{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 15 - Unbalanced Datasets\n", "\n", "by [Alejandro Correa Bahnsen](http://www.albahnsen.com/) and [Jesus Solano](https://github.com/jesugome)\n", "\n", "version 1.5, February 2019\n", "\n", "## Part of the class [Practical Machine Learning](https://github.com/albahnsen/PracticalMachineLearningClass)\n", "\n", "This notebook is licensed under a [Creative Commons Attribution-ShareAlike 3.0 Unported License](http://creativecommons.org/licenses/by-sa/3.0/deed.en_US). Special thanks goes to [Kevin Markham](https://github.com/justmarkham)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Background\n", "\n", "Unbalanced classification problems cause problems to many learning algorithms. These problems are characterized by the uneven proportion of cases that are available for each class of the problem.\n", "\n", "Most classification algorithms will only perform optimally when the number of samples of each class is roughly the same. Highly skewed datasets, where the minority heavily outnumbered by one or more classes, haven proven to be a challenge while at the same time becoming more and more common.\n", "\n", "One way of addresing this issue is by resampling the dataset as to offset this imbalance with the hope of arriving and a more robust and fair decision boundary than you would otherwise.\n", "\n", "Resampling techniques are divided in two categories: \n", "* Under-sampling the majority class(es)\n", "* Over-sampling the minority class" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from sklearn.datasets import make_classification\n", "from sklearn.decomposition import PCA\n", "plt.style.use('ggplot')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "\n", "# Generate some data\n", "X, y = make_classification(n_classes=2, class_sep=2, weights=[0.9, 0.1],\n", " n_informative=3, n_redundant=1, flip_y=0,\n", " n_features=20, n_clusters_per_class=1,\n", " n_samples=1000, random_state=11)\n", "\n", "# Instanciate a PCA object for the sake of easy visualisation\n", "pca = PCA(n_components = 2)\n", "\n", "# Fit and transform x to visualise inside a 2D feature space\n", "x_vis = pca.fit_transform(X)\n", "\n", "# Plot the original data\n", "\n", "def plot_two_classes(X, y, subplot=False, size=(10, 10)):\n", " # Plot the two classes\n", " if subplot == False:\n", " fig, subplot = plt.subplots(nrows=1, ncols=1, figsize=size)\n", " \n", " subplot.scatter(X[y==0, 0], X[y==0, 1], label=\"Class #0\", \n", " alpha=0.5, s=70)\n", " subplot.scatter(X[y==1, 0], X[y==1, 1], label=\"Class #1\", \n", " alpha=0.5, s=70)\n", " subplot.legend()\n", " return subplot\n", "\n", "plot_two_classes(x_vis, y)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.1" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Part 1: Under-sampling\n", "\n", "## Random - Under-sampling\n", "Randomly select a percentage of the negative class such that the resulting dataset is balanced" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1000\n" ] } ], "source": [ "n_samples = y.shape[0]\n", "print(n_samples)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "900" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_samples_0 = (y == 0).sum()\n", "n_samples_0" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "100" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_samples_1 = (y == 1).sum()\n", "n_samples_1" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.1" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_samples_1 / n_samples" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How many negatives cases should I select if I want a new dataset with 50% of positives?\n", "\n", "0.5 = n_samples_1 / (n_samples_1 + n_samples_0_new)\n", "\n", "(n_samples_1 + n_samples_0_new) = n_samples_1 / 0.5" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "100.0" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_samples_0_new = n_samples_1 / 0.5 - n_samples_1\n", "n_samples_0_new" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.1111111111111111" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "n_samples_0_new_per = n_samples_0_new / n_samples_0\n", "n_samples_0_new_per" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create a filter to select `n_samples_0_new_per` from the negative class" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Select all negatives\n", "filter_ = y == 0\n", "\n", "# Random sample\n", "np.random.seed(42)\n", "rand_1 = np.random.binomial(n=1, p=n_samples_0_new_per, size=n_samples)\n", "\n", "# Combine\n", "filter_ = filter_ & rand_1" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "109" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "filter_.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Also select all the positives" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "filter_ = filter_ | (y == 1)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "filter_ = filter_.astype(bool)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "plot" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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RiAoIAeQNExOzy5hZ1DG2b0doAysGVUQeJ00D8uRzkLksRCIBIQRQyENOvQzMzgBHxhhYEQBmD8gZk3MryK0HVJUSUYHschGTcysYHehx6ezcxZoqIo+T05OQuXmIRPVgYZFIQOauljJYFHrl7MHE7DLyhlmVPRg/swDDlG6fIgXEudwa4tHaQXoiKnAut+bwGXkHgyoir7twFiIRr/mQSCRKo10o9KxkD4hU0ItmR48HGYMqIo+Teb3xE5o9TqHA7AE5JRFtHDo0ezzIwvvOiXxCxBONn9DscQoFZg/IKUPJLuSLtZeT9aLEULLL4TPyDhaqEymmfKfe4DDk1ETNJUCp6xDDBxWcNfldIqohb9QPnMKcPSC1Rvq7MbOoI7tcvdysFyVSPVGM9He7eHbu4m8ZkUIbO/WmXgYK+aqdevLkOKRptHxMsX8EIpmC1KuX+aSuQyT7IPaPqDp98jFmD8gpEU1gbN8OjA70IB7RICUQj2gYHegJdTsFgJkqIqWa7dTD9CSwq7+lYwotAhwZK33vhbOlGqp4AmL4IPtU0QZmD8hJEU1gdKAntK0T6mFQRaSSpZ16D7R8WKFFIA6OAgdHOzxBCqpy9mBzn6oDfexTReQUBlVECsm8Xlryq4c79chGzB4QuYs1VUQKcaceEVF4MagiUmlwGFLP13xI6jowOOzwCRERkVMYVBEpxJ16REThxZoqIoW4U4+IKLwYVBEpxp16REThxOU/IiIiIgWYqSLyEeUjcIiISBlmqoh8wo4ROEREpA6DKiKfaDYCR05PunRmREQEMKgi8g9LI3CIiMgtDKqIfEI2G3HDEThERK5iUEXkExyBQ0TkbQyqiPyCI3CIiDyNQRWRT3AEDhGRt7FPFZGDpGlAP/UCzFd+03KfKY7AISLyNgZVRA4p95nKry0DhlnVZwqzM8CRMUuBFUfgEBF5E5f/iBxyo89UV9XX2WeKiCgYOs5UpdPpdwH4fwHsBmACeCaTyTzd6XGJAsdKnylmoIiIfEtFpqoI4MuZTOYAgA8C+Hw6nT6o4LhEgcI+U0REwdZxpiqTycwCmF3//9fT6fRvAdwK4HSnxyYKEhFPAIXaLREAhLrPlGFKTM6t4FxuDXrRRCKqYSjZhZH+bkQ04fbpERFZorRQPZ1OvxvAYQDP13jsGIBjAJDJZJBKpVS+9IZoNGrbscOI11Md/b3vQ/7Uv0PTNHR3d1c9JvU1xN/7PiRCeK0NU+LvT83iypKJrkQXouux5WvXTCwYBTzy3oGGgRU/o+rxmqrF66meV6+pkFIqOVA6ne4F8D8A/O+ZTObvmzxdXrp0ScnrbpZKpZDNZm05dhjxeqpT2v03jm1rS1g1zBtfL/eZsrD7z4s6zTJNzC7j1Owy4tGtz9WLEqMDPRgd6Kn7/fyMqsdrqhavp3pOX9M9e/YAQNO/0JTs/kun0zEAxwH8yEJARRRKQotAHBlDfPT3gFgckBKIxSEOHfZ1QPXc6wuYmF1G3jAhBJA3TEzMLmP8zAIMs/k/2s7l1moGVACQiAqcy62pPm0iIluo2P0nAPw/AH6byWT+r85PiSi4hBZB4s4PQLt1r9unosTk3ApyK0UkNgVFiahAdrmIybmVhlkmANCLpWCs0eNERH6goqbqHgCPA5hMp9MT61/7XzOZzHMKjk1EHmYly3Rnf1epB9eFszW7yCeiGvJG/cApEWU7PSLyBxW7//4VFtYZiSh4mmaZCkXIk89B5rIQiUTNLvJDya6GNVUH+rpqHJmIyHv4T0AialuzLFI8d2W9i3x1u4jKLvIj/d3Y2ROFXqyuv9KLEqmeKEb6q3dKEhF5FYMqImrbULIL+WLtYnS9KDF0faZpF/mIJjC2bwdGB3oQj2iQEohHNIwO9GBs3w72qSIi3+BAZSJq20h/N2YWdWSXq4vVy1mmQzKHhuuD613kI5po2jqBiMjrmKkiorY1yzJFE026xIe4izwRBQ8zVUTUkUZZJnNwGHJqouYSoNR1iGGOCSWi4GCmiohsI/aPQCRTkHr1sOiNLvL7R1w6MyIi9ZipIiLbCC0CHBkD1vtUIa8D8QTE8MGNPlVhwsHRRMHGoIqIbCW0CMTBUeDgqNun4qrySJ/59Q70lSN9ZhZ17nQkCgAGVURELWon46RipA8ReRtrqoiIWtDuEGkOjiYKPgZVREQtsJJxqqXZYGgOjibyPwZVREQtaDfj1GykDwdHE/kfa6rINdI0INd3hcm8DhFPAIPDW3aFWX0ekROaDpGuk3Hi4Gii4OM/jcgV0jQgTz4HOfUyUMhDCAEU8pBTL0OeHIc0jZaeR+SUdjNOHBxNFHwMqsgVcnoSMjdfGqpbQSQSkLmrpcxUC88jckrTIdLJ2hknDo4mCj4u/5E7LpytOboEKAVMuHC21NfI6vOIHNJsiHSjjBMHRxMFGzNV5AqZ1xs/Yf1xq88jcgozTkRUDzNV5AoRTwCFfP0nxBMtPY/IScw4EVEtDKrIHYPDkFMTNZf2pK5DDB9s7Xnlr3GnIBERuYTLf+QKsX8EIpmC1KuX76SuQyT7IPaPtPQ8gDsFiYjIXQyqyBVCi0AcGYM4dBiIxQEpgVgc4tDh0tfXs0pWnwdwpyAREbmLy3/kGqFFIA6ONt29Z/V53ClIRERuYqaKAoM7BYmIyE2By1RJw4B5eoKFyiHEnYJEROSmQGWqpGlgZfw4C5XDanAYUq8dVEldBwaHHT4hIiIKk0BlquT0JMzc1bqFypieLNXmUCCJ/SPA7Azkps9ArZ2C5A+GKTE5t4JzuTXoRROJqIahZBdG+rvZZJOIPCdQmSpcOFtaAqpho1CZAquVnYLkfYYp8dzrC5iYXUbeMCEEkDdMTMwuY/zMAgyz9vw9IiK3BCtTldeBWIO3xELlwLO8U9BD2LC0tsm5FeRWqufrAUAiKpBdLmJybqWjjubMghGRaoHKVNXLUm1goTJ5DBuW1ncut4Z4tHZwk4gKnMuttX1sZsGIyA6BCqowOFx3Wz0LlcmL2LC0Pr1odvR4I1ayYERErQpUUCX2j0BL7rI00oTIE6w0LA2pRLTxX0/NHm/EziwYEYVXsIIqLYLusUdYqEy+wYal9Q0lu5Av1l6G04sSQ8muto9tZxaMiMIrUIXqACAiEWg+K1Sm9gShwJsNS+sb6e/GzKKO7HL1Mp1elEj1RDHS3932sRNRDXmjfuDUSRaMiMKLf3OQLwWmwJsNS+uKaAJj+3ZgdKAH8YgGKYF4RMPoQA/G9u3oaIeenVkwIgqvwGWqKByaFXj7pdErG5Y2FtEERgd6OmqdUIudWTAiCi9mqsifAlLgzYal7rAzC0ZE4cVMFfmSzOulJb96fFTg7ceGpUFgVxaMiMKLmSryJTZ6JSIir2FQRf7EAm8iIvIYLv+RL7lV4B2ENg5EXsDZixREDKrIl4QWAY6MAesBDvI6EE9ADB+0LcDZaOOQy0IkElVtHDA7A7CwnHysMsjR4ssw82u2BTnl2Yvz66OCKmcvzizq3CxAvsWginzL6QLvoLRxINpsc5DTLYA1G4McK7MXuYGA/IhBFZFVTdo4yDfPwFx/HpcGyU+cDnKszF5kUEV+xEJ1IosazemTUgKvv+r/Du8USk4PmObsRQoqBlVEFjVs45CdA/L5ukuDcnrS5rMjap/TQU6z2YqcvUh+xU8ukVUN2jhg/iqws6/mQ37q8E7h5HSQw9mLFFSsqSKyqFEbB8TjQGpX/W/2UYd3tzi9xZ5b+m8YSnbh1OxyzSVAvShxoE9tkMPZixRUDKrIMX7v8dSojYPs6YEoFut/Mzu8N+T0Fntu6a/mdJBTnr24Oag90BfOoJaCg0EVOSIoPZ7qtXEwAcipiZq7A6WuQwwfdOgM/cnp3Wfc0l9tc5AjURowbWeQw9mLFEQMqsgRQe/x5FaH96Bweos9t/RvVRnkpFIpZLNZt0+JyHdYqE7OaNLjye+F3EKLQBwZgzh0GIjFASmBWBzi0OHS132QhXOT07vPuKWfiOzATBU5Qub10pJfPQEo5Ha6w3uQJKIa8kb9QEb17jOnX4+IwoF/c5AjGvZ4AljIHXJOb7Hnln4isgMzVSHkyi68wWEWclNdTu8+45Z+IrIDM1Uhs7ELz+FxKmL/CEQyVerpVHk+LOQm3Nh9NjrQg3hEg5Sl3WejAz22tDdw+vWIKByYqQoZt3bhNerx5Jc+VWQvp7fYc0s/EanGoCpsrOzCs6nQmoXcRFQLu9tTUDCoCpkw7MKj+vze1Z68p9OAiN3tKUgYVIWMiCeAQp2hwAB34bXAbwFKULrak3eoCIjY3Z6ChEGVB9l6s3Z5F57fApF6/BigBL2rPTVmxxKbioCI3e0pSLj7z2Ps3p3n5i48t3Ye2qFZgCKnJ106swYC3tWe6itnlCZml5E3zKqM0viZBRhm7Z5dzVgJiJphd3sKEgZVHmP3zXrzOBUpTciFLLB8HfL6AuQ/Pwvz9IQtAY4vA5F6fBigyGb1cqyn22CYEhOzyzg+NY+/PXUVx6fmMTG73Hbw4TYrGaV2qAiImnWvZ3d78hN+Wr3GgZu10CLQDo5CPPRxiN5bgO6bIJKp0nKVnZkjHwYi9fgxQGFXe2vsyuq4SUVGqfb3dh4Qsbs9BQmDKo9x8mbtdObIK4GINA2Ypydgjv8Uxj/+COb4T1vOzvkyQBkchtRrb1KQug4MDjt8Qt5kV1bHTXYtsakIiEb6u7GzJwp903HY3Z78SEmhejqd/j6A/wDgSiaTuUPFMcPK0d15ljJHDyh7OS/sPFRWYO7DsTti/wgwOwOZu1oVSKuqpwvKJoQgFk7bNUBaxbifcnf7zUX0B/rYp4r8R1Wm6ocA/kDRscLNwWyC45kjD2RKVGXn/Dh2Z3M9HaQEYnGIQ4dLX+8g8AnSJoQgFk7btcSmatxPubv9Hx3aiU/d2Yc/OrQTowM9DKjId5RkqjKZzC/S6fS7VRwr7OzOJlS9lsOZIyffW12KOsp3OnbHrayOXV3tg9Suwa6sjpvsHCDNcT9EN7BPlcc4OiPP4SUsL8z/U9lRvt0ARRr+63HVlIvjj1QbSnbh1OxyzSVAvShxoM9/hdOqltg4ToaoMceCqnQ6fQzAMQDIZDJIpVK2vE40GrXt2I7a1Q+V9Uy1yHuOYGVxAeb8HETixo1C6mvQ3vVudN9zxJ7r6cB7q2dpR7Jx4BRPoNfmz0/x1IuIv3UO5tIiUCwC0Si0HSlEdg0Aa0uIz76FxJ0fsPUcVFuKRoBYg2yHhG3XVfVn9EhyJxaMWVy5rqMrdiMrtVYwMZhM4MihAd8GEP27rP3m1bqmhinx96dmcWXJRFeiC9H1pORr10wsGAU88l7/Xhe7Bea+5CFevaaOBVWZTOYZAM+s/1Fms1lbXieVSsGuYweR/N3f31iGKmeOsHc/xP4RrC4sBO56mqmBxtm5Q4exZuP7laaByM/+DoXcPBBdz0YVC8DFN4HsFWDvPqy+8htot+617RzsYBaNxkvJsbht19WOz+jv74lhcq5QlZH5nWQXRvpjWMjNK30tL6p1TSdml/HW1VIGb6VQ/fwLV1ZxcqrAJcA6gvb3qBc4fU337Nlj6Xlc/gs5u2psvMrtui45PQl5/Z0bAVVZNAKsrgDZOSDVb+s52MKHuyEbYZ3QVkHcFUmkmpKKy3Q6/WMA/wbgd9Lp9Ew6nf6siuMSqWbnDjhLLpytWmqtEo0A13Le7HHVhB93Q1Jrgrgrkkg1Vbv//ljFcYic4GZ2TuZ1aDt2AjMXgEiNAC7vzyacXtiEQPYK4q5IItW4/EfkIBFPlArSs1eA1dXqZcCiAfTe7NusTtiWksPG6V2R3GlIfsSgishJg8PAm68Be/eVAqt3coBhlLJWvbcA937U1qxOULqek/Ps7HW1WXn+4vz6uKDK+Yszi3pLjUWJnMSgishBYv8ItMUF4OKbEH27gb7dACpqjw7eadtrKxvRQ6Hk5DgZK/MXrRTFM9tFTmNQReQgoUXQPfYIln950vHaoyB1PXcSs3s3OLUrUsVOQ2a7yA0MqijwvHZTFJEINDdqjwLU9dwpzO65Qy+aaDT4wMpOQ1XZLqJWMKiiQONN8QaVI3rCwunsHperSlTsNGRfLXIDgypSxmuV0i5jAAAgAElEQVQZIYBLXpWcHqAdCA5m97hcdYOKnYYqsl1ErWJjEVJiIyM09TJQyFdlhOTJcUjTcOfErNwUw2JwGFKvHVRJ3Z/9sewmm2XvFGb3rCxXhcVIfzd29kShF2XV11vZadgsm9XoccOUmJhdxvGpefztqas4PjWPidllGKas+z1EADNVvuPFbBDg3YwQl7xucHtEjx85md2zY7nKr8uJKnYatpvtYsaQOsGgykc8XR/k0SJoLnndwK7nbXBwpqHq5Sq/Bwed7jRst68WC9ypEwyqfMSr2SDAwxmhgA367RS7nrfGyeye6jEwYQ8O2s12scCdOsGgyk88mg0CvJsR4pIXdcLJ7J7qMTAMDtrLdrHAnTrBoMrjqmqoJl8EIlFgexJI9W/NDLlZH+TRjBCXvKhTTmX3VI+BYXDQHg6Opk4wqPKwzTVUiEZLc+KuXAauL0Lu3VcdWLlYH+TljBCXvMgPVI+BYXDQHqcHR1OwMKjysC01VLckgauXgWgEWF0BsnPVs+NcrA9iRoiocyrHwKgODvy6k7BVTg6OpuBhUOVlm2uoUruA6+8Aq6ulwOpaDujb7YlsEMCMEJGXqAwO/L6TsBVODo6m4GFQ5WGbd9QJoUHu3QdkrwDv5ICiAcTizAYR0RYqg4Ow7SR0anA0BQ+DKg+rtaNOCK205Ne3G4jFoY096tLZEZHXqQoOuJOQyBpWKnoZx4oQkQc02ynInYREJQyqPEzsH4FIpkoBVAWv1FARUTh0MkePKEz4m+BhQotAHBmDOHQYiMUBKUs1VIcOl77OGioicsBQsgv5Yu1hwnpRYijJNgNEAGuqPMmrQ5OJKJzYZoDIGgZVHuPpoclEFEpsM0BkDYMqj/H00GRm0IhCi20GiJpjUOU1Hh2a7EQGjUEbERH5GYMqj9nc8HMLl4Ym251B89KyJ4M7IiJqB4Mqj6nV8LOKW0OTbc6geWXZ0+3gjgEdEZF/MajymsFhyKmJmgGMm0OTbc+geWTZ083gzu2Aruo8GNgREbWMQZXHiP0jwOwMZO5q1Y3d7YafdmfQPLPs6WJw54VsnVcCOwoWw5Rbdg4OJblzkIKHzT89xrMNP20emSOaBWUOLXvKZsGbncGdlYDOZs0COzk9afs5ULAYpsRzry9gYnYZecOEEEDeMDExu4zxMwswzNpNRYn8iJkqDxJapJSRcKl1Qi22Z9A8suzpZk2bJ7J1HlmGpeCYnFtBbqW6aShQGsScXS5icm6FbRooMBhUkSVCiwBHxoD1WhvkdSCegBg+qKTWxjPLni4Gd04HdLVqp+TbF4C+fghRJ4nt0u5T8q9zuTXE1wMqU0pcWSogt1qEYUpENIHreYPLgBQYDKqoyuYb7dKOJMzUwEbgZFcGze6gzfJ5uBncORjQ1audQi4LLC1C7t1XO7Bya/cp+ZZeLC35mVLizPwaVgtmKYASAoYELr6jY/zMAsb27WBgRb7HoIo21LzR5nXHipS9sOzpZnDnZEBXr3YKO/uAy28D2StA3+7q73Fx9yn5VyKqIW+YuLJUuBFQVT4e0bgMSIHBoIo2VN5opZRAdg75lSVgdRXy/OuQeR3aQx8L/O4vt4I7RwO6erVTqX7g+iIwf7UqqHJ79yn511CyC6dml5FbLW4JqAxToq83hkRU4FxujUEV+R6DKrph/UYrpQTOnwFWV4BtXUD578HJFyHjCW6rt5FTAV3Dovjem4BLC5BnTpf+nNoFvP/DEAfu5M+dWjbS342ZRR1TVyWiFUGVYUp0xzTs6o0BKC0TEvkdgyrasHGjzc6VAqrophuogOtDnUmNWkXxVcF0700bS31S1yEuXwIO3OnGqZLPRTSBsX07cH5Bx5WlwkaBel9vDLt6YyjHWYlo6x1+2P+KvIZBFW3YuNFey20NqAAgEuG2+gq+7jxeqyi+HEwDwC3JjS87PSqIgieiCdw7eDNOzS5v7ASspBclDvR1tXTMcv+r+fV2DZX9r2YWdRa+kyvY/JNuKDf4NIytjxWNGzdabqu/UdQ/9TJQyFd1HpcnxyHNGtfQQ8T+EYhkqtS4texarvTfbdtKS36Vz3eo+SgF10h/N3b2RKEXq5t96kWJVE8UI/3dLR3PSv8rIqcxU0UbNnafnX+t+oGiUX2j5bZ6T4yU6UTNongA2LUbSO2q3U7Bh8G0X5eH/HrejZSXASvfV0wTiCcEVgsm/m4y29L7rOx/tRkL38ktDKpoQ/lGK/M6MPliqUA9Eq260XJb/boAdB7fXBRvjv/UtW7ydvDr8pBfz9uKiCYwOtCD0YGejt9nuf9Vo8eJnMblP6oitEipbcL77gHe/R7ED7wXom/3jYCK2+oBuDwj0C42z3d0ml+Xh/x63q3q9H02K2xvp/CdqFPMVNEWVUtD2VlgebmUpRjaDykB/POzMP1WmN1Eq0Xnbs4ItItnRgUp4sXlISvLel48bzt0+j7L/a9UFb4TqcCgimoqLw31ph7AWjZbKrxe77aOirEmTnVbt1O9kS0N35tHBkCr5JVRQap4bXnI6nKXm+ddDvpmz69iYXHJ1lquTt9nuf9Vdrk629Vu4TuRCgyqyBK/F2Y30s57C1pWp8yO5qNuFV2Xx6M0etxJVpa7Rgd6XDvvyqBvx809ttdydfo+axW+J6IaDvT5u6Cf/I2LzmSNlcJsv2rjvQktAnFkDOLQYSAWB6QEYnGIQ4dLX/dZVscu5Rv1xOwy8oZZdaMeP7MAw5TND9KmoWQX8sXax9eLEkNJZ5eHrCx3Ae6dt9O1XCreZ7nw/Y8O7cSn7uzDHx3aidGBHgZU5BpmqsiShmNNAH8WZq9r9715YQC011nNztjBa8tDVpe73Dpvp2u5vPbzIVKBmSqyRDQrvPZhYXZZkN+b26xmZ+xQXh4aHehBVBOYXczjtewacqtFrOZNTM6t2Jop28zqbrXK845HNEgJxCMaRgd6bG2n0KyGSXUtl1vvk8hOzFSRNQEszN7g8ffml3E4tc5zLfY7EH39dTOBdheLRzSBkf5uXHxHR7I7hoGbS+dRlNLxvk+t7Far7OfkFDdqudx4n0R2YqaKLKk51gT+L8wGvP3e/DIOp955xq9eAs6fLQ1rrsGJYnGv9H1SPaZFNa/VoBH5EYMqsiTIhdlefm/NdibK6UmXzqxavfMcTujQV1eB7JUt3+PUjdrNJchKXl/u8nrQR+QHXP4jy4JcmO3Z9+aXcTh1zvOOyBIuxrowfy2Hrr7+ja87eaP2Ur8qLy93VbYomF3TsCzBFgVELWJQRb7gl7oi1ZrtTJT5NZinJ1y/LvXOMyKAsVgWrxZ78EZEc6WXkNf6VXlZOeh7IJVCNpt1+3SIfIdBFXleWx3PA6LROBwpJfDWech8wfXr0ug8IwK4s7uAw4d2OnIum3GcCRE5hf9EI8/zS12RLRoMOcbsDBCNe+O6eHgYM2uFiMgpzFRRyxxfivNLXZENGo3DQSEP3L639vc5fF28PLaH40yIyCkMqqglbizFBbmbezONhhzLWBRCNEg2O3hdvD6M2csF4lSbWzMjiTrBoIpa4sZg5Ub1OgB81/FcGkZLxeX1diaaF8566rp4dgcl+U7lcOdEVNg+3JlIFQZV1Bo3luI83vG8FdI0sDJ+HPLihepM36svQb78a2BHEigUrC2pBui6OIGZD/9wc2YkUSdYqE4tkc2WlGxYcvJyx/NWyelJmJvrjqQELr0FvPk6MDtjuWt6kK6L3cqZj4nZZeQNsyrzMX5mwdEZgNScVxq2ErWKQRW1xI3hw17ueN6yC2e3XsPsHLC6Urp27+Q2vtxsF1+grovNvDKqhqxxergzkSpc/gsRJbv2XFpysrtex6kdjTKvA7FNv3bXckB0/TWM6qxUsyVV1jFZYyXzweUk72DDVvIrBlUhoWrXnpe3zrfLyR2NNTN9hgGU7/eRGq8T4N2NTnFiVA1rttRhw1Z/4u8Ag6rQULVrz+tb59vh6I7GwWHIN1+r/lokApgGUDSAZN/W7/HZ7kYvsjvzoXK3Gm9MpYatM4s6ssvVS7Zs2Opd3LFZwqAqLBTu2gvckpOTOxrfcxDmbycgz71Wyk6VM1O6DvTeBKR2VT2du/jUsDvzoWq3Gm9MJWzY6j/csVmiJKhKp9N/AOBpABEA38tkMv+HiuOSOmFuoNmMU9dGmgbwP/4ZWjwB7Owr1VIVjY0CcwzcXtXM089Lql5jd+ZDVc0Wb0w3sGGrv7BusaTjar90Oh0B8C0AYwAOAvjjdDrNf1p7jBu79vzCqWuzscy4bRtE326IfetLpgfeC+x9D3Dzdu7is0k58zE60IN4RIOUQDyiYXSgR0n2R9VuNbYSIL/ijs0SFZmq3wVwNpPJvAEA6XT6/wPwhwBOKzg2qaJg157jM/+c4tSOxkbLjF1dACS0sUfVvBZtYWfmQ1XNlhMF9XZgHRhxx2aJind5K4CLFX+eWf8aeUinjSI3dshNvQwU8pYbVPqBU0003WicSs4YSnYhX6zdQFQvSgwlrdVsNbvxePHGxMaqBKj7HfA7FZmqWv8M2XJl0+n0MQDHACCTySCVSil46a2i0ahtx/Y7+ejjyL/6EgrnpkuF0YkEYkP7Eb/jLohaW/lx43rqp15AXl+B2LGj+gnd3ZBrS4jPvoXEnR9w4F3Yo51r06qlHUkgr0PTNHR316jhiSfQy89uy7zwO38kuRMLxiyuXNfRFbsR+KwVTAwmEzhyaMBSxuauvRG8cOEaErGtwdNawcRdg9uRSu2o8Z1qtXJNX3hrAasyhh03Vy+TdwNYLph4ay2KD9xu/zl7mRc+o3ZT9TtglVevqYqgagbAuyr+fBuAS5uflMlkngHwzPofZTabVfDSW6VSKdh17EC4dW/pf+vWAGBhoe7Ty9fTfOU3paLqYu3O06uv/AZaxXF9qcVr0yozNQA5NYGeHduxslJ9HaWuQxw6jDV+dlvmld/5398Tw+RcoWoJ7HeSXRjpj2EhN2/pGLd3SUxpBWQXaxfU395VrPteVS7BtXJNXzo/D8MwsVKo9/gV7O32byZbBa98Ru2m4nfAKqev6Z49eyw9T0VQ9QKAfel0ei+AtwF8EsCnFByXPIS7Bzu30Th1banq637e5RfYOrs2qKjZareVgJutGPxaB0bqccemgqAqk8kU0+n0/wTgn1FqqfD9TCYz1fGZkaeIeAIo5Os/IcS7B60qN06Nvf0mVn7+X4HsldIDO3dBHriz5jq6CnYFPk52og+Tdm5MbrZi8GuBMovryQ5K+lRlMpnnADyn4ljkUS7N/Asi4+0LQPdNEPtu1API356CnLukPBCxM/BxtBM9NeRWj6BSEXopOIEsBYTJbVHs6o1BE94dKcMmq2QXb/4TgjzHqR1yQSenJ2FumpsI3AhE5PSk8tdrFPh09HpWOtGTI9zoEVQOTBbXDMQjAoaUMKTE5aU8zs6vYrVgenakjJXMHlE7OKaGLAnizD871Vtyk2+eKf3/GgX/ykfiALaO4GGdnXe4sQRXDky6Yhr27ezClaUCcqtFQCtlqG7ping248Pu32QXBlVkWeBm/tmk4ZLb229Cbrp+UkogO1caW2MYMAFlxd52Bj6ss/MOu2cb1lIZmGhCYPdNcey+qTKAF54MqAAW15N9GFQRKdZwyS2fh3FltjSSBusB1fkzwOoKEI2U/mex5slKAbqtgQ/r7DzD7tmGtfg5MHEys2eYEi+8tYCXzs+zID4EGFRRYLm23b/Bkht29sG4eiOoQnbuRkBVNIBkH4Dmxd6WC9BtDHw2WkRsqhFjnZ3z2m3F0Am/7voD2s/stbpjsFx3tiJjMDd1m2dBfDAxqCLlvNC7yM3t/g2X3FK7IPTVUuCRSJSW/MoB1bZtQGrXxlMb1TxZ3XlnZ+DDOjtvcbpHkBtLjqq0k9lrZ8dgue5s+82JquaoTrS6IHcwqCKlvNK7yM3t/o2W3ITQEDs4iuKuW0uBiGGUgqpkXyngEpv+dV+v5sliAbrdgQ/r7MLLjSVHVdrJ7LXTC4wF8eHDoIqUUhHMKMl02bjrrakmS27xfQeh37oXODhaKkpvo+aplQJ0Bj72KS8HnZlfxcVrOhbzJm5ORPCum+PYl9oW6LoZN5YcVWo1s9dOgNRK3RmbkQYDgypSq8NgRlWmy83t/s2W3OJ33HVjpmCbNU/ceeeOyhvfasHA+Ws64hqwUjCxWjCxVpSYeWcNr11dwW9ml/D8TAL/6XA/4h6uL+qEl8aS2B2UtFOYb7XujM1Ig4NBFSkl9TVg/spGewBEIsD2JJDqLwU5TYKZdjNdm7NbOP865E231F5SA2wNOpouuUVuBIVt1zxx553jNt/4ri4XsaQbWM4bWCua0IRAUUpoECiYEit5E69ndXz/pSv40/f3+/am6IcMihNBSTuF+eW6s1oLoZV1Z26OGSK1GFSRMtI0gIvngaXrpTohAcA0gCuXgeuLkHv3lTIsjbSR6aqV3ZI33QJcfhu4/k7pdSsCKyeCDqtLbu3WPHHnnfM23/hyq0VENAHdkFgzTEAKdK3fWDUhsFo00ZuI4K13dN/cFMsB1Oz5VSwsLiGmCcyvFpCIaOiKaZ7NoDgRlLRTmF+uO1sumFueX1l3xtqr4GBQRcrI6UkgGseWycDRSKltwOwM8PsPNT5GG8t2NbNbqX7g+iKwvFgaXNy3u/RcDwYd7dQ8ceed8zbf+AxTAqLUa8w0AQlZ9XxZ/qOEL26KldmeHTf3QAhgZjGPtxfz6E2UuqZr67+bXsugOBGUtFOYX647e2stipfOX6lbd+bnnl9UjUEVqXPhLLDnVkBfAVZXS8FUpUK+aTDTVq1QjeyWEAJy775SH6jr75SCrIAFHSxAd9bmG19EK827E0LAlFufX35uRBO+uCnWyvbkVouIRwVWCyauLBWqOqZ7KYPiRFDSbmF+RBP4wO07sLfbqHtsP/f8omoMqkiZUpZJWw9mrgDvVNRVJfuAnX3Ng5k2aoXqZbeEEKUMVaof2h8+1vjcPdBbi7xt840vuS2Ky0t5bItquK4bVTd1U0r0xiIwTIm+3pgvboq1sj3lbFxEE8itFjeNofFOBsWpoMSuwnw/9/yiagyqqCmrAUc5yySEVgpm1pfcNsTqdBmv0E6tUKc74bzSW4u8bfONb1dvDIt6EVIC8UgpawWUAqpYpFRf1R3TcEtXBEPJzm+KbuxuK2fjAGz8t5JXgkW/ByV+7vlF1bzxG0GeJY31gGPq5fWA6UbAIU+Ol4rTywaHIfXawY3UdWBwuOnrCS0CcWQM4tDhUhAmJRCLQxw6XPp6reCmw9dttuNQTk82PW8KvpH+buzsiUIvloILTQDDO7dhZ08Uw8ku7OqJQQigNx5BX3cMAzfF8a5bEtjVG+v4pliud5qYXUZ+07iT8TMLpYxSh2oFSMlt0Y1jRzZFXHpRKgkWVdj8synzS1BSXlocHehBPKKtB+oaRgd6PLMZgKxhpooayr/6kuUWB6p2pLVaK9Tx67rZKJR8o1ZNTVdUw0PDOzZu2nZlktza3VbOxi3qJm67Obbxda8FK35vRAp4q+cXtY9BFTVUODdtOeBwa0dap6/rZqNQ8pdmNz67bopO724rh0qaAN51SwJ5Q2JndxQFQ7YUrDjZ44pBCXkBgypqTF9r/PimgMOtHWmdvC67k5PXOb27bXZNw7LEegDV3VYQ5HaXcD80LaXgYVBFjSW6Su0R6glCwMHu5OQSqzd+p3e3PZBKIZvNdnQsN7uEux3QUXixUJ0aig3t77j43OvE/hGIZKr0fip4sVEoBUcrxedDyS7ki7WL0b1UMF7JypKlXawEdER2YKaKGorfcRfE9FSgx6GoqgVjrytqRSuZHD9uuXezS3hQxr74aQnTT+dqJwZV1JCIlFocBH0cSqe1YOx1Ra1q5cbvx91tbnYJD8LYFz8tYfrpXO3GoIqa4jiU5pr1uqpsPUEEtH7j99vuNjcbcgZh7IubNWmt8tO52s37nywiP7DS64qoQrMbux9u/I242ZDTjzVom7lZk9YqP52r3fz9W0vkEbJZLyv2uqJNgnDjb8TNLuF+77AONF+i9NISpp/O1W5c/iNSgL2uqFV+LD6vZKUw2a0lSz/WoG3mpyVMP52r3RhUEanAXlfUIj/f+P1QmOy3GrTN/DQk2k/najcGVUQKqJp7SI3Vyo7ctTeC27uk6zfxdvj1xu+HwmS/b/H3UybTT+dqNwZVFrD/kL858fNza+5hmNTLjvz7hWuY0gqeyI6Ehdf7QPkhk9ZMRBP46NB2/NNrOUzOrUIvGkhEIxjp34aPDm331Pn7OeuqGoOqJth/yN+c/Pmx9YS96mVHumIasoveyI6Ehdf7QPkhk9aMYUr889lruK6b+J3UjeWz67qJ/3bumucCQ79mXVULT/VYm5r1H5LTky6dGVnBn19wcNu2d7TbDsIwJSZml3F8ah5/e+oqjk/NY2J2uWokjwpB+Kxw1I4/MVPVjJX+Q8xMeBd/foHh9exImLRTmOzkkly9z4opJa4sFZBbLTpSZ1Wu65o9v4qFxaWWXs/rS6xUGzNVTbD/kL/x5xccQW+W6Sft9IFyMvNS67NgSokz82u4vFQAIBoOsFahlYHZtbD3kz/xb6EmRLP+Quw/5Gn8+QVH0Jtl+kk7jT2dXJKr9Vm5slTAaqEUiCS33ViksWs5rdMgkv+I8Ccu/zXD/kP+xp9fYNTbtr1WMEO3bdstnbQpcHL5ttZnJbdaBAB0xzTs6o1VPd+O5bROl+/Y+8mfGFQ14ef+Q2wF4e+fH1Wrt237rsHtuL2r6KmdUEHUaU2Uk123a31WAGB3bxy7emOodZqql9M6DSLZ+8mfGFQ14df+Q2wFUeLXnx/VVmvbdiq1A9ls1sWzCodO2xQ4nXnZ/Fk5PjXv6CiVToNI9n7yJwZVFvix/1CzVgKYniy9pxDw48+PyGs6Xc5yO/NSDuqiEWzsADTMUif+3ngEDw5vt+X1Ogki2fvJf1jpFlRWWgkQEVnU6W60dorbVRrp78aO7gh+e2UVl5cKMCQAIZA3JK7nTcy8k1e6A7CdHZLkf8xUBZTM66Ulv3rYSoCIWqCiJsrNzEtEE3jXzQn8tmsVS7q5kaXq641hV28MuVW1ndYrl+9m1zQsS3D5LgQYVAWUiCeAQr7+E9hKoGUs/KcwC8JutDcWdNx+S+2/++zYAVgOIh9IpVj3FxJc/guqwWFIvXZQJXUdGBx2+IT8baPwf+ploJCvKvyXJ8chTcPtUySyVRCWs9hQk+zGoCqgxP4RiGSqFEBVYCuB9nCGIIWd2zVRKrChJtmNy38BxVYCinGGIJHvd6MFYQmTvI1BVYCxlYA6nRT+b67FWtqRhJkaYHBL5DC32zpQ8DHXSWRBuzMEa9Zi5XXWYhG5IAhLmORtzFQRWdHmDEE2YSXyFr8vYZK3MVNFZEHbhf9swkpEFBrMVBFZ0G7hP5uwEhGFB4MqCp12m3i2U/jPJqxEROHB5T8KFcebeLIJKxFRaDCoolBxuoknm7ASEYUHl/9oYzlMvvk6cOkisLQI9N4C7HkX9DvfDzlwe3D6KTncxLNuLdahw6HrU8XZiWoZpsTk3ArO5dagF00kohqGkhzWS+QmBlUht7EcNn8VuHQBWF0FohHg6mVgaRF5owjZPQUcGQvEjc+NwvHNtVi9qRTWQjZcdeNzlstCJBJVy66YnQnM58sphinx3OsLmF8pNbEUAsgbJiZmlzGzqLPnEpFLGFSFXHk5DNevAWvrARVQ+u/qCox3FiDX1gLTT8kPheNBzOiwX5dak3MryK1UdwUHgERUILtcxOTcCvswEbmAQVUAdHQTXl8Ok+/kgMim50YjMBeyEIPDwZlt12YTT6cENqPD2YlKncut1ZxfB5QCq3O5NQZV67hMSk5iobrPdbqbTZaXu4w6zysWS/8NSD8lrxeOO11I7xTZ7PMTkM+XU/Si2dHjYVFeJp2YXUbeMKuWScfPLMAwpdunSAHDoMrnOr0Jb8y0q8xSSQDLS8D8VRjZOcgzpyGvzQdiTp3QIhBHxiAOHQZicUBKIBYvFY57IQsU0A7s7c5OpNoS0cZ/dTd7PCysLJMSqcTfPL/r9CZc7qN0S7KUrZIArs2XgirDgNjWDeTzwMpKYAYACy0C7eAotLFHof3hY6X/Hhx1P6BCgDM67Nel1FCyC/li7SyLXpQYSnY5fEbeZGWZlEgl1lT5XKe72cT+EWB2BlKawPV3gFwWKBRKD8ZiEIltQCwG7LmNBcUO8EMhfTs2Pme5q1VZVa8su/rNSH83ZhZ1ZJerszB6USLVE8VIf7eLZ2efVuuj9GJpya8eLpOSasxU+Vynyyoby2F33AW85xAQjZaCqJ5eYGcfIgO3Anv3QQjN18tPvhHQjI7nl119JqIJjO3bgdGBHsQjGqQE4hENowM9gW2n0E59FJdJyWnMVPmdgt1slX2UjEKhKvMV7e5GfqWi7sCvy08+EeSMTjuzE6m+iCYwOtATml1+7bSRGEp24dTscs0lQL0ocaCPy6SkFoMqn1N9E1ax/BTEPktOqduBffggrx+FWjttJLy2TMr2DsHHoMrnlN+EO8x8BbbPUgOqg0hmdLyNN0Z3tFMfVV4m3fzzOtDn/M+LXfDDoaOgKp1OfwLA/wbgAIDfzWQyL6o4KWqNyptwp5mvsHXODmMQGWa8MbonEdWQN+oXlterj/LKMim74IdDp1V6rwJ4BMAvFJwLecDWgmK0VlAc0D5L9QS1WSfVxr5H7vF7Gwm2dwiHjjJVmUzmtwCQTqfVnA15QmXmq9Xhv+22ePBtHRbHr4QKx8O4x2v1Ua1ie4dwcKymKp1OHwNwDAAymQxSqZQtrxONRm07dhi1ej2XdiQb7xCMJ9C76XjSMLAyfhzm/BWIRBcQK30s5flpaIsL6B57BGLzXEKPWIpGgFiDv8wltrxffkbVcvJ6au3eyqgAABt8SURBVPFldDe4MUogED9br35GH0+l8NLMNUzPLUE3TCQiGvb39+Ku27Z7etk1Go1ix829DZcv4xHNk9fcq7z6GW0aVKXT6f8OYHeNh76ayWT+0eoLZTKZZwA8s/5HmW0h+9GKVCoFu44dRq1eTzM10LjQ/dDhLZkv8/QE5MW3St+zUr18Ii++ieVfnoRmQ7ZHRXbMLBqNd0vG4lveLz+jajl5Pc38Gtaa3BiD8LP18md0bzewd++2iq8YWMjNu3Y+VqRSKQx0mQ3bO4wO9Hj2mnuR05/RPXv2WHpe06Aqk8k80PHZUGi0VejuwhKasgJzBX3CyD/Y94ja5fflS7KGLRVIqXZaPHQ6aqcdqnYpBrlZJ23FGyO1q532Dmzf4T+dtlT4OID/AqAPwH9Np9MTmUzmISVnRr7VaouHdhqOdrx0pyg7xmad4eKlvkfkP620d2D7Dn/qdPffswCeVXQuFFYtLqGpWLpTmR1js85w8UrfIwo29rXyJy7/ketaXUJTsXSnYhwPUVgFfVnKC+9vc/sOUwJXlgrIrRZhmBJvXiv9wy8o1zwoOKKbXLe14ahs3HBURYPRwWFIvXZQJXUdGBxu9W0QhUJ5WWpidhl5w6xalho/swDDrN2g0y+88v4q+1aZEjgzv4rLS3kYUgICyBtGYK55kDBTRZ7QyhKaiqU7FpgTtSfoy1JeeX+VY3muLBWwWjCrMlIRIQJzzYOEmSryHdFsac7C0l3L2TEiAhD8cSteeX+VY3lyq8WqgMowJZLboo6fEzXHTBX5j6LeUCwwJ2qd2+NW7K532vz+NtcyRTThSH1VZfsOwywt+QGl978tpmFXb6zqnMkbmKki3xH7RyCSqVLtUwUu3RHZLxFtfNto9ngnnKh3qjz/WrVMgHSklqncvmN0oAfxqAZAIiKA3b0x7NvZBa0i8rPzmlNrmKki32FvKCLnbM4Mza8WsZo3cOst8aobO2B/V3kn6p0qu+ZvrmUyTIm+3phjtUzl9h0A2MnfJxhUkS9x6Y7IfrUaUCa3RfHbpQKuX1nF/l3bNgIrJ7rKW6l36jTIqVx2q6xl2rzspur1Wj0ndvL3NuYMiYioplqZIU0AB/q2obcrgtyqASlLg6RHB3ps7/LdrHZIRW1R5bIbINFo2c2pWqaqpcCI5ug1p9YwU0VERDXVywxpArj9lgTiEQ1/dGinY+dT2Wag3uMqlJfdzuXWHHm9Vs6JrRO8jUEVERHV5PZOv80q6522nov62iIrr+eF7uvkHQyqFOp4yC9RCPD3xD+cygxZ5XRtUbPXO9i3jUOPqQprqhTZGPI79TJQyFcN+ZUnxyFNw+1TJHIdf0/8pbIB5WZ6UWIo6eyuM6dri5q93umrq013I1K4MFOliIohv0RBx98Tf/HirjMna4uaLe05sRuR/IWZKlVUDPklCjr+nvhKmHedWWk06sRuRPIXZqoUUTHkl7yBNT/24e+J/4R115mVRqNeqzkj9zGoUkTEE0AhX/8JFob8kvs2an5yWYhEoqrmB7MzAIctd4S/J+QXVpb2rO5GNMzSaBvuEAw+htGqDA5D6rVvFlLXgcFhh0+I2tGs5kdOT7p0ZgHB3xPyCStLeyP93djZE4W+qZi/subMMCX+/tSsrfMKyTsYVCnCIb8BwZofW/H3hPzCyuBoKzVnk3MruLqkc4dgSHD5TxEO+XWPyhoo1vzYi78n5BdWl/aa1Zydy60hkejCSmHrY9whGDwMqhTikF/nqa6BYs2PNZ0Esvw9IT9Q1U5CL5qINvhrgzsEg4XLf+RrymugWPPTFBt4UhioaidhZRmRgoOZKvI3KzVQLWRExP4RYHYGMne1KlALWs1PJ5mmMDbwZJuNcFLRTmIo2YXXr9XORtkxr5DcxRCZfE02q3FqsQZKaBGII2MQhw4DsTggJRCLQxw6XPp6AG6gHWeaQlbMz8wcdWKkvxt9NyUa7hCk4GCminzNjhqooNf8dJppClsxfxgzc6RORBN45L0DODlVqOpTdaCPfaqCiEEV+dvgMOTURM3MidR1iOGDLpyUx3W4ZBq6Yn7FS8x+02z+nVd56bzD2pU+jLj8R77Gvket63jJtE4xv5QS8tJFyLlLMP7xRzDHfwrz9ITvl8dULzH7iZX5d17k1/Mm/2OmKqDCUljLvket6zTTVKuYX0oJnD0NSAEM3Bqo8T6hy8xVsDL/zovZF7+eN/kfM1UBFLbCWqFFoB0chTb2KLQ/fKz034Ojvr2J267DthE1i/mvzQPdNwP79kOIG3+tBGK8T4jbbFiZf+dFfj1v8j9mqgKIhbXUiIq2EZuL+c3xn9bN5rRTd+SlTGtY2mzUohdLS2eNHvciv543+R+DqiAKeWFtu7x0I7eTHUumKncEqu6S3ymV18tLxdNWJKIa8kb9AMSrjSv9et7kfwyqAihsW95V8NqN3G6q20aorDvyYqZVxfUqF0/Pr9f6VBZPzyzqLXXpdorV+Xde49fzJv9juB5AotkNLMCFte1SPu4mbFTWHQW0uaiV4mmvGenvxs6eqO8aV/r1vFthmBITs8s4PjWPvz11Fcen5jExu8ydjS5jUBVEIS6sbVtAb+ROUdnaIqgtDFotnvbCTVPV/Dun+fW8rWLLCO/i8l8Ahbmw1opatVPy7beAvv76y6Y+vZE7RWXdUVBbGLRSPO2lpUK/Nq7063lbwZYR3sWgKoCC0LvJrqLxerVTyF0FlhYh9+6rHVj59EbuJGV1WgHtkt9K8TRvmtSIlawnPx/uYFAVUH6eX2dn0Xi92ins7AMuzwDZOaBvd/X3+PhG7kdBzbS2UjzNmyY1wpYR3sWgijzH1t1f9WqnUruA6+8A81ergiq/38j9KAiZ1lpG+rsxs6gju1ydgapVPM2bpjp+a2NhBVtGeBeDKvIeG/ts1Ws3IYQGuXcfcHWu1CU8IDdyv/JzprWecvH05hv8gb6tN3jeNNXwUm2aSmwZ4V0MqshzOumz1awWq1ERtBAacOsgtLFHO30LFHDtZj+sFk/zpqlGUGvTWsl6krP4zx3ynHb7bFmaech2E9QhJ7azh6HPkhOCOgMw6C0j/IyZKvKeNnd/WarFCmgRNDnHiexHK0uFVF+Qa9OC3DLCzxhUkee0HfhYqMUSB0cDWQRNznFqZx5vmp1jbRo5jUEVeU67u7+s1mIFsQianBPk7EfQsDaNnMagijypncAnqJ24yVuY/ajm5ZYFLOgmp4Xrt5+CjUXo5IChZBfyxdrF6HpRYigZnuyH12fQsaCbnMZMFQUGi9DJCcx+3OCHlgWsTSMnMVNFgSG0CMSRMYhDh0sNPKUEYnGIQ4dLX2cROinA7McNQW1ZQNQuZqpIKbsGIVvFInRyArMfJSzaJ6rGTBUpY6n5JhEFRrOi/LAV7RPxE0/KNGu+KacnXTozIrIDi/aJqjGoInWsDEImosDgOB2iaqypImU6GYTsJ27XjRF5BcfpEFVjUEXKhKH55kbdWC4LkUhU1Y1hdgbgLkMKGRbtE93A5T9SJwTNN1k3RkRE9TCoImXE/hGIZKoUQFUIVPNN1o0REVEdXP4jZdodhOwnYakbIyKi1jGoIqWC3nwzDHVjRETUHgZVRK0YHIacmqi5BCh1HWL4oAsnRX5gmHLLLrmhJHfJEQUJgyqiFrQ7tLmyDcNSNAKzaLANQ4gYpsRzry9gfn34sBBA3jAxMbuMmUU9dDMDiYKKQRVRC9qpG9vchgGxbrZhCJnJuRXk1gOqSomoQHa5iMm5FbYkcBGziKQKgyqiFrVaN9asDQOmJ0vHo8A6l1tDPFr75pyICpzLrTGocgmziKQSgyqqS5oG9FMvwHzlN+wc3gkrbRgYVAWaXjTRaNOoXjQdOQ9mZLZiFpFUYlDlY3aOSykvWeXXlgHDZOfwDrANAyWiGvJG/cApEbW/ZSAzMrUxi0gqsfmnT23U6Uy9DBTyVUGPPDkOaRqdHX9jyap6yjw7h7dONGuzwDYMgTeU7EJ+09DhMr0oMZTsqvmYSlYyMmHULEvoVBaRgqGjTFU6nf4/AfxHAHkA5wD8p0wmc03FiVFjttfpcMlKHbZhCL2R/m7MLOrILlcHNXpRItUTxUh/t+3nwIxMbV7IIlJwdPppOQHgjkwm814ArwP4Xzo/JbLE5nEpstmSFJesLAvF+B5qKKIJjO3bgdGBHsQjGqQE4hENowM9ji27MSNTmxeyiBQcHWWqMpnMf6v4468BPNrZ6ZBVdtfpNOscLmNxmKcnbKnnapedNWad2NKGQQKIxQM1vscN5aLr2fOrWFhc8nzRdUQTGB3ocS0bxIxMbV7IIlJwqCxU/88A/q7eg+l0+hiAYwCQyWSQSqUUvvQN0WjUtmN7ydKOZOPAKZ5AbwfXQX/v+5A/9e/QNA3d3dV/qcjVVZiry9DOT5dqrmKlj5E8Pw1tcQHdY49ARJwNFKRhYGX8OMz5K545py129QN4ANFoFL3Forvn4nOGKfH3p2ZxZclEd0JDT0/pM/raNRMLRgGPvHfAk4GVm+7aG8ELF64hEdsaPK0VTNw1uB2p1A4A4fl7tOzxVAovzVzD9NwSdMNEIqJhf38v7rptu5LPUdiupxO8ek2FlLXTnmXpdPq/A9hd46GvZjKZf1x/zlcBvB/AI5lMpvEBS+SlS5daPVdLUqkUstmsLcf2EvP0ROM6nUOHoXVQ81QqhB/HtrUlrFb861bqeimYiyUgurYWWKt47XbYfT1UCstn1E4Ts8s4NbuMeFSgu7sbKys3iqz1onQ1I+RVhikxfmahbkamchmSn1G1eD3Vc/qa7tmzBwCaRthNM1WZTOaBRo+n0+nPAPgPAI5aDKhIgXbHpVg+/vqSVXz2Lay+8puqzuHyzdch6mRaXCti92Bhfb3lSHnPEUfPI4hYdN26cl3X5j5VB/q8u2RK5Ded7v77AwBfAXBfJpMJ535cl7QzLqWd10jc+QFot+6t+rpxZgoNOxm6UMTutV5Qm0fTVLa8WFlcgPzd32ctVQe80kzTb9yu6yIKuk5rqv5vAAkAJ9LpNAD8OpPJ/FnHZ0WWtDouRdnrNilid6PvktfOqVHLC3N+DpKjaTrComsi8qJOd/8NqzoR8hEv9l3y2jk1XI7sYp+vDg0luzZqqjbTixIH+rgNPiw4eoe8hGNqqGV213MF4Zy8thwZNJXb4Cv3pnIbfLhw9E64VAbQWnwZZn7NcwE0c+TUMqFFII6MQRw6DMTigJSlvkuHDpe+7kKtkNfOiaNp7OWFZprkPo7eCY9yAD0xu4y8YUKrCKDHzyzAML2xT46ZKmqLW/VcjXjqnBouR64Be/e7cFLBUi66foDb1UOLu0DDw0oA7YWfNTNVRDZoNJpG29nP0TRECnD0TnhYCaC9gEEVkQ0aLUd2jz3CdgpECjTb5cldoMHhlwCay39ENqm3HOn6uByigOAu0PDwSxsVb5wFERFRi0b6u7GzJwq9WF2kzF2gwTOU7EK+WLsYXS9KDCW9EUAzqCIiIl/iLtDw8EsAzeU/IiLyLY7eCYfNsyslSgG012ZXMqgiIiIiz6sMoFMebaXC5T8iIiIiBZipIiKiLThTj6h1DKqIiKgKZ+oRtYfLf0REVOWlmWucqUfUBgZVRERUZXpuyRcjQYi8hkEVERFVWfPJSBAir2FQRUREVbo4U4+oLfzNICKiKvv7e30xEoTIaxhUERFRlbtu2+6LkSBEXsOWCkREVGXzSJBynyqvjQQh8hoGVUREAaC6WSdn6hG1jkEVEZHPsVknkTewpoqIyOcm51bYrJPIAxhUERH53LncGpt1EnkAgyoiIp9r1oyTzTqJnMGgiojI55o142SzTiJn8DeNiMjnhpJdbNZJ5AEMqojo/2/vbkPsTO8ygF9nckxiRosbZ5smu4utIdSWTY0vLMWCb33B1XX7QfmjUrUWWQStr0t1u6gfpFJYsS4oSFkRpAty2xYWtL50/azFtu4adHUxWrfZZNOmaRtJzMTJjB/OLM3GbLI7c2ee80x+PziQM2fyzMWfSeaa+3me+zByh/ftsVknzAFbKgCMnM06YT4oVQDbgM06YXhO/wEAdKBUAQB0oFQBAHSgVAEAdKBUAQB0oFQBAHSgVAEAdKBUAQB0oFQBAHSgVAEAdKBUAQB0oFQBAHSgVAEAdKBUAQB0oFQBAHSgVAEAdKBUAQB0oFQBAHSgVAEAdKBUAQB0oFQBAHSgVAEAdKBUAQB0oFQBAHSgVAEAdKBUAQB0oFQBAHQwHToAADenS6trOXrqfI6duZDlldXsmi7k4N7dObxvT3YsTIaOBy+bUgXAlru0upaPPf3FfOH8SnZNJ5lMkouXVvPEyXM5fnY5dx+6RbFidJz+A2DLHT11PmfWC9Xldk0nOX1uJUdPnR8oGWycUgXAljt25kJ2Tq++ErVrOsmxMxe2OBFsnlIFwJZbXlnd1Oswj5QqALbcrum1f/xc73WYR75rAdhyB/fuzsWVtau+tryyloN7d29xIti8Td39V1W/leTtSVaTfC7JO1trJ3oEA2D7OrxvT46fXc7pcy+8WH15ZS1Li9Mc3rdnwHSwMZtdqXqotfaG1tqRJH+e5Dc6ZAJgm9uxMMndh27Jkf2L2bljIWtryc4dCzmyf9F2CozWplaqWmtnL3u6mOTqa7kAcIUdC5Mc2b+YI/sXh44CXWx688+qel+Sn0jy5STfs+lEAAAjNFlbu/biUlU9nuRVV3npwdbaY5d93gNJdrfWfvNFjnNfkvuSpLX2bRcvXtxw6GuZTqdZWVm5Ice+GZlnf2bal3n2Z6Z9mWd/Wz3TnTt3Jsl1z0lft1S9VFX1DUn+orV250v49LUTJ27M9exLS0s5ffr0DTn2zcg8+zPTvsyzPzPtyzz72+qZHjhwIHkJpWpTF6pX1aHLnt6b5F83czwAgLHa7DVV76+q12a2pcJ/JfmZzUcCABifzd7990O9ggAAjJkd1QEAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOpgOHQCAa7u0upajp87n2JkLWV5Zza7pQg7u3Z3D+/Zkx8Jk6HjAOqUKYI5dWl3Lx57+Yr5wfiW7ppNMJsnFS6t54uS5HD+7nLsP3aJYwZxw+g9gjh09dT5n1gvV5XZNJzl9biVHT50fKBlwJaUKYI4dO3MhO6dXX4naNZ3k2JkLW5wIeDFKFcAcW15Z3dTrwNZRqgDm2K7ptf+bvt7rwNbxrxFgjh3cuzsXV9au+tryyloO7t29xYmAF6NUAcyxw/v25OsXp1m+olgtr6xlaXGaw/v2DJQMuJItFQDm2I6FSe4+dMv/26fqdbfapwrmjVIFMOd2LExyZP9ijuxfHDoKcA1O/wEAdKBUAQB0oFQBAHSgVAEAdKBUAQB0oFQBAHSgVAEAdKBUAQB0oFQBAHSgVAEAdKBUAQB0oFQBAHTQ5Q2Vq+r+JA8lubW1drrHMQEAxmTTK1VVdUeStyZ5ZvNxAADGqcfpvw8keU+StQ7HAgAYpU2Vqqq6N8mzrbUnO+UBABil615TVVWPJ3nVVV56MMl7k7ztpXyhqrovyX1J0lrL0tLSy4j50k2n0xt27JuRefZnpn2ZZ39m2pd59jevM52srW3srF1VHU7yt0nOr3/o9iQnktzVWnvuOn997cSJExv6uteztLSU06ddK9+LefZnpn2ZZ39m2pd59rfVMz1w4ECSTK73eRu++6+1djTJK59/XlWfSfLt7v4DAG5G9qkCAOigyz5VSdJae3WvYwEAjI2VKgCADjZ8ofom2dMKABiT616oPtRK1eRGParqUzfy+DfbwzzNdN4f5mmm8/4wz20z0+ty+g8AoAOlCgCgg+1Yqj44dIBtxjz7M9O+zLM/M+3LPPuby5kOdaE6AMC2sh1XqgAAtly3zT/nUVXdn+ShJLd6+5yNq6qHkvxgkotJjiX5qdbal4ZNNT5V9X1JHk6yI8kjrbX3Dxxp1KrqjiR/ktkbvq8m+WBr7eFhU41fVe1I8skkz7bW7hk6z9hV1dcleSTJnZltJ/Su1trfDZtqvKrql5L8dGazPJrZz6MLw6b6im27UrX+H+5bkzwzdJZt4ONJ7mytvSHJ00keGDjP6Kz/oPqDJHcneX2SH62q1w+bavRWkvxKa+11Sd6Y5GfNtItfSPLU0CG2kYeT/FVr7ZuSfHPMdsOq6rYkP5/Z+wzfmdkvqD8ybKoX2s4rVR9I8p4kjw0dZOxaa39z2dO/T/LDQ2UZsbuS/Htr7T+SpKr+NMnbk/zLoKlGrLV2MsnJ9T//d1U9leS2mOmGVdXtSX4gyfuS/PLAcUavql6R5DuTvDNJWmsXM1vxZ+OmSb66qv43yZ4kJwbO8wLbcqWqqu7NbOn6yaGzbEPvSvKXQ4cYoduSfPay58fXP0YHVfXqJN+S5BMDRxm738vsl9HVoYNsE9+Y5PNJ/riq/rGqHqmqxaFDjVVr7dkkv5PZGaiTSb58xS/9gxvtSlVVPZ7ZtRRXejDJe5O8bWsTjdu15tlae2z9cx7M7JTLo1uZbZu42m68br3toKq+JslHkvxia+3s0HnGqqruSfK51tqnquq7h86zTUyTfGuSd7fWPlFVDyf5tSS/PmyscaqqWzJb4X9Nki8l+bOqekdr7UPDJvuK0Zaq1tpbrvbxqjqc2cCfrKokuT3Jp6vqrtbac1sYcVRebJ7Pq6qfTHJPkje31pSBl+94kjsue3575mzZeoyq6qsyK1SPttY+OnSekXtTknur6vuT7E7yiqr6UGvtHQPnGrPjSY631p5fQf1wZqWKjXlLkv9srX0+Sarqo0m+I4lSdaO01o4meeXzz6vqM5ld1Obuvw1av2vtV5N8V2vt/NB5RuofkhyqqtckeTaziyt/bNhI41ZVkyR/lOSp1trvDp1n7FprD2T9JpT1lar7FarNaa09V1WfrarXttb+Lcmb45q/zXgmyRurak+S/8lsnp8cNtILbctrquju95N8bZKPV9UTVfWHQwcam9baSpKfS/LXmd3901pr/zxsqtF7U5IfT/K969+XT6yvssA8eXeSR6vqn5IcSfLbA+cZrfUVvw8n+XRm2yksZM52VrejOgBAB1aqAAA6UKoAADpQqgAAOlCqAAA6UKoAADpQqgAAOlCqAAA6UKoAADr4P+Ph8WYnB4YsAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_two_classes(x_vis[filter_], y[filter_])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convert into a function" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def UnderSampling(X, y, target_percentage=0.5, seed=None):\n", " # Assuming minority class is the positive\n", " n_samples = y.shape[0]\n", " n_samples_0 = (y == 0).sum()\n", " n_samples_1 = (y == 1).sum()\n", "\n", " n_samples_0_new = n_samples_1 / target_percentage - n_samples_1\n", " n_samples_0_new_per = n_samples_0_new / n_samples_0\n", "\n", " filter_ = y == 0\n", "\n", " np.random.seed(seed)\n", " rand_1 = np.random.binomial(n=1, p=n_samples_0_new_per, size=n_samples)\n", " \n", " filter_ = filter_ & rand_1\n", " filter_ = filter_ | (y == 1)\n", " filter_ = filter_.astype(bool)\n", " \n", " return X[filter_], y[filter_]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.1\n", "y.shape = 1000 y.mean() = 0.1\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": [ "Target percentage 0.2\n", "y.shape = 501 y.mean() = 0.1996007984031936\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": [ "Target percentage 0.3\n", "y.shape = 337 y.mean() = 0.29673590504451036\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": [ "Target percentage 0.4\n", "y.shape = 250 y.mean() = 0.4\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": [ "Target percentage 0.5\n", "y.shape = 201 y.mean() = 0.4975124378109453\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for target_percentage in [0.1, 0.2, 0.3, 0.4, 0.5]:\n", " X_u, y_u = UnderSampling(x_vis, y, target_percentage, 1)\n", " print('Target percentage', target_percentage)\n", " print('y.shape = ',y_u.shape[0], 'y.mean() = ', y_u.mean())\n", " plot_two_classes(X_u, y_u, size=(5, 5))\n", " plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing Under-Sampling with other models\n", "\n", "**Advantages of Under-Sampling:**\n", "\n", "- Fast to estimate\n", "- Easy to understand\n", "\n", "**Disadvantages of Under-Sampling:**\n", "\n", "- Information of the negative class is lost\n", "- Variance due to randomnes \n", "- Need to define the target percentage" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## TomekLinks\n", "\n", "Identify and remove majority samples that form a Tomek link with minority samples.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Find the nearest neighbour of every point" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "from sklearn.neighbors import NearestNeighbors\n", "\n", "nn = NearestNeighbors(n_neighbors=2)\n", "nn.fit(x_vis)\n", "nns = nn.kneighbors(x_vis, return_distance=False)[:, 1]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([649, 558, 159, 29, 380, 104, 749, 613, 380, 353], dtype=int64)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nns[0:10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Find if tomek. Use the target vector and the first neighbour of every sample\n", "point and looks for Tomek pairs. Returning a boolean vector with True\n", "for majority Tomek links." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# Initialize the boolean result as false, and also a counter\n", "links = np.zeros(len(y), dtype=bool)\n", "\n", "# Loop through each sample of the majority class then we\n", "# look at its first neighbour. If its closest neighbour also has the\n", "# current sample as its closest neighbour, the two form a Tomek link.\n", "for ind, ele in enumerate(y):\n", "\n", " if ele == 1 | links[ind] == True: # Keep all from the minority class\n", " continue\n", "\n", " if y[nns[ind]] == 1:\n", "\n", " # If they form a tomek link, put a True marker on this\n", " # sample, and increase counter by one.\n", " if nns[nns[ind]] == ind:\n", " links[ind] = True\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "8" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "links.sum()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "filter_ = np.logical_not(links)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y.shape = 992 y.mean() = 0.10080645161290322\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print('y.shape = ',y[filter_].shape[0], 'y.mean() = ', y[filter_].mean())\n", "plot_two_classes(x_vis[filter_], y[filter_])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing TomekLinks with other models\n", "\n", "**Advantages of TomekLinks:**\n", "\n", "- Creates a linearly-separable space\n", "\n", "**Disadvantages of TomekLinks:**\n", "\n", "- Still a highly imbalance dataset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Condensed Nearest Neighbour" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The goal is to eliminate examples from\n", "the majority class that are much further\n", "away from the border" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# Import the K-NN classifier\n", "from sklearn.neighbors import KNeighborsClassifier" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# Number of samples to extract in order to build the set S.\n", "n_seeds_S = 51\n", "\n", "# Size of the neighbourhood to consider to compute the\n", "# average distance to the minority point samples.\n", "size_ngh = 100\n", "\n", "# Randomly get one sample from the majority class\n", "np.random.seed(42)\n", "maj_sample = np.random.choice(x_vis[y == 0].shape[0], n_seeds_S)\n", "maj_sample = x_vis[y == 0][maj_sample]" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Create the set C\n", "# Select all positive and the randomly selected negatives\n", "C_x = np.append(x_vis[y == 1], maj_sample, axis=0)\n", "C_y = np.append(y[y == 1], [0] * n_seeds_S)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# Create the set S\n", "S_x = x_vis[y == 0]\n", "S_y = y[y == 0]" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "knn = KNeighborsClassifier(n_neighbors=size_ngh)\n", "\n", "# Fit C into the knn\n", "knn.fit(C_x, C_y)\n", "\n", "# Classify on S\n", "pred_S_y = knn.predict(S_x)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "# Find the misclassified S_y\n", "idx_tmp = np.nonzero(y == 0)[0][np.nonzero(pred_S_y != S_y)]" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "filter_ = np.nonzero(y == 1)[0]\n", "filter_ = np.concatenate((filter_, idx_tmp), axis=0)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y.shape = 324 y.mean() = 0.30864197530864196\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print('y.shape = ',y[filter_].shape[0], 'y.mean() = ', y[filter_].mean())\n", "plot_two_classes(x_vis[filter_], y[filter_])" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "# Import the K-NN classifier\n", "from sklearn.neighbors import KNeighborsClassifier\n", "def CondensedNearestNeighbor(X, y, n_seeds_S=1, size_ngh=1, seed=None):\n", " # Randomly get one sample from the majority class\n", " np.random.seed(seed)\n", " maj_sample = np.random.choice(X[y == 0].shape[0], n_seeds_S)\n", " maj_sample = X[y == 0][maj_sample]\n", " # Create the set C\n", " # Select all positive and the randomly selected negatives\n", " C_x = np.append(X[y == 1], maj_sample, axis=0)\n", " C_y = np.append(y[y == 1], [0] * n_seeds_S)\n", " # Create the set S\n", " S_x = X[y == 0]\n", " S_y = y[y == 0]\n", " knn = KNeighborsClassifier(n_neighbors=size_ngh)\n", "\n", " # Fit C into the knn\n", " knn.fit(C_x, C_y)\n", "\n", " # Classify on S\n", " pred_S_y = knn.predict(S_x)\n", " # Find the misclassified S_y\n", " idx_tmp = np.nonzero(y == 0)[0][np.nonzero(pred_S_y != S_y)]\n", "\n", " filter_ = np.nonzero(y == 1)[0]\n", " filter_ = np.concatenate((filter_, idx_tmp), axis=0)\n", "\n", " return X[filter_], y[filter_]" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n_seeds_S 1 size_ngh 1\n", "y.shape = 416 y.mean() = 0.2403846153846154\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": [ "n_seeds_S 100 size_ngh 100\n", "y.shape = 128 y.mean() = 0.78125\n" ] }, { "data": { "image/png": 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fM1i3bF6k2khnZwFE8dVMNR1Q8pXH+ekVUq86pWt3xlLcFV0ilKVo6Zqmh6BEuVz8gcOszs0Vlcnrm7neFKBGd1Vxm2ojnZ2FHJ4oPsMwvgy8C0gYhnEV+C3TNP/Ui30HiXJ5doVKLKc87p47h8qcQ+vZuHwtVbpWKjKrhYqnowTpZm50FNZtQnM9ilMsxPbEE8VnmuY/82I/QaeuDigNbh7gZcKx25u80SWCblNtalWcQXqoCN4iGaC1UI0SK6DRKSpeJRzX1a26gNwS/9COHqIhHaWczi2HdvR4oiTcJjTXmkxdzUNFaE3Ex1cD9XRA8bJ5QDG8KuvyynJsZImg26V0rT5IqRVuX0Tx1UApJeZEba/D4g2sb3xx4xxej5oHlMKrgIJXN3kjfWJul9K1Kk6pFW5fZKlbC7tHUKm0029vagJ17gzq7E/gB/8DXn0FerdsavnOHQc2tKrPUWvzgFJ41abdiwE/XiyXy+F2KV1rJYjUCrcvYvHVgLZ/FHXtEpz6AaQzEA7ByrIzmS0chsUF1OAwmqavBzy0V85U1dG5XrwKKHhhOTajf56bpXStOYpSK9y+iOKrAU0PwfCtcO4saItgWY4i690C8R5IJmF6EgaHne3XAh7agUOumweUwqueg17c5K3gE6tFccrsj/ZFFF+NaFdehTfcuv67OjsGuXsiHIIbs+uKD6i54Wi1VmD++0mnuDsa4+7dI2ij9VmRXtzk7eYTa0YjW8EfRPGtkVMkS9PjWHOzJRXRpshuKAT5oxutgjGONTYcrWYQkdv3F8OLm7wd5+E2o5Gt0HxE8bFRkdDfX1aRbIrs9g048zTCa4omr8KiVNTW7SjIRo2SdHuTi09MaBVa7xHcACopkg2dj9ciu+skhqA7DlnL+bllwNlnuahtHYnQnr6/QdTbP8+ynclpx07P8KVTUxw7PcPJ8WXXUWBBKIVYfFBTWVlhBxVN01B79jmWYSYN2wadlu9lorZuR0E2c5RkLdSzXM4vC4uEYHIpw+xqlu9fXWRrLMR77ujn7uEe8acJniKKj/KKRCkFr1/GPv6V9SCEuvWNMLwTLr8KucDEOx+rOjDhtpqj0dUgbqh1uZxLgYmE4NxMktWMTUjXCOsaiymLb12Y5/XFtNTFCp4iio8KFRkXzzkW1Pbhdd8fL59ylrGPvbe+PDy31RwNrgZpJrkUmInF9LrSyxHSNZZStszQFTxHfHyw2W+XY/o6LC86y9c8ivr+akDbP+qqmsPt+4NELsVldjVbcilca7OFFy7Pib9QKItYfGz02xHPc8DPTDnDghLbsRS8ZPVywYqTUjoxzWbvuXHu3n9PzUuwcg1Hq1kul3q/vfcAL/Xv5dWX51umd1wuBcayFYVJgErBatbmzOQqlu0oyHKfJ+cvXFER7IKSOWkjJeQjio8CRTI9DsvLjp9sIAGDQ9joHM8kmLGjxDTl3FCEOJkK8/q5ubpuKLejIAvfb9mKv3lljpmJ1ZbqHZdLgQnpGlaeUaYUTC9niIY1LKUT0rWKnyfnL+zbGtsw98PLkjmhPRDFt0ZOkfQmHlkf6GMf/wpk0ryU7WV2TenlEwvpTbuhcikfpbqeNKNOthHkKkYmlkIblrsLKWcY+9ZYCMtWDPZGgPKfpxVK5oRg0NKKr+FtwdeCCBeIEy1QeiqbRds+2JQbyrIVXz01zqWp5ZLWXLNv+ty5H7+4ytzCUt3nPpcCs3NLlGdfmWMhZREL6URCOltjGraC7ogzkLzS52m3kjmhcbSs4mtGW/Cc7y85qdDXzpSt4HomxHxkK1mrl/DkCv1dYSxbNWwpOXZ9haklu6w118ybPv/c92/tcX3uQ7rGfTt7uWe4Z/1B9qPXFwnpGgPdYbb3RtALPlyxz9OOJXNCY2jZK6EZbcE1PYR2+AhdQ8Ogh7BtxXnVy/WebVh929A0xy81vZr1pN9cKS7MJosO+Iab1k8ze8c16tzncgDfd3Abb37DFg5sjzO8JbpJ6TnH2vx5vOpNKLQ/Lav4vJo1UQlNDzFy5xvJ7NnP1K43sdo3SLindz0CadmKwXikoTMYqmkS2sybvhnnvp7PkyuZS2bsTdtLGykhn5ZVfF50DK6W3A01tbwx18yyFfE1/5OXyraQaqy5eutk66EZ576ez5PzF751d19Dhh0J7UPL+via6c/J3VCvTCeZW82u+/MGeyNr/idnu0Y5z/cOdPHKfPF957qeNLN3XDPOfb2fJ6RrvOW2fvbEraKvCwK0sOJrdgukkK6xuy/Gji2Rkts0ynk+OhRnzspwaXK1bJPQZvWOa9a5L/V5KqX2CEIlWnap28ylXY6c38lWMLGY4czkKmMTK5yZXOXyjRRv7G9Mc4CQrvH43TsaNq+2Vvw49zkaPdBI6Axa1uLzoy346FCcy/MpfnB1iYy9VlC/duMtJRVXFlINa6EUpE7A+ed+PKmzrGhaS/ZqIspD2xt2eKFNaFnFB81XBiFdY9ctUc5O6SymFZZShLSbvr7ZFavuComGJ2N7TO7cP5JIML1W6dIMqokoP9I0aTqTVrtWi9HSis8PLs6luLWv+JI2FqauColqkrGr2UerX4zVINUZ/tKMwoFm4IniMwzj3cDTQAj4rGma/8GL/QaRRtx4bpdv7XIxVoNUZ/hLq9aEF+Ja8RmGEQL+EHgUuAq8YBjG/2ea5hm3+w4ijbjx3C7fqr0Y3Y60dINXFqkMNPKXdmkE4YXF91bgvGmarwIYhvGXwC8Bban4GnHjubUiq7kY7xnq2jSS0kqneeknF7hwbonU7n10RcINWR57aZHKkG9/aRdXgxeK7w3AlbzfrwI/W7iRYRhHgaMApmmSSCQIh8MkEgkPRPCOSjIdHtjGnDXO5GKKrrz62WTGZvdAjMMHd9SsNPq3rpa1IqMhvaxcenSZeJlDKmDr+GXSqRW0fsdfaCn4byt9TMfCRDNZupYWCA/v5KfzNnNWhsfvru5zVPMdvnB5jlUVoX/rRt9oHFjO2FxOhnnLbZX9mDmeTCR48eo8Z68vkbJsYiGd/UO93Lerz5nXUcd1ZdlqfZ/JrE1XeOM+vaAVr/dCqrlWvfiMjT5XXii+YlfFpmQq0zSfAZ7JvT49PU2iyRHBaqhGpnfujDB2PbNh2famgS5GhyLMzc7UfMwdXXZZK/LQjh6y2WxJuex0kmSFi/HGuR+tjcB06olPZXuZyEJUy5AFstfHSW/tA+DS5ConTmeqWrJUOl+WrfjmTyaYXMqsV7zc7LjibPPixcmaKy32xGHPnu78I62f+1qvq0KLFCAJfGdukdNXpjzzkbbq9Z5PNdeqF5+x3nO1c+fOqrbzQvFdBW7N+30XcM2D/QYWr9No3C7fqll+q/MbJ8ldsAp6DFrZ9f965avJKZQrN1KE13IeLaWYWEqzkMoysq0bXfN/edQuDvtm0C6uBi8U3wvAPsMw9gCvA08A7/dgvy2BFwEDt8nY1VyMhZPkUkrf6KsJbbwUvFBG6woltLGtfEjXWMnYTC5lGN4S8T0SW4/DvtZgTW4I0osXZ1o63ciPwoFG4FrxmaaZNQzj3wB/i5PO8jnTNE+7lqwFULa1KWBAJo06/WNnwPjhIzUpv3qtyGouRrtgJGVMs0njyJbrJp2PF8oop1AGusNMLGU2jY6cXc3S3x32PRJbq8O+1mBNuw1BClIVUb14ksdnmuazwLNe7KuVUGfHULMzaLGNTvvc+EnOjjkDgfIotBQiuoamKV5fSHNxLsVqxqY7qrO3v4u3795adQlcpYsxf5KcFouxN7TCqexWIlYGrbsHEjcTBeuJThezgC7Npxhaq2q5kbI2zc1NWXZDl0fVWmW1pijVujSuZgjS6FC8IxLQg4JUbrjh0vmiQ73BUX5cOr9hilqhpaCAlyZXuHIjSSrr3Ai6prGQtPjJ9RUmlrJcuZHmPW+qPuJZisKRlHfZi1wJ9zLTP0xs+9C6/69aX03+zI2ZG4tcnE8RXSvp0zVnItr0cobFNV/evm1dTC5lmF3Nrpf67bgl1jBrpxarrNYUpVqXxpW2PzezypUbqY5IQA8KovhcoNIbAwabSG8c+F1oKUwuZZhZyZC2FFmlCNk60ZCj/CxbMZ/M8PL0Crf1xTwpvM8fSakD7yliEVXjqymcuTG1nGUp5URlV7M2+7Z1oWsagz1hri5k1n15w1uiDG9xHhS5CGAj55RUa5XV6rCvdWlcafsr8ym2xSMSXGkiovhcUBgw2ER04xK48Mk/u5olZTltrnQ0MrYiuuYSdKwmxVLKdlV4X2m5V4+vplCp5I+FXF0PWkTXl7hTK47iy9GMCGAtVlmtDvtal8aVtl9I2+zY2vrVEK2EKD43FAQM8lGpFNrIgQ1/K3zyW7ZCKUfxaThDtDfsQznb1BthbVQNb6FSsXIfgJtBi9yQoH3buri+mCEa0psaAazVKqvlIVDr0ji3fTE1n8oqtsbKB8D8TvdpR0TxuaAwYJBDpVJoA4PO63kUPvlDuoamaeiao+QKb1RNc7apN8LaqPy0QqUS0jWsPK2d/39d09jd38X7Dm4ruq9GdZUpZmXZSq37GQGOnZ6p61i1Lo1z2y+XGILUE9HJFj71Cj6L4C2i+ApQloV95mRVeXmFAQPSKYjG0EYOFN2+0FIY6A4zt5phVYOMUsT0mxe4rRTdYZ3emF50olg1CqNRBeWFSsVJV0mvHzekbVQGpSLEjewqU3iubaU4N5NkdU35DPdG6z5WrUvj3PaXk2FevDi5afux6yvSeKHJiOLLQ9kWK8ePoa5cqjovLz9gUIlCS8HxgWVZzVgopTnVDTg3aUjX6OuKcGcivsmCqFZhNKqgvFCpbO+NsJDKsrKmVAZ7I2v7L+/La2TFROG5nlzKrCu93GQ8N8eq1T9abghSMQvSVnB1IUXGUoR15yEWhPSWdun7KIovD3V2DLtg2Qob8/LYP1p3pUYxS+HgYJy7tnfn5fEpemMh9vbHSubxVaswGtW7Lv9GjQO6BiPbutdv1MGeCNFQZV9eI1scFZ7r2dUs0ZC+qU7Yi2O5pVDWZMbm1fkkUV1jT39sPT3I7/SWdur7KIovn0vnHUWW3TwYXIvFUK+dg/Errio1vMh6r1ZhNKp3XbGZG11hncdG+jcpunIT0Rrd4ij/XAe9nVK+rCfHl8naatP35nd6SzvVNHe84ss33VcXB9gSDXGbrXNXaIlQ4Y1y7QrqloGaKjUaQbU3cSMLyquZuVHJQojoWtOc+rGwTjJr30yiLugU0xWgAEJQm30GVa56CM637QOFowr1UJg0IU5mt3I8k9hQWA/A0o3KlRpNoJJCyL2es8z8GktZyULQdUhniyu+VFYVDerUyxv7Y5ydWmViKe1EnfM6xbw8tdqw0aD1kHtw2UoxsZjmzOQKYxPLnJlcYWIxzWrGn2Hplaxiv63mWuhoi2/Tjdk3gJqfJqYpZuwoL1m93BNeApwUFXq3lt9hOtWU9u61LGH9LCivZCHYCrb1hNct0ly6ydRylmhYo2et0asXjnMFmxMl1/6+mMryPy4t8PLUqufO+vwVhR5dxk5XDlI41qm1HoV2xpg6HW4mljIsZ+x1i7WZtNO8k9aRtAFsujET29G6e1DZLDFNccFyloK5vDx23lpiTw4qEnG6tZz+MWTSG3yA6sRxlO3Nk9rPgd61UMkCyFhq3SIN6xrnppNMrWQZ7Imwb1s3WaU8GxR+cS7F/u3dDPdG1lwYCl2DrK2IhTSmlrOeDyfftKKocv97B7p4/UZ6U1OHHJGQxtj1zX7oRrN3oKtpFnqj6WjFV3hjappGZOROtO07QA+RUhpEomgH70U7fATt9jtQqeIlaiqVAi1UtluLOjvmidx+L2ErkQtovDKT3LBEswssrlhYX7dI923rZk+/YwkNb7kZdc13nLshlbXRNY3hLVEObI8zOtTDtu4wEV0jHNI3KCGvjllNMKAYo0Nx0kWUomUr4hGdXVtjXJhNupKtHlrlgVsNHb3ULWa6a7qGNjgEg0PEQjp6fsVBhUoNlVqtqVuLG4LaEy0/oHFLLMRExoK1JdqNlLXewKBwSd5ox3mx73p2NYuuwVLKIpVVjE0sbwh4uD1mvZ8ppGvc3hdjajm7IRCTG1zvV9fqdml58i2JAAAbpElEQVRCCh2u+GpN96hUqaH+219urjvLp6BbSzuSb+XkJzaHdG29gUF/d2SThdDodJNi33XWsplNWqQtxZZoaIMf7UbKYsTl0s3NZ+qOhBjeom1o7pCPX/60oD5wa6WjFV896R7lKjVq7dbSjuRbObnE5vX6WA1upGwOv7HHdTPQWin2Xa9mFWlLEQ1p9ERvBp5ySnou6c4n6+YzyfzgxtLRPj7PfWW7R8r7AHePeCB1sCm0YnQNhrdEOLC9m9HhOHds6yrah6/RjvNi37Wua8QjOgPdkbKWWb24+Uzt5E8LIh1t8cFm093NCMBau7W0I/VaOc2Y3lX4XdtKcWE26SzF8zRfLogw0OXu9nDzmdrJnxZEOl7xeUmt3VrakXqXaH7c6N2R0IaleGEQwW01R+FnUlBVDXP++9vBnxZERPF5TC3dWtoRt1ZOM2/0nJJ22uJvDCKksoqD29370fI/UxAHincqHe3jE7wn6DmG+YgfrXMRi69GmlGS1iia1UutVZZo4kfrXETx1YCXA8SbTTv1UnNLuzTTFOpHlro1UGmAuFclaY2g3vKpdqOwftbr+lyhNRCLrxZqHCAeJNqpl1ohhRZc/9ZVdnTZRS24dmqmKdSPWHw1oCqVnAW4JK2deqnlU6sFV80DQGh/xOKrAa9K0vzwMbVTL7V8arXg/G5BL/7FYOBK8RmG8b8A/wdwJ/BW0zR/6IVQgaXGAeLF8CvI0K61n7Uu4f18AEiAKTi4/ZZfAh4HnvdAlsCj7R9FG0g4dbd51FKS5leQoV1z1mpdwvvZTPPFq/MSYAoIrhSfaZovm6b5U6+ECTqaHkI7fATuvAc1O406dwZ17gysLKKGd1a1D798TK2UWFwL1c4fyeHnA+Ds9SXxLwaEpvn4DMM4ChwFME2TRCJBOBwmkUg0S4SqqCSTsixWluaxB7ej7brt5t9fewV98QbxI4+jhUrn8unRZeJldIyCosf36lwNbYdHXO/lJn5/h/ftCfHCpXlikZsKTtd14vE4yYzNfbv7SCT6N7znyUSCF6/Oc/b6EinLJhbS2T/Uy327+hr6AMhcuEI8XlqxFn73lq3W5UxmbbrC3svp9/dXikbLVVHxGYbxd8BwkZc+bZrmN6o9kGmazwDPrP2qpqenA1m7WEkm+8xJ1JXLjp9vZePSRF15jeV/OIFeJqXFTidJlvExRUN60eMH8VxBebma4ci/rUtxWs8wvXBzCRmPx5lbWCbRE+a2rmxR+fbEYc+e7nxpmZudaehniOgwv1h6OZv/3ef7AyMhbb2RwolXrrM1FuKf3NHPPUWGzddKK15X5di5s7qVV0XFZ5qmlwZC6+Myl69dgwyFNMuRX6zsLLeEd6tgvf4M+4d6eX5usarvPucLjoQ0zs2srg8eCusaiymL587Pc20x3dJuCj9pzRwGH3Gby9euQYZCmhnECekao0Nx9g50rQ8OvzCbZOz6iqtKjMLPYCuYWMxwYTbJ868t8Ec/mODk+HLVx7hvV1/V333OFzy5lNk0bS2kayylLQmIuMCV4jMM472GYVwF3gb8tWEYf+uNWMFFq5SrV+H1dg0y5CarHTs9w5dOTfH1l2eZXc1smqwG3jvy6x3jWIn8QJSt4NzMzYHkYV1jcild0zFq+e5z0ejZ1WzRa8JSSgIiLnAV3DBN82vA1zySpTXwIJdPx+buuXPcfTmvw4s2gjY0CgSzyUE5ii4JszYTGWvDZLV8vEwUblQZWn6yczHLK6d8ajlGtZ1rcvmGlq2gyLMw1zG6VStu/EYqN2rEbXv5Vu7wUopiiieka6BYn6w2vGXjg8LLROFG1SHnJzsXs7xyyicWdvxwOVm8COTkfMEhXcMqsJotWzHYG1mXUagdOWs1ksvl0w7eC5EoKLVx6HgFpdXKHV5KUUzxDHSH11u5z65mN7zmdaJwo+qQ85OdC5eylq0Y6HbsBlspTl9f8bTjS84X3BvbOOzcshXdEZ3tvZGGJ1y3M2Lx1YGr9vIt3OGlFMXqX/Nn6uY/XhsRxGlUGVp+G31dg4WUxWrWWX5Gwzrbe8LYSjG5lCFtK0+X2jl/4Bu2RPnrV+ZYTFlEQzfngWQs2ioY1mxE8TUZlU45y9tSBLjDSymKKZ78mbo3UhZK0bDuxo1KEcopn1MTy5yeXGExbRHWNXqjIXqiOpPLWRbTNqmMzfbe4g+z3FJ7dCjOC5fnePHiTNVL4ZCuce/OXu4e7tmUS3hwuzQ2cIMovibTjkPHSykeXYP+7jCH33hLQ3vcNXI0ZUjX0DWNA4PdXL6hO6Mo15RNSIPFlI1Csb03UnIfyYzNs6/MsaIi2AVL4WryAVullX8rIT6+ZtOGQ8f9zk3clCaCtylCF2aTdEV0RrZ1M9wbdYIayglu7NoaZWs0RLlDzCazzK5k6YpsvN2kOYF/iMXXJHJDitRrr8DrF1HpNGwbhMQQmqa19NDxIAztaeQYx5wPU9coOooSIJ1VJZfaQNt2v25VRPE1gcIUFrVnH0xPwswULC6g7jjY8kPH23k5Vil4smtrlO6oXnKpXSm2Irl4zUcUXxMoTGHRNB0Gh2Fw2LH0bt9XtrFBK9AKnYXrlbFi8GRHnNGheEmL9+svz7Zl9+tWRhRfM2jDFJZ8WqGzsBsZqwmelLN4c4qzmKeznRpTtBKi+JqAVyksQbWqWmFymRsZ3fowc4pzObPR6mu3xhSthCi+JuBFCkuQrapWGF3pVkY3Psyc4rycDPPixUnXwZ+gPgBbCVF8zcCDxgbVzGs4tKPHl5vC78ll1eC3jCFd4y239bMnbrnaT5AfgK2EeFWbgBdDiqqZ11DrjFmvqHXuhR+0gozV4NewqnajNb7tFsdtYwOAZBWF+H7dFH5OLquWfBltpZhYTHNmcoWxiWXGJlYA1bAHg5fIQHRvkKVukyhsbLC+JH15vqolaVdYp9wlHQvrvvnaGlky5hU5GaeWMly6kVrvrWcpiEc0biQtjp+bC/xS0e8le7sgFp8P1LMk3T/UW9GqalR7pkq0QlfpnIxbu0KkLUVI0whpGsO9UUa2ddMd0VtiqdguS3a/EYvPB+pJrbhvVx+nr0yVtaouzCZ9S5QtF/UMShTSOZZW0gINSgS6HJ0yrKrRyOPBB+rx01RjVQXR1+ZXwKUUflnFXuF3Q4h2QSw+H6jXT1MplyyIvragJTc3qmlpswhCQ4h2QBSfDzTq5gviTRG05OZ2WCq2c0OIZiGKzwcaefMF7aYIWhQyiFax0HyCbde3KZ3kpwlaFLIVItBC4xGLzweCuCRtFEFcWgbNKhaajyg+n6jl5rNsVfOgmqAgS0shiIjiCzi5dJB6B9X4TStat0HJOxQahyi+gJNLB+nbGmMlc/PvjU4H8fLmb6WlpXQ/6QwkuBFw/ChKD1rScTOR7iedgSuLzzCM3wX+KZAGLgD/0jTNeS8EExz8SAcJWtJxMwla3qHQGNxafM8Bd5mmeTfwCvAp9yL5g2UrTo4v84UXrvClU1McOz3DyfFl360bP9JBOrn1UauXtAnV4criM03zW3m/fg/4FXfi+EO+X6d/a0+g/Dp+DKoJWtJxM2n1kjahOrwMbvwr4L+WetEwjKPAUQDTNEkkEoTDYRKJhIci1McLl+dYVRH6t8bQdZ143FEzcWA5Y3M5GeYtt/X7ItvhgW3MWeNML2fW5QJIZmx2D8Q4fHCH50q5f+tq2Zs/GtLXv7egfIf5uJHpvj0hXrg0TyyyWcElMzb37e4jkajvWmi3c9VIGi2XplT5pZxhGH8HDBd56dOmaX5jbZtPAz8DPG6aZjVrQ3Xt2jXPJ97Xy7HTM+s3ejweZ2VlowM7GtJ538FtfogGOBZp4aCaRqZXnBxfLpt0nB+hDcp3mE//wDZOnL5cV0TashXHz82VzDt0Y/0H8VwFUSaoX66dO3cCVPyCKlp8pmk+Uu51wzA+BPwC8HCVSi9wBH1p59Wgmmpp5aRjy1Z89dQ4l6aW60pHacW8w3YhP4VKjy5jp5MNe8C7jeq+G/gk8KBpmi0b5xe/zkZa+eYfu77C1JLtKiLdSnmH7UJh/mRcg2QD/exufXz/GYgBzxmGAfA90zQ/7FqqJhPEelK/adWb/8Jsklisa0Oydw5JRwkuzU6hchvVHfFKED/JX9rlL+JaYWknbCSVtQmXmc/ut9tCKE6z8yelZI2NS7vxpM6yomWWdsJGgtYGS6iOZvvZRfGtkVvaPRLQKFdQySV+B6Wgf+9AF6/MF79JOtVt0Qo0288ujz+hbnIR1CDV9I4OxRncEuuIJq/tRLMHZYniE+rGiaCmAlXQH9I1Hr97h3RYbjGa3ZVclrpC3QQ1gtqqEelOpjCFSuE8sBrlZxfFJ9SNRFAFL8l/YDW6okQUX4ugLAv7zEm4dB6VTqFFY7B7BG3/KJoeqmufbpuNSgRVaFXkymwBlG2xcvwY6vSPIZNG0zTIpFGnf4w6cRxl117K5kWz0b0DXaQypSOoXjukBcErRPG1AOrsGPbsFFps47pSi8VQs1Oos2M179OLTsMSQRVaFVF8rcCl887StghaLAaXzte8Sy+ajUoEVWhVxMfXAqh0CiJlvqp0quZ9epUpLxFUoRURi68FKGXtrVPp9SJIYELoZOTqbgV2jzhWXxFUKgW7a+8V0exMeUEIEqL4WgBt/yj6wHZHyeWhUim0gUG0/aM177PZmfKCECRE8bUAmh4ifuRxtIP3QiQKSkEkinbwXrTDR+rK48tlyktgQuhEJLjRImihEPqBQ3DgkGf7lMCE0KmIxScIQschik8QhI5DFJ8gCB2HKD5BEDoOUXyCIHQcovgEQeg4RPEJgtBxiOITBKHjkARmIbC47RAtCKUQxScEklyH6Jm1Zqn5HaKvLqSkrE5whSx1hUDiRYdoQSiFKD4hkHjRIVoQSuFqqWsYxv8J/BJgA5PAvzBN85oXggmdjVcdogWhGG59fL9rmub/DmAYxkeBfw982LVUHYyyLWd4UMEYSfXAYb9FayqxsE7aKq3cpEO04AZXV49pmgt5v/YAlWcSCiVRtoU68WzRMZIrx79a1xjJVkU6RAuNxHVU1zCM3wY+CNwAOsss8Rh1dgw1O1N0jKQ9cx11dgzNw358QWZ0KM7VhRTTyxsDHNIhWvACTanyRpphGH8HDBd56dOmaX4jb7tPAV2maf5Wif0cBY4CmKb55nQ6TTgcJpvN1i18I/BTpqWvfqHkxDRd17HDEXoff7LJUpWnkefLshUvXp3n7PUlUpZNLKSzf6iX+3b1lU1lCeJ1BcGUK4gyQf1yRaNRgIp5ThUVX7UYhrEb+GvTNO+qYnN17do1EokE09PTnhzfK/yUyfrGF53lbRHi8Tgry8vov/SBJktVHvkOqyeIcgVRJqhfrp07d0IVis+Vj88wjH15v/4icNbN/jqdRoyRFARhM259fP/BMIw34aSzXEIiuu7YPYI6fRItFt30kkolYc9+H4QShPbDleIzTfN9XgmilCKZTGLbdsnlXjO4fv06qVRxP1ujUbeNoGJxSCUhlGeMWzaZnh6y24bQVjZWLCil