{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# IPython Notebook for turning in solutions to the problems in the Essentials of Paleomagnetism Textbook by L. Tauxe" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problems in Chapter 12" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 1a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can look at the data from within this notebook in the same way we did for Chapter 11. Let's dispense with the preliminaries: " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from IPython.display import Image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and get to it: " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 saved in Chapter_12-ps12-1a.di.png\r\n" ] } ], "source": [ "!eqarea.py -f Chapter_12/ps12-1a.di -sav -fmt png" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename='Chapter_12-ps12-1a.di.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks Fisherian to me! See how the data are pretty much symmetrical about the mean direction? But let's check with fishqq.py. First we'll get the help message for it: " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r\n", " NAME\r\n", " fishqq.py\r\n", "\r\n", " DESCRIPTION\r\n", " makes qq plot from dec,inc input data\r\n", "\r\n", " INPUT FORMAT\r\n", " takes dec/inc pairs in space delimited file\r\n", "\r\n", " SYNTAX\r\n", " fishqq.py [command line options]\r\n", "\r\n", " OPTIONS\r\n", " -h help message\r\n", " -f FILE, specify file on command line\r\n", " -F FILE, specify output file for statistics\r\n", " -sav save and quit [saves as input file name plus fmt extension]\r\n", " -fmt specify format for output [png, eps, svg, pdf] \r\n", "\r\n", " OUTPUT:\r\n", " Dec Inc N Mu Mu_crit Me Me_crit Y/N\r\n", " where direction is the principal component and Y/N is Fisherian or not\r\n", " separate lines for each mode with N >=10 (N and R)\r\n", " \r\n" ] } ], "source": [ "!fishqq.py -h" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 saved in Chapter_12-ps12-1a.di_unf1.png\n", "2 saved in Chapter_12-ps12-1a.di_exp1.png\n" ] } ], "source": [ "!fishqq.py -f Chapter_12/ps12-1a.di -sav -fmt png" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n5BgiIqoyJCGMUCGDiIiIKtX/B7FiwvQqeakbAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 6, "metadata": { "image/png": { "width": 300 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='Chapter_12-ps12-1a.di_unf1.png',width=300)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKgtJCG4NREREZO7+H7viF5yM2bemAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 7, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='Chapter_12-ps12-1a.di_exp1.png',width=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And it looks like at the 95% confidence level, this data set IS Fisherian." