{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**Chapter 9 – Unsupervised Learning**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_This notebook contains all the sample code and solutions to the exercises in chapter 9._" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", " \n", " \n", "
\n", " \"Open\n", " \n", " \n", "
" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "# Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This project requires Python 3.7 or above:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import sys\n", "\n", "assert sys.version_info >= (3, 7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It also requires Scikit-Learn ≥ 1.0.1:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from packaging import version\n", "import sklearn\n", "\n", "assert version.parse(sklearn.__version__) >= version.parse(\"1.0.1\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we did in previous chapters, let's define the default font sizes to make the figures prettier:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "\n", "plt.rc('font', size=14)\n", "plt.rc('axes', labelsize=14, titlesize=14)\n", "plt.rc('legend', fontsize=14)\n", "plt.rc('xtick', labelsize=10)\n", "plt.rc('ytick', labelsize=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And let's create the `images/unsupervised_learning` folder (if it doesn't already exist), and define the `save_fig()` function which is used through this notebook to save the figures in high-res for the book:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from pathlib import Path\n", "\n", "IMAGES_PATH = Path() / \"images\" / \"unsupervised_learning\"\n", "IMAGES_PATH.mkdir(parents=True, exist_ok=True)\n", "\n", "def save_fig(fig_id, tight_layout=True, fig_extension=\"png\", resolution=300):\n", " path = IMAGES_PATH / f\"{fig_id}.{fig_extension}\"\n", " if tight_layout:\n", " plt.tight_layout()\n", " plt.savefig(path, format=fig_extension, dpi=resolution)" ] }, { "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." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Introduction – Classification _vs_ Clustering**" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–1\n", "\n", "import matplotlib.pyplot as plt\n", "from sklearn.datasets import load_iris\n", "\n", "data = load_iris()\n", "X = data.data\n", "y = data.target\n", "data.target_names\n", "\n", "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\")\n", "plt.ylabel(\"Petal width\")\n", "plt.grid()\n", "plt.legend()\n", "\n", "plt.subplot(122)\n", "plt.scatter(X[:, 2], X[:, 3], c=\"k\", marker=\".\")\n", "plt.xlabel(\"Petal length\")\n", "plt.tick_params(labelleft=False)\n", "plt.gca().set_axisbelow(True)\n", "plt.grid()\n", "\n", "save_fig(\"classification_vs_clustering_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**: the next cell shows how a Gaussian mixture model (explained later in this chapter) can actually separate these clusters pretty well using all 4 features: petal length & width, and sepal length & width. This code maps each cluster to a class. Instead of hard coding the mapping, the code picks the most common class for each cluster using the `scipy.stats.mode()` function:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code\n", "\n", "import numpy as np\n", "from scipy import stats\n", "from sklearn.mixture import GaussianMixture\n", "\n", "y_pred = GaussianMixture(n_components=3, random_state=42).fit(X).predict(X)\n", "\n", "mapping = {}\n", "for class_id in np.unique(y):\n", " mode, _ = stats.mode(y_pred[y==class_id])\n", " mapping[mode] = class_id\n", "\n", "y_pred = np.array([mapping[cluster_id] for cluster_id in y_pred])\n", "\n", "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\")\n", "plt.ylabel(\"Petal width\")\n", "plt.legend(loc=\"upper left\")\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What's the ratio of iris plants we assigned to the right cluster?" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9666666666666667" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(y_pred==y).sum() / len(y_pred)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## K-Means" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Fit and predict**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's train a K-Means clusterer on a dataset if blobs. It will try to find each blob's center and assign each instance to the closest blob:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import KMeans\n", "from sklearn.datasets import make_blobs\n", "\n", "# extra code – the exact arguments of make_blobs() are not important\n", "blob_centers = np.array([[ 0.2, 2.3], [-1.5 , 2.3], [-2.8, 1.8],\n", " [-2.8, 2.8], [-2.8, 1.3]])\n", "blob_std = np.array([0.4, 0.3, 0.1, 0.1, 0.1])\n", "X, y = make_blobs(n_samples=2000, centers=blob_centers, cluster_std=blob_std,\n", " random_state=7)\n", "\n", "k = 5\n", "kmeans = KMeans(n_clusters=k, n_init=10, random_state=42)\n", "y_pred = kmeans.fit_predict(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: Throughout this notebook, when `n_init` was not set when creating a `KMeans` estimator, I explicitly set it to `n_init=10` to avoid a warning about the fact that the default value for this hyperparameter will change from 10 to `\"auto\"` in Scikit-Learn 1.4." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's plot them:" ] }, { "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": [ "# extra code – this cell generates and saves Figure 9–2\n", "\n", "def plot_clusters(X, y=None):\n", " plt.scatter(X[:, 0], X[:, 1], c=y, s=1)\n", " plt.xlabel(\"$x_1$\")\n", " plt.ylabel(\"$x_2$\", rotation=0)\n", "\n", "plt.figure(figsize=(8, 4))\n", "plot_clusters(X)\n", "plt.gca().set_axisbelow(True)\n", "plt.grid()\n", "save_fig(\"blobs_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each instance was assigned to one of the 5 clusters:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([4, 0, 1, ..., 2, 1, 0], dtype=int32)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_pred" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 11, "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": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-2.80389616, 1.80117999],\n", " [ 0.20876306, 2.25551336],\n", " [-2.79290307, 2.79641063],\n", " [-1.46679593, 2.28585348],\n", " [-2.80037642, 1.30082566]])" ] }, "execution_count": 12, "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 (they are not targets, they are predictions):" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([4, 0, 1, ..., 2, 1, 0], dtype=int32)" ] }, "execution_count": 13, "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": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1, 1, 2, 2], dtype=int32)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "\n", "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": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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o3roz97TtRM9O3UnesA4o8ajMTPyI2SsWcCb3LG+OeaWMd8jSoMnyXm79/tK5XLkiM8NC4zpfQW/yq60QkbuSaKOrV2XYoK4+Uaot8B+0wkV6N3LT4xrXr+NWO12JSB72LQIiiVfxrqxYn2TxGPMOuivWJ6nJtqbhmTeeeZlmjZoCkL57G19uTuVy8WUqSBU4nHmEz75Zw67kn/hozlzCw8MJCQnh0KFDPPLII+Tn5xMWFkZ+fj79+vXj8OHDhISEEBYWxpQpU9i5fw8FhkKqRUTx8ohneXnEs0RHVmPf4d8A1MdqEVF0bNWOahFRmven537LAzNXzKX5bfVp2uRGb5viEryZVCsSegX2opVIa28yq/nxWue7OkHWmfV8LXk40AkID4ye/BBLwxpNvRjRkdVUj0j7lndSdLmIjF93AnBFvkJ0ZDWef3wsQSHBtGjakouXLrJmzRoefvhhVcSsXLmSgQMHcvjwYRo3bszq1au5/voadL2+CxMnTiTt45ls2fkznVq3o999D5G6ZSPPDBzJsVMneGXkc5qeIWu2+xt6vUeJKaswGC/x4XtPetA69+LNUI4z1zb1HAF2e3J8pVGfwD60wkX2JrOaH691vqsTZJ1ZT+S6+BYBIWAs5YeYb5amHXQHxSeo55i39Z+9omSw9thBowgPDWVzRhoNYupzJOsoP+/JIJcC2jXoDEC1atX44osv6NevHwcOHKBFixYAxMbG8vnaz4mMjOBSURFBFYJo27YtWVlZpO/eRvrubew6uFf1Ah3OPMLPezL4eU9GGc+Q+f35cz6M3mqqV+ZNoW6d6nRsH+sp01yKI5u2Ozd6Z8JTpsnFgN0Jwb7SqE9gH1rhIns3ePPjtc53tWhwZj2R6+JbBISAsYTWZmnrtUHxCfywfQubM7YSFhLKB8+9yYuzpvL842P5eU8Gg+ITqFK3GnJwMJeKigC48cYbWblypSpeAFauXEnNWjUpLCwEoPhKMY0aNGRIfAK//fk7Ofk5jOw3jI6t2tGzU3c6tmpXyqNSXvNb9HiPvk3/gZzcCyyZ97SnzHK5eNDatC1t5Mq1CwqMTH1ndZn3vY2W98YeT45IIi4/2LvBmx+vdb7Wa87koggRUn4IiBwYSyg5LebC4MUnx1NgKCQ7L4fsvJxSc5AWrl5KwxtvpktcRzXEsyF9Ez/vyaBnp+4Me+Vp1qSuI7hiMEFBQQAcO3aMgQMHlrr2wIEDOX78OACSVDKJ+vCRP0j+LoVdB/dy9HgWg14YQWyDW0ndslEVLKZN9cojeu7vxbkvEBUZTu8H4jxml6tzRIYN6sq7rw8ps+mbv2Z6bUDzfUfJPnuO92avI/usc7kFpo32TD05781ex6E/jtm8hi9P+r5aPOgUtnIufL0Jmi/loCiY56L4+mcocA8B7YHRCrVER1YjPDSMVz58k/DQMAB1DlLqlo3qfCNAFRZQInxKOu5u5cjJTOIf7UN4aBgnTp6gb9+HOfj7QWJjY9UcmAMHDtC3b1+++PxzIiIjkSSJ7du3YzAaqCBVICioAoVGA09OHkNOfi4QWA3qLPHr4YP8ceQEs94Zpgo/T2DNS+CId0YrZKP1WvbZcxQUGJn8Qn9Gj+zp0k1eEUY/pv3GJwvGuG3t1A0lfT58yWukhzffSwbgjthbnFrHVs6FrzdB86UcFAXzMJCvf4YC9xDQAsYSpqIkJz9XLa+uFhHFmdyz/Lw3g0oVK6nTp5UZSfVqx9C+5Z00bdCYU1knqFotgocfLhEvjRo1Ijk5mdq1a5OcnEyfPn04dOgQffs+zJo1yew/cICsrCwqVKjAlStXqFI5nKLL57m3bWeaNW7KoPiEgCmPtsYzH04gpHIw/x1+v0vXdaaE2Z05HEtXbGLqO6t59/UhLvdQDBvUVRUYS1dssmi7XoFmepxpl9+7O9zml+Ghg4ePAfDhC84litvKufD1xFB77bMV3nH0fs3XNRUqvv4ZCtxDQIWQbM0LUt4H1DCGEiJ6cdZUcvJz2Xd4Pxm/7iJt9zY++fIzHh4/hJmJH/H2xzNZlPwJVcLCGJXwOHNmzuJ09hkKCgtp3LgxX3z+OTWia8AVmWrVqpGcnEyjRo0wGA2cO3+e9Ulf0CWuA7MnvUNU1UhCQ0IBCKlcmcSUVRzJ+lvNxek+vA+HM4/ovq/ywtm8HHZs/5XRI3sSHGxZezsSGnEmRGQp9OMK3Ll2dPWqfLJgjM319X42pscpgq9xwzo+Gx7yFLZmAjk6M8hT2GufrVJjR+/X2rqma4pwUuAQUB4YWxUuWu8Pik9g666fSzWwg5Lp0zv37yFt9zYuFRXx4pPj2bZvBxvSN3HgyCGyTh7jbGE+SauSCA0LJTIqiqLLRVQMCkKWZaKjo0lOTka6Ams/W031sEhWZKxi76H95J7LA6BRvQak78ngSNbfJDw7jI2LvyAxZRWHM4+oXXi1yqrLK0+/8RxBQRV46dmHrR7niEfEmURSdzSYM/VmuDP0osd2vZ+NreNEubTv4Y7GbPZ4Q+y5vt517Qkn+VpjOl+zx9cJKAFjq8JF6/3oyGrqSIEzuWdVAXP0+D/07tqT8LAw3h43mUb1GnA48wj9JjzGkayjAHyT+g1//vknU6ZMoUOHDgAYL11EvpoZmH3yNPvSdjL13TfpEteR2tfX4vjpk0BJs7r5r80g//w5Br0wguy8HFK3bGTV+//jxVlTeXvc5FLixbSsujxSXFzMV1s2kNC3PVFRVawe64gYcVeXW0c3bb0izBOiQO9nY+s4US7te7gjd8Q0vGNrQ7bn+nqrh+wRUL6WO+Nr9vg6ASVgbPVHsfS+aY+YsJBQCo0GwkJC1SGLCskb1qniJSgoiMvFlynML2DGG+8yMW8iXbt0ISQ0lAqyxPWhUfTu0IOjfx+lQd36bM7YSlTVCABCK4eQk5/Lz3syACg0GlSBYiqoCgyFqnhZOHmWxbyY8pA78+zy5wF4743HbB7rLjHiCI5u2npFmD+JgkArl/aHX9OuykexhK0N2XQm0vuJX7rks7ImdMzt9rXcGV+zx9cJKAHjLNGR1Xh5xLOAbVFQXFwMQObxf3ioa09qRFXnTO5ZZi9cwItPjue5/zzNm4s+UJvi3de+KyP7DeOFmVN4Z/wUDhz5vVQS8fOPjy3VTO+VD9/kxSfHq2Xg1oSJ3uZwvkpxcTEff5REx3ZNiKkb7W1z7MLRTVuvCPMnUeBLwtIT+MOvaUd7oui5t+zccxQUGnltRD+LG7Jy/fcTv/TIZ2Vutzt6wogeNZ5DCBgTTEUJYFWgmIsCJYF2xCOPsf/IIZre0pi9v//G9l93snP/HlZMXwSgenDeXPQBhUYDAF3iOqoelO53lfyPrjwqM5mU/JsCQyEj+5cML9TrUfHn0QIA0797F4DFc//rlvV9tcOtL6wvcBzzX9P+4JHRix5Pwbykb5i2OJnXhvcrdb9an8PQ+C4UGIwUFBrJzj3nts/HEx4OfxCu5QUhYEwwFSVAqe675mLGfHr1wtVLefvjmdStWYd/T5WUX97Z/A62/7qTtN3bGPbK0zRr1JR9h/eXSgTu0PJOXhk5UVMsmTbRKzQa1PPsHRXgz6MFiouLmfPu/7ityY00buieqbX+EIYRCbD+h/mv6fK0senyFEhmj1fR+hyio6oSHhrCpNnLCQ8L0VzbWQHoKQEpwkCeQwgYE7Q8FaYhG7gWglHKqzu2akcjE3GgiJf03ds4mX2SIfEJpO/JYHPGVlWAdInryD8n/uVI1t8cPf4P7/5vNhvSN7F1188snDwLQM1xUZrojew/jBpR1f3Wi6KFntycFQc/4cIFA3M/GO42O1wdhnGH2PAlkeXPYsqbtvvqxuaujf3p/vcTHhpS5n4tfQ62Ph9nBaByfoHBqNrlzP1a+ty8FQYqTx4+vQgBY4K5p8K0lNr0Ues1JaxzNi+H/UcOcezUcY5kHSWoQhBHsv6mQUx97mnbmeqR1RjZfxg5+bk8+94rNGvUlMd6PwrAhvRNrFifBKCZ4+KvXhRL2MrNkWWZt1+dzQ21oujkxqGNrg7DzF2YytR3VlNQYGTKSwNcsqYncl30bu6KmCooMBIeHuJXQsabQtCejc2Tm5G7PEOW7tfe1+FqPo3ByGvDLefT2GJofBcKCo38395DfL99H+D4/WbnnmPYlLmkpu1yah1X4uz36I8CSAgYHVgaOWA+AXpk/2GsWJ/ESyOeJSc/Vx3y+MbC99ickcaDnXuo4wkAKgUH81jvR2lUr4FaWRQIAxsVbOXm/Lz3F/49dpbEhWOQJMmvf/k7iytElqXPz95hkYqIKigw+oxXSC/+kvTsyXCTuyuRHD3elGXrNzNtUTLTxw52eHONjqpKeFgI32/fR88OrZzyhC1bv5nUtF1Or+NKnPXw+WOIUwgYXFdmbO5RWDuz5B/3O5vdweaMNL76aQNHsv4GUJvjAaydmaiOJFDsUMRReSiBtoQtr9IzsyYSUTWMR/t1BDz769kZsTR6ZE/VM+Ep9Nhr6fNTXp/8Qn+rXXnNm+tlnz3n8ft0Fn9Jera2Gbn6l7I7K5GcOd4UV4XfTNdx5rPTs46nPRrOhq58NcRpDSFgcLzMWBEXPTt1J3XLRjWh19yjMLL/MLbt28HmjK10ievAoPgE9di3x01Wj1MSgX/YvoWlb8wjOrKaUyXQ/ix+/so6yqEDf/HGqwOpWLFkqrc9v56d9dY4I5a8sUma26t1/5Y+P9PXrX1W5qExvfdp7bsIZK+aNaxtRr7wS9m0RFpvDxfTDVLv5m56nOm9OioOXJWfomcdX/ie7MEfS7gDahaSJQbFJ6i5Jvag9mOZNZVXPnyT1C0b1RlKpkRHVuPOZm0AaNboNlasT6JaRBRrZybSqF6DMutuztjKwtVLnbLN1D4lr8afeGrOOCpVqsjYpx5QX1M2TD0bnb2zjcznJzkyg8iRGUyOYsterfu39PnZ87nqscX8ubXvwpkZVP6K6aweR+b2DI3vwvSxg936S9mWXcvWb2ba4mTCQ0NYtSGNSbOXM2/1N1bXNN0gh02Za3Vekul1tI7Tet3XZiB54nsKdIQHBsfLjBVR0bNTdzq2amdVZPS77yF2HdwLYNGjYuqpcdY2U/v8rXIpJz+X9J92MGJoN6pUCXVoDXtzHcw9GI54UZzx2tjribBlryO5HrZssBQaM7fF9PmwQV0pKDAy+YX+mrb4S06KKzH9ZQ6U+ZVuy7vgiV/KejvoDo3vwrykEuHyf3sP6erhYk/+iLWKJfO+Mb7m8fBHj4a/IQSME5iKi0Y2RIZSdt2qSXPeeOZlenbqzqzl80uFd6Ijq7H0jXllknldYZ8/8czCkm7Hb08Z5PAa9goQV2ykzqxhr/ixdS1L929NpNiywdKa5raYPi5dsYmp76zm3deHaIoif8lJcSVam7JpWKXAYGTaomTAexuxrXwI08356YT72XHwCKlpu1i2frNNm+M7teG7n/cSe3Ndm3ZYq1gy7xvjjzkcAueQlMGCvk6rJs3lrYmp3jbDYczzUWYtn88rH77JG8+87Jciw13kXzhH3XtiebBHG1KSXvK2OR7j0B/HmPDSUma8NcxtDfsA3pu9judfTeTd14eUEQ7uyEfx5xyXQcNn8WnSFop3rvHI9ZR2+q8N70d4mPN9ShzFkfwSS+dovW46NmD62MFOlTLbm0fjL+XBgmsEtX5kpyzLbbTeEx4YF2MpcdbcG+Kv4R13M+2LN5BlWDQnsERdSuovpG7Yxd0dbuO5sa4RMFrioVfPO/gx7Td69byjzPHOeEOyz55j7sKSHxijR/ZUr+dOD4s/iyMtzCtblJwOV2y89mzijoRiLHlKtNZS+rEgOect0RuiUUYaFBQamTzKvn9vPSl+hNCyH5HE62IsJc5m5+Uwa/l8dWaSImj8rTrInRgvGkn8eA1t2zSkVs0ob5vjUfQmDWslCltKHtZKkFWEUkrqLy61XwkVTX1ntdMJuXqTob2ZAOyOhFFlQ1Y2L0sJrPag2Dlv9Te611KST5XqIuUeXZVwHB1VlcmjEni6//3MS/qGqQuT3Jt4a2GkgR5c8R344rXKC8ID42IseVb8fSK0J1i2biUGwyUWzB7lbVNcgrMeAq3ztfJUtF7LPntOM3lWK3fGFZ4MJVnXfG1H0JsP5M0EYE8kjOrJ6bD1q12x87Xh/XRXxFiaEO3qe1YqmQDCQ7XnH7kCSyMN9KCVLOwuT4nI4bEflwsYSZJigESgFnAFWCTL8myzY+4GvgT+vvrS57IsT3O1Ld7AUuKsacWSafKutV4t/tzHxV6uXLnCm0s/oMFNtWhx+03eNkfFmc3dnsRcvcJEa9NWxENBgZHss+eIrl7VYvKsVkjHFaMPoqtX9fjYBG8mAHtis3FFrxG9jdssTYg2fywoNFJg0D8x2pp9rgol2cKZaiCtZGF1plKh0aW5SpbsFKEly7jDA3MZeFaW5V2SJF0H7JQk6TtZlg+YHbdVluUH3XB9n0QRNkryLpR4Yqx5ZgLJa5O6ZSO5OfmsWPiMt01RyT57jsdGzSF1Q8m8E3s3S3s8BFoiROt8rU07unpVwsNDeP7VRMLDQ3hu7ENu8054Iu/EHyqTfKVE1p5qIWtYmhBteq7Sin/S7OW6PSbW7IuOqsrTCff7fMjEVLgdOnpMncmEVLYE3h34Wnm4L+FyASPL8gngxNU/n5ck6SBQBzAXMAGJeYjJWjJveUv0teZRen7ea9SIrkqPbi28Y5wGS1dsInXDLnre10pTCLiiw6zpceYixJ6N3FywWDtXuWavnneQkvoLPe5tyS+7/1RHNli7D29PxfZk4u6OnX+6ZB13/oJ2lZDS61Gyx/Okdd/mr5lvzr7obTAVbjsOlJSLK+E4R0NT9iBCS5Zxaw6MJEn1gZbAdo2320mStBc4DkyUZXm/O23xFbSGQFryrvhrHxdLWPIo7Tu0n38yjzN/5ggqVPCdvHJbLfatte9X3vsx7Tc+WTCG6OpVNSt1zJu+mT7agz1iR7nmxk17+H7zPu7t0ozvN+/TrIAyv0dHbXSV8PCkgDr053Eiqji/ier5Be2JjdsV17BHMGndt/lryqasJAz7Qg8cLUzt7Ny6qfoZesJGX/H2+SJuEzCSJFUB1gLjZFk2TzHfBdSTZfmCJEk9gXVAQ401RgAjAGJqua83hsAzWPIoPTVzHJUrB/PkY90A3+lHYksUmG/m5mLkx7TfSN2wi6UrNqkdapVpzwDh4SFqObMnE1GVa53Jzuf7zfto2ewmundtoatTrulnYs9nqiXonLHd2uflyr8/zRvabrZmCz2/oD0RJrB2DXdc31LDPtNHZXOeuiCJaYuTeXZwL59sv28qIhrXF3uRr3jK3CJgJEkKpkS8fCrL8ufm75sKGlmWUyVJ+kiSpGhZlrPNjlsELIKSRnbusNUdBFLyrT1oeZSOHvuHvbsO8spzj6hDG93xK9sda1pr3x9dvSqfLBijbqRQ0oNl46Y9NG5Ym/Ttv/P95n2l7FGazLnCRmubuJJfM3dhKpNf6F+qb4utezTFns9US9A5gh5Pk7fDXObo+QUd36kNP+3cT3wnzX5dLsGakLIlshzZsJT7Nu9no/lZXC1xDg+t7NUBlb6wKfsDvpKX444qJAlYAhyUZXmGhWNqAadkWZYlSYqjpB/NWVfb4i0CKfnWWZ75aAIAr73QX33NHQmonii5Nd9czZ+npP7C95v3UalSRb7fvK9Mbo1WIq8WejwMtjZxWy3+9VzPns9US9C5C3+cr7R+yw5S03bRuXVTl/7CN9+ULW02tkSWMxuWnnMH3NeBHQeOMOC+Dnat7Up8ZVP2B3wlL8cdHpj2wGDgV0mS9lx97SXgRgBZlhcAjwBPSZJ0GTAAA2R/mWmgg/KWfOsuTmWf5sfvtzH0P10IDr72V9EdVSi+UNmidMF99bl+3N3htjKCwLSaCFAHJ9o7swhsb+L2bPKWrmfvZ+qp78Ct3X9t/Ep39Fe8uzYE0015aHwXm0m1tuxTclXsuT899+YuAWcPvrIp+wO+kpfjjiqkNGz0PJRleS4w19XX9hXKW/Ktu3hl9RRkGeZ9MNyh812R6+DIGo5et/S4gIc0j1FETvbZ8xZ7s1gSH+bzlKxt4s5UOAUytn6lO/or3l0bgummrCep1pZ95s3t9KDn3lwtHkyFGaBLpOmxU4wW8C1EJ16BV7hQWMCaT7/m3rubERYW4tAa1jwRekWGI/kSjuZY6AkRKSLn3i7NLN6LJfEx4aWlas+ar5Nf0W2XLXzBe+Urc49MN1o9zd+8jemmrCep1hbuuj9XCzhTYVZQaHR4FpK1dd3tgRAhLdsIASPwCnM+XURRUTFL5492eA1rngF3tqN31COh1XDO0tpKjxbTkmwofS/mm/qMt4YBqI/lCV9JzDXdaLW8Ea7eiF0ZsnLGNtPrWCsFn7f6G5Dh6YT7veo1MBVa81Z/U/KiA7OQrK2rB0c8QY5eKxARAkbgcYqLi5m9ch4tmt1E3TrRDq9jzTNgbzt6ZYCgnl/4zngkbNmlVAiZChNL55iXJjduWKeM58VXPBfO4othLE9sMMqv8J927mfplNFlNj5nf6XrPV/PROdl6zerPVyUtvvewlSsOTMLyRRHQjqmny/Y17nXV/JMfBnf6RomCAiy83IY+srTFBQYmfe+vtwXS9OJrU0tVkSG3k3b1mTj7LPnmPLWKqa8tcrmlGRr9uuxy9wWS+cMG9SVnve1UkuTta6ndV96pz3ruR9PYe/36QnMp0frwd6JzkPju9CzQytS03ZpttzXmvZsD7rP1zHReWh8F14b0Y/XhvdzSixY+4zs/fxcmUfiyLRo08/X2e9KD+6Yku7LCA+MwKOsWJ/EFz98RUTVMO6681Zd51gKH9gKK9jjfbD1C9+0CZ2l8I8e+829K47YomBemqzcb0GBUU0ABpj8Qn969bxD9TA5E45xdj5UoGOvxyQ6qipLp4wuFYYwf1+rukgven/lD7ivA/+39xCFhosWBzlGR1Vl8sgEp0WDKxvuuXJUgSMeN/PPV+TNuBYhYAQepX7tGADef/Mx3ecolTlK11oFPaJD70atp+uuIgj0hDFMxwYoM4b0igd7QlSmxyqN8Ca/0J93Xx/Cmex83pv9JZNf6E9K6i8uGVlgaz6UwDqWNkFrG6ulhnAK9m5aejbx7NxzzEv6BqSSEMz6LTv4fvs+vt++jxrVItzWMwaca7hn63hnbPOHkE6g5c0IASPwKFMWT6FKeIg6NkAPpcuPr/WIsLfVv72Ye3DMy5mteXgseWzMbXI0R0XrPPNOwFPeWqUeb/6eI56T7LPnKCgw2uze68t4OyfI0iaoZ2O1dIy9m5bea01bfDWf5Wr+SEGhESTb3XqVbsLKcfZ6PZxpuGfreE90PNZCz2BLvedZw9dKwd2NEDACj7HrwB7+/Osks6c/Ydd5zlT9ODK3RzneNFSiFfqx5k2x5LExFw+6ZwRJoRAUBVIlzp3LZ+JrH/PJ8tRS1za/35L3rv1j5my4RxFlz43pzWOj5qj9ZuzFmyLCV6qZzNEjQiwdY++mrvdapoIlOqqqzRJkS8LIlWENZzffVRvSSE3bRZvYBkweWfp+LK3tig3f0R487ggJlacwkxAwAo8x6aNnCQ4O4plRPe06zxV9SOzduMxDJVrnWxNWWh4bKLt5m84ImrswtWz33QrXQaVbIai6ukaFUCNvvbOYhEd3cms97WS9uQtTmfrOanXStHnejh4RoWUroE6xBsf6zXhTRLiimskdv2D1iBBXhTD0XsvenimWhJErwxr25rSYl3aj9HvX6PvuTgHmSA+e7NxzFBiMTidF67HFXxECRuARjh7/h58zDjHuvw9SMi7Ls5huXMrGbNprRavCR3m0VMqsVfJsC/PN2zQRt6DAWHpjD6rFP6erERJSzPXXX1sjNLQyFy9dpk6dehRekSGoEIpPal6v5e0lk6ZNk3ijq1fVJSK0bH1u7EP06nmH2vHXEfSKCHd4ahz5zswpT79gXYklYWT+uisSaZWRBkqTOrDcGdm0tPvphPsJD9MuqbYlwBwZo6Cg9dnomT81bVEy08cOdmmoxx9yefQiBIzAIzy35CUAakRXtTqo0JWYb4Dmya6K5wPKbuK2BjMq2NsN2JIQUnrRKB4YKlzHP6ercXfXHoSGhrL5h2+4/qqKka/InDl9moSE/ly8eJEfN33LjTUK4Mp5dc3RI3teWwvKVA7pERGWjqle7Tru7nAb1atdZ/Fca+j1qLnLU+PsuuXpF6w3KCMAK4VBWBRUrASXL0FhLlwq1DzXfKTBayP6WS1NHhrfhQKDEeRroTB782ucGaNgC2tiTvw9s40QMAK3c+7Ceb5Z/yPNmtbj5WkrCQ6u6JHQgaWNyrTbrTJU0RKm1URK4qqpB0dJajX1cCjXVsqZleubCxqrIwIq3UpISDGhoaEcOHCQLvfcz+YfNnB9zVoc/edvej/Ul8OHDxMb24TiKxIXuYXK7FbtNhds5pVDehr4WfJW6M7bcRJ3Na9zdl1f/QXr6tCWu5I9lQ35iQEPId0UB+HVyx5UcBb5xAEwni/7HqU3d1vzjfTmuui12x5BYX4t8+fWvHm++vfMl/AbAbP7931cF1fXoXMrBVeiUqVKLrboGjdE16RmdE23rd+p9V20bxHntvVjGzQmOkrjHxEXMXne2wCs+Hgs336/x2Plt5Y2KtPN3bSqSQsllwSuVROZbuCpG3bx7utDSpUpA6XKmU1FjamgsigEpFAIqs7118PmH76hyz33XxUxPUhatYqEAQNKxEuTW/lq/Toqh1Sh6EoolaVQkA1WPwdbk63NRZWl3B/l3peu2OQ2MequGUy+MNvJHdgT2tKzibsjVKZcd8SwIeSHx3C5oJjrw8sed7qgGGOlesRUPgv5J8q878zm7smBm+bXMn/uCi9Leaoqshe/ETDhEdfRsFlTu8+7cqWYY/t/5/LlYjdYBTIyf/7zN3/885db1keGrTv/zz1re5BqUVW4vWl9bm9a32PXdOVGdW+XZmUEkZYHx/zPpoLB/HyLQiAoSj3n+uuvZ/MPG+hyTw8OHDjA7c1KhjzGxsay+YdvqR5dHYPhIqGhlaEoCi6XFTD2jFwwFyyWQl6mDfQEzuGqDciezVDPJu6OEMay9ZtZtnEHDzzxLPHdSsKjmzZeC48CnD59mq7d78dgMLD5u2+JCblg0RPjSOWQJ0Mz5tcyf3SFlyWQc7IkWdZIx/ZBGjaLlWd+vcLbZniF4uJi5CtX3LK2LMPG1V+Sc+K0m9a/QvLcpQAUnvqsZKP1I+xNJD30xzE1wdW8xFhrLdPXoERAPPXUKKpEtbh2olSR3377XRUvAL/u28dtt90K8uVrx136HYqOOmy7o+d4Yi1vIFXtS6eWsWz+eJpbr6PkVkwfO9hjG5CjfUlccd2carFERNfk3vt6cuDgQWKbNGHT9xu4/vqanD51iq7d7rv2+sZvuD48CPnv7ZrrWfrstF539P685eHQe93y7oEJav3ITlmWNRv3+I0HJpAJCgqCoCC3rf/AoEfctjZAaJVwEt+ZS7N24/ljz0duvZazWM1L0XH8hJeWqsmy5iXGinejoMBYKsHW/P1GTe6gd58W6uunT50kYUDpkuyEAQPKeGCC5EuljlHCXwUFRs2Sbi0c8VpZEiq+2nPF1/BGsqbWL39P9GuJrlmLGo1KhPimjd/Qtfv9HDh4kK7derBq1SoGDBhQWrwonpngULJPnyqzpj2l29buz5oI8JaHQ+91AzlXRggYgdvp999hJL4zlz//OsnFi0VUrhzsknXd8Qvf3k3XXCQopcVaJcaKYDEtlwZKtfgvKDDy158HKb4iE1RB4vTp02oOTGxsrJoDc+DAAbrcc5+aAwNQRcoFrn0uhYUXdd+3tc/S1udsK1lahJms4ysbkDv7taiElQ6Pfv31VzzwYDwHDhygmUl4dNPGb7m+hsmk+vBqLFu/qsyaeku3bd2fNbHgrWogUYVkGzGNWuAROvYqGR3w3CufuGxNWxOkbaE1VXnYoK6lEm9tHW9O44Z1+Dr5FapXu67MsYp3Y/TInuo1TK8XXb0q4eEhTHjhI/44/Fsp8dKoUSO+/PILmjRpxNdfryc2tgkHDhzkwfiHuGi8QHCFfJANZJ89x6OPz1AFxbuvD2H0SNuNA619lrY+514976Dnfa3KzKryxQnSeln4v28BqFUj0ruGOIk904m1pmubnq/8+dDRYzbXtDR5+cKlKxQYjFy5mrpwY926fPbZZ6WOWbVqFdfXNCuKqFjJ6jRnPfdpbXq4KydFu2oitCPTzgMN4YEReITR77zK1pTvmLsoldnvPuGSZnbO/sLX8hxYC6FoHW8qDkz721jz5JhfQ8trUTPiOOeNERgMBmJjm7B27RrCwqqQl3+OSpVC+Gr9Oh6MfwiDwUBhoYHCvAOcLyoZf6B0yQ0Lq6w7dKPV6M+0iV9BgZGCAqNmDx9Ls6rcgafyajZ8vxeAFW+Mdds1PIEj4Q/TcIrp+QCTZi/nu5/38n3GPgoKjRa79VryjGz+eSd33FefK7JMBUniwvnzPProo6WOGTBgQFkPzOVLVhvi6b1Pi6EtK14wPWs7YovAeYSAEXiEsCrh1KhTizPHTvJZ8lYG9u/k9JrOVhlZEkCWNklLFTnh4SE8/2qi1aGNetYvfU8yUUE5/LjpW0JCQqgeXQOD4SIhlSthrHSJ0Osj2fzDN5zJzuPFl16lY1yJaz51wy7u7dKM9m1v1eV5KXvda43+4FoHXq17tPU5ugNP59UEuTH3zBM4EoYw3YC1zj+Tm8/3GfvAgd8g7RvVJCQ8lCuyzF+ZWSQk9Of33w8RGxt7LQfmwAG6druvdA5MQY4uO211y7VXjERHVdX1Gdr6zATuQVcVkiRJ/YAVQCNZljOvvjYbeBC4S5blU261ksCuQiov/PtXJk/d3Zew0EoUnFpl+wQvoWzg774+RNcmqWc0gSlT3lrF1HdWq1OdrXoUNGYhqRSfJff0Dj5e+kWpKiZH8lhsHWvrfK2Gf+7AUx6YvgOn88VX2yneucau88pDRYie+UL2VMfEd2rD+i071OOlm9py8sJlunbvUSJemjRh03cbuL6mfVVIWnbYqujSY7sjVWHOfu/l4e+Nu3BFFdIaYBLwCjBckqSJwKNAe0+IF0H5oO7N9QiqEESh4RJnc85RvZr3/0fVKmNWcjlMPQqWNk7T1215B9TkWsO15Fqb55w5xtIVy3nisXgqVo5m246j3NmmPlXDjCAbiKqKxXCUKVoVUJYEgJZny5a3S5lUDWh6aVyFrzehKw/hA1tJxXqTjpXP4qed+0lNK6nMmzikN/KJA1yqVI+LxovXREqNaLhSzPU1ovl+Qypdu/fAYDBgNBqRz2XqtsOW98OS7aYCwhEPirOJ2PYOqRSUoEvAyLIsS5L0EvC1JElHgJeBrrIs/yFJUgywHLgeKAKmyrL8udssFvg1o958gXkvvknrjhM5un+Rw+u46pe4qYAAynSlVdrsWxIapsIAYPIL/S2GUpRjzTv0guXwi5Z9ej1DpmhVQOkZb2DP+spnEMhVRyJ8cA3TsE7n1k2vfSbG88RUPsvm70rCo6ZN7ACuqxpBUtJqgiSZGOks2SeO6d7MTYWEPSLAXEB4WnzGd2rDTzv3E9+pjaY9eghE0aM7B0aW5Y2SJP0CvAHEy7L8y9W3LgPjZFneI0nS9cBOSZK+lWVZexqXIKDp8Z++zHvxTTKzssnLu0BkZBWH1nFVLoRW/oZWV1pLeR7Kxp2+/Xe+37yPd18fYnHjN+3gm5Ja8r+PLY+CNfssoSVCNAdGYnm8gfJcL9HVq+ruNVOe8ZWSaHO8sbmZfhaN69dRq3OGxnchGogJuYBUPbbMeaEhlalUbKDGxWNQJNu9mSv3WmAwqpOoleRaS/fvbeG5fssOUtN20bl1UxrXr+N07pIv/h10B7oFjCRJXYHmlKRuqWEjWZZPACeu/vm0JEm5QDTwj2tNFZQXug/sw8aVX/Dam6uY896TDq3hqsRRPRVBptOszYcfKgmu32/eV2pYolZHXmUN8yRZJX+ksPAiYWGVS+WQWLPPEvZUQGmNNzB9dBRXeXYEljEVJYBmvomCL2xuZWwwni/JbQkOhfBq6jRqqSCHRrIBro6vs3czV67z2vBrk6pt3b+3hac9IwYsiVFvizBvoEvASJLUHPgceAZ4AHgbuE/juDZAMJDlQhsF5YzHXx7LxpVfOFVS7YlcCK1rWBpuqDwqm7OljrzZZ8+pE6xNvSBK/giUzSFRBY7hImGhlW0myWqJEEsjDkzv0ZUiw1WeHYFlTHNM2jRpwLTFyWXyTRTs3dzc4bGxZENJh91VFq9lr7gwv44i7LSu7Sqc/bzsuUdLYszbIswb2BQwkiTVA1KBGbIs/0+SpAxgnyRJd8uy/KPJcdWBROAJ2V8GLAm8Qvh111H/hhocPXGGpSt+4PHB93rbJN1YKqU235QtdeRVxIppqEkJQykeGK0RA6YC55fdf5aeXm2Glj3WRhyYXsdcZDiTE6M8aok2gfMMje+iCpY2sQ2YPnZw2XyTq+jZ3Nzdy8SSDa6+lul1lIoiV61tCU96uALR02IJqwJGkqRqwLfAV7IsTwOQZfk3SZKSKfHCtLt6XGXgC+BtWZb9f3SywO08v3IB/+3yMP8dv8gjAsZV3gW9nh+lI685vXrewY9pv5XqWqvkjyg2mqMInKxjZ/ny64xS06v13pe1EQemZeDK9RScyYkx7StjLtq0EGEm+4iOqsrSKaPL/PJvXN+xZoLe6mXiyLUOHT3GxJmf8P74x6zer0Wvj4vLnj35eQWip8USVgWMLMs5QBON19X2i1KJ/38ZsEmW5eXmxwoEWsQ0qE9QUBAXL13m78xT3FSvpu2TnMBdIQx7N11rXWst2agInAf6vcHZnPPc2qiO6tl4bNQc1bNi7b4sCSpr1wXX5MToXUOEmezHlZuZadWQaW6NtcZwrkARAPYIiokzP1FDZetnv2R1bXd4fczPd+QeBM7jik687YEESsJKD119bbAsy7+6YG1BOWbih28y/b8v0PG+V/j398VuvZa7usXau+las8NW996mjWO4dOkyc98fTnT1qrw3ex2pG3aVSh52BGvXtTfXyFoFlDN2CNyPstmbhl0Ap1r068VeQfH++MdKPdqLsx4Te6ddO0t27jnmrf4GZHg64X4hkK7itICRZTkNMRRS4AAdHuzG9P++wLHjZzl9Jpfra0TZPslB3JX0qxUSAse62ZrbaN4k7705X/Lu60PUJFyt5GFHcOVn44wXxVk7vBGCKo+9N7Q2Z1sbvSMt+m1d0xqN69dRPS+OfAfOeK4cqQJyhcBTSsLDw0JECOkqQni4kfycXD5fkEh+Tq63TfFZHnlqKADx/d92yXp6Jka7EiUklJL6S6lra01w1nrNmr2mx2tNyfbFac/Wpnm7G2enkzuCsnEvW7/Z7ddy1ZRjW9cw3Wj1TkSO79SGnh1aqdU+WsxL+oZJs5czL+mbMu/pvY7WZ+DJ78Da9azdg7M2Do3vwmsj+vHa8H4iedcEMczRjfywej1L35oNQN9RQ7xsjW8yeNLTrJm/jIydfyLLstNTqu31ADj7q93UC2Kr8Z3Wa+bnmE+BVl5XntuaR+QqD4QjHiTwbqt/b4SgPJm86a4QhSuqj0wbsVWPuE7b2yCZPTqAln2erspx5HrO2hgdVZXJI7UnfwcyQsC4kXv6x5d6FJSlQoUK1Impx7GsTD7+5DuGD+3u1Hr2bmLOJo6abthaje/ssdfcFvM1zN83FxR678X8PK0eMVprWVrfV6qHvCGePFkR4q6N2hXVR6bnWRJBT/e/n/DQEKfs17LP/DvIzj1X4uWRSq7p6tCevd95eQwz+gpCwLiRiGpRwvOigymrPmR4+148NX6R0wLG3k3M2V/t9kyi1hIAlgSQHlvNvTfmvVYsCQtzO7R6xOj1IFm6L4Hr0do47dkc9eRuOLM5a3lEzK/prNjTs8ay9ZuZtvhqvkio5XwRTwkLV3jOypMIcuW9CAHjJvJzcvlh9Xru6R9PRDX3JaeWB2rF1KHKdRFcOJ/Pd5v30q1Lc5dfw9GQiC2UzfvHtN+sljPraeZmS3xZGwOg1SDPkrAwFyJaPWLsmUjtj9VDvuI1chZ7NkdXdnBV5w0VGlWxoKzhjUZypgyN70JBoREk654kTzWfc4XnzBdGQbgKV96LEDBuQuS/2MfkxFk812cYj42czfHD/1Nfd2ajMa/i0RsSsQfTAY13d7iNXj3vKDUrSUFLYDiLLe+N+Wumn4fp/VrrEePreS+Oove7d3cPFFMc+WVqz+boyhCUOm9oxLV5Q+6+pl6io6oyeZTtfBFnbdP7fbnC81Seuu+68l5cLmAkSYqhZKRALeAKsEiW5dlmx0jAbKAnUAgMlWV5l6tt8SaW8l/c7ZnxV8/Pra2bIQEnTuZx8lQOtWpWA5wTGY4k1VrC0kZuunk/N7ZOmUGNjlzLEfR4TBzJkfH1vBdH0ft9ePJXryO/TO3ZHN3R9M4Tm7e7cNY25fsqKDQSHhbi9mZ/vvo52osr78UdHpjLwLOyLO+SJOk6YKckSd/JsnzA5Jj7gYZX/2sLzL/66NeYi4e+o4aopdRx3TqR8d0WDIWFrJpV0rTNHZ4Zf/b8JIwbzqpZi3mw31vs2PI+4NzGbyup1h7Pgd7NX8lFKSgwkn32nN3N3NyJIx1xy2vei97vw5p3wdX4069sRzchV+TsuPo6jqJ8TwUGo0ea/QnK4vI+MLIsn1C8KbIsnwcOAubDKnoDiXIJ24BISZJucLUtnkYRDz+sXl/mtSWvz2TpW7ORkBj20li3VSbd0z/ereu7kwFjhwOwc89f6mv29Dox76li61x7esbo7W8SXb0q4eEhTH1ntUv6kbiyr43ez1K5114977DoZfFmvxdPoqc3iavQ2wvFn7GnH4qlYw8dPUb82Lc4dPSYrnO1eseYv+ZIjx3l+3q6//26hK6jvWA80f/HX3FrDowkSfWBlsB2s7fqAFkmz/+9+toJs/NHACMAatSp5TY7XYVW2Ej5c1y3Ttx+Z2vVO6N4ZpT3XRX28efKp6CgIBreWIs//jnJ3IWpjB7Z067z7fUK2HO8PR4UV4aLHPV0OBri0RM+At/wKLmTy8XF3jahXOKKnB09c5BslXWbv+ZMYqleb5SjHrbylMDratwmYCRJqgKsBcbJsmwuHbVaGcllXpDlRcAigIbNYsu87020ck3MxYP5MXUb1Fff+3rZaj6btQhjoYGQsFC/Dfu4mtfWrWBwq3sZO2mJ3QLGVDjo2cDdlZfiys3dURsdFT56wkfm+Hs+jBZffbvD6aaK/oB5WMPVYQ5LnX31YOlYe+cgWRuNYOlRL/Z8Xo6G3fwptOhp3DJKQJKkYErEy6eyLH+ucci/QIzJ87rAcXfY4i60wkWWjpk1YYo6TkDxvBgNBgBkZDXsE9etU5nRA/k5uaycsZBPZywIiJEEkdFRREdcx5UrMqs/T7frXNMQiZ628r7Yit8cUxvtCSf16nkHPe9rVWZGky1MQ0NK99+5C1OZ8tYqi9f1Rgt/dyPL0C3udm+boRtHwwzmYQ1XtOU3tcWe9fTegzIHqXF988yEa5heVys0Z/6ao+E7T4wxcGdo0d/DU+6oQpKAJcBBWZZnWDgsBRgtSdIqSpJ382VZPmHhWLdhrWLHVjWPni679/SP59dtO9mxKY0fVq+n76ghqqhp3qEtA8YN58GhCarnZuWMhapXZuCEkUCJCPps1iIAQsPCuKd/vGqX8r6/VRzZ4p3UT3myfS/GPL+E/n3bO7SGL/YmcdZTYY9XRZnRdHeH23hubNl/6PVUVSnXnPrOagDCw0PKTR8YXfjRpDhHwwzOeiK0PBCOdvadt/obpi1K5kxuPjWiIpzyAnnKa+Hv3hF/D0+5I4TUHhgM/CpJ0p6rr70E3Aggy/ICIJWSEuo/KSmjHlZ2GfdjrWLHVjWPabgoPyeXr5etRkZWBYlCw2ax3NKsiSo4YuNaEFEtir1p22nV6U712PycXA7u2AuUeGUU7ukfj7HQoHpqTO0CymXoqWZMHSoAp07ncSY7jxrRkXadb745Oysc9Jyv5xhnS5JtCQXTdWwda29VlbW1yns+jD+gbKDxndrY1bvGPKxh+lxPeGRe0jdMW5xMQaFR7b3icGffq//s7fn9KN9n7AMc31RdVapr6zPw9/JmfxdgLhcwsiynYWNclyzLMvC0q69tL9a8KObvWfLI5OfkMmvCFHZsSgNKvCRK+bTyepuuHdTjk+YsIT8nl7oN6pdae9aEKexJ206brh3o3LuHmuAbUS1K9cZYstkfK45sMWDiU6x8fz73xk9l788zdZ2jbOAFBUbVa/Dc2IecLvnVc75yTEGBkfDwEIuVO0CZZnda62vNJ7IlFMzXsSVMlEdbXYqnvDTA8ocj8AmUjdSVnW91/TrXGNDo6Kb+dML9hIeFEN+pDeu37PD4pmrLm+TPQsUS/i7AAroTr7WKHfP3LHlkfli9nh2b0mjeoS1N2jQrFdrZsSmNiGpRpUJIT7w6nqJLRdzctFGZNdp07cC4GVOsen/M7SpPnhdT+j89jJXvz2ff/kwuX75MxYq2/6oqG/jkF/qXKvF1NsSh53zlvYICo83KHfNmd1odcx969B1+P1xSJmreJdeSx8ae+zQVQ1rN9/y9z4u/42gyrSt/UetZy94Bjdbuy3QztZbf4sjaevCFSdcC+whoAWMPlrw1pq+bemZM81/adO2gJuje0z+e2DbN+WzWIv7af5jn5r5ZZo17+sdjKCzEWGggPye3VJjJ0ZwXf+vQGxQUxJ33d2XbN5v477OLWTT7KZvnmDeuU3A2xKHnfOWY7LPnVA+MHju11l+6YhO/Hz7GrY3qlJpPZPq+lrhw9D7N7Tn0xzE2btrDc2N6WxyNUB4rj3wJR3/5u7LBnJ617A05udOj4ezaeiZd24toXude/ChNzbsong/z8JGpKFAqjJRqoVuaNaHvyCHENLyJBa++y9K3ZvP1stVqrsvetO28N/pl4Jon5fMFJRtTaFgYn81apFY5KWEmW5VPyrHm1Ux6qqZ8jYmzXwfg42Xf6zreG1VFeprn2duMTqkE2rrhTTV8pPW+q5JmzW2e8NJSvt+8j/2HskhJ/UWzwqg8Vh75EkPju3i0C7BWNY2eBnC21jDHnfcV36kNPTu0Ir5TG4fOd0e1jyeqlAIZ4YGxgC2PhWmOi6GwkIsGI9s2/MiJo1kYCw0c2LGHvWkZRN9wPdknTgPQvENbZGT2pG2nZkwdTmUdY2/admZNmMK4GVP4fH4iny9MJOOHrYx+p0TY3NM/vtS1mndoS97ZHFbOWMgDQ/tr2qYVgtJTNeVrVA4JITK6GnnZOfwv8XseH3Jvqfd9wQtgT36McozpBOtPFowpY7u9U6ldjel06urVrgPKhqXKbeWRj+Dp3ARlgnOBwUh27jmio6rqagBnvobpoxbuvK/1W3aQmraLzq2bOhSCcgciBOVehICxgK0qpK+WJV0VFHFISHyxsOR/6ohqURgNBvamZQCo4gWgSZtmPDg0gUuGi6SnlngVasbUYcemNNbO/4RtG34EYP/2XWR8t0WtOjIWGtRQ1C3NmqizlELCQjVt0xIr/tqhd86GzxjS+j6emrCojIDxhTwNe/JjTB9/TPuN1A27WLpik8/lmJhPp9ayT1QeeQ8lLGGa7Oqs1yA6qirhYSFMmr2c8NAQJg7prasBnPkazoSvnL0fW2LBG+Ecf0+S9XWEgNEgPycXY6GBAeOGqx4Qc2+MdDXt/uamjQHo/FAPtn37I/k5uRzes58adWpx5thJAMKuC6dL3wfo3LsHP6xez5H9hziVdZwqEVW5UnwZgL/2H+bE0SxuqB9Du/u6lCqZHjBuuNro7rtVX9K0bSsatWhq0TZ/FStaRNWIpmJwMJcuFZGXd4HIyCrqe57wAtjy8tiTH2P6/JMFY9R1BQJ7ULwgP+3cr7bUd8UmaS4AtDZfPRuyvULBVfdjy7byVFEkcmtKEAJGg6+WJbFq1mIGjBtORLUoPl+QWMYb06n3ffyx7wASEp/NWkREtSguGo1UrFiR/dt3lVqvU/d7GPH0KH5O+Z7zh4/R4o5W/LX/d87n5nMh/xx1G9Rn0MRRBFcKJmHME+z68We+WpZE5949MBQWIiGpgubzhSUeh7h7Olq0rbyR8MyTfDpjPu27vcT+X+aor7vDC2AuWNzl5fGmB8MXQm8CxzHt+dK5dVOXhSdc5S2wVyi4+n4sbe7lKZxTnsSYMwgBY0Z+Ti6/7yhpoiQhlfHGKGR8t4Udm9IounSJFh3asidtOxUrVuTy5ctcFxXB+dx8mjRpwrTXX+eudu2oEBREm6caUyEoiMohlel5591MmTKFrOPHeHLyBJLmLGHHpjT+2LNfTb4NDQsjNCyMpW/N5o99B3ji1fGlmtpB6WGRpr1jyhMJY5/g0xnzOXDoX2RZduuMGnPB4oyXx5JQcERAuFJ0aImy7LPnmLswFYDRI3sKYePDOFtu7Aj2/OK3Vyi4+n4sbe7lKZxTnsSYMwgBY8YPq9erDeUeGNpfbeU/7KWxFsuka8bUVkNGN9SPYcKsaRT+fZpud3YiPCwMSZKQr1wBIKhiEEWXioiNjWXJkiW8/fbbrFv0KXvSthNUsSL5ObncUD+Gzg/1UMWJcp2GzWIJCQvVFClbvtygjhzwpCfGE+XZkiTR8cF72frV9zw86F0+/3SSQ+s4MuDRGU+JJe+NI14dV3qCtESZnpEB7kZ4htyDK8IN9vzid0QouDIkEgibe3kSY84gBIwZWj1ZoMTDsXLGQs4cP8ne9Ayq1azBk69N4GTmv/x75Kh6fkS1KKpfF0GHdk1I6N+fkJAQkpOTiY6OBuDypSLOnDlDv379MBqNrFufwtIvPmNP2naKL18moloUry2dVWpy9ROvjgfAaDDw2axF/LptJ+NmTAFQq5OUPBlPVxnZSnZ2BlNx9PxH09n6VWvWfZXh8Hp6RIAnJkk74tVxZb6P1j3qGRngbnwhKbs84opwg15RYK8QUY4vKDQybXFyGRs9kevhyoncIjfFs4g+MGaYJsB+viCR87n5GAoLWfDqu3w2axHfr07hzLGTHNr1K0lzlvDyxx9QM+aa2/P3XfuIyIew0FBCQkI4fPgw/fr1Iy8vj7CwMPLy8ujfvz+HDx8mJCSE4ApBjHzsCW5pFkv4dVVo0aktG1etY+mbs9UJ1Eq4KiQ0lDZdO6idfU07+D44NKGU3Z6aXK1M0naHcDLvXRNZoxqyLLN42UaH1nN1/xRbWOpLY2+/GmuhKHv6y9iydcpLAxg9sidLV2xyeE1nbPL09xMo2NN7xVKfF709Uuzte6KKKwlNGx3po+KoDa6YyC36vniWgPTA6Al7KJvnd0lfqh6Wpm1bctFwkdzT2UTXrknCmCfI+G4Lt7drzamskrbvN954I3e2bQuSRHJyMv369VNFzMqVKxk4cCCHDh2icePGrFmzhmrVqlGhQgUu5p6n4PwFflr3bSk7LhqMPPzUY8A179BXy5IwFhro1Ps+oMQ7pNzP18tW89msReSfzSWiepTbc2LcWfFknucz59uSkurREz9m+NDudq/nr6W/rgxFmePqpGVnzvfX78fXsSfc4I5utuaYeinMBz86sp6z51iaxG3vYExH7RU4TkAKGD1hD9Mcl+Yd4oht0wKAz2YtokWHtjRp05ydP/4fq2Yt5ob6Mep5d955J0EVK1J8+TLR0dGkrE+hb5++HDhwgBYtStaIjY0tCSvViEaSKlB8+TJt27YlKyuLW5rFUjk0hNNZxzhz/BR/7T9cRiQoib1KHxilEunXbTuJaXgTAEf2/672ovHX6iTz+46qEU2lkMpcMl6koMBAeHioF63zHK4KRWl5clyZtOyITQL3Ym9Iw9kNWI9YMhdJ1o53JNfD3nMsTeR2ZDCmyE3xLAEpYPR0pY2oFqUOVozr1omM77YQ160Tf+w7wI5NaexJ286j40YwYNxwzuXkcbmoiDPHThIVFYVUQaJCUBBXiou5odYNrFy5UhUvACtXrqR27dpcQSYkPAzDhQLqN7iZxq2aEXtHc75YuJw+IweT9cffJIx5gs8XJBLXrRMbV63jr/2HGTRxVKmwjanYuqVZE7VnjNIMrzzR7+mhfPrBQtp0fp6DOz70tjkewZJnwl6PhZZ3xJVJy644X0Ek9NqPtWnKP+3cz9Ipo22KGFdswLZEk794KfzFzkAmYASMedjIklfC/Lh7+sfz3uiX2JuWgaGwkHEzpvDVsiQuGS4iI3PRYCQ1MZmeQ/qReegIlSOqULFiRSpVqUzhhQJOnznDwIEDS11j4MCBrP18LTH163Gx0MBFgxGCgzi0ax8hYaEMGDecB4cmANeSdDes/JzjR7MAOHviFO+s/bhU4zpFbJmGjEwTgcsLA8aO4NMPFqqTmn0BZzdbT23WWt4RXw3biIRe+7E0TVlpELds/Wa3ixNLdpjiL14Kf7EzkAmYJF5LwwxNBx+aD0xUniuhmEuGi/ywej2de/fgr/2HWDVrMX/s2Q/A8b/+Yf/2XWz/eRvGQgOXLxWRk5PDAz17cuDAAWJjY9mzZw+xsbEcOHCA3r16c/zfa5vw7n17ad6hLXvTtiMh8cPq9Xy9bDU7NqVRt0F9VbxUDgnh3yNHy9yH1rDJ8kqXhx8E4N74Kd415CrODjZUzp+7MNVlSbnO4soEYUcItIRea0MS9aKVrBsdVZWlU0brSuLVY4N5kqrWOc4MbHTF5yAIHALGA2MpbGSaDwOoVT1K51vTHBgZWc012ZO2HYAb6sdQMTiY2jffyOWiIrZvTefXA/u5qX59esf34vDhwzRq1Ijk5GRiYmJY+/laevfqzeHDh+kd34vU7zbwxx9/8ENKKgPGDadVpzs5fewEn81axAOP9WfAuOFcMlzkjns78vf+w2qPmvIWGrKHCTOnsnntV2zass9lje2c8YIom2yvnnfw3ux1dq+hnF9QYHSr18Eer4a3PSC+6hlyF64odbbkMdDrSdATbjIPq2jZ7YznQnSYFdhDwAgYS2EjLWFj3gNGeZ6fk0toWBixcS3I+uMvTmUd5/jRf9i/fTd70rZTo04tABZ+soTn/jsWo9GoipeoqCik4CBi6tfji3XrePjhvhQUFlJYUIixVhgDxg3nosGIhMSfv/4OwJ+//s51kVXZsSmNR8eNoEmb5tzUtBEhoYGRvGqNqOujyT2dzfLPNjNkoPO/0l1RPfPe7HUOraGcn332HOHhIW7zOtiTYCuScT2LL+RbaIWbzENG5uLEXrt9PT9G9HHxLyRZlr1tgy4aNouVZ369wttmqGGlHZvSAOg7cgg/b9jMiashnuYd2nJz00bERNZkQO++XHfddUTXiOZK8RWCK1WiYnBFDAWFnD17lgsXLrDqy7XEPXp/qTUbt2rGoV371EfTKdRKH5hhL43VncdTHjn1z3Ge7BBPxYpBFOUkO72eK/JQROJp+eBo5mluun0U3ds145u5r3nbHI9ivoErlTjTxw522CNiuqbiYXFmPXfiivsVuJag1o/slGW5jdZ7AeOBcYb8nFy+WpakTqDesSmNFh3acnPTxlQKrcyEWdNY9nZJRczNTRupVUQvT32NUY8Pp0OHDgQFBVF06RIVgysSXKkSBw8eZMqUKTTpdAdnrua6NG3bisYtbuPAL3sAuLHhTYSEhXBjw5vp3LsHUJKHc0uzJlZDSPZ0x/VXsVPzxtpUCa3MBcNFft1/lNub1ndqPVeELAIt7FFeeXpiyUiON//7Hy9b4nmc9bAoaIkW8/Wc9XaYnn82/zwTZ37C++Mfc2qekqX7FZ4Z30QIGCsom7uhsJBVsxYD0LxDHI+OG0Gn3vex4NXpaoJv3D0dr4oGmRYd2iIhsXnD9+QWnKfDwV1063kf+9N20rp7RwqkIlZt+opK1avSbUBvfvqypHnd7e1aExoWxu+7SoZJnj52kr1pGexNyyCiehShYWGsmrW4zFwmc/SUiSu4cxSAu5kwfzrTho6j20NTOfnHUm+bI6B8eKGuFJfMLWsV28DLlngWrU3a0XwWS6LFdD1H+qxYuoYS+gJYP/slu9dSsHS/IjfHNxECxgrK5q70e/l9xz72pG2nVad2/PTlt6p4kZBK9WIBuKlpI1p0aEvtm2/k2InjvDbhRfambVdDP5VDQ9ibtp0Fr05n1OuTCA0LUwWHMnG6c+8e/PTlt+r6ClrCRG+ZuDn2iB1f446uHQE4dSqfixcvUblyJS9bJFByiX5M+41PFoxxegq3oARPeABcuUlbEi2WjnH2GvGdSiIM749/zKG17LmWLxKoHiIhYKyglcRr2rIfSnJe6jasz1NdHqZlpzvpM3KwmmS7J227Wq1UcmwcxkID+Tm5ajhqb1oGGd9toe+oIer6Dwztr3pY/jNhVCmbLAkTRz0p7hwF4AkeHJrAV8uSuDd+Kls3vultcwJ+kx42qCs/pv1G6oZdLF2xyeWjDwIVV4oLS5udKzZp07XdMbXa0jWio6o65Xmxha/3hAlUD5EQMCaYezGUSiRzz0Z+Ti4yMo+OG8EDQ/vzdNd+nM/NZ8uXG2jTtQNPvDqeLV9uoM/IwUhIyMiqqPls1iL1en1GDqZyaIgqlJwJ5/izJ8UZRk57nq+WJZG27SBFRZcJDvbuX2lf3KQ9Kaqiq1flkwVj1OuZIiqbHMeVHgDzzc4e0WHv2q4mO/ccw6bMVcNFgbRZW8PXPUTuImAa2elBq9mdpddWzVpMSFgoEdWiGD9rKuFVryMsPJwdm9JY8vpMPpu1iMqhIVQODQHAaDBgNBh4dNwIZGQ+m7WIkNBQQsPC1HVNJzubNthT0HpNIZAa2ZnTpE1zAFatSfOyJb7ZgM1aoz13NKxz1RRuwTX0ToPWg3mjOVdOUHamiZ0elq3fTGraLnp2aGXXNcp7gzxX/v3wJ4QHxgQtL0Zct078um0ncd06WTyu9d3tadKmudo194lXx3P7na0xFhpKeVwANcTUZ+RgDuzYo+bRKJ4eZbK0cu6v23YybsYUIqpF+XXCrTsZM2MyT3Xqy+NPz2Xwo3d71RZfrESy5vnwRY+RwL24qtJIz9rOoBXqsjW92hKBGmIp7wgBY4JWPkjGd1vYsSmN2+9src4W0jruiVfHq491G9SnboP6qqckPyeXX37YypljJ/ljz35+277r6tiADGrG1Cb/bC5fL1utChalTLt5hzh2bErjh9Xr6TtqSMCGiWxRt349qoSFc6GwgH2/HaXZbfW9bZJPYU1UibCOwFfzO9yVVCwoPwgBY4JWTxRFLMR168TnCxI1+6X8e+QoS16fqYoXU0LCSnJfzhw7CUDDFk25456O5J3NYW/adk5lHefzhYn0GTlYnSINqN13W3Vqp9rg7wm37mTiwulMGTyazve/Qm6W9xse+gu+6DESCEBbdDgqanxVpAmcQwgYE7RCNIpo+HxBosXwzZLXZ6rl05OXXZur9NWyJFbNWkyfkYPV3JcHhyaoFU3KbCOAyqEh6rrmk6WV3Bd/azbnSVp3bgdAXn4h+fkXiIio4mWLBAKBM2iJDl/1pARqGbO3EQLGBGshmnv6x2MsNGAoLCQ/J7eUkHji1fEUXSoipuFNpd5TSqVDQkMZOGFkqfUiqkUxce6baoffB4b2L/WeqUgSuS/6ePipIaydn8h9fV5n26bp3jZHIBC4GF/1pIgcG+8gBIwJ1kI0EdWiCAkLZelbswkNCyt1XN0G9Ylt01ytLFLESqu727F1/UZa3d3O4prmfV60ELkv+njshTGsnZ/I9h1/YDReJCSksrdNElwl0PvjCCxTHrwXvuoZKu+IMmozrJUqm5Y5mx8rUzIU88COPeq5SXOW8O+Ro8x+dqrucmgtArlE2h4kSaJZ+zsAWL7qJy9bIzDFWim3v+JvpbnesFe55qGjxyxee17SN0yavZx5Sd94zC5XE6hlzN5GCBgztPq+KJgKCWUqtXLsg0MTaNO1A3vTMtRzlaTef48ctdlbRuAannrzRQD+O36RjSMFnsQX++M4i7X+Kb4oblzZ78Xea06c+Ynla0tmjwKBTkQIyQy94ZofVq9nx6Y0mndoS97ZHL5etlrt/2JasfTO2o/VhFx7ryGwn7o31yM8/DoKCs6zZ+9ftGh+s7dNKpfYGxIqj9VO1sIGnmj9b+8x3ghzKNeK79SGzq2bal776f73Ex4aIsIvAruRZFn2tg26uLFRA3nCnNc9ft2cU2dYMnUGxcWXS71+pbgYQ4EB+coVCs5dAKBKZFXCq1ah4NwFLuSdU5+7GvmKTPaJU8hXp+b6Er70t6lixYoUnlrp9fEC5ZH3Zq/j+VcTeff1IeVOmNzfdxrffr+H4p1rHF7DlXkdytTm6WMHWxRDeo7xJ8pDXoy9BOI96yGo9SM7ZVluo/We3/zLnvXHX4y//z/eNsMqF/LOcSHvnMXngYAkSQQHB3vbDAAuXbpEl16zSfvmWW+bUu4QDfCs48pqGT2eE39IIrVngw7Eqp5AvGdncbmAkSTpf8CDwGlZlm/TeP9u4Evg76svfS7L8jRb69avX59XXnnFhZbqQ5IkmjZtSsWKzn1UiYmJzJkzhzFjxjBkiCiF9gRLlixh/vz5jHimNos+fNTb5pQrymNIyFfRI4a8WV6sV5jYs0H7gyBzNYF4z87iDg/MMmAukGjlmK2yLD9oz6KhoaG0aNHCCbO8S69evUo9KuTl5ZGSkkKvXr2IjIz0gmXllyeeeILc3FwWf7KKTu1vYNCAu71tkkBQ7tArTOzZoN09U8kX8dUeN76My6uQZFneAuS4el1/JC8vj8TERPLy8gAwGAwkJSWpzwFSUlKYM2cOKSkp3jGynDNx4kSaN2/O4BFz+Pb7Xd42RyAod+idQO2tUmNvVF8JPIO3cmDaSZK0FzgOTJRleb+X7HAZWp4URZwoLF68GCjxJvXq1YuUlBQ6d+4MlPbMCK+Ma/n44495+OGHub/vG+z46V1at7zF2yYJBDYRngPXIEIz5RdvCJhdQD1Zli9IktQTWAc01DpQkqQRwAiAWrVqecxAW5gLjLy8PCZPnkx6ejqAmuNiHjYyGAzqc1NxY54TY+09gf1IksTq1avp3r07d97zEjmZn3DddaHeNksgsIpI6nQNvi6wBI7jcQEjy/I5kz+nSpL0kSRJ0bIsZ2scuwhYBBAbG+szFbqKwDAYDISGhmIwGEhPT6d9+/alPCmRkZGlBMjIkSNV8aPleVGwlC+jIDw09lOxYkVWrlzJQw89RK2Gw8nJXErlyr5RLSUQaCE8BwKBdTzeiVeSpFqSJElX/xx31YaznrTBPDfFXnr16sWYMWMAVE/JmDFjmDp1qqagML2eIn5++uknevXqRVJSEgsXLixliyJ8LIkTkTfjGLVq1WLVqlUYjUZiYkdTXFzsbZMEPsj3P/7qbRMA0Z5eILCFO8qoPwPuBqIlSfoXmAwEA8iyvAB4BHhKkqTLgAEYIHu4m56zIRpFYOTl5an5LEooKTExkV69epGVlcWUKVOYMmUKu3fvVq/XuXNndu7cSefOnUlKSlLzYqDEQ6MHWx4agWXq16/Pxx9/zOOPP07PvrPY8KXoESMozeXLxdxzx+3eNsPr+EsOjiBwcbmAkWXZasMNWZbnUlJm7TVcJQAiIyPVfBbzvJYvv/ySzMxMpkyZwpIlSzAYDBgMBr799ls1V6Z27dpl1szLyyMpKQmAhIQETS+M+XVFGMk+mjVrxoQJE5gxYwbDnqrE0vnPeNskgY9RpUqIt03wOiIHR+DrBOQwR1shGtAOM2m99sknnzBnzhw++eQTevXqxfDhwzEYDAwaNIiQkBBGjhxJZGQkoaGhqrelZcuWpKens3XrVgBiYmLo0aMHUOIdWrx4MYsXLy4TItIKRU2ePNnhUFggM3DgQIYNG8ayTzfz/CvWWhYFLtlnz/He7HVknw2sbtKCEvSWRwsE3sJvRgm4G/PEWEUg7Ny5U81t0Qo9HTp0SH1UhMqcOXOoV68eRqORdevWcfLkSTp37qxWIV1NAeLkyZPUrVuXrKws1q1bR1RUlHqc0WjEYDCQmZmp5suYXr9z5858+eWXpKenk5KSIqqVHODpp5/m+PHjvDdnHe3bNab3A229bZJPsXTFJp5/tUTcia67gYeo3hH4OkLAXMW8sqhz585s27aN9PR0kpKSGDlypGboadKkScyYMYMJEyYA13JcHnjgAebPn4/RaCzTC6Zfv37IsowkSdxyyy2sXr2aQ4cOkZGRwc6dO9XwRnp6OgcOHCA9PV19Xbl+SkoKmZmZauWTqExyjGnTpnH06FEeenS66BFjhph3JBB5MAJfRgiYq5j2alEER/PmzcnIyFCPMS+LzszMVMVLREQEiYmJ5Obmkp6eTlFREVlZWWRlZREREUHLli3ZtGkTAEeOHKFNmzYsXrwYWZZp1aoV9erVAyA9PZ1//vmHrKws4uLiVNGSnp5O69aty/SY6dy5MykpKRgMBjVEJbwx+gkKCmLZsmU8/PDDtOn8PEf2fsTNN/lOzyFvIuYdCUQejH8SKMJTCJiraFUWAaX+bI7iJSkqKiI4OJj09HRuuOEGoEQItWzZkt27d5Ofn8+UKVOIi4sDYNeuXciyTExMDLt371ZfGzx4MKdOnSIzMxMoEVARERHExsYSGxtbxtMyZMgQdUjk8OHDGTNmjKhMcoDg4GBWr15Nt27duL3dRDJ/m0d0dIS3zRIIvI61XjSBskn6I4EiPIWAMcPcy2L6Z/MwjeIdqV27NsnJycTExJCVlQXAr7/+yuDBg7ntttvYtGkTmZmZhIeHA1CzZk1VuMTFxdG4cWOgJI8mMzOTuLg4mjdvTkJCgprUO2bMGCIjI1XBothmGtYSoSPHCQkJYfny5QwYMIDGbZ7l34PzCA2t7G2z/ILss+dYumITwwZ1Jbq62MjKE9byYPRskkLkeIdAaYIoBIwdmCfx1qtXj9mzZ7Nw4UIA7r77bn777TdVnISEhJCQkMDZs2dp164dN998M7GxsRQWFlK9enX2799P48aNeeihh5gxYwYZGRm0b99eTRrOy8vDYDAwePBgDAYDeXl5ZfJwzAWXwHHq16/PokWLeOKJJ2h+1wsc2jVDTbgWWEYk+wYmejbJQPEE+BqBkoAtBIwVzD0ulvrHJCQkYDQa2b9/v9rdNS4ujscff5zKlSuruSkVK1ZEkiSqVKnC77//zn/+8x+WL1+uJvDGxcVx8803k5SUVMr70r59e9LT0wkNDWXIkCFWvUIC52jWrBnTp0/n+eef58FHZvP12nHeNsnnEcm+gYmeTTJQPAEC7yAEjBW0yqYNBoMqMEwFw48//qiGj1q2bEnHjh2pWrXEZVqhQgWuXLnC5cuXqVSpEgBVqlQhMTGRadOmUVRUREREBOfPn2f58pJfK0ajUV2rTp06DB8+XDO/RQx+dD1du3Zl7NixzJ49m2GjqrN0wWBvm+TTiGRfgSUCxRMg8A5CwFxFy5Nh7nFRPCJwLbk3KSmJvXv3quKldu3a3HzzzTz88MPcf//9hISEkJycTHR0NBUqVODSpUucPn2aPn36cPHiRVJSUhg+fDj5+fnk5+dTt25d/v3331KhqN27d6s5MFC6+knLK2R6L4rdwkNjH0pC9bKVq7itSSOeHSt6xAgEAoEvIQTMVbQ8Geb5Jb169SI3N5dDhw6VmWXUsmVLgoODycjI4LnnniMsLIyQkBAOHz5Mv379+OKLL4iJieHMmTP06dOHw4cP06hRIypWrMizzz7L8OHDufvuu6lcuTKZmZnUr1+f3bt306pVK5o2bUpubi4LFy4kISGB6dOnk5GRQVFREW+99Vap+8jLy2Py5MnquAJAeGgcZOLEiRw8eJCJr06nQYNJPPSge0SMSIIVCAQC+xEC5iqmngxLeSWRkZFERUWRkZHBjBkzuPnmm9X3brvtNkJCQujSpQstWrSgqKiINWvW8Mgjj6gi5rPPPuPRRx9VxUtycjKRkZF06NCBp556qlQPmqKiIoYPH67mwpg2wysqKgKgcePGZToGp6SkkJ6erja4M78/gX18/PHH9O/fn77/eZejv83nxpjrXX4NkQQrEAgE9iMEzFVMvS1KqbJpV96ffvqJzp07k5ubS506dUhPT6d27drExcVRr1499u/fz65du1iwYAGSJFFcXEz16tVJSUmhb9++HDhwgObNmwMQGxtLcnIyNWrUICgoiOLiYvr06cOFCxfYtm0bGRkZ7N69mzZt2qjJw8oYAigJKdWtWxe41vlXGSmgPJ8wYYIqvoTnxXEkSSIxMZFu3brRqNVYjh9aRLVq17n0GiIJViAQCOxHCBgNFBFgNBpZvHixKhCUR4XMzEwyMjI4fPiwOlBRSdINDg5GkiRq1qzJypUradGihXreypUriYmJQZIkCgoKKC4uJjMzk+rVq9O4cWOOHTvGsWPH1OMjIyMZOXIkUBIiUsYLLF++nL/++osJEybQunVrdcSAeddegXOEhoby1Vdf0a1bN+rfPpoThxcSHu66acUiCVYgEAjsRwgYDX766SfS09OJjY1lzJgxdO7cmdatW9OyZUvOnz/P6dOn6dixIwMGDGDChAlkZmZStWpVzp07R15eHhcuXFCriE6ePMnAgQNLrT9w4EA1fAQlv/Jr1KjBCy+8oI4uaN++PXfddRdjx45lwoQJ6qiByMhIpk6dqiYPWxoxIEJGriUyMpL169fz4IMP0rrTyxzc8b7oESMQCARepIK3DfBFevXqxZgxY0hISFAb1vXq1Yv58+ezb98+Tp48yXfffce5c+eIi4ujdu3aakhnyZIlqnjJzs6md+/eHDhwgNjYWPbs2UNsbCwHDhygT58+ZGdnAyDLMnPnzlXFS2xsLJmZmcycOZP09HSmT5/OwoULWbhwoerpCQ0NZdKkSQwfPlxtcgfXQmGi4sj11KpVi/fee49Df/zN3fe/421zBAKBIKARHhgNtLrbpqSkqAKjcuXK5OXlMX78eFU4HD9+nMjISPbv3096ejqNGzemX79+pRJ2a9euzZo1a3jooYfUxN61a9dy/vx5goKCaNWqFQ0aNGDjxo3k5+dz5coV4uLiKCoqUqudFDFkWs49Z84ctcmdwL106dKFSZMmMX36dHomLCY1abi3TRIIBIKARAgYC2h14TUYDBiNRoxGI9u2bVMnTXfu3JmaNWty1113MX78eCZPnqx6YkyrjQoLC4mIiCA5OZl+/fqpa3377bckJycDJd6Y/Px8qlSpwpUrV6hXrx7JycnqIEgltKV4Xnr06AFo94FRko9FDxjX0q9fP7Kzs1myZAnzP47hqSd7eNskgUAgCDgCMoSUl5dHYmKi6j3RQilPTklJAa4l0kZFRZGcnMzdd99NZGQk+fn57Nq1C4CYmBiWLFlCfn4+b7/9NmvWrGHNmjVqEzuF6Oho1q5dy9q1a5k2bRp79+4lKCgIgFOnTjF48GAqVKjAyZMnSU9PZ8yYMbz11lu89dZbamgrNDSUxYsX89NPP5UJGSm2z5gxo9Q9CFzHU089xV133cV/Jyxi9dp02ycIBAKBwKUEpAdGT/t9S8mwiidm79695OXlERkZyb///quGdIxGI7Vq1SIzM5PHHnuM6dOnU6dOHQCKi4uRZZnLly9TUFCALMvcdNNNfP755xQXF1OhQgWOHz/OX3/9xblz54ASsaN4UEwFl7VkXeU1JflYJPS6hzlz5jBo0CAShn1AjRoRdOl0m7dNEggEgoAhIAWMrUod01b95qGXyMhIQkND1cnRTz75JHPmzKG4uJgdO3ao7f9r167N8ePH6dWrF+3ataNOnTpUr14dSZIICQnhwQcfBEpmK7Vq1Yrz58+Tn5+vDnSsXbs227ZtY9++faSkpDBkyJAywsuS+DLN4RF5Me4lMTGRnj170q33VE7+sYToaNFJ158pKDDYPkggEPgEASlgtJJ0TTFt1f/RRx+Ved9UAKWkpKiiBaBmzZqcOnWKiIgI2rdvT2ZmJiNGjGDTpk2sWLGCgoICmjVrxqBBg1i4cKHquenVqxdnz57l5ptvZvny5bRv356srCy1o25eXh4Gg8HiUEeBd6hQoQKffvopvXr1os6tI8j95xPCwip72yyBgwwYNhOAxx4Q05MFAl8nIAWMLRo3bkxGRgaNGzfWfN9UAJkm94aEhGA0Glm+fDkHDx6kW7duTJo0iby8PP766y8KCgqAkvLqvLw89u7dq665c+dOjh07po4QuOuuuwBUL5AidoYPHy4Scn2M6tWrk5ycTJ8+fbih0Uiy//6Y4GDxv5Y/cv58IQC9u8R52RKBM2TnnmPZ+s0Mje9CdJTwipZXxL+yGjz22GNERUXp8nSYdsmFkgRhRcgo/VmU7rgNGzYkKyuL0aNHq2XZVapU4cKFC7Ru3Zr69euTnp5OcHAwgOio60fUrl2bTz/9lAEDBtDxvjf5+YfXRKM7gcBLLFu/mUmzlwMwcUhvt1xDiCTvE5BVSLZwthlcaGgoISEhLF68mMmTJ9OyZUvat29PaGgoRqOR+fPn07lzZ9q3b8+FCxeAktDT1KlTiYuLIz09HaPRWKpJXUJCglqBJPBNbrnlFl599VW279hLr4QPvW2OQBCwDI3vwvSxgxka775QoCKSlq3f7LZr2EN27jneT/yS7Nxz3jbFY5Q7AaOnRNrZ46yda5po2759e9LT05kyZQrp6elqqXRWVhYzZszgySefpGXLlrRq1YoePXoQGRmpDnwMCQlRS6VTUlLUXjQpKSk2bRZ4j969ezN69Gi++vZHRo5d4G1zBIKAJDqqKhOH9HarZ8QTIskefE1QeYJyF0IyFRDKhq/VyM1SKXVeXh5JSUkAJCQkaB5nrQzbvMJp8uTJpKen0759eyZMmMC3336rzjAC1ATgb7/9lpEjR6o9XkzDV8qf9ZR/C7zP0KFDOXbsGIuWfkHb1rfw+JB7vW2SQCBwMYpI8hUUIeUrgsoTlDsBY14hpFdoKKSkpJRq0691nN6BicrgRUVEKWtOmjSJn376ic6dO1NYWMju3bvV+UnmFVKmfxaDGv2HF198kaNHj/LE6I+oF3M993Rp5m2TBAJBOcbXBJUnKHcCxrxCyPTR0nGmKFVFyp9tlVybkpeXp3pcoER85Ofns3PnTrWt/5w5c9i2bRvNmzcnIiKCNm3asHv3bkJCQuy6N4FvU6FCBebPn8/AgQO5t/cUDu6Yw62N6nrbLIFAICg3lDsBY4ojG75WVZF5GErx7OzcuZOpU6eWel0JFymiacaMGaqgmTp1Ktu2bSMjI4OMjAxCQ0M1Q0aC8kHFihVZsWIF3bt3p/ldEzmydy5160R72yyBQCAoF5S7JF5XYz4TCUo8M0qCrvnrY8aMKSVqJkyYoOa/REZGqr1lWrZsWcrDo4wK0JNYLPAfKlWqRFJSEpIk0eyuSRQXF3vbJIHAKoFYzSLwT4SAsYEiSpRuuImJiUCJN0V5XUGr/LpevXrMnj2bevXqlVr3tttus5hYLIYvli9q1qzJggULyM3NpUncS8iy7G2TBAKLBGI1i8A/KdchJFdgGoZKTEzUNYvIHNMwlJLropXzIpJ0yy+33347c+bMYcyYMXTu8TY/ffuiaHQn8EkCsZpF4J8IAWMHWgJDK0fGHNNqKCXnpXPnziQmJpY6TyTplm/uuusuJk+ezNSpUxn97BrmzejnbZMEgjIEYjWLwD8RAsYOtASGnt4spsJHWcPcmyMIDOLj49mxYwcfffwZMbVv4IWJHbxtkkAgEPglQsA4iZ6wj5bwEeGiwGXq1Knk5OTw4rQZ1K1bzKABnb1tkkAgEPgdIonXSRyZm6Qn7CQo33z44YfExsYyeMRsDhzM8rY5AoFA4He4XMBIkvQ/SZJOS5L0m4X3JUmS5kiS9KckSfskSWrlaht8HVFtJABYsmQJVatWpdldEzh+4qy3zREIBAK/wh0emGVADyvv3w80vPrfCGC+G2zwaUxLswWBS3BwMCkpKVSoUIFbWowhP7/A2yYJBAKB3+ByASPL8hYgx8ohvYFEuYRtQKQkSTe42g5fxpGwk6B8UqVKFb7++msMBgPN2k3iypUr3jZJIBAI/AJv5MDUAUyD/v9efU0gCEiqVavGvHnz+Off47Tu+KpodCcQCAQ68IaA0erepfkvtiRJIyRJ2iFJ0o7c3Fw3myUQeI+2bdvyxhtvsOfXg3R6YKa3zREIBAKfxxsC5l8gxuR5XeC41oGyLC+SZbmNLMttoqKiPGKcQOAtevTowbhx40hLS+PdmV942xyBQCDwabwhYFKAIVerke4E8mVZPuEFO9yKGMwocIRBgwbRrVs3Jk1ezv+W/+BtcwQCgcBncXkjO0mSPgPuBqIlSfoXmAwEA8iyvABIBXoCfwKFwDBX2+AL6OnQKxBo8fbbb5Obm8sTT88juvp19OoZ522TAoZDf2g6gwUCgQ/icgEjy/KjNt6XgaddfV1fQ3TaFTjD/Pnz6dOnD30Gvstf+z6i3o3Xe9ukgODk6Tzq1qztbTMEAoEORCdeNyFKpQXOIEkSiYmJhIaGckuL0eTlXfC2SQFDx5Y3e9sEgUCgAyFgBAIfpWrVqqxZswZJkrih0QgMhoveNkkgEAh8BiFgBAIfpkaNGiQlJWE0Grn9rle4fLnY2yYJBAKBTyAEjEDg49x444288847HDlyhJ4Pix4xAoFAAELACAR+wb333suoUaP4bvP/MfHlZd42RyAQCLyOy6uQBAKBe3jyySc5c+YMH3y4llo1o5g4pre3TRIIBAKvITwwAoEf8cILL9CxY0eee+UTtqTv97Y5AoFA4DUkfxkcJ0nSGSDTg5eMBrI9eD2Bc4jvy/8Q35n/Ib4z/8Pfv7N6sizX0HrDbwSMp5EkaYcsy228bYdAH+L78j/Ed+Z/iO/M/yjP35kIIQkEAoFAIPA7hIARCAQCgUDgdwgBY5lF3jZAYBfi+/I/xHfmf4jvzP8ot9+ZyIERCAQCgUDgdwgPjEAgEAgEAr9DCBiBQCAQCAR+hxAwFpAk6XVJkvZJkrRHkqSNkiTV9rZNAutIkvSeJEm/X/3evpAkKdLbNgmsI0lSP0mS9kuSdEWSpHJZ6lkekCSphyRJhyRJ+lOSpBe8bY/ANpIk/U+SpNOSJP3mbVvchRAwlnlPluVmsiy3AL4CXvOyPQLbfAfcJstyM+Aw8KKX7RHY5jegL7DF24YItJEkKQiYB9wPxAKPSpIU612rBDpYBvTwthHuRAgYC8iyfM7kaTggsp19HFmWN8qyfPnq021AXW/aI7CNLMsHZVk+5G07BFaJA/6UZfkvWZYvAasAMYjLx5FleQuQ42073IkY5mgFSZLeBIYA+UAXL5sjsI/HgSRvGyEQlAPqAFkmz/8F2nrJFoFAJaAFjCRJ3wO1NN56WZblL2VZfhl4WZKkF4HRwGSPGigog63v7OoxLwOXgU89aZtAGz3fmcCnkTReEx5pgdcJaAEjy/K9Og9dCXyNEDBex9Z3JknSY8CDwD2yaHLkE9jx/5nAN/kXiDF5Xhc47iVbBAIVkQNjAUmSGpo87QX87i1bBPqQJKkHMAnoJctyobftEQjKCb8ADSVJukmSpErAACDFyzYJBKITryUkSVoLNAauAJnAKFmWj3nXKoE1JEn6E6gMnL360jZZlkd50SSBDSRJ6gN8CNQA8oA9sizf51WjBGWQJKknMAsIAv4ny/Kb3rVIYAtJkj4D7gaigVPAZFmWl3jVKBcjBIxAIBAIBAK/Q4SQBAKBQCAQ+B1CwAgEAoFAIPA7hIARCAQCgUDgdwgBIxAIBAKBwO8QAkYgEAgEAoHfIQSMQCAQCAQCv0MIGIFA4DNIktRPkqSLkiTVM3lttiRJRyRJqulN2wQCgW8h+sAIBAKfQZIkiZLOr7tlWR4uSdJE4HmgvSzLf3jXOoFA4EsE9CwkgUDgW8iyLEuS9BLwtSRJR4CXga6KeJEkKQXoCPwgy/IjXjRVIBB4GeGBEQgEPockSf8HxAHxsix/Y/J6F6AK8JgQMAJBYCNyYAQCgU8hSVJXoDkgUTLDRUWW5c3AeW/YJRAIfAshYAQCgc8gSVJz4HPgGWAd8LZXDRIIBD6LyIERCAQ+wdXKo1RghizL/5MkKQPYJ0nS3bIs/+hd6wQCga8hPDACgcDrSJJUDfgW+EqW5WkAsiz/BiQjvDACgUAD4YERCAReR5blHKCJxusJXjBHIBD4AaIKSSAQ+A2SJH1PSYJvOJAD9JNl+WfvWiUQCLyBEDACgUAgEAj8DpEDIxAIBAKBwO8QAkYgEAgEAoHfIQSMQCAQCAQCv0MIGIFAIBAIBH6HEDACgUAgEAj8DiFgBAKBQCAQ+B1CwAgEAoFAIPA7hIARCAQCgUDgdwgBIxAIBAKBwO/4fzTNXKLXI5JbAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–3\n", "\n", "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(\"$x_1$\")\n", " else:\n", " plt.tick_params(labelbottom=False)\n", " if show_ylabels:\n", " plt.ylabel(\"$x_2$\", rotation=0)\n", " else:\n", " plt.tick_params(labelleft=False)\n", "\n", "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 to measure the distance of each instance to all 5 centroids. This is what the `transform()` method does:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[2.81, 0.33, 2.9 , 1.49, 2.89],\n", " [5.81, 2.8 , 5.85, 4.48, 5.84],\n", " [1.21, 3.29, 0.29, 1.69, 1.71],\n", " [0.73, 3.22, 0.36, 1.55, 1.22]])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans.transform(X_new).round(2)" ] }, { "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": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[2.81, 0.33, 2.9 , 1.49, 2.89],\n", " [5.81, 2.8 , 5.85, 4.48, 5.84],\n", " [1.21, 3.29, 0.29, 1.69, 1.71],\n", " [0.73, 3.22, 0.36, 1.55, 1.22]])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# extra code\n", "np.linalg.norm(np.tile(X_new, (1, k)).reshape(-1, k, 2)\n", " - kmeans.cluster_centers_, axis=2).round(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: e.g., $k$ 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 uses an optimized initialization technique by default. To get the original K-Means algorithm (for educational purposes only), you must set `init=\"random\"` and `n_init=1`. More on this later in this chapter." ] }, { "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": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–4\n", "\n", "kmeans_iter1 = KMeans(n_clusters=5, init=\"random\", n_init=1, max_iter=1,\n", " random_state=5)\n", "kmeans_iter2 = KMeans(n_clusters=5, init=\"random\", n_init=1, max_iter=2,\n", " random_state=5)\n", "kmeans_iter3 = KMeans(n_clusters=5, init=\"random\", n_init=1, max_iter=3,\n", " random_state=5)\n", "kmeans_iter1.fit(X)\n", "kmeans_iter2.fit(X)\n", "kmeans_iter3.fit(X)\n", "\n", "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(\"$x_2$\", rotation=0)\n", "plt.tick_params(labelbottom=False)\n", "plt.title(\"Update the centroids (initially randomly)\")\n", "\n", "plt.subplot(322)\n", "plot_decision_boundaries(kmeans_iter1, X, show_xlabels=False,\n", " show_ylabels=False)\n", "plt.title(\"Label the instances\")\n", "\n", "plt.subplot(323)\n", "plot_decision_boundaries(kmeans_iter1, X, show_centroids=False,\n", " 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,\n", " 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": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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1XamCMSubGt1H4lnBk1Nr9xPo76h1q+tRs0sYAN/+uYZy5Yrcv+KuRe96bahQoRx7d3xW0ltxowzAWgwtMwTYjZLB50vm0azxfXc1+QWoUKE8Hh4Cm7ep27e74YYbJQlRFAl9cgI6g56jsbtLJfnVGfRk6m7QILyxm/y64UYpgZsAu2ERS9f+SlpmOhu+cqSJzp2LwEqBpGWmlfQ23HDDDQXaPDuNC1cvsWPRGmpWLXIjMpfg6bFDAJi0aE4J78QNN9yQ4C6Cc8Mi3p/3GfVq1qF1uFtrBfBkl5aIIty6daukt+KGG24APV7+goPHD7Ny9mJah7co6e1oQhRF4g/sxsfLm5DqVUt6O2644UY+3ATYDU0cP/0v5y5f4MOXnyrprZQavBTVA4DZX68p4Z2UbSSnZPLZnFUkp7ibYblReLz6ybds3r2DuZNm8ehDXUt6Oxbx2+Y1iMCzb7xc0lu5I+DuXeCOoc6CmwC7oYlXPpqIr7cPA3t2LOmtlBq0bGLKhP+wZFsJ76RsY+FPW5n43mIW/rS1pLfiRhnFBwt+4esV63ntuVcY9ERUSW/HKka9Px6A3i8MLOGdlH3k5eUBUKt6cAnvpGThjqHOgVsD7EYB3NTr+OvQ3wwcPKKkt1Lq4OXpxanTV0t6G2UawwZ1NXt0JpJTMln401aGDepKSGV/p8/vRskjZtOfTJ67jGcej2Lqy2+W9HasQm/QozcaaNKmOYJQumzZyjKeeKxNSW+hROGOoc6BOwNsJ5LTU5n94zckp6eW9FZcjve+/BCAhS+X3tuKJYV6NWqjN2SV9DbKNEIq+zNsUFcW/rTV6bfw3JmR0onktExmLF5NclrR/r937ktiwJsz6djqQeZPnuWk3bkOvf4vGoDX53xYwjtx406CO4Y6B24CbCd+ilvOu198yE9xy0t6Ky6FKIosjl1OxIOdqFDBfYNAjSe7NAXg0OHTDp/r1m3dhquC7LBBXfn0/SEuyYy4UXgsitvGG3N+ZFFc4eVD/5w6R5cRkwi/J5S136xw4u5ch71HDuDr40XVOqXTnaKsITM1HQCDIbtkN1IK4I6hRYeb4diJQZHRZo93Kpau/ZWs7CyWve3Wq2lh6qgBfLJoFUt/iad50wYOnSsFLIDXx/R1we6cD1fdDnPVLbyQyv5l5r29mzA0sovZo6M4fyWZts++QdXgEHb/vKlMyAm+W2n6rA+d/FoJ7+TOweaYOACOHr9QwjuxH+4YWnrhzgDbiZDAYMYOfomQwDtbfD/564+pW6M29e7glqlFQfny5RCAJct3OnxuWbyydlWWQQqyd7rGTMLdnv0PCfJnwpA+hAQ5/v+dlnGT+54ej2cFTw7+8gceHmXja+uNWdMAeOyZfiW8kzsHj0RFAhAWWruEd2I/3DHUOXBFDC0bkcSNYsGRk8e4fP0KcyY86zTN3p0GQRDw8vHi0hXHteDKK+uyQobKImkvjbibdHXORF5eHmH9XiMnN5eDv+zEv2LZ6Eh5PS0ZY5aRKrWqk5Hqbp7jLPgHB8o/u2Po3QVXxFA3AVbA3kK3O7Ugbswnb1LR14/Izm2cotm7U9GhWSh5eWKhG2KUJTJ0t2UZXIW75UvQ3gtne8aJosj9UW9zPS2F3Us2UT2kmrO36zL0ffVZAK5fvMKWFXElvJs7D0ePX3DH0LsMroihTtcAC4LgDewEvPLn/0UUxcmqMQIwB+gF6IGhoijud/Ze7EVyeio/xS1HZ9Az/VtTZfHYwS9ZHC8VxNkaV5ZwU69j96G9TBjSB0EQiqzZu5MxcUgfNu9JZNvOf3ikS3OHz3elhY0bpRN3sq4uOS2TRXHbGBrZRb5wBpgwpI/Fc+wZ1/GFTzl+5iSbFvxG4/plqxvloRNH8PPzo/+YF+nWP7Kkt3PHISy0Nn2eiHDH0LsIroihriiCywK6iqJ4UxCECkC8IAjrRFHcrRjzGNAo/98DwDf5jyUCidC+9eI4Pnj1HZuFbuqCOIlAD4qMLrMa4YkzJ+EhCEwdZXpNkmbPjYJ4qEUTAD6c8UuhCPCdTIbcuPugJLP2XjirxylJdEiQP8+8s4S/Dv3N0s++5cHmbV24e+djzk/zABj27lh6POvupOkK+Ph4umOoG0WG0wmwaOpTeDP/1wr5/9S9C/sAi/PH7hYEIVAQhBqiKF529n6sQSKuvTo9CmA3gZUK4iSU9YywKIosX/cb3ds1x9vLs6S3YxXqL8qSgI+3F+XKeXDonzMlsn5ZwN1kpn43IzktE53eyKQRUfJn0p4LZ/U4JYlOzKjI8vW/MeX/3iSyc0+X7d1VmDb3EwRB4NFnnizprWgiIzWNLSvi6NY/koDgoJLejhsW4I6hrodLNMCCIJQTBOEgcA3YJIriHtWQWsB5xe8X8o85Hdb0uhJxXbtzI706PcrIqWM5cfaU1fO0jg+KjOaDV9+hV6dHy6Q2eOFvP5OVk83cd0aW9FZsorRok6sHB5Keri/RPTgLrqiulXTOX85bW2aKVdzQhjW97qK4bUxbEIOfjzcpGTeIHPMRx89ctHiepbmGRnbhkzGDMWZns2TRNwx7chAThr7i2hfmAly+foWs7GzCI1qWWqu2LSviWPjRHLc22Ylwx9CyCZf4AIuieAtoIQhCIPCbIAj3i6L4j2KIVmRQZ4kRBGEEMAKgTvXC8WNr2dlBkdHoDHp0Bj2vffYu2xL+IDsnh3bN2rA78W+2JcTzx/6/mDd5tpwZ1ppPygjP/vGbMpkJnv7dTO6tew91a5R+67PSok3u1DqMpet3celyKjVrlE3Zi4Si+BNbylJI2jydzuhy72N3psQylDG0bvWQQs1hTa87NLILOr0RncHI6E++Y3NCItk5uTzULJQ/E4+zeU8iO/YdYeGUVwgJ8rc4V0iQP6H1atJ3/CcANKxdr1B7LWk89lJ/AN77vvR2qZM0yW5tsvNQlmPo3Rw/XdoIQxTFdEEQtgM9ASUBvgDUUfxeG7ikcf58YD5Aq7DmBQiyPbDUwEKSPwBM/3YW7Vs+QJeIjjSqe49cCFe/Zh027NrKR/P/R90atRkUGc2DLSJoXK8hD7aIMJtnUGR0mWyWsfHPbVy+fpUNX71n9znFIUOwtEZp0SZPf3UwS9fvYv6ijUx5a0CJ7cMZwcveojyttSwFfknnnJySiZ+ft0uLVcpig5HigjKGtglvWKgYqnXRqfx8+vl688acH+nUKpxOrcLJzs5l2oIYABrUrMra+P1Mnb+cejWq0qFFEx55oBnXUjNITsskJMif5LRMps5fwdcr1tOySTP6dY8sUzFUgiiKnDz3H5X8A/CrVNHq2OKQIVhaIyA4iKdGDXHJmmURd3sMvZvjpytcIKoAOfnk1wd4BPhENSwWeEUQhGWYit8yXKX/Vet1JSgL33q078qGXVv54NV3uJ6WAkD7lg8gIHDm0nliNq4mLTOd62kprPtjEyfOnuKlaePZuOC3AhnhspT5BXhj1hSqVa7KI+1MxVz2kFt7K72LguJYoyiok59NW/ZLfIkSYGcEL3uL8rTWshX4i6Pgz+2q4VpoXXSqC9927DvCP+eSefHZKC6m3uTh7o8S4JHF6o07OH3pGkvXx5OWqePeOtU5ef4Km/ck4uftxeRR0cxaEsfXK9YT6B/Azh9+L7XSAVv49PvPARg08SVWzl1sldxKMgTAZWS0ONa4E3C3x9C7OX66IgNcA/hBEIRymDTGK0RRXCMIwigAURTnAmsxWaCdxGSDNswF+7CI5PRUdAY9b704jpH9TUvPW7EQneG2prPNfS0BOHv5POevmDRtKzfFcf7qRXy8vDlx9hTzVixkZP9hsowiOT21TLlAXLp2mX/PnuKLiS/Kx+whnsUhQygtUgdr8PGuwKnTV0p0D64IXrZuySnXKg2OFqVhD3cbIju1Yce+I0R2akNIjVosXbqMHO9Aynl4oDdmUdHXGz8fbx7uvZeXx4xn99/7ADh5/gqV/Hy4oTOQnJFJavoNZv60Bi9PL4b3G0JKRlqZiqFKfPL9bARBwKg32CSexSFDcEsd7MPdHkNLev2ShNOL4ERRTBRFsaUois1EUbxfFMVp+cfn5pNfRBNeFkWxoSiKTUVR3OvsfWhBKmCbt2KhLHOQZBCAfOyDV9/B19uHOT/NxbNCBfn581dNRNiQZQRAbzSYySiUc5U2aBXvvfLhRMp5lOOl/j3kY1IxijXiWZS2pvaiqGsURye70Lq1yM3NIzs7x2Vr2IIrTNYtNepwG7q7IX2ulq2PZ238fg5cNnD0VjWuG/LIys7h1q1bMvk1GLMo7xfIzDlfEBl5m4Td0BkA2Jd0ivpPvEJensj/DXiezxZ+UeZiqIRzl86TnZND8w4P0K1/JMPeHmOVeEoyBFe6MBR1jYzUNFbOXVyqOtmtnGfKntar47x6FXcMvXtxV3WCk+QKeqOBHu27kpKeyrtffMjDQ59gy56dAOw9coDraSnojQY+mTiNb2fN5aWXXuLpp5+mbt26BFQ0/eHWq1kXgHe/+JD1u7ZSp3otVm5Zwzuff1AqXSCk1y59wWRlZ7F593Z69Y4yu+VYHORWDVeQ1eJwi5j6kkn6cOFSisvWKCoKU51sq+OOKyqe3SgbkD5X+qwsno/uS+gDXen1RG96PdGb1NRUsnJyMWZlc+vWLa5eu0Z0//4MGDCAt956i7CwMAD8/XwA2H/sDDqDjtxbufy2+XdahTUnbvv6MhNDlXjs/0zFb2/O+6RYyK0SriKqpdEtYt+2PwF4bXTxyeLcMfTOhUuL4EobpMIKnUHPhl1b6RLREYAzl85x5tI5/Hz92HVgD6nGTKZMmUKXh7uQJ+bx7oNNAahQvjz79+5n3ITx1AuqyeLVSwE4cPQQAOevXGR/0iF8vX0Y2X9YqWqOoS7Qm7HoS/JEkSWvPVGS2wIKp/e1pVUuDgnFQ81DARg94TvW/PKOy9axBOVtNkDzllth9G22bonZM6fWLcC7udr4ToH0edLpjbR9/GkqeHrh7e3NiRMn6NevH6tWraJGjRqcOnuBvn37cuLECRo3bkzFihWZMmUKn019m8vX08jUGcjJzQXAx8tbjsEAew7vo0pQZQZFRpfqGKrE2UvnqRjgj19F68VvrkBhtb62CvHuBgmFO4be3birCHBqRhp/7P+Lic+PAUwShkZ172H5ht/IuJGJTq8jMjKSt956Cz8/P3JyTbe2BQRERHJzb1Gjdk2+++47Pvn4E9JuZABQydePG3od/hUrkXnzBlD6mmOoiwE/XzKP8Ptb4Ofr7bI17XWLGBrZBZ3BiE5vlCvDbUEizTqDET8f7xJxiwgOqIQgwF9/H3fpOpagDKKAZkB1pr5NCr69e7U1m1N5PHbt3wwb1FUzwLuq2tj9pVB8SMm4wY59R5g2ehj3PvIIubm5rIldxRO9TWT36aef5ueff+aZZ56RyW9MTAzVq1WlcuXKvKnP5eJ18+yuIctIYKUA0vPjafuWD8jktzTHUAmvz5wEwJgZk5y+pj1uEd36R2LUGzDo9WSkptmdeZaI8+Hd+xg7c0qB8+4Gt4jSFEO/nLcWgFdG9iKksr87hhYD7goCLFmVbdmzk20JfwDQKqw5c36ay1svjqPPw4+xOG45YWFhvPXWWwwYMABvb29iV8cSEBhAXl4eANeTrxMVFYXRaGTZsmWc+PcER48e5YZeR4/2XZn4/Bg+mPcZeqOBqB59gdJpibbuj83oDHqWvufa4GZvZjckyB8/H5OVkp+vt13EVZmJKkm3iMCgENLTS0YCoRWY1UHamQUOloKvdHx7/D+s3bDf5t6cXW18N9v4FAeUF7ITZv3A2vj9dHj4ERp1h6ycXKpWrcaauFj6PvkUSUlJtGjRAoDw8HB+/fVX/P39yb1liqGt27Tl9JmzBdbo36MvlQODSUlP5d9z/5GakVZmbCW/+/VHPDw8aNfD+Xeb7MnuBgQH4e3rw8KP5uDj62s3ae3WP5LDu/exd2s8W1bE3fFkVwulKYZO/XgFAH5+3rw+pq87hhYD7igCrPTkVd4yk4rehkRG07BOA+rVqIPeaCrE2LJnB0dOmjJ4U6ZMwc/PT76l17tPb3777Tdq1qzJpUuXiIqKkrMafn5+fPjBBzzVrx81q1Tn5Ln/WL5uJdsS4tmWEI+vtw9+Pr6kZqSVqtt4AG/NmUb1kKrcf29dl67jiAzBUcmClOE9fuYie4+eIrJTm8JvtAjo2vJeft2SjMGQhY+PV7GurQ7MrjZJtxR8pd9792rLwx3ul7MI6v0484vEnn2VVeTl5fH9j1v4ePbGYl9b667NV8vXMW1BDDq9kXde6MeJs5eoX7cWYr6rsDErm6rVqvPzzz/L5Bfg559/pnr16uj1esT8wZUrV6Zu3bpERERQuXJlUlJSSEhIYMOf2+jbtRf/nvuPbQl/8NbsqcybPBugVMZQCUn/HSc7J4eWnR90yfz2yhAKI1cICA5i7MwprFm0HKPe4FD2+E5BaYqhOp3R7Dl3DHU97qgiOGtFCgDnr17i1PnTzP/lB3y9fejRvisJh/ejM+ioW7cuHTp0ICQkhJiYGBo3bsyJEyeIiori7NmzZuQ3JiaGKiEh9Ojeg+jIfhiyDJw6f4aNf26jS0QHxgwaBZgK5N6aPdXqnoobZy+d5+S5/5j2Uj+Xr2WpoE6r6K2wxXdxO/eyNn4/cTstG4ko17NVcOdoQd5LUT0BWLJip0P7LiuwVM2sREhlf4YN6irLHwC5wKMwxR72nKPc151SWX3qv8s88/ws/KoP4qVxC/D19S32PWgWjwq3H+MPHuPk+Sus3PgHggDly3lwKy+Pixcv8swzz5jN9cwzz3Dp0u3+RuXLl2fIkCH89ddfzJkzh8mTJzNv7jz27N7Np7M+Y+O+HTSqew+N6zVk4vNjbnu1l7IYqkTU+KEATFo42yXzWyqoUxe+FbbwLiA4CB9fX5bOnm+12E1a78KpM1YL7kqjc0RJw94Y+srIXvj5mSSJyhjojqGuwx2VAVbeMlNmgyWvX73RQLPG98njR0YNI+nUcS5cuURERIR8PCQkhN9++42oqKgCt/RiYmIIDAxEBDJv3qBH9x4sj/sVX28fIu5vxYqNq2jXrC0j+w/Dz8eXXp0epWOrB4v9Np6lbPiYj9/E28uLYb1Lzl/3qxXrmDY/Bp3ByOSRpvelsN3l7MkcK6UYgFXJhKMFeV3a3g+YgsmLz3W3e99lBcrMgLXbZJa0dMqf7c1c2HM77k7JWIiiyNcL1jHz662cPn2akJAQBgwYwMiRI6lQoQJt2hTvnQ3l50n6TA7o0SF/syb/X53eiKef6TPq5+PNqTPn5ARBeHi4rAFOSkriySefJCYmhlq1apGRkYG//+3PtiiKZGVnIYoi4WFhLPt5KXu2/sn8X35g81/b5bhd2mKocv9nL50nJLAS5csX31dpRmoas8dPYe/WeOC2NKKw3eXsyR4r9cLqdbXGWXr+boQ7hpZe3FEEWFmkMPvHb8wKKPx8fJn+7Sy6RHQABLYl/EFIYLBst1OjWnW8vUxXX8YsIzVr1tS8pVezZk30elPDjDwxj0Mn/6F+zbqcuXSO6wotqHIvjUuggEOrgCQ7J5vNu3fwfN9ueHgUPvlfGLKqPAepIat4+7lhU75kbbxJP+osJwgJyi91qYjHkmSiMO4RFSqU42DiabvHlyUob7lpBUxLRR1aP9tbaGFPYC7r5u3nLyTz7Mgf2bt3L9nZ2bRq1Yr33nuPpk2blui+lMWjMxavli8GJY3+3qOnmDHuOSbM+oFGGzcTFtbE7O7Yb7+tpFbNmvzyyy+yC0T//v358ccf6d+/P56ensTExBASYuqkKIoiycnJREVFkZWVRdzqONkurTTGUCVe/nCi6bm5nzk8t6NkVTl+y4o49m6Np03XDnTrHyk/Z9DrWTZ7AWAf+VTOaWu8RI4juneiUbNwiwV3d4NzhKNwx9DSizuKACuhLqAYFBnNH/v/YsMu022IxvUacuLsKXy8fQi7pzGXr16hfLly6A0mbfClS5c0b+lJGWAJFy9d4sylc/Ro35XpYyezdufGUlG0oVVAMuVrU0fq2ROK1nhPK0tqi4wqz3k5+jH8fL3lLJNEfnt1aOUQ8dTKJGtB+aW+KG4ba+P30ya8odPcI4IrV+PqlUu2BzoIdbArjkpda2toBUxLmQatnz+bs0oeK2VD7F3nToAoiiz8aSvvfrCSK1euUK1aNZ555hleeOEFPD09S3p7BaC+GNyx74h8kbo2fj95nl8x6YOPMRqNNAkNZfmKFVQOCiIj8wYBAQHExMTIxFYURby8vDh+/DhRUVGatRVNmjShcnAwvyxZjl9yib1sGbaK8Jat/QUPDw+aP9TW4bnVmVJbhFg5XkkyA4KDWDJzLstmL+DJkYNtNuDQmtOSC4QSSkcIqeBOQMDb18dsz6XJOaKkbMSKI4bqdEb8/Lwtvo47NYY6G3csAVZmD6RbWdPHTqZVWHNSMlI5eOww/n6VyNTdABFEfS4Go5E8MY+UlBSefvppq7f0pAzGnj178PL0YuLzY4jZsKoEX7E51JY9oijy/W8/0a55W/x8bluf2SKuWs9rZUltSQeU56izTBL5XTjlFcc0wKpMsrU9S8ekzK8z3SNGR3XhnS+WoNcb8XWirZw6MBZHpa6tNdTB3Z5Mg1aGQ1rHViC/E3DtWjoDhv9IfHw8eXl5dOjQgffff9/s7lJphPJzmpyWSZuwhrQJb0iPB1uQnZPL5QvnmD59OsuWLSPA35+qVauQl/9Z9PAQCAkJ4ddff8XX15eAgABWrFghk92oqKgCdmkb122gYqWKVKxUkcybl0vwlZtgyfYMYN+Rg2Tn5tCuZxeb5FXreXWm1JZ0QE16lWOEfJG2t4+PQ+TTkguEpdcjHY/o3gkAg15fquUOxWkjZmtdJZwRQ3U6o13JBDes444jwFq6LeWtrHdGvEa/cUNIOLxfPufE2ZPsP3qI/jsHEhYWJpNfqeCtZs2axMTE8OSTT8rBOyYmhmPHjnH+/HkAosY9R2pmOmDSGvt6m7odjew/rFRULq/ZsYGbeh1z3xpgdtwWcdV6XitLaks6oHVOclomOr2RSSOieLn/Yw4XwCkzybb2rD6WnJaJn683kZ3aMGPxaoe1x0oM6tmRd75YwhuTfuSLGcMLNYcW1IHR2ZotrUyFrTXUwV3KNEhFF1pBWOsLQZpfGcjVXxauytYURxYoOzuH5b/uYuLkFVy5coWQkBBeffVV+vbtWyLFbY5A6wJyUdw2pi2I4ZMxg4k/eIzNexIBOHTiDCdPnmTKlCl0CDJphT08BPLymXBmZiZVq1YlKyuLkJAQVq1axdNPP61ZW+Ht68NNvQ6A3//ewm8rVzJ97GQa12tYzO+AbTzzhulz/ubXH7P625+tEkEtcqsmsbakA1qZVYmQdurTQ87EOgLJBUIiu9b2q3U8IzUNH19fIrp3YuXcxQ5rj12N4rARK6kYmpySKScOLBHushw/iwt3HAHW0m2pb2VNHzuZk2f/49SFMwDc1Ovo0LIdC76ez7Tp72M0GmXyGxgYiF6vJzAwUL6lZzQa0el0TJkyhUp+Fbmhu0lqZjrB/oGkZqaz98hBdh3YDYCfj2+pMHF/a/Y0alerSdNG9cyO2yKu9mpi1QTXHn2u8ktVOcZeba8luYLWntXHpHOVOsfCZoJrVzfdDVi1Zo9TCbD6Npazb2tpBU71GlrZCp3OiE5nJDklUw6A1rIeWl8IyqAvBXJ79ucMuDIL9E/SOaZOX8eq37eQl5dHu3bt+Oabb6hTp45T13EltC4g1Z8fncHIothtnLuSzNGjR4mOjubpXt1oHHYfKTezSElJYc+ePfTq1YtJk243iKhRo4bF2oosoxHPCp5k52Rz7tpFNuzaSnZODnFfLi2mV24fsnOyuXjtMoHBlSlXvrxN8mqPLtYawbVHFuHoudbWtbRf9XHp3JVzF5fKTLCrbcTAdgy1RJCLGkNt6YptzVcU3EmewXccAdbSbalvZTWu15At38fy0fz/sfaPTdSqWoPP3/6EH1YvlW/p+fn5yTIHCVWrVCUmJgadTsf06dM5evQoDzRtzZ7D+/Dx8mbmxI84fuZfdu77C4AuER3N9mGrqthV2H80kTOXzvHzR+MKPGdL81rYjmr2uClYIteFaY2shNaeHSHLhUFFv4pcvZ5RpDkkFNcVtj3ZEK1sBSCbtk95e4DZHL17tWXKR8uA2x2NrH3pWCPchcnW2PPeOTsLlJOTywef/cJ3P+7i4sWLVK5cmbFjxxIdHY0gCLYnKGXQ+kyoPz+TR0YzoEcHRn0wD31WFr7eXkx7oTdtB7+NLj+LC5CSYt4kxlptRZWQECr5VeSm/iY1gqoAmLn2QMnFUCVGT38DgHe+/x9gW/daWF2sI7IIR8+1Bkv7tXS8NBa+lZYYaoks/n3gJGs37JebXijn6PhgGI9HfcDMj4YR2qgWYJ24W4qhWkV1tlAS8bMkcccRYEu6reT0VOatWAjcliXMnPghlQODmf7tLGI2rMJgNBAXF3f7ll6HDnh4eJCXl0c5Dw9E4NixY3w150vOnjnLiKefY1T080SNH8qp86f5IXYp3R7oxK4Du+nRvivzJs82C9Il1drz5Q8mEFDRn+ge7R0+15X2ZNKXquS9K63hLFJqD5zVMvne0Ps4uH+PE3Z0O2i6Wh9rTzZk2KCu+AdUZmB0b6gQAGI2nt6mvegNWYB50NTqaGQvklMyeW7U53I3udfH9HU4w2BPdsJZWaDEw2d4cexSDh48iIeHB61bt+bLL78sU9leLViSK0ka+ridexka2YXQ+rXY9u00ps5bzrT5MfR6/Qsz8guQeCgRb08vjNlZpKam0q9fP6u1FUIND7JzstGl3uCDV98pUIBWGtojL1u3knIeHjRpZduxo7DWZOCYLEK9TnGS0tJU+CahtMRQLbK48KetrN2wnyaNa9G7V1uz+Pn6mL48HvWBHAN/j3nXof1oxVBHUJzxszTgjiPAlvBT3HKmfztL/t3Px7dAcD1yytQRTrqlV6dOHbp0fhgfP1/5lt758+eJaNqaZ3r1I6pHX2I2rCIkMJhT50/TrPF9ZhlodYbCla09LWVGUjPSOPxvEiNefr1Q8zqajTVrm2onsVSv4SxSWljyXhi8M7AjUfv3sGT5Dno80rJI2Qd79LHOgtUrfo9KhNRqy8iX+5sdfnXcJ9wb1p3rF00yH2XQ1OpoZG82RvpieKRLswK3B+3dv7OyE5b2fOvWLab/byVfzN/CtWvXqF+/Pi+99BKDBg0qkrVgaYf0GZWcIHR64239fX7h25n/ThY478S/J9iybSuhoaFmdmmrfltFg/oNWBO3hl69enHs+DGioqL4PW4N2TojAx55UjPDWxIxVIldB3aTe+sWjw7sa9echcnEOmJPZmkdZ5HSohD4klyzuGKordimRRaHDeoqt42PXfs3YO7zO/Mjk0uT9GjPOhLU5NrR1+DM7G5Z0ArfNQR4UGQ0OoNe/l3KIkgNKwZFRqM3GmTtLsD58+dZ/JOJmEla3zrVa5FweB8Jh/ex/+gh2VatR/uujBvyf1Yrh609V1RYyoxMmPEeAgJfPlc4Q31Hs7H2WpMVdg01qU1Oy+SrFetANBXFKYmu8kvbYYcJB/FU13YA/PDzNi5dSStS0LVHHwvOCTAWr/jLVefctWC8vW9Rtar5Ob6+3rRt0wLaNIVy6WZBM6SyvyyLkPDlvLVM/XgFOp2xwHNKSOR5155jTP14hc0Msla2w1nZCfX7cuLkRQa+uJDExEQ8PDx4+OGHefHFFwkODiY2NpbMzEwze8Q7DdJnM7JTGzq3vg+d4baLiqdnBQBahTVn/9FDAJQvV57cW7kATJ48me+//96stsKvoh8Zmel4eXuxfMVyoqOjMRoMeCBQv3xVxMBczX2URAxVYui7rwDw0odv2TVnYTKxvy9awdLZ8zHqDTwzfqTT11ESTEB2dkjYtLMA6XTEKs1ZsHbRkG5nhzl7YqhL46eNvf0wd7S8tgTp59BGtQpkfh2JoRu3HmTztkSWxvxhdSw4566bJdj73pQkUb7jCbDyqv6dEa/JxyTSqwyoz/UZSOKJI9SpVpP/Lpzl7OXznL9yER9vH+6t25ADRw9Rt0YdnnokksQTR5j4/BhahTU3c30oKWhlRvLy8vh1Uxydu/UkLVNXqGyo2grJ5hwWrMnsXUOCpbXU2eJFcduYNj8GAD9fb7O96gxGHnmgGWvj97MobptTssrWUL5cef7ef4qfvx8PFP0q2haZ06oMdjSQaF7xe1Ti3LVgHu7aEx8fH9bEraJu3dqU8zDpWVOSr/NEZF8MBgNxsauoGRRgV9DU67MsVjlLr9fPz5vN2xLp1aOVzfdPynaoxzojoA4b1JW8W3kYjNkE1X2e9PR06tatyxtvvEFkZKTc+Wvx4sV8/vnnAAwZUrpuAzsL6s9iaP1aJhcVH2+C/Csy4v1veKJTD7589zNmLf6axBNHePWZEXzx83yO/neCo0ePsuCbeaz85VcqeHlSrWo1vL28ACjvUx6/OnVZExuHIEJNIYhbRmOJvE5b2eUryVe5fP0K/pWD7O78ps7E2pPdFPODp+hAEHWkiE5JMAHNDm9KyzMtqzRXwhqZv3TyjENzWYuhWgTN0djhiIWZck4lQXdkPXtiaPsHmrB5W6LNuUA7hjqLkNqbTS7Joro7ngBrXdWrswiSPnh34l62JfzBB6++w9fv/Y89h/cR+fIA9EYDaRlpdInowP9e/5CYDavYlvAH5y5fIGbmItbu3Mi7X3xo0fGhOAo3tDIjXy37jlt5t1j6Zj+rUgZ7pQL2yCEsWZM5CuVaQyO7yPtTZ4uHRnZBZzCCaJ5BljLREwb3pnu75vJzZh3p8tdRZpOLIpmoHBDE1dTrLtNI2brdX9hsRIGxnk3w9r6Fj48PSUlH6flYJL//Hsc9DeqTfP0qXbo9RlLSUZo0CeVWnsC5a1UY9MJos6IN5X4HRnXEz8/bLu9KdTbZGiyNLWpAPZj4Hy9N+IU9e/ZQrlw5evTowciRI6lZs2aBsb179zZ7vBNhyQqxS9v7iRj0Bg80bc2X737GvBULSTxxhG0Jf9DtgU7EfbmU8Z++w/xffuD7xYvIvmnkhZeGE9YoFEOWkZt6HeXKlcPb04t9B/aTdvIyg7o/rbmHkoqhSvQdPQiALk/2KvCcvbft7ZFEPDE0Gh9f3yLrd9XNM6T9aRHMiO6daNqutXxMmYVWW6UpybE6a+wM+YI1+YYoipQrV3ipka3b/Y7GDluxXplh3R7/Dz/MHa0Zq65fz+DI8fNOiaGvjOxl9c6hElox1FmE1N7vwZIsqrvjCbA9mjGlPrhH+67y2M1/bUdvNBAcEMSZS+d4sd9gM0/KU+dP89bsqcybPNvqGiVVuDFj4efUb3AvVYMDrcoMbBFbdRMJS+TWHgJpb+MN5Vrq/Sn3GBLkz8v9H2NR3DbzifKTJ77eXmYEWppLpzey9+gps/bLRXWfiOzUlG9XbeXqtTSqVXXerUIpCOp0RrnATCv4FSWQSGu88FwkwbUqU7UqrIlbRc/HIjlx4gR9+jzJ0p9/ZuAzz5CUdJTw8DA2b1pLpUoBGLNyOJx0nVcmLGDT6inynFoZajDp8qRbetJzEhy5eLA0tjDvw82bBj6f+zszv9pASkoKNWvWZPr06XTt2tWqtjcwMPCOzfxK0Iodpy5cod2Qt6hdrSabv13FnJ/masZQn/w7Y/Vr1uWnlctoUqshEVXCWfPXBnYe/IuUlBTKZYk0rd/EZowu6eK3pFPHEQSBqFcKdtK015LMllTBHgJpb+MNqWGFRH6V+1N7EKvnU2ahpaI6ZSvmhR/NYf/OvzgUn4BBr+fZ8aNsvg8lCUsxVA1nxFA1mVy7YT/3NqzO2g37Gfj8TJZ+P75AzF6zfi87dyWRnZ1b4jG0uAlpSRbV3fEE2B7NmFIfrNW4YnBkNL7ePugMepLTUxnZfxh6o4HEE0eYPnayzTVcWbhhCbsP7SUlI43f/me6HW+tsMyWBtdeYmjPOFsaYXs8SNUkWuscZSZanU0Gk4+puv1yUd0nPh37HN+u2sqK3/7k1ZGPF2oOLUhBcPKb/Zn8Zn+Lwa8ogURao3FYW/o8aTpWt25tNmxYx+OPR5KUlERzReOCLZvXUbFiJXx8vMjLE3nggQe4fjnJrHBNy7vSz89bfi2fvj/EJUHWkfdhy/ZE3pu+gT179lChQgU6duzIm2++eUfreR2Flsf3/U+Pw9+vEkdW/YUgCBZjqCQN69O1lxxDr1+7TvuGrUjYtZuUc1f53+sf2Gx2URIxVInNu7eTJ+bx+NBoTdLpiCWZNWJoD4G0pRHWmkO5PzWB1hqvzkJrtWLOSEnjUHyC3InO1vtQkijOGKqcT4pv15Mz+GzOajZvSzRzzJGcH86eu87OXUmE3lvLbM6SiKF3ksuDLdzxBNgehAQGm+mDZ//4DYMio80K5KQMhCRz+HC0/fYkrizcsITxn71DcEAQ7VuG2Rxry3XBXmJo1zgbGmFbcySnZTJsypdmmVtbvqVDI7ug0xu5npbBV8vX8XL0YwD4+XibZaLtcZ+wlsH2r2jq8DXryzinEmBlENQK5Pa4JYB1bVfvXm3ZHv8PD7S97btazkOgfr06LFu2lGbNmsvHly9bRmBQCKmp6YDJ7qxzx5a8OuYXFv601eqXiSXZwvF/LzL+7YUFbgHau397kZySyfyFG7lwMYVf4w5w/fp16tSpw+TJk3n8cef9n92pyMnJpfGTY/EQPPj3972UK1cOuDNjqBIjp47Pf9R207F2294RUmjPWFsaYVtzqAm01nitTnUGvZ6MlDTWLFrOE0NNFyIBlYOsnqeFknCWcHUMTU7JRKczMvnN/maEVKn19fXxKrAHkIp3K+WPr2S2XmmNoaXd3cFeuAmwCupbbVLg7tXpUaDkMhCOIDk9lcQTR/jg5WdsD7YD9tqS2TNOmZnVcnRQ6nMlb2BlBhcokLm1p5mHn6830xaYF8tZO8feIjwlBEHAy8uTi5dTrb4H8hp2BhJLXX+kIKp0S9CaU+v2nzqoxq79m7Ub9rPwx/W8/noExqxsfHy8SEm+woABA83GRg8YwJbN6/CvZMoAl/MQeLRLGE0a16Ljg9YvuCxlF8a/vdCm96X0erW0dPZg11/HeHLQLK5fvy5neydMmEBVtc2FG5oQRZGGvcdxQ3eTxF/jZXmDGndCDFUiKzuLqynXqFejSqEamzhiSWbPWGV2VsvRQbJPy0hNk1sUKzO4agJtz5oBwUH4+PqybPYCAHx8fa1ms62RXGfKJEpLDJX8zye/2V9uQhG79m95DrU7jjqzOzCqI7v2HEOvz7JJxksyhirnAHcnuAIQBKEOsBioDuQB80VRnKMa8zCwGjidf2ilKIrTnL2XwkB9q00K5n/s/4vpYycXKMQoDZ2J1Bj78VuUL1eO113geuAMna8ELUcH6XedwShLJQb06MCOfUeI7NSGygGmK2SJ/E6duxwEeLn/Y1bXslQsZ+/elPMoH9W4/57a7Dv6n835oehFa/YWcSgzHupbZsquQdvj/2Hu/GWMGDWBrKwcLly8TL9+T+drfsNZvmwZ0QMGkJSURLdHesruEAAfffotx05c5P3PYhw2bwc0vS/VUPpnSl9QX85bC9zuOqdGdnYO777/M998twWdTse9995Ly5Ytef311wkKCiI9PZ3FixfTu3dvt+zBBpoPeI+L1y6z84e11K9V1+I4dQydt2Ih07+dhc6gZ2T/YWbxsjTGTzWezC9+e3P5PKfM5wydrwQtRwcwEUsp05uRkoanjxcDx46QibJEoC+cOsN378/ihffGUbthfav77tY/EqPegIhoM5ttjeQ6UyZRWmKolP0FZIJpqfBNC7Fr/2bztkQ2b0ukShX7XHXUcDSGSrETLMdPS3NIj2U9G+yKDHAu8JooivsFQagE7BMEYZMoikmqcX+IoviEC9YvEtS32gZFRvPH/r9kv1/pURpTGoozlMjNzWXNjg307RJB+fLlnDq3lvxAC18tX8e0BTHo9EYmj4rWPH/HviPMGPccUJBUDo3swlfL15lOEiFu517Wxu+nc+v75Mytei9+Pt7ycXXHqpAgf0KC/O32JdbakwRb2ebBTzzMvqP/sTvhOO0iQq2uYa3YwJ7AYm8BgzVnBWWwl7wpK3ikcz0zhz59nszv2hXGti3rqVqtOtu2rKdLtx6yO8S6tbFkZ2UwamhHLl68wH2hdTj+70Wz7Ic90PK+1Hq9P8wdzZfz1nL9egYDn58p2/0oMziiKPJXwjGGj1lCUlIS3t7ePPnkkzz77LNUr17dbM7Y2Ng73sbMGXj4tfkcOXmMVZ//RKuwZlbHWpMrqONlaYufWog/uAcvz/LUrl+vyHNlpKYxe/wUM8sxLaxZtJxlsxeYFZipzz+8ex8vvGdqb68kk9LPUob31JFjHIpPYNjbY2QyLWWIP3zxNS6cOgPA5EVz5DW0XB4CgoOc4kvszM5xpSWGTv14hUyM/fy85SYU0sW6eg2lr+8rI3uh0xl5efhjHD95sUB3OFfF0G1//MPOXSZa5kjXTuV79tmcVWU6G+x0AiyK4mXgcv7PNwRBOArUAtQEuEwgJDCYeZNny7fwOrZ60OwWXkkXZ6gzKHN+mkfurVy+enO409daFLetgPxAy1YsOcNUqarPyuL4mYtMmPUDM8Y9JxPZJvVrmRFaCUpyqWWnplzz2Xdms3lPIg82a4yfj7fsGqHuWAWWibq1TLVW4Y89We1hvbsw9rPv+fq79TYJsKMelVC4zkPKY+rzpcxv715tb4/zOEuKZy2ys7Pyye86qlYNATGXqlVDZHeIrCwjer2B/tFDGfZMWx7t2oKJ7y0mbv1ejp24WGDvzoBUBCLdhnykSzPaP9CEYYO6cvVqOnPm/s7nc9ej0+lo1KgRX331FRERERZvXd8NNmZFRb/pq/hj+0ZmTvyQR9o97PD5Sh2wBHXcLElZhLUs9LJ1K8nLyyPyxeecstaWFXHs3RpPm64drNqKZee3Gb+RmsHPM+chIvLE0Gj5/NoN67N3azxN27U2I5PKnyWphHJeCRmpaXz2yjtcOHWGSoEBRI9+wWyPWt7AWrCUqXbEl7goKOkYCphpf5XjtJpdWNrn1I9X0KtHK7mBxd8HTha6nbEtSDFUIr+PdGlW6EK6krQwcwZcqgEWBKE+0BLYo/H0g4IgHAIuARNEUTyicf4IYARAneraom5nQysYKjMajVVZipIuzlBnUOYsmUuzxqZCJklDa6+nrS2Sp8yKSs+r9blvzPmRRyJMGSJfLy8mzPqBtfH7OXH2En27RDBpeBQ9HmrBh9/9KpNWLagJqPLnRXHb2LzHlPmrUL48m/ckErdzL6H1axXoWBXZqY3F98GRTnGWJBHq96yirw+Ch2C3EbklWAosRdVfqc+XtL8Pd7if18eYPmPJ1y9y4O9/2LplHX6+vgU0snXr1mb9ujjgFpX9LjPsmbbyPqUuREUJqrYwbNDtdsuvjOzFzl1HeKTvLBITE/Hx8eHxxx9nzJgxeHt725zLlTZm6enpxMbGlqi8QhlD61YPcfj8SV8vZdUvv/LOiNcY8bR9JFAdQ9UxUvlzScdPsHwXLzk9lVc+NBW9DXnjZbvmskXylJlR6XktwumZXzB14b8zHFqcAEB83CbG/G8yw94eQ3hEC5Z//p1sdaYFJQlVyxu2rIjjULzpa/lGegZJCQdp0qqZ2R4lb+CI7p1kLbH6NVnKVGvBkizCVUVxxRFDATn7qy6Ks0aytbx6e/dqy8Md7ud6cobcEr64Ymhh5QuudoxwtcTCZQRYEISKwK/AWFEUM1VP7wfqiaJ4UxCEXsAqoJF6DlEU5wPzAVqFNXegt1jhURZuySmhzKD8eTCB1Iw0YmdNKJSnra1ztG7/a0kFlPKDk+cv8/eRk5w8f4UZi2P5ZMxgNvx5kLXx+2kT1rCAREKLgKuPD43swqbdh9i8J5GI++7l8Y6tzQritHx/tV7T0MgucqbYVqc4S5IIrfkrVvLj6tV0i3PZA0uBRZmxdQRKrS8U/HLQ0sB9982bPP9CwS/+ch4CNat5suTHefTu2cRsny2bNmDztkRaNm3glIBlqYvSKyN6MemjpTRsPpqbN2/SoEEDvvjiC9q1a1fkNZ2F0iCvUMbQNuENHYqhi2K38eF3vzK0z0DeenGc3eeV5RiqxIKYRRizswgJrGR38ZutAi+tzKiacCp1uhHdO7Fp2Wo2rVjNhVNnWP75d0xeNIclM+eyd2s89zYLKyCR0CKT6uPd+keyf+duDsXvoXmHBwo4OWj5/mq9JskCTWmFZgmWZBGu8g4urhiq/hlsk2ypkZHSCs00thYT3/0BwOUx1Fab5NIAVxfcuYQAC4JQARP5XSKK4kr180pCLIriWkEQvhYEIUQUxWRX7McRlIZbco5AmUHp8dFEggOCeLB5KI3q1gC0i7UsEU1bfrv2zCORwND6pmziV8vXcT0tk06twnm4zX0mfe8Kk743OSOTyDEfMWPcc4TWr1WATErz6/RG2cFhwpA+hAT5s+TDsRb3puX7q/U+hAT5s3DKK2YSDovvswXtr9b8EaEN2JJwmIwMHQEBfprzWas0tna1q5WxtQdSINHpjPj5eVtdT8oOnDv7H8kXtxASUg3KBYHgCWI23Erj89lLmfjeYj59f4hZYPL19TJ7tAVbr1kdAFfG/sV7H/3O0aNH8ff35+GHH+a1117Dz0/7fS5JlGV5xY69//DC1K/oGtGRL9/5zKFzy3IMVWJrwh8ATP3le7Pj1jKWapJnb9MK6XllplbS6Z779z9upGVQu2F9WfMrEc4bqRlMHTpGLmJTk0lpfoNeLzs4PDVqCAHBQbz+5Yd2OTVY0/M+PrQ/3r4+dhW0WdL+FrYorqRiqFTYJh3TWkuKodYs1iyRO1fH0LIEV0ssXOECIQDfAUdFUZxpYUx14KooiqIgCBGAB5Di7L0UBqXhllxhcOrcfxw/c5IvJr4IWC/WskQ0h0Z2KSA1sJYRtifLrDeatGwR990rF6G93P8xEOHn9X9w8vwV/rtwlR3fvi87Nej0RpLTMuViugmDe/PJmMEWfX7VUEs1bFmkFcX7V+v82ROG0bT/ePYeOEm3h5ujBTUh1fKG1EJhA4JSr6a8fae1ntJsXS6OyDXYtQ9H2nCC7VagwwZ1xWjMZnfCFQJqD+XGjRuEh4czZcoUUlJS6N27d6HJr6slCmW1S1ziibN0GzWVRvUasvqLnx0+v6zGUDV2J+7F09OLuo3vMTuulbFUElklybOV3bTneUnz+863/5MJcqc+Pfg3MYkzx09yZM9+rpy9wMe/fis7NRj0ejJS02SJwpMjBzPs7TF2e/aqpRqWxtlb0GbtQqCwRXElEUOVLjSgHT/BQgy1cx+uiKFa65QFT2BXSyxckQFuDwwGDguCcDD/2NtAXQBRFOcCTwMvCYKQCxiAAaIoFovE4U7FqPcn4O3pxf9F97Q5Vp21tGb5pSSkavJnT+MLyfxbegQTaUSAk+evUDmgEsfOXJQlCH4+3rwx50f8fL2R7qr5+pi3M7alabbXt9heOConaVjH5DTw9tQl7LFAgLUIqT2BWR0Q7M2CKA3ZpSrlpTF/FDBuB5Oh+satB3l9dB+z59RG65Zu7TkSsNTaYTB5WIqiyLpN+/m/137i7NmzBAQE0KNHD1566SXy8vKYPHkyu3btAgrKCyRi27lzZ3bs2GGR4JYGiUJpw9lL12g76A2qBoewd9nWQvne3gn4/refEEWRZycWJPJaGUtLRFZNSG1ljLXWkrTBCZt2ygQ4YdNO9m6N5/4HWlGzfh0unDrDlhVxPDVqCN6+Piz8aA4+vr5yptjbx0ez5bElONOpAVwjc3BVDLVE6iQHBem5lNQbmlKK5JRMvpy3Fr0hyyy+Ssfhtu7WlTHU2nzJKZk8N+pzi4V2SrmHNUefspxdBte4QMSDdUGQKIpfAl86e+27FecvX+CvQwk8Fa0dWBwpblMiJMjfjJBK5E/Kzlrz35XWHNCjg9xxzQz5lzvDenehSnCA2R4k0j2gZwd5rJQNlsbYQ4btdW6wBUdbJHt5elKunAf/HD1vcYyakKoriOXXYOMKW2mnI2m6rAUlaY3P5qzSLN4Ak6H65m2JeHqWN3vOHqN1S/u29qUybFBXridnAPDm2Cd5/qWfWBKzhpycHFq2bMmkSZNo3vz2hcTixYvZtWsX7du315QXSMR23759Fkky2JYolIYituKEwZjF/VGv4ePtzZFVf8ld3u50aBU+v/u5ScP85PBBdhVpWSKyAcFBZoRUIn9K/11bDgsvvDfOTBssrSMR44FjR5jJEJSku3MfU0JERJSzwdIYe8iwswrUXNEi2VUx1J74CaY4qyWlkFwdALP4qjxuy3bMEXmHOoZa8wFW7nHthv306tFK82JBKfew5kZRVBu6koa7E9wdgKHvmgqVWoXkaD5vreGEpKm1RCq1yN+iuG23u6r5eBfIiqo9erXmVtqchVSrDr5BUN6TkMBsatRM5KUpswHYe/QUa+P388gDzZgwpDc6vZGvVqxj2vzbmmAt2OtZbA8Kk1GuV6MK/124iiiKVrNotq721cHYnqBiq8jDUttOCe+9HsWJk5doULeqmX5t5kfDyM7O5b7QOja7Fan3be1L5fsft/DZnNUEBwfT6bH38PLyYuDAgYwYMQIvr4I6OCVx1SKm0vOdO3emdevWFgmuLYnC3ZQhvnXrFg2eGE1WTjb/xR7A28u2g8adAnXRXmpGGpm6G9RpfA+CIBTIXjqazdQif9+9P0t2fJD8d5VQ+wWrCWtAcBBjZ06Rj1WvUo1AT18qeJQnxyeQgzVrMmPiFABOJh5l79Z4WnR4gKdGDsGg18tNMqy9Bns9i+2BszPKSjg7htqj37UWQ4cN6sr16xkk7P+X69cz5DmkefWGLJvtl60141AeU47/bM5qPn1/CJWDK/HZnFVWvyOs+Rorn5ecKSxl1AtjQ1ea4CbAZRyiKLL/aCK16tRj+JPdCzyfnJaJzmBk0vAozYYTEiRSrDMY5Yyt1EBCbfulMxh5bXBv/PKlCepMq+QX3KR+LSI7tbE494QRgxBqhINfZXn+PFHkmTGN6fB4f7avWcHaBTE0qV+LzXsSuXA1hWNnLjJpeFQBTbAaXy1fJxNnezO3zoD0XjzfpxvvfvUzly6nUKum4/ZTEtRX2OqgIunFevdqKwc9W0UeSuN2ZXZB2Rno5KkrnDy1nnp1q8pfGrFr/6b9A02Y+vEKfH29zLIutvatlSk49d9lPvjsV5b+sgtBEKhWrRoPP/wwK1euxNPTU5P8gm3iKj2fnp4uH7OUzbWW5dXKEN+JWWFRFAnr9wbJ6akc+vUPKpfSjmyugrpor98409/WxytM2dKI7p04vHufbDlmTQJh1BvkbKyUMVWSPymjKvnuvvDeOM0s65pFy9m7NZ7mHSLMnBjU8w95ZQSNA2oQ7GXSwefliWQbjEwZPZH+PXuz4vfVLNu6gBr163Aw3/bsYPweBowdXkATrISS/Co9i4sD1rLOoihSzsOxOxP2xFAJEim1pd+1FUN9fb3YEZ/Ejvgks85uUgGyMhNsqYhO+WjpmNZzWncF1bB10aB2qQA0SbW1iwlXao+dBTcBLuNY8nsMObk57PhqouZt/kVx25g2P4ZPxgyWn7dmZ6bTGy3qXZVZ1V4dWsneuTMWrzY7R2kvtmxDPIgwaUQUOkMW0+bHcD01gwc7PkzLzj3x1d2ian4NU54okp55k6ycXHwCgnn8mRH4BoTww08/E+Rfkb8Sj/NIRDNejrbe9hiQRThnLl0jJeNGsUgl4PaFxJvPPwnA5A+X8+1X9nmIakEdqNRBRSlpsFcHZ8n6TArKk9/sL7f1VH9pSK1Albo7R3Rsoijy6azf+OyLdSQnJxMcHMzAgQPp2bMnX3zxBbm5uQAYjSaPSjXhdISAKjO4gGY211qWV4to34lZ4Qf+bzanzp9hx6Lfuad2/ZLeTrFDWbQniiJ7jxzE29ML/+BA4Lbetmm71tRuWN+qlZlBr7eaHZYyr0+NHELTdq2pFBSgmVGWtLvhbVrI8w4cOwKjwcDS2fPZv/MvZi+eT80cT3LRIQXRLL0Bg05PhexsqgSH8MLTzxDsH8Ccj2cAkJuTw4Cxw3liaLTNFst7t8ZTo34d6jRqYPM9dKaXr60Me7eHmzo0nz0xVE14SySGCj6y205ItWxeH1sNRPPiYwlaJFKnM/LlvLUkp5hMtvT6LM2x9hJQtd+xVry3Vy5iad6Szgy7CXAZxwfzZlCrdj0a1Kqm+by9+lWJFCenmT4811MzmDpvuZnGV5nZVXrnRnZqw459R+TGFkp7McnC7JMxg+W1UrM9qHF/O7o++hi+vr5s3biOqlWrYjBmkZWTS3JyMtHR/ckyZvHLLzHMWLCEnJsmfZNEbLVIq/LYy/0fY8XGPzmW34kubs7bFl+7vU0u7MHQyC7o9EZ5n5u3J1ocW5grYUtBRX1Ly9bVvVb7T2vG6Or5lbo7e17HrC/j+Oh/v/LmZFNxkSiKREVF8cYbbwAwZswYdu3aRZ06dQDkJhZqwqnU906dOtUqCdbK4KqzuQaDgeHDh9ttVVaWrc200OOdxexL2MWCKXNoHa5dsHk3YX7MD4iiyNBJt32P7dGvSqQ4IzVN9u9dMnMuAgKPD+0vk0J1e2JpXoNej1FvkAvllPZiW1bEsWz2Aoa9PUZeLzvlBkE3PejRpzs+Pj6s37zRrGHN5UuXiY6OxphlJCbmF36suABjsIF/9uzH288X0Catyq50ksb4t3k/Elg52KqEwZlNLtQZdzW8vG7TFmfFUEuJBUfnKEwMffqpRzl2vhaNGt9POQ+VXO5WCmQfg7wbZrrcti3vlcm2JDFTdseE2zZqluRokp2bPTIJ9TGwLaWzBFdbmzkCNwEuw0g6dYwLVy8x+PHOmi4NYL9+VUn2/Hy9NTW+Eonu0KIJH373Kx1aNGHG4tXo9EZZa7twyisA8lwpGTfYe/QUkZ3aUDmgEn4+3oya8B4pRhFfX1+Sjh6l66OPsXXzBiqHVOHilatE9+/PsePHCQ8Lo1pIZeZ9OYdy5/5m8jfL2bwnka+Wr8PP17tAFzd1Z7fvJv8fL0z9mnde6Gf1tTvS5MIWQoL85b1V8PTi4uVUi2OdeSVcVLuYkMr+vDKyl2zvY2t+e/rBi6LIop+2Mmn6ai5cuICnpyfZ2dkMGzaMSpUqmZHI8ePHA/Diiy9y4MCBAkRT+SgVt8XGxtqUQvTu3VvOGCt/DgwMJDY2lgULFjB69Gi75Qxl1dpMC8/MXMfm9bF8OPpdBvay/hm5k6Esgpv09XQAHh8SJT9vj35VbYO2cu5iueDM29dHPv+JoSaZRbYhi7A2zYno3oktK+IAWDp7Pv8mJjF25hSzuZWEsFJQAACjnxtOQHAgPj4+HE06Ss9HHmXD5s1UCQnh6pUr9O/fn+PHjxMWHkblqiHM+fpL/jx/hG+nzmTv1ni2rIjDqDdlk416A8+MHwmYd3YbO3MKv37zA6ePnLDacQ6c2+RCnXG3BmfFUGfYbRUqho4fxZH/fLmVJ2AwZFHRz1x7fy3lFkZjHepWTTWzYWvb8l4+fX+IGZmUyPfAqI6yc4P0nPpRaedm6XUriwwlRwjlxYaWDMTe96mkM78S3AS4DGP0x2/iWaECP/6+g/vvrVukQi918wgpi6n23o3s1IanXvuUY2cuAsg620ceaMba+P18tWIde5NOyYRYGtMmrCEIEBAUgl+VWlQSBLZuXEfXRx8zkeDuPVn6888MfOYZjh0/TuPGjVkTu4qaNapTs0Z1xOM5PNTiIJsTEuV9STILiRBLmWgpOw1w7MxFPvzuV6utjh1pcmEPpPErNv7JvqOnyM7OwdOzQoFxjl4JO5rtsDZe67nCfJloZQEuXExmyP8t5c8//yQnJ4cHH3yQd999l3vvvdfMnkyJevXqMWfOHNLT0zlw4IB8XE04AwMDmTp1qkxkLUGSShgMBhYsWCAfV2aTLWVz70SdrxpzYzawfMl3jB08ijGDrLewvdMhFcHd1OvQ6XWEtnLsFjsUJHpSVldAKOC9m2Uw8tu8H3ly5GASNu1k4UdzaN7hAVp0eIC9W+P5fdEK/k1MkovPALnrm4BA5aAgmt3XFA8PgfWbN9LzkUfzSXB3fv75Z5555hmOHz9OkyZN5MxwjZo12PC/nVw4dUbW9K5ZtBwwZaUlAp9lMJEoAYGA4CC8fLw5GL+HHavXW2117MwmF46cU1Ix1NJxh2KoRyXOXQsmMrInnl5ebN28jop+1eWnr127Rpduj2EwGNi+dT11q9Tih7mjZZ2x2uZS0vtKEggJWsRbaedm63VbcoQoCxpfW3AT4DKKm3oduw/tZdTTj9KgVrUiF3qpm0coWxQrMWHWDxw7c5Em9WsxY9xzgIngThoeRYvQ+vy8ztTcoleHVnIGeMe+I+iNWcz4MZann36aFw1GPASBkCpV2Lp5A1279yQpKYnmLVoAEB4ezu9r4qhT0xQM8kSRNXtPmVmqmcksDLd1y+rOblqtju2VNhTWT1g6L7ReTfqO/4S9B07y0ANhBcc5eCXsKEG1VTWs1AxbavFpzxpTP17BR5OfZWXsbiZPX8WVK1cICQnhxRdfJDo6Gl9fX3n8kCFDWLx4sUxElVlZwKq/L9hPTiWpxPDhwxk9erRFGYS1cy3toaxj5dbdvPzxAp7s9gQfvGrdzu5ugFT8tmL9KgCmLP7cymhtqElbQHCQRcJ4+sgJ+XHClx/KUoMBY4dzz32hbF+1jstnzstE9UZaBod375OJ89NPP02W3oAgCISEVGHD5s30fKQ7SUlJtFDE0HWbNsiyiLw8kdpVazBw7AhZkvHE0Gh8fH3NiuwGjh1hVhxnqdWxvdKGwrg/OHJOScVQrfg5bFBXxwi5ZxO8vW/h5e3FsWPH6db9MXZs20TVatW5dvUKXbo9RlLSUcLDw0ySMM8mhFS+UUCvrCScgFV/X7CPoKpfH9h2hLD1npVG2EWABUGIAn4CGouieDb/2BzgCeAhURSvum6Lbmhh4szJAMyaMAzPCgWzi5ZgifzZInvSeZKcQGpfvHDKK6bWxiIcPHaGk+ev0CT/uNIRIjsnl/+L6kHjVs0RRcjUm8T9VatWY9myZTRr1kxea9mypVSvfvtKWGcwsm7PEfbnpZoRc8m+7avl65g0Ikqz85tEiCM7tWHG4tWyJZuj0obC4LH2LQGYPmMlcTHvFHk+R7Md9lYNOxqwlAG0VbN7uD+sEe99sAyA2rVrs2TJEkJDQ+XxatKqzLyqC9XU/r7qc+0lp5as0uwpgLvTdL5K/HnoGFGvz6BNeAt+nD63pLdTKiAVwb37xYf4entR0d961kqL/NkibcpzRr4/UfYAluzMfl+0AhGRU0eOcfnMeWo3rM/YmVMICA6SC9JysnPoNSSK5k1bIYoiBp0egOrVqhaIoUuXLSMkqDJ5eSIeHgJZegPHdh9A9BEL7DkjNU0uslPqleF2q+OI7p1YOXex/Jpd0diiOOCsGGotftqKockpmfwad4gXX+pB1aoCW7esp2u3nhw7dpwu3XqybNlSBgwYKJPfbVvWUTmkCjcNWWSn37LqagGY+fsW9k6fpZoStd+x1jylSeNrC/ZmgH8B3gDeBYYLgjABGAi0d5Pf4kdeXh4r1v/GI+06O0R+oXC6VuV5n4wZTNyct0lOy5QJJcC0BTH8X/8eeHqW550X+skkWylV8KxQnmv7DjEU8PKsgJdnBa5du8qAAeZWLQMGDCQmJoa6tWrg5VkBQ1Y2KSkpVAsu6KcreRJLLhdqgi8R4qnzljNtfgw6g9HUihnHpQ2Oonz58ngIAtvi/3HKfI5mO5Tj1YFQ+Zw6YNnqAvTtD5t5a8pPfDhjNRkZGfj5+TFy5EjKly/P559/zp49e8wIsJpoKrW5nTt3BgoWqkmkVX2uveTUHq2upbnuJJ2vEsasHDq/OIl6Neqw5bvVJb2dUoXPl5g8cUd9bPtCtTDkT33O5EVzyEhNk0klwLLZC3h8SH9A4J77GsvnKpteVPCswCH9PngRKnh6UsHLkytXrxWIoQMHDCAmJoaatWtRwcuTLGMWKSkpVKhd0OJOWWQXEBxUgOA/NWoIP8+cZ6YXdkVji+JAYWNockqmmQ2YtfgJ2l3fJCz8aSsJh/Q8O9Sk+a1atSrr1q3l8ccjSUpKolkzUzFqeHg427asp2rVEG7qjGTeMPB3whX6PFrLbE9ad+6kfWrVZ9hDUO15nyzNU5o0vrZgFwEWRVEUBOFt4HdBEE4B7wBdRVH8VxCEOsCPQFUgB5gqiuJKl+3YDRbHLsOYncX8d7Q9/qzBEV2rkkxaa58sdXU7ceYySz4aW4BkK7OwOw6fRhAgKzuHC+lpPNG7L0lHjxIeHi5rgJOSknjqqafYvH4tFXx8uXUrj6vnT/PVqIJ2YtJ+pAyv5DqhLI5T7hGxcNKGwlqlBVeuQkrKdZsNMVwNW3Y1ShmE1PFNaq0p+Uke/ucsr70Tw7Y/EihXrhwNGzbk/vvvZ/HixRw6dEguZFMTSiXR1NLmqrOvWtnizp07s3jxYpkwq5Gens7y5SZNY3R0tF3a3TuV6FpC0ukLVA4IYt+KbXdNlzd78f68zwDo8tTjNsfaS/6URNJW+2TJHeLCf2cIa9OcZbMXyM4LyqYXEd07cervwwiCQE52NpcupNOnd2+OJpliqKQBTkpK4ql+/Vi3YR3enl6IeSLnrlxi9LsFZRnSnqQsr0GvZ9nsBRzevU/OQkv7kx4LI21wplVaccMeu6/klEymfLRMPi65Mvx94KSZ28KwQV1p3krEx8fk0mAwZBEYGMzSn3+WZYAAy5cto2q16iDmymO7Pdya5JQTLPxpKzqd0cwJQoKWJEPpE28J1ki7FsoS0bUED3sHiqK4Efgb+ADoL4ri3/lP5QJjRVEMB7oDcwRB8LUwjRtOwAfzZtCwTgPq1azi8LkS+bOHxElEViooU2JoZBe5GcXL0Y/Rq0MrNickMmzKl0R2amPWqELSAQOMiOyAZ1YGWfqbMvlt0iSUmJgYGjW6l9/XxNGkSSjHjx/nkZ69uHr1GvHx8TwQarr1MmPxatmqTfl64nbuNZFuAXp1aGVWCAcwoGcHenVodbu9soOw9l5Yw8BurWXbr5LEsEFdzaqG1ZACvER+e/VoRcumJv/PnbuSqNH4/2j20DiOnTzPqFGj+Ouvv5g/fz5Dhgyhffv27Nq1ix07dsgZXiUkoqmWMAwfPhyDwWDWsEJ6PjY21uzcHTt28PnnnzNz5kyz55XnLViwgAULFhR4Ton09HQWL15stubdhAO/7LyrurzZg9MXzmIwGgh/oKVd4yXyZ4vESQR3y4o4AoKDZK1tRmoaYCKekt72iaHRtOnagUPxCRzbm8jAsSPMyLKkAwboPCCSTDELnUFPn0gT+Q1t0oSYmBjuaXgPsWviaNy4McePHeOxR3ty/dp19iQkMOz91wBYOXexvAfl65EK8gQE2nTtILtFgMm9YsDY4QgIZuc6AuX7UdZgK37C7XoIpRfwI12ayW4LEkIq+/NolzDZ8szHx4vk5GsMfOYZs/miBwzg2tUrAJTzEKjo501FXw8zMj75zf5yVznlPia+t5iFP22VSWrs2r/lY8rnLe3fkpOFlHVWF9qVVdhdBCcIQlegOSaHU1n2IIriZeBy/s/XBEFIA0KAc87dqhsA//x7lCsp11j93psuX0tyVejQooncAGPHviPMGPcccTv3ytnQ5LRMwhrU5sTZS6yN30/n1veZFZxJrhHZ2bl0f7A5LwwQ8Ai5D4PBQHhYGLGrfyMkpAo52VnUqVmdrRvX0/XRnmQZsxDI41rSX7w+pK/FjnJQMLOtLIQDiNu518yqzdGGF4V1hHi2Vye+WL6ODz/7hffe6G91rCurZ21drasLHTo+FMao8cvw8PAgfvdxOnbsyJw5c2jYsCHp6ely9jY6OlrTlcFSsZol/a+Pj49sVaYcJ80jZX4ttTfu3bs3BoPB7FwtSGsaDAZ5zTvV6UGNpo3CCfIPLOltlDoMfef/APjw52+cOm+3/pEY9QYMej0XTp2R2x8f3r2PF94bR8KmnXI2NCM1jTqNGnDxv7McjN9Dy07tzLx5P3zxNS6cOkNOdjatOj2IOHgAoZ4hGIwGmjRpwtqN6wn0DyD31i2q16zBmrW/0yfS9JnIzskhu6YftWtUZuXcxSz8aI5Zdle5X+WjlK0F5HFLZ89HRLTqCGHt/VA+ugKuiqH2SgLUPsDqAjUJqcnnqRDQCICbNzPp06dvvuY3nOXLlhE9YABJSUl06daDbVvW3fZ4vpWmqT9WZpm1JG1afr1aumZp/7YSJcr1y4LbgyXYWwTXHFgJvAo8DkwHemiMawNUAM47cY9uKPDyhxPw8/HliY5tCnW+I7fylaRR2QBD+h1MEodFcdv434+mrJu69fCiuG0cO3ORKkH+NK5X47Y04tXqbNu0njwEvHwrknvrFlnZOXgIAtWrVWP7pg0YjUbqCCnc19uUtVV3q1MSYSUsdbrTcoSwF4V1hGh7vynIxfz2p00C7OrqWWtfDiGV/Zkwug+zv1rDx7PWMPG9xdStW5fx48fz9NNPU7787VAhZVvBRFyHDBlisWOammgqZQcSUTUYDBZJqVahmpZsITAwkJEjR9p8Dzp37sy+ffswGo2aEgwl7jQ7NIPRyIkzp2hcv2FJb6XUQBRF9h09hK+fH+XtrKdwxAHB29eHhR/N4WTiUfZujad2w/qyvZn0+NSoIWxZEcdv80yxsUWHBwpIJS6cOkNAcBC17qknyyZeGvsqq1bHIogiQQGBAOhv6hAEgTr167J+y0aMBiMZlQT8jKZso1JPLL0GSVqhJOTSvpSw5AhhLwojm3AUJR1D1a2HLRHn736Io17jPJo0aUJ0dH+OHTueX/C2nqrVqvP773H06GFygejS7THWxK2iZjVPvERDAf2x0tNXi5Rq+fVa6t5pqXWyhN692rI9/h/ZE9jae10W7NBsEmBBEOoBa4GZoih+LwhCApAoCMLDoihuV4yrDCwGXhBdcL/3wLFEKkbUduqchf0gW4OHh4dL9HXly5Wjkl8lrqZcY/JI60TKGhwpglPqazu3vo/ITm2I27nX7PcZi1cT2akNm/46xOaERB5qFkpKxg2GTfmSGeOeMyOeIUH+TBjcm9//2Me11E946/+ew69BS3K9ffDyrEBWhfL4eJu0TlX9yiFmniX58sUC2dwBPTvg5+t9mwjrjew9esqMlKsh2aZ9tWIdOr1RllE4qwWyNXh7enHyvys2xzmjelZZwLY05g/gdjbCUsD6488k3pj6O3v27MHDw4NHH32UoUOHcs8992iuIWVbjUajLGFQtylWk1vQbjXcu3dvli9fzvDhw4GC7Yqd7ciwY8cOdu3aRXh4eAF7tMI6TpQV/HvuFK36F9RQC4KAh4cHHh4eVKxkUq9VqRSCn48vNavWoGGdBnh4eBDd40n8fP2oVaU6Xl5exb19l2DW4q8BGP/5+3af40gRnFJf27Rda5loRnTvxL3NwuTub936R7J/518cik+gSZtm3EjLYPb4Kbzw3jgz0hoQHMSTIwfz95Y/SE9JJfr5wdzjE4Knz21Zi/Rz+QA/LpHJxUuXzbK5jZqFc2+zMDP7swM7d3Mwfo9ZUww1tBwhpPejtOh6SyqGFmafy3/bTVhYI4wGo8LtoTI3b96kds1qrF8XxxORfdHr9Vy5msK2jbE8/2yE2Twhlf2Z+dEwAIuk1JmuDLFr/2bthv1mdmjq4j+1f7ByL6UNVgmwIAjBwHpgjSiK0wBEUfxHEIQYTFngB/PHeQG/AdNFUfzTFRutWruG064ejXojiX/+jZiX55T5JIiiyJWzF8nJznbqvABZOiNpmekA+Hp7FnoeR27lK7OeofVrFXicsXi1TKal4rehkV1kuQSY5AZtwhrSJrwhL/d/jGFTvmTn/iR27k+ianAAE4aInL+awbI/kghv1JBH2jShEgbIMd3OVhJ2ncEoOzlMHhlNclqmiQgbTJ3oenVoZWZ3pia1IUH++Pl4y/PZIs3OQp0atfj37H82xzmjqEAKOt//uIVjJ0zNSrT629+8aeDjmSv5+rutpKWlUbVqVbp3787YsWOpUsW6tlzKtkp+vlIWWE0YhwwZQnp6upzV1YKUTW7fvj3jx48vMNbeQjV7s7WW7NGkvRTGcaKsICwsjGnTpnH27FkuX75MYmIiAGfOnMFoNHLz5k2MBiOiKHIy/TSiKHLg2GH5/Nk/WpYIlC9fHkEQKF++PP6+lahQvjz1a9ZFEAQa1buHBjXrcU/dBjzcpj0A/hUrlWhRqIQPF8xEQCDiEeudzpRw5Fa+MuspdTWTHn18fVn40Ry5U9zrX34kk8nZ46fIGeKxM6dwb7MwGjUL5/Gh/Zk9fgr/7NnPP3v2E1g5mG79I1n80WTq1qhFcFAwjds2I8sTjLdyAHPCLnV/Gzh2hKxLBkhPSeVg/B6zphhqUiu9FklGYdDr5cw2lA47NGfE0C/nrWXqxyvkImDQjqESbLnmWNrnyy92ZOXaHfy8dCnVq1WmatWqstsDQIP6ddi2ZR06vZ4Df2+gd88mmnNJpBSQybByf/a+J/ZkbC3Zo0nQ8g8uzXZoVgmwKIqpQAEHf1EUZTNWwRTFFgFbRVH80dkblOAfFJhvEeMc9CsFH9bCYGa/53hjzk+8Et0Lby/HibC1W/mOOh2om2dI80oNMmaMe46vVqxj2oIYJo2IIiTInxnjnuOm3qQziuxkknGM/egrmYgO692FOtVCQICX+z9mtsZXy9eZFlbdX1A2yLCV4ZZlFArSrLwYKKzbgzUM7hXBpG/+45+jZ7k/rJ5T5rQE5S2xR7o0o/0DTeQAFFLZn5bNG9Cr/1fs27cPb29vatasSVpaGo0aNWLDhg3UrVvXbm2stXbFEpQE9uzZs8ycOZPx48dTr149eazU2rh169YyaV68eLHNPShJr73ZWmuEWr3/O9ElokGDBjRoYCpuHDhwoN3niaJITk4Ot27dYtOmTWRnZ3P27FlOnz5NVlYWly5dAuDmzZuk3Ujn1q1bXLx2GYA/9v9ldW6JCHt5eiIIEFgxkArlK+Dr48M9tetToXwFuj/UBc8KFejZvhsBFf3lrHVRcP7KBbKys2jV6UGHyLi1W/mOOB1oNc+Q5n3hvXHy4++LVrBs9gKZtL7w3jiMOj0iyK2UJYIL8PiQ/lQKDkBA4PGh/c3WUXZ/U+LRAX1lMm0rwy3NZ9Qb2Ls1Xm7YUZj3oDSjZdMGtH/ARDqVMdQS6ZPi7vb4f8xcH6yh0wNBxK6PpdVgU9ZdcnuQHqtWLgeVLtKglyleHv/3IuPfXsjMj4YR2qiWvDdp7Yc73K9p22YJjmZs7a0lsUSQSxuc0QmuPRCNSRbRN//YYFEUD1s+xY3C4v9+msuOsI48+tI0dn7/gVPndtQjWCK9Sk/gkCB/QuvXIm7O26ZBCvsxMGWOH+/Ymjfm/Ejczr2E1q/FOy/0Y9PuQ+Tk3iJ2x15SMm4A4OfjzYQhfeS9vBz9GH6+3maFbur92spwK/esLqQrzHtgD94Y2pdJ3yzjs9mr+WHeaKfMaQnqNpchlf0xGLIYNWY5K9dsJTk5mQYNGjBp0iSeeOIJmUS2bGmqgLdHGytBq02x2sZMiZkzZ8pd3ubMmSOfoy6is5fMKsdJsgylJMNeKIn5nUZ4nQVBEPD0NF1wFzYjrtfr5f+jdevWkZubS2JiIllZWeh0OlJTU8nLyyM5IxVRFLl16xbHTv8LwOpta63uTRAEypUrh7d3eSqUL0eIfzUA7qldn2D/QELvaUSbsBZ4lCvHQy0iKFeuHH1HDwLgjXmfFOr1aMEReYSS8KpJY+2G9Zm8yNwiTXqs3bA+bbt1ZOFHc2TdbsKWnRzZY2ohvn/nX1w+YyrDkbLL0jrK7m+W9msrw61soOHt61OA6JbVJhkSXhnZCz8/b7u1q1LxmF6fRXZ2rqzHtYf8hVT2N8ka8g6A3ged3pvde8/Qrk19/H2NIBrMxksuPQC/x7wrz6FubWyv/EA5TqnvdQRq+7TSTnqVKDIBFkUxHgfs1NwoGrx9fHhh0mssmDKDbQmH6RLheN96Syis08FXy01Z3uupGVQJDpC1wkMjuzCgZwf2Hj1lZj9WwLvXYCQn9xZVgvxZNPUV9hz+F4SC+1Bnr7X260iG21qG2FGfZGvZYqkhxu8b9mnP4+RiAenKe9dfx+g87lOOHz+Ot7c3HTp0YMyYMbcrirlNYhcvXmxRGwva2VtwTDcr+QS/+OKLZhleNZG2V3ogFbR17tyZwMBAfHx8zCQZ9soitIi5G86Hr6+v3BZb0nw7gry8PE6fPk1eXh6HDh3i1KlTpKWlcfbsWQBSUlLIycnhpi6LjMwziKLIibOnbO/Lz8/hvVhCYZ0O1ixazrLZC0hPScXLx1vO3gYEB9G5T09OJh6lc5+eBdaRMsChLZpyZM8Batavw7jZ09i3/U8EhAL7UGevtfbrSIbbWobYEZ9kezLFluzXXBU/HRnv5+fN1I9XMPnN/jzatUWB2/6WPHbN9w7z5i9l4nuL+fT9IZp7kCQO770eZbExB9gnP1C7Qyz8aasii1xLY3/a761UZAe3pSJlBc7IAN+RKM23cXo/P5D13yzkqQmfkrpjcZG0dPaQQpvIX/7giTNs3pMoF71JkKzRKgdUkteaMKSPrCGeNDyKSSOiQIQ24ffSs30reW+W9LxQkOwqXwsULHCzJ7vryHvgSLa4kl9FUtNuaj5X1GIBZZDyr+TDu+//zLyF27hx4wahoaG8/fbb9O7du8DfidJizGAwMHz4cItNJCSSmJOTQ7t27WRSuXz5chYsWIDBYGDkyJEWyWt6ejqJiYl88803HD16lEuXLvHHH38QGVnwS9Je6YFU0CZJJ9Rr25tJloi59OhG0eEKBw0PDw8aNjQ5WDRq1KhQc+j1eg4cOEBOTg4TJkwAYN/OP2nd6aFC78seUmgLUkH26SMnOBi/B7idvU3YtJO9W+O5t1mYnL1V63EHjB3OwLEjEBGpUb8Oz44fZdd3mLUstNb59mR37X0PHM0UfzvtfwB8+r75WGcUWxWWREvndXwwjF49WjEwqqMsTVDvUasxhqQ3lpoNWSOuySmZxK79W872WnvN9pB4tTuE1tr2tk22ZZ9WWuEmwBZQ2m/jvL1sPi916cfoT77jizdfLPQ81kicvRnOl/s/hp+PdwGXiKGRXeQmGJGd2tz28dUb8fP1ljXASu2uJHFYFLdNLnpT7025r5SMG0yY9YPsTSx3pwOz15WclonOYGTS8CintUB2JFvcq0Nzlq6PJzc318xSDIpeLCAFqRlfrOf69et4enoSGhrKxIkTadJEu3ACbhNESYM7evRoi2RFIof33HOPmWWZ0Wg0G6dFXr29vQkODmbEiBH4+fnRuHFjevTogbe3N9evX+fNN9/kqaeeMsss2wNrmt309HSZ1NvKJNerV8+d+XUySquDhq+vL+3bmwrxfv/9dx5//HGmDHqVuHPad2fsgbXvCnsTKUqHhR2r15tlbyO6d+Lw7n1kG7JYNtskT1Lalyl/l/bh4+srF7xZ21d4RAuWf/6d7EusfB3K+bTWKyoczZZLNeuNGpoTTGcUWxXW31Y6r1ePVgWyp+o96nRGdu05xtoN+/ly3lr8/LzR67PMxlkjrpYKzLR0wfZA/b6p17bkH6yGPfZppRVuAqyBjNQ0DHp9gW48pQm1G9anU+8efB2znnde7Ef1kMJlqZUkTk14v1qxzsx1wRp0BiPL1sfzcvRjsg44OS2TCbN+kDPAygI0a9pdiQw/EtGMSSOiCjg7KEm7Mtu8cMorZnMpf14Ut41p82P4ZMxgpxW3OSK3GD84kqXr41m8dAfPD+5mPk8hiwXS0m4y++s1zPhiDQAVK1bkjTfe4OzZs3z++eckJCQUIMBaVmWWmksoz9mxYwdTp04FICgoSLY3Gz58uKZkQkJAQAAA/v7++Pn54e3tjSAI+Pj4AHDjxg1efvllVq1aZVVaoQVrmWLJXcIaqbd3HVeipNd3FZTylNKKatWqUbNmTS5dusSEvsOYsWphoeZREjkl4QXM3BxsJVKMegM7Vq/niaHRZk0wpAYa9zYLkzvHWdPuGvUGFn40hydHDqZN1w5EdO9UgIhL59duWJ8Lp84AJrcJ9euRHl2REHJWMaEziq20mktAwaynOlOsbiBkjSj6+Xnz5YzhxK79G53OyMT3FjP5zf42O8xp7VH5mp8b9XkBXbDWXtWw9b5p+QdroaT9fouyvtMJsCAIdTD5AVcH8oD5oijOUY0RgDlAL0APDBVFcb96rpLClhVxLJu9gGFvjyl18gclXvv8A3av20L3l6ZyOGa25hhbWVxlUZjSvmzCkD4FCtgsQSKXYLIWkzqtLYrbZua0oFWApt4HmDet6P5gc7PM7tDILuj0RiaNMGVypSzyjHHPERLkLxNoSWYhobD65sJCnVlv0dhUef/e+z/Tu1fbIgWKed9vZMrHq7hy5Qre3t5ERkbyyiuv4JevZZTa/GqRUi2rMulnNSRyZjAYzArj1PZmloibt7fJj7R79+74+PiwceNGmfgCXLt2jX79+qHX69mwYQO5ublyRtneDKI9HeesoaQzlSW9vquglqeUVsTGxtKmTRuO709Er9Np6oFtkTFlm2ODXi9naQFNlwQtbFkRJ2drTyYelbu0bVkRJ8+hJMbWtLtScZpBr2fv1niatmsNIFuX+fj6yplcZQZYeb7k82tvYZyzYY1w2+NuYA1ahEndXEL5qISaHCvP08r8SmvpdEZZAiG5NDhSaKfeoxKSLlh6tLRXS7BEIO3NrJe0329R1ndFBjgXeE0Uxf2CIFQC9gmCsEkUxSTFmMeARvn/HgC+yX8sUUiBLqJ7J7MWljtXb0BENAtAjs7pCi2xh4cHY2ZN47NX3mbJup08+1hBL0t7dapqsgoFXRckqEn10Mgu6AxG/jx0nLXx+xk25UsWTnmlgE2aBFs6W6lphboBhkRupy24nckNCfInbs7bsl5YLZtQ7tWVXr9qqAm3h4cHHuU8uHQlze4KYSVSUm4w4d0fWBm3lxs3biCKIn379uXdd98tMNYRqy9rkMiZVpbXHp1uSEgIN27cwMfHh6NHj/Loo4+yadMmqlWrxtWrV3n00Uc5evQoYWFh+Pn54evry+nTpx3ap1LGMXXqVJkE23KkKMz74QqU9PrOhlpXbjAYOHz4MN9++22BAkpH53RVlnzcuHHMmjWLZ+7vwqrTCQWetyf7KY0ZOHaEnKWVoBX71d8LUtvko3sPsXdrPLPHT2HszClmxFPLk1cLSiKrdHyA29lh5WuR3CakPamlEyVRD2ONcBeVbBVFP+uo3EJaS53pdaY3b2ijWmaZX0f3qrRxU9q3SRluR7yBSwJFWd/pBFgUxcvA5fyfbwiCcBSoBSgJcB9gcX7HuN2CIAQKglAj/9wSgzLQqVtYgklX5ejtH1driTv17sHaWd8wfOrXRHdvT/ny5l3orGU+leRQTVatZY7VpDokyF9uTCFlkaV2w7ZIp6V11CTZls2ZWjZhzSqtOKBF8qtXr82li+cc+qCujP2Lt6at5t9//yUwMJCuXbsydOhQtm7dWijS5Ii3rbWmERIskRNPT0+8vb25deuW/LxEgpctW8aAAQNk8rthwwYqVqwImDrHZWVlmdmiWfMEVvoIx8bGmr22spBdvdO8hpXvueTKsXHjRtmpoTBaa1f/Pz777LN8/vnn3Lp1i5XzF/PUCPM1rJExZdJEGqOUL1iC+nshIDiIZ8aPJCM1TZZNbFkRZ2ZhZgm2GldIUFuXWdpT8w4RZvK/kqiHsUbw7ZUMWEJRCJOjcgu1bEEL1kiuWvdrzUlC2YhDOlf62VrWXN1OWfn6Sjq7aw+KIoFxqQZYEIT6QEtgj+qpWsB5xe8X8o+ZEWBBEEYAIwCq1Krusn1KUAa6G2kZHN69j+jRL9CoWThGgwGj3sCFU2cK9Ey3d05X4a1fFzKoxSMMenc2yz5+zew5a9lWNTlUjrNGHC2RUEuZW2uwh6DacqqQCtweiWjG5oREuj/YXCbTkmRCZzC1P3Zly2Nb6Nfpfr5Yeo5r19Ot3vbKzNTz0thlrF63Db1eT/PmzZkxY4aZntIZRECZrduxY0cBkmmNnFmSR0jw9fWVJRCVK1fm999/54knniApKYlmzZoBEB4ezsaNG6lYsSI6nQ6Af//9l4MHD8qEBwq2R1ZCy0dYgj3Z1bJAkosCZQytXt31MVSpK1+/fj3Dhw/noYce4ttvv5Xt7yz9vdma05VZ8m3bttGpUycWfjCnAAG2RsaskUNrz1n6XggIDmLszClmOmJbsEVQ7XGpyEhNw6g30LxDBIfiE2jV6UEzuYVBr5fbNpe0LLCoRMxZDRqUxBXQJLGW1rK3AYVam6xlN6ZuxCFBmlP5s6WMt9pHWGt9SygLJNkSXEaABUGoCPwKjBVFMVP9tMYpBZSmoijOB+YDNGoWbkOJWjhYCg6/L1rB3q3xcvvJz155h0Pxezi69xAH4/dwePc+uWjg90UrzCQSzrDFcQQBwUH0efEZYr79mSkjL9CkQW27zlP78SqzsNYyx9ZItaNWatb2IMFWMZ6kQZ40IoqHmodyPS2DqXOXywV5fr6m9sdSY42SwvsvDeSLpWv5dfVuwpvULfD8+k37GTX+R86dO4e/vz9PPvkkzz//PP7+jpN2e24bq10gwDYJVBNfLXlEeno6R48e5YknnsDHxwdBEKhduzZLly6lefPm8rhly5ZRtWpVdDqdPO7BBx+kbl3Te6Oc01qBnqXXaU92tbDkqqwUryljaHi4a2Ko+r2QfKWlFtc9e/akdevWbN26lR9//JHdu3eTkJAgy1YyMjLMPKbV8xVHltzX15fmzZtz6NAhhj34BAv/WmPXeUqnBkk3a02nK8EeCYO9sLYHMH0/LZ09H6PewDPjR2rOIWmQB44dwT33hbJ/524iuneidsP6BAQHFWjbfDfAlvxASfzAPmmGliZYTTItNZawZDcmNbB47/WoAoV4ln6293Xac7FQ2Ix6SRfPgYsIsCAIFTCR3yWiKK7UGHIBqKP4vTZwydn7cNTXUCpk6NY/EqPB1IHFaDDw6zc/cCjfm7HBfY3Jyclh79Z4fv3mBwIrB8t6KQEBb18fq/YzrsIL741n+7JVdH9pKufXL7B9ArfJquTHK9mTWfMEtiRZsPe4+nf1HuB2JlgaqzfkW8WI2vtQO0hMW2DSAPv5mghvcRfAWUJFX1NGdNGSbbz3hqmtd3q6jtfeXsWSmDVkZ2fTokULJk6cyAMPFE0Sb09mU+0C0blz5wJyA0uNLpTEV0kA09PTmTx5MjVq1KBr166y48O1a9cKtN4dMGAAa9aswcvLCz8/P3x8fKhQoUIBwqO0NlOTzqJmcAtLru70zDFov9+2/g8k3XXnzp3ZvXs3u3btwmAwsH//fmrWrAlAaGgoubm57Nq1ix9++IH//vtPvgCbOnUqkydPtvuCzJn47rvvaNOmDckXL5ORkkZAZduZTrUfr5QYCQgOsppt1ZIsaB2355h6D3D7eycjNY2kvQeBgu2PlfMoyfrs8VM4FL+H796fJeuDi7sIrjTAVmZTi/j17tW2gNxAK9ur1ASrSabkDQzmmV5LdmOxa/82a4MsQetnLdJZ1AxuYTPqpSFz7AoXCAH4DjgqiuJMC8NigVcEQViGqfgtwxX6X/WtIUu+hga9noyUND575W0OxSdg0Os5feQEAP8dOYFRbyLD1erU4tEBfdm9YTsA/x48wv0PtuapkUPw9PFCRJRNydWFEK6GIAi8+9NXvN53GLOWxDHuWdtrJ6dl8tWKdegNWUwaHgUCNuUIliQLssevwWjWYlg6vmPfEVkeIZ0f2amN7OGrRVKlsZOGR/HJmMGaz0nzyl6/eiMThvTG18tLHl/oBh9OhiAIeHl5cubsNVau3s3EKb9y6tQpKlasyHPPPcfAgQOpVKmSU9aypzWwkvxJWTs1qVMXmdnSBcfGxrJr1y569+4tyyCuXbsmF7yFh4fLGuCkpCQef/xxYmNjqVy5MoAshVDCmtyipIrI7rTiNS1okXzpmOQDLdnpGQwG0tLSePvtt0lISMBgMJCbmwtATk4OAJcuXSIiIoK+ffuyfft2ALZv3860adMAk9e09PfTvn37Enlv58yZw5gxYxjSujurz+y1OT4jNY3fF63AaDDJB5TaXUuwJFmQjhv1Blmna+1YRkoa5/79jxfeG0fthvU1SeqWFXEcik+QXSS09iGRdmnu6NEvAPDCe+PkscVxJ7O0Qcq46nRGklMybWZHXx/Tl8/mrCpA6pTNLl4Z2Uue21bW85EuzWx2cpO0v9Kc1sZZkluUVBFbSRfPgWsywO2BwcBhQRAO5h97G6gLIIriXGAtJgu0k5hs0IYVnKbo0PIzlB7VpuGSdU2brh0QEDgYv4dKQQEcit/Dvc3DAci7dYuNy1Zx+cx5ajesT70m97Js9gIGjB3OE0Oj+X3RCvnnktBJNWnVjPvbteb1WYsZ8VR3/Hy8rY5X2pdJBFNtT6aGpWyq7PGrN/f4VVqaKbXBkZ3a8NRrn3LszEUA4ua8bWZhJrlLSHOrZRHqeZXz9erQSrZis7eZR3EhrF4NDp44S9RzMwgPD2fJkiWEhoY6PI+tW/BarYFtQYvUKYvMli9fXsD6TL0P5Rx5eXlcv37dzO1h48aNVKtWjTVr1tCzZ0+OHj1K79692bhxI76+vjJZUqIwbhSulijcacVrWrD09wDIPtBgIsc+Pj7yxYnUaGL/fpMeURAEwsPDSUpKwmAwsH79es6fP09gYCDnz5/n22+/lT2mbXUkdDXat2+Pp6cn2dnZ/Py/uTzz2iir45X2ZQPHjqBVpwdtJj4sZVOl3w16vVmixtKxhC07ObLnADnZOXzw89dmdmxKdwnpHPV3Urf+kRzevU8m7Rkpaayct5jHh/SnabvWVAoyeXiX5q6oRYE9Prl+ft5MfG+x3S1+rZE6vT5Lcz31Pl4Z2csuizR7M6iWGmgoX6ctv2NXwFla7KLAFS4Q8WhrfJVjROBlZ6+thrWrVnXB24Gdu6l5T138gwNp9fCDbP11DVfPm1QZt3JMmYzrl66wcelv9BoShZePN/8ePAKYpA9SL/fmHSLMrrTtkWE4E1N//JKnGz9Er1c+YMd3H1gdK9mXIWJV9qCEpSI0JbmVZBTS8Xde6AeYSK9S8nDszEWa1K/FjHHPAdruEta0xsqCu2FTvuTYmYtUCfI3c6EoKRcIS0jNNGU4d+3aRYUKFQo9jyMSB2uZNCVRtHRcKjJTkx6tfSiJ4eXLl/Hy8sJgMMjkt0qVKuTl5VG9enVWrVpFv379MBgMGI1GMjIybL4Oe0nR3SBRcDWskfyePXvKF0NS173BgwcDJv/npk2b4ufnh06nIzExUS7AO3z4MLdu3SIqKoqTJ08iCIJ8cZWUlCRnf5VQ/426Wnu9c+dO2rVrx9I5Cxg4fqTVVvOSfZmIyOND+9sV07W+l9QNNCSvXunYjbQMTiYeJaJ7J/n89JRUjuw5wD33NZbn0XKXsKY1VhbcffbK2wDs3/kXl8+cl+co7V1RCwt72/wqH9WwVggnPTcwqiN+ft5y8wv1eta8ha1B0v5KGWBLsNRAwxpKgzyhOHBXdYJTf5AlW5jv3p/Fwfg9XPzvrExyU68my+fpb9y+LavLvMmOVevRZd4AoHmHBzAaDDIZPhSfwO+LVsjFBtZkGK4IJp5enrw4eTwLpvyPbQmH6RLRtMAYJWG11eHNHlhyk5B0vb06tDLr1mYpu+uoVldJkCUS/c4L/Yg/eKzAXCWt/5Vw/moKQJHIL9hHbu3JUiolDuHh4XIWDyjQMEPZ/EJrH+np6SxfvhxAzuB5eXmxadMmvL29qVq1qnxednY2AQEBxMbGyseuXLmiSW4Kk229GyQKJQGtC4t58+axYMECBg8ezKFDh0hMTMTX1xe9Xi+fV7VqVa5cuQJAUlIS58+f58aNG4SFhdG+fXvS09PZtWsXAQEBBSztlGuCdVcQZ6B8+fJ069aNLVu2MKT1o/y4f5PZ8+okhqXCMkeg9d2k1PQa9Qa5KFtar99LzxFYObiA57Dy0RaUBHnU+2/w3fuziB79AkkJBy3eQb1TYM8teHu6pUkODG1b3mvW7EJNIpXNLyztQ10AZy37aq79NTXhsNXkw16UBnlCceCuIcAXTp1h/87dPDlysFm17JpFy9m7NZ6KAf5cv2QK0EryK3h44FvJj4CQYG6mZ3Ar95ZMfmvWr0NYm2ayfKJigD83MzLJTEuX57cmw3AVej//DOu+XkS/1z8jZfsPBTIYRcmKakkKbMkipG5tysysVna3KFrd0Pq1iJtjymC0a3ZbUlBa9L8SRFGU7cGKAi1SqEVAbUEpcQgPDy8gMVDLDdTNJZT7kCr/AVl2kZGRgbe3N8HBwWbrSu9BuXLlSE5Oxmg0OjVrWxjSXFacHUoKZ8+eZffu3URFRZlpy6XufRs2bODatWsAZuS3fPnyGI1GfHx8yM7O5tatW9y4YYqhmZmZHD16lIiICAAyMjKoU6cOLVu2lAsyrUkxXIVPPvmENm3akJ6cyumj/9IgrJH8XFGTGFp3AbW+F5TH1iwyfa6VhWxa2d2iaHVrN6wvF701adXMKXOWZqiJoZafrq3b/0oP3bYt7zXzKFY/Suslp2SaFcop9/HZnFWaBXCW1lY+gvMyt4WVJ5QGZwdHcNcQ4LnvfSo7OSRs2ikHsOx8h4GbGWqnNhO8vLw4nXTC/JivD3m3blGvyb3cSMugSatmpF1PliUTF06d5fcfVpgVLkiBrriCyaRfvmNEp76Mm7GQ2a8/b/ZcYbKiEvFVd1qDgiRT3X0tOS2TNmENaRPe0GZDDnt0umrJxVfL14EAL/d/rFTofC3hZn4x5X333eeS+WNjYwsQUFtQ++gGBgZaJYLWSKpUDCX9LMFoNHL69GkqVKiAn58f5cuXJzc3F51Ox/Xr1+W1Sjpr65ZNWMcnn3xCQkICly9f5vz58/LfmESAJfKrhRMnzGNo+fLl8fT0xM/Pjz59+nDu3DmaNm3K4cOHZV3wrl275OJLLVcQV2PJkiU8++yzjO4xgLhz++TjhU1iWOq0BgW/F9QkuXOfnpxMPErnPj2tzm2vtE45/kZaBt+9P0suprtboeWna4sEqj10JemDRHC1zrfl+6tldWZpbXWntpLO3JY16cRdQ4Dvua8xh+L3cM99jYno3onDu/cRHtGCRdO/KDC2fIXy5ObrfiU7NBmCQFY+kflr/Tazp6rVqclDvbrRvH1bUi5fJSM1zSl2aIXRDdeoX4cHunfmi2VreaFPN5o2vt2C1FpW1BIZtebIoIY6w6xuX2xrvC0oxwO3bc+c5PPrqsK5TxetAiAy0jXZf0sEFBzzy7VFcrXml+aJjo42kzUokZOTQ3p6utkx9VolSTxLmoCXdoSGhpKQkEDLli2pW7cunTt35uzZs2zcuBEwFbuZyjvMf5bcICQIgkBubi65ubmcOHGCq1evkpGRQbNmzYiIiKBevXqyd7RWh7/CoDDZ/dDQUCpVqsSNGzeYPORVpi42fVfYSmJYitdS5tgelyB1ljlh0072bo2nabvWmiTV0ay0crxUCAe32yIXFWWxcE4ijb17tS3gpwuWs5vqbGlh7NOUsKcAztJaJV1YVtIE3FHcNQRYqZfasiKOvVvjObYvUTPzK5FfLXj5eMsE2NvXh3pNTLfGju9P5Or5S5z/9zSnj5zgwqkzVK5RlQFjhxe5g05hb7k1ad2UPZt28Oj/TePy5u/sOscSGbXmyKCGJf2tJdIc2akNO/YdkaUStgioej6d3og+Kwud3nq3N3uJrasK51ZvTwDgiSeecNqcSgQGBjJypLYe0RqptebkYG2cGpIHsNLD1dY5nTt3Zt++fWZd7rTWk15DYdoy24u7wdmhKHjuuecICgrCYDAQGxtLTk4OZ86cISMjg3LlynHr1i15rKenJ1lZWQXmUMqxPDw8CA0NRRAEuQAyISHB7DEiIsKqlZ+9KGx2f+jQoXzxxRfs3/4nOTk5dmn3LcVra44MajginZO6uA0YO5xu/SPtIp/K+SK6dyInO4c6jRrY/J6yl9i6otbl4KbtTpnHEpTkUdLUKmGN2CrJsTUSaE0ikJySyXOjPjfLPtuSFNgqhHNU1lFUCUNJE3BHcUcSYK0PqWQJ8/uiFSRfvoqnt5c5+RUEEG03SpLIL5gKE47vT+Tx5/rTqlM7Ev/ay96t8fQaEoWISMP7mpBtyGLlvMUc3XuICV9+WCgSXNhbbt0H9OX00ZPsXL2en9f9wTOPdbR5jrU2x/aSQfVYW+fG7dzL2vj9dG59H6H1a9kkoNJ8EqF9Ofox+Ryp+YUW7CW2riqcSzp9wanzOQJr2U1rTg7WxklQ+vSqPVxtEY8dO3awa9cuWrduXeB5reIn6Za4JQ9it4TBOdC6mJAujubNm4e/v79MUsEkFTMajeTl5QFokl9AzgoD5OXlceHCBW7cuEFERAShoaEkJiaSk5ND//79OXPmDKGhoSxYsIBDhw7RvHnzQtujFTa736dPH+Lj4zlw4ADPhHUk5uRum+dYa3NsLxlUj7XVjnnp7PkMe3sMAcFBmg0xLM2fkZpGwqadci1LYOXgQnkYq+GKWhe9MQsrhhwuhzViqybHlkigFolWdodbu2E/vXq0MnOVsJZN1iqE01pPknVsj/+HH+aOtkhuy5qEoai4IwmwNaNxSZKghFS8Vljs3/EX42dPY/uqdYApuFSrXZOFH82hRn1Tw7uD8XtsGqRbQmF1wwHBQbz+xYckHz7C8GlfE/XIg1SoYP2/vCSKxhzJGCuzuEpCaw9ptZfYSi4VzpZB5OWJRXZ/KAyUxXFasJccWGquYa07nK25rT2vfk4q1rN0S9wtYXAeLF1MxMbGEhMTU2C8Xq/Hx8dHluDYC6kYDqBt27bExcVx4MABfH19zbLACQkJJCQk2K1tV6Ow2f3AwEAWLFhA27ZtMWbn8EfsRjr2ftTqOcVdNOZoobUyQSR9Vw4cO8Ku5k32ElstT2JnwJolnSuhdGfQgr23/rWaa1jqDmfPvPY+L2WI127Yz8Kfthba9u1OgyDakfUsDWjULFyc9ftPNsdlpKaxZtFyBAQzX0Zlx55D8Xv478gJGoQ3xsvbm2P7E/Hx9SUnJ5vcnFyEch6It0yZDB8/Xyp4eZKZmk4FrwrkZJmM+r18vWnd+SES/9zLzYxMPL29yDZmUSkogE9Xfk+loABmj5/C3q3xtOjwAE3aNCuxBhkpV64zNKIn/bq1Y8WnE1yyhr3ygqLqayVrNUmH7KomF8p1nHFBkJeXR4W2/WnQoIEmgXAFtDqojR492i4iYEl+IBEj5TzqbKGr3BTuRpeGNm3a7BNFsY0z5goPDxd//PFHq2Ok97hz587s2LGjQNOT5cuXc/XqVbZt28aNGzeoXr06V65coWLFipQvX17WeFeoUEFuaiIRY0EQaNasGYcOHQLA19cXX19fypUrx9WrV2UZRe3atZkzZw4zZ85k165dDB8+XN5fSTXIuH79Oo899hiAWUGcM2GPvMAZ2lopQywRXldpdZXrOOOC4MkGbckTRW6l/+qE3dmGpQ5qn74/xK7sqCWPYGkuaR4t2YEr3BTKmkODsyD4P2Uxht5xGeAtK+JYNnsBw94eA5g+hBHdO/Hd+7PYuzWegWNHYNCZshT6GzflzK8h37anXPny3MrNlYs4DDo9Bp3puZysHCoFBXAjLYMsvRGd4vxso+mW3420DBI27eSpUUPMTMZLshCgcvUq9H5+IL9+v5QTZy7RuH5Nu891VDcrtSa2NNbecZag1Atbc58oKiF2tgxixz6TT3S7du2KNI8jJFCZmZVIhL26Xkveq1pZVkeK6IoCt0bX9VD/36Wnp7N48WI6d+4sE9KIiAg5c1ulShX0ej2ZmbfvoHl5eZlJICSXCFEUSU1NlY/r9XrZLk1yBgF48MEHqVevXgF3kpJElSpVqF+/PmfOnOGt/sOZvmKB7ZPy4ahuVmpNrDXWnjG2IBWBK5tqOLpXe1Ba/YPtJYLqDmqW3Bkszac8H7DYjU1LN+sKKUJZ0+cWB+44AqzV7liqcm3TtQMiIpfPnCcgOEi2LVPiVm5ugYKO8p4VyM3Owc+/ElGvPs+KOd9RvV5t/CpVlMf4+Pli0Olp0rqZvIfS5J/44uTX2LFiNY+8NJVz6+bZfZ4jullla2JLY+0dZwlqvXBh9moPnC0F+eDbXwB45ZVXijSPI+TSng5qykYYUjtaKQOonEM5j5oYqTOFzpYi3I2Z35KC+v9O+fch6bvvueceEhISqFOnDocPHy4wR1ZWltxOGG7rfn19falUqRI9e/bk4MGDGI1G0tPT5Y5xUtyVPKJL2wXPL7/8Qps2bfhn934Mej0+vr52neeIblbZmlhrrD1jbMGao4Qzi9dK0/efEvaSS3UHtSlvD7A63/b4f5j50TC52ExLTqDsxibZpWkVqDlTinC3Zn7twR1HgJUfOomIRnTvRNN2rc2uRDNT0zn1z3EunDyNLvOGLGEAzMgvQN1GDfjvyAl0mTdYMec7bmZkcjIxibMnTsljfCtVxKDTU658uQJXztauqovLLkYQBCZ+O5N3Boxi9pI4xj5r31W5I7pZZWvioo4rzH5KW9c3JXYlHgdM2bGiwBFyaQ+BUDbCkOzLtAi2Wu4gySqkcw0Gg9wlztq60vktW7bk22+/Zfz48dSrV09zrAStrKSbELsG6v876e+sc+fOtG7dWv7d29tbti+Tsr9K2YNEfiVIUomkpCQuXLhgljHW6XSydEYL1v6/i/tv4c033+Tjjz9mYNMurDq1x65zHNHNKu8aFnZMUfZTWrO2zoS95NLejKmyGQZg5uKgPF+r6G3qxys0C9QsrS2d2/HBMN7/LIaZHw0jtFHB4jcltDrSuQmxCXccAVZCSYalK92M1DROJh6VfQ/BJHto3r4tZ47+y/VLV820vgCeXrc7d1WpVZ2bGZlUq1PTLIMcWDWElCvXCG3RVF5HXWgABa+qi7PPerOH2hIe0YIJsxYz6ukeeHt52jynKO4PzpjTkXNtzesqf197kJtzCw8PjyLPY6kDXFFIQHh4OOHh4XZ12lIXvEnEyGAw2JWZls6vV68eZ8+eBWDOHOveo5aykrbWKizcBPs2lH9vyosPQH4MDg5Gp9PRsmVLdu/ejZ+fHz4+PiQnJ8vZXWUr5OrVq5OZmSm3S/b09CQ9PZ3atWtz4cIFOQOspWG35hRSHNnip59+ms8++4xbOblsWraK7gP62jynKO4PRZ3P0fML63FclqBFLotKCtu2vJe2Le9lYFRHTQ9hJdRFb/YWqCnPbdK4FsdOXATg95h3re5NTfiLw+mhrJDsO5oAa0HyAK5Rvw6Xz5zHy9ubLKORv7fE4+ltys7lZOVQKTCAG+kmb8rc3FyatG7GsX2JePl48+TIwQgIiIicOHiEI3v20+zB1nR6ort85awktqXpinvK4i+IDutEz1c+YPuCacWyZmmBWn8sHSsOQiyKIn5+fi6Z2xESoCZ3Uve40aNHy2TPWvbWYDAwfPhws2IkiRhJGWBr60rSCmUG2BYsZSVd5fbgtlOzDOUFUKtWrdi/fz86nY6srCwOHTqEh4cHOp2OSpUqAaYCOJ1OB5gutJKSkggLC6Nz586kp6eze/duzp8/T/v27Rk/frwsp1GvpW7RLaEknD927NhBhw4d+Hzi+3YR4DsJag2ydKwsE2JwjBSqyd3Cn7Yy9eMVfPr+EEIb1dK0I1Oeq9MZmfxmf14Z2Usmh8pucvac2/ORlnIG2BbUhL84nB7Kip3aXUGAlVet3fpHYtQbMBoMePl4U6dRA+a++wm5OTkYbpoKMqrUrM71S1dk7e/JxCTZzuzYvkQqBvizd2s8w94ew1vzPtUMAGrT88JecTsbPr6+vDBpHN9Onclficd5sFmoU+d3ZZa1qHOr9ceASxpeqHH8tOlKvU0bpxTzF4AjJEBJ7iRbs+HDh9t9rposS7Alt1i+fDkLFizAYDDIzTpsZX4twdXaULedWkEoL2Akq7N33nmH9evXc/78ef78809yc3PJy8tDEAT8/f25cuUKycnJACQmJuLvb/rMXr58mXr16rFgwQKGDx9uUTpjj4a9JHTC3t7eNGvWjMTEREZ07sv8HaucNrcrM6zOmFutQQaK7Q6mK+EIKdQqjpv8Zn+7z5XIsrVuclr4ct5apn68gslv9qddRKjNzK8lFEcxXFmxU7srCLA6G/tvYpJMYJMvXuVGWgahrZpxfH8iAAEhwVy/dIWa1WsQERFBjZo1uXzpEkcq+lMrvCGVggKo2+ge0lNSWfnNYjx9vLiRlmEWXEprAQBAnxeeZd03i+j16oekbv/Bqd6KruqipjW3o4TYkv7Y1ZrhD74z2fZMmjTJJfM7QgKUpMIaobV1rj1QW6k5Mr4kpQelrfiqNEDtCiJJEnx8fFi/fj2jR4/mn3/+YevWrYiiyIkTJ6hbty4PPfQQAQEB6HQ6du7cSXZ2Nn379uX06dMMHjwYo9GI0Whk+fLl9OzZ06ygsjT/P3z//fe0adOGy6fPk3z1OiHVqjhlXldK4rTmdpQUW9Igl3XNsCOkUEnuLBFae861hcLICEqL9KCsOE7cFQRY7QwhOUIoP7ThES14f9hYMtMyCAsL44v/zaJZ+P3AbWs0gF27djF58mT8alQ20xErdcWllfgq8e7yBbzUpR/j/7eQWROed9q8rixEU89dGLKt1gkXR9OPDbtMlfJSBqwkoSQVjhJaRwmJkjT17NmTpKQkevbsadf40kp87lYo/1aUTVWURXIrV66Uf54+fTr33HOPXFAs2ZzFx8fz4YcfkpiYKDe4kJCUlGTWRru0Y/bs2YwdO5bnIx4j9uxep8zpSkmc1tyFIdzq5E5Z+L5zJpTkztFMpyPEUC0jGBjVkb8PnGRglOWOrmVFelBacFcQYCWUzhDSVexTo4awZOZcMtMyeO7F55n4+kTKKbKigiBQvkIFcnNyCA0N5fuF35PmK/L2/43jYPwe7n+gFXUb3cO9zcLKzJVw7Yb1iX60PZ8vXcvbz/ejSnCAU+Z1ZSc59dyl2fVBibSbGSW9BU0Up5QgNjbWYstjrfGOorRkj+8GREdH4+PjQ+fOnc0apFy4cIGBAwfy3nvvUb58eW7duiX7qQuCgIeHB02aNGHu3LksWLCA3NxcEhISaNmyJfffb0o2qIsxSzM6dOiAt7c3RqORr9+Zzv99+FaR53TlnUOtue8G1wdXwpWZTjW5ttX2WOscR1BassfFibuCAKuvcp8aNYSfZ85j6ez5GPUGnhk/kmxDFmFhYYx5dTSP9+yJl5c3K5Yvp2q1avj5V0Tw8OD0vyeJiooiKyuLjVs3M23BbH77cRkGvV5uvlGWCgEGzp3JqiYd6DpyModjZpf0dhxGSbRtLgzy8vLw9LTtuHGnwdFsc1EIuTt77Fqo398hQ4Ywb948WdcdHR3N1atXefXVV3nsscfw8fFh+fLl1K5dm7y8PPz8/Lh27RpRUVEYjUbZ3SEoKKhAh8GydAGzfft22rVrx7off2HU+284xemlOFGapXp3OwpTvFYUQn43Zo/L1qe1kOjWP7JAn3MRUX7MSE3j1JFjTJkyhQoe5fD29uH4sWOmYJ2dhWeFCiRfv06/fk9z4sQJfH198fbxpnXdUJ4aNYQnhkbb1Ue9tKFc+fK8+r8pJP13gaXr/yjp7RQ7ktMymbF4NclpmbYHFxJZWSY/1MaNG2s+LzWUsOSB6kw4c6309HTmzZvHvHnz5PmszS+RW1eRm969e1t0CnCj6LD2/kqEdty4cfj5+eHl5cWxY8fo378/KSkp+Pv7k5KSQs+ePeX4GRwcTOPGjeW/ibL6/1e+fHm6d+8OwMBmD5fsZkoAGalprJy7mIzUtBLbg9RQIjnFdXHc2WtJ8xz/96LZfNbml8itq7KzwwZ15dP3h5T6wjVn4q4gwAHBQbL+V/qgSqS1c5+ezB4/hbRzV+jYsSPBwcH8+uuvhIaGcuLECR7v+RjHjhzlse49OH7sGE2aNGH9lo1UrVqVYC8/vMtVkK+iy1L2V0LnPj0Jv6cOz0/5iry8vJLejtNhjeRKGmLJEcIV+HiRSRf5wgsvaD4vZb4kT1VwDlHVmkNrrcJCKqBbsGCBPN/y5cv5/PPPzTSixQVXE+y7HRJJjY2Nlf+moqOjGT16NACrVq2iUaNGVKlShZiYGEJDQzl+/Dh9+/bl6NGj9OjRg2P58XPTpk1Uq1aNihUrUqFCBXn+svr/N336dAD+v717j4u6Sh84/jncUQlEUzCJyi1NE8xotLQ0XVfTNMuM3E2rn3nppq7tWmvbKrZZrpuZ203JarEt0dSkMi+Vl6QVEm8lpGU5wXpNAZWbXM7vj2EGBkFQhvnO5Xm/Xr1iZr7znYfvazw8c+Y5zyk8VcC36TsNjsax6ktwrd+uWjtCGME6c/nOe18CjklS6zpHzddqbMxTp79jd75XF65h2rNJvLpwTaPOfzGaOsF2RV5RAgHnlkFYk9aVbyax/cutjHt0IlprfHx9iIiM4JM1n3Ln0GFkZmYSExMDWOrTPtuwjjZt2tjO2zKgOYeL8oz4lRzm6eWLGXPD73h0diJv/nWC0eE41PkWyjmjhvitTy2LfHr27Fnr47WVBjSmr+/5zuHI9l7WFmp1nU9qcj1PzfeUNWlduHAhJpOJ0tJStNa0bduWNWvWMHToUDIzM+nWrRtgGT/XrbMfP5s3b+6Ubz+aWnJyMvHx8Uy/52E+/iXD6HAcpr5Fcs6sIS4vr0D5nNuxqLEbPdRW+1rXORzV3sv6/GGDb6xz4wxvrMl1NocnwEqpt4E7gGNa6+tqebwvsBr4ufKulVrrJt+Roa5/qNbb3TvHAuDj60txYRGRkZF88MEHxMbG2o5dunQpkRERlOuqmVJ/H/f/DNHy0lbcNmIIiSs+5dlx93BZ21ZGh+Qw50tynVFD/OvxowC2ma6aaqt7vdi+vvVtFnGxNba1JbNhYWHEx8fbzSZbF0dVr+msGZfRJDG/eHW9L+Pj49mxYwfl5eUEBATg5+dHYGBgreNnRESE3TdNfn7uP34CdOjQgRYtWnDmzBnmT01gyrwZRofkEPUluM6sIdZAm9bnJoKN3eihtmS3rnNcbI1tzWTWep6aM8yPTxhM8+ZBthZrrliT60mJudJaO/aESt0KnAGSzpMA/0lrfceFnPfqmM765U/fc0iMtQkt96dr+OX4BwZQWnKWU2dOc/uAgWRmZtqOsc4AX9IihIDgIHx8FHtzc9x+BhigvLycUZ16075tK75f9S+jw/EYvjfcg1KKb775pknO74yELikpybZAqXoyW9f9FxOXsxLT88XsiuLi4jK01g7ZQaVz5856yZIljjjVOQICArj88stt2xgfOnSIO+6445zxc926dYSEhBAUFIRSiuzsbI+YAQbLbo833mjZ1nbVT2kek9y7iqGX30DPG6/hv1+86NDzOiOhm/vKR0x7Nol/PDfGLpmt6/6LictZien5YnZF6pK76xxDHV4DrLXeApx09Hmb2tkARUBwEKUlZ8k7fYpBv/0dmZmZdO7cmV27dtm28RzYfwC/HDRTUlhEcUERvxw7ZHToDuHr68vUV1/gh18Ok/TJJqPD8QjWma6oqKgmew1n1E7WtUDpfAuXLjQuR9Ynn4+7LrZyB8HBwQBkZ2czZMiQWsfPAQMGYDabKS4uRmvNkiVLPCYBVkrZPlSN6trX2GBEgzmj9rWuBWbnW3h2oXE5qj65Pp60WM6oRXA3KaV2K6U+U0p1MSgGO0eOHyU1NZVfDpq5/be/Iysri2uuuYbly5cTHR1Nyicf06lTJ77//nvi4+M5fvw469eu4+P/fGh06A7Tc2BfrurSkXGz3rA1sBcX7/3PtgBwzz33NMn5ndVBoq5k1pHJt7MSU3debOXKzp49S25uLj/99BNDhgwhKyuLTp062cbP5cuX242fp06dIjMzk4SEhCb/0ONMkyZNQilFcUER2zd9bXQ4oh7O6iBRVzLryOTbWYmpJy2WMyIB3gFEa61jgX8BH9V1oFJqvFJqu1Jq+4W2WWlIexbrMTkHDjJ/6kwmP/o4Z0tLKS4p5tprr+XjTz8hol0kFWhCQkJITk6mU6dOFJcUU4Fmz6EDdrVRrtASprH+/v7rlJWXc/ef/mF0KG5Na82yDf8FOO/uZ43hrFlTZ5DEtGlUH0Nzcxs+LjX0w5X1OLPZzJNPPkleXh4lJZae6uvXr6ddu3ZorYmMjGTFihVcc801FBUVUVJSQklJyTkfepzZFrCpbNiwAYCEMU8YHImoj7NmTZ3BkxJTZ3F6kZLW+lS1n9copV5XSrXWWv9ay7GLgEVgqQG+kNdpyBaP1mO+3ZZh2x75eMBZVqxaRYCvH5HtIikvK6eiooKys6W0jYhg2bJlKH9fTof60nPEwAt+TVcX0jKM+yY9zNIFb7H3wC906XC50SG5rY0Z+wAIDw9vkvM7squD8EzVx9DOnRs+hjZ0EaP1uIyMDFJTU4mIiCAlJYWQkBDbgrjycssYGhYWxocffkhxcTHHjx8nICDgnHO76uLJCxEWFkZUVBTZ2dk8eecYXlqdZHRIog6O6uog3JPTZ4CVUhFKWfYZVkqZKmM44ejXqW3zi7qOuePBey1bA08aS9Lb73D/qN+TmZnJmfzTFJ4p4GzlZgblZWVkZWXx0EMPkbF3NwkPTibnwEHAMvtbVFjI3RPGUFRY6NazwL9/ciKtQkP47cQEo0NxW0opCgvPNOlrOHrW1BNm34RjNLQkxXpcfHw80dHRZGdnc99995GRkUF5eTmnT5+moKCA0tJSALKysnjggQf485//jNlsZvLkyZjNZsDy/isqKmL06NEUFRW59ftw1apVAOzfuZczp04bHI2oi6NnTZ25KYdovKZog/YB0BdorZTKAWYA/gBa6zeBe4BHlFJlQBFwn3Z0Kwrs27Pkn8zli2UfYxpwK1tWr0Oj6XPnINI3bKH/vUOZ+/h0cg4c5L1/vkHnuG5kZWURHx9Pr/59MZlMFJ7MJ//UKVK3biU7O5u4fr14/uEnyTlwkP/9ZKbPcMtX3EvnJxLbuwe7t6aRtX0Pf371ebfcHEMpxfT3XuPJoWOYtWgZfxt/r9EhNcivuad49+ONPDj0Nlq3dI2vgVq3bm10CA3mCbNvwjGqt8yr3qEDsG10MmjQIDZv3sywYcOYPn06ZrOZ8PBwwsPDGTlyJFFRUQwYMAB/f3/KyspYv3492dnZ+Pv7M3jwYObMmUN6ejpms5nbb78dgMTERK6//np27txJcXExkydPNuYCOMD06dOZPXs2f4jtz+qf040Op0Gsfyv73zvULf92Gc1VW5eJ2jk8AdZaj6rn8VeBVx39uudjLU3YkLzaNmObtX0Pu7emAdChSyd2b02nQ5dO3HrnQL5c8QlHsw+R+sUmDh85xE9799udL/uHgxzN/h/NLwnh8MFsls5PpFvvHoyaMp7ioiJ2b01j99Y0Pn13GUHNgt1yMLkmtgsDb+pGwsJlTL1/KC2aBRsdUr3Ot+mFs6XuygKgXz/3+WrNurmFdfZN6nEFVH0wKioqYvfu3aSnW5K5zMxMUlNTAejYsSPp6elcd911DB8+nAMHDpCdnc3bb79NREQER44csZ2vtLSU1atXExMTQ2hoKDk5OSQmJmIymRg3bhwZGZaNJPbu3UtSUpLb9my+++67mTNnDuXl5Sz719vc+8T/GR1SvTyhjM9IwwbfyKat3zFs8I1GhyIawCu2Qu5/71Di+vUm58BB2l1haUl1VZdrbCUSN91+G5FXRHHi6DH+dv9jHM2uam12MOtHAPz8LZ8V/AP8CWoWZHf+kJah7Nqaxg97MvndfcO5a8JoYnv3oLioyPBtIhtj/L9fx8/XhwGPNPk+JQ7x4NDbmDN5dJPu7NZQyz+3rAAfPny4sYFcgLCwMIKDg+22N/Z2UhZSVeYA2JJfk8nE1KlTmTRpEn369KGkpIR27dpx/PhxHnvsMbuE99Qpy9fBPj6WPzf+/v6Eh4ezZ88e8vPziYmJISoqivT0dDIzM3niiScwmUxord1+keemTZsAWDL3NZrgi06Ha0jpoKhbyppvWLNuBylrmqbvuzty5bIQr+jUHRrekinzZtrKINI3bLH9HyB5wWIOH8zm8MFsu+cppWy9XMtKywAoPVuKed8BAApOneaSlqGcys0n8oootn+5la49byCsVTi7t6ZxbVyMWw8mAUGBjEuYxht/fZF1X+9k4M3XGx3SedW1s5sRpREffPYVAFdffbVTXs9Rai6sq22DCm/aTU3KQqrKIap/CIiPj7f9vHbtWpYtWwZYNsCw8vPzo6ysjMLCQqCqL3ZpaSknT1a1ij958iQ5OTlER0eTmprKDTfcQM+ePVmwYAG9evVy60WewcHBdO/enR07dvBQj8G8m/6Z0SGdV107u0lpRMPUtqiutg0qPGk3tfq4clmIVyTAUPUP27o4bcvqdXwwfxEAY5/9I//7yWyXADcPaUHB6apFTKGtwyktKcE/MBAfXx9yj/5Ki9BLMA3ow+fLUmjV9lL6DB9kS3aLCgtRKLcfMAaPGclnr7/NyGkvkf/VEirXL7oVI0ojfs2zvHfc7XrV3C65tgTQm5JC6bRRJSwsjAkTJtg+ABUVFZGYmMi4ceMYPXo069ev5+jRo7bjQ0NDOXGian1zcHCw7d9DYWEhgYGBdOjQgczMTEwmEx07diQoKIhhw4aRn59PRkYGU6dOdfsPWYsWLSIuLo4TR45x6Gcz7a6MNjqkCyalEQ1T21bJtSWArpwUOpord9rwihKI6v15rf+Qi4uK6Na7B3knLDMRXUzXo3yqLkdxUbHtZx8fH8pKzlJ4uoD8X0+Se9TSse1M/il2btlG89AQvkvbQXCzZoSGtyQ0vCXBzZrxwfxFblv+UN305EUUFBXz6OxFRodyUYwqjWjRooVTX68p1NYNwJt2U5P+xBbVS0GsH4Dy8vKIjo7m5ptvZvjw4ed8xV99ltfaDq2wsJDCwkJ8fX0pKSnBbDYTERFBcXExS5YsITg4mLCwMDZv3kxqaiqbN2929q/aJF577TUAJvYdYXAkF0dKIy5ebRtUeNJuavVx5f7EXjEDXP3Ta/UZ2l1b09i1NY39u75jb9pOu+eUl5XZfq6oqLDMBisF1kG+8ucTR44BEBIWyk+Z+xh/63AmzPozxYVF3DdlHJ1N3Uh4cDLxk8aSmb7LLWeEI6Oj6HvXYBatXMMzY0fQPuLiOhsY1aWhrtKIpnLouOUPf3S0+8301FRzRriu+4Rnqz7rb/3gs23bNsxmMzNnziQ0NJRjx47ZPad6QlxWbTwFKC8vRylFQUEBBQUFHDlyhPbt27N//36GDx/Oo48+Sq9evbj++utZuHAhYN91wt0+kPTo0YOAgADOnj3Le/98g/v/9MhFnceoUoS6SiNE/WqbFa7tPuF8XpEAW5Ne04Bb+eTdZBSKPncO4tv/ZrA3bQdHzP+zHRsc0pzQVuEcqSyH8PHxIahZMIVnCmzJr4+Pj62erWWb1gQEBnA0+xCbP1oLwAsTplFSVExcv958v30Pu7amccScY+tA4Y4DydT5s9i25nMGPDqLrJULLuocrtSloSl9tHEbAGPHjjU4EiEcw9ohJDc3l+TkZOLj47n++uvZt28fZrOZNm3aAJaZ3quuuopffvmF4uJiAgIC0FpTUVFht726NRkEaNOmDZdddhk7d+4kJycHgDlz5pCfn09OTo6tT3D1rhPu+AHsq6++okePHiQveIvfT51gWxR4IaQUQQjH8YoE2Prp9f15C1k6PxGArO27Katszm6dxQ1u3oyi0wVERF0GgJ+/P2WlpZbkt1KzFs156NkpvPv8AgpOnabdlZfzl4X/4NN3l5G2YTM/7d1HSVGxbVFclx7die3dg/v/NNE2A+yOlFJM/ddsZo//E0s+2cToO/pe8DmsJQiu0KWhKc19dzUAvXr1MjgSIRzDOuO6ZMkS2327d+8mPz8fgJCQEI4dO4ZSiv3799O5c2cyMzPx9fWlqKjI9hxfX1+aNWtGXFwcGzduBGDgwIE88MADTJ8+3dZlIiIiwtZaLSoqir59+zJ8+HBuuOEGty298fX1ZeDAgaxbt44xN/yO93Z+fsHnsP79cNe/I0K4Eq+oAbbSWGZw210Rxa6taezb8S1gSXwBigosq5V/zrT0/bUmyNUVnilg6cuJFFTu7lN45gwvTphG/slcmrVobjuu58C+xPXrzd60HXS/tSedusdw98Qxblf+UN1Ng27jys7XMO65Nzhby7Wpj7UUwVU2qWgqh07kAZY/eEJ4GpPJBFS1RAM4fdoyHpaWluLn50dmZiaAXfIL2HaH2759u+2+jIwM/v3vfxMdHU27du0A2LdvH7GxsfTq1Yvs7GxatmxJdHS029djP//88wDkn8jlp737Lvj51skcd/47cjHSv7B01bkyuo3BkQhP4hUzwFZ3PBhPcLNmdDZ1459P/JWj2ZbSB601/oH+lJY0LKnLPV61svnnyk0yvkvbAUCn7jH4VvYMHvvsH+na8waP+rT+4odvEd/5Vu57+mVWvjTN6HBcUllZOf7+/kaHIYRDxcfHExwcbOvSkJycbOvxe/r0aVvbs5r1vrWxJsxgKW2wJswAkZGR3HLLLQBMnTrVrWd9a7NixQpGjBjB5Nt/z8e/ZBgdjlvI+mYPAO+88YTBkQhP4lUzwFYZm762Jb8AxYVFDU5+UVBRXm7XMcK6SQaAr78fe9N2sGrhEtI3bLHVab0/byH/mfemrQ2bu2rWojkjH/8/Vm9KZ88PB40Ox+UUFFq6h1hrIoXwFGFhYQwbNoyUlBTWrl1rS37BMtNbVlZGQEBAveep2RrQevuyyyylZ4cPHyYtLY3ExETboreUlBTMZrNHbEoSHR1Ny5aWGdxZD00xNhghvJjHJsDVW59ZWRcQKBSjpoznuh7dAfDxrboMQfVs+RsUbHlcV1SgfCwDt1KKuyaMZtSU8XTsdh0A3Xr3sM38frHsYz6Yv4il8xM9oi3amGmP0Sq0BYMefc4tdjdypl+OHgfsNwoQwt3UtQNe9W4Q1lKI5s2rSr9atGiBn9+FfbGotSYkJIQFCxYwbtw4TCYTZrPZtgmG9TXnzZvn9jvDWa1fvx6Ab774yrYYUAjhXB5bAlFztez3O/aw9v2VDBlzL0MevJfQ8Jbkn7yXp0c8TM6Bg/gH+FN6tpTiwqJzzuXj40NAcBBde3a3a5fmHxjI2aJiSs9aZo9/2JNJ/KSxhLZqadempv+9QykuLEKjPaYc4q/vv8kfh9zPC2+vZPpY9+xt2RT+MH0+AP379zc2ECEaobbNTr799ltWrVrFyJEjiY+PJz4+nhkzZtg6MwQEBNj1/gXL5IDWGqUU4eHhhIWFceDAAdvjzZo1o7CwkMjISNautXTReeqpp+zanVnLH/r06eMx5RBKKcaOHcvixYv5w7W3sPxAmtEhCeF1PHYGuGbj7leeTODwwWx2p6bbEtPQ8JY889ZLxPXrTVjrVnbP9w8M4NY7B+Lja2l51jykBVnb91B4psA283u2crOMjt1j2LZuE9u/3ErygsXnLFIIDW/J76dO4A9TJ3rM4oXfdL2Wbrf25NnXP+DUmUKjw3EZ+36xbAXbtm1bgyNxD3XNNApj1bbZycyZM8nOziY9PZ2wsDDCwsJISEiwzdrWnMn09fVlypQptiTY39+fI0eO2B3Tvn17wNI+LTEx0Vb2UH2xm7XvtCcsgqvukUceQSlFcWkZn3/4idHhCDf164lTzH3lI349car+g4Udj02Aa66WnfzSDNp3uILJL82wO659hyuY8e4rTHv9Bdp3uILH5jxD26h2dLiuEyGhoVSUW/r95v56gjP5ljeYrrB87d/8EstOX/7+fhw+mE37Dlcw9tk/OutXNNyzb83D19eHgY89Z3QoLqOkpFS6P1wA60zjxX6tLQl006htB7yZM2cSHR3NzJkz7Y6bMGECs2fPZvTo0ZhMJmbPnk1kZCRdunTh888/t5VJ5eXlUVBgaSlpXSRqrSO2lk2YTCaPmOFtKOus9ytTZ9RzpBC1s26r/M57X17wc709efbYBLhmDXCn7jG8sXEFnbrH2D1m/Tnyiije2LiCmwbehn9AAN9n7GHLx+ts56soK7c1Lm8V0YYuPbpTcOoMAFd368KoKePpPXQAIS1Dnf/LGiQgKJBxCdNI/+4H1n29y+hwDFdRUYHWEBgYaHQobqOx2yo3NoGuiyTW516Drl27smLFCqKiomz3W48BmDx5Mq+//jomk4mAgAD27Nlj28QCoLi4anv5W265hejoaNuMcGxsLOPGjSM2NtZ5v6ALaNWqFVdeeSUAj/9O1g2IC9eYbZUbkzzXxx2Sa7evAbZuDWkacCvpG7bYam9r1gDnHDjI4udeZuyzfyR9wxbbY4DdcZ+8m0zOgYOEtAzldG4+HbvHkHf8VyrKyzl+6Chg6fEb0jKUvWk7iO1tYsQjD9heL7hZM6/aoWfImJF89tpi4p/6Jyc3J13U7kae4tRpSymIN81gNVZjt1W2XmtHX/PaamA9VV5eHsnJyYBl8aZ11rfmNTCbzcybN4+rrrrKbkOM6sfk5eUxY8YMzGYzYWFh5OXlERMTw8GDB+26RuTl5WE2mzGZTMTGxhIfH297veDgYI+/5tUtX76cuLg4zN//SHFRkW2htRAN0Zhtla1J88Ukz/WxJteAy2777PYJsDXx/HZbBtu/3ApYEtmaO+Ysfu5l2+NT5s0ELFsjb1m9jvumjKP/vUPJP5lL1nZLv8GeA/qSlbGbUVMeZk/qdvZ+s5OKcs2Jo8cIDAqy9RS2JtzevEPP9KWLmNDnLh6ZvYiFf51odDiGua9yAdydd3ruNs+uprEJdF2aKrF2RSkpKSQmWnbIrJ581rwG8+bNIzU1ldLSUtusfX5+PhkZGfTp0weA5ORkUlNTMZlM3H///bz00ks8/PDDfPXVV6SmptKiRQv2799Phw4d6N27t22hW22v502efvppXnzxRf7QuQ8rfk6v/wlCOEBjkuf6NGVy7ShunwBbE07TgFvtNp2w1gBbWWtz4yeN5YtlH9P/3qG29mRx/XoDlmR699Y04vr15tihw+QcOMhbCfPIOXAQgLaVWyQHBAeec/6at71Juysvp8/w23lr1WdMH3s30ZHe2QN3zw8/A3D11VcbHIlorKZKrF3RsGHDbDu2VU8+a16DqVOnAvDwww+zc6elG87mzZttXSASEhJsx8bGxpKcnIzZbGbu3LlkZ2cDEBUVVeu567rPW9xzzz3MnTuXs+XlfPbBSm4fdbfRIQnRKE2ZXDuK2yfA1RPP9h2uqPM462K3lW8m8c7sV2xtyWJ792D7l1ttSTFYkurTufksfu5l4ieNZeHf5vLjnkw6dr+OwaPvwTTgVla+mWTX6szb/fHlBNI/+4JBj/2drJULjA7HEMdOum6tU33y8vJISUmxm5ET3sG6kK0+0dHRvPLKKyQlJbFgwQJb0mwymUhNTSUlJeWc3eLA0hs4Ozubtm3bMmvWLHbu3EmfPn1ISkqS91s1mzdvpnfv3rz+1POSALuZX0+c4p33vuSh+/vRutUlRocjGsjrCjat7dE0mqXzE7k2LoZRU8ZTVGip37R2jmjf4QqmzJtJZvouAoODAMv+7XdPHGOrIfaETS0cxdfXlykLnme/+RBJn2wyOhxDWFs9uaOmWkwmPI914SJAYmKibQGbNSG2do+Ijo4mISHBts1xdHQ0Xbt2ZcyYMWzevFnebzUEBQXRvbtlc6Zxt0gZlTtpysVkoum4/QzwhbLOGOefzLXV8Na1gM16/10TRuPn70eHLp3IP5nr1fW+53Pz7f2IuTqaCX9/k1EDe+Pv7z1vr9JSy2YoN998s8GRXBxvrr8UF8ZaqpCXl2eb7a1rAVtKSgrZ2dlER0fzyCOP2GZ95f1Wu0WLFhEXF8cRcw7HDx/h0sgIo0MSDeAO9a7iXA7PUJRSbwN3AMe01tfV8rgCXgEGA4XAg1rrHY6Ooz7VSyfqSmir1xcvfu5lVi5MIrSV5XneWu9bn2nL3uL+6wcQ//RLrHzpKaPDcZrH57wFwIgR7rkrnjfXX4qLU/09U1dCW30XN+siOrDMEsv7rXaLFi1i/PjxjO15Bynm7UaHIxrAHepdxbmaogTiXWDQeR6/Hbi68r/xwBtNEMMFqblpRs370zdsYfuXW4nr11tmfesR2iqcEY88wOpN37DvYI7R4TjNVzu/B9x3BliIxqht44zq91sXy/Xq1UtmfevRvXt3goOD0Vrz6l9mGx2OEB7L4Qmw1noLcPI8h9wJJGmLbUCYUirS0XE4krVueMq8mbLorQEeePoJwi9pQb/xM40OxWl+zD5S/0FCeClr3XBCQoIsemuAjRs3ArDuPyuoqKgwOBrj7dv9rdEhCA9kxCK4y4DsardzKu9zWXXNEIvaKaX4S9K/OHIij3/8+yOjw3GK8vJyr94ERIjzqWuGWNTOz8+PwYMHAzDqur7GBuMCsr7ZDUBgoHsuMhauyYi/2KqW+3StByo1Xim1XSm13bqlsXAPnbrH0O2WHvxlwXsUl5w1Ohyn6NSpk9EhCGGn+hiamytjqDuZNWsWAIVnCtj5dZrB0RjLl4paEwchGsOIBDgHiKp2uz1wqLYDtdaLtNZxWus4Z86+5p/MZeWbSUjS3Th/fWsevj4+9Bs/w+hQmtSby9cCcNNNNxkciRD2qo+hLVs6bwzNy8sjKSmJvLw8p72mJ1q6dCkAf7vvUYMjEcLzGJEApwBjlEVPIF9rfdiAOOpkbX8mfX4bJzA4iHEJ00j77gc+37bb6HCazLINXwOWHbKEENJX2lF+85vfcOmllwIw57HpBkcjhGdxeAKslPoA+C/QUSmVo5Qaq5SaqJSaWHnIGuAn4EcgEXC5j7bWRW/S8aHxhjwwkujISxnx57loXWuli9vbtudHALfdBEMIR7MuepOOD423Zs0aALZ+vI6ysjKDoxHCczRFF4hRWutIrbW/1rq91nqx1vpNrfWblY9rrfVjWusOWuuuWmuXa3Qoi94c65nkRM4UFvPYC4lGh9IkSkrPYmlvLYQAWfTmSEopW89kWRAnhOPIsnXR5CKviOK2u4ewcMV6Dh07X4c899W6dWujQxBCeKhJkyahlKK4sIjtm742OhwhPIIkwMIppsybSVCAP7+dONPoUBxq3dc7AbjxxhsNjkQI4cm++OILABLGPGFwJEJ4BkmAhVP4+Pgw5ZXn2Wc+RNLHG40Ox2E2fmNp0D558mSDIxFCeLJLLrmEK6+8EoCpQ0cbHI0Q7k+5y8IkpdRxwNzI07QGfnVAOJ5Croc9uR5V5FrYM+p6RGutL3XEiWQMbRJyParItbAn18Oey42hbpMAO4JSarvWOs7oOFyFXA97cj2qyLWwJ9fDQq6DPbkeVeRa2JPrYc8Vr4eUQAghhBBCCK8iCbAQQgghhPAq3pYALzI6ABcj18OeXI8qci3syfWwkOtgT65HFbkW9uR62HO56+FVNcBCCCGEEEJ42wywEEIIIYTwcpIACyGEEEIIr+J1CbBS6jml1B6l1C6l1HqlVDujYzKSUmquUur7ymuySikVZnRMRlFKjVRK7VVKVSilXKpdizMppQYppfYppX5USj1tdDxGUkq9rZQ6ppT6zuhYXIWMoVVk/LQnY6iFjKFVXHkM9boEGJirtY7RWncDPgH+ZnA8RtsAXKe1jgH2A38xOB4jfQfcDWwxOhCjKKV8gdeA24HOwCilVGdjozLUu8Ago4NwMTKGVpHx056MoTKG1vQuLjqGel0CrLU+Ve1mc8CrVwFqrddrrcsqb24D2hsZj5G01lla631Gx2EwE/Cj1vonrfVZYClwp8ExGUZrvQU4aXQcrkTG0CoyftqTMRSQMdSOK4+hfkYHYASl1PPAGCAfuM3gcFzJ/wHJRgchDHUZkF3tdg7Qw6BYhIuSMbRWMn4KkDHUbXhkAqyU+hyIqOWhZ7TWq7XWzwDPKKX+AjwOzHBqgE5W3/WoPOYZoAz4jzNjc7aGXAsvp2q5z2tn+LyVjKFVZPy0J2NovWQMdRMemQBrrX/bwEPfBz7FgwdvqP96KKUeAO4A+msPbwx9Ae8Nb5UDRFW73R44ZFAswiAyhlaR8dOejKH1kjHUTXhdDbBS6upqN4cB3xsViytQSg0CngKGaa0LjY5HGO4b4Gql1JVKqQDgPiDF4JiEC5ExtIqMn6IWMoa6Ca/bCU4ptQLoCFQAZmCi1vp/xkZlHKXUj0AgcKLyrm1a64kGhmQYpdRdwL+AS4E8YJfWeqChQRlAKTUYmA/4Am9rrZ83NiLjKKU+APoCrYGjwAyt9WJDgzKYjKFVZPy0J2OohYyhVVx5DPW6BFgIIYQQQng3ryuBEEIIIYQQ3k0SYCGEEEII4VUkARZCCCGEEF5FEmAhhBBCCOFVJAEWQgghhBBeRRJgIYQQQgjhVSQBFqKSUmqkUqpEKRVd7b5XlFIHlFJtjYxNCCFcnYyhwp1IH2AhKimlFJZdfHZqrccppf4ETAN6aa1/MDY6IYRwbTKGCnfiZ3QAQrgKrbVWSk0HPlVKHQCeAfpZB26lVApwC/CF1voeA0MVQgiXI2OocCcyAyxEDUqprwETMFRr/Vm1+28DWgAPyOAthBC1kzFUuAOpARaiGqVUPyAWUFj2LbfRWm8EThsRlxBCuAMZQ4W7kARYiEpKqVhgJfAE8BHwgqEBCSGEG5ExVLgTqQEWAqhctbwGmKe1flsplQ7sUUr11VpvMjY6IYRwbTKGCncjM8DC6ymlwoG1wCda61kAWuvvgOXIDIYQQpyXjKHCHckMsPB6WuuTwLW13B9vQDhCCOFWZAwV7ki6QAjRQEqpz7Es7mgOnARGaq3/a2xUQgjhHmQMFa5EEmAhhBBCCOFVpAZYCCGEEEJ4FUmAhRBCCCGEV5EEWAghhBBCeBVJgIUQQgghhFeRBFgIIYQQQngVSYCFEEIIIYRXkQRYCCGEEEJ4FUmAhRBCCCGEV5EEWAghhBBCeJX/Bx+KLWB7an/hAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–5\n", "\n", "def plot_clusterer_comparison(clusterer1, clusterer2, X, title1=None,\n", " 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)\n", "\n", " plt.subplot(122)\n", " plot_decision_boundaries(clusterer2, X, show_ylabels=False)\n", " if title2:\n", " plt.title(title2)\n", "\n", "kmeans_rnd_init1 = KMeans(n_clusters=5, init=\"random\", n_init=1, random_state=2)\n", "kmeans_rnd_init2 = KMeans(n_clusters=5, init=\"random\", n_init=1, random_state=9)\n", "\n", "plot_clusterer_comparison(kmeans_rnd_init1, kmeans_rnd_init2, X,\n", " \"Solution 1\",\n", " \"Solution 2 (with a different random init)\")\n", "\n", "save_fig(\"kmeans_variability_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KMeans(init=array([[-3, 3],\n", " [-3, 2],\n", " [-3, 1],\n", " [-1, 2],\n", " [ 0, 2]]),\n", " n_clusters=5, n_init=1, random_state=42)" ] }, "execution_count": 20, "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)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code\n", "plt.figure(figsize=(8, 4))\n", "plot_decision_boundaries(kmeans, X)" ] }, { "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": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "211.59853725816836" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans.inertia_" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "219.43539442771404" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_rnd_init1.inertia_ # extra code" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "258.64724728961636" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_rnd_init2.inertia_ # extra code" ] }, { "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": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "211.59853725816856" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# extra code\n", "X_dist = kmeans.transform(X)\n", "(X_dist[np.arange(len(X_dist)), kmeans.labels_] ** 2).sum()" ] }, { "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": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-211.5985372581684" ] }, "execution_count": 26, "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." ] }, { "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": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KMeans(init='random', n_clusters=5, random_state=2)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# extra code\n", "kmeans_rnd_10_inits = KMeans(n_clusters=5, init=\"random\", n_init=10,\n", " 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": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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sjOzsLOLi4jh48CAhISGEh4czZuwEwsNDqFSxPFMm9mPKxH4cOHQSgF/3HCG6UgVGjexBeHhIkXtwdD/+xPMT51O6dCme6zjaaFNcorhmb4sZ34GFEgJPTk4GnJ8B7ug8vWaJu7OOpW0CfSnRnrej/WLLzxXR1PYzn/rOUK5cuUZuTh4/p11Wz61frxqxD8VQr2lr8vKv8vXXy3j00d4cOHCQxx57jEWLFjFgwAAOHjxIw4YNSUpKIjo6mlKlKvPx7I3qNLKwsLI8PyqWEycv8Oak/mRcuMQTT89k5epdNu/B1/e/ncmQX5S0hXu7tqN8eLlits4ziiuc7c51LKMCriTR+doktkDDMkzubGKXo/P0ShBzZx2xv+1dSrR4W6srtjaCU/uzUiL2wYzvGDqwM4uTtqglYvXrVePQ4TPq6+qfjvFEXfMksaioinz77bfExcWRnp5O8+bNAWjSpAlJSUlq2KigQKZr1058+WWCum6P7i3Zf/AkW37Zx5Zf9rFy9S56dG9ZyCYFf9j/dpQhP2/heq5fL+C9IW8Ws2Wu4aoY6imA7oThLZPmXEmiEw1fjMUyTO6s8Dk6Ty8BdWcdsb/tXUq0eFvDUlisCY3yXk5OHqnb9gOoQ0be/CCJ116IY8sv++jduxOlS5fi+o1Qeo0aNVi0aJEq3ACLFi2ievXq5ObmAiBJ8MxTPdm3dxsnT16g5wOtee7pB7m3w21FvGt/3dd2FPGY/E4itWpW4tZbGnrl+nqJqLNiqFwvx5TLu19MK/J5cWHprbvivYsEOd/CkfDZ2k+2PM/aOu7sRQsh9j1K9J63NYYO7FxooIjys9LD/MCfJ9W+5rmmfLU87JMPh6te8ZZf9hHb406mffo1168XULq0+Ws8f/4sAwYMKHS9AQMGcOrUKUqXLkWpUhKyDJ98vpxfth3g7xMZfL9qB4uTtqhirXja/ircgN17+CP9GMdPZDBp6CSvXV+v/eKBPfvy1nOTCgmb9mcwC/fI+LGqqFt+7iqe9Cu37AEfHVmRgT37snBFIgePHba7ri/0j8++7Flff3v7snrt/XqKXnZ4sp+sPddXvheB6wSc520ZhlZ+/mDGd7z4WgJrNuxm3cY9TH65jzqf+9DhMySv3K4KfmyPO+nV/z1y80rzyivxhIaU4cKFDGJjH2bfvv00adJE3fNOT0/nkUceISkpicqVowHYsHGT6rEfO55RpDmMPwu3I156fSFBQaV5/KE4r13DnhfpilduGbq2FspeuCKR1akb6N6+MyP7DPVY/JQHjy27fmHW5Om6rrc61Zzo6Kth8aHv/AeA+vXru3W+vX1ZX2kO4ood9jxkT8Lh2nN95XsRuE7AibcWyyYtAOfPZ7Nu4x5yc/NBgnZtGlKmTBCxPe5U98ifeHom+w+epH69apw/ewQqV6fHg7Hs339ATU6rUaMGSUlJPPLIIxw8eJC4uDiSkpI4cGA/x48fB1D7mSutU0tqJzWFf/4xsWbDbh657yGr5WGuhrvdKdvSe29X+6Cgh9c6sGdfVWgXrki0aqMre+/ajm33tGzn02FxU24+QUFBREdHu3W+PUHzleQpV+ywJ6yuhrFtdWzT2iNKu/yLgBBvW9nPlvvdSrJaWFhZUrftVxPKAN6f8S1nzmbRtFEtVq7eZe5fXr8GM2d+yJhxr5Gba6Jhw4Z8/fUyKlWqSFBpmYpRUSQlJal13jk5Ofy2cxU1qlciJ8fEA11bsGhpCn/sO87L4x/l/TcHc0+7W3kw7i2mvjOURg1qlKje5p/PXc21a9f58HnriWquCqs7Qqz33q7e9d3RkRWZNXm6Kr7WcHTflp8rxzT0UY9bL+wJmq/s2bpihzNC76zg2noQ0NqTkJDg8164eMD4l4AQb1vZz9YSq6IrVSA8PIR1G/eobVABln+/nQsXL3PlyjXef3Mw5zOy+WCGeRTo9YJQlixZQnh4OBUrVuL69QIuXc5FliE6OprvV3zH5cv/sH3rD6SkbOPkqQsApO08pE4VGzxyJunbZ6plYleuXKN928aFHiL82SOXZZkPZy6nQeO6VLLhoboqrO4IsV5i683SKkc2OrpvR5+LsjDvopfAOCP07paUuXsMGCugIsz/LwEh3rayn62VkmmPUwS6fr1qfPz+U3w8e6XqEb/46lfq8UuWJJG2fTdvvBGvhvxk+d/1Tp36m2f+M46rVzI5dPgMACFlg/n4/acAeGzQB5zPMHvYU98ZCkDTRrXUvXClbMyf2b7zEGfPZzP9hak2j3FVWPX0el0VNGe8fm+JpKP7dvS5KAvzLq4KjCMx1GPv29mObc7Ya6SA+sr2hy8QEOJtS6QdHZ9x4RKVoyNU4by3w21UqljefNCNLdtSpSTyr1xj3759TPvwVcafMvF4/4cpHRRCjWrlyLxwnFOnTxYSboC8/Kv8nv43ADm5+YXqupUBJS+MfpiwsLKMGtnDasjcn0Lq4yfOo1y5EHrc08VoU6ziqqA54/X7qkiWtLIwXwuluiowjsTQ2b1vb30PlusaKaC+sv3hCwSEeNtDEcDYHneqGeWKEGpFX8lGB3P4WslELyiQ1cSzFs1uoddDVcjJOUf8O0t5/83BXMnP49PZ5mEk5n3y6vyR/jdtWjUo5OH/uucIFy5eJrpSBXU86ftvDrb70OEv40KvXr1G6tb9DPtPH0qXLm20OVZxVdCc8fp9VSRLWh92rbj5Qq9vVwXGkRjGxMSwc+dOYmJi7K6jnTIWHx+v2/1bPjzoJaC+9tDlbwS8eCsC+FPKH2pLUnuhdGVYSG5uPrc1qcXhv85wd9tG/LBqF3+k/82Uif24cPEyqdv2c+zv8+za8xcAMe2bsPjL8VY95F/3HGHdxj2MmjCHtcunOD0G1F/Ghb76xiIAJvZ8Rbc19Q5JeyJoYliJsfh76ZMjMVy1ahWpqak0adKEkSNHAtaFLzY2Vh0PmpycrNv9e8vT9sfflS8R8OKtrd1Wupw5Ckd/MmslH8xcrv68cdNeADalptP/yalcuXKNzanphbLVb2tyM5/MWgmYe6gr6wA0ql+ddRv30OL2uoDzYX5XtwOM4rMvV3Nny/pUrVRZtzV9KSTtS7YEIrZKn4zE216lNeGLjIwkPj5eva4e9njzPnzld+WvBLx4awXwhTE1gKIhcigcotYSFlqGXFM+dWtXAYlCgh3ToQmyDJtT0zlw6BSfzjGHz5WJYUpC2uSX+xTq+uZPOHrQWb3uVy5fNhE//B1dr6tHSPrgscO8Mj2ed8dOpmHteoba4gn+kD1eXDY6G9I1QlzdpW/fvoSGhhYSOVvCZ+v+ExMTmTNnDiaTSfXenUG5j61bt3LHHXfQt29ft74va993ce1fl9TwfMCLtzXsTfKyFNj+cfcwfuI8NeReqWJ5Hn7wTmrViGbUyB5cuHiZ8RPn8doLcbRv27jQGsrcblsJaf6Ao333F19LIDIijI6t7tb1unqEpF+ZHq92Hft6WtEHs+K0xZKMrIvMWjoPwGHnNr27snkDX4tOeDtkq6dXaU3kikv4tKH4tLQ0QkNDXb5uVlYWkydPJjU1FSj+ELm7v2tfF/2AFW97HqO1cLTle6NG9mDewg1UqlhezQ7/v6TNHDp8hs0/p/N4XEdVuFeu3sW9HW5jysR+ha47ZWK/YrhT72Jv3/3U6Yvs2XuM10ZOAHzPQ3x37ORCr0Zh7XtZuCJRHXISHhrmsO7bUVc2ozE6OmGJt0O2nnZA8/Q4S6x5786ghOITE81zAtz5vpKTk0lNTaV9+/aGhMjd/V37+p58wIq3u5naivjm5OSpYe8XxvRiysR+9I+7h17932P/wZPEv7eU7b8eKjTe09p13Sn38qUSMXv77pPfWQLAC0NHA96vjXb13Ia163nkcetll7XvZWDPvuSYctV/O1rTUVc2Z+zwJr6WvGdLXI3ytpwVCncFxZOSssjISJdC7ZZoxdPVOnY9cDdK4et78gEr3q5maluKtrV96kYNavDd4pcZNWEOjRpUJyykLHe2qF8oLB7b406+X7WDH1bvUMvTXH2I8IcSsStXrvJ/iZvp2LkNpUqZp655uzba10KzCpZ2WYqote8lOrIik0Y8b3PNWUvn8e4X08gx5TJpxPNOiaOjkaa+EhHRG1fEwQhvKysrC5PJxPDhw4mJiSEhIcGmrYqQxMTEMGvWLACb+9C27tvyHo0WT1/1cH29pjxgxdvVTG1FMLWibc3rTV65nXUb91CmTBArV+/i/TcHFzoueeV2NqemA+bGJV99bvZKXUlW84cSsaXfpGLKu8IHmkQ1vWujnRFBZ8/VE0d2WYqore/FHRu15yjXUv6dY8rllafGFfl+fPWhxxO0guSKOHjL27InkMnJycyZM4fhw4czdepUUlNTbdZqK4KSkJDAnDlzAGzuQ9u6b8t7NFo8fd3D9VUCVrxdRSuY9kLVsT3u5KeUP3jthTjubFGfnJw8Mi5cUs8ZOrAz589n8+vvR5j6zlC3yr38oUQs/r2lVKtemab1Grt0nivhVWdF0JlzncFZMXVkl7WHDFv73rZsHNlnKOGhYXaFGCj073e/mMZbz00qYruv7UfrgWXjFkD1amNiYti0aZNVIfWWt2VPIBX7TCYTqamp1K5d22GtdkxMDCkpKciybLN5i72MdG0zG6PF09c9XF9FiLeTOCuYySu3qwlq4eEhvPhaAuHhIeq50ZUq8P5bT3jXWIM5eeoCh/46w/SX3vXqdTwRHVfPzci6yMj4sU7NxHa0tq254Nb2vW2tY+tBxdo5tv7taC1/xnKfVfFWlQ5kxZ35bE8gFfuysrIIDQ0t9HChYOm5b9q0iV27zBUumzZtsnof9kTR8mFCiKf/IcnaCRo+TOuW9eUdmz4w2gyHaJPJAJ9JLCtOHun/Hj+s2cmZjQcpW6as0ebowvQFn/Hqx2/TvX1nj8uxLL1sV8rCnF1fz/VsXUPvbYd6D7fgwvlMtm7dqst6ligCqIijPQ/c1TXtraHHnrLy4DF69GhV6JUMcHdqr50ZhuLJ+t7A10u3vEXr1q13yrLc2vL9UkYYU1LIuHCJD2Z8R8aFS1Y/V7z1QBLu69evk/zjDro/FFNihBvMHutbz01yKNwZWReZvuAzMrIuWv0Z/vWyF65IVH9+94tphIeG6SKEynrvfjFNvYbeWN6DN8nKyiIhIYGsrCyP1lE80dq1azN48GA2bdrEzJkzSU5OdntNxYO1t4a1Y1y9p9jYWEaPHq1640oG+MiRI90SMuW7sHWusg8/Z84cp78fvX5PtnDmuw4kRNjcA6xlfftDJrg3+XT2jxQUFPDmgClGm6Ir1kLLzuxTOxMO13vP2VGZmSOc8aqLc5/cWwlV9kLZ9rw87WeuzMnWZpK7ek/WQuCWkQQ9PdLY2FhMJlMh+x2h3JPJZFJryvX0kI3em/c1dBdvSZJqAQlANaAAmC3L8gyLY+4FlgNHbrz1jSzLb+hti7ex1YktJyevUKKarbpsX6rX1ov/TvuW+rfcRIPatxhyfU8ztB151drj3BFma9eyfDDwNCTtqMzMEc4k8xXnPrm3/mi7sids7zNba2hFXrvnDq7fk7WHCe0UMb338N2p7dYm3nljypu9B5hAC6WDdzzva8DzsizvkiSpPLBTkqS1siynWxy3RZblh7xw/WLDVic2y0Q1W954SfPS9/xxlFNnMpn/1qeGXN+VpDItzmaeW7YhtVWfrV1DKRVTxNiZaznb7tRb5W6+ln1uRDayPXF1VngtRd5aEp0SanYkPtYeJrQefatWrQz3SLX3BJCZmcnEiRNJS0vTfUypgtFlbkaiu3jLsnwaOH3j35clSdoH1AAsxbvEYumR26rL9od6bVcY9/I8goNL81i3hw25/sIViaxO3UD39p2LCI8tocvIumiz/tny3B4duxVpQ+rMA4JWsB0Jo2JPpzYdrLY71d6Ht+qzjco+v3r1qkfn6+mF2XtgcPZhwlLkrZ3njPhom7jExsYW8ei1e8y+4IlGRkYSGhqq1qE7U/rmLoEcSvfqnrckSXWAFsA2Kx+3kyTpN+AUMEGW5b3etKU4sfTIbZWZ+UO9tjWshfuzs3PYsPl3Bj3ZyzC7tMJo6YnaEjoluat7e9sPUNpznWlD6sguew1ZzmdeYMbCzxnx2BOUCS5Dj47dbNpS3B6yNxvbXLt2jYsZWURFRbm9hiMh9JawWVvX2Ws5Iz5K8tjo0aOJjIwsFH4fPHhwofsGfMIT1e6Z33///UVK3/QikGvEvSbekiSVA74GxsqybJmOvQuoLcvyP5Ik9QC+AxpYWWMEMALg5lr6zYIWeIa1cP8HM74D4L2B+o7+dAV7HqNW6LQiZDnUY2DPvmqZVVz3XqzcvEYVUHdF0pXWpZ3a3APAn3//xca0LdzTsh0NbTR40a7rjLB6WkLmyNP3RNyvF1wHoE+fPi6dp8WREHorxGptXWev5Yz4WN6XrdcWLVrw2WefMWjQIMM9Ucs985IssEZFO7wi3pIkBWMW7v+TZfkby8+1Yi7L8kpJkv4nSVK0LMsZFsfNBmaDuc7bG7Z6QklMOHMGy3B/QUEB//tiFbc3b0REuQq6emh6raUVOqVmG8wipPWmtdO8lq76lsMnjqrHWTtXr3tSMsRz80zc1ay1+uBg+cBg60HA2b10ZyeVWcORp290m1VHQuitEKu1dR1dy5U/+JYd0SzvU/l5zJgxpKWlERwcXCwi4gshel/AqH13b2SbS8BcYJ8sy1NtHFMNOCvLsixJUhvM9eYX9LbF25S0hDNnsQz3b9qyl8ysHBYMjwf0/SPuDUGwFCGtIA7s2Zf12zazMW0Lh08cLbJ/rux7W4azFZx52LB2T9GRFQkPDVNbmDasXa+Qx+3oGs6E0D0tIXMUQfC1RDdvYilcrs7bdvUPvjPHP/XUU5w4cYKnnnrK2dvwiEBOFtNi1L67Nzzv9sAg4HdJknbfeG8icDOALMufA48Bz0iSdA0wAf1kf2n1pqGkJZy5y4uvJxAREUZM6/aAvn/EvSEIjkTormatadawKWEhoUXCyys3r2F16gZa3nqH2ltc+7kzDxu27snZe7Ul/o4ebjwtIXOEr7dZ1VNs7K3ljEeq7AmbTCaysrIceq7OCMSvv/7KsWPH+PXXX7n99tudvxk3CeRkMS1G7bt7I9s8BZAcHPMJ8Ine1y5u/DXhTE8yM/9hx6+HGf/Es5iDLs79EXc2HO5scxQ9rgX/hpbfem6S3d7hOaZcq+VczgwdsfX9OCt+geLhOtsoxdmQrZ5iY63ximX9Ndh+SFAysmfOnGlzKpjl8cUxEc3VcL49m7wdVg/0sL1ojyrwiJenLECSJCY8Mcql8+y117TWUtTZcz09fmDPvrzy1DhyTLlWr68d8dmpzT2sTt3ArKXzVHsVAbbmjY+MH2vznlzB2jW8jaPfiTfQtsO0bL3pTqtMRy1BXUFZy1qLVctWprZw9jhXbfLk/rTf67FjxxgzZgzHjh3zeC1vEOjtUkV7VIHbyLLMwsTNdGzfhArlyrt0rj3v0VHo2VXP05Xjlb3nVz9+22ZSl+Kdv/LUOO5r21H1wrX22sto9+XQsi2MSEbTepL2Gp54gqfem6Udzq7nKKpg1FAQ7f1MnjxZ7dw2Y8YMe6c5XMse2u8CcPr3EehheyHeArf5Jnkrubn5vPHU+y6f62xZl71zFW/QndC7PRxdX0lai+vei4a165GRdbHIbG1LsbOsD/dmzbQ3MCJUrw3LOtPwxB0SExOZM2cOJpOpSDtQZ4TY0g5nm65ohdFa4xalwYkzIXU90d7P+PHjC726gisPRe7WqQdyjTeIsLnAA157axFVKkfQqskddo+zFnK1F4Z1NixsLxx+8Nhheo8bzMFjh526F609jq6vJK2t3LzGpr2W4Xdtm1RFuLW2uxuWLq5wthGhei2uhIT1mm7lTljWmVB4cnIyqamptG/f3mb71eHDh6sd1VzF1v07+70ox0VERDBjxgxq167tsg2ufHfa70zvrYSSjPC8BS6TceESM/73PfsOnOSd0a85PN5ayNVeGNZZr9SeN/jK9Hi1x/nX0xJcttGeDc54odrwO5jrqnNMubz7xTS1XGvMwKdVcXcnLO1uL/eSjitZ5X379lUnYFkSExPDzp07iYmJcfrazniDyrpPPfWUVe9UaXDibkjf1v07+71YO85VW1wJaVt+Z97wpkticpsQb4HLzFu4gbc+WAbAiLgn7B5rq3e4J3veCvbC4e+OnVzo1Z59s5bOIzfPVMhGeza4mhWu7Im/8tQ43npuktoCtVObe9iYtqVQyN2VsLS9Xu6BjDXhsPXHWztMwzJrfNOmTaSmptKqVSuHguJIHLT72IAaMrc3Dczd0jZbwumsoFo7To8RpkZSEmvShXgLXGZg34689PoC7u1yFyFlQ+weqy290nqwnux520LrLTesXa+Qx23Lk9Z2HdPaaKudqqulaYoXr60Jf3v2RwA0a9iU+9p2tNvz3B72ern7EsW9v+/OABB7U7uc8R6dWV/Zxx4+fDijR4+2OQ1MO6dbe31nvUdbwumsoFoeZzkYxVu40yNerx7y/uiZC/EWuMx336chyzKfjprm8Fh3hNjVnt0Ks5bOU8PSI/sMdTh7W7HLWtcxa+1U7Y3olMqUplR4MDlX81iY/A2zly9Qr2V5P2AOmYeFhLotaMr30q55G0bGj+XdsZNpWLuey+cXh6Aa3TYVHP/xtva5K96jM+srgzq0GeSueNyeeo/uCpSS1Dd8+PBC59laT89wvzsPXdbQu+OdLyDEW+Ay73z0NbXr1uDmm2o6PNbTrlvu/uG3PM/WQ4S1rmOWwqYt9RoZP7aQgEshQZSpUZ5S5coCcNWUw9BnhjN81NMEXymFlFWAnHdNXVt5wNCGzJ19ULE2DrRh7XpqUp4ze/u2vh9v4mmmuh5ekaM/3p6GeZ1Z3zKb3Raehr1tYSlQ9r7XY8eOMXXqVLuZ5no/ZLjaI17PiIA/lp0J8Ra4xO97j3Li5AVmT55eLNezDF/bm4o1ss/QIiVb2v7liug58jYthS06siKzJk9Xk8OUWu3SkSGcIZuQ3AKqlKsCQGhIKFeuXiH/yhX+yf+HUiES1UIiuJ6VV+gaSsi8R8duarmbI0G1Ng60XfM2vP/lDId7+5Y4I6h6DoVx9ru3hj96RZ7gTNjbkw5zSlc4k8mkhvItrzd16lR1Pz4+Pt5qUp+9hwxXWr9auz977ylYjkr1BF/bo3cGId4Cl3jh1QTKBAdxJuOsWgKlN5aioQ1f25uKZenlW35uSxytedpQNIyurdWWQoI4Qzadu3UhNDSU9WvWUaVKFeSCAmQZcv/J4eFeD2My5bFhzTqqhIQj510r8oChzRZX3tMKumX5mfKqrXW/p2U7Kka4NgfblTGl1r5LV/FkLX/0iryN9oHmqaeeIiwsjKCgIK5du0Zubi5Xrlwpco4iUMo8cGXv3dr3qq3xdnUPPdLF1q+OsPWgEuj/XQjxFjhNbm4+azf+RrOGTXn903cpVaqUV0Kuru5Pa7H0zpX1enTspma9K+LYo2M3Vm5eo5ZwKetqhdzWg0SZGuUJyS0gNDSU9H3p3NetCxvWriM8ojznzp/j0Ucf5cCBAzRu3JgyIWUpU6k8+YczizyMaLPFlc9sjR215sEq35W9/Xh38ZUBM77gFekRutczKSo2NpaqVasybNgwoqKKPrj9888/nD59mry8PKvnKq+27Khdu3ahrmreLBWzXB8Kd1mzFXnxhf8ujMRvxHvnr4eRKjzq0jmSJBEcVFpXO8qVK0tUpGutQB3RsMFNtLi9rq5rdul0B3e3bazrmh99vJyCApkv4j9mVco6r5UnubI/bYmypwxm7xxQxW116gbeem4SKzevKfSeUsJlLXRtTRylMqUpVa4sVcpVYf2addzXrQvp+9Lp3K0LS5YsoV+/fqpwJyYmUr5CeUqFlkUqUxr5ynWr92nLw7Z8eLC2l++t1qt6TgkzcuKYHqLpbOc0e9fRK/yflZXFX3/9xWOPPcbVq1etHpObm0vZsmUpW7Ys2dnZhT5zR/S8XSpmr8uaux62P2aQu4LfiHe16Ejiutzt9PEFBTIbtv9Obl6+bjbIsszZzGwuXT6v25ogc/jIGX5c86uOa8I7H32j63oKDerfROO6DWhct4FX1gd9/tB3anNPIfHv0bEb97RsV6j2OjfPRMtb7yi0f65490rzFGviWCo8WF23SpUqbFi7js7dupCenk6zZs0AaNKkCetWr6Vc+XKEhoQCUCo8mOsa8XZmupilF275YGMZzhcURQ/RdEZAHF1HrzDvtm3b6NSpE926dSMsLIw1a9ZQpUoV9fNz587RrVs3TCYTa9euJSQkxKoH7kpplrdD1PaS1dz1sEt6roTfiHeNyhWZ/sKTRpvhN6QfPk7mpX90W+96QQG9xn9ITrZvj13X7ikrgqwIYUMLoZyx8HNeeWpckfpzy8EkWnHMyLpI+l9/0bVWD0pJ5u7CVapWZcmSJapwAyxZsoRq1aohF/z7fUlB5uNdSQSzJtb29vqtre1vfdT1Rg/hcUZAnGkOo4eIDBs2jMuXLxMWFsa+ffvo1q0ba9eupWrVqpw9e5Zu3bqxb98+br31VkJCQqhYsSJHjhwpso4zpVla+52x3V1v19Uua87OTNe+ljT8RrwFrtGkXi3d1/xo/CCeeuN//HnsLxrUvsWjtfQUFFv70vaOs4dl4liPjt3UzxauSGT36QN0uL8T4aHhAJw7e5Z+/foVWqNfv36FPO9SUinkawVA4Xp0e9sA7nxHrraiDQSKa2/UneYwjrAUqTJlyhAVFUVUVBRr1qxRhbpbt27qlo0i3FqP3GQykZSUVEjsnCnNsmW/LfEsLm/X2ZnpJdHjVhDiLXCagT068p935/DK9HiWTfvKo7WMyGS2bOJiWVamYJk4poTNwSzoBxYfJqSMua773Llz3NftPtL37aNJkybqH9D09HQ6d72PxMRE6tauQ3hoOBmnz/NV0kJy80we3Zc9UVcmnmkfOIyYCCYwo3dtdlhYmPpZlSpVWLt2Ld26dSuyZbNmzRoqV66sHvvnn38WETtF3Cxbw2oFz5b9tsSzuLzdku5VO4OYKiZwmuDgIFq3vYeN21O4du2a4xPsMLBnXzVJzFUsJ2lZW8vRtC3LfWVrxynrvjt2srr+ys1rWPDNEv7cf/CGcHchfd8+GjZsyPcrvqdBvfokJSXRuHFj9u/fT9++fbl86TKmi5cZPGG4KsZvPTdJzYZ39TuyN03NcuKZ9l59OWQ+Yso4AG699VaDLXEOZyd0KWKo3VNOSEjg2LFjhV5trWM5ZSsoyOxvybKMyWSiSpUqLFmypNA5S5YsoWrVqoXea9eunc2yMHsTwCIjI4mNNc9T19poa/qXreOt4cn0N8vvNRARnrfAJWaN6cntcRv4em0yfR9wLftfiydJadaaqDhT060VS6VG3dkBJMp+uSKkkaay5N1oRKFklVeqWJGg0kHUqlGT9WvW0bV7V3Jzc8kzmVg6ZyEb01IACAsJderebe1lW/OuFbzpZXtz7/zIqb+RJIkOHTrouq63cDU8rISZlcYoO3fuJDU1la1bt5KWlmZ1njgUDf0qD815eXnk5ORw7tw5q1s2lp53cHCwzbC3o6Yq1u7VXsMYR9+N5Xfh7HcoKIwQb4FLNLmlFpWrVOPtL6Z6JN6eYClQ1kTFVqMVyzGdigBaEztr62oFtTQhbFizjjIhZSlfoby6tx0eGk54aDgrkldw9vw5dvy0lXOnzwLmLHjlIcIVMdQ+ZACsTt3APS3bFUnC82ZJVqDvnWtxNWyrCJrlUJLMzEzS0tKcvm5urrnPQUhICKdOnaJXr14cPHiwyJZN165dC+155+TkWLUHzMJpr6mKo3u1XMvZ4+01iRE4xinxliQpDlgINJRl+diN92YADwF3y7J81nsmCnyNlwZ2Z8LUr8gx5aq11EZiTVRsiZjlmE7tOVq0s7KV+7QU2etZeVQJCadMJXMdtyVVy1Vi7dLvuf/OzrSte0eRNVwRQ2sPI7a864PHDvPK9HiXh5U4wpf2zo2u4XU1GcpaYxRlvzkqKsqugGmnjG3atImJEydy9epVevfuzcGDB9XktKpVq7JmzRq6du2qJrGtWbOGsLCwIvXglgJrT3Ad3avlua4c7+zvzujfty8iybLj0h9JkiRgO/CrLMvDJUmaALwItJdl+U8v2whA6yb15LSF7xfHpQQOuJB1iar3DePpvkP54Pk3iv36SiLZK0+NU73nlZvXFHm1FFvF0+3RsRtJq78DrPdI1wp39/adaXnrHepYU0uRVdZ8Im4gZSuEsmP/blo3bk44ZQs1ZLGGZfa7tX+7E57uPW6warsrw0qMpOOQh/h1329s377dqeOVFp+jR48u8SFX5V7bt29Pamoqb7/9Nn369KFr166EhoYWqfNWysXy8vJYu3Yt+fn5Vuu8reGKSBanoFr+vgNJzFu3br1TluXWlu875XnLsixLkjQR+EGSpMPAJKCzLMt/SpJUC1gAVAGuAvGyLHunQ4jAJ6gUWYE7b2vBghWJvD8+HvOznWt4sn9qy3u2lh2uFVvF001IXsLBY4eLzBjXHrc6dQMNa9fj3bGTqRgRZTMz3TKc/erHb1sVeWvYasairKPY7+p3pQwpcXVYiT/hK9nGxSEi2oEirVq1om3btgBqAxatcANUqFCBxMRE9f+XZ86ccdpGV/byi7MJSkxMDDt37lRnnLubc1CSxN7pPW9ZltdIkrQdeAvoKcuy8oh8DRgry/JuSZKqADslSVoly3KuF+wV+Aj/Hd2LTiNeZ2PaFjq37ejy+Z7sn2qHcmhFVVufre2mpqDtlqb0Ewf7I0BXbl7D2EHP2LTRlXC2tWs5s46r31XD2vWsetwlqVmLt2t4Lf/YG1nXrL1XJZM7NjaWatWqUbFi0d9jSEgI169fJz8/nytXrjhto7URm/ZErzgfoDZt2kRqaiqtWrVyq2VqSey25rR4S5LUGbgDkAB1j1uW5dPA6Rv/PidJUiYQDfytr6kCX6JjqyaULVOGj7761C3x1mP/1HJf21p2uKVgabulKYNHtJO9tCNAtWFsZeBJbp6JsJBQNdyufZBwZ9yo9jxrE9Eysi6qA1XcLauznAGuXV9gHe0f+9jYWCZPnqyOyDSirtmaXYMHD+bIkSOYTCb+/PNP2rVrR3BwMDk5ORQUFBAcHOySjdZGbNoTPXcfoDwZZ+poXz2QJpA5m7B2B/AN8BzwIPAu0N3Kca2BYOC4jjYKfJRBD3bky+82kHU5m8jyES6dW1yDKhyVlSkhcnueuHKcMvAECo8kzci6yNBX/8PGtBSHXdMsH1ocdVtTrquE+F31nrX3b6/ETFAYbflUYmIiqamptG/f3mpdszODSgBdwrbWRCgpKcnu/r+zIqtdW5skZ3k9T3HHC3b2HgJpAplD8ZYkqTawEpgqy/KXkiSlAXskSbpXluWfNMdVAhKAYbIzWXACv+eDsYP54tt1fLL4C151MO3LKBx5+NYme1kTVGVgyYWsi/z5919FWqYqNdxb9+ywO+fc1YcWS/td9Z615ysPKtZKzKBkhdU9JVIzk1pb0uSK8NqblOWJXa6Wclly7Ngxpk6dyvjx46ldu7bVtZUEMU/ttYY3veCS6GHbwq54S5JUEVgFfC/L8hsAsiz/IUlSEmbvu92N48oC3wLvyrL8s3dNFvgKFcqFUa9BYxb9kOQV8dZDTBwN7XBWTJVxpNMXfMbsZV+xcvOaQo1b/j59gmVrk9mYtkW9hnauuC37rbVptder3dXtBu35js4VYfXCuFPSZOt8hZiYmEKtSPVA29XMmXWnTp2qbgFoZ3Y7st3dpC/L81y11xVKoodtC7viLcvyRaBIv0JZltX/998oI5sPbJBleYHeBgp8mwlxHXnmndkcOXGMujVrOz7BBfQWE2fXs9f33Fbzl2Onj3MxO5OGteupXq52rrit6znbHc7e8c7i6FxfquP2BTwVAm3vcEWovJU45cq648ePL/RqDT2HrDgzvUwPSmJGuT306LDWHuiLOZTe68Z7g2RZ/l2HtQU+zuCH7mXMB/N5cepkkqbO13VtvcXE2T1feyJny5N/8ckxHDlxjM9en6pmrOeYct2yX4/7didqUVx5CIGGZfKb9tUSdwXIlXBx7dq1bXrcel3D0Xm21vLEu7eVVFhS8XgwiSzLKbIsl5JlubnmfwEl3BmZl/gwYTkZmZeMNqXYCSlbhk5dH+THlHXoneqg90AN7dAOZXDJwWOHiwwmsRxqYmvIiXZAyC+70zh47DC/7E5TbZ804nkmjXjeZfv1uG97w0v0xtEQGL3wZJCFkWtrh3g4GqihCP3kyZOt2pKVlcWsWbOYNWtWoc/dHdThyn27cw1bYmxrLXtDUuyRnJxsM6mwpCJ6m+vA/BUbeWmGecdgwuCHDbam+PlkZBcarPyWzxK/5D/9hrm9jrcTpiyTt2w1dLEMW9sKY1t6yDmmXHJMuUUS1vS4L2tr2Fu3OEPgxbVX7s1aXT3X9iTLPDY2Vh1akpiYSGhoaKFzlXIuwGofcldsc2aIiKe4ur4e3n0ghMxBiLcuDOnZqdBroHFLzapUr1yNOV8neCTezoqAu2JoLXnLWkMXS+HTvtpLJlOGnij75a7WV9tql2pr+pm39sZdpbgeFPwlS9mTLPPIyEji4+PVqVuW5yolbO7aam+ISFZWFomJ5khN3759dRFBV79Xd/MMAilRTUGItw5ER1UISI9by9jHu/Hi9AT+OnGUW2rWcWsNZ0XAXU/PlvBaK5vSYquNqeW1rXn21u7L1sOH9pwcU26hcjV7HdjsZaoXB8X1oODNP9DW1tZz/9kVodUmuimet9YWa6ND3bXNsjzME6/eGs7+zjxJNgu0RDUFId4ekpF5ifkrNjKkZyeioyoYbY5hjOn/IC/NWMCbn3/AvLc+dWsNZ0TAk45jijjamhKmCJ8inGBfoO3Zb+84Z8LwSpmZtbXtvefL5V7+VkfuTMjXmnBYCpazImitpErvumt7YuqMV+8tofQkfO+PrU/1+B6FeHtIoO93KwQFlab73c1ZlboeWZbVoQie/MG21+nM1lARe1gONNmy6xdmTZ5eZETnK0+N463nJjkUaHvY89adCcPbKldz9H36crmXLzxYuPJH05mQrx7CodhkMplUz9fTRizuEBkZ6dCr95ZQenJ//tiYRY/vUXfxvjFlLAGoBhQAs2VZnmFxjATMAHoAucAQWZZ36W1LcWBtv9tb3rive/kvDu5F59TJbNqRyr13dgDc+4NtzwN2VpzsNWTJyLrIrn2/sTp1AwtXJFpdW0/P0NJmZ8LwtkrSHH2fvlzu5eh3J8uy7g1MLHHlj6YzIV89hEOxSdvJzR1bigN379dyJrmt7HN38JXvxhX0+O/GG573NeB5WZZ3SZJUHvOUsbWyLKdrjnkAaHDjf22Bz268+g1aIZ0w+GG1XKxnx9ZMmPYVK1PMzyJ6euO+7uV3bNWEyPIRvDrzbVIW/Ai45wna84CdFSdHyVzK4JEeHbsxfcFnVhPQ9MLeus58P/b2zxX8ISTtzPfr7fCn3l6aHsLhrUxpb4S43b1f5QFFyaQH67/jQNm/1uO/G93F22LK2GVJkvYBNQCteD8MJNzogb5VkqRISZJuunGuX2AppMrPm3buZWXKLnp0aKl79rmvZ7VLkkTvx59k7ufT1GElzgqiVnzsecDOipQjUVTsspeA5gyeiqYz3482M97WtXwhJK0HtjxPvfBFL81Vm5wVOGtRBkfn2vvcE2FVfqfKTHJbv2Mxp9t5vLrnLUlSHaAFsM3ioxoUnjx24sZ7fiPelkKqvPbs2JqYVk29Etr2h6z2tx+7jbmfw+ykr3jxydFOn2cpPrYEyFmRcvahwdM9Ym+LprMhc1/e63YWSZJ8Tlh9EWcFzlqUITExkTlz5mAymazub1t2g7NXE+6KcGofUFy12R7+mKymF14Tb0mSygFfA2NlWbZsPSZZOaVIey5JkkYAIwBurhatu42eoBVSy73oRnVqFHkf8On9ar2oHBVB/Qa38sniOS6Jt7Pio7dIeRoqd9UeT0Z6OpPprnQ78+XwuTV+/3Ov0SbohjdGgWrXdFbg3IkyaNe2VxMO3hFOV232x2Q1vfCKeEuSFIxZuP9PluVvrBxyAqil+bkmcMryIFmWZwOzAVo3qWfYmFFHiWLakPm8KaPUYz5d+iNvzE4ix5RHeGgIL81YQE5uHuFhISVaxKc/9wgPjX6HtN930ub2Vk6d46z4+FpClqOpZZY4mt9tieUWgqNpZf4aPr969Sq333670WZYxdXQrF6jQO0NNHFXLPv27avWjjvCXk24tc/t4a3wti9ugxQX3sg2l4C5wD5ZlqfaOCwZGCVJ0hLMiWrZxbXf7U7GtqNEsSE9O6l73cranyb+yE87b3gTsvmYnNw8ft5zgHXb9qhrZWRe4tOlP4IMz/Z9QLXJ1zPL7XH/3S0ICwnjo68+JfHDL10611/FB7xju+XDiqNpZf4cPvfVPUs9Wnw6Ejhr4ubKQBNljcTERPLy8ggJCbHaJc2R2LnykOCKcPpLeNuf9tC94Xm3BwYBv0uStPvGexOBmwFkWf4cWIm5TOwQ5lKxoV6wwyq2hNieWGr3tW2Jbesm9Wh9az1VuN+YkwRAl7bNCh23btseurRpViiU/sZs87GKRz5/xUZyTHnq+76+z22JJEnc1aETqzas4tq1awQFOfefmWUDFneTwRydZ+9zW585Y4s94VTOj+vey+a4UWevYW9ama9FJkoCSvMSk8lEVlaWS/u74FyymDVxs8xCdyR62r7n4F6XNE/C0Pbuz1/C2/7ykAHeyTZPwfqetvYYGXhW72s7g62MbXvetbK/nZF5iaFTPlHLwBSxVd7r0aGl+QTN3d/drBHRURXIyLzEz3sOmN9r3ghALS3LMeWp3rlix+vD4/jvmEE+m1nuiE//051b1/3AF98s4Ok+jp/NMrIuMjJ+LKtTN6gNWNzNBHfkAdvrtGbrM8s1Dx47zCvT43l37GQa1q4H2BdOZ7xye3Zphd2ZcLtAPyIjIwkNDWXmzJketQ21JwzWHhDc2f81mUyq5+2OUHqS+W7v/vwlvO0vDxkQgB3WbGVsW4q6NU98/oqNrEzZRZe2zbi7WSNVbFem7KJ+rWqsTNnFp0t/5Nk+DwCQa8ovtNa6bXvo0aElz/Z5oNDDwuSRfa3a4W/hci0Na1enbo3aTE341CnxXrgikdWpG+jevrPNwSDO4ug8y05rULQJjOVnlmu+Mj1enUb29bQEdW1b3rMz92LPLn/eTigJ6PFH3d4arjwg2Buz6U7fc09Cxa6G9n0df3nIgAAUb1tYiro1T9yasCrvnbuYzUcLkskx5TN/xUb6de/A6P/OZV2aeX/72b4PFDpX2QPPMeWRkXlJ9c5d3ef25b3xN5/pxcBXZ7D/yJ80rtvA7rHWarvdDQE7Ok+bHGcZwrb1meWaLz45hiMnjvHik2MKrW1LZJ25F1vXPnjsMOu3bWbMwKeLNJVR8IcmLb6Eq4Klxx91R2tYTvhyJcTuCZ6s52po3xb+tNfsK5Qy2gBfZUjPToXC1pYiqXRUU46VgI4tm7B97yFemrGA0e//K9yLVm3hQvZl9SFAOS88LIQ3Zicxf8VG4N8HBuVnayjXzci85PQ5RtH/gXsAcwtQRyjC5U3hUTLZM7IuWr2m9nMls3vhikT1eC2/7E7j4LHD/LI7rdD7A3v2tdkX3Vks7Xplejwb07aw/8hBVm5ew6sfv83CFYmFzlEeGizfF1hHEazk5GSvrJ+VlUVCQgJZWVlWf7b2niJ+2ppqa/bFxsbq2swmJiaG9u3bExMT4/K5Wps9wdu/j5KI8LxvYCnOlp64koR27mI2EvDdT2kcOn6mSAY5mJPUmjesw7ptewgLKcOh42d49Pn32fTFm8TPSuR/Sas5duqcGi7v2bE18Z8nkpufz4RBsZy7mE38rESe7fNAEW/aMiLg613X2rW/l2VrljPj5XcpW6as+r4RnqKze+HK5/bKumyFwb2RMPbu2Mnqa8WIKKvX9ecscyPwdohXESOTyURoaKjVoSOO9sBt2ad3aHfTpk2kpqbSqlUrw0LGJSHkXtwI8b6BvYQ1bbLZbwePqkJdKaI8P+3cy+Zd6YWOv7tZI/rd34Hvt+xk/9GTVIooz/6jJ3n/q+9IXPMzAGu2/qaK95LVKWp2eo8OLf9NiAsNKWKLpVj7ete1OeN6cdtjP5G0ZjkDH+qjvm/EHq6ze+HOCGBxZnU3rF2v0L66vw0k8UVsCaBe4VtFhEwmk82hI3oKtFImBlgtEXPGVmt2FFc425/2mn0FId6YxTnHlMfrw+PUcjCtF64km3Vp04zmjepQJaoC3/2UxoXsy2zelU7Z4CDyr16jYf1beOE/T/Lgve34ImkluQWlqVu9CpUiy3Mh+zLb9x7iQvZlKkdV4Ks3niuUWf768Dhy8/PJNeXTsWUT2jStT8+OrfkwYXmh/WxfF2tLbq1bkypVb+KzxC8Libe3PEV7Hr2ze+EKtsZyCkoulh6zu6KliFFWVpbNdRwJlivCqS0TczUj3p4d/lQ6pRAo++dCvPk3JP768DiioyrwYcLyIqHpHFMeP/92gA8TkqkUUZ7cvCsElS7NtevXuaV+A6ZMmULnTvdSITyUrMs5DBvVmGGjxpOSksKUKVMAuK1eLcqFhTBpWG9W/7KbHJM5TI7EvxnoCebrPnhPK1Zs3uHTU8Sc5YGej/HVFx+Tl59HSNkQQF9P0ZWRma5QnN6sSDjzDSw9ZvBMtDzxKF0RTqVMTPm3O1gTPX8MZ/vjA4c7CPEGcvPz1VdLLxzM3i6yucFK/VrVOHT8DADXrl/nsd6PMv75CZQrV44rV6+ReSmH6wUFlC5VilKlStG4cWPmzp3Lt4sT+HXbz6xL28P2vYc4fyPhTAmT70g/zIfjnihU861gzQP3Jz4c0JKEuRKTZr7NRy+8qfv6zvb/toU14XRVTD0VX8uHjoysi3bboAq8gzWPWW+c9QxdEU53y8S0WBM9fwxn++MDhzsI8QbCypZVX5WOZ/8dM6hQ+ZYi8FeuXKNmlYqcOHeRQb17MnHKFLo/+BChISEsTUoiOto8QCU4qDSnzpwlLi6OvLw8vvl6Gd+v20RwUGnOZ16ifq1qDLj/Hvrd3wGAlSm7aN2kHuGhIYUy2uHGnngxdFvzVtlZxYjytLvjThasWOKWeDsSRssyM1e9ZWveuqsevKcev+VDh6M2qN5CRADMOCNa7oZnnfUMXRFOPULFJUX0/PGBwx2EeGOuwVa6pSl0aN6YnmPeoVqlSL5cvoGbq0VTt3oVjpw6px4z/D+juCZDSEgIBw4eJC4ujm+//Zbq1atz+vRpevfuzcGDB2nUqBERFSowZcoU+vbtS+WoCiRPf0WdPvbhuCcAOJ95SR1k8myfB9TObcXVbc1RD3dX0T4MvDCoE488n0baH7toc1tLl9ZxJIzemAzmqgfv6R6+5T04aoPqLUQzGOdxNzzrbJ9yZ8U4KyuLyZMnk5qaWsQWb+z/Wq7pzjUCZV/amwjxBrVpyvwVG83tSnPzeOL1jzl0/AyVIsoB8PeZDOpWr0JUhXAyL+Vw8803U6/xbQAsW7aMxx57jIM3BHzRokUMGDCAgwcP0rBhQ5YtW0bN6jcRERlJ08YNaVQ9itHvzyX+6b6k7N5PjilP7dwGgKzp5tamGUjm0Lm3m7HoXXamfRh4flAsoWVDeP3jd1g1a5lL63i7DMqa+LvyQKBH2N2aTUp5mjtjPt29vig5cx53RdjZPuXOPhgkJyeTmppK+/bti9ji6jrOHGt5nDsPMYGyL+1NAka8nR3ruXbrb2opWP1a1bin5a3sP3KSMxlZHDl1jqEPd2bpmlTatGkDmIdwREdH8+233xIXF0d6ejrNmzcHoEmTJixbtoyIiAiy/8nlekEBt97WjGXLzOL1y54D5JjyVc+6Z8fWLFmVooo1oA4o2ZF+mJUpu1i79Tfubtao0LATvdA7k137MCBJEoMevIcvvl1P5qUsoipEOm+Xj5dB6RF212IpvO6s5e71ff279iX0FmEtjh4MbM339mQgiLPHWh6nvMbExJCQkOCUN11SQvRGEjDi7cxYT4DzF7PNZWFtm3H3HY14Y3YSXdo2o3eXuwgrW5afbwhupUqVAJAkKCiQqVGjBosWLVKFG2DRokXcdNNN5N3IAgWoVKkSNapUJDcvn8xLOTSuU0MV4ozMS+zYZxZppcZb2ffOMeVz5eo11m3bw7ptewgPK1oD7mtYPgx8MG4ws79Zy7frv+fJRwYaaJm+eBp2dyTW7njDwoP2Hq6EfN0VKb1Gd7qy/+vssZbHKT8nJCQ4/aASKPvS3iRgxNtRSFg7OQxg98GjdG/XXPV4123bwzNx3bly9Ro1qlTkwoULAEhIgMyZ06cZMGBAoTUHDBhAUlIS1atVRUYmL/8q8rV8Tp67yPODYtl35ASThvVm/oqNdGjemGHx/2P/0ZP06NCyUKZ7eKi5jerrw+O4+45GRbLR/YVyYaHcfFNNPpj3sWHi7Y2ELE/D7o7E2h1v2FMPWiSuFcba9KydO3cSHx9vV8C91e/bFz1XX7SpJFPixVsbLrflqWqPAdTOaGWCg5g3ZRSPT5zOurQ9LF3zMxeyL1O/VjWa14wgPDQEWZY5feYMjzz6KAcOHKRJkyYsXryY/v37k56ezqOPPsr3ycsJK1cegB/XrKdxnRoM63UflSLKq0lplSLMjVwqRZTnw3FPFAqJl5RJYwCvPdWT4W9+xqG//6L+zbcU+/XdDSd7U8z0EGu9EYlrhbGcnrVz505SU1NJTk7WTZwtf/a3EZu+aFNJpsQPJrE2uEM73EOZ0a0c8+nSH9l/9CT1a1VTveL4Z/rSuE4NVVwPHT/DqVMn+fnnVP4+cZJHHu3NgQPm5LRvvvmaOrVrk5SURMOGDTlw4AA9H36YS1mZpKSkUJar7D96kiWrU1ThVtYGuJB9mSWrUwrdgxIV8HfhBhj4YEeCg4OZNPMtY67v5uAQRcxGxo+1OqjE21gOVfE2egxY8SWsDQZxBe0wkMjISOLj4x0OB3F0TcthHJY/uzuAxNN7FfgHJd7zthYu1+5/g7nGWglVf5r4IwAD7r+HlN37eWnGArq0acb+oyfp2LIJuXn5XMi+zKIfN7Px92PMm/clJpOJhg0bkpSURPnyFcg1mYiMjOTbb76m92OPkZ+XT9mgUlw+vIvk6a+wYvMODhw9ycqUXdzZpB4xrZvy4D2t2L73kLlPuly831FxUiY4mBat27Fu609cv36d0qVLu72WO96wduymKxncA3v2ZcuuX1iduoGFKxJ19Uad8XKL2xP2Be9fTzzNbra1z+vMNW2F120lfimv7nqyxZnJLUq+jKPEi7e1DGprgq6EpK3VfO8/cgKAq1evsSP9MABZl3O5evQv3n77HZKSlhISEqo2aAkpE0ypUhLhodVZsXw5pjwTQRcO8ffRv9i3bx/hoWXZuP0PAPb+dZzt6Yd5fUQcbW6rT5mgILVxS0nli3G9aNZnM9+sX0Fct15ur+OJoLl6bnRkRWZNnq4+LOiJM8llIgHNM4zYj7UWXrcUO2cfCLTnAXYFszjvVZR8GUeJF29rWAq69t+WNd8Ah0+cBSA4OIjnB8Wyfe8hADbvSufP33cxZMhQ3nn7LaKjoykTHESpUhKybC7z2rX7N6ZMmULdSqHqtDCAoQ934tyabHJM+fTo0JIcUz4fLTCHy1Zs3qE2cLHEmS5o3uqUphdN693MTdFVeWvWRx6JtyeC5s653vJGnVm3pHnCWlJ2bQXMAzW8hRH7sUp43VJ03RE77XmA3TVc6Q7XokULvvjiC8aPH0/t2rWdtkfB2oOC8MaLh4AUb0coYfV5yzew/+hJJgyOpUxwEM0b1uGFJ3oB8EHCd5QJCmLcwId4fupXPPJob554tAf3depI6h9HqBoRyrzFX3P8+HG6tG3GpGG9uXL1Gg1rVycspAxpfxwix5RP3RpVaHJLTfXaXdo2s5tJ7kwXNL07pXmDF57owfiP5nH01N/UqX6zW2t4ImglWQzBv7LF/++HpQC8+uqrBluiP5ZC6qpXrAhhTExMkfNiY2M9btFau3Ztjh07BsCMGTOcPl/B2oOC8MaLByHeGhSPtWfH1mzauVdNJuvU+ja+25jGum17CAspS3hYCB8mmL3kE+cusP/oSRrXqcFLj3dnyaoUZs1JYsKgWPrc24LfDkYx88VhrNi8g3Xb9tD1rjsA1BngR06e48OE5EItUC29Za0n7UwXNL07pXmDZ+K68cK0BD7+v9l89IIxyWslGX/MFg8LCzPs2sXRRhRcjwDYEkLl367UVmtRHgK0nrde+FLJWEmOAgjx1qD1WOdNGaVmgz8/9St1khgShUaErtu2h8pRFdh/9CSj/zuX5o3r8PygWMJCy5Jjymfdtj2M/u9cZr40DPhXUHNMeeSa8pGB8NCyPNvHdsc0S0/akTftDzO/ywQH0/LWZiz6YRkfTngTSZKMNqlEoWwH9OjYrVBinj955MWJN7xFPdZ0JITuevKxsbGqTe543PbwpZKxkhwFEOKtwbKeet6UUWoDlcmfJ9K8YR0a16lBk95j6NbuDpo3qgOYR4U2rlODdWl7WJe2Rx3zqfQqX5e2hxWbd6h76UN6dmLySOf3Wv3Bk3aH98f0otOIyazftokud91b7NcvyUKmbAtMX/BZIQ/cHz3y4sBTb9Ebs7Cd8RpdnTxma4BJScWXogB6E/DibZncpRVYbde1rnfdwZCenbgtbiwXsi+zeJW5Fvv5QbEgQ8M6N9HpztvYe/g4tW+qzITB5vebN6xDWEhZdV139qL9wZN2h46tmhJZPoLXP3nXEPE2WsiK4+HBMjFPZK1bx1Nv0dLD0yNcq7fXaG+ASUnFl6IAehPw4m0pqNYEVvve/PhRPD5pOiFly/Jo5zaEh5ZVPe76tapx6PgZNu9KV73vCYNj2bHvMBeyL6t76T07ti60v75i8w711VczxL3FfT168e3SBWT/c4mIcsV730YLma2HBz1F3TIxr6Qn6hmFpYdXHCFzT9YTozv9n4AXb8uQtFZgrR0THVWBu+9ozMqUXRw9dZ7JI/qCDD/vOaBOI9Nml3+9fitHTppngMe0asrKlF20blJP7ZmuJMYpr+C7GeLeYNbTnfg68Ss+WfQFk0bolzTjDEYLma2HB6MjAgLX8TSr3Jk1XcVSeN1ZryTvGfs7AS/eliHpFZt3sDJlFzGtmqq11tpjMjIv0eSWmly5ck3tQf5s3wcAaHjzTfxx+DjNG9Zh9S+7VTE3zwD/hw7NG/PfMYPIyc1TM9knDetNTKum9OzYmphWTUvcvrYjoiqUo0GjJsxKmscrT42lVKkS37FXxdbDg9ERAYHn+EK4Vo9QfkneM/Z3AucvpRW0Pc4VhvTspM7WtvwM4NPEH/kwIZm772ikivuniT/yxpwkDh47zeZd6Xy4IBlkeH1EHF3aNCPzUg6/7DnI5M8TmTD4YZ7t+wA9OrRk/9GTpOzez5CenQIyZK4w9T+9uJidybFTx402xSdQRL2kJdEJihfL3uiWvdOdQXkI0TNkLnqv60NAe97W9rcVL/vDhOW8NGMBm3buZd6UUf+KqlLRpK1suvHv5o3rcHdz88hO7YzuuBc/ZPOudO5oWEe9hpLJ7kkiW0mhU+umlAkuw0vTprD0o3lGmyMQlAi8EcrXAxGK14eAFm97JVhDenZS96Hnr9ioiuqzfR4gNy+fn3cf4MDRkzSqU4Nn+5jD5sgUqdeOjqpA0vsTCo0cVd5X1iyppWDOEhpSlo73PcCPq5ORZVnUfAsEXsAXQvngOw8R/k5Ah83tjdpUvGOl65kSYgdI/+sE69L2MGHaV+qxyPDGnCR1KhlQ6Bx7Iz1L0shPd/n06S7IsszspPlGm1KiKe7Ronrhq6HW4rJLuc6xY8eKXM9XvxtbeCMUH4gEtHgrWNv7hsKi+mnij7w0YwGfJv7IpGG91WQzhdz8/EKvYH2WuMA69WvdRNVKlZm1bL7RppRolEz2hSsSjTbFJWzt1xotXO7sI3tynalTpxa5nvLZ5MmT/UbABZ4T0GFzBaf2nG9EcnPz8nl77tdqstldzRoBEFa2bKFXEOFwVxn3eHdenrmQIyeOUbem6xOOAhVX6sL9NZPdVqjV2/unjjK0iysErKwfExNDq1atigwosRw9Kij5CPHGOZF9ts8DhIeGcD4zW219qmSkD+nZyeoccHc7o8myzNVr11y/ER05n3mJLb/uK9Zr1qhiFp6Xp8eT+OGXxXptf8aVunCja9vdxdZ+rR7iaU+gHT0cFNc+svY6ltezNnpUNFcp+UiyLBttg1NElAuTbc241pPr1ws4cuos1wusfy95+Ve4cvUaZYKDkCSJ/CtXKVsmmLJlgnWzQbmG0Sj3WJxcvXqVAhmeHzKK+P+8XKzX9lf8vUf7M2+OZ8GKpezYscOQ6yuTuUaPHl1EGP1VBO3dk7/ir78LT2nduvVOWZZbW76vu+ctSdKXwEPAOVmWb7Py+b3AcuDIjbe+kWX5DUfrFgQFcz26so6W2qZzp3uIjK5k9bO8XBMHd/9Bw+bmW1P+HRIWWuRz5T1XCQkLoU2XjpQqXdq9G9CB0kGlKR8ZUezXlWWZ3vXu4qP5n9Azpjutm7Yodhv8DX/1pn0Fe957cWZoOyNOzgpYSczoFiVmhfFG2Hw+8AmQYOeYLbIsP+TKotVurkH8gk88satY+ObzBLav38JtbVvSa/jjAGRfzGT90hXc16cnERWjDLbQt5EkiemrF/PsfXHcN+xhMn8+GlBd1wTFj6+UUDkjTs4KmB735Guebkl8IPEE3cVbluXNkiTV0XtdX0cR6DZdO2LKzSUv10T2xUwiKkaxfukK5r1jnpn76NPG/5HwdW5ucAtPvjqGL9+aQePYthz8frvRJgkEXscZcSpOAfM1T9dXHrJ8BaMS1tpJkvQbcAqYIMvyXoPscAtrnrQi0Hm5Jg7t2ceODeaRoSFhobTp2hGA+/r0tHm+oDCPjBjM7i3b2LVpK73HDebrafYCOQKB/+OMOBWngAlP17cxQrx3AbVlWf5HkqQewHdAA2sHSpI0AhgBULlGtWIz0B7ZFzOZPn6KKs6KJ60Isyk3lx0bUmjduQMyslWPW3jizhG/4FOeatGZ1akbWJWyjvs7dDHaJEEJwtfCwr6G8HR9m2LfTJRl+ZIsy//c+PdKIFiSpGgbx86WZbm1LMutjfJQsy9m8s3nCWRfzATMwquIsyLYABEVo3j06cE8NKQvQyeOYdhr4wDoP3ZEoePALPRDJ44p8r6tawYyn/5i7lj32PghnL+YYbA1gpJEcTVYEQi8QbF73pIkVQPOyrIsS5LUBvMDxIXiuLY74WrFSzbl5hIaFlYoBG5tDUXEv/k8gSXT59Bv7PAi11SOcXRNEJ552ZCyzFyzhNHd+tHgwdZcSDlMaQOz8AX6s2X3BkOuK8LCAn/GG6Vii4F7gWhJkk4Ak4FgAFmWPwceA56RJOkaYAL6ycVUbO6OKCrecV6uqdC5infcpmtH1iz5jr/2HmTghKdJT9vNfX160qZrR37fupPLF7NZMn0Oqxd9w2vzplOzXh2nr2nLMw806jZuwIg3XmT26+/Tpn8Xdi4V7WZLEn+fvEhERPGXJYqwsMCf8Ua2eX8Hn3+CuZSs2HFHFBUvWQlhm3JzVQ9+3jsz+H3rTnX/+8Lps5w4fJTft+6kQbMm7NiQQtVa5sYyp44eZ+6b05g8fwYnDh9l7pvTGPbaOKfEXAA9h/Rlw8LvOXAwnVFvvcAnr35gtEkCHYmKKvmJm2KPXaAnAVVAqwixrZC5dq/Zct85omIUeSYTS6bP4evPvuK+Pj3pN3Y4VWreRP1mTahaqzpPTR5P684d2LEhheyLmZSPjODs8ZMAlI+KoO/oYQDMfXMaOzakMPfNaVavrTwYrF+6wsvfiH8xbd0CwkPDmJ+8mO82rDTaHIHAJcQeu0BPArq3ueUe+A/zl7J4+mzyck2EhIUWCbH/tfeg+hpRMYrQsDCWTJ+jrvf9/KUMe20cDZo1YdN3P3I5KxuAqrWqc/b4KX75cSPpabtVEe87ehiLps5CxrxroKzVpmtHdm3+hewLmWqtuMDMwj828Ei9uxj08gjObf6T0BD3utj5I/7eBjXQEXvsAj0JaPHW1maHhIWqXnaeycSDQ/oAhUPsT7/5ohruBrPIpq3fQp7JxD+Zl9ixIYXb72oFmMPkVWtVp3XnDhzdf4izx09xeO9+fktJo3XnDgx7bZzqgQM079BWzUxfv3QFv6Wk8VtKGhGVotT3RF04BAUH88qsD3h35AvU6no7GVsOGW1SseHKABKB7xEZGUlsbKwInQt0IaDFW1ubPe+dGdzRoQ0AZUNDimSEZ1/MZNPyVTRo1oTyURFkX8xk7pvT2Lttl3pM9Tq11AQ2gMrVq1E+KoK923ZRvU4tatxSm+tXr7FjQwon/zrG6aPHad6hLTIyu1O20aLjXURUNIu1KTeXK6Z8TLm5akQARPY5wN0PdOahIX35fn4izR/ryO5lm402qVjw13Gegn/xta5lgUZJyjvwm6liDZo1kaf9sNAra2tbm6at3WzVw/3m8wQ1jN68Q1uuXr3C3m2/mpvHyDLnT50FoGnbloDM3m2/AnBTnVpEVIxi/6496s+njx4HUD3wTctXISHR8eHuha6vXLPf2OGEhoUJz9uCFzrGsv/oSV4bOYGXho012hyBm1S462Zuvvlmli1bZrQpXqckiYc/4o/T1optqpg/ovWytdnf2j1xxRv+/Zcd7E7Zph5z/uQZwOx1nzp6XPXEzVnmsirU5veqc/rocZq2bcHt7Vrz0JC+rF+6giXT5zB04hjS1m4utM+uzY4Xol2Ud9Yto2/je3hz1ofc1zaG1rcF9gQysSfu+9gqT3Mk6kL09aEk5R0I8baDZV344+OfZtHUWezd9itN27Yg35TPoT3pNGrZjKdeH8eS9/5H3Zq1qVSpEhcuXKBig5qkbtjM9avXaNHxLo4dOMzZ46do1u5OBowfSfbFTPJyTTwychB5uSY6Ptwd+Dec76iZS6ATXKYMs1NXMLTtA9z7ZE8ythwipGyI0WYZhtgT918chdNFuF0fSlJtvxBvCyy9bSictPbgkD7km/I4sPsPsjPMjeGaNLmVmFvuYMDX3wFQqlQpyoSUJSQ8jJQuWxg7ajS/bt56w+tuyb4dv3Hi8FHS1m5m8fTZanlZSFhokX12kahmn+ibqjBpzke8Pfx5GjzYmr/X/o4kSUabZQhiT9x/ceQRliSPUaAPAVXn7QzaGuvLmdnmLmmZ2YWO+WX1RvZu28X5U2fp078fk8a/SFjpMurc6YKCAq5du0Z+romba9Zi7ty59B80gJDQUHIv/8PulG28MXQs506cpmnbFlStVd1qD3RR7+0cd3W/l3se6krmpSy6Dn/EaHMMIzqyImMHPSNC5n6I4hHaCok7+lwQeAS0eFsbAKIdGmLZTOXE4aO83PspdR+7VZvWjH1uNI/2eoRHH3mUc+fOAWbP+9qVqxw/9je9Yh+mf//+xPXoRd06dTh/8gw169Xh9NHj/JCwlL3bfuWHr5YSEhZKRMUoThw+SvyQMZw4fNTqABPF5hOHj4rhJRpe/N973Fwtmq17dpCQvMRocwQCgcCrBHTY3Fqvc+0+87DXxnHtylVqNahL9sVMPnn5bU4cPkrl6tWofsvNvPjc84SXK0dISAgHDx4kLi6Ob7/9lpq1anHq1Eni4uI4ePAgDRs2JCwsjDfefJO0swc5vGc/V69c5ezxkzRt25KGzZuSfSGT/5v6Ob//soO9237l1F/HeG3edNVWJYRuys1lyfQ5hdqyin1xMzNSv+fR+u34z1sTuLNpS26t11CXdUUimEAg8DUCWry1e9rZFzP5fn4iEhIPDulDRMUoykdFEFQmmG9nLeD4n0e4dvUaABWrVeGerp3o2r0bpYNKs2zZMh577DFVwBctWsSAAQNU4U5KSiI6OppatW9m0/TtfDMrAYA7OrThhU/eKfQQcVvblsC/vdB3bEhRe6Uvnj6b/mNHMHTiGNp07cjtd7USw0s0BAUHMy/tR4bceT93D+rGxdQjuux/i0QwgUDgawS0eGu9bGWEp0JIWChZFy6yY0MK5aMi2LEhhaZtW9K0bUuuX73Gmd8PA1BwvYBKlSqxfPlyevfuTXp6Os2bNwegSZMmfPPtt0REVFCT2OrVrqteo17TxmpTlrxcEzIyre69m/nvzkRCUtuo7tiQQq0GdWnduQMdH+6ulrOJoSZFqVS1MnGjnyRp5pc0efgu9iVvc3ySA0QimEAg8DUCWry1KP3E6zVtjIzMvHdmcFOdWgBczsymZr067N22i4iKUWRfzCTmznYUXC9AKiUhSRLVqlVj0aJFqnADLFq0iBo1anApO5uC6wVcycun5d1t1F7nSk/ziIpRDBg/EjA/RCgNXhJnzmXYa+O4/a5WmHJz1farQrTtM3jCs/yesp39u35n0CsjWfDuLI/WUxLBBAKBwFcQ4n2DtLWb+S0ljZYd23Ffn54c2rNPHekZXb0KQ14ZzYzn4zlx+ChlQ0K4cOECV69coaCgAIDTp08zYMCAQmsOGDCAZcuWqbOKCwoKWLEgibPHT6nH/N/UzwuF6hUvPH3HblWslZGkSpc1gWM++G4+j9/agW/X/8COP34N+AYuAoGgZCHE+waW3cz6jh7Gn7v3cvb4Sc4eP8nGb1bSrP2dXL1ylcatbudi7mWU1rIZGRlqclqTJk3UPe/09HR69eql7nlfv36dxK/MLV4b3NGEdUuT1TK0Pb/sICg4iKfffEkdinJL00bk5ZrUyWIiMc01Pvv5ex6/4z7ufbInJ9enE1G+gtEmCQQCgS4EdKmYFstZ34kz55J9MZOyoeaOXZuXr2ZlQhJnj59k03er2JeezpYtWwoJt5KcVrt2bZKSkmjYsKGaxHY55x8O/HWICtUr02NwHGf+PsnlzGzKRVTgpjq12LttF7+lpDH3zWmsX7qCxdNnc/zPIyyePlvUebtJhahI3v9mLgC1uzdToyQCgUDg7wjP+waW3cyGvTaOq1euUKX6TfyRtkut7S4XUYGOD3dHQmLKlCnMnTuXvLw8VbijKkaRm5tLZGQkSUlJxMXFkZeXR05uLiOHDGPfvn2AzOXMbEqVLk2ZkDKcPnqc29q2pHRwkDpu9PetO+k7eliRjPLsi5n8MH8pMjIPDekrOq854NbWzRkwfiSLps7i3qEPsfmrlUabJBAIBB4TUJ63taYsCpbdzGrWq0PLju1Yu3Q59/Z6gEdGDqJ8VAT/ZF9iT+p27n30AS7+k827775LYmIiy5YtIzo6mqCgf5+HoqOjWbZsGUuWLGH6zOk3hBuuX73OTXVqUXD9OhfPZlCzXh1envU+by36jJr16pC2djM7NqSQnra7UDRAsXPx9NksmT5HeORO0n/sCGrcUptd+/Yw+dP3jDZHIBAIPCagPG9rTVkUrPUxV/7dpmtH5r45jcuZ2WoXtBnPx3P2+ClWHD/FoUOHeO/9/1K9Zg0ASpW+TsH1ArNnXbEcP6z/ngvXctV1ZWRaxrTjh6PHKRdRgTEfTQbMmea2eqprbVLKykTymvN8tvFr4hp24KOvPuH+9p1p17yN0SYJBAKB2wSUeNsSxf279jDj+XjGfDS5kJer7IN/83kCOzakcEeHNtS8pQ47NqZy4vBRGrVsRtb5C+zbt4+He8bSpsPd3FytOpUqVeK6JBMzuBeRNasSWfcmfp3xGQ3uaMKfv6VzYNfvNL2zBTXr1eHE4aOkp+1m10+/sHj6bPJyTQwYP9Jmcpq2rEzgPJIkMX/nKvrfdi/dRvbm77W/E1Uh0mizAp7sy5coKChQ5wIIBALnCCjxtpWxrZSAzXg+ns82fl3kc0Xs83JNLJ4+W31fAs4eP0m9Zk0oV6E8PUb048PnXuWf7EsAXJBN9H7mCaYMfo6cS/8QWSWapjc6qMnInDh8lJr16tCma0fWLPnOfA2TSee7FiiUq1CeCZ+8w4ejJtK4ZxtOb9wvRMNgvl6bDMDzzz9vsCUCEHPD/QnxlwsY89Fkataro4avLVFE/8Ehfeg/dgSPjBxEv7HDKR1cGoByFcrx1qL/cWz/YVW4Af7ae5D1S1eQc+kfAK6a8ti7bRd7t+0iJDSU1p07qKNBQ0JDAdRXgXeIie1O134Pk2PKpeuIR402R3CDRo0aGW2CgH/nhicnJxttisABAeV526Jxy2ZWPW5LLEPWJw4f5fPX3qfGLTfzf1M/p9W9d1O9Ti1OHT1O2dAQHhnxOFVr1WDz92s5e+wEz7zzMsf/PMIVUz4ysto9TfHsQ8JCxT52MTD6/dfZvj6FbXt28OG8j5kw9DmjTRIIfAJvzQ0XHr3+CPH2gPJREQSXCWZlQhIAh/bs49TR42oL1S/ip3JPz24c3pMOwIk/j/LQkL5MHz+FHRtSkJAICTN72qIJS/GSsGM1j9xyF1M++y93N2/L3S1EAptAoMwN1xvFowe8sr4jSuLDQ4kKm9srBbP3ufZ9a8fYOm/90hU3Etna8sjIQdzc4Bb6jR3Oq19OVZPR9vyyg6q1zFnoMrJ6TuvOHdQe6krJlyP7BfohSRJf/GwODd7/9GNqtzyBQKA/sbGxjB49WneP3llK4nZAifK8lVIwU26u2gfcskbaWqnY9/MTWTJ9jnqe5THWzsu+mElerol+Y4fz0JC+6jFDJ46hcctmvPf1F6qHDea68ZiH76d8lLnPuRIe1/Yrt1fKJtCf6Juq8tTrz/PFGx9Rv0dLDv/4q9EmCQQlEm959M7ire0AIylR4q3NCrcmgrZKxSQk9dXyGK1Ia89TmqUMnTiGiIpRtOnakd+37qRN145qt7Zhr42jfrNb+eOXnfyxbRebl68uUgbmjH0C7/HwUwPYnbqNHetTePA/ffnhf4lGmyQQCHTG6IcHb1CixFvZN86+mGk1+cvWvvKDQ/rYTBazFGmwLuiblq9ix4YU6je7FQmJxdNns2rRN7w+bzoAf2zbpY4AdWS/oHiZPG8GT7S5n007Uvlu/Q/0uu9Bo00SCAQCu5SoPW8FyyEjrhxv2Sb1vj496Td2uDrdC/4V9NCwMPUaWu9dEenTR48z981pPDSkL0MnjuGhIX31vlWBTnyRsgJJkhj4ykhOnTtttDkCgUBglxIp3p5wX5+eDJ04hjZdO/LN5wmAeV9aO91LOUbrqT84pA9DJ47hwSF9aHXv3VStVYNGLZsx7LVxhR4ORFKabxJcJphP15urBu7ofY9IYBPoRlZWFgkJCWRlZRltiqAEUaLC5nqgbYmq7Jtb7kVbC29HVIzivj49Wb90Bb9u3srZ4yep1aAuNevVKXScSErzXWrVr8uDQ/rww/yltIq7l13LNhltkqAEYHSZlKBkIsTbBlrB1u6lK8NDrIXkFWF+ZOQggsoEq+M9ba0r8D2efuMlzqbtZEf6YUbGj2PW5GlGmyTwc0piprPAeIR428Cad+3Ia7YUfGtiL5LSfJ/Jq5bSp0F7/u+HJB7rGkvXuzsZbZLAjymJmc4C4xF73i5gba9bi2WinGXym8B/+N+mbwB4ZOwgzmdmGGyNQCAQFEaItwu4ksVuqz5c4B9EV6/Kq1+YQ+ZNYu8y2BqBQCAojO7iLUnSl5IknZMk6Q8bn0uSJM2UJOmQJEl7JElqqbcNvoC1cjKBf9G2W0fu69MTU34enZ8UD2ACgcB38IbnPR+4387nDwANbvxvBPCZF2wwHEchdoF/MPbDKdxUuyZpf/zKK9PijTZHIBAIAC+ItyzLm4GLdg55GEiQzWwFIiVJuklvO4zG1UYxAt/lfxu/pmyZMny8eA6H/v7LaHMEAoHAkD3vGsBxzc8nbrwnEPgkQUFBfLblWwBaxt1LXn6ewRYJBIJAxwjxlqy8Z7WdlSRJIyRJ2iFJ0g7RkUxgJJVvqsYrn79PgVzALQ+0EB3YBAKBoRgh3ieAWpqfawKnrB0oy/JsWZZby7LcWoSfBUZzd4/76N7/ES79c5k+zw812hyBQBDAGCHeycDgG1nndwHZsiz77SQI0as8sBj131eJiKzIjynrmL1svtHmCASCAMUbpWKLgV+ARpIknZAkaZgkSU9LkvT0jUNWAn8Bh4A5wH/0tqE4EY1YAo/5u36kVKlSjH//VdIP7TfaHL/m+JmTRpsgEPglurdHlWW5v4PPZeBZva9rFKJXeeARFBTEVztWMahlN+4edD+ZPx9Bkqylcggc8VnSHADKlStnsCUCgX8hOqx5iCgJC0wioyvx+ISnuXb9Gg0ebGW0OX7LtesFREREEBQkxiwIBK4gxFsgcJN+o4dzX5vbOZNxjkfGDDLaHIFAEEAI8RYIPGDssvmUrxDJ2l82sn6rmP8tEAiKByHeAoGHzEoxTyB7ePTjZGZnGWuMQCAICIR4CwQeUj4ygve/mwdAo553UlBQYLBFAoGgpCPEWyDQgVtbNqPnk/3JzTPRpv99RpsjEAhKOEK8BQKdGDFlArfXv5n9R/7kv3OnG22OQCAowUj+0qNZkqTzwDEvXiIayPDi+gLbiO/eOMR3bxziuzcOf/rua8uyXNnyTb8Rb28jSdIOWZZbG21HICK+e+MQ371xiO/eOErCdy/C5gKBQCAQ+BlCvAUCgUAg8DOEeP/LbKMNCGDEd28c4rs3DvHdG4fff/diz1sgEAgEAj9DeN4CgUAgEPgZQrwFAoFAIPAzhHhrkCTpTUmS9kiStFuSpDWSJFU32qZAQZKkDyRJ2n/j+/9WkqRIo20KFCRJipMkaa8kSQWSJPl1+Yy/IEnS/ZIkHZAk6ZAkSS8bbU+gIEnSl5IknZMk6Q+jbfEUId6F+UCW5WayLDcHvgdeN9ieQGItcJssy82Ag8ArBtsTSPwBPApsNtqQQECSpNLAp8ADQBOgvyRJTYy1KmCYD9xvtBF6IMRbgyzLlzQ/hgMim6+YkGV5jSzL1278uBWoaaQ9gYQsy/tkWT5gtB0BRBvgkCzLf8myfAVYAjxssE0BgSzLm4GLRtuhB0FGG+BrSJL0NjAYyAY6GWxOoPIkkGi0EQKBl6gBHNf8fAJoa5AtAj8l4MRbkqR1QDUrH02SZXm5LMuTgEmSJL0CjAImF6uBJRhH3/2NYyYB14D/K07bSjrOfPeCYkOy8p6I8glcIuDEW5blLk4eugj4ASHeuuHou5ck6QngIeA+WTQg0BUX/rsXeJ8TQC3NzzWBUwbZIvBTxJ63BkmSGmh+jAX2G2VLoCFJ0v3AS0CsLMu5RtsjEHiR7UADSZLqSpJUBugHJBtsk8DPEB3WNEiS9DXQCCjAPH70aVmWTxprVWAgSdIhoCxw4cZbW2VZftpAkwIGSZIeAT4GKgNZwG5ZlrsbalQJR5KkHsB0oDTwpSzLbxtrUWAgSdJi4F7MI0HPApNlWZ5rqFFuIsRbIBAIBAI/Q4TNBQKBQCDwM4R4CwQCgUDgZwjxFggEAoHAzxDiLRAIBAKBnyHEWyAQCAQCP0OIt0AgEAgEfoYQb4FAAKijQfMlSaqteW+GJEmHJUmqaqRtAoGgMKLOWyAQACBJkoS5+9evsiwPlyRpAvAi0F6W5T+NtU4gEGgJuN7mAoHAOrIsy5IkTQR+kCTpMDAJ6KwItyRJycA9wHpZlh8z0FSBIOARnrdAICiEJEk/Y5453VOW5R8173cCygFPCPEWCIxF7HkLBAIVSZI6A3dgHlt5VvuZLMsbgctG2CUQCAojxFsgEAAgSdIdwDfAc8B3wLuGGiQQCGwi9rwFAgE3MsxXAlNlWf5SkqQ0YI8kSffKsvyTsdYJBAJLhOctEAQ4kiRVBFYB38uy/AaALMt/AEkI71sg8EmE5y0QBDiyLF8EbrXyfl8DzBEIBE4gss0FAoFTSJK0DnMyWzhwEYiTZfkXY60SCAITId4CgUAgEPgZYs9bIBAIBAI/Q4i3QCAQCAR+hhBvgUAgEAj8DCHeAoFAIBD4GUK8BQKBQCDwM4R4CwQCgUDgZwjxFggEAoHAzxDiLRAIBAKBnyHEWyAQCAQCP+P/Af7QcIXmAFbtAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code\n", "plt.figure(figsize=(8, 4))\n", "plot_decision_boundaries(kmeans_rnd_10_inits, X)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "211.5985372581684" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_rnd_10_inits.inertia_" ] }, { "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": "markdown", "metadata": {}, "source": [ "### Accelerated K-Means" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The K-Means algorithm can sometimes be 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": [ "For Elkan's variant of K-Means, use `algorithm=\"elkan\"`. For regular KMeans, use `algorithm=\"full\"`. The default is `\"auto\"`, which uses the full algorithm since Scikit-Learn 1.1 (it used Elkan's algorithm before that)." ] }, { "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": 30, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "MiniBatchKMeans(n_clusters=5, random_state=42)" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.cluster import MiniBatchKMeans\n", "\n", "minibatch_kmeans = MiniBatchKMeans(n_clusters=5, n_init=3, random_state=42)\n", "minibatch_kmeans.fit(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: Throughout this notebook, when `n_init` was not set when creating a `MiniBatchKMeans` estimator, I explicitly set it to `n_init=3` to avoid a warning about the fact that the default value for this hyperparameter will change from 3 to `\"auto\"` in Scikit-Learn 1.4." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "211.65239850433204" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "minibatch_kmeans.inertia_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Using `MiniBatchKMeans` along with `memmap`** (not in the book)" ] }, { "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": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import fetch_openml\n", "\n", "mnist = fetch_openml('mnist_784', as_frame=False, parser=\"auto\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's split the dataset:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "X_train, y_train = mnist.data[:60000], mnist.target[:60000]\n", "X_test, y_test = mnist.data[60000:], mnist.target[60000:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, let's write the training set to a `memmap`:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "filename = \"my_mnist.mmap\"\n", "X_memmap = np.memmap(filename, dtype='float32', mode='write',\n", " shape=X_train.shape)\n", "X_memmap[:] = X_train\n", "X_memmap.flush()" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "MiniBatchKMeans(batch_size=10, n_clusters=10, random_state=42)" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.cluster import MiniBatchKMeans\n", "\n", "minibatch_kmeans = MiniBatchKMeans(n_clusters=10, batch_size=10,\n", " n_init=3, random_state=42)\n", "minibatch_kmeans.fit(X_memmap)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "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": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100/100" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–6\n", "\n", "from timeit import timeit\n", "\n", "max_k = 100\n", "times = np.empty((max_k, 2))\n", "inertias = np.empty((max_k, 2))\n", "for k in range(1, max_k + 1):\n", " kmeans_ = KMeans(n_clusters=k, algorithm=\"lloyd\", n_init=10, random_state=42)\n", " minibatch_kmeans = MiniBatchKMeans(n_clusters=k, n_init=10, random_state=42)\n", " print(f\"\\r{k}/{max_k}\", end=\"\") # \\r returns to the start of line\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,\n", " globals=globals())\n", " inertias[k - 1, 0] = kmeans_.inertia_\n", " inertias[k - 1, 1] = minibatch_kmeans.inertia_\n", "\n", "plt.figure(figsize=(10, 4))\n", "\n", "plt.subplot(121)\n", "plt.plot(range(1, max_k + 1), inertias[:, 0], \"r--\", label=\"K-Means\")\n", "plt.plot(range(1, max_k + 1), inertias[:, 1], \"b.-\", label=\"Mini-batch K-Means\")\n", "plt.xlabel(\"$k$\")\n", "plt.title(\"Inertia\")\n", "plt.legend()\n", "plt.axis([1, max_k, 0, 100])\n", "plt.grid()\n", "\n", "plt.subplot(122)\n", "plt.plot(range(1, max_k + 1), times[:, 0], \"r--\", label=\"K-Means\")\n", "plt.plot(range(1, max_k + 1), times[:, 1], \"b.-\", label=\"Mini-batch K-Means\")\n", "plt.xlabel(\"$k$\")\n", "plt.title(\"Training time (seconds)\")\n", "plt.axis([1, max_k, 0, 4])\n", "plt.grid()\n", "\n", "save_fig(\"minibatch_kmeans_vs_kmeans_plot\")\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": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–7\n", "\n", "kmeans_k3 = KMeans(n_clusters=3, n_init=10, random_state=42)\n", "kmeans_k8 = KMeans(n_clusters=8, n_init=10, 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": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "653.2167190021554" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kmeans_k3.inertia_" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "119.11983416102882" ] }, "execution_count": 39, "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": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–8\n", "\n", "kmeans_per_k = [KMeans(n_clusters=k, n_init=10, random_state=42).fit(X)\n", " for k in range(1, 10)]\n", "inertias = [model.inertia_ for model in kmeans_per_k]\n", "\n", "plt.figure(figsize=(8, 3.5))\n", "plt.plot(range(1, 10), inertias, \"bo-\")\n", "plt.xlabel(\"$k$\")\n", "plt.ylabel(\"Inertia\")\n", "plt.annotate(\"\", xy=(4, inertias[3]), xytext=(4.45, 650),\n", " arrowprops=dict(facecolor='black', shrink=0.1))\n", "plt.text(4.5, 650, \"Elbow\", horizontalalignment=\"center\")\n", "plt.axis([1, 8.5, 0, 1300])\n", "plt.grid()\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": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code\n", "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": 42, "metadata": {}, "outputs": [], "source": [ "from sklearn.metrics import silhouette_score" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.655517642572828" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "silhouette_score(X, kmeans.labels_)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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NMbN3gDvcfayZ7Qp8CkwC9gcecvcy12A1s+7A0e5+VrTfG2jr7heknHMXYfp4F6AW8A5wnLt/ama7uPuXZrYT8DJwgbu/bmbL3b1+yj3+6+6/GGcTJUP9APLz81uPHTu2zK+7OCtXrqRu3bpbdG1lku3P6e67d+fJJxtz223TadVqeYV+VrY/q3Qp6Tm5w7PPNmLEiN2oWXMDl102h/btlyUQYWbQv6f49KziycTn1KlTp6lFhqVs5O5lboQK3i2i15cAE6PXnYD5Me9xGDAhZX8gMLDIOQOAQSn7DwDdi7nXIOCy6PUcoGH0uiEwp6xYWrdu7Vtq4sSJW3xtZZLNz+nNN93N3M89Nz2fl83PKp3Kek6zZ7u3bu0O7mec4b5iRXriyjT69xSfnlU8mficgA+8hP/j446xqQoUVnDpAoyPXn8OxJ14OQVoHlUHrw70AMYVOec5oL2Z5ZlZbeAQYLaZ1TGzegBmVgf4NTAzumYc0Cd63Se6h8gW+fFH6Ns3TDO+4Yako5HNsdde8PbbYfG+0aPDCsZvvpl0VCKSbnETm5nAOWbWnpDYvBgdbwTEavN193XA+cAEYDbwuLvPMrP+ZtY/Omd2dO8ZwPvASHefSUie3jSzD6Pj/3L3whhuAI4ys8+Ao6J9kS0yaFCYZXP//WGpf8ku1auHOlNvvBFWMu7QIRQrVWFNkcojL+Z5fwGeBS4DRrv7R9HxEwmJRizuPp6NrT2Fx0YU2b8ZuLnIsXnAASXc81tCsiWyVd5/H4YODbNujjoq6Whkaxx+OEyfDpdcElreXnwRHn44lMQQkdwWdx2b14EdgR3cvW/KW/dS/IrEIlnl55/hjDOgYcOQ3Ej2q1cPRo6EZ54JFcRbt4Y77oANG5KOTEQq0uasY7Pe3f9b5Nh8j7fWjEhGu/56+PjjsPjbttsmHY2Up27dYOZMOPJIuPhiOPpoWLw46ahEpKLETmxEctW//w1//zucfjp07Zp0NFIR8vPh+efh3nvDAOP99oPHHks6KhGpCEpspFJbsyZ0Qe24I9x2W9LRSEUyg379wtibFi2gR49QmmH58qQjE5HypMRGKrUbb4QPPwxL8jdokHQ0kg7Nm4dp4NddB2PHwv77w8SJSUclIuVFiY1UWh99BIMHh9/cu3VLOhpJp7w8uOaa0C1VsyZ06QKXXQY//ZR0ZCKytWInNma2n5ndZWYvmFnD6Fg3Mzuw4sITqRjr1oUuqPr14c47k45GktK2bRhj1b8/3HJL2J8xI+moRGRrxC2C+WvCysGNgM6EOk4AuwPXVkxoIhVn6FCYOhXuvht22CHpaCRJdeqEKu7jx8M338DBB8PNN8P69UlHJiJbIm6LzWDgUnc/mY2lFSAUwmxb3kGJVKTZs8MKw6ecAr/9bdLRSKY49tjQPXnccfDnP4fuqQULko5KRDZX3MRmH4qsGBz5DtCQS8ka69eHWlCFv6WbJR2RZJIddoCnnoIHH4Rp08LA4oceChXERSQ7xE1s/kvohirqIGBR+YUjUrHuuAPefReGDQtrm4gUZQZ/+EOYLbf//mF9o9//Hr79NunIRCSOuInNP4GbzWxXwIE8M+sIDAXGVFRwIuXps89C5ecTToDTTks6Gsl0zZrBpElh8cZnnw2L+r30UtJRiUhZ4iY2VwH/ARYAdYGPgdeAN4EhFROaSPnZsAHOPBNq1Ahr1qgLSuKoWhUGDID33gsz6I4+Gi64AFavTjoyESlJ3CKYa929J9Ac+B1wGrCXu/d2d80dkIw3fDi88UZYXbhRcZ2qIqU48MAwi+6ii+Cuu0JBzWnTko5KRIoTd7r3NWZW293nufuT7v64u39mZrXM7JqKDlJka/znP+G37qOPDmMnRLZErVpw++2hO+r77+GQQ+Bvf9O0cJFME7cr6lpCF1RRtdmMdWzM7Bgzm2Nmc81sQAnnHGFm081slplNjo41NrOJZjY7On5RyvmDzGxxdM10M1MZQ/kfdzjrLKhSJVTuVheUbK2jjgrTwn/zmzBmq0MHmDcv6ahEpFDcxMYIg4aLOpAw5bvsG5hVBe4GjgVaAqeaWcsi59QHhgMnuvs+QPforXXAn9x9b+BQ4Lwi197m7q2irbhp6VJJ3X8/vPZaWHCtSZOko5Fc0aABPPooPPIIzJoFBxwAo0ZpWrhIJig1sTGzH8zse0JSM8/Mvk/ZVgETgMdjflZbYG7UnbUGGAucVOSc04Cn3X0hgLsvjf5c4u7Totc/ALMpfvq5yP8sXBjq/3TuHKo6i5QnszC7bsaMsFrxmWeGRR+/+SbpyEQqt7wy3j+f0FozCrgSWJHy3hpgvru/E/OzGgFfpOwvAg4pck4LoJqZTQLqAXe4+ybTyc2sKaGl6L3UOM3sdOADQsvOf2PGJDnKPSQz69fDyJHqgpKK06QJvPJKGH8zcCDsu29ovTnuuKQjE6mczGO0nUZr1rzl7uu2+IPMugNHu/tZ0X5voK27X5Byzl1AG6ALoR7VO8Bx7v5p9H5dYDIwxN2fjo7lA8sIrUqDgYbu3reYz+8H9APIz89vPXbs2C36OlauXEndusUNN5JUST+nF1/cmRtv3IsLLviMU05ZnFgccST9rLJFNjynefPqMGTI3sybV5cTTviSc86ZS61aG9IaQzY8p0yhZxVPJj6nTp06TXX3NsW+6e5lbsB6YKdijm8PrI95j8OACSn7A4GBRc4ZAAxK2X8A6B69rkbo+rq0lM9oCswsK5bWrVv7lpo4ceIWX1uZJPmcFi92r1/fvX179/XrEwsjNv2biidbntNPP7lffrm7mfsee7i/+256Pz9bnlMm0LOKJxOfE/CBl/B//OYMHi5ODTYtilmaKUBzM2tmZtWBHsC4Iuc8B7Q3szwzq03oqpptZhYlObPd/dZNAjNrmLJ7MjAzZjySg9yhf3/46Sd44IEwG0oknWrUgJtugokTYc0aaNcuFF1duzbpyEQqh1LH2JjZpdFLB/qb2cqUt6sC7YFP4nyQu68zs/MJrS5VgVHuPsvM+kfvj3D32Wb2IjAD2ACMdPeZZvYroDfwkZlNj255hYcZUDeZWasoxvnAH+PEI7npn/+E55+HW26B5s2TjkYqs44dw8DiCy6A666D8ePh4YehRYukIxPJbWUNHi4c/2LAWYQuqUJrCIlE/7gfFiUi44scG1Fk/2bg5iLH3qSEViN37x338yW3ff01XHghHHpoWCFWJGnbbgtjxoT6ZP37Q6tWIenu318D2kUqSqkN9e7ezN2bEQbsHlC4H217uvvR7v5eafcQSZfzzoNVq8KMlKpVk45GZKPu3cOifu3bw7nnhhlTX32VdFQiuSlurahOHk2hNrN8M9PIBckoTzwBTz0VxjLsvXfS0Yj80i67wAsvwLBhYfzNvvvCM88kHZVI7olbKyrPzG4ysx+AxYTZR5jZjWZ2bgXGJ1KmZctCa03r1mFBPpFMVaVKGHMzbRoUFIQF/fr2hR9+SDoykdwRt+VlEHAC0Av4OeX4+8Afyjckkc1z4YWwfDk8+CDklTVqTCQD7L03vPNOqDU1enQoyfDmm0lHJZIb4iY2pwL93f05wmylQjMJqwWLJOK550LNnquugv32SzoakfiqV4frr4fXXw8DiTt2hCuuCFPERWTLxU1sdgEWFHM8j7JnVolUiO++C7NLDjggLGUvko3atYPp0+GMM+Dvfw+z+j7+OOmoRLJX3MRmFtChmOO/A6aWXzgi8V16aSg4OGoUVKuWdDQiW65evVDT7Jln4IsvwnixYcNgQ3qrMYjkhLiJzXXAnWZ2JWFxve5m9iChBMLgigpOpCQvvBDGJgwYAAcdlHQ0IuWjWzeYORO6dAlrMR1zDCzO7FJnIhkn7nTv5wmtM78mjLG5FmgOnODur1RceCK/tGIFnH027LMPXH110tGIlK/8/LB69r33wltvhbFjjz2WdFQi2SP2ejTuPsHdO7p7XXev7e6/cveXKjI4keJcdhksWRK6oGrUSDoakfJnBv36hbE3LVpAjx7Qq1eY/ScipdNCe5JVXn45jEX405+gbdukoxGpWM2bh2ng110HY8fC/vuHxf1k6zzyCDRtCp07d6Rp07AvuSPuAn0/mNn3JW0VHaQIhEXMzj47/AZ73XVJRyOSHnl5cM018PbbULNmGH9z2WWhgr1snnXr4L77ws+RBQvA3ViwILSOKbnJHXGnap9fZL8acCDwG2BIuUYkUoIBA2DhQnjjDahVK+loRNKrbVv497/h8stDIc2XXgrVwvffP+nI0mft2jDGbvnyTbfijhW3rVxZ/H1Xrw6LJfbsWeFfgqRBrMTG3UcXd9zMpgFdgDvLMyiRoiZNguHDw0yRdu2SjkYkGXXqhO+DE04IpRgOPhiGDAlLH1TJgoEFa9bET0KKO2/VqtLvX6VKqKhev/7GrXnzTfevvbb4axcu3MovTjLG1i6uNxG4vRziECnRqlVw5pmw227hh7hIZXfssaFaeL9+oQXnX/8KU8Vvuw0WLuxIkybhe6W8WyB+/jl+ElLc9uOPpd+/atVNk5D69WGvvcKfRROW4ra6dcPA69KMGhW6oYpz++1w/vkqzZLttvavrwewLO7JZnYMcAdhLZyR7n5DMeccQUiWqgHL3L1jadeaWQPgMUJhzvnA7workUtuuOoqmDcvDJqsUyfpaEQyww47hIr2//gHnHNOaNUMNo4bgY3JjXsYl7M1LSZljevJy4Pttts0EWnUqPRkJDVhqVOn7MRkaw0ZEp7N6tUbj9WsGcbuXXJJeJ733AOHHVaxcUjFiZXYmNlHgKceAvKBBsA5Me9RFbgbOApYBEwxs3Hu/nHKOfWB4cAx7r7QzHaKce0A4FV3v8HMBkT7f4kTk2S+t96CO+6Ac8+FI45IOhqRzGIWSjFcdRV8+eWm761eHbqr/vrXjYlJWXWoqlXbmJgUbk2alJyIFN1q1ar4xGRrFSZ6V14JCxc6TZoYQ4bAaafB00+H7u7DDw8DjP/+d9h++2Tjlc0Xt8XmySL7G4BvgEnu/knMe7QF5rr7PAAzGwucBKRWRTkNeNrdFwK4+9IY154EHBGdNxqYhBKbnPDjj+EHc5MmcMMv2vZEpNCSJcUfX7MGDjyw7C6cwmSlZs3MT0zKQ8+eYZs0aTJHpPzG9JvfwK9/HWZd3n57KHFx003Qp092jGGSIO7g4fKYXNsI+CJlfxFwSJFzWgDVzGwSUA+4w93HlHFtvrsvieJcUtjKI9lv0CD49NMw+6NevaSjEclcTZoUP26koCCsfyPx1asHQ4fC6aeHLr6+fcO4nOHDwyrQkvk2a4yNmXUGWhK6pWa5+6TNubyYY15kPw9oTZhpVQt4x8zejXlt6R9u1g/oB5Cfn8+kjR3Ssbzyyk6MHLkbS5d2ZKedfuKss+Zx5JFLy76wklq5cuVmP+NUs2fXY+jQgzjuuCVUq/YpW3GrjLe1z6qy0HMqWa9eOzF06J78/HPV/x2rUWM9vXrNYdIk/ZwqSVn/pgYPhhdf3Jl7792dVq3y6N79C/r0WUCtWuvTF2QGyLrvPXcvcyO0mLwPrCe0nHwRvX4P2CXmPQ4DJqTsDwQGFjlnADAoZf8BoHtp1wJzgIbR64bAnLJiad26tW+Ohx92r13bPQy/C1vt2uG4FG/ixIlbfO1PP7m3bOneqJH78uXlF1Om2ppnVZnoOZXu4YfdCwrczTZ4QYF+PsUR99/UsmXuZ50Vfvbvuqv7U0+5b9hQsbFlkkz83gM+8BL+j4/bazgsSmT2cPfG7t6YUARzffReHFOA5mbWzMyqE2ZUjStyznNAezPLM7PahO6m2WVcOw7oE73uE92jXF155aYj6GHjgk5S/q6/Hj7+OKwQuu22SUcjkh169oT58+G11yYzf74WmytP228P998fJjM0aBDG4hx/fJitKZknbmJzFHCeu/+n8ICHgbwXRu+Vyd3XEVYwnkBIVh5391lm1t/M+kfnzAZeBGYQWohGuvvMkq6Nbn0DcJSZfRbFUu7DTEtauEkLOpW/f/87zEQ4/XTo2jXpaERENjr8cJg6FW69FV5/HfbZJ/wi9vPPSUcmqbZ2nPeGzTnZ3ce7ewt3393dh0THRrj7iJRzbnb3lu6+r7vfXtq10fFv3b2LuzeP/vxuK7+mX2jSpKSvB1q2DC03H3wQ9mXLrVkTpq7uuGNYaExEJNPk5YX1bj75JKwAffXVoazFq68mHZkUipvYvAoMM7PGhQfMrAlhwbyc/+scMgRq1970WK1aoVWhYUO48cawtHlBAVx4YVhIbt26ZGLNZjfcAB9+GBbHatAg6WhERErWqBE8/ji88AKsXw9HHhnWwilp6r2kT9zE5kKgNjDPzBaY2Xzg8+jYhRUUW8bo2TOM9ygoADOnoCD0t44eHbL0r7+GBx8M60Xcfz907gw77xymCT7/vKrwxvHRR6FJt0ePsDS8iEg2OOYYmDkz1KB66qlQAuLOO0OyI8mIldi4+xfufhDQFRgK3Aoc6+6t3X1RRQaYKUobmLf99vCHP8Bzz8GyZfDkk+Ef+9NPw4knhqXPu3eHf/4zLFMum1q3LnRB1a8ffiCIiGSTmjXDulszZ8Khh4aW+4MPhvffTzqyymmzxti4+8vufqe7D3P3VyoqqGxWp04YMf/ww7B0KUyYAL17w5tvhmRoxx1D0nPvvfDVV0lHmxmGDg0D8u6+OySBIiLZqHlzePFFeOyx8PP90EPDIn//VfXCtIqd2JjZIWZ2hZndbmbDUreKDDCbVa8elue+5x5YvDhMFbzoIpg7F/r3h112gV/9Cm65pfJOG5w9O/ymc8op8NvfJh2NiMjWMYPf/S4MLr7oojCMYc89YcwYTTBJl1iJjZldBrwD/AFoBeyXsu1bQbHllCpVwlTBm2+Gzz6DGTPCf+irVsFll8Huu8MBB4RjH35YOb4B1q8P45Dq1AnLlVeGGjUiUjlss02Y3Tl1avj53qdPKOQ7a1aZl8pWitticxFwYTTd+gh375Syda7IAHORWag5cs01Yd2WefPCugjbbBMq8bZqBXvsERKet96CDZs1qT573HEHvPsuDBsG+flJRyMiUv5atQo/x++7L0ySaNUKBgwIv9RKxYib2GwDjK/IQCqzZs3CughvvBGmChY2XQ4bFrqqdtkF/vjH0He7Zk3S0ZaPzz4L6/8cf3yYIikikquqVIGzz4Y5c8KYyxtvDGugPVfu6+QLxE9sHgWOqchAJMjPD98A48eHGVaPPgodO4YZVcceGwYfn3YaPPEErFyZdLRbZsMGOPNMqFEDRoxQF5SIVA477hgqhb/xRmih79YtzJydPz/pyHJLidW9zezSlN0vgOvMrB2h3MHa1HPd/daKCa9y22absK5Ljx5hLZxXXoFnnoFx40LCU6NGGJx88slhBcxsmVE0fHj4xh41KixyJSJSmfzqVzBtWuiOHzQotN5cfTX86U9h0olsnRITG+CCIvsrgcOjLZUT1rWRClSzZui2Of74sO7LW2+FJOeZZ8IigFWqQIcOIcnp1q3kMhBJ+89/Qv/y0UeHtX9ERCqjatXCOMrf/x4uvhiuuCLMnBo+HDp1Sjq67FZiV5S7N4u57ZbOgCXUKunYEW6/PTRhTp0avimWLg3TCwsKoE2bUApi9uyko93IHc46KyRh992nLigRkcaNw4rF//pXKKbZuXMYh/P110lHlr22tgimJMwMDjoIBg8O0wjnzAk1l/Ly4KqrQhPnXnvBwIFhFcwkZ1jdfz+89lqY8p6pLUoiIkno2jX8DL/66lCDas89Q+uNSjNsvtLG2MReeM/dc75eVLZo0QL+8pewLV4cRt0/80xY3feGG8KYlm7dQpdVhw6hOTQdFi4Mza6dO0O/fun5TBGRbFKrVljyo2dPOO+8sD34YFjktU2bpKPLHqW12OwXc9MCfRmqUSM491x4+eXQTTVmTKhfMmpUqESbnx8WjXr2WVi9uuLicA/JzPr1MHKkuqBEREqz557h5/ajj8KiRdC2LZx/PixfnnRk2aHEFht31/ClHLLddqHftnfvkMRMmLBxhtWYMVC7dqhhdfLJYYBy/frl99mjR4fPGzYsrNkjIiKlMwszYo89NnRP3X13KLB8yy1hyQ/9gliytI6xMbNjzGyOmc01swHFvH+Ema0ws+nRdk10fM+UY9PN7Hszuzh6b5CZLU55r2s6v6ZsVLt2SGDGjAktOS+/HGYovftuSHx23HFjjaslS7bus778Miw+2L59aFYVEZH4tt02/FI4ZUqYGNKrF3TpEmpRSfHKGmMz0N1XlTXeJs4YGzOrCtwNHAUsAqaY2Th3/7jIqW+4+/FF7j+HUKOq8D6LgWdSTrnN3YeWFYP8UrVqoVvqyCPhzjvDN8/TT4fWnHPPDduhh4ZE6OSTQ/XauNxDsc+ffoIHHgizoUREZPMddBC8/Xbozh8wAPbfHy6/PKzgXrt20tFllrLG2FRLeb21Y2zaAnPdfZ67rwHGAidtQcxdgM/dfcEWXCulqFIFDjkkLPc9Zw7MnBlmW61ZEwYjt2ixaY2rsgp1/vOfYY2d66/fvIRIRER+qWrVUF5nzpzQHfW3v8E++8D//V/SkWWW0tax6eTuy1Nel7TFLYLZiLCCcaFF0bGiDjOzD83sBTPbp5j3exBKPKQ638xmmNkoM9suZjxSCrPwDXPVVWGdnPnzw7o5DRqE9XEOOgh2221jjavCKYmPPAJNm0Lnzh05/fRQ1fbii5P7OkREcs1OO8E//gGTJ4fWmhNOCC3qCxcmHVlmMC/r1+7iLjLLA2q6e+xqRWbWHTja3c+K9nsDbd39gpRztgE2uPvKaKzMHe7ePOX96sCXwD7u/nV0LB9YRlgBeTDQ0N37FvP5/YB+APn5+a3Hjh27uV82ACtXrqRu3bpbdG2uWL68Gm+9tT1vvrkjU6dux9q1Vahffw1Nm65i1qxtWbt2Y75cvfp6Lr98DkceuTTBiDOb/k3Fo+cUj55TfLnwrNauNZ58clfGjGkKwOmnz6d790Xk5W3+/+0lycTn1KlTp6nuXvwkeHcvcSN0+/yuyLEBwE/AOuBFoH5p90i57jBgQsr+QMIYntKumQ/skLJ/EvBSKec3BWaWFUvr1q19S02cOHGLr81F33/v/thj7j16uJu5hw6qTbeCgqSjzGz6NxWPnlM8ek7x5dKzmj/f/aSTws/cli3dJ08uv3tn4nMCPvAS/o8vazjnAGDXwh0zawv8DXgI+DNwAHBlzARrCtDczJpFLS89gHGpJ5jZzmZhElv0WVWAb1NOOZUi3VBm1jBl92RgZsx4pBzUqwe/+11Yb6Ekah4VEalYBQVhTbJx48KSHh07htmuSythY3lZic1+wOSU/e7A2+5+toeK3hcCJ8b5IHdfB5wPTABmA4+7+ywz629m/aPTfgvMNLMPgWFAjygzw8xqE2ZUPV3k1jeZ2UdmNgPoBFwSJx4pfyWVSVD5BBGR9DjhhFCa4YorwgSOvfaCe+9NtpxOupWV2NQHUvO9doTup0JTKH4AcLHcfby7t3D33d19SHRshLuPiF7f5e77uPsB7n6ou7+dcu1qd9/e3VcUuWdvd9/P3fd39xPdfStXXpEtNWTIL6cd1q4djouISHoU/tz98ENo1Sosu3HYYWE2a2VQVmKzBNgdwMxqAAcC76S8Xw/4uWJCk2zTs2eo2l1QAGZOQUHY79kz6chERCqfvfeGV1+Fhx8OM1vbtIGLLoIVK8q8NKuVldi8QOjq6QzcCKwC3kh5f39gbgXFJlmoZ8/wDfTaa5OZP19JjYhIkszCz+E5c+Ccc8JCrHvvDWPHlr0WWbYqK7G5hjAD6hWgL3C2h8X1CvUFXq6g2ERERKQc1K8Pd90F778Pu+wCp54aSud8+mnSkZW/UhMbd1/m7h2A7YDt3P2ZIqd0B/5aUcGJiIhI+WnTBt57LxTVnDJl42ryP/6YdGTlJ1b1Hndf4e7rizn+XZEWHBEREclgVauGOoCffBKW6xg8GPbdF154IenI4imrC63EIpgiIiKSu3beGR56CPr2DYlO167wm9/AbbdB48bpjcUd/vvfsO7O11+XvpW1No8SGxERkUqsU6cwNfyWW0LrzYsvwnXXwY47hm6qhQs70qRJmEK+ORNC1q+Hb7/dmIyUlaysXfvLe1SpEuLIzw9bixbhz1tuKflzldiIiIhUctWrw8CB0KMHXHghXHZZmFEVLZHLggXQr19IVo48ctOEpKRk5Ztvil8YsFq1UMizMFnZf/+Nrwu3wve33z50nRWlxEZERETK1KwZPP98SCy++WbT91avhj59ir+uVq2NSUlBAbRt+8tkpXCrXz8kTRVFiY2IiIhsYtmykt8bPvyXyUrduhWbrGwOJTYiIiKyiSZNYMGCXx4vKAgL/WWyWNO9RUREpPLI5tp/SmxERERkE9lc+0+JjYiIiPxCttb+U2IjIiIiOSOtiY2ZHWNmc8xsrpkNKOb9I8xshZlNj7ZrUt6bb2YfRcc/SDnewMxeNrPPoj+3S9fXIyIiIpklbYmNmVUF7gaOBVoCp5pZy2JOfcPdW0Vb0QKbnaLjbVKODQBedffmwKvRvoiIiFRC6WyxaQvMdfd5UeHMscBJ5XDfk4DR0evRQLdyuKeIiIhkoXQmNo2AL1L2F0XHijrMzD40sxfMbJ+U4w68ZGZTzaxfyvF8d18CEP25U3kHLiIiItkhnQv0FbcmYdHi49OAAndfaWZdgWeB5tF77dz9SzPbCXjZzD5x99djf3hIhgoTopVmNmfzwv+fHYBS1mSUiJ5TfHpW8eg5xaPnFJ+eVTyZ+JwKSnojnYnNIiC1EPquwJepJ7j79ymvx5vZcDPbwd2XufuX0fGlZvYMoWvrdeBrM2vo7kvMrCFQbEFzd78PuG9rvwgz+6DIGB8php5TfHpW8eg5xaPnFJ+eVTzZ9pzS2RU1BWhuZs3MrDrQAxiXeoKZ7WwWqk2YWdsovm/NrI6Z1YuO1wF+DcyMLhsHFJbl6gM8V+FfiYiIiGSktLXYuPs6MzsfmABUBUa5+ywz6x+9PwL4LXCOma0DfgR6uLubWT7wTJTz5AH/dPcXo1vfADxuZmcCC4Hu6fqaREREJLOktQimu48Hxhc5NiLl9V3AXcVcNw84oIR7fgt0Kd9IS7XV3VmVhJ5TfHpW8eg5xaPnFJ+eVTxZ9ZzMvej4XREREZHspJIKIiIikjOU2MRgZo3NbKKZzTazWWZ2UdIxZSozq2lm70drEc0ys+uSjimTmVlVM/u3mf1f0rFkspJKqsimzKy+mT1pZp9EP68OSzqmTGNme6aU7ZluZt+b2cVJx5WpzOyS6Gf5TDN71MxqJh1TWdQVFUM0jbyhu0+LZmdNBbq5+8cJh5ZxolltdaK1iKoBbwIXufu7CYeWkczsUqANsI27H590PJnKzOYDbdw909bSyChmNppQlmZkNPu0trsvTzisjBWV+lkMHOLuC5KOJ9OYWSPCz/CW7v6jmT0OjHf3fyQbWenUYhODuy9x92nR6x+A2RS/anKl58HKaLdatCl7LoaZ7QocB4xMOhbJfma2DdABeADA3dcoqSlTF+BzJTWlygNqmVkeUJsi689lIiU2m8nMmgIHAu8lHErGirpXphMWS3zZ3fWsinc78GdgQ8JxZIOSSqrIRrsB3wAPRt2bI6N1v6RkPYBHkw4iU7n7YmAoYSmVJcAKd38p2ajKpsRmM5hZXeAp4OLUVZJlU+6+3t1bEVaXbmtm+yYcUsYxs+OBpe4+NelYskQ7dz8IOBY4z8w6JB1QBsoDDgLucfcDgVXAgGRDylxRV92JwBNJx5KpzGw7QqHpZsAuQB0z65VsVGVTYhNTNF7kKeARd3866XiyQdQMPgk4JtlIMlI74MRo7MhYoLOZPZxsSJkrtaQKUFhSRTa1CFiU0kL6JCHRkeIdC0xz96+TDiSDHQn8x92/cfe1wNPA4QnHVCYlNjFEA2IfAGa7+61Jx5PJzGxHM6sfva5F+Mb4JNGgMpC7D3T3Xd29KaE5/DV3z/jfhJJQRkkVibj7V8AXZrZndKgLoAkOJTsVdUOVZSFwqJnVjv4f7EIYY5rR0rrycBZrB/QGPorGjgBcEa2kLJtqCIyOZhtUAR53d01llq1RWkkV2dQFwCNRN8s84IyE48lIZlYbOAr4Y9KxZDJ3f8/MngSmAeuAf5MFqxBrureIiIjkDHVFiYiISM5QYiMiIiI5Q4mNiIiI5AwlNiIiIpIzlNiIiIhIzlBiIyIiIjlDiY2I5Awzu9HMXk46DhFJjhIbEcklrYDpCccgIglSYiMiueQAwuqoIlJJKbERkZxgZjsTyi9Mj/brmNlYM5tmZk2TjE1E0keJjYjkigOBH4E5USHI9wn1bdq5+/wkAxOR9FFiIyK5ohXwEdANeBu43917ufuPSQYlIumlIpgikhPM7DFCxeaqwInuPjnhkEQkAWqxEZFc0Qp4GqgGbJ9sKCKSFLXYiEjWM7PawA/AoUBz4D6gg7tPSzQwEUm7vKQDEBEpBwcADsx09ylmtjfwvJm1dffFCccmImmkrigRyQUHAJ+lDBS+BngLGBe15ohIJaGuKBEREckZarERERGRnKHERkRERHKGEhsRERHJGUpsREREJGcosREREZGcocRGREREcoYSGxEREckZSmxEREQkZyixERERkZzx/9PT5jG4HZeNAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–9\n", "\n", "silhouette_scores = [silhouette_score(X, model.labels_)\n", " for model in kmeans_per_k[1:]]\n", "\n", "plt.figure(figsize=(8, 3))\n", "plt.plot(range(2, 10), silhouette_scores, \"bo-\")\n", "plt.xlabel(\"$k$\")\n", "plt.ylabel(\"Silhouette score\")\n", "plt.axis([1.8, 8.5, 0.55, 0.7])\n", "plt.grid()\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": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–10\n", "\n", "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 = plt.