{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction to Volume, Slippage, and Liquidity\n", "by Delaney Mackenzie and Maxwell Margenot\n", "\n", "Part of the Quantopian Lecture Series:\n", "\n", "* [www.quantopian.com/lectures](www.quantopian.com/lectures)\n", "* [github.com/quantopian/research_public](github.com/quantopian/research_public)\n", "\n", "\n", "\n", "## What is Volume?\n", "Volume is how much trading occurs for a given instrument, or set of instruments, over a given time period. \n", "\n", "### Example Volume Computation\n", "For instance, consider a hypothetical equity asset $A$. If, over the course of a minute, $100,000$ shares of $A$ are bought, then the shares traded volume of $A$ is $100,000$. To find the dollar volume traded for $A$, which is the more often-used statistic, we need to take a weighted average of all the different prices $A$ traded for over the minute times the number of shares that traded at each price. This is equivalent to adding up the dollar volumes of all the individual trasnactions that occured. For instance, let's say in this case there were there separate transactions. One for 30,000 shares, one for $60,000$ shares, and one for $10,000$ shares. The prices were $30$ USD, $31$ USD, and $33$ USD, respectively. Let's model this out." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "3090000" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "num_shares = np.asarray([30000, 60000, 10000])\n", "prices = np.asarray([30, 31, 33])\n", "\n", "np.dot(num_shares, prices)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So total dollar volume is $3.09$ million USD. Notice that this is equivalent to taking the dollar volume averaged price and multiplying by the number of shares traded over that bar." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average trade price: 31.3333333333\n", "Volume weighted average trade price: 30.9\n", "Volume: 3090000.0\n" ] } ], "source": [ "# Get the average trade price\n", "print \"Average trade price: %s\" % (np.mean(prices))\n", "\n", "# Get the volume weighted average\n", "vw = np.dot(num_shares, prices) / float(np.sum(num_shares))\n", "print \"Volume weighted average trade price: %s\" % (vw)\n", "\n", "# Go back to volume\n", "v = vw * np.sum(num_shares)\n", "print \"Volume: %s\" % (v)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Often in real datasets you will be given averaged or 'last traded' data rather than individual trades. With averaged data, some average is taken over a bar (time period). With last traded data, only the final observation from that bar is reported. It is important to know if the data is averaged, volume averaged, or simply last traded. All of these will need to be treated differently.\n", "\n", "For pricing data, Quantopian currently (as of April 2017) provides the last traded prices at a minute resolution. The volume is the sum of all volume in that bar. While we do not offer minutely volume-weighted price, daily volume-weighted price can be approximated from the minute bars.\n", "\n", "Let's look at some volume data." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data = get_pricing('SPY', start_date='2015-6-1', end_date='2015-6-20', frequency='minute')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
open_pricehighlowclose_pricevolumeprice
2015-06-01 13:31:00+00:00210.914211.033210.834211.0131130598.0211.013
2015-06-01 13:32:00+00:00211.013211.083210.993211.043860265.0211.043
2015-06-01 13:33:00+00:00211.043211.048210.934210.964466341.0210.964
2015-06-01 13:34:00+00:00210.964210.983210.844210.854305119.0210.854
2015-06-01 13:35:00+00:00210.864210.894210.725210.725420599.0210.725
\n", "
" ], "text/plain": [ " open_price high low close_price \\\n", "2015-06-01 13:31:00+00:00 210.914 211.033 210.834 211.013 \n", "2015-06-01 13:32:00+00:00 211.013 211.083 210.993 211.043 \n", "2015-06-01 13:33:00+00:00 211.043 211.048 210.934 210.964 \n", "2015-06-01 13:34:00+00:00 210.964 210.983 210.844 210.854 \n", "2015-06-01 13:35:00+00:00 210.864 210.894 210.725 210.725 \n", "\n", " volume price \n", "2015-06-01 13:31:00+00:00 1130598.0 211.013 \n", "2015-06-01 13:32:00+00:00 860265.0 211.043 \n", "2015-06-01 13:33:00+00:00 466341.0 210.964 \n", "2015-06-01 13:34:00+00:00 305119.0 210.854 \n", "2015-06-01 13:35:00+00:00 420599.0 210.725 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that just plotting the volume gives us lots of gaps. This is because we are plotting data with time on the x-axis, and equities are only traded during part of the day. The rest of the day we have no data for volume. There is a small amount of overnight trading that occurs for equities, but it is often only useful as a data source as the liquidity is too low to trade. Quantopian does not currently have data on overnight trading, just for regular market hours." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAHiCAYAAAD1UW2SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(data['volume'])\n", "plt.ylabel('Volume (USD)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at how this volume is balanced out over a single day." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2wAAAHiCAYAAACUSU/QAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3X14VPWd///X3CRDbgi5kVCEtVX5Ct+yhoWsV0QWUCqs\nF1t31/6CWiK2i1vbuqvVBrZKBbF7/QClXFzuVbGlWpEiX8pKvb5q5aYtlkXu1MBiaRelxZtSNGGA\nQAJJ5uac7x8z52QmEAjJZHJyzvPxj+ZwZuYzOZk5533e78/74zNN0xQAAAAAwHH8fT0AAAAAAMD5\nEbABAAAAgEMRsAEAAACAQxGwAQAAAIBDEbABAAAAgEMRsAEAAACAQwV788lbW1v18MMP6/jx44pE\nIvrmN7+pzZs368CBAyopKZEk3XPPPZo8ebJeeeUVrV69WoFAQDNmzFB1dbVisZgefvhhHT16VIFA\nQIsXL9bw4cN18OBBLVy4UH6/XyNHjtRjjz0mSXr22We1efNm+f1+3XfffZo8ebKam5tVW1urpqYm\nFRQUaNmyZSoqKurNtw0AAAAAGeHrzXXYXn/9dX3yySe65557dPToUf3TP/2Txo0bp1tuuUWTJ0+2\n92tpadFtt92mDRs2KBgMqrq6Wi+++KK2bt2q3/72t5o/f7527Nihl156ScuXL9fdd9+t73znOxo9\nerRqa2v1j//4j7ryyiv1rW99S+vXr9epU6dUU1Oj119/XU8//bTy8/M1e/ZsrV+/Xh9//LHmzJnT\nW28ZAAAAADKmV0sip0+frnvuuUeSdPToUQ0dOlSS1DFG3L9/vyoqKlRQUKBQKKRx48aprq5Ou3bt\n0s033yxJuuGGG7Rv3z5Fo1EdOXJEo0ePliRNmTJFO3fu1J49ezRp0iQFAgGVlpZq2LBhOnTokHbv\n3q2pU6dKkm666Sbt3LmzN98yAAAAAGRMr5ZEWu688041NDTohz/8oZ5//nm9+OKLev7553XZZZfp\n0UcfVTgcVmlpqb1/aWmpjh07lrbd5/PJ5/MpHA6ruLg4bd+GhgaVlJSkPUdZWZn9HFb5ZVlZmcLh\ncDbeMgAAAAD0WFYCtnXr1ungwYOaM2eO5s2bp+LiYo0aNUorV67UD37wA40dOzZt/86qNE3TlM/n\n6/TfUxmGcd7Hd0VdXV2X9gMAAADgXZWVlb3+Gr0asB04cEBlZWUaOnSoRo0apXg8rmuuucbOhH3h\nC1/QwoULdcstt+iNN96wH1dfX6+xY8eqvLxc4XBYI0eOVCwWk2maGjx4sBobG9P2HTJkiMrLy3X4\n8OHzbg+HwyosLFR9fb3Ky8u7NPZs/PL7Wl1dnSfep1dxfN2PY+xuHF/34xi7G8fX/bKV5OnVOWzv\nvPOOnn/+eUlSOBzW2bNn9dhjj+m9996TJL311lu65pprVFFRoQMHDqi5uVlnzpzRvn37VFlZqQkT\nJmjTpk2SpK1bt6qqqkqBQEBXXXWV9u7dK0nasmWLJk6cqKqqKm3btk2xWEz19fVqaGjQiBEjNGHC\nBG3cuDFtXwAAAADoD3o1w/blL39Z8+bNU01Njdra2vTYY48pPz9fjzzyiAoKClRQUKBFixYpFAqp\ntrZWs2fPlt/v1/3336/CwkJNnz5dO3bs0MyZMxUKhbRkyRJJ0rx587RgwQKZpqkxY8Zo/PjxkqTb\nb79dNTU18vl8evzxxyVJs2bN0ty5c1VTU6OioiItXbq0N98yAAAAAGRMr7b176+8ksL2yvv0Ko6v\n+3GM3Y3j634cY3fj+Lpfto5xr5ZEAgAAAAC6j4ANAAAAAByKgA0AAAAAHIqADQAAAAAcioANAAAA\nAByKgA0AAAAAHIqADQAAAAAcioANAAAAAByKgA0AAAAAHIqADQAAAAAcioANAAAAAByKgA0AAAAA\nHIqADQAAAAAcioANAAAAAByKgA0AAAAAHIqADQAAAAAcioANAAAAAByKgA0AAAAAHIqADQAAAAAc\nioANAAAAAByKgA0AAAAAHIqADQAAAAAcioANAAAAALoobphatOqtrL0eARsAAAAAdFFjU6t2/faT\nrL0eARsAAAAAdJFhZPf1CNgAAAAAoItM08zq6xGwAQAAAEAXGQRsAAAAAOBMWY7XCNgAAAAAoKso\niQQAAAAAh6IkEgAAAAAcipJIAAAAAHAoMmwAAAAA4FBk2AAAAADAoWg6AgAAAAAOZRgEbAAAAADg\nSJREAgAAAIBD0XQEAAAAAByKOWwAAAAA4FCURAIAAACAQ1ESCQAAAAAORYYNAAAAAByKDBsAAAAA\nOBRNRwAAAADAoUwju69HwAYAAAAAXURJJAAAAAA4FE1HAAAAAMChyLABAAAAgEPRdAQAAAAAHIqS\nSAAAAABwKEoiAQAAAMChKIkEAAAAAIcyKIkEAAAAAGciwwYAAAAADmUa2X09AjYAAAAA6KJsNx0J\n9uaTt7a26uGHH9bx48cViUT0zW9+U6NGjdLcuXNlmqYGDx6sJ598Ujk5OXrllVe0evVqBQIBzZgx\nQ9XV1YrFYnr44Yd19OhRBQIBLV68WMOHD9fBgwe1cOFC+f1+jRw5Uo899pgk6dlnn9XmzZvl9/t1\n3333afLkyWpublZtba2amppUUFCgZcuWqaioqDffNgAAAACXclVJ5NatW3Xttdfqpz/9qZYvX67F\nixfrqaee0l133aU1a9boiiuu0IYNG9TS0qIVK1bohRde0OrVq/XCCy/o9OnTeu211zRo0CCtXbtW\n3/jGN7Rs2TJJ0qJFizR//nytXbtWp0+f1vbt23XkyBFt3LhR69at0zPPPKMlS5bINE2tWrVKVVVV\nWrt2raZOnaqVK1f25lsGAAAA4GKuajoyffp03XPPPZKko0ePaujQoXr77bc1ZcoUSdJNN92knTt3\nav/+/aqoqFBBQYFCoZDGjRunuro67dq1SzfffLMk6YYbbtC+ffsUjUZ15MgRjR49WpI0ZcoU7dy5\nU3v27NGkSZMUCARUWlqqYcOG6dChQ9q9e7emTp2a9noAAAAA0B3ZzrD1akmk5c4771RDQ4OeeeYZ\nzZ49Wzk5OZKksrIyNTQ06Pjx4yotLbX3Ly0t1bFjxxQOh+3tPp9PPp9P4XBYxcXFafs2NDSopKQk\n7TnKysrs5ygpKbG3hcPhbLxlAAAAAC7kyoBt3bp1OnjwoObMmZP2Bjt7sxfa7vP5uvRLMoxz27dc\nyi+3rq6uy/v2Z155n17F8XU/jrG7cXzdj2Psbhxfd/rgwzNZfb1eDdgOHDigsrIyDR06VKNGjZJh\nGCooKFAkElFubq7q6+s1ZMgQlZeX69ixY/bj6uvrNXbsWJWXlyscDmvkyJGKxWJ2o5LGxsa0fa3n\nOHz48Hm3h8NhFRYWqr6+XuXl5V0ae2VlZeZ+EQ5VV1fniffpVRxf9+MYuxvH1/04xu7G8XWvcPQj\nac/JrL1er85he+edd/T8889LksLhsM6ePavx48dr06ZNkqTNmzdr4sSJqqio0IEDB9Tc3KwzZ85o\n3759qqys1IQJE+x9t27dqqqqKgUCAV111VXau3evJGnLli2aOHGiqqqqtG3bNsViMdXX16uhoUEj\nRozQhAkTtHHjxrR9AQAAAKA7XFUS+eUvf1nz5s1TTU2N2tratHDhQo0ePVr/9m//pvXr1+vyyy/X\nbbfdpkAgoNraWs2ePVt+v1/333+/CgsLNX36dO3YsUMzZ85UKBTSkiVLJEnz5s3TggULZJqmxowZ\no/Hjx0uSbr/9dtXU1Mjn8+nxxx+XJM2aNUtz585VTU2NioqKtHTp0t58ywAAAABczFUBWygUslvx\np/rJT35yzrZp06Zp2rRpadv8fr8WL158zr5XX321XnzxxXO219TUqKamJm1bfn6+nn766UsdOgAA\nAACcw1Vt/QEAAADATVy1cDYAAAAAuIlBwAYAAAAAzpTleI2ADQAAAAC6ipJIAAAAAHAow8ju6xGw\nAQAAAEAXkWEDAAAAAIei6QgAAAAAOBRNRwAAAADAoSiJBAAAAACHMsiwAQAAAIAzkWEDAAAAAIei\n6QgAAAAAOBRNRwAAAADAoSiJBAAAAACHMrLcdYSADQAAAAC6iJJIAAAAAHAomo4AAAAAgEORYQMA\nAAAAh6LpCAAAAAA4FCWRAAAAAOBQlEQCAAAAgEORYQMAAAAAhyLDBgAAAAAORdMRAAAAAHAowyBg\nAwAAAABHoiQSAAAAAByKpiMAAAAA4FDMYQMAAAAAh6IkEgAAAAAcipJIAAAAAHAoMmwAAAAA4FBk\n2AAAAADAoWg6AgAAAAAORUkkAAAAADiUYZBhAwAAAACIgA0AAAAAuoymIwAAAADgUMxhAwAAAACH\nIsMGAAAAAA5l0nQEAAAAAJyJkkgAAAAAcChKIgEAAADAociwAQAAAIBDkWEDAAAAAIcyTVN+X/Ze\nj4ANAAAAALrINCWfL3sRGwEbAAAAAHSRYZoEbAAAAADgRJREAgAAAIBDGabky2LERsAGAAAAAF1E\nhg0AAAAAHMo0aDoCAAAAAI5E0xEAAAAAcChKIgEAAADAoQzWYQMAAAAAZ0pk2LIXsAV7+wWefPJJ\n7d27V/F4XPfee6+2bt2qAwcOqKSkRJJ0zz33aPLkyXrllVe0evVqBQIBzZgxQ9XV1YrFYnr44Yd1\n9OhRBQIBLV68WMOHD9fBgwe1cOFC+f1+jRw5Uo899pgk6dlnn9XmzZvl9/t13333afLkyWpublZt\nba2amppUUFCgZcuWqaioqLffNgAAAAAXMk1TWYzXejdg27Nnj/7whz9o3bp1amxs1G233abrr79e\nc+bM0eTJk+39WlpatGLFCm3YsEHBYFDV1dWaNm2atm7dqkGDBun73/++duzYoWXLlmn58uVatGiR\n5s+fr9GjR6u2tlbbt2/XlVdeqY0bN2r9+vU6deqUampqNGnSJK1atUpVVVWaPXu21q9fr5UrV2rO\nnDm9+bYBAAAAuJSrSiKvu+46PfXUU5KkoqIinT17VoZhyDTNtP3279+viooKFRQUKBQKady4caqr\nq9OuXbt08803S5JuuOEG7du3T9FoVEeOHNHo0aMlSVOmTNHOnTu1Z88eTZo0SYFAQKWlpRo2bJgO\nHTqk3bt3a+rUqZKkm266STt37uzNtwwAAADAxVzVdMTv9ysvL0+S9J//+Z+68cYb5ff7tWbNGn3l\nK19RbW2tTp48qXA4rNLSUvtxpaWlOnbsWNp2n88nn8+ncDis4uLitH0bGhp0/PjxtOcoKyuzn8Mq\nvywrK1M4HO7NtwwAAADAxQxT8mUxYuv1OWyS9Ktf/Uo///nP9dxzz+nAgQMqLi7WqFGjtHLlSv3g\nBz/Q2LFj0/bvmIFL3e7z+Tr991SGYZz38V1VV1fX5X37M6+8T6/i+Lofx9jdOL7uxzF2N46vO7W1\ntklumcMmSdu3b9fKlSv13HPPqbCwUNdff739b1/4whe0cOFC3XLLLXrjjTfs7fX19Ro7dqzKy8sV\nDoc1cuRIxWIxmaapwYMHq7GxMW3fIUOGqLy8XIcPHz7v9nA4rMLCQtXX16u8vLxL466srMzAu3e2\nuro6T7xPr+L4uh/H2N04vu7HMXY3jq975fxiswKB7DXb79VXam5u1tKlS/XDH/5QAwcOlCQ98MAD\neu+99yRJb731lq655hpVVFTowIEDam5u1pkzZ7Rv3z5VVlZqwoQJ2rRpkyRp69atqqqqUiAQ0FVX\nXaW9e/dKkrZs2aKJEyeqqqpK27ZtUywWU319vRoaGjRixAhNmDBBGzduTNsXAAAAALrDMOWetv6v\nv/66Ghsb9eCDD9rljF/60pf0yCOPqKCgQAUFBVq0aJFCoZBqa2s1e/Zs+f1+3X///SosLNT06dO1\nY8cOzZw5U6FQSEuWLJEkzZs3TwsWLJBpmhozZozGjx8vSbr99ttVU1Mjn8+nxx9/XJI0a9YszZ07\nVzU1NSoqKtLSpUt78y0DAAAAcLFst/X3mZcyscsjvJLC9sr79CqOr/txjN2N4+t+HGN34/i616zH\nNqkgL0dfm1qclWOcveJLAAAAAOjnDNOUP4tRFAEbAAAAAHSRNdUrWwjYAAAAAKCLst10hIANAAAA\nALoo201HCNgAAAAAoIsoiQQAAAAAh0qURGbv9QjYAAAAAKCLTIMMGwAAAAA4Ek1HAAAAAMChaDoC\nAAAAAA5F0xEAAAAAcChTkj+LXUcI2AAAAACgC0zTlGmKkkgAAAAAcBrTTPyXpiMAAAAA4DBmMmIj\nwwYAAAAADmMkM2w0HQEAAAAAh7EybJREAgAAAIDDGJREAgAAAIAzmZREAgAAAIAzURIJAAAAAA7V\n3nQke69JwAYAAAAAXWBn2Pxk2AAAAADAUQyDpiMAAAAA4Eg0HQEAAAAAh6LpCAAAAAA4FOuwAQAA\nAIBDWSWRZNgAAAAAwGHIsAEAAACAQ9F0BAAAAAAciqYjAAAAAOBQlEQCAAAAgEPZTUf8ZNgAAAAA\nwFEMw8qwEbABAAAAgKOYlEQCAAAAgDOxDhsAAAAAOBRNRwAAAADAociwAQAAAIBDtWfYCNgAAAAA\nwFFoOgIAAAAADmWVRJJhAwAAAACHsUois7huNgEbAAAAAHSFaST+S4YNAAAAAByGtv4AAAAA4FCm\nXRJJhg0AAAAAHIWmIwAAAADgUDQdAQAAAACHstdhy2LERsAGAAAAAF1g2CWR2XtNAjYAAAAA6AKa\njgAAAACAQ9F0BAAAAAAcyqTpCAAAAAA4Exk2AAAAAHAoq60/ARsAAAAAOAwlkQAAAADgUAYlkQAA\nAADgTH2RYQv29gs8+eST2rt3r+LxuO69915de+21mjt3rkzT1ODBg/Xkk08qJydHr7zyilavXq1A\nIKAZM2aourpasVhMDz/8sI4ePapAIKDFixdr+PDhOnjwoBYuXCi/36+RI0fqsccekyQ9++yz2rx5\ns/x+v+677z5NnjxZzc3Nqq2tVVNTkwoKCrRs2TIVFRX19tsGAAAA4DKmkfivL4sRW69m2Pbs2aM/\n/OEPWrdunX784x9r0aJFeuqpp3TXXXdpzZo1uuKKK7Rhwwa1tLRoxYoVeuGFF7R69Wq98MILOn36\ntF577TUNGjRIa9eu1Te+8Q0tW7ZMkrRo0SLNnz9fa9eu1enTp7V9+3YdOXJEGzdu1Lp16/TMM89o\nyZIlMk1Tq1atUlVVldauXaupU6dq5cqVvfmWAQAAALiUI5uOGIahd999V6+//rpef/11vfvuuzIM\no0tPft111+mpp56SJBUVFens2bN6++23NWXKFEnSTTfdpJ07d2r//v2qqKhQQUGBQqGQxo0bp7q6\nOu3atUs333yzJOmGG27Qvn37FI1GdeTIEY0ePVqSNGXKFO3cuVN79uzRpEmTFAgEVFpaqmHDhunQ\noUPavXu3pk6dmvZ6AAAAAHCpHFUSaRiGnnvuOa1atUqXX365hg4dKkk6evSoPv30U331q1/V7Nmz\n5fd3HvP5/X7l5eVJkl566SXdeOONevPNN5WTkyNJKisrU0NDg44fP67S0lL7caWlpTp27JjC4bC9\n3efzyefzKRwOq7i4OG3fhoYGlZSUpD1HWVmZ/RwlJSX2tnA4fMm/JAAAAADoi6YjnQZs9957r0aP\nHq3XXnvNDngsJ0+e1KpVq/T1r39dP/7xjy/6Ir/61a+0YcMGPffcc5o2bZq93YpQO7rQdp/P1+m/\npzpfFrArj7PU1dV1ed/+zCvv06s4vu7HMXY3jq/7cYzdjePrPh98cEaS9PFHH6ns6oKsvGanAdsD\nDzygioqK8/5bSUmJHnroIb377rsXfYHt27dr5cqVeu6551RYWKiCggJFIhHl5uaqvr5eQ4YMUXl5\nuY4dO2Y/pr6+XmPHjlV5ebnC4bBGjhypWCxmNyppbGxM29d6jsOHD593ezgcVmFhoerr61VeXt6l\nX0xlZWWX9uvP6urqPPE+vYrj634cY3fj+Lofx9jdOL7udDL+kbT7pK688nOSjl145wzptJ6xoqJC\nBw4c0IMPPqi/+7u/06233qpHHnlE77//fto+F9Lc3KylS5fqhz/8oQYOHChJGj9+vDZv3ixJ2rx5\nsyZOnGi/VnNzs86cOaN9+/apsrJSEyZM0KZNmyRJW7duVVVVlQKBgK666irt3btXkrRlyxZNnDhR\nVVVV2rZtm2KxmOrr69XQ0KARI0ZowoQJ2rhxY9q+AAAAAHCpHFUS+c4772ju3Lm677779C//8i9q\nampSXV2d/vmf/1nLly/v0h2D119/XY2NjXrwwQftcsYnnnhC3/3ud/Wzn/1Ml19+uW677TYFAgHV\n1tbac+Luv/9+FRYWavr06dqxY4dmzpypUCikJUuWSJLmzZunBQsWyDRNjRkzRuPHj5ck3X777aqp\nqZHP59Pjjz8uSZo1a5bmzp2rmpoaFRUVaenSpZn4vQEAAADwmL5oOuIzO5nY9bWvfU0PPfSQPv/5\nz6dt/+1vf6snnnhCa9asycoA+4JXUtheeZ9exfF1P46xu3F83Y9j7G4cX3fauOtDrXhpv+bUVKrQ\nrM/KMe60JLKlpeWcYE2Srr32Wp09e7ZXBwUAAAAATtOeYXPAOmwXatdfWFjYK4MBAAAAAKcyk5PY\nfBddzTpzOp3D1tDQoJdeeum8/5ba0REAAAAAvMBRTUfGjh3b6doRf/VXf9VrAwIAAAAAJ+qLpiOd\nBmyLFy/O3igAAAAAwOH6IsPWafXlp59+qkWLFtk/L1++XH/913+tL33pS/rwww+zMTYAAAAAcAxH\nNR2ZP3++rrjiCknS73//e7300kvasGGDvv3tb5N9AwAAAOA5VsCWxXit84CtqalJd911lyRpy5Yt\nmj59uj772c/qb/7mb9Ta2pq1AQIAAACAEziqJDIUCtn//9Zbb+n666+3fzYMo3dHBQAAAAAO0xcl\nkZ02HfH5fDp48KCampr0/vvv64YbbpAk1dfXKxKJZG2AAAAAAOAERkpJpJml1+w0YPv2t7+tb33r\nWzp16pTmz5+vvLw8tba2asaMGXrkkUeyNDwAAAAAcIZkvCa/z6ds1Rx2GrBVVFRo8+bNadsGDBig\nVatW6aqrrur1gQEAAACAk5jJSWy+TieWZV6nAdvbb7+d9rPP51NhYaFGjhzZ64MCAAAAAKfpi6Yj\nnQZsy5cvP2fb8ePHlZeXpxUrVujyyy/v1YEBAAAAgJM4qunI2rVrz7v9N7/5jZYsWaL/+I//6LVB\nAQAAAIDTGE5ah60zN954oxobG3tjLAAAAADgWFbTEZ8csA7bhcRisUyPAwAAAAAczSqJdETTkfMt\njt3Y2Kj169fr6quv7tVBAQAAAIDTGClt/bOl04Dt85///DndT/Lz8/W3f/u3+u53v9vrAwMAAAAA\nJzH7YA5bpwHbwYMHszcKAAAAAHC49qYjDpjD9sADD+j06dOdPvDUqVN64IEHemVQAAAAAOA0ppNK\nIr/85S9rxowZmjhxoiZOnKihQ4dKkj755BNt375d27dv1+OPP561gQIAAABAXzINB5VEjh8/Xi+/\n/LLWr1+v1atX69NPP5UkfeYzn9HEiRP18ssvKz8/P2sDBQAAAIC+ZDhp4Wwp0WTkq1/9qr761a9m\naTgAAAAA4Ez2OmxOXjgbAAAAALwoGa85o+kIAAAAAKCd1dbf7ydgAwAAAABHMfqg6chFA7aDBw/q\nS1/6km655RZJ0tNPP639+/f3+sAAAAAAwEn6oq3/RQO2733ve1q0aJEGDx4sSZo+fboWL17c6wMD\nAAAAACdx1MLZlmAwqFGjRtk/X3nllQoGL9hcEgAAAABcxzQdWBIZDAb1pz/9yY4it23bZg8UAAAA\nALyiL0oiL5oq+853vqP77rtPH3zwgSorKzVs2DA98cQT2RgbAAAAADiG0QcZtosGbCNHjtSrr76q\nEydOKDc3V4WFhdkYFwAAAAA4iiMzbO+9955+/vOfq6mpKa0UksYjAAAAALykL5qOXDRg+9a3vqUv\nfvGLGjFiRDbGAwAAAACO1BdNRy4asA0bNkz/+q//mo2xAAAAAIBj2SWRfgdl2P7+7/9eK1as0Nix\nY9Pa+V933XW9OjAAAAAAcBLDcGBJ5KuvvqoPPvhAb775pr3N5/PpxRdf7NWBAQAAAICTtDcdyd5r\nXjRgO3HihH79619nYywAAAAA4Fh90XTkogtnX3fddfr444+zMRYAAAAAcCxHNh3ZsWOH1qxZo5KS\nEgWDQZmmKZ/Pp9/85jdZGB4AAAAAOIMj12H70Y9+lI1xAAAAAICjOXIdtl27dp13e3V1dcYHAwAA\nAABOZZVEOqrpSF1dnf3/kUhE7777rsaNG0fABgAAAMBTrJJIR2XYFi9enPZzS0uLHnnkkV4bEAAA\nAAA4kdEHTUcu2iWyo7y8PLpGAgAAAPAc00wEa47KsM2cOTNtQPX19Ro5cmSvDgoAAAAAnMYwzKwG\na1IXArYHH3zQ/n+fz6fCwkKNGjWqVwcFAAAAAE5jmmZWG45IFwjYOusO2djYqN27d2v8+PG9NigA\nAAAAcJpESaRDMmwrVqzo9EE+n4+ADQAAAICnGKaDSiJ/+tOfZnMcAAAAAOBofVESedEukX/84x91\n9913a9y4caqsrNQ999xDl0gAAAAAnmP0QUnkRQO2f//3f9fs2bP15ptv6r/+679055136rHHHsvG\n2AAAAADAMRyZYTNNUzfeeKPy8/NVUFCgqVOnKh6PZ2NsAAAAAOAYfdF05KIBWzQa1e9+9zv753ff\nffeSAraDBw9q6tSpevHFFyVJjzzyiG699Vbdfffduvvuu7Vt2zZJ0iuvvKLq6mrdcccdeumllyRJ\nsVhMc+bM0cyZMzVr1iwdOXLEfs4777xTM2fO1OOPP26/1rPPPqsZM2bojjvusJ+3ublZX//61zVz\n5kx97Wtf0+nTp7s8dgAAAACwOKrpiOU73/mOamtrdeLECUnS4MGD9cQTT3TpyVtaWvTEE09owoQJ\nadvnzJmjyZMnp+23YsUKbdiwQcFgUNXV1Zo2bZq2bt2qQYMG6fvf/7527NihZcuWafny5Vq0aJHm\nz5+v0aMCSKjlAAAgAElEQVRHq7a2Vtu3b9eVV16pjRs3av369Tp16pRqamo0adIkrVq1SlVVVZo9\ne7bWr1+vlStXas6cOZfyOwIAAACAREnkRVNemdXpy9XX10uSxowZo02bNunXv/61tm7dql/84hf6\ny7/8yy49eSgU0o9+9CNddtllF9xv//79qqioUEFBgUKhkMaNG6e6ujrt2rVLN998syTphhtu0L59\n+xSNRnXkyBGNHj1akjRlyhTt3LlTe/bs0aRJkxQIBFRaWqphw4bp0KFD2r17t6ZOnSpJuummm7Rz\n584ujR0AAAAAUhmGg0oib731Vt17773asmWLYrGYBg4cqMLCwkt7cr9fubm552xfs2aNvvKVr6i2\ntlYnT55UOBxWaWmp/e+lpaU6duxY2nafzyefz6dwOKzi4uK0fRsaGnT8+PG05ygrK7Ofo6SkxN4W\nDocv6T0AAAAAgJTIsGW550jnJZHbt2/XL3/5S61fv17f+973dOutt6q6ulpXX311j17wH/7hH1Rc\nXKxRo0Zp5cqV+sEPfqCxY8em7WOa5nkfayZrRjv791SGYZz38V1VV1fX5X37M6+8T6/i+Lofx9jd\nOL7uxzF2N46v+7S0tioWN7N6bDsN2EKhkL74xS/qi1/8ohoaGvTqq6/qoYceUn5+vqqrq1VdXd2t\nF7z++uvt///CF76ghQsX6pZbbtEbb7xhb6+vr9fYsWNVXl6ucDiskSNHKhaLyTRNDR48WI2NjWn7\nDhkyROXl5Tp8+PB5t4fDYRUWFqq+vl7l5eVdGmdlZWW33l9/UldX54n36VUcX/fjGLsbx9f9OMbu\nxvF1p9xNv1QgbqiysjJrQVuXpsyVl5frnnvu0fLlyzVs2DB973vf6/YLPvDAA3rvvfckSW+99Zau\nueYaVVRU6MCBA2pubtaZM2e0b98+VVZWasKECdq0aZMkaevWraqqqlIgENBVV12lvXv3SpK2bNmi\niRMnqqqqStu2bVMsFlN9fb0aGho0YsQITZgwQRs3bkzbFwAAAAAulWma8mV5IbaLdok8deqUXnvt\nNb388suKRCKqrq7Wo48+2qUn379/vx599FGdOHFCgUBA69at0wMPPKBHHnlEBQUFKigo0KJFixQK\nhVRbW6vZs2fL7/fr/vvvV2FhoaZPn64dO3Zo5syZCoVCWrJkiSRp3rx5WrBggUzT1JgxYzR+/HhJ\n0u23366amhr5fD673f+sWbM0d+5c1dTUqKioSEuXLu3u7wpwrZOnW/X2/9Tr5uuukD/bq0ECAAD0\nE4aprF8rdRqwbd26VS+//LLq6uo0depULViwQBUVFZf05GPGjNGrr756znara2OqadOmadq0aWnb\n/H6/Fi9efM6+V199tb2uW6qamhrV1NSkbcvPz9fTTz99SeMGvGbTrg+1dst7+tzQIl1zRUlfDwcA\nAMCRTNOU3ynrsP3kJz9RdXW1li5dqgEDBmRzTACyrC0alyS1RmJ9PBIAAADnMs3st/XvNGBbs2ZN\nNscBoA/FjUQH1Vis651UAQAAvCaRYcvua2Z5nW4ATmQkl7yIxc9dDgMAAAAJfZFhI2ADICOZYYsS\nsAGudrKpVa/v/EBxPusA0C1Gcl3obCJgA2AHbLEYF3GAm/3qrY/1zIZ3dfCjk309FADolyiJBNAn\nkvEaJZGAy1kNhqz/AgAujUFJJIC+YGfY4jQdAdzM+qxb/wUAXJq+aOtPwAZAcSORWSPDBribFagx\nhw0Ausc0TfmyHEERsAFIybBxEQe4mbWER5wMGwB0CyWRAPpEMsFG0xHA5QjYAKBnTIOmIwD6AOuw\nAd5gELABQI+QYQPQJ1iHDfCGuN10hM86AHQHTUcA9Ak7w0ZJJOBqVrOROB1hAaBbTNNUluM1AjYA\nlEkBXmHdnOGzDgDdQ0kkgD5hXbyRYQPcjaYjANB9ZvKmFyWRALLOuuvOHDbA3Yy4FbDxWQeAS2Xd\n66IkEkDWsQ4b4A1x02o6QoYNAC4VGTYAfcYO2GJcxAFuZs9XpekIAFwyK2AjwwYg61iHDfCGeJw5\nbADQXXZJZJZXziZgA0BJJOARdIkEgO4zDUoiHYWTGbyEgA3wBnsdNpqOAMAlMyiJdBaDkxk8hJJI\nwBusm5E0HQGAS5e8XCLD5hQxJmTDQ9ozbPzdA25ml0T28LN+9Fizlrzwtk6cbs3EsACgX6DpiMPE\nyTTAQ6yEMgtnA+6WqaYj7xys1453j+p3fzyeiWEBQL/Qvg4bGTZHYA4bvISFswFvsNv697DsPxJN\nPD7G9AEAHsI6bA7DXB54SZymI4AnxDPUJTISjSeeh+8MAB5C0xGHYVFReEn7wtlcfAFuZsQz03TE\nCtiY9wrAS2g64jCUecBL7C6RlAIDrmaVQvb0pmQkZj0P50oA3tHedISAzRHIsMFLyLAB3tC+cHZP\n57AlM2zc5AHgIVY5uS/LERQBWydoOgIvYR02wBsy1SWSOWwAvMi6sZ0TyG4IRcDWCS5c4SUGTUcA\nT4gbGQrYkhctzGED4CVRK2ALErA5AncN4SWURALeYGXTM9V0hHMlAC9pD9gCWX1dArZOUBIJL6Ek\nEvAGuySyp01HmMMGwIMiscR3X24OGTZHoOkIvMS6226Y3KwA3CzTC2eTYQPgJVHmsDkLmQZ4SWp5\nFBdggHtlbg4b67AB8B4rYAsyh80ZyDLAS6ySSImbFYCbGcnMWs/nsJFhA+A9zGFzGE5C8JLUP/co\njUcA18pYho05bAA8KMocNmfhJAQvSb3bToYNcC97DlsPP+fWRQudZQF4CXPYHIYMG7wkvSSSmxWA\nW2Uqw9aWLImM9bB5CQD0J6zD5jDMYYOXkGEDvCHTJZF0VAbgJcxhcxgybPCKjs0HKHEC3Cn1s96T\npiOmadoXLdzgAeAlZNgchrIweEVqOaTEBRjgVqlZtZ6swxZJualDhg2Al1jzdwnYHIIMG7zinAwb\nf/uAK6UGaT0JtKLJckiJOWwAvIUMm8Mwhw1ecW7Axt8+4EZGWoat+5/ztpSAjZubALyEgM1huGiF\nV5xTEskcNsCVMhWwWYtmS5wrAXhLNE7TEUfpSX0/0J90zLBFuWMOuFLaHLYefM4jMTJsALzJ6pBL\nhs0hKImEV3T8W2cOG+BOmcuwpc5h41wJwDsoiXQYLlrhFXSJBLwh3gslkWTYAHhJjIDNWWhVDK+g\n6QjgDfG0ddh6UBKZmmHj+wKAhzCHzWHIMsArOl630XQEcKe0ksietPWPkWED4E2URDpMx6wD4FZW\nSWTA75PEzQrArdLWYctQW3/msAHwEqvCIJeAzRm4aIVXWDcncnMS6X3+9gF36jiHzTS7F2xFWIcN\ngEdFY4b8PikQIGBzBLpEwiusDFuIgA1wtY6VI909zUXSSiI5VwLwjmjcUDDL89ckArZOcdEKr2jP\nsCW+DqLMYQNcqeONyO42HklvOsL3BQDviMWMrM9fkwjYOkWGDV5xbkkkf/uAG3XMsHU3O5ZWEtmD\nbpMA0N9EY3F3BmwHDx7U1KlT9eKLL0qSPv30U82aNUt33XWXHnroIUWjUUnSK6+8ourqat1xxx16\n6aWXJEmxWExz5szRzJkzNWvWLB05csR+zjvvvFMzZ87U448/br/Ws88+qxkzZuiOO+7Qtm3bJEnN\nzc36+te/rpkzZ+prX/uaTp8+3aVxU+YBr7BKIq2AjTkpgDudE7B188Zk6jps3OAB4CWRmJH1hiNS\nLwdsLS0teuKJJzRhwgR721NPPaVZs2ZpzZo1uuKKK7Rhwwa1tLRoxYoVeuGFF7R69Wq98MILOn36\ntF577TUNGjRIa9eu1Te+8Q0tW7ZMkrRo0SLNnz9fa9eu1enTp7V9+3YdOXJEGzdu1Lp16/TMM89o\nyZIlMk1Tq1atUlVVldauXaupU6dq5cqVXRo7ZR7wCuuizfoC4m8fcKeOAVp3A7ZoLJFhCwZ83OAB\n4ClRN5ZEhkIh/ehHP9Jll11mb3vrrbd00003SZJuuukm7dy5U/v371dFRYUKCgoUCoU0btw41dXV\nadeuXbr55pslSTfccIP27dunaDSqI0eOaPTo0ZKkKVOmaOfOndqzZ48mTZqkQCCg0tJSDRs2TIcO\nHdLu3bs1derUtNfrCtr6wys6lkRGuQADXKlj+WJ3yxmttv55oaAMk/MlAO9IBGwuazri9/uVm5ub\ntq2lpUU5OTmSpLKyMjU0NOj48eMqLS219yktLdWxY8cUDoft7T6fTz6fT+FwWMXFxWn7nu85ysrK\n7OcoKSmxt4XD4S6NnSwDvKJjSSQLZwPudE6XyB6WROYNSJzLmccGwCuiMUPBPsiwBbP+iik6WwPm\nQtt9Pl+X1o45X/erS1lz5mTjKdXV1XV5//7KC+/Ry7pyfD8+1iZJOtucmN/5af0x/i76EY6Vu2Xy\n+B462pr283/vf1fFBZd+GfBp/YnE/xiJOehvv7NXoRx6mHUXn2F34/i6h2maikTjams9m/XjmvWA\nraCgQJFIRLm5uaqvr9eQIUNUXl6uY8eO2fvU19dr7NixKi8vVzgc1siRIxWLxWSapgYPHqzGxsa0\nfa3nOHz48Hm3h8NhFRYWqr6+XuXl5V0aZ35BoSorKzP3xh2orq7O9e/Ry7p6fEN/DEu/PKYh5WX6\n/Z+OqLikVJWV47IwQvQUn2F3y/Txjed9Kv2mvcrk85//Sw29rOCSn2fLgbcknVVZ8UA1NJ5QRcUY\nFebnXvRxOBefYXfj+LpLLG5I/+fPKi0uso9rtgK3rN8SGz9+vDZv3ixJ2rx5syZOnKiKigodOHBA\nzc3NOnPmjPbt26fKykpNmDBBmzZtkiRt3bpVVVVVCgQCuuqqq7R3715J0pYtWzRx4kRVVVVp27Zt\nisViqq+vV0NDg0aMGKEJEyZo48aNaft2BV0i4RWURALecG6XyO6uw5Z4XP6AxD1fOkUC8AJrndq+\nmMPWqxm2/fv369FHH9WJEycUCAS0bt06Pffcc3r44Yf1s5/9TJdffrluu+02BQIB1dbWavbs2fL7\n/br//vtVWFio6dOna8eOHZo5c6ZCoZCWLFkiSZo3b54WLFgg0zQ1ZswYjR8/XpJ0++23q6amRj6f\nz273P2vWLM2dO1c1NTUqKirS0qVLuzR2avLhFeesw8bfPuBKmeoSGUlpOpJ4Hr4zALhfe8Dmsjls\nY8aM0auvvnrO9p/85CfnbJs2bZqmTZuWts3v92vx4sXn7Hv11Vfb67qlqqmpUU1NTdq2/Px8Pf30\n05c6dO4YwjOsay27rX+Mv33AjYzkeS3g9ylumD1oOhJXwO9rv8nD+RKAB1hLmuQEXNbWvz9jbRl4\nhVUSGbIvvvjbB9wobpc/J0793S39j8QM5eYEFAxYz8N3BgD3szNsfdBkiYCtE90tFQH6m3NKIrn4\nAlzJ6p4cDCQ+692fwxZXbo5fgYBPEt8ZALyhL+ewEbB1gqYj8Arr5kQg4Jff77O/kAC4i3VeszNs\n3S2J7Jhh4wYnAA/oyzlsBGydoPECvMIqifT7pWDAz91ywKU6doTtSdOR3GBAAT8ZNgDewRw2ByLD\nBq+wSiIDPp+CAR8XX4BLWQGadXfY6OZ5LposibQybDQqAuAFZNgciDbF8AorYPP7fckMGxdfgBvZ\nJZHBnpUytkUTJZH2HDbOlwA8IELTEefhohVe0V4S6aMkEnAx67NuTZjvzo3JuGEqFjeUG6RLJABv\niVkBW4CmI47BCQheYWfYfD4FgwRsgFtZGbacHmTYrDkcuTn+lDls3OAE4H6URDoQXa/gFaklkTkB\nn30HCYC7WBm1njQdiUTbn4MMGwAvsZuOELA5BycgeAUlkYA3tJdEdr/piJ1hC6bOYeMGJwD3i5Bh\ncx7DbM88AG4WTymJDPQwYPvjkUZ995kdOn6qJVPD63XhxhaZJp91uJ9xTknkpX/W26LtJZFk2AB4\niVUSmcvC2c5Cp0h4QXpJpF/RHrTo/u/3j+ndP4T1/scnMzW8XvXhJ6f1T/++RZt3f9TXQwF6nXVz\nJjfY/ZLIaEpJZMCfbOvPHDYAHmAFbEEybM7CWmzwgrS2/kG/4obR7YxTNHmnvb+syxRuTGQCw/0o\nIwh0l10SmdP9piPtGbaAgsmSSDJsAPq7WNzQE6vf1t6DDZ3u05dz2IJZf8V+hLp8eIE9hy25cLaZ\nLAe25qdcCuvuU7SfXMDZ4432j/ECPZGJLpERK2AL+hWwFs7mXAmgn/vzsWa9uf+oggG/xo0qP+8+\nMeawORN3DeEFVoYtkGw6InU/4LIDoH7SadL68o0k75oBbtaxJNLoxufcmnRPhg2Am1g3o041t3W+\nD3PYnIluefCCuJHeJVLq/pwU6zPTXz470XjiC7q/BJhAT1jZ9NxMZNiYwwbARawlS041Rzrdh3XY\nHIq12OAFaSWRyS+h7q7FZn2Z9ZuALTnXjoANXmBlwoI9WTjbbjriJ8MGwDXsDNuZzjNsrMPmUDQd\ngRdYzVD9filo3zHvbsDWvzJWseR4rS9qwM3sksgeLJxtNx0JBlLmsPWPzzsAdMa6bjnVHOm08RoZ\nNofqL1kCoCfSu0QmF8Lt4Ry2/vLZsebq9ZcAE+gJw+hYEnnpf/f2wtlpGTZubgKZZpqmms92Xp6H\nzLJuRsXihlraYufdh7b+DsXC2fCC9C6RPc2wWW39+0cA1N+apAA9YWXUcuymI5d+jmuNJC5qBuQG\nU+aw8fkBMm3NpoOqWbBR9SfO9vVQPCG10uZUc0Rxw9SKl/Zr//vH7O0snO1Q5zsJvf/xSU5OcJX2\nLpF+5Xis6Ugmu0QyjwdOFI8b+vCT05LaP+s9aet/tjVx5zlvQJAMG9BLjoab9fM3DskwpYaTBGzZ\nEEm5cXuquU0ffXJaG3d9qJfeOGRvpyTSoTqezN7/+KRqn/ov/d9tf+yjEQGZ114SqYw1HekvGSu7\nJLKH67A1NrWpZsFGbdr1Yc8HBWTQ+l8f0v3ff0MffXq6vSSyBwtnn22LSpLyQ0HmsAG95PlXf2ff\nOGWd0OxIz7C16VgyUH7/45P2dydNRxyqY5bASkvve7/zVdCB/sYuifRnriSy3y2c3cMAs/7EGZ1p\njdmZDMAptv/3nyVJx0+1nlMS2Z2ArSWZYcsfkGN/X5BhAzLnt38Ma/eBT+2fWSc081rbYudMe0oL\n2M5EdKyxRVKiquBP9U2S2q9trO++bCJgu4COJzNr8ufBjyiLhHvYGbaUOWzdDWBi/WwOW6ZKIiP9\nLLMIbzgabrYvNCLRuN1kJKcHTUfO2gFbUAF/z5oUATjXW79LBGvjrx0qiQxbpp1satWshZv06puH\n07ZHouklkcdOttg/H/zohKTEsQgGfPInv/uyiYDtAjrOSWluSZSCtEXi+uORxr4YEpBx5+sS2d3A\nwy4x7CcXcNY4Iz0MtKwTapQ7oXAQ68JPSvyNWvFZbg+ajpxtTZwH80JBMmxAL2hLNvYZUpovSYrG\nOa9k0ifhM2qNxPVRh4qY1Azb6ZQMmyS999FJSYlro5w+aDgiEbBdUMfGC01no/b//+7w8WwPB+gV\n8ZSSyJxA4ouou4FHv+0S2cN12KwMXXebtQC9YU9KwNaWmmHr0Ry2mIIBn3KCfgWSTUeYwwZkjtVe\nfmB+rqT0zA96rvlse/IlVWqlTWNyDpvf71NeKNCeYYvH+2T+mkTAdkHnZNhS1sP43eET2R4O0CtS\nSyKtL6LuZshi/WwdtliGShnJsMFpTp+J6PcftJ+nIrF4yhy2nnWJzAvlyJdSQk2GDcgcK5AYmJ8j\nKXNz2I6fatGP/+9v1Ro5/xpjXtHckriWb+0YsKUExqebIwo3tuiyQQP0v/6iRH+qb1bz2Ugyw0bA\n5jjnzGFLlkQW5uXo9x8cZ502uEJ7W//2gK37XSL7V6YpUyWR1h1R5rDBKeoO1sswTI38bImkRLlP\n+8LZVtORS/97bWmLKX9AUJKYwwb0Aut8UpjMsGVqDtvWd/6kV/7rsPa9d+ziO7uYnWGLpgeuqYHx\nidOtOnG6VYNL8jXqc6WSpPc+PknA5lQd7xpaB/mv//cQNbdE9XFyMjfQn6V2ibQzbD2dw9ZPMk3t\nXSLjMs3uB5nW+yVgg1N8/Gni/PRX/2uwpMTdY+smpJ0Z61aXyKgdsJFhAzLPyoAV5lkZtsycV5rs\nUkCvZ9gSv4dzM2yJnwfkBnSkoUmGKQ0uztOo5E2vgx+eVCTKHDZH6liX39wSUV4oqGtHXCbp4vPY\n4nFD//nr9/Xp8TO9Nkagp3qnJLJ/XMBZ4zXN7l28WugSCaex/hYHFljzYBIZtsTyHYnM2KU2HTFN\nU2fbYsoLJTNszGEDMq4tElduTkCh3J7NKe+o6UyiFLCth3O2+7um5PSmc+awJTOZg0vy7GuYwSV5\nGvW5Uvl9iSW9Ysxhc6ZzMmwtURXm5+iznxkoSRcNxA4dadTq1/+HxXThaNa1VkYybP2t6UhKYBrp\nwUnMemx/6Y4J97Mu8gqS2bC2ZMAW8Le3pL7UmxStkbhMM7EGm5SaYePvHsiUtmhcoZxAj8/HHXUW\nqHhNe4atQ0lk8jx+2aA8e9vg4jwNzM/V568q0/sfn1RrhIDNkTrW9zefjWhgXq6KBw6QlFin4UKs\n9WpSu0sCTpNeEmnd0bv0E4Rpmiklkf3jAi71zmVPxtzfAlW4n3WH2AquojFDccNQwO9TINC9ddis\nlv75oY5z2PpHRh3oD9oicYVyA/Zc057cTExlB2wez7BZ05vOVxIZ8PtUUjTA3ja4JLG0QtXooTLN\nRDUOAZsDpZ6EYnFDLW1xFebnaFBhosSksenCAZt1F+NMCwEbnCutJLIHC2fHDVPWNLD+kmmKxdo/\n4z0J2CI0HYHD2Bk2ax5MNNEl0u/32YHWpWbYrJuQecmsXaJTpI8MG5BBdoYtJ9MZtvO3s/eaMy3n\nn8sXiRnKzQloUGHI3ja4OJFtu/4vP2Nvs66Tso2A7QJST0JWRF6Ql6MBuUHlhQI61Rzp7KGS2v8Y\nzrQSsMG5UjNsQbsE49K/0FNPKv2la1zqgqQ9aZ1sz2HrJ+8b7mfdcCxIZthSSyIvJWAzTdO+I9/S\nljinWVk7SQoE/IrRMRnImHMzbJk5rzSTYZPUnmlMlHi3f3dFkoHyoOS8Xykxh02SPlNWoM8NLZIk\n5ebQdMRxUjNs1roN1kKGgwpDamxuveDjrQ8FGTY4mZ1h6+EcttQgrb9kmlLH2ZPWyVaGLdZPumPC\n/aybLvl5weTPiS6RAb/fDti60nTk7d/X6/ZHXtMHR0+ppdUK2IL2vwf9ZNiATDFNU22RmAbkts9h\ny8Q6bKZpMoctyZrDZprpHTgj0bhycvx2FV3BgGDazamq0YksW5CSSOc5fqrF/v/UNdgkqbgwpFPN\nkQuuxWZ9KM46NMNmmKYef3a3fvHm4b4eCvpQ3C6JVI/WYeuPGbbU99mTk2KULpFwmPNl2BIlkbqk\npiMffHJKhin94U+NOtuWOJdZXSKlZIatn3zeAaeLxQ0ZphTKCdiZnEycV1ojcfs7wcsLZ5umaVfM\nSenBayRmKDfYXhJpzV+zXH/tUEnt36nZRsB2AX9KWWfNOsCFyZXnBxWGFDdMO5A7n1Z7DpszPxwt\nbYbe+Z967fztJ309FPSh867D1o0LsLSArZ8ELtEMZQWZwwansTNsAzrOYfPL50t0iuxK0xHrguZk\nU5s9hy0/JWALBnw0HQEyxPq8hVIzbBkoYbRa+kveLolsi8bTbjClBq+RaFy5OX47YLusOC/tsSOG\nF2veV6/T7Tdfk53BdkDA1onSogE6cqzZ/tmq/bVWni8emDigF+oUaZdEOjTDFk2eZK00ObzJyhIH\netglMnXeW3+54565kkhr/bn+8b7hftGYIZ8vEVDlBP2KRg17DpuU+Lx3JcPWHrC1tgdsHeawURIJ\nZIZ13RjKCSaW4PBl5kZg6nWeW0siG5vadM///0vt2H+0032aO3RtT8uwRRNNR4ZeVqD8AUGN+lzJ\nOY8ff+3lGlKaf872bCBg68Tw8kIdO9mi1uQk6/OVREpS4wUCNityj8aMjLVlzaRozArYnBlQIjvO\nu3B2t+awZabjYjZlqiTSemwsbl6wTBrIlljcUE4gkU3LzQkkm44YdjlkVwM2q1KksamtvSQybQ6b\nnwwbkCGpGTafz6ecnEBGFs5OC9gceD2aCX/8c6MaTpzV7z883uk+HavirOv0uGEqFk+URA7Mz9UL\nj/2tqqf0TSatMwRsnfiLIYnFsa0smxXUDEyWRFoZtsamNsXjhl7aekgbd32oPx5ptLvOpEbuTsyy\nkWGD1ElJZLe6RLY/Jm44P3BJXTdOysw6bBJZNjhDNGbYk+Nzg367JDI1w9aVpiPWBc3JprbzNh0J\nBLpWWgng4lpTAjYp+dnNSIbt/PO23MRaautCXTWbO1zvWr/vaDKIzU0upTAgN2h/VzpF8OK7eNPw\n8kJJ0pGGZo0YXmx3iSzMO7ck8r8PHdMLv/i9/dhv/n8Vmn7DlWkfirOtMZUMzNbouyYSaw8sE7W7\nfdOqFH3LMEz5fIk1lXqyDlvHx8QNQ36/c/+mUteNk9Sjk2JqBj2aXMsF6EuxuGHfgMnNCSiS0tZf\nkvx+/yXNYWtMLYlMm8NGhg3IFOvzNiAZsOUEAz0q17d4IcN2MhmwdVxfLZWVYSsuDKmxuc3+fVvn\nfyefu8mwdeIvypMZtoZE45HzNR2REhH9x58m9rFafv45mZVL/VA4sbV/NGXRYLJs3mUYpvy+xEVc\nT0oiOz7G6WWRHRujRHtwEkubC+fw9w1viMYMBQMpAVuyrb9dEhnoaklkSoYtOUUgL5Q6h422/kCm\ntEUTn7FQMnDIzfFnpK2/V+awSV3LsJUVD5DU/v1m3XS11r5zIgK2Tgwfksyw1SeCr/aALZlhS5nD\nZnWT/MJ1V0iSXTZizX+TnBqwnbswOLzHMFMv4vzdnuTc3wK2jp0we5Jha+uQYQP6WjSWmmE7f0nk\npQA/dbwAACAASURBVMxhO9sa08mmxNqj+cxhA3pFW4eSyJygPyMLZzedSSmJdG2GLfH9dKH3Z2XY\nLhuU6ADZ2mZl2NJLIp2IkshOlBYNUF4o2J5ha4nI52svBUmdw3aquU1+v09XDx8kSfZdyLQMm4Pn\nsEnSaTJsnmWk3HWXpGAw0K22/h3nbjl9Llc0pQQiEo33bA5bymfd6e8b3hCLG3ZglRtM/I37/X4F\n/IkLkkvtEilJR8NnJEkDQsxhA3pDe5fI9pLIWDxzGbaCAUEPZNguELAlkxNWy37r920FxZRE9kM+\nn0/Dywv152NnFI8bajobVWFejn1hW5iXo4Dfl8iwNTRraFmBipLZt7PJgK01temIA9dii6SURHac\niAnvMAzZJZFS4o5eTxfOPt/PTmO9R+uitieduCJpJZHuPBmif0ktiQzlBGSYiSCuvUukX0YXbi6k\nrlN07GSL8kKBtMn4wYBfptm1RbgBXFjHDFtupjJsdilgntqicbs5npvYc9i6kGErG5QoiWzrWBJJ\nwNY/DS8vVCxuqP7kWZ1pidgNR6REQDeoMKSPP23SmZaorvjMQIVyA/L72ksi07pEOrIkMiXDdsZ5\n40N2pJZESomArXtdIhMnFeupnJ5psrKIVta8JyfF1N+X0wNVeEMspSQyJ6XMx283Hbn0DJuUPn9N\nkh28MY8N6Dm7S2ROMjueE1DcMHv8+Wo+G5Xf71PJwJAMw3RlGXNXMmx24GqVRFpNR+w5bM4Ni5w7\nMgewW/s3NKv5bFQF+eknquKBIbv8cXh5oXw+nwaEguctiTzrxJJIMmxQ4s54xwxbtBtf5lagYpVL\nOf2EYI03P7m2Yo8ybCnBXnfKSYFMspasSG06YglcctORjgFb+kyKQPI1nH6DBugP7JLIlDlsUs9v\nBJ4+E9HA/BwNyA2mvY5bxOKGHYxdqOTTyrANLu4YsFES2a8NT3aKrPufekVihgbmdQjYko1HpPbg\nLj8UtEsi2yIxWdfBjsywxekSCaW1+paSbbq7EbxYj7EyVt0pq8wmK0ArsEsiuzfeeNxIu/Alw4a+\nZi1ZYV3shVIuQi5l4WzTNNPOY1J6wxFJCgZ89msC6JlzSiKTn92ersXW3BLRwPxc+3kv1Pq+PzrV\n3Gb//4UybGfORhUM+FRUmKiYs7tExiiJ7NfGjSrXZcV52rTrQ0ntHSItVuMRqT1gyxsQTCuJHFSQ\n2MeJTUciaW39nTc+ZEeiJLL950RJZDfmsCVvAOT1MADKlljy7z9/QOJGTHdPiB0f5/T3DfezbpZc\nMMPm98m4SLOQaMyQYbaXD0nnBmxk2IDMObfpiJVh635GzDRNNZ2NJgK25PO6LcN28nR7wNZ2obb+\nyelNdqaxY0mkg7tEOndkDhDKCegrf/d5WTcOCztk2AalZNiGD04sA5CXLImMG6YiMUOlRYmJjU5s\nOpJaukWGzbuM85VEdqvpSOILL88uiXT2BVw0nj7e7p4QO97Ny9T73vHuUX16/ExGngveYn232239\nU+ZltHeJ9Ct+kbJlq1zoM2X59jbrBoclmHy+iz0XgIuzMl+ZLIk82xqTYZgdMmzuCtgaUzNsFziX\nN52NqjA/x16YnHXYXGTy2GEa+dkSSe2LZlusksjykjx73k5+KEexuGGXQBYXOTfDxsLZkM7TdCTQ\nvYDNuqtv3bly+lwu6z0WWHPYutl0pDe6Y55satWSF97W//l/7L15vBtnfS7+jEb7eo7Ovni34y1x\nFoeEJCQhaQikdGMpLQlw+2v5tJSW9rZcbgsXKHQBmpa2UAq0l6VZSCm/AiVkIQkEEscOcezYjh3v\n9vHZd52jXSNpZu4f77zvvDOa0ZF0JFvnWM8/cXSk0Uiaed/v9/s83+f79KllH6uFyw/0XnQ5jbIq\nAIxNr8R0hAYzHWEfY+tKe9jI2tHsBZoWWlgJ0E1HqEukJolcBiNG47ug36UzbKssYVtI5Ni/pby1\nC6aqqkhlieO7OXGlSpkWw7aCIQgCfu9tVyESdGPbuqjhb20hIpGkckhAl4MtagP8fB4n/F5nU5uO\nOBwCkulWwna5wjyHzeUkrlRKlT0pzHXRuzJ62JitP3WJrJVhM72uHgkbLfjwVcMWWqgUBSaJJPe1\nURKpMWya6Ug5e28azHg9Itq14mNpD5vGsLV62FpoYdmgUkVa+KQOr8vpYaMJWzjghsckBVwtoHsl\nDWWs9uGsRJjGICcNLXGJbPWwrWxsWdOOhz71Ftyws9fweHuIyB0NCZsW/NF5EF63CL/X1ZSmI7SH\nrSPibfWwXcawkkQC1TNkdIFkEsMmr7ibE8yae9gK9HOThb4WwxYz6GbajOtGC80PXRKpz3Ki4HvY\nAKBcnkUZNq/biXatZ7vFsLXQQuNQOoeN/LdWBQgAJLWxTQaGbbX1sGkxd4fm/mjFSFKHyKDPBUEQ\n4HGL3By2lkvkqoHA22Rp2LW5E/e+eRt+9bZN7DG/KWHzuEQEfS6kc83Yw6bCKQpoC3qQzORX5SDF\nFpaG1Rw2oHqmqGhK2JqdYWMJptaTU+v50o2B9vbUg2Gjm2mqVUhpoQYUyzBs/OBsAGWNRxjD5hZZ\ngbKkh03U14ujZ+eqZuZbaKEFHWamhxZbalWAABzDtpp72LSYuydK+m2tElK6n1I/Cq9bbM1hu1wg\nig68++6t6GzTHbTMkkivW5dENttGViiq8LhEhPxuFIrKqqu4tFAZzJJIZ42uVLSqr5t4NHfCRoNa\nj8sBpyjU3CPA5rnVM2GjDFsTSqlbaH4UyvawCYb/ljMLyXHVfuqKXOISqR3nib1D+NhX9uLAyel6\nfIQWWrgsIeVluJwOdl+5tHt3OfuK3sPGu0Q2H4mwHCwkcxAEfb6aVTybSJOkLqz5T3jcTrbGSStA\nEulc+in1xf79+/HHf/zH2LJlC1RVxdatW/H+978fH/nIR6CqKrq6unD//ffD5XLh0UcfxYMPPghR\nFPHrv/7reOc734lisYg///M/x8TEBERRxGc/+1kMDg7i5MmT+NSnPgWHw4GtW7fiL/7iLwAAX/va\n1/DUU0/B4XDggx/8IG6//faGfj4midQsRj1uEQGfC6pK5CXm6mQ9ISsq/uGRg7h5Vz9u2dW/5PML\nRRUetxMhbVxBMl1guukWVgdUVYWiwjBnzQxbSWSVG4TOWK0Ul0gtqBVFuJyOZUgiKcNWv8/NM2yq\nqloy/C20YIeiySXS47KXRJbrPdMZNqeesHmse9j2HZ0EAEzPZ5Z9/i20cLkily8a5ibWw9aftryE\n/W4ksPRw6ZWIxaSEkN+tj+mxkJAm0novH0AYNmpWUii2JJGWuOGGG/Dggw/ioYcewsc//nF84Qtf\nwHvf+148/PDDWLt2Lb773e8im83iy1/+Mh544AE8+OCDeOCBB5BIJPDYY48hEongkUcewQc+8AF8\n/vOfBwB85jOfwSc+8Qk88sgjSCQS2LNnD8bGxvDkk0/i29/+Nr7yla/gc5/7XMNlf7okkjJsIgLa\nBZRqcD/K7EIGzx8axzMvDVf0/LyswOMWEfLT82sZj6w2PLHvAn7z/zzOrkcrWLlEAtVLBM09bE2f\nsFHZmNMBl1OsuYLJ3CYbwLAVZWXZA1NbuPygm46Qe9llJYmsYOC13sMmYseGDjhFARsGIobn0OPQ\nfstUy3G4hTpBVVXITb6P1BtSQWayRYCTRC6nh413iXQ3vodNUVScHI5dVCOihaSE9pCHJVxWg8Gt\nErZS05HmFR5ekjMzJ0379+/HHXfcAQC44447sG/fPhw5cgS7du1CIBCAx+PBddddh4MHD+LFF1/E\nXXfdBQC4+eabcejQIRQKBYyNjWHnzp0AgDvvvBP79u3DSy+9hNtuuw2iKCIajWJgYABnz55t6GfT\nJZF6DxutvGca3MeWlcjxZxYqq3AWiiq8bhEh7eJNtJwiVx2OD80jl5cxPpOyfY6soD49bNTEY4Uk\nbLr1uQNup6PmCibd+Nh4gDr2sAEt45EWqod5DpvHcnA2dXe0v15zHMN23dZufP/+X8G63rDhOTQp\npEg0KGErygr++7mzrYTwMsI//Mcr+NMvPH+pT+OiQsrLbEYYoMual8ewkXsmFHBfFFv/V07N4CNf\n3IOvP3qsYe/Bo1CUkc4W0BbysISrMobNiUJRIXOTqelIaw6bEefOncMHP/hB3Hfffdi3bx9yuRxc\nLhLsdHR0YGZmBvPz84hGdRv9aDSK2dlZzM3NsccFQYAgCJibm0NbW5vhueWO0UiYXSI9bicL5Bod\neNGEbTqWrYhJpD1sdL5cy+Bg9WE+Tpi1ci6giqJCFIy2/sByJJH1S1waCV0SSRi2WiuYdCOlhZl6\nMmxAi7FooXoUTQwbXzUWRTo4W3OJLCuJ1Ib4euyDGLPcmjrS1RuvnJrB1x99DU++eKEhx2+h+TA0\nHseFifhlZYgmFWR4XLrs2F0PW38tUTEMzm4gwzarkQY/3HMer5ycadj7UNB4uz3kLeuCaU7YdAOW\nIjN1aWZJ5EVvWFq3bh3+8A//EPfccw9GR0fxvve9D8WizjzZ3ZjlHhcEoaIbupqb/uDBgxU/l8fo\nFAmQZxcIozE+NozFNLkQjhw7gdyCz/a1y8WZCfLe+YKM5/e+jKDP/sKTFdLblJcymJ+eAAAcO3EG\n3uJkw86vhYuP8elFAOS3decnLJ8jKwoymTS75ufn4gCAo68dR3zGU/F7zcfIe42NDAEARkbHcfBg\nsuZzbzRGRsnnPHfuDIpFCdmcUtN9f+YcudeT8XkAwPjEFA4etJegVoJzQwn274OHj2G2y/53qHWt\namFloJbf9+QICZimJsdx8GAco7P6PL/ZmRkcPHgQCwsxAMDhI6+iLWAdCpy/QO6R4aFzELPjls+Z\nmiT3uMclQCqoGJuabcg1efR8GgBw7NQINrY177pSC1r3sDUSqQwUFfj5/gNN7d63FKr5fXNSEYV8\nlr1mZDQLADg/NIyDnlhN7z81uwiHA3jt6GFML5KCyuj45LL3KTucOqvvX3/30Ev4/V/sQcDbuERo\nbE7ry8ssYmaKrA0nTp2BkBkzPO/CKNmjh8+fQmxSRCZFznP/gUOYnSPf7WvHjjTttXbRE7aenh7c\nc889AIA1a9ags7MTx44dQz6fh9vtxvT0NHp6etDd3W1gw6anp3Httdeiu7sbc3Nz2Lp1K4rFIjMq\nWVxcNDyXHuP8+fOGx7u7uys6z927d9f0+UIjC3jo2eeRkUg1ZMe2LZiP5/Djw0fQN7AOu3evqem4\nlSDrHAcwBwDoXbMZW02DvnmQfrpxdHW046qd6/G9F3+OaFcfdu++omHntxLx4tFJjM+m8M47t1zq\nU6kaLx84gFROm7XX1Y/duzdbPk99ZAzhcIhd86fmTgLHT2HT5i3Ytbmr4vf7zot7AEi4csc24Kcv\noKu7B7t371j252gUXp14DUASV+7cjj0njyCZTdV0349nzgFYxMb1g9h34iTaOzqxe/fVyzq3E7Mn\nAJDNZHDtRuze0Wv5vIMHD9a8VrXQ/Kj1900KY8ALMWzcsA67d69H+3gceOZnAID+vl7s3r0Te88e\nAoZGsGPHlejrDFge54h2j+y6crvtfjKeOQcciuP1Vw5g39EJOJy+hlyTk9nzABagiP5Vdc237uEy\n+OGPAMjYvmMXM71Zaajm9y3KCpRHxtDRHtFfE5gG9syjp7e/5vjs357+MSIBAddffz0m5lLAkz9B\npK0Du3dfW9PxlgLZWxN43Y4evHx8Ggm1E7ft3tiQ9wKAzOFxADO4ctt6Iml85QgG15TG29/bvxdA\nFre8/nq4nA68cOYQXhsZwdZtO+F79TAACTe+7npDi0gluFgFl4ueRv7whz/El770JQDA/Pw85ufn\n8fa3vx0/+tGPAABPPfUUbr31VuzatQvHjh1DKpVCOp3GoUOHsHv3btxyyy3suc8++yxuvPFGiKKI\njRs34pVXXgEAPP3007j11ltx44034rnnnkOxWMT09DRmZmawebN10FovUEkkJfM8nOlIptGSSK5H\nbiaWLftcJnVxi4wevhx62B7fO4QHHj9e8fO/99MzeODx4xe1ebZeyEgK6yOzM5Shcqh6uUS6nI6a\nX3+xwff5uJxizZITOtDU71nePDcevCSy1cPWQrWgw9utJZHUdGTpHjaJG5xth44IUY3ccnU/Qn43\n65epN1iPdqzlQnm5gPZQ5iwMJFYjcqah2YC+Hy/XdCSouYFfjB42arBH3cpnF8rHo8vF1Dxh33s7\nAuy7yxdkLCYl3PuJJ5kRXyKdh9/rZN8p7RXM5YvIF2Q4RUfVydrFxEVn2O688058+MMfxrvf/W6o\nqopPf/rT2LZtG/7sz/4M3/nOd9Df34+3ve1tEEURH/7wh/Hbv/3bcDgc+NCHPoRgMIhf/MVfxN69\ne3HvvffC4/Hgc5/7HADgYx/7GD75yU9CVVVcffXVuOmmmwAA73rXu3DfffdBEAR8+tOfbvjn85ks\njz0ukfWwpRo8U4luaAAwvYTxCL1ZL7cetif3DWF4Kol33LmFDU8sh4z2nUoNHsnQCCQy+oJs18Om\naJUFB1e6WY7pCJ+wNbvpCO+k53I6oCjEkUwUq6tj5RtsOtJod9kWVh8K2mw1ei/yjfS0OFOJrb9V\nAGnG66/sw7985A6s7Q3jkadOsv6VeoOads0sZEtmR7aw+qCqKlsH+dhmNYMvpFO4l2k6oigqUtkC\n1mpmQbT40sgeNlq0oQZFtJe+UZjSRon0Rv0Y1QzWpIKM0Zkkkpk8Xj03hzfduA6JdJ4RFAAMQ8Tz\nRbmpHSKBS5CwBQIBfPWrXy15/Bvf+EbJY3fffTfuvvtuw2MOhwOf/exnS567adMmfOtb3yp5/L77\n7sN99923jDOuDuahonxlstEJEb+oLVWFpDer1+NEWKu8LKakci9ZFaCf+8zIAq7durQ8lgYJuby8\nwhO2Khg2cXkMG63qF8sM5G0GGFwiueGkVSdszNZfMx2Rl78Rthi2FpYDGtw5acJm6RJZiemI7hJp\nB9EhsGAw5HfjwmSipsLHUqD7W1FWsJDMMWavXkhlC/jov7yAe9+8DTdd1VfXY7dQPYqywq7NnLS6\nZobZgcYn1nPYaisEpnMFqCpYgdrDsUqNAt2zBnuCEARgLn5xGLaejgBmNDZPysss5p5dIEZ8iXQe\nGwd0l1uvRrBQhq2ZDUeAS+QSuZph3tg8bhHRMNlYYonGVhlqZdgCPhc6I16cGV1Y9W5M9HOfHl2o\n6PlZjRVdiZIMPmGzcxpkCRtXrXYuwyXSJTrqMujzYqBQ5CWRtTtxUXcpf4tha6FJwBcjAKMk0qFJ\nIuk9L5cprPBz2CoBU2s04JrNcAqVpST/tWB4MoELkwkcOtV4V7sWlgZftMquwP23FkgWjDZNImqV\n7NNiLWWWnKIDokNorCQyU4DPI8LrdqIt6EGs0QxbLINomDhE0mQ3X1BY4ji7mEVWKqIoKwgH9F5I\nXRIpQyoorYTtcoPDIRg2N49bRHvYA0FoPC2c4RO2+fIJG78RC4KAnRs7EU/lMVZmXtdqgM6wLS7x\nTCLJoN/pSqzwVSeJrE8Pm5Nn2IrNnfxTJswpOpYlO6E9bI0YnA20GLYWqgc/sgIwVuxLJZFLz2Gr\nNJBpZD90NQXJ5Ry/UT14FwOP7x3CkTONHV10sZDj1sDc5SKJLMOw5WuUMFJLf9rDBpC4tJGSyFQ2\nj4CPvF9HxIv5eGWjpsrh9MiC5f5cKCqYW8igt8MPgBuDUJCR1oo884tZpiAzSiI1eWheRqEoN607\nJEVzn90KBS+L9LhEOEUH2kMezDeYFqYbTjjgxuxCpuwNYq7k7NzUAQB47fx8Q8/xUoN+7lMjS7OJ\nubzMzGNWMsPmcAhLM2wWpiPV9qCttB42mlAaGLYaGrvzDZjDlm8xbC0sA6w/U7uuRa6Zng7M1k1H\nys9h87jFivvFQlpQ2IikJ5OrXPJfC6hp10q934qygn/9/qv49jOnLvWp1AV8QrES999aIEk0LuPn\nsNWmeKGgxdqQX2/p8LjEhpuOUAlmR8SHfFFZ1n11ZnQBH/7C83jshaGSv80uktEPvR3E6dbNzWGj\nkkhZUTGsjR/hEzaeYWtJIi9T8MYj9MbriPgwt5iDqqrISUX81ddfwuHT9ZVe0A1nfV8Y+aKCxaR9\nT1oub6zk7NxALJtXc8JWlBUWnCwmJcwtlmc8eQlOroGLW6OQyJJzHugK2DJssoUkclkukaLI9bBd\n+oRtYjaF3/z4E3j5+FTJ32i1zuV0wOWqXcZJkzy3S4RTFOryuaW8zBiQahm2TK7Q9A6dLTQWZkkk\nAHhcNFGrznSkUjkkwCVsDWbYZhrAsGUkcp+t1ISNFhhXi0EHz6plV6DCpRY0hGHL6EOzKRrJsMmK\nikyuyOTR0YgXwPIUZqPTJNm6MJko+RszHNESNt4lMs3FcOfGiarKKmGT8kXkC0qLYbscQRM2l9PB\nNsXONh+KsoJEOo8TF2LYf3wK33/uXF3fly7U6/pIU2U52QhbGLSEck1PCOGAG68Nrd6EzVxRWqqP\nja/orkRJRiIjoy3oQXvIy/TbZpSXROrf18RsCl/+7pGyizwzHWkiW/8zo4tIZwv4yYHRkr9R2Rgv\niayph62gy8ZcTkfdeth8Hid8HrEqs6JCUcEHPvcTfP3RY8s+hxZWLvhrm4JWj5kkUkvcyo2hyOVl\nQ7V/KdAqvl2BaDnI5IrwechnmG4Ew6at8XZqhGYHdRhciXuVFQwM2yr5TEuBmfx4LExHaiwEsoSN\nlwLWmWFTVRUnhmJQFJUVGHWGjSZs1gqzeEpaUu1Ei+tW971u6U8kkR4Dw6bfy+fG4gBg6GHzuMja\nls4VIStqi2G7HEHdBPnKJL1o5xazmJgjF9ixc/M1V02skJWKcDkdGNCGoJaTjeRM9rGkj60DswvZ\nVTvnhn7mdm0A55Ezs/jn7xzGP/7HK5bP5yuVK41hU1UViYyMjjYvq6xZBf5UEilaSSK5QO7Zg6N4\nct8FHLZpyFdVFUXZ1MPWBAwbXbBfPTNb4oZXKCpwig4IgqBvijVIImmC5nY64BTFuvWw0RmO1YwD\nSaQlLCQlnB+PL/scWli5KFgwbC6tKEETNTYfNGcfDEvVMmyBxkkis1IRbUEvIkF3Q/Yo+j2s1PE2\nNABfaXuVHXKXo+lIQYvLDAybJomscQ5bMm0hiawzw3bgxDT+95f24IUj42zma5D2sGmme1aKpnNj\ni3jPX/wILxyeKHt86jI5rSVnPHRLf6MkMl+Qkc7q1815C4aNxr90vWolbJchKMPG33SdmgXxfCJH\nJs2DXFAnLsTq9r5ZqQifx4nuKKk0lKtC6nbN+jnu3Ej62I6tUlkkXaB2bOyAIABP7ruAp18axrMH\nRi0XL6MkcmVtGKlsAUVZRWfEx6QJVkEU9RswMGyitkFwCVdaC2LmbZxOi5zJgegQ4HAITcGwJbVq\nXzJTwPkJYxJDeu7I53azKmYNkkheWul01GdwdqEIr1tE0O9Guorgl1Y3L4cRHS3Yo6wkUrvXaQW8\nXHIl5YuGfWwpNLKHLSsVyP7W7sfsYrbsOILajk/W+HSuUPdjXwywIdOrhI2SDKYjqyMJXQpWLpGi\nQ4BTFNg+Uy1SVpJIlxOFolJWDl0NZhdJQjUynWQFDxp3dLYRsiJmwbANaXsylSvaYV5L9uYTuZK2\nBcawdVLTEX22Gk0eASCWKDUdofHvmCa5bPY5bM19disULGHjpCSMFl7MYmJWrxLU00I4V0PCxm/G\nOzesbuMR+pnbgx5sHIiQf2tsm1XF1iiJXFkbxpy2gHZElmDYKnSJZG5LNjp0s8mBU3TULOGoJ/jA\n8chpo3saYdjI9e/irICrRaFApKCUqavHOAMpL8PjciLgcyEjFSsOIGlFsVz/agurH5VIIqlrnF3P\nlqyoyBeVsjPYzGiUS6SiqMhKMnxesr8VikrdixJ0vVdVY7FupYAWFUkv28pLOM2Q8rzCZXUkoUvB\n7C1A4XKKNTNsCZseNqD2vjgzaJFgfjHH1hPedASwLvYuaPvUUvcyZdhUFWzOGsXUfBoet4i2IInl\naPE1XyS2/mbDJD5hG+gOoqvdh0NabNBi2C5D+Lw0YeMkkW0aLRzPYXIuDb/XCafoYBdKPUAZtt6O\nABwOASNTSdvnssHZ3Ga8oT8MhwCMz65Oa3+9b0/En7/vdfj8H9+Gt75hAwDr5NaQsK2wDYMmVp1t\nPr2SnrVi2EpdIq160GgiYKdDN0uwXKJQF6ZpueCT1MNnShM2NqdqGbPjpIJuB+xy1idRzWmSyKDP\nRQLICqvmNLHOSsWG2ja30HgsJHM4NV6bs7AVw+Y2SSLZzDQbNkwyyeYrgX7M+iY8dP31eZzoaScF\nyXrLInkJ/Eo0HqEFSVlRl5SjF4pK07OI/Pq1WoxUlgIfo/BwuxzLYNiMjBfA9XnVST5L96e5xSxb\nT2hBqKOM6QgtLC4sUWDk4w5+ZJWqqpiaz6A36oegxTCCIMDtIpLPVLaArjafIREzMmxO/O0f3Io1\nPUEApYlys6GVsDUAfo1h4+WGVBI5E8tgOpbGYHcQOzZEcX48XpdquKqqLGHzuESs7Qnh/ETclvLO\nWVHvogNtocYPObxU0OUGJKm9Ym07ejTds5U2mrqGASuvL0Bn2Hx6Jd1KElknho1JIlniIjZFDxtl\n2LrbfTh+3tgzSnvugNqdMclrdDtgp7h80xHqZkqH2gOVGyHwjpLxVSqLPHBiGs8fGrvUp9FwfOeZ\n0/iP5+ZxeqS8OZIVWAHFimHTbP11+aJ1cmIlm18KjZJE0oDd761MQVILeFZtJfaxGeaWldmvZEXF\nH33+p/j8IwcvxmnVjNxlKIksx7DVOjg7kcnD7XQYivM07qtXUY/+PnPxbAnD5ve64POIlsVeGvua\nY2BVVfHKyRnkC8RuP57S15PpWBqyrOB7Pz2LR/ecR1YqModI9vlcDkh5GelsAUG/C10aYSIIXjW4\nVgAAIABJREFUxnl0ANDV7sPf/uGt+MWb1+NNN6xdztfQcLQStgbAqoeNVhlODsdQlFX0dwZx7dZu\nAKjLoEupIENRdXZv82AbpLyMsRlrls2uetoe9mI+kVsVkgozrCxzqbPQlMXmn13BDBuVEHS2ecs6\ntylWtv5iKdtEEwFzwpbK5PHEviEW3FEJVr3s7ZeLVIZIIl5/VR/yRQUnhvSeUTKGQE8wgVrnsClM\nUlmPHja+j4FuepVa+/M2xqs1Yfv6o8fwpf//8KU+jYaDKh3o/nB6ZAFf+e6RilhgJonkGTbawyYY\ne9hSFsw7oAeP1UginaIDfq/TUhKZzhbw74+9VhN7RdUOPo8TXe0k+KJ9M/UCz+I0y/Ds/3zmVMVt\nE7yEsBwjdXp4AWMzKeaaVwtkWWl4jGDoYVth+2+tSKRpn5XH8DjZV2rvYTMnKTrDVp/vNWtg2EoZ\nvWjYZ82wpWjCZvzb8aEY/uL/vogfPH8OMU1K2aclZVPzGew/PoVvPvYavvYD4obc12lO2ERkpSJy\neRkBr4utGSG/m/Xw8gj53fj9d1yNreui1X/4i4hWwtYA0KTJ6zEOPwwH3MzRpr8zgN3bSML245dH\nlv2e9IahyeLmQdKjdW7MupnTrpITDXuRL8hlncNWKqwaenvKVGtXsq0/rUi1BT1lq966JFJ/rBzD\nZm4cfvqlYXzlu69iz5Fxw2uddbK3Xy6SmTxCfheu2dIFwGioY5BELmMOW4Gb30IlkcsJZvjCAmPY\nKk3YuOet1j62eEpCVpJXveSTzhp79ewcAOChJ0/giX0XKpLRF8sxbKIpYbNhk2iQXA3DBpDgx2qt\nefbAKL7707PYc3i8quMBPMPmYr0q5QoSx4fmqy4Y8et9M0giE+k8Hv7RSXzrRycrej7PSJWTur18\ngsykXE5S+tEv78Vffv2lml9fCXIVJqCrCXTNbgsZEza301FTMREgMxF5GSBQf4aN/j65vMxiKbq+\nAISwSKTzJT1zC1qitpjKGyS60zGieDo1vMDUQjs2RrW/ZXBYWwN//Re24B13bMZbb9lgOK7bJbIk\nMODTGTbz97DS0ErYGgC/BcMG6LJIAOjrCmJDfwRXb+nE4dOzOHZuruQ48ZSE//Hpp/DYC+eXfE+2\noWnvvWlNGwDgrE0VjfWweYzV02hYc/SxcQNcybAyWmkLeuBxi9YJ2wq29afynoDPVbavpFJJZEYL\nYNK5oiF5pc5LZ0YWDa91io6mYdiCPjc2a/fDEOcUaSWJrGkOW1Fm/UEupwOqWn4Y8VJYFsO2yiWR\nsqwwprgRw5mbBaqqYlZrrj8+FEMskWOJ27FzRlOoeErCnkPjhiJBoajAIRCZOwXrYXPQOWwO+DxO\n24TNqsBVCUJ+lyWbT4ff1lJIoOuZz+NkQZfd9X1qOIY/+9ILeOSpyhIdimbrYaP38vmJeEXFL4MN\nfpkE5+Xj0wAI81JLH9vcYhYnLsRw1qYYXC8Y5rBdJgzbQlKCxy2ywjuFy1WbJFKWFaS5IdYUNAaq\nV1zDX2/D2nBrntWjCjNzXEnXAkVRDQWExST59/mJOGPmtgy2weV0YDqWxpEzc/B5RNz75m34rV/a\nWSKJdLtEFGVybQdbCVsL5eDzkJvDvNHRie8AYdgA4D33bAcAPPyjkyVV+UOnZxFL5Eo2aCtkc0aG\nbUN/BA6HgLOj1osq3YzNk91XdcJm0dArCAK62/3WPWy8rb+2IMUSOQxPJRp8pssHLyEq5xIpa4ua\n6NCvA2Y6oiVciqIaklfe7YlKOCiT63LWTxq4XKiqyhi29pAX7SGPIWGzkkTWwgrmCzJcruUfh2JZ\nDBvHEiymVl9Ck+A29Xo7ETYTFpMSC9DyBRkPPnGcBdfm4t73f3YW9z98AMc5uS8pRpQaFwAwSIJC\nfpelGRHAD/GtXBJJjulGvlDKgI5oCVsthQReQRLRGDa7339Sm3P6k5dHqyqcGBi2JpBE0v2nUFRY\nEFwOdIYXYM+wzS5kcUE7llKFmREPev0l0/mGyiIlQwK6sgqmtWIxKTEGmYdbcx+u9vum+0bILImk\nDFsjEjYtPuIZtk4tYeJlkYWiYijs8IUcGlfMLmTZnt3Z5kNP1I/hqSTGZ1PYubHT4ILLg4/xAj5d\nEtlK2FoogW7rb2LY2nSGjSZs29ZF8bodPXjt/HyJ1IUujJUkT/SG8XLsXjnjESlfhMspMGcdivbV\nnLDZVIx7on6kc8WSTdroEkle++X/OoKPfHFPXazbGwl2Pbid+hw2K5dIS4aNfD804cpKRfD7BN88\nHNeCpjltIeYZtksticxKRciKyip9GwYimFkgLlayokJRVHa+VPZVrfSGOLKprGJpZifjKQm/+fEn\n8OiecxUfk+8vbTFsRvBB+mpm2KgcMhok6/lPXh4FQMxzzo3HDcUkqg7gGQ9SjDCu7R5mOqI/HvS5\nbZOTmiWRdHi26fdhDJt2XaqqinNjixUFoXQt9nud8LpFuJ0OtvaYQR3nYokcjp6tvD88KxXZd9MM\npiP8/nNmdGnjGUOCY8NIHThJ2DWnSD9n9ffQUa2ALCtqQ6WK9PMEfa7LQhKpKCriKalEDgkQdlxV\nwVijSpG0sPQH9Bi1Xt9r1kKNFOAlkWHqFMnFDqb9iU/YeJv/l0+Qa7ZDS9jo3nq11uZgBV5FRUxH\nSOuLuTdwpaGVsDUAPZqRRbdmP0zRqTFsIb/bQBf/5pu2AgB+dnDU8PyjZ6tP2HgqfdNgxNZ4JJeX\nSzZ0QL+xFlZjwmZhOgIAvVFr45GsVIQgAD6PyIKX6VgGWanI5ErNikyuAI+LDLD2uES4nA5rl0iL\nHjbz4GtzssBXycxVbt105NJLImnQRU1XNvaTvs6hiQQ7N8omMma5SofUAjc0G9A/P3383Fgc6WzB\nwJLn8uXnqtWth201Jmypy4Nhm4mR9eXqDX7QmtqmwQhuu3YQiqLi5AU9gKf7w/lxo9zXZWLYqDEO\nz7AF/S5kJdnyXtWdhKtj2MIWPbOLSYn9XjRQO3hyBv/zH5/Dz15Z2vGT398EQUA46EHC5vrmLcKf\nPTBq+RwzCkXyHdA9uhkkkXxSfnpkafmhoYfNhpE6oMkhr9/eA6C2e4hneBuZ2NJ1MBL0ICcVV6UR\nGo9UtgBZUS0ZNleNPdbJtHEPpLDra1dVlRVWymFiLoVP/us+NrTa3OPv84gG9quvi9jmHzypG+jQ\nBI0W0Bc44xHeFZKOp+qM+JjnAABcvaXT9vx4G/+g14Uta9uwY0MUN+7sXfKzNTNaCVsDMNAVxL9/\n8m788hs2Gh6nAwT7u4x6202DbfC6RcOGOx/PYkKTdixU4NpolbBtHiR9O1bGI2R2VGnC1h4mi4XV\nkEMzVFXFx7+6F//+2GtLPrcZYOeMSRNscx9bNkfGJPg8TrYZ0gVuar6+ltL1RiZXhEdb5AVBsO0r\nkS1cIgEYBkBTwxFqp10uYXNxPWHKMnu5lgtzdZEmbOfG4yW251GLCmAloMdxmxg2Wgmd1DY06mgX\nT0l436eewnd/esb2mIYeNu3cq3GJpD/lajQdiadLZTOrEdMaw9bb7sLGAXLd3rKrH1du6gAAHDuv\nB81WCRsZCm+8p+newCdy5eTSuktkdQxb0CIY5INAmrDRQIwWJsuBZ9gAIm2yY9io2YDf68S+o5MV\nsQj0+F1akdXOOfNiIl0lw5YzsByln1lVVRw9N4uBrgDr6a024eLjEsAoUa436OdpC3kqmi230kGv\nW6py4sF6rKs0HqGqGjPDFrIZcP+Tl0fwwfufxSsnyzuTPrGXmB+9ojmYZqWioRAU8Bnf75otXVjf\nF8bPDo5iRJNM0oLi+t6w4f/N/wZIITQccLMxTJGgG+u011mByr/Jubjg97rwt394K25oJWwtWKEj\n4isJgjvbyI3Yb7IgFR0CNvRHMDqTYlUlfhPLFxXD4m2FcgmblfFITpLhskjYooxhWzoYyuSKOHJm\njlHWzQ47hk2fxWZMwjJSAX6PEx63k20eNOmhLkbNCpKw8ZV0a+mTlSQSIImMmWFb2xMCYExqkqag\nmXeJBGpzXawXdHthKokkC/zQRLyEGfN6nAh4nRUVKnhQ1yuXybyEHp9WIGe1AHxoIo6sVMSpYfsA\njL9OaWW0HFuWL8iQZf23CgXc8HmcTS+J3HtkAntfnajqNfHLhWHTrpe2oBO37OqH1y3i1msGsH19\nFA6HwBhbVVVZAWVkOsmuR+KAalzn7nrdWrz3nu24Ym07e4wZElkkKKzAVeUw2VBAk2Cn9WRgxJCw\nkfeaT5B15IxNnzUP8/4WCbgh5WXLxIQybPfctB5SXsbPj01WfHxqTtAckkj9HEank0smnoZB0xbf\ni1SQkZVk9EQDjAWtNuGi112wyvmQtUAqyHAIOju02vvY6Bpv3cNWW280lSWHTL1bYRvZ8p4jZD0+\nPmTvm6CqKvYfJ06j9D7JSkWDtb6Z0XM4BLznLdugqMSvAdBVXOv7tYSNKzDGUxI623zsfu+IeOFw\nCGwM067NXSUxCw+jJHJl963xaCVsFxFb1rRj+/oobr1moORvmwYiUBSVNRdTnTi15zfbqZthlbCt\n0QLsKQtDDalgLYlsC3ogCJXJMOlzrGRk58fjlu97KWHXw9bLGDbj+WZyRfi8LvjchGGTtCGO5LnN\ny7CpqkokkZyhTMjvRipbKJHi0f8XBSuGzS5hI793XgsAAl6n4XWAzlxVq7mvJ/TqItk8+jqD8GhM\ndrFIzoufUxWN+KqWRNKKJ+thE409bNQAIZ7KQyrIjJmdK3M/89dpNEzm6NmZBxVkFe//m2fwzceO\nAyC/VUCzPm/2hO3f/vso/vV7r1b1Gj5JW9UJm7a+RAIi3nHHFjz0qbegtyMAv9eFTQMRnBldQC5f\nRCpbYNeaoqis4Z93QKXoavfhXXddwe5RoLy1P018IhYBZDm0h0r7oCnDFvA6kczkIcuKnmhOJZYc\nm0KTF7/XZTinhIWxzmJSgt/rxE1X9QFARfPG6P4Z9JMhv82RsJFzWtcbgqLaj+ihkJaw9afreNDv\n0lnQKu+ho5ockjIVfFJeb+TyssExcaWN1qkWtEhu1cNmLgRWimTGWhLJEnbu989JRUYUXChjcjM2\nk2L7Go0pcnkZEW6EUNBXmiTdsLMX29a148WjkzgzusAS1A19JGGj642qqognSS8fVRdQ/4ddmztx\nzRVdJeo1M3hJZMDrKvPMlYVWwnYREfC5cP+HbsXrdpTSsvTCPKfJWo6em4Pf68TubURrbsV4yYqK\nf/7OYRw8Oc1cIv1cwub3OuEUhZLARlFU4mxnwbCJogNtQU9FgSvdkFPZgmG+hqKo+NhX9uKfvn1o\nyWNcTNgzbCRhG5tJ4Ws/0IfyZnJF+L1OeNwipHzRsLlZDdpuFuSLCmRFhcfNmwu4oKrGqi1gPTgb\n0OeJAbo0p78rAKcosN+dSp52bOzQXycae7kupVNk0sSwiQ4B6/vCGJ1OIiORv/FzqjoiXqSyhapm\n0+TNPWwm05FJrmgxt5hlRYz5Rfv7S79OSb/O1nVRTMcyBo0/RTonYyEp4dQwcQhMZwsI+FyIBN2I\np2qz7b5YSGbyWEhKVQUhfN9SI+VYlwJPvngBH/r7nyKZyWNmIYugzwWvywGHQzA4Ne7Y0IGirGJo\nPMHWaVqEorJI3gG1HOi9YdWzRVk+cy/2UqAsFT/YenQ6CUEAtm/ogKqS346eu6Lq+54dzAXJcFCz\n9reQxS4mJbSHPJwz3dIyZ11ySZKZZpBE0rX66iuIucJSTORSc8uY4sDnYgF7tQzZ8aF5+DxOXKOd\nk53DaD0g5WV43E527dsZqaxkHDs3h/sfOoBcvqgzbFamI1rMUq21P92jzWYblGHj19BXz86xfWuo\nTMK2/7Up9u9UJs+uO5/HyVRk5jECAGnNeNddVwAAXjg8wRK09VqrAmXYslIR+aKCtqCesNGxAEG/\nG3/1ezdj+4byA67NpiOrBa2ErUmwSZMvnh+PYzqWweRcGjs3dqBD23RiFsHa5FwKT780jB/uOY+s\nVlHzcWyHIAgIB9wlCRuTcdls6O1hL2LJpfvm+Aoq/+/5eA7pbIFVYZoFkk0Tvd/rQsjvwqtn5/CD\n58/hqZ8PI56SUJQV+LUeNkU1fkarMQDNArrRe1xGhg1ASR+brSTSgmEL+txoD3tZZZxeVz1RP+tv\nM881u5R9B6mMkWEDSB+brKgssOXZBropVNPHRgMjek3xLpGKomKKuwdmYhnGsC2mJFt5i5kJ3rae\nSNh4owmKXJ4cYz6RQ6EoI19UEPC6EAmSvo907tIzBVaQCjL7/PNVsJrxVcqwZaUiHnriOC5MJvDC\n4XHMLGRsE6U1PaSBf2IuxSS8dDA8va6J6cjS2zu9N6yGKM8uZCE6BMM4mkpAE6U5LmEbmU6iu93P\nimPxVN5wn50eKd+jZe5hiwTo8GzjecuygnhaQlvIi7YQkVFVcn3xCWHQZ93ve7FBPzP9bZdO2Moz\nbPQ3DvrdLIittugxs5DFQFeAMZzVDt/OScWSoqEdpHwRHpcIn3v1MmzPHhjFnsPjOD4U04dmW5mO\nsB626hg2ukZaDc52Ox2GNZS2toT8bszEMrZ901QOCZBCD73uSMJG7n3e0p/HVZs64XAIOD40zz5v\nb4cfPo/ICpL0no4E3azvnJ9hXAnMtv6rBa2ErUmwpicEpyjg3NginnlpGADw+iv7yro20orZ8FTS\nUhIJkMqKObChi7TPba0Bjoa9kPKywVbYCgs2CRtlERZT0iU1nTDDjmEDiFEMAEQ10xVa8fV7Xezm\npxVnoLklkZRt5XvYaNWOD6IA3iXSnLCJjB1LMzmSEx1hLxYSOSiKyuRI4YAH63pD2uvMbomXnmHj\nG643aBU72ovhNCRspbNilgItStBA1MUxiwvJHPJFhSXDs4tZTHGyWzvZMXPn067TbetINfHkhZjF\nc8nvF4vn2HoQ8LnY792sxiN8Zd98TZYDNRpxmYINgAQzKzWoe+rnF9j1+tjeIUh5Gd1R6yClv5Os\nVeOzKSaVv3ZrNxwOAefH41BVlZiOVJCwUemSVeA9s5BBR5vPYCZQCdrDJFGiv2sincdiUsKanhAL\n9BcSOcQSORacLpWMlPSwBamki1wPx87NoVCUkUjnoapkvRMdAqIhT0UFmCyXEAZ9bjIS5BKbXNB1\nd31fBKJDYH2wdjDOLbNg2LI6w0Z7mqqRfkoFGVJeRsjv1hP9KiWRf/WNl/C/vvh8RY6PUkGG1y0y\nhi23CnvYKMs0MpVka3W7BcPGbPiXiMnMoPeHOWETBAGhgJuphlRVxYHjUwj6XLhj9yAAWM6bTaTz\nOHkhhivWEoIhnS0Y7k2aWNklSV6PE5sGIjg7tqjLvoMetAW97PPHuV6+1+3owXVbu3HL1f1VfW6D\nJLKVsLVQb7icDqzrC+PCZAJPvTSMgM+F264dKOvaSDfZucUs2xxLEzY30tmCgemggWLIb91MXunw\nbP6ceMkmlYGRoL55AkYpL8PhEErc0wDgj3/zWnzmg7fg7XdsAaD3C/g8TuaSxlv5JzOFiiuFFxs0\n0eZ72HSHRGNgZCeJdPKSyKyeCHREfJC1eTFxbjNYr+nQ6ULpbCKGjZdEXLOlCy6nA8/sJ0URsyQS\nqC5hG59JAQAGtYSfHzpO3dS2aOz5zELGwLjZJSrM7MFDvssr1rbDIQAnhy0SNq2HTlZUjM+ScyGS\nSC1ha4L772s/OIaHnzxheIyX4FWTsMVTefg8TrSHvSUJ299/6yD+9AvPLe9kLwEKRRnf/9lZ+Dwi\nNg5EmHuiHcNGXYYnZtNsDe7t8GNtTwhDk4kSB9RyoPdG2hS4F4oKYokcuturq2wDRHocDXuZJJL2\nr63tCaFNS7RGp5Moyiq2b4gi5HcvzbBJRbidDlYICnMM29Gzc/jol/fi8b1DLACmQW9HxIeYVmAq\nf3zy+X0eJ2fEcmnXd7qOB3xOtIU8hnEFVpDyMnOItWLYrCSR1TBsvIGFnS38UhiZTmJ0OoWhiaUH\nges9bNqMzFUoiaTOkCNTibKSSOZinKjOxTiRzkMQrBkvXn11YTKBuXgO123tZmovq9/o8OkZKCoh\nE2ivJ00ivR5RZ9jKyBCppPv06AJCfjecogNtIdJzLSsq+x4iQQ8iQQ8+/bs3GYySKgE1aXE5HVWb\nJjUzWglbE2FjfwSFooLFpIS7XrcWXrezrGsjL9ugG55VwgYYm4tp70DIt7yEje9z4xcS3mzEnGjm\n8sWqaf1q8JXvHsHnv3XQ8m9SQYbHJZYMCweAwe4QrtrUyRw8aaO636tr6GkAQk02mpVlo8EHz7BR\nG2dzJbsal8igz2VIani5xVtv2YBfvW0TG2bZDJJIq6GhfZ0BfPAdu9ggcN5Jr4PNYqt8UxyjCZsm\nU3Nxbl40OdulzYsZGk8Y3F7tKv9mJtjncWJdXxhnRxdLGEsqiQR0Jz6/18mYi2YwHnn6pQt4WlMN\nUPCV/bkqEuREWkIk6EbY7ypJ2E6PLGB0OmXpHNjMePbAKGIJCffctAFvfv069nh31Dphi4a98LpF\nTMyl2BocDXuxoT8MKS+zynhlDJvGlJiSk7nFLFS1+v41iq42kijJisquyzU9IYS16/L8BFlfO8Je\nbFnbhulYpuy1ms0VDXJ/yrDFUxIbGH5mZFGXlWlBbzTiRVFWl5TPmiWRQDMkbAVtDqgT7VrCVo6Z\nyuWL7Pu1Sm4Yw+Z3w+Mmc7Kq6WFj/VB+d9lxEHZQVZW938snpso+V1YIS+x1O+FdxZLIWIJn2HJw\nu8SSGA6orZgIkIQt4HVBtCjehPyESS4UFaY4uW5bNzZoro0XJhNIpPP4zo9Ps/uDmpFsWxdF0O9G\nMptn15rP40RfB4mfoiF7GfUOrf+MMuEA+a+ikjg1ziVstYKqolYTuwa0EramAq1sAMA9N68HUN61\nka9u0Q3Ja5Ow8RsWlTLaJmwRXYaZL8i21Um+4mdg2ObsZV9/+k/P46+/8ZLl8eqBPYcn8MKRcctz\nlrSKXTlQa1oaBPi8+oZBJSn0d2rWWWyMYeN62Ho7/Aj4St0GFS3eL5VEOqAoqqEPyu91oUuruE/H\nMoaErSPiw/t/9UqWZDSLJFIQdGc5irtuWMfur4BPv19qkUSOz6bg84isyMES1aLCmOYrN5GE7TVt\ndhYNxOdsjEes3Ey3rY8iX1QwNGE0ZzAkbBozE/S59ITtEksiqZNo3CSPTtfAsKkqCbwjAQ/CAQ+R\nQGrBgiwrbF2rZCRJM+HVM+S6ePNN63DLrn5WPLFjtwRBQH9nEBNzaXatRsNeDHYTWfLoNCkiVNbD\nZm0+UavhCEVnmw+KomIhkdMZtt4Quy5pr1004sWWNXT8jL0sMisV4Pfo9zFziUzn2fGHpxKsD4Y6\nVbJ+uiWKMHyPXLBGQw4eyUx+2cWqTK4IvzYovC3k1e4l+6Qll5fZ92vNsOmKA9Lf7qpK0pjgGDa/\n1wmHQ6iKYcvlZeYaTAd424GqDNwukTMdWV2SSIVjk0amE4gliDOiVUG5lr0JIL+ZWQ5JwYr5mTy7\n3we7gxjsDkJ0CLgwEcdXv/cqHnryBBtuT/eYwZ4ggj4XYdgk3fDu5l19+JN3X4vbrxu0PSfeMIQy\n4fS/iymp7HiDSkFjH7teupWKVsLWRKAW/tdc0cV6qkTRgUjQY9nDZl4sPW6xpN+ASkf4hG1+qYRN\nu3mOnpvH7/z1M7j/oQOWz4vFc6Bri1UPG30OxWJSwuh0EofPzDak8p/JFbSNUrV0D6MMWzn0RANw\nCDp75ve44NMCZxpY0vl2zTqLzcp0RBAEbBlsw8Rc2lA5LucSCRC5ViarS3NoUDg2k2TXlFUljMpO\nL2XClspo1UWLHpzf/bWr8JH37MZdN+iMRrVVTFlRMTGbQn9XkG2y7HuTZVa4WNsTQjTsYezalZqr\nZqUMG2Dfx5blEjbKrAR8LkRCZDNeuMQMG20gV1Qj28e78FWasGVyRRRlFeGgm1MOkGt5ISmB5oOV\njCRpJswnyDra3e5HJOjBtZoDH50PaYX+rgCkvIwzo4tsqCx1aKOGSNVIIs0mG7MsYateEgkYjUdG\naZDXHWTMGA38OiI+Jnc6PVIuYSsamIcIV4ikLPf4bIpdS7Ryr7Pm5a8JnmELLVMSmUjn8Tt//TQe\neepkTa+nyOQK8GsBJw1o7WSRqqpCKsjweZxwOx1L9rABJFmvShKZ0Qt0giAg5HdVlbDxzz01slA2\nBqBroNctsv13JTNsp4Zj+Lf/PmooWiUzuotvVpIRS+TQbpOk2BliZaUiXj4+Zcm80gKXXcLGD8+m\n6qGudj9cThGD3UGcGV3EnsPjAIAhrcAyOp1EyE8KgrTXk7KsXo8ToujAndevNfSQmdEe8mJAk3Xr\nDJtOEvCmI7WCvn+LYWuhYbhibTs+8PZd+IN3Xm14PBryWgYhZjmCFZVuxbDFKmTYnn5pGIspCXtf\nncCrZ2cNz1FVFbFkDoPdJLHkN8RJjnniE82R6YT2WuDwaePx6gG+x8wqCKyEYXM5HQYpErH1N0oi\nqbzQPGjbChNzKRy4yIPFabXYazKVoefNz/ORy7hEAoQpSuUKcLtEtpADpIpv50AF8HPYLi3DFrIZ\nmukUHbjt2kFDBS4SJEYFlbpEzi5kkC8qGOwKscd4l8ip+TRcTgeiYS+62vRraqeWsNlV/a3cTKlT\n5ClTr0+uoG/UNAjme9jMLnoXGwmucMKvYUmDJLL89x1PSYglcoaeSX1dk0qOYZewPfbCefzLfx2p\n8hM0HrE4Md+grPTv/tpV+N1fu4pJk6zQrxX0YokcohEvBEFgSRJldiuRRPo8hCkxO8JNx8j3WTvD\nRvaQ2cUsRqaT6Gr3we/VmV8auHZwDNuZUes+NkVRkZVkgyQy4HPB4RAQT0mMYSvKKo4PkYKG3sNW\nGuimMnl87oGX2SgMwGTr77NOYivF5FwKWUnGCQuToGpAGTaAGLkA9td2USautB63CI8LDG/QAAAg\nAElEQVQ2N9QMvYdNm5XlJ/3tlRqDMYaNm7VVjSSSPtcpOqCqwCunZmyfy6sM6O++khO2R58/jx/u\nOW/Ye62Sb6v+NYCseU7RUSIff3TPOfzl119i1z2PdK4IRVFLLP35YwJEhji3kIVTFNj9ub4vwq4L\nh0AkzIWijKn5NAa7QxAEgRV76L1lFX/aYceGDsPn5Rm2eNK+l69StBK2FhoOQRDw1ls2oLfDWFlt\nD3uQy8slJhe0YkWTkHIJG8840eQq6LP++am8CwBefyWZGffA48cNVZxMrggpL6MnGkDA52JjB5KZ\nPNLZAtMy8z1sNKAEyi/WtWKac9GykptVwrABYOcOkISNNj3T4JcGGPwstrNji3hOkw3w+NoPjuGv\nvv7zqpuzlwMr0xFAT9h4WWQ5l0iAJB6ZbIH17XW1++F2OjA2m2TBslVSZJ5HdimQyuSrmsHicAhk\nbEGFDA01+RjQkljAKAWdnEujt8MPh0NAJ8dUbF3XDqco2M5is2LYeqMBeN2i4R4CjJJIGlAFuMB4\n0WIcyMVE3EKKDRiLTeVm0gHA33xzPz7yz3sQT2qV14DHUB02H8NKjQAAT/18GD968ULVw2cbCVVV\nMa8lXRT9XUH88q0bLaVRFLRCDegsEnVoo1LtSiSRgiBoNvbWksguG6fKpUBnsQ1PJhBL5LCmhxQ1\nAj4j4x0Ne9Ee8qKzzYczI4uWTAE/54k/73DAjdHppIEJe22I9OJQSWQHk0Tq18SPXx7B3lcn8Pyh\ncfaYsYeNXFvpGtdsGohPzNauwFBVFRmpyOTcVPWyaCP3pQmaVzPpsOrjpDPTKIMYDlQn/eRNR+hx\nkpl8RY6PgB6v3LCTzJYtJ4uU2OfRWxIuhiTy6Lk5/OePT1X8mSrFxBzZK/jCAV2n6KwxwD5JEQQB\nHRFvSX81zy6bYecQScEPz55ZyKCzzccKt7RY9AuvW4O1vcQMb2wmBUUl0mZAZ2pnbQzvyoEmbHTt\nojHnTCzDJJF2iWYloHtnSxLZwkUHMx4xVWRo0LNdk0v53KU3jG5/bGTYAl4inbBCW9CD3g4/btzZ\niz//Hzfglqv7cXpkES8enTQcAyAVzGjYy5JAKgPbsTFqeB6gJ2wOh4BDp2bqvijOcgmUmSWhw8KX\nYtgAvXoNUFt/PlAgVeeAz2UwHfnmD1/D33/rILOqpRibJotcJWxcvaBLIo0BH3UrPDNWmrCZ1VM8\nU5TOFVilSnQIGOgOYmwmhXgqD7/XaRkY0oSv3gYzqqri1HBsSdc3qUBmktkxbHYgm+LSrnIAZzjC\nXS/0u4glckjniujrIH/jmYrejgCiER9jhSbmUobqsZWbqcMhYE1PCGMzSQNrSV0ieQR8LoS1PhPa\nzwQAr52fN8iVLwZ4l9hYolQSGfK7tJl01teJqqo4Nx7HTCzDWP5I0F2iHKiEYVtgRaXmcXdNZwvI\nF2RDkawSUGt/QN8faNI3WYUkEiC/gZkpoWoFmnhVC8r20cLcWi1hEwTBIKGmDNgVa9uwmJIMw7Yp\nzDPYKCIBN5MZ02IUDfTpe5gZNlVV8ZOXRwEYR17QNdNfB5dIGojHErmaWaFcnvSO08/cxmIAm1Eg\nkp7geNxOSwv8dKYApyiwPbBac5UEZzoCkMRNVtSyfXU8aMK2c2MHOiNeHDlrr7KhCaeHM+G4GAzb\ng48fx8NPnjSodZYLVVWZYzBfSKa/JZ2zB5Tv2+qIEOt7ftwEjTdmLEY+lFPA8I/PJ7JYSEoGFchd\nN6zFb7zpCvzOr1yJjQMRSHkZL2kDs/niC6CvFVbxpx1uv24Av/XWHawlYeu6djgcAl4+MY14SkLA\n56qo4GSHFsPWwiWDnWtjMpOH2+nAFm0mhs9rxbCV9rDFElLZYaii6MBX/+wX8H/+vxsgOgS8957t\nEATg8b1D3DH05u5o2IOUFnjQgHDTQBs8btGYsE0n4RAIa7eQlJjjUL0wXUYSmS/az2AzgxqPAKRq\nRBk2gGxyDoeAnqgf07EMSzpphYtnDouywhbS6SVm6NQTGanUdAQAutp9CPndRoZtCUlkQVaQzhYQ\n4Iw71nSHIOVljM0kbTcD3pyknnj5xDT+1xf34PlDpWwmDytL/0rQEfGSsQUWPZBmjJscIgH9e9v3\n6gQAYF0f2dxo4BsNe+FxieiMeLGQlDAylcAf3P8sHuJs7+3cTNf1hlGUVYOpD2XY+MQ04COmAhv6\nIywZTGXy+D9f2YsvX2RJoIFh44JNGiSu08ZB2BmwLCYllvQ/pzEi4YCnNGFbLJ+wFWWFMeTJJRwD\nLybmWeGrusSILyrRtdzrdiLkd7NEpBJJJECkcamskSmZWcggGvYaXFSrAU3YqJEIDfIAPSj1eZyM\nQdqyhkh+z2h9bPPxLDsfuxmjfOL3hl36nKaQXw/2zGYN58fjbN/hR15kpSIcAlGrUAaJT+iqKS7y\nhdXJGgskNIGk6+5SPWwswXGL8LpFZtrBI5XNI+hzs3XFykGaYnQ6WVLcKWXYSovB5UALJWG/GxsG\nIoin8rav5XvYdIatsQlbviDjrOYOXc99Ky0prOhgZNjIb7ltfZQVz8vJADsiPiiq8RqgCZtVgrlU\nwkZ/x6Fxcj90cSqQSNCD97xlO0J+NzZoI4HonrtG62OneysbKWURf9rB5RTxjju3sHOLBD24cmMH\nTg0vYHI+w8Z/1IrB7iA6I17s1Ji81YJWwrYCQPXrE7MpfP3RY8x4IJUpIOh3Y20vCXrK9rBpwUqh\nKCOZyS9Z0RVFB1vYB7qC6GzzMUYB0IOiqMaw0cfoBtXXGSC9d9pGqaoqRqYS6O0I4PVX9gEAXjlZ\nX1nkjIFhMwZtVs57dujvNEoieYaNblJ9nQHkCzLm4zlI2n8BY8I2u5BlOvClhp7WE1aDswHNeGRN\nm8Hh0VYSqVXnyQw/1VCpon1sRVm13Qzoc/hrph6gLol0sLkdrIZmV4IoZ1KQyhbKBmo0SecTfBoo\njs+m4XaJ+KU3bASgb4b0uR0R4qL33Z+eJTNpuN40u15LKkXhZZG5vIqA12lgQmhVfuNABKoKXJhK\n4OTwAmRFxVCdiyRLwap3FtDVAXR+n10fGx840V4lg+mIlpjz97tVwsYH39UYLTQavC1/NQgH3Iwh\n4V9Le8eAyiSRAClCFWWVyepkRcXcYrZmwxGAyFZprxKgX7sA+f0Anf0CwAbxnhldwItHJ/Bbf/k0\nGwWR4VxqefBrz64tnez74INej0tEyO9igfKzB0bZ3/iELZMjpibEgZPco3QcwUIih3d//Ak89sL5\nij47f/1NzNWasGlJqnYvU4mnHcPGZNRuwkjli0pJb1oqWzCs4+VmqX38q3vxdw8bzcb0NZUcgzGR\nFTLWehHNzUzVqFTQjBzfw+ZZ2nTksRfO43c/82P8+kcfw5/8488qUkiYcWZ0kakX6mkoFkvq521k\n2Mj11xHxYlAraLSXscM3s8WFosIKPpYJW6oyho06ttqx6VQeSdUatPhCpcO1SCKtcPNVJC7MF+Rl\nWfoDJAH85iffXNatciWilbCtAES14dn/9v2j+O/nzuHRPWTjSGbyCPldWKdthv4KetioLKl6CU7A\nIPGgso+OsDFhm5ojAVZvhx/RiJfYectktlwyU8Da3hCuvaIbAHDodGnCNh/P2m5KS2F6IQOn6IAg\noERaY9UXZPtZTZJILxc8002OJiTjMynmygYAR87MskWfZ0Jqrdils4WqmUgrW38K6sj22nnS62HH\nsNHqPA1qDAkbVy2305n3dwbgcAgsyK4XqLR0qf4Q2rhcPcNGNq1HnjqFez/xBP75O4dtk7axGWKm\n4OUSepeoXyu//IYN7N6gfan9LGEjj9O+x7GZFHsfu15LPWHTr4dcXiEDzblAnQaudFj6+fE4G7q9\nmJSWZVdeLXgnOL63LJ0tMJknYO8UOWVx30QC7hLlwNxiFg6HQPppLfp8DIYnzcSwxXVpebWgQS//\nWp6pc1YsiTTO1IrFyfy0Wg1HALKe8MkjrcoDOsPGn/fmwTYIAjHV+daPiLvi9356VjMcWZphG+wO\nsfvDHPR2RHyYj+dQlBU8d2gMkaAbvR1+w7XJu1D6vS70dviZ6+qxc/NI54p49excRZ+dLw5MWPQW\nVQIzw0aTULuRFXzPFy328CybqqpIZgqG9TBok7ClswXEEsTMhV/7EmkJTtHBvqdwmYTPCoxhC7jZ\nHmv3/fDGSx42h81eXv+D589hRtv/z47FLSWCS4E3ibFad2rFPJ+w8QwbN4KCXrtLMWzkGFqStphh\nBZHaJJHkveh13mVzv1OGDQB8HpHd13SfoYZF3iokkVZ4vZawAcubwbaa0UrYVgBo0JfXDBzmFrNs\nPlbQ78a63jB+464rWDWfBxnEKLKbt9aKLu2ZoAwarey0hz2G4d5TsTQEAeiJ+hENe6GoJOinrMDa\n3jDaQh70dQRKEhFVVfHRf9mLv/nG/qrOjWImlkFP1If2kKekh83Kec8O3e1+0PyFmI5wDJu2+NG+\npbHZFGvyd4oOZHJFnBombMkkVz2cidWmiX/g8eP4n//ws6qsyungbLez1LRg9zaSLB88SRq+l7L1\np8EH3z8yyJls2G0GLqeI3qi/7gwb/a6tmqwBcg19/2dn8dkHyDU0wCXflYAGkfuPT0FVgWf2j+DB\nJ06UPC+TI0HNoOn49Hvze514+x1b2OPrekP40LuuwbvuugKALhmjVfBUtsAke7YMWw+pdA5zSXCu\noCVs2mbuEPSNkzaznx+Ps2sSgKGvrdEwzn809rAFfS5W1bVL2Gilm/8dI0EPq/LzPWzRsBedEWtH\nXT5ZvJgGQEuBKRWqXI8BoE8zHuFfy1fJq2HYAL2vkBmOLINhI+dCAsCOiNdQ8NH7y3hW2IXB7iCO\nnZvH8FQSTlHAxFwaB09OY79mTtFuCmaptX9Xu48Ml9eUJuagNxrxIpMr4tkDo4in8rj92kF0RHxI\npPOsHyhjGsy9rjeMeCqPhWSOyTonK2TL+Ouv0teYkTb17VFpvm0PW546A4usl4jvLctKxDGQVxyE\nA/QeMvUvavdiVpIN/W3JdAHhgIspb+wSPjvwMnVqmjNuU3hj+7VLhMvpgFN02EoiU5k8puYzuGpz\nJ95+x2YAqKnd4gTntFhPSeR8Qj9vPi7hh7y/9eYNeOPuQWZoZgUzw8YrimhMyEM3HbFOfugaSl9n\nd7+TkSHkb9QhEigthlYjibRCR8SHbetIQXk5M9hWM1oJ2wrAYHcIHREv7rlpPTojXswuZJDJFaCq\n5KZzOAS8557thoGEPEIBj56w1Rgg9GsLLGU2FjimjvZQzCeymJxLo7PNB5dTNDBvw5qlP20+7+sK\nIJ7KG+ykqaTy/ES8RNIQT0ll57bkpCIS6Ty62/3oiPgwt5gzVAerYdh4a3+fx2kInukiN8Akf0mW\nxN56DemjoMkQP96gloofAJzSpGzVbPyZbBE+j1iShAHAlrXtCPldOHhiGqqq2koiaXV9v9ZozLst\nDXQF2fw9u4QNINdtMpM3/G45qYg9h8cNjdPVYEoL4KdjactjHDw5g2/88DUIgoDf+ZWduO3a6iQR\nlAFb3xfGF/70jejvDOC/nj3D5tFQ0F4bnm0EgN7OALrafXjfPdsN340gCLj7xnWMaevkglUqBxub\nIYmYlC9aXqedbV74vU7GsMmKCqlA5Kqd2j3o87rY776mJwSnKODceNwguaTvczEQT0kQBM3MJWmU\nRAZ9LsO8LitQRvUtN+nz8sy2/rKiIhbPoTPiRXvYi3S2wO53ihgviWwqho187loYtjt2r8HVWzoN\nQR7PtFbKsNHAm0qo2Ay2aO0MG6DLM9eY7pGIhSQS0PvYBAH4k3dfBwD4vz84hh/uOY+BriDeuNt4\nL4e1oI6yd+tsWAp6rz305AkIAvDWN2xAW9ADVdXlsVmpaBjMTaW6FyYSLGGbmEtX1Mu2kJTQHvLA\nIdQuicxyYwYo2kPeMj1suoRQZ9j0e8A8gw2wH5rOy/f5xCWRyRsTPpawVSaJpIldiJNE2hXeKDvo\n9VAHbNFWEnlO6zvbPNim/25VJmyqquLEhRg6I144BJSYhy0HVBIZDXsNcUkskUPI74bL6cC29VF8\n+N7dZeeX0euYFt3p6A2HQ4CsqCWOwIxhs+kH83mchjWinMEQlUXy97K53cBXQbvJUrjpKhJD2Z3z\n5Y5WwrYCEPC58M1P3I0PvvNqdEf9iCVyrDpTSY9OOOAuTdiqDBAow0Y15zFt2Gtb0MMkKI/tGcJ8\nPMcCCL4fSGfYyA3frwWufCJCtdSFomKoUhaKMv70n57Dx76y1/b8Zrggo7PNh6KsGAKzanrYAOD2\nawdx485eIgGx6GFjG85MClPaZ7j7xnVwisQBk/9s0bAXMwuZql0xZVnBqBZcVzpcGCAMm7nfg0J0\nCLh2azfm4jkMTyVtJZG3XjMAj1tkzlD88dwuET1aMFc+YTP2sSmKir97+CDuf+gAnjclQJWgUFQw\nr30PRVnFjIVun15Df3Lvdfi12zdbDs0uhyvWtuMzv38L7v/Qrdg4EMFH3ns9gNJ+y8f3EQOeWziz\nA4AERN/4+N14qwXbzYMG1p0RL97y+vUAyPekKCryRcXyOhUEIiGcmE2TcQs5PQijwS/PZLicDqzt\nCePs6CIyuSJLRkfrzHqWQyJNgryOiBcLCQmqqhrkWTRhsxtWTgPGO3avgVMUmCTL5SS9Ook0KQjI\nioqONh/H9huPZ2TYmsclcjkM23Vbu/HXH7jFcG/yhYBKGTZafKJ9ofT66C0zuLsS0N92rSlhY5b7\nJqOVK7R945Zd/bjt2kHs3NiBybk0RIeAD993XYnkiiZ+1PRn56ZOOBwCNg0YWQp6bywmJdx8VT/6\nO4MsqVtMEofSoqwYlBTr+/XAn34v+YK8pNJBVUng3N3uR2e7v2ZJZJr17enn1B72IqFd62bwkkj6\nOXiGLV0mYTP3dPLtBDRxkTXzqRC33us9bJVLIgWB7CXRsBdet2gviTQVWL0ep60bJXU93rymjZkY\nVZuwjc2kkMzkceWmTnS2+erLsCWL8LhFXLG2zRCXLCQltIcrZ5J0ho1cgzTm2TxIlBRmFc9Skkgy\nGkO/HsolbFRezyds/LXkdjogVlggKoe7bliLN143iNurLLReLmglbCsElIbuavNDUXXdcbDChC1f\nkJGTijUHCNQsgTJssQQZ9iqKDraQTM6nEfS58P5fuUp7Dw977sgUcYikQTyV81glbAAMDlXPHhjF\nzEIWI1OlzlUUNHjv0RI2wJjk8BKLSvCee7bj4799I3kNz7Bpix/ddMZmU4xh29AfwY4NHTg7FtfY\nwhQCPhc2DUaQyRVLhtPyGJ1O4qcHRw2PTcyl2RyzSoc5A9rA1TLyhOu3a3NwTkzbSiIDPhduu2bA\n8P88BrWqdrlZKWt6dBYSAL7zk9PYf5wkgLSHrhrMLmbAxypWDev0vfiemWogCAKu2tzJgp71fWGI\nDoElzgBJIl46NonNgxHssGG1l8LanhD6OgN42xs3Y41WxBidSTJHRLvrdF1vGLKiYmI2xa4nXhIZ\nNCXqGwb04ct33bCWvE+d+wrLIZ7KIxJ0oz3kRVFWkMwQ9qsoKwj6iHGGxy1a2rkD5LuOhj2IBD14\n043rcPOuPoPLXSKdZ/d5Z8QHO0fdZu1hiyVycIqOsoWPalBLwkad1I5rM8yOnp2DQyBW28sBnWdJ\nWQ+KN1zdj3vfvA13mBiz23evwS/dsgG//ctXAgDeocnb3v3mrYx9M5z3xg5sXx9lwd36vjAe/vRb\nSo7LM3lUMqcPlpdKDD4AMHnlS69NGdbtybk0clIRn/jXffiZxdzNZIaYNLWHPejvDGAhKZXMT60E\nGQuGrS3kgaIaR2VQSJwNPt2v+OHZlN0KcDI2upfZjXQA9H2VMnR8gdgu4bNDKpNHwEvm8AmCgP6u\nICbm0pYGITkuAaX/zdr0sFEGdMtgG7rafAh4nRiuMmGj/WvbN0RZUbwe8xpVVUUsVURfR8AQl+QL\nMtLZQonMtxyo+dycSRJ55cZO8v8mFU8inYdDgMHh2Qy6f4f8bnjLmIbccnU/1vaGcOPOXvYYHxMs\nVw6pn48bH75vdwkr3wJBK2FbYaA6Y5rchCowVeAtsGtN2Ho7AprEg7AAMW7Yazt3rD/6jWvYOdK/\nnxldxNBEHH2dQWYTzRi7eT3oPmeRsMmygu8+e5Y9btf4TSti3e1+Jg8zJGwF3fa4WhhcIk1uibML\nWQxPJRHyuxHwuXCjNmj8xaOTmJrPoK8zwOSFVowQxcM/OoF/eOQVQwI7zJlL2AW0VsjkjPIeM67b\n2g1BINJN2UYSCQBvuWk9+7c5YaML6lKSSIBUL4+encMjT53UTDpEHOf6BSoF7V+j721lPDI2k4JT\ndCxbzkXhFB3o6wxgjGvAf+yF81BU4Jdv3VR2uHE5+L0u/NtH78Kv3LbJ8D3xbm9W4J0iU4aEjVzz\nfp9x4+SHsl6/vQdtQc9Fk0TKiopUNo9wwGNgvvhqvyAI6I0SJsLMHMiygtnFLHo0pueD77gaH3nP\n9ezv/Z0BzMdzOHKGzHPqbPPaJmx8/1wz9bDNx8k6Wut1ZAY/oL1SSWRXuw/dUT+OD80jkyvg9MgC\nNq9pW/YMozfuHsQfvesavHH3GsPjXo8T7757a4kKIOhz4ffevovtH6/b0Yt//+Td+I27tloevz3k\nxf0fupUZKQEk8DR/l7SYcdWmTvZcnmGzMjXp7wzA7XSwwhItPk3OpXH03BwOn57FP//nIbZGp7IF\nyLLCmNz2kJcx2lM1zOBkpiPc/VzO2t84OFsz6eB6vlIWrrk0djAXMIwJGzl3K7bGLuGzQzKTNzB0\nA11BSHlr1tKsiPF7ncjkCpbs4tnRRYT8bnS1+yAIAtb1hTExm6poBujQRBxf/M9DzOhm+/ooeqJ+\nqGr5/bpSkMRPRX9XgBVT5uO6Qqq9ijjM5XSgLehhDNt0LAOHQ8C29eSaNscIiTT5vq1aIyjo9bBU\nv+qG/gj+5SN32jJsyzUcaaEytBK2FQZapRmaqJxhi3COarWajricDnS1+zExl8aZ0QVIeZlVTj0u\nEffctB7vuWcb0yDz7/HM/hHk8jJ+9fZN7G/9JsaOfCY+YSMbxd5XJzA5n8ZVm0gViQZnZtBqU0/U\nX+KmBPCSkeoTNtEhMG25YcPR2MK5xSz6OkmCcNOV5PM/vvc8CkUFfR16wlZOZkG/B94BkJd12EnG\nzGDynjIVr0jQgyvWtOP4UIxttpb9bmvaWMAfMB3vTTesxW3XDuDqLZ2270PZ1NHpJL79zCmoKvC/\n33s9tq5rx+h0surAmbpxXreVGKeY5TSqqmJsJoWBrkDVUshyWNMTQjpXZMHdMy8Noz3kYT2Ly0XQ\n50J7yIOxGZ2ttauKUnnZ8HRCT3y8LjLM3es0DFQGdCmLzyNibW8YA91BTMcyJT1ejUAynYeqEula\nO5dI0WuOVvuvWNuOXF42XPsACUAURWXyWzPedCPpa/veT0lBp8PEsE3MpVjvXiyZg8vpgENonh42\nWVGxkJTQUYMc0g78saoZPLtzQxTJTAFPvzQMWVHZerscuJwi3nTjumUNwK12Pp0VrtrciXtuWo/f\ne9tV7DE652kxpSdsvCpBFB2M+QaAW68hrN3kfBonNQOffFHB3z98EF/8z0O49xNP4D+eOaU7/4W9\nuhPiXAqTc+mq7jnGsHmMPWyA9diKnIVLZG6JHjaXU0TA5yphZngnQ7qvWiZsNOGrYB2nMmi+wEz7\n4sc5ifZ0LIORqYRhrhxA5LmyopaMx0lm8piOZbBlTRtL1Nf1haGo+liGcnjwiRN4Zv8IslIBt107\ngHW9YVYgmq4h0TaD9jAOdAXRQRk2zgm7nI2/FTravJiPkz646VgGnW0+1hdtxbAtxdzTv5eTQ9pB\n5BxDl2vp30JlaCVsKwy0EkKTm//X3pkHRlWea/w558y+ZJbMZF9JIIGQEAgQtiCrsrhUqGItFG6t\notalSpFFS3tVxOVqb9Uqbre1Yl1abK1WpW4IKEjYEghbNiALSSb7PslMzv3jzPlyJplJJskEMvj9\n/svMnMnMvDPf973b8w40w1bT2A6dWt5nc6s3Iixa1DfZySwbcZ4aANz94wm9IqFSp3BmWgQWTesW\nDggxa8CyDMkotbR1oqKmlahHiQ7bP74pBMsA996cDpNeidyCao+9YFJls+6+GGmGbWAlkT0RHT2p\ngyxVCBQXTatJjcRoI1HiC7doyYHT2yw2nufJQV26yYh9fwzjew9ba3vvw4cnMseHoauLx+cHLwAA\nOA8RfoZhcOvVSQgP1iIhyr0vJDpUj/UrJ3vtlQOEz8qoVyKvqAa5BdVIH21FcqwZyXFCGeHpcwPL\nsokO78QkK4DeDf11LocqapDlkN4gjmdVE3LybWhpd7gOokNvsu7+H3rY6lrx0R5hZMfMCZ6dQW8Z\nNpVShhfXz8Mvbhjv9vj4CAMUMhbj4oPBuWT0eX7wcuMDoUGiUiaWR9c1tfc6PCbFur4PEiVLoNve\n3hy26anhMOmV5PksBjXpCamub8eWV/Zj88vfoqPTibrGdpiCVNBpFCMmw9bQbEdXFz/gfuK+UCll\n5HP1NcMGCOWFALDT5fymjbb67TVdbpRyDnf/eALpbwIAo667r01cW3sq04llkYBQxgkIa464bmWl\nR+LcxUZ8fvACeB7IzqskIyVMeiUJSr7yj+O4Y9sXeO2fx31+zWT2nIcMW09xCUBSEqnsVomUinSI\nQRJdj6xpcqwJ5dUtbk6gra4VFoPQYybuq1LBEBG1UgaOZXwqMbZ3OtHp6HLbP0kfuKu0vam1A+uf\n34NfP7+HBCjF/VoMjvYUKSkoEcohE6K6KwnEQLIvZZGVtS3QquV45/GlWL9yMliWIeuNp1ls9U12\nUjrsC2IgNsKidav8kX5PBkJwkBodnU7UN9lR29iOUJOGBISlmVFpdUNf6LW+ZXvUbsEAACAASURB\nVNi8IfYxUoft0kAdtgDD2qNJ31fREUBQVKuTlDIOFDFi+EV2CRRyDulj+t7UNSqhVCvErME9N6e7\nlarIOBahJg1x2IpcDuiUcWGQcQwqalrQ1NqBgpJ6jE+wINyiRVqiFfVNdo+Rs8paYQaLSa/qu4dt\nkEpGqh6zZwC4OQaiwwZ0D4AEhD4OcTGsrGtFp8PZqx+trslOXp+0v+jcxUboNXKEmjUDd9j6KIkE\ngKUz42HUK8lG7K1sInN8OF7dvGBQogiA4OyIkV4xwzouTjgcnhqgwyY68fERBpj0yl6bt1jqFxky\nMCn//pCWLIolUn1lFgf1P0J14Hlgz7EyhAVryKzCnpiDBIn0CxWSDJtr07QY1b02Tq1ajqfvzcK9\nN6cDAKJFIZghSPv//p0jpISoL8SovEErzbB1z4ETB6+KUs5nzrt/H/pz2GQci2tcgi2AEH0Wv6df\nHbogZBI7nCgsbUB9kx1mvRL6EeSwidUO/sywAd1VGAPKsLkctvomO2Qcg3Fxg+vNDBRISWSzHecl\nI2ekiMp44RYtokJ0UCo4lFUJWdvoUB3uuzkdi6fH4e7laUiKNeHcxQY3oSlx3ahvsoNjGezLKScz\nOvuDiI5IM2xiWbGHkkhpj7ZYnuaeYeseWi1FzKSeKBRaDZxdPKob2mE1aWA1aUiGTXTKpOcNhmGg\n1yh8yliTkky1B4fNtY6//uEJV9DNSXqdxfcSJRH5kkL61yRKqb4qRfJ894B4aUVGt8PWO8D63F8P\nY8OL+4iwWH+IgbFwi85NYKmeZNgG6LC5zm4nCmvIa9Wq5dCoZG4B4eZWobrB9wzb4FoIxAAAddgu\nDdRhCzB6pq4H4rCdd0XlB3v4FiOGHZ1OTEqy+lS3/D/3zcb/PnBVr8geIGyE9c1CU7bYk5cYZUSI\nSYOK2hZyoB/naooXD8m5+e59bO0dDpy72IiYUD1YliHvr7peUhJJMmyDW1jEDJunkkgACA/uXvCm\nSx02SYatsqYVv3llP257/HPkFnSXdkr71kSHrd3uQEVNC2LDg2AxqlHfbCcCJH3hSV3MExqVHCsX\nJZO/+6pzHwrioSU6VE9mwCXFmsAwg3DYalugkLFC9Nqqg62u1e0zEdUoo/zssIn9KyWVTcgrqoGM\nY9z6ZvyB9DUvmhbn1R4MwyA2TI+L1S2krKavpnIASIgyktIycQxBySD72MptzfjqUAk++Drfq8y2\niCgTH6RTwKzv7mFr7uFoRofqoVHJ3GbFARKHLdj7YWLR9FiwLAOWcY0Ycf32xZl2AJB9qgLOLh6m\nIBWCtAo0tXb6pNgqHdo8HIhZjcFI+vfFYBy2SKuOZJjGxJj6FCC4EhAVJhuaO0gfWmy4e2ZezLAJ\nQ70ZMju0vcOJ5FgzVEoZ7v7xBCyeEY9x8cHo4kEcDaNeiXCLFht/NgVP/nIWFk+PQ0tbp89iS2Lg\nbeA9bDIihe8xw9ajIic1UXTYhNdV19iOri4eVpMaoWYNWtodaG7rJEGOng5AqFmDytpWr47o3748\ni/e/OCvJ0ElKIkXV2oom7D5Siq8OlWBUpAFalYwMhBYDrGSMTo8gXT7JsHU7bKLdisoa8G1uOXb3\nEPMSaWnrRJvd2ctZCXOtNz2HZ5+72IijZ4V9+6WdOW49gtLnlDqKeUU1YBnBiew+l7QRGw6khw0A\nqU55+YMcAN2jN0JMGlTVtZF1zZu9eiJm/cTy1IEiBt2ow3ZpoA5bgKFVy6FWdmeJei7AnhAVsT74\nOh8AMMWlEjhQIiQlgNJyyL6wGNVenUrSx1bdQhy2UZEGhAULM9pEKXVxvtwEV5lOzz62k0W16HR0\nkYyfXMbCqFf6NcMmlplINxyrUQ2F61AkzbBFhejJIT/cokWQVgGlgkP2yQrkFdXA2cXjyTezibCK\nVPmyxCXtXlLVBJ4H4sKCYDGowfOeexd64ml+jzcWTI0ls4v82fMlRZQcXjanW6BDq5YjNiwIZy/U\nk42+uLwBv/r97j4VDCtqWhEarBUUxixadPHun91wOWxiJLigpB6FZQ1IjDL6vcladGxlHEvUHL0R\nEyb0aJw9LxxWBiIOIapnHi+s9ikA0JNDp4QZgx2OLhzpJ8oslkQatEpSqljb2LskkmUZjIk2EWlt\nEbGHJLQPeflggxo3zx+DhZmxkHEsFHKOPK/43dt//CIAwaHTaxTo6uLJYGJv2Dud2Pzyt7jt8c+9\nKtMOFTHTPtgAmjdEB3AgJZEMw5B1VjzEX8molTIo5BzqmwQFY4WM7fU9G58QjGumxeKG2cKIDlEp\nGeg+OIuMdQk/iPuYaNOZEyKQMiqY7JcHTlwk1/A8jwMnLqKk2t4rgNDa3gkZx7qVXZMstaSfud3u\ngNPZ5TY4W5phe/uz09h9uMRjDxsAJEQaoFZyOO7KsIlldVajGiGuyhBbXSvJovXcy2PC9F7nhJ6v\naMRfPjmFd/5zmuxd0gyfTqOAQafA0bM2PPv2Ycg4Bg/8ZBKWzIwnjxFLIsWzgjTD1tzagcOnq4Qq\nFkkgW6uWw2pSI7egGk++mY1n/3rEY++7KNLRsxzQpFdBLmN7Zdg+/KYQgCBMUlHTind2nXG7v9zW\njPuf2437n/0axeUNaGi242xJHaKtgiCZQs7BoFOgsrYV3+aWA+hWUvWVuRlRuDozlowmCTWryXto\ns3crUfcn6S8yb0oMHlo1GVPHhfX5OG/QkshLC3XYAgyGYWCRRIQGkmHr4oHMlDBc28+MKG+IiybL\nCKWLQ0XcAC/aWpBfUg+lgkOEVUciXHuOloFlukumQswahFu0yC2wuTVwiwdHUYwCEA7ZlbUtpBdg\nqD1sSXEmJEQZ3BYmlmWIEyvdzAHgzmVp+Pl1KTAHCQpwISY1unjBXquXjkNTayce/7/v4XR2kf41\no14Je4cTtvo2Un8f48qwAb71sbX6mGED4JpvlIGlM+N79aj5i/lTYvDMvVmYP8XdCRkbZ0ZHp5Mc\ncD7dfw6FpQ1ktIEgINKtzNjcKgxZF78bpKFfEnEtdTl7kVb/OmwalTCY+vT5OnR18aR8zJ+McvWa\nzc2IIgEWb4jCI6fOCVHxgThsFqMKybEmnCiswaaX9pEDmsPZhf98f75XWWJPRIcNAPZLDp+eELNc\nBp0CRp0SDCNkB0SnTBpsEiXkRZEQW10bCkrrwLIMiQJ746eLknHPTenkb/Fge8eP0hCkVRBH3hSk\nhF7rWRlPSlcXj/995wjyimrQ1NqB379zxKM6nTdsdW295vZ5ooZk2IYurCFl2vhwxEcEufVs+cKM\n1HBwLIPpPgbjAhmGYWDUKVDbaEdpZROiw/S9glZyGYd7bkonPZYRUoetx8iD5Fh3B67nbzglIRha\ntRzf51WA53k4u3i88o/j2Pqng3jjPzbc/9xut96o1naHW3ZNfE6jXomcfGH/a27rxB3bvsDz7x9z\nU5cVg5Iniqrx7udn8NLOHLLH9CyJ5DgWY+ODUVrVjLrGdtjqxV7w7t6oqtpWr0OYRdVAsd9ayt++\nEALEDiePY67MlF7rvlYtmBKDuPAgXDMtFo+tnYG48CBcN2uUEHyRsaTSQKWUwWJUu5XBf3moBB2d\nTiyaHttLGTQjORRKBYe5GVFgGOC1fx6Hs0cWUFz7LD2qllhW2K+loiN1je3YfaQUkVYt/vuO6QgL\n1uCD3QX479cPYO+xMny4pxAPvbgXlbXC6Jkvs0tw5EwVeB4YHdH9/MEGtUtYpQmLpscNWM2YYRjc\ntTwNk1zVKjGhwm9cdFhFJ9RXh00p55CVHjnoChsxAKBS+q+fm+Id6hYHIFaTGiWVTZBxjE+qh6Yg\nFTiWQViwBg/8ZNKgf5whZg2MOiUSo41+mRskHrrf//IsSiqbkJkS5nqdwsbY1NqB+Iggt2zRrAkR\n+NuX+Th0qpIMLT56tgoKOUcixIDQk5FXVIOTxbWYPDZ0yBm2229I9Xj7oulxOFVc2ytKnpZoRVpi\nd49fWLAWJZXNuHNZKmZPjEJxeQP2HC1Dfmk9KqqFjWHK2FB8fvACSiqbUOxy2OLCgtDl9H0WW6sH\nxbO+iI8w4M5laT49djDIOLZXNBoQeic+3X8O3+dVYHS0EdknBUdALM3Zd6wcT+84hDtvTMXSWaNI\neUpYj9lOOQXVyHQdMMtszTAHqXzKLg6UqBA9UR0dNwwOm1GvxCubFpBSrb4QhUfEKOtAHDaGYfDY\n2hl48W85+OZoKe586kssmh6LE4U1KCprgMWgwusPL/Q4BLXd7sDxwhrEhQehpb0T2Scr4XB2ec3k\nNIoZNte8RpNeibKqZuJw6iT9LOJ35PDpKhw5XYVPvjsHh7MLU8eFDXgg6/K5iSivbsHYeDOSY82k\nTM2sV5HSsKbWDoTDc3R759f52JdTjpRRwQjSKrD/+EX8Y3cBfjxvtE///6WdOTh0qhKvblrQK5Aj\nRewP8ndJ5OSxoWTW4kC4alIUpo0Pv+LLIUWMeiXOXhCy1D2He3tCtKVWLe8lbGQKEnq1q2pbEaRV\n9CpHlXEspowNxe4jpdh3rBzfHC3F93kViAsPglrWiTOljXjh/WN46aF5YBgGre2dvfqQOZbBwqkx\n+NuX+dh3rMylNmjH/uPliAsXsslKyeBscS1tsztRUFIPuYz1GLBMTbDgyOkqnCis6c6wmdRkz6ys\na/UoOgJIHLbKJsyEoFLc6ehCfZMde4+VQsaxcDi7cDCvwuP1a65NwZprU3p9lncuS+vVaxpl1eFY\nvg1tdgdUCg6fflcMuYztFQwEgLuXp+HOZWngWAYyjsXnBy/gswPnsVSSvRN7vjwpJIaatSizVaG5\nrRM6tZysRzfMToBaKcPmNVOx/YNcHDpVSYJYDAPc8aNUvPv5GXxzpJQEWEdHdP++LQY1isoaYNQr\nsXrJ2F7/1xdkHItH/isT5ysakegKtIpByuLyBsRHGHx22IaKGACgGbZLA82wBSDiAqPzMHPGEzq1\nHE/+chae/GXWkGbryDgWz/96DtavzBj0c0gRN8BzFxuhUclwh0t2OUzSsyL2r4lkuYY57z1aBkBw\nYi5UNGF8QrCb8uV416FabKYeaobNG0tnxuPXKzP6tcPqJePwwE8mkdcv9rnl5lejoqYFMo4hUbOi\nsgbsO1YOtVKG+IigbjngHhk2nuex86t8PPTCXqLm5avoyOVmSkoo1EoOXx8uQVFZA3lv+SV1aLc7\n8M1RYSjtjs9Oo6m1g/QthrkikuljrDDplfjqUAnsnU60dzhQVdfm93JIkShXiSvDYNgEGSxGtU/K\nkzFh7odFT/2hfaFSyrDup5Nw/4qJCNLI8a89RSgqa0CISY3qhnYcPFnp8bqcfBsczi5MGReKaePD\n0dLWieNe5iICkh4216FhRmoE6pvt2JcjlANJM2xiT+BHe4vwr71FsBhVuH/FRGxeM2VA7w0Qsrqr\nFguHIenwZ7GHDfAu7c/zPD7dfw5atRybVk/BPTelwxykxNufnUaDh4HFPbF3OpHrKr/yNoJE5Mz5\nOmhVMrdy6ssJwzA/GGcNcM+CxYb1n40U96ukGJPHoKeYdfMmJCHO6Hx6xyF8n1eB8QnB2PbLWViR\nFYys9CiUVjXjhKvHrbXd0WumIgBcMy0ODAN8tK8IH+0VFGXb7E7kl9RBLmPBsYxbUDLErCFl/N7W\nifEJwl55vKi6u0xQUhJZVduGptZOMEzv4JC4Foml7Bv/uA+3PPIJfv38XnTxwOql4wB0K/r6UhEk\nvM/YXgESqVJkbn41ymwtmDUhwmNFAsMwJGO6aslYqJUyvP3ZKbfZbN5KIoHu9ejY2SrwPI89R0td\nGTthpmB8hAFP3ZOFbXfPxJql4/DQysnYvmE+rssahdkTI1HfbMe3ueWwGFQIMXTbUfwO/eL68T6N\nZPKGXMYSZw3oFg0SnXRxP+1PJXKoUNGRSwt12AIQ0WHzRdJfJDnOTJSxhoJJ778MRohJA3HfW3tj\nGinBkB5gxvY4HMeFByEqRIfskxVobe8kak3SckjxOo5lyAI21AzbUIkND8K8ydHEsRPVuY4XVONi\nTQtCTBpyaPjX3kLUNrbj6sxYUgoCuM+V43ke//dRHv7875M4da4Wj73xPdrsDlIS2dcctpGASiHD\nzLRI2Ora8Od/nwQgOOoOJ4+cfBuOnrWBZYT5Qc+8dQh/+eQk9BoFZriyqjKOxcLMWLS0dWLfsTIi\nnzxcDpsYSY4NCxrSRusPjDolcTwYZnCbJcMwWDA1Bq9sWoB7bkrH42tnYMtt0wAAn35X7PGaQ64y\nv8ljQzFNHBDfR1lkt6y/8FqXzhKi26QkUnL4C9IqkBRjglLB4WdLxuKlh+ZhwdSYAWfXeiJ12MQe\nNulr6EmZrRm2ujakj7HC4Pqcb5wzGg5nF+k76Yu8whp0uHoDc/twZuua2lFe3YLkOPOwCf5Q+kYq\n4+9L+ejoaBNSEyxYND3W4/3iXuVNSCIjORSjIg1IS7Rg0+opeHztDPIbWDwjDgDw2XfnXD1pTo9B\nt1CzBhnJoSgsbUBDcweSXI6Fw8mTahvperBkehxpgfC2biVGGaFVybD7cAkRw7KaNKRcr6SyCXWu\ncUA9y0atRjXUSg4XKhpRUdOCsxfqoVXJ0d7hQGKUAddnjXIrOfSl594bkRKlyI/2Cc6qtN/NGya9\nivR9iecBQOKweVBIFJ3r709U4EJlE8qrW5CRHNIroDE+wYLl80Yja2IkqRiaP7k745cxNtQtmHvz\ngjF49I7pmD0x0qf37CtxEQZo1XLy/o6cqQLLMm7r33BAe9guLdRhC0DEiJC0pCgQkctYXDM9Dtdn\njcLcjChyu1TGW1rmCAgHzdnpkehwdGHvsXJ8myscGCf2GDGgUsqQGG1Efmk92uyOYcuwDRaDTonY\nMD3yimvQ2NKBcIsW4RYtZByDhuYOsAxwfZaw0VoMvTNs735+Fv/8phDRoTrMzYjCuYuN2Pqn70nG\nw9eSyMvJvMlCtPLYWRtYlsFPrxFUK3d8dhodnU5cPzsBYcEaosy1ac0Ut83/msxYEm1+1TXjSBz0\n7W9EZ3r8MJRDDhSGYUhkWyVnfcqye0Mh53DNtFhMGGNFbHgQxsWbcfSsDeXV7mpsdY3tOHDiInRq\nOZJiTEiJD4ZRp8Q3R0q9ZqsamjugUclI1jAqRE9+pyzL9NrkH107HW9uuQY3zR/jtxl3o6ONJChk\n0iuJyqu3HjZP/bBZ6RFgGGD34dJ+/9/hM0J2kmWA3AKbVzVKcZZXz/WNcumQBjB9KYlUK2V44u6Z\nmJ7qeUai6LBZvPQkqpUy/OHBOdh610zMSItwC0aMizcjJkyP746X4+UPcgF4L5UVnTuFnMNDqyaT\nkmSlS2xEdNxEAaNrZ42CViXzKnAh41jcu2Ii7B1OlFQ2Q63koFXJYNQpoZBzOHKmCuXVLV4zWVEh\nepTZmklp4MrFY/He1qX4n/uvAssybkFXXzNsnhAzbLuPCOWkSbEm4rD2x9QUoUQ421UeDQg9bIKq\ndO/3lRBpgMWoRvapSuw7JgRqvNm917VRBhLgy0h2L00O0iowMSlkSGu2JziWQUp8MC7WtKCgpB5n\nL9RhXLx5SJ+3L4yNE/7HcDuGFAHqsAUgYkRouH+Ml4K7l0/A7T9KdVvANCo5LEZBVljMukmZ5Sor\nfPFvx3DoVCUirTqyQEoZPyoYXV08Tp2rJRm2wQwMHy5SEy1EqS88WAsZx5Io4oy0CBLhDNIqIONY\n4rDVNbbj71/lwxykwra7Z+G+FRORPtqKnPxq4tz4I5s63KSMCibBh5T4YExNCQPLdM/PyUqPxNob\n06BVy/HLH08gWUmRELMGk5JCUFjagLyiGsyaEIF5k/tWWBws4+LNWHfrJNxydVL/D74EiAdMlcK/\nG//iGULE+pNvz5Hb6hrbsfnlb1HfZMf1sxPAcSw4jsXyeaPR2u7Azq/y3Z4jJ9+Gx//ve1yobOp1\nyLvWFYTQqeW9Di0alXxIJdue0KjkiIswQCHnEKRTkjmKjV4ybEfPCL8fqcMWbFAjNcGCU+dqPc5m\nknL4VBVUCg4z0iLQ0NzhUYwBAE4Wu0aWxF3+AMAPFTHDplZygx4cLCUhyogHfjIRNy8YM+BrGYbB\n4ulxcDh57DpwHtGheqzy0uOUkRyKWRMisHrpWISYNRjncvqljlpmShiWz00kWeIX18/DA7dO8vr/\nZ6ZF4Jcu4Z5Qs6DEyzAM1t6YivlTorFkRpzXPu6YMD0cTh6fuDLzGckhpDwTcBdoGWj5thRxFpvo\nGK5eMs5nx2dcfDC0KhkOnqwgQRRbfRuCDSqPWXyGYZCZEoaWtk58uKcAMo7xWV2bYRisXjIWM9LC\nSZvDpSA1UVhL/vRxHngeg1Z+HAjxEQb89bHFGB1NHbZLwcgPw1N6EWHVEiWjK5Xf/mIavFUKRYcK\nkfrii41YODUGS2fGe1y4xydYsPPrAhw9U4XGFrub6tRIIC3Rgo/3CZtcmKu2PT7SgPMVTbhxTiJ5\nHMsysBhVRHTkvS/OoqPTiVtuGE8OxL+9fRryimrQ0GyHWilDhEWHi+cv8RsaICzLYG5GNN7/4iym\npoRCo5JjVJQRBSX1MAepkBhlBMsyePvRxV7HDtx4VSJy8m1YNC0Ov/hR6rCNJ2AYBnNc/QsjAXHI\nr0ru35jbzLRw/PljFT7eV4RZ6REINWmw+eVvUVrVjB9dlYBbFnYfRpfMiMOHewrx8b4iXD97FIIN\nahSU1uN3r+2Hw8kjLjwIKxa6H14zkkMRHxF0SYNND946CY0tHeBYxi3Ddqq4FrmFNiRGGZEca4ZC\nzuJ4YTWiQ/W9lOPmTIpCbkE19hwtxU3zPR/IK2paUGZrxtRxYchIDsW+nHLkFNg8ltudOlcLjmUw\nOmZ41Fkp/SOunTFhQX7LeAwlYDQ3Ixr/2lOEqFAd1t2a4TV4wbEMNvysu7dzUlIIcguqicPGMAwe\n+Xmm2zU9v8+euDozVii3lggfXZ0Zi6szPZeAiojBo5LKZkRYtL16MqWiU0MpJ7cY1VDIOdcc2JAB\njZ+QcSwmJYdi77EyXKhoQlSIDrUNbUQB1BOZKWH497fFaLML/28gwaTM8eFEDOtSMd4V0BRLsTNT\nht9ho1xaqMMWgAQb1Pif+7JGTLP6cBDXT0/Bo2tn9Psc4+LNYBngn675KX0ptl0OxidYwDAAz3fP\nY/mva1OwcGpMr8HMwQY1ThbX4MjpKuw6cA7hwVoslMzrknEsmVMXSCyfmwitSo5F0+MACL19BSX1\nyBwfRpzrvpywCWOseOfxJX6fizbSISWRCv86bHIZhwdvnYRHtn+HZ946BIWcI87az69LcTvYKuQc\nbr06Cc+/fwwv78zFXcvT8Ozbh+Fw8vjNzzMx1cOBgWMZPHPf7GFzrD0hFZQQ+34bmjvw9FvZpC9U\nq5LhmmlxsHc4e/XDAsD0tAi8tDMXn+0/B3unE1qVHBqVHHIZi45OJ5xdPIrLhREVk5JDkOY6TObm\nV+P6rAQAwhDdnHwbrs8ahcLSeoyKNPzgvrcjCbEKwZdyyEuBVi3HK5vmD9h5nJQcgj//+yQpiRwK\nnn6z/SGtbvGUURoVKWS4pVm3wcCyDKKsOhSVN3jNPvbFlHGCw3bwZAXUqih08Z4FR0TGJ1igUcnQ\n2u7AtNSRP+oiPkIYOt7S7kCkVec2N5dyZUB3iwCFpqD7R6OSY2JSCE4W12DR9HgyAHWkoNcoEBce\nhOLyRqKMaQ5SeRykG2JSI68I+O1r+wEAty5KHtBg3JGKRiXHsrnd2cS5GVE4fLoSi10OnC/8EA+9\n8eFBUCk4mPX+f+9piVbcsjAJ7/xHGAzryVkTmTc5moxnyD5Via4uHtdnjerz4Hc5+0hFAZTsU5Xo\n6HQiMyUM0aF6/GtPIT7YXQCgt4ARIJRyzUgLx56jZXjv87Nen59hhJKwELMG4cFanCisRlVdKy5W\nt+DR1w+gw9GFfTllcDh52r92mRkbZxbK/XwQrrhUDCbTF+cStPI0PuVSECMJiPTs2QKEYOLN80eT\n8v+hcOeyNFQ3tLkpJPpKRnIoWAbIPllJ1Kc9SfqLyGUsZqZFYO+xMkwLgGwVxzJIGWXBwZMVNLt2\nhfLDO+lQflD85ueZ6OLRay7OSGH53NH4Pq+i32HPtyxMgsWoRqejCya9CrPT/asyNVKIjzDgj+vn\nXe6XMeLRaYS+lMKzecPy/CsWJqGppQPBRjWWz030epDkOBZP3TMLH+0txntfnEGYWYufuaS8RyJy\nGQeVgkO7q6d11ZKxiA0LwuyJkdj252zYOx1ISfDcV/arWyZh2ZxEtLY70NLeidZ2BzodXVAqOHAM\nA3unA2aDmlQ+zEoXZkbe+eSXYFkGXbygWnnmvDAcnPavXV4Ucg6/usV7X1egwDAMHvjJ5XsfVqMa\nSgWHri7eqyjTioX+6f0dSpAjSKvA2PhgnCyuwQGXuq3VQ4+8lDuXpWHV4rFelT9HGjPSwnH4dKXf\nVSgpIwPqsFGuaDiOxciRGenNVZOicNWkqH4fF2HV4WdLRu5BmHLpCTVrUOrnHjYRjmWw1seB6nIZ\nh2VzE7F0VjwYjCxhH0/otQq0d7RhfEIwKZeMjzDg5Q3z0N7h9JoBlMtYJAwgsr9y0VhEhejx1icn\nUddkx8bVUzApKQTb3sxGXlE1mX9FoQQyLMtg5aKxYBiM+Dl+P1mYhEde+Y60SfQnNqOQcyN+PZMy\nb3I0Zk6I+EFWnfwQoFalUCgUypAZKSMz+kOvUcBW14YlM9xL4TiOhVbtPweYZRnMmxyNWRMi0NzW\nSUqdt9yWiTa7w2/zLCmUy82Prkq43C/BJyaMseKaabHYdUBQ5OqrJDIQYRiGOmtXMCOzToxCoVAo\nlGFg4hgrxsQYMf0SCQko5JxbXyrDMNRZo1AuEz+/LgUWgwos039JJIUykvhBuOLbtm1DTk4OGIbB\n5s2bkZrqeZ4IhUKhUK5s1lybcrlfAoVCuUxoVHI8ftdMlNuahzQXjkK5Pm52oQAACCFJREFU1Fzx\nDlt2djbOnz+Pd999F4WFhXj44Yfx7rvvXu6XRaFQKBQKhUK5xERadf0KfVEoI40rviRy//79WLBg\nAQAgISEBjY2NaGlpucyvikKhUCgUCoVCoVD654p32Kqrq2E2d0vBmkwmVFdXX8ZXRKFQKBQKhUKh\nUCi+ccWXRPaE53mfHnf48OFhfiUjgx/K+/yhQu175UNtfGVD7XvlQ218ZUPtS/EHV7zDFhIS4pZR\nq6qqgtVq7fOajIyM4X5ZFAqFQqFQKBQKhdIvV3xJ5MyZM7Fr1y4AQF5eHkJDQ6HRUClXCoVCoVAo\nFAqFMvK54jNsEydOREpKCm655RZwHIctW7Zc7pdEoVAoFAqFQqFQKD7B8L42dVEoFAqFQqFQKBQK\n5ZJyxZdEUigUCoVCoVAoFEqgQh02CoVCoVAoFAqFQhmhUIeNQqFQKBQKhUKhUEYoV7zoyJXI6dOn\nce+992LNmjX46U9/Sm7fu3cvbr/9dpw+fbrXNdu2bUNOTg4YhsHmzZuRmpqKiooKrF+/HjzPw2q1\n4umnn4ZcLvfLdZTB09O+mzZtwokTJ2AymQAAt912G6666iq3a6h9A4ueNnY4HNiwYQMuXLgAnU6H\n559/Hnq93u0aauPAoad977//ftTV1YHneTQ0NCA9PR2PPvqo2zXUvoFFTxtnZ2fj97//PWQyGTQa\nDZ555hn6Gw5getq3qKgIW7ZsAcMwiI+Px+9+9zuwrHvOg9o3sHj66adx5MgROJ1O3HHHHUhNTR02\nW/nFxjwloGhtbeXXrFnD//a3v+V37NhBbrfb7fzKlSv5rKysXtccPHiQX7t2Lc/zPF9QUMCvWLGC\n53me37hxI79r1y6e53n+ueee49955x2/XEcZPJ7su3HjRn737t1er6H2DSw82fjtt9/mt27dyvM8\nz7///vv8V1995XYNtXHg4G2NFtm0aROfm5vrdhu1b2DhycbLli3jz507x/M8z2/fvp1/9dVX3a6h\nNg4cPNn3rrvu4vfu3cvzPM+/+OKL/Mcff+x2DbVvYHHgwAH+9ttv53me5+vq6vg5c+bwGzdu5D/7\n7DOe5/1rK3/ZmJZEBhhKpRKvvPIKLBaL2+3bt2/HqlWr3LzzdevWoaOjA/v378eCBQsAAAkJCWhs\nbERzczMOHjyIuXPnAgDmzp2L7777bkjXUYaON/t6gto3MPFk46+//hrXXXcdAOCmm24inz+1ceDR\n12+4uLgYzc3NSE1NBUDtG6h4srHFYkFtbS0AoKGhgVREUBsHHp7se/78efK7nTFjBvbt2weA2jdQ\nmTJlCv7whz8AAIKCgtDa2ors7GzMmzcPgH9s5W8bU4ctwGBZFgqFwu224uJiFBQU4OqrrwYvmdLw\n7LPPQqFQoLq6GmazmdxuNptRXV2N9vZ24uAFBwfDZrMN6TrK0PFkXwDYsWMHVq9ejXXr1qG+vh4A\ntW+g4snGZWVl+Oabb7Bq1SqsW7cOjY2NAKiNAxFvv2EA+Mtf/oKVK1eSv6l9AxNPNt6wYQPuuece\nLF68GEePHsXy5csBUBsHIp7sO2bMGOzevRsAsH//ftTU1ACg9g1UWJaFWq0GAPz973/HnDlz0NbW\n5ldb+dvG1GG7AnjqqaewceNGnx/Pexi95+k2f11HGRo33HAD1q1bhzfffBNJSUl44YUX+nw8tW/g\nwfM8EhIS8NZbbyExMRHbt2/v9/G+3Oav6yhDp7OzE0eOHMHUqVP7fSy1b+Dx2GOP4Y9//CM+/fRT\nTJw4EX/961/7fDy1cWCxfv16fPzxx7jttttgt9v7/cypfQODL774Ajt37sRvfvMbt895OG012Ouo\nwxbgVFZWori4GA8++CBWrFgBm82GVatWuT0mJCQE1dXV5O+qqiqEhIRAo9Ggo6ODPE9ISIhfrqP4\nl2nTpiE5ORkAMH/+fJw9e9btfmrfwMdisWDKlCkAgFmzZqGwsNDtfmrjwCc7OxtpaWke76P2DXzO\nnDmD9PR0AELJ3PHjx93upzYObCIiIvDaa6/hjTfeQGJiIiIjI93up/YNPPbu3YtXX30Vr7/+OnQ6\nHbRa7bDYyl82pg5bgBMaGopdu3bh3XffxXvvvQer1Yq33nrL7TEzZ87Erl27AAB5eXnkizJ9+nRy\n+65du5CVleWX6yj+5b777sOZM2cACIe+MWPGuN1P7Rv4zJ49G3v27AEg2CI+Pt7tfmrjwOf48eMk\n8NITat/Ax2q1kkDL8ePHERMT43Y/tXFg88ILL5A1+sMPPyS9RyLUvoFFc3MznnnmGWzfvp2ouQ6X\nrfxlY4anudaAIicnB4888ghqa2vBcRwMBgN27NgBg8EAQMjAfPnllwCABx98EE8++SQUCgWee+45\nHDx4EBzHYcuWLUhKSoLNZsOGDRvQ0dGBiIgIbNu2DRzHDfo6ytDxZN/77rsPL7/8MrRaLbRaLZ54\n4gmYzWZq3wDFk43feOMNbN26FTabDVqtFk899RS1cYDibY1+4YUXkJGRgcWLF5PHUvsGJp5s/Oij\njxJZbqPRiCeeeAI6nY7aOADxZN+tW7fi8ccfh8PhQGZmJjZs2ACA/oYDlffffx8vvvgi4uLiwPM8\nGIbBU089hYcffthvtvK3janDRqFQKBQKhUKhUCgjFFoSSaFQKBQKhUKhUCgjFOqwUSgUCoVCoVAo\nFMoIhTpsFAqFQqFQKBQKhTJCoQ4bhUKhUCgUCoVCoYxQqMNGoVAoFAqFQqFQKCMU6rBRKBQKhUKh\nUCgUygiFOmwUCoVCoVAoFAqFMkL5f36OidSeOvcAAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(data['volume']['2015-6-4'])\n", "plt.ylabel('Volume (USD)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is pretty noisy, but with pandas we can easily take an average across all the days in our sample to get a sense of how volume fluctuates on average. Here is the average volume for a given minute over the whole time period." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "avg_minute_volume = data.groupby([data.index.hour, data.index.minute]).mean()['volume']" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAHiCAYAAAD1UW2SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xt8VPW59/3vzCSZHCZnCMpJOWioaBBSi0A5KmzLY231\nDrQSsRa7bWsL1kZvjyh0Py8OUh7qvgutFC2yka1U6t7iLYdtUUSOGhClCnIQMQIJk5DzJJPJrOeP\nyQwZQpIhs0Im4fP+p2StNZPfsNI2X65rXT+LYRiGAAAAAABhs3b0AgAAAACgqyBgAQAAAIBJCFgA\nAAAAYBICFgAAAACYhIAFAAAAACYhYAEAAACASaLa+xs899xz2rt3r+rr6/XAAw9oy5YtOnDggFJT\nUyVJ999/v8aOHas333xTq1atks1m05QpU5STkyOPx6PHH39cJ0+elM1m0/z589W7d28dPHhQc+bM\nkdVqVWZmpp599llJ0ooVK7Rp0yZZrVY9+OCDGjt2rCorK5WXl6eKigolJCRo8eLFSkpKau+PDQAA\nAOAyZGnPfbB2796tF198UcuXL1dpaanuvPNO3Xzzzbrttts0duzYwHUul0t33nmn1q1bp6ioKOXk\n5OiVV17Rli1b9Omnn2r27Nnavn27Xn/9dS1ZskT33nuvHnvsMQ0ePFh5eXn64Q9/qH79+umhhx7S\n2rVrVVZWptzcXL399ttaunSp4uPjNWPGDK1du1YnTpzQI4880l4fGQAAAMBlrF1bBG+66SY9//zz\nkqSkpCRVV1fL6/Xq/Ey3f/9+ZWVlKSEhQXa7XcOGDVN+fr527typW2+9VZI0cuRI7du3T3V1dSoo\nKNDgwYMlSRMmTNCOHTu0e/dujRkzRjabTWlpaerVq5cOHz6sXbt2aeLEiZKk8ePHa8eOHe35kQEA\nAABcxto1YFmtVsXFxUmS/va3v2ncuHGyWq1avXq1fvKTnygvL09nz56V0+lUWlpa4HVpaWk6c+ZM\n0HGLxSKLxSKn06mUlJSga4uKilRcXBz0Hunp6YH38Lcjpqeny+l0tudHBgAAAHAZa/dnsCTpnXfe\n0d///ne9+OKLOnDggFJSUjRo0CAtX75cf/zjHzV06NCg65vrWjQMQxaLpdnzjXm93gu+PhT5+fkh\nXQcAAADg8pWdnd3kWLsHrG3btmn58uV68cUX5XA4dPPNNwfO3XLLLZozZ45uu+02vfvuu4HjhYWF\nGjp0qDIyMuR0OpWZmSmPxyPDMNS9e3eVlpYGXdujRw9lZGTo2LFjFzzudDrlcDhUWFiojIyMkNZ9\nob8sdIz8/HzuRwThfkQe7klk4X5EHu5JZOF+RBbuR9s1V5Rp1xbByspKLVq0SH/+85+VmJgoSZo1\na5YOHTokSdqzZ4+uvfZaZWVl6cCBA6qsrFRVVZX27dun7OxsjRo1Shs3bpQkbdmyRcOHD5fNZlP/\n/v21d+9eSdLmzZs1evRoDR8+XFu3bpXH41FhYaGKioo0cOBAjRo1Shs2bAi6FgAAAADaQ7tWsN5+\n+22VlpbqN7/5TaC976677tITTzyhhIQEJSQkaN68ebLb7crLy9OMGTNktVo1c+ZMORwOTZ48Wdu3\nb9e0adNkt9u1YMECSdKTTz6pZ555RoZhaMiQIRoxYoQkaerUqcrNzZXFYtHcuXMlSdOnT9ejjz6q\n3NxcJSUladGiRe35kQEAAABcxtp1THtnRak0snA/Igv3I/JwTyIL9yPycE8iC/cjsnA/2q65v7t2\nbREEAAAAgMsJAQsAAAAATELAAgAAAACTELAAAAAAwCQELAAAAAAwCQELAAAAAExCwAIAAAAAkxCw\nAAAAAMAkBCwAAAAAMAkBCwAAAABMQsACAAAAAJMQsAAAAADAJAQsAAAAADAJAQsAAAAATELAAgAA\nAACTELAAAAAAwCQELAAAAAAwCQELAAAAAExCwAIAAAAAkxCwAAAAAMAkBCwAAAAAMAkBCwAAAABM\nQsACAAAAgBDVebya+ft3mz1PwAIAAACAEJVV1ur4qfJmzxOwAAAAACBEXsNo8TwBCwAAAABC1Eq+\nImABAAAAQKgMKlgAAAAAYA5aBAEAAADAJLQIAgAAAIBJvF4qWAAAAABgCp7BAgAAAACT0CIIAAAA\nACZhyAUAAAAAmIQKFgAAAACYhAoWAAAAAJiEIRcAAAAAYBJaBAEAAADAJLQIAgAAAIBJDG/L5wlY\nAAAAABAiKlgAAAAAYBKGXAAAAACASRhyAQAAAAAmoUUQAAAAAExCiyAAAAAAmMRLiyAAAAAAmIMK\nFgAAAACYhCEXAAAAAGAShlwAAAAAgEmMVh7CImABAAAAQIgYcgEAAAAAJmHIBQAAAACYhCEXAAAA\nAGAShlwAAAAAgEloEQQAAAAAkzDkAgAAAABMQgULAAAAAExCwAIAAAAAk3i9LZ8nYAEAAABAiKhg\nAQAAAIBJGHIBAAAAACahggUAAAAAJiFgAQAAAIBJaBEEAAAAAJNQwQIAAAAAk3gJWAAAAABgjlby\nFQELAAAAAEJFiyAAAAAAmMTrbfk8AQsAAAAAQkQFCwAAAABMwpALAAAAADAJQy4AAAAAwCS0CAIA\nAACASbxUsAAAAADAHFSwAAAAAMAkDLkAAAAAAJMw5AIAAAAATEKLIAAAAACYxNvKlAsCFgAAAACE\niBZBAAAAADBJa0Muotp7Ac8995z27t2r+vp6PfDAA7rhhhv06KOPyjAMde/eXc8995yio6P15ptv\natWqVbLZbJoyZYpycnLk8Xj0+OOP6+TJk7LZbJo/f7569+6tgwcPas6cObJarcrMzNSzzz4rSVqx\nYoU2bdokq9WqBx98UGPHjlVlZaXy8vJUUVGhhIQELV68WElJSe39sQEAAAB0QR1awdq9e7eOHDmi\nV199VX/5y180b948Pf/887rnnnu0evVq9e3bV+vWrZPL5dKyZcv08ssva9WqVXr55ZdVXl6ut956\nS8nJyVqzZo1+8YtfaPHixZKkefPmafbs2VqzZo3Ky8u1bds2FRQUaMOGDXr11Vf1pz/9SQsWLJBh\nGFq5cqWGDx+uNWvWaOLEiVq+fHl7fmQAAAAAXViHDrm46aab9Pzzz0uSkpKSVF1drQ8//FATJkyQ\nJI0fP147duzQ/v37lZWVpYSEBNntdg0bNkz5+fnauXOnbr31VknSyJEjtW/fPtXV1amgoECDBw+W\nJE2YMEE7duzQ7t27NWbMGNlsNqWlpalXr146fPiwdu3apYkTJwZ9PwAAAABoiw7dB8tqtSouLk6S\n9Prrr2vcuHFyuVyKjo6WJKWnp6uoqEjFxcVKS0sLvC4tLU1nzpyR0+kMHLdYLLJYLHI6nUpJSQm6\n9kLvkZ6eHniP1NTUwDGn09meHxkAAABAFxYRQy7eeecdrVu3TrNnzw4qqTVXXmvpuMViabUsJ0le\nrzfk9wUAAACAUHT4kItt27Zp+fLlevHFF+VwOJSQkCC3262YmBgVFhaqR48eysjI0JkzZwKvKSws\n1NChQ5WRkSGn06nMzEx5PJ7AYIzS0tKga/3vcezYsQsedzqdcjgcKiwsVEZGRkjrzs/PN+8vAWHj\nfkQW7kfk4Z5EFu5H5OGeRBbuR2ThflycoqKzLZ5v14BVWVmpRYsWaeXKlUpMTJQkjRgxQps2bdL3\nv/99bdq0SaNHj1ZWVpaefvppVVZWymKxaN++fXrqqadUUVGhjRs3atSoUdqyZYuGDx8um82m/v37\na+/evRo2bJg2b96s6dOn6+qrr9Zf//pXzZo1S8XFxSoqKtLAgQM1atQobdiwQb/85S+1efNmjR49\nOqS1Z2dnt+dfDS5Cfn4+9yOCcD8iD/cksnA/Ig/3JLJwPyIL9+Pi7Tz2sXSkqtnz7Rqw3n77bZWW\nluo3v/lNoL1v4cKFeuqpp/Taa6+pZ8+euvPOO2Wz2ZSXl6cZM2bIarVq5syZcjgcmjx5srZv365p\n06bJbrdrwYIFkqQnn3xSzzzzjAzD0JAhQzRixAhJ0tSpU5WbmyuLxaK5c+dKkqZPn65HH31Uubm5\nSkpK0qJFi9rzIwMAAADowrzeDmwRnDp1qqZOndrk+EsvvdTk2KRJkzRp0qSgY1arVfPnz29y7YAB\nA/TKK680OZ6bm6vc3NygY/Hx8Vq6dOnFLh0AAAAAmoiIIRcAAAAA0BV06Jh2AAAAAOhKOnSjYQAA\nAADoSmgRBAAAAACT0CIIAAAAACahggUAAAAAJqGCBQAAAAAmYcgFAAAAAJiEFkEAAAAAMInXSwUL\nAAAAAExBBQsAAAAATMKQCwAAAAAwCUMuAAAAAMAktAgCAAAAgEloEQQAAAAAk9AiCAAAAAAmoUUQ\nAAAAAExCiyAAAAAAmMQwJIul+fMELAAAAAAIkddryNJCwiJgAQAAAECIDMOQlQoWAAAAAITP1yJI\nBQsAAAAAwuY1aBEEAAAAAFPQIggAAAAAJvHSIggAAAAA5qCCBQAAAAAmYcgFAAAAAJiEIRcAAAAA\nYBLDMGRtIUURsAAAAAAgRF4vLYIAAAAAYAqGXAAAAACASRhyAQAAAAAmYcgFAAAAAJiEFkEAAAAA\nMImXFkEAAAAAMIevgkXAAgAAAICwGYahFvIVAQsAAAAAQkWLIAAAAACYxDAMWVtIUQQsAAAAAAiR\n10sFCwAAAABMwZALAAAAADAJQy4AAAAAwCRew6BFEAAAAADM4DUkKxUsAAAAAAif4aWCBQAAAACm\n8FWwCFgAAAAAEDaGXAAAAACASQyGXAAAAACAObyGZG1hygUBCwAAAABCYBiGJNEiCAAAAADh8vry\nFUMuAAAAACBcVLAAAAAAwCTnAhYVLAAAAAAICy2CAAAAAGASw0uLIAAAAACYwkuLIAAAAACYw6BF\nEAAAAADMwRRBAAAAADBJYMiFlQoWAAAAAISFChYAAAAAmIQhFwAAAABgEoZcAAAAAIBJaBEEAAAA\nAJN4vb7/pIIFAAAAAGGiggUAAAAAJmHIBQAAAACYhCEXAAAAAGASWgQBAAAAwCT+FkGrlQoWAAAA\nAITF3yLIM1gAAAAAECYvLYIAAAAAYA6GXAAAAACASRhyAQAAAAAm8XobhlxQwQIAAACA8DDkAgAA\nAABMwpALAAAAADCJ/xksWgQBAAAAIEznWgSbv4aABQAAAAAh8LcIWq1UsAAAAAAgLAy5AAAAAACT\nMOQCAAAAAEziH3JhayFhRbX3Ig4ePKiZM2fqvvvuU25urp544gkdOHBAqampkqT7779fY8eO1Ztv\nvqlVq1bJZrNpypQpysnJkcfj0eOPP66TJ0/KZrNp/vz56t27tw4ePKg5c+bIarUqMzNTzz77rCRp\nxYoV2rRpk6xWqx588EGNHTtWlZWVysvLU0VFhRISErR48WIlJSW198cGAAAA0MUYXt9/Wlp4Bqtd\nA5bL5dLChQs1atSooOOPPPKIxo4dG3TdsmXLtG7dOkVFRSknJ0eTJk3Sli1blJycrN///vfavn27\nFi9erCVLlmjevHmaPXu2Bg8erLy8PG3btk39+vXThg0btHbtWpWVlSk3N1djxozRypUrNXz4cM2Y\nMUNr167V8uXL9cgjj7TnxwYAAADQBXV4i6DdbtcLL7ygbt26tXjd/v37lZWVpYSEBNntdg0bNkz5\n+fnauXOnbr31VknSyJEjtW/fPtXV1amgoECDBw+WJE2YMEE7duzQ7t27NWbMGNlsNqWlpalXr146\nfPiwdu3apYkTJ0qSxo8frx07drTnRwYAAADQRfmHXHTYPlhWq1UxMTFNjq9evVo/+clPlJeXp7Nn\nz8rpdCotLS1wPi0tTWfOnAk6brFYZLFY5HQ6lZKSEnRtUVGRiouLg94jPT098B7+dsT09HQ5nc72\n+rgAAAAAurBzFawOfAbrfD/4wQ+UkpKiQYMGafny5frjH/+ooUOHBl3jf3jsfIZhyGKxNHu+Ma/X\ne8HXhyo/Pz/ka9H+uB+RhfsRebgnkYX7EXm4J5GF+xFZuB+hO/yNS5J08ptv1C858YLXXPKAdfPN\nNwf+fMstt2jOnDm67bbb9O677waOFxYWaujQocrIyJDT6VRmZqY8Ho8Mw1D37t1VWloadG2PHj2U\nkZGhY8eOXfC40+mUw+FQYWGhMjIyQlpndna2CZ8WZsjPz+d+RBDuR+ThnkQW7kfk4Z5EFu5HZOF+\nXJz62NPS1mL16dNbUtkFr7nkY9pnzZqlQ4cOSZL27Nmja6+9VllZWTpw4IAqKytVVVWlffv2KTs7\nW6NGjdLGjRslSVu2bNHw4cNls9nUv39/7d27V5K0efNmjR49WsOHD9fWrVvl8XhUWFiooqIiDRw4\nUKNGjdKGDRuCrgUAAACAi9XhLYL79+/X008/rZKSEtlsNr366quaNWuWnnjiCSUkJCghIUHz5s2T\n3W5XXl6eZsyYIavVqpkzZ8rhcGjy5Mnavn27pk2bJrvdrgULFkiSnnzyST3zzDMyDENDhgzRiBEj\nJElTp05Vbm6uLBaL5s6dK0maPn26Hn30UeXm5iopKUmLFi1qz48MAAAAoIvyP3LUwpT29g1YQ4YM\n0fr165sc90/1a2zSpEmaNGlS0DGr1ar58+c3uXbAgAF65ZVXmhzPzc1Vbm5u0LH4+HgtXbr0YpcO\nAAAAAEG8DSMdWqpgXfIWQQAAAADojEKpYBGwAAAAACAERsOgcksLCYuABQAAAAAhCGXIBQELAAAA\nAEJAiyAAAAAAmIQhFwAAAABgElPGtHu9Xh04cEAFBQWSpN69e+v666+X1Uo2AwAAAHD5MMLZaNjr\n9erFF1/UypUr1bNnT1155ZWSpJMnT+r06dO67777AhsDAwAAAEBXF0qLYLMB64EHHtDgwYP11ltv\nKTU1Nejc2bNntXLlSv385z/XX/7yF3NWCwAAAAARLKwWwVmzZikrK+uC51JTU/Xwww/rk08+CW+F\nAAAAANBJBFWwjAtf02zAysrK0oEDB7RixQodPnxYVqtV119/vX7605/q2muvDVwDAAAAAJeDcxWs\n5gNWsw9QffTRR5o5c6ZGjRqlP/zhD5o7d6769++vn/3sZ8rPz2+XBQMAAABApDIaSliWFsZQNFvB\neuGFF7R06VJdd911gWPDhg3TzTffrIULF2r16tXmrRQAAAAAIlxY+2C5XK6gcOV3ww03qLq6OvzV\nAQAAAEAnEsqQi2YDVkvj1x0OR9tXBQAAAACdUFhj2ouKivT6669f8NyZM2fCWxkAAAAAdDJBQy6a\n0WzAGjp0aLPDLG688cYwlwYAAAAAnYs/YLWQr5oPWPPnzzd9QQAAAADQWYU15OL06dOaN29e4Osl\nS5bo29/+tu666y4dP37ctEUCAAAAQGcQSotgswFr9uzZ6tu3ryTps88+0+uvv65169bpt7/9LdUt\nAAAAAJcdbwgtgs0GrIqKCt1zzz2SpM2bN2vy5Mm66qqr9N3vflc1NTXmrhQAAAAAIlxDvmpbBctu\ntwf+vGfPHt18882Br71erwnLAwAAAIDOw2h4CMvS/I5WzQ+5sFgsOnjwoCoqKvTFF19o5MiRkqTC\nwkK53W5zVwoAAAAAES6sfbB++9vf6qGHHlJZWZlmz56tuLg41dTUaMqUKXriiSdMXywAAAAARLKw\n9sHKysrSpk2bgo7FxsZq5cqV6t+/v0lLBAAAAIDOIZQhF80GrA8//DDoa4vFIofDoczMTHNWBwAA\nAACdSChDLpoNWEuWLGlyrLi4WHFxcVq2bJl69uwZ/goBAAAAoJMwwqlgrVmz5oLH33vvPS1YsED/\n/u//Ht7qAAAAAKATCWXIRQsDBi9s3LhxKi0tbfOiAAAAAKAzCmXIxUUHLEnyeDxtWxEAAAAAdFJh\nDbm40GbCpaWlWrt2rQYMGBD+6gAAAACgEwkMubC2YcjFdddd16S3MD4+Xv/yL/+ip556ypwVAgAA\nAEAnYXj9Faw2BKyDBw+avyIAAAAA6KRCaRFs9hmsWbNmqby8vNkXlpWVadasWW1fHQAAAAB0ImHt\ng3X33XdrypQpGj16tEaPHq0rr7xSknTq1Clt27ZN27Zt09y5c81dMQAAAABEqLCGXIwYMUJvvPGG\n1q5dq1WrVun06dOSpCuuuEKjR4/WG2+8ofj4eHNXDAAAAAARKqwKluQbanHffffpvvvuM3NdAAAA\nANDpGEbrQy7atA8WAAAAAFxuwhpyAQAAAAA4J5QWQQIWAAAAAITAa0aL4MGDB3XXXXfptttukyQt\nXbpU+/fvN2mJAAAAANA5GF7ff1pbSFGtBqzf/e53mjdvnrp37y5Jmjx5subPn2/KAgEAAACgszBl\nyEVUVJQGDRoU+Lpfv36Kimpx+CAAAAAAdDmmDLmIiorS119/HUhpW7duDSQ3AAAAALhchL0PliQ9\n9thjevDBB/Xll18qOztbvXr10sKFC01bJAAAAAB0BqEMuWg1YGVmZmr9+vUqKSlRTEyMHA6HeSsE\nAAAAgE7C38lnbaFFsNWAdejQIf39739XRUVFUGsggy4AAAAAXE78cSisCtZDDz2k22+/XQMHDjRt\nYQAAAADQ2YQy5KLVgNWrVy/9+te/Nm1RAAAAANAZmTLk4o477tCyZcs0dOjQoPHsN910U/grBAAA\nAIBOIlDBauEhrFYD1vr16/Xll1/qgw8+CByzWCx65ZVXTFgiAAAAAHQOhteEIRclJSX6xz/+Ydqi\nAAAAAKAzCmXIRasbDd900006ceKEaYsCAAAAgM7IlH2wtm/frtWrVys1NVVRUVEyDEMWi0Xvvfee\naQsFAAAAgEh3bshF89e0GrBeeOEFs9YDAAAAAJ2WKRWsnTt3XvB4Tk5OG5cFAAAAAJ2PYRgtVq+k\nEAJWfn5+4M9ut1uffPKJhg0bRsACAAAAcFkxjJarV1IIAWv+/PlBX7tcLj3xxBPhrQwAAAAAOhlv\nwzyKlrQ6RfB8cXFxTBUEAAAAcNkxpUVw2rRpQSmtsLBQmZmZYS8OAAAAADoTryFZWklYrQas3/zm\nN4E/WywWORwODRo0KPzVAQAAAEAnElYFq7npgaWlpdq1a5dGjBgR1uIAAAAAoDMxvGEMuVi2bFmz\nL7JYLAQsAAAAAJeVUIZcNBuw/uM//sP0BQEAAABAZxVKi2CrUwSPHj2qe++9V8OGDVN2drbuv/9+\npggCAAAAuOx4Q9gHq9WA9W//9m+aMWOGPvjgA73//vv68Y9/rGeffda0RQIAAABAZ+CrYIUZsAzD\n0Lhx4xQfH6+EhARNnDhR9fX1pi0SAAAAADoDwzDUSr5qPWDV1dXpn//8Z+DrTz75hIAFAAAA4LIT\nSotgq/tgPfbYY8rLy1NJSYkkqXv37lq4cKE5KwQAAACATiKsfbAKCwvVo0cPDRkyRBs3blRFRUVg\no2EAAAAAuNx4DcnSSsJqtkXw+9//vh544AFt3rxZHo9HiYmJhCsAAAAAly0jhH2wmg1Y27Zt0x13\n3KG1a9dq3LhxWrhwoY4ePWr6IgEAAACgMzC8YbQI2u123X777br99ttVVFSk9evX6+GHH1Z8fLxy\ncnKUk5Nj9noBAAAAIGKZsg+WJGVkZOj+++/XkiVL1KtXL/3ud78zZYEAAAAA0FmENeTCr6ysTG+9\n9ZbeeOMNud1u5eTk6OmnnzZrjQAAAADQKRjhjGnfsmWL3njjDeXn52vixIl65plnlJWVZfoiAQAA\nAKAz8IYw5KLZgPXSSy8pJydHixYtUmxsrOmLAwAAAIDOJKwWwdWrV5u9HgAAAADotEwbcgEAAAAA\nlztfBYuABQAAAABhMwxDllYSVLsHrIMHD2rixIl65ZVXJEmnT5/W9OnTdc899+jhhx9WXV2dJOnN\nN99UTk6OfvSjH+n111+XJHk8Hj3yyCOaNm2apk+froKCgsB7/vjHP9a0adM0d+7cwPdasWKFpkyZ\noh/96EfaunWrJKmyslI///nPNW3aNP3rv/6rysvL2/sjAwAAAOiCOrxF0OVyaeHChRo1alTg2PPP\nP6/p06dr9erV6tu3r9atWyeXy6Vly5bp5Zdf1qpVq/Tyyy+rvLxcb731lpKTk7VmzRr94he/0OLF\niyVJ8+bN0+zZs7VmzRqVl5dr27ZtKigo0IYNG/Tqq6/qT3/6kxYsWCDDMLRy5UoNHz5ca9as0cSJ\nE7V8+fL2/MgAAAAAuijD2/qQi3YNWHa7XS+88IK6desWOLZnzx6NHz9ekjR+/Hjt2LFD+/fvV1ZW\nlhISEmS32zVs2DDl5+dr586duvXWWyVJI0eO1L59+1RXV6eCggINHjxYkjRhwgTt2LFDu3fv1pgx\nY2Sz2ZSWlqZevXrp8OHD2rVrlyZOnBj0/QAAAADgYoVSwWp1o+FwWK1WxcTEBB1zuVyKjo6WJKWn\np6uoqEjFxcVKS0sLXJOWlqYzZ87I6XQGjlssFlksFjmdTqWkpARdW1RUpNTU1KD3SE9PD7xHampq\n4JjT6Wy3zwsAAACg6wplyEW7BqzWGIZx0cctFkuz5xvzer0hv++F5Ofnh3wt2h/3I7JwPyIP9ySy\ncD8iD/cksnA/Igv3I3Rew1BVVWWLf2eXPGAlJCTI7XYrJiZGhYWF6tGjhzIyMnTmzJnANYWFhRo6\ndKgyMjLkdDqVmZkpj8cjwzDUvXt3lZaWBl3rf49jx45d8LjT6ZTD4VBhYaEyMjJCWmd2drZ5Hxph\nyc/P535EEO5H5OGeRBbuR+ThnkQW7kdk4X5cHGNNgRITE5Wdnd1syLrkY9pHjBihTZs2SZI2bdqk\n0aNHKysrSwcOHFBlZaWqqqq0b98+ZWdna9SoUdq4caMkacuWLRo+fLhsNpv69++vvXv3SpI2b96s\n0aNHa/jw4dq6das8Ho8KCwtVVFSkgQMHatSoUdqwYUPQtQAAAABwMfzdcB3aIrh//349/fTTKikp\nkc1m06uvvqoXX3xRjz/+uF577TX17NlTd955p2w2m/Ly8jRjxgxZrVbNnDlTDodDkydP1vbt2zVt\n2jTZ7XYtWLBAkvTkk0/qmWeekWEYGjJkiEaMGCFJmjp1qnJzc2WxWALj26dPn65HH31Uubm5SkpK\n0qJFi9p/kA2GAAAgAElEQVTzIwMAAADogrwNTxu1kq/aN2ANGTJE69evb3L8pZdeanJs0qRJmjRp\nUtAxq9Wq+fPnN7l2wIABgX21GsvNzVVubm7Qsfj4eC1duvRilw4AAAAAAV5vaBWsS94iCAAAAACd\njb9FsLUKFgELAAAAAFrh9QesVnYaJmABAAAAQCv8Oz7RIggAAAAAYaJFEAAAAABM4qWCBQAAAADm\noIIFAAAAACbxj2m3UMECAAAAgPAw5AIAAAAATEKLIAAAAACYxL8PFhUsAAAAAAiTv0WQZ7AAAAAA\nIEyeeq8kKSqKgAUAAAAAYamtq5ckxUTbWryOgNWM+oaECgAAAAC1bl/AshOw2safUAEAAADAXUfA\nCkudhwoWAAAAAB9/AcYeQ8BqEypYAAAAAPzcPIMVHjcBCwAAAECD2jpfhxsBq43cdbQIAgAAAPBh\nyEWYqGABAAAA8GPIRZh4BgsAAACAH0MuwkQFCwAAAIDfuSEXLUcoAlYzeAYLAAAAgB8tgmFye6hg\nAQAAAPDxD7lgimAb0SIIAAAAwK+WClZ4GHIBAAAAwI8hF2HiGSwAAAAAfueGXBCw2oQWQQAAAAB+\n/gIMLYJtRMACAAAA4FdbVy+LRYqOYkx7m/AMFgAAAAC/2rp6RUfZZLFYWryOgNUMnsECAAAA4Ffr\nrm+1PVAiYDWLfbAAAAAA+Lnr6mWPbj0+EbCawTNYAAAAAPxq6+pbHdEuEbCaRYsgAAAAAD93XX2r\nI9olAlazqGABAAAA8CNghYkpggAAAAAkqb7eK0+9wZCLcFDBAgAAACCdK75QwQoDAQsAAACAdC5g\nMeQiDLUMuQAAAACgcwPwaBEMQx37YAEAAADQue42AlYYaBEEAAAAIEm1bp7BChstggAAAACkxkMu\nWo9PBKxmeL2GPPWELAAAAOByx5ALk9AmCAAAAIBnsEzCZsMAAAAA/M9gEbDC5OY5LAAAAOCy52aj\nYXPQIggAAACAgGUSAhYAAAAAhlyYhBZBAAAAAP4tnOxRBKywUMECAAAAUOv2SKKCFbZaDwELAAAA\nuNy5Pb4KFs9ghYkKFgAAAAA3z2CZg4AFAAAAwL8PVgzPYIWnliEXAAAAwGWvNjCmvfX4RMBqgT+p\nAgAAALh8MabdJDs+OSnDMDp6GQAAAAA6UGCjYVoE22744Cv0+fES7T1U1ORcSXmNfrnwH/r4i6bn\nAAAAAHQt7rp6xURZZbVaWr2WgNWM3NsGSZJWb/i8SRXr0FclKiiq1MdfnOmIpQEAAAC4hGrd9SGN\naJcIWM3q1zNZo2/spSMFZfrws8Kgc+VVbklSpauuI5YGAAAA4BJy13kJWGb4l+FXSZIOnTgbdLys\n0hewKqrdl3xNAAAAAC6t2jpPSAMuJAJWi9KSYyVJZZW1QccDFaxqKlgAAABAV1db55WdClb4UhLt\nkqTSiuCAVVbl+5oKFgAAAND1vLPnhE46KwNf17rrCVhmcMRFy2a1NAlY5YEWQSpYAAAAQFdyurhK\nz7+2T6/9zxeSpHqvIU89z2CZwmKxKNlhV2mTFkHf15VUsAAAAIAuxd+l5ix1SZLq/HtgRYcWnQhY\nrUhJbBqwyhqewapx16vO4+2IZQEAAABoB9U1HknS2YoaSVJtQ8BiyIVJUhLtqnXXy1XrCRzzTxGU\npEoXVSwAAACgq6iu8T0GVFLuK7L4c0BsTFRIrydgtSLF4Rt04Z8kWOP2yN2QYiUmCQIAAABdib+C\nVeWqk7uuXsVlvkpWWlJsSK8nYLXCH7D8gy7KK4MrVkwSBAAAALoOf8CSpLMVtTrT8CxW99S4kF5P\nwGqFf1T7WX/Aanj+ymrxnaeCBQAAAHQd1bXnfr8/W16jM2erJUndUghYpkg+r0XQvwdWRlq8JCpY\nAAAAQFfialTBKimvCUwT7E7AMkdgs2F/wGpoEezV3SGJvbAAAACArqSqcYtgec25FkECljlSE897\nBquhRbBXhi9gsRcWAAAA0HX4pwhKUklFrZylLsXZbUqIiw7p9QSsVvhbBP0VLP8mw+cqWAQsAAAA\noKuoPr+CddalbilxslgsIb2egNWK5IQYWSwXqGB191ewaBEEAAAAuorG+9+edFap0lWn7inxIb8+\ntN2yLmM2m1WJ8TGBgOUfdhEIWC4CFgAAANBVVLnqlBAbpXqvoSMFpZJCnyAoUcEKSbLDfm6KYKVb\nVotvo7GYKCstggAAAEAXUl3rUVxstFKTYlXrrpcU+h5YEgErJKmJdlW66lTn8aq8yq3EhBhZrRY5\n4mNoEQQAAAA6WE2tR16vYcp7uWrqFB8bpbSk2MCxUCcISgSskKQ02gurvKpWSQkxkqTE+GgqWAAA\nAEAHOnPWpbtnb9Cm3V+F/V6GYai6xqN4e1RgmrhEi6Dpkhv+ckvKa1RRXaekBN/XjvgYVdXUqd6k\ntAwAAADg4pw8UylPvVdHG56XCofb41W911B8bHRwBYsWQXP5K1hfF1ZIkpId5ypYhhE8Kx8AAADA\npVPdMPXPP5QurPdqGGAXHxul1EYBq1ty6AHrkk8R3LNnjx566CFdc801MgxDmZmZ+tnPfqZHH31U\nhmGoe/fueu655xQdHa0333xTq1atks1m05QpU5STkyOPx6PHH39cJ0+elM1m0/z589W7d28dPHhQ\nc+bMkdVqVWZmpp599llJ0ooVK7Rp0yZZrVY9+OCDGjt27EWvOaWhgnXoq7OSFKhgJcb7glZFtTvw\nZwAAAACXjn+sun8oXTj8Yc1XwfL9zp/isCsm2hbye3TImPbvfOc7ev755wNfP/HEE5o+fbomTZqk\nJUuWaN26dfrBD36gZcuWad26dYqKilJOTo4mTZqkLVu2KDk5Wb///e+1fft2LV68WEuWLNG8efM0\ne/ZsDR48WHl5edq2bZv69eunDRs2aO3atSorK1Nubq7GjBkT8iZhfv7y4IadxyX59saSFNjNmUEX\nAAAAQMdwNXSTlVWGPxvB35kWHxul1ERfBuiWEtvSS5rokBZBwwh+ZmnPnj0aP368JGn8+PHasWOH\n9u/fr6ysLCUkJMhut2vYsGHKz8/Xzp07deutt0qSRo4cqX379qmurk4FBQUaPHiwJGnChAnasWOH\ndu/erTFjxshmsyktLU29evXSkSNHLnq9Q67pptzbBumWm/rou0N6auyw3pLOVbAIWAAAAEDH8Fed\nyqpMqGDVNFSw7OdaBLunhr7JsNRBFayjR4/qwQcfVFlZmX71q1+ppqZG0dG+alB6erqKiopUXFys\ntLS0wGvS0tJ05swZOZ3OwHGLxSKLxSKn06mUlJSga4uKipSamnrB97jmmmsuar3RUTb9eGJmk+OJ\n8b41M0kQAAAA6Bj+FsHqGo/cdfUX1c53vkDAiotWnx6Jmvidvvrujb0u6j0uecC66qqr9Otf/1rf\n+9739PXXX+vee++Vx+MJnD+/uhXKcYvF0uz5UN6jrRyBChYBCwAAAOgI/oAl+doEL2bi3/kCLYL2\nKNmsFs360dCLfo9LHrB69Oih733ve5KkPn36qFu3bjpw4IDcbrdiYmJUWFioHj16KCMjQ2fOnAm8\nrrCwUEOHDlVGRoacTqcyMzPl8XgCgzFKS0uDrvW/x7Fjx4KOZ2RkhLTO/Pz8Vq8pLKyRJO355Jiu\niDvb5HyFq14v/+OMbhmSrG/1afuNRmj3A5cO9yPycE8iC/cj8nBPIgv3I7J09vtRcLIk8OddH32s\nnmltHz536HClJOnUyRPKz3e26T0uecBav369vvrqK/36179WcXGxiouLddddd2njxo264447tGnT\nJo0ePVpZWVl6+umnVVlZKYvFon379umpp55SRUWFNm7cqFGjRmnLli0aPny4bDab+vfvr71792rY\nsGHavHmzpk+frquvvlp//etfNWvWLBUXF6uoqEgDBw4MaZ3Z2dmtXpPlqdc/Pn1P+45VKvf2bF3b\nNzXo/D8+PCFn+SmVexKVnT2kTX9f8P2XPpT7gUuD+xF5uCeRhfsRebgnkYX7EVm6wv3Y9OkeSdWS\npCt791f2t3q0+b2OnD0kqVTXX5epYZktF2aaC6aXPGBNmDBBeXl5uvvuu2UYhubOnatBgwbpscce\n09q1a9WzZ0/deeedstlsysvL04wZM2S1WjVz5kw5HA5NnjxZ27dv17Rp02S327VgwQJJ0pNPPqln\nnnlGhmFoyJAhGjFihCRp6tSpys3NlcVi0dy5c039LNFRNv0qZ4ieWLZd/2ftx1ry8FhF2c7NDTl0\nwlfVOltRY+r3BQAAAODTuEWwPMxBFy7/M1ixbY9JlzxgJSQk6M9//nOT4y+99FKTY5MmTdKkSZOC\njlmtVs2fP7/JtQMGDNArr7zS5Hhubq5yc3PDWHHLrh/QTRO/01f/s+eENu/+SpNH9guc8++bZcam\nZwAAAACaahywSivCm41Q1RCwEmKj2/weHTKmvavJvW2QJGnXp6cCx2rcHh0/VS5JOttJApZhGHpp\n/T+1/ZOTHb0UAAAAICTBQy7C+7278T5YbUXAMkF6cpyuvjJJ/zxWrNq6eknS0YIyeb2+qYVnK2pN\nn2BoluIyV+CHsrzKrTfeO6K3PjjWyqsAAACAyOCq9chq8f25NOyA5fu9OM5OwOpwQzMz5PZ49c9j\nxZKkLxqev7JaLXLX1Qcl60jhrqvXrxa9q7/816eSfAFLkiqqGDsPAACAzqG6xqNuDZsBh1vBctV6\nZLFIsTEErA439NrukqR9h4oknRtwcX3/dEmR+RxWRbVbVa46nSiskHQu8ZcTsAAAANAJGIYhV61H\naYl2xUTbVBbm77HVNXWKt0fJ6i+JtQEByyTX9U9XTJRVH3/h27vrixNnleyIUeZVvtHtkfgcVo3b\n187oD3/llb4fyPIqd8S2NAIAAAB+bo9XXq+hOHuUUhwxba5gHfumTDVuj6pqPIoLY8CFRMAyjT3a\npusHdNPxU+Xa9vE3OnPWpWv7piol0S4pMitY/jGU/spVWcNYy3qvEeg/BQAAACKV//fZuNgoJTns\nKmth9kF1TZ3+8l+f6sjXpUHHi8tcenjJe/r/1uyVq6YurAEXEgHLVEMzfW2Cz/3HR5KkkTdcqdTE\nWEkt74VV4/Zo7opdyj9Y2P6LbMTl9v1A1rrrVVPrUVmjEEibIAAAACJddW3D1D97tFIcdrk93gvO\nPqj3Glq0Ol9vbjumDTuPB50rLKmW15B2fnpKFdW+FsFwELBMNOKGnkpLsmvYoAzN++Uo3XJTX6U2\nVLBaahE8WlCmjz4v1FsffHmplirpvD0DKmuDelbD3aQNAAAAaG+NK1jJjhhJFy4U/HX9P/XR575i\nxvlthOd/HR9mi+Al32i4K+uRFq+Xn70t6FgoLYIl5b7q1ufHS+T1GmE9VHcxXDWNN2WrDfrhooIF\nAACASOcvGMTZoxQT5asdlVbW6or0hMA1BUUV+u/3j6p3hkOnnFVNRrmXNcwhiImyyu3x0iIY6UJp\nESwu852rctXp66KKS7Iuydea6He2ojbwwyUp6M8AAABAJGocsJISfIWNsvMKGwVFlZKkid+5SsmO\nmMBgNz//HIIpt14rq0XKaBj53lZUsNpZfGyUoqOsLbYI+itYkvT5lyW66oqkS7G0Jrtel1VRwQIA\nAEDn0ThgxdltkqTS8wJUUUm1JF+3WbLDrtPF1UHn/YWFm77VQ6Nv7KX0pNiw1kQFq51ZLBalJtpb\nbhEsOxewPvuy+FIsS5Lkqq0P/Lm0sjYozfMMFgAAACKdf/J1fGyUkh0NFazzWgALz/oCVUZanJId\ndrlqPaqtO/d7sP/6ZIddvbo7FMuQi8iXmhir0oqaZkdGFpe7ZLFICbFR+vx4ySVbV+MKVkl5jcqr\nalt8OBAAAACIJI0rWGkNlaeis8EVqsKGilVGarxSLhDC/EUG/+/B4SJgXQIpiXZ56g1VuuoueL6k\nrEbJDru+1S9dp4urdba8+ee1zNQ4YH1TVCmvIfXOSJREwAIAAEDkaxywemckKspm1dGC4H2uis5W\nKzbGpqSEGCU1hKjGAau0srbhsR6bKWsiYF0CLU0SNAxDxeU1Sk+O1XX90iRJn12iKlZNo4B1/FS5\nJKlntwRZLQQsAAAARL7GASs6yqp+PZN0/FS56jznWgCLSqrVIy1eFoulUQUr+NGY5IYBGWYgYF0C\nKYG9sJpWpqprPKp11ystKVbX9UuXJO09WNTsexWXuYJ+YMLh/4GMjrIGAlVqUqwSE2IIWAAAAIh4\njQOWJA3skyJPvaGvTvkmc1e66lRV41FGmm8y4PnPaRmGobJKd6CyZQYC1iUQGNVe3rSCVVzmkiSl\nJ8dp0FWpuiI9Xls++lrOUleTa4tKqvWv897Ri2/+05R1+X8ge6SdG0WZnBCjpGYCVk2tR58cORM0\n9RAAAADoKI2HXEjSwN4pkqTDDW2CgQmCDaPXz38Gq8pVp3qvQQWrs0n1twhWNg1Y/rCSlhQrm82q\nKbdcK0+9V+vePdzk2j2fnVadx6t387+Wuy78Kpar1qOYKKvSk8+Nokxy2JWUYFely616r28oh2EY\nWrT6I909e4Oe+tMOPf/qvrC/N7qu5oa5AAAAmO38CtY1fXwBy/8cVmFJlSQ1qmD5KlX+Ue5lVeYO\nuJDYB+uS8E80+brw3CbCldVuxcdGBzYZ9oecCd/uo9fe+UKbdn2lPj0SdbSgTLfe1Fff6pemjz4v\nlORL6h9+XqhRWT3DWleN26NYe5RSHOcCVorDV8EyDN8akx12FZZU6/1936hbcqxq3PU6/HWpDMOQ\nxWIJ6/uj6yg6W62X3/pMh06cVXlVrRY/NFZ9eiR29LIAAEAX5w9YsTG+WNOnR6Kio6w6/LU/YPm6\nwpprEWw8ot0sVLAugYF9UtQtJU7v7S1QeZVbB78q0fQ5m/T6lsNBFSxJirJZNfWWa1Tn8epP6z7R\n5t1fadm6/apxe/TpEacS433peuvegrDX5arxKM4epeTEc4k92WFXUkLwqPbDJ3w/oHeMGaDrB6Sr\notrd4r5euPxs3Vug9z/+RsVlNXLV1uvQV5duuwEAAHD58v0+a5PV6vuH/yibVf17JuvE6XK56+oD\nI9v9LYLNByyewepUomxW/XDsANW667V+2zEt/dt+eeq92rqvILDJcOM2vVtu6qsfTbxW998xWN+5\n7godP1Wul//vZ3J7vJo0vK+uuiJRH35WqMrq8AZRuGp9ASulUWJPangGSzoXsA6dOCtJurZvqvpe\nkSRJ+up0eVjfG12L/2fl7kmZkiRnGc/pAQCA9lddWxdoD/TzD7o4fqr83DNY6b6AFRtjU0y0rVHA\n8rcIUsHqdCYNv0qOuGi99s4hHT9VLotFOnG6Qp996fuXfn8FS/IFsntu+5Z+OHagcm8bJEl664Mv\nJUnf/lYPjcvuI0+9V9s/OdXm9RiGIZe7XnH2qMAzYpKUlOB7Bks690vzFyfOymq1aEDvZF11ha/t\n68TpiqZv2gks/69PNecvOzt6GV1ORUPYv7qnL4BfaEgLAACA2XwFg+igYwN7J0uSDn9dqsKSasXZ\no+SI813jG9Ue0+gZrIYKFkMuOp84e5Qmj+onw5AS46MDwenYyTJF2ayBqtH5+vdK1o3XdpckJcRG\nadDVaRo7tLesFmnDzi/bPFDA7fHK6zV8LYINiT0hLlrRUdagCpan3qujBaW6+ookxcZENapgdc6A\ntfdgofIPFl02AaC4zKV39nzV7oMnKqp8m2hffWVSw/elggUAF4MBQUDbuGo8iosNrmBd1z9dFov0\n2v8c0qniqsAeWH7JDrvKKmtlGIbKG4IWY9o7qTtG99fg/umaOfVG3fLtvoHjacmxLQ6M+F/jB0qS\nhg3qoSibVd1T4zTihp46WlCmT48627QW/ybDsXZbYJ+u5IZgdS5g1er4qXK5PV5d09c3kaVXd4ds\nVotOdNIWwaqGUZ4HL5NnhP7+7hE9/9rHOvpNWbt+n4pqt6xWi7qnxCnObgtsPwAAaF1tXb1m/Ntm\nrXr7s45eCtCp1Nd75fZ4FX9ei2DPbg797AfX62xFrWrd9cpIjQ86n+ywq87jlavWE5jyTQWrk0p2\n2LXgV9/ViBt6qltKnPr39JUv0xu1B17Ijddm6Omffkf33zE4cOzOcQMkSW+8d7RNa2k80tI/RdBf\nyWpcwTrc8PxVZt9USb5NiXt2T9CJwopO+a9t1S5fpeXzLy+PgHWmoVLX3hW7imq3EuOjZbFYlJYU\nRwULAC7CyTOVcpbV6IuG/88Fuip3Xb3+c/Mh0/6h+/wR7Y3dMXpAoEjRs3tC0Llzo9prAxUshlx0\nETcN7iHJV8FqzfDrr1R6clzg68yr0nRdw+j2tgycaPwDmZpkV58eibp+QLqk4IDVeMCFX98rklRd\n45GztHP9El3n8f0rhyR9fvzyCFhnG6ZUnm3nzaF9Acv3c9MtJVblVW5T9moDgMvB6WLfQ/j+Z5+B\nruqD/d9ozaaDevTft2nR6o9UXVMXdL7KVacl/7k35E4p/ybDFwpYknTv5Os0e8Zw5Uy4Jui4f8Bb\neaVbZVW1irNHKSbadrEfp1kErA404vorZbFIvTMcbXr9neN8qfy1//niol/bOGBF2axa9r8n6N7J\n10k6F7B2fnpSuz49pTi7Tb0b7Wl0VSedJNj4v8THvilTjdvTgau5NEoaxumXlLffWH3DMFRRXRcI\nWP5/CChp51AHAB2l3mto2br9+uzLYlPe73SxbyNUAha6uiMFvkcWeqTF6/193+jtHceDzu/89JS2\nfPS11r17JKT3C/w+G3vhgGW1WvSdwVc0mRDo/7q0slZllbWmVq8kAlaHGtA7Rc//dpxyxl/T+sUX\n8J3rrtA1fVK07eNv9PEXRZJ8s/z9P2wtaamkGh8brZ/efp3i7NGqqvHoW/3SZbOee0asb2CSYNOA\n9d/vH9UfXt2rl9b/M+Kec6pqFLDqvYaONGxA11UZhnGuglXRfmGnqsYjr9doFLB8FdnLZZAIgMvP\n8ZNl2rDjuDbv/sqU92scsDpj+z0QqiNfl8pqkWbPGC5JOn4y+HdJf5ts/sFC1Xtb/+9CYcMeVwmx\n0a1cGSwQsCpqVV7lNnVEuyRdOO7hkunX8BxWW1itFj2YM0R5f9iqP//9E9103RV68/2jirJZ9e3r\neqh3RqJsVotG39hLfRpVoCSpptbXvuXf9fp8d42/Rj8YO1AHj5eoZ7fgvlX/qPbzJwmWVtRqxX8f\nCHy969NTeuGJW1oc4HEpVbt8obJbSpycpS59frxE1w/o1sGraj9VrjrVNbREtmc1yb8fW2KC73/c\nuqX4Klg8hwWgqzrb0B3gb08Kl79FsM7jVa27XrHNtDsBke6ks1L/70u79du7szWwT0rQuXqvoS9P\nlqlPj0T17pGomGibvi4M/l3y0Fe+gFVW6ZsDMOjqNJVV1iopIeaCv0+++b5vFsGIG668qHX6K1ZH\nCkrlqTdMHXAhUcHq9Ab2TtH/893++uZMlf5r61FlpMWre2q8dnxySmvf+UL/ufmQHl/6QeBfx/xc\ntb5qTnM9q5Jks1o0uH+6Us8bwnFleoIS46P1wf6TQQ/k+ica3jluoLIHZehUcZUKiirN+qhh81ew\nsgdlSJIOHu/aDxP7fwGQ2vcZLH9LS6CC1fDzwiRBAF2Vf4PSKlddK1eG5lSj/4+mTRCd2adHnPq6\nsFLbPv6mybmTZypV467XgN4pslkt6p3hUEFRRaBSVVPr0fHT5YqO8sWTPZ+dVv7BQt07Z6P+9o/D\nTd7v0Fcl2n/YqRuv6R40KyAUqYm+31U27fJVoVMSCVg4zz23DVL2oAzdOW6g/s8j4/WnxyZo2f+e\noAW/+q7unfwtlf//7J13YFvluf8/2rK89947HlnODklICIQdoBS4pdBCoQV+3aXtpeN2UErHhba0\nhba3QBmFsndY2XsPJ7bjvS3b8pQly1rn98fROZa84pUEiD7/BCzpaB2d932e5/t8H4udX/xzv89C\nYD2DZnUiVCol375lAU6niwef3E9nj7iRPl7VCcCK4nhWzk0E4FB5+0zf3qwh9WAlxQQTE2GgvL77\nMy3F8K5anc0eLGnIsBxgeSpYJn8Fy48fP59ReuUK1swDLJdboKPbKv+/P8Dy82mmz+PIV9Myug2j\npln8W6ZnCHBKbDB2p1s+/6ube3G7BdYtSkGjVrLnRCt/fvk4bgFe2lw5So0jBV03XjL1Vpu0+BBu\nXJfN+sUpXLUinY2rM6d8jInwB1ifAQx6DT+7axl3XF2AXqtGoVCQHBtMQUYkN67L4ZqLMmhqN/vM\n15AkggHjSATPxKI5cXz5anG+wKMvHAHgRJUJg15NVlIYC/PFKtHBMt8Aa8jhOm/ucpKUI1CvJisp\nFLPV/qlzQjwTLpdbzqx6V616B4YmpWWeDmapghXo24Plr2D58ePns4o0N8cyCxJBU++gz/XZH2D5\n+TQj7UFqmvtGJbGlmZyZiaJ0UGpfkWSCkiqqOCuKudnRtHRaMPUOkpkUypDdxfPvV8jH2lvaxv5T\nRnJTwymaRruHUqngtivm8I2b5vPV64tHtdLMFH+AdQFwx9UFaNRKHznfRCYXk+XaVRksyI2htMbE\n9iPNtHVZKMyIQqVSEh6sJycljLK6Lga8KmfffnQbP/jzTrk36FwiSQQNARp5Blld29kdwHuueW1b\nNXf88kM6ewblqpVWrcTtFui3nJ0qltkqfq4hngpWaKAOtUpB12csePXjx48fidmsYEkSftk2+ixd\nq2fKg0/ulxOqfvyMh1TBGhh00O5VmQWxQqVQQEaiuAeTgppGT4B12mv26uI54iijpJggHr53JSlx\nwXx8oIG3d9by5o4aHn7mIHqtiq9cU/iJ6fX3xh9gXQCoVEriowJp6RyQswm2GUgEJRQKBZ+/JAeA\nv7xyHIC52cNZhEVz4nC5BY6eFh0OBwYdNLUPUN3cxyubp24tP1O8K1jpnh93XctnK8Cqb+3H7nRz\numj4tooAACAASURBVLFbdg5MSxBt9XvOkkxQkggGGUSTC6VSQURogL+C5cePn88sUoBlGZx5BUsK\nsLJTxKz+J7GC5XS5OVhm5IhnPffjZzykChYMV6wA3G6B2pY+EqOD5OS+5EotVbBON/QQFqwjOjyA\n1QuSuGRRCt//Ygl6nZo7rykE4O9vlPJ/b57EoFPz4NeWk5cWca7e2pTwB1gXCInRQQwOuWT9qtSD\npdfObKhaQUYkc9Ij5IrY3Oxo+baSfDH7cLDMCIDRNNzE+5+PK6lrPbfBjdSDZtAPV7BqR7yGLYca\neW5Tufz/1U297D/Zdu5e5AyRZCsNbWY5oMrwlOInsmo/cMrIvb/dMi23QUkiKM1PA9Hoott89mSJ\nfvz48XM+ka61Tpd7xrJ3yUFQatLvt9pxuwX+8OIRthxqmtkLnSVMvYO4Beg/i3JzP58N+rwqsFLP\nFYCx24LV5pTlgQBxEQbUKiWN7WZMvYN09dnITQlHoVBg0Gv45s3zZbftBbkx/Pn+tXz98/O4aX0O\nv/vGReSmfjKDK/AHWBcM0jDj1k4xyJkNiaDEjevEKlZYkE7ORgBkJoYSEqilvF6chyW5JC3Mi8Hl\nFvj7G6Uzfu6pIFewAjREhuoJNmipaxmevyAIAk+9U8Z/Pq6ktqUPl1vgoX8d4FdPH/jUVGOkzGeD\nsV8OqDLkCtb4wdOu4y00tZunZUoiSQQlkwsQrdrdboHeszh/y48fP37OF71eLq2WGcoEpbUxJ9kT\nYFnsdPRY2Xywibd21szo2LOFVGWTgiw/fsajb2BI3g/UNA8nsaX9lmRwAaLCKikmiOZ2Mx8daARg\nTvr4QVNybDCXLknl1g35JMXMbs/UbOMPsC4QEqPFAKu5U7RNt81igLUwL4YNy9K4aX2Ojw5WoVCQ\nGhdCe7cVm91Jm6eCddXKDIoyozhZ03VOh9HKPVg60QgkIzGEti6LrKFvNJrlRfOj/Q0cqWins2cQ\nQYCdx1rP2eucCVJWtb6tn+5+G8EGDdHhBmBiJ0GpPF9RP/Xh0CMlguBtdOEPsPz48fPZwjWip3Wm\nVu3GLgtatZLUeHHD2G+xywFNQ1s/Duf5MYbyRqqyge8IED9+vBEEgb4BO4nRgcREGKhp6ZVbU6Q+\nK+9EPIhBk83u4sWPThMRouOypWnn+mWfFfwB1gVCoqeC1eKZSzU45ESlVMizBmaCQqHgvs/N5aqV\nGaNuS4kLRhCguX1ADrDiIg2sKBYHwu0pnVng0mDsn7TU0Do4bHIBw0Oe6zxTxCWbeYCtR5p5a0ct\nAAoF7DjaPKPXeS4QjSzEYMfYZaGzd5DwED0RnrlU41Ww3G6BJs95UT6NAKvfakerVvoMrY4OF63a\nG4394z3Mjx8/fj6V9FuG8FbJzXTYsLHLSmykgVCPyYXZYqfNE9A4XQINRvNEDz8neM/SnEhu7ufC\nxjLowOUWCA3SkZkYSt/AsFuzlMhNjhkdYIG4F7lrYxGBARo+C/gDrAsEqYLVIlWw7C4CPJWcs4mU\nqWhs76ety4JSAbERBpYWxaNQwJ4TM+tv+vXTB/jJ3/ZMShNutTlRqxRoPUGl5GJT7wnQjnkCrNXz\nk7AMOjhW1UlOShjzc2KoauqltfOTMzR5LCw2B27P5yAIMGR3ERGsJzxEXLS7x1kUO3qsDNnFDGlz\nx8CUG6zNFrts0S4h9d+d68qf2y2wt7TtvI0C8OPHz2ef3hEVnJlUsAYGHVgGHcRGBKJWKQnUq+m3\n2Gn3Cmi8ZVbnC6OXG9zZMkzy8+lHUtGEBunIShJ7rao9fVhN7WZ0WhVRnlmZEqmefeLCvBhWFCec\nw1d7dvEHWBcIwQYtIYFaOcCyDjnRz4I88EykSBacRjNtJgtR4QY0ahWRoQHkp0VQVtc1YW/QRNgd\nLlpNFvoG7D6NlONhsTkw6DVyUDlsdNGP0+XmZI2JxOhAbrksV37M5cvSWL1AHJq8Y4yp5J8kpEXf\nuyoZFqIjNFCHUqkYd1GUyvYGj6Pk6YaJq1gOl28wO2C1+/RfASREBZGTEsaxqs5zmu3cW9rGQ08f\n4P299efsOf348XNhIV1rQ4PE695MKliS45qkNAgO1NJvsct9WTD2wNZzjbfdtr+C5Wc8JIv20CAt\nWcligFXV1IPLLdDSOUByTBBKpW9if3FBHHdvLOLbtyz4RNqtTxd/gHUBkRgdRHu3FYfTjW3IOSv9\nV2ciJU40WKhq6qW730Z8pEG+bXlxAoIA+6bp0tfWZUGaYXd0EtaxVpuDQP1w6TkxJgi1SklNSy9V\njb0MDrmYmx1NYnQQC/JiiAjRs3JeIksL49GqlXx8oJHmjvGlGiMH6p1rpMpTvpdlaUSwHqVSQViQ\nblyHwCaP/GT1/CRgYpng1sNN/PqlFhraROmfy+XGYnOOCrCk47ndAruPn7sq1qm6LmA4Y+bHjx8/\ns42UpU+IEpUhMzG5kAIsyYU1xBNgGU1WtBoVapViUgnEs027R4ECoyt4fi4s7A4XH+yrH1Mp0udV\nwRLdAMU9RYdn75k0xjBftUrJ1RdlyBLZzwr+AOsCIikmCLdbwNhlYXDISYBuZhbtkyEkUEtYsI5T\nteLGN96zIAEsKxL7sHZ5bcD/9J+jfPkXH3D7zz/gr68en/DYkiMiwNHKzgnuKWKxOTEEDAeVapWS\n7OQwapr7+M2zBwGYlyPazP/oS4t5/Adr0WvVGPQa1i9Jpb3byn2/28rT75wadey/vX6Cu3/98XkZ\noCwhLfpFWcOzyMI9WdGIEB09/bYxg0CpgnXJ4hT5YjgeO4+14BbgeLX4ecsOgoGjNdMr5yWiVMD2\nI+euf00y6ahv8/d++fHj5+wgBRiS9H4mw4b7R4y5CAnU4XS5aWw3Ex9pICUuhDqPyuJ8MTDowGx1\nkBYvqj6mM87Dz2eHrYeb+fPLx3ltW/Wo2/osUgVLR2CAhtS4ECobe6lvE2WuI/uvPsv4A6wLCGkx\naDSacTjd56SCBaJMUOqRio8MlP8eE24gLzWc0hoTXX2DNHlsOq1DTmx2J5v21NNqGr/vqc1zm1Ih\nbqwnWuScLjdDdpdPBQvgW7fMpyAjkq4+G0oFFGWKwYlWo8Lgdd+vXlfEA19aTHRYAK9urZabNSUO\nlrVj7LKOMtw4Ud3Ja1urzkl1S7LOjYsMJMZjMhEeLGaEwkP02J1itWkkje1m1ColmYmh8sVwrMXc\n5XJzskYMlGs9wwMlB8GxKlgRIXqKs6KpaOjxaZA+Www5XPLramofOK8bEj9+/Hx2kQKshGhxPZvJ\nsOHRAZb4r9PlJi4ykMzEUBxON80d568HWOoHy0kVKxKz7SIoCIJ/ttYnFJt9rD2DmMD8aH+D3Pct\nIVewPOdxXloEdoeL7UfFFovk2CAuFPwB1gVEgifA+seb4vypkY2GZwtvS874KIPPbWtLkhEEscqx\n9bA4UPHeG+Zyzw1zAfhwX8O4x231uBIuKYzH5Rbkzf9YSBp5qc9IIiEqiF/fu4Lv31rC924tIWiM\nQAFEp8RlRfF88fJ8QKzkDB/bIevTvW3Oe/ptPPT0QZ56p4yDZVOfL+WNw+k6Y69ar6R9DtSSGi9K\nMyPkCpb4b/eIeV5ut0Bzu5mkmCBUKqV8MRyrAlTd3CvPT5tMgAWwYq7YsHp4GvO1pkptc5+8SDtd\n7k+8KYkfP34+nUhqgbNTwRq+lsZHBcp9LNVN508mKK1vidGBhARqZ32+4a//dZBvPbLNnxT7hHGo\nvJ3PP/AuJ2tMPn+X3Kg7egY5NkI91OcJvsM8yV2pZWG/pxXkkz67ajbxB1gXENKw4a4+G/lpEdx+\nxZxz8rxSHxb4SgRBlJGpVUq2HGpi66EmDHo1S4viWVEcT7BBy8cHG3G6xs5stXZaUChEIwqYuA9L\nWgAN+tFSNoVCwUXzE7loXuIZ38vigji0GhU7jrbIVSnJ5h3gdEOP/N9PvH5Cdpd6dlP5qEzPVHj+\n/Qq+8tDHEwZZ/V7a5+VF8cSEB5DmGTIsXdSkwEiis3cQm90lm5FIbj5tnaMrTieqxYusQiG6ATmc\nbsyWiQOswsxIAMqmYf8+WaTvtsJjzpGbIg7r9MsE/fjxczaQe7CiZ96DNTLA8r6WShUsOL9GF9IM\nrNiIQMKD9bNawbI7XBwsa6e+rZ9d0zSScrkFf3B2Fth1vAVBgCMj9lYtnQOoPA15H+yv97nNWyII\nwwGW0yWgUiqIjwrkQsEfYF1AJEQFMj8nmo2rM/nVPSvk/pyzTYpXU2NchG8FK9igZdGcWBqMZkx9\nNlbOTUSnUaFRq1i3KJm+ATsVzWMPI241DRAVFkBRVhQBOhXv72vgR4/vZs+J0aYKUgVrpvMVAnRq\nFs2JpaVzQN7Ae8sCpU3+nhOt7DnRRkFGJGsWJlHf1j8jF8IT1SbsDhdVEzQ7D9ujarlkcSr//PGl\n8mItTUYfGeg0jRj8F+v5fozdYwRYVWKAlZcUgNMl0GjslytYIWP0YIGY4Q0J1E5rvtZkKK/r5qYf\nvcebO2rk4PbSpamAP8A6Ez1mm1yR9ONnqlQ39/LtP2w/J/LfTxq95iF0WpWsDJiJi6A0sDgkUOf5\n16uCFRlIWkIoSqXivFq1S+tBXKSBsGAdVptzTOnYdKhqGpakv7JlenL6x146yr2/2TKjJObZpLal\nj2feK/vEyiD7BoY43Tzo8/kJgiAnVau8qqcOp4uObiu5qeGkxYew/6TRx1VypGmLdM6AmJBQqy6c\nsOPCead+UKmU/OKry7nzmsJZGTA8WaSqSESIbkxr+IsXJsv/vbZk+L83eCpT7x3q5aGnD7D5YKN8\n8bUNOenqs5EQJc4OufOaQpJigjhRbeJ3zx0aPadEqmDNQt+ZVOmSZIJSBSs2wkBHzyBdfYP8690y\n1ColX//8PL5wWR5qlYLnNpXT1Td2sDgRLvfwoMn61vGDhuFM6GgnnozEULQaFeV1voGOFIRIg/7i\nPD1y3pa8IF5Uy+q6SIsPITNOPH5tSx+dngGC41WwFAoF+WkRdPYM0tFjHfM+M0EKaJ9+5xTHqjoJ\nC9axeE4cAA1t53845ycVm93Jfb/dyh9ePHK+X4qfTykf7GuguqmXA6eMs3pcq83B31478Yk2Uug1\nDxEWpJMl5zOZgzWRRDAuyoBOoyIlNpi61r7ztkFvlytYBrmvt9c8RL/FLifZpouUfAsP1tFgNHNo\ninJyQRA4XN5BW5cF0zTW13PB69uqeXlzFVVNPRPez9Q7yHPvl/PXV4/zz7dO4nCe3XmOVpuDZ94r\n466HPuKFHV1s2lsv32bsstLZI36eNc298t6rzWTBLYjJ08uWpuJyC7y+rUZ+XN/AEEEBGjmQkvYA\ncGH1X4E/wPJzDggyaFlSEMfKuWNL8EryYwkP1pEYHSRXWkD8AV99UQZuQRwe+4cXj/LYS8ewO1zy\njBDJJveypWk89r2LuWtjIU6XwJZDjT7PYR0cXyI4VUryYwnQiTJBt1ugrrUPtUrBOk9w+NymClpN\nFtYsSCIxOoi4yECuW5NFe7eVbz6yjeOTcDz0prVzQLZDnagq0zswRGCAZszgWa1SkpsSToOxnwHP\nZ+F2C2w+2IhKqSA3VZTVxUgVrBFZ6YqGHuxON8VZUcSFixuA6uZePj7YiFajIj89ctzXNcdz28jg\nbjZo8/ThOV0ClkEHuSnhhAXrCAvWya5FfkZzsqYLs9VOaXXXeRsvUN3c67fT/xQjSbKl5M9ssbe0\njXd21/HB3vpZPe5s4XYL9A0MERasQ61SotOqZiwRVKsUcrAmBVhKBUSHidfjjMRQbHbXeesrNXZZ\nCAnUYtBrCA8Wq3Y9/UN8/7Ed/Owfe2d0bGld+ObN8wF4detoZ7qJ6DEPyeoNaT2QcDhdMwp+Zwtp\nvEvrGNJ7b/79QQX/+aiSTXvqeWN7jY/D8nTo6hvkhQ9PM+AJgmtb+vjffx9my6EmSqtNfPORbby8\nuQqdVo1KCW/tqJGrWCc8TsFqlRKzdbjPXJqlmhQTxPolqcREGHhrRw2NRnFv0jdgH2W3LgdYF1D/\nFfgDLD/niB/fsYS7NhaNeZtGreT331zFr+5ZPmrI3N0bi/jBDQn87YfryEoO46MDjfzin/vkH7nk\n4iSxdmEyWrWS9/f5uttYZIngzCtYOo2K5cUJtHdbOVzRToPRTHJsMAWefqOPD4rB3bWrM+XHfPHy\nfL56XRGWQQe/eHK/HORMBu+gaqKgoX/ALjv3jEV+egSCMDxI+ECZkeaOAVYvSCIyNEB+bxEhOllz\nLyEFhUVZUcSGaVAqYPOhJjq6rawtSfbJuo5kToZ4cZ2MTLCioZvv/WmHj1nIREgL6vrFKeJzeQL0\ntLgQOnoGZ9R8PlX6BoY+sRKQkRyuELPEZqudrr5zXylwutz89G97+enf9pz1LK2f2afNZJE3XA3G\n2ZXidniOW/cJlfgODDpwuQXCPJvIQL0a60xcBAfshARq5bVPupZGhRvkZFlWkmh0cT7mYblcbtq7\nrbIDcHiI+L4PV7TT0mmhuql3zHlIk0EQBMrru4kJD2BhXiy5qeGU13VNadyJd19xq1eAJQgCDz55\ngK89vPm8XmMEQZD3KxMFyIIgcLiig5BALT+/axkA22Y44uS1bdX8+4MKfvL3vZTVdfHjJ/aw7XAz\nj75whAce3017t5XPrc3mHw9cQlGagVaThUOetUFqCZBURVIyTHKzTIwOQqdR8dWNRbjcAn97vRSX\nW6DfMiQP4JZYNT+RBXkxrF6QNKP382nDH2D5+UQQE26QN/kjUSgUJEQH8fB9K1mYF8PxKhMvfVwJ\nDFewJIIMWlbOS6TNZKHUy/lmIpOL6XDVygwA/vnWSewOF+kJoWQnh8uDGOdlR5MWP2zuoVAouGpl\nBteuysTucI1aKHcdb+H3zx0es1FX6vHSqpW0dAyMuZi55Qvb+IP6pCxSWV03giDw6pYqAG64OMvn\nfrERgXT2DuLyei0Hy9tRq5QUZ0WhUStIjAlmyC6+jmsuyhj3OQEyE8PQqpWU1Y3v8ghitvEPLxzl\ndEMP//vvw9gm0R/UahogIkTPPTcU890vLOTy5ekAsrnHuZIJtpoG+NIvPuSVLZXn5PlmypGK4abl\n2tZzX+k7WWPCbLVjtjpm7LA5VZwutz+omyFHK4fPn0Zj/6z2vnR4ZEmf1B5Kqd9E6isx6DUzrGAN\n+ci6pWt4gtdIk8wkyeji3P9WO3oGcbkFOZkZ5qlgfXRATCS6heGqxlRp7hjAbLWTnyYmJxOjg3AL\n0DkFObl3D7R3BWvfyTaOnO6gd2CIxlmusk6F7n4bg0Pi9abVNH4Fq9FoprvfxrycaBbkxZCVHMax\nys4ZDXWW3Hurm3r5wZ93Ybba+fJVBdy0PoclBXH86msruP3KOei1apbminupN7fXyP1XESF6Vi9I\nlI8Bw991osc0bXFBHIvnxHGi2sTbO2twC4zah0SGBvDzu5bJrQgXCv4Ay8+nBp1Gxb2fm4tWo5L7\nnkZWsAA2LE0D4P299fLfpAVw5Bys6ZKVFEZBRiQtnpJ/ekIoATq1bI/uXb3yJtOTifReFARB4Jn3\nytl+tHmUy594X/G9Li6Iwy0MDwb2xmy1ey5s41eS8tIixEHCdd0cPd1JRUMPi+fE+bg8AsRGGnC7\nBTp7xY1OV98gtS19FGVGygGq5Gy1MC/mjBdNjVpJTmo49W39E8o1Xt1aTUvnAJGheoxdVp7ZVD7h\ncR1OF529gyREB6JRq1izIEme7ZbqeU8zNdcw9Q5y28/eP+Ow5INl7ThdbrYfmdjIRBAEXt9WLcsp\nJsOH+xtomMXNprHLQqvJIhu+jHXOnW32lLbJ/73lUNOUHvvIvw/zk7/tmdbzCoLAr54Ss9qf1IZ4\nia6+QbYcapz14eWCIDA0zYqDhGTNnJ0cxuCQS75WzAZSr6axy/KJNGHp8vSdSmNOAvUarDbHtKS2\nTpc4m9BbARAapOMr1xZyy2W58t/SE0JRKDgvktphtYi4oZZ6sLx75KYbwEjXZ0nlIDnMtU3BOMU7\n6JQqRA6niyffPiX/vW6C3uWp4HILHCpv57GXjvHbZw9N6nfkPb9sormeklPfgtwYANYsSMLtFth1\nfHrmWK2mAVo6LSwpiJMVHndeU8j1F2dx64Z8fnzHEoqyouT7x4VrKc6K4kS1id88e4jegSGKs6PI\nTBT3LJLRRUuH6CAY55UAuPu6IgJ0Kp5+pwwYHWBdqPgDLD+fKmLCDXz+kmxA1KjHRowOsPLSRHeb\nPSda5Y2pJOEwzIJEUOLaVcOVm3RPxeSWS/PYuDpTvkiOJCNxdCaytqVPzrxVjTHrpL61Txzamx3t\n+f/Ri0X/CGvUsQjyTFUvq+vi5//ch0IBN67LHnU/yUlQkgBJFYZFHvMIgLnZ0SiVCm5YO/rxY5Gf\nJsoTR87MkGgzWXjp40oiQnQ8+u3VJMUE8fbOWiobfZuCT1R38sWfvc/JGhPGLiuC4Du8WmJhfgx6\nrYrXt1XPSCZ4otpEj3mIzQcbJ7yf9L6a2s2jDEK8qWzs4cm3T/HMexMHjxJN7WYee+kYz39QMfkX\nfQakhfzKFWK171wHWG63wL7SNoINWtLiQzhU3i47T4G4ORpv4+Jwutl1vJVjlZ3TqkIdKm/nUHk7\nHT2D8m/mk8p/Pqrk0ReO8r0/7pjVas6WQ03c9MC7cl/IVHG53Byv6iQu0sCSQo+hzCzKBKUASxBm\nX344G0jBZJRHcWHQq3G6BOzTCITlMRcjJNbXrsqUe1dBdK9NigmitqXvnCcGpKAgMco3wIJhV96m\nMZJ+k0Hqv5LUFdKm3ehZD083dJ/R9KKupY+gAA0GvVoOzN7eWYexyypLxuumWaU3W+0+j/3Xu2X8\n/P/28eH+BnYea2HTnvozHsO7utfaOTBuIC71NM737B0umpeIUoFPck8QhElftw6Xi8dbNCeWb9w0\nn+d+voGN4yR+Jb54RT7BBg27Pb1f83OiCQzQkBgdKBtdtHQOEBdp8HEDjI0w8JVri2SJ/ESJ3gsJ\nf4Dl51PHdauzSI4NJis5bExDB4VCwe1XzsEtiEOVBUGY9QoWwOKCeGIiDCgUYoYRYFlRPHdeU4hS\nqRjzMfGRgQToVD6bWu+hxSOHSZqtdkx9NtITQkj3VMfG2mz1es3AmojCjEhcboHYcAM/v2sZeWkR\no+4T5wlapT6s4QArVr7PukXJPPuzDRRlRo16/FisXpCEUgHPf1DuIz2U2OzJ1N92xRzCg/XccXUB\ngHyhB9E58o//OUaveYgdx1rkxXSsuRrhwXpuWJtN78AQr02xadob6bM+Vdfts6EXBIG9pa2YrXac\nLrfPIMZDZeO7qkkBdFld16Q2StL9vbOgM0WSB65fnEJIoPasB1hvbK/mVS/75dMNPfSYh1haGMe6\nRcm43ILPb+DHT+zhO3/YLp8nDz65nx8/sRsQN0pSRWeqVROXy81TngwriNVJbxqM/VN2MDubSBuz\n2tY+vvvHHbPmwrm3tA2XW5h0n+NIqpp6sdqczM+JkSvFs1VhdbsFn+9lvMrDdHt+ZgPp9UV7KlgG\nT5BhnYaZwkgHwYnITAzDanOOOUJjqhwsM44aHjsekjGDpBbxHu8iJWkkVYWxyzIl2/5TdV0Y9GpZ\nRREXKY0JEc/1P/7nKL966sC4yRSrzUFbl4WMxFDiowIxmiy43QIfHWhAr1Vx/60lKBTTl0H//Y1S\nvv2