0HWdrq4uX8+bILQSganVTSaTRCIRwmF/RQqHw4RCtY9r9ArVsw+Sq5BOOmMkNQ2iXYR7t2BZxdNZstksyWSS7u7uJksrCK1JYBSfbdu+K70goGkadMedn8K/lyAcDvtmpQpCKxKY9HdZprlDzp8gVE9gFF8QmJyc5OjRo/zcz/0c73rXu3jyySe5cOECV65c4aGHHmrosVdWVnjiiScA+OVf/uUNOUymaXL//ffzwAMPYJpmQ+UQhE6gJdeWpepZtf2jaHp9/jmlFL/6q7/KE088wR/90R8B8NJLLzE9PZ3LDWooP/zhD7nvvvuYn58nHo+vL/vn5ub4/d//fb71rW9hWRZHjhzh53/+5+nr62u4TILQrrScxVeunlWdOF53Pes//MM/EIlE+NCHPrT+t7vuuouf/dmf3bDdlStXeO9738tjjz3GY489xgsvvAA40eDHH3+cRx99lIceeojvf//7WJbFxz72MR566CEefvhhnnnmmU3Hfe2113j00Uf56Ec/yte//nWOHDnCmTNnePTRR5menuY73/kO73jHO+jv76evr493vOMdfPvb367rMwqC4NByFl+5elY1OwV11rP+9Kc/ZXR0tOJ2iUSCL3/5y3R1dfHqq6/ykY98hOPHj/O1r32NBx98kKeeegrLslhdXeX06dNMTEzw93//9wDcuHFj0/5uv/12nnvuOZ588kmefvpp/uzP/ox77rmHRx55BICJiYkNFueOHTuYmJio+fMJgnCTllN8XDpfNMEXHOXHpfPQwEL+TCbDpz/9ac6cOYOu67z66qsAHDp0iE984hNks1kee+wx7rrrLm677TYuX77Mb/7mb/Lwww/z4IMPltzvzMwMAwMDnD17lve///3rf/eqpFAQhJu03lK3RBH/OpVeL8Edd9zB2NhYxe3+5E/+hMHBQZ577jmOHz9OJpMB4P777+fYsWMMDw/z1FNP8Vd/9Vf09fXx3HPP8ba3vY3Pf/7z/Pqv//qm/X3yk5/koYce4uLFizz66KOcOHGCD37wg+vL4h07dnDt2s3eruPj4wwPF+sZIQhCtbSc4mtUPevb3/520uk0X/jCF9b/dvLkSb773e9u2G5hYYHt27ej6zrHjh1bTyq+evUqiUSCD3zgAzzxxBOMjY0xOzuLbdu85z3v4Td+4zeKKtbf+Z3f4eMf/zhPPfUUn/vc53j44Yd57rnnOHr0KAAPPvggzz//PPPz88zPz/P888+XtRwFQahM6y11y9azptBGDtS1W03T+OxnP8tnPvMZ/uAP/oBYLMauXbv4zGc+s2G7D33oQxw9epRvfvObPPDAA8TjTqLxP/7jP/LHf/zHhMNhenp6ePrppxkfH+fXfu3XsG2nk/CnPvWposf+3ve+x6/8yq/w/e9/n7e97W0bXuvv7+djH/sYjz32GAAf//jH6e/vr+szCoLg4FlbqhrZ1JZqZWVlXYmUfaNtOdHb2akNAQ6VSqENDKIdPlJ3Sgu0bn+yas+f1wSxrVEQZYJgyhVEmaDxbalazuLT9BAcPgJreXykUxCNoY0ccJXHJwhC59Byig8c5acdONTQ6K0gCO1LywU3BEEQ3CKKTxCEjkMUnyAIHUdL+viEyli2Yuz6Chdmk6SyNrGwzt6BLkaH4mUnlAlCJyCKrw2xbMWzr8wxs+LMpNU0SFs2J8eXubqQ4si+flF+QkfTkktdy1acHF/m2OkZvnRqimOnZzg5voxlu8tJDGo/vg984APs27ePD37wg1Xta+z6CrMrGwdxA8TCGtPLWcaur5R4pyB0Bi1n8TXKmglqPz6AD3/4w6TTaf78z/+8qn1dmE0SDRc/B7GwxoXZJId29HgityC0Ii1n8TXKmglqPz6Ad7zjHfT29lb9WVJZ29XrgtDutJzF1yhrJqj9+OohFtZJW6WVWyzccs87QfCUllN8qaxNubk6jbZmmt2Prx72DnRxany56AMilVXcOdjlav+C0Oq03KO/krVSrzUT1H589TA6FGdbT5hUdmOwJ5VVJHrCjA41v5mBIASJllN8ewe6SGeLR29TWcXegfqsmaD246uHkK5xZF8/h3b0EA3pKAXRkM6hHT2SyiIItOBSd3QoztWFFNPLGwMcbq2ZoPbjA3jve9/LhQsXWF5e5s1vfjO/93u/x7ve9a6ynyekaxza0SPRW0EoQsv144PGViVIP77aCGI/tyDKBMGUK4gyQYv04zMM49eB3wUGTdNs+FkUa0YQBDe49vEZhnEr8Chw2b04giAIjceL4MbvA/8r4GrNLGMU3SHnTxCqx5XiMwzjF4HXTdM85VoQXQ+kb60VyGaz6HrLBegFwTcq+vgMw/g7oNgg108D/w74+WoOZBjGUeAogGmaJBIJwuEwiUQCcCyW2dlZ35WfbduBtJ7KyRWJRBgaGkIrl9ndIPK/w6AQRJkgmHIFUSZovFx1R3UNwxgF/juQK47dBVwD3mqa5kSFt2+K6gaFIMoEIlctBFEmCKZcQZQJAhzVNU1zDNie+90wjNeAn2lGVFcQBMEN4hgSBKHj8KxywzTN273alyAIQiPxrXLDj4MKgtARVPTx+bXU1QDNMIwf5f4flJ8gyiRytb5MQZUriDJ5IFdFxMcnCELHIYpPEISOw2/FV3+3zcYRRJlA5KqFIMoEwZQriDJBg+XyK7ghCILgG35bfIIgCE1HFJ8gCB2HL63nDcP4HPALwKRpmnf5IUMha30F/wKnIYMNPGOa5tP+SgWGYXQBzwMxnO/rK6Zp/pa/UjkYhhECfojToecX/JYH1ksnFwELyJqm+TP+SgSGYfQBnwXuwslh/VemaX63/LsaLtObgP+a96c3Av/eNM3/5JNIABiG8XHgX+OcpzHgX5qmmfT6OH5ZfJ8H3u3TsUuRBT5hmuadwP3ARwzDOOCzTAAp4CHTNO8BDgHvNgzjfp9lyvEU8LLfQhThsGmah4Kg9NZ4Gvgb0zT3A/cQgHNmmuZP187RIeDNOM1GvuanTIZhvAH4KE7N/11ACHiiEcfyxeIzTfN5wzBu9+PYpTBNcxwYX/v/omEYLwNvAM74LJcCltZ+jaz9+B6RMgxjF/Ae4LeBX/NZnMBiGMZW4J3AvwAwTTMNpP2UqQgPAxdM07zktyA4OqnbMIwMEMfp+NSQgwgFrCnle4Hv+ywKsL6k/BEwAvyhaZpBkOs/4XTe3uK3IAUo4FuGYSjg/zVN0+90jTcCU8CfGYZxD873+JRpmsv+irWBJ4Av+y2EaZqvG4bxf+OMsVgFvmWa5rcacSwJbhRgGEYvcAz4mGmaC37LA2CaprW2JNkFvNUwDF/9ooZh5PyzP/JTjhI8YJrmfcARHHfFO32WJwzcB/w/pmneCywD/5u/It3EMIwo8IvAXwVAln7gl4A9wE6gxzCMf96IY4niy8MwjAiO0vuiaZpf9VueQkzTnAe+jf/+0QeAX1wLJPwl8JBhGP/FX5EcTNO8tvbvJI7P6q3+SsRV4Gqelf4VHEUYFI4AL5qmed1vQYBHgIumaU6ZppkBvgr8XCMOJIpvDcMwNOBPgZdN0/yPfsuTwzCMwbWoIIZhdONcHGf9lMk0zU+ZprlrrRXZE8Dfm6bZkCdzLRiG0WMYxpbc/3HGIrzkp0xr3civrEVRwfGn+eo3LuCfEYBl7hqXgfsNw4iv3Y8P06BAkC+KzzCMLwPfBd5kGMZVwzB+1Q85CngAeBLHejm59vNP/BYK2AGcMAzjJ8ALwHOmaX7TZ5mCyhDwPw3DOAX8APhr0zT/xmeZAP4t8MW17/AQ8H/5LA8AhmHEcUbDBmJ1s2YVfwV4ESeVRadBpWtSsiYIQschS11BEDoOUXyCIHQcovgEQeg4RPEJgtBxiOITBKHjEMUnCELHIYpPEISO4/8HYfH8jzXP+bIAAAAASUVORK5CYII=\n", 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\n", 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for n_seeds_S, size_ngh in [(1, 1), (100, 100), (50, 50), (100, 50), (50, 100)]:\n", " X_u, y_u = CondensedNearestNeighbor(x_vis, y, n_seeds_S, size_ngh, 1)\n", " print('n_seeds_S ', n_seeds_S, 'size_ngh ', size_ngh)\n", " print('y.shape = ',y_u.shape[0], 'y.mean() = ', y_u.mean())\n", " plot_two_classes(X_u, y_u, size=(5, 5))\n", " plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing CondensedNearestNeighbor with other models\n", "\n", "**Advantages of CondensedNearestNeighbor:**\n", "\n", "- Create Condensed space\n", "\n", "**Disadvantages of CondensedNearestNeighbor:**\n", "\n", "- Variance due to randomnes \n", "- Need to define the two parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other Under-sampling methods\n", "\n", "* Under-sampling with Cluster Centroids\n", "* NearMiss-(1 & 2 & 3)\n", "* One-Sided Selection\n", "* Neighboorhood Cleaning Rule" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Part 2: Over-Sampling\n", "\n", "## Random over-sampling\n", "\n", "Replicate the minority class examples to increase\n", "their relevance" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "import random\n", "def OverSampling(X, y, target_percentage=0.5, seed=None):\n", " # Assuming minority class is the positive\n", " n_samples = y.shape[0]\n", " n_samples_0 = (y == 0).sum()\n", " n_samples_1 = (y == 1).sum()\n", "\n", " n_samples_1_new = -target_percentage * n_samples_0 / (target_percentage- 1)\n", "\n", " np.random.seed(seed)\n", " filter_ = np.random.choice(X[y == 1].shape[0], int(n_samples_1_new))\n", " # filter_ is within the positives, change to be of all\n", " filter_ = np.nonzero(y == 1)[0][filter_]\n", " \n", " filter_ = np.concatenate((filter_, np.nonzero(y == 0)[0]), axis=0)\n", " \n", " return X[filter_], y[filter_]" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.1\n", "y.shape = 1000 y.mean() = 0.1\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": [ "Target percentage 0.2\n", "y.shape = 1125 y.mean() = 0.2\n" ] }, { "data": { "image/png": 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swMQonD2J/uETeD//f2Dsu6uprnEz6+6UnUHv3AOjwzAZS24MDkD/Rjl2gusCCfElAGIxvfFRSKeF3EoFmJ2FyTHo6pX2Nc8FZYBhCDGMj0qN23vfL5be+Ai4FRi5CK4rdX+mBYUZeOzr6EsX4f6Hm0J+8TUr266ru+PC2ZWfZ8duOHRALNmBTfXnchzYs++y15ygNZAQXwIgFtNLp0WMwHXFxUulxGUdHxWya2sD34f2Dnl/cFPUq3vkeSjOiqXneUKQWgsRKgMmxppaDxevu9Na11lq+sRRdMXBeOvyu0mWKtlRe/df9poTtAaS5EYCQShBNTosMa6OLiE90xJ3z60K4TmOvG5nJO7VvxFl21SPH5HaN7cKvkd9JkCB9qFUEkI5NdTUNWuthawvXZRzq+D0B58Va9RbXsfF/E4VDak0at9d8vr1kr1OkFh8CQQ1CarJ8Siw37NBLDjThGoVTEP+vWFQAv39G6O2NceRbZSxQGZUAb78s+LMP/8qYnW1NYdkPbcMRbFi5ZiwUyUpVL6+kRBfAiAmQeV5kbGmEJe2vUPc3N4NQmq794pM1fGXxJoyTdytO6C3Hy6ea1wWon3IdIh1NjmG/9jXawSnt90EF8/AxPiKYnW1NcfJOo5ANqt6/EgimZWgDgnxJRDs2I0+dEAsurnN+K4nVl61AlZqviCpU5G4XtqGTJtsp2PurvZlvw2DMHQYsp11IgD87V/K/rv31p12yR7ZcM1xso6vuW8gWN98CzPB2qNU8fjKc8MculSi6vqkLIN9g2188O6NtKWvbFghIb4EQCywPzYME2MRqbmeJDRu3AVDR8F3oVyd834Wc+sOeOUobN0hGdyTQ1ANZAsMU2JmhWno6IEtN9SfvDQLlYq4rHOyqbWYYAPiq635xMv1b4Rr7h+U39dIOabi+nzr5XEODpdwXA/bMtm/sY133NJH2lrf4fVSxeNf/OUpJh2PlKFQSuF6mmfPFRgaO8VnH9pxRclvfd/9BDWEgX3e+JAkNtywhk0kqKh6cMerYXBLY4kqQ8HmGySDixb3uK1DkiCWJVbZzLTECeeaZ55XK4puiAYxwbo17/+pyLWOrVkpo6Ycc7VRcX0+/+R5njo9S8XzUUpR8XyeOj3L5586T8X1r/qaWglfeW64RnpxpAzFZFkswSuJxOJrgPU6S1YZJua+u9G33lG7/lr3xZ7bUXv343/rjyXWF5aOjI3A5Djuxi3Q2Q1t7VAsygHtNKiMuL/ZdhgJrMm5lp1pCvktlH1dpHBYGSbGW9+JTtstpRzzrZfHGS262Fb9g21bipGCy7deHuc9+/qv6ppaCYculeaRXoiUoTh0qXRFz58Q3xw0vSj2GsSimc1UGo4eirKoCvA9vItnJeGBhpQVuZlxmKYQ6eR4PfF190nBc6qx1p/afduS6+X+h2EOWa+lcszB4RJpq/GDbVuKg8Ml3rOO66Grrl8vZDv3fe/KWsQJ8c3B9ShG2VQLVhkSw0vXk5SyLInh2dkgsdEAmTYozM637PoHpUe2vbN+3SsoHG61MhTH9RZ9sCvu+lZzTlkGrrewIkTKvLJRuIT45mLOLNk4Fgu0NwOLEdRlHbOZFqz2JH5Xqpdv0q4rxKW1xNsaua3Z9mhqWxyVqsQPt9wAp1+Zb7E1WF+rhyNsy6SyiNWSblR+s46wb7CNZ88VGrq7VV9zx+bsFT1/QnxzEJ8l2xALBNov+7xLENRq59Y23YKtViXZMXqpTqXYHNyM29kNI5dkm6mx+aoung837IQb9wC6McHtu3vpa7oGwhH7N7bxw9OzDd1dx9Xcs6VtDVbVOvjg3RsZGjvFZLk+wVH1NT0Zkw/evfGKnj8hvjmomyXbCFdIoWMpglr13NomW7C1+zOnkd/KZqkUi+gt2yBlw/M/EmKrlEXwwHUBLTV9m7ZAJgt79q3KQrsWwhHvuKWPY2NlRgr1CQ7H1Qy0W7zjlvUtcdWWNvnsQzuiOj7PJ2Ua3LE5m9TxrQmCotiFhuosFWhfNZYgqEbdB8tx95puwS7j/qi9+/EHNsHXvwbTk0J2IL29AKdeEfmn1VpoaxiOWC7SlsFHX7+lVsdXcT3Slsk9W5I6vhBtaZMPvXbLmpw7Ib45WCuFjiUJKug+qAl9HnkeLl2QmNrAZth1czQK8fwp2LQNdeYVGHpJStzm9taGWKEFGxU6XxJ15kANxUlZMLgVbg6+GA49J0TX3SMJjeKsvD47DUh/rRrYtCoLbe690tqvd70NE78F4n1py+A9+/rXdfa2VZF87czBWil0LClyaduB0Oe/hx88DmdOCIkUZ+H0cfjxUyIImk6Lm/m3fykuaU+f/Lx0EU4cIz5AXjuOaNCtZJ2GCfe9RY45NiLtbZaJObBJ7tff/CX+S8/DuVNR5tcpSTZYGaLeUinXipVXo9YSv1da+5EySyyhkszCTbAYEouvAdakNGIJFzK1ay/68T+DU8dFHsp1EfkRhHwmJ+D4y0J0lSqowMLqH5TpaKWS1N4FxcPLsWAXcqW19iGdQe3dX7O2/IkxKJfQJ48J4Wktqs0AfqxsQRkS88t2RK+twN3WvodGwUsHpdVtdlruRSYjcUM7A4MDdfE+Bq9soDzBtYfLJr5cLrcN+H+ATYju0Jfz+fwXL/e46w3Lmlv7tf8gpGcYQdwsIJZQFv7CGfndMmvWj1JGIKceuIKT47Bl+6KlIrBE5vTiOdi+M7K2SiVoywRrQeJ2lgXdvbI2Q9WTn/brM77LdLfDNTE9AbNTohBdcahoxXe67uDF7psopzJksu3cPnaRR8aPkD59nNnRC/j9m9fc9U3QOmiGxecCH8vn88/lcrlO4Me5XO7xfD5/uAnHXjdYVvfB7IyQHloI0PfE4lNI32zFiZRKYsSilBFlYbXGePi9tfcWtOp8HxbKnM5OieUIjccxKiUCpjMz0NUFdpu45CqIrGhVG9yznIRRrdn/+DDlmUEyXhe3D6Z4ZOw5GB/hd3e/hxG7C1uBMk2cQomnVB/Hul7HRyZ/QHvFaalSlwRrj8smvnw+fwG4EPx7JpfLvQRsBRLiWyGWdLENQ2ZelEtiQYVGVFgwrLWIAFSqkSTTXMTjYw2sOl0pw9/8uczS7exGW5a0lPUPCoGCqJ1Mjs8jWDRCcG5V1lMNBAs6O4WUq1VZY5BoWY67HTb7jxRd7GIZwzBwKvBU+06OZQbZ2XGK0UwvNoHrH3wh2CmDEbOd73Tcxj9gfqlLqxdAJ7iyaGqML5fL3QjcBTzd4L1HgUcB8vk8/f2t16BtWVZLrgtkbdYNN+IeOxwkXCwhGB2YfFpDKoVlmKgOG+uG7fgjwxJ7c6tgpTA6usi8+R1kgmt0nn+GilNE9fYCoH2f6tBL6GIBr1rBqDgY6TR6YhRVLqK6etGTY/iFAn5pFtXWgdHRGYTyFMbMpJBZdy9UHLRhYFgWenYWo38QvziLYbeR2n8PRrad1K69pG+/u2EvrfY8Ki8+xx8+d46xYhtthoF2K6hUGt/zyPgeo9rmVPc+er0iygitSR+UyBxltM/hzh0YxjjZbBayWRi9QHvv/RQf+wb+2CWUnZF7CegTRzCmJ8g+/O6r2t/b6n93rbo2WP36VDzLdznI5XIdwN8A/zafz//JEpvr8+fPN+W8zUR/fz+jo6NrvYyG6O/vZ/iv/xy++gUhsnCQj++LRp4yYNMNsH0XbNkOB58RCyt0Q6uuSEb1boBtN8koxeHz0NtXs+T0yEURCzBNydgqxHL0NQyfk58KsebCuRqZDAxuxqw4eJMTktgI58+WS9DRKUKlW25A/fTfW5ZFFbdE/417KxWCmsRSQSxeP2oFO2X3s6N0SX4xTEBHrrZhQCbDFwYuUAwVY7SGPfsWr0XcdxfGVUxstfrfXauuDeavb8uWLbCM0e9NsfhyuVwK+Abwh8sgvQSrhHH7Xfjbb5LkQrkEaEkiZDqF9G4KkhjnT8PUJHhVcW07OoWoUmkZFzl2SeJ9F87A5Bg60K5jUjKzlEvglIVg0xmJLTpOULpiiUtrpYSASiW4dAGdycp5whm8rgdbd8ioRoBUetlkEu/McFwj+itWKpreFte2NwxZSyh5bxhCwFYamznlLGn7miiATnBl0YysrgL+G/BSPp///OUvKcFCUIYJe18l2dL4wOuePtgwIKrHlYpYeV1dspPrBUTmSMyt4sDFs+jeDfLvUhE6OtEDm8TKC63JtC1kMjku24WZY43EEe3gfV+DMsRlzGSic8YVkGFlHSIxYrLxaxYfWgcZbV1bT5dbpIJJ2lRCxnYGUCjDwNGKe1IztcOGiRR97NCqu1nWUi49QfPQDIvvXuD9wMFcLncgeO1f5vP57zbh2AnmQN24B10oRJZUAD1yUWra2tqlmFf7QmCZNiE005TXvMAyKszK7xVHSlIgNgvXD8REtZBl6FqallhSqRSgxLU0gLYsuloR4jNMSJtSW/fyIXRIzJu3Lfsa450Zt1sz/LDai60CC89K1RSbHRfeNHWYE+2bGUl1Y1smamAjTE5SrroMmBXenhoBsvWJlFNDi/ZjVyyb7xwanScZ/5Zd3fzmX51ZM7n0BM1DM7K6P2AZPnWC5mChej9GL4l76jhS3xbG4wqzwfS0YDSkUkH5iyFVl9qX/c6fkRaz2RnR2ws6VqTjQgdJFIR46j5uDZ3dpAY342Sy0rExR6SUi2chk0X73rIypnGhiLenRjjmtTPqp0mHVqdlUbHbGWir8M6BDmCGb1czvOh3U0GR3tDH3WqKt5dOkXa1lAXtu6sWX9SLFIs7JYffzb6K0dOz2Jaqk4z/7ssTVH1Neo5WXFwufa16TxOsDEnnxjWGher9arNvPU8sM78i9XLViiQEPMC3hIxSaSBwG5UpcblSURIf4dyLmhqyitxcNJSLYlWGCGryzG03wrkz80VKXU90+lJp9HJ7csPpaekUqbFhPjJ5hO9k9vCiNYiDgZ1Jc09qgrenRkgHHPQuzvLu/QOovduiMhVX7k1q117U5u010l2sWPw79m5GrfaGkvFTZY+UqWhk1F0NufQEzUNCfC2IRjVmzqvuQQcPb6N6P+/HTwYN+gYYqYDs/LoMqCCodSuXxA32fJmMNjmO2nMbenJcjhHW4mk/KJIOyK9ahVBKzvPEje3sIb3nNorFApS31un00TcQ1QAuM2mg9u4XoYXnfwSVKmnL5F3Fw7zLfUHc+Z5+uPnWKBsduLHcfFvDbpPKgafRRw7VipcXKxZ/8UIv9gL6oT6iF7cQrrRceoLmISG+FsNCrWJzH955CLOagJSZtIkVF/4eWnimKURWqQqJpVKSzTUsES1wXbH2vKBEJpWW7LAyYgOBgtrB3j7YvQ+1YVBa6p59SmKPc+KPNSwzwaEMEzZtg2NHQM3Uk+itr4KL50WqvndDXXfLwjp9mXkqMAsViztnTy6Y+DBU5PE3wpWWS0/QPCTE1yIIrTz9zPfh/Fmw0+hYx0Sjh7cO2Q6x4qrVoK0teHgtK+rvTdsBeQWFz8qEng0icGAYMH4pKJNB9tF+pHiiVKyUJS1ZXbsNSgX0RolrNVPEVZ15BbYukBDZsk3KY2KtdwC6CWUqi0nGZ1MGs5XG710NufQEzUNCfC2AuJXH6KVIZODSRZiZEpEBlnh4+zdKgXK5LDJQoUuWaRO31bCkc6FYQJSQEbJzgqHffQOyXbEA01OyjTKkdCVMaISyV109qFtfFa3/pecpzk6ht98Eh19oXBhcLkPKxn/s68tqEVuNgGozRFcXk4zf0GahcKn6ek3k0hM0DwnxEVlbs6MX8CbGr3rfZtxF06HIAAgBlkpChu2BjNNCD+9PvQH+/E/AVtG24yNCoGkb+jchyYlyoI4SdDak0uJGjo9INtjzIzUVFcheua5sYxhSrlIq1J1a2Tb+2DB0dKP6+ucnDcrlSNQgk1nWjIzVWI9Vy+bbxW5edDslCYLP7dYMuUxhwX3mYjHJ+I2daX7rwW38wYGRNZFLT9A8rHviq7O2envXZnBN3EUzzaAdLIBlSrKAm+T3BR5e47Y78C+chaHDolPneZJ9rTiwYSPs3C31fKPDoC3JxoZJjHIpSoYoRV0mNyS/tB1leueQr9Y+3vg4/ORp6eAozqINAzYsxdOjAAAgAElEQVTeAFu3Q6cNKFQmLiCqYXoCfeIo+sTLqK076r9sljkCIPzSqpwY4gujGxjxTOyU1PlVMPlhtZdXprr4kH8YO6YCs1gh8lKS8UnJyrWP65L4VqK80QqDa+pctO5eOPUKVJ26ImTt+wu6i9x8Gxw9LPuk0uCY0NULt22FyUlxVU8OifWoAC8QOSgWAoLMBh0bAeGZpqQwTRM6uoIyGTewwMSi1NoXrT/twytHqYxelISJnQmO58HUhExUqzrzSe/Esajeb3oCBjdHE+Xue4vIYl08g56dFtLtFiEFxkchnUa3t+P5vqjIHH+Zb7ON0bSBXS2DI3p/OpUibaUYUTbfadvNewIVmFLF41/85alFC5ETyfjrG9cd8a149GAL9G2Gbp3WPsxMC4GFpSlaQ6lI9aUXJKkA9e7ii8/B9x6TeRqZDAxugsFAYTnTAb/wbpnRcWpI4nXKADfowy0VIgXnsGQlPKevwa9KXR4q6I8NRUVFgLQmcDoxJtZiXNHEMoUohw4LGQ/GMr2jw0J6pikF1uUS2pXMrR4dhgunJXGyfaccf3Ichl6SNey6WVrhLpyFp78v72XaePGmO0l7lSBMEOvp1ZA2U7zYuY33Bp/7V54brpFeHEkh8vrB9Ud8K7Tg1mqObh3Cgt3pcUlM9A2Irl25JA9wZ5dYQIYh5BbHzCRMjEiWNSPkorVfcyM5cVTUivv6hVQ7usXSc6sErRVi0cVdWzmKvO+GZS0GZDtlv2x7FHucGheiRov0exyWKW63Y9YT3+S4kN7kmJzbjHV5nD8t1uVr7pPPZWCTyBFUKtGyXjwgcvqz0zUdwrIPiuDLIrRcFai2dpRSODNRXPLQpVLDQdaQFCKvF1x3xLdSC26t5ujWrSvsJDjxcmQ1tXeI1dOWhZ17UKePC4nMxdS4rHFyXAhiYkzUV8qloERlRLbTZ4UMMhmxwIywLi/oyPCDnyogIR0SoSlrynZIzZ9TCtRaSkJ4mTZwPVQmg47P0QjhedDVi3Yq0efieULs1aqcKxMbrl2tyNqf/5HEC01TrM5MRvqHn3+GWk1iKKhQcchUHRxrzqyPsCzFMLCdiPiqrr/ol11SiHz947ojvhVbcGs1RzeGsJNAnzha3/UwOBCNhHTdWk1d3TjF4fPUppc5wQDvwmzUsVEuy7FChZViWpRTjIAknHIwuCjYPpSvMg0pjwnPOzEqg8LbO+Q4vg7c8gp0dGF0deO71fkXZ5qw+QaYnBBiB7H0nLJkiK2UWJByYWKNal9+tmVlPTNTEtsDuc5UOnDRNSixhG+fGOKHg68irb3oWIAuFymnbF6bnpLffY+UV8Gtemit5d5aqUCMVP5uWrUQuSbBP0c8IZnTu3Jcd8S3Ugsu3rdJNnLVtONAzwa09pdde3ZZ6zZM1Nbt9S5hHJYF2q8f8GMFJSah5FTo/oXX7/uABs+MZnGEP+22QFA0tG5UpOCiNeggRmaGEvfBl0m5KBp9qZSsNdsp5200xtH1xLWenBByMU0YG5ZZHE5JiK+zOyI1pyzEbViReowKrs9z5x8/HLqkNY9c+DuOdW9nxO7GDtcSSFMNzo7wyLm/wEsNw9lT7Mvew7OZraQAtEZXHZQnk9qqPlelEDlOYp46j6m9RUmsToJ/jnjCsbEyH339loT8VgDz05/+9Fqc99MzMzNLb7UK6GoFfeEcau4AHAILbs++OkknpQy4cRcYBimnRLVUEnLcdSsUpuCMtDApJQW8+sJZsbJu3BXNoLgKa7c8F0+ZQg7Tk5Gycmh5pdOBOks5pp0XklqsLIVAacWtBq4igXuIkIwRFCyHM4U9NzpOKATqVqPBRv0bQfuYholfLkvCZGxELMSpSfk5PSEKLRVH1hu6qdqX2F21IsQZErEfkG86iGc6peg9yyIaWkSN3E18fvrSQcpmhnG7G88wsQ24Z3qID5z9ayGFYMTm/sIZnszupGCmMQGFQmsfVyt6smn+2Ru2XlGrLySxl0fL0hBjmlRdj5MTFV4YLvDqrR2Yc2KQf/rSGEdHy/PEEyxDMe34lFyP2wabT9jZbDZSr25BzF1fZ2cnwGeW2u/6s/iWGNPYaLBN2LfZ0f9myoGMtX/4AHpi4rLKXFY60Gaxtaf27seZLcBPflifPbUzQgaeFwzz8aO4XRyGCmSodEBeXhTr09Vo+0ybEFSlHMX9CParWdJKXEOnLN0lbW20vfOXqP7R70uMMRQsTaXkWCPFINlgyDraO6NeYj9ISPjBugwFbtAqV5gR8osnXFK2tNyFGWZDUdQWn7vtlxjq3IZrWFi+y+7Zc3zs0vfIzk5itLXhd3aJtdm7gQzwWxe+w2e2/AxnrG48FCaabV6Rzzy454oXIn/r5XFGi25DBZiRgsu3Xh7nPfvq50gcHC417CYJ9zs4XErKb1aA6842VoaJuv9h1L67IqsllRY9tpUUIy8nSbIIamU1h34C1UpdWY1+4jF04I5p38M/fAD/sa/jf+uP0U4ROrrQVqpu7dmfeS/Gg49IxtcIhAYMEwY3S09rxQkIAeaRXjibozaLMthG+xLHi7/uOLEhRvHjxIeCI50fVUcyxo6D86MfiPVmZwKS9SL5ej+05FyxIAuzAemqWJwvG83TME0hTT9Ynx/UGtqhwrNbE0gtKpsPvebjHOq+CdcU2S3XtDjUfSMf2v73KXb0YvT1B9aquMsVDP5z/xvA89hjlNhrFNljlFDAl340TMW9ssmN5ZDYXDhug1BCDJUl3k9Qj+vO4oOFlTdWgsspc9G+h/8XfwoHn5XfQxXi/o11FiN798+vOXRdtFMQ6/Rt74405EIrL2UBWrKiFUfc3qlxeaiNcJB4AwkRrYWsIBIe8Nygdi/8MghUXDQxGRIVucPxY4VlLk4ZZqaovvAjyaJWAjHUMFYY3RRq9YCeK4RoWpKcCOWuQNYSrtMItAKdsqw5ZQshplJC8rOzfO62X6JoZjBV/XpNoGDafG7r2/itwpPyVnDc72T3Mmq2Y1NPcLaxsMW1EFYzptJxvUX/thqR2GLiCQDpBuGRBAvjuiS+ZmC1ZS6hpcfBZyPjyg8FB6ZlsE9gMWqYV3MYr8HTJ45KwmPHbvzX/j05brEII8NRgXNxQogGFUlJyYHmL840A+vPk3IVKxWRTOjKWkEPbyhiEBY4z7tQDQTS9YaJ7/uS+AgnsMWNy9o+sX+HdYR2Ru6lIkpghK1zITmk0nJsw4hqHMdHQWuGurZjqDmWaZCMMYGhVEBgrietexWHF+3NpPFjLjRSJ2ka2FNjHHzhIu86/b0lCWzFxfIBVkNii4knOK7mni1t815PsDCuO1e3adixG+00Jj7tONIq1ui9oIB63kNvmRLTCpv1K848d7qWsb10UfafGq89SDNf+w/osdFg3gX1pBrKToWvN0q6WAHBhUO9Q3c0ZKO4BZJpk6yvaUWJkrnwA+KouuLuhrM5apZekERptK9CYnq2HYyAbAsGFHVITC9UcA7P394hfcebbojim8H8D9dY6Ltb1uAqA+264irvuhnaspRV8AUQ3BMdutRBIsfBaBiWmHeGJYrl9ZGDDffbv7GNittY2M9xNfs3ziexd9zSR3+7Rdn1mXU8RgpVLs1WuThbIWXAz+zpXeA+JGiEhPgWgNq7X5RGnDkN+YskSYCIzBoNpLbMSNo9baPnusujQeGxaUgcbOSiPDynj1N56QBMj0mGtK9fCorDTG0oMGoGennhXNk4fD8qZQkTDRrCAdxy0cF+3X2RJTZvxkaAUJXTd8XtDQui5yk+x29quE8QXwz3mZ0JQgc6KmFJ20KA4eAj34ddN6P23CYlMLYNdgbLb1DmEp0Qy/cwNwxKEbhhws49ZMygdMdKoYNsPZ4HTgldLmJXS9KLvASBrTYOHJKYM4f8HFcz0G7xjlv65u2Ttgw+/NrN9LWZlFwfX2tMBVs709y8IcP/d2IKbxF16AT1SFzdBbCYPPmi7k8YG+zuk+Hchhm1nwVdBbq9E+59EH78FHr8UlSwPBt0KEyOz2vl0rMzYg1290ZWUHuHvF8O6vhUYHH5oZ8ZxOfCQduWBZ6KDQRHtk1bQnh2MLujqztoQwtQcea7u2GyRAfnipe9NL6hRGKmgTtaLERxvM5uKEwLGYbtaeEazJSs7eSQ9AeHkvipFLunz3C456Y57i6AwlOKvf44bW/7OSov/BiCGNzt2/v4odOJbSrpeImFNBytuGfqBIy/UgtL6JPHJBo4J46nnTLKWMR2iH2xeb7m4HCR4+NlHNdnZ69Ne9pgrODKR2AadQowjfDyWJltXRl29c23CEcLLgeHi9y5ub3BngnmIiG+RbCaJEktNtg/KIW9F89F8TiQh35mGr7/OJgKnEokPDozLckKpYT4fFOswLB+zgtmZbTF6rXsNtnWCayWeLLCD4qQrVT8osCIlbyEyivtnbKfU5ZJab4fZGQXsSJqbqxePB4aWoyGIWsPrblC0LY2Mw29Qe1gNegWsSxxb30hOExL4mYdXcEXgogpfOxong/d8xEKdQkOma3U7pb52Lm/APag3vqu2pfVz7o+Q0+dZ2RsinTVxQPOmN2UVBqlYLirkxedTXxs9BDZ/o1w9EV0YXZ+HO/iOfT2nQsnKoI4sOdrvnt0grFa8bHc1s60xc7eDO9/3R4mxscWuX+C4+PlRbPBx8fLCfEtE4mr22wEsUGlDHlIU4EVFQbdBzdDby9MjgghhRJOINs5ZbGEfC8irLD2LlRL9mLWVzZODmZ9fC+VjmrpKoEyczhECIIMahDvKhXFMm3vEovPrURxu3kIXGUr9r3pNYiDhRZepo2a3FVHl2S4S6WoI8P3peOkuzcgw2DQeTlQcOnphY5OWc/h5+ULpeyAUyZraP7jj3+XfdMnxe31NZbnsm/qJP9x6L+Tbc/IvJJYrC5tGXz09Vt4nX8JA58hq5+ikcY0NDYenmFyKLOJD1n3URwdhkqlYRwPKyDjBojHgQ8OFxlfoG5vtODy3NnJhseYC2eJMpul3k8QoSkWXy6X+yrwduBSPp+/vRnHvFZR1wI3NQFdXfKG60mP7M49cPyIWANTE7D7Vkl4BPJKzEwCqn6EI0RZ5GoVunqiljXPF/I0TZGMT9tRdtQ0xZoK43jhTN2wg6PW4UEsSzwb1MsF5GYaETGHCON74XEXmsCjkfazDQPSzRG65yBkXCtxQUhtcjySkwrd6NkZ+SJIpYOxmZ64xU5Z3jMNshmbf33yG9KX7Huy/p4+6GyHng0N55WkLYN3Wed5Ud2EpXzSaMl0BzCVooDF5/x9/OsNhxpf35Yb4PQJifsuUiy/lKV2ZHiWrdvsJftwbctYNBtsJy1ry0az7tQfAG9r0rGuadQVUIcwA1mmnXvEEqzV0Uk9lxrYJEH7u14jFuLcuJH2UakUbNwqsa6b98HARiGDgU3Q2y/Wxe13y783bZX/QosuPGYqDcqsd4XD2J0O2sE8V0gplKryPWokGLp0YfY2zLouBENBOiXuuJWqV2HxguPGfw/VWmpta8jxw1kglbJcw+5bYddeCScoMxiQpKUIetNWUX3OZOXLo1/mYDRKNqi0zZBux6gNZ6oncFMphuxBOU+jz1oZsO3GJYvll7LEihWPzz95nqdOz1Lx/Lo+3M8/db5WUL2rL7NoNnhXX6bhewnmoykWXz6f/34ul7uxGce6HhDGBv1TQ41jX6YZJTTi+ykD3d0rlptSUYazrQOju0d6YTPtst3Apppcuz55DOVWRdl4diZSNi4VqAkNEMbF3CghgYr068LMJgTDiYLXwt7auYmLOAk2vguyTaUipNA/WE/ophnV8oVSUiEBheU2IXwNSkfWYKjenG2X/wxTYpRnTsjvpgUb+iJlmxANlHnccSWUFwqwxq1Xw8TFWLQnW9ltGEvEgZey1I6OzNTif/X71RdU79+Y5ey0w2iDeSD97Rb7NyZT3paLq5bcyOVyjwKPAuTzefr7l1cZfzVhWVZT1+W86h4qz/9IEh4xuIOb8c6dxty8DStb/8fqdPeg27Ioy0LFY2iui+GUMWwbO2VBykL7Pt7T38MdHRYay7RhbOhHo9CTY1Q1QW9s4G5PTdRnZ7UWV1QRkE6s+8G0wAtKTEK3uOYaB+5x2G0R7hOSR7x6OZWm+xf+T7TvU/rff4R2RCbLNc1IfCDcf2YycNM1YMRKb4JNTBNlmpheFdVWb92kd99CpTSLMbAZa1O9erJhGGSzklTpiH2++t77sQ78LZ5WgXBz7FxKoSwLw/dps8x5nyGAdsqkX3UP9hJ/M3fvNHnm1CR2aj6Blqs+U6VJ2tsal8WkUvDyuFv7u3x/fz/PnZ3k4IVp/vbYKMOzojrdaVtcLMKH79vV1F7jZj8TzcZq13fViC+fz38Z+HLwqx4NxABaCf39/TRzXXrzdvSRQ/NFB9Jt0NmLm85QiSlLaMeRAT2ptJBATJvPsjP45TJ+dx9esVibdcHEmLh6vidkNTIsdX4798C50xFZuS4NY3G+F7MAA6vKtKIZukDNeiPcTAc/Y1ZM6KKGllsqLdZZ3wamX/yJEJ5G4oXjo0E/MDEy9cHV0XnCNrawHlGJGKp2q7ihKxzCNHGLRXRXL5w/Q6Wrp+4Ss9kshYkJ1L67aiIUIXZv7OTwcAEjXENNyNTAc11uG2yjpNoXFL0ob96OWuJvZntGc8ioMjrd2FJLWQbVui+RelQruu7vcpPl8bsviXx+2pTjOVWPv31ljIPnJ/nsQztwfZ9PPXGGM5MVmQpgwLaeNJ+5fxudmdRCp5qHZj8Tzcbc9W3ZsryRAUk5S5Mxt3eTVFpEB7SHqlZrtYDcfBv6yIvoZ38gqiGFWSGMwS2SzQwFRAMDyp8aF227MN506SKcORm50kpBNiUkePEcdG+AvXfAsUPBDI8FCn3jJSnh76FkVWjFhf+Fm5lI4bImcNvdyNLTGvyYG+xLqYsyDPSOXfDyi7JfV68kM8L9fD86TlBcLJngoMwlnYbeDZF2X7iW2WmwLLnnhqgx63K5TqJfO+VasmHu5/Nxw+b/Mm6l4GnMUH4M8NBkdZWPe6/Ag29BHT08r56zdNOt/M73zjI05uB6PpZpsHuDzSfu3Uq7HT1apqF4eE9vXR2fbRncOpBh/8YsL1yqMOsuXIg9t4VtqZkhv/ej8zx9roDjisEfls+cGK/wD//sOL//c7tWRH7XIxLiayIa9m661SjL97aHAfAPPw//7+/B0KGohcxukwzw6CUozkTWVncvNQHRUFVYazh6SIL98d5czxPfqLNbPMX3/SP0b31UXMpSsXHJSUOEgX4tUlbpIInh+7G1BJuGxAfURlOaRqDqDGzdER1VKRFs6OoRMr5hBwyfk7Y3I4hp+kGm13WF/DxXEkPtHZLgqKk1E8nqd3RGFmhQC6g7OlHVCqRt0q+6h/Lm7bLbnM8nqyv8x8lv8znzLoaym3BRWGhuUQU+njlB27QDRw/Pi+MVHJdf//YrFKt+jTA9X3P4Uolf//YrfOntN9XIb6FRlj+zpwfTUNx9Qzd/dWR42X24S80M+cHpgoRm52xiKHBc+M3HT2FaxmVbg9cymlXO8kfAm4D+XC53FvhUPp//b804ditguQocS/ZuHn4eLpyB538khcqVSpRFdcqiOJK2xdrr6BQy3DCAGtiEeWoIf3YGho6ITt3MZFSsbBhCGCHBOeXAyjLRd70aXvixiII2Um1ZCoEVVUuGWFa9Sxu60CEB19roVFS/F4fnBbOCA2l5Kx1Nj0OL5esFSRVFoDJtiUbf9j1SX/jKUZk/4nrBLI6AED1fSDJto27cI2QF2P39qNFR0Vhs8PlkCzP868pfweCmOpFaAKzGk/Z+58lzNdKLw1SKYtXnd548x6cf2LGsUZa5u7Zy4MxYwyHmjVrYlpoZ4mpYoHoGBZycdjFY39Zgs7K6f78Zx2lFrEiBY5HeTdJp+Ks/E/euMCvWmmlF82zdqiQfQnKZ8eRhnhyHgU0YPRskZlf7KldR/V21GpBfYIl5LlQq+P/p3wkZjl4M/srNhV3e+qumzuoLiczzhIBqLrAZDfxRsXIQpcTy2rilNjO3hnBgeiyJUCN+142stpQVWXe2LVnbO39aLMTxkej+aR21BG7cAv2DkoVtNBZ0oc+nRsZyr+ehgQTZ0Jgzj/Rql6gUQ2Oyz3JGWX7m7UsPMa/b1zJwvdX15YY2/0LW4KeeOMPnH75pVce+lpC4uktgJeMqF9Lwqw3QPn82EN8MFYcrERGFQXXtgzbFGpwcl57f6KygPdBGVBKjQ0UUqJVleq5se/6UWFWhPh4Ll1QsiDCJ4AV1e2Gio1qJrLuQ8wxTXuvulf2mJqBnQ/19QIk7X61K4Xa5JBZuvHwnTs67b0UFxKmffUqIHB3NHjatoAXOhs6uqPSkAVnVRCHCgvGZqYh0U2kZ3B4OIIqjQUbX9ZawuoJWv+WMslzpEKF9g208e67Q8LjVyxAqMBScmVys9fD6QUsT32pEHpuOFYyrXFDDrzZAW0UxLKmfiJr9g97TOkvIrQYPOviTY5KtLReFLFI2+MVohGIYfwstNCsY1j0xOr8Gb1lo8ACFtYdxsg43DUtBaq4xwcQ0jb50QUhw9FIkQprtkGupVOpLYBSR21yJ7qXWWmKiHd1ybelMVGgdruf8GTRKrEwN/mNflzrHe++X91NpiY2WCkJ6NUvZF6sxNig9JLWFJu1ZprGoGooVkNKSoyxdn08/9jLnJgvLHiL0wbs3MjR2islyvSVZ9TU9GZNeW3Fqyp1n1S0H60XgpWV7XJYr3X7F17HUQPH4+wtp+IVSVG3t0UNtpajLpEIUs9O+vB//IwzHPG7dIV0LA5uiYTzRaqNjeX5UgNy0oUg66qiY91ZQMlOtCskTkPjUJAy9JEQTStqnbYnNWakoY2wGvcaGJa+Hk9ymJuT4o8NybCvIdIcDj8JrdcpSyjP0kli4PX21v5fiY38ify/KkPioU45IDwL5q+A6YpqJi0mQ7d5g4y3Qqudpze4NYiWmlmgjczzNpcL8IULx4uW5aEubfPahHfzU1nYsU6HRWKbip7a289mHdvBv3rwD25pPYuHvi61oNWR5LaJlLb6VuJhXEitRYm40LEhrX4gvFB0I3c6wp1aB9IgGBJUKrMtw2pnno4cO444My2sDg9KGdeFsRBzzuid0JDKqkJjhouopK8BS1mM47KgYDPC20rK+mSkhGLtNYnehBl+oJWilobMr6jYJryPMRI+NSMIHxDpTwX5hoiU8VijCEGtV88eGxXPQnmSHL5yt7yLRWo6daQM7LZ/Xlu2LSpB94t6tdVndEJ7WZFMGn7h3K7C0W5oyRJG5Wp1/XxcbItSWNvnQaxeqWTP5/Z/bVavjC8PCO3rTeK7H6enGRoOvZZv1gJYlvpW4mFcUDQaO1wZ6j41A30DNpVJ796NiGn7aKUmtnWHKQw3ygM5OQ9kPlIddwqHYpFISH+vskgd7fESIoKsbc/M23JGLcOwlyWrWqR0HqMX9dH2c7CpZxzWEYqPoaLZGKBuvkYHi1Wpw7UHSpDob1A4i98tO18hNO46QZt+GSKw1VG6uViOyy2QkCeK7cPwlUV4ul3CsFPqlg1H8MdMmVl+sJZBsu3Rr7L5NrMMdu+HUEP6xQw1DLNmU4j/tKfLvD5cZcrO4GFiG4pbBDj7xhqiObym31DYW9y1XO0SoM5NqmKSYKVf5h392vFbjF8LXYFvwmfu3rep81xpalvguZ9hPMzHXiqvJwxdmpBVsYGNdllfd/3Ct5ss/fABdDbKzly6Km9a7Qay96Sl58NOiJEz/JnkQCzNSpOsH5LVpK+y6BXXudCQT5ftSzoGKBgzVip3nPEjhRLarjdAy9DyJuYUT0oqzkZtpmbFh4UE/sAIqQWzTbpPruvUOaG+X65+diekbBtnjcE7I4BZxjYtVESkIBF39UK5rw4C4w25V4qVz/75MUz7fMyfRVXfBLD5IPWDb+Cj/d3ZONwcDqNQNtddCt7RWx+f5pEyDOzZn+eDdG/ntH5xf9ONp9hChzkxqQWswqeNrAax22E/T1zFXifncKQm6b7qh5k7pkYui5Dt0GH3mFdSr/54QZmC16g0D8tBMBmKTSkF3jzycW3dId8WF05EFZGckMWEFs2sP/QTfzkSDdqYnhRzi6imhCOlc+Au8fjVRrQjZjF6Sn7Ue5Fh2OpgwJwonwcO3YQC27EANn0dv3y1afB1dQpClkhB6Ki2JkvZOic+5gXJ1sRCILRgoQ6Hj98e0YGYmkgwDqQnsG5DMeyq9aIgFWFEYZjG3dP/GNp65UGoYd7tSQ4QWsgbXE1qW+Bq5mCEWyrRdKcSVmP3Hvl6rS6uVqYRqKJYF45dq1oEuF8UdPnFM6s48H5SWQH6xIP919UjJScWJMpy6JHJOpiUkVyzgpVLi7qUzEUEqYj20qt6yCy2iuJsbCg0sNhej6QjrXRDLzimDG2RlCTpWlBHcn5gEVu8GyLajMoGW3uAmqUecGBHyC1v8PE/u6ZZtUtytCVzZUi1WqP1As7AwIxZmJZDqR0tYwfNFK7GzB4bPw/adDa8kLm3VrDDMO27p4/TMGGcnCosWL6+05CXB4mhZ4muUKIDFM21XA3UueFimEndHPE+++ccuwfHDYpkEIxijjK0llkqxIA9zJiukFy9xCVvQ/FI0WLtSAW9K/h3WzIW1ecqoJzlfB+/FrL1QVaWRBNOVRFi/p7UQXtWJVKPLpahTI6wR1DoIJQQFzOkU/NW3hKwqgbsblPnURFMhKt4ul2R/FWSM2zujQekDG+W+l0tyrpkp2L4Ltm5H3XgzOp1eMsQi1TvNCcOkLYNPve0Wvvbk0QWLlyuuz+efPM9ITbp+6ZKXBIujdYlvlcN+rvi64i745Hg96UGksTczWZNHr8sgqiDzWCqJuxt2HcT7btFB9jdGTCEphiUh4QBxmCn2KbQAACAASURBVJ/MCLfXwbHmkt1Ki7UM8/ITJErJvWjLgpUN3M0gzhlOVwuJOWi5w3XRe/bBqeNw8SxsGJTXDSOax2FZcv9OHZf7WS5FxdWhCVx15Jqt2LjKrm5JZDgOat9dtfa2BTUUQ6Rt+SiaGIZJWwbv2dffMHsL8K2Xxxldhl5fguWjZYkP6l3MlkHcBQ/HNYYI40Qg7U/t7fLQxWvGIEhCBEmP6Skw/cAaDDOhbqwbQ0clKzUR0QBh/G4x+fc4VmvgGSpQXFnFAULLyLYlFocWq61SjcZMhhng+EJ1UJv37FPQ0SGEP3xOvgCVioaht2WFyKanxYo2TPkyyrTV3GFdLoIyKHf08NWu13AovZGqlSY1Y7DPnOFXXxkiG/6NLTPEEm5T8eHb1QFedDtxMLB9j9s3t/Ozrt80K+zgcGlR6fqFSl4SLIyWJr5WRN1MDTNmCYUzNULZqLCdasOAzL1wSlGfbVsHlANX1QhidaYVDLWOlaio2v8EC5JbA1Kau+3lxPUWUQ9eFCEpG2ZkZXpBDaNbBc8AF+rWHm+DC2OcYUG0Ww3cfjdyVUuzwCYReDANOXapKCQbdnZoTVkZfHL7e5k0MqQMwLBwgWe9boam2vlsxaMtbS4/xHLhLM7oCL+rb2HUT2MrKe6upDL80Olk6KnzTXNBHdcLxA08Tk5WcGLGt23Cjd3ro/aumUiIb4WIu+C6OCNZQDstll7YIA/y8PYEfbaVajRkRyPurVuVQHrYCWGaQgR+UMsWVzlRRpDUqERyT7LRfDe0FntSSxcbLxd6TqxwKYTWrTKiWGT4Wiim0NEVdKdocRvjMcdQ3sowgnimkp7fS+cDEo51vFSrkkBK2/Jls/u2qBe3pw/KJZSCr255iCkzQ8o0QJm1q0kBk1h85blhPvTaLYuGWKq79/HtlyaCBMPtTKgCFbfKoBKhBtXeDtkstlraBS04Lr/z5DmGxhw8fRRT0VDLD6TAuVipcnSsMs/mdjw4Ol5hplxdN6UozUBCfKtA6ILrvfulfa6BdcDWHfIwpqxYKYsOGvKRnlOFPFieLy6x1pH7aqYCVeWAOLxA+LP2yAbu4dwi5pAsw/7ZpiUwlnmc0A0Ny0fCa0ilorWm0pJwKJdiytCBdVgbOB7E5HwvkrfyNWVt8NXd7+BQ701UjRQpr8q+6ZP8yonvkDl3Wo6ZaQusbelySc9Mcah6EylrPjFoNKmUzaFLpegSGoRYKq7PF+IJBkMxjYVnmpw1s9zQlcaIVQQv5oLO0/IzFtbyAyl5+eMXCgt+Apr1o6rSLCSpoMtA3US1uVO2fuFXoLdPRkmapsSiyiWJWzmONOhv2wkDmwPy8wK15m6xVNo75ME3LSGH2jzcOW7h3ERFSB7Ub1qzolaKWmxS1ccpF7wpsZhj2I7mVqVbZWpCrN+efnH9q9WYxH1A5J4nVrBpCvmHiYJyibKy+OTd/4Rn+m+jaqZAQdVK8cyGW/mXr/pHlKvBUPbJcfmiuHQRThzD6OqhmrbRaHxgGpMxUoySYpw0076iUl08edMowSCRC0XV8xkrzpeOX6jrYjlafnG845Y+KosY76ZaP6oqzUJi8V0mFkvAeJu2SYtZ4YLMxnCcaNyjUnDmFNjBUPHwYc9kYHIiqmkLxQnmBv8hIlvXjVzI8O2wjzV8LZR9WgnCWkAjGIi+VJwwTnphQbLcpEhN2Q3n51YjUqtUJdkD8tMwpMQnZUVWYmmWr970CFPpTlLUE0pKe0ykOvjqzp/hn5z+LpSDkqC+fihMo6sVUh0dVMouk64OCoBUcKsUFQ8mfZ9SEOdrhEYJhnC8sKEUharPwJx9Fuq6WK6WX3QcQ9T+mfNdRhQiXi+qKs1CYvFdSZweEssmbE0Ls45eNSikLUsHQVubWHhaSwlMSIKpdKBYEi+HiT0woWy9aUS1galU0Lhv1O+3muSGhpoc/HL2N61oVkbYRqYJrLrgGE4ZLp0TuazZabEG06lYKU+w1tkZycpCkP3VHOq5CauhpqAmhc+hnp0idqCU7Ds1ARu3YGwYYN/GdqY9hS/aw0BkAevgla88N7zgpTkNrLf2tFlbzdyIguNq9m9s3HXhLpEschuwmGmIZWfF/jNVZMOvF1WVZiEhviuJ82eCGr1AOaT2xxlYX2Gha7ksxNfeAT29Mouip08spHDcomEIsYQxv/g8WtOK4mbhDNxQ9+5yMDd+CIFV1+jPJojt2RlROmnvFBK2Q7KPz/MlIPmikL+dEfK3AgIMu1L8YIZIRerwquZiwXtNVVlCom1ZKRXq6JakQ7XKB+/eOM9igoj0