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 1b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's try the other data set." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 saved in Chapter_12-ps12-1b.di.png\r\n" ] } ], "source": [ "!eqarea.py -f Chapter_12/ps12-1b.di -sav -fmt png" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4evri23btj2s0omIiAYNb59KREQkA/8H+GeUB4xGUI8AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 9, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='Chapter_12-ps12-1b.di.png',width=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Whoa! This one does not look Fisherian. See how there are 'outliers' and the data are spread out more in declination than in inclination? So let's check with fishqq.py" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 saved in Chapter_12-ps12-1b.di_unf1.png\n", "2 saved in Chapter_12-ps12-1b.di_exp1.png\n" ] } ], "source": [ "!fishqq.py -f Chapter_12/ps12-1b.di -sav -fmt png" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEEaokEFEREQ16v8DMNMhuFNRToUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 11, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='Chapter_12-ps12-1b.di_unf1.png',width=400)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nr+2/nb/sZgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "execution_count": 12, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='Chapter_12-ps12-1b.di_exp1.png',width=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Surprise! This one is only Fisherian at the 99% level of confidence - not 95%. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the data in Chapter_12/ps12-1c.di" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 saved in Chapter_12-ps12-1c.di.png\r\n" ] } ], "source": [ "!eqarea.py -f Chapter_12/ps12-1c.di -sav -fmt png" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "execution_count": 14, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='Chapter_12-ps12-1c.di.png',width=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now get the Fisher mean using gofish.py. " ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 1.8 58.1 98 94.8617 30.9 2.6 14.6\r\n" ] } ], "source": [ "!gofish.py -f Chapter_12/ps12-1c.di" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To find out what the output means, get the help message:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r\n", " NAME\r\n", " gofish.py\r\n", "\r\n", " DESCRIPTION\r\n", " calculates fisher parameters from dec inc data\r\n", "\r\n", " INPUT FORMAT\r\n", " takes dec/inc as first two columns in space delimited file\r\n", "\r\n", " SYNTAX\r\n", " gofish.py [options] [< filename]\r\n", "\r\n", " OPTIONS\r\n", " -h prints help message and