oOIrA5RbNs8KCdPz8rmUY9Gpe2VJ5xiqrdO2OCgtgcMg1puRvyOHiVK3o0itZ/0eE6CnOiqai\noUdOwL6+rYbbfva+3Ec9EVIv1cI8cd2eTFUpLzWCZ3+2gUe/vZof3FbC6gVi/1VWUjgWm5PTjT2Y\nrQ4So0erVtYvTpEdfMP9FSzAH2D5+RSi1ah45FureOjelePepyQ/lgWefq39p4zynBLJqWk2UCkV\n/Pdti7j/1pJJLZAASqWCtPhQmjsGGHK4EASBXcdbCdCp0GlVso3rqdou/vFGqVwZSU8IleWHYxld\n9A94KlhneB1f2JDH928t4bH7L5YzZSOJjZQqWBaGHC6OVXWSHBvsIwlQKBSTfs8gSvbWL0mlqX2A\nD/Y3jLr9cEUHKqWCZUXxgGimoVYpOOG1CXjhw9NyA/zJGpO86Izsw5PYuCqTiBAdr2+vmbACMJG0\nR8pe2h0uKuqHq2lHKzt56OmD/PFFsWfMZnfJi8vBCTbpUsBktjomlZ2XJEFtJsusGGg0tPVzrKpT\ndrfMSAilvds6JdOVqeB2Czy7qYKn3y3jhQ9PA7CnVAyalxXFs3q+GHhvPSzKBHv6bZTVddNoNLPv\nlJHyum72nzJyvMqEscviU9HsmKBSOBabDzXR1G4mQKcCGGXp/MRrJ/jFP/dNOMz7XGLsshARoudL\nV87B7nCxz0tWOV0EQZBHG0zUDzIRZZ6qQ1FWlBxgzVaPS4/ZhtMlyEmTeq+Nscst8J+PTvP/freF\nG374zrSlUzNFCrCiwsUAK8gTYE2nD2tKAZbUh9U0s4RITXMvv3xyPw88vpv/fHT6jIkeKdCXvhNv\nC+7LlqQSGKCh0diPyy3w33/ZxX//dfekkkc9A07aTBaKMqPkobWSGqHNJMpDmzsGcLrcNLWPnWBq\naDMjCKIyJD4yELvTTVVTD80dAxRmRhEVFkBCVCB1LX2TknA2GPt9jCVO1/fICaCqxh76BuwsmiPu\nLTauyqRvwM47u2onPGaLJ8CSEpRj/e5O1XRhd7pHKV/WLRIDnA/21eNyC7y9qxaXW+AVT/90r3mI\nD/Y1jFobbHYnpdUm0uJDZCnrZFGplGQlhbFybqL8veSkiDLBXz99ABjuv/JGoVDwzZvnc8uluayc\nN7Zj9IWGP8Dy86lEr1Wj06gmvM9XPJWkx189Lgcls1nBAshKDpPnYk2WzMRQ3G6BhrZ+qpp6ae+2\nsnhOPJmJoTS1m7ENOfn7G6W8tbOW3z13CIC0+BACdGriIwOpa+0ftVhMtoIVZNBy0fzECT87qp/y\nOAAAIABJREFUWSLYZaXUM+B4sVf1arp8YUMeATo1z79fwXObynl5cyW2ISe95iGqm3qZkz7c46XX\nqslJCae2uRfLoIOGtn7e2FFDbISBgoxImtoHZHnJeJPh9To1X7w8H7vDxdd/v5UfP7F7lCzqUHk7\nX/jppnE3a96B2fGqYXmjJNvYf8rIy5tFY4tLFqeQGhdMabVp3CGc3j0UpZPIIFd5Agqnyz2q4jJV\nWjoH+PHf9jBkd3HT+hxgWLI6XQnNmejqs8nVhhc+PM3Xf7+VN3fUEKBTMzc7mnBPlraysZfOnkGO\nVw9/Jm9ur+H17cPVxyOnO+Rh0jBshjCSfSfbeOjpA9z964/58RO7cbkF3G6BVzZXoVUrueXSPMC3\ngiUI4u9REHy/5+kgCMKMg2GHU/y+4yINrFkoOm/tn4V5U21dFvo8yZjpBliSZCwlLpjYCANajWrW\npHySvHZhXgxKhW8Fa9vhJp57v0Le8EsSqHONHGBJFSzPNWs6w4ZlafcYswtHIvXvvrWzhof/ddCn\nuj9ZBEHgn2+dQhDEoO659yv4xxulEz6m1WQhIkQnv0+FQkF2chjFWVHERBhIiQ2mzWThZLUJU58N\nU+8glWeY9wRQaxQTGfNyouW/hQRqCdCpMXZZqG8Vf48w/vWptkW8nqYnhMo9YtIsp7nZUfJtFptT\nnuk0EX995Tj/+/xhjF0WuToGosrkgEeZsLhATKRduzqTYIOGV7dW+7w+25CTFz6o4OFnDopBYucA\n4cE62QlypCGIbcjJS541ZGSAtWJuAiGBWj7c38j+k23yubf/lJEGYz+/emo/f3752CgJ+4lqEw6n\nm5L8ma/bAJcuTWVtSbJ8vqbFj913HRKo5b8uy/P3YHnwB1h+PrMkxwZzx9UF9JiHaGofQKlUoNNO\nHJSdC6RNbW1Ln5wtu2heAtnJ4bgFZLOLmAiDnEGSHpOWEEK/xc7R0+Im0Dbk5GSNSXYlnA3tc2Ro\nAGqVAmO3hXd31wGwpCB+xscND9Zz0yU59Fvs/OfjSp55r5yXNldyzONItiDPd3EpzorGLYjVvDe2\ni/M57rq2kIWe++0/JWb0JVnJWKxblMIPb19EUWYUx6tM/OSJPfJCe6q2i1//6yBmq4Nth0ebWPSY\nbfSahyjOikKpVHDMs/G2O1zsO9kmG2ocruhAqRAz+iX5sdidbk5Ujw6eBoecNLeb5QD2ZM3Eroou\nl9tHvjddpy4Qs9YP/HU3veYhvnZdkTzcO10KsM6STFDajK9ZmERkqJ7GdjNz0iP5/hdL0HqC/KWe\nPp4Dp9rkcQDxUYGU13ezt7RN/n6PVIwIsDyb8ZrmXrYfacZmd/Lenjp+9dQB9pa20dljFSvYJ9s4\nVtVJW5eFVfOT5Jlv3gFW34DoaAhidXImPLupnEfeaJvRANbOHituQexJiQwNIDs5jFO1XTOuNHrL\nAtvOMJNnPFo7LSgUYrVBqVSQEhdMU/vAmNLfqSIFzUkxwSTGBFHfNpxMkirDj3xrNVqNipqW8zND\nrbN3kJBArZykCvSoIqbz3fRbxMTY5CSCoWjUSioaeth9opUn3z45aWONgUEHHd1Wdp9opbTGREl+\nLH+5fy3xUYG8v69+1Lm67XATB04ZsTtcdPZY5eBF4tf3reTnd4tW4ilxwbgFeNnLQXUy1dYao/je\nvQMshUJBfGQgxm6rHDzB+FLRWs/fpQoWwM5jYuA519OzLK+3Z0gi9Vvs8u+jvL7b5znrWvv5cH8D\nGrWSeZ7jGvQavnRVAZZBBz/4807e3VXLc5vK+dpvNvPvD0+z+3grb+2sobPHSmJMEImez9Dbqt1m\nd/LLJ/dzqraL5cXxPqYTABq1ivWLUzBb7fz55eMAfG5tNoIgSqkrPNfDN3fUyOeC0+Xm+ffFnl1J\nETJT9Fo1375lAf/3o/V8/9YSVs+/sOzWp8vs6aX8+PkEcu2qTFJig/n984cJ1GtGzdk6H0ib2h1H\nWyir6yIqLIAFeTEMemzPn/NcHG+7PJ+UuGBaOy2yU99VK9M5VN7OL5/cz1Ur09l2uFmuXgGyfnsm\nqJQKosMN1Lb04XQJFGdFkZcWPuPjAly3JovCzEgcTje/e+4Qb++slZu5F44KsKJ48aPT7D7Ryq5j\nLcRHBrJoTpycHXO6BMKDdRNa7ysUClYUJ7CiOIFXt1Tx9Ltl/ORve8hKCuNAWRsul5tgg4YT1Sac\nLrdP465kJpKfFoHD6eZ0QzeWQQelNSasNifXrcmi0djP4YoOspPDCQrQsGhOHK9ureZQebssGZSo\nbenDLYiL3u4TrZysEfuwxuvXa2w3Y3e6CQzQYBl00NY5AGPIOp0uN+4JNlr7T7bx++cPM+Rwcde1\nhVy5cticJXMM05WZ0tRuRqNWEhcZKG8m5ufEcM/1xbiFYUmVxOKCeJ54vZS9J9toNVkINmi45/pi\nfvp3cYDp7VfO4dn3yjla2Ynd4SIhKpBWk0XuSXrkhSM0Gs0E6NQMDjkJC9Lx068sQa9Vc+9vt/D6\ntmrZUvvy5Wny/CJT77AUsMmrsnmsshNBEORrRUe3lc7eQQoyxh+m7c2eE21YbG52H29lw7K0aXyC\nw/2Pkix3SUEcVU29HKloZ9UMNjflHpmrVq2k1TTg8z4nS0vnANFhAXKAnBYXQnVTL7/+10Hauizc\nf2uJz4iKqSDZc8eEB5AeH0pT+wDt3VaiwgI4erqD2AgDafEhZCSEUOWZv6Q9g5JhNhEEAVPfoLxZ\nBu8K1tQDrL4pSAQNeg2//fpFWG0O3tlVx97SNmqa+8hKDpvwcQ6nm/t+u5nufnGdUCkV3HF1AaFB\nOjYsTeWpd8rYdaxFHnFhtTn4w4tH0WtVPHjPCgRhtAxbTPyJ502KZ206XmUiUK/G6RbYd9LIl64q\nGPc1udwCdcYhosICfD5LgLgoA7WtfRw+PVyhHKuCZeyysPtEq2wAIn3+doeL0CCtLF+V+qPrWvpY\nWjh+wHHkdAdS4bmivlt2vC3Jj/UY8dgpyY9FrxveNl+6JBWDXs2j/z7CE6+LlUCNWsn1a7LYtLeO\nlz6qRBDEhEGCR2nhXTl+4rUTnKg2sawonvtvLRlzLdiwLI3XtlVjttrJTArl1g157DzWQnu3lbhI\nA6lxIew/ZeRYZSfzc2N4fVs1tS19rFuUTE7K7KzbEpGhAVw03y//myz+Cpafzzzzc2P4xwOX8Ltv\nXHS+XwoAqXHBqJQKSmtMuNwC99xQjEatIsezUPaah9BrVSwpiCM9IZQVcxPkxxZnRfM/X1mKWqXg\nje01DDmcXH1RBjevz+W+z82dtTkTcREGnC5xtbntivxZC0yVSgW5qREUZkZx47ocbHYXR053EBGi\nG7Upy00NR6NWsuVQE3anm8uXp6FUKshKDpMrkePJA8fi+ouzuHZVJi2dA2w/2oxWo+J7ty5k5bxE\nBoecPtURGJYHpieEMjdbrKYdKm9n51FRTrhqXiK3XzkHnVbFynkJ8ms26NVjuiVK/XXZyWEUZkRi\nttrZcayF3z13iH++dXKUfFEyPFnuyUKOJemy2Z3c+eCHfHhk9Aak1zzEoy8c4cGnDuAW4Ie3LeKa\nVb4uUgnRQQQGaDhW2TkrPV5Wm4P7/7SDB5/cDyCPMUiMDsSg14wKrgCiwwPISg7jRLWJzp5BirOi\nmZcTTX5aBGnxISwrjGdBbowsNVwxNwGFQqx22OxiVTAiREeATkV0eAC/vm8F2cnhJMcGs3hOHBUN\nPew7aSQzKZTs5DAiQvUoFL49WM2eJn2dVkV3v83HFe0vrx7ngb/umpREs29gSK407jg6/R4h2cDF\nU72TZEkzlQlW1Hej1aiYnxuDze6iZ4ozdgaHnHT323w23JKD6v5TRhqNZl7fNn1TGamCFRNukGfZ\n1bX2U17fjdXmpCQ/FoVCQWZSGC63cM5nZQ0MOhiyu2SDCxgeXm+ZxrDhqfRggTgepDgrmjWega1S\nP+NEnKwx0d0/RFp8CHOzo7jjmgJ5nVi9IAmFwndUwsnaLlxuAYvNyZvbawDx9zse3mvO4oI4FuTG\n0NI5MKGzYG1LL4N2N/NzoketLZLJ0tHTnahVSqLDA0bJ4u0OFw8/cxDLoIO7NxahVil91oLirGg5\nWJHOzzMNrj7kMXNSKKCivkdWD9y0PkcO4qXfoTcr5yby+2+u4stXzeFndy3lmf+5jC9fXcBlS9Nk\nZ8nE6CDCgsVrlJR0OlbZweaDTWQmhXL/rSU+yT2fzyMyUDaquGxpGiqVkls35BERouP7Xyzh85eI\ncu/XtlWz7Ugz//7gNOHBOr5yTeGE79fP2cdfwfJzQTBbA4ZnA41aRUpcMHWt/aycmyBXOuIiAwnU\nq7HYnCwtjPfJlHkzNzuah+9byZHTHVy6JPWs6J1jIwOBTpYVxZObOtppcDa4dEkqr26pwtRnY0Fu\n7KiFVqtRkZ8WwYlqE1q1kks8szzUKiX5aREcq+ycUoClUIiZ20X5sUSFi83PCoUClVLJpj31HKvs\n9KlSSFnTtIQQosMDePGj0/z++cMoFWJgl5kUikKh4PlfXI7W42apVikpyoxi/ykjxi6LjzGIZHCR\nlRzGkN3F1sPN/O/zh+Xb39heQ1iQjohQPRtXZ1LlkX2unp/ERwcax5QINrT1090/RKXg67K172Qb\nf/rPMcxWOxmJoXzj8/PkHg5vVEoFK+cm8MG+Bo5XdY47XmCybD7YhMXmxGI0Y7baR83QGY+lhXFy\nQDnXs+l66N4VCIKASqVkfl4M73jkqoUZUWw51ERHj5VGoxm3AMuLE7jr2iLcguCzUbluTabcO3H5\nsnQUCgVqlYLwYL1PwNTkaURfW5IsnwspcSG4PW57bkEMICTXtPHwDtJP1pro6huUB6h394v9KZPJ\nKktObHGe8zstXjwHD5e3j6q0ThbLoGisUpARSXJsMPtPGWntHJhS1Vs2lvHacK9fkgoKyEkJ55F/\nH2HXsRbuuraQIMPU5cqS7DM6PEC27n5je7V8DZJ6Srwrr7OdpZ+Ikf1XMPkKliAIvL2zloKMSPm3\nKJkThUyiB8ubBbkxaDUq9pxo44uX5zMw6KDRaKbHbCM3JYLo8OHXJwXld20spDgr2uc4kaEBzM2O\n5lhlJ62mARKigmSZLohydZj495sSNxxgLStKwGpzsLe0jf2njOMm/KQE1Pyc0dcb6Zx3utxkJYUS\nHW5gb2kb3f02+bf01DunqGnuY/3iFHldCAvSyVVsqf8KRFVHaJCvW6rN7qS100JIoFa2nT9c0U5U\nWADRYQGcbujG7nShUUuGDwnsOt46bi9yekKoXCmT2Lg6k3d21eF0uUmKCUKhUJAQHUST0YzV5uAv\nrxxHqVTw9RvnjemG7M0dVxeQGhfM2hJR2r1mYTJrPDJvQF4Pj1V2olDAfZ+bO63fn5/ZxV/B8uPn\nPLC8OIHYCAN3byyS/yZVZ0DMLE5EZlIYN67LOWvNpIvyY0mICuS2K/LPyvFBDKC+sEE0HJAqQCOR\nNOmrFyQR7LVgSPbwUwmwQPyM5+ZEkxgdJAd0co9VpW/TfH1bP1qNirjIQHJSwvnJHUsozIzELYju\nWdLjdRqVT3AouTOOrGJVNfUSGKAhPjKQuTnRaNVKYsID+MmdS/j+rSWU5Mdi0KtpNJp55N9H2Hm0\nBbVKyZyMCEKDtGNWsKQ+gW6zU5a0/POtk/zqqQMM2Z185dpCHvnmqjGDK4l1JeIGZcvBqQ38HYnb\nLfg4alU29tBmGiDYoPX57sbCW7ojbY7UKiUatZg5LsoUXSVBdLSKCTfQ1WeTg9b0hFCUSsWowKMg\nI5KCjEjCgnSs9pK2RIXp6eoblN3OpGz71R75pNSH1dI5IJsX7D955r6Ssjqxry4vSY8gDI9g2HW8\nhXt/s5n7H9s54Zw0CTnA8mTzFQoFS+bEYbGJ7mCToaffJrqPeXqjTjf2IAjiZmwsudJkGCtgDtCp\nueaiTPJSI9iwNBW7083Ww83sPNrC1x7eLFduJ0NHj5VggwaDXkNhZhTLi+Mpq+vm7Z01aNVK+Xog\nnc8153jwbucYAZZknDSWi6A0xgHEYPAfb57k6XeHRwVIPVjBgVNLAOp1ahbmiZWi17ZWc+eDH/LD\nv+ziN88c4rfPHpTvJwgC+08ZCQrQUJA+tsRV2rRvPSQGU0crO9FpVaTFh8gmEwkTXGcjQvQEBmjQ\na1UsyIth0Zw4lAoxyTOSrr5BXt5cyXueZElx9ugxH/FePbWZSWHyeBLpWtfebWXTnnoSowP56vXF\n8n0VCoW8Hkj9V9LfM5PCaO+2ygPef/2vg3zzkW18+ZcfcvsvPuDZTeUMDDpYlB/LnPQI3IJor54a\nF4xapeSeG4p5/Adr5QBvMkSGBnDFijS0aqXcB5YQFYTd6eamH72HscvKxlWZE16bJZJjg/nSVQXj\nmlN9+aoCirOiuHl9Lo9992KWTCCF9HPu8Few/Pg5D9y8PpebLskZVbW5cV0O6QmhzM+JHueR54bF\nBXFjyiFmm0sWp7IwL9Zntoo36xen0NRu5qb1uT5/X1uSTEVDNxfNnbkePDBAQ05yGJVNomNhYIDG\nYw1sJiMxVDYakT6Tfot9TKmbxPxc8bs7Wtkh9+CYrXbaTBbmZYvVmZhwA39/4BKCDMPN8pK2va61\njx89vhuz1eGZ9aYiISqI0409o/vEvGQvtS19RITqeWN7DQlRgTzwpcWytf9E5KWFkxAVyN6TbVht\njmlXe49WdtBqshATYaCj20pZXTfGLivZZ+gRAbGPIz0hBJdbGHNwdIBOzVUrMzBb7QQZtMSEGyiv\nHx5CmjEieyyhUCj4n68sxe5w+VSEo8ICqGzspc8yRHiwnuZ2M1GhepJjg0mKCeJkjQmH0+Uz+Lu0\nxiSfH+NR0dCDUgGXLgijsrWdt3fVse+kkVO1w4YmlQ09xEYYeHd3HW/tqOGBLy+W+0UkjF1WAnQq\nH9Oa5XMTeGd3HbtPtI47YsGbV7ZU8dbOWpxON1euzJADxLy0CDkoaJ2EcYrL5aa2tY/s5PDhobPj\nVDTWlqTwrMchtM9ix+0WeHVLNT+8fdEZn0cQBDp6BknysoD+2vXFlFZ3YbbaKcmPkX8rKZ6N72z2\nDk6GsStY4nnVaDTjcLrkpEB3v42vPfwx6xenctfGIk5UiYHx6YZuXC43KpWSfqsdnVaFXjv1rdjy\nonj2lrbx9Ltl6LQqrluTxZGKdioaeuTKaU1LH6beQdYsTEI1TtVzWWE8AToVm/bWcdG8BJrazSzI\ni2FBbgz/9+ZJ0dBkggBLoVDwzZvmA2KySadRkZMSTmVTL4NDTtkMyGy1850/7KC73yaO5MgLGjNB\n6F31z0gMJTxYXBvqWvsoyY/l1a1VuNwCN63PHRVw3Lw+h/rWfp9jAFy+LI0jFR289HEVly1N5UhF\nBylxwaTGhXCgzMirnlmJJXNicbmGpYhSVUqvVU/rO7rz6kJuuiRXloCuLUmm1TSAQachLSGEWy7L\nPcMRJkd+egS/umfFrBzLz+zhr2D58XOeGKuvaW52NHdeUzjuYvhZZLzgCsQs4P23lsjOexJRYQH8\n9M6lZ5SeTZZ5OTGemU3lbD/SzGMvHcPpEkiLH71xDwnUjmtMAaK7WkyEgeNVJrmv6YN94uwv74xt\nZGjAmBnJ9IRQfvHV5USE6FjmyUQmRAfidgujqh/eAVZVU69cNbtuTdakgisQz8O1JcnYHS52TcP6\nGcTN8RvbxH6N+z43F4CdR1twuYVJfUeiJHAlv7lv5bj9fndeU8i3bl4AQEyEuME9XtUpO9mNR4BO\nPWojF+XJRJt6B7HaHJj6bCR55Ewl+bHY7C6OVXbKNvkl+bE4XQKHK8afceZwuqlq7CEtPpSIIDXz\nc6I9gWYXRZlR8uciWfVvPdREq8nCT/+21+d7FQQBY5eF2IhAn89iTnokYcE69pxom5RjX7nHEe0/\nH1dS19rHB/saiI8MZH5OjE8Fy9hl4V/vlo0rcftgfwPf+cMO9pxoHR46O86GOyxYx9LCeHrMQ2jV\nYv/M/lNtYw5XHUnfgB27w+XzWw8P1nPP9cUoFKLTqoRapSQtIYT61n558PRUsHtmEI5Fg7Gf//7r\nrjGHTo8cMgwQE2EgUK9mb2kbdz30sTzA98ApI4NDLrYdacblcnOiWvxtDg655H6gfov9jLMLx2PR\nnDgCAzREhup5+L6V3HF1AZcuTZWfG2D/SfHfJRMky/Q6NTeuy6FvwM4vPb2T83OiWTU/EaVSTAZJ\nQeN4LCuK93Gsy0+PxO0WfKqXf3+9lO5+GxtXZ/Lczzdw2YKxEy/RYQE+7rlSD1V9az9dfYN8tL+R\nuEgDq8YYj7KsKIFbLssb9fclBXGkxYew81gzj792AoBv3jSf73+xhMe+ezHzsqNJjg0eZegkVZ6m\ni1LpOy+yJD+WP3x7DQ/du4K7NxZNK2jz8+nhwtnF+fHjx884LCmMQ6GAd3fX8fvnD7PlUJMoK1sw\n9QqZQqFgfk40lkEH1U092IacvL6tmkC9WnbqOhNZSWE8/dPL5AZmyVTAu+IgCAL1rX2yTXRNc68s\nc5w3xQqoZNu+aW/9pK2fvfnXu2Ucq+pkbnYUC3JjiIs0yEYNCRM0yHsTFKCZdN9ATLi4CXc4xf6G\nqTrJSRUIU6+NZk//ldQvsqJY3MjvLW2jsqkHtUrBLZeKmWZpwwrw3KZy7vnNZnnmWW1LL3anW96g\nff3z8/jBbSU88z8beOjeFazyVCirm3ux2Z1UN/cSoBNNNX7yxB5ZvtQ3YMdmd42qGqiUoiOm2Wr3\nGQMw1oy0IYdL7jnpMQ/xo8fFeWC3XzUHjVrp03D/hxeP8sqWKl7bOrY5hSRJ/OhAI62dA6iUCmIi\nxh+NcNP6XAoyIvnJnUvYuDoTp0tgy6EmXC431U29455fkiukd/8QiJXdZ/5ng3yOSmQmhsqV5sni\ndLl5blM5N/73O/IICm/qWvt44K+7OVnTxb8/qBh1+1gSwWCDlsd/uI7r1mTR02/jybdPAcgBWr9F\n/L68q5iSlLTfYp/SwHZvAgM0/OX+i3n8B+vkGUtLPeM09p0yIggC+062oVYpz9hbuXF1FkkxQbJ7\n5dzsaMKD9Xz7lgV8zUuGN1nyPb8BaVbh3tJWth1pJicljC9dOWfC37lKpSQmwoBSIfYexkYYMOjV\nHK3s5MEn9+N0ufnc2pwpJSEVCgU3r8/FLYhy4CUFcXLvXnxUIL/82nL++v216LVqwoP1chV9ZF+V\nHz9TwR8++/Hj54InKymMfzywntqWPtq7rWQmhTInPVLOpE6V+bkxfLCvgZc3V5ESF0y/xc7N63Mn\nlBaOxLt6IUmyWjotSGKrzp5BLDYnK+YmcLhcDAbMFjtxkYZREpkzERNhYHlxPHtOtHHglHHSGv4B\nq53Xt9fw6tZqEqMDuf/WEgByUyLkzdp4crKZIAVYAOljVBnPxHCANShXbpI90rSclHAiQvTsO9nG\n4JCLtPgQspPDiIkwcKiinSGHCwXwzq5aLDYnxys7WVIYL1ugi+YMHUSGBrDSS8Jq0GtIjA6iprmX\nysYeXG6By5amEaBT88KHp/nOH3dw7w3FcsVvZNUWRAfFdz0ywYzEUN7fV897u+vp7rdxy6W53Lw+\nF6VSQU1zLy63wNqSZPafMmK2OshPi5AdKcV+lSCfxv+3dtZw9UUZo6p9lR6Z5JHTHeg0SmIjDBOa\nbKTFh/DwfSsBcYP69DtlbNpbx57SVk439HDvDcVjJhqk1xIbPvp9Szb73oi9Kw2crDFNWGloNQ3w\njzdO0tnVg3vzNjkge2dXLVeuSJd/Z509g/zo8T2YrXaiQvVUNfXS2jngU4E19Q6iUEBkqG/VPTxY\nzx1XF9DUbuZQeTs1zb0crxJd8JwuN89sKsdmd7EwL4bDFR2U1XVz6ZJUhuyuKRtceDOyJygmwkBG\nQignqky8vq2a+rZ+lhXFn1H2q1Er+dr1xfz4iT2EBelkyeqaM/QCj0eex6CkvL4bl1vgH2+eRKNW\n8q2bF0wqMLrtinyPm664RS3MiOJAmRGz1U5y7LDZw1RYVhRPSlwwjUaz3Ps7HkuL4tl6uGnGFSw/\nFzb+AMuPHz9+EDe0Y21qp8PC3BgyEkPZf8rI/lNGDHo1167KOPMDx0GqAu050cr8nGhS40NkeWBG\nQiht7V3UGsWAZuUY0pnJ8IXL8thX2sazm8rFRvVxgkuny82R0x1sOSQOI3U43USE6PnF3cvlzXlO\natiwA1nUWQiwIoY3lhmJU5+5JEkEu/oG6fLEGJJEUKlUsKwoXq5wZKeEo1AoWD0/kZc3V7HjSLM4\nm8xjfnGgrJ0lhfEc9VQP89Mjaa7rYCyyksTPRbLFnpMewbKiBFLjQvjTS0d59IWj5KSI1Yix+l4k\nmeDWw+IxHE43ATo1ESF6XvjwNLUtffzgtkWym+HCvBgyE0N5+t0yvnJtoU/QHh8VSG1LH1q1ksuX\np/Pmjhpe21rNl68enl/Uax6io9uKUqnA7RYYHHJRkDH57zPYoGVFcQLbjjTLAffbu2rZsCzN57W4\n3AJvbK8Re3OKxja8GcnC3Bj0WhXPbCqnMDOKIIOGrYeaWLcoRQ6gjV0WfvTX3Zj6pJlndtYsSMJi\nc3CwrJ3q5l6yk8VKxtPvnsJstXP3xiICAzQ8+sIRth9p9pGcmXoHCQ/WjRtgri1J5lB5O39+5Tg2\nu4urVqSz9XCT7JB56ZJU6lr7KK/rksc9JMbM7u9jSWEcta19PPVOGcEGjY+R0kTMzY7mnhuKCQ/W\nTyiBngxSFaiioYdjlR109gxy2dLUSY8RWTmit/aHty/C1DtIYIA46mE6r0+pVPCTO5bQ0WM9Y2Xq\nS1fO4YuX55/R3c+Pn4nwnz1+/PjxM8vodWr+95uruPOaQkKDtNxyad6MbHOTYoJIiQumvL6b//f7\nrTzzXpmPjXx8xPCxx7I+ngwpcSGsWZhMg9HMDk9wNBJBEHjgr7v55T/3s/t4K3GRBm7sEA4yAAAU\nJUlEQVS/cg5//M4aH9lYnpe1/1SdHidDtFeVI20aMh5pA97ZO0hlo7j5TY7xtpseruBJ8+muWJ6O\nSqngrZ21bDsifj5ajYoDZaIl/9HTHeSmhE8YpGcli691+xFxc52fJjq7rZibwKPfXk1idJD8eiQH\nQW9USgVrFiRhd4izmO7eWMTTP72Ux753McVZ4niAjw40yAFWbmoE16zK5MUHrxhlZy6ZSVx/cTa3\nXZFPVKied3bX+fSDST00ly1NlTe1k5V8SnxuXTb5aRF8578WsGp+Ik3tAz5yOYB9pW20dA6wtiR5\nlERwPGIiDHznvxYyZHfx07/v4Z6HN/Pc+xX84cUjCIJAd7+NHz0uBle3XzmHn96cyCsPX8V3v7CQ\nDUvTAOTvsbyumx1HW8hODuPKFeksLYxDq1Gx7UizLGl0uwVMvTYfeeBIlhSIfVFSQLW0MJ5FnjEc\nCoXoipqfHkl3/xD/fPsUWo2K69dkTenzPBPejpzfuGn+hK93JFcsT/c592dCXlo4lkEH//K4Jkp2\n6tNBoxbnXJ2p//VMxEUGjrKqHwulUuEPrvzMGP8Z5MePHz9nAbVK6WnovpyNqzPP/IAJ0KhV/Om7\nF/OjLy8mPjKQlzdXyVWQtPgQEiJECZC0iZsu/3VZHmqVgsdePs4H+8R+LNuQU95k1reJQ1/z0yJ4\n5Fur+Mv9a/nc2uxREq70hBDUKiWRoXrZRWw20WlU8nNKTfBTISJEh1IhmgGU1pgoyIj0cewrzIiU\nreWzPYFJVFgAK+YmUN/Wz97SNlLigrloXgK95iH+8vJxBAEuX5424fNKvTJOl5vE6ECfzy0hKojf\nfeMiCjIiUasU8qDdkXzx8nwe/fZqHv/BOq6+KAODXkNIoJbvfWEhGrWSV7dUUV7fTXiwjhhPsDJW\nj9qVK9K5e2MRN67L9oxMyMfucPHjJ3bT6Rn4KwV7i+fEyX08U5V8psaF8NuvX8TFC5O5wiMN3LSn\nXr5dEARe2lyJQgE3rM2e0rGXFcVz64Y8+gZEd8mMxFCOV5nYfaKV3z57iI6eQb6wIY/Prc1GqVTI\npjLzc2MINmjYcbQFy6CDf7xZCsBd1xahVCow6DUsKYij1WSRTUn6BoZwutwTBixajUo2XwjQqZmT\nESkHLBmJoQQbtMxJF5MPlkEH163OnFIANBnSE0JYszCJL2zI8wm2zjX5Hlv4utZ+kmODyT2H88r8\n+Pkk4JcI+vHjx8+nAJVSwdLCeCJD9XzvTztpNVkIDNAQHRZAgqeClZkUNu2meRBlkv99+2IefeEI\nf375OH9/4yR2h4tlRfE88KXFHCwTG/evWJEuS6vGQqNW8fXPz0V3Fl2yirOiaO+yyjbOU0GlUhIe\noqerz0aATs23bp7vI1lTqZTcuC6bkzVdJHlVtq65KIMdHmnXmgVJJMUEs/lgE8eqOgkK0JxRnpmR\nGIpCAYIgyv1GEmzQ8tA9KzBb7ePOuNNqVHKg5k14iJ5Ll6TK0salhXHjOjKCKOO6+qJh2eoli1Po\n6LHywoen+dHju/nN11dS6algZSeHcf3FWbR0DkzZQMWbOekRpMQFs6e0lQef3M/phh76raKd+8q5\nCdPq1/v8JTnMy4kmNS4EU98g/+93W/n9c4dxuQWWF8dzk8coxhuNWsnKuYls2lvP7b/4gCG7i1Xz\nE8lPH668rlmQxM5jLTz9Thk/uXMJT74jmlecSV62blEym/bWsyA3Bo1aycL8WBbkxsizDaXvPSxY\nx/UXz271CsT+uu/+18JZP+5UkQZFgzhuY6Jz0Y+fzyL+AMuPHz9+PkVkJ4fz+XU5vPjRadLiQ1Ao\nFIQHqblrY+GYG++psrggjj9+dw1/f72Uzt5Bes029nokXIfK21EqxN6eM7G2ZPqSoMkgGWpMF2lY\n8deuLx7TFOS6NVn8//buPyjKet8D+HsXCGH16CLuggmYnBRNuAdUTgyjjfegiWe0kR+ygCx1vOXE\nlXTM8kdhMVkaZeZQ3hs14yQNg2LK6GiWF8vJiR+iaWWhCSmCLIrgCLGist/7h9OTCLv77LIc1sf3\n6y9399nPPsvb7+73u8/3+T4L7pm+NSHED2EhWpytb8OMyDEYrnkIXp5q3LptQVx0sNULgf7Bd4gX\nRvsPReOVjh4d0Lup1SqnLyCeMPOvOFh+Ht0WgQkhfde3Je3JMHRbBHb+31nk7zyJX+vbEDDSF8OH\neiN8qDcK1sQ5tV9/UKlU+GfsI/ifz39A5WkTdFofTAjW4i+ah5Dh5EXNVSqV9F7H6IZh3vRxKD1S\ni0B/DV5YGGm1Yx8XHYyDFefh7eWBxD6ynjJRj+hJAaj62YT/zjuMy21mTAjW2p3SNyHED6/91+PS\nkVVvLw/kPhcjPT5u9HAk/+NRRPzV3+lrzt0PgvXDoBniiRs3u3utAEn0IOAAi4joPpMyazw6zDcx\nJUwv3Td/ev+mId5Np/XFq//6O4A717PK+6waOw6dQc2FO9MDh/XjfDJ3kTF3IupN7Zg5xbGV0lZn\nTsOVNrN0rlXUBB2O/dIsXVTankmP+KGppQOTQ52fymmNTuuL/5wahENV9Zg8rvcRMjnSnwzDmQut\n0tFKZ8/ps2bO42MR4KfBGN1Qm8u9OyvtyTBofLww428P27wo9PhgLf539T/g95chfV6PyEOtwurM\naXh7+zFUnjbBf4QPXnkmWtYlAaZO1Ft9TK1WwTh3krw3cx9Tq1XISvoP3Lpt6XMVSCKl4wCLiOg+\n4+mhxpIFjl+fxhmPhwdKK9cBkE7av9+Fh/oj3IlBzsjhPj2Wx85e+DdcuWaWPb3tX/Mew5yYsQOy\n+AcALEmIwMypQdJS2Y5Sq1VYlhKF7HcP4/cbt6Vz0FxFrVYhSsYRUGf5eHvCMGuCrG3trXDp5anG\nKuM0fFV5AVETdDYvik69zYh0bpl3IiXgIhdERGSVl6cas/8eIt2eZuPX+QfR8KHeDk3NHOr7UK8V\n/VzJ28vDqYHj3UZpfZCdEgmd1gfRkx7svL081fhn7CMDNiAmImXiESwiIrLpycdDsKvsLPxH+CA4\nQN61bOj+FhsxGrER8q5JRUREPXGARURENum0vljzdDSGa7y5GhgREZEdHGAREZFdg3lNHSIiovsJ\nz8EiIiIiIiJyEQ6wiIiIiIiIXIQDLCIiIiIiIhfhAIuIiIiIiMhFOMAiIiIiIiJyEQ6wiIiIiIiI\nXOSBWKZ9w4YNOHXqFFQqFdauXYvw8PDB3iUiIiIiIlIgxQ+wjh07hgsXLqC4uBi1tbV45ZVXUFxc\nPNi7RURERERECqT4KYLl5eWIi4sDAISGhuL69ev4/fffB3mviIiIiIhIiRQ/wGppaYGfn590W6vV\noqWlZRD3iIiIiIiIlErxUwTvJYSQtd3x48cHeE/IEczDvTAP98NM3AvzcD/MxL0wD/fCPFxL8QMs\nnU7X44jV5cuXMWrUKJvPmTJlykDvFhERERERKZDipwjGxsbiyy+/BACcPn0aer0evr6+g7xXRERE\nRESkRIo/ghUZGYnHHnsMBoMBHh4eWLdu3WDvEhERERERKZRKyD0piYiIiIiIiGxS/BRBIiIiIiKi\nfxcOsIiIiIiIiFyEAywiIiIiIiIXUdwAq7OzE5mZmWhvb8fNmzexatUqJCYmSo/fuHEDy5cvR0ZG\nBlJSUvDNN99YrSWEQG5uLtLS0pCSkoJdu3ZJjx04cACRkZE4d+4cAODnn3/G8uXLB+x93c/6yiQp\nKanXdl1dXZg1axZKS0tt1vv000+RnJyM5ORkFBUVSfczE3nstZGqqirExMTAaDQiIyMD69evt1nv\n0qVLSEhIQF5eXo/7mYfj5LSVvXv34qmnnkJiYiKOHDlis9692VgsFixevBhNTU0D9h6UwJU5NDY2\nIioqSmpPd7cBthF57H1m7dq1CxkZGdLfOCoqSlbd1NRUfPDBB9Jt5iGfvUw6OzuRnZ0No9GI1NRU\nHD161Got9rX6z14eQgisW7cOBoMBRqMRv/32m8167Gf1n+IGWPn5+UhJScGwYcOQl5eHiIgIqFQq\n6fHDhw8jPDwchYWF2Lx5MzZs2GC11okTJ+Dl5YWioiJs27YN7733HgCgsrISFRUVmDhxorTtpEmT\noNPppCXh6U99ZdKXrVu3YsSIETZrXbx4EXv27MHOnTtRVFSETz75BB0dHczEAfbaCABER0dj+/bt\nKCwsxKuvvmqzXk5ODqZPn97jPubhHHtt5dq1a/jwww9RXFyMjz76CGVlZTbr3ZuNWq3GypUrkZub\nOyD7rxSuzmHcuHFSe3r//fcBsI04wt5nVlJSEgoLC7F9+3a88MILWLBggd2aO3fuxO3bt6XbzMMx\n9jLZs2eP9P9+y5YtePPNN63WYl+r/+zlUVZWho6ODhQXF2P9+vXYuHGj1VrsZ7mIUJCuri4xc+ZM\nYbFYhBBCdHZ2ioaGBpGYmNjn9seOHROZmZmyatfX14v4+HiprhBCLFq0SPz666/SNhcuXBCpqan9\neAfKIzeT2tpakZ2dLfLz88WePXts1uzo6JD+PXfuXGEymZiJTHLyqKysFNnZ2bJrdnZ2it27d4u3\n3367x31CMA9HyMlm//79Ijc3V3bNvrIRQoi0tDRRX1/vmh1XGFfn0NDQIBISEnrdzzYij6Pf65mZ\nmaKlpcVmzdbWVmE0GkVJSYnIz8+X6grBPOSQk8mBAwdETk6OEEKIs2fPirS0NFm12ddynJw8Pv74\nY7Ft2zbpdnx8vLR9X9jP6j9FHcH64YcfEBYWJo3afXx8rG5rMBjw8ssvY+3atXbrLlu2DGlpadI1\ntKzVDQ4OhslkQldXlxN7r0xyM8nLy8Pq1atl1dRoNACAo0ePws/PD3q9npnIJDeP2tpaZGVlIT09\nHd99953Nmn3VYB6Ok5NNY2MjzGYznn/+eSxatAjl5eU2a1rLYerUqaioqOj/TivQQOTQ0tKCZcuW\nITU1Ffv27bNaF2AbuZcj3+s//vgjAgMDMXLkSJs13333Xbz44ovw8PCQ7mMe8snJJD4+HiaTCbNn\nz4bRaJT1/c6+lnPk5PHoo4/i22+/hcViQV1dHZqamtDW1ma1JvtZ/aeoCw1fvnwZAQEBsrYtLi5G\nTU0NVq5cib1799rcdsuWLbh06RIWL16Mzz//HL6+vla39ff3x5UrVzBmzBiH9l2p5GRSWlqKadOm\nYfTo0QDuzBW25+TJk3jnnXdQUFBgd1tm8ic5eYSEhGDp0qWIj4/HxYsXYTQacejQIXh6uubjgnn0\nTU42Qghcu3YNW7duRUNDA4xGI77++muHX0uv18NkMjm7q4rm6hxGjBiB5cuXY/78+bh+/TqSk5MR\nExMDf39/q/XZRv7kyPd6SUkJEhISbG5TXV2NIUOGICIiArW1tbLqMo+e5GSyd+9eBAQEoKCgADU1\nNcjJyUFJSYnN57Cv5Rw5eTzxxBM4fvw40tPTERkZCZ1OZ7evxX5W/yhqgAWg17kk9/rpp58wcuRI\nBAYGIiwsDN3d3WhtbYWfn1+vbevq6iCEQGhoKEaPHo2goCDU1tYiPDzcan05g4MHjb1Mjhw5goaG\nBnz11VcwmUzw9vZGQEAAYmJi+tz+jw/rgoIC6PV6u6/PTHqyl4der0d8fDwAICgoCP7+/mhubsbD\nDz/sktdnHtbZy8bf3x+RkZFQqVQICgqCRqOx+vlFznNlDhqNRjonSKvVYvLkyairq7M5wGIb6cle\nHn+oqqqSjn5YU1ZWhu+//x4GgwFXr17FrVu3EBwcjPnz51t9DvPozV4mJ06ckM7/DAsLg8lkghCi\nz+exr9V/ctrIihUrAAC3b99GaWmpzSO97Gf1n6KmCOp0ul6rYwkhegRfXV2Nbdu2AbgzbcNsNlvt\nnNTV1WHz5s0AALPZjPPnz/cand/7n+rq1asYNWpUv9+LUsjJZPPmzSgpKcGOHTuQnJyMrKwsq4Mr\ni8WCtWvXIj8/H4GBgX1uw0ysk5PHvn37pJW1rl69itbW1n59wDIPeeRkExsbi8rKSggh0NbWhs7O\nTlmDq3szaG5uln1U4EHj6hwqKyulTr/ZbMaZM2cwduzYXvXvxjbyJzl5AHd+xddoNHaPtK9atQq7\nd+9GcXExsrKykJSU1GtwxTxsk5NJSEgITp48CeDOlFpfX1+rgwD2tfpHTh41NTXSglUHDx5EdHS0\n1XrsZ7mGoo5gRURE4MyZM9KvJM888wxMJhOampowb948PP3000hLS8OaNWuQnp6Orq4uvPbaawDu\nrHgzbNgwxMXFSfXi4uJQUVEBg8GAW7du4bnnnoNWq8Vnn32GHTt2oKGhAUuXLkVoaCi2bt2K+vp6\nBAQEwNvbe7D+BG5HTiZ3LyV6t74yKS8vR2NjI9atWyfVfOmll3Dq1ClmIoOcPOLj47FixQqkpqZC\nCIHXX38dnp6efeZhMpnw7LPPor29HV1dXTh69Cg2bdqEqqoq5uEguW1l9uzZWLhwIVQqldRxdySb\n8ePHo7q62mq7e9C5OoepU6eitLQUycnJUKvVWLJkCXQ6Hb9HZJKbx5UrV3r9It9XHtYwD/nkZGIw\nGLBmzRpkZGSgu7sbb7zxBgD2tQaCnDwSEhLQ3d2NhQsXwsvLS1qpkf2sAeTaNTMG38aNG8X+/fsd\nft65c+fsrl5nz1tvvSW++OKLftVQImbiXpiH+/p3ZPPLL7+IJUuWOPwaDxK2EffCPNwPM3EvzMP9\nKGqKIAAsXboUJSUlaG9vd+h5ZrMZM2bMcPp1a2pq0NzcjDlz5jhdQ6mYiXthHu5roLOxWCzYtGkT\ncnJynN3FBwLbiHthHu6HmbgX5uF+VELwzDQiIiIiIiJXUNwRLCIiIiIiosHCARYREREREZGLcIBF\nRERERETkIhxgERERERERuQgHWERERERERC7y/zKfkRWIjqkWAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "avg_minute_volume.plot()\n", "plt.ylabel('Volume (USD)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### High Equity Volume After Market Open\n", "There tends to be high volume right after market open. This is due to a variety of factors including people wanting to update their positions based on price changes and new information that emerged before trading started. Since there was a ton of time and possibly news overnight while the market could not react, trading right after the open can be a bit volatile as pricing adjusts.