ujJGXZxvLuwG1tuGrEXKUFImHiOehSTjQ1jm4o+d1YDFtvWkF7TqfC3vJ1g+EuK7kpidDsQDgr/YMIsJ1NxYtyJZ3ksXxUKZHBeRgrCEQ+tI3UQRuJ0qMlg8X4jG96R2sFyqd3FXgnj7W50rNsfBUsE2phkRsQLwoVCQmrqwDtH3gzIUHRF1PNurDKnrq1YjKzVMhnh+ZBVqj5RXYT51RUj5bjTr11CRnLxt05Y26bYNbDP6/lFIOUhvm4GhDKqLWGL7N7ZRcevPbSjFDd1p2lMGXbZ8zmnT4PXbOxYtZVmull8cn7l/2zyNPU00kfOuTVkOXCgsKo6aIEIS47uS6OiGkYtR3CuVDqy40PbQ4JlRV0GhLK6gGRTghlnesLjZ8wgK3yJoV8gGVl+gXEOM1BZ0bcPOjyBzHCfYcjCA3AMmnMjVjccWa0KpsWTG3BGXKjbEKPziMAz2TbzCs/23YTGf1KuY3Dl1LJLBagvKh5wKqV17KQN2ysRcJEGTWsQSe8ctfRwbK88bCFT14Ob+thXV7C1Xyy+OuaoqbnBLe2zF/Tu7sEyTAxcKnJ12eHhPL2bi+y6KhPiuJLZsE4ulVBALLgzah03yypTYX3unkE2lEgmIlsti9SijQXJjDsLCXsMIWndjNXErgQ46SMxG4qbhNjGSmmdVrqRoOtjW96gNQw+l9z0vOnYoze/Brwz9b4a6tjExJ8FRxaS3OsOvHP8WpAJrMdsuReUdXaRvvxsmJpYUBb1jc3bB1aYtY0UDgRZDu23xpbffVKvj87XM3r1lQ6ZhHV+IUFXlwIUCz18ozEu22JZitOBycLjInZvbl72etcZaCDAkxHcFoW7cgy7Miit64pgQnmWKGGaxILGtDYOiBvLEY8GUNB0r1dNLk14I7UdjGi+nr9b3Lm//VZ83JElVf/7wfmhNBo9/99yX+Orun5U6PmWR8l3unHyZXzn+LTJpS+5pT58QaVcnvPEhVNA/vZQo6Afv3li3pJlytWZhLTR/tlTx+K/PXpw3M/eDd29cMEMMQn6ffmAHAP39/YyOji647VwcHy8v2sJ2fLx8zRDfWgkwNGuu7tuALwIm8JV8Pv/ZZhz3Wket/Qng1W+MOgqcsmQtUykJ7j/7ZFDeka53/ZYrxBDG0zq6hFwLM1foiq4Qwtieoea3x4UEFdyTDB7/ZOibURKkloBRkG6Hzdth916oVKTF7NY7aodaShQ0TlRzlYobzZ+1DGPJmbmLkd9q4bj+ohKLjrt41riVsFYCDJdNfLlczgS+BDwEnAWeyeVy/zufzx++3GNf65jX/tS/Eb15m9T0mVb0UBdmguB/0OUQNu9DIBCwhMUXxgxLYazvGgtwaz/oUY652CEZ1uoCw+4OouLouCttBYIFlTKcPgEP/Azq1jvmqfgsPqsiwqeeODNPnh3q58/u7M00mJmrSXkuk5NFvvInP+DXu0dWPBnQ8zUHh4scHy/juD62ZbCrL8P+jVlMQ2FbBpVFEjH2NSRRtVYCDM2w+F4NDOXz+VcAcrncHwM/B7Qk8S02svJKYG6Bs3/4ALpQEDGDkYtRobFhyqwIbYhPlcpIMsStzk8QzL+qIDvqsKrujDVHLM8aWnK+Fwi3qvq4okbiomHsL2zN6+6V/yyr1g1yOdJlZyYrC9bGhfNni1U9j/Qol9G+h4XiOa+bP5mtUn5+hMyxH7Lrp+/gVZs6Fk08eL7mu0cnGKu5flDx/LrExa6+TMMYH0gpza0Dc6fvtS5CAYaFsNqZI0uhGcS3FTgT+/0s8JomHLfpqI2sHB9tOE9Bv/f9V34RoRx9/6Do0ZVKseynIeUYoaafW41cOSstpS8LwbIkY2xa87X5Wh4BsYXxvDDRsSDZq+ieeG50v4oFSWpMjsMT30HfNt/iWy5Czl0Ivm4wM7fqitozihIGPlDBxLDAKZY4cOgk52a2Lpp1PXBhlqdOTzNe9HB9H8swGOywuLm/rZa42L8xy9lph9E5GWbH1fS3W+zfOD9JU6p4kYu/gljklYZtmYtar82eORKiGcTX6BOc52vlcrlHgUcB8vk8/f1XXzjRef4ZKk4R1dtb/0Y2iy7P4r30PP233/3/t/emUZJc13ng9yIiI7faK2vtDdXoRm9odAMkIYigRAJcDFAgKVNSaBlrJHMoziJLtmVrJA7HJmkd63AOx7Rpiefo0DR9RhJpMcxFGFJsEuSIIk1QAEmA3Wj0gl7Ra3XXvuUS65sf972MyD2zMrsrCxXfOX2qqzIz8mVkxs377v3u93Xs+bjnwX75RTgXz1JdL56AO3cL6tgkmKKAHzwCb2YaTm4VvvTeVRSq9QEommszIbhZK/BJ9RMX9Fgpzrne7u5GQarAeEK/0KuyflWjsb61VRJ2YIy0AlcWhZGRDS0zClh59ExfRfzIG6BpWsufN01l8OucO4UxJPUY7NB2mxdcMEWB5TNwMGjgiEn/kFgMemENWT+GqwUNb9gZfAbl+mzXx18cu4JVy4OqMKiKCg7g5pqLZTuHN+/JYLqg4G2jI/j1TAYvXl/C2dtrsDwfcVXB/rEePLR9oCKo5m0Pv2eewGLeRkxVoGo0cfLidA7/59/ewJ8ZR2oGv/Wcu1bwyFQef3dxripB3HI8PDKVqfv8611fJwLfdQBhT7rtAG6W38k0zU8D+LT4lbfSxeoU/JdeIIqDm6t6Ozt3CoXxnR15rvLsEgCQz4NP3yAZpam9JGHVNwj+0E8D331GyM+L7E+SlnuF8VCt7ZHUu2OCsOt5FCA7JUl1t1GUpwqtnymB4gwQWEMCQQPI57TVX5iDq2pA/yCWX3oByraplrumALC9P4bLC9W3uz4Hdg7FMDWol9BjuO+DAXChwAMwxiw4Tmh6xrbBnAJevDyDqVSwhZPr+9KpOSznbaiMwfeCoMtAzZbjV+dxYCRVfC1TKWBqKjwW52FxYb5ivX/y3E3MZy2aMgllVyqA2bUC/ucvvIC+eKyESvLEngF848ISXllwsZov3DGKyeM74jh+jWE2a1f1HHl8R7zue1f+3k5ONq7fAp0JfD8CsNcwjCkANwD8CoBf68BxO46GlpVWe5aVJfXDG1doAmN4BDwzFjzv8Ahw6wY5jo2Mk53hlYuio+tSbct1iOcX04HeDHEBLYvUSryyMTQ5HWEJ6XrP2hg6SkfAEES38P85wBkFP0UVZksKUDG3K7q8C/PArnvrel/Uq/UyRcVHH9vR0H9WU5QSegwT9UgXDAn4eEhdKX1SlS63Wl3Xk7fz0BRWNUlXGcPMmoujE60HnVMz+arcRQ6OvOPjyqKNfSNqkUry7JVVfPXsAoaSGnpTiTtKMekkP7IVtB34TNN0DcP4JwC+CfoS+axpmqfaXtkdQEPLyvj6LSsrMryVRbp2Z24BqyvgU3vpwsiMkXTS/CwwMh4YZHNOjl9SbYUxmmVdWiAR0kJeZHTl87eh7aCqdK6+V3Rp84NO6h1H6DlKYqDs7oIyWlnLrFplYSTmmhmr6X1Rr9Zr37iOr038FF6+nUd/DLjlljbVezTgPz51T5HHV0KP0VTEHAvbmY2j6hrC1yx3XbBR0m8Jd109n+NHVxfx4uV5XFsqwPU5fA7oGgMre32O7+PeofqNi2pk4OWCg1RMrThezvHh8cqzuGp7yDk+YoqH3lC5kPkOfnitgF/6wjkANO861qPi/3rHLvQn1z8r3Mhz5E6gIzw+0zS/DuDrnTjWHUUVPwXOfQo+87NwJ7aTfWSL9AMA4GdPgi/MA3qMfHZnbwVS8zlBYh6dAGMMfGovGVvHdBIotUWWtpoDnBBxjHMAHgU08GAOtRaKmVAHMj4OCrQKK1N9vhtgpYGW+zTlAojan/hbPFHqTyJnmRWVygZ7q19J8r0q98V1YnH8+5kBzK7OYAUxzOeLqwEDBSMPHP/m727gY2+/B0ldLaHHUEA9hhOzFk6wYcjIzV0XLJkGMqPFrqvnc7x0K4uvnVtE3mNQuQePk0BBzvXhOjS+JoOVzzkSmlK1cSFRiwxsu4DreehLlAY/x+MlDqUSWZtG6bJOkJnato3zS8HnSn4vTa95eN9fX8Jnf353W8HvbmPzEH46ALb/MNhQhhSSIYLe5fPk4KXHoY5NFr/5+XeOgbeyZbxyAdA1Ot7MrSBb8Tlla5fPkw8vAMYY2LadYP/gHwopJx0Ao+2s3OrKsTbXFuNtSpUtLCtunwiCC9gJcL/odNYRFO0wm0D5/cKS9JrI9KQFJxdUnpguJKkUIBarb0EqOuvl+JozgjmWgGvZWC74JeacHIDrUXSdzbpVJaykMO39h+/FkObD4rQ1Z6MTwNQe2B6QSWs4OJLE188t4pmLS1izPMRUBR4nmamc4yOlKdAEGRrg5DGvKnh8d19dKkwtMnBaZ3B9Onb5aeUAUrHS+8umTvi75/JS9c8VA+D6wB88c6XmuroRW2pkrYJQfOMKZQbj24HMGJj4ULF4nMyEzp4kDl4T4LYVbFuly1duLSDi2hZNboyMF926+NmTwnEsH9qC89KeuBxbU2s0zzdDE0NOZahxIawaCqbxpBiTE69D12meeXmxLNCLAOc6Idc5CBqPF4gTKAw4/AZSxq6Rsdeq9b7s9iLOOFZ8BS4qt4A+DzKdahJWtM1cxMnbwyik+2H7QF9cxb1DCaQ0FQdHiYR88nYOCzkXa5ZfEshG0jFcW7ZR8HwkNRWM0d9kof/d+4frnuZaZOCJnhgKjg3b5UiXKXtpjG4PQ2EMnPOS7596X38MwO21zVVX3lKBDyglFPvHvgiMTlS/XzxOwbFO4AsXyHHhDDA/Q3WlVJr+2cLEmgmppaUF8L7BYjbCv/kV0ey4LrZzrPZgf63aXTvuaXcDjJHjmSQkx2IU2OAH0vMFIbIQj9P0BRgFQEfI7StKYCbkSVl6IaYgFVx8cf76BoHRUXpfapQratV6LSgkA8iqNxh46D/lElbl20xFUZBQgFXLx40Vu6QhIGdtPRlJBRSFYUe/joW8CwYGl/tQhWD+5cUC/tf/92Jd/l2YDMw5R9b2kXd9cM7RqzPkXA5NYXB8GtXbNaiDexyqWnqctK5gueCivwV+3yYiTQHYgoEvjIZd3kZdwXAzY2CIurVymzowRP9yWSCXI6FNgPw4xAXp2xZNcHhuUKvqVjAGKJqYLmniY84Yqc7ocTofUmILXGx7AezcDew/DDz/PeLluTb5DGsaBTIp0OB7FKh8Huj/6XHKFgtrgCVqn4kk8LqfBvP8gJT+5nfAOvEj+C+9UOzeclFWKK/xxeHD8hmUmAbmVF7MLPQfTWH40qm5YhNhMe/C9jhGy7KnajOnctZWVViFLp+iMEFCTgPgeO7qWtOzwJIMzDnHQt6F43EoQrSWKSp64sBT+weLBGrb9fGJH9yskNrq1VU4no/eePXAV6OltKmwpWp85WCNHO/r3F5RIJddRA4KfrksXaDxJMlTPfgI2MGjUA4eLWYhTI8Tl0/VsG4zIDrSOh/XylMoJPnUTMNHUYHeflKTtq3AWAggSg5jQCJNlpwXztAEi3Rck8ZKciQNoIxP08U+0w+mU+wCGRf19gF9A/S8Vy7RNi0eB5+fAf/CZ2Effx5w7GL3FqvLwOxt8EKhZNn38yXYWgzJVBwaqwx8RfM6UL3vB1fXYHs0vbFiecg6Pq4v2xXEZzlzGvxOl91QUqsqHKoyBsvleGUuX2UWGIgpDEsFr6LOKMVSs7YfCnoEj3OM98SK0x9AQCV5484e6CJ71lUFj+7qxaee2o1Hd/UhLv4uy4BlA3rFfwMJtm4RVNv18aVTc/jI317DB595FR/522v40qk52HdQbGFLZ3zVurwSsg5XE2UF8mK39uolutgLebr4R0coKIa6jHKLzGduki+vzCwV4QfRrBRVsNoGtwsOnNwWl3vxNgPfAwpNPkYRdc10P43kya5rPEF/twokqHDlotgCh16v3O4z6Ysh1i9rfEz8X3rqFvIoSuGrKukeiloqVpeA+VmwsXHKukFbQKwu0b/cGrimkmDs5A489cA4LswPYzbnYiChYC4fNDgYaJoD4IgpCvp0pdJxDSRxNZ9zMVJWTAvPnMpZ29GeGFYsyhQlPJ+jP6khk9bw3DW3Kv8OoOBXXmeUYqnn5vIVQS8VU3BfJglNKZWtqkcl+YVDmSJBeDlv431/fQnVYpEC4JFtPTh2frFlEdSNkqXa2hlfWZdXgltWza4g9z0SGjh9HPyVk+DnT9O/c6eAhVm6iPU4MDQCtvcg2Mh4IJG0/3CwRT71EzLJTqYogymXiy9e5Ot9caz0/xxBo+VO1wUVoaCcXRE1OjWQoGcIvERWlsTfmFBiEbSdokILKJhpGtUJkyn63XHoxrBznO/TVldT4S0t4oTbgy/b4/ivvUfwhbVBnHB7yMRHdt0VBigA270P6B8EiycRP3gYv/foNrxxZy+29Scw2aMioQKaAiQ0hlRMwaM7e7GzX0eyTCxUXusKgKxd+QURnjk9PJbCcFqD43HsGU5i20ACqrCp5JwjGVOwlHexbDm0da3xxVZeZ5QZ3LY+HSpjNADEGLb36XhkR2/Ry2M9slX9SR2f/fndGEqUdYw14N37+tGX0kuyyWbRjCzVncCWzvgqurwc5Iu752BVHp/v2uBf+Cx1gxdm6Y/S0EcXdb7+ASIoz90CPy8ePzwKfuAI5S1lW2Q+tZe4fLO3QuZCTKQZ6voJyXLsTY9TQLDywUgc3NKtZKfhi870zHRAO5EWlTE92PZ6XiCu4ItNkwx+MZ0yQyBwi4vFKKD6HuCIY+bz9DOZAlI98MDwjcQezLt90JEDUxTYUHHc7cO1nIMn8nmoMgh5FKDCXXz94NGGZNoPPvNqxXdSOqZgxfKgMFahIma5HK+bDEbLVIXhyb2DRempdDqBkThlirrKkIzR61WgwPY4XJ+CYTkBuZpUvq4pODrRgzXLwbNXVzGfdzGbdXBmNo+hpIpHd/aiJ17PtKk2+pM6ntqfwZrl4gfXVrGQc2F5wNfPL2MopeGNO3pbFkHdzLJUmxrhLm9PJoNCaO6vZKzJKgCnTwC5VaonJZJEuXBsUXBXAnUQxy4GQjYyTsc6cwL89k1wK1e2teZkQpRM0VawILYv5VlZ+Eorby4U5atKeDBiCsQBLEZBtGgKxEME6XWdteA5ysfMGAMYD/iH8svDdQTxmIc4eD5Rfryw4rIXPEVc8Bur1TAZoy6wlLASr+uUPo55LY04E3lSggJOnHHMWRynUpN4wL5Fxwh1M5vp4ktUUxQZTsWQdzkcr5SiUstxTVUYjk6kcXQijUwmg2+fvIKcXSo1NZLWML1qwwfDquWV+DWpCvDGHb1V17e9T8O/+/4sXNHolm/1XNbD37yyhH/xpupMBonw9IfHbkLlXnFOd7Xg4tj5RTh+8K74HJjNuvj6uUU8ed9g3WOXYzPLUm0KNJrNrHr/cNd2fobGx7hPPwcGSVCUMaJYeG7gcAZQcFxaoFoTQlnF8kIphWZuhnh/epwyod4+IJmmOpWkXChKYDjEWKVtZEXQE/A9Wq/vkVYd96m21vb4WXi0jAXr4uJ3RXwRyCAnH8MRTLPID7Q0Tq9wclNoe8tDV7stPIeTPUK2f4Qet7RA2WwuiwupIeiJOLjrBg0Pgbjv4oI+TIHP9YChkWByZ3kBcF2a/m0wuXN4LIm/v7pWEqQUhbaUM1mHalKctzRzWk1O/nWTaTxz0cWqRedQUjl9DsAH1iwXtutXHPvYuaWi+5p8t2QS7vnAf/z7abx3xam6rvKaWyymwnaDmturC/mSoBd6x+D4wHPXV/GbZRL+9bCZZam6Ho10+FCF7FrRtV1aoEyGCc28nDAPkh3IvJivTaWAnowIiKXfViweB19bKQ18ywt0cepx2trZgvcXT5CUvAyucuurVAl89QKZbLtJ39tOQ8q+S99fuW1VEdT2ij0KFvgEVywydB+IINfbR42hnj7Krm/fpKB3zx5Src4LsrikDRXysPQkWE8f2MAwMJwBXr0E7gZfILavUdBLJun2y+eD46haw88FUMdxzW/dcU0iZ3s4N5/HTNYNdPjSGrb1arho25DOlowB6RjDRE8MCwVeVZr9woIFXchqeb4wtEPwNuQc1GweNKq5zWS9mqVnBmAp11ppptqXiER5iaCT2BqBr8ZsZt0JjfKxJs8LshhFoYAklZNl/UrVgOUlCoqCdsFnbwGZUaKtAEBPP7hlB8d2XTpWPk9BIRZD0WlMV4B0Ohgbk53MViA5GGsrRCGRNbaOcAZDmZoiSMWuQ9tcX26tWXA3DgCyY1sD8vwyAG98KwAO5jjAtl3g/UPACCndcM4DDxPPow769ikkfurNcEJxlE/tgbq6DPf2NBBPQs8tA6PjxJ8MT9q4HnXg0eBzgc4ritiujx9eX8Wq7UNTSJzA8zmuLdvIOjRjqyisolOsAlVrYK6g2KiMZouL5yL0c6XggHO/InA2qrl5AGI1qiQy6W8Ftb5EGpmyt4stEfhqzWYCtWs7FeRm6XWbWxNjVx5NF9h2sKfwPZq3lSbgybhQZ1kW6iwKMLkDLJ4EX5il5y7kheeGmEiI6ZQxeR51RVO9QEzMzeZzLTY7QttQzwWsHGVQ87Mk4tludze8l/LcEA0lVFzyPeIySlUVYC7uOQAAIABJREFUzuo/L2MU/NO9UN/5SyU3+ce+WNz+M8aojCBKCQCAmI49mVSJLDtjDNr4JOy+AViOh4O3XwayDhhTwJcXRLD2qMaaCbZojWp+nVQUMX9yA54f9HAkNIXB84Gc42EkXf3zW60GpqlKkVPn1YhEK5aHvMvx0nS2JPA1qrkpoDE3H8H2mUE0yRk9dyvYtLJUmwHrmdCoGGsaGKKgZluik8gCg3BXdCcZC4JhX5JqVAx0/7kZGlcTHeNiJzmfo+Ckx+l4ErEYPR8DMLYduH2dBElbhmSeCskqxmhi4tZ16j5XnU9o5ntbbm9VMVXhB6UAuX7Z9FHUoJbn1wnc8j1yXaCQq1TKaYJ3WU+WfaRHx+EjbwE79zKde1fIWwmuZcVnpM7kTifx4vVl9CdVeHkOx+dicI4ga2dpvXoAqFYD2zMcx+mZfJHSUg4KVESfublSOrrXqOaWjjHYPieF6LLbPM6xZ7h1abeNkKXaEjy+dU1o7NoDboU+FJkx6tj29AtumQ6AUzYzOEQZg6zVJRK09ZKfX00lIq3g8jFFhXLwKJQnf5F8dXv7hepICHLgfm2VJhRWV9a5PRXdU09kqTPT1KjJZWvfv+njhv4BwU8tFoycJRLBzG1xf1TjS0geS/AZ+enj4E9/Dv6n/hjeyy8C9x1syLuUVJGjE2noqkLfKaqCoxNpPLl3EJqmFc89O/z6Itey6hdjo89Nh5AX3h1DSQ09MbWkT5TWFShA1fVZLsfhscoa2O8/ug2pmFIxDichJ9EUxpAvSwnl9Ec1WC7Hz+0frHpsSZL+/Ue3NX7BXYAtkfGtZ0Kj6Ikrt6QAaeotCmlvPUYZ3eQO2m6dC2mvKgqRk2X9SVWB/qHqiiGMlRTnYRcog5TZmaKEusVNZmNFqgoHfbfxgEvn+ySS2mjLLMnO9aZI/HAwC/3NRZC9WQUUR9Q8R8jGN7F+16UAPTBMwf+/P0PNjTe/A+zcacrYbAvQ4xW8yzBVBKhj2N3O5E4HkdQUrLkU3HriKnpCM7Kcc9xYsWG5vOkaWDqu4VNP7cbHn72Bn0wH0x0MFPTkVIcPoCdWmvs0qrn9wsEM3r1vCB9/9gYuzFtwfRI+2DecwO8/ug3p+OYIKZtjlW2iahBD/QmNMLmZv3oeOPcybWF3TgH8HhISBeiiHBmn4OZ5xSI5q1J/qkqPyIzS2JpUc9FigNSbA+i4a3JLug4aiqoEQVNOQRTCo041gqmqBKTieghnoUwR9BmhwqJqohnDS6l/dY8pSgiKmNDIrQHpHiC/Ru/fudNQQnad7WA9n4s7gYe29+PbZ29XbSrYHvDUPhoDa6UGlo5r+Mjju/Cvv30FlxYtsYUO4IPG3solqcprbr7ImMPPp2sKPvL4rg6egbuPrRH4yic0amQK1R7HDh6FD4Bns8XMgHNOAS+fK9bv0D9EdbN0X0mRHGiQPbz+TcA3vkLZoZSwcp2gWeDYYuvXTLbHaFvNxMiYlLGXkJ4ejbacgDD4bmZrLY6hhud/RfdZbnc12fl2gkmNqtsw0dhgLDBbKuQp8HleseHA9x9uiZMZRjmfEzEd6OkD5x51j5v4XDRC1nKDjMjzoakK9gzHa2ZExoPbcPzafM0s6+cPDIs6WOtrOTKRxprtY9X2kLV9+JzEC/p0Bb26iiNVpizCNbf1GDVtBmyJwAcA5cbeLaGWIIGkUywtAAceIJ25mF5Sj2mUPSgHjsCfvgZ8/9uCpOxTZimtFhlCW9c6kLOu/cPUQFhaqIyVvl+q2BwWLihHedCruQZJXvbLbufBdtrzggZIPEHbXc8LPYdYqMKChkgsRsezLOLUeS5RTBJp8LkZIJ4ASySa4mQGL6kKn9N1gvfoidqPbRZZy8Vvf+0Scg7JtzNG1JTTM3n89tcu4VNP7a4Ifneysym3rizLMJK+e3SRbseWCXztoFpXuIROwTmUdxqlwqQNssqS+1oFClypNAWEtVWAi22jrHI3CnycAzGNnjfdQ5mVpJmEt5dhUnXLdBbJyasyuVGXRM1pYkRVaZoCCGTtfT9QaNZi1BVXxfYrnxPKyqJp5IspjZMvAJPbA4oQGnPvgHXyOVvEx5+9UQx6YaiMIef4+PizN6puE+9EZ9PzOU7P5jE1GEfW8jCbd6Er1ER53c70HaWLdDuiwNcEGrqzie5fraxSKroE26sYsLhA2WEiQebi6V7K9KxlclVzbDIz4BwVU+/VwEH3tQsU9DSdgiBTUOrD0WSdMBxsFSUgH1cMXbRQd/Q8CmbymFoMxa6zplPQS6aFfp8bKLeoKp0z3xeEbJ+sO3v7hUVnQGbmVy/Cv3Kh+tZ3HXzOVnFh3qoIehIqY7gwf3coMp7P8fVzi5gXUxgHhUmR5XJk0lrL8lGvNUSBrxm00f2rtr3i09dpWwaAex5lQ46NktnWonxUowaDyMIkV05RqUMcTxBJuRPQYhSU66FZ0QPHprVpidKutesCSoqECTxXCLmCSOOxGAX/WAzwxEibYwHLC+CZMTF2lqNaoniO8NZXoh3F7WYhpyZq3r5Osc5WIX09qo2eSfmoVlRUXmuIAl8TaKf7V3V7tTRP0xprK2J7F6csLZ+jpgAD8QOVkLNaRWARVHlpoi3vk0yK6RGRRXkeymeG67/YKs+jxRoHhaYyP0ZiCbk8idwVyc7i3Nh5YNkj34xEMiBsMwakBSF8YTbIgj2PMr1w0BOKK+HtK0ap2dRs5l7Nm1aqkzTaGoanJqrefpeyrGqiBxJxjTUtH5W3PfzJczfJN9j163p+bCa0FfgMw/glAB8BcADAw6Zp/rgTi+o2rLcrDKD69mp1JaCUeC6AOABGJGiepeBnWbT1Kwp4hiYvisRhBiImAMWsMJ+jgOB7lFmBA02P94aGLTmoEZLuCXTx6j60XsYnMjtw4uUVbgRqM4CYXBHqzJnRIHu1ChQowxmUlAPzPRq9W5yngKWmqRM9NBI8q9y+4m30hyYy93YVgcNTE+XwOMe+4fqG4J2C9PWod3sj5G0Pv2eewHzWasrzYzOh3crmywDeC+B7HVhLVyM8baG853+gnyH/jFrgZZkS5z5legXhQ+E4IgsRU4+ptFAS1uhnqkeonnjBVlgqmMiOLyDknkJrkbO9ThMjYkAQmGSXVs4mj29vUtWFlejblfwdoAw0Jmp6cZ0kpTKjQlVZkKXlejxPSE6JyZXiyQN9IbjiCyAhZoCza1TzSybpmGGEzn8zitvtKgLXmpq425MN8QaZaaPbAeAzL97GYt5u2vNjM6GtjM80zTMAYBhGZ1azgeC+V+HG1Sw3rB7C26uigXnRUU3QOBybsrlEkoLbwCBleAx0QcuZWC4/rByAL5oeYssrNfBcUSuUjwFIALTqiy7b0srAk0gCvYM0nbKySL/ns/W7wNyn9VX4ecjnUGhLO3eb3NckpGeG71N2CdC6M2PkuDYzLWahVSIzOzbdr6eXgmYhL5ofcaCnL1DBkQiNnTFFBX/zO4BvfRX8lZeKmTv2PUATIYratiJweGpiIycbpK9HLbmnAyONM89TM3nEVAV+2ewu5xy26+N7l1dwc8VuqRTQLbhrNT7DMD4A4AMAYJomMplMg0fcPXDPQ+7Yl+AsziEV04kWAoBfPgtlZRGpJ98LVjWbaQzrgdfBPvFDMD0O99YNeK4LL5WmTFDy6hQhd+U4UNI9UIZGoI1Nguey8FK98PNZ+IvzdKF6XmmXl4EeL4m/niBAMzXomkq59poQQS+eBBQV2u77oA6NQB2dgP3SD4F4Eu7aSuMtryQeuxCqyOK4coaZc2paKAqYlYeS6oEvzINYIgGlfxDwXKhjk9DSafBDR+FlRgA9Dv/2NLzlRbChYWg7pqCOTYIpCtxbN+HdvkHvTz6LWCIBb2Ya/uI8uJWHtmM33JdfxPCBIwCA3LEvwfcdsPsfLC6bWwUoP34WqSffC4/dRCxW+732ORp+djMA/tQYr3ufMDRNQyaTwVrBxYePncGZ22twfI6YwnBgrAcfffIAehKtXaqPDQ1j0ZvGzKqFRGgsreD42DUUx2OHJhp2dT1+CQpjUEKKK5wDy3kHns/BOXBtxYHv2zg3l8d/v5rFn/3SkZbX2g7kuWv5cY3uYBjGtwFUexc/ZJrm080+kWmanwbwafEr7yY2uH/6OPi1q0gPDiCXKzVL4ddeRfbZ79CY1DrAJ3aCnz1FhfbbN2mbaxUC+fUSuSYPfqoHfiwO9/7XAX/7dcpw5mYoo2IKyfDqigiCoW2vpLPIRodUXrabkZ8SZGOHASkdbiEPd+amCHQKZZ3NyGEpapC1huWwioKkoo7JVHDG4C2R6jEGhsBTPfALBSCZgtvbD1u+D5lxEnMA4D/9Oaq5AYCwhuS9/XR+8jlAVeCcPkHTNAAdK5GC8sIPkD/1Evj4JHDtKtX4arzPKh+ua2uoq0rHJxkymQyu3LhVQnwGAMfj+MmNZfzK//PDqsTnRvjZyRhO3nZwcaEAy/UR1xTsG0rg8FgMiwvzDR+vMk7yU6GML2t78Dxe3ER4odtuLufx/v/6Aj7x5NRdy/zKJ0smJyebelzDM2ma5tvWv6xNgjvI75KNEX76BHD8eQpEMZ22a7lsQOCNaSLro6kNtu9+8POngYuvBEGDySkJHlBdOIIMUAZBRSo1N2n+LSH9gG9eJeGEQoE60J4QXEWDeqEWo9fGOQUiBjG6VkDpOJoPPPwWCljXLtPxVVXU/QJ5qHKqULWubMkUzfQ1CvbS+Ekci8UT9MVz/RLYYPXsQL7Ph3du3xBF4PUSnwHi7EnjIhng7h1K4PBYqkSsoRyNuteHRpN4cTpXIj/l+LzYTisPbSpjmM+5VVWhuw2bY0N+h1HegKhAm/wupqhgikIdytFxusB7+wWfTQsCWSIJ7D0IZMaBc6fBZFc23QOW7qGgIdUfFek7K+p9QJDlAUFntFjzapJGwTnV1JYWqWvqekFAbeaxvk+G3XaBuH++H1hnWgVqRCwvAhfO0mOOPkznZOe9JfJQValC5VJh8pUxRhSYHVNgBx+sKjXF4nEKtPVgW3jXviFkUiqstTVgfo7G4+bnYK2tYSSl3pERL8/nODtbgM8B2yNNPo8HppL1iM+SqHx8OivMzQHb83F8Ootj5xdrUmtk9zpsii6715/4wU3Yro/3PzSGoaQOJ3QMzoOqbbWGLgdKzNO7Fe3SWf4hgD8BMALgbwzDOG6a5j/oyMruIprhd7VqVlSBKxco4M3eouzGylPgi4eKzPcdKrqyQUwf4MTzFBBXlkIdXVBAU5iYyhBbSk3UCz0/8OWQdbZWMj8ZQKWk1sAgEYYdBfWFC0LzuUVZLIR+F8dWNREcbaL23LMb7L4HqlKFAARTL1YBuHUdXNOAye3FRoYMkjwWE0/FS2Tp7WQSPNVTup5q0OOIKRz/zD6Or+VjeJkNwIICnTt4KD+Lp2wXMaW5rVSz8HyOL5+Yhu3yQNCak3Kyz7iQoq9NfF4vUbmZ7vUvHMrgz4wj+Ngzp4jH5/nUR+MU9BRW+WWoMHbHnNE6iXa7ul8B8JUOrWXjIPhdSKUqbuKWBezeD9QwK+I3rwDjO8CuXaobELltEdVidZlqUOEPMvdpPjVMxbAtMiD///poRyu/apm4P2MAF8Y+yQTdkEoRfUXhgeABgKJcVDPjatLbVxXmO6oS0GpsW2iOVwl+nNM2lzHaauZF57pijpeTLaRUXcnngOWlqlJTFVMvigK+c4omMq5cAk+miAje0w+e7qGRtYFB4NWLAamZidc0cwvgnIJk2ayufJ/ZnoPgZ08itjSP9/boeC9KqSt8yQLvwDxvGCdv5zC75hf7WyXPxwGfc6iM1SQ+r5eo3Gz3Oqmr+J1HgmD/pVNz+G8vz1fN/30Afbpyx5zROoloq4swv6u0aykzCTBUHW6HrgMnfkgimY5dGhC/cww81EllepwylKm9tLVThUERYxRUhkfIB4L74LO3wC+fg//VvyLFZ9k00AWfTm51VY24a0CQSfUP0GM0MeZVUwKqAaSiSr4AXH814NPJDLIcug4MDpc2bmo1VWQdsHiiq9+t2tQLYwyY2FbscLPd+8BGx8Fch4LpSz+mOmW1i29gCLCtujy+puq9HcTFhQLiMQVDSbXqSLbP60u6NyIi17o9Zzm4vlzAubk8zs7mcW4uj+vLBXhiyqdW1vaufUMYSWsVPEWp79erq1VVobsNUeCDqME99iT0oz8VXJQxHezQg6SafPVS9Yth7jbZQeZLvTDkuBQ/ezL4o6hPMabQdvbe/cBghra/8SQwOBzw/G5dB3r76SIfGgY0DYqqEpl4eISc1xKpwIg8mSZuXE8/ZVueyLbicSFD1WjetwY4J4krxwmoNF6IgiNpKr399Px6IqhbKmpASg4HSiEFRT+FzeNADRPqWkFoboaOkV0t/fvEdqCQI85hdo1qlHMzcGem6XVMbgcGh8AOPVj9fVbUO17vLYcMTI/u7IOuVupReD7qEp/XQ1TO2x5eXbaxZhElhYFOxZrFcXnRhud50FUFx6ez+IsfXcPnT8ziS6fmcXw6C1Vh+Njbd2FUOL5x0JdRX1zFaDqG0Z7YppC6imZ1BZiiIn7kDVC2TVXc5tcabl9aoMyiyixseTe4OO87PwOsLlG3dHmROq/9gxTQ5mboYg6JmTLGwPccgHLpFfjLiwFhN54UpGYekH8lyTemU/2vIJRaPDHP6wnStKYFgqTNiI0WtfZ4kGlmxoDX/TQFixtXoRVycLlPwVhqARa/V3mg/acIX+KBocDmMaaXqNfIcgG3CtQUKod0Ryv3LWaMLCjnZgQBnANMgZLqgcdU2gJP7amr4NzsPG+nIAOTril4532DePbqChbyXpENNJbW8O+euKcmlWU9ROXPvHib3p6yhzBGgkA3VmzsH43h+HQWg33pkobJ9RULT+4dxCeenKrQD9xMJOYo8DWBmheD59GHpxa5OTwuJacGvvBZykQAUdMThONXL1Bwkd4Ur7wMrqpFWoZ+6EG4r5wC1paDTrC0ppSetgAFN03ISMUTpReqVQhUYJgYeWtYhxb0GN8RgdKj6RCg6ByH6WvgvX30t8HhYJa22NAQh1JVygzjceDIwxSoCgVgbQ08+5NAvca2gO99E7h+mRoZth1klgNDwchatfMuyxUjQb1UicXgOQ7V/Zbqj5zdbR+Oe4cSOLdEXz66puCx3QPF2yyX4+hEui5/r56rXCat4fBYZd361EwePXEVKwUPHi+LfwwoeMBkT6xhw+RuO6N1ElHgawa1LgZVpYsyNBhfgvLs4NxpQE9UVXPhhQJw7iQ1OWRR3veoKL+yDC8zShQRx6YOr20H87TS6Dy3Ro9R9KAjm8+GpsaUgF6iMEDRyrIm+UEva0ZIoyJABDNGXekrF4CffhxIJoPgoihATx81cUqsJFnwYygTBL3b1ylDswr0rKl0sI3O5egYcaHUYgt7z7UVyorjGnEdi93noRDVpwbq7Pi574H7PnDrGvjaSgkfELZ9R3w4Do+lsOg5uDKTbzpwhSFd5cp5fAdGiMdXbTrDEa5ufQkVOceH4/Hid6GuEhm+lvhAK8ou3Ywo8DWBWrJUSPcCfLVyMB41soM6hXOsLlEDYbgsiKoKcPsG3JVFoLcP2LYLuHKRtouaBgyMBg5tPkANE6Hk4lhBNqjF6D4cYvvrVQkCNaKC6wbZFWOUsY2M099npqm2F4YMPKpGgS6mU03StoTrmgKuxQBrCbhxlbbkvmjCSNqONDuS0ydMZLHShzi7CoxuI+J3+Esin6XAK+d7i6+hfj1RdpCxMEeGUnMztKWeuUUB+PF3gh040rY0fTlUheGpg2P42PU5PHedKCMxlcjDv3z/cFNioeWuckB9UnNMU+B6HAwM6ZgKlGlQ5J3624BmlF26Hd2/Ge8CyOZHeVEcP/N24MjD1OAIoZZOX7XCOeccfPYWcPEsZXRzM5TdyG1iLkujbFaeDI0yo4E8lSMmLdI9VCdMJInIaxco4GlirVIBxnUAiCkJMSOLpi7kslpgUlxgelxYQA6RoKqEY5cmj5qY2Ijp9GUxNAp2z17i8GXXaGsvY66k09i2KCUw2r47jiBB5ynQesIms7xjzRRgfDLUOYcwDR8HpvaCxat3HMMdZNmAYnsOgh06Coxvo791OOgBRCT+o2+ew6uLNoaSGsZ6dAwlNby6aOOTz03XHZ+rhUak5kMjiRJSchiOzzHWW+PLWaAZZZduR5TxNYmasvIHjgTEZitPEw8MRKb95lfAQ5y+8loh5zxQD/a8QJNubZWynIEhutABMEUDz4wS5aV/kAKelacsrrcf0DWQNJRCAUFVhYet+IB7gujMQdJOMusrTmU06PrK7bGuA0OZoo0mlhaA4REK3tJzOJ8r1duTo2rpHiEmOkPb5LlpBOREBDSY4AQBnAWdYVV0il2bsreY4AMWzdxVMjA/fxYYnyh+UejpHri5HNFY9t5f/fXdBVn6avjqKwuYyRYaEolbQSNS80/t6MWFBQtLBa9EcsrxOQYSKn7l8DDOzFTnBzar7NLtiAJfm5ABke8/TCRnxw22w+US6OW1wnL14ESSaly5LG2vcqI+l+qBMpSBDxYEGKsgBADEW5hdEfU+JjIyXhzkL6qvyG6u71O2ZltCRQXNsV3iCWDbTsq2kimqfakacPEVMFULZKI4grpbZowkpMrAbUvw7XTRLGFVbDTLFuWLY7ourb+vj36/90DwBZJM0+u2bNqmri6DHzzSUC37bsjSV8PJ23nENRWOU5nZNSODVQ2NSM3Xlh187O278JkXbxcnMmKqgiMTKbz/oTHomoKZrIu5rItwhbFa3bEdteqNRBT4BNrV42vKwau8VrgkaBmrK3RRr62KUbYkkBmhQNXbBywtgq+uAM9/ly76Ql4ELIW6rfMztBWU2Z8MnslkoOLiexRkaAAqmM5QVMC3UGpIVAMpwR0MFfwxOiHoI6CMLi0mPOxCqbiohOsBkxNgepwEpGOxgHdIpLDSeBd+vNw2Ow4FeaC6/HxmlNa4tADkc/AW58EOv6G+h3IbNJbVgoMPf+cari3ZRHNUgB0DOj762A70JuqLuFquB72OivF6xr+aUV8un8goh2yYTBcUZDmqNkzaVaveSESBD0Fh28qvgt++RSY2ngecfAH8J8+B/fL7oGj16x7NbJXYwaOlEvaeCywvUfDJjFMx3XEAV3QwBwZpvE0KZjoOBT4ZKBQEf/c9wBbNgIkdZMHoC1UVRXSJ9QQdiwuBA00NmQhVS/tYYBSuxQBFBdt7kLbo09cpUFgFcex4IEowMBC8LjmaBlDQ03UyUWcKoCeJ/J1IBq8tjHAnWQq3OjZlmbKhoqoBn1I+x+gIkcTF3LM2MAi30TZ1nTSW1YKD33r6IiyXKgFSR+Lygo3fevoi/tN77q0b/OKaWjfZXs/4V1xTYHs+bNcv8gJ9QaUcSqp4y1R/w2PIhsnb6hiKNzvv243oznB8l8HPngSfn4N79TJtj2ShngF49Rz4Fz5bMn5W9RhNMv7DEvYYm6QOZF8ffSoHhilIqCoFguUlYHQSmNgOP78mBAjcQG1Z+s3KKy6ZDra7cv20OhG4GG1Hh0cpm9SF+gsDpSnlYKBApunkh+v7NF1y9RIFo51TAT3Gsigg3XeIGj47pui5xNNDUYnjd+QNUA4coex3z0EAgoqj63R/TaPanZTukmbljFF2qGp0zvJZes7+oeD9kp3b8i671XibGpal9zhwwu3Bl61RfD47gq/oe3Fi4N6qSicf/s61YtALQ2GA5dLt9XB4LAmrRlZnuXxd41/3DiWwVnDx9XOLmM16JdMZs1kPf/PKIrJWE/qKDdDMvG+3Isr4AMq+VhfBczlUzHjG4sD5U/D//FPA4HDNLfC6tkqhuj4dBMF20fUAzwHbthOc+1BWV+BlV4MgIMnJkv4iDXvyOSIQSyKx51LA1OMUFJMp8vQdGArczaxC4HcrF8JCa+ofoOPpcbC994PbbjEz4iIjZJpG2encDNjIOGnk9fYDq8tgU/fR85edN/ar/xM448D5M6JbGw9k5FWRlapascGDuLCa7Oun7LJ/iMbU5KTIEPl4VMjPVxElKIfUTfTOnMSxVxYw7yqIqwqU0SHYmVGcuJXHjVWnwo/22pJdEfQkFEa318O79g3h6uo8ri9mK3h8I2ltXeNfh8dS+PSPpmF7lQFZVUj6qp6+X7OwXK9uXbSbVVqiwAeRrS0vgGkqEC4yc9BomeMACzNgQ5mKhkUx+K1nqzQwSMfP56tzziz6UDGmQBkYhJcQ27uwO5mEqpEAwtI81dzSvcKrVgV6e4MscGWFfj7wepogWV6ggKPHiVri2qV1Nul7e+1VIDMG/s0vA30D4FIwdGCIsuSYIF4vzVNWePMa1Sx7esEX54HXvwlKucyUbVGH+JG3ANwHc2zwmB7ULl/4e8rspNkR9ykTVDVgYhSY2A71nQb8e+6re+5j9+5HEz5xYIqKU0N7sXhPFomK7RuqyjwVRbBroJGNrq4p+PAT+/Bfnj2Hk7fzKNgOliw6qJYH/vh7N1puFqgKw3LBQ0zM/kpyssJINooBHTE2j2sqbK823aabVVqiwAfK1rjnVTL+c2uCKFw6F1rSsCifxW3Be5fFk0I9WJBlXY+G7AFay8oSdXEzY1AGMxR8Eklal9TjAwJqiW2DveFnKYN17ApdOsqmNGBgkAL2yDj48kLw2oYywC1h/ejaga5fLkupQnaFCMZDOWB1hdaeGaP/S5OjuRlg9jY9To8TcXn6OvCNL8O/eYXWvbQQyHu5LriVpXP0xHuhiC8S7nvwz58Jsj9J0s5lg/lmWT5ocO71+x8CFheb+iy0KvMkeda10IyNrq4p+IVDGbxrHzULHB7UzdbbLPB8krNSazx/J4zND48lN0StuhOIanwACX5W+xwUQlussrnQcomiWiTnsPJH1ee1XaFKJoAiAAAY10lEQVTWcoACRSxO21FfeMTeug5cOie6visBx88StJE5IXowN0N/v+9gSAmGERF3r/D/3XuQ1jYQ2j6Fa2SKAoxvo60tB01+SJWXnj4KWnYBWJylADR3m4LX1F6o49vpfBXy9Np7+qhmyUBfHI5N0vsXztbsfIfVbPjZk2IsjwIlcoLUrQi/kauXgGuvgvte43PfglFUqzJPOwb0moHP53R7s2jX2jIMrVrNNnx7B4zN37VvCJm0BsstPQHtbNPvFqKMD5Qx8J88B379cmnW53m0hYsnKECUo6yhUYvkXO95ZaaClcWAkiG3uvfcS4oiN6/RyFr/IAWA7KqgvlhB3U7TaEv43WfIKrFGBoSe/oBwLM1+VpeDpoEWo9fsOsC8F6Q0WSG9xTk9txajhoSQeNfGJ2HdvAYMImhqhKGpxD9UteC5wzO2mbFSkrBUrL5yMTBUl1AUqkvG9KIwaKvnvhZkR7Te7WF89LEdJV1dCZ/T9vijj+1o+rnbtbYM424Ym+uagt9742SFSsvrJiMe36YAU1SwX34ftKc/D/fiK/RHVSUOXUx0G6vM47YrUSQL6jh7EvyZr1BwUNWSIj3v6QMSSXDXoeypt4+yp5TIforcOQu4cAr81fPA5XPA5A6gpw+ce2COU5Rz5/sPA8/8NWVTmjAl6h8EVlepPrh7n+C/5UVXt0zMVE5RrK3SzC33aZ1WgQJhPXKG64rM1K4qxMB7e+Ef+yLV/i6coczTdSqbQL4wJ5/Y3vGJilZlnnoTMfyn99xb5PFJ2siuweZ4fKXH71yz4Pcf3Vbh2gZ03thcbtM3m0pLFPgEFE1H3/v/Oaxnv1P0fuBL80AuD0xuq+gUdkqiSGYq3vlT1T/0QpxA1WLg9+6nbGnmFmV4AG15U+nAw6Knlxo1o+NBffGJYKvtvfxiFboeo2PEdOCRx4AXvk9WmIpC2Wf5GJmqUpDjPtXztu2C/sDrkGMqcOZEbQ9fOZlRXvQWQgxYTgKjk6TcAgCzM/R8qTRtsWVUSfYAvX10vjo8UbEemafeRAyfeHJ328/dyWZBtxibdyu29qsvA1PVEpFKIjYfo61okw2LdT93Pc0/IAh0y2V1Hp+Lgr9DAamQp3lY1GjCXLsEvnd/0FCR202ZZV67RHFOUWg7a9egY8R0YO9BsMmdUJ78RcQzGbDlZfCrl2hLW36RuoIEXS1Llg2LcJlBdoulwVJY+sv1qH4IdFwYtJ7M072DOv7o765SIPF8aKqCPcPxjgWSTjcL0nGtbcrKaxVR4KuD8Fa0mgNYR9U6yugwnPsUnBaJTuMPDlO2J0U4ZRamMMr6ZEbK/ZJGTPmAPc2kKjTVIB3dwpATI3399NzlDm1S1KBX1ApvXIV/7ItY01Rwx6GMc22ZTI/C0xQxncbbGBPK0KFzl8tRBpkIXdiiW4zcGtU+w9MfYk74TgiDAtVlnrKWW7J1ZIzB8zlOz+Tx21+7tC7D73K8a98Qzs8XMFsl2+xEsyBruUEGeAcC92bC1nq160CniuZhVLOq5Dt3k7zT0jyZCl0+T3U2RQW8AvzsKgVgx6YAIZVVkj2l5GPOSru2QKkSdI3MshhoV5cDpZhEUpgHeZRZMiVwXTt0lBovtgU+Mgp3fpm0+QoF2kqn08JqkgETEzSmdpVoNhXZZipF21k1+DgWjcJ7eulcSGGC0ZE7KgxaC+0YfgP1g44c6rqTzYK7Ebg3E7bOK71DaNVvt8IyUTiz4fQJYHAIOHAE+PH3ic8X00lmyXWCCQwwuo0jUHOxhF2l5wUd0jBCvsB85iZw8zoQ1wN9P4CCS3aVDI0A8v9N9dLzSI9ehdH42q57SbAzuwqMTQCXz8NzhTR9LEZZWSIFtvdQCZXHVxTKasuyTX7hNKmpDJcGbMYYMDoBPrkT7J69JVk39h7qfNZdBxfmraodUqC+4TfQOOj81W8E86x3qlnQbuB+raFdQ/GPA3gXABvARQD/2DTNpU4sbDOgVhCrOtkhH1NPxWVxAWxyF83wDmVoazvrAEMjUOwCvLVV6m5aNm0N5VSFnqA62eAQcOjBkiYJtyxydBPrxMAwsDBPgevWNHVPk0IdeXhMBE0e+P+me0m5RcpfJVMUtF55WWw/GVDIgyUSRPYGaBubXW2a5I1kD8CzlQEbQROpnkFQNYQzLI+fg8rQ1rbO9fy6Hdd6hOBGQefDx87ggz8z0fKaWkE7gfu1iHaJNt8CcL9pmg8AOAfgg+0vafOgkRRVib2kRBMqLkXBA+kmxgCW7g0aDr2SHMyI8Dw8Chx5A7D3/lITc+kLzBFap6SlgDI416VpDKngAl7q/5uIE4F7YjvZM07tES5uKmWhF84Aywvw11ZLa4Ge1zTJGz/zDuDI6ysaKettIskM6/RMHp7PhYhzkGGtZ0C/HUJwo6Bz5vZa1ds6CbdOtxjozCTHZkJbGZ9pms+Efn0OwC+2t5xNhnWo9jYjeFmsw4XG5Hh2lTIqRYyqCf4e23eYsroDR8iKsUoTBt/8Cm1tAWHsk6fgCVAcvH2DpjRuXqUxuW27aAsst8FLC0WBBr5zN83hFgVMfYAz+GsrFAwHhgK1ZPF6Ss5LLSXrg4GSdbtNpDuxrWuHENxOttgpaKpSVV2meHsHJjk2EzpZ43sfgC/UutEwjA8A+AAAmKaJTKb7dLo0TWtpXWuaCsTquGBxoKfseGuDQ/W5Z3ocsXv3wz7xQziJpGgQAN7yIpSYBu77UNK9UIREk55KUXNg4TZ63vvrAN5Wd512bo3qhqCEy1+Yhe84UOJxosxYBSiLc0AhR3EtnwOLJxBLpuDNTMN94fvg+RzV/zwHXNPApPOa70GxLbBEEurYJLRUCtDjSA8Own75RTgXz1KzJJ5A7N790O9/qHScbHSs6vpbxaWF82UZGis2vTUwXFqwW/78fezdA/i1v3gBWdstUWfxfI6eeAwfe/cR9CSqX066psIt9wYJQVNYR64H2/Vh/uQGXry+jLzrI6kpeGh7P4wHt+HQeC+O31ypal7k+RwPjPdWXUOr18TdxnrX1zDwGYbxbQBVeA/4kGmaT4v7fAiAC+BztY5jmuanAXxa/MpriRtuJDJ1RBerwXe9+lJUMR2FsuP5mYn6Ki6HHgSb2Al+9hS4ptOomKpC8Tz4rgvEYvB0Hd7CPKBpcH7yPGVXfYPIz9yumh2F18nl/DFAx15bJTOjlRXRvNDg9w9S/Y+BNP4G0nBOn6Du8ZqwsHRsqi/aFriqUVDmgLe6AvT0w+3th7W4CBw4gtwX/7xYBwVA8l9fNYEv/yWw4x4yAGpB7boR7LIJCKYAPJTt2OAtvc8Sf/LOXRWE4PtGiBBcWFtCocaOdfeQXjdbPDzev671hFGuhgwAay7wrbO3cfzaPP63N4zin359teYkx+8+PFJ1Da1eE3cb5eubnKytKh1Gw8Bnmmbdr2DDMH4DwFMA3mqa5mu6UFDewcU6JjuaUXGR/EE+Ngl8529InEDTaGY4laLmBBB4WXgesDAH/p1jVRsqJRxBVQ2sJRfnKaPU48LdTLiZLS0Exj+SOCzniLmgtRTydNvqMlDIUWBhjDrNU3uLdBPOUFIHDQyWsnTMxTnwRKo1tesGuFPbuvUSghuNj330yQMorLXXE2wkcPDtSyvRJEcI7XZ1nwDwBwDebJpmrtH9NzOqdXD5wDAwdwY4fxZ87/5i8KsrRaWo4G9+B/Ctr4K/8hIV9HUd2PcAiQtIkU5FhXr/Q8Xal37yRyhcOk88OT1OQU9eRK4HjI5XdFGLzxkWQ+gfIqpKIR/4bsRi1GSwhE+G45DPbe8ABbELZwLCsSQ0c58ywr5+YGAQ+tgkrJlpEnQO0U34N74MrCyAS1GCQo6O77n0U1UDUQOpdv2rv9VW5nc3BvRbQaPxsZ6EVjNbbBbNCRxkthRlpR7aDfN/CiAO4FuGYQDAc6Zp/i9tr6oLUa2DyxgD33OAqCuLC4FKcZ2iPPc94LvfBNZWwHbvC/6+tgJ89xnwsoxNNgP6Hn0M1hf/AvyFZ0sH9kOTDIyxqg2VEjGEV89Rlra0QBmkJmwpuU+cQNmcWJwHevvpNXpe8JyJZHH7XYTvQxvfBiueAjv0IFFP5Gs993IgtMogMr08ZZTJFEr8evU4cONKUXFlvbhbA/qt4E6Pj21mNeSNQLtd3T2dWkjXo0YHlzEGPrGNAp8ep67tlQtEGqkS/JpyY6ty0TOVqCD88rnSqQcxyVD80NdonIS7qfwJD/5n/wN1cddWKMtL9lDgk8dRNeLwAYHhEEBzwIU80Wi4mBO2LVjHnwfiacpQhUZeUVMvPJ7m82ASxLErZ20Z2lZcKc+wfE5jaN24rVstOPiDz7+IS/O5lh3awtjMasgbge75BHQ5atFQOPdJKHRhDnx+BvA88qG4chH85hUojz9VGvzaMK5migq2bSfx62qhiaF9Os4u8JGxYDSuXPp+ZBzYsx9c+nPM3AqUqMe3UVB89Txtj/sGoI7vgNvbD5w+AX7rJmWYUlNv9laQISossJF0HDIxCkNVO6K4Es6wurVALx3abJFQt+rQFsZmVkPeCHSvUmCXgdUKKLO3SMIpbM7te7RVPPEj+GdOlNy9WTe2mhDqytXALYtUnZuBUH8uEpVlYJLCoI8/RUH70INkV5lMUcAaHafHKApliNungCMPQxsnOakweZvbFnEBE0kKpgCRoWm1gRyWhOtRDbLDiivdinYd2sLYzGrIG4Eo42sWtcyEbl6jWdaevtK/S8/aH38fOPRQ8c/tGFcD6/P2aHic0Oxs8TgHj5Rtj99bQjDmq8s01xveZhdfQwz8h98TRk22cHkTIqWpNNUIbavUClOqTvcONB+8NznadWgLYzOrIW8EosDXJGrOma6tUrASGngl0FSalAhjncbVxXV0SCqr1eOUT1x4T3+u9tb/8nmiqoxOiC0ygsC25wD5gpx4IWhsSD3A3gGw4dG7prjSKloVpGgkA9WuQ1s5Nqsa8kYgCnxNolagQE8vOYk1SQ3rRMbWKamsdo5TM3OdmxHCCfFAU09yAIXvLvoGgTe+FZjcDnb1UnAuO0hi7jRaFaRoRgaqEw5tEdaHKPC1gGqBwrt9k5zQqjl5uR5p0ZWBj08C1y+BX71IfxgeBV7/puL2clOgVua6vEC1wIGhQFNPWlyqIIPxn348CHChMkA3o9VufDPzwjsGdFxesKtaQPqcfDsi3BlEG/928fo3kUZdOU9Kqg6//k3FP8msAadPgA1myPZx70Eg3Qt2++ZdXnh7YPsPgw1lqKEShmUVeYUAKi0up+6DIlzRNhWa6caH0IwM1Ecf24G4Vpn1rcehLUJriAJfm1AOHgGOPEyd0PLO6JGH6XaBdclYdSkqJaZAPyd3AFN7a5NpN2nHttVufDMyUNKhbW8mVdzWKgyYGtJborJEaB3RVrdNMEWF8tafA9+2s7T2V61e1QaHb6NRt7B/8Ch6MhkU5ubgnz4Ofup4IIMVPsYd8si4G2i1G9/svHBvIob//GsPdSXP8LWMKPB1AM02CZrR4utGNFPYl+gU3abr0GI3vtvmhSOUItrq3kXUJEFLdOk2sJUtei2VZXbowRL/jc2GWjXNWgH99x/dhlRMgVemw7eR88IRAkQZ391Emxy+DUNThf1AvexOONNtNFrlPUaG3t2N6OzfRWzWbeBm3aJ3Gq0G9MjQu3sRbXXvIjbrNnCzbtEjRKiFKONrEa2OLZVjU24DO7hFb/f8RYjQCUSBrwWsx0f3tYDyLTrnnKYx5mcBXQdPp2H194NP7Kz7+rfq+YvQfYgCXwtYr4ho28/re7BO/Aj+Sy9sSJZUquB8nlSVbZu09jKjYK4L+/jz4GdP1Q1eG3X+IkQoR1TjawUtji11AjJLso8/Dzh2SZbEv3OM5N3vApii0qjZPXuBbVMUdEfGiz4jLJ5oPH2yAecvQoRqiAJfC2hbRHQ9z1nMkkoJrxs25tZG8NqI8xchQjVEW90W0K6I6LrQZWNu7VBbNuT8vcaQtz185sXbODWTh+P6iGkKDo0m8f6HxpDUo/pos4gyvlbQKdn3FtBtWVJb1JYNOH+vJeRtD3/4zBX8+EYWrsfBGIPrcfz4RhZ/+K0ryNuRk1qziAJfC2h1bKkjz9ltHLo2gtdGnL/XEj7z4m0sWR5iZQqlMYVhqUCZYITm0K6h+B8BeA8AH8AMgN80TXNzCcu1gE7JvrcEwaFDKlVx00aMudWePik0DF4bcv5eQzg1k68IehIxheHUTP4ur2jzot0a38dN0/xXAGAYxu8C+NcAXpOG4hJ3m4BcDDSFtZK/b1SWVCt46Q+8DoUGPD75+M1E4O4mwrXj+nXrq04DDcAIAdo1FF8J/ZoGyVFG6CBkoNGnryL/0gsdyZLuxPRJPJMBe41pynUb4TqmKXC92pdYTI0qV82i7a6uYRj/FsD/CGAZwGN17vcBAB8AANM0kclk2n3qjkPTtK5cFwBok9sQP/KGto/DPQ+5Y1+CPz9DFJkYfQT45bNQVhaRevK9YNX8Qxqtr5vP3TrXZp34EWwrBzY4WHpDKgVeWIM+fbUj70mz63v9jgU8++pC1QDneD4e2THY8fegm99XYP3rY5zXT9IMw/g2gPEqN33INM2nQ/f7IICEaZofbuJ5+c2b3VcKzGQyXauE26m1SYXkmnO3hx6Eso5t6Gvx3PnHvliffhPToTz5i22sjNDs+vK2hz/81hUsFUobHI7PMZBQ8bG37+o4paWb31egcn2Tk5NAE56HDTM+0zTf1ug+Ap8H8DcAmgl8ETYKXcYL7GZ0mxxXUqfgVuTxeT5iqoIjE6mIx9ci2u3q7jVN87z49d0Azra/pAh3Et12MXczupFwndRV/M4jk3f9eV9raLfG9zHDMPaB6CxX8Brv6L4W0I0Xc9disypmR2iIdru6v9CphUS4S4gu5qaxWRWzIzRG1P/eYoimJ5rHZlXMjtAYkUjBFkM0PdEaNhvhOkJziALfFkR0MUfY6oi2uhEiRNhyiAJfhAgRthyiwBchQoQthyjwRYgQYcshCnwRIkTYcogCX4QIEbYcosAXIUKELYeGslR3CJFgaYQIEe4UGspSbVTGx7rxn2EYL2z0Gjbj2rp9fd28tm5fXzevrc76GiLa6kaIEGHLIQp8ESJE2HKIAl8pPr3RC6iDbl4b0N3r6+a1Ad29vm5eG7DO9W1UcyNChAgRNgxRxhchQoQthyjwRYgQYcsh0uOrAcMw/iWAjwMYMU2zK/z1DMP4OIB3AbABXATwj03TXNrgNT0B4JMAVACfMU3zYxu5njAMw9gB4M9B9qg+gE+bpvnJjV1VKQzDUAH8GMAN0zSf2uj1hGEYxgCAzwC4H8S9fZ9pmn+/sasiGIbxzwG8H7Suk6BrodDs46OMrwrEBfN2AFc3ei1l+BaA+03TfADAOQAf3MjFiIv2UwCeBHAQwK8ahtFNph0ugH9hmuYBAI8A+O0uWx8A/FMAZzZ6ETXwSQDfME1zP4Aj6JJ1GoaxDcDvAni9aZr3g750f6WVY0QZX3X8ewD/O4CnG93xbsI0zWdCvz4HoH036/bwMIALpmleAgDDMP4KwHsAnN7QVQmYpjkNYFr8f9UwjDMAtqFL1mcYxnYAPwfg3wL4vQ1eTgkMw+gD8LMAfhMATNO0QTuNboEGIGkYhgMgBeBmKw+OMr4yGIbxbtC248RGr6UB3gfg2AavYRuAa6Hfr4u/dR0Mw7gHwIMAnt/gpYTxH0BfsP5GL6QKdgOYBfBfDMP4iWEYnzEMI73RiwIA0zRvAPi/QTuyaQDLZUlBQ2zJjM8wjG+D6j7l+BCA/wPAO+7uigLUW5tpmk+L+3wItI373N1cWxVUGw/qOn6UYRg9AL4E4J+Zprmy0esBAMMwngIwY5rmC4ZhvGWj11MFGoCHAPyOaZrPG4bxSQB/COBfbeyyAMMwBkE7iykASwD+m2EY/8g0zb9s9hhbMvCZpvm2an83DOMw6GSeMAwDALYDeNEwjIdN07y1kWuTMAzjNwA8BeCtpmludJC5DmBH6PftaHHLcadhGEYMFPQ+Z5rmlzd6PSE8CuDdhmG8E0ACQJ9hGH9pmuY/2uB1SVwHcN00TZkhfxEU+LoBbwNw2TTNWQAwDOPLAN4IIAp864FpmicBjMrfDcN4FVRA7Zau7hMA/gDAm03TzG30egD8CMBewzCmANwAFZh/bWOXFMAwDAbgPwM4Y5rmJzZ6PWGYpvlBiOaUyPj+ZRcFPZimecswjGuGYewzTfMVAG9Fl9RGQVvcRwzDSAHIg9b241YOENX4Nhf+FEAvgG8ZhnHcMIw/28jFmKbpAvgnAL4J6viZpmme2sg1leFRAL8O4HFxvo6LDCtCc/gdAJ8zDOMlAEcB/PEGrwcAILLQLwJ4EURlUdDi6Fo0shYhQoQthyjjixAhwpZDFPgiRIiw5RAFvggRImw5RIEvQoQIWw5R4IsQIcKWQxT4IkSIsOUQBb4IESJsOfz/Lc+RUZctkqQAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.3\n", "y.shape = 1285 y.mean() = 0.29961089494163423\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": [ "Target percentage 0.4\n", "y.shape = 1500 y.mean() = 0.4\n" ] }, { "data": { "image/png": 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8T8XCqtEry749M2OCwVqjJB3A9aBzlfx+AfcQXywYns7xwW8fYaoYPtacgL+8YxNdTemlW1gFYuJboVDbd0L/CfTwgLi2gSXlepLQ2LQFDrwCvgu5Ytl21dYu7u/pE+BMw9iwkFKJ9DzQlvzetSo8ZiqFPvyKPFYlo1rqla0gvtJaD79c/oJgrd2r5e/z3EN8oVzk5wvD0znuefzIjMeninDP40d4+K3L57zEyY0VipIgwY23SmLDDerZRJCAogfXvg5Wr5cSj4hgQWLrVUJczW2yLd0IdgJsQ3bKEosw0PYrOzDistZClZhgaa07Xxu61ZG1KmWVeojPF4KLPEp6EF7kw9MXajfz4vHBbx85q+3nE7HFV4ELshthkVCWjX319eirri295yDYz7ZrUNt34n/zKxLbC4p9x0bwUmloaROCHDgJThJaEkJ46QbITMnvvg+njsHqdeFBbVtIthaS1a02ZdlYb34r2oihRl3lICN7PnuI53ORP9Jz/oh4OaDyJrDQ7ecTMfFFUM9C2aXEQsm7VrBf+x4cPyxFzY5twnke3ukTYslt3iYW3qrV5TvMZSXxYVnS+RFFW6cUPldb9xx1dHNmZM9jD/GFdJHHmImY+CKYS6SyauC9HsetQVT6hpsXt686kbfet0esuYqEgnIcKSvpPxG2t0URtfoq0dIO6UYhuSpWW2UdXU0Sf/NdF8RNKMbyRBzji2IJRCpnk0LP7Pr6gqXQ66owfPQArL9EiKyae1oswIbLw4FEARqbJBvsefJ7sLZ8HtW1GvUf70Fd/WoTO9SQSKKufjWqgpRjmfgLC82Js9t+PhFbfBGUCmVr4RyIVM5GVP7wADpiZc7LhZ0Pec/TapXzYYkWX5lwpyOJha5VsPVq+Kevy7kp5IyggQeFovz0NXp/H3Sthtf+b6gd18pa51FHt1QW+HzQnJjdnV1OF/n5wl/esalqVje6fbkgtvgiUDUC6yXMtX0xmJWo0iUrcy7rx3cL+H270X27hTD296EHT0ubVxQLIO/gfChloVatlVjalTtJXvUq+TvVgLXjWrjmepgYk/7e6UmYmpCWtYZGaO+ArVdBUwtq4FQdz83SysTPdREvp4v8fKGrKc3Db900g/SbEyyrUhaILb5yLEED+3ysTN8toL/8t7DvBdA+2nagaw1suUKsn+Ez8D8fFmIO+lf9QFV4Ah2dl7EQ8o6cj6g4QMGy0MWilJf4HgydlmxtY5MhVtPqZtmQycDQAGrV2gVbaZXnZsaQc8vGX6KMe3CRx3V85ehqSl8Q2eyY+CIoFcrWKJc4Fw3spXasGtCOA5//pMillzojEBXhsSH0a34FJsdgeBC1fSe6rVNkomxbMrFZIR5WrV0weYdFzmekLCUzDYUcbt7UqP3i5+gDL4mV194hj40MhtJOXlHc37ERWLV2wa529NyUhpxny+f9RpM25xsXykUeYybOmvh6eno2AP8ArAV84PO9vb2fOdv9LgWWpIF9ViszB4Nn4OhBcIthllQjJDg2CgdNN0NgGHWvFtWUgCAcG8ZG0K0ds5J3rfghN90GT38L8jmYGgfPw2ppxUumpJTl2EGp11uzznRtRFxrZUnMr7E5fGyerrb2PTQKXtojrXFTEyKdlU5LwXQqDau6YWJUpKkOv8zUFTvwu9ddlDWXMeqLelh8LvBAb2/vcz09PS3Av/X09Dzd29vbV4d9n3ec7wb22axMa8MmeP5nQiyBEGjU6lMWnDoOa9aXrKCqyQiQrGkt9ZNZSmBU/wmRmepeLT9tGyuRwCsa/86yhBQz0yJwYFWQn3lNCfNwtYP1MDEqZJudhkKeglZ8u/VaXmy7nFwiRVpZXJM5wR1qmOTEKBTyF1zNZYylwVkTX29vbz/Qb36f7OnpeQm4BLggie98YzYrs/GGm5l6/BFDJp5YPEHMSyOkkpmSkpC2znCfyipXGE4ksWpkhkkk4MwADJwCC3R01GKQPR0fhYmRcgLTyLFzGVnXyJA8nqqo4dNKRlQyd5x0MlfkwWeOc3wki8fl2N4mNmzcyoMnvkly5DR/sfVtDKZaSSlQSpH3NT9u2sz+9GruH/tnmijP+LJ954rpwomxMNQ1xtfT07MJeDXws3ru92JHLStT2bZYVDmTMLCMynEUWosr2dIxM/hv29DQDDfeJk+tsOxAS+zw5DEhwPZOM2qxH06fQKeM+vL4iMTtGptF+04jwgTFopS2+EaeampCLDrbETLUujSXd6446WSuyO88cZC8CxZK8jOWxeFkN7+76Te5I/kjhlKtpPABq3TMFD6DdhPfbt7BbwbnLZVCH3kF+o9f8F04Mc4N6kZ8PT09zcBjwP29vb0TVbbfC9wL0NvbS3d3d70OXRc4jrMs1+Rcugl33y9MltQytXG+sfiAllYar74OlW6g8Ow/i2XjOGil8CfGYGQY+/vfITl0GiwLPzeF1SGJCPf0STzXxXcctO9hFfLQ2Iw3eFpihMkkyrLQhYIcd3wUu3MVqBzK91EJB21ZIltlOVjNzfjTU1iNTWgFVqqBxM7XYDU2kdiyneQ1189oK9OeR+HF5/joj0bJeymsgFmV/LQU5K0kT667kctzZ4IXlfajlCKtffpaNmJZIzQ2Nsp76z+J3dWNMu+1hMZGdG6KZP8xUtf+0rn8+EpYjt8tWJ7rOl9rUjPqvBaBnp6eBPAk8FRvb++n5/ESferUAmu6zjG6u7sZGhpa6mWUobu7m4Hv/RN88dPh0J8A2pdykQ2Xiyvc2i4zMCxLAv8TY2J5NbeKFbd6rfTIJpOhosn+vTA5IW6q9kNlFdeVfbqukBqErnUQo0umhIATCTlGKi1Wn+dJJ8Ztd83pUkYt0HcWfgk/KCsNRE4jcLVix/RxSvIswQAk25Gf6TR/vqqfTCYjuzj0MuryK2uf3EQS6/a3z//DOAssx+8WLM91ne2a1q9fDzNVG2egHlldBXwReGmepBdjAbCueTX+5dvh5BHT/G8G+6SbhHzcgvycHJPkguuJC9rcIsKcI4MSNzx9wszGTcqQni1XCBG6RSG3glFj9gvG2jKWl0ZeY9mhYjM+uJYotHielLPYjuyncxV0ry7FFGdDtDPDK6i5v62WUXwJ4pzKkrU5SVKE7Ws6nxfJrNlQI7s8msnz4V1HGMmFxNuZVnz69k10NJ5fvb8Y5w71cHVvAN4N7Onp6dltHvs/e3t7v1OHfa94KMuGN90JP3paCCaI3QEU81JABFKsHJBiLifaeJYtdXSeb4qafREWHTglmdLAirQd8DJCglFYtuwnkUCKkhugoRHLc/GLRSFYy4a2jlCA9MxpyGTQvjd3DC3SmWGj8QPqU2qGxWfhU8AmaavQymtsAbdIQStek5gEwppL3dQ88/1EMKZTPPDYy2UE1+LApDvzuSM5zT3fOMzDd22Oye8iQT2yuv/MPEzLGIuHddW16NOnykpe9IE+Ib3slJBYdjpMMgQFxrYjZBd0UTgJsXTcAkxMCHm4LmQmjSVlCXmWoMWFLX28GlraSKxZR/7lvZLsqDYDw3HKeoxrIdqZsYEsh2mUGB+E5KcUvq/ZlB2gW2cZTLSRStiQSKE6OslPT9NdmOJO5wwkO0tlO+zbU7M+cnQyz/u4Fr9iWEg10gvgAx/edYQvvW0W9znGBYO4V/cCQKBAXKZoohEXt1gUF9h25PFi0Vh2vlh0EI6KTCRCIVBlLvpi3rR/GQvRsiOupAqnqUGpNMVevY6q49UCKfj1l86rjzboBdZa82DuR6RcF9/3Q2tPKXwFKVvzUPcZPrR2kl9pyZMyMb1kbprX+2e4P3mAZDpFYsv2UlxxtjGSH+F6fBae0Y1ahzEubMQta8sIlTV2Ux2dZZ0I0ZIXf9ej6J//KEJaCYnpRS023zdy8Ob+ViyKJHyQIfbMAPFUA6Alzld6vQqJtAF5rilNoViAy7ZKAiRaOmPie0pZ8+vQ2LhVyktOHqU5m+Fvncd4qPMWjic6g6IVNtpZ/jR9sNT4fhcnuGt1F6gzMDpiLGApVSns/hl6396wVKVGfeTI87G7utIRE98SIyA7fWQ/vPKikE+XEMisnQgbt8Iz3xECAyQGZ4F2JKYnezdWnOmmyGbEYkwkxFrUWp6bSIjLazvhhDRbyTbPlf10dMLVr4ZCAWvNJlA2yi1WHRoEzKtDQ23fiX7+pxK7TCZppsgnRp4KLcd1l0FrO4pkGXFp7UPfL6rIVaXLhBBqduE8v28+H02Mixgx8S0houUcTIyG/bVnTsPkOHrHtTW159T2nehEQogyID+NsfAMIXiekJ7nhVLwWguxFQrmuRgNPWMd+oY0tZIsrdZmxGQSjhyAK19Fw21vYfqnPzxrJRtl2UKouUtqW47oGWUn/q5HoU6agwtBZzoOZV8sWPHEF1hcU0P9eKMj57WtKVrOoaPDsh0bslm8M/3Q2lH1YlaWDVt3wOFXTHZXC8nZCSGqXFasO8eW31Xg2iJk5hZBGZXkQB3GU0bYwGRxi6ZUprMbte1qWfPUBNnvPgGvvQFVo8eYjk6074s7PlerWLGIirbXVaKKyzw8ked+92qmMOtE00yRz1lHaKrxmig602rB8ToL+PTtmxb0mhjLFyua+Mosro6O89/WFBXarByW7dj4o8PQajoPql3Mv3Sj1OIVC0JY01PSJ4sWEdDGZhg5Yzo9TCwQZeJ6KZO4iBxUOETcXpDnJVNS5Bw8JZXCHTwp+oBjQzA6jHaL0LEKrtoJO64V4YSXXgDTKqYLefjhU+j/9S3YsAmVagiJcA5ZrsBlDm5QIy8f4H3560yxtTLLV0yR5DfHt/HFxAt0tshrSr2/YwU8Y9BuaE/yX990CX/w5An8GodsS8J4ZElxHd/Fh4uS+OY7ZWyppc2Dcg6tfWn2z0xHCpQb0I4TCoBOjuM98UgoF3XFDrnokynjJromfmeINCjuTTdC0sTxMtOlzgqKRYnhBdncQPUFQnc3kZA6wCmN1r50e/guhd0/F5JdvVYKpQHyGTh6GC7bAmOjYdmN1kZHTzoqGB4UbcC9z6NPHRXrM5gDYpuaQBBhhEIe1m3Ae/E5OHUUDr7MfQ23SvwxKtYgbxgU3FfcwT9urOj9VaFi1uGRAg/80wn+6s5L+eP/72RcqLxCcdER34KmjNVxPsVioJIpdCEnxOC6YYZWa8hMSWnHoVekzm7tpeF7efE5+P4uybBuvByamkTss5CH5tXQ3A5nTpkWMleueLcotX6Blh+EiYxA50oZVxcVFjf7WpINh/eL3NXBV9CZ6UhSxSCZgtEz8L++Vd4qNjQgpGfbYo0e3IceHhTz66Up6F4rBJ01ZTMHXpKfbR1itbpF+NrD8v7SDUxd/Wsh6VVCK6ZUArV9Ow8+dbREelFYCvIufOrHZ+KavBWMi66ObyFTxvRcJRfnYLhQGTZuhVMnxeVsbhULq5RcAO0WYPgMNLVIljfA5BiMDsLkmJBh1yrz+DgcOwR9z0liwklCQ5MULBeLlHzZYlGINp+X37VRPNA+FN0wGaK1EFQ6LcQ0dAaGz6Acuzr5JFOi7BLFmJGzGhsWK9FzZRmTE9JPfPIobNoq1mMuY9rmZPIakxOwv0/IM58TAp1Npt9AWTbHxwozSC+ApeD42CzudYyLHhedxbcQK26+8aVzBbV9J/p/PRkKi7Z3iVWUzQgJWlZJVABAD54Wt3bwtLzGO4r2PImnFU1210kISRzcJ8TV0GDih5bphkAILvDwNGGsLCC7YLv2pWWhmId8VsjLc9FKiQtdDb4v6xwzWdqRQUoWpGWFxJXPCiFOT8IvnpX95bLSb6y1ZJAxmehAfbqQD5VbZpzM8j+lSy+QsIk8ybw2qpUaY+XhoiO+BY2IXILhQlEoy4YNm8SqC4iipQ02bIbuNTiHXqYY9JtG500EV+3QGRjoN8RgyCsoYrZtIYmsIRhtXNoZF7wOSTFwez0fUKFKi52AqUkhVGWhEgl0VE4+sit8XwQRooOPpiZlP4mUWKLDgzA9YbpMtBynuUV6jCfHTdeJiUVqTCuexCObi1NMJVtmkp8GtKbZy+I9/mVs71X4VqVlaohdWTWtwXphoWIHtRIxD928gZb0CpxVeY5x0bm6CxkROVtbE+1daC0lGd4Tj+DOCPa9AAAgAElEQVTvelTGN9Z5iLVKpWVU4zYz12PbDvlbmTo62xaCy0WG7Fim1KRYCK0gEILQpuXLNW1qbjG05Cwzg0MF2V0rkhkN3nzYLibxRsQFnZ4QAmtqRTW1AFpc1+FBGByA/pPiZmtfHh8akG1TU2LdZaaF1IKawSC5AmFLXTEv63Xd8g6USP3hX/zs0+F7pGLd2ucv9n8ZhgbYUBjBryJvJafJZ0N7da+gHhjN5LnnG4dnlMwEYgejmfLvW5CIOTxSEI6PJGJ+54mDTOZmGeAbY1G46IiPjVvR+eruq87nJa5mUNYDG3QyJJJw1bXSy9r3QtUZtnUlv1nWazW3QkOLuLdRAc9Ug6nNC0jLXGCVF3rwq+cZQolcQAqT0Y20tEX1/tBCSJ4bEk0iAY6D7xaF2KYnxcKcGhdiLORgelpidxMTYsUGOn9gYojFUC4/WEPQGgeGvAPfPzgRUsiM9ukkzxd+9F9oLkyGPcm+T3Nxii/2/Q2dVgFOHePB0e+R8t0Z5OejSeHx0M0b5vPpLAof3nWkZqlMIHYQxYPPHJ81EfPgM8fPxTJXNC46V3ehIyKDtqbm7jeRMwKIft9u9Ojoostc5ltOM9d6E9t3kp+ahmd/FAqCglFMoZzoAkGC8pXM3GYnQBfDbQ1mFm7RK7eyogTqa7EUiwWYGMPZcgXFQlG6TQKL0zLutFsUzgok6TVSTxiQnfZDVxrCTHY+J1d6oBhjbjZyfLnRjJHiI790PyOp9pJ6S2d+jE/2fYl2x8NKp/Fb2mBkiOaGRv72zNf5k85bOJpYBXZIpi0UhBDPEeYqjq7cHidizj8uPuKrx4jIRZa5aN/D73sBnvl2OH+ivRPdvQYqymnKyDGfhelJdGYS2jtRyXRp2ND04AB673MwcFLIwfOkzCOwdmY/G4YgIs8r5MJkCkosNrdY/pyZ74xS7M9z8c/0i1uaSgspBYowgWWoAW2SGZ4rLXSWiTk6jnm+DASXGKPR8kMZUs+FlqLZ3xgp3nfj/4Wv7NAYVIqRdAfve/V9fOHg39Pd3ojvhiTvoziZ6DIlfmFP8xkauOfxQzz81stpa5jb5V3IjWwx8CJGcTXEiZj646IjPqB2c/o8saAESfCaYCTiK3vFBXScUJhzcgI2byuf/hUd+qNM1nN4UDohrrhGkqyeBz94SshAa7GiEklxcz2PEmnUsl4sy8hQFSmL3dmmPs/3Zej3fKyfgMw8D6//hJBXIlCE0TOyqkKkhmwClWdliNAkGErS8cG6AmvPdqSEBlUSTP3I6+4vJ70ASuFj85GN7+D/nTDat41N4Hr80ZrbcJVV/llqjQJc3+djX3+Rv361NSuBLagudJEIPo5aONeJmJWIi5L4zhaLKXMJ6gfJTpXH4xxbylOGBqQn9egB4ZCgR1f75RnbbFamg01PMfnSbrRnYmsQXvS+FyqulAbzwIyUrW2Vkx6mBS2o5wsIXCmjw2d2Uc1t9tyw/CQ65zewFKtduFqH60ynQ5c2lQ7LbwJ1aDsByYRkdpuaYPU6MwtE1i3ubbUPQ0h3xDEdJK4H6y+DqUkGnLYZpBe8XwUMkELv/ddZCWwx3T1z9QJXih1saE9yeKS6u+tr2Nhx7hIxKxUx8VXDYspcjHusvSqJD8eWQP+qtUI2UVc6mrHVWjKgB/dBexf58WHoXA1o6OyWzGgua1xVS1q3gkxuifwiCEY8lqka+2A5Zh8myxvU13leaQB5VWgddn0EMzhmg+/JMQK3PJcVonPMoKTgBhMkXlzTc7wuknhwHJOJns3sEcbW+byEAYzogT9h9JwrrWLzu/aBZGL2uO0iwh6fvn0T93zjcM0ER0vC4h1f2VcqW1nfbJO0oGDuAZWfQJOtmM67NKXiy7VeiM9kFSw0QQIR99i2jSWEGbidLVllur0T1l4i3QoTo/K80WEhgMZGGBs1cyxELkr5Gj3QLxd+e6cU9zbJbFumTV9voVDd2gqsuEBPL4CvIWlc5sxUpH4vIIcalkrpeQbFWXTawxfJD88V0g6sStsOlaSdRHhc26jFTIwJ0Xd0RyzKGoXLEaRefzPu1CTKqMpYlkaXlJZnvi+FFmt78zb0kf1CVBVxPJ3PoSrb86IwVvN03uUT/3KSA8N5XM8n7UhGNkpibUnIFuH4pFfWP3xswiOh4JJmxfGp8nWmbXh5JM8HnjzEZ++8PCa/OiE+i1WwmARJyT1u64TBfpgYD0kM5ILvPy4WHoSBG8+F6aLEAT03tKiGB9FBv6znCXE0maLhVIO4z3k3tPaC5EG097Yy+RGUjbhuaG0Fbia+ESqYI24Y7mzuE1lSf47u06zNNjHQollLMEEtmRJCLuQlVqesUvZ2JN1Rxd012V13ksSWK7HWXVb6fNY8sZ/+KQ+FNqstd3u1hpGspnNwAKYm0NNTM+N4p0+iL9tcO+abTDGdd/nAk4fIFH1spUrPdWxNa8Liq7/1OnJTY3x416GqLq2loKhhMKtJ2WBXOVam6POJfznJn96yce7zHmNOXHx1fHWCsmysHddh3f52rLfcLT+Nqm9VBPV43auFqKICob4vXQtgJKQSEouSA8k3P7jY/YgV5HliMTY0huomEBKCMq0R0Qsl+FX71TO1ymwL4nuWHcYQgz7ZGaSnwqLnuWA7YT1ge5eIDbS2h9qAQbIln4PxMYkZ5jKynkRChElBsuJDZyCXh3yOT77wt1jam8m3WmNpn0+Oflek5yN1lh+/bSOOhaG9irWbZMr7LvmPjJw6A4VC1TgejiMxwCoI6kI/8S8nS6RXdiqUIlP0eXCXCC/MVbaS86qTXrCvA8PnuHd8BSEmvjoh6AKhUBSLrLkldA+TSbhssxBYKgX4RnnEg3RD2GYWqCAH0lJJc+EFtW4BWXq+kF/XqnDmLZh42BztTQGpaT8Sr7PChEa1C8+aww0OYNvQ1h72DHd2h0XL2rjTQSxRE9b1FQpChFMTcGZAiDNIIDWkwfNot4t84Rd/RWd+zGSk5V9nYYIvnPwq7e3NJen5QIiirSHJw2+9XM53NQvWaPrdf+nbQ6GHSqy/VKy/Kt09QdjjwHB+VsJ6aWCK8WyBgg+uLv/nLaBUxY3rWuqG2NWtE6LusT52UNzS1jZxfY2Muh4dlid7PmzdJt0Po8PyDxMfDJr/tY9KptEd3ZLw6FolCi5TE9DRZqyjLulEGRyQ50yOi2UY6OvZkb7eatZfUO4CQkS2E/wSkiKELvNcLnDQBWKZYeNKhSUsgcUVTFFLpSQDHliTtiMueNGV7G66Uchvy3aJiY6O0J4b4wt9fy3vr7lVyN8zN5HuNbLEioSD1OkpQ97VPjjFlNMIbaurbEQ+tw2bUFfsrBn2cD1/1vKnvOtxz+OHqm7TCPnZ8zCmnbiupW6Iia+OCOoH/aMHqmc8g8SHbcuFYrKP2vekdCMzDYFoQEMzVls7ftGQQXuXEN36DZIpnRoX5ZMggZFMQzJrykRsIUK/0tJR4TqCObqeB6poyk6Mq1srmD9r3M8QS0urPC8QFE2lJZETWHiB9To1EZHg8kCbTg9lCqXzObF8BweE4Bqb5H01tcDxw/K37UCXTH4rI54ZdZYq/FEzd1Pb+VGpBqxZ6kId28KbxRrLzdHhqDEVPzZ4WmMrha/1jNcllGY8W5hX0XWM2RET37lArXKYtk5RLll7afnjjiMS8y2tUmpSGtKthNyUJbEv7cFz/ybqxNqUhDQ2mT5jL1KU7IXuchkBR6w/24q4mxgCNUXRgQp0oGZSC2UDyLUQcFMrdK+DI/uNFVeQBtVgfZiSmELFMYKeYKOkTLEoVmN0YLnvodZvQE+MQdcqqYushhl1llb43quRnw06l0elq9RnzkOlZ2tXir4z2arurqfL0yq1zmbKgf9+x0Y++tRxpgo+xSoGelHDPY8f4v+5bS0fe+o0xcjOEgo++2uXsaalhlxYjDLExHcOUKschpZ2yBegpT2UlB8bkX9uEbpWS5JjfBoAP5EQ8jB6fOx5HoYHytvV8jlxq1va5GehAJYrscNctrrlWdbuZi5JxwmvyiBmqDWl+Fg1Nzc6g9e2wEmiLr9C3ltmCk4dMz240UFHhPtS1kyCVUqyzJaR6IoicMu7VpUk7Cuh83nYsh2/b3epNKWZa8LBRDPyNjKoiKEBdPdqVDpdtq/xplU80NfASGQkZaW81EdvuKQsqxvA05rGhEXeC1msltH5d2/ZQks6wWfvvJzfeqz6MHbpOIEP/9PpGduKGu795jE+/+sx+c0HMfHVCZX9nCSS0NyK1p64XmOj8s1dt16I7hevCCk4liRD8lkZ0pNOy3hFBXr4jOyne5W4fIOnjYtq4mIK+Tk9GSZCUinwHMpUW2ZfeYVyS6TY2bLkSlMRi6n0nMjfgXyVIpzNcfkVohQdaAUmEuExPM+41aZfN9AORAtht3UY9ZlwiUxNgOPIObZElFTnchVElRPL+NRx9NhIqTTlM4m9vLd4bfi+ou8dzWcSfZKNb2mTx0wcb3zDDt7bl8avOI+BvNTDd22mozFFznUpFH3yXvk539Gd4I/fsJF3P3agrCWt0i5UUNLca0o5eHpe+fOq+L1vHiNhl7vXaRv+6s6NrGpuWOReLz7ExDcL5j20qFo/p1ss6fpJzZwJ2g8OwMsvikWUSEBTJ6XB3paSAH9mClrbsJpa8WwbDr4iNYAlBRM7bPcCcSGnJmD7q6T4d6A/LJ5eKBRhTV0wgCjhmCxw0LkRLSaOlNM0NksJitET1OlGSJs5H53dotkXaO/pyAGDpIpGYnhOAhqU6PrlsvJTKejsouSKJ5KSbW1uKRUsJ1/1GjKjo/BS+bDxzjR8kRe4L3MFU1YDQU1zM0U+k+ijMw2QhooZvg889vIM0gsQyEt98lc3cs/jR6o+p2+oSM51Wd+a4vh4viqZaWBtc3mJVES7ZsHwmNl8k/PgfU8c5QtvickvQEx8NbCQ5vRa/Zwkk/D8j6XLorFJgvyuK3VrliVu6ZnTYQeDbUNbC7S0SdbwyH44fVKsxXy+VMwrs3CN/FNATlMF0Q9Mp01FbJ75WXyVb1zPdI89V8g2FQwFqnBN0ZKF7Vol2oGBC1rKKhuiTKWggNm/eb1v2uTSKUnQpNMS75waN726vhBjKinJn0IBmttgzTrJrm7aJokHINXdjfrHz1UdNt6Zhn848hg4du2YXUVSZD7yUh/89pFZn/PBbx/hK+95HXd96V/FeI5s04jB//HbyouSK+3reuEPnjzK/3zn9nOw5wsPMfHVwIKa06v0c5bGKg4NmnGIyAWfzYZza0uxMz9MLIyPiOUEQraFgumAMK6nH1hMOkxOBPvyTcGzO0/FlbkQxOJ8DX4xsl4IL00NGEI2lpk+0CfvcWxELFHLkphcdlpECHTEXQ8sONeF9kbp07UssYanp8SCVUDWnB/fkN9qM52tolc2HNkZiaFOjgupmUyxbquSCYZFzViZmkMcOdjekYDBfDmhrW5QfPL2zTOytGuabdNxUl/MlV1eSVjWxHeuddBmxQKa06vKWAVjFZUW3yWXDTsagraywIILCp2Dcpe8cVG1lovb9cJC5qoqyybABqYYeBEubjXoKLlRXuQc1P05TjgQaGhA/m404y6LRUpqL/mc6SvWkcQGYCXEQnWSsH6j1OP96w/Fqmtrl1q/QK7eknnDODYcPSQjL9vapcd241b0DTebkZ15o3hj5O6D1kHfF6txoB8mJ9Cbt5U+t3M5Y+U3vvSvFKtYeyP56jenj9+2kXseP1TVQoxRHyzbzo2Sq7n3+XMv/17t+AsYPVl1zsfosBBQNisX4PRU2BsL5a5iIMgpD4T7CIYPrVknAf9KSXbZUfgzmykvPD5XiKo+B10XrmvcbwtGhkMp+bZ2IbXMdKjFFxQUK1NAnUiJhTc+KuRZLIaKLMqSEp9EKlSVyWZkgHkhX8pc673Pk9n1dfRll0soIpuRdUX7pR2RziebKUmFATXFJyrloyox1/YAlaQHYYb2Y989OuP5QcfJumY71FwF1jXbfPpXa5TwxFgQlq3FtxgdtHqimiaf1r4E78dHxOva9ahYGpddDn2/KFmIWvvi2nnFUJHE82R/vknZaRMbUyZREbSQpRvB89EH+nAHT4u119Iilk4yCa5V3aIrGw5ORY3dOUR0VCWI5ZeZlNKalGnHS6UjSQ0dxu0amyPF0iZ2OTwo7X5l7y34qYTsLNM3XMzD+Cj6uZ9AIU+m7zm4bIupfVRCisH+tS/k2r1aCDGZgJNH0ZPjkn1vaiqJxAYK2Z+6PMt7+xL4pXFx4WIsRH7qD548PKe7Wytmp4CBqeo3qraGJJ97y7aq2z7/60k+8K1jM+r4fD1T0iqK9Dl2ki4kLFviW6z8e91QUYRcJhgKEmMKkh3tXdDRgR6VEgqGzoRJh4YGuQgz0+Ua44EGnu+FJR+OLWQ5PgotrahECl2ckulmOdPJUJayUzMtyNla1M4HgvfdYfQDXWNxBaEJ3wOM25nNiOhoSQQBIffOLjmHti0EaRVD6SzPE+svmzHJHV+sactCZ7Nw4CUh1JLlq0udMCLuoOQmYtSs1eVXytNct5S40jfdBj94iraRIb6YTPFA4SpGCL+LnSmHT/8HqeP7yzs21czqzgeLcV/XtDTy6LtmJikGp7K874mZFmSAv7pzY81tKw3LlvgWI/9eT8woQg4EQ0F6Q7tWhYOzD/RJN8baS4Ugx0bE4ikW5eINJqIFPau2E86oCOrykqkwxtfeDvksqqVViKNYFJdyaqKC0PTyC/y4LugiDJySv4MhSYFaTKlI2lhsk0ZqvqkFrrkeqaPLyetHhyUDDpGiZ2UCNLbZh1uy6pSl0IUCpFwhx8Ym+awqEcQMkzW8iae/BVOTqFSKduCLqZdKz9H5PGrHq7FM8XJXU5qH37qJD377SJnl15yAv7xjE++bByn+6feOlnT8HNtia1eKj95wyYK191Y1N/CFt2zkD548GtfxzYFlS3yLkX+v6/ErNfnGRsTiau+Uso0jB8XqcGy5uEcHobkV1bkKvWU7oOHffiJkZTuy3kRS3NR8ARI2eEFNXqC+nBN3zLZFz6+lVazJ6UkZOu65FQW4yxSBm6lM0kMZtRY/0kPsm/ehkRhg9xqx9lZfAt99XEIADY2G9HOmCDop3S2BuGtmOpTUCmBX+HOuV972FijcaOSzrFx6KoV++RehJVhle6W30dWU5pGe6mUis2Vog3vAnv4sJVlXz+f5/izvevQAn/u1Daxrbaq631pY1dwQl6zMA8s2ubGQ+bjnClFNPrZeVRr2LaUZmfILyvNCi2FsGA6+LPEtzzN6cwWxUBqapCC4c7XE8xzTZRFI8tqOZCKnJvBOHYMTh8Xycd3Q9TNySjXFBJYSQfLCc8PYplsUUvPciCuuI/E+C7Zul6TIcz+GkTNyI5kYJ8x+m/03t4RZYrdoSoTk/PqumdSWmZaukalJeW5QPuR6EnpwEmWKLjOwgMTWXPj4bRtJWDMN85LhCyHpVeD93zo+Y/h4jPpgGV45gkDfbjYdtPO6nqiFOTZSTnoQWhrJhLSenT4pF34yJQSXcIxclC8XXj4X6ueV6uU8se6CEoxAGLSQN8O9I8mLktryMoQy/wUkXXRFdLRgiqqjVmsQo9u/T+Sn9v1CLLGgkDoYShR0dIwMhXL6iaD/VovbnJkK2+LaO4Ukg7hoIgmr1sAVV8Mll0GklGUG5vImFuBttDUk+fpvv65qhrbJoeZcjgDB8HHP1+zun+axvcP8jxcGeWzvMLv7p2dVhYlRG8vX1a3HfNx6IprsCBruA7ie9NeCxAIVclGWSc+bTg20UVPxxYVzzb7cSNYTwkyvVywP1LuesfioT5FyvRFo6wVZ6EIhHGJUmpNbsW7fg2MHhNzyJr5XyJuET1L219AgcdOJCVhzqdwgpifD5ykZaD7lwkNXvovjqW48ZWNbmg1M86fXpGi9VtxTv283eu/uqh0eOp+HK1+FnposJbYmCvCH+SsZII2PwkKz5on9fPy2jfOSiOpsrp6hfedX91V5djlGchrP13znlVGGMy4pR0ly2/PZ3T/NiYk8t2/rwI61+haEZUt8wFnPx63rWiLJDmnFMmQUuE/dRshyfERar7pSMkcjnzUadwoaWoTskmnJ3AZZWa+aQrCOjHDU5Y8vVwTut9bG0jIJBM+NiCBUPD8oTSwWxWLzAgFV080RJIayU8BauRE4ttxoGhpD6zifZUol+d3rPkjeTmKZ2Rc+isM0c++LPn93ZZGWdGLOYVLcdBv84LvokUEmVYr35l+Fi4VCGXkGi/4pb0FDyavBsSP91rPgX46MMmJIL4qUoxiadtkzkOG6dQuLBa50LGviW04oU1jOTMKpE2IxdK4qKSwDEtdbvU5+LxTDAUEaubDzefnnBjV+lrSDhUeKlLzY1d3ZknbeMkPwfhwn0mLnSYIm6NoIWvMwP4K5ISXpfUfc1kq3vliU2GrS3FBaWsU6BBNmUDx09bvJW0J6UXfaQpHH4sFnjvPp2y+f1ZuY3rydB58+wfGxrXj+5XglZi6v44sWIFez5oanczUzvV1NoiiztSvF8/1zd9l86idn+PUr20hWuVxTjuLgSC4mvgUiJr4FILBA9fad0j1SxWKguU2C5toXcjxzSiyeoKshKXJVpYynG9SoBS6uCmvePLe6gTdj4PcSu75B6x3I+pNJU7qiS/JcjAwK4VNhvUa7UWyT4c7L4xnl8Kkd7+JA62W4loPju2ydOM4D+79GI0i5SlOzWN22w/GGtVhWOekFsFAcHwuTZdW8iclckd954iB5N8g1lWclKvtmahUgD0/nqtb2TRXhnseP8PBbhfw+esMlvOvR6tp7ldj1yjhvu6ar6ra8u0xjvcsYyza5sZyhLBt18+2oq18dzodNJOXvW/6DWCIvPidjJvM5k5zwQoGBzm7pxggC/QE5NLWEVlJp1GPVFVT8qWaWdZwPRKe8BfM73KKU8IyPisXbbmaGWBY1R4yhjBCqLsUCM9j8p9d9hL3tW3BtyXy7tsPe9sv5T9ffR2Y6J0kmrUtD0T1DeC7gomb8K8zBDw8+c7xEevNFtVvNfBRbQLT3PvdrG2Z9boDiLPe0lBNfxgtFbPEtErXij75bQD/ZG4qG2kbLziK0+EZHJMvrJKWtq1AI9e8C+Xg5CjMuLSch+ynmKe/cIBwyFK4ysvEcILDWAmvPdcOavWJesrWHTADfsmpYpEqGqSfT0tPsFgHNp65+NxmnAVuVv8ZWmmk7zac23MGf7P9qeCNpbMLWmoIVdUsrjoNYY4GrWYnZxj/WQrWnz1exBWBdaxN/f9dm/o9vHF7YgQ3yruaqVdXfT4zaiG8V9cYrffLTdiJ9okoa7G1bYlfFvNT2JZNhnVt0mHcpY12FKIKh48pYSU7SdDAEIxyj0NX3UVeYJEwww8MxMTrfB/zwvZXc80prFWnHm5oQl9WQ6YHWDViq+tptpTnQfIm8dnpKrMtVa9jo1Cp4D485mzU2jzxDGTRSoHy2CCTs50Le1TP+7m5y2LkmlppfKGLiqzeOHgjd14ZGMwzIdGMEoxYD/b32TnHTAtILylmi/bzBvwDBYJ7ojNrSkKBzQHKzdooYFzeZFCsvKA8JLMHgtSUX1rjDyVRouQblLZ4bhgIA15rdGXGVLftobJK4qrL4b2sGMaZ1xb8Qs1ljdpWrodYFoqkuIrpYNM8jUvGDw6MUXVfUymyL69Y1xaUsi0RMfHWGLuQNyUW+jE4iJKVSZ4NRIhkbiyQBWkTJJJg2BhWDgSJImMJnv1bd/3wwjwtmVjLVodhAPi8ue5C9jSYuLMm6SvY1QoKBNFVphoixHH0PZ4735WhjKVtKbh7Dg3RvP7tWrQ3tSSrrgS018yIJCpBrlbLMRWLVtv/lHZtmfY1CavqeeHmcO65o421Xd3HduqaY9BaJOMZXZ6hkCt3eKe5X1kjMJ5LlnRfFohBXLkOJIKYmzQ5UqEQyW2dGXcpZ6mghVspTRY8RuLkFE5e0lLQsBOejzMeUC3nrxDH62rdUdXc9rdg+eVzOW6rB1FI2krzmevj+T+ZcasH1SVZJCDx084ayrG4UDU44CW0uzKXYUo3kaokdQHkhzWwlNMsNk7kiDz5znONjBTzTmbihPclDN2+Y13k8l4gtvnpj41aZGdHZHRbigunLNeUaSdM+lUiFc3CDeFx0Tu1sKHN5L6SPURvhONN2Vm07mgf2PkKjm8XT5QzkaUWTl+OBff9TzmVLq0iEXXE1yrbn5TJ+6+WR0u/D0znu7t3HWx7Zx28+dpCsa9rIItU5G1ptWhKK9zx2kLc8so+7HtnH+5/Yz3i2ekwxILHKtTQnKJWy1HrdIz3bZzjrUdQqoVluCEqDDo8URIJSycd+eKTA7zxxkMncHBmgc4y6WHw9PT2/CnwGmV/1hd7e3j+rx34vRJS6ArSWEpVTx6Rp3vclFpVKy9AdZYVJiqg7qSzQ8/hiB9lbK5hbcU7ezrlB0I5X+b4tq2QdNuLy33/2CT519d1Sx6dsHO2xfeIYD7zcS2NDAq66DrVmvXRcbBILaC5r64qOBHsGsrzt6tr1diAlMQ+/ZROOZZXJwAd59rk6N6KKLd3d3QwNDc379Mw1Ze1C+KhrlQZZCvIupWLypcJZE19PT48NfBa4FTgB/Lynp+ebvb29fWe77wsRM7oCVq1FJ5KisJJIwtH98kTfM2KaJgYW/TZXG94980iUrMQLrVE9IPwSzHupkM1vxOVP+v6B8uFGSMbcteD0KXRrO6p7bUm0oqspzbb2BAfGiuWnFNjWkSCRcCgYaar51Nu1pOwZsy9kfxrX13zs63v4687DC5oFky14fOG5AfaeyVJ0fRKOxdWrG3jf9WtoSNpzTlm7EKJ6s5UGWYqyYvKlQD0svtcBB3p7ew8B9PT0fBV4C7DsiG+24UX1RGWNn9+3G987EKkAACAASURBVD09jUol0Xak3SyYsKbsMLangv6AucjMbF+uCi1zQVf8Ue3tWpZkgPP58htBY5MkjCZGZTzn295TRjjNDUl2JGt/tZNGWWc+9XaZYjUtvWAtin7S/MeR7XgjCvv5fWzoaOChW2rHsLIFjz/87lHG8h4JS/qJXU/z7MlpDgwf5c9u3Tinhl/lHN65iHQpEBUbr4alvlfXIzh0CXA88vcJ89iywpzDi85l72tURr+tMyQ+x4mUuJg4n2XPv3UgiO1dCOKkMzCPb77vh4o2AZyEkGHXKontZafD2kmDnWsaKLjV9593NTvXzF+JeOZtRVesXuEbAQMfxeHRXM0Y1vB0jru/tp8j4wXGch6DGZfBjIvruSQsxVhOCOzjt23EqaHhV1lCExDpsyencT1dRqR/+PRRsoWliQdWKw2KYqmT0fWw+GrdmMrQ09NzL3AvQG9vL93d3XU49PyRf+HnFPIZVEdH+YbGRnRuCu+lF+i+5vq6HEt7HoUXn6N4cB/kcxT278Xq7MZevQ42bKKYz+JPT+El05EB3VASItUYlRKnSl+uQUmainm6xhcoZkyN09KqlpnC2rgF27JJDvXT3P0mHMehu7ub376hk2OTLzMwmSOVCC2efNHj0o40v33DFVWzutVgV5zamWe53Dq3gIIH//WH/XzxXfJ9chwH12nmnsery1CN5qGrQZNK2Lw8VGDLhvV847e7+f1HX+DURL5U2rm+NcVfv/1aOpvDmOKfPf0KE0W/7H0CpGyYKPg8snecP7z1iqrHDc7XucDlXY3sH8pUJThfy/Zqxz6Xayo7Th32cQKINhxeCpyqfFJvb+/ngc+bP/VCgr31gP+Lf5OyBzdTdbt6ZS+5tZctat9lLnQ+C8ePSDxv3aUy3LpYhONHRatv8zZYvwFe3F0uJe8YwivkQ/d1roFB0da2i4X8gvo+X5e//8pYaD6Pf/QQ/mWX446OkBsaKksifOC1XXxz3zAvHjpDPpMlpV1em8xy57oOxkc6UZZkgGdzd5sT0JJa+HBvBRwazpTW0t3dzW/9j2dnfc1w1mNVoyLreaXX/dWdm2c8z89NMJQL/372+Cg24FdpO/Fdlyf7zvDtvjP4CCl3JaEAjEdCbJ1pxadv3zTvDpL54I///bqqpUG+hpQj26txwEITQZVYv379vJ5XD+L7ObCtp6dnM3ASeCfwrjrst66Yc3hRfnES3yUXemRIlFqGB0UgUwO5LHrzNunQOHNarLuhM/JCx5EMbzAoPJc11o2Wx3wvHERUjdCij52PWbp1R604ppYWP8dYu5Yd/ix7uQpFSKsoIicszW8M/JS78kOoyAWtXzrC6LETPJDZNmeM7y/vmJnVLVsnCruGy14Zw5rrWKV1z+IjVovljWSKNCctrIqSpqLrEs0fKMRtH6ySUxjJ6Rm9wgr47J2Xcklb8/wWXoGWdIK/e8uWUh1fIEm5sWN51PGdNfH19va6PT09fwA8hZSzPNzb27v3rFdWZ8w5vCi1uLtdMP+XZEKmrh3cJ0RmKdHfa26BVWtFQy6bEaFSkAs5GJpjGdXiQKFEKbBN075mfuUt9cAMkYNziRrWadDJEQg2WDoycL2yz1eJMEKV+Su15jKPk+K9o5vxMWMu50Aw3Ptj3z3KwJSHNlN2NfJln3krVaX/3//Efk5PefMuPyn6mmvXVe+7rZUUKXgwmvXpaKCM/M42aaqB33/yBH99luS3lCUrs0HppXGP9KlTM7zhc4pAbjw6q7c0IHx4kNS6Syl0r1lQWQLIUHFdyIUzd8eGKGs3S6bgdTfK30MDEp/yzAyK7LSQ3fSUpMEC19e2wE5IS1ZUuHMlIHBpFaH6dCIZzusNYpvBdLot27E++Ccoyy5zk/xdj1a90b138ipGSFG9PLgcjRZ85X8vb4MTC38XHzm9isM0Y80gYwtvkWWVm9qT/NmtG6tmYv/7T0/x7MlpEhVBs4m8S96TmF5rZBzlYCaMDQevWMyaFPD43edvaludXN05IxMrpmWtUm68NCB8ehKaWrHXrBfX1AyV5ubb50V+upAPZ+46dth4D2LJFfIwNCDT2VathfWXoc+cEqJzHBmeUxQpplL7mmtk161qFV2m57VW0mM5wAp6D3RFuU2le1vF3Q0mr+nIJjtQtjFEGMzqXWU6Nqp8TrVCGzIYfH4Ru0xF2CxUVd6KOI4an8Dykzirv0jSs6Em6QHsPZOdQXoAzUkLN+tTK3l7tsnTi/WWeyH1Op0VZoiHDg5IqcTaS2XilvlSBSMi9b49NfelfQ+/b7dYFQdeEvc2cFvTDeVBedsWKw/CsZglr02LhFNlF0OAqjV6Mwt9lxUC+XnLxN7SDWbammU6VkzmOpk2OnypmWMytQ7nlJQNYjf1jkHGOykdMLrK+VA1J6EtjgqCLo8wVmchdGXhYckQIgWbO5OLOooHvPNr+7m7dx/D07kZ24sRlWXP9xjNSinMcFacdg0o7aPROHbobseojhVj8UF5YbG/69FwNkbl86oMjQ4wI5nR3imjJN2iWHdtHfLTLcq3sakZPK9sLKZ+ZY/M3j0eBJTnU7AcXcQyvg8HasyK8Bwkk9DYLNvGR41gg0n3+ZWkb3qPg77mIObpeTJoSGshveZWSKdhchz/e0/C2g1MjQzgjY6IUAQK8vkZMb6qscJZ8P5vHqTo+gxlZ7/ZNCYotai95ZG5p6fVQqU8fYCEY+F6Wkgvp6t+W4oaPnvHZppSDu9/Yv+Cs9H1RP/ENB/41nGiZ80GPruIIennAivG4quEXuTQ6BlB8+41ZlwkcqFnM0KGKWPNNDZD0sjS33SbWJJHDpgh4cWFXocRnIevdKCZNx/YkRnBvhfOBFaICGvXmlCQwTfxzECSP0p8jonvBY8lk0KkqZScz1SDWOzBPIxkAl74V/jRd8G4t7qQhyP7Yc+z6BefQ+/vQw+eRmtNJ8Hcj/mdv6AoeC5Es7b1uKgq2+muXt1A0ddM5KuTnq0gU/T5xL+cBKhZBL0YTOcXFlbpn5jm/RWkB2LVvv9bx+mfmK7Dqs4OK5b4artCBrW2R7swQC6KzdtEdDTI1NoObNoiSY3NV6Buu0tijD94SmKILW2SCAkymFHRznnjPFh9bjVV5yqwHZHZisrLJ1NCWrYjMzf6j4nKcjBnBIy1V7F/FcRJjWSVQrLanic3kcYm+dfaKuf64Csy2yM7BSDiEIf3S3gh3SglQwopJzp2mE9eBdY5/tqvaa5V5DJ/VJa/vO/6NbSnbWo0pJC0wVaKA8Nyww6y0dFB5hawKgltC5iGaQEfePLQgsjvA986flbbzwdWlKtbhuiA8ArofB61dUf5Y6ZIWfftFosmCKhrHVo4yRQ0t6K27Qj3E7i3EUtRd6+BA/vMYCFzgdfdfV2g+3w2sCzJoDY2GyUaLXLywQAi25GhS6Wh4oRWnWVHYpwmo21U69FabhBaA54kNWynNLJzyknzUPO/53jDahkePgAb3DEezPbRbPpxUZQ+S53P05G2ePiuzXx41xFGcrOfn47Fjcvl47dtLNX+1QsNSZs/u3Uj7/ra/iptdJBzIe2AGykgbGuoPsg8QJBBPTk+xe8/eWLG9gSQcFTJkvzTWzbO3EkVzBWBXg4R6pVr8W3fiersloRDBFGyKj3me/jfexL9w6dg+IyUpRw7BMcPyd8Abe1ygQ6dFtdqfx9MT6LXmEryiKWolJJe01S6PMalFmP5VcCyxPoMpK9UkGE9hwjc18wUoUVnsrOFPLgFyVJ7rnFtI+/Z98L1pUxooKklTGpoPyxvKeQNwTYxRYLfXf0bHG5Yi2/Z4mGjOGy18bvr38EUiXBtBkHstqMxxZfediVP3L2dL79tC1s6kyQtcBQkTXiyIyntU/NFVHuvmrUVxXw/jdFM+XezIWnTkKj+ag1kXb2oHthL2pppSVqkKtigCGRcSVMHluTFghVh8dVSZeGm21Cv9EkiQyMjIrfuKJGe37dbXnPiCBx+WWrrkikYz4QX1PRUeMEWC7K9vVPKVwD90gvogVPofLZUdqG1b1xiWwL0RdcE7jl7jvLNvkvuYj0xR0VYIClfuX0uAYiGRjNdzey/NGxdyXtQygxVMmrWmWke2vCr5C3H3LnDE2cpRd5yeKjzFj4x8hTYdlivOT4CrisWk6nXrFZk+/5vHsT1yt9DqwMTs3h7larKUWuru7ubX/2bH+NFrLFMLZ81gnu+cZiH79pc1krmzSFrMl3UjGcLVTUCofag8+libf8g7wPFC1QFqAYueuKrzMJGVVlU/wkpcdlxHc3d3eRM4eSMzG3/cSGnoiuxLN8z15nJSk5MhD1Kre0SXzLEF5THMD0pqswgF2HQmlTq1DAfRVCwHMT+SpJNC8z6npNujyprCLK4PnLMgKjmZbma9+cWTRIoJTWNxaJsam6ThInrQkeXIa4i5LMcT3Qa60aF6zCwlOJ4olN6szu6wuJyx7jd5vOvVa959eqGGcXCqaRDK+4M8mtOCOnVUlUOUHB9IZAFwAc+vOsIX3rblaXHivP4WGsJpM426Hwu5Bfw9bOZ3Z1dGqGsclz0rm6t1qXZ6vVmvCYzHU47K0asEbco/3LTYu11dIWlFxXHQoHOm06CsWFpYQuSGkFPbsJYlMmUHMOxxdJZ7LDweXafLAqlshXTV1spLKqZR9zSbC8WJFTwSzfAlVeLBdjSJvL8m7bC2vVyjto7hSA1eIELX0oQle/XR0FDgzwnKC53zWQ7Zv/8g0RCscK6shybTe1JvvqObTxx93aeuHs7j/Rsn5P0RqYKCya90murxCHnuqW4Pnxk16EZj88lvFovfHaOIelzbT8fuOiJrzILG0WpXm8Br8GyJFDva7FGEiZzmc2IZTg4AGPDpnwi8m1v7wxjipMTxrIxSiyppFzoDU0QiBQkzMhG2zJu4HyhwoJhJzFzPGW9kEhKjBLEItM6jCkGxdnzSdgE1u6rfxmlLNT6y+Dq6+CXb0Jtuxq1eh1svkK092xHiG/tJTJdLLgBReOYxlK20JJtnxiVkIIZSET3mvDQNT7/IJHw2kuacGxVKgp+7SVNs3ZX1MLvP/rCgp4/G2xLSlfmwpksM2aCzFco4WyxrrWJz/3ahhmWnQ18bpnU8V38ru5cqixV6vVmvKaxSUoxlDWz/zMYpViqR8vL88+chslx9OZtckEn0ygjSa93/9TMkdVi3SUiJGtZ8nhrm8QP///2vjVIjus677vdPc99vxcLLAEQAAHiIT4tK5Ijh5EsExIpSiLdkixbtmiKcZXoFyPHkeXEYip2RZHNWC46lVAMGbtER2xTEmHSZiy5zLjKskmLD5AQQAAEiBfx2MW+H/Ps7psf597pnpmemZ7d2Z3Z3ftVbQE7PdNzZ3b6m3PP+c53UgtLq/gyeKTX1UvnSQdbcoU/J/PWkssKUwVxmyRXwxCRcAj5g2xt0zQwzQB27aH86vEj4EcPF+b0MsYodTAwTMWnfTdh9FwCZ6Z89uaMGvc5py3i1jYOFo2D2zYR5uAA0D9