quits\r\n", " -i for interactive filename entry\r\n", " -f FILE, specify input file\r\n", " -F FILE, specifies output file name\r\n", " < filename for reading from standard input\r\n", " \r\n", " OUTPUT\r\n", " mean dec, mean inc, N, R, k, a95, csd\r\n", "\r\n", " \r\n" ] } ], "source": [ "!gofish.py -h" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we rotate the data to the mean declination and inclination using di\\_rot.py. But first, a little help message would be great." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r\n", " NAME\r\n", " di_rot.py\r\n", "\r\n", " DESCRIPTION\r\n", " rotates set of directions to new coordinate system\r\n", "\r\n", " SYNTAX\r\n", " di_rot.py [command line options]\r\n", "\r\n", " OPTIONS\r\n", " -h prints help message and quits\r\n", " -f specify input file, default is standard input\r\n", " -F specify output file, default is standard output\r\n", " -D D specify Dec of new coordinate system, default is 0\r\n", " -I I specify Inc of new coordinate system, default is 90\r\n", " INTPUT/OUTPUT\r\n", " dec inc [space delimited] \r\n", "\r\n", "\r\n", " \r\n" ] } ], "source": [ "!di_rot.py -h" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "!di_rot.py -f Chapter_12/ps12-1c.di -F ps12-1c-rot.out -D 1.8 -I 58.1" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 saved in ps12-1c-rot.out.png\r\n" ] } ], "source": [ "!eqarea.py -f ps12-1c-rot.out -sav -fmt png" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "execution_count": 20, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='ps12-1c-rot.out.png',width=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like the inclinations are spread out too much. Let's see what fishqq.py has to say." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 saved in Chapter_12-ps12-1c.di_unf1.png\n", "2 saved in Chapter_12-ps12-1c.di_exp1.png\n" ] } ], "source": [ "!fishqq.py -f Chapter_12/ps12-1c.di -sav -fmt png" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 22, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='Chapter_12-ps12-1c.di_unf1.png',width=400)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAdrnmhBiKDjGaGsgQgghpKn7f5Bo1EGG+7WxAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 23, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='Chapter_12-ps12-1c.di_exp1.png',width=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And sure enough... the inclinations are too spread out. They are not exponentially distributed." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 2a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So how does foldtest.py work? " ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r\n", " NAME\r\n", " foldtest.py\r\n", "\r\n", " DESCRIPTION\r\n", " does a fold test (Tauxe, 2010) on data\r\n", "\r\n", " INPUT FORMAT\r\n", " dec inc dip_direction dip\r\n", "\r\n", " SYNTAX\r\n", " foldtest.py [command line options]\r\n", "\r\n", " OPTIONS\r\n", " -h prints help message and quits\r\n", " -f FILE file with input data\r\n", " -F FILE for confidence bounds on fold test\r\n", " -u ANGLE (circular standard deviation) for uncertainty on bedding poles\r\n", " -b MIN MAX bounds for quick search of percent untilting [default is -10 to 150%]\r\n", " -n NB number of bootstrap samples [default is 1000]\r\n", " -fmt FMT, specify format - default is svg\r\n", " -sav save figures and quit\r\n", " INPUT FILE\r\n", "\tDec Inc Dip_Direction Dip in space delimited file\r\n", "\r\n", " OUTPUT PLOTS\r\n", " Geographic: is an equal area projection of the input data in\r\n", " original coordinates\r\n", " Stratigraphic: is an equal area projection of the input data in\r\n", " tilt adjusted coordinates\r\n", " % Untilting: The dashed (red) curves are representative plots of\r\n", " maximum eigenvalue (tau_1) as a function of untilting\r\n", " The solid line is the cumulative distribution of the\r\n", " % Untilting required to maximize tau for all the\r\n", " bootstrapped data sets. The dashed vertical lines\r\n", " are 95% confidence bounds on the % untilting that yields\r\n", " the most clustered result (maximum tau_1).\r\n", " Command line: prints out the bootstrapped iterations and\r\n", " finally the confidence bounds on optimum untilting.\r\n", " If the 95% conf bounds include 0, then a post-tilt magnetization is indicated\r\n", " If the 95% conf bounds include 100, then a pre-tilt magnetization is indicated\r\n", " If the 95% conf bounds exclude both 0 and 100, syn-tilt magnetization is\r\n", " possible as is vertical axis rotation or other pathologies\r\n", " Geographic: is an equal area projection of the input data in\r\n", "\r\n", " OPTIONAL OUTPUT FILE:\r\n", " The output file has the % untilting within the 95% confidence bounds\r\n", "nd the number of bootstrap samples\r\n", " \r\n" ] } ], "source": [ "!foldtest.py -h" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's give it a whirl with the data set for problem 2a." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "doing 1000 iterations...please be patient.....\n", "0\n", "50\n", "100\n", "150\n", "200\n", "250\n", "300\n", "350\n", "400\n", "450\n", "500\n", "550\n", "600\n", "650\n", "700\n", "750\n", "800\n", "850\n", "900\n", "950\n", "-2 - 19 Percent Unfolding\n", "range of all bootstrap samples: -10 - 27\n", "3 saved in foldtest_ta.png\n", "2 saved in foldtest_st.png\n", "1 saved in foldtest_ge.png\n" ] } ], "source": [ "!foldtest.py -f Chapter_12/ps12-2.dat -sav -fmt png" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 26, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='foldtest_ta.png',width=400)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "execution_count": 27, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='foldtest_st.png',width=400)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename='foldtest_ge.