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(f\"$k={k}$\")\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": "markdown", "metadata": {}, "source": [ "Let's generate a more difficult dataset, with elongated blobs and varying densities, and show that K-Means struggles to cluster it correctly:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–11\n", "\n", "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]\n", "\n", "kmeans_good = KMeans(n_clusters=3,\n", " init=np.array([[-1.5, 2.5], [0.5, 0], [4, 0]]),\n", " n_init=1, random_state=42)\n", "kmeans_bad = KMeans(n_clusters=3, n_init=10, random_state=42)\n", "kmeans_good.fit(X)\n", "kmeans_bad.fit(X)\n", "\n", "plt.figure(figsize=(10, 3.2))\n", "\n", "plt.subplot(121)\n", "plot_decision_boundaries(kmeans_good, X)\n", "plt.title(f\"Inertia = {kmeans_good.inertia_:.1f}\")\n", "\n", "plt.subplot(122)\n", "plot_decision_boundaries(kmeans_bad, X, show_ylabels=False)\n", "plt.title(f\"Inertia = {kmeans_bad.inertia_:.1f}\")\n", "\n", "save_fig(\"bad_kmeans_plot\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using Clustering for Image Segmentation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Download the ladybug image:" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "# extra code – downloads the ladybug image\n", "\n", "import urllib.request\n", "\n", "homl3_root = \"https://github.com/ageron/handson-ml3/raw/main/\"\n", "filename = \"ladybug.png\"\n", "filepath = IMAGES_PATH / filename\n", "if not filepath.is_file():\n", " print(\"Downloading\", filename)\n", " url = f\"{homl3_root}/images/unsupervised_learning/{filename}\"\n", " urllib.request.urlretrieve(url, filepath)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(533, 800, 3)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import PIL\n", "\n", "image = np.asarray(PIL.Image.open(filepath))\n", "image.shape" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "X = image.reshape(-1, 3)\n", "kmeans = KMeans(n_clusters=8, n_init=10, 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": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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wFpx1xKlktKMAcA4WJ5qmdL49Hig+85ue47c8/d3EKmLWLPjbv/BjfOFnThAS9q+HGOOwxnFwmNEfpixmJfOzGuccQSSQUuAsdJ2lLi1t7RDCay1YA2lPMhgppBIYc0/ZXneOxYmhXjra1fa2COgdCPafDJEKio2lWHnNNttBceTeo1gVDQSf/vSI3/7RZzl44hOYtuTmzV+mMoaro32S3phON/zM7HUqLN/9xLewk+0hZICzlrrNOduccrRecrxYsG43aFraRhNFirY1LJcNWhuc8/dQt46qtPT6irZxzG5qmqVDKBAB2Mafm4oh3RekPckTz/S48aErVOsSKQVl0fDKF2ccv6Kx7fbyA3w/2f6Os+D0e9uRDEClEKQCFeOfAY52Bc3qvffokRCQTAXhQ/ShhRCM9wKuXM0YjDMG0wHOOYw2lKuCv/dn73xgm49u3Gvz8UDQ35fkx5Ymv3eSKoD950OuXE8QAvZ3R4xH/oSkEHxk+mF2kskDx100S37xzhf4wpfusJi1D563hIMrCVEsyTea2UnL5o5ve9MnAr7ns8/yXU9/O4FQVLrmb/3Sj/NzP35EEAme+lhK1zqKXLN3GDMeZszmJfNZgzWOIJQoJXDW0TSWrrW8m7mhAsFoEtLrBQjpn2VVGmanDbpxLN+x3F/kIZ0Irj4XMxiFHN2uKBaW/MgiQzAd70GUCj7y6RG/9dPfwtOTJzDW8PLZa1S65mCwyzAaoK3mC0cvUjUNn3362xjFowu55VrXzKsVd+enHC+X5E1BbSo6bbifhrJadJSFQSmBMQ6tLUmiMNpx/Gr30HMDCBPB9EnFtScynnlyj7xskEKQlzUvf3nB6Wsa+zgFle5/pmL7UhD3BfFQYDooTizmIX3kg5COBb3dh/tk4kRy7UaPa1cmJHEIDoy1LNcl/78/c+t92/wjDR5hLVKAQyAdWAuNdtQarBNgHbaDrrZY7RAa1qsC3W3o9Yb04wis8IW7hMFiQYBUklAFCAu6tHQOnBSoSJJlIWFsMNZQFQ6rIelBHCuCTNN0C9q2wto+CIcILKpnSRNB5wzrhaSuSga9kvHuhMlgQr9XUIg1Iu2IAlBGYpbQzKBrLKoXYiIo1oZ61uFONXFfIPoSkUqUtEhlCQKHixwihECARdA20OSOfgqJVChnsE5g9L0J0gmQCsax5DueVHzfN035yPVDlFJ88dacf/DLb1J2ioPBjGHSAylZSUs9CHh5fov6rGNHhQySHUbJkJ3DCd/81PN0QY9Fs+at+Tu8efoSq/URTTPHdBbTOerKD/ymdkgjSQ/6THf3yKuWstygrcNZMAKcuteJrHZ0rcYaQ3+QEQSKelaha+dVJoRARiAyb/g4e++FBJQ3TkQEauJIdiHMvHGlIohiAbWgdI6yBJqtrrp1ILzhA/fNCdJ3IqdAxpCM/DGMdZjOYjuBEpAksD+O2B2G9PoxMpV+8rOCLn9wwP1AbDsvgC7dA9XUrPb31VpfkC5f5Fhj6U36SCW35+6NzXP0ggwhfF/oGv9d8BNW2pdIKbDW0VQW3TlUBOlAEsaCqq6pTU2sfPUPKUGFECX+eMXa0NaOwVBz9dkR2TAjTRe0rUEpSaCEH0QrzSZvMcYRhQoEFLlhPdd0jaU3VETJvXOWSiAVBCmYxhs0zkJbbI2JgSROBOXan4d5yC0OEsEnPz7ke545YOfgOWQQcuv22/yD125Rdpqr0zN2sgQRSE7qGhVIXpm9wtXjN8miPlk6JEpHXJvc4MbeszjnaHTNUXnGKyevM1vOWK0aus4bXfna0pQWYxwg2D8MObgSUa7WNCuDM+Du09Q9n9Ts1iA0rWawO0QIQdsuaBt3sb8MIN0TyHDbNg20OXQbd29yFBBmkO5K4lTgHASR8O1Vw9ppusLfy8eFivwxZSCw+sGZO0oFk2nEYJQy2hshA284B9ZRLPLH/5Hz+6H9PdH1g79jDbSVxVqHVILZYoNzjtEwQyqFFO+dY2IVo6Tk/o+c8/0qzRRRJLEWNssOIaB/KH17iwRV19CZliBIEUIgBGRTSZRINmtNXRm0dtSVZXKjx7CfEkULb7Df/3sWykKzXmkGo8BP6rn//vysJV9r4kQyGIakqUIpgVUQ9wRN7i4MpTZ3lLlhMAy8cdE6HA83doJQ8PwnhnzXp17gqfENBII3Fzf58c99kbY17B/06GW+L5d1i7WWF2evMIqHDKI+/bBHFmZcGexzbXCAe9LRGc1JccqrZ29zNJ9RlA3OOarS0LXWVzzdtsH+MGQ8SigWS1Z33y0gfd8ztd5A6rRhMsoAQVW16MY9YOwJAUHsr/n9jKAgFvR2BEEsENK31SiW3ti0kB/Zr8rGlwqS0cPtFilhshOztzMgibcVkQQoJambR3esRxo8gxgaB62EOJSkgaLtDE5YhNs2htaiS4PpLEILyk1Dka8o+5ZAOpIgRDuLUCHIACl8Aw6EInSKSEtK7TAK4l5Arx8ig5q6suga4giysaI3zEhGISot0TbH2hFdW9F0BfFA0BtI2s5QFg5jLdZuiIMSqTqCyBIIRzwMiRJHiETHDmc6glIy2kuJBiFNaTmROdWJoVk4bGOQA0OcCaJUwA7oEGwCrvIDvHWCTW6RkcNpi7TgtMM2DuEEBIIghIOR4rteSPjNnxjx4ad2SZOUl2+/wU988XVeOm4RSlI0SwZBC85ShRCoEXc3itOzU8zJnMREZHHC3s6U608+w9UnPsT18SEHkwOuj6/yhbd/nrr+PIVtQAishq4Cn1tlMdKR7kVMihH1qsRWFuv85IwT4BxSCKIoRIkAByRJigoU1jhsd29lKqRf9YnID4bGeAMYJ7zxFILMoLcnGB4KkkxCIJCBI5AKvbaYtabaGvAXncEB1g+MOMA5xPYvAuIexKlASYmzDqcFzjhkKBj3BYdTxWioCPshrfBtoWscLni8hMSwj5+4nV/9q9Abd/cvya2GtnK0naXTlrLUpJuGYVEzvTrlzfwdNl1OomKe6l0nUQmhCBD41fD9A3KUCJJUEoaSpjHUpUOFgv5QMRgF9PsRKpBsdMEoGtKYlrbpiBJBb6gwBprKG1C6c75vRQFKSeLYDwLgDasgkBjrqGvN7l5KlIR0neV2uGY506xmhigRZANJGAmkhPFuQJkbgth5Q7jwxmeVW5LUT1gOh2mgWd7nuRDQG0k+/S1jvvfZHW5c3cH1d5jffYmfeOVl3ni7AAdVbbidlhcek739jJO64I1FQTGvyKKQfhBwMBryzP4NdnaeIIl7PDW6wdX+Pj97++cpi4ai6LwxWVu/2Ng2JqMdo2nG3rWaYlbT5Q8fdqNEbFfJBrGdodtWP+AZkBHI8OLyQEE88gZ6s/A7yhB6B5LxXoBS9+57HCvKsqMuJaUyD1a7exQEhH1vFKd9yeLU+IXB9pmOJiHDUUx/Z3hh7AB0bYc1j7dEV4HvwwDJ+NzIFZjNvYt3DprCobUjUgJtLKezDZui5sr+mNeXb3Ktf4VBNKAX9hCAEoowCAi251XOLUJAb1cxnkQgoK0M3fZ5JZlkNA5JswAhHY1pSYOUsiupmhYVCfqjgOW8vThfa0BKiZQSpSTGWr+ISCKG/YTZIkfIcwMroJfFtJ3h7p2c9aqjbSxtYykLw2gcMplGrJYd4gCSkaNroFn7tl8XhpOjxk/i72NHpAPJxz414vd+S49PPFnxViE4LWf8zEtf4fhuBQLKUjMYhQigbS2jSciy2HDr5JTZrCJQikEv4WAy5dn96+z3dolUxPXhVfb7e3y59yJfeOMN2lY/YEzmxxahwB44DvYGnF2vKGYl+mFrve3C8l4hC38g6xy6fdABGQ8EvT1Js3EUp+/1lkkJ/X3BYBownvgOIqQgCARFbuiaxi9Y39/2eg+inkCFDzd4eoOA3Z2MYT99YLvWH9zeHzkLHPahNlAK2B3FDJOQUNXMq5auxd+jzntpdOsInKRtG9qmpK4dzhk60zAa9ellAwZpShyez2SWXhSSOInSGhkrBpOYOAODQdfeqMr6ivFOwmCakfYjskygnMBpSV3lNO2a/lDihKHRYKUjSQRp32JYM1/nnCw3uMQgMkWSKYJYYXWHjRxdKQjjkOlkQrAT0mPBmc7JFw1F2aENdMYR9iBNBS4WmIFf2TVrR9tCLSHVjiBQqMSCdt7KjQRh4nh6J+G3fuKA7322z+HQ0RsPWbYtn3/jDl96e8MyhyA2OBoqZXDaYgIY1hmbrkMFCUczjVm2SF0QRgsmr9/l6o1XePLJp9k7uE6tNXVVUWuDBnCCGEeG8I1YgDAdMqyYHqQsj2KKsxrXOiwghQ8ryUCQ9WPSLEUGCqW8y1e3Gqe3z0770JXUfvITAMJdOEGMABGDTAVRTxIlgiBRqFAilUBYiabFCYG3ZrjwoAix/f/8tQ0boIEQwkiipPLeEqvZOg0JQ8HeWDLKQpIsxkUSay0WiZEBKn08g2d0TdE1DtM5dg5Dsr5iHnWcrPS9Drv1cjS1Ic0Cus7QdYa61jjnmByMOd7uHMmIZ/q+EL2QgiQLUIHAGh/m7I8U43FCVXU4B9Y4RlPFaBwxHidkox7pICXczrSbNqepO/pDhZDQbr1FUSTJegFtWbNZFJydeTX6nWlKGAeMDiasT5dI2eIchHHE9NoOOIcKFVG0YrXsKNaWrjGMdhVhJFABDMaKbOCNnCqwOOd/s20cYehDZvbcQyi8oXh4PeK3fssVvv1GwAtXFnT967y1zHnp7pu8+NaaZu0IUljNNHUq0dsVc3/QkeY1Frh5u6KuCrAQBnP29u/w/JWXeeH6DQ53n0A7Tds0NI3xRjsQJRKH95IBWy8c7O4nzA9blu8YzDachQCV+HBTbxDQ64WE8daicdA1GtPdZ+h2/nVu9JxDRlyUfgwzsTWetgbJKCaOlffEFd17JovHgYoh6Xkv4P0VJlUI43FE1k/vnfcWYRwyOpy851gPw/gJhW4duobRfkB/ECBdy2n+oMHXVW7rOQOjHctFy2BocG6B2bWUuiJSId+88zF64b3yhmmmEAK60oeGBsOAYDuZ5bkGB1Es2TuISdOQ/d0hWXavqP26ySnylsEwoKkMzm5DJxKSVKGN4XS2YbloiBNJEEAvjRkNM8qqpdtUaO3YnSbs7Y5wzpEmIe/cWrFatOjOG8aLWUt/GLCzF1HXlnytCTpL1IN2sw25O0cUS5IxtKW58PCoEHavxXz2M0/zL320x2f3X+Tt8grGOb5051Ve/cqCxR1DOpaApWl8I5QCsn5AXtQ4Jzi6W9LVjq5cEcYnfP7qW9y4NuEj159if7CDdZaiqS7atTHuou0lI4E1oDtv9B1cyTg7aljeMu9pd0EE/UFAGCrCC0PZ0bbmgTYPfoFntSPKBF1f0Gwe/FyGgiAS/njRu0NQv7Is8DB9hHdnErM7HcC7vIpBILm6P37kcR85Cxz0odZQC8mNacYojYgl3F52FJ3zIQqlkE5s4yISYR2mMhR1gzGaVjfkVcVkZBCTEUHPIBw0tkPrzt9wYUgmEaNxQBDW6NobDaGCtKfIRopsrIiSkCjtgQioypz16g5SFIQRtJ13wSc9QRw5EB1nizmLWU2VS5JJRBnWhJG/MRZF2QpWc0s21Bw8ETHJJvRFj6Sekwc5q0XBRjcUlUFbh8hAJZZgKFARuABEDcMs5InJBG0lTm7oTIlzEMfwwrUh3/8bPsJ3PjlixJymLSnrlteO5/zyW3NON9B2AiMcKE0nLGEoCCMFrqPqHIN+H9NLKRcVQvsGODvKeW2R03vrDpNpjzByVKaipkZLENIy7Qv6AegIhIwZjRKE0iTTiOmTI7Q01GuNaC0SgVQWIXwMPIojpFIgBdp2tE27La8nYTtAOCNQGYh4ayydh/DCbTwosBjr0EYgOkfnjF9ZGElZO5rGc0+EA8w2LOaPsPXubBvi9q9KQCnAghVuyzdxKCnopYJRP6KXxQRxQCW8R8sS4MKYpmp4HIx2FEb7Af3pG32e6vf45WDJ4nZOu96urM+9Uo4H4ultazi+u6FtNKNpj/5kwN3qhOvZoTfxrdtyDKBroDeU7OwmJIlis2kRQG+oSFLFYBDRG/fpTwcIBKEI6Kzmbn5C22qk8oNvEAriRBJnEnCc3V2yWjaUpSZJJetNw0hCW9ZIKWkbw2alWQ9rptccSin2ruwQSMlgWDA7q6krQ5Vb1Eght2NhEAj6Ix+eqArLaBpw7XqGsQ7nKhZnmnji7dfnnu/zu7794zx19QafvfJjCFPx8kpzdvcVvnBrxurY84LSXQGJDxUEgSDOpOchdJreIPNekY2f4LrKcKutuHtU8wuvnrG7+yJBJGhaTdPoizYynPghrW0sUgrGkwhnLaPdAfvXGpxrKOYW0/hFSdT3q9wolASBIgiD7bO1tI1+YLi2HZQnfvETjcTFeCuEN4Kk8sbJuffBOcd63VyEZNrG0tXuoZyf94NQvr11jUPLe6FQgN5AkfZCepOBpxzcN/4LIajzh1bqeA/2r8SsV37mvna9x+50QKAWLO7kdNW2zeP757nB03WWItdUpfFeks4wHmZMx31u5bf50MSXaNPaorVFKsHgiiTrK4Yjb5w56+8J4nzylRzsjcjSmEAoIhWhneE0nxHEEKMocn0xwfsQseXm7RnLeUu+0ezsxahAsFwX9LKYMFRUlWF22pLEEbs7jiSIubGXIIXgNMtZzhuK3HNWNitN1zp2DyJ6/YDNqmOz6lATQZopdvYihBScyQZnHZu7liAWPPWRAb/zs5/mQ/u7fMfejxBIS21SjvJjXn7zDqtjbxwVM4uKpJ/QhW88zjrysmFvOiSOFcWso1r6+1KtS45v17z0ygmDYUQUK+q6o+v8wkMIwWTq+XR1ZVFKcHjYJwoDdncGHNwocbahXFh07S7aswx8n06T8MIDZ62jrrv3mCht6eje8f3FPcSJcs4HrErfj7dbEQKKjca8K0T2QfAhtId/FsWK0SglDB9mugiWm/ctOwZ8gMETKoG1EAaSYRgwjAKGiSIKPcE1HcQ8/eR1hnsx7SCnEjMwwodKrKbpDOtao9cN3chCk8FuRugirIFl07AxLbKvGO6lxBloDFhHFkqMFCSxjwVGqSKOQtJogBI1q/wtluuXCANDUxuUgjSzhFJgOsfsrCK0hr4Ycm24y8asOVneQsWWQErqtaVYCJbHgsDW3HhKcH1nj96gz44smYdvcyaPqdqGWjiWtqHVHbFR9LMEGzQsXMU6MPQHgijWKBeQZhCXAqUkHzuc8Pu++1P8xqevkpg5s6M160ZzPDP81EsnvHSnoe4cTvhBV0WCeAjDfkAaR4SJd23YIKF/OKItS2TljZnGCOrO0a4alpuGMISg51AJBD1IBzBJBUPncDogEIqgp1m5NVakjK73iMYR5aqj2FToqsW2LU74kCVCeJcnoNuOuqp9/F4IrPCxfts5AgRB5MmcnsTpUBqQDhlCZyz5xiELi2W7GtGCekveNM27wln3Gzr32rEf4BRI5b2DPnrmCQFh4BiNFL0kQ0YhnXC0ztK5gIaQSreU7fKRHeF+qADiRHGYpjyX9jgZNrwcFbTCEfUFT35kwHgnQUUdRvvZram8uz/NYHZWUuQt47zBXXd8efUKEoluO9arlqqwhLFkdy8mywJ0Zy+4B3EqiCJFECiSrcs2lCGBDPjK6hVOzo4JA0nX+lWblFwQnmenNSoQpFnA9SdHlHlDnjeEoUSInKbWbNaa1ZFBmJKrT7d89OBDHCR7bPozbt9+iZfDOVWt6YyjbjVdZ0iSgEE/ou0sQdCS9i1p6leHAY7eQJGvDULA808M+f7Pfob9/SfYi9/h5pHkK+9co9YzfulszpvvFLS5N2iF9JNWfyzpDwPiWJFlAdb40MfuQUpdabQGUi5W4puln4Sk9KHSbCCR0i9kppMEFfhwp5De+9TWLV3bsbub0B+EbNYdRa69AdK6C+5YEAUXHCxjLFWpsebBxujsRXT1IjSpIsgOtgaQgKZ2rBf3D/6eI1TllnphsV+FwSNDf5+M8Z7Vi+1KMByFZIMUFSrePZ90dUu5fvTgf460p2gaP4FmacSgnzAYxEjlOUBhLHj6hSGT/QSjGux9sQlrvGekaSxNralqHz/JgpRRPMI56yc97Q390SS8WDAICdMd703pDwKiKCBNPCcjC1MCGfDm6i3ePruLlN5zsXeQ0LWW1dJP+rPTBvBt/vkPTSjKhtWiZTSB49MVbae9gX9kuO0Kblyb8Im9b6If9rgxPOOV4Rvc6c+pKo3WjqJoUIFA4PthuCMJI8nstKE/DJDKP9M0U1SlYXRdceP6iN/xHd/GE5OrHCZvEcuKs+aAz50pfua1L/L2q/kFJyqIBME2fDqchGSZQgU+WUAI2N1LqUpNPFQXYd42d5SFoSyqbZ/h4hwOryZ+7lCS4QgCJdnfG3DraA748M+TH5bUlSVfam+Adp68j4AoDC5CuMZaqkrzMDeklJDtSG/Qd/e8PggffhIC8rWm2Gwb6XbMbitH/pAw2KMglY80vAdbw7iXPdwa6jrNYvlo3tojDZ6NhroEERrqtqGfhnRb0tp42ufj3/QRvu97vofhzoB/8s5P8OLx59i4AlFZXIv3BHRQVQ1mbXBtDK7PMB3QdB01jjqC3k5KNg4RQUVbdn5FG3r+qxQgnCRWAZlKSVGs1l9itnyLqp3RtNpPxECSSFwg2MwNuhTsDXd4cu8AjOb4zhpCR9DzPKTlXLM+hmYOS6OpVpBEI3ZGN7CuRhUNsW5BSxoDR+WKk3KJ1CGH4T7DUcwddYc3umPqruNUFSgktWvpDRRPjMb83k9/is88fYOeKDi+e5PZbMWii/iF2wv+yesrFoXA4hDCZy8lGYzGAZNRTBrHGCephUXblsnhCNMskV2DMIZqA2otaAroNNSJI8AnMqm+b4TRUJEmEQqJ7hxFWyGkBlshRULai0izjOHhgKbWtHWNbmuCNMSIFmtDrNVUdX5h+avQQSywsSMaQjqCZCwJYoVzEmsdAp8dpAKFcY6m7mhLR9uA1g5TgynBFcJzGZy756rfGjxy2/Ct8mRnIm/QidAhpedHaenJ0UkimfZjwiTEBYrOWRoCakKazlJWS9ab5SM7wjmshTK3KOWY77V0PUfVaUTgyKaSb/+eJ/i+T38nvTDjc0df4JU3XkcIQZkbusaHdgdjRWE6mmbj78dTEqn8vWlqi0AwmgSMRr7jrjftAyt3ez5ZB35msM7whcWLnM5OqfOatjUX+weB9Kv5ylBsLFefyLj+zC5GG86Oc+x2VW60Zb5oWM801dyB0bSl4Uq6Tz/oMRxlZKs5u06gECx0xxfyFWezCqUk02HGTpbyznzDO3dXtK1hsawJA4nWluFEcTjI+F3f8Rn2954ikUu62Yu8eHuMsYJXNmt++uUZ+cz6sJDyk3mcCQajgN3d9IJvBNDWHXvXhn7sMG5L0LTkS4PuHDqHIHOUG4PZhgF7vZAwUkRJRJTGVHmJ2ZKZzw2gJFGkicLuee9DVWmqShOGEt1qdGcIooCu7qgK702QARiDN0jHgmgo6A89oRzYhs8EUSSQypPP29qSr+0F3+ac4/QwYvf7QnjSt5B+0WeN2y6nHVEiGAxC4vS9g7+zjvVszWL+eB6e2UlLWWiCUNI0PozlycmQDSXf9p1X+R2f/g7SMOYrp6/wy2+8Rt7d86o551fyVeE9PufelygIqLuWtvXPoDcIiJMHQx5JqghC6cOLUl7Q25xzfOnsKxwtZ6w2JU1tt5lUmuE4JIwlx3dqutaxf5jw7NO7GGu5fXtDXfl9qqZls9ZsZppm7ViiqStNEiQEMuBK75DGtHBfwsbRyZJ1XiGE4Mr+hCxKuDubUxaaujT+XJ03QIJAcP3JMb/r2z/Dfm+HQbjk2fDzHP9DxY9emfCzd17jS186YX1sLtZw8cBz4ya7EVnvHufKOUdZNRweDKibDmM8Fy3faKSCcmap1454KMim3tMaxdJ7J6OA64dThBBobTg+W9G2Gru1MpQS9PqKXl/5JA7t6BpLkinqpsNai5R+EVXX24Z+36oziAX9fW+oBcE269M5pBSoQBBFEq09gfqcP9cWjmruPAH6q4xq+Tb/kO2BYDAMH27wOMd8mdN2jyYKPdLgWZRQFg4bOkZVS7+vEUqxf/WATz37Cb71mz/GNz3zNFk/4k69zxvziFBBgqCsDK4D0wqscHRBjVQbBuOSKEhpjKbD4RLP8xBK07QtZWWJQ0AKus4hW+9NkDYgMxGbxV2W+oRSF5SNo6nBaUkQCiajBDTIUtPvTzicDrBsuDU7YbFZMUolO+uEwlqqI0d5rHGdJ9vWRQlWEgQROjXIvkKmYMsGnMOKhsa1BE5wON7nsLdDJiJmsyV3NzWbdYcILb2e4luv7fGbn/0w33J1SqZXHJ++yfHpjLN1x8t5zS8e5dwpDY0TCOcz4KRzBAHEkURJh3MNFokzjk4HDMYThvsjTHmG7KzfvxFs1g5bCxrrs8Zc4DAWjIXKQiggDCVWOlonfLa3qanqmmKpoA2J+n2CXg+ZDGhNjLEteVdgiwZLQ1GsMU6jYnB9h1MOKSEaCqKxIBkqgjgCoQiVopeFZFlAFAnqumM5KzhtKppma+zUDtewNXa2/lAnfPq5xIfHQkEYCYywuABUIon7jjh0JMqhUCgLDZooFITKIAPj25oL0DKl05K6WZFvVmxWjzfTLM809dqhFBztVswGLU7B1WczPvrhJ/ieFz7NMBoA8OTkBm/FN5HSZ+F0DTSV9xr4AUkQqJLpQUvSTy4mPxVAnPrBqq4NTXOPKOuc26aZW5yxICXaGhZnR1Tr0ntfOr+eD0PJzk7mO/uiZroTs7M/wBrDrTfnnB61DCcBcRyw3rSsZh35sSdcOucoi4ratPSDHgiJSHok1QKsw2x5Otb6ye+F8T5PDA7Zsa9zNi9YLVtW85oolvQGim9+cofPPvfN7O49hXAt67uvcHMR4xzcbip+/taczVJ70vB25Yr19ygMpSdzO0+aFAJMpxnuDjm4MkA3mqY1OFfjLCxPfYq5rn26dls7rPHniQNrrTcYhcRwbwCsa81q1eCsoD/wbXQ0iun1Qm9EGsPqeEE27pEvCxx+cZfsQLtxPvNkAP2h9yqdYzAMGQ4jwiggzmLqomExL9FdQ1V4I6eaPWYo6zxMtu1fYR+fDZd695F1UKwMSSovDIV3o1oXbJaVX60/BopcU5xZpHQsd2v2dluEcFx7PuWbP3SD73zu4wwiL7twfXSFl+O3iZPuPSEOa32adBhW7EwaZE+g9b3snDi5J71QFppeP0Abx9lJw+5+TBeaizDNpisAx6bw/Jv11qPT6wfeMIock2lImoU89cQO1lrefGtOvu6IU88ZMtqxPO0uPAzOOsqqxdznoRpEfaQQ25Czpe00TW0JA8mN0RWe23mGL0Rf5uio4PSk8pwjoNcL+KYPX+Uzz3+SvWyHULZ8qP+LbP5Rx08th/yCmvH6m2cs7+iLEOf585VKkCTvndGrumN3OmA6TSm3IfgwlJydNAjpQ6X1wpMae7uStvU3X3eGvKhJkujCO2PvszKq0tB1fmEYxZIwFERRgHM+hHX7aM5k1GO9qdCdJepDVwm6yoex+gf3ODqTaXSvjQpBvxeTJhFl2bBc1Zwc1dQbS35sH7zux4RUEA/Pf8A7PM4zw5QSF5mu70ZZt6zWFfPTR4/zjzR4jPWTZK0dWkjCMOLGU9e4uv8cu1eeYjRIma1uc7asyFcnSHwoRymgu5fKKuSWeKdisigjDAKsMBhpQDmsa6irhqJpcRbiBKwVXoukMWSxpR5aloOGTmqkHIJ2VOucRCREmaTfF+xNethKM9gXBCLEsOZoseHucUG7xmvjiI6mNnRzh0Qw3A+YXokJM0FeL5iXGUY3rOWGDRVts2G9Ljgta/JOk0pN55Y4mZAkgmEmWdWgDMSh4tueeYrf9vxHeL6f0adgNvfGVtkpblbwy7OS28biMj9auMoPGrYFXUGx6nx2mPCptVIlhNMMbR3JcMSiWOCsH8YFEEoIHXSdwLYC2wm6ylIXnvy9aXyYQwlvXCljMcJirfKu9zsVzuUMxn3G+1OGowEuFWha6qahqpd0ekPQk2QHirZw6HKbCZMAEbhAYCQoKQjjgKwXMR5GjAYZXdMRaihOOjZ1i8u9AYvxjfpcA8NJB8pnfYlIICIgdBf8iCCxnmAqQDmB0iC1wHUC21m6TqOtpUPSktLYiLqtycs1m1VLsXo4Ce49bX5LTNWFnzxTqfjs4TX4pitcmz5FJENwDm1aFsUZDodSwq/2twuj8zBIJyBKFGEcbI+tcdZrgGhtWS6bi9XvYBDRNJr1UqNbTVV2tFVLGgY+42ncR7ea/KQgCHxWV5aFTA7G1HnF7nYwaMqGzWbD8e0K3fqV3HxeUVeWYukH/t6eZHolIM1CVt2aaTSis5rXVMk6diyPFyzyhsWmpus8/6JqS5r1CT2pyLKQoujI+pI4Unzrc0/ync99C1k2IZQ1iztvUC592bXTruHnT+asNh1IQTL1g7btQDdQl44y0WjttW+McT40NU3QnSEbZhzdnFFVnhCuAu9el6HvL6YFIZ3XZSm6LYFbka9q7yEJ5MVA2baGujIsTgwyaBiOA6Y7Mb1+SL8f+0nSGOZ3F2w2LUEI4x1FWVifpbY1qIL7skeEEAwGEWGoGO2OSAbpNsx5ynLekc8t1Zn74AwV4dP/w55PZVexH/wREEbigtZ2bj0Y7bzh+66x33Sa9TxntWpYLx5zxnH+WTjj9VICpXjhyRt870cPuDLYJ5ShT8F2hlWzBiEuCNS6dVQrR3/v3gQeRYo4Drfd4b2TU7Hx4aNz6M5ydtJwcFVQNR3ZhddKkMYRJ3XOYBQSRZIkCbh2ZUrddGzSiigKqJuOu3dXnBxVNIUjCCx1ZdisNeXSh36zsWR6zXuY1s2aLMiwznJSnuKA1aZktSo5Pal8SGwckbclnekIpKLfD9isvScjTQM+9bEn+ewznyILUyLZIIVm1e3wc5N9Pt+f8c7NGctFSzL2ROK23Ho+No5k4FjMO/qD4MIwU4FACE3bGUaDlKpqvBF27qWJBGJ7N5u1Ixk52sbSVJYolpycrT0/8iEGQVUYVvMO08BoL2AwDplOUwIlMcYbeXeOlzjn6A9DL4tx1XtnfKhXbNO+vRSI70+QJiFXDyaeRzTqgZizWrQs3jFftbEjhNfuyXak17niPGx8z9tktzpDxvgF6TmMsZzO1lSVpiwebeQ/0uDJUnAItIMoTegd7DJ+7jmCyVM4KZmVR7x6fJOz2R1O9Rk60AgpaZ3GWC92hgOFQCKJw4g0CkmiABFYhLIo6WjrBozAOMtwKBikjvXG0W6g04YkaImSEmRAMsjQtqYqciIjuXFwlbQvEGFJqCRaOGTU0uqcs0XFnaOO5doialh0hi4XNNoiQsf1GxHTKwOySY94FHFa3qEWNdYatKjQSUgjJXldo1tDJBWB7JiVb5MOK+o4Z3LVkEwjMIoPHz7JZ575BNfSEUk3Y708Y5UXrCu4WbV8aV1yWztEL2QcOopQUwlHV/qBu14D2mfCKLwRpYKGflTTDmp6SUatJU3pkMYbCzb0WSKB9YO+6CS6gFyA2Tis8BNWGEAUOLJAEqSOQFpkYDE4qrWlXq9ZHxVkg4TxtRHT63sk0ym1aciLBGtLpKqJBhW20ZjWoI3DOJ9mibAooREZZKFEDiLSJCQLFZtYed2iGmy1bb/brLDzrikCIASRCGTsW6aWflUdRCBjBwHUHZjSIjtL5wTGCrT0GUPaSloX0hHTdJq8WLJa5WxWjnL9eB1vvKfYBIa2hFEaMghCdq9/jKi/A0Blat4+e5WbZ3c5y9dY7UW/2tq9Z/IRQpAkoSd/A0EcXsTgnXOUpdcfSdOQfi+kqQ3F2g/QQdgQxUtkIIkzL/ZW5g3OwY1ndkmyCKkkQRSiO01btzjn2Gxaju7U1KXFNLA68anuXeMIYsG1j4XsHaSMphn9SY8383c4qk7RTtOYBq2gsIZV0V54koy2vFPk9PuSubIkWcC1G0Okdnx8/xoffeZbCOMescgRm69QrXwcfaM1v7RYstw0JJlASEWxNj6t/czRbRxNYplrHwI9z9hXoSBJArKiJumntK29MAzt1tJPpoJ67miWDnUg/HElNHWL6XxqfxB6roRSkl4vJAqVn6gFVHNHvexYnGrSTLJ3Jeb601N64x5N2aCCDVIKKqUJY3FB2O222WTO+VCWwLFcNkynyb3sqcAnWCgl6PLHM3aSqSDI3pN4Ag5Wc4PcLgzOQwZN7Q0ee58wijWW1emK5aKizA11+ZhMUeHTiusV9Hohg6TPJ/e/2Rv3QG0abm3ucHN2l7P1kryoL75aLR1t6bBTb6AJKciyiDgM6Yc9VuIej2i97KgK78WZ7kbbtuW9iG3js6KOoxVXDyfEUejbc16R9gL2doakSYiSkjBQWGsJQkVZNeR5y+lRw+quoc0dunbURYPpfBjz2kci9g8TxuOUybjHW+ubLJs1rW1ZN35g0NpQVi2btQ/dB6Hg9uIELbxHaH9vwGAQYw08e3Cdjx1+iDRISFTJfvIOd6qn+dmzJ3lRvcw7t1ecHlfe2O47VOgozizN2tFVzmc5CU259RY55xdBh1cT8qJmOEipa8tm3VGX2/EgERcih9b6+cKEjpOjemss+VBZEErSVJGk8oJvFMYSq2FzbCnOWqJ+x+m0Yfcw5qmnJgz6CWXVslgVCNERJ5KmspSFpmm2mlYOVlvuXBBKRpMQJT3HL4o8DyiJQ8Dr9Xy1OE99f7dmk7uPQ6fPjXzu38dxNl9TVh3LefeBhtYjDZ6qJxglAiNj0quHlDsZtViR2TPaouH2yR1uvv0ad+6eEPQF2ZURgRA+m1j70IrcZuxYI+g6g0UjhPUxOukzdGTlCKVkOFH0Rm4rbgY0oLSjXdQslZd5GXaGloJqU3Iw2OG5w6uIrGZeaI6PFuSLgiyWrEvL7bua9Sl0OWAEC2tZCU1vKrj6fML+UxN6OwOMCmmtZl4V1E4QKkEgLaof4BYBgUoI2oJeYOhZRbXecFPkkDqigeSpgwnPTZ/gozsfYirHyHrJ2ewWy82KRdNx1mreqh3vVJLSCbJeTDgMSLKOpap9Krrx98S0YBtBYCGVDqEsFDltNaDfz0j6Y/K8QiiHHAgvyheCrASqdsjzMGAJjXM01recOBCkCbjIkXQQ9jwZXQYWLFuhQk2zzjG6Ix3F7OxOGCQxSSDZ2JRC1BjboJMKbQusbr3wX+toa0PTaGxjUMaShpCligBoSo0urTd2aoFQDneRCSkIQp9WbUOHVj7771yPB+Hfy+02L/QIsnOoSGCc13DSLqRzCdiUvHHMVws2qzn50lCsHKZ4PA+PEDDeC2grx/60TxEJivaMqzpl0xW8NHuVN9++xd131j6Vdi8lDH3asd3y/dR5ZrM776Ce4wF+tZ6v3YWnZ9CP6PVCr4/TGM8VcZBvDGdhCUIwORjR1h3LZcXO/oDdnSF2q4UyuzNnvShIkoA8bzm527A615HaLnbKM0P/UHL1yYSrT4wZ7Y1QoX8AxhlyXVxcvwwUQRSQJMpnP+FX7Oum4Rf0DIQgSiKuTyc8Hx+wu/ccUoU4a1ievE6+zP1ABdzpGk5XPoU2CCSDvYA07VjOtG/XdkvI1e5iIpdKoDpH0xiasiYb9egPE88hc14vpz9SlLklnnKhAK07x2q2VaHd3m4VCHoDRZR470y4VeCVgSfcd4Xn1RTKEzn7w5z+dEA26hFnMUrN6DWatjHUjaZuDEF4v2fCUawt9TaTKYw3RGnk9VVqn+3zfkq3iHuEZGffm+p+P6zZaqPYe21Ld1vR0O7cELQsjubMT3OKoqPYmMfOCA5Cz6NqB479vQHadhwVx1zpHVLqildmr/HqO7e5+c6aNFOeeyIA58MeVkNXeH6Js46q9p625l2Epbb13ojJJLqYjJv6Xsr0aulvlhRLdqYDuk5TNR3DfsrBZOz3Ny3Hp2tmiwIVeEPp9KhhfWxoN94YLeeOamHo7UiufyjhqSenjIYpUvqwYGc1p9XZg/fgXDDU+TBSkikWywKtLVGkGPRSdkZDnhk9zV62yznbyDrBS6urnJRH3C2O2FQly2WNMY4r1xIQUOYGpTrywGBaLjwY9ztijHG0raUoG6bjPv1evCVkn4dyHMNrknLmaDfeqIu23kDPITs3hH32XBRJxtOQJFWEgfAeIgFGeyO1Xml05xiNS8bDjEE/pZfF3D5aUFYNWV+R9ZU/r8Yfs6nsxfvZSYO1jtN0zZX9sfcuN5q2fn+NoveDOOeqvWuILmcW3XrF5bbwHEp3n5vTWq8FtViVLOet582dPtrIf6TBcxwK9q8d8PGDpxgcjrkrZpwcvcLepqQqSo6OTmjma/JFh+wU8a4XVlOBwAkfV3cdYP0Da+oWrTUWRxgHJGmAqjVjJdmdDFC7HS0FZ8d+RT5OYyZhjLaaxWlN21iqdgmhQTSCKzu7jNOYjcmZnea8/uqGtjZkPcVqY1ncAb3BiyRudQvSAUyeDNl7dsDoMEOFirK2nvzsvB4OQmKVJutJwmEAJ57XFpiArI0wK8tppdGp5eq+4LnrV/jEwfNMVQ+KFScnb3I6P2VZ1NxtO05VwB0taFSE7lpkIMn6CUnqReWKtMUZjZIGJYDOEVjHIFIEAQSJxjmNsZadvT3qbobRLcoJZCfoVqCWlnbtCd7RNmfDCYm2XlPGdVvBxcpSOYGMLEJIP9AqENvnpB20rcMZh5IghMZ0BZvZinppidOUtBdhgphO1uiwwCQNInaoWiCNodEVi5lFWE0gHfOTmnLpMBW4dsvTCSQoixSOLBRkkaULoJGCToLaChtavDcrEBKMQzdgKuHT2AErfac3KFoT0LWSs/WKs7MlxbqlLPzE5prHG/3L3PLch0ZcP9glmfZ5ra3Ib73EW9Njqqri6J0Z61XNcubTvqcTH3YLo63reulI98Q2swbKosNoSxB5YbQ4kYymXq9iZycjDH1G0WbTUKwNvaGk1w+wzrKaa5p6Q7HxUtTWWPZ3BzxfWG4mgpunC15/aU7b2ItMqeVtP/Dfn7YTpoK9ayFXnxgzOZxcKFm3VftAZhJ4r1Q26rGalxfv0zTAGEtZ+glpZ5jyfLTP/sGHt+4qy+boZerV3PMzrOHUdtxq6y3h2BtNw0FMloUEYc1mpS+Ij44tqVj4rKtzoT5rLEYbdg9HbFYVWnt9kXAiSTJLvjaeRI/XRolTQdN4wrAPLXpez2pmGO34oU5Ir7vjs0C898VZ6LZZNOeDrufhVGxWHf1BSK8XXoTy6m0afNrznAiArjOcneQ4669pdlaQz837ZmSpGNJdcRHSfYhQ8QUcW1FH68udCMHW4+Ov3RrL7M6Mk7sbitxrKZ3r6jwOrHEcHPS4vr/HZNhjXW/4/Dsvcnt0l7yuODpbsF43FGs/oaWZQknP61CRz4otF956jfqCutK0ugPhCAOfeddsM7EOr3jl9qKoaVvLZqt0nPUVbWNZzluaxlBU7UUocjzMeGr0BEfFCbdOZrzy6pyutSSpolhrVncsunoweBYkgv0nI65fHzEZexXhe3fzvTc7iSMvHwD3Qk3WslgWWOcwu44Xnn6W/WzvgSPdzDe8uXqL1njhy/WmQgXnfDxvrPSHXnsriDpPU9hmJ4J/7mlPbdu8pO00bac52B/Sdn5/Ibx3o8w1QaipEnchF/F+DaZtLKtFR5won20rHrxs53ybvz9ZYpPXrFY1xUaTZIok8QuENFOkmS9XsVp2F56pIjfk/Zq7x0uCQDKblRRL88iSFEJ4T+A59ytIBdlEeMfIfWgLR7X0i5eu8n+TkW/zbWcIw4CTszXHxxtWy86XEKmdzwB9BB5p8OQqQF69ypPPP88mXHNya8bbd444ZkPbdCRSM4gEYeezVHRrINmevPReHVoLgSUIBM5aBI4oDOllKeNB7Ae0fsbufp8qXrA+hdWxhBKuTAfsxBlV3bI5mzM/qdCpgtgwClLSIMJ0JbPVGXduLViuLNrCKnfUC9ALB0bgfKqX5xBMBMPDhHQaIy9EkgzOeeKo3KZkO+kgtjBQmFSiBUTG0VWWpoWl9quVZ/YP+FCwy6RziPKM05PbHJ2ecWe24k5e80bdMQ8DShNSVB1tbdCZRQ4FaRojAoiyEKxBYolCh3AGhSALAwLlkEFDKSuapmYy7rG7MwSzRAmfraR2JHZpcQuItM98MKHkrG45zh21g1RJRrEgS1KG4wyTdry62UDkiBLfEELtQ5hxJIiVd5FqfF2eYlkye21N6CTDaUo6TQl6GYQBqBIXNohAEwiHwlBTcbSscRVsTrzkv21BWP8bbFWbVSA8sVp4wrUOHShBGEhsa33NIytw0TYdsnZe18GBUA4RCrRwNK6j6Az12YajoznL09KTWZ3A1IB5dEc4h+lgsjvmu5/7Tu62Mz731he49dack7trutaHFgaDiJlqfVqztt51HfjB0rSeoxKPBRKfHQUghQ8/9QcRzrVMJgn7T+xSrktWsw3LeUvXWJ54NmM4iCmrjmJdMj/xaqoqEGRZyCAMsVqwLCuObq9YL3zqdLmxNEu/+ntg5Bde7G1nP2W4O7wwdgB01xFE7x0CLoygbehts/Er9bo2pJHiN+zuMRld3WqIGMrZ29SrY7Sz3KxKvrJYUxufPVWXPnssDBUO7+nZmaYkSXfBNYgitU0NF8Sx2q7EPZqiZrAzZP/KEN10PpPLOVxnaXe8BgxOMEoDrHCcFg2LeUtTOZLME6r39wJ2+jFWwZ1T7xkIB6BicUEkjjJBEAYIeZ6WblguWo5f7xCyZbivGI4DT4i9YFN4o/wcda25e8eHSFZz7bVU3mfwF4KL0s3vNnasgfvTj00NehsZqmeOZMfLhbStoSkbqrLlzs0V87Puwtg7/97jYn884bue/jZm9ZxbZye8c3vBnbsr/8x7yhvmRlDnFms8j+N+mA7yE8swkBdlPW4MrvG2vcVoHJGkkn4/5vqVKU3bkec18zOfnbh3EDMcxrSt4fbNknxlkLJDChiOI4JAcWtzh9lmxa1bK+rKr3ZWZx35yZZr8i6kI8F4GjMd97h/pvfG5XuNnjBUF3o0xji6zvfdxawjSRTf/MwOB72DrVq6ny/uFDPeWL7NYp0zW+SYbZmGfKN9268N/X5ImkYIWtJU+QxMcb+GkycQe/6a59MURc3OdMBo6MnLchvGm06gqjR53hEFAWHs3d553rJaegFFFQj6/YCsFzIaJqgATsoCIaG3I2mKe+NDnIkHnqOxPox295UWIWB0GDCYKNJe4BegSjDZiej1vAG37SrkRc1mrVnOWqrFoz0s6USQDOVF35eBr/O4vm1IxpJk6Bew9fq+7C573he8gbYpKjZ5xa1ba+anHVb7EHY1/+CMsEcaPK3V3FyecqU9pbVrVtWK5arCtRXDnmR3LHGVRaaO1AUIZxFSEieQxgqdG0zrUzWV9HFLKSxhIIijgF4W4owiGQhs2FLmLZtjR3smiJ2gl8RcPdwHq6iAfHGCwWc7BKmksQWnqzVnixnWGVQEdeGJYWblEI33NPl86nupsFZYmk77bCfhcDjiUG2zRSxSCAIJQRKTTCLSg4bNSUmzND6TzPkSCd/67JRv3X+SqYsQ+YL5/IRbR3d5+c6SWwvDW5Xh7c6wpsPJmtor6JNkhl7TEcWSLAm9tg0hUkIYOOJIEkchkVBIapTpCJqKZVsjxIAnp7tMgHEU0gtCMmKiThHWltD4WmXrquG1ozkvmg3z1pIGkuuTHk9dOWRvZ48TvWFlXiFPagZjyZNJxkFvRJb0EJnA7g2wgWLjWlQUMe6lRP0GkxvEqkE3LS5T2FRiE4UJEmzYIkJDFxqstLhO+NprRmADECkXxUHF1uOG8+G0RgpsBuFAECYC2wi6UqBLQRA5jLTbGlae2Gq35GUhwAhB3jhYVqzXHbM7JeXSghSIcLsSfryIFlo77t5Z8uKVN1jqNcWqYr3qMF1Lb6jY28vQ2hKEftJxzitsh5EkygR14NClDxnKAM7raY3DITO7oN+PSWI/uDrraKuW1ar1g7wSxHHIRycTgiG47oSbN4sLzo8QsMHySgyLO/nFebTGocuHGDvgiYwKnLV0TeuF9bb3Ihs+pBolEEQh490B67UnLTeNFyLECT77sSnP3/gIUTZkJ3yD2+/MyRdrbtUVb+cFb80K5metz7AUnmvinKMqNE3jNX2k8kTf+6ECRTrMiNIYawzFoqBrWtqqARwHe2OmhaanFJFQxCq+CCsIfC21rq24WRX8fDBjU7QEgeRDhyM+OhwxHe6xbHL+Yf3WhSjh/k7C1VFKP45I4pB2El/cvigOGY0imgNHuba0jWN+1hHFmjiVDxg698Nah9HQ1p5/5hUBH9LOaug2EA18SCkIBU3tMK2jOnU+Q2v7eLrzSUrgwwXWr5Dr2rBceC/U6d2WcmYJM1+sFDwJ+nFgHbxzd87r+2+y0Rs2ec3ZSYPRjsEopCcV1m7F4Nw9b0GaKZK+QVeeh6NCn8IMIJFMkym38yPC0Kshx1vjerEsfIiksSgpGA4Tnr1x6Gt4tbe49XZOXXluXBh5VfW8LZgtNxeTrNWO/Ng+vGwCPjTq8FlIvZ7kvNGLd1uX+KiEVIrJOOOsV7FaduRrn9YdBpKPfOiQj1/5MJEU3MheZKDP+Pwrgi80HWeLDWdnJetlh9nSB84JymVh6PX9NUeRotkKhp6fx7CfMhykJHGIEIKqblmtvTDtjnMc7I2QSNIwYRD1GWyzQ71n1N+IvM157eQmN2/PvVbQIODwsM8zV65ybXDIvFry8/VLzGct6URw/bmE/Z0Bw6yHCrxH9Vw4MIlD+v2Q0b6lWlmqjcUKy2alL0jL4EPQ/VFAf3ttxjrWq86H1u4jGT8M1cIRJo6wt30ODpqND9nWS0uUSaql823+PmwdyZS5YRGX5GvN2e2W/MT6thfwWJIPjzR4nHTcOTniS28oBkNFvfFKv2kAexPHtA8tIdcOUtpW4aREq4DDacJ1M+UdzjhbrQhCRxg7lNJIafDygjWd7OhEi9SGfCZYzjXNMUSdI+0J+gPJ9ev7jKIp0UDR3i14p90QCkmoDMvqCGjZdC2d8Oq71m7DaHr7ksKHtIQPk3TasZg3EAsmTpFknikZRwFRqEgib/XGKmbYGyGyGNcoiqMNq8UK0VqyUPD8QcInr42ZxALdLjlan3C02PDi0Yov3254c+E41VBEoJUPR9jWu7DrvKNOGhJhSZOAUEJjfAezKBAhsVBk1tF3hp6RNFqjXUtXa67tTPlkGHIQRaRBQqxiAgKUEUjrmfSnyyWy1pTzhqhoGCYRH98/4LmrN5ju7XDSlry0vMutsGI0FPymDz3Bp5/4ML3+hNIZ3tAFL+oNZbNhHMW88MxV9q5ew9TO14/SmnmVc1wVzJuaRW1oEZgwxMYBMjJIpZEJhDsOIoEaCrqNl5i3DbBdyRoLtXHEqS8gqJKI5V1f0LKrQFhf0E8oT9AWgZful4EvJuoCyEtNXq4oVh3Vwvo2EHGPK/SYcM5x++01Xxy8TH+YkK9rTwZMJZNJQhj6AoNXrqc0jSGOvXt/fz9jugNvBRuWdzUq8roR55yLytS4rR5OXRuiCM5unbFaN6wXHcZAkgmm/YTnJjfoja+h0i/yE/JNVusasfV+LI4XIKBr9QPZGKZ5iLHD1n3sYDFvUGrO7hVLNu6/d0f8IHw1OaAXZLxq3mA523B6XHqhxEjyySfGvDAaIqVC1u9wfPs11hvFzbri5+7OuXO7oi7te8T6AMrCslo1fhIL3/tQVKCI0hilJAcoeplkIxterQvauuO6iHhhZPjQlTlJr0/NgI3ZQ2BpbUpjUxbHtxBnx8x3Wl62aw6GCd8ymrBz5UNkk+v0NqdcmZ0yX9VMdkJ+2wtP8PSNbyaIexfP6Jfz18l1QdJL+NbnrzB8UuKcwFrLqutYlSUnVcO6asmLDqM9r0jK+6/F1yALI0OZWbrcF6C1W36Wb2jQ5Y50Ipnuh4SRZH7astxmsLUbR5B54yJIfTtS8bb9bw3gYmMo84pqYynPLLq8lxHrH/4HtfZ753Ln7obPD19l0I/JC191PEkV40lIL42pm46Dawk4Libt3b2EySTh7VcKFne6C9VqsWWft7Z7oI2u85qq7thsGlaL7sLD289inps8wzSZ0A/7/EL0MsdHJVnPk5NP52tPKi4bziMwuuF9jR3wYbrVokWKBVcPx/R7D7f+Qhnw7OhpQhXxsniV+V5JvvGhpDiRPP30mG+68SyDqM9+8hZ76sv81Ct9fjxXvH57welxQ7W2nlS8DdXkJ/59mPqsQGguFj73I45Dkji8MF6yNCZLI87mG1pteGJ8lRfGKS+MbpOoI7SdU9uMQHR0NqaxKfNmD2c0m6JCKUiSkI/ceIqP7rxAIAPGyZg3Rre5ExbEieIzn3yBbzp44YKQ3lnNa8vXmdULsiTiWz/2DMNPDcnrirr1PJ3ZZsXpfOPD7oXGWMdq7o3CKJZkWw+g0Y7RNV96otmSxx/mcZEBDLdZd7PTBr3lwOkWNke+cHKQ3gv5BYnXlQtiQVl6radqbSnO7ol4Pqot3I9HGjxB4vPb37x5h8EgoNIV1jjSULAfJRzGI/IOopGkagylAqkCDidTdtMnmaQDXrrzMg01MrLECSjp0LoiL1bMNyXlQqOsRjQCvYa4E4yGjsHEEaYdQSCYDAZcUVPCDbiZIA4FgTLk2lf8XleSde7oOlBCoNly6ux2dbV1D0vn04EXs45OgAxiwjAhTWMGSUIaBUShIFIJcZTR7w9QIsG2mvWVE+pba3oInjlI+MjVhGHs2LgNd5Yr5tWSu1rzTmyYD6HMJUXh0EKAtL6QqPO8jqowrGWF0i1yEiPjCKc1rda0CBpRoZRiCPTRTIUlrzt6Sc1iU2Ine+zJIVdxBHhhQSm3KxUExkIXCEbC0beOzDmGgeUgDdlLBH3VEmchN5KULygfvhsMI27sjOj3dym0Y1WckRUl0nakQcBzkylPix5JmOBQ1NqyKQtm+ZK3z+a8fjbjuCqoOgPOERFiI4cWmrbf0aaGaAR1DmwcpgTZQeTAdT7TKutLRnsJQZiRn22wokPFAjUC1RPbAnR+6IikD5N2DsrW0SyNT5c/l+6/F630beExCZxJJqkKw5uvLBiNQ9rOYDTE/a1LfjrmeJMjhKDXcxcrxunhiGmaMO4lvPzqDGN8yDOK/Qq1MjVt3bBcVuR55wmn2ovpWQPjXcVwFBEo6dtlNuL69DrprXdY4dOr48hPAJ7z01JstiGdD7g+YxyL026b/aWIewnqXdLsqUp4oneNJ7KrSCGpTc1qb81yXhOOJR+7MuaT4zFKQH76BhtnMS7grGt5rSwwvoooXemQ8Xsdak1lWS00ULOz41NiO+2FzgQgio66bAgCxbVswE4UIwMv393kFeyOePrpCR8a3wRWwG0fGgUcEm0jjoOEfzyfEitJmgZMkog4CIh7U0+2zsYcZn1eUl6FNooy4v6Uc5WzPik73ZhcFygEz/b22Xv6BU/KxoGz1OsTlievc9pU/PzpjNmy2Qq3CaLQ8yU6bZDSMZwq0p6k2PgK7rrmgtBpt6TjOJVMJjFhJFkvfalylXgtErEl6p+XpZLKe4J8GM8rN3cltGt3UX3dV1PfcrTWj9no8W3xjdeXDIYh+cbzGcNIMhpmHOyNyIua49OVf854o2Z/d8SwlzEZrXnxpVOa2qtt93q++OfryzfYlBV53rBZewNda0dTWazzBsVkJ0Ip6UO+QnFjdIUvhK+hOy8v4JxjtVWM1p03YnBe3VpK3pcv4sB7Zo0jjnKyNL4wLNjeof1sj2v9qxfFTp8c3uB0Z8nxUQEInnlmzEfilAEhne348rziR1d7LAhYd+strw6KM0s68eEYa7xh26wdYeY4ky2TnfDC0wNclKQ5OV2xWpfsTPqkSUTP+bajjWWT1wTTgOu9iieyN7ioOfjARQpqnTL8qQFvWMtaQBgo9nt7BFtmdKISxv0BSXqGtY5xPCRR94T7YhUxjIbM6gVCSD68+xzjePTA2qk1LUfFMa/O3uSd2zOWq4a6Mgh8WRspJYORb5u6cwShJR46utIbPm6bWXleYiKMfJFYFQg2qw7nPFUgGQmSkXi4yvL5ueSOcm5/RYKG8EGlJVIv7LfcNNRdg5AO1QqmvYyrapehydCyYhOsfZVWpXBSkPZSDkZThuOUdXSbk1WDlYJsGBJE3vW8WW1YzjqKU4EuJKK0ZMqnRw73IetD2W44md8ii0Ju57eZFTWhgCwyiNDSWigKxXJuqTa+lpMMoA22oZMLUbutnsvWHdw2sF50pFnFaNBjf7zDqJcRYAgkpEFGlo5IkphAKfQ4Y3owRF/J2Flrrk4VNpEcq5aVtZy5hmWoKAcKO4qZTi0uLtCvttS1RSgvDNjiJ2jRCfTK0GhDZSwi6aitJi81VguE8eUmhlKQaF9bq8UghzV1WHJUNRxLQVZsCO3aF/70soMI4QeBxaJgfjYnL1pKDYHuWHczNk1AOV/QGUvYNsRCsHKWL5/c4UpvyDhdUTnFsWgouoJO+7DCLWOJRcUg7KFkCE7g2pa4swwN7KsAJUOsU+wO+hzuDgmTiLyrOWtz5m3BMiqZhy3LSFMPvDK0xFckdh2k26KZ1jqykSPdg0AKkl7gRcFqz4kIlCWO/IrKtA5nhe9YuZ8ChRK4cEuOPh8QH7NzpJmkLi3rhc9KkBJfW2cn5pm0x1NaUccx1btqc8VxyEfTa1y/MSWvG05PfShqMEwuFJPzbTbBemHQjSeVBinsHAZMdmL6/Yi8bbm1vM3TccZbi9ssN/UFcfi8eOF642P2xfoeX0NGD3clu234o2sdq5kmy2oGk5LBzvCB/Z4bPMXV9ODi/bXsCjfHt5nubhgIxSfHI1+2BaiFYZ4IciVZ14I0HnJlkCLVEt2VF0bYgycCxdps3eI+ZbfrDHW1LfTpIMkUO7sJX+xWFP0e6057pe6qYalrXr/bh3yMFJZ+rEmie+kgxsLL76R01jGrW5bLmlRKuoFmffQKKoiw1iCs5wG1reHVs7vsDF4nHeyBc1Rtzlk3A6CqW27pM4JjSdab+Etw0FVLAucYqYBBFoHy3IsbvYxnen1sICm7jtO29dpdZUuS+dVwlVvPfVD3Ktz3h55vAdAfKIqpQQWS3kjS1l5J+hy9oSTJJItT5zWWSs/pOX/sKvY6Pnqr7fXVcHjAZ/g0tW/XQkC/HzId9z2RPY08z+S+RxsFAR/b/TA3BjlF/TkW8wpjHFnmQzSNacmLmtlpS1X4lPGm8EUox1cC9vZjhPQaOO8sb5Ptpry9vM163ZCkXiDvHHYrUHheFFaFAhULbPXwju223rSy8GKTk0nzQHXtQTTg2fEzBOKet3Ecj5gM+1y/USKAg70hayEwzQlv1nepdY3DP6u9nQFZGhGoJaYrLgpuqlCQjgXV0qFCf97Lma8ekGa+rtd62fkkGiDLOqq6IwkVv3HuOA4cq54ne58Wc+5Wz/FkGJO49z5Mh6P7UkX4lYb6yQBCaDrN3fyIadxHygBtDdb5xddy3vLayU12emP6kec2dbZj3iwA6LTmlfnrXBtcpR/1EAiSwCcNCSGIwoAsi9DWMBgETMZ99idj0iCl7hqWxYaiqtnkDYt5Qx5oot6952ONvx+DccBknOEcrPodg0MvKfF+1dHPoVvH+sh+VXW53o1HGzyxJIisLx7WCoIQJlHEJ/ae5IXJlKP8hLJcUDQlubVolaFciAk6wr4lTFLG4x4rM0fEMcPRgCAIqaqG1aLy6XEb0EuDMoLeniOcCHp7ipiI5ZnjC/M3ubs65fVuRdl1jPuSLPHkj6YWLBeOfOVQVhKGCkGATlpcaLGh2xa8FAQ4JP69NdBVsDyrGA9qJv0aJS3QEilJGA4R55UqlSXrJezsjlFX+8CGu8byTttS5ZZGRNSBxKgQFfr6K1kmqWYNw0gzrCy1EUjncFiUEITWEliHLAWtbiE0FM6wKSR1rbGNoNIOGQkKCacKugA2VUGdDTnJK77kYk5PjpB57id5jBd+FBZhJZvScPNMc7eAhYPaWb60nDMzOZGIWdUdb6xamtJRK/jpo1POZjlxE2GjlN7T+9SjkLptWcwrbt+9y+cWHUmriGRIJBWhAiWg7QxF29JYSy8OmMiAa2HGOBtigUq3bNqak2LNTbfgTb1mFjSYwOACCI0foKYHntdlrKU/cpSl9/5Y4wfKNvdFTuMEwsiT0NkSXM9XEUhwof97LgT41awEwm3ttrb2ol4Ao2nIp6/t8lSYUpiO2cYTFJerhvHYh2FMq4n2J+yLXUbjm2w2tU9nnfS8GJi1rBcV+TaDpjzxK5S4L0l7AYOBzxIpypafXL/NO6s5N9clTWMYDiJ6fT/QVpVmuWhZz83WSJAIKbDa0CremxK65UmBz9yYnTUMRjnZMHvAy9PaB/OnB0GPp3uHqJ2CdVHyRu0L4haJwiURKvSKq1EvASCxjvWyJO3XaO0eGtbC+Uk1jAVdZ6kK66uzl16BWyjDZq5JB4rbaYH1QtNMdxLmdclb3QlnxxM6a7eaPb62WygkDqiM4ZXNituLAmsd87zhlWLDoe5IpGLRtby+zuk6n77+pbtzzspfBO09X+PrI0Q/pq1bZrdnvLlq+LnuDqGRF0TqQAgGvZCV61jVLXVjyLKAw52ESeA1l5xQ3IgSut6Aje74/HrF3aAkyfQFWbU39AP4ZBoz2h/TNR29Tctk32KtN2iaynv/fGaL2Oqt3POe6eqesSMUxBPvFdK1F8583IkhTuVFWz9HmgV85NmrfOzwQ7y2fIPTsxVa32tc59kysYrZzbzIaN20PqtqlF20+eWqoqkN5cJSLfyCJBn6UgfBdiFQNx2ff+117i7POFtsKEvNeHJP0dc5mJ+1F4b0BedkKN6TnXUOsy334Sws5i3DUUE/u+flybucoisZbXkxAEmQ8OTwOsVOzWpT+owrJdlUDUkcou5Tu5NSMugl9PoRUVai7+s+KhKkE3HBZzLGMTttLjwgXeWo116BeyYMo0NNb6T4m4EAA8oI+gNYFGt+/vgtbn55zPWbK5R1BMYRaUdP+2ewqh0/uSO43WmqtWE4gZtnR6yrNUoq6rbj6Gzla8e1ll9+8TZ3z5akUUwQSHZ3M2QgMMbwzp0Z69VdnH4D1/kMuelOBsJhnPX81brFGJ+plyYhV4cHPDV8EnDkXcFxccLtzRHH/RVnZwVn2/T1IDhXSYbJNGFnMqBuWnr9gFXWXYwXVvt7IwNBMnzQAHKW900CeFw80uBRIUSpRDdeWVci6MUJu70pg3DEqZ7RbGq01pgAnLMIoO5yOlvRC8fsT4cs2xjZ69PvT3AE5MWaat3gagiMxApDkEIwhHgcEMUZqkqxTcfbqwVviYIiMPRTSZI6LNBWgtXCkS8cwgT0B30GwwxjHFHY0MUGuxaU65Km6QiEQCXCSxMLi3FQlZbju2uccAyKgDgTDLOMJBI+TTFwiNgRxBHT6QRxbY/X1gXv5DWzmSFoArI2oz+K/KpG+YG3rVvasiMqLZEBFfiVnTMSZy2Bc77CfOOIDATG0bSSbu2oG4HRgq4DLRwnkSSR5zOWJdmvWZcdb6YZb64dxd0S1wmkEygcQjtsJ2g6WJSOjRWY1BEZQb7ueDHv6JqKxcqxLBxF6lBDxdxYfmZe0s0qkrTghZ0RgzSkrBoWqzWLWU19p8UswJYOZSQKCAJfEkMGvnJ3LxFUVUdddxxOcwZRQiJDEmvpV5JRHbLTJGAdHb5cRToK6PUjptMUUGyaBtf6OH2xNIja0Oae95Omgjh1xErQgC+BAD5sGW09e4G7MHbYfva4pGXw6cbnYQPwekJ7SUo2ucbq9E208cZO0/iaVkpB22nW1YKrk2c4HIwopyVhHJINfTyiazTFZrtC3RKJw0yQ9CWDfngRGjPGl4lY5j6DJY4VvX6IQFAUHctlw2ah74XBxiHWOtJMUg0sTeEuKiPjIOyLC90PgHJjOb5bAKcMJxnpICVMIsrzNKAthBA807tBGB/z03nB5+7O6TpDGCqGo5j+MGOwN7o477Zq6JqOrnWkPelrH1nvbTwvqQHQlJ5onWSStvHCgc3q3sR9tjYEmSFIxcXkmKSKum55Zy9lvVxzcpZjjPVJBgikga5zFK1mue5oG+vVYdF8/u4CJQVYWC47itw/s8FYAYYvv7qkrhxJKvn4OGLSjykWOYt5xfHdhvzM0swfnFSluoiCoUJBPGjp8hM+dWPClV5CFigiKQkRDFTAMAyZRZJm6xQMQ0W/H9HrJ0x2BwS9mDqvfW2vwlKsjOfx5F7KIewL+vu+DMf5PYV75yAUpHsCFXGh1eMSQTx5vPbe6wU01YMkiDhWHI72mCZThHuLdV6/x7DotGbdbthLdzkc73A2XzMcpAy2npSm1WzW7UVyAvh08WQgSRLFcODrpx2frLlzZ8Ns5o2j8TS6V0vJecHCsvTGVpxKJtMI3TnyRBOnPrxR3FcNXAZeyO4cbWO5eycHHINewnTcw0pJ0eUPGDwCuNq/ylk9Z77KuXO0ZL3q6PUDer2QvZ0hg37C+WDiQ7LtexZUUe8hg43wfcppx+bYPqDPNHtLs069ICfO685Ez0qKsibPCt4yHX+vZ9Hay4VIByGCtnVUgWGTG5qZ13HrtEOKNUfHa+raUGw0xcJA4Nttvu7I10vqlSPOJJ/89j32dwcs1yWrVeMFHG/Zi2KnyNW9SxDn6t+CuCco12dUpeFkZ84kGzKI+xjnvbhR6FWtd/Z8ckKcKKJQkSY+cy4IFKb0ysnWeDFG053/9QT5dxs8j4NHyTvABxg8EggTh4q9EKAzjkp35MbSmgDhIoRVvhM6h7W+Hs2m2lCnBdNsh6uDK8yLJabXI4wSrLNYY/CVBBwutIgBBIlP5RVRgLYp0iaECqJhyFy0OCCMQFvoakGxEKxPHW0h6fVTxuMR472R57IYQagjmoXm7vFtztYLjNN+IowcMnScZ6TXy5pT3dI2MeP9jFiFVFXJ0q6Jm5BeX9BPA4I0xUxSyv2UpegocrArTa1LLAYVCVTsGYWmM9CBtI4okfSHKZ1yDDtNUUPTOgwCJRx7g5gsihm0Ac5V3OwqjLBoBQsrKDpLIiGRkrh2yHWJKRuKqaEbTnjneE5tLab1BN8uF+hKYLXDWoGMIIug7/C1ngysNobNBrpGQAdZZIl6jjby6p0u8IT11rSsNxXrVUXXaqSSdCG0zni5ASsgcIgQlN0WnXSO43dyvnKnZJwGTLKAyTCgn3p5+qLrKJsOaSCOIsbEPD2ZcjgeEaYB86Lg5uaEIAexktgzHwu2RiKkD9vhBJ1xtFbQmu0EIN9FUD4fZLckznMexOMgSgRhJOm2K8qmsxTOsS8kiVQEwocxnHO0jTcCmrJh3W64LhQfmj7FSbEiGmYXac7O3Ys5C+EnKKkEaU8+UDQzDH3ZCLONHcSxr5q82nhF2dXM0LU+5Xq6G7O7P/DVso1DBIpiVXLrrTWLU5+uLrbGnhACta1ov5xpEBvqqmW62zE+nHJcz4jV2+zHO2RBihKKIErJx0OCcoEQ5VbptKPTnkekooDelgCtO30hHphkkumeF+CrKkOZG8rcbjPaBDt7Ef1+SBQ1CNPRbsyFZ8oZn73U5fcMw81KM5nWdGZAF0hWuV81Vrk3EHQD9dJPBtb4STWdCh+erDXW+hpp52EgqUApy2jHc26cvVfvyWpDvvKZOm3lxz6htokQ5/vct8o0raMtHC+flrz5YkU2VIynAbvTmGEW0AnHvGopSs/bkgqyNOBj+xNuJCnKwrx2lNaHuLrGUs8d+lyRHP/87DYsqVu3Tftmm+ni9xXKl9pwzodJ45gHJAgeBRWIBxcI+JT3um1xeJ6aUgL9Lu9hUdYUbcFhts/TkydYHK6I43vVt8/rooGfxKUShBlk/W2FcGsJA///ZDdiftZ63lt0TwRwvexYLTq62hFngulOzMH+gCgM0NoQBIr1puKdmxuWZx1saQ0qevDa843mnbdzdg86tDHs7444Kc/ohX3SICGUvhSGEpJ+2CNNIlarCmvwGWs7DmtXBIEkTTwHRht78SziRJL1/LXXtaEq9EV/lxJ29mMvF6Idgpqzt+597ty90hOwTfHf0wwG7QU/bDH3hVCd9Z47z2PxHpFzGYPRNb/QmG29YV1rKWaWeuFFCvuH95SMw9TzoM5r980XBcu5N3qDBLrzCNp9bd2xVTrHSwG8sSy59VJFOjymPw6Y7EXEqR+vqqa9KO8RxZL9RHH1YMLecMogGnBUHGGtv3+mcRSn9oF+9TDDxbTvz0wQeN5bOn50m3+kwUPjZbHD1MeDhYVGdxyv5uylA2SQEkYJzrQgDdZqtA4oK81qs+BQHDAIdznceZqZLTEYhPNhozQKiLe1kayDdBjQGwRYF7IpOvpaEfYdUltsa0kTgZSOphLUa0e3dug12MYRTwRxEhKnvtZKKCMCm7COcuIgpDeNcCK4SG3DadAG0WyvcaUx/3/S/jtYsiy/78Q+x1ybPp8t296N6x4/wBg4AiBBkARIYElwuVQgJK2kIFdcSbErbSgkbuyGFLHSBilxRUkrmhW5u7QAPQwHIDCEGwDjBz3TMz1tq7qr6tm01x+jP06+96q6qwsN7YnoqOpXLzNv3nvuud/z+32N8pR4UiFY2zvUtsDqjP4kY3faJ408XRoR7fUZ5wo1aymXLbYN/gemsxhviIjQUczudIi73jDoZYx7AxItWS5OeOX2jJMYaq8R1pGkObQCaQSjXkJW1HRnDsNe0HiBlw6PxxuBPO1I1i2LtqE/mmDyhMbWoAWt8dTK0wqwwqOkQDlBLoI3j0wUXeOwbnPjWI8voVsK0lgSaYsYbmzMNXRtx3pehe/ZCHSSIvseaVucdMHbRgrIPKLn0XGQInet4LjyHC9akqYlt5B1Eil9IFV2At1BVGpSI3GpJU4Ug04R1Zqo7jOOYq7seG7JkjeOVpwWFrchZDddmPyV8FSGC17BOW/Ln8t4ZQS9kaQ3evd9LSGCYqprAR+yft5cL9kVN9FCEMlgjtcZR1F2ZHmE7QyL5Yx2cMLW8BJX9g6Zu4uqiVSSJFMkqaAugzldfxRMBqNYnhvvxZEiSRRl6YJR4Sb4syg6mjq0OWwD6XaY62k/IxteoLk41hSr5hzcQPhTyrAoOkeInbDBv0NrQZTEyC3JS6vXeGX5OqNkyJODR+npnFIR+D5CsDhds161dJ2l6xxdfYECkixhvJWTxYorWcblXkYqJTfLiq/dmZHmG+dh4xkNkzCf8fSnitWJo5m95fpsAGs98yx7hnK3oy5reqOcONHUVUecSqoitICc8edRNqb251wZESRNGwsB6FYbl+vYYYaSrB8eEmkarPibqmGxaDYRH8HgLR6GGIu3rrYyhmQU2kjtOpTi64VhfmA43G2I02CqaM3F9FSRQIqOetwSRylaCPYbzyjpM94X7OQVrw9LDm60VKehSuZNkLrPj+yGPL15PxVk4Lb21CehRaKzoHCJYsFw+uDl/WxUZUj+PuPHQHBFfmN2h4cmV0l0TBxpmvZeF8Wqabm9POL68BrTdMLl8S6zZn4xJ+KQ1yZEi9SCbBKAwWgc2rOrdc2K8GRN0uC/NBxF59XY1aJjtTSY2lMcOnqPRySpYjzMie5qx2otWZfNuUrqzL3aeU9Tb3L/fJDxt7VlsapI4ggxEvze8fNoETFJRzw0vE6igjXBeJgH4UFcUteGtnFY56jr7hzwpEnE/t6IJIkY9BKGgwytFPNVyeuvn7JamnOjwXQTaKojwWCqWRxa2uL+a5JtPMsTy3iroyibTSsuzGMhBW4Des6Juz4AEdvC9n4UjHfnHV27CQomAKq28CT9cHJVLMLzMtE0Tcdq2YbYFA/ZRNJV7r7+RkJscr1kAPtN6WlKw+LAMD9tQ1XmDHP40Frsasc8kuxud7iBYxj1ORSS8TCHazDs1xxMSg5eb6gXYfNhO38eEXM2uvKd1/C4F6Ipovh/AODxC1BTSRx7TOLpamic47RcUHUFvTQhH2Y4uwy7a+ExxtC4joPjA3b9Dv3RLnk84aQqWRdzevkgcEDiiDSV9BJBnCh6wwwVKYwVlG2H8BZky9p2oEIOlG2hXsG2znnkoW1e9nNePVwjVYNjQdM1IDRdnIYdYNQQbVm2ZB+5UQJEQiOMoTg6pT6swQhiL8hXYGVNHQkqK4m6gtOV53Y/Z3Vtn+kwxkpLPEjZSjVpYlglDa72RIlBb8qRnbX4VDLeH5IPYNzLmYqcibecJgVLKzFOIK2m7Rra2KNIabuapu2Q2qP6IZJDqrBQayvwraduwRUd8boiKQrG2zmTSwOStAHr6XpgtgRtDU27aUUWAp0QFCRCkESaJPFU5YZP0IFdO0xPoIcgUkGaC5SUNG1LURiaAmg9XjSISKJ7YAT4ToKGqB+MvvI8eCx1rWC9ELSdQ+WQ7giiTNB2nmYVdsu+9bjKsjhds5i1nByuuDSJ6cWKSKc8nG7xcC/idGz4ZnbItw9OaKyByGEjqJ2ncQJvQzyJP9uh3gV2hISkB9kQ8vzdAZ6m8iRZaLlU60CobRrHnXVF0xuQCMlWkvCmKBCITb6SRcSK2+sVh4cvcunKB7jUv8x8+RKmNehYh7iGLCIfNGQ9RZoqBqOINFWBvLdoyDONJxjYQQAp63VLVXUM+wkfuDrgW8mCm29sVCvGsT5d0dYtSZ5gO0u5LOj3I3o9DYiQtxUF0vf8tKQoWrJcbqoGnsWiJUlCuT/OElanSxb5gmW7JlYRjWuRWjHaHZPkCenxEtOZEBJ8l7xcJxFbV7bZri2XW3G+sCR9xe1pzTJtqepNNo/bpMH70G7QKfjhxj/m7sWyDTyV4tSxXLQMJzXZfs7Wdo/lvMRsCP2m87S7PvAjNk7LURJAqduAliyXFEuLjELUTLuGYhmqPOMtTZJIlFbURRPCLe96+Osc4g7aFedVwyiHbEsSZwKtBXYS2irOhFblaFsRp8F9+/QwbDCsheLAsbrtmN854sZDJY9s5+zkKUOteW9/yDP9AUfbDb+xdcwr3ykxTZDpIi/S4M+GVKHq48yFKFElgevTH6t39Ap66yjXhiRTgaOzeX9nPafzglvr20zTCYP+IeuyuUdm7pzn9ukxN0dv8NDwOnu9ewGPksExW0dBRZqkitE4Ch453t/zXmVhQiskCfEBxcqQZTGPPbzD66/PedMUnLmNHxwv6PdS+nmK857T2RqtBTu7KQiBVpI8S2hbw+ms4vBOHaqdcP7ZJ/M1SRIRR5qbhyfcTk+Y1Qv6cY91u0ZKyc7WgGE/4/bhjCY2SCnvCjYNYHoy6jEZBs7Slf5lpumUF6Jvs1iW9PqGrnMUa7u5nwWmc1SlQSrQcZgrZ9UMD5tcRU9xGqpEq3VNf2/M/n6fLK8QIvDg2kkQcbSNo2sCLyjKBHlPIVUAjsXaEvfEuYlfNQuE8bN2YZwEhVVVt6zXhmblqWaOZLgJ8LxXl4GKoL8jSfqBUF5XjmruaNc+ZGFNZXC/XpvzeXRmDLm607A8OuDgsTWvbx+S5xFJEjEZ95mMe1y9Mual6RGvvVhgG795/l18tjP3N5iEcB9kkzDvzzLa3mk88JboTkLGkc7DzqFtPZWxHJRLbi+OmQ4ybBxIol3ng8mfsljvOCxP+Y55nctSIfIMbRWibXAixXWaRMKl3R7TfEC/H+GEoGzBdAIfOxq74LCsKawnTkIKeLH02AIeeXSP73v0PTxzZcU/+8IXObEVRTWj9pI8iUhGfWSqUUPFQKWIDYkjVopRb4i2gtPYcdweU7YGWug5gSkc3WlDrSKUBFkZTlY1Mh0QpUmwUtfh2F0maCuHcR6lPFI7BtqiVU0nE9qxQo5iitQzFYpqZVitBeUkovOePE7Y9obFek1voOhmhvWdBq8Uo4EjGUKUK1DBjMysoVm40JZqGqqiox0bxtMBcXRMJCUCifDgnKRpQytgcWDxNRi7kSyJDafjLMTSCWzlaZcemUp84lCpQGiwtcM0DtOBsALnLEp6ZOY3/jKerAfDbc9oGwaj4I+zOHX42wJW/pxzE6JGPMKGAlvXQl15FjXM5g1vnrZsDWHcE2z1Eq5uDbk03aZPypUsIdrp0csj4lxz7GveaEoOypZlbTE+tFsvQI8AFXYzg6kn7zvuUmI+cKzmFh1rlIJ8IFmeWrrGc7KouTmuuJLltHHwnSjLsJDMFw29PGK5avmSUjyqv8pyk5DeVg0qCiaDcSTZ2c0YjHP64x5SSapVRVe3bG0rTGc5OanO7d67zlFXYWF77uqQTz/xHO+5tORn5Jeo2o7lMqStZ1VLsq5CcOMwR2mN1CqAfBUe5N57kmzBrRunLOYdzgUQ4FxIGVeqoms6TGs4OTohSiJs/17vkrSf0RQ1flN7jpIY5UEJj0NgpOA017Sx5+HCoTwY71BK0OvHDPox0jhmlaHfj0grw6wyyAjybUFvqELgpww5YU0Z2lYh581SFw3OWoZbfXDBGV0oGXa4PngcFauGk+MGYwI/4O5FETbZfgSTxjp3pD1Jsmlh6khRF/U9YAfCfRKPQnijtyHVebjhT+U9jdaS5bJFyIZq7ch6giS74GSdtTPbxaZVheeo6Ji9Oecb20sGU83WOObp3QGPDHtMophL0xyegVEUM4o1p1XLwazm5KSlrS/AglDh+7gukJaTQcga+/12uncPazh3Lz7/mfWcnJTcOL3NsJcRafXWrhcAy1XFN269xLpbI4W859+cD9WNy9cytidB1aSUpGkNVd0ipeB0vj6PQRiNo0BQPmqoa8cHn93mB575BCfX5vwz8XlmpxV1ZTGmpigbTtSa4SBjOumjtdrI28XGyThUREKgpWd2EjhxZx5CxliOT1dMxz2qpqWoGpJY0/bu5jIFI9BBP6Obr0OchlZI4dHCY7zAeQGbzxslIzoXysKhAgxZphgPY8rGbj43uDhHWUgGj1NB3tMoJWjqoFqs1y542TSOakMS3pr2qduWONJMJpvJ7INgZLVqOD1u6LqwQb4bKAh15tsUKkf1ypONwjmQMmxsrQvk+DMDQHMc+EBRGmJDVBwIxIMtxXASkWWhGldVhmPdYCds4nUkd8860/iNijb8/fhGx+z2nN7Wkt5YMdlK2N8fMJ3kRFqytZ3hhaPXS8iSiNW6YT5rWK1ajIDetmR1cK9KS2x+nvQlW9sxafZg47UHAh7XCWxlUakkikBHUDeCN1YVkX6Ty12PQqwpW0fTClzn0Soob1a+40ZxjK532M1yRiJj3Ro619DVFdp15JlkmEGmBJXt6GWSOB1Qrhsa5UKyrtnYZ9ewPAFRwum4wT+dcHWwxYfeu+Q3XnyBxTy01cSWRg83QYGJxjuBMR6wIEMEgIw16daQvu1Ihg2+MdA5VCko5paZLOmSjrY0CJHhXYRSA6Kow9oaYw2ScHPhBThJBHzP9ZL37bXcKA3/+luwso5KdlRNg2sqDu2Co1RgZMR3PWr4xCXJ3/uKZ7ZeU2NxrUXVgkeuaba3PaWKaJzC2OBjUi9afOPpTzqcdZRNy3Q0IopGpIkjTRK00kgZ0VmYnVTc1itOXq9YrTvygcJHHqE3AXab04KDdhl2sloHh+3OdSH3zF5UTKIEsn4wkewaQZx4tvcFW7shoyxOQu+3LIJnjjDgi00Lym+IwJXA1WHnbppAULMuWAksC4hbR7qs+dZpy95gwaSfYA30UsUTu9vsbo3wqeCwWvPKfMHrszW3FyXHq4bSm3MyoIygPxGMJ6FXbd27ewA466lLR28giVOJ0qEkfnzY8uX4lFdHJa2xISH+7MY2jtU6pJW/cWeBnvSYyISRjVnUM6I0pl5XSEHY2aQRURrTlg1JnjCYDlgcLehac89D+iwQ01k4WDb4KOPalX0+Uc/47RdeZjnvKNaO6RYkiSbtpfSnQ5wJkQO2M6Qb0CKEoD8dsF235HlIXddKUFaG1arFWs+gH1GUXSBHek+iYjpncHetMFJfLChKCX54a8b7r625uUr4mVd2aBGsteDFvkQULQeLBe3m4fyhS5Ifftjzf/tSzqruEDJU0pzzPHQtYzqKMELgZPDLqmtDsQ7VlsEoPLiasiEb5njriLLknmgM7zzVskTpUw7vVBsysjg/VkTwv4EAuuuZZxVbol0d/GHKhrbuNuvFZmwW8igStLEjTiXbu/G5Ou9shY9jee5E29QedxJCMds6VKa7dch0uzjYoKZa3nIURy2Hccdrw5KtvYjpJKHxll6m+a7dKX2lcVIz26t4dbXm1VnJ0XGw84/y4OztTJjn+UCS94Oq7O659KDh/abV/xZEM5+1vPzKMfv7fcqqDdWKwiCFoD8Ijt3Oh7TqXp5wabDLJBnz5vyANIloWoMxljjSjIY5aiPh72Ux/V5CVbWcEqo7FyGVdfAXqjyrZYtAcG18iQ+95yF+68svcXTQIKRg71KCSAT9XkqWhl1923Y4glJ2M+mZjHs0bUeW6ZDFtsFkTeVom4qqbs8Bqfewl+9QdiWruy5WGl+ICgSeH7q64LmHC14+TflnL0zpXKgkvnD6LYy1HJ2sqJuwEH33Q5Lvf8zzV34rYl0GX7k4CcKZSzs5u7sRjRNUTYf3Gmv8eTTFYBhhraWsW4b9lKv7U5Lk4ljCtfMUZUMUzbj1Rsl81rK1nZznrUl9cV09wc046atg6WE8TRtk8WfzQIjgh5ONJDo589URbO3G5D3NeJjT76UsliXGlAgh6CqHioK/nLehE2TbQEB+a3q57WB1J4R8ntw0vNEvmezFDMYRCE+aKq5fmfLo+GFiGXNnfchrh3c4OFxyeloDHcWRO28T6yQc6+5+8LL6/cYDAU/cCyhQCzA6EJ1MB6vG88rJipN1gdKeFk/nBCL1SCuRCloJhXUUpiGNIvpqTNVsMWtq2raiWVd03uGqlkgpnO6I+pKVWVFZmNuKugFTOdpNhhIVuFLw9RcPmI6+wcfe91GefujDLI3gt772PEVtqTJP1AlUK3A+tNis9SBBS03dtHhR0oqO3m4PN0oxjcWXDeakghNHeWqwscEVHpMJkqQmSRxxnGAbTWtrYkLQp3AqJFxbeGpQ89wlw5Pa8Nos4cu3JWXRcFAYqnnHqhZ4r+hHjvftR4xFQX8QkUwi1JbEJrDdwn/045InH3e8vtD8jV+GWROT9zx2KEmkIE01i8LS1hVqa4fR+BKxqkgSRZyEdHfnJJGuKWae+Rsd65khTj1ZL2WiYrqyoF0GLbdwocVkSk/UFzStZbY+wXRnKdZBAbK1J9i7FHpFiwUgHP0hJFm4UeoC1gvP8lRSzqFeeLwVtI5AwnXBGsA6QWc2OUbWQwQi8lgBlYPKOuaV4/bCkEQNaezZHUb0Bxn9SY/dZMw47XGtv8XppOLWasVLpwteOT7lzqKiaMMNGMUQRQIdS94iQnnHIYQ49/+QMii21gtLXThuvFoyGzXEaXhIOxecC4Dzqowxlq5ueWLvEYZeU6/WlFLQ1S3FusW6kAS+npdBVq0kUiu6xlCWBuc8dRlAl+lCVaxbw/MvzNiZfIHve/+n+fBjH2VlHL/xW9+hqS1ZbhgMHE3ZsDpZ0hQ1dsMwlUqegx4pBVtXthlUDW3V0BQhlLQsO8oytM7O7PSFkIyiAQLJQX10X5Gbbw2Pjwqeek/JY7bmheMeX1n2MMYyO17QVuE9vYc813zsWsulkSWJEhIVs9/L+Y6cI6aO/+xPKJ56vOPGYcRf/SXNWoYHV78fB/5TGtM27XmC+v3cooUS9MZ9RkXNyXHN8tiQJDrcY0k4p220IfqwkW/Xnq71KO04PVhirLtQlQkYTjQ7eylShrYjQK8fofQFGb1pbPBFWjiqY48QmweoDUDEX3zk24cD24Tdd7f2rA8a3kgadCaY7Gu+mS75wNaEyXCXqJwxjSKemYw4vFTz0umKV24VzKOOttw41MYCrSXDQczp7N0Z8chNFWA0iVguzIVE2MLhQcVsFr732XwMZHt1ETVgPVXdcml/n0xnlF1JYxvKqsE6T1u2vP7GMVqFakKSREgpaJoOc9by8YFYHD43BEc+/6VjpsMv8X3v+Sgfuf5+OmP5/JdeCVEnpSWOFUVZI6VgtapYrEqElFy7ND3n+Egpubw3wTpHWbXMlyXV5rjqtUXIoF4VQvDQFckkGZOohMKUuA1Q15Ei0gprHRLLe7ZLHnu65Xrb8c3DnG8c5TjnmC1L5qsyuKBv7rePXbHs9xxZHDHs9WjNpgpjHX/5xxXPPN7w6mHEf/EvFMvKECeKSSRJk4heL2W5KinL4CGUphftGgHkUUYkI6RYMRk3HB3Wm2T2lslWzM5ewp03G6Ry5zxH2wUuTDII5OqD4+W5Carrws+nVzXT7QSpYDHrkCJ4CAnCOn58uqKqWpaLjnrlWN9xIAI/zXZvBzlvHZ5wb7RF4BWtj2pU3KBTGO5o+vmKy/2GncE2u/kOT249xp1rB9yY3ebG7WPevLnm5M2WauGI8kC619G7sxV/MIcn8SRaEElHp0IidBeFiV+0AmscsQYRgYw8SRxi9az3waDMW07LBV1boHTGTrJNVRyyWBcsDixdbThWhizz5DsK6z3LdYUVUHaCci3xK0i8Z6QVg17E0hkOi47Pf/Mm493LfPpD38ePX7lO3Cl+6Qtfoq4tftHStMH5UYhAEE2SiEQnCA9l3dDYmigGlYbWketn2EQQS48/aYNkzgt6E+gPK1SywAmoWsvT+Yxpv+FzqwGv+A5TQb7uiIVDK8t0AJ96qOWrb3hcaalWhpOloGsatIjIeo7HBg1tCUJ4vutqx8ky4riVfOZax/e+r2V02dM/jcEZmtowSiPyTDPoK/rjDD2LODzuaFrLJBqQxIoo9kSRItYJ3sckqSZWS6SV0ELsNYMoR1pDGku0thgcIhJEPUE2CJEerXOcni5xVtB1FuE3ZLuJZzj0ODxFFXyQVgW0NiD6uhCUS1gdOYoTsOtgVSA33OY4Cq7ODo/d7KiCFBC8DlWhkBfkcT4QbBvnWDtB4TvWr9zhVl3w6OURV0YTpkmP3SxnL814Yjzi9v4WL5+u+c7pnIN2CcJQ1aCsv8cn40Ej64cy89lI8uCU6zfeKLNjQxQJ4jT83ltDFJvGspoXnPZfJY+3uCZjXsRQVy2HBzV1FRyis77cVAkEi2WL36h0VjNLVbjwUMklSSaZK0Nx6vj812+zt/siH37oI/zAM59Ct4p//RvfoKkds1nNYBBTV10oVSuBlPK8AtLVLauTJaPdMWk/I+1n1FmFWhSMjWc+rzfBhtDrxehYc9LMQxUTeC4v2JKGX1pGlAQVTzEvQHhkBEnm+IGn5nz98wmzgzmm7VgsGtbrDqUE00zwzLTF2LDl/MFHDG8uM47qlD/0kOOTH1mTb3uGY0vvVyNWbSBxSykYbg3JhjlNUbM6WeKMvafSBLCbbjONR3xn9So61ucgQ2vJaJhQVoYk75DKnfO74qEgG8og9/ae+SLkR3VteNApJRiMNMNBhHOBT2WM3/wZZMJlYagKy+LIUJ147Ft4D+LdrcNh+ACQnAkPJVN3/GZ3whtXKt67t+ZSnpErRS4kj+Q517OMD+52vLQs+M7BmpOTEIPSdZaT05r7O9Tcf0Sx3FQUfMhOOjskRzD8PP9CMBzrIPXfHLP1ntW6Zt0WDOMhW9mUW+vblGXL8UFDXVuUqtFasrOXhJZWYZEqqLC61p2/dxRJslwglWXxpuVLX73JlZ0tnr30Xj79+EfwneLXv/RtirUh72tOZmtm8yJUaYBYynsclSGULZRSDPoZeZZweLJAyJo0lZyeBEXTpcs5UaQ4rI7IdY73nvdOCqaJ4ZdfT2nbEP1zcrokSR1CQZx7fvgDc779KymlsZzO14HMbxxaCcaZ5LGJwXmJkIo/9njDzTLnc03GDzzS8pkPl6RjT9a3RGrjZxVH9PKE4SBHKUk/T7lzNMdZFwJ9NyPTGe/ffh9KKH7v+BvM4zX44PA83CiVdCTRkThvTQmCsi/pCfK+oq4cp0cNbgN4IAhWBqPovCWa5Yr10tC1oTV9eFTQNkF5uTyylCcX6qr7em+9i+FcKGh0NTSrjrY8Zj6vuH71Da5v7bHb2+bK4DJXBpd5em/OG4/c5sbBIa+/Pme1brA2JMnHiaRtH1zVfCDgSZOIVDsUFu1DAKiOBV0T9P6KzYNMs1FIKTplsT7Ix5u65U5zzCs6Q/SndM5CKWlmhtVp4KPoBEjB4lmvXeiLOmhKEKVn4GFvkPDQ3i6Jznj5zTssDpe4zLHwJ0S55fGdp2g++gm+8/p3OPGWpnQURYEQG8+PRKPHikjooDZwYJVHJSGVO9WaKErp+jnrSDE3J6yNw0WCdCsn7knarqBsGpzvGCaODw2XVEXNrTt9Tiqo1y2REgilkBE8eskyki3v3xVcewz+y59zdKWjUy1XM8V2ZLnpAlfh+lafo2XF1rbmh5919KYOoSO8ldQnHuUcMm4QPU02VDy8I1B0HM81RVnRmSFRZMEalJZ4EeFdjDUbKW7jaatQnTNdixcNUeZIBxLrPVEE033YuiTQuWC2EsxXhqY+yygJD4S69qyWAuehXgnWa1gvxXlLrFl6XC1wlcA2wRXZZwKZBB6WjsNrbQu+8OdJ1cRBBu83SgTYKC023joyFhglODSW+cGcb5VrdobHXO73uNYfcrU3ZC8f8t6dfR7flXzIOG6WK14rTrmzPuV0vaBum/tP8reM/ujeJ5RSwf+kOXN09dB10BsJ4kSglLyndWCt5/YbS74R3ybOVzSRpC5qinXHcmbPFwUVCdbrLiguNt+5KhxVGdomk+2IR66NSLKYl14+5Zav0BEclXOst8Qq4hNPf4BvvvYaRRu4PKenAbQEgK+YTLPzRVJpRTa4kMlD4OQkvZQoXdF1ltUqGMcNRkFAYL09D5nvSccPPHTMcr3Nzx0LFouGSHh6AxPal8AjVyuyasn3Xu24NnL8lV9y53ECl1LLKHW8eqTxneO92w2vrHP2dvr86IePyCbhg6wTwbq+8YxHCS7S5L2Eh1XLrSymUJK2bs+rVmF2CraTCaNoiBKBC9U2jnrh6XY8znva1hLHgmSjIlERjPc02zsJcaxYLJtAAl/a88XfOWhqy3JzXpras5oblLII2VItffDKaQPQOTd93KgDo74IhGwXAkC71buYgCJUXHQuUGmQ9b/48pobt0u2d2J2xykPDXpcSVN6SnN5epnrVwZ8/MmOG/MDbi7n3D5ZsF7XfyBH2ryngtutul8t7+LYskwxGFwoqcrCsph3FAPDV9IXONo5pjQlnbGs1g3FylLNHflUolQ4r4tZdy6bPpN1CwnjSczVKyPyPOall08wdYWMYNWsg1uwjPjIY0/zzdduUNYty3moEEkVvJqyXKFSeQHGuGjTnA2lJJd2xqzymjtHC/CQporxOENrxayeM2OOBwaR5XsvLVi3cPtA0nQWY+xFmwi4vtcyjFqe6Ff8yKPwf/kXHbO5IcsVH7osmKSOk1oi8FwbdHxjobmyrfhjHylJN8pR7wO3J9YS7wxKZcRacLnXcKeMiCJF1bT08vStl+N81I0JXLeVP5+/gkBMzibB8E+ngvGeYrIdEyeSqrQcH4T29pnyS8rA50pTGUD+MmRXNXXoBlQLR1sEOoLr7i1cCgFRFuY8PlT43yn6421TS4bqpFBQLS03X1tzcFDy7eEB2zs5u9Mhl8e7PDS+xof2P8Az2xWLx5fcnh9z4/CAo8WSgzvFBXh+h/FgwGMB6/GNQEiBUB4dhcXCGHDIYKAWSZIsIoo9ZpP1Izx0pWG+XvGtxctEOzPypAc+pSvbsIPfpFnbTDBrHdYpVGzpWlAt7GYZl5KM/WnOs08/y2A4YjB5keKlb9Df6RFPc+50N8hqTWlX7AxSqC3zSGC7GmM9rTM4b0hrTdM26BhwAiljhAwpuTIO5VmVJ9j+gNN0RSkahBasjOXodI5erkmyHpPBgDv+CmtT86lrJd98dc7nbsXoxDLNg7eOQDDuw37suDoQ/PD7PT/z656vzkAllvftK6S2OOlJs5hMWBoneGJf8sieQ2cSnOSVO4blzPEf/Lhkb0/wD36740OXLR99wvL3DySInLIsKYo+1lhat6bfi8gSge8sJ8cL5suCsrG0VjJft0RbDp07BjnUwocqXiQZ78Bg6JCRpO4cqyIAzzPlk7OwOJVUS09Xe+p1AEEyCjycdgZuATQe4TZkuVwg+iCHoDMPOoAcf6bWFoAVwctHBg7G+R0UQTpQDLZ7xHmGRGGNpbNByjovam7Uhm8uGvbSOY8Ncp7e2ubydJdHJ9s8kT1GIRRvLGZ88/arvHpw893defcZ+SCY5J21OtIsgB0dKQb9mNmsPgctdekoV4a2PqJ+uCYbpFgpaBt7LhPXsSCOxbnXDmwWvc6ztRMz3Y65NOnxmUeeJclHbKff5Ld4mck0JRpl2BAxi/eGyVaCXwZpdtfZ83Jy21rKoqVrDEmukCpkaN27+w0tvGyQE8eLUF3zUJct1aJAakXay0DA11c9PrJK+NGnT/jqmzk3WwutZbLtzh8o+cBxfdhyfdfywx+v+NkvxnztRoeOJM9ddoHcLELlKo89jcx5erfl4Uc7zhz+X3tTcrIy/Mc/qrm+2/LXfy3hE/tL/vDTC/4fn7vMm9bRFPUF4PGBrP7t5Sshs6yqWM1LmspjK896aVguW/JcB38jBwsREs9Hk4jhMHhn1Y2l61q6u5Qg3oU4jvXSYltoKxfI/jK0rMqDiwyru4fOIZ2Ie6o7UgeO4wPjHkR43XAvZHAhws7bdKEd98brNUeHDTdGBdNxzNVhztMILvUm7E6vs7vzOM+5juPiiG8evMrrt28/cF6fH5uEunakTSDJv9PQKqhg7qlaiUCun520fKM5oO5a+r2gEDjL1kr6QYlkrefocJPDJC7ASN7XjMYxuzsDPvn4B8lUyjj5Nr/rXmYySYnjM8JhaFFt72asy7OA0I6uc+dViDhSNJ0hiYP0PczNDQnx/JgFvTwJFZHG0R9oqrplta7J0nhDTBa8MN/i2WnBH31owbdu5/zKVyr6lxOy6cUcyfuOQbTmypbhRz5R8/d+XXJy6ulax9PbfhP7A5OeZpo6PJIndwwPP9SdH9KrtxTHJx3/+z8peWgf/vbnJZ94ZMGnH1/x1//tHq9ax3JVhWPevKgyFV87eh4tNfNqwXJZB0+q2rOaGYbjYHcx3Y4xnUPF7twPSG9a9mkWFHRdu9mcEkD+ehUqcF3tadZB6JIOBc3aURy6+9YNBdDbkfeYBXrvqOYPrvoIgklkf0fRGwbQbbpQPe1ax8lxzelpzevJgtH4gGuX3+TJS9e5NrrCpf4+l/r7fODy08zrJS8evMqLb9x64Oc9EPBc8ZK6cqwqR7TZsVjtiWOBazzGezrnqergNisFWBFIy7EW6CwK0rZFw1F5wKg/RPV2sJ3F4RGpR08VJrbUDURxYIurTnClN+S9W5fJnSbKYGs04dHrT6OjmNvrI9pBRG80ZOk6vnbr97h5eAMjDZkymDimv7WFTAVeOByWRAtULInjBOMs89WabtUFjkMs0TIm0gJXeqrC0RmPlgnrtaW9uWA4yXhssMUg61GLhK+djvnB7ZJPP+r4jecrPvl4xv5uS9BIS2IlGceCPPKMdj3vfxRuFJ7vfVLxg89J4s7jtSbrJxRVReti3jcRDHKP0JKmlfybf+u51Ifv/6ijVTEfvuX4wWc8n/1CwZurHjpqKNcx67Khbh2zxZI8kWRJgbOKo9tLDg9XFLWjk7BuPVljwmeIYDeQJgIpQp5VWQRApqUkiaHRLqjwOpBaYo1geeppTgP5U2cQjTZ29wLwAukdaQoqFZgMbAY+FZiNgZuT/pzzJIQAIzaYyp97ryCCx8lwRzLdy8iGY6RKg/dOXbMs55T1mtIZGtOyKh1vNhUvzuc8fHTAM1ev8ORDT7G7dY3dyRaP7l/hYDV74I1wNuJY0XXuHslsFItz/xwIRNTlzNIfAr69UMwIQW+gEAjqyvLmwZph1ZLnUfDE2Hjt9Efhxnb2QlEhBFy6kvHM/oS+kERS0EuHpP0dPnj9/dxenkCiGGcjIhGx6tZ8bfZtRAyjUYilEFISJWGh994H6fiGa+KcY3b7BCEDoTVKInQS8pHauqWqzIbY6JnNKoyxDMc5aS9DC8UK+De3tvgzT93iDz3u+MIrkk89rtjauyBHSeWZ9FpiCf2x5z3XBK/OIz79WML3fKRBuLDJSadDOlviPDyxVZEMLjgjP/95weWe4Pu/u6FrJJ9+uOJHP1zxr35rhzed3Jz/FmcsQkrmBzOiJCJKI7zznN6Zc3RQ0ZbunDRcrDuiKMjUo0gwGAUrgK6zrIuOJAk2AWUZSNTFyp7PQ9MFgmt1GOTfOoV0O1SJhAI2gEeoTZI5EA/E21pZQkI6FSFS5F47m/OhEhjsSrb3IybjFCEDKC6KjtWqYzWz1KWjqYP542zV8uqs4PrpCU9feZiH958kSQdcGl1lb3iZ4qH1u5rzl65mNI3j+CC0B+4rxwKM9cxnHeNJkJYLAWkq6Q80beMoC8Prr8+ZbCWkSXROEtabuBapBPXGMdn7cE62d1Iee3SLLI2JtGYUD8h0xgevvpfD5Skqkmz3pkihaGzLS7OX6UwX/GC0YP9yvol9kLSdIYo0+qz14z3HsxVNGwDQmQOwUpKm6SjWIVw0isJrbx/MGfRTru1vc7l/iePqhF96c5s/++RtPvWw4bO/6/nEw5rt7QvUKiVcGraoWDIYOj76dMztQvKJJyJ+6BMGUcKs0eR5RueW1FbwxF5N0r9rzv+25+oYvv9jLdYIPnZ9zR/+YMF//+tbHFYhTb1uQjVY4Dk8WZGlMW0azAvvHM05PCipV5s5X3nqygXVlAjApqkDUOlah9oo7oSAXl8xnzlULOhtydBx8bA6slSzM7PUwD0Iyty75rTgfK5IzbnHz9lI+iJU/R9QdBEqAKX9awlJGrhSnbFY4zg9bikLi3eh6lTXFacnt3jt5glXLr3Ce64+yiOTa6Q6ZSefsvXwhGevPv3Auf5AwLMrLCvngnOxh8iAi8FGoHRYTBrA1h5bGNpaIPug+oJeP2EyuYTPW4rX7oTgPNEiWdI5h1PBb8YPHZXdVIuEh06wKxOeHm1zJRuzqipuHB8zPrjD9vgSidaMs5ybyxknJ3OkVpi65Wi5oDAlddPSJj0G6Yjx7hCdKLzwSCz9OGGQ9uglOdbB7cMDyqZj7RqsCxEOqgw7sSSOIFJ4L2lqj/IRedYnixIq6zhVO7i+4xPvO+bhX7Nc2+5Ihw5Vhwe4EoJLY8m0Dzqvec/jMa+4lL/4Iy2Pbtec3BB0SwHpAGNbrBM8PGyQm2rxrTuSX/8tw09+r2Q0tVjb4099qubrXyv5veMMegkjkdC2jqoK4XPLY8NxWTDopzhrOT6oOD20VOsQZSGcwLdgG4GIPFiB70Kpfl5DuQw/701SeqnGdCW2NbgOolSTxTGqqhA42tbjBLhkU37PgMYz7Ut2R5JaWBYa1spjpTgvrzsbhGFeg08A6YPzpBHhT0BIgYo8Qht0tiQfQpwMaOsYt/BErUQJiRQOL6BTGmTETWO5c3LCa92Cl9pDnm4e5qHdh5j0dnhqePmBN8LZ2NrKOD6u6Lp7mXdpHsA/m/JvXYRW4XDiiZIgSx2PE0bTHsWy5uiwDDerbzavCe8Tp6E6ZG0w14o3LYQ01Ty8O+CZvM9RW/P8fMlgcYcn+lukUc44y7m9WnJcnvB18QLLbsVJsWS1DDyZNNXs7A+YXtq6t9a9GVJJBtMhi6M5nXGs5iVVZYhjhTGOpjEbOW8gJq7XHeOpINcpT48e5/n5t/mOEVR5yqc/UvN3fifi6pZFJ/cqmvYnsDW2COV57yMR32nG/K9+4pjLlzqW3wmldeMVRavplOCRS9W5iczBgeLnv2D46e9J6Q0aTOL5yR8ueOErfX5nPkBEguHOmPnBKaaz6FiwmJXUVUe/H2OM4+SoZrbh0/iN2aBzsFq1pKnG+yALrosg9y9WFh2FuII8D//ebAJN41SS5cGaQCgPZkN0roIPT9QT2GbjYrsn6cwZMe3+Q+rgsF2feNxbSfQiACWpAulY6WApIKUgz6EsDUkmaCo2fC+AECT7zbLjtfnzPLk64Ind61wZP0SWDBgkw3c155UW5FphbcR6aRgMNctF9zZ5Pj60OOrKEkWS7b2Qx/TYYxPKsuXG6ytWS0OvH3yf7n7Q6Y1vy93fdzSOePSRKYN+Stta3rh1ym5yiye2HiVWMaN+j9snp9xa3UEJxapdc7g6pW0DaTmKJdNxys7WgAuUtuGvyGDFMOhlrIsZ66I++9gQ8bA5piy/kPB7Agdyr7fLQ8NrlKbkuBHU/Tnf/VzN9d9IeXinRkf3zvmtkWB/EqqUT16LeGqW8R/9xCnXrxhOvyNpjiWNFZw2msZJHt5rzu/Rw+OIX/4S/PnvU+T9DtvCT3zPii98Lef3DkPA5+7WkDfvnAZApzWrdcXR8Yok1TgXcroWx4Z6sQlPlsE48txTyV2Aq+PD5hwITbZi+gNNUzuq0pJu5OpChvaXkP68TVsvHMPLEhUHmkPcE+RTcb5x8/Y+fLV3IYyVOvANlRZEWnH10pTD4yXrsg6qq+KuddiHiufpScN8dsjpfM2Ny2/y1P6j7Pd2SXVKP+o98PMeCHiKnqAzGu0kQyXJZIvB0m1Mk9o2JI9bC52BznlSDXkPsjxme7hF2yxokmDxrhMQuqE1LSIDORAYFfglEoc0kDawJTxRUbK0x9yYzfjGwZwbJyWn84KtccZWNqBsGo5eeYOTWwd0lWV555T1cYlxgraqMMkKGSuG0wFpL0JKBRqs6EiyhB2xFSy7FzN8LXFtwekR7GvLD74v5msngmMfUdoguW87g/AO5SMyVXN5LNm6/gh9Sp57bM6yTkB4vLD4JYhhx8ef8kTaIZRkf19xfT1ivHUCmSAfelY3BbFpGESOXDsuj0yYQF7xwnc8mXR8+uOCKFVEYk09N3zxpYRO7TDtaUokxaqlbVqyKEOYiNVhh1hKuqalnFm6ucDXEoFDV4Lu1FE5gZdQFVAtPabytFJQ6qCY0loz2dvB2BPKcolOHdlAMU0zelLTujVzZTnd+CzIzBOlkE/gah7TjzwnuBDIasA4j+jCHeBt4Px4tSnnCMIu+S7DQJVBOgp/Rn1LOqyIIkfbhkyqruqwdRsIqBEo1bHTj4gjRas1VaJ4ya85Pvwm36lf49p4mytbV3//u49QGen3I9o2RD5UlQkZUkm4Me1dkmVrPPMTy2hLkWaC3iBlsj9FqgWzWUXbhMVmtW7pTFCE5IOwKlSFQ+twTiAoOjpjuV1XfPVoxiuvFRwcfpXPPLvkapxwKU2ouozDm4ccyhO61jA7LpkdtxjriaJgJBmnMb1x7x6uztmI84Tx/pRitkY3HdLByaJmksd87zNjnp8b1u1GDl50IU4EyTQes6Uzrskl011Jnlg+eLXPvL23PyOADz9tSKJAfr521bN7lDMcBvO/ZAJ3vpUwkoZh0pFKx+Xt9nxdfOFliRaC7/uQQehgNtqdCH791THFhpcRZzFpL6NelfS3hiEk9LilroN8fX5iaDbBjEKFtkextPRGiq7tKFeWcuVwHXRVIFwL4UgSxd5ehrUeHVtMF/K1BiNNf6iZ9zuWh5bqZKNmzAW6B3kkmOwp0l5wfV4v7lJ53WeoCLItQXU36NmAnSgPDslJrIjTmDhLWM9WrFYtbR3eG8IDW8lgcRBFchPOKDlcLplV32JreYdrk30u5Xvvas6fjcFQ09sY10kpOD7agHUbSNRdGdrX/f0Q6Gs6Rz9P2d0aMtMFaVbSNkHWryNxzqdQOvz+3aTW4M0UWkmRVrxxe86NV9Yc3Poqyw8VjPs9hr0eRdnw+q0jjk6XVHXH0VHB7DioHaM4HGekFaON+d/ZkEKSRznWO67sT5ktCtrW4J1jXbbkacQnH0t4/raj6jxtZzY8xY7OGgSCnWzC1b5nZ/cmeWJ49pEeh+XZgnUxPv5MR7zJO3x033H5zZTJ2G9alJ76JUmuHf3IkmvH3vTi9d94xaMjyQ98MGRp6cxTLQS/+eoQs7HS0FoxHvZYFzVbkwFKKo7uFIymjnJtKZaW9V3+NG0RSLzWhGOoC0tTeKpTh4wEUeo2JoWOeKQZTaIg9nHBCXuyFdO1jlnWsTiwNOtQ3cSHakyz9kyvhJZZsTZvq/ycDdsFECTcfQuG6BgGe4HbqWSwGBAi5BJ2rQsGhncNKWH3UnrOMxMK3jw8YVWVXN3bZppO2ct3HjjHHwh4XmgtWgoi6UkURDa4EgsnNnk0Ae0550EGhbFzG8lZ17BaHKCKjmGcogctne5wGrooxMGLNHCBTAuJEsQCegZc03GwOqFzpyw7iy09r8xnzNZf4iNPXePT7/kgj+8+wW9960t888VXWRw3VEvoSoGWHtF2rJMlzjuqtmU87ZH3Y6wV1FVLqitiFTPs50zymg/v1jw29vzNf+JYzuCPfVjzfYNL/JMXLC+dNNy5s8JbS4dDCfjA/gkf3z9ke7yN9h0feVzylUOH9w4Sj595ZNLy8Fawz5dIJmPLVlySxxYZg8o9p5Xi/Xsdl4bw2NqyP9ycUxQ33nT8wMckjz5mUTIsGLduKw7dgKaqkAwwK0tkoGorTBrRy3MWTuGKlrjzsAa/8vgqkIW9lHQiKJZaC+sS2jYAEKU2aNuA60BJTaJTIr3CRIIkg61xxvU8xwvBTbdGzA2t3iivEkhTyDSoWBFrUFhEE4Csx4PYGBb6cBM4CxhABSdpZJhXwx3oTyXZSNAbafJhikSzcAXrZcF6ZjBdsEFQArKeYzz15H2JjzNcFDwdOuU4lBVldYM3Dw/5Cw+8FcJ440aBjsJOO4kvsoCCgdzbf9+7YIHuU2iqjuXxgrYMiikpO9rWYkwIj816wfo8lJ0dsncBSura8PrRmpe7FXUdiPevHqxZLF7go+/d4vuf/hiPXEr5tW/9Dl975Q6nh925y6mMAvcjShqcO2a6XTHZGxPdJWM9G1EScXl/xPfuzXls1PBf/kLM6Rr+zIdL1knGP3xhmzfmDYdvzu7GoHz/IyWffOIlsrFDKM8nn7R87djfvakG4MrVi8V8mFguJy15EnZpegiHXcTHLi8Y5Yb35hVbkwsPkO/cVPz4RyXXH63O3/LOrYTXi4jG1ER5gmkNztqQLu4c/VGGPihDobAh8A6W4bi83bgj42g2Yar1PMi//YZnlk4FOvV0XVBvZakmzTraOgSybm/n9CLNatzyerzm2JvzMFYhIB9J0s11zHoSIQTLmbn/Cr8ZMoJsW9CVYEqPzgTDfUlvpMgyRd6LGe6MEFKyPF2xXhrmJ/YcSCkNcSoZDGK0liR5StJLzq9Fq+GmOeXN5ek7H8RdY3YSSNlxHFQ9wgXgf1YzkSpEEzSrs/tXbFqCns5YTmZrqrplOApy85AzJy8IySL87t3DOx9c3JsVN82SYm1oSsdLry45Pfo6H/zoHn/oPd/Ne7ckn3vxd/jmS7eZn3SUp8GUTyro7UpOjhqkWlBUDTvTAfGGu9Pajs4uwpyPNFd3h3ziWsGT2yv+7z8vuH3a8ueea1l9ZMDPfn3KjZM1d44WGOtw3gKeD1y9xSee/A75qENKz2ee6Hj+1ts115f3Lx7MvcwySQ1pHNBH3Ic7dcynHl6yP+54Zqdkd+vi91++I/mxj2iuXavOf3bjVsxry1CllxtRRBQpZouCyahPnodW9HLWEccqkObvwgbtOpCXnbPYxrM+CnlVHqD1tEWwmNm6FK5JFG+ictoQyDscBpXYeFLwRrrm+DWDijfPhzgQk5MsRIQIGVyx77c2xj1BlKl7wLJtL8wRB/uKwUTRH2qyNGZr0j9XZs5PO7omRMac5aJFiSSKJZNRTpaGuJOQ8ybpnOGgPOSoOnrgXH8g4Llz6kIQG4A0ZBvP4k54nBYo5bHS40UgnqrA/8N1nsVpS1scMFpoBi6h30tYUFHR0WIhBiuhrTemWd6jLLgK1rVn1XQYFypFD01jonXF4arm5aMTPuRKHupf4rnHnyVL+nz9q9/hxsmczgRSpCxBLTu6vGKlLKZtGI5z8jxBK0kpS1KdkUnLRx+y/NmP1mQpRLXiP/2rhl/7Wsmf/9On9MeX+dnnNSpTiMqTCsVOVvGZ68fsjmc4lgg6nn0/vPCrYLxERw6hHL4BmQjOlo1LmeF9SUmqDMJ6vJUo73j/bsNIRXzgiidJW0gEnUtIfcnHPybpDSEkuBkyLfmh93t+95szPv/tluW6wdiILs2J4hWjseeh92u+/2lLVUn+X/9tx6IF0QqcdxQLg7EgO0HrPV0XAvwAvBdIH1ZM24XSvGRjciVDSzCJYahyRK9j1W8oOk8jBK23GC2RylMLT5c6fE+hcMQd6CbMC61DgKUggB1jwk3gu6BysSWkqWf3qiIfaaLckw80cayD8WLVBS+VdWgHyQ6Et0RjgdclKpPo1ILyGJ/ghELFMcSO8q164XcYp0fBd0JsnKjjRCJkqMjcT3YpZJCoe+85PS2ZzWrAE8eKySRlNqtp26DOOnPf7ZqgXDojGHsX+BGzo5CmPpoqpnuadWpZLTtevLXio0927Peu8F2PPUuW9PiCucFrx+uNh0twQi/Xjiju8EdrvLX0JwOyYX6PnBXgY/stP/H9x8jI85dEwv/ybxj+9Qs9/uJPLRiPPH/nd/fRkcaa4Gbci1d86tnX6PU3/AvgufdWfP2zPaxp0PHFeblbEbM/bvnQtEBtWgBCgRLw3OWCQc/yUbUk2rzWO+jHmh/+eEO8iQHxHnqJ4cefOeHzLxt+9UbMelnhXdgVR6crhsOMjz2a8cffC0Wj+M/+8TrE0WwOtF0GonDUD4ttt+YcjHgD9YknHgrMVgBEUp1lcIXdaZREfGA05g21ZrnVbjg0Yct6j6NxoPWQ5gLQ1JVDqdA2kXephkwXZO/ObUKMB6Gqs70fMxjERFqSDXNUpGnKhqrsqMowf2wdwJIV4XwF7lxw146z5G0thHcr0lrOzEXy+oaXcZbRdDaiTNCuPf0deZ5vVK4NSSJZzOchEDdXDEZ6E7fizg0c77dZcA7mJxfgOM0Vlx5KOdINy2PDG28uWD665PLgEt/12HP0kh5f+b0bvHp7hbNh/ajnnjgL7S2oaZqO7emA/oacf/dHfvyK56e+/wgde/4DF/EX/t+WX/x2xl/4sVOGPcHf+e1ttFJYZ/FAL1nxyWdfIu9f9B4/+kzDN24lGNPe29a6a1yadHzoyprobM7rwFt79pGSYez4ZLQ6f613EIuIP/RcQ5xevN8kN/zkB5b89ndafvPViPmi2nDyBPNFwXiQ8plnB/zhp1oWleT/+k8dSy7IxN7D+sCh09ByvR+Hxrahdctk0+bb/FxpQZbGTEY9lBQs5g3Npbe/QV05BsPQFnPWhzT7M/6lDGo4KUOFVUUh2JON/L1ZhYiLvWtJiMIQgu3pACklXWeoNxE0xZGjKYIzdDqWJLFEivDeg1563yq2e0BLGX6/aIm1II09QymwzlN4j3VQS7CJRKiwA3aAF2ck1FCxKSwsjzrKpcOlEbEQNHgWpqPwDgahdW+MQHtPKmRAo43AtZ7Y+HDDSkksFHv9nGpdcDhb8YXXvoHQMY8//B4++J6P85GnX+Af/PNf4Pe+eRPThYusFo4k79CJxmvLYr6mbmryLCWLJbVpkJGnLStU7FCZ5WMfF/wv/kzEZOo4Lta899IaHe2Qf1twc1mH1k6yYBwdBcm0MQjheOghxSP7ms5a0tQh0iCVdElgvyMk41jx3r4BLXE4Uuf5+L4hMwKL5HLeBRM7FUFV88Se5eFHDCqKAIcUnu2pZ3q54N98zvLil5d0xuNVib4aCHN/5EOO73vUktDhWsWwF/Of/pWGN26CNxsDwBKE9VglsBvazNna5jfT3pqwGxAixFVoIZHOUXYFKx9BZ6iMCVUbE8p6MhEILWgjwe7WFgwj6u4U39bQeqSypFlwY5ZS4jpo2sAFMi00a0kXCcZTx3QvIekpVCbIshQpJFXRUCxamiIoY9wGIIkW3MRhbEPrANegRI11GY6MjiQEi/h3B3jw4AgSUWs85fr3cdEi5BlJFXK1lqct3sNgHCS3bRsSvcuVozcMFZ6mdiHXLBNUhaNYhgXF2UBqPpMm98cK03mODmt+4+Wv8xkh2Z1c53vGl/nAQyf848/9W77y2weYEpq5R0WOvC/J86CgW89W1OuKbJhvJOnh+jZdg1Bhl/zRD7f8x4cJV0Yd5bHg6acW/LSI+O+++jA3qyW1a1jYV0nTiyBUAexfNzxz1WDdOy8ivb7lyavFOUdHRZ7vvTZnUHc0jWA8as8BkrOCj+wb9q7d+/CdbBs+fnnBz30p5YWvnZy3FMfbml6q+fGnDN//h1ti5zAIsjzjf/PXPMeH5vx62iYs8PerungbQNHdEm7nIEpCFaMqGr6lViyrmqq09wC6s7aXELC1MyBJNbPjNUIY0lycV03SZONK7II8vm3dhgfmKFaO0ZZmOk3RWhKnMf1JMFVsipr1qqOpwpyvT0KLIpkEjoY1IdbmjLiNgGyQnyvYnH13kGd529HfE6hInAOdrvKYBtJhAP8q5t4nIyF0tGnqjWkdTPdCcGVZWFaL7vxB+27k8VIEafzu1QRUw+lpxe+++jzf/bhmN9/hM49/hPdeeoJ/rH6d5794HNLjy1DJWEQdSRrIrneOFmSriq1JnzyNzxF4Y0qUCmrQj37Q8J/8ZMTlsaWeCZ5+8oSfjiT/5IuP89r8gM61JLogTe8lWu3tG56+lISNyju0cfq543075fl5UtrzA4/OSeaWLoLL04v3dEbwsX3D/hV7EYYGDAeOT37glJ/7nYjnv7LEdOFene7H5FnNn3yv5QefqYhxeAnTYc5f+qslp8cXANJvruE7jrcA2rNhTXBubpqOxaqi2ahL75734f09g35KkgQCdFlsKtlKkGRB9Sw2wNwYR9d6qiqAUxV5BiPNaBSqNMNBRp6FanRZNZRFsFNpy00y/MxjWkd/GJ5Lp/OCrrPsbA3PxRlvVZ++03gg4Nna04yzhFHr6BrDTWOYlQ7pJKIVdCJIJz0OZwS2DjtV4QQ6D9yNRWVRtiIxksJbFp2n1pD0NqVTC4kUCBt2vFKEilFnoDZQiJayB7GC66Mec9fyjRt3iPOXuHb9ER7a22dvuk9ZO45Pf5aDOzMcnq5wrA9atIQIj3Qa6wyVsZAmpMqxaCxfPFzzx5+zPJpBP1f85E90CBzGJXSu4/3XKlQy5Re/DXMX03mD0wrExoTABln+eGCoK8+gL2CjDgt5VSKQphUMJ0HSKq3HS8kjO5bVWiDjIeMUbGEQfUeqPE8+6hmMEoQBCMBJScPrb0i+fBtOFgbfSlCe7UnJjz7d8iNPV2gbQvoGlyzvTSFNNE51od0mBEIJhN8QOiWcbU292JQ8hdyg5ADalJLIFtrGcrJek+ARVcudVcdqDVoFU62uCDcfkSJNh8RpzqmoibQizTWomqjXkvUEWmlMKylrQ1U7usZRS2iUYbIrGU5TdCqRcaiwOBsW13Id+tQ6AWEEXbUxMGw8wnmkE2AczpV4Z4K3j5BYQyAPv4sxGGv6A43U4TsvZzbshN5heOdZnhr6I0U+kFgb2lXWeOqeo639uXHb2ebDmkBellLQbCoBQgpaG3b+yxNLvom22LuSsF4Zvv3SEWn2Aj803CfWCdPhDn/i05/k8OQXefM7ZUgv7ggEWxHMB/v9CO87zPGSbuNd09Ydv32n5k99RLN7xRClnp/8E/Xmu4SqxlNPH/NnkwH/3efHGJGTS/G27y21Z2scKolJen9QqKRnOr7g6AgBDz1aUWwcAga79vwzlfZcvtoQj/w9XTLv4c2bEV99w7M6sucEyd7A82NPOf7Is3OE8cRTSHcc35119HPJ8dsu1O9/7SFwS6JI0MoAGmezUFEqyo7Tw47ixKHzAEjrIizk462gthyMMrzp6PUinA8y7kDIVOhI09Xtxv3dU1UdSoXE9+lWwnDaJ84T4jQOO1fvqYqGauO+rWKIhoJ2HnLv/F2n3HtPW4cHqW0NcZYglaSYvzuV1u6jmryvz71ZVosO0wQA7sMCf/5fNfPo5EKF5mxYS6qZY647losumBVuksDj3u/DXPVnjrsmtGWEZzjRdK3jhW8dMshe5HsemxBJzXZvzI997yc4Pf0V3ny5DBLqA4c3ECct460YKT1l1VDXLVvTAXka07SGz69b/uRCsb1tiRLPv/Mj7ebcbeb8Y0f8Sd3jX/7uFTQjxFuTMwnVte2RoWwk8TvMeSk9k+ld/ybgyn7H8mYAAHdzalXkuXq5JZ28pd3n4eWbMV96XbC4Y+mqUCXpDSw/+qTjR94/RwFRz9Pb83w4bUkenJn59tPuuGiDCc4zxorCsFg0WHtCVRnmh4b1kQupC1oQZeFP7yFLYwaDhOW6pjcIXCrrHALBoB8iP6o6uFtHsSfvK9Yrw2rRMZrE7GwNGfTSu9CUZ102rFdh05ONBeVpqA6ayp9bRnjvWa0riipwzLanA8ajB5OVz8YDAc/T77/CIBvQnJYcH82QyxWydgyQaKWCyZ8Ld4Kz0DYSvyGgSi2Y9DRDmdGWhnlTUSOCsseJEEG1URuYTlBvWiqJAB9BqaCoPeXMclQ0XBkrnh5MmQrP680xr9++ye+99GWGUcb29HGuXH6cj3/0WX79N36XYllhvMeuPEvfokRHpnQAUQtBLSJM5alnhpdXll+5Lrj2UxKdGXQebnBFTewLvPW89zJIPeRzL7ZcTmd44RBY/AasiwS0iJidtmxvS7xyiLM5vPHl6daWKA83BB6IHP2BxBmBS4ckkcHWDdq24CSjLUG3cMQYXA9oPXUl+OdfgpmLyHcd7alAp5o//jHFn/1US+YdJILRlqNVgudfFpwai5fhnILHqwB0nPRvK4EHqWmo8ygRgvJ0FGGKhqYDX7QceouoPKvWs65A4FA67AyEkFhteO3oDtmqT5O0ZAPJ9XwPrQV17xQX1yAtWgZlnhehzeEaS6wEg3FM2o/RcVC1CKXoGk9TWIT3jEaCrhasjcesBFIE0CVlKOm6c+KJQYuaSOQo//uXOs/n/Ae26Y97rOdrjg9W1JWj2bTXhRD3yNXvHuXKEaeC0VThXdjlrudnPasLsBPmewA2ZyGQSgmijZlZu4Bi7Viljq3rmktP9xiNPcfHFa/cOOTb42/xnkvPoHTM7miXT3/X0/xy+zzrVfD1CERqs/E5uWgpRKuGpplRLA1N4fjs4yl/9icMUl6oKy5UFp6nH36N/4m+zL/98uM8PnwF8RbEIASYRLBYhbyy+w1bg0rvfV089HTjEMSpM099LEh3w1zML3nMWhCP/fmOt14KfubXcuZdyXBPUSwsUST4E89G/OT3V0SbzUS6Gz7nSy9L5uZd5ojcZygVMrGaKsxrenB8UtG1jnrlaOaedhUKsUJDMoblzHL7xox5vsJ0luEwYefKFloruqYjSiOU1qxnK8pFQRQJIh0UllI6ev2YbNi7JxfMWUddtUgtGE40demwraPdtNqkerv0/fzCnP31XX7n971/l0E/ZbGqOD5ZUawN2fjiHbzbxMT4UFVZHzjSsSDatGiTTDJ5Ogop8+YiLBL/+wMeZ2F9GDYyxVHL9CHN7n6M957DOw2v3jrgyvg1nth+BC0Ue4MtvvdTT/EL1fOc3g7gqjhxyLhDKsF4GkovxjjuHCxoakexMjRrx2efjPmpP24v5NR3nS4hPE899BqZMnz+997H/vj1+x6vEYrZwjIe3f/7mFog3wI+kpEnK0OVLO6HAFmdhWMYXPW0K0EyvFiP60LwT353QO1WDPYl1dyR5JI/9qGMP/9HavTGJLC3F17zpRc1xR90zssA2uNIY6wjyxV1FTYgJ4fNJtfMUK8c3cYFGTbcqR1JMoAbN2aMJjHOOZQKER56Y4OhlAQCEbluOqoNIM/yELzcy2P6eXLPfHUubASsCYbB2URiTTAQDZuii9/1BDXpu53jZ+OBgEcPFfEgo7KGYm7ojGGAIPEhHTyVYFq3ITeGtlc/j9HaoaxjZ9hn0s+YrdesSkEaC0a5Z9WBSwWt36i7ajDeE+ngtts4h0kExkv82tGWnpn2nPZrelozcBozK/itL3yR23cO+Oj7PsP7nvokP/UTP83+/iV+5h/9S2bzIpTthSOKFVHcYn1onawXDfVMsL7tUY3i7/0Dz2c+JnnyGQ0qINTQ0K9BClT3Bu/d7bOleuzYG2gZoLH3ICwI7+j1Bd+5LXniySiQcG0DPobWgPL41pNnodqDFBA5Iu3pO4mNerj6CCEsUoKXDp2ltLXFxxaJwBnPq0eKbxx6RGRJh4JeovlTn4r4Cz9mmOaB5JXvS0wsuXEr4p/+qqW0QLrZM7tALD8rTXsh2OzhQtgc4cbHh1alVoo0jtEqwuOwnaV0FnXmRIugaSHqQsGL2ONzx6qq6QhOveQdi27NntghN9uUaonzJVAhhAsAS4bSf5RKev2EJInwMnh4CPQmxbtlMFDE44hi6WirjiZyjIYJO+M+aVziqAKhXoQKlbcdzjREkSJJHpyiezaSNCLJ0/CZZnnuvQNnxGveVi2IU4l3Aczs7KYkseJ01nAq2qBOSiVN5UjS0CZzmz7iOSAxF+6oUS8ABVPC8tByslOT5xohoCxbfvVrX+X27JCPP/YhRr0tPv3Ux5noHv/ol36Hk5stOhOkoxBmmaaaprHUTcdqGYJIizsO28Jf+9mO7/6g5pEnzH0XDSkdj1x7k53BAb3hhTHgPd9bOb75asT16/d/D1MJ4tG9J0vGkO14dB+6JedCPTYP8vM/CffXjcOY3z0I1bDeUJImgj/5oYj/9U8aBlNHc3oBmA5uKf7bXyFwbP4AIygjgyOzkpIkUSS5PefeeO9pm/AZQgTujzHhWFUMQgYPGrPJL1NS0luVjHYnqFifq4fuUW+J4PArpSbvZ/eAHYC26WhqQxxLhkNFsTZ0TYdQnt5UsrObEum3XxRnHeWiIBvm9KeDd/X9k0QTaUWWRqHd9hau2tluu6s2G9sqcHmkCivldDsmSSVxLJmdtMhNJEfTOKy5kKd3lQ+c0OguUKYCv6OeB+Lt+thS7VmSNAQ9LxcNv/GNr3Nz74BPPPYsw7jPJx77AMN4wD/8V7/Dya3m7HSeG+pBMFI8PW7pasfylsMZ+Gv/WPGZDymuXrt/dUYIz0NX32A6vE2/b+4755PU8p03NY9cv7+ZkqkCwLl7qBh6+x6dBlsD1wnIzohk3Ev89/DGccwXXwuRLHEqyS4JfuK7I/7DH6vpDRz1TJyDnTuHMX//18Jz+A80HDjjybKYpukCV3HD3XIuuGGfH9/dL9twp5KeYDYL19oDvT4sViW7W8P79L/uOhcb24XJ6O1K0uA15NjeS1Baspi1dFVHs/TkU8l05+1lLA+sy5o40qEt9tbPfst4IOA5KW4zq1Y0C0NVFSQSfCqojQ03eiKQ0uMbQkXDe9KeZjiJiTKIkhgvU9Jxw8Qk+MiS9RxTqShbz9GxoTThBnJe4NOLdFcfe1CQIJErD7Xh9vGcXqLIU8/lLKVeG1746ov0k30+/Oz38N6HP8z+7hVm8wU/+48+i+scac+RTQX9bUlsHVHkqCOJM4648Ni14dU7mv/mn8L/7pJntCUQCJwzCOUQXmC8pavWXJ4OMbVAbAhiAnBtMNu7vOP57BcceIGQCUK14M+4MAKtQ9mes9dJELFHdwLVrWjqJuyqJCAl5VoQ9Rw+8kgH1kh+99uGeT0gzhxbOxX/3icUP/5dLdOxpSs8yZ7AJprX7sT8F3+74ze+0FKsBN5fECvPkoFDpfpiJkp/hoI2vX/vyFTETq9HVxiWdYV1lgZPX8MwE1B7io2BoNOgsgidKZyEznfgHc5Z5m6JKhViTYia6Oc46eg6S9carAmLW55q0jQOHB8RzoMzgrrs0MIxGCdEUYQQHatFR9eX7Gz3GPfHCC1pRUdw+QmYsq0N5WrJuJ/ST99dj7dYFFRFw3JR0baW3lCymgVAkqRhUajLexeXNFMMRoo0C8BKSsF4HBNvSHZ5HoUQxTaETEopwg4YzhU/59dBQ7olqE+DffvBGw06ahmMFVvbKVVl+PK3XmfUm/Lxx7ZQQvKBx97H6brhH7/5BUzlSfYVg2FMmmriWKG1pKktXdPQDT3tyvP6acf/51/k/OX/mSPrv32x9D6IDwaT7m0/Z9MGuLJt+MYr8duUWmdDJaENcPcQAqJBeJ9zsLIZpgSV3bU6OvjNlyPWrSXPI7Rz/Lnvk/zEd7eMdj3tTJCdgZ3bmv/D35L85hdr6vm77F+dfScXSPAQWr7DcUrbOerKYm1QMEaxIB/JEGa8vLh2USrI+/Ke3aexIch1dvskVPAiTW/UwzT3PkR6eRQS4wf5246pKWrSRNHrRaFtLBrWPUs39UwvR/T69yeReO9ZHC9pyprp5e139f1vHczP080Xs/a+ihudBq+h9Z3Qqk8zxXgnQmsRAlp7KZGuN/dIqD5JERRGx0cN5dKwuhNcuQeXQhI3hPmQb0mk9pQnIbbg4GZDnAezwuE4omstX/y91xhlAz728AdQQvK+64+y+J6Kf/gzXwyCgJ4k74WbSQB5rmA7ZnbSEvdDBMhrtzv+n/8i5//40440v/8c8c4zGL2DMyRwZWr55RvvQOAhGFOqtz6XRfg5QHUiyLcvPrtdi3uqoN7D517SnK5ahISr+zH/7icUP/HdNcM9TzPfvF7AG3c0//nfjfjNz6+oFn+wOQ9BOeesZzjI8B6KtWG9vPe7p2MRnPQ3Gz8hNlU7Ge6b+awlzVQwMFyGwFUpAvG5nyfhXujufc9Iq41r9L2jqls8frOGSgajiPXCEuWe7Ssxk0mOVpL5sjxXESIERdlQVS3b0wGT+4QK3z0eCHiUdsznJ9SLQL40HsQG6KA9OvYkdtOi8h7bCo4OSuq6Zbyn8L5iLhd0ziOUCw6YOmI0zBlJhxY17WnD3FpcB0YIKq9AOLQOGU/KOYYoRjZsodvGkktJVrQMVZAofucbL/DaJ17k4WtPsL/zCD/0g/8Ov/5rX+ONm7cRkUcmFhIYJpLpWGLajtOhZJZLqiNPWXp++QuGZ34p4k//sRCuJiCQBUSNjhKauaArj9EIXN8jY4ETHt8GSfXu2BILjfEe5Tc1ImHCxCDwAnwQWyEFCKHDsSmJXx8jnUFvJhJO4VpHOvYIFRRAPhbMy0BifWTa8ac+LfnM047BloHCIacRNkr44rc1//1nU37xS3Nmh+BqgScEgDo4J8R6OH9QiU0XyBqPl9A1DtcahoMeOopo1oaqaWldh4glce4ZW0nfCtaxo5YCvT0g2p9Qq5bOrPDCIKRDekEnDHMWiMIhloq4yYkHfYTXdO0C23UoJHESEcVROCwlcT5EJLRVTaI1vTwmzhRoR9MEFVg20sRRiulqZCQRym58GgTeCaqiZZhEdM27K36GUvqKpjE0lWe9DAAq3UjKo1jQtf4eP57FaUddWUZTRb2x0z8P8NQKDwwnoccs5YrVwlIvLLb2pNN7WxNCCqT2ZDsbdY8IFYusC34reaYp1oYvPf8d3n/lSfJ0gBCST7zn/fzWlZe48dopSkO0KS1HiaY3ymmrEK+Q5TXLuaGpHT//tY73/1LKn/7R6u2qE8F5DMJbF3C/qcpsTxy5ivGuvO9uWOdvb5ueDVuFBVNfJETgjCAaXhyH8zDfHMNDY8Wf+7TiI+9r6F32mGJTPVLwzRcz/vYv9/jVr52wuGXf0cn4HYcPxHPrPFs7401Fx1CuK7rGkQ/CtR9OgyqrmLsNMV0x3o4w1p5LsIFzp9+u6ehaS2cqmqIOG59YU64biqILO91pTpTe+wB11tJWDUkalucoiRjiaXeCV0tvqJBK3p+U7KEoOqJE07XvLjFXikAWLVbm/tWxTVUzzgXDy5LVHcfByx1N49i+FCr680UwsvQ+uC9LIbm0N0IgkHLGm02JkA7bQb30ZOOLSo8QkI4EUSaROqjkrA1WAc6GaqVznq+++FqY81GKQPCRp57k8w+9zGuvnAZ1nQibr53pAK0VddOR5wVZ3rCeB5+mn/+y4enrKX/uj1Rv22zAxtok8/f9N4CdiUOKGOcq7seT1e8ApCCokb2593464yTe/f8nKwNCcGWk+feeM3zq/Q2DS6GNlU7CnH/h5ZS/+W/6/MoXT1ge2PuC1AeNs/W+bQ2X98b0spS6DrlZZ2tbnEiigUQqQ1sEJe1oTzPZDUq82XGLNT4YBLIB28sgbpgvS7IkYnd7RD9PWK0vwmyzzab2nnPj3Lk55HCQszXp88btU6Y7FoSnN1RMRz2W6+quDUNKnsccnaxw3tO05p64nvuNB6elmwwvOox0lAZMI+jlgl7PI6XHyNDSaTuPjQTKBelkWRjyLgCAM4mZ8EHGXi4F1aqj14/IE8Glq4JMSlbH0DQe09pQJtMSoT1RArnz5K1HO8lJDYvOc6szDLVDNoL5m0f8yud+jiiLuXL5KdrWsb2/w8HRbTojGMSSvaGgVnBtAu/fTrgzMzz/MrzyiuDOtyWnlePv/GvL1jTih78v3jwwGoQ3eAT5JKM6lES4EIdgPDIOCe9YR5Y2PHctRrYKl3mEEQjtQW98bXKNOTJEMbgeeGehkoi2w5uGJBOIzIX6ROXp9TpEFAjcQkkkEmMFT/db/tx3Wd5z2dKf+CAn3xbUMuGf/6rn7/6qoJE5aVzhqfGbliNOBFdjTQjpPNfm3s0vCSXrrnbYzpPqFG0MidbEOqGu2hCoGDl84hn0JUk/w0wmiN092jzBVHOaooauQXmLRyCloxMWEg9Lgz0xCNsnHgzItGbdLDGuAuFCFIh0CCnwFqpVTVc2+M7hvMQrgep19HYtVnsMBUWXYWwTdgdDgdwQxnUMw6lERHDn1rvvcZ9VRct1OA+9oaI3vLhB84FkNbP3/H7bOIyRwQyRi3YVBAJxUXQMBglZprl8NSNJGpYn5p4HJQQwan2Q8EdxMOVazyzLE4uzNUkezA9v3Frwu9/+Kp9878fROiKOIq4+Mub28QzTehKp2OtF1HnOw5OIj2wbDhcRX3pd8+KtlhuvlyzXlv/6c5a9acIPfLq+F3gRpNymuneBPlNeoCDPHR96qDv//7edRwntXJBM/T2VZk9w+06m3POZ8di/pSIdMsieGWn+xx+peOTRjt61wO+Jh6Eq/POfS/gb/1bRCUuSBQuBP+he1/uwg7XWEyURzjm0Dp40q0V4X6U31YiBpDdQZJlmOIpRUlIULfPFBcnVOne+mZBKsJq1dJ1jNE6RKnAYpBTUtdloBu5FheWiCLlxXciGsl1wwR6Nw47Ze4/ZOIGfSdPvOmUMBzFYx9GNB3uSnH//zZ/G3CsfjxN53tarq42XUirItyTrQ0c5sxR9Q95TzGeBsAxh7vYHGu/mpKlGa8n2boKSkuWRoV56VrUnn15wfITgvOoDof1VLz0H1OR9Rdd5bh8u+MIrz/Ndjz9LpCIipbl0ZcDNN2Z478nTiL1pSpTmXBkYPnCp5nAR8fmXNK8ddLxxs2K5NPx/P6e5vJXwA9/VvK0DEvc3JnvvMLLM8ZGH2necZEJAPRdkW2//BVMJsi3u2QQko3s3BYGfpXjuMvz0B1see7yjf8mf3yfWwj/91YS/+2sar3yY84o/OMgnnOOz9Ufr0JLMskAshkBIHww1UkLX8wzHml4vVCWNsZSFpSosprtfhdhT1i1Hp0u2JwOqpqPbVHru13VariqaNvx72xmsCwWS3kCjtEBHktuHczpjz4FTkkQM+zmzRYkA4ljz2s3/AT48vtC4CiA8vC2etgFFsJ122iMsaL9JBdAhGTvpQ9zzRH2HymPkylCXBmcFTSXoOktVdQxGguke7OwpTBmznFkWc8tq4ahLS2MAJyis3xiLecoaGidYFo6+9iTKY4XjK7/9VU7XJ2zt7+PNlJPFHWTiaWrBFoo/88SEY9Hw+E7Fc09YwHG6yvjqtw3/6Occv/bbghs3HP/NP3M897TiyvUcgQM6hG/x0pFuaUzRhAeACuo0+gKcIMrhuacs9o5FX0qwpUKmHnoGGQvQHeJE4I893XGEyBzRIFSIhAWRgRPh7741RNmZiipEbhzNPWOr+PFPdVzb9gxGPpzvkcIJ+Mpvt/yf/ytH2fPsXLEkwx5RtKSpHCL4aCHiTTlH+3sqO+ekntDzwm0CC40JIbBKK6SKcF7RdR11Imj7kKc5Ot3GD6a0eZ9GdLTS0W2st2Uc+vfOKYSUIZZEGuqipjMduWlJ+jkuHWE6iVRgrAmxESja0rI4XlOtDF0d9M9Z4rDSIXvQE2Crkll3gLOeSPrgzhwHb4c4FURpgqs1i+Ld9biDlDws7nEi6JpQYVH6wp/FWd7G5YmiUMUbjcJ2rSjCQw4CkFyvW6qqY2uaMRzFDIYR3TXHemVYrzrWy7C7thuDNms9roZq7WgWwd23OHTEfYHc5N187svf4qCcs7u9RaQ1b87uEPXCxmEiJX/xQzVHzvHM1ZKH3hMUDauF4qsvRPytX8r5lS+W3Hyz5q//YsazT2t29u5dNYUEfR/xw1mbSmp46v0F7akg2Q7KISEu/l1Em3ZRHUB/ICpvODAFZHsXJ1AI3lYlmp0opkrz5z9ZsrVn6V27WPiR8NWvav6Tv9ngopZLl3P6Q41OBW37B9/uOnPva85yt4QIHkz9UWjV5Lkmz4Or99kc6EzYVNiNw3DbOoxx6EgiN6t7UbS0rWU8MkSxYjCI6dpgLHf3A8+0htWsCP4njWE6zYg3JyaOFVtbGet1x+lphbWe4TCA6PNrIwXZuIc1jsWt+bv7+u/gDN02m3vmbaBAkLWCdCTJe+HYhqPAM1stN47Xs471yrC1k5CkkiQLeUmXr2fBHXjdUTehmnDWJnU28Pm6ylMeO6yBeu6IMoPeEKT/7Re+zUkxZ386JdYRt5dH6ARM6xnFgr/4oTVv1h3vu1ry+HtaPPBTc8Xzr2j+5mczfv0rFa/eqPmvfiHnA08odnfewucRb2/D3vPPCt73nop2LUgGgXck5EVrOjh3hznelQIVe1Qa7gMV+be3eN9SJTo8Voyk5898tGVn190DdgC+9k3FX/5bgTg52TbBzDQRNOYPOOcJxPLOWKxzwXtMiHO1FoRnutKC6XZyvoFTSmKMPRdfAPdUu89fa/35XKjqbvN0Ce8dv4WvZoxltihwzm88rhpuvHmC25C/0izMsfYtrTG9ERjsTAekaURddzTNg5HfAwFPU9bUJVgvkMojI0FZQVV6JIIk9WxlCXkkOGxbGhw6DTtDmXpk4skSR9bXFEsfGN+NwzhBBKjY45XAS0Nv1zG9qnFGc/s1y4tf9jSFpLOexnhWRuAMdCaALOlg5QSxAi09iTFYcZPX33idoo04PW0RUTDW+83nHZlY8NM/2mc7kQihiXPLft/wQzvw4ScV/+hfCf7hv7Lsx57lkeDa9VBr98zCDd+4IH2Wm12kBGF9aO+ZjcFS5oJafd0gOo9ZeqJrQTruhUdvC8RMImtPdwOiZzzGg0IF1FoJdEyIp/BikzruMZ3g5BXFj3y4o5c5eiPCe440QilM2/GLv6R48xWHvt7Qm65J+z2yUULzRoXvQPiwM2ZDuZAEwjIb7tUZahZiw+MBVm2Ndh2t67AepIjoOkOUgNoZkg6fYWkylo2l7Uoqu6Rp13S2QxhHbIJUuq46dKQwxlN7i2ktSV1jbUffW9L+EPIxWvrQmnJBSj47KFkcN2HeVALjPUZ6kr5ECR9K51lE20Q4H6NShdI22CQ4ASiciLEK0vHbe8b3G+v1RRio2twdpg3SczatqtGWQmnFanYRMhqqCxvydaTIUs1q3VIU3T3KrrPduBCCJFFML40BuP36KS+/sKZdXTwAbBsIxhvjV0wV5Jln5N6u6HD+Fq8ODmgqz+J0szMzns+/MONvpAP+wx9cM9HB+VdqGG1ZPvNJy3Pvkfz9f5Xxt36pYyuKWJ34twEe2DzT/b27srv/X8aQ7vjzika7ECRboVIjgHTDN3AdFDcFg8c87TJkr9nmnR8uzkJ1W/JjHyjJU0u2f+/C7xz8y1+Bmy939HYkw1EXWnZDQbvyvNMO/EHDO8/qZImQgXviCdWKau1Ic8HOXs7lh7cxnWF9ugop3esQvNrWnnJlN+V+x+msYjhMaNvQ7jIdWGM5dTXTSUoUK9IsIh/28M4hpMQ7z/xgzvFRQdMEyTvUjMcJ6aa9FceK6URhncd5SOIAvKIkJk5jdKKJ04RqXdHvvzutsuk883kIarx7tEVooySDwKeBAILOeDdCQrJ5GEklGE0ien3NatlRrsP3fisBejjIeOR6n7rpeOPNOS9/c0U185voiQAA/F1G1aYN959YhBWqmnU87+/w7ewAa2B5ZIKpnYQvf3PJfx3l/KU/VDHVZnNcMNmyfHrL8oHHJf/gszF/8xctW5mkmgt4cBLBfYdQF8RkqaGZC9K7EtTP/y5g9aZk9IijXYnzzVLUewf+kIXuUPDjTzYksX8b2PEOfuaXBbde7RhdVgzGnjiRpANJ85Zr925HyJazdMZirDuPA9kcPlkSc/nSmG4TrnoGOqrCnG/o7Maa4G6xwXplWMwD6J1ux2R5CFWOIsWwn9/z+cenK4qiY37aUlc2ZHwNL6CJEII0ic5xt5Dh//u9FBAMznyn4hAE+6DxQMAzKwtq47Be0nUSi4ckLFTegWwFaRShZcRSWOrOgQq0UeMDAVBpgVKQDSRSS5rKg7f0+5Dkks5A23qEdERpS9RTxHlYtNvCIfB0CKTfcE8yieg82oDoglePEiG9XZ62DKQmii1x6mk3jsGrtecXvtawaj3/25/Q1MOaKMuQEqS27Fxx/M//R4Yf+ZQms5q838f53kbtExw7fQe+NHjjEEohIoVdGGwDSkuEcJi1QPU8VEEVoLXELQxysPHiSQUuAV9Y4p7CLwRqKBA9jYi7EFNQilAR8h6cwClHN5PspAYnIB94lJeQSYQW4DveuK347BcsVQP9laBcW8bbgmw7ZZHW+Dq0s4SQoEKqtRcC4dxdlQofJMpiA4xE6ImeVHNWZYt3CiEk3goSHZGN92izPnUB1XpJ2ywQqkCLNZ1ssS7wIkQjaJ0DUWI6qItg/x+ZjQU9K3LnifsD2jpBSQuVpVkZynkDbmN22XrqE4tFsB058jQiVwk6iXH9DCsSjBfBKdU6OusItK/NQnpXufxBoyi6zU3MPQqtcHdy7nCb5pKquNsbYlPd2CABqQSjYQhXXCxCWOBwmKDvuiE9UK8rBtsjokjhGk89e8vDWmweAu7eY4BgmLc8tahIoCOBjqDbdFbKwvKvv7KiaDL+8z/qSWaWdOdCkTeaOv79f7flj36fIlcV/XfwFfEeXAsyuQA/tt7samPo1hc8HNsGDsNZNSe0W84I0CK4HdehHYUH8YDVx6whcx3EkO2G97sbaB0cKH7hi4Zu7emGnvXa0OvFDLY0y9vtPT41dytgHji8py6CM/ZsVm8IxwJfB9ntdKdPnCVYY2kaw+lpfR7MCEG51TY+VAY7x+lpeI+69KwXgdvVHymgZjhMyPOIpmqwxpLkCcV8TbmuQ1XUetbz4AHlrGd3Lz+X/Kb9lGzUQ2uFtQ7TdOhYY1pDtaooZmtMZ+5xeH7QuHO7Cq7Ibzk/Up1VmTd8jkhSly3NypONw8bIdB59F2FbR4LJVsxgGCwXzvgdZ2O5rhgPc/p5QhRJTB3Wg/NL8A6F2HMA1HjmB4be9oajll+4oned41e+XLAuU/5PPyrpLf09HjejiePf/0nHD3+3YhA39KJ3Bgl3P8AhEOplFACOqc/UeQHIR70LwH/3cCYAI+9Cx8P7B1ePulKga4dX0L/s0dm9F+TWgeKzX7S0hacpHE1l6Q00/Yn6/4vHczZOFwXrdR0UnfXFOUkzxXCQEkcaa9w90+Nukn7TOE6OGtJcBTVpYak3zsvWhKy76dYG9Aiom5ZIh1bnYlmyXFd4/Lkj9+ykxTnPcBxAztakz3TcD/f+5lSfSeGdc5RVS9saWmN+31v8gYAnihLiNKD/pnIQBYtxn4RsjrYRLKqOWFpMG0raLgoApioE+cCTph4h/TmfxWtLEgt6wwiEAbd50CqwhJZOCCQV57PciuAfw6atoBzIDmQLqgFlPTiJ6wRtaUmlJ48lnbfYbuOYW8KvfNvw4a94/qe7Al91+H6KEAkSh0grHn+6w9UtQhq8SHD08csTfO0hscipgw58ZxAzj+g88UTiGotfCGTs8EuBW0mQLgRkWokvJWLiIQ47GbtS6NQjsCilwLcIEeTKwkiIPSICIo+wArP0aA1Zz6MV1J2hn0i86Ggbzd//Rc/tdZA/X9/RPP1Yx0unDVFfoYcSX8L/j7Q/D7Yty+86sc9aa09nvvO7b8qhMiursiqrslRVkkoSEgKEmKFbDKJxM1g0mG7kwCa67TBEOBzugHCb9hB2uxtomsbQDRhJgNQ0NJJQodJQkmrMqsqsHF/mm+98z7jntX7+43fOve++fPkyZa+IjMx8794z7L32Wr/1/X2HJHOsb1l2n7RI7Hn1ZkteKLHX8MCDbw1i1SepaQN5VVPWFUEyjLOAI3jhaHxMVDX40iF5Q2wX4EqCyTESaAtLE4SoE2ga9J/aUOVKfmutejqYvKVq5/RKjx/1MY1BpgFfF6SpkG1FZP0WFxtO9wOTfUuaCsmOEDqe1tR4ahofUeQWpKHbdUgTMZsJRalW8e6xM/2BB3mZUJ3PmzPDwAeHiLCYBqLEXEiTLhaBtGMpyvb8ZG3OycPdTkS38+7VzjeeclbgW49veNemE3UhXTOEGtpSaGYP/OVyQV5MA6NNR9qxNNX5vSwWni98I+dnrvf58x8u3rUoWydcv/5uVEeCHmrc0hPMpavvviRddpafU/TzNVOjXJ8HQDSXCvFSMOFL9ReKOvrz76McRVDuj7HQuaSFVbFv6F1bQeiGv/cvI+5OCuKu4dltx8eeibg5F7KexWVLxZczrA0tO9sRNoY336mp5u+zJIownda0rd77KGJJag4c3JswnxT4NjAeVxeKHb1uQj4PJEsLhDJXl+26Cmf3NZ9pEO3paUlVtoy88tXmpwbxQpo4trc75HmLczXH+w2T05Y0rdjYzDDGUJc17ZLv4L1mbK0Ky6ZRJ2fgAxc8w7V4mV9UX5jTUXb++/OpmsG1pVCcBtK+w0YwOa1J0+xdrRmViL/7/VefKYjQtEEdsH+To14I2UiLUftQGzQE4UuvlfzLD3f4X3zs3QWNsfDUI2TpqzkfKWhw/n2WB4zoASHdSl7eFgpjiodkoDuxW6qxVjlucfe83fV+d6Ma6/sOrwpRF4oTQ3f7fM7/g3/t2J81xJnhqW3Hp541vHxgdM7HioY5ZxgNLVe2LVh49a323an3D12v+aLE+8D4pLlYcBo4Opkzzyt8WIbimtVfXSTl5Qv/LoRwNXwrHB1WZB3HxpZwd+8Uaw2Rs9SNR0RIE8v2bsr4pGGxRIeSVDlFeVGTJiXeC2XVUNUNTePZXO9T1S3jyYKmUTTsweL7UeOx28DO9mWM1JhqTFgUtEbt8sUYTARVIxzmFVEDNWASiGMtXopcmIyFNBXSbAXlK6fDi8OHhMXC0+1Af+iIs5YoFqQJtPWSFCzLI6KBYJYwuRVaRGXQAZwYYm9pg1B6NT40rZB1DI3oItQ0Vk3sfOAnvmT4LS86vnu3xUqJkIJxWNlG7AR6C0xoEHMP025RjgPj1wPDSzGdawHTDWA9Uhj8XYMvA/GOgb4gc4t0BFOJWo9Xgox1sUytIOsQ9Sx2N+BnlkgspgoEI2BUoRDKgG204DACfgZSwHCoiedFI3R2I8R5pE34tZcNP/1FT3fT8mO/v8Of+XdbDmaBv/y3p3Sc5VMvOD75ewzf950Jn3jRs70Dx8cp/+u/LnzxS0ITWlZvpnuYgBOCCbQSaFpP3TQIMc46jHOUZUtzcEKUTYl9ivURUa8luBJ8oC2EtgjEVvvAIRjaUk+/eMg6hu5QSZ+JNTTzknwxo/UtSd2nlhbnPP1NQ6fv6AQhSj1NAacHnpN7ECcBG3viKMKYVk/FDaSxgcpSTA2ne57pGDoJrI0+WEvr8tUh4gMSFpS5qkRWvjmrUeYBmeo8N0s3bWNgMfMkaa2+JkskJ4iedFetrCJvSLOIOHbYyJH1OrRNQ1X5R5MlV07Ey038wSFeERZjA8VCw0l9q4iCboIGL8JPfL3mh74r5uPbH4y43cxhdsOQbUK6JedKKg+ztw3ZNiTrsiTcKmJjHIjX71hPtAiKOrJMgIb+E0Kxp0T0xyE7oLEhbQmDDwniDeURyt9ZbupfeSXhp3/Ds7lm+Yt/IObH/t3A8WngP/gvKqwRPvbhhM88HfFbPwuf/qSwtS5MxpY/+59l/NqvFYSHxUtG3WPh/PS4GnFiMVZzoU6OSmaz6uxzPDhW6qaw5KSIwHxyrniJYkO37xisRSSJpShaFkWDD8KgnywXfhgMEtIswTlFVKoyMD1tOTqoiWPLYJgQfDhTaK3uswBV2XJ4VDI9aUk7luz9XI6XY2enh/fhTHnz8BCB/CjQVtpectE536qqAtNJw2j9MdAFGiezNuwyGnRIkpi2bWmb/99QCVX0qfmjizTSxddCU2gUhg/CP/piyw9+MuKTn2rev9JA5eHjNw2dLaG7/cCcDzC+YentihY1AMtDQGiWa4ATqmXRP7y+fC6cmgoWR+aR6M/Dw1eK8Kw/pyhsfqS/vxpfey3mZ74U2Fiz/Id/IOXP/kHP6Qz+l3/HEMeWT7yQ8uKTht/6nTGf+XjD1kg4HUf86b8e85Uv5Y+2GkjNktGgsQ8rYvpq5POWqvDEidouRJFhONIIk9WamJ8EOmv2kSaYxkKaOrp9jZpYzFuODypG6+rbtFJUxZHj0vaIvKixZk7bBBZjz8lRzc5uhqCy89UivPoqRyczQhBOjmtNbbeGS1eyx17nxy49GxubTA6PkTLQNYEsdcxbz7iQM7fk2hjqYDBOnUm7XXADQ14L82kgTWBt3aJx6hZ8QBqhLDx5IXR7CaO1HlFcIFJTe6jmnnZhCKVOJhIlVKmtvOgGLYYIjaLInJAYQ9Oqe62NYdSF3b6FdcP+JOAz6Ow4Fibw93/Z8KFnDZf6EeIKZbOYAoiwJGAajG8J+R5RCnYYIyGhvVkQrQnsLnOynKO9a4n6gqwJ5CALwSQB27FIKUhriKyFfZBWMAPAGqK1gLSKXBlvziIkrAcqiyzzc+oFdFILeOrG0L1qwARCiHn5Lcff+ueBT30s5j/44ZhPPF8xORB+5l8ZnlsPfOZ7LT/4CeFDT1tcV42s2tYxmQd2Nh02qTSJ0JsVowdnDVFqsBEE4wnLFpEYj4siosgpl6psiZuW2rR046VpFVAXhmohJBH0Bg4Te3yr8HgUQ2cQsXmpz8bmkKyXAIFqknNy/4R8kasXQxJhoqBuy5kQd4S1bWgrS1PBfCyY27qZDzeXGV1OSYR4UTt+b4mAqBD6OIblY5+Ds7F1bYvjO0c0TaDTs2QdS5kHZhN/oeip50Lc0/Tg3siSdS3zsWc29sRxycZGB2vMGVLQNNojn81rsm7CxrVtjNV5XS1KqiI8MvumLSHf0z9/sCAyVknB1VQwkaFwgU7XsrkZk2xY9g8bbKaZNXMv/J2fj/hPn1azvvcbNlZUxVeQ3zN0L8sZMmMiKPZ1wY+6y7XcQTxEW0IHhnaun21209C7oqRN49RJ+b3GKjLCGCiP9D0lGKpjGDwlZy2tV15L+H/9i4TvfL7hz/8u4WPPeY4PI/7ev8r4+I7wO58Tvu/Fkt1nW2x0XiTlheHyVoRNeFfBYyzEy5N9CHJBOeciDQRtG2Ex0Tw0FxvSzJwVsU0dqHJ1l++P3FkrL04NIUC3b9m5nLGx3ac37BB8YDErObg/XapYVXlijW4qy72WLI3YvpTR1gXFPHCwXyJoUbRCSsxDKI4x2mbq9M7l8e83rl3eYP9wQlMvMEajaR40IFxxT5pSr2c60OfdOv3z6WR5Gu8+ALc8tMl3Ownbm4OzPwyiCGT7m0R4DPoc5MfC8KoeNAb9iMQaZrnHi7C+mVAF4e/+24j/45Oe4QeY81GmqfXGQX5g6O5o0WOsojeLPUOUnZOOzVIpCNAstNjxlWF2DwZX5Awl6u68z/dbIqXFsdECR86LnRUy9MobEX/jn0V85jnPn/1h4ZPPNUynln/0+ZTntoTf+lnH970Q2H3G41ZtOoFF6dnedqr8fOgwZVi25VYf4xEfU0SVeytDzSg2dHsRUWzIF16TzGM1R1wpVVcjTiyb2ylbm72lISDkecWdOzOODio6HUeSWqLYYrqGoqhZG3bV3sYLwVcUM88hFZs7yRmHLIkjnFMBQVFUumc5jbqIYru0JHnMfX7cX1aLnMP7pxzvlQw7js00JQsNedWQe8FEuvCJQ2WpkSFY6KRAbMgXwuREIAhpR6HdulQlgm8EHCRZSpplJFGK9wWT2ZzxPSGMDaYGibVxF3U0rDSIWaZMi7a6IoiMo2sNrRcarQeQFr7zE45/7/fA0SziJ7/ieXsq2IHh6wee//e/dvzZPxjY2EgwUitqY2oCFkyC8RXGq5Jq43lDs9ilvT8hOjmCSNEX0w1ElUEORVtdtYXC4HqeUGr7ywSQyjM+tPRbvUbUHhKByGKTAC1qtOgNtIb6xCALi4uEtBfAe2qB7AmDiQWwfOPbjv/6Jy0/+gMxv/1zDZ1uzuLY8q2vtXzXc5brm4G1AQzWA3HXYpwjlHC41/LqNx1P7hjW+o6TqqWR1eIJNhXiTBd6a4V4KVdsPZjI4OKEpirxjdUw1Z5juJ4SdzuUTWBaT0mzwPqOoz+MyfHULRiE/iji0pUhl6/sMBoOIbL4UMNmj7SXcP/GAdPDknbW4jpGYW9vWN+GTs+wedniG+HeW4HJviJG+QQG68JozTAaCa4TEfci0sISWk99WtFNIjrRB0N48mnO/bszjvcb0swQDQ1pxzKfnhOUjYFs/fzBCl4TggfrjvnYM520iBRnxGXQoNSjI/XuSDvJhQTzYl4yOW4fuREnQ4OvBV9zVlRaB9mWxjOEWouQ4FVV95lnuvyl39lwMIv4x79ueWuhyouv3G/4W/884z/8IyXd4eMt2V0HRh8RfKEFT3lk6F1XuW7UgcZry8kmakOBUYdoAZqZFhRSQ9U6TOTpXxfqsSEePNrfRDyUB4bqVP+/s6ucn2YK/SfPi52XX4n52/+D5Y9/f8lv+66WNBWaKdx9JeHf+ajnyY2KTifQ2+UsoV0E5vcs3/hmzBNbnv7IMc4vFq9xX4t8w8o/yRLC+Wm307OcHvoz0840tQwHCWkW0baee3dyokRjRfqDeOlHoz+7thmxe7XH7pObpN3z02dvvU+SxezdPl2SNQP9oWM8rqjrwHCYYIxhMIiRq8LdWwWzU09TFQzXGwbDmH4vIYot6TI5OoormjawmHqSzLK50eGDjEVecf/+jMlRS9bX1sJs0nBy2NDkQjowdLcMUWaIUqU1YGB9I6EsNYLg9KjGbCWkHacZZMcN1kB/GJ2RTh+sgBaLislx855y6rO25wPgatwx6vicn+etWWv4/hf7/Pj3l9ybRfzUlyyvHmssztfvt/zdn+vy535/Tq/3+KLHJbDxXKDJDfP7huIEBlf1HroU7NJl2sYqHhDRdhWy5LSKtrCqUwMBBtfljO/3Xg9bNTYUx/qXvcsBgrlY7Ai89GrE3/kX8GO/veYHP+NJU6GaGN5+JeZ3Pd1yfdiQdYXhZc3bWo3JnuUr34h5bqflV9cck6OL6I2NIHvAMDNJ1IahbdRgtXqgDWuMRkKsb6akqaNdWibY2LC9GTFaT2iawP69Un2YOpYr1/pc3V0jy87v+7DfIUtjbrx9wulxzXyma1y/H2msRFWzua7u4CJwvyoY77U0VWC0EdPtOwwtm+trJEmE9z3yosa3M6aThqxr3/Nar8ZjC57D2/fZuzmjmAQGsaMsgxI5KyHrKF+nRZBUjzQhCGUJcWlIeuATQz4VfOVJMrP0u9AbGSWe3shijcqdfYC2jjm6K0zuW/BgooDrGuLlqSq0gomt/mOVD+MqcMHRSVLiCFpfIi4QB8fzTwae/3Ag6rY8/2HHP/n1mENJOZ7VfP7NhvFPeH7sdxqeumSIOs2SEyGI9dh4ndCZYF0gjmpc7w6ydhV/XzCnp5jM49aXCUMNmKkaEIZacKnFLBdsciG6ZOgBTAKssXxKIsyggSoixH6JWgnYpSPz0FDnAdsIwRmSpxTtCMHxyqsJX/qVjP/tny64sl5ADItjy9HNlqeuqHS7mwZcR5DIcXjf0LEeW3vWI+H3fr/wwvPCL3/DcjqxGNGdVKzBZZB2FI2JYo1NKGvBEcCoT4mta1yWsHG9x/rOgKSb0pRCfv+IOBK624bhOqRxTDGvaRoPDja2U7Z3B6xtdOlkKV6EdpmHsnVlHWmFYr5PdVJDgNZZFihkvbHj6fWF7WuGcgHlFGb7hmoOi6khjoStbUfWS2nqiLZsaSpP28DcN2TJB1Os3H37iPvvVBQngfQJpzL1Soud1Wn6YRlvmauKJ4oNnb5ujnUZyLorRYNmBaUdQ7cfXbBUlxA4OZgz2WvPTsU2Uf7Eik8Q91fv+wA5OoI4tSQjPQAEL0TO8Nnrlo+8WPLxDrzwvOO///kO98uUozzmC283zP9xn7/wuwsuXWsencWkb4lxYPsweEbzrvJ75kyR5dLVoUMX+FCDvabcLK/qd3pXIRp7mgk0oyVHogD7qLQDp2+arkE9hXqsf9x/Qhd+EXjz9YTf+Lrhr/5Yzc6OLsb1GBa3DNfXCuI+JOt66m5by+zA0OkH2sLQ2wn88O8s+MTzEf/mGzHTQ39eXFrduM5Om0vp+WRyvkFEsaE30ETm3atdNi716fQ0fuT+zWOyriXratu024upa8986rEGNrdTdq6tXyh2QNug65fWcM6Sz/eZnLRIgNGmO1P2jYYpxhqGw4Ri23P/nZLZQaAsGhZzz5Vrht2tTXrrfeWAtZ6mDioFXgTy/IMZD75985h7b5UsTgLRU4b5VB13q6naIIC2jjRfazVxVYkzWo+pS0/TCIf7FVGsRqkrEvR83tLrR1y5fL4TiQhHR3OmB/6smDFWPXmiBPITUb+fDUVw2hqKE/0s2cDQWz9HkowxfPpa4CMv1HwshU886/h7n+8ykQGHpyX/5pWaedHhT/+OmuvXHt/eMk7RnPWuUBwb8kND0hfSoeASQ6gNpEJbGuoZRFc1UX6xb/AVrH9YqMbqw5OuKUfOuIvctgeHS4VsXbk61URf4wKy82bKr38z4q/+mYLdbS3YqolhfMNwpdOQ7kJnS4h7Qt0Y5keWrKcWCcOdwO/7oZLv/LjjCy/HfP3EX+DnxD1DnNqzy5EkliiytI2n14+w1lNXgTi1bG11uLTTp9dNadqWW3dO8K0wWouVWHyBF2jY3E65vDMiyy6uucYY1td6PPlEoCyOyRf6mcrSUxUeCRV17bmyu46Iej/l45LT2566FDpDy+VrHdIkJl36ZTWNp22WqepzT5Y9PkLosQXP5N6UYetJI0uxaGmbQFlpi6m/bmitMC9F20yrlkYFkxMhrSAES1urwVG+EM1yqvQH40yN4epCKEtPGwm+CDQlDDYNWQe8sUgSsAb8HMLcYhPBZnojfBCsCFkSce3SDpc21+knAdop02rCzdtTXn4NXvio54ldz4//XkNdppxOE07nM5rCszisyDNhkAhGzFIq2yLWYJNESbgIjpKQvAPbHRgb5CAm2IDbVD5HKNTgLs4CUoJgEG+xQRAbcJHCQrJn8cEgPcHkCbbbEg0ssjCEJGB7Fuc9xgZMYQjB4J42SCfQTGLu7CckleFP/8gcZ1pCIoQ5FPcC65mQpOoFclpEvPWqYVFaPrTloetZu2TJ1oXgPD3vuLojvGwhRAG/XN/jWBVI1hlspHBlVkNdB8QGer2Mzac/RLffx2XKT1ksppweHVHkc+JUi2EbW7AO31iaUidit5OSphHBNxSLOb4JNE2LbxvquqYuG4xYvNfi2S48BItvLEYirAT6fcPajqGYCjTLIjGBKLH4OmZSCOOjitODhpP7nsWxpZRAPS8e+yCsxv69EhdDMjCUueC9X8qD0WBQQeXfD9Q8wQvjI0/WVUdYCUIx100HOPvZqtQTaVM3Z8VN23iqsqWzbs5aRCuFU1tAeaont2TN4OIlAu61EH3umT7Prg9ZSzLmTcVJVfHNA3jlq10+9umC7eueH//RBd7nHL9lmeeGRWlY7Fn81kUi5nsN6yBdE2ZvLwubyJBsKPpTHhmyLSUL1hNzxjXylRZt1ulmNbth1CxwtCQ3J0I84owDZIC4r62veqo8n8FTuvD72rB3NyGyhj/1oxXRMp7FV5DfVZSr94Sqw+bjiG9/OcPPLFc3c8JIyHZUAGCB4bpwbTPilQfaWmbJ38m6dhl4qNJva80ZKbnTTXjqw2t0Bx2STOGmxWTB4f0Ji7w5M/9bqahE1LSy07V0OjHxMspaROeGcnA8TdVQLMqzrKm6DCymmhm2yHWOjEZa9KytJeTbrQpDRIgS5W6EEJgeTpicLBifFBwf1OTjQG4CVf7+rRyAw/0SG0PStbR14OSwppwEXGIu5F49PKoycLhXnT0KIpzJmqu5IoLZSFGDB/1RQgjUjWe441SFFpaRDLGhONFitimEYgy9bUNYqiU7A8P1J4dc2VljkPUo24rT2YyX9gKvfTvluY/W7F73/OU/Micw5/ANx2SmXJHy1NJunSsKHzeMg2xNmN015AeW/mUh29BNtZ4b4q6QjdQaIbTKVfO1wcWCceqof/qWOqUnQyHu6vyOH3reXKIBusWxoZkbRk8HLfA97O9HpDH82R/JzyKJQgOL+0pk7mwKLoHpqeOlr6ecnkZ8bD2nv6ahosYpF6g3Eq5uWV4yF/UQcWY0BsQqshkQNrcTZtOWKDbsXukwGvTo91PSJEITyksOjmbMZy3dvrvA22obRd3iyJBl0RLZ0Umx4jG2baCqG/XleaBKapfFcrcfsbYB+4djLm2vMRzl5JdbZEdVzi4yWKPq3sk05/hkzulpyclhw2w/YKPwrtifh8djC54Bns31mDTqcWeSc29akWOIelCLJp1bo4sZosZ53kJVClUJxmi1acSoV02LpqkviZjeg4jDN4ZQ1+STgjiB6x9OmM1qitIynweqsaXaF8Ii6Om3I9AJZwz5Xi/mmatXeO7ZZ9jopfj6iP3ZbW4Ut/nJr854qxE+82Hh2k5Jr3OIwzBIIcm01510jbaynEoBVY1yTDh1SGVxAyALEAmSLTAjlca3hwFysD39Xm0rRJnFdQzSBJKrgj8x2BnQDXgB0xXM2NAeWFwf7BOW5j6YTHk0ZIJsWpW/lwbbB3GW2T3HvTcirj7j6a17cB76BlMaoihhdDUGabGh4vi+cHsP4jawG6unT/9ySrrZUAfH3TsJ/9U/8PzSl1pap+wdq50yrIV26Z9hjSVJLd3u0hSwFa5srjG8vM2srDk52KdYnFDkOXVTAoKNhKoxmIVBEs2ManPlV81PK5LolKmb0VYtdR5ocq88hjJQTj35iaepIe1bahvwQYhCoPVGE9wN9Afw1EcsvVQX6NYash7Mxp57t2qO7wnFRGgKQygNZSuUkw9mRaqJ5wndTszBfSWAtqV6S9WVPriP0j4Grz4sF8bDPyer9pdCr8EHFuM5Wcdy7dlM04mLQD4P1HOhPF4mT7fgKzkrUEIDG9uO77qyy3NPvUicDanzE6Z7r/N2veC/eWnAD00WfPcLE7YuN7hMWL8sDAstRNJ1ec9ix1eqPon75ydNm0K2CfkeFHvQ5roGhEpbUVFPX7PNoXsVXGrI70KyBmau5oXtAqpjJV73rmmrLFnTdpVxen1FNGcrWdOT8Wxiuf+25coTLb11f/EkmcHww3ovjIPpm4Z792NGcc1wuyXuC51dWXKLYG8/4v/63zm++EpB3DP4cmmUuPQ08l7wPmCtI4kda2sZs1mND4GrT20y3OhTFTVHd0+YTQqKXJHLFfdBRJgvGobOUFcaoVCVwnRS4u4eY63Fe09VtMv5rihgPvcsxv5sjuVzT1MFBuuOhWgCuBKZHdef6BEnEQEQH3DWMD+Zc3BQcLxfa5r7TM7I7eXJB/Nmcc5w+amMKLKMj2v232rwtTC69v4coLbSTf5BtVQ5ERZHWri42NLpctYODiFwOl4QJ4Zrz3aYTRryXNGE4lQoTs8T/uqF0C7vExaS1PH801f57NUXSVxMGzy3Z3d4+/QWf/NLfX7HwYzv/ticnd2WJIaNy57BIBB1hO5W+64U89UIraacx91z3xubQHcb5vchP9SDcNzX56MaG9KRytFdIgyvQZ7C5JaSm80J9LaExb6iRHEP1odCeaqcvyjT91kRv9ORyueNhenEcnjHcu0Jz+7g4pplY1h/NqhAQJRMvX+QsCYt10YVaU/o7ZyTq/cPYv4v/8jyb7+Y80CHVpWXscr4jdGQ6Lb1EHGWNr+1OWBt2KWqWvYOJkxnJYu5umn7ViXjRe6JY3tmthm8FrzzecP9gzGR03iPuvZnc74qAvnMk489bYW2SpOloGPR0tSBrUtwcDTBGNi92mHQz86etSyL2D+acHxUcrxXk59q/toZ4jx9/Jx/bMEz7FkyIjbimO3uJt14zI2qoIqFutYuDHBu5bJsoZlgCM25gZosfV0koI52QWVtaeKIXKAtGqYnC472C0IhRAa6/ZSt7S7792bcuVMR5soL8K0GdraFngiSjpAMhc4Ikk5KnXiKqKFwDaFvOTFd/vXLCz7/zZqPXLH84AuGjz8D/b7gbISYGLEGEwRjvOZfFWr6Rt8TSge3wHQCZluJqmEn0E4MLBIo9YRHrqoyqYXQKr+BRjA9A1WEVB5pwAZDdElwU1VFmEYVb7Zt1bSwhhAL0nV8/UuOr9zw5Lnlpbcsk2qN3/W74E/8aEQ/OkBEiIa7iL1ChkeafSbvHLI4KOh5QTqwdili8wlHiIXbd3v84q/W/P1/2PK1V6A0ynVwVjCZQZyhlUBVB6qqIc08nSwilhhnYF4IvqzZv3WPg9Nj8skpQVpsuuofG9oWqgIq19J2S6rC08wU4j5oc+ZHBUbUL6aeCXUuNBWEAkJuCJXOIzYUJQupoQ2GqA2cHAnBWzY2DKN1YWPNYlzMomwQD4sj4fhe4OSeRVowQVV/0kD7Hm6yD48kM/T7yo/o9SL27pd6ig2PKGh+s8No68QAVV4xOZxwuD+jrpdmbr2I7Z2Eg72CO3vVBQhagqqnMJq90+06sjTDpT2818DHxhjqUYe5Ef7Bayn//Fs9Pnfd84Mv1nzowzXR7ntfAxF9D5sAuRYk8QCSkS7E6eaycJ3pom8cNPkyCqNSZKazo6TWqKeFXT3V14666qo8f8cosiL6ur4wuFQdpX0AExu+8mrGr37bIghfvVFz0jp+5LuFP/WHoNfxZ54rK9KlCBR7hjaHnWGppnCbSpAWDMcHls//WsR/+Y9bvvrqgqYQop5yjow1y8JPqIpAXQfi2KkcvhPh3FI+vig5zEuOD+Zn/JyHR10KbdPStmoY2FYaWLlHxcmxwknBL/1T5toK8bUKE1b3OXi1IGhq4fTA0+lboNaAx1FK2olZ393AJRHVoqQuasZHM473a8a3PP5cyKKv9wHTVFbKljSJGI0ykBnzSfOeeVIPjraCcqKGs0lPW1D5aTgvBANLLzZL3bTsH044OsxpmkC35xitJWxsWvbvF0xu1+86I6w2siiCXi+im+pnbYOn9prvF8eOwsNPvdrnn37D8OnrLb/rxZLnPtxoqvhjhoSl35BX9CQdKVporKIyUUdJycZqYVSc6H+3Bzr/+rtanKfrymmd31Mk1DjY+EhgcsPqtTAQr3K2jD4zvlGE8hu/avn6AYwLx1fuCmMf8SOfM/yp3xvo9S6uOSuFY75vqMYwiitcrGaH/Ss65/cPLL/yNcv/4x/D176xOJOlG7QVvnKK1zgcIY5gNOxeCOWsqoa9gwl7+3PGJxVtK1hrSFOLd+qiHIKQppa1jYRi4VkcLFWtvmQ61n2xKoMW4nMtSnyl/17ND39fGF622jIM+pmO9ivY0VbyaNBld2d0zuUS4catQ072a05vX2zTAYT3ATUfO6XLyDOblywWcCntsT1IOe7WHOF50EDTGDkLFFR7aiX1SrvkHQQNRNR+vAaNZqkuYG2RczQOTE9qqkLTpW0MO5e3WVsbUjeGe8mRGscJ4AJRV5Ro2IWkB+NOzldn3+KdW7eXXjcNJTNqV1M3MeNZQ90IL92wvHbf879LHE89DaGrGTVGeohVsp2RmkCD1B7bQrwZaLst4cjRvAzZdbBrYLsGxi3FqSMaCsm6x/QMYgPMQXLlNYkILR5/bIhTh5QtkjhaBFNY6pvgbMCkCeEtmH8x8JU7hl/YMNydDvmNNxyHs5JFUXBt23P0z6/A/Bb/8z9pSaOU4K4ibGPkBuXJEdP7JUnHMLhisGsJ93PHv/0l+LWvtXz5CwVvv+zJZ4Ym9piBIktRx4AVWq8ttLYS8rwijh1ZAp0kBjHkVWB/MsUbR1lUeO81UDMDMZqq2xRCNTPUJuDrkmoCYaEhptMS8uOgLs8tNLkQKhBvMI2ot0GryryohU5kqBFVcohQAmOBtgk4Z+j2Wpq6JS8EqSzzsaXOl5vqssARYxArF4yyHjsETk8qFnPP+nrCaD2iqtp3tbE+0HiAeAkaP5F2LHVZMb9ZMB6XZyou6yy719cZrPVo/QF7aU37gPHhSt4d9ZQ42oTAr927wxuLyXLHFIqqoTCKik3HBVXleeWu48v3+/z13oStpx+Dcgnnxci6IiPVkWF+09C9IkrczMAfq8FgqCFdh2xTF/z5bcP0TXP2naOu/ox4KA+1uLCxIjyzG+bslDT7mmH2C5a39uBfX4+5dxrxK6+UzCYVZe65dK3D35938EXgL/zPcuKHzNiamarGbKQcHtMz7E8dX/+85Ze+JvzKVxpef3VB9YC5nY0MyUNcoqYWFouaJLbEiVveL/VkOtibAUJVPbrgbRs1gDQWeiNHMffUS6SlLTxxT9FoX0Mzk4umiA+OoPlpmmmlLVGlezW0PrC51dU22LygnBdKyJ43NJU80sOJ9wdoAN2UJqc13V5EbxCxeUnRk+YDKKjSwVLZdKRmq9maobNmaZZzN+kZev2IeV4xnReURctirm2TqgpcvjRibdSjbQ65b99doUUJRB1Dd93SeM8rN99h71QRs7KuqJpGJfUhkBcNwQfePjB8/U6fv/EnZmxffTyyG2q9TulISIdQnioq01/O+XQIi31tZSV9De/MNtRDrDw1nL5pz5R/2RLlDB7m9w2jWLsR5anh+NuaedVZF+Y3DCf/1vL2feHnti03TxO++mrFfF5SF55LV3v8/VlGmzf8R3/cv4sDVM8M83uqpM02BTc0HEwdP/uLll/8uuELv1xx63Z9IWLFOnXHjjKY3lUE0reqlo6cIVuLiZxdZlVp+KfODeVndXuO9Y0EYw3j45qqbM/mzsH9UmMqcu36jG955llYHoqWRf17XP9HeXLVVeBwv2J9I6aTtdR1S1i21EJQBKku5D1NKh83Hl/wYJjkcOeo4HbSMtgyMAwkVvDLBSssT4YEPaUJWr0Fr5MptJAlwnDkMCgEamPl6MTBMj9S2bLxEVmqnhfDYZfrV3bpdwfcvTHGpYZ4HWwQTGoxHcFmgBEaB0dFy2J/QnI8wVrH9zxr+OFPGryDg9OGd+7DnVNH7jyTGl47Mlx50i/lny3IKSYYfG6xscOkhjgFv2iRBqI+MAxIFlPc9XRqkEawmaWTCOICMgdcwHQMpiOqQusKbtMhJhBFhjZviawhtC1J5GiC4LDM7icsviAMvlVz79QxKeFbC89Xwow/9UOf5ZVJwTduF1zezfhLf+ZFPprd4OQtYefZkqgbYzggLO5QHteMC8eNieOrvxb48o2Wd04aFpVhMQmUdzWaIHjlNcSRI8o8PtK2lgRdjOtcWMwqrIVO6kitx3tLMIbKB6IoppMmJDYmzQISO4rS09aqOItEM2aKWqgnIBXQGrwEQrNMkvdLDo4H45XfpaoGoTuwXPuQJdpqOc0N87nQ1lrwlhJoW0PrDZOZPjDzqaGaexaHQrFYxmSsetZOcLHQ73/A1R+YTTyz/Yb9fsVo15F2DGub0Rmno61B0O8YvJzxn+Cc0Bwl5xJl3yjhOU4NrQ8cHua0Xs7JzwZGo4ydS1v00x73kxNcB8xUCY8uNUQdLpy4x8ct3k+5ezTHAJ95esSPfOecWRkzreH123Dj2OFdzFEeeONuytoVj0vlkbzNFf9G+yX6/9kloZ1Dft9oYbMk3BirJ9TyEBBDZ1fo7CgClK4r58cmML9lqE70vlan2gLTa6Qn5cXPQ/PrBqkMGOGll3JeaQN/8Ac/ztuzY75x54DdzRF/5oc+w/fu/hJHb0Zc/nhztpGLQHFi2R9H3JhavvyFwFffEm4deoqgRWp+qLzA1XWOOoruPDzqSljMPVCxvdU5I6gbY6iqljh2S/WWkCzdg1cFkF/WwqEVDYStlaCNaIHX5vIADP7o4TLYeTai27cs5p75RI3e5lPdgCTAwX5OsWgw1pDnDWXhmZ62lOOg9+2h+5ltfbAivyo9xSJw+HZJZ2jprBltaa8kviIPtO7e/ftJ1xBf07medq1yXepAHFn6w4gss2fBkXFs2b6ktt1ZGnN1a4u1bMQ77vgMubMRWoT0Na9r1S6bz1vefGOMMRPixPB9Hx/xu1+YU+LYmxneuR+4O3PMazgthFfvZGzszC+olx513c8vmiIlNtGCYnBVC8koO//e+aF+yO6WkpnzI6PF0khRbgmcEZBX5p2rYjcfG+7+pKX8mkFqaAJ842sVr9YFf/h7P8Lr+Zhv7x2xsd7nT/7WT/ADW1/k4HXH5Rf8BbJ1OYXDueNGbvnWVwJfekN4ez8wzxvqWhTte4Cv7iIYXLbquxPAJap0S7qGyanalewfTR+ZqTZai3GRoddz2GW7Ns8vVuwhKNF8ha74Fvz7GXyixezOMzH9UcR00lwwSGzqwNFBRd0IeaGFcFmoueFi2lKcvrvaMVxUzz7yPR/3l60X6gBzL8xmNdsbjuGGY7NncJF+0bZVxYb3yjVADIblhZl6fAnbQ0e34/AhIqRC1HEYK8SoNbr4loCG7UWxo9PP6HV6VNOS4ztTaITeEExqqIMQzGoCqjGZbwxNZEhjy+aa4Y/+sOUHP9uokSGOuhVmBdw9dNzYh/tz+PLrGR9/qke/2xCnC4x4aAWpa0UgErAm4KcWOTVEu4Z0tyGKLeEQQuMwXoh6gWoPkg1wweDbgF232L4hmIDpKdk3XDLYY0s7FWQcw6DBrUUsfi7w9X9p6E5jPryzSbcb8fFizF8xHfbFkX3tWzzXBEKWcjwf8q2Xv8b3/lDFqN9iFgGZvYG4lvHtKf/mS5b/7J8Jd48rFkHzgIwzJH1LsMAy3yxJLK5vsB1VD5lWr6lBq/GyAaIGFwlFL0YSKMpAU6vTsrMW62JskpCkhkUdCE1D5gySpTTOUhYN+anXxX7p0yQC0hhElgu0iDp2nhHqlqfCjnpedAcG17dEiTA9XRYYhc6zsg6Mp4bIqftrfgr1JGi0woO1jVWZdf/SB0R40AKlzYXJ1BN1YOdqwmDg1OBtSb5TjwqFhFcPW9sK09OWtoHhujuz1ZdEzoiwUWRVtbYypIss3W7McK1DJ85o6oaDezkSoLdr3hWouRpNFWhqQ5zAqOP4sd9W8X2fazBWj1NtY1gUlr0D4Y07whsHKaOvwTMfzbVNtbwcodXLbuLlmmrV+6cea4sq6kOGUB4u1Tqxcnra+VIO30B1rOGhow8r2rN67d5V9aFq5soLcqmQDuD05w0v/YylfyBsLFfyS2L4P6Ux4xi6X36LaTfib3ZTbsmUu/feYPu5RgvverkBBS2ofuFLKX/tp2v2Tkvq5lxKuyowXGZoFooux32Nt3jUqbItNcohSQx17UmziLL01LXHGFVKWWOWTtoxp6fnxk5px7DmHMUiUC407PVdp8/3Wf+jTLkMw1FCpxNwrmZ66gleWEw9xTxgXcu0q/LbqgjMx/pe9eyhFzOQbhiG249XrKxGVaqnSpMLTe5xsWP3yfR8/gb1J5IluvqgT1FZeMoiqLx4GDFai1WNWwc6HfduJeAD1z5LYzY661RNw/FBSVsLvW1LOlgWmw//rugz1ulYdrcTfuy3F3zPp1uM1WKqbQ3zvGXvyPHmnuHmuMPoGy3Pf7S6kF+1yup68AChzshavCR9NXPMj/VwZix01pSTE/eUuxMabf+uPxsufM7+Uh4+u2eY3lYksbcr7P+c5av/k6V356UZOgABAABJREFUJKwvf/6SNfwfRimTIPTevMUidvzdNOYeU27uvc3o2UCaygWkeHrb8LNfTfkb/6Lh4LjGI1QzRZxWLUUXm7MQYliSyQv9j5UaLj8JtFVgeGXlln0u6Q5ev7+x+t0Hy1wrEZicqslkUwWaJmjm20Lbt7/ZYWND0tFE9KzrGB9fzHMLAcYnNbPJeUu4KYX5fqB9RLs26hgG7zPnH1vwhH7EUFKqIqeshKgXMdpKiNY8URQI3lDXyttoa4ViI6s9yyJvsRaKaYv3QrFQa/K0G9GJI+I0InaOsqloGoMxjiiJsbbBOTiZ7LN385jFdEoaCz4yeCOEZQ8/sucZKomD569YXvyw8Lu/x/LZTwlxz2KtBys4MXQHcGnb8OLHWDrCRlgswcd4H+t/LwLh1IFrSa9D6BiMQPF1Q3xoSD8smPVAlAqyL7TewSbYidNcKtF2DRZCG9S9VbT36TNVn4SpY3pgSTsJgwDJLzV8dhHjn76CzUZkeY5tFqRJSt9GzJIu4a27/Lmoof6Omk9/6j7DuEZaQ9UI7mCfEDlu34n4J58PvHHfU7YOa5Ywug+YUnCZhZ7gWki8zl5fLQuPZZSEscvPiFbrvoHFvCF0DYtcKApLlDqsgSgS4iQlrwqquiRygSSKIUQMoyHzWU09meCNxkL4sERCgqg3keiOJA9tPhJgPg4c3DQMGsjWAqmFyAh5bcAarCjJ2nuhRTfdttYFD3OOmmANNhV6m4bh9gfz4THGMNqIqYuaZq6hoBvrnQspwmfPR1Ciq1vKzMeTEmNhMfFYax7w7TGsjTRHy6D+QlW1slR3uEgtqcfllIPbx0zHFe59VPQuMjxzechnr0b84e/LefG7Ci02lt89ToW11LO25vnIczWExVnb+cFNp11AM9N2U7atC6KLoZmCzw29JzUiwqVCcWCIHfSuCdM3lc/DkrNj4N0OynaZHWSgLCwd4ynfhulPGZ44XX4QZ1j1x2MMWxaCNfQWLf97Y3j7e7p8/LN3iIxXZdYdQ7KuL3//Xsx/+0ueW/sKHa0k+/o/+q8og86WFtW+FMojVYutOBku4SxWIHQUsZ7OarpemM2qM5ds54wiorFlOq2o6vOF2TnDaDtl3mnYL2uN0lnyQj7oqGfC4U1tT3X6ligxZ8Z+SnZX7sO89uRzPagEEdpCLhZTRr2buuuW9a3Hux+vRm+guUbVVKM3sp4l6zistWeE0bzQa5xmF6uQ/iDi+LCmyL3+s1Bn3s2d5KwQiCMlxQr6LBj0s4Ph/mKPO/fHzBY1wyv2saowY+H69RGfe8bx730u55MvNhcOBFEsrI2EtVHgo880SFCHYftQ4dRWhmqiBU93e8XFgMWe+u+MnlSpd5RpERS3Qm9X3ZR9rRy61Xd7uCiTcM47asYGY4T22HDyP1quTQBr1IZhpYo1sLVcWzqN5z9JDbOPx1z/zD0io/e5WRiiVGhrONhz/KNfE+7s1UzvhaWaVjsno1i5MNmaoSnPi+7gYXEUzj2BZMXZkzOeTZF7Oj1HWXhOj2r6w5jB6OID3dSBTtedBXuKwHTccFTU74tgPmo0uc75Kg8M1qMz2oFv1MRzlZ31YBp7NZdHFjsuhsElnXePG4+npY08aS+wYbqc3CuwRohsROS09WSCOU9IRU9RUeTwrcdG0BvGqu0vWuVh1A0mbukQkaUxSWJJBcR7rLXYyOFDIHEtxyd3OZ3PiQaQJpaq1bvksOpGmhkC6tTprIEAk4Xj668LR7nl2SfW2F3zbG3kpKnRWW9aYl8THGAEQ4WLBIPGO0S7hrYn2H1H2DOw1mK70Hk2or1vCPuC3QmQRnDZwzxgKjCxxyaGEAWkMtiFwSzD5UTQ1PN4OftKYW0jQG2o/2lLe9PCEztEz34vUdsye+1L/NN7nk+vLdhwMe2sIHOW6WHFy79heeG3OKaFJWkNcaYhheOx8Ld/IvCLLwlEEdaGZZUOiE5+FylUK6nQzj2mMRAsodLEemsFibX1IkskwsUpRVVTNi1loV4PHZdgaBX9qRcURUWEIBbqtiV2MYNhn8i05N05tvSEWpVbwa+g8VW7QL0qAqhxYwC88jKO3xamR0I6Atu3VB7qoK24SCBeLpytaCEVALGiC4kx4ASTCP1NWLts6W18MB8eUIdouZJwclBrofMea7C1BrvE22VZ2GaZI0msuoUGoW2EJIXWhzNuiDWGTufio9fWDSd3j5iNC5LUYIxVqedycbIOOl1LECgXgTg1eBs4amK+ciNlbxbz0ScCO9uVKpqi84+9Qm4e9TXiIcQDoTrRAiYZKV+od00o9g3VkaI3JoLuFWF+y9AuzltgyQjqU/3vh1tFKwWUtNDpeKSGk79v8acGnyWcfurD+LUOmz//Nf5tXfNpa9nAaDYe4ObCl79e8tHPnX/yZqHzY1Fa/sZPR/z6t2esJP6PQm6M1bZgvi9naJZ/IPA16qoniVEXBayFuvaaIF1rNtZgzSm5M4b5rCbPL/K5osgyWAbFnh41hE3ls1Un6k30QYZ4yA+FctwQd7WFGVr986h38buFB1DFh9HMZGjobxnWtyPW1x9vs78avX5EpwvWWI7uV9jI4KxlNOzQ7aTM5u9tU66+KwmTcUNZBLUuKTyTk4aNbUXFhoPO0u26wlnLxlqf0+mCtWGXg+MppxNVbVmn0ShnbTOjMufwwKYnBA6KmC++HnN3EvHxJ+DSRkNn9G6StXmvOd9TiXg1MTS5Ie5poT98IqhEPFf/nVUq+urnbKS/KwLFoaJBD/NrjFsW0DVEI73/B//Q0k7AJzHzZ68TtjoMf+Xb/FLR8GJsWX/g5po5fOHVlj/+3Q5MoM1hestgrGE2Mfzn/9Lyi7+c41KVlje5EuABFsfCYNeQdPWfh3PjViKiix9YD0/j04Yi9+SLdkke9pyVB0tkTc0JLfncE8WGtbUO1lhm05b+jvIzH3Z0ftwQgcVxoJgETrIWtwwmr3Mhzgy97XfbIjzKO8xFWuxs7MQX3b4fMR5b8LjIUpoStxHRySG0LfU8QCfGWyWLKRdBFT7GWqI0oWMs/YHBOkfbBoqiYXZckR/nqpYxMS5KsbHD2oB4jw81wbTEsZBEEa20XLqUsrUd4RtDMfNMJi0+WLqDhMEgYZHnHJ8UBG/YKy3zQ8ONyrFzNODF4uN8JLvH1e4Nnrzm6K5D2pczdYfhYplovUVsS9Q1tJsJoQrEGMIMItdiNy0sDOVbEdYZ4quOaEdobqFxE0Y5PTTg5wG7paxzE8wZJ0LiCC+Cc2Dvgn8twgeB3jbZb//DTH/yv6W8c4+bDdzaN/xRd0LhhaMq0N8C12pxs/WE0H3KYPuB2c2Yf/Qzwq+/BD/4whajS11+6jfuks9rfX8s0njqnGVRBl4MthKoRD9PptckGAiR7h4SBOcsIhFV0dC2+lpBBGO0gKryhihAbGIWdUNRBwZdiOMEySy9jiXEQu0hag0eg18dSI2+pzXmzFtEiRBL5KeCqoFqbjFZgMRAAqZjaBGwQmRRhMhpm8W2S66yNxgnZAPDYNMwWI/p9D8YwtPpRJRlS5JpNlXbBOrak2WPflSMQSM30pis38FFDt94irxiclqQ5y0rX1jrLFm/g/ig/j5FvTz1qsKwqRrWNzqsb6mRXJk3jMclxhh6vYjeIGMxK5lOagTheF7SOuFmETHYG/KDs0/zke4tPnHtZYa7AdeHeCWBfY+ibXXqS0bq5rysHXBdRXzahZoOKidEyLaE/J7Ka12m6qtmpoWRy+RimKNZmq4tT2rNHUP9pn6QZtTn6Hs+waXPfwXbeu6JcNd6/nSIEMCLEBlDNPGMc8vupsrZo55wesfxX/1cwudfKfnMcztsb67zC1994z1JxXBxsX+w3dQuwBcrmf75RfIeyuK89SeiBewKmXvw50SgO+wRwoJu31HmARcrwXxVXD14Td7zJCzKe6xqoZqc/3FcaYvqUfcwHRlKL4RaDRTTkWGw7hiNkrM8tw8yrIXe0DGbaRxK6wPTWcHpJD8jsKwy44wxZEmMiyyxc0SxY3srkOcVp6clpycVTaNt342NPptr2kdsW8/e4ZjTyYLRoEOaKLK0udFlY72LBHVgns9VddjpxIxGKbNZxcF+QVj+/Y19z80jy+XtdX7L6Yt8avMuz219k+62Eo9dKu/ZCn7wPiSD82IBtPjtRUJbGWb39GL3Lmm21nxPC5xVYnoykLM27buu5dJHSwTq+4byHX2tdtDj5DtfYPPXv4n1gb0msG+EH41Xc16N+LNJYFHApU3N5koGwuk9y9/7nyw/99WW7/nckwx7Hb7wpdc5zc8rjGYhVFMhG5n3RYhBi2nxsLaRMDmpmc/PX2uFxkXOkucNYam2Oz6oKAvP2kZCv5epcisrCAOhyQ1+9ptvbYVWkRvm539W50LYg+GVi5YH2cBSz/wZymMM9LYt/XXHYBSr5cdjxmMLHju3JB2hjj1mTVsI00XOaL1L0u8QWUNmHM5G2EgLgSSKSCNtVwlC7VuaJtAbFIw7lun+gtm8YLA2pJtmS3+XgA0pPjQIAZdkuKTGULO5tkkvHXCyd8q3v3kD8ZbNUUp/M6X2huEwVqOyXgqJJ05he30L37T0eoesief4nZaf+OeGuYv56DMZv+W7hc1tv4yTUAmssRbxFkkcbq2FY0tTWBIjSBkQ8RhrsYnD3/FErcDQYHuixUMc8AsUYZFlavo62HppMd4RiBrSTkSYBarXhHwq1Ikluvkai//zf0xzd49yvOCP9g2FdYQqcDNEfCEP/PkEnriS0YkCpvXEQ6hL+NlfCbxx2/A7vi/hB37gCU5yw89//S6VVcOtYAJGIqQJRBaiKMLGniZE6nIcvBIsDbjEEhmQJOBMQESlhZ1M80PqRh8AG3mKaqrBqT6ibKFsDEUlZEbwrRDaGiset0SMrYBZBs4ZFNa1sSZEa3truUKsNhMHJgXSAHa5SbUghfJ+xAmt1dewVjAJSDA0IkitCoEo0jDRLE1wyQd7EKvKk6aOptGTfRCYTmvS1NHpd3CxPn0ujrDW4iKHi6N3ZRqNgtAfzji8P2YyqZjPakYbPQYbw7OfKfOSOldf+sH2iOCVqNpJM0bxkMPpIcW3bmGA0VrGxpVN8mlOr7cgAKPNASBEccQwyyiLCbvbd4klMLtr+WdfXWMSCj75dMNv+U7PYO29ZQ0mBiqoTwzxaJlkb5cGgjHMby55PZf059tCU9B9rfJ1lynykq4t79WqUICzTb78FurDBaQHJzzz3/wM0bzAAH/CRdTLe39LAj9Ve/5XnZjRkynWtggQDZS8/rNf7/GVE+GHvnuD3/HCc8zKil/55o13FTzaztBojbQv1PNw1iI6+96RmkxGnfNNyiwB4f5w1bfQf83nNXVz/h5NreostqAqqrPMobNkukdcbpfpdXss/P9QUdTkgBXStXcXPS6BzqahPBGirsE5JQZ33qNAf9xQhEupCVXhifqWrY0BSayvZY1R2f5yI3zXh1nvMxoWZJ0Jh/sli3nLpa1z6C2KHFcurWsbePn766M+AJ0oYyNbZ292wMtv3iGEwOZGl+3NAVubnuFoTgjCsJ9hrSWOHGu9AYVv6Ls7Gmy7Z/iHX+hxuGh48enA939Hy3D0mDnvAFHX5JV3jU0gjvQQP3nb0BZq9OdizTW0kcaeaMEvNHP1rHqQO7bivkgL+WvmLD4jOZlw/Sd/DldUGOCP9WJW3OJ7XvjnecN/NEoYXotJUgGpSQZC0xh++qUBX7jf8r0/sM3v/+iz5NWCr77xNvnUU01Xwc9QjANx15F0LG1H7RHCI8jILtaoDuOUl2WsYWMzVh7ipCFJ1D6jbjxVFUgSy8lRTVn4M46W94qErr77+xaZv8nRVspP6qydzzMbaYEz29Nn2Vjl7iSpkubdQ+vww+OxT8Wzo+e5PX0NG3vKJNCIIbeBrPX0OhG9fkaaJBgijLMYFEGxFowRQvAkbSCKQcQhTYf5UcXRfgH+lCefjRmMOsQdiw+eto3wvqYS5Z9ENibrbHFl+0nC4i3mx28xm+QU85Kdss/mlXUGV0bgGjANASFNYuLEM8/vcdSd87mPCpPc8uYvCLemQlnAp56C9Ui0txuDWcZWrHwrXOqx/UA0jQnzFhscNhJoIR54fFcoDhPsoSe93Gq7oFHY0QwU8gylOjdLHRFCIDICY2ARcA7aE0vRBFoHfrIg33sDv4AqQH8hSM+TByGShheHlv5GxJjA7VsR/asj2tdPee0Vx7/+fMu9iefGAXz95ltMC5ieeKJYMFhaEVIHH9rp8ge+N+XFjwjOwK234V/+bMWv/kZB0+rJstMVtteGxCPDLFpgrcLcaexoK4dYYdB3mLigyiscMUVlqZqaslECOQGqsqKcLagWXkntrSCNwXh9b1VRqQReWjnzZjrbIKwq45JNg+uD94a61tOYNCALwVuDsfqY20jnXJwAQREgCUvPJrEYExGZD8ZnePbpK9y8u0+aqk0BS0O6ug5sDHsknQ/WGjPW0N8cUJc102nNwb0akQlpr0N3qPrArJeRdtMlr0YRIONgEPf59MYLvFS9xJcnbzMdN+QLT90IO9c26K31l6TCB/sccG+xz72p8NynoMqFbx+17E081dzxqY8GBmvv/pwrNaXL9JqHWmgXnKEzkkM8FNzQ0swgv6c+NrJstyCqbBFRZZJ4JT3bZaJ2Mz6/r+3dB6B7gXh6Hv8eAdGS0NW1hu+JLO4KHPfg7aOUy6NAdKvlG2/2+e9/PXB8WnN095Bvvj6jKGE6uxgbYIzhia2Y3/cpx4vPd3EJ3L2T8xM/K/zaN4oLHJ+1K45uL8L7c3PDFUHdGEO3F2OMYbE419cWi8BiujRWxVAXtba7ZooA+UZP3A+PxxY7BpIBRF21VvCVaG6TVw8mYyEdvfvXbAydHS2GQlgWbfY83PT9xvXtHe4dHyESSDJLXQWCgHOWfjclST7Ys4MxjIYdWu+ZTmpOj2veYUz84Yh+T6E+a+0jT+Fr6YgPjZ6GYPmloxvMJw2zSUtVtVzZXePKpbXzi7QcZVvy+slbPDds+dinhfnM8Os/Zzg68jSl4zueNQwfcb1Ai3Jjly2q5VxeefL4GtKhttPrqWGaGzUGRHk+/V11OhaBYPVmttWyUI6hPDmPXqn3H7g8IkSLc8d3C6xw576B704dya6Qm4bp6xbfg+kty9dv9vgnv9pyclyzf/sut1/Pmc9qju5VdDYUAWlK5RY9dSXhD3xPxosf15y1d24W/MTPer7yjcXZtHOxqqO6/Yg8b3GRYbQW0+k5zbusgjp8G93Hk8RyuFddIKsHL5yMFxqcWwV8LdSPmO8fZESJ2hu0tYoHHpSxFycBF1uS3vl9jzuGwa5lej8s+XfnCOTGWv/x7/W4v7zSv8T+3jvUkpMZ0aoxChydLiiD59rVNfrbSrAzJizJqBDUWRDLiqMhxDbgi4Z83DI7CuQnE4pFzZPPbDLa6BEllihyWBsT8CCWpg2cTOcMswnEQjaKuf1Oxelh4Pj+jN0nAx/66BaXryfEacBYTxa39FMN/ry3iLg99lwdBn78D1jW+p7B0BCtW8zSwptWk4qNM7jYEU5rBIuRQEgaTEct9NM1wa8JNnIkVyzN2y1UwNRgtg20HtsIfmoInRiTCFSKitW3HE3pSQvBZoJUhnCq5nuhsXhZSlm9Lp6npaGMdYP/2Miy/kRg8NsCn6xLnvoo+GPP2zcsVdHyez4RcbcwzF1KcBvcPrJc3kmZRRVl4aik5BNXLX/xDwaeuTand6lRGXpp6A8ivvSSofZe08VTw+6lDUYb69xvDpmbgrZtsESkcaRhhMOcol0QRxmFTSl8S90AUrM+7DDsZ7R1zWIyp5wHmlKN1KQRIgc2NbQCTbuU7nuj82YphwbAKa+ity1k64aWQFFAOYF6stw0Cl1cglHajltKWW0i2GUPvWkEXxniOmVQP0KL/IjxxNoWt+7uU1X+TGYpAicnBU27z5WntugMPlgoI6Ip6fNJy+I0UExzivwuT39kg9FWnziJLxQtodXT08zNuVfsU0dCtx9z7/WK2V7J0d2G08OSp5/fZnPYpWMCzgZGaUu2RM9eOxrwyb0ZG7st//HvzekNA71RIB4+ejF6sN21avfaWDOqsh0hXcrRu9uB6WSZ29VAtg3zW4r0LO4a0g2F8kKrr5nfU2nuyvVXamgPP9hl2xbD7q5l488GfnsReHq7pm4d33i5x3iR8KMfDRxNhcLXzIH9I8vlnTWKoMRKX5e8+Az85d9vuLLb0r0yOUv87g0Tvvyqek1hIO4adq9kDEcJed6S5+oMmyRquz8YdemklqZu6WQRedFSV4HZWNVbGzsRw7WYtg3Mpg1Vqa3B8lgXbuO0mBSv/ITHStMT6GxahhsO36oPT70QimM9jDUzTfR+VLviwdabynsNg6332O0fGrujLW7tH5IvWoyB7UspSapGgbfvnbC7M6LXXfUm32cIVFXLYuqZ3gtM7+Xksz0+9OE1tjb7xLF75OuclKdMqymehkE/4d6rFZN7Fcd3G06eLnnmmQ3Whl1S5xkmLalTGoGI4eWTLt91sGB92/NXf1/B+oanv9Z8oLYOcEa2X+wbOltKVgbobEI5Xt67RttL9czQFEpujjKwkZwVSrO7Bl+ZM9WcNNAef7DPMLKGz+06dv5o4LceCJefUl+j4181XKHgf/N9MW8ewJ2x0NoZ949iru12WLQpPght7fn4ExV/6Q9Znrhc0N3KFTQP0O9EfPVb563cpGe4+kSf3UsD7u2dAqrIBjVGffKpIcZCUZzTPs5QIqNBosNhjARhfFJTLwLzg3AmhTfoGiL+/Y0AjYX+JUvSMWd2NsVYXbdF9PfnB4HBZUucXSx6uhuW/ChQToV2K5AmEcP3WZsfW/D8my/8Blm/5ukPbZFmCQfVhHHImQfP/LTkZnVAU5Xs7q7TyWKMKKnSGqPoRoCmDVSzltN7c+6/PuX0TkM9V9D3bpUzOS7Zudrl0rUB61sD0ixFiCAIZVMwnp5yU4TYGnafXmPvfsXeWy3zsXB0MCNMSn7fJ3tc367Z3Q2MRoE4UTJ8hSHF0XHCkwMwBEwCRIIXS1NHWIlIkgofPFQB0wWTCqbVYsQMArYA03HELiBNICRCsm6pjx2+imBSY2qDHYApoTn12MgSXw+YmaV821Dch8vPAsbgfUJpWtrGYo1h3Bpiga81hgrhcgRhbujFhu2nIfk+x9wEPvpRYXjN8Nq3DafzlmBgNKzZ2YnYeark2idmEHVw0sPbAaH1NKXB5BOi1NO7arCpxfiYKrIMtyxx4gl1IBqA7wp71SFtZSBOiIgIFMQBrqxtkLsxc5nTtDEh9PHB0AZLCI40ho2NEd20z3wyZTFpKBZCW0LbWqIoMFw3pD3LrAgs5noqkVUfYSkhMkZ5Od4IJjHEA0OaQlwJcWrJnVCMhdBoQSnOEIz+rl2upTZBW2cBZCakU0u78I+b6mfjf/iFr9MZWp54akTPxRycLijrhrJsmUwK6tf3uHxtneHW8ELi+cOjrVvGBxPuvDPj5LanmuiCcW9RMjnaZ/vyKbtPjtjaHRGleoJ2cURdVCwWC14OryMIV59e4+heycGbDZOFZ74/x088f+qP9fnQdsPO9ZrRlioiRaCqHUnscbFw7YXmAllZWAZ4xueSXGMuepGsAkptsvyZ5S9HHc7S2dsFLJZIhXVa1GgaOnR2hfLAkO8r/y3ekLM3f1i1JMA3fSAFPvLAtYyvCf3fKVDCp54oEeD1ez1uH/ZogyVLPJ992vP80wWDqzNwhsbHKnlh2QKaCkkW6OzKA50Xw/aaFt4ty+sQw/i0Jo4tSWyRTkRdq4jiyvV1mqqmqVuKoiVOHKZsaSotLpOOYWsro9uNmUwrZmM1HKzG6mdlY+hdsqQ9Q5kHqrGoW/Zjip44MSSpgVTzvRZpwDhPcaz5Zc1ccBuPKTxEVTdt45keTt775x4Y/+MvvETSg6eeHtFNO0znCxalKtTKquXe/ikba302lsjie71x2wZOThe8c2PCye2Wanniv/PtivHBETtPzrh6dcDO9oAoOu9/iAhlU/Kt41cIIlx/Ysj+nYKjmw2TPc/8eE459vzVP77Gh7YLnrpeMloP6pAMFLUldYGkJzz9sXcHpvrqHHFcjQvkV1miOzEX+CKaf2Wo51AcazHj6yXJf6IREzaC3mWhOFSuW31kSHblvEPvL14vAV5pAqmBZ6PzD5FcFgbfJfg5PP38Eim6pe2wKBOe36l4fleLrMG1EkylmYxxjYlU2RROIEo93S25UFNubKihZVUqShV3DIcH+ZmoACCKNPtra33AdF5QFOfXsW3P4z6c1XBQ5wxloSG5s71zsrIx0NtSa4F6IcwPzl23HzWMUSPQwUgJx7OJ2gy4WFgcas5a8LA4FEbXLrZ0s5EhtIbQrlpswtHJwx4NF8djC563b064/mTGRnfACx96kiztsTeZ8qVbL/PO4pByIdy+OSFfVKxnPRKTElmHixwhePK8YXpacbpfcHi7ZHpfaEoDVuXIvoBpJZTTGUf3FmxdmnP16RH99RiM0NQtNbq4pDaiP+xx5UNDTg5PKA6hmggvf7Xlr/21MVuX4FOfcHzPpwKf+7TlypPCWi+AXbbaRCDo+5rgMQRspOQQk7ZEwVEvIK4hHAmIRbwQCovzUN4LxGueOLOYYDX7JoF2IbSFIw4GYz3iDGnHcPo69OfgOi1pGpFu27MqepoL452EKqlwZYPzhtIbfirAfRvxl0zgShee/S7Lpd8ZKNdaOsERb2oxt3UpVk5CcESdmqTTMBgZIjnGLIJmYA0E6ViqxBBGhijuUnpLPTHcO6r41z8P/93/p2BWQ9KHaGhoTOBovmBa3ybu9ok6HbCOBkubC0UCiyImryyNd+rLEyKs1CSxoZMNQWIWE0XymkIjRqwRBmuGjV19wBtBoZlUKFuhhnO78aBwvG/UYdkHiCNII+UnOAfGWMrJsjfdgjgIVuX0ZvkQucRgaqGetUzuzyn8BwsPvf9qzaWPxGxlGd+98xx8ZJ3700O+cuMV7uyNKfKG228fszkvGa73MFYTtl0SEVpPXTbMJgWnBzn7t0tm+5qTtFoxmjmMc09+UnK4V7O9O+XqM2sMRh2MMUwPJxoWeckSpTHDzQFXn5kxvj+hnil68Oa3Cv6TU8/GjuPTz6f8to+nfM8nay4/0ZAM2vc8hxseIBEvR/B6zeuJOVMFrVCZ6lSNBOOBxqU8uFGvipe2OC8cqlMNB/aVBoS6jQd+3hrcFvijB/4M+Cd1y+0g/Je9hB6G7JPC6EcDbnR+zayD55+a8JHrU3yrhxljRP9tAQJZVp0VccEZGCrBVASqwnBw5PjpX3T8rZ+q1XXZqkmZcXB62LKYLegOLPEy18f7QLko8d5zelpSL0MxHyQsd7qWNHPqAjtpKCaB6lTOOEzdbcvGZTVsa2pZ5i8pQllP3+3VE1poKjlrtxgD/ZHFRWCMFj1Nrq/xXgncAEUeOD4u35Oo/vC4+1rJ9tMxw090+c5rL+JMxP70iG/eeYPT2ZQQhOPTOVXV0u0kWGtJkpU6EcqyYTYrOTosOLhbMjsMiqCtvpeH6YEnH+cc3KrYuTbjyadHrI26JIljNi+o6pbtjcGyLdbl2od6TA4m1Lm2B2++XvJX/uYRa1uO7/5kyve/YPhtn6jYvdyS9h5/mFmRiB8cK7n3yp6gPFVuTnmi5OTOlqr6/APRH/WSVFtPlPOVDIXZ7WUh1AAxZ8UO6HtG60J7ev7mIvDPFg33gvCfb6R0MXSfFzZ/v+AGutcZp2uyeUrInliipssCCrMs3qwQuYB1HhuDj0GWcnn1xLMcHBv+6S9a/ut/2lKv2j5L24nFvOXmjalmJfYi4sSSJOq0XC9NIusq0NSB2fRclRgnhmE/o25ajucV+dFFZVZ3w7J+JVKVsNWJ3BSKdja5vKvWF68RK20TSNKYze2EtGMZuwZjYb6vRY+vhHJykc9jjLpHt5VGFx0dFhwfPX6df2zBUzcwnbVMpzm+qbiy+QTPbzxPp03Z/41forI5rcD92yW3xxXt2JAERxZZgm8pCs98JlQLaBeK+JhYpcViWGqJA20B8wZmhzP2by/YvByzdSmj20tJuxFtyLE4YpOxvZGxfTnmzqTRtkXpefO1iLdvBF5+PfDLXxM+8yXh+7/D8IM/YHniKYeJuhgTwJRIWN48p20sw7IabzyuschUMK3Bh6C8CiPYEXQGIKVDFhCigO1ounkIQoqFxiMLQVrBbAZ61sC+w2ypJLf2Eb42aIqq4SSD6ZZhZ5xQtDD1wp+whsPMcu26o3MpEJ4L1M4SW3AjdXEuJ4bdy56da4bKCmkWLRvSynQMpeHmzZRvfgXe3Au8cbtlWhiIaowT8rnhnbste/eF+ZEQMsFlQnABi/JlikVLvpgSpyVpJ6PpROTiiUqP2IgQYurKEkKMFUtoGxwJSEK+aJmdVlQzJbQShDSD/sDinKeqlRg5GEEnjVh4GKeeIgIKkFbl60Ggyg3xXDCxxikknYBbft0gQp2rRFeWCwlLLo+s2jQW8kq4c29G2nwwRl1oYXHqOZ2XNBslm911Rv1tusbykwdfJK9bwLN/f8atG1OqPGBQI04RKOeBYqpmXI+0+0fnfT0TmoVneidn752S9csxm9spWcfR6aVMDsek3Yy0l7G+2WHz+oK91zQzLHi4favmzh149fWSn/9awmdfGPC7Ptbhd39Pzs715r1VWQ/7hrSKzkg4b7tIgO6uEjeLPSgO9CQb2iX8H843gZWyaCX5bhePfl8pISSGMoGkQQvFEPjL3ZhbkfIibCEkTwl2hUqv2jReUajhs+Es5fz8C0GoDW/eTHl1T3j7XuDbNwNFE3CRzqW8tNzYC9zfr5je1b6/66iyD7SIqQqhKoUohm5fvcQODhaA0DQXKxMXGeU4ObN0Yl46Hp+eFzEugf66Bis2S+FC2rX0hpamEiYHnvJELnwfCcuU8EWgOzi/UZ2efh7B0+bKDTLRRfXKgyO0wt6tmvABoiH0++u8nc4K8rbgWv8Ko+0BnTTlp3/1VyirlsEoYv9gznzaUM4F94AvVZUHbV/nWiS817u2NUz3PYtjnfMblxN2LncYDFI6nZiqaXHWKoqw1WH9yoKDt5plq0M4uN9wuNdw80bF57+a8DMv9Pgdn4j4w987VRHKB5zzCDRzQ1udt2BXsnQR5eDkB2oaGKV6L+vZ+Zxvq9U/+oblg0Dag4eJSgvqxkHkAWuxIfDjo4S9IAwugykg2QWbLQulZRuqHCtfa/REoK3PPZnsMjgUgdMjw6+95Xj1HeH1u5wV5QDT3PHOvZY7t2qKyUWUJXi1AgpBPcOKXNGyKLIUuT9LUa+qwOlxffGGGnWLr6qW6XF7QfpuHaQDjVppl89MOjD01i1NLRQn4UI47PJWUC+EvOuJxw2DUUx/EBFFhqOlknpV9OTHAd8Y0r4hylaKQYhSw+IgkB9V79t1fTyV3ximC89bt09Z790jqjOujiKaWUR+x3JSQXbF4vqBog7kU4tMPWmlRUNVa0q2AIh6ebjIgNOWhcLnlmAEu5Qlzw4Di9OavTcquj3D+kZCvxdhg5CkEaYHvQ1LNrQs8oA4C3jaFmZHhjuNoe+FF57qIMsoA2latQ+uvbbdHNhBhMk6IA1StpiZQU6FkFvswBP3LfXcECrBDvXGSBs0DqGx+EJPvGnP0s4CUWIxrccUgs0NzjlM1+O8EDDEqZ70IweDDfj4D8PPZj2+/XKHK5eeoR2/ye6gYNO1fPzDDXHH4U2jstdG1Ux2FpGNAu66J9k2pMYs+8ei5oEAxFzuW765F3PzRsS331xwf1KzaKH0AV8H2rA8sceonsSqHbw0yrfyAsEH6rqkqRqixlDXMXEcEXciBIeRDlYSfMhp65rQpgpxTuYspiVNBRICkXbHkBCocihrlZtnXQtRTBRrYKJYj18sfUva5cm8AjM1BCAbQNaDJDVkfaFeWoPUhSGUAg2YFHwEEoFxSkpvLIxrkOm7oe73Gvlp4MbNKdudm7xoI9Z3nsX4wOlhy/S0Ybjt6PQtVakRAOWxnBF4H+l18aixhNExMNsLzA8r9jr1Ukof0V9zODvDRXry6q87kkFLNT5/cQlQTYV7r1e8lAjf8VRXVzLhXB21bFHBRb7O8pGkOjaUx9C9ogGI5bGhPlXvFxsJyWipyCoM+f1lbe0e8T3fp1fvBsLmnwt86ddSjl+KGW5dw53e5dnhgv56RO+Fhq4TbFcPRBd+N9MwUJdpa+1RF/Opbs0rewmv3sn41o0Fd46Eul1aAiy5AfUDDsjitdjjAWdoRE3NpqeeeB7o9IW0825lVNvoa/pWuQ3TiaY2P1i8uMzQNEJdCfOJEpmjWBGkODHUpWCiQD0VfHleMDYLjZPwrdBfc2fvnXUs+SxgespbKfYF11HfnUcVPsVJOEPqPshYnHpuvjNlffgWzjgu9XZoved4r2Z22rDY9hgjNI2wOA2UE3lsq+Jxw7cwPw7kpyV7b1UkPcNoO6I31PiWLIuIEhhtRYz3Lm6qIlAthHtvqIfadzw9JDzkXnrGB1xuiBc2QVGuTrMwdC+pq3J5YmgWSyTIoiGcy4OFcYA3RNmyVfrAaN8HNHZ9YeffF77xqxEHb3Xor+2Sje/z3DAns7D+SSHJNCbpYdPOuAeDq0vLkOzRF3oQGcrXIt64HfHqzQX3T4XGB5pKyI8b2uoRKGLQGIjepkq/y7HgUkN/2yBJ4PiwUsXWVnKhqH1wlFXNfNZeCIkFjdOxkaFZFl6rAg30PnQ2LDYS8pNwIb29mgnZUBifNpRlYGMz0YNf1xG80L9kz4qecqLS+7Rv6G5p7MiKn7eiDTxuPN6Hp6cs9Jt3c4K/y3zS8uITEcfHOc0ksDiEcubJrhjigSXbEiSGZGax8yU8u4K7rG72cWR0QxKhFRAfEAUCiGP1rgltoC7BTYXpUUUZVTSNkAu4nlaMWSqU8dK0LhZtkRhPYw39TsRnn4E3X6r50ucjhl1DFjnyCmYGJBaefNLw2e80xM5CLchCi5TQE8gMREtn1nuWoQ2wEzBi8K1FasF2DMVN6G6qMZ4v1LSPBHwRkMzQzC0+Fig02NDHlqYBkwnRjvB7f2xO8Y2SUH+Z7qAliaFuDfVNIekKeW7wVhfV0ECSekwnYNcsEhn8JCClQMdheg7jEgyBQb/hD/2emh/6zojTk4Tbpxu8cS/ilRvCV19e8NatCcdjTxl7bIBgBN9oUnmUaGtInBZETakolm889FOMSwlRjHUxguCkAV/RVBGzScFsPKXO26WLpyGJIDZCKKCqDEUjlJUoXBoaSA1ElqQv+DhoK2ul7EKoC91L2yUBLs30/9MM9RgKgbrhjCC6WqBEtH0pkcaE+A+o0o26gIH775R8UfY5LSq+v5xzVMxYnHgWB0I1belfsnSHys+wTt+/WQjNoxAOsywSHjLlMnYpKT5VUmo9E+qZsDipcakh1LqpJF1DZ12D/yoF8i4MCbCRGL7/ycDLb8R88eupWsg77duvFr3rlwPf8dkC5+Ts9+Kh4DJzdrLUwEtY3NbQ0JVMOzSQrEF1pOjsiif1QRO5AbKh8Ed+pGT8iQppvo3rGuJU+Jj1tMdgRyC1vv6DS61xEA/e3ZZ4cHQ6gR/54ZLf97maybHh1kmX1+7BV19PeOm1ihv3CyZ1S1voZmYsFEcqv4/7Sph0K96SqOS8OW0Z4rQ4f8So68DhYcHkuNFNeXVfzBIVKFXxIl6T432tZoZJqtJv67StJiuUrNHfRVQF5j0M1hwu0o1juO6YjT1xd8nnWSw/8yP4+FFmLoTPvt/wDdx7q8D7O0w+nPP9H/40e7MDyllgcSxU85b+tp6se1v6vLbFkk/3m3CUfnCEAHUh1IWwOK5xSaMZe2Y550f2PYnH4mGnB9/3VMPX34w4/HrCZuYZZbA/NkwKFcE8d93z6Rfys41XREM+VzYEoMVmmxtmdy4WO21hSIcwvaUFSNzV33+/QudsGOhswB/90w0H3/D4+g01lUxVWVrdN0QbcmbV8OCIO3IhDuNRI8uEP/rbS/7Ad1qmY8s7Rwmv33e8dMPxtVca3ny74PSoUdPfB0ZTCNP7563TKIX5oRZBUaaH6/GJ8trS1FKV51WTb4V84RkfN+9WZa1MiMMStTkJpH1DZ8OeoTHZyBB3LU2hLa6m1Os9PxSGVwxl7jlsKwbDaGl+uAyg3bLMD88LLN9AfhLobVr1CBsqZ+j9ivDHbgNxRwjeMJvDOzcrhvGCD23mlGWpXisNhFPwwZBu64JoRlokpQ561lCfyFkPMnKQxoLJDHkD3milI37ZhkggyXSRjgTSYMkETA11pZyfeuxoT71K2ayhjrVnv/qerYW377X8p//PmjTKcFFK6izBtVjXsD6oeeqJQFoGimcaoq0KYy01IEYdbOlC6w3ZZiAKQjiGKGifNiwMhIBJhTgyqjKSFteLdJEOAbzDBEPahWpmyHqim1ckxGvguxB92GOOA9HTjcriM48sHHEiuFbIj4Xj3DEfB3qbMOxFuH4gvRZDJ2BEoV/xATMNana45jFdg4SItjBkg8Dl0ZxLV+d8x3MWfqDHrM348stb/JX/2zGv3lWHZBu8blwNUFuCE0IipJlhYwSRMdQYvMtoJMNKRhSBdSUxDXUuVEXJuBXyyQJfK88mdkIaQ2oMlFC1iu4EMbQemrbFdiDqOKJMCyw8mKCLqHg1QGxb8HNoG8g6EDmzzKV6wDDOC52uxaZC3qor9KrnTQLyAYVV2aZyUIpD4W5Z0+ssyNemlE2tpoaiRcH0bqCt1RF05ebrUoWw64dOGnFfN9V6KhdaPmeqiaGhPD7fMF26/N7LhbUohXKiadyPQo8kwBv3Gn78H1psbOgPEuJYI0AIhrXI8LHtiJ6oYKAz0hfxucZKuK4iOaHR/Ku4Z1jc0b9b8apEOOPEGMs5mmF5LLqzOjWbGPpPCfXEkA7VDDHua7p03NdiMFRQvmSYLmKaj8dc3ilI0kDvupwvpvLowkcRWEj6ge0ubO7mfOp5+GO/o6T0ES99LeMv/hcVN2a1FsKtbnQBlcLCUiW1Y+gO3LKFICTpu4udrGcp80BZBHzbUEzDBUflKDsngrcFVOOlymoBbRlIlsXbufR9NX8uvk9dBk6PhG7PknYsyTJvy7dCtqWE1qSrp+q21lDgs8/wUNjsBxnFWLj7WkWnM+WdnVtMq9nZa7aVbpL9HZUIx5n+k/SE+aHQFBcn5irbqZ7LI5U6Z5yU5RDhAu+nmAjl9PFGkm/c9vyFv12xvhWrF5e1OGOwFtY7lk9chquZojnpUqXYFormRBlnBUV3WwuQ2R39Wb9s0UrQYkBkOVcawELcWWZTvcdwiX5/E8HoyUCTG7KhFllJP5y5O4da53z+bUNzaMieErJn1b25u/M+N2s5QgtpL7DVhY3tgu94zvDHfwjKNuYrL3X48f+74e1Xq3ctG2dFqtc5NNjR9mvb6jzyrZAksLWTnuWlzSctVe45qsO7UBrQa9VWwuJQaEvt7BSnQlME0qEhHZxnfblYixQJS8L1A6/V1IGTo4snqXRoEFG+TjbUwntVsPlG1YtJ793u0g+Pxz4SvrLqMFpBWQqz05ajkzGn+QKf1kSDpe9DG2gnVqkxyxN4Y8E7kHgJ3zj9op3U4W3AWSVehWWuyErCFmd6mjdeiYkrb5/AMn4kqObfe/BYvNXXPrOxt1A1mqQ96sds9ISnLzc8c6Xmie2GnS2hOwikvUDS6UNoEO9JBgYGSnv1C83QCtbgNlS5Ja3D9gLFBEyeYEJLwOBnBte1BAImaJyBlUBbgZ850pEiKNEIbF9oUiEeWcQE5J7FzASxAbMpSBsQsdih0O0L168bjuaGe6eGvDZEd4Seh+zQ0kQxr75asTOK2L0c6PYMcqIcn2++bPnlX2wZDA2f+JjhypNCNoDxJOfLL834/C8bxrNGyeMexKhRmvFGP4NDH2yEJ684uv0uN48ts9AHNyRLoJNVBJ9DavBth+lJyXw2o8lrJFicEZJl4RujMmC/bFVZB+I1XTu0QkKASF1LbSwY0YglC9BCU2v/vynBiuA6BhcJsfohQkcY9gybWxZjhaOxZ39fKHKdE0QP8ELeZ+T7y1ZrUBnwZNxwryjYy0uVvC+5LKFeQqgPtIkkoOqxB4ZN1P3WWJVAt/kDSMCyhZGuG7VVL8///F0ozvIZedQQUTR1smjp9hybFj66YfjIpvD0mueZ7YZRryXpCPEDBozxQAnJIuc0MONQKXpkaOfKdVnc4gKas0JI3u80ZZwegmysTs7GQXV8/v1W160tUCPKDnQ/J/iZ8MakgxSWK25Bfi8QdaFoI15/q8/mds3Obk3W00y/+cLxzdcjfuGLwlYqfPojsHNdGK0FjieOX/+G5V/+qjDOPVFmqGdKaGaFuC2/R2hVYXr5Wka3F3N8VOC97tZx7Oj1YubzmiiC/sgxOWkpG9F58ICHVDIyZ6jYWbtzed3qiaLe6fpDUJ1RpYxZZrD5FiQIoRUWM4Xz+yNLf+hwTrlJ3YFjYyPFOsNkXHG015xFMJjl5/jNjrYUZuOGcT5juigRI2c+iMGrRLi/Y0m6Kiwop3KhUFl+FXpbevJ+L2+WbGSopo8uhlbj/eZXtQgseg392rE2dDy1EfHC5cAL257rw4ZB5rX4jB+Y8z15VwQKRr2kos7SS8zA+C1zxtUx9pycLy2Ex+yaUUfl68Zxlqm22NfNObTnxVM908OR7UD/O4T2CKq3QE6BS1p8JQOoxfLSvS5bg5YrOw29rieywmRh+errEZ//DdjpCJ/9qHD9iUC3I5wcOn7lG/Cvfr1hmvsz1PCR1xhFS3avZAwGKXt7C6bjhvXNhG4/UgfuQUS3D02jiGU5FYrTiy/oYuXrzO5fDPYUoCm1ADLmPBj27NJb5eA8ahjD2fMgAp11Q7cbs7aRYAxMxjWzaUs5FZKOzqn38wJ6fMHThjMygPcwm3nuHc0ZN1N87El7UJYgYmjLoCf3dHljaxSqM/ouNjZn4YlNJUpoXS16Fn3IPSRooKIvPNKo+saInvZDUPWEbfQ9g13yg4IsCcaK9LSiMQrf8xnh3/mhmqeeKoljR4THeEPUBTM02GwCCOJ0BQ4tUIOUEaFsSXraomMNTNkilfo0+EmrmzKCTVrMpsE2juKuJxk4nDHEjVA4JTa6jqiz1MATDwwmEsIYbNcSTjzVniOrLDIwmGehLa1a04+Ey2twZc3gS+HGL1uO3mrpHhlc5okay6+8Erj5G4b9caDNHeOJ4cbNgpMTiy88Sdcx3IRuX8gr4XQizAttYal1QMAjWKfEW9eo+iWIITbQzxzEPWoXI6ZLHMVkSUFicmbVgtZbTBSRZAltXWjr3Gi+WRJBEmnQaxCwYki8GgOGIBBUhVUbASvERltqNtFWRxJrdlpooS7ACQyHlu7AgBNqH/CtoZc5drYTRhsOaaB3t6IuG5oq0C77yPaDxQrppr4qYATmk5ZXJlPm8wYT60ZVHMmyWAGMIiLaClrOoQcfsI4WO20J5Ym8a+FZtTGSoTpVI2jy8AfvRrCSfDtr+G0fifmT393w0RcK4kRjQIxdIi2PtkABVHnSTDUqwiaQrOnG0OYakbBCm1ZcpXRjySF6jM9I1NF4CpcAThPWk5Eite2Rvo7rQP9JDSPF6N+vPV/zVHZIqOHw1Yh6qmGmjQ9EpeeLXxny2knL3cUcaxr2jw2v36qYnrbUE+gNLf01Q7drqFphOq+oFiqOqOdagPj32GjVWTwiitwFRVavFxNFRtvLQRRtic2ZqurB7+yS5QsZzWxqqwcK1gfmzco52VjDaMMRp2bp8mxoG6EqA9YY+kM1iTOoK31/EEizmPWtPr1RFwlCdv+UqpwyPn5AUdP9AHPnoSECi0nL3f1TFvNGC8MHRvDKOYtS866T+dk1XCKe8/33bncZoweBhzfO38zwFWSZ4wc/FvHvf67mQ0/XJIneDBtpsWEfM+ebuaEtIV3T9qLyw/QZzjagODr/Rd9ozERb6p8/jFCtRu+SEHfl7Lq1+TKGIjdUB6oEcxmMng6cvKZFYXdbSD8RiH6P+oedvmGppmhYaQA/gS+8PeCNY5jOZhSzisOZ4dZBzfi+p5wKnZ5l9ylLEkFRt5wceoqJIm/vVzjGmSHrxGRZjIsMWcfR60dnZO/ZtF1mnD36hVZSdOsMcWdZoCwPjatfETTAFGNJ++fX1TlDfxgtHb4VNXUOOt2IXl+fubOg5TRie3PAoJ8RRNg7mHCrmVKn563/7ub/P9ESqUpAZekyHKzhZFpyXBQsCqGplzr4ZetARDQEUlZzTLRNYcFEitZI65Ha0C40x4lUdfh6ghBCMKSpUEXgS40KsEAbFAFa/WOWb2pYLiZw1nIQA9/xyZg/+ae6vPq1E954u08WpXzkIxXXP5STbHqNLVjOWhOBEYttLBSC8R7JIcydVsABoshjUovZEtxVMAHiqSAlUAuh8tgsorwlpNsBtxZUMlfoh5NcsNbitwVTelxiCJsBO4DsBQtZi4tBUsGOAubEIoNAc2zxJ4HFsWGAo7fraFxLOjBsDYSPPgF3T4Rfe9vxc98U3jppyDsQbYKdq/Hh0UwgN9RNoCwE32qKryyJ4oJSoIKDCEMUa2tQBCpvtA3lMiKbkvx/efvvMM2O+74X/FTVSW/ut9NM9+QAYJBBEGAmJSpaooItm7KtQFuWLdu78n1873rtuw7r9ZWfXT+6XsmyrmXJcpKjMimKlESKSSJIAASRM2aAyZ2733xyVe0fdd7uGUzAgPLd3/NgGtPzhhPqVP3q9/sGv8SWEwb9PqOJ04IQKkR6HmEzAOFsOKLS0ogE3a6l3rIUVjCMLcKE9Pua/qjAGgGlQRun4TidmALPUgucH1sUuV0GGlp1j9luSFT3KdEkeYHRhnYUUav5SF9iS9BZTH8wYjRxej9SOuzYrUTQdsl5PtrDemzvJIz6mmxkKUZvqtCMnDbKjRKU6cRYxva6FRpTul3jtKWhU94SAHzd75Hwgds9/t5fKHn26TqvfDag5SnuOjXi8HGH27khc0u49lK2LRhfcJO513DnFy1a6kt2N1nKdgRZzyU6lkqbZ9reqhIWq6vrMoFkXdA84qoETqHZUj8g8G6v2kiRO/awC9mOW6CyvkCnjvHlGe1KfRbCyHD7sRHH9o9579jj0fOKT70oubjlVNajlkR4ltIa+mPoj90xZj3XSrwKwPmm+yUq7I6lEmHLS4frUYIw9EgSZ644GTocjvKcg3opLdGcIO+7ST7qCtqzHvWGwhjLZKwRwGjLMF4zu9WtYuwqONGsGyC6dElUve7TbgXumTSWsBbQnms5rSZrKVI35qOW822bxsxCm/EoIx4b8vTtDaApvsJ577n5czwq2N7ImGxfh0ps3a79RuEYNRZ9E5ZYkUJz0T1nb8dw8uoDh4dv8/jbfzrnuZcDXt9SeEpy5+GMI4dzlHfz6+A3nW9WPnTVHCkrQ9ymJeo6sc1p+3ay4dpdac8ltMXEjRnlQ23OfU7ac0afZeqqPOAwgaF1SY+8wy2Mqmrz1uYtyZZjQCY7YrfdNoWAAPih5YGDE+6ei9leUjxywef3n/O5vOX8xhpzgrDlrkV/7M43HToNm1sFlevSkuclo7EljBRRpFwF18CgXzAaFFd9VtR2VYp4yw2YWlfSnHVJUnfeOi0dBIP1kuQKkoXT0zHOGqTuTrDVccKdu2Gh067T7TTwfbfpyPMSYy21KLhKpXtxvsVwmO7aXQBX0davFzdNeMIKrGd8g2cUUStilJds7eRMxtUDIsELXGnfWFdqda7pEp1ZZwqJa2sJ4xR3y0Sgx1VWZCp8hQRrnBaIiCx+wzl5FyVIpKsKsPdZ016+FdUspV2m43mwf1Hxsb8gufBGn9/4gwaebHHXkYjROOTCqub47SP2HxvS6CQIm0OisbHBxAYyl8QJJdE1l5gwDjDW6R6IyCWCJgPbBQpJOdJIq5B1gxm7HbIQAuYEKlawamBWYg9rlBGYIdi+QK87hH45owlmBKZmYCQRywLmLEw8zKYGDzqLwLLGBArVipA1g4okOoGZoebwsubDdwmeu6x4YiXg+QuGcxcV42GJTSRZAmUuMLlrJyHZW42ryphWltJzCY8UlkJDbySQKiKIGjTCGkW6TjIaMBwkTCYWiUD6GTIwCE8StZx6cNOWLM4pDh6KqM8ETHJLMEgY9wV2YijKavdXIdaNFRRV0iyAMnL/Lz2D5yl8JZiZ9ZldqFGrRSAtRVlSlgaFIM8yxmmG1oZCWjwPPCFBOw2m67N7rjPmqwfGqzuMRL3jQHv9FU3aq8ZaBUqdlqmxbvLzGw6nc+UKYUq7O5FdL6x25fKgVe1482uZFW8VwoP9iz7/0/fBmXM+//oJUFLzLQsNtndCZl/Meei+HfYdza+5DhaXcOW9qu3WcmV/nbvzlz67wFFrHFsqWnCJjE5dkpYP3KIgPffv+VBQjF0VqHHQXYx0W5D3XSIkPVB1QfPQntlofdkSzDjc0LTtpSKo7wfhV/YhFahYZ5bmsGD//oJvPSV58lzIV1cEz64ILq6k9LZca8dprVQVlZtcU+FBfVHsthwm44K5OdfWarVC0jinNykYbJcU1SJeXtG6lMphvzxfMLcYsHSwRaNTI09zRv2EXi9l0nvTAdhKsNFzSXY8NgQ1uWsLMfUE6sy3CRt75UnvTTYPptTuHhrjfO6+AT+j9rKzNBmtGqRyjKTtjYz+ZX1Vu2oqbnkrC+lbtRZMaZ2ZbkcQXyepequQCvYf8vi//1nL65cUP/sFQa0ecttyk3O9Ge5f87nr4HPMLGVXCWteGVOFZIBa11Km7poLtYfvwbox1z5kiTfYq5YKQZG619YXHVkh7Qkai5bmkq3O0QkWTlbdsxXOVIlQtSa3li3RjHv+054zUa4vWMIZi8lFNeadj1eZQmdkWFoo+c47FM9eCvnyiuSZ85bLl1OSWO+2HIv47THoitQSx6WjlQcS3/fIsoLhwP1Xpu6YvWAvmYjawmnSKUF33ufgwTbtVo0kzdnpjclSw2SnKmleEUbDaN3QWHCVnjwzu1gccH5r87NXC1PWam8a1HZPisRJQ0Dcs3ihE1W8Wdy8pVUAwi1MnhQkRc4ks4zj0rFiPEu9q2h2XfVgPDDYrDoIrOstZVVLSrr2lJUV0Fe7dgoIp8kTCjDuO7WGoO5KliJxC7TxqmoR1YBROFq1dO+zxrkrzzQkx5cVMsn4+Mc1K+uKpZkh736wzx33WaKWJYjAjzIoS4e5mICYCEQOKIFoW2RNI+uukmOiDGU9TKJBC8zEtfg8z7hFoSmQoUVpS/uUxBQW2xWY2GCGElEKpHY3pkwMUoPe8TAJeFrjdyz0XZXJZgZRsQTyRCMCSXBYoBZBoFxfR1YlQwGq7VFr1Yj2G2binCN3ab63DudWI/79b2s+/hlLnJboxKKnomZ7I2fvp3T3wSgoQ3fPSiNIJh7tRoN2s4YyE+K0T5bGVQJaCQvqEmksKlR4gSKcDWmEHt3lOrMHu7TaNdRwwoV+xsYoIS4MUlDZjrj+NtpZbmjhqkojHEur1BbfM4QhrkVRBPh1H18pQuXh+ZosLukPcrZ2JpSFoUglW5tO86EcCWxgsbcoMz9NNox2E108dpixbJrICJcUtRactkS8bShGFdOnuLbSU0ycsNbNZnSdWmg5HI/fdLveW10Bpkyv2w96+LHklz4rOL824dBsjQfv2OLu+1KCusXz7HXF6kzuwMt+yxJ090TaVGGvosqasgI4V+7r9SX3HBZDgapBvgO1JUvWE7ttLumxSwtWgXNVn7aTvIab6P0Kf+cqOi5Rkh60jlpkeH2AslcDr2aJFqGRar7rhOEjdXhjNeDf/X7Ar39WM8402Y69SvTxRiGV+04H8rXEk5LurGVuvkFZaiZxQZE5Svb1QnmC5owiqkn2LzVYODyP8hR5krO1Pma4U16VIO2GdQKEUw++Uc9Vg8vS7BqAJqOYoBZeY04LkI5TBpt9jDYUhRMbTEbGGYnWxLVYlRvEeMO4Ck/pgKcIp8tzZdISNgX1OQfoHW9cC1h9u2FKhxeKOpI8NteAnt8qajOSk4c9RCz5pT9U7AwKugi++2TMg3ddIogESpY3FWgEl9hM208qtFdOjm7MX2EOWl90x5gNBLU5Q7zhjEWLeM9dfcrInL5/vCJ2tX52QeS7HRGqNisEDUtzuWr/CqB+9fWYjvn6gqVbGpZvK/lIDd5YDfl3n/b5jS8YJlv6bflZKR+kciSNLDE0W9CoO6uK8bhk2HemVmXmWsFhi6swOF4kaLU8lpYaLO2bQQhXDd3YGLO5kZHf4J4a7bR1yqxiKJqM+cXAHYvW9IcT5rvXp2WWpWZ9c0BRaopS0+/lxD03D6tA0Dn4J0h48ngvkzKexpQjTOZ8kEAgfEvYENSaHjI1TEYlVhhn6lhIbGKxmfsAIwSlwNG0q7KuA8naimsL1ocyt5SFIAoce8RqAaVLPJCiEpeziKpXbizYUkAh8H1Jq+YxzCX//dOWXiLpdqE0OV99umTxoOHkfImMtPusKdBZ4+qOHQk1i5omVVKCFk5LZ1zuidphkKnCTgRlIfGXKxxQ37WQ5LKAXGMHDizrHoASYuHeO6NIXgUzMAQPgDghKdYt5auW2kkFswalBHozYPs1CFZhoV3itTyE8ACXjbsWnkSgQUn8doTfNmAz7jqe8b/+uGLnssdv/b6hSEyl+2LdXZ+u39b9J63TrbHKUhqB8h3lu9fLyM0KfmcLdEJWppTaGbp1ZoFcEo8NRa5RwhDWBPVWSNgM0FFEjEJZxeYoZ2c7ocwNgQdRSyCtJa/GQuh5CE8wtiVpZkmGAqRAKYsODGUKOyZGlCVJnFJvhARRgCcF2cSwvZKxuqbJtSUvDMMNQdK32NhiGtyykeJkzT2kVrvqRdlwIoJTSrmQ7qFvdRWTkSbpOayGCiAbX+cD7VtTt3VWVUh8V2FRoaCI7bUiftNTuGIeERIakWI4Efzi5wLG45z9TUmSF3zm1YilA4qjC/m14mtVyIBrqL/TypUeC/xW1fJV7jgnlQFo5zb3+3TTHXvrmEWnLtnxW5V2T8V2UcoZk3p118qJ5qB+0FIMBaM3XBXIqzu9ERUJti572DVDe0m7pOcG102IvYUA4I5jGf/oY5L1NZ+P/155y/RhUzG2pgvSoFdSlmPqTSdqVFZ6Oko5uwddOqHCKaah0VaEkaDVCpyLeBXjQUxvOyNN3KJam3VzzrQF6PkOuGqsY7zmGEZ95wtXFJo0KxHS4YYaM0380N+1MzHa0N8csLE2QWvHGOxtliSblZaVsITtG9z0N8XUAwlcZWZw2ThZiGqcCRxLRvlV1UHxJ054rIV0ZGnVBfVZsUuTvpWQEuo1yWQi+BefC9nq5czVQAnNF171uP0QLHWLG475aUwFB90BsYs7mSZAU2uVyaqgiAWdYwblO1FAMRS0Drg2dbwhqM9ZisQlEdPugxc6HFU2dG2v5pLz4ppsCNqHTeWdZpG+INkSxJuuwnPTJE244wsrpuUdR1L+0ccE29uK3/j42+sNWuOA7UnPMNgq0doyaZbkuWEy3msT1WcEtbYgHbnEotZ1FcHubECz7V2RmFj6g5jtrdQxHBsOlze9rkKwy2rNE6cBJHDJdn+nYHbBtXJ3+m7im2k3UEruzt3WWtY2+mxsTChLJ20y3C6ZbJtdccq3GkM3TXhsYXepvaWxaLQThRNiN1FIY4P0NGVh0blB4swgTV4JcVkqWqt1Krqq2kVX+BFKUSUXTrfF4kqFpWeJlDPKs8KiqtcFPsy2Aog0MYYkc0J5QinecbvHX/l+jwP7oN1UtOqWejPDWs38gqQxVyAigaOIuZVeBMB8Vcq0xk1IUiAKCdsGuwPSKGygEZE7TrRFGYPWAlmzkFpMbJG5RzwR+NIghcVrV62pPlhfYGedsWUh4dXLglN1i1n2EEmOJz3ysSV7o0RZD79uacym1B+QrDwjuPSIZfZkQvOAjwgihHTmhdgSWzHGBMr9Tkq0FTQ9OL5oIcGprgq3SMlKpNAa68A71Wl5xrGmtLCO/SRgmOUkOz3CxFUgpHJtCKUMM52QBjXWbcJWL6NIgVbh6PIiZFJoNgYFm+OM1c1t8ASdlk8oNR3rodFMCkPLD5ibaZNLy/nekMu9kjRzQOUiF0SRG0OjbYh3CsLQ0GhltOYC6rWQuA/rrxs216AIJFZZksTZMIjCFQPD69CLrzvmr5gzdFpVX678d+N0LHqbJbpwQGUhHKPrG10ErHE7/WjOafrImgNu63QPRxS0BTJwx5f19x7s+041+bs/EHJkoaQeFNRDTThvyD3L/NyQqHVj7A5cnUxY68DB6bYAW8lMVH5F2GohqKozpoD4gth18U7W3U4xWnB+WtmWIxlM1YyNETx/vs4dcwnRggHjdtQ6F4zOChoHKyG9jmV/vWD4hmDwqiCcg2i+SrreJJx4zXW0UA8tJ/eLPcbbrVx/7QDltXmxS3Md7pSMB9rhv0KBVIKwJunMegSBYn0lI65o06bCExpj0VozWO+hfI/1Sz28wBmMFrnFD9yOtiwMUaTozoVYC+urCYPtEqOd/o8uXdJjtGVnJ2E0ygk2xtQbAa2ZOmE9JBknrK+M2biUVaQP15rQVyTXN9IPuum1sFxTbbE4gctpa+XKBOlPEsXEMbz8mqC5KEn7e3RmIVxVSUiXGF25kN1xT5O/+wM+J2cL6l5KFFnqC4ZCaubnUsI3VUfeKnQGRSzwIntN8q8CSxFLx+AyMDjv7CeEpJLNgNYhg19nl9I+TaKsgTMvKQ4d0K46VFU6dSoYnJPMHDVIzyUvQdPSOyPZ3nLEmClV/kq/qxtFPYJji/Jtt8KNhrTvkoXhqqZIDGn32klsZjbArxzTexc0YGjMy11hwiTN2dga4Psem1tu1+cHEn8OGkeUS6RGmkZLsbBQp9SGjdWErQsFycCdexaY3USxyA0XLg5YD8fU6z7dTp1aFDCOU1Yuj9lez50pryfIrhgbUrpNxM3i5gnPlRewaqHs7TLdrjcdOKoaxk3GSjl8i56WkivLAwS7s9W0D2yhwvYIB2DVFoR0gz6w1OseM20Pz4AgJ00NtVBR8zUqcAlSaasdU+GMPV98OuMFLei24f3v8XjX+zRB17hdoF9lo+KKm6oqPxXthAWtlIg+mA2NLKVzv4hwYn/SYIYWOfQpJiViSaJaGtYEIvbQsaFR1xRDBYGCmgNqmxqI/QLraaRRyETy/DlB9zaPo2ON2iegawjnQZzzGScecmxpzJSI2OIrg5Zu92ytZqs3YWvH5977NZEqsFaiWgJUSZFBnihePePxqc8Jfv0TBUViENad69R/SMhqca9ctq2ZUtMBXeVBgcRYW6nEWppNj6gRoIUhy3NCZVhoNIj7sGNy8kwQjw2eX7jdr7boIicpE/IypdmpoTLJTF3RKAymTIkKy2wnYm6hQWwN2yZH9SeY1FAoSCfQaCqCwFIWMNiyFENNFGpmDgj8yLER1s4WDLYstmbxu+5h0KFL2lUgqDVurcLzlmHd4liM7Z42B29DjOwGUSTOx63WkoR1N5nYvCDeqhTKo71KjC4cFgag8OB3zwTY0z7dmsefuS/lfQ8OUOHbm/10DulGlfhLp40Tdl2yZA3Eqw6s3Dxs8VuQbgnKCbv/nvVccjRV9w26FTX3iuv2+CWPhvRpjnOieYvyXGUoWRWkqYISWl1Ho516HGU7gBVMepJL4xr3PjjBD9+0IFuHI3rjdZ///sce//nTk2vYcu7EuGF7S6cukQxnXAtiqjnU6LjqzfQcpBR0OiHDfsFoS6NTS+wbfF8wpsAYS7NpGI1y0rR0i4KC2bkQ31eMRhlFIZibqzG30CHLCybjgv6Gq85EsxCPNa0Zt3kxxtLbzkknhiBKmF9MCEPFeFyyejZjvG7wQghnXUKsIseCU75L0P5HRTa2u9iQt4MPuVmYSqDOj5zScnefYPOc8ySDCh8z53wBRytml8JeIvjE6RBrFDN1jx95MOG9y/E1jLK3Cqsh7TtIxFS09EqD0XwoGF4UtA9ZgpYl3hKUsatyWesqPcp3+Bu/bq9Lef/quuQDnqV9xLG3VAQzJw3pjiCLBdYT1Jtmt7CgC4f7wcKwpzibBbzrvoQgvPai6xTOnPb5j494/NrvxG/pTH69mALGLU4zJ2xZgpqk1fax1jLoFUglmJmJiMclfelYYWHbsrOV07UBUV3RH7oHXyrYtxTtPmbTDUqrbanVfQ4vz5LlJZNxzrYssMbpP/mR8+0KQklRGHY2M8rcaa4tHEjxPMlkXLJ2NifecVYYrSVJ1K6SHks1z98cxHZzaardo3b/L2yVlFSg4akFQFlJtEvpdEhsBY5F4CooBoQRzgIBXOZ05VMj7O73WWNcLxmP+UaTE3NdQqvBbrM5iClKjdaCQAh85SZN6QtKbTmzqonHTixvX1fSfMNw+0MKxoqmsLQCW7FFJbZKwizW1UYkmMxitix26PqBdsYlVSKyCOXUgmXpDNa8Ywq6FrENNgQOl8jLAlMXeLUSMauchUVdYloaz9NIKzBKI3zB8rLl8TcsR94loC5AKYLQw5zIaSjF6kVFo22RbctC3TDeMdQWffxOQLijMYXm61/xOXrCY3khwww0IpL4TYmqwYkThvsuw2e/HCDWC8gceMICylOIwOkrOXo4aNxPqXFeYtVtsbi2RxBIWrWAIApIdU6pQQlBM4iIPIfK1ynEfbDakMQ5SV0TtgUlmrKUlEbgCUUj9LENEHFBZMCfVegZS5IUTExBnrlrXRhBElgmNYM/51oiQQrZANLYkk5gkhpGvZw4cTYishTIwCIaAh1ZSu3eV299A2jOGz0W+k+e4FwTxnVZu4sep5ZniJTkCXa4sJM5gbKc3f5+0HIsR2vg/MWEflKwMBOw2Al5csZw30hiY0GzbvCuM1FedS5VspD3BcGMq7BYzW7SAY4tVYwdfdx30lV4DUvndtfikr7b5ET77G5b6M2id1JZDsxpHj1X5/ixnGihwgrVoHHYgjBsXA5otPQuhideFbs0eb+jKd/I+PpXGiyfyDiw7ByVp/sovwVHjpY8vAKf7XhsrOqrkh4ZOAbVm/2rrowidlUVnUF9QVCbFUQ16TrblQKwEIJaq0atniIoyMcglMUaTRAZssSQJOWudghUwoJSEIYKQUialUSRT9ipk2+PnOr4xN3jdMeifEMYSaK68+oKI2crMf3sNCsZbDu8hjXuuL26a+/5DWeH49cF7fbbzADeIr6RBfVWoj3jc/xYFwCrd7g0ypwgXe6WHi8QDk9WVa9WLySMxwXtrk97xvLFtuLe+ySqEjp9qzEPTgdHp84AVIVXM6OgqmBuQfuwS3YAoo4l6jrDUK/mji+acW7m1wsh4UjX8PU3Qu58aM+XwoucorMxsLOhqNVcpWfmuCFedxUeFUI4oyneKHjs6y2OHos5sFiirniuVAiHD5W875jgCx2PzbXymnukPG6dBVc9TDOzgWMZase4klIwP9tieytxLVgNkw2LnTds6YwglDSaHnluKhNQiR9Ims29g/V8QbMe4nmK8SQjz/bEOvORJa1b+lHOwr6IqKaoNzz6cUGW2wqQXTIZ6V01ZV26RKm5IPFCQZG6SmG9/idJeEyV6djqp6mwDK6q5a5QVSEQ1cuMwdlhKwgakrDp2Fp6bFDCJRd2lzLhPtdVetznCuFeoY1AKZ9WvUlHQS0cInFeTEUkaArY3/LwVMl66t6+1Tds9RwWJQoVL5yDr78mues2+OgPKlotUyU5FXpcg0BihEHFFrstQINaUFAzrhwvnEqyiQViAlZa/KMKmha9bZGxRC5qTAh2KJDLAnNeIKRBZFD2wV90HD/n1C6wClrzltNvKAalYcEaoAbCRzU9bJJw+FgHIyXC16ioTrtbUgwLzDAj6oaceNjSPlfy5a9KXr3sceyA4OE7LQcOltRmfFr7PD7yAwX3vtvnf/tpn9/+eEqSaax1GCsv8jBWQ2Fc71NUwo7aVYFUWSWvalqos5TGoErtMAfGUuaCLCnJMmdqSe4SjMRaJxaoS0ofysJhUqyJCX0fNaMhDIjaDWoBFE2PHZtxuT9mu1eQx0Dm2qD5CEa+K6e3ZwS1GScKSVZpEQXSpaxWULYEXglGOMaXiCyFFNS7kqjzNmVnv8GQHvht1456O15G4CZQz5Mcqdfo+D7PR4PdEokuLHVf0eoqxn1NXFUpx9ua8bbmssiQasSzZz2+fDbknUdD/ur3JCwefOvZTgWucjNNcN7s6yOUq8RI39HSpV/tZJWrBEWLlskFpy9iclfluZ6421xdcikJ0b5CiHL66+r7LPsO7skVSx+nsFytJX4T9t9T0FjTfO7RGv9+1eO2wyXvv99w6IBB+Zb6nOV7vqfgoYc8/tefifit30932y9T2n/QFtfVQwJc4p/s3Quj3Ri8UrPHWks6dlRYXbj3ZP2qEmYd3scPBcnEkMVu5+6HAqVyPF8ShIogVAglGO+M2Fwd0N8qKSqwqSmoxrx21HfPLVrdBc8xGKt71JxxE3vUsbueYLbS/ZGeoDEjaTT/xyY8Nwohnapymbx9irk1rv3RaESEgUejNUIIpwysC5fQtbseJof+ZYcrGfdLxv2SNVKEhPNnPZ45V+OBI5Kf+FMZi8tv3Vv2apagye7z9eYEXSjoHLVXiQ7KqsKqIoe1GV12IH6jQZTXPjcImJOCM0mAza6dDKSE+X3l7t5fetA8sDcwg5blyD0FM2uaLz3p8ytriuPL8N57NEcPlEgPajOW7/3OnAcf8Pj7/7LJJ/7A4Vumn99YlIzXzC0lq7IiEBS5gYZyosK2wsqMEpJY70pr5ImluGypdQTMQZ7t9VKz1Ow2dpptd1GUlLSbNeI4Z2VtwGCr3JU2sFCBjsHzc7pzATNzrsKUpoZG07m5S5VjjXufQDgYjHSCg9KD5qwkfDOj601x01VA4ETolBRgBVpbtwiWV6TCU+CvFRVep7rYkaDW9YmagmJckBduEZVGOCq5mJ4qLlsxU7CXU9pNspJhkjEcjKjXfPIix2jX1piklpPNiDuXOoyynEcmfVbGjvGFklU7xmXKH3yf4vs+kjO7D5CiYkBJrC0r/QmLTCXF0CDqDjxplHGVKSEQ1iIiEJ5EC4tsuvaXPe9aX2LJQlOCBnnEgg+mLhBz7pyUACNMJfMPNgfpSboLIQePSZ54Luc7bvfxPB9L6EpiZQJmgmw0wSYgMoQf4M9I8p0Msxojm4qF4/Dd85a5rxn+w8clP/9rhm+6V/HR77Pc+4DBa3gcPSj4Z//YUGaK3/pUSYkFofB8zxXrcuvYdFW/0tmCCIIITGDJqkQoy6HQBaH0nCyKheG4YKXYYRjn7iHR0zalRAqDCiRFbkgGFp1IBAYblAyVQYUW04gwvkeOIh4nDEYlSWzcMWnHmjNjSyJcddBTlkZbEHarXbqnXastEoRNi689lqNlev0JW0mP1AjS3NKYAa/59io808lrKhZ3SyEdPVmFYGrCseLeBq4nH1smo5ILk4Q72ooyN7vfXSYwOxfw7pOzbE4yvjraYbx+9SwmA5hpSb7rfslHv31Ce+7Gs9wuQNOr/MNuEl7lIZRuCLIdaB3bw/ZEi27SUbUr7BFu0D2crcHJ+ZRHngv4yLLe9fSaHs+bQaZOdsJVj/KBY8u0lwzf+10xR572+LlPCP75fzN88/2KH/t+uPsOjedZlpZKfu4fSbQO+O0/yCsclMMAenVQY66ygnBf5pIq6Ytd4GqRO1sT33fv1doy2CnBxoyH5Z7OjK3kCQSENeeGPhnq3XunS8vQK5EyZX6u7tgohSZPJ4yGOdnE7FWjrFPwdotgycy8hx8I8OzuhQ0CRRAowrDEU5LufINhL6HfzygLSxobGm2F7729lpao/ng7LSuBE52L2oJ0aBlvvL0yUD62jAclvf6E2W6DZFzuGbwa6HQDTt7WZbSU8+xoh3iw9/muWi3otiXffZ/ho9+a0+rc5PurdtxVjKkbnVel/ZT2HE6tsbR3UZr73frl111Li5swQI8d1Fy2BV98vcZHDidIee2YvxEurZgIVGCZWTZ890zO/uc9/vWnLP/ytzTffK/iL3634L7bNFJaDuwv+T/+gaEsfH7nM7nbpCqnYhy0nKr19e6rrF4zFZG0GrJU4xR3XQFiPCpYXRsxGZVXq2pbEFcYjOrCko1s5Zkl6fcKoprC850YYX8YM56kjEcF6eRqnSBdOkFLIQo8T9Ce8ZlbDN0GoqLDd2cD6g134xbmm2xtTej1MqRyrbhaU+HdwPB0Gje97YGShFFAu9GgEYTkacZgEJPn2umd5Jpd+xZtXUXIAp4AKShLTZlKx7KyrmQvRAWiVA7cbK3dre4g9haaLLesbk2olYa0EZJmzvcJHK2122jQ9btEYsJCbcKGMWglILDU2oJv/5Dkb/+I5YF7NbW6QkqLNcZR4YV1wOrMI48NUleeSHWLEU5W31b6LXjVZIlBRmDHHpNzDrApjWbuIEilESJA+AKdl6h91WulhVwghHIJYayxJsBGHZJaxs//9wmq7vOOd3ssnZwgvSYWydpGk9lmTOSlEC1izTYblw1Foek0PVAa2Xe6QfX9AR/8NsXdd2t+/wsev/Trhj94wvBn/pTPR/9MyNHDKTOdkr/+43X++DHN+qjEb3g0ZlrUJIzkgKRIsdXkLQKLX7O0O8IxDKxgkFiywjJJDVFdE0WKMvDoxyWXRmPisVuU0LikUloaHYnfgtEY8lhAZpBSoK0lTzRZljtfIFEiS0VRWrSQeDWJrBu0rmwvUjdGEgQDzyKUIGq4h1kbC1rj+YJ6U9AOAxYbLby6oowHpKVBF4KoIQn9W0x4hNPDqXUFtaYkHToTPF3pBu0C8a//Vox2IOm3lShNH6EcNs+VPEuP9X0Jk3hv0RQClroRdzRb1JXH892BW1yqdTCaEXzHB2r8P34E7r3HOUm/OSwOt6VTmGoJvVVYXNUjXnM6OuBwBiqqqjNTHZPFa8HRVUcHW1H8ZTPhH/6WIfIt73mXZHFB775u9YLP3FJJGO7t+gYbHrkW1OvaAZwzgc6dTsk731fw87dJPv5Fn3/1yYzffxL+wod9/sr3Ww4uazptw9/5UY8vPKro9TVBAzqz1eRiSiZrVySjwlWkmotyl4WVxAZrrMPOdBWNus94UpClmvXLGenIXtXWFApqdUmjLRnu7N23KRAzjQ150zAcZTSbzom6KAwWV4r3ois+z1Z0dQHK03Tm1FXXtijcszQ3V8P3FXMH56jVR0g1IMs0zbbDP8rrUNlvFF4AjQVJraHIY8uk71qCunQVpBsNZYtLWvyIa2xVbiV0CVvnC6QcMJh3ejK7Y14KZuciZrtN6vWC9sKQZJDvHkvYkHzHhyP+0ccsd96eI2+Q31ntElyLuKV2F7jXj9cEyaa7huEMu62taUJfm7/xZ02Tma2W4J/8+oR2U/LeBwTzc3vvWV/zmJ3XBFfYvQy2FeNS0m2UeKJqn5eOtv6edxfcc7vg01/1+bnfLvn0E4Yf/FbFj36n5ciSptUw/J2PKb74qGQwdGyqqC5pNBU7KyXxtrnqPirPaTCpwCX52ciSjVylJUncutnqePR3CrbWMiZbV8sRqEBQ7+7hcuMdl/AAWAz1rmQ0dDYVxloGo70qV1AXpIOrlel1AeMNi/QKpHQKzP4V2j8ICCNJLQzYv9ghijyCcOgYW7khDCW16OaT2k0TniiA0LOEytKqe0Qzdfbvm60Mv0oG4xHbg5HTeSlc9cdYsMZic0sxtMjEYnLnyi2la+dYVX2zwVHTsWAkQhnCyGN2ts4wntAflbyRjhnVUwplqXcEBQJtDRu9CV0Vok1KmTmOkhEuW/3wu0J+6iclRw4WLgMX5W4VSWeSpAfrq4JXeh5H9llOLBmwGpt6EJWYXCCQ4BlMoWBoECOJyQyTdcvnH5fcvk9w8ATIOYuNJUIbiBqQ5cgodcyJCh082gqQnqXhGUoj8AmYW8gRvmZty/DUyx0+cpvFEgEZzQ688FzEg++MUX6B9fbjBzv88s8nvPhGzmxH8tc+5nPqQUA0UMGYxUOSH/rhkgfeFfH/+mclv/irMZ/8bMp3frPHt34w4jOfz8jzEuULokabWqONwVDUM/IwpygcsNnt1gVRSzigXGoJpCDPLZOJpRaVhKFPGAQozzDoa/KR3JUfEJVaaWM2IFcZZeFaZFRJZFk6g7oyKykCMFYipUIIRVT3mVmUCHJGfokeuYTRFpZiBBPfsRyEdAZ+4CQSysIR75QnydUY1SiphyGhlkhtCUKFf4vVfb/hWEjSE9RbknZXIo5UGkqFZbitGayXu/gJxzh077UGp/2SVBPsLW52hQcz8z7jYUnas6ykOaN+ia5oo/nQfdfFjYRHm9uMyj0BPHDJxDe/u8HP/WTJvsP6mtXJuRcLtld8Xj3X4OSRmKWj2Q1BnlZXelixA/COVgSfe6HFQ4dT9u3P8Rt7FY3pDvXK6owFJn2F7xmC+h6LojMDwjOsbGsee7bG932bmz0F0JrTPPtiwMPvyKhIoMgAfvZXmjz92pjlOvz9H7Ycv6dqhUmY2Wf4y38+5/3v8vhfftbyrz+e8dtfkHz3BwO+7/0+v/U5yPLMqeG25S5rKWxIspqmqGQEhHRJbqOtCGuuHUU1NycTQ1QX1OvO6yqqCQZbhmTbcmVn3oscTswayN+0C0awmzxM4oIkKfF9RRBIfF8ys+AhRMlkyzoJhCpZzoYWGRj8QNC4gmLuSv0lnieZ6ardc2i3w13skBQCv3Zr4lPKd9gfPxI0ZhRLR3yK3LW6s9Qw3CoZbmrnbG2urQDlsaW89PbE7oSA9kzgdvsjy+WXMwaLzsrCqwmKxJlYrl2OCcJttHH4EHvF+z/43iY/8zcKlg6W11ZJLGRjwdamx0sXI04dSFk+XFwFSr7q5RVtGuFaslunJV9+PeTB/QUzswa/Ya96zfViMpR4yhLU3EKuAujMON23zUHBV56N+P5v2Wv9NDuGZ14LePjubM+Pz4ef/vUWZ88MONjw+dsf1dx2V9WXFdCctfz5j+Q8fL/k7/4c/Mv/mPJrn1Z837cEfPd7Aj7+ZSht7kQEG4LuXEBZGOKOJhlwFQs1bAknrMu0LQnDFUvQcGDlKZZm2C+Y7FjSN5siR9CdC0gTTTzRjr3rT9uylloH4omm1bZXsadaHZ+yMEDJeONqL7YidSrRysuRSlC/Hgi5mh98z0NIJ5Tr+Q7k32reXGH2pgnPQkcilcX3E4woMNLHUwHK1vGiBp12jcWFDnmRg7EkcU6vP2EwSshzMDGkaCyC0KNKAtxPFNhK54BpNyoUnDjU5cMfepBP/fFjXLg8YJJafGkI2pYgMkSlJB0Lzqym5NkmNSnojdx3KOXwO+Os5ImXJCsb8M67De22pMgFG5fhha8Lnr+oGLZmSecs39Tpsz82rOYek8xyalm5XYA1bG16DDbgeFiBlErFF14yvLIuuedOTf02EFJiXzeV0d8YMQv2ACAF0kA5gM3XJEffoTEClCgQxMzOlRzcp9gcGX73s/Dt3+MReCXaTmhEY+qiwcrlBgdP9JDeDJ35iPkDJa99TvL69pgXzyn+7v8l4EPfllFv1EHlBH7JvXdk/PQ/jfjHPwV/8Ec5v/ArBf/pN0vivmGUgdc2gKQsLdoajFDOxl46EUVtocSSaUsxFqRJVdp3t5i4ZoiiksKUGGMrnzPH0sO6Xmq97RM0FJORq3h4gUR6Ap0btHFMMJGDyTTY0jHjPIVSAY22h1COopzuGLKhRqeVqWJpyWJLPBHUPYvnS4yw6AJC3zFTvMASSEnNRBRGIHUO5LeswxPNCvxQ7i4w1uLKsp7E8yTzi5Adc5pTunQCbf2NnLhndh2Wr9HPuVkIOHg84vu/4wF+87PPsHY6pYxhsm0JO06BuUxcVebyaxlxUqICGG5dsRNWMCzgiWdrHF6Bux6Y4Ndd26+/6fHEczWevBAxFG36QvHjnTW6ccm4pxgOPG67PWbqej7eUsTrEIXGqXJb+OIrIadXAz5812RXcDC+XImG5c5/K+jsnZLJYeuyz6FTrm80rSTNdwxHl302eyW/88WC7/omgV8ZOzZbhmZkWFtTLC25RKjVKdm/r+TVLxR8+fWCV88G/NRf8/nAN5X40R5g+bbjml/+Rx5/56d9fvfzGb/wRsl/+oTHuK8p06pNPZXGsA6oL4MKZAC7ukNpYsgzSCfu2mU9i9eAODJ4fr5L0LBcncxKzylyKw+nz2P2JvBdijJVQmCd7k6WlWQ5RKGHCSwzCx5+qJn0Ddlgr9pjjRO/jOryKsAqOF9Bz/eQnqLeblCkBbrUV8ii3FoGMnN4r4KUTDTttk8QOLbMVPo/P2woUotEMRmU9DZz4r7exYa8HUCzAA6caPBnvvOd/PdPPM7W5cyxk/qW9pIkbDlqvDWw9npOmgwIG5LBxtX94UGs+crzAXdtK+44leHV3Hwz3JZ87aWAr51vsl00iEvJjzQ2mV8oGfUUo7Hi+LFst20V7wjSbUH7kHGfYQSfP+NzZtvnm09ltA+6TdZkVRC0Id1x1Z0rVctNCcM1yb4TLvnaHfNty4F9ipfOaj7xRwUf+RB41X1sNgw1X3N5XXFwvzu3mZZmqZvyydc1Xzib8uwrAf/kJwI+9IGCYAqOFnD8kOHn/67if/7ffX7/iwW/8B8T/t2v5qSxRpcO84iE4aAgz5xFhlROdmQaVw4PU8Jky83zk22LFxiSiSZL9V4R4033sDmrqDcUo6HLohrzkvosJH2z20LT2jIZl3S6e7srKWF2IcTzJV7gqOnJzh7OSJdOfLi3lRMEkWuJGZhMShpNjyh06qjNesjCXIveIEaXDt9VlDfHENxceFCUCBRGlQStAtlMyTPLaN0jn3iEXkSj3qTTmmGmUcdTgkk8YmVzg9X1AaOxJckExhiH26l64RYqw05cC8SCEpaF2Yj3v+MEZboFJmNfQ1GXCitKjIVSO8CzEYJeDIEqOD4bsNiR5KKkh8BKwfPnNZ97QvD//KuK0JecewMef8Tw1OOSy4lH/dgczdkGsenxxQuSr51X5Mbwp09ECBVT9g3JdsDpdcOpOVdaNcrySh++uAkfua1k+W6LP28wsQNPWQEiBuEJ1zIDBILCKA7eb8l0yVNfC3nf+0osOY2G5eghyROvCb76+IRnnmny8EM7SHyEZ7ntVMzXn2qxsJQSBT2EjFjYN8baGJPB4y8a/ubfz/lTX3KYnYcetjRbDhx2/GDCT/3DkM2Rx1cfy9nYcpYfU1GHLEvxMoUVBmP11ZgqC3EskQJ8YSkyS565nb42ltHAYEWOsYYstbvWCu4pEAjP4EWQFgVp7Ha1SlmE78SqRGnxpKRhAjzjSvoWCYVB2gIoCSOQcyFBAJMwo4wLlIKw4So7gawEp4XB891C5vsezVYDz1MYZaiJiMAqrPFJk5jh+NaFWXThwKdhJKnXPfJcs7WRkU4ce6bV8eh0AxrtCCkF8Shj9VLM5nlHqb3qmtwshKM9f+eDS6TDHbKioNYVSM+NKXC7pSmrqJhY+pc1i8d9usuCHV1SxO51r5xP+K1nJP/8J3JUCJsrHl94rMaXz3i8PtC09tWIKgPK//LKItFrzuz3Rx5YA+H0d8aXJCtrIYtzmWP9zMP5cyFfvtDiz51KmbutxGu5c/PbbpKM+1yz4zW54MDxjDyHrz8b8YF3p+5cm4ZTh3yeeAE+97WSp170edcDmumm+fbbS77+VMj8vMH3XUtn/0zusIMlPPVCzg/9w5KPfDjgL/0APHy/Iaq5Z21pseRn/55kox/wla/m9Nf2trKmcG7yWWpRqhrmVy7QFmcbIgzSd9W5rG+dCnVh8SK3YOiSXSn8q26jtye7n8bXX/mFELstJuVJlHQtrTR1xykVtLqKIJIMQ+30naQr/Yd1ZxkhxNS00i0mvq9ozDQRQuBHAbMH5inSnCxOSccpRXZrgjnW7YGcCWTLmUaWhWV9JaNMLX4oac96tGcClvZ18H3F+saQyxfHbF4oyMbmbWnz1FqK97/3GDvxAC1Kwqq6NNUTyoZ7D0+ZWQYrmoUTkpn9iv6qqzRh4fSFlN95usmH3ukUldfXFH/49YgvvCRYGUkW52sEgasQfOLZWb70SptUS/7cgzsI4VrI8YZge0XRWXDzFhYurvo8crHBj90/oXPIOqVlnEigMZAN5TXtLJ0JFo+UZIXghVcUD99fujFft9x+RPHMC5YvPlry9CsBD9+ztyjfeaLkK08H7JtzYx4BJxYKl2BYeOaVnB/9x5rv+7DHj36f5OH7NWGlbbW0qPmXf0/wsZHHI48WTPIrxnwJRWxJKnKDS7avPuZsaJGeS47inb1KSzGxTszPORy6TcKbwOjCc92U8bisqjXV7yXUZyVe5PTawlDSqoDLe1sMN9Y6XZ8wUmx5GX7kKoXSEwQN4fSvArFHpJDOYkIpSadV3/2QbqdJu1mnKEo2tofs9EY3HXs3TXg2tERoS+S7iSBsg0kt43XD1maOLWKCYEi95tOI6jTCgDDwCWWde0608XyPyxs7rGwMsGWJL3HKulQOzoHED0HVfOqRx7vuPMaBfR6Pnn6JmTlFdzbA82FzMGEnMc5aIhcIIfGU4ehyi/fetozVmucuXOLJtYQUi68VH7w/pJxYfvXzOY9/ybK+FVGr16mfahAdqEEtpCgFG5mHr+Cjt/ncf9Qia5Jsy7I6NNy+YJlpaogk26XkC5shtx3RnDiaU1typX+RAS2JnGhMS2Cb7kYIBEUsGW77zPqaz/+hz7/9hOTUYY+Z4xql4O77FL/y+xk6l/zsv0j4yz8ccuxIxtKCTxiVLB8sOP1cjbvfO4YQHnpQMdcVvLoOJpOs7pT8ym8YPvkZzbd9UPE//XjAvQ+UBKHP4eWc/9uP+7z4gmZry/mYoQzCKopCkIwKjKiAl0ZCVQavRwG5yRntCKS7VZjSOiC4B0kCpdUgLKYQznPJULWzLEFNIX3BJNakMU6cS7kdtYgqc8/SEfl8IZlrtKiHLYbJmMKkGGWZmAwrS4KawFpBGTkMVq0uqNVdWyGILASWwoIODJ1OQKPeQgkPVeTUPIdMFCIkCALK/vCmD8KVYYxlMjTU6pJ6zUdKwUac0zunsVazGRaEzYx6KyZqKMK68x+646EGdRFw+ULM6sXMTQTSVWeuxIuowHm+BHXBex7cz8Fui8+cO09rTrLvkBP52t7IGA20c3z23Y5HSDh6W40/de8+cmN4ZHaLV5+LHe7NwEfu1iRjya88Uuczz1rO7mTMdAXtxQ5R5cdkgZ5RRFby5+/e5J67Yjf5J46me+BgSvuoW+AnQ8XvvbLA3Ytwzx3b+M09YGvQtRRDaBwU+K29a6dLGA8krTnNZ78Y8UufzPmvRwQz+9zkev8Jzb8bWXJl+d/+C/xkP+K2IyXLC4aoZljeV3L6dcWdp0oE8P57NMtdxWbVlh4MDf/tkym/8yXJR77Z53/5EcW9dzvl8YUFwz/8Kx4/+IJk+CbvKmMsg20nn7CLG6zOJaxL8tQQb9g9FeEpcLZ0lPxEOpCl1Q5fc6U3l193Plp56lpA05CeS1B0tau21hkIz3YjavWAeJKhtaUoDHFcVGahgo50TDwhYWbOJSBR5NFqBcgqUSpLQ6dbI6jtyfJKJQkbEWEjImpkDLcHtzTehytO16S5KHeP1VUDoHfJIVm3/ZKwmXGhFRPWFF4ItYbizodr+NJn5dyY9YsZZWZ2sWK7ixuVinhNEISSd73rCEsLXb7y4gvMLvnsPyp3x3yWGsKWuEqA8ODtNR58aBlr4MWX13j92QmmcG2S77lXUyaC//J7dT7+NcvmROP7ioPLMwT+3vI2yD2SUvKxd23ywN2xS/IngnhDMLesnf+VgHgo+b1nujx4SHPb4YKgeUXr2Hkj0z1prlJDNiUMhpLunObzj3j8209Z/sPfU8wsapRnefhEyX8eWFIL/+//LviJ7w647YBmacFSjwzHlzSvnvW453aXNb77LsHCjMeWo5gwHGn+6yc1H/+c4Dve7/P3flxy9yknirk4b/n7P6b46HOa8fgKQLd1GkdBpT9m9V7SIqjGfGacg/mbwuI0eXTp2FZl5vzrroygISiNob9jrru5Cypz0LK0lKWlVfPpdpr0BmPK0jgNPa0JQ4nvC0wk8Cq9q2kFqFZTV7XKlSdo1ALC8Oq0RSmJUgFL+2ZY27j5mL9pwiOblc6DglFqsQMBxjLRkJWgJ66NNerlYCdIKQl8QasTcurYAe4+fIA7jhxkNBqwtTPg8uY628MC61miQNNcipjZ10GFNebrHt/9zgcZ7VwgCzNky6B9ifENMjJ4WyATEKlFeJpaoDi0r83h+QUatRAjUy4MVrgUOyPQL3y+5JFPFmxcNujMxw99uvNt6rU6kQ0QqYdHhPEmfOT2nG++NyOoCdCW7VyxfMBSa1moSUwQ8NKLAT3l803zI5bvUAhVqfOFFiktJnEiUjJ0lZQ8VjzyactTjyruvcfjv30q4fnTmtcvBzx0Mkek8IH3hRw7rnn+fM5XXoZn/2lK24cj85ITy3DHsYLF2ZATd+bUFi0HjhR810c8nr9oGBiDLl2baGtL85ufKnn8yZK/9EMhf/p7FPsWLJsbgsBabGkqOjoI30cpH4vEGomQEqFKkAXNWsB7P3CSl16/zOUzQ0zsfH6UDxX5G4xrIekSZwuiBVOWvxOsCwhCRZ6WSOmEtvxIEdQFFh8zKUhTzY7JKXxolYagFrDYaNNu7CPJS05vXCLNJ2Cc15L1XMncCIlVEovbIQdeSagMFkE9DAj8ACUCrJBIrwQfPAlhVCOs36KxUBXWOODq1naC1q7iYx3Ui6KEYmIqRkrhdjIdQe0en3ef7BIcmGPjgYxLvQmvrI7obRekPVdd6C75zC05sa52s8533vMB4v4aWpzDDwRhpAhDRb1VUpaWZGx2cQdeTXDyUIN9UQ0pFflRw+paSu+ipmhZfu0xyX99DM4NYqx1FPe277MvjNAGfGMZ+IJQWP78XZt88zv7KFW1eQronDB4TVdtsBZeernJyjjkx+68zMxhfRVOQuC0b6yeVgehzAR/9EjIF5/y+ba7Sn7xd0uefbXg9KrPw0uuEvPt79GcusPn9IWCJ5/P+ZtnShqR5Ng+xcllxR1LNQ7PWU4eGRPULMvLJT/4LQGvnc6d83LVFpoMDL/xqYxHnlT89Y96fPS7BEsLho3NPQXY3QkxYpcmOy3MT9lktZbiXR/Zz2tPbbL6Wn5djZ4pbiXdvo43l6TCu1XYn+rfwrqk1VFYC70N1/4d7mha3corKwpoCMFip0VsNWfPbBDH7suDUDjhTG3RxuJJVx1SSqCUa60C+KF/XY8tgKAeMhvM3dJYby9LR3lXMBmVuyahebJXzSpzS7ljmey4MS+kw4icuM/j+F0dDh/ukMaGra0xK2sjtlczV0FQMLPfZ2bBI6xJZmeafMtdDzDMRghpaXf83UWt0fLIspywJUh6bo7xAsGBo01O7TtBN5pB6yfYuHye3mVNNjH85tcE//krinPrKVpbmi2P+YOtq5IdAF9avveBHg/fF++2sooxzJx0InrTeOn1iDcGEX/93lVay+aa6qWQV4P9dQ6f/WrIF54L+dY7NP/60xlPP5/z6qrPe/a713zruy0nTvq88kLOY1/LePYVSS2QHNknOXHA557jisMzcNvhkjCyHNqX8xe+zeOnXhYUVaJhgUls+cQf5nz1WcXf+As+f/Y74OCCYW1Luarwm47TuZpXf1eOgWgyS9iQvPfb9/HKC9usncmvl69gYReAfL0I6oJmy3Pm1Dd4jakMfHe2cur1gEY9pBb57hG2lvOXttncSMmyN5dMBV61WXhzRNHUbOza8D2Pg0uzNzxmeIuER0UuU5dWkMSWeAKmdDS93UMshSu/GTBYysyQZTEvFCtkecHJA3Msz7VYmOkwv9DmYr9HWZMwU1DUFEY0sGlMXU84e+ECF9Yuc3m7IC4MPc9pfuhMkFkoNVg7LetCbxQzSmOakUczCOlEHquDkpqMiHf2kZZjdDlCWIEnBREB9VGLughRIYhGwHseKPn2ewVewxma9kce9UZOo2Pp9xtsrhouJfDyRshBP+X4QYs/r7HSIlIJgXEu7gEUhcRHY8eCL/+O4Gf+leHcVkz0GdgZG9JS8IVHPB56t8aYjP3Lmo/9YJt/8PMFW7mhVwnnvbZu+eLz4IucpXafj/Wb/LWfSPBrmo/+gM9nvqx54jlDmhiK3GK0IM/g7DnD/+dnUv7rr0oeeCDgyScnrG1Y0LLCOwik5+EHIcKXSOvYYyYAqxKijsfIH1PWc2QDdOomWV9VAoU44LkQbuEwVlR4hWmr0qJNSakNfuAw3NP7pY3FlIYyccA04zkXcdEbYETBvmaLljeHTnNs6XbcumL9GQt5aSlGllwLglCT5oZ2RxJGlWhkmhCPdqjXOijluYTOGrcwK4HXePuaJJOhIZk47EY+vo5PS/WkO1dky2tPTyjSVR443OFou8HRgzWOzTd5aqeP9H33EFsn5KW1W2Aubp7l7Noa6xspWWpI42x3fJe53a0qgEvC1oYpyUJJQ0pmo5B2x2fngsbzBNtaEmiJ0TnGWmqRx5zncyy22EoDaxgZPnT3Nt/0jr1kpxiB33aigvG2ZHszYGvk8dSLbR6qj1k+eGPH6bwnCOctWgu+8Pk2/+t/nHD5Usx/+gPpXMsL+Owj8PA73DBZnDf85Y/4/ONfdsDridb01zWXzxb8UWHxvJSFWcVPbkn+xl+0BAH88HdrfvfRgCcey5x1QnXdrYaVS5p/8vOaf/MbiofurPPVFxN621f38VVw7QQpg6pM3pEUeYYIHX7jGu0ksZcwyaqS9uYxYLRLiqKaJM8sWeK8qIq8+v/q2SkLy2BbI2WKtdCZqbFP+qwZ174zZtoCFujSJdn9TU2jLbGmIM81nU7oBAyFoExzijTHvwEzRV7hOH2zcI7h7hppbeltF+jCugTzBmGNs3w488yIPDUcPdHh0MIi3U6dfcsN1taHYAX1eoA2JZ6nmMQZSgku9lY5v7HO+kpCljm9Ic+XZInebcVM2UDGWHo7MTtxn3bQolGPqLUUfTReIBjLGnFZUup8d46LIh8BtIM2kRfRzzb5yD3bfMdDw10phCKBqAte3ZLsCDZ3PDYnPk+cXeKBuQFLS+VVGJ0rI+0Loq5rs37hsTr/4N9mrFxK+W8ejAcaXVg+/1jEe97hTmJpzvBjP+Dzjy+UjDYMo02XGF94GR6RrnIxt+Dxk6uK/+uf1/g+/NB3GT7+xz7Pfj2/Ch9lgfUNzU/9H5pf+jWPd97b4ImXJoz6V495L9yrmIAbv1FbMN601FuKrCiwvsWLxK4eztsJq2E8Kt/cJduNMnOdoPqcREjDyqUxWhsW5pt0Ow2KQpOnhjS5lmRhtGVjNXX6TE3PtVmrU4njjHazdpWb+pXxVljNmyY82ZCKni0QVAmHBtLqGKtMeSqLPZXmNTn0NmKeGV3k/MUNDi21ObbcpTPX4MCJLkWnZCw3WB33kblP0TeM+pZHTm9xeTtjM7HkViBtdfDGrQDWukFmEaSF4Y2VAfPRBfqDBlvDEVmpyTOJzhVNOcPJkyfIli6zvrKNUDXqfgs/qRF6LSIJ77n9PO99sMBrGLLC5/yqhpHh1D4DoeTVlwy/+qhmZHLwE47OKB4fW04UioOLgnbbEngaG3oUviGLFYHWrJ4X/PbHLc+dLdlJnKeQsOApyRf/uOSv/rDH3KEC5Uu+9Vssv/zriudXLNZISr8kN650SmHpb1v++b+doK3HX/5hwf79Gf/zX2/xt//BhEulQZm9yoPBkg0FZ8aaM6+nFdhM4lDCTlNIKokKQoQvcDx/CVoixyM8LOs7O0yKFBFax69WFquqtlWJU8y2ruJjrb2apSQgS0rSkUR6btw4lI5BZ5Y8dv1hoQT4jnE3zjQ7wwmhNHhCkKSKJC3IYqf+7EkHjsVAUViKvMQLJVlkyHNDvQGhgkTmJONtFhcFUbNJfzymKHM8pQhCgX+LMvv2CnyHMG686dxhOt4Kl5MNLa9+fcKFMwlLR0NOHWmxf/8MR2b3YwNFOk4ZbvYxBsaTgp2dlPPnemyvFUx6lf6QYNe5Gtx9nfojlSm8fjrmyXaP490mZycT0lS7+1/AQiPioW6Xi0nO2cGQKJIci+pOKkso6p153n/kJR5+Xx/luUR57XxAKDSzR90Xvvhajf/wSJPNpKRgwgPdGuHTXe6aJCwu5TQ7epfyrpM9ttbWis9//iKcfi2lTCyVjCUI+Pyjgr/1g4r2Plcl+p4PGH7pkx4XVgqnklyBTU0J6dBwcWT4qX8jKHTA3/wBy+Ki5h/8JZ8fP6fYuHAtKNGUcPmS5vKl6/TvhdvdBpGk1pAVls0ls34TEJaN1THjgUH6V6IMpgOiwlBFVJoj1/57NrYM+y7pLDI3TorcafZMAdGqyreNtiQTwzDICEPFy/6QPCtIE+3E2AqLrAxDp68f9TTx2FBvSMrCEEYK31coJUizLRYOzBI2IuLhhDzJ8QIf5Sn84NbENrORJZ84HymroUhB57fGusomljNPj7l0Jmbx8A7HTrbZt9jm6CFXXcqLkgsr2wS+x2ScMx7nXLz0LOvnM8ZbDmgqPYfZuFILZvrVpoALp2OenXmdlfkNNreHFFVFwJYQhopTRw6SHtGc31p1GJKqzXeguUQ7iDix7yIfepdLdqyBSysBkdUsHHJfdOZln595rEOsJUImnFoM+eKrbW6PU5b2FbTbZjdR0tmehtPmlse//ozkzMsZ+k2U/D98VPOTP6jozDmrlO97v+E//G7Ay0+lezpD1bymS8vqxYJ/9ssaUwb8zT9rWJo3/MMfD/iJc4btjWvVHI2BtfWST69fv4XjX0dbK2gKVB+QlrX1MWXhoCq8Dd+5aeQTS9i+fnKRTyyTLYNUe0lXmhj6vQxRuSoUhSZJbqx3YIwTMMyynDTVtDtuwziaZBQr2yzv6xKGPnGSkeUFnlL4nrphIjSNmz4RRQ8QlccSApTdLQ27rQ/VBF0tiNMbiaNWpkPN+iQmGaWYLOZY0MKfAWM0hU7Ji4wsz5jpNOhGDc6/vE1/YMhzQaEN5JVbOhYZ2F2ly2kS158Ynntjk412n8xoNkeavJSsbiW8urXBwv4mdxy/i1O3e/R6Q3a2Yxx+SPPAgxd46N2ryEBwacvn0Vcs22PBD92uoSYggnveUzL/Crx0BqJAYQrLxUFJ44xLxg4f8Hjn7SG3H5eYsSGPLS2ryHLBeqxRLYkqAC3wPPB8OHs246WXG3zwsEOaL85b7l32OHM+x3geuXTCh0ZbB4Y2sFVofvo/WXaGIX/jx3zuvyPl4L6Si1su+ZsCGYWRmMoIS2pR7eorKqd019IYUIFCBtItNlahpSUfKYQuKQtLaazTUvIsZcUuMQDaTYS7dmRmmuNWC7WUmNyS9iu3d2Hxqt1xkVmKgcUWAtl0n1EaS1GAKgPIPDaZENqIUAUUZeIW+oBKm0mgtZscylxTZm5xiWNXgUJboqDAD1K6qsHa6piNjTGmtAS+oH6LXlrx2l4SN/XW8SJxfW+m64TVTjX07DAhzkpOKkOjGeHVQvIkwxjLeJxTbwR0OhFvnB4wXNU3VmUWez+FhPGW5msv7nBmcUSWG/obDtsyXNO8eGbI4Xe0uO/YvbwjbDAZrFEO18EapBdyz9FzPPS+PlJZetseX3hylq2+z1/6yOruM3X/gzH7X1Sc7ls8JXi5l/Jiz7LwaodCZtxzsOBdd5TccSzHzyxmYqkBcSq5PHaUdZ2xqz8jPHj5YsGLp9u8d5/jgc914eSBkPMXi10ndqVAzjiWX5laJn3LT//HgtGgxt/6Uc3Dd5UcXFZsXLx2R3jzG+IWxnpLEoQVlUBULaOixGId3blq6Vwv8pHzY9P59b/YaksWG1LL1WX4qm1SjC31fXsAzCwxiFkHIE/j1JXwfYmuWsNGX/s9urCM+pokdlgn5bnddRBmhLWAudBn63KfjbUJxoDnS2r1W0t4Rm8SsHy7YQ0kA8PFFxPyXGOxdNp1fE8RpzlGGxKdU6t7NBsRr768w3Bjz/rjzcnCVSFgsm146ZkeM4sjytIy2tYO27KpOfvakAOzizxw6E4eOHgnW8kO68k6aZlSmIJ7D1zinQ+soJRlZ8fjj55vcWEr4K9/1+bu59/+zoITr6d87gWN5yleMg3ODToEZ2ZQJuPE/IT33pFxx5ESL7GUY2jst8SZZGtUEjQg6V9xyAJeeaPguRfbfPCDY1fZ7MKJAyGvvZDh1ypcTH614fC4Z/hnv5wxGNb5Wz9a8t47Sw4eVNdNeN7ynkytMgT4viSqKZJJSW1GkidmF2j8ZubfrUYeO5q6V3NT1LSKajRMNo0zwPWn1cO9MNayuT3C85x4phDFNYm1NRD3DFJC2JbEY00Sa2SlVxFFiloUsDjfZmWtv+vOrpQgeosxf3Pz0BhEteAIYVGV7UOpYaq5YpXF9x2rZ1qG3TWlrA7eGFAIVAkXXuzRK3KCrkfehjKw9OWETOaM68ItsFXFQlTtEBW4Xruqg8WgEHSaPqqEZFJwYVRQSEEqPYIm2NJwZm0dr5kgmpqTB46ydOw43X0Zk9EAPxQs7I/ZGTR4+VWPL1+K2UxLvv+4oRHkyFBiEMRowlMeJzo+7YHltU1LkXg0tCv9vvJ8yaefhUYT2oHiQyci/tLdBfU5hWllmIamKZwWjBLg+yGe53F+U/Ehz3HxdSHotCUzXh2hmhSqJDU5iU4pbIkRktIr6eWSX/pkwtdf8zh1XLEyFGgFWlaVGANgUaWHFgYjKiVH9+tK5dmikwzPloSBz1KzzWzQ4PLgHJvbhmxcosfWif4hXAGoun8WQFvKzCU5AhBlVfGbJrrSgnYLBNoBlT3jWHomAxKwhcUo0J5FhAKhLF5Tk3qGtt/k9vmTdGo5W70X6cUjGr6k6StGRlNYQ2GcRkyZO8xI6gukMqAh8gz7lzSdriSNBRuXnBaH0M6A9VZiF8Mh3KQxlS1nyNtaaK0BpQSBhYvneoyGBY2mB8KBVLV2z40111djFgr8pvPsoVpIm12FsW7ns76S7wodejV3ny+/kfKl5hrK97nt0H3MLt1B3l4kG2+jlGDp4CbDnscrpxt8+twsq7nPD9+9QRDsXRtTCMJWh4OHFPv0iNM7BYkWZHFCbg0XXoJPP6+YqdeZrwnef5vmh09M6HRLosjDbwiEz67Lu/RBeJazOznvmyYD1jDXkahKgXX3nKVTQp4uAsnE8Iu/l/CVMz7vOO6xsXOFFfjbCJ25hUVKwfxii3YrYnWlz7ivSQcGf6rHc4Oc2JYQb9z45hexazfq3OnZBBWI22iX7JjCqSeHM9V85gl8X6KUJAx97pxd5HxrSG/zMuNhiRcIGi1FPDa71YxplLllnO8NGD8QZMtV2zU3bK+X5COLzqbU+///hYWqfW147cwG8VBTayoalY9dUWr6w9gtXNd5HN3C6fRhpsOiPuMo81lsGGwXTh6jhCASlIXlwisxX6u/gRKKe/bdweH2AfY1FthMtqh5AQvdbeJRxEvn2nzyBZ/txOeHHtoiql0x5kuohQ1uO6yYlQNeXBsyGHnUayFlqXnpfMmnn1J06opuTfLhuwo+dltGq6EJfMcqmhpYSukEHL0AzvdTPjidgq1hYbaksyx3E2tdWsZr9mqLhZHlF34z4SunA+4+LNnY+sas6YvUWXa02h7zcw1mOnUuXu4RDyfEI0s8cWPIYX++gZaWdYmNI2EIOgcEZWaJt/fsRYrECREGTWeRUq+8tZr1kDsPHWNzuMNjgwuMd0rClnQV0sLhxvKxw4qmQ02tKwkajvzi7EYsefUMZJlm81JO0nOtpuu1r6+Mm6dDhUX6AuW5FVUCwiiMNihPIRXkWmNwRp5eIFB5pUVRPZO1WsDhA11uPzbHQjfg7OqIy5sJ9QHMHaljgoy0pslURjnvobYldqOqGISWoC6JWlBruYfbakEgJPMdH2kEw2GJNYJOq8EdywcIO13K0tAf9Nja2eBLrz3HRrrJO47dw9GF4xw+cIDxMOORR1JG6Q5xMyeuX2ZWgO33sAc9JlsWf8by7Iqip5vcezDlz34wY5Man3+q4Nlzms2JIQ8dRmU0UWz2NB++1/DK84rf+ULJSzuGnrH4oiT0FVLjsAKe5MVXodQKKeDZJwueeFojrY+0JUr7SF0BlkqD1garwCgYph5//Lzhkefd5KE964xLXfOaZqSYa/pcvJihjQRhrqq8Ofh9Sbq9RZIUtMwMte4M/ckGcZKSp2CHFrM7Klwr0UxLPBbQzjJByqr0XLrf4VnH3DICWwhnV6HttBuJyQQ2sVBOP0pQk5JGA2zNsZkWG7PUwxmkGjLbaBIZONqp0YgiXt/uMZmMkBWmxxhLYVzSJZVLjpVxIoTWCEzhUSaGMraV7uTbmPylM5oEZ8ioK6CqqCqa9i02XNKDxaMh7zw+w9Fmg3MXxqy/XtCY18wv+VjsLkDVjwS1rnQ2EVVr2Ks5EHTUkm7MW2e+1+l6CCGYjJ05ZaPhM7evQzNqIJAM+jGraz0++9J5Lk8mvPvYfczOHiZozoG1fPFxQ9qvsWUV/VAwq6EWGwfETRwI+cXTDc4kNd6zb8RffFePjVLyhScDvnrGZ2PirqNQgn5qWe8XfOAew4uv+HzyUcnZlYwymy78bnyUMYgGPPmq4S8atyA881LIIy+kuwDiaTjXdQcMFqKqlvUMTz6X89QL17KjwIkItuY8ti7mN5y3ywxG25p4rFEyJfAl/Z2cdGjJBhZV0c6l767/DVGcN4gpkwugsBav7rBnWW/PqLQYu3MKZ1y1yRj3XM026sx6EZeCmJk5H6kEB5Zq1Ooel1bGbKze+LygosrnZg/3lVhHsbfA5O0vZG+OXUG8t/go5QnmDwXcd+9+ut0aKxfPc/mVjNY+xZHba+hqB648J9AYtsVVGKEpnTnqiF3QtBCwbzlESMH6itvFz+3zWV7qsH9mjiKzbPaHrG31+dITL7Nxss97Tt7HbNTlYHMZgD98/kGG+Rb9zLAZb9H065TpNmXi5m6/bnnhdI3TvRr3L0742Adj1nPJ73/N8NgZzXqyV2QdZ5LeRPNddcuLrwV84qtwaSVjsmmqhNodd7xtaCxInngVftgKhLA8/lLIHz1fYKxF2r3EV75JEd0Ccd/w+CMpXxNcVQGaRlRXtGY9ti5lNxwaOreMtjRZYvCUh+dLBv2cfOLo5/nEGcxeqRn1dsNWf+jMMlwxDnN4Jd7Iwnjd0JKS+qKH7wuUlHQ7DdpRk0E6ot3xUUqwsFij3vC5eGHIzmqxe966gMmGIfGg1nXK9405l+hM4QfZYI9SX96gCjuNm4OWay5785TC8wN3QzNLc8bn1JFD+Fbw1IunGQ4LcgOe52wZ/FBQaDc51WoeR5a7LM3PEAYFc+0GjWHKYr3JiXaLC+U263FCoUAoTbSsyGKDn1hqgcBvGmozzkDOCxxOQqUGP0ncQ2E1WgomeUwtGXD45CEWlg4TNVsk8YDz517n9Ksvkbz2FLnNuH3hbupRHT+ZI4uHZFnO6lrGaDjmofd4nHne4HUstUM+z687jaBjXU13v2CxFnP7EZ/tLZ+nXvH5o9c0L26UZLIkiCTbPcO/+orm975WMMkspRKUviXBuOpYKYjKmK89a9ne8Om0Y77yqM/2QJFPMrTIUCpA+BLfSnQpycrSqQ2rEu1JjOfqlFYop2Hka5AGDMwc8lBKY7ZAFFfjazC4tmRqSTfHlJFlJd9iZ2uH3k6J3nG7bZviQMzTsvoujsrujnBr9gY7uvqvEpF0jJbqvYUgiV0yovMrjGczV/1ozloagZupO2GDZtBmOOzTbnh820PvZTIqsKM1xoMJIhth4qoiIBymzFiL1I5VL4VrserSOJCkkiihcDKK4pb3MEI6pWWvXrVkhIDI0lqWnDo17xbsRzfJxjf+RBUKjt5W4+65DgrodgO2Ojmdts/R5Q5rOxPiON/dEXaXVLWjsVWFQFBvSzpdD8+TlZXLdFfjFg1rBXmhSZOMU0ePccfsCep+jZ2kz+mV87xw9jSj/Ou8/3jM0sJJpPIR0QKZGkM+YXu9R2+S8F2HckavC2QA3rzgi6920VZw976Y1n5DxzecOFLy0Z7i6y8H/NHLipdWFUnuqNI725af+3rB7z2WOMsDvxoXFoqJq3AIBY+/WDLoC5pN+MzXFb1hSZm6ipoXsqv6PB2z08nMFFBWC/c1i66AzpK3i4+5UdgSRiuOSmx1zM5mynBdO8+qKcYm4BvZ6F4TpoB43T0rV1XuqmSksSAJAukELRsRrXrEORnTabT5vvcdo1cMEUmfje0B57UTnbTaXR+rXbtP+gIVVC1XCbp0Vj+VsPs3FNP31TpOByobW4JIcufdC3iB4KlH18mTG1dJlQdHbm+wuNBCCkGnG1CbyZjfF7G40KbXn7Cx5rIHKQS1GUkRu7aWVxNEHUHYFHRnA4LQ+TAVufu+It8Dfk8mmjQrWJiZ4Wj3EKEKGKYj3lhf4cnTr5GVX+fhE3dxoLmMFILCeIxyidaa/iDmcrzNdx8o2XpZokJn7PwHL7kxf+ehlNaCoe0ZTh4q+dGR4msveXzuOY+XLkFSWHzP48K64tOPFvzx04lrQ07vfXV5jHa+UI8/W9IfCFoNweeflgz6BcPLxqkDR9CYk+4+cu3Qu16iM42ZJe8tvcCsda1K5YEpYrbWE/prmnzkthnxtkH0btymfTth4cbAZ+kEYaeKye1WjVot4NLoMs2wwUfe/W7G+YRescNgGLt21s6bEicquYtN90udC4pSY61LoqUPJNd+9fXippctnJGEdYUtIRCeM6PzNe84dpjvetcHybKcza1tXt7ZcF5Ihl1336CmKDAkWcawt4NZauB5JccXG/i1gJMHl1icMfgjzXiYM4oNce4o592jkvmJopFbCmUhkLQjqEcWP5DO6iGFQWzICklinX3F1oV1nhlNWDhwjhN338XRk3dx8MBJ7rzzHl586nEefe0pNnc2ObXvGHiS8+klnjt9ke1tzcPH6yw2CvpD96A/eQ52sgBPaA7UDHlf4/s+vh+y3Byx8DB8+D0hTzzV4bd+b8SrO/AvvpZSDAWpdROekBbt49pCwiKUxfrwwlbCv/z3ijsOKj77qMCqGl6QodOUsoxROsQLatRCzyk5F5pca0pjsAVIYSt3ZFx/SUqEbxjqDJNICJ3LOVo4k0flKitWV8BhbSASDMqciQfFSGAS3GSUgqlMVl1pRuyC0adVHlFVlISxFTb1isFu7e5fDTgg7vS9EpekATUPWrWAKPDwvIJ6I0IGgtmZJrcffgAtZnj2pZd5ffUNtjY32NqekI6s825TAjwHnEawa+FmhNsRCAFRvUbUls4XtXK1vpWo7RN7tFPrxrIwgnfeu5/vf9+3UuYpm5d+jzdevrGccplaNrcyiiVD3fO4f3GGThhwz8I8c4HHU5HP6Ys7u6Jzyhfsv8PD2ArLIgVSQacTEoUe2jhl3rI0TCYFWjs2iJSCPBvxyPBZzi5d4v6Tp7ite4x9J+e55+BtPP36i3zhzPPc1V/nrqVTWC/g5fE2z59foz/IePCwx+3zxi2kieArX5nl1aRGQxoOzaaUEycwKCXMzmm+/QMJH3634Kkn6/yHzzV5fWvMz/72hCTRu/otQrCrUeLX3WKmAnh9TfO//5eA48sBn/q6k76X0rE50ti5mHsRRPPOSmO60FMlPtcLoSBOC+z4re/rtNo0vGgQnnHA02lePnGl8Jv5pL2duFEFUEVQazrmiedJwnpIKSXHaLNv/114Xsjrw3M8tnKetZUh25cL0q1q8t9tB1Z/VGDs+sLuX6k3AsKmxBhzrTnqTSJsCupzrpKofFGZPwruu/MA3/PO91PokrXLf8C5V28s6lZklu3NlORwiudJjhycJQoD7jxykFatzqvqPHmu6W3njBPn9N056Ow1kFAWzhV76q69sC/EGgfgTtMSpZx4alEYzp4dMBw9y6H9F7nv6EmOdg/x0LEZTu47xHMXTvP4689zfLHHnYsn8aTicn+Dl1+/zNZmwsMna5ycKZw9UgqPPNni4jAgVIZjCylFIgiaDq7R7Wi+872ab3244OkX6vyLP2ywuj7iF34zJh1rdOmquUI6qMeVQ8daOL+m+ZlfjTh5QPKZJwoQrkoRbxvSAVhtqM9W1cBxRch5i/EnJWS6oBjd2lDVJfQvXSE+WEWZw/+Qwf4W4YeCWssJuDoGXYBAsFCf53j7KIEKuDxe5fTrF7h0acD2peIazZ83Rx67NUVKQb3uU5912IsisdfQ898cb0FLt9Q6EmUEaS8lHQmOtCPee3iBphihgjr7Zmd4Va1DsQfAEkrge4Kw4WF1wSSP6Q0HdJs17j1+hDu9OotzM/QGq5jz56kHEt2WMDHEQ0suDGVLEKZQj90uUcnSlfI8QbPeRNYCmmFJPRdMDKRlQm4E22sj1rcnXFpdJx70OXXfwyztO0zr3RGPffHTvP7iGQaDHdZtwhurWwy3DAc7Ad/7cI1imDCRgu3Y5zwNhIGDtYJmbNmeWOptge5JZAReXbK1LXj6ixPm+4YD+xUvfM1jnBd4WELhRPPsVOhMWYwUlBImnuUXPjkhxJJlAmUz5/LqWUxqCHRKTQn81gw1OrTKkiSLGcVDkqzEYLBSVHLDLgOREkrreqCOXVUxvTRQXv3TFm4LrT1QbYlsV0acKei0apPhPoP8TW2EqqWkmErlC3cMcm+fIirtXCsdvkZQsXkq6w+TQppZdrY0hS+YP6QwNYuaUbzzjgc5PPsAT73xOmd2XuelzQsMexMGiaXMJFMbEj+wNCKBAdISCmPQlcO9VB61pqDVDRCqxJQV6P4WQgWummitZTxwtP/FhZD3HdpPYAxh1OLAUpOzr05uuBA7O4CSs8mE+1sdTs0tc8+RWRozy4y3L5Jtb1KreZSlodSGNDYUmTNcvdJzZjIpCAPHxjnSadBRPuuTlJVJTKPhKj55ali9mLCxcpmV1R12Huzz4PK9dGsd3n/qIT733JinLl1iexyzkyScW+2zs1mwvD/khx+KECSs92u8sdHky8MOvrDcX49p6YJ4XdBpueRjCk4cjySPPBcRScVDc7O88OyIeGJRYdX+y1xiYa2jvE6JBsZY/t2nciQ56dg6bI/CkQQnkBYO2BvU3QRZZq7/n/Zu7DgvqwpH+TYSFaPdYq7CqkVmnRWIbjqq+tRi4xuOKhER03aE3Tu2MoHBhkaInH37I6dxFUTsn7sL5YXkJueli2d447Ud+luV2eOV7WjpEkOrLcXEJVZltVFBCqK6T2dOOWXqyHKLQ55oRuAFzr5Flw6MunAw4KHb78CXHr7yWV6a4fyroxtfZgvjYUFvMGH/fJd3Hb4beUTS9Jv0swEv5K/j+YL5xZB+L2c8LEFBrensCbY3c/LMUJYWz3P+ezOzTZSStJol405KmlZWBwa2N1N6O6tcWOnxvgcG3Ld0im69zftuu58vn/k6z7x+mq1Rn8Eo5vzlHUaDnE4n4gce9Im8DG0ET283+dLlDgbBHd2YZloyuiSYvcO1Iqcbn/5Q8MlnQgLP8v33evzTxwzJqAL9+m6T9ebronyBDOHf/EbqmJZT8Umz1ybMxo4ZV5+TRF23OczGlrT/5mbvm8aXEJRv1q65SUwTnWnb8/+MmPrpXcmwA1f5GW5ohMiYXwwJPEXdr3Ny5gSeUBSm5JWVs7z26jajXslkx1xz7lJd/blXzruNRkijo5Aeu4atN4ubJjwiUIRNRbsWkngl+VrCvfvaeMmQrzy5zuz+UyzOdwkij8IUlTS4U1b0PUEtknjKp6QkM5pas0UjioiN4vLOBM/vsFBbYBQneHWN3zYEvmTQs6yNDYURdAFVGer5mUF16tiFGYrApxcmbI0mJGVJnGinRluX1CJFniS8+MyTZMmAYyceoCmb3Ln/Tr56oc9XX7tMimY40jSkx3ecOsBSvU8yMGyMZhhlR6h5OTIbctvtGXGvZGFJcP6Mjy4KDp+SbPV9/r+/YDj/guDYrGS+XTI7D/3zlg6KIx3BhZ5mbQLGk/gtxzRTShIqQ5Ibxpnz2xKiqAo1AusLpNVYWdAUGt+vIYQizwpELiF1VRfhWacFJMA6UWGnYJw4JhTKgpC7LBgHBHeVHirrA5M5PQq/KfA6klLo6jUC61unbJ1wxUjb+2mmf9+t6FQTrKgqSsri1QTdxTqe9BlsxuRZgalaW0UO/Y2CSVqitaReH3BsAeba+xlnmtMrZ3hj5w2GMidtOBEriXUmpQVEQtAOBDkGKwS6cA+G7wcoL0T5JVZarGfwQohqt5jwKEFUkzSaPmFYMOyV3H9ohqCIeeS5P+bk4dtYXmijwvWr3LJ3nxnPAVe1tcTaIMMGQXMO6QUMe5cIay2O1hoM8py5uRrjcQ62YDI0DLY19ZajT5eFBUp6/ZRut0YeKGIEuXGLQpYakti1umoNp1Q7HmU88exLDIsx9y/dSVtGvHf5KJ/a3Oaxly878bueJgwk33Z8jpOzfYwRfO3MPP1JyKKAJTQPHx1gC4vfhcunA7QVHD6V0e8p/tEverx2IePkQZ/9UUR33me4lSKloHPQY+tc6RKJaqCE4d5114UlnmJ0qvbLLv3eODkLr+3c7XNlyWN97UryprAWyvhtzOLWJTrhrCAQgrxqaxUjByqWiqt0T95WCEf9nTkoUZ6gv6pJd+zu42FLmKxZ8pHTuYkaA451D6I8t8NYGa1z9vyK27SIPeNYk7vro3wI2mCNK+NnfZc4SilRSuH5Hlq7axLWJPXWrfW3lC9oND1mZgP6Ozm2KDl0qMNmtsGrr77BXUsn2bfYdvPIjZJP3yW1WVqy3FiiHbRJy5R+NiBSIYuzMyRZTpo59+wwVOxs5wz7BeNhsXvNtzcyZmYDmk2fRj3EGEuS5IzHJboa90XhKM+1uiLLC5585QxJmXDnvpO0giZ3HzzJ65c2ePypc1VVyNnEfOiBI9y/eJnSCH7v4n5G+k6awYjcbPLQ3AiTQn3ZsnlZkeWSQycK+n3FT/17xVMXM5aWalg/ZO6gz6WXNUFD0FlWDFb0botb+Y7VGTbFrn9gMrjx+JyayipPIAKxS9u+WRSJvcp+41bj/6yER/kwe8i12QZrmvSKY5uCm9OhG/ON+pBD3WW8Crm9Pt7kpTcukyQa6bsNTx7vtbSmju7Z2JL0KmC4B76nkEKg5N5WViqo1f8EtPSTxzrs29+l7jfpB0NaMzmn5md59dIaj7za4867uhxenqU728T4Q6QnsaUlT0qsMQgkzVaNw4cWePCd7+TIvhrnzp7hidOrFPV5DizMUK/NUd/okRSWuDMhqjmg69DC+tiS+YKZQqBySyrrJLUOyXZMrxyB9BgOM6yRxLGhLKwrm6WaduAzEAnbO+tgn+X40buZP7rMneYuXvnMI/QmhqAQ3L6/Rt0KdrZKMLPUzZ207X7G44R1/SqtwiIiSV54fOLTGWdWLN/xnTW+/FjOp/+w5AN3N8l1TFooIt9iM0shLAUQhh5RrkEZmjWJCBQ765rEOpNOAVjlUn6jrLNZ9QSlFWzpjPFoE18NsAXouCTLcuxUeK3SP3G7Ows1Z9tALpzdhXSVFyup2l6uDYR0i7LVAmFAxw7/I+sS0QSbg6i0fYR01PbdLrNwG2C3oRRgBcY61pWVlTaP56iDwrOEMx5B20dnrqWnc7CJQBQVxkFAPoKdy5aoHbPa3eb5c68z7L3B0y8/yWDcwwskjTAkaJSUiaGInRClNAYb4VpvSZXMCeGc11Xg6JDCTT5RnV3tmLeKIycb7DvYpdYM2VntUdsP9y12eHF7yGefWOd9OdyxMEtzTjHa1EjP7eSnLRIVQmNBcPuxNh+67SFmZw+wdu5pHrtwDtsKONnp0PU9pBDkpXZGltK5YUsF44Ebx2XhWqu6LPFkznCYMxw4B+Fhz5Xky9wx6tzEYAhritEgZ2trm2fkCzy4/172LZ7gXXeXvHLuEZLYWSss76/RDhuc3dDkOiBVB5k5tESpc9Lh8yzOJKgQ4pHkv36uwfPrCX/xwyGf+brgE1+JedeRGoO0QIeWpu85u5DCJaVhU1RaS1CfkahAMFzVTidqCnKHa5zmsZDsWMpUo0KDzqu21i0kH7cqGbD7+gLSTYvfrFq+VaXEq38DGBgxbfG66kvYcQlbWbhrME12dsM6AHPvsmajPWFz3zbjzoi0TPna6WeJJzm1hiSMJGliyNqWPDVXJYlXtg2FcBT03cMR0JpxzvC3urgdOlpn//42rUbEWmOAOKg4cWg/b1xc55nHN0nfY7jj0GFa8x7jnekNpNJEq75zv+L4yS4fvvNd7G8tcH5wia++8jytVsjRxf3MN2Y5z8YuGLneVAgZsL2RXZVgZqlhezPD9xRvnN1mOCwIAgcyF8JpvJTVHKi7tsL7pGz0exjxCu/Yfy+LjXm+6d77+LXPfYVk5HBCS8s1CBUXJyGZ7lLwDhZqM8wEs0RykwP1HC9ytii/+EiTcxspf+6DNT75qOb3/ijlW94RkZuCF/odPDl0518BlYO6wzwJ4YQslS8YruvdisfNIh1WGki+a9mZ61SLrgxrINkx31Di8g0n8jcJgatQhQ1JWV7rMwfVcpVZdi6VNFoT1ha2OdbJyHTOE6+/SG8nq1pU0NovnZdhWnlrKYcjrnUF+cRQZu46S+UevCDwdtXGo7qi1vgT0NIPHt7PTGuGdFLSrfk8sLxEujPiyTN9Lm/khM117jhxmOMn9lHb8ek0a5RFycbKDpNBShAIbju8jz/1wXdz26EDDPorvPzGCo8/fxHTigkeanFyaT9RfYeds0PMsqLsFHghNGYEEwHDkUVaD9/6lEpxeXu7omtbmq0a4x0HhLNIPOnaJwu1OgfnWqRiwmBUsrZzAYIG4uhR5ubnObSwn8HgEvccWuYHP/QO5hs1stEboAWtzhKqNsMrww2Ev4k1GXOLgqeeUvzxcyVfe0Xzh4+PybV0D9J+yc66oNSGmufolmMB50caI40zW8Q9yOmWIY9hyuu2u1gfdt3jhTS7rvJJWZJSOguHUjjat+8Wd1G677LCvdeUQI5rWeXWtbMkDssjHZ5oWg2yYjqxu9fpFEyF62FKFS6r4ayASgk2UIJACnwEoR+hhSQtExJdUlbmh9q3JLFLtPK8ZHt9iEmg6FtsbKHSaJkmXwhLmsDOSsGZ1kWK+A+Je3DhwnlMkWF8iaopGm0f2xaUhcaWBoXCMxadWui7w/Q8gadACI3yDCpwNPpB31Ikt1bhOXzbIlGzhi5K2qHPvZ0mSan58rNb9C5pXunu8O5Td3L73StcXuvTmQkocsPq2YzJlsGvCe46Oc/3vPM9zM8dJIv7PH15hS8/vk3YUDS+pcbBmSX2j1IeO7uKHwlnaAnUGhIhBOOBdpoxFuKxprfp8ELWQLvrO4PKaZlaute1ux77l2sUhWEyLujvrBJ6NRr7mxyeXebIgTavnN7hzuP7+LPf9AHatQZvrL9IkRe0DxzGC5uc33gJZYf4yhLMwDNf7/DI6ZKvPj3mc1+VWM9itOXeQ4bXJiWFMfhVhlAmlt6KRtWgtuh0ufLUUmyb62sMXW/CNnu6NbcSRrt21M0AnjcKa7iiEuUWpmTzOt8rrkgyKuVdne3JFzT3SURV3XCCkZadtZIyceyRG7XH8pFlez3nlTcuEBcxk0nKubOulRXWhavQNCX1JmitHO29YiRmiWUy0PhNtxgo5e6B53uEofNIGmzrt2SsTOO2k4v4nocxhnot5MHDd7Ix2eblZ3oM1zSnX9viPafu5ra7ulxe6zPTDSgLy+XXU5KeIWwKbrttjo+8870sNGbJdM7TZ07z9Fc3ieqK+rdGPHjoHjrhKufPXqbT9Yhqilpd0elWVaUrDlWXlssXnZ6QNdBsecQ7BlW1e5VfVbEiyeL+iDw3DAYp6+tjPALeeeBeDs8ucWipyyv9TU7dvo/vff+7mam3WE2HpDqkHTSwwMXhCnU5wVOWaNbyyAtNvvSi4bmvTfjslxRZrDEaji0aXhoahCkJq0S2TCxbZ/Uu08n5TlmSvtlL6G8hjL6+9tL1wimw39rn/klCVH+4CqLYFYUEp9jshcK1XG317K+WlKklv8mzW0wsWys5p2dWKEzBJMl46bWNXXA6AppND88XTMYaPVOBkqUTnY06gqRnnYp0Za8i2LOgiEea0fbNdz83TXjSNGM1Xkf3M965uEiTkM+//gavr+akqWG1t8nlnR533X4H8zurvOvUCXpb2zwuX6DXjLn98CG+7d33c8+J42T5iJffOMvTZzZZ3SkxyQ7PvX6GgwcX+fD7voW4+BIvXXwNi8W0S6IaBFJQKkU5VCS5JNcZpSnAuAk13R5iNChlmZ0POLx/gZWVdcbDlJW0YCJL4mICUuEFF6k3m7RyDx+PUCmOL84S/v+o+88ny5L0vBP8uR999Q0tUosSWbqqgUYD3dDYIcAZcta4H/hhP+4ftmZrazazyx3aGEguSBAg0EALoEVVl8is1CIydFx99Dnuvh/8RGRmV3dWVTe45HhbVVdmRNy49xw/7q8/7yMwlGVNvHDoR1DrYx6Oj3iU7/JKW+H7mvnC44efVdzcqxlXimkmcV1NJxSsrIYsTgqkU9LuCNy2pNaKuZaIRp2lC8hjbHaVoyy3RxmEErY3acyZSRuuLTKMYzANGQ7T/J1oWlW1LWREhY1ukMYGfJYgXIFxDSScxTogsEiN0xQwp6jP6eRu3ge68cbxG2SnIVoLBa1A0otcWq6LayTSDRFRSGxcmM7IjcbrSaRUZJlB5wKTGqracoPIgbJBZFxhCzHXIHzwXcFa2OPq4DxJueConICv8UqHuqjJa4XjS2uWKAVOIAlCl8CVuFWNaFVEaU0UCPw2SFkjUJSZJj6EOrXI41cZeZyTxTl5UvB2v0dbOvzl/SMOH5eg4XA/4+bJLt9543Vurz7mt668w3R6yH8KP2M6qnjzyiZ/8O4HDAcbGK148vQm/3jzmMWRJnE0P/1on1f/7DX+4L0/YJJ+l5/deUJ36CCbTbXTs87QNmbCfMGHZTYpz3ghnYHH+Us9nj6eMZ/U5Glylvtl04af4nku50UXx7dI0pXVAF/lGB1SK4kb9lBlxmL0mCfVEd8eaKRjmM1c/vp2wM37U9ITA0bhhhCtSIZDiZtp+q2SXs/gtpuAzZHNTnMjQZ2Yr0Wc/VWGqXkmwf41h82Z4wXisnCtPYET2EXf9S3nJE+1NYvMIBpYQ8xsaiimp7y2n0OvfsFwI+gNfa5srZHkGScnCwwGLxAkc00aa6K2NUsUUljXWs/mowWhwQ8EZd/+f9hqMrUEZKlmPlJUMY3j9ZePRZxjjCHNSt48f5WO3+Y///gjRrtW9rz/NOHe0RN+/923+WzvLu9fvME0n/Nf/I+ZHJe8fn2TP3jnPVZaQwxwb/SIjz8+IBlp0qnmk0/3ub56mT9541tU+Q/57P4TBss+QejQ7bs4riBNarKkkRo3/+jKUGUwmlfkc0PQhqVzHtvbXXaezilzzeF+Tl1pqiK3LY1wj2G7y3K4hHFs2+nixSGtIMAYzcNFRs936ftwkByws9jlN1YrXM8wTxz+v/ciHtw6oogNRWw3z6gnOb8UcC+G862cR4PGg05zJocGi6DkL8mf+j/CEAKCnm3JCecZib0uDIsDja4t58vxBPnMFl+2Zffln1s4MFgKOLe+zCJJGc9jglBaiXnzvMRxbdtU0iatD5Y8PN8W8SNZEHRsAG0Q2FOiwRaL6VhTzM2Xor0vLXj2Hh+hq4pr3WVW3A53Hh/yk89HJJm28fBOzdH4gCvnX+Mbr3zAuZUV9lseqlzQ725wdfsSW6tdkIrxbMG9nTE7RzlFIRCiZGdvn3+89Qnnf/+f8Sff+V2mfz7l0f4+Qri0lwVhP2SR5oypqbRCN740GKso0E1UQhhJLmwvsxwM2ckPiStDrGqMMFTK5gg9vL9HmuZEeBw9HZFnmjt3HzA73mNrucuNC1sMVy4wp2CUH+LW1gGy0gJVu/zwbsX+HISQKMfKnAsDZe2wvR5w+YKk/qjECI0vLbm2yARVaREXIyQisHwTKttMtdbixnacDBgjn3H9tf2aaSBzqw43TbuoQXsc+3dCNn8uBMY3yLawyqSsQVPMKb/GPqhIi/TYWdj8PdY/x5QG0RW4HQc82yL0PYeeHzEIfQIHpNENP6Ym6nokbkA+yZjNrXOuLCQyN5haoHPbJjN108YC+2EdYfO8PEMYSG6c3+b3X/kd7k122Z9/D9FRRH4LkRjivCCbFRhh7UOla2j1FbLv28IvsO057RpM4wbu4CArB3KDa766CdvezoSq0lxa6rDh+DyYJvz0ZzNU1VwrCTvHh7y1cYk/2/pjfDdkGLT5w3xB/zfOs71+CWl149RFwu3DY453qzMDx727Kf/lw5/wr37nj/kff+u3mSZznuxP6Q4cWi2PTsdjPM5JFr/khN78leMJzl1qs7TU5/GDKao2ZLWyrufGnsbu35qQLAo+dAQHuyl1afjw8SGPZ1NurA54ZW2b3tYbGFVyNHmEwlAry1+YziR/dXvEyZE1ODSmcYfNQVWaq70Or26l/MUnykrLI7sBqAzUV9xo/0nGP9GvMsYu5ELYk6ipIRgIvEjQHTqNRYH1QwoiB6Ng9lSRzqwUv0rNLwwe/YVDQNCX3Li6xh+/+h3uzB9zcPRjhIB2T+KHgvlE2cT0xl1WSougnjrjuo0/k+Oe9rVtWjpYBEo4EC59tTn/8OGYItdcvDBgqd3nJw9vcfOnkzMDOSeAx8cH3Ni6yv9w4zsEjs9qe4nsnYzlYJnzw028Ridd6Yq7O3uM92wopVHw6POY7658zL/8zW/zJ+9+wMlszt7RlFbbYXUtpNdz7KaVPIPqytg0c67xjIkE7RXJhUs9BlGP+9mUqjAoZV3pkyPbQnzEnCz7DMdxONiLWRxqPrz1iCdHh2yu93lz+zo9v4fGkNU5CENRG4pSEBeCDz+bMj1+EULRCuIi4OKq4P3NKX/9g+eQeb46kvPf47DGvgJdGbS26E17VX7he9p9x8rt9zXZ2Droq6+JNPktwauvrPFHr/w2O/Nd/v7Wz+gNwA8ks0lFWVjkWin7/NWVoqo0K2u2f+u4ElHZVqEjT9+jfd9VZu/Tr0VanuylXD+3zG9evspkkvD3nz3ieFpjjMZzHLqdgLW+w1ZHsdJ2Scs5g+Ue/9PlP0Urh52dHT67c8DJ+ICnu0fcf7BLmtp+PgqSuOLm7SeY/D/z7Tfe4htvv83x301JjjK6Sx3iWUESG7SBMAAlnWbxtdbVomm55KXiwb1jHmQn5Lqk9Cyi4RiBNgKlYRFXpA8OrUooFZjccDBTnMxmjKcp1C4HSY275DLKTygrj4e7bf7vD0uSsuLmgaJ2tEU+VHOqqyQfP5jzr7+9RN3JODwscTWo3MHUNSozjSRaQGiaouWZmum0EDE0qm3XNK0eAcpgygbdOVVBnfJyaE4Yp60w0UDnZfNCnkD0mtIpM2eIwOnJUzQ+NkZg5ZQSS4A2zdcKwNe4HRfPd/EyB0e5Nqi0yZQwUuOKCs/x6AxDkrSkyC2nxVEapxSUFZjCvCjTbQouhGmqc/AdyXK3S+D20NWEKraLkeOD243wpaDUNVVRNdfKkMY1RVlT1zZjShXQjqCqmvamY2iFklZbohvF0FcZ+zsFr17t8s3tbeZpzF9+dEQ8sQvxqdvxRjuiHXTwXZuoGbQGvPHqtxGOR5UvmE3GjOcjHhzv8rNHJ1TPFQD53HDzwyNU/Zf8wbvv8wfvvc3/Mvoe6UKzuuqRZTV5pqgrCNuCqqAhML84lDI8urvgXjU/s4m3U+rZ99al5ulDq9nWlTXCOw5Ljk5KxnFJpTRrWUbbd9gxCSWGHx1FfPi4IM0UTw8TvE5T7DQy8WKu+eRJyf/8XhfHL3l4Up2Rj7/MkPG/62FsiytaFmemk2DbK/MmygCg1ZG0u5LOUJLN7KkyHAr011j8hbRy3dVWgOcFCOm80NLwfEFv4DCfNHJ/A0pbK4IytwjeKX/LD6U9BGKf3TBy8NrV2et8lTE+KTl/bsDvvv4+T2d7/PAfnpDNns35Vs9hqd8mcHyCRroUOAHf2HoHgSCrc6b5jMPFiN3JIbfu7Z+lfIMtXj776BhVf5fvvPk2f/Du2/ybv/keVanxfY8kKVjMX8xVOnVbdgO7CUvPKsge3JtSxBOMsEUQgCOsgWA+NYyfKPJFghtAfKRRFRzt5pwc5kwmGWjBQfeEKPQZ5WMAPjwKuflUo8qK+3fiL7RIq0Lz4b0p/7f/0yo1cDRvvuGrARv/fQ9hUUo3EKRju6/UpUWIz77FsfNKrgiKedWgX1//g7ueYG04wHesNH02LUniim7fZWUt4Gg/p67NmbpRuHbtO9y3SreqMTU1HU2WN3Pcs+3R3qZCleas7flL38PLvrjkdfj2azdoBRHf27/F0ziBAHwXOh3BG1sdfv+VdbaXHIxM6PY36LVWUbXk5u2b/N0Pf8jjnV3SNEEKSZkrAleQNOQTXRnGJwt+PL7JaPeIP/uD7/Abb32D7338I/ZuF5RBSWUU0pVIJXGlwHGtS2mpBTUarS3pNisqpLEyWP/01NPk4zhNuwZAa4GSgCfZTwqoDHvjms/3HrG2esDWtS66DbPMcHwyZXJSU9SGEgM+DfICouHVfP+TFFWX3NvTHOzXVCmUicIo/SKicVphYF58UE7/2wMT2MLjBScqZZES4VhFhm5e5oyHIxu3zFPfnNMWmSegCwiByMxZlqMFfE4x+2ev43oCL7TVtnJcsrKkTGqIBMIVxEVGnGvQyqJBwuB4hqUoorvhU64HnBxl6MpmdtUV6OLZ7z0jWDsNGbr5bADCCPJS8/DggId7++TTmlopqjBDhgbZCmi5bao6pypLyhyyhQ2/NAWY3G624RBk7eFIH8erwZVIXzPoS/rLXy00ptf1+MMbb9PzA757f4fjo6aF1Chwblzs862Lb9FpLT/7IWFbbYvZIT/6/Efc3B8xjSsc35AW+kxBZyeg9cX48fEB+zt/y7/+s2/zB++9xl/+4y2ePk6w2U4G17OndyEE0jGouiEoPzdvikw/QwR/2Ti91cKqx2Z7ClXC7GnK45tPGW4dcPXVLjJwiWc5xwc5s0lljd6MVUSEQ4HuWfSmSg3f/aQgrebc3Ss42q3R5dcnDv/3NE4lrSqHfNyotVwbnmwVYM+uceZruOjSW3IZbBrmJ6rhYHz132e0na8pNaPZLvf3H5LEFVmi8QKB51vz1sGqS5lrstgq8+rSUBU2d63OGun0xrOQT8e1aj0hBL2hw9LyL05R//nRbvn8yfvv0/FbfHZ/l/HhMwdfLxJcvjzkGxfeov2FRErBrFjwgwcfcffRAYuF5eJkiTpr+dBcvdlBzY9Gh+zufI9//ae/w2+9+Sp/9+EtHt2bU2uNqg3SacxPm0t+ij4I0eRO1VA3Vhzec+o/u2lLgo6NI5CuJbUKaV/v1MV8cZDy5LMHLJ/zuPhKB891iJOS0XHOYlJTxIY6N19QM+ka/vpHKZk45t7DjN0HX8x/+j/qMNoWhtHQopnJibYO2M9dXscThIFmed2nLg0nj+sXDnFfdUhHkNUZ43zC/eMd4oUNzc1zRavt4gcSbV6cO6oyZFND1cx3YwAlz3hrsiHwCAndJZfBl8z5l+4Cf/jeDVajIR/fvc2tB3OqGryOpBdJvn11nT/9zVe5ur2J3+vjBD2SyvCz2/f49PZDPv7oY8bjKVoZlNaEHghh8P1GQt0QZnUtyHTF471jvvvDn/JH3/kmb1+/wXd/+lOqgcZbNgQdjTRQzhy8yMN3XepKM5/XVIWtSn3HqoRcISgzqxxyPEllNEqAOYV7tcFxLTEY1+ZF1cow0wo/rSmeTslQLDJFUSlU42rnOhZa1kJYdMIVKDS7E8mf/21JjUEVGlU6CN2YxTjPWkjCFbadZQCePdR2RgERGM+ctaCEYzkFpqlwgrYNGEwzddbOEk7DTTnNs3oByTHgC+jY308unlMMmLP+rOtJPE/g+w6u6+JIh7S2Evi6VuRlifIUwgjqusbkgDpF1wzGy7iw5rOx2UMBk4MUpW270TSFgp2ZnPGHjADRLPoYQVUaDk4WVPohD493mC0KlBFUmYIgxWuXhGGLMGqhlU+WlqTzijzRtmWWGdACqRsUTIARAq0EjhCEHrTDlz4HZ+Off3CDtc6Af7j9IZ/en1ElttDsrEo+uLHMP3v3fQYrl3jmua9J0hl39x/wg09vczCJbcpvrhmuuFZR4D6r+5rLj8ph907Cn7d/wL/+k98jUYq//KtbCBf6q5bHoxvib9iyYZdFpoln+gwNMNiWo3SfBTDKxqDt54dwrArJCa0UW2soYk06r3n4cI5ShjzVv5ToKh0QbTBacPCk5N/vjL8WMfNXGU5oUaWv3Cr6qqMpvh0P3JY9JBVji8bWqd1c3bBRnv0ccqNLmO4pVtYDts77GJMyP/76gaZlqtkZTym8T3n44ISTgwqjbXva86zSK2wJorZVXOWpJplb9VoV25PuGVfo9L0pTZHZRHo/ELTaX2JB3Yw//Z132eqv8d3bP+HuzSllYtet9lDy3je2+JP3P2C1tfT82ycuEx4e7/KDT2+xfzQ/UwueXl/pCPRzvDmDvZ5791P+w/d/wv/5975FVhT85/90h6An8FrWDsL3JfOZrZ6DwK7ZWaoQjjU6FRLcptipC3NWEAnZELib/c4Ye0ARjo0+UA0CWdSGeKbYeRRT5poisR5YZWyRhc6adT9OJy/e0PFxxX/4D7P/6oWO0xTf/zUUVb9sGGPdjYV4Vjw/P5/rwjDaqegvu6xtBRhjOHmkXuAvfZVRpJqnRyco8TPuPjwmz+2qqCqIZzVCQn/gEbYcilwxn1Z23dQ8K3aa9+s9l4p+JmF37LPzsvHSgmezu8bDnT0+/vwpKq3peQ7dXsi3Xtviz77xDpcuXMQL+yRFypODXe7vHvLR3R1+8vFjpodT2o5LJ/KsQ7MQ+IFH1Db4VUWm7dlUNO+2rCoePN4BIXjt+gVafsD+cULbdRCeptUz+G5FMVdI4dDuu7iBIY/tg1WbCqklsgJZ2U2vVuZs89Xm9CwsMEIiXctDOXX+FcawqCtmB5pKgREaYwSOsHwlXQqbGdUkaQoEp7QpJTSmtjpox9MIR1hzQLAbo7SeORisfLpBic6ci33Ab1pUpydlB0Rgf971IVqS5LF9L44nwLULnNGWCGxoiohTBEo3M8MH07LwoKgNDgLfdfEDD9f3cBwXYQxGa2pVkxcFRV2jdFMUFlA6CieUVvpeGSjM2UksXiiSacXqcpfBUkg6z0lSYxVfjoHG5fhUIcZpwXiqMpOQJTXHozkaQZLNiXWFUgJVS5vxlNZ4g4ROL0D4AY50cR1FGCrKqKaOa1StkF1N7RTkKqFUGjeq6CxLOise0SB66YNwOq6urHB/5zbfv3tEWWhaq4Je3+O3X9/gd9/5TVq9tbNiR5Up85NH/P3uXX7wo0NGjyvclsDvNS8msIqbnqROvyjZVAXc/XjB/9v5Hu/f2CYIHCZ7FY4H/WUXx4WwJShye71bHQfPl2SJDR8tM3NWd516vZ5a8P+yISQETcvGKKiUYbxf28LOFeiyiS4I7clWlw35+BScbD7Df21ER3pW5p2P/2l2GNHYMTiBtSoQjm3T1ZlBz3lBPvx8NtYvGsXcMBtXXLwaMFjySOca6X4NDg9QLAwnRxmOA/NZeab0MdpQFoay1BjjWPm2oPFaEmSJxvUNZcMZcqOGD6gNWmn8QDJc8RguBXjPydVfNi6ubPHJ3h1+cvMRZaYIOoL+msc33rvI79+wyM/pqI1iN97jk527/OP39xjtVLiBoLshn6nZXEt6VaX5QoGgarjz8YT/Tf+AD96+QLvvMj2q6G5KslTR7rh0ey7xogYBvb6H6wryXKN980Jhpcpn5oBnf9dE6ggBfgvCvqTODPN9O3HdQFBmmoM7yvLyngNNpbSeMb/UUPS/crEjpS3S8pf49nydIbAHHemA9ARV+sX78fx42deK2BBPFSubDv0lj2SmiQ++FF9+YdSF4egwpdY1i4VFzuvckIxsIdsaChaLmqjt0Bt4+IHk5KjE3TAEmS1KVWnbnXlR2nlvrMdSp+fS7Xn0uz+PQr44Xlrw/PjWLUbHYxwl2Frqsb25wvuvXeLGxXOc2ziH1+qTFSlJmeI6hu2VPlq57Dw8Jp8tKLTCZIZWIIn8gG47wmmHlMGc43lFWXLWVlHKkGQ5d+89YGd/l6QqEArSY0XkOEhH0eoLhKNRsUYLWF0Naa2v4Nchd04eoouKwA3Yur7Ck0eHlGWJceypVBpBWdsbLhp3YivVNggpkVIjtEYtDHVqu1BgO2HClTbAs2kgOEI0J3eLlCgJuApxmnFgDFQSXZuzNHEjbFF1VpScojGiKXhc7De5zz2Bru1h+wFkuaJSAhnazUDVQN3sQk6DuAgaw8HmpRVWGeWBiCBwJF0/IvLaSClRCpvHVOYUZUFVKlSt7UQSdoMwAAXoWiO7EtFuTh8KCAV1YBjNU8K5T+AZop5LllWo03iK2vKRhLTJvEYDpbHp6ZV9/xWwWCSsL3XpeR2OxQxcheeDh8RUMNAByyIkVgWFqZCBpN8JQLnkaYEymlYfcjHjYJxR14ZgUBL0BMJ1iL+iLP0v733E44MYIw2rmz4XV4f89vXrnN+8hhu8+DAJ6dLqrfOB6/Pg/pzFpJFmzgRe196j/tAjuuay5xTEh/oLiEGdGm7+aMzDO1PyhUaVp4tuzXDdRUoIGv6R50mGQ5+oHYDjsnN/hNbWtGxppcujO1Py9Cv2VoRdBMHKp6sFnCn3GoTxC0oj+SxUtUqebfBfpkj6ukM2yEs+Nr82L0g4TWxFxJkDsirtZz4Nhf26w2iYj2umywWeL2n1rDFa8XOKMeE07TLDF2IrVAnzk5r1TSu7no3rM6dYKbHmrZ5kMAiYzYqzANnuwMH0LbdI1ZYLVBUlo6fHqFrT63t0uh6OFJTlL9m5f278xSd/z/7BAukY1i8FnFtb5oNXrnNl5fwZGfl0SARr0SrvbDs8WJkRT2dUqQ2PbK0I2n2H1Y2AfKjZe5ATH33RM6bKDZ9/OObR3SlFapqASENnHSajktX1EM+XTE5KikBZo0LfI/B9HjwYk2e2MLp6tcOTR3PKWp8V/tIVLPatX4t0bYq3dK1XjJA2RsMYmO2qL7wvfXoI/W80tOblLstfcQjA7wqCrj0sW/O/lxc7XzaMsUax3aFr/W66knxqfmGG1ulK+/NfUTXE45qlVZ9O1yNNrNlgd+MZStdqO/iBtChooXFdwXA5QNWGyagEAYMlj7yseHowRilN2JKELVv5xkn+0s/x0oInWSQs9zpsXFvjjTdf48aVS0S4PD3a59MHT+i0IoxQLMqUlh/SDTpsdEpev9AlUyfszRXxWKFLTahclhyHbuDRK1zSSmG0tiGjjaOd0VBUNdVCWTM7AXoOWa0RDSoT9ewljbMSv/K4dH4DTzpkwZjpbEKlNJlM6KyHqBNDpWpqLdDGKr610WcycNeTdLse7a4LToUqNaNHGi+XhNhNvyqtU2elDHgCHIGWTavKaQjFLsgmZNOGHkqkY9C5aZyNxdksOPPeQZyRjoWHfZ2GUGwLFruRha6krjRKg/AsUqRrgWqs5a0BDdbdGJrYK3EWI+FicB2rYHI9gRMKjKkpSk1WVOR5RVnW6EpjlDiLbuCUZ4NtmRllzQNFRyD6zcPjgfIEi1IzGk3pr/i0upIkhbQ29s24xrb0fIHrG8tHKQQqBZUYyKx3ySIuCPw2m502iTMjJ8UPBL4RZDNtre8dBxrn1aQWFGGJYwTSUURtS1xM0pL5oqCqrWRSlzYuo4i/WrrcUZyxvhpxrr/C1fXLrC9v43khui4pFsdI15JM6zJF+i1cP2JJ1bx2qctC5YwOauI9e8Ssupoocpt07oq6NKTH5guLqm6KnNNRzm2B6fnKKoSag3pRKrxCsXGxhxf66LJkMk4pSkWZFwxXXCYjbNHzyxY3AZ2+Q6drH/2yUJzkNaVjOT7Ssx4xpnHjfv7n/I7Abdvp4bbEM7SnskhJFfNrFz5OkxSfj355pMTXer0AvI79b1VYjx+V/wqtuOd4ddK1rfHRUUG75xC1JVlfo0tzhgw5oVVJCdf+nK6sm/OZmaKBeKxxPI+1LZ+y1FSVwvUkUkKeaoJI4nkOjiPJs5os0QSh/brr2SJOSkEcV8znJVVlYxfKwppX/tJAx58b8zhjZSVia2mVKyvn2eqvETg+2ljxgNsUPXUD6/mOz1JrwPVXl1gUKbOjmsWhJj60rt9SCNodh+6yQz77xe9DK0hnz25ClRviQxCbhtmkZHktgBWfyajEDxyunF/C8YTNZpwXCCEoVUVvyWM+rahqfcb76azLxoj0Waur0xJ0e1YCX1eGbKLJmvat6///x9vml41Tk9RTI8dfdwgJftt2LrKpjWj5Vbyqfn5kM8PJYcH6Vmhbrn1Nnb9YoEkJ7VWJdK1JZBmbZ/xFIJlo+p02a8sOWXpCXdl57jqS6aTEcRr0XBsWsxqlDOMTe3O0tvYzrbaN5RmNMpSyvLaytGhPvnj5g/3SgufqhQ2uX7vKO+98g421TXQ85d7tm/z4k5s83DvBD0NarZB5umCWpkSOwKWiqgsGwxaHqiTNIKsN87qkW5W40sEojScsxcTusY17ogC/Wd0VGleC0JJ0YogVCOHiOjVey3rdZEbgd5aYJGPwBMOVDnVekywqZtOE/mqXuoTFLEUJybn1VbTW7I6PqCqF40FtapSWhKE18OqvQ6YUpDYPK3QMhZIsKhuHIHxL4jWOxnhYTpJDgxTZz1CXhnxucAwYI6gbAujzyM5pCDkYi0AJgXEEAm1jqaTA9SVVaagVZ1lVphSo2GBOIx880RRQBhxpD+lNhISjDa4ROCWYylBUBlXmSF1QF9qmED+HQp0dASScpaOfLvTGStYpwe1KtGe5JAaoasF0qggCRdAStNoWsq9PIX4JWtosMeHaPrvbBj0AvYBqbBftWZzQW48YrrdIUbiOwK9cpFOQVxUjvaCWtvirFoZqpnEB3wMKrC+EtoqWU+iwLqzzb/WSpOfnx29trnNh4zrD5QtWXg7U+YJHjz/m1uE+gevRC1yO65JZUhEaievBTJUMlwLmkxq3ZXkgZW5YzEv8QJ5Zop/RuH7REBbdEMJySaZPlYX1h87ZfahqTT/qMc8WNtRzGFHVmiSumYysbX/VdRkf29PQ9nafWikO92PL7TFW7aA7Bt+XCOmwtAVCKmgKebclKOdQnkLropFodxqYXFhPmFNQkZZAtQ2p1lS/PFP1S4f0bZFQfgU/ja866rxJL+eLKMvXGW4ThFotzBlCJITGDwWuJwhbksI3VM0vkG7TRgbLF/LBWbY8uiq2bbEy1sSzkuFywOpqSFEqwsBFSBiNc6pKMRplaG2J7EWmKVJt54m0/B4pYaEVdSMr1uoZuf2r+iDduLbNteEVVlvLOI3lf61rbh7f4f7BLqEX0opcFlnKeJwT+QFa1pSqZLjskaeKdGSvb7rQxHFNFNlMLzeE6uWHbqsIEqdFj31O/aCi2/coCxddG1baSxynIxxH0G7bIMo0VUwnJYOhR1UZFjN79VdXOjiO4GQcn7V4tbaRR37gIIShv+EghCKbWd6U4764MT8/vMCmuSOb+d/QIOrSkE70r1VMCGyb7VchAf+yoTXEB/Y6/lOgRaevUeeGxbHCD0pabYe0o8hn4oWC9nQL8SJLgg4HhjK2xU+VGYpYM5sWLC0HLC37L4gupOOzmNVnqtTTr1TPIZWTccV8ZqNIXhBxYCM35nu/RsGz9e4FOksrHGUzxvdm1NMR9x884SefPeLmk2NqBK1OC0ca4iTG0ZrlbkS/F1DIZhb4glIbFrXicLHAzSVFqdCVsrxhB+pmQxXN1dXGEDiCYa9FWRiKJCc/1MQShCdob2jCUBDKACMdRpOMMqlwKem2A0yrxtWCvUcx7Z6L7zn0/T5/+o3fodIp//YH3yWtUsIQwpbLcCmg1RYYXZP1KqoVQXGkqBtSZ5kLKgO61JjM8mBEJHBc6PQ9oraDF0AYSlqhvWlPH6RkWqMReIHtNJnaPtT6VKrepJCbCghBuAYHiSMaNEco3EDitwR1CWViix0yLDemmRVGG/tn0SjDdGNY2GxIxlhyeIWhkvUZYnPGI3p+ap8VOPavhBC2OJOcSd8lBtcXVFUjE9SQpxBPatZCn7VuiI4rxqm2arWmbVkbUAoc39DqCnpLHvVcclJWFFPFnSeP2Qg7yBWF9C3Ep42L35bUZUmpK4QHvYGPU1cUU/t+TG7IYnsJvAikb/sCpnag0KBri5x9hfHGlW/gdxoFljEYoxkf3uev7zzg5qcxqja0hw7SsYu7MYbBuktv4KKalukp96SuDCcHJV4gKTIbD/AyZMFrQW/LIY81yaGhSmG2Z+H67tBuRFHk0/Iidnf3WcwLHEcSRS5hJHFdycFOQavj0OpIOl2Pf/k7v0Flav7NX3+fZFERtS0vpD8ICXwHA2RpyXBJs5jXFLkmWdhomOfngo2LEHitJvG7J61kueXRanksFiW7OidWti3neDyTq6tf/rlFgywZbSzC5DSLZcv+bDExXx+NeX7oLxKPf5UhHXt/pCNIj5sWoNHEkWC44tIdOJSZlambGqrEFq9e54zyhRdI+ksORa45umvdmO9/vODCjYp+36fTeUZIGfYDJtOCqrbraKfnYDQkC4veaWXJt2A5M44rmmKHs03gNH7iy8YHG+8SuS+y+o/TET/89DZ3P5ljDERde2qPR7YV1N9wWVr1rHeKBK8lyOeGdGQYhyWOJ6hyTfElRnyOZ+ME6sKqhcrUFj3SqXBcQX/o4bkOjpScjBdUjTdLFHkEoUEi2L1b0B7akN12x+d//s43KVXF/+s/f49aaXxf4geS5ZWQILA2ze22x8q6Yjaq7PM2VWTzX8zfCU4jQ0KHTs+6WSMgzxS79wqSI8vXFLJBa7C80i9rIQlhi526MHgtq5ItYr42GfgXjX8SpEhAa8m6GzfUVbKpYRHVdPsuwxUfVZRMn2sPGnN6H22R6EWC9UseWaw4uleharj36Yxzr4QE0YscszByCAK7JkkBSw3Cdxq8qhWUib1HQVc886cz9veqr3CgeXl46KDFcTbi6PCIamon7/1HEz5/NOPgKEU7BjFPLCMfg9SGJFe05zleq0a0IIwMtbIntkVRImtBqYzt8vgCT5izYEutBJXW+I5gc9CjG/oc5SmOkZhcU+xrRJPA7CyDDlMeHXzC0XGMUTmeqskXina3zeZ6i8VkwfEjTb/n8RvfuorjC+4/3sVozWA5YnngE7V8oo5Hu+XgSEiLlLouUasVvuexiGuO9koOn5bEI0OZ2naSqDS1EqS6RlQKt+8gPZvcJzyD29K4BeAborZgazNECsHuo4zF2CC0wXWkRYOaNG/XwSo0Ipt6bhD4gUOtNGWi0Qk2PFRhC5DTcZqGbk4rbAOOdTOudWMq2KBLpsYWLqcL42lRY+94M2ufvbQBTqMwThdubeypzPEbDndp+/DzhWFtCFe3lwgoyOIJ6ZxnRov6WZvCmqZJjOsi3AotYJzkyLRkoCJ846KR1I5GSkE3DKlqj9rUeG1BaASjpCRdWOSt0tZccH3do7/WRSGZHpaMpwkUxvKrvsLwO8vUZUZZxqTTA1LgZ7uPuX0zIT6yT302rl84+pTzillXWaKvNlbKPWi4LqWhKu2HdiOIVgS6fq5t1AzpwfJFz/JB0mduyuXCMDvU+KEkiARFXnH74T0O9xfUtV1ossyl0/FZ24q4fxxztFvRXpe8+41tvNDlzpNdEJqVDZ+lYYjjSvprA/zI7ojJJEZrzTDJEY6kKAwnBxnHOzmLoxrVtAbzkSUwG6XQytAdOjY/57RFHAiiVYGpwW9J1jYDpIS9R5bLIR1rmFeX9jQmBITLAjcSuE2rwWiLpBhtvpRk+d9iOIHdAIu5TSxPRprBsuDc+S6Bn5HPE7KRPcgUU/s9flfgtWkygE4l04CBZKIYHRVICYN+ePYIer7DynJEltcopWm1PDw3pyoN2ew0U84SsDeuuaxuhGgNJ0c5k6OKMrao7lcZkRtS6Zpc5eR1QVKmfPLoPvc/XRCf2AogHTUHl+Ylq6y2p/32s6yjurDuyMmxJloSJMcvb6VICcvnXaK+w+jpM8Z3lRqSE43jVLiuLeRv7T7i4CC2lAABSawYDH02tiJm+zFH9yo6yw4fvLNBKwq4+3DHzukln1bHIfA9tjeGVt0jbOxNrTSjQcyw32Y6zdh/mnL4KCedK1uwNO8nHWtAYroKxxW0WvY1HEcQ9gSqtMhdNJCsbQdIKdi9n7E4tJYUbmjDjVXx7DX9lr1m0gFVCdzQ2rTk8/+GJKJfMNxQ0FoRpCf6LOojGRuydcXlKwN8PyGbJS84TBtjEX4MeKFVTlW+OGvNxxPF+KRk41zIz59DhXzGAWq1HaQMONrLiU+0NaNU9j0N1l2WVgKMEUzGOSePK/LZl/OfXlrwTB/NmJxMOdmLmY9KRrOYnf0R00lKXRsIRCNRNhbiUzApahaxIiqg7dv2BlogC1uNKwyne65uNlLH4cxUz3FtsXNpY4MiKzhQFtr1XPAl+AuQUyg8g0vBTB0wm9Z4gSbqRFSF5unOBEcKum1JvYDtpS3Wttc4LCd8+mQX/Ag39JmlCwqTUxPhOhGhL7H/cwjaHmHk0F8WXHvVZTEvmZ7k7DxM2XtcEE8FLARZDGqu0DOJXBP01ly6CKZejQptbIXrC7SrKAtB3Xz+IBQsr0G77XAyrkkzifA1w1VJmWkWJ7aISJ0arQ06E7aNdfo8nBr4napyTttluiEwm6YrJS05W0qbDq10g6hh/V2ERxPZIDlzf1ZW7WO05RIZIc4UVacW9tpopCvw24JKanQBZSGIp4rBlS7B1pDDSUKR5qiy0RCdIkXGkjLLXFMXyi5ijiWPW4MpBcLBccCRIB1D1ApoCZckiYHKcpEcQZrZNooxgrALvVbI9vYQ12/xqByRHcUIKfiK/E32jm5xf77P7uGY6STn5Ljk4GFhe8OnT9MpAtaMKoEq1TZ6YdUSS+OZtsjbcwy+KmmIrJ4tFusmANYNYeWSx+VXOqRJxbFqNJhNkWnqU06HQ1kqZpOU8bENmTztZz95FON60FmW5HPN6laHwVqHzxaP+Pj2ozMkaD4vbSvLiektC7zQw28FlGlOe9Ah6kZI12H7qiFPCqajlIOHc452MpJxE1mQGPKJTYgerkOvB2Ho4nolZWE5adIB4RiKwi6Uurafu7fpELYls6OasjB4oQ1OLZt2Rp1bMYDRv14L6qWjua5CnnLunruvv/Rnnq3Mfg+EIygmhmJmiKc1wxsteu2I8XFh09CbMFldPXv9qrQITF09K+ROSc1ZViNlQRA4BIFdll3foRe4qNqiOrYdYwup03aVEoZO12Pj4jJe4GPMPrNRjRcZlPPVivxH88fszY94ejRiNs052c85elJQJM8eGnP2LzvqwlAXhnwO/W0bmNnftoXqWTvyJb9eOrB8wWP7Skhda06ePCdxk7YVWdeWM7K2CWUR2wBRCetbIXmmefokwXUt+lKksLbZYmttwL3xQz6++5ioZXOZbCFdcTKOWRq0cRybLi+EYHWpSxB4dNoh21sD8rcrJuOMvZ2Eg52UdGbVXMmxJps2jtrKsLzm4wcOridoLUuyiX3+NYayUGftfOEI+psWVR3tVhSJRceHmy55qqwvVsVZEv1/rQJfnP3r2fiy33Xqrh4NBI4nSU7sPa8zQzLVdNsR0UWf8XHB4Z3qC1J63Xyexbw+Q2lO34ZS1lvM/TkZebsV4Hsus3mKNuZMZl4uzAuv3+15XL64guc63L57xPSwJpJQfklL/aUFz6PbC3b3JjzdPWA2i8nTkjK3LsfWEfjUzwU8z7En10RR1WBSg0gs1Bl6hhaCjusSBC6zXPN0UhLXNiHciGfZGRuDDhdW1pDCI01SMlPQ7sNqz2dzqUWv4xN7Occ6p65qClXYNok2VLqm2+2TFw6Tg5Sllk+0LbhyY5vCL9jfP+Fwf06aFwQjD8/T9JYNOw9jWpHH6rpHd+gjCZnv5VRlzdragOXlkMBvce1qxKVLipODmM8/3mPnbmadoCvB5FBTF5o1XLqhi59rHCORUuB5Lo7vI92KwZqDVpo8hnnDA1hekfS0RkmP+bRmuqupps1xqvELQgq8tgMVmEo/BzA0xYQ+dZ+mQcxooBiBccHxDJ4rEMpYv78A+hsRqxf79NYGhFFkC5FKUcYVySwhmaYk85Q8rqhLhXE0QQTCb9TmxnKYHEdSoFG5YTpXjGcVqxs9BsOIybggneqzkFPpC2QAng+OcChKDQ64HYHf1mgjKLKaqjYEvkc79Agdl47n4no+uvSYL0pqJfEiB+mZxovIgLJp6X7o0Wq36PVTqlUXN6+Ik6+2+P/DyQOe3B/x5HZCMrIb8C/cCIVFbKx0235PnVups+o1LZBQ0uo4hJFDGtecZDXZiXnhNcIlwdK2y/mLLTxXUlXWZM6NoLPqsLrh0x94KKNJi/psc6wry9XQ2jAcBhSZZnRU0e07bLzic+2dFWpqZuOY46e2YJssVTgudAcOTx5ltFpTVtbDhhMBi0VNUYxZWuvQ7oX4gcer5ze4srXE8WTOnc+P2f08J28UTvNdTV1UtLsu7Y6HUuYs2sL1BI5j+S2DNQdVGYq5IZ5YY7GlLZeyMGcox/xAW9UUvMClEE7TGnuuVXM2vu7mIKC9LFm/GDFca+EFEmFslk9VahajgnhakS4q8oU6QyOd8Bnx+XR4bUDY1mU8VkynOesbPXpDl2m/tkGkxv6c3wQIu54NQqxLqyByAtvGq2t7HxeLkjSTrC5LHFcSdVtEvRaTvRHTSUaSVPihJZaf8XMapMEPA1zfpTuMWNrIUbUh/RIC5+n4/OgBDx6MeHw7JRmrlyZ2n5o0PjOGs541nVW7hgtH0Oo5tFoOUbvm+EH9BdKyFwlWLrisbgdIx6Zgq9Lg+NBddljdDuj0PLTRJIndSOtaoxqD1TRWdPsuRe4wn9SEbUnrusP1NwakKuXoZMHBw5wyMbSGEjeE/rLH3tMRUcsG/kaRS7sVcHKSoGrB6kqbdtsn8F3eunyZaxdyDkYTbt0+5OnnOWWjJpsfaMq0otVxiCLnLPMr6Amr2Gs5GOOQrSmEMOQzy3sxxoZf9tastcT8pLbFzmn4/PNznucKoK90B3/5EEBrSbK2HTJcCmmFttNQlDVZWjOfFsTzimReU2Tq7L5KxyK2jm+l/l4k6G7AfK+5Dsc140nGxnqX3tBn0q1fkNM7HrRX7JxwHEGZ2xcWjfRea8PRQU6n69LpeU2WoGBp0KEV+lSVIk5zHMcG6UpPWyPb0znkOQS+i5SS4TBksV1QVYYseQmkyJcUPLfu7XNweMR8NkPX+qxiO2Xciqbg8QOPbrdFXRsWKqVMrOV/FoMbGTwXuqHPxcGAbttjntZU9Yh6UpFXUABRJLi8vcyl9Q1EBbM8Zu7OcDcUa67HRrfD71y5zoXBElmVcmexx810l8OsQmiFBuZxhawNgdfDD2CxyDl3bkjBgrgU7O4fUSsbi6GTitKB9nafeDrncKdiMStZPa/xAsXBXkJ8VHP7VownHFwjCb2AqO1wbWsVL28jdYnj1ogA269WDtNC4kuHlpKMkxqnZR/wWlvujvQFg22BKyBwBd2uQCuYHMHBXkl2gm1dKfPslC8B36B8Qbfb5vK5c2ysraJUiev45HnO8cE+8Twlz2u0lsxnCWVhHXNlQ8cQGFwJ2gVnKNl6Z51X332VwfIqXhCeuVdqo6EqKLOceJ4wPZxysn9CnSYYVTPLUyaFTUnXQLfbwnUr4nFBnBs+u7/Ha6IgcO1DXpTCwuuy4Wi4lnSZLzRlofFbAtGTyMCgHUlZSssz0gofidCSKKqRjoevPWysfIUXuUjPwgBS2LR00xC+pesQRS79vk+NIim+Ggv25ocHHNwvrNvoS/YLN7LtGKMtKfZU1VTODUmokI5F+y5vdtluRzxNUqpyTpVUZ+nhXldw/tUW2xfaGKUoCkWe17SGkmBLsLwc8CfXL7G6tEVdFdw53uXOyQnTRYFWtiUUz2ukFASRwA8FyUJx7nKEMDbF+WBnhtIax7dmd9ITrG16xPOC8XFJvKhZ3QiIIofdnYx4rHj42QIpBMIIgsgl6jhsX2vZxV03yqe2VVLVBaSJsshEKMkWtVUXNm1ZAD8ULJ+zHgdB4NBquxgMRVoy2qkpZr9ckWW0PTRder3HuZWNM6PRsqg4OJgyn2QUhSV3p4vqpXwfN4TLb7d55d1tulGXV7pXaDkRpS7RaJIqIy5TDubHHB1POT5cUBU1StfE85JkYa+pEIJ2X1L4GlUYsrHh9q0JFTV+IGkNJHVm0TA3elZoSwnJQlPmxno19SwPwXWffY+qNbN5yXAYoLU+KyClFPbE69v2x2mi/Kmj8OmIWj69no0oKdKvVvD87MMDDh8W5POXtwQcF3rbDd/mQJ99b7kw1F0b39Juu2ydazPst5kvMlQ54/hhddbacgPBlbfbXLrSJ0kL0rQgTRTtVUkQSlbXQ7554zXO9TeZ5wsejfZ4enzEaPSM+TyfVfY6t10Ws5psrtm+GmLQKK3Z25/bQjCAPLYxN6tbEjGHwwcl8VLN0rpPHFcc7uZMdhR33AWuY0NaO71dPF9y7lrrF6JUqrTJ3FFko44Wh4bOmuVRKWXIUoXnSwabAu+8RLrijMQ9n1bs3ykpk5e3ax1PcPWtPtvLq+SZagQLNUejObNZTlkoq9Cbly+9Z9KFi6+3ePetc1wbXmEQ9M/4jKUqyeuCRREzimfsHo84PJxb1aeqSbOKqtAUsbEmnYGguy6Z79u/u/PZGCE1rmfbeVXyrIALujauAmO5Tghor0nb0m3me10ZpuOKstQsrwbNYd2AEGd7EcJye9ygpn6uyH9+BIHLcNlyZ7/MluOlBc+9+48oqxLPgX7XxxeCPK1ZZIqqkVRL1yIYruODVriOQ0mNMFBlgmxh6Awkg07ASrdNtxvRCwripGCxmFEVhsAzXNle5Vs3XkcKl73FMQsW6EDRl4Hl9jqCfrfL6xvn6YQh79av8P29T/lfPvmIkopASosMpHPaXhcpQoTv0uq1KXRGOTGMx3OCdsjScg/XkWR5aoVOQYCqYhbHkiLNkV5KkTbxCLUmq7V1GM4qPE8SH5RUtWA2qQkHElxrPphkmp1RTr0k0LWDMDWtnkNvxSOIHBzpNaQ7hedpuh0b0bD/uGJvV5EcgsisPt+mpAPa+kbISuAaifErej2Hb7x3gzAKWaQps/mCjc1ldJkjXJ/eYIUH959w+7M7TEZTstou6KbxD3KlfRA0Fa4XoLVLXdksLceV+J6HH3qYbkR3tc/S+VXO5efRVWal0Ccz7nz+mJ3dQ1Rt8MOITq8HZsziuGD/KMfzjwmWPPr9gKqoyRoFhWi8XorEkBUVKIHnO7iRg/AkuNJaNhp7/QujkEj62kEZGEvRvHmNMTZ5XkgI21bNFEVNcrQUOJ5LpSDXhq+49vP4o/wMkve71sOjzhoi4XMrixs13hHOc75I2MWwiqG1DN2ez7Vuh/NhxLkgYr5dEU9q4twuINdutPmjN7dwApdbixnjyRTPlyxv2HykwJcstbqsrF1FSIe1zVc4v/Mp/+ZHP7O/z1gSa5FrWh3rXSGlIIo8yrxgPjaMj1K8ULJy0bNO3bHCYAgiQTKBJNFUed7EX1gX3yrhDO9eYPPRxkc5dWUoF8YScZv1qEoNx09KlNJnHJyoIxksBYSha093pSLLaqLIpRV5KG04Osw4eVRTzM2XHmN1Bd12xO9/8wa9qMconnE0PuHy9SXKMsfzfFa6Qz679ZSf/vQxi1lh7+HPv65olB1C0HM6KK3QQhHIgMDxWPaHyI7k9eFVnqzs8eDCE2pdo5UmjXMefHbI3hNbrfqBpN1xwNTMdhXHD0scf0HUsS3NujQkSr/wHopMW8EBzxGZfUGr+yJ5M89r8tzlwtCzPmDCOqEL8WLLSPrQXrVhprIpehxHnimSiq8oS3/yaf6sIPEbIm3emPg9931OYFOyLZLDWZGqNSQjQ39b0Bt4bK4NCAKPbjtkPi+ZH9dkM4N04MKrLb713lWMqziSU9KsoNt3LTnZtzL8ftRltbXMamuZS8ML3F96xH/4wY/OrqWqDccHuQ2TFBYx6HVDqloxnaVMxjmtobDiBkdSFgrHsQVJlRomiaJICrxQWBS3MNZgtfkF8cS6VY9Ocsslywx+y7byy8TGTxw/rs7mk3Ttpjxc9nFdm+YNnHEkZUMXGJ+UjB7VFOnL74vBIsftdsB3fuNV2kGbabrgZDZlliaUdYkrXVa7Qz65ucvPPnvKYlb8UkTIGJt91nJb1lAW8ByXttem63dZa61wZWh4e6tgPznkOD0hrwriNOf2nROOVUZdGvpLHtGqAxTMdhUnTyrcYMbyuk9v6KJKm6huFani7HcXsUFXhnAgv8DZARtFkoQ1g2FAGH7RHVw/P+cdi9KeRqiAdV0uC6tU/bLx0oInjQuronAkYeiw3e8QuT5H05in0wWZ0LZlIgy1qlBViarrM3KbqA2iNChjqBxJWtd0lMF3HZZXOiwVFYlKGfZbfPutNzm/ts5xMSNNK/wwZBB1gJqTZEauak4mj5gKhdcZ0otabLsRnpZIfaraFixmOTmGQPhsrg/obnYRLZcnD49IZzmdToellWX6gz55njCbjjDlgjByqQpDEdMQgoXllQiB8MAJHZSrqReKw8MUlLX+LwqNG9gFTGeQOJqdOiUwIEPBYOgwGEqkG1GrGsd3aGHwPIWRBQf7isePFFkmEJFBBtrK47tdTGqIJymddsDGxhIXLmyxea5H91yP3XqHh3d32Ds8JE1shpXODcIVrKws8c33v8Hv/8kH3L5znx9+9FMOj45RVYnA4AiB9g3jozk/+u6H6NLFKDtxfN+j3Y3oDzt0BxFhO8AIjTIVjrR+SGgXxzhILal0RZxmbPTarG0uoYojkmPF/lHJZuSwvNJG1wWHRUWtLIG6bhLUddnYmUcC4zqNXbjEaQoWIwy1MWjhYnCoak1e1VRKN+GBkvZQovKasCMJegK3UR6BIooE7a6krgT1S5xzX3i4TqkETctq5YKL7ztMDyrGT5VtX4lnG75WP6cCMpacKBqCyElZsB2EtKTD5aUO+2sFxaJkedPlj9+6yPWNa+xOHmC0od8PCH3PIjPHMYXS7E0PCeWnhIMNHC+i44U44tl7cBxBnmjypqLb2I5Y3R4QdVs8vLVPGiuilmRju0t/pU8eZ0xHMePjEmkFK1SFQaqmDdd+Ri4UwkpRVQHJ0bOKUeXPHG5NDdnEcFTWdq1oQW/g0uv5ZwuS60pakdXkG2OYjAv27uW22Gk+h3Shu+RT5Zp0VhNGLtvbfa5dXuf8Zpvudp+d+IB7t/6R3d0xyaK2fjOllRVvbEd8+xtv83u/+SafPXrM939yi9FBZtspzS7ghILxUcHPvveEnxSP0bWFxv3IpdeNGA7brAz69DotClOSlzn1aSVgnvGxjDGkseLcxRauJ6mKgnhPc/K4YuOax8pqiFY5dfWMl2KMLRCqxF5Xr9sUPac+Bc9tBKdlhsZQ5CVVWbNYFLiOwGk5tJc1qlD4A0HUk3hew8ED/Min2w0oCv0LN5dfOOefOxT7HcHyeY9ux+PoacH4aX329VP0LJ9+UYqtymcoXZoVBIGLdCTbWz3mk4qnt3KGGx5//Dtv8vbWq9yd3GenOEYKwXAYIaUkywqU0jyd7nGlbuO0O0jHYRj2MebFD5NODdJRuKFgeSXg/PYQKQSf3zkmTzVhW7Kx2WF9tc98kXEyWlArQ2ddkk2MFSA8f1tPXaK9Ru1WQTp5zicoe+7+Y0m5h/erMzPDzsDBdQWu61A3yjrpSALfRWvDbFpwcL88K3ZkUzT2ljyLmM0qopbH+lqX61fWuXh+maXliN35Aff2dnn0ZEIS2wyvMrUt443tFr/37lv8/jff4Oajx/zos3scPk2tIKBxtTfacLyX81ezO/y1vouuBW4AnVZItxOyttS3c7/dpTY1SZVQa9BYRFFI27bMZwY/VPSXPNYvBKgiJz7WnOzYNuvSqo8xhmJRUaUGN7DXKJsaVNOKMkYTDb9Y9Ng2vWK4BCBQSpHlzxbVIHBoL0nqXBENLG/UHgDs18PAI4pcOj1t7TheMl6eqKiteqcsNdO4IpQVw9DmSnXbHqaqqByJ6zpIqTBGI7XNswocQzuQdCNBZRRPkxSpDKEr6Hd9wu2I5a4iczTvnrvM9mCZItMcTWbkswWvrAx5Z/siVV3wg73P2VnEPJ4nrMcPmXOXlu8z9qCuKozjII31s1GVpi4K/JZhuOphWpDVOccHI4ppgWdc8qxiuBzQarksxilUAZ4raHddkjgnyxQGTdRy6C1L2v2QVtimmFc8+dmU5FDbYk4AtSDwBFWgMUIT9F00mtkMHA3duYLSPpy+J6hrTTvw0NJweFKxv2M9e6QP/orH+UvnWVvr42pNV7XIjhOunrtMqxVS+YpqWXB3ccDe+JBpeULeSjCRwhc+jhZWvu3N+eTJR8T1nHe/+S6vf/Aqf/sP3+Pz+7fI8xSlbTV8crTA7MU2Zb22LRxhBEI4yEDiRRIvcO1iKjSuFEgh0UqRVSUFNdoxxEnKbLFgbXnI+taAvXxGltfEi4rB0NDvhczj3PbjS9C5LRJEMwNLNErXKAWtrofredg0dYMCYqU5SnMqYUiSFCEF7X6Et+zguwmwQNeGSipyVdlWADWdlkvZDpmeJLwoa/sKw0A+McwiRWcIeNaLJm9s0H+R5Fc4lu8R9C1RcnRSIKVgyfe5FLbY6La5cr0GM+WbV5e5srpNWaXs5CmLacrV5SFvbr2CymN+wD2eThIexQl955BOMkIISVJXVJVNMzaNF4VW1jMnWpYsr4b4oU+Rlew/ScjGBoEmSyqWt1w6Sx2mo/gM6RisS/LUnPXYvbZgacuh0/VpdTzSecXDj1NbnJxeGmV79NK1m2UwsK29cmq5PdlQU1caz3eQji38XN9Ha8P4JOZoLyeb2IyyaFlw/nqXlfUOjgNB5JM/Fdy4ep5Oz6cwGTqUPIqfcrRzzNFh0rirCsKWY/04akNVV3x89xazrRnvvH6Dt65d4fs3P+Ljzx+TJXZuqcpw8rDiqKpezLITIOQE6VpVSdCWCOfnbq7hTILt+JZEPhkVbG63URcMO2lBGRuShWJpxTBYajxFSmvdUM4ahZsV/Njr1hdUhSZZCDp9+cLvKoqa/UWM0dbLSQjBykoLx5F4XoYhszyu2lAUNlrF9V380Dpxi5OvZrT58yOfGeZh44XiWVJ5kdgLFXRPqQzPzXlpfWpayzauY3RcIMSMKPIJA59uJ+T8pQ5VrXjr9S1eXb9MUqXsT0+Ik4JLmxu8tfUq2ii+f/8jRpMFh+Mx09v/yDv7FXgej1/vnhURp6NYWPJsd0Oytm6JyGlWcXSQMt/XmDXIsxopBP1exHiSgGnaMhvi2WZcGjprkt6SS7vn0mq7ZIni8c3sCyZ2XvQsniHs24NBPrVqwmSg6PQ8VK1otwKqSjEctK0y92DK4dOCbGaL0Gggufhqm9XVNsKB0PfIDl1uXDtP2JZI1+A4kgfTRzzdHxHHBWlaY4B2x2WwLO2cNoofP7jJ5Y1N3n7lOm9evcj3P/+UW/d3LbXBwHxPM3pUM6J+froDCUiQchcvbNpPZ4WIbY/XpV0XytQWs2WqmU0qllZ81i76lJmd8/NJTW/g0Rt4pBuqMaG09hTPI07Z2FDnmvaKwPGbudQc3lRtKCvFwdEUg6GqLFrjOg5r61ZZasgQrqV6FIUV80gp8H2XTidkOv1y/4mXFzynBlYa4qrmSTznJHTwg8YkzHcw0uAacEqNVIaeZwgjweogwOiaUihyRzAtCwaBQPou7SjkiZpyJKZs3uhxbfUCWkgm833c2Qm/vXaeNze26Dke00XBxVTwdJJzV+VUteAKmvXIYdx2KfIarQxtI+hrGLmCtBb0BwFuD5TRjPemzA9LyrFmkScc+bvoqsILQhaLjKpQqErjdAQb5zukmcd0muK4krULAwYbPq1wCZVLpBfw4EeH5IcKowSBD5tbHofjmnSqEI6hvy4ou4J4ojjYqRG65NJrHr3VAM/xkKVid5qyv6vJFoaw5xC2Wgw3lnjzG2+wtrFq88eSEpnW3PzwAXsfH3Dp0jbJPOeoGBMnMXVeW9I3mtKUBK6HwZCWMUrXzO7N+PzJPa5feI1333qXq5cvcvPuJzw+2KEkpUxrTNnAY6dEZ2UQWlGryjLeU6yE/VT6XlvTLeMbRAtkV6C1ZrpY0G6HDFeXqWo43BszzxVxUtLqRHYhSS2B0SSWfOh2LI+lNAZVK0ym8TwDAXR9B9+HWmiULBjFBQJF1HLo9Dr43TbSkQghKcqS+ahA+4palBhtfWQU2PeQa+pfwcxFVzDfsQ+v41uX4da6aOJJnn2fdMEfCAabdgPOM43nC+YTRber8JpvHmUZ83nK9dcHvLW6gUBwcPKQOs351sY5rl18G9cPWRzc5UIQcS+fcS+bM0pyrg+6XGq3mZUVSWYTuoUURC3HysSj0+A9i6QcPJkwO6woZlZZ8SSMqao9opbLbFo0hGG7YAyWJVXpEM8sOrux1WK43Ka/PqAqKvzwmNv/MKOI7XrgBLBy3mXiqUY+LOhvSYqhYXGkOXpYIUTK+UttBsMOYbdFlZUc7Y45PigoCk20asmIKxsRb3xwjrdWX6PndcjqnPRSwvc//Zh7/3DMG6+sUDgQxymzcUYSK6TzTF3lBxIhbfDpiU6ZTh5y79Eur166zLfefpsbV67w4d3PePDkiOlJTbhsEarnAzhpXkvV1pU7n/5yHoBwIFoTOB7MxjWdbsnqWkRZGkb7JUVuWMwrej2PVsdhPq6tqqqhoLht69NkGi8sIaHINe2utNyn0EU1GXlJbFuFYeQSRR6dpS5e6IMcUZaK0VGF64kXeEvGGNK0JInVi4GeX3XOK5jva+LG+VvXts2lahtzY5ounRAQ9SSDTZfyuWKkLGxwrnXGkCyyjDTLuXSly29cex2B4Nb4NlmZ896VV3lt7SqBE6CmE3qux4Npxclxwajns9eD74xz6ommKOz7iVoOWhuivqGQ0Ft28X1r7Lm7N2N2VFMXhvmB4kkQU5aKIHSYTgqUanyyAsH6KyHxvGY2rnEDWNm0KFGnHVrHa+eYOz9dnBGuXV+wftVjclCTHGmEhM6KxG9b76GjBxUCwdaliPWVPo5jw5f3Dmcc7+fksaa1LIl6kuW1kHfe3uLt9TfwpUehSvR1zX/59Kc8/MkJN65vUdYVh+MpWVFZg9jmvZeVxnEFQgiSuKauDbPpYz5/uMebly7ye2++w9uXL/PTB59z/8kJeq0mObZFy9kcObvZdm9XsYH45XNFNArbNK5ptRz6Q4/qquHgXkm+MKSJotOzieeurykWz37WcSEc2EyzMjUsDgz9cw6OCytrAW6T+SYExKl9UASCVuSzttwjCFwC36UsFJNxaT13npvbxkCeVcTzX7OlRc0zh18BRWmoakUkNcttn5bnYlRFXdVoI/BUzXIk2BwEyAAmtaQUkgyF8ARrKz3Oba7QC3y20opbs2MWUcrMz1mufLrScH3rMqthhFkkPBkdMx2fINIZ52LFcaWYKM0dA/Pap3IkWvo4umQdeCd0mHqGA+OiNzvoUJNmGZODGU6scUqHqjScVDMWkxw38mx/UFeEkYvra4yT0+5L/FabyShnNqnob4QoWRF0lrj2dpvA87n9j7ukxzXCNziBod2TxGNFOYPeNUndhqArqRJI04qjxzOCoEt3GFCqnMWhYfxAo7Vk/coKF65dZWVzlZW1VXq9Hm7gw8BBVyUXfY/SM3x26x5ZkVOIEu1qG0chm5hSU5MJjW6M/hy3BjkHd8TB7JDD0S5/+MEfsfr+OjujHW7evc2dncfMZwlKNiGkmmcBqcr+2SiaTCwahVhTGOVALTABiBaUVc1oOqMVtVjdXKIwBYtZzLzK8Y1Hr+0TJxV1UaEKW2D5oSAauvjSwrR1rajqmqoQ1his55O5FUlVkk4qej1Je7WFaLfRjiV1ei2PaOCQZrYvIB0DwqAR5EowijWT2FD9is69RtsNUlcGr2MVMjR88lN5c2dDMlhzziSWjgd5AzufG7bY9K2p25oX8JmGLKsYO4YondCVLu/1V+iuX6eMT5jMDkjKjLmuCUOXOC45nuaMFwWPl1JagQ0VFRLabZfLlzukWc1xXNLuughgcjDh8OmCujnkqwyO79UsThYEbWkXfgxeIHEbTkarI/F8j+lJzWxasrzes5tD6HPtnU1cz+HmD8fkU9tCklLQ6kuSE2u2F15yCFuGVl+SxZokURwcpAStgLDTQtWK2aTk5InNjNq8FvDKO2ssLw24PrzMdssWgD2viw6X0TcE2nzKR5/tkSe15SwJOMv7wt4H6dgC1HoBCYwpkTJnf/dTdl894l/95v/A+aVN7l18zId3bnP33hG5azN8ioltXXyd/CSjrMu3s2RRvOODglbbZWMroqo0i6lqSKuCTs8hixV+F/Kq8RCJBFHXbtCW82RQlSFLNesbIb1eYK0gNJyMUvr9kG4/orvSx/Xtct3pt+lMc6omQ0o+R1pWtWY+Kawp4devd+xnNLaNcWo8F/Yl8bEt/A22jdlekWxc9glCh+MDdSYZlhLW1zpcX73MSrTMTX2HPTOlqhVxmeC7Pr7j89uXP6AX9MjrnHvj+7ifP6CQBe2Oy8lRwd5+xp93XH52xUd55RkS0Bt4XNGCRc+wrw1hy0Jx80XGwX58ZtqnKjh5WLM4jvHb8sxmI+oLXE9SK0Or6xC2JJNxRZooPNe2SXzf4cYba0SRy2c/mpLN7ZraajuUA0060lQpLK0E5JmyhNrSkOeKk+Ocfi9hZalLUdZMxznHj2p0DVuv+rx+Y5XNpSUuDs5bAjHQ9loYDN9+9R1cc5MPP35KPKvOFNA03EutDFmtyGNLDnY8QXZK0hUFx8e32BuP+Rfv/y7n3t/g/vkdfnL7PnfdQ6Z76p/EzdkYmE5K/DBkadWnrjV5okmTmm7PBr8WqfWNOy0W/bYgGghMX6AqY5WvzXA9ac0GTRPwbcCRgpWlLv1ey/KfgHYU0O64zKa2TfwC0V9pptPCcuS+5CO+vOAxNOmZ9o/CNbgd6C65rCx1bN5lCousInAMqx1JyxHo0EO1PbKqYpanVErR8azsfNjv0XI9tnTKORlwP0751L/Fm9FFtmihFgUP9w44Hp9wNJ1SlyXCaOpM45SKXECOIKslYaeNjBQiHaNyQ51qtqOA4UaXBz2XVMBiNKOVl7y12iIPSg4zw0FaMz3MqN0M1zO0+wGddojv12RxTVUZev0Ba6sR03nGwSNFf5hzectjaW2VfrSMEA6f//QxntSEgQPKJY5qshl4StBb9hnLHNercbUk7Pq0/ADPF2hHkieCamQfxLG7oLs05sK1S/S6y7SCCIRGCfBbPbYud1le2+DqW3t8/o+fcPvje+SL0iawN60fI+1sNEbgOMaSD0MJHqRZxqPqEY9XnnB59Srb7Yssvb3M9XNX+f6Pf8TO3hFVqTC1LXKEEY0bs4G6geFV848x1iVagSlA1jQkRkOS54ymU7bWltnaXuG4ozCionZqgtCl1XFQdU2W24gMR0IQugSRT9gxth1ZavJScTIvqQXoQJBVEp1LBusB7W4Pwoi0FtSqRCOoSkmRW7+hqja2ABQCg0ueS9L41/S3kLb1srRhs3jmE0WZ22C7qC0JW5ZE5ziCLFMkc3sia3UdfEfSXtrG8SL00X022hG7ccrN4wNku8sqLmVdsLPzMftJyoNpTFzXaGOYzyuyxJKBMVDmCavrIVHLIZ5bx9miUFwbdDm3bHiaZxhjWExzpANvfNAlmyiOT0pmJzXpsSE9sYTMaE0wWJU4rvWHSRY1vYHLxrmA8UnJ3pMJS0nB5rkNNrrrhG8HCEdw6x9GOJ6V4AKEPUE2NrjSoTf0mM1yvAaujiKHIPJxPIeo16LMDOXMLmrHD0v6Swuub1xiO9q03lGnl1tIrg4vsv2tDR68ssP3fvYpt35ySDKpkS7P1iMpMA3kIBwr85YeGGFYTGvu3z3m03N3eGPrOhfWN1le6vPWlRH/+Yc/Zed2+gzh+ZrjeUVZlmhOjnK2ttucO9/iOMga9M8qlpKuoipr67uUN4Vqzyafq9pe+zzVpAvN2CsbhYogy2qq0uD7Dr3VPo73bKk2xnrULCbWCK/fbw46zahr22YRL1/dXzoEEA0FK+ctN8MGUFp0obvi2L3AkwSBJAid5zZeges4rEardLwWW/11HvcOmM5SPnp8myubW6y0lsjqnAfjJ+ycHLJ/NKOq7bxMFlZdpmrDrKh5rGGwZAurPFcUucLB4S3psvzKkIOpdV8+PLRt2leuh9QzzUGiWUwsWTprHKlbS9bItdN1GR3bhPrltYDlFZ/JuOTegxOWlkIubW5wbrDC4EYf6Tzi4x+McTzbQu0qmHcVxdy2kocrvr02SW2RzoFPpx0ipbBoUWajbQxw/LhiOIx5Z/tV1qKVF8RGAsFmb5X/6Te+zXtXD/nbn3zCpz87Ik7qM78o3RT9opkDQto2Y9Cxh5ZCae7cP+LW5kNe37zC+eV1Vn6zxxuXR/zH73/E3t3snyQzrCqt2my47LO2ETIZlbagNBC1XdygorMumO003jnNwdB1BUEoUZFBafu1yaikN/AQjV1DlinOX+gy7Ld5gewjGjPexneuLBV1bV20tdbUtWZxYO0NXja+9JGw+A5WkdUCvy8ZLHdZWx4gjCITmsAXXOq3abuGzHPIHZ9pkTArM3AVkRBEQpDogpKajnAJcLnkL3EwyjhwjsgXMduzDpyUlElB3Rh0UYN0PaYGFrWirJUN7stLhDPhpKswnmFvBumJYWNYE24KMsfKfBfHMVuV5mqgWb3QRXS7PBwnfO/RlMO0puM6tByBLDPquKIqFJqAQPYJ2z6GOdPDnG7YYXN5m0FvgC73uf7GVfKiYHa8jxMJnNrQX/UJIoWvJIO2h5QuRycxKjVM8pxhHuALj9woCl0jXDEy3C0AAQAASURBVINZQHqc8vjOfeJywhtv3uDK1ddYW9rEc21mjCsl/iCi1e2xtLHKhVev8dk/fEJ8OGF6PGORFLY6dsBI24mstMXqpSfAhcKN+fdP/4pzqze58errvPfe21xYPkfXW+L/8+f/nuPRCZw6gcrn7n7jffG8M/Np0Kn9mrAgoAMGzTSe0Yp81peHuK0VFuWYutC4ShMFDqlnGe124koc1+CGDsKRGCPIForFKOPgOOdkmuN4krrQRKHL+jkPP2xhPA+pagzW2HE+qZkfWxVINlDUlUabGscJcD3H+qFUX5HB+QuG14bhlsvWuVbT+kjxfMG5Cy38wELsUsB0VpAuVOOoKwhCQa4VWkjbygSuDzo8nSfs7s6IOznLgc80K5lmJWWlULVBOjZbLVtokmnTQ9eG+FizmNj5DzA+qjjemfBwM2HrXAshrSx2Oi1xXcHF9RZvXevZhfB4wd/+dMR8VBN0BVHnGXkwadxdo8il27Vk4/FxTqcX8srSFc61tvhIf8rFV1bJ04qTg4Ru12c2K+iuOsgGbQwDB/oh02mO1oaiUGRpQUcb6rKmqpSdW7UlhD76fEaW/oSTt6a8c+E1VqNl5HO9wtAJuLF2jUt/sM0nr97l+z+6yfFewvSwoEzMz1WxzwjQCEvAzk5K/tejH7J94SYfvH2N966+xsalNQI34P9x8LeU8+fM7r7GeP7XGmOYjCra3YLhIGTrXJv5vCQvakRh+S3SEWfIlJTPEBnHtbEQnu8wPqqZnFTMJ1bWXxWGoCVY3wTpPiMUaaWJpzGzaUk611bqPqypywo/8pFS4Lry1w5elR4MNlzWNyOEEOzUMcEFyfKqjx9Iy+UzmjxT5PmzX+Y4grK2OVt4LXzHp99rcXQcM52nfJY/wveeUhQ187ldt/LM5vq5rqTIFcXCNL43mvhIs9ioz5DV0UHJXxWwtOFxfhqTN9Yb00lBq+3wnuPwz3H4/JWIfxCK738+b+a8pNWXqNqGvmptn1HftyinwefoIKPTCbjUv8B6e40nYofLlxZkec3xUYoUglbHobfmkLdsW6vXiZBCoA8NeWoRnuEgoxX61LWiKKszRVs20zz4fM6/TX/Ib7xxhTe3X2EQdV8o9l3hcGl5i80/WuH2jUf8zT/eYjJOGR8WqObgczr9jLJRD/nUnM15IRX/6/GPOHfhNr/x1jVunL/EOxeWCJyA/+foe0wOfrU5//MjXtSEkcP6esemATRtTWEssFEV5lkcERBEDiurdn6eBoJmqWJ2UjMf1zieQJUGP5TPeqbPjSQtiOc18ZGlF+TL6kxx5roOriPPWtMvGy8veFzANA+rIxCOXdgjKRgGPlJq4sxHdkLakcdg2KfdabEfx+hxRsf4tJ2Qvtei3ZYMBw61Z3DCAOIA14RcCre4kx4yChLmImHFb7EWrTAMIxxP0un2WN88R2kks8mYNC6Yzqfsn+yzV88olc1JmhSCRWaoVwUDX4EwTCcJybwkjTUHIsXVmvXA4/V+RPei4tE0wW+3uXZhndqpeJLOeTBekHoBYRACAa6o6HZcLm5fIoq6GFWz9/QhQWeZN9+5weMHJY6TIhQ4tcEVhtkMqvspG1dCnM0ek6OYqhQcjzOUL8kyQ5wowp4kyRQmF+RHNdPWEfeeThnHt7i4/QYXtt9j0F3H9RwMGnDoLa1x7f0O65c2mD095tPv/oy7nz4kSa2c2giLwOjSFovaMeBCLRRHoynj3ZhH9w9IFhn/l3/5P/K776xz+OCIvzr5LtMktkVMk8AuhC2gvgD5y0bJIy28LerTXBNDWdeMplPaUUB30EaJglm6QChDK3BJAknmW6O1MjWUaY3XtSnRRgicQmKwyqEqAXRlja/WBUa6aCnPFBVSSMrUqnqq2DSKpYqqqlCmxPE8On2XTstBnfzqaZTSEQSBxPftxtPtezhSMOj6rLbaVF2f0ckMubCnlcCXdPyAVuQybNt2luNHCMfFdTy2V3rsHS84mWSckOF7DqvdFsNWBykkw3aPc6uboAzjue3jH02n3N875iROqRKLaqSxIRsZwrY6q0Xns4LpqMZ14fbhDA/B670eH2wNGXR9fvp0Qr/l8cpKD41gL054aBYobL6Q/bzQX/K5cGGL9XCVUhfsHu0hQ4drb67Tah/je4IkKYk6NuB2Ma9QtWFzq8XyUsRkmlMrzcnhwnou5ZYoH/StWR8NYjAKcj7x7nI8PeTa9mVeW7tOP+i9cP1bbsRvXniLVzYu8nC6w99870Pu/OP8rGV3Nswz9OXUJmCW1sz2x9y/+WNGfxLzL377O7xx7hq/+zuH/MW/+4ziK5rzPT90g3qe1mZ1aVtbYehaQ7u29cHJ8xopIWxJct9QpzY9Ok817d6zwk4089loyOcGlWtUAc55B8d1vpADV1WaZKHIR9beIEsUVWE3MuFIOj2fsJ+SHP/qsKYQEISS4aCNAGb9As8XtNs+K8MerZbPwfGULEkIAocotEZ+g0FIu+2hGic9Vzp0o4itjQHjSUxZ1ZSVhSq21odEvo/EYandZ7U3RNWGeZaQ5DnjWczDp0fM04y6QbCKhSGbGFodTZpbY5YsUeS5Nez8cChZHki+8zjhTc/h2sUWf71dESwHvHH5EkVZcjCesLM3sUrMpg3t+5Ju3+PV89ustJapdMWt/Qc4Prz56iZ3ggNODc3cQOAZwWxaUtcLVlYDNrdaTCaFRabmqU28z6wdgxcJy3/DRpGcBDmftB/yeLTPK5sXeH3jGh2//QLiEzg+b517havr59iZ7/FX//gxt/5h9gsDTk3zr7M5f1QzPxpz79aP+cM/mPFnv/lNXt++yLd/65D/+B8/p/xVWlumUbCeqjM1TMcl7XbBynKXk/GcsrTrUn/o2VafLyhr69VVZvrUBxenQXriWc3iQFuxTINiDbbFL8g9tLy0eFqTzw1CGrINq+SKQh8phBVZLGXM938NhMfxbN8QGt8FgMpAXiCKhFbX4+JGH9+PuLx9keH6OvtpjDg6ZCno4Bo4N+zz6rlr9ActWh1Y6fQJNSRxxrlrJWlZ89Hebf7qwfeZdGLUsMWrl97jcm+LbhjghxHCDUizkiSJKdPURiKEkn/zo//C3t07CG09W3AFZtmHyKGqa8ZHKVVsmFawF7oooZnNp7S0oe84vLvRxoRdXjt/iQvba6Qq57PHd7l5uM+jPGYvy6hUzcaFdc5vXMR3QpL4kCSekJSGV66/hqgvcnK8y8LMUWjaHRdPSUwJjhL02gHeukRVJUWVc7Qbs/dYMT8BUWmEKzGVRs8lxQjSaUUQjLi/+32Opjtc2niPrY2L9NpDPBwMJdJzkEsroATdtQGu51puzaly7DlURhhASFswGUNtKibFhL/72x/Qb3X4vd/5Ft96/33SJOaHP/mQ2Sy29Y3TuBVqYRGdU6hPAvI5f45aYEobW4FvbL5YkXE8HRGG64Rel7lJWCQlAy+i1/Yo+obFQlHMNemRwPMrnAE4vouLRgqN1hqTgSkNfigYrrRo9XvopqfhOA5UDtNxatVfAoQwjXJFAxrHg86yR2vJYTH71QseVRqK3PpLrAUBK1shLdfjxsZ1lgabnJQTfubdp9Nt4UvJa/4S25s3kI7l1DiuhxAOy5d/k6HRvILhweFD/tMnPyFJSnq9kD96/1ts9rbtw97spEYrttYVRlWWnK1K/vef/B0/+vEOxljSreNa3xuAutIcHxZUhaYubX//znjBcVXSdVyudNr8y1e3MMDS0jnaK5eoipjdvTvcHx9xWOUcjTLKUrF1bol3N24QOD7jYsp8FiMSh6sXLyIuwvhwBFjn4OGqa+X5xmCkJOq4OK6kqqyR4t6TGce7JfMD9UJchMot0pMMahaLjNtP7rI72ef1c69ysXeOlhud3QOBYOj3YQAfr93G8RfUX3XhNlDMNX/9l5/TDQO+8+4H/MkH3yQrSr7713fJZ1/e+3/h5ZT1W/Ja4iy6IF1oRsc5m9uts/ynolBICa2uJB9oqsQGws6P7WYQhM+UKlJClWKLQW3T2YerHt1B68W5WNXMJgV5rG1ch2tRptOWlhCC7iCk3XVIx7/6nNfKkqnni4z1lR4XLw4J3YA3Nq+z0lpiXi5w5F0GvRZCCC4vnedC7xxSSAwGX9qdcSkc8sH6e+g1ze70kL+/8yFVXdOOAn73tfdZiZabNk0jhsBQayvFEAiK90r+4mc/4Gc3d89O8MKBzsBp3qdhOikxCmpjGM0qvrsV8eFQsp5p/vRQ81bo8Um/z8Xt14jckEKVPJ485fODB8zihNmsIEsUVy4vc2P9FVzhMCsTZklMUHp8cP0dXMfh0f4ho7H1pAlDx7YllabTDl/0hKlrjk9int7NmR2oF1AH3aCbi3mF5ws+fnyPvekR7118nY3OGsGp3wOc8Xu2e5ssLd9FuvMXIhpeNgxQJJq/+Zt79KI2v/XGa/zhu++R5gXf/94j8oX+OlPeqrVTg99+VoxUpeHkOCcKPVphQBInTMcVq+sB7a5LMayoMutjtDhWuH7B0op/1g4XsuEmYe+r40F/xWXQj1743WVZMx5npDO7BgtjaaZV9ayN2u+HdJZi0smvUfD4HijHpmwbxxrTqdKQJyVZVrG00ieM2vT7S3QGSxC0IM9p4dD1BxwcjBgVGfUa9LwhXdfDc7tUdcWirtmbTjkczUkm4E8jjJcw7s/4aHyL1BhaJxGlKZgnMSd7c6o4o+vnrC4PeP+b36TX7SOQCGyjsLvi4S85IGFxkpFODCIHr+uyeWWLzbUuaTLnyeNDxLhgqxRsuh5xPCPV25xbWWM9CnhjZcine4f81b1dPs/AVedwtIcjfRzHo9+N2BtNOT46wSlC4iODox2GnRbdIMRB4fqKbq9HRk4rdGj1OywWgoMHCdmxRpS2teOFAtf1cENrGDcwIUNHkpUTMp7wcHfMPD7H+uBVfLGMMVYVVVQ14/1jxuMpWVmjS4mp9bNTwguwe9NItV0ujIbxaMb//u//gs/ufc4bb7zK+x+8zXC1z3/5/j9wMhtBaE/hdWqs6WLD0scB4QvrFdIoTVRqEMpyFmojyPOapIiZxBHLgyG9qMfi+IQkr1hd66NNRrFYkB0a0kONrnKynnVOrpVAzRTMwKQGaSStFYfBWoQbBlRa4AiB1A7FrGS+n1PNDSiJkTZew2iJ1hLhO7SGLdobEbPxrw7lqgKyWFPmisuDNl3Pw5ceg/46MmiDSelKh20v5LPpjD1vwtaGwjvNFGiGdH3yeMRJNiVL5jhYi/U4KfjRzk2ury4IjMQYwzTPODg8JlMlHanZGizxxvXfoNt+MeOgvSLp9G00xGRSkCysR0pv6PD6xQFvdLscViUfH054eLzg8rDDW0t9qmwGQNhd5fLVHutLuxwcP+Zv4l0enSS4rsRptNlSCNp9G8Z7MhuhtSaOLZE0ilx63eDMTma41iePc3vSW+0xHy14cDBncaSos2Zzb5LU/UjS6juEUUjUDsEokjjmw3s/Y2dtjwvDbbpO58xJuNIV908eMz6Ov7RX/4tGPtf823/7Mz6594RvvHudP3j/PZb7Pf7iP33E7LjC8exnqFNeXgA1z0XYEwxWnLMYhyxTJElFrxvQ6XhMxxWuK9jYihBY/6V8bFG5k7om7Aq8UJwhO/nEnKGpYc9aDISdF1PMF5OE8XFx9r1GQVUZ1HMcns6ww3BlzuIlarMvG0ZBMrO0gCDwiKKAjdYa6+0VPMcjqRJLXI8CRuOYPXHChd65FzZssIVMpStmWUxcpBSZJklroOBHjz7h2voFWk6LWium6Zy9kwnzNCFoCTaGS3zj/Nu0g2cboFbQW3PoDuzWlcTKpp2fGFYuubz66jKrKx3SrOTO/pSbw5J3Nbz/aM70/CHRykVCJ+CVlats9zd4PH3K33/8GeO0PAt0BXCkQ6/T4mg04+7xIyvxXtiQ16VVnzBqCM6ey7DfJs1KhoM2/W6L49Gcp/fHzA4aNWXTbsKAF0g6A4fAs0VCXpSM5gv+7vOfcmFzjfODLTpu27rdY13vH092OTqKz8CHrzOyWPFv//wjPnnwmPdvXOKP3n+PtaUBf/HXnzA7su2259Ghl40qMeglmwPpuBa1TeOayTRjOIwIQwdjSqbjkuXVwJoOzq2KK58axsoqmYOWpK4M2VS/0HoNe5Kl1ZAofHEOzeOc8XFB8Vx0xc9fi343YrgcsBj9Gk7LjhQY20FANa01VRuy0hAXmlFq6HcCRnnG5GQHkZ6QpwmRUsTjjDufP8ALJC3X4eDRU1Ro6K302RysETou08kJP/7phzx8fMysSKn6BnWx5HNzh7s7e2THBqErshTSpzUrnuGNDYfsJGJRZzyajdGVQQbQakmWzgW4LVC6YnSSUxcGR4HXdmmthrTXI1wDR8TcPJlw92nK9UXJ1VqQaZDXr3F+fY1rvTUCf4dbj6fcPpgwPZlxdHREu3+ZMBoyGAzZPZ5w7+Fn9Lw2Ukv8ukW/5yPCEkLbW0/VAtd3qLXLIqvZfZAy3a9RmYW51zeGXDy3wfLKEu1uhA4KtCwoq5hHhyVGZhiV4JgZ09Ej7v30E+KpBuFhdEU6T5gcj8mTwp4iGt8knKYtddrvVfBiBQS6NsxmC3526yZ3nj7itUtX+Rf//I8ZrPT5d9/7d1TOjKoUzI8UZYVVaQnAtVlYCKzaShlULCgmmrAjafUDwtChLGrm6YLIC2lFXXrdhPlxhlEhvV7EaFiQzwrqhSHZ15ZM61TWo6QEUxirCgsNUdcl6AZIKamVRmgJsYK5ROauDfZSBi2hLKGsFbVy8KUiaEW4LZ86+NU5PEZDkWripOKjdMHW5jI+CjP9FOH4xKZgu9CMFymf/eyEe4Fk6H3IVn+FRClanT7DwXmE45Jnc/724x9z8/6MfKbxWgKzAp/fecqdu3ssppbHU2aaxb4i6EnOvx7weLFgUhU8PRjbsFUsYXhly/Ju6towOioxylDODf6mpNdrMXR9ZOjzKM/5/JMxj2/nPLyS8P7FjFfNhyxtv4kX9eisXuFie4mVozG38wWj45g7swf85uq7dL0OS/0lDnfHzO7u0e+H0Lj/Pm8wCJDOEhzPxRhDMk3Y300Y79VUifWdWb8cce7CMlfWt/BagqmYAQZV1Rw9HSEFCKkpqXi42OHhzX3ihmtjjGExrhjvVi8oPb7OKFPNrR+PeHB7zNU37vJ//Wd/wtK/6vK//fXfo42NOkmONOX85a9TJdjE9J5FIHtLtjiM44rAt7Em3Z7L6MjGXSwvB0xPaoqZFQfkI1vgnG6EL2SFSWj1Je1ugOM+R1bWhjIrrXy+sdnXyrbUVKXOOHae7xG2vBesE77uMFhX4TyvWcQZ/V6bw/SYcTGh5baIy9jyb/KKj396TNAaEfguw3YXISRL4YCVcMXmNtUlf3Pzx9x/MGF+oPC71oBSMOL+42NmjX9KERumewq/JbjydsQ0XpDkGU8OT86uTdiVnLseIh1rELiYV2cp7Z4v6XQCHMeh24nodXM+vZfwYFbywwuKK3t3uOEorg0uI4Wk47V5deUat/o77DyOOTxa8Hh7hzdWXqPlttgYrPD/Y++/oyxJz/s+/PNWrptD5zgzOxtnI7Ag0hKBBJgBMYg0KVGkRB1bPiZli8e2fCjZOtbPlGgFiwoUFSyKCqRoJjEHgAAIgiCwSLvAhtk0qadz982hctX7++O9fbt7uqdnNoCLBft7Tp+Z7nurblXdt+p93uf5Pt/vbqvHM9cu47oWcqR67+aUSOpemc3zI/I5m6Ef0uoMWLnWpTkSbDRtwfxdLucWp5ivTlIp52glu6RaQpykrK431bM0y4iziJXOdV66vEu7EeHkVEdltxnT3ohVR+ErQBRkPPdEk8vPt7jw8Brf/Z6vpfxteX7tjz6jsmkZ9NbTWxKa00SJTlozOpWapcp3nZhOK8a2dSxLp1gy6bYj4jijVDbpVhPCQapax/tSuaiLfdHHPQjUmC8W7X1bib3jj5N9WyvU8zjys5FWjxr0lmngOsqT6yQIKV9+1HiKU5ziFKc4xSlO8UbCq1gDnOIUpzjFKU5xilO8MXAa8JziFKc4xSlOcYqvepwGPKc4xSlOcYpTnOKrHqcBzylOcYpTnOIUp/iqx2nAc4pTnOIUpzjFKb7qcRrwnOIUpzjFKU5xiq96nAY8X2EQQpwRQkghxKOv97Gc4hR/Gjgd86f4s4bTMf/64DTguQWEELNCiP8ohNgVQgRCiItCiHe/3sd1ilN8uSGE+Fujh/JPvd7HcopTfLkghPgxIcTnhBC90XP+t4QQ97/ex3WK1x6nAc8JEEJUgD9BCUF+K3Av8NeBndfxsG4JIYR163ed4hQ3hxDibcB/Czz1eh/L7eB0zJ/iVeA9wE8D7wC+DqUr/xEhRO31PKhb4XTMv3ycBjwn428Cm1LKH5BSflZKeVVK+VEp5XMnbSSEeJsQ4mNCiKEQoiuE+KgQYm70mi2E+KdCiO1RxuhxIcRjt9jfu4QQnxm9f1sI8ZMHB7sQ4uNCiH8lhPjHQohdVJCGEOKvCSFeHG23K4T4kBDiRDuRU5xCCFEGfh74q0D7Nrc5HfOneENCSvmNUsqflVI+I6V8GvhLwCTwzpO2Ox3zbzycBjwn49uBzwghflEIsSOE+KIQ4keEOOJfP4YQ4iHgD4FLqBvmbcAvse9b9g+B/wb4IeAR4Gng94UQszfZ3zzwe8CTo/f/VeD7gJ+44a3fj8pEfS3wA6Pa8L8E/i5wN/A+4Pdf1tmf4s8q/i3wK1LKj93Om0/H/Cm+ylBEzY03DfZPx/wbFFLK05+b/ADB6OcnUIPwrwAD4EdO2Obngcdv8loeiIAfOPA3HbgM/Pjo9zMoR7RHR7//PdRNpR3Y5i8DIZAb/f5x4KkbPus7gS5QfL2v4+nPG+cHVcb6AmCNfv848FO32OZ0zJ/+fNX8oAKXJwH9hPecjvk34M9phudkaMATUsofk1I+KaX8WeCfAz98wjaPAB+9yWt3ACajVCSAlDIFPg3cd5Nt7gU+LaXMDvztk4AFnD/wty/csN0fACvAVSHEzwshflAIUTzhuE/xZxxCiLuBvw/8RSnlLbyTD+F0zJ/iqwJCiH8CPAZ812ic3gynY/4NiNOA52RsAhdv+NtzwNIJ29y03HXgteMs6m9mWy9OeO3g34eHXpCyD7wJ+B7gOvBjwPN7NeZTnOIYvB2YAJ4RQiRCiAR4N/A/jH63b7Ld6Zg/xRseQoifRJWRvk5KeeVWb7+N107H/FcYTgOek/EnqLroQdyFiqhvhidQTP/jcAmV6hyT14QQOmqiuTGw2sNF4O1CiIPf1WOj/Vw+4TiQUiZSyo9JKX8MeBCVav22k7Y5xZ9p/DrwAPDwgZ/PA//f6P83y/qcjvlTvKEhhPhnwF9ABTvP38Ymp2P+DYhTJvfJ+EngU0KIvw38IiqN+T8Cf+uEbf4R8LgQ4t+iyGQBimD2YSnldSHEvwL+byFEA7gK/CgwjWqLPA4/DfwN4KdHN+U54P9G8Sq8mx2EEOLbUKnVTwAt4L0oMt6JHWan+LMLKWUH6Bz8mxBiCLSklM+csOnpmD/FGxZCiH+J6sz6dqAthJgZvTSQUg5ustnpmH8j4vUmEX2l/6D0d76EGtAvogIecYttHkMNQB81gXwEmB29ZgP/FNhGEdIeBx47sO0ZDpDZRn97F/CZ0fu3UYGYfeD1j3MDsXR0DH8INEfH8QzwV17v63n688b6OW5s3eR9p2P+9OcN+TMae8f9/J+32O50zL/BfsToop3iFKc4xSlOcYpTfNXilMNzilOc4hSnOMUpvupxGvCc4hSnOMUpTnGKr3qcBjynOMUpTnGKU5ziqx6nAc8pTnGKU5ziFKf4qseJbenuOe0wo/kYaSShwcydFmfPVwiCmKmpIntOUwLBfHmOO+vnOWg/FSYhn175LM+/uEUcnSRmCUkM25dj0kgyc87mW973MPdOK2mcQTjg1/7k4zzzeBspJUv35XAKgjBI0HUNBPRbCa21BE2H0pROHEjiSJIEkjiUHNS1rM4bFOs3jwG7Oynd7XT/GgiYXDZxS+rcvG5GYyU58XwAdEvw4JtKfM/Di7j1CySahTygYyWl5PPrT5BkMW9ZeBRDM/Aij0u713jh6horVzp0WxFCQH3RYGauQL2eR9MEWSYZDEI2N/pIKbEsnSBI9hj9tNZTBs2bX3OhCWbOGyzfUaFadWk0hsRRSrXq8sLFJpsvRYeu2esFoQumzxlYrkBK8HsZnc2UiTMGbkFnZqZIoWAjhCAM1Xfy+/9k/SSxMAAK9+i3xeKvzpjMnlE6fOenp7hzevqW21zZ2eGFrW3iKENmEHgZ29dCJHDuwRyGoQ6vvR2zeTUEYHLe4lvffTf1QgGANMv46Bdf5JkvtJHA0j0uhbI+/gwpJWsvhfRb6px1A3RDkCaQJkdPzclpLF9w0XUx2h6iICOOMravRYT+0S+7OmUyc84mTSRXn/aIw1tfMsMUPPBwnbfet0TePl6/8Nn1deqFAjPl8t7ZsNZq8/zVBmurA/rdiDSFxbsdckX92H0chAQiP+PqMx7ZyY8ZJhctJuctZsoltnq98T3e2orZuhbe8rNeT9iuxpn71XeonrOSvV6Uz/6H7i3H/B3vy7+qzhXTgG9/p81f/gYX48CM8nMfCfjPfxC8on0uT2v88x8u4tiC3/hUyE//pn9zWb6vYBRcwf/83TneccE88trAl/zwP+8TJZJ/8zdKlPKCF9dS/uOHfS6upHihfEOe8+uNyx8Z3nTMv2odHikhSyStlocQgizLVLABFO0id9TOHQp2AIQQaEJDE/sPYiEgDiROQUM78CwbtlPSSIKAOMroemoiF0Jg6iaFooVmqIk6JcEb6VBOTLhUqi47uQF2LgChPoPRs1RmEIdy/LCOA8mgmWKY4JaOD3ri4IYBKKG3m2IXDDQNTFsgNE4MCHRT8MDDRb7/QgG9di9OuMuLvSZNaTFVmCBnuupc05gkS4iSCMMyyFk5Hpy/j3tn7qT9UJetdoP2sEer16PT79Pvt5mZKbKz3cfz4nGA4/uZ6rHMQNcFuZLGsJ3e9BilVNfE9yKqVZdaLYcQEIYpSbT/IH3Z2AuCNYGdF2SJJPJf2Q0tNChOaFiuGj/tjYSgL6nM6tiuxvRUgUrFHb8/lzv6sHkt0egPWKhWcS3rxPfZpkmWSdZeDAi9DCnV/ZMr6eOAI00lre14vE3gZ3hRRH30u64J8q6F0NT36eQ04liSRBluXkfXNebvcBhOqoDHyWnopiBNJP4go99KGHRShIb6Xv2M7ZWQqUUbwxQIoSZQ29XQzglWnvOPjJVeK6Y6a+K4GpVJk921k10oNA3uva/G1z54hkoOhiH0fJ8oTajm8uiaAASZlOz2+8yUS6gBI1io1ZivVgkeiGn2hzR7HpGM6AUBUXJ0cRGHGWmqgrZ+O6FUM6jNmDTW4yPvPYhgODpJIbANQwXKcUIUfAVE9ydACJhcsNB1QTnncs/sDEGcsNXt0hwMb72D1wB3Lhj84A3BDsBcXTtZP/gENLqS9kAyawsWJvRXupvXFQVX8De+K8fb7zNJUviVTwSs7mY8eNZgeVqn0cvoe5Ikk6w3M0p5nbsWdP7uDxbYbGVcvJbw1NWE6zsp2+2M3vBVPH9PAbzcgOcmQtmhl+ENI4QQ9LoB5YqLpgkkxz8sTM3EMW0MQ6O1lhAMMhACpyBwy/vBhszA70nsgkaxpuGWNLzYJ8kSTF1NYpomsHMCu6ChadBvZsS+pFJJMU2dufkSlq3Tbvm4OZNCQa0uWy0PocVYrkDXNYQm8Acp/WaKlBluUUPcEPc4BQ2/lx2aAEIvI/IkTkGgmwLdECTR8aNSNwX3PJDnL99rUi0tsKvZPD0M+cOnLxMnkkrFoVBwEAikyLBtg4s7z1HPVakZOrpdxzIspooTTBUnAEiyhJbX5tL2NQZxnzjOOCg1EPmS7o4KGpcv5Ji9O8ew22LYusmSV6qsWhCqrJCmqYk4ihKiGwO+24DQIFfWyJXVNdZNMCyBzKBxPSHov8wJRUB1ziBf1ZASOlspXidD0wVOQaNYsqlU3Vvv51UiiVQgKYCO5/H45SvcOT3FfK2KuInqvGOaxKEk9DKy/fmV+pw5zor2Wwmhp150chr5kk4/OLxKNi0N3RAUKga6Kdi6EjLoJCxfcLmwPEsYx1zXW4e20SyBWdMoVg2V6Rl9Xq+RsLMa4vczarMmpboxDr50Q6DrgiQ7/KWnCfR2Y5wl+5aZFk2Dc3eVeMdDS+QsHcOI6XcDPvnMFaIsYaqeJ2fZOKbBTq+PRHIunMTUdTIpsQwdTQhcy2KhbrFQryKR+FHEVrfHervDYHR9skyy+mJA6O/fo8WqQX3OYthN8Qc3H2tRkJFlkjCOuTA3RzmX4/PXrhGHN9V8OxGGKXDyasJ3cjpuUcMfZDTWo9d05s6XdYo1g3LO5ZGlpXHQXbBtmoNbuSO8NtBvsp4u57VXHKj4kWS7nTF7Qsb9KxkFV/A3vjPHY/ebCOAPvxjxcx8JiBP46BMRmjZKFoyG5L/4NY93PWhydkZnfkKnnBe8/80W3/CoRZpCZ5jx+HMxv/GpkOs72Rsv+vsKwckBz4HRarkCK6fhdTKy9PDVDocSJlV2YHOzT6cbMDVVQDDkSusqy9UlLP3w6tfQ9PFkqh5OEqegH5oqhAb1RR3DEpiWTrnsoBtiPKEnWYIXRFTnDDRd7WfYzkgTSRypkSSEwHUtwnzK/HxpnG0qFCyuXmmRJBkLC2XcnMlgELGV7+P1E/qNlFxVxziQHMhXNUzHZNBM8XoSmaoAoLeTYuUMhMah7NRB2DmNNz9c4PvuMjnjGFxxFzE7T/P559e49pyHndMIw5idncHouGFurowQsNFs0O0GaOg4tsX8xCTLk7NM5OuYuslUYZKJfJ2LO8/T7njsbKt9pAk0VhKSSI5W9BrlisPsssvl7lAd/41fuQZ2TmDoGgftYrJMEh1T3rgV8jWd6qzODUk+hA5uUXvZAY/pCBU8CZWh87pqe9MV2K6mxt2NH/YKIYS6HseVQ0Jfff9i9LQP4phnNzaI05QzkxPHBj22YRz5e76sj0tSmZR0dhMMUzC1ZFGqGWg3zCZZJgniCLegMzFvEocZvXZClkiSSOKYBpZ+8yBECDUZA9imQW7BxLQFu6sRW1dDOjsx9TmLYtXAcjUW73ZobEQMu+mh69DeTShUDQbdm5dwbVfjvvtqvO2BZeoFjSiBZs/giZeu8tIzfXVt75I4eZ8slaSJxLI1rrdaNAcDhn6EKQxKeYdq3mW2WiZnWQgEOcvm3OQkk8UCn7p0mSxTq980lkcyUpalM7FgsfpCcNOJolgz0DRBmkkmS0X1Pcnjy4C3gmkJFu9xsHOHn2f5kmTQTvazSS8DhqWCz4MlRiGgNmOi64I7p6cPZRi3ul2S9E8nO/X8asJ/+LDPn/9ah3JeoI1ilKIrMHSIb13lPwIpVdAD0Blkb6j5faam8d9/m8vb7lMLmUvrKf/+9/3xdZAS0hueKZc3Ui5vpCrDakEpp3HnvM47L5g8erdJvaTxbW+zeex+i//r54Y8c/UVXNRTnBzwTJ4x8ToZcZAxecYkVzBobka01pNDD440Vg8bIVTQ4w0jVq93mJktIlljZ7DDTHGGs7UzaKO0SSpVBsNyBX5PTVi58tFo3rQFtm2wsFjBcQy0A5PZIBziB9E4yJCMyh11HdtVfxwMItbWOmSZpFCwxqUOw9CxLJ0kzdANDV3XKJcdNE2wvtZFM8RRvpJQwYCVMyj6kvZGSuhlxJEkS8CwwHQ1Iv/AaBYwMW3zjY8W+dbplJqe0DfqSJnx1M4OL1zs4nUy/J76sFxZI40lmiHodn1KZQcpobHt01pPyFK4WGgwMXOF5eUa52eXWKjOkcqEIArx/f0bQTOgMqvT21UlLJllCCGYmsuxteIzOCbLY9hqZVodlbL2EMc3L4PdFALyFe1IsHPw9ZcL290vecaBRI6yD05eUCzZ2Parq9LmyzrBUGXJZs86uEWNxlpEZ/fwAyaNMtJUHgpIskzy4vY2fhxzZmKC3A0lrkxKVS7KqdW+rkN9zhoHaGmsOCdz551DvJyD+wmThDBNmD1roxuCbiMmjSVOXsPJa6w22wzCYJx9Og4SMHWdR8+cQdc0nnXWyZUG7K5GtLdj1i8FzJ2zKU2YuAWdhTtdQj+jtRnRaSTjQKC9HWO52ogjdPhmqdZt3v32Jc7MVLEMjbMzbV7aqHC92eK5iy2SWL3/+vMB+bJO6GUIYPmCy/VmEyklqy8FDLsJmiawXI3JaYczixXOzUxQdG2QMAjDQ2l+09FAZONStRCQphn5kk6+pDPsHh3zmgbluho3jmmgCY0oSQiihPgm2dqTkK/oOLnjg84bF4u3vc+SjmEeDngsVyNX0pkqlZgYcbwU1Gfo2p9OdiRO4Fc/EfKxJyO+/hGLv/B1DjlH0PclyS24UyfBHgXmq7uvbUZDzVOv3f72YBrwNfeY/NA3uSxMjua5FH7x4wGt3u19oJQQhBCEGTvtjE89GzNd1XjsAZO33Wsy8CXtEzKVpzgZJ5OWiwK3qJOlOvOLJcplB9Po0d3uk8b7X2CWqeyKOHCPp2nG5kaPIEiYmMhzPVulYOWZLipyp5SSIExwihr9ZkZt3sC0NWQmuVH9eWIyj+OoQzV1E13TkVKy3d8ljvfvKE2DyTOGWv1HKY3dIc2mRzp6yGxv9XEcE8cxyLKMKE4JhxmddoDrmiyWFwjzIbZp0GgN6XZ8suzoQBWojNfkWYPIk1iuxtJyGc+PSZMh4TAjCSWGJVi+q8Q3vfNh7i9ZVLpfACAXt5DNL/H51SG9EYFYZpL2ZkIS6RRqGpoBYZSSphmua6ILjXCoUvWRl9FvJKxd8nl2apvp+Ty6AUMvJDxAAheoAMotaeiaxsSUCmKKRZvZcy4b+ASDTH2Xcu8aCgxTJ58/PFnvZcxeLpJIYueOTr1ZBuErWOkeLDN6XfUg1E1Boa4f4u28Uizd6xIMU1XimbIoug4yG9BrJuP0M4xWaQmY1v7vIMkyWGk02ep2uXtmhvlqhb3QYxCGpFmGYanf6/MW+dL+TaNpUJ02yRXVSQoBk8XSaB8Kbc8jyVL0EcHZLerkSjrlCZWh6HgecZTRaybUZq0jQU+WSravR8wtuZiGjmtaPLCwwLPaBro+oFg1GHQSGhsxIChPqPvJyWnMnLMRmqDXiKnNWtTnTDVeDDEmWQsBZ8+VeO9bz3BhWVJwelzarPDSRoVBkHLxyg5eb3+MprGk10iwHIE7uhZZJrFNA8sR9JqQIomjlGF3yNo1jy8Wd5iec3HyOgkJcm+C1wVL9zhkGQy7arWcHwWOmqayZltXQwLvcFlaaGJ8PfeChCRLSdL0FU2McSjJsv1y8B78QfaKMkYAw97RyKFYM7BMnbump2/IagoWqlWut1pHtvlyQUpo9SS/8gk1Dv7KN766e1HTwDKg70kef+5k/tXLga7DX/1ml9WdlD/4QvSqArKDKOYEP/RNLt/wZusQl+m56wmfff6VH7+UsNXK+JU/Cvn1PwnJMg49h/6sQtPgkfMGT7yUvKx79LaWw5atUSza6LpGqWxj2APSWKKbguU7ytSmHKQZ0esF444YUA+uZmPIYBAyNVXgBfESlmFTsoukaUrgJXS3U/JVxVWYmy+ztdUnOrAPTdNw3f26Ui1XRRMam/0ttvs7pMnhb39vUTMYhAwGIbZjMDVdot8L6fcDtjZ7LC5VaLd8/EHK7kpCFg9Zmq9ztnYGXejMl+d4sXiJjVwTP1CDddAPCUPV/TU9UyQIYtotH6cAhqHhuAa5vEmn41Os6wSDjLvur/HNb30b9UINy7+GGHGaOknKhzfbXHlxSHbgAZiraJRnFIHVNHVKJQfDUCdUn3HxvYTIV4GU180IBhk7KxGtzZhcWaM8pY8DAiEEtVqOfN5SmQXbGAeNmiY4c65CfcKh3QrotSPFRfJHpa8bvn8pJb4X37QbRzcFhq22SkJVmtB0gaYfLgftBcZZIuntZuNy1MuB6RzsZtu/boWieWic3IgguL0UsEBN7rarkbct3ry8zKfCy+imTxZKdF2wuFygWreIjZhMqnT79kpI6GdMLljkijphnPDsxgbAOOiRUjLspgzaqcqiTR0+Xt0QTCzsBymTxRIPLS5gjEpUUZJwrdE4tNq1bI3le12yTDLspViOwDQ15hcLBOlRvsigm9LZiRECWmeGzFctXMviTctL7PT6XNzYYGLSIUsEff8wd0jXBNNnLCbmTQxzP3NXrKvMbxJJzt9V4Rvefpave6jFfG3I731hmTQTxKnkudVtrl8ZHHpA7XGY6nMWmr5f8JMS6tM2gaeyNQJF4E4iSacZ02nG6IbALWpMzFvkCvuBzcGMzUG4eZ3lCy7hMGPQTYmCbJ9PNfpgc3Sth2GE76eHFnbHDhY4fI0FeP2UtRcD7JzimRmmII5UYJe+wkrEjbxA3RBUJg3KuRyudXgcZTLj0s4O8Ws1mwOGDq6tsjYnZVukhF/7k5BMqgzNK02knJ3RWZjU+Y8fDri29dqdx1RF45setbBMwf1nDX7m9/zbzr7cDPWS4H/73jwPnjMOZbNXtlP+2a95BCdz+m8bx3D0/8wik/Dc9Ze/ILllwBMHklhkDAcRlao7zqg4BZ1HHp3j/W95C7Zpcal5mYsrV9nc6BF6kiSU5EbljDBIWFvrEkcpuvYcE7k6w8gnTVXnVGVaZ2a2hKaJQxkbUJPtXoZGExplu8Tzuy+yO9wlzQ7XdvdWOSpDJKhUHaani0gpaewqXkuSZmxu9ul1gzGZt7OTEIcSTWgIIai6Ve6avJMgCUilOh6vZHPtWhvbNpislyjZBS7bG2xu9kiSlGvX2uRcE5lJihM65+6q8v43vY16vko+ajI9eB6BxJOC3+0YfPapzqGSkmYIKtOKMDo7V6JUcg7dPPV6jl4vIBldn1xFo7OlWsyTUNLbTYlDSW3eQDfANHUmp/LjjrlD1xQ1MeTzFsWSQ7Yk6fdDdncHpEl2wJhuFMQkGWF4fEnLLWvU5gw0U+04S9WqfY9Ym0kJSLIUdq8lYykAeUzm7FbQDHEo4ClN6CDVv6WSc2RFvYckydhY797WZ0ShahU3HQ37nEEv8InjjCwFy9F49E3TvPmeBUxdZ63d5tn1DWQm8fopwTAjCgIW73YxLUGWpTy3uUnRcSi5LlGaqpLEXmeNcfR4D/5loVoZBzvDMOTixgZdzz+6jQC/n9JYj5i7w+HuuWnCJOW5q9sYpsC0tfG57axGSAmDTkLPC5ivjq6t0Jgplym7quEgiBM+c/kK6Wg5OVsps1Ctcnl3l9ao+2dviBiGYP5Oh6Lp8tiDZ3jz+QHnprt8+Mll+r4FSF7a2uHzT24dIQ4XqgaTC/aRsqeha8xNltCs/bHSaybsrEbjyT9NJIN2ShqHLN/njr9/Q9eo5HI0B8Mj2WJNCNyCjlvYzyalKePvYhhFSCnpeN64k+7I9dZUa36pbiBHTRug+HuWo1YMXi9ld+21k3Ao1dVk2m2oWc8taJiWxmSxOKYJ7GGj02Gjc3vj/XZQzgv+l+/JsTip85O/6vGlyyfPvEkCv/rHoRrLrzCWWJrS+Re/7vH4c/FrWn6So3jNNOB9j1hkGfzkr3rHZk1ME6oFjd3O8eMAoDYKdh46Zxy6eTebGT/xCx7Xt0/TMV8WSPCClz8wTgx4hp2M1nqKaQuKZY9yxUE3NBbO53jgzmXefMcFHNMBYCo/xVV3DSEEQkjam2oCzpU1tdo3JK2WT7UWsJ5sEMWJ4tXUddUNogkau8MjE6GEcVkpkxnP7744DkJ63YAs3XvYaMzOFkHC5lafcslRHCIpWV/r0e8kWK7AMHSV/WmnDNujcpKU9IYecRpjG6qLyzZG3IrR4Rwc8POlOc7VzqAJnU7nRTwvIolTenGKrmucW5jhrXc9SC1XJh/tstB9EiML8aXgt/o2n10Z0N05zIPaI8iqEoEiMKu/CxzHwLJ06vUc21t9db4alKd0/O5+ScrvZvTtlMqMTpKkBEFypDQF4Hsx6+tdkjhF01T2rlbP4dgVms0hvp+wudmnXs/hOAa+rzIZpjviaoyO23QE9QVjn6gtFGFzbqE4zgh6XsTuzpBeOyLys1c1Adg5cag8ZucFEzk1EejG8XwFCezuDPD920srr1z0iUOJrqfUZmK+dH2NVKQsnMlx4c4p7p6fQhulESeKBXRNZW7cguL+xKHk2rMeui6wHI2Fuxy2ul1KrsswVOl+y9bGpZabQckuqPc0BwO+tLpKeAL7M1fSWSy6GIbGdq/PdmPI2ksB8+cdTFuN353r0Zh4LiX0/GB0hfavqWtZpFlGGPvjUpGmCc5NTlJyXSzD4PHLV2huh7S3Y4qjgOWOhTr3zs6yNBlyZqrHb3/uHO2BDUiu7DZ45tI2vebR78DJH8/x8qOYc5OTKvAYnXdl0iRLOaKLE44yP9YoGM6kJE5Tjptt00QSBhmWrWGYYpwR2kN7OOTptTVaQ2/cun/jZFeqG0wv7wdpe2VJIdT1i5IEt6CPZQBeLUp1g7k71HNJShX4Wa66bvYNveBeFPLS1o5aKL7C8tkYAmZrGj/853I8epe6z77tbTZfupLcOpB5+Q2dh/CxJ1+jtMgN6A4lA19ScAUIOD+nY+hwXMX+6x+x+Mvf4PL/+88DLq4czTKdm9P54Q+63H/mcLCzsp3x9//LkGvbr11m6hSvDU4MeNJEra7SBHRdQxMa5xfmedc9s0wWJ8Yri0xm9MIehqGhaao9WwjVvdRvpAghKM/oVO8wcS2HilNhJVhXq0Nr1E662hkHNoapk6aZCn6kpNf1yectRUAcBTtJktFqe+iGplZ0VZdKxUVKieOa2LZOlkm2tvpsXffpbKVMnTUYipAshUErQwiw8hrVGRMnp+PF/jjg2e7vkGQJSZKxsz2g3w+RmSSOUwahWuGWnRKOY+D5MUiJaercd8cybzn3IDnToeqvMNN/Fl3GpFLwicDhs6tDglC1wycHuDNpIok8iW5kXL/eGd8/QsDiUpVCwaJUcmjsDknT/RWlaYtDaffQk6N2R8naapdczsS0VJeU46gM1HAYEUcpWSbZvhqynobUZnxml/JMzxTVCj9I6HR80iRjOFQlkIklg8iXeG1VCihO6ke60mzHpF7PjbNtKvOiMei11Mm8wsegbgoKtcNBzZ7goJ3TiG4iYOkPI7rd4JbCc3vYK9vtld/umJqkXshj3qvjmIeDx4McD7eg0d5W/89SxZWRo+iuVsgf2s6wBeIm2ahuM1Et52WVQarm81iGzmSxyFqrffjNAqZLJdpDb6xJI6Wk1R+ydS1QXWz9FLeg02sl9NvqPZYjqEyZSLHfbLCHMIl5YuU6XhiNO5+yTJKMlsA528I2DOxcrO4bV+fO6SnOTk4wUYp48EyDjz21iBeqR8tOr8+lnR284fET/6CdUJk0xiWycWJxFLRMl0pcb+5zUY7jkmWpKtXVnNHzKJPHZsJAZblWLvqYlqA8aarPtrTx/ZZlkvV2B4BiVWf+TofObkwwyEhGwX6ueLTrEGCmXObC/Bxd3+eL11fJl/XXJOBxC5ribqTyyIJwcECyQErJtUaTII7JMjnmVb1c6Drcs2hw96LOdz5mM1nWkKgV9bPXbiPY+QpGGEtWtlNmaqrc+EdPxUQ3WQt1+pJSTnDvsnEo4BEC3n6fyX//bS7TNzyT/FDyL3/De03LcF/p2FswvBG4RScGPMWahkx1vG6mSiSFCe6bune/0ypL2RnscrWxSqPXxnEVcTJL5LgbQWaMV4q2bVBza8wUp1ltbozF+mA/i2NZBvMLJVavd2ltx2SpRIgAN2dRPaCv0mn7yEyyuFjBdc3xBLuXEYnjlLW1Lq3tkM5WSpZImqsJuYqmuCoCZs7bzMznKJUdLFvjcvMy52pn8WKfjf7maH8w9CKSUT08TTM2OztIkTEIB0xNK0VfXcLZ6SXunr0TQzPIRU2m+xfHwc7nY4tP78QMBkohubZgYLczOtvpuL29vZmQJjqmo0iUuqGyPt2OT6GgxMV0XRsHPHB09ZnGqnykG5AkKb1jyI4ApqUTR6pMFQ4yNi+HNNYiClWDmWWHuYUSxaJNkmT0egGdTkDgxzh5cPI6MtOPbQMKg5h+P6JU2lfTtSx9lC17ZU9KTRdU53TckkaaqDJr5EvCYYbfz6gvGId4X3uIopTNzT5JnNFYvb2JZ+4OW5V9MknesZirVLBuWEX7ccROr8dGuzMu+QTe0bvdsFW2zjYOcyySSE1cNwY9aSrZXQ1JE1i612FDdLFNkzunp6jkcqy12ggB89UqedtG1zRq+RzPbWzRHKiSrZTQWI/G3Ui7a9FIgybFMAXVaZPatIllGcxVykda+JM0YxAE45bmvZdXmk3ytoUfxcRpSq3qYE7onJ+eYqpYQtdgsuTzx8/O40fqevV8n4sbG6RpRn3WwrQ1dldDpee0dy0HGdee8bFclXGJwgwnpzNzxqbR77NQqyny7V6m9SYP1cZaND5WKVVpyXbFoWAGGKkRQxRIdlcjWlsxuaJGbcaiWDE4PzVFPwjY7vbIgFLNoFg1SBJJ6KUEgwx/oO4boamuQSevFnqGrmPqBvV8gaLjsCNemcrwjdhdi2huxuO2e1Als4OBKEg2ux1WR0TlXjOh13xlwdY7Lpj8ze/JYxmAUKTZX/p4wBevJGw2X8dZ7ZWvl8bIMvh3v+vjhZJ2X/L7n7t5UPjEpZif/ZDPky/tX8eJisYH3mbxwbfb5JzD906cwM9/NOCpP2Mt43cv6NiW4IuXvvLP+8SAR2jKjqFQNajX8oCg5bWp52oEScCLuy/x0to6Ozt9JY9/roZp6aTJUeZ0HKjsiB8fWHkdGMBCCHI5k6npAkmSKd7IMBtpFshxKadScUiSjHbbo1bLc+/8HSRpwkZ/E8+LaDZU6a3Z8GhsBrQ30jExOA4k3a0Ut6yxdI/L/GJ5TOQF6IV9vrT59DhAA5XZcl1zPKFqmoaUGc1hEyGUNsZUvcK99XNUchMgBFY6ZKH3JIaMCKTghcTkM6FNs90cq0QbpqA4oVrHu9tK40QIGLQz4kBi2oLago7lCDwvJk2VgnW54rB7QKuntqAzaAoG7QyZKi2WOJDoBUEUSDqbauLLVzXylf3VSBKP9GscQdBX30McSNqbMUmS4eQMZmaKGIZGrZajXHZot33CIMHzoptmVLJMsrHeRRNlCkUV9EShUqx9pbV4icrwSKnECsPh4TbV6Jhabhgq3lgQxAw72W3r/eiGYPFuh85OwtmZOpahI5Fj/Zz2cMhTq2tsrA/Jlw3MUceVPOZyZIkcBfL7x6f0g1Tpy3YPPzCVpYMKfhvrEbPnNK7uNmgNh+OV/ESxyIW5OTRNYxiGfO7qNbwoQqDuk53rEZ2d/SWrHHUsWY5g8W6XyVpurNlyrdGgMegzUSiO3++aJnnbPpIh2ep2aQ2GSCRF1+GRpSV0TWBoOrqekaYalzYrpJk4tI0fxaSpInuX6wZuQWPzaqgCstFliSM5tpjRdHUt00TS9X3OaBqOaRKMluG1WRU8dhvJoZJNEks2rxyYvEbcovqc4trsZZCUppc2bu9OY0m/pXhA+ZJBvVDg3OQkF/WNcWZJCDBNgVk2KJT3OvQku2sR2yshxarB3B0O290ec5UKpq7EIm/HcuN2sJcxPIg4lIeylpudLs+ub6ggKJE0N155Z9BGM+PjX4p4670m2+2Mf/iLQ1Z3Xt9A550XTMp5we9+5tWXuq7vZPyD/8+75fMoiuGX/2h/TD14zuCH/5zLmemji70glHzuxYRf+5PwK8J6508TL66nHEMV/YrEiQFPEsHUTJ67lxaZr81wrXWNzc4206UJesGA6+sNWi2PXiPFdgVRmKqSlnG09h356qGWZgmaEJimgWnoRJHqfJqbK1Es2SoVu9EG9gi4AoQkCjI21np0uwFCKJb2zGSF5coSV9sreF7EytUOcZzR64UMOymt9fSIuJ5uCSaXLBaWysdqtshjlhAHF8FpmrGy0sYwNCzbYGaqwJ3TZ6jkJwGwUo+l7hew0iGe1PhI4HA1NRkMQ6JQPaFMU2dhsYznxTSMAW5RG2dlEKrTSdOVKvEep2dvJV6tunQ7/jjgMO1R9qOs0d1OR91zoy/XVIrGoadIt3uCfbBH7Fbt9Ue/98Op8yTJWL3eYdiPyRctCgWbdse/KfE4TTM2NnrMzBbRdY2trYHiS73C579uqDJMEt3EjkKqz9wLJoeDiLURR2lPafp2P7u1FXPh4SpvvrPGfK1Czw+4vLPLUr1Gz/e5stsgiGLa2zFJJJmYV2Uu0zl6HeNQ4g9TBmFI0XGxDYPypInlaliOQBN7pG4VKLa3Y6pTJuUJY8S5CRVvRXrj5+tsuYymacRpwsX1DdZWBkS+pDJl0NlNaG8fneiEBtPLNuWSzUOLixQch0a/z1q7TRDHIw0X9QmapsjLR0pCknHZTACmoWPqkkfObdMe2ONgR0rJIAzxo4jtXk+VQnopxaq61yxbY/Euh0EnPZZjkisqoVFNFySpstVYrtd5YWsLpNp++oxNacJQmaxOigQsW4x4M+lYEXzPTqO97TN33iFXUJlG3RRww+klsUQXAsdUYnFhkpCmEq+X4uT1cWAL++KN02csKlOGmuCEuj5PrKxgaBq+n9B7DcpZN4M24hf1g4Ddfp/nNjeJYiWn0Nw83gPtRAioFAQTJY1LGyn/5Fc8ZmoafU9xXl5PlFzBf/et7mvK63m5i69STvDXvz3H0vTRsvp2O+Nf/5bPF16K/0x2UqXpUSHFr1ScGPB43YzZ+2s8svgAw9ij53lcvdpkM98jDBOiKMUwNLI0wetLglELt2aoB1Z6aELc/3/BKlB08uTyHeI4ZWq6QKmsyM+t5hBvEBMFkokZh4mJPO22x8aKp2wdFlU5ynFNCk6Ofjhgs7vFxkaP5kaM383QLUHkHU+QdQpKj+blCNSZ5mFzxjhOiWOlkXPegmm3RArkoyZz/S8h4gFPJjZP+TpX2jFRHNDrBaSpJEskmqYCw3o9h64Llb0SKoeQL1hkmeIDuY6J4xpjbtTesczNl0nTbBwERWFC6MdMTKrMRyWvEwmNXj9i8owKNnVTpfPdnEW5pK711lYP0xHK6uHAV2U5Gpa1f85JkjHoxWxeitD0iEJNJ1/RbqoqDUqocHW1i0CNI793mw9gse+3FfTV+chMnUO/eTSABZWZCsOUNFVjcPV6h14jwe9lhJ481Pp/K8RhxnSpxPJEHZCsNJtsdrtsdbtjvosY8dSG3ZT6HOPMwY2Qo2PfK9dW8zlMU2BUDHRN4/6FeV7c2saPIrqNhGEn5eyDOUxTAySd3ZjVFwLO3u9iOSpYdUwVza622qzv9thdi8hS6OzevJvFdhVJerJYoOCo796LopsSS/c6tQ5qUKlupBQ3Z3J2chKB4Ox0l3I+5MkrKtgPk5iruw2uN1uqg1JCv53Q2IgO+YVpmqBUu737b6fX58HFeVZbLbwowtR1dKHhVk0qZXvc9VUqqa63dt9jdy2i30ooTRjUZy00IagUXdIsYxCEh0j2mqZKpparYeg6+ui8vUiVAtdeCjBMlZ0qTRjYOW0sfqoJgZs/fBPESUqYJmyvhK9Imfx2kWUj7ZvhkPbQwx+mbK+EeL1Xph2UdwQ/8UMFttoZ/9fPDckyXl35SsC7HzT59MWbc2Rue1eaavH+0Oe/PETmW36+gPe9yWJx6nCw0xtK/svHAv7oqYhW/1WytG+BvQB3fEwomQAvlDcNNkxDJQbeKMHInwZOfOpEfsbmbpu1mXX60YD+ICCOU7odHyFU+7Tvx3SdWJVEYqWWqungFLVDq/o9voJkVL4yXaanCpiGPubmBEFMs+XR3VXCaqWSw1Stylx9CpmtsH5t3wzPtg16YY+ntp6mPwyIwpR8RVNt2ieoo2o6ZKOH8a0cCHJmDk0IwlJCs+mNO8LUfjQemC9wYeYcGRnT/acpBRvEacjvei7PNGMajQHeIBmbdYaeOq6pc4Jmw2N2rkil4pLPW+OARtNOUCYeoVSwmdESFvSEnMhwhKAk1FcpgLyQNDKNz3hFPr0ywNMjNE1jcaHEhekJJqrn2RrsEgTP0co8Zu4yyecs6pUSlmFg2TqFokWURaRZimXplKs2wbTygUoCRfou1o/6jR2CVPmy+DZNRzVDUJ7WcQqCJGJchkpjyc7V+KapYs1UQdnaagffS9i+GuH3X5k6axJJrm60mK9V0DWN3X6f7m5M6Cseyp4tg2ntCR6pf3JFHSevHbUNOPBdOobimsnRdfGiiDTLSGJJc0M9zHOWxSNnF0gziZass5L0ler3aGdJltHxhlxrNDEsoVSb+yeXC1W3kaA5GNLo95koFpXHk2kyWy4fPkigls8zVSqx1emSZSpL0tlR9/h7H5tnsljENtXE+olnFghjuLS9yUanS68f0tyMCYbqHvb6qlw7aCeUJ042ca0V8hRsm34QEsQxQRzT9X3STPLQ4iJhklByHAxdv7GioLz7pOIavWhsM7mYoWmCiWKBu2emKboOwzDis1euUp+10PWYmXmXejlPueCQsy0KjoWpG+PvIVfUqU6ZBMOUQSfF66eYtkZl0sAdEZePk0JIYnmsovPNYDmKBzTsHp/1Og5ZJlVWyhR4g4SNS8Gxpd3bRRBJfuEPAzZb2WtCPrUN+MDbbF5aT9lo3HqHlaIgb4tjP787lPz4zw9fdeB0HHRdBTNXNlMurR8fLN69qPMXvv6wTMj6bsY/+MUhL669sgDzdlApCN5xweTcrPLXyh/IIgugXBBc20r5d7/nH2p/Nwz4+octvvlrbJ66GvOzvx+Mj1HToF7SyI0olnECW+3X5jt/I+AWSssau7sDPvfSM5TKDoP+fj2zUnGpVBzyeYs0yej3Q2xbp1R2yBdsJiZSVl4c0N5UAmGlCW28YpRS4ic+UZwyHEbkBqZySt4ZkiYZuqlcvV3H4v7pC7imQ850eZyL42NQ5qRKL2YwUNoZmi7UhHLCTBcHknbLxzJ1avX8scGFoRlMF6bGVhgXjefodH0au8PxZ5+ZcvnAREbdv4oMruEkPSIp+CPP5lNXB+xuBPSbqqRyKMMgIOhLOppPLm8q9WpTJ45TwjDBda3xSngPjpCEUowaiAX3TNzBO6IXyKU3J0UWtIx8XrI2nefFqzH1usvXTwgmJ87gWRUcM8fV6jqtto/j6Lzz4QucnziHfiBts9Zd51LzMpomePies7gX8mRZRiYlrX6XYejT6PTw/YggTG6aJy7WNUzbpN9ICYdHO03Gx1zTKE4os8j0Rj2mPXG4vU1Hk42VEySh4i61hiG9RvqKgx1QK+drl/vkCtdxbXPcEl2oGGM3cSTMnLFVCW20ne3onL+/wOolj+6ILGrayt9rLxOXZPuBSZZlvLS1TSYljfWIOJRUp03qxRy1vLIJePSuRTRrZdRire6bL62uqnLN6Al1O91nkZ8ReilCRHxxdZW7Z2YQCL7m3Fls8+gjQAjBXdNTNPsDrl/16LcSChWDhx6c5OyU8m2PEp0rW2VSCZd3trm01WDzasCgc7y4XreRjP2qjoNSlS4yVylj6gZ+pBzRn15bo9HvszwxgaFnTFc8ZmtDZioelqFOPpOCjVaep65OcmaiTnMwoNEf4JgmDyzO45oWpp5h6haTxSJhnJAv6nzNHWdUB54hSVKBlPvHdtfMNAvVKtpdYkzg7gchXhDR7ns0Wj6DvpqByxMmTm4/8rccjbnzDrurIf7w5LFo2oKle1XTxPqlYKyzcyvITJGZTWtkL/IqSylpCp946rWLKAxD4FiC8CThxhEsE/7O9+c5O6PzM78f8NuPh4evmeS1DXYEuBacmdF54KzBX3qfS5RI/vEveXz64uEPyjmC//ZbXIoH5DCaXck/+uUhL6x+eVMnf/HrHT7w9qMaVQcxXdVIM/jxnx+Spiqg+b73Onzvex0MHeYmND78+Yi1XTWGv/vdDt/1tTbuKCMdp5J/89s+H/pcBAIePKu680B1nF3fyWh0s6+aoOjEgCdX0Ri2M9bXejQaQ+Jk35CzWnURQmBZOvMLZQZ9pWps2waFgkXBylMtDXj++W2ErngYuqGyF37sMwg9tjb7+H7MtWsqLR+HyoagNKFhmjqOY6iMkdCYL8/hOpdGAY8iOEsp6fVCWk3laBz5tzaZCz1JMMzY3h6gj9rZAVzTpeZW0TWd2eIsOdMdT1Rna2fZ6jRotXwEcHa+yPdOZczpCTLt40mN9czgM5HN1Ug9INNEjq0gDkFCdzvBzptsrPeIwpRK1WV3Z0C3Gyh/MVvZJBQKNoaAC0bExcTCl6NgTpgkRhHSwYnnWtEyyiNeUMkxuM+IyPzrIHRMzWE+73J5dI5Fqzh2oN9D3swBYOkm907dM27Z30OapXSDHs9uXWR9u610lEYO64Z5QNgtyXCL4BRUW3tnKyU60NU00ibEdATViksub3Jl0FEvjspFblHDygn8nrLtKE2pbjYkbF2K2b4cj9p2bzEAbgG3oFba1672lBKygGCYUawaFBybe+fmuNZosNvrH+pwumNqkqV6jRcq2zzz0g5JLMmXdUxLo2Cr67bb7yOlWpkHnspEdpsJSSiZO+9QrB4mQ5ZdB8swxgEPMO7Qk0B7Ox6L3p2ENEFp8tzpQB5WWy0eXFggb9s33SZv28xVK/QmI6pTJnNTRR4+szDu0FQCboLdXo9rjSYIteC42cQ76KbsXI+YXDwa0O/t78Wtba7uNpTrfLXKaqulpCV6PZbqdUq5iO94+2Xy9g2zn4A75zq0+g6XNivjrjjHMnFG/6+XlOZQJeey3m6rYNnQMQ3JPQstnl+tEaf7x1WwHQq2c+hjZkb/ZjJjt9/nS9fXiA5Z2wgEglRmFMo6uaJLv53S3IhuahhaqBhYI2FI+0DQNJYAO/BA0zSVBd3LYL8WLe+vFpqmyiY3PnizDH7jUyGd/q0DHk0os8ycoxzCP/S58BUZjt4KQsCFMwYP32Hw2AMmi5M6+qhUZJmC73+fwxcvJ/gHfNj+3Dts7ltW02QQweWNhP/w4YDnrn/560RRfOsqBKjAzTYFXioxDXj3gxbGaN1azgnuXjRY21UBzR2zyol9D5YpePu9Jh/6fETRFfzod+WYmxiNQ6m+Wy+UfOb5mH/1mz597/Xlc71anNylJSAYqG6p6vx+v32haJPP2WTsiZhJbGdfVtsxHB6afYhetUd3MGR3dwBCUChYOIbLZn+LwTDA9xJ6DWUxkESKZzJ9h4lhaExM5knSlOudNc7Vz7De2aTXU0xD01SdU91uwOZGjzSRDDsZdl5QrGv0dm9OUpWppHk9obZo0GgOKZZsik6Bh2YfwNRNBOJQlgOgYOWZKtdp1YcYhsZcxaKieWymOs8nFlcTA09qpIBhwpkzVUyjRxoPGbQyZZB6IOsQBZLWekJ90WC3MaTZ8pTmSSYZDmJ67YhuO6RUsXEdg8erLkJIsizFMHS2h7t4hTKlcPPEL3c709kaqI65dj+iO22wEKxSDtaJNYtLaOi6Urd+afMKM46JtCrqOgGdoAtAnCa81LjEVGES13RxjP2JQNc0NF2jXs/R74XEScrCQpn5+hQFq8AgHNIcdOj1PQbDiKERYTqCdK/sKCAYSPxeRr5sMDGZByROXqc0mWGYAresoRvg9yVJBKVJfWw0m41Uck8qY74c1Ocs1l4M2LmueDVINb5nlhzOTU4yUcjjhSG7vf6h7RzTxDZM7pmfoeUP8EdLUkPXMHWdLMvY6fXptRK2roWHNJgW7nQojawQmoMB7eGQaj5P1w/w46O8BYkqETXWb5/TEAWSjcshy/eqQP6kYEdBsFyvs9HpYBsGDy0tjlWfQWkQrbXbXN1tMFsp48cxYnmgfMiOMzeUihBuuxrVaXN8HsNOMi7FWK4gX5I8t7nJtUYDP1bXsON59AIfTXP5jcfPUXAPBzzVQkjfM7m+W2QQBDQG6rsZhqo05loW2+3c6N0qK5plks1Ol7w9zdPX6of21xgM6Hgek4UCedvGuKEFRROCkuNi6No407ZQq3JmYgJNCPpBQGs4pDUYYpkRhbJOezumtR2PxA4hDJQwYKGyf02LVYPWlnrP1JJNZyc+1FpenjSpTptce9a7bV2pVwUBeVvgR/LY1X2lIPifvjPHS+spv/Cx4FCC148kH3kiuq1yTxCr4Ogvvc/h41+MiL9M57Y4qfF/fH8e1xLoOuOgYA9npnXuW9b5wov719yxoO9LVndS/t/f9bm8kX5ZgrHj8JkXYr79MfvIcR5EnMBvfTrEGwVpUQwXryfMT1hoGqQHvbck/PbjIXcv6uRGcjBpBn9yUZWrB77kZ37f55setagUNKZGTgkSFZAegVAt6fcsGWw0Ul5cT+l5r37R+eXELZmDuYpG83pCriJxi2rlfn5plocXL/D8zot0/C7r6z2GgxDHMTlzVmVJTN2g7JaYqJVotTxc1xyZO0pafoteL8Tvp3S29oWscmVd+QAtlCkUbDbWu2xuPsfqzCa7TUWUtm2D6ekiQihl5iyTDNoZhqkyAaVJnaCvfKFuhiSStNYSTFvQ6QTodZ2nt54llSm2YfPwzINjNV1QGa2lyiKdoEuapezGGf8pdJG6RnaMI/Ge51hpMqBQUwKIcajsNgCQapJPEzBMpVmURCrzEQzU77op6E+k5MsajcaohVJKKlUXUzd4zpxgkFhjYRIxIj1XtAwNyVqi89GWYH2nD1Iy8CJ+e5DngmswoaVcDuGLzYhkZCXxwrVNmp0OWWZiWhq1ukvGSNG6F3DlyguE3vPoQifn2AgUL0uYGWmW4PsJnh/j5gxyrsV8eZaZ4gxSSqI0ohN0ealxme5gwPWVDom2/1QzbRWoTkzmsCwdKSFfMJEz+2Wb7k5Kb0eJUfoDQa6y991wMo/oZSJf3ufi7GVPJuYtHlyeZ75aYRhGvLS9c9PtLUO1Nu+JBNbzBRzLZBiGDIKQ5kZ0KDizHHFIdTlKUp5Yuc5MuURjMDjWvNbvp2xcVhOMW1AWHsPerd3sQy+juRHhOAaNwYD6SBDxRmuC8bWwLZbrda7uNvji9esjMrN6b2swpOv7zFaU2F4YJ/yJd4l8xcAf3DwQa23HJLGkWNXpNlRX2d4DWWhq0i9WdXpGjNCUH5ub19np9Sm7OS5vuaSZTSYz4jQbKQ2rEqAfBzy/uTlqYRfEacrFjQ0WazVcy6I1GHCt0SRNJLohuNposNMdkITKrPT8wgT1Qp4XNrfo+T7PR9vEQ4GJgZPfv0aGKQiSmN4gRNMFbl6jls9THBHC87bNTLlMmmX4ccQXr6+iGUoDaY9PFUcZw05KvqS4QEKo8ufMGZs4zBh0Egad/ZlVCMgVNUxbSVpEr9B1/eVgeUrjb//FPP/0v/pcvHZ0li8XNB69y2R5WufXPhmOMyPAy1NalvA7nwn5zPMxzd5r64x+EOuNjP/nlz38SLI8pfM//Dn3UDu1YcAPvN/l2vaAZlfxDv/zRwJ+/U9UQBH+KXOmX1hN+N3PhMQpdG5YRCjdJ1jbSfnjZ+J9nSoJ//q3fJ68lDBRUhyfpw/oAj11NeGv/1R/fN5SQs+T4/9/8umYTz0bo2uQd/e97QaBJL4hsaoL+O53OTz2gEmWQWcg+fyLMf/6t/1XZPvwp4FbBjxuQcPKafQbKaZtYDsaC9VZClYBx7Bpt336/RCkHLfYBkmAF3kU7AKz1QmC5QDT1NE0QdNrkaQp3jDC6x24KwQ4RUG54lAs2iP9HcUN6g8CJfQlBLV6jkxKVq61iKIUr6esFYo1A8c1SNKMyWVBOMwIPNUddMgAcMT9yFJFit0ZadqklQxdF4RJiJf4FKzD6ri1XJXZ4jSXd66zutohiTNsW2diMk+x6BxJPQ6Hipdh2ALTFEyfM2muJUSe0mYRQrmFGyNtHK+rshx7k1YaSTqbCb0d1eYvM9Vh5rgxcZrwVGebz4Um62tdlWGzDdVyK1WEPfBCel3VOu0WNSJSnrnS5rJjkmWSTiOi10wwRsFGHKdcX+uzezXBLWk89LYJiiWbOE7Z3FTWHLs3EocFh8o6mg6Wm5CGLULvGZYndynnqhRtFyv1kWRYlurW2Wvf1DRBsai+82JpTz5flcEiX9JrpESeCgj3xopb3P/MNOVV8xcOQteVCvHWAZVax9Wp5pUOVZymh0pMexiE+++fLZdZb3cwdY1zkxMIBLu9Pr6fHClBuQX9AClZod0KCaLmsXyXOFIKulnKuAwmNDEub4Vein9cKXWEzm5CvhLxRa7jmCa6pnHP7MyYN3QYgjMTddbabdpDj/bQO/RqyXW4f34OTWjs9HrE6X6pUtPVJJ2lh6ldoZcx1FN0UxAMD/MCZHaDYJ5QfJgz97lsdXucmajzpdVV2p43SrerMZFEapEQR5J+N2bQUXY4c+ccdnp9dvp90giaWxGDTkKWSubucDAswZWnm/iDjGLNACsjZ83jRyozsXbZP5Z8fFDgUAgwHQ2vc517znrMTZTJ2xaWYaBryh7EHJGsD3qn5XIms/USE8UCUZKw1m6TZimDdkJn9+iA1k1BoWKohdNt8GJeCzxyp8nSlE69eHQcAuy0M9YaKUtTOg/dYfD4xVdOtMkytb8vJ9KMsXP5S2sJ73+zxT1Lh9Mn9yzqfPs7HH7m91Q1IUmgfRtluS8Hwgj+5W8crxh+ErxA8oc3a+GXqrvsJOw5st+qHJlm8M9/3eMzL5jcNa8zVdHwQnliGU7TlKmsH72ciPi1wy0DHqFBcUKjsZLQXE2w79Lxo32ybDayfwDVihxFKcIWDKIhBbvAYnmBhtckzfYIhsrSAcFYSVhK1dXlFjQM44AvTc5ShOQ9sjOCra3+uMzg9TJaaynTdxgUShaLi5WRHL56/2AQsXqtS2ekTyNGys6F2qjDwoAszdja7OMNI+bmS6BDc9jENZyxmegeSk4JXRejlt0M389YX+syNZ1Rr+fG79sTS9QN9V7XNZAuGGeVa3K/obRCNF1g2wa6oSFlBOh0tg6U4+RIvG70/PP6GcNBQhyn47b6MFSeZEGQMOxk9BspqXK6UGJlEsrTOuVppawcRyleN6O5mozVYk3bxC0qdWdNVw9mc9SW3m4rzZ9h+3g+0kFzxjQDP5ZcfWbI6gseXyjuUKgYlKuW8hvSBL4fEx5QRc7nLRYWypypLVN2ylxrr9ActFVrcCfD6xxd8R2cQL12ekSU7UZohsAt3X4aqFQ3aG/FYy2TJM6IkoScZeFaJqauEd3gRL3T7XF+ahJTN6jm80yVisyWy5RzudG1UR2MBzk6mgbVGfNIx1GudLQLSR2HZONSQOhl5Ms6pZqOrmtYhkHtXI6cZdMcDNhc89hZjY5cl71K7calAONeQZJT57fT698k4AFD08lb9lj47yD8OCaIE/K2TsvzyEbdZ9PLlmo7lwLfSw8FMYYlmLvDxnJUt9PW1fDYCR5QZFU/w+unWHbIMAxxTJM0zQj9jMZ6hD9ISeKRIe2B040DpcNjmIIoyFh9ITgUbG6vhCze7aLpqrtLSqUyvdVVgVu3GeP1j6+tHPwcOTrG6y95bFxbxcltkC8Y1OsOpbJFmCQMwr0ymiLz6qbg7plpFms1hBCkWcYwDNls944vB6Lu5WEvHQVsx1+uG/FqM5/t/slEVT+SXN5IOTer873vdfjSAf7LVzqCSJXRKgWHYk6Qs8V4XpqsiNdE1fnPAnpDyR98PuIPPq+eZ1Ievj8OQcD3f73D1z5g8c9+zeOZ10GR+rbEMNyChlPQiANJkmSsd7Y4O7FEzsqRy+232qZJxtpql/pEjp3cLtOFKYp2kbniLKvdtfH+hFATfXlKxykoq4dcWSA0CPyYdltZKZTLDs3mcL9VU+63N8tMeXXJTD3s8jlrZAS4P1VUKg7tso9u7kW7Bwfy4TaAXi9ASsncfJmr7Wts9jdxTJeJXJ3Z4ozi9Uilg7O8XKXV8ui0faUIHRz+4oSAubkSlqWTc01KJZtJLaXlpVxc6aHP7h+OlMpNXggo1HQGzeymfJQslvR2E1qTHjOzRUxTxzT1cQAhNEhjjpB3b9xb5O+/LjMYNFOcgjIBnVg2VKlKqAxbtxPQb+wbrd4WRqvufjOh30xoOCHVOQOnIIhDSb+RjeT/BcgYz4+VAafhUHZKdIMuy8tVigWfxnbA9vWA8MBEMGhlOAUle9DdOTkFLjSoze9zfm4HhiEoTxrsXFfjJgozNjsdKrkcpqbjmOaRgMePI1pDj+lSCV3TeGRp6VCw7FiWaj/O6Xj9VHmTLVhHdFzgWMcOJNDaisaTcKGiRPRKrst9c7MUHYdMSi6ub+JPx+Qr+pGJUdfVeLv+guqmcnJKNLExGOBFEbqmCPeuZY7LXEIIZitlOr53yNIElObMpZ0dHliYZ6lWYxiG2PcazFbK1PJ58rbNtUaD1UqbQkUniVVp1xp5Xmma8rPqNE72Z+ruxhRrBtdbbSYLBdbbbSxHY2Le4vrz/rEBgOVqY9sa4HCWF2Vp4fVTJhYsgmGA7ahn2E6/Txwr24mXy0VIYsmgmzDoJmxvBFgjz7Q43LvZwLQ1ppYsetWATCqxQ13TuG9uDsc0Kb7JY21tQHMzVKrbI2SpIp7f7iRsOcrB/tXg8ediXlhNqN1ssSDho09EvOchi7vmdd71gPm6aeW8EvzhFyMefy6mWhC860GLD77DplYULE3pmDovi6uzl7lYmNRYb2RfsSWdLydup4sriCWWCe+4z+SZ18GX7cSAZ19oTRFFG9cT4jCj2enT8tpMFaZYya1imNpYGj4IYjY3epj6JlOFSWaK0yyUF9jqbxFn+yNI01SAkytplGqqm0XTlEnd1lafUtEmGwVRN6JYdJiZrGDQZv3KEMMS+IGyRND1fR0bIQQzM0XiOEXXxHgmkRJaTY/B4LCPSr8f0usG1Oo5vNinPeizsr3J2Zk2i+UFml5TXTRDY2qqQLXqEkcptnP0MhqGxsxMkbyV477aMveGl1mxujTDAhsbvXF2pFCwRn5VIWkyWlEJlWUxRsagMmPsUu73MlpNn0LRpli0mZwqsL3VJ5OSfFng5DWSSJLGyqrA62RHLAzc4mFidzBQ1gtuSVPS+6bKHCRxRhik9Bu3DirsvEaurPgkaSrp7aQkocRyBRPLxliYT9PFuMw4BHq7KYNmg8aSz8TUFSxHR9eV19d9dywzmB/yUnWLa88NFdF5lBnsbqd4neymLe7qwCBX0V9WdqfbTCjXDSqTJq0tVRKMI0ljMCDJUgxNZ6pUGjmN70NKuN5sMlEooGsqMxinKVd2dzk/NclEoYCh69TnTHIDnVxRI182Tkz/HoRtGDz6UJ3n3SYrlwfjoKEz9HhyZZWiYxPECb1AdRLudf7AvlhhEMdIlLv33vYAfT/gc1evUsvn2ex2mSgUeGBhfqxJs1CtUsm5XNzYpDXY18JCqG2vN1vMlMu87Y5zpNker0ad2B1TU2z3+lQmlazCjVknf3C4weBguWgPw15K5Gd0hh7np6ZwLQsvjLBdVe4KfMW3SmKJ308JhpkqFY4WP5atUaorQvBBNNYjlu9zmbvDxs5pZDIjiDL8XnpbthC6IdRiMK8ReIqTI6XKpE0uWJQnTJJYHiIZh37G2osBne0N1s8OWJotUS3mKDoOF+bnyOYkraUhjz9/jZUXvXH5avwMuA1oOkwt2ccG0y8HYQR//EzMN3+NxUeeiBgew4t8+mrCr/5xwLe/0+Gb32rzsS9Grx2pV0A5L/BD+WXR4JFSlX+8QGkQferZiG9/p0NnmJG+nGBXwJ9/l83XP2IxV9f55U8E/KcPvzY+al9VkMqq43c/GxGEo5KWgOUpnZ1O9qeSHTwx4GlvpFTnVPnHzqsJ2O9mdDs+L+5cpuDmyMjGyqN7yDLJxmaHL9kX8ad9FiuLWIZNHO3fCbomqNZy1Gq5Mb9HiJGgVpLiDWMVGBzAnnLt4swEj931Fi7MN/mD/GcZ+gG9boDvxxQKNrOzxfHqOpczgf12a00o13fbNrh2tUV8Q0tAu62CCctS2jgb6z1s2yBnugyi4aH37mVYxvsGdCHJpGBvr6Zm4jg1VkXKZv8iuZygUnGpVRySYchuP6Y+kcPzInq7qlOrPK1TqOnoxr5rdxLu81niKGPQDykWbcplh8JInTkZBYdZJgnDhH4vpN87ao63J92/pw8kM+juZNgFbaToqTJlfpwSh9lNH7RCF7gFQaGuU6qalCqKy9RseFiOYPtKQnFCHwc7Kv1/uOMjjSWtjZj2Vhen0KNYN6hMWExM5SiYEa5lMzNbII5TqlUX17EYDEK6vYDObkRvN1WlimMO0c5pVGaOd7a+Gbauhtiuhp3TKNcNmpsxfj+l3QtYbbU4U5/A1I+fSJqDAc9vbnLv3CyaUBPoVrfLQrWKF0VkUrW3z87aLNSqZJlkpdlSZpZJcixBORimDLopb3lwknvmZpivVvgDeQnJ/rj1owg/On5lXc3neHhpCYCn19bY7Q8wbTH2Ntu7NnsiiGmasd3tUXIczk9PA2o8FB2XOyYnaQ+H42DE0g0eXl4caeb4TBVLGMfIb+8lXU1dw3EMhmE0Tn0P2vuaRbUZk1xRbR8FkmE3od9WYnyhn+HlIvqBz0y5zJWd3ZHiuoGbA3vaJE5Twjih14wJvGzveaqO1Tka9AbDjOZ6xOSi0jpJM0mUJgTeydlM0xZUp5RHl+koc9IsU15e3YbSLKrNWqrzpZMcWflKCf1OwjNfbPHCxTb5skFt0uKOhRpnpuqUXJdqxUFckKP2eJueF7Db8GnvRCcS1DVNaUQVb1PJ+lb43c+GfOlyQnCTrHOSwn/8cMATLyXYlnhNO6wWJjT+/l8t8NSVhH/2X70vb3eUhJXtjJ/6DQ/XEidmK6pFQTEnGHhSKSwD5bzG8rROGCuz1T0YOkyUNbbbr9xL8KsJUsLgYGu7BInkxt4f21QUieQ1HE9wi4AnGGSkiY5hqgdjvqL8muxCzMpqg1o9R+DHxPHR0aGcqju4zhqzpVmm8pNci7yxWKBlGxSLNoZxQ8unJrAsgzg6rKkjM2hvpQT9jMVpNYkvVGd56O5zfP7ii4RhQhikIEOy6cKxWh+gOESZVOTZxaUK/X5I4CckSUoQJOMMVbXm0tgdjjQaDGaKM1ScCs9sPzMmZx86buDblwY8eD5kZdvkFy4WCaSgE3T53NoXiLOYKNZotYZYps6jU/CoDf9ps8h2N0IIgVsSaLrB4oJNKacT6yaapZMkKsh0CkrULZc3iJOMLFOaN7quqazIKPgyNQOKgmo1YmOjR6ftk2X7sgKartrnD8SfRH7GoJWNBCIzslQRQQ8SgjVDkK9q2DlVmnIKGvmSwcxsceTmrsQle72AKEjHthKKJyHxuhlBXx5rDyEzid+T+L2IxmrMetFnZapHsaJEKR3HYGFmgvun7yPOEnb6u6zsbrDd6NLY8mltxErrZLRroUF1TgWNLwdpIuk2YqaXbGqzFt1GorgzlwM0scV2t08/OJ5IKKWyfJgul1VGR9MxNJ3tXpe1Vmcc0FRyOaZLJVaaLWr5HOcmJ/nCtRWCLD60L2/UjZXEkp1Zj7tmMyr5HO940yJPXV9jZzVENwS1WevYMhiAqes4psq4LNVqtIZDJuasYw6escgiQHDM7KLrGgfJDXnb4i3nO1xY6rPZyvPp54tkI/G+JE1pex7Pb26Ny39vucPhfQ/Y/NPf1ej7yhOvVDdJ05i77y9RLJp4UUSYpLgFKE8YBF5GHGbkSjpSSra6Pe6amWYYhlRyOWbKJQQCyzCIkoSXtrdZ1zpEaxHdRkx5whwRhg8d+hjNzZh8xSBf0onSZFyO3YMQilju5DWGvRS3oDG1aI8Vt/egaWIcVA27KWsv+KQpBDdksG685nEo6ezEdHZi1i77PDW5Q6VmE6UJhaLBo+eWyds2aZbR9T3Wmh3Wd3tsb3h0GsmRUl1l2qQ8eZQX9koRhHB54+RZJ8vgS5cTHrnT4M13Gjx56WiQ90rghZIkhfc8ZPGZ52L++OkvQ5rnBnzw7TZf/yaLv/fzw2OtNWwL/s8fKHBuVme9mfJj/25Auy/5xY8HPHMtodXLeGl9/3p9w6MW3/d1Dj/60wMa3cP7qxQFBUfQGcrDQcAJEBpMVzTuXNCZrmpc38744uVXb9/xeuKgSjQoMcX/4/vzeKHkU8/GfOpizM4xXM5XghOng5nz5iG/pHxVw+tkNFYSyHx6o+6smyEM1UpEE4Ll6hL9sE/Da5IkGdvbfTptn0rVRdcEuqGRy5n4fkwSZ3R7wZizk6XgdTL8riLOfunzWxQKn+PdF76GBxfuI4oTPv35l+g1E+oL0O+FlCvuLVf2rmviuuZotSnZ3FTBwWAQMhhEgFQCelJgagb5XI1ark5z2AAOX39TSN76YMDSUsy5szHPNy0+vaVq6EES0O+HbG70SNKM+bkSF6YjSp2MkqOTs13mSiYvrg8wKyl/97t0LpyLWNkx+KlP2oRSCT0GQYKmgWWpr+3GLh5TNzlTWWayMEEmM57feQG/mtBq+LQ3U2rzOrZtIKWkNJnRWD1QQ5XgdVKKdY0kkew2BkShInsjVbAzddagXFcrV99Xd1i+YFEadVclSUar6RF4CZ0tRSb2e1JpEN14wU5AlkiG7ZRhJ0XTlfdRbc6kXOrSLnWZLU1TdSucrS3TWGyy1t5gZXObtasDZZzoZWiGONbf6nawN3EZlhiXQobdlKvPDunPx7hFnTRRfJRCRT8UXEspaQ4G49LWHVOTNAcDwgOugmvtNtvdHnGWognBMIzGryexCrj67ZTQS8cB51NP7VKrOFxYmmWuUqHvh6y+sIo/VArGB0tYh67l6B4ahgHN4ZAzExNstDsEN/aYjo9fZStc66gNhKnpGLpGPApghIALSz3umO2xNNnn2k6JFzYMtro91kfGpHtBnhCCx+6JOTOVkbdNbEPHtSwkbaZnLf7md2jcPRex1jL5iV/T6fsqY+XkNHJ5xZvy45iO52FqOm9aXuJGtpNrWdw3N0fX9+lYMTsrEfmScrQv1gxK7fSQrs3e+Q67iSLVj7JOB7kzU0sWtRnFU8xSOe7yPLQPlFTAnkt9mkj6L4fzNkIUZGyvhmyvhqNg0GCysM19C7PYpkktX6CWz3PP3AzNOwa8tN7g+vUerZ1oXIJz89prFuy8HGgafO97HO5a0Pmxnxnw/GsgzNfqS37854b8nR/I80Pf7LLdznhx/ZWbEN8KmgZvvdfkzjmdb32rzX/+iI8mxKFSi6EL6iWBZSrdng+83eY/fTigN5R8+tnD95Suw7sesCjlNGwTlmd0qgXBFy8lVApirC6908n42/9+QKN78xMTAu5Z0nnkDpPveMymmFMVkSSF//Ah/5Cr+xsd7UHGsysJX/+IxYPnDL7n3Q5//EzER5+IuLr16nSQTgx4bsxOaxq4JY1wK6G5llCdO5kMGsUpjVaf/uyAeq7GfHmept8iDFWpxO+F9HsRuqE4L/mCrcjDYwsKVVYzbUGuolGo6XjdlOZawpNPrrE4PcW9M3fxNeceIg0EH/vji8gMNjf79PshubypTDhd81Dp6Ubs6WBMTuZJU0m/p1RZQZGh97JQXuwzjIY8mo+YNhM+1nVo+Smtls/chDvuijBtyXsueHxu2yaRqjNpc7O3Xz7zA+6ZyNjeNskkPFYKuGqYBMsV3jU75LFHhximxMkP0T4q2O3CxERuVJ7bR5ZJdE2j6lawDJv50hxlpzR+vZarsdVpqgd5KjEMjemZIpubPey8dqispZuCYn2v/CMPqFer162c8m2amSmRphnXr3dASnrdgCTJyNKMKMwY9hL6e/YOe3ilDyi536W2uxLh9XZot32W5mvMVaeZKU2NeWJ3TvXYOLPJ1c1N1lY7DPrRieamN4NpC9xRWUUA1WmTzm5Mlu6L9wlt5Ja9bKMdk0nc6fW5Y2oSQ9OZKZfRhOB6s0V7RwVOmqYEDm1XI5OSnq8yRmkq2bgSMGirtu1SzcTOazTWlPv1Z5/YYKZWZKJY5O7ZaZJHJR/5+ArDboo1dfx9OF0qIQRc2W2w3m5j6BoCQdF1EAiGUXiIjCxG/LGS6x7aT60YsDQZsd6pcmVHBfxetC8SZxoZb7t7iw89ZbPZ6ZFJeahEV87pPHIuZuAbCAQffBQ2WjnWWx0++FaTr3tggK5LKgWTguPQP5BEm6tWuHdulkvbO6w0mwxG2Z3jYOgaBcchSwfI8TGoEm2pbhwKeFTWWqcytX9fRUE2Nv00TEFpwhyXxzVdBT17Z5UlkjDI1DNpM3pN5RGkVHYcj39mi42dAXefmWCuUsaxTCzDYLZSYbpcpnvGY2W3xdXrXXa3fXTzNRSlehnIJFzZTHnwnMHXP2Lx/Kr/6gOT0T5/4WMBP/pdOX78hwr8k1/2ePy5L086o17SODuj0+wrZeH/7ltcZus6/+y/emwf0zIvhMrg/M7jIV1Pjrpz91+fGmVi9t773e+yGfiSL11O+MDblYKzELA4qTNZ1mgclEAQMFfXaHYzwliVhX/om1wePGscivMNHR66w+RXPhF+1ZTMolhpCf3Gp0LecrfJux80ed+bLL75LTZPX0348BdCvng5oTe8PY/Gg3jZhd58VaPfVEq5fi87uftFSra3+zyZf5Yz03N0fKUZ0+34NK4nBIMMp6gxuWyMyzYHkcYSp6BWZ0uLNWzLYGW1hdf1MGzo+UpRVdd0Hrnzbi5vr9IbeGRZRq+nHMpBYJgai4uVIwHDjbAsg/n5EtfTDG8YAYJKxcHQDLb626z11gmTkFwe3v2AR/Ik/MJuRrvloafpoRbtc/Mxk07KUiFhqRLwD9dg7zZdrmUUbMnVTJAIwZsuBKw8YVA04dveGmKYaj9pCtu7HmEoSEsWhm2iC8m5QsLGUGeIhkRStIvomk6SJSRZgqGpr1UXmnJ3DyXBQBIFkp2dPkmcopvKu6q3m2I5gtqCQaVuYzsGnbavJotUaQWB0gXKUsnGunINl+meHohk2PHxexnBUI4zQkcgOBRg3TZG2wkBw3bKC090ae56XKntUKm4TFYrnKkvMFOa5r7pe7hz8g76d/XZ6u6y3txlq9GiPwiO5ccch7MP5A7ppShjRx2vd+BhJKE2Yx7r+J2lkk7f59pugzMTExi6Ti8IiGPJzvVozIfKl3Vs9/C909yMGbRTciWd6SWbpdkyBcfmOXeXlRc9hAEdz2eiqDhqdy9Pcf3+NqmuZto9Q0ml5quuWcGxAUEl57Lb7zNZLDBXrVLL5UDAIAh5Zn2drrd/71m6QcnZ6/BRAUM5F/ENb1qh682x2tKJE1Wy1LX96zpbG+JYGt/yiM256ZSf/lBClKjS9NlJnamyT6vvEiUJ9y+lXN5KmK3k+eCjQ3Rdjs5BnYdlaOiaIEwyZitlqvmU+WqZlWaTjVHH3HFQ7eUpcZSRJqqkZI8ydm5Bw3IEUaAkKqaXbSpTxpiDmCSqdLmX4clSSRJmmKYSwxz2lCO5ZatW9tBXHZVfzonG66W88FSXtZUBM4suE3WX2WqZqVKRgm1Tzeep5vNcWJylPfTY7vVoDob4cfSnptcDgFQifU9eSriy+cqzMHuJxYMlmq1WRiYVgfkHvsHhi1digi9DQmOurvHstYR/8zs+nX7GX/tWlzvndf7aB1x+4r8Mj80sVAsac3Wd9z6sc+eCwT/5leFYoPD8nDL83OP5PHDW4Oc+ElAtCr7xLda4AhGn4EdK6E9K5WF1blbnx/9KgZ/+LY8/fiomzeDTF2POz+kEMVQLYrx9Z3BrS6U3GqSEjUbGbzRCfufxkJmaxje9xead95v8b/9NnvYg44mXEp54KeHiSkKjl92WK/zLDnh0Q3F5ejvp2AH9JHj9lBcvbxGkAc6om2k4jMcTn+WIm5ae8kWTqRmLWq3A2869CcewmSpeJo6fo1x2yLuuMnAUAoTEzZn0jthLSZI4pd3yyOXKtz4/XdlWqIBH4vkxfiHgcusKAPVcjYFVY7fzJO97i8dnN0w2AF1mGMb+sMvlMuZKMVOlmG98e8gvfcbg4kaKEIK33gnFeoZdlBiBRMTQSnTOlBPmp/fvqmubGoNI8GPfIpib6fNv/6TC197h8777hvw/v1ej01Oft9FXFhNJmpCzcswUp9GFzvXOGt1uQDBQnByvl6KbB1bdI1kAwxaYlmBquoBtG/R7AUmyX04EJe4XBZIoiAn6GX4/Iw7Z1+I56Y4TUJtXbentjRS/d3sFfssVlKZVYKBa7kflER08L8LzIrZ3+lx2t5ibqnHHzCILlTnq+Tr1fJ17Z++iHw64tLXCS+urt/WZxg0igEKo4Mbv77si66a4qfN3c1NZCPSb62ye6TFVLIAQJGE27lCyHEGubJCmauLVhCDwMgatRE3CkwaztRIPLy2haxo5y8Zw1nBsg6lScfxZmhAUKwaDYKRxlSoirpPXxpPybn9ALZ8nk0pNuJrPU3KccVmm5Los1Wo87a2PScxxmvLsxga6pjFfqTBRLLKyU2SjmecDb9nh81eLvLjZpuRqTJX3u1FcK+HspOTCYspj9/r85udcnr3qYzkaDy+nGJr63ks5QTWfUnJqfMODDgv11ngfl7ZM2v2MH/2gzlRJ5x//ps7DZ7u8/6EuP/17c6Nz6hOnCYam40UhOcseZ2F2ej2a/SH+qH2/304p1U0lEGhpzJ5zWH3BH9s0HPy24zA75HmVZbB+KVAlzFiOnd/Dw/qLryk0XWUV94JhKRWXst9JuPzMgI2Cz/WpHvUpm7lahTP1OgXHxtQNpkolpkol4jRhs9Nlvd358h3oMfACORb2eyVwbcHf+gs5qgWNf/8hnydeUiX3OFWlmz114C+XieXTVxOeXVFWPN/7Hoezs8rb7q33mHzNPSZ/8kyMbXKohG3ocN8Zg6mK4B33mfzqlM6La2rs3X9WZXCSRGIagpwjSFJ49C6TiQOdoyvbKe1Bxt/5S3kqecGP//yQ97/ZopgTOAe4Yr/7mZAnLyV0hxnf/g6bR+408UPJL3zs9uUK3ohIUljbzfh3v+fzK58I+M7HbN7zkMX736x+Br7k+dWEX/+T8JbaPrfw0hKHshZ7KNR1hh3VCpom+lhV9bjtTVvpdaystCkWbCan8uN92jmN0tTxdYdCwWZ+oYxhaLimS2mUxbhn5k7WWzsYFkwVJlRtXWZca6+QjHLKlqWItAePyRwJGupCIx21OOzZKuy1sgshlOCdt3/TNhseQZAwN1diujTJPZN3Yeomn1zd5NtrK7z//ozH1zXef7/J9OR+p4ymwYQVUikkuPmMB5YEK12Ld9+p855HoTgZUZlLkTuw9bxJnMH9CyGGtb/S/b3PaZytwXvfGpNmgq9d8vnAmwf88seKrPoGmqY62uI0Hp9PPxswjFQnTbvt0djx8EYBRtDPKNYPWGZo4BT2OqgkW5t9cnlznA3RDWUt0t9NsVxBOMjo7tzawuBG6IYgV9bQdChO6rfnZi6gPGOQr+hMTxewLJ00lezuDg7pHqWJ6lh7abDF+naLqfpV7l04x1J1AVM3KTsl3nzmAe6bP/+yjlkNURVMF6o6uZI+Vt1NIsnmlYDJRfuQSzZAZVI95HrthE7dZxAEaJogCuU4oJiYt9ANaG3GyldqdP8s3Olyz9IURddRvLYRy3yhVmW7pzJrRWdfW8WLorFnFyjO0eS0gxBKT0cIRsalAkPTGIYhz66v89L2DgXbwtB1io5Dx1MzuD9MyRUUOXi728PUde4cdWplUvBHzyzw59/5Et/0cMIzlyRvfgSK7gGpCSGpF5WtQ85OOD8juLyt87Y7Hd55X6gkBTSN5doMrX4DKTVmq+E4S5Rlgt/7rEbdkrzngo8f6bznQoEPvqXBb39+li9c3UUi8aKI5mCIY5p8/to1Krkc5VEJ7nqzSa8djwOXYS8dCxCCEnWsTJlq0jrYxoXK5uXLOoPO/lJRBfl/egJp+bLB1JJ9mIczBbXAZONSgNdP8Qep6lrzEzZaHSaKBc5M1qnm8uqZqxss1ess1mp/asf9WsCx4PycQa0k+BvfmeNH/kWfnif5uodNbFNlPn7+o8FtEXRtS2WJXk72bU9h+H1vsvgLX6fcxrNMBVrvf7PF48/FfOOjNtXC4cmuVhQsT+lYBtyzZHB5M+W9D1u84z61KCrmBVMVDU0ofsoH3nbAAV2qzM2ZaZ37zxhkGXzzW2y+7W02H/p8yMe+uD+nBBFc3VRj899/KMD4gwAJt5XZ+KqAVPYV//5DAf/1kyEfeLu6TpW84C13mzx8h8nq7skX48SAx3GMMTn10EYmFKoa3Z2U3asxmiHUanxSH/Mm9jRiBv2Q3d0hWZrR7QYMhxFRmCKB2px+pB1N7V9nbr5EvVChPeyy3myxnt9iqT6PpVvUSiU2GrustK9jGzZ+7LPZ3WEwVHnONM2U67h1OJjKW3num7qHptditbNKZ9BnOIgIw0Tpk+QsojglDPbPOcsyhkOl9jyZr48dw7P8eWJjm7e/2WP2cZMzE8mRjqCJSkbNkWgCHj5v8JJX4Ec+2GRhRq0iguG+AaYAliaT8YNut6nx+48n/MA7TGxXafF8x9f2eeZpm09suWSolYZ+4EN3dgYEQUy57JIkKY0dj92VmHjEw0mT/Ul3fH6pWkEaliDLYjwvxjCUZ1oSpxRqiqier2rkShpRoLqtbhawmI6gOKETDjP8nhx3e3V3UnRDWWjc7mpE05V8QbnsoOuaKisMoyNCj6ACtuEg5OqwwXajy7mlDc5PLTFTnMHUTVzTPeYTbg51jUbcDaH4HwdtBvrtFH/oM71sU6zp47JIrZzDcSN6nZjd9YiZM/bIMV6ddKGqU54w8EZCinurRdvVmKtWuGtmmo7vcXFtE0s3qeZzaEJQdl1Wmi26vk8l55JmyrE7PbDcNTSdNy0vU7BVl49A4IxqBPO1KhK4uLFBGMeEI9Lydndf+sEtHL5fdE3DOtCC3/dNdro53nG3x0TJoWiDdqCkhYAzU5K8rYQV75nXeGGjxP/4rV3ma+rBPQxM8rZLx7NpDwMWJnrjoGO7Y/Dbfxjwgx8o4VhDLCPjB97T49nrda5s1blvPs9Or8/VRoPtXo/Zcpk4Tdnp9sdmrv2OMmfduyxydO33Ap4slYReNtLrSSlUFak5XzbQdcHMWZurT/ukicQtaOQrSnX7JA0cTVeCgrfjXH8rCAHHrB2xHA23oOMPVHtzEisJ/247wvM67A76LNfrnJmYGOsuieNWoV/B6Awkf/x0xAfebpOzBaYOSKWIXHAEu93byyCdmdH5n787xyeeivjNT4cv2wPr/rMGxuixmknVgfvgOYO5usZcXTuyuK/klRkpQpWxiq7gh77JpV5Sb4xitQAWQHcoqR6w6mgPJB//UsT3vlcFWGjwHY/Z7HQyfuFjwc2DGfnat2y/YTAKfH7uIwEffTLiz7/L4T0PmeQdwbnZk4mbJwc8rokfJCClEgWU+7YNblmj19gz6ZQEA3UTTiyqXVYqLq5romliZH6p3pckKUKDiUUD0zn+htwbUK1hl52dPisvDti69lne/c57KLgujmWRM/NsNJpst9uEYaKUj3djslTiFGB7q8/sXOlQ23uSJfTDAfOlOaI0Is4SymUHfxgxaHs0Wh6VvMkH7svzxYYkkBqDYYQ3jPAPBEEaGbMFSWnGoGhkvGVOZzs8eiO+/b5kHACWnIySJakU9x+Ku76Oa0oqEymFTcl8bX8if+6KhiXgvW/OVFCoSWJf8LEXcgTy5tfN92J8LwEkvUZGcEChOA4k4VDxoqSEyJN0tlPCYaa0dwzVWbBwj8PSUoXV6x0gZWLZwHJUJ93ceYfObkx3JxkHUurDValnYtnAtFX7euRLdq4myFTSv0Xkfeg8NMhXdWUDUrDGhpVRlNDrKtPMNAbd3B8rlm1gjgibhq4zCIa81LzMWm+D2eI0U/mp2/7841CoGBjmYV5EEimrh+kzNrVpE1PXeXh5kRc2t4jiHv024yyC7aoHZXVKHXRnOz6iDdP3AzY6HS5t7fDixR7XLw352rcuMVstM1spE8QxT65cp+g4eGFEs+3T2Y2Jwgzb1ZhcsHh2fYML83NHOC4CwUKtigAu7eyQZhJD1/CiiIJt8+azBZ663qfjxcdmdTVNUnQiZioeBTfioTurGFb/yPseXE5wTPVdL08avPnMHOVcZzyLdz0LQ1f7KeXK1Iv7JbEXrgt0U+f9j0aKPK1LsljwmRfraEKjli+Qs2w2u112+30WqlV0obG7E1KdNon8jO1r4SHRwCxVNhKTi0qJfXctGgeu/XZKv62eR2fuc3ELSgDVdgVeX47LXpUJpcfUbcTHqjpPLlhUpkx2VyNa2/ErLi8IjbEOkRBirHwtUR5jnd39Z0y+pGPZ2rg7L8skV3cbbHa7LNZqLNVqWMbLZiy8rpASfvZDAc+vpszUNOYndGwrY3U34x/+kneybcEBDAPJpfWU736XQ7uvXNsBTBNsQzDwJcWc4H1vsvjUxZjtA7o5QkAxd7hkBco1/tG7zCOt5QBfc485LhEvTet869tsKgeyQDudjGj03JgoC+Yn9iflq1spriV47P5RiXwU8P7yJ0I6Q8k3f43KLL1efl5fydjj+fzUr3v81qd1vvWtFl/7wDGSGwdwsvBga79YLeVhcp7lKNE5b6+VTkIa7asze36M4xqEQYKUcuQ/NeJgCA4FOzdmHeIo5drVNhIlshd5Gdc3B/zu8Evc/6ZJ3nfhMS5Ma3zyhc9z8coqnc2EYWdfHTVX0tD0gDBKmJ0tkc+rixAmIc/vvsBK5zrJSPW5bBl84M6A+6YkP/FbBp2h5C+9M+TbrDr/+bM5dvtD1lY7pKkkyRRR887py7zlri9iu8oZ8Z3LGU/0tCPnUa/vPx0naymzboI94tDIDFqJxnvv9Fhejrkripio7r//0gZ88EGDxTP77LzmlsFGYI3lRNTEJMbX13XVTaNrQKoxaB5++MoMmmsJ5UmdYVdd17HFhJSkEWS6IE0klqXjOIby7coJEILZuSLFok13ImDF6rJ9RVli5MoaTl55BO3J+QuhODjFuobXzVSAYqiyy57P15jwefBeFlCeNihOaBimRn0iP76m/kjzqbWeEPQl+apGeVpH05WidqFgjz97D37sc6V1jZXO7XF4us0E21G+Yropxjy10M+OqASr67bPLYqzlKfX1hmGIboumFq0DgRkgmLVIFfSSaKMQSelPHk4cO0MfD7Xvj52yu41E37fv8RbH53jgeU5HlhY4KXtbZ69us3GlYDQ3//+hp2UQtlA03y+cG2FxVqVMxMThyY9FfTUmC4XOTvd5uzMgJ/+fRgGgh98b5f2wOI3PzvDs+stGv19MpwQkkfO7fK2uzfJ2QmakLzljpTnN7IjY362tj9eq/mYcj7CtZLxtdrt6twxt8tsbciZyYh6af/9l7cMPvAulzNT7fHftjs5ttqw02+yUK0yCAMEqky+2+9Tch3aZkQ0lPR2lUfdjRh0UoY9f2xmeuQ7zCAMlDqzEFCsGYR+TLGio2uCiYkSjjvEzmmHTGVBPQfLE6pENrVsYViCndXoZQc9blFjZtnGGakjL9aqlFyXZ9bXGbYTNi8H46yVpqvS3HEIopjrzSa2YbzhSlqgylYfezIi7wj+xV8vomvwd/7DkJXt218w7XYy/vmve/zyJzQGo0XZmRmd7/s6hzPTGv/gFz36nuR73+vw7e+0+Znf8/nkM7ESeZUqC3MEAt7zsMXHjjHlzB2YyxYmNNp9/ZAL+8p2ytc+YJFzBB98u03pQEC11cr4lrdaFA7sQwCOqcppT19NGN7EpkLT1LP+yyrI+AZAlqlS37/8DZ9f/kTIp9598/eeGPA0ridYrnrwy0wFKZqmxLLsnIZdUJPZHtzSfrqv2fRot/Y7PwoFm15vxHK9AXu2BgcRRclYLK82b2A6Ga2tmPXVHoPzQ+r5Gm89/xCu5fB57xq9xmC8a7+fEQ4lQiSsXu8wOVWgVnPHKV4/3j+ud54XfN+7ughd8r9Kk7/+/2b81udtfuT7tnHcOf7jJyvKV0hIbN2ilBvw5nufxbX3HZ0feCjm4ifMIw//g5gppzw2H4w7sPZ4vg8thbiFjHed8w+95uo273pTjOHsXy/XzfiLjw74w5d0/uiKRq8fIlDcnbm5EqWizcKywzffnzEYavy9dsb22uEbNI0krY2be5jITLXaJkmG7Rj0++HeaSqjU12jUnFpV33kGfWCYYljBP4EQkgqMzqlSZ0sVWape637e1L5SaQ6vrxeNur606lMGziOQaXqjk1SYVTOGsqxoWi/ofhEtXlVfjspg5/epuPi+ktKEE/T1Tk5OR2hQ791EzE1obho6qSg1RuOtVr2Vn0SCDx1bpomaLdUiSQblRj9obJDaG2qDNL0ss2ZCzkaGxHdRsILV5rcOTeFY5rcMTWFLnSS/jar1/czLFJCeycmV9KJkoTLO7vs9gcs1WtMlYq0hx4z5RIguG9xyAffuoahZVi6yw//ZMJvfrbEj3xrm6Ir+Z3PzfP0aocwSdA1jVoh5J33buyPeeAd93S4tFkmkx66OH4wVYsBixOD/U4uKcgkvOlcF01I7l1sYejZ+Pg1w+EH3z/ENPYvdCUf8i1vbvDhp0I++WKTKE5IswxNE2z3esxVysw+kPINDwiGkcbf/dcdOq2jk5K8BW3soIDfXleg0AR52+aR5UWeWLlOVMtorO1n+QoVHTunjctlmlBq0boh6DUSNEOQK2qYoyxMGkuCoTI+jaNMdYPJke/VeWecrTENnTMTdVZbbZCqPf2Qq7zkRB7d+akpFmvVQ+XONxqiRLLRzHjLXQb/03e6/MonQp66kowDmFtBZmr1D+qZ/H1fp8oeAD/6XTn+958d8NEnI77zMZv/5bvz3DEX8Et/FOKH8ghHZw9LkxoTpaML24NwbcHi5OFgdOBL3vWgWvy85W7zEH8nk5Kve9g6XMcU8D3vcUgz+LVPHm1Hs0y1n2981CJK4B/90vBll+2+GiElh7J1x+HEgMfrZkS+oDKjE0eSzlY6ciVWTuDihi/p0KQnJcNeRhxI1f7cU6nrNFarZbe4Hxw5xf1gZ29eEtp+ILTn2J7Gkp11ny9cfZq3nX+EklPibecf5s6Zs/zOHz/OM0/sjs1EB80UO2eQCYk3jCgUrEOT5x6CMEJoEgG86YGYv/0dBhPFlHAAD55Z56/qy/zek/dwrbVN3i6QdwbkrMM+KZNzCecWTZJUYGnH35CumXHnVDQ+Z92Ad531KWoZpFA7kA3KMnh0KuHcg/Gh+6A0lfHw5JDf/KzJc18KSUKp9HMmNEIv4C+/TeN9D4fkC5JhV6NQsvhf/1VG8waxtdtdfYoDny6lZDiMcF0lDhlFinjUb6TEgWTyzL5fVn0ij20b7O4MiOMUTVeTyF4WStc10jTD82NMW2Wp3LKG31OmoHPzJUol53DWL04ZDCK8zmE3ea+bUZrSGQ4jqrXjW5VfLiRKgyWJJb3WycsngbJHcAvKR2z1RVVym16ycAtKoLCxEdHZTZhasJStQFOVUcqTJrtrIa3NeDyhiVH5y8lpTC1aeL2UnU2fFza2uH9xXokZTk8y/54KH/3MZZ5/bj8bMmgneP1UiegBPd/n2fUNrjYsFqpVekFA3rKRBKpjSsDD54L/P3v/HWfrdZZ349/19N33zJ7eTi/SUa+WZWy52xhsujGEDimENwRIwEkgye9NeUNC3gAhJAQTzAs24IJtXHCVLFuyZKtb9ei06X12L09fvz/Wnj2zp505R5J1XK7P56icmb2ftp617nXf131d/PN3pSnkJGGkcXykTPLOEPtrh6k2lQZNOuHjWN33oT/rc3jIJ4rp2s1uRiYRcGpirTOZC01y27EyPakQBAzkNjYeUgpefSpkuLf73erNuNx+wuNj9ye58Fwdr6XI2MOHHRJWxNtvCXjddU3STogb6GTsDO/+/Rqray9sBVh/nnXX4+m5eequ27Hj2Dhn1fkFtDuldEqNJj0DZkfbZ6d1UaI0fCqrYYfntR7sCAGH2jyctXqdwFcu6V2fj9UculXWYB0zxSKapjFXKu34828GBCH8/t80+cfvSPCKq02umjB4bibkt/+q2WXdsB9ISVcp6tiozq/9UJJ8Wt0/24IfeY3DLcdNPv6gx4mxnZfFpCPoywmiCHarFho6jG/RxPru223aWrFdc5oEXnnKIpXYPkqySdEpg21GyhH80vclePV1FoauCMv//EdS/P5HmlR3ykx9B13YM+AZPGyRyRsdjx0rIVibaWt+bHHkRkJlWbVtJnMauqkyQdUVpfnipDXcekxlUbX32se0ToC0eRBEodJ/UeJ1klROlS6spGBgwsJtRpydXCLhPMudh29F0zQK6Tzf/arbWFm+m8VpVYZrVmPEXEh+2KDlBlTKLsmU2eYVaYDE9yMeeNbjB27V6SsoUu33vjEENib3q8en0IXOg8/dQBBZIOtbmzvQNMgZ4HoCy9xl0AmwUt0/mziuFjrDWi9PKeg6HL3F25Y1MSzJ1LTJw7NaJ9AQuiCd0/neawLe8RoXISUyEuT6I269Fixzl63IPrDV9mN1pUEcS8olZeWwnmEBKM4p3zXTVm392axNs+lTr/tkM6ptOJO1SSbNTvdfqxVQrXqUSi3iSGk6pdI22ay9bQfluiGhHxH6KhjecHtX/mMvlhZKYUT5OaWyyt177pzbLaK4BVJCeUWR0AcO2PgttXOfOe2SLRi06hGtNo/Kba5nMySGoYxhq8UIzRDYlugQUhfOe+T6DJyUxsQJh2ox5PTkKknH4tjgIMdGyqzVHF5762GKxWdYXlKBQxzD/DmX0aMOiYyuSp9S0nA9JldXCaKIhufx/JLH664z6UkHGLrkh15V6xrQY311vve2C3zswcM0vJ3b74Um6c2EtDwdy9g5KDS0mIF8dw/30ZFy579TziZenCY5MtztnbeOqRWHr8/GVNc2Mh2NcsQvvDnB225Z7mj4OFbEzcdcTOPyxzwos1HNEJ0y/kK5QhRKFie9LvJyoxLhNpUMwFhvkrRtU2o2QYKhtbtBd66OoBuCniGTZEbDTumkbBspJflUkgOFAm4Q0vB8GpWwy+piHW4jJrtLxaracnlyZvYF3YMrAcvlmD/5dItTBw0yScHVBwz+0dsT/Lu/aBBeYhnn3id8vvs2VVYSQikqb4amwdFRnV/5geTOUWobgz0aYXxpei72LvJvQqgOr52wVIr5yjPblZt//rsTvPaGjVK5rsM1Bw3Mby661suGPWU5T13fx5FjBQ4c7MEwN0wg7aRGYdxAbFGZDT1JaSGkuqp2JNmCzshxEzupsTIZUJyLOiTe9QUr9JUw3npmx7QFliM6pY56MWL5QkC9GJPO2vQPJYmimHPTC0wWZ4jbX9SbznPnHcfI9lodz5xGOWZtNsT3IlZW6kxPlTl3do3JySIXzpd47qlVvvTVKp+7T9t1wRRIToyd51WnHiFnlhiw52GH9S9MSEqV3d+UyBckst0HsZISJy0xLNnOdGxgJw8o3xP8zQNpaqFQZb6EIJUVvOuV8JNv9jB0qXgytlKDffyMTmMHn7P9IpHcUJkF1f22slzHcyMapbgr4HVrMStTIYEXs7BQZXKyRLXikk5bDI9kGRrOkEpZne8TQpBMWgwNZRgaVFo1mqbR35/asbuk2fBBQN8Bg4FDJvp6INf+XSext6jkfnHsRJ6brhqlJ5PEcjTSuf3NJNW1kGY1YuSow8RVCVI5neJi0Al2AKUp4sf4rgqK5s66+C1lzrpZ08prxSzP+BQXA+yUTv+4jW4qtebVeo3JpSzlhk3Ssbjz9jGy+Y1rDzwVbK3r0HS+Mwh5bnqJZ55d5YEHq3z8K9bGmN96uwWM9dV4++3n6U2rstROI9vUI8qNPaYQsXvqf78IQo33fSlJI4o7/Bbb0XjHHRY/+l0bgoUASPjq8w6l2gtT4rUcQaMcsTTld+KVWins0uhZRxRIFi54TC0XeW5xsUNSPzE8yI0TE4z05LdZUaxDAE5KBaYThV5eceQw142NYeg6Dc8jkjGmrTJ9qVx3mcTaISuwDsc0ySScXX/+zYSZ5ZhPPLjRaXXDEZNbjps7dvfuhXMLEQ8/v48o6SLjtdKQlOuXP6fuB1LCh7/sdRGVdV1lod50s7XtnXryQvgdUvM+sedsbreFAi1LcQ80XZDMK2JfIquRG4TyQjcfJJXTSbb5OJmsRSbjsLRUI9uvo7fb131XorfJ1PViTG01RjMg06t0eVr1mHBTp4WMlcru2kqzUy+v1VzufvQRjh9c5OaD15CyUtx+7DoKqR7+6m8eoFr2QKqdlKYJbNvA90OCICIIIirLEdW2psx//zC85haNkdGdB7JAcmR4ipH0LIl0uOMknjAizs5pHBjdmSuiGRIzsf9BuV6n32yPMDVt8mTRQggPOyUYOWLxrjvgn7xT4mwJmFZXdf7iS+Dus+bddew2udyydExLx/d2mCh2uAehK6kuR5jjgmaoZqhmIyAIoj2tPfR2K4TKAO3Msvd8JdpoJzR0I+roAyXSgkJ/gt7eS2s73w0Jy2S8p4eG51GqN6mVLj5JrnN4mtWI4UOKOG3a6n0xLIGT0mhVIzIFg1Y97lgQrAccMqZbybkNt6m0ruyERiKluDlPTM9SKvRyuL8fQxMcGSpg3KXxqc+do9FQX6wb293ByysBKzN+R0X4Dz/o8ZrrLQ4M7lz6EQIm+mv82F2nSdrhjs9bCJ0zCxoHBl46AsGFpSQPnw9UGeuITasc8oOvtvi1H/JJ2t3v62LZ5ANfjvC9S1+QNm94DFsj3aP0iOJQle83a/NshdeMqVcicoX2dCqVieyNExP0plKYus7U2tqupWTHNBnK5bDNjcC12GiAVN1YqaxOrj/m/JMtpT6f0sjkd5+6vTAkiKIuzaZvVkipFJwffj7kH31vgqOjOv/yXSk+cr/L++92981diSL4i8+3uP6IQS51+VH4QF5jakl1kb1UWCrF3PfkxoUZuuL0/PjrnG2ltHpL8rGveC+ZGOO3GvZ8asVik2rVZWG+hu9HGBYUxnSsNqM8U9A6wc06klkdO6WRSlnkexLkexyGhjL0jzjk+yxGxrIcOJKlp0eRiKOwrZXhqzbq8mKE15Cqi2vTuPRbkpXJsKN1kc6osseTp6c4uzgFqKzB0ZFxXvfqU8rjqN1BlExZHDrcy8SBHrI5R5mGZjRMR/GDzi1F/NFnDDxv9xdBIElmdg52AMb6Y6aXtV3pMXZGXpJzd+h3H0hK+PLzCVpSo6cnQS6p86tv1/mVH5Ukne6jFksa/+H9Ovc/7HZ8gfYNqcTW4kgJMg4NZtou2RvQdMgP6mibSwftIHirkOR6KzmoDNFmiwcpJcVik6XFGrouKBSSO97fMIzxvZCh4QyHDvWSSlvYSRVQ5IcMBgbT285x/XilUmvfthIAS9Uq9589y0K5AqhgZp1obTlix+6YRErjwNUJ+sc3gjXb0Rg+ZNM/qsrCAxM2iZRSjd7v7jT0JdPPtph6tkWjooIZPwx54vkFFooV0gmf77/jHG++Gb7rFRMdTZ9Mr7HNzTuZ1cn0Gp0AemrO5X9/xsL199CtEKrsJHYhJY/2+sysai+dyquEu580KDcVcTOXNfn1H0/w7h/1STrdmbPlssm/fZ/JAw9Wd+zEuhjWszdKuE9nYNzGTmgsXPAIfFW22unZm7Yg12d05sR11FouXzt/gfvPnGVmrbjnPRrO5zraOaCsMVZq3S3/hqWRbmd5CiNWl/3JVkgpiWXMieGhi173NwOiCJ66EPKR+5Rf1Drn5q232hfNyGzG1HLMX93jviD9mnRCML+Di/qLiS8/GVCsqwGTSgh+6fuSuwY7v/vhJk9Pfpu3aV0C9lyCTVNnZrrc4Zess9OT+Q3CcW5Qx63LTsvu6qxPqqEjhyWuG2K2xf80obIslqmTSquFwTR0mpUajZIiosahyhAAGLagZ9jodIE5GQESqisRPaOq3d2yDeI45tnJKU6OHME2FFfklquO88jjF5iZKanuonaGKpWySKUsoihmKVHHTrSolyNqqxGfeDTimgmLH3ydd8npUoCetCTUDWBnk5dL3VPohkRsml+lhLoriaKYAz0Gv/I6i9fc1Ow6VynhqfM27703xae+VqJevLw3O44UvymRNMlkbdJVe5vPWapHQ7cEjaLi1WQKOvl+kyDs9hQDCELV9TUzXUYCIyNZHMdQfKByC98PMU19m1DkxnVJBttt50LAyEgOtxViWIJUdndj2CCIWVqqkUiYHVuTi0Kq8o8ESksBtaJyqE/mVEdOMqsz14y7uBzllZAwkAwfVqrGO0IolW87oQKSyur+JqkoVJYgbk4nnW9flx/zxLNLHBg4gkRw4+EVnpk+wlPPrTA7V+sqoRi6RsZxqGouQwc1Mj0GxUWfejni8494XHMowY+8cktpaJ8YyEUkrQSS2kvi0B1LwXxJ8WBGemx+5rUar7u20nWuMobHJ9P86d0W9z5UpLVD2Wlfx2qbgg7nsvSmUzw9N49hirZmj6BvxKJ3ULI07VNdUyWzfL9J77DZIS5vxW6O9JuhCcFgNtv1d2uNBg2vex4RwMC4haaLbeWtnSCB6bXiRX/vmwmPng1YKsUM9apNw4/c5XD/0wEr5V2eeZva0IGEjz/gcWxU7+LBXAoKWY0g2i6l8mJirarG/Ilxnb//tgSnDhrdx5IwtRzx3s+4PPBM8C1jGvqNwN5u6ZsmzsCTlBYi+iaMrjKL6QjstKDV1uORseJzxIM6URQTbcowNJtQqbgkUxbZrE0mY5PvVwaf1ZWQwG27G0slYuekBakedYqarjq4Fs8GrM2E5AfVogywWqry2IVnufXIteiajmWajE1kmZkpEUWSlCko6BGlSGcsFfLaQ02mKwYPTWV4bsZjLm7R8mL++6cjCmmL197uX/JgTiRi7jzy4kXaOzl915oeg7Hk117ncuBw0HWOYQSfecjkT++10ZKm0hTZRO69FAQtiedvXIu9SyDipAROyiCRsBgeyWBZOlOTpW3q3ImEiZTqO6N24DMykiWVthgZySmdo12yMHEsWVtrUq97OI7RCYx6C0lWojpRHOP7Ea4bYJp6R3MJVEluYjyPbeudLsF9Q0oqKyFxBLk+g5GjTmdRLwwrjs1m1CtKA8bcTfdKQoTqMBo8YGNYgnop2tb5s/WZWQml4FtaDtBNtdgFnuTCfIUnJ9YQ4iCFjIem6UyMZZmdq+E2Y7IJh0xCJwg1XnlskKMjK1xYDnjkfMx0zmDydJPSqs977zEYLyS486rmJY95x4q4+Yj3kgQ7oPR/Erbk2okkv/q9LQ4NuF3xZBwLPvdEgj/4tKThNbeV8S4Fvqs4aaM9PR1HeSuh5HHVZk5lFIcO2fQOKw8u09Fe8LULIbq0kmIZM7W6tuMiZtoaQ4fs/R1TKl+xbyUUa5L//ckW//QHkqQTgpQNPRnBSln9vCcjGOjRmFyIeMXVJq+9wWJmOeaBZ32en40IQ9X99T8+1qIvp3Hd4Utn+po63HL8pWUI25bgtTdY/P23JejNdj/tuG0i+gcfbXZMSb+D/WPPJ9dqbaiuarogDiSNUkyqneFZT/VvNlNDQKpXdWAJITAtpZGyXlZYtwBo1D3SGZtDh3uJD0rcVkip6FJe9aisBdSLEYvnJFZCGVuaCUGjpNyJw7b7t50QaLpSeH6gdZqVaonBnh4cy2Z2eRUkuDXJiCX5B9dWmHMNTk74HDiqBPl+rKHx6HMWf3a3zT1f81iOJH/4OYfrj+ldooH7gabBVcf3N/kHrtKjWffN2g/KJZ1caPDT39Ni5Ei47ThPPqvzm+8Jiaw6Bw4aJDMGuiF27PC4GMIAwk1kZ3OngEcIEgmDVMqiUEhhGBrBpue8GbWa1wlkQZW5Zmcr9PWn6O1NMDaeY22tuY2sLKUqqxbXlFL36mqDwcEMmqbKX24rpNHwmbxQJIolqaRJ4kBPJ1DXNEEypci55VJr62ntDSFIZHTcZkyzGrE273f4YL4bb9s9WrbY5qu1De3fN0zB4IRN/6jEbca06hH1UkSjut2nbL2EG3iShfOqcy+K1Hc9+NgcHj6ZhEPC9JhcUG3IrXpE2rD4Z98bsVq1OT46w4H+KhJBrWnw+KTFez+f4bOfr3Lu2Sa/94k0J0Yt+nOXxsURAo4OVy49fblPlOomuYTBz/9wY8dze3LS5N1/4KKnBOm8EnVc3xhdLrwwJI41JBLTVvPc/DmXkSOOUsuGjvv6ZqxLGPQMmJcUOEZxzLnlFa4ZG0ETGgvlCqVGY9fff6mCy28KSLj/6YCZlRqDPRq6Jjg7t/GwDw/r/It3pZhdiTkwqJF0BHdcDd93p83j5wL+5ssbWj5/+LctfucfpEnvQf7eEYKL2he8EDRdSW9a8K7XJnF22DydW4j4rx9s7ipG+B3sjT0Dnlp1I62qG8o0tDgXUl0Wbfl/jdyATnZAx2sqzR3TFmQKakCkMzZjYzmazYC5uQphsGkmEqrEpOsauq7KZ5mszdiEZGG+ynOP1PAbMV5d7lgkkpEKetaxNOkTRotMZZaJQ1iYUhOk34r52nSL/3m/zW/8gMf4wXawICCdjnn1LS43XyX44DGLP7k7ZtTS8OsCCpd+M/f76miGxK1qGL37G7RxDOVzOu98vUffxPZgR0r42/tg8vmAvgmd1ZUG+XwCJ928rLKWpm2ka6WURGG3g7SmQT7nMDySRdMEYRizutqgVFTlqa2oVFzqda8rixOGEUuLNaIopr8/xchIbttC0Wr6rCzXO0F3qdgiDGJGRrPousb4RI4giGg1Q6IoJpO1d+yIEQL6+lOXdA9UB41a2AJfsjztd+7N2HGHZFZn4YLXCVAyvcaevIqdoOmCZEYnkzfJ9UWc/3qzy7piJ0Sbbm951efp51boGTBZWwhYW1DnGPqSrz68zJ/me/nVt69xoN9tS9ZLsqmAV58KuOGgwQePZfifH3JJmwmqTXHJAQ/wkq7ALd/iJ++qk05sLw1JKfj4fRpzMx6JtCo1Wo6Gk9J3JIDvD5LnFhZImKbKMusCy9Fo1ZQBqWUYHB8a5PzKCs0tbNlmNWJlxieT1ztCgxvfCo1KiK4LnLTedcts02CtUVemxaHL6cVFYqnEP5vViEzPdj5WB+t//e209kmYXoqZXtqeun7sbMh/+UCTX/nBZJf6sWUq+4cbjph89hGfv7zb5fCwzi7Ncy8rbFPwttvtnXV+pGqv/06wc/nYW3iwufFSh77aZSazGm5dKtXQmiTbr3RkEhmNwI26WlHXvbTSaYv+vhQLCxsp1mTSpLc3SbMZ4LYCegtKNE7TVLvypQ7GKJCU5kOsI2bH7qC2quwmFs4F3N2K8UKb/+enJQPD3RNiKiX5yXcEvOFOAyf2yfW8gC3iPqDpkMzvv9YkBIxfp1SXd7otq6san/1ahIwlzaqkmQvo6UmQ6TWol6JLnxDbB4ljyfx8dVs5yLR0+gfSaJrSKpmbq1CvdYelXTVuuWGeGbdLnkIowcnVlQYylhT6Ul26P1JCcQvhOPAkVemSSln0FpKqHGAZWNbuw3jd9TxxiW3rbiOisrKTSWnb/T2r2s7Xya6hL7fpM10KxKYgc7+QMSxN+2i6MjctLQcdLl2tFPLJz69RrWf5Lz+7PXuTTYX87FtD3niLSSZZIZe88oiPo4XdMx2zqxZ/+yUVCHmtWKm/JwSZnhcS8CjLiqDNahUCkmmNZjUiDCQJyyRpWbuKCUahpFaK6B3aLKQqKa+GLE+r96Nv1KIw3OaPCAgjlS2cWltjuVrDa/sERIFkZVYpbY8edTCt7UdNmhaxlPviCn07II7hq88F/M4HGvzLH0ttE/SzTPie2y1uPWHQk9awXhwlixcV+h7Jo2pT8sAz33nWLwR75uCFEGi6RhzB6nSArrd1UA4bWEnlnN0ox3hNiddufw592oaiaoe+vjt3EhuaLo5jMjamdvRCsI106rphp332UhB4ErceKxXbQdUthgS/GbM8GXLfsx4fvUcnCrZPHpoGYwMhfUPhNk2cF5sUFrjikr5TeY/tHOxEMfzlvTorvrJ4ODio8YoDGm4rwHBUFgHUvwt5nasPGVx1aEMVecfjtUdFFMbUal6nTR1ARuC7EQsLVdbWmiwt1pVGziZICcXZqCsDB0ple3UqZHU6pDivgtH1UtXUZIlGvZ2V8yPKpSb9/SnGxvMd/Z56MaJejFlZaeDt0CrvuiFu20k9jlUH2PRUialJ9edSUK9ENGvbF04pYWXOZ3na73LHrpXCbdo3+0UUvYCuDwnFBUVcXDee3DiniHu+VOWvvpgginfOfE0MBPSkg27X8ysccSz46y9rLBV9hAaHRm1uOqo2Ok5y4x5omqC3x+DY4QRHDiUuqxlhPWsnJVSaLR66MEljh17o9UCzvBIQS8VFXJ7xmXquxeIFjzhSpbbSUqBKoqB4XW1R1+cXlyg3N0QakxmdseMOXitm7qy7Y+av6fs7BjvfPE/yJYCER86E3PPELn5mQokHXonBzl6QUrnGz622lcYLGndcvV2PaN389NiozoFB7du8Brode2Z4DhzoQWiCqakShTGjI/ZmWIKeEZ3lCyHF2XVREfWvTEHriGLV6z6lUove3u52Y00TCCGYnVE8jkzW7jpuGF7mAiChuhJjpxSHKNuvKxn2RoxhgtDhQ09IXnOLwYnj+4uU4wiK0wb5sUh1Tm0mCvvr92P3KUYZZXYLCZoJ+aLNSo+dNvnAA5KeHo2feWOSn/2ekGoVfuoPPEwdrj5icutxwauvgxuuhv4+SbWi8bO/bfDgo+6e5xHFclu0p7cninrN25bVWYfXkDQrEVZSEc/XUV5SQU6mTydT0EmkdAxTx20FuG7AzEyZXN6hXvcxDY1cXnlpZbI2y4t1vGad1ekQ3RTMmRVGx3JddiHNhk8mqxRrl5bqFItNWlWlEL5fSYB1Feh8v0lpSSlhR1sWm3opAqJNn1GfW5ryGD+R2L0EscNx1iek0JddnV+XAq8Vs7bg0z9uEUeqqyuOVeAaS8kHv+jy+hsTXD3RvPiXXemQ8PgFi08/FtPba/CuHzb5iTfFlJoR//S9Aiepc/KYw61XGbziGo1bT0b0ZmMqDZ2f+3+SPP7U/u5BLCWaECTavKBWPSLwYvIDJsaW0qWUytYD2oGPVNyr4oLf0UexHEHPoEm2YO652diMZFqnb8Rkadpnedpj6NDOJdvNaNZVaS3ba9Az+E22qr9IkBL++oseNx0zGSm8dHo530g8MxXy8Qc8MknBd99u832vtKm3JI+dCwgjGO/XufqAzq0nTI4M6/RklHHqv/o/dc7Nv7QVi28m7LkMpNKWIi7HsuNuLmNlKhoFStJ/84IpdEGqZ0O3RErJ8lJdkZc3ZXFcN2BxoUqt5nV0cdYhpaRZDy6beOg3lZt234RBJq8z3KOzsBRhZgWmrbHSjPmfnzb49yMa6fTFAytNh/zo9mAHlLx+s6SR7t85+wJqMdQNusodAl6UyHtyVud/fcbkhiMRP/d6yfXHfCpVjfd9weSaXp3XHwl54xt88r1xZycgUd1yA336xqK7BbohQLArCVnGKpu2m9prfS3CSmokMt2TTaagkR/SyfXYFArJTsmzWnFZXKoTBhHFNbUg+Z5gYaHK0JDSAeofSBNGMVHQpDSv9JCiuMzQYIZ0RmWA1suiQRB1MkBeM8Z09k8yvGFinCdmZgi8iGRWZ2DcorgQsLawe4Cc7TMYGLNYmvZZnfMZPLDdGmMzdE3j+olxoigCISg1Gjy1tvyCxMNqayG9QyYHr0oRtwSTZxok8xp9oyrz8af3mPzf79JIWN/ECmUSTs/Z/O4nDa4/KPnxn7S54YhHqaHzF3+X5OiAzitPaHz3zUV60l6XSWO1adDfZwM7BzxbvQH9Zoyd1EikdbIFg1oxJPAkvhujG4LCiNUJfFr1iEYlQjcEfWMWQlNik3ZSw22qIGlgzKYn45BxHJq+TysIcH01ptZfwZ3GTM+giduIqayGGLZG34i5Z9Cj6wK3EdM79O2ztdd16Elr1FpxR4hwuRTzl3e7/NMfSO5ZJvpmwEIx5o8/1eK6wwY/+lqHIyM6jZbkb+5zufW4yRtvtrj+sIFjia51RQgunZT9LY49A54giJiZrLAyFZAp6NipDbfrYBfilNjyMkZRzMJ8tcP3AFVuqFRcNF3bpo/iuiGV1QAZXdpuV9MFEjq+SlLCK8ctfun1EfMVnb/4qmDKtUilLR6aa/Dnnzb5qbf4JNMXP85uGRzdgEz/xReQOIKVcwaFg9G+OrNCTxDHYO2hzHxuUvAHH9X44Vf6vOaGCMeSeHXBua/ZvGVCMv5Kj76DIXay+zvcqsYjT9oc6Y9IpTTqO5RhrIRA17ROJm5rUBT6yiOtMK7c05Mpk1TKwnNDyuUWmT69nVURXQGTndTo60vRP9BtH5HLJ7Adk7nZCq4btPk/knLJJfAjRsdymKbO8HAG31NZorWZkNCTeK0ymazFwGC6Ezibps74eI75uSoyVoGqYexv1lusVKhXQubOuKTyOqalkes3KS7urneh6yqYHjpoM3fWpbjo0zu0ofMRS7UxWF+oEpZJXzqNrmmKA1UqUS+/MA5N3A5CT55I8ktvCVgq5fjggxrPzreQEh694PHHn0vy99/YxPkGBT0tz8CxdhfrvCRIeHbG5n9+0uCdd4S84YYA24yJY8G5hTzff3vIydEq6cR2ocQw0nh21mB0IMZ2NDx3+/UbltY1JtdtLAByfWaHz+W7ksJwN0G9VY+wEur5r5cVw1B10w0fssn3m5wcHmKiUOg881YQ8Oz8PMu1GsvTHm4jpm9ku4WEpgkGD9oEvmR11sdtRPSNKGPa9dNNWhamoVNttbASSiV6v1mkbwXccZXJ//X9SVYrMe/5uxaPnVXq//c87jPWr/OD32Wzz9f/isNiMeav73F5510Ot54wO9cRRPDOuxwG8jsLmUoJT0+GHBrWeWYqJLjyKHovC/YMeObnqixccGlWYlI96k4HriRwJYmcatn0GorALDSBjCWtaky6sKFPEXgSTVdCelIqHoeUEsNSOyp9S4BUKrao7kOUTTeFKgG0NXv6DhgYhsBrSqykwDA0rhvVOHZ9i+M6XH2Nzgfvc1j0BKVcmk8906LUMPjZN3kMDr1Ik/IWrJcVNB3yIxFxCOym07L52izJbpQKCTw/Y/LVJw3e/ZMBA70bXVtCg+te5WImNrJRgS8IW4JETk3yiWzMW17X5JbrdT77sMHTz3UHPJohSGQ0nIRBImFiWfo2voxuCNI5g76+FPmeBLatIyVMT5cBsFOirbXksLiJqJ7J2NuCnXU4jsHIaJbJCyUCP26XoJRD+/R0mZHhLImkyehYFs8LaZQjivMhtWJEMBZjGBqjY7mN+ySV4KHXaCtcO/tLGU4vlZg/5xL4kjhWwXmtqMxBhfKc3Rb4VNZCMr0GqaxO36jFzHMtWvWYbK+BBMrLAVEgSfcaFIZNbMNAa98DNwhYKTWoXUY3nZ1Uruq+GxPHKhC94aDOVeNrXD0Bpw7Y/NkXbWbXYLkqufcZSbmR4Rfe4G1zJX8p4FjRi0MhkHBhyeGhZw3+xY+4DPduWF1omuS2Y6vdquyBThQLErYat4YR88Yb6lx/yOT+R23OnN0uUZBI7176SGZ0eodMwkAycjDBUCGDJgTL1RpRHJPrV+7o6/IcEiguBTgpFSz3tA1BNW3dEV2QtCxumJjgkclJKsmQtYWAMPA4cNX2kqhhCIYO2kw+3VTyBZUW+X6ToUM2CdPk5kMHKNYbPOd6RGFE6EvqpaiLz/StjOuOGOTTgnxa590/muKj93ssFmOmlyM+8YBHsRbzk290SDnfREGghNnVmDNzIT/z5gS5dPe592TarPdNv781u3PnNSY3HDF49EywY1fbtyP2DHiqFQ/DFJi2oLIUErQ0mtUYwxL0TSj1R7chaZZVl4RXl5QXQkJfJ92rMgSVpQ2rCClVwCRjSTKvUxgTBEGMsanc5XsRyZxGmJAEnmor34lnsnnRSfVojE5kGO7vJWHZBFFAsVbjQjXi9OMhx6/3GeyP+MV3VIhigecKilWNyBcYyBdFNXOntHSzpKHpkMgrr7D1Ml3grROJd7abWCdzb0UcQ2lBx5bwY9/tYmxRx7Xa2RwpoVbWmJw28VuCI+MBhi0w2xYUAkg5MQeHDJ4+TbeejCPQTYGuq+eXydhdAY/jmAwMpHESSgRQSqWrs7baoLGJvKxrArPddRVHKljItF3Tt9432SZ5hqESf6uuRFiOKo8CuK2A2bkK4+M5HMekpzeBOx4R+wKERDcFVpvLEwQR1arH6kqT0pJPZUkZ1qby+6vlL8+qa9BNQa0YMtmK8Vqqk2b0qEPgxSxNdZNWo0Aye8Yl328oW45YmYlW17oDRbfpY9kC22rhBgEJy6LYaOD7EU5KCQxerC298xxSGievy3FgsJe0ZVNtuVRaLR4+F/PKEzlOTVQZyHv82tt9YiloujpeCEtl8xvWjrubJcWlQEqYW0uja5Iff8MuitACkFBrWTw/n0Ggc2yTK/s60nbMUMHkzNnuv9c0SO/hTaVrgptuGKSQTpOybWKptHOitibBVk5PFEoqywG5fjVH9mcyhCp6xg0CWoFPw/Opuy4110XT1SV4zZilKY+BCUtlnDZ9p53U6Bu1OptLyxYIFOn56zOzVJsurUbI6lxAoxLRrCpdp29FpBOC0T6NIFTlnq+fC3nVNRaFrCCfFvz0mx2QKgtSa0r8UGJciT3oeyCIwDLgNddZe5Ltg1BlgXSdHflKtiUY7dO/E/C0sbfSsg49IwZjSZvlGZe1eR8Zg5PeqHcrtV0dvyWpLEGrGlNbUd00QmyQ+LYSP1tVJc+/+W99PyKWMT3DynZASijNR9TXtr+48SaCZyKjc2J8guvGrsbQDGIZs9pY4+mlZ/iDh03esNrilde26B8KMQ2JmZb74u/sha3mnnEEcbgRVACkCzGB2yY2b+r8MizF/QFBqlct8hJ2HdhxDI2GYHVJZ2ggppDdm3Dt1QUrUwZyTeD4UEInVVDXK4FiUeO/vU/nnoe2k5YNW60evh+RSilDz1KpRRTFaJpgeCRLMmkSRTHlcota1aPR9Lu0egA8L6LZDNrPMMROaRSTTcy2zYfX7qhy3RDPjfBd1RXVKCnDTNMWmI76IwT4XsjiQo3RsVyH/5NImDQbPqItfdBqBUxeKFFaCGiUlUilsiyBytL+Jv90TmfwgE0cqrbg6lrYCWZrpXBXblkUSNbmL06E911JLCV1z6XUbHJhdRU7qTFxVQLfjamshJSWgosSmNM5g1MTwwzlVFZrKJ9DSslCpcIH7jd4xUoPNx9ZYiDvYmgx2ZR6Pv25b4K21valV1s6C0WL8T53VwPTdUSxxkIpyUR/o608ven+SVgsW/zeh3QefLS27bNCE3u2Yo4Xejk2OMBytcbTc/PUPXdPf7bAVYFrs6b+fXZ5mQurq8C6L1xM4Ktx3qhFNMpR5/CV1ZBGJWLokE06r3fKoALoG1FcNU0IFWxJCKKIxeU6K7N+h6wO6nJeSHv+lYqJAY3f/HtpRgoacQzPzYT8+/c1+NfvrfOLb09wZFjHsRWXxTRoKxV/8wQ7ng8NV3ZUoy8GKaEvJ0jsUMKstyR//jmXh05/E7zz3yBctHfFtg1GxjIMj2Z4/qkiK3MemR0iSSuhnNBbNVTaP5I7JWY60E0wLQ3D0JASqlWXpcUaQRC1VXxN0hkbGTVolONdOT2aLkimDZKOgyY0YhkTxiFuqNLWxUjng2dTfO68zc2DTV57XcDBw8Elt6huzeAErkBGoNtgmLJ9Lts/1wmAhPqMbkk0DVK9MWHQbk/f1D0YRxCFiiv19ScMHj6nsVKBR85F1IXO994s+NnvEaQSO09mbk0w+4SFVxckkpLCsZB828F9rajxha8K/teHY54429pxUfWaMTLWqdc88nmHRMLi4KFe1tYaVKseIKnVPFZW6rSaIbu1efl+yFoxIgqgVVOdQ1J6NGqKkB54klZNiVWGvvJi26wyHLiSpXMBybxObkDDsASNhs/sTIWh4Qy5nHKCtqwNl/Rm06WyHO47uNkJub42gd4QjBxxcFI+K7M+ccSOujyXCielxvtsscxqvaZ0WKCj4DswbmEnBHNnd+6Ag7Y+TFbH3qJOJgQMZDO0/IAPPxjy/vsc7jiR4M3XexwZbrxk3j8vCiRIBA8+l+TLXxdIDR56zqPmww/dofGu12qkE7tvUnQ95vhoufsrJaxVTe59wuSP/ibkydM1oh3mkXX9nM28nc0oNRp89fwFaq5LrRhiWqLrd6WEtQUfO6lczJu1qBNwzJxuke012u+/pFWP8FuqBLlbjBUGkrkzLsmszshhuyNkKITg2rFRkrbFY1PTHc+3lVl/Tzf3byX05TR6M2oT5AVqjZESzs5FvPs9dcb7lU/Wa643Gchd4W3Z7Z6f56YjnpsJWavGPHkhZKUS88Ovdvju22zsi1AgVHv9xkVKqQKdrz0X8JH7PM7OR3vF8t92uGjA02oFnD9ToqfgkCkYCGv3F0szBKm8TqO8XexON9UgVbL4kkRGcYCCIGJtrUm51OzsmjRNKK+lpEMUShbP+bs63FoJQUzEE+fOMLe6AoAXekQyRNNVJqFccfHckAeflTw4l+U/vatKoe/SJojQEzTWNLLDEZqmMjZBS1Ce1UnkYpK9Mbst/lEItWWddCHuLDqtqqZ8x6oayZ4YocPKGYPSjM7T85KH1iKmawaPng5p1D3cZkT/cJL3122SwuNnvj/aMcCSsaD3QEimPyYWsLCqcd9XTL76FHz+KwHnZsI9yyZRoJ5RreaxvNxgYDCN4xj096epVT2mpspIKbu0ebaiVVUBTKpHo1mJOtm40nxIZUl0iOV7RcS6Jcj0agQ+rE5H9Izo2ElBs+kzNVlifDzfMaGNopgwiKmU3S5tnMtFqxERR4rX0TusrCmWZ3bR9dgLm7qEQJUlkhkdKSWLlcq2X+/LpBntyfNkvMCi4XWpKm+GRAU3z8wvUEinEO2aTt3zaHg+fhgSRGp8f/BBeOxCgt/7WYOUc+UxF1uewVNTBR47F3J2qsXcisZDT9ZxvRDPjekbcPgL18IPHf7h99TQ99ALkrEgiASLJYMnpiy+/GjIlx/2mZprEV4kY7YepOwUFFZbG3wn3RDbFLUblZCVWR/DFAQjkuLixo66VYtp1fanYK3pynbE99T70ahEzJ/3GD/htDM9ktV6nVbRxwvVswzbmaJvWggwdEXy3g8eOxvyy39YI5sULJVimp7Ebe8N/ADOzUecW2jx6NmAf/8zafQrNOBpeZJ7Hg84PRNyfjFiYU1dSxSpIOavv+hiGvC22/fu+AQ1X5cbkq+fD3j8bMgT50OWSvEL6vr8VsVFA55GOaY832K5xyM3oO+pZ5LKayQykmRew2vEnR18qkcnP6TMLNdLW4YliKKYqcnSti6gnp4EE30jDGYGWVj46o4R6jpJOo7VpLIsaywvq3T1jUcyfN8NPiCZXJWcWZRMr4IvHDzN4vyUSU/PzgHDbjAdiZWSNIsaqYIqQ9kpiXUgJI7EnhsJ3YDsUNTFzXEyMX5DkBmQrMxpnHvExHTbnBcv5sEnAi6sebzujkOs1Ws8dWGNQi7Lu15zijfd9AD1VY3sYPeIDgLBakXj9KLgsc8L7n9GsuRBM4qorkSUFsKLLtpxpBzre0Z0isUmmYxFMmkRBFGHa7P1OdDm4XSu14LWmiT0I2qrm85Rdpcid4NmCPoPGCqYjWBtNmTlQkjfAQMnrcbN7FyFbMYGoSxQgiCmXoxoVXf+flWquzikhOVpVR5IpBVvomfQVMHzpoVFEYU3slOgSo/rWSonqdE3ZqHpauGyHG1PmwDL0LlmdBTHNDlvF/felUlYnvEIQ0m1oDKZJ0ZSvPWUIrB7gc7ZJZ3ZtZhiPWaxHPL1yQy3Hy9fGQKDEtZqFs/MpDm/OMRiKcHsWoX7vlpndbXG6181wHLZ58xUlVw6wffdMcTbbpun6Zpkklv4U7FguWzy9KTOfV+Hx09HzBUjWkGDtcWLlwbX0axFNCrhnlwe2C7uCNCqt8tLnmTxwu6Zub0ghOroSvcYFBcCVtv0gUYlYu6sR9+oieVozJfKgBqnbjNibT64LJHWKwWvuMrkdTdY/Oe/buy6qd0MKWFuJWYOuOaQwVtvU8rX08sx82sR08sxS6WYc3MR5+cjjo1dOcTthitpupL+vMbUUszDzwd8/XxIrSV5080W08sRz01HjPbp/NoPJRnqVTylrSKJUkK5LrmwGPH0ZMjTkyGTSxHluvxONuciuGjAE7Un9PpqhGkL8gMGpqWrUlQs27wbSRRJNF2i6aJtNaGTzGvUViJ6hvVOcKGtLzxCoOuis1isQwhBKmkxlBmk6tZYnm8pop4u0DYFTOsZBr8ZE7haR+Aun9L5B2/wuON6ZeQppZoUG03BStHjwqpktmTSfzpi4uT+SlvrO79kPu60vMtYdYlpBpSmdHrGInRz99HW0cGRKltk2BLdhDNftnj8tMCQMJ5Vv3M4p/Ef3pRiuRmTtFapRxrvaVrUwjKr82fI3xVva4eXEj53r8Fv/lnIwkqE78dEgVTaIAeM/ad2JdSL6lln+qBcctF1jYWF6kawI1SAZ9k6mfQ6x2fj2i1HkB/SWTwTbHu++4Gm0RG51HQojBlUVyIqSxFxrPR9wiCiWFSaKnGsFJzd+s4Ed6EL+sb3pzwopQpipIRmLaa8ohbB3i0ibrL9jziSnZ2U78UsTaoW4/5xi0yPOmY6d/FjO6aJY5pUXZfJyepFdaha9ZhGOSRbMMg4Oj/zWo9XHG90CLxRLGh4OotlndNzOmcXLHrTeU6Mlr7xaX4JYaxhaIr8vVRO8r8/PYTr6/TlbEAwVsjzQ2/JUK67OJaOk6lTbcSEUchKqcxYn4thxNu+9+8eyvDv/qTJ3EIL39/5+e/rFGNYuOBx8JSGaV1avbswYpLIaKzM+rRql7+tNiwNXRf0jVrYSY2F854qtxVDGuUQwxJkeo2OLtDaQrDNbHYzrnjhQQGvuc5kainikrRmBeRSgp95s8M1hzbeLSnBC2C5HPP8bMj8WsyREf2yFLZfdEj48pMBjiW4K69xYlznN388xfxazLPTIU+cC5lejkk5glpTcno25NioveO7+tjZkP/3Q02K1ZgXItL+7YiLzsTZPpNmRXVhmbZgZDRHOm11dHVU80GsVJWLTbI5h6htJmk5gt4xY1tKzjB0+vtTJFOW4oK0AgxDJ522ME2dVNrizOpZltaq1Mp+hxMUrS8CQpUHdFMFIomsxlhfglt74AdfH3Dqmg3XciHA0CW5jCSXiTl6IOzMiTvN+1vJyAClGR07LUn1xhtZGkPi1TQSuRgrKRE7dY/s8N1uVaM4paMZoJuS2rLOocyW3wMcAyay6k3tI+a3XmFRjODW1y+T7FEll/VzlMD8tMF7Pyu5MOV3TYJRoDRzekcN6mtiV/2krSew7rJerrRotnw8dyPnLFDcrr7+FCvL9S5rBCEEyaRJsxlgJi7Trd2XrE2H5IZ0LEeg6SqIqq1GrE3HpAvtjGH7AXp1uXuw07YZsS7mZN75fUFh1GThnIeUYCd2/pxo/0M3BOtDxbR0xk84zJ3xOoR9oYl9cWciKSk3m5xeWKJSvHgJxLQFBw/muP5wnp+4a5VrJppdypa6LskmQ7LJkOMjHsj6phP/xmOpnCTtBKScgK+eHsI2e0g5knCT5YWh6/TlUoBE1zV6b01RSIf88J2T24MdYKls8yef8Lgwub3N/HIQBXJboBlFstNuvhs0Tck02AmNC0+29t1ptxlSKld2pcZskMzoGOvSG6ig3ncVMb7U1oTaazefzOj0j+9DA+PlhIT//ckWdVfuO1DNpwVvudXmDTdZjPV3v5tCgGMpYvPEwBV27QLecsvGOa3PCWP9GmP9FgcGdO5/OmB8QONH73I4dXDnTWq1IfnrL7qslL8T6VwOLhrwOEmN/nGbxfMqVWua2kbngBDoOgihEYYR6bRNoZCiUmm1f6aE57aWQWzHoKdtNzE2liOOZUfkbh11r8XaWp10QQPNIPLVzltoyqg0kdHQNp19M5RMeQZfec5grWlyaEDQl/dI5cOOWOI69pq+hAC2ZEGzQzHRFqK7pimLCInSzdkXhOLz9ExENEsaFx60iEOIhEnNHkSTEYnWAh89E3LnhMHIBh8XQ8AXpgOOLugkBDhp2em8qqxp/NZ7BHc/3GpfQPf5tKoxrYxSiA32ObNYybamSCy7gh1Qh8jmnA2S+SbousbYeJ7iWpNmpYpbi/fche4Gtx7jnVfdWpoh8FsbpObaaoRpCTU2gGZ1l529gOyATrZPo3+fbukClH5OKFiYvHStGtPSGD/hEIaSZl05XvePWRcNehqex1fPXyCOJem8ga5H+F67kzFWJeB0TnUv1kqKn2Y4UG1JvvRMgvmiwYlRyUDOJWUH2wf5y8llEDDaW0cCj5wd5Pn5PLYVYWiSpmcQxTEPPz3HiYN95DMJolg5k59fWWF6KeSdr9p+8pWGwb/5U5sHHyl2slovFKajYbYz0BJlF7G2EDB2zNmXXYhhaaRyOpV96IjthMCTLE/7rM2rzsPdNgsX42Yk0hqjx+xt7fJXIkq1S3twdVdybj4knRAcrepcNWHgXGGxza7Y9DhKNckff6rFXdebnBw3+NgDygrowkLEn3y6xW//Qmbbx70Afu8jTR4/d+Vx8b5ZsGfAYxhKdM5KaQwcVoaT9bqP45jdMux+hO9HWJYOSDIZm0OHezFNnSiKaTYDSqVmp6vHtjZ25+uB0VboumB8It+xCWg1A8plF10XpNIWqZRFreZRq3pIKanWfZ6PJI3FHA+UbG4fvZ6j/vMc7J1k8GRIMh93OqQuhq1nY1gSo/1S+S31Uysh0U1JY1Uj1Rfvaz0RqAxPdiiiVRGdICrQkyymTzFafRxNQKkW8bGz8A+uVZ4UZ6sxw0mhWm9nBVfdHHQUm5t1jT/4gMn9ZwJefdsw+UyKT957Hq+5KRCRUFqI9iQab8VeJRXLMjBNrdNhtO06hbIlSWQ0TEfgNy9vNZLxuhHtls9L5ctl2AI7Jcj2K85Y6HX/npPWyPbpJJMWhb7kvo+raap026gZ++KACAGGpmObBpZhUHc9wjjCsnewI1lvK968agnIJ5LUPQ9NSA4fyyjSasvHDyKiUKryYdJSlgRNZfnRCDxOLyxzehEGs1luPjDOcG+T1103y0ihThhpmHr8sneqhJGG3g5uHjk7QBRraDGcmljl6akCUazRbAY8+uw8r7vtMJoQnF9eoZBOs7LWoFgTjPVvfF/T1fmdD1nc81CNG67tJ591+PIDs6qk9UKw6VHXyyH1sgqs97p/rYbiZ9mWThTHZHqMyw541qHI6pf3zggBAxP2JZflrgjsI3ANQ3jodMhDp0OGejV+9xczylJhHZKXfbzvB34geX425IFnAo6N6nz9vJK/eMttFhcWIuqtmEJ2Y+cdhPAXn2/x0OmAO642GchrfPwB7zvE5EvEngHP+oIWx3HHN2lttUE2a3eZNjqOwehorvP/ui5ItEsBhqFh20ZHdbdcdqk3fMIg6hIc3PHkDI2BbB8DqT7mqgs88ewUMpb096exLJ1czqHVCogiieMYGIaSh885SpMkra9hZ2LKczp/9ZkEdeFz/XHJK05FpDOXN1KkhPqKRn5UkZBThf0FO+vIDUfU1zTWJjfunx1WOVL8EkasSiE/faONFysr+yfXIv7sMY9//7okYwmwhSQKVVt/6As+fX+SR2oWd77S4k1jB6j4kru/OtMd8KAyNYYpMCyNwG23ge+QExcaIMSe0vS2rVMqtrYFUFGgSilSKosQ1U30Im2/tyAOJSuTAblBg0yfRs+wzup02JVNshzV3p/vSaDrl7YACA1Gjtj4m0uAAixdxzZMTEMnbdsYuk4ukSCfTGAZBgKBH4U0fZ8nZ+YQQpXGwkCpix8d6CebSLBar1NzXcrNJgLB1aMjFOt16p7HqdERABYrVR6bnMEwJY5lcNXIMFNra5REEyFgtKeHKI4xdZ3x3l4kGqcOFBnubdD0TP7k80OEYZmrx0JefY1H0nl5ZkdDU8ddKKaoNtXOIQg1Hj3Xj5Sq5PfqWw8SRhEgmFup8OAj8/zgG68iDhoY+gaPLgg13ntPD/edrXPrbYPcdmSAuhvx8BOL+P72UqCmKemKOATJ3qTOKFIlrXUhwkze2HX9lECtGLI0qUw9zV4NCXvq83wjIDQ6WapvJrzpFovbTpp89H6Ppy5cPGAUAt56m0UmKTa666TqbnIDODGmc+MxE/sKozHFMVQakj/5dItCVqMvpywg1sflWJ/OUI9GOqF1gjcp4bMP+3z4yx5XTxj8xjuTrFYkX3jMp77LZnJ9Yx/vsF/8dsaeAc9Vh8Y4N7uA728MwCiWVCsuff07WwTsBl0XDA5lqNd9Kis+U7LCxKFcl6noThhI9TOSHcYPQhqVc9SKAW5jjdEDGXK5BMnk9nxmK3A5U5zkaK/L+A0BrarG5JcMJusgIsENhyG9PWO4L9hJSVOD4pSBlNB/ZP+7uShUOjmp3ljZTLQhkJjxBg/B0tUfANsQfNdBE1OALyWLNYPVCwapfMzjT1n86QOS+dUa51248EyTmqcUsmlzjaQE0xIcHLf4gdfoXHsyjR6HzM83+fA9EV95Mui8EEKDvnGTZNZAip1TPNmsgxCCZqu7xhcGELoSw5K4rYDiWhOvIZVS9uVCqDbdON4QsNwMGUNlKURKXTmw9+lUVzYkEVR2SFx0jG3GaE+epWqVsC206CQ3xnjWcbjxwAS2YbYtUXYe/7ZhYhsmRwb6+frsLF5DddoMHbKp53wO9vcxkM0Sy5gLK6ucXV5manWVmuuRsMy27YQgZVuUFgKq5YDCUMQT0SzXjI9w1fAwkYzJOolt7+Bq1UEISRwLnl9oUa5GBJ7OrccFSWfft2EbglDNoOYOXJqLon2KxZqDlBvnu/m/173bgihkrVHj1JEBBvMBiysxj5zPMNoXkUv6PHw2xycfaVGvhjyzusrk2TotL6RW9bcdcmLE4gffYHD1IRMZw1o14kNfiHl4i2N6tmCQSKvjr5PlN9GhtmUeYilZmwsoLiq+XByrv5NSiVO+rLgIt2cnHBjSmVmOXr5sgYBTBw2+61qT5XK8r4BH12CoV2d+LUYTdPg8S+WYs3MRugYnxg3sfZQiX2qsc091HZ6eCvmvH2yyWIy57rBBT1rDD8G2oDejoQm4sBhxdi4kfcTEtuDMXMSff75FFMHp2ZB3v6dOvSWpt7Y8aAGDPRpvuMnihiMGuqa6177wqM+T+7in3w7YM+AZKwxxfm4BTdPaBojqz8pKgyCM6e9PXdJi0moG1Eohq9MhxfkG9UrIgWNZsll7Vwfgueo8fakCQoNU2mTueY/aqkdxIWDkYJKRA2myKZteM8TS1RubsgIcXJ6pmtw0a9AzHPHP3+XhZGKcxP7KWnsh3R/TqmgELrTKSkdnM6IQNGNjnmyVleaObkkSeYnfEITe/l7E43mN421bhBsGdE6dDFk5YzBbF5gR/PSwZC6t4eYjagTML1ocGkmwVrOUl1cYct2hgF/+YZ0DEyG6Uep8t2MbPPhUqJ4tYCU0xg6n6R9IMT9XpVrd4LBoukahN4ll66ytNbdlnw1TBSeJhEnLDfG8kOpKtJ2/cwkJn9yACmJkrHg61eVom2K3CnpUkGMnBZq20fkXeJIolF2k6ouhkE6zsINGDkDNdZlcXePk0BD7yZsnLAsNQWUtxGvFzJxu0aov0/ICRntzpB2bg30FelJJKs0Wpq6zWq/jBiGOaZIwLTJZk+VZj9mzLmsLPvXKNDecGOZQfwHHijo2EboWE8Uak0tZVioJChmX/987qyTtEMeKL8ohuhhM/dJWwzhWZr4d3RwJc2upXR69pNpySVgmC+UKpyaGGSl4vOP285wYMTl1wMf1DZ640M/Mapo7jwu0I2sYVHD9FpNzBkdHLFxfsrKmysDXHhP81s/AaH+AEBvBueNYPPL0RlCg6dA/bmE72ycFIQTZhIMbBHib3BerqyGrcz6aBmMnHFJZNY226ko1+YVA06F/zCKOoLwSEHiXFr3EMbiNGCehMZDN7uszR0d0pvch1qlpkE0KsknBYinGf7EEfCV84kGP20+auwZrQsBQr0a+3Y176oDBnadMwkgytRR3sjz/6HtV6drcX1PmNwTPzoSMFnTWqjHv/4LLclmd79cvtGVCJPzIaxy+706bpC148oLO0VG9Izp4eFjnP/xsmtmVmNnViGpD4vqSbDLqep8ODen8xBsS9GY2yrCnDqrg8DsBj8Kew+KT9zyClZIcOtKLLg2KpQaVWpMoiikVmzQbPsMjWVKpvVljUkpqNZ/p8xVK86rsEPmShXMu5ZWAwQmbodEU2ZyzLfCpeTUem3+cMI4YGk2zPOdSWgioFyPOVOr4lYDf/PE8V480GRvxsByJEKsIIJQCQ1NZh96hy5+I1luQ1xcN05GYjipNSbnhFbX+c7eqYVgSO62yEivnDErTOle/xUXXJdG6wvImxBK+PBuSMgU3D+o7LlBHhiQHbwg4fbeGjAW6gNEEjCZ0eg/AkTtdhO4SS/ACdW5CxthmjCaUuOHGM4GenMA0BV57UhUCKmUX0+o+vmnqjIxmMQwN34+26e6so6c3SX9/ioX5qrKIaHTzVBIZjXSvRmUpamdf9oAAK6m8yNAhU9CwU4LibLidEyShshxhJ7Wu+xqFslO+a7X2Nzt/5ovnyPYbjA1nyCeTrNTqNDzFE5MSptfWaPkBJ4cHSdk7p0yiOKLcbPHs/AKllYDSkjp2HCmNn+raClMjFfr6HQ4P9nGwr0BvKk0Ux9QmJzmztMSp0REsQ+fQeJ6VZZfKSkirHnPhuQZ+c47v/jmPk2NNChm/HfhI4nbGxDIidF1SyO5P8G5fuMSAqeUbrFQSHByoKrJ+LKi7G/NEFEcIofHc5DJuGNCTt6l7Hj2pJEeGGlx3aJXn53p4zbWLCCF58LlhTs/2UGtZ9GYCcsle7rq2yXCPTyxjJCqr5bYv2bGUjcxmSCnoyWqYpsBvE4LjSPmeFYbNrrlH0wQj+Tyr9XpXsANKEkBKSOUMUjkDgSplrcz627IkhilwUtq+lZATaZ3eIUVyzw8YLE35HfPa/aJeCskVDFaq2200dsIXHvM781shp9F0JU1ve0bV0OHQsE46ISg3JP5ldKPthjNzEb/+x7VdXb3zacGvvzNFf06QT2sYujpf0xCcGN+Yr66kQAdUAPrw6ZCemzX+9XvrNDxJwhbUmxtNGL1ZwWuus0i3aSPXH+m+CEOHIyM6R0Z0QNXopNxOXhdiuz2RlCpzpOsbmaZvZ+w5PBbPu/QfsEgnErzi4K1EccRieZnHzp9mcbmM54XMzlQo9CU7QY+uKy0JZSoZ0Wj4lFZdlmdcGuW4S3hOxtAsR0zWWizPeAyMOYxMpElnrK7Jp+GrFHQyaTJ+JEW9WFEmpJFketLjX/yvNXp6NV5xtcVrTwnuvM6nbzDCukyRtbjN81zv7ooDQaMoSBXiLuHFRFZSnNFpVVS9te+welsTuZhz99sMHAtJ98UYtiTVF+NWNZqhCoC2Zj68CD78pMdaLeY/vy3F6Cb3ZtHuCDv0Ch/DkuRHIkJPELQETjYmOxQzcCxEb0/wmgDD9hSnIII4EkSAhiQMBWtFwace0PnvHw7wNhE93UbM6rxPsx5i2mKju02o3W6j4bO62iQMdnhzhCCbtZVNSEWZdm6+xmROozBmILR2+WtJKVar89vhOUnVXZbYJPRmOYK+CZPV6WDHoMdrbunWkqqjaz5V3bfIZGklAA36j2c4MjDAscGI1Vqds8vLVFuuEiasVqm0mhRSabKJBHq7w1BKlalYqdRZXW1RWlaS/1sXK7cRM3fWZXXWZ3mwRelok1RCGYlWWy401Hgfzuc4MjjA3ESNWrFCHKl3Zn66xW/94QqZjM61VyV4zXUar722xUDOe1EMOy8XUaz0mTRNknKCrm6xINJJWGEnwadrOm4Q8PATCzSaPjfe1sexoX7uOuXyuuuncMyIMNLQhAQB1x1a5chwBS/Q6c81MXTZ0fXR2tesaxJTD4mlIIwEYag4ZX6osVQy+Jv7Lf7sb5udYGcdq7M+jUpEYdgkldPbkhuobNsOaYz1sZTM6Z04sF6OtnlXGZZg/ISDbgguPLmzlctWuA2lGm5aSg9o9KjD6pzfESLcD+oV5Utn7ZC12hHt0+rNCv7bP0zjBvDQcwEf/rLL2iYhTz+Ax868RJkCyZ4Gl6W65F+/t46hw9UHDF51jcltJ03Sif3JPrxcCCNVovqjT7Qo1dc1uzbuaSoh+Iffk9zWYn8xCKFKZOtYn2PW/x1L1cJ+z+M+H/yS+51gp42LKy1XIuoNFy90yTk5jgwcJOUk+NvSfbheQBhGLC3WCH1olmOEJjAt1YEUBjGtutLw2c0LC5TGTqMUMVlpsDTtUhix6BtKkMlaOI7R1QbfN5AkN9BgdSboCL+tLAesrMDklM/nnjC5/ckM33NtzOtubNE7cHlPurNISaWXkx3cfv5SgtkOZiIfokAoBeQhJUJYXdJwMjEDR0OK0zrlOdVKn+6LWZvXWW1q5HRJJAWWHvPrr05ythzTu2WicrIxEzcGpHpjWlWNsRsDhq4K8RoCJyM7HVvr57Q4o/PIOTizBBeWNdbWIoQQZPI6q2sRkwsxM7MubmN7gFBfi2kUVWCXLugkcxqBHzE9Veo4m29FqyZJpJXDeqXcora2pfQkIFPQOwFUukcjmdXawY9kdSrc1mEFqjU9CrvVvQ0LCuMGy+fDbeWtneolrWrMwll/mx3AXmjVI4r1Jof7JbqmM5jLkbJtvvjUGcI4xnY0vCDkyWeXqZcj7ISGZgiIJa1GvD/XcwleK2Zh0qO8ukiuTy22pq3KckvVKuVmk2ODg/T1JOgdbLLaNieNY1hYcFlYgPMXmtz/uMXHTqZ53bVZvu/2Kv25S2+nfzGgbw22Nt3ycsOi2tKpuk1StkMYxURxzKvvGKfZDLnhmINlOCSdBuv0qM3aOyknwDYj4lhgmVveaQnnFlM8dkYwuRjx3IWQtariGyWskHJDZ3o+YHm1uaMq8brvVaumsoS5PoNcn4mUO2cFEykdRIC13sIuobISbAtsc30GiZROZS0kiiTJjE7fqEmrHrMyt7NVSRQqa4r+Mast1QF9YxZRJCku7C9LGQWS6WdbiEv0VWi4kpVKzKmDBhP9Nr1ZwW//VfPKUO+Vyvkc4P6nAr7yTMDBQZ13vNLmtdebyjD0CsTkUkTaERwe1qk2N/hFCVtwx9Umb7nV5vjYzhn9i6HRkjwzHXFmNuTMfIS7aWyHIcyuRJS+o77chYsGPG49ZmqyTD79LFcNH6M30UsYRZSXQqrFkJ4RHSuhdre1YkT0AmTOZQzNSkSz2mLhvIud0MgUDDI9qj3YtlVrfDKnYa4Igs1lEalIqosXfB7RalwzmiSiu0tx85ntNb42qyLv5q8Thep886MRbk0gdNAM2REuzA7HZPojzIQkDlV2KPR1kj0xiWxMejDiL++2uPeCw2DPMEl/lj4nYCijdbJLnR3dpotw0hLBellt+70WAnqGYuSUydkFi2fONphZgWYzxG8pf6a9gs/1DFwUQHEupL4myA0aOJmd70PcJg4blkm16lJca9EobQ8y14Mdv6WEENO9Ok5aYOmC/LDO2pYOK4DQkxRnQ3pHDfRN3RamrZScSwvRvqwqgpbct/4QqEzRhakyhUyKA4UCepvDtjzjUysH9A6b5AfMth2B+vNC0KrHtOoemqZ4VJkeg2RWJ/Rd1ootDEsjN2BSWg62+WuFgWRxykPEktuOq9Lly4Y9XqqBXIt3vfoM/+czNqcXcpi6Q8YOueVoC1OX3HXdMrapY5vRrvYXhh5v08haP+5oocUTZ02mF2KePRsytxzi+UoDTMr9ZSWkVBkWt+FTWgqUCGCfibmF+Oq2M4luMyadVzYjjR2cyRuViJU5n/KS2pxZjiCZ1UlkdKrFcFcPrOKCssQYGLcxTJU16x00KS8HF1XgXkcc027R2T9cD/7goy1+5i0ONx0zKdWu3MVSxjC/FnFhIeK7rr3CWrE24ciIzuFhncVSzJtvsTk0FHJoSKfSkLz9lTa51OUHaqYh8APJYilmbjVmqRjhBnynK2sPiJ127OtIHFYzj2ELRo7ZHDlW4NXHbuf82hQf/8TXKS8FaIYg26+TLmgELUl5MdpeWnhBZ6jUbONIRR6mBYmchluT3RyRTbjmqMXv/6JJNRLMr2gM90gMJ6ZZ1qiEBkITXDXuc+oqb8/IOvQEC88aDJ0MO8HFet1UCFibNCgcDIkCgdcQpHpiQl+gtVWYi9M6qUJMbVlj7LqA0qxOY02jcDDCTCpriaknDHRTksxJsoWY0qzO9CMWQpOK2CxUCj0/EnHsNXuf71ZEUqPZhPOLCZ66AF8/Z/L46YAz5xuUiuH+dHna3V7pXp3c0HaZ9iiExTMBvaM6iaxGsxKzOr3dsyvVq6PrUC+psqZhC3qGdayEynq1qjHlhUhlRrZ81kpqHfPQzWhV422t6HuhdT6+6N1Ln1SS2boBQwcdjh3u5cYD45TqTT7wiWdo1tSKYydUJqC8Gr6wTrTd0K79CKFsNuyERqse7brgXX3c5vd+LUGlCdXmDulxAaO9cMPBOuJl9NNSbs4GYSRI2BGOGSOloNSwyac8vEDHMaPLPkcZC2otwfSyztMXdL5+VvLIsxHPTwXUGxf3ktuKnkGT4UN219+tzPqszPr0DpkMTFgsTnqUl/fXSm21xQ2btd2f5ToSaY3BA7Yq60ooLvosz+y/tAVQfy666Jg/8oZU112xTfg3P5nm/Xe7++qYerkwMajxW38vzWolZno5Yrx/+/xUyGpM9L+8rulSqtJWGEksQ3SVol6s7/cCWCopL7EzsyFPTkacXwg7xqrfTjj3+cauT3tfAQ+A6QiOXJfmza+4jcnVWT7/ybMbO1sBTkqjd9xA02BlMtw1GEEo+f69sgwvFMmsxsHjNm6kdijptIUfRBhIRnMW1w/YXJcOeP33NEjmd589JOBWNEJfdWYJwK0LdENlWFpVDSsh0YwNgbn1gKixpmEmJMtnDPKjEboBpVmdwoEIO922qNC6M1CgBu/sEybzT6lWWqEpk9LhUwG9ByJMe3/3LW5/dvN3x1LQdA2eeFrnF3/XZ2py77dBMwQ9I6pLSjPoONxvvUelOUVkdjKC0sIlZPmE0kjJ9mlkB3SiUNlKuLW4o54c+rJt9SHI9GmkCxslLimhNB9RL0ZouiCR0bASAreujGu3Lm6XEvCAWqCOX5flzbecZLVW4yOfep5WfdMq1W6bvxz7jBcbhik4ciqFmRSdrjuB4srkkibHh21edw289tpVlSm5kiAhijXCSPDo+QFWqw5jhTpHhytkEv6WF4TdF6/1x7Dp51JC09N55IzDL/3nJotLFydyZwsGuqnMiXsGTVXC2gS3qTru4khlbVpbS8MvIjQdcn0myayOk9KYfrbV1bllJVQApcq/20/icgIegMMjOlNL0RXN/RBClYZcX3Fj1m1/bFMw0KNxwxGDt95qcWhI/6YQI7ws7PI+BCGcmQv5N3/WoNp4+eenbyT2Cnj2zWkPPEml6PP88lkq1Rbx5jdcqtLXymRAMqtdlJwnxEubdfNcSbUVYZiCnrTBtcMax1KCEzlJfzrCMRqk+2Ls7e9593miCMib4VY0GkWNwsGQVkXQKguyQzGGpYKrTjkshrULBj1jEYat3NGdjOwYjEqgUdTQLUmzpJEfiRDtzoPBEyG54ZigBc2SRm1ZZ+2Cwco5Q513Wvl3PT1rk++NmBgMSSQUgdP1BE+c1/nsV2AoFXPLNYKxQWUrUXPhgWfg7odD1ooX37kZFgxPpMhkLRbmN8xDNV0j4Rg0Gj4C5VW1MhlQL23PzuwJqUpolZUYw1alSt0Q2Emd7IDeJiJLamsRXkOVwhCqXR3a5bsRnVRew0nq5HqU2V6l7LE67dMovbCFXUoolzyWKhXmi1UCb7t55ZUQ7IAqbZXWfPoci4StcXzY5PiwzokRuHrcpS9TxzKiy5r4w0hDF/KlywwJ0PUYXYc7TiwwvZLhkbMDVJs2E/1VxvvrGFpMqe7w2IUe+rMtJvqbmHqMZUbUWzqPXbD48uMh/RmDW05KCrmYTDKgWDd55KzOJ74sKVf2MeZNweBBe1sZazOcpMq8zJ1xadVfvHtiWALLFvieJApkpwO0vBLgtWIKwyaFEYt6W+sn02uQKxhousoYzT7vXpaP1044P38FRzptSAnNtjBoOik4NKTzyqtNbjxmMNSj4VhXNqF5P5ASHnk+JOmotnOrPS49X/L0ZMjXToeM92scHzMY7FEb0lpT8vRUyJef9Gnsxzvx2wj7b+KT0KyGLK/WqFW8bd5SoLgSldZFXhTJvngXLwTr3Syvv8rg518fc3CiiaGp3ZLW7mS63BchVYgxE7JT6skOq+xNHKkSV++BEN2AZK+kUVQ8GyejjrnVTV03Ja2KxuKzJnZKZYkSPcq3KzOglJwLByOkVK7I579is/isobQ6joWkrJh7H0+y2NSZX60TyZiaK3nufMjyTEAcShxHI5cV9AyY1BoRxWKAW4v35WKuG4J0xsI09C46gKYJxKYuOt1QjubLF7YTiYUmOvyb9Ul8m4BgJCnNq26mVFtzqK29h5MW2CmjzT2CTM7EclTAE/gRUSwp9FltjSA1nDNplygs4zWDHcnQl4JGNeSpuXm8VvSyq+heDIYpuOWIyc+/PuTwUB1Tf+H6O0CnG+pFg4Qg0nYWMRQwMVBjvF+1VM+tpZlaznBkqELCDhnM+Tx6vof3fSnFfLlK0vKYnJacPad0vaRUSuCJhEYyKQklVMpNxbvZB4S2vbW369SlIu4ns4pg7u+yoKzf9/1yYHoGTfpGTQxTI44kXituZ44U2dlJbRBbewZNdCHoTacYyeeJ4pgzS8t44zELF7xvKw6HEPDq60x+8o0JBnu0K64t/YVCAAN5jS896fPBez2qzbbAZStmbqXtli5U63rKVhQIPwDXv3L5Vy8UpgFRfHFPuZ1wScNDAivLdRql+KXhLbxI0DR4zQmNf/WjIY89meDJaY2CKTkxGjJ82Ou0b+8HEoh80emE2kwWdtIbwZ3QwEpKJr9mqXb0/pjB4yF+c+eVQgBORuJkInJDUZeOj7FF1kgIKM/r2OmYiZti/JZg+KqAQ2nJNVd7nH3S4gtfN7h7Kma6GqHZkB/WaRRjvJZkaSVmre14fymTobJEiAj8CKRy/qb9dzU/InAlmq44JqYjKIwbFOc2Oq5MR9A7pjpVYqk4V3EM1eVoW8kzClTQoxsCpy0upmmCQiGF7RiEQUQyZWHbG11769o4W7WbMlmbnl6HRl9MaV7xNuzU5alNCk0Z4BYX908YfTkgBNxxtc2vv8Pnq8/nePy8RcqxuGqsxIGB6uUpJHe+fI+fSdWOruuXMLDExRWbO27SffXO3zlWyKkDa5wcL7JQtPnCkzaff8JipdxCtwR2UsNtxrhuhOtGlEoALx4HpVWPWJ3z8VyJru+c3dM0yA+a5ApKebS6GiI0QWV1bxFBIej4X+mGIJnRSWZ0LMNgvLeH3nSKIIwoN5t4YcjBvj6yCQet3Q3QCgJcP6C6Fr5gEv03DQS87kaLf/yOBI+fDXnkTMCBAZ1rDxkvOk/mZYNQXKW/N+BQaUi++lzAp77mMbfaDnZAzckhVF7iRMI3EpYJIwUd15esVWPCCJK24NCwzslxnS89GbB8GRn8fQc8miFI9+rEkRJ5e8l3EeuCHZf6MQ3GJ0x++fsEz1/Q+e8PGCQzDlf1CFp+gZk1n0O9Fxg4Gu5Lm0UA2j4mcyEgM6hc0BM51UkldBXUtKoadiruOl4UCBolQSKrgobNx9ip+6pnPCI7HKHp3dkpOyW5+naPw1cF/HBJ4+uTBveeFzw+azC31MJvxRTnI7z6pQ+O0JcU11rYCQPbMRgayrC0WMd1A1rVmLWZEITASamuKSct6JswqLbdzHuHLYZHM6SSFmEUs7RYo173qBd3Pl4cSlamQnpHdFI9aiK3LJ1EwsTM2ttsFITYLWWt0m+b77eTufQUhRCqtbhRCSkvv1iysi8NBods/vHbJc/NWfyPzzYwNI83XTvOcjlJb6bArceWuoKHFxPf6LKBrknG+lx+6i6X77/d4MHTDvc+A49NxizM+yxNeZddaowCSeBJ9C0E+SiUzJ/3du2sAtU9OHTQZmgoRW86RbHeIJHyiCJJtaiMk3dDZS0kP2DiJLsD84lCL8cGBzv/P5zPs07ciGXMar1OHMc0PU8Z015iK/o3MzIJwU+8wWF6KeZ3PtgkiCS3nTAZ7dPoz38TmqfuBQG5tOBNt1i8+jqLpyZDPvewxyNnwk67/rcSfux1Dj/wKocgksytxkwuRhwY1PnTz7T46P0e4WXG9JeU4Qk8SeDGXZOJYQsyfTpeI6ZZfpGyPu2uoEZpB2uCi0AzBEfGTaxQ8kefgfPzNQ70B7zjzpATJ5fRTYEg3hDV28937nO3oGkwdFXQtSP2W0KV2LaMSa8u8GoaVjLaVupaRxy3s0tt1219l6clhOIaJXIxwwfhja+GcwuS93zG4GNf8ncnkF8EUSDxvZjBIQfL1olj8Nuig1K2sx+RpFWV+C1J34SBnRL0jRuAYGQ0o9SzhYYeRwhN4NYlbm33F1RGkmKbP5Dq0Zibr6JpglzWYXAovasJqATcVoDbCvH9kNJaq2M5AZdXkZESlmd8okB2pU+FgHRep1mPt2sBvUw4PGqSsHX+/FM6rh+QcuDOq6e4esxF1+Surd4vGGJD+O9ikJINb6o9fkdK0REcvNixs8mQN90Y8vrrBOeXbP7sixZ/uRJQ8y9vRoxjcOvRtsBjrzZy3RD0jZrKkythctOBCdKOw1KlwkPnplia8i6aEY8CydwZl7HjDnZi49hL1Soj+Twpe3OnmNoNXlhZ5czSckcbSzm8X7ldVS82Bns0ko7g9z7SpOlK+nIaP/uWBH25b7FgZwscC245bnDTUYOZlZj/73Mt7n9quw7UNxK2Be+8y+FjX/GovAi8tqenQl5zfcxwr8aJcZ0T4zqff8TniXOXpjq+FfseGevu1OXF7uyOk9bIFDQyhReXCW+nxCWXIYSArK1RLkv+6wcNFiuS4ayB7wV85DGT4oqGYUTom7qqXgjiCAJPdO3b4i28UCEgmY+3BSvFGZ3SjI6dUhkevykozuhdDzP0BCvnDJafN/btvQUq8Do26vOb7wp41dHLf/llDKXFkOmpCrMzFWamS8TtPGoqrzF01KQwbmA6gihQpOL189d1gZNoy6AjadR96nUPoamSnekoR3ahqZKYk9ZwMprqjmkHPa2q4jDEUUyp1GRpsU6wk8ozUKu6TE6WmJ+vsLLSoLwYdfF3Lvcd8Vvbu1/0NrE10/Py582FgFTKoOHp/P5HTeq1kEJKQyD4+MMG5YaOZUZXRGeWF+hEF2mUi2KNubUUpbq95+9tha5Ljo24/Msf9HjVDS/AJRVYnVfKxr6rBCR9N6ZeUhnhTK9BOt8tFNc/ZtE7ZGFaGrGMCaKIWMYsVauUlgIqq+0gpM1Lg3Y3UUJTwU3777yW4uBs5orVWi4PXbjA+ZUVaq5L3N4BNn2fydU1gkCNz1Y9YnHS69og7rZB+lZAJqm6s95/t4vrS/rzirD7wXvdbxuirqbBgUGNX/3BJK889fJqEfkhfO254EXzV3vouZB//kd1/stfN/nswz4LazEPPPvCg7pLeyV2OFizGmNY4DUusUPnIsepLG20vG89tuko6fethNRTxxL809ttxsZjCv0RqYLEzsZIKcnkmtjWi/siqMVadgU49RWdzEDUyQrtVJ6KIzg/rzOUVKKEuinRTKgt6WQHY/WdAqyEZPjqgKmHLM59RefwK31Mu7sFczdIIGFJjg1rHduDy0GjGOHWYjJ9Edn+7gXeTmhkciaa7rMyGeC3JHEIuqm8hVqtAMvS8byQxaU6MpbYScHgUbNzkmEgMS2NQn+SKIxZWWyyfCEkDiW1tRhnUyt8qdSkVvdIJk2SSYtczsEwNDwvZH6mRnE+QOiqtNAlftjWP3mxEPpKyfbF6ojZD7qEKDfhxPFefu4deW46Wqcn7ZNLKm+pumvQl21hmy9/oAPKTPThs0leeXLvspqhx4zvVnrbqyW9/XPbkBwcNVQn6GU+Ht+VLE/7bYNQxQ3SdEE6bzB6zEFKyfwZr12mUoryG7IUksemp0lYFpVmi3SvQSKr47di7ITWcVRPZnSyPQaxRFlHzKl2+VYtolmLSec23rWG6/Ps3AJnjWWyCYf+TIZKs0Wp6LFwXtmdRKHcxjHLFq5cQb4XgtE+jX/xrhT5tCCbUg7jXvtddCyB8fLvQxQkPDsdcXLi8pSU94uErTrU7n/q5Su7yxiem35xuWOrlZgvPOZz9+M+CVvQehE6Yl/wHiAOJOWFF58kF0fQN2Ggt2vSxYWww0OJArCSipEebormW7rO3zZs9KcjDmd0vvfqJte/2n3JJBh2CjpywxGBKxDa7lkkKeFrSxpvPBV24jjDlEzc7CMENCoasYBMtp1NKcRYSdEpfTWKGpOzJidO+Vg7lMOkhDNPm7zvq4L3fdLbn8DgHogCuaPZp2UpU1G3VUI3QqJQCU/2juqgSRbmq9SqLs1m0JWZWbcLcd0ASxcMDWfo7U0ipcTzQ2UQGoLXiHHrksQm/o3vRiyd97FTTXqHLGxbp9UKWbzgqYwQbON/6abAfgGKpjtht+6cFwqltKxjmILi4gbRdbfSrhsG3P1MwN3PWCSsBD/5Gp9XXrVKLnVlEVelhHufMRjIGxwf2T4x15omCEkmEe4Y1Li+xpNTaW48XN81W/X8QoK//ILFX/9d+UVJ70upsjfZPjVew0BpcQkhyBSMTsBTXglJpPWOD5cXhB3DUaddnkpt8oRLZdUCeM3oKMu1GlFYprjod0rf5eWAVLa9UUEZztbLIem8QTARUWo0adYj5s+5exKhk9krZeV/cbFcjvl372sggKOjOj/9pgTjA1dmGever/ukE/aO5xdFSpDQ3sV7O47h+dmIw8M61i6xa7Em+eSDHh/60stjJ/ONwGb5gReKK3OUoAS9EhmNoyd7OHFNgZ4hszMRxpFEN8DeUmdfmGvxtccqPDvl8eSsywPTUC7qVCsavvuNI/OZzt4lM92AkxPw8Gyiy+xx/TNOOqZV1lR5TED/kZCRa4JOu2y6L2awEPHYgw4Li8Y2cTAh4NDxkDuPwXDuRdhdCEhkd1bvtSwD09Q6QUajHLEyGdKsxARBTKXibitDJRImBw72kM06JJMW2ayNEBCGMW4jImyvhzKG8mLYZacgNPXHrcd4Xkit5lErhbibSdlb3g3TFjiJKz+/rxswdszh1KkCV53oo29kl5lwExYXGjz06BLnL9RYWPS4/2lBqW6wXLHwgitnwdN1ydEhn48/5BDvUNZKOSHlhrVroOKYMUeGPB49n2Zm1dyxNHZk0OXOU62OHskLRTKjkx8w0XWx0UUlIO3YWM4GYT70JbPPu0w906K0pNLuEjrlsJ3kDHRNI2lb6EKjVY+7OGK1YkitnaEUKCHEKFSZIamqvKzO+nsGO7opSGau2On9BSEIYakYs1iMeW465AuP+bQ8ietfXqvySwaheEYff9DbcVxfbIxqmspmTS9HFHex+cinBNcdNpgYeGmzSN8qeMlXAU1Xbb2XWu6SEgxDI5my0DWddNZACL9TmrGSaies61Bdjdo6QcqxeBGX0xo8dsbkM2dsbjlg8vNvdRkavnIIfYO9MU9PKRHD7ED3W6rr0D++804X2toM4yGWJbnnKzbPlzUOjktecTJibCRG18C0JG98tc911+j82983+eA9ysDwcrFT98d62crzoi7fL7ce4zZisgM6+UFFdm5VYqIQEllBtepiWTpDwxk0TZmOSilZWqxRXQ26dJqClqQ0H1IYNzoZtZ6RDeFBoNMd5rYVRQNXqTOHviQKJakejVz+hfE6vhEQQmCYgtGeHnKJBBemSl0/t5MafSMm5ZWN1mO3GeM2FedEiApPfF3noQsZDg85/OO3tBjvb74cl7Ijskmd6kyWatMnn+5W+dY0yXjfHucqoDfjcb0T8IUn0vzJp2NOjvrcfhImBgN0TaLrkjfc6HPNf9D5zT9K8ol7my9oAYxCiZSy0x0oAWLwQkVg3rwASak80XzPJ5nVKS8r7k4cSRIZndFjDsYmA9solnx9Zo6G61Fqe21t/q6FC57yDUyr9vTxkw5RIDsmuEOHbJZnfJpVJeUQeHFXSSud1zGsb82AZzNWK5IPfcnly0/6XH/E4CffmCCfvnJW/sPDqtTk+pLEFoNTTds9u7OOTFKQtHUePRvy3HRIIatx6wmDvpwK6jUNrj9i8B9/Ls2f/F2LTz98adYj3254Sd8I3RL0HTQuq1UycBURr173iOKIZj3a4KEIyPaYHD1R4Oqbe3HS2y9DaIJ8VvADt0X88o80GXyRg5044gXpsgwZEddkPe5/1tq2W103LL3YXcsPRrztrS3uOir59L3wzn8j+a0/1HnmtAoyBDDUG/Fffk3wPXcaG18oVMCo7eUgLlQmZXPmZmu45HkRszNl6qVom5ChpguSWZWlKs6ErM2GlBdCViZDAk+ystJgba3J+kmVyy61mtcJWjajWYmpLm8QoreWEkU7A9U/YXHdbQWOXp9m4LDRIVUncxrJ5JXPZwgDSaMSMVMs0vA8/C016/4Ri+uvGubaGwpdnTxdv9Nn8PZbJL/5Q5W9A4iXAX1pm2snIr74lLVjlmc/sM2Yt9xU4x2viPjkV0x+4N0hv/4/dJ66YKj3SLTH/P8V8+Y7E90fvsRDeq2Y1qbMYeDGLE15tNxwg4i8BYm0Rq0YUlwMCNvdfY1KxMqM3/X+SClp+T6+Kzv+bJsRBZLF8x6+q46fTOtkejb2p5atMXrU4cj1SW66vY+j16UZO+7QP25hJzR6B81vWTeFrcimBD/4XQ6/8N1XVrADquT2I3fZfP385XcX6TrcetzgrustHn4+4Ff+Z50//NsW08sbQXcmKfiH35vkVddc+fPcy4mLZ3gEZPt1TEe5k7uNmNBvt49eJGMQBcrtej+qvlsRR5LVmRAhKvQNJfDdTS3GArI5R7mnGxrpvIFb2/DIMW3BW17t8K9+XHL8SIi2yzuweQHdLyTQKmusnDMQmmTixssjiq0i+VcfdXESgpuvFQz0btyjyopOMh9jbSJZ18oabiDIZmNEDKYtldihI7ntVQFXXaPxqXs1/t+/Cfnb++FH3mLyU2+KGR+MyWQkv/4TGl96TKNUi7ESGgOHlAN9cXa7COC6fUMyr3zESvMhraokaEmsxMbNikNJaSVSlg+y+/P5QR0rIWiWN3yxQBHNm9WYbJ/G2lqTet0jk7apVFyklFiOwK3T/X1SaT/ppiDdu/NCr2mC0dEs6bSNkzDxvBDfj0iZGqm0RSJxaROBndDIDxi4zZhmVbmyRzGXnKm8VCxOugReTLHWJPA3nosQkM87HOnvx9SLZHrLeHMbY17T4K5XZPjNn445daC5+5heP/9LXBeiSKBpdJVgLxWxrPN//7GPY8TceVLQn9/4rsWSQz7l41gb11ysObg+5NMBlhFjtLWqNE1y49EWf/grBh+7z+K/vd/lE1+O+bG32vzUW+HAYEBPOuI3fsLk/scNqjXVYTUwbqPpsDTp7egRZTmCVM4g8GLqZZW1LC8HJDOqXGBYArcRc+HJJsEOBMp8v8HgQZvZ591ti1u9FBKPW50MzTo0HQxD7Ph9bjNmcdJj9JjT4TJuhgBsS+e6iVGe0RdYs+tIoDBsbhPj/FaEEPCKq01+7q0JxvteAoPQy3xXNmNuNeY//WWTTFJw9QGDzCZ9pyAETdAlkhiGUHclKUeRrzvvsYDxAY13vyvFg88E/OlnWnzxCZ833mTx/a+y6ctpOBb89JsSPHEu/Lbzz9ovLhrwqG4h5XNEHqTU0VCul/VKRG0tInDjndNoO3RSXRQCUhmTVjPEb8bMn/GprIRdpFkpYW25RTZv4gcR/maPIwF33pTl9/+JRz6/s3eQ7wrKSzrPnrU4edhn8NDu2Z+tjSFeQ/DJexIc0mJO3LE/K1q3JjBsOmrNAH05iWHD9LTPQ087vO27Nq7BTMU8fUbnhqvDjQGvw+9+LMvZM1UKuuTX3qVx+GTUJlFCtifmne+AW27W+Wf/Df7gfR5/83mNd7zG4C23mXz0PvBjFZxl+rS22KEy5Nwa8OiGIN2nyoW6of4/9GLKixH9B40u2fzKcrTNKsSwBMm28JfX2l7ODFoxoIGUeG6I527c/1y7BLZNg0lCeTHCSgosZ4fJXxPYbWsJy9I5dKiXlqs0ebJZZ1f9nr3QM6gWjiiSxJHEdyW1Ukh1LXzRPbSyOYtGIyAKJcuzPuXVkHDTuJYSlpeafO38BZqej9fsXrFfeXOWP/jVgL7MzqXQMNJYqSR4bqaXE2NFRgqNfZ9bEGp84P4+7jzZ4uBgbV+fcX0DU4+6FJh7MzFCl8wtBHztWYe33bFxfQkr5LHzNq840eqML03E/PZHU0xOwUg+5td/THBo0OtcXyYZ8vfeGHLbVSa/8vuSP/zrJh/+vMnbX2vx3a80+Oh9Ej9UZM5Mj6F4gEBldWc14r5Ri2zBYHnaB9TPq8WQXH9IOqeIy4mMRnMHnyndgMKIRRRK3Mb2n4dtTavElhYiy9YYO+6wcMHD3UEvq15W2aHBA/aOQWwYx7h+QBhvcH7WbV+u9KBH014Y5+bGYwa/8c7ktlLRZsTx3lYhuyGK4b4nA247aez5/RdDT1ptFFbKMc9Mhdx+1cbGK5YwuRhxdHSDfxNEkv/81w0aruTwsM5PvDFB76amDctQVhonx3X+64ea/M19Hnc/7vOqayzuusHk/qcCvCvE3+9KxJ4BT++4gWmLrl29aAckmYxNPCJZXqyjCwMNjVYjorjk4TYuXTBwHcNjGd76huv50Me+RrXoIyNJvah29x1ItUtzW0U0A+rF7gmmEYZ85RGL8VzMqRt8dFNxOqoljYefNXloKsl83aQaa/xiukLvSES5qhF4guGxsLNetKoajTWNvnZAFMfw2ftNLkxKbro9It138YuMQijNGAye7M4E9eRiJoZ0VisaH7sv5C2v3Ij0UymJZUgWljRGhtQx0pmYg70+f3U2ojgX8PS0yb/9GZ1X3RFjtju1hICj4zH/4zcMfvW/WXz2Kx7//S8i3vPhkFZzo+y0+fUVmthZ1TqGIJQU56KO4JrXiPEasmP9sFuKNplXAVUcg1vb5MMkN+7JbhCa4ug4GUFtJe4KxuJQ0izFWMPbybhKdXnjynRDI522gIsTf7dC0yDXv2FhoetKwdawVOdL34hFqx6hSR23EVEu+Xity3fMHhxM8NbXHuPjn3+etVUXJDsK1a3M+nhuGdMS1MvdY74VSL7yXJaxXo2bjqyCUM+n2jR44HSSR88nsPURokjH0GMKWZeGa1J3TSb6ap1n5Po6DdekkFWBgpSCTz6U5IlzSd5w3f6UmqUULFcSjBXqXTuGwXzExLjF0rzHR74Ib75NdLI2uWSIbZjMr5mM9ql3JZ/yOTRg85l7XR5cCnjqTIJ/8/NJ7rqh1fkcAo6PB7zn3Rq/8T8sPnO/zx9/MODPP67jeVFnQV3XUpKx3DGbAlBcDCgtBcrDav1aYlibD0hlDeJY7koUTucNrIRGaSnYcXxLIN5l3CfSOmPHHRYnPVU63nKI0nJArs8gkd4+7h3DJGXbDGQyVFqt7u7Ey1npv0GwLXjbbTYfe2DnbNt+sFaRPDMVcWhIpzfbnTl54lzIl5/ysU3BO+9y6M0oknkQQhht