\n", "\n", "### High Equity Volume Before Market Close\n", "There is a similar effect at the end of the day when people want to get in their final orders before trading closes and they no longer have the chance. Again there are a variety of factors that drive this increase, but the effect tends to be consistent." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### Modeling Volume\n", "Volume can change a lot, and summary statistics such as mean volume may not always be representative. Model it as you would any other quantity and pay attention to whether your volume forecasts or measurements are useful. We do not discuss any specific models in this lecture as the models are often specific to the markets and instruments being traded.\n", "\n", "As with any other model, a model of volume needs to be carefully validated using rigorous statistics. As a rule of thumb you can expect more volume at the start and end of day in the US Equity market, but this will vary by equity and day, plus there will be shocks and half days. In practice you should apply just as much care as you would trying to model returns. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What is Slippage?\n", "Slippage occurs when large buy or sell orders drive the price of the market up or down respectively. Remember that for every share bought, a share must be sold by another party. If no parties are selling shares, buy orders will not be filled. This is a simplification of what actually occurs as there are complexities around issues such as bid/ask spread, but we will not consider those here. To understand why price shifts happen when large orders are placed, consider the following scenario:\n", "\n", "1. Person A places a buy order for $1000$ shares of stock X. Currently trading at $100$ USD / share.\n", "2. There is only one sell order for $500$ shares.\n", "3. The broker fills $500$ shares of the order at $100$ USD / share.\n", "3. There are $500$ shares remaining to fill. Other market participants notice that there is demand at $100$ USD / share, so they increase their sell price to $101$ USD / share.\n", "4. Another sell order gets placed for $500$ shares at $101$ USD / share.\n", "5. The broker fills the remaining $500$ shares of the original order at $101$ USD / share. Closing out the process.\n", "\n", "As you can see, the large order for stock X was not immediately filled, and the demand pushed the market price against the original order, resulting in a fill price worse than expected. The opposite occurs for sell orders. In general, the larger the order, the more slippage will be experienced by a trade.\n", "\n", "### Complications with Forecasting Slippage\n", "Modeling slippage is not trivial and is the subject of research by professional quantitative teams. There are different parameters and the behavior of slippage varies across markets and instruments. Things like the bid/ask spread will influence it. Although we will not get into any specific slippage models in this lecture, info on Quantopian's backtester slippage model can be found [here](https://www.quantopian.com/help#ide-slippage) and some more in-depth research on it can be found [here](https://blog.quantopian.com/accurate-slippage-model-comparing-real-simulated-transaction-costs/).\n", "\n", "### Why is this Important to Quantitative Strategies?\n", "Quantitative strategies often rely on finding small but consistent edges across many instruments in a market or multiple markets. If the amount of profit you expect to make off of each trade is very small, slippage can eat a significant amount of that profit. Quantitative strategies rely on executing orders as they have been defined, so anything that counteracts the orders can break the strategy.\n", "\n", "### Where is Slippage Worst?\n", "Slippage is often worst on stocks with very little volume. Some egregious offenders are small and micro cap stocks. They are very low volume and develop large inefficiencies, but when you try to trade the inefficiencies you are unable to due to the lack of trades on the other side of the market. If you wait long enough you may be able to fill your order, but in that time you will suffer a lot of slippage." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What is Liquidity?\n", "Before we can define liquidity, we need to define a few key execution parameters. This is certainly not an exhaustive list of parameters that can decribe execution conditions, but they are the key ones for our purposes here.\n", "\n", "### Execution Parameters\n", "* Trade Size $s$\n", "* Market Price $p_m$\n", "* Time to Fill $t$\n", "* Realized Fill Price $p_f$\n", "\n", "### Defining Liquidity in Terms of Execution Feasibility\n", "Liquidity is a somewhat ambiguous term. There are different ways of defining it and therefore different ways of measuring it. In general it's the ability to execute large trades quickly without experiencing slippage. Another way to think about it is how easy it is to convert a held asset to cash quickly. Rather than having one precise definition, people often descibe liquidity according to their trading needs. For instance, if one regularly needs to execute trades of size $s$=100,000USD, and market $M_1$ can regularly support that with fills coming within $t$=1s and slippage or $p_f / p_m$ < 1.0001 (0.01% error), then we'd say that market $M$ is sufficiently liquid for one's purposes. On the other hand if another market $M_2$ can support trades of larger size, fill them in shorter time, or has consistently less slippage, then we would say that $M_2$ is *more* liquid.\n", "\n", "The takeaway is that liquidity depends on what you are trying to trade and how, and once you've established a benchmark you can compare it to other potential instruments, markets, brokers, or trading methods." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Liquidity vs. Volume\n", "Liquidity and volume are not the same thing. Liquidity is the important property that affects how easily we can trade. Volume is a related but indirect proxy for liquidity. In general people use volume as one of the main ways to determine how liquid a trading environemnt will be. If there is high volume, it's likely you'll be able to execute a trade quickly and with minimal slippage. If you're a high percentage of the volume, then you're in trouble. In general the higher the volume, the lower your percentage and the better things will be.\n", "\n", "Although volume is central to liquidity, one can have cases of high volume with low liquidity.\n", "\n", "### One-Sided Market\n", "A market may have high volume, but with a lot of demand in one direction. This can occur during a panic event in which case many people want to sell. This can result in large bid-ask spreads and, while trades may be closing, they will be closing at prices far away from what you would like (AKA high slippage). The high slippage indicates that this is an illiquid market. It is also more difficult to determine a fair market price when spreads and volatility are high. Momentum strategies can have higher slippage due to the fact that you're jumping into the same side of the market as everybody else.\n", "\n", "### Non-Continuous Prices\n", "Sometimes there can be large block transactions occuring in a single instrument. Imagine that a large shareholder is trying to get rid of their stake in a company. Rather than selling it on the open market and exposing themselves to a massive amount of slippage, they trade it through other routes. There will still be a large amount of trading volume, but because it's not accessible to you, any trades you place will be exposed to the same illiquid conditions as without that volume." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transaction Costs\n", "Whenever a trade is placed, you will pay a fee to the broker to trade. This fee can be based on trade size or just be flat, but is well defined and not an uncertain quantity. You will also experience slippage, which can be thought of as just another cost. Often both broker fees and slippage costs will be grouped under the term 'Transaction Costs', which describes generally how much it will cost to trade a specific strategy. If transaction costs eat too much of your profits a strategy might become infeasible.\n", "\n", "### Transaction Costs Vary by Broker and Market\n", "Because transaction costs vary based on trading environments, strategies that are inviable on a retail brokerage may be viable on an institutional prime brokerage with lower costs. Often quant strategies will fail on retail fees, but be fine for an institution. Just because you can't trade a strategy doesn't mean it's not valuable. You may be able to sell it to an organization that can trade it. When evaluating strategies for allocation Quantopian assumes trading conditions of a prime brokerage." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Why is liquidity important?\n", "Why do we actually care about modeling, forecasting, and understanding liquidity?\n", "\n", "### It's a bottleneck to trading any strategy.\n", "The final step of implementing any trading strategy is actually trading it. If you have statistically verified a mathematical model and it's pumping out target positions, that's not useful unless you can turn those positions into reality by trading in the market. Liquidity essentially defines your ability to move from current positions to desired future positions. With low liquidity you will not be able to execute on desired trades and there will be large infidelities between your model's requests and your real positions.\n", "\n", "#### There's no perfect case.\n", "You cannot completely eliminate liquidity concerns. Each instrument will have variable liquidity and there may be exogenous system shocks. As with any other quantity you can just model it and then try to trade instruments for which you expect good liquidity. Every strategy will have some liquidity drag during actual trading, but you can just try to make it as small as possible by avoiding instruments with high liquidity risk.\n", "\n", "### Capital Base vs. Liquidity\n", "The more capital you trade, the harder it is to fill trades without experiencing slippage, so the more expensive your trading will be. In general all strategies have capital ranges in which they are profitable. The upper limit is defined by liquidity constraints. Once you become too large a part of the market the slippage will eat all your returns. The lower end is defined by broker comissions and position errors. If you're attempting to trade a small amount of capital, flat trading costs from your broker may exceed returns. Likewise, if you are trading 100,000USD and place 1% of your portfolio into a single stock, you will not be able to buy precisely 100USD worth of the stock. The lack of fractional shares will result in large portfolio infidelities from your desired positions. Because trading few instruments results in [position concentration risk](https://www.quantopian.com/lectures/position-concentration-risk), trading small amounts of capital is often difficult." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Backtesting and Liquidity\n", "The purpose of backtesting is not to determine whether a model has predictive power. That should all be done at the [statistical analysis stage](https://www.quantopian.com/lectures/hypothesis-testing) and is inefficient to do in a backtester, not to mention the [overfitting risk](https://www.quantopian.com/lectures/the-dangers-of-overfitting).\n", "\n", "The purpose of backtesting is to check how robust a strategy is to real market frictions like illiquidity, slippage, and the resulting transaction costs. You can have highly predictive models that are simply not tradeable because the underlying instruments are not liquid enough.\n", "\n", "### Backtest Under a Range of Liquidity Assumptions\n", "It pays to backtest under a few different liquidity assumptions. This tells you whether your strategy is robust, or whether it will fall apart the moment you change liquidity conditions at all." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Liquidity Varies by Market, Instrument, and Broker\n", "In general different instruments will experience broadly different liquidity conditions. We'll show an example of that here." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "start_date = '2016-04-01'\n", "end_date = '2016-06-14'\n", "aapl_volume = get_pricing('AAPL', start_date=start_date, end_date=end_date, fields='volume')\n", "spy_future_volume = get_pricing('ESM16', start_date=start_date, end_date=end_date, fields='volume')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzAAAAHZCAYAAABZ3N54AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAiOEEEIIIYQYMCSBEUIIIYQQQgwY/w8T7x0aejizSgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "aapl_volume.plot()\n", "spy_future_volume.plot()\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Broad Liquidity Considerations in Equities\n", "* Liquidity will vary by market cap. Higher cap stocks experience more absolute trading volume and are more liquid. Micro-cap stocks are \n", "* Some stocks are hard to borrow/short, and may experience one sided liquidity. Longs are easy to purchase, but shorts are hard to obtain. Quantopian does not currently provide hard to borrow data.\n", "\n", "### Liquidity in Futures\n", "* Futures have much higher liquidity per instrument compared to equities.\n", "* Liquidity varies by type/class of future. Certain types of futures will be far less illiquid. We'll show an example here.\n", "* Liquidity has structure depending on expiration date. The volume of trading of a future contract will increase over time up to the expiration date. Far in advance there will be little volume as most people will be trading more current contracts. This volume effect must be considered when trying to trade futures. We'll show an example of this here." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "crude_future_volume = get_pricing('CLM16', start_date=start_date, end_date=end_date, fields='volume')" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0kAAAHTCAYAAADyG1NMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkhBCCCGEEEK08R+D4rZThE/DOgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spy_future_volume.plot()\n", "crude_future_volume.plot()\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "palladium_future_volume = get_pricing('PAM16', start_date=start_date, end_date=end_date, fields='volume')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0QAAAHTCAYAAAAH5dj8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "crude_future_volume.plot()\n", "palladium_future_volume.plot()\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Avoiding Illiquidity\n", "### Use a good universe.\n", "\n", "Quantopian has defined a universe (QTradableStocksUS) of liquid stocks in an effort to provide a nice clean starting point for people looking to develop models. You can find more about that here:\n", "\n", "https://www.quantopian.com/lectures/universe-selection\n", "\n", "### Execution Algorithms\n", "\n", "Algorithms exist that try to time orders and parcel them out into smaller chunks across many markets or timeframes. These algorithms are collectively known as execution algorithms and aim to reduce issues with slippage and liquidity. We will not go into execution algorithms in this lecture, but they are the subject of a huge amount of industry and academic research. Often firms will have a quantitative research team dedicated to developing strategies, and another dedicated to researching ways to execute the trades." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company. In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*" ] } ], "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": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 2 }