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These data are much better grouped in geographic coordinates and much worse after tilt correction. So these were magnetized after tilting. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 2b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we try it with uncertainty in the bedding poles." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "doing 1000 iterations...please be patient.....\n", "0\n", "50\n", "100\n", "150\n", "200\n", "250\n", "300\n", "350\n", "400\n", "450\n", "500\n", "550\n", "600\n", "650\n", "700\n", "750\n", "800\n", "850\n", "900\n", "950\n", "-3 - 20 Percent Unfolding\n", "range of all bootstrap samples: -10 - 25\n", "3 saved in foldtest_ta.png\n", "2 saved in foldtest_st.png\n", "1 saved in foldtest_ge.png\n" ] } ], "source": [ "!foldtest.py -f Chapter_12/ps12-2.dat -sav -fmt png -u 10" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 30, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename='foldtest_ta.png',width=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And no, the answer didn't change. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 3a" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We know what to do here: " ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1 saved in Chapter_12-ps12-3.dat.png\r\n" ] } ], "source": [ "!eqarea.py -f Chapter_12/ps12-3.dat -sav -fmt png" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3Xt4TNf+P/D3TG4SIYKE0Lgmcb80pVK5aRvCkNCijRBF\nWkdpnTpt8T29KG3PafVUe1yriiJEWxSRFAlNEKIl7reEIpyqIEEkkYus3x9kfglBMpnMmtn7/Xqe\nPDqT2Xu/J53Zn73XXnstjRBCgIiIiCyaVnYAIiIiqj4WdCIiIgVgQSciIlIAFnQiIiIFYEEnIiJS\nABZ0IiIiBWBBJyIiUgAWdCIiIgVgQSciIlIAFnQiIiIFYEEnIiJSABZ0IiIiBWBBJyIiUgAWdCIi\nIgVgQSciIlIAFnQiIiIFYEEnIiJSABZ0IiIiBWBBJyIiUgAWdCIiIgVgQSciIlIAFnQiIiIFYEEn\nIiJSABZ0IiIiBWBBJyIiUgAWdCIiIgVgQSciIlIAFnQiIiIFYEEnIiJSABZ0IiIiBWBBJyIiUgAW\ndCIiIgVgQSciIlIAFnQiIiIFYEEnIiJSABZ0IiIiBWBBJyIiUgAWdCIiIgVgQSciIlIAFnQiIiIF\nYEEnIiJSABZ0IiIiBWBBJyIiUgAWdCIiIgVgQSciIlIAFnQiIiIFYEEnIiJSABZ0IiIiBWBBJyIi\nUgAWdCIiIgVgQSciIlIAFnQiIiIFYEEnIiJSABZ0IiIiBWBBJyIiUgAWdCIiIgVgQSciIlIAFnQi\nIiIFYEEnIiJSABZ0IiIiBWBBJyIiUgAWdCIiIgVgQSciIlIAFnQiIiIFYEEnIiJSABZ0IiIiBWBB\nJyIiUgAWdCIiIgVgQSciIlIAFnQiIiIFYEEnIiJSABZ0IiIiBWBBJyIiUgAWdCIiIgVgQSciIlIA\nFnQiIiIFYEEnIiJSABZ0IiIiBWBBJyIiUgAWdCIiIgVgQSciIlIAFnQiIiIFYEGnGteiRQuMGTNG\ndgxptFotZsyYITsGESkcC7oFW7ZsGbRabYU/VlZW+O2332RHBABoNJoqvf7GjRuoVasWtFotTp06\nVUOpquf8+fPl/t7W1tZo3rw