{ "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5-final" }, "orig_nbformat": 2, "kernelspec": { "name": "python_defaultSpec_1600382519649", "display_name": "Python 3.8.5 64-bit" } }, "nbformat": 4, "nbformat_minor": 2, "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Inspecting the Workshop Data \n", "Before starting right away with the analysis, we need to load the data set on which we want to test different machine learning algorithms. The data is stored at FSU and is a simple .csv-file. The following lines show how to load the data. Please feel free to browse the directory and load the other (imbalanced) data sets." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "\n", "data_directory = 'http://hadron.physics.fsu.edu/~dlersch/GlueX_PANDA_EIC_ML_Workshop'\n", "data_name = 'hands_on_data_033_033_033.csv'\n", "dataFrame = pd.read_csv(data_directory + '/' + data_name)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we want to take a quick look at the dataframe (always recommended). We do not need to check the full dataframe. The first few rows should be enough." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [] }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": "var1 var2 var3 var4 var5 var6 label\n0 1.058485 0.966484 0.018853 0.004739 0.947370 0.718451 2.0\n1 4.592704 3.808958 0.021037 0.005426 3.360293 0.481386 2.0\n2 1.361142 0.213187 0.003005 0.003969 0.243650 0.325567 0.0\n3 2.204165 0.969037 0.007780 0.016829 0.719581 0.734593 1.0\n4 0.629281 0.618626 0.024197 0.006617 0.637974 0.576872 2.0\n5 1.048963 0.279840 0.002310 0.003568 0.191373 0.665752 0.0\n6 0.896067 0.329471 0.005907 0.005206 0.325601 0.705401 0.0\n7 0.873841 0.489065 0.018118 0.013656 0.364731 0.681083 1.0\n8 0.330018 0.372559 0.020232 0.022098 0.312272 0.210790 1.0\n9 1.014085 0.706302 0.014414 0.005087 0.791526 0.434839 2.0\n" } ], "source": [ "print(dataFrame.head(10))" ] }, { "source": [ "# About the Data Set\n", "The data set consists of 500,000 labeled events with three species. Each species is characterized by six vairables which can be thought of energy deposits, momenta, etc.\n", "\n", "## Inspecting the dataframe\n", "In order to get a feeling for the data, let us inspect the dataframe a bit. Since the data is labeled, we can check the abundance of each individual species" ], "cell_type": "code", "metadata": {}, "execution_count": null, "outputs": [] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [] }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": "Number of events with species 1:\n171495\n \nNumber of events with species 2:\n171495\n \nNumber of events with species 3:\n171495\n" } ], "source": [ "print(\"Number of events with species 1:\")\n", "n_species1 = dataFrame[dataFrame['label'] == 0.0]['label'].count()\n", "print(n_species1)\n", "\n", "print(\" \")\n", "print(\"Number of events with species 2:\")\n", "n_species2 = dataFrame[dataFrame['label'] == 1.0]['label'].count()\n", "print(n_species2)\n", "\n", "print(\" \")\n", "print(\"Number of events with species 3:\")\n", "n_species3 = dataFrame[dataFrame['label'] == 2.0]['label'].count()\n", "print(n_species3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This allows us to calculate the relative abundances:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [] }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": "\nRelative abundances:\nSpecies1: 0.3333333333333333\nSpecies2: 0.3333333333333333\nSpecies3: 0.3333333333333333\n" } ], "source": [ "n_all_events = n_species1 + n_species2 + n_species3\n", "r_1 = n_species1 / float(n_all_events)\n", "r_2 = n_species2 / float(n_all_events)\n", "r_3 = n_species3 / float(n_all_events)\n", "\n", "print(\" \")\n", "print(\"Relative abundances:\")\n", "print(\"Species1: \" + str(r_1))\n", "print(\"Species2: \" + str(r_2))\n", "print(\"Species3: \" + str(r_3))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Species1 is the dominating species, whereas species2 is a minority.\n", "\n", "## Plotting the Features\n", "Now want to look at the and check the correlations between the different variables. Here, we check the variables for species1 only. Please feel free to look at the variables for species 2 and 3 as well.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\n\n\n\n \n \n \n \n 2020-09-11T12:51:39.696486\n image/svg+xml\n \n \n Matplotlib v3.3.0, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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pyeeu5U/nTtDrlKdfu+wE0cZ/ylVXVZaHaZ56vUXeZ1WPvmCrv8hL33R/bYJJCahTRz9TN5+myRrD16Gr178P18EXg80njyYf2UF30zStU3LVqfrosyG1zHUDq9iWr3ut+Z7AdiWmhG9Nc5PP/0Z96gghhBBCCCGE+IWTOkIIIYQQQgjpMZzUEUIIIYQQQkiPmWhNXZcoMt+uS9trj12oMtos2+cqrPfRTnlBT8pEy23pF7P1cNlXhyJj9EnWrqwQz289dfTZJGCJD6NZvcy28Kmv8GHWaho8ps7zpygPm/P3HeTGB11+r7jUzSXwz6SSNdpeLZgabZvkERofGjnTPt8lmrz/8u4DPbhKF9vJpH1W3aSu62bZ2QAYvsXE2YG2Szlzd11jfXxXBLCA30Atecck5zjc94hXgXRZ9My842xeDK6BT0hYjA1S9z7s9ZrVDUBUN1/SHXwEVjLNy1cQAhKRNR/Xr0meqbJrW7ZluGz6TnPpi9l0oZ5xPtK3dd+YBlTxnXdZmrrltomPHya4/JIQQgghhBBCegwndYQQQgghhBDSY3qx/DIx0AT8/sxfZgxtqunw7dNha1at05Rxq17Huss5bZdjhugHvtae2+om6xicl6Uvq0fRvjwdnO1SgKpzCHHtuo7P5cY+7m9dv6V7kLVhzNpkuXmEXApep69XHeuq86tKHxqXNnHpL0kf9+mxt1poss/UMQ4vOg5Y6b+XtxSvSXNw2/y7IE8BMhrxjMF6U89wm3as+0ysW75LXqH6YS8mdSZ0faBoO0EzpW+alqJ17qHX8vs477xrOHqRaJOlxDi+bUzrYRrQxbSv5ZXZlZdVKOpoGtu+J33g21zVR342AUd8mvXa9nW9nl25T3zrbXyeV8h3hZ5GRJzK6TJtPWvafsb50PSbPON90pZOMSRdi70QIlBSqHY2fTZx+SUhhBBCCCGE9BhO6gghhBBCCCGkx/Ru+aWrVqEJvVmdsLm+sWmnUGuk8/L1/bO6i09dUz/xd0E/lK2DjXdetg91ZWlYX/GpKezytQh9r9XxrqyqR9XzJNQ1rFuWr2eNj/dkU9puF7rwTO4KNtcp0an1NVy8rrMrw0T7VOZN2wQm4ypXjb5pO9nm26dngsuxWc/HsvskdD/p3aTOJ7a+X2XbfF2oLmixqvBZxxC+RSHqUUUT1820jmXG6KbeeVX9uWsP5i7iW1NU9KyxuRZdMLbuUt+xef40oVs2eZ+46IizBudNE1ozrdOFPj4J+Bzol+Vftc/2S5qyAfVg88neJ6auk6qivLpAiHaywbYdfMZWCHENmvxinMsvCSGEEEIIIaTHcFJHCCGEEEIIIT2GkzpCSO8QkUtF5C4RuVdErszZv0ZEPhnv/4aInBlvv1hEbhaR2+O/L9WO+Wqc5y3xfydn8yWEEEII6SITqakLZRqoM1pvfu7YeNI4Pz1oRaKDKjMfz9tnanjtYuTYRWPgUEEmQhhdmpRbF5e+3mXRsgkiMg3g/QAuBvAQgJtE5Aal1J1asjcAOKCUeo6IvBbAuwC8BsAPAPyMUuphEXkugC8C2Kod98tKqd0+6unjeq+GwA4hjGPzjmnDYD3EPWnSXmMBkraeWqt+pnXxkUdZMArTvuFT5zRJ1L1eF09dbhUUoqp810BGPq+lqyF11fG+gxdl271pyrSVdYLHNHmfml7rvDol5z98dH/QetU9/15M6s658Czs2l3zRC2i/vmg6RdIHcPrJk1i2zLUbCOCo0m7huwnda6r72vn+f67CMC9Sqn7AUBEPgHgMgD6pO4yAO+MP38GwPtERJRS39bS3AFgnYisUUod9VnBPHxd6z4OTpu878vu9TqBmUKdg4+oyVX3+nDvw0bRh1dzH12NZK9T3nVLJm1tRtytGzm7TtAP07FDU30+L4iJS9ll19q2/Ly8+/SlSu26bdzgXI7v+4rLLwkhfWMrgD3avx/Cyl/bVqRRSg0BPAXgxEyaXwDwrcyE7k/ipZe/IyKSV7iIXCEiu0Vk92OPPVbnPAghhBBCvMBJHSFk1SEi5yNakvmb2uZfVkpdAODH4/9+Ne9YpdR1SqkdSqkdJ510UvjKEkIIIYRU0Ivll6FpY2lcCLpkfu6KjzX1eTrD4b5H6lWsgi6aQZvUKWmrPvgjauwFcLr279PibXlpHhKRAYDjADwOACJyGoC/BPA6pdR9yQFKqb3x32dE5C8QLfP8aFlF7r75fmOdR1E6m2UqTWpK+vbs8ImpxsF3Oj2tTfu7+tC5vDN8mPWalmWbX126+Bz3QZXmybTvdpkqk3DbvtbGedtqq+qktz3Gh6avTf1cn95ndeo+kZO63LXCHvRmeczddY3X/MomH3nnUGY0bVNulwmph/O1Fj3kcb7yzKY1DbLjA8+TxpsAbBeRbYgmb68F8M8yaW4A8HoAfw/g1QC+opRSIrIJwF8DuFIp9X+SxPHEb5NS6gciMgPglQC+XKeSPrSqofSuIWnTOLZOel/41sPVyb9MM+WrP9Vt57zj9cAupmbiJvqwPr8HfVHnfRriWpvuL7ueTT0bbQO7+CzThy6+DmUBQuqU1eQ9WeddE8qM3ff5c/klIaRXxBq5NyGKXPldAJ9SSt0hIleJyM/GyT4M4EQRuRfAvwGQhKl9E4DnAHhHxrpgDYAvishtAG5BNFn848ZOihBCCCGkBhP5Sx0hZLJRSn0BwBcy296hfZ4HMPbVplLqDwD8QUG2F/qsIyGEEEJIU0z0pK6uJ0pZmlDrl02ok6+POvleItQmNpqyul4iXfP/020G8pZiZtsk7/zL7o8+r2mvQ1d8AOtq5bL9tey8qsqyOTbUczIPn7qVNj3x9OWKZemAMJo+m+tft6w62HjirSbq9t2sh1mIpWo275+y49t6JhfpV03jCFRtmyRM3wl6v6vqc0naJN3O7W9Nj73n3WPl2r67XOYE2WPLvABNmehJnQ1Nr80uwtXPa1L8hXz4RJnqt3xqyoq0Kl3pV3kk+s2mPRwnCVMPTR/9uql7kwPddJI03PtwaTrfHlau1zjxobPB1TPJl66qrCxXHV1dVkyOH/KadavU0aO1PSYITdf0YFXvijrP5iZjCITOy6YsH5OlJjHxAiyCmjpCCCGEEEII6TGc1BFCCCGEEEJIj+GkjhBCCCGEEEJ6TC80dVmD3xBmuX3XkIQKnuIriEGTQQR8lDUKQBBQbxbKaLTvfblP6M+mPLoSNMWGpvoP+2kYmmxXl7Jc65cYrOs6Rxc/OxLho5/4NKaeFFyCt4Qqv6nATnrQESANPJJXnsvYpe0gNzpNPfOKAutU0YtJnSumRpc2E5c6xq8mmAT5aFvY24Ubywe2htiDLacEM7FvCpPgCEV1tTXz7co5t0EXgo24BOcoe9HXudZ197ugD/irAp5k0dN3uR/7fh/5eLeUDUa6eE8UnbPIfw9dnc7Q5T6eYPv+yU40Q5lHl5GNalhk4G3zbO3DtQLKfxywOb40oFKNa5o38Syrh+v+IvK+CCkzeDeFyy8JIYQQQgghpMdwUkcIIYQQQgghPaZ3yy99rFeuvX5Y8zfL8/pKtull2Ro3V5VbtQyw7hpkU52QTpeXBbgYJ9vgy/MutAarCUNwWwNPUp+mDLxDXbs+9Q+XNvHxzPTdRj5NdbPH+KwLccc0HoGJfqfONfJ5fV3vJVeNUt7xTfbRbLl5zx8bA3Pf7V+UX91xlc/jV5Pms3eTuoSmDBFXwwumiXNsy3SyjXxMtXe2QVhCGYeuhj4eisR8vO6AoSu0cZ+G0lnVCZzhw8i7LZrUr9nq0l0NzwEGQgmBLzPrtrWSeeh6qybrl9fH29DzVeHzmWWiT7MZi/j+MnH46H5vYyGXuuiTyrK+4OOacPklIYQQQgghhPQYTuoIIYQQQgghpMf0dvllUzSlKXGl6WUPJuWVrXlfsc5ZW36YXa5omkeyLQRZXWJenUyXULquae+jfpEUs6L/d9hjy9QvqE7/vPSCt1eWrbcR4N5Oefdf4ntmmq/ts7aLS9Kq6lR0TXyUZavN86n9Mb3XunjN2sLkneW7vYp870yWL7osgQ/pf1b1bJwkHWkIP2Pb9LZLgUONrXz6JGeZGJ+6RLdSF183jotXma3HSh56ABbTMlyp0j70/SGkU0fnUYe8fhTaR7At/eQk9Zc8Jvn8Qutmps8/BzfefnXQMrpA3T4Soo8V5alfkzr52B47yde/DbJjJ9Nns2+NcJNjE1/HmOTRBNly84J+VN1DTcWg8EnosVCTNKmp5PJLQgghhBBCCOkxnNQRQgghhBBCSI/hpI4QQgghhBBCekwvNHVZTMwXQ66lrVNWlwSlefvKgpfo2Biht0WRIbitNrANnYeL2Dd7Lvr563pMmyAXvu8rama6Q5eC8Nj2d5NgA031NdPgMUXH6ceW7bM5Vx9BSUyCSNg8S/tq/txnsubjOrZBJkIEgGg6eE5V/jq2Y4Mu90lfYx6f5+jadju3/La3Ovii6XdNGb2c1JkySUJLoDtGn1URH00DdbieRxPXJDnHbHAa17K7IjIn7RIqKITvPtJEsJui4CihIu1l8/VhTt72s7iMqmuYV3efAWtc+nofAzqsZnzfB76CltUxuvZFqP5XFXSjK/2+kXHa5pOdg5CYGoL3DS6/JIQQQgghhJAew0kdIYQQQgghhPSYiVh+afPzue2a7qbNx+to1UzXKJumS+riqpmzWZftUvei9CMDUwNj8CI9TB1T8aI85va+10t/qjKGds03m48P3URXloJ0BdulPrpBNjC+ZND3Pa+nraNVztZ7uPdh6zxcMTVOL0qv78+eR2h86PGK8unTvVjnfaDj654g9rg8O0z7dZvXy9XcOu956vNYH20SailqX+61vHomGr7ho/vH9nWRYJM6EbkewCsB7FdKPTfe9p8B/AyABQD3Afg1pdSTtnkXrdXvckMnhDKQNb3hq9IN9z2CXcufzg0yEkq3YzoAsX3gVOnhyvJL2qEtzYxpWxdp/4DqybhJG/u+5ismug8Xp1sttPnMCmXIazsRMm0DF52fT93MYOupY5PqOtpD22tv+rz0oV/zfQ59eDcDK+spIq3UwefYSQYDDJ41blYN2PfdtmIUmNzDvjTrofR7IY4NXY7NMb7yN8nHl6bQp47Ot1a+zrs55PLLjwC4NLNtF4DnKqWeB+BuAG8LWD4hhBBCSJ/4CDh2IoQ4EGxSp5T6GoAnMtu+pJQaxv/8BwCnhSqfEEIIIaRPcOxECHGlTU3drwP4pM0Bdb02Qnqc5OmnTCnyU8srp018edPZrJvvkv+HS1qT47LX34fvnw/tQRf0C12nzAdqUqnSewy2nmp8fFGb6Us461gPmNYjNHVkAqElBmXvyTrv0JBeV22/C1vGeuxURp1rXOQZlrfdxmPSlBCaYluSc3VdzmfS/l3yZms6zkQouijd8lGnViZ1IvJ2AEMAf16S5goAVwDAGWecUZhX6Ivh4vVTF5dBvW9dSp5GyxaTQCHZ8sva09QY3bYtVgxIDQOkmJRX1IZ1+2zVFwh1+qQPDVLZ+el1FXmfcxl9xfbaV01o2nj+VTHc+3BhkJUmBuM+9SN6gJcmMNH9muoI+0zZe8qkX01CG+ThMnaa+154Dy7dLyyZgOjbmtR51sGkjBWBlEomW770ttn2DNnXQ7Vxn+9H28l6E21Ypvdt3NJARP45IhHwLyulVFE6pdR1SqkdSqkdJ510UmP1I4QQQgjpEhw7EUKqaPSXOhG5FMBbAfwTpdThJssmhBBCCOkbHDsRQkwI9kudiHwcwN8DOFdEHhKRNwB4H4BjAOwSkVtE5IOhyieEEEII6RMcOxFCXAn2S51S6pdyNn/YJS89GEEIbLQfvg0kc0WxNU2/mySkGL4ufdZZ+DYSr5tPW/n3CR/BPeoEg/LpyVZVVps0cV+3fa5l5Vedf14/9NlP6ra/iU5wNT9XQo2d6moP27omtrrStvtO1b3WVJ18Bjlquh3bLt8W0/razDV0vaaNrq/N6JfBqSNUrVuODfrkrSwSZpMdO68s20lmXnpXw92Q2IqzXQIVlA2gfE/eQwc7ISnnXHgWdu3+tLXhdhuEFNSb3ifGxrCBIl7q1Aku1SRtPgPbPvc8fL3Xu3hubVCnHfIGm8NH9xuV4aP9276GPgysq87Bp0m2D9puc180NT+wZdfyp2tFO208UAohhBBCCCGEEH9wUkcIIYQQQgghPWYil1+GXL/ctNaiS5q1tteq59UDCGNc2pZZcN71tjFrbxMXT61JJVmO2cQyQlfaMP8tMiZP2ilptyJ/OButQhVNnn+dY7ty/7tqyX2W21Q/nUTK3i0+2rWMPH1QW+MJW61Snfdal/qTj/NoQr9ctwwb/bDNuK9LY/EyejGpS3QroTBdW2v7EHJZs9uH4Cg6voMzdO0G8YWr5iOvXfU+Utbuk9qWXUSfvNXR1/nQnE66gWzbOtsm8ksmv3mTWz2v3OdDzhcJvvuJrR7R9d3ZpUFxH0nGTj7a0aa/tGmIXdbX62iVbMsPFexjsPlkq3rk1SXksauROvrs3PgVNXSUXH5JCCGEEEIIIT2GkzpCCCGEEEII6TG9WH6ZoIf7d12m2LTHUai16q7eLYMtp6zYPrf3vV79TLLb29b++c6vrtdP29jWvQn94iSgn1+Rbsw2n672tap7Hmi/nrbPgKp21/fVrU+otvHhcehSlmsetvnr223Pb7Vi6vHbpXu3iD7UsYxQY6KifJvs/1XvKR/P0674/2Wp0/4mdbbVgPZqUtc2bXWaNm/WsnoU7V/tL9PsxNkGE/+vLtH1+rXBcO/DvWgXn35fVfd8lUY5ocws2zR/0wGEj+dVqOuc1w5l5TfxzDUtK5R+r+452vYjEalVXtcwDTLkI88sXfFac6mHa/8LpUvL8wE0wfUebONdFrJMn+3QxbEul18SQgghhBBCSI/hpI4QQgghhBBCegwndYQQQgghhBDSY3qrqTM2vXQMrlLHwLAOen3L6lS1P4SBo+98fJfhQzzvuka67LqZlJWte5eDAtXNt4vr0FcLIfqESeAUPXhMmSG7bVAHoF5gJ1/3RNabMJTp/M7T3zLmXdeU5mUS7tsuBh7qC3UC8bgcY2oS39dr2JVzsB3X+ryHisr25SfYh2eWTfubnE+vJnXJ4NY0qkzeQLsvxrWDLaeUDuZtxbtl6UMZ7Ya6oaoEyDbll5170T6T9mrKRL4vL7QQfUJELgVwLYBpAB9SSl2T2b8GwEcBXAjgcQCvUUo9KCIXA7gGwCyABQD/P6XUV+JjLgTwEQDrAHwBwFuUUqqqLpNu+K3jKwBAVZTQuoJ222ejj7J9l6GnqWNq75vQ/dLHNenivdNFuhIAzjR9VwPFhTrWNe8mr6tpED2dUJPaon5i+7y1KctHXkUkwX1M+z2XXxJCeoeITAN4P4CdAM4D8Esicl4m2RsAHFBKPQfAewC8K97+AwA/o5S6AMDrAXxMO+YDAP4FgO3xf5cGOwlCCCGEEE9wUkcI6SMXAbhXKXW/UmoBwCcAXJZJcxmAP40/fwbAy0RElFLfVkola9juALBORNaIyBYAxyql/iH+de6jAF4V/EwIIYQQQmrSi+WXuoFm6J+UQ/+0n10S6ksv1QRNlBlynXnh+m0HPVyTJPUb7ntktM2lbUy0T0nePViLvhXAHu3fDwF4UVEapdRQRJ4CcCKiX+oSfgHAt5RSR0Vka5yPnudWk8q46G27oKmoeq62qUHKLjfMasmKsO27TenhsnTh+hfhu26m2upkf5fbZtLoqs7Qpg80od8bbD55tC3rd+dTZ+7iJxjyGrrUbdfyp8d0cWUegbYG2z4oe2eb1r3Ocy3vGB/0YlKXpUjTkW2gurqmNoygXXR0Ieplk6frmm4f9TZd02z6AK/SMhbhW0OXTOB8GZn7NJitU6cuISLnI1qSeYnlcVcAuAIAzjjjDK91alKr5GPi7nL/JeRNnpJjqvRjpu3U1DO8iYlgWRku57UaNWqTcA42nHPhWdi12885N9Ff2tbN9YU2zbl9la1PkrPkTaJs40H05V43fSfr6USkMB2XXxJC+sheAKdr/z4t3pabRkQGAI5DFDAFInIagL8E8Dql1H1a+tMq8oRS6jql1A6l1I6TTjrJw6kQQgghhNSDkzpCSB+5CcB2EdkmIrMAXgvghkyaGxAFQgGAVwP4ilJKicgmAH8N4Eql1P9JEiul9gF4WkReLNFXYa8D8LnA50EIIYQQUpteLr/0pYEarZVucTmZzU/KVZqoMq8zXY9lcqwPTUPVMlHXtdqu5duU66N8mzrVycf3tcvWMavpy7tfmtZlxBq5NwH4IiJLg+uVUneIyFUAdiulbgDwYQAfE5F7ATyBaOIHAG8C8BwA7xCRd8TbLlFK7QfwW0gtDebi/xrD9drZ3GuhsfXTrKOHmT7/HACAPHnQqCwT8rzgbPNwxaS+ITWAprqdkO1QqH3Wzrsp3SNJydOWDR/dP/psq2MzPabo2KrtpJyQ7Xbx1OW5yytXeJeWLL80yT/Bpg+Z+N+Z1D2vTBddoE+P5YReTOrK1oW7aqDaQq+r602lD6qLJmtluK5bb2KNcui14rnanhb7T5Ue0deDtyy/Mu1h3hcow32P1PYQA8rXhZuglPoCIi85fds7tM/zAMZOWCn1BwD+oCDP3QCea1uXJjRNIWhKP5HkZdqfk0H7pRe8fbRtetM5uPH2q70PRvQJQpe84FY7Xbg/VgNdbOdS3XvBpNJnGbbpXCYotu1eZxJURd0+kDeGGD66vzTfqv1FZfh6/g82n4y5fe/Pzc+0X4004DmTxbbuKy6/JIQQQgghhJAew0kdIYQQQgghhPQYTuoIIYQQQgghpMf0QlNnaz7epHFpXlm+g4w0sTY3ZOCNbD51RKGJxqtMBxdaUO3TVPLiqctzNZK+gveE6ke61s5Gk7gaRO2mAR1sr00Tz4QxTWVFUA6bOpnq1ZJ0IYJh5Jrk1tDR6Zq/G2+/2jmfPLLPy1Ggiq2nOuel55e3z0d+TVKnHnnHTqqmsu71bzNAmOuxVQbSZebTVfUYuycrAmvk5R/yHrIZa/ksr2x7iGB4NnXqonY0wcZYvopeTOqy+Aps0aSZd1n5ddKXXfCqdjIJnuHLtNrWODIvnUvU066ZmYYyBM/b59Lm2f15fchX9Fkyjo8AND7zdSE3Mlg8WB5sPbV0spadsORNlEKfy9yeaxuZtLjmWxSZ0xdNBW+qKi8LI162iz5xMY3ul0ed+6noC9S23++2QT9cyyjC17iiKm+bY/Lq4SPYS512Num3Vc8/13yL8rC5XsnxNB8nhBBCCCGEkAmFkzpCCCGEEEII6TG9XH5ZZKrdlzWzZWuq215GoNehbnv2ZZle3eW3edes7TXttgb2Nktxs3q/LvRZMk5by8pzl9046MCyJuB5eST7s/uySyiBbrwf6hitV+0PcX4m9W3qWedbq74a0OMRZDExYi7Ch2TD1/inK9fUxXy6iKr7bkz7XHAtTe+ZpvTa2eWXO7e/tbAupn3CJqaBi/m5D+17rn63xv1XRi8mdWXm4z7w3Yl95WdkeukhoEZdM3PTMupqIU2P96kvykvbhC7Ox0M21MM5VB+ZFEw1Tz40taGp0jGZ1sm0TYomab7Iq2/eOZqe19Idd9euU1m5vvRDJhpcU/RrE1rfV4VP02RgZV8Q+e+18u4aRW2VmDBXkaRxfefV1dLZpqk6Jx/P3zrm067lV7V/mal2Nh1Qz8A9W7eibXmG5MmEbnD2Nszd8+4V6Xxg2r6m/b8psvW27SdcfkkIIYQQQgghPYaTOkIIIYQQQgjpMZzUEUIIIYQQQkiP6YWmzichxfOuhsxlVK6LrqGpKwp8YXJMF4IOVOFqiOnzHF0E5VWi6Kr8ST+wNb8NUZ5NWWWm6jb90NScvQ559ckzlp7bc+0KA3FdI5dnTF5WX1/t44smTKV90HZAm7bL7zouwTbySHRnLvolHwFUTN+dNubjtuW79jUfz4+645q65x8Kk3Js62JjBu4aWK8oUEvd93QvJ3WmptpN4jK5qhKXmjDc90jt89XzKOuwtjdGnYltiGtYFGSgzjnWecmZ5OtiTOlSjs2+bF+f2/te7Dz3Suvyygw0+0xXBoVtBrQoaoO8iVWdqJbT558DAFBIjcqT/ck+AJAnD1rU3pyR6D/nvKqOcU3bdv9ymYj7qHPb5z1p+AoOYTJZqRNIxCT6Ydv4CDaiYzsmybuWVXk0HRxk7DodPGR1nGlUSZf8TI9xJa/MPMN6HxNhLr8khBBCCCGEkB7DSR0hhBBCCCGE9JheLL/UDTRNTZVD/Kzpa12uqUbK59pn3+aS2fxcza+rzj/0unSbdeZFGkTbZaYh1oB3jZ1b3zzmZ+fqsdU3mjBy7TrZ61zkO2ezbBEALrnoqsJ9ujYuJDaG3Db5FNG1PkQN2mTg8pyyeX67GD270IbOP3TbudTFdaznY+xskyZUrILQ1NV1mo6J69KLSZ1v2jAbTyYCXTduLtMGuqxFbpOiNeVNnUfe5M/FTNircfD2s4OUNXfXNaPPesAgUkzoQUie9qlOn/cV1CTJJ5nQlen99H2y4wIAK7VyZbgYg0+ff85Im6fXtQo9XdMBcIqooxXOyyMUTbZLFzWKITnnwrOwa7d/PZAtefqhsrKqyvdRJ5/X3dR826XcZEKsTjp+tO3G2/5gLF/b+rng0zC9Sgfos062932d9io7Z9O61unXXH5JCCGEEEIIIT2GkzpCCCGEEEII6TG9W35pui734qnLC5cSmnqH2ayVrqOz6sJyRhfPuq5gu1bbVRdge0wf2zLBVpe5Qj9hcd9NOn3Q1xXp2kyWj7hc00T71lVDi65pxkz6UJ6fXlv3m42vZt22zfMGrOvr2fb1boMmnlM7t78VADB3z7vD5K/ZJriG629DplElyTDVI/b1/Vp3uXrR+K+p57jpMssy7aNrOXn0blJXRJV+YLDllFxNU93yyvJzFdDrx/laY2y6Vt1E8xdSl5DNx2atukm+VTe6qXeOCXkegqZtF2pCOLznviD5rigj57zzXpaT6lPXZYoCluj7XScEeZ5tyUA7L4iJ2rQRADC9aVwjl+jh1EtekKaP/07vSz3ndM1dWfllg1bdw87Ez8/XM8IliEEd2tLVkG5iO7i01SDp25IJXR3KynDxwfNVh5DHAake0fTHCNvyfDzPfI6bTGgjvoPteN5mnGo7Di2Dyy8JIYQQQgghpMdwUkcIIYQQQgghPYaTOkIIIYQQQgjpMb3V1Ll6QPiiyovL11rfbDllusDR+vL4mDzzZx8UBcWwNeEuQz/vJN8qMXdTQSnqrF/Pa7s616nJoARV5dvsmxTuvvn+oOa3XQvaUcYoQJCm22vKEBwwNzK3NTy3DayVq+nW2qRM51fl3deG0XJRHRLKfJXqBAPocl+fZIr6e63gWWdv81ovFz2qbX/Ka4e2x511yQvAMnx0f27aomtcp1117WNRuSZUXRtT/Vufrp0pvZjUZQ00fZk1217k7KQJSAOw6DQpivSBS+CRruBT7O0jvesxWXxOkHV8BnGwPabtft4UXT7PvMlCnsG2bT9ZEWwpLkM3CU8Cn+iTmySdvm1py4kr8p+aX0o/HzkKIA2wAgDYi8J888gLFKOnT+qcBE8xCZzSBepcwxCUTfR81svUHD5E2cSc4X0PBG1712iXWboSgMM04mVZHn3FZYxWNZYPdT1N+0uT1yfY8ksRuV5E9ovId7RtJ4jILhG5J/57fKjyCSGEEEL6BMdOhBBXQmrqPgLg0sy2KwH8jVJqO4C/if9NCCGEEEI4diKEOBJs+aVS6msicmZm82UAfjL+/KcAvgrg31flFVq3koeNLs31p92+6Qfq/IRtqrmw9Wcr0za2rUfypb3zWe+qOlWtny/Kp2jbaiZU/1uhi8jRapnUpQ55Rtddpck+OUn9v0zvF7KskHn34R0L+B07JeQZc/tud5O2djF/d9FPlZXdl35QhktbT8J594msd+Lcvvc73XO2xzStqduslNoXf34EwGaXTNo2UdX1TmW6AR83VZ62qiqfOnqskJqr7LFVnTV7HpPwUOr7OZRN9IrSTzJZva9vumSga8vSHXcb3eu6jk7tvh0AcPjnXwQAOPYbe0rTy44LouNivR0AqG0viPZ9/ZbRtmTym9XsAYBo25bi8oGonbKBXm68/eoV/65j/puXpiyISpcnjVXm03Xzcjm+y+3lgJexUxGu/bWsrX0/Z6oCe5SVb9sXfH5570KeRtBHv666JiYm7rZ6P5062kcfY85QNPWsS9KLSGGa1iwNlFIKgCraLyJXiMhuEdm9iKNFyQghhBBCVgU2Y6fHHnuswZoRQtqm6UndoyKyBQDiv4VfuSilrlNK7VBK7ZjBmsYqSAghhBDSIZzGTieddFJjFSSEtE/Tyy9vAPB6ANfEfz8XsjATjzdX75JQP+eOvJ5y/N+6pA+YBM+PnedGWvPhPfeN7atq/ywm/Srbd1yvZ5vLiqr8GauYsCVRXuiiRk2vU1V9yrzoQumwmmDn6W8BdPsE2PVfX5qW0PdM17Q3ZecbSl/c9jkb0MjYycSGogldUAj9ft7+0N6iTfSrrmkFbb1zbZ8/Ls+r0bhaWzqqL+Md6Ybj5afZJb4uPo1V9da3+bx2wSZ1IvJxRMLeZ4nIQwB+F9ED6VMi8gYA3wPwiyZ5hdat5KEHSHFdNz5pvl111nT71FzohPJzq8JWgxByYFZUF5c2L9ufTHR1b8aeDYwaJVR7uPQrn3VRmYkOEPm7JXqzPBPyxP9NXzM2vSnatqzn/ZIXAABmDkVbF7eV6zcGBw4DSH3lgPSlJhlPurk9166YZOb55CFzjJ5vXzzrfFCm9wtZFr/08Tt2SsjTodXRRuURWo8/fHR/bV1VSD1aU5jeLy71NdEr+vIE9ElXro2O3k51NNK25xYy+uUvFex6WagyCSGEEEL6CsdOhBBXWguUQgghhBBCCCGkPpzUEUIIIYQQQkiPaTpQSiPkBRuxPXa1U0crVdWGZSJTk3LzAuB0jabFy6bi4a4FRSDtYRIUATAPmnLJRVf5qVggXvqyaxqLo1wUPMb3/Wf7nDYJyqM/u6rq6+s9USdQFJ9hduR5kfmkSZ1122WZlm8TPKQqv6YDwYQcC/pi0p4JecblpkzkpC5huO8Rr4aFTXaUvLp3paP2Rdhe1V561MvsQ1oPlBOqLq5BdprsB76D/ejpyww0VxN1AlCE6gtJnfKiVy7dcffocxIAZXldOl2SHRfgS998B17+E6lRdxLQZOHkY0bbZvc/Ex27dnqsjHXf2QtgZVCW5Njpv715tO3wKy8CAKz5fFqnxee+EAAwpZWVsCLIS1TEigAoyfkMj18PAJh5IA0cMNh66ti1ymufpIwkLxfausfbfp7XjQycl5fr/kmiKChKdrBoEsTBpd2sgz1k6usanKOrYyif+DwnH3lV9aG6ZYTsf2X9rE6wv1CBAvPg8ktCCCGEEEII6TGc1BFCCCGEEEJIj+nl8sum1s+aLEEItc5a3+9zSUoVJstvQizRKcqzzrXugvmvz7X0TRCqj7W9rCs0dQxRTdN3AdPreMlFVwE5yyr7zs7T37JiueYg42tni4321vR9YZqfC6Hu4zbvhUnT49TB9fqavL/r6Lxdr5Gv8k0IpVUMNSbzOf6waUPbez2bvon7tclngu+yejmpq8KHIXhbg9C2y9dxXS8ces20r8AoJuucTW84kxdRSEIbv5LJw6Qv5Blur5jIxObc+pIPXV+XMDLx1nRu86cdF+V3aHG07dBpawEAM5tOG8tjajGyLp/VtGprHzkCAJjW6rS0EBmXJ5o9vfyj52wZbRtuuygufyk9FsBX/ubKUaAT3fxc19eN8sgzJN9r9pzw8XywfV/Y6jdN6ltX85aXb1c0xZNCohWy6XNttrOJCTZQ/g73/f4tK6tqQue7PzepF/Wpae3CuLYP1DF45/JLQgghhBBCCOkxnNQRQnqHiFwqIneJyL0icmXO/jUi8sl4/zdE5Mx4+4ki8rciclBE3pc55qtxnrfE/+WHjCOEEEII6Ri9WH55z23fH3mT2Sy964JmqWo9sG0eLmWW5dHFpSxN/0TftEazKv+qdC7Xsm0/H5+IyDSA9wO4GMBDAG4SkRuUUndqyd4A4IBS6jki8loA7wLwGgDzAH4HwHPj/7L8slJqt4961rnnTL3hbDW9fXoOtEWRx5yvfG68/erc7b7p2nPNJU/f+a5WfLxTJ+Ga1PH/6iKm17VprbztWCc0+nXPXnMfz8m8PNp61/ZiUpeliQdK2xqloslY6HM3yd9XHUzXXIfyKQqdh41+pitayibvrRo+dRcBuFcpdX+czycAXAZAn9RdBuCd8efPAHifiIhS6hCAr4vIc1wLz6OvgxwXdK+3RD83PGZ2tG1qMdKoJd50QKpNGzyzMNq2cOLasXQb4r8Hz1gHANh06+OjfYkG75lzjx9tm16IdHZrceJoW1LG4W2bRtvWPrJmRd0AYMO39xWeW3JeU/NLY2l0En1hrrauAtsgK03ozMry0eubfNHgUxfYFm2X3zQh+lHRu64P724fZTU1OQw93vSRh6nHoWs/acLzrclngu+yuPySENI3tgLYo/37oXhbbhql1BDAU4A28i/mT+Kll78jdEcnhBBCSE/gpI4QQiJ+WSl1AYAfj//71bxEInKFiOwWkd2PPfZYoxUkhBBCCMmDkzpCSN/YC+B07d+nxdty04jIAMBxAB5HCUqpvfHfZwD8BaJlnnnprlNK7VBK7TjppJOcToAQQgghxCe91NSFJKQY2ER/kASEAfKDwmQFqDvPTQP/zd11jVOZPqjS/rUtsrYRrepBebpgdG+axndQng5rTW4CsF1EtiGavL0WwD/LpLkBwOsB/D2AVwP4ilJKFWUYT/w2KaV+ICIzAF4J4MtVFbnntj2joCY+dEbJsXl6KxvzadIuO09/C6BpD3XyrnF2m67Rc/XOrKLt4Ek+y9cDCzXRdpNAnfbvw3vCV1AUn+dqOg4pe5a3/Zy3Kd/HmCQvvzr3dRPX0/bYsmeibX17MalTi0MM9z1ifVxbDxufESddzGr7GPEyoY266WXqk+pQZWS3uQw0bF4CNvmGwmfZSqmhiLwJwBcBTAO4Xil1h4hcBWC3UuoGAB8G8DERuRfAE4gmfgAAEXkQwLEAZkXkVQAuAfA9AF+MJ3TTiCZ0f1y3rq5BCYZ7H7bqB6Z9yPZ5suLeiAfOwzvuHm1LJiFTR9IJTGL0/fSL0h9TN3w/CoayvHZ6tO3o8dHnpbVp4JOl2UjGOHMoMhB/+rwTRvvW/mAxKmvt1Fj6+VPWjbbNnxDlu+nOg6XnlgRvGW6YSc9HM0IHVhqO500WXv4TUSTLGYwzMlxHeSAVlyArJvi+3/OisHY5cANJaSoQhq+yQtHXaJd1g9s0EVwkm2/bk0+d5Lr7DMRXlY/L2N0HvZjUEUKIjlLqCwC+kNn2Du3zPIDcJ6lS6syCbC/0VT9CCCGEkCahpo4QQgghhBBCesxE/lLn4glmZAhcoXfrCzbnXbWEM/TPynr+gy2njD77bP+iMvLOLbum28bo2WXJpCttG7iX7e/y8hzf+NCtNNFeRdoHWy+11cJIwxUv4QyJi942T79i049Ca+BMyitLo+NbFzPJzycXs2rATKMUWsdU511rys7tbwUADO97wLluPuphi7fzj3WIw0f3r9juUw/nUn5d6pikm+oCfWlU69KLSd05F56FXbubuTl83oQua2rLtIN5dcsLjpKgT1CA/MAfPunLy7BUy7TvES8PMFtc18Xn7avzcGnCxHiS2P680zG3e6XWKNQXHmUTLJf2dq3n9PnnjD4n+rrpTem2J3/8DADA8iC1+XvmORsAAIMjaaya5PPihnTBSKKlW46ld8N1aR6Lx0avq0RHB6Tm44sb0zwkygKHzlg/lq+umUuMxWc1g/GpI0dXnOuiPmmLP+s6O/n6LVE9tWOS9tE1dXnG3SbkXRu9/evQtsGuz/skq0s00ZSSes8NoFu6qSw+9XMh3oumJt2h6lIH2/FK1ZdEJnm5tldRWl9912S86BpHw/ZYgMsvCSGEEEIIIaTXcFJHCCGEEEIIIT2mF8sv26RIb5UlGwrfRPNlu0zONL1tWP5QSyiaXJrhUxfhWm+f5+tLv2KrAy1LX3cJRV4+fefum+8v1VmWMek+USSfSy94OwBgSbOGaEKj7FOj6dr/VpN+rS90zfcw0VU1ZT+wYox39rZgefvq6ybXy0b776supvmGeMatuIabY6uaAl1eXvm6p6GvfhfCJ9GEiZzUhfJTSfRWLpRNCHW8ewtlBua+tTd11grbUqf9bfVog+1nj7aV6RbreAKG9okJ5bmXR1X/7qJ3TRP41DT6MDc3LTPPBDtBbXvB6PPCKy8a2z9zMNKvLRybetIN10Y6uDUHUv3aU2dF7m5TmjXc0eOiY6aPjvvEHzw12jf7jNLSR4tNZFnT6s3H+zalC1GWNR1ewtRMlF+i1YuIdHgb7j0wfl6xlk7X2Q1ig/Hh8al+DwcOjx2btGNdPZzr89a2z4TWwFWVZZuOAX3M8NHWvlnhhZkZCBels9lnw/C+BxrTGXbxCw19IlRX25V3bNWEtGziU7e9ioJHlfW5vHK7HneAyy8JIYQQQgghpMdwUkcIIYQQQgghPYaTOkIIIYQQQgjpMb3X1IUKNmAb7CCrKWrKODivnqb6vVDU0Vy4GO2WpSkTCpv2nVDGqW0Eu7AVxa82DVwd2mqrIq2riSE1QD1SF2gyOFNdbXSWxIg90XyOjNlh5slX1U9N3s3ZPtxUoIiuowdySuiLvjnPiLqr78m6ZYQyU8+7xqb3v8/nRFlfM3lPlXnBhbg2pkFObO+hUPnq9H5SV0aTD289iEfeBckzFQ9lDG0bUCSkeNrHNbCtnxcz23vuMzKVzJbtCx/5mUS7rHtMnT4sMh68om+cc+FZ2LU7/yUUiqbMf+f2XLtigJ6gtEAgww0zY/uX1kYLQJZm020zh6JAJkdOSl85ScCTZe0tlARUmZqK/ibm4nHJ0f+19SVJgJTphfH6zxweD6iSBHEBgJkv3hyVqQV7WfvIEQDAwsnHAAAGz6QZqzgoypRmVp4YjM9oRuN55BmS55E3wTY1K2/qfbcisEVO/zA91id5AX1MWU2TPN+Ytl0SkbCKZJBbFbyiy3R10mwznrHJs4ljbPK0/QLHV7RLm6AvdfMuGztx+SUhhBBCCCGE9BhO6gghhBBCCCGkx/Rq+WVIs96urrl3XdZlaohso6nStXrJMr0iTWHe8V1q1yymnm5NaSVN6pBgqgc1MSl1qUOXr2vfYLuSIhLTcgC48farC9P57ENV2hZTPWZb/bprS+D6jG/f3wQbk2ZXrWQT5ts6vtrCJza6Npc8fbVrXhuUtYvJGMbHcyBP41lURpvv7l5N6vIIbeDs8iBrw7izSy+vwZZTMLf3vU51Mmm7qjS216QssIwv/VKuwXMLAW1sz8dUQL3aaVtv6ipqr/pCQNdzJZOK5XVrRtsWN0SLPXRz70QXtzxItx05Mfq8tDbNe/po/EGTzUn8eSGStGHmcJrH0WOjv2ue1ioYS+SGx6WbpmIZ3OBoui3R9C1p9Tz88y+K0qcSOcyfsi7athilHx6TCgOTl+XCielJrNsX/V3acmJapbWRqXliVm5C9jqYatVMJ1Wm5r8+MNUAllHHaLrJgApdJ9H85tFozIGCgXAReRO7UO+dUGM4l3FKwmDzyYWTW9P6mt4HTdwvttpL/fyTyVRem/gO+pRgqodL6mvav03zrXMOXH5JCCGEEEIIIT2GkzpCCCGEEEII6TG9X34ZAl+6qboeQk0sj8ieq64tcwmJn83Xx/Eua6WLjjHVzpmS5Je1rPDpZ0cmG1tPTEC7XwuW6dXxItL3yY4LRv/mN4Dhybueo22xpQKgaZm15ZemnlR5+0PpjFzyDaVb7oIeui1ynx2aTsln+PW6mMYDMM3HV310fPm11bk/9Dxc8m1SRuHyTMjT0ZXdwzu3v3X0ee6ed9tWsZDRs9bQlsNHWVls+kmvJnV1HsZl65DLOncb64q7lndCnv9dn4LOZEm0f/pEL9lWlN4nrpPmOmv1XdL5Oo6Y4dK+g62njrRMps8z25d64rE2v23TaFuiR5s5kArTBiOfOl1TF22b1nRuiY/dcF1OWXF2RzWt3GA+Pm7NeDrd625qmOSblq8kKTOdmib5HTkmTTd9VMX74r9HyqeyB3ecDgDYcO+BNI994150w+PXR/W94+7S/EbpY981fdImTx7E3J5rV1y3In+2Mk8qr36eex+urYP27bvYRZ35JOB7/JVgo7czGX+41MEHPvK31R6WYXNftTkWyJ2gaRO6sjYZfUGhTehMy7BFr0eXx0D88pUQQgghhBBCegwndYQQQgghhBDSYzipI4QQQgghhJAe0ytNnSld1XQViTxt1/7niWKzAUDqBDkxKbtN3YJLYAmgYO12QeCUrvahIlw85+jn5A+f/l8MFLH6MPWlM6Wu0XCo57rtfWIaFKIJ/71JoW7gh6q2Lnuv2FynssA/LsHT+vb8qxOgxee52o6F6oydQgclMe1/IU3gs/h+1k7kpM6Wrt3ken1C1K1sQpadDLqK2OvWe7D97CBl6ednG+kzG+HS9DgbutYXSXhM77G8vlFl9Fx2r0+ff87o8423Xw1g5eRibs+1uOSiq0b/VnH0xbWPHBltS4y4j5yUvkrmN8WBR3LWgSxPp5+TgCfLM+PppmNT8eXU+xuLOfklQVH0PJJtOmlwlTQoyuwzUSFrnkrdz0eBV2Zis3StfBwbnePM02kBs4/Pj5V19JwtY9sGz0SO6Gpsz8pgKEkby5Yo6uhw9+05R+RT9UWby+Qnz9zcV6Am38e2mXfXyesbw0f3d6JNTKLylgX+Mcm7zsBZn2Bko4Tatp/pvVNWX5cJTyiD9Trll2HbN31Gu8xSZgQfgrrXhcsvCSGEEEIIIaTHVE7qRGTse1QReVaY6hBCJoXl5WUsL0e/hiwsLOBb3/oWnnjiiZZrRQghYRGRKRGZij/PisiPisgJbdeLEDLZFC6/FJGfAvAxAGtF5FsArlBKPRjv/hKAHw1fvXzqGi3a/Lxps37c58/Zl77gHaPPN95yVUlKv/gyHweqNVu2ZflYe6znYeo7Z6pPcV0/7nKsC77W2Zvcf//rf/0v/OZv/iampqbwwQ9+EP/pP/0nbNy4EXfddRc+8IEP4Gd+5mdq1YGsxObeSNLqyy/zNF360kvSDS694O1tVyEXV32uT2NnV3zr8UTkVQD+B4BlEXkjgP8A4CCAc0Xk/1FK/VWtAjzTBz1i09r9FeOEBkynTbl46vKx+rRhIp63TDSUZ3FZHqb528ZhyLvmTY3XbNs4S5mm7t0AXqGUukNEXg1gl4j8qlLqH6ALEzpIVx5KdbQypvkmVE2KfKypbnJd9txd19TOo6pueWbq2WP78MIDujd4+r3f+z3ceuutOHLkCJ7//Ofjpptuwrnnnovvfe97+IVf+IWJm9T5astQ+eT156U77o6CLOVM6Ja2nDi2beHkYwAAh7amQrNEc6am0leCxMKxJe3tkmjplLbuQ1K/8jRdvF/F6QdHtH1JftrbZzn+PDicbkvMzHVD8qQs3eh8/oSpsXrIclT5RJc3Pa/r7cYVcYmmcHAoFQtOLUYZytdvSct65UUAgLU7LhjLY4Vubu/KffrEW9+WaCDzyNNKJlhrWwzNxU3RNXpFxulV5LVJ25qhDL8L4PkA1gG4FcALlVJ3icizAfxPAK1N6ppoE1OjedM8bAe1vvtCG9rDsgmSXp8mJhq2usQ6Osa2+2dCk9fcNW5FEWWTulml1B0AoJT6jIh8F8BnReTfI1/vTQghI045Jfol9IwzzsC5554LAHj2s589WpJJCCGTiFLqEQAQke8rpe6Kt30vWZJJCCEhKJvULYrIKcnDKf7F7mUAPg/APDQhIWRVsry8jKmpKVx//fWjbUtLS1hYWGixVoQQEhYRmVJKLQP4dW3bNIDZ4qMIIaQeZZO6KwFsBjCK466UekhE/gmAN9UpVET+NYDfQPSL3+0Afk0pNR4b2oK6/ic+f2r1vcY5+xO7i37B5Wd6k3YarUHO6NPKloMWecP5pi9LJ+uQd12rtIplfWHnuVemx2aWwNr06+uuuw4LCwtYu3YtLrrootH2PXv24Morryw5sv90wePw4qnLvSx1I93ERUviQ4/i6gk3ek/kWCRUldlDrkA0eZtXSn1T2346gFq6ghBjJx+4+KT6KsumT2b9x+qGqi99l9Yoq49jl6b87Oo+G+rU0zSNyTi9Kl/X8yyc1Cmlvlyw/SkAxQv6KxCRrQD+JYDzlFJHRORTAF4L4COmebh0cNd1vj49eWzSJsFRmn65JZOAEOXuWq5nku7jwRbKV8YF00AtPvDh15OXXxEvfOELc7efeeaZOPPMM73UgdiTN6jOm/At5XitLc9GK8eUtoAs8XMbrtW2DZL06bbkmKlFrYw14+myOruF49LP07G+brg+3bbusTjdsVoeyyv/6p/18pM6D7Qh8eLG6HyOeyCqyOGTNK3cMFIdyAnptpmDUcZLa9ek22Ifu6mXvGC0bcO3H4rK1No6uRa6rZ7EmjsV6+yW7rgbOiZ+XdljXHDV0VThQ6NXpid0wfeAWSl1U8H2BwE86Jqvj7FTHr7fib7pw4SmLbrsNdeUztxGZ1l3/NOU5q/OpL6t9d0DAOtEZABgPQB+jUwIIYQQUgzHToSQQhqf1Cml9gL4QwDfB7APwFNKqS81XQ9CCCGEkD7AsRMhpArjSZ2IrK9OZZTP8QAuA7ANwKkANojIr+Sku0JEdovI7scee8xH0YSQljh8+HB1IkIImTA4diKENEVZoBQAgIj8GIAPAdgI4AwReT6A31RK/ZZjmS8H8IBS6rE4/88C+DEAf6YnUkpdB+A6ANixY4e1hUKi3TLVbJWJwavW43bVzDyELq6OgfXFU5c3qiMrqoOOSeCXbB+qI9Q2qVdXNAQ+zMr/7u/+Dr/xG7+BgwcP4vvf/z5uvfVW/I//8T/wR3/0R76qSWrQ84AUq4686+ViPN8mui/i3J5rW6xJRKg26cvYqU6Qk2wwkLqYBvYxzcclEIYPk2yg2sA6r6yic/QZHCRBr1/dgDFF5flqy4Qy/76qtuzKuCo0lZM6AO8B8AoANwCAUupWEfmJGmV+H8CL42+vjgB4GYDdNfIDsPKClUVXrHK994HPoBQ+jTTrBnUpi4Zpeq5lht++6fpN7CMojYsRfWmd4oiXuS8Bhwn5v/7X/xpf/OIX8bM/+7MAgOc///n42te+5lw/kk+egakelELfVsbI2PlvbwYALL4iDXiTBEXRA6WseywKKPLkc/SAIvFfPShJ/FvF0Y1aWbGzhW4Sjlm1oozB4dRpfCkObKJm0nHq/InR/pmDGEunB0pJ8tMDsSRG58lfff/TZ0TnM/vM+Jh4cCTdtrQ2Dh6zqJmUb4iOHRwaO3QFalPUGNObUjPtpThAitKCrHz5a28HkD/g9fFFYxm+88kzug9Zbsv0Yuzkg8Hmk0cTgya+OHDtH6aTF1uT9Lxzrmtg7Tu4WWhCBVcqOy7U2N3HcXUCvNTpN0bLL5VSezKblnITmuX1DQCfAfAtRCF5pxB/q0QImTxOP/30Ff+enp4uSEkIIZMDx06EkCYx+aVuT7yMQInIDIC3APhunUKVUr8L4Hfr5EEI6T6nn346/u7v/g4igsXFRVx77bX44R/+4barRQghoeHYiRDSKCaTujcCuBbAVgB7AXwJgN+F1BXcffP9XvQ9poRYv+wjX5cys5j6xNkYI4bS/pmuNy8qv+011a7au8QAPGv+HYLQ99UHP/hBvOUtb8HevXuxdetWTD+2Dufg+bj4U/1YUtJF2u7XpFkuveDtY9tMljHa9JOi53nbfc23Bj3bboE1fa2PnfqAy7jIeLwTa/6Gj+4fbaujd8/mUXdMl9TPpwk64H9MFnLJoy/aMjPPy8NUgzq37/3el9BXTuqUUj8A8MtOubeEraaoqMNmG9WX6XmotbRN5Vf2kAtZtg9CmYn7WDsPpBO6UJg+nH1p9Z71rGfhz//8z43KnBTa7vemfXwUFEgzJE+UYYm2bvqhp0b7nrrghCiNtmj/SGLOnUrfsBSbieuatjxUfMzyOi3hkqzIb7he06olpuKLaWHLsQYvMQ0HADWITcKX0m2zh5P0egXG65l8HuntBlpZmvYuYbg22j+rafqWZ2I93pMLo21PvyhagnzsN9J0S+tSw/KEpN3lgWgQmujuVux7Mi1ssPVUzO25Nnfil4ePwVmd/t2FwChVJOcnIhUpy+nL2KlOnIG8yUio55+tjtQ0iEuT+tMV7/qc+jU5jtInunXwMU6uyrMqXZ/HpL4pnNSJyHuRvuPHUEr9yyA1IoT0nje/+c25g6K71C0AgHPlBc1WiBBCGoBjJ0JIW5T9UteJqEqEkP6xY8eO3O1/g79vuCaEENIoHDsRQlqhcFKnlPpT/d8icmy0WT0TvFaEkF7z+te/fsW/n376aYgI/uzXPt9SjQghJDwcOxFC2sLEfHwHgD8BcEz0T3kSwK8rpW4OXLdCmhJv2xqYh6BtoXqbtKm/svGEKjs2BFX5V/nJlfXn7Hm79D/9mKfVE7gDu7GEyLxsgBmchx04Vo6vzKfv+A7yUFXOmKakIJiGqVcYmSwunrp8hX7SJ3kBSEIFJbEJ4qXT9LuzS2OnqvfZyEewRIdW53nlM7Cab7o0xvL9TvCFq5m7bfrEEL1K79ekqbwLTQZ2zGIS/fJ6AL+llPrfACAiL0H0oHpeyIrpnHPhWdi1u1nD6jIDc9M8qrb5xFQA7zJBDSGErSqv6qFkK0r2ja2Q1/S44T33OdfJliYeOHfiZvwQfgTHy0kAgCfVD3Dkgv34xm1frh2IQEQuRRRdbhrAh5RS12T2rwHwUQAXAngcwGuUUg+KyImI/J5eCOAjSqk3acdcCOAjANYB+AKAtyilCvUxbVAn2IU+qE8Cb+Sd3HIcxOPQGetH25KgINNp/A8sHBv9lWG6bWljkl7LcCoqRQ9UspyYictYMixtiOy8po6knoZLg6SmaY2nFqKDRTuJ5SR2i+YItrAp+js9j3G0bUsbor+z8W8qRzel+xKDcz1QzPr9USHLs1qglqnocxIwRWeF+XtsDn/JRVel9Tz5GADA4nOiLz023Hsgrdsdd+dUvnhfVT9JgqyU0bUBeB42dcw734Dn2PrYyRXdTLxpbIKZlT3/shODukHQTINxmOKzfW3eCX24p23xFaguD5N3rPH4u4HAQibm40vJQwkAlFJfBzAsSU8IITEymtABwCZ5FgYDk++SKnIVmQbwfgA7AZwH4JdE5LxMsjcAOKCUeg6A9wB4V7x9HsDvAPh3OVl/AMC/ALA9/u/S2pUlhKxGOHYihDRKWfTLH40//n8i8j8AfBzRV6SvAfDV8FUjhPSVp1X0C8PxeBa+q27GZpwOgeBR7MHlP3mZjyIuAnCvUup+ABCRTwC4DMCdWprLALwz/vwZAO8TEVFKHQLwdRF5jp6hiGwBcKxS6h/if38UwKsAzPmoMCFk8uHYiRDSFmVfmf+XzL9/V/vcynKkop81i7RvpubPVYbc+n6T5Ytla4pNzb99EXote1tr5U2WGLhomrrmoxaiPk1cs3tw24p/P4Dvjj5/5D1/htv/2566RWwFoGfyEIAXFaVRSg1F5CkAJwL4QUmeD2Xy3JpNJCJXALgCAM444wwA/kyNu6w9If758Z/7Q6yrmUddjWTbGrS2tC8B77XOjZ10bN8pZelDtWGVSbOPskzPy7Y8F/1ik0tdfejmXcm7ri6ULYU11YXqx/QB0/u2LPrlT3mrTQB8aN/KSCZbofI3xZfheRPlhiqrbDIWElctYcj13UXp9DYZ7nukMB/b9fZ1+p9L+X1AKXUdgOsAYMeOHYWDtFBG9y55JPqpFaJ0jAfNOPQjpwEAphaj05rSdGmJEff8Cdq2mZV/gZWG4emxSbrU6TsxB9c1aktro/1qOtbgrdMrEOvnhpoIL063sCnNd/pInKFWDTU9Xs+R0bhuSB4fmugBZw5r+xJfdM2sfP6E6XhbWliiOVw8Nn29Ju24+IoXjrYtrR1XP8zufyau03FR/qcdh6/OvRVA+eQt0Ue2xQqtYMk2W1z06W0P1Lo4dioaE2TbykeACtvjQr0vffeDtvuVKSHev3qeIdu1bOJurR9vURfaJkbiFhH5pwDOBzCSviulrio+ghBCIv76r/8ad9xxB+bn53G/ilZHnjUmf7NmL4DTtX+fFm/LS/OQiAwAHIcoYEpZnqdV5EkIIUZw7EQIaZLKQCki8kFEa8HfjOi7yssBPDtwvQghE8Ab3/hGfPKTn8R73/teKKXwKB7CPA5XH1jNTQC2i8g2EZkF8FoAN2TS3AAgMcx7NYCvlEWyVErtA/C0iLxYotCcrwPwOR+VJYSsLjh2IoQ0jckvdT+mlHqeiNymlPo9EfkvaDhwwN0339/4sq2kvCrPr53nXjn6PHfXNWP763h21D3OJY1tuTbl+DqPJjHRZRYx/bwfXvHvG2+5ykrnVxffugDTfJMly8N9j+Af1C68WC7Gk+oZfP33voMX4qW4Bf8bdYk1cm8C8EVElgbXK6XuEJGrAOxWSt0A4MMAPiYi9wJ4AtHEDwAgIg8COBbArIi8CsAlSqk7AfwWUkuDOTg+67I+NfrSORu9nakumEwuo3eRpcecidbu0gveXllu3/qXi/YqkDas9bFTk4z6qaHXGBC2b7k+J0O+g/VtSTvZ5BHCJ67s+Lr5Jvq2pC+YnrNreba4PONcxoR19JNlGsE8TCZ1R+K/h0XkVETLl7ZYleKRsTXg+x4xTlu0rSxYSVn+VeXmXeimjcy7GgDEhKIbzZe2rQ0/QRfa9uSrw1S8GGAK0ziqjmAGszjx7E3Yde+na/vUKaW+gMhLTt/2Du3zPKJvx/OOPbNg+24Az7Wtiz5R64uWVW2KDOXkyYOjbesfeBIA8OTzTwSQauH0z8s5bw1dqzbatib9UXQ58ZjTLrmajbfNaiK1hUQPF+vtprUfVpN1JVryJA85mi46ScrVtXqJn51ep0Sbt7RGS7cY/42PXdas5pZi7d3yzHi/XfuEVqecY6cXonIHhxZH2xaO1Y38IobHR76AM1+8aWxfcr1y/eoqFgknE0Jd51akw7P54qqMJjTIdWjg3dipsZMJtu/EUG2YNyEMpeXyHSioTL/Y9jis6vr6mEiVBSwZPrrfqy4zrz3Lvkxw8XjtythK1wiWjZ1MJnWfF5FNAP4zgG8hkp9/qH4VCSGTzrOwBYtqAc/GOfgGvgxA8NZfyrOHI4SQiYJjJ0JIo1RO6pRSvx9//J8i8nkAa5VST4WtFiFkEkgComzGaThJbcEylvH7v//7FUcRQki/4diJENI0ZebjL1VKfUVEfj5nH5RSnw1bNUJIX3n86EM4DgPsV+Prwj772c/i539+7LFCCCG9h2MnQkhblP1S908AfAXAz+TsUwBaezCZroU1Fcr6DjygB08JXVYVddZwF5m6u3r3FQWBKTSVj9sxLwBNVd4mRuOmx/oi7zxtznF0jNb+uuazqt6h1vPniY2fOLoXx+HZeAzjXlWf//znOalzxETEDnRHB0Da4eKpy60Dq7hQFIzFJgBBk33XpCwPz8nOjp1MqdKDNf18SfRZc/veX8vA2ubalpl0N+Gd25T+zmdgFBdsA4EU0bZeMQ9f52ZDmfn474rIFIA5pdSnGqyTNSE6nGmeZYPxwfazrQbrNuXWwaQM04nbYMsppcFfXIXUg+1nW6UPha9gKnkPyLzJv8/rX0cAbWrqWhYMaHl5GZ/5zGfwi7/4i0b1nRRygzFZRLwsysv2GlaZPycBUha3jUckS8zH9cgmSYAUpQUAGa6L/i6tTQOQqFFAFS0oSWwcrjakZuKJuYSIFgwlNhsflaobiCeHakFZVJJwrRY9ZTEua0WdYuNyPe5KfPDUArSNK89LaXp0yTHDmD4ap9MN1Gejg6Zn04OH6+OAQYtp5Wefjk5o4cQ0YEoShGVDPCFLgqMA6fXSJ2vJNc7bNtz7sJERsQ/j8sTcXs+3L7gETyijy2OnJsYXdYJhJOjHuw6MbeoQKuBLtg6mwdva/JKu6It22zq4GH8nwUBsg5i4tJfPgC152+p8+VDnuFKfOqXUMoC3OtWEELKqmZqawrvf/e62q0EIIY3CsRMhpA0qzccBfFlE/p2InC4iJyT/Ba8ZIaT3vPzlL8cf/uEfYs+ePXjiiSdG/xFCyITDsRMhpFFMLA1eE//Vf0tUAM7yX51u06QZYpNlVC21rFMnH8sZdDNr13rYYnrOvtfZl63jr1MX0zKLynXJFwA++clPAgDe//50CYGI4P7777fKp+u4tJePe91UYweYmVGTySJrem/yTMr2Ex/9NFuPMor0eCHejYEN1nsxdtLbtcgc2nYJZF561+VnrnRdZ+z7+e/7ntDRNY1V5Ze9C+sawofWMladj41GOHsvuS5ptS3fxNJgW2UugTnnwrOwa3d6Mr5NTX3f7GU6ulAPFhPBt6355dze9zoZqNuuc87TNAzvuc9owlmVt8n+ph722XJs9ZZ5JJrGquva1gvtgQceaKXcScRVjwGkmqu84BnDDanOa2oh0qYleq8jJ2mviJx1HSPT8Sl9mxrbpqbibdOp9k1GyjlNexebjaul6ODpNakGb2khFvNphuQjndtiWtjIkHwp1bQlJuaykKZbWhfXJcfIdXp+3Jh85lByLtp5xVUarkvzSPSIw7XpNomLevqMtK033RsJ8o5sTrdteGg+yjfHGH5pS2QIr3bfnpb/khcAABYBfPlrbwegDSoMA6XoZuZ6PzGZBObpNtsePNfRA+v7ywx+TejC2MkV3eg4GdDr27L40MAVkTWTrjM5rPMMbXIMUSc/22Or7omiib4v8q5nn03CE3RtaZM6Y5Nf6iAizwVwHoCRolsp9dFQlSKETA7f+c53cOedd2J+fn607XWve12LNSKEkPBw7EQIaZLKSZ2I/C6An0T0YPoCgJ0Avg6ADyZCSCm/93u/h69+9au488478dM//dOYm5vDS17yEk7qCCETDcdOhJCmMfml7tUAng/g20qpXxORzQD+LGy1/OCyfrer65xDcfHU5RhsOcX6GB3bZZ1t0sQ6+7K2sPGYy8vH5XoVEeqa6RrIv1dfwotxMQ7jKP7kT/4Ejz76KH7lV34lSLldxlWj6aqpJKuPSy94e2Nl3Hj71bXzquqvZXq37H2SPXfb+gW6d3o7dgqFL612nbJDlLVz+8pAp3P3rIz6rC9JzVtuGNoDr6x82/xD6th0fHpI+hqTh+hDvt/xJpO6I0qpZREZisixAPYDON3guImjKx5ydfLK1a/te8RI79YEY7ozTb9XZuoeuh6u6VzXt5cJdvOul09fIB/5JUxjGiICUYKnn34aJ598Mvbs2eMl7y7h0l4+2thERwek2ifZccFo2/S+xwEAax96arTt0HOOBwAsx1qxhY2prmhpNs5rXVrG1DD6u7h+XOe2wqduEIvKNOO30TaNqUT7NrMYJV9OBWwyPZ5eJbq5NZpWL9k2q6U/OhXXKdXoTR2JTlL32JtaiD3uEi8+LYvkvGee0SsQ/Vk4Jt0kwyiPtU+m+SYef2ufTDOcf1akpVtzIK3T4MDhqKzj10dlaZq6qSOxKZ7uKxen1ynT0tXR2+RNGk3zqwqO0ob2pIEyezF2qrqGtho23wFR2vhivMmxXt3+12ScBpN0rrrEqvyb+EKgbMxcR9tX51rbHmsyqdstIpsA/DGAmwEcBPD31jUjhKw6jsXxWFQL2IptuPDCC7Fx40b8o3/0j9quFiGEhIZjJ0JIoxRO6kTk/QD+Qin1W/GmD4rIjQCOVUrd1kjtCCG95M4n/z+crE7ED8mPAgBOw9n4413/GU8//TSe97zntVw7QggJA8dOhJC2KPul7m4AfygiWwB8CsDHlVLfbqZahJA+s36wCffgNhxV89iM07AZp+PMM89su1qEEBIajp0IIa1QOKlTSl0L4FoReTaA1wK4XkTWAfg4oofU3UXHhiKEWW9VPiZBQeoIG6vKz/q0FXnE+Q4AYtPWpmt9syJTX6bmoYOd2AbY8VWubXof7WCSX5Xh9WDLKThz4/Nx2jObcUQdwqPYgztxMzbOHI8t687BX+/+GM4555zcPFYjdfoOg6MQU3ae/pZcX7kibJ4nbRo9Xzx1OabPP2dsW149mqhnF8dOoXAJAGW6v857t+zYqqAltmU2HWzN5lgfwUZ8jjHqBi+0LcP0/Ns4r1CYmI9/D8C7ALxLRH4EwPUA3gFguvTAnhI6eEGXcD3XImNIkyAfdUjMuuvk1ZbReEKVcXtZHl0yOM3mo1+TvEAuO7e+GU8vPobbD/wNfviHfxhLS0vZbCaaNoIs6ddED5CSkBhcJ0E5gDRAipoeN9+WYbJPyyMOhiJpTBAsrY+urcxoG+OIIrqZeB5TsUm5JBlOaYFN4jotL2um4lOiZx/tT1zPtXSjoCnzaeWXk3rOj7uqL62J6zuv5RF/HKbNhXU/SOqhnUNc5cUN6bFrD0T5DY6kgVKWZqP9C8emdZo6OYq4sjwbZ7gtNf6dmo8yTgLc6ORN1kzNx03xEfFSxzbIVNm7ZOmOu53fNUX18GA+vqrGTqY0NT7KG6eEMtLORrsc218yebR5N7i+R5LyqybBJtekzXFI3TFr22PHJsYB42+zDCIyEJGfEZE/BzAH4C4APx+8ZoSQ3jMcDvFXf/VXuPXAl7D78b/ChsHx+OxnP9t2tQghJCgcOxFCmqYsUMrFAH4JwE8D+CaATwC4Qil1qKG6EUJ6yq5du/Dxj38cX/jCF3DRRRfhpDXPxvnH/RQGUzO47LLL2q4eIYQEgWMnQkhblC2/fBuAvwDwb5VSBxqqT+u4rh8OpWnLM5o2+QnZ1SSxiSWjTS1LbdPotAibfpLoKW2WbPrGtV+/5pJfxik4A9994rs4/vjjx7Shk0aINfVV2kVC2mYS+mKAe7ezYyddTwaUG1HXNcEOqTNv8x3uiy6OT0zweb8UjVOz/bRu/nlluKavqwsMPSYvC5TyUqucGqCOcWob9fBRfpkxeGhMyq0yOM9u8/FA6JsJvEu5ppOgNta3m5jaXyj/BABw/PGRmXWbE9O+kdUouhrcr9BU5eiwjjx3KwBgaW26Cn9xY/Q5MRWfXkjTH90U/RXNkHsp8s/GsqafS7R0uln4VI7R+GAm0ogpzZB8ShfnAZiaSo9bjo3IV2idYnXS0lJ6DlNxBZWuvVuM9iutHon5uFozrnMbPJmIC9OiEpNyXWenm46P8o1800c6OgCYP17Gjz12Kk6n1WkxapPBM1HDz5+SOr3PPhltW952Mr78tcgIfOfpbxkrv0hLN7fn2hUG4kt3pPE6+qQ5cb0fTPOvSxfHTiGpa1LdRtl9w6f+PcF0suwj9oJp+XkMNp9sFdDGt/l5aEzrtEIP+khxukpNHSGEEEIIIYSQ7sJJHSGEEEIIIYT0mEpLg66jL1PLLvHqkndEWT1DkqfNS8r37fvnw38ui6lPH0mx0UV0RTfRV+6++X7nNvCtOeni0hIShh97zX8BABwXuBxXT9aQevTQ7/XV9EwzeXbYaPgTyvzBQngH2rzXXMsva4e6fsZdpmv3Q512bVoPZ1KHLHXL6P2kzjc+1w+HqkeVT1wyERruK1l461Bu38gGmQk5IfTdbl2avE5Sn+gqNnoTU11CnneZeskLRp+nFiItl66pS7R0ie/a8kxh9tH+2P9N16UNZiNd2PJQ077FurnpmdR3bnYQfc7TzSUsabq46Vijp2vqluN8ZVkTvyX7NX2ejOqk+dRJ7FO3pPuRRccsr03+pnumDydlacnjQ5dmtXSxDvHIiVrd56O/iWYRANb9ICr/6Ka0TjNPR58XNkUZJjo6ABgcOAwAePq8E0bbnvqxM/B3n/y3K7RyyVnrmjkUbKt7b/fFk7UMF51PX9G1SS7n6uop1rZW0zeh9YB18m9CZxj6/IeP7g+af51j8tIMzt5mXZYtw0f3j8oW+aPCdFx+SQghhBBCCCE9hpM6QgghhBBCCOkxnNQRQgghhBBCSI+ZKE2di6AxRJCBvPXjeSbiRem7uIa8K9Qx5M5e6xDGlC6YCmdDB6WposmyVismbZznTZbdPrfnWr8VI53l4qnLMX3+OUbpiraVBbYoS28bPMIWvhubwVTzlphC2/iGlZXVxvXUja3rnEcZNhrCOkFeXOoQIlCNSfkhTMrbYOf2t67499w9785N15Y+t/eTurxIjmXYind9daJQJuJ5eZpOeEKJXX0KgPVzMTXkzju2KwL4to3T6xj3+kg/aZxz4VnYtbu94EpFRtNZ9AApCYnR9dHj0igfi+vjgCYLUbgNpa3lWFoT/12rBSCJA5noluFJgJSpmTSiyOzscLz8OECKbj4ucXCTmTiIypIWOEXFhaipNP3S8vhiExUHTVnSg6LEwVCmBmmglqVh9PpT09r5xCbloyAry3oQlaT89PNy/AadGo5v27g/zffICUk+aX6HT07rl3Boa3QtNuyNAqRMzS+Npdn4wKG0LrtvBwDMn5bGwVz3nb1RSTsuGEunT/7yAqnUCXzS1LNgtT9zQlMUtEmfDFUdU7Q/lCG0afl55+AjsEhV8Lo+00YwpLJxetMBXkyOKZrY1S3b5TguvySEEEIIIYSQHsNJHSGEEEIIIYT0mF4sv9QNfuuaJRdh85O5idFkCOpoqmyXBPTF1N0XTS2ZaKLtfJhbmvbnOrrE1YRL/0o0ci76uCLdHSFlmPabkPexS96T+E7qAz5MvX3XI6/MZP9g88nWx9YpP7TRdB1c3vGmaUwN3Js6/ybHzr6xLb+VSZ2IbALwIQDPRSTH+HWl1N83XY8keImLSXcVriadpJi2DblDXac6a/qb7jvsq2EZaT9KBtd5puI6ic5usPXU0YQwMadeXrdmlO7I1vUAgJmDqfZtahgt3kiMs5dyzMfVTKoVU7H5uAw0XVqsURPN/HtqaqVWDgCWY72avm0m1tklpuNTU1p6jOvbZCnW/mmivuVkAYpmdL48TMRv2rGD+LyXcnR5ySbtHNR0VP5wTbptENdJkwWOin362enGqdhDfHoxTTf7ZFx3TVq35kB08HBDtHF5NnU/n1qI9HaJFhIAZpJrHevoVpxDrKPT0XV0ZXpMve8k2E62XJ5roTRXpuhl6Sb3XcHn2Mm2XdsyhPaJbuAcEpsv+n3r3EPm08a4tu0+k8VEPwe0V++2fqm7FsCNSqlXi8gsgPUt1YMQQgghpA9w7EQIKaTxSZ2IHAfgJwD8cwBQSi0AWGi6HoQQQgghfYBjJ0JIFW38UrcNwGMA/kREng/gZgBvUUodKj+sfZrUA9Xx3EuOqaNNKPPVc6Eo3zK93q7lT4/ZGFTp+/Rj+0jVNSzaVrcsm/xWqy6uj1xy0VUAGBGLlDN6PmtLMm29oZrw8Qylqe8JnR47hfJ/y9PDhfKXKyM5v+wy1CY8a/UysrYMvtvChxehKTbLrX359JZZc7gSYkzmmkcbk7oBgB8F8Gal1DdE5FoAVwL4HT2RiFwB4AoAOOOMM7Dre/knWMeTK5kg7Dz3SuPKm+bdRWzqXOar18dzz6ON82jbpy5EHq5pu6hZ6QpVurkylracOLZNnjwIYOXkbno+0mvJTHodFo5deZzSNXVJMpWjbZtKdXnTsVZtejrdNpge91tbM4jM3fRusBznPT2lxtIjzm5Ft4nLWNb86gbTUb7zR9PKJzo/pfnOTcX1TGsJqOSNGOcnS2n65dkoj8HBdFvSFIP5NI/BkejvMJXDIZEGrnkqLe3IiVEZa54eP9fBoaW4zPS89M8Ji9uige7MA+V6pyL93Nyea1cMJMr6nWkwgTrUmbRNynupBKexky/K2jcvAElbWkjb/V1+X9bBpU1cJzx9uff0fjrYfLLRxLXtc+uDT91DAB5SSn0j/vdnED2oVqCUuk4ptUMpteOkk05qtIKEEEIIIR2CYydCSCmNT+qUUo8A2CMi58abXgbgzqbrQQghhBDSBzh2IoRU0Vb0yzcD+PM4etP9AH6tpXoQQgghhPQBjp0IIYW0MqlTSt0CYEfocqrEiyMB7vazg5RdFRSkbv51KTMYdynbd8COurjk69omIbCpv2lAlVUWWCA4d998v3VAiSw0TiZt0faz16Wvr+ZnmO3YKft8cgm81Yb5su01rgoeYnoOoYK9uNTFNU/TfKvq4XqftWXW7Roo0DbwTNff1239UtcphvfcZ3RhTMW2Pl46ZUbTXe9UeRTVvYqqiVUfzt0Gk6hOPr+EcJnoTVqbN4Ftm9mmXxEIY9/jmNtzba6B+cLJx4w+r33oKQDA4W2bRtuWB7Hp9zDZMF6W0oKYJCbdU9o2iT/rgVISZnLMxNdOD8fS5bGsu3Rn89UMzBPjctHqNIgdwZUW5GV4NM5PC54iM4mZefR3aj5VKKjYYH1JC4AyOBKbtM+m29Rx8V9N3DAVm44ffla6cfpo9Hft4+n5H94cvZITQ/jhej19VP7s02m+s/uficratBFZpjedgxtvvxpAfnTLvKAoyX7bQD2+33+uZZN2aMLUuynj8CKSwb7LFxYu90TRuYaMSllkMB+q3euatNuMK0P2nS4ZrTPSNSGEEEIIIYT0GE7qCCG9REQuFZG7ROReERnzJRGRNSLyyXj/N0TkTG3f2+Ltd4nIK7TtD4rI7SJyi4jsbuhUCCGEEEJqweWXDjSx/DHEuuREL2aqFbMxhuwSbWsufF87X/mZtkuVRqztpQ4AICLTAN4P4GJEob5vEpEblFJ6NLg3ADiglHqOiLwWwLsAvEZEzgPwWgDnAzgVwJdF5BylVLKG76eUUj8IegIV1L3mL/+JqzFTnYxMOJde8PbaeejLeOf2XFs7P9IOdTTaNvmY6tKqzKRDUWQiDuT77dni+xx8vP+7qp9z7ZN1ymoq9kNbMqmJntTVMaQMWW4b+WeDtgD5kzuXh2td480urXUe7nskUE3sKLsOc3ddM7Yt7/oWrenvw8TcgIsA3KuUuh8AROQTAC7DyhDflwF4Z/z5MwDeJ5Hj+WUAPqGUOgrgARG5N87v720rcc6FZ2HX7nrt6eN6DPc+PMrn5T8R6agSY2qdqcVUe/bMuccDAJZnU03ZzOFIt3XkhGibLmNbWhvtE80rW2Yj7ZfkrPmY0hKuGSSatnT/bGxIPq0Zly/Fpt/JtimkByTG5LouLslPk8VhOq7LQNP0LS5HJ7K8lFZ0aibav7SoneTySiPw5bVpHlOLcfmzaZpEDTc9r5mUzyTb0nymxr3XR+349Bnp9HvNM8sr0q97LNXbTS3EOrsNaX2X162Jytr3+Fj+us5OdlwAAFgC8KVvvmNFOn3Spmvpdi1/OleXaUMdM3HTPEkxyfOp7PnvM56AT2zGIqY6s6pJW0jdXt129n1cGzEamhyTmGoaXTSKXX4GcfklIaSPbAWwR/v3Q/G23DRKqSGApwCcWHGsAvAlEblZRK4IUG9CCCGEEO9M9C91hBBiyUuUUntF5GQAu0Tk/yqlvqYniCd7VwDAGWec0UYdCSGEEEJW0ItJnQ8vqDz/sao13aF/Ym1irbRtHk3SlfM3zV+nKz+/6/1ap+79UpcGyt8L4HTt36fF2/LSPCQiAwDHAXi87FilVPJ3v4j8JaJlmSsmdUqp6wBcBwA7duxYuV7PAV8+UaOlcjnLLglJMO1Pl17wdkhmW9F93baOuYoJXH7eC9rU5dfVifVpPBFyCWXb905em9WpU1W/sHm2td02efRiUrca8dFB6uZR5CHSlc5bRJ36de3cbOqT92VFQp7mzqWMouNbGNTdBGC7iGxDNCF7LYB/lklzA4DXI9LKvRrAV5RSSkRuAPAXIvJfEQVK2Q7gmyKyAcCUUuqZ+PMlAK5q5nRWUqYnydMK6P5j8vVbor+xjgpINVcHd6Rz2Q3fPwwAePK8VHs1XBcN4xfjTYNDabmLx0Z/VXakD6wQ2omM+9QtxQetHaQaseWcjJJjk326Li+bJvocpZuRtKyFpRw/u6Qo7djlYWKyl1PGkqz4CwCxLA9TQxlLN6VZ7SVV0X3q0vLTTYl+UU+3sHEq/hv9e+0T6b51hyKzu7WPLKTpT4xM82Zx4mjb1JHIAG/pjrtH28r85/KCnyQBVmz96hK69hxd7fj0yTTNq8jzrCyfJr3umgjU0oVxXEiaHmu5jkl9Xd8uX4sETuoIIb1DKTUUkTcB+CKAaQDXK6XuEJGrAOxWSt0A4MMAPhYHQnkC0cQPcbpPIQqqMgTw20qpJRHZDOAv44nCAMBfKKVubPzkCCGEEEIs4aSOENJLlFJfAPCFzLZ3aJ/nAeR+NaeUuhrA1Zlt9wN4vv+aEkIIIYSEhdEvCSGEEEIIIaTH9O6XOhMRa5V4sSi4RBcoq3sXRZldCiSSbR+XABSmbdxGYIAm+nXZenWXc666JqsFm/vERJjdlfuf9JusD12ioZs+/5yg5SS4BF7x9c5py/y6SXwEmTNBb7cqLziTd2zRdQh1Ll2+7raBPXzla5uHcxDD7W8dfR7e90Dt/EKSGNe7eNu5YtvGvZjU5Rlo+mCw5ZQxA+6QBpGh8qlLG8aivvIO/TK2HXSXHReCxCy9LBAKkG80XwcTA9suvyi7hKlJqil6gJQsG+49MPp8eNsmAMDMQS3IyDFRNJDpOBbHwvHjeejm26MytQAkSXAT3Wg8MQzXjcYl3qYHTFkzHUUcSUzIdZJjh1oglJnYwHxhmG4bBWrRykredEpzKU/2Ts2mzuDLiRH52tgsfTnNd2o+rpMe3yX+PFyvFXUkTn803TZcG+/TDckXo3ouHJNmOJgvDqa6sGk2SnMore+676QBX5OAJ3kTqMSc3tRMXJ48GJW19dTcQCpZTJ93en6mfX3Sg01MGmUG3q7PN5cvBLOTy+xA3NV8u87+tozNm6yz73M0GWu45mVzTDKhM82vrWcOl18SQgghhBBCSI/hpI4QQgghhBBCekwvll82ia2mrS2dm8+lbabLD0IYPppo33yUX1UP0+1NGJKalGF6/bNtltXdmSzL9NXXJnE5ZplmxeR8L566fIXHnCmT2JakHnmehV2kril0FckS06zH3mpfgpl9Trm+T7v07NGXxJnonHy/z0OMSdrsp3ViOviOB1G3bau0t76vXRNzApN7r1eTujoN5FtTRCK6/KI01Uf6XlMfClsNgA+jzRAvnCSPxDh6tWCiCynTMOWaymsD+Oxxun5qacuJyLI4MrpOF2wsRbKtkYH29FE9fbxvIb1uan2sn9M0cEtLsaZtzbg+bFHTwyX6uaHmvr0Ya9im4wosafsSrd5gOtWUJdo7PV1y7JRmKr6wGO1fof2bjo3ONYNxJLsXxhexLK+J89X3xekTHR0ALA+S+qbbEo2ipFXH/AlRPmueSrV/6x6NDMYHz0QHJObiALC4IUo/+2SaSZ45uG2wk7zJj++Be5GOruh50oSZcJX59SQ8n2QwwOBZJ1cagfsgdDwC22NNz7nLYxigPR2eTR517kM9OEqXaTI4ik6iDTXtz1x+SQghhBBCCCE9hpM6QgghhBBCCOkxvVp+WUaX1nknuPikhSzftKxEd1W2ZFXXZs3tfa/XZXo7t755FKq/Tl4m+rEQ/SbbNibpmuDiqcsrrQ9M8gC6v2RlNZLty13XVpFuYqs7zlLU70ysEdrQqHdJ0zQJ2F7DOnKCKk88V3Stnr7sre7SZB9er3lkw+3P7Xt/bZlG13yRy+qTd/4m+dQtt4tMzKQui2vj2/pONHmRB9vPHn2eu+sab/nq51A20agzIUiO1SdrtuX78AQp8gRz1Xa0QZ06Dfc9YtWOPj3UutiWdUk8NPPwrTEp08/lXRtdKzW9aeN4fkcic7XhWqVti73jZqJ/azZtI53d8oxuQBelF91/LtayLWmecGsGmpgsqV+sgxuIdqys1OFNa/sSvZ3SfO0WYo3erKazO3Q0EgZOTY3nqzTtndJs7EbEdVax3m7kTaejSa2mhvFh2ps0OYXlWe2YI+PpZg7Fmr5BmuH8s6KGT5R0yzNaGx4YxtvSi5J8WvqpC9Ntf3tzVI/Ya66MuT3XrtBe5mn0fNKEpspk8rha2P78MzC3O3+AG2KM5AvTMso88Zoar02aj2LRxLXO+Mvm/Hy1hcnYpW5ZTfSx7JcKQLnel8svCSGEEEIIIaTHcFJHCCGEEEIIIT2GkzpCCCGEEEII6TG91NTpuqs8jVYepsaIOqEMrl2NPnVNnWkwDtO8u7SmO0tVUJaErGdKngawShdmspa8SWF9SGNyEgYfz5O+GEmT/qBr5xIuveDtaMqNrej9VydwAekGXQq2Ufb8DaWtampMkAQEcfFMu3jq8rHAMqb52N67pkFZXMczvvpV2bPENrCMq/m4777Ty0ldHnWj+oWizJzRVmQ5vOc+AO7natJZyiaIdQzcTY/NpqsTIbIqKAgQ5uFr+kVDcq4hByk+z882ry5/UdAWddukKAhEnihcD54hsZn1ka3rR9uSIChrD6QRQw6dEgcjiddwTGnxTaZi0/Gltdo0IDbu1nXbycdlzZB8Ic5nnRa8JDETX9SisWQDpSwtjy8m0QOlTMt4UJYkj4XFwdgxS4s5+S2PT2skTqdm0/qMTNe1Ko6MxofasfG5rnlCSxcHnpl5Jt02jNtx9mCa4ezT0cGHtkZRVk742++N9h157tY4Ly14Sjzpn96vZRybjg/vuHu0KflyYEXwnBxz8sHWUwv7WF4ewPhgebj34VoTt6afM3xO+ccmSmQX279ssuMr2I9t+2QjPOrk1de0rKpxaOgvUUzbs8yEu2pymldGX/qnbflcfkkIIYQQQgghPYaTOkIIIYQQQgjpMb1YfnnPbd83MsTOEupn49AavFAGl2Wavuw64DzNXt5a4bJ6urST7zX4fdENuhLq/JrIdxK4++b7nQ3Z89o4T/dUdAywcgndjbdfbVU+IV3F9l1jk18ek/huAFY+nxJ8PKd8YmMcXYcQ756yJZF9YUXcBk1zV/c6NBkPoMk4B6Ep0k2atk0vJnVZXLVdLgbVvmjCdLXs2DJNn6+HXYh2c7nWtjpGm/0maXzqO13atM8PtEnAZ/u7mEGrl7wAADCr66xiZGnd6POGvZEj9vwp6bblzBthuDb9nPiA67I3NYz0XcOjmkv5mujP7EwqNFMq+ZvqwRaXxs3EB7GJ+MIwqshURmMHrNTPLccKvvmFmbF0uj5vOIzrp8vnkjppOrsxT9ehptWL9YPTR/Rt0V9de4i4nfS2m16M6542NdY8GesBNZPy+ROj8559JspkacuJo31La6N6bty9Z7RtcVs0CJt5INWZJH1mhWYuNiLXA+/omjsTEq2d7+cqn3H9pwkTZtPxismX1r4ZbD7ZehJkW486k6xQ48+m7sPsDx0+Dd9tJ4SV479MMBrTegB+viTg8ktCCCGEEEII6TGc1BFCCCGEEEJIj+nl8ssmsVmaGMpvx4cnXZ3y29JBZbVKPurRt7XXvvSbO8+9cvR57q5rom1xv8paMFTlbVqnvrW1L1w8MelLR7qOjX66rN+vludAX6jznA7h++aqUbbNP8HVu82mnDKtWl77+9AZmsRqqHutB2dvAwAM73ugMt8iv7kkD5/U6UOufpp5ZenXsegaFvUTk2Pz6MWkbvvzzsDcbn+TGd/UvVny0o8CJzj4tOVpumzXCRd5qIXWBrpM4IrybWvwYDvxbktv2Xa+MiZg6h/nXHgWdu0Oq6GzvScGBw4DAJZyfMqmFo8bbTt0RuRZp6bT67BhXyQOO7g10qDpWrGlNTmFJbq0HK+3xWGqs0v0dfPD9JUzrXnWJSwnfnLx3+Gyrncb19cNl8YXmyzHdVlcTMtPdHtqKa2nGk6tOIeo4Hh/rKWbGo7r55Y177rB4TjdQprFVKyfm55Pt6lBkj7dlmgUZw5rXniJn9/eKOHBbRtG+9bvizI8es6W0bY1d+9DlrzgOUnfWaGz2zt2aGcIpcdabfh4PoVuO33AavKM69K1DBXUpUlCedIV5Vv2PhucvQ1z97zbW1mhj80j6RMu+rjho/tzJ/WA+diJyy8JIYQQQgghpMdwUkcIIYQQQgghPYaTOkIIIYQQQgjpMb3Q1PkitAC3rbJsqFoznBdQo+m6NNlmLtdphbA11i/aBhspys/2WJ95hM63q/eED7pgqp6rmyKrmksveLv1MSGeR674ymfn6W8BMK5ZncRnkU6e+biO63vKxUjaR+yBonxN0k0KodrVtLzQ2IwTTPtkVwI1uV4nm2sw0ZM6UwGkzUU2CcphegFMynWJdmlzTN0OHsqYMpSZaShRcCh8PYCG99w3ts01kqrLfdWHtvaJTfAek5c0kAY7UZs2rth+4+1Xr0i/dMfdY+W8/CeigBlTC2lwksSuW992ZHO0NTEh1wOAqHhdh+jBRkbG4em24UIUoESm0gAgiTn4YDota3lKMnkA09PjwVNG5xUHXtHNx4eJgXlOoJalBS1QSrJfK2tUZX3bQnSSowAxutF6fP7TR2V825E03choXAssM4j3K82jPW3PdNuxdz4BAFheFx288YFDab77Ho/y1QzJE7LbvvTNd6yY0E2ff85YP0n6k6nBvemzPuSXdZM+CVvthLy+Tfcd0/Ly0vkIwOJyvnXqbJveNEKmbZldMVofPrrfuUzb4EE6XH5JCCGEEEIIIT2GkzpCCCGEEEII6TG9Wn7ZxPrZ0EbfuoecrsOqq8EK4e9Sx3i96aUOvtaZh7r+eZia+Zr2dZt9IenK+vUuEbJNikxdZccF6Ya102NpyORy8dTlY9rKus+DKq8p137te7lmsuw0z6fRtS6rib5pn03rm01n2+9GY7gcs/K2xz9ZTM81b18InaPLsyO7v076qjrXvV4+Td1Nx/NF9GpSVwfXixZyXXIXSYKjNDEwb7udXMv3MTH3VRebPEL05SbWufeBJs5vbs+1Y9tMH/7y9VsAALPaQF+ePAgAeOrHzhhtU7HOLdGALc+MdmHmmejv0qymQYuFYcuafi7Ryi1qerTpWU04FpMYh0/lmIonxuV5huNLmuH4cHF8sroca+mmZtIyl4/G+eVo76aOagtW4uJkMW6Hw+P6OV0Dl5iJK+1NquL9a59I6z5cG+Uz+0y6bXo+0g+uOTAcbZs/LTKHHxxaHKsnYt3csjZBV7EeTn+RJxo5fVKjk/TVJHjIYOupo77lY1LTxXt9uPfhTtYrNCbm43ViD5S1aXby0zSrSdMd8lxNJoZ9oAuaSpc66PdRorWj+TghhBBCCCGETCic1BFCCCGEEEJIj+GkjhBCCCGEEEJ6TC80dXkGmrYm2WUaMT04RtExJsfWCaxhUlZdQqyJthXgZts622bZ66Sn96Ffs8nPVTDuq691la6JwvtGXb1qn/oK6R6jgA9a8JBEX5dH2b6y/AG/AVVMy8wGiElIziNPm7oa6UKgCFej6Tx2bvnt0ee84CU26Hkl+bVFXwOPFbV/tm27gEkb21wHX77YLvRiUqeza/nTKyZ0RWnqMLf3vcHEpnnYllUlwGxL7N7mA8eXKDWZZJa1oa+omIMtp5T2NZP6hzJ/r0OfXjxNUSY2r9t3s9GyRoP12KwaAJJQHHrwjMVXvBBAangNAIe3bYrSzUbBOJZnUkH2chyfYzCflj2MHbyX16TpJE6nhulCEDUTBQVZnE9fOZKzTmQhCYyiioXgy0MteMlynMmSbioe5bH8zGy6Kd42dWQ8sIoe+ETivGV5fF8SFEU3JE8+zz6jVzCuktZ2g/ko4VJaJcw+HddzNm2I2ce1xgUwdeRoWrc4sM2UZj6fVE83H5+O9xcFSklIgofokzY9aAqA0n1A+ABPLvkv3XH3+JdphhNT/biyYASTis9nd8iJUPZ5ahKUJXtuPgy0XfMKSV5d8oJt5O2zzddkn55Gn9ANNp9c2kdMrlfZeZkGefM9XvY9nrelteWXIjItIt8Wkc+3VQdCCCGEkL7AsRMhpIg2NXVvAfDdFssnhBBCCOkTHDsRQnJpZfmliJwG4J8CuBrAv/Gdf5XOzaemRfcs85W/a11cKdOZmejiTLl46vLc9vKVvg6hrlko3UKZuWdCtu3qLhu11U/6NtXsInl63yKqDFPL0pUxaW1Kuo0vTa3p86xLS9vaxnbslPd8MjFudtlXRp1nlMuxruXZLOe0rYOPfuzjWd/WvXXx1OVW7drU2MlHfj77aNHYyZS2NHX/DcBbARxjknjMQPPgIesCy9bP5g12Tdfb6pMgV0IYR5qIPdtguO8Ro7XZST2r0ttSNcnP1sOFsr5T1V+amsSSdvBxrxflUaYj0oNiJLqoZP/Rc7aM9i1ujBZvrD0QCcOWZlIN2nIs5ZpKZV6Yit8g04fTRR/Ls5FWTGnat6XFnEUhsc4O82kZsnExPjZx+h4/DJqBuIq1dKJp6hLj8EQXBwAq1kdNLejbMHbs7NNxEcl5aeeafJ7RXj9JujVPpYUlRuNJGwKp0fjah54abXvm3OOjMp9MK5Vo6BL9nNL0c2rTRtx4+9WVOjdbyo5PjMxtaGMSVlXmBAVH+W+wGDuV4dtU2vS6+3i3luXlYwA/fHS/03Eh8HGdEr1Z7vg3kPYx7z01fHS/1fivCh91t+23JnVz/fLDB40vvxSRVwLYr5S6uSLdFSKyW0R2P/bYYw3VjhBCCCGkW7iMnRZxtCwpIWTCaENT948B/KyIPAjgEwBeKiJ/lk2klLpOKbVDKbXjpJNOarqOhBBCCCFdwXrsNIM1TdeRENIijS+/VEq9DcDbAEBEfhLAv1NK/UrT9Sgi1NpvagT6RR2vpUJ/Fgctos+f7bOeQG34Sa1mXH0PQ9VDX5JJ+o2pBiPP+iK7xNJV05kcpy8PNV322GX9TFdoauxU9ZwqeieZtnueT5nNMro8D7m2ZCU++pqpHr3qeN/LafPqZ3KOWb9Am/yLynD1MzQdp5WNf6rOp21JU5be+dQB1bqksoAQPvzXTAIeuN7gPr1TTNPbtle2/Yvq4HPtfEhCljV6MMQTusSbzrV8m7YO+bAxuSeqttX1gRKRSwFcC2AawIeUUtdk9q8B8FEAFwJ4HMBrlFIPxvveBuANiKy+/qVS6osmeWYZ0/tqVLV/aI+vPL8xfQC/uC0Src/uT03WlmePW5HH1FK6mGNdbHv3D9d8cLTtvA/+PwBW6tKWYinZ8kDXvsWGbtolV4nfm+b7pg7Hr6REjzdId8rRcZ1dYms3Pa+VlbP+JNm75ok03XB99FfX2Y3p5jRd3tQQY6xJvOa0cz3me1GGuv9c4ve3vC795WTNgSjDqfnUDC/R0gHFEyIXnZsrVfdwnSBBPtOTcsoCVFRdTxO/L9NnnYvxtI8xW+jjQudVlJ/LO74P95bvOBOhrmud518o38M2LQ2glPqqUuqVbdaBENI/RGQawPsB7ARwHoBfEpHzMsneAOCAUuo5AN4D4F3xsecBeC2A8wFcCuCPYu8nkzwJIaRVOHYihOTR6qSOEEIcuQjAvUqp+5VSC4g0Jpdl0lwG4E/jz58B8DKJfh68DMAnlFJHlVIPALg3zs8kT0IIIYSQzsFJHSGkj2wFsEf790Pxttw0SqkhgKcAnFhyrEmehBBCCCGdo5eauqbpsvC6K3UrM1LUyQYLmdv7XieRv4kANs98u6qsvPMwWTdts+7bRLfQFfGtq7nsJJsJi8gVAK4AgDPOOMNr3mVBJkyF3blG9AyK0ntsnwl6XwLqe7VVBUDxFYDHJaBQXfPfvj+Tuoar92sb18Q2HkLod3Ob7/6u3xMmwd58l5XVo4YMRAPUPw9O6jK4RhDq4g0QitVyrrZRqMrSJcFRmhQ2T/h12gvgdO3fp8Xb8tI8JCIDAMchCphSdmxVnlBKXQfgOgDYsWOHyu5P6FL75wXXkK/fAiCKFJOt60tfFsWHOeG2NHDHgedGRtgX/cc3jratXRf9XZrVyhomhuDptsVjxg3Bl6fjhSJTWhMmxuJ5MXTiZFNavomBuG4SnqTTyxrEgU+U9sZb+1hSt3RbEjRl5rBa8Vc/n8UNaeXW74sOmFpMK5UEPpk/Zd1o25rPfxMAsPySF4y2JQFq9OAooYOgNNEnh3sfdg6M0rQR9qSTBHLyGdCmTvAcH2bReXn0+XoXtZ2Pa9EGttfHJBAP4D8oU1nb6WVVGabblhsaLr8khPSRmwBsF5FtIjKLKPDJDZk0NwB4ffz51QC+opRS8fbXisgaEdkGYDuAbxrmSQghhBDSOfhLHSGkdyilhiLyJgBfRGQ/cL1S6g4RuQrAbqXUDQA+DOBjInIvgCcQTdIQp/sUgDsBDAH8tlJqCQDy8mz63AghhBBCbJmYSV2eVkunjs6qjFAGzl1e2+zSXkXtX5bW9xp826U9JiarJuX6KNM1j9B9p6qNQpavlPoCgC9ktr1D+zwPILeCSqmrAVxtkmcZd998v7N+xDd1+k6ilzp6zhZf1SEN4Xrdy54Tvp8hfXkndkXL7Iui55MvbIymbfVQoQzpddocWyVtN3x0v1V6wI+pt2v7muab1aK5Lr312X9djd5dxqQhzt+k/F5O6pq4Efuyxr8rEz5fRuNl7V1nrXSd69iEOXnT5RblX2YqbmowO2kDoyYpC2ZhqgFIthsHL8oE1ABSjdjwmFQst/ZAJFKbnk/Fak+fMQMAWFyfHjs9H/3VTcBnUtnYiEQPp6Y04/DkjZSji5tajP9qZuFqerysRI83k3qqj3R4a/anGrmFWBun6+YGcd1nDo2f6+zj0c6FE9eOth09Pqrw9ML0aNuGbz8EAFh/ZONo2/KOC6J0Bw6Pti3dcXdUphZYxDXISN5xdQOjmORX5xnlM3hPkwbVfaWN83XVQzX5DnHVfwJh6tlmv+yiRk+nbHwSqhzTcY8r2clfXaipI4QQQgghhJAew0kdIYQQQgghhPSYXi6/9LkGNqvFcym/zjFd85bTNW9ZXaJNPqE9hprEt84tRP6uee9a/jR2nnvlim1zd11TO19STVu6WV9+YiQ8XbjPTPqpi09nVf+rq8sNqX3uIzu3vxUAMHfPu1dst126re9zWTrm6gVblDb0da2jZXOpW0g9ummcgCw+6pK0Y9KGod5/Idu/7vNY70tAfn/aueW3jXWWefRyUpeHPgEpa/jhvkdGFyuZ0A22nFI4gXHxp/DRQU0CivQJmzYJkdZVc9HGoKpu/wmlSyjTb5X9u2jbJGDrA9UkLi+lNXfvW/HvxW3poG3m6ehvoiMDgHWPR2K1Y7+v6ezOjHR2unfdcnyIrq07ekL0d3BEKzDJJl5DomvlRso3zcNu475o65ET042zzxRaB47qAQAb9i/F9UyPlaXo2ERLd/T4VCs3tRCd0ODQ4mhb4n8380D6ElabIi1dopkD0gmM7kOnT2oSvZpJPyqaDNlq6Ez0vD77dfZ5mudnV1Zuk1p6ABDJM0vsF8nzKZnQ+SbPwyuU9rcOXYxpoA/cTe4320AbpmPXUJ7Met/ITmZClOeaV5V+zjYAou2zU7+uddopgcsvCSGEEEIIIaTHcFJHCCGEEEIIIT2GkzpCCCGEEEII6TG90NTpBppNaXPqiC1D62vqmH+bpq9TVt38qq71isAeBw+NPpoEdgkhsi4TfjfRXm1jon9pKyjIJGGjPWn6eUnqEfqdoXsR5un32gxsVecZx3uinHtu/X6k09m4wfiYute3iQAYedvrjNNsDdF99yGfbQ4038d91x/wPzbzOSZpS/NrQi8mdbaYBmowje5okpfpccbiSce6uVI3OIkvc++uBZyoapeqF4NJnk09DIr6n0m0Sx09iM9w3yO16zUJtG1+7HIP6UE7sn136acuBABM/+3NozRTL3kBAGDD91P378ScXA+esuapKMjI4EgasOTglijgyLIWPGUQ+3CvezxNlwRXmRpGf3Xz8WHs+b08Mx7AIkmvf54+muY7vRB9nnk6TZjUeXBEK6SE2f2Rm7k8meOkriFPHsTcnmvHTN2zgUyS/fp1qGLX8qcr8/WJr6BNtvn5uDe6/F5pmuF9DxTuK2qnomtQ59q4BJ4rS9PkdTWNSGjbx9uekGXxfe8B+W3XdEA3m2N955tQFewm2W8SJbMILr8khBBCCCGEkB7DSR0hhBBCCCGE9JiJWH5ZtM65ar297ZraJnRBPspI/PfqLI3ztUbat6YMAAbbz66VZ17+fTdLd13CUXYuTfRxQiaRi6cuH/OTS5ZNhlwuaUKT919bWtrVqJ+zxfTatK0faut9kZRra7BuquPK259QZ/mdXo7rdWpiSajpdbX1jnPRXjbVx6va1bXP6fRiUpcYaCY0sVa+i2aVdfNoU99giklZw3vuc17fXNV3XEzfQ2rkfOsXvOjhNNH9YPvZRpq8NjQQk4zJ2v+qfbn9P56IDO7eh7k91+LSC94+2iexwbauAVu87EUAgDUHUq3a4rHRayUx8gaAdY8nOrtUvzY4FJl/H9qqCe1ihmsj3dzaJ5a0bVPxtjSPRF+nG45v2Btp/qYWtWM3RIbouvbvmLsORPXUNHKJcXjC2ofSz4e3bQIArNfkScvr1ow+f+mb7wCQtqturp3VwQH5kzuTwZTLpNDG3LwK3+9f38+4tichXWL788/A3G7zCUEb45M6ev46g9+y2At6H0pMtLs81jS9J03jTTRN6PG2z2tXp61N0Y3bbeHyS0IIIYQQQgjpMZzUEUIIIYQQQkiP6cXyS92nzoSqtD5/iq2jy9MpOrZpnzjbtqlKn+j7ADubBh/XqG7bZddgt7F0cIUnH8btB7icsRvo1yFZwpgNVZ+3hCfbJ/P8xKrK8+nnk9WBEXPK/Cr1ds1eu7J72FiD04DNQd0+50O/bPqetM27C0vQmsC0nbKaLh9lmfiEteUTZ4uLHtGkzkXtrp+3T1/HXcufrq3fI+6EGL/1YlJXB1ehqkleVel8+2SYomulmnr4ZYOXzN11zYoJXaj6+NZjJBNPW685l7J8Y1JG1cTapM8O77nPuE5ZVvSTu52zWZX4/nLBJL88vZlsuWC0bd3ew2PHJFq2hU2pVm7jA4cApL52ADB4JtK+HfPguPZtaiHSzR3ZPDPat+bJaJuu38vmpZcxOJDWTb4edbbZHWndF04+Jirr+PVaulsAANPnnwNgpWZuw7cjgZ2Jr1x28JXo69r+Eqat52/T5932oH+SGGw+udWBftlzKlS9TPV2ZcfW1XYm51YnboArTYxvfMR0CKERDDEnCFV+Hlx+SQghhBBCCCE9hpM6QgghhBBCCOkxnNQRQgghhBBCSI+ZKE1d23oFUo5PkbNNsIEQ5ZfVR6cNbYeNIacP0/WuiNe7TsjnU55WuEt9crXR93dR3QBgNsEjXI71XafVTratyvzfutCuJn3Id0CRpgkV0M93XqHbpqpvZnWVeuCXNrSgNuMvkzz0fEzo3aSubpTILgXq8HG8bZ5V5bkKZHNFzFpQDp9iX5u8+m56bWLs7ZPQwYD08xF5l9WxfaEqKEZZG4eIWlhFmZnqiqAge82idb78J64GAMw+uQATZmJTcwAYPncrAC2IihYAZeHEtQCANXfvG207EqfXmd3/TJSXFgBl+acujP7OpotTZh+fBwBM73t8tE1lAqRMHTlqdA6AWQQ/W2G/6f3YRL/xEZSqS8/h1TjJMzVrr2N+XFZW1f5JuiYu52ISHMX3dWli4tP2dS3raz4ivbrUJVT0XS6/JIQQQgghhJAew0kdIYQQQgghhPSY3i2/rEuVmXMZLmaZRcfblJW3vc2fs02WurrWs6w9m1i649t8vW+4msWvVu6++f5geoU6uhBTQ+uy/LKG1lVcesHbow/askeyEl86H9Nno09jZB9aEV+4LF3qwruzbVz6n6shuKnOzbceLq9sX2l94rr8LkR71cHm+ocwOg9xX5e1p805+BpP2uTTi0ndOReehV27/WrBmqBIq+JTt9YVynQ52f2+yzPJ34c5Zogy6uKiS3Ct56RrIOpi21+axiSg0EhnYDihSwzJ89DNv3UT74Q8vVqic0sMxIcbpkf7EvPvpS0njrbNfPGmKK9YCwekhun6y003UTfRnyXttIRmjHi7RigzYR+aQtP3S9U7iUTU6d9NtqtpP/GlVWoqLkMTZfjMr+nrb/vlvu1E0bem0HS8bjpOs21jLr8khBBCCCGEkB7DSR0hhBBCCCGE9JheLL8sw0ZnEHLNbd1j69bN9Fzzyh5sOWXFv+f2vjdYuNVQ16Qq3zytWJP6sVDtmZe/aRk+1vTrfSfbhl3w+mmTyj4ZL3FcYRtgmWed+pSlGWw91SiPaW3ZY19ItH9Ld9wNYOW5ll2LOu8aU41jcmzo50UX6Mo5TvJzStf8+non+ND92NKGHrJu/7TRudZp9zp1CjFO6KJGsW48jJD4vp96P6mzpY7vVx1tm+2xXdYvZSeBWUKsY2+KSdXPGPtdMTiKFSZ6X1tctEk+gzQBqddeVR7JxEif3CVaOl1Hl+jnZnN0dLpGbpRH7E+35u7Hx/at0OLF5eqauQR58uBIP5fUvQuTUJ+a1jp5+njWTdrzb9IJ0Q5lWl2T51TbekhT3WaocuuMJ4v+3RRtxBlo4nqV1Xv46P7CfUV52HjhmQS+EZHC47n8khBCCCGEEEJ6DCd1hBBCCCGEENJjOKkjhBBCCCGEkB4zUZo6H8LHOt4SvsuvayrpeqweQKTr+FpL3UXRbAhT0bpmmNSmrKTIfNxE7F4UjKRJaMhcjyqRu+n7wmS7D7L+gyaefV2HfXjysAkslOBjbFaUd6KJmtv3/lpBkUzTuQS+8xko0OUcTNp1sPnk3O1V+sIifZqpvs0Ul3Ggifl69rxD0vtJXVlnaOohb2Lqq6cNVQfbdEmdh/seSU2H4wndYMsphUEz2gqmUUeUm1fnZFsbBppdyb9ugAWa+hZT1bZ5wUhs86hTF9trV5bH0h13l0YVy0acBNJJrdK2JceM8siZ+OYFRaliNIHOCZ6SjXjZhulwnaAJqw0+f8LhEqSpCWzK9P3MtAly4VoXk3Q+JgZNXLuqICOhnnW2gaR8jJlMz0E/75B1A7j8khBCCCGEEEJ6DSd1hBBCCCGEENJjer/8sgyXtdeueZqktV17baK5GGw/GwAwvOe+0rJcKFvvPGakrOnwhvseieqWY2peVUbR/qJyTfHZF0z6gM/2d0kbSnt38dTlhT6FVevRuVSqHj50n1lNlW16