59NsxYPPBKxVYxLWCwsa0wlBT0ZQa0o+94jPrSfMTgBmm8pCoVSTnfNP2IKT4wbv+4LLczMRp2cifvHtCa4+YHQFbgM9Gr/xzhS//dcNHj8b8vEHPP7uIY/wyqGpXpHY842IfEngbtd3KBc9Tj9e5sLpKlEI/UMJDh7Pcs0tBW55bT/Dx2wSWe2SuTt2Uud1r76KZtAkJsJ0hBKjM4RKBW/6uiiQqswhNPKDxkZAJOG5Cy4feDRm+HCI0CUrizof+rsE/+w9Nr9zj81jJZuitPCk4C+eyvDvPlDgv3y8l0pN7xwi8ASLzxpk+jcufm7a5O5nHW4bgdFrgn2pNQuhjD6DQPDwU0ZnPkokYGJQEAeSe74W8cRpvWu9PH4kYmpOJ9ikWVZIKHl6KeGJMwE//R99/ulva3z5UR3P37g5o4Mhv/erkjuu1YkjSaPWXVZsVuK2om17Yd0ywUaBZGUqYPl8Wwqg/XPVNRXhtyReo12u3OrfIuhwqryGWiBMW5Dt1zucIXNThkbTBIaxThbauGfJrEbfAYNUr47QwEwIekcNMn07dx4lk+aeWRzP2/9MEMdKVXzzwrMy4zP9bIuVGSVIl8rqHDmc57abhzlybYqRwzZW4tK7gxxH51W3T1DzXBrNAN0QJNI7f4+UqoNHxoJcn9k1AT5ztsFHvxYw3KvKGstlm/d/qZd/8n+S/M7HA5bKGcJIjbFHzg7wfz53ij+/5xgtb2PPE0WC84s50omN4HxqOc1nn8jx+htcBvKtfV2TQDJWqOOH8OVnnM74SdkRxyd0NF1wz0Mej5wxN3+I6w66XFh28EOt83fDPVGnM+n0uRZ//9/X+OXf1fni4xbupjE/XIj5z7+kccPVjiIQt6Ku7EGzFlFc8FVmZ5dI3W20OTtbftysRsydc5l8ukV1bedx5KR1ZCyprOxc4haC7k3bFli2xtgxh5EjTte8YtrK+Hc3AvJYbw8Jy+RQfx9jPT30pFKkbLu9uF9Z0gQdCLjxqMliaZMf1GVgainiA/e6HcPQhiv5zMM+735PnX/7/9X57MM+Avh3f1HnPZ9q8d7PuPz+R5rUd5DY2IxaU/LFJ3xed6N1yeWsMIRnJjfGiG0KJgbUnPXomZAzc93PZKxPZ34t6roPI33t91/CufmI33pvg9/9myZPT4ad9QCgNyv4jXemOHXQ6Bz7O9gbe2Z41sX/Uj06hXEdoSnBv2Y5oryoUueaLliZLqpugqyBYYFuwZHr09iGxdJMk+U5t72AbClvtD+vG0p/5OabDjDYl+MLTzxEflhH0ww+MYiNAABtl0lEQVTQVJZgbSbc9tnRwwluvmUcYo0nnp5m6pmmkvqP4QdukoQ+vO/jDp94As6tBeR7k/T1JUlZSXoTvcxW51jxdJqR4OfvqHLypCpRxTGsXdAZORVgp9VBW03Bx76W5rqM5OjJACd78e18HEOjrpFMxdz3VZP/9emIP/tNQTIp0Q3JK07GvP9jMY0Q/u37NX75ewWHh2CwL8K2JROjMeemDE4eUSP5tmsD+rIaa+vPpx7zvs+4fORLGq+7zeDXf0LnmuMRmoChgZh/+XMGP/LumOYWSfxmNUbMqhbX1hYZcMvRCHyJv4s/i9+MWTonAbljFs+0BaalxkltdYPbk+1X/liNUtxZwIQQDA1nyWRsSsUmtbqPoQvqddWNpxvQO6qT6dMwzG5vLMsySCRNAj/C80N6e5N7BhtReGkza2UloHfI7JCDvWZEo6L+rM2D6WgspDwsR8NJKR5ZT59FSkuwsNBgcaFJuItjsaaBYatruvG6QYb7Mnzl+XMMHrSwHBXcr8z4rC1sXzzHDqZ49a0H8YKAh5+eZ/J0XYlw+vD6qwWaiPnze3N89nGYLyvS8jWjowzlsp3v8EKdhh/yphuWOD5S7mSDgkjn2Ei5Y+zZ8gzuf3aEkyM2Nx85sy/+ThwLai2dXDLk7ieS/O+PuNz8rwVJR6JrkhsnQt4fQ70R858+EPP3vyfBiZGQwbwkaUUcHPB4ZtrihkMuCHjVVQF9vQaltpdZvRHzwc+0+NsvCu66zeGf/7jGNQcDNE0y1BvxL3/a5qf+tU6z1b2wxBEsTfk7nTKWrRH48a4ZSymVCehuUC3rKuu2uSyl6crB3neVOGlHsVuAbRh4Qagyk0AsJZomyBYM4thmaUp5Y42fSGyzuViHaeiM9fQAAl3TuXZsDCklURwzXSxybnl513N+OXFkWOfmYwZ/+LetfWdFR/s0HEtwfqG7eeHtd9iEEXziAY9Pfc3nwmLUEWZ98y0W73ilzT/7I59npzwKOcFv/b00/fuwnvjB73IuiQDt+Spr9fDzAR/6ksd//Lk0lqne9ZuOqVJTw5X8zgca/MLbEowUdOXursNQr8bkYsSRdvfpdYcMetKCYtuCp+lKPvOQzz2P+9xwxOSn3uRwZESVwXqzgp94o8Nv/mn9OwHPPrBnwJPIakThhis1bT2JDn9BqjKDV5d49ZjSovKRspMa6WtsJg4WuOPUtcytLrOwUmR6ukRpycdvqfbK3IBBYcgmkTRIJxPcdfUNlN0yUbhutKkCJCct6D9osHx+I1NhWIK+kQQnBo+Rc7LEgcfq/DTVlRCvJfng/YL33Wfw/KpPHEsMQ6enJ4EQgr5UHz2JPHO1eRJaxM/dUeX2axR3QALNokbhYNSlknzhtMN8xeL7B6oMHL/4yAp9wVcfMvnCkxq39Qv+130BDz8T8Nw5k5uuVd/7muslxw4ZPP1swEOPufz8cxqZhMZEn+DQsMFtRwSDKZ1DIxF2QjIyEPPDrzX4T+fEBjdKQrMZ84l7fb76pM4vfL/Bj70FBnslC8tqUd0K3RDolqBRjLt2u05K54ZXFTj3bIWVGW/XyWgvIcNEVmsrLasJP5HTyA3oHc5Quldn6XyAZkCuXycKY3Rd0D+QZmzYxgs9pqZK1Osq+BSCHTk72azNwGBaZan8CMfZm46WTF1aaSuO20HPiIWM6SqDrGfGNpedTFtw5GSGm24YQz8pWCrVWVyr8fyFNYrLfls7Si1o+X4T0xb0ZdLceGCUKI4JZURqk1Bc35iF58bUNylGazocPpBnMJsBBNFJycrieerliDCI+ch9ER+836DoKeKz5WgMZDOM9OQRm7aqYezxXVfPcMvRCmKTx5ZlRF2eW09NF1gopnnrLZP0ZS+e3YkiwRf+/+39d5Rl2X3fh35OPjfHyqlznpwwCINAGAQBUgQEmKQkSo9PXCZl+cmUtZ6frKcnOsiyHGTZkmVLtEiJFKMokqBEgAiDQRhMnp7QYTp35Vw3x5P3+2PfulXVoTpMADDs71qzZqb71q0bztn7t3+/bziV5JlTKp9+WOFffMnhzTMeZ6dtHj8mD0iffizg1w6ZvHXO5aWXHU6d8UgmNSaGTA7v0Tg0EWekGHF80sXQBSM5nz//VIJ/dMXZEfHhuoKvf6/LybM6f+UnbH7mkyGj+YjFsomq3l4nCsCyVT720QleO7vSdzu+U1hxlWRWo7K6ZX1vJ6SKSgiYPSvl8YuXHQYnTHKDBkZvfn1ibIy263JhZRWQ13sqp7OxIF/LjTx8NpGybWxjJxlfURR0TWPfQJFiMnlX7+duYejSSG83NVIqrvA3vxBnZuV61efNoCjwcz8a46EDOv+/f93qO/oKAX/8vMvvfMvhyvJO4YSpwycfNtE1ycfJJhX+1hcSHJ24dQRSKq5wZPL2PawuLoR855THjzxk8m+/43B1JWR+XXJzAJ48avDvvquyUo6YX4/4b36jjWkoTA2pDOdVjk/pjA9ohBFoKgxkVT75iMnvf2cnR9TzZXzDxYWAH/+AxacfNymmVSqN6KbCnB9EWAa4b8MU2jbB8bkrCsGuu0RuTMfryBN5px4R+nKh3y38ESG5HldPt+i2Fmkf8tk3PMZwIU+mOEu53AahEE+YWLaGpqk4jo+IYK25wfTKErWKTBhWFJm1FIUCtyN2xCNEIbQaHrVujbwZIxdXiSd1GhsBZlxhFYsgiAD5yeq6iqoqZGNZxjNj6KpO0bb4/H1rPHF8iygZOAqxjEAzBO2KSruuMl/TuTgzyscSLfY/5GHGdv+kwwBe/K7F3/49n7kVh3+tK9TrIVEkeOak4KH7epLxgYi/9nmd/3IupFuP6NYjqsD8DDyvwu8ZCoM5jb/W0PlrXwgxNPjZT0Z85TmDN0571ymZNsoh//BfRfz6f1B59LjFC6c9GteSM3uqu1RR5p8FrqC8IEm4saSGIMJMyM35boIxN4thVZVO2dsRRVLxFXqCxnqIbiqsay3CSDA4mCAby1LulG/0tHQaEVHQ4wepUC538IOIdNoiFjOIIvGOkzRLK70cJIVdTd5A/v2Vc03c7iWOHxpksphjciDHxEiGC4ur6IpOQIAbbrvTFah3u6xWG1TWPTrNEMOWRWroi+uI0SKC5VKDIxMeCcsiFbNIZnRatZBYUqMpFHB0oihA02WXLWXbO4odXYv4xP1rPHJNsSOl/gLP11itxlmp2rx6Oc9oocWh0eotN4koUvjmm0X+7r+oUSp5/MGXFVotWQB86zV4/Kh8v8V0yF/5rMXfm5aS7FY9pFUPWV3yePV10I02+ZzB3J/X+et/zkfX4Wc/6fKV5wzOnru+IClXA/7332zx239q8MDRGK+cadK6AWn4ZrASKhudBiISdx1HEfiC0Bdkiga1dR/Pkd9duy59wfo8Il9GVsiuoUvcNMkl4v11rdMKCTxpVrgZF7F4yaE4apLMatfFozS6XRYqFSby+W38tU3SlEI6do0s/13GYFal0RG7pnd7vuCbr3ucng5ue8MSAqZXQh7Yp5O45vBzejroj3+2ww3glYs+n3nC4tiUzmefsHj0kH7T6zgIpZmhHwomB7XbJjpfWgj5H36nzXot4k9fdnF6l+jLF3wOjMriKp9W+MJHLP7Pf9+V32sEXVdwYT7kwnzId0755FMKP/GkxU89ZaPr8JMftHjxnM/C+vWd6Xpb8Nvfcvjqqy7HpnTevBK8YxlW7wVScRV3m3L3TnG3xQ6AslvGUuKQJqLwepXN7T+7POkMjFuM702Rydo7xg7drk+361OrOYRBRBgKNuY82vX+zENmCIW9DtM1ryOe0Tj+WJ7RwRSVRotzb1YpL/ok8hoPf3iAE+MHqTZaXF1ZlNbvCZOUleTh0Ycw8Tmaf5YnHitLtYCA8qqG8BQGp2Tkw5sv2PzG63HWhY6qqUzqIU9NdTk06ZEfDkhnohveGJUljf/yVwy+9GzrOo7LI/dZ/Mk/hnhMXsgr6yo//rcFVy/f/HQZS6j8nZ+3+MWfDDEtwfdO6vzc3/ep3IRPsBs0U2HkoLFjPNSqRFSWApI5ncG9Bu16IIugO1XYIdPqB/bomL28s83f43VlkbNdop4Z1sgMarLrNpBgYCCB64bMzFTwuhEiEn2+T309pL4WYsZU0gMqsZTa5zpouophaOSyMbK5GKoqs8M2jRYVRUFVFb70D2ZvWRElj2h3e7X3YcVUhsZs9u3NcnRsGFVRMXWNc8srLJQr/dcE4LkRCxe7N1To3Oy573+4wMRghqVajcsX6lRWfOIplQ9/eIzj46MsVmosVasAPLp3CqOXIqlrEU+dWOLR/esoqryn1qoJDD3sk5RfvJDjt76bZKnawgsDntg3wgN7HY5NNBnKtknF/Bsmr5caNr/0z1J887vL1xUNDx+1+NL/DDFLvselssHn/27E7PTN7fBNE/7f/w+dv/45FVMXPPOGyX/6PzrUanfHS4mnNdIFnW4zRNUUGmUZhZIu6OSGDBYudN+WYiiWlFzDduPWgo1UTmP8UAxFhaF0mrbrUql3mT1783w2zVDIFHWKo+aOrq2iKBwdGWYin+fC6ipdzydumcQNg6Rt889++c1bXvP7P5l429f8uw3TgExCpdS4XhH8xFGDkYLKt9/waHS2xsg/83Gbn/6YRasrGMzeXLY+sxLyz/+ky/RKSCTgqfsMPvWoydSQRsxUZPfkRmpfH/72v2xybu76a/LwhMY/+sVUPxKi3BD89X/SoLZLkrimydf8Fz9ho6twZibgl3+j/Y7FKvxZwdVvtm96ze/a4bmOkHqnENJ1d+FiF6cbcPj+PIlto4VarUul3CWbs8kOJbl8oSJVCtHWE4hd1rdOI+TcyQpr403CMKLZU2t16hEr8232DnZ4YOooJyYOUWqXWWosEUYRXuDw2Pg5HryvgqpCva7ynVNxlss6P/+ZOiCv7yMPueTOq5y8Isjn40zHDeauprCmBUkj4viIx8NTDvsnfGJmhFtVyY6GtF2F2XaIbsgU2e24cDXg3HSSR49LfkU+CwemTK5e2VbwXPOxd9sR//BXXSr1GH/zLwQc3ysYLGp3VfBcb9qnkMiqtCoKYRjheyGtSrSrkmo3RIFgYyZAM6UqJTemoekK1eXgOl5QsxQRT6tYcRXXCShttEmmLExDozTv06lHFKd07IQiFS5CcojKC9JLKDOkYcYVhB/huxFON8C0NJJJi/W1FuVSlzAQ6LqKFXvvYhbcbsT8lQ5dJ6Dhdikmk6Rsm1pnywjQ0DQ0VaW82r7tYmfzuc+8WWZtsoXvRtR63JZuO+LcxRLDmQyThTzj+RxRFKFrm67UgicPr/LI/nUURdDqGrx0cYRK0+JzH5juP//D++v86RtwfqVLJARnlyqcXYJiMk0QaRwY8XjqWMDhUZ9UTN5vhh7RclRW6jdWcV2Y9Tk3F+eRQ7JFP5AOOTCpMzt9w4cD4Hnwj349pNyw+Vs/HfD4UZ+xUe2uC578sEE6ryN6hnyJjMbSFUfaDXSjt1XsADsMCm+FTjMi8CIMS2Wt3sDQZad7ty5a6AsqKz6tWkg6r2EnZCBpLKWxFKuRjceZL1do1qThoaYr2O/hNf9uw/OltPtGaHUFf+HjNl/8iMWzp33+5CWXlXKE6wvitkLc3lKVbhYcuW1S77GixtSQ1jcH/OorHs+84VHMqAxmVQ6Pa3zohMl4UcXaFk7acQUrlRu/prm1kOVyyJ5h+eBsQmGsqFFr3XxhDUP4vW87eL7gpz9ms29EI2Er9wqedxDvWcCQpkvZ8NUrFbqNkFhaww/kLlavOXQ7PpF/Y5InAIrk7QghiYDJvCr5NtWIlStyIQ0D+kqg2XMtVO0yxsMmBwb3MpYZZSg1SKVTxVAFA8NN2g2D2cUk//ZNlbm2wS8+WcO0tl6ACiRtm72jOpO2w2xX4EY6kanR9TS+edXiy2cUkoaFgc9n9gf89E+GJDKCuK32/DC2PZ+moKcULsz7PHq894dCkEtGxDMqqaJGFMqxz7XdlW4n4v/6/S6vXDA4tl+j0rg7voGI5DhQ1xVGhjPk0ymmF9awkyGdekTgST7WrUwld0MUCqIejaKyGCKiGxOco1D0OWKdjkc8YXJoeC/5RJXaxlXa1bA3VlNJ5FRaVfm6RCTHpuszEbqpoPVGQPGMyuBQQDJp0e0GrM14UtauSGL8e43NruTVpTLtRkgyszWW8HoMw9s15dQNhVRex/ciOvWQhYvdnhGg9IARApZmuzyrzfKJx/eTS8RQtzmaqQoU0l1ajsFb8wVOTRdpdC0+ft8CprFVRAihsK84LEm8SpWzi006rqDe6eKFAZdX4enTCum4yXBG5QMHFP7KxxvkEh5x+8bmjn4ouLIkeORQ73cAmYyForZ37YZ4vuDX/qjNq5dtHjhgs7p++9ycayGE5MPkkwmStsVcWMG0VTrN62Xg7zZMW+krtlIxm4cmJ1lrNFibn6W2HmDFVbIDOrX1QNodbIPXjSgtbY3qrZhKPmcTCjlGW7rs9A8rP8Cq9HcUb80F/O9/2OFvfTHOFz5i8dEHDN68GjCc2/YBCHj6NY+vvuLyt76Y2FHwmAZ87kMWmgqOJ3j+LZ9GW7BcilguRbx5JeCPnncppFSKGZXPf8jiw/ftbmTq+JLbs1nwCCEl6rdCGMIfPOvy2uWAsaJKo/M2K/EfQCgKfPC4wamrwS0Vc+807n4buMZb5aYPUxUKIybHjo6Qy8aYuVhj6bJDelAjP2ogkNwc15Xcm1hK3Uq97sGMq2SHpXPvppHU5qgkkZHxBaalMT6aIxvLALBRbrJWrvHc6TOsTJR4fN/9JKwEg8kBAL555oN0OuvUfI0lZ56heBzaDRnY2VNJn79gcaZh8oExh7/6qSZrTY2nTyc4vWRRduSpTDM0aq6gUY/gEcGlKzp/8KzOlRmn71+ziSgS+F7E6ZmISMhN6M1LBq9ekY8TEejmzZ2fvW7EC6+4vHTSuyGZ0YprJLM65ZWbE45DX1BdCTBshYQtk+QbFY92LZJy9Nngpm31u8FuXUIzpmLF5fgpFjMp5pMUE0XKnSq5ARPDVCkO2ySSJksLdVSVnZ4dQhpbbhaHTkv0SRhRKJVmckMVvGMK3Rt5Fl37EBUKAxYPHhtkYjDH11+4xOqMSyypMnUstoNrlB00aJSD67o8iirHwfGUhtOKSGSl/48Q4HRCokAq6iYKOWKmiYgEpUqHheUm333zKsf2D7BvYKDf4QkjhT89uQddE3Q9HSEEfhjS9dQt2oeAS0s5So04j+xv8OceLzO7ofHVN0xeuRKxWlOIhCAIBZVmQKUFTx1TOL9k8ofPq1y50rlh8RD4gpMXBD/1MXltvzlj8uKp3Yud7T/7+utd3nije8PnNi35GdVKu5MY1uddyssKwZQKw1J1tXl/3siE8N1EYdSU14ACk/k8CcvC0DTyQyYKClN7k+iWghnrsHDR2fV6C3yB4wW4gX9dntb3I0hzMKuia7Bcfvd+uarCgVENL5AKplo74sXzPr/8Gy1+8bNxjkxqfPJhOUlYLkecvOjzxFGDrif4zBM3NnAcK6r84o9LztMXPhLxzBsez572pHQ+BN+H1V5g6YdPGCxsSM5O+2bdFwGnZwI+9aiJosii7I0rt0e0EQKml0Omb2Bw+X6ApsFIXuXVi+995+q2Cx5VkwaEbkeOE46eGEDTVU6fXMN3b35xqzqMH4gzMJBEVzWKIzFKSx65osXUVIa1tSadtuxWSNM5Hd/1CX0hOyKWQn5Uw4yp6LqK7+/091dUyWyPRESr43B0ci+TuXF0VafltpleW+StuWm+677CEwfvp5AoANDxFdZdBVVRaLd81lYX+VRBcPZPbfJTIfk9Id9+K4YvFB7d7xJLCvYkA35+uE6zqfLmjM3LV21OLWuYpoWuqTRaXf7ZlwO+erJLdTW8fqES0KlFfO+1gEpdI5+O+PZZjXLJlREM9UhK/3dRZiBu3hVIFzW020hQ6PRaw16nhZ3q0CyFhD2C7N3wdu4KigwS3eThZLIxhBJxevUMKSvFjz7+BE7gsNBYxHV9Au/2ssuCnvzcMDVU/e3lnQF9IqtuKBw7lkdRFc6eKe9QDF0LVVUYnYpzeHwQgTSl0w2FTMZiKJOm2mkT9Iw3dF1haNJi8fJOFVJuyGBo0kRRFLrtsM/5UXpWDp1GIE03A4f9I0USlsXRSRX3uM9KtcFMqUTLcTkxPoapy9vcC+Qm4fg+V9fXKbdafPS+LWPIjqfz8qVhIqGwf6SOZYYcHgs5NOrR6Og8f8HimbNwcSmi5UYoQLlp8E++5PPlp1t4N1n8hYAX3giotTTS8YinT+vUK3eW83WzLkwio10X13Aj+K70hFqca1MuO9RvUSC9W4inNGI9n6p8IsFoLgtAOmbziQcPoioKuqpxeW2NhW7rtviTYRTRdj10c5Pz+M693lxKIYy4o6gC61qzvts4JNwp9gxrfPEpi2JaZWY15Pm3fL5x0uO/+80WP/+ZGB9/wETTZJdQVaSfzbfekAXML/9sgvGBG+Qv9l72xKDKz33K5otPWZyfC3j6dY/XLge0OgIU8ALBr3+9y3Nndr+G3poNaHYEqbjCd097P1TE4ncTQQB/8D2Xg2MaH73f5LmzXl95925j14JHUaUHj+/KjKNYRsV3VB58YJxP3P84XuizuvI0S9M3d2ANfUF5vUttpC43guEM+hMaRyYnGcwUecu8wOWrGwS+fMO6CYN79R7hVXqvKIqMC5iYzOJ5IY2Gg+MEON2tK0gIQbnS4nunTjE6sMjxyf2MZUd5aM8xDo/u5fTMJZ49f5L9I+McGT4IwGJ1lUuzSzSbLo/vURmzNForGslixMmXbE43LeJaxFhRuqdquuzKZNIRH32gw4dOdDl3weKfP5tmodHlf/zNDu1qhO+Km8tJBVydC/lf/q3NAxOCL7/kYyUUjJjMKtsxSrrNLtrmY1u1QG7wt7m4dBvRdd209wqqppDIyu5DPC6zrjRVYzIzwWR2Ak3V2GiXuLBylZWlJqVFf/dCEHmtOY68juIJg1hapVW+i5HFtgXasBTCAB57ZJgnTkwSiYhSqcvSws2jGcJAUCp1cfyAlG1zdHKQQrLNobFBiukE55dXmC1JNZrrRLhOxPghe+v9KQrxlNovcmKJrdFUFApq6z7Nioy46DYjarUrjA9m2DtYJBuPsWewwHAuzaXlNV6dmeXg0CCD6RSRECxWqpxfWKPV9rh/n8mx8QDPl+7Lz58bpdqy0LWI4exWQaIokEkEfOaRgE89qPDalQz/59ds1qtt/rd/06DTCG/ZFZxe8PhHvx9n36TN0696mLZKu/H2F7nqhn9H3nBOO7ojztQ7jXRBx+iZCBaT8hAIkInFAfDDgNMLi8wtSzL6rSCEjD3RVJVE3MSKde+IT7Qb9gxr/PJfTrBcCvlvf7O9w/TuZlivRSh1GejpeILHjxg8dtjgX/xJl+47dJiKIvjGSY9zcwGfedzixx43OTal82OPWXzpeWkueHo64Oc/HSMZU3j2jM+ZmYAogkcP6xwav41zviJHUI8dMXjkkMHMasg//N02XgC//vXrs9JuhNVKxL/80y7HpnSePX2v2tmEacCPPWbxF3/EJpNQmFsLfzAKHs1QyI5oiAhK8wGtis/IPpuHDxzB0AxM3WR0OLtrwYOAbjvE80LG0wkODT9AMBmRMBPUnQattotpaP2CByRX51q4bki51GF4JEUqZeF5IeVyB88NCCOB0/URQlBadSmtLrO0VuHJ+49xYGAvcTPGoweO870LXU5duUK50aDVdlhYLlGv+AwNm3zxQY1uWS5Ei0sJvlS1CVD50HiXWCBYv6wzcjToJ5kDtFrwzOsGKSXiM8Mqr74SyZl7z1U19G+gcFMg8OHXfr+Nriv9U/G1ajnNUMiPaX1TuU4t3JEndsPP+ftUvOyKmxRtUSCoLgdkhzWMrIZhqAwmBtib3wNAGIVcWJpmbqbK+qwvHZ9vASHoS7ATCZP8iE4iq+K74oZ+RDfD0KRsh28sSun0wLDNg0dG0VQVDYXhgeSuBQ/Ia362VOK+8XEODA1xYEjOjSIR0XS2/DU0TaFTD6mXfAbHLeIZrW9Etx0p2yYVsyUR2WhSHBWEYYTbiZi90GbhSoeZySofvn8vA+kUtmFwYnKUCyurnFpYYDyfp+U4zC3UWZt3Gd8b5y88pfPalQGqLQtTD5leyyCEwlihyWD2xh2YtqPy7DkLXdO5b2KMc6/X+8XObrLuMIRf+4MOuiE9gm72OMNS+oRc17kN6erbEJF+P7Cx6MkCckAn7M2cVEV2DqIIrq5vcO5CmfKyd1vCARHJQj9umqRiFsUxk4VLu4/BbgeKCn/+IxbZhEIypjOQVVku3d768uABnf/iC3HaXcHEoMbV5ZDgbXACb4bFjYh/+dUu5+cD/pPPxpgcUvlPPhNjtRLx9GseS6WIRidifk2+btuShoLGHRI5/ABeeMtnMKvyEx+w+Pu/3b6tcaEQsjB7+jXvPeeJ/SDjyWMGv/gTMTRVxmqcnn7vHBN3pbVZcQVNU0imDAanDBI5jUP7soRhi+9deoX1RomRwXw/rO6GUKQ3S+jDUGYK24hj6RYNt0nMsBnIZYknTOwbEB53XiSCWq3L2lqr3z0xDLWXbxP2Tm4CVZWLZqvt8tLZc5ycf5Nat46iKHzg4IPYeoy3Ls9zeXqN5asuXht+5PAwowGEHviqzZz9JOODDzMQS/Dkvg7rl3TiWUF5UaOyKk9k7bbC//xbGs+c9Vlv+EwlFUYG5XswbYWh/dJc7trPQlEU7KRC4Mnk+agXTHktn2Ez+sGMqxi28kO1qG9C0WQcxOBe44a2+t1GxNp0wOp8h3rd2ZGFVe5UuLKwRCRkQrtyo5iSa/5INyCekKvZZv6VGZMqNCtxewWPYSrEUhqFEZORvRZ2QuW+YwOYusaV1XXarsdgIXHLCAnfjei4HuKab05VFCYL+X7OkW4ojB60iCU0Fi51KS3J+IOFC46UOCMVXZl4jEwshh9KRZHbjWhWAlrVkHRBJz9s4vkRr11ZYLFS7f0ulUNDQ6SsGGcurXLuXJmFy11A4UPHR4ibCeY2UsxvpLi0nCMIVTRV8NjBNXRNXpAbdZvlcgwE1Nsav/zrBk+/5OAFAam4RTIlr3lNh5H91q7k8Cik7zFzM9gJjdygTjKn3VHn5gcJ2UGdwuiNZ8thIFiZcdlY9JgvV+h4PfGBgI7rsVip7jouvRaqBlZMI2GafRNCBSmTnzhs3/V7KKZVVssRv/R/Nfn6SY986vYY0JYJn3jQZCCjkkmqvHzBxzIgHX93vk0RwXNnff7uv2rx3BmfelvwuQ9ZpOMKZ2eCfrGDAj/zMZsH919/gc6shDjbuk9BSH/85HjwK1/p8N3THuWGYHJII3uba0n/Nf4wLt7vIuKWgqYCAr75usf6TdR37wZ2rXX3HE8yMJDAtnWaDZfRUXhyKseLVy5w8tUq4Qc1Dk6ME09rklOgKUThNideBZIFjb2Hsnxg/0MMpAqsNtd46cJpzJjKweEphtJFVsuVHolv64goAK8j0AwZ2giS9Os6PvNzNbpdaWrmdkIURSqbvK5AURXshEKqoONaAZVmjbPKWzw8+iBxM84Hjpzgd7/yLJVleUXvOZQgMHXKGwa6arCaOo5jZEjqEcWYIOlGhEnQbMGvfinOhYrHFz9k8fQrPr/7DZcfP6HiOi5upGP3OlNR79SlGQp+r4MTS6uoukK7EtKp3/oOiAJBaX7zM/0hO8b2YCcUEjl112TxzU7PcqrJcK6Bl/cIwoDXr56n3Zan4fSgRiyt4rQFTjPqP18yr9Eqh1vPryh3nGV1Lfbdl2DPcJ6BZJJzxgr7piyOTw1zcWGdZ19Y4AOPjLFvLE8srtNpB5Izcc39asZUDh3L8uDUBLqq4fg+p2eWiMdM9g8VScdifVdvBVkEDU2ZaLpCedmjYan4bsTiZYex/RZGTmd+rUanHWDHNFbmHAJPjk43uyu6EWAnVQIvYilTxdR1htIpdE3j0PAQp18v06xLk7bxqQTpZJqrqx5CKERi60OLmS6jedm9ajsG//xrOWZXGvzMR2N8/aTCl77Z5OH75HhMALmsTWnDIQrlwUY31H6MhxVXZQerefvt6mYloFn54fXI13SF7IBBq7b7e6iu+iTSHsvFKgeGBgkjwaW1NTodn+KYSXbAoLrm02mGeE60CxdNwdR1bMMg1it4BiZMckPGXQc4pxMK/9EjJn/4PQfXgz/6nsPDBw3OzrLrOpRLKfzS5+M8cdTgGyc9/vXXuzQ6ggf26Ryd0m/JeblbCAEL6xH/6N91+G/+SoLHDhv8zMdtfuXLW0R3U4eVipSqbw8OdX04NR0wNWQBcu3+7Wcczs0F/MdP2Tx7RnZoPvaAyZWlgFor6okOfggX5B8QzK2FlOoRl5dCvvT87Y0H3ynsWvBMTGT6p+5sNs6xwaOstSqcPTtNqxJy/sIyDx8+xLEHB1haLROL64S+YG3OpduI0A2FI8cG+eQjj1JI5giikDevXOKNl9axbI3sJ9I8OHmc+dg6K8sNRCj6JFYFMOOyYBBiayNbvNIl9GQxkS1YrM+4/b/TenlL+VGDobE4vhfRbLqUSm3i2mUeGDvBcHaA8bE8pcU1Thwf5cc/9gjZWJJ26y0i1aBhjQAwV51nwCjj1hXGH/B57qUYX74gOPNah699T6ZkBx5M5TQuOoJKpPZPpIErWJ/2d3yRviuI7oD4B/SjO34g0SPPbi/GYmlpBrhJinbagvXpQL73Xd5H4AnKyz6X0ktEakCz2WVmsdQf8ykKmDHZrUkV1K21RpWxI5XFQOYVKaBu0+KK3nP7DnSbt7f67x8pcHhkmFqng20anJgYw/F9Xn1jhU4z5PLVCsf2DnLkeJb5xTr5QQvPjVie6eI5Ak1TuO++Ao8fmiBuWggE5+ZWefmlVSxbo/DJBMO5NKPZHK+fXiFd0DFtydcpjsmwwvKyJwn7hkJ13Wd52u3ZCQhyA+aOgkDV5II/MCE3SSEEjZbLyfo8TxycophKkU3E2Lcny6lTJY4cKvDRx6cwdYOVirFj2W65Dr5YxzIk7+nFCwW+92aLs6dqPP1tlcCX3ciRgk3Z7+KHAYa+Jbtdn99pleA7EXdnnvDDAyumEgZbhWcYCObOd29ZbEQRrC+4XM2V8MKQjucxM19jZcYhkdYojpkM77H6Ce19xacii8JGRWbhKT1rgs3Fx4pLqf3yFWdH6vttvx8TfunPxzk9HeD2vrxaSzA5qJJLKlSbol+sb794cimF/89PJ3j4gE7HFXz1VbfveXNuPuCv/7k4K+WIq++i8qjrCn7ta13+/s8l+cSDJn/8vMtqJWLPsMYvfT7GvlEd26B/0ogi+P3vOLS6oi/hPz0d8Effc3A8ODPT6qtCD45rVFsR67WIdFxho/auvY33Pc7Nh/zn/6xJvf0OqmdvE7sWPDJ12Kfd9nh4/xESZoKn3zpJeVXeCavLLS6vzvGBY8e5UpjlxMQhqp0a34udob7hc/TQGB+6734ysRQA0xuznDmzTKcW0lVC3nhzganCOB86/DDdbsCFK4uY27wKNE1FTQhE76Z3WoJOrWcSJiLa1a6MFNAUBiZMJvamWV6uU1vzCXyZGt0qS4WLoS8wmh3G0i00M8S0FfYfLJCwYggUWhjEQx89cln3fRYbS+RssPYKmlWVr16xmblcIXAFzV7ytqoppC0VI+rltahbC8y1C957pn56F6HqClZcKkHiaRUrodKpR9RW5eJrp1RUTRo/IqRDtns7RZ4C6azJ/okRwtBnYamyI+xTRHJx0vSdizvIQmhwn4HvCPn6tmVq+V3B6pXgjjpkpVaL1uwcjW6XE+Pj2IbOc+cWqWxI3s3qeofVapP7D4xQKMTYN1jE9QNesmdZX3Q5fKDAo0fH+8qoWrvD6bfW8RyB5wR87+QcP/bUIY6MDFNadTh/pcTYARvdkEV9cdQkltRo1wOa1bBvprmJyvpWCZEtGuw/mGZ2ttEfhfle1Ot0Qlxb5YPHbVRFQbNk92FqKk3MNJB8op3vvev5pOPydW/Ubb580mR+do0w2Apf1TSF43tcXp0LsI2wP/q6Eb4fsuh3E4oCxTGTTjPsS9lNWyEMlR0cxNvtrGSyJnsHitQ6bcqtNlZcJZ7WaFQC2vWQ3JBBLKlh2HLMavQ6yKmcTroQUC8FpHLaDn5asxJQXr7LTooiyaSjeZV/+kdb15kQ8LVXPZ48ZvDyeZ+f+9EYFxYCvvKy7MDuHdL4hR+P8VBvXPT733W5uLD1efiBVEv9dz+X4H/6vc7b5myYBjdVPF1aDPnXX+tydEqn2uP9ZZMK+bRMIF/rFSwxS+HqSsh/eNHlYw/IEYLny+7OZjzEdguMTFxWeX6w07TwHu4MiiItAMqN977YgVsUPFevlgn8kLHhPMPpQd6cPs/5U5W+kkjVYam8xtGxfTyVexxd1cnFMzj3dRmIDzCcGUTttWz80Ofq0hLVNXk1CQGLV9u8OHSWzz7xYT523yPUGk0WF2vE0qqMgUhbbKy3iAR0G4LGRrijUyCQZL94RmXqQIpcMs30pSrtWkS7Fsk8qEBudrOXGvyp8yKarrJ4tYXXjTh1+QpLtRWGBjI8OLKPbHIIgULkVlBQUDz5BYUanDzXoFa6/rzqBxFTCY19owHeDy3r4NZQetlY9jUJwsmCSuBpNMshtdXwhrk2t4JuKBw7PswH9z/KemuD2YUSrru1KIYhlOeD/mhTMxQyQ1q/s6dqsvBRVGXHNxB44o7HgbWmg2a4DKZTDKSSzK1VOX1mY1u3TrBYrfDkwH4KyQSgkLTg0UMTmMd0son4tuwqwcxqhXpla3VeXuxw6soyHzy2hyfun6DRdlidbTOyz0LTZNGTSGs0KwG+c/OdUzMUxvbGGMylmJlu9GTXOzeSt05XaLZdDFNlfrpFGAguzK6zVq+zb6TAVLHQ7+BGIsLUNBRMWo5Bx1V56Y1VquWd17wQcmMYzaV55ECVF06+v9UnigLpoo5CT0gwbJAbMpg738XtRDSrd7dqqxocPzLAoeEh2q7LC1eugBkxus+mOxiyMu2yvuDJTqoiDxuj+yySWblkx5Ianit28CcVRXlbNgyZuMKTxwx+5Std6tccVFYqEX9pSucvfsKmmFF59JDBejXiyWMmH3vAIBFTejwvwUvnd3a3owh+85sOe0c0/rOfjPFf/WqL6m55jLtAUWAop94wYwoAAV8/6fHNN7x+evipqwH/r/+jSSGt8gufjfHIIakCXiptFURCgOuLm/oHRQIOT+jsG9F4+rW7eun3AIwUVP6XX0jxh99z+INn3Vv/wDuMXQue2rrHnn05njr2KPOVJV54+QrutmA+O6GSSyfQVR1dlU9laAb3j5xAURTCKKTm1NlolJnbWObildUdIYyBKzj7xgaB/z0+dP99PHH8OKsrL9GuhAwNm9TrDlEv1C9VlCZ1leWgz4tByH/atYhLZ+p43Srd5pb/zfbwy9pqQLPURNW2giAr6y7Nuke53CH0YbzQJm7bzNcW8EKPy57KP37WpN3xuXK1c73SKBScWgn5hQ8YdLIRszexGX8/QAholEKcXkyJAthJSQZOD2p0GhGhdy1F9/agGQqpeBxN1YhEtKO7A5KMbCeVXuSFQDdlp0kzpZS/24zwHUE8qyH29J5TU0lkdDRdbsjxzO2RLmff6vDAowWOj47S6Dg89+r8DrfbeFojn0r00om3NpvRXJowktWeH4Y0ul3W6g3OXy7tkGyHgeD06RKOG/DwoTGefHCSf//0BUpLHoOTFgrQrgd0GiGpvE63Fd4wuDT0BTMX21w527rOjXcTbjfi8tnmDvVUveaxttylXO3iH4wopOOkYjGCMMQNA+Y2VP6//yaO1wlYmr/e2TiKBN99U/DZD6ex9QWmF977Reu9hBDIANmeOjP0BUN7LIYmTRYvOXfdxTJtlVRSVvDSfFX+uaJIr57hvRZLlx05RhQQeZLsHE8F+J6Mwwh8QTylMTgkDfNStk0yq1Faks9lJ2/farmQUfjPPx/nmTc83rxyfQdmOKdybFKqtUAGYv63P5dEVWC1GvHWXMDlpZDnz/rMrF5fdTXagn/w221+9pM2X3zK5lf/9MZGkrfCJl/nVo8Jgp3/3+wImp2Qf/31LmdnDIbzKr/9LYdGW/DsaZ+1akSzI6jeZPR9ejrgb3wuzpXlgOmV96ch4HuBsaJKJqm8rbT0t4NdC554zOJDxx/EMkzOXpntj7IAdEvh8JFBHt3zIDFjZyqvoih0vS4np89yZWkJx/EIggjPvf603a4FvPHiGguzdX7qJz7Ixz9wH9949jTzV5rY21uHAgxbIT2g4bQEbjvqj4lEKGhWAlQNYilJDt5UPjmtXtickIvV9rDq+mooORMLIQsXpsmPLDC2N45p6bhOwKmlLhsLLoF742gEgG9dcOjoChcXPSrl9/FpV4DTiHAaW3/ULEcUJnRiKYXciEZlMbztqIRr4Uc+TbfFlfU5us71C256UCNV1HDbEbXVkI05ScDd/r04zS0Zs6LI8UssrZIe0K5XzN0E2ZzNA3vkSOrlc/NsrG0FXKoaHNqf58DQANdKxBRFEEaCK+vrXJ4tU6u5ZAZ0PO/6xbHbCjn9epm1lQ4/+tQBnnxsjOdeWqS87PWVTHZSpqZruk67Lj+Pa439uq0bmFveANs3luqavEYXLnVZnpkmWzSYOpBE11SabZfSiktl1ScMbh7zcu5iCcMU/N9zbSqV9/E1v4nN85WA2kaAaasURk0KoyalpbuTHG92JwWC+VKFesWjVQ9JpDUSGY1EWmPyiE2zGtIoy4gJ3xXUr+ni+V6EqepoioraC8pTVBjZZ5PO316WlmnAz/9YjJG8VFVdi/EBlb/7lxKMFXcWUApwYSHkf/13bRY3dlffgZQg/8qXu/zcj8b4wFGDF8/77zn39/JiyOXFcIfX1uxqyOwNirTteO6sz3qtxexq+J7HIbyfMLMS8QffdfjWm98fdt+uBc8nPngfw5kBXrj0OhfPlPtuvFZc5aHHR/nkI4+StBI7fqbrO1xdm+O1t65QrjXRra2bW9W5oaolCgXrS12++uxrfO4TT/LIA3v59jOXiXcVMoO98ENVhlEmsiqJLASezFZqbsgLNZZSiQJBPKvSKksvnFRRw+vKjeimENIDx3cErXrA4myL0Be0axFu+/pk3mvRaIR848Xbc0R9W/gBFAZEgaC2GpDIWAyMWQjRpbwQ3PHrFAJWK2Ve099gem6D+lrQ78QZlixaVA0UTRKjzbhKbTXskaN3UYBFAishVX6plHVbr+UTT+4hE7e5vLzBuXOV/vdvmCoP3DfAB45N9tPHNxGEIcuVJmcur7FaalFZlYWLust+IwSsLnf57quzfPpDB3EfiHj2hQWiSDA0aZEdNPC9iPpGwMheGyuh0igFbCx6W7LlXtdBNxT83r3Z93+6BaS/k6DTClmabxMG8tDg3EZ2T73u8exzK7d83PsVlVWfdFGnOGYS+KJfRN4JwkAwX6qiKHBlqcziZal0q676WHGVTFGmuA8kNPLDBuUVv39dbYemKxjG1njX60YoikI8uWVceSv85ActHj9s8A9+p019e5q3AvuGNf7mF+LsG9lmfhnB1ZWQP37O5YVz/h2FW3o+/ObTDr/w2RhBJHj1wvdJkXeHa1THETfsfN3DnaFUj/hXX3Nu/cB3CburtAojXFi5wqlzc7TrMqgxXTB4/NG9fPjEQ1j6VvK5EIKV5grnl6/y8vOL1FblIpAqaKQGNDRdEvyshIrTuoGhmICZi3X+vfIijzywl2RWp7bhY1hKfxyxfZ/RTVkM2Qm1L12PQjkm812Bpssx1u0s/ptoV0Pa1ds7NV/72t9tqJryA6nY8h05UpqcSuB0A9qVSH6/d/gca8ttgiCkWfdobIRb35siO3sDU8YWh0eH/JhGMq/SrsrCNPA3w2W3PiNVU+TYNRcnX4jf1msZK2bYaLR46Y0luq0QTYdk2uCxh0a5b98wSTuke01U2ZX1dZ5/aYnaxs6Nz3MjMgM6zWpww7EUwNx0k2+qV3noxAiJpE696rO+4GLYKsmMRm7IoFkNQIHcsEEsqVJe8XE7EZ4boWjyRL95kLgTDxeATiOk8w44Hv9ZQuALmuVAdnlGDJqVO8+f8xzB2mobN/RoN/1+ISNEzw26IwvbwQkLTZeijGROo74hx52eKw9jqqrQcl2ajkPH84inVIamzBuat94Mh8Z1fuXLXd68urWhKwo8fsTgb34hTn5bpz0I4Wuvuvz61x2anbtbj7qu4F99rcto4c9Iuuk9/MBg14LnOxdeZG2tiR+EjOy3mBwr8PDhw4znR/qW6NuRj+d5YNziaqFKs1wn9AWNUojvCQrjOqouN67yot+XLm9HFAiunquxNH8KtyNjFqrLody4riHLarpKJmOT3hsjDCKWV+uESoRuqNz3ZI6ZC03qG/6WdPom2ExX35R3/qCqqd6pYkfVZQEZ+ALnnXBmFtDYCFhZbhCJiNSAJq377+DlikjQqASMjGskkiZmPCBw5WvVDaXnzNvTkvagKNIY04prRJFG1Iv+aDQc6QUTRkRRhB3XMEyNVuv2uCavzcyzuNJAjwlG99lMjmY4PjVMJhFDQcHxrt9I9haLXMhWrit4DEslltCYOBxj8bKDdwOujRBw5XKd+flmLycOwgBWZxzGDtjEkhq5QaPnIi3JqkfvS5C1E1yYWwdkxzWh21w8V7t9zxul92kq13dc7+HWqG4EZAYNycUp6FRX77zL066HZAcM7IQ8EIahzFZTVHpxPjsLAjuuEt8rpepOO6LbCklkdVzf56Wr0wghr7lsLyfqdm/B/+F32v1xlKrC1JDGpx4x+fRjJnH72tEtPHrIwDIU/tkfd/qKpjtFsyO42LmDQvsHsMN9Dz982J20XOuSy8Y5tq/IVHGc4fQAuqYDAjdwMTV55HYDF1VVMTWTlK1w4Egely6lBVnYdOsR3XREdshAj2k4uagvXb4WItoZkRD6gvJCQHFKx9rm1hkGEYEfMZIv0A06KBqUNtp0uz6u75EZ1OSGl1JpliTxU1HkZrKpMjPjKgNTOpquEkXyxLQxF+DdRlv/hxWK0gtSvIM29K3gtCJqJZ9YSham8Yx6w4JWvoDev6/59U4zIh43SSRN/EBGkWx6Y4hIQ9UUkkmTZtPtj2M25biqCmqv+1OrO9QbPTOr3iq+ONugXb2973S92SCdNTiULTCaS1NMWfjBlmvupkmfQLBJ37YMg737M7Q8h43FrbFDtxkihgzsuEoio92w4NmEd00Ar+cIlqddJg7bmJbaH1koCuwfHKCQTFLqNOj29Lme4jG632J11qVV371LWRw3SWY0FFXeD8tXnDvuUPxZh9eNKC9Lonm/y7OLweaN0G1H5GIJtJQs6hVFOk2D7LzFtrkb1zd8qms+2QEDTVew4iqFka0Oux9EvVwtye3qtmRBdDsQQiZYHxrT+PRjFh++zyAZU/ADWClHZHuHzUpTBnHmUion9uhkkyqr75FQIxVTaHVvziu7h3u4Hexa8BzaN8Le/B4GEsW+vDwSEVc3ZriwNEM2liGViLHW3KDTCjA0A6GE+MIjk7Vo1cL+xteuRcSzIf4NSJw3RW+R7xc9k/oOnx7HCSgmiszV59A0lak9OUqlNk43wHNDCuMGmibVXUJAJhUn8ATLcy26zYjMkEwXVxSB1pN3FiY0Kkvg3k6XQpFjOs2UcuLN1ObAl47AP4gnZ0ncfmdXDRHJ8aEZM+QIKK/dtKBVFBk5sSnzDTxpSug7gnrVY3AkTjZnU9poo+sayZRJrdpFCEGr5fV/X3lehgEqCmSGpBOzdPuNUFT5vYC87ipL4c5Q1l3w0NQk+UQCU9eZHGiiKl1m1w0a3S5X1zaIGSaZhM16o0mn46MqKrqpUO22yQ8bMtCzN9JrN0J8N8Kw1F0l5jeD24lYm3UZPWCj9aI1VEUlZdtU2u2tvK1eEbs66zIwbhJPh5SWPDRNYc/+NL4XsTjXIuh1Cdu1gNyg0fd1GdpjsTrj3vY4TFHlKEXTd17zNxvbvV9RXfNJ53XspCQa1zduzfFQNXn9CiHjR6p1h1hSI5XbuRSnCzv/3+1EvSJGdip1QyE3ZKBq4HQiPCciDCQf8k4Lr3xa4f/5ozE+cp/RdyFudQX/9EsdXr0YMJCRiemlRoSqKORSCh1HUG29d9/31JDGubngtgqeTFLB83nHwkrv4f2DXQueR8cf7svNN9Fwmrxw5i2m32oQRasksxqo0CyFRJEcXVlxted6u/VzblvQLEXEUsptFROKqpAb1bY4Gq6MWihO6f3NTFVkGKPnhbRaLk7XJ5+PU6t2WWp2qK54xDMqsbRKMmnyqUcfxws9vsbLuE6Ibirohko2GyOZtIiiiFbTI18Mqa17OO2IRtmXhNAbvF5VVyhO6f15uWFqDA4kKZc7LFzs0q1v2+Ru4Ex8O9AMBc1QfuC7Tn5X0CyFZIc14mmNVCGiWbq+uJWLvWBwr4GVUPA6gvUZnygUXDpdo9Xp9jdyOZaSXiMiEn1+jqpBfkynsiTjRMqLIYYlJet2QvLEDEsh9KFViW672AEYzmT6/71QSgLgBQEvX5jjwpkaUSR9chQFWjV5zRfHTHKDBlEo+uRhkF2o+QsOpq3cdoK1aSs71FjNasj6vMfwHgtFkblaiqJwcXUVdzO+WoBmSqnzwkWHzIBOYcQknTb56MN7URX4unaJ8oaLHVdJFwx0U5F5XorcXO24SrseSkl8M9q1+MkNGuRHZKdB7R0UfDdi9lx352bbG5u9X0/lUQhrcy6TR2MMTlg47WjLEfkGiCVVxg7a1Dck+VxEMHu5yfih2C3DbQfGTaIIauvS4ybwBRuL8gCgqvSz6u7mMPO//mJK8mk2lWNCetl897RUUc3t6AaLOyIpvxPQNMgkFFQFbucu+vyH5L3yG9+4e9uAe3h/YteCR1d1IhHhhz5e6NH1Hc7MXmb2Qkue4OlJgbdhfTrAjEuflHhWJZHXaFdDRCSorQTU125jAVQgO6SRzGs7xluBK6guhRT36GgahFHEW4uXWVtr4LoBUSRotlwyaZuBcYv5812qywHdusoHP3OMwUyB5y68RtDjdoyMponHDVR1a2SQTEo1z9i4AASNmsvaUpf1RYduK9xRsES+3GyzwxpmTCHwZZRFGEVYcbVf8MQzKuMHEqgazF9u06lKsqlhSsVDsK2gUjX5ubWrIYoqs6h+WE7O7WpEdtBg74EcttXiaruFfxMJZ+gLFEVBM2BzQN+phzSqfn90KYSgUXdJJE3SaYtG3aHd9kmnLdqaRywT4XVl98brCBRNITuskx+QWVXldQfvLomVAEEoPXUuL29w9WKjX4jUSztP8hsLXl+pc+3p2utGeNfb2VwHRYHsoEG6oLNwsbtDjVNb97FiKvlhAzcIeH1unnrTRdNlp0UgeVBD4zatWovyso+uK3zowSnScZuLy6sohmDiUKx/nReSCQ4OD6EpKlfXN1iljhVTKY6YEKrUSz6lNRe3G163aVTXfNxuxNgBG6VH5TNsFSumEvQ6uIalMDRloZsKK1fdvleQGVMJ/WhHEriiyJ/fbeT3g4puK6LTCBkaiiMOwPRb7Zua/6mqgmGqWPGtk2CnGVHf8CmMmjf+oc2f1RSG95i4nZDONWvu0B6LTFGa6VVXfWlYeAcYLah0XGm6N7saUmpE/NFz7h0dzN5NhCG8eM6/reLFNqVR45vTwb1i5x6uw64Fz2pzjcX6MmvlCtVql8q6y8aig7ML2SwKBU5T4LTkTZof09BNcFqib4Dmd8XNicQKFMZMjjyQZX29Bfg7/i7w5OYWS8mFvlrr0On4clSiKHQ6Po26S+gL0oMapTnB+ESOo1N72WiVuDSzBJFCMmmxutIkkTTJZGwsS0fXtxYiVQVFUckVYuQKcfYfCWjUPdaXOmwsO3RbEVEgcFsR69OCWFp6BBUKGpqu0kkHtGvSGM+MqwQiIHQjot5CvxmKaSVUGush7VqEqkJ2RCPw5OckAkFj/T1Q0Fx7uLzLhS70Ba1qiKkbTE3mKa04lBZu4LUhwOsKEjkIffqdGyFuQKBVwDQ1crk4mYzN8lID09RwHBX1mgR1RYFkymRsLNP36Kks+XjOnZx8BeVWm7mNMhvlLtWKy8aqg7fLSEqOJ7bGS/GktoM8vN3472ZIF/V+dpKmX0+0b1YDskM6KtDsOqwvuKQLOqmsjogEa7Me8bRGZsBgY8FjYjzF1FCOrudxYWbTKVrIMaCqUO861DpdkpaFqWuoqsJAKsVEPk8mFkMgqLW6LJcazCzUWF1u43Sk14oQknA7d65LccwgXZQcJ9NW+5ELuqGQzGq4nW3dIgVSWY3MgMX6vEerFqLpCoVRA6cdvecFj7Kto3G3EAKq6wGPHi0wnAkory5SXb8xgbnTCnHaoTRH3YbwZm/7Gr6boij9EeJ2mJbKcDbDUDrFG8ESpeXr5eu74Xe+5fDd0z5LpRA/5Aem0NmO2y1edE3h17/hXBebcisYOhyZ1JlZCfFDIY3xfgA/h3t4e9i14Dm1dJalxQaLlzu0a9GdKYUENMsh8axKZlAjPdC7YTWFbjNkfTa47vlUTSE/anDgRAbL1vE8mYytagqJvMrAiE08peMHIa7rEwYRzYYjN8keryCTtiltdKguh2SGNArjOnsOJZmtzTK/tsbKrIPTiqikfAxbwSuGrMy3MUyV4bEExYEEigLLSw08JyKdtRnK5TAMk737pgj3hqxUSpy7sCydUF2Z9dWpCcIA7ESXRMJA1RQMS4afajoEveCQ/LhOac7Hd6G2GpIdgdyolO5HgaBdjWhVdiGd3oT0ezeIpVUGRm0GhpLELRsFGcVRqbZot3yaDY9OM5AS2HBr09r+u42YHGu4naj3nQc0Gx6DAynyQyb19eB6grQic7fg+u7WtQaBpqEx0PtONE0lk42xuFBDCIGdVFA0ZcfISkHZ1q0zKU7Kk697m52e2VKZM9MrLF7t0LmRfcKt0Bs3KKoMlswOGMRSaj/j6NrNdbOzMzhpSpXgNo5VIqORHzKJxTV0SwFF/nkUCpxWRCzRG/GpCsmcxtIVh+KYycCYyQceHkfXNBYqVZbnurjdCNNS0XSF4b0WC/Nd1pccsoN6fyy1Um6wtNRiYijLQDZB0rY4OjXE4clBlis13ry0wsLlTn8zdbsRa3Nez9Fa2eH4bCc0FFXBTmoMTZksXZUdg8qqT+ALRvfbtOshQghqPan1ewE7oVIcshnMJ0gmpPrN7cp8vnKlQ7Pl0Wr5uE5424VQtxlSqrXZM5wnN2RQK/k35O9ZMRXDVq9T0rmdaDPPcgdihsFQJsNcqdw/FMQz+vVxFgqM5jIMpTPMZsrsOR7idrdGXrfCb3zj++eLclPcpSrrbk0BTUNhckAlYSk8dlhnfiPi5EW/Hz/xvoEChiaL7H5R+GeosNu14Llwtsz6nHdr/ogiN0+nJXZsPoEnqC4FZEd12eIeSpFOW3TaPoFbpbS4dfpXNIWpo3H2Hs5gmjqLCzWiKCJVlOOiZMbgow/fx0CyQMd3mNtY5vLcIq22dDpVFYiiiFq9i6ZDIqdSWwkZO2TjRA4brRIbJZmhpeqS6NdtwfBEjFa5y8asR6sW0N7jY5oqS9MdKisBqtpCN8ropoqhzxNP60weTBDd4AgRuAKnHRIJWQR1mwLTVohtxhooCrohGNhjICLQdZVs3sZxfGptj+pSz69llwtQNxX2H8wzWhyg2XaIGzHa3S6rGzVabUeqmxSFdtvb9XkUVWHiUILHHzjAweJ+bMPu/93mCLPjOZQaVeZWV1haruO4HqoOrbpPoxTgdQSGqZCf0GmshzQ2pBru4tkyygPS/DFZ0Kgu7zQjtOIqdkIhDCSpGEWOOmIphWsoY3h+SL3mUByQBpeJhIGmqwR+KP2XDPC3r//bdg3L1lE16c2zney+G154Y56NRe9tqZY8RxKnR/fbZDMWI9kMa7kGgd+gtr7T62R8b4KJPQkajgzCRcj4imRWpzBk8vC+SVK2TRQJ5isVVmo1Wp5HFMlrq17ySeV1EhkNO6FRXfOZPBKj7ncoBgkuzZdwOlIB5DpRn1OjaQqrsy6NSsDQpIluqqzNuTTKAZfPNaTLs6oST+gYhsrEvsQN+WdhKGQMRkEnkdboNGSeWiqn9b+KREZnZA99rptpS++sMBRsLLg7xls3w779aUaL6T5HyvUD1kptOh1PkrEVaLd3l4YrCozvj/HR+w+Qjce4tsQQQo4wO47HWrnN/EoNxwlpey6NukerHvQLmeyg3icSB77g1JkN6l4vADSl9Ttd12J93r0uxfxm/oAJyyIbizG37UO34zul6ooqieNRJBVUSduiGXfQTcHGwg/nTvbU/QaffNhkrRrxnVM+FxaCHUGe7wbaXcFXXpYF4slLcmJwp12idxq6DofHdczemuiHsFKRTs9BKO/jOxnbDeVVfvZHbPYMazQ7giAUVJqCxY2QMzMBixsR7feYn/VeY9eCZ+mi07/BNUNB73Usrl34NEMhVdAI3GDn5iNkcradjMjvi5PPx+UoJ6MxNBmjvtE7/Sswvi/Bx548TjfsUGpWpAJGVUjm5Q2u6yr5eJZiooAAxjIjjOUHefrkSTpNudD5riAMBFZcGs6FPhQH4kSRwHUD6lWXZF6jMGKiGyqthk8YRRi23BTrayFOq41uQKchi7cwlOMQSUYMqJVdSqvdvrpoO0JfUF4MKIzrchEXgmRRJx43yGRtbFunVnNot6WCZnw8AyhMX67KYuc2LrYoANPSefyh/aTsJNV2g3qzzWolieO5ZBJJ8qk0Z84t8tb5JVotF3HDO1eSgG3DQgCO72BqJoqiYGomlm6RslIMpQY4PLKf9vE2TbdJGIVcXZ/j8tV1Zs90+htQZkgjCqFVCamsBFyxqlgJlWRexWmqO7lYnvycvK5UlBiWwuBe/cbOxELgXGOn329yRWy17pWeC3dqS0Kuqkp/nNS+zZDHlZmdfj2mrfTSwu9sITBM2a3aO1BkT7HIeD5Hq3WFZrnZX7yn9qb50Q8fIG6ZvD43x0ajiRVTmTgSQ0Fe82k7hm3I93R0ZIShdJpnXr1M0Mst21jyadVCsoNG/72qmkKp2SQMI5YXW1i2JMuKCJyOHCMlMhr1kuyszJ3voqpKv8gTUc+6gBCnKwuYatXBd6+XBYsIVudcWfj0Ohe5YYNEZmtp2VQUbUejHLA+797W6EVVFWIxnfuODmIbBs2uS73VZc9UGj+QyqF00uLClTLnL5Xodm+s5hFCyvANTeu5r/c6ZIqC0vvH1HXMpE42GefwVBEB+EFIpdXmxdPzTF9soSC7coapsnTZodMMqZd9Vhe75EdMBiZM3M71Un+nHUmPqm3QTUV29659sQqMZrNk4jFUVfpK3QiWrWL2u6IKuiZvojDYSaD/QYGqwsSgxnIpxL9JoXtwTOeJo/J6+dSjFl9+yb3r7K27wfcjxftaKArkUyqfeNDg8ITOhYWAmZWQYkahVBdoPb+kxY2Qs7PBTdPjt6OYVmVH0xMMZFUsAx48oGLqMgV+YSPkn36pw+JGhKax03X7fYJdC57tbVlVl2nZMqwzpL6+NeYIfUFpLrgpL2dT5RSGEbouCcL5QozCmMvajEtuyORTH32AI8P7WW6ssLi+TjJpUsgn8byQ1bU6QRBRK5/nQbGMY+Rw9RTDto2mqpL3gEIUwMZMgBlTMGyFqSMJ8gV5kltZblBZ8kkPaAyPpkgmLTwvoLTRpq54WAmVwJOcnB1bntKTUqtS2i4Jsjcvq/2uYO2qvPpUTSFTMJjak+vzg5JJi6AXjhlFEfOzdVan3a1iR5GnbzupIUKFTsvHjukMD2bZt2eQPeMD5PIxSu0yz51/g9WNKk4nxO3IAE3DUskPWnz04Qd46vGjnJ2e5Y2zM5TXOzvUP0LAxpLLN1pnUdW3AAVTM6TsNJcgnY4xmMtgmQa6oUpX1x5nZrtyz3cE7YrsxOXHdNnlakWUFwOG9hlkchbBCLhtv399hL4cAfafw5VcpfSQtkPZtwnT2KqEOh2fIJD2+YYpC+L6eohhyQR109x6rGlqFAoJSqU21w8Mbg1FgcFJCzuhUlrydnRnbvmzvWJro9lkPJ8jaVlMDmUpD3lsLLtkCyYffXyKpC3VgWEkuzBJy0ZRFBpOFz8MKbVajOdy/eeNmyYKkr+2WdDVSwGNstzki2MmA7kEk/k8p6eXaVSCngpL4+DQIOuNBrVOd0cHIgq54b2ralu8qmtzvLYj8AQr01t3TSqn37RrAbLTtDp3TbGjQDptEEXQavqYlspgMcHESJqJkQwD+Ti1bodTC4uUax1KK64MjfUiNE1h37Ek9x8c5YGjQyys1zl9YZXyuntd0VEre3zt+Ut43YgolIe1ZNIgZpkM5OMkEybphNUf820iFJGMN0F+JpVln7GDthwPXuziu3KEFEtqxFMaxXGT1dlbE38Vbm78KID1RpNw2zHeiqkk0hrt3gjQTqpoukqsVxRnYjEWFFlk3kr59f3AJx40+Ws/EeMf/2GHF87KdVLXev5gvdvrlYs+P/6kSdxSsE149JDOv3ka3O9P/NJ7Bl2DgazK/lENVYFMQuW5t3x+/Rs3drU+MxPw0ftN/t7PJnj5vM8zb/i7SvHfmg14azZA00BT5RhvIKMyVlTJJVUqzQg/lK9B/r4/YwXPdviO7ICkCpIsun3EqiiyIIq2Rxv1ZNjJvCxwqmUHAUxMZFAUSRqeOpBCCMHDD0xxYGgKP/RZqCxTKrc5unec42OHiYTgef0kC4sVrtS77NM6HDQWSCjQ9QzCMNyRGSOEwG0LolDKzRVFwfMCVhc6dJsyHqPZdEkmLUxL8heiXleoMKFTWwn6HjJ2SiVV0MjkLNI5i0bNZe58e6fySNkmJRZgxhVUTcFpSbKm05Ky+e2EaF2XJ7aV5Sbri46U6SMjFPYdSzMynCEUIbGYQX0Fju2fIJ7S0XUNyzA5v36BSq3F4kodIQSa0UsDz8jndzyP166c5+DUKA8fO8B9B/fyysWznL+0TBCEBJ70zamt+v0IkB1QStJnxVD6SiDpbSOlq54j5beBL99zoxQSz6iMjqdQ6bB4QXKbOvWIfFElmdZpF+TI64b3UO85+o7c13R6mk2XfCGO74esrTYxTY3BoRSWpbEabxJFHQJP8mY6HZ9sNta7LhVSaYtyuX27l/nOlyXkCCI/bN6xUs7rRlK5JZosJCvsHRhgspCntt8hCGs88eAoxbQc063W6zS6XfYWixwYGkQAr8/OUW61WaxUSNkWKdtGVVRpLid6lg9ii3ArhNy8s4M6KctivdFkaa5D4Au6rRARQdwyGc3lqHW6/UKgMGLQboT9zoNmKBSGDayYih3XcLohy1ev9+jRDeWmY792XZrmqX23RFmouX6AH0qZ/aaaTdXg4JEMQ4UUkRaQiydYWWkzOZohm7HQNY2UbbFYqfLW8rI83BiysFOUHv8mBKFHnFlcYiyX5dDkIHvHcpybX+XiJRnM6XsyALi65u+afaX13L2vLRaEkN2xzc+7WQ1oVAIyBUk2X7ois7DKKx6xZIxMQaey6t+SiO17go0Fj7FD9s6SXMD55RXJ3dn2MeuGwsh+i8WLDk7vHoyEoOvL9zScSTO9sUG149xxV/LdRiGt8B9/1OIbr3m8fskHBSYHVf7Tn4gThIL/6fc6tLqCs7MB//RLXZ44ojNa0HjzavB9S9d+N7FZeIQRHBzTOLFHx9AVFjZCKk3B82+5u47yogi+c8pjpRLyMx+3eeKowe98y+HCQrirB1wYyn88X9DqhMz8GUp/v+2CBwGtssyaEtcUf4qi7CCfWgmV9OBWQrWIBO16RCIVoqJStOKstltslNpMHUjzwN5DaIrGhdJF2l6HD524n/0DU1iqRszbYDhhMCdgZr7Ob5VNJvM2H8grLLgKTjekWQrJjUpiZyyl4nYE+WHp2gtIEvOq5JG0qhFLMzIsMRbTqdcdug1BtyW7FIUJnUQ2olmOMCyFqYNpisU4iqIwMBjHMFSunG7h9xYyTVcoThlS/t6IUDWF4qROtxlRXwtZnfGIogqH78uRSGxJTyuVLqVVh+ZGhGZK0unAmMVHHjvOgeJeIhHR8TtoBzSeO/8G515c5djhUYQWUOs0aTadHblR16Ja7fBme4ZLsWUOjI3z5LH7OL5nHy9feIu1UhWve3O3a4Q88Ueh2K6Ro82Nb4zQEzTLIc2sy8SeDL4XsTbt0a6FNBoOlqWTKmq0a1E/gFZeOD1ZtZCbUbce0YqHpAd6hFdLJ4zkSGtmuizNI7M2uVwMszfYHhpOya6PLzskm92zTbRactyymz/KbvAcaeh3KxiWQmHEpFGRYyLNUFhf8EikdSxDvtalWo2W3+XI8SxHJoYAhY7nUe10eHBykmIqidLb9kayWUrNNuvVFrX2NOm4zZ5iEYB2o0eKVSCZ1Wj0zObSeR3TUql2OtTqrszgQkqnl6a7BP48hqXidLb8YsyYTP5uVAIqKx6gkBs2MAyV+8bGaHseprHO7MV2n0yt6TBx2GbxstMPeM0UDZx2SLsRUl72AMHAhEU6ZrO3WMTxfa6ub1BbC/rZYJatMjIe56mH95KOxRBCEIqIvcMF3ryyxPOvz3P/0UFCLaDe6dKo+n3H9M0RnBVTCUNBfUNK9y83SyyXGhwcG+ChfeMcHC1yYWWN+YUGKzPOLUdoYSDH4u4trASEgI0Fl3hKJZmTRc/KtEu7FuJ2I+y4Sn7IuK1rp9OUBpWmtbO9GdxktzMtlfFD8vM3bRUFaLvy90SRIAgjmtXgjpRa7zQMHT5yn8mrF32aHYGmwS98Nka5Ifg335Aj1M9/yOQLH7EYyKqU6hGpeM9NOYJvv+Hx7Tc8DJ3r9pv3AywTfunzcQ6MaaxWIuptwa99tUutJbB628Tt8JaEgAvzIf/9b7U5vkfnzz1p8YGjEd846bFcvnWC/Z813H7B08Nm5WjGVQxboVOPttrhCsTTKrkxvR/0KQR0atIQrlhMcGz4KIPxPKxeZFarIBC4oUsQBeiqzhN7HiZpxNH9Gs3KDPOdCg1/c4GTPjfnWh7LDZt0xkYIMGMKlqUzti9Dc8Sl0/YZGEqgabK7UyltGaKJUFCa92lsNLESCqEncFqCZKGXyN0jYFsJGUxZrznk8zE0TaqR9uzLYRgaF16v43Vkm1vTJTm324z6vyeRVbGTMijV90Pm52pMTWWJ94qeesWlvBAghMxs2n8kx3hhmNHMEJqqoaGR0WTL5rEDJwg7Gq+/uoAfSQv7zc9303AsCiUfYHNDMKwIIxbSTfhUahdZr9b49EMf5nMfGGBuY5kzxWkuXFijth7ckTHfzdAsR1SSsnO250CGwK/S2Agl10T4fSJ5Y32ry6PpkrsThtCuhLhtQacuSBYgEdfZsyePiAQrKw3qdUlcHhpK7fi9liU5UptZWZa11R4SQtBqetRWwh0corvGTYz0TFth/FAMOy49VlZmXBACPaYyPJDsmxkOplMsVCq0XY+O55GybWKGwfGxUTZHbm7gU+90Wa7WAMk58URITXQ53V2UXi62lCfL8YZFYdTE70RYCblhthyX8trOkVF9I6BVDbFiKp4jOwN2XMVOqJJjM2iQyGgsX3Fo10PSeYVSq8WRkREKySQJc5G3TlcJA+mfZFgq6bxOecUnDAS5QR3dNCWfpeTTqoYkMiExMyRmmjQdR6ozF+SYZ2Dc5PjRIodHhkjakjCvKAp6z9jn+J5hvG7EK6+t4Prymo9CcT1Jc9t3oqjy37rusDzf4cTxNo/sm+SJ/XvZO9DgXG6di+drtx25cCt4jhxjjeyzyRQNPCeivOzTaYY9g0ed2rp/XQK9HVdRNOnmHkVSmVdZ8RnaY91w8KprKoVkkiCMKLdagOy2DkyYfZm61psFtz2XVtOnvPz9a4kYOvyNz8X5xEMmv/LlLn/yooyDWS5HTKgKB8Z0fv7HYhwe16i3BV96zuUbr3ms3CCm4mY8nx9mJGMKf/FHbD72oNnn4vgBdFzBHz7rsn6zg+guCEI4dTVgbi3k7/yFBPtHNE5NB7zwln+v8NmGOy54QI56ipNy9KCbUF8LMWMqqaJKPK2ibHdY7sjRRiGtYxkWhXgeRdWZSGU5n7YobbR5RT/DiakDDKeG8AKPhfIV5kqrTJe7OG5IEES4TojX2TIsCz0HTdewYxqqJqSap+6Qy8cYHEr2f3+l0pVt84dStGo+rZo8YXqdCK8jH6MZ0kNnk/Qp+SqSfOl5ASsrTTIZm33DY+zN7aFSrKKpZzj7alnyWhSwEwpmTMV3BLqmkSvaVCodEln5YRimimnJj1sImRe2eWIuLXrkcg4PTRRJmluvfROFZI7PPPkkjx07wsunL/LqazO0a8H1N8U1Uk5Vl9lWuqEQuRvMjC2yd2CcvUPjDGRzHJpc55kX32TpSvcdicFobISU0m2m9uSY3J9mPdna0YVKD2j4XdEvPnRTEuENBay4lI9HgeT4tBs+S4t1QI6pgB0dsi1I8rXbEagauO7WZiaEPD03y7tnS90ONENhZK+Fbkh1k9OOMG2FdEEnU5QjIJBFXODJMUt2UMPQtX4sSz6RpJBMstFo8tbSEsfHRknZNkEY0XIdlqt1Fkt1QqVnolkNaZYDqa5SIFPUyQ4amDG1x6+RBYBhKIxNZKl1uniB/FndlF0AryvoNkPajYAwEDsk0fkRg1hCo7YhN+mRvTajB2w2FjzsuMpyrc5wJsNgOs1HHtiHosxw9lRFujTrCplBg9qGTxhIXo5hqcTT0mlb9Byyk5ZF2rYRQnCqtd4vwuoln9KGw9HRG/NM4pbJhx6c4sSBIU5fXOP0uXUc/waFyraJz+Y1HPiCyqrPObXMeD7HUDbFSDbL4ANp9o9Wefn0Iosznbd3QfTQKAWkCwHJjM7AuEU8rWGYPaGFoZAq6DidneSTgUmTZEbH6cjMq0Y5kOaScZVUTkr8w0AQhgI7pnH/xASDqRRNx+HFq1eJIvl3lWVfqhsTWn+sb2hav0v1/UI2qfLB4waGDo8f0fnKyy5RBL/9LYeP3m/y5DGD1UrIV19xeeNKwMZdbPDvJo7v0XnkkM4rF3wuzL/zbbIHD+j82GOy2NmEocPnPmjxweMG33zd44+fd++KNFxrC555w+NHHzXZN6IRtxQqTcE3XnPf9xyo28EdFzyKCrkRnaHhZG/BlVLMsakUuq4QBDIOoFrrguhZ/cclibHTdXB8h6SVJK+GDBbi1BoOi0s1ao0zpFM2rZZLu+PJ0UQvIVvTFLqNiMZGSNg7uNS1EKcjXWDjaZVuNWRjtk5xvMvBw3lMS8fzAuq1LqqmMDAc48lDSQ4pLt9eDnnpzRatWoBhyyJNkhRlppPvCulPM5ikVGpTr3VltlJ2kqSVxI98Hj56AMf1KW90MAyVIIjIjWo4rQjDVCkWExiGxvpakygSeG5Iu+2RydiSpCrCfoHitCKunKvjuC/x4OH9HBrbQzaW3vm5KwqD2Tyf/cgTHD0wxrMnz7JRalHbcLfcfa+5P6Jgixzcqjj8zuqLTE5luP/IHk7s3c/xiQPoqs4f1F6ifhOztNuBqitkhzVCX+A5EevrLSYnsxiGxspKg7A3ZlJV2T3bLHi2nzqUHjlcNaG6HNFpRFQSAYYplYF2SsUbvX7x8f2IRs1nYzZA1SAWlxu+qsqOXCwupelvN22+OGqQzuugQH7YoF0PGZw0MUy1XyhHkehHBqgaxFMaXc8niiJUVXJapgoFNppNqu0Or0zPko7ZdDyv9ziB2+0lwwuF2qrsDkSRVEc5bY96KZCyd0VhZUZ+94VRE1Vt9a0S2vUQTYNsweDwyDDZWJwLcxucOr1OqxH0u0MoUlZeWfV73RGBZasUx02a1YB8Nk4+IXlGuqry5Ikp2h2P9fWuHEnFVHJDJrV1v7/J9/VC6mbHKqDr+2w0m/jbevSeI7h4rkrH8Xjg6DCj2WxfjbbtqiCTjPGRR6Y4uKfAG+eX2Sh3KJduPZoCKC17/PGfXmRsPMmxA4PsG8mzZ6iA+bDOv9+4RKf19tsHUQRrcx72UU2aLWZ2Lqnpgk5lxesf1BSll4iuQCyhEUtoJNIaM2c6rEy7bBiePDi5EXZCY/+xJLm4HKlrqsome7JRCmg3QjrNkMyATqPbBcSWD9Vd+ti8E6i3I9ZrEam4xt4RjXxKjqyCAJ553eOZm3RK30kM5lTqreiOuT+qCj/1UYvHj0gC/fRKeFsKqDvB82d96u02f/mTNif26luFjwKDWZW/8HGbj95v8jvPOHzntEdwJ5epgG+c9PjOKY/HDht84SMW40WNbFLht5+5F7VxVx0e3VDJF+LS+r/hYhgR6YxFPp0ijEJana7kTkQC09BIx+V4KZ+N4wQuSStJ2xzAsJaYGMszv1Ch2XBoNhwMQ6OYyWCbJplEgphlU8xkZSieL6g12tQ6DRZXN6g122zM+VI23pIE4VYyoFLtMjiYpFTq0KqHKMDiQg1lJMXYoM4TEzpu0mZlqUU8rnN8Ygg18pipOqyWavh+SDIllRphGGGaOvft3U/aku/vzNIFCskcT95/lFPTlwiCkGq1ixVXsOIarucze7XGnv1y019erhMGEaurTVRVwXdlsbbdgbdbj1hb7PBKeJ6Z9UUeOniIyez4Dn8ckOGRB0YnmfrsCKuNdb7x0kkuvtG45VgqCgWtqs+5WomrlypUn2rziUce4dDYFB9+osrXv36OwLv7uyGWVqWCrxqiGx6VSodCIUHgh6yuNvuPs3qk7iiUxaXXFf0oiU0omuQFdbbxfXRL2UFO30S369OuhUTBZlJ0QBBEfbVWPKkTS6u0K2/vpKZqCoamoWsqotjLnzJ1RrNZcokE55dX6LgeuSGD0ckYMcuQHaCYfY1ATJCyZJHjBQGlZgtdU0nZFgnLQs2rJG2LbDwOJxQaHemtVK51WV5vUK52ewRj6WoNMlk70wub9NyIjUUPw1JI5XQWKhXSYzEeOTyOYcP0QpVc1ubg2AACwUazSWc0QrfoK5PsmEo8bnN4eKgncxZcWF1lJJPhqYf38vrsPF5vB88O6LRqAZVVn3hKI13Ud7zdpuNwcmaWTjegXt65c/ieYG2ly4XsKguVClOFAmO5HIZ2rT+BwnAhxac/dIiO5/HMq1e4fL5xWxt6px1y+WKd2ZkGjz86whPHJxkppHns4WGee2HpHemEuJ2IjQWP4b3Wdeo005bmk+UV+d6FgEYlwE5u+RSpmhQF0BtvBf6mW3WErqr9cZWl66RiNtV2h1Yt6D9ftxVS7XTwwxBNVYkldHlQeBciaRQFbFPB9XeOFxUFEraCrkn1z6aqyPN7NAFLwQukzcemy2I+pZBOqKgqHJ3Q2D8qr+G5tZC2K1gqhSysR3dlJuh4AkOXrxNkIfPoYQPbgPPzIaX6jcc8EwMqx/fo1NuCP33FxfPBNMALeMcKSCHgzHTAf/0bbT5w1OCnP2axZ1jrXzuKAmNFlf/iC3E+/qDJH7/g8uqFO6u6PF8WVl1P8Pf+UoIvPmVzfj7g5MX34YzwDnBXHB7PkbyUWMxgz94cCSPB4aED5OJZ3MDlrbXzGAc0hICDA/sZy4z0pLQCQ4YnETNiPDb+CFEUsTy4zjNvnMRxPPK5BP/Rg0+QsdPXbHDylBuMBGiqhuO7fOONF6gsLUtZbU82HU9pZDI2rhOwvtShPB+gGTJQcnmjzVddG92Qj9l/KEda0zgxfh+mbnM0Cqisn+PK+hKztYCFSofAD9kzMcDBwX0oioLjO5RrDVotl0+e+CCdsE2pWaHZ8gh8mX+FAC/w6XQ80mkby8rTbnnU6w6L83XKiwHNyvUjqU4jIj0gKJVbvKleZCG3wqGhvQynhvqf2yYMzWAkPcTgUIqrRoMbdftv/AXKBfq7z14mm0py/4EDPHniBJ2uy3Pfu4rv3nnRszkG1E1IFjXCUFDaaJNImKTSNqVSp+80rVsyK6xVlvlq9bWQwsQW5wuuN2JTdYXMgEEquXOkFUWCcqnTz3UD2bHYbgqZSlukB7Qdj7kbeN0IPwzJxuPkEgksXWcinydhmYBCyrZZbzSwDINcPN4nKquKgqVHoIS4vkYxlaKQTFJtd3hzfgEvCIiZJo/t3YupX3875tNx+R+TMjvu9asLPPfscr/Doahy1AWbqjKv5/cC1aSPbqicnJ3F1HRipsHHHt6PqigUknJ0OlUscGCww2K1ynqjietLXtlwLsVgOtV/3qbjEEYR90+Mc3B4kLeWl0HIseT4IbvviG7pOpEQknDb6zI02x6Ll7rXedCA3Kw7jRAl7XF+ZYW1eoNDI0NkY/HrClxFUUhYFkODcaYvNe+oWPE9wSuvrmIbBvcdHOahQ2M4nZCTb67eddGjqtJE0+1E1Eo+qYLW7/CI3nuLJTRyw4Yco/ek/ZVVOb5K5/V+6rxuqP1OqHyvUBg1ycTj/YJH1zTSts1qqbXDmVqEEIQRYSSwDJ1MwiI35LA+/87OMHIphb/0IzaPHDI4edHn//5Kt8+x+czjJj/1MRtTl0VPqneIGS2o/NP/LIUXCF654PMrX+kSBFKC/Ys/HueDx6V/lN6rcbuuwPGM3vuVI5q//1st5tfu7P5ttHd+pzFT4W/8ZIyBrEqtJcc+X33FZbkc9Qs3Q4e/+ukYqbjC2ZmAeltg6PC3vhjnd7/lMrf2zo63uq7g2296vH7F51OPmHzuQxbF9FaIq67Do4d1qdq87N+V+eIblwP+yZc6/NUfjfGLn43TdTu8NXcDOsSfEdxVh6fbCqlWusTGDGKWxfHhI2RtKTf3FR9NVRlODzK7scxavcRoZgRDu/5XBVFIrVPHj3xsS8dxPCrVNm/MneXA0BSqohOGEU2nxVq5ShAF+IrLaHaQ+yeOkrBi/dY5CGIZtd8JWFtrUVkOCH1BqqAxOZUlkbAIgpClpTrlUods1mZi2CLVmcNNH8HUTPYM7OdRq8OVfJc/uNqgWg9RVIh6BAFN1cmkY6ys17m0MS3N3ZYbRGGEbRsUCnE8P8QwtH4QqWXp8h9b563XyzuLHaVH1jQUTFslGY8RS2jUGw6KqnBRvcxKc4WR1DC5WE5KkxG0vQ4bzTJraw2Cu2i5Op2AL/3Ja5w6NMvDJ/bykYfuJ5tM8e3n36JWcre6T7dxY4hI4LQjkqY8raFKz6X19RYTE1myOZv1tTYIKAzEUXDoNqViy2lGrF31iWckCT4KoX0NedFKKBQHY+jGzpN/t+NTWXO3pL+Cnp/R1ouOxw2yeZNq4u2dbFr1kCGhcHhkiJRtc62vT8KyGMvlOLe0gucHTBULKIqCqgiCSCWKeuTySND1PVlYhFIV1HQcLqyssHeg2FdpNbsuG7U2USS5MZmEzVg2R8zcWfgmMxqxpNwQO82wr8xKF3QOH8xzcHiQjVaL6fUNanWHbjfg2MQwYnP8gUIukSCXiFPvdHn18jzz8y1GclufoaLInK3ZUom1emPHJaGqCqalYPY6RFOFPCv1Oh0RkY3HqbTabCy616XFKz2/KcvWMEKDXMKm2ulQ6bR5bWaOA0ODTBUKBFHY50AFUUi13WFlrXXzLL5d4PsR331hnpnFKscPDfLoiTFymRjfeWEOp3vnu4kZU5k8GsPtRJSWPJrVkERmq8NVXw9wkxG5QYOhPVJKvnk4WLnqUlnxiSXlAeHarDYrrpLMamTisf6fCSFouy7V1Z2bn+dGPfNE2QEeyWYpDXSorLyzs5hjUzpPHDHIpVTitrLDifj8vKQX5FNbVgQgv+dqK+LsTMCFhS0unR/Ar361y+kZn4GsSrUhaHQFlxdloQFwYFTj7/zFBAMZ9Y4KHkPnukwwL5By94/eb5JLKXzxIxafftTkK6+4/NY3HTyfLbsHJA8pbik0u4KnX/MI3gFhx3aoqkwHCEJp8PfvnnX5zimfH3nIZM/wFrlnoyb42qu7y9N3gxDwnVM+p6cDPnzC5Gc/afPcGY+vnfTedffqH0TcVcHjtQXtjofvh2DA2bW3SBhxYkaMmlMnCAPKbo0zr5aw4hUMQ2MgWQAgaSXIxaSRmhu4vHDhTa5eqNIsh1hJhewQnLu8yKWZFdxOhKIJGhvSw8WMKwzs0Vkwy3S8LuvVGoEnMOOSMJwZ0ognDHnyX3Ok9FaBdMEgkTAZywxT7lTI53zOvVFh6ZJDZY/N/AE4Op5gLDuJo6dYyn2AVKrJwPrLzF3pUEo1ma8vcqh4AEszKabzLK/VeP7UWUZGUpiGhoibTExINY7WG8pu7zQEQcTiXINaTx6v6goDYzZH9o8xVMxSzGRoR0084dD22iwuV/A8OZ5peW0ula6wttLuK0x8P6RW8qiX/LtWWXlOxIUzG1y9WObwiVk+//EPkc8l+OrzryII6TZF//XuCgGN9VByobbVJK2WR6UsR1u1ikOnFchrYShOfd2n3jsxBe7uIal2QiWZsm70a68LBRWRwHVDbFsWBoqiyIiJt+nBFniCwI84v7zCI3v2oN3gCUvNFq++uoppqfz4x21yiThdL8DSt/Kqgijkzeklzp4q4zoRmq4weSTGUrXGcrXOyrQ0y/P9CKcTousKe07EsWwVx/NZXGtsnUgthcFJC0WRppiVFa9P3E1kNIayaXKJBOlYjPV6g9lzVRZch42NDscODnB4ZBhd1VAVgaYJMvE4mXiMdq3G0nqDg0Nur7iDgWSSmY0N3pxf6H3O8hvY3oWJhGC2VMbQNCIhqLTa1Es+9Y2g913AyFicPeM5BnMJkgmTRMzEjwJqnQ71brf3vQpURaHre7xwfqZfxAVhSL3u0aze2En5tr5HXzB9tcHcbJM9+1P8yAf286lP7OU7L85iWAqtnqz8duB2IuqlgPyQwcThmCRq9/5OQcZPrM65ZIoydsNOqP3CT3Kyrnde3kQspaFqSv/zB9lla3Sd64q9TS+ezc9kOJPmkrl2Y+fyt4Hn3/I5NxcwnFeZXY12bJjTKyH//W+3GS2oGLrMo/rIfSaGLtVZv/rV7nVcmI1axFdeunkX6s2rAf/Vv2yxVrv9YkdV4a/9RIyLCyHfOLn13H4A/9sfdig3BF98So4ek3GFz33Q5unXPBbW5fv5/e+4PLjfYLSgcmKPzovnfF679PbHQAfHNe7bK7fbc3MBV5clpaHv9CHk5/F7334Xcs0EVBqC//CCy3dOefzXfzlBOqHyu992/sx1epTdvFzu4R7u4R7u4R7u4R7eD7iBkf893MM93MM93MM93MP7C/cKnnu4h3u4h3u4h3t43+NewXMP93AP93AP93AP73vcK3ju4R7u4R7u4R7u4X2PewXPPdzDPdzDPdzDPbzvca/guYd7uId7uId7uIf3Pf7/KWmn/QLwTo0AAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–12\n", "\n", "segmented_imgs = []\n", "n_colors = (10, 8, 6, 4, 2)\n", "for n_clusters in n_colors:\n", " kmeans = KMeans(n_clusters=n_clusters, n_init=10, random_state=42).fit(X)\n", " segmented_img = kmeans.cluster_centers_[kmeans.labels_]\n", " segmented_imgs.append(segmented_img.reshape(image.shape))\n", "\n", "plt.figure(figsize=(10, 5))\n", "plt.subplots_adjust(wspace=0.05, hspace=0.1)\n", "\n", "plt.subplot(2, 3, 1)\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(2, 3, 2 + idx)\n", " plt.imshow(segmented_imgs[idx] / 255)\n", " plt.title(f\"{n_clusters} colors\")\n", " plt.axis('off')\n", "\n", "save_fig('image_segmentation_plot', tight_layout=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using Clustering for Semi-Supervised Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another use case for clustering is semi-supervised learning, when we have plenty of unlabeled instances and very few labeled instances." ] }, { "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": 51, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import load_digits\n", "\n", "X_digits, y_digits = load_digits(return_X_y=True)\n", "X_train, y_train = X_digits[:1400], y_digits[:1400]\n", "X_test, y_test = X_digits[1400:], y_digits[1400:]" ] }, { "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": 52, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LogisticRegression(max_iter=10000)" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.linear_model import LogisticRegression\n", "\n", "n_labeled = 50\n", "log_reg = LogisticRegression(max_iter=10_000)\n", "log_reg.fit(X_train[:n_labeled], y_train[:n_labeled])" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7481108312342569" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg.score(X_test, y_test)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.906801007556675" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# extra code – measure the accuracy when we use the whole training set\n", "log_reg_full = LogisticRegression(max_iter=10_000)\n", "log_reg_full.fit(X_train, y_train)\n", "log_reg_full.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": 55, "metadata": {}, "outputs": [], "source": [ "k = 50\n", "kmeans = KMeans(n_clusters=k, n_init=10, random_state=42)\n", "X_digits_dist = kmeans.fit_transform(X_train)\n", "representative_digit_idx = X_digits_dist.argmin(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": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–13\n", "\n", "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\",\n", " interpolation=\"bilinear\")\n", " plt.axis('off')\n", "\n", "save_fig(\"representative_images_plot\", tight_layout=False)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [], "source": [ "y_representative_digits = np.array([\n", " 1, 3, 6, 0, 7, 9, 2, 4, 8, 9,\n", " 5, 4, 7, 1, 2, 6, 1, 2, 5, 1,\n", " 4, 1, 3, 3, 8, 8, 2, 5, 6, 9,\n", " 1, 4, 0, 6, 8, 3, 4, 6, 7, 2,\n", " 4, 1, 0, 7, 5, 1, 9, 9, 3, 7\n", "])" ] }, { "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": 58, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.8488664987405542" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg = LogisticRegression(max_iter=10_000)\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 74.8% accuracy to 84.9%, 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": 59, "metadata": {}, "outputs": [], "source": [ "y_train_propagated = np.empty(len(X_train), dtype=np.int64)\n", "for i in range(k):\n", " y_train_propagated[kmeans.labels_ == i] = y_representative_digits[i]" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LogisticRegression(max_iter=10000)" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg = LogisticRegression(max_iter=10_000)\n", "log_reg.fit(X_train, y_train_propagated)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.8942065491183879" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We got another significant accuracy boost! Let's see if we can do even better by ignoring the 1% instances that are farthest from their cluster center: this should eliminate some outliers:" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "percentile_closest = 99\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\n", "\n", "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": 63, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9093198992443325" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "log_reg = LogisticRegression(max_iter=10_000)\n", "log_reg.fit(X_train_partially_propagated, y_train_partially_propagated)\n", "log_reg.score(X_test, y_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wow, another accuracy boost! We have even slightly surpassed the performance we got by training on the fully labeled training set!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our propagated labels are actually pretty good: their accuracy is about 97.6%:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9755555555555555" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(y_train_partially_propagated == y_train[partially_propagated]).mean()" ] }, { "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": 65, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DBSCAN(eps=0.05)" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.cluster import DBSCAN\n", "from sklearn.datasets import make_moons\n", "\n", "X, y = make_moons(n_samples=1000, noise=0.05, random_state=42)\n", "dbscan = DBSCAN(eps=0.05, min_samples=5)\n", "dbscan.fit(X)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 2, -1, -1, 1, 0, 0, 0, 2, 5])" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan.labels_[:10]" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0, 4, 5, 6, 7, 8, 10, 11, 12, 13])" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan.core_sample_indices_[:10]" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-0.02137124, 0.40618608],\n", " [-0.84192557, 0.53058695],\n", " [ 0.58930337, -0.32137599],\n", " ...,\n", " [ 1.66258462, -0.3079193 ],\n", " [-0.94355873, 0.3278936 ],\n", " [ 0.79419406, 0.60777171]])" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dbscan.components_" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–14\n", "\n", "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,\n", " 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],\n", " c=dbscan.labels_[non_core_mask], marker=\".\")\n", " if show_xlabels:\n", " plt.xlabel(\"$x_1$\")\n", " else:\n", " plt.tick_params(labelbottom=False)\n", " if show_ylabels:\n", " plt.ylabel(\"$x_2$\", rotation=0)\n", " else:\n", " plt.tick_params(labelleft=False)\n", " plt.title(f\"eps={dbscan.eps:.2f}, min_samples={dbscan.min_samples}\")\n", " plt.grid()\n", " plt.gca().set_axisbelow(True)\n", "\n", "dbscan2 = DBSCAN(eps=0.2)\n", "dbscan2.fit(X)\n", "\n", "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()" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [], "source": [ "dbscan = dbscan2 # extra code – the text says we now use eps=0.2" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KNeighborsClassifier(n_neighbors=50)" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.neighbors import KNeighborsClassifier\n", "\n", "knn = KNeighborsClassifier(n_neighbors=50)\n", "knn.fit(dbscan.components_, dbscan.labels_[dbscan.core_sample_indices_])" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1, 0, 1, 0])" ] }, "execution_count": 72, "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": 73, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.18, 0.82],\n", " [1. , 0. ],\n", " [0.12, 0.88],\n", " [1. , 0. ]])" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "knn.predict_proba(X_new)" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–15\n", "\n", "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": 75, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-1, 0, 1, -1])" ] }, "execution_count": 75, "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": [ "The code in this section is bonus material, not in the book." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Spectral Clustering" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import SpectralClustering" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SpectralClustering(gamma=100, n_clusters=2, random_state=42)" ] }, "execution_count": 77, "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": 78, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[1. , 0. , 0. , ..., 0. , 0. , 0. ],\n", " [0. , 1. , 0.3, ..., 0. , 0. , 0. ],\n", " [0. , 0.3, 1. , ..., 0. , 0. , 0. ],\n", " ...,\n", " [0. , 0. , 0. , ..., 1. , 0. , 0. ],\n", " [0. , 0. , 0. , ..., 0. , 1. , 0. ],\n", " [0. , 0. , 0. , ..., 0. , 0. , 1. ]])" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sc1.affinity_matrix_.round(2)" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "SpectralClustering(gamma=1, n_clusters=2, random_state=42)" ] }, "execution_count": 79, "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": 80, "metadata": {}, "outputs": [], "source": [ "def plot_spectral_clustering(sc, X, size, alpha, show_xlabels=True,\n", " show_ylabels=True):\n", " plt.scatter(X[:, 0], X[:, 1], marker='o', s=size, c='gray', 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(\"$x_1$\")\n", " else:\n", " plt.tick_params(labelbottom=False)\n", " if show_ylabels:\n", " plt.ylabel(\"$x_2$\", rotation=0)\n", " else:\n", " plt.tick_params(labelleft=False)\n", " plt.title(f\"RBF gamma={sc.gamma}\")" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "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_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()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Agglomerative Clustering" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import AgglomerativeClustering" ] }, { "cell_type": "code", "execution_count": 83, "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": 84, "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": 85, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['children_',\n", " 'labels_',\n", " 'n_clusters_',\n", " 'n_connected_components_',\n", " 'n_features_in_',\n", " 'n_leaves_']" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" } ], "source": [ "learned_parameters(agg)" ] }, { "cell_type": "code", "execution_count": 86, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "array([[0, 1],\n", " [2, 3],\n", " [4, 5]])" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "agg.children_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Gaussian Mixtures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's generate the same dataset as earliers with three ellipsoids (the one K-Means had trouble with):" ] }, { "cell_type": "code", "execution_count": 87, "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": 88, "metadata": {}, "outputs": [], "source": [ "from sklearn.mixture import GaussianMixture" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "GaussianMixture(n_components=3, n_init=10, random_state=42)" ] }, "execution_count": 89, "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": 90, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.39025715, 0.40007391, 0.20966893])" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.weights_" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.05131611, 0.07521837],\n", " [-1.40763156, 1.42708225],\n", " [ 3.39893794, 1.05928897]])" ] }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.means_" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[[ 0.68799922, 0.79606357],\n", " [ 0.79606357, 1.21236106]],\n", "\n", " [[ 0.63479409, 0.72970799],\n", " [ 0.72970799, 1.1610351 ]],\n", "\n", " [[ 1.14833585, -0.03256179],\n", " [-0.03256179, 0.95490931]]])" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.covariances_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Did the algorithm actually converge?" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 93, "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": 94, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 94, "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": 95, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 1, ..., 2, 2, 2])" ] }, "execution_count": 95, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.predict(X)" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.977, 0. , 0.023],\n", " [0.983, 0.001, 0.016],\n", " [0. , 1. , 0. ],\n", " ...,\n", " [0. , 0. , 1. ],\n", " [0. , 0. , 1. ],\n", " [0. , 0. , 1. ]])" ] }, "execution_count": 96, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.predict_proba(X).round(3)" ] }, { "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": 97, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[-0.86944074, -0.32767626],\n", " [ 0.29836051, 0.28297011],\n", " [-2.8014927 , -0.09047309],\n", " [ 3.98203732, 1.49951491],\n", " [ 3.81677148, 0.53095244],\n", " [ 2.84104923, -0.73858639]])" ] }, "execution_count": 97, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_new, y_new = gm.sample(6)\n", "X_new" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 1, 2, 2, 2])" ] }, "execution_count": 98, "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": 99, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-2.61, -3.57, -3.33, ..., -3.51, -4.4 , -3.81])" ] }, "execution_count": 99, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.score_samples(X).round(2)" ] }, { "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": 100, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9999999999215021" ] }, "execution_count": 100, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# extra code – bonus material\n", "\n", "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": 101, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cells generates and saves Figure 9–16\n", "\n", "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(\"$x_1$\")\n", " if show_ylabels:\n", " plt.ylabel(\"$x_2$\", rotation=0)\n", " else:\n", " plt.tick_params(labelleft=False)\n", "\n", "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", "* `\"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).\n", "* `\"tied\"`: all clusters must have the same shape, which can be any ellipsoid (i.e., they all share the same covariance matrix).\n", "* `\"full\"` (default): no constraint, all clusters can take on any ellipsoidal shape of any size." ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–17\n", "\n", "gm_full = GaussianMixture(n_components=3, n_init=10,\n", " covariance_type=\"full\", random_state=42)\n", "gm_tied = GaussianMixture(n_components=3, n_init=10,\n", " covariance_type=\"tied\", random_state=42)\n", "gm_spherical = GaussianMixture(n_components=3, n_init=10,\n", " covariance_type=\"spherical\", random_state=42)\n", "gm_diag = GaussianMixture(n_components=3, n_init=10,\n", " 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)\n", "\n", "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(f'covariance_type=\"{gm1.covariance_type}\"')\n", "\n", " plt.subplot(122)\n", " plot_gaussian_mixture(gm2, X, show_ylabels=False)\n", " plt.title(f'covariance_type=\"{gm2.covariance_type}\"')\n", "\n", "compare_gaussian_mixtures(gm_tied, gm_spherical, X)\n", "\n", "save_fig(\"covariance_type_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – comparing covariance_type=\"full\" and covariance_type=\"diag\"\n", "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 2%, then you can set the density threshold to be the value that results in having 2% of the instances located in areas below that threshold density:" ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [], "source": [ "densities = gm.score_samples(X)\n", "density_threshold = np.percentile(densities, 2)\n", "anomalies = X[densities < density_threshold]" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [ { "data": { "image/png": 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i4PQTOLAvCk4HkxWccvDa0zq0JU7GvDCW8N7+HTo8W6WDLd8cY++CEwy/vhfWqVM7NM7FlFXMqZ+2U77rBKHT+sPwycgCugugtRbb7/+HV1QgEZcO8cj+ls/8AB/zmTitZ5+ewbqJvT2y72666Yq4HE4qDubhfWAXx9YWIAiQNDGC5PMjiRoQdE6mane7kE6zfkslV99RyJNv+DPkwm7x0hjB/zMQ85LeXZBOALTTvUEi4HKJLJpv4pN39Fx7iw8+10xAKu84k7woiqSvOMWa9w4RPSiI1P/eij3Ep8PcNIbDeeTN34bpeBGRlw1FddnVSLy7g+rail1vxifVc59jVnww8bll+BqtzP7qFnJju4Onu/l7I5FJ8RsUB4PiSL1RpDKrBMX+bSx/fT+VOivJkyJJuSCK2CFBf4s07X+MgFm62sQtDxbxykeBDB/zz/ERthibi/5D85Hpz1jmXHI4tDEMR4SCUycd/OtJLZWVIld+ORH/Di5IV3LcwIp/78estxHz2KwOSbmFKtGk35ND3rwtWEsqiLpqOD633IIol3fHt3gIW5kRRXDrWiZUM3RnFv96YzFX/+927vnweryNFirVSs+6prrp5hxAEATUPUNx9byExMvAfEqL794trHn/EIYiMykXRNJ7ShSxQ4LP2RTtf4SA+fVPI/c+VczbXwXRb3C35aUx5Ln2WuKl5Dpvcl8PwuUS+eX7Cj57z8BNd/ngfcWEDlXwVqOdjZ+mc/DPXMbdmULF+CkIHRCIKYoiuu2Z5P24FafZhveUC/AbPgCHVMq5+ZMHZ4UJ0+ZdqMcMRerTdVJVLfk6VOH+rd7+lu82cOuP2wD49OEfue6b26nUdN+sdNMNgFdUILao6fSYXvVb892zmZVvH6RSayX1wij6XBRDeKr/ORUz87cXMPMXVfDYSyW8/10wKX27C9TVh0TnIGBxJWU3+mLvqcQaKUGqFzm4IxxRIyM/18HLj2uxWESu/mYimh4dZ3URRZHDS/NY8/4heo4Jo89nt2MMULe7eBBFEd3W4+TO3YLocuE9ZQpeQ/r+LQrPmTbvonzBUgB8p47v5NFU4ao04zTbUAS3rg/RhX8dcIsXANff4Hvqppv2QhUZgC1yOr2mVzWQle/YxG9P7kSQCvS9KIa+F8fgH911bm4a4m8tYOb+YuCpV0v5cG4wvZK7xUt9xN1fStAfZkRAWi5S/IAfh7dGAVWT+K8/GvnkHT033umD95UTOzQIrOS4gb/e2I+1wk7Cs5ejTo1q92OKoohu23Fyf9gMInhNvRCvgal/C+FSjXrM0Fr/uwK23AK840NaZcp+9IPlXLb0gHt52+B4Hv33VZ4cXjfd/G3xjg1CjJ1JyuUixiMFGLds5n/XryO4hw/9Z8SSMiUKpbpj63k1l7+tgPlxYZV4+c/cEHokdc0PvzORZ1vpM6kYibNqWQCU2WdqcBTmO3jlCS0VehdXfjURTc+Os7rYKh1s+vwI+3/P6TB3kSiKlO/M4uR3mxCdLrynTcVrUJ9zypzaXKQ+6i5jeanGq/wokqTwFm93w9zNtcRLemJYt3jppptWIAgCPr0jofeVDLjRiW57Jhnrt7Pq3UMkTYxgwKw4YgYHdalr4t9SwPzfbxU8+a9u8VIvokji1cX4bK/TBuCtALRXaxBFkSULK/nw9XKuuVmD37UTOyzWRRRFjq0tYOWbB4gZHNxh7qLyvTnkfrcRh8mG+qIL8Rr893AVnUtUpOUTNCaxyfXUJiufPziXOz+8HpNaydYRPbj9hy1IRZGfLxnEh/dN7oDRdtPN3xuJXErQ2CQYm4SvzoTf9vUse3UfolNk4GVx9JsRhzqo8+NJ/3YCZtFSI4+8UMKHc4O7xUs9hH2sryVeLDES0tZHgFRCWYmT157RkZ/r4LJPxhOQ4t9h4yo/ZWLFvw+gyzUS88gl+A2Ma/djVqTnk/PNBmwlBtQXT8V/+IAuL1xEpxOXyYzLbEG02cAlgkSCoJAj1XgjeJ97hRlFUaTiUB7xd05sct3R2zNJOFnGTzd9zj3vXsvxxAjeuv8CTsYEcmBA+58z3XTzT0MRoMY89SKSLhSpSMundO1GPp+5koTRoQy+MoHYocGdds35WxWyW77GxJwHi7oDdusgmJzIC53YelZ9JoPic0GEzK8CMUyuCtRas7ySfz+nY8aVakLnTOyw3hpOu4sdPxxn23cZVcXopk1DIm/fY5tOlHDyfxswZRYTc/1obL3HI0i7Ti8R0enEXliCPa8Qe34RjqJSHCVaHNpyXKZKJF4qJN5eCAo5CBJwuXBZbbhMJnC6kIWFoIiNRJmUgFf/FKS+bUtNbm/s+UVoP/6KIT/c1eA6L76+mHHbjqO32PkBmAMEAutHJfLcy5d21FA7DFEUEe1OXDYHLrsTXK4zhYolEiQyKRKlDEEuPecEazfnPg6jBb/t69i74ASiKDLk6h70mxHbLr3v/hGF7DZuM3PzA0W89WVQt3ipQdh/yol8twKXCvanRYJUysFN4TiiZCAIVBhcvP2SjgO7bVz87lgiBwR12Njy9pWx7F/78AnzoveHN2OP8G/XmiqWQj2532+ifNcJoq4egebmOdjl8k5Ph3bqK7BmZGM9no016yT2vEKk/r7Io8ORR4bhF9MPef8g5H4BSDU+jVqJnBYLttIiLAV5VBw4gu7/FqNMSsD3wvNQJffowHfVfCzpx5u0uH1101j6Hj7JjxY7T5x+7jHgs9vPa/fxeRKn2YalUI+1UI+1pAJbWQW2MiN2XSUOQyV2gwWn0YKzsspK6hYpUgmCIFQJG6eIaHfgsjkQXSIytRKpWonMR4XcX408wBtFoAZFsAZliA/KUD+U4X7I1J1v8u/m74FMo8J0/lQSJ4kYDuRycuVGNnySTp+LYhg6uwdB8a3LJmzxODrkKO3M/sNWrrytgJc+DKT/kO4fKYCgs9N/VBFSc5WFTWoBn9UWKqaocURXqeSdWyy89JiWMRNVXD1/GgrvjjkdLAYbaz88TMb6QiJvn0zQ+JR2vYu06yvJm7eVklWHCZ85mLBXn8Tlpeo04eKyWLEcycRy+BiW9Eyc+gqUPeNQJsYTNvZilBExSFWtq18iVanwio7DKzqOAMbgutBKWd5Oyr5ZgCI2ksAbLu16FpnMw/hPSm10FR+9icgSE3NOL98MPPfsJeRFd5zgbi6iKGIrqaAyu5TKnFLMuWWY83RY8rQ4zTaUYX5VfyE+KIJ9cEYmI0/xQanxRqJRI/H2QuKlRJA1/XsUHU5cFguuSgsuYyWuCiNOgxGJq5DKEyWU78zCUmjAWqxHIpOiDPdDFemPKiKg6n+kP6rIABSBmnO2mFk3nYcgCPgNiIUB16EurUC5dg0/zNlIRKo/w6/vRfzIkHa9tneaC0kQBCmwCzgliuL0xtZtzIWUlWNn/Kxc3nslhMQLu2NecInE31tG4FJzracLb9OQ/3wAAFaLyH/fLmfFYjOTXhhOz7Etz/5oDdUtAFa9fZDECRHIZ89A1o6FxpxWOwWLdpP/y06Cx6cgnXgxUr+OuTOoi6NES+W+NMz707FlnUSREINXnyT8AlNQRkS1e+yNy26ncPdSKnfsJ/ThW5BHhrXr8ZqLaHeQ/8jLDP7+TuS+9bcRCCkx8Nt1n7mXtf5eKGxOtg9N4IXnZnbUUOtFdImY87SYjhViPF6EKbMIU2YxEpkU74QQvOOCsfjEIg8PQRYWjNS/c5rriaKIy2iqckUWl+FtzcOSr8OSX46loBxnpRVluD+qCD9UEf5VQqdaaIX5IlUru11V3TQLl81Byeo0DIu3gAAjbuxFn2kxrW4301VdSA8C6UCr83NLSh1cdO0pnnkwsFu8nKbvsHwUpS73st1X4NDOSERV1clzLM3Gcw9pie8h47qfL8Tbv2MsVvqCSv56bR/l+ZXEP3M5Xn3ar6aL6HRRsjqNk99uRJMSQchT9yEP6/g+OPaCYip3HaBy9yGc5Qa8BvQmqP841LOSkCjr/9wdJiOGfTvwHTgcmdpzlhKJXE7kyJmURoVT/N5XhD1zL7JAf4/tv7VYM7LxiglqULwAOKQSrDIpSoeT0gBvZv50HwE6E2Elhg4c6emxGC1UpOVTkXaKivR8jMcKkWlUaJLCUSeFo5w0BZ+bI2tZubrClUkQBKQ+GqQ+GpQ9YoFBeAHVn7rLbMVRWoajWIu5VIt4Kh/9nmwshQZspz9nRYgPyuAqq5EiSIMiSIM8sOq/IlCNPEDd7vFr3XR9JAoZYdP6Ezq1H+W7szn0xzrWf5TGsOt6MuiKBI/GyXSKBUYQhGjgO+A14JHWWGAqK11ccOUpJo314opHu5hJvKNxiCCrujvy/ctEzzu0AGS/G4DuiqrPxuUSmftlBd99VsFDz/pjPf+8DrmjcjlFdv1fJpu/OMqw63piu+iidr3Ile/NIeeLtUiUMrxnzkTZK77djlUfjlIdph37qNy+H5fRhNeQfgTEDMQrNqFZVhbt5jWUrFxCyOTpBI6Z1C5jLNy3HMvRLEIfva3T76ody35BopITe+PYs17793O/MO/K4RwYEMuUlYfomVXCp83IVPIkNp0Jw8FcDAdyMRzMw1JYjiYpHJ/UKGwhKSh6xCD1+Xtff0RRRDRbcGjLcWr1OHV6vF2F2MuM2LQmbFojdq0Ju74SqZcCeaAaRUCVoJEHqN3iRhGoqXotUI3M99zLluum9RiPF+H4YzUnthUz6MoEhl3bE3Vg826eu6IF5gPgCaBV9nynU+TG+wvplSDn8ke6frnj9iTiTR3hnxrRzvLi5KsBGC5Uc+J9KL/U293ArjDfwYuPaHE4RK794QJs0e1fWwWgOEPP0pf2IlVKSHn3BhwxQe0WpFt5soycL9dSeVKLz6yL8RrSr8MukC6zhcpdBzFt2Y09vwjvIf0Iv+BSvGJ7tNg15DtweK3/NfGUdSas32RO7HwXy4EjeA3o3er9eILyXSfo+fDUs55fcP2nRBZX0OdoAW8+MIUVk/t2yHgcJiuGAycp35ODft9JbKUV+PaNwrd/LD79xhAUG4kgqxLg/5T+44IgIHh7ofD2gugI9/PK03/ViC4XLlMlTn0FTn0FLr0Rs6ECobwEU2Yxdp3JLXhcVgeKQPVpS44PimANimCfqrigEF+Uob4oAtUd0u+sm/ZH0ysMHrmW3vk6zEtW8vnMlfS/JJYRNyXiE9r6X1KHCxhBEKYDxaIo7hYEYUIj690B3AEQG1V7mE+/VkqZ1sUT3wf8Y1W8tNhOvzGFSE6XdAlcZEZ/vhflM9SUX3ZG1K1YUslbL+iYPccH32s7phWAw+Zk85dH2bPgBBPuS6V8zOR2CxC0G8zk/rCZ0nXpVZlFc25FkLf/aS2KItZjJzBt2knl3jRUyT0IGjQBzVW9mxV82RAytaZBy4th3w5KVi4BaNQ605TQEaRSgoZPonzt1k4VMA6dHluZEU2dCrzV4gUgUG+mMLz9qkCLThfGjCLKd2VRvjsbU1YxPimR+A2Kw/eGa1DEVcUnidSerLs5G0EicbupagodOHuicdnsuPQGHOUGnDoDZp0eSgupSM/HVlKBtcSAo8KCIkiDMswPVfjp2JwIP1SRAXhFBiDz6W7Uea6higyAO66i7+UViEtW8OXlq+l7cQyj5iThE9ZyIdMZFpgxwCWCIFwEqABfQRDmiqJ4fc2VRFH8AvgCqlxI1c9/M1/P78tNfL4oBIXynyle4u8sIXC5xb0sAvmP+FA+44xwMRldvPViVXr0zP+ch3/fgA4ZW96+Mv58eS9BcRr6fHIr+iCfdrH2uBxOihbvI3feVoLPSybs5ccRfdrfsuQ0mjBt3o1xww4QBDTjhtFj9ExkmvYPDm7MOlOT5ggdn5R+FC39BZfVhkTZOWUHrOmZ+A6Idd9lCy6RVTPeQ2V3utd56NXLOZ4Y0dAuWoXdYKZ89wl027Mo330CuZ83/kMTUE2Zil9SAhJFlY++W7C0HxKFHElIELKQ2llkNaMjRLsDh7YcR6kWe4kWuTkf7aYMLPk6zPk6JHIZXtEBqKID8YoOxDs2CK/YIFQR/t2Wmy6OIsgHbrqcvpeYkCz5iy+vWE2/GbGMuiUJTXDzhWmnFrI7bYF5rLkxMJu2m7ni1gI+WxBCfM+uEBrX8QzonYe08sx3Zg2TcHhLBNQo939wj5VnHyxj2GgVvR6c1CHp0bZKB+s+SiN9RR5Rd11I0LjkdrOO6XadIPvT1ShCfPGadSmKqPbNonJWmNAvXoXLYMR86FhVMG7vMVVxLV3QAthcV9OJ797D/+rpqBITOnB0Z7AsmIu6ZxgRMwejNNtYNfODWi7Ge96+mv0eqq5rzi1Du/U4um2ZmLKK8e0XA0n98eqXjCyoY8R9N55DFEVcBiP2whIchSUoTScx52ox55Rh15lQRQfiHR+Md3ww6h6hePcIQRGk6ZK/127ApjUiLP6Lg4tPMujyeEbOScLLr+rGqivGwLSY3FN2rrmzgBfeC/jHihcAh4+AtFJEBLI+DEQ/64zVxekU+d9/Dfz0nZEJTw8l5YL2794McGJ7Mcte3kv0oCBSP7uj0YyStmA+pSP78zWYT5ahuXwmXgN6t+sFSXQ4qNx1kPJfluHU6VH1S6bHfc80K/6kpfEqnsw+aswNVWu90GCcJTroJAFTkV5A+IxBAMxesMNtPROBi36+F4N/6+PbRJdIRXo+2q0ZaLdk4DLbCRjZE+WkC/C9t5fbytImXC6u3LiDW1dtJqGoDJnrTPafRSHn7jtns2FA4/VtumkdgiAg9fOpKouQ3AMYgZyqlFaX1Ya9oLiqkrX+BPkLd2LKKgZA3TMMda9QNInhaBLDUEb4d4uaLoAiUAM3XU6faQbMi5bz2cyVjLihF8Ou7dnodudEK4HB/VWiVAJXzNAw+Xbvzh5OhxL5spaAZWbSl4bjCpCgTLMR+IuJghcC3EG6AAWnHLzwsBaJBEa9PLFV/sSWYqmws+b9Q2RtLiLqvosJGN4+lV6dZht587dRtHQ/kVcORxw2pV3jXJxGE8Z12zGu3YosPATfHgMwHUsj9MKZKEOaVz+lpdlEHZF9VJdT6xcgjwjF5/zRHXK8moh2B3n3v8CoX+7HyyViVitBFLnt2418c8MYXLKWZ6q57E70+3LQbs5Au+04Mh8vgkYnYu85BEV8dNsnKpeLSXsOcSQ+moHZeXzw+XyUNURLXRxAz6/fbNsx2wmfSjO/vv4Jlz1zDxXef/9wZFEUcZZXYD95ClX5cUwZhRgzCnFZHWiSI9Akh6NJicSnd2S73YB103zMeVrM/7eM/ANaDIXmc9sCc/KUnUljvbngtn/OiaXIsNLnwmKE0+EAAwbnc2hDBNY+Sgr61PbOr/qzkjdf0DH7Fh98rumYQN3MTYUs+9c+eowJI+XTO9qlTLkoipStO0L2l+vw7R9D6AuPQIBvu8W5WE/kopv/B/b8YrwH9yH6mjtQhUei3byGyuNHMCX0araAaW68SmvXP9dx6PSc561g7cwP0PuoOJ4QwoPvzOarOS1rDeA029DtPIF28zF0O7Pwjg0icHQiwY/d467905YzM7hUy6qXPsTffCbm7IPpEzF7ebnFS0O3gNsT4xiTlsGYg0d566qLa91wdDaTDhwhqaCYiQeP8seIgZ09nHZHEARkAb7IAnyB3mjGgwZwlhuwZudB6TEKft1FxtEC5IFqfFKj8O0TjW+/aFRR/9xkkc7CKzoQr8euw7ugnD03fdHgeueEBcZLJRFX7o3EW/0PCMxyuOgztgBlwZk7OxHIe9aXkjv8aq1qNrt49+Vydm6xcsFrY4jsF9juw7MYbKx6+yA5u0qJenAG/oPapwNwZXYpWf9diaPCiuaqy9o1TsOWnYdh2TrMB44g2uwEnjeZkEnT3K+3V3G5ziZ32fd49UtGPWpwhx87ZP8Rdv3nf+7l/DBfrmykmWNN7OWVaLcdR7slA8OBXDQpkUj6DMJ7YCpS/7ZnLMmsVtY+9y4xWj1ALcEsAouGDeDrqefha7ZgFWBPYgJinWagUoeDoRnZ/PzOlwBUqBT0/e+/2jy2tvLh5/OYsi8Nvd3BXFHkekHATy5jxcBUHrzz2s4eXqcjulzYTxVizchBmn8Uw6E8RIcL337R+PaPxW9ADF6xQd2CpgPZMuWtc9sCE9tD9o8QL/KTdvqOK6x1wbRESUjbUDtIFyAj3cbT95XRu5+Cq+dNbZcuoHU5vrHK6pI4PpyUT25H6u15q4uz0kru3C0UrzxEzPVjcAyY1C6dokVRxHo0C8PStdjzi/GZPJbwMTOpSNt3lhWkuTEl5xpObTnSAL+mV/QwU3Yd4MtPf3Qvl/l7NypeRFGkMrsU3fZMdNszqTxRgv+QBCT9hhFx3Q1IPOgCuX/xau5dvBov55lMqOpbvFK1F89fdwnLRjQt+JwyGdt790KkSgBpLDaPjbEtvDdrCn1yC/i5qJTnRBGbIHBlUADvXnphZw+tSyBIJChiIlHERAKj8KaqOKXlWBamjHTyF+zAZXPgNzAWv8Hx+A+ORxnSOe1JujlHBIz0nBhl2/FfWel+7JLB4bXh2GNrCxNRFPn5OyNffGjgkef9sUwa3+7jslTYWfX2AXJ2lhL7yCWo2sHqIooiZRuOkv35WvwGxRH20mM4fTUedxeJoojl0DEMS9bgNFTge9EEgqNHuGu3/B2FSn2Iooi9oBh5eEiHHvfq9dt56/tf3csGhZQZ/3dPbSuHS8SSr6Mi7RT6/bno92YjyKQEDOuBavKF+Kf09FgM1L+++4XrN+xEAK579DYM3l54OZ2IVAmXU4G+XP7YXRSFta5ppJOudZHNCQvmvVmTeeGzeSCVcovLxSuzJnMytOs1xewqyIID0AQPAYaguqqqr5klLYPyXYfJ+XIdcv+qNPyAoQn49o9BouhK3/jfm+5PujMRRXpdXYzEInLsj3BKbvVDWuJCEEUKnj7bHVSuc/LKEzqKCxxc8+35WOLa352RtaWIpS/vpefYsHazuphPaTnx8SpsZUb8b7uuXdxFoihiOXAE/eJViFY7waMm49NnYLs3Ueyq2Mu1CFKpR1wuLeGyrXvcj9PCghnmLeC69Wu8YoPAJWLTmbDkaZFqVPj0jsQVk0LQw1ORhQV7zGx/+brtPLdwGQGV5lrC6Z0vf+L8Nx4nLTqMI1FhVGja+PsSRbpiZ6CLdx5ArVIizjgf9eLVXLTzIEuH9u/sYZ0zyEIC0YwfAYzA+3oXtpxTyE7uI3fuZiqzS/EdEEvgiJ4EjOiJIujv43LuinQLmE4i4Ccj8U/oEKi60+txfRFZc8MofKr+mhR7d1TVdrlgmhcjXpuMTNG+l0aryc6a9w6RubmI6Adn4DUk3uPHcNkcnPppOwW/7yHq6hG4hk5xl2n3FKIoYjl4FP3vKxEdDkJGXYimd79OES5dKZbGnJ2JMjG+w497zRN3kn7P8+zpEcu1T9xJ0OmYA0eJDgTQ+GrwDwtBqvF8tuEDv63gkcWrgbPjWko13rxx5VQqVUp2JjeeutlcUnNOdUjLjpby+dTxvHjtTEr9fFg0chAROn1nD+mcRZBIUCbEQEIMAePB12jCcugY+n37yP5qHV5RgQSO7kXgmCS8Y7utXJ6mW8B0MLJcG70vKUGurRGkK4OSm+uf0JxOkW8+NrDgByPnvziCuHHtW7QN4OTuUpY8v5vYocGkfNI+GUb6vTlkfrQC79hgQp9/CDHQ36MXe1EUsaYfp3zRX4gWGyFjpnaocKlPrDS3FUBHYMhPQ9U3qUOOdd8fK7ly8x7W903inUsvJOWz19yv1Y458DyCywWiyE3rtvHoafECuF1Evw/uy0P33tAux048VeR+vHxg16kHcyAhxv241M+HUr+Wx3D809Kwm4tUo0Y9chCMHITXbCfWY1nYMnaT9tRPSL2VBI1NIui8ZLwTQroDgT1At4DpQOLvKyVwsdm9LAJll6o4+UH9cQglRU6ee7AMUYRrf5zS7rVdHFYn6z5KI215HtH3XYRmVC+PH8NeXkn2F2vRH8jF9+pL8W6HC7v1eDblv/6Fs9xAyNip7eoqasiqUp9Y6Sqp0i67HfPhDAJmX9Lux/r+nS8Yn54JQPy6bXwzZSyGdrCu1ETicLDklf+QnF+MVBRZ1TeJN66ZgUmpQOJwcjwihOkvPADtEBxek7e/XeB+fCiuY4pKdhT/tDTs1iDIpKhSEyE1kbAZLmwncnEd28mRF39FIpcRNCGF4Am9uy0zbaBbwHQktjNWF7u/wKH1YYj+9WcPbVlv5qVHtVxxvYaAGya1e22XgjQdi5/dTXBPH3p/chtyP89OMqIoUrLyEDlfrSd4UiqhLz6GROVZy47lSBbauYtwmS34z5pCcMwIj2YwtcSqUp9Y6SrZTKaMdBQxEVVVTNuRX1/9iCEn8tzLfw7pS3ZY+wUN98zJ48/XP0HlcNay5k06dIzbwkMY+t5zVHr4nGuMPwf347JdBzDJZPz34okddtz2pGYa9tvAM1/+H29++0t3GnYTCBIJyp5x0DOO0KkitqyTONO3c/iJ/0MRqCFkUirBE3t3x8y0kG4B047I8uwkXV1C/mO+lF+qIfuLUHwG5ZH7jB/lV9Y/edjtIp+9p2fpr5VMfWM0QcPaN0vE5XCx5etj7JqfyeQn+lM8eKLHTZvmUzqyPvwLh9FK0AO3Iffw3aijVEv5bysx7zmEaLURfP5FBMV7vrpsS6wq7SlW2hpLozu6HfXo9q398sfLHzLgZL57+flrZ/D9+WPb5VipmSdZ8vp/kUCtdgQARoWC6c/cC4LQoeIlTKdHG+DL1sQEXr9q2ll1Ys5VutOw244gCG4xE36RC+uRLEwHt5J7+xZ8ekcROrkPgaMTu7OZmkH3J9ROJNxRQsBfVdU7457RUX5p1URzcG90g9sU5jt45r4y1BoJs+dfiDqwfS+42hwjfzy7C6VaTu+Pb6UkxLOdo10OJ/kLd5G/YAdR15wO0vXghdxprMTw5xpMm3ejmTSK+Dsfx5i+v91cNF3FqtKWWBp7uQ7r8RyC2vFuue+J3NriZfYlfH/+GI8eQ3C5wOVicHYe89/8zJ3tIwIOAe679WqWd0KBvmr+eu49AixVv/+02IZ/8+ca3WnYnkWQSFCl9oLUXkTMsmHec4iiZdvI+ngVwRN7EzatP+oeoZ09zC5Lt4DxMP6LTSTcr0WoUeDY2YwifBtWm/nXE1quu80HzdUTESTt2KRQFNn7Szbr/5vG2DtSME680OPHM2YUkvnecuT+3oQ+8wBiSKDHxJFod1CxZguGpevwHtKXhLueQOZTlQ4cOGYSDpMR7eY1Hs/2qU+s1LSGQJW4UCf1wXTscLtlGzUVS9OYhab06EbUowYhUSo8Pq5qDiXEUOyjJqTCxN13zmbZ8IEe23dkQRF/vfoxPhYbBqWCIf95EZ2vDyqrBadEyoRXH8Xg27mFxabs2O8WLyLg8HBmXWfTnYbdPkiUiqqq2KMGoy7VIjmwgfTnFqII1hA+fSBB56UgVf1zGxnXR7eA8SB9h59CUVQju0iAnH/5ob2h4VobdrvIJ2/r+WtxJRe/MxafQe17J2Mss7D0xT0YS60kv30Dptggj1pdnFY7eXO3UPzXQeJun4A1+TyPuaREUaRy1wHKf1mOIiqM2Jvuq7c3kaeyfZpy1bgcDrSb16LbshZLYT6iw4Ex/QCG/buxFhdgN+gJueBiJHLPiIWa46n5vuqOs6H377RYMG7cQfhz93lkPHVZ9ew7HIkK4757bmDcG49jl8txyjxzibll2Vqe+2V5LTeRr9VGkMHIxNce61D3UFN88fk89+Pfh/XrxJG0D91p2O2PLDgQJs0ibPwMzAePUrphI9lfrCN0Sl/CZwxCFeHf2UPsEnQLGA8iLz4jXsonKcn6X+Omv8J8B0/fW4aPn4TZ8y7EO6B9L8IZ6wpY+q+9DJgZR/BTM5DIPXtnaDiUx/H3lqHuEUroC49g8/OcS8p6Ihfd/y1GtNqJvPhqvBMSG1y3JRYKoEGRUlMI+A8djTkvB0veSSwFuViLCnAY9Eg1Psj8A3FZrQgKBaqoWKQ+vrhcLkyZx9Dv2Y4qIgqfvoPxGzgUiaL133FDwkS3YxPa9Stw2myETJza4PsvzdiIqk8SshDPi+SdD71CaIWJnoUlZC5awfuXTvHIfuf/+1NGZWQDteNbnAI8MucKCgP9PXIcT3HV2i21xvnw7bM7czjtgifSsJvLPz1dW5BKqzI1B6biXaKF3Ws58MAP+PSOJPLSofgOjP1Hp2N3C5g24LvMRNQ7BtJXRwBQeqUXvpttZMwNwtaj8Ylq0xozrzyh5dpb299lZKt0sPrdg2RtKSbhmcuhbzSeTCp2mm3kfLMB7aZj+F5zKd6D+3ps3w6dAf2vy7AczsDv0gsJjh3ZZEp0U3EpNYUAUK8oEJ1O5EEheMX3wnBgD6XrVqCKiEYVHUdo2EC8el+E0jcYiaRxEehy2DEUHKfwxHbKNqwkfPoVaFJa9/k0JEyEOv/re/8uqwXDyo2EPX5Hq47dGBufeJ3QChMAEmBzco8271Nps/PNh/9j9GnxAlWCwKBUMOnlhykNaf/Gpa3hzbm/ux//b8IIXH+T4N3Oojtd+wyykECYejnhE2egOLqRrP+uQiKXEnn5MIImpCD5m7kqm0O3gGkFgt5B/5GFSCtFRCD0P3qKH/Aj9+3gJrd1OEQ+fVfPskWVXPTWGHwGN71NWyhI0/H707uI7BNA8n9v93hROv3eHI6/vxzfvtGEvPCoxyqoinY7hhWbqFixAc15w+lxz9NIlCqP7Ls+IeA7cDgumxVTRjoV6QcxHT+CPCAIda8UQjRJqINjkcha7n+WyOT4x/TGP6Y3FQknyFw6F4exAv+ho1q8L5lag+/A4WdZjPyHj0WiUDQavFycthZV717II892ubUaUeTQvS/iY7W6n5rywgMcbWWW2eXrt/Pvub/hEiD101eRAHZACuyJj+byZ++FLtz6Ycrug+4bAxF45dqZnTmcc5rudO2GkSgVOPqfT3C/SVgOHqXor9Xk/G8DkZcPI2xaf6Re7Rff1tXoFjAtwSWSMq0QryOOWq4RVaa9WZuXFDl5+r4ylCqBa+a1b5aR6BLZ9l0G27/LYPKT/SkZ7NlMGWelleyv1qPblonfdVfg1T/FI/sVRRHz/nTKf1qCPDKMuFseQhHoWZFX00IhOhzIg0IpXvorpuNHUEXHERLaj4SZlyBIJJRl7EQVHdYq8VIXn7AEUibfTfryj1BFxqCKbHl2Sn1upKYsTg5jBRWrNxP2rGdjX9Y+/XYt8XLbPde3SrwknTjJstc+QSaeiXy/ceVmnr7xMrQ+agzniOvgnj/X4aLKCvXLyIF/m9TpzqA7XbtpBEHAq38KXv1TsGbnYVj7F3nztxF56RDCZw5ulwrqXY1uAdNMAucbiXtKV0u42EIlHN4QgejV9F3hjk0WnnuojCtvqCpM154uo4oiM388txun3UXKf+ZQEubn0f3r9+Vw/N3l+A2MJfTFR5F4aIKxF5Wim78YR0kZ4VMuR93LM6KoPiz5eej37aDi0F4UIWGERg6mx2WXIlediYMpPLiWvF1VYiG8n2cKkal8gwmeOJXStcuIvu72RtetL4i4OdV8625XtPNP1KMGI/dwquui0YN49PdVAIz69xPktzC25tEFS7lv+XoEavcmKlcpWTx8AKWBnj1v2xO1ycSgnDyevGEWYeUVfDjLMzFA/1S607VbhjI+GuWcW1HmF2Fet5w9N31BxMzBRFw29G8tZDpcwAiCoAI2AMrTx/9FFMUXO3ocLUIUiX5FVys47+j8YCpHNz1xu1wiX31kYOFcIxe+NprAEe1bmO7Y2nyW/WsfQ67ugX3GxQhSz5ncnWYbOV+vR7slA7/rrkTlIauLy2bH8OcajOu24Tt1PKEzb0HwUPZKreNYLRgO7qF811ac5kr8Bg0n9aIHUfrUf1EMShyG02HFabdhtxhriZvGsFuMlGXsJChxWL3bRAUMZV/OYpzmSqReDbvcWmNtqbudd49kKvemEfnqo80ae5OIImMOH2Nz32T+c8lkxh7O4O3LLmyReEnJLeCrD78hWmeo9ZtyCHDbPdexbnDHpOSKooiz3ICjuAxHmQ6nTo+zvAKX0YSr0ozLYkW02cF1OjhfKkWikCOoVEh9vJH4+iAL9EcW5E/WR98BcOey9Ux886kWj8VZYcK0eRfqMUOR+qg9+TbPWbrTtVuOPDIM+bU3ITu/FMuapey5+QsiLxtKxKwhf0vXUmdYYKzAJFEUjYIgyIFNgiAsE0VxWyeMpWFEkbiHyii+UY15iBcH0mNIuaAA02A5uW8GQTMiv3VaJ88/pMViFpn94xR8QtvPFG63OFn97kEyNxWR8NwVOPpEeTQ92nA4j+NvL8WndyShLzyKRO2ZWBfz/nS0835HGR9N/O2PIffz98h+a2ItKaJ852YMB3bjHd+L2P4X4RuZhCA0Lu7kKg1SmZK8XUuQyhUNWmHqCpayjJ3k7VqC02FFKlOeJWQkMjnK8CgsBadQ92h9NlWT2w0YRu6ir/GfNcVj31f63c+hsjso8fPhwVuv4qqn72nWdpEFxcz9z7c8csuV9MstJEZncDdU1Hp7Mf61R6lox/otLqsN28lT2LJPYc8twH6qEHtBMYJSgSw0CFlQALJAf7wVoUij1Ui8vJEolEjk8qq4GxFwuXDZbbisFpyVJhxGA5b8Ijb+vNhdSC+mVIf2x99Q9ohF2SsOaXBgs7JETJt3Ub5gKQC+U8e32+dwLtGdrt165GHByGffiGxiCaYVS9gz50uiZ48i7KIBHs8+7Uw6XMCIoigCxtOL8tN/YsNbdDwhXxiIfk2PAAQsMVN4lw+Fj/tzZFVEs/dxcI+Vp+4r48IZ3kTcPgmJrP2CD4szDPz25A5CE/08Hqjrsjk4+d0mSlYfxm/25XgN7uOR/TrKdOjm/YG9oJiIaVeh7pnskf1WI4oilVnH0G1dj6UgD7/BI+l7yWMo1P4t2k9Q4rBa/+ujWrBAlaupel2n3UberiVUFGYSP+6aWiJG5uOL01TR6LFbW+W3eruSrE0giqjHNTz2ZiOKpN3zPN52BwBh+gqORTXdGf32JWt4ZtFfbjfRZ//9gUn/fpJIbTmbEuPY3L93s24GWopTX4HlaBbWjBNYM3JwFJUgjwpDEReNJiAeZfIoFCHhSL3adlMRYDDQZ92Ze685E6fhJZNj3JtWJUgEAWVyD5RJCaiSEpBFhNYraNRjhtb6303Hpmv/XZGHhyC/cQ7yk/no/vyDgkW7iL1lPEHjkv4W6dedEgMjCIIU2A30Av4riuL2zhhHXby3W0ieXYLgPPOcKIHSa5p/9yqKIj99a+Srjwyc//wwoiZGtsNIzxxr74Js1n+SxqSH+qIdeb5HT0rj8SIy3vwTr5hAQl94BKlP26vKik4nFas2Y1i6Fp/zxxA9/WYkMhkOk5HyHZsQgYDhY1tdwVZ0OjEc2ot281oQRSKTziNw1M2tDsKVqzRNxr/UFTnV25j1Reiy96HPS6csY2ft/Yhiu0zc1TgqDJQv+ovQR2/3SCfuQ/e9gNp2Jlh99BtPUObfcIHGUQfSmf/ht0Dt+i1SoFKp4M0rprV5TDVxWW1Yj2ZhPnQMa3oGjvIKVInxKJMSCEwYhjIiGkk7uCXXfPCK+7FDENg1fjKBQCATEEURu7YUc04WFZkZGJatQ7RYUfaKR9EjBkV8NIrYSKQ+GqQ+6m7LSzfthiI2EsXdd6FIO86p+b9T8Osu4u+ehE9y82/KuyKdImBEUXQCAwVB8AcWCYLQVxTFQzXXEQThDuAOgPCodjZ5OVykTihElXtGuYhA0Rw1+S81v95EpcnFv57UkpPp4Jrvzicgpv06i5oNNpa+vJfyXBMp79yALsZzFXVFp4tTP28n/9ddxN85CWvSOI8II2tWLtrvFyL1URM350EUQWfigQz7dlC2fgUAUoWixZYHl92Gfs92tFvWIQ8IJG7AdHyjknFYTRSnb2owHqU5NBXT0pDI0Z9Mw6Ivxi+691kWHIexol3aDECVsM1fuwDNuOEoYtp+gTp893NoaoiXEW89RWFQQL3rRpTq2PTUm7UyikTAoFIy4ZWH0TawXWtw6PSY96dj3peGNSMbRWwkqr5JRFx8LaqIaI8It8boc/gAH7tczAGCgeFPvVbrdUEQUASFoAgKwY8RMAXs+nIsedlU6E9gWLIGW24BglyGPCIUWUggskB/pP6+SHw1SNTeSLxUCEoFglxW1UdMIkEQqvQvogguF6LTCc6q/6LDgehwwun/tZadZ9bF5UIURXBVO/LcgwZBqIqdk0gRZNKqY8tlCHI5glKBRKlAUCmRqJQIKmW7f87deA5Vai+UKQ+jSF/PkRd/xX9oAnG3jkcRcG7GXXVqFpIoiuWCIKwDpgKH6rz2BfAFQGp/Rbu6mNQ7rChPnREvFYMVZPwUAorm/zBPZNh5/K5S+g9Wcsn/piFXtZ/oyttfxu9P7SJxfDgBD13j0a6llnwdGW8tRaKQEvrsg9iCAtosjFxmK+WLllO56yABV11MUOSwswRRVR0WGyIti/lwWa2U79qMdut6vKLi6DXuBjQhce7X67p3WordYiR74/+hz0sHqqwsjYmZmtS1zBQeXEtQ4jBkSjW2kiIUwbVrstSXddTcztM11yvXp2MvKCH4jrZXgVWbrbUsLxc9d99Z4kVqtxNTVIo20J91z73jFi8iYJVK6f3pvzxW0M1RoqVy90Eqdx/EUViKqn8KAckjUF90Y5vdQS1l6IJveeL041nBIVQ2o06R3M8fud9AfBgIo6vEpsOgx1ZWjF1bhtlZhjXrJM4KE6LJjMtswWW1gd1eJUBcZ6p9C4IAEqFK2EilCFJJVfC7TIogOy06ZFKQyapeq7EeEklVJqQgOWMJFEUQxSph4xY7TkS7o0oIWe2INhsuqw3RYsVltiDa7AheKqRqLyQabySaKmuSxFeD1M8Hqb8v0gBfZP5+SAN82yU4v5qGAqG7A6RrI0gk2PtMJOyVUbjWLWHfHd8Qc91owmcM8mjSR0fQGVlIIYD9tHjxAi4A3uzocWjWm4l8X8+x38IxjfYi7xk/ot7Qk7YiFFuvlsWQrFhSyZvP67j/ST+cUye0z4A5Xdvl2wy2/3Cc2AcuQjG64QDQFu9bFClefpCcb9YTfc1InEOneOTOyrw/He3c31D17kWPO59A6l3/BUSm1hA8cWqz9+uyWdHt2IRu63q843uRfP4deAeecddVW038YlNblUlUTVnGTvR56W4rSksEUU3LTM2UbL+YVASFwt2Aspr6so6a29epej2nxUL5/m2EPHAzgrzttWtMXkr+femFPPHbCsa//hi5oWdq8qQez2bR21+gdFSJ/9T/vsLSIf1IzM3H22Zn2gsPYPVAir2z3IBp534qt+/HUaLFa3AfQkdfhHdCL492N28J/iYjo8Iieason5uA8+5teeYRVImQKlHjDz3A35OD7ABElwuXxYzTXImz0lT1ZzLiMFVgKdViPZ6Ds1xfleGlNyJReyHIZSjiY5BHhSEPDUIWFow8PKTN5RgaCoTuDpCuH4mXCsm0KwgZMI6yXxZQvOIQPR+agibp3HErdYYFJgL47nQcjAT4WRTFJU1s4zEEnZ3+Y4qQmqqq6Pa4qZis70Ipud2Xktsb9unXh90u8tEb5axbYeayT8bj7O3fLmMGMJVZWfzcLmyVDnr/Zw7K0JaNtTHs+koy3/8LS2E5wY/chSs6vM1WF6fBiG7+H9iy84iYPrvRbJuW4LLbKd+1Be2mNXjH9SBl8t14BYRjtxjdFo6amUBAszKJGqKmFUWu0jQrqLc+l1PN7fK1e1D3THKvX209USdVBUjXrRBc97n68B04HFGEirx0NONHoKwRANliRJH997+E0uEg5bPX+Gz6JD6bfkY8aQwVHHj41VqNFUXgwt0HePi2qz0S2+Oy2jDvPYxpy26sJ/LwHphK6JhpeCckdrhoqWsFE5xO1r33MsUaX7ZeeAnnjRzfrvFMTY2nMxEkEqTe6qobk6DGS0SITiela5ej3bQaWVgcuFyYDxzBXlSKo7AEQamoSgOODEMRHY48Ohx5VDiSZjbqbCgQ+u8eIN3WflHyyDD87r8X5dGq7tfB56cSe9O4c6LzdWdkIR0ABnX0cXG4SJ5VjPdBe63eMc0pQlcf1VV1vdUCV/04FS+/9suxz9lVyh9P76Tv9FjEK2Z4tOdF+a4THH93GcETe6O+8WYEedtOCVEUqdy+D91PS1CPGkzCBbORKNr+2YhOJ/p9OylbvwJlSBhBcYOIGHC+WyA0lAlUU2g0Jjoaom58S2NBvdXCxemwUrBvpfuY1WKmeruKw/sIGn+m0FljVpbmZiLJ1BocwQJipg2/6ee37E3WYccjr+JvtgAw/63Pmf3EnQCM2Z/G9x99j1QUaxd0lAjcct8NbBzQtgw1URSxncjFuHEn5l0HUfSIISBlJJpZfTzW0bs11P1+trz1PCqnk1i9jlN+gR0qXuobz7mCIJUSMGo8Ui+vs8SX25VWUoS1uIDKzJMY12/HXlCMNNAfRVxU1V9CDIq4KCTKs8+HhgKh/+4B0p7oFyUIAraU8YS+NATr77+w787/0evRqfj1j/XsYD3MP6ISb9DcCmKfLT+7iu7acERNy8XA3p1Wnr63jMuuUxPYjlV1RZfI5q+OsvunLGIfnoEwrIfHAnVdNgc5X6+nbOMx/OfMRta7V5v36dDp0f6wCGeZjuirb8Mrqu0nvyiKGNMPUrp6KTIfX3qddyPGwizydi1B4e3rFgUNZQJV46lKuo1RLaLC+kzAL7o3frGpZwkrc3kh9nIt6h5nLDCtrfdSE0vBKQxL1hD2zD24zJZW+/xXPPsOYQaje/mxOVcAcN26bbw897da8S0icOmTd7IvqW3NG12VZkxb92LcsB3RZkc9dhjxdz2O3Ne/Tfv1FDW/n4v3bCfAanG/tqaVjTk9NZ5zjYYEeU1XmrpXMtWpE6LTibWkCGtBHsbSHCp37sd+qghZRCjKnnEoe8WhTOqBLMBzFulzhfboFyX10eB9/c2wL42MNxYSdF4ysbech1TZNa0x/wgBo95ldU/8LjlkfBOE6byWF/YSRZH/+9bINx8bmPzyCILGNl0Ho7WYyqz88cwuHDYnKf+5BWWw52ogVOaUcuyNxagiAwh5/mGkmrYFtomiWOVn/mUZmomjCJ8xxyPBeubcbIpX/IFosxI3eCa+UckIguCunFvTotKcdOf2xl3/xWFFn5eOT3jPs4TVqdzN+A8eWcsN0tp6L9W4rBZO/fYdAbNnIA8LxrB8fat8/muffpMexVr3ckZYMJueeosnb7gcncYbuVjldrVIJVz69J2kJ8S3eswAtpxTVKzdSuXuQ3j1SSRs0qV4x/fsclkt7u9HFHn3j5/cz6eFRuDqhLG29Xw5lxCkUlThkajCI/FjOJxX5Ua2FuRhqMikcsd+dD/+jkTthTKlJ6qUnqhSe3mk5ENXpz37RXkPTEXZKw7Lrz9z4N7vSXxqOppeHmwE6yEEUWzXBB+PkNpfIc5d0gKxIIr0nlhIzr/9qRzpBS4X/QfkUzLbm4Jnmp8WXRNzpYtXn9JxIsPOpLcnEhDdftHsJ/eU8vuTO+k3Ixbxiks8FhkuiiJFf+7j5HebiLvlPGx9JrY5PdqhLUf7/a84yyuIvHg2qvDWdSKuiU1XRunKJZjzcgieNI0o/8FNVs1tLU2lSHtyn3ZzBQd/e5OEe588K4C3tYiiSN7yHxAUcoJurrKWtCbr4rXvFnL9hh1n9suZ+BaLRELqZ6/SO6+QQ63sNO3er8NJ5Z5DGFdvwVGmQzNhJME9RyPTtF+RMk/FjKx89yViKgxA1efT+6X3PDTCbtqC6HJhLS5EX34Ua/pxLMeykIUE4dU3GVW/ZJQ9Yzst2Lu9uWjXAV74bB7fSCRV/aLuutbj7RaUxzZw4rM1RF89kojLh3Z4AbwtU97aLYpivQFMfzsLTNwDpQT+bkYAEm8p4/DqcBwRMg4cbHnn32pycxw8fmcpSb3l7ZoiXZ1ltGPucWIfngHDPecyshvMZL6/HGuhnpAn7sUeHtKmfYuiiGnLHsoX/InPpNGE9Z/S5ouE02JBu3EV5Xu2ETDyPHoNuQaprMrX3aAoaMHz9T1X18XjCUFTHexbdz8nT67Dt99gj4kXgJLMjdhPFRH27L3u51rj81/ZN7mWgKkZnLt4SD+cUmmbxIvTWIlxw3aMa7YiCwkkaPB4NMl923zONEecNDdmpLF9jT6W5hYvANfedHeLx9FN+yBIJG4rDSkTEZ1OzHk56IsPo5v3B05tOap+yXgPTEXVNxmJ19+nuWFH9IuyJp1H6NN9Kf32e/T7c+j1+MXIfbtGh/i/jYDRrKsk8eYyhJoGJVHEGdC2O/fNa8289JiW2+73RTpzQrupT7PexuLndmMut5LyoWezjAwHczn27yUEjU1CfUPbA3Wd+gq03/+Ko1RLzLV3oYpo4125y4XhwG5KVv2JumdyVcl/79qdiBtKX27J8/U9V9fF09D+7BYjxWmbQRAJ7T22SXFTdz82Uzn6vTuIv/uxZn8uTWHOy0H/+0rCnr4HiaJ1Pupn5/3Grau3UvNXUv0T2h0fw+XP3lPVC6iVOErKMKzYROW2vXgN7E30Vbeiimj9zURdmiNOmhsz0ti+7ty4yv24XKVib0Jis7ftpmMRpFK843rgHdcDhs3Ari/HdCwN/aadlH37C6qUnngP7YfXwFQkXk3X7unKdFS/KFlIIAEP349z5SIO3PsdSc/OxCel89Otz30B43QyoE8BUnONyp8C5D3hR8k9rRcBLpfINx8b+GWuiYvfHoNscHDTG7WSgsM6fn1sB0mTIgh+8jqPNdsSnS7y5m+lcMk+/K+/EvmA3m3eZ+Wug2h//A3NuGHuNgBtwXIql6KlC3HZbai8A4npOfEs8QIN9yRqyfP1PVc3dqb6Nb/YVHdaNlCrmJ1Upjwr3qam5Qaq4mAiBkw5s/3RZfgPGeWxwFSHsYJTv35L4E2XIw9r3bl53YqN3LF6q3tZBFzAa5ddyNcXt20StmXnYVi+Hkv6cTTnDSfhrieQ+Z79vbaV5oiT5saMNLSvxPw8AsyVHA8O5aRvAPfceGerxtFN5yD388d/2Gj8h43GaTZjPHqI8p370P74G6rURNQjB+PVP7ldi+y1Fx3ZL0qQSZFNuwKfsEOkP7+QuFvGETZtQLsdr1lj+jvEwAyKy3WbvMsnKMn6LrRNxzNWuHjxUS1lxU4mvDWp3bpI1+xlFHPvNILP81xDQ1tZBcf+XXVHqLnhxrOi9FtaO8BVaUb74+/YTuQSOf1avGLi2zQ+Z6WJkjXLMKYfJOSCi6ncvQ9D3hH8onuTOPm2Zu2jOe6e5rqS6lJdeC566HQA8nYtwSciEU1YfL0WmPrWjx46nfB+EzEWZ3N8w3ck3PcUkmZUa20K0eEg56dPUab0wH/WlKY3qIPcbmfXI6/hX2nGCTgFOBQVwc0P3ow+0L/14xJFrEezMPy5FntBMT6TxxLSc4xH3nNn4WWpZM+/n0MAFvUbxNOX39DmfZ5r7iZPj7ex/XXkZ+OsNFGRfoDyo7uw5xfjPWIAmrHDUMS2X/+6vwv2whLKP/sGv4FxxN89yaOlPeryt4uBiXxZi2aPjWO/V4ma8ilKvI44OLIkFJdf295SdqadR28vZchIJcNfnYxM0T5fjK3SwfLX9lF0RE/KuzfiFd264OL60O3M4vi7ywifPhDGTa83q6MltQMsRzIp+/pnvPqnkHDro0gU9fuQm3PxEV0uDPt3UbLqT3xS+9Nv5hPIlN6Yh8eSh0D08BlNvj93vRW7jYL9Vf2TGspAaq4rqS4NWXAaEjwNre9yOTmxayEhk2d4RryIIvkbFyJRe+F3yQUt3j6iVMu2J2sXvh7w0ctUtsGULooilgNH0P+5BpexEt9pEwiOHn5O3tHWZcdp8QLQu7DAI/s819xNnh5vY/tr7DVPixuptxr/IaPwHzIKm66MshPbKfnoW6Q+GjQTRuI9YmC99Wa6qepyHfTEAxh/+J70ZxaQ/PwsZD4df6NyTllgfFdU0uPuMiSOKnP3wY3hOGI9l5++YbWZVx7Xcs/jfojTJnhsv3XR5hhZ+Oh2wpL9UN9xhccqHrocTnK/20TJ6sP433IdquSz63PUrB0wVxS5XhDwk8vqrR0g2h2UL/qLyu37CL/4ajSJjbugtJvXULJyCSGTp9d7obMWF1K05BdEh52EIZejDo5pVdBstbUjYuBkpDJlg9YVgOK0zbicViRSJYE9B6I/mYZfbCr6k2kezTxqiOyTa6jMPk709Xd4JH6qOGM9xrVbCXvm3hb771//biHX1QjUdQF9PnqJylaWcBddLsz70tEvWQ1OJ8EjJ+OTOqDLpUG3lmd//5kb9m5zLw966lXMqpaXX6jLuWiB0e3YhAD4t7JTfM33DLTKAtPU9cUTiC4XpsyjaA9vxpqRjXr0YHzOH40sJKhdjneuI7pcOJb+QvmuE/R+7UpU4Z53E5/7Fhgn9B1yCkWpq9bTikKHRwSMyyXy9UcGfp1n4pIPxiH295w1pC7H1uaz9OW9jLunN4bzpngsKNhaUsGx1/9A6qUg5LmHG6yD0NzaAfb8Ikq/mI8sOJD42x9r1kWroTgAl91elV20awtB46cQEzraPcm1ptli3fL+7jHXabwIULB/BX7RvdHnpVNZltuqpoytxVxeiHbLWvyHjMJZaWrzZGU6fhT94tWEP3NPi8XLolc/ZvCJXPeyQaWg38evtKqKrCiKmPceRv/HKhAEQkZdiCa5z1nC5VybqGsis9tqiZd1PZM9Il7g3KvjIlNrkCoUlKxcgiU/l/BZs1v8fda1rDT0/hv7bDoizkiQSNAk9kaT2Bt7uZaSIxspfPVjlEkJ+F44HmWvuKZ38g9CkEiQT7+K8PAVHHr4R3q/ejnqnh1XL+acEDDeaXaqDXkiYBwiJ2NBKHigPorJ6OLFR7SUlTi5Zu4UNCHtYwZzOUU2/DeNQ3/m0vOlq6joHemxFGndziyOv7OMiFlDEEdPa/QOOCcsmPdmTeaFz+aBVFpVO2DWZE6GVt1hiKKIce029L+vxP/yqQTHj262yKrv4lOZnUnh4p9RhoTTZ/qjKNR+tawkzektVJeGitZVN170iUzEabcR2HMgUBWQ6xPe0/2/ZlNGp92GVK5olpBpScxNYI/BZGyZi8zHF+2m1Ui9vNo0aVmLC8n/fS7B99zQqrvBTak93QLmg4sm8f7lLS92JYoi5v3p6H9bCQKEjpmGOrlPg+eHJ1wPnSWC9r52pjljCXBVj0R8TcZzToh5Ct+Bw6nMzsSUkY5h344Wf5+eEB8dLfzk/oFEjpyJa/BUSrO3UvrlfGSB/vhePAlVn8QOr4fSlXEOnUJ8kIbDTy0g+fmZ+PVvQy+2FnBOCJhqHD4CB7eGI/p4Zti5OQ4eva2EfoOVDGvHeJdKnZXfn9qFyyWS/J9bkft75k5OdLrI/X4zxSsPEnD79ZDcvLoxDdUOcFaY0P5vAc5yA3E3348iuPXB0E6LhZKVizEdSyNu2KUExPVzv1bX6uKpCrruDKDTsTE1mzfKEtW1xEfNbKHmWoCaYy2qXqesNB3R6cReWow6sXebLtwOYwW5P3+F/1UXo0pKaPZ2A49no7A52JHai3cvm8aEg8f411XT2dG7Z4uOL4oilsMZ6H/7C9HuJGTMVDQpfZu8gHti0mqtCGqu8KlvvUv3bqemXXfIeZPPqZiV9kCm1hA+a3YtN1BLt2/rZ9fUd9peYleiUBKaNIGQnuOoOLyP0p8WI6iU+F0yGVXfpG4hcxpLwmgCbwvh6L9+JPGJiwkY1rYWI83hnIiBGSoVxB/nB2Ma6blsoG0bLTz/UBm3P+iLZEb71XcpTC9n4SPb6T0lCuHqmR6rqmvTGjn2xhIEiYDmhhuQNpA+V1+2Uf8TueQH+lPq50OwvoIInZ6dZgtlX/+E94hBRAy9uE0BmMaMdIoWL0DdK5mElBnIlLW/N08Ui2us2m1R2iYEQSA09Uy2UM0sobr1XZo7luZaYE7tXoru1GFibroHU0Zamy6oLpuVnPn/RdUvBf+Zk5u93Zqn36ZncSlOQcDgpWLgRy+16vjWjGzKf12O02AkZOzUDo9xae2k1Nx4ifrWe3z5b4w/mkZPXSkfj7uAD0eed866wv5ONPWddkSMDFTFfVSk7adk83KkGjX+l09DmRjfbsc717Aez6bsk+/o9ehUAke2vcfeOR8DU9lH7jHxIooi87428t1nBqa9OQbp0Par73LgjxxWv3eIqc8MpGjABI/t13Awl2NvLCb0wn4IEy5pdEKpL9uoZu2AEo03x1dvxrRpFxGXXIu6Z+tTuZ1mM8V//YY5O5Meo67GNzKp3vWqXUB2i9Fda6WlQqba0lGpzUemUlNZdgqroRS7uQIQQRAoP3kI/7h+hPU5j6DEYTjtNpwOK3aL0X28hqrmNjbuauoTNKLLhS4/nYjLr0cZGo4ytPX9skSnk7w/v0ceEdrsjCOZzcahB17By24HQCqKrOnX8u/UlltA+a/LsecV4jfzAoKjR3RKOfaad+4tETPNsf44TEZcNhuB46e413v2jwXMPLiboxFRXHz1zWSFRyLjn2t5aS3tYQ1p6jvtqFo8gkSCb99B+KQOoDR3O6VfzEcRF4X/lRe1uibT3wllr3iC7ruF4+9+Q+LjFxEwvP0sMeeEgPEUVovIa89oOZ5u55rvJ+MX6RlXTl2cdher3jnIiS1FJL95PUXxnjmpRVEkf+FO8n/egf/NVyPpl9Lgus3pVOoo01H6xXwkKmVVoG4r+tFUX6ikvgGUrlyMJrkPfac/hlR+JtW6IctFawJ4rRVatCf2ocvehyCRYTdX4BUQQa+wXngnhIAgUFS0n7DQflitFWRX7CJ98QekXHw/UrmCvF1LzipE15Jx2C1GitM3VVVLhFpp3C6Xk4ytP+A/dFStbtOtQRRF8jf8gmi3E3jT9c2yEI5My+D/3v2qlhvx+gfmsHFAw+dJXRylWsoXrcCSloHvRROJueSWNhcr9BQtcSc1x2Vh2LeDsvUrCJk8HZlaw8PLf+eGPVWF/YaePEFWWOdXGj1XaY9U8aa+046OkREkEkLiRhF091BKjqyj6PX/oh49BL9LLjjnK/y2FWWPGILuuZmMt78l+dkZ+A1sn+DnrnFl6gBKipw8dmcp4ZFSZnw9FYV3+7x1Y5mFRY/tQKmW0euDW5FpPHMiO0xWjr+7DGuxgZCnH0AWHNDo+k1lG1XuPYz2+1/xnTKO0NTzW+0W0O/aQuna5UhUXvQafxO+kYlnrVNTINS0dtQXwFuf2LEZy8ndtRibUYfVUIJ/XH8SIycTkJqARHL29xgXMw4AldKfAb4xHJIvo2DfSiIGTq73eE67jYiBk5sVSFyWsZOCfSsBiBg4meih093bZR1ZjESpJOi85rt6GqJo33KsWbmEPXlns9x5ow8dY/77X7uXbVIJo//9BCWBjZ8n1TiNJgxL1mDasgfNpFH0uOcZpCoVDpOR8u1dw32iTupDZXYm6qQ+Htmf78DhOG02XDYbrgoDd25b735tT3R8qzK0/g54wnryT6pMLJHLCes3maCEkRRu/YOC597F/+rpeA/r/4+Oj1H2iiPwjus5+tpcUl+7Ak1S663RDfGPEDCH91t5/M4yLrtWjf8Nk9rtpMo/pOPXR7fT75JYXJddgiDxzHEqc0o5+vJv+PaPQX39Tc3qZdRQtlFOoB/l/7eYyj2Hib7yljZV1K3MyaJ89zZUkTEkjroBpW9VdkxdEVJTqDQUwOsuTuewugVCQMJAitM3UZK+GZfTTkhwX8Iik4gMHoZCXrvLss1uIu9UVdprdNTIWq/HeQ/k4PEFxI689Cx3UVnGTgr2ryB66PRGm0FWL/vFpuJ0WEEUCO09xr1Nnm4Xpox04m5/qM0xIiVZmzBt2V3V46iZd3JxJWXkBvoTrS3nZHAA5735VNMbAaLdTsWqzRiWb8B7aL+qkv81mk12ZtG1uhOp6dhhTBnpeMf3RBnS/FTNhibkmunBj6xf4X5eBK677QFPvpVzCk985+daqrgnkGl8iJ58HebkExQsWYBpyx4Cb5iFLKh5NxF/R1QpPfG//grSX1hIv/evQxXh3+C6apOVzx+cy50fXo9J3byGm397AbP8dxPvvFzOpOeGETCp/UpEH1x8klXvHiT2/osQxyZ5LEW6dMMRsj5aSfztE7D1ntCibetmGw3dtJtvlm9A6qsh4dZHkHqrm9xHfRd/0eGgdO1y9Pt3kjDiSvxja98R1xUpNWNHGkqbLk7fRMG+lYT1HU9o6nkYS3IoOLiG4F5DGdz/NnT6EzidNrJOrEQQpG4rSzUFhXvIzlkDgFSqqPW6TKrE6bBQeHDtWdV7GxpP3fdQczlq0NRa6xqLTlCybjExN9+D1Kttbsmyoj3of19J6JN3NRiYXc3A4znMe/dLfhw/gteumcFP40cQXVzGyfCQJo8julxU7thP+cLlKOKiGsw664g76YYERt2JtO5YmmspaGxC9h04nNHHj3DHiePu58Y9/IJn3tg5SlexnpyrdYS8YhNImPMIRYdWUfjKR/hfPhX1uGH/WGuM9+A++AgFpD/7C/0+vL7Bir2jt2eScLKMUTsyWTUxtVn7PieykJrqhVQfLpfIp+/oWf57JRe9P57QJM9XCARwOVysef8QGesLiXv+arw9Fe/idJHzzQbKNhwl4M6bUMS1vONzzWwj+ZY95P7fH3hfNLHKZVTPj6m+C0bdyH5rSREFC+ci9/On56ArkXudPcm2NMvIbjGStW4uFQUZKH1DcNkthKaeR0/VYGSyMye7zW6ioHAPwUEplJYdISJ8sNvSUm2BcTptSKUKtxXGZjeRmbWC0opM7CZdreq9QIMdphuywNR9T9aKMtKWf0T4JVejSWrej64hTJnHyP/tB0IfvrXJ7/vOpWt5ZuFyAJxAj6/+3WyXh+XYCcp/WgIChE2YVdW1txNpKHukqQmsuVknje1H6nBw6NUn3DccR0LCmXXvEx55X+cCXVkkdFRWUXtiLSrg1J8/IgvwI3DOFQ0WGPUULe1x15HYl/xMZXYpqa9fWSsb98XXFzNu23H0Ngc/uERukAj4KWRsHNmLl5+Z0bWykARBiAG+B8Kpqmb+hSiKH3ryGJUmF88/rEWvc3HlDxeiDmyeOaqlmPU2Fj2xA0EQSPzgVo/1grDrKzn2+mIAgp95EKmmaUtJfRxIiEF0OtEvXIZp614ir74N79j664g4TEYKf5uPKaOqUm31BePM3dgwyndtoXTNMoInXUR08IizRFDNSb6ua6jRxokH1lBRkIEgkRLUcwiJ6pFIpWcqcVQLl4jwwUSEDybtyEK02qMAtSwtUmlVucPsnDVIpYpa66rDehDWe4y7jQDgdh+5t6/RlqBuxlHN5er35B/bl2Mb/kfQuAvaLF7Mudnk//YDwffcgDTQH8Py9ajHDEXqU+e7F0X+fPlD+uae6ctT6N+8ruuOkjJ0C5ZiO5FH6ISL8ek7qEuU/ffpNwSnxYIqJgFrUT5IpEhVXkhPuyEcJiPazWvOmmSbaylozJ0xNDsLJ1UXQhec0+KlNWKkK/dl6iqWoLagDIsg4caHKNj1J4Uvf0jQbdegSmlZHaaW0JIedx2N7KIrED7/guwv1pJw9/nu57+6aSyJWcXMP6XjWUTsgsDsUF++unls0/tszwE3gAN4VBTFPYIg+AC7BUFYKYpimid2XpDn4OHbSkntr2DEa1OQytvnAl1y3MAvD20jcUIE0mtneay+i/F4EUdf/o2g8clIJ1/apgnGqa+g9Iv5CBKB+NsebdLMbspIP6vomkytwW/QCAr/+Al7uY6UC+/Fyz+sVkxIdV+h5jROrNWryOXi1N6/0GUfwDcqhb7RM1Cp/M8aW0HhHjKzTlsbnDa02qME+PckInzwWevEx02iZ4+pRIQPpqBwD1rtUQSJlJih09GExrnrwQDu1GoEEZfDRsG+lTgd1rNcRHVFWPV7Kjy+BZ/kPgSMqO3OaimWwnzyFnxD0C1XoUpKwLB8PeULlgLgO3W8ez253c6xu59DUsNouqp/Crc+OKfR/bvMFvRL1mDauBOfKeOInno9EnnHN6lzWa2YThxDv3s7glKBo1yHXVuG02JG6q3GmHYApBJEpxOXuRKXzYYiJAyJQok5JxOomsxqTtJtmXRDdWV8Nv8rfho6huHHj3Ll3Q976q12CtVipDI7s9nl/ruySOiIOJqOsEAJMhmRI2diCk4h/4t5+Jw/Bt9p4z1689CcrNPORpBI0Nx4IyVvfIhPahTB46uyI09FBfDVjWO5//U/EGUSbnGJfHTjWE5FNh071OECRhTFAqDg9OMKQRDSgSigzQLmwG4rj99Vyg13+KK6ov2K02WsK2DJS3u44NF+lA0/v+kNmknJmjROfLqaHvdNxtJjTJv2ZT2eTeln81CPGUL44Iua/LHUvJDV/CFX5mRRsHAuPqkDSBp+AxJp1SlTPYmXZuzAoi8GzsSR+MWmuuu71I0xqd7OUJCBqTSX4F7DGD30EeTyhs2d1UIlInywO1BXo4lwW2UUcnWtdQC3q6nMkYfDZkETGnfWGMsydhKaWhWIe2rPX1UHE88+Z+qKsKBeQynJ3YPM15+QC2e26SJoKy0mb/7nBFx7CV79q37Q6jFDa/2v5tNP5tYSL1NefICjsQ27mkSXC9OmXZT/tgKvvslnBei2N/ZyHWXr/wKpDMupk9hKi5F6eeMwlOMf15+o/tNR+gQj99IgCGefn067lUrtKYp1h7AWnsJ0/AhOsxntptVA2ywGEqeTdR++hgS4etdm+r3wDmIXsEa1hdaU+29MJHRl95Kn6EgLlLpXMvG3PEze7//DlpNH0K1Xe6zbdXN73HU2ErU3AbffSNaHX6LuFYZXVJVIOX/9ETQqOb7Xj0YzdwuTNhxh3XlN16/q1BgYQRDigQ1AX1EUDXVeuwO4AyA8Sjrkzy2NB+Au/dXEe6+WM/nlEfQa5/l0LaiqzbHtfxnsnJdJwnNX4NPbM0HBotNFztfrKducQcCdN6OIaX39CVEUMa7Zin7xKiJmzG61a0N0udBuXI1uxyYSRl2Ff0zt/dRsnOgX3Zv4cde4Y0Xqe756bNrM3Zzc/hvqkHhSo6Yhk6kazB6qL7Oo2p3kdNrIzllDzx5TzwrozcndSGbWchLiLyCveAe9Js1BHRJba51Te5e7U6ujBk1t1NVV8zWZUk1m2m9YiwqIvv4OJHJ5q331Nm0ZJ+d+jN/MKWjG1uviBUBjNGLUaMDh4Ni9LyBzukj55F/YFA03MrVknEA37w8kCgXhEy9FFdW63iQtncTshnKMRw9jOnoY04kMcDrx7plMTNIFqINjcDqsrarC7HI6OHlqPdpt6/HtN4SgcRe0aVI9+NIj7nYBDkGg74vvtnpfXYm2tFCoS/V5rU7s3aBFpyXnR1cURJ4cU3P35XI4yF/7E7bcAkIemIMswDM3FRftOsALn83jG4mkKuv0rmtZOrS/R/btaaS7V1C86jD9PrgOiUxKytECikJ90QWoCdCZCCsxcCSpah7sUjEw1QiCoAEWAg/VFS8Aoih+AXwBVUG8De3H5RL57F0Dy383ccUXEwnp1T53mA6rkz9f2ktZdgXJH8xBGdLyom/