5XnzxRRw6dMgo2zhx4gSmT5+OjIwMo6yPiJTNWnYAqh6NRoOPP/4Y\nLVq0eOB3Hh4epg9kBD/99BOKiorg4OCAlStXmvXZbXh4OHQ6He7cuYMTJ05g/vz52Lx5M1JSUtC5\nc+dqrfv48eOYPn06nn32WTRr1sxIiYlIqVjQFaBv377w9vaWHcNooqKi4O/vj+bNm2PVqlWVLuj5\n+fmwt7ev4XTleXt7Izw8XP+4Z8+eCA0NxYIFC7BgwYJqrVsIUeXWDSJSLza5q8SNGzcwatQo1KtX\nD87Ozhg9ejQOHToErVaL5cuX61/Xq1cvPPfccw8sP2rUKLRs2bLcc//5z3/g6+uLhg0bwsHBAd26\ndcPatWurlfPChQvYuXMnRo4ciREjRuCPP/5ASkrKA6/r1asXOnfujNTUVAQEBKB27dp477339L//\n5ZdfEBAQAEdHR9StWxcDBgzA8ePHy63jyJEjGD16NFq3bg17e3u4ubkhMjISWVlZBucv/dudPXv2\nka87cOAA+vXrBycnJ9SpUwdBQUHYu3ev/vfLli3DSy+9pH+vpZdRduzYYXA2IlI2nqErwI0bN3Dt\n2rVyz2k0GtSvX1//ODQ0FLt378brr7+Otm3b4ueff8Yrr7zywBngw84INRrNA7+bPXs2Bg4ciBEj\nRqCwsBCrV6/GSy+9hE2bNqFfv34GvZdVq1bBzs4OQ4cORe3ateHm5oaVK1fCx8fngTxXr16FTqdD\nWFgYRo4ciUaNGgEAVqxYgVGjRqFv376YOXMm8vLysGDBAvj7++PAgQP65uv4+HicPXsWY8aMQePG\njXHs2DEsXLgQx48fx549ewzKf/r0aQBAgwYNHvqa48ePIyAgAE5OTpg6dSqsra2xcOFC9OrVCzt2\n7ED37t0REBCAiRMnYs6cOXj//ffRtm1bAEC7du0MykVEKiDIYn3//fdCo9FU+GNvb69/3fr164VG\noxFffvml/rmSkhIREBAgtFqtWLZsmf75Xr16iWefffaBbY0aNUq0bNmy3HO3b98u97i4uFh06tRJ\nBAUFlXu+RYsWYvTo0ZV6T507dxZDhgzRP/7HP/4hXF1dxZ07d8q9rlevXkKr1YpFixaVe/7WrVvC\n2dlZjBs3rtzzmZmZol69euJvf/vbQ/MLIcTq1auFVqsVu3btemTOc+fOCY1GIz7++GNx9epVcfny\nZZGYmCiefPJJodVqxfr16/Wv1Wg0Yvr06frHgwYNErVq1RLnzp3TP3fp0iVRt25d0atXL/1za9as\nEVqtViQlJT0yCxGREEKwyd3CaTQaLFiwAAkJCeV+fvnlF/1rfvnlF9jY2GDcuHHllnvzzTchhDB4\n23Z2dvr/vn79OrKzs+Hv74/U1FSD1nf48GEcOXIEERER+udGjBiBq1evYsuWLRVuf9SoUeWei4+P\nx40bNxAWFoZr167pfzQaDXr06IFff/21wvwFBQW4du0aevToASFEpd/DtGnT4OLigsaNG+O5557D\n2bNnMXPmTAwcOLDC15eUlCA+Ph4vvPACmjdvrn++cePGCA8Px65du3Dr1q1KbZuIqCw2uStA9+7d\nH9kp7vz583Bzc4ODg0O559u0aVOt7W7atAmffvopDh48iIKCAv3zWq1hx4lRUVGoXbs2PD09cebM\nGQBAnTp10KxZM6xcufKBZvymTZvC2rr8Rzg9PR1CCDz77LMPrF+j0cDJyUn/ODs7Gx999BF++OEH\nZGZmlnvdjRs3KpV57NixGDp0KLRaLerVq4cOHTrAxsbmoa+/cuUK8vLy4OXl9cDv2rVrh5KSEly4\ncIFN60RUZSzoVM7DrqHfuXOn3OOdO3di4MCB6NWrFxYsWAA3NzfY2NhgyZIliI6ONmjbq1evRl5e\nHjp06PBApqtXryIvL6/cQUlFPdpLSkqg0WgQFRWlv6ZeVtkDgKFDhyIlJQWTJ09Gly5d4OjoiJKS\nEgQHB6OkpKRSmT09PSvsREhEZGos6CrQvHlzbN++/YGCePLkyQde6+zsXGEP7fPnz5d7vG7dOtjb\n22PLli3liuTixYsNypiYmIiLFy/ik08+0XcAK5WdnY2xY8di/fr15W4Rq0jr1q0hhICLi8sjC+31\n69exfft2fPzxx+V6x5d2aqspLi4ucHBwqHDAnBMnTkCr1cLd3R1A1QfkISJ14zV0FdDpdCgqKip3\nX3RJSQnmzJnzQNFo3bo1Tp48Wa7X/KFDh5CcnFzudVZWVtBoNCguLtY/d+7cOWzYsMGgjFFRUXB0\ndMQ777yDF198sdxPZGQkPDw8sHLlyseuJzg4GHXr1sW//vWvctlKXb16VZ8fwANn4l999VWNFlKt\nVos+ffpgw4YN5UaAu3z5MqKjo+Hv7w9HR0cAQO3atSGEwPXr12ssDxEpB8/QLZwQAnFxcThx4sQD\nv+vZsydatmyJkJAQ+Pr6YurUqTh79izat2+PdevWIScn54FlxowZg1mzZqFPnz6IjIzE5cuXsXDh\nQnTs2BE3b97Uv65///6YNWsWgoODER4ejsuXL2P+/Pnw9PTE4cOHq/QeCgsLsW7dOvTu3Ru2trYV\nviY0NBSzZ8/G1atX0bBhw4euq06dOliwYAFGjhwJb29vhIWFwcXFBRkZGYiNjYWfnx9mz56NOnXq\nICAgADNnzkRhYSGaNm2KrVu34ty5c9XqKFgZn3zyCRISEuDr64vx48fDysoK3377LQoLCzFz5kz9\n67p27QorKyt8/vnnuH79Ouzs7PD8888/8v0TkYpJ7GFP1fT9998LrVb70J+yt6NlZ2eLV155RdSr\nV084OzuLUaNGiUOHDgmNRlPudUIIsWrVKuHh4SFq1aolvL29RXx8vBg1apRo1apVudctXbpUtGnT\nRtjb24v27duLZcuWiY8++khotdpyr2vZsqUYM2bMQ9/HunXrhFarFd9///1DX5OUlCS0Wq2YM2eO\nEOLubWudO3d+5Ov79esnnJ2dhYODg/D09BRjxowRqamp+tf8+eefYvDgwaJ+/frC2dlZhIWFib/+\n+ktotVoxY8aMh65biLu3rWm1WjFr1qxHvk4IUeH6Dh48KPr16yfq1q0rHB0dRVBQkNi7d+8Dyy5e\nvFh4eHgIGxsb3sJGRI+kEaKGT0fIbJ0/fx4tW7bE999/j5EjR8qOQ0RE1cBr6ERERArAgk5ERKQA\nLOgqx1ujiIiUgdfQiYiIFIBn6ERERArA+9At1Msvv4z8/HzZMYiIANwdivmHH36QHUPVWNAtVH5+\nPjZu3Cg7BhERgLuDP5FcbHInIiJSABZ0IiIiBWBBJyIiUgAWdCIiIgVgQSciIlIAFnQiIiIFYEEn\nIiJSABZ0IiIiBWBBJyIiUgAWdCIiIgXg0K9EFiotLQ1nzpyBh4cHPD09q7SsEAIFBQUoKCiAg4MD\ntFotrKysaigpEZkCCzqRhcnKykJEeDjitmzRP+fdtSuGR0QgJycHmZmZuHz5MrKzs5GTk4OcnBzc\nvHkTt27dQmFhIYqLi1FcXPzAerVaLezs7FC7dm3UqVMHderUQd26dVG3bl24uLjA1dUVjRo1gqur\nK9zc3NC8eXM0a9YMdnZ2pnz7RPQQLOhEZi4jIwMZGRk4ceIETp48iRXLl+Pa1auwA1Bw7zWpBw/i\nwKFDaNy4MVxdXeHq6goXFxe0atUKdevWRZ06deDo6Ag7OzvY2NjA2toaO3fuxPLly/HRRx/B3d0d\nhYWFKCgoQF5eHm7evKk/GLhx4wbS09ORnJyMy5cvIycnp1w+Nzc3tGjRAh4eHmjXrh3atm0LDw8P\ntGrVCrVr1zb534tIrVjQicyEEAIZGRlITU3V//z666/6aXK1Wi3c3d1x5epVBAMIBtACQHMAKQAm\nCIGkpKRKN797e3tj+fLlCAkJgbe3d6Vz5ufn49KlSzh//jzOnTun/0lLS8PGjRtx48YN/Ws7dOgA\nHx8feHt7w9vbG126dIG9vX2lt0VElceCTiRJUVERDh48iOTkZP3PpUuXAACNGzeGt7c3fHx8kJKS\ngr1798LLywvbt2+HTqfDIgDuZdblAmACgNOnT1f5enpV2dvbo1WrVmjVqtUDvxNC4PLly5gxYwYW\nL16MHj16IDU1FcuXL0dRURFsbGzg7e0NX19f/U+jRo1qNC+RWrCgE5mIEAInT55EQkIC4uPjkZiY\niJycHNjZ2eHpp5/GK6+8gp49e6Jbt25wc3MDAMTGxmLAgAGoW7cu7Ozs0Lp1awDADgDDy6w76d6/\nHh4eJn1P99NoNGjcuDHy8vLQpUsXLF68GABQWFiIo0ePIiUlBcnJyVi7di1mzZoF4O5ZfO/evREU\nFITAwEA4OjrKfAtEFosFnagG3b59G7/++is2btyITZs24eLFi7CxsYGvry+mTp2KZ599Ft7e3g/t\nWNapUycAwJEjR9C8eXN4eXlBFxyMiQkJEHfuIBB3i/nfraygCwqq0tl527ZtsX//frRt29YI77S8\nI0eOoGvXrvrHtra2+mb38ePHAwAuXryInTt3IiEhAWvXrsXXX38Na2tr+Pv7IzQ0FKGhoRW2AhBR\nxVjQiYwsJycHGzduxLp167Blyxbk5uaiVatWGDJkCIKDg+Hv71/pzmLu7u7w8PAod106KjoaI4YN\nQ0SZXu66oCBERUdXKaeDg0OVrp1XlhACWq32set+4oknMGzYMAwbNgxCCKSnpyM+Ph6xsbGYMmUK\nJk2ahA4dOmDgwIF46aWX0LlzZ2g0GqPnJVIKjRBCyA5BVRcaGoqNGzfKjkH3XLt2DQkJCVizZg02\nbdqE27dvo0ePHhg4cCBCQ0PRvn17oxej9PR0nD592qD70M3drVu3sHXrVmzcuBExMTHIyspC27Zt\nERYWhgEDBuCpp56SHZHuw32SfCzoFopfHvmEEPjtt98wd+5cREVFAbjbczwsLAwvvfQSmjdvLjmh\nMhQVFSEhIQGrV6/Gzz//jJycHDRu3BjTpk1DWFgY6tWrJzsigfskc8ChX4mq6OrVq/jyyy/RsWNH\n+Pj4ICkpCY0aNUKfPn2wf/9+vPvuuxZTzKOr2Ewvg42NDfr164dly5Zh27ZtAO4210+YMAFubm6I\niIhAYmIieG5CaseCTlRJqampGDNmDJ544gn885//RKdOnbBlyxacPXsWU6ZMQWJiIrKzs2XHrBJL\nKOhl/fjjj2jQoAGSk5Nx4cIFTJs2DXv37sWzzz6LTp064ZtvvkFubq7smERSsKATPcKdO3fw008/\nwdfXF0899RQSEhLw0Ucf4eLFi1i9ejX69OkDKysrDBs2DMXFxfjxxx9lR1asO3fuYNWqVRg2bBhs\nbW3RpEkTTJ06FadOncK2bdvg6emJCRMmoGnTpvjHP/6B8+fPy45MZFIs6EQVuH37NhYuXIg2bdrg\npZdegq2tLdatW4c//