Ww1WsuyyS7j2Q1+629D3QV2z4KycILSOHFjZz3zp/KgHdsdUK2ozhjExhK7Kx7durixd3rLLOpp0E5lOCIPxtuhKPaowGWe7PEdN9pvETbBtx4mZ1IXSntQx1axTBx8vSxe9TmidmT4hSCZ/dZi0F3VobU0dDV1enRLtZZWmtS8PeFsS83HTyVLX+6uP+o20cps2jrYlOrjB1lNHg/akzfRt2Tx0vVtiHJ6ny8vq4rJkdXQJNnroPIrujaL3Q1U6PXhOiCAmXQqMMtIsWX7RkJeHj3pMIsnzqS4m90ndwagrNnUzTVcVjMNEv1X3y9/svrl977c63mS/CYOztwXJ31VLprdDiD7mEiOjap7Q5PiHyy8JIYQQQgghpMdwUkcIIYQQQgghPabx5ZcicjqAjwLYDEABuE4pZbQmxLeXWKIDyy4DrJt3kc9bXT+dLi1hy9alSGfliqlXXgjdpA9MvEvy9tvkXZWHzVrtEO3Vpf7aBnXa37TtdM3ajbdfbVvFQka+QjmWAoVeTobL6MryrrMUr6ysUFS1RYjlji7PEJ/3uu9rlIfpvZG3XHVSnzt1xk51MWnT0O8TwI/OLe9Yn/UN1f98tK/J8nMTPWLb4ytb9H6Tt4zVlS4+a9rQ1A0B/Ful1LdE5BgAN4vILqXUnb4L8qHpqdN5da83Wx8903L1ACm+dX1F2/LORfe6K0MPltLkDeGjrcvS5wWKqYOPOvkuv24bZtOIiH3FOkpTWqW611mvp8n9Z+KlB6wcXCf6tgFWTtrm9lxrdc9n2zRvUFP2pU7T3qE+NGJtaN7q+CTl6SFtCXnOfRt8VtD62MlUK2pbhknaZGA+2HzyaGBuO9ExHRNmdXSh4hrUTd9kHnXHayHuxVDnWif2QJmvYZ7XoIsusmzs1PjyS6XUPqXUt+LPzwD4LoCtTdeDEEIIIaQPcOxECKmiVU2diJwJ4EcAfKPNehBCCCGE9AGOnQghebQ2qRORjQD+J4B/pZR6Omf/FSKyW0R2P/bYY81XkBDSSUTkBBHZJSL3xH+PL0j3+jjNPSLyem37hSJyu4jcKyL/XeK1DCLyThHZKyK3xP/9dFPnRAghJnDsRAgpohWfOhGZQfRQ+nOl1Gfz0iilrgNwHQDs2LFDFeUVQpyb6KPyzLKL0pqmz6Ntk9Qi/7EE0/Py0RZG5Zx7pfUxNkEpyvQ4tsLiojKKcGnDromXG9BKXgngb5RS14jIlfG//72eQEROAPC7AHYgCipws4jcoJQ6AOADAP4Fom+5vwDgUgBz8aHvUUr9oWlF7rljb67Bts+gJabY6nZd8u1KH6vCpg/a+m9V5aPrC13bLmSbh+onefnnaa7aCBTWxz6ch+3Y6Vg5QenvB99Gx77SV2nzLp66PFeP1BRl52kSWKQona2Zu0m+bQePq9snTM7H5FzKtG0mx7jqNnV8m8kb6dtrl2hJ/K34hwF8Vyn1X22O9W10mDdoNo26WEZeviFvqLZfUruWP+3UbmX1Np3QDLafjbm7rrEu2zc2k9i618uXgXvb/aYGlwH4yfjznwL4KjKTOgCvALBLKfUEAIjILgCXishXARyrlPqHePtHAbwK6aTOG3WMYU1f8snk0XeggrLyq84rOSYvyErVsbZBM2wE/XX7u2nwqOS8Q02eXPqVTxPcJoK5GAcKc+hjfaXO2KkudQJH+GL46P7GrrU+gcwzHy/D9Nnp+syucw/XCQrShT7QNXLnFTmTwaK0IWhj+eU/BvCrAF7KZU6EEAc2K6X2xZ8fQRTiO8tWAHu0fz8Ub9saf85uT3iTiNwmIteXLOscLW9aWDrsfBKEEGIBx06EkFIa/6VOKfV1AJMTy5wQ4h0R+TKAPPPDFWsdlVJKRAqXZ1vyAQC/j2i55u8D+C8Afj2bSF/edNy6Lb7KJoSQQjh2IoRU0YqmritUacmyaUx1Zj7X7/vSJ9l4PIXAVaNm8hO263r3IlzaxWXJV990HnU9wWzaVSn18qJ9IvKoiGxRSu0TkS0A8tbH7EW6RBMATkO0THNv/Fnfvjcu81GtjD8G8HnjCtegbU1tHmXXqk596xiyu6QLTRvms13sL23jy5C9i2bCXWGkGTXQtoXUedc10G6LUG1imq9JOt962Ox1qbOs1Rd13x2+338r5hha+7iapPd+UpedhNXF1EQ7wUdAEGsTTg+6vyrK2sFUnxgKXUPnw2DY1GjVJC+X8nVM2tG0rdt8sdVd+1/BDQBeD+Ca+O/nctJ8EcB/0pZQXgLgbUqpJ0TkaRF5MaJAKa8D8F4ASCaKcfqfA/CdqopsP38rbtwdLihKSL1D3zAdeNu2hR7YBPCnGfOtAfdBE/3El5mvzzxWw/2RxzkXnoVdu9Nzr6PzzUM3Ak+o8yVrk9epVNPvOKCuW76PLxdsv/j2jcs5mI7P6jC37/2Vdcq77m0/O6zvyUD1IISQUFwD4FMi8gYA3wPwiwAgIjsAvFEp9Rvx5O33AdwUH3NVEjQFwG8B+AiAdYgCpCRBUt4tIi9AtPzyQQC/Gf5UCCGEEELqw0kdIaRXKKUeB/CynO27AfyG9u/rAVxfkO65Odt/1W9NCSGEEEKaoVeTuqZ0FCF+qvbl4Xbx1OXel5z6oGhJqC/vPld0T7us9UFXdDk6TesxTdfhhyh7NRHyujapKSm6rjtPf0tp+uwSR5M8XdNVHduGzrmvzxpf/cr2/EP42plqiSaR0P2vyBPMZKm0fmyRzsr22u3c8ttOeZnQVf1eE8+YIl1eW21ic855/SSk9rMtejWpy8O3T1fZQ8hWbxcKl3p0eS27Dz8vndFAcvvZ1nVznTC7+M90oS+5UnYNXYxRVzNd7AdVz8ayOg+2noq5PdfmB6KK99mW7ZLGlLoauqavXxf7S9vU0TkXDUgjWziSYKqVSnR2oZ71Ve8aF9PpEITSgLpo5nzUxfZ6hvrC2BRdH9fGuMNUW+z7ed6GTx0hhBBCCCGEEE9wUkcIIYQQQgghPYaTOkIIIYQQQgjpMb3X1OnkrZsNrT9owjMuj+xa8iqhqo9ALS55mJoYm1ynpPysjjKwJ9qIMrP6OtpO39i0hanwmUwGXRX5u1LUT20Mdrss8q8TFMenSa4LXXuGTGJQhDrYGk137XpmMTVHLxsnujxPbOqWl2/VfeoSACXRFdbx22vyenflmZyHj4BSptfQR//r1aQulFljVRm2DLacMjbpadKcuw3yzs+3gabt8S7iYV/XybX+vh9eI/F4zoQ8VEAXU5H3agpEEPql1PZANS/YiGnwoL4ZrNcJytElmm73NgPK+Oh/fSb0OZqaNuddhzoTj7zx3/DR/caD7zpldgm9TnUCxbhObn0GKnLJwyWda7ldvP46XH5JCCGEEEIIIT2GkzpCCCGEEEII6TG9Wn5ZB9v143n4MhDvIqP16JpPW6hzNPnZO4SRZp+NM0NT1rdNdRZdade20Y24TTzQQnoM1aWobib6ZZdju3JPhKqH6ZKfIjP3uvn6xsX8t43nq0261fKcqsK1T9XRBeXq1jWNnM1STZ/3hMnYoW/9xqV9XO/huibhNvm6XBPf19H3s86mTSZmUtfWDaUHyAhRhxVrpUsG3lVl5wXysF3TbDvJy6t7XpATU8rKb/P69+1hnsXVcJ20QyhTW9Pj62gRfE8+fNx7Xb5/88zaberbprbXVNMWqvwm8uwzTcQoMCmz6Xx9G3vXparutm1WR6NYVm7TXxx15X41qUfVs85W+1enrbn8khBCCCGEEEJ6DCd1hBBCCCGEENJjOKkjhBBCCCGEkB7TC03d3TffH1zM7FMo2YZ41qV9TNbt6jq+IoNt38acrsE4uhJYQaftdel5dKEOxB0GdvDHztPfguHeh1dss/W48uGJZWtw61P7lA3KMrfnWm8BCFxhACY/JGOnvGAjvt4DpkEhfASPMMmj6ry6MmbIo0t1CzXusj22jkatbtAU22Oz6J6BvrSOVfRiUucDH6LgvEAdTd54daJRmopxQw34uxAttK5xZtsPWVPy6llkOB6yTfrSXr7JThKq6HI7lT03gfrPi6bOPa+csgiTIetl8kWPSdTUqny7RBt1m7TneptkgxyVjRd8BRvx8YVoiDxM9+Wl69IXqrYT4zrnYNtf6mBazySdPvEaPrrfW/k+TOB1TNudyy8JIYQQQgghpMdwUkcIIYQQQgghPWYil1/mLRPYee6Vo21zd11jfLyeh2/qrC02+Ym57k/9F09dbuxhpmvvgGi5X147mmj0ukBba9u7rMcs0xTl5VHHhHa14nr9J1FnlNXP+NB56ekHW0+1Sm+Tpg/tn9TbpB18lQWE1cO7lDGJ904Zr9jxziD5tvnu0jWDXaTOWMzHOLEuLnrIrt9XXe47dZaE9mJSd86FZ2HX7mY0Dj7WPHet85aRrWsyiUsmXLq5dsiHdjY/23XRbdMX/Ubb5a8GQrdxl66hrd6kbW2vznDvw9ZtWfZlRV5an7i0pwl57dD286xLfbzPZMdO+oRucPa26MPBQyuOKQro4CMuQRU+rvtg88lW59A0fdChl42J69Sx7vnZPKdMyxo+uj/IGNeHPi9LUicRKUzD5ZeEEEIIIYQQ0mM4qSOEEEIIIYSQHtOL5Ze6T52Pn6fr/sRqoh8DMKZHK0qn1ylPw5ZnB3DpC95RWkfT5RAmurm8vJI2UCcdDwAo/jF4/JiyMkw0fEX5FIXt18uwuSZj5Sa6TG25SrJMtajeeXXK9rmydnGhqn2q8HmvrUZMny96SH2XEPYmdXDxAXK57iaayjY0oq7Lw8rsDprAR9/oi6a1rJ/U6UNd1/Q0yUijs/Uko7TZpWP6/ZzVIIXw38qGg3cpw8X/tg/3TB1P4tGS25i5e95dmLeptt5n21SVb+tTODbWcrAZMJEAmbRJmUa86ljTugA9mdTZkuvTFQdH6YtGK49k4pBMpPL2AfkBSPT9VZOfwvK3nx19yKzBL6rT9PN+ePRZHjswVresfi+3zC2nePHn65I/TNcw1ZSWtWXepLbL91JXYZtFmOrHXNrLt66jLm1dcxc9YVNlmebVJbPmPnD0pPWjz4tnbgQATA3VaNvGbzzolK+pVtY3fXm/N3nvTNp9EOoa52kvm3hOmaDXy/ZYLr8khBBCCCGEkB7DSR0hhBBCCCGE9BhO6gghhBBCCCGkx0yMpi7P1HqkAQNydWBAGvwi0dwlAUiWbvsuAGDxFS8cpR0cWgQAzGTyeNlL/1+j2bFpuiw//nN/CADY6HBsHj91ybsAhL34P3XJu7DGY14AMD0/BDDe/gm6wXzCJS++qjTvqoAzRfmakrceOrutKMjKzq1vHtMb1l3zbSvO9RmowCUPklInAEhXtEdVfaJtI29XQ+5sYBXfgW+KCN0n2jqvECTn0udzsOWeO/fi0uf9R6NAZnXoe1AaG91SnUAlpultji0LwFFV1qQHRWvivdc1PWcvJnU+zcdXTPQcOfyjZ6T5HYomGvOXvWi0TZYj4fHCMsbSHf2Zi0bb5jdNAwBmD6YJh+uiad/00SgPXcR8aEdU7vIgfUQPz39xnC4ta+ZwlO7wSdOjbWsPLMf1WBptS+pyVDu3pdmo/HWPRhON+ZPSqZmaisrdsEcTWx+7Ji4/PYflQZTH0ZM3pNtOPyaq21PpBGYhTrf0vNNH2wb3PxGVtW52LI88RtE3jyykecTXeOn49WPpdTP1vAldNniL3l+G99w3ti0vAE2C6c2u1ymhTkRM10A4gNmDLzcQUY1gNpOGsenp3oeDlNvGSyaUMbYLPuri+9rYEmLi0ceBW50AHPq+smimfWwXW/b+0nMAAEe0wJUSDwXWPZpuU9NRdMRj/q44L92suSu43PNFz8uunVsWPfqoqcF12WSwKp2N4bdLurrH2FA3UqtJBFWT46rS56Uzfa9z+SUhhBBCCCGE9BhO6gghhBBCCCGkx/Ri+WViPp7nayYXXQAAmM490pzz/uN7AABnVKQj/eflP3E1AP+dv86yN9Of8X2sn88jWe6p31s0+q0meTYB/Ttnk/5qksaHHrNruoQyVmtfT6hr6myynCgvfbKEsmhprOt1WO3X0wSX+7Otdq2jM61TXh2tnE6TZt4mx+m4Putdngld1H7bXOu8NsnbljVEr7tEtBeTOhMWzk2F7QsXPRsAMH98+kPk4vpID6a03yaX44gbS+vSbQ++KtJoqV/4sWjf2lTTJksz8XHpNqhp/c8KZElLFmvVpubTCizPRvlMz6cHJ/VL/k4vaOmnk21aIWpFNaIyFuOytHQHT4sSzDyTJlyOr/7MYS27WK539NioUUQ71RGnpzq3IydGZc0+k2rqZg5HBw3Xpto/iXcvrl872jaYX47Tpecoz47af/GYqJ7r96aVmz4Qfdav9XBDdBJrHjsyVs2F49Oy5OU7ojzmU/FhosPTTdIVgBtvuWo0yUm0fUm6G29ZGXil7GVRFABFZ27ve3PzyJtcWZvFFxjS2+j3umI4PIn4MJX1ZdLd1LUy1XYUpQ2Na5ltBd+YPv+csW0+NS9NnVdwLc0qCo6is3DcAN9/5YlYeEEUKO7YjfOjfU8+GWnOjyAdAB2zN/pbpNUquk6+r1/ewLYr7xMXU2mf71G9bbITAj19Vd260p6mhNTyudJWWSLFoY+4/JIQQgghhBBCegwndYQQQgghhBDSYyZm+SUhvtD1m3n7AH8/u9exLshiq8szTVe2Pr4qj9VEWYjosjY3XX4YUm/gM+829HEumo6iY4vS1cG2fUMtndJD++vatC771Ll6B5bllcBnlx98t2uZzij0NSx6jvt+v5bhorPqwnM3dBmuWr289Hn7fdTRJt+Lpy5fYVFhkncVvZjULR+/AYcufvFIv3X4lLNG+xZOiHRZamOqlZrdGOmr1q1NRWVrBpHAbWY6FbpNT0XHTkuqB1OxqExiMVnybwA4uhQ115QmNFtcirRfC0uaVm05Oma4lP4QurQcfVbLaX5LR6P8hrpEL0m3KPFx2trZYZxvugUSb5ta1PKNpWT6tkRft3CcdmzcFEPNCm7m6XjbuuhYXb+XpNe1gqM81qVlJb57ia9dlE90krrH3uL66FzXP5oWMvNEdO2m52P/O00Dt7g58rqb3ftUmm+OF93ybOz/dyDVDyR6PF0jlxjSi2ZMn2jPRhq0jPl3FhuN0Nze9+ZO4gZbThnzefPhtZXnHZdXN9N0ZazWwVHiodmnQB8JJtqLutfV1fewy3SpvjfefnXjZTbhP5XXN4d7Hy4MNlCHLl1P72xYwvSLn8QbnnMTAODgMNWZf0l+CADw5PdTTd3Smvi9/9xzV2Rz421/ELqm3rB9d9Z5dvvQytUpP5ns+X7/+L4n8iYuXfI2zeKjHlXnl1wz376PXH5JCCGEEEIIIT2GkzpCCCGEEEII6TGc1BFCCCGEEEJIj+mFpo6QrmMS8MQkAAvg5oNjUnZTlAWe6KP2rIvUCbyRNXPOQ99XFhyjbgAQV0PcquN8BTTqS2CNOibxfcfkWvO54486QSFs0vs6Vj9ez8OmT2TTNhk0JRRdrlsZPu9ll37V9XdCLyZ1i8cpPPxPh3j5ed8FALzwmAdG+zZNRwEwZiQNqLEU/wA5n7iLAzi8vGbFXwB4KnYdP7yUBs84En8+GP99ciENxJEEQzm0mKZfjgOpqGEaKGUx/pwERwGApWH0eemo5hKeHLuYpkvMyZMgJ3pQkqk4KMp0Gv9jxec0XZK/ti0JcjIcS46pxfTzzJHYODwWTA+OppnMHIoCoKx97Oho2+JxUVtMHU2DzSQc/38fH9t2+JwTR5/X3x3tTwKgAIA8diD6e1scoEQzBh88fXTM/HtkEn7S8en5zA9LTcJNoiQVTdLygopkSQKfVJmKJ+XWfUj5MLG2SdO1h1gXqGPubWuq6nuAOth6qteohm2bhpdFIa06NhQ+7tGySbgpttfZpV/4NAk2DTZA8tm67kn8wXM/hxeuiczE/+yp54/2PXUoGv/MpnHHsPbxaICw9J27apft6zpljdBD369VERZNI9PWMSY3iXZZlUfTlNXB9nxM883b34W2MKHOc5Lm44QQQgghhBAyoXBSRwghhBBCCCE9phfLLwlxoWj5w85zr2y4Jt1iZOar6fuyy0onQTPQBHfffL/Vcr8m1uOb6uHyKDN6rrOEyvbYtk1tq46ZhL5ua+rrq6w8ypashVp2rOc5CdczJLbtlJhn5y27M7nGZYbMps/QvizNtX0nuLxDqu7nqiWmLnrpLCZLV/XrbrNks+s6twTTerqYzye0MqkTkUsBXAtgGsCHlFLXlKW/4Ngf4JuXfBgHliP93EPDdD3pg8NIo/XgwrNG2/YejfRVjx49drTtB/ORw/YT86lG7tDRSA82v5Bq7xaPRE2iFmPt24Kmdzsa69wW0vIHR+JtmlYt8TKf0bRqa+LPmm/5SA+XGHMDqb5t7ZORCG5hY1r+useincMNqS5vej42UD+aiu+WB1PxvrRSKt6mG3cP77kPWZKBfqL9mtY0bYnebfHsdDIw+9ffHMtjRCYoSHbikOjWZg4eGu3Ldvql275bnL+GPHagUu+2a/nTKyZ0g+1nY+6u/K5nop2rSu9DW+Lr4RRyYGRSrk9E5AQAnwRwJoAHAfyiUupATrrXA/iP8T//