17rfCwrE3FiM6XQQ/9UCr410AXFYb2h8WYc8tIG7OgygCWxdQ7DBWUPDrj4hOB30ufhiF+uwAaLlKQ/y4a86ajKobKqr8QtHnpVOWsZPwfhOxVmg5uX0RVkMJ/ZKvITCwqsR0Tu7GBrOH8k5tO+s1hVxNXMw4bHaTO86lJqbKErTaDGKix2JUVeIbkYg6JPZsgVJtaTn9v6EGkXVfO3FiBeacLGLm3IvLZqV8x0Z3XZKWmOHteh0n532K77SJDYoXud1O+mnBMvDDFyjXqEn98AUcqoZjrRzacsp/WYY14wShE2dUxbk0Yols6qLbnDtUR4WBisP7MBzeh62kCE1SKmHRw/EecCnlOQfdbkaVf2ijn3NjSKQy4mPPR+4fROnqPwmZOK3F+6jmgeV/1Op1NK0FcS9dcRKuSXPdLs35Xptj0WmJBaMrxdvU/B49NZbmvj+JTEbUBddSdHAFRa//l9CHb0Ee2fYOzg31uOuKOAZPRr7zBHnzthJ741iOJJ+5adcFqNEFNG8e7BQBIwiCnCrx8qMoir+2dj9mc1Un6dIiJ1d8337BusZSC788tA2/CG/i/j0HqarhO9+WUHmyjCMvLCRgRE9k0y5vU6l2R6mWkv/+gDwilPgbH0SiaNw0aS0pomTFH4RMuaRWTY3K7OMULJyL78DhJPSYgiBpeEz1TUY1XTT6k2kE9RxC4cG1FB5cQ1if8QyKv7pW8bmI8ME4nTb34/rwrxPvAriFDNQO8s3IXIauPBOXy46pVEufWY/VsgpBlRsoNHWMuwt1czlZsBHDgT1EXTMH/e6tOG02tKfrh7So0aBBz8kfP8Hn/NH4TBpV7zpRxaVsefpt9/LC1z/h/Ncfb1C8iHY7hhUbqVixEc2EkUSdfzUSRdO/B92OTWjXr8BpsxEycepZrzcUI2Ev11GycjEOYwXWonw0yX2ITr4A34mJbjcjVH3WNeOO2tq4M8p3IMaog2i3rkMil7dYSAQYDNyzbZ17eVG/weQGN3/y6EqTcFtoTuxLcxo4tiSGpivF27TH99iS9+esNKGokOMzbTxFb39ByINzUMZHt+n4n08dz4vXzqTUz4dFIwcRodO3aX/tiSAIeF89m8J/vU/g6EQ0vVon4DrchSRU3Q5+B2hFUXyoOdvUl0ZdUuTkkdtKiO8pp+8zF7RbJ+miI+UseGgbA2bF4Zg1w2NxNbodmWS8vYy428ZjT53Qpn1Z0o9T+sV8fKdNIDRlYrPGmPfjl+6g3ejrbq9yGW1Zi27rBnqMuQa/qOaXn2+ISm0+2Zt+QpApCFJEEXvagtJc6kubBtxipfpxTXdScFAKx44vwWgrJWbYJQQmDHBPoD4RiWjC4s9Kma5JQ66k3NJtlG1YReyc+6g4vJeSlUsIGj8FiUJRaxJtsmNuhYGcH/+LeswQ/C6qfzL/+JO5zNh90L3sApI+exW7vH7hbN6fju7/FiOPDCP8vEtRBAY1/eGepnTtcsrWryBo/BSC6xEwdbGcyqV8z1YM+3chOhwE9hhE/JirkcgaFvVmfRF5OxYTPXwGXn6tu1DV/F7M2nyytv2EQ1/eYrfd3pcfw0t0AVUF6xIff6VFFpXOssDUPW5j4+jqVqLG6Kixd/ZnVNPtLA8KpXDpz4TcfxPKHrFNb/w3Qp62jsI/9tD/Pzc0mAjT1VxIY4AbgIOCIOw7/dwzoigube4OjqXZeOjWUi6b3b6VdY+uyWfpK3vdzRg9cRRRFMn/ZSf5C3cSdM9N2HvFt2lfFas2Y1i6lshZN6DucXYZ/4YImXKJ+7/TbKbwt/k4TBX0uehBFJq2VY60mfSc2DSfyrJ8YoZNR3qqnMwTfyGRyN1un6aETE3xkpG5zJ02XS1Wquu91M08ksu8EQJ88JMGEpgwADhjFaqu8lu3F1JN6sukytPtomzdCmJuvgdBLsdpsxE0fgr+w8eedfFr7M7OYawgZ94nqEcOqle8SB0ONj71FlE17pyygwMZ/+8n6q3xYi8uQzf/DxxFpYRPuRx1r5aLTv/hY90irCHs5TqKV/yOtaQIp0GPMiKKxAvuoLL0JEGJwxoVLwD6k2no89LxCe+JV7/WCZia30tw8kgcJhMhk6efNe7GJqbxRw+7xQvAkKdfx7BrS4vuxDurwmzd86qx86wrWYlaKhTaOvbmHq+zKwXXTZoQJBIKPvqO0IduaVXNr3MVW+/xSFceonDJPiJm1m+Bb4zOyELaBK3XAhtWm3n5MS1P/iuAirHneXBkZxBFkW3fZrBrXiaJ/7qaoiTPNHVz2Rxk/mcFlZnFhDx1f5tKTIt2O9rvF2HLzSd+zkPIAwJbtL0yJIzo627HWpRPzpfvo+6ZTNKIM1lGzanfUt86Zl0hx/76HLvZQEzUaKT5eoKDe+N02dGVZ6HXZ2OzGVEoNI0Kmeq0aK02A115pjttujqoF2pnJ1XvJ8OyE3N5ESkX3+9er2b365pF7OqjbtbUKf0eSlb9ScxNd6MICkG7eQ3aGg0A69KQGdlhrODkvP+iHtYfvxn1Z66NPJqFwuFwL78743z+M2vKWeu5rDYMy9ZhXLsV3wvHE3rJLc3ql1QfjV3I7eVadDs2Ub5jM6LDjndwDHarBXN2JhV+x4kaXJXh0NS50lC145ZQcx9SuQocdgJGn21tbGwCVNlsfDFqArdtXce3w8dSqVTV6ofkMBm77F1/3fOqMXdFV3LVlO/YRNn6FbhstgYtfDU/l7aOvaMEUFv3Wfd3p0lKJfD6Syn58H+EPnnXP6artSAIeF9xBbnvfk7whBTkfi2rZH7OtBIQRZH/+9bIt58YmPnhOCr6t2zCbi5Ou4vlr+6jML2cpPc9F6xr05k4+spvyAPUBDx6f5vS55zlBkr++wOyQD/ib3igWbEO9WE4tJfipb8ScuFMov2H1HqtOR2aa64T1nc8xWmbKNi/ipDeY7HmnABB4q7fIpUq0OuzAdAb8jAYsnE6bfSIr38yrxYnNpsRXXkmfn5xKORqoqNGuq04dnsluvITBAeloJCrKdNmUHB8Nb0vvh+Xw0ZJ+uZmZbvUnYCr3+8p/R6KV/xBzI13u+OEmrrA1icIqsWL19D++M08u9Hj7UvXczAugs19kpj96G0seuNTprz0EPmhtV1BoihWuYvm/4EyPpr42x9D7uff6HtrjIYu1sbjRyhdsRiboRz/QcNJmXYvFQXH8YtN5eS2RVTkZ2AsPoHdYqxVFwfqP1fqxkq1tFJz3X04rGYEhRJnpems8Tf0/ax7+0XCTRUA3HfVzaxKrQpurNkPSaJQtOtdeVsm17rnVWPCs6HXOsNtItb5Xx91P5ezfj8tGHdbBFBDxTzbSnO/96DQQbhmmij54BvCnrn37CKWf1MUUeEEj08m78etJNzTsrIk54SAEUV4+8Vydm6xcNW3F+Af1T5frFlvY+Ej21H5yIl/aw5SL8/k6Fdml5L+wkJCJqYiTLqkTQWMbNl5lPz3ezTnDSdswNRWuc9El4uSVX9iTNtP8gV34u1/tsmyOXfN1YXg7OYKji7/HNFpY+iAOykpTaNAdwxf32i3awdwB+s6nTYMhuz631+NgNzqbCOFQkNwUAo5uRsJDjrjJql2LWUAvRKmcDjjF3pOvAmlT1C9gaMNTbT1uo3Kd1OycgkxN9yFMvRM/FVLTc+OCkOV22hY/eJl5XPvkFRQQrmXisueupuMmEj6fvKvs/dTokV72l0UMe1q1D2Tmj2Ghqh5YQ0YNQFTRjrazWuwFhfispiJHDSVyJSqMauDq9Kwe4y/3h0QXZ1h1lILS3PEcWNY9MUoAoPrnRhkas1Zxe4+mPe1W7y4wC1eqmnNpNcaMdDZlpHqz8tls9VyG7anqAkYPhZpEy7Kpj6Xlgi/triGGirm2VZa8r2H9BiLY4iW0k/nEvrIbQiy9ont7GpIJ02n6Pm3ibh0SKMNH+tyTgiYvBwHfv4SZn1zISrf9qkgqj1p5Of7tpI4PhzJbM9V1tXtzCLjraUk3DkRa3LbXF6VOw+gnfsb4RddiU9q69LjnOZK8n/5AVwu+kx7CJmqfjFY0+1SXZSu7t2yXKXBbtZTemw7PuG9GJpyGxKJtF7XDuC2tlSLkvqyjmpW3a2ZNl1d20VXfsIdD5PYcxoZQEz0aPamf0/siFn4hFf19alvUm1ooq37fF7ZDkrXLiPmxtripaU4DPrTMS8D8ZtxQa3X/A1Gtj/xBip7lcvI32zBx2I9ax+i3YFh+XoqVm3CZ8p5xMyYg6SGu6itbgnRJSJRKMn+7B0EiZSo5In4jOpJWebuegVJ3fT56udaIkTa6lIqs2XhFRPf4MRQc8IbF9uDqccOu19bMODsYzZn0qv7OXdEnImnLSbVn5PTZnOPHWhXl0tzPtum1uko4ddQMc+20lJRFT5sOifzvqL8l6UEXDPDY+Poykh9NITPGETe/K30eqT5JRLOCQEjVwhM+GBqu7UFyN1Tyq+P7WDc3b0xnHd2zEFrKfhjD3nzthJ0901YE+NbvR9RFDEsWY1xww5irrsTVUTr0u2sJUWcmv81mqRUeiRPbzRFupqG7pZFl4v8/Ssozz1MZPgwevSYjOT0/qpFR2iYLykpkag1UnJyDlGQr0CntddKga5L3Yq6dZ8PDkqh1D/BLY56J1/KrsNfEd5vIoE9BrnXr29SbWiirfn8yaLNaDetIeame+rtztxc7HodJ3/8BPW4YWcF7A47kskvb39R67mb7r+Zfb3iaj1nSctAO/e3qtT42x5B7n+227S1E6nodGI6ehj9nm3IfPyIGzAD36hkt0WvIUFSM6OoJYXoGnLTtYaKI4fchezqe881J6IFb5/pLG2TSHjx0tmtOmZDnbHVSX3q7dPUnH209JjNoTFBUf15OUzGs6winRVz0hzqs6rVR1szszo7sLcaQSIhetp1nPj6PZQpPfEe2LJipM4KE6bNu+rvpdaFEUdMQfvcm1ivH4MytHn13M4JAaMM82038XJ4WS4r3zxA3OMzMQytv9FhSxGdLrK/WEv5rhOEPHEvspDmp7WetS+7nbJvF+IoKiF+zsPNLgVf9wdrykinYNF8QiZPJzqw8TvfmpNNfXfLdouRE+t/RHQ5GTHwPpSK2nFCcXHB3HjzOPr2qxJaTqcVp3MYgiDl0ME8XnzpBVyOJORy71rtAJqL02kj79Q2wkL7cyDj/wjqOZSw1DOCyG4xUpy+CUTB3SqgOWSfXIN+zzZi5tyLIqD135ldpyXnx0/wmTQK3wvPq3VBeWjNFh77Y5V7XYtUyqAPnqeyRudYZ7kB3U9LsGaeJHzKZWiS+zR4rJbenYpOJ/p9O9FuXIU8IIgeI6/GJ7z5zeXydixGn5eOy+XALzK5ycrFNQsceqIWjEVfgl1birpnw2XGqyei77/6gJpXjf7Pv93gNk1R93OuPkZ1Oiw0PYG39LtqL5FUd6Kuftwai486qQ+V2ZnuYo7tRUPvq+aYz5XMrOYg9VYTecl1nPr+O5Q9Y1vUxdq0eVe9vdS6OlKNNyFT+pK/aBcJdzbvOzonBEx7IIoiW746xt6FJ0j893WoE0I8sl+n2caxNxbjstgJevx+JOqWRVXX2leFkZKPv0fm70vctfe1qAFf9Q9WFKsqP5ZtWk2vCTfjE9i4SKuv6FvNCcdUmkvm2u8IjB9ISuBEJEJtK86o0YlcelkKSpVAVejemRgdUXQSHqHk3Xef4+OPv2f7tiO13EVwtgupmrpZSQB5xTsJThxOxIAz7pm645fKFU1OmKIociJjKcajh4mZcy9yX/9G128MW1kJJ3/8FN+p4/E5fzRQ+4Lyx7ABPPrHKgTgQGwkM1588Mw4XC6M67ah/30VmvOGEXXB7CYLEjb3rlF0OjEc2E3ZhpXI/QPpMfpafMJaJtjtFiMqvzBcLgfeAVENCpL6xIonMpEA8nI34jdoRJNFH/0rTQzPO+lefubiK+pNRW8uzbH2tHYfTa3fniKpJq2Z5E3HDmPKSMc7vmetgpgN0Vq3WHPchedKZlZz8Y7rgXrUYHTz/iC4BQ0ZG+qldi4gDL+A4lc/IPbGsc2KQf1HChin3cXy105nGr13M4ogD2UalRlJf34h6p6hKOdc0+rUVgB7YQklH/4P76H9CR96cYsDf6vjG2wlRVgKckmd+gBKnzMuiIYyQapbAfhF9z5rsinL3EPu9t+IHX058a7kWgG3CrmauLhgLr28N5ddNh2VSsnChb8THl7VL0oqVVBSUsKVV16J2VzJwoVL+PD9qqZ8EeGD3fvy840jMDC5VrBu9TpwJisJQYJ/TB+iBk+rFchcnLYZfV46mrAe+IT3anLCFF0ujh9ciLXwFDFz7m2T79taXEju/M/wu2QymvPOXCgHxUYS0CuO7WOGkuOj5l9XXsT2xHgO9TzjMrLlnEL7w68IMjmxN95bb+xNay7+osuFMf0ApWuWI1VrWmxxqUlZxk6KDq8jeuh01GHx6PPSUIfFn7VefWKlrW4jAFulAcPBPSTc+2ST6w7JySLbP5D4ci0ZQSH8Omx0m47dEB3hdmhq8q15XrTncRrapiVp6E2JpIbO8eYIyNZkZrUXnopfCh88jawv3sKSloEqtXl1vqQ+6nPK8lITWXAAPn2jKV2XTti0AU2u36xZURCEKwVBsAqCEFfjuQ8FQcgUBKHtTRw6EKvRzs/3b8VUaiH+zTkeEy+V2aUcfGgugWMSUV55XZvEi+VoFkVvfobvRROJGD6jxeLFYTJSvmsLpswjOE0V9Jl8fy3xAmfukssydtZ63i82Fb/o3rViHETRRd7upZzas4zBfW8h0hpNTu5G8k5tIzNrOWlHFmKzm7jx5nF4e3vj5eXFsWPHuPzyWZSVFaNUyigvL+eKKy7j6NEjeHl5o1aruWnOBHTlJ7DbK90WlvSjv6LVHqW07EitcVXHzYSHDkCQykF0Yassx2E11X7zQlXCpjokBmkTFiuXw87RHd9j15URc9PdbbrQWPLzOPnjp/hfcVEt8fLSj7+x5t2v+OV4DrkPvUJSbj5fTx3vFi8uixXd/y2m+INv0IwfSdzs+sULnLn4G/btaNaYTJlHyfnyA8o2rSFuyExSJ93TavFitxhx2m1EDJxMUOIwCvevxqIvpnD/6rPWrRYrLYmRqXmcwoNrsVuMZ72Wc3wFfoOGN+lGvWPNct7/6X/kBQbz0rTLmHH/0y0eR1txmIxoN6/BYTI2a7kxqiffhs7PmudFS8+RlhynvnFXp6GXrV/RrGP6DhxebwHC+t6Lp8bcGbTle6iJRKEg7PyZ6OYvRnS5mt7gb4B06BiK/zrUrHWbO8v+AjwJPAfcLgjCY8BsYIwoikWtGmUnUFFk5qf7txLVLwDVrVd4LNNIvy+Ho68t9kimkWn7PnTz/6iqrBvfulRZ3bb1aDeuRhUdR8r4OxEk0rMsLg2Z9GtWTZUlqik5ug1jcTZOayWRQQNRKH3cYkOjiUEm80KrPYogyTsd8yLyyy+LuPzyWRw7dpTLLpvJvHnzufba2Rw9eoSkpGQWLVpCSEgIAQEa1OpKDhz6kf59r3NnGAUGJteboWQyFbP/6Dwi+p+PqSSnVipvNaG9xyKVKXE6rI3GXFj0pRxZ8znKsEiirru9VmZPS6k8eYJTC74h8MbL8B7ct+pJUWT//S/hb7YAVY603EA/jsWc6WBeuS8N3Y+/o0rpQcKdT3isxoUlP4+SVUuwl+uI6T+NgPj+ba5WXZaxk4L9K4geOh25SkP08KrsiOr/jdGSui8NxcpUavMxHjnYpPVl1s6tPLKhqj/V2KxjPHTVTUDH10CpW8Ct7rInYzLqOy/ay1VS37g96UY7F1099eGJ93HmnB2GRO2FadteNKOHNL3hOY5X32TKv1+ApaC8yZTqZl21RVEUBUF4BvhTEIRM4FlgkiiKGYIgxAA/AKGAHXi5LQ0a24viDAM/37+FwVcmYL34Yo+1HyhZfZjsz9cSeMf1WJNbd3cLp9sCLFtPxdotxF5/N8qwyKY3qgdL4Sn0e3eiTuxNryHXuDONitM2U7B/BXZLBXKVD0GJw+qd2GsKm6rCdCvxCowiwi+VrBMr3UXkaqYze3mFMH58VZVNp9NOYKAvf/yxhMsum0laWhoDB1aZAlNTU1mwYAGBgf4ASKVKxo2bzLx531BadoTUlMsbDOot1+dw4Oh8YoZOJ6jX0FqTYk2aU3XXZion/a+PcZoq8B86qk3ixZR5lPxFcwm6/Wq8+lYFlsbnF7PmhfeQ1ugz9uLV0/l2SlVMj0NnQDf/d+x5hURMn+1uAdHWlFR7uY7SNUsxZR0jaPwUooNHuDPD2kpdwevlF0bi5NuatW1LAnhrHsf9HfccStbuhQRPnIbUu/Fg7zf+XOB+nOcXgFFVFRzd0UGcdQu41f3vyYm6oaDcltIckVffuD3pnmkvV09HC9gW14uqZ3w1z9nQ0dMoWLIA9chBbaojdi4gyKQEjU2kbONRoq4a0ei6zb5yi6K4QhCEncCrwAxRFKt9Dw7gIVEU9wmCEArsFgRhuSiKla19A54mZ1cpix7fwQWP9aN06CSP9TQ69fMOChfvJejhO1FEt75eiOhyoZv3B9aMbOJufrDVQaSmrGMU/DKX0IsuJcpnYO0XT7tWjCW5mIqycNpt7lLwNakWABZDKWXHd6EJSyBYGU9IcB8EQeoWF6kpl5NzcgNGYwFJiTNOixIREJFKFURFBjBv3ny3eAGYN28e0dGx2GxVplBBEIiJSUKlCsLPN67B9OocyTFyjiwkYdxs/KJTao2zIRp6vVKbz7G1X+M/dBSCXIHfoKoLcWsucGXFe9H+9ivB992AKrEqIDZIX8H65991ryMCI996isKggKp4lPXb0f+2Es2EEURPvQFJjQaNrU2b1e/agsNciWH/LgKGjaH/rKeqyu17gJpCsbUxLC0J4K35vVUXI9RVnECQCPgNbvxiduClR9y/bRG44OHn3a+195193fOnbgG3usudnbLrcjiwFuVjLTyFrbQEe7kWS34uDr2O0g2rEBAR5EokSiVSlRcyjQ8yX38UQSEoI2LqDaLu7AaJjdHVs5CasmxJvdVIvL0w70vHe3D7Znx1BVxJQ9D+9ZfnBIwgCJOAAVRZw91uI1EUC4CC04+LBUHQAcHAyfr209Gk/ZXHijf2E//UpZQOimt6g2YgOl2c+GwNhgO5BD9xH7IAv1bvy2WzU/blfFyVFqIvm0PFwT0NXgAau0AYDu6leNkieo2/ER+fsy1B1a4Vu6UCU1GWW9DUR2XZKTJWfkVYn/FUZh0ju2gtUpmylrhQyNUk9jxTcMigN+N02k83WVRSWFjEtdfWrrlx7bXX8vtvf+J/OkXZ6bSTmbkLi6WM7JPrGNjvRuBMNd7wsEFk2w9QnLaJpCm3I1f7N1hUrznoTx0la9M8Qqddim+/QbVea+kFriRnC+W//kXow7fWar4mILJ8YCqjjmZhkcsY/dbTOOQybKcK0X63EAShwSDdFqdEu1wU/fkLxrQDKCOi6TvjURRq/2Zt21y3jifSn1sbwBuUOAy7uYKSrJ3E3fZgo3ee0/btombE06W3P1Tr9fYWDHXPn5aU/u8o7IZyKg7vx3QsDXNeDorAIOTBYUjKLQTF9UUWOQRjYRaiy0Vx+kZCew5HECT4RCYiOh3YjDoqSoupOLwfS+EpFIHBePdMRpPSF6/ouLM+g64kaLq6a6o5lq3AgeMoX7f1HyFgVMk90H5egqPC0uh6zRIwgiAMAH4F7gcuBt4Azrp9FwRhKCAHcls64PZgx9zjbP8ug8TXr0Xds/VFyWrisjk49u8lOCrMBD5yL5Ia9TtavC9TJSUffYc0wI/YK+6kfPuGRifRhiZZ3bYNaLesI3nyXXgH1t94sqZrpdqFVB8VRSc4vvp/+EUnIysxodUeJcC/Jzabkazs1URHjUQhV5+VgXTkSD5SaZU1Qast59JLp3P06BFSU1PdMTBpaWlMnzGNRYv+JCQkBKlUTu5JF/7+PWuJoeoYmwL9IVxOO0G9hiJX+7dpMs0t3Ubp5uVEXn0z3nE9znq9JRe4orTVVKzaTNgTdyIPD0Fmd5B23wsYvJQM/eBF7rz/JnA4QCZDtDvQ/7YC49pt+M2aTEiPsQgSSbMavDWEw2SkdO1yzLknAAF1aDzxo65qtniB2sIkKHEYZRk78YtNRX8yzX1uVD9XvU5zaWmvo4bWl8qUlJcdJ+T8i1EENVzmQO5w8P5v89zLu6NiORIV2+zxeoLGzp/OnMhFUaTyxHF0W9dhzs1Gk9KPiISx+Iy+CZnCq8rKdXgJgiAQP+4aAmL7YrcYUaj9cNptFOxfgdzLx/17CwPoBy6Xk8rSXEoqjlC0+GdEux2ffkMImnBhrRYFrbF6VH9e6qQ+mI4dbvXn5jAZ0e3YhEBV1/XOFpCN0Zzfvk9qf4r/WoRDp2/TTfO5gCCX49M7Ev2BxqVEkwLmdObRUuA9URS/EQRhB3BAEIQJoiiuq7FeEPA9cKsoig3f3ncAoktk7YeHyVhfQOK7N6EK88yX7TBaOPLSIuQB3vjdfReCvPWxEw6dnpL3v0GV2ouIUbMQJJImJ9G6r4uiSNna5RgO76P3lHvPyjSqj+oA3roTht1i5NSeZehOHCA0MJWCzF04/eLx9++JRhNBbt4moCodOi5mnFtk6MpPkJpyOcVFcOjgKcLClW7xkpycwu+//UloWDALFizg0kurspAuvfRiFi36k6JCK2qvIQweMASb3URO7kYiwgcTFJDISfU25F6+qENiyd+7vOruWxTcWTDNRXS5yMr4E+ORw8Tecl+DE2FzLiCiKFK4czGVew8T9vTdyAL9uWr9dt76/lcEIKSikmf/7w9eu+YSkMmwZJxA+91C5OGhxN/xKHJff/fF2WmzoV1fFWzakgurpSifvLlf4KwwENBjEN6BkZza9SfarL3umJ/miIaabp1qMVNRmOmunwO0WizWFZpNCZqGhOnxAwsRXS40vfs2eryHVy3BRVVKpV0i4bo61peOoLHzp7PcF9aSIoqX/opdX05k74kEjbwJyf+zd95hTpVpG/+lJ5PpvVeGgaF3lCKCgChixYK9K9Z1u9vLt93ddauru666KgoIUgSl997LMDBMY3qf9J7z/RESkpnMTGaSocl9XVxDknPec5KcnPd+n+d+7kcq89kmLn+c53t3C+Iz0lK4efIzhCvEVJfcSKVRRbPe4bOfWCwhPDGb8MRshNzZGFuqqTm3E/2ZkyASEXv9tD4Z8cGFz8tYURpUY0XtkX2e31h/N+q8GBDL5KhGFWI6eIKImyZd6tPpd0QOy0B3srrbbbqdgUUiUSzwJbBaEISfAwiCcEIkEi3BFYW57vx2CmA58GtBEHaF4Nz7DIfNyRc/OURbtYHc3z+OLLLvERJvWFv0FP1gCZHDMpDNnR+UkMpW30Tjn/5D+A0TSBo60yMo7mkS9X5dcDppXLscU3UlhTNfQKYKvBzc34RRc3ANzWf2EhmRTkryGNo1lZ7u0dFRWWRnTcfhsOJwWLHaDD5C3rr6Q2RlTOGD97bzwsvXYzabKSgYxPLlrnSRxeIgNjae5ctXc9ddt2E2mzEajXzw3oVLxU2IjIZGGlqLSBh0PeljbsFuMSCWSD2rQXcVTCBw2CyU7P8Ih9lM1lMvdxKA9malJzgc1GxZjK26nqTvPo8kPIz33/g304pKPNuYpFJ+f9fNOE1m2j/7EtPhkyTNupOIwgs6IPfNOe6GWd2Wk3Y8T82hPThtdtp2bUaw24hMLSBzwh3YLQb09WU4bTbqjqz3+U690ZFEeKd13GQmKrOQiOQ8v/2jehqvO/fmniJn/jQy1e0H0Z8pwmkyoD2yv8uUREpLE0/s2cYr9zzMDaeO8fr8R3v8PC82AonuBWuD33E7w+mTNG1YTdzUmWQkXd9l2xDv3lbjps3h+XtnMDLfu7mry0/kSEkN76zYTXlta6cxRCIR6vgMBsbfjyW/hfKTq6h46w1S736410Z84OtAHJad1+e0j9ujRsTlmzrqLaLSh9F6dMfXgsCY4wowH/iy2226JTCCILQCg/08f5/7/yLX7PsesEkQhP/16UxDBKvRzrJv7UMsEZH+i0eRKGU97xQATDWtFH1/CUk3D0eYHFwFk7WyhqY3/0vUnbNIyO7bRSg4HNSv+BRbeyuDpz+HVN47kuY9YdUf34wiKoG2yhNERmSg1VVRcW4LJlMTUZHZIHJZ92dlTvWQDK2uhsJBd/tUDQFUVjazZPFhliz5jPDwKBISXNEOp9OO02knLi6G5cu/wGgw8Pa/llJ0SkND4zFXl2pBIDKtgPr64wgOGzJFGCKRyLeqSCYPOPpi0bVyetu7qNIySZ3/qF9fnkBXek6bleovPkCw2Uj81tPIpBLOPPN9pM4LgcathXk88s1nMB09ReuHy1EOGUjOs99BovJ1Yu5Lw7jmjWvQHNqDLD6RgpsXoq8v9RAHt/FgWHw66WPn+lbvBGjlL1OGE5VZ6NPjyO3DYrcY/EZPGk/toO7Iehx2C2mjbu40vvcxehLxdtTIGJqraNq4guTb70NzcLfHpr6TzsRmZdNffw3An5b+j3Hf/1W3n6OlqYGmdStJmDUvINdYN4JNAQUS3fMXpbEb9LTv24GxqhxTWYnPa92NYSg/i621mUGzX0AV3fP7lCnDuffhJ3nghnzCwvx7J6VFy/nO/HEs2lrCtiNlXY6liIhj0MTHqNEdofrDf5E0775e60+8P6/efE/+xkm48eY+7385Iiwnn7rPP0aw2YPKAFwJkGWm0lLW2O02ofgEJgH34Uor3XH+uYcFQTgegrEDhrHNwuIXdxOfF4H6uXtD5vGiP9vAqR8uJfORydiGBVfBZD5dRvM/PyR5znwisvvWTVqw26n97H84rVYG3fA0EmnvunN7T27uSUcslTO88CHCw5Opqz/kaZhoteqpqt6BRlPh6R7tjroUFX9G4aC7O1UNLV36MStXVfKH379FQoJLd+TWxkgkMhrqLfzmN3/jq3VvExtb4CnFBpCpIhl0ywvo6s52WR4dCHT1pZzd/j9iJ00nZuLULglnICs9h9FA1bL/IImLJv55l0HhrH3HkHiRl6cXPsTagbm0vfMJ1tLK86XR/j18eiPmtOu0NK5bibGilNi8sWSMuw2ZKpzwBJe+w2bW47BbSBkxi9jckWjOFQH4pISyp9zfpe+P97Xg7nEEkD/zKb9pJZ/PXxD5/O2OpPTmu7MaNZRsfY+kufOxtTT62NT7TISCwLH/+57n92iUyTEouq+8alq30kNU0x98OqDzgf5LAXkTI+/35n7eabXScj4Fos4f3CMBiBw5HktTA4bSMwy55RXkYYGlznNSY3nghnzuvn0uKpWSZSvXeBYfAE1NTdw17xZMJjOfrVhNVWO730iMN9IiRhI9I44zq/5N6j2PXPTS6MtJQBwMOr4PiVKFNCEOa1UdityMS316/QpJuBqxQobDaO1ym6AJjCAIOwjQ0be/oK03sui5nQy8MRXuuz1kHi+aY+c4/YuV5L0yC1PWdUGNZTpeTMu/F5N658Oo8/pmUOe02ahd/D4iiZhBk55ALOn91+e9UlZEJyESSxiQNZvYGFflkpuQqMMSKKtwuaxGR+f5lE8XFX/mkzryRkryaOrq4de/+or0tGMMGpxKZJQKrcZE8alaqmvqqK45S3bWdJISh3NOHk5D8wnEcgU5Ux70kJe+VBkJgkBV025atn1Fyp0Poh7QdcM/6HmlZ2tv5dynb6MaVkD0/FuQWa3YpVLWjh/O5p37mVx0lqF//Qmtx0/T9pM/oR4/gpynv41Yruj1ufu8D6eT9gO7adnyJVGjJjD89u8ikXUes6VkP3VH1pM+di6ac0U+otyOugZ/8L4WOhrTdZdWAkgsPB89FAmYNA0e8W9fvjc3HDYLp7e9S/TY64koHO5xe/VXerzyr7/yuenc9MoPehw/YdY8n7+Bor8qWDoSI/d7c6dcYm+YRdwNsxBwlWH3NBFLlCqM5WfJHncnraWHAv4+nr79OsLC5KhUSk4XF3PXvFtY9cVakpNTqKuv4655t3C6uJiBBQWoVCqevv06Xv/nFz2Oq47PIHfSAsqXf0zOC99FrAjud9ERl3vzxlCQKH/vQ56Ziq2q9qonMADKtBhsbYYuX78kMSiRSPQuMBdoFAShe4VeD2gu0/LJwl2MW5CHafYtoTlBoHXPWc6+8SWxTz2IKWtAUGMZDxyj9aMVpN/3JKqM7D6NYdO0UfX+W8gTkhg44ZE+GZR5r9ij0gdTvOZvCE4HTS1FWO0GT4WRG+lpEz3GdYBHZNsxdeQNt5eL1WZgz77l7NmHT+WSm/zk5cymRjhLY1sxish4TK01NJzc4n+173X+XYlBnQ47pSeWY6oqJ/OJl7qtWgkE5voaqj99h4jZU4mefj2HX/4ZaouVkpREfnr/XB7/xpM4NDpa/7MEW10j6fc83ufv1ve4tTSsWoxILGHQrIWoYrr2F/IX9XB/Nm4i4q4ichsZevv/xOWPw2G3YDPpaS077InWgG/URDWsM7mTKcORyORUH1iNsbna8735E4gHAsHp4My+D1EkpRA7ZQbQdbQqu6GOgS3Nnsffn3sP7eE9a8AUCUm9iry40V8l0F0Ro96kGb0nSWP5WQCMLbXUHXVFbnqKfCXHRXg0L8tWrvGQlTtuu5WPFy1iwQMPeMjLksWLiY+JIjFRQVJsBA2tuh7fY1RaAar0LDSH9xIzMTiX8o643Js3hoJE+S2vTk7A1tgS/AleAVAkRtLdVXapkmjvAX/DVbXUZ9SeaGPJy7uZ/o2htIyfEZITA2jaVETFvzYT9+ITQbNc/a6DaJauJeOBZ1GmpPW8gx84bVbO/ffv2Ntbic8Y0Wd3VfeKPW30HMp3fEL8wAmYqypoay+lrb3UU2HkhrexXGXVdp8u0f4M5+CCh4vDYaWichPgW7nU2nqa6Khc6g1nEBkhoWAC9cc2efov+Vvte5+/Px2H1aDhzM73kEZGkb7gKXRFR4Na9RjOnqZ2xYfEPngHo5Li+OqZ1z2pisE19RgVcgx7DtP26WrCJ48jfY6vIV1f4LS50gWaQ/uInzGH9DiXB0d36Jia8f6/d0sI1bAknA4LAHaL3sdLRyJVeMS/xuZqHxID3ZNGf1Ga7rQ2NrOexlM7QBCRWDjJq9eWwNnjyxDsdpJvu7fbCKrEbmftP3/veWyQyVg+tveNGi+HFENXxKg3hMl7kjSUn8WuaQOR4NFD9YQhORcIckJCAqu+WMsdt93qctAeccFBe/nK1URGRiIIru9raG5yQAQGICl1LLWnt4WcwPRX88Zgrw3v4gAIjkT5ex8qIRZtW1Gfx7ySEDd5IM2bun6vl4TACIKwTSQSZQczRsXeJj7/7j4yX72VlvGBdekMBPWrj1D98S7iXn0mKHddwOW6umojGQ8t7JMYzW7Qozm4B0PZaa8Jsu/Zurj8cQgI6BoqEBwOBkRcx0mRq85eqYwjPm6QJ8rS0co/Pm4Qbe3lni7RHX1g3HALfTPSJxMdnUdEeIonUpOcNIpWoR5tbQnJeVNJHjYdu9WIVB7mmSD9rfa9z9/7L4C27iylOz4iZsJkYifPoG3X5qBWPU0VO2lf+RXxLzzMH3Yd4uG3PvK8JgCD/u9bVC1Zg72plYz7nkaZFnwY11h+lvpVi1EmpzH0tm8iC+u+WSHQqZVCRx+Xjp+VWOIK35s1TTQVu6q/kofd6IrC2KzoG8v9ppx6Ev92jNJEZRaiqy/1RH684SbQbrhF2dU1OzDXVZP52EK/Dq/emHb6pI/b7rjvdS/c7QqXQ4ohFPBeoTtMZpfQfPDkgKNfUeG+BQDJySl8vGiRh7wAfLxoESkpqRgNrgiuSNR5v47wvj6VkfHYNO29e2OXCHaDnvrPF/kV9QdKbPrz2rIb9BgrzuIwBUYer3S4pBufd/n6FSljPr2plrU/P0zO63cRNSJ0hlU1S/ZRv/Iwcd9ciCwxLqixdBt3ov1yG5kPLexzOkNzaA/Nm9agSEpl8PTnaCk92OOqyt/E5l06K5HKMTZXYTdpqW84TEH+bZSUriU/bw7NLcWUln153k1X7iEnVpuBktK1ri7R0TmowxI8RAXcuhcXmXGTFYfDSnt7KXGx+chlaiwWLSdrVmPRt1Iw+xnC4tKBrn1punpP7glTEATO1WyhdddWUu5agDrPpXfpa+hYcDqpP7Aa44HjJH33OT5atJIbT5zxvF6SFM/1826i9bdvET5lPOlzH+tzDyX3jTB88HBad27CUFJM9rg7ic4MPJvqTSwcdgt1R9ajqTmNrs5VrdKxEiixcBISmZzI1AKaz+5HLJVTuvVDolIHEZc3itjckVTvX9WJePSmDQBAa+kRV1VUXEanVhXulBWCCESCq02AtgxrSxOZj7+IuAcRbpjZzEtfLOWh1Ax+2lTPPd/6KVazqU+r5cshxRAKeK/QVZnZmM6V9Sp1p9GbfB7X19ex4IEODtoPPMDyVS5LBAkgkso77dcR3tenOiETicqX8FwOETB/0B7Zh6HklF/RdKDEpD+vLe2RfWgP70MSHxPysa9EXLYERiQSPQM8AxCZcuHiP77qHJv+fIIBv7if8IHBRUjcEASBqv/tpGVLMXHfWoj0fLPBvkK7bju6jbvIevhFZDE9m8v5PSeHA1NlOfKEZAqmPY0sLDIgXYj3jQNcZmQOmxVEAjajjraKY4wc8ijtmnIPQXFb+MtkYTgcVtraytBoK3A4rORmz/Ckfry7RHv/ra7ZQ0XlJs/2bg2MRCInOWkUpfaj1BxZQ0LBRHJvfKST+Nhf1Yy/18E1MdstJs4e+gS7TkvW068ii77wY+5L6NhptVL91Uc4NTqSXl+IJCKcwzkZHgLzrxvG8w29EdvqTSGJurhvhC3bNhAxZCRDb/tWr0vhvSMdraVHAAiLSyUqrcCHbDjtNnT1pbRVHkdTVUT1obUoI+PRVJ/Com3C1FKDw2YBQcBm0hIWl+FTrt6V10tXaaYLPbfKz7s+X9hOpgwnbdTNnn301kaMVRVkPfky0h40LGKHg72/eZ0/Ax8ZDayfcQsxChXaA/49RoJtjNmf6K/JOyx3IA2rFqNvqiQ8IbC2KSfL6z3/d1cbnS4+76B9XgNTVFTEvFvn+FQnnSir72pIwJf4nivfSFiOb5T8co2Adac/CpSY9Oe1FTlyPNbWFkztNf0y/pWGy5bACILwNvA2QMqQGAHgwCdl7H73DPm/eYiwzOAiJF7HofLfW2k/WE7sawuRRAVuCOcP2q+2od+yh6yHXvCZWHt1Tk4n9Ss+AQSGzvlGt9VGHSd3fytm9wodICZnJFGR6URFpvuM404JAWi0FT6veZMVd7rIWx/jcFh9/rpfj48bxLHyxTjsVnKnPYyxuQqHzYxY0llL0V3VjPd7MjRXc3bHB6jzB5NyzyNBdZIGsGs1VC37D9LkBN7MSiHj/WU8/+IjvHn7TKadOMMPRg1h/cadhE0c1an5Yl/gMBkx1VYjVqrIuW4+Mdkjet7JD7w1Lu7oiptYCE6H67MsPYim+hSq6GTEMgU2k5bcnJlkZ07zSQHKpGGctRyg5tBaBKed6gPrPMfxvra6Sid5P584eLJH1NtdBVSjtcQluH50oed34vY98Vd1c+SX30EGPA44gXdGTwS6nlQu1wkS+u/cxFIpCbNup2zLJxTOfgmpIqzHfepbdBwpqSEtWu4hLwWDBrF81RekJKewfNUXzLt1jqc6adnKNdS0W3vUv7gjq/XHNqEpPUD2wm/5vN7xe7tcIjL9pasJFaTqcMILhmA59vUQ8faEy5bAdMSu/5zmyLJK8n/3MMqU6JCMKTgFyv+5Ed2pWmJeWYgkvOcffHfQfrkV/da9ZD74ArKo6D79KAVBoHHtcmztbQy64ekuyYt71duxV40/YafNrEdXV4rNqKMweY7f8dwpoeys6WRnuX6k6WmuSaKrLtFuSCQuLxqttpqyio2kJo+h3HyYpuJdpIyYSWzOKCp2fupTYdRxNe92A+3KRyRp6DSqGnfRsuUrEm+5m8ihI7v7GAOCqeYcNUv/S/iNE9ly8AQjK2sQgPu27GHRhFFMTUvCvG0fqXc96rd/Um+hLzlFw6olhBcMYcQ9P/JbGh0ovEmd+zu36NuoObiW5rP7kCkjkKoiSEkYQ1rqOBoajxGblUZC/BCPzsk79ZclKaRRtROZKrKTANRbrOtP39LxXLr7LgFq9cdo/GoFGQ8/hzz+Qo8y7ZF9Ht8TiZf1+wdv/xn5+e4k8cCmhd/usX/UpU4Rdffb78++SZHDRmGuPUfxlrcpmPpkQA7d76zYzXfmj8NkMlMwaBDLVq4hJjYes9VGTGy8pzrJZHI5aL+zYn9A59JwcjsNJ7cSXjjcp42G+715f2+XM+G83OAwGhCHq3ve8GuAS1VGvQiYBsSLRKJq4CeCIPynq+11jSaOr65iwO8fQR4XXITEDcEpUPbmVxgrm4l56bmgmjLC+ciLF3mBvv0oW7auw1RVweAZz3drUtfRCdUf3CQhImUA5vZ6xo98AYXc/00xJXm0J4KSlDic5pZioGuxrjfS0ybSrqmkvb0UjbaCqrrdRKYOpPD2byGSSKjY/gma6lNEpQ/2TGodz787szO7xcjZw0uwtbWQ+eTLQZdIAzRX76Xtk9Vk3XsrRR8sQ2m3A65W62Hnaqn/ciuKQXnkPv2tHrUZnvPsYvJxmM00fbUCY3kJudfdT2Rq8KJz789L31hBw4mtaOvPEpc7mlGFj9HSesblmgzoDfW0t5eSnTXdo3Nyw/v/Fm0TuoYyBky/YMfvrU/qWNnkfS4ddUze36U3WW1ylNOwZhnpDz2DIsm38WjkyPE4rVYELkzuUXot42svNLZfMnwMlYn+G5Z641Kvlrv77fd336SEWfNo2fwlJ9f8mdzr7iMytXvfqfLaVhZtLeGzFasJCwvzMbEDV3XSspVrMBqNLNpa0qOJHbiuyaby/YQNGEzSrff0+N5CSTi7+h1eLlGeYGGiOWiZw9WCS1WF9EDPW12ARW+n8B9PI4sOLkLiOb7DSemfv8Jc00bUwucQq4IzWNJt3Ilu026yHr5AXqD3P8r2A7vQHj3gCv/2pInwckLtSpvgDu2HxaaRMHgySmW0/7FwRVkkEjmlZV/S0Hgck6nJ85p3+TSAwdjkEf6qwxKQy9SEKWNoB8QSGdmT7yMmaxgA9cc3e8iLj76lg5NrV9A3VlC68yPUAwtJufuhoFNGgsNB3d6VmA6f5O47ZrL43cUXXgMeHDOUTw+fdLklDx7Wq7H93aCNFWep//wTwnLzGTr3m0hkgZGhHt+HIKCtKabu2EasBg1JQ6YyLP0OnILd46bsndprby8FfNOBNpvRp7KsvGor0em+nUO8iWbi4MmAf0Fvd9VK7te01noMpadJf+hpv5YCUnU48R2s33f/4aee/9tFIn5014MBf0aXEu4+PE6rFbtBH/CE6c+RN9AJ13v7+OlzUGVkU7Z6Mcq0TLIKZnfbVmDbkTKqGtt5+vbrSPCzPqhpt/LOiv09khebSUdl6Xp0RcdImnuPz2+ou/thR1IXDNnoiihdLVEeW10TyiF9M0O90iBsW9Xt61dECkmRER9S8nL2jbVYmnRELnwWsaJ3Vvwdod+6F+1X212alyhfzUugq0C7QU/TulXoz56i8OaX/IZ9O5IUbyfU+mObaTi5BZtJj0wV7tkmKrMQTXUx+pZqRsiHdVki7YZ3qwBvwa77NTfcFUlHjU3ExRagk2jRN58hMm0wOZPv9ZQBexvneft+AD66DX8QnE4qz22ibd92km67l4hBFyp0+npzs+t1VK/+AJFEzNTH72Xx797yvGYVi4jKSgOzhZynv4U0oudS5o7wvkE7bTaaN61Fd+IQ2RPmE53hm3bpqUNzV7CZ9C7zuJZqEARyUqaSWDAUschVflxZtc9DOHOzXd5IVpvB0wpCLlN7UkcOh5XW1tM0RKTRrqnEaTNh1jVTf3yzpyTbaT+vaxJE3UbJuqtWissfh9Zai/7sKTIefhZlSnqnbfzhpQ1f+JgGjPzBbwPa73KAVB2ORC6naf3qPndC7u2E23F7df5gcl74Lm17t1G87h8oUzNITh9PVPpgxFJZp2uwvLaV1//5BXFqMdlqM+n5w9BbnJwoq6ehVdflNSsIAsaWampr96I7eYTI4WPIeeE7nZqn9tXfprefXSAGgf2BQO5LoYgCWStriJwzLYgzvXJgKO3/XkhXDASHk5Lfr8HWqify2aeDJi+GXYfQrNpA5kMv9LnaCKBl63q0R/e7oiSR8f636bDC9XZCjTifkjC21aA7eaGMVnOuCF39WdQJWTQ2n+wUSekId6uAjimjjtvn583hqLEJs7mVmtrdKCLjcdptRKbk+ZAXd+oofexcAB8DNe/JsOON0aJv4+y+j0EkIuuZ13yiWtC3m5upqoKa5e+jvm40UXfMoszhoD46guR2HVtTk5iu0xM5bgSJg27sc6dx9w3aXF9L3bKPkMclMGTuN/1W7HgLq7tKt3QkNtq6s5RvX4TN0E5S4kgKB92NSCT2SfO5U4HuruFymbqThslb75SXe7MnQiMLi0YkFvv0QEoZMYuUkTNBoFNVkTe6IzeNljMYykrIeOQ5lMkBmjkKAqntbZxKSKagqZ5HHnkWe5DRt4uNvkyY3td2b/f3t71YLiduyk3ETJyK7sQRao/uoHzXp4TlDEBqEGivOongdJIy4oIR6Mk9G/nqwGrSx871+Y26f88CAnG5YzA0VdJiuNAINXLEWHJe+G6fyH8g7yVQhMIgsC8I5L4UbBTIrtfh0OiQpfW9yeWVBEuDptvXr6w7QhAQHE7O/mENtjYDEc8ET16MB47TtnRNUD4vALb2NnQnDxObN5bUkTO7nMC8V7gdBbzuUlqnw0J4YraP6LL26AYyY8cSF+fySXFHUrrStvQk2DWb2ynXH8DqMKJOyCI8MZv4ggkeAzU33F2S3boXfykGz2Rus3qszx1ZMTSuXU7MdTcQO8lFJjquWrybMLbu3NTtakYQBJrObEWzeiOT50zjne37mX37TJwyGfO+9QyW5V9RVFVHxgPPoEwNrjxacDpp27ud1u0bSJh5G2kxYzu5yro/h5QRs/x2j/ZXUm5sraP6wGos2iZyUqZiseoQiUTY7CbkMrWPJ09WxhRPKrCjs7IbHavKDMYmzlVvJ2/6oygiYpFIFX7ddSUyuV93XW/Bbken3armvbRs+ZKMR55Hkdi97YH397zvr78h1mzkg9HX8cr9j3MuBLqni43eRGDd1VfqvALU+YNRDxzS5f5dreK7O55YJidq1HiiRrlSU4azxRjOFiNpjaDm6Fc0Vu5HFh2LNCIKAQFFZDxWk5baoxuwhNsxlJdgrq5ArFRSe2IT9UVbXBomiZSk2+4lLGdAyHrQdfdeLmcdSyCkK9gokKH0NMqC3D4vsq4kCIKAuaat222+FgTGnTaythqIePqpoMmL6cRpWj9cTsaCZ/vc7t1u0NO2eyvth/cSM24SOTmzAFeUwp+WwL3C9V4JwQWRJSKBhhNbSR8710N82s+dxGkzY7ZoulyFt7WXUzjobs9zXaWY9Pp6Stt303buBGGxqQy+9SWfPj3eok6TpgFNzWmSht5A8jDXTchm1hGRku9TweKZzEfOJHXkbNoM57Bt2UfKPQ9hqavGYTIiVYd3WrW4b27upnfu5zvCYTJRs34R9pY2luZkcOdiVwO68mde598TR7Kwuh5ZWjLZT3wTiTI4bYpdp6Xu80U4LWYKb3kFsUxBw4ktXRJRd4rG+3Nwv+6OfjQW7cBm0tF+7gQpI24iT/4AYrHU09bBTVD8efN4/+2IjtdCqWY38QMnerpce7vreqcBe9K+AJ6okkQmxxovpXX3VjIeeyEgku/+nhdu/pLY86Lqe44d4Fe33dPjvpcCoZpMvauvLLVVPh24/R0j2FW8VB1O1IixRI0YC4DTbsfW2oytvRW7Tovu1DEs2mZ0+hpUMdmIxFLC8wcji4ohYthoVGmZSNThHtdrdc4A1Lmhc0PvDpezjiUQwhpsFEhTeQzVyM4u11cjHC1tSFTy/u1GfblDcAqc/dOXLs1LCNJGlrOVtLzzKWn3PhFwLt8fNIf30rrD1e1Zqb/wNbit3R12i0/I3jv14C+ykTRkGlHpg30IQnzeOGoOfEFqythOx/fWu7j9XzqmmJxOO80tp6hs3Y9Z20TioEkkD7mB2iNfufxFYpL9Royq961CV1eCWCJFpgyn/vhmGk5sdb3vc0UesuOeEBURsVQeXEl4wRBS71xA+/4dPjepvuS0TdWV1Hz+P8KGDqTqdBlxlReMnxqVCp49UULUnbNIyJ0c9MpRf6aI+pWfEj16Itk5MxGJJT0SUffruvpSnw7QMmU4WZPupXLXEhpP7SRuwFjGDnuGpqYi7MkW5GJpjwQFXMLd6po9nRp0dkRrWyma6mKG3Pltv697d7z2Z2bXUfvisFsQBDAojOj3HSPz8ReQRQeWXo0cOZ4pxSd5sarc89wP586HEK7sQ4lQTaY+1VdDRxGWnee5pv0dI9RaDrFUiiIx2RMhCx80NCAth9NqJfaGWQGfRygI36Uuj7+UcJiMmE+dJe6xuy/1qVwUWCtqUA9Iwtqi73Kbq5rAuEulLXXtRD4fvGDXWl1P098/IPX2BYRl5gQ1ltNsRhIRRULOOOLzL/wYvbUtEqnCM/n5Sz14TyBuYhMWn45EqnC9HhaBIjIBs7kdhbyzMDgyIo3IiDSfipTIiEzOlKzCHA7t506gjE4iseA6orOGIZZIsZn1iKUyH6fWjhO1e0L2npjdbsDeq3ixRIZe1Eb9wR0kz7sP9YCe2wF05yUBrjROw8kN6NZt5/qbp7FtyRd4T3/fGJjDX1s1ZNz1GMrUvhNQcK1cm9evQld8ggFTHiEi+YJXTE8W/N6RlojkPM9np6svpXL3MuRhkYwd8QzqsASfRppuAW583CBPxKxjCqmu/lCnRpr+YLMZKSpdRvake7useuv4PvxpsbwJWurIWZQVr8ZQcobMx1/slR5CplTxmRd5OROfxJqRncl3fyPQiTZUk2nH6ivvqK7fbsT9rOUIZHx31Chh5tyAyUgoCJ87hXy5ppH6E82Ve1ENK0CsDk1By+UOWWMxYYNTadtb2uU2Vy2BEQSB8n9swFjZQlQIqo3szW00/fldYu6bizptcM87dAPD2dNojuxnyK2vIg+L6vS6v8mvo1kYdNYfSKQKHDarTzpCFZPMiZKlJMUMJjNjimc17rb/z86ajt1mpujUYnT6WtraSxGcdiJS8xl060udRMUdJyx/5maqqCTyZz6FzezqfKxOysbYUkX6+Ns8566rL6NszyeoMrLJfv5bSFQXfpTdmVwBXd4EbZp2atZ+BA4nyT96iW3f+Y2HvDhEIiakJ3NSoSDniW90qpDoLawtTdQu/R+yqBiG3vpaJ9dT75Sft3jZ+3VvwzebWU/1/tVoa89QkH0LCfFDPJEhd6QlPm4QRcWf0dp62hM96/h6ZdV2oiKziInOI9yrkWZHWKw6Dha9S1R6IVHpg7p8nx2/7+6ImeB0UHJkyfneRi8gUYX1atV97BcXokACMO/F73a7fX8h0In2YnjN9PYYF0sj0hfyFirC199ppMtRZyM4HOg37iTuqfsu9alcNGiPVpGzcEa321yVBEYQBCrf2YKuuM5lUhekz4tDb6Dxz/8hYvYU4tOC+/HZNG3ULf+YAVMf7kRe/DUtdMNflUfH1bB7wnSXJ7eU7Ke98jiKyHjOVW2nrvU40RmFiKVydPqzAFTW7qLi3GYQBBSRCaSPm4tZ00h8/viAynu7a97nPj9lVCJmjascLnfaw1SUrEV78qjLJ8KrPLor+LvxdbKOP3GEhnXLiJh+PQOuG0VTXAxPLXyYGceLGXOyhCEIqEcWkjlqTtACOO3xwzSuXUbctNlkJF7fbQqqp27OSUOn0Vp2iHP7VqCMTGTs0KdRqS6U43uLrb17UuXnzaE5OsejWcrKmOKJ1KhUCZhMTcSeb6TpD8cqP8OsaSRuQGARju6uTXD1XDq993/gdJB6z0NoDu3xrJQDmWy+s/ZzvJs0zHjpewGdV7DwN1ldqjRFKCbO3k7ufT2mm1jZDfouhfQdxw4V4evv7+dy1NloTxxGEh2JYkD2pT6ViwKHVo+5rp3wQd2bVl6VBKbqfztpP1RBzCsLg3bYdVptNP31fVQjCkkaFNxKSHA4qFv6ITETpxCRnNdpn+4mO39aE3+rYW+i41rZ62grPw6AVBGGPCwah8OGVBlOdPYIZMowmop3e4zmACyaJgLG+eZ9nr9ecJ+XOimb+qMbickewYkv3kCZnkXOwm8HHAXpeOPz/r/DZKJ261Ks5VWMeXAeu/61CMnn6xj65x+zYcxQVlistB0uIvnWe3ttTNcRTpuNxi8/x1heQsFNFzpqd4R3lZjDZiVl5Ey/EQuroZ3KXUuxGtpJiR1Gde0eGsNP+BVbQ+fqIXWYrzC2Ox8fzzFtBk7Wr8XUVk/KiJnED5zg99y7MkWEzq0gRCIxp7e/izQ6hpQ7HqBtz9YuS4H9TpiCgM5m5f/EYp51Ovlo6kxq4xK5GPA3WV0qF99QTJy9ndyDPWZ3+/cXEejv7ycYgtQf0RvBbqd5x5fEPnZ5itn7A6Zjp4galYVYKul2u6uOwNQs3UfzllPEvfZC0L2NBKeTln9/gjQuhpTzeo6e4L6AnVarp7LA/WNr2bYekUxGVkbvzcD8kRt/Fu7ekCnDMbc3YjW0IlWqMbXWIsodjVSsQFtT7NHSKMLjPPvXHPqKuqPrcNisnSIq/pA4eLJHc9MRbjJlt5ggMYrqY1+SdOvdhBcM6XHcnmA36Gne+AW6siLCRg3lmTk38Pd/fux5/fNf/4Mxo4ZgOnSCzEde6LGEt6djte7ajKHkFIqEZIbO+QYSeddVS96l0G4vFe/vSBAEGk/toPrAF6jjMxlV8DBisRSFMroT6ehIWrzJTcdSeLlMTXbmNEymVrIzp3WKvlhtBo4d/x9aXRXxBRP99mJyn7vDZvVpENmVFsZuNdFadwJVVh6y6BgcZlOnjr49uaFu+NMvWKRt54fA6hHjaJvuv19XoOjNJHKxoi09nZPdoMdhtRLXC1Gsv3F7O7kH+/6727+nsS9mqqY3xwqGIPUHaWs8vQVpSiLKQZ0XvVcrnCcPkTC952qrq4rANKw5Sv2Kw8R9K/iu0gDtS9bg1BnIvPf5gNMO7gs49oZZJMyc6/nxms6V035gN0PmvoZI5H+s7nQTXZEb90TSXLKPvBmPoYryLet2C2mTR8zA0FBBVGYhzWf2ekqaO6Wmuomo9PacBUGgvfI4lQc+Rz2wkOyF30aiDC4iBuC0WKj67N9Yy86hnjKOU0eLSN+82/O6RqFgTEIs1vIqsh97NWi9S9O6lWiPHkBdMISB4x7CbjHQ5EfX4oZ3qXREch42s466o+uwmXWIJXL0TZWY2uoRHDb0DaU0qI+RlTHFQ046EpOOz8fHDaK5pRiHw0pF5SYcDisSiZyU5NFUnNuCydRExbktjBz2iM95VVRuRqurIiw+A4lU6SEq3kTVWxTenVg3Ln8cVqOWprL9xF4/DQQnTetXIxKJiJ00vcubd8dJbcMbPyFdp+NxoEUVxtJZtwV9U+puEumvtEaw51T/+SIMJad6JYrtadxAEOz797e/92fc3dgXM1UTtIHcRRZ2u2Frb0W7dgtJr78QkvGuBDh0BnQnayh4veegwVVDYJq3FlP1v53EffP5kDS60m3Zg+lYMdmPvNxj/x3vi7vj6hPAabVS9/kissffhTys56qMrqIt/rQHcfnjaC7Zh1nTSPW+VeTPfMrndbegFiAiMadTSbM0X+3boqCbiEpvztmqb6Ps2OdYWxpJuefhkHRzBjCWl1D7xacocjOIH5DFgQ07SHFeIFub87OZbbIgj40m64b5iCTdhyC7g+Bw0PDl5+iKTxCXP4H00bcgEom6NeXr2MxQNSyJmkNfAaCtOYOprQ5FRByjCh+hqdnlA9Mx6uIWWDscVk87APD17mltPU10dJ6nc3hp2ZfU1h0kP88VvXD/dcNgbKKu+Riq2DRypj5Aa9lh1wsdiKo3Ie3uOjC11tFScYjEOXcQOWw0doOr1LGnG7f3hDfl5FHSdTrA1WW6av4jIVmJdzeJXCp9Q0/nZCg5hTp/cK8nvkuh1+lpMu/4GXfc3v1YPXDIRTv3YD+nSyHsFpxOatd9QsSsqciS/Du0X42QFe8gdmIekrCetatXBYFpO1BO+d83EPfqMyH5ok0nz6BZsZ6sR18KaPXe8eLueAE3b1qLPCkVi66lWzt2N3oqwe04WebNeIzqfas80ZaO2wCe/8flj8Nht4Ag8uuQ250lfEDnnDeG8vJ1tO7YRPT4yaTMfyToBowATouZut0rMR0tIvbhu1CNGMzbf32fRMFVsSICpj91H9uWriVi1hQSB08Pyt/FrtdRu/QD7FotgsWMKiqh22hYd/ql6KyhNJ/dh9WsIzIyA622ivqGIxiMTeTnzfFJ9VhtBto1lX7PybvaqARobT1NXGw+KcmjPQ04S0rXMmbU0z5jajRVHD75HhHJeWiqTnquFX8EpSexLkB1+0Gadqwkdf4jhOUMAPpw4xYE3l7yvuehXibnYG5oGtR1dy6XSqAb6Dn1lsB5j3uxUjLu+52xopTkOx7odKyOn3HH++OlIJHBEotLcd00Fm/GabYSefPUi3bMSw1BEGj44gi5r/QsX4CrgMDoTtVS8tvVxD3/GPKM7hXLgcBW30TLO5+QdvejAbcIUA8cgrGi1LOi8Ia5pgrt8UMk5k/scoLriJ5IRMfJ0jvK4m8bwJUusFuQSBXE5o6itewwjUU7ic0bCXRNlnqC94QXnphN8Za3cVptCHYbUrU6JOTFcPY0dWsXoxyUR8rPX+M3i9fwqTqMZ156FLXJzG/e+4wXRw+h5uOVIRHrmqorqV38PpEjxpKROpmW0gNdCqXd6Ip0mtrqKVn3DnazjsyMqYjFUmJj8mnXVNLeXoopPZU5c14kMkqFVmNi46YVtLeXEhtbQHraRJ+xvNNJHXtWDS64i2MnPsRkaqKu/pBnO6OxmcMn38NpMxMWmwaC0+M9408/1R0REwSBysqNtB/aQ8ajC4PSFe371fc9Je4CMPYHv+nzWL3B5WhRH6pV+8UiBpEjx2OscPVA0h7Z1+lYHd+P9/2xr1qfS4lLcW2YqirQrt1C8g9eDCqKfKXBfLIEkVRC5LDAPLquaAJjPNdC8U+XE/PofSjys4Mez2k00fTX94m+62bCsgcEvJ/hzEkf+283BKeT+tVLSJg5l0TVIE+PGX++IP4QSF+kjtu6Lerdvize27g9YtziUsBvf5vujt0R7gmvqfYoDp2WhFm3EZabj/bI/qBvUA6jgbqdKzAXlxL7yJ2EFeZz+vkforA7mH34JJN/8x0MKiWPDcxB++lq0h94GlVaZlDH1BzaS9OGL8ieeA8xWS4iFEhEyh+paT6zl6r9qwlPyiFalIhIJKKichN5uTcze9ZT3P/ACCZNut5HE/XCSzexb++TLPr4ELU1xi6P11HQq9FWYrcbfKqP9IYGDhe9R9qo2QhOR6donL++S105QTsdds4eW4qloY6sp14JqmHfwk1fEmm7YA/+0MPP9XmsUOFyLJ3tLXobJQimhDr5jgc8+/YE9/1RkZrhaZXQW63PpcTFvjZsmnZqlr1H3OPzkSb0vUlwhNHEsl/9g7teX4guyGrciwXrlg2k3t25h1xXuGIJjKVJR9HrS8h66gasg4IzlgMX2Wh++xOUhfkk5Ezq1b5d3Tg0R/YhkkpJix6DSCTysZCHnifGrlbD3XnCeJMT7228PWKiMgsJi0/3pJF6c2xvOJ0OzJEORDIZytQMEm6a6+kpFMwPXRAE9EVHaVi3HNWYYaT87BtMP1PGe09fWLXH6w3YJGLaFn+B6egpMh97GXlMXJdj9nSzFhwOV4l0WQmDZi9EFd33bq8Ou5Vzu5dhaD5HauJoqqp2EJ+bQUryaCQSOXfecTf33j8atToSp9OORCIDzzsTkZObzquvxbL8s1Ps3lXi9xgGoytdlJ83B3VYgqcLtRtabTVHij8kY9w84vJ8NTbeZfbu66WlZH+nLuduJ2i7xciZXe8jkkhc0a0gfXQKGi60dTiQnsXBvAupI8Fux2E0IDgdiBVKxEpVSJsEdoUr1aK+J2fq7hDMxByID4wb7s/UabX2WetzKXExrw2H2UzV0neImD4J1Yi+zWsOnQHDzgPMUioYWNfIjcdPs3LCyNCeaD/AUlqJqaaN+BsD7/V0RRIYu97MqR8sIfm2UVgH3RCSMTUr1iNYraROurPX+/q7cTitFpo3fcnAaY/73IB70rd4oy/bencR7ghv4pM26uZOr/fm2NraM1QcWoE0PIKsp78RVDrBGzZNO3Wbl2JraCb++YdQ5Gfzp7cXcdfeIxe2EYsZ8bvvU//fpThaNWQ/8nKPWqWeqkBqF7+PWK6g8OaXu7TVDwQWXQtnN72HKjqJCUOfw+G0IZeHe1I9Uyffyb33j+aee+5EqVSxZMlikpLSkEhcTtFNTU3ceeetmM1mPvtsFbU1bZScrfRJF1ltBo6d+MileQFGDnsEuUzt6UJttWhpbC8me9J8ojO7Ngrs6Abshvd3b9Y2c2bLf1DnD0YSHk7zhi8QSSR9Jqh//+gdxpWfZXt2PhsLhvDRiDHoj+xHW1+Mtewc9tZ2xOowRBIxTqMZkUSCPC+TqKxhRAwZFXTTza5wKbxfLqZxXX8Z9gVyfPdna2lqwFxbRcKseZdt9MXf53Sxrg2nzUbV5/9BkZdFxJy+z2sz3niHD6rqSAZ+D7z+zif89r2lrBtZyCvPLgjZ+YYa5rVfkP7ARMSywFNmVxyBcVrtFP9sOZEjMhGum0Mo1mbGI0UYdh0k+4nXQpZvbNu7nbCsXNQJF1Ia3aVlOqaAOlaz9ISOlS/Boqtj6xsrKdv3KU6rlcSbbyd80LCQrJAFp5Om0u1oVmwgfPp1xD/3ICKZlBW/+CsjK6o92x3PSOGW7zxL09//hzhMReZ9zyGW9dwmoqubtaWhlppF7xIxdCQ5ecG59LaWH6F8+yeEJ+UyOOlmJBK5pxeR1WagrGIjr33rR6jVkSiVKs6cOc38+feyevVakpISaGhwkZfTp4spKBhEWFgYjzw2haeeWu5jZldU/BkmUxMqVYJPtVFK8mhahQbqa4qIyxmBOjG7x3P29z27n9PWnaV0+4fE3zib6LHXYzfoEYlEfZ7wVv7l1wxsdZkkGs0mfld/GvO2tSgHD0A1tIDIW6YhS0pA5GVe5dDoMJ8uQ7v/GE0bVxN+wwQSh9/k03riSsXFNK7rD8O+3jZ07CrVHuixLqZAGS5uKtFpt1O18r9IItTEPHh7UPfUM4/cxXf+8h4OvZHvCAJWkYj5cTG8cWdgwthLAdOJM1gatSTO7p1+8YoiMIJT4Owba5FGqJDNnR+SidPW2ELre0tJv/dJpOHBe8eAy6ekbfc2Bs1e6PN8d2mZnlJAXZ5/gFqVYGE3G6gsW0/7wT0IdhvxM24hYvDwkIxtrq+lbt2niCQSkr77LLLUCze3Hz0wj1W//gcArz12F4uHDabxd/9CMSCb1Cl3B0w4/N2s9cUnqF/5KYk330FaVNednXuCIAg0nNhC7ZH1CA4butrT1CsP+2hUqmv24BTOMmr0QCQSBZ9/vsZDVu64Yy4ff/wxCxYs8JCX5cu/ICEhnthYKzGxcmJa84iKzPL0QoqNLaBw0N2eaiNBECi3HMHQWE5C/lgaTm5DERHXp4oygKrmPTRvX0vK3Q+hPl8dFEzFS1ZDnYe8APzTbkA1aiJxTz/QbasPSVQE6vEjUI8fgb2lDc3qTZT98zdE3zGL+Ozrg24LcSkRighIoCQk2GP5+75729AxmHO4mAJl778XA06rlaqV7yJSKIh76v6gr+na3Ey0D93Bj9/6GLVEwhNOJz+/YybnErtOsV9KCA4H+mUryHryhh6ddzvikhAYkUh0M/AmIAH+LQhCQCUI597fjqVBQ9RLC0Ny4xJsdprf+oiouTNQZWQHPZ4bmsN7UWXldtJRdJeW6S4F1B1JCUSrEgycdhtV9Tto3bmZiMIRZD3zDQwlRSH5gTutFuoPfYlh5wGi75yNeso4RGIxv/7vUubtP8qQv/+cYwOy+NH9t/H5xFG0GE00/vqfhE8eS9KI2X0msIIg0LZrC217tpI//UnCo7L6/h4cdip3LcXYWsOY4U/R1OIin/5s/MePH49IJEEikZGQkMDqVWu5/Y5bKSoqYuTIkQAUFhaybNkK4uIScDisOBxWsrPlHDhQiuic1C95cTrtnKj/AmNLDYNufRmRRIJMFdmnyjLB6aCseBX6s8VkPv4i8nj/lv69mlDsNr785+89D5tVCg79+juE9/I3LI2LIe7Ru7FOv47WD5Zj2HOY1JsfQB7bPx4Z/b3qv5hpq2CP5e/77u1k3xvdTEdcLFffi51KdJiMVC37N5K4GOKeCM63yhu37j+GWqlAuG0G6lUbuWX/cdaMDc2CM9SQHNqAPFZN7KT8Xu8rEoTAHFdDBZFIJAHOADOBamA/8IAgCEVd7RM+MFlInjuKmk/3EPedl5BEhOZm0vrRChztWjJuezxkQkFBECj/62/InXgfEUk5IRnTLfxNHzs3oB5JoYjKCE4nNe0Had78JcrUdOJn3NrrsG930J8+Sf36ZSjysoi5b67LOVkQKH7+h6hsdgB2FOTy4HeeBcBaWUPTm/8l6vaZJORO7nLcQMS6DauXYq6tomDqE8jDY/yMEhjsZgNnN72HVKFmROZdHh0LuPxcqmv2AHjKoadOi+fllx/2bCeXiykvL/WQF4AjR46Sl5uP2WIHBBwOK2/++T0WLVpLUuJwmluKPVoY93GOlH2KVKYk54YH/bYH6Iiurg+7xciZPf8DkYjUex5BoupaCxTohGE4W8zRD9/GXUshAAP++Qvs8uC6wwtOJ7oNO9F+sdl1TQyYEnKxb+vOTTStX03CzLlXbGVSb9HV9xpKMtcfn+uV+F1Z21qoWvwOqqEDib731pBGE4eXV1EbG01zVATxGh0pbRqOZwdWmnwxYW9po/GXbzLsTwtQZfiPEO2a9buDgiD47Tp7KSIw44GzgiCUAYhEok+A24EuCYzDaOXcf7cR/+2FISMvxsMnMR07Rc6T3wrpjc90rhyRREx4APqDQNFd5CaQLtU9wXtCkyrUtFcep+r4l0jC1KTe8zCqzNAQMTjfjXvrMmzV9cQ9ejfKQhfrzqprYOsP/+ijadpwXoVvLi6l+a2PSL5lPhG53a8iuooM2A162vfvwlh2BpFMSlzqcBwOa8Al7R1haK7izLp3iM0ZwdDEOZ3aQ7jddAGPDkarMeJwWBEEJyKRmOrqRhYs8BXVLVjwAJ9/vprIyEjEYikgQiJJ8zjyejdw1OvrOXL6I2JzRpA2+pZON8BAGzMCmNrrObP1v4QPHELCzLk9rgR7WqlaW5up27qcW8qqPOQFYPaPXw6avACIxGIiZ01BNayAlv98iunISVJnPYAsKjrosd24UiuTgsHFSNX0x+d6pX1Xxoqz1Cz/H1G33kjEjN5VvQaCYzkZnv83R0XQHILWOqGGIAgYF39Kyp1juiQvPeFSEJg0oMrrcTUwoeNGIpHoGeCZ8w9I/NbTyJIDM5brCfY2La0fLCP9nse7XWX2BboTh4kcPsaHFF0snYobvXHyBajY/gma6lOY2hvQG+pAEEiYPQ/1gEGhi0w5HDQWb0a7dgvh068n/pkHEMlkALzy+TpeW7XRZ/tRb/yA1uhIjIdP0vr+Z6Td9QhhOT2HGLu6kbXt3krrjo0oM7KJjc6n5uAXGJoqO+mNvD8bu8Xgca317jFlaK6ieM0/EBxW1CZlJ/JitRnQnHfTjY7O86ST6mrliMVSnE47LS2t3HPP3Zw5c4bCwkI+/ngRCxY8QFFREXPnzmHJksUkJibjdNrZsmUtCBk+lUgVomLOnVhGxoQ7iEwbSMPJrZ2ur8ainX4bc3a8PtoqT1CxZwkJs24jamTfDA3dcNrtNB5fj27jTiJmT+WP5y6UTFfHRHE6Ky2o8TtClpJI0vcXov1iMxX/foOYe+cSlz4+JNftpepKfSkROXI8TqsVh9WK3aD30buEitj0x+d6pXxXgiB47oNxT96Hamho3KevRMiObcKmMZJ2X6fpP2BcCgLj787SKY8lCMLbwNsAytQYIVSdOAWnk9b/LiZi2sSQRhbgvH/JmSIKpnftittd9+iu0NuISm+cfAUENNWnECuUaNsrSZh+C+GDQ1NZ5IaxopT6dUuRxESS9PoLPu0eRE4n3/AiLzXRkUz57XdxSKXodx2kfelaMu5/BmVahr+hO8Ffnt2uaUdzeB/qgYUMGHOf67giUSe9kc2s95A5XX0pTocdXV0JFl0LBbe8gEwZjra2hLKtH5IQO5DGphOdjm+1GThR9Cnt7aVER+cxtPA+T+nzkaOHOHFiJsnJSubPn8+ZM2coKBjEsmUrSE1NY9myFdx++22cPl3M/Pn3snz5Ks6cOYvNGkdzi6sPkiA4MYRZaKs8zsDZzxAWl+7jLeS+vqIyC9E3lZ//kP33OxIEJ+VlX6E5vI+0BU+iSu+7FgjAWFlG3ZefIktKIPnHL/PC7sMcGJBNwqETVCXEMev/vhXU+F1BJJEQNe8mVCMG0/LuYgxxx0idMR9ZZHS/HO9S4WKkd6TqcMRyOU3rVyORyz2koKPb+KV0Lr5S4TAaqFn/CY7WdpJffyEok7orHbbaBmrf387QNxb0WrjrjUtBYKoB79koHajtbgdBHlw3YW/ot+zBaTSTNCL0JWV2TRuCw47y/GrduzQaLkwuvRXd9sYPpjt4n4+AgFQZTm3JViTqCOJnzCFq5PiQ5mHtOi11O1dgOVNGzH1zUY25QIzCDQasMjlWuYw3bp/JN1esZ8X4Ybzy7EMALn3DV1vJfGhhn7Q37hWjtbkJ/ekTZE+4h5jsC+kn92fv3cyypWQ/mupTKKMS0VSfImnoDdiMGsyaRlpK9qOITKBy1xKGFdyPWp1IRER6J7FuXf0h2ttLAYiOyvJoVdyNGH/8YzF/+ctvMJlMDBxYwNKly4iICMNg0BEREcbSpcu55547MZvNGAw6Xn/9m1gtWaQkj8ZuN9OgL0ZiDaPwtleRKl1je7vnuqMuuvpSdLUlRKUPJnFwZ82Q3WKi5MDHOM0msp5+NShnXafFTN3eVZgOnSTmgXmEjR3Gjz5czlOb9+AAvr/gTj6dMbHHcYKFPCuN5B+9hOaLzVS8/QZRd7j0UldypZI3uoqChDrt4y+K2bEE+lI7F19pBMpQeoa61YsIGzuM+GcXIJJdUQXAIYXTYkXznw/IenwqYZnBVUZdik9xP5AvEolygBrgfuCiuOvYm1rQrNhA1mMv9Unt3dOPxlxfizI5zTNJ+yMrfSEjfW2w2BHu8zE0V2HQ1yOSyYifdjPhBUNCepMXHA4aS7aiXb0J9eRxpPzim4iVF8SlL67cwLdXrGdnQQ4Lvvk0f71tBn+9ZRpIpQiCgHb1Rgy7DpH1yEvIovu2SokcOR5zbTW60yfIn/Z4l4LqjtExwMeLJ3nYdFpK9iORK6ncvZSRhY8QGeFKg7jLpK02gye94+2I693LKCV5NG3t5ezevYbf/jaWTz5ZhFqtJiEhARAhFksRiSQkJ6eyfPkXGI1Gliw+7CEvOl0ttU0HSRg0iZQRMzqlrYwtVWiqT5EycibpY+f6RJc6RvqMrXWUbH8P9YBBJM6+PajKB0NZCXVrPkFZkEvKz7+BWB3G8LMVPLXZJWCWAHUJUX0ev7cQSaVE3z6TsLHDaPtgORW7DpJy03yUqZefgLG36Co9Gmr9h790TMdjdNf/7WLgUhOoQOEwm6nfsxLT0VPEPnbP1zplBK4sheWzRajzEkmcE3xV1EUnMIIg2EUi0YvAV7jub+8KgnDyIhyXlv8uJXLODV2WhvaEnn40dk0bsvN29jazHofNSsrImT02ArwYsFtNmNRWxAolZqeOxDl3EJY7MOSVG8byEurXL0MSHUHS955HluL1WQsC6370RwrqGgGYdLqcguoGTmeleshL+5I1mE+eIevhl4KKCmiP7MdUXcng2QtRRXftEuxNKP2ZAZo0DbSUHsJq1DBm6BOEh3ceyx1dARepyc2e4SE18XGDPJVD+XlzOGZqZenSD6mqauJHP/weqanZuLOq7uqkhnoLH7y3i8rKZjLSrqe4fTPNZw8QnTmEhEHXdSIv7siRO9riJiz+DA1rNIdoXP85CbNvJ2qEX2F/QHBaLdTtWYnpcBGxj96Fatggz2srf/1Pz//NUgnbhve91YfbFl09aSySiMAjsfK0ZBK/+yyGnQep+uRtwkYVkjTu1pB5PXWF/owMdCQW3sfqz0nc33sKxpQuFLgSRLu64hM0rPsM5ZCBLnJ/hfQj6k9I9n+FsaKZoX96MDQ6tRCcU68hCMIaYM3FPKZh+34Eq5XEwf3XUt1ptSI+X2HRUrKfuqPrSB87t1+Eu4EKg82aJqprdqI9egB1/mAyHl3YL6tRW3sb9Ts+x1JeTcy9t6IaM9TnAlWZzBS9+BO8p941owpd5AWXNqntoxVYK6vJWvBCj60BOuLCTXYcrTu3YCgponD2i8jV0d3u1xOhLNvyEaa2WqKisvySF7jg+RIfN4jKqu3Exw3iTMkq2tpLaW0toe18SgnAZGoiNrYAmWQMf/zDLhITTzBocKqnG3XxqVoaG7UAGE0tHCtbgkSmRBWTTPPpPSgj4rvthN3VteB02Ck7tRLD2WJS5j+CpbbKR6TZG5iqKqhd9RHyvCxSfvYqYvUFV9x9r/7Mp8t0wVv/1+vxvWHYeYD2Ja5bReTNvbNXF4nFhE8ZR9joIWhWbqD8rd8ROXsqCYNuCMi9uS/wt8jpL1JzsaIQofCACTX8RYksTQ00rVtJwqx5l4RUueGuwLM3NBP35H2ESr95pcN09BTtS/Yx7M2HkChlIRnza5GIc2j1tC/7kowHn/NJlfT2xtKT0l0sl2PXtLmiL3YLKSNmBa1b6QrdaWkEp4PWsiNUF63HYTQSPWYC2c9/O6Qlpm44bVYaT25Et34n4dOvI/aJexErfCeHhzfs4peLVvg8N+3nr1Ge5rrJCA4Hre8txd7cRuZ9C/vU78Z9k9WdPAoiEYU3veDRiPQVLaWHMLU3EhmRwaCB/ntkeaeP3JGYtvZyD2lRqeKJjc330cq4/19ZtR2rbTSNjVqfcWTSMMocR6k5uoaUkTNxOmzUHPiCqPTBPZbS+yO2Fn0bJbs+QBoeSdYzr6E5tLtPE59gt1N/+Ev02/cR+9CdhI3x7bO0cOUGknQXOmh/5+E7IMhVlnrSWJ+/fYFYHUbMA/MIv/E62j9bS9mmXxN12wzis64LmXGYG/4m9v4iGsGQiN7c+/wdp7t74aXSpzStW4mhxFVVmP7g0xftuG44TCYajq7DsGM/EbOnkvD8Q4hk0j5HEa8mWCuqaXt/MYN/fhfKpNCllL8WBKZ96RrU141GmexbwhnqG4s8PhHdyaM02ndQd2Q9KSNnIlOG90sZtT8tjUXfSm3jfjSH9wFg17YTP/0W4qbeFJJjesPVMfoYDZtWIs9OI/nHLyGN969XSWrXIOBKlLSHKRn7xx9iO19CLdgdtLyzCKfJTOY9z3oiWN3Bb2O6YWPQHD2ISCZn0JQnAzJ06w66+jIqdy0Bp42EhCE+/ive8E4fuYlJVGQWJmMTJnMrcrnap6WAuy+SuyWA+zm3b4zR2EqbqQJEIgrmLEQVk4zNrEeEKKDrx7slRfaU+zE0VVG++1Nir7+BmOtv9Oll1HHi627isTQ1ULP6QyRREaT89FWX8WAHfHPFes//zyTHs3jadd2eayCQRKh7HXnpCrLkBBJeeARL2Tnal32Fdu0WIudOJz59QsiITCD6kVAhmNLh3tz7LmaX62CQMGuez9+LBafNSlPJdrRfbkU1YjApP/sGkugL6e9goohXA2wNzbT8/V3yXp1NxODUkI591RMYS9k5zCdLyH3+e51eC9WNxX3jD8sdiLn2HDbl+fCl0LWYt7foSILcq26HzUxzyX4aaw5iqa8lYuhI0hY8iTQiyjMZhRrmumrqNy/HaTQT98R8vyFSscNBbm0jZzNS+MM9c5h9+CTF6cm89PxDnm3crRwQBDLueAqxLLCwYscbpE3TRtX//oU8KpaCSY8jlgR3WZvaGyjd/D6F+XejNzbgcFix2gyeiiI3rDaDy+o/a7rHnyUrYwqVVdsxmVuJjS3wEfK6UV2zh9bW08R4ecS4HbHrGg6A4CRt9C2oYlwpq97opuLyx3n6aZ3Z/QG21hZS732UsKxczzZdTUj+Jh5BEGg6ux3NinVE3Tmb8Bsm+M1dTz98grfm3MCLa7dSEx3JzP/7dkDneymgyM0k6VtPYz5dhmblBjTNG4mcfQPx2RMDTi31JspwOXqU9GcK6FKllxQJSRc18uK02Wiu2IV2zWbkWekkfutp5Gmd08yhiCJeqbC3tNH65r/IfHQycX1oFdATrmoCIwgCbYtWEXXXzYgVndMSobqxuG/86vzBCHY7Wk2lpxKk/vhmnzLq7hBoz6OEQdejqT5FY+MxjKWnUWXlET32OtQDh/iQgFDfNO06LfX7vsB09BRRt88kfKr/suu5ew/zt7c/wS4WoQlTMeW332NmBw8Qp9VG898/QKSQkzHnEUTSwC9F7xuk02qh6r1/YGtrITFrbNDkxWbWc3bDf0gfO5dEyVBMVW2Uln3pcdP1Rl39ISoqN5GXezPgSgm5K5EAH8t/f4g634Op5Owa6tuLEElkZE64E4fVSFz+uD5F7mTKcNJGz8Ggrwcg69nX+txvxq7XUbNuEU6NjqTvL+zSSPJn7y3jse17qYsM55Un7uHzSf2TNg01lAW5KL/9DJazlWjXbKZ01QYipk0kfuCUHsW+V0oVTFfoT1J1ORK2UMJpsdBUugPduu3IMlOJf+ERFDld+1S5o4gOnQHtl1u/Nqkke2s7rX9+i5Q7x5I0Z0S/HOOqJjCmA8cR7Hbi0/u+EghkpeVdWqhKz0Jz9ADmSAfCuZPUHPgC6D7y4p6oHHYLdUfW+90+IjWf6MyhtLaeoXbxepQZ2UQUjiB57j29Frz2Fk6blcZTm9Gt24560lhS/+9bXSrq3/7L+8w+6uoKIXMKRJrMGDtoYpwWK81/ex9xRDjpsx7sdfjefYN0WsxUf/g2irRMEnMnEj8wuBWf4HRQtvl/xGQPJ1fiauvuTUY6wl0y7XBYfVoHZGVM6UR2vDUu6WkTkUjkxMUO5EDRu5jb6z3bOaxGz3fvbVAXSA8sgPaqIsp3LyZm4hRiJ03vVXm898SjP1NE/Refop40lqgXHu6SYCY2t/HY9r2uz0OrZ//AXL/bXc5QDMgi4eXHsJRU0PrpakrX70A9agjxQ6Z2aaAYiu7Obft2IAKix0++IrxMvu6wadtpLt6Gfts+lIMHkPDyY0hiozHsPIA0PrZHUvJ1SiXZW9po/fNbJN0ygtS7+i/ydNUSGMHhoH35VyTPujsoj5NAVlreN37FDbOIHDWemkXvYlAoSBw8pVPkpePk446uRKTku8quB4zDomtB31hBq6EMY3kpTrOJsLyBRA0cSer8R/22QAi1U6fgdKI9foimrV8gz8kg6QcvIuuiJbvUZqfoxR+jsDs8z+0emM3933nOR8jptFhpevO/SGKjSZ+5oM/fjcNspvqjt1EkJjNg2N2dSov7AndX6WhJEtYIV8rInRay2gyeCAvgISMSiZzSsi/JzppOXu7NfokOXOiN5HBYyc2eQVxMPodP/Q+boQ11QibhSTmIJQqfa6U7z6COaUmnw07pyc/RnTxC8l0PEjGwsE+fgdNmO18efYK4ZxegLOiekOz77oVG8haJmJqE4IypLiUspZXYyquInHcTIpmU6mXvIYlQEzPseiKHjvSJ4oaiu3Pr1nWAS/zfVXn05UpsroRzDAUEQcB0rpyWE9swnywh7LpRPvdB7ZdbaV+yBqfFilgh7za6ohxRiPJ0GcoRffttXimwNTTT+ubbpNwxmtS7+zcae9USGMPuw4jD1ZjralAkp/X5R9aXlZYsMpqsJ1+mbf9OWndvpb3lLOrcgURJU5DIldSf2IqhsRyrUUNM1jAk8jAUEfHo6kow6hupP7EZsUKFKjMHVWYO0WMnoUhK6XGyD6VTp7G8hPotKxGJxcQ98wDKfF8jOB9lfXgYJc//APF5x3oB+O1ds/jnrTN89nGaLTS9+V+kCbGkzXigz+TFaTlPXpJSGTD0zl6RF5tZT+OpHSCISCyc5IleaGvP0Hz2IAgOqmp2IldE+ERR3ATEatVjMDbR2nraY1iXnTWd9LSJPh2iO3rAuLc1mzXsK/43pvZGUoZNR8BJfP54vymi7rQv3uTGrGmkZNeHCA4HTrMJW1M9dCAwgUw4loY6alb9D1lyAik/9S2P9oeTz77u0xek4J+/7Hb7yx3eWgV32N984gzarXtp3LiKsFGFxOZPQJWZG7TxY+TI8TisVkR0vreEKj3VnyTjSk+h9QS7QU9L1T4M2/YhCAIR064j9pG7OkWe3deM02LtMbpiPlqE+Vgx5oJc5ClXZwTGWllDy9/+Q8bDk0i+dWS/H++qJDCC04l2zWbU6QNo3rAakajvP7K+rrREUimx191AzIQpmKsrMVaW0tJ4BlNVBfb2VkQyOe1NZ9Dpq5GEhUNkGOhcx7PoNMTeeEOvjxsKp05LQx31O1dhq20k+q7ZhI0f4Ve02TEcuic/h+vPlOMECv75C6wdqomcZgtNf/4v0qQ40qbfHwR5sVD90TsoElN6TV7gvD/P+TSdRCZ3CaGtZip2fEpC3GCamk8QFZXdZSRFr6+jrb2U2NgCACoqNxEbW4DR2ELRuc/Iz5tDc0uxp5zaXWkkFru0SQ1NRxCcDpKG3AAIXZKXniBThpM0dBrVrfto3vAF8TfOIbxwGNoj+/1+z91NOC6h7jY0KzYQPX8O6kljezSZuu7kGcK9om33v/IEQohLki82OlY8icRiVMMHoRo+CIdGh2H3Ieo3LMNpNKOeOJKYzDEoklL7ZMglVYeTcKNLO+Xdt0uqDg+ZCLY/Scal9oHpDzjtdgwlp2gr2Yf5VCmqEYOJeehOFANzuvyOvfUt7ghMV7jaxbymk2do+88icl+aSfzUgotyTJG7+uFyhiI7XUj+8csBb288cAztV9vJuPtJzw09mBVIKFcyPaV51AOHYDhz8qKHZm2aNhr2rcV0vJjIW6YRMe267vt1tGt4+ru/xT5jEv+991ai9EZeXL2R/7tvbifvDw95SY4n7cb7ek1e3J9NxNBR1C9fhCwmlgEj5vuQl0AFr/4iMOf2fo7TZmFQwk0+HZ+9YbUZqK7Zg8NhRSKRe6qL3OXQKlWCx6SucNDdPhGYMFU8Z2s3YreaSB83D5u+FZtJT8PJLaSMmOXTKTrgz8Rs4OyRJVibG1EPGETs5BndXi9dXnduoa5WT9wzD/g02uwOFU9+1xN9qYyLZurvvt/r93ClwlpVh2HPYYz7jyGSSQkbM4yYtJEoUtL6RGZad26iaf1qEmbODSnR+LqkeYKB4HBgLD9LW8VBTIeLkKUlob5uNGFjh11zzu0FZCc2ce69HRT8cB6RwwJrvBsods363UFBEPyyvqsyAqNbv5P4sTciVUeEtMoIumghEIKSSvfKq+M4/X0TchgNNBxZh2HnQcJvmNCtQNeNMWfKWfbbt1z7r9tGdV4m68cM4//uv63Ttk6Llaa/vOeKvPSBvMCFz7/90F6UqRkMGD7fr51+oKXqEqmCqMxCWkr2E56US2vpQSaOedWjd+kId0oIoKp6B3m5N3sITuGgu6mu2YPVakCpiCQ/b45nHL2hgRZbFVWNe0kbcwuxOaM8E1zNYZd3TMdO0f7QkZxpak5TvvtTIoaMRJmSQfOmNUjDu7/W/V13hrPF1K3+BPX1o4m6fWbAlWCTT55hS2E+NxaVYBOLv1bkBUCekYI8I4Xoe+ZgLa/GePA4NZ+/j2B3oBpZSHTqMFRZuQHbAlyOPjFXM5xWC4bS02iqjmM6dgppQhxh44YTdftMpLHRl/r0rigIDgf2L5fRuLeUoW88gCr94nbYvuoIjLWqFntLG+EFQ3veOEB0d4OxG/TUf77I4wAZrLCvI1HqijwFS2ycFoursmjDDsLGDCP5Z99AGuMyX+rOOfIP//6U+bsPeR6LBNg21H+40ENe4mOCShtFjhiH5uhBZJFRDBztf5yozEJ09aWekvWu4G30pqk+hVQViTI6GZvN2GX0xW1W50+o6962tm4v2VnTUYclYDS1UNKyDU1NMcnDppM77WHEUt/JLHHwZCRSRUBOze5zFpwOjDI9uqJjJN9xP+q8AuwGPSKJuFeTn9Nmo37fKowHjhP39P29sjqfdPgkH/3tAz6eOp7f3jGLf9w2o+edrlKIRCIUuRkocjOIvmcOtpoGTEdP0bh7LbalDSgKcolMHYQ6rwBZXEKX0ZlrRKN36O29TxAEbC1NtLcWYTpWjOVsJfKcDMJGFRJ156xrpKWPcOgM6N9/H0Qihv/lYaQRvXdQDxZXHYHRb9+PevLYkFqEd3eD0R7Zh6HkFOr8wUGvoPwRpa7IU1/z206bjaaz29Gu3YJy8ACSXn+hU9rAX7mf2OHg8Ks/J9po9mx3PD2FuT99xa9dvGCz0fy3D5BERwYl2BUEgeZNa5Gqwym4/nFEYv/fq+ZcEZrqU0Qk5/ltYgi+DTZjc0e5tFK1p9GbtJTY1vo443ojUF8Xm9XI0ZrP0VSdJHHwZIbd/X0kct8ftXc0pTfmdFZDO40VB1CmpJH9/Lc8pfO9nfwsjfXUrPwf0sQ4kn/6KpLw7oW63siuruejv30AwIJt+xj/h9cD3vdqh0gkQp6ejDw9mahbb8ShN2A+WYLhZAktH7nK6xWD8ohMHIgqKxdZTFzIG6l+XRDIvc+mbcdUUYq28TTmU6XgdKAcMpDwKeOIf3bBtfRQkLCUVdH+7w+ImzqIrCemIpIEXwXaF1xVBEZwODDuP0bWY4HrZYKFN8EINsXjbzLqaoLqbdhZsNtpqtiF9ovNyLPSSHztKeQZKX639Sc2e+M/i33Iy5/mTufPd/rXbgh2O03/+BCxWhVUqTRA86a1WOprGDz9OR+TOm8iAPjt/N0R3g02VVFJxOWNxqRtIi1uJEmJw2mOzvEr3vVOLRmMTZSUriU/b46nvUBUZCaqmBTqW46RlDSZoXd/H6niAjHwPld3NMVht3giMN1pdpxOB9V1u2ivPELizbcTOXyMz+uBrkZ9hLp334x6yrheT6BbfvInj+7FJhbTEBO6niZXGyThatQTRqKeMBJBELA3NGMuLkV7+hRNW9cgCAKKAVmEx+WiSs9CkZLWbw0mrzZ0vPcJTifWpgZM1RXoW8qwnK3AaTShGJiDclAekbOnIk1JvEYYQwBBEJAcXEfLx3vIe2UWcZMHXtLzuaoIjOVMOdKYKOSxgQkRQ4FLFf4N9LiC3U7zuT1oVm9ClppI/AsPd+saCb7VGBFGE8t+9Q/u+v7z3HbgGGKHk6F/+xlGlf9woeBw0PyvRYgkEtJvfjioSFjb/p3oTh6lcPaLOB12moo3d/LOcdgtGJur0VSf8tv525s8dEwzWY1aYrOHkxvnSoN01e/IGyWlrkhNieAkPr6Q8tptgJPkIdOIHzjBbw8mb32ON+HqSbNjaqvj7N5PkKrDyXruNWSR0Z22CWQ1atfrqPlqEU6dnqTvP9+lo2532PTd3/iUTOe/dWWXTF9MiEQiZMkJyJITiJg2EUEQcDS3YTlbgan0HO0bD2Kva0SalIA8Ow11RCbK5FQUSSl+HcS/zhCcThxGA9LIaBqPbcBaUY21sgZJZDjyvCwUA7KImD0VWWpi0KXu1+ALh06PcdHHWNsMDH/zQZSpMZf6lK4uAmM6Voxq5NVtEhQoPMTli83IkuKJf/YBFAOyA95f7HCw+9u/xiKVktXSxszDJxn0l59g76ZTtOB00vLuEgSrlYw7ngqKvOhPn6Rl63oKb34RmTLc40rrsFmRyOQeEuKwWdFUn+qyU7M3eXBvq4xKQqYKx+mw47Tbuj2Pjl2iU1PGoLc20m6owWBvxWZocwl080bTVLzLQ7C8iVNc/jgcdgsOm8sLJnnYjdjMeiQyud9zFpwOKqu30LZ7K/EzbiFq9MQuV489ReJ8HHVvn4lI2vvv5M7te8lrbvM8fuWJ+Vd8yfSlhEgkQpoQizQhFvV153th2WxYq+qwVtRgOHeO9qK92GobEEdGIE9LQpaaRJgiBXl8IvK4BCSqwFN/lxMCjhg6HNjaW7G2NGFtqsdorMNW04CttgFJVASyjFTkWWlE3jINeXY6kvDeu5Ff6xIdOEzHitF8uIT4GYUU/PgOxLLL4/d/VREY86mzpMyaf6lP45LC02Bs7RZkKYnEP3N/r4gLQEpTC7u/9ztEQDPwe+A7/13K/320gnUjC3nl2QWd9hEEgbYPl+No05B5zzOIe9HbqCPMtdXUr/iE/OlPoYhwOV7G5Y/DYbOibypHV1viea7x1A5SRszyMaWDC+XSTpuNpKE34LBbsFsMABiaz6FvKCNpyA20VRzFFHUdKqX/1URt3X7KytfTaCzBatQiOB3E5Y4hLn8cguCget8qorOGdqqC6tgVWiJVUH1gtYe0dFXybWqro3Tfp4iVKrKe+Qay6O5V/V1F4pxWK3W7Psd0/HRAjrpdQexw8Of3lnkeN0Wo+fwq9bG4lBDJZChyM1HkZnqeE5xO7I0t2KrrsdU1oK07he3wNuwNzYikEqQJcUjjY5AmxKESxyGNikEWGY00MgqxUnVZpkzcEUPBKRA5Ygx2rQa7pg1bexsmRzP2plbsjS3YW9pdRCU5HllKIoq8LMKnjkeWloJYFVyneTe+Ttb+3vBE1V9fiK4HLZDTZMb2xWdoD1WQ/725RI3I7Hb7i42rhsA4zRbsDc0oU9JDPvaV4KfgtJhpOnu+wVh2OvHPP+RzMwwUv3lvCQ9sP+B5/C7wXcAqFjM/LoY3/OheBEGgfelarOfqyLr/+aBy+XathppP3iV7wj2EJ1w4f5kyHIlMjq62xBNtcZvS+UsdeRvWRaUPdgl8U1zdUFXRyUhkCuILJqCIiGPf4X8QnTmEGEc8EokMu92CVqHD1FaHobkGWVgUqthU0sbORR2f4ZkY6o9v9giHO9r+e3eF9tbqeOtg4EL6yOmwU3luE+37dviNuvTmGjTXVFGz6kPk2emk/PSVoASLwypr0ChkRFlsWCRixv75x30e6xp6B5FY7Ek9wTDP84Ig4NTqsTe1uCb85lb0LZU4yo5ib9PgaNeA3YE4KhJJZDiSyHDEEWok4WrktnAkShVipQqJUolYrkAkVyCWyRDJZIilMkQSqSt6KhaDSORzHQqCAIKA4HCA04HTbkew2xBsNpw2K06LBafVgtNswmE24zQZsUh1OPRGnDo99jYNIqWC5s1raD2wDWlMFJLYKKRxMUgT41EOGYgsMQ5pQiyiAMvQ+4qr3ViuK0w/VszAukZuPH6alRNGdrmd6Xgxmo8/I3pMNiPeehypOjTEMZS4agiMrbYBaXJCr7oaB4rL2TbbbtDTVLwV/eY9KAfnkfCNJ5BnpPZ6HLHTyZbv/44sr1RBU4Sah3UGbBIJTzid/PyOmZzz0wtJu2YL5mPFZD30YlA5e6fNSs0n7xI99npisoZ3et2bBMiU4d2WTrvTNggiItNdQrPkETMwNBTgsFtoOr2LiOQ8kofdSHTmENrPnUSrbcZptyIJU6AMTyQmaxhh8RlI5f4JQMfz6RhZyZ5yP42ndmAzuaJBiYMne7bz3l/fdI6yfYuRRcWQ9ew3kUVFdzpWINeg4HDQcHw9uo07iXlgHupubk6BYMSZUlb+9m3+OO8mCqrqWfjiw0GNdw2hgUgkQhIVgSQqosvoqtNixdGuxanV49DpceoMOPRGLE4tTk0DzjozgsmM02xBsFoRLFYEqw2nzQ52u4ugOJzuA14YWBBcjyViRBIJIqkUkVyKSCZDpJAjVioQKRWIlQrE6jDEYSok6khkGalIItSII8Nd5x4R3qd0ZijR0Xn5akB30ZU3//Uxs44UobHZ+T3w+juf8Nv3lnaKqjs0OiyrPkN3qpYBr91M9Ojsi/smeoGLSmBEItF84KfAYGC8IAgHut8jcNgbWwJ2Ee0tLkfbbGtrM03HN2PYe4SwscNIen1hUO8/o6GZGL3R87hVpeRgXhbXny5DuG0G6lUbuWX/cdaM9SUWui170G/bR/YjLwXVFVsQBBpWLUUWG09a4gTqj2/ulGLp2Buou9JpmTKctFEuq3bvSIlHf3K+Ashm1tNadrjTsdwaFlVs12Sw4/l0jKzIlOFIpIoLrQukCs/zycNuxGGzUHpqBdrjh0mcPY+IYaP7rHWxtjRR88VHiBRykn/8ctDeFlE6Ayt++zYAr63cwKB//CKo8a7h4kKskCNOiocg74mC8zyJcTu2i0QBi2OvaUwuPrqLrvzxjlkMqapjcUMzPxQErCKRT1RdcDqRHd9E7fs7SZw1lJH/ehyJ6vKujLvYEZgTwF3Av0I9sEOnRxwZ0en5UKR/Ql1p1Ofu0IKAuaqCpqObsZwuI3zqBFJ/+U0kUZ3fd6B46sstHMjL4kh+Do+++jgf/vE//ObO2fzi09Ucz07nB4/cRXNUBMsnjiKlTeOzr/HAMbSrNpL5yItII/teUms36Klf+Sm21maGzH6FpuJdAbnqdtWtuaNzrfd2HV9zi4M7Hqs7Z9+u2hb4iwi5tTuIBJ/zbK8qomL/MsKy88he+O2AHJz9OTULgkBT2Q40y9cROXc6ETOu73P1hXfF2ZFXf+6pOtIr5JgUcgSbHYdGi9NsQSSRII4IR6y+PLUW1xAa9OVachMXp8WKduUG4OulMbkUCCS6UpkUzx/vmMmP3/oYOkTVLWcr0S/9DLFCxpDf3Yc6p/eVipcCF5XACIJwCuiXG55gtSOWd86ZXo7pn96ek2C3ozt1jJZDW3HqDUTcNJm4J+5FrOx7TlLkdLLph38gt6GFxkg1zz/7IA9v3YsIWLj4C34PPLRiPS+s2ez5ETR7ESVzcSmtH35OxoLngi5bb9m6DsPpkyQNvRGJTNElMemIrro1dxTQem/XkbB0dSzvyiGbWe9DVLoiN/4iQjJluE+vI6tBQ9mJFZhrzqHOKyB+xi0APs38ukLH68au1bj6GOkMJH33WWSp/g38AoV79bbz2/+H97Q18vo8mn76W8z1GmRRYUjUcgS7E1ubAZFUQnhBCtGjs7Dmjkcaf3GtxC81eiOIvNrQVYTFLY6NnHcT0fNv+dppTC4FeoquuHHr/mOolQpPVH3czoMsPX0Y7bFzZD1xA/EzCq+oBclVo4ERSSU47fZOz1+O6Z9Az8mu09J8dif6rXuRJsUTecuNqEYODtrfIMJg5PjLP/OssBO1BiJN5oB/BNaqWprf+oi0ux5BmZIW1Lk4TEZ0p44TmzeW5GHTgK6JSUd0FQnpKKD1HqsjYenqWO70j7tyyHubrrQ33REvwemgqmEXLdvWEz32epTJqTRvWos8zkX+AiG0F66bcTTX7qftk1WET5tI1K3Tg9ITeK/efgc8YbnwO3omMxZnYRoD752AKjPOp3xSEARsrXp0RbW07S+j9ZO/EJYRh2zCJMLGDet3EeblgEAFkVcjuqri8RbHXksdXRx0F13xxr9uvoGfLLidRpmU96x1VK87QcLQMeS98tRlny7yh5ATGJFItAFI9vPSDwRBWNGLcZ4BngGQxEX3uL0kKgJreVWn5y/HPiPdnZMgCJgqSmkp2oHpZAnqccNcwtx0/665vcX3F6/mua+2XzgeMOunr3LmvCtvTz8Ce0sbTW/+l5gHbycsOT+ocxEEgfpVS4gYPIzcIXf2ev+OkRBvQpM95X6f6h83AiVH0DUhaS07jKb6FGHx6R6dTXdj6xsrKD+4DIlSRcbjL6JISDrfw0jit21EV3CnkWo3LcFW20DCK4+jyA6+6u6Pd8yi4FwtP6lvYgkgAr4N1MSHc/LfT9HVlScSiZDHRRA3pYC4KQU4bQ7a9pbSsGYf9Z+tIunWEQhjZgSV4rxcEagg8mpGV1U8V6M49kpAx+iKP83i0fRkJIc20rB4L9Hjcxn6zpMoEq7c32fICYwgCDeFaJy3gbcBFNnpPbbslaUlozmfb70SYTfoaanci37bPkRiEeHTJhL7yF0h7dnx1JdbfchLW5iKUX/+kY8pWXc/AqfRRNOf3yVi1lTik4MPC2uPHsDa3MDAMQ/0af+OBKMrm/6uIjX+0HFbv2RHEPn+7Wosk47y4jUYS4tJmHmbj0i3I4kNhGTrTh2j/svPUE8YSfzT94UkwiE4nRSVVzHZauQB4LfA47iI7f0fPNurscQyCXGTBxI3eSCmqhZqlx+k+ce/J27yQCSTZgad4rqcEGi08mrGNaJyecEdXfGnWRRsdmQnt1C9aA/h+UkU/vbK0bl0h6smhSRLS8JpMmNtbQ5ZK4GuxLah8oURHA4MZ4tpPb0X86mzhI0qJPaxu1EMyO6XPOTqscP44ZI1iID3p43n93ffwrqf/Nknf9/Vj0Cw22n62wcoC/NJGhxYRMtu0NO2bwciIHr8ZJ/PyqZpo2ndSgpmPtepU3Og6EgwurLpbyzaSd3RdThsVo8epStS0514143EwklduujC+f5F59NFkSPGkv3C95B042DcExxGA7VbP8NaXkXC8w+hyM/u81jeMJ04jWHFKsQKGb9OiODFVgNHC1OJLqpl8/UDcAaRllJlxJH38iwyH51M/arD1L/xFuGDUpBNvQnFwJwrKs/uD4GG7K/hGi4Wjnm1iGmOiqA5KuICcfl0L2GZcRT8+A4iBoUmmn854GKXUd8J/BVIAL4QiURHBEEIyZJFJBajnjCS5tM7SL3ujlAM2aXYNhhhsCAImGuraCvfj2HfUaQJsYRPGkvc4/f0S4fUby9dy8Nb9jD8rz+lPj6W390xi12DcjmSn8Ptew53yt/7/REIAq3vL0McpiLl+sBTPdoj+2jdug4AsVzu+awEQaBh9VKix08mrJsyZX/o2MTRm4S4CU0nm36R4PuXrolKIALi7tJQmprTVB5egTQiiozHXkCR6C+bGjh0xSdoWLuEsHHDSf7pq4gVweepbXWNmFYsx1zTStZT08gdnMILD/wTgPSaNu5ctJDEFl3QxwGQRYWR8dAkUuePp2n9CWo/WoxErUB5wzTCxg6/5F4gwSCQkP01XMOlgNNsQXp0M7Wf7ScsL5GCH8wjYnDv/cEud4gEocfszCWHIjtdSP5xzx2m7a3t1P/sTbIefwV5XPDhsVBFYARBwNJQR1v1IYz7jgIQNmEk6utG+3i3hNQ3QRBY/fO/MOxcLQDbB+Xx0LefAXzz9x8KAg+JRETJpF3m7zVfbMJ08ARZD76IWB545VNXERjtiSO0bF3H0Dnf8OkwHQjcVUTpY+cCeP7fUQPjz9PF+3mbWU9j0U4QCSQOnozdYqB63yrSx9+GKqr3qQ6zponyE6uwNtWTMGse4YOGBhVlsBv01G1bhrW8itjH56McmNPnsdxwmiw4t6yicd0J0u+fSPLtoxGLYcecNzyCbk24gluWvRL0sbqC4BRo23uW2mUHMNe0kXzbKBwjpiGJuDwdrrvD8PIqamOjaY6KIF6jI6VNw/EQaJKu4Rr6CodGh2j/RurXHCFqRCZp900gPD+4RdSlxq5ZvzsoCIJfzcJVk0ICkMZGEzVvJtWfv0fWgy8FFbaHrsW2gQiDBacTc8052muPYTx0AsHuIGzMUOKeeQB5drrfyS1UvTkUFiunF/7Ip3twVfyFXj+9yd8bDxxDv2UP2Y+92ivyAq7PKeHGm32ec1osNK1bSd6kBxFLpL3Sp4D/CElHDQz4RlW6ipgYW6rQVJ9CIlV4qpYA8mc+FfB7tJsNVJatR3vsEDGTbiT13keD6gMlCAL6oqPUr1uOevyIkERdBEHAdOA42qUriBqVzch3nkAe4yLIa2//o891ctunLwR1rJ4gEouIvS6f2OvyMZQ2Uvf5QVqW/I7YiQMQT5iGPCfjikkv+YtWXgn4Opd+X62wVtXh3L2Rlp1niJ82mGF/fghV2qXvFt3fuKoIDED49Ouw1TdxbtHfSb/rCWRRF+9LtBv0GMtK0NadxHTiDJJwNapRhS7SkpXW4405FL05Xv18Hd9YtdHzWAAWfONJdg0d6Hku0Py9tbKG1v99TsaCZ/tsVNcxWtW6azOK1AwMTZUooxMD0px4oyMZ6Sr9012qyf3Yu4u1uyQ6ffxtAb0vp91GVf1OWnduQp1fSNS464kaNT4o8mLXaandvARbXSMJCx9GMSCrz2N5xmxqwbh0CdZmHQNfn0fk0AsRgok7i4k0eZVM//4+HLKLd0tQ5yUy4JtzyHp6Go1fHqP+3Y+QquUk3TIS68BJiFXBLUCuwT++zqXfVxMEuwPTkSKsu7ZirnZFM0f/92lkUVdmp/K+4IokMN2lWkQiETEL5qFbu5WKf/+RqHk3EZ8zKaiJpSvYDXrMVRVoW0swF5dib2xBUZCLauhAoubNRJrQO1OvYFX9KouVV73Ii1kqofDvP8fh5733lL93aHQ0/e0DYh+6A2Vy38Pi3nqhyBHjaNu3g8T8iR7SEqhpXSDoyrAOXKkmh83q0cZ07GMkU4Z3GXnxJkNSeRitZYeoOvYlyuRUMh5/EcOZkzStX41EoehTyb4gCDRX7qL9sy8JnzqB+GceCLrCSLA7EO//isbF+0idP57Uu8ci9tKbhOlMvPGzlZ7HtUmRnBwRPGHqC2SRKtLunUDqPeNpP1RBw5qjaN7dStykgYhGTUY+IOuKicpczrhW+n11wN7ajvjoVhrXHkOREk3KvFHETh7o8/v+uuCKJDA9pVpEIhGRt0xDOayA9qVrKFu9CfWkMUSnjkCZku7qtNoLCIKAQ6/D0liPpaEWg+Yc1opqHFodipxMFANziFkwD0VORr80kwwUJrmM3905i+8sX8fKscN5+fkHu9y225I7u4Pmf36E+vrRxCWPCeqcvE37WnduInLYaJLybkAqD/MpVbaZ9T79jwJNLXVnZuf9F8Bht/hEewL1g3FHiUztDei01YjlClLuepCwrFwATw+ovpglWluaqF2/GMFkJvG1p5BnBi+0s1RUo/voU2TRYQz/68MoU6I7bfPmdz71/F8A5veyZLo/IBKLiBmbQ8zYHKxtBprWn6Dxo08RnAKJM4diHzwJafzVHxbvL1wr/b5yIdjtmI4V4ziwE11RLfHTBjP4V/OvilLoYHBFinh7K3a11tRj3H0Y09FT2FvbkaenIE2KRxIbhdIW4eqkKhIjOJ04bVYsCoOri2u7FntrO/amFkQSKbLURGQZKcgzU5FnpyNLTQraFTdYPPnlVr6xagNvzp3BwbwsDg/IQmazYVX0vc1A68crsDe1knnHUyF7fw6TibI3f8nQ276JPLzzJOQtzk0edmOnx13Be7uO3aA7ojciX2+0VR6n8uAKRFIZCTPnEl4wJOiIgOBw0Fi0Ce1XW4m85UYibprUa2LdEU6LFeemlTRtOEnWMzeS0IUteEybnn9842PO5CYw5nAldy5aiE15ebpwCoKAvriOxvUnaNl2mrDseKQjx6EaMwxJ+NcnVB4q3HLgGD9+62PeFYtdqePnFlyrnLpMIQgCtnO1iI7vpHnzKVTpsSTePJy4KQOvSNfcvuKqE/H2NtUiT0tGfs8cou+Zg0NvxFZdh72hGXu7FqOtEcFgA6cTxGJEcjliuRJZaiLKwQOQxEUjTYjzuVm6CZQkKvKSWmUv+t2/uP50GQA/XLqWfXmZzH/9haDIi2HPYczHT5P9+GshJWfao/tRDxiESCrz22m6oz1/oKkl7+160tP01Dup4366+jKqTn2FTdtO/PQ5RA4bHZLPxFRdSd1Xi5FEhpP8w5d6nWr0B3NxKdqPFhM+MJmRbz+BLNr/5B7boGHlw/9CBNQkRzJ3+atBH7s/IRKJiBicSsTgVHKem07bvjKaN5+kfulqIodlIB42FtXIwmt6mQBxrfT78oe9uRXp6d00byzCabaSMGMIQ//04NdClNtbXJEEJhhIwsOQDMqDQXl9HiNU1UJ9hcJq5dTCHyPxip59OXIQz770eFDjWmvqaVu0ioyHnkeiCm11gubwPrJG3R5wI8RALf+9twuU9HTXrRpAV19KVfF6bG0txE2dSeSIsZ2iI92V0nf1msNspn7faowHjxNz762ETRgZdCTHaTRhW7OM9v3l5L48k9iJA7rd3k1eADJqNd1ue7lBLJd6nH7tBgttu8/SvPUAdR8vJ3J4BqLCMahGDL4WmekG3aWOr+HSwd7ajrx0Ly3bijHVtBE3eSB5L88kYkg6IvE1/VdX+NoRmFAgFNVCfcXcvYf5+9ufeB4LwPcfuoNFN14X1LhOi5Xmf35E9Pw5KJNDa3hkbWnCbtARkZyLKsblSeBNMmxmPQ6blZSRM4MS8wZKejqSKJkynKSh09DWnqa6eCN2nYa4KTf5JS5udGdm2PE1V2n0MRo2LEc5tICUn78WkknWeKQI7aJlxIzPZeQ7TyBVdx95W7LgHx7yIgD3vf9M0OdwqSBVK0i4aQgJNw3xkJmWHYep/+RzwgcmE3t9PpassV+77tg94Uot/b4aYWtsQV62j9adZzBVtRJz3QDSF1xP1Oisr6Ugty+4RmD6gEvZA2R06TkEXA33HCIR+W/90m+VUW/R9tHnKHLSSci6PuixOsJQesaVPhKJ/ZKMlpL91B1dR/rYuQF5wfhDb/xkvCMugtNJW+Uxak5vRrDbiJ08g8iho3rUo3TXUdz7NWtrC3Wbl+JoaSPumQUhMaRz6AxYVixBf7qO/O/eStSIzB73ufOzvaQ26z2P33j+RrhKKnu8yYzDZKX9YAWte87S9tFfkceqiRmfiy17FIq8zKB1RtdwDX2F4HRirahGVnaI1t0l2NqNxF43gPQHrydqZJZPp/drCAzXCMwVAJnNxjeXf8Vv7p3LzxfczvTjxVTGx/Hoa0+GZBIy7D2C5WwlOU98MwRn2xnmmnPEqDuX6LpJR0fdS1/QGz8ZmTKchEHXU9Oyn7Y925CoI4i7YRbhAwsD1rj0ZGYoOJw0ntiIYft+ImffQMSsyUFXqAmCgHH/MbRLVhB/42BGvPU4EmUA5daCwLf+tdXzsCFOzfI7gy9bvxwhUck9aSbB4URXXEfbvlIMS5fR2qglamQWQu5QlEPykcZd0xRcQ//CoTdiLipBXHqU9gPlSKNUxE4cQO4rs4kYlIJIcmmLQK50XCMwlzmmHy7iv397H4DTacksv34M03793ZCNb29upe3jlWQseBZxEOLf7mBra0EaN6STeNcf6ehr+XSg+heLvpWa2l1oDu1DlZVLyp0LUGUGHxXxRvOGL9Ac3os0NYnkH70cktJfe5sW82efYqptY9BP7uxVX5P/Pvuu5/8CcNei/nXbvVwgkoiJHJJG5JA0sh6firVFT/vBctoPFtH4+VqkEQqiRmbhyBiCoiDvkgryr+HqgGCzYyk7h7z6GO0HKzBVtRA5LJ3IcblkPDzJr6XBNfQd1wjMZYy3/vY+cw4XeR7/ZNEqlodQdyM4nbT8ZzGRN09Fmdp/PVycFjO6+lIai7YDdCu6bTy1g7oj63HYLaSNurnzYOfhT8fSVeRFEJxoa0uoO7cLY2UZUSPGkvn0q8hjQ9s52NbeSt22z7Geq0Y9eSzR99wS9KQoCALyoi3U/mcbyXNHMPAH8xDLA//ZJjTpaItRU2e0kdSo5dG/PxLU+VzJkMeFkzhrGImzhiE4BYzljbQfqkRzYDdt7y9BkRRF5PAM7KmDUeTnILmmD7mGHiDY7VgralDUn0Bz9By6UzWoMuKQjcoi64mpRAxJ69Xv9Rp6h2uf7GUIqc3O8Zd+SpjN5nluT34W9333+ZAeR7d+BwgCiYUzQjpuR4gVCiKS85CHRfmQFb+kQxD5/u0CgURcrEYttc0H0Bzag1guJ3LEWJQpGUSNvS6gJpyBNu102qw0ntyIbv1OIm6aRPwz9wftpAtgb2rF8Okn2PVmhvzmXtR5ib3aP7ekgQ9eeB+zTMw7j05i2bwxl63fy8WGSCxCnZeEOi+JtPnjcdodGEoa0B6vwnJoNw0ffoY0QknEkHQcKQOR52VeFr5P13Bp4TSasJRVoWg6he5ENbrTdahSYxAPzyBl3igKfjAPacS1kv6LhWsE5jJEyXM/wH2bFIBf3jOHf8+ZFtJj2Oqb0K7ZTNYTr/b7TVmemIJW2kpWABVCiYWTPHb/3aGriIvTbqO9qoiG2gOYzpUTMXg4KXc/hDItk7Zdm2nevBaRVOLRr3RHUrqrNAK3ydoJGjauQJ6ZSvKPXwpJ1YvgdCI5uJ7Gj3eTdu94Uu8e16dc+fsvvI8IUNmcTNlTxqf3BlepdjVDLJV4/GbS7p3gitBUNqM7WY2u6DTtGzdjazOgzk8mYlAKlth85NnpSOKir7U5uEohOBzYahuwllUhbSxBX1yHuV5D+IAk5EPSSLl7HAVD0pCGXyMslwrXCMxliH352UwsqcAJDHzrl9hCsJr3huB00vreZ0TOnYE8Nj6osQKJUkQUDqdh9WfIW+zED5zQrbYl0FJobzgddtoqjlNbsgVrazOq1AwiR4wl9e6HfXQ9/iqH8FoNjAAAJ0xJREFUuiMp3VUaWRrrqd+yDEe7lrhH70JZmN+rc+4K1up69B9/glghZdibD6JK6xshWnPHn3xI8It/7LqtxDV0hkgsQp2TgDongeS5owCwaU3oi+vQn67DcWg3TZ/WI9idhOcnEZaXiCU6D3mGy+X7WrXTlQXBZneRlXO1yFtLMZxtwFDWhCIhgvCCFNQFKSTPHUlYbuK1EufLCNcIzCWCIAjYm1qxVdcjatdwZska/jNrEn+5cw5Pv/Qo3/nsS3748J39Uupq2L4fwWEncWDwpeA9RSkAwnJck3vNwTUgEpEyrPcNDzvCbjagqTlNc2sRhrPFiBVK7Jo2YqfcRMKMW/zu469yqDuS4m97h9FA/YG1GPcfJWruDMKnTcRpMqP9cmvArS38QbDZEXZ8QfOqw2Q+NoWkOSP6bGD12H+2EmW8kH78weuBddi+hu4hi1QRMz6XmPG5nuesLTr0JQ0YzjYiFB2kbXUj1hYDqoxYwrLjscVkIUtNQpaaiCQ2+loK6hJDcDqxN7dhq20gTF+OsaIJQ1kTlrp2FCnRhA9IRJmXRNzUAtR5ST16K13DpcUV2QvpSoXTaMJ0rBhR6TE0hysRScRMTIpg68laABzArT96kVPZGd0PFAQcOgN1P3qDjAefQ5mc1qcxvKMuQEA6EWtzI+fe/yfK5DRyR96JIrx3kQW72YC+qZJWUxnG8rNYmhqQRsUQPXoCkcNGg1gc0Hn0FYLdTuPZbWi/2EzY2OFE3T7TQ1YsKzfQsGI9SbfPRDHvpl6PbSmpQPvRp6jSY8l5aSaK+CDEo04nO2/+g+dhSU48j/3rib6Pdw29hsNkxVjRjLGiyfW3sgXTuRbsOjPKtBhUGTGo0mIxqjKQJcYjTYpDHK6+looKEQRBwGkwYm9swd7QjMp0DlN1K6aqNsw1rUijwgjLjCMsO56w7ATCchMIy4y7Jra9THHV9UK6kuA0mTEePonz+AF0J6qJHJZOzIQBZD46mTfe3sy0nSWebUXA6cj+rXzQLP+SsPEj+0xeoHPUpTs/FDfk8Ynkvvx9Wrdv5OSqP6JMzSAsJ59okpCFRSKWusSlTrsVu8WA1aBBJ2rB2tyApb4Wh9GAMi0TVWYOCbNuw1RVQfPGNSA4kUZEes4l1BAEAf3pkzRuXok0IZbEbz+DPC3ZZ5vbIsMZCJyOimB9L8Z2Gk3Yvvqctt1nyVk4g7gpBUGf75o737xw7nCNvFwCSFRyj57GGw6j5fxE2oqpuhVx2XEMO9ow17bjtDtQpkSjTIpCkRyFSZ6CNDba1YstNhpxhPpa9OY83ATF0arB3tqOo6UdlbUWc70GS70Gc307OAWUqTEo02IgPYbYiQNQzY9FlRH3tWqEeLXjohIYkUj0e+A2wAqUAo8LgtB+Mc/hYkCw2zGdOINwdA/tB8qJHJ5BwvRCCl6/DUmYAondwabb/ojUcSH6dTorjsIGDWlREfTXOsxaVYvxcBG5z38/qHG6S7t0B7FMTvz0OcROno7h7GlM58qoay7FrtfhMJtxWs1IwyOQhkcijYhCFhNLxNDRxM+4FXlcgs8NXJ6QjEgs7vU59Abmmirqt63AqTMQ88A8VMN8Ccab//qYWUeK0NjsfAj84n/L+csnq1g3spBXnl3Q7djGgyfQLl5OzLhcRr79REgqFxRmG6VZCYwsrkUA7vng2aDHvIbQQRKmIHxgCuEDUzq9ZteZMde3uybgBg1CQy3WI8WYmrRYmvQ4jBZkMWrkceHIY9XIY8ORxYShFxKRRIQjjlQjCVcjDlcjVquuOLIjCAKC2YJTb8ShM+DU6XHo9Di1BlTORqytBmyteqwtrn8iqQRFQgTyxEgUiZFIk6KIH5iMIjkaZUoU0kjVtYjWFQ6H0ULc4W3dbnOxIzDrge8LgmAXiUS/Bb4PhM6V7RJCEASs5dWITuyieUsxqoxYEqYXkvvyLGSRvo0Rf/2TZT7k5c9PT+MvChkxx871q/ivffEaom6bEXSjxp5caKF7ca9YriCicDgRhRe64Lbu3ETT+tVETboxoEhKIOfQV1jbWmjY8wWW4lKibp+JerL/nkh/vGMWQ6rqWNzQzA8FAatIxPy4GN64c3aXY9tb2zEvW4KpupX8791G1PDQpAtlJgufPvoO1RmxrL9xML/65hzs10LiVwykEUrCI5IJz0/2+7rTandN3q16rC0GbG0GbK0GZO2l2M4asWiM2DQm7FoTdoMFiUqONFyJNEKBRK1AGub6K1HJEatkGCxRiBRyRHIZIpkMkUzq+ieVIpJKQCJxkSCxCMRiEIlcCyuRCAQBAcApgNOB4HCC04lgdyA4HGCzuzRdNhtOqw3BaiNCocFhtuIwuv9ZsOstOAwWbDozDr0ZkUyCLEqFNFKFLCoMWXQYyugwZAkRhA9MdpG3uHDk8RHXoihXMRwmK2Gb1rP3f2fJnpDQ7bYX9Q4nCMI6r4d7gHsu5vH7A/aWNqSndtG84QSCw0nCTUMY/peH/DouSs127Eop3/nZnWy97c+IHU5mfv4qJoWUuif/TeRD9/XbeZpPncXe3EpC7uR+O4Y3AhH3eqOvUZ1Qwm7Q03hkHYZdh4iYcT2xj9yFWNm1iK8yKZ4/3jGTH7/1MUgkPOF08vM7ZnIusbNBnuB0Ij20gdqPdpFy++heG9J1C0Fg0+1vIgYS2o2su2HQNfJylUEsl7pSTAE4uQpOAbveRQrcJMFusLiIg8lFICKkehxmG06DDafFjtNmx2l14LQ5XETE7kRwOhEcAoLT6cpH4q2XFIFYhEgiPv9PhFgqQSSVIJJJEMulSBRS11+liyQpIiORhMldUegwOVK1Akm4Emm4Amm48poG5WsOu8GCatN6jnxUSta4eB7892QS8iIpWlvd5T6X8op5Avj0Eh6/z3CazBgPHsd+aB/GskbiphaQ99ocIgpT/YYtJQ4nG+b9CZnNwazlr2BUK5iz5EWMagWIRDSuPYY8PgJlQa6fowUPQRDQrFhP/KTZF628s7eEpD8jKj3BabHQeGozug07CBs3gpRfvBawC+ut+4+hVioQbpuBetVGbtl/nDVjh/tsY62oRvfJYiRhcob9aQGqjNA6AG+85Q94Jwx+9c2uHYyv4eqHSCxCFqnqFPm9hmu4HGFrNyJbv57jS8rJm5TEQ/+ZTHxuZED7hpzAiESiDYC/OOgPBEFYcX6bHwB24KNuxnkGeAZAEhcd6tPsNTy6lmN7ad9fRuSITFLmjSJmQl63K4cxByt48/uLPbqWf73yIQ//+0mM582PHCYrVR/sIOa5R/vt3C1nynFodK5qnX5Cx5RRKAlJoI64vYXTbqe5dAeaNZtRFuSS9PoLyJJ654vzr5tv4CcLbqc5KoLlE0eR0qa5ML7JjGPDSlq2nCLrqRtImDk05Hn5OasOofRKRz755wXX3Hav4Rqu4bKHua4d0ZoNnFxbxeBZaTz24Q3EZPTu/h5yAiMIQrd1pCKR6FFgLjBD6KaGWxCEt4G3wVVGHdKTDBCC04nlTDmiE3to2VmCKjOOhOmDyX1pZkCrm+/8cS23f3n8wnjAU3/z7UVTvWgPkSMyUeRmhvr0PdB+tY2I2VP7VdjX25TRpRxbcDhortqLZuUGZOnJJL76BPLMwJsjeuNYzgUNS3NUBM1REQiCgOnAcbRLVxA9JoeR7zyBLCos6PPuCLnZxg//usHz+NCARHa1m7CsPITTbEMklSCLDkOV7vIkuRaiv4ZruIZLDd2pWmxfbKZyXxMj78rmmeU3ER7ftyKGi12FdDMu0e4NgiAYL+axA4XgdGIpqUBcvI+WHWeQx6iJv3Eww//+CMqkqIDGENsdfHn3X1CbLpiJnc6J54m3HvcxpjNVtdCw5iiJP34t5O/DoTNg2HkAxaBcrKXnyLi1/yI8ELyGpbsoS6j0MYLTifb4IZp3foUkNpr4Zx9AMSC703YRRhPLfvUP7np9Ibqw3oXhbQ3NmJYtxdKkY+Dr84gc2k9NMgWBdfP+dOEhME2rJXHjLqKTw5CHSXAYBfRlZuo+09FebSB1aAwDpiTTNuL6a11xr+EaruGiQXA4adlxBsPqHeibzIx7MI9bfzoKhTo4l/mLvST7G6AA1p8Ppe8RBOG5i3wOnSDY7ZiLSxGfOUjrrrPIYtTETy1g6B8eQJXeeyv3UUfPIfKKGf3v7rG89axv5EAQBMr+up70BdfhjAks39cbGHYeoH3JGhSD8lBfNwqxvH/TCsGmjLqLsgQ7tuB0ojt5hKZdXyFRq4l95C6Ugwd0uf30Y8UMrGvkxuOnWTlhZEDHcFptsHMNTSsPk3bveFLuGttvluOWJh3DP1nt0yrgm4un8VJBTNf7GGyc299MybZ6zvz3PaLT1Ay5NYP2sVP7JTp0DddwDddgbTOg3rGZQ4vLiU4LY8IjAxg4LQWxNDTZgK+tE69DZ8B84jSUHKX9YDmqjDjiJuUTO2kgqrSuJ4Lu8NS7W9l53QBODU6j8FQNf/n2p8z9dCFmdefwWNOGk9R+tp/Y777aL8Jah86Afsd+dBt2kHH/syiTA0uRhFpvEuh4/aFzERwOF3HZvQ6xOoyoeTehLMzvUofi4+siCDwkEhElk/bo62I6egrtks9R5yWS89x0FImhJ6QApupWHJ+vo3RjNQclEkrmpJNksbP6uyOwhwW+knHanZTvbeLE6irObq8na2w84mkTiR6Xe63PyzVcwzUEBUEQ0BXVIqzfRun2egpmpDLm/lySB0f3abxfjVj+9XPi7ZgGEBwOrBXVyKuP0ra/HFNlM1EjMomZmEfO89ORx/Z90hQ5BTbPfQOZ3cnta45y29KXKRqcxk2r/aeGbFoTFf/eQuzzj/dbVZAkQo1yYA6GnQcDJi/gGwmJHDk+aFIRqH4llKJfwW6nuXof2jWbkURFEPPAvG6Jixu99XWxN7ViWvEZpnMt5L40k5ixOSE5/44wN2iwL1lLyfZ6Jt6TzWGDEzFOCj4t59Nfju4VeQEQS8XkTUoib1ISFr2NU+tqOLZ8K1V/WcOQWzKwTJ6COqd7/4VruIZruAZv2PVmovdt4fBnFTgsDkbdk8Os7w1HFdV/0f+rlsBMO1KEvq6RtM8Xs99oRXu8CkVCJNFjssl8ZDKRw9JDImqctuUUv/zVKk+VUazWDILQbRPGyn9vIW5KAfLc/ut5BGA6VkzYyEK/r3UV8fDWm4RCPHsx/V2cVivN/9/enUdHXZ+LH39/kkkyyUySyR6SkA0ChARC2AQR2RRxAfe61NZaq15bve2tta32V06vPb2etletbW3VVu310tar1gWQTURQAUUglC0hJCEh+55MZpJMZvn8/mARaiCBZJgZ8rzO4cB8+Wa+T/iSmWc+y/NUbse6bgshyfHE3n0zYeOzB73zZ7B1XTx9TtS2tTS9u5uUm6YzfjhrupzC1dUL76yheGUVU7+SzYOrFvPk/NOnjvZdO7TF32HmEKbclMmUmzJprexi36qjFC9/jYiYUCYtS6dj2uWExpxfg0ohxMVNa411XzVq81YOb2kge3YiVzw6icwZCefdjPZcXDQJjLuzi77KGq58dzWN1a38j0fzOnDVBwf5TUgwYTOy+e3PbhzWa/74qbUsXf/FLiO3gmveeOisyYt1fw0dO4+Q+LNHhzWW/jgOVZAwq//RgzMlJ6eOhJyafJzvFM+FqO/i7rbTXPoxXZu2EZadTvyDdxF2nsnh2eq6aK3pKTpI15vvYh6XTMEf7vbKdJHH5SZyy/tsfbGEcQtTuO+tY6v05z5/gFDXF+f9cu1i9DC+SMRlRjL/4Twu//ZEqj5vZt+qoxz+44ukFcQSdNkMYmePlQqoQgh6Gzsxb/+IvSuPYggLYsqNmVzxg0lExFzY7t0BlcBorfF0duFsbsXV0IzRdpTuyhbsFU1opxtTTjK7J6XxiN3BrHYbv3BrcoODmDvKwo/unz+ssay78Vki7Y6TjwfT9dfjdFP+7Hqibr2eoPCh9745G+3x0He0DuPN/X9CH8zIyInkw2W30fDO37EfLga80zTxfDjb22g+8CH2bbsJL5xI0qP3E5KSNKTnPFNdF2ddI91vv0Vfaxdjvr8ES2HGcHwLX9Kxu5KmF9diTjRy55/mkphzLEGKaLKz5I+lJ887OtFCV4p3RkaCghVZsxLJmpVIX7eL0k117F/zOXueW8/YuUm4L5mJZXoWQSGyXkaIkcJld9D68SGcH+2kucxK7lWp3PDLGYzKs/is71RAJDCuxiaafvokfS02gsJDMaZYCE+NwZAeR/LSQkxjEglNiDz5j3hkyiEe/q+VhBuC+KZH87uvX0ZtyvktzO1PkNtDU5wZpTWm7j6ev+cyVtxx6YBfV//2TsISogifNmnYYjkTd2sHQaZwgo2nbwM+dSRlsImIdc8O7IeLMeXk+rTU/wk91ZW07N1M78EyTHNnkPzEf2CIGdwW94H8a12XphAD7tWv07zpIGl3zCZ5WaFXFro6mqzY/rKSxuIOFv1gEuMWjDrtReHHV37RhUMDL/x9wbDH0J/QCAP516WTf1069lYHxe/XcvDtzVQ9vYqc+aNwzpxJdGGGLP4V4iLk6XPRvqMCtX0HR7Y3kTEjgYI7shl7eTKGUN//zAdEAhMabyb3P28adBOvRVtKMBtDiLrrUswrtrHwoxI2Xz5+wK8byEPPf8CSjQe57o2H+Pqf7yWntI6jaXE4IgYeNnM0Wal9fQcJjz18QbJVV3snwbGWLx0faF1Lf1NFp47WDGcl3LNd819pl4uu4r20Fm3BbbUTecWlxN59C0Hh3hmy1B4PIfs/pPrVrcTMGsOUF7/plbUgHqcb4/q1FL1axvQ7sln2i+mEGE9/YUg90M6JIxr46e7rhz2OwTDFhTH99mym356NtaGb4g21lPzfB1T+ykbOvFH0TZ+OZWqmFMwTIoB5nG46dlcSsmMHhzc3kDQhmolXp3H18kLCo/xrCjkgtlGbxyXrgucGX4htwqF6GhOjaI8xEdNuJ6nZSkk/LewHS3k0G5c9g7Hv2AKETZfl8NPl57ae5tDP3yU8I46gBRfmzadnXwld739Cxq0PnnZ8oGThRFfohCuvu2BTRWe7psvaSXPZVuxbPsOQnEDkFZcRPiXXq1WFe0vKsf3jHQwRoWR+exHmsUObljqTzqIq6v/4HrHpZq780WRi0r6cIAX3ufnKo59RdmkS814p5bnXFtJjubDzzAOxNnRT8kEdhzbW0XTYSvalibinTsUyMxuDyb9iFUJ8mafPRceuI4Ts3MnhLQ3EZ0eSuziN3MWpmBO8u9xhICNuG3XJ+C+SlfYYE+1D+OQ8bWcFzz7+JqeOmVSdY3G7zqIqbKUNhN/5tfOO41wpgwHtcn/p+ECLar29a2igER44NvrRfaSM1oOf0FtcjmlmAQnf/xahaf212Bo+zsYWHKvfwV7eRMZ984ibO94ro2V9rTa6X11J7T/buPKHkxi3oP9t7qG2PpbPeQ8F5G9u5PevLfC75AUgKjmCmV8dy8yvjsXW2svhzfWUfriDPb9dS+qkWHLmJ9MycTbG5OGZ5hNCDJ3L1kv75xUE7yriyPYmksZHM35RCvMfziMyKTAagV6UCcxw+ckvV3PNBwdPPnYGB7Hs7w9itQw+IdJuD0ee30TkTUsJCh1a2eRzERwdifuUxoKD5e1dQ/1NYZ1cLGztpGHvBuwf70CFhWGedwlx99zq9QXPHns37i3v0fz+AVJunsG4x5d6ZRpEuz1EbtnAxy+UMOXGTK5ZXkhoxJmv89i8904mzh4F9edZCOpCMscZKbw5i8Kbs+jrdlGxrZHDWxoof+EVImLDGDs3ma78aUROTJV1M0JcYL31HcQd+JTDW+qp299O+tQ4shemcNVjBZhi/e/D0UAkgTmD5Pp2rj4leSnLiOPuP917zs/TuG4vhkgj4dPyhzO8ARmS4nFbbbi77QRH+E8dj38dbfE4ndhLD9B2aAeOsioipk8i7v47CM0a7fW1QtrlwrBnE3V/207cnBym/Mk761wAbKX1NP1hFSHhwdz10lwSxpx9+/XS5TtO2zL9iy1XeyUubwqNMDDhilQmXJGKx62pP9BO2UcNtL60jvIaOxkzE3Dm52OZnjXoPmNCiMHzON107a/BfGAXZZ800tPRx9i5SUy7LZtbfpN41g9QgSCwo/cGtxuUomFUDB/NHsPl28v5xSNLWHvV5HN/qp4+qv93K3Hf+eYF32amgoMx5uXQWr+bxDFzL+i1z8ZgMhMzez49VRU0HNlJz679hIwehWnONOL/7asEhYXi7rLTtf4jTHOmExw5/AmF1pqe3QewvbMKY0oMeb+6zWuVZ112B+7XVlG+sZYF38tj0tL0Af8vJJS0Mevd2pOPK/Mt9Eb7dh56qIKCFamTY0mdHMu8hyZia+3lyLYmKrYdpOTVzRijQsmalYhtQgHRU9Jl7YwQ56mntp2OXZUY9u/j6M4WYjMiiZmbxNInpjIqL+aCFJi7UC7KRbzn69Fn1nHthn28ef1UPpk1hj1TMof0fNUrttJT3UbEXd8YlvjOVe+hClpffoPsB35IUIhvV49rj4ee6ko6qovo3rmPoEgTpkumEHHJFAz/slvKum4LHW+swXLrNUQtmTescTjKquhe+S7unj4yvzUfi5fK/2utadlcTP2fNzL28mQWfDdv0CW1f17w9slqu+4gWF40vAUY/Y32aBoPdXLk0yYqP22mdm8b8dmRZMxMoHNsAZF5qVJAT4gz6Gu3Y/3nUSIO7aPy0yZcfR6yZiWQfWkSWbMTL3hxueE24hbxnqvwbgerv/LcyV1Gd7y1iz5D8JASGKe1h/p3dpPw2MPDFOW5M47PJix7NHUf/YPUhbcP+Ml/uBsqepxOuo8cprN2H917DhIcaSJi2iQSH/nWWQvOmeZMP+334eBsaMaxdiW2knrSv3EZCYvyUMHe2cnUU9NG+4vv0t3m4KanZpJWEDfwFx03e0XZaa0Clu++wRsh+hUVpEjOtZCca2H2PeNwOdzU7m2jckcz1jc2cfjnHSSOiyZ9Wjwd2ZOJzEuVERoxYjk7u7HuqyGybB9VO5qxNvYwujCO+FkJzLhzDPFjIn1WWO5CG/EjMIW7K/ndj18/bZfRU99eyFs3DO3Ns+qlLbi6egm7+cxdjOHLTSeHm6fHQdOvXyA0M5VRc28hyHDmnHWoW6i11vS1NNFdUYq1thhH6RFCR6cQPiWX8MI8QpLih/KtnBd3hxXXptW0flJKyi0zGXXDVILDvLOY2u1wErJ6Lbv+r4JL7x3HjDvHnFPbeEOPi3kvHMRtNDDvxUP89q2FtGfK2hBnj4uavW1U72rl6K4W6g+0E5NuZvSUOLqy84jMSz2tkKUQFxNHkxXrgRoiyw9wdFcLXY09pBbEkTE9nowZ8STnWs7pdSbQyAjMGSx/ciVXfVhy8rHDEMxNKx6gYwidqeHY6Evjmn+S+P++N+C5C/eWMK6+iQX7DrHykilDum5/gsLDSHz0flpffp3Kl/+bxHlLMeX0X0flXLdQa7cbR1MDPTWV2FrKcRyqgCCFMTcH0+ypxN17G8HmiGH9fgbL092D3rqOxvf2kHjVJApf+hYhUd7bGti+o4L659eSNCGae19fSNR5bENcPnsVwcc/T/x6zWI6Uv1n8bUvhYQbyLokkaxLEgFwOz00FHdQXdRK16c7KX5hw7E1NgXH1tg0pU3GNDaJYOOF2/UnxHDwON3Yy5uwFddhrCihZk8b7j43aVPiiJkax+TrM0ieEH1RJyznYkSPwPzwmXVcv3YvANWjLNz+P/cPy/NW/+9WHE1WjF+564znPPvC31i85yCdfU5WAHcB0aEhbJgyke8+cPZRm/NxohFh58qN6N5eIqZPJipuPMaUtAF3KWmXC6e1E2d7y7ERlp56+o7W4axtIDg2mrDsDMJyMgkbn40hIdann4Q9jj6Cdm2k7s0dxM4ay+ivzfFKw8UTHE1WbK+spKm0k8WPFTBmzvkVvfvZ1LcJOV62pz05nP9ev2QYo7y4aa3pqLFTu7ed2r1t1O1rp7ncSmyGmZQ8C9bR4zGPSyYiM0H6Nwm/oT2a3vp2bIcasFQXU7e/nabSTixpJlInx5JWEEtqQSyxGeYRPbooIzCnmFJUybJ1+3jisaX86j+WMK2oiufum8dHcycMy/O7HU4aVhUR/4MHz3re0zcsJq+6njcbmnlca1xKcXNcDE/d2H/36KFSShExNY/wwon0VdXSU3SA5h0b6KuuAxWEwRKJCjeijk8xaacLT08vHpsdT3cvwdFmDAlxhCQnEJKaRMTMAkLTU7xeo2WwtMuFYd+H1P9tO1F5aeQ/dScR6YNfe3KuPE434e+vo+gvh5l2ezbXPzkdQ9j5vTne9cDHJ5MXgL895ft+U4FEKUXMaDMxo83kX3usl5Wrz01jSSf1B9pxHyyhbvV2Omq7ic+KJDk3ms6UcZjGJGLKTpAFwsLrtNtDT2079vJGYutKaDjYQUNJJ2FmA6PyYjDnxTD/4YkkT7QQZpKRw8EaUQnMyw/+hfHlTQB8NjWT9VdN4rZXHxjWa7RsOoh5fDIhoxLPet7339lAenMrN2rNJ8CNWpPR3Mojb6/3ygjMCUopwjLTCMtMA453+LbZcXd24enphePVe1WIAWU0EhxpIijS5NXS/UOh3W5CD31MzYqthI+OI/eJmzGP827F3s6iKhpeWIMlJYJvrJhHzOjzn3IMsTnJ/bTl5ON9C0dRl39ulZ7FlxlCg09u2z7B2eOisbSTxpJOKCml8cPPOVTehTnRSGJONInjomiKH09EVgLGURavLfIWFzeXrZfuyhbsFc1E1x+mqbST5jIrptgwkiZYMOZamHXPOJJzLQFZPM6fjIgExmTr5d07/0B47xeVwfIP1rL+quHtCq21pmFlERHLrhvw3KdvWMyivSWsdLlZA8wDHjQYvDYCcyZKKYIjzQRHntubsLvLjn3rTq/VahmI9njo3vFP7GvWExpvJudH1xGVn+bVazpauuh5dRW1e9u44tEvd4w+H8vnrD75Z5dB8dozs4YapjiDkHADaQVxp+0K87g8tFbZaCq10lzWieejzzjyshVbq4PYDDMJYyKJy4qkMXYc4elxGEdZpFmlAMDV1Uv30VZ6jrYS11JGS7mV5jIrDpuL+DGRJOZEkZATTf61o0kcF40xUkZWhttF/5M4rqSOV/59xWnHHv3PG9k2O2fYr2U/3IDL7sA4ceDnrkqK5/fXLuCet9bjDAri6x4Pv792IUcTvTftMZzsW3fS8cYagGGv1XI22uOh+/O9dK9djyEynDH/vpjowgyvXtPjdBOxcR1Frxym8NYsrv1ZISHhQ//RueqZ/Zz6Gf/JjYFXbTfQBRmCSBgTdbwy8hcJcF+3i5aKLloqrLSUd+E58BlHj9jorO8mKimc2EwzselmWmKyCE+JwZgaQ1hilIzaXGTcDieO+k56atvprW0jpq2S1kobrZU2XA43cZlm4rMjMWVHkTE9m4SxUUSnRFxUxeL82UWdwHzj1U+4b8W2k4+dwYplf/8OVot3dsY0vX+AxCvzBz3dMqmqlghjGHrpIiJWfUB+Ve3AX+QnvFGr5WxOJi7rNhBsCiPrwUVET8v0+uK2jt2VNL6wBkuqibtfnUdsxtDr45ygFbQnhmJp6uMvv7uE3gAvOHUxCY0wkJIfQ0p+zGnH3U4P7TV22qpstFXZcFaV0b7DTk21DXuLg6jkcKJTI7CkmmiLSicsOQpjUjTGtFiv7oIT56+v3U5vTRu9jVZGdVXQWWunvdZOR7Wd7o4+olMiiE03k5RuIibXwsQlo4nLNGNONI7oxbX+ICB2ISmlmoEqX8cx3MwQ4YA+J7hCwBAGoTbo9vJl44GWAc8SF4LcC/8h98J/yL3wH/5wLzK01v32egmIBEYMH6XUzjNtSRMXltwL/yH3wn/IvfAf/n4vZMJWCCGEEAFHEhghhBBCBBxJYEaeF30dgDhJ7oX/kHvhP+Re+A+/vheyBkYIIYQQAUdGYIQQQggRcCSBEUIIIUTAkQRmBFJK/VopVaKU2quUelspZfF1TCOJUmqJUuqQUqpMKfVjX8czkimlRiulPlRKFSulDiilvuvrmEYypVSwUqpIKbV64LOFtyilLEqpN4+/TxQrpWb7Oqb+SAIzMr0P5GutJwOlwGM+jmfEUEoFA88BVwMTgTuUUhN9G9WI5gIe0VrnArOA78j98KnvAsW+DkLwLLBOaz0BKMBP74kkMCOQ1nqD1vpEZ8tPObUJjPC2mUCZ1rpCa90HvAZc7+OYRiytdb3WevfxP3dx7IU61bdRjUxKqTTgWuDPvo5lJFNKRQGXAy8BaK37tNYdPg3qDCSBEd8E1vo6iBEkFag+5XEN8obpF5RSmUAh8JmPQxmpfgP8EPD4OI6RLhtoBl45Pp33Z6WUyddB9UcSmIuUUmqjUmp/P7+uP+Wcn3BsCP2vvot0xOmv+5vUMvAxpZQZ+AfwPa211dfxjDRKqeuAJq31Ll/HIjAAU4E/aq0LATvgl2v1Lupu1COZ1vqKs/29Uupu4DpgkZZiQBdSDTD6lMdpQJ2PYhGAUiqEY8nLX7XWb/k6nhFqDrBMKXUNYASilFIrtNZ3+TiukagGqNFanxiJfBM/TWBkBGYEUkotAX4ELNNae7v7tTjd50COUipLKRUK3A6s9HFMI5ZSSnFsrr9Ya/20r+MZqbTWj2mt07TWmRz7mdgkyYtvaK0bgGql1PjjhxYBB30Y0hnJCMzI9HsgDHj/2Os3n2qt/823IY0MWmuXUuohYD0QDLystT7g47BGsjnA14B9Sqk9x489rrVe47uQhPC5h4G/Hv+QVQHc4+N4+iWtBIQQQggRcGQKSQghhBABRxIYIYQQQgQcSWCEEEIIEXAkgRFCCCFEwJEERgghhBABRxIYIYQQQgQcSWCEEH5BKXWrUsqhlMo45dizSqlypVSSL2MTQvgfqQMjhPALx6vifg4Uaa3vU0r9gGPN/eZorQ/7NjohhL+RSrxCCL+gtdZKqceB95RS5cBPgIUnkhel1EpgLvCB1voWH4YqhPADMgIjhPArSqltwExgqdZ67SnHFwBm4G5JYIQQsgZGCOE3lFILgQJAAY2n/p3W+kOgyxdxCSH8jyQwQgi/oJQqAN7iWCO5d4AnfRqQEMKvyRoYIYTPHd95tAZ4Wmv9slJqB7BXKTVfa73Zt9EJIfyRjMAIIXxKKRULrANWa62fANBa7wfeQEZhhBBnICMwQgif0lq3Abn9HL/NB+EIIQKE7EISQgQEpdRGji3wNQFtwK1a6+2+jUoI4SuSwAghhBAi4MgaGCGEEEIEHElghBBCCBFwJIERQgghRMCRBEYIIYQQAUcSGCGEEEIEHElghBBCCBFwJIERQgghRMCRBEYIIYQQAUcSGCGEEEIEnP8PdOg4eh56f+MAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–18\n", "\n", "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": 106, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–19\n", "\n", "from scipy.stats import norm\n", "\n", "x_val = 2.5\n", "std_val = 1.3\n", "x_range = [-6, 4]\n", "x_proba_range = [-2, 2]\n", "stds_range = [1, 2]\n", "\n", "xs = np.linspace(x_range[0], x_range[1], 501)\n", "stds = np.linspace(stds_range[0], stds_range[1], 501)\n", "Xs, Stds = np.meshgrid(xs, stds)\n", "Z = 2 * norm.pdf(Xs - 1.0, 0, Stds) + norm.pdf(Xs + 4.0, 0, Stds)\n", "Z = Z / Z.sum(axis=1)[:, np.newaxis] / (xs[1] - xs[0])\n", "\n", "x_example_idx = (xs >= x_val).argmax() # index of the first value >= x_val\n", "max_idx = Z[:, x_example_idx].argmax()\n", "max_val = Z[:, x_example_idx].max()\n", "s_example_idx = (stds >= std_val).argmax()\n", "x_range_min_idx = (xs >= x_proba_range[0]).argmax()\n", "x_range_max_idx = (xs >= x_proba_range[1]).argmax()\n", "log_max_idx = np.log(Z[:, x_example_idx]).argmax()\n", "log_max_val = np.log(Z[:, x_example_idx]).max()\n", "\n", "plt.figure(figsize=(8, 4.5))\n", "\n", "plt.subplot(2, 2, 1)\n", "plt.contourf(Xs, Stds, Z, cmap=\"GnBu\")\n", "plt.plot([-6, 4], [std_val, std_val], \"k-\", linewidth=2)\n", "plt.plot([x_val, x_val], [1, 2], \"b-\", linewidth=2)\n", "plt.ylabel(r\"$\\theta$\", rotation=0, labelpad=10)\n", "plt.title(r\"Model $f(x; \\theta)$\")\n", "\n", "plt.subplot(2, 2, 2)\n", "plt.plot(stds, Z[:, x_example_idx], \"b-\")\n", "plt.plot(stds[max_idx], max_val, \"r.\")\n", "plt.plot([stds[max_idx], stds[max_idx]], [0, max_val], \"r:\")\n", "plt.plot([0, stds[max_idx]], [max_val, max_val], \"r:\")\n", "plt.text(stds[max_idx]+ 0.01, 0.081, r\"$\\hat{\\theta}$\")\n", "plt.text(stds[max_idx]+ 0.01, max_val - 0.006, r\"$Max$\")\n", "plt.text(1.01, max_val - 0.008, r\"$\\hat{\\mathcal{L}}$\")\n", "plt.ylabel(r\"$\\mathcal{L}$\", rotation=0, labelpad=10)\n", "plt.title(fr\"$\\mathcal{{L}}(\\theta|x={x_val}) = f(x={x_val}; \\theta)$\")\n", "plt.grid()\n", "plt.axis([1, 2, 0.08, 0.12])\n", "\n", "plt.subplot(2, 2, 3)\n", "plt.plot(xs, Z[s_example_idx], \"k-\")\n", "plt.fill_between(xs[x_range_min_idx:x_range_max_idx+1],\n", " Z[s_example_idx, x_range_min_idx:x_range_max_idx+1], alpha=0.2)\n", "plt.xlabel(r\"$x$\")\n", "plt.ylabel(\"PDF\")\n", "plt.title(fr\"PDF $f(x; \\theta={std_val})$\")\n", "plt.grid()\n", "plt.axis([-6, 4, 0, 0.25])\n", "\n", "plt.subplot(2, 2, 4)\n", "plt.plot(stds, np.log(Z[:, x_example_idx]), \"b-\")\n", "plt.plot(stds[log_max_idx], log_max_val, \"r.\")\n", "plt.plot([stds[log_max_idx], stds[log_max_idx]], [-5, log_max_val], \"r:\")\n", "plt.plot([0, stds[log_max_idx]], [log_max_val, log_max_val], \"r:\")\n", "plt.text(stds[log_max_idx]+ 0.01, log_max_val - 0.06, r\"$Max$\")\n", "plt.text(stds[log_max_idx]+ 0.01, -2.49, r\"$\\hat{\\theta}$\")\n", "plt.text(1.01, log_max_val - 0.08, r\"$\\log \\, \\hat{\\mathcal{L}}$\")\n", "plt.xlabel(r\"$\\theta$\")\n", "plt.ylabel(r\"$\\log\\mathcal{L}$\", rotation=0, labelpad=10)\n", "plt.title(fr\"$\\log \\, \\mathcal{{L}}(\\theta|x={x_val})$\")\n", "plt.grid()\n", "plt.axis([1, 2, -2.5, -2.1])\n", "\n", "save_fig(\"likelihood_function_plot\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8189.747000497186" ] }, "execution_count": 107, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gm.bic(X)" ] }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8102.521720382148" ] }, "execution_count": 108, "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": 109, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "bic = 8189.747000497186\n", "aic = 8102.521720382148\n", "n_params = 17\n" ] } ], "source": [ "# extra code – bonus material\n", "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\n", "print(f\"bic = {bic}\")\n", "print(f\"aic = {aic}\")\n", "print(f\"n_params = {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": 110, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–20\n", "\n", "gms_per_k = [GaussianMixture(n_components=k, n_init=10, random_state=42).fit(X)\n", " for k in range(1, 11)]\n", "bics = [model.bic(X) for model in gms_per_k]\n", "aics = [model.aic(X) for model in gms_per_k]\n", "\n", "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(\"$k$\")\n", "plt.ylabel(\"Information Criterion\")\n", "plt.axis([1, 9.5, min(aics) - 50, max(aics) + 50])\n", "plt.annotate(\"\", xy=(3, bics[2]), xytext=(3.4, 8650),\n", " arrowprops=dict(facecolor='black', shrink=0.1))\n", "plt.text(3.5, 8660, \"Minimum\", horizontalalignment=\"center\")\n", "plt.legend()\n", "plt.grid()\n", "save_fig(\"aic_bic_vs_k_plot\")\n", "plt.show()" ] }, { "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": 111, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.4 , 0.21, 0.4 , 0. , 0. , 0. , 0. , 0. , 0. , 0. ])" ] }, "execution_count": 111, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.mixture import BayesianGaussianMixture\n", "\n", "bgm = BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)\n", "bgm.fit(X)\n", "bgm.weights_.round(2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The algorithm automatically detected that only 3 components are needed!" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this figure is almost identical to Figure 9–16\n", "plt.figure(figsize=(8, 5))\n", "plot_gaussian_mixture(bgm, X)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# extra code – this cell generates and saves Figure 9–21\n", "\n", "X_moons, y_moons = make_moons(n_samples=1000, noise=0.05, random_state=42)\n", "\n", "bgm = BayesianGaussianMixture(n_components=10, n_init=10, random_state=42)\n", "bgm.fit(X_moons)\n", "\n", "plt.figure(figsize=(9, 3.2))\n", "\n", "plt.subplot(121)\n", "plot_data(X_moons)\n", "plt.xlabel(\"$x_1$\")\n", "plt.ylabel(\"$x_2$\", rotation=0)\n", "plt.grid()\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": [ "# Exercise solutions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. to 9." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. In Machine Learning, clustering is the unsupervised task of grouping similar instances together. The notion of similarity depends on the task at hand: for example, in some cases two nearby instances will be considered similar, while in others similar instances may be far apart as long as they belong to the same densely packed group. Popular clustering algorithms include K-Means, DBSCAN, agglomerative clustering, BIRCH, Mean-Shift, affinity propagation, and spectral :.\n", "2. The main applications of clustering algorithms include data analysis, customer segmentation, recommender systems, search engines, image segmentation, semi-supervised learning, dimensionality reduction, anomaly detection, and novelty detection.\n", "3. The elbow rule is a simple technique to select the number of clusters when using K-Means: just plot the inertia (the mean squared distance from each instance to its nearest centroid) as a function of the number of clusters, and find the point in the curve where the inertia stops dropping fast (the \"elbow\"). This is generally close to the optimal number of clusters. Another approach is to plot the silhouette score as a function of the number of clusters. There will often be a peak, and the optimal number of clusters is generally nearby. The silhouette score is the mean silhouette coefficient over all instances. This coefficient varies from +1 for instances that are well inside their cluster and far from other clusters, to –1 for instances that are very close to another cluster. You may also plot the silhouette diagrams and perform a more thorough analysis.\n", "4. Labeling a dataset is costly and time-consuming. Therefore, it is common to have plenty of unlabeled instances, but few labeled instances. Label propagation is a technique that consists in copying some (or all) of the labels from the labeled instances to similar unlabeled instances. This can greatly extend the number of labeled instances, and thereby allow a supervised algorithm to reach better performance (this is a form of semi-supervised learning). One approach is to use a clustering algorithm such as K-Means on all the instances, then for each cluster find the most common label or the label of the most representative instance (i.e., the one closest to the centroid) and propagate it to the unlabeled instances in the same cluster.\n", "5. K-Means and BIRCH scale well to large datasets. DBSCAN and Mean-Shift look for regions of high density.\n", "6. Active learning is useful whenever you have plenty of unlabeled instances but labeling is costly. In this case (which is very common), rather than randomly selecting instances to label, it is often preferable to perform active learning, where human experts interact with the learning algorithm, providing labels for specific instances when the algorithm requests them. A common approach is uncertainty sampling (see the _Active Learning_ section in chapter 9).\n", "7. Many people use the terms _anomaly detection_ and _novelty detection_ interchangeably, but they are not exactly the same. In anomaly detection, the algorithm is trained on a dataset that may contain outliers, and the goal is typically to identify these outliers (within the training set), as well as outliers among new instances. In novelty detection, the algorithm is trained on a dataset that is presumed to be \"clean,\" and the objective is to detect novelties strictly among new instances. Some algorithms work best for anomaly detection (e.g., Isolation Forest), while others are better suited for novelty detection (e.g., one-class SVM).\n", "8. A Gaussian mixture model (GMM) is a probabilistic model that assumes that the instances were generated from a mixture of several Gaussian distributions whose parameters are unknown. In other words, the assumption is that the data is grouped into a finite number of clusters, each with an ellipsoidal shape (but the clusters may have different ellipsoidal shapes, sizes, orientations, and densities), and we don't know which cluster each instance belongs to. This model is useful for density estimation, clustering, and anomaly detection.