U/lmooNdMRHX8ynvCWRzVwqW5xhUGRrujODMVzoGgmdPYNnW24Tur2ONbL9Z9xLcUvV7ZY0au8WQXdl7IKkTxwHU9HZuMcpLttLUSNlSyVY1pOrS9N1IEE4kSQUZKIksOIlHbJv1b3aTHPWeTbJoinYV54WS8XJTk7hxHbMcNb6JcvkqWvGypcq0u+JGXwZ97Cu7/+Qb4zt01K+4P3TaKmFFu/yT93h76yG5oB+8BO3Ar2K69YAPDwV+AtT4fDYDUcS8FvfHiR8rXHQaNnMZWuo61jnVPfNi608utlaDQO1vlMQX3Gk0XA7PFhZ1oIz1ZJEJbPtmXGo15n3Ix6LpUHoORUSIKKdLN58ipZXaapB8MpINbTolXXuQaoy11I0wNSnuK5YjLvGjX83sIhjqfz8xB9DPj7EngL/6UKu6yr1o4tLB9N1ExStMLfm/be6OFqE9jDNt7o8Xzb5fy928w5PpYwE/VxwF4+OC2otvk6w6z2S79/gkzejPsOtY61v1Wt9SVRSJIr1f2mMlxGg+ZTgHdPcIVZEbk3nRg+x5yV5EXOueUSNeEk4iuA129hYu1cP5t14EfeZW6DaRNlStyZJpGZJrLLJ2sClVg7hVPVgpy+Hkk4omx4wlg0aktp2GaaEnTiTxTC/RlcvEccPIYRccB/dISpVKUIEujpfz9G42RzhguzGYrEt1AHHDAigoZ1VyRO+IRPPGJa/HZ75QXMPwofb5aozf/6OAm/KcXroRex1rG+ie+0nGPuSwQjRX0ekGWRvIx/G+eEbksnUhs6w4it6tj8o6egzJAVlObtxY0fAAoUil5DrbnAPhrLwJvHhYRYoIiPriAawOpXHgNHtOoX7VoW+j7rl+VKWzcy31K8tYY4DBfA0nA/jcWp9t1URWemxEuNy74974LR9hTsQtvl03Fq2YZVqrbRCQKtHeCcwcsn6/596+FqwtpPPDcOWR8O8m4Djxyx1YMtJcPMvrv99yAjz/xz2Uuzhw0POgPPxw8m7cauhJRDCYYxtOV8wpDJdPY5KDzIB2flOQ8cXdXXetYq1j3xAegbNxj6MeAAyURAeeccmbSTbmrF7h6RWx/i6uGpa1v/gsSyaToRBDaQLltlBZLoWdocLJ4sl1h1tkgolvqDA/uiiKKaD+rKF4WjMhEW9vigtg254g4pyeB558GoIHv2gMmCku1/BIDdZt23ovwbg/ns1gJVxfSuO/QubLbMw5w36FzeOyucvLrbS91caZXP9yu46sf2lo36QFkHDDUHsV4OrhwUjqNTWI5g87XEzYE8S0VQRVhxhjN0ZBuyn0DpPPzDRcCyrdSZRekblDP7sI8XfBpmQgSnQ9hIzWpY0smaavYCo2Q+RytKRoHkBeEXEqinDphIhGxbtvr49UNYG6WZENdPST4LhWEHz9CX2alZ62h26z0uLB44Lly0is9/tSnyquZtfpm68Fi1sYXnnsbqbyLuAZkSj4qw0mG/3r79iUR6kaBIr4qqDSnoyCvGLkG2sF7iiM531Ya1+2lC/HcKfCL52gQkWGAL8zT1ja1SBe+9KozIkJeETbSYp4BgGz5Khgf1PtifRHeUs/hh4xgZUcKA5G063hdKY7YbzmiX5dpQqhmeMYP2QxF1gPDFG2LLxx+/jTcc6fKt75hdJvLIL5MjS+WWsfrxWLWxtd+cBGnJrOwHReGroFzF1kbiOiUSkj6SpQO59jUFVekVwOK+KohpINL0Fa6rO1tdoo6Nhbm6MJPtFF+MJshcs3nK1jN14Bjg+puTNizN8CRhekIGqVdN3RhJKrpnjmptJbXpPwlJSRBuufWHIlQfhCMJDlOu2c3lU5RzhUo2/oC4XWbQYSysy+G33zfZrSF1YusMPyRnS50io7LIcdp6JxDK3mtfmuqaphOZfFL33gRE77ZHOu1kBGE9S9nWQbqcXApRdmWa36OEvcAVXDzObrApf5N5vZ0X/4p6AIu9MEyTzTsup7Li76Ui9b3PJpGBZZlg1HfsmYAHZ2kWZT5PCNC5NXeQb/HYnSfaIyqut19KBigupzuMzFWTHrifSptPQuj25SEcmw8DcflBUI5Np6u23tuJfG1H1wskF4QshWiS7uGkcF0Kot7v3umiPQAao+797tnylxh1iMU8VVB2ZyOAD1ZRZRuuXIZYdFke07N+Tw5Ckdj3gChSNRzGA4SQHDZCsZ9uTMhps7n6mxvK5zUM0voHag76AyE7BgxRFtZXtjGR2NkO5Vsp0JQRxfQ00+moX0DRHwMFP3lsvQ+zc3SXBMp6LYdOrdAUetZCN1eJULRGStyMQ5CvEZdpNbxenBqMluR9IDKfyajhjfVg8+frRjPS2OE9Y7WiOmbDO46yL7+Q7hvvBIom6i3IgwUb7k4d0n8LIfm0I1EVI5NRYCBYWB2VkQyOTFjwv+NXNCFeNA0TzMIIR1ZiuiZaSQt6e0XszC05Q80khPk4gk67+RV0uwBFJ0KM1HqXokBC7NEaIZOLzObJbKMxug+6RRVfjNpYHgz0D9Y/HxiC1ukwZyfoRSDI0ZTbt4KXLcXp46erUgotbaKj9yxNbCq6z/eKNiOG7htD/gkFOBwjt19NUwTahiwTmU4PvWt4y25/W8U1terWQJkLi6XWQTkBy2EbKIWigojV694jfyu6yX6Ac/Es6Mb2LqLIpfpSUE+suDAyj/tTJBe4Rj3dIWVZg0GwYgQkWzeSuR77DBFWOkUlhT6FebiamQQEItTVTaXJeJzuVfQsR1qB1yYp+caHCaimpulyHV4BBjaTATGRA4zQi7XAGiAuyS2SBTZ138IbLoG+MkPAU89TmQL0OO6eymS/vvvwXZ2Vs0DVtsqDrQn8NhdW+vS8UlMp7Jlzs/V8mqGrgX678X04CKKwzmSEQ27+xP4yt9dQNZ2EDN0HBhK4M7dvYga4Td4aQeA4+K1y2n87NOn8MhHNmO0uyP041sdivhkLq6nG0h5TfzLlj+IwgiiBiXlJSFIzzruUlQTiVCU1dYB/Pj7KaqJJ2hymxRHSwMEv8eedDWxbS8X6EoZTLWYoAS2GG4uyTMn29tCPN6IeP6B0qJK9vNyQXCJJB1bnKe19fQR6TnCLUXOG56ZBBscAfqHwM+cBEa3A/2DpN8bGgHv6iXjB0MnsluY8zz2bAfo7ULu8Evgx4+CD48A0XhgDpZPXYXBt8NhlT/6tbaKA+2JQMlKNci8WukWU+bVSg1HAWBnXwzHxtNl0anGGCKMI2aQwsB2OQyNYXdPDIau4eWLKcQMKobkHBf/eH4Bb01m8OB7R+oiPz8e+KuLgRrFtQqV41uKbVUIyMIILr0jnJmjnpGBjF7kcB5hx8527wdGt9HWVxKYrtNjYzGPXApedAVrEs+e3Q5JWgVw6uWduAoceQWYmQ5fIJG2VzInaTsUqcktvG7Q6xNDlwqGALpO0d32XRR55XJgP/Z+aAfvgXbXZ2hA08AwkZ5E/5Bwana8QpEkPSEcZ7E4fVm9/A9V/6Y72TycCuJsh3Ps7GtsVTOdc/D5Z8pJT6JSXu0337cZCZ0hbXOkfD9pm6MtwvDoXTvxzZ+5Dt/65G5882euw4FN7ZjJuNDh4vh4GkfFz6mpDF66sICnjlDH0VINB2ppGNcSNjzxhRkz6R8g7hx6Eu7zT8M9djhwkLWELIwgmSSCkP2ssbggCtlZr5HhZv8wcPIYmGzjamsHaxP6PpcTl0kbJ3B4chNZ5BC/MyzNgFQSFnfDO5Yk2+gJZY+uHPgt52UszhORnjpOQuTN1wDJ9iK3lKAKeVBltjDNbnBYdHeIubt+AoX4spoYr7rsL0ZOIxnR4AgXHC5stBzHQTKi4Tfftznsu1YT6ZyDf2O9jnyN76KgvJvGGDrietlFqgF0e0kkeGQsDQ0uTkzlynTsLoCnj81iOpXFwwe3LenCb7RGsZnY8FvdSiJlCR6JABWs62vlAJmmkzRjxx7K881OkaOyH67o743HKbrcuhN4/SXa7s7NeG4nhWouxP9BkVqhuCGflHk/YVvOMhn6V9OIsHr7qdhQa1aGHCrkuMVmp/51ggPzs1TciSeA3j4i/oCe6cIku/FLFCnHolS9FVtexhh4Zw+wfTfYoE/QfOpNcMdBLpEAT7ajVsSbSETxiH4Cf5DpxSl0wAaDDhe7+Ty+2D6NZGRHuPctBB57dQzT6aVZgj326hjmcxy9yfLLdD7H8dirY0WegVnbwakaXn2/+N0ziGrAaIeOuZyL6Xo85dcRNjzxFXJxyWTZIZ7NApFYYAsUolHwt46CX3gb6Omr2EDPojHw/kG6+KfkMB75BC5tY/v6KVE/M0WC5sUFAAzcdb0Gf0d0ZjBR7JAT2gzDm1FRmNOBOnttxf1ch0jw6hURULLi435IAXJEdJtIy6rS59Q02pa2tdO/vX3QDt5TvgKf4BvdfcD0FBVYxi4Dly+AJ5JEnu1dZDjgOsDZ0562j4FIe/wKwDlFkqV/M3h/08TcJP5jx3z58bks+DLb2vw4Op5GRF/axuroeLpo7ocfEY3h6Hi66LaYoYfqWHQ5cGHeQTyi4Zt3X4uOeARf+btzeO1yuvaD1wk2/FbXEylnim6XWzBwtyxfVOgimJ4EpsaLokD+wvPFW+CtO4GcTdu09k4vSmIMiCWBbbvoAh6/QuvRNHqMbBmLGEQqTPNs7uMJr1gST9J5E21eS5hjL6PlTMhsuChaBJKekL9k0h7BVno+2b3hO33gs/oE34Vt7cAQsDhHXwiLC8DgJuCa7aTne+NlavkzAqLt7l5KUVQQnoM7K5LXDUI+5HDdoLxbrcfmneLjB4bCFx40BmRtF7/7Ag33DrO9b6RGsdlQxCdycdEbfzxQpBy4DfZ3EZTMbS0dYMP2HKAL8ZIY2OyKqC8Soy0lY15HhxiEIyudLB6nrV5HF/3EE5QvTCQ9I9T+QTFDVz6hKH4sZz6vlMYUv1Gi0BIjcwE5G0QOCS8UXnzP6x+kZDs0/KerOzhfevatIjJi8lwdXcDQCNDW4bkob9oCZFLU77y4QLKViXHY45ep62RkC9DTW1F4jnwNkXetvG8diIgqam+88qVWyegzUqMCWxpJ3rm7t8I9i+FywObU3Xh6Koe7njyOB547jd//YH/VxzVSo9hsqK0uiPxiN/wYtM3by48F5QBnpspapwr3D2qEZyLCk9s9R4ynZOJcqUVhXKqBz0wRAW7bAUPXkL94XvS2akC8TTi5pIlAo3G68GXOT5KPJohGOjwX1hF2+8tQZG+lacDgCHDNtcDlC9BSi3B7+2nd45dRmKgm6y7+ajMHFUEGh4G+fuDCOXDbKWxD+aXzFL2NXwKPxeg1dXTRezAz6b2//i8YxkjeMjEuSJ6IWku2w2E6RdDbd1Y0Mq2V122kHf2+wQRevZyCrmnojQNTJVYqEQZ842PlUhb52NIxlxJ5akcAoQAAIABJREFUl+OGTcXpmbBSlaA4cirD8Tt/O4GHbx/Gb3//St0axbUGRXy1EGRUIInLdqjFqxS+iIEfPwJMT4ON0Eg9vtNzGEE6BUxOFCIhipAc2vbOzULr6weuXBJbT+EDKPt6dd2zdMqJ4/6Japrh+ftJaYwsXtSEIEdJYEyj7eVbR4FEG7ShTXBtmwhNF8OFCvN/vYdD12lo0g3vpt+PHwGmJ4CL5+gujk1RrO2QppFz8ifMZelnboZ0f6lF2roeP+KJkWVqYsDr4NAiETh50Q4orexLX5nrgIPRWuQau3sLg4hKPRSXi/tuHsLv/N1FTCxmEdE0DAgrlbzL0R3Xq05tu+/mIZyaPIeZjFNEfvKx9908FPi4pcIF8J//31jdGsW1CEV8NRBoXa6L+RuJRHnrFFAcMZToBIsmhl29QnM2Oktcb3UNGLsIe27aG0L+zjmq4hZyfHIgObz2Npln04VjtC7Ij3NPNxg2++2PZGMxWvPEOOQ0M/FiyiJe3ztHz5cQUcnJHwEXznhbcmmsMD+HwguRk9sAQfJCs2eI6jiD98UwP1u+HfcjILCVBRTMz1JRKZ2mc45fAebnwEeuAesbbKgdfSKq4/c/fD0+++evYKYkivqdn95SdVSlHHP52KtjODqeRt5xEdE17O2P4sJsDp/99ltwXPq4jHZH8dBto9CwPF+dWu1s6wWK+Gog0Lq+fxBIpYGRzcUiW6DcdbmCTRLnnGZL5HNURdV1MixItlGE4zpws2lgyzZ6vqmrQE78uWSfa0oMMpddF4aYpysHAPln23K3Dssq7hVUADHvF0R0pfkvV9xPRiTRKBVc8kIXmElTlDc5UZw7lH57cn3SgFX6CsrcoOMAWpyeN9lGtxk6kXM84vX3SshcYndP+auSBZR4XJjJjpPECKDzd3TVNp+oE7PpHH7pmePIl9jOZxzgl589h8c/Vt12vnTM5Xwmj88fOo2sTW+5lHmemcrh84dOoz8OjGeq1uMVoIgvFEqNCihyeJ66BGIxMiGYGC804vO2drgQFeOAfFKhKjw/R8l3TaMLfnFBTCtzxfMa4ELDxrt6iOiyaSKTgWHq781l6bbxywAYncdPdoWcm7hKdMNrM6sG16UrKxqlqNN2iHhcl2bVLi7Q8+aynl5PDjFnjEg4kSDHFZkz9Fd4y6rA3CM/vyxG1+gLIZ+n159sp3Y1x6YulXwWyMPz8hscJt1fNKBR3xd9M6Z57XK+NTBNR8528eyJKRwZSy+r3xWg2balpAeITIlb/+zb333hQoH0/KAqLTDYZsDI2YX5HnU0L24oKOIDarqzlMIfBfKzJ4ETR4nc+sTQajtfEDjza64Fjr1RnCOUVWFNowtWRnmZNF3gjgN0dkHr7YcLRlvi6UnKazk25e8AknrIx0ciwghB9uoCBasp2RpXb6E3FqduC8cVfbVDwOQ43IV5Ih/dQGFLK80XJPG1tRNJgQGTopNCN2h8pix6BIFpnibRf65M2nt/NJ06QVKLXhtbNIbI7v2wMxmSsezaX/53DmFSmrNdPPyDS7iasgv9rqmcjW8ensCfHfbmU4Q17RxbcFDJXpah/tm3F2ZyZaQnoTHg8rxdNt9DAw0e+uqHtuLX//pM1e2slNWMzafwhWfPF3WcRBjwJ3deg6GOcs3rWsOGJz6Z98mm58HHqLuCOw5w5BXw114E++S90Eq7LeBFgS4Avpgq04UVTA6GRkgn6M8RzkyB5CARunjTKfrUShKbmQQcB3x+Dnjp74nQMmlPCuPmiUzyebq9o4tId3qaZB4youMQxp+6Z4mlG0RkYaq7yaTIuWmeODi1QETX1kFELC2solHaEifbvK247QBDmyga1phnyMDdgFBE3CAjQbllj8fpfG3tFGXGEp51lW17W910Gs74ZfBYsvLY0BDV3GdPTGFCkB69BBcnAmyqqpkL+OGiumas3mjMqTG22OXV53s8fHBboFkC4MlqxuZTuP8vz5cdz3Pg/r88j0c/uvbJb8Pr+PjxI+CTE7DPn6ELW8omGICzJ8GferxqT24tkwN24e1yM1NpTNDWTsTiuvSJXVygyC6T8ba8+byIAm2vJzcSodtch4osrkN2TNIYIBYngojHfVo7zeezV+Vyk5KYiJh3q4vOjFyOiLC7h8jUztMWeHgTvY5Em9elAYgoLArc+hOUozRi9LzxBLXtMWGpVXiz/FIbX9ud7XjLlaM+AXpNsndXo2KOOzdT3SQ2hEnpkbE0ooa3rlNTlTV9YUw7a11g9QbhUrrHQVq80p9a5+tJxvD4x7ejN86K7tsbZwUS/8Kz5aTnR63jawEbPuLDuVPA/DR4KoWyLoBojKQXVVqYwmyfSnOEzp/+MQmaZbUyJQw2NY2iKDGxzR2/5ElQNJ2uNCki5i7AGRGO7OQAfJ98Ljo9xLBu1/VIUmr+SvNsMlMeiVKlOZuhaNTXM4sTR6F3dcNNZ4C+QbrtzFtkOprP0uM1HejpBnbugXb9DRRdXB0HJrJEWNEorTObpVY8Kbp2xLrloPFYnO6/MEevU1bLZQFjYMjL1QGIJpJwq7Sa+Sv0i1oMX8nswgUk4IBBBzB6NgGd5RHxfQ5q1YNqVUGH2nVcXnACCYmDRkzWg9HuKN6eylX86spzssCqFoX2JGN44u7dFcdL1jJUqHV8LWDDEx/PZYHZKTBDB/IlRMABpBZouPVbRwNzf0sSw4p2WzoBvK0cQNvCtnZg+y5o83NwFufF1lD050ZjomAAipCicTHjd5o0b7PTnotyNEaPkZb3g5uoimnbwmi09PWKT7QhJDO6DravmEi4lK8YOm3JAe/5mAa0JYDr3wW27brClDmcO+VVrWVfb1TYbHUMEQFKEbccTanpFBn295BPYnsHRboaI+2k9OrzI6A31w+Zm104cgT3/0hHFho0MDAwuIzhzDT9HXf1RmEEtcItAV/90Fb80jNvlxU4OCrPvq2Gh24bxc99+3TV+zz4/Fk8cffu+he7gbDht7osGgt2IeGgCzudAvK5yv24IbZPZeju8YS7HF7b1fgVr7MDDFp3j5hD0UERj9wqS+gGbfdGttDvbR30091Pjsp9AyjMu4hEgP03UT4wFqdBQNJHT7a4aT7t35V3gKkJ8NdeBB+/TJVoAOjupRwo52LNl6k6nU17keX0FPjO3cDf/w340dfAbBu4dhf12fb0AcNbgPf/NPC5XwM+8Qu+PwYT7XhJ0BwRkQcd3QbtC78N9uGfAUZ3lnv1ifc6sqO28JZpOr5yqRNZRKAx3XvtIE51gQIBNgJdiSi+87l3Y1O7Xkhryr+g7QKf/c7b+OS3juPqQjiDgI54pOZ9NooWbznY8MSHrTuDU16yIyKRLBLplk31WsIkNhZLeE34s9PCjQUU6cUTRH5vnySOmxiniCi9SFtJO0+avvEr5Hd3+R3g1p8A23sjPde7/yWwbYcwAQVFWO0dQN8gRTybt1KnwsAQsHWH5w8YS9CVzzlFhJrozZ2eBE69KdbDqWqdaAPmxSD0+Vlav+14lvJnTwL/8w/BJycKBR3GNCKsPQfIhmvbLuj7bgbTDdrub76GTFg3bSFSjsc8Tz8jEuq9ju6/OdSfvFpl1GC0lcva9KHQayTNwph69rZTseHRu4Kju4wD3HfoXGjyW2lEarykWsfXAjY88ckLsfRiQjrl5Zm6ipu//Q4eS5rEJh1bGCNnlcFhb8JYVGxnxy7CnZ7wujA4gIUF6miYnxP6tTz9/9I74KPXgmcpMmUDw2T2uecARVixOAAG/tYxItL5WXoc06gK29Epuj98Yypd7lWTM2lhBDAGxhgiO6+nLLsm2tV03TcWEiI3ehaYmwK/egX8rWNURHrrGElzolHPAeXcKXrtMoqcmaIvHdmCJwYM8Reep/e72ntdsYukGE5QSdMHjQHvvaYdUV3Djt7K2+dK5gKVUMvBuFUcjv/kzmuWdXwtYMPn+Jimg33yXhiH/hz26RN0o65TpBeLC1vzgLY0XwdDvZPYCkn2MyfKuw56+yjKSafoObrF76lFT9+madQdAQDZReDVfyQDgHQG3DCAkS3eVtDl9FiAcncaIw3c/DxFm7KFznEoqvR3UwCUj7PzNPBnepLum89S1Og4laexuS4VPdo7Pb881xH+eu+AJxJwclmKJru66b2emqTnKqxdVLA3bSnMP9H23rikqXd+6Bq9LRWPM+Duff24ex/9Xu+QoEqo5WAc1uG4N85CafGWiqGOJB796DVKx7feoRlRdN73G8j+4IVCWxo/c5LyYUFJdGBZDh4yyc7PnKBJZI4wHRBJe5x6U3QliHY0OXQ72gESDDOaRTszBcyIxP+sAey8nra+58+Aj26jLfXQZjqP4ftTMwZ0dhKxtnVSxHflorC456WLFQJol6qrkSii77oFKaYDP3q1sn7CdYrlJ4AwWhBuzG4XmQIAVPFNCH2eLdrRNAYk2oGOTsqvBrneLBGj3VGcmQre7roc2NpTLE+SVdBWQRgt3nIx1JHE0z+7fs0KFPEJMF0vsjFyjx0mV5YA0muEgwfTdLDNW6nSWnp+MXdWjyfAt+4EP3XMywMCXhQnt5mZNM2yYAwYGaX1XXcA2t4b4fy1BcxMeBPJJGyHCiFdPdQrbOjFVlQScquebC+QZ/7YYSpqpBbo9lICsWncY5lcRq7ZL//pFtPT0mJYuN/txnYo4pVokE/eQ7eNFvW7SrgciGjAxWnyqJNojwB//JFt6GurPq92tSC1eI2IQjcqFPFVQKArC6oXLepGieVVoed3ehLI5+H29FFOTI6QlNGYxqiKWnBoccsKMIXoKJ+nQopsyJfRZU8fCu1k0xMkmi6L9pi3L8xlgZyQ7kSSQE8vcE48vm/QIz+psZNia7+JQCZNucpIhIo4AE1Pm5/ztvb+rg8xPa2ABvnkdcQj+MZdO/C7L1zAhZlcIcDc3GHg3Fy5bddCHrj3mbN4/GPVya/SlvjxT3eAgRxZqm1n63E4Lo1Cry6k8cBz5/CL3z1TdL715qPXKDAepnWp8eCXLl1qxvNWRJCYUw6/Kbiy1OjhrQX/+XguS1HR9KSoqkYpJ5ZOF3J6LJEAz+WIbOIJjwDb2oUOT54YwO59YP6Ge86h3fUZuM8/HWCS4HrPFY3SCeZnKf8m2+I03WsTcDlthweGgZ17EJufRXb8MpHq+BUist5+igi7esk8YewiMLqVXFkk4U5d9RxodANs116xHk79yxfPiTGcsSKPPEB84ey7iaLyOv6G9eAz1nEsVDFnbo8AT5rB279Kc3MB2n4+/vHtsF0X9x2qXMBY6tzaqwvpJZ13ue/XSmC5axoZGQFCNMQsK+IzTfNrAO4EkANwGsDnLMuaWc45WwnVihalJFbL2MA/TKcwV8LOg0eiREyL89RnG4lSq5md94TBjk2mnFLXJsdOytY3QRJFzxeJ0nY9YGIZJsbL7e7zeeqrnZkqdkcxIp7ur6sbOPMWHOkAo2n0mMVF0hnKvOLWneB7bwTefIPIWBAyP3WM1ms7QJ9XKZcehXzTKFgsUVeU3ajCA4CqpFfr+IPPn605N/eJu3fjsbu24oHnzjXU4ThMtXgjmIvWg+Vudb8P4EuWZdmmaX4VwJcA/Nbyl9XaCCSxGiMn/cN0/GDxOLh4PNt7E21tr+aB3gFo2QyciTGPhGIxquamU0SGTKMt576bitrmeCYD5OfAFxcoRzY1SS1lVy5T4YQB0IXdVP8QChGfyyln5zhEkHK7mVoQomIGZNI0C0TOrZAR6PCWQl6x8B6NXSomsa5eEka3dZYTtcibsj0Hir0PS0ZQ+lEpygprINBI1BINy+MD7YmGk1CjqsUbCcsiPsuyvuf79UUA5XMD1yEqkph0ZAnq7a1hZsDPnyYimp3y8nVSE6clAHCKqnJZys9JkhoaKSIEns2KPFyMzls0aJzRdtmxgYgLTFwhaYphUETX1kG/z07TFjyeIEFxVzeR4dsnAMeBYxgUmUpjUF0vmzUSaOC6aQsRdyRaTNS+iK4eaVDYKEtBoRSNLG7cC+CpSgdN07wfwP0AYFkW+vurT3RabRiGEXpNCxOXqQk/CMkkMHEZ7f0fLH6MoVNRoAJy0SiiySRyTNg3AXBmp6FFxJ+IadCFq7DsUOBGBNFde5E/fZy6O2IxRHbsQe6tY2A2RWT2lYtwHBusl6qjnAP2hTNUWHUcaLkstGgU7vQk+OICtLYOsN5+RHYfgDN+ufDDRaGCRUk4zDIpMMeG1tUNfWgERjIJcKCtpwe5H70q1pQBYnFE3nULovtvBtN1GvxdOO6tWR6vB9OZ4zWO87o+Z50xDXPZyurmzphW8Xy1DD8ZsKzP/GwqjwefOYIzU2k4nENnDNt7E3j4Y+GKbEHPXc9nfqWRs11Yr13E4X84isW8g4Sh4eYtXTBv2ly3+WsY1CxumKb5twCGAw592bKsQ+I+XwZwK4BPWJYVplqyJoobleAcerK6I4soLPgRVGQoesj0BJDsBC6cKvQOa1MTcOVsClntlBGfrgOdPdDu/fWyLaB/fYW8msTigjAGFeuXmkBw6gxJJKmVbUGIqLNp+j84VX51DSzZTpIbx6at9IFbSJNnGCJH57Wqcc5p+5/PFeUAl1og8sMvOamEQ58Jv62cXMzg3mfOVjxerar7uW+fqCkqXmr0WWo3L+FyICZaq6t1F8d1BG6vW6W44Td/bU9EkRdplKzNMdBm4MH3joQmv4YVNyzL+mC146Zp/gKAOwB8ICTprTmUVWPPnASvV9wcNK1Nnj+bpX7bK5fAJ654211No62pYVD0lM+TWBkQVdIJauUqySkWOcb4SY+DtrAAXUGOS3vCxQXa4kZinvZOzg2eTdNaGKOy5uI8CZAjETHIPFmYToZIrCgFULDYTwuz1ekJ8Hiypslrs9DXFsfjH9uGX/2rs0WFjDA6vpUUFdeym9/cruHCQuVItdXn4Zaav0rEDIarizaePTGFu/c1NjJdblX3dlAx4ycty0rVuv9aRFAhg3d0UafD/Cz49l1F5FdJ3Mz2HAC/dA781HEiD6mna+so+Nbh+hvAh0aAF/4KWJgDa+sAtDT1UC0skNQjKQb/2A4wOBycU/STrO4bep5aoPAgGqMcXT7nGRI4DhA3KJ83O+1p7/zzO/oGxfhKLqJEkFO0yNHxzCL1584I+Uom5Zmo5vNeKyDgmbx++vNLjvxWonWrry1eUbJSDdVExY9/+law3Hzd55SoZTc/lnJXpFq8Wig1f/UjZjAcGUsX2gcbheXm+B4BEAPwfdM0AeBFy7J+edmraiEEFjKk6HZxjqQhUq5RS9zMgcLsC/nDORmKggoC+v6bwffeAH78COLjl7B4+J+pEtre4RUTfOJexlhZK5dffI2uXm+KWzpFri0ih+gVNdqBSZGlksOICn6BQjYj7Zu6e6HlsnAkoUbJJADX7QUe+T2vQ4RBRHppiiITyeLOkBAmr7WwGq1b9SCotW06lcV9T72GiZQnjK5XbhPGbn4lqsWrhaztVE0d5ezGl6WXW9UNMJtbZwioxjLGaDzh+GXg7RPgp4/Txd3eAX7LewHXCZSzYGYabHO5swWfmSwiAFnZbH//B5F+/0/DffzrnghY04HBgSJxb2krV9kwpPlZz2JLylPkzA8ZQcYT1Ivb3UtaPmk+EE9Qjq+9gwgwtQju2KTt4wB2v4ui2eNH6Dn8bXEuFwPNOUWXpSkAhmX137Z661aj5Da1TBUqRYNrBTFDR66KZU60QaawfqiWtRqoaC3PHeD8acq9DXlzT/HqP4GfOQ33/geL81c15CyVCIB6eq8h66pKCMgp+mUh/HbKUfLvfZdIMp8jS6mODi+UiMaBpEtdFwB1ZBi6Z/8eiREh5nJg3T1e1Dk/S8as2RTZS8noEhD+fvDMUDtLKuG6vuz+W3+U1SrJeolGyW3qNVVYazgwlMA/nV8I3O5mbY5bRhq/Vd/wfny1wCr1h54+KbZ1JY640RgwPQ7+/WeLbua1LvBqx5fi8uwD08iAgX3o48D2PZ5ZqXRskb2793wObP/NwKZRsTUFmSjc8i+omySfp61tZzcR8fZdQCwKfvJHwMs/oGqx9PrjnNrTaJVEfjK6BIg4u3ob1n/biggraq6Fh24bRcwoj/pkVfeh20aXusSWwJ27e9HfZhTMXyVkVffO3b0VHrl0qIivFipVYyfH6WKOB3wbRWPAiTeAg3cXblrSbA752AYZJhSdx99KJs+z/ybaJu+9Efz2TxT1KXNdB/YcAPqHEGtrg5NKFff8ZtJEln6vv65uYFHM2fAPRJJGBh3dNUm7ldHIdrlqqGSqsLUnioduGw1lR9/KiBoaHnzvCJ49MYUTUzbyOY6ooeOWkaUNcQ8DRXw1UIl0qDsiKoZmByBXQnI15CzVbK4CuyCqtHI14jxlk+GCtIuy59cQk9+kE0tnp+jHHQKu2we8/opX2JC+gx3dYH2DjXG5aSDC9mCHyd81Eh3xCB4+eG1Dz9lKiBoa7t7Xv2rpCkV8NVCJLNDVQ3mxSonlaElBZJlRW70uz40+T2DE6m+v6+iiirDU/xk6He/sAd77AXKFPv92Q1xuVgr19GCHyd+ttFOywtKhiC8EgsjCASPL92hAYjmXBfbfWnYzHx4B3nmb+nIB0sXd+hNge29oKQIIRFDEKvWBtlOoNGNijIogDk2QY/tu8ghuX7hhQM1CPT3YYfJ3//vj21tKbqPgQRU3lgj2U3cCPQPlRYlcFugZpOMCMpLAsdfBevppENCuvUBbB9hYa7XuVULghDNdL9MU+gcdsb03UlGl1UldIkzlvQ5IuU1/sji+6I2zVXWOUSiHiviWCM2Iwr3/QarenniDcnrRKLD/VrCfurNIyrIkN5cmIyjXxUevBYZHgMkx8uDrHaQc36YtZfm/RtjzrzYqSpckliC96UnGcOjz72kpmY2CIr5lQTOiVLn1VW8DsUQNX7NQKdeFN18H6x1A2z0/j8z0tLjf80TeK2XPv4qop/Ku8ndrG2qruwpYloavCagVoeZ+9Cr9vpSZwq2MOvSSDx/cVvHiUfm71oeK+FYBy9HwNQU1ItT86ePAZpJrNKra3Aqop/Le6u1yCtWhiG81sAwNXzNQM9eVba0ItVGoVy/ZavN2FcJDEV9I1DtcyI9VGVXZQNSMUGPhopnlvGfNwnqKYBUqQ+X4QqCQ7D/6Gg0F8glb+QvPg7vVbXPWXC6sRq4rsqO2/dFy3zMFhZWEivhCoBFylHojCe46yL7+Q7hvvLLq0VJphFqYezt5FYhGkXvrGNzZ2aprWYsSHoWNAxXxhUGDha21IKOl3OGXmhIt+SNUbkSAMyeJ9PoGgO27wOx87bWs8numoFAPVMQXAishbK36fDJa6ukGUp6j/2pGSzJCdQHwxcVyM9Yaa1nt90xBoR4o4guBVZejtJLgeakGqmtNwtMCuLqQXrNzM9Ya1FY3DJZpBFovWknwvOS1rPJ7ttZxdSGN+w4Vkx4AZBzgvkPncHUh3ZyFrVMo4guBwAZ9rJwcpaLrs8QqRktLXctqv2drHQ88d25ZxxXqg9rqhkCjjEBDQwiekUyWHVp1wfMSxder/p4tA62gNyyN9Oo9rlAfFPGFxGoKWwtyksxC0e1LjZaaJb5eC2LgesxHFdYP1Fa3BSHlJNEbf3zZgucVEV9HY60rvq4TtfSG/PiRJq1MYSWhIr4WBdN0xG74MWiblze7YSXE1+39/cisF3+5Fqmgx/Xq29n42v5+aTmoiG+9QwmJq6JVKuiP3LF1WccV6oMivnWOVrmwWxWtUkEfaE/gsbu2lkV2cR147C6l42s01FZ3nUMJiWughSzDBtoTeOpTtQ0gFJYPFfGtdyghcVUoveHGhCK+dQ51YVfHmrMMU2gI1FZ3nWMtCYmbhbWgN1RoLBTxbQCoC1tBoRhqq6ugoLDhoIhPQUFhw0ERn4KCwoaDIj4FBYUNB0V8CgoKGw6K+BQUFDYcFPEpKChsOCjiU1BQ2HBQxKegoLDhoDo3FBRCwnE5joylcHoqg6ztImZo2NEbx4GhJHStygxhhZaDIj4FhRBwXI6/PjmNyZSNmMHAGJBzXBy+vIh35rI4uKtHkd8agtrqKiiEwJGxFKYE6fkRMxgmFm0cGUs1aWUKS4EiPgWFEDg9lUHUCI7oYgbD6anMKq9IYTlQxKegEAJZ213WcYXWgiI+BYUQiBnVL5VaxxVaC+qvpaAQAjt648jZPPBY1ubY0Rtf5RUpLAeK+BQUQuDAUBJ9bQayJeSXtTn62wwcGEo2aWUKS4GSsygohICuMRzc1VOm47t+QOn41iIaQnymaX4RwNcADFiWNdGIcyootBp0jeHGTW24cVNbs5eisEwse6trmuYogJ8CcH75y1FQUFBYeTQix/ffAPw7AMGZXwUFBYUWw7K2uqZpfhTARcuyXjdNs9Z97wdwPwBYloX+/v7lPHXDYRiGWlNIqHXVB7Wu8FitNdUkPtM0/xbAcMChLwP4bQAfCvNElmU9CuBR8SufmGitVGB/fz/UmsJBras+qHWFx3LXNDIyEup+NYnPsqwPBt1umuYBANsByGhvC4BXTdN8t2VZV8IvVUFBQWF1seStrmVZRwAMyt9N0zwL4FZV1VVQUGh1KAGzgoLChkPDBMyWZW1r1LkUFBQUVhIq4lNQUNhwUMSnoKCw4cA4b4ruWImdFRQUVgo1G6ebFfGxVvsxTfOVZq9hLaxJrUutaw2sqSbUVldBQWHDQRGfgoLChoMiPg+P1r7LqqMV1wSoddULta7wWJU1Nau4oaCgoNA0qIhPQUFhw0ERn4KCwoaDmrkRgFay0jdN82sA7gSQA3AawOcsy5pp4npuB/B1ADqAxyzL+i/NWouEcAH/M5B9mgvgUcuyvt7cVRFM09QBvAzyrbyj2esBANM0uwE8BmA/SFN7r2VZ/9TcVQGmaf4GgPtAazpCQ5wTAAAC7UlEQVQC+qyvyKR2FfGVoAWt9L8PYL9lWe8CcBLAl5q1EHER/wmAgwD2Avi0aZp7m7UeH2wA/9ayrOsBvAfAF1pkXQDwawDebPYiSvB1AP/Xsqw9AG5AC6zPNM3NAH4V5PC0H/TF+qmVej4V8ZVDWukfavZCAMCyrO/5fn0RwD3NWguAdwM4ZVnW2wBgmua3ANwF4FgT1wTLsi4DuCz+P2+a5psANjd7XaZpbgHwEQC/B+DBZq5FwjTNTgDvB/CLAGBZVg60m2gFGAASpmnmASQBXFqpJ1IRnw9+K/1mr6UC7gXwfBOffzOAC77f3xG3tQxM09wG4CYALzV5KQDwR6AvUbfZC/HhWgBXATxhmuZrpmk+Zppm08fGWZZ1EcAfgHZalwHMlnzpNxQbLuJrlJV+I1FtTZZlHRL3+TJoS/fkaq6tBEHtQC2jhzJNsx3AtwH8umVZc01eyx0Axi3LesU0zX/VzLWUwABwM4BfsSzrJdM0vw7g3wP4D81clGmaPaDdw3YAMwD+wjTNn7Ms65sr8Xwbjvha0Uq/0pp8a/sFAHcA+IBlWc0kmncAjPp+34IV3I7UA9M0IyDSe9KyrO80ez0A3gfgo6ZpfhhAHECnaZrftCzr55q8rncAvGNZloyInwYRX7PxQQBnLMu6CgCmaX4HwHsBKOJbSbSqlb6oov4WgJ+0LCvVzLUA+CGAXaZpbgdwEZR8/tnmLgkwTZMB+F8A3rQs6+FmrwcALMv6EkQhSkR8X2wB0oNlWVdM07xgmuZuy7JOAPgAmpwLFTgP4D2maSYBpEHrenmlnkzl+FofjwDoAPB90zQPm6b5P5q1EMuybAAPAPgbUCXQsizraLPW48P7APw8gH8t3qPDItJSCMavAHjSNM03ANwI4PebvB6ICPRpAK+CpCwaVrB9TbWsKSgobDioiE9BQWHDQRGfgoLChoMiPgUFhQ0HRXwKCgobDor4FBQUNhwU8SkoKGw4KOJTUFDYcPj/HetTScVZHJEAAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.5\n", "y.shape = 1800 y.mean() = 0.5\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for target_percentage in [0.1, 0.2, 0.3, 0.4, 0.5]:\n", " X_u, y_u = OverSampling(x_vis, y, target_percentage, 1)\n", " print('Target percentage', target_percentage)\n", " print('y.shape = ',y_u.shape[0], 'y.mean() = ', y_u.mean())\n", " plot_two_classes(X_u, y_u, size=(5, 5))\n", " plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing Over-Sampling with other models\n", "\n", "**Advantages of Over-Sampling :**\n", "\n", "- Fast to estimate\n", "- Easy to understant\n", "- No information of the majority class is lost\n", "\n", "**Disadvantages of Over-Sampling :**\n", "\n", "- No new information is added\n", "- Hurts the generalization capacity\n", "- Variance due to randomnes \n", "- Need to define the target percentage" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## SMOTE\n", "\n", "SMOTE (Chawla et. al. 2002) is a well-known algorithm to fight this problem. The general idea of this method is to artificially generate new examples of the minority class using the nearest neighbors of these cases. Furthermore, the majority class examples are also under-sampled, leading to a more balanced dataset." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "# Number of nearest neighbours to used to construct synthetic samples.\n", "k = 5\n", "\n", "from sklearn.neighbors import NearestNeighbors\n", "nearest_neighbour_ = NearestNeighbors(n_neighbors=k + 1)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "NearestNeighbors(algorithm='auto', leaf_size=30, metric='minkowski',\n", " metric_params=None, n_jobs=1, n_neighbors=6, p=2, radius=1.0)" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Look for k-th nearest neighbours, excluding, of course, the\n", "# point itself.#\n", "nearest_neighbour_.fit(x_vis[y==1])" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "# Matrix with k-th nearest neighbours indexes for each minority\n", "# element.#\n", "nns = nearest_neighbour_.kneighbors(x_vis[y==1], \n", " return_distance=False)[:, 1:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Example of the nns of two cases" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def base_smote_plot(sel, nns):\n", " fig, subplot = plt.subplots(nrows=1, ncols=1, figsize=(10, 10))\n", " \n", " for i in range(len(sel)):\n", " # plot the select sample\n", " subplot.scatter(x_vis[y==1, 0][sel[i]], x_vis[y==1, 1][sel[i]],\n", " alpha=1., s=70)\n", " # plot the neighbors\n", " subplot.scatter(x_vis[y==1, 0][nns[sel[i]]], \n", " x_vis[y==1, 1][nns[sel[i]]],\n", " alpha=0.5, s=70) \n", " \n", " # plot the lines\n", " for nn in nns[sel[i]]:\n", " plt.plot([x_vis[y==1, 0][sel[i]], x_vis[y==1, 0][nn]], \n", " [x_vis[y==1, 1][sel[i]], x_vis[y==1, 1][nn]],\n", " 'r--') \n", " \n", " xlim = subplot.get_xlim()\n", " ylim = subplot.get_ylim()\n", " subplot.scatter(x_vis[y==1, 0], x_vis[y==1, 1], alpha=0.1, s=70)\n", " subplot.set_xlim(xlim)\n", " subplot.set_ylim(ylim)\n", " return subplot\n", "base_smote_plot([12],nns)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 4.03277943, -0.25579456])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create syntetic sample for 12\n", "\n", "# Select one random neighbor\n", "np.random.seed(3)\n", "nn_ = np.random.choice(nns[12])\n", "\n", "x_vis[y==1][nn_]" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 4.24268253, -0.14656552])" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Take a step of random size (0,1) in the direction of the\n", "# n nearest neighbours\n", "np.random.seed(5)\n", "step = np.random.uniform()\n", "\n", "# Construct synthetic sample\n", "new = x_vis[y==1][12] - step * (x_vis[y==1][12] - x_vis[y==1][nn_])\n", "new" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_ = base_smote_plot([12],nns)\n", "plot_.scatter(new[0], new[1], alpha=1., s=400, marker=\"*\")" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Select one random neighbor\n", "np.random.seed(5)\n", "nn_2 = np.random.choice(nns[12])\n", "np.random.seed(1)\n", "step = np.random.uniform()\n", "# Construct synthetic sample\n", "new2 = x_vis[y==1][12] - step * (x_vis[y==1][12] - x_vis[y==1][nn_2])\n", "\n", "plot_ = base_smote_plot([12],nns)\n", "plot_.scatter(new[0], new[1], alpha=1., s=400, marker=\"*\")\n", "plot_.scatter(new2[0], new2[1], alpha=1., s=400, marker=\"*\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apply to all cases" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Estimate number of synthetic cases to create" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "800" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "target_percentage = 0.5\n", "n_samples_1_new = -target_percentage * n_samples_0 / (target_percentage- 1) - n_samples_1\n", "n_samples_1_new = int(n_samples_1_new)\n", "n_samples_1_new" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "# A matrix to store the synthetic samples\n", "new = np.zeros((n_samples_1_new, x_vis.shape[1]))" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "# Select examples to use as base\n", "np.random.seed(34)\n", "sel_ = np.random.choice(y[y==1].shape[0], n_samples_1_new)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "# Number of neighbors\n", "K=5 \n", "# Look for k-th nearest neighbours, excluding, of course, the point itself.\n", "nearest_neighbour_ = NearestNeighbors(n_neighbors=k + 1)\n", "nearest_neighbour_.fit(x_vis[y==1])\n", "# Matrix with k-th nearest neighbours indexes for each minority element.\n", "nns = nearest_neighbour_.kneighbors(x_vis[y==1], \n", " return_distance=False)[:, 1:]\n", "\n", "# Select one random neighbor for each example to use as base\n", "nn__=[]\n", "np.random.seed(64)\n", "for i, sel in enumerate(sel_):\n", " nn__.append(np.random.choice(nns[sel]))\n", " \n", "np.random.seed(65)\n", "steps = np.random.uniform(size=n_samples_1_new)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "# For each selected examples create one synthetic case\n", "for i, sel in enumerate(sel_):\n", " # Select neighbor\n", " nn_ = nn__[i]\n", " step = steps[i]\n", " new[i, :] = x_vis[y==1][sel] - step * (x_vis[y==1][sel] - x_vis[y==1][nn_])" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 2.58530437, -1.74601207],\n", " [ 5.22799877, -0.36020053],\n", " [ 3.8383062 , -2.21264352],\n", " ...,\n", " [ 3.71685742, 1.82057738],\n", " [ 4.13440914, -0.44936204],\n", " [ 2.75361774, -1.02360426]])" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "new" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_ = plot_two_classes(x_vis, y, size=(10, 10))\n", "plot_.scatter(new[:, 0], new[:, 1], alpha=0.5, s=150, marker='*')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create function" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "def SMOTE(X, y, target_percentage=0.5, k=5, seed=None):\n", " # Calculate the NearestNeighbors\n", " from sklearn.neighbors import NearestNeighbors\n", " nearest_neighbour_ = NearestNeighbors(n_neighbors=k + 1)\n", " nearest_neighbour_.fit(X[y==1])\n", " nns = nearest_neighbour_.kneighbors(X[y==1], \n", " return_distance=False)[:, 1:]\n", " \n", " # New samples\n", " n_samples_1_new = int(-target_percentage * n_samples_0 / (target_percentage- 1) - n_samples_1)\n", " \n", " # A matrix to store the synthetic samples\n", " new = np.zeros((n_samples_1_new, X.shape[1]))\n", " \n", " # Create seeds\n", " np.random.seed(seed)\n", " seeds = np.random.randint(1, 1000000, 3)\n", " \n", " # Select examples to use as base\n", " np.random.seed(seeds[0])\n", " sel_ = np.random.choice(y[y==1].shape[0], n_samples_1_new)\n", " \n", " # Define random seeds (2 per example)\n", " np.random.seed(seeds[1])\n", " nn__=[]\n", " # Select one random neighbor for each example to use as base\n", " for i, sel in enumerate(sel_):\n", " nn__.append(np.random.choice(nns[sel]))\n", " \n", " np.random.seed(seeds[2])\n", " steps = np.random.uniform(size=n_samples_1_new) \n", "\n", " # For each selected examples create one synthetic case\n", " for i, sel in enumerate(sel_):\n", " # Select neighbor\n", " nn_ = nn__[i]\n", " step = steps[i]\n", " # Create new sample\n", " new[i, :] = X[y==1][sel] - step * (X[y==1][sel] - X[y==1][nn_])\n", " \n", " X = np.vstack((X, new))\n", " y = np.append(y, np.ones(n_samples_1_new))\n", " \n", " return X, y" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.25 k 5\n", "y.shape = 1200 y.mean() = 0.25\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": [ "Target percentage 0.25 k 15\n", "y.shape = 1200 y.mean() = 0.25\n" ] }, { "data": { "image/png": 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i8saRkKBSmZvc1dNObq98VyysdXplOXZ4dUwwXWuepFOEEfQPye83cQ/xrYIo1hyerHNyrokXxriWwe7+EgdGKpjGyi9v81DE+LYpWoIEHV1CHinCSBIau+8DyxEyy0tUhRGq0gm77oLuXujsEkswDIQwtZb/R6EQ4MBQdkzXlYTI0tpdH+v1yrbWuhLpWgeH5f83uIc4ijWHxms8e2SWv/zhNM8emeXQeI0oXtP/v+URxZrn35zn0HgNP4pRCvwo5tB4jReOz2+p61IQ3zZFS5DgsSclsRGm9WwiSEAQwcP/DoZ3SolHTrDA3rNPSkE6e+S9UgVMG0xDyE4ZYhGm2n5tB0Zc1vWwRkywtdYDP5K51bm1KmW0eohvFG6mm/xG4fBknbl6iGu1W3aupZiphRyerG/SylajcHVX4KbsRrhKKMPE3P9O9L6HW+ecBvu590HU3gPEf/dXYr2lxb4Lc0RuCbp6hCAnz4tl2GUL4ZXKUK/K73EMF87A8I7soKbZbmGuhLO21aYME+Ppj6ITMdS8q5xmZG9kD/Hl3OSP7Oi4IWvZKjg518Sx1nZnXUtxcq65Za5JQXw5bGSh7GbiSsl7vWC/jiM4e0qKmi0zCedFRBPnxJK7+16x8IaG23fYbIjLaxjS+ZFHT78UPq+17kvU0V0yI3sDe4hvppv8RsELxfK92PtbBQXx5XApkco1A+8bcdx1iEo/+oGr29cGkbc+dlisuRV/zMqypKxk/FzW3pZH3upbia5eKFWE5Naw2lbW0a1L4k9/bFMfQjfTTX6j4FoGfrT+ebvW1omsbZ2VbAVsgkjlxaTQ6y98+Yql0DdUYfj0Cdh5mxDZWu5p4MOue7KBRCkqHZINjiL5PV2b56EGhlH/9X+P2v+OJHaowXZQ+9+BWkHKW1km/lI38Va6yW8UdveX8MO1Y5teqNndX7rBK1ofhcWXQ6tQdj1cB5HKixFVPDuJzlmZl+XCXg55X6bVKtfDEC2+NuFOSxILA0OwZz987ctybfxmImgQgR/Iz1ijjx+FgWH4kX+PeuBhWetl1NFtlgV+OdjdX+KH47U13V0v1Owb2jo3+Y3CgZEK55Y8ZmrtsU8v1Ax2WBwYqWzi6tpREF8OrULZ9bBO4P2acFGiKrWI6lIurH78KXjzKProoUxxZIV6MnBF5J1eD6WMtqZ+p1IhrNfFUnvgYeJzb8M3XhD3VseSDDFMKZXp7YO77wPfR01egAce3qBrc2UkvtG4mW7yGwXTUDxzb9+qOr59Q1uvjq8gvjw2oYH9cqzMOPTRf/F/wbEfgo7RpgUDI7D7PrF+Zqfg//0zIea0fzVOVYWX0Pl5GVdC3rnrkRcH8A0DHQRSXhJHMDMhRFvpSIg1aXUzTKjXYWYSNTR6xVbaymuzasi5YRJvUsb9ZrrJbyRMQ/HIjo4tn9gpiC8HtfeAWE/rlEtcjwb2S1mZ2rLgj/93kUtvdUYgKsILM+h3vQ+WF2B2GrX3ALqnX2SiTFMysQ0hHoZGr5i8W9djdkrKUuo18JuEXjJx49Xvo0+8LmIEvX3y2tx0Ju0UBeL+LszB0OgVW2n5a9Mact5on/ebT9rcaNwsN3mB1bhm4hsbG9sF/N/AKBADf3zw4MHPX+t+NwOb0sB+USuzCdNTcPqkdEakWVKNkODCPJx8I1l88qHBYVFNSQnCMmFhDt3dd1HyXi9+yONPwYtfBa8J1UWIIoyubiLHlVKWMyelXm9kR9KqlgtuK0NifpXO7LXLdLV1HKFR8PphaY2rLol0VqkkBdNuCYYGYWlepKlOvUH1vgeIB3fckjWXBTYWG2HxhcCvHjx48OWxsbEu4N/GxsZePHjw4NEN2PcNx41uYL+YlWnsugte+Z4QSyoEmrf6lAEXzsLIzpYVtGYyAiRrup76yUXih2r8nMTtBoflp2li2DZREMiHDUNIsV4TgQNjBfkln2nhMlztdD0szQvZNmrge0QajlgjnCjfhud24IYue+oT7FcKc2kefO+mq7kssDm4ZuI7ePDgODCe/L48Njb2OnAbcFMS343GxazMyqMfoPo3X0zIJBKLJ415aYRU6lUpCenpz/a5IhmB7WCskxnGtmFqEiYvgAE6P2oxzZ4uzsPSXDuBaeTYzbqsa25GXndX1PBpJUkWLh0nTRvcT7z+Fs2pEq43yJ6+e9lvnoK5ab428m5mnG5cy0Aphe/5vFK5nbNxPx+uieWbz/iy98C26cIpcGXY0Bjf2NjYXcA7gO9t5H5vdaxnZSrTFIuqmSQMjETlOA+txZXs6lsd/DdNKHfCY0/JpissO9ASOzx/Rgiwtz8ZtTgOE+fQbqK+vDgncbtKp2jfaWBhFoJASlviRJ6quiQWnWkJGWrdyixfKk6a9r7O1kOc+XkwLc4ENv/WeQC3fB/93Qs0TYed/jxgtJRaXCJmjAqHSzuoeGWOeJ142sB5fZ49b7/E/upZrNLN24VT4Ppgw4hvbGysE3gW+OzBgweX1nj/08CnAQ4ePMjg4BpqG5sIy7K25Jqs2+8iPPZqkiU1ktq4OLH4gK5uKvsfQZXK+D/4tlg2loVWinhpAeZmMb/xPM7MBBgGcbOK0SeJiHDiPFEYElsWOo4wfA8qnUTTExIjdByUYaB9X467OI/ZPwSqiYpjlG2hDUNkqwwLo7OTuFbFqHSgFRhuGfvAuzAqHdi79+I8+M5VbWU6ivBfe5l/fe1tFus2HZZJ2Kjylj1EVcdYOqJhljjVtRMn9GmYLrvr45i2DYBhmLhxzNf6HuGuwMCxNQ4QV5d4TXcw6d7NfygvYKYx0EoF3azijJ/BffjdN+x73Gp/W7A113Wj1qT0SgviKjA2NmYDzwF/f/Dgwf90GR/RFy5cuObjbiQGBweZmZnZ7GW0YXBwkMmvfw3+83/Khv6k0LGUi+y6R1zh7l6RfDIMCfwvLYjl1dkt1tHwqPTIOk6maHL8CCwviZuq40xZJQxln2EopAaZa53G6BxXCNi25RhuSay+KJL6vqc+dkmXMm+BfoVd+Mi24/M1Jo1OzCjLds/YXQx6i0QoRrw5RsOqPAzcMhNOD5OVId5d8QiS2KOen0H1DeJpxSPWEg9b1faD2w7GMz99rV/RZWEr/m3Bxq1rIzX4rnVNO3fuhNWqjauwEVldBfxn4PXLJL0CVwDjwXcQ37MXzr+dNP8ng31KHUI+oS8/lxckuRBG4oJ2dokw59y0xA0nziWzcR0Z0rP7PiHCMBBy8xM15tgXAtSJT6uRzxhmpthMDKEhCi1RJOUspiX76R+CweFWTPFiyHdmeE2jFb6cL/ViNuqsknc2DMw4Zt7tYTRIjtnRybwziJvbToehyGIBrtKcjCqriW9FdjmKNa9O1PjW24scmWpQ9WMsQzNQsXnfHV38xN4BnG3YhnYp5EMUrqXa5LnOLXk8c2/flqxp3AhX91Hgk8DhsbGxQ8lr//PBgwef34B9b3sow4QP/Tj804tCMGnsDiDwpIAIpFg5JcVmU7TxDFPq6KI4KWqOIQ4lkdGoZVakaUFUFxLMwzBlP7aNFCWXoVzBiELiIBCCNUzo6UtKWZKi6XodHUeXjqHlOjNcFbcsvsh2MoUXJQTcEXlEGJimIjIcOebQTmjW8TEYNYTIdBiiyh1ox0kGIYGnVxNWZLu8Ol7j5FyTRhBxat5jph4wXQuIYjF4/QgmqgHPv7HAidkmv/robQX5rcDNKs+1EVndb3MZpmWBq4ex72H0xIW2khd94qiQXqMqJNaoZUmGtMDYtOTmT7soLFssndCHpSVxi8MQ6svJwHBDyLMFLS5s6+vV0NWDPbID740jkuxYawaGZbX1GK+HfGfGbrPOD8NuHKWxgDAVObBMokizy5tl2e6gbldwTAM6hlH33Is3NUnXXINh5YFZRg3vkIz0zBR6agJlmbiqXTEkbHp8bfgAc+M1XEsxXQuYrPrM1EOCSGMnAUGFcG+gY84s+Hz1jTl+av/WioltNm5Wea6ic+MmwJolLxpxcZfmM+GAyBcii9MbPbHoUhl4205k4iOwk2LAwGu1f0kcLxkPmVpbzQaUkz/cpDTFHN4Bb7y2eqGpFPzO2y+rQyPtzNBas3/+BGe9IWaMEr1mnUmzE9M0iUqdVFTESDeMAOdjk3IUQE8/zuwk++rnOGD6vKb6KPcNtmZ86MFh1PISzUaDfW6m/Ks9jyOdu5jrGmpZKXONEC/ShEn9YRTrVi221hDGYBDx6kSdn9p/TV/ldcVmzLu4WeW5CuLbQlhZY1ft62/rRMiXvMQvfAn9/X9KSMsAw5aYXt5ii+NEDj5xz4JAYl9phjhKBoi7ZUBLnK/1+STGFwRQRrZNSlMIfLhjj/iD+dKZJL6nlHF5HRp37pHykvOnMRt1PmzNcMQZ4U1ngGVt4xk2o7rOsBlhKPC0Yp9e4sNDASaLMDuHcl0iGy4EZRYnLmDOTKPv3oNSiuauexhcnubB+hsQ6FZ95MnoNtwkJBhrzWIzpOpHpPdopMmywMhl8CPNxLJPFOstGbParFjbzaTBl0dBfJuMlOz028fhzdeEfAaEQC7aiXDnHnjpeSEwQGJwBmhLYnqyd7Hk0m6KhiiqYNtiLWot29q2WIqmlU1IM5W8F4Wyn75+2P8O8H2MkbtAmagwyIqkV+IyOjTU3gPoV74rsUvHwUTzkD/BQ/XzROUKR0Ye5IQ7iK8NnChgnxvw4J4dGMRw9NWW228qeMae4YQ1wGtLTfzpSdwdO9k3VOHAyAim0V476P9wOrHoNMdnm9SDOL2CrZBprOWypa8rJe9t1ZjVZsXablZ5roL4NhH5cg6W5rP+2qkJWF5EP/Dwutpzau8BtG0LUabkp0ksvIR0okju3ijKpOC1FmLz/WRbEg29xDpM3WStJEurdTJi0oG3T8D9D1F+6ieoffdb16xkowxTCLV52yrL0Rwc5mHl87A9s6rsJH7hS7DiuKaCd7gN7u+oQ7CMsX99QYnUSpmqBjSCmIpt0gw1htKtbru0TDIlPQPFaKe9ZWNWmxVru1nlubY98aUWV3VmnGh+7oa2NeXLOXR+WLZlQqNBNDUO3X1rqpoow4Q9D8CpN5PsbmKimLYQVbMh1p1lyu8q63aQwFUAKkkgpOowkUqEDZIsbpCUyvQPou6V4JauLtH4h7+FH3kUtU6PMX396DgWd/xSrWJBgMq3163EGi5z6Hkcibs4HlY4G5dY1hZdKuSeOOKu2ODBePmi0uKplTLXCDENRYdj0AwNolgT5hSEY50kxxX0lEzuHyxv2ZjVZsXablZ5rm1NfG0WV1/fjW9rygttrhyWbZnE87PQncg9rRUze/djUosX+EJYtar0yaKhXJGs69xU0umRxAJRSVzPFULMHzQtmwvD5P8qqRHMGnGU6xJOnxd9wIUZmJ9FhwH0DcG+AyI0euEsvP5DSAQPtO/Bt/4e/Y9fhV13odxyRoSXKf6aPqCit0/wtQsxU6bP0fIQi2a5dQ4TzYhZpTlrd/KRxHRbK9j/wFCZc0seR6Y1lqFQSjFQsbAN0PWQUGfRgk7boK9s0eGYHJ1q4FgGh8ZrW+6m3sxY280oz3VLEt/lThnbbGnztJxD61ia/eu1XIFyGW1ZmQDo8iLR334xk4u67wG53x03cRPDJH6XEKkypPC4VAEniePVa63OCoJkALiR1Pulqi+Qubu2LXWAVY3WsXR7xCH+oe8LyQ6PSqE0gFeH06fgjt2wMJ+V3Wid6OglmdXZadEGPPIK+sJpsT7TOSBmUhMIIozge7BjF9FrL8OF03DyDV4LO5jW/fzAHmEhlviRUmApmIksIjow+kq8OlHj3JK/brD/qd29nJr3mKoGRLHGMgz2DFS4p18zVQswDYWhwDIUjSBGA5HW9LjGlizOvVljbZuFW474rmjK2CZLmyvHRftNIYYwzDK0WkO9ShzH8NabUmc3ent2Lq+9LFLvgyNw5z3Q0SFin74HncPQ2QtTF5IWslB8tjCQWr9Uyw+yREYazVKJq4vKiptjLWUqp46L3NXJN9H1Wi6pksBxYX4K/vGrqHvuz16fmRTSM02xRk8eQ89Oiw/5ehUGR4WgGw3Z/sTr8rOnT6zWMIC//jM5v1KZN3c8ypHKDhbszpaFqoEARaTRQ+gUAAAgAElEQVQ1i6bLQqWPb59Zptsx1w32H51u8Nid3avIItaaZT9i2YuItKbqpdcHelyLwQ4Ly9h6xbk3a6xts7A1c83XgCuZMqYvVXJxHYYLteHOPXDhvLicnd1iYbWSC6BDH2anZHbFYG527fICzE/D8oKQ4cBQ8voinHkLjr4siQnLkRq80BcLL2WKIBCi9Tz5XSehfB1DEGbJEJ0EuUolIaaZKZidQlkmawaUHFeUXfJYSOSsFmbFSoxCWcbykvQTnz8Nd+0R67FZT9rmZPIay0tw/KiQp9eERp1zqoNFo5ykXFOJLiGmWBn4hsV8M2KqGlwy2H9gpMJAh4WXi+sZSnFHt4NtKGq+WHpKKSq2iWnAyTmPWOvWPrYK0ljbIzs6cEwDrcExDR7Z0bGlLNOtglvO4rsSK25Thgvl17P3APofn8vSh70DYhU16kKChtESFQDQ0xPi1k5PyGei0+goknhakGR3LVtI4uQxIYRyOYkfGkn7F0mBcrIIubOzpIfW2fs6lhqOwAOvIeQVhWilxIVeC3Es61xIsrRz07QsSMPICNNrCCHWluHVH8j+mg3pN9ZaMsgkmehUfdr3WFYihqC0lnWk1zKJX0ZRTKQ1Bho9LTNCdBSiTCupQxxGKYUXxusG5p2y4v7BMsdnm6t6khqBZINHu5wtl+i4GWNtm4VbjviuaETkJgwXykMZJuy6S6y6lCi6emDX3TA4gvXWGwRp/2x+3kRaczEzBZPjCTEk5JUWMZumEEgjIRiduGyrxHh0Roqp2xvFgMpUWkwbqstCqMpA2TY6Lyef2xVxLIII+cFH1WXZj+2KJTo7DbUlsTZjLcfp7JIe4+VF2Ucai9QkrXgSj+wKxF234ojAyP58dWIp2zoinp5itD6FNkLo7Ja/hzhCT42jlpfQd+/BTTLoa5HFs0dmKdkGpiHucx6moZhrhIx2ORdNGKRdFMdnG0w1Z5heatDtmuzqdrh3sLwqObIZXRfbGbcc8V2JFZeXfaeSWTDa86B3AK0vsyTjWtbrltrVkvOwLCGsmSmxhtJyF0MlbqqfqTK3eqySdrP0dZ2LGxqJixrlWtLQ7VZNeqMrlX2uWZdtLAeGd6JsSz5Xq2U1gGEoD5VyWVzapQUh1FpVrDutwWhK3M5xs+SKSqzBOE7KchJXd4UqiwgsxNxen+B8eYA5t4dIGcQtpWeNoWPMKODOeJZ/t3ScV0s7ccJZdO8ASinRKWzU8KcmeeDBe9b9TtLSkP6yxUTVX0U8kdYXTRikXRQztYDTix6BNtBxzGQ1YtkLWfajtuTIzapwcjPjlovxcecetLc28WnPk7haAmWYqA88g9r/jqyTwXZg38OgNBz9YTJXNkuQ6JdeQKfJgeu8XqOzG8pd4t7mBTzdclKbl1h5KUmkrmrrhJOfUSRWYV59RZFkdHMtbXm9P7QQUhRmZGrbYFnEYSBxt9qyEHB1USw4vylkuLQgIggLc7R0/iCJIQaZXH66hrQ1DrIG2TwbGwZpDPK+5fPsXzhFv7dEOWxixwEGGicOcCOfe5pT/Ldn/oED0TQDNCV+16i1duUZNs2FRY7PNPjLH07z7JFZDo3XiHJzQlJLbrjTpmIbbe/JeaiLJgzSLoqFZkgjiLFM2Z9pKOpBzGIzaiVH8ttfrOuiwMbi1rP4rnBEZNoD2zn4IZqJAGJ89BB6fv6qy1wut5zmUuu19x7Aq9bgB/+UCYJCophCO9FF4VorWf2eaYMOsvfKySzcIGrv880TaKzF2gx8WFrA2n0fgR9It4nvZdakjhO3m0ySXiP1hCnZ6ThzpSHLZHtNsWRTxZjkYSPHlwdNhCLE4FjPncw7HUTKxIxjeoJFmoZD03Q4VRnmM7f9DDvjKh+uH2MHC3zHu5sppwOtNb4yGIh9umOdSE+ttqzypSF7BspMVQPmGqEQoIJ33XbxhEHaRZEWSOeRucpZF8jNqnByM+PWI76NGBF5lWUuOo6Ij/4QXvr/svkTvf3owRFYUU7TRo5eA2rL6Poy9PajnFJr2FBtehJ95GWYPC/kEEXiLiau3yWuRuLu5rbzm1kyhcRlDoP2bVafGa3YXxQST42LW+qWhJSCICmSTixDDegkmRGF0kJnJDFHy0q2TxRh0JmWHyoh9WZmKSb7i1A8v/O9fH9Q4q6dkUfTVITKYMrpBQUVFaK0QWSYvG318wX7PewK5tgRVXnAqjER2UzoEnOqhDfbYM9AGUOt7mddWRoy0mkx0pzDW55jIG7yTLCEUnvQ6/w9pa6yEOVqQkstyDQ5crMqnNzMuOWID1ilZHKluKIESfqZdCTim0fEBbSsTJhzeQnuvrd9+ld+6E8a55qdlk6I+x6UJGsUwTf/XshAa7GiUpHOKKJFGuuNDzAMcZHDgLbYnZnU58WxDP2+nPEDKZlFEdH4OSEvO1WEWREnlAtCK5KSqjynElk6SagYiQhquq7U2jMtKaFBtQRTj/Tu4Y3uOwkMG4uYzrBBZ9Rkxu0lTmoKYwxMhDBNNFXl8JY9SJmYMjCnHUy/CYZBbXKKyZmA0QEpFcpbVvls74mZOt5bx3EaVfa5Hg86VcyQi3b3pF0UhoIlL8JvxARRiKEUZcug2zVb2+W3Xw9bVeHkZkZxRdeAulQZyxrvp/WDNKrt8TjLlPKUmcmWtdjWo6tjydhOTQh5NBowfhZ95BWWv/B/oGdnEgVkMnKJo0w6pJWkWIOoTaOd9Eha0CwnkZNPPqNUJh1vrvMsTN3lNK4HSb1fmi3Wqwk0JcRYC3mXSnKMSocc37azGkLTkja6MJSfwzuS5I6s+0TXbSw7HUJsrfo9qJklNAqtDELMbF9J4qNpWMy7PWitidI6QcvGQjMfmeipcTh1Aq11y7Jqy7BOTuA0quxxPR40qy25qrXqQlPs7i/hBTGNQIqhYzQKhdaw7Ec0gphmELO7v9Ta3g/Xfvh4oW5tV2DjcEtafNeMqylzSdxjHa2R+LBMCfQPjYq1mHel8xlbrSUDevIY9A7gLc5C/zCgoX9QWs6ajcRVNUSSJM3kpjV6eaQjHskRnI7BSAhFmXLctL4uiloDyNeE1lnXRzqD42KIIzlG6pY3G+IuW8mgpDQDnyZewqTneMeu3LWzwDLxTJdI5S0ryUjHqDwPJpakmSzXQMeKyLahuYAZlYlMExo1tFKEpgUlE92ooWamcEd3rM6wLs4TWA6HQpezcYln7Jk28lsr7HFgpML3zi2Jkayh2gxJh3q5lkEtiHh9uo5tipV5d59LX9lirhFim7Riil6k6XZNHh6tbFkdwJsVBfGtgStNkEDOPTbNxBIiGbidzY7Qvf0wept0K6TKyfOzQgCVCizMJ3MsRC5KxRo9OS5k0Nsvxb0dSatWLenr9f01avNIXEcz09NLEWtwEpe5Xs3V76nM+lrzoqj2mGKwVjJl1YfkRxQKaRtmkvgwkxo9LQXXLasvUYtZWhCi7xtsxR7d2MfUEZGy2vZv5NarEj3BtLg5VhaxqZgplznabFBVJlVVAkNhENMR+uiFOVRvP835OfZ1RLz61X9lxivjmga6t1+Kn5XCVZrZ2OG1qLN9cFES9lhZh3d+yacRxpgKHMvAD2MsQ5IpWosogmko/Cjm1Yk6/RWTAyNlXji+wJIX4ZoGOzpthjttfjhR5/yyX5S1bCAK4lsDV5MgadUP9vTD9DgsLWYkBnLDj58VCw8yNzMKoRZIHDAKM4tqdhqd9stGkRBHR1I07JbFffbCzNpLkwf53tuVyY+0bCQMM2tLIYRDnAgVXCJumO3s0heypf6c32eyNjOJgQbJWtJaPccVQvY9cYmVlLvsqU/wVsdOZks9mK14JXRETXxD6goty0E5DhpFI4iII42poBQGTKsyVcvGVzag0cpgWbl8W1ncWa+xr3mW/fFJ/k7twlW6VfBMbRnd3dsiv1UT2xy3rW5voRky1wh5e94jiDUly2BXf5koDKl6EVVfvt9lL7OsXUsxV48IIo9d3e6qDO9WH9xzM6IgvnVwxQmSxD1mcFg6F3w/i/XFMbhJzVfgZyUklpm4ZjFUqxmBOYk1FEUQemL9NOoZ8VU6RL0kje3l75OkJnndLK1K3vO97Hi2nRsduRbpKbJBRJcgvHTAkY6lBS89/3Q0ZqoF6KlEjUZLTM+yJVvd0wvTk5IVr9fELSdmf3iG0+Uhvu92ERgWZvKA6A1qNAyH2LCwQh9iRWALGbmmQberiKoNlowSoTIItSHDzoEQxaJZYqEpPcTKdfG8bMylspKB6dUl6aihfWJbGvY4PFlnNilWbgRxq+NDAY0w5vxCk5EOk0YYYyQ791bE9FxLcXiywf2Da8fzirKWjUWR3NggqL0HUP2D4AdikXV2Ze6h48Add8uN7bpAnCiPRFAqZ21mqQpyKi3lJC1eaa1bmFgJUSzkNzCUzbyFJB5mX3yhKanpOBevM7LkxVrZbOMSbnAK0xTiSnuG+wezomWduNNpLDENgKXuutcUgpmaFJJNE0jlEkQRpqn4saWj/OTk97i9NoWpI0ytuSNc5H+a/2d+Ij5Fvxmg4pAwCOgpmbxjR5n33dlDCASGSYQCQ2EqcImwkvNpKou5jkFeizpXTWSjs1usv0SjMH0/H/Y4OddkPilWTl1Ry5BTNIBGIJZe1YtaFuF8M+ToVJ0wZ5V74UXiqxRlLRuJwuLbIOTdY33mpFhn3T3i+iYDePT8rGwcxbDnXul+mJ+VfyTxwbT5X8cop4TuG5SEx8CQ3ITVJejrESutb0A6UaYnZZvlRbEMU309M9fXu5YFmJa7gNylppX+kpEiZC7zpVzgtAvESIaNK5WVsKRmaRxnVl6jSsuaNC1xwYMQHDvREXRh916Jic7PYTbrPBK/xSP103ItKh1yLcsV3t0/yM91nKVer/NXwW0Y92QJqCYmtpJ5Q9lUDTkfrWHe7sStxJyM4rYxl7KJEld3YARvYY59LIHttIU9vDBeVazsmAZhrIkTy2+iGrQuoyH8K3qBjZD37urEMoxW/3CsdVvRtGko+ssWt/dk8eait/faUBDfBiJ1j+PTJ9bOeKaJD9OUREjSo6vjCOZmxLVLRQPKnRg9vcRBQga9A0J0O3dJprS6KMonaQLDKYHTSFRaTCHClGSyFWbrSOfoRhGoIBlIlPTJrtTaS3HRuF+SVe7qlu1SQVG3JImc1MJLrdfqUk6CKwKddHqopFDaa4rlOz0pBFfpkPPq6IKzp+T/pgUDMvktX3fpRgH50eihkbjfaXvcij7gUDmi2KINHjSrnI1LzMaOxPoAZdr4fcMM7NyJ7nH4yryHF8S4ry+wu7+EbapVxcoV2ySKQyKtaIRaktlpy7QSYjSViJy+OdNkd3+ZAyNllpsRby961JOSl0YYo7Xm/JJPLYhp+BHHZho89+Y8y16EawopDnfaRW/vFaAgvuuB9cphevol/jd6e/vrliUS813dEtNqDelWQm7KkKE8OoKX/03iezopCal0JH3GUa4oOcrc5TYCzll/ppFzN0kINCmKTlWg0/q89dA2gFwLAXd0w+AOePt4YsX5YmSl6yMpifFXHCPtCU5jlkEgVmN+YHkcoXbuQi8twMCQzOpYA7vdgFdD3UoSWLaF7yVtekphtM5Jzt02QIdSvpJObHst6uRkVBFramSQfaMVzix6vDpRXyUk0FzDBe1wDLzIwAslwWJbULZN6oFY0unQclMpJqoB79nVxVO7e/nCK5MsJ0mQINIYSok8oaE4t+DxP/zdCWINXqQxUDim4sKyT++ixSM7O4okyGWiIL7rgPXKYejqBc+Hrt5MUn5hTv6FAQwMS0ZzUZrqY9sW8kj0+Dj8CsxOtrereU1xq7t65KfvgxFK7LDZWNvybGt3SyyDVrEwWcxQayCn5LKqQDm3D9MAy0Hdc5+cW70KF84kPbj5QUdk+1LGaoJVSrLMRtRKKLSQuuUDQy0J+5XQnsf+fSOcnZlkdnYeJwrpj3qZNMpSHhTHmCRJHGWglKKPBl69wQMdYieaCh62qjwUzRIPDfHa3rv49pllzi56uKbRsrDSdrdYy8CiuUbcEhpQStHjWkSO5sJygJUMLRqs2K2kR3pZy5bRstL6SzYV22ehERLGmjCOMZWiGcZ4oUyBS7UpYjSh1kRaEcUhh8ZrvHNnZ5EEuQwUxLdBWClMgO1AZzdaR5JBXZiXv9YdO4XoXn1TSMEyJBniNWRIT6kkg7kV6Nkp2c/gkLh80xOJi5rExRTys7acJUJcFyKLNtWWi698hXJLrtjZMCDMWWYtqPb/G0arSqU1m+Oe+0QpOtUKtO3sGFGUuNVJv26qHYgWwu7pS9RnsiVSXQLLkmtsiCipbjZRpSwLqr0m9PVjjp/lw/NzHLEGOKkq3K7q1COIgIZhE2NKFQ+aMiGjps9gxWJ/dwDKaZUvxbsf4AXjduYmGkxVfawkWztR9Vnywlyvr0GXY7LQjJmqippPh2NyR49Db8ki0A06LNrc8U43s2Qd02i5pkGspbzRVOjEJfajmCDURIlxjpYZI+m1CSKNZchg9Mmqj0Lx7JHZIvZ3ERTEdxFc9tCiteZ8hEFL109q5pKg/fQkvPGaWES2DR39tAZ7G0oC/PUqdPdgdHRLp8HJN6UGsKVgknRbpP2dsRZi2PuQFP9OjmfF01cKRU7/Lsm+2okuYJx2buTjWSr7vdIpdYpDo5IUKFWglMz56B+E8fOZ9p7OHTBNqmgkhmfZUFai5ddsyE+loH+AlituOyIV1tmFSsZgOg+9i/r8PLz+KlbJ5WGqPGxViTQ87w9ybD5kqdTNklXB1waWihhVPk/aszxkVTGV0zbD99XxGvPjNVyrPYaXyktNVQOGO23enKkzWw/pLVtUbHFvwyim5kd84O4eRvu6+PobUzhr3G1eqHnXznLr/65lsORFBLG4siBkeLF8bpxsY5uKw5N1LEMxXfNbSZGlZljE/lagIL51cCVDi9ab84HjwCv/Il0WlQ4J8oehCHsahrilUxNZB4NpQk8XdPVI1vDt4zBxXqxFz2sV88os3ET+KSWnqi/6gSXpTCDwuDyLb+WJ69XucRQK2brpUKAVrilasrADQ6IdmLqgraxyQhquCz7J/pPPx0mbXMmVBE2pJPHO6qIkfHSc9PE6kvzxfejsgZEdUlR+170YSa2lOziI+i9/tOaw8R9zZrijMc2JeAi/fxRXSQY333+7UnwiLxcltXm5fSbyUlqLK6u1uKGdrkWnK1lXP9Ro4OPvvJ1Xz80xVQ0IY00jjIm1WHbDHTY/dm9fa7+7+0t87fh8i/TkO6Htq1xFXcnXkQ5GGul0QMl6J6oBi0mxdBH7y1AQ3zq4otGTa8hYtcYqzkzLnaeQG77RyObWtmJncZZYWJwTy4nENfL9pAMicT3j1GLSWXIi3VcciYUUXqbiyqWQxuJiDXGQWy9kd2JSraZ1yzLTJ47KOS7MiSVqGBKTa9REXl7n3PXUggtD6K1In65hiDXcUnIGGsn1iRPyG06ms63olc1GduZiqMuLGL7HQ16Th2wH7AdWZYKBVeITebkoUWMOVsnFn1n0CWNNl9PezWMaCj/W/POZZd7/ANzd5/LaVJ2mH4MCx1Tc0+dyd1+Zfzy12LLGDoxU6HJM5vPlMckPQyWJ79xXk74fx0KyjmnQ4Rht62gEMQvNsIj95bClie9KBD03HFegybemjFU6VlFp8UWaDVoKx2lbWWrBpYXOabmLl7ioWsvNHUZZIfOaKstJgA2SYuCrcHHXQj77Ce1FzppM0SUdCDQzmamvLMwlhcvJ57xm0lesc4kNwLDljrYc2HmnjMz812+JVdfTK7V+qby9IfOGsUw4/ZaMvOzpFTfwzj3oRz+QjOz0khklNaltTFsH41isxslxWF5C331v63tbS3wiLxc13Gmz6EVtRcqmoVj2QxxTtZFNCtNQTCx5/C8vvMHxqSUcQ+GWTYJI40eatxd8tIaZRsBtXQ4PjXZweLJOh2MwWY3xfN1KZJjJMyKhfyxDEWuJ+xkkJZkK+svmqr/F1Dod6SwKoFNsWeK7ovm41+P4V6DJt+acj/lZIaCWa4hYMa2gdO7RnWY9ZW/ZPtLhQ44rltPkePv7sqPsZzq/9nojr/ocx7RETVPp/rnZjCR7esVyS4el62RbIy1cNsXNt+2sDS8IsjIWZUiJj6kyK7dRz+KESeZaH3mF+tI8+o574J9eTHqZm+390pYt+2/U5efMpNRRriM+kVdiNpTi3oFSq7DYjzQ7ehyW/ZCyZaz7tzJdD4mMJqEWEmsEcctqC6KYqVpAqOG5N+Y5s+gxWw+pBTG2aWAamiCSAmidWHudpiKIk30ohWvAaKeNqRTVIG5LmuQRaV3o+uWwdYnvSlzN64C1yEyng38W58TreuFLYmnccQ8cfbVlIWodi2sXBZkiSRTJ/tK/ep3ExlSSqEhbyEoViGL0iaOE0xNi7XV1iaXjOBAaa1t0+SlpsKLG7joiP6oSxPKrL0tpjZu047mlXFJDZ3G7SmeuWDqJXc5OS7tf27mlP5U8cJJRkgQeLM6jX/4O+B71oy/DHbuT2kclpJjuX8dCroPDQoiODedPo5cXJfve0dESiU0VsvfPHefM23PMhAYl00D19jMyOExf2Waww+KZe/v4P/91gnOLXhYnzCGKNUGscS0TrYXE0q8fZIZvLYgZMhQTVR93WmGbBlZSJhPE4rrGWtPpGEKChqLPdagFGsOA2zpt7ugrMVENCKKYyWqw5lrQqtD1y2HLEt/Vyr9vGFYUIbcEQxsJ6QyPZhZo7wD09aHn52RtM1NZ0qFclpuwXsumikGmgRdHWcmHZQpZLs5DVzfKdtFBVcYzNpNOhja9PNVuQcLFW9RuBNLz7kv0A8PE4kqt8zgCErezUYeODlptayDk3j8g19A0hSCNIJPOiiIiu8QRe4QTvTvxTBtXwR5jkgfr5zBOvC6E2mq5061OGFF7UfIQSdSs1T33y2Zh2PIm9ONPwTf/HmNuhmccl9dIipmnLuBWF9j37od5aLQT01D8+zu6+PLRAD+KV8X/bNOg05bzUkostVX2evJ1hZGIlIIMJ+ovy0DzRhijUHihZu9Qmdt7XH7mwcFVl/3QeI1XLlRZ9iLqQftavFBz36C77nCk7YgtS3xXI/++kVhVhJwKhoIIDAwMZYOzTxyVbozR24UgF+bE4gkCuXnTiWhpz2pewSSty3PcLMbX2wteA9XVLcQRBBIfqy6tIDTdbm1tBYQh6AAmL8j/0yFJOm63DtPM83IiNd/RBQ++E9AyF2TygoQLmsmEsSSaHymDr428ixm7G1eHqDjGt2xe6byLc5VBPjT5Msd6hjlR2YnXI5bTHn+W/f4kZnrwNGborONNvPhVqC6jXBcTKWZ+2KqCm8QCFzoxdspD96HRDs4u+rw+U6fqxa3e2p6Kyb7BCi9fqMrzzzJY9qJVxKcULDUjGmHEhWUZgFS2DDock07XzLmumtEuhyBa+wtP54RoYLEZtQ1HunegxH/3juGilCWHLUt8VzIf97ocf6Um38KcWFy9/VK28fZJsVgsU27u+WkZXt0/hN69F9Dwb98RsjItWa/tiJvq+WCbEKU1ean6clPcMdMUPb+ubrEma8sydDwKc/VzWxipm6mSpIdK1FriXA9xnJyHRhIbgyNi7Q3fBv/wNxICKFcS0m8mRdAOR27fz6zTh6tDCOKWK+sSMm118ee3fxDXlNiXikJ8bfKKu5Ozdi8frr2B2cqoI9/lyqW7LvqNVzNLcI33896GaSg+cn8fd/S6awoGBHHM98cbdDgGZh2inKsba40BLDYDar4mJm49F2wFo10WXa6FUgoz+d7Xi9Pl54ScnGsy0mkXxcsXwZYlvquSf99g5DX5opwFqqcnMtJLEUWZxVBbkliV52WxPSOpRSt3yI3fPyTio6Gfy+wm1uDyIjQbRMsLicxUUthsJvp9+ezqJSet3WCkGdsozLnmkbiZtWrOFc+55KYBe/ZKUuTcaZibSvQBV2S/gRPdu3Dqjaz7A93K+M5bPcy43TxYO5ddG9fAJWDGqHDEHOIhe0GOWa4I2a6FS3kTK943DcUjOzrWLBX5D/f3c2Z5lnPzNQYqFvONiFBr4lijlChIV/3VBcqBhvNLIYMVTV/ZYqjLuegQ80uto0A7tizxXY38+3VdT94CXZhrJz3IsqmODcfPiptm5HTlUlGBMBQy85qJG6izurs4EutOjpiUeySN/qmbnPYqrTXcZ6sgzfKalqzbD2BxIYu75YvQ4lgI8fgxuR6T56XLY2o8K3Q2ErkuHeM1fVRL36n9wTNvlLL9lspyXZPwgWvBib67eGgkkNa/3oH1QylXMWxq3U0tg9/58P184Z/f5PBEnWYoQ41cx6TuhywH6382BuYaEV2uRbdr0gxjjs82ODpVL6y5a8TWJb6NmI+7kchboGnDfYowEgsOJBaoSFSN89LzSacGOlFTicWFC5N9hbmsJ2SZ3ihoD9SHEa3irq1IfKm2XpqF9v1siFFKeCvXHUdw5oTE+bwkvpcqRFuO7K9cho5OXB3jd3YnQ9BzDwSliAwTI46YLPczZ3cRdZSwbJs+3WR4uJ9gaATz4SEZGH/k0KoOD5AHK/c/hK4ut7yNSNNSa2mGmtLIKHvGa5dNOo5l8FP7B/noPs1zb8xxbLpB1Y94Y+bSc0sS2VPJDicaf3llmKIV7eqwZYkP2l3NzUbeApVWrISMwkhuysFh+f/inLReDbjiynqNRONOQblLyM4pSeY2teqilbp5IJaOkRUt51/fqkhrEtN6vihJIERhTgRhxfZp7XUQSH9xlAqoJt0caWKoUQVG2WNf4FDHPpyylc31jSPJyipoGA4TVocU/NoOETChKizNNtg/IuRwKW+Cx5+Cb/4Dem6a2HF5IRhkNnZwogCj3IE/MHJVpHN4ss5CI+KOXjnmidlLF5rbSf1e2YK7CGwAACAASURBVDJXzeKwTTgyWefUvMdA2SqswCvAlia+rYQ2heX6Mlw4JxZD/1BLYRmQG3F4h/zuB9mcDI3c2J4n/8K0xs+QdrDsSLmSF3PtGF5LO2+LIT0fy8q12EWSoEm7NtLWPJIf6dyQlvS+JdneNL4HtIYkzU6z31nmbGWYmcoAbpqoUAaeYdMRefiGi+lYIpGVLMtCsxypnPEt32X0+mFeOzHOSc+WspiBfu65706Y8nlr+D14eoK5uSXqMdxmRaiBHcl3rXAtLqp9l1dINpwasd/kwrJPf1luuTjp7b0UYg0z9RBrRXFerDXHZ5s0gpiqHzNYsQor8ApQEN8VILVA9d4D6JdeWNNioLNHguY6FnKcuiAWT5BkNx2Rq2plPMO0Ri11cVUWu4rCtQ28aKWLtMmuby75IPLCDq3BQok8F3NJsocV1mt+7q+ZZLg9nZSuKI703sOJrtvxlI1LxJ6lszx54uscu+MdnOi6Dd8u40QBDyyeoaOrwutWF3XLbc3TABkq1GW2E02MwdfMO5jdtRPXUhjIYb/8+gIKzd7hMsbwKFP04EcxDdvg3oFSa1gQrD8AKJ26Nl31ObXgMdtcwvND6mFMb8nkvbu6ma0HOJaBF8UXteFVstqpasBoVzZPZaoaZIONcidWTGS7PBTEdxW4WPxRP/AwHHkF3nxNguhhkJN0jyG2JHi/vCAJkKRMA9cVEmjWMzc6bWtbdWeseFEpkY7yLzHge6PRclUTK9U05XyrSUF2qQOGdoKXqNEYSppNV+8oG6iexAIj4Gs7fpQZt0fq9YCm4fAPo+/mOetR7grmKTUaPGDNSY1ec4Gj3i52l+tMKRn+XdPy510hYKS73Das5/BknblkaHiKqWqAH0kB8PfPVSlbivPLgeSYFCw0Qu7sdRMRUvncWgOADk/Wman6/GC8RiOIsS3pn1XAbD3im6cW2dHl0FsyCaOY+kVCfaYBlmEwW28nvvyMj5WWXTGR7dIoiO8qsV78MQ599HMHM9FQM9GyM8gsvvk5ISrLkbYu38/071L5eDkKq1jPsmU/gUd75wbZkKFslbk3rwNSa63VfhBmNXuBJ9nat47Je4axjkWqZJi6UxJRgVAk4o/07WE2IT2QIP+Jjp00TBeUYjryGfEXeMXo5Wylhw+HR3GJaNgllrWNo6CiAnQco2yHSauTxoLXKjDOS06lmK2LhJNo4UEjVASRqJ4YCmp+1JJ5Sq2/terqTs41eWshGTWZsxBTYYFaEDNZ8xms2PihxlQRy8Hqa9NhicyVbSjmm+3smOoDRrFmqHP1ZL1iItvFURDfRuPNo/LTtECHSRYzLVRWErsKPIj8LOsZBpmrms66jXOxsDxSbTyVlIuoRKoq1edrw41wfXWuH1kLoQdeRt5hnGWogdXWKtKO5/tkMluKE1234+jsZp8q9dMwXUyk+2PO6WTEX8D1G8yoDo4M72Pf0CjPGTuoLTfxYkVD2cS2jbItdC2gEUR8/jvj3Nnrcnq+yUiX3ea65gVA/SjCwsA2FX7SY+tFuiXzNFUN6Cvba9bVeaG8b64ol7ENRRhLfK7ua1SHor9iYZkKLwpazxBDCUkOVuyW6stiM8ILdctCNQ1ZV8U2GF6D+ApBgoujIL6NxukTmfuaDvxp1LJ7PQpB2+LyDQxL7KsRZbJJKflB+7Sz1kQynXRwJL2+rUJerg/PXXSkpMrF9LT8NbXKVXJxR60z69cky9pGURYLjHIdFYYkK1TuhOadLiG95LhRmjwxTVzH4oTZxc/2wJfjbhbCEpFOFIy1puZLDNUyFHONgB1dNjONkCU/aovbeWGmehzGoplnm4owjog1hEkszTQU07WQewfLa/a/ulZadtJOfEopypY0nIAmTEpU9vQ7IljgRzJcCE2HLXHembq0nnW5Jl2uQRyL2vJwp0M9iLi922VlDuNShc4FCuLbcGjfSzoscoRh2WLRtF5TcqPPTkthr5ESpS0iCF6Dlvm2XmeGnTzl40vXgq2PNQOIK07oYu9rcc0b9YyI83V6OjlGmoU2k1GYUTJrw4ghNrLMLkhIIIpwIw/fzOrsIrVC6DMdmGRZYCj8epPSnoepnDJwTUkaeKGMaIySZ8lcI6QZxgyUbQYrFheWgiRpIMdxLUXVl+udWmsKmY7mhTGGgqoX4UUa11Q0/JjDk/VV5SO7+0sYhlrz0mmgt2TRV7Z49+2dzNQkzjhbF6EDP9LYhqIZRDRD3arbswzFidkm+4bL/OR9AwC8cHy+9fkUXqgZ7LAKQYJLoCC+DYZyXHRvv9TpNZKgvu0kN3ySvQ0CIa5mnVZms5p0bLTa0C7RjrYh5SwbaCKulKfKHyO15vwkLmkoCdql1yPKn6fcxHuWz3Oo796Wu2vqKCE/RaSM/5+9N42VK03v+37ve5Zabt195eXWbG7d7Gb3dI9GhrWMomjxjGTBiiXRcRDEiGIPjCAfEgVI4PhL7CBAgiAGHDgfLDgy5MSyfS1ZlkdWS2PDI1mLZ+2NTXY31+ZO3v3eWs/65sPznnOqbtXduGjIZj8AQfLeqlOnlvOvZ/k//z/Twbrc1xE/Xt9R+K++Sf3j9xkuOUTtFEeR54iZlF8rSrlXD6l6mlpJs9SMc+AbKTu0Y3kejteF38Yw5GsUioqnGfJFV+/9B02+fbfBSMnhp0+N89rcUK6i/MKYz6WVAK8LEFMjvhiuo3htrtqzWztZ9UiMZKWbnZjFlqjceI7C1YqyKwOOf3cl5JO1gKmqh6eVZIFGDIdKrubl6cfD43schuVPs+n5Z8D3uOPoCQGxiSnxy8gMtMvVgszs+0J4vn+3ECrNYqvq8XaRrbhlvL/vlQzVvsNYNNouU5Xn/cr6VeHrlccopRHjYZ0H5QlQimoaMhOsSwZZKhGUapwZUyjHYaTkcLUZEiWiTtytf5dFx0rKz9Y8KEk5udiIqHfEQ0MrRScyhGkqgOooNoOEODGsdyJSAyMlh4rn4GpFPUj42tV17tTDnD/3Sz9wkL/19VsstiKZaymoeQ6uo5gZ8viZ0xM9u7VJavIM7t37TSquzsteTyuqnmKtkxAmhmtrAdNDHrExBIFkeH/xzOPj7WV0nBU79X6YTZHHcYwnGY8F+M6dO/cl4O8iHZx/sLCw8L89juM+i5FvBRgj/LW7N0WXLk2F41cqC3VFWXLv1h6a0mD2kM1lfT2d+VY8kafzZCIbdmx93roQYHAwfOnuf+DC+HGuDB9ipr1CyynhpzEHg1WU68L0HGF1hKmkzasnhTR+eMTnst2IiO10NnsUkTxUtGNRKl5txZQ8zeGKx8S0w6VlQyuOCBNDxdOUgbV2TD2QYzi6oFautRNaUYeq56CU3G6lFXN9LeCHj45wdrbK3/6xI3z141U+Xo1ptDv4rsPZ2Qo/c3oCf8vwoVtd5T/c3BT6i4IhV6w779alFFZKkbaifBnoSfD2BlF9YH+P9TiO8STjkYHv3LlzDvB/Az8B3Aa+fe7cuX+1sLBw8VGP/SxGH8dveg7j+cLZ83y4cVlumCaFBLp2eoFrx4FCfiPI7Lf2sgLwNEUG+HnY55L2Ar6D4bX1q7y2dhUwJCgujB3nysgRQq3xN1c5Uwp4dbqC+7KIVpycqvCtOw08LQCnlQybHS2Kx66SqetSM6ITpYxXHGqexhhDJzZMVV2aoVhDihtacYaZ54XMbAxRlFCPrAm51kxWXRYbYU9W83OvTDE1NcXy8nL+vJLU8O69Zl8JeGa60vXs5YHrgWSncWpQCG8yTAxXVtpdvr6Pl7c3iOqTxV4f63Ec40nG48j4vh+4srCwcA3g3Llz/xT4C8BTB3w7mRc9ztjK8UsvvotpNlElH+N0rZtlJapyit6eyjYZdgMz+/unTZZqr2G2/GfQ083UbYIAjLFAeIXXkiUZGBkD6jjqF/6HXLTi7GyV0bJDPYCa75CmhnZsSNIUhSExCpOKAbcBhnyHe42IpUaIoyBMBWSMkempoxWeBR6tsrfOkGKQI2o0BpXCnaUGY6MVPGdwVpOkhvfvN/ntS2vUg4SSI763MzWPd+42+N3La8wMeVR8h81OTJAYgiTFUZoklRLcIFPjzNd3btgTIF1scP5BiyBOKO2QWe4lut3ltvv9n8YxnmQ8DrLPQeBW1/9v2589VZGbF114B6Kwx7zIfP0tzJPcfe2W0R+dKIDPtTy8JLblrSn4fnuJbD/4WRAn7Yu9LKqmhaJNFq4nYDg5LfL/7WbBnURKxp86Nc5kxWXI0xgFVU8xUnLwHCH8FhmUyft7rShlM5SpqrFZVWJBUG4LUQIGY/NshbHdQ2OJNy0UjWaHKyttPEeymiyS1PCvP17jn19Y4cZawGor5n4j4upqwOXlDqvtiKVmzEYn4cioj6OFPK0R0rPN7VEKRktO7pwWJYavX9vg8kqHWxsdllsxq62IP75R5+/8yV3ChwCY3TiAe+EIPo5jPMl4HBnfoKuu71N97ty5rwBfAVhYWGBqqt834ElG8N63CYMWany89xfVKqbTIPnwPaZeffOxPJZJEsIP3ia6+hEEHcLLF9ATUzgzB+DwC0RBm7TZIPHLvS5sGSnZYOkf7oC9XBu5NBV7LI2f0Ui3fiEZ0UNsNdBHj+NoB3/5HrWpH8d1XaampvixiUk2Up/7mx2ur7ZoBjGuo7m73gaV4mpN2ZMsKohTOnFKlErHwNUme5RcOMbYecxOr3DWS3SSmNWO4d0HbSqeS7Xa5tVgk07o8M6DDrc3Q4IoJbHvl1aKRpQwWfWpVXzqseLs/Cjt1OHjxboI99iBkOdoaiWXsaGSfcsN37rTohGllD2NYzUh27Eot6x1Uv7drYD//AuHSVLD27fX+ehBg06cUnY1rwabvHZgsm/I8OYxh2/fWKfk9YNTJ0p58+gYU1Pjfb97HMfI3sMnHY8D+G4Dh7v+fwi4u/VGCwsLvwz8sv2v6e55/GlE+v53RUIqbg38vbp0gc7ckYc6dk8JHbTh1ifSzztwSMytowhu3RCtvmMnYf4wfPBur5S8awEv7Np62G1S273a9mkBP6UL5+zu57+1FxoEpDeukR55kXhtlc7yck8v7YvzHu/rAOfeErdW6tQTDWkZz/MZKpUZ8jXNMGEjSohTmQBD8RLmZnhdVXjWL+w75TwHhKbRJJ0QRyvKNcN6vcEfXY34wytLrLUj2nFxLFl2MdQ7Ce2wzYsT0sfrtFu8MOKwVHdphgnGyJ7vSMnBcRSxlfhqRSkrzRBHKVwg7aIFdWKDo1K+9tF96s0mFx60CFPpYYIMZ/7o2goVx/BTp8Z53VJxAI6UDRd0xPLmYI7gkXLMbtfvwx5jaz90vzE/P7+n2z0O4Ps2cPLcuXPHgDvAfwr8Z4/huI81djUvCh7OvGir/y8rS6KibIBOG3PspHg7LN6X7G55Ue7oujLhzYzCO+1iTc117d5uuj2gdf+sLyt6FmK7PqYBo+zrYtfzsr977q4KsdIBisialNc//H1eW11GleX3f7v5IkEUQCugySitKCWIe2XfY2MNuu1HJQdCQG/zvWIwaAwOogQTp4ZWlFJxFRcWW4Smw4NG1PuWWWDNHidKoBmmjJblktQKjo6WuN8QEHUUnJqqcGm5zWIjJkpTWXhJDVobWpEgqadl20SBnapqbm8EdtCj+HBRJt5TQy6+77LZCfjn55f4J+8vUXI0SsFMzefPHq5xcNjn2lqQD2D2wxHc6gHyMMd4kvHIwLewsBCfO3fuvwF+D6Gz/MrCwsKFRz6zxxy7mheVHs68KPP/xffEi+PqR5a7p0R/rzYM03MiStpuiVApyIXcadvlTKta7LrFyppTLlbd9kJveRzRJ3LwJGMbFMk2QHJFG9v3zAvP7tsqEUY4eqL/6AN8mYdVTFOV2YwgbHYIlNPndQECcq49vLZ/QuubngOWzfCy+3tgBx6uDCSA9U7CrY1o4GN0zeTzZ9UIE46NF6tmMzWPzSBmM0iZH/a4stJmrR2TmBRXQyOUEl0bKW2V7U0GsXQiE7sad2M9oOwqlpsR9TAlTQ3NMMb3YoIotv69ismKy3DZ5fZGwG/VQ75wuMbPvjzx0CD1NHuAPBYe38LCwu8Av/M4jvXEYoB5UW4QvrJEfOBQbhC+L2n7G1fAdwvP3UwKPTUCbNcvC/AdOwnLD6Q/lcR2Vc2KdjYbsr2Qlb6OthQV9aebzT0NmWP3lFshwOb51q/XFD/P3OlK5YFT+eSTK3zgTHA1qBIYTUmleMYQAyGaJE6IdH//KbvEDVB2FFVP04xSaq5VYjGGdisgRJEgOn4Kkb7awENphasUndjQirfX2st+nrmuZY87Uio+d1rB4dESYWLoRDGfrAVEiclFSfNJswFtJ9Bx2qs7WPUUG52Y5RTiNM3540ECsUmILT8nNeLvUbODkzA1fLjY5sjop1PX77mRcFAvnUVNTIlYKBQG4fdvg1/CmZ3vnfLuEQRMGBSeu65TTFpBgC0MYPmBEFKn54TmMjsv5ObhUQHLKLI7t7avFcey5WEGtdTtAORpjsxAvA9YtmYOAzIJY1+DtGsFzpp/5zvQrifHnp6DU6/0fUklqeGt5gjvxiOEiBZeiENbaRrGoUZMjJS1fQ9v/06N/H5yyGNu2Gdu2GfSqid3tEuMtgMPQ5mUiSGfkucxXHJILPjsteOa9xCB+41ABiUGfEfz5nyNX3xzhrv1CK0VVd/BdzSRpdxkr2Km+pKBXmLTSYNsqkSJcBJT09vH7NbMSXJBB8nWGmHSM5n+NMVTfgU9vugjFt+5IVSJuUMwNYuy6XxuEfnReQGpAdE9zODKh+J565fEQrFckRI3A0DHkSxveq6wxXxwt2DERsH2Q4yBHL1+ou9TFborW3Ntdh1ZlWnfly8C7djS3rrO5SrUNrKJglZ2wm1NxzMOZJLI6+3LBoxJkx7wO/+gxaouU9ryOh3UIVeSIVIUFWUIlZSHOSnZ3i7LwDSGLxysESeGi4strqwGxGkqunoKklSJXJV2mJmsEWyGxKlhM0geapGmEaXc2oiYqHp85fvm8hLz3XtNVtpxLpxgMMRWKivPGFUBagYB0dGy5KNxSi8RO/9H71kqRb7VAgKE32u+3ZOK5wb4oJdYnL7164U3xtbbbTGN7o6+YcbYhOzkxpFc1KPj8nccyedqqAZJ0mOLaS6dh/UVuHU9e0T2tXP2NE9vM7koRfEa+D5Ua/K7jTUr2BDb6e1WoyUlXxpul9F6Jr+VWBtOx5WMuVyG+gbpv/ttmDtMY/UBydoqV5J5PBxMHMtqmw2tYFaHNFJF7JYwdoHEMcWpo8C3gFP2RADgzmbInc2QOE1z1RVHK0qOsqw+2AgSxssu9TB5KE65o4We0ggT3rnb5P37Td6YF7+Wq6sdIS8bAb12VGyUOKr4jsgUv7LytxWlOFsmMlb+QgQcuspsgzzv7jLZ2UZodS/xNAsUwHNU6m4Ns0/T6Px+W5vmU7PWLhK50NstAcNS1WaBNfB91CtvwI/8pGSKn1yRFbYMGB7qc/Cn8OHJ1J73Eo5rb2/7kknSNQlwYXK20OBLbT8zDPpd5Fyn4JGAgKbWMnzyS6JY7fl2pxnxMX7vW/CHXwM7ue/ERoZIi3cxi/cwq0uYVgNjDBOmQ8lzOH1wjCFPhEZ9B7LruxijGIY86ZnNDnt0YpmwK2Tbo+ppYiM0mJKrWWzEjJadnFa5n9CI7JRWisQIYfqPbopaT5Iabqx1iBJDPYipB4kQm7seQwFDns47C6mBsqtxLJBl7WJHFVNkRwuo2VVgUUZzFHEi63z36yEbHWEZdHt67CUygYJ37zXtfnEhUPDW5bV9H+9JxHOV8XXHrlPe7Uyju7cwQHh6x07CzWtyIXfa0rt74biAYhiiXnlDMj2bKTI8KkZEGagY1Xux7yn+FD48gywhB4VjrR4zYAP7ZWBrr6AN926KZy6moOgMSo2UA6RFf1MhU+0E+RIBuf/IiLzWVy+Jm51qAJI1ldYWCRMjQJxlfM0GRBEzL5yk6YwyVnaZGvK4txlilBLVYyWAkaQyJc0mrCIxr9CpyD9FSSqVvFL4rkKhiI1hpuaxESRUPFkpy8rOnd6pjNKS45jNJhcbUQ4gy+2Y4ZJDmAj9xt4sP36WscWJZHplT+E5Gs/B9vYMcQKupzg+UWa1HRMmBqU0xkR4CHi3o2y3WQYl4xWHzU7CW5fX9m2j+TQLFMBzDHyDprxZ5L247p/Zvp65+K5kNFlPKZOHyvpOtRHUyTPFcbLytitTNFOzcOWjQnUZs0/Q20vss3x+lNBavkSqNatEY0RO3iok47gCermpOAXQa4dCqSWbaGNXJYwMf4wBEgExx80tOxPX5ULH58rEaQJchhvjHFnd4FhzifPVg/jW2UhZs3cTx0QG/vzpCZRSDHmab5gGK+0IZYcJQ3Y4MVlxcp0+EMMfpcB3ioyuJ1FVkrGdnCwz5Gm+c6dBnA4mPHeHQW7TnfhXXNkDyQBkuuqRJIbQd4iSWAgAW47TjlIi+z1Rsjw+kOfkWpn6iqd5abqS21K6rkvNVySJYakZEaaGqqsY9jRHx0rMDosy9H7B6mkXKIDnGPh2M5XupkiYNJE+0pWPZJCRxHJhK6AyBOOTMDomXL3l+5jLFhQnZzAvvy4fwq5MUSmFmZwWIdJmo7iCBl1R+w2thRid77lmx3uCIJhJyLck68rFF0wKYSzgZxg8lEkTm/kaKWerNTnfxmaxrqetYVMYgJtCdYgExe8OnWbZMZSUi1KaEId3oiEmyjCetljVVUpdHMjQ8ZisL/Ha3Ks5x+znX53q60UN8uOYqXnc3pQtCXl7CqhKjOGAdUDTSnFotMTskMdGEPPNW40eI6Gsp7Y1143ssEIpWGyGhInLH36ywUTVy/l8Bpd2nNIIins7FozB2kwq4fJVu9qjNc+h5IqYadl1ODFRll3hVkIQp8SWIlP1FcYoOla9Zq2T5CIK+wGrp12gAJ4T4NtOlYUf+UnUpYsyyDCA56NOnMlBL734rtzn9idw/WOR5fVLsNEqSrpmo7hgo1B+PzaBmp6Tx/7wPcyDu5ignU8ejUmlTHMcadBHsW3c8+itu9QeW3Ub/Dyu6Ga5DYikC8S2/nynqFRtWW2Pn5utWwBVSibEmZp1qykubLpKSTUkwxwSSadSGrOqq7we3OUo61wpTROaFL9V5+X6LV5p30X93iqp5Ws62ukj2f7GhRXCpPe1OzVVZqUdS6akBb6MEdCreppTU5We2w+VXP6LN2eZH1nh3cUON5abdJKUpGvCmoVBqDOOAl+DQkrv9x60ODTsc3KqwonJCouNiI0gphGmqKyMNhDEoJRsoChj19W0gHjF1ZRdzZCvOTNd5WdfnuD8gxb//pMNVloRiTUsyrZNEjvA8Z2U4bLOXeVOTOzdw6Pk6r7Xb+vvv9fxqQe+rVPYblUWde826ke/jDrzOWpTU3TsjmDf5PbeLQGnKLa9rMReo3YqublZfJpHxnL6CnTRY5pWlRmE9+dk/T37tZxx8xK7tpb7UNhP+H6nvk9k22PAOWRT3BR5zAyo9tTht88vjuwQqCTUl8wxrjYqfbo4lqx6Y1VuG7S54k/ip7HQh5SWzBtAa0om4Zo/yV9cf5/XhiK4+7GUzK4jXzb2/efebfjRL/fxAI9PlHnvXrOnXHO15s8ernHxQZsgNcRxSjsxHBr2OTVVsWAo0W32044S1loRQVooQg96JzVSBjoKqp5mtOyx1AxZakWMNlzmhj3mhj2WWx4rrTj/uGXH6u4nCq/P4BsBM89RHBopcWKynKsiX1vt5C3WRihewkA+Pd4IEobLbu4qt9bZ++dp0Os36LX5XsanH/gGrC7Bzny9vvu0mgUZN4oKmkVk6RVpLFnf+GRBvdj6WK06Jgil3F1fkbI4ExdIU+sp6BY+vNnaW6b7sdMgZrt4kito3eDmuvJaFL/cI1jb30ehtApefVN2nT/+QI45OS0yXo1NAa6xCXkvOm0C4xSZe6Nu/UsQIGw2CI2GSkXOJSOXxwnMSL9vp/f/7GyV25tBn5FPkip+8IURvnxSVEUyqfitoNdt9rPWSdBAGJueV6M7dy5pcBxFzXeouJohX1Sdq55DK0pZbce5mXg9SHDthsZ2r3Bis8eZmp+fU5TK42dDh2Yk3EeTkE+TMTJdVogW4cPGdq/f02SE9KkHvq1T2O7Ylq+3w33QWhr12pFsBAAjNJZ2U4yxXVf2dqdmUNnkdmwCVRuTi62+aTMbq8RS8sWTAyQzdN3Cq9YYOw3da6jCvtH1ivWExy1Ymm1SBB3JyIwpptTZee+lV5llu2/8GVScwPwRjOvC2GQuKmGm54p1v2oNxiYov/Qq4eSs9Etn5iSLbtUl84sifFI4dFJ2px0LepWqTNqzh97m/d/rgv1el/DbkXz5dE9ge14CYLrq5cThLIZ8TRCnBF1lY5AYXFFDQNPfK8yiGRrS1Nhsz2Oy6nJ9LcB3Rd8viA2JSUSgNWstd51jFkkqpfBEee9Q8bQLFMBzAHy7qrIM4Ov13ac6JFmH0v2ZVzY4yPlogdx+8T7UNzDHTqKURvlllN0cMe9+Qxr3qZHyzusCWW33dEdGpX/YauwNQLaGssfSWrKmVkPA+VGiWykmDKyogv1ZlhG7rpSj8R5sL7XddNUapV04+ZL0Vz86j7nwrnwhIMMgpueK7ZdX3uDE+Iu2nMp+P4tfPUbcatGJEs5ED1BrlzGx3fqYmZYNna2fhS3v/yDi7ZmZ6sALdi9L+ONlhyBJ8RzZjx30TkYpVP0Be8NKMT3kMTvs4zsCghVX4yqHMIoJtkG9jK/nOYozM/KFGtkdNoPh8op8kabG5AscmRCQZ7NJXyscpZiuyXClvM++3NMsUADPAfA9DF+v7z7zR2Q1LU3konbdoqRNjfT9HEcuImPslgK5DJUZGZehid0cSY6dgssXewEvC4McN9/X3S/oWXqNgMPmNgAAIABJREFUwd4fKQX3ysnbMbbwDZOk2JuFoj+351M1UtanGnP+O3D+u5h3vgG/8FdQu0zcz6K3Laemaz6vnXwNrV+XjGiX9z8Du8sr7Vy3btpOUx/VGaziOZRchyhOcZXp4d7l3QIjfr0jW7KqJDWMVl1++OhIDiCeVlxcatGOUsLO9iIIQL5nO1FxOTRaQivFzXWhsoyUNIvNOHf2NGRLNIZayeGlqTLzI6X8NX1l5nvfl3uc8b0frzzpOHoCEwz+4JsgGChp1H0fk13k2hF6SGinr5Uh4ZN5ntBH/JL0l/xSUSu4Dqws9dFjmD9sKR6Zz24oZfLGGsSh3L/T4ZFGvFlmo5WU1NspOe8ntjqjGSPHjey6XreG4J6Ol722WspYgE8uwT//VZm4v/KGfDkYIxP3V96QYZR28nLqcweG8B2dL/V/7sBQL0Dt8v4nR07kWwaZbh3A/UbIlZU2qekl3mZGQb9xYYVfe2+J37iwwrv3mttuIxyfKAstRon0k9BK5G/PEZ/ekisy893HSFKD52henqr29MROTlU4MlpibtgbCHrZK69tIp4YuL0ZsdKKOTZeYqkZi8xWAq6jsQPqHIjDxDBfc3MO49PUl3uc8enP+PbB1+u7z8qi2EO2WzA2brcA1iXLcRw49hKsLvfy7zptK56ZyG1GJ/KLNT/+C6cw59+GdqOQqUptj0xrAdOw8/BglQ8WTDE8eVKRmZ9nmxsYO2BIdqfTKG1X0hwBz1ZDvkzu3IBLF9Fdhk2DYms5NUi9d7f3/4Px46zeb1NyxcMiA0xHqx5Dn5KruLzc5tZGsC+v2LOzVY5PVvnOrSAXGUBeJbQSWasXJsqMl108V7PYCAHFgVGfHzoynJuUdx/v2mqbmxuDM+ssm9TWnjJJDSMljW9Jzb4F8dgYar5LR4lvh1Iw5DkYDJNDPgqF7zxdfbnHGZ9+4NuqyhIG4Jdyvt4g3b3sPub3/qXtZVkaxNHjAm5LD7IbFgrKIJp6B4/mHD5AMpUtj6FeOisl3Yfv2gyxIhkfqUyIW+HeOXhKy75qj4J0Vy7wp+LC1jV1zsBbK0iy0njLOWVRKsvPHds62Fy34qwp5mu/SWJEmkrdutbnireTXuJW3iaeD7URjElQUdTz/l/7cD2nXSQZg9hGZuiTTVRvb4ZMVFw8R3G/HrHajkmsDt6DpubgsJ8LC3Qf4299+SX+8q9+i3ogK2FZL00BtZLD6akKFc/h516Z3PWVdrTizmZAagyu2l5aS0pWl7maz0zNQyu4thbwynSVP27XcZSQnUuuZqxcTJIdpTg4UtrTuTzL8akHPqDP7nHP98HAlozQGCM9s0xNeXQClu7b8rd3arh19a1HzqpaFVDNuIFZ2ZjRT/bsoWFkkhyntrf3mIDuYT08TGqHKMo6cG9Hp7GIqOxaW7Nhy+ZQgHNtBd76dUBjTr4k0/Fd+Hfy8AN4m3FUZPhf6r1fO0pYasastmOWWpJhd1NKusvPjSBhpuZxeaVNO0olC1JCYl5txfzrS2t9GRpAxXf461+Y4198uMpKKyZJUxytmRlyOT1VIU6lJN5rXFjqUHYVQTT4/UkMzA15/NnDw1uoNilnZqp8526Dqu/heR5RV082SQ3TNe+p2Kx40vFcAN/DxqCJcC5KkNErJqeFW9ZlLgT9pXTfBem4srPbqMsF37aPk20+7DVTy6Taq1UpFZ8Gqb4olHPyy0BUqCf3hJFNGM+z523Vpw2SAW5uCFVmdFyoKlsJ4dvoJe6Ht5mkhuvrAY0gwdGKiqtpRAmNMCFIUiYqXg4cQWwY8TWLjagAva5wtKIeJNvutL4xX+N+M3os3LYwStgIUnZqhBwfL/WAHkh2d3a2ym+XHOpBgtf1u4y2MlPznorNiicdnwHfDrHdRDinV8wfQX/553szua5SmlNn5EK8cQVz54aQc10X06hLadtqyoWfadW5nqVX7DXTUoUAQLbylQsf7PfJdmV4D3uM7sgy2GwjRSEgnSbFVkpis43ESoEqLVmi4xbCD0FHMuvpOcm27ReOuXmV9MaV/tJ3H7zN8w9alLTCbhgLby5JiVJDlBg2g5gTE5UcnIZ8zfv3W9v2u3xn+wX8h+W2DaLXtKI0FyDtecnt3xpY76TMjxS/yzYmHK346VPjfO3qOkGqCA35QEerlAuLLT4/P5SX8J/W+Az4doo9KrgMKqX71t42VmVjo7EpF35lSPqDQUfANYosLWSf5WUSQ+b84Di7y4HsJTJpqEcNx264ZDL0ObE5tVslKUQt+dtxZCiSSVwlFhyDNiQ1Ab3rl6WMdi3IbSl9Ye+8zSQ1/OGNTTaDhPV2TGJkVWy87NKKUlpRQmrg0Ijsyp6drXL+QYtv32n0ZVLZ8XYrE/fKbcvpNcttcWlLDNNDbk6v2c3jV9Fbom/NKl+ZqfKN23UurYYsbnaETupqIl8zXfUeSorqWYvPgG+HeJiJcH6brSVXfVMa9yAT3Ci0F3hs+YBJIeOU7NDn66bZ58qTdvM9c2vbTRSg/5kW/9Ta+n88aijZW67XpQzPJt6OA1ggrFSl1Pc8+be24FetweqSXQc0cp/lB72gZ82zu0tYZmb3xNvMdO5ubQS4WjFRdWmGAnZBnDJd8zg2XmJ6yOMXzhbm1mdnq4zYMrEbEJJUJJ+mhlxW2jG/cWGlR3X4Ryf2PijIzm2lFbPWjmnHUlZnYgHHJ0p4WsjQ20XVEyAzhr6sMoxT/p+3H/D2nYa4tFlR0yBOMSa1Wavhw+U219cCfvjoyGdT3ectHmYinMfWkivsFGbhWRlIVRSFY9sHS2KZ8uqkiwi8Bfi2+ukqLRmaiYrBwL4jY9UqmJguvH8fJbKNkXbLEsRCOfdsU0Up6Y8qXZDIh7tqs3LFytQn0u9btr4mzpBMz63GHnSVsPz4nrL0XCjTUVIyKkWt5FDLtfhEEMB3el9LRyt+6tQ4//bKOvUwEcFOu90wNeTy8VKH4bLTpzq8ltzji/PensCjW8RzEL3mnXstonTw6ptGJKocrfnZlyf6MsskNfyD7z7gO3catMKEMCFXdNHGWG/fkKqnKXuaME6pefqhydtPc3wGfEhZGrz3bdL3vzuQNrHfiTD0llzGWG28zHpSfihAlcQyBJieg40Nm8mE1mOiO/Ma8FHP3MzyHhn0d372EMpq+E1MWS8M/ejiBq4rHMdyRY67siScPRDwt2KiVIfAK0FjQ/ZpXavdFwQC/pmJU9tqF3baMHcQpmZ6H8+WsD0czPq6tBgSu8ly8CicOsPVj+v4rmKi4nK/EfVc0BmFZbziDlQReX1uiLv1sG9IcXNd3u9DI71DlZKrWKwHnH8Q7Wl9q1vEM9PXy6JjS3BXgfXk65Ggd6yM/JDvDByWvHe/yXv3mrTChNgUzQxDQYtRiFdHnBoaQcIHD1qcMZWnQjX5ccZzD3xZLy7sNCFJe2SrdqJN7BY9JdfS/WKRP02LRj8UHhTDY3D0pGQuaysWfLJSV/XjnrKg171GlvEKw32AlusJkBw8KuB78V3JsNotdu4kbffElRVY0LC5JoC6vGizZb9Y8avWBOjmj0i5i4GZOQGqzQ3JgufmYfagAJiyPUxPVK4BEYLIgM3zCd77Nhw4Aj/yk/DPfkXAFuR+YxOSaf7B1+hMfgGtdS4Vv3VKGyTptpPW7YYUVd+xa2H9L0nZ01xd7XB2tsp795v88c26JSqLgko3UblbxNPRVjXFRjtOMYigaJim+fwpk7qKE6g44CjDf//WddpRSsXXvDhe5gcOD/PVj1fZCJK+neGt/04MhKns8d6ph7Qi8dv9DPg+RZH34sbHoFUs8e/FZnLHsCVXbjaeAUKmWWdSyWqyPt/QMPyZL0pWU66Ic1tGjs4EELo19jJVkzgu+n5pRoMZVAhtE7E1N8/AM8zW2/Zwf9cr9AO1Lqa1WW8y791pUZ1JU5HuqorzHJVqLj7A+gpqZh6mZjHXL8HhY4W6zew8ZnRChB9cR8Auk6rK5KYmRgnf/SbmowuYuXnwBxuNxytLrIZLLHrDJKmxopsKY0TI01GKA6OlHUu7QUOKX3tvacdNvU6U8q8+WuH3r23SjJJ8c2OtHXO/HnJrI+SnT4/3iHhKRhrm52GMkfU3R1PzBAiTtMj6spf9XiNmpOSglWKzk3D+fouLiy02OgmFL9z273DGN8/mUavthG/dbvDzr0x9asrd5x74Hkq2ag+Rl1yXPrDKzH5hq5iBINh+n4ChOv0q5vJFuPpxsfPqOHkjn6BTZIAZwMijFd4V8R5BKw8ju7zLS/LHsZqA7OJCBwJ8xhQyWN2P7bjg26HG9/+wyPbfv2N/50h/z6qlmCBAfeGLsqIGJL/1j/sns1OzMiBqtyCwXw4Z6FniuCqV5cvq9jXU+BRbIzHwu/ogrXqDcLSWu5Blw4mTk2WiBD53oJ+EvFvspDqcGri80uKT9UAMfbTC0wrPgVZsCJoRF5eaHBkr9Yh4SkYaix9GYmiGCZ710EiVlLSZPH6YpHTiNB/qZxQVDMS2F5mkBteC2W4ze6XIj60VbAYJ791vopV6ai0j9xPPPfDthf6wnXT9TgOOfO3t9rUiM8o2NNK0GHJoDdOzMDUHly7KxYuBoZqAQqshzfxM6TjJyAxdHZrufpxChh377dHFUXE+fsmu0O0S1SHYyMzAMwDM1vdiyfLabQG90XGrYBPmZkwweEI+aDLbQxy/9rFkjdrpk5tSpRLm5lUYAHwfJDVWU5+DtGi7itZmAzfooE1KSylut8qcOT73UAv526kOpwbO393kzmZIENuMzYgYQGwBNzGG+/WYq6sdfvbliVx1xstMcyGf0DrW8a0eGPHCtBEmvUKnYSxafElqiFII7W+jPbCUtCoESQGMgrIDv3NpjUMjpT3vKT/N8dwD3270B+N5sI10/W49QKUdGJuE4y9Jn29jVbwjuiO1+73lsmSXR0/Ae9+UjGZzvcj8uoU9M22jKOgabmQPqoo/e10561ihU60FsCamZNiwGy0m01RK0t5pcvd5YqC+IcOdcgUmJqXXNmBCnjvZLd4V+82SL5NhW/IqpTAj43DsNGqmi9B85UNMkhBWKphqje0y3qtJFV8ZjHY4Ub/NYjthTZWJUZRMSnVzmS/d+QR9+sv0oMoeYjvV4dubAQrdJ/KpsKymxOA7mqal0nT3EP/wxibtOGWi4jJRcZkacrm6KlljOwpxMh54Khmd5yg6XWbjUWJyB7f8rdnDc3FVcZ4phoqjpWwOkqfaMnI/8dwDX96Lq/Z/y5sgAK80cAUK38dcvoC5dQ3GJ7fNApVfwkzNyMW/mpnxZA+QSgk8OSWN+vVVKWebDUBh0rRouCR2M0PZyydzUstk3xVFjw32uWtrb5cmAoJL921CqXp/3x0ZAdmz2yaZZNXWx9RaJrFDNfl7YhL95Z/vP4Muwjdjk7C2KmXtg3tw7xamUhXwrI2K4ECawCdXC26fQkB78T4YI5nklvcsMDqnDKl2mznPYY4iszXGoNeWMA/R19126OE5nJoc5uZaK/+eyEIhEu++/bhkq2JZD/Hqaoepau8lenKyzGIjYr0dkwJzNZ+JistKO+KBXaeDweIFgyL7xGjVJdZtCpCuuJrpqkuUQskZTJV6Wiwj9xPPPfDlvbhOo+fnWQlmgnZfD7Bni6Dkoyamts8Cj56AC+/CsZOSwbWaAhJKSw/syDF7AbfB91FaY46ekOMDeK5c8LkSTFyYZGtHJOu1XfEKHkHKqnh2kgHvZFaUWVh22r3Z6KCWQba90XX4gY+6hfBtjp0UAL5+SZ6XzYyZmpXX+P2rkj17Az7CYxPSooAe8POTiKgyjEkilNuf0ZVUiiqVSD65wvvjJ/fdy9pu6KGVYshz6EQpUaZ63PV6pMYw5Ok+oYJBNo1aqVwr714j4sxMJT/Qelves72Cnn14fA0jZSFmRwm4jqLkKEbLLmVXUfUdWqFkntvFsyZs8Bnw2V6cf+8m7fe/21eCma/+0/4LunuLoKscHDQJVi+dxdy5CVcuyo0yM3KvJCWlUsVGx9iE/D09B406Kokw5aqVarK9waBTmOhkJOCVpcJsp8ed7SHoKFBQY7qVXpSVmnLcIgt1PTmfra5q3T7BWakeJ3Leo2OFbWdXv9R8crnnC0YphVEKhkflddFOYdl54BDcvAJOBKGTvz6xo2U6Pn9I3sMXTvUQz08cm+M9bxbv6sW+9zQwipfdFomBt5ojrN5rPpZeVpbFHR71aUYxcSgqzN1HUEpxZrra11vcaWAyU/NoRilBbChlg5BOwoPG/k2ptFbEKbwwXmapGVktP8No2WGi4jJWdrlTD5mpedse41kTNnjugQ8E/EqvfwF98Fj/7wb1ANdX+1an8tsPmgQrmw1l5V6SFDXG+qpkgUkCjsasr8qF/sJxXEcT3bkpAKQ1lIeskktbANQvF4bkhoJSoi3QZArP+XnstfxVvaCnNczMw5EX4d4tdKtJOjEl5714DysAV7BouqfNBhmCzMzB5BTcuoGJkyKzu3sT3v8OLN7FlErynDKwW18pXt/uLxilhN6yvGg3VwSodbVGohzJoI+d6BMyfS013Lm8xpLjUuoa/gRGMalDXnUaMgDR5cfWyzo+UebSesrcsEc9KLHUjGiEKWGaYgwMlxzenB/iv3pztg9Qd7JpjBL4qVPjPVPWV2arbAYxn6yFexbpyT6G7TjlfiPktdkqWmlW2zEvT1fybPdzxvD+/dZTbRm5n/gM+HaLQStQGXDFSc/qVB5dBjbmo/OwtoaaPyz/P2EKSat2C1aW80xIMqRE+lSbG+jJKbh/15aeRoi+qdXdc5xC0ilbB8vMhUDK30zfL+P2ZcOLXaMrYwMBl6ANly9AZQg9e4A0jgXQHGsulK29dd0dxxHTpNe/X/7/0XlYW4Y7N+QmifXFjRPhNBoj+oRhIH8214X312pK6frR+YKMnDnPTRcbHNrzSKJIXtdMyr4rHK340vERzn/U4sqdZUJcfJXycinilQkXRymuBCX8mYmBr8rD9LLOzlZZSyJuLLY5OVVmtOyw2o4JE8NwyeGnT40P1PDL7ruTTePr9n7d5xPEKQ8a67SidHfKCr3DligxKBRzwx5HxnrFSJPUcGfAxsqzKk3/GfDtEgOFCiwtg0qlf3UKeg2MtvAEexzDlu7LPurIaO/9HQ0P7hBvrhUm5LdvyBTXcQsTbSA3J0riQkoq4/45Fvwyrp3We9Pry4QBsiiV5JyXF0Gpgv6T8QwHv3KFEAHApQ/g1vWucaGl9NQ3yZ9I5twGFuQT+b1rp+OK4ouhvtE7KNoaAxJbkyboP3iL14IlXgtvFATo9QQ2q5j5I4SVYdSg99TGfntZjlb8hVfn+Id/vMn5B23COMF3Hb7/QIWfOT2Bv0OJuN3A5NSkz/W1Dv/L798miBNKrsPZWTlexXOo+sJPbMe7T3GzIsHTClcr1joJE9X+DO5ZsIzcT3wGfLvEQKGCqRlotWH+YOGba6NPdXkbnqAxRrwlolCa+I4jggXVIclw0oQ0aMOhF+TxVpcgtG9XtufaalrRTwTcXFfAIDMA6u7zmXQfklWmGMCASGiBXCFb7TjTtOj/gUypy1XruBZKab+2LJltt/dupreX9wOtJFemK5j1BpMEdFketzokP3MdAeeyV+z3ZpH1EsfG+59VNkAply0ncFEoRiDHHx6ldOgkg4SNUwOLViHl195b2nbgsVU/z9OKllknjRJOTxVgUg9SvnZ1fdee4daBSRin/J0/vstS7vuhCJOUP7nZ4PJKh584PkrFdSz1MyVMzEDuXkmD0oqqp3MvEKV2X9d7mi0j9xOfAd8eYqtQgVAv3pJBRqkkIgTLi/kivhmqierFS2cH9gjzqXB9UzhtWssF32wUCi6A0i7GctjM6LgAXdAWMJmek/3eMJCfLd4DVEFElhPt6rnZAUQuW7ULCKZ2F8r3JeuMEwGeNBWv2mZDHjez1Mxk5F3PgpMrADQ5Td4z7J7w9gmdmgL8umkxjpYvhCiS51+tybpaEsumSBRARKHlNzMnvD9/QM+pK/tWShfrcl3n8OJkhX9zZY179ZimNQIXcJDX8fCInw883rnb4Ju3N5koe0SpwdOKlXZEyRF1E6XEp+NBq03ZMZycLOfbEA/bM/zqx6sst+KBPcilZsz1tQ5nZsp863aLsqtxtYiqBpbTBzLFHa24zI6U2WyFsvpmDCOew+Fd1vU+LfEZ8MGu6ixbozsLNJ9cgo8vCLhla1hxlFNbzJEX4eL7vT3CbCqstdWfs1lepy0XeJLAyCh6YooUJSXx2kpBV9H2bWtuFvf3PCuEkO3qUlBMtKZvlLiXKJXh4BEhKFeqsmGyskjaqAv4OC55SZuJL2TAN1QTkELBipW5clyxz8yGHoNC6YKT2H2sTrt4fbQjmyCtppxXnIBfwjv9KnGnI/zLk6/2v8+7bOkkQcDN9YDrayGdOM0FR1daMZ04pewqPGW4sR4CJlcxOTji89J0hdubEXc2Q2olnYPcajum5Lm0g9A6thWfg4fpGZ5/0B44YMiO98Fih//piwcx5gEfLrVpxyklF2Y9h7may1o7Js62QLRmyNekxhCnYkAuj9Hi9GSZ37m8xvkH7b5yeqfy/FmJ5x74MuJs0K5jHsh2hUmS3Nxa/aVfRG/dtqDIAlPANFt9XL+c2jI7j5qY6u0Rrq+S00FaTQuCqgCx9RVIEkx9E775BwJonXahv5dGAiZRJD8fHhXQXVsTWkuW0Rkky3KdQhLLcQXI9jLdrVZtz00X5OBWQ4BuaFiAOJOw8n0piatDRSkeJzB7QLJhrQpBBjNIUM7+IMsEs5K9XJbjDdUkyyxVCumqOC5K3XabZPEeplTd3jZ0QPadGFllu5pUuWGq3Li2gaNguKTpxIbUmLyvl6aGB80YrRVRbEiMoeI53KuLtFWcGHxX0c5tKX0RQqDbsa33c7JTz3CQ7PxKK6TmO9sCuPQQNV/5wlzffY9PlDk9WeYfvbfIjbUQYwxrHZG5Gik5DPlCX/nunQb/8LsPcLSymWtvOf1LPzD/zIPfZ8D30XnMyjLx8l3Rw8v6RQr45BLmn/0K5i//te2lqXYTObh1DfXn/pPeHmEmTDBky7YoArQtHzvyx0tlSBJFcoFngKEpfp4mENpd3QNHCpEBN+NbWfBLYnJTonSXMjfLDl1PMivHsxJVCBD6XlGST0zJzzbWC3n5bEsjtmD4fT8E3/kjWF+DpCXgHkUyvTVd56K6KTSq4AbGSbFGEAYFqCaJkMKVki8SB9LNddR/9IPb71BvmdAnBt6KplhJffwkYr06ahVPZM91yiozb3ak5G3H0gMb8jVxKruxUZLiO9qukaXUSk4PyPX0/wZ82WzHf+tWYu7mE3ZiQ5jEjJcdWpERqSpjUErMkjKS8U79uL/6eQHFb98P6IRSmk9U3NyG8pP1DutBwmip9zXMyumvfrzKz73Svwv9LMVzD3zcuAL1NUyr1dskBwGYOzd2XGHai8jB1h5h8qv/l+yiZtPKlhXY1NqCnji2pYt3CwqKdmSNzHHkvEwKRkmWVa50UU/yM5PjONasO7ViqGlScP629tmUsnp5vkyag06+nZLtzPLxBZzRMdJ2ByZn5GfXL4voaBRYCXwHxsfgxEvol18XWsXSIiwHAli+L+cZBLKKp5TN8Ox5Z0bjpbLcvrEpzzOblmcDjOnZolcH+JUq6Q6rZt0T+sgr8fc7h/huMkqERqEgcHCUZEyRVUNZaSX57mv+llqBAVcrotRQcrFaeoaaPcUM5CYqLisd+bez5XOyE/+tW4m5O+ZqHjc3Au43UrRSxKkhSoUUvdmJKbsiL7/btPhzB4a419FUdcJiQzyCl5qSud7aCHG1cPtqA8Dv/IM2P/fKtod/JuK5Bz4TBrCxKitMW8dfBmg1xNz68oWBvb+9eDz0Pyi9BKqslAMpC4dqcOwkur5J0qzb0lAJEPglOzBAMjO/bD1+14TztrFWqCj7JblPGEjWOHNApphxbLO4rc/XXuGupcw4DuqVXiAxGX3FdaQkh+LxlIahCrz8GuqFU7nLHDeuFFPrbK/XL8l9hmcFADMSd2ZNqR1ZSZsaF53E2rCUyloJdzLT6uuOrfvUWyLrzXYunOd//iDiWlrBWKMmx1FWK9ZQTlOqvmajY+XlrSiOse9XNkRPjUEjmRYIKGTuZBnIzdQ82iZhpR5xaKTYfNiN/9atxNwdp6cq3K2H1INE5Kky3rgxeI4mSg2/8vYif+37+gnRW6MdpQM9gttxiqOg4g0GzzCWDHhQKf6syFQ998Cn/JL09LZ6VRjyXlsmETVwH3ePTmw9MTYux25b850s40sSAYayrKTpsXGSss0IehRPbDiulHvrKxYwhwXUtAPDwwIgzYaVcPfh1TdkSyLzAW5sWg09+4SzcjiJ4f5tUBrzzjdydWalFIxNYNZX5DxWliSLDDoy4bVDBtZWMT9+GvUHv5er2pgXT3ZNvktw6hU4elyyzn/yy/bNUDKsUEowOSu5D7+A/sX/VtoSO7zW3vGX6Ozyfqdo/s7KJLedlkzXbWRqXwYIEoOXSCalFGgUCVnWZl96C4aepxiyKgMjZQdPKzaDNAc5reDFiSoTPoxXHG5vBNypR6TGUPMcrq8F/OCR4ZyMnMWgPV15XMVczSdOAjk/+7KN+A6TVQ+tFTc3gj1Ni1dbwWCPYKVk4LEN/cl3nW1L8WdFpuq5Bz6OnoDz3+3/ebYRURvuIelu3cd9GCc2VarYJfwHUiaGgTzGUK3ok127JNnV8qL164gKnt7qkoDM8IiA8A//BOrmNQHmLu/ZHEhrwzA8KtJPB48WvMHJaSFGp3YlLg6lVI1jubK1I9Pkdgvqm5gXT8nUOujAvTsCkPWNwhgpk5T/5BL8/f8TM3sQVZbXpJs+YoIA9cJJ9JnPkV58FzM2KdkqCNhlE+5M02+9nchyAAAdyElEQVRSCMW7vdb+q2/KgGeHOP+gxY31IM/etrY7s2o/ssa1npWD953sxnIxO0qBNoyVHfmusPaSo2WXMDFMVl2ixFByNW++MM5Bv8bvXl5nrS3cPkdrUuD2RsBvXgi5vRnw06cmcrDYaU/XGCi7moND2+zOGvY0Ld5uvjXkazY7MWYADSCIDZ+fr2xbij8rMlXPPfCpl85i3vkG5vb13qyv3Sr6TKO9K0zd+7gP5cSWKbYoJf4R3b3FLPV4cIe0Ui22MOIIGg1Ls/cKOar6Jty9jTn8InxoaTNd/DTz8Xmb1SlRd44tWDmuPHZGCt7cKKa92dWfxkVGuLIEI6Oo6Tm8Ey8TLd4TWk0cFZ641Zrggl+CO59ApYKpqwKEs3Wzqdlin/nGFQHgpfvy+q+vyjGVXb+zBkPm62+hfvTLqJ1e6223SIq4utohtT0xR/VyurMMy9WiUOIocsXjsqsYKTmsdRIiq9vk29JuuRVTcTWHRkucnKz0lXpTU+P82/M3+HC5RZSktOO0ZyhRchQfLrY4MlrOwWKnPV0UfYDTHZl3x24xMeRT8XRf1jdWdgnitM8/JIjF3/dnTk/w1Y/XdqTVPO0yVZ8Bn3ZQf+kXcX/r14ivfiw/dBwpuUplK2s+YIWpa4Nhv05seeZy/eP+rYOJSatc3JLHGLP/bzULfpvWsh0BEDTh7T8RAYB2B+O6MH+o6H+lNoMCAUuthANXr0s/MFuhSxJRXe7epgDpx8WRGP6srchto0AALPMDHhRpKtlsBuwKue2De/LcKxWSMIArH8qecqkMqysF6GXH8Dw4cCjPsvWZzz2U610WQZziao1SKRpFqkzP01UIn+30VIWfPjXO+/dbuI7KBwATZUU7NiQm5dh4maNjZf7jF3fva11d7VAPEtaD2HrZCqncGHE1u74ecnmlnYPFTnu6R0ZL3FgbnK5lmede1FKqnpPr+62248Iuc9jj7GyFa2sBoPI1u8/PFzy+7Urx7tf5aY7nHvgAtOsz8lf/O4I//nqeSZjrl4QfN6iJDoOHFnuMXJb++sfiRJZlQ7Zpz5UP7VaCXUdzHGnc+8MIYViJtPr6Kqzbxv+GCydeltL35nXM4RdQpYq4lEVhsQMLtik0YukhI1Iy379jFSi31n428zKp9AQ9H/+1z9NSDnzw9vak6NSW2d3AbowoO4chpKOisgIy8a1kHhp2HU0rqNRgeER6i4/gf9IdJVczU3NprMUkBjsgsFsN9qlPVb1cPCBbzJ8bFq9dKAYT++ljBbHQYgrQK0IrmcTeWi++TLfbjT09VSJNDVdX2yxtRniODFeEiCxbJqNlp0/bb1C8NFvj36/VmRv2B/ALDT/78uS2WdtOpXj2+6c5PgM+G8pxemSM0ovvSiN9AOhtO7TYz+NpB3XwqExatx7f+s465Qrm6AnMlYtWldlGlsVlZWanDVU7gJk/LOd36iz6zOdIfmcB1peLhfws4kSGIaPjUma6Tq8UVRZZqV6t5eAZXXxXVuRajaK87Y5Y7B776DLZOXdf+GPWPa1tNQe71W7iRDLeLLbuCT9EHJ8os9GOWGlFrLVlZOEoZcteEQR9abrMldUOHy618RzFcEmTpljqysMt5pdcTTAA9LJwtGIzTPt+1s3F6x4ovD43xDv3mmx0EhphQpgYTk2WGbN8vL2opbx5aIwLt5YeSnFlp1L8WZCp+gz4tomHGVrsO7ZMhPOd37UViCLS8UlZV8ssJLNsTCuZouYKLWnfACbPjqJIJr/ZQn6WXY5Pkq+TrS2L5HxftqdkyJFa5ZTQUne8KoxPwA17/8mZAvwyjl1q9QC7RQQ6bcmqPM9Orul1T+smKHe5p+XxCFl2FlkJ+fn5Gp+sBdzaDAls5jJVcTkzXaXiOsR2ohunJgeCv7hLhrcdveNHJyY5PlEW3l+S9oFfiqHq6D7C8NbYOlB4c76Wl6lBnLIZJniuZr0d8y8/XN2VWvIoiiu7SWY97TJVnwHfNvFQQ4tdYqtbm5judATwSr6Vs29bA6EOabMujx9Zo54ksZSPWrFNAUJkHtuiIWezo5xn2D3wMGnxWL4v5XV9o3ctTjsCenIHAZ3RcYxJie/fkYyvXJGhyOqSbHG4rmRsw2Pw4A4cPiqqLBngZpzFTMcPet3TIuvp65X63NMeR5YNvRf7WMXj5ZkCoFJjOD9AbHMvk8qd6B1ryT1+cK7C3JDHzc2ETpQSm0KJ2XcUk8MOh0YGbwBlsZXbpxXMDXvM1Dwur7QJY5N7dOyVWvKwiivPukzVIwHfuXPn/g/gZ4AQuAr8lwsLC+uP48SehthpaLFfy8luM53crS2OMJ4vwNSsy56t58t+ahwVxOAkFlHOjNc2VCsywCQpJqXdj+f5Uq4PcCxjebFf7j6KZK92fbVXHcX1ZPAwMiZDiOuXSbqtKGcPQLMpmxVZX/HoCcyZz8mUuRtwr1yU840TmCyAOtMoNAcOC9VnH1l2d5al/SZp2NlTpjPoYv+NCysPPancid6xWA+46ER8+fQY/+87SwSxCOVlNo413yE2iuOTO5eH2w0UFq3J0FYvoCdNLXmWZaoeNeP7N8DfWFhYiM+dO/e/A38D+B8f/bSe7hgIYrtYTm4108lClcviLRGFqDNvSGm7FMHENDrokCw/KECoVJJpbrtV7N+OT8Arb/SszZlOB6JNTLMhPbLVFVkpu39PBicKcKzc1NQsZBaQqZGeXZIIQGblZqthBUUVdNpihZlx9zL1lLlDeV8xf40e3O0FsdEJIUYPjfQDtc3o1Etn95xld2dZngMb7Tb31pt883adkV3UjQfFo0wqt9u0ACh7mqurHV4cLzFSdil7uk/DTym17Zwoi+0GCqvt2G6LDLrP008t+V7EIwHfwsLC17r++w2g3zfwUxjbgtgAs6E8dhEzMDevChBtrBb9uowTpyuAkawqDKQ/l4HU7HwPIJggsH24khw3G1gorBeHFTzwUli+L+Wl60pGNzQs/99Ykz5juQIHDkmmlyRi5J0kJK4rmWnGAXScPq+Rga2CA4cEuD2/F6i7Mrr9UIOyLMtz4PJKh8hoSYq1oh4kfO3qOnfq4Z6nr48yqdwLaF5bC3hpulLQR+x623RNytVrawFvzNcG3j9JZex8/kELjGRbmbBAkopSzPQ2ZkBPO7XkexGPs8f3i8A/2+6X586d+wrwFYCFhQWmpp4udQfXdfd8To3le7KEPyiqVVi+R23qx3vv4zoyFNgmQt/Hr1YJM4IykGysoTP7RKVxrKqw/+qbABjXwz95hujqR7LvWirhHX+J8PJFVCwZWXz/DkkSoyZkOmoMxLeuy0WaJOgwQPs+6doKptlADw2jJqbwTp8lWbyX/zF2UKF8H4xBdVqoJEaPjuHMzuNWq2BgaHyc8IO37Tl1oFTGe+3z+K++iXIcMf7Of1+cc/b7/cS9623GRoa4s94mNhrPdTBGwMkDglTRTD1udly+cKRfkXlrvHnM4ds31ikN2FHtRClvHh1jamrwccZH2tuCptaa8ZEanTilVoLaELw44HYGBn4Gk9Tw6+/d5VY9ZTMwuVbgZmhopRrHdan5Di/M1AZOjX1HDzzufj7zTzqS1PD27XW+9t07NMOYsqt5abbGm4fGnki/cFfgO3fu3L8F5gb86m8uLCz8lr3N3wRi4B9vd5yFhYVfBuxSJmZ5eXn/Z/sEY2pqir2eU7K2urMiS7NJZ8ux0jjZUczAjIwRrdk+nt2W0ElCmnlTDNVI19cgDIje+aY18hmn88Uvobrc4TpA8p0/KYYCi/dkupoJMDQbUpbbUjVpN0niGDDQaJAmCYwfJ7r4npTUQduej4Ggg4lDqNakDdhukZYqxMOjhK0WxnVp/fo/ylsAgKjefHUB/sX/19MDVD/0k3mm2oFdV80GxdpmA6Xg3nrLUhA1UVaCA5GBNOrw9vVFjlV3Nxs5UjZc0BHLm4MnlUfK8bafkQPllPfuNXEd6bmttCI2g4QgNpR9l+PjkuVOVNy+jYgsfEcPPP47dxv8/serhEnKsC/KZO04od6JaYcxZ2fLDPuKTrvdd98gNnzuwNDA4+7nM/8ko7tlMT4yRKfdogP8wVqdC7eW9sWXnJ+f39PtdgW+hYWFH9/p9+fOnfsrwJ8HfmxhYWEP6pbPXvRNY69fwuyX3LyLmAHf90Oo+3cxy/eLcldrAR3XlewpioSsDFJ6ri5jvv5WX0+xRzGmy5YRg5SwIGVvkooYQLMhJa5XKrh3mW/whhVSUApqngxhwlCy0toIVKoymQ3k/j2m4LnxuhVbXVsWn+BdRF73GllpmqSGQXVmdrHstdR7VHrHzY0O37rVIExS1jsxrTglTqAepgRRwnhZ86CueXmmOnAdbDvu2x/drBMmxVpZreTkclFSAiumat4zSy35Xuz9PupU90vIMONHFhYWWrvd/lmMQYMMMzwqmw71Dcyxkz3gtx3tQr10FnP3BubKRwIeGZ9uaDjXrePl1zGz8/D1fw2NTdTQMOi2LJU2GkI9qdoPQJzAzNzgnmI3yDpdpuethvT3/JL06KLQqrlouU3ZlX7exlrBvev275icsfvMRjZHQJSibY/OdJqwuSrewEkiU+ooKsyPslVA2JvI6y6RkWgdrfp8lLLVLdjfFsGj0DsOj5T4sNzm7kZCPRCw9R1F2XMJk4TNABKTcGujw9GxAuR2A6jFRrjjhHqxGfNf/5lnl1qy02DoSQ1nHrXH9/eAEvBvzp07B/CNhYWFv/7IZ/UUxcBBRka6bW4KNSSja+xGbjaQk7eyP8YIDw8ZCDivvok58zrmo/OUF+/SfPdbMgmtDRfDhC5yr1Kqb5Wrm3zN6EShxtJuCX/O9hCLoUYNVpScYGZGlH0OM9pMJlk1NoEOA5IMUH0f9cobcOoM/L3/tdgQUdhMry1ZZKXauxmyB5HX3SIj0d5viFdt1tpPUkPV08zUvMe+RbCTBt21tYAjoyXubYZUfI1GVvLCJCWwwgRVT7PYjDk+rh5pE6Q3zDNNLfle7P0+6lT3xOM6kac2Bkxjc9Lt4j249jHm6kdycdeGMZ//AUiTgXQW1tdQB4/0PYRZX+kBgGyyWfvij9P+4p8j/ZW/W5CAtdNH7t26ytVnhlS3+7GVakFPyTw/sgyyXJFd3LEJ4fJl4gPlinjc1oZzySiTxMLtM8Dp1ySb/ei8PEb3WlxqZfFTI9nl1haA4pH2b7PSdH7Y53curdFOUlmyt1PSKHm8pd52JOW37zb4xq06tzc6YkPZjHC1wrMqxqbLXEmh2OzEVHy96yZIFjM1n9sbwcDbJqnhwOijb7R8L+N7sff72ebGLrGttLxJ4OZV6b3NdjVU3/4PmOtXSb/yS739q928ObYBANnpPSK2idvFgJ5iNy3EfEl6lOZrvykgGYUiKZWJlYIoOVdT2boA2Z91nUL+3SsJIIYhamy8yDrrG2K1GbQKealsOqvtBa+UlLojWybhjvPI+7eOVrw5X+P1uSFudlzevr6YZ2KvzDzeUm9QLyo1cHMjoB5Ir7Hqa5vlFSZFjiMqLFkWrdT+elc/eGSY/7+9s42Rq6zi+O/OzM60u9vdbbvdbktboBUpfXFbUgihRlQoglBMlDy+BKISwxfFFyQqEj9qTDBqE00MwZgYmpjHimn8UBW/K4FiW6ClLQUsLS3bl6Vl32Z2Zq4fnntn72xne++83Tt35vySJr13p/eeuds5c57nnPM/f309R84pf3EpFG3SCYvtaxY15P1FRRR9v+L4fJhXWv7EMWdZN6d2Kp2BsVHsF/4G936hdDrIbI55qUXl2fsevBPhXj8A6dSVvbu9/bD9i1ipFPY7zszfXNaIKCxdBieOGqXndBrLrflzip/tY6/BOaeFraT1t8hIzY870aWVmI0uwZHgWtaQ/lswDvCWNYsDZW9rpdJelNs1kUlZTObskjPKFszIxlLXH5B2lGD60smq9q5Ghns4dTnLkdEpxnOFknxU/8IUNw0tZGQ4fstbL96+X29s3szkjDg+P+ZzOhdGTSTjNtt7SWfg6KEyx1fTbA733zZIMKHsOt5WMvc6m7aaZfKGLdj3fH52XkYua9Sg12+GweVkenooTE6W9/xOT5kI0Kv11z8AEwtn5fRdx+8KGSwaMKKsMWHuXlTRhv9dyjKRK5T0W5OJJD3pBDPOZDZX6cttT0smLFb3p0vXC0IyYXHfR5ewpj+e8y388GbTz0wnmLBpenJGHJ8P8zkd0x2RdoZmVyA3x8nVEbU1SjChmutcMRlu7+4rI1a35zflTH5zlVj6+px+3OVmtsbB/bOJDVd3cNEA1tKhxqjcNJCr9WB796KKNhy/MMXl6XxZ0XDSsliQSrAoA/lCniLmQ9yVgIwzstLVvgsj2xwX3Pd3V0i1heL4fJjPWdC/2OyLzfdllJ6TEKkzaqtW5bnR16kYsXrb6xb1myWuW/+XSpqf9y2G2+80qtAn35p9flcRdIgKvx7stTfdwaGzU6RTlkcYwOzfFbHpTSVJJS0sK8GNfRnGevKcHZ9hZX83xcKMmc8BvHFuimzBZnV/hgNnJtoiaosb4vgCUMlZFLCM5Hu6QsIil4VN2644bQ+vhFNvmb5cMHVx2z6OtWGkpRxARSpFrG59YL5QyjSXDTqywdq4ddbBbbw5GtsD4teDvWnsBKd71nB+Il8SBliYSvBhrkA6adHdZTGeLTCVL3JxKs9gdxfXDaRZO9RLcWaa4xemmXI6aHq6zBDvuEwlazfE8dWItWMn9tvHYWy0fH8ul4XFQ1g7dpZOuZEEF89jLR4sFf/a2SzW++/BhpGwza+astrAbmezOZmEbK68ptCzd0hXuqTWEgt8Mu/Jk29y72dGnDq+KcCmb0GyNJhozCMtX7RtMikzCjJXKHJpMs/kTJFMMlESF0hY83cnxHlmbRwQx1cjiVSa4qOPm+zt0UNmTy+dhk3bsHbsLCtlqUnNJWIq7XXZq9fC8Eq48L7R4FsyZPb4Vqy6Yv+vUcKhYRIk8+7uRZ24OO3Z77N549wUY1N5Iy9lQV86xQ1LF5CwLBKpJJcti63zzq8oz/DGfWZtHBDHVweJVNpkbj3Z24rUWMMXFfPtdXHkINaSZfQ8+DDTY2PO6/YZ590sef4QqSbz7q09c5MbQ73md1wo2gz3pkvnF3QlGB3PldSRK+HN8MZ9Zm0caO1RSG2C7Vek24AhOo3EL0LNvfaKOU4kzazbjVtNhtu2jdbexq3mfKvvW87l2o9gZys7PjubLSu92by8m6U9KbJ505JhxALK2+WqwZvhDdK7KtSHRHwhUE8NXyT4RKgzJ94ARwqrUdnmVqCazPtcJRez9Jxtl5u7Eh3qTZPL24G6E+I+szYOiOMLgzo7L8LGd68r21oRaqOotl7SW1t3tbar6Zki29cs4j1nRq+fdFTcZ9bGAXF8Aal2uJCXUEZVNhDfCDUTLEKt55lFRa0R7NXGLV67JMPIcBcjwz2BpKPiPrM2DojjC0Atw4W8NGNUZVPxiVC71q3Hb5ep3mcWN64mYvqpjSsYu2gEYIN0X8R9Zm0cEMcXgEaUo1QbSdjFAtmDL1E8tD/0aGluhGrbtilMvnAO0mlyxw9TvHTpqrbEsYSnXuZrK6u29CTuM2vjgDi+IIRcjuJGS7npCSgUQ4+WyvX8jsOx10yd4tJlRm4/P+NvS8xKeFqNdu/NjRpxfAGoS1Kqlvu50dLiAZicVfQPM1oqk7KamLhSjNXHlrCfmSBUgzi+AIRejtJK0VKtAqpxK+HxIYwWMmlTCw/JiwehisLWRtBKBc812xLyM2smbgvZgTMT5ArFshayfcfHSsXLrX4PYRZxfAGw1m/GWjJoPrAemlWOYvlFQyFGS7XaEvYzayZBWsjicA9hFnF8AQi9NauVoqUabYlTO5tdLFA8fIDivj0U9u6muG8PxcMHsJ2BS2G0kEmbWrjIHl9AwmzNKpWTTI+Xna81Woqq+DoO7WxB6g3DaCGTNrVwEcfXgrjlJOkzJ5k6tL+uguemFV97BUZjTJB6w0xqdVkLWdE2Q4YuTuXNcKFUom4lZWlTCxdxfC2KlUiSGbmFhCMGUCvNKL7uHRxkOoS5CKEQIGu9bssNpRYyd9aGKztfsG36M4m6tfKkTS1c5Guk3QlSjtLBBMlaeyWovLM2CkWbhY4EVb1JiLkyVy7SptYcxPG1Oa1UGtOKBMlauy1kW1b0cClbIJmApAXDvV0llWWoLwnhvUc6mcC2IZ1MsGVFjyguNwFZ6rY57VZI3HACSoa5LWSHRyebloSQNrXwkIiv3Wml0pgWpNp6Q78kgyQh4oH8ltqcdiokbgbV1huuW7KAXL5yF0U2b7NuiSQh4oAsdduc2GkBRkA19YaildceiOPrAOJQSBwXRCuvPRDHJwhVIkmI+CN7fIIgdBzi+ARB6DhkqSsIARCR0PZCHJ8g+OCKhF5w9PK8IqH19OcK0SFLXUHwQURC2w9xfILgg4iEth/i+ATBB7/+WxEJjR/i+ATBB+nPbT8kuSEIPrgioamkVaa8nExY9GYS3L1uIGoThSqRrypB8GHz8m4WL0xxZHSKs+M5CrYNTmZ3fLrAu5ezMv4xZojjEwQfkgmLVf1p+jIJ0kkLsEtCpOuHFnJxsiCZ3ZghS11BCMDbY1lWD1QWbc2kTOZXenfjg0R8ghAAyey2F+L4BCEAktltL+S3JQgBEOXl9kIcnyAEQMY/theS3BCEAIjycnvREMenlHoCeBpYprU+34hrCkKrIcrL7UPdS12l1GpgB3CyfnMEQRCaTyP2+H4F/ACQ0nVBEGJBXUtdpdQDwGmt9UGllN9rHwUeBdBaMzg4WM+tG04qlRKbAiJ2VYfYFZywbPJ1fEqpfwHDFX70FPBj4O4gN9JaPwM84xza58+31lbg4OAgYlMwxK7qELuCU69NK1euDPQ6X8entb6r0nml1GbgesCN9lYBryilbtVanw1uqiAIQrjUvNTVWr8KDLnHSql3gG2S1RUEodWRAmZBEDqOhhUwa62va9S1BEEQmolEfIIgdBzi+ARB6Dgs246k7liKnQVBaBa+jdNRRXxWq/1RSu2P2oY42CR2iV0xsMkXWeoKgtBxiOMTBKHjEMc3yzP+LwmdVrQJxK5qEbuCE4pNUSU3BEEQIkMiPkEQOg5xfIIgdBwyc6MCrSSlr5R6GtgJ5IATwNe11h9EaM89wC4gCTyrtf55VLa4OCrgf8TIpxWBZ7TWu6K1yqCUSgIvY3Qr74/aHgCl1ADwLLAJU1P7iNb639FaBUqp7wHfwNj0Kub/+nQz7iUR3xxaUEr/BWCT1vpjwDHgyagMcT7EvwXuBTYAX1ZKbYjKHg954Pta65uA24BvtohdAN8BjkRtxBx2AX/XWq8HRmgB+5RS1wDfxig8bcJ8sX6pWfeTiO9KXCn9vVEbAqC1/qfn8D/Ag1HZAtwKvKm1fgtAKfUn4HPA4QhtQmt9Bjjj/P1DpdQR4Jqo7VJKrQLuA34KPB6lLS5KqT7gE8DXALTWOcxqohVIAQuVUjNAN/Bes24kEZ8Hr5R+1LbMwyPAvgjvfw3wruf4lHOuZVBKXQdsBV6M2BSAX2O+RItRG+JhLXAO+INS6r9KqWeVUpGPjdNanwZ+gVlpnQEuzfnSbygdF/E1Skq/kVzNJq31Xuc1T2GWdLvDtG0OldqBWqYeSinVC/wF+K7W+nLEttwPjGqt9yulPhmlLXNIATcDj2mtX1RK7QJ+BPwkSqOUUosxq4frgQ+APyulHtJaP9eM+3Wc42tFKf35bPLY9lXgfuBOrXWUjuYUsNpzvIomLkeqQSnVhXF6u7XWz0dtD7AdeEAp9VlgAdCnlHpOa/1QxHadAk5prd2IeA/G8UXNXcDbWutzAEqp54HbAXF8zaRVpfSdLOoPgTu01pNR2gK8BNyglLoeOI3ZfP5KtCaBUsoCfg8c0Vr/Mmp7ALTWT+IkopyI74kWcHporc8qpd5VSt2otT4K3EnEe6EOJ4HblFLdwBTGrpebdTPZ42t9fgMsAl5QSh1QSv0uKkO01nngW8A/MJlArbV+PSp7PGwHHgY+7TyjA06kJVTmMWC3UuoQsAX4WcT24ESge4BXMKUsCZrYviYta4IgdBwS8QmC0HGI4xMEoeMQxycIQschjk8QhI5DHJ8gCB2HOD5BEDoOcXyCIHQc/wdT9A5/I3iorQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Target percentage 0.5 k 5\n", "y.shape = 1800 y.mean() = 0.5\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": [ "Target percentage 0.5 k 15\n", "y.shape = 1800 y.mean() = 0.5\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for target_percentage in [0.25, 0.5]:\n", " for k in [5, 15]:\n", " X_u, y_u = SMOTE(x_vis, y, target_percentage, k, seed=3)\n", " print('Target percentage', target_percentage, 'k ', k)\n", " print('y.shape = ',y_u.shape[0], 'y.mean() = ', y_u.mean())\n", " plot_two_classes(X_u, y_u, size=(5, 5))\n", " plt.show() \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing SMOTE with other models\n", "\n", "**Advantages of SMOTE :**\n", "\n", "- Allow generalization\n", "- Add new information\n", "- No information of the majority class is lost\n", "\n", "**Disadvantages of SMOTE :**\n", "\n", "- **Variance due to randomnes** \n", "- Need to define the target percentage, and k\n", "- No synthetic example is created outside the convex-hull" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other Over-sampling techniques\n", "\n", "* bSMOTE(1&2) - Borderline SMOTE of types 1 and 2\n", "* SVM_SMOTE - Support Vectors SMOTE" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 1 }