QCn1p/H2qwG8DsDxSqmNWvo1AD4K4EIAjwN4jVLqQe8nUBNf5s9lE77E6DlEfXwY9obKvyyvtgeJw70PF+7r6iCmCXwYm/cF27HTpqll/Mz6w/jrw9H46M/ue+Fo3+Db0aNv8+6jK475yq6VX3qaDET1bdkBqQtZHZ0PXN+zrpqtrt+Tfb4PXAllKt4lGl9+KSLTAN4PYCeA8wD8koic13Q9CCG95UoAf6OU2g7gb+J/ryCe+P0ugBcBuAjA74pIEk3nr+JtWd4A4IBS6jkA3gPgXQHqTggh1nDsRAipog1N3UUA7lVK3a+UWgDwCQCXtVAPQkg/uQzAn8af/xTAq3LSvALALqXUE/GveLsAXAoASql/UErtq8j3MwBeJmVhpgghpDk4diKElNLGpG4rgD3avx+KtxFCiAmbtUnZIwA256Rxec6MjlFKDQE8BeDE0iMIIaQZOHYihJTS2UApInIFgCvifx6d3nLPd/JTPtRUlZ4F4AdNFdZaHbKyjVtzyi+WdpTmJfK+wqRl+1amk8I2qMoj70cXEacVdpPRF7TrU35tCn+sWlGH/PYt/aHr2SVlfhlAnlP72/V/KKWUiK5UDU/22fRl9ZmxZ5PpD3w1fwis7AMi/90584q6jcq2PYc65xwf6/3+M6yT8zl7oPJeq0NZfmXP3AbKf5aIVPTx+v2vII9zrTLuCOVjp9vH0mdV6yJvK8vbsi5/BBg9p9yflwbHPgvADyr6uFH5NTC+hwI+TyvboSg/H+1j9OzWbHzjvmOab+U2jTafZyvqYN7vx9qicOzUxqRuL4DTtX+fFm9bgVLqOgDXAYCI7FZK7WimevmwDu2XzzqsnjoopV5eUu6jIrJFKbVPRLYAyFPV7wXwk9q/TwPw1Ypik2fTQyIyAHAcooAp2bp14tnEsldHuSy7vbLbKLcEjp16WD7rwDo0WYc2ll/eBGC7iGwTkVkArwVwQwv1IIT0kxsAvD7+/HoAn8tJ80UAl4jI8XGAlEvibab5vhrAV5RSjf4KSAghBXDsRAgppfFJXaxVeROiAdZ3AXxKKXVH0/UghPSWawBcLCL3AHh5/G+IyA4R+RAAKKWeAPD7iAZCNwG4Kt4GEXm3iDwEYL2IPCQi74zz/TCAE0XkXgD/BjlRNQkhpA04diKEVNGKpk4p9QUAX7A45LpQdbGAdWi/fIB1SFi1dVBKPQ7gZTnbdwP4De3f1wO4PifdWwG8NWf7PABb0542rwPLXh3lsuzVV3YuHDv1snyAdUhgHSKC1UG4uogQQgghhBBC+ksbmjpCCCGEEEIIIZ7o9KRORC4VkbtE5F4RaVzfIiKni8jfisidInKHiLyl6TpodZkWkW+LyOdbKn+TiHxGRP6viHxXRP5RC3X41/F1+I6IfFxE1jZQ5vUisl9EvqNtO0FEdonIPfHf41uow3+Or8VtIvKXIrKp6Tpo+/6tiKg49PlEYHqNReT1cZp7ROT12varRWSPiBzMpF8jIp+Mn2nfEJEzA5R9oYjcHpfx3yWOmywi7xSRvSJyS/zfT8fbS5+zZXUWkbfF2+8SkVdo242e3YHKfjA+/1ukJIKha9kicmL8XjgoGS+QorZvqOyvxnkm1/dkj+VeLCI3x+d2s4i8tMFzLiu78pxrln2RlvetIvJzpnm2Sdt1E46d9PI5dkq3NTZ2Kih/8sdNSqlO/gdgGsB9AM4CMIvIMe28huuwBcCPxp+PAXB303XQ6vJvAPwFgM+3VP6fAviN+PMsgE0Nl78VwAMA1sX//hSAf95AuT8B4EcBfEfb9m4AV8afrwTwrhbqcAmAQfz5XW3UId5+OiLh/vcAPKvJPhH4fCuvMYATANwf/z0+/nx8vO/F8fPjYOaY3wLwwfjzawF8MkDZ34zLFwBzAHbG298J4N9l8ql8zhbVGcB5cfo1ALbF+UybPrtDlB3ve7CqL9YsewOAlwB4I4D3ZY7JbfuGyv4qgB2BzvlHAJwaf34ugL0NnnNZ2aXn7KHs9Uifs4l9ysAkz7b+60LdwLGTXj7HTum2xsZOBeVP/Lipy7/UXQTgXqXU/UqpBQCfAHBZkxVQSu1TSn0r/vwMoohTW5usAwCIyGkA/imADzVddlz+cYg654cBQCm1oJR6soWqDACsk8hDbD3GrdK9o5T6GoAnMpsvQ/SgRvz3VU3XQSn1JRVFQwOAf0DkWdRoHWLegyjoyKSJc02u8SsA7FJKPaGUOgBgF4BLAUAp9Q9KqX0V+X4GwMtyftlwLlsi375j4/IVgI8WHJ9g8pwtqvNlAD6hlDqqlHoAwL1xfqbP7hBlm+JctlLqkFLq6wDm9cQWbe+97AbO+dtKqeR5ewei5/Cahs45t+yGzvuw9pxdi/Q51/r4pITW68ax06h8jp1W0tjYabWOm7o8qdsKYI/274fQwkMhIV6O8SMAvtFC8f8NUQdYbqFsIPom/DEAfxIvY/iQiGxosgJKqb0A/hDA9wHsA/CUUupLTdZBY7M2YH8EwOaW6pHw64i+IW8UEbkM0bfmtzZddgOYXGOXZ9TomPjl8hSAEz2WvTX+XFSnN8VLT66Pl76YnENRncvqYNIuIcoGohfll+KlelfklFu37CKq2j5k2Ql/Ei8V/J2cLwt8lfsLAL6llDqK5s9ZLzuh7Jxrly0iLxKROwDcDuCN8f5OjU8ydKpuHDtx7KTRpbHTRI6bujyp6wwishHA/wTwr5RSTzdc9isB7FdK3dxkuRkGiH5C/oBS6kcAHELDHl7xAPQyRA/JUwFsEJFfabIOecTfTrf2K5WIvB3AEMCfN1zuegD/AcA7mizXJyLy5VhjkP1vxbfaIa5xUjaibwr/d0NlfwDA2QBegOjl/l885ds1XqKU+lEAOwH8toj8RNsVaohfVkpdAODH4/9+1XcBInI+omVLv+k7b8eyg5+zUuobSqnzAbwQwNua0CNNChw7cexURJtjp0keN3V5UrcX0brThNPibY0iIjOIHkp/rpT6bNPlA/jHAH5WRB5EtIzipSLyZw3X4SEADymlkm/aPoPoQdUkLwfwgFLqMaXUIoDPAvixhuuQ8Gi87ChZcrW/jUqIyD8H8EpEA5umH45nI3pJ3Br3zdMAfEtETmm4Hs4opV6ulHpuzn+fg9k1dnlG7QVwulLq5YgmV88g0pr4KnsvVi4pGdVJKfWoUmpJKbUM4I8RLdMyOYdRmnj5znEAHq+og0m7hCg7+WYaSqn9AP4S+csy65RdRGHbN1C2ft7PINIQZc+7VrnxUra/BPA6pdR9Wvrg51xQtsk51y5bK+u7AA4i1vUZ5NkWnagbx04AOHbK0vrYadLHTV2e1N0EYLuIbBORWUTi5RuarEC8lOPDAL6rlPqvTZadoJR6m1LqNKXUmYja4CtKqUa/ZVFKPQJgj4icG296GYA7m6wDoqUDLxaR9fF1eRmidfptcAOA18efXw/gc01XQEQuRbSs5GeVUoebLl8pdbtS6mSl1Jlx33wIkTD+kabrEgiTa/xFAJeIyPHxt6GXxNtM8301ovs5+2JxLjte2vK0iLw4vk9elxyfvExjfg7Ad2D2nC2q8w0AXhtrq7YB2I4oaIbps9t72SKyQUSOic93Q9wuY5HHapadS1nbhy5bRAYSR1GLB9OvxPh5O5crUZS4v0YU5OD/NHnORWUbnnPdsrfFkzyIyLMB/BCiQDytj09KaL1uHDuN6sCx00paHTutinGTChwBp85/AH4aUdSk+wC8vYXyX4Lo5+HbANwS//fTLbbHT6K9CE4vALA7bov/hTjSXsN1+D0A/xfRi/tjANY0UObHES1VW4xvwDcg0lr8DYB7AHwZwAkt1OFeRLqJpF9+sOk6ZPY/iMmKfpl7jQHsAPAhLd2vx9fiXgC/pm1/d9xOy/Hfd8bb1wL4dJz+mwDOClD2jvgeuQ/A+wBIvP1jiHRBtyF6uW6Jt489ZwFchejFV1pnAG+Pj7sLWtTDvDwL2tlr2Ygi/t0a/3dHwLIfRCSAPxhf3/PK2j502YiiYt4cX9s7AFyLOBqoj3IB/EdES8du0f47uYlzLirb9Jxrlv2rcd63APgWgFfZ9vGWnl8cO62sz0+CY6dVNXYqKH/ix03Jy54QQgghhBBCSA/p8vJLQgghhBBCCCEVcFJHCCGEEEIIIT2GkzpCCCGEEEII6TGc1BFCCCGEEEJIj+GkjhBCCCGEEEJ6DCd1xBgR+VsReUVm278SkQ9Y5HGViLy8Is1XRWRHzvZ/LiLvsyjrxLjOB22OI4T0Cz6bCCFdpYfPp4tF5GYRuT3++1LTY0m7DNquAOkVH0dk4qkbLL8WkZljJSIyrZR6R4iKFTAP4HcAPDf+jxAymfDZRAjpKn17Pv0AwM8opR4WkeciqvfWBssnjvCXOmLDZwD8UxGZBQARORPAqQD+t4h8QER2i8gdIvJ7yQEi8qCIvEtEvgXgchH5iIi8Ot73DhG5SUS+IyLXiYhoZf2qiNwS77soWxEROUlE/md8/E0i8o+zaZRSh5RSX0c0gCKETC58NhFCukrfnk/fVko9HP/zDgDrRGSNr8Yg4eCkjhijlHoCwDcB7Iw3vRbAp1TkYP92pdQOAM8D8E9E5HnaoY8rpX5UKfWJTJbvU0q9UCn1XADrALxS27deKfUCAL8F4Pqc6lwL4D1KqRcC+AUAH6p5eoSQnsJnEyGkq/T8+fQLAL6llDpaeaKkdbj8ktiSLCP4XPz3DfH2XxSRKxD1qS0AzgNwW7zvkwV5/ZSIvBXAegAnIPpG6K+0cqCU+pqIHCsimzLHvhzAedoXVMeKyEal1MEa50YI6S98NhFCukrvnk8icj6AdwG4xOI8SYtwUkds+RyA94jIjyL6RuhmEdkG4N8BeKFS6oCIfATAWu2YQ9lMRGQtgD8CsEMptUdE3pk5RmUOyf57CsCLlVJcvkQIAfhsIoR0l149n0TkNAB/CeB1Sqn7Ks+OdAIuvyRWxN/m/C2in/U/Hm8+FtHD5ykR2Yx0iUEZyUPoByKyEcCrM/tfAwAi8hIATymlnsrs/xKANyf/EJEXWJwGIWTC4LOJENJV+vR8in/d+2sAVyql/o9BnUhH4C91xIWPI/oG57UAoJS6VUS+DeD/AtgDoPIhoJR6UkT+GMB3ADwC4KZMkvk4zxkAv56Txb8E8H4RuQ1RP/4agDdmE4nIg4genLMi8ioAlyil7jQ4R0JI/+CziRDSVfryfHoTgOcAeIeIJFE3L1FK7a8+RdImEuk0CSGEEEIIIYT0ES6/JIQQQgghhJAew0kdIYQQQgghhPQYTuoIIYQQQgghpMdwUkcIIYQQQgghPYaTOkIIIYQQQgjpMZzUEUIIIYQQQkiP4aSOEEIIIYQQQnoMJ3WEEEIIIYQQ0mP+/7mcftfBEA2yAAAAAElFTkSuQmCC\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "import matplotlib.pyplot as plt\n", "from matplotlib.colors import LogNorm\n", "\n", "fig_data,ax_data = plt.subplots(1,3)\n", "fig_data.set_size_inches(15, 8)\n", "\n", "ax_data[0].hist2d(dataFrame[dataFrame['label']==0.0]['var1'],dataFrame[dataFrame['label']==0.0]['var2'],bins=100,norm=LogNorm(),range=[[0,15],[0,15]])\n", "ax_data[1].hist2d(dataFrame[dataFrame['label']==0.0]['var3'],dataFrame[dataFrame['label']==0.0]['var4'],bins=100,norm=LogNorm(),range=[[-0.01,0.03],[-0.01,0.03]])\n", "ax_data[2].hist2d(dataFrame[dataFrame['label']==0.0]['var2'],dataFrame[dataFrame['label']==0.0]['var5'],bins=100,norm=LogNorm(),range=[[0,15],[0,15]])\n", "\n", "ax_data[0].set_xlabel('Variable 1')\n", "ax_data[0].set_ylabel('Variable 2')\n", "\n", "ax_data[1].set_xlabel('Variable 1')\n", "ax_data[1].set_ylabel('Variable 3')\n", "\n", "ax_data[2].set_xlabel('Variable 2')\n", "ax_data[2].set_ylabel('Variable 3')\n", "\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extract Feature Correlations\n", "Getting the feature correlations from a dataframe is quite easy, by simply using the .corr() method. The following lines show how to get the correlations from the variables shown above" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
" }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\n\n\n\n \n \n \n \n 2020-09-11T12:51:53.563164\n image/svg+xml\n \n \n Matplotlib v3.3.0, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "import numpy as np\n", "\n", "feature_names = ['var1','var2','var3','var4','var5','var6']\n", "feature_correlations = dataFrame[feature_names].corr('spearman').values #--> There are different options on how to calculate the feature correlations\n", "\n", "textFormat = '.2f'\n", "matrixTitle = 'Feature Correlations'\n", " \n", "plt.rcParams['font.size'] = 20\n", "plt.subplots_adjust(bottom=0.25,top=0.9)\n", " \n", "fig,ax = plt.subplots()\n", "fig.set_size_inches(15.0,8.0)\n", "im = ax.imshow(feature_correlations,interpolation='nearest')\n", "\n", "ax.set_xticks(np.arange(feature_correlations.shape[1]))\n", "ax.set_yticks(np.arange(feature_correlations.shape[0]))\n", "ax.set_xticklabels(feature_names,rotation='vertical',fontweight='normal')\n", "ax.set_yticklabels(feature_names,rotation='horizontal',fontweight='normal')\n", "ax.set_xticks(np.arange(feature_correlations.shape[1]+1)-.5,minor=True)\n", "ax.set_yticks(np.arange(feature_correlations.shape[0]+1)-.5,minor=True)\n", "\n", "ax.tick_params(axis='both', which='major', labelsize=30)\n", "ax.set_title(matrixTitle,y = 1.03,fontweight='normal')\n", "ax.figure.colorbar(im,ax=ax)\n", "\n", "colorThresh = feature_correlations.max() / 2.\n", "nDim = len(feature_names)\n", "#++++++++++++++++++++++++++++++++\n", "for i in range(0,nDim):\n", " #++++++++++++++++++++++++++++++++\n", " for j in range(0,nDim):\n", " ax.text(j,i, format(feature_correlations[i][j],textFormat),\n", " fontweight = 'normal',\n", " ha = 'center',\n", " va = 'center', \n", " color = \"black\" if feature_correlations[i,j] > colorThresh else \"white\")\n", " #++++++++++++++++++++++++++++++++\n", "#++++++++++++++++++++++++++++++++\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ] }