\n", "9. One way to find the right number of clusters when using a Gaussian mixture model is to plot the Bayesian information criterion (BIC) or the Akaike information criterion (AIC) as a function of the number of clusters, then choose the number of clusters that minimizes the BIC or AIC. Another technique is to use a Bayesian Gaussian mixture model, which automatically selects the number of clusters." ] }, { "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": 114, "metadata": {}, "outputs": [], "source": [ "from sklearn.datasets import fetch_olivetti_faces\n", "\n", "olivetti = fetch_olivetti_faces()" ] }, { "cell_type": "code", "execution_count": 115, "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": 116, "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": 116, "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": 117, "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,\n", " 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": 118, "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": 119, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "199" ] }, "execution_count": 119, "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": 120, "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(f\"k={k}\")\n", " kmeans = KMeans(n_clusters=k, n_init=10, random_state=42)\n", " kmeans.fit(X_train_pca)\n", " kmeans_per_k.append(kmeans)" ] }, { "cell_type": "code", "execution_count": 121, "metadata": {}, "outputs": [ { "data": { "image/png": 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nBd8tZgHdzKwr8CFwJnB2/AFm1pkwGmCgu/+vPueKFJqPPgpV+DNnhgU+brghtME3htrhRfJXpIDv7s839kYeOv9dCEwhzME/3t3nmtnQ2P6xwDXALsA9Fhaj3uzuPZOd29g8iTRVL78cOuetXQv/+lftHfXqS+3wIvkp8vK4ZlYMXEAYlufAXOBed/806jXcfTIwuVra2Lj3g4BB1c9Ldq5IoXGHsWNh2LAww9fUqbD33tnOlYg0BVFXyzscWESoRv8G2ACcA7xvZoemL3siha1yEpyjjjqSzp3DZDe/+Q0ceyzMmqVgLyLRRX3CHw08Agx19woAM2tGmG3v/4DD0pM9kcJVdXpcY8UKWLECTjkFHn208e31IlJYogb8/YHzKoM9gLtXmNltwJx0ZEyk0CWaHhdgzhwFexGpv6ir5a0BuiZI7wp8lbLciMi3tBiNiKRS1IA/EXggtrhNVzPrYmbnAPcRqvpFJIWmTQuL1ySixWhEpCGiVulfTpjtbnzcOZuAewGtXCeSImvXhult//IXaN8evvwSysu37tdiNCLSUFGXx93o7hcBOxHa8w8Adnb3S9x9YxrzJ1IwnnsurEA3bhxceiksXgwPPBCG35k5JSVhn8bIi0hDRB2W197MOrr7end/193fcff1ZtYxNj5fRBpo7Vo4/3w45hjYZht48cWw3vx224XgvnQpTJ/+PEuXKtiLSMNFbcN/COiXIP342D4RaYDp02HffUMV/iWXwFtvweGHZztXIpKPogb8HwIvJEh/EeiZuuyIFIayMrjggrC+fIsW8MILcNttoY1eRCQdogb85kDLBOnbJkkXkTiVM+Y1axY643XtCvfeu/Wp/kc/qusKIiKNEzXgvwacnyD9AsJKdiKSROWMecuWhbnwP/0UvvgCrr5aT/UikjlRh+VdBUw3s/2A52JpRxF66x+TjoyJ5Isrrqg5Y547/O1v8Ic/ZCdPIlJ4og7LmwkcCiwGfgqcBiwBDnX3V6LezMz6mtlCM1tkZjXG75tZdzN71czKzWx4tX2XmNlcM3vPzB4xs22j3lck08rL4Z//hOOOgw8/THyMZswTkUyKvDyuu79NWCGvQcysCBgDHAusBGaZ2ZPuPi/usNXAMOCUaud2iKX3cPdvzOyfwJnAXxuaH5F0mDs3jJ3/299CtX3nzrDDDrBmTc1jNWOeiGRS1HH4Pczse3Hbx5rZw2Y2MhbIo+gFLHL3xbHJeiYCJ8cf4O6r3H0WYRa/6poD25lZc6AV8FHE+4qkRHzHuy5dwjaEHvfjx8Nhh4Xlau++G446CqZMCZPnjBlTs51eM+aJSKaZu9d9kNmrwB3uPtHMOgL/A0qBfYGH3H1khGv8DOjr7oNi2wOBg939wgTHXgeUufvouLSLgFHAN8Cz7p5wChIzGwIMASguLj5o4sSJVfaXlZXRpk2bOsvc1KmcqTVtWjtGj/4e5eVbv99us80WevT4moULt+ebb5pTUrKOE074mOOO+5Qdd9xU4/z779+DVata0q5dOYMGLeaYY1ZFvr8+z/yicuaXXCpnnz59Zrt74uHy7l7ni7Ai3l6x95cAM2Lv+wBLI17jdOD+uO2BwF1Jjr0OGB63vRMwHdgNaAH8BzinrnsedNBBXt2MGTNqpOUjlTO1SkrcQ1e7qi8z91/+0v3ll90rKtJ3f32e+UXlzC+5VE7gDU8SE6O24RcBlXPmHw1Mjr3/AIg6te5KoFPcdkeiV8sfAyxx988AzOwx4DDg4YjnizRKbR3sxo/PXD5ERBoq6jj894DzzezHhID/TCy9A/B5xGvMArrFltfdhtDp7smI5y4HDjGzVmZmsTzMj3iuSKPtvnvidHW8E5GmIuoT/hWEavThwIPu/m4svT/wepQLuPtmM7sQmEKoMRjv7nPNbGhs/1gzaw+8AbQFKszsYkLP/NfM7FHgTWAzMAcYFzHvIo3yv//Bhg0109XxTkSakkgB391fMLPdgLbu/mXcrr8A65Oclug6k9naHFCZNjbu/SeEqv5E514LXBv1XiKpMGcOHH986Jl/441w332her9z5xDstXqdiDQV9RmHvwX4slra0lRnSCRXvPACnHQS7LgjTJ0Ke+0FV12V7VyJiDRM1DZ8kYIyaVJ4su/QAV5+OQR7EZGmTAFfpJq//Q1OPRX22Sc85XdM2MgkItK0KOCLxPnzn+Hcc6F3b3juOdh112znSEQkNRTwRQjT6Pz+92F9+tNOg//+F7bfPtu5EhFJncgB38z2MbO7zexpM/tOLO0UMzsgfdkTSb8tW+A3vwm98AcNgn/8A1q2zHauRERSK+riOccRJs7pABwFbBfb9V00VE6asI0bw9C6sWPDuvXjxkFR1OWgRESakKhP+DcAv3P3U9k6xS6EBXR6pTpTIukUv+rdDjuEJ/pbboGbbwazbOdORCQ9oo7D/wHVJsyJWQ3snLrsiKTXhAkwZAisj00XtWEDbLNN8qlzRUTyRdQn/C8J1fnVHUhYFEekSbjqqq3BvtLGjZpQR0TyX9SA/3fgVjPrCDjQ3MyOBEYDf0tX5kRSLdmqd7Wthicikg+iBvyrgSXAMqANMI+wPv1LgJYPkSZh3bpQfZ+IVr0TkXwXKeC7+yZ3HwB0A84Azga6u/vA2Bz7kZhZXzNbaGaLzGxEgv3dzexVMys3s+HV9u1oZo+a2QIzm29mh0a9r8iGDXDKKVBeXjPoa9U7ESkEUYflXWNmrdx9sbs/6u7/dPf3zWw7M7sm4jWKgDFAP6AHcJaZ9ah22GpgGKGpoLo7gGfcvTuwHzA/yn1FNm2CM86AadPgwQdh/HgoKQk98ktKwlA8rXonIvkuai/9a4Gx1FwKt1Vs3x8iXKMXsMjdFwOY2UTgZELzAADuvgpYZWYnxp9oZm2BI4DzYsdtpOrwQJGEtmyBgQPDYjj33AO/+EVIV4AXkUITtQ3fCJ31qjuA8FQeRQdgRdz2ShL3/E9kD+Az4P+Z2Rwzu9/MWkc8VwpURQUMHhzG2d96K5x/frZzJCKSPeaeKI7HdpqtJQT61oSn+/iDi4BtgbHufkGdNzI7HTje3QfFtgcCvdz9twmOvQ4oc/fRse2ewEzgcHd/zczuAL52998nOHcIMASguLj4oIkTJ1bZX1ZWRps2berKbpNX6OV0h7vu2pPHH+/Iuecu5bzzlmY+cylU6J9nvlE580sulbNPnz6z3b1non11VelfSHi6Hw9cBayJ27cRWOrur0bMx0qgU9x2R+Cjepy70t1fi20/CtTo9Afg7uOAcQA9e/b03r17V9lfWlpK9bR8VOjlvPJKePxxuPRSuPXWLph1yXjeUqnQP898o3Lml6ZSzloDvrs/CGBmS4CX3X1zI+41C+hmZl2BD4EzCb396+Tun5jZCjP7nrsvBI4mru1fJN5NN8Ef/whDh4aqfE2XKyISvdPedOA7wKr4RDPbBVjl7nUuN+Lum83sQmAKoTlgvLvPNbOhsf1jzaw98AbQFqgws4uBHu7+NfBbYIKZbQMsBn4ZMe9SQO64I8yaN3AgjBmjYC8iUilqwE/2Z7Ml9egt7+6TqTYnv7uPjXv/CaGqP9G5bwEJ2yVEAO6/Hy6+GH760zD0rlnkxZ9FRPJfrQHfzH4Xe+vAUDMri9tdBPwYWJCmvIlE9sgjYVGcvn3D++ZRv8qKiBSIuv4sVvagN2AQED+r3kZgKTA09dkSqd2ECaHqfvnyI9l1V/j8czjiCPj3v5NPnysiUsjq6rTXFcDMZgA/dfcvM5IrkVpUXeLW+OyzUH0/cGCYJldERGqKOpd+n8pgb2bFZqbWUcmaREvcVlTADTdkJz8iIk1B1Ln0m5vZLbGJeD4EusTS/2Rmv0lj/kS+9dVX8MADsGxZ4v1a4lZEJLmoT+rXAScB5wDlcemvE5vfXiQdysvDBDqnnQbt28OgQck75GmJWxGR5KIG/LOAoe7+BFARl/4esFfKcyUFY8IE6NIltMF36RK2Kyrg+edDO3379mGY3UsvhYl0Xn8d/vrXmm31WuJWRKR2UQcv7Q4kqkhtXo9riFRRtfNdqKo/7zwYNgxWr4bWreHUU+Gcc+Doo7c+2f/wh+Hf0Evf6dzZGDVKK+CJiNQmarCeS1iedmm19DOA2anMkBSORJ3vNm8OaX//O/TvH4J+IgMGhFdp6fNNYg5rEZFsixrwrwceNrNOhAl3Tjez7oS58E+s9UyRJJJ1sisvh7POymxeRETyXdRheZMIT/PHEdrwrwW6ASe5+7T0ZU/y1QcfqPOdiEgmRW5/d/cphIVvRBpl6lT4+c+hRYvQWa88btyHOt+JiKSHJtCRjHGH0aPDfPcdO8K774Zx9SUlYVW7khIYN06d70RE0iHqxDtrzezrZK+oNzOzvma20MwWmdmIBPu7m9mrZlZuZsMT7C8yszlm9lTUe0puWL8+9La/7LIwzO6VV2CPPUJwX7o0DMVbulTBXkQkXaJW6V9YbbsFcABwGhCpAtbMioAxwLHASmCWmT3p7vPiDlsNDANOSXKZi4D5QNuI+ZYcsGxZGF731ltw000wYoTWqRcRybRIAd/dH0yUbmZvAkcDd0W4TC9gkbsvjp07ETgZ+Dbgu/sqYJWZ1ej5b2YdCSMCRgG/q75fclNpKZx+OmzcCJMmwYka0yEikhXm7g0/2WwP4G133z7CsT8D+rr7oNj2QOBgd69ee4CZXQeUufvouLRHgT8C2wPD3f0nSe4zBBgCUFxcfNDEiROr7C8rK6NNmzbRCtiEZbuc7vD44x0YM2ZPOnZczw03vEfnzt+k/D7ZLmemqJz5ReXML7lUzj59+sx2956J9jV2lrwzgc8jHpuoEjfStw0z+wmwyt1nm1nv2o5193HAOICePXt69UlZSktLC2KilmyWc8MGOP/8MAVu//7w0EOtadv24LTcS59nflE584vKmVsiBXwze5eqwdmAYmBn4PyI91oJdIrb7gh8FPHcw4H+ZnYCsC3Q1swedvdzIp4vaTRhQuU0t7D77rDNNrBkCVx7LVxzTRh6JyIi2RX1Cf/RatsVwGdAqbsviHiNWUA3M+tKWGL3TMJMfXVy95HASIDYE/5wBfvcUH0+/A8/DP9efDFcd122ciUiItVF7bR3fWNv5O6bzexCwuQ9RcB4d59rZkNj+8eaWXvgDUIv/Aozuxjo4e6Rh/5JZiWaDx/Ckra33575/IiISGL1asM3s6OAHoTq/bnuXlqf8919MjC5WtrYuPefEKr6a7tGKVCv+0r6JJsPP1m6iIhkR9Q2/A7A48BBbG13393M3gBOdfeobfGSR95+G4qKwgp31Wk+fBGR3BK1O9WdwBZgT3fv5O6dCIvnbIntkwLiHqbEPeSQsHxty5ZV92s+fBGR3BM14B8LXODuSyoTYhPoDIvtkwKxbh388pcwaBAcfjgsXKj58EVEmoLGjsOvSEkupEmYPz/MmjdvXhhy9/vfhyr9AQMU4EVEcl3UJ/zngDvN7Ntx9GbWGbgjtk/y3N//Dj/8IaxaBVOmhCF3RUXZzpWIiEQVNeAPA1oBi81smZktBT6IpQ1LU94kB2zYAEOHhif4Aw6AOXPgWDXiiIg0OVHH4a8ADjSzY4HuhJn25rn7tHRmTrJr0aJQhf/WW3DFFXDjjdC8sY1AIiKSFfX68+3uU4GpacqLZFn8FLm77AJlZbDddmGVu58kXKpIRESaisgB38wOJiyF245qTQHurmr9Jq76FLmffx7mwL/5ZgV7EZF8EKkN38yGA68C5wH7A/vEvfZOU94kgxJNkVtRoelxRUTyRdQn/IuAYe5+dzozI9mjKXJFRPJb1F76bak2B77kl/btE6drilwRkfwQNeA/AvRt7M3MrK+ZLTSzRWY2IsH+7mb2qpmVx5oRKtM7mdkMM5tvZnPN7KLG5kW22rw5dM6rTlPkiojkj6RV+mb2u7jNFcD1ZnY48A6wKf5Yd7+trhuZWREwhjAV70pglpk96e7z4g5bTRjXf0q10zcDl7r7m2a2PTDbzKZWO1ca6PbbYfFiuOACeOqpUI3fuXMI9ppBT0QkP9TWhv/battlwGGxVzwH6gz4QC9gUWwOfsxsInAy8G3QdvdVwCozO7HKDdw/Bj6OvV9rZvOBDvHnSsMsWBCmyD31VLjrLrhbvTRERPJS0oDv7l1TfK8OhJqCSiuBg+t7ETPrAhwAvJaabBWuLVvgV78KK97dc09Y/EZERPJTJudNSxROvF4XMGsD/Bu42N2/TnLMEGAIQHFxMaWlpVX2l5WV1UjLR1HK+a9/deTVV/fkyivnsWDBKhYsyEzeUkmfZ35ROfOLyplbamvDj7zOfcSJd1YCneK2OwIfRb2HmbUgBPsJ7v5YLXkZB4wD6Nmzp/fu3bvK/tLSUqqn5aO6yvn++zB+PJx0Etx4Yw/MemQucymkzzO/qJz5ReXMLbU94e8T8RpRn9JnAd3MrCvwIXAmcHaUE83MgAeA+VE6CErtKipCVf6228LYsarKFxEpBLW14fdJ5Y3cfbOZXQhMAYqA8e4+18yGxvaPNbP2wBuEcf8VZnYx0APYFxgIvGtmb8UueaW7a26ABrj7bnjpJfjrX2H33bOdGxERyYSMrn0WC9CTq6WNjXv/CaGqv7qXSNwHQOrpgw9g5Eg44QT4xS+ynRsREcmUutrwR7r7urra87V4TtNQUQG//nVY4vYvf1FVvohIIamrDb9F3Ptk6tXTXrJn7Fh4/nm4/37omKgeRURE8lakNvxUt+dL5i1ZApdfDscdFzrsiYhIYYk6l34VZtY8NiZemgB3GDQorG9/332qyhcRKUS1BnwzO9rMzqiWNoIwze5XZvaMme2YxvxJCowbB9Onw+jRWv1ORKRQ1fWEP4K4XvNm1gu4CXgIuBzYD7gqbbnLERMmQJcu4Qm5S5ew3VQsWwbDh8PRR8PgwdnOjYiIZEtdw/L2IQT9SqcDr7j7YAAzWwHcCFyWnuxl34QJMGQIrF8ftpctC9uQ+yvJuYcg7x466qkqX0SkcNX1hL8jsCpu+3DgmbjtWYRFcfLWVVdtDfaV1q+Hiy6C116Dr75Kfm62awbGj4epU+GWW8L9RUSkcNX1hP8x8F1ghZm1JKxS9/u4/dsD5WnKW05Yvjxx+hdfwCGHhPft2sH3vhde3buHfxcuhGuuyXzNwIQJ4UvK8uVHAvD978PQoem7n4iINA11BfyngVtiHfX6A+uAF+P27wssSlPeckLnziFYV7f77nDvvSGwL1gQ/v3Pf+Dzz5Nfa/36EIzTFfCrNj+E+vulS+GRR3K/+UFERNKrroB/DfAYMI3QM/9cd98Yt/9XwNQ05S0njBpVtQ0foFWrUE3ev3/N41evDsH/sMMSXy9ZjUEqJGp++Oab9H7JEBGRpqHWgO/unwNHmNkOQJm7b6l2yOmELwJ5qzJQhmry8MQ/alTyALrzznDooVBSkrhmIJ3D4pJ9mUjnlwwREWkaIk284+5rEgR73H11tSf+vDRgQKgar6gI/0Z5Wh41KtQEVHfssanO3VbFxYnTNfZeREQaNNNeQ5lZXzNbaGaLYv0Cqu/vbmavmlm5mQ2vz7m5ZsCAMOFNSUkYDte5M+y9Nzz4ILzwQurvt3RpqM6vPvSuVavw5UNERApbxgK+mRUBY4B+hDXuzzKzHtUOWw0MA0Y34NycE18zsGwZvPgi7LEH/PSnsHhx6u7z5ZdhudtmzeBPf6r8kuGUlIQvHWq/FxGRTD7h9wIWufviWDPARODk+APcfZW7zwI21ffcpmDHHeGpp8IXgJNOgjVrGn/N8nI49dSwzv0TT8Bll4UvGdOnPx+5+UFERPJfXb30U6kDsCJueyVwcKrPNbMhwBCA4uJiSktLq+wvKyurkZZpv//9jlx22b4cd9yX3HTTexQVNWyF4YoKuOmm7/P888VcffU8KipWUVm0XChnJqic+UXlzC8qZ27JZMBPNLFr1EgX+Vx3HweMA+jZs6f37t27yv7S0lKqp2Va797Qpg0MGbILTz11JLff3rDrXHUVPPcc3HQTjBzZg9DaEeRCOTNB5cwvKmd+UTlzSyYD/kqgU9x2R+CjDJybkwYPhnnz4M9/DrPhVc7CF9V994VAP2QIjMj5LowiIpJtmWzDnwV0M7OuZrYNcCbwZAbOzVm33gr9+sEFF8CMGdHPe/ppOP/8cO6YMVoUR0RE6paxgO/um4ELgSnAfOCf7j7XzIaa2VAAM2tvZiuB3wFXm9lKM2ub7NxM5T1dmjcP097utRecdhq8/37d57z1FpxxBuy7L/zjH+EaIiIidclouHD3ycDkamlj495/Qqiuj3RuPthhB5g0CQ4+OPTcnzkz9OZPZPnyMPxup51Cb//tt89oVkVEpAnL6MQ7ktgee8Bjj4Wx+WecAZs31zxmzRo48URYtw4mTw6L94iIiESlgJ8jfvzjMEnO1KlwySVV923cGKr8FywIXwz23js7eRQRkaZLLcA55LzzQs/9W2+FtWuhtDRU47dqFZ7sH3wQjj4627kUEZGmSAE/x/zxjzBtWgjuldatgxYtoKgoe/kSEZGmTVX6OaaoCD7/vGb6pk1hoh0REZGGUMDPQStXJk7XuvYiItJQCvg5KNn69VrXXkREGkoBPweNGhU66sXTuvYiItIYCvg5aMCAMEQvrGuP1rUXEZFGUy/9HDVggAK8iIikjp7wRURECoACvoiISAFQwBcRESkA5u7ZzkPamNlnwLJqybsCCaa2yTsqZ35ROfOLyplfcqmcJe6+W6IdeR3wEzGzN9y9Z7bzkW4qZ35ROfOLyplfmko5VaUvIiJSABTwRURECkAhBvxx2c5Ahqic+UXlzC8qZ35pEuUsuDZ8ERGRQlSIT/giIiIFp6ACvpn1NbOFZrbIzEZkOz+pYmadzGyGmc03s7lmdlEsfWczm2pm78f+3SnbeW0sMysyszlm9lRsO+/KCGBmO5rZo2a2IPa5HpqPZTWzS2K/s++Z2SNmtm0+lNPMxpvZKjN7Ly4tabnMbGTs79JCMzs+O7muvyTlvDX2e/uOmT1uZjvG7cubcsbtG25mbma7xqXlZDkLJuCbWREwBugH9ADOMrMe2c1VymwGLnX37wOHABfEyjYCeM7duwHPxbabuouA+XHb+VhGgDuAZ9y9O7Afocx5VVYz6wAMA3q6+95AEXAm+VHOvwJ9q6UlLFfs/+qZwA9i59wT+3vVFPyVmuWcCuzt7vsC/wNGQl6WEzPrBBwLLI9Ly9lyFkzAB3oBi9x9sbtvBCYCJ2c5Tynh7h+7+5ux92sJwaEDoXwPxg57EDglKxlMETPrCJwI3B+XnFdlBDCztsARwAMA7r7R3b8iD8tKWMBrOzNrDrQCPiIPyunuLwCrqyUnK9fJwER3L3f3JcAiwt+rnJeonO7+rLtvjm3OBDrG3udVOWNuBy4H4jvD5Ww5CyngdwBWxG2vjKXlFTPrAhwAvAYUu/vHEL4UAO2ymLVU+DPhP1dFXFq+lRFgD+Az4P/Fmi/uN7PW5FlZ3f1DYDTh6ehjYI27P0uelTNOsnLl89+mXwFPx97nVTnNrD/wobu/XW1XzpazkAK+JUjLqyEKZtYG+Ddwsbt/ne38pJKZ/QRY5e6zs52XDGgOHAjc6+4HAOtomtXatYq1YZ8MdAV2B1qb2TnZzVVW5OXfJjO7itDcOKEyKcFhTbKcZtYKuAq4JtHuBGk5Uc5CCvgrgU5x2x0J1Yd5wcxaEIL9BHd/LJb8qZl9J7b/O8CqbOUvBQ4H+pvZUkJzzFFm9jD5VcZKK4GV7v5abPtRwheAfCvrMcASd//M3TcBjwGHkX/lrJSsXHn3t8nMzgV+AgzwrWO/86mc3yV8UX079jepI/CmmbUnh8tZSAF/FtDNzLqa2TaEThVPZjlPKWFmRmjvne/ut8XtehI4N/b+XOCJTOctVdx9pLt3dPcuhM9uurufQx6VsZK7fwKsMLPvxZKOBuaRf2VdDhxiZq1iv8NHE/qf5Fs5KyUr15PAmWbW0sy6At2A17OQv5Qws77AFUB/d18ftytvyunu77p7O3fvEvubtBI4MPZ/N3fL6e4F8wJOIPQa/QC4Ktv5SWG5fkSoMnoHeCv2OgHYhdAb+P3YvztnO68pKm9v4KnY+3wt4/7AG7HP9D/ATvlYVuB6YAHwHvAQ0DIfygk8QuiXsIkQDH5dW7kI1cMfAAuBftnOfyPLuYjQhl35t2hsPpaz2v6lwK65Xk7NtCciIlIACqlKX0REpGAp4IuIiBQABXwREZECoIAvIiJSABTwRURECoACvoiISAFQwBeRlDCzP5nZ1GznQ0QSU8AXkVTZnzDRiojkIAV8EUmV/YA52c6EiCSmgC8ijRZbNKSY2BO+mbU2s4lm9mZsyWYRyTIFfBFJhQOAb4CFsUV/XicsjXq4uy/NZsZEJFDAF5FU2B94FzgFeAW4z93PcfdvspkpEdlKi+eISKOZ2T+AY4EiwrKoz2c5SyJSjZ7wRSQV9gceA1oQloEVkRyjJ3wRaRQzawWsBQ4BugHjgCPc/c2sZkxEqmie7QyISJO3H+DAe+4+y8y+D0wys17u/mGW8yYiMarSF5HG2g94P66D3jXAy8CTsad/EckBqtIXEREpAHrCFxERKQAK+CIiIgVAAV9ERKQAKOCLiIgUAAV8ERGRAqCALyIiUgAU8EVERAqAAr6IiEgBUMAXEREpAP8ff9HK64y/UKYAAAAASUVORK5CYII=\n", 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" ] }, "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(\"$k$\")\n", "plt.ylabel(\"Silhouette score\")\n", "plt.plot(best_k, best_score, \"rs\")\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 122, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "120" ] }, "execution_count": 122, "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": 123, "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(\"$k$\")\n", "plt.ylabel(\"Inertia\")\n", "plt.plot(best_k, best_inertia, \"rs\")\n", "plt.grid()\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": 124, "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": 125, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cluster 0\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 1\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 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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\n", 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" ] }, "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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 6\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 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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\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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 16\n" ] }, { "data": { "image/png": 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XEY/HAQBLS0t455130O/3MRqNUCqVUK1Wsbq6KsWB8XgsCuvEaR7RGJDQCQA6nY4wMouLi1LabrVaiEQiuHLlCi5evIjJZALTNEW3YrEIAEilUif2hySTSQRBgHg8jmq1KmR/Op3Gj370IymzFgoFvPHGG6jX69jc3MRnn30mnliXjVmynUdP5iJBEAh86Xa7+OKLL1Cr1bCwsIAbN27AcRyBKQsLC3j11VeRSCRkA+dyOZTLZUQiEeGIddnZ9335vWVZqFQqsCwLtm2jWCzivffekyJLOp1GuVxGr9fDxsYGgKMS+eLiIjKZzExfyUlyqhFz59JLMPQvLCzg2rVrsG0byWQSjuNgfX0dpVJJFomFAJZ0iYuz2azQKlxcgn5mwACEJSAuvXnzpvCkvu+j1+thYWEBP/7xj5HL5VAqlYSDZgI1L3+qYZOmtabTKYrFotB9tm3j5s2bkt2T8qJOjAD0IqlUaqZsy03C6ARANizx/fr6OlZWVtDr9YSHBoCrV6/CcRzk8/kZytEwjLkrdoRNTJ44tkqlguvXr6Narcrfrl69ipWVlZkiVxAEKJfLQnOapolkMimFCs6brshmMhkEQSBetdfrwXEc3LhxQ4o3jARra2uoVCpIJBKoVCpIp9PIZrMyD9+KJ+bi6sYWwotyuSxVJ8dxJHMnZcQvTloymZR6vcafLIiQZmKBATjaRNyBxE/T6VSyee58Gg2NyXGcpxqVThPN5ZJ8Jz5bWFhAr9eTQoxOxvQGp9dKJpPIZDISvYDjvhBdcufC07uQbyZUICQhE1GpVITZKRQKUvJlEWQe4RrSIdEQL126hFKphH6/LxidiTjHR06XSVe4IUyvp55T8t2MVOSQfd9HPp+XhFzTepFIBKlUShL2aDSK4XD4zPV8rhHr/oawMcdiMfR6PXlMnk8vZDqdlsdcTM2HhrlVLhSreYlE4qnqGLEcwyNhj25ImbdvguPRXW96fFwUzf1ywrmQ7LxiXwE3s26W0Vw5x8kF8n0f8Xh8hvlgEgUcezducho5IR5puedJuFmHv9OsRTQaRb/fF5wLHDmTVCqFeDyOVColrQTh7jv9mnQ6NMhUKiXRK5fLyZpys9KZ0ZbIsdP4T2sheK72WmEaBxWOx+MoFAqSqNE78v9YEyePqwsGXBwaSTQalZ3K/gjW5UnE613M/9GNO8y0uSjzykm9vjpaxONxSS40D855oBFrjleHa/36fE16OG5CdsCxwGLbtmBdDeuoL9+HGPfbCI2PX+wTKZfLAh05TrYSkBnRzVrhedR2QlgZiURkPQuFwkw1lF/a8DVrxTV4VgJ7qvYaTIf7S5nw6UXSLXdcRNIup/Wnag5YlzZpjCwzh9s++Rq6CqYnZN6s/aQ2UQ0vdJkbgIxPj52GxUU7aXE1vNIlWxoxcwLOOzcN55HP40Zi8jWvEYfXkvPI19brGV7XMGTQ66dfl/NHLE2um3qw70XPZ7j7kXNA6o9r8V9ixLrEqx/zjXT2GJ6M8MRp8t8wjJm2Q/KQ/JteqPCJCV0GpbegR39WIhAWGp42Bj1GXUygLro0zN9zLBq76c0BHOcZhF7hqKIXVz8PgGxWHfnCZerTROcROrqG9Q2/t35OeCPo0r+eH0YYYn0dQbmZ9XN1rw3HoKujpzmkUzMfVs+0p6IyWkE9EWHD5eB1rT1cYbIsS3AeB00D1NiZBqVLllr4fp7nScVtHtGLq0N1WLRRhyOK9ir8Iv7l/zAsEt9xs3KudALLTa0pTs0s6H7geSOO5vqfpZt+HDZo7THDUTc8J7FYDKlUStoWuPE0hNGQTSfBfF+9vtzAJ8lcnpiTq73KSUatmzg4KI2rqAD/xoXl7/gYODLkfD5/Ykk17J00VmbZmNTcPEJPQUgTNuDnbVS9wHriwxAFOObeDcOQRu9wcqRZm7C+eoH5mvPyxM/KS/Trhr26znPoiXWRRG9qPj9spOyE4zqdFMm1U9Tj5MbTZf6wnGrEbMgJd3Bp5cMTTVqGFBINiVloeNCcHGIg4JhnZuOPhiwUPp8bjWFW9+zOW7E7KWyGPRP/TuhCvXSSQ8MKguNCgh7zSZuVfRcAZp5/WlSjIRFvPuvsWVi0cWi9tO5hfQnNdPMQG7FO2tj6NcmnEwPztEr4/cLwie9Bo2evybMi66lGzHDHpnQOWHsrHZ64eDppYfLBxW80GkItUcbjMZ48eYJ+vy/GHwSBGDW9pJ44nfjoUyHsPGOj0jyiT1WHvZTWVT9mxxlhDbuuuAFPSqJoiMSJ1HU8Hj/VRB/2TOHF5c/sXZhXT534UqeTxqnzFeqtz+Cxc043P+lN3mq1cHBwIGfkAEi/Nu0kzNToHmUar27G+lZn7HRjChdWH94MJ216sRk2OGm9Xg+Hh4d4+PAhVlZWcOnSJemiarfbuH37NgDglVdekQbwIAgkDBFjcXLpjagsPTA7vk4jx8PC54dPOnOCT0qc6F046SwQkA9luyqhA6MNj1zpueRChWEXcJy569yCi8susXkjjm531exROL/Qm1f3Q+hNSB6fJfKLFy/OdK9tbm6iVquhXC7LkXvqSp3CJ180M6W74OiFT8pTgDngBL2xbtYIswOcBH7RszFhm0wm6Pf7ePToEb744gvs7+9L9xLbOvf399HpdJBMJrG6uopcLjfzWtPpdCZRoqcn30hlR6MRer2eEPbzCGEI2z6JR8Peid+1znryucBspkkmk1heXhYDsG0bm5ub6Ha7qFarwoHSk3NxdcjVHlhvXDoXnqSZR7SnY8VRw4BwgqphDtkfrsFwOEStVsM///lPjMdj/PznP58pK9+/fx/379/HrVu3UC6XJcnje7OLTx9pIgbmmrILbjQaYTgczpS3tZxqxNwRerI5yWGOTysNYCaLJt3yyiuvyBmuZrMpp4cB4I033kCv15MjSIQbZCx46lhTUQT9g8EAvV4Po9FI6vGj0QiXL1+ea3G1dwpn/pyHMPvAeSH8ILXXbrfx+PFj3LlzB5VKBR988IFsruFwiLt37+Lg4AA/+clPkMvlpNVSGyrnWEMJDZtowIw683ri8CYAMFOgASDQUeNnva7JZBKmac6cMh+Px9jf3wcAOfZkmiYWFxdlw1IfCq9gCBdF6Ag4X1xLdgmeJM81Yp2MMQvWuFSHVM/zZigh3VATjUaxvLyMTCYjZ6iCIEAmk5GQtbi4KKVNXRig99XHV2hA3KmscNG7s/I1j+gwRm8cZmN0Rq69iTZ89hvE43EsLS0hEolgd3dXjE0fCqjX61KOp+h2Q+0dw8wLF5kbdl52gutJqBemCbmmOroAx1VG6srmo1gshmw2i36/j2azKU3tiUQC5XJZmnl4IFSzLrozjRuHFTy9ORltgiDAwsLCiXqdasTciTpTJ6zgCQTuat/3Z472h3lGwzi+h8L3famn03DofTRsIFVHaKKTCy6s9l7MgKfTKba3t/HJJ5/gt7/97XMXl69Dol1DJ45Dv5/ezHqzkdddW1tDPp+X08KMErFYDMvLy9LAz75crSthB+edXtrzPDlGxMXVBwfmEY1ryTRQDwAz3p7YVTskva7siWCfOF+bnWea66aEK7E6ghMiEtbRKfHkCZmqk+RUIyZ1cxIXqDEwq1000pM8WZgmMwxDjvKw+1/vVBovPS4Xk7/TxgVAFoWNQrVaDZubm99ogYn7IpGjHl3d86FPZPCIPW/60V14QXB0LIqtmU+ePJFza4VCQeZJ33/GaKeLF2R1uHH5O2Jgdg+yUX0e0Tw0500zSXQoPKbP0+40Rk2xUtihyGvACMu4ZnxNYnA6AE0zAsdVOc3587HjOLhz5w4ajQZ+85vfPKXXqUbc7XaxvLw8k6Hr+rn2mKTNdPJHIUuhiyfcjST9OTn68Kj2tHxPeg/dYMO/cYKazSb29/efuXPDEo4aOozyZ0IV8p466oQpOfYhZDIZuXWHlJphGDJPutVRP5/6MLJo76j5cH7t7e3NpaemEbW+XBNGoeFwKD3g+movzpXG6HweO9v07UZcN11mBjCTf2gmQkNTjtP3fYxGI2xvb+P+/fsn6nWqEddqNVy9enWGyNdGykGEiX0aGiebWI/lZHZL9Xo96dXVeEuXlvmYxq3fi4mdhjWEEsSf84o2ZB3adbRxXVe61rjAJ+FK4LjrK5/PI5FICO4jVOH/0Ag0t6xfk5yyNhxNbQ6HQ/ztb3+bS0e9abhRtFFT52QyiXw+L1CA66krZzRU/o2RlHiWuYWeC62Xjtq6HB5mRYIgkHziWzUAffrpp3j33XdP7J/QjeD0kEw06vX6zM09pFZ0Cdo0TQmJ/B0TMW4Sy7JQLBZRqVTkUCrZDo3niJN5+nZ7e/sp73qa6CqWLupQ+DueVNBYTxuCxnTEneyFoFcNby4aNl+LOmr6UIfWcISq1+s4ODiYS8/BYIB8Pi9cth4H15M41/ePTs8Q1+t8QBsUN6DG25rKIwtBVolXHywtLUnJXc95uFDk+z42NzdnjkuF5blG3Ol05OpNbbT0Vtp7cXcGQSBn63hCORKJoNfrCaYleGeViwsa5j7JJxJH8rWA474M3kDkOI6cvP4mXpj9yjrBop40Ks/z5M6xIAikN4Phl6wIjY6bgokRGQWdrLLpiQtMg6fx0wtreKHh2HQ6Rb1ef+bihmV/fx+Li4szFTvOO39mJKROe3t7+PzzzzEcDuWSFlJo7BcvFouYTqfo9XrSb8z7OhqNhmxe3l9y4cIF6cHWBRed6PGr0+ng4cOHp+p1qhHX63U8ePBAzjvpWwl1lssQxyNCi4uLWFlZQaPRkIEbhoFcLifJIols4GgH8kSD53lyCLFQKGBpaUlOOWjcxonh99FohE6ngzt37kgZdN7ursFgIMWVcLtpJHJ8BJ/ecDgcYmNjA5ubmzORRbMoNAyOlWVWTSPR+7EhvlAoyOFL4shwmNWbk5dtzytfffUVbt68OcMwAZhhhPi+vPt5YWEBi4uL2NraEm/LTZ9MJhGLxXDlyhWYponDw0M5JMuEliwKL0cpFotYXl6WJI/sDBNzjYsnkwm2trbkSqtvVbEbjUa4c+cOXn/9dbk9nRNKAyZgp8fS2NUwDKl5Ew/rBdZhlrcIlUolyfzz+bxcmMHmD5ahSYDrZh9eQqiTiHmk0+lIAhtmUnS5ncmY5x0dof/LX/4Cz/Owvr6Ot956C5ZliSeyLAuFQgGO4+Dx48dYWVlBEATY399HEATY3d2F4zg4ODiQRVpfX8fbb78thyt14qw9FB0IT17PC5s++eQT/OxnP5MrFHSSRvaA66vbP9fX11Eul+XALJNoRk4mmLwQhQ1CpmmiVCphMBjIJTrXrl3D0tLSDPVG46RjIyMxGAzw5ZdfzjBFJ8lzix23b9/G+++/j1wuJ5hJh3QCdOA4WaDwzgKeP2u32zOXhZB0j8ViqFarwi+SASDj0e120ev1Zm4QHw6H8P3ju4RbrZZAGM1mzCNff/011tfXpUGFoqGF9rC5XA7vvPMOXNfFxsYGgiBALpfD8vKy3KZJDzudTuVaW8MwsLq6Ct/3sbq6il6vh3/84x+4f/8+bNuWS/zYh0FYQQlX7ba2tsSw5pH79+/j4cOHckmjTkbDyZRO4nlKXRstoyu7EwHIkbR+vy/Hzdh6ypvtefWBrhzqEjrX13EcbG1t4csvvzyx7qDluUf2Dw8P8cc//lGuZAKODdc0TalQhXlb4PiyOYZZ9lHQePke+qLmcImXSWUkEpk5scHXGQ6HaLfbM51V8xov5d69e3jnnXek+BJmDHTopd7VahXvv/8+VlZWsLm5ib29PbRaLVy9ehXJZHLmngWyL77vy1VQh4eHck9vuVzGxYsX8fbbbwvu1BQiWQHd8NTv93H//v0ZD/o8abfb+Otf/4rr16/PHMTUfSDhCKTnktThdDqVO5oZkck9s6+Ct0QRRpLxiEajsn6ca+YLTPJ5F/Tdu3elSKTtIizPPZxlWRb+/ve/45VXXsEvf/nLGeKbu5bK6W6osDEDR56aB0d1PZ4TxsrNsxJIQgkaNpVlQqGhQDj7Pk0ePHiAra0tFIvFmaPwukTL8VB3hkrP8+SAJz8shfdjkDflLUm6+4xUVCKRwKuvvor19XVcuHBh5uQ155DYUnfMffXVV9jd3Z0bSgBHOP/27dtyVwevB6AQ8xKLk/nhczUHzl4RfWGgdi4A5E4K6qTvHx6NRhKpWIEkDua9xrx/TjMgJ8lzy85MTn7/+9+Dn6SkkwDguJlDlxM1a8Hf02NzN+p+BA1RqKw+V8cEjkIDbrVaUg3Ti/VNFrdWq+Hjjz/GpUuXZqKM3mw0LM2T8yg7cPT5JktLSzP3MzMP8H1/5rpbtn3G43E5AUwYQuNlV1v4Qm/XddFut/H5559LAjuvxGIxNJtN/OEPf5CroiKR4xt8wrQho5DmdmmoxL9kiLj+hFKaz6fxkQTgY52U01CHwyEODw9njjcxof1WcELvzH6/j7t370rXlS5IMMyxchOu6nEzMBRxIXUTDZ+j6/hMpOiJeBu77/sYDAaSmS8sLMwcfeeCzXs8yXEcfPzxx7h165Z4KBqH5ohP4pC5MGRodPmc+nBcvMKUTTvsPwhfIkIYwzIzwyzDeKvVEi/1TaATk++7d+/io48+mvGSYc5Wb1pdrWOxhz/TsJmLUHQxRc+bnheuKSETP+LCMAz5AB+t47cyYgCCc3zfx+HhIXq9Hp48eYIgOLrSiF6TBqYNQPPI+mJuYPZAJX+nQzjDy3Q6leSNhm3bNg4PD+G6LorFopymYALieZ6E+nkXd2dnBx9++CGuXLki3oSTH8Zi3Li6IsU+Wo0peWMRDZz32DEppUEwoWVGzrlij4RuUex0OjOl6W8i2oDu3buHN998c+buDuY8GoZpfKx/Zr6jEzTqSsPXnDbnAMCMI9Pr3Wg0JMHVVyXo5vmTZO5bNwzDwN7enpDaGxsbcBxHwiArPMTMxLV6F+vdqcMygBnvw8eu66LT6aDdbkuhYDKZyKfu8DonbpZoNCr4NJlMztyic5owZP35z3/Ge++9Jx5KJz167OHENJ1Oy0LoEikxJHGiToR4BRSLOLovRPcM83e89lXrzbHMi/35v5ZloV6vS2N7EARYXl6W/geuj14j6kKIQRaJovldGmy4mYd66ccsehEDMyppBkT305wkzzViXY5tNpvo9XpYWVnBYDDAxsYGyuWyfM4dDVlfH8rdr7NdvWC6LM2F43d+klG73RZMSb44n88L36nDVTabRaPREFgzr5imKRkxE6xwkqUjC0W/Pw2En1PBJI5j041DbAbXlzUykrENkXiam3kwGKBQKAh00onsPMK5N01TPrUzFovhyZMnmEwmWFxclAsLPc8TB6Gxsqbe+HoU7TV1cYi0me5K41lIFqlYcCKVqwshCwsLT5EBWubyxJys0WiEw8NDKRuOx2Ps7OzIDZW8kZJnzcIhVxuBboQBjolubcyNRgN7e3vodDpi3JZlyT3Amikh+KcX1fz1vPpZloWdnR10u90ZxoX/QypLeyfifZ54YKM4k5YwpNE8NI0emD2Ayyydj/kxXbwliNVRTQXOKzRAfqLR8vIyhsOhFF/K5bLwyEEQzFB+Gt9qA6bRag+ucxsaNOES9eFHu/FKXLYo8PnsOWfhSM/dzJyepnC46cdxHDx58gQ3b94UemY8Hsuu5sdIjUYjVCoVaW4JF0PCeI6nGXTLY6vVQq1Wk4Zy4Oi6V17fSo+muVQaFL/mzdw5+SydjsdHny/HBWPTD99PJ7UabtCz8vSKbtShoWmsqN9fc+Kk4tj03m63EYlEZCE9zxMmg6fL5xXOv+d52NnZwZtvvolkMonhcCgOYzgcolQqSbM7r9nVc8V517AhbLyECkFwdHK92+2i1WqhXq+j1Wqh0+lIoahYLM60NWgqj6elv9UZOz1QhlR+QDYnkVktPWev15MTvewD0JUmKqgnQ4cd13UFRhATkopis7mmwMhycFOQjz1N6WctrmmaaDQa6Pf7KBaLqNVq8H0f1WpVeitYudIelPiQBq758jBWBJ6+IoChliwMz5cxWwcgH2XL1yMkKRQKc9OJmjYDjhqChsOhfKYgcTeNmOch2TvDtQOOuX+Oh6/LdSWU4mbWH65JOyE1WigUkEwmZxq7gOPPF2Te8a08MSVcter1ejJ5xHoE3tPpVHoZ2u32UxOsq0/69Rlu6IWoBGFKKpWSMrT2gHriAMhnhrB0O6/QQ7nu0Yc4VqtV2LaNWq0G13WlLK75cA1X+JjMAiGH9lbaawGQDai7+rrdrnyoDzvBaMA62eJHO9CQ5xEdAYPg6AMVO52OQDOuheu62Nvbk7F0Oh1hojTboAte9MTcKLoTjXc70wPzpEupVJJ+a8JNHVX1eGnMJ8mpq8zBAsefK5bL5VCv1+VQp87SNU4Ejo836SYT/cUF5QITDjAkM3nT57yImXQ4ZiJAnpY/z4sVNbTxPA/7+/t47bXXEI/HJczy80NIo7E3Anj6Jp0wjci51H/neD3PE+Ot1+uo1+uS6JAv5WFa/TrsR/gmzU5605PC63Q6WF1dlYjCyMqqImFAs9lEoVAQhkIzD9SD49PdaDzu1O12hWFKp9PI5/NiwProk6biLMuaSYyflcAa35RrPJdz+b7J/BzUuZzL91TOjfhcXno5N+Jzeenl3IjP5aWXcyM+l5dezo34XF56+f/rNP/iZNGAFQAAAABJRU5ErkJggg==\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", 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" ] }, "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", "text/plain": [ "
" ] }, "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", 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" ] }, "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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5fAiHw7hx4wYqlQp8Pp+UfLLZLJxOJxYWFiTkZVpD9JTh5MzMDJLJJFRVRSgUEsAReARa8ZkymQxcLpecx+Ng4mFSr9clJx0MBtjZ2cGtW7fgdrsxNzcHn88nqDYR/HA4jLm5Obz33ntDpSOe5fT0NILBINrttihXs9lEr9dDrVZDsViE3+9HJBJBOp0Wg+f3+8VoAwfofafTQaFQkL2YmJiQCJKVjyfJocqaSqUQDAbh9XqhKAp+8YtfIJPJ4Etf+hKWl5dht9uRzWaRTqclzyRs7XQ6oWma5CherxdOpxPNZhNLS0vQNA2VSkUOc319Xazq1NQUQqEQlpaWBC1zOp0S49tsNvj9flGQ9fV1rK2tYWVlRb6bzzGKtFqtoUP+5S9/CZPJhBdeeAFTU1PQdR2lUknIAQTMaAzoAf1+PzweDyKRCFKpFObm5mTN9XodbrcbqVQKvV4P6XQaLpcLsVhMSCZut1tyV+M+BoNBsfoffvghNjY2sLKyMpQmjCKVSkWim8FggLfeegs7Ozu4dOkSTp06BafTiVQqhUQiIQQB4AAtZz5qNpvh9/vhdDoRDofR6/WwsLAA4EBRNE2Dw+HAw4cPxdAcP34cwEHd3u12w+v1SgjI3Njn88Hn86FarWJtbQ1bW1uSpxJsPCyfo/AOMW15++234fP5cOHCBczNzclZ0ku22234fD4x+Cyx0TnY7XZMT08jHo+j1WqhVCrBbDaLwWUqEg6HxbH4/X64XC4B0xgt8RwbjQbW1tawsbEhaQVDfpYOf50cmbMyNAOAhw8folQqIRwOw26344MPPsCbb76JXq+HVCoFVVXFy/R6PUmYuQELCwuIx+Oo1WpIp9MSAtLyEMGtVCq4du0aKpWK5DkMMdxuN2KxGCYnJ7G0tIRYLIZut4v79+/j9u3bOHv2rITBo+asVI5cLieh6crKCqamptDpdLC9vY27d+8in88jn88LsAQcXF6CXEQ1Y7GYeJtkMingAz1Ws9kUq869TSaTACBAXL/fF+88OTmJaDSKaDSKhYUFvPPOO7hz5w6Wl5fRbDYlrz1KjCwyAoSFQkEipMuXL+ONN95AIBDA5uYmIpEISqUSVFVFt9sVYwIceOn5+XksLi5ibW0NzWYT2WxWShlmsxnFYlHOoN/vo9FoYH9/X4C3drsNh8OBWCyGeDyOlZUVxGIxaJqGDz74ALdu3cK5c+cELR8lN+fZNJtNWK1W7O7u4sSJE4jH4+j3+9jc3MTa2hrS6TRarRY6nY4w0BwOhxg+kl2Wl5dx6tQpXL9+HY1GA7u7uwAgZb1cLgdVVcVgV6tViUh5J5xOJ2KxGObn5zEzM4NgMIjp6Wns7Ozg5s2bOHXqlESWh93ZI9HgEydOYG5uDj/5yU8kDFBVFZcvX8YPfvADHD9+HC+//DL+7u/+Dj6fD1tbW1heXkalUkEqlUIsFoPb7YbT6cSZM2dw//59XL16Fb1eD3t7e0JbC4VCSKfTmJmZQT6fF2rbiRMnkM/nBYTKZDLQdR137tzB2toaPvOZz8DlcsHtdmN7exuJRAJmsxlut/vIg6XE43GcOnUKvV4Pb7zxhoSKzWYTr732Gq5cuQIAOHPmDG7fvi15djAYlFyPbC9d1xEIBOB0OvH666/LRSiXy9A0TUAMEjkIUKiqikAggFQqBU3TkEwmMTExgd3dXTgcDkxPT+P06dNwuVzodDoYDAbY3t5Gs9kUq3yUuFwuLC4uYmVlBa+99pqQGVwuF15//XX8zd/8Debm5vCNb3wDd+/ehdPpxObmJqLRKGq1GhKJBKLRKPx+P3w+H+bn56HrOn7xi1/A4XCgVCqhUqnAbDYjHA6jUCgIu4ug3NLSkiiUMYS8cuUK1tfX8YUvfAEejwcWiwUPHjyQ/NLpdI4UBgeDQZw+fRrtdhvFYhGZTAbnzp2Dpmm4cuUKfv7zn+P48eMYDAZYW1uDyWRCLpdDOBzG7u4u3G43AoEAwuEwbDYb4vE4NjY28Oabb8Jut4uSu91uKIqCUqmEaDSKQqEgJbDFxUXs7u6i2+1id3cXNpsNtVoNt27dwtLSEk6dOiUsr1KphLt37yIUCiGVSh1abjxUWelB7969iytXrsDv9yMej2N7exv/+I//iHa7jZmZGRSLRdhsNuzt7UmcHgwGRbEXFxexurqKYrGIy5cvY3JyEhcuXEAqlUI2m8Xm5iaq1SrOnj2LaDSKRCIBj8cDh8OBpaUlOdh2u41wOIzTp0/jvffew9WrV1EoFDAzMyO5xuuvv44/+7M/w4cffjhS2ARAkL+trS289tpr8Pl8mJiYwM2bN/HWW29BURREo1EMBgOsrKwAOLDgLEvpug6n04n5+XksLCwgGAzi2rVr6Ha7OHfuHKxWKzKZjCC/y8vLCIfDksfz2Z1OJzwej+R7LpdL8rj79+9Lbl0ulxEIBFCtVvHtb38bf/3Xfz3SOvl5hUIBb775JmKxGGZnZ1GpVPDee+8hGAxidnYWqVQKVqsVm5ubCAQCkoowQpqdncXi4iIURcGPfvQjTE5O4uLFi6hWq0gmk9jb20MikcDS0hLm5+elLNfv97G0tISHDx8ik8mgVqvB7/fj+PHjKJfLuHr1KjqdDhYXF1EsFuFwOHD16lV885vfRKFQQK1WO3KNJBjcunULa2trEopfvnwZ//AP/yAsLiPVkjkpwUOPxyPPrigKrly5gmPHjmFxcRH5fB7ZbBY3btyA3+/H/Pw8VFVFMpmUsuHk5KSUs9rttpRrNjc3cf36dSSTScRiMYkuMpkMvv/97+Mv//Ivhxhrj8uhymq1WvHBBx+gXq/jlVdeweXLlyWUfemll8QC1mo1PPvss4IAstTj8Xjg9XqlDkhU8Hvf+56gpKqqotFooFqtijWbmJgQQnUqlYLb7cbi4iLC4bAgwSdOnMDCwoLkyqS9HTt2TMpBoxwucBB6rq+v4/Tp09B1Hel0GnNzc7BarXjllVcAQHJrv98vVrtarQqY5XA4pA5ar9dx+/ZtXLp0CS+99BL29vbg9Xrhcrmwu7uLpaUlCZ2MjQ3dbhc+nw+BQACxWEzyNdavK5WKACIbGxtYWFiQksso0u/38fDhQ9y7dw/f+c538NOf/hSrq6s4deoUyuWygFXFYhHPPfccWq0Wms2mECJcLhc8Hg/8fj+sVit2dnaws7ODP//zP8fk5KTkmWazGel0GtFoFBaLBdFoVEgiiUQCuq4jHo/DbrfDbrej3W5jenoaXq9XPF2j0RCm19LSknixo6RUKuHy5cs4f/48JicnUS6Xsbq6ikqlgj/6oz8Sj1ir1fD888+j2Wwil8uh2+0iEAjAZrMhEonA6/XCYrFge3sb3W4Xf/zHfyz182AwiI2NDamGKIqCWCwmKV29XkcwGEQ4HMbMzAysVqtENSRtEHtpt9uYnJzEgwcPkM/nBXT7dXKosjJXjMVimJiYEEBkcnISL730klywTCYDi8WCTCYjkDxDF/7dXq+HGzdu4Ny5c4jFYkgkElJ/nZmZwd27d4XhQUCB9C0CP+FwWNDS1dVVSfRJwPjXf/1XvPjii/jhD3+IZDKJSCQy0iWOx+MYDAZYXl4GAFEal8uFkydPolQqoV6vI51OC2zPxgEqHRUMAB48eACbzYaXXnpJyAuKoogFz+fzOHfuHNrtttQqyQJiKcRIryQwQe6yzWZDIpHAzMwMbt68OXIY7PP5YDKZEA6H4XK5YLFYMD09LeskAkpgLpvNDrGLVFVFPB7H9PQ0Wq0Wbty4geXlZaysrKBUKgkAGI1G5fmJhAOQtZIUEo/H4XK54PP5sLq6CovFgmq1Ks0OV65cwTPPPIMf/OAHuHPnjnTeHCbMqU+cOIGtrS34/X7Mzh6M8w2FQsJGy+fzgiWQ9M+cNR6Pw+fzodFo4O7duzh79iwikQiSyaTQYy9cuIA333xT6s1ErnlvO52O/NztdsPv98PtdsPhcAhYZ7fb8dZbb+HChQv44Q9/iE6ng6mpqSeu7VBlnZiYgN1ux9LSEprNJo4dO4bp6WmpsZJOZjKZEAwGhc2h6zpUVZXCr8ViwdbWFrrdLi5duiSekEVmr9eLeDyOdDqNl19+GbVaTWh5zOf4uZqmodFowGKxSMhts9kkfGb+aDKZDqVuGYUgGDtYTp06BY/HI8V+4FHYGwgEJDQkgstnINKYTCbx/PPPw+VyIZ/PD3XdHD9+HDdv3hQPWa/XUS6XUSwWhbbGcIxUPhotMnloGJj3hMPhkdbp8/mgqirm5+dhNpsFuSTgRabaYDBAKBSC0+kU78aSi9frha7rqFaryGaz+NM//VNphWM90el0IhQKYX9/H1/60pdQr9eRz+el3GG324XZReH+ElV1u924d+8e4vE43nvvPei6LsbwMInH4wgEAohGo/i3f/s3fOYzn5GSIBF8Aqf0noxiPB4PJiYmYLVa0e125Q5+/etflzvPZw6Hw/D5fHJfKpUKSqUSisUiAEgTBkEm4i4M0wm+ejwe+Hw+AZg+dumGLBO3241IJIJcLofp6WkMBgO4XC6p2/EwGQqyhMHCc7/fx+7uLs6cOYOFhQWxnsAjcvrCwoKE3JFIREIkXmJSGhnikknFso6u61LOIdI2akmDzB1C9nNzc8IDZicN67dEmVmOIvsJOKg1t1otqKqKF154YaiNjCBLLBbDw4cPkc/nsbKyIugf0wHWao0sGCqpw+EQoojL5cLc3Bxu3bo1comKxo61xmAwiFAoJAQCAELvA/ArXoGEkcFggP39fQSDQZw8eVKofWxG0HUdy8vL+OCDD6BpGqanp+F0OlEoFFAqlcR7G3m/xCRIxaMDcLlciEQiyOfzI62R3jEcDsPr9WJpaUkYUz6fT7w7yfjERrxer1QFmJqUy2XMz89jenpaWteI9Nrtdqkdnz59WmiSTqcTpVJJDL3FYhHaJgAp9ZAI0Wq1YLfbEQ6HJeJ4khyqrLTsNpsNMzMzEu6yWE7aW6VSETYNgRJC2GwPSyQSePXVV4VTCzxqtev1egiFQlBVFRsbG4hEIrBarRKKGul9VCBuAtEzeodIJCLeblTObLvdFvDl3LlzuHXrFi5cuAAAEhmQjcSiOD08Gw8CgQAURUEymcTs7CwikYh4JZZnWB6YmprCw4cPMTU1NVT4p6EjBY0UPn4va3Uk98/NzQl5YhRhNAQchIRut1v2MRgMSohKoj/rn06nE51ORy5Wt9vF7du38a1vfUswC4a7bOyORqPwer3Y29vD1NSUKDsjFiPBxMi55t8HIJGM1+tFIBAYCeGvVCoIBoPQNA0vvPCCRH4k1DACYk8xAKH6kVZKquydO3fwjW98Q3TBmG6QD0CwbHZ2VmrGk5OTQ80uACR8pkIzQmHpiqy3w6LBQ1vkuCAqoMPhwN7ensTidrt9yOoz50okEgI0mUwmfPjhhwgGg+IxWbslUKHruhSut7a2UCgUpDwBHAAbgUBACucMI2idg8Eg+v0+wuGwKCsPZBRhfm0ymTAzMyNkD7PZDJ/PJ0aBxom5OllI7OrI5/MSQdDLaJomBoUsnWPHjkHTNOzu7g6RSaicdrtdDA73yuFwCJhFVJgXaFQGEyMIGsf5+XncuXMHFosFbrcbbrcbHo9HzpXtjMViUYgEnU4HN2/eFKTeWIdn+kHPv7Kygps3bwq9kQbP6/UiGo0iFAoJaMWmDObkmUwGoVBIQEdiF0cJKZkWiwULCwtigBj9kXtNrIHcYNbDuZfvv/8+vF4v5ubmZE3GEtJgMMDExARWVlZw//59iQx4ljSuXBv1hLm80+lEpVJBJBKR0LjZbB4aQRyqrAQ6aG2OHz+O9fV1FAqFISocw00Wo+lxOp0O1tbWkMlk8Pzzzwsqxr5AXl72oZ45cwbxeBzXrl1DrVYTmiMvsrG3kJ6cdcJSqYTZ2Vk5DKvVilQqNdIlBh6N67DZbJibm8POzo5Ye6N3ZCGdCks6Zrlcxt27dxGPxxEOh+VABoOBMHZo5ePxOFZXV1EqlZDNZmUEirHoz5CTzQDGyRL5fB6nT58eQsJHEbZ3MZdaXV1FPp9HKpUSsIsGgVxYNi/Qs25tbSGbzeKzn/2seAKj4eaz+/1+CQ9v3LghqYIxLeBZ0as4HA64XC5MT0+jXq9LXZlN3NlsdqR1kv1FQGltbW2oAYSenHtHbjbTgYcPH2JrawsXLlwQ48J7TkorcFDTvXjxIvr9PnZ2diQPN/bvkk9OEgUAadDY3t7GysqKRK/NZhPlcvmJ6zo0DGb+wktGKD6TyUi3BS2XcZOotAzlPv/5z2NpaQnAAcLITo79/X00Gg2xMlNTUzh79izu3LmD+/fvIxKJCAeWizfOb+p0OqjX6+j1evD5fIhEIpIrGHttRxFylU0mExYWFvDgwQPcu3dPcgtjLyQPmKFOqVRCq9XC1NQUTpw4ISguc11j2Mc86eTJk7h9+7awtqLRKIBHfbT8DiLhRBHJHGI4SY81ijAt4b54vV5Bu+kZjMpEo8R8m7TJixcv4sSJEzCZTJLu1Go1JJNJYZw1m03MzMzg1KlT2NjYwN27dyV3BR71kRpH5LCfli2FkUhEjCHR1aOETQT04ufOncP6+rogt0wbeI5ULnKas9ksGo0G/vAP/xDHjx+Xc2R+SdopHVkoFMLJkyexs7ODYrGIWCwm6R3TAiMwxWcEIA7w8ckRT5JDlVVVVeHwsogcjUYxNTWFer2Ovb09QWl5kAw/aaUuXbqEM2fOoNPpYH9/H6VSSepL/Fy/349CoSAKe+bMGfzLv/wLNjY24Ha7BVCiF6YVJz+VF9jhcMhGHtV1bxRuKi2g0+nE2bNn0Wq1sL+/j83NTanF8fIw32JHzZe//GWhxpGZQmVLJpMyDqVWq2F7exsTExM4ffo0UqkUfvnLXyKbzUqoy0PjJTGbzahWq4JyklBByuOoOStRToJUADA1NSWgSzKZlNY2Y72cPantdhtnz57Fc889BwBC8jCbzajX6wIeeTweKfuQ1HLz5k0xzDRiAIQ/a7VaJS9VVRWrq6uCiNPQjQKkGXt0FUWRmUzsZX3w4IEYPRoi46A0p9OJr3zlK5ibm5PmC6YAlUoF2WwWg8HBPKZEIiGhsKqqePfdd1Eul6VezGjMaLQtFgtCoRDi8TguXLgg/49p2P8T3ZDNx0ZrQu8wOTkJTdPkoJjH8ZAdDgdWVlaQy+Xw7rvv4urVqwCAr33tawAOuMeDwQCBQAD//M//jHw+j89//vN44YUXsLy8jFu3bslFNPYzEnafmJiQ8gM9LcPGUfM44OASs0uH9EGi4CsrK3C5XEgkEtjf3xfKIwEvEj/OnDkDm82GarUqHGIie+wJ5ho2NjZQKBSwtLSEkydPYm1tDQ8ePBCOMdfIPJKlkHg8LlzoSqWCWq0mbVijiHHyhbH+y/a/x8fK5HI5KSvV63W4XC6cOHEC3W4XN2/exLVr1wAAX/jCF6DruvQ0u91uvP322xgMBvjiF7+I1dVV7O/vS2pjrL0SDwgEApiZmREklwgqjaJxesZRwhCXQCbxFobc7JeuVqtiVIlir6ys4MyZM5KirK2tQdd14QqwFzsYDGJrawt37tzB6dOnsbCwgEwmg3fffVd+x5jnMl0jrrKysiLdP4xMiUY/SQ5VVuPYEWNeRNCEeYZxiBRbqgKBAEKhECqVCm7duoUf//jH6HQ6OHPmjFi+VCoFv9+P7e1tXLt2TXi0rHfGYjGEQiEBWrihBFx8Pp+AELT+DFOY54wiJF3TY9JAkOBhnLujKIqAMF6vFzMzM/D7/SiXy0ilUrh+/TrS6TSsVisuXboEj8cjUwpYvrhy5QqcTieeffZZPPPMM+j3+5ibmxN0lt6U4aDL5RImmMPhECtPAsWoDQvGc6VXpifinnq9XhSLRclf2VgfDAaxuLgIXddx/fp1/OhHP8Lm5iaeffZZUSIOiLtz5w5+9rOfCTj5uc99DqqqCpBCRTSSJmj02I3DXJllLDqKo4SREUssJtPBED4aZJaKmMaQImi1WoVOm0gk8O677+KNN97A9vY2zp07h1deeQWKokjnUrFYxE9/+lNks1lsbGzg5ZdfFpCT0xWNlQQi0ryzzH1LpZJ0CjGyepIcesrG2hAL3wxl+PNMJoNUKiW5lc/nw+TkJKampqBpGnK5HCqVClZWVnD27FnY7XYkk0lR2HQ6jX6/jxdffFFCu93dXXQ6HUSjUWl1ohKRHGCcoWOz2ZDP51EsFqVf1NgFc5TwYlKhyGDi5IpUKoW9vT0hOLhcLszOziIejyMYDAIAEokEHjx4gO3tbcRiMQQCAfEGtVoNlUoFbrdbpkL0ej2sra2h3W5ja2sL58+flz5TI+HE2LBNkgjPgaHpqML0o1qtCmjF8I+INftm8/m8zMWKRqPS15vL5bC7u4tQKIQXX3wRbrdbOmlIVaxUKjhx4gTK5TL29/extbWF/f19xONx2W8j84dlOvb1kuZIIJNA4yh1c67LmHMT0GGKxukfLCX5fD7MzMwIS+zmzZt4++23kc1mcfr0aayuroryFwoFBAIBqeP7/X7s7e3hww8/RLlcRiwWQyQSkfvHEh89JmvlnJqYz+fFu9KwPEmOBJj8fr8Qzmu1mmwyUbatrS0Eg0EEg0HU63X4/X4Zi8EWqOPHj0uNLJFIoFwuY3t7G9lsVkITp9OJaDQq3oLNvGznajabsshisSh1TXp9hi0c68GRJaNeYq/XK6wVzoIaDAa4c+eOfB7DFjJ5iPDyAk5OTgpZpFQqYW1tDcDBlMhqtYp0Og3goIXO7/cjnU4jnU4LlZPAmJH9YjKZkEgkBA8wgjKlUkkmTIwi5XIZfr9f8lEAwhADIF0imUxGjK/H48HCwgIikYiAR/Pz8wiHw2g2m2IgS6UScrkcms0mbDYbTp48KdM80um0gIXGaQoEVlg7ZujYarWQzWaFDsiIaxRihN/vh6IoYsg4v2owGCCTyeD27duo1WoIhULicdmzzYqDxWLBqVOncObMGZhMJtRqNbz99tti2G7fvg1d1yWc5TPys1gF4D/ECgiocl84IYUdZjQwT5IjSREMu+gdfD4f6vU6isUiUqkUTp06hXw+j2q1CrvdLlaEUwOazaZQ0zi7hs3MBCAASCJP5gpzTl5akgcYfmezWQGEGCYxFOZFHNXrME+rVqticAaDgTTWh0Ih7O7uSqMyR6mQWM4u/2q1inK5LAamWq1iY2MD2WxW6GUsKTF38/v9Mt+I5RFjFOH3+xGLxZDL5ZDNZiWsJhmFIN0oQi9jNpt/hUlUrVaRSCSwt7eHSCQi3p17wfIOzymfz0NRFBSLRcnjB4MBpqenUavVkMvlBFegISPfliN72PRgLE0REaZBYXcOy2NHCQHIwWCAUqkks37T6TTW1taEjcW5S6Q+5nI5MR68b5yX1O12kUwmsb6+jmq1ilAoBLvdPvRWAtJtacAfJ0WQC5DP57G9vS08bfb9kgn4sXNWTjngeAw+AA9jbm5uqCe1VCoJz5GUrkKhAJvNJmFgsViUy8vfI4jCLodoNCpAkdvtFktMxeWIjkwmI2NIOKAsnU7LoY5KNyyXy4jH48jn82LddF3H3t4e7Ha7TP1TVVXaAdlATTCKo0yazSZCoZAgwb1eTzwya2ocXcOD5tydwWAgqLrJZJJ6dTwex+zsrAzkoveiRR/VKBnR4FwuB03TEAgEoKoqqtUqisUiLly4IGQNl8uFWq0mHk7XdRQKBbRaLRQKBYkOWq2WEEY4IYQIcTwel3vDaIWpBnDApMpms8KpNU4nrNVqMkCMmMJRQtyBUySZc29sbMDv9wsAyG4fTnpkh5axstFqteByucRgkGZKOq0x3WITAhWQXpigHgk3i4uLSCQSKBaLgoMwMul0Oh+/n7XT6QjdL5FICBGCs3Xq9TrW19dhMplEQWjZ8vm8bA6HmLHTJp/PC5uJxGqGmRaLRUo2mUwGi4uL0qDNsCIQCGBlZUUOL5/PSx9oNpuVRu9Rw0OitOl0Wuh33Dyr1SqIIScf0LgQjCGHmaAWQ3GWdjhRnhcjFAoJqEVF5dgX0v2I1PKz4vG4XGDuMfP9UeqPAOTMer0eNjc3YbPZBDvgBJBEIoGNjQ04HA6kUikB97jHbJAmIYP7EgqFYLVakc/n0Wq1pOa9v78vBmpycnKoMYLN7wsLC7h7965EKMwPE4kEtre3Ua1WpVniKGHou7OzI3VtNin4fD7kcjm0Wi0kk0lBrvl2CAJSLKMxV6bRoFcGIOGs3W5HuVwWL1wqlRAIBGSqIgcZ8H4vLCzA6XQK3ZR7byQBPUkOvc18FUEulxMFIwhUKBSws7Mj9TRN08QLapqGYrGIcDgsRWryLrmZrO1xShwL6ZyYx4R7b28PwCMEk6+LYDMzx6XQW/DFUEzsR5FgMCjlKebeAGQdvICtVkv6WRcWFmQywvz8vIBm3W4XOzs7EsZ5vV7pBKIRYc+i2+1GpVIR7i0vzGAwkPVzAoNxEoPX65XUwthydZTQ89Fjs/GBeWShUMD29raUatinWa1W5XuN50YlINWUP+M4HhINjHOK6d2pkIyeWOKjdyEQVKlUpAowynmGw2FkMhmYzWZ4vV40Gg2JynZ2drC/v49Op4N8Pi8dZJylDDxijtEY8dyNQ9i4XwBk7bVaTd7qQGyB4TC53Ol0WgbLlUolaZdMJpO/Usb5dXKosjJPpDKw9MBQgg/DIjNZKMzLOPaEikiEjzxJI7EAOPAuXDzHlzA8slgsyOVyCAQCcLlcuHPnDkKhkIRJbBpvNBq/Moj6KGH5wmiIWMvkZzPMJajF7y2Xy9LWxTyQXoMgivHACSIxrObhdrvdoXGljEYACBCSTCYFuKNxGbXjBoDkze12G+VyWabt8aKl02mkUikBdDg2tlqtCkeYJAJd1+X9M1wH2WzsWCEqSlAyl8tJmMcGbebhTB2q1arUQtPptOASRq74YUJEleBYPp8X5WQtmGdZKBRk3ClnTen6wYziVColoB7XSWdj9KClUknKQQz/+fusJpCLTUIFjR2jhkqlMvQyryfJocrKC8c8oFarCRzu9Xrl0vAtcfQeBEUIbUejUVSrVRQKBQkHqCAEnIrFooTczCd6vR4KhYLUn5LJpDCEaJU5FqXb7QoySu80as5qJNOT7sY8mR0/3GSCPmy2rlar2NraEg/l9XqxuLgoze/xeBw3btyQXCebzWJ7exu9Xk/WQ05prVaTCX+03KQu5nI5sf5UZiP9chRhr2qtVhuaUevxeCRd4VwkAk+3bt2Smi6515VKBZ/97Gexvr4uY1N5EYmqE82lkafRL5VKEk4zTF1bW8P8/Lx4UgDSG8qwk6DaUUKwjK2A7DOlEpDEw7lYwMGwOnpgTdME9GPVw+fzYWpqStol2SpJh8B/M00jTgNA0iNGC/V6XTjrnKgJQPL0jz2Rv9frSUjj8XgkxyCSycnnJCmz4XtmZgbPPfccpqamBIHkgDTmBVRUvlktEonIAlutlhDMublE1Wi5ORyaYTWfg5aYZaNRpF6vo16vDzGBaGGN4Q1zWBL8JycnZfoDh51xDI3dbse5c+dw/PhxaZcLBoMy5IyDxGitCeVTUY21VZ/Ph2AwKBMQjQOj2fEzihCpZujKifu8XDQaNMB8lnq9jmQyCavVis997nNYW1uTPtDz589jdnYW9+7dw9bWFmZnZ5HNZvH+++/LxHqi/FwXJyEaWxzpZeiJGKEQpDHS9w4T4gvsTjLSZDkniSOAyHzTNE0mNbIBgO2OHN3jcDhkXjRLVryXjCwYBVLxGDI7HA4J58lNZi5tBKiOurNH0g35LhbG3kQI+f+M7Bdd16VhmJ6ITei6fjD1j5aEnomKynCKYy+JUgKQ0O9xShynLTAkJwrHsTCjXmIilbR+7Kvks3LjyS5h36LH45HxmRyUtbW1hVwuJ7nh+vq6/D2WPzhuk4yhQqGARCIho1AZfbCti88YiUSG8sFf161zlPAyk51E4G5iYkJKM7xABERoGC0Wi4w3efPNN1Gv17G6uoqdnR288847wsAi6MS0xuFwSHmPhHiWfTiZkuAZ7w1r9VQmdjEdJUTIQ6GQAFM0Quxi4t6zvq+qKmKxGBYXFxGJRGS8kNfrRT6fH+q4ovHwer0yC5sAVTKZFE9OA0yjTCXlOfLVNCRJkGp4GJHnSLiUU+14IQj+cP6RsXWLqLCqqgI+se5ED8jPYtGaLBJ6ZuYciqJI07HRygKPeLNUMB4m8KiTn83GowobAprNptTeCHzRqxq9GcNujprkCByWpHj5ms2mlGFYX6WlVlVV6tZcD702cOBBWVcmisuRNvwMll9GFSMbjMANyxJ8Vhop9g9HIhGcP39eymsrKyt48OCBeHqn04mLFy9KOQmATIFkKW9tbU1yOXpYoqSdTkfCTj4jQ1Ve8FE9K40K81ymcaQJco3MfzudjhhWdtyweYSlH0ZqxvowKyLsv+VQBI7EoR4weur3+wgEArLXTDHZlkma7cdGg43oFnM6ghQsmi8vL+PBgwcIBAISg1O5mD/SilerVQl7eZn5Hhdd1+F2u2V8I4GWiYkJ5PN5qQXSe7L/0MhUodHgwkcdJGas45K9ZAQ0er2DEZwEVkheYKkHeMQOInGDB03Qih6Re8gD4tBwktlpIIzD1FifNCoSve+o/Gfg0esT+TpGWnWCYwCE0mjswSRKubCwIKEcEerBYCCXl4bE6AUtFosAN7u7u1LSYB2e/zQajSGPw+l/RIuNxvowYd8qFZX7T4UEMPSmeoJpJFKwW4slLV0/eNcSAT3+jL9jbAkkWEreLxsmeJYszzDSNPKXCegdNqlypHfd+Hw+ZDIZgfoHg4FYSR5KpVKRkSfMcwiOMPQxom4EKkgH46Uk6EA0jUCAMUclSELFBB41NfNnVOBRhB6aNTOHwwGPxyObTwVsNptSumHJpd1uI5lMolwuD83W4QHxsrAsReUAIAgw18p1u1wuCcPphWh4mAoYAZdRw/1KpTIU2lO4RqYAFOIFiqJgY2MDdrtdwkSfzydGhOfOM+QZsdOFrDbOz+JaiTXYbDbs7+/LrCXjRacisaRylHBoOO8Kp24AEDohAHkPLaMMRnQk9pP6yJCc9d96vS7GmKmgsZmFymf04DTATB+N9X9jnZwg1ZPkyJyVRHnyHrkwviKDh87pDKxxEbQg2AJAFkiPykXxkMkRZUHayNEtFAriXXnpH6epMTwEMJRjHiXMt1VVFSUkE4Ubynm4nDhP4IB5HvM1ekA+Ew/COO6DhkZRlKHGfVLkaGwILj3O1KKnYGlo1HCfeRsBD44XZV5IpJPIPr0q5xPdvn0bc3NzUrwnLkAFzefzku+T1miMfDi6hM/MNKhcLsul5p7w77NsZqTuHbVG3qFCoYBwOCzYCHNmvtOH0Q0jQlYWGJqyHkykmIg/z5spDc+czo33t1arSVQAQJB7nj3TNxqRw9hLwBHKyguby+XkIpbLZSFGk1tp7IyPxWLY2dkBAGkspyIwbGV4RQ9Ei8aQghbdOJyMFpmN3Qxx+JxUTo6UZJg8irDlj4PfaBTYhkeKHFMC7gXRcHpkhvIEyPgZzEUbjYZM0uAlJpxvBCAymYzUismA4UVl/sNLx4bmUYSUQBoQglc0yJqmSbjIi91ut4VcYOz0YcREgIpRCA08Q04aNnoQlv9UVUUmkxGCBwBRWnJ0uU6G3qOI0VASRGLUx3lajIgI6pB3zO/kwG56W3o7nglr08x3Ache0NCxHEhPy0iToTTLRGxkIS/4YzefU3hBjP2efCh6iV6vh+npaVit1qG3w3GSBON7holMvB2OgzeCM0fhvB9aWAJZwIHys7zDzzF+Fq0T85DfpM+T6zOyVDg4jSM5aW3ZeZPJZIYI4cy/CWhomiazgY0IJOF/coTpQQn5sxTAnJXhLj05KYBMOUah4QGQ52YIaLPZkM1mEQqF5AzD4bCUaXge6XRaQrR0Oi2XnG88s9lsUg8fDAZC2Gc/NM+D+5fL5WQgHL0OQ3kaXBoOhsAMm48SRlvkohuNYa1Wk1dJMs2Jx+PY2dkZejs7jZlR8QEIL5z7zggIgJB4eM9517kWVjMASKrBO8vGAqfT+fFz1larNVSU5kPR2pLYwNIGcND+lUwm5X0p9Xodk5OTskhuABN35mt8jSAL1Tws0gcZ3gCPLi0VgDN3GVoRpR61G4Xfx7yCm8z8BYAU+I2kfE7FIBjFojkZSkSR6aHI+TWCFjxcAJK/MqpgSEaF5dAuYyhpPJujhMALIwXWMxnuut1u6QCi8bJarfKmexotPjtBKeNLmjmGFsCQJ6HC8ftpbLinNDr0zMAjxa1Wq0K+OEpIebXZbHJ/eSYcTVsulyWXPnnypBAxmC/TAfF5jVEcUyOG7MZwmaCc8UwJPBKPoCNyu93ihBhaW63Wj5+zGkspx44dG0rAmSz7/X5ZuHFDeBgsMDPeZ9cOw2MinIFAALlcTrpYiBpqmia5MpHGWq2GWCwmpAmbzSawOC02kddRhIPFyUulUaEHY5sUEepGoyGjNEki6Ha7EkUAkEvJ52s2m+JBWeIgWs5QibkQ94dW3uv1CkIaCoWQTCYFzR3V48iBf+RBW62WhIWMTHq9HjKZjJzFiRMnpOuGnoRhPlMiliFokJiSMLQDHoEuAIYYYcAjqif3iefL+bnlclkUfhQhC4hhN+8eI5ZGoyG1f657dnYWxWJRwtJerydUSd5rphB0MIykzGazfB95BcQzAAyNo/H5fOKcWFExRkoAPv7cYHpEp9Mp77cEIBzWWq0mNDVOayBBmVRDbhQvPV+NSFCCY0uM7UrMAxlyM09iIzyRVpfLJd7QCGgYc4FRhK/D6Ha7WFhYkBm2xo4Klh/a7YM357HGZpz1xDyeRABeWCq+MT9h/k0vwJzGYrFIrsyaLy04ubMEm2jtRzVKBDPovXixSfAgbkCyhd/vF3aWkdNLAInpAj0kWTw0QHw1CHM2I8WRVQH2+BprtEtLS0L7pAITAT9KuL+dTgezs7NizAgwkRoLQF7RQQKOxWKR9zkRGWflgkQYY8WBvcVG0JXNDTx3DgxnWyNTBSMPngAW79eT5FBlJWLr8/mkpYgoJeF3JuZ8kTLDWAIzVCgqNK0VW9B4wYvFIlRVlelwrNURQeQFUFVVWD/8b14+gjf0tKO8yAiAvAaDf4fhSi6XE4NBxhU9BAeiEWDgy554ycnMYSjL+UnM84zIIPDI+xB9pRBAYhj1OBuGf2fUddLIcfQpc61SqTQEGDHy4ftcjEaJM5l4+VhL5Z+5n1QUelqGehzhQqCHCmusyxsrAUZyxFHi9/uFpEKeMptNjPV+3j02fvPsWZ/neskNYLcXG1U4z5iINqMOAFKy43oJPPLNBaw+0IAzVTJOrPx1cqiy8q1ZnBRO697tduX1dJzvyrYvvs2cIV0wGEShUIDFYpHXJDKsIArHwzB6YL7mnWEtrc7ExMRQfZUoLS2UsaTwm6DB9HTpdFo6LYzvsCkUCmJ8qtWqvH2Mg76omBw3Q0WmgWPK0O/35fWKLKDbbAfDrql4vAAcpcIIhCGokQ88ar5KsVqtmJiYkKI838tCZeCFZJcMFY3GjK/j5EvBOEXfWFeNRqNiNL1er0QAbM5mnzRxCObwPEvmz7y8vMiHtY9RqOh8GRWZTGyCIN+azSGcXMG7BhwYMIa7AETZ2RBAbIFpG8N6o9Eylqf4qlLeSRpIGg8aQ+rWk+RQZWUow0VydAd7Bdl9A0CQNl3Xkcvl4HK5pDhNFI3oFxEyWnIjyZsIHj0lwyuGpXa7HRMTE1Isp5LxstHT/SZ5DtFr1tsIrRMk4rr4gmgAMqKT62CkQWI+QSZjmaZarUpIzTIHi/8cV0kP0+v1EIvFhsI/0uB4wVnWGLWeTMCFLDEaYqYNrVYLxWJRlIZW3ufzSfpCIM3ocVgr59kyp2XjPqcaUunZSshpg2S9sb7J6ILAEBV8lJlaTMsYuXH/qGCs/UciEdm/er0uwCLnFpP0w3nW7KFm/zTBQ+PzEUXmEDgi2XyFBpvVGVHxfjC8BjAUwTwuhyqrseeUykDSN8NRMno4mZ08Tw68TiaTQsrmkCoAomyM7ZkD0UIxfGEdl143m83KJSLli0Vpo7Lys0YVY/uZkZ3FN4/x7Wb0ArSwJGuzFslRqLSQxnY+roM5P8ELhlT8fhpCt9sto1iN84ceNxC/iXD6I5WMnoyGkJEMADlXeicqENMaej56sFbrYCphJpOByWRCoVAQ78R8kLkh67jBYFDQYnolkvkJOhlz6aOEdVXeHaZvNptNUjKWbRjSku/u8XiE7KBpmqQNNKLG/mFWGxhlENmlAaAXJdGHYBdTGN7hfr8voCwdz5PkUGU15l9ULsL7FotFhmxzCgQJCQsLCzIYqtvtYmZmRsLdxxvCqahcKGcyMewh2Z3hBnnENCDGEI4hJuHz3yREZH7OjdR1HdPT01IaIshA5arX6ygUCpibm0MsFoPJdDAU22q1Sg5tBJKYc9IzMndhmQh4RCLhRU4mk3KBqbBGooiRFDKKMD/jMDB6aEZHDodDmgKYanCkCY0zf8ac3libZhoCPBpWRwPPiIEelc3WfFcO0VkAQown2Pab1FmZBjFqobebnJyUUJ7UUXpGvvbiwoUL0r7Ht6ATwaXwGYhf8F6SVQdADA/31zjUjuugEWTqAUDwhCeJcpjbHctYxvL7I6MX6MYylrH8TmWsrGMZy1MiY2Udy1ieEhkr61jG8pTIWFnHMpanRMbKOpaxPCXyfwGsoTL6oOwehgAAAABJRU5ErkJggg==\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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lPiRJcmq/Uvdz9TQHwYB6vS7jMmwfMgFjHOZ6mHDo/jOHDMbj8crtwqOjI1nni8KQLuv0PJpWYO0BtAvVpRJzjiiKEARBgcfyPmvSIz+6dGJ360V0pos+OjpCHMfSpgKKGScZ0RkiEx8C6iTtStjoH4/H2NvbEwybNfByuZQpCAL2us+qG/5sM/JfjsWs2mgAgF6vJ8nKaW6a78lneTaLWSy9FDeezQNi6bxHpVJBFEUYj8fwfb/QM9ZumIakR3B1CUV+x+MXn0w9U8Bsj3HYTTcQKFygODxHBnVNOpvNxCU1m0353O/38fTpUxwcHKBarcp9qfHsuWpPwY3IskzCgJ4R40zVZDJZ2UV///33SNO0gF+f5vq0S9aNfzY29CgPYdZer4e9vT2pcdn/Zh84jmOBSGkUukJhj12HPAqaAj53w58tNy5ITwrqjT+tX6s7HnEcY2dnB7u7u7h//z5M08SzZ88wGAzw5MkT/Otf/8LGxoYA9QQ02LLT8ZpNf+Lg2tXzRdRp1Tr40aNHCMNQ0DmdKJXzDJIegQWOM/cgCATJCsMQh4eH2N3dRa/XQ5Zl6Ha7hfDGEEMXS0SQggVOKgUdFvSBAU6JnEvAtAT6fNZ/uiQquxAyzY6IaZqoVqvodrvS7jMMQyYV2RakwLhBtJIsy8RtcsSnfE+6ag64EdddtV34+PFjBEGAbrdbgBl5Lx2GKFh2wYiCzWYz9Ho9weQHgwEODg5weHiI/f19DAYDzGYzbG1tATjJrgnUcACPLl/zqS2X3kqDPufuBx8dHckEAi1YC5mapmejmb6X55K2t7elAxVFkcSYWq2G7e3tQjtSz3Jp9IahQscgjXJRwExcVhXwkydPcHh4iLffflv4LJdAZaUyDKOA1tXrdWxvb6Pf74vFpWmK2WwmiBenKdmepPUzQdWJXHlYXu8xr69/fi4Bf/PNN1JCaGKs0ciO7q5o4QLHbs51XaytrRXis+/70v9ljCeey7EUfqbF0L1RoLRenXRo97YKZVmG/f19QcB0Rq1zCloOrUxPRDqOg83NTVQqFUHW8jwXTJ7unxg0eQNOMHquhUpm27Z0rojYsQzVsfncIztxHOPw8LAAWDDJ4kV1vadhu3LBT1CDf8u2YxRFmM1mknGXj7swsdJzwuWYr2tiHa9WHXy3LAtBEMhm6TpTl4B0+0Tf9NEbwzAK2TQTpXa7XUhCWQ1o+JG492kIl7bSckmoS8dzCTjPcxleO6uopkC0Wy3Xj2ScrogbpGeUNDAAnCRvGi6k5uqyjD+n29JttlXIMAwMBoPCdQm8aPcMoHAERysejYBerFqtotVqSX7BrJt7Q09ApWRrVis3XbKuo8swcHmPX0nAhmGg1+vJaQX+TFPZYk/DrPWm0ap83xdgZDqdFsoTDUNyY8kkv0+AQbfiqM1MQFZ10aZpYjAYSHdGb6RWVB06KPxyhk1suN1ui6cj8KINRc9TU5h6f/ldCph8luHLl9GZAjZNE3t7ezLRpy2zjA+TOR6roBYyTnCWmEwuFgvJNKfTqSRXdF/8rLN13lfHYp2Y0Hrpzs5qo5X5DIIASZIUFI086XvT9ZZxcdbmTAbpAZIkwXA4FKydykEPoBWJuQmVWpeoOhErW/K5j64AkJNvb7/99nOtMd1tYUY7GAzQ6/VkcI61G8sYxkce49Ajpoxjukfq+75Mg+gpRiqJhi11pvkyxjXN53M5FcGmg3Z7VGZ9fyqShmY53kMBZ1mGMAwFxaLFkj+6c44XV6tVceMaCgWKYBL3XoR43m6SaZro9XrY2dnBT3/6U4kTvKHeQC6ImfBgMCicwOe8MGHKKIoEqeL1yAwF2Gw2cevWLWxtbRVO3GnLLbv/KIoQhqGUZ6uQbdsYDAY4PDyUhE83GDTOTAQqCAIMh0McHBzI0JvedEKmmicqoYYkLctCq9WC53nodDpYW1uTRJO8MnfR/WHSaTG5wNtZjFuWhSRJ8MUXX+CDDz4QS6JG64yaNW2r1cLGxgaCIBBGoijC3t4ednd3EUWRZNR0tWSEVg5AjrkAx6UDYUSdSVMIumTi4S7CqqsKOI5j7O7uIssyGUfSOQUtdzKZoNfr4R//+AeePHmCIAhw9+5ddLtdbG5uyh5kWYZeryflEGesZ7OZnABhWIjjGPV6He+8847MZ3P/eV+Sbh1Sac7dbOBNHj58iO+++w7r6+vS0qNQdDbL7DLPc7TbbamhOZfVbDYLJ/N0U4EdJSJX9XpdJil5TV30M97R7fP03tHRkbi5Vcsk4Lhm3tnZQRRFcsSG9ShwkvTkeS4TGGmaIgxDLJdLtNttedQFO2IMafQmvCZbmXl+fOaaw/u69CuHpHKpqr1WGIbnEzDj0bNnz/DZZ5/hrbfeKkwe6B5vOflgEsEEi08D0MkJBcVhPYIknMhstVqy+SwTlstlAbni+ziOxUqo3Wc1wstkGAa+/vpr9Pt9dLvd59w7r+U4Dra2tvCLX/wCW1tb6PV6sqYwDEUZtfAXiwWGwyH29/elFzwajbBcHh8h7Xa7uHXrFq5duyaJIb1bWaC6YmDec24B69LnL3/5C37+85/jl7/8JVqtVqEdqAXLRRG1oUYSI+YBLJ1wETwwTVMeh1Cv12XGSo/llGe3GHeJ+VKrGcNWIXZjvv32W/zzn/8URQZOYEPuA5NAPs/j9u3bApHO53P0+30RAEsjhinuKRWXnmZtbQ3b29uFUx/cF91k0LzP53PJ0Dk0fy4BE1seDof4+OOPcfv2bekIaSvhZ615tm3LtCAzbVocB/r0YBuH1/UZIQ3sa4bJKDPVZ8+eySMWqOnlYbizBEzL+/zzz/Hee+8VNlsDPDomc1Cfz+pgDR7HcaGcY/lD6JENF3qttbU1yW8I0tBSdcesrNhxHGMwGIjyvLKAGVepPX//+9/x2WefYWtrC51ORxIZMn/alCWnBnmWlT+jddEyNIQHnGTp7J8SKtTZKJns9XoylUFXdhrg8iJimKnVanj48CG+/PJL6SzpbJr/UugUNGtf5hDsZmnPw1yDe8D4zDKJiqZrXd1B0vDlfD6XkDQcDs/fDyZDfCVJgj/96U/48Y9/jAcPHqDRaBT+ltgshUIt5llWMpYkSWF0VM9ZlxvfhPQ0BsuMmxMhu7u7Uk8z43wVAeu8YTQa4ZNPPsH9+/dx7949QZzKA/u6Tmbvmg+K4Vp1XU7h02j40t6KOQkNR9fCuuHBM9r7+/tnTnO8VMBl1MqyLHz//ff429/+hvX1ddy5cwf1er2wqeVjlPoaTJ74NB39SAPduaHQdUJRtl4e8n769Gmh/UgPcdq88iqCrtfr+Oqrr/D555+j2+2i0+mIogInCQ8/8166r8tpEt3e0w0Zvk6Ddqmk5FN37BjigiCQgYkyHvFKAi4LyTAMaWw/evQIhmHgxo0bcgKPLlVn1zqO8zBas9mUvq1OtDS0yfeMWTq5yLIMBwcHePLkiWSQGhMvj5++jDSPPLn46aef4mc/+xl+8pOfFJooWhDkjeeymF9QKSk8umB9/ESP5mgjcByn8MwTXQ7xST37+/sy8Wrb9pnl4EpZtH5vGMfP6RiNRvj2228xnU5x48YNOSpy2tNtKGwmZXRLPLWg22H8G5ZPcRyL2+PfDAYDwcipWCzpeN5HC+1lpBWSAvnmm2/w0Ucfod1u486dO8K77nXTTbOhbxiGnPhnn1rPTJX3k0pDAIdVgsYXqNBExvb29qR3rRG3cwm4LCS++ACULMtkYG1ra0uyw0ajUXC5jDEajAdOjk8StyWOq5/iw4d0UoODIJDP5cYA4/14PF75EUrA80PrvM6f//xndDod/OY3vxFPpT2EjsvsMvm+X4i77JbpbhGBISqJdudasLoHHASBPCCOU50EQc6NRdMq9Ca6rls4y2qaJvb39xFFETY3NwGgcFPdw2UNzLktMsvZL24EzxzzGVg8WMZzurrtxrVRmbS1rApVaovXwlssFvjkk09Qq9Xw61//GtevXxe3rEMQyz2N7pHvVqv1nPB0nUsB6vlogkPMyKMokkcdarBIhHheAVNYmhnTNAVuZPtruVzK5tPSarWauFtd/7K3zEXpoTkdd8MwlBqPYyq0At1k17NLem7rVYAOClM/aZbhJgxD/PGPf8T29jYePHggGT4BD70eEpNDJnzls0lUPCaOSZLIA9bG47F4MLpl/RhHrldDqWfxefW/rlxyunri+yWnKwFfcroS8CWnKwFfcroS8CWnKwFfcvp/UgCNWC8GTEsAAAAASUVORK5CYII=\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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cuHCB8+fPAyzw92o7STQhpmgYxsI8XZhatQoUC5EZXK/Xo9lsKh8WFwSUbydJwsHBwfGAa5qG7/v86le/+kRdXu2Lidmvra0p4lH9HkaASTem0WioubaYtwQpmY3JKEiWdFRkoCDnJfYIYZJr0zTlww8/fBy0J+dxXdf5zW9+w7e+9a2FAkEG7yJ1aSXLi0VAQjWl8Sg+KNoVDcmEU0bBEjyrQhYXkR4gPOz+Agvf40RRxM9+9jO+973vHQ+4pmn0+33u3LnD+fPnieNYlarCv6vtXwl8wqVFC+12W/lutXYW8NJYkHvErcSPZS9Vk9Y0TTVBqh3hoijY39/n5s2bx9O4YRjkec5oNOL999/nxRdfVNIE1PSkKukqa5L6WOZsUjZWLUVAiN9Xx7siUIkr1bZ2dX/yXgGdpik3btxgMpk8Ftvv9GVjGIb88pe/ZDAYKL+tRmbJvXmeq68YZDPVf1e1FobhJ5oaj1ZUQmiqTQ6pHdI0XfjqQmj1fD5nMBhw48aN409LZVOGYdDv97l37x4XL15UFRA8bO9UA5p0SCSwVYFIIBL/h0OO0G63F6I3PAxSYsKSqyWTiNsJP5evNq5fv87u7u7xixTx09dff51z586pj3wk6Ej7WfxWmhBxHCueX6vV1MBxNpup7+Pg0JLkPsnx1WwgViT3uK6rUpdYkwg8CAKiKGJ/f58bN26ogeOxgAN84xvf4Itf/CK3bt1id3eXS5cuqRJVNiozc2lBySccuq4r7iwf6kh8qNbaUpiICQsFlXQmWhczj6JoocEpn6IFQcC1a9cYj8dHavuJwL/5zW/yta99jVu3brG5uUmv16Pb7XLv3j1lqhKkgiBQaUtAiKvIIXS1GrHLslRajKJIdU+rgwrJ0RITfN9X5GY+nxOGIXmes7W1xdbWlkrDxwb+3e9+l5/85Cfcvn2b0WikhvGdTofNzU31vRmgfEzmY1JyihbTNFVFikTwatqT6k3Iy6MaEyoqJWu1lT2bzVhaWlIfKVUnP8cCbpomH3zwAb7vKx4s38QsLS2xvb2tGn+SWkQD4oNimlEUqXERPKSW1fncfD5nOp2qDwrgYZyRb2DyPFfPEL+2LIter6dcoDpGftx6/r+QnrX1HPiztp4Df9bWMwv8fwFO6IlE4WENdgAAAABJRU5ErkJggg==\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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\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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SyaTdu9/vm3f0fV+bm5vKZrOKRqPGKHwZig2nAGtEgYdcJ5PJaGtry7wp1GCxWFQikVC9XtfV1dXMHKN8w+FQ1WpV0+lU5XLZ4E8ikTDI2O12lUqlDCLCOKTTaY1GI6VSKW1sbKjb7drcSK8Tu3a7/eWV+Pz8XMVi0SwAL4e36PV6qlarCoLAFoyJ7fV6KhQKWl9fV7PZNA+bSCQUCoUUBIE2NzfleZ55FagclyKDmywUCsrn85pOp6rX6zo9PVWj0ZB0Tbn5vm8U2MbGhqLR6MI9BWtra0qlUhZC8Yi+7xtLUqlUbIwsDJBpMBhYIhSJRNRsNnV1dSXf91UsFrW9va1UKiVJWl1d1cnJiQaDgcECQm2/31e9Xlen0zHyn6QPWMF1oLIWHaMkNZtNgwQwTNCHo9FI2WxWm5ubNhfcO5FIaDqdKpvNamNjw6hQYAzR6uDgQNls1vB/p9OxtY7FYuagKJBwH9gQGKh53p6awleq2AENBoOBrq6uVCwWVSwW5fu+Go2GqtWqms2mHj9+bMq2tbVl7ASLTJsfGHB7e1sHBwfa3NzUYDDQ5uamEomEarWaptOpNjc3rXzt0ltQPigNHsydHMh3CgGLCA1FhDyajqTraERxAkVNp9OSZDTUaDQyTNjtdlUqldRoNJTNZrWysqJ0Om2ZNVRWo9Ew2AMN1+l01O121W63NZ1OlUwmjQECI/OMbvPUoopM5yG0WCqVUj6fN+w/HA51enpqpXbWbTQazYyb+1YqFUv4eB1Dy2Qylu+wVowVWrDZbKrZbFr+A/6eL0VDB34lTEyDiMtdUpkCbOPicf9YFpgqCAKtrKzo8vJSvu/r8vJS3/rWt5RKpQxTpVIpbW5u6unTp1pdXVW329XW1pa63a6R4yy0JKNo0um0sSeDwWCmSgbLsIi4PdFuFRJvDG6EBgJDUiVcXV3V1taWGRo8LkqDEZAo4dnOzs6Mo3UbYoBFPJdbcEHBaTj6MhwxAhWJR0ZxULB2u61YLGb4G0+IZ6Zf3G3ScZ2AJMP4JKroDYxMo9FQo9GwpjAoN5fpovWg1+vNtCF8Yf1uGizUh3StyHjVVCpl4ZuSLx4DbwKNViwWFY1G9eTJE7XbbVtEF5PhfePxuMrlsnzfNybDzXLxrnjfeDxuioWlkpS4XVq3iYu9SEJZiFgsZpyvW0Ydj8fKZDJKp9PKZrMKh8NWMu71eublGKfbSI/xlUolxWIxC7coMwaOJ5xv7cRQPc+z5HMRcelK/s9c4unJI3gm6D6cBJgcLypppquR6+KZLy4udHFxoVgspkKhYHUFEj7YLeCGW/CQXvfX3JS83qjEuHTCN8nZ6uqqksmk4UdCKooUBIGKxaIlQ7VazSpNGxsbdk1APv0Wjx490uPHjzWZTFStVlUsFs0rZTIZ8wRMvDTbsCO9bi6RtPDigoXJuvEmKBwVSErfJCVBEJg3ajQaqtVqVqFaX183JYYygqONRqMqFAqqVCqmDCSPKKjbSO+OLwgChcNhUyrK0osI18WzwjzE43GlUinD6JSQUd5oNKogCEyBSTo9z1M2m1U2mzUcG41GLRJlMhmjJUulkikuZXScAeyD25vNmOlfD4Lgq/UTg4XcXlhI/2g0aiR/Npu15IDQQBUO7NzpdLSxsaHt7W1JmmkOgjdcXV3VdDrV06dPjaJh0TAYvIcL/t3eBvAsE7aIuC2RdHVxD7AsSRoTznhR3vF4rHq9ruFwqJWVFWWz2RnWwG0nDYJAmUzGOt06nY55fag5txHG9f4oM9Fqa2vrS1FsXIOWAQyWZ8rn86a8eMlkMjlT8iY3CYJAa2trVtkjqrq9MoVCQZJMF1Bi+GLmxm0ocvMbIGkqlfpqFTusgYyRwdEyh7LQwCG97idtt9uWqJXLZY1GI21ubpqCo4R4BkqQxWJRV1dX1tFFmHPxudvDC65mwWkZdWv1twmGhAfxfX9GodzdCXgvcJvb0IPRzRsP4yRsYiipVMqMgMjieiO3X8ANqRQXIpGIXrx4oadPny40TpdSw/BJ6lzKz+3IQ+gg7Ha7loy5DU4uJ8/8QRkCw+Cl3RwAodLp9nZjqLQ1HB0dvXFcNyox1t9sNrW5uWmWAAHvun6sEEUYjUbWd1Aul2dKpLAWeATgAX/f3d3V0dGRXrx4YSGKxAHFkjSDh+EzQ6GQKpWKfv/73xsFt4i4sISkBmNzm9QJ70x0v99XpVLRxcWFwuGwstmsGZj7fGBMIAWeajKZqFKp6OTkRMViUblczpqjyAFcOAFGbjQaOjo60rNnzxbunWBNWSscAtCC9cED8jpecjgcmnNye0VcHeAZ3Q0RYHzK0XDC7q4O9AIHlUgktLa2piAI9Pz5cz158kSVSuWNY7pRiQeDgYIgUKPRkOd5unv3rh49eqR6vW5eiOQCLEcjDj0W5+fnVlpEacE6VKXcpBEP8ejRI/3ud7/Tr3/9a+3v71tXmOd5M14LTwnvfHR0pN/85jczNNltwmRjfPRH0FaJsqJYUIVAK7yS7/sWelEGt00RiOI22dARB+9NWRec67IGFAxQwmazaeF7EQEC0UlIhTOdTpvCci+3lE0UBtt2Oh3z1kBCtwmLCM0cSNfU4mQyUalUUqlU0tramnK5nNUNiKSMsdVq6dNPP53pmXhbon4rJsbld7tdPXnyxIhqN+vG66DY7gbRra0tdTodSwokGR6jYYiFdWmUaDSqDz/8UD//+c/17NkztdttK9UyIXgGuFWutWiig7iNLVA6zWZTz58/13Q6tUSEOaGfAkgAvp1Op0YTAUHweDAnfI65oFJIPgCeBK4xH0RF11vx+UWbgNxmGzwy1wIqunCNCABDwVY1Ej23jxzHJcmgE1QsPD4tmkBFcivYEXSK+7mFErdRfl5uVGKXM2UhXr58aQMF91A+JNOElopGo2q322b1LhSYv647cMj06XSq3d1dex48hOu1mSgoPvjpRZMdBCVGuUhcwbAuhqO65np7l7PF67q7HYAiYG6uQ+PNZDKZycChm7gG13M7zN7UcHSTuDQfXXMvX7605yM/cbcvMSdQo/DjUGJAJHcOaehHN4i8OEUKPhi0O06eC7g27xTfJDfOADfGWuBl3ZZArJKBwBC424fwmG7bZjgcthBFWx+HZpDJgvVWVlZmMDawAq/l4lnu/WVaFMG4rrdjXBRQiDgYEkrseZ7RcK1WS5eXl4pGo8pms0qlUspms1Yqpy21Wq3q1atXOj8/t06uQqFgEYTmJ7fd1N3WRGJN0WPRsaLAUIlc240QwCIa5PGw5EM4Gyg21zjdzjQ2SPR6PV1eXqrZbFphzHU40KuukcKM8Pnb1vPWnR1k/O5AJpOJZeDups/5GzNR7XZb5XJZ0WhUGxsbWl9fVxAEOj8/1+XlpSU3p6enKpfLKpfL1km2s7Mj6dozJRIJVSoVayPE87k0FCFR0sKYGMV3OUvCrbvQkoy3nE6nMztW+v2+fN/X+fm5nj9/bg39d+7cUT6fN0/darV0enqqo6MjnZ+fKxaLaWtryxSWMislbbYDAb8wdMYHZl5E3ATVbbYnp8ApufkB3pDGd5gIOG76Sai0VqtVgyDValXHx8d6/vy56vW6IpGINYe5XXFw3i7Ucdmw2yLOrYkdi+OGZ5eFwBuBq7BMPDWFitPTU3366afK5/P64IMPdP/+fcvOPc9TrVbT8+fP9fTpU6P19vb2jBum6NHr9VQul9XpdGwymDQaToA3i7ZiunylS/FgJCzmZDKxRqZ8Pm8bRPFOq6ur2tnZMSV99erVjNHCK5+cnFhfNC2g9OjOzydEP6+hdG4SvGjvBFHEpSXdZA7DJQEljPM3OuzC4bBKpZJOTk50cnKiWCymvb09bW9vGzvT6/VUqVT08uVLaz1dXV2doe/AumwadTcVoHskwTfJrRW7RqNhN5Neh15uQOISDodn+Ea81Hg81sbGhkajkY6Pj40qubi4UKFQsCSPfWfFYlEbGxvWPA9WYzLZ+0b/bi6XMziBoqPIiwpVNBJLGk7wCvNFB8ZGc4zbwHJ4eCjf97W9va2joyMdHx/r8ePHFq7hsR88eGDddjwzhiK93hhJ9HNzCTx2JBL5wo6Jm6Tf75undecIJsndn+jy7rFYbKaiGASB7t69awb/7NkzffLJJzo+PrZuO/jneDyug4MDra2tWUMZXp65p4JLxRcdc9knl86bl1t7J1BWJop6Ogvq9jPwf3fbEIuwv79vePb09FSfffaZgXo40/39fT18+NAoNBbUTeh4byqVmokOLv+KF3aLBTcJ0YPJelNkITkBv6NA0IxAGM/zxKF96+vrevz4sV6+fGlRIp1Oa2dnxzr1XK/IRlKEzJwdMOzMcNsU2ZGy6DgJ3a6Mx2PrHXYNgsTV7SkhoUylUjo4OLCeiFevXunq6so4ZKp5Dx8+VLFYVCQS+cLuDqIATVJQh8yna7iwX2+SWyt2JCbdbtcydagsF1cR1gh9LtYh6dvf31coFNLLly91fn5u3UnpdFp37tzR7u6uhSusk0nGUiWZt+d5eFbuA05cVIkpN+N9SOTItFlkt8MMas9tRiIhomIINUdpeDQa2Q5qFpCf4XCoZrOpy8tL69UAb9IrgdIy30TERRudUFSMh8jjRhp3HpkLl3nBi7N5YGdnx/qQyWWIVisrK1pbW7MkkXUleuE4YLooorktBW7S/pUoto2NDa2tranZbFrzezgcNvrEpT3cahYZKovGrt8gCHR4eKiVlRVVKhXbKoO3cfGQ9LoKxA6Hs7MzSdLm5qbtpeOwFAwKxV00xLK4eDgWCXjBxGKUjK9arc5sz2cbFfeFPovH45acYoju58HylUrFdjRsbGxY2HZP5GSeSTwJ2YuexVYul22DKdDFZV9cL888okR0J2KoeGnaOVOplNbX142pcPMR2AaXB6YRHnrUbZp3D4dBp/j7m+RGJf7+97+vs7MznZ2dqVQqWVcWDdV4JpgKBlqtVnV1dWXb9zc2NmxHBNu6JRkscLd6VyoVtdttS6JoFm+1WioUCioWi+YhwIV4M0KU20y/iKDE4/HYlNZt2EGhUGSMr91u69WrVzo7OzPvipeSXh8CiEFQwm80GnbKD88YiUR0cHCg/f1927/mcqfS6wogUK7RaHwpPvz09NSKM7AhJFgufUpnIQaJE6PCms1mZ85rBgrhqGjTpZ/E3XxKnwnQaGVlxZJaqrnoGPcHhrADfl5uLXYw2KOjI0u6oFZo+qEqgxfzPM8y2ePjY9up7HmvD9uWrkMTYRhukZA6HA6tVzcWi+ng4EAffPCB0TJgaVcIy25FahFhFzGKiDJCbUkyz8/mVrex/dmzZ5Y7nJ2dqVqtmoJSmHFDKbvA0+m0HS7D/rZ8Pm8LhzK557DhgZvNpmq1mjVPLSJs4KSVlvkj6WRt3MZ0qpc0KtGK4OYteHC36ulGULByKBQyGLixsaG9vT2Dj26y51YWXdqWSDwvNyrx1dWVUqmUCoWC+v2+nj17pkwmYxSaG4LxVr5/fZJNJpNRv9/X06dPdXl5adzi0dGRne+AxblFBBY2l8tpdXXV7rO+vm79x3hfwjwLi/fl95fZKOrSc643dflLPL97cAgQptFoKJFI6N69e7ZonOUA9idyUY1j3KHQ9bZ3FIPFxAPROcjeNnh3mp4WVWLm5uLiwiIgYyR3cft63f6Ow8ND9Xo9nZycqFqt2pzB7dPkxLOzrlx7fX3dnpWkd21tbaZ7jUorfTVEg8FgoFKppCdPnrxxXLemtfSEZrNZSbKtQjAQ1NJdZsJNuorFoiV4+/v7+va3v21hBqxEaMET4M1dMh1WhEXGS8GlUoDgevV6feEWRTzk/MEo4/HYxgeec7lkKl+0C8JewG+7nWDufrh+v2+FHu5BwkiPAqHUxc1EK07TefDggVZXVxdmJ1AoDvSjB4W5Zx7m20bZOs/JTOVy2Z7bTUjnD2QhyQUWYURucusmuC5XjQJz/T/96U9vPUfkxtHD1bJrmQviraRr108mzuISOsFamUzGwko6ndbe3t5M9k//AD2nHLI3n7XCkoC/XM6aRGA4HKper+v4+HjhVky4ag4j5NpAJLcKSMJDaZrF4iCTZrOpTqdjhux6dXIGcCKFJDhnEjagCPQb3gmPxF7EnZ0dra+vL1yxIzFnvThigPyCnMDdFIDgYWnA4vgFcp4PPvjArkUkJHq41Bvwx60IupVhIBjjHgwGuri40PHx8VfrneDss2w2q729Pb148WKGHnHbCkn2yN6xRiAG4B9SHc9Oxz4LTLl1PB7bgN0uJ3e7OBMLO4EiHh8f6/LycuGs3aX03IPtWERXSQi79A7MN3fjLSmzkni5NBaeliiTSqVsyxCLCNSAO6aM+4c//EGVSkUfffSRdnZ2jC5bRIrFotrttp1u6e6Udpkdtymn3+9b8ubumKG/Aw8MPAESkZCDp4lSdL/BusCwQO+58KnX66ler+vo6EitVmumGcyVhZRYknZ3d2dwHpUVSpK8L5PJWGh1+cRWq2XlRXoCCF0u/cL1CGF0PLlhBvaBAgBG0+/3dXx8rFKpZEazqBBS8ZQQ9ojbXeZ2edHhRWjmeWBZ3AwbXJ1IJGyTKf3HeF/KrRgqO61rtZr+9Kc/6ezsTNvb29rd3VUqlTIMu4hsbm6qVCpZ/zBOiEYrt9gwmUxmcD9/d5uIJpOJrefl5eUMPecqJA6JfXxscMDb8hzu/AEJOeWpWCzqwYMHbxzXrRU7OLzV1VWtra1Z1YYwOx6PVavVTJEp/6Kg0Gh37txRNBpVqVRSrVazTNe1fsJyLpczJgC6idAyj5fwVPRUlMtlI+cX7SsGK0qvG8Ddo2zdChlVR6pokszDcK1kMqlcLmeLgWG67Yectg8kYgHdLWCcVVyv1/Xy5UtdXFwom83q/ffft4qfm5/cJoeHh9any30ZF4IC4pQwFMbmed5Mwz4Ynk206IS7RYmDUqD28PDzJ8OjW7BUnJg0HA61tramra2tN6/fTYMmo04kEnr//fd1dnamyWSiFy9emGcBWriLzOHQWC69BjSAEG7dCpHbYA3JT0LkJkYoL7QTFNDV1ZWd0oNycZbubQIXjEcjjLuGwu4Nkjy3N1eSGWAikbDjcN1DCVEQ6XXVC0/L2FyFqNVqtqAocDKZ1P3797W3tyfp+ujdm06LnJeDgwNdXl7q6upq5u+TycR6mintu5Uy8hLpdSnc3VZGdHZ39cx/JQbFLJeJAgIyR7Tm1mo1VSoVVatVtdttKygBQedlIXYiFArpO9/5jj777DNJssQERXaPRqUg4bINhFD2wPEZBjNfJSKpwFLnWzxJnpi4UqlkrZsoIYfbLSJ4FrAfJ92AXcHybE9HgQm7wAoWzm3fdDvi2GBJWR7lJRegilWv121T5fn5uUqlkoIg0L179xSJRPTLX/5Sv/jFL+xA60XhxL1793R5eWlzKslKwsACkqper6dMJjNzJgZOiTFms1njtcGwRBUU1i1ju4bNuKEMOfsNnO32kezv72tjY+OtR/Xe2opJr0Q+n9f+/r51nCWTSZVKJVtIdiaz6G7TjnQdesBiLLjbvQUWRTnwSG5oxevipajwNRoNy+7H4+v9fDSeLCKUxZl8hLEQCVBGlw5yw+O8l3LpI5d/HY/HBhPAvGwCaDQaM7une72ednZ2tL+/r2g0qufPn6vT6Whra0uPHj3S9vb2wrBpdXVVBwcHGg6HOjk5sbEBcUjEmHuSwHw+PxN1ptOpKbhbL4D6xOEQwajIujjY/Q4WijAYMZRpr9dTLpfT9vb2jWt5a8VOep3U3Lt3T51OR2dnZ3YQ3qtXr2wh3UOZ55tKqJeTyJCdQteRraMsjUZDV1dXpkiUnilhosyEMPcYpA8//FBra2s6Pz9faHGBCPMy33aKEvd6PRWLxZkDAYMgMLyMAhN1WFgXMlAB4+A9zuZgbOFwWPv7+1pfX1culzMPdXh4aJXTO3fufCmeGCWeTqemrCgxx6/yPMy7u1XIxa40e7m7X1wn4Hrt8Xg8E2HY9o8Cg4E5twM9SKVSevjwoQqFgvWbv0kW2p7kedeHbcNNDodD/fGPf9Te3p4R3SweygYUwOJIFKBa3DMdsGLwEpsIgQucycb3eZANwyCsr6/r448/tuy12+3q6dOnC/On+Xxe9Xpd0+nUjnfleUejkR2OQhLCQgAvstmsVSjxuBD5kmYMAE+EAvNDOG21Wrbb4/DwUPF4XKenpwqHw9rb25PvXx+FSi8KDVCLSDKZ1NbWlprNpnZ3d2c2EgAreFYKP0RUogObPTnwxd1j6bZQuorPl+wQbTiAhSO/Op2OfRUCepFOp/Xw4UPdvXtXzWZTn3766VvPEbm1KZ7SIYA/nU7bhdvttj766CP96le/snNrpWsYwv4xQiQ7GcDK7qZC11NJskGCf1FoLLfRaCgUCmljY0P379/XgwcPjA2oVCq2JfxtlMy8wCzQYMI3+eDhMIZarTaTpBH+ms2mlaIZD5gTnE00IoPn+Co8Il4onU5rbW1NsVhMJycnkqStrS3dv3/fFpyKF60Ap6en+sEPfnDrOEOhkPL5vFZWVrS5uanJ5Po7Sc7Ozqy4g+IBCdzEC9zMlwph0OQIrvGCrcHX6AvXYF2ZA1oOdnZ2tLu7q/X1daXTafviod3d3a9GsUmvPafv+zPnYq2srBgt9t3vfle//e1v9fz585nGHLxLrVazk8TZVMkCz1dhYDgg+Bk8v/GGu7u7+uijj+ys5FKpZHTOhx9+aF+nsIhgnNFo1E4tIqEFK7v4lrPn3M2R0Gxk8cAIFlSa9ciuB8b7ujta0um0NcnAvb98+dJYkMFgYNuDOJ3zNmHfI62jwLtQKGTMk/vtp3wNm1ukQhH57PyJ/DgmtxoHlARzu9z3YHB9NMGdO3f04MEDvffeeyoWi2o0Gsb3Hx4emhN9k9yoxJlMRufn53ZINJ1X7XbbTqzE/X/88cfqdrtWHsR7uRiQChVbWGAvgBJukgc+dNsfodt2d3f1ve99z8IpNfq9vT1ls1lTmkUbY4AzfEnkxcWF9QaQWbuGB7wCgrhVRby4u9sD5XWZDrw4EIYDCO/cuaNisaidnR3t7OwokUgYXzzPJPA9J29b3HnBgOLxuHGu5XLZNiucnp4aHUYU5n7AQ47zrdVq1qno9ksQedwkjyRtOBzOFMyGw+uvx9jb29Pu7q7W1tZUqVT0/PlzVSoVpdNpvffee3Y08Nsqk96iuHEpS/lLlcW/rXApS/kLlaUSL+Wdl6USL+Wdl6USL+Wdl6USL+Wdl6USL+Wdl/8Ljf3e4sV8U/gAAAAASUVORK5CYII=\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", 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" ] }, "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 63\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 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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kwhdffKHC6C/9E5dzgbuuSxzHdLtdDg8Ptxb99YNKkyFaWsofoG2oSFjRAsIY2YLK+tfzPC2R6/Ua13W19Ak7wjDUVjTLMp48ecLx8TFhGKoKrLfOzw1c1rt37tzh97//PaPRiE6no94SaSmlpixLfVNC4rPeNcm+y/d9lZ31Nxwkw4txJUTEAZJjRMyYpsnp6SkPHz7UMgh8rYl6buCmaTKdTmk2m7RaLR48eMD+/j69Xo8wDLEsi9VqtTUVkf5Z4q/+SpisnQzDYLFYKMU9z9PDSksqsV2vDPWML13f48ePNbykt6hPaC4EPM9zVVGDwYDJZMLBwYGOlaqqUi8I9WezGb1ejzzPVcoK9YIgwHVdBSIrZTGOJKn6yEnySH1JIVL35OSE1WrF3t4es9lsq8L8VR73fZ8oipjP59i2zXA45NNPP+Wzzz47+/JXMSn7cBkXxXGsNJeDiKGkIvR6va0Wt66rJSzqG5d6cyIlNooi2u02w+GQzz777Gs7ufp05rmASyu6XC7pdru0Wi19v0TeZ2u32ypnhbbCBPGYZGrZjoi+lvImnwtFhepSAuUlI2lwwjAkDEN6vZ4uG77pvdULA6/PzpvNppat8XjM0dGRJrVWq6Xxa9u2Jh9pKkRjy5YzSRLW6zW+7+sLQlIW622rvFAkw8ooioiiiPV6TafT0X7g2emQsObCMQ5oGZpMJqqm5O3ByWTytZeBZK0sXpV310TISEafz+cKqKoqVquVTl3E+zKgBPQ9OilvvV6PnZ0dut2uanjJJcDXwufZ69W/QnrZrlfAX7brFfCX7Xppgf8ZMoUzckvZkZcAAAAASUVORK5CYII=\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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FDBji8bjgb2YQ/vu3v/0tTNNELBZDq9XC1taWQI9YLCbtI8uypAuxv78vG4cblim03+/Dtm1Eo1Hps96+fXsKBlwknufh7t27aDQa+Pu//3sMBgMAkEDQ6/Xkver1OqrVKkajEbLZLDKZDEqlkgQYFl2hUAjz8/N477330Ov18OTJE7x48QK2bYtPNBoNacc1m000Gg1ppYZCISSTSQCQIjocDkstksvlkM1m0Wg0pvrXqpzrxGtra7h58yZSqZT079g/JKYKh8MC6LnImqYhlUphcXERvV4PhmHA8zwUCgX0ej2k02ncuXMH169fR7/fx1dffYWvvvoKrusimUyi3+8LhDAMAwcHBzg4OJC21srKCqrVKkzTRDKZlAq23++j0WggHo8jkUhMDQfOk7/8y7/ERx99hP39fZimCdM0YRgG2u02AoEA2u22LGitVkO/38f6+jqKxSJSqZRklHg8Li2obDaL9957D+VyGY1GA7qu4+OPP4brugKv2u02NE2D4ziIxWLo9/uy8YfDIWKxGHq9HmzbFvjGn+92u4jH4xgOh7BteyY9w+EwbNuGZVkoFArSIUokEuj3+2i322i1Wjg+PgYAHB4eSgGWy+UQi8UkAl+9ehWfffYZdF3H6uoqrl27JnXQP/7jP+Lw8FCyom3b0rJbXV2F53k4Pj7G9vY2YrEYcrkcfN+X4MT+d7vdxtzcHJ48eYK5uTl88MEHr+/E6+vrEpFu3LghvUsqHY/HJWqsr69Lo9wwDKTTacTjcQwGA6yvryOVSkHXdfz85z+H4zhYWFgQfMjp1/HxsbSRGKWuXLmCfD4PXdexu7sL0zSxtLQEx3EwHA5FYU3TUK/Xpa+9vb09M5x4+PChFDfE+clkEq1WC7lcDul0WuqDTqeDZrOJ5eVlGY7UajXE43EsLi5KpCqVSlhfX0c2m0U6nUalUsHHH3+MFy9eSJ0QCoXgOA6CwSDW19enIlIqlUK5XIbv+2g0GhgOh9KuI2Y0TRPb29t49913Z3biSqUiqd0wDAyHQ/R6PUSjUVy5ckWc2fd9lMtldLtdhMNhycAAkE6n0Wq18OjRIywuLuKdd95BNBqFaZq4efMmCoUCDg4O4Ps+/uiP/miq1uEQJxaLYWlpSYrYYDCIdDoNXddRqVQwGo0k+n/++edYWVmRTPZaTpxKpaSqXltbE/yby+UQiUTEmTiESCQSkt6JMZlyU6kUNjc38fz5c9y5cwdra2uIxWIYjUZYXl7G+vo69vb2kMlkMD8/LxM3x3EQCASwuLgoRSYLyVAohFAohHa7LemLWAyY5m+cJ81mE6VSCcFgEKlUCpVKBZZlIZPJIJvNykQNOB3VErJwIzmOIx0TEo+YwbgZ3333XeRyOVSrVYzHY9y5c0faVb1eD0+fPpURd7FYFJwfDoexvLyMYDAoGygSiSCbzQIAIpHIzK1Ez/PQbreRTCYlo4ZCITSbTdy4cQOj0Qi1Wg3BYBCu60qUHg6HaDabGI1GYrOdnR00m0389Kc/RTablQ2m6zru378P27YRi8VQq9Vw5coVib71el2gZTweF4dmi486eZ4ncCQWiyGdTssmOisXcify+TwACO7b399HKpXC8vIyfN9Hr9dDu92Whj1n7JVKZWpkOBwOsbOzA9M0xYAAZHJ379497O3tYTKZSKut0+mgWq0K2Oem0jQN4XAYsVgMnuchHo8jk8kgHo9LulUJLRdJpVLB/Pw8hsMhrly5gsPDQ4xGI1y5cgXdbhfAKU70fR+xWAyhUAjD4RD1el3eCwBs28bm5ibW19dx7do1RCIR2LaN8XiMaDSKu3fv4re//S1isRiazSYWFhYAnBKtms0mgsEgwuGwRCS2ES3LwmAwgGVZWFpaQjgclqKSUWwWIQ9jMBhI645RMpfLodVqSSZlH556aZqGbrcLy7Kklfrhhx/i3XffRTQale7CYDDA4uIilpaWkEqlEAqF0Gq1ZArJliifOxAISD+ca1kqlSSyb21tIZvNymDsVXKu9r1eD8ViURyRijMyshK1LAuRSEScuNPpoN/vw3VdAKeOyj7qD3/4Q4ksHBUDp5VzuVyWSpbtOdM04XmeRF2Oczlbd10X8XgcV69eRSAQQLVaheM4/4KYcp5wbEv8yx4ne9ZMgyxOWJB4nid6EONmMhn8yZ/8CdLptBTChADXrl3DwcEBlpaWYBgGbNtGJBKR4k7TNBk4sJ3neZ5MRC3LwsLCAqLRKEajESqVimzkWcQ0TRQKBezs7OD27duoVqsS6YizVT4KACFXMe3HYjEcHR0hEAjggw8+QLFYlJ4y18ayLKyvr+Po6AhLS0totVrQNA2RSGSKAckORSgUmqLvcpSvaRoajQYKhYJkvFfJufmWXQIyxxKJBAqFwpSSKi2PM3HLshCNRpFOp6UXzF7rzZs3kUgkxFDBYFAe+oMPPsDx8TF0XYdlWTAMA/F4HLFYbKorEYvFEI1G5d/JZFIcnM7FLscsQmxeLBZRqVQQj8cRCoVktMzXOsuFZQFXLpcRDoextbWF9957DysrKxLhVPJOKBTCO++8g2q1KtGGNUYoFJoqKhkJQ6GQBAnCKeAlvo1Go1JQXSShUAjFYlGonLdu3QJw6qitVktagpymUvjehUIBnufh8PAQ165dw/LyMpLJpJCD6IyTyQRzc3OIRqM4PDzE+vo68vk8CoUCMpnMFJtN5SnHYjFkMhl5PXZk0um0bORXyblOHA6H4TgO1tfXcXh4iHQ6jXQ6LSmf0YERh1GHJJZ8Pi/j3KdPn0rrjcR6KsA0mslk8ODBA2xubiIQCGBubg6FQkHaSo7jTKUUQgniNE3TZJqWTCa/Nv2clUKhgFarhdXVVSHacBzO1MdWF1l65CGQR7Czs4NisYi1tTVkMhkh15AQRNLO0tISCoUCPvvsMywtLQn9M5fLIRQKCeFG5e4CQDKZlOkcHbjf78vUaxaJx+MoFosolUo4PDyEaZq4ffu24HIAU9HRNE0kEgkkk0mBDE+ePMHi4iJu3bolG5U0StqdkO7atWsAgK2tLeRyOSwsLExBDXUCR1pCKBSS7lK9XpdaRc3sZ+VCFhv7vuzvLSwsoFaryQCALDIONxh92A6ybRuffvopFhcXcf36dWE+qdxhAv1AIIB8Pg/XdfH48WM8ePBAKuZmsymjaOAlsZukJLbbtra2hGVFYstFQqM9ffoUH3744RSfQ4ULaronHPA8D0+ePMF4PMYf/uEfIpvNinFUgjcpns1mE2trazAMAx9//DH+/M//HMlkEul0GrZty4RQJeTTSUgD8H0f+/v70pWY1YkZ6SzLQiKRwOHhIVzXxZUrVySCMmUbhiHPPxgMcHx8jIODAywsLGBlZUX64QAkeAEvqaisIa5evYparYbPPvsMq6urQhpqtVoYDAYykic9IRqNSu3l+z7y+byw4b4ONp3rxCzSOp0Obty4gc3NTei6LrxOKkoGlqoEi7Lt7W0sLCxgfX0dmqZJCiXnmFUwpziDwQCZTEYc0rZtlMtllMvlKeYcMSrT73A4xObmJvr9PjKZDOr1+sxYkc31cDiMn//85/jwww8xNzc3dRphNBoJJvZ9H51OB61WS0aid+7ckaxBUY/mMOuQzskjQZ988om0G/P5vPR+yaLjurIm6HQ6qFQq0nbsdrszO/Hh4aFQGhuNBvL5PKrVKh49eoRSqYSlpSXpzycSCfR6PRwcHKDZbMLzPFy9ehXZbFYGUCS7kzvMdiwzELnTi4uLGI1GePz4MT799FPMz88L3GDNw6Nmx8fHkukCgQAGg4GQpH4vJ2bq5MNdvXoVx8fH2N3dRSaTkfEkqYMcZTYaDVQqFXS7XeTzeczPz4vTMV1Go1F5KEYgFgWsxPP5PI6OjnB0dATgNKVmMhlhhXU6Hfi+L203OhhH0rMWdvl8XtLr8vIyPvroI5imKZxbZhYOHDiQ4OSKBgFedgDowNS32+1KxiBcyWQyyOfzODg4wIsXL6aYc9zYNB65Cfw+o+brcCfovIReuq4jn89jb28Pz549w+HhocAz4u9gMIhSqSR1gUq15SYnfZXsPpK16ISu62JpaQmlUgknJyfY3t7G9vb2FE+ctQF5Ocxy5JnTH1/bidkv5DTMsiyk02kcHh7i+fPnUsClUilJ4Ux9LOw4OSNvmECdRnYcB0dHR1Mj7Gg0im63K0SVRqOB3d1dbG9vY29vTxaIvGG+B5+VRppV4vG4OEw8Hkc+n8eXX36JWq0Gy7KEUshCUtM0pNNpBAIBSYMcEtC4amSq1Wqo1+sCQzRNkwizvLyMfD6PWq2Go6MjHBwcSEeAVbxpmkilUkJrZGABMDPuB06pmO12G+12WzKD53koFototVpCNY3H44hGo4KHCY/q9ToqlYoElXa7jWw2K52So6MjyZJzc3OC19mHz2azKBQKWF9fFzom14kZi5uSNjx7tOmVfnqe0mzo8wU4yEgmk7BtW1K5etIhFouJI5qmiV6vJ5G5VqsBAHK5HEqlkpDEnz9/jl6vB13XUS6Xkc/nhf3EQmhtbW2KycVNwKjHPjWPLqmp+CIh1ZEbIxqNIpfLwXVdGYOqnRQOKQzDgOu6MhZvtVqIRCLiEP1+H9VqFQcHB4IZC4UCyuWycAoKhQKKxSKy2SzW19dRqVRQr9eFqkkjktnGoo9Q7HX0bDabiEajWFpaQqVSES7K6uoqJpMJotGoFJCMvIy0HJRsbm7iH/7hH4TNx4DUaDSwv7+P58+fw3Vd3Lt3D/fv3wcAOQDArhSz98LCgpDoubl6vZ7YktALeHl49lVyYZecjsIiKhAIyGFKtsDC4bDs3kgkIi0Tprt6vY7PPvsMn3zyCXK5HK5fvy6LaNs2vvrqK7x48QK+7+PevXu4ffu2TI9KpZIccSLLjScaOp0Out2uMM6Yel914vo8IX+WrxuPx7G2tgbP80SnRCIhLS8uKK8IqNVqePjwIR4/fozFxUVhq5HiuL29jUqlAtd1sbGxgffff1+4GdVqVbgphmHItBKArA+piqzQeUSKMGJWPT/55BMUi0XkcjmJwsSfhmFIXRAOh6XrQPF9H81mE0dHR2i32zg5OYHv+1hdXYVpmlL8PX/+XIq6XC4nuvV6Pdl0KrmdGYdwjIGC8JKbiLZ5lZzrxNlsFk+ePIHjOFMYlkeOgsEg4vG4QAn1CDYjpG3bgrn4NZlMUCgUpKf74sULfPnll9IF4NEUnkLga9No7BREIhFRjqNhHi5Vf/4iYbVOo5LVxX41ucw0PABJcbZt4+joCHt7e9je3sbu7i4cx5EpE+HS06dPMRwOUavVpIijk/K5VYchHqW+NC67LuwIMLjMIru7uzLly2azchyLkZ2RVz2Lp+u68CZ4wmJjYwO3bt2SQMKe9o0bNwCcTkANw5ADBuzK8Kwe31P9U+1WcUMRarDO+DpC17lOTKxIg3HyxgdTD2ZyIdTTrHyARqOBWCwmPUmmXMKO9957T87Y6bqOk5MTOWnb6XSkHwm87CcyUnCn0uF4gnhWwwLAkydPMBgMYJrm1FF8Rihier4XozZxXK/XQzweFyPquo5WqyUF58bGBjzPE/INx++BQEBYcZzQ8SgScTF1Y9+YNFD1EOuskZhdIU5dc7mcwBHTNGUqRpsyEnKj5fN5ZLNZ9Ho93Lp1C/F4HFtbW2g2mwiFQshkMvjhD3+IZrOJk5MTjEajKWhFBh3XkLxzriXfnx0OtmxVu79KznXizc1NAJg6ls92E6t1tUfIXUtaJrmhNNiNGzewsbGB8XiML7/8UqJsPp9HKpWS0788ypJKpaR44A4FMHW0h7uV59MYmRlRZpFPP/0U4XAYKysrACBYFIAUUsSmdCoekDVNE5lMBnt7e1haWsLGxgYcx8HOzg6GwyFM00SpVJJOS6fTkYMF8XhcIAmJNuq4nLCBFTqPgvFgJmuVWTesehcGNwHTO4MUaw4SkADIJFHTNNy8eVPWPhaLYW1tDbu7u1MFZiwWkxF2PB4XFiD1oR+p68p1pvOq9QDwslP2KjnXiR8+fAjTNIVNxvTPtE8aIdtnKldgPB5LVb2+vo79/X0xSCaTwTvvvIP9/X15LxZMdHyy33guT02bxL90VCrH96VhZ4UTzDBMd+rxf25IUh9VB+PPrK6uYmdnRzYNmXQHBweC/0zTFLonKaRspzFjMQhQH/WKAOrJIKIOfWbthzMCsupnj572ZL+WTsZsqx4KXl5eRiqVwmAwkMwwGAzEaVkzsMDnCF89t8dn5zOcxfks2nlMjV9f16G4sLDjbhkMBhKFmHaJ+SaTiTTjGQ1VcjNpiNzpZPPz4dQCI5PJCMzgYVQaj0UmowgVp8Py32oTflbhZIqGAyBckMFgIJiR2YBwYzAYoFgs4s/+7M+gaRoqlYrcVsMNTednS46tSbLR1NtuaEiuuZrW1eilXiwzK/lfhX6sI3gFFteNvWA6PItqdU1UqgDrG/LFVZJONBqVgl+N5tzIzDzcPNRP3bwMfFyfV8mF905QQUYZTsfINFN3F52GirLypPGGw6EUgePxGJlMRsjSvHvCMAxxYJXhpLbV1BREA5/tTjCSzCLq4qmDE+rN6KxiYqY8FkA8LsVhQTAYFMIMIzrfixGKBQxP97I9eBa+0MB8HurJtXgdOKE6Me2onnVTIz+LZ8IXrjWjLZmLHHQRZjHTcIzMn6edGIFZC6h9Ya4xM88swehcK3Nx2GWg0dSwrt57QLyjGl11/tFoJCNeUi65gN1uVxaOEYpQRV1Atm+4g9XqllUsv87rLZ7VkwZgNlEvJ+GiW5YFx3Fk6kaduC7sbHD+n81mBWqxWJlMJjJQYJ9dvSCEPBROs2hMFnl0cP68aqeLhPQAridt63mebEauhYpNGZFpW5KfSJaiTxCW9ft9eT41AKk4Vx0lqxCK2UvN0ip0epVcGIn54txFZHSp0VfFqgAkRfH31bNcTE+8uYcPHolEpkaopAOqGFIdqnAuz99Xsbj6/LMI0xQd1vM8ubpVbbbzQKYaydiGIhmKJxZ4+oKOkEgk0Ol0RC9GYdUp6VQsks6mVNW43NTq+l8kzArUS3UstSVJZ+b68dIaworxeIx6vY6DgwOkUimUSiW5a02doHJ0TLvymakTv8/MTVuqelO38zowF+Zb1XnplLzphgbmruMDtdttofSRpMOUSWGaGY9P76QlR5hAn2lTxcKMSvw3SSZnDas62ixy1hnUsS6/xyhPB1AJSEydjP48qUw83+/3xRFUJ+VpY66dWsAxeKjcWzqeyuhiFphF1AwJvNwkKmQijVK9XoyRF4Dc6nRycgLHcYTP0mq10Gq15IAwKQOM8HxNRmAVorAI5L9VKKVG4t8LE/OXyUngYo3HY3Eg9bIT/h+rXXJDeR/Bzs4O9vf35dKOVCqFZrMpx1dIME+lUnBdVy4YJI5SHZkVL/vFZzcU5/CziIr9+afaoyThSP0ZRlJuvHq9jv39fezv78PzPFy5cgW5XA6NRkMucuHx82QyKbrRyamD6szBYBCRSESegxuba84s9zqibnKej1Q7P9yo7O/zlLnv+3IVFU9fsz5qNBpSFI/HY+zs7MidI4VCQfglqq+ovBOVV86ilfYnrFNrrrMy0xbmoqrRl46sRmcOJ+jIlmVhNBrh8PAQe3t7aDQaAE6hwuHhIQDI3WskG3ne6X1thUJBhgrskTLS6boulE4WiepAAjjdtbzNZlZhBjjbEaFxR6ORnCdkB2Y8Hgv5hfxlwzDk2Dufm/AEAFZWVrC4uDhVqdO46nCDEzRGQW5KtR31Oi02/jzxruM4cqiBnQqVJ0NsS8Zgq9WSVmE4HJYTMbyMXb1QkXwJldBEPTjeTqVScpqc68z2nxqpVZ1fJTM5MScravFCUZvRvGXx5OQEtm0LfZBvzlPQHFeS6KEWixzN8pSAeiyIxHeeS1N3qFoI0FC7u7szGVeFDMRwAAQDcmOQkcWrSmlclWtMphmdhNGOkzHbtrG1tSXwKR6Pi1Mxs/Haq3Q6LSeg1UJZjWbcXLMIf552JJTjqWe1T85T17dv35YDANVqdWpOkE6nEY1GxZ68GovX/fIgBS9kPJtVKOrGoU1pT9qGk8NXyYXXWDEqcQhBY/AhCDHU8aSKf9lCIuAnXPA8TxbFMAy5FYZ8VY4jqTwNwF3PhjyfQx0EUE5OTmYyLmUyOT12xbRIZ+YmYzrnuTJeX+V5nhzhIaE/Go3KNbXkgfDMnud5sol5oSJbWWw58fIUjr3V9hNTPnWdNRLz51WYpA4t1I4Ch03ZbFaOqVmWJYQk27blUkV2mAgjuGbkJXOoQghG7M0+uOd5cjxKHXioMPE8eHjh8SQVX/IuAS4scaPneUIC2djYEJYUx8dsnTFVTyanlxCSikf8pFat6jEZ4ibiSP5b7Qur1fZkcnrd7Nedjn2VqBGCx4POZgnLsoQFxhPCPMaktqbY5+aRJGJH9VoDkuoZ9Tg4YPEDQIYk/FL1VbPO6xR2agGrDhp6vZ4Unsy0vK4WwNRa8G45wioOdPi7DDqq45J+wOxGmi952CzMuUFVboy6iV8lFxZ23DVsMaljSi4Cf4bTNp5YpcPxKib1ECRH1ireVncpOxvktXJ4wnR/Fqrw/xjFeBx9FqEO/Du5zbJIvys6otGoZBReFENWGY8JMd3XajUpSth/pn5sN/LSQH6xy8FesTryPlu4Mu0yk80iKqYkTCJU5KalA3M91UzHOocHIYBTYjyfk1GcgY6XqrOnrI6baXf1LgzWA4RWdF7XdRGJRH4/TKy2nAKBgPRouZi8AIMGACBYkGmRDj+ZTMTYZF8xDXLiRczEj93iUX0A4tyEEhxOsMepTn4Gg4HcDzerqGNNRmJGLXYJAMighgMJOlEgEJD7xrhRiVtJrifMYqQir4ARivwMdYzOzc+15Xrxz9cZO/Pn+Doqa67b7QqkASDUVHXwQcxvGIYc6CU8Il6lDRidSbQnHKTTqpwIdULIeoL2VuuT3+sGIPmh3zkIDyYSAxHDMVWoOJWTNEZVnpYg4Zl4kIvJqMDCgmmJ7602/dkkJ0YFMDW2rNVqX3uX7auEUAB4WWTwFC6AqWKHqVzVkYMOEsDr9brwm9WeJzsOdHoWduxpMwIzm5zFhozi6ubn2swir5pg+v7pKWpe60p7E9bwe7QHeeUkabFfTgoCHZswS31WlS+hwkZ2oAh31K6E4zjCy/i6AvZCOEHF6VjsibI4U+fxrFTVNg4hAatdpljuMu60Xq8nPWH13gMakBW56hh0auBlccMb34nZZxE6ESM88TfXgD1xtVPB3yNu5ShZPZdIp2SEYebg1JIcC1UXlRuhnj/jz6gYnXDmdSZ2jHLUjRuYhSgzD6EaqQJcWzXzcvOqJCnaLZlMyt0khH5cCz47AwEz99leOWsn1kA83nZWznVildxD/MsKldMZdTbO3csigDfH8AQGaZ2EDaoT0knVT+zh1UoqUUTl96rOR8Uty5Lj7rNyJ4DpyRg5AiTpq/wJOoFazNK4uv7ycz2I45ldeMcCL+3mxmSG4TPT4c+y1Di6Z0RnxU+S+SyiQhXVxswQ6XRa2mNql4DR13VPr2/gOUvCnXa7LU7MywBZ2AMvC0TCKcII9qJJKyA+52ZLp9PSu2Y/+lVy4ZF9vrhKxcvn8zg+PhZiN7nFXCC2a7jI/F2VicXUwz4li5pcLiejyW63O8UtoBLq9EaNmCqtUT1KdJGoG5VfweDpzT3tdlu4sCpRhxwIth1ZXKnDFqZJGtM0TWSzWWF/qcff6WBql0XlD6gkGX6PnxY1axfmLM+Cz0j7BINBzM/PY3d3F7ZtSxeGH93QbrenrhfjpuZQRNO0qVE17avqw+krNzVty41Lolkul5vK7Izar5JznVgtAKgwU2e5XMbz58+lsAJeOikNRodls5vEIKYSdRigOgGvTmVXgOQgHqFhVKBjc/4ei8UkaqkElouEjktDAJjq3XY6HYEadCjCCPU4Dx2bBiH/gMw81gzEuyzm2PtWj1WpBBn2VIkJGUiYKWfFxGdtyjpCLdZDoRDK5TKePXuGFy9eyKFVflwwAxuxNO1OWKL27tm1IJ52XVc+XYvDMAYpQknP81AqlWQoplIbvi4oXejEamXK4sPzPLmXbW9vT4ggPPkMQJyQZCAKF14lsrCyp/AjvbiD2W/u9XpyfIa7mIdYCW0YvV8XTpw1MI3Kj7fidQGpVEqu4uIdZsSq7KZwA9FIgUBAWmXMEOxuEHcSQhFDcpPSeNz0jOaqQ83ahVF5Hyo+Vgvb0WiERCKBbDaLZ8+eibPxuBjxcKPRkBYpADkEoRb0hBjhcBiue/qpT3Tibrcr9qN+hmFMfU6IGizUwcdZubDFpraeVBqfpmmCofhw/OTLZDIpXQuVZqeODvlgAITex5TR6/Xg+76MZPkJSdzBk8lEHIRTJY6n1Yb560Ri6qv+nZuY96SdnJxgMBggnU7L76oVNQtPAFMGZuOeOJ7GY5aZTCaiGz8yi7CEcIOZKJfLyXk1dfI1i3BT87XVApzPyGdnZjs+PpZrF/hJVwxEKkZni1TtqKjwT422DErAy3YmLzUnROJz8U9OMF8lF94ApFb/nMJwp4VCIaTTabkBnJ8emc1m5XMo2FfkCJuORiOcZaKx58hoPRgMUKlUYNu2jGoZ+XivAZ1O5T3MOsXiIqsQhO+tcg14E9Hx8bEQ+Nnf5llAZh4Ve3Joow4oGHXZquT9EyxkGY05HRuNRsJTZiGnbrZZnZi2VDsUxPoU0mI5tOJkkZ9TyM4Rf482ZQtSJfComYLH2Oi86gZnL5n6sV3HrhCAc9um2qztmUu5lO+qvB4Z9VIu5Tsol058KW+9XDrxpbz1cunEl/LWy6UTX8pbL5dOfClvvfx/rQD34FET3tsAAAAASUVORK5CYII=\n", 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" ] }, "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", "text/plain": [ "
" ] }, "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", 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" ] }, "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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\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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\n", 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" ] }, "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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BAMdxxDKYqJNQX19fx/7+Ph4+fIgf//jHApx4T8ZhlQeOoghhGIpweS/P885dTVosFgL4DMMQVNxutyUNiaJIgBQ5cMdxUCwWUSqVhB84OTlBr9dDlmWwbRu2bUsBxjAMCTHNZhO7u7twXReNRkNoXNu2xVvFcSzCrtVqYjjcW+bSnuddTMBZlqFarQoxHkURJpMJCoUCXNeVtISfBbDkfgFIJYgxrFKpSD5NiwdOIX+j0cB7772HwWCA/f19bG9vw3XdpTIj0agqHA5uPsn884IsVsTSNEW1WhXrr9VqgnxZ4KcCcX2MtSyWzOdzlEolzGYziaHEDsViEZ7nIU1TrK6uYjKZ4Pnz5ygWi+LG6flIpgCQcEBMQSaMlSy15PpGAl4sFqKdhmFgOp2i3+9jdXVV+Nez3Qz5fF4sOkkSTCYTof5arRZM04TjOHAcRzwDU4N6vS40XxRFeP78OW7evClC5mLVogAJBFpGoVAQsHPeahJLlqZpilJPJhMcHx8LH80CPNdKl0rFIwtF11qtVlGr1SR0hGEoAnQcB5ubmzAMA71eDycnJ6hWq6hWq0u1cLXuy2fMZjMpqzKsDYfDf7u2V/ZkkR9dWVk5/fBXD2LZjBas/p6bzuJEv9/Hs2fPxLIZL1g6U0tqpPfoDqMoQrfbFRJe5brVDhEAmM/nkgMfHR0t0XrnEbBa4y0UChL3GPtoqSQzWPpUy3zj8Rj7+/tCyhDp12q1JdBnmiZarRZKpZLc9/j4GKPRSPZc7ZjhnnJfgdMSbqPRkIrXvxuvddFJkqBYLIrFAZAFqd0FaicEAEHfJycnyLIMa2tr8ncS7Y7jwLZt0cAwDJGmqcT26XQqTBK9A59Pkp1AQ7VwMkjnFbDavUF8wc4Kola1VUi9jr8fj8fo9/vodDrY3t4Wl8qqGfD1BgriD4JOct8rKyvCVqnekMCSgj45OcFwOPxaJ825BcwHMEZVq1UEQYAoiuB5ngR9tSWFkxmNRjg5OUG32xVmazweL1Vj2J1ACwqCYEkopEkXiwUGg4FsEtONXC4n1GixWBTXRQT7Ks3+psF5FQoFKQqQxWMMPttjBpw2/3U6HRwdHeG73/0ubty4IcWAKIqE+KhUKhiPxxKr6R1s25Zcm1W5arUqc2J89zxP9jiKInnGhblobhCFTDDB2KnGIvKt3GDP8zCdTiXHHQ6HGI/H0DQNnucJ4NA0DZPJBN1uV3JHskjFYhHlchmrq6uyKGo0f1bLjZwHEfqrNFsdtDCCGcZaWhirRmpfGjs3wzCUUKLrOu7evSs4hCEpiiIpglAhyc/HcSxpHpkzonbGbHaQTKdTwQJ8Lt35hQXMMhrjE3DKf3qeJw+nO+HGUNhksHZ3d6XawlwYgHDUQRCg2+0KNUqWbGNjQ+g/13XFmmmd1HaifG4Eq0/nFTABC72PmuJ5nifKrIIsPt/3felmqdVq6Pf7Ui5lWGG5lRWkXq8n3ALbXy3Lwvr6OhzHQT6flzWodWQqI8MGw9CFYzDTG7UNlMl2lmWiTSQCqNVxHAtvm6YpHj58iMePH+Pg4OD0oYaBVqslhDyJCSoOFWF7e1vQI3lvPpcLVxfPZ38TSHnVoNJwnbSIYrG4pCjsBwOw1OtcqVSwvb2NNE3xySefSMGkWCzCsixpm7UsC77vo9frwfd96TcrFAq4ceOGrJPKTNKENWIKnHuiNh1cSMCMjcByIzvbRAgUVO3P5XJot9uoVCoivDt37qDT6WA6nWI2m0HXdezt7aFcLsO27aVCe6VSgeM4sCxL7kHQxN4vWhcLAVQuumVSfBTA6wZjrNp8x3ybwI5VLHo09jNXKhXUajUheZ49e4aPP/4YnU4HaZqKZZbLZZRKJQGoYRhiNBphMpng1q1bUikKwxD1el0IDXowtexI2fDr/ysPTpIEpmnKjdXYq7pvIs1arSZJO13nxsYGfvGLX2A4HOL4+BhHR0fiohjbyeXyvuS3aYlhGIqnUJks5tAqXuC8X7VwdZzNrXkdrYWUpVoSLBQKaLVaooS0pB/96EcwDEMo3vl8LqcuGJoASD8zmxIpyCAIpL+McZyKxg4brpH44MJctLpJ3AS1+ZwCJ3XHMh4FTovK5XJYX19HvV5Hu91Gr9fDzs4ODg4OlvJLVZFoMQBEqKo3UT0Kv8iDv6mL5nzpjah0aq+zCuxIMDAXVi2pVqvhJz/5CX7wgx/g4OAAOzs7ODw8xOHhoWAWy7KkO0NtgyV4m81m0mxIT0mso/Zcq1Z8IQGfTWnUHE4FXpwkLY6ToAYylnPC7XYbtm1L6qTyu2ctqVAoSJyli+JnVGvlfKmYRNfnGbwnyRcKFcBS7ktrsiwLlmUttctw05nXOo6DGzduwLZtlMtl4ZnVdljyChQ8UTeb/rlGKq9KkX5TU/wbC5gbxQ2kkKk9tCRqn5q6cINVYES3C0D6p1iIYK2YFsKeYQBL3f6maYrisLmOC6Yi8HfnFTDnzHYf9ayUqlBscCfIURGsyqgRhdONFwoF1Ot1jEYjUVKVA+Bcqay+7y+VU1V8QbesHsa7sIC5cJUz5mJUC+Ln2ATG0wkAhMf2PE8Sc1UJDMPAaDTCeDyWvPDsASvyr6pCcTOpVCq5obry8wx6KuajapGCCq0qC09VcNPp4Xgtv7g/tOBqtYp+v49eryd5O5sFwzCEpmlCy1Kh+DwqLZ/HfaSHvLCAOUl1kSpzRY0i9+z7vqQAZJiCIMDBwQGiKIJhGEv1XU6WXoKIOQxDWJYlFR2Wxba2tqQDk83gdI0qn3xegKUKkniBrpCWzHUSk7DDk88PggC2bcOyLERRJP3fvA+p1FwuJ2QOadnFYgHbtkU5mPPncjlUKhURIK1WRc3EDmzheWMBh2EowEdFrmfBDjd5Pp+j2+1ib28POzs70uOUJAm63a4Uq6m1WZZhOBwuNW+rXRimaQqFRyViTxYVi1UkFROoineeoTJ1VK5SqSRr5TrpQpMkwXA4xNHRETqdDo6Pj4Uj6Pf7GAwGcraY6Q/ZKdWDcf7k+olh1tfXJZaTCDrLWqnZhe/7FxOw53mwLGvJNRPJkWzgpqgPNwwDzWYTjUZDBNtut+VenBy1n81ktJqzmw+c8tI8JcAYyBhE7eZ9iQ/O27JDF6cesqNnoXCBZdDJ6hGrXWwlZpeH67pS+iRwIqevonMqAZWSc2BoBCDKzXuooPJV1gu8RsDT6VQSdApG9fecrNp10Wg0sLKyAtu2Jb7GcSwCZAM34w1BDeMvtVrlk3VdR7lcFtfFzSFAUWk9Cpp9UecZPCZjWZbko1Q+FjX4eyqcbdvY2trC9vY2KpXK0oE0Kgn3zPd9TKdTeRazCq6VpU7elyid+bV6QE+lKNngz2e+sYDZDsNa7TcBGNV9MT80TVN6jfL5PEajkXC6rPiUy2WxEgDihih0unEqCtMNhgIVQXID1Ng0HA7PLeBGo4Evv/xS0j0AYiV0+WrtmkX7er0ujQ8srpCD1nUdpVIJq6ur0DQNw+FwCauQyeK+0rtx7/gcNvsx/hLEpmkq9O6Fe7IAiBaxuYy5mpousW2EyTjJC1VIBEm+7+Pg4EDcFwXCn8lMsa3nm1gcAhyidhVFU4H6/f65XTS9FOMh50F3zPBDK2aliwV7FvZpYZPJBHF8euz0+fPnYrVUHBoOUz9ez7XTMxIPcP/PInf2ZF348FmWZVLon06n0kGplgsZ9whwqGH8ThdLwRNdUtjUTJ7QJ8/NnFl9VwXvqb6kRGWu+O/xeCzNAucZuq5jbW0NOzs74qoZUuiFgH+9YkK1ZgDiQdQ3DbAk2O12pVgA/Iv+5BoZg3mtSv8yPaIbpzJTuGp9+EICJqhqNBr4/PPPMZ1ORRhnC99qvsgyGeMMAKHoOEql0teK4t/0Jh81VQMgRAaRo8pmUfjdbldy0/OMND1tS2JHZJqmUsgg+aEWNlSkTgzBTIJunu29Z+u+VASibK5VDQ1cCwWrFlCYorGYAeCV63xtHjyfz1GpVOQU4WKxQKVSETDDrgv2S6u5IvNXAGLF5JxVxKjy1kxL1DYa9Z6e54l744aorJLneZhMJkvPft2g0m5ubmI0Gon1M6VTGwBIYqgdj2pmAEAsnoWItbW1pXmqbBmb8tRcXo3TvIZ7G0WRKCHwerbutcdHSae1222hFFkXZQxmTqtanPr+LGo86Tn1GCpBEy2Rwqb28yQDkTUXyvhFy1D7lrnx52WyGF7q9TqazSb29/el15juk3iCmIMC4eG6s+VT5rbcA7WtVm0rOptGqS+dUYVLL8A9UYsrFwZZN2/exK1btxDHMUzTRLvdlgPPrOOqYIqLpyvjd7pdNa6qFRGVTFBzviz716sbvmnR6gmCLMvEm7C++6aD7xQZjUZyup+N+lRGKjFdNhWTMZReiu5XbSIgYAL+1ZwQxzFGoxEGg4GAQrVpUO1JV70asMyTX0jAP/vZz2BZFp4+fSqdBvV6HS9fvlxquqN7YjFCtR5SdOw55qYwtnGDCC7UXJjaTMTMv/NvKsplGy9JjtctXB0qnrBtG6urq8KdM+bSXfPozdm6NADBEQRaFLYqCDVnVa8jecN1MQbTyufzORzHEWUm83aWJ38jAb///vvY2dmRxfMoaK/Xw2QyWTplwL/P53MppfHBvu/DMAx57RI3np9RaUK6KR46GwwGwvnSHdMSuHj1vLB69PS8Q51PPp+X04XkjNVjoRxqesh1MfZz05lOUgn5Xc3liSl83xcugOtUsQkrWeStSZa8brxSwDxXQ/fJIyuqhpfLZQEEzAnZRUg3bpomxuOxpEekO1XwpBbOedKf/Vl0UYxdqgtjEx+FtLGxgf39fbHk8wwVD5A142sZhsOhWCFjvhp+LMuSvLVQKIjAaPUqjUr3TKGzp5uHuElaqKkRWUCemFxdXUW/38fTp0/PVVR5bVclF8SN4MFmvkLJ9/2lshY1jTGUvb5sYKOlMSYxPyQ9qD53MplI1UWNSXTzFK5a4rtx4wZ2dnawv79/Lg3nhqvImL1htCwVxKi5KI+kuK4r/Lz6ugYqDQsNBIZq3h6GoXgqAOIRaAA8G0UOwbIs3Lt3D8+ePRPDeJWQz/WeLIIiMlWMxXytEtEj3SxjydlCAl2WSoiopAljFYEFaT8VWKj3UIXLmrPv+7h//z4ODw9f2cqytAlfzZ3zoGWyAZCsGzeTvVMkLFh1U9E070eMwdOCxChUWnomVsWo+PRAJF2YUgVBgHfeeQebm5v44osvlvq83ljAbH47W+i3LAvVanXppSk8CM7raIV8nRIpTiqOCrA4VHRIMEGtJ0ihtamazQ2N4xh7e3v4+c9/jkePHgl+eN1QOzj4rGKxKOEIgLx/RM2v6VV4jId7xfjP0AJALJlIny2yFDA/oxJFVGDLsmQvRqMRqtUqPvzwQzx58uS1oej6f1254uP6je9XfFwL+IqPawFf8XEt4Cs+rgV8xce1gK/4+H9NdA2Fng194wAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 77\n" ] }, { "data": { "image/png": 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JOQzDEDDKaxN/qKCN50k93UnBcRwLQ0OrUScbqGgKRGRMTxoMBsKZMscRGbLuVa2d1nt6eoooiqR+JgerUpuq4rk3Wjz3QarzphXHsVyHhkPFsO6k8ahDh2yhxnG8MDvGkMySTUW7hmFgZWUFYRji8vJyYXaNIZzGz6E7Nh0IwCgn+8iDweBuCo6iCJ7nod/vS4uKVqmO5DBc0XPJ2bJubDQaQsQbhgHHcZDL5WBZlkQFCtRoNKQHe3JyIgBuPB5LqTAej2FZluQnHi67PiRbLi4ubqVgdmt4sDRYdd6MuRb40GXjgff7fcnfKrlCWpY4hWdXKpWwsrKCi4sL+L4vJRpTDeVivmUao3ER0PLsTk9P76bgVquFWq0mjQR1CoOHrKLCJEnQ7/dxdnaG4+NjXFxcCPPFKABAPI6hW1WUaZpwXRdLS0vY398XNov8NT2fDQIqN0kSASi0ehL3Ny2GQQCSaxlx1DSjTpuQ5ep0OqKk9fV1qRzoDI7jSHTgGQLvCRVWIO12W+phKpoKVcearg5fMDoeHR3dTcHHx8d4/vz5wrQBPYn5irNQ4/EYw+EQJycnODo6wnA4lKZ5v9+H4zjo9XooFAqiYI4EEX1zsNv3feG7wzDEYDAQwDQajaRcoHIYLsmqEYB8DsgisLmaZwkoVVDIPZ2fn6PZbML3fWGx2DYlUUJjo1GQz4+iCLZtY2lpCScnJ+h2uzIwQLpTnXjhebM/nSSJ8AnXRaprFdxsNsXqOJrT7/exsrIin1F7p77v4/DwEFEUoV6vo9FoQNd1jEYjHBwc4ODgQDy6Xq8L4T4ajVAoFBAEATqdDoIgEDDF8MXr0wjUcSJauoqgSf/dZhG8zGYz6fuq5Rq9huAvCAKcnJzg7OxMamgOJwBAt9tFuVwWw2dUIGkURZHU9/RYgibmYyJrNSRzOIJ9eTYgVMD1WQoeDocyegJ8aMR3u105XB5st9tFu91Gr9fDysoKnj59Ctd1pZf78uVL7O7uIggCeJ6HtbU1VKtVua7ruuj1eri8vISmaXj06JG0xujdrVZLZpLUfAlAkChz1+Xl5bWCq4vXGY/H0hItl8sLRAyjBOepms0mJpMJGo0GXNfFZDJBu91GkiTY29uDpmlYXl7G+vo6HMcRateyLOl1c+SGimToJQZh6lOnMpmC+DOnaO6k4MlkAt/3BTywEc4ygqCKc0atVgv5fB7b29sC9fk4iW3b8H0fg8EAQRCg1+sJA0SAxWnFx48ff8Th1mo1tFotBEGASqUibberbBUJhc95dIVgRa0r2ZMlE6U26VutFsIwxObmJtbW1iQVtVotvHz5Eu/evRNgyme71NFYjuzwrMgD0NPVaAF8qNPVZg6X7/uCHz5bwUSyzAlEkoPBQGrQ6XSK4XAoYOhXv/oVcrmcWCvz2NOnT7G7uytlB8MhkSpD2fb2NjY3NyU0kyXSdR31eh3v3r1Dq9XCfD6XaUr18EzTxHQ6xdnZ2bWTDlcVTCWro0E8dH6Gg4GDwQCNRgNbW1tCWrAHPJ/P0ev1BFC+fv1ahu7YDQuCQIAjO2dslnA0l6WZmi7UcM193RSpbpyLZoxXCQrWuSqYGY1GqFQqKJVKkmtUvrher+M3v/kNgPdhRg2LrHfL5bJw2CQ2VGasUChgdXUVx8fHGAwGsCxLgBrRJvPv2dnZrSc6uB8iXB7iaDSSelsdoXUcBxsbGwv3Zu/7+fPnODo6Qr/fF+9n1GPY1TQNa2tr2NjYkG4Y8KF9OhwOZe88IyqahAdDervdvjtV+ejRI5imKZMZLMIJ4VXlmqaJra0tGU0hz6x2fH79619jPp/j5ORkoXHAvjHnilWGjFbM4bJarSZAi4BErct1Xcfx8TGCILj1TFa32xU8QKpRRaz0HJY6tVpNKgmmIaaUzc1NfPXVV9jd3RUv5jAhvdRxHKysrMDzvAXD4jlQPtbURNAEWjR8zsbdueHPGvfo6AiPHz+Wjg9nniaTyUJj27ZttNttHB0dwXVdPHnyBGEYylzvZDJBrVZbMArDMJAkycLUAxEySw7mbEaCer0ue2Eo40ElSYLvvvtODuQ26+zsTIxBbSxQyaqCLcuSnEqjUwfgLMvC7373O5RKJRweHopzcNiwUqkI0aNGKLYWiVm63a54qzqZSU5b13UBtddNrlyrYE5S7O3tIZfLYXV1VRTM2SD2ZnVdl/Lh+++/RxRFePXqFQqFwsJD4yQpWHcyt0+nU/R6PVxcXMBxHADvw2K324Xv+4iiCJVKRbovpVJJwh3zMADs7+/jzZs3Um/eZvX7fRkYJLDiVAXLQOZoMlMsiYgz6JmapqFUKuGLL76Abds4PT2V+pwNExVcXq1zGdlouKy9WROr6ej169cAPjxk8NkKTpJExkZ3dnYknxYKhYX+K0Mqa898Po8oirCzs4PpdIp6vS7dEo7TsBxg2NI0DZ7nSd4j2cGpw9XVVQDvaUV6EY2AIGswGOAvf/mLtO44wXjTYgm2tbUlyqXxMA2YpikMFxEz26mVSkXyLL0+SRLYto2NjQ0kSSLypGkqNK3aXuR8OYkktckBLD5cnslkcH5+jv39fUmZd1Kw7/vyJAFBA1tn6pC32qMsFouo1Wr47W9/i4ODA7x69Qrj8RjNZlOou3K5jFwuJxSo4zgYDAZYWlrC7u4uoiiSaY61tTVsb28jm82i3+9LPmNJQy+I4xgvX76Uh77Jid9mjcdj7O7uolAooFgsikLVfrA6KXJxcYE3b97IlGc+n18oyQiQ1CkTNm4YtdRxnCRJ0Ol00O/3Ua1Wsbq6KkSP2lQBIODvb3/7mxBCd66DgfcNB/aFSXycnZ1Jk4FKZgnQaDRQKpVQKBTw5MkTrK2t4e3bt2g2m4iiCKenpzKlT/QaxzF6vZ6As1qtBs/zkM/nsbW1hWKxKKRAHMfCGqkHcHp6ir29vYWnEm/LZB0fHyOKIjiOg6+//lqmJq72rulp5+fn8nwRJyLZVSuXyxJtWOaRrqS3slfNsV6CJ96TA4W8ppqHZ7MZjo+P8cMPPwgGuC5SXatgEhkMJfP5HPV6Xab+K5WKhCzP8+A4jjzBwMT/7NkzVKtVMZTBYCCPuHDWStM01Ot1ZDIZVKtVQcW1Wg2FQmGBUeJhq08j+L6Po6MjGQBQp0xus3zfF5k2NjYEXJKmVJ//CcNQIszXX3+Nfr+Pk5MT9Ho9DIdDWJaFMAxh2zbK5bIQE6Rsfd/HfD7H+fm5DA8Wi0WsrKxIGmCXSp0Y4X97vR7+/ve/o9/vL7RI76RgIkkAUmNycH1/fx+tVks8jbmLN2TopDeQSF9ZWRFPDIJAchnvxXBPIKVaPYGOOsUQRRG+//574Wb5Up9cvGkRqVuWhXq9jouLC8znc7k/oxU9iCXd2toaTNPE8fExTk5O0G635TliGgJrarWZks1m8ejRI3GKtbU1LC8vC4NGZooIXuUbDg8P8e7du4We9HWzZzeO7PzU1y6waX1wcLAAQjjPpHZe1PGZIAhkZJRlE42Hj3IQaRKMUem0ZnqzruvSmiRYI+D63KlK9amGSqUCAPIYKetd5mPDMFCtVmVOmW1CPunAgQcqpNfrodfriRLq9brMcJMcqdVqMIz338XBeWkiatbXaZri9PQU5+fnUpuTLLrzkw2cGLg6d6Rpmjyy0Ww2ZaSTdRpbh0R9tDJ2hNgcpxLYxOBcNKlLKlSdeiCgiONYBtI58kPaTx2Ou81SBwKTJJFnrc7OzrC8vIxcLrfAF7P+BrAQStnUr1QqMvc8mUxwdnYmyJqPoarPWZHwAT5ESjV6AkC73ZbulaqPm+S8MUQzx6r9SAKbSqUiT6lnMhl5CsK2bfEmdSqQrBbHeehh/L065UEhKCyNiy3LVqslKJkWrA7Tq52mmxb3yAOezWZ48uQJvvvuO+mcsS5WW5P8GxohH0yzLAuDwUDyOOtoKpyP43A0iDy6Wueqzf1+v4/Dw0PhnFUChE51JwWrnkOWiMCLllwul3FwcIDz83NkMhmx3nw+vzD5x2KcBIX6JV+WZcmkhjrgzakKgh5+i8DZ2Zlw4STxyQQx//KgbrPUeSvKZ9s2Hj9+jDdv3qDT6aBarUrtT5pWDd28RqfTQRiG8lkePsET5eWT+Wqe5X6ZvtiQuby8lIpA5b7VUd47KRj4YN3ZbHZhWlIdOnddF77v4+TkBK7rIp/PY3l5eUGRZLFIQRJMsLjnU3jq5CQNi5bq+74oVx1FBSCzW8QLn6tgejunOubz9+O4tVoNzWZT9sWZMuILVhcEYo7jCLWqMmAAJMyrrU7ukZ+jsc7ncxkMUCdSme54jiqL99kKpjeQ+yTFyHV16j9JEuzs7AB4b4VLS0sL36zjuq4cFKcS+CLaVh8TUeegBoMBfvjhB/T7/QXFch++7y8Ietv8y4NTQzSvycji+z4uLi7kYTwaq9oIUVMRH73hBApbphxeYCpS58tVb1e/3YBeT4NgDle/5unOIZp5Qw2RnU5HDp7NeHLNzNE7OzvIZDL44osvZIqQnLP6nRpqOcXBNyJuejYP8ODgQLhxdaCcwIv7Uvu3t/0aJfVgOZpE+pVPAg4GA+zu7oqh0lipQAJSdVas1+vJ80ZE5Jy1UhUMQBoPaZqi3W7j+Ph4gaFirr7a3KdR3UnBBFjcdDabla9t4JiJqjD18Y2dnR3EcYxqtYpyuSyPZbJjxANVB8AZckiGMG9dXl6i1WotWDxDsK7raLVaAtpUevG2X4TGiQyO3CZJIgwWvdZ1XfT7fezt7ck33eRyOakeqERSnRy6Gw6H8hUPbMqoo8J8Uf5utytpiMZHI+a3DvHzxCd3zsEcJlPzgzpYTi+mZ9LLydq8fPkSm5ubWF1dFXRJ9mk2m0ltzANl7uU361Cg4XAo9+JiPc6xU+ZMFYnedjG8DodD+S4QNZ+rTzq222389a9/hWVZePr06UclFPfBsq1UKomsRNDqM1tq/u/1ejg6OlpoAfLsuT+2VqlUOtmn1sP/deWer4dvfL/n60HB93w9KPierwcF3/P1oOB7vh4UfM/X/wFaEM8/97yM6AAAAABJRU5ErkJggg==\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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9va3SZFnGBENWU0jcIGVltVrh7u6O72kjUlMUBZfPoih4d03T5ARIVWPn5EaSU1EUyLKMb+xbrVbodDp8PLu3t4dms8lChFxStkVCelCJJPemWI6iCJPJBKPRCL7vc02XuXiWZdjb20OWZexZcqWhsLpPjPhd5gb86rbkoovFAr7vY7FYoNPp8J2FruvybspiAMUb0U0AzATzPEcYhqzATiYTXFxcIIoiPmSQDUe3o9BJiXw4YVkWut0ue82fOi2VxUZ50H1mFIez2Qzdbpf7YooxWRiQaSUlQhn4er3GZDJBnufo9Xqs1lAo0Lz0Pt1IQIeIdMpKHGLn272orBB4WR6Sv7NcLpl/O47D8UoAZW4vuyCdf9E9dNSu0k2DRJpkKkrgyLPkHp7mVxQF7Xb73pOU9/+F9NjGe+CPbbwH/tjGowX+/90Xio2iDkzTAAAAAElFTkSuQmCC\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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\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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VVZ0is6oDkDDf2NjAvXv3hNwsbh78bmMpn0XTCQGrOHVsjpb6M2wEQGrK/GXYlmUp7U+f3hZFDI6uVVXhxYsX+PLLL7G3tydeXQStPyB4KuDcEWVlJlPjE80U/V++fCnUlFHQ7/fR7XZboPRrlWXZeuqJQPr9PjqdDjzPQxRFshFx9+5dPH78uKUC6Wxycc/sOO+//19I5+14D/y8He+Bn7fj3AL/P3xjYVJPNMJAAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 87\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 88\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 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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\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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cDimKYikaDwYDiqJgbW1Nb2zWxmY72mRh8JhiyoN5cRzrZKXX6xHHsdbfJjWW6lB4/7Nq+5mAy8Hq9bqyqb29PXZ3d9nb26PRaOhDPXLAbrerNNecnv7W8EEorBCY6XSqffXpdMrVq1eJ43ipSSmZRNxFOIQEShH0iYGb0w7xW5lY1ut1paSLxUJZWlmWHBwcEAQB9Xp9iezIMzVma1gid5qm5HmujBDghx9+YGtrSzOE+TiY9PZkbCWE6A8hMOYGYk7SUup0OtTrdRqNBgcHB4zHY6Io0vKyqiolL5Lzbdvm8PBwaRBpcn3ptGZZxs2bN7ly5Qr7+/uqBHE9sUB5+MB8utqsJZ6K7bgg8P91ndn/ofAS+FlbL4GftXVmgf83AdrBRepSra0AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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", "text/plain": [ "
" ] }, "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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ac3NzqiEhMUOC3PPjYzkmHij4vq/4tPiM7/vqpfkonCQJvV4Pz/PodDqcO3eORqOhorWwKrEciQ/SOsoLZmpqilarxdLSEjdv3mR7exvHcWi1Woo4yZwtr23xdxGs67qTAe92u2xubvLVr35VUUeZkkjnQ6Rv2zaLi4tcvnxZsTGp4UUjEmklDkhOlgXD6XQGTgNZs9nk3XffZW9vj263OzYdFfBCi0WI+RH1xEPDn/3sZ2iaxuXLlxUA3/dVpJcU4jgO1WqVer2OrusMBoOxfAwo5iW7I+SI4xjbtsc2F8ji87PuTqejOLgEQ3EPifySFsXKdnd3JwO+u7tLmqbs7e3hOI6aWAyHQ05OTpRZiYnKiFc0K4IRoLIwaSWpReT6asViUaVEaW4Ui0UajYYKmhK0xLzzDZH87ooHDx5MBlxM8OnTp8zMzCifknmVmLqYtpiYzMikEwOoACktJNGsaFVq/+dJiPTc5Hvh/HJOLE8sSnw+yzI+/PDDyYCLTx8dHakHyhwtnz7yuVgqOGCsUyMalh7e80VOFEVjGwdEIHK/cANAaVi0LdcKLY6iSDUvJgIuizo4OBjbgiGMSQKVFAr50lR8TfwQPit6xKelMSnxwLZtBUa0LkWLWI0IS3ZGyP2iFKkNPv30Uw4PDycDLpqRnQ8LCwuqPA2CQHVYxCel1SvajqJIERPpycFp8ZLf5CP3SB0g75XPWZYpS8tb2fMdFukYaZrG7373u8nzuFRnQRCwurrK3Nwcvu+rRUofTixAeHueoEiaytfLYgUS5SUOyLgov0FIBCECEB6Q7+4GQaCyhaZpPH36VE1bJwIuGnFdl8PDQzV7Fl+SCC6BTYDA6YYhOS+Cyacg0ZDEhXzdLRYkxCi/J24wGKj3SxATMiSutLGxwePHjyfP4/JgefGvfvUrvvnNb6rZt/hhr9dT+VworqZpjEYj4DSgyTBPTFUCGpz6a6lUAj4jOflaQIQnqSzvErIGKYRs21ajbVHCCwPPc98kSXj48CHtdpsrV66MbeWUl+aDmOT0vJZloTDe5JCKT96Z/zu/qVC+y+96zPOG4XCouqwi3ImA518gaabb7ar2kuTlQqHAcDgcK1ziOFbakfJVaKosSLQpmUHmcHK/AJCuiwhDyuQ0TfE8D9u28TwPYCwzTFyPPz+WBRRji6JIDfyFjYVhqAKUkJc0TXEchyRJVIkrEVtaVNIVlXQpz5OFSxdHtJ9nbr7vK4trtVpK+1+k7f8zcJG0APd9n2q1ys7ODjs7O1SrVdWAlBfKZwEmfigtaaGfee6e3/0owsjP6PINC6kcB4MBhmHQbDaxLGtslj5xI0LSkhQSsv+l3+9Tr9eZnZ1lZ2eH3d1dtXVL0ov4t2EYDAYDZb4iTPFtWaBoKt98FDLieZ4KVCII3/cVbW42m+rd0tGt1+tfWJa++i+kl+14BfxlO14Bf9mOlxb4/wLgerw1dUAU6AAAAABJRU5ErkJggg==\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", 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" ] }, "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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CAwfdz0l2eMYgCBBF0VJcWQu4zov1NKaPkBhdSUIASKFCregpSfd5PfXRLQi6LEtkWYaLiwshJfR//S1lCpNjbL6E8LruC/D2fyHdv/UW+H1bb4Hft3Vvgf8/Gk5nSXg5p1gAAAAASUVORK5CYII=\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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\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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1+YDu8i5DLe4DEDdLd01PZRiGzJV0LddA70LhqCQH702hqcK/vn5aq1p3pqEQJ6jdLrTiewk4SRI4joNPP/0Uq9UKnudJDFItlfwthcikfj6fw3XdNdBFNEgBc9LqIiqVClarFS4vL+H7Pra2ttBqtUSZ1NYXjusdFEwp7jJ838fu7q7Qq6yDq6kYf1bbcNRBIa1WK5imiUqlItdSwJyb6gXVocZbdZ1qL5paMuTzblLkW8uFrusK5+u6LorFomiM2ndEAEXEyGK9pmlot9vSokLCRCXh1W5MNV2JogiDwQCz2Qzdbhe9Xk+qNBSwWviOogjz+Vzc/E3pgzpGoxE2NzcRx7FQlrQgdZ0qmOFGh2EoKSJzXqaT/CxBFS2ehQUKTwWm1wGa6iVYfbqedZDf/2ABA5Aif7FYRBAEmM/nEivIzBAwcJNd14XrunAcR/hd4ApNshYMQDSUi2HKoy6MggqCAHEcSwMBrUptm53P51IzZb31LoOf488kcVQvxVye8/Q8D47jwPM8lMtlyfnZ6WKa5toa1WZFAjDP83B4eIjlcol2u71W21WxB/dIdeX0drcp8q0CjuMY+/v7wt5UKpW19EjVsDRNMR6PMR6PZYPz+TxGoxFWqxXK5TIqlYpMTO01Yl2VaQmViyTCeDzG3t4ewjBEv9+XkhwAQeokC9jCc9diQxAEGI1GqNVqQmow3tKNEsDxOSyuTCYT/OhHPxKFYP2cHguAvGcYBpbLpaSbcRzj7OwM3377LYIgEA/FwokKFlUkTkWjIt+72ECtcRxHissEJCwkqD1Gi8UCFxcXmE6nUm2ZTqfY39+H53nY2toSQoSWzBLj8fGxPGexWAij1Ov1UCqVUKlU8PbtW+zv7wutp24ivQct2PO8O9eD4zjGwcEBNjc3USwWxUVbloXZbCbPoXDZvMDn8e9JkqBarUquy70iPlH5d9UwfN/H3t4eZrMZ+v0+Wq2WkCfMXGgUfA492m1g8laiA4CkL6PRSDSIYIg5a5qmmE6ncBxHECQ7MpbLJb7++mscHBxgNBrhxz/+sfRnRVGEb775BmdnZ/B9XwDI5uamgC3SpDs7O9jf38fBwQEmkwnq9bo8nzGJaQR7yO4yuMmDwUAYKm6+utGr1Qqu6+Ly8hJhGApWePPmDWazGWq1Gn7605+Kd1FbmNiqA0BoWQJQ27bhui4ODw/FImu12pq7JtNFLzWbzcRL3burUs1rWWAmP7taraTwsFqtEASBVDyonSzbdToddLtdnJ6e4osvvsDh4SE6nY5Qj+fn59LJ8Pz5c+GxSeNRyMBVlwUtfjweS7xTXWiappjNZndOkziCIMDZ2dmaWyTeYEFgPB5jPp/Dtm1YloU4jnFycoI//elPKBaL8DwPv/zlL+V9ru/du3cYDoeYTCbwPA/1eh39fh9bW1tCyZ6dneHw8BBpmqLT6aBUKgkYIyOoCpi9aPdmslQkyaCeZRnOzs4kRhHtuq4L27YlYSdSzufz6Ha7eP36NQBgMBhgMBjg/Pwctm0LTbi9vS2bQnRJkoGKtlwuUS6X8cknn2A4HOL8/HzN6lRWjd0Odxnq/R3HQRAE4hqpaHEcw3EcxHGMer0O4D0vzValg4MDqQ1vbm6i3W4jSRK8ffsWZ2dnUktnp+R1Wrbf7yMIAnz77bdwXVfq06xzqy/f96UseW+QpYIoAAIQ8vk8HMdBs9lcK9/Rjah/4yZtb29LXxerU+wa7HQ6aDabkk+r54LYLaEiUNM0pTXn7du3SJJE3DlTl+ss202D96Yy05KpvBR8lmXo9XrCcDG1qdVqePHiBZIkwcnJCf74xz/Ctm00m03kcjkEQQDLsrCxsYFutysUqKZp4mlIqHS7XaRpitPTU1FeWjLTP66RZIvjOPcTsLoBFHiapqjX65LLsRVnMplI/BgMBvB9H61WC5qmySSfPXuGer2O+XwO3/dRrVaF5WIuqMY9TdPk/fl8Lu+p3Z2bm5uCxkkZskZ71zRJJSMWiwVs217bQKYilmVJjZpsXJIkKJfL2NzcFI/HNtfxeIxqtYp+v49+v49arSbFCZXQ4B7THbMP6/z8HIeHh9/xUKvVCrPZTLABe9U/WMBqKsSEnJvGhndqZq1Ww+npKYArUDGZTOD7vnQIsmOx3W6L9RaLRakFm6aJLMuEoyaYo0sifcm2WdZsyXC5roswDBGGoVjXTQSAOtTqjVoMSZIErVZLGu4IAi8uLhDHsYCparWKUqmEnZ0dGIYh+TFDDBvj6/W6KCZzYfUIy2q1kp7qer0uAmSjAT0G83Tm0gRvHyxgBm9Vc4CrIkS325UGbl3X0e12AVzlrhS+53nY29tDlmWoVCqSzJfLZUGJ5XJZQBTTgCAIRJHo6llcZz81qz7VanWtRYcpFImI+4zFYiECffnyJTqdDnK5HPb29gRQstmQVknl3N3dRafTEVqXLbdcJwDpwiBwJTpn86AK7Hq9HjY3NyUVY25v2zaCIEAYhjg/P7+fgFUh05Xoui5EQpqmePPmDVqtFnq9HrrdrrinQqEgzWrn5+c4OzvDbDaDaZpSIru+UJIcdFUsvKuoWkXUJEFms5kgzGKxKO2uH5ImMTxo2tXJRsuy4Ps+5vO5WBRDS6VSQRRFmEwmOD8/x3A4RLfble4Otrgy/1WZMBIcfF0nK9S2oXw+L0diJpOJ9ILzPTa/3xSK7hSDVaqMrmU8HqNer+P4+FjcMDsp1f4s0zSleA5cAbVSqYRWqyWUn6ZpcjSF3YZqcx15apVwoDuLokiKEmz1mUwmuLi4kGfeZX2qoMm9G4aBo6MjtFotWUOhUBBFajQaSJIER0dH2N/fF0Td6XTQarWED1AJCtd1MZ1Ope2GiLrVaskagfcVLioWy5L0FKSCNU27f0cH8B6AqB0GRJ1BEEDXdXz11Vdy7dbWFhqNhhxIY25aKBQEPbbbbWxsbCCXy0lsZT8Tj2swnrJ8pp7yo+AZn1zXRRRFUky/uLhAlmXY2dm5k4DVChR/54mN4+NjOQ/F3J0CyLIM5XIZ1WoVW1tbYk3cG3acAhDPRZqS8ZmFFrVeTotkKzBJG9aBwzDE8fGxeJ3/V5oErMdi4D23GoYhCoUCwjDEN998Ix2Rtm3LBgCQ+Mj44fv+mmtWD0AD7w8/A++9B5E1CxJUAra4ksz3PA+e56Hb7X7QyQZV0Mwa6J7fvHkjqJkpHeMf3XCj0UCn0wEAtNttbG1tIQgCTCYT8Tb5fF6wCYkL4H05koUWCpyecjQaCWrO5a4OG4zHY7x48eLG+HurgLno610MdJ88LddoNDAYDCTuqhUTboAab+bzuZzgI5fK1IHCY2ObmqLxXjwc7fu+xFkCO8dxUCgU0Ov15LO3jeVy+Z32I9KzbI2l1RWLRUHVQRB8pwODgmTBotlsCggkUUTiQq0pq/Vy7gGLGiQ0WLk7Pz+HYRioVquYTCY3do/e2UVzcoyBXJjneUjTFBsbGxgOhzg5OUE+nxfAQcJCTXcYj+iSmN8C79tdyGhxDkxluFE8NkrrBa4QPBF+s/nh//eFSlHyZ552PD4+FoZutVpJn3gYhmKJvD6OY4xGozWOnEPtOmGqQ6FyMPdmwYSKk6YpBoMBwjDE7u6unKSk5/hL41YXTUTLhXOSfD9JEpyenqJaraLX6+Hy8hL1el2sgN95wbQmn89jNpt9p0/req+wGpeuU6ZsQidQMQwDk8kEg8EApVIJGxsbwkLddXBtJDsoYJ7Q73Q6cBwHp6enkp+StFCRvOd5kuao/V3q2WoyehQun0sFTpJEuGYSK/l8HhcXF7i8vEStVkOn0xFcwhT1XgJWe53U+EQwwFh4cHAgzBWTfKY+KjKkZfP4I12W2qXIFwDp3rjemsoqFdMmFgF2d3dRr9fXGgluG1wjYzC9FPush8MhbNtGt9uF4ziSKXBeXCOLI57nSZgCIF6M1kxFvz4HCphcAIEj+6BHoxHSNEWv10Oj0RCvypMY9xIwH64CJmomhaRpGqbTKS4uLtBsNtcOczOXZcWH5AbrtrwnETBpOR4jVd04rYT8MMuDk8kEw+EQGxsb0sOtcsu3DSoK16wW+vnMP//5z9JNQm55Pp9LJwcFyaMuvCe9HEMPlUHtbeO/tF6iZirJcrnE8fExPM9Dr9dDp9ORwwAs6NxLwNdPIlDYXATzM7Wrn8c7eCiLWshT9/QEPJ+TZZl0btAiaH1cHC2LbTkEa/x+i4uLC7RaLWxtbUlKo36pym1DVWD+SyBEpsn3fXz11VdiOXyPzQjMd4n4WdZTvR6b96kIDEss1Kh90TQSdsnwjPLW1hZqtRqA919Md1Pnyp1QtNoNSHfLidDFMhEn2U4LVDvwWSvm92nkcjlJ3tV+LLpoKhYXzmeQyHccR45g0rrULkQK666DyszBrgkq5MXFhdSga7WaKByPudAgmPNSKYkVuC7GTnWP2R3CIg5TyPF4jMFgAMMwsLW1JVU33lNNtz5YwIyjKiHOA2I860rXylhBzTw6OpKfgSv+mg3vKmiiIOme1XjGzebXKqlA5uLiQoTb7/fFbZGJotJ8yKCbLBQKay1AwPvcn/Vw9RBeqVSSfi7m74zfPCCm1n+pyGTk6MKZQrLW6ziOnDve2tpCt9uVs8HcPxrZvQTMuqcqCMuy5Pwq3TNTGFZHyMPu7e2JMLn55FHVuKHWccvlsiBaAiq2prAf6ujoCI7jSCWr3++LcqhU5k3NaOq43tfF+MpYzHuxmQ4A9vf3BQWTXVIJCyo+DYO4gi/uGQkTcun8gpfhcIjxeAxNu/rCm36/L3vH/SIuuQlr3OqieUMiYjWlIbFP7aabAiCE/MHBgfRnMQXhRpHgqNfr4t5JiqjxljHXdV0cHx/DdV2Uy2U0Gg355hsqIFkzkjB3HXw2+75VwdB1M40rlUrwfR+Hh4diwSQ96H007eoEoe/7a5U4NXUimUFadjabYTwe4/T0FNPpVE539vt9KTqoPASB6r2Prqjfk0EmRe3IJxIkOqbgSA7w+yUODg6QJIl8zxW/7oj3oOWxQsUzwYy5rC/TckulkuTd7XZb3KWaNoVhiMvLyzsJVz1322q1ZM2cFxWYQHCxWKBarQqxw+ZDdlWapinxmPm4mheT1WNzIJWYa2SaWa1WsbGxIYULhh++aP03da48/a8rj3w8feP7Ix9PAn7k40nAj3w8CfiRjycBP/LxJOBHPv4P+v56tA0dBOoAAAAASUVORK5CYII=\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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Cluster 114\n" ] }, { "data": { "image/png": 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8mnGf0Lxv/Wk5YwNRliXOzs4QRZHMyR3HkUZFjfu7Ji5qEiPxoFqVWZvlqygKrNdrvH37Fq9fv5YHBHh/ldi8y81VtPfRgjPO0jTFu3fv5Emm09NTmWuRYqKAtDqXakU2IezE+FvCVQIUIrs3b97g3bt30oGRd1NJCe6ljrBphPuS25f/hfTY1hfBH9v6IvhjW49W8P8De+VoG5Ml2zAAAAAASUVORK5CYII=\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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xBLXZp6PoTK1jTdN2jqFQrUBprXkaggqU1WqFN2/esDvtrfHFYsGT0Q+PVAE3jYDz83Me6WiahtVqxSSECEWn08FsNsPr16/x66+/8u8BMCMkXt5ut3fOx5BmPyxCqHihYLbZbPD27Vv4vs85/bb1hwMFmpCqqsqtHGJKBD5JEkiSxBOQdru90woWBAGDwQBBEGC5XPIxMgJCXRXy5eaYtxm4aFGWIN6/Wq3YbWh/zfePrVvFQgSGCMjHIjlwY27dbhdBEGA6nTIhoVOQZVmyNjudDjcxqI1FgwjLspjFfex0JAGmjBBFER8j2W63XO6SUvauzmhc1JQc5ViKqOQCuq7DdV2Mx2MOTAcHBzsNS1VV0ev1sNlssFwuOZ9rmgbHcWDbNpMYampSTU8MkGqEIAgwm82wXC53Dg3Qnpqnp+4MvGmKFE2bJw2JbFCUJRr7yy+/8CTk8PAQvV6P51pkxqvVirk/cDMNtSxrZ0zVPOJFz4njGJ7nYTKZYD6f75yLaaY2orR7ASc/Il+iBzSHAxTlkyRBq9VCu93GZDLB8+fPeeRENJNoLVVZYRiyFZGW6BnNOpsYGvUBxuMx5vP5znGS5qFBAH8Y4P5Q4wSeQDZvTO0jirpUOdm2jfV6jWfPnqGqKnQ6HfT7fdi2/ZvITEMA2qSiKAiCgN2g2TentvV6veY9keA+BNwcRN4ZOAUw2kCzedfUePPhNDjMsgzj8RhFUeDJkyc8RCSaSsc9fN/nfrqqqjAMA+v1mjVNccb3fU6vFHeo2Uj7oX8nC7gV221+8P953dv/ofAJ+H1bn4Dft3Vvgf8PyMRazHiuMFMAAAAASUVORK5CYII=\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": 126, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.925" ] }, "execution_count": 126, "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": 127, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7" ] }, "execution_count": 127, "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": 128, "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 0.75\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 make_pipeline\n", "\n", "for n_clusters in k_range:\n", " pipeline = make_pipeline(\n", " KMeans(n_clusters=n_clusters, n_init=10, random_state=42),\n", " 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": 129, "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": 130, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.8125" ] }, "execution_count": 130, "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": 131, "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": 132, "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": 133, "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": 134, "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": 135, "metadata": {}, "outputs": [], "source": [ "X_bad_faces_pca = pca.transform(X_bad_faces)" ] }, { "cell_type": "code", "execution_count": 136, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-2.43643155e+07, -1.89785076e+07, -3.78112304e+07, -4.98187624e+07,\n", " -3.20479025e+07, -1.37531223e+07, -2.92373893e+07, -1.05489052e+08,\n", " -1.19575385e+08, -6.74256722e+07])" ] }, "execution_count": 136, "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": 137, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1163.02020896, 1134.03637872, 1156.32132776, 1170.67602757,\n", " 1141.45404815, 1154.35205101, 1091.32894383, 1111.41149448,\n", " 1096.43049063, 1132.98982647])" ] }, "execution_count": 137, "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": 138, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 3.78, -1.85, -5.14, ..., -0.14, -0.21, 0.06],\n", " [ 10.15, -1.53, -0.77, ..., 0.12, -0.14, -0.02],\n", " [-10.02, 2.88, -0.92, ..., 0.07, -0. , 0.12],\n", " ...,\n", " [ 2.48, 2.96, 1.3 , ..., -0.02, 0.03, -0.15],\n", " [ -3.22, 5.35, 1.39, ..., 0.06, -0.23, 0.16],\n", " [ -0.92, -3.65, 2.26, ..., 0.14, -0.07, 0.06]],\n", " dtype=float32)" ] }, "execution_count": 138, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_train_pca.round(2)" ] }, { "cell_type": "code", "execution_count": 139, "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": 140, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.00019205349" ] }, "execution_count": 140, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reconstruction_errors(pca, X_train).mean()" ] }, { "cell_type": "code", "execution_count": 141, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.0047073546" ] }, "execution_count": 141, "metadata": {}, "output_type": "execute_result" } ], "source": [ "reconstruction_errors(pca, X_bad_faces).mean()" ] }, { "cell_type": "code", "execution_count": 142, "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 (ipykernel)", "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }