{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Tesla and Gasoline\n", "By John Loeber\n", "\n", "Notebook released under the Creative Commons Attribution 4.0 License.\n", "\n", "---\n", "\n", "### Introduction\n", "\n", "Is the stock price of Tesla Motors (TSLA) linked to the price of gasoline? \n", "\n", "Some people think that cheap gasoline incentivizes the purchase of gas-fuelled cars, lowering demand for Teslas, thus causing a drop in TSLA stock price. I try to find out whether that is true: I investigate the relationship between the price of TSLA and the price of UGA, an ETF tracking the price of gasoline.\n", "\n", "\n", "### Conclusion\n", "\n", "The price of TSLA roughly follows the price of gasoline, with a lag of about 50 business days. However, statistical correlations show only very weak results, which is likely due to two reasons:\n", "1. The price of TSLA is not only impacted by gas -- there are other factors: earnings reports, rumours, etc. They cause occasional (smaller) movements in TSLA that are not related to the price of gas.\n", "2. The lag is not necessarily constant -- there's no reason why the offset should always be 50 business days. Sometimes TSLA may take longer to respond, and at other times it may respond more quickly. This makes it hard to fit the time-series to each other in a way that yields a strong correlation.\n", "\n", "\n", "### Going Further\n", "\n", "Use the result, that TSLA roughly follows the price of gasoline with a lag of about 50 business days, to construct a trading strategy. It will be worthwhile to [write an algorithm](https://www.quantopian.com/algorithms) to attempt to trade on this pattern.\n", "\n", "To expand further upon this project:\n", " - Test against crude oil and energy ETFs to search for other signals in the data.\n", " - Query the [Quantopian Fundamentals](https://www.quantopian.com/help/fundamentals) and use quarterly sales/revenue data to see how these details correspond to the price of gasoline. \n", " - Consider commodity prices from NYMEX or other potentially more informative datasets.\n", " \n", "Have questions? Post to the [community](https://www.quantopian.com/posts) or send us an email: feedback@quantopian.com. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Investigation\n", "\n", "I'll use [Kalman filters](https://www.quantopian.com/posts/quantopian-lecture-series-kalman-filters) to obtain moving averages, both of TSLA and of the ETFs. I overlay these moving average plots and look for relationships between the two (using both the obtained moving averages and the raw data)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Import libraries\n", "from matplotlib import pyplot\n", "from pykalman import KalmanFilter\n", "import numpy\n", "import scipy\n", "import time\n", "import datetime" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Initialize a Kalman Filter.\n", "# Using kf to filter does not change the values of kf, so we don't need to ever reinitialize it.\n", "kf = KalmanFilter(transition_matrices = [1],\n", " observation_matrices = [1],\n", " initial_state_mean = 0,\n", " initial_state_covariance = 1,\n", " observation_covariance=1,\n", " transition_covariance=.01)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# helper functions\n", "# for converting dates to a plottable form\n", "def convert_date(mydate):\n", " # return time.mktime(datetime.datetime.strptime(mydate, \"%Y-%m-%d\").timetuple())\n", " return datetime.datetime.strptime(mydate, \"%Y-%m-%d\")\n", " \n", "# for grabbing dates and prices for a relevant equity\n", "def get_data(equity_name,trading_start,trading_end='2015-07-20'):\n", " # using today as a default arg.\n", " stock_data = get_pricing(equity_name,\n", " start_date = trading_start,\n", " end_date = trading_end,\n", " fields = ['close_price'],\n", " frequency = 'daily')\n", " stock_data['date'] = stock_data.index\n", " # drop nans. For whatever reason, nans were causing the kf to return a nan array.\n", " stock_data = stock_data.dropna()\n", " # the dates are just those on which the prices were recorded\n", " dates = stock_data['date']\n", " dates = [convert_date(str(x)[:10]) for x in dates]\n", " prices = stock_data['close_price']\n", " return dates, prices" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# TSLA started trading on Jun-29-2010.\n", "dates_tsla, scores_tsla = get_data('TSLA','2010-06-29')\n", "# Apply Kalman filter to get a rolling average\n", "scores_tsla_means, _ = kf.filter(scores_tsla.values)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I'll plot the daily TSLA price and its Kalman-filtered moving average on it, simply to get a feel for the data." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0MAAAHxCAYAAACvXWe4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkiRJqkuGIUmSJEl16X8AoU+1dPyPQtcAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Use a scatterplot instead of a line plot because a line plot would be far too noisy.\n", "pyplot.scatter(dates_tsla,scores_tsla,c='gray',label='TSLA Price')\n", "pyplot.plot(dates_tsla,scores_tsla_means, c='red', label='TSLA MA')\n", "pyplot.ylabel('TSLA Price')\n", "pyplot.xlabel('Date')\n", "pyplot.ylim([0,300])\n", "pyplot.legend(loc=2)\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot raises an important consideration: in 2012, Tesla debuted the Model S and delivered 2650 vehicles. It was only midway through 2013 that Tesla rose to prominence, having dramatically increased their production output. Thus, the period between 2010 and mid-2013 is likely misleading/irrelevant. In this investigation, I will concentrate on data from June 2013 onwards." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### UGA\n", "\n", "UGA is the ETF tracking the price of gasoline." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Get UGA data and apply the Kalman filter to get a moving average.\n", "dates_uga, scores_uga = get_data('UGA','2013-06-01')\n", "scores_uga_means, _ = kf.filter(scores_uga.values)\n", "\n", "# Get TSLA for June 2013 onwards, and apply the Kalman Filter.\n", "dates_tsla2, scores_tsla2 = get_data('TSLA','2013-06-01')\n", "scores_tsla_means2, _ = kf.filter(scores_tsla2.values)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll now plot the TSLA price (moving average) and the UGA price (moving average)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2QAAAHxCAYAAAAC3H8RAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSshERERERERc8v8B7JtG6HIOkPIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "_, ax1 = pyplot.subplots()\n", "ax1.plot(dates_tsla2,scores_tsla_means2, c='red', label='TSLA MA')\n", "pyplot.xlabel('Date')\n", "pyplot.ylabel('TSLA Price MA')\n", "pyplot.legend(loc=2)\n", "# twinx allows us to use the same plot\n", "ax2 = ax1.twinx()\n", "ax2.plot(dates_uga, scores_uga_means, c='black', label='UGA Price MA')\n", "pyplot.ylabel('UGA Price MA')\n", "pyplot.legend(loc=3)\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can immediately see a strong, though perhaps lagged correspondence. If you line up the most prominent peaks and troughs in prices, you can see that the two time-series appear to correlate strongly, albeit with a lag of what looks like about two or three months. We'll use a function to find the lag that maximizes correlation." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def find_offset(ts1,ts2,window):\n", " \"\"\" Finds the offset between two equal-length timeseries that maximizies correlation. \n", " Window is # of days by which we want to left- or right-shift.\n", " N.B. You'll have to adjust the function for negative correlations.\"\"\"\n", " l = len(ts1)\n", " if l!=len(ts2):\n", " raise Exception(\"Error! Timeseries lengths not equal!\")\n", " max_i_spearman = -1000\n", " max_spearman = -1000\n", " spear_offsets = []\n", " \n", " # we try all possible offsets from -window to +window.\n", " # we record the spearman correlation for each offset.\n", " for i in range(window,0,-1):\n", " series1 = ts1[i:]\n", " series2 = ts2[:l-i]\n", " # spearmanr is a correlation test\n", " spear = scipy.stats.spearmanr(series1,series2)[0]\n", " spear_offsets.append(spear)\n", " \n", " if spear > max_spearman:\n", " # update best correlation\n", " max_spearman = spear\n", " max_i_spearman = -i\n", "\n", " for i in range(0,window):\n", " series1 = ts1[:l-i]\n", " series2 = ts2[i:]\n", " spear = scipy.stats.spearmanr(series1,series2)[0]\n", " spear_offsets.append(spear)\n", " if spear > max_spearman:\n", " max_spearman = spear\n", " max_i_spearman = i\n", "\n", " print \"Max Spearman:\", max_spearman, \" At offset: \", max_i_spearman\n", " pyplot.plot(range(-window,window),spear_offsets, c='green', label='Spearman Correlation')\n", " pyplot.xlabel('Offset Size (Number of Business Days)')\n", " pyplot.ylabel('Spearman Correlation')\n", " pyplot.legend(loc=3)\n", " pyplot.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Kalman-Filtered Smoothed Data\n", "Max Spearman: 0.122765668022 At offset: -126\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1EAAAHxCAYAAACMBjZtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Raw Data\n", "Max Spearman: -0.0133470797619 At offset: -50\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1AAAAHxCAYAAABjxF1TAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVECJiIiIiIikkwooERERERGRdPp/tPtGelzy9oAAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print \"Kalman-Filtered Smoothed Data\"\n", "find_offset(scores_tsla_means2,scores_uga_means,200)\n", "print \"Raw Data\"\n", "find_offset(scores_tsla2,scores_uga,150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These plots are not promising at all! I want to find a strong positive correlation between TSLA and UGA, but neither in the smoothed nor in the raw data is there a strong, positive correlation. However, I did find that negative offsets of 126 and 50 days are correlation-maximizing, so we'll take a look at the smoothed data with these offsets." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2QAAAH7CAYAAACjR1x3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIiEhM/j9dqvq5CI86GQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2QAAAH7CAYAAACjR1x3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd4FNXXwPHvJqQQei+CBIUdRKSFqpRQVDqhCkpRpEQQ\nUEGaL/5EmoIKSIcgSgsIhIQOUgUEkSgEIYwUQamhhU7qff+YJIISSNnd2STn8zz7LNm5M/csXCZ7\n9jaLUgohhBBCCCGEEI7nYnYAQgghhBBCCJFVSUImhBBCCCGEECaRhEwIIYQQQgghTCIJmRBCCCGE\nEEKYRBIyIYQQQgghhDCJJGRCCCGEEEIIYZJsZgcghBBCOCNN094BPgGyA6WA8sC3QFHgDV3XV5sW\nnBBCiEzDIvuQCSGESC1N094E5gF3H3i5ua7rPyYcz59w/GXgCjBc1/XAFF7rMrADGK/r+nE7hI+m\naS8CY4BqQDzwIzBU1/XwhONuwA2ghq7rvye8thUI1nV9ajrrjgfK6Lp+Kj3XEUIIkTnIkEUhhBBp\ntUfX9VwPPH584Nh04D5QGHgDmKlpWvknXQvIDTQG7gGhmqY9b+ugNU2rDWwCVgHFgNLAIWCPpmml\nE4oVBTyB8AdOfRo4aqMwLDa6jhBCiAxOhiwKIYRIq0cmFZqm5QDaAs/run4XI9EJAboCwx93LV3X\nFXAK6Kdp2tMYQwY7JFx3OVAHYwjhIeAdXdePappWHVgDFEs4H03T2gIf67pe+RF1TQC+e6Cn6w4w\nUtM0H+ATTdPGAAcTjkVqmrYfY8hiaWCNpmmxQEHgdWAkUAijF/D/dF1fklB/D2AwRmK3H+it6/pf\nmqYlJq2HNE1TQA9d15cn83cihBAiC5AeMiGEEGmhgCqapl3WNE3XNO3/NE1zTThmBWJ1XT/xQPlD\nQGp7u4KAug/8vA4og5EA/QosBtB1/RfgKvDqA2W7At/9+4KapnkBtYFHJUHfAy8nDJNM7M3Lo+t6\nI13XywB/AS10Xc8NuAFTgCYJP9cmIYnTNK01RuLZBiNx2wUEJsRaL+G6FRN6FSUZE0KILE4SMiGE\nEGnxI0YPWCGgHdAZ+DDhWE7g5r/K3wJypbKOC0D+xB90Xf9W1/U7uq7HAKOASpqmJV5zAdAFkuav\nvQIsecQ182P87rvwiGMXMRIoSNmQwnjgBU3Tsuu6fknX9cThjP4Y8990XdfjgfFAZU3TSqbgmkII\nIbIYGbIohBDisTRNewOYlfDjj7quN9d1/c/E47qu/65p2qcYCdlnwG2MuWAPyoORlKXGU8C1hBhc\ngbFAe4wesniMXrqCCdddDBxJ6AHrmBDnpUdc83rCucWAP/51rBjG0MMn0nX9jqZpr2EMS5ynadoe\nYJCu6zrG8MYpmqZ9+Yj383dKri+EECLrkIRMCCHEY+m6vpiE4YFPkNir9AeQTdO0Mg8MW6wE/J7K\nqttg9MSBMV+rFdBI1/UzmqblxUjWEueendU0bR/G3LUuwIxk3ssdTdP2YiRtO/91uCOwJaXB6bq+\nGdisaZoHRrI4F6iHMbRxdHKrSgohhBAPkoRMCCFEqmma1hT4Vdf1S5qmlQP+D2MOVmLSEwR8qmla\nT6Aq0BJjntWTruuKsZrhBxjJTeI5OYEo4FrCoiHjHnH6AmAYUBJj/llyhgGbNE07hrGvWDZgEFAT\nqP6kGBPiLJwQ2xaMFSHvAHEJh2cBozVNO5Sw6Ege4JUH5otdAp7FWLxECCFEFidzyIQQQqRFQ4yV\nAm9jLLaxkoeTpL4YqyFGAIsA/8Q9vh5BAbU1TbuFsffXdowErLqu60cSyiwAzgDnMHra9iac96Ag\njGRula7r95MLXNf1PRgLgLQFzgOnMXrw6ui6fvJfcSXHBXg/IZ6rGIuPvJNw/WDgc2Cppmk3gMM8\nvODIJ8B3mqZd1zSt/WPqEEIIkQXYbWPohMnLCzD2oFHAHF3Xv9Y0rQYwDWOFqligb8IKWWiaNhzo\ngfEt44CE4SBCCCFEimiadhzoo+v6NrNjEUIIkTEkDIMPwFgNWGHkI02AnsDlhGLDdV3faI/67dlD\nFgO8r+v680AtjD1lnsPY/2WkrutVgI8TfiZhw9DXMJYabgLM0DRNevCEEEKkSMLeY0qSMSGEEKk0\nBViv6/pzQEUgHCMx+0rX9SoJD7skY2DHOWS6rl/EWEIYXddva5oWjrHC1AWM1bYA8mIM9wBoDQQm\nLGd8WtO0E0ANYJ+9YhRCCJE5aJq2AyiHsf+YEEIIkSIJ83zr6rreHUDX9VjghqZpkLItUNLNIYt6\naJrmDVTBSK6OA7s1TfsCo4cuccJ2cR5Ovs5iJHBCCCHEY+m67mt2DEIIITKk0sBlTdPmY8wnDgUG\nJhzrr2laN+AAxtYmkfYIwO4JmaZpOYEVwMCEnrJgjPlhqzRN6wB8A7yczOmPneAWGhpqnwlwQggh\nhBBCiEzDx8cnud6ubBirAb+r6/ovmqZNxliNdyrwaUKZ0cCXwNv2iM2uCZmmaW4YK28tSlh1CqCG\nruuNE/68AmMCHRhDF0s+cHoJ/hnOmCwfHx8bRSvE44WGhkp7Ew4j7U04mrQ54UjS3oQjhYaGPu7w\nWeBs4iKDGPnJMF3XExfzQNO0AGCNveKz26IZmqZZgHnAUV3XJz9w6ISmafUT/twQYwNRgNVAJ03T\n3DVNKw2UBfbbKz4hhBBCCCFE1paw7sXfmqZZE15qDBzRNK3oA8XaYGxhYhf27CF7CegChGma9lvC\nayOA3sB0TdM8MDbT7A2QsHnm98BR/lkOX4YkCiGEEEIIIeypP7BY0zR34CTGsvdfa5pWGWMK1Z9A\nH3tVbs9VFneTfA9czWTOGcfDG4umSnx8PNHR0Wk9Pctzd3fHxUV2GhBCCCGEEFmHruuHgOr/ermb\no+rPVJ++o6OjiYqKMjuMDCkqKkqSWSGEEEIIIRzMIcveO5KHhweenp5mhyGEEEIIIYQQT5SpesiE\nEEIIIYQQIiORhEwIIYQQQgghTCIJmRBCCCGEEEKYRBIyG7t+/Tp+fn74+flRp04d6tWrl/TztGnT\naNGiBa1atcLPz4+wsDAAunbtyu+///7I623ZsoVy5cpx6tSpZOssV64cH374YdLPsbGx1KpVC39/\n/4fK9e3bl9dee80G71IIIYQQQghhC5luUQ+z5cuXj+DgYACmTZtGjhw5eOuttzh48CCfffYZq1at\nws3NjcjIyIdWNbRYLI+83tq1a/H19WXdunX079//kWWyZ8/OiRMniIqKwsPDgz179lC0aNGHyty8\neZPjx4+TK1cu/v77b0qWLGmjdyyEEEIIIYRIK+khszOljL2tIyIiyJs3L25ubgDkzZuXwoULP/bc\nO3fuEBYWxscff8z69esfW7ZevXrs2LEDgHXr1tG8efOHjm/evJkGDRrQpEmTJ15LCCGEEEII4RiZ\nOyH78EPw9rbt44GhgalRp04dLl68yKuvvsqoUaP45ZdfnnjO1q1bqVOnDsWLFyd//vwcOXIk2bLN\nmjVj3bp1REdH88cff1CpUqWHjq9fv55mzZrRtGlT1q5dm6b3IIQQQgghhLCtzJ2QOREvLy+CgoIY\nPXo0+fPn5/3332fVqlWPPWfdunU0bdoUgCZNmjw2kdI0jXPnzrF27Vrq16//0LErV65w5swZKleu\nTMmSJXFzc+P48ePpf1NCCCGEEEKIdMncc8gmTjQeTsLFxYUaNWpQo0YNrFYrq1atok2bNo8sGxkZ\nyc8//5yUOMXHx2OxWBg6dGiy12/YsCGff/45ixYt4tq1a0mvb9iwgRs3btCwYUPAGAq5du1a3n//\nfRu+OyGEEEIIIURqSQ+Zg/z555+cPn066eejR49SokSJpJ8T55ol2rRpE61bt2bbtm1s27aNHTt2\nUKJECQ4cOJBsHe3bt6d///6ULVv2odfXrVvHvHnzkq61cuVKmUcmhBBCCCGEE8jcPWROIHH1xLt3\n7zJ69Ghu3bqFq6sr3t7efPrpp0nl+vTpQ7Zsxj9H5cqVuX79Or17937oWq+88grr1q2jWrVqj6yj\nSJEidOnS5aHXzp07x4ULFx6aU1aiRAly5cpFWFgYFStWtPE7FkIIIYQQQqSU5d89MxlJaGio8vHx\nSfr5/v37AHh6epoVUoYlf3dPFhoayoPtTQh7kvYmHE3anHAkaW/CkRLa26P3mHICMmRRCCGEEEII\nIUwiCZkQQgghhBBCmEQSMiGEEEIIIYQwSaZb1CMqKsrsEDKkqKgoPDw8zA5DCCGEEEKILCVTJWTu\n7u5mh5BheXh4yN+fEEIIIYQQDpapEjIXFxdZJVAIIYTDxcbGsmzZMvbt28epU6e4desWJUuWpFq1\napQtW5batWtToEABs8MUQgjhhDJVQiaEEEI42sGDB+nZsyehoaH/ObZkyRIA8uTJw+eff06vXr1w\ncZHp20IIIf4hvxWEEEKINLhy5QpdunShatWqhIaG0r17d37++WciIyOJi4vjj0OHWDZyJCNHjkQp\nhb+/P35+fkRGRpoduhBCCCciCZkQQgiRSgcPHqRatWosXryYSpUqsXnzZr799ltq1KhBnjx5cHFx\noez48XQcPZpPX3qJ8PBwGjduzJo1a6hduzZXr141+y0IIYRwEpKQCSGEEKkQHh6Or68vZ86c4dNP\nPyU0NJSXX3754ULbt8PSpcafFyygePHibNy4kQEDBnDs2DH8/Py4f/++44MXQgjhdCQhE0IIIVLo\n0qVLNGvWjBs3bvDdd98xcuTI/84Ji42Fd98FiwUKFYJVq+DWLVxdXZk0aRKvvfYau3fvplGjRpw9\ne9acNyKEEMJpSEImhBBCpMC9e/do3bo1p0+fZtSoUXTr1u3RBQMD4ehR6NED+vaFe/cgOBgwVgP+\n9ttv6dy5Mz/99BPVqlXj/PnzDnwXQgghnI0kZEIIIcQTKKWSFu3o2rUrI0eOfHTBuDgYOxayZYOR\nI+GNN4zXZ840jgGenp4sXryYMWPGcOnSJbp160Z8fLyD3okQQghnIwmZEEII8QTfffcdy5cvp27d\nusydOxeLxfLogitWgK5Dt25QqhSULQtt2sDevTBhQlIxi8XCiBEjaNGiBVu3buXjjz920DsRQgjh\nbCQhE0IIIR7j/PnzvP/+++TMmZNFixbh4eGRfOEvvzTmjg0f/s9rc+ZA8eJGj9mOHUkvWywW5s+f\nj7e3N2PHjuWTTz6x23sQQgjhvCQhE0IIIZKhlOKdd94hMjKSiRMn8vTTTydf+MAB+OUXaNECypT5\n5/WCBY15ZRaL0Vt25MgDhwqyY8cOSpcuzahRo1i8eLEd340QQghnJAmZEEIIkYylS5eyevVqfH19\n6d279+MLz5xpPPft+99j9erBN99AZKTx57lzIWHeWKlSpdi8eTM5c+bE39+fEydO2PhdCCGEcGaS\nkAkhhBCPcP78efr374+XlxcBAQH/Xd7+QdevG71gzzwDr7zy6DJduxrDF6OjoXdv+OCDpENlypRh\n1qxZ3L59m86dOxMdHW3jdyOEEMJZSUImhBBC/EtsbCydO3fm6tWrfP755zz77LOPP2HWLGN5+759\n4XGJW69ecOwYPPccTJkCy5cnHXrjjTfo3r07Bw4cYMSIETZ6J0IIIZydJGRCCCHEv3z88cf8+OOP\ntGvXjn79+j2+8P378PXXkDu3kXA9yVNPwcqVkCMH9OwJN24kHZo2bRpWq5Uvv/ySDRs2pPNdCCGE\nyAgkIRNCCCEesH79esaPH0+ZMmWYN29e8kvcJ1q0CC5eBH9/IylLieeegyFD4OZNCApKejlnzpws\nXboUd3d3unfvzoULF9LxToQQIgOZPv2fvRuzGEnIhBBCiASnT5+ma9eueHh4sHz5cvLkyfPkk2bM\nMDaCHjAgdZV17Wo8L1z40MtVqlRhwoQJXL58WTaNFkJkDbGxMGoUbNtmdiSmkIRMCCGEAG7cuEHz\n5s25du0a06ZNo3Llyk8+6dQp+O03ePllYyhiapQuDXXqGHuT/f33Q4cGDBhAixYt2LJlCxMe2FBa\nCCEypV274PJl8PMzOxJTSEImhBAiy4uNjaVjx44cPXqUgQMH0rNnz5SdmDjcsF27tFXctSsoBf/a\nfyxx0+jixYvzf//3f2zevDlt1xdCiIxgxQrjuX17c+MwiSRkQgghsjSlFAMHDmTz5s00b96cL7/8\nMuUnr1xprKrYunXaKu/QATw9ISAgaV+yRAULFmTx4sW4urrSvHlz5s2bl7Y6hBDCmcXFGV9uFSgA\n9eubHY0pJCET6RIdHc2hQ4c4cOAA+/bt4+DBg8TFxZkdlhBCpNiiRYuYMWMGFStWJDAwEFdX15Sd\nePYs7NtnfIAoWDBtlefLB507w8mT8IheMF9fX7Zs2ULu3Lnp2bMnMxM3nxZCCGd14gQcOpTy8jt2\nGAsjtWljzMfNgiQhE2kSHx/PtGnTeOaZZ6hcuTLVq1endu3aVKlSheLFi9OrVy82btyIUsrsUIUQ\ndnTr1i2+//575s+fz/Hjx80OJ9WuXr3KBx98QI4cOQgJCSFXrlwpPzkw0HhO7xCbvn2N5xkzHnm4\nbt267N69m8KFC9O3b1/mzJmTvvqEEMIelIK5c6FCBaheHY4cSdl5o0cbzykdKp4JZc00VKTL7du3\n6dKlCyEhIeTIkYMePXqQL18+smXLxuXLl1m7di0BAQEEBATQo0cP5s6di8vjNkoVQmQo4eHhDB8+\nnAMHDnDp0iViY2OTjrVu3Zrp06fzVGoXuLCR2NhYsqXwG9Y7d+7w7rvvcuXKFb744gu8vb1TXpFS\nxjBDDw/o1CltwSaqVg1q1IC1a41vlsuU+U+R5557jm3btuHr60ufPn1wcXFJ+Tw3IYRwhDVroHdv\nyJULbt2Ct96Cn356fK/X9u2wcyc0bQo1azouVmejlMqwjwMHDijhWPHx8apx48YKUI0aNVKXLl36\nT5nY2Fi1a9cu5ePjowDVs2dPEyK1PWlvwpGctb3NmjVLZcuWTQGqZMmSqnbt2urjjz9W06dPV3Xq\n1FGA8vLyUu+++646f/68Q2I6fvy46tKliypZsqQCVLFixVS9evVUr169VHBwsLpx44a6e/euUuqf\n+9PgwYNV4cKFFaCqVKmioqOjU1fpjh1KgVJvvGGbN7FsWYquFxYWpgoUKKAsFotav369bepO4Kxt\nTmRO0t4yoQ4djPvYL78Y9zJQ6p13lIqNfXT5o0eVeu45o9z+/XYNLaG9mZ67JPcwPYD0POQ/syEu\nLk5FRUU5pK758+crQDVt2vSJH2CuX7+uqlatqgAVEhLikPjsSdqbcCRnbG9z585VgCpcuLAKCQlR\n8fHxDx2Pi4tTAQEB6umnn05KjH755Re7xfPHH3+o3r17JyWIRYoUUS+99JLy9vZWFotFAQ89ChQo\noAoWLJj0c+7cudXIkSNVZGRk6itP/LCxY4dt3kxcnFKVKytlsSgVFvbYovv371ceHh4qX7586uTJ\nk7apXzlnmxOZl7S3TObOHaVy5FCqbFml4uOVunpVqeefN+6TzZop9fffRrmICKUGDFCqenWl3N2N\n4wMH2j08ScgkIbOb6OhoNXXqVFWsWDGVLVs2ValSJbVo0aL/fEiylYsXL6r8+fOrnDlzqr/++itF\n5xw9elS5ubmpEiVKqJs3b9olLkfJ6u1NOJaztbfvv/9eWSwWVbBgQXX48OHHlo2OjlYTJkxQFotF\nZc+eXe3bt8+msWzcuDGpNw5QZcqUUcuXL3/o3nf//n21f/9+NXjwYNW0aVP1yiuvKKvVqkqWLKl6\n9eql1q1bp+7du5e2AGJjlcqVS6lnnjE+eNjKunXGr+V27Z5YdN68eUm9lL/99ptNqne2NicyN2lv\nmUxQkHH/Gjbsn9ciI5V6+WXj9ezZlapVS6m8eY2f3d2VqlDBOM8BJCGThMwuoqKilJ+fnwJUjhw5\nVI0aNZSHh4cCVKtWrdL+QeMx9dWtW1cBasqUKak6d+TIkQpQgwcPtmlMjpaV25twPGdqb9u2bVPu\n7u4qV65c6tdff03xeUFBQcrFxUUVKVJEnTlzJt1xxMfHq6+++kpZLBZlsVhUgwYN1LJly1RscsNh\n7OXgQePX59tv2/a68fFGL5mrq1IpGO75+eefJw0R3bx5c7qrd6Y2JzI/aW+ZzOuvG/fFf/+7xsUp\nNX++Uk8/rVS2bEoVLKjU5MlKpXaYeDpJQiYJmc1FRkaqli1bKkA1bNhQRUREKKWUOnXqlGrQoIEC\nVNu2bW3yIeXYsWPqgw8+SPo2un379qnugbt3757y9vZWbm5u6o8//kh3TGbJqu1NmMNZ2tvBgwdV\n7ty5lZubm9qyZUuqz58yZYoCVJ48edTIkSPVnTt30hTH9evXVYcOHZKGQu6383yDx5oxw/j1GRBg\n+2vPnGlce+zYFBVfuXKlcnd3Vx4eHioond80O0ubE1mDtLdMJDpaqdy5lSpVyrajBmzI2RMyu62y\nqGlaSWABUDhhWMkcXde/TjjWH+gLxAHrdF0fmvD6cKBHwusDdF3/76YsWVhsbCwhISEMHjyY06dP\n06hRI1avXo2XlxcApUuXZv369TRt2pSgoCD69evHzJkzsVgsj7xeREQEc+fOZdWqVZQsWZKqVatS\nqFAh8ufPj1KKXbt2MWfOHGJiYgCoVasW8+fPT/Z6yfH09GTixIl06NCBDz74gNWrV6f6GkIIxzt/\n/jxNmzbl5s2bBAYG0qhRo1Rfo3///gCMHj2a0aNHExwczPLly9E07YnnKqX466+/WLlyJZ9//jkR\nERG8+OKLLF26lJIlS6Y6Fpv56Sfj+cUXbX/t11+HQYOMpaOHDTM2nX6Mtm3bsnbtWlq3bk3btm3p\n1q0b06dPJ2fOnLaPTQghHmXPHrh5E7p1gwz6+U7TtLxAAPA8Rt7yFnAcWAaUAk4DHXVdj7RLAPbK\n9KxWa1Gr1Vo54c85rVarbrVan7NarQ2sVusPVqvVLeFYoYTn8lar9aDVanWzWq3eVqv1hNVqdXlc\nHVnl25X4+HgVGBiYNFHexcVFjRw5UsXExDyyfGRkpKpUqZIC1IgRI/7TUxYXF6dmz56tcufOrQDl\n6ur6n8nviY+SJUuqZcuWqQsXLqi4uLh0vQdfX18FqF69ejl+iJENZJX2JpyD2e0tNjY2qcd94sSJ\n6b7e7du3Vd++fRWgcubMqZYuXfrIcvfu3VPLli1TnTp1UiVKlEi6F+XKlUuNGTMm2fueQz3zjFL5\n8hlDceyhRw+jl2zTphSfEhYWlrSybZMmTVK/aqQyv82JrEXaWyYyeLBxz9qwwexIkvWkHjKr1fqd\n1WrtkfDnbFarNY/Vap1gtVqHJLw21Gq1fva4a6Tn4bCuOKvVGmy1WhtbrdZlVqu14SOOD7darUMf\n+Hmj1Wqt9bhrZoX/zDExMapTp04KUO7u7qpfv37q6NGjTzzvwoULqnTp0gpQpUqVUhMnTlQXLlxQ\nP//8s6pfv37SCmOTJk1SN27cUGfOnFEbN25US5YsUVOnTlVfffWV2r59u03nol26dClp1cUmTZqo\nK1eu2OzajpAV2ptwHma3t1GjRilAtW7d2qYLBS1ZskTlyJFDAapOnTpq7ty56uDBg+rLL79Uvr6+\nScdIWM2xbdu26quvvnKe+8WFCypp1TB72bdPpXRxjwdFR0erZs2aKUC9/fbbqf53M7vNiaxF2lsm\nUr68sWhHwvYizuhxCVlC8nXqEa8fs1qtRdQ/HU3HkrtGeh8O2Rha0zRvoArwMzARqKdp2jjgPjBY\n1/UDQHFg3wOnnQXM2VnUScTHx9OzZ0+WLl3Kiy++yIIFC3j22WdTdG7RokX58ccfGTt2LAsWLODD\nDz/kww8/TDr+781bc+fOzdNPP22X95GocOHCbN++nU6dOrFhwwaqVq3K3r17KV68uF3rFUKkzvff\nf8///vc/SpYsyTfffGPTIcadO3emSpUqDBw4kM2bN7N79+6kYxaLhfLly9O8eXO6du3K888/73zD\nm/fuNZ7tMVwxUY0aULEihITAxYtQtGiKTnNzc2PZsmXUr1+fefPm4ePjwzvvvGO/OIUQ4vRpOHoU\nmjeH7NnNjiatSgOXNU2bD1QCQoH3gCK6rl9KKHMJKGKvACxKKXtdGwBN03ICO4Axuq4Ha5p2GNim\n6/pATdOqA8t0XX9G07SpwD5d1xcnnBcArNd1PSi5a4eGhto3eBMppZgwYQLLly/n+eefZ8aMGeTI\nkSNN17p58ybBwcEcOHCAokWL8tJLL1GvXj3TPujEx8czc+ZM5s+fT506dZg0aZLzfegSIosKCwvD\n398fNzc3AgICKFu2rN3qOnv2LHv27OHYsWNomkaTJk3Imzev3erLKi5evEiXLl24ffs2AQEBVKhQ\nweyQhBDCdD4+Po/8sKlpWjVgL/Ciruu/aJo2GbgFvKvrer4Hyl3TdT2/PWKzaw+ZpmluwEpgka7r\nwQkvnwWCABLedLymaQWBc8CDs7RLJLz2WD4+PrYN2kmMHDmS5cuXU7FiRbZv307+/On792/QoIGN\nIrMNHx8fzpw5w7Zt2zh69CjdunUzO6QnCg0NzbTtTTgfM9rbqVOnGDJkCHFxcYSEhNCkSRO71ufj\n40Pr1q3tWofNVa1qfBscGQmenvarJzISihc3esdOnHji4h7/tmLFCho3bsz06dPZt28fLik4X+5x\nwpGkvWUC169D2bIQHQ0nT0KhQmZHlKzQ0NDHHT4LnNV1/ZeEn1cAw4GLmqYV1XX9oqZpxYAIe8WX\nujt8KmiaZgHmAUd1XZ/8wKFgoGFCGSvgruv6FWA10EnTNHdN00oDZYH99orPmSUONXz22WfZvHlz\nupMxZ+Ti4sK8efPw8vLio48+SlrJUQhhjps3b9KiRQuuXLnC1KlT7Z6MZUjXr8PBg1Crln2TMYC8\neaFzZ/jzT9ic+gWHGzVqRKdOnfjll19YunSpHQIUQmR5Y8bA1avw0UdOnYw9ia7rF4G/E/ISgMbA\nEWAN0D3hte4YOYxd2C0hA14CugANNE37LeHRBPgGeCZh6GIg0A1A1/WjwPfAUWAD0FfX9Uw7JDE5\nt2/f5q362LIvAAAgAElEQVS33sJisbBo0SKKFLHbcFXTeXt78/bbb3P27FlWrFhhdjhCZFnx8fF0\n7dqV8PBwBg4cKPOOkrNrFygFvr6OqS/x32HGjDSdPn78eNzd3Rk+fDj379+3YWBCiCzv+HGYOhW8\nvWHgQLOjsYX+wGJN0w4BFYGxwGfAy5qm/YHRmfSZvSq325BFXdd3k3zC1zWZc8YB4+wVU0Ywbtw4\nTp06xdChQ6lVq5bZ4djde++9x7Rp0/jqq6/o1KmTzCUTGd7Fixc5ffo0VqsVV1dXTp06xY4dO4iM\njOT27duEhYVx+fJlAGrWrMkzzzzDnTt36N69e4oX7bG10aNHs3r1aho2bMgXX3xhSgwZwvbtxrOj\nhoBXqwbVq8PatXDmDJQqlarTvb29GThwIBMnTmTKlCkMHTrUToEKIbKcoUMhJgYmTLD/iAEH0HX9\nEFD9EYcaOyQAey3f6IhHZlsy9cyZM8rT01M99dRT6s6dO2aH4zBt27ZVgJo9e7bZoTxWZmtvwrZu\n3bql+vXrp9zd3ZPd1y/xkTt3bpU9e/aHXitUqJD69ddfk67nqPYWHBysAOXt7a0uX77skDozrMqV\nlfLwUMqG24E80TffGEvgf/xxmk6/fv26KlCggMqdO7eKiIh4bFm5xwlHkvaWgf3wg3FfeuklpWy4\nLYo9PWkfMrMf9hyyKFJpxIgR3L9/n3HjxuHl5WV2OA4zatQo8ufPT58+fRg/frzZ4QiRavfv38fP\nzy9pK4n+/fvTvHlzWrZsydtvv83ChQvZvn07e/bsITIykhs3bnDz5k327dvHmjVrmDhxIleuXKFu\n3bpMnDjRYXMqf/jhB9544w2yZ89OcHAwBQsWdEi9GdLNm3DokGPmjz2oQwfIkQMWLID4+FSfnjdv\nXj755BNu3rzJJ598Yvv4hBBZy9Kl0KqVsdDQV1+BjGyyDbMzwvQ8MtO3K/v371eAqlq1qoqLizM7\nHIc7duyYKlWqlALUDz/8YHY4j5SZ2puwnaNHj6pGjRopQPn5+ano6Og0XWf58uWqQIECClD169dX\nO3bssHGkDwsKClJubm7Kw8NDrVmzxq51ZQrbtxvfCA8Z4vi6u3c36k5jm4iOjlZWq1W5urqq8PDw\nZMvJPU44krS3DGjvXuNelCuXUsHBZkeTKtJDJp5IKcWgQYMA+PLLL1O0PHFmo2kaK1euJFu2bHTv\n3p1r166ZHZIQj7V8+XKaNGlChQoV2Lp1K82bNycwMBA3N7c0Xa99+/bouk6bNm3YuXMnvXr1Ijw8\n3MZRG7Zt20anTp3w8PBg06ZNtGjRwi71ZCoHDhjPZizTnbgtyIIFaTrdzc2NCRMmEBcXx5AhQ2wY\nmBAiy1AKhg83/rx6NWS0LUucXNb75O+E1qxZw65du2jVqhW+jlq9ywn5+Pjw6aefcv78efr06YNS\nWW6RTZEBREdH4+/vT8eOHdm0aRM+Pj6EhISwZs0aPNM5lK1AgQIsX76cvn37cvz4cSpXroy/vz/B\nwcHExsbaJP7Q0NCkvb9CQkKoX7++Ta6b6SXuYVOtmuPr9vWFp5+G5cvh7t00XaJVq1bUq1ePNWvW\nEBgYaNv4hBCZ35YtsGMHNG3quJVmsxBJyJzArFmzABg7dqzJkZhvyJAh1KlThxUrVrAgjd8GC2Ev\nhw4dolatWsyePZvKlSsTHh7O/v37adWqlc1WCHV1dWX69Ol88cUXFCxYkNmzZ9OmTRsqVKjAypUr\nH/lFRWxsLFFRUU+89vHjx2natCl37txh8eLFNGzY0CYxZwkHDkC+fFC6tOPrdnGBrl3h1i1YtSr5\ncuvWGStA5s8PjRo9dMhisTBnzhxy5cpFz549+f333+0ctBAiUxk1yniWz6p2IQmZyS5dusTmzZup\nXr06FSpUMDsc07m6urJw4UJy5crFgAEDZOhiBhIZGcncuXOJiLDbRvam2rdvHzVq1OC3336jR48e\n7N69m3LlytmtPl9fX06fPs2ePXvo3bs3J06coH379lSvXp1x48YxefJkOnfuTOnSpXFzc8PT05NX\nX32Vs2fPPvJ6v/32G/Xq1ePy5cvMmDGD9u3b2y32TOf6dThxwugdM2sC++OGLUZEQJs20KIF7NwJ\n0dGwbRscO/ZQMU3T+Pbbb7l79y5169ZlyZIlDghcCJHh/for7Nlj9I5VqWJ2NJmSJGQmW7p0KXFx\ncXTp0sXsUJyGt7c3//vf/7h58yZTp041OxyRAkePHqVGjRr07t0bq9VKQECA2SHZVEREBO3btyc2\nNpaVK1cyb948cuTIYfd63dzcePHFF5k9ezbh4eG89tprhIaG8tFHH/H++++zdOlSbt68Sf369fHx\n8WHz5s288MILTJo0iYiICE6dOsXkyZNp3rw5L730EpcuXeLrr7/G39/f7rFnKr/+ajybMVwxkdUK\ntWsbw4bOnfvn9d27oWJFCA6GevUgLAymTzeOrV79n8u0bduWb775hpiYGN544w3GjcvSW38KIVIi\n8bNY//7mxpGZmb2qSHoemWGFHh8fH+Xq6qouXbpkdihO5datWyp//vwqX7586saNG2aHo5SSFaGS\ns2rVKpUzZ04FqNdee03lzZtXAWrOnDlmh2YTMTExqmHDhgpQ48aNc1i9ybW3c+fOqVWrVqnFixer\n48ePq/iEPWDi4+PVrFmzVJ48eR6591nZsmVVUFCQw+LPVD77zFhZbMUKc+OYOdOIo2VLpY4fV2r9\neqW8vJTKlk2pL75QKnGF3suXlXJxMfYISsbx48eTVradOHGiUkruccKxpL1lEBERxv6LZcv+c4/J\ngJx9lUXTA0jPI6P/Zz569KgCVLNmzcwOxSmNHj1aAWrUqFFmh6KUkl8ejzJ37lwFKC8vL7Vs2TKl\nlFK6rquCBQsqFxcXFRISYnKE6Tds2DAFqNatWzt0S4q0trcrV66oESNGqHbt2qmOHTuqWbNmqXPn\nztk4uiymTh2lLBalzP57vHlTqVq1jF/diQ83N6Ue9f+sbl0j5sdsBn3ixAlVvHhxBSh/f3+1b98+\nOwYvxMPkd2oG8eGHxr3m66/NjiRdJCGThCxZI0aMUIAKDAw0OxSnFBkZqYoVK6bc3NxUWFiY2eHI\nL49/+fnnn5W7u7sqUKCAOnjw4H+OeXl5KU9PT7V7926TIky/nTt3KkCVKVNGRUZGOrRuaW9O4tQp\n41dlgwZmR2KIjVVqzhyl2rVTqls3pbZte3S5iRONuOfPf+zlTp8+rSpVqqQA1bhxYxUTE2P7mIV4\nBLnHZQDnzinl6alUiRJK3btndjTp4uwJmcwhM0l8fDyLFy8mV65ctGrVyuxwnFKePHmYO3cuMTEx\ndOvWLUWryAnHuHHjBu3btycmJobAwEAqVar00PEaNWqwYsUKYmJiaNq0KTNmzCAuLs6kaNNGKcXw\nhD1XFi5cSJ48eUyOSJhi8WLjuWtXc+NI5OoKvXrBihXw3XfGqoqP8vLLxvNPPz32cqVKlWL37t3U\nq1ePLVu20L17d+7du2fjoIUQGdKYMXD/Pvzvf5DObV3E40lCZpI9e/Zw5swZ2rVrh5eXl9nhOK3m\nzZvTs2dPDh48yPvvv292OCLBsGHD+Pvvvxk5ciQvJ37w+5emTZsSGBiIi4sL/fr1o0mTJly9etXB\nkabdhg0b+Omnn/Dz86NWrVpmhyPMoBQsXGh8EGnXzuxoUqd8efDw+Gf/tMfImTMna9eupUKFCixZ\nsoTq1atz4sQJBwQphHBakZEwfz488wy8+abZ0WR6kpCZZOHChQCyumIKTJkyhYoVKzJz5kzGjx9P\nTEyM2SFlabt372bWrFk8//zzfPTRR48t26FDB44dO0aLFi3YsmULNWrU4OTJkw6KNO2io6MZOnQo\nFouF0aNHmx2OMMu2bfDHH+DnB7lzmx1N6ri5GasvHj4MKRhdkCtXLmbNmsW7777LkSNH6NatG/Hx\n8Q4IVAjhlJYsMXrHeveGbNnMjibTk4TMBPfv3+f777/nqaeewld2O38iLy8vgoKCKFCgACNGjOCF\nF17g+PHjZoeVJUVFRdGrVy8sFgtz587F3d39iecULVqUkJAQRowYwalTp6hfvz5HjhxxQLRpN2HC\nBH7//Xd69uwp+wNmVUoZw3QABg82N5a08vGBmBhI4f83T09Ppk6dSocOHdi7d2/SF4dCiCwoIMAY\nIt29u9mRZAmSkJlg3bp13Lhxg9dffx1XV1ezw8kQnn32WY4cOUKfPn3QdZ3GjRvz999/mx1WljN+\n/HiOHTtG3759qV27dorPc3FxYezYsXzxxRecO3eOihUr0q5dO65cuWLHaNNG13VGjx5NsWLFmDBh\ngtnhCLNs3WpshNqypZHYZESJcadg2OKDvvjiC7Jnz87QoUO5fPmyHQITQji10FD47Tdjs/miRc2O\nJkuQhMwEixYtAqCrs0wSzyCKFCnCrFmzGDNmDH/99RctWrTg/v37ZoeVZYSGhjJu3DieeuqpNG8m\nO2jQIIKCgqhatSpBQUH4+fk53WItQ4cOJTo6mmnTppE3b16zwxFmeLB37JNPTA0lXapWNZ5TmZA9\n/fTTjBo1ikuXLtG5c+cMtyCPECIdoqPB39/4c+KzsDtJyBzs2rVrrFu3jooVK/LCCy+YHU6GNGLE\nCHr16kVYWBjDhg0zO5wsISIiAj8/P2JjYwkICCB3OubTtGnThv3799O5c2f27NlDr169jD04nMCe\nPXsICQmhTp06tGnTxuxwhFm2bDFWJ2zV6p+kJiOqUAHc3VOdkIHx5UnLli3ZunUro0aNskNwQgin\nNGIEHDhgDFVs0sTsaLIMScgcbOPGjcTExPDaa6+ZHUqGZbFYmDx5MuXKlWPKlCls3LjR7JAyNaUU\nXbp04ezZs4wZM4YmNrhBWywWvvnmG2rVqsXChQvT3ONmS/Hx8QwZMgSAzz//HIvFYnJEwhQP9o4l\nPmdU7u7wwgsQFmZ8650KLi4uLFiwgFKlSjFu3Dh+/fVXOwUphHAaf/wBkyZB2bIwbZrZ0WQpkpA5\n2IYNGwBo1qyZyZFkbF5eXixZsgQ3NzfefPNNIiIizA7J6V29epWLFy+yf/9+ZsyYQVBQEOfOnXvi\nefPmzeOHH36gWbNmSfty2YKnpyfBwcE8/fTT/N///Z/pCwjMnj2bn376iXbt2vHiiy+aGosw0Q8/\nwN690Lp1xu4dS1SzppGMpaGXLG/evAQEBBAXF8dbb71FdCqTOiFEBjNuHMTHG885c5odTZYiCZkD\nxcfHs2nTJooVK/afjXRF6lWpUoXx48dz6dIlunXrJh8WkpHY81OwYEGKFStGzZo16devH+3atcPb\n25sBAwYkuz/Yn3/+yaBBg8idOzezZ8+2ea9RkSJFWLt2LXnz5qV79+4sWLDAptdPqTNnzjBkyBDy\n5s3L1KlTTYlBOAGl/pkzltF7xxLVq2c8//hjmk5v3LgxPXv2JCwsjJ49ezrN8GIhhI39+ScsWmTs\nYdi2rdnRZDmSkDlQaGgoly9fpkmTJjIcykbef/99mjRpwqZNm+jYsaPTLRBhtrt379K+fXsmTpzI\nM888w2uvvcY777zD/Pnz+eyzz/D29mbq1KmUKVOGiRMnPpSY/f333zRs2JCbN28yadIkSpQoYZcY\nX3jhBbZu3UrevHnp0aMHu3fvtks9ybl9+zZt2rTh9u3bTJo0iWLFijm0fuFENm82esf8/KBKFbOj\nsY26dY3nXbvSfIkpU6ZQs2ZNFi5cyODBg2V/MiEyo88+g7g4+OgjcJH0wOGUUhn2ceDAAZWRjBo1\nSgHq+++/NzuUTOXOnTuqUaNGClDNmzdX9+7ds0s9Ga29nT9/XlWrVk0BytfXV129evU/ZaKiotSk\nSZNUvnz5FKDc3NxU48aN1dtvv63y5s2rADVq1CiHxLtz507l4uKinnrqKRUREeGQOmNjY1WLFi0U\noHr27Kni4+MdUm9KZLT2lim89JJSoNRvv5kdiW09+6xSefIoFRv72GKPa3MRERGqbNmyClCtWrVS\nR48etXWUIouRe5wT+esvpdzclCpb9on3iYwqob2Znrsk95AU2IE2btyIq6srL7/8stmhZCpeXl6s\nWbOGV199lXXr1uHn58e9e/fMDstUhw8fpmbNmhw4cIA333yTTZs2kT9//v+Uc3d357333uPEiRNM\nnDiR8uXLs2XLFubNm4enpyeTJk1i5MiRDom5Xr16jBkzhnPnzlG3bl3Cw8PtXuf777/P2rVreeWV\nV5gxY4b0XGdloaHGvmPNmkHlymZHY1v16sGNG/D772m+RKFChdi7dy+NGjVi9erVlC9fnlq1arF2\n7VoZxihERjdhgrGJ/IgRxmbQwvHMzgjT88hI365cvXpVubi4qDp16pgdSqZ179491bx5cwWoxo0b\nqzt37tj0+hmlvR09elTlyZNHAWrs2LGp7vWJiIhQe/fuVdHR0XaKMHlxcXFq8ODBClBeXl5q7Nix\nasuWLWrhwoUqODhY7dy5Ux07dswmPVmTJ09WgKpQoYKKjIy0QfS2lVHaW6bRvbvRO7Zhg9mR2N43\n3xjv7euvH1ssJW0uJiZGLVmyRDVr1kwBClBly5ZVY8aMUYcOHXKqXmbh3OQe5yQuXFDKw0Mpb2+l\nTPi97yjO3kNmegDpeWSk/8yBgYEKUGPGjDE7lEwtKipKtW7dWgGqcuXKKjw83GbXzgjt7erVq6pM\nmTIKUPPnzzc7nDRbvny5KlSoUNIHvn8/qlevroKCglRcXFyarh8cHKwsFosqWrSoOnPmjI2jt42M\n0N4yjYgI4wNJ2bJKpbFNObWTJ41f961aPbZYattcWFiY6tq1q/L09Ez6v1muXDn12WefqSNHjqgT\nJ06osLAwSdLEI8k9zkkMGmTcH2bNMjsSu3L2hMyiVMYdahAaGqp8fHzMDiNFEleQCw0NpWpmWErZ\nicXExNCvXz/mzp2Ll5cXn332Gf369cMlnZNUQ0NDcdb2Fh8fT0BAAKNGjeL8+fMMHz7cKfb2So/I\nyEimT59OVFQUTz31FLdv3+b69escPnyYNWvWoJSiXLlyvPjii3h4eHDx4kV8fX3x9/fH3d092euu\nXr2aTp06YbFY+PHHH53239SZ21um07cvzJwJU6bAgAFmR2Mfzz0HZ87A1auQPfsji6S1zUVGRrJu\n3TpCQkJYvXr1fxZXGjBgAJMnT5YhweIhco9zApcvg7c35M8PJ06Ah4fZEdlNQntz2puQJGQOEB8f\nT7FixbBYLJw/fz7diYFImeXLl+Pv78+1a9eoV68eEyZMYMeOHZw8eRIPDw88PDwoVKgQpUuXZsGC\nBRw7doxu3bpRtmxZrl+/TpkyZahZsyZ58uQBnPeXx5UrV+jatSsbN24ke/bsDBo0iFGjRmXqdhYe\nHs6ECRNYtGgRsbGxDx179tlnWbRoEbVq1frPeVOnTmXgwIF4enqyYsUKp94P0FnbW6azdSs0bgzP\nP2/MI8usH0iGDIGJE2HtWmje/JFFbNHmrl27xurVq9m8eTOurq6EhoYSHh5O2bJliYqKokCBAlSo\nUIHOnTvzyiuv4CrzVbIsuceZLD4eeveGefPg66+hf3+zI7IrZ0/ITO+iS88jo3R3h4aGKkB1797d\n7FCynIsXL6o2bdokO/TtwceDw24SH/ny5VNTpkxRcXFxTjm84vr16+q5555TgGrSpIk6f/682SE5\n1O3bt5Wu6+rQoUPq1KlTasCAAcpisSg3Nzc1efLkh4ZKbdy4UVksFlWsWDEVGhpqYtQp44ztLdO5\ndEmpkiWVcnVV6pdfzI7GvnbtMoYl9emTbBF7tLnLly+r+vXrq5w5c6qSJUuq7NmzJ91fa9SooQ4f\nPmzzOkXGIPc4E0VGKtW1q3FPKF9eqbt3zY7I7px9yGI2h2eAWdDWrVsBeOWVV0yOJOspUqQIK1eu\nZNmyZSxbtoxGjRrRqFEjYmJiiIqK4uzZs4SHh1O3bl0qV67MsmXLiI6OJnfu3Pz+++/MmjWLgQMH\nEhkZSfNkvlU2S0xMDB07diQ8PJz+/fszefLkTN0r9ig5cuTAarUm/TxlyhRatWrF66+/znvvvceO\nHTvw9/fnr7/+YujQobi7u7N69WoZNizg/n1o0wb+/hvGjIFq1cyOyL5q14YCBWDNGmN4poOGDxYs\nWJAdO3Yk/ayUYv/+/Xz11Vd8//33+Pj4EBAQQNeuXR0SjxBZWlwcTJ5s3PMiI6FGDVi/PtlhzMKB\nzM4I0/PIKN+uJK78d+7cObNDEal08eJFVbx4ceXm5uZU+8dFRUWptm3bKkC1bNlSxWbSfUPS6vz5\n86p+/foP9Xa6uLiob7/91uzQUiyj3N8yrIEDjW+HO3dWKqssOpH4jXgyPcSObnOrV69OWhF2+PDh\naV6kR2RMco9zsL/+UsrX17gHFCig1PjxStl4NWpn5uw9ZFnr63QTxMXFsWvXLsqUKUPx4sXNDkek\nUpEiRZgxYwYxMTGMGjWKu3fvmh0Sd+7coV27dgQFBdGgQQMCAwNlHsa/FCtWjK1bt7JhwwY++ugj\nxo8fz+nTp+nevbvZoQlnsH+/MWfCajXmT2SVxSYS50xu3GhuHAlatmzJvn37KFOmDOPHj6ddu3bc\nuXPH7LCEyHyWL4eKFWHHDmjdGo4dg2HDwMvL7MhEAknI7OzgwYPcvHkTX19fs0MRadS6dWu6du3K\nkSNHaN++PdHR0abFcvXqVRo0aJC0mfHatWvJkSOHafE4M1dXV5o0acKYMWMYNmwYJUuWNDsk4Qxi\nY6FXL1AK5szJWkN1Xn7ZSD43bTI7kiTlypXj559/pmHDhgQHB9OgenUu7d79T4H4eNi9G/z9wc/P\n+De7f9+8gIXISO7ehR49oGNHiI42/v+sWgUFC5odmfgXmUNmZzt37gSgfv36Jkci0iMgIICTJ0+y\nYcMG/Pz8WL58uSmJUP/+/fnll1/o1q0bc+fOfezy7kKIR1iyBMLCoHt3yGr35QIFjDkjP/0EN25A\nwgqyZst//z4bmzWj16+/8l14OA3q1mV3587kz53bSB5Pn/6ncEiI0cMZEGBavEJkGEOGwPz54OMD\nixeDppkdkUiG9JDZmSRkmYO7uzsTJkygadOmbNiwgdq1azNu3DjOnDnjsBi2b99OYGAgNWrUYP78\n+ZKMCZFaMTHw6afg5mY8Z0Wvvmr0Em7bZnYkhgsX4PnncRs8mPk3b/Ke1Uo40CowkNuzZ8OVK0by\n/MMPcPIklCkDixbBtWtmRy6Ec/vjD5g9G8qWhT17JBlzcpKQ2VFUVBTbt2+nTJkyMlwqE/D09CQk\nJIQ333yTw4cP89FHH6FpGu+++y6zZ8/m2LFjdqs7cbNri8XC9OnTs9xqikLYxMKFxof6Xr3g6afN\njsYcTZoYzxs2mBtHomnTjNXePvgAy/nzfBkeTufXXmMPUPGpp1gVEMCtqVONveKeeQb69IGoKFiw\nwOzIhXBuI0YYX76MH59591fMRORTnR1t376dW7du0apVK7NDETbi5ubG/PnziYiIYN68eRQuXJjp\n06fj7+9P+fLl6dKlC9evX7d5vVOmTCE8PJw+ffpQLbMvzy2EvUyfDtmyGR9UsqoaNf5Z/j4+3txY\n7twxluAvWNBYhrtIEVxcXPh2wQKGDRvGmQsXaNupE3nz5qV69eoMHjyYkCJF2J0tG4e+/hpldvxC\nOKuDB2HlSqhVC9q2NTsakQIyh8yOVq1aBYCfn5/JkQhbK1SoED169OD1119n7969/Pnnn0ydOpXF\nixdz4sQJfvjhB3LlymWTus6dO8cnn3xCgQIFGDt2rE2uKUSWc+QI/PortGgBTz1ldjTmcXU19l8L\nCDDmktWpY14s334L16/Dxx8/tLiKu7s748ePp2PHjqxYsYKdO3eyf/9+Dhw4wJeJhf78k8qaRus3\n3qBUqVLcvn2bvXv3sn//fho1akTbtm3JkSMHtWrVIls2+agjspjx443n//0v66wim8FZlFJmx5Bm\noaGhysfHx+wwHik+Pp7ixYsTHx/PhQsXZFnyTCA0NJTHtbf4+HjeeustFixYQIMGDdi4cWO653kd\nPnyYDh06oOs6c+fOpWfPnum6nsg4ntTeRCoNGwaffw7LlhkrjmVlmzYZQxcHDjQ2iU3g0DZ365ax\n7cCNG8aiHYULP7b4vXv32LdvHz/99BP3/viD8AULCLFYiPvXZ5js2bNz7969pJ8bNmzI2rVryZ6V\nVtPMIOQeZye6Ds89B1WqwIEDkpAlSGhvTvuXIV8b2cm+ffu4dOkSb7/9tiRjWYSLiwvz5s3j1q1b\nrFq1igEDBjBz5kwsabgZnj17lrFjx/LNN98QHR3NoEGD6NGjhx2iFiILiI83VhjLnRtatjQ7GvM1\nbAj58sGKFfDVV2DGnNTPPoOLF2HUqCcmY2AkWg0aNKBBgwbGlgVhYVwKC+PQwoX8ff8+uXLloly5\ncpQvX57169dz8OBBdu3axZYtW2jbti1BQUGSlInMLzIS3nrL+D8yYoQkYxmIzCGzk+DgYADatGlj\nciTCkbJly8bChQupVKkSs2fPZubMmak6XynFzJkzKV++PLNmzaJEiRKEhITwxRdfyEIeQqTVTz/B\n2bPQvn3W2ncsOW5uxuaw584ZfzeOdu4cfPkllCgBgwen/nyLBfr3p0h8PK8cOcLbb79Nx44dqVix\nItmyZaNVq1Z8/PHHrF27lqZNm7Jx40ZeffVVIiMjbf9ehHAG8fGwbh3Uqwd798LrrxtDk0WGIZ/w\n7EApxapVq8iRIweNGjUyOxzhYDly5CAkJIRChQoxYMAAtqVweem4uDj8/f3p27cvrq6uzJkzB13X\nZVEYIdJr7VrjWT6g/KNbN+N56lTH171okbFS4kcfgZdX2q7RubOxOMncucluFO3h4cGqVavo2LEj\nu3btokWLFkRHR6cjcCGc0P370KyZMT/28GF45x1jFVL5EjdDkX8tOzh69CgnTpygadOmeHp6mh2O\nMBnz/lsAACAASURBVEGpUqUICgrCxcWFNm3asDbxA2EylFK89dZbzJkzhypVqnDkyBF69eolk9GF\nsIX168HT0xiqJwy+vlC5sjFs8cGNlx1hyRKjly49c/myZ4eePY19ypYuTbaYh4cHS5YsoWPHjuzZ\ns4eBAwemvU4hnE1MDHTqZMwLbdwYfvsNZswwFu8RGYokZHaQuLqiDFfM2urUqcPixYuJjo6mZcuW\nzJkzJ9my8+fPZ+HChdSsWZPt27dTvHhxB0YqRCb211/Gt8YNGqS9NyYzsljggw+MoU5Tpjiu3t9/\nh7Aw4xv9/PnTd6133jF6AaZONebMJMPV1ZVvvvmGihUrMmvWLNasWZO+eoVwBvHxxnyxkBDjy6Y1\na4wvWUSGJAmZHQQHB5MtWzaaNWtmdijCZB06dGDPnj0UKlSId999l/379/+nzM6dOxkwYAB58uRh\n2bJl5MmTx4RIhcik1q83nps3NzcOZ/Taa8Y8rmnTIIVDq9NtyRLj+fXX03+tUqWMuXC//mrMm3mM\nHDlyEBgYiKurK4MGDZKhiyLje+89Y7GiWrWMpExGZGVokpDZWFhYGKGhoTRu3Ji8efOaHY5wAlWr\nVmXJkiXExsbStm1bli1bRkBAAJ06dcLX1xdfX1/u3r3LnDlzKFWqlNnhCpG5SEKWPHd3CAw0esva\nt8f97Fn71hcZCXPmQJ48tlvtsn9/43n69CcWLV++PO+88w7Hjx/n66+/tk39QpghMNDoGa5QwbjH\n5cxpdkQinSQhs7Fp06YB4O/vb3Ikwpk0btyYiRMncuHCBTp16kSvXr1YtmwZO3fuxMfHh71799Ix\nq++NJIStxcTA9u2gaeDtbXY0zqlOHZg1C65fp+SXXz65fHp89hlcvWrsCWer1S59faF8eVi+HC5d\nemLxTz75hPz58zNs2DCWLVtmmxiEcKSTJ6F3byMJW7nS2MJCZHh2WzFA07SSwAKgMKCAObquf/3A\n8UHARKCgruvXEl4bDvQA4oABuq5vtld89nDt2jUWLVqEt7c3LVq0+H/27ju+yep74PinBcoG2aKI\nCMgVFJQhGwuyZcveX9zg4OdCxY0bEDcu9IuAoIIs2XvKEpQhelX2VDYUGS3N74+TfKnYkaRJn4zz\nfr3yumma58kBSprz3HPPdTocFWIeffRR2rZty0cffUSRIkXo0qULV155Jbly5fJrrzKlVAbWrIGE\nBGja1OlIQlu/fjBmDJctXSoJbKNGgX+NnTtlE+qrrpINqQMlJgbuv19un34KzzyT7tOLFCnCjBkz\naNGiBT169KBo0aLaDVmFl//7P3lfGzNGNldXAWGM2QmcRHKQRGttTWPMC8BdwCH3056y1s4JxusH\nc4YsEXjYWns9UBu43xhTEf6XrDUFdnmebIypBHQFKgEtgJHGmLCawfvkk084c+bM/9qWK3Wpa6+9\nljfffJPBgwdTvnx5cufOrcmYUsGyYIGMTZo4G0eoi4mB4cPl/kMPwdGjgT2/yyVX9M+dg9deC/xe\ncL17Q/78kpAlJ2f49Dp16jB79mwA7r//fl1PpsLHvHmyjUfDhtCrl9PRRBoX0NBaW9VaWzPFYyPc\nj1UNVjIGQUzIrLUHrbU/ue8nAL8AntZxI4BBlxzSDphgrU201u4E/gBqEib+/PNPXnvtNQoVKsRd\nd93ldDhKKaUWLJAufA0bOh1J6KtRg786d5YuiHXrwo4dgTv3Z5/B/PnQsmVgmnlcKn9+uP126ai5\nerVXh9StW5f+/ftjrdX1ZCo8JCfDo4/KBZS33pJRBVpqf6lZ8hedJTNQxpgyQFVgjTGmHbDXWrvp\nkqddAaRcUbwXuDIr4guEwYMHc/LkSV566SUKaT2vUko56+RJ+XBes6Y0kVAZ2vP44/D442At1KkD\nP/yQ+ZOePAmDBkGBAtLQI1gfIrt1kzGdPckuNWTIEIoUKcJLL73E8ePHgxOXUoEyebJcMOnTR9vb\nB4cLWGCM+cEYc3eKxx80xmw0xnxmjAlat74YVzp7dwSCMSYfsAR4GZgHLAaaWmtPGmN2ADWstUeM\nMe8Bq621X7qPGwXMstZOTuvc69evD27wXtqxYwddunShXLlyjBs3TjfzVUoppcLA6NGjef/997n/\n/vvp16+f0+EopYKoevXqaV4RMsaUtNYeMMYUA+YDDwKWi+vHXgJKWmvvDEZsQc0cjDE5gG+Bcdba\nqcaYykAZYKMxBqAUsN4YUwvYB1yV4vBS7sfSVb169UCH7bNPPvkEl8vFG2+8Qa1atZwORwXJ+vXr\nQ+LnTUUH/XnLpIED4d13YckSiI93Opqw8I+fuZdfhmefhVGj4M40Pn+cPw/Tp8OZM3LFvnLlf34/\nIQGuuQaSkqSpR7BnKu+9V2bhFi6UjXK9cO211zJ27FgmTpzIsGHDyB3o9W0qTfoe54OZM6F1a9k7\n0IdZYHXR+vXr0/2+tfaAezxkjJkC1LTWLvd83z1RFLRd5YNWsmiMiQE+A7Zaa98GsNZuttaWsNZe\nY629BilLrGat/ROYDnQzxsQZY64BrgX+vYtuiDl8+DBjxoyhbNmytGvXzulwlFJKgawfy5NHSu+U\n7zxrvb79NvXvr1sHNWpA584XS6i+/16+d/68NB9o0gQOH5bkOCvKRm+/XcZ53jdoLlCgAAMGDOCv\nv/5izJgxQQpMqUw4c0Y6K8bGwuDBTkcTkYwxeYwx+d338wLNgM3GmMtTPK0DsDlYMQRzhqwe0AvY\nZIz50f3YYGvt7BTP+V/JobV2qzHmG2ArkAQMsNaGREliekaOHMnZs2cZOHCgdlZUSqlQsH8/bN0q\nTSTi4pyOJjyVLQtVq0pi+/33MhMWFwc5csDPP4NnD68775R93p54Qrq+tWgB48bBqVPy/U6d4LHH\nsibmunUhWzZYvjzj56bwwAMP8PrrrzN27FjuvffeIAWnlJ9eeAH++AMeeQSqVHE6mkhVApjirt7L\nDnxprZ1njBljjLkJyVd2AEF7gwhaQmatXUEGM3DW2rKXfP0q8GqwYgq0vXv3MmzYMIoUKaK150op\nFSq03X1gdOwIP/4I9er9+3tVq8KIERc7WB49Khs/f/ghXH019O0rCVpWlvHnzy8zdevWyayCl+WH\nV1xxBQ0bNmTx4sXs2rWLq6++OsiBKuWlTZtkS4qyZeGll5yOJmJZa3cA/+qUYq3tk1UxhNU+X6Hm\nkUceISEhgaFDh5I/f36nw1FKKQWakAVKp04y5s0Lo0fDokXSvn7VKunAmHI7gRdfhKefls1q//gD\n3nsva5MxjwYNIDFRkjIf9HCXaH6l63NUqHC54MEHpd39Bx9ICbaKWJqQ+WnYsGFMnDiROnXq8J//\n/MfpcJRSSoF8iFm0CIoVgxtucDqa8GaMJLc//SQzXo0aSZJbu7asZ0kpLk4agfTuDU52Gq5fX8YV\nK3w6rGPHjuTIkYMJEyYEISil/PDNN7BsGbRtK6XAKqJpQuajvXv3ctdddzFo0CBKlSrF6NGjib30\nF5NSSiln7NoF+/bJTIm+N2de48ZQvrzTUXjPk5D5uI6sUKFCtGzZko0bN7J169YgBKaUDxITpYFH\njhxSGqwinm6YlYrk5GR+/vlnli5dytatW9m2bRvbtm3j0KFDnDp1CpfLRaVKlZg9ezalS5d2Olyl\nlFIeK1fKmNq6JxX5SpSAChXk5yAxUT7Qeql79+5Mnz6dCRMm8JKu11FOGj0atm+HBx6AcuWcjkZl\nAU3IUti9ezdPPfUUc+fO5ciRI//4XokSJShTpgyFChWiT58+9O7dmxw+vNErpZTKApqQqaZNZc3N\n99/7tAddmzZtyJs3L+PHj2fIkCHExKS5h6xSwXP2LAwZArlyaZv7KKIJmdvkyZPp168fJ0+e5Kqr\nrqJVq1Y0bNiQatWqUbZsWW3aoZRS4WDlSvkgU7Wq05Eop7RqJQnZjBk+JWR58+alXbt2jB8/nnXr\n1lGzZs0gBqlUGt5+G/bule0iSpZ0OhqVRbTAHli+fDndunUjOTmZzz//nF27dvHFF1/Qr18/brzx\nRk3GlFIqHJw8CZs3Q82auv9YNGvUSDrSzZzp86GebotffvlloKNSKmP790tznKJFpWupihpRn5Dt\n37+f22+/HZfLxfTp0+nXr5+WKSilVDhavVq6LGq5YnTLlUu6Qf7yC2zb5tOhzZo1o1ixYowfP57z\n588HKUCl0vDkk3D6NLzyClx2mdPRqCwU9QnZuHHjOHz4MK+99hqNGjVyOhyllFL+8qwfq1vX2TiU\n81q1ktHHWbIcOXLQs2dPDh8+zOzZs4MQmFJpWL0axo6Vcus773Q6GpXFoj4hmzp1KrGxsfTr18/p\nUJRSSmWGJmTKw7Nv0+LFPh/at29fAEaPHh3AgJRKR3IyPPSQ3H/nHciWzdl4VJaL6oTswIEDrF69\nmltuuYUiRYo4HY5SSil/JSXJFeaKFaFwYaejUU4rXRquvlr2I0tO9unQm266iRtvvJEZM2Zw+PDh\nIAWoVAqTJsG6ddCtm+yhqKJOVCdk3333HS6Xi/bt2zsdilJKqczYvFnWXuj6MeVxyy1w5IisJfNR\njx49SEpK0rJFlTXee0/GF190Ng7lmKhOyKZNmwZAu3btHI5EKaVUpuj+Y+pSnpmG5ct9PrSVew3a\nTD86NSrlk40bYcUKaN5cNjVXUSlqE7KzZ8+yaNEibrjhBsqUKeN0OEoppTJDEzJ1qVtukXHZMp8P\nrVSpEqVLl2bu3LkkJSUFODClUvjgAxkfeMDZOJSjojYhW7VqFWfPnqVp06ZOh6KUUiozXC5JyIoV\ng/LlnY5GhYoKFaB4cUnIXC6fDo2JiaFVq1YcP36cVatWBSlAFfX+/hvGj4cyZaBlS6ejUQ6K2oRs\n4cKFADRu3NjhSJSKYBcuwLRp0LUrvPoqnDnjdEQqEm3ZAnv2QHw86D6SyiMmRmbJ9u2DHTt8PlzL\nFlXQzZwpa1979NDOilEuahOyBQsWkD17dm7xlDQopQLr11+l/Xj79vDNN/D003D99fDXX05HpiLN\nhAkydu3qbBwq9GRiHVmjRo3IlSuXJmQqeL7+WkZ974p6UZmQnThxgnXr1lGrVi3y58/vdDhKRZ71\n66FaNVi7Vn7RrF4N99wjV6mHD3c6OhVJXC746ivIl+/iZsBKeWRiHVmePHlo1KgRW7ZsYffu3QEO\nTEW9hASZIbvuOqhc2elolMOiMiFbsmQJycnJWq6oVDCcPw/9+kl54rhx8mG5Vi3Z7LJkSRg5UlpR\nKxUIa9dKot++PeTO7XQ0KtRUrgwFC/qVkIGWLaog+u47OHtWLlpqqXXUi8qEzLN+rEmTJg5HolSE\nOX8eBg2SPaHuvht69rz4vVy55HunT8NbbzkXo4osEyfK2K2bs3Go0JQtG9SvD3/8AQcO+Hy4JyGb\nNWtWoCNT0W7qVBk7dXI2DhUSojIhW7BgAXny5KFWrVpOh6JUZHj3XWjbFoyRmbDSpWHYsH8/7557\noEQJePttvz4cKfUvCxZIsq8VDyotmVhHVqZMGSpVqsTChQs5o02JVKCcPw+zZ0PZsrK2WkW9qEvI\n9u/fzy+//EJ8fDxxcXFOh6NU+PviCxg4UMov9u+HBx+UNWQFC/77uXnywJAhMkv2/PNZH6uKLIcO\nyaaq9epJUqZUajzryJYu9evwVq1acebMGebMmRPAoFRUW7IETp2SC5larqiIwoRM290rFUC//goD\nBkCBArB1q+yp8u67ULRo2sfccQdUqgSffQa//JJ1sarIs2SJjLfe6mgYKsRVry7rC/1cR9anTx8A\n3nvvvUBGpaLZ9Okytm3rbBwqZGhCppTy39NPSxI2ahRUrOjdPirZs8vsWHKyzK4p5a9Fi2TUhEyl\nJy5OZlG3bJFZVR/dcMMNNG7cmMWLF7Np06YgBKiiisslCdlll8n6RqWIsoTM5XKxcOFCihYtSpUq\nVZwOR6nw9vvvMGUK3Hyz74uS27SB/PmlA6PLFZz4VORbtEh+jmrUcDoSFeoaNpTRz1mygQMHAvDO\nO+8EKCAVtVavlo3sW7eGHDmcjkaFiKhKyPbv38/evXupX78+sbFR9UdXKvDefFOSqccf970GPndu\n6NABdu2SX05K+WrvXvjtN1kflD2709GoUBcfL2Mm1pEZYxg9ejTr168PYGAq6owbJ2OvXs7GoUJK\nVGUlP/74IwDVqlVzOBKlwtyaNTB6tHSIuv12/87haVP+1VcBC0tFkcWLZdRyReWNm2+WC0GedYc+\nio2N5f333yc5OZm7776bpKSkwManosP58/D119JtWJfOqBQ0IVNK+eaXX+C22yApSRp4eLNuLDVN\nmkDhwjBpkpYtKt/p+jHli5w5oW5d2SPx8GG/TtGkSRP69u3Ljz/+yMiRIwMcoIoKc+fCkSPQvbvO\n7Kt/iMqErGrVqg5HolSYcrlkL7GjR+HTT8G9aapfcuSAFi2kVf6WLYGLUUU+l0sSssKFQdcDK295\nyhb9XEcGMGzYMPLnz89LL73EyZMnAxSYihparqjSEFUJ2YYNGyhevDglS5Z0OhSlwtOSJbBihTTl\n6Ncv8+dr0UJG3d9H+WL7dti9Gxo1Al0PrLzlaezh5zoygGLFijFo0CAOHz7M8OHDAxOXig4nTkh3\nxeuuA63UUpeImt9kR48eZdeuXVSrVo0Y3YRPKf8MGSLjs88G5nzNmsk4d25gzqeig5YrKn/UrCkb\niPu5jszj4YcfpkSJEgwfPpzffvstMLGpyDd5Mpw9K7Nj+jlUXSJqErKffvoJ0HJFpfy2caN8kGnR\nQhbIB0KJElC1KixfDqdPB+acKvLNni2jJmTKFzlzQp06sGmTrOPxU968eXn33Xc5c+YMffv21QYf\nyjuecsUePZyNQ4WkqEnINmzYAGhCppTfPB+C+/QJ7HmbN5fOU56ueSr0uFxSVhofDw89JKU3Ttm5\nU8p+qlQBY5yLQ4UnT9ni8uWZOk2XLl3o3r07q1ev5r333st8XCqy7d8vv+Pq14drrnE6GhWCoiYh\n27hxIwA33XSTw5EoFabmzpUyi6ZNA3vetm1l/OKLwJ5XBcbOndK8pWVLaYbw3ntw/fXw66/OxPPW\nW3Dhgn/73ynlScgyWbYI8P7775M/f36GDh3K2bNnM30+FcFmzpQLW506OR2JClFRk5Bt3ryZPHny\nUK5cOadDUSr8JCTAypWyELlo0cCeu3Ztme2YMgX27QvsuVXm7NoFN94os6ONG8PatfDcc/Lv1KqV\n3+3D/XbsGHz2GZQqBV27Zu1rq8hQs6aULmai06JH4cKF6d+/PwcPHmTMmDEBCE5FrFmzZMxMZ2IV\n0aIiIUtMTGTr1q3ccMMNxGpHLqV8t2QJJCZKeWGgxcTA/ffLrMcnnwT+/Mp/o0bByZPw6qswf76s\nHXzxRXj6ael0WL06vPIK/P131sTz+eey1vChh2TbBKV8lSuXXFjatAnOnMn06f7v//6PuLg4hg4d\nyt9Z9f9AhZdz5+T9s0IFKF/e6WhUiIqK7OS3334jMTGRypUrOx2KUuHJ0wXR0xUx0Hr2hIIFJSHT\nBfKh4cIFKSPNnx8GDvxneeCQIfDYYzJD9swzctU3ISG48SQnw4cfygfqO+8M7mupyFazpvx8u/cm\nzYySJUty7733sm3bNtq3b6+li+rfPE2rbrvN6UhUCIuKhGzz5s0AmpAp5a9lyyB3bulQFgx580pS\ndvAgLFgQnNdQvlm4EPbsgW7dIE+ef34vNhaGDYMDB6BjR5lBve22gMw4pGnBAti2TeIpXDh4r6Mi\nn6dL7Nq1ATnd8OHDadOmDfPnz6dbt25cuHAhIOdVEWLmTBm1XFGlIyoSsk2bNgFQpUoVhyNRKgyd\nOwdbt8o6r7i44L1Oz54yfvll8F5Dee+//5UxvQ3ACxSAr76Czp3lKnDHjrK2Kz4efv89sPF4OtkN\nGBDY86roU7OmjAFKyOLi4pg4cSKNGzdm2rRpPPnkkwE5r4oAycnw7bfyXtmggdPRqBAWFQmZzpAp\nlQk//yxlhMHeMqJOHWkHPGXKxTVJLpe8/nffyX2VNf7+W1rLly8vTVfSkz07jB0LTZpI849vvpEZ\n1Ro1ZN1EICxcCDNmQL16gdsDT0Wv8uXhsstg3bqAnTJnzpxMnDgRYwzDhw9n0qRJATu3CmMrVkil\nQceO0kxGqTRERUK2adMmSpYsSdFAd4dTKhp41lkEOyGLiZENM0+fhsmT4ehRqFULbrhBWuN7NtVU\nwTdnjiRlnTt711o+Z075N3vhBSktHDNGZlbbt8/cLMTp07B588U1bO+84/+5lPKIiZFZsj/+kPeZ\nAClUqBDTpk0jd+7c3HvvvRw4cCBg51ZhylPx4akAUSoNEZ+QnThxgt27d+vsmFL+yqqEDGTT6WzZ\npItehw5yBbtZM+mo9+KL0ulRBd/EiTL6smdO/vzw/PPSHr93b/j6azh7VtZN7Nrlewy//iozGVWq\nyCzpXXdJV0elAsFTtrhmTUBPa4xh6NChHD16lK5du3LCyU3UlbPOnZP30pIlL+5/p1QaIj4h27Jl\nC6Dlikr57ccfJUm64Ybgv1aFCtLa/NgxKXtr0UL2b7n7bmnooHv9BN+ZM1IeWLZs5pLwdu1k3dfh\nw7Ku7Px5749du1ZKIA8elOTulVfgzTf9j0WpSzVqJOO0aQE/9YABA+jcuTPLly+nQYMGjBkzhr/+\n+ivgr6NC3MyZ8ruse3f5HapUOiI+IdOGHkplQnIybNwI110nXRazQp8+8PHHUqb45Zfyi2zwYCmL\ne/11XUsWbPPmSQv7Tp28K1dMT//+0KuXzEK0bQuLFkm78dRcuCDr1uLjpVR13z4YPlyS8MGDZQZO\nqUC55RYoXlwaLni71Ya1MHWq/JzOmCEzt6mIjY1lwoQJDBgwgM2bN9O3b1/Kly/P2LFjcen7V/T4\n7DMZ//MfR8NQ4SHiEzJt6KFUJvzxh6zjyYpyxZTuuUeuXHvam195JXTpIvEsXZq1sUQbT7li586Z\nP1dMDHz0kTTjmDtXyhlLlpREbd06mX397DOZQSteXGbVli2TDcgXLIBHH818DEqlJnt2uehw+DAs\nXpz+c8+ckZ/FSpWklLpdO2jTRqoGWreG3bv/dUi2bNn44IMP2LhxI6+99houl4s+ffrQo0cPjh8/\nHqQ/lAoZe/fKWtxatUA/fyovRHxCtmnTJrJly0bFihWdDkWp8PPTTzLedJOzcYCsIQIYNcrZOCLZ\nuXNy9b9MmcCt18qbV1riL18u/4axsZKk1awJ1arJY998I8+77z5p4jFnjiRvSgVT164yfvVV2s9J\nTJQOeSNGSBfYYcPk/tCh0sZ85kz5uU1DlSpVePLJJ9m4cSN16tThq6++onr16hw6dCjAfxgVUkaP\nlgoTz+8tpTKQ3ekAgsnlcrFlyxYqVKhArly5nA5HqfDjnmEmFEp+GzSQNWaTJsnapEKFnI4o8syb\nB6dOwb33Zr5cMaWYGKhfX24XLsiH2KlTIV8+uPZaaNoUjAnsayqVkfr1oVQpWbd65ow0EypXTlqV\nnz8vFygmTZLtHFq0kE6iKUu3H3tM1qLNni3rHj2NQlJRtmxZli1bxhNPPMGIESPo1q0bc+fOJXv2\niP4YFp1cLtnHMW/ei0m/UhkI2juBMeYqYAxQHHABn1hr3zXGDANaA+eBbUA/a+0J9zFPAXcAF4CH\nrLXzMhPDnj17OHHiBM2bN8/MaZSKXu6mOCFRchETI1cbBw2SRg+TJoFeaAksz95JvnRX9FW2bLKe\nrG3b4L2GUt6IjZV9D++7DyZMkFtqatWS/xuXrqONiZGtHho1ki6wM2em+3LZs2dn2LBhbNu2jWnT\npvHyyy/zwgsvBOSPokLI2rWwfbu0ute1r2HDGLMTOInkIInW2prGmMLA18DVwE6gi7U2KDXHwSxZ\nTAQettZeD9QG7jfGVATmAddba28EfgOeAjDGVAK6ApWAFsBIY0ym4tOGHkpl0ubNUKQIlCjhdCTi\ngQekDf7MmTJu3+50RJHj7FlZt1e6dLpX+pWKKDVqyAfoGTOkoVDz5vDyy/DBBzBy5MVy27x5Uz++\nYUNpEDJrlmxgnoHY2Fi++OILrrzySl5//XV27twZ0D+OCgHjx8vYvbuzcShfuYCG1tqq1lrPL8En\ngfnW2grAQvfXQRG0hMxae9Ba+5P7fgLwC3CFtXa+tTbZ/bQ1QCn3/XbABGttorV2J/AHkKlPBdrQ\nQ6lMOH1aEp7KlUOnlCx3blnj1LGjfEi64QavPgQpL3z3HZw4IZtzh8q/t1JZITZW9sv74gtZv/j0\n0zBggDSfqV9f9kFMz1tvyTnuu09KHzNQsGBB3njjDc6dO8egQYMC9IdQIeHCBVkTW7iwlGKrcHPp\nL7+2wBfu+18A7YP1wlnS1MMYUwaoiiRgKd0BzHLfvwLYm+J7e4ErM/O6mpAplQlbt0otfFbsP+aL\nnDmlE+C4cfLh59VXnY4oMowbJ2OvXs7GoVS4qVYNBg6ULrBevh/16NGD2rVrM3HiRL788ssgB6iy\nzOLFsn9ip04QF+d0NMo3LmCBMeYHY8zd7sdKWGv/dN//EwhauVBMsPfEMMbkA5YAL1trp6Z4/Gmg\nmrW2o/vr94DV1tov3V+PAmZZayende7169enG3yfPn34/fffWblyJbGxEd9QUimllFJhYseOHfTr\n149z584xYsQI6tSp43RISkW06tWrp1n+YYwpaa09YIwpBswHHgSmW2sLpXjOUWtt4WDEFtT2PsaY\nHMC3wLhLkrH/ALcBKfsa7wOuSvF1Kfdj6aqeTmvmP//8k7Jly3LzzTf7FrhSqVi/fn26P28R55FH\npBRn5UqoW9fpaFI3ejT06ycL659/3uloAipLf94++kjKs958U/7dVVSKuve4QPvuO2lWU6+e7KeX\nwYXg6tWrU6hQIVq0aMGDDz5I69ateeWVV6Jm3XvE/bytWiW/K2+9VUvpQ9D69evT/b619oB7ZYv3\nTwAAIABJREFUPGSMmYIsm/rTGHO5tfagMaYk8Few4gvatJExJgb4DNhqrX07xeMtgMeBdtbasykO\nmQ50M8bEGWOuAa4F1vr7+idOnODIkSOUK1fO31MoFd08HRavv97ZONLTqZMstv/vf2XPF+WfadNk\nDGZ3RaUiXZs2sr515Up4/32vDmncuDHLly+nQYMGzJgxgxtvvJH77ruPxMTEIAerAm7IEBkj7OJg\nNDDG5DHG5Hffzws0AzYjuUlf99P6AlNTP0PmBbOOrx7QC2hkjPnRfWsJvAfkA+a7HxsJYK3dCnwD\nbAVmAwOstX7XU253d18rW7Zs5v4USkWrn3+Gq66CggWdjiRt+fJBly6waxcsWeJ0NOHp1ClYtEg2\n/y5d2ulolApv778PRYvCE0/IOlwv1K5dm6VLlzJnzhwqV67Mxx9/TOfOnTl79mzGB6vQYK00hLnl\nFrmpcFMCWG6M+QnpdzHDvfXW60BTY8xvwK3ur4MiaCWL1toVpJ7wXZvOMa8CAVmhrwmZUpmQkAD7\n90OTJk5HkrF+/WSG7L//lVIR5Zv582UT3DZtnI5EqfB3+eXwySdw++2yb+LKlV51LY2JiaF58+bU\nq1eP9u3bM23aNJo0acLUqVMpWrRoFgSuMuWzz2Ts39/ZOJRfrLU7gJtSefwokCUfhCK204UmZEpl\nwu+/y1ihgrNxeKN+fShfHr79Vtq2K99Mny6jbtSsVGB06ADt28uaojlzfDo0X758zJgxg65du7Jy\n5Upq167Nb7/9FqRAVUAkJsqWCYULy7+7Un6I2IRs27ZtgCZkSvnF8wEgHBKymBiZJTtzBr7+2ulo\nwktSkmyyfcUV0rpbKRUYL74o4/PPy/YhPsiVKxfjx4/n6aefZtu2bdSuXTvDhgTKQTNmwF9/Qe/e\nkCuX09GoMBWxCZnOkCmVCeE0QwbQp4+M33zjbBzhZuFCOHxYrurq1iBKBU6VKtC5M6xbB3Pn+nx4\nbGwsL7/8Mp9//jnHjh3jEe1+GrpGjZLxzjudjUOFtYj9Dbx9+3ZKlChB3rx5nQ5FqfDjmSG7Ns0l\nn6GlVCm4+WZYuhSOH3c6mvChm0ErFTxPPinjxx/7fYp+/frRokULli1bxpo1awIUmAqYPXukLLVW\nLahc2eloVBiLyIQsKSmJXbt26eyYUv767TfInh3KlHE6Eu+1bSsleD6u2Yhap0/DlClQtizUru10\nNEpFnmrV5Pbdd3DggN+nGTRoEADDhg0LVGQqUEaPli1XdHZMZVJEJmR79uwhKSlJEzKl/PX771Cu\nnCRl4cLTlMLTpEKlb/p0Scp69vSqC5xSyg933w0XLkgXWD81bNiQGjVqMHnyZObPnx/A4FSmXLgA\nn38ue2F26+Z0NCrMRWRCtnPnTgDKhNPVfaVCxZEjcPRo+Kwf86hcGa6+GmbNkq5XKn2ezaD1g4RS\nwdOjB+TJI63w/XxfiomJ4f333ydHjhx07dr1f03LlMMmTICdO6F7d8if3+loVJiLyITs4MGDAFx5\n5ZUOR6JUGAqnDospxcTIXlonTsjePyptLpdspF2yJFSs6HQ0SkWuAgXgjjtk8/rRo/0+Ta1atfjw\nww85duwYPXr04MKFC4GLUfnu/Hl47jmIi4Onn3Y6GhUBIjIhO+Cu1b788ssdjkSpMOTpsBguDT1S\natFCRi3rSZ+18Oef0LChlisqFWyDB0s79CFD4OxZv09zxx130KNHD9auXcu7774bwACVz0aNgh07\nZCNorcZSARCRCZlnhkwTMqX8YK2M4TZDBhAfDzlywLx5TkcS2pYskbFhQyejUCo6lCwJDzwAe/fC\nmDGZOtXbb79N0aJFefrpp/n5558DFKDyyfnz8NprUoo6eLDT0agIoQmZUuqffv1VxuuuczYOf+TL\nB3Xrwvr1shZOpc6TkMXHOxqGUlHjgQdk/O67TJ2mWLFifPTRR5w5c4ZWrVrx559/BiA45ZNx4yS5\nvvdeKF7c6WhUhNCETCn1T9bKAuVw/f/TrJmskVq40OlIQpPLJfu1XX55eM6CKhWOrr4ajIHFi2WG\nJRM6duzIiy++yK5du7jttts4rnsvZp0LF+CNN6QSQzfrVgEUsQlZwYIFyZ07t9OhKBVeLlyAP/6Q\nDw7huraoWTMZ5851No5QtWULHDyo68eUymrNm8tWE99/n+lTPfvss9x5551s2LCBli1bcvLkyQAE\nqDK0ZIk0vurdG0qVcjoaFUF8TsiMMVcZY54NRjCBcvDgQZ0dU8ofu3bBuXOSkIWratVkzcakSfLh\nR/3TpEkytmvnbBxKRRvPxaIArHGNiYnh448/pnfv3qxevZpWrVqRkJCQ6fOqDMyaJWPXrs7GoSKO\nVwmZMSbOGNPNGDMP2AiUCWpUmZCYmMihQ4c0IVPKH+G8fswjNhbuuQdOnoTx452OJvRMnCgd31q3\ndjoSpaKLp+lQgGbvs2XLxueff07Xrl1ZsWIFDRo0YPz48SQlJQXk/CoVc+ZIM49bbnE6EhUmjDFe\nleulm5AZY6oZY94H9gL/AW4CSlpr78x0hEHy119/AVCyZEmHI1EqDHk6LIbzDBnA3XdDtmwwcqSs\nmVLi55/hl1+gZUtpgKKUyjr58kH9+rBhAxw6FJBTZs+enbFjx9K3b19++uknevbsSdOmTf/3WUgF\n0O7dsHUrNGokF7WUSocxpq4xZhSw35vnp5mQGWN+BP4L7ARutNa2AE5ba88FItBg0YYeSmVCpCRk\nV14J7dvDTz/B6tVORxM6POWKnTs7G4dS0cpTtrhgQcBOmSNHDkaPHs3vv/9O+/btWbJkCTfffDPW\n836uAmPOHBk9+10qdQljTAljzCBjzC/AIuAPZDIrQ+nNkJ0HcgJxQPZMR5lFNCFTKhOslUYP4bgp\n9KXuv1/GDz5wNo5QMmkS5Myp5YpKOaV5cxmD0HSofPnyfPvtt7z44ovs3r2bBg0asGHDhoC/TtSa\nPVvGli2djUOFHGNMe2PMdGATsqzrDuCAtfZ1a+0ub86RZkJmra0FdASKAGuNMYuBfMaYvJmOPIg0\nIVMqE379VdozR0KH0oYNZS3cxImg5Tvyb7tli1zdzZ/f6WiUik433gjFikljjyCUU8fGxvLcc8/x\n0UcfcfjwYRo1asSyZ5+VMm7PDLny3fnzMqtZvjyUK+d0NCr0TAbOARWstQOstat8PUG6a8istT9b\nax8FSgPvAquB/caYCf5EmxU8CZmuIVPKRydPSjv0cC9X9IiJgQED5Bfp55/LY2++CZ06BaTtdNj5\n9lsZO3VyNg6lollsrJQtHjggazqD5N5772XCp5/y96lTtHj5ZfaNGgW9eslFGeW777+HhASdHVNp\naeUefzfGjDLGxPt6Aq+6LFprE621U6y1bQAD/OjrC2WVAwcOADpDppTPImX9WEp9+kDevDB8OHz0\nETz2mCQm9erJh6JoWl82aZJ0eGvTxulIlIpuWbFX4qlTdP3gA4a5XJwBJnXsKFua9Oolo/KNliuq\ndFhrZ1trOwMVgc3AO8CVxpghxnj3oSq9ph6VUrsBhYEZgfgDBIOWLCrlp0hMyAoWhLfegiNHoH9/\n6bz4ySfQpAnMny8dzzZudDrK4Nu2TRqcNG0qfydKKec0by4z+FOnBuf8LhfceSf8+CNdu3cnJiaG\nyYcOSdnixo1wxx2QnByc145Uc+bI+tt4nyc+VBSx1h6x1r5jrb0JqIMs+/KqJCe9GbItwBxgZiq3\nkE7IsmXLRpEiRZwORanwEgl7kKXm7rvh9dfl/pAh8vX8+fD113DhAgwa5Gx8WUHLFZUKHSVKyAf7\nFStgz57An//dd2XtbP36lPziC+rWrcvy5cv5c/BgqFNH9md8/PF/r2H79FNo3BjGjpVSbyX27YNN\nm2Rdcp48TkejwoS1dr219n7gCm+en173xDFAA2AKMNpaGxaFx4cPH6ZIkSJky5bN6VCUCi+ROEPm\n8cQTkogVLnzxsS5dYNQoWVw/b97FMqJINGkSZM8O7do5HYlSCqBrV1iyRBKnRx4J3Hk3bZKLTMWL\ny0WnHDno2LEjK1euZNq8edwzfbpUBowYAYcPSxIWFyfl2/37y0WqRYvgww9hxox/vmdGq/nzZdR2\n9yoNxpiJgAuISeXbLqBLRudIr8vif4AbgZ+B94wxa4wx9xtjLvMv3Kxx/PhxLrsspENUKjRZKxuX\nXuHVxZzwk9oHizfekNKhQYPSL+F59lm4/np45pnw69i4axesWwe33qofrpQKFR07Sgn1118H7pye\nNWKeRkbu9/IOHToAMGHCBChaFJYtg5o1YcwYaNVKEo7u3eU9cNw42adw1SqZxdvv1Z62kW3pUhkb\nNXI2DhXKOgJlgVVIFeEM/llZmKGMuiwmWGv/a61tBLwIvADck4mAg8rlcnHs2DEKFSrkdChKhZcL\nF+D336FCBUlQokXVqvIBZuNG+PLL1J8zYwa8/DJs3QqvvCIzaWfOZG2cmeEpV+zY0dk4lFIXFSsm\n5YFr18L27YE55+efw+bNcM89kmi5lSlThltvvZUlS5awefNmmT1bvBjatpVW7s2awc6d8MIL0LMn\nfPUVPPigdGSsVw/Wrw9Ki/6wsWwZXHYZVK7sdCQqdJVDEq97gDbAYWCstXa0tfYLb06QbkJmjLnM\nGNPfGLMKeNx9C9ldVs+ePcv58+d1hkwpX+3eDWfPRt76MW+89JIs1h48GL77ThLTAwdkG4Bvv4V+\n/eT7q1fDf/4jydtDDzkdtfcmT5ZW2+3bOx2JUiqlrl1l/OabzJ8rOVkaGMXFwYsv/uvbAwcOBOCd\nd96RB/LkkfeGJ56ADh1g+XJ47jn5XmwsvPOOnGfnTqhRQ2bbvvsu83GGm717JWFu0ED+XpRKhbV2\nh7X2eaTL4gdAZ+BXY0xrb8+RXpfFb5DOIMWBHtbaRu5M73Qm4w6aY8eOAegMmVK+iuT1Yxm5+mpp\nh793r1wxrlBBPnwULChNMI4ckUXytWrJuoqbbpK1Z+Gwn8+ZM3IFvnp1uSqulAodHTrIVhSBKFuc\nOVMuJvXsCal0mW7VqhXlypVj3LhxHDp0SB7Mlk0aHk2eLOvKUoqJkQRtyhQ554kTclHn008zH2s4\n8ZQrandF5b2cQC4g0X3zSnrpfickGXsAWGuMOZTiFpKLKDwJmc6QKeWjaE7IQGbJFi2Skp277oJu\n3aB1a1nk/ssvUgIEkCsX3Hef3F+zxrFwvbZuHSQmStmRUiq0FCokLfB/+unie7C/hg+XMY0GIdmy\nZWPAgAGcO3eOSZMmeX/e9u1lXdmSJVCkCAwYAH/8kblYw8myZTLecouzcaiQ5t4a7A3gV6Ab8JG1\ntpK11uvNBtPrslg2swFmtePHjwM6Q6aUz37/XcYKFZyNwykxMbJg25tF29Wry7h+vez1E8pWrpRR\nEzKlQlPXrrJO9auv4Pnn/TvHsmVya9kSbrghzad16tSJRx99lClTptC/f3/fXqNmTfjgA+lO+9RT\n0h0y0iUnw8KF0uyqalWno1GhbQuwAfgcSACud+/dHAO4rLUjMzpBmgmZtXZngILMMlqyqJSfdu2S\nsUwZR8MIC5UrS5nRhg1OR5IxTciUCm1t20LevPDRR/Doo/Lh31eeNWOeNWBpKF26NNWrV2fx4sX+\nNUDr1ElKtydNkveWSH9fmT4dtm2Txk/Z05u/UIoxSHt7vxfiR9RPmGeGTEsWlfLR7t2QP790klLp\ny5lTrkJv3AhJSaH7izo5WVpXX3MNlCzpdDRKqdQUKCCJ2JAhsjdYBknVv6xcKeXWzZpB7doZPr1D\nhw6sX7+eWbNm0bNnT99eKyYG3nxTGlx07y5VAsWK+XaOcOFySXfdmBhp+KRUOtxbhWVKRLWM0Rky\npfy0axeULh1dLe8zo3p16Uq5davTkaTNWjh6FOrWdToSpVR6HntMmu4MHQq//urbsW+8IeOzz3r1\n9PbubqtTpkzx7XU86tWTNbd79sDtt0tH2kg0d64knJ06QcWKTkejokBEJmQ6Q6aUD06ckNvVVzsd\nSfioVk3G9eudjSM9nsXokV5WpFS4y59fuh2ePi1rtTx7B2bkl1+kFX2dOv/ukpiGSpUqce211zJ7\n9mzO+Luf4lNPyebRK1ZIsuJLk5Bw8eabMursmMoiGSZkxphYY8xd7u4hGGPKGGNC8pKrNvVQyg97\n9shYurSzcYSTlI09QtXs2TI2bepsHEqpjPXrB+PHw4ULMivz0EMyE9Wnj8xELV7872NGjJDxsce8\nfpmYmBg6dOjA33//zYIFC/yLNTZWmpCMHCnxduki+5ZFiq1bZcPshg1lmxOlsoA3M2QjgMZAO/fX\nCUBI/s/TGTKl/OBp6KEJmfeqVJHGHqHa+v7cOekOVqEClC/vdDRKKW907y7vKRUqwHvvyXqysWNl\nL7BWrSRJ2L9ftrKYOBE+/1z+f7drl/G5U+jQoQOQibJFkKSsf3+ZJbv8cvi//7u4Z1e4e/ddGR96\nyNk4VNgyxvi8uNKbhKwR0BM4A2CtPYxsehZydA2ZUn7YvVtGLVn0Xq5cUlq0YYOUe4aaFSsgIQFu\nu83pSJRSvrjhBtk/8NNPpRxx2zZJyBITZbb7yiul+VKPHtKdcfx42eDZBzVr1qRkyZJMnz6dpKSk\nzMV7440SH0gC6XJl7nxOO3ECxoyRjsNt2zodjQozxphaxphdwI/ur282xnzizbHeJGRnrbXJKV4s\nFumrH3I8JYsFCxZ0OBKlwognIdMZMt80aiSdDJcvdzqSf5s1S8aWLZ2NQynluwIFZIP61q2hbFnZ\nnHnaNCll7NJFHitUSPYvu/lmn08fGxtLu3btOHLkCCtWrMh8vLVqyQzesmUyMx/OJk2CM2dkj0kf\nE12lgLeA24BDANbadYBXCzy9Scg2G2N6AbHGmDLAh0AIfgKRGbICBQqQTf8TKeU9LVn0j2cT6dTW\ndgTb0aMwbhw8/LDsX7Rhg5QzLVokV8wnTIA8eeCWW7I+NqVU4N12m5Qpfv01bN4Mf/2Vqf/fASlb\nTGnIEBk9e6KFqzFjZOzd29k4VLiKs9b+fMlj57050JsNdB5B1pGVBNYC04FHfQovixw/flzLFZXy\n1e7dciXwiiucjiS81KkDcXGSBGWllSvlSvnBg+k/75lnpLRSKaUu0bBhQy677DImT57M22+/TUxm\ntzypVg1atIA5c2DtWinpDjc7dsgsX6NGWsKv/HXWGJPf84UxphLuJV8ZyTAhs9aeBO7yP7asc+zY\nMcqWLet0GEqFl127ZF1CqG5wHKpy55akbNkymbEqXDi4r3funLTGfuUVKZV85hnZDPann2TPseLF\nZf1GTAx06yaNAZRSKhVxcXG0adOGsWPH8sMPP3CzH6WP//LYY5KQvfmmzOSFG0+nyD59nI1DhbNX\ngbnAFcaYL4AWQC9vDszwE5gx5kngU2vtEffXRYA7rLXD/I838JKSkjh16pTOkCnli8RE6dqle1X5\n59ZbpbPYokUyaxVov/wi5YezZ0vSdeqUJM9jx14smWzQIPCvq5SKeLfffjtjx45l8uTJgUnIbr1V\nmnxMmgQ7d0pjjHDx8ceSkJUtG5z3chUVrLWzjDEWaO5+6CVr7R/eHOvNGrLunmTM/WJHkK6LIeWE\nu9OZtrxXygf798tsy1VXOR1JeGrVSsapUwN73vnzqdijB1SqJHsRbdokJTQPPyx75HiSMaWU8lOz\nZs3IkycP3377La5AdEeMiYFHH5XfKeGyL9maNdK98r77oFgxmDsX8uVzOioVpowxxYG91tqR1tqR\nwB5vW+B7k5ClJuS6ZmjLe6X8sHevjJqQ+adaNWmGMmMGnPdq3W7G3HsO5d62Ddq0kSYdR47IQv4R\nI6QDm1JKZVKePHlo2bIlv//+O1u3bg3MSbt2lfXIo0aBu/N1yBo1SioMFiyQ2b0FC3TfRpVZM/hn\njpTD/ViGvEnI/jDGPGqMiTXGZDPGPAZ4Nf2WlTwt73WGTCkf7Nsn45VXOhtHuIqJgQ4dZO+aJUsy\nf77166WtdVwcv33wAUyfLpvF6hVbpVQQ3H777QBMnjw5MCeMi5MNlRMSZC+1UJSUJDHefTfkzw/z\n50u7/ipVnI5Mhb84a+3fni+stQl4uXezNwnZQ0Br4G/gNNJf/34/ggwqnSFTyg+akGWeu300mW0f\nff489OsnHxYmTyahRo3Mx6aUUulo1aoVOXLkCFxCBnDvvXIR6Y03pCw+lCQlyb5u7713cRPuJk2c\njkpFEHfZYsr7XlUjetNlcR/QyBiTz/11gpcBXQWMAYoDLuATa+27xpjCwNfA1cBOoIu19rj7mKeA\nO4ALwEPW2nnevBZoQqaUXzQhy7z69WXtwTffyAcQf0sKX39dyhLvuUe6J65fH9g4lVLqEgULFqRJ\nkybMnj2b7du3B6ZT9WWXwauvyixU794wb17obLI8cCDMnCnrxr79VmbIlHIzxmQDfkDWgbUxxryA\ndJo/5H7KU9baOemc4l1gpbvDYgzQB3jNm9dOM2szxlzjHiu5++iXBkqn+DojicDD1trrgdrA/caY\nisCTwHxrbQVgoftrT6/+rkAlpE3kSGOM12vcTp48CUABXV+hlPc0Icu8bNnkl/zRo/4vZN++XT7A\nXHEFDB0a2PiUUiodnrLFgG0SDfDAA9C2rXSg/eCDwJ03M95/H0aOhMqVNRlTaRkIbEUmknCPI6y1\nVd239JIxrLWfA3cDBYH8wF3uxzKUXsLzvnucBcxM5ZYua+1Ba+1P7vsJwC/AlUBb4Av3074A2rvv\ntwMmWGsTrbU7kXVqXu8sePr0aQDy6VoLpby3bx/ExsLllzsdSXgbOBCKFoXhwyUx89Ujj8g+Y8OH\nQ8GCgY9PKaXS0Lp1awDmzfO6KCljMTHSNKNQIXj2Wfjzz8Cd2x9z5sj7dPHi8N13moypfzHGlEKW\nZY1CZrdwjz7tmm6tXWKtfdxaO8hau9Tb49IsWbTWuvs5c5OnpNBfxpgyQFVgDVDCWuv5n/knUMJ9\n/wpgdYrD9iIJnFcSEqSSUhMypXywdy+UKKGbQmdWvnzw1FPS8nnIEHj7be+PXbIEpk2DW26RDZ2V\nUioLXX755VSqVInly5dz7tw5cub0qgdBxooVk207HnhA3h8/92qiIPAOH4YePSBHDnmvvfpqZ+JQ\noe4t4HEgZamdC3jQGNMHKWV8NLWcyBgz1Fo7yBgzMZXzuqy1XTJ68XRLAt0lg99ndJIMzpEP+BYY\naK09lfJ71loXF6cFU+P1xhiehCxv3rx+RKlUFHK5ZMG1lisGxv33S8vk99+XtWDeeuUVGYcNk6vK\nSimVxRo3bsyZM2dYs2ZNYE98773SvXD0aNiyJbDn9taQIXDsmJSF167tTAwqpBljWgN/WWt/5J8z\nYh8C1wA3AQeAN9M4xXL3OBNpc+9TVSFk0NTDWptsjNljjClsrfW5DscYkwNJxsZaaz07p/5pjLnc\nWnvQGFMS+Mv9+D4g5WZIpdyPpWu9e+H7jh07ANi9eze5cuXyNVSlvLI+0hotrFwpY6T9uZzy1Vcy\nnj/v/d/p669fvH/JMRH386ZCnv7MRaer3bNG48aNC/yFbc/M2LlzzrzH9e0rN3nB4L+eCkd1gbbG\nmNuAXEABY8wYa20fzxOMMaOA71I72Fr7nbshSFlr7XP+BOBNndJJ4EdjzEyk7T3I9Nug9A4yxsQA\nnwFbrbUp63emA32BN9zj1BSPjzfGjEBKFa8F1mYUXPXq1QHZ4BCgZs2alCtXzos/llK+Wb9+/f9+\n3iLCxo1w000wYEDoLLqOBO3bS1nM1KnQrl36z23XTvYamz//X62XI+7nTYU8/ZmLXuXKlWPQoEFs\n3bo18D8DLhfUqQNr1sDy5dKZliz6eevZE8aPlyYe7uYlKjqll/xbawcDgwGMMfHAY9baPsaYktba\nA+6ndQDSLH+x1l4wxrQA/ErIvOli+DPwX2QmKwFJyk6ne4SoB/RCWub/6L61AF4HmhpjfgNudX+N\ntXYr8A3S3WQ2MMBd0ugVLVlUykfaYTE43nhDOi8++aTseZOWqVMlGatXDxo3zrr4lFLqEpdddhk1\natRgzZo1nDp1KuMDfBETc7E0u2FDKe8+eVLeHw8c+Pfzt22DwYN9K/1Oze7d8PXXst+YZ79IpTIW\nw8UlU0ONMZuMMRuBeODhDI6daYx53BhT3BiTx3Pz5kXTnSEzxlQBtgAbrbW/e3NCD2vtCtJO+FLd\nhc9a+yrwqi+v46FdFpXykSchK1XK2TgijTFw553wySfSYvmhh/79nGPHoH9/iIuDTz/VtWNKKcc1\nb96ctWvXMnfuXDp16hTYkzduDDNmSEfZkSNh+nSqnDkDR45Ay5bQuTNcuCBl9OPHS9n3W2/Jc/v1\n8+81331Xzvnoo/oeq7xmrV0CLHHf7+3j4c+7xzdSPOYCMtyIL719yB4CliEdR34wxnT1Mags5Zkh\n85QuKqUyoDNkwfP881C4sHwQWLDgn9+7cAF69YKDB+V5FSs6E6NSSqXQzl1iPW3atOC8QKtWMuv1\n7LNw4AAx58/DzTfD7Nlwxx1w993S/KNkSenOmDu3PD7Tq54I/3TihFwUK1kSuncP+B9FqdRYa2NT\nuXm1K3p6M2T9gRustXvdmzZ/BnwdiICDISEhgTx58hAb6/Ve0kpFN03IgueKK2QdWePG8iGkYUPo\n1EnGESNg1ixo1gyeeMLpSJVSCoBq1apRqlQpZs6cSWJiIjly5Aj8i8TFSdfDRx9l05YtVKtXD77/\nHn79FZKToXp16cqYLRu0aQO1akGfPvDTT3DVVRmf3+PTT+HUKSl9DFQbf6XSYIy5GhgBGGAD8Ii1\n9rAv50gvezlrrd0L/1vfFdKtC0+fPq3likr5Yu9eGTUhC4769WUh+XXXwbx5cM89UKECfPSRtMef\nMEE+dCilVAiIiYmhbdu2HDt2jBUrVgT3xQoWxOXpiF23rsyE3XUXVK168X3xxhul7PBzde+VAAAg\nAElEQVToUXg4o6U7KZw/L3tB5s0rbfeVCr5PgZ3AICCRtNvjpym9GbIC7vaPIAvcPF/HIF0WZ/n6\nYsGUkJCgCZlSvti3D/Lnl5sKjtat5bZ7N3zxBfzwg8yM9ewJl13mdHRKKfUP7dq1Y+TIkUyfPp1G\njRo5HY6UMX76KUyeDNbKGt2MfPON/H4bOBAKFQp+jEpBSWttMwBjzBxklswn6SVke5D1Y2l9HXIJ\nWZEiRZwOQ6nwsW+fzo5lldKlZd2EUkqFsPj4eHLnzs3ChQudDkXExEjH2k6dYNgwGDUq/ecnJ8ve\njtmySUKmVNb4X0tl9x7OXneJ90gzIbPWNvQzqCzncrlISEjQlvdKeevMGSkDqVrV6UiUUkqFiJw5\nc1KnTh0WLVrEkSNHQuNCd/v2Uu49ZoyUNtatm/Zzp0yBn3+WjaCvuSbrYlTRzhhj1qX4ukKKr13W\n2poZncCbjaFD3vnz57lw4YKWLCrlrf37ZdQZMqWUUinEx8ezaNEili9fTvv27Z0OR2a73noL2raV\nku/Zs6FBg38/LzlZGobExkozD6Wyzm3pfM+r2bKISMg8Le81IVPKS9phUSmlVCri4+MBWLp0aWgk\nZAC33QYTJ0LXrtCuHaxbB+XK/fM5n3wCmzZBjx4yo6ZUFnHvXZYpEdEj3pOQacmiUl7ShEwppVQq\natWqRc6cOVmyZInTofxThw7w8cdw7JgkZadOXfzer7/KptOFC8PQoc7FqJSffE7IjDG5jTG+7lwd\nVKdPnwZ0hkwpr3kSslKlnI1DKaVUSMmVKxe1atVi48aNHDt2zOlw/qlfP3joIVkn1qePlCkmJUHv\n3rI2+pNP9EKjCkteJ2TGmNrGmE+A/cB/ghaRH7RkUSkf6R5kSiml0hAfH4/L5Qr+fmT+GD4cbr0V\npk6V/cneeEO2FOnVCzp2dDo6pfyS7hoyY0xxoA/QD0neigPXW2v3Z0FsXtOSRaV8pCWLSiml0tCw\nYUNeeuklli5dSps2bZwO559y5JC9xmrXlo2jAYoVk82glQoRxphSyARWX2vttRk9P80ZMmPMVOAn\noAzQz1pbETgZaskYaMmiUj7bt086VxUv7nQkSimlQkzt2rXJkSMHS5cudTqU1BUpIrNijz0GRYvK\n5tGh0KJfRTVjTA5jTBf35tB/AKWAO7w5Nr0ZspsBC3wPbMp0lEGkJYtK+WjfPihZUpIypZRSKoU8\nefJQs2ZNVq1axcmTJylQoIDTIf1bwYKyWfSwYU5HoqKcMeYmJPHqCqwHvgAqWmvv8/Yc6a0hKw0M\nBzoCe40x/wVy+R9u8GjJolI+SE6Wfci0XFEppVQa4uPjSU5OZuXKlU6HolSo2wCUBG601t5mrZ0A\nJPtygjQTMmvtBWvtTGttR+A6ZJbskDFmlzHmtcxEHWhasqiUDw4dkq5UmpAppZRKQ8r9yJRS6bof\nWeK1zBjzjDGmjK8n8KrLorX2sLX2LWttFaATUNDXFwomLVlUygfa0EMppVQG6tatS7Zs2TQhUyoD\n1toPrbU3A7cDRYDVwOXGmDuMMV7V+/q8D5m1dh2QYbeQrKQJmVI++OUXGcuVczYOpZRSIStfvnzU\nqFGDH3744X+VSEqptFlrt1hrHwauAnohy772eXOszwmZ23V+HhcUnjcKXUOmlBfWrpWxZk1n41BK\nKRXS4uPjSUpK4vvvv3c6FKXChrU20Vr7rbW2FWC8OcbfhCyk6AyZUj5Ytw6yZ4ebbnI6EqWUUiFM\n15EplTFjTB1jTL8UX39rjFlsjFmEl1WFmpApFU0SE2HDBqhcGXLndjoapZRSIax+/frExsZqQqZU\n+p4Dfk3xdUWkU/3HwGPenCDNfciMMYfSOa6QNyfPKlqyqJSXNm+Gc+fg5pudjkQppVSIK1CgANWq\nVWPt2rWcOXOG3HohT6nUlLDWrkrx9Tlr7UwAY8wD3pwgo42hw0JCQgIxMTH6RqFURtatk1HXjyml\nlPJCfHw8P/zwA6tWreLWW291OhylQtGlCUijFPeLenOC9PYh23npDTie4n7ISEhIIG/evMTGRkQF\nplLB42nooTNkSimlvHDLLbcAsGLFCocjUSpkJRljSnq+sNYeB3A/dsGbE6SZwRhjHjbGVHTfz2aM\nmQ0cNcYcNsbUz1zcgeVJyJRSGVi9GvLkgUqVnI5EKaVUGKhbty6gCZlS6fgE+MoY878GHsaY8sAE\n4FNvTpDelNJdwB/u+92Aq4HLgd7A6/5EGyynT5/Whh5KZeTAAdi6FRo0kC6LSimlVAaKFi1KxYoV\nWbVqFUlJSU6Ho1TIsda+BywHNhljjhljjgGbgZXW2ne8OUd6CVmitTbRfb8xMMZa+5e1djYQUtNR\np0+fJk+ePE6HoVRoW7hQxqZNnY1DKaVUWGnQoAEJCQls3LjR6VCUCknW2meAYkBz962YtfZpb49P\nLyHLboyJc99vAKScq87pa6DBdO7cOXLlyuV0GEqFtgULZGzSxNk4lFJKhZX69WWlipYtKvVvxpjS\nxpjSQGHgIHAA8Gk6Ob2EbDKw0BgzBVmQtsr9olcDJ/2KOAhcLhdnz54lZ86QyhGVCi0ulyRkxYrJ\nHmRKKaWUlzQhUypdG4D1KW4bgJPGmKXuRC1DaS4ksdY+Z4zpDFwJ9LfWerqEFEE2QAsJiYlSVakz\nZEqlw1rYtw+6dQPtRqqUUsoHZcqU4YorrmDFihW4XC5iYmKcDkmpkGGt/Vdre2NMduAe4D2gXUbn\nSG9j6M+stXem8qIbfIwzqM6dOwegM2RKpWfRIhkbN3Y2DqWUUmEnJiaG+vXr880337B9+3bKlSvn\ndEhKhTRrbRIw0hhztzfPT+9SebXAhBRcZ8+eBXSGTKl0LVsmY3y8s3EopZQKS1q2qJRfvCpLCvve\n1zpDplQGXC5YvhxKlIDy5Z2ORimlVBhKmZD17dvX4WiUCh3GmNRavRcF7gW2eHOO9BKyysaYQ2l8\nz2WtLe7NCwSbJmRKZWDHDti/Hzp1Aq37V0op5YfKlSuTP39+li9f7nQoSoWahFQeOwTMBwZ6c4L0\nEjIL3AaE9Cc4LVlUKgOeX54NGjgbh1JKqbCVPXt26tSpw7x58zh06BDFihVzOiSlQoK1NtPd0tJL\nyM5ba3dl9gWCTWfIlMqAJyFzl5sopZRS/mjQoAHz5s1j5cqVtG/f3ulwlIoY6WV057IsikzQhEyp\ndFy4AIsXQ/78cOONTkejlFIqjDVwV1os8nTuVUoFRJoJmbW2dlYG4i8tWVQqHR9+CNu3Q/v2kC2b\n09EopZQKY3Xq1CFfvnzMnTvX6VCUiihhv0OszpAplYY9e+Cpp6BQIRg2zOlolFJKhbm4uDgaN27M\nb7/9xvbt250OR6mIEfYJmWeGTBMypS7xzjuQkABDh0rLe6WUUiqTWrRoAaCzZEoFUNgnZJ4ZMi1Z\nVOoSc+dCrlzQq5fTkSillIoQzZs3B2DOnDkOR6JU5IiYhExnyJRKYf9+2LIF4uMlKVNKKaUC4Jpr\nrsEYw8KFCzl//rzT4SgVEcI+IdOmHkqlYv58GZs1czYOpZRSEadFixacPn2alStXOh2KUhEh7BMy\nnSFTKhXz5snoLi1RSimlAsWzjkzLFpUKDE3IlIo0/8/encfZWPd/HH/NMIOhkogsRcVXqMiSZIns\nstRtKYkslfRDaZFUt7LUnYo2SZaQZEmkQWSsRcsktH2TO2lyh7KHYWbO74/vGQ3NmBnmzHXOmffz\n8ZjHdc51rnNd7zO+6nx8lyslxfWQlS4NVap4nUZERMJMw4YNKVCggBb2EMkhIV+QaciiyCnWrYPd\nu6FlS4iI8DqNiIiEmZiYGBo1asTGjRvZsWOH13FEQl7IF2TqIRM5xZw5btupk7c5REQkbKUOW1ya\nOkReRM5Y/kCe3BgzGWgD7LLWXunfVwd4FYgCkoB+1tov/K8NAXoBycAAa22mf8tVkImkkZLiCrLz\nz4cbb/Q6jYiIhKlWrVoxaNAgZs+ezZ133ul1HJGzZozJB3wJJFhr2xpjigGzgEuAbUBna+2+QFw7\n0D1kU4CWp+x7DnjCWlsDeNL/HGNMFaALUMX/nnHGmEzzaciiSBrr1rkl72++GaKivE4jIiJhqnLl\nylx33XUsWbKE//73v17HEckJA4HvAJ//+aPAMmttJWC5/3lABLQgs9auAfaesvt/wHn+x0WB3/yP\n2wMzrbXHrbXbgJ+AOpldQz1kImnMneu2Gq4oIiIBdt999+Hz+Rg/frzXUUTOijGmLNAamAikTsBv\nB0z1P54KdAjU9b2YQ/Yo8IIxZjswGhji318aSEhzXAJQJrOTqSATSWPRIihSBJo08TqJiIiEuY4d\nO1KiRAkmTZrEkSNHvI4jcjbGAA8DKWn2lbTW7vQ/3gmUDNTFAzqHLAOTcPPD3jfGdAImA80yONaX\nwf4TUlf3+fHHH9mzZ0+OhRRJT3x8vNcRTu+dd9x282Zvc0iOCPr2JmFHbU6yq1WrVkybNo3XXnuN\nxo0bZ+u9am8SDIwxN+HWu9hgjLkhvWOstT5jTKZ1yZnyoiCrY61t6n88F9c1CG7oYrk0x5Xl7+GM\nGSpcuDAAtWvXplixYjkYU+Rk8fHx1KxZ0+sYGXv9dejXD8aNg3vv9TqNnKWgb28SdtTm5EwMHDiQ\nadOmsWHDBh566KEsv0/tTXJTJsV/PaCdMaY1UBA41xgzHdhpjCllrf3dGHMRsCtQ+bwYsviTMaaR\n/3ET4Ef/4w+AW40x0caYCkBF4PPMTqYhixk4fhweeABq1ABNts0bUm/Q2aKFtzlERCTPqFGjBhUq\nVGDhwoUnFloTCSXW2sesteWstRWAW4E4a+0duNqkh/+wHsD8QGUIaEFmjJkJfOoeml+NMT2Bu4Hn\njDFfAyP8z7HWfgfMxq1ushi3HH6mXYOpf/lVkKWxezc0bQpjx8LXX0Pr1qDhnOHt2DFYvhwqVoRL\nL/U6jYiI5BERERF07NiRgwcP6p5kEi5S649ngWbGmB9xnUjPBuqCAR2yaK29LYOXrs3g+FHAqOxc\nIzExkXz58pE/vxejL4PQxo3Qrh1s3w7/+heUKQMvvwy33OJ6UFS4hqc1a+DQIfWOiYhIruvYsSOj\nR4/m3XffpV27dl7HETlj1tpVwCr/4z1A09O/I2d4MWQxRx09ejS870Hm88Gzz0LLlrB27emPjY+H\nG25wxdjTT8Ps2TBmjCvMVq2C3r3d+ST8vP++23YI2IqsIiIi6apduzZXXHEFc+bM4ZdffvE6jkjI\nCfmCLDExMbyGK+7dC1OmuG1yMgwaBEOGuN6tBg1coZWezZvdMMUDB2D6dHjiCYiMdD/Tp8N118GM\nGTBvXu5+Hgm8lBRXkJ1/PjRs6HUaERHJYyIiIhgyZAhJSUmMHj3a6zgiIUcFWTBZvBiuuAJ69YLq\n1aF+fTcPrEoVWLgQypeHp56Czz47+X07d8JNN8G+ffDWW9Ct28mvFyrkijxwPWYSXr74AnbscENV\no6K8TiMiInnQrbfeSvny5Zk4cSK///6713FEQkrIF2RhM2Txr7+gUydXVHXpAgkJsH69e7x6tSu4\n3nrL9YbceSfs2uUeL1gAjRq5YYrDh8Mdd6R/fmPc4h6ffAKfZ7p4pYSS1OGKN9/sbQ4REcmzoqKi\neOihh0hMTGTy5MlexxEJKSFfkIVND1lsrCvKHnoI3n3X9XosX+4eX3CBO6ZRIxg4EH74AapWhcsv\nd3OGtmxx+4cOPf01HnjAbR95xPWqSXj48EPXC9q8uddJREQkD+vWrRuFChVi0qRJpKSkeB1HJGSo\nIAsWs2e7bZcubnvNNdCkyT+Pe/FFN4zxr79cUdWjB3zzjdsXEXH6a9x4o/tZtQoqVXIFn4S2HTvg\n229dsV6okNdpREQkDzvvvPPo3Lkz//3vf1m1apXXcURCRsgXZGExZPHQIddDVrkyVKt2+mMjI11v\n2O7dbtjiW2+5eWdZERHhFgd57TU4etT1rm3YcNbxxUMff+y2TXNlVVYREZHT6tOnDwATJ070OIlI\n6Aj5guzYsWOh30MWG+sKpM6dM+/lSlW4sPvJrnz5oF8/t+LiX3+5hSASE7N/HgkOy5a5bbNm3uYQ\nEREBrr/+eowxvPfee+zdu9frOCIhIeQLMiD0C7L58932X//KvWt27OiW1E9IcMviS+jx+VwPWcmS\ncOWVXqcREREhIiKCPn36kJiYyIwZM7yOIxISwqIgC+khi8ePw5IlcPHFuf+letAgt0z66NFuxUYJ\nLd98A7//7oYrZrVnVUREJMC6d+9O/vz5efPNN/H5fF7HkSCXlJTEtGnT6NGjB4MGDcqTbSYsCrKQ\n7iH79FO31P1NN+X+l+rSpd0y+T/++PfS6RI6Vqxw2xtv9DaHiIhIGhdeeCHt2rVj06ZNxMfHex1H\ngtiRI0fo2LEjPXr0YNq0aaxatYqIPPiPzGFRkIV0D9mHH7rtTTd5c/1HHnHzygYPdvPYJHSsXu22\njRp5m0NEROQUPXv2BODdd9/1OIkEq5SUFG655RYWLFjAjTfeyObNm/niiy+8juWJsCjIQrqH7MMP\nISYGGjf25vrGQP/+sHWrW1JfQoPP5wqysmWhQgWv04iIiJykWbNmnHPOOcybNy9PDkGTzI0bN44l\nS5bQvHlzYmNjqVatGpGRYVGaZFtYfOqQLci2bHE3eW7aFLzs5Rs2DC68EEaMgD/+8C6HZN0PP7hb\nHzRqpPljIiISdAoUKECbNm34+eef2bhxo9dxJMhs2bKFwYMHU6xYMaZOnRq63+VzSFgUZCE7ZDF1\ndcUOHbzNcd55MGQIHDkCkyZ5m0WyJvWGmw0beptDREQkA7fccgsA72ueuqRx4MAB2rdvz+HDhxk3\nbhylSpXyOpLnwqIgC9mqesECd6Nnr+aPpXXnnVCoEIwfD8nJXqeRzGj+mIiIBLlWrVpRoEAB5s2b\n53UUCRI+n49u3brx/fffc//999OlSxevIwUFFWRe2bnTrbBYvz6UKOF1GihaFG6/HbZtg8WLvU4j\np3P8+N/3H6tUyes0IiIi6SpSpAjNmzfnm2++YcuWLV7HkSAwffp0Fi5cSJMmTRg9erTXcYJGWBRk\nITlkceFCtzCD18MV07rvPrcdM8bbHHJ6ixe7+WOdO2v+mIiIBLWbb74Z0LBFgT/++INBgwYRExPD\n5MmTyZ8/v9eRgkZYFGQh2UOWOn+sfXtvc6RVvTo0awZxcbBunddpJCNTpritf0lhERGRYNW2bVvy\n5cungkx49NFH+fPPPxk+fDiXXHKJ13GCigoyLxw65IacXXklXHqp12lO9vjjbjty5N/7jh+H3r3h\ngQe8ySR/27XL3Srh6quhRg2v04iIiJxW8eLFadiwIevXr+e3337zOo54ZMOGDUyePJmqVasyYMAA\nr+MEnbAoyEJuyOJHH0FiYnANV0zVsCE0aACxsW4lv+RkuOMOmDwZXn4Z/vzT64R52/PPQ1KSesdE\nRCRkaNhi3ubz+XjggQfw+XyMHTtWQxXTERYFWcj1kAXLcvcZGT3arf7Ys6ebpzRrFhQuDCkpsGSJ\n1+nyrhUrXEF22WXQq5fXaURERLLkX//6F/ny5WPy5Mm6SXQe9Pzzz7Nq1SratWtH06ZNvY4TlFSQ\n5bbjx92Qs3LlgnfI2bXXwiOPwM8/w7x5cMMNfxdisbGeRsuzPvsMbrsN8uWDd96Bc87xOpGIiEiW\nlC5dmnbt2rFhwwa+/PJLr+NILoqLi+PRRx+ldOnSTJgwwes4QSssCrKQGrIYFwf79rnesWBeIW/Y\nMJfxvvvcEMvrr3dF5JIlbsic5J6FC91Q0t274ZVXoE4drxOJiIhkS9++fQEYP368x0kktyQkJHDr\nrbcSGRnJnDlzKFmypNeRglZYFGQh1UM2c6bbBvuN8AoUgPffh1dfhehoVzy2aQN792oFxty0bx/0\n6eOGkC5eDP7/oYmIiISSpk2bcumllzJz5kz279/vdRwJsGPHjtGpUyd2797NmDFjqFevnteRglpY\nFGRRUVFeR8iao0ddkXPxxXDddV6nyb5Wrdw2Ls7bHHnJ0KFuZcUnnoDmzb1OIyIickYiIyPp1asX\nR44cYd68eV7HkQAbMWIE69evp2vXrtyXep9byVBYFGT58uXzOkLWLFoEBw7Arbe6Ho9QkzpULj7e\n2xx5xRdfwOuvQ+XK8NBDXqcRERE5K127dgVgxowZHieRQPrqq68YNWoUF198Ma+//joRwTxFJ0iE\nYFXwTyGzfGbqcMXbbvM2x5kqVQrKlgVNyA285GS4917w+WDcODdsVEREJIRVqFCBevXqERcXx+7d\nu72OIwGQnJxM7969SU5OZtKkSZx77rleRwoJKshyy5498MEHUKWKu6lvqKpVC/73P9ixw+sk4W38\neNcTeccd0Lix12lERERyxO23347P5+Ojjz7yOooEwKRJk/j666/p3r27lrjPBhVkueWdd+DYMXdv\nr1Duuq1Vy23VSxY4KSnufmOFC7t7womIiISJTp06ERkZycqVK72OIjls3759PP744xQpUoRnn33W\n6zghJSwKspCYQ/bWW+4eUt26eZ3k7KggC7yPP4Zt29xcQy0RKyIiYaREiRLUrl2bzZs3a7XFMDN8\n+HB2797N0KFDueiii7yOE1LCoiAL+h6yzZvd8LPWrd08rFBWs6bbqiALnDffdNu77vI2h4iISAC0\nbNmS5ORkli9f7nUUySHWWl5++WUqVKjA/fff73WckKOCLDdMmeK2d97paYwcUbw4lC/vCjKfz+s0\n4WfXLliwAK68UjeAFhGRsNSiRQsAzSMLE8ePH+e+++4jKSmJF154gYIFC3odKeSERUEW1EMWjx+H\nt9+GCy6Am27yOk3OqFULdu+GX3/1Okn4mTvXtZlevUJ7rqGIiEgGateuzTnnnMNHH32EL4//425C\nQgLTp0/nySefZMOGDV7HybajR4/SsWNHli9fTqtWrejQoYPXkUJSWBRkQd1DtmiRK15uvz18li7X\nPLLAee89t+3Y0dscIiIiAZI/f37q1KnDL7/8grXW6zieWLlyJU2aNKFcuXJ0796d4cOHc80119Cm\nTRs+/PBDkpOTvY6Yqbi4OK666io++OADmjZtyty5c3XPsTOkgizQ3nrLbXv29DRGjlJBFhh//AGr\nVkHduu5+byIiImHquuuuA/LesMWkpCT69OlD48aNWbFiBQ0aNGDMmDHMmjWLevXqsWjRItq2bUuN\nGjWCeo7d8uXLad68OVu3bqV///4sXLiQmJgYr2OFLBVkgXTokOshq1YNqlf3Ok3OueYat1VBlrMW\nLHA3hP7Xv7xOIiIiElB5sSDz+Xzcc889TJo0ierVq/P555+zevVq7r//fjp37swnn3zCV199Rffu\n3fnmm29o1qwZS5Ys8Tr2P2zbto0uXboQGRnJ8uXLefnllzVv7CyFRUEWtHPIli939x5r187rJDnr\n/PPh8su1sEdOmzXLbVWQiYhImCtZsiRVqlRh5cqVHD161Os4ueL5559n8uTJ1KxZkzVr1lC7du1/\nHFOjRg2mTp3KqlWriIqK4vbbb2fbtm25HzYDKSkp3HHHHfz555+88sor3HDDDV5HCgthUZAFbQ9Z\nbKzbhstiHmnVqgV798LPP3udJDx88QUsWwYNGkCFCl6nERERCbgWLVpw5MgR1qxZ43WUgPv1118Z\nNmwYF154IbGxsRQpUuS0xzdo0IBXX32VPXv20LVr16CZUzZ+/HjWrl3LLbfcwj333ON1nLChgixQ\nfD748EO3THw4Ll+ueWQ564kn3Pbpp73NISIikktatmwJ5I1hiw8//DCHDx/mP//5DyVLlszSe/r0\n6UOXLl1Yt24dzz//fIATZm779u0MHjyYokWL8tprr3kdJ6yoIAuUDRvgf/9zN4MO1iGVZyO1IFu/\n3tsc4WDdOvjoI2jSBNT1LyIieUSDBg0oWLBg2Bdk7733HrNmzeLaa6+le/fuWX5fREQEr732GqVK\nlfJ8WXyfz0ffvn05dOgQY8aMoVSpUp5lCUdhUZAF5Ryy1OXLw3G4IsC110Lhwn8Py5QzN3Gi2w4d\n6m0OERGRXFSoUCEaNWrEN998w2+//eZ1nICw1tKzZ09iYmKYNGkSkZHZ++p9wQUXMHnyZI4dO0an\nTp3Yv39/gJKe3owZM1i8eDHNmjWjR48enmQIZyrIAiElBaZPh3POgTZtvE4TGAULQosW8OOP8MMP\nXqcJXUeOuJtBX3yxesdERCTPadGiBQBLly71OElg9O3bl4MHD/Lmm29StWrVMzpHq1atePTRR9m6\ndStlypShfPnyjB8/PsObah86dIh7772XgQMHsnLlSpKSkk57/k2bNrF3794MX9+1axcDBw6kcOHC\nTJgwQfcaC4CQL8jy5csXfA1jxQr49Vfo3BnC+Z4M7du77YIF3uYIZQsXwoED7sbh2fxXMxERkVCX\nOo8sGJd3P1tff/01K1eupFmzZnTt2vWszjV8+HDuvvtuKlSowJ49e7j33nupU6cOY8eOZcmSJWze\nvJmjR4/y5Zdf0rBhQ8aPH8/LL79M48aNKVWqFPfffz+///47mzZt4rvvvgNg79699OrVi6uvvppq\n1aqxevXqdK89YMAA9uzZwzPPPEP58uXP6nNI+oJw8lX2BF3vGMDUqW4b7l26rVu7ImLBAhg82Os0\noWn6dLft1s3bHCIiIh6oXLky5cqVY9myZSQnJwfn97oz9NJLLwHwwAMPnPW58ufPzxtvvAHAjh07\n6N+/P++//z5fZrC42l133UWnTp14//33mT9/Pi+99NKJPODuA7d582YOHTpEpUqV2Lp1K40bN6Zv\n3740b96cbdu2cfToURYvXsyqVauoV68e/fr1O+vPIekL+YIs6Bb0mDED3n3XLV1+/fVepwms4sWh\nfn1YswZ27YILL/Q6UWhZutStxFm7NlSp4nUaERGRXBcREUGLFi2YOHEiX3zxBbtrazcAACAASURB\nVHXr1vU6Uo7YuXMn77zzDpUqVToxLDOnlC5dmvfee4/ff/+dJUuWsGPHDrZt24a1lksvvZR27drR\noUMHIiIiaNasGS+99BJvvvkm06ZNwxhDQkICcXFxlClThmHDhjFgwAA+++wz7rrrLsaNG8e4ceNO\nul7z5s154403wqpYDjZBVs1kX9AUZCkp8O9/w4gRcO65MGlS3hiC1qIFrF7tfjp29DpN6PjjD9eD\nGhUF48d7nUZERMQzrVu3ZuLEiSxYsCBsCrInn3ySY8eO8cADD2R7IY+sKlWqFHfeeWemx0VFRdGv\nX7+Terh27NhB8eLFiY6OBqB+/fps3LiRqVOn8ueff3LZZZcRExNDxYoVqVSpUkDyy98CWs0YYyYD\nbYBd1tor0+zvD/QDkoFYa+1g//4hQC///gHW2kxneAZFQXbsmBtyNmcOXHqp6/W44gqvU+WORo3c\ndtUqFWTZMXIk/P47PPssXHON12lEREQ806JFC2JiYpg7dy6jRo0KvrUBsumrr746sYhH7969vY6T\nrtKlS/9jX3R0NHfddZcHabxljCkIrAIKANHAAmvtEGPMMKAPsNt/6BBrbUAmOwa6C2cK0DLtDmNM\nY6AdcJW1thrwvH9/FaALUMX/nnHGmEzzed59evw43HqrK8YaNIDPPss7xRi4+5EVLOh6yCRrjhyB\nt96CkiVh0CCv04iIiHgqJiaGNm3a8NNPP7F582av45wVn8/HwIED8fl8vPTSS0RFRXkdSTJhrT0K\nNLbWVgeuAhobY+oDPuBFa20N/0/AVp4JaEFmrV0DnLqO5r3AM9ba4/5jUqvO9sBMa+1xa+024Ceg\nTmbX8LSH7Ngx6NoV3n8fGjd2N/ctXty7PF4oUACuuw42b4Y9e7xOExrmzoV9+6BXLzdkUUREJI/r\n6B9l817qfVxDVGxsLGvXrqVdu3bceOONXseRLLLWHvY/jAby8Xf9kivdtV5McqoINDTGrDfGrDTG\n1PLvLw0kpDkuASiT2ck8K8gOH3bLvs+d63rGPvgAChXyJovXGjYEnw/WrvU6SWjwr5JEnz7e5hAR\nEQkSrVu3pmDBgsydO9frKGcsJSWFoUOHEhERwciRI72OI9lgjIk0xnwN7ARWWGu/9b/U3xiz0Rgz\nyRhTNFDX96KayQ+cb62ta4ypDcwGLs3g2PTveJdGSkoK8fHxOZkv60aMcD8A1nqTIRi0bet+ALz6\ns8glOdLWUped3bs37H9fcnY8+2+b5Flqc5KbTm1vdevWZeXKlcydO5cKFSp4lOrMHDp0iBdffJFN\nmzbRpk0bEhMT9fcphFhrU4DqxpjzgI+MMTcArwNP+w8ZDrwABGRSoBcFWQIwD8Ba+4UxJsUYUxz4\nDSiX5riy/n2nVahQIWrWrBmQoOn64Qe3eMW337q5Y1Ongn+FmjzryBE4/3wwBjZu9DpNwMTHx599\nW5s+Hbp3hxdfhBy4L4mErxxpbyLZoDYnuSm99tanTx9WrlzJDz/8cGIIYyjYunUrHTt2ZNu2bVSr\nVo033niDMmUyHeQluSirxbG1dr8xJhaoZa1dmbrfGDMRWBiYdN4MWZwPNAEwxlQCoq21fwAfALca\nY6KNMRVwQxs/z+xkuTpkcd06d8+ob7+FgQPh7bdVjIEbqnnDDbBpE/yWaQ2dt61Y4bY33OBpDBER\nkWBz0003ERUVFVLDFrds2UKjRo3Ytm0bQ4YMIT4+XsVYiDHGFE8djmiMKQQ0AzYYY0qlOexmIGAr\nzgS0IDPGzAQ+BSoZY341xvQEJgOXGmM2AzOB7gDW2u9wwxe/AxYD/ay1mQ5ZzLWCbO9e1yN2+DC8\n8w6MHQter/AYTFq3dtvFi73NEexWrnS9iVdf7XUSERGRoHLeeefRvHlzNm7cyE8//eR1nEzt2LGD\nZs2a8dtvv/HCCy8watSoE/f1kpByERDnn0P2GbDQWrsceM4Ys8kYsxFoBARsaFNAqxlr7W0ZvHRH\nBsePAkZl5xq5UpBt3gz33w/bt8OwYXBbRh8rD2vVyvUaLlqkxSoy8ssv8PPPbjGYvHDTcBERkWzq\n2LEjsbGxzJs3j0ceecTrOBk6ePAgrVq14pdffmHEiBEM0m1sQpa1djPwj5vCWmu751aGkP9WGPD7\nkE2aBFddBXFx0Lw5PP54YK8XqipWhMsvh2XL3O0A5J9WrnRbDVcUERFJV5s2bYiIiGBxEI+48fl8\n9OrVi02bNtGvXz8ee+wxryNJiAv5giygPWS7dsGDD8J558GCBW44noYpZqx1azh0CD75xOskwSl1\n/ljjxt7mEBERCVIlSpSgVq1arF27lgMHDngd5x98Ph/Dhg1j7ty5NGzYkLFjxxIRkSu3qpIwpoLs\ndIYMgf373dL27dppmFlmWrVy20WLvM0RrFauhGLF4MorvU4iIiIStFq2bElSUhLLly/3OspJUlJS\nGDhwIE8//TSXXHIJs2fPJioqyutYEgZCvsII2JDFn36CKVPcl+e+fQNzjXDTqJFbcVEF2T9t2+bm\nkDVqpMJeRETkNFr5/4E32IYtPvfcc7zyyitUq1aNTz75hJIlS3odScJEyH8zDFgP2RtvgM/nesly\nc2n9UFaoEDRpAt9954oP+ZuWuxcREcmSOnXqUKxYMRYvXozPl+mC27li1apVDB06lDJlyhAXF6el\n7SVHqSBLz5EjMHkylCgBt9yS8+cPZ6nDFoPsX7U8l7qgh+aPiYiInFa+fPlo0aIFCQkJbNy40es4\nJCYm0rNnTyIiIpg1axYlSpTwOpKEGRVk6Zk9G/bsccu3FyiQ8+cPZ5pH9k8+n+shu+ACqFrV6zQi\nIiJBr3379gAsWLDA4yTw+uuv8/PPP9O/f3+uv/56r+NIGAr5giwgc8gmT3bbu+/O+XOHu0svhcqV\nYflySEz0Ok1w+Pln+PVXN1xR88dEREQy1apVK6KiojwvyPbt28fw4cM577zzeFy3PpIACflvhzne\nQ7Z9O6xe7RZfKF8+Z8+dV7RqBYcPu9+jaP6YiIhINp177rk0adKEDRs28IuH89Iff/xx9uzZw5Ah\nQ7jgggs8yyHhTQXZqd55x227dcvZ8+YlrVu7rYYtOpo/JiIikm0dOnQAYP78+Z5cf/369YwbN47K\nlStz//33e5JB8gYVZGn5fPD22xAdDR075tx585oGDaBwYRVk8Pf8sRIloEoVr9OIiIiEjPbt2xMd\nHc2YMWM4evRorl47ISGBHj164PP5eOONNyigNQUkgEK+IMvROWSbNsG338JNN0HRojl33rymQAG4\n8Ub48UfYutXrNN7auhV++80NV4yI8DqNiIhIyLjooosYMGAAv/zyCy+99FKuXXfLli1cd911/Pjj\njwwePJiGDRvm2rUlbwr5gixHe8jeftttNVzx7LVs6bZxcd7m8FrqcEXNHxMREcm2oUOHcsEFFzBy\n5Ej+/PPPgF/v6NGjdOzYkYSEBJ599lmeeeaZgF9TRAVZquRkmDnT9YylzoGSM1e7ttt+/bW3Obym\nBT1ERETOWNGiRRkyZAgHDx5k4sSJAb/eI488wqZNm+jbty+DBw8mQqNbJBeEfEGWY0MWV61yQ8s6\nddK9x3JC1apuifcguKGjZ5KSYMkSKF0arrjC6zQiIiIhqXfv3hQuXJjXXnuNpKSkgF1n3bp1vPLK\nK1SpUoUXXnghYNcROVXIF2Q51kOm4Yo5q1AhMMbNy/P5vE7jjdWr3Q3Gb75Z88dERETOUNGiRbnz\nzjv59ddfA3ZfspSUFAYMGADAhAkTiImJCch1RNKjggzg+HGYPx/KlIH69c/+fOJcfTUcPAjbtnmd\nxBvvv++2N9/sbQ4REZEQ93//938ADBkyJCBzyd566y2+/PJLunbtyvXXX5/j5xc5HRVk4IYr7t0L\nt9zihtlJzrjqKrfNi8MWfT5X5J9/Pmh1JhERkbNSuXJlBg8ezJYtW7j55ptJTEzMsXPv3r2bhx9+\nmMKFC/Of//wnx84rklUhX33kyByy995z21tuOftzyd+uvtptN23yNocX4uMhIQHatoWoKK/TiIiI\nhLxRo0bRqVMn1qxZw9ixY3PsvA8++CB79uxhxIgRlC1bNsfOK5JVIV+QnXUPWXKyG1pWvLiGK+a0\n1IIsL/aQLV7stm3beptDREQkTERGRjJhwgSKFy/OyJEj2blz51mfc/bs2UyfPp2aNWvSv3//HEgp\nkn0qyNatg507oX17yMl7molbXbBYsbxZkC1d6oa/3nij10lERETCRtGiRXnqqac4ePAgQ4cOPatz\nbd68mZ49e1KkSBGmTZuWcyt3i2STCrJ333Xbjh3PPoycLCICatWCrVth926v0+Se/ftdoV+njptD\nJiIiIjnm7rvvplq1akyaNInly5ef0Tni4uJo3Lgxhw8fZurUqVSpUiWHU4pkXcgXZGf1rxlJSTB7\nNpQoAU2b5lwo+VvqMNC1a73NkZtWrHBDYVu08DqJiIhI2MmfPz9TpkwhX7589OrViwMHDmTr/fHx\n8TRv3pwDBw7w5ptvcovWEBCPhXxBdlY9ZMuXu56bTp00XDFQGjRw2zVrvM2Rm5Yuddvmzb3NISIi\nEqZq1arFkCFD2L59O7169SIlJSXL733ppZdITk5m9uzZ9OnTJ4ApRbImbxdkM2e67W235UwY+adr\nr3WrDOaVgszng0WL4Nxz3ZBFERERCYgnn3ySRo0a8d577zF8+PAsvefPP/9k9uzZVKpUifbt2wc4\noUjW5N2CLPVm0OXKQb16ORtK/laoENSuDRs2wKFDXqcJvE8+gV9+gQ4d1OsqIiISQFFRUcyZM4dL\nLrmEYcOGMXz4cHw+32nfM2XKFBITE+nbty8RERG5lFTk9EK+IDvjOWSrV7vFFzp00M2gA61BAzen\nat06r5ME3vTpbtutm7c5RERE8oASJUrw8ccfU758eZ588klGjRqV4bHHjx9n3LhxFCxYkB49euRi\nSpHTC/lK5Ix7yBYscNt27XIujKQvr8wjS0x0i8SULg1NmnidRkREJE+4/PLLWbt2LRdffDFPPPEE\nH3/8cbrHvf322/z888/07t2bYsWK5XJKkYzlzYLM53MF2XnnQaNGOR9KTla3rtt+9pm3OQLtww9h\n3z7o2hV0LxMREZFcU6ZMGebMmUP+/Pnp3LkzkyZNIjk5+cTrSUlJjBw5kujoaB599FEPk4r8U8gX\nZGc0ZHHTJti+HVq3dgtOSGBdcAFcfjl8/jlkYxWkoPXll/Dvf8OQIfD22/DHH27/xIluq2EQIiIi\nua5OnTpMmjSJxMRE+vTpQ61atfj44485fPgw//d//8fWrVvp06cPZcuW9TqqyElCftWBM+oh+/BD\nt9Vwxdxz7bUwYwZs2QLGeJ3mjEQcPQojRsCwYW5OXKqYGJg8GT76yC0QU62aZxlFRETysjvuuIMm\nTZrw2GOPMW3aNJo1a0ZkZCQpKSlUq1aNJ5980uuIIv8Q8j1kZ1SQLV0KERHQrFnOB5L0pQ5bXL/e\n2xzZ9fnncM890LEjV7VpA088AaVKwZw5bmGYp5+GI0fg1lvdUNi77/Y6sYiISJ5WpkwZpk6dyuef\nf85dd91F9erVufvuu1m/fj0lS5b0Op7IP+S9HrKDB91qfzVruqF0kjuuvdZtP/ssNIb07doF990H\nc+ee2OUrWtQNU3zwwb/bTuoKkk89BUWLQufOHgUWERGRtGrXrk3t2rW9jiGSqZAvyLI9h2zVKncP\nsubNAxNI0nf11VCgQGgs7LFkCXTvDrt3u569ESPgqqvY9N//UjO1sEzriSfcLRSqV3f3XRMRERER\nyaKQL8iy3UO2bJnbarhi7oqOhho13IIYhw+7eVfB6Lnn4NFH3WIvL74IAwf+fZ+67dvTf0++fDBm\nTO5lFBEREZGwkffmkC1dCoULw3XXBSaQZKxBA0hKgk8/9TpJ+t56CwYPdvcRW7sWHnhANw0XERER\nkYAK+W+b2SrItm+HH35w9x4rUCBwoSR9jRu7bVyctznS89VX0Levmwe2ahVozLmIiIiI5IKQH7KY\nrTlkixe7batWgQkjp1e/PuTPDytWeJ3kZAkJ0LYtHDsG8+bBZZd5nUhERERE8oi81UOmgsxb55zj\nep6++AIOHPA6jXPkCLRpAzt2wOjR7mbhIiIiIiK5JO8UZMeOwfLlULGiekC81KSJWyZ+zRqvkzgT\nJ8KmTdCnDwwa5HUaEREREcljQr4gy/KQxbVr4dAh9Y55LXUeWTAMWzx+HJ5/3i1VP2qUu1m4iIiI\niEguCvmCLMs9ZBquGBzq1XNL4AfDwh7vvOMWernrLihRwus0IiIiIpIH5a2CrGBBt8KieKdQIXfL\nga+/hj17vMvx118wbJhbZOTBB73LISIiIiJ5Wt4oyH79Fb791g2XK1Qo8KHk9Jo0AZ/PLS/vlSef\nhG3b4KGH4OKLvcshIiIiInla3lj2XsMVg0vjxvDvf7thizffHPjrTZ0KBw+CMbBhg5tPGBsLl1/u\nCjMREREREY+EfEGWpR4yFWTB5dprXU9lbizs8cILrhfsVBUrwrRp6jEVEREREU+Ff0F27Bh8/LHr\nDbn88twJJacXHQ0NGsDSpfD771CqVGCuM3++K8ZKl3Y9Yb/8Aldf7W5QXaZMYK4pIiIiIpINAS3I\njDGTgTbALmvtlae89iAwGihurd3j3zcE6AUkAwOstUszu0amBdny5W65+zZtzugzSIDceKMryJYt\ngzvuyPnzJyfDI49AVBQsWQJXXpn5e0REREQkTzHGFARWAQWAaGCBtXaIMaYYMAu4BNgGdLbW7gtE\nhkAv6jEFaHnqTmNMOaAZ8EuafVWALkAV/3vGGWMyzZfpHLJZs9y2c+csh5ZckDp8NHU4aU6bMwe2\nbIE771QxJiIiIiLpstYeBRpba6sDVwGNjTH1gUeBZdbaSsBy//OACGhBZq1dA+xN56UXgUdO2dce\nmGmtPW6t3Qb8BNTJ7Bqn7SFLTIT334dy5aBu3azGltxQrZobNvjRR643KyelpMDIkRAZCYMH5+y5\nRURERCSsWGsP+x9GA/lw9Us7YKp//1SgQ6Cun+vL3htj2gMJ1tpNp7xUGkhI8zwByHSiz2kLsiVL\n4MAB1zsWGfIr/IeXiAjXS7ZnD3zxRc6e+6WX4Jtv4Pbb4bLLcvbcIiIiIhJWjDGRxpivgZ3ACmvt\nt0BJa+1O/yE7gZKBun6uLuphjIkBHsMNV0wVcZq3+DI75+bNmylcuHD6L5YtC19+6R7Hx2c1puSW\nvn3dD+Tsn0/DhgH7c49XO5JcpPYmuU1tTnKT2psEC2ttClDdGHMe8JExpvEpr/uMMZnWJWcqt1dZ\nvAwoD2w0xgCUBeKNMdcCvwHl0hxb1r/vtGrVqkVMTMw/X5gxA7p1c/e8Wr7c9chIcDlwAC64wK18\nmFpAnY3kZKhXDz7/3K2w2L792Z8zjfj4eGrWrJmj5xTJiNqb5Da1OclNam+Sm7Ja/Ftr9xtjYoGa\nwE5jTClr7e/GmIuAXYHKl6vj+Ky1m621Ja21Fay1FXDDEq/xdwd+ANxqjIk2xlQAKgKfZ3bOdIcs\n7t4N/ftD4cIwaZKKsWB17rlwww2uFyshIdPDMzV+vCvGbrstx4sxEREREQk/xpjixpii/seFcCP5\nNuBqkx7+w3oA8wOVIaAFmTFmJvApUMkY86sxpucph5zo+rPWfgfMBr4DFgP9rLWZdg2mW5A99xzs\n3QsjRkCFCmfxCSTgUgunDz44u/Ps2AFDhkDRojBmzNnnEhEREZG84CIgzj+H7DNgobV2OfAs0MwY\n8yPQxP88IAI6ZNFae1smr196yvNRwKjsXCPy1MU6du2CcePcCn733pudU4kX2rVzvZkLFkC/fmd+\nnoED4eBBmDABSgZszqWIiIiIhBFr7WbgmnT27wGa5kaG8Ft6cPRoOHwYHn0UChTwOo1k5uKLoUYN\nWLEC9u8/s3PMnw9z58L110Pv3jmbT0REREQkgMKrIPvkEzdcrWxZ6NPH6zSSVR06wPHjMH169t63\neTM0aAA33wz588Mbb+j2BiIiIiISUsLn2+vu3W4xB5/PrbBYsKDXiSSr7rkHihSBp592ww6zIi4O\n6teHtWuhaVOIjYWqVQObU0REREQkh4VHQZaQAI0awa+/wlNPuftQSegoWRIeecQV1c89l/nxM2ZA\ny5Zw9CjMnAnLlkHz5oHPKSIiIiKSw0K/IJsxA2rXhu+/hwcfhKFDvU4kZ2LQIChd2s0B/Omnf75+\n4AAMGODuWdatm7ulwdKlcOutuZ9VRERERCSHhH5B1q0b7NsHL77ovszrnmOhqXBhN/8vMRH69nVD\nT1N9+SXUqgWvvOKKtQYN3FDFRo28yysiIiIikgNCvyDr0MH1jj3wgIqxUNepE7RuDcuXw7vvwrFj\nbtXE2rVhyxZ4+GFXfK9erfliIiIiIhIWAnofslzx/vteJ5CcEhEBr74KxsCTT8K2bTB5Mlx5Jbz0\nEjRu7HVCEREREZEcFfo9ZBJeKlRwvWI//QSPPQYXXAArV6oYExEREZGwpIJMgs/QoX/f1HvUKChW\nzNs8IiIiIiIBEvpDFiX8lC3rFmjZsMH1lomIiIiIhCkVZBKc+vf3OoGIiIiISMBpyKKIiIiIiIhH\nVJCJiIiIiIh4RAWZiIiIiIiIR1SQiYiIiIiIeEQFmYiIiIiIiEdUkImIiIiIiHhEBZmIiIiIiIhH\nVJCJiIiIiIh4RAWZiIiIiIiIR1SQiYiIiIiIeEQFmYiIiIiIiEdUkImIiIiIiHhEBZmIiIiIiIhH\nVJCJiIiIiIh4RAWZiIiIiIiIR/J7HUBEREREJBSkpKRw7Ngxr2PIaURHRxMZGVp9TqGVVkRERETE\nI8eOHSMxMdHrGJKBxMTEkCyY1UMmIiIiIpJFBQoUoGDBgl7HkDCiHjIRERERERGPqCATERERERHx\niAoyERERERERj6ggExEREREJEQkJCbRt2/akfa+88gqTJ08+8XzKlCm0atWKtm3b0r59e5599lmS\nkpJOvP79999TuXJl1qxZk+F1mjRpQtu2bWnXrh29e/fmjz/+SPe4u+++m0OHDp3VZ/rss8+oXLky\nc+bM+UfGtJ8rKSmJunXr8sILL5zV9YKNCjIRERERkRAWERFx4vHMmTP59NNPmTNnDgsXLmTu3LkU\nK1aMo0ePnjjmww8/5IYbbiA2Nva0550+fToffPAB1apVY/z48Se95vP58Pl8TJgwgSJFipx1/ooV\nK7JkyZKTMlauXPmkz/bJJ59QtWpVli5delbXCzZaZVFERERE5Aw8/PDDJ/Xq5IROnToxevTobL8v\ntXB54403mDFjxokiKSoqirvvvvvEcT6fj2XLljF9+nS6dOnCsWPHiI6OPu25a9asydtvv81vv/1G\nr169qF69Ot9++y0TJkygW7duzJs3j6JFizJ//nwmT55MREQExhiee+459uzZw7Bhw9ixYwcAjz32\nGNdcc80/rlGmTBn++usv/vzzT4oVK8batWtp1KgRPp/vxDGLFi3itttuY+bMmWzYsIEaNWpk+/cU\njFSQiYiIiIiEgUOHDnH48GHKlCmT4TFfffUV5cqVo2TJktSpU4eVK1fSvHnzdI9NLYZWrlyJMQaA\n7du3M3r0aK666qqTjt2yZQuvv/46s2bNomjRohw4cACAkSNH0qNHD2rWrMmOHTvo06cPixYtSvd6\nLVq0YMmSJVxxxRVUqVLlpEIxMTGR9evXM3z4cPbt20dsbKwKMhERERGRvGz06NFn1Jt1NtIO4cts\n/9q1a3n++ec5cOAAL774ItWrVyc2NpaWLVsC0LJlS+bPn59hQda9e3fy5ctH5cqVGTRoEPv27aN0\n6dL/KMZ8Ph/r16+nVatWFC1aFIBzzz0XgE8//ZStW7eeOPavv/7iyJEjFCpU6KT3p+a5//77+e9/\n/8tNN93Ehg0bThyzYsUK6tSpQ3R0NE2bNuXVV19l6NChGf4+QokKMhERERGREFG0aFH2799/0r59\n+/ZRtmxZihQpQkxMDAkJCZQtW5b69etTv359+vbty/Hjx0lOTmbp0qXExcXx+uuvn3jvX3/9ReHC\nhf9xrenTp58osFKPjYmJSTdXRETEScMLU/l8PmbPnp3psEiA4sWLExUVxaeffsrQoUPZsGHDiYIr\nNjaWr776iiZNmgCwf/9+1q1bR7169TI9b7DToh4iIiIiIiGicOHClChRgvXr1wOuSFqzZg01a9YE\n3KqHw4YN4+DBg4AriBITEwFYt24dxhhWrlxJXFwccXFxNG/enGXLlp1VpoiICOrWrcuSJUvYt28f\nwImi8frrr2f69Oknjv3+++9Pe64BAwbw0EMPERkZeSL/oUOHiI+PPyn3E088wYcffnhWuYOFeshE\nRERERELIc889x1NPPcWzzz4LQP/+/SlXrhwAXbt25ciRI3Tq1Ino6GhiYmKoWbMmV1xxBSNHjvzH\n8MTmzZvz7rvv0qFDh5P2Z3UoYOpxl19+Offeey933HEHkZGRVKlShWeeeYbHH3+cp59+mnbt2pGc\nnEzt2rUZNmxYhtc6dV5YREQEH3/8Mddddx1RUVEn9jdp0oTnn3+e48ePn7Q/FEWk17UYKuLj432p\n/xogEmjx8fGovUluUXuT3KY2J7kpVNtb6tLxBQsW9DiJpCejPx9/ewvayWYasigiIiIiIuIRFWQi\nIiIiIiIeUUEmIiIiIiLiES3qISIiIiKSRakrFkrwSUxMpECBAl7HyDYVZCIiIiIiWZCVe2mJdwoU\nKBCSf0YBLciMMZOBNsAua+2V/n2jgZuAY8BWoKe1dr//tSFALyAZGGCtXRrIfCIiIiIiWRUZGakV\nFsOMMaYcMA24EPABE6y1LxtjhgF9gN3+Q4dYa5cEIkOg55BNAVqesm8pUNVaezXwIzAEwBhTBegC\nVPG/Z5wxRnPcREREREQkUI4DD1hrqwJ1gfuMMVfgirMXrbU1/D8BKcYg8IQtvAAADKxJREFUwAWZ\ntXYNsPeUfcustSn+p58BZf2P2wMzrbXHrbXbgJ+AOoHMJyIiIiIieZe19ndr7df+x4eA74Ey/pdz\n5d5lXvdA9QIW+R+XBhLSvJbA378MERERERGRgDHGlAdqAOv9u/obYzYaYyYZY4oG6rqeLephjBkK\nHLPWvnOaw3yZnSc+Pj7nQolkQu1NcpPam+Q2tTnJTWpvEkyMMUWAucBAa+0hY8zrwNP+l4cDLwC9\nA3FtTwoyY8ydQGvgxjS7fwPKpXle1r8vQzVr1syVbkQREREREQlPxpgo4D3gbWvtfABr7a40r08E\nFgbq+rk+ZNEY0xJ4GGhvrT2a5qUPgFuNMdHGmApAReDz3M4nIiIiIiJ5gzEmApgEfGetHZtm/0Vp\nDrsZ2ByoDBE+X6ajAs+YMWYm0AgoDuwE/o1bVTEa2OM/bJ21tp//+Mdw88qScN2FHwUsnIiIiIiI\n5GnGmPrAamATf0+Xegy4Daju3/czcI+1dmcgMgS0IBMREREREZGMeb3KooiIiIiISJ6lgkxERERE\nRMQjKshEREREREQ84tl9yM6Gf6XGsUA+YKK19j8eR5IQZ4yZDLQBdllrr/TvKwbMAi4BtgGdrbX7\n/K8NwS1AkwwMsNYu9SK3hCZjTDlgGnAhbrLwBGvty2pzEijGmILAKqAAbmGtBdbaIWpzEkjGmHzA\nl0CCtbat2psEijFmG3AA136OW2vrhFJ7C7keMv9f7leBlkAV4DZjzBXeppIwMAXXptJ6FFhmra0E\nLPc/xxhTBeiCa38tgXHGmJD7uySeOg48YK2tCtQF7vP/d0xtTgLCf5uZxtba6sBVQGP/ymJqcxJI\nA4Hv+HvlOrU3CRQfcIO1toa1to5/X8i0t1Bs7HWAn6y126y1x4F3gfYeZ5IQZ61dA+w9ZXc7YKr/\n8VSgg/9xe2Cmtfa4tXYb8BOuXYpkibX2d2vt1/7Hh4DvgTKozUkAWWsP+x9G40aY7EVtTgLEGFMW\naA1MBCL8u9XeJJAiTnkeMu0tFAuyMsCvaZ4n+PeJ5LSSae43sRMo6X9cGtfuUqkNyhkzxpQHagCf\noTYnAWSMiTTGfI1rWyustd+iNieBMwZ4GEhJs0/tTQLFB3xsjPnSGHOXf1/ItLdQLMh04zTJddZa\nH6dve2qXkm3GmCLAe8BAa+3BtK+pzUlOs9am+IcslgUaGmMan/K62pzkCGPMTbg52Rv4Z68FoPYm\nOe56a20NoBVuGkCDtC8Ge3sLxYLsN6BcmuflOLnKFckpO40xpQCMMRcBu/z7T22DZf37RLLMGBOF\nK8amW2vn+3erzUnAWWv3A7FATdTmJDDqAe2MMT8DM4EmxpjpqL1JgFhr/+ff7gbexw1BDJn2FooF\n2ZdARWNMeWNMNG5S3gceZ5Lw9AHQw/+4BzA/zf5bjTHRxpgKQEXgcw/ySYgyxkQAk4DvrLVj07yk\nNicBYYwpbowp6n9cCGgGbEBtTgLAWvuYtbactbYCcCsQZ629A7U3CQBjTIwx5hz/48JAc2AzIdTe\nQq4gs9YmAf8HfIRbuWeWtfZ7b1NJqDPGzAQ+dQ/Nr8aYnsCzQDNjzI9AE/9zrLXfAbNx7W8x0M/f\nFS6SVdcD3XAr3W3w/7REbU4C5yIgzj+H7DNgobV2OWpzkjtS247amwRCSWBNmv++fehfxj5k2luE\nz6f2LiIiIiIi4oWQ6yETEREREREJFyrIREREREREPKKCTERERERExCMqyERERERERDyigkxERERE\nRMQjKshEREREREQ8kt/rACIi4cwYsw04CFyVep8T/77W/nuh5MQ1ygNfWGtL5MT5snHdKUBtYLO1\n9rZTXlsJlAMOANHA90Ava+2BM7zWm8Bb1tpPzir0GTLGvAXcCOwGigA7gTestW/n4rX/SLN7uLV2\nnv/3PNpaGxvoHBkxxtzgz1DbqwwiIqFMBZmISGD5gMLAHcC0NPuCjjEm0lqbksVjSwK3WGvPy+AQ\nH9DfWrvIf/y7QF/guTPJZq2960zel4N8wDPW2nEAxpirgVnGmBLW2jG5ee10XgvK9iQiIlmjgkxE\nJPCeAv5tjHnHWpuU9oVTe8vSPvc/no7rHSkLDAFKAV2A83E9TmvSnOt5oBkQAfSz1q71728NPAYU\nBI4BD1hrP/P3bLwMfAnUAIYCi07J1x14CPelfytwD3AUWAHEGGM2AFOttWPT+dwR/nNEATHAHv/z\nYUBha+3Dpz43xrQHhgPJuP9H3WetXZ22J8jfY3QEqITrhVtnre3hP9e5wIvAlf7PuwIYZK1NMcb8\nG7jVn98H3AAkAVOBKsBxwFpru6TzWU58HtxBG40xA/3vHWOMKQW8A5zrv26stXawMaYg8F/gGmvt\n7/6MLwP/A8biivRsXTsjxpiuwABcjyTAQ9baOP9r24CZuPZxHjDWWvuaMSYSeBVoDCQCh6y19f3v\nSbfd+F8bgWuHe4FVmWUTEZGMaQ6ZiEjgfQnEA/3See3U3g3fKY+jrbX1gFuAN4HD1to6uC/Ko9Ic\newHwtbX2aqA/MNMYE2WMuQx4HGhlra0F3AXMTvO+KrihdzVSe7NSGWOqAc8Azfzn/QZ4xVp7EGgF\n7PO/L6Ni7GV/wfa7P19GPYRpe3meAu6y1tYArgI2pHMMQFV/hqpATWNMU//+F4GV1tprcUVmSaCX\nMaYYcD9Q3X/uBsBfQAvgHGttVWttdeDudD5LRj4HLjTGFMcVJm39v+MaQC1jTAtr7VFc0XY3gDGm\nCK6QeRNomcVrRwCPGmM2pPm5Kp3jllhr61prrwFu8183lQ8o4c93PfCYMeZK4GrgBmvtFf4Mbfw5\nM2w3xpi2QFv/e+sCBvXSiYicMRVkIiKB58N9uR1sjCmczffO8m834HoqUp9/BVye5rhjqfOZrLWr\ncD1IlXEFx2XAan9x9DaQzxiTOt9sS2qvRzoa43p6dvqfvwGkFj6Z9dikDlmsAZQAvgX+c5r3pu6L\nA8YaYx4CqviLv/TOPd9ae8xaexz3u7jU/1o74GH/Z40HrgEqAvuAn4Dpxpg+uEIoGfgauMIY86ox\npiOuJyir0n6O/MDzxpivcQV4NaC6/7XXgJ7GmHxAN+Aja+0f2bh26pDFGml+NqVz3OXGmKXGmG+A\nd4FSxpgL07w+CcBauwuIxfUQbgWijDGTjTHd0nymjNrNhbh28a619rB/iOskstCDJyIi6VNBJiKS\nC6y1P+KGAz54yktJnPzf4oKnvH7U//7ktM/5e0jfCcaYU78Up/ZaLDnly3xZa+1u/2uHThPbx8lf\ntM/oS7f/S/v7uOFy4Ibnpf3MhdIcOwjogytO5viLp/Qkpnl86u+ifZrPaqy1g/0Z6uKG55UF4o0x\nV1prf8b1Ei7DFZsbjTEFMrjmqb1AtYGd/uJqEFAUqOPvTZyP/8/SWpuAK9I64HpJX/Pvz861s2Im\n8Kq1thquEE3i5PZ06p+lz7/ISlVcAXcV8K1/fiCk3252kUPtQkREHBVkIiK5ZxhwH3BOmn0/AXUA\njDE34obYnYlooKv/PA1wX8R/wH3Zb2mMqZJ6oDEmq6vhrQBap/mCfhewNBuZ0n5RbwxY/+OfcMMM\nI4wx5wA34S92jDHGWvuttfZlXK9MrWxcD+ADYIh/bhTGmOLGmPL+oYIXWmtXW2uH4YZfVjXGlMEV\nJgtwRVUJ3Py8034e/5DBMfzd63ce8D9r7TH/OdtzcgH3Cm7O2LE087DO6NqncR6wzf+4N3BqcXen\n/7olcMM9V/iHWxa21i7FzVHcD1TA/Tln1G7igM7GmBh/r1/PLGQTEZEMaFEPEZFcYq39zRgzDffl\nO9UTwFRjTH/cF91fTnOK0803+xOobox5xP/8Nv8CIlv8Q9EmGWMK4Qq3tcAXGZwzbd5vjTGPAsuM\nMWkX9cgoz6le9i/+EOX/XH39++fh5lF9D2xPkwXgGWNMRVzvzl5cYZGejK59P24lx43+zInAQFyv\n3Hv+30EkbjjjPP6/vTtkiRgOwwD+iCa/gVEMbzIYrVa/kNlwmC2CfgmTGAxiEyxi+ieLSQSjcYbt\n4IQ7BLm7GX6/vPHf2MIe3u1ZcpTkrKqSZDPJZFq+McfJMLHbTvI+bDutvT9PP9F7SfKW5G52x6GY\n5CvJbFPi/h/WnrporV3OOffrqvpMcpufNflJ8lFVT+mD22S4vgdJrqpqK/0zwU2Sx9Zat+i+GYpV\nDpM8p79G90l2Fhw3AL/Y6Drf4QLAKlXVbvpAszcUfax7/dckx21J/74DYHm8sggAK1RVp0ke0tfv\nrz2MAfC/mZABAACMxIQMAABgJAIZAADASAQyAACAkQhkAAAAIxHIAAAARvINAnKKGYl6xvsAAAAA\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plotting formalities for 126-day offset\n", "\n", "d = 126\n", "cseries1 = scores_tsla_means2[d:]\n", "cseries2 = scores_uga_means[:len(scores_tsla_means2)-d]\n", "r = range(len(cseries1))\n", "\n", "_, ax1 = pyplot.subplots()\n", "ax1.plot(r, cseries1, c='red', label='TSLA MA')\n", "pyplot.xlabel('Number of Business Days Elapsed')\n", "pyplot.ylabel('TSLA Price MA')\n", "pyplot.legend(loc=2)\n", "ax2 = ax1.twinx()\n", "ax2.plot(r, cseries2, c='black', label='UGA Price MA')\n", "pyplot.ylabel('UGA Price MA')\n", "pyplot.legend(loc=4)\n", "pyplot.title(\"-126 Day Offset\")\n", "pyplot.show()\n", "\n", "# plotting for 50-day offset\n", "\n", "d = 50\n", "cseries1 = scores_tsla_means2[d:]\n", "cseries2 = scores_uga_means[:len(scores_tsla_means2)-d]\n", "r = range(len(cseries1))\n", "\n", "_, ax1 = pyplot.subplots()\n", "ax1.plot(r, cseries1, c='red', label='TSLA MA')\n", "pyplot.xlabel('Number of Business Days Elapsed')\n", "pyplot.ylabel('TSLA Price MA')\n", "pyplot.legend(loc=2)\n", "ax2 = ax1.twinx()\n", "ax2.plot(r, cseries2, c='black', label='UGA Price MA')\n", "pyplot.ylabel('UGA Price MA')\n", "pyplot.legend(loc=4)\n", "pyplot.title(\"-50 Day Offset\")\n", "pyplot.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is my opinion that the 50-day offset is a better fit. Not only do the 50-day plots visually appear to correspond more strongly (we can line up all major movements), it is also more plausible that gas price leads Tesla by 50 business days, rather than by 120 business days. However, looking at the 50-day plot, it is nonetheless surprising that the Spearman correlation is so low:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(0.54744356442426789, 6.2332048775765889e-20)\n" ] } ], "source": [ "print scipy.stats.spearmanr(scores_tsla_means2[d:][250:],scores_uga_means[:len(scores_tsla_means2)-d][250:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A correlation of 0.08 is statistically extremely weak -- basically signifying no relationship. To me, the visual relationship looks stronger than that. I guessed that there could be some noise obscuring the correlation, so I applied a second round of Kalman filters to both datasets. Doing this, I was able to drive the maximum correlation up to 0.20, but that's still not as strong as we would want.\n", "\n", "I think the issue is twofold:\n", "1. The price of TSLA is not only impacted by gas -- there are obviously other factors, like earnings reports, rumours, etc. This causes occasional movements in price that are not related to the price of gas.\n", "2. The offset is not necessarily constant -- in the plot above, you can see that some movements seem not to line up entirely (which, of course, has disastrous consequences for the numerical correlation), and that's to be expected: there's no reason why the offset should always be 50 business days -- sometimes TSLA may take longer to respond, and at other times it may respond more quickly.\n", "\n", "In any case, I consider the above plot quite compelling -- I will devote a future investigation to attempting to trade on the lag between TSLA and UGA. I invite you to do the same." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.6" } }, "nbformat": 4, "nbformat_minor": 0 }