vgDU6dOhYuLS7nXN27cGKNGjWIv7Bp07do1dOrUCSNHjiz3vEajwXPPPYef\nf/4Zf/zxB8aNG4dly5ahdevWiIiIwJEjRyQlJjItdoqzUOyAUjNu3bqFefPm4auvvkJmZiaGDBmC\nyZMno1u3brKjGUV0dHS5ZvaYmBiEhIToH5feRmbpbt26hcWLF+PLL7/EhQsX0L9/f3zwwQfo0aOH\n7GiKxX2SGRBkkUJCQmRHUJTc3FzxxRdfiIYNGwobGxvx2muvibS0NNmxapzSP0eFhYVi2bJlol27\ndgKA6N+/v9i3b5/sWIqk9M+SJWCTO6laYWEhZs+ejdatW+P//u//8MILLyA9PR3ffvut4u7tViMb\nGxuMHDkSR44cwapVq5Ceno5u3brhhRdewNGjR2XHIzIqFnRSJSEE1qxZg/bt22PSpEno27cvTp06\nhW+//dZibjmjyivtuHjs2DEsW7YMhw8fRpcuXfDaa6/pJ8QhsnQs6KQ6S5cuRc+ePTF06FC0adMG\nhw8fxtKlS1U5bnh1rpenpaXhl19+QXp6uhET1Sxra2uMHDkSJ06cwFdffYV169bB09MTb7zxBi5f\nviw7HlG1sKCTavz1118YOHAgxowZgz///BMJCQmIjY1Fhw4dZEeTxpCC/ttvv+Hpp55CmzZtoNPp\n4OXlhf59+1rUPfi2traYOHEizpw5g7/97W+YN28eWrZsiTVr1nCAGrJYLOikeMXFxZg9ezbatGmD\n5ORkdOvWDUVFRXj66adlR7MoWVlZ6N+3L57p0QNpqamIApABIApASkICRlhg7/h69eqhSZMm0Gq1\n6NGjB4YOHYrg4GCcOnVKdjSiKmNBJ0X7/fff0a1bN7z11lsIDw9HWloa1qxZg+zsbPz73/+WHc+i\nRISHIzk+HiUA5uHufOzu9/797507iNuyxaKa3wEgMzMTM2bMwLhx4/Drr79i06ZNOHPmDDp16oT3\n338ft2/flh2RqNJY0EmR8vLy8O6778LHxwdWVlb47bffsGDBAtSvXx/NmzfH5MmTMWvWLPzvf/+T\nHdUipKWlIW7LFowtKQEABNz3+8B7/54+fdqkuarr448/hpWVFWbMmAEA6N+/P44dO4Z//vOfmDlz\nJp588kns3r1bckqiymFBJ8VJTExE586dMWfOHPzrX//C3r17HxgYZvLkyVizZg2aNGkiKaV8aWlp\nmDJlSqXOqs+cOQMA6H/v8Y77fp90718PDw+j5TOFDz74AGvXrkWDBg30z9WqVQsfffQRDhw4ACcn\nJ/j5+WHixIm4deuWxKRElSD7RngyDAdxeFB+fr6YNGmSACD8/f3FqVOnZEcyS9euXRO64GABQP+j\nCw4WWVlZD13m1KlTAoCIAoQOEPUBsQIQGff+rW9lJXTBwSZ8F6ZRXFwsZs2aJezt7UXr1q3Fnj17\nZEcyW9wnycczdFKEQ4cOoXv37pg/fz5mzZqFxMREeHl5yY5lliLCw5GSkIAoAEGoXKc2Ly8v6IKD\nMdHKCqEAugKIANDs3r8+QUGIsrCZ2yrDysoKkyZNwuHDh9GwYUP4+flh2rRpKCoqkh2N6AEs6GTR\nSkpK8OWXX+Lpp5+GVqvFvn37MGnSJGi1lvnRrul7u0uvhc++cwfDAdij8p3aoqKj4RMUhHEAtt97\nrpu3N37//XfEbt4MZ2fnGslsDjw8PLBr1y588MEH+PTTT+Hr66u/DEFkLixzr0eEu7NvhYaG4p13\n3sHEiRPx22+/oWPHjrJjGaT0lrCavrd78eLFAIDvAYQCiLn377J7v585c+ZDDyicnZ0Ru3nz3YOC\nuDikpaXh9/37FTNxzeNYW1tj2rRp2L17N7Kzs+Ht7Y21a9fKjkX0/8lu8yfDqP161Z49e0SzZs1E\n/fr1RWxsrOw41aYLDhb1raxE1L3r0lFVuC596tQpERcXV6nJZMpeCxeACLn374oy19NRyevqanbj\nxg0xdOhQAUC8+eab4vbt27IjSaf2fZI5YEG3UGr98pSUlIj//ve/wtraWjzzzDPi/PnzsiNV2/1F\nVtxXZB9WqCvq3Bbo7//YIlx68LACEEH3tlNPoxF29zJU9YBCrUpKSsTcuXOFra2t6NatmyI+i9Wh\n1n2SOWGTO1mM27dvY/To0fj73/+ON954A0lJSWjWrJnsWNVWei02AEAagF8ApOPx93aX7dxWOmLb\nwZ070bpFC+zbt++h1+NLr4VHAEjA3U5tN4XAbChjsBhT0Wg0mDBhApKTk5GZmYnu3btj586dsmOR\nmsk+oiDDqO1o+Pz58+Lpp58WdnZ2Yvny5bLjGFXpGXrX+5q8uz7iDP1xZ/UAhPYxzedpaWli8uTJ\nomP79gL3zszLrivj3rJxcXGm+lNYrMzMTBEQECCsra3F3LlzRUlJiexIJqe2fZI54hk6mb2ffvoJ\nrVq1wtmzZ7Fz505ERETIjmSQh50xe3l5oVGDBjgLlDvbPgugUYMGFc7LXvasvqzSs/p3ATgBeA4P\nvy3N09MTkZGROHr8OADgx/vWZamDxcjg4uKChIQEjB07Fm+88Qa6du2K4uJi2bFIZVjQyazFxMTg\nlVdeQa1atWBtbY2mTZvKjlRlFfVg7+Xvr+/BnpaWhsvXrj0wPvpcAJevXauwybt169YAHj5i22sA\nZuPu7WVPo+Lm86ysrHJF/h0ATwI4grsHAW8A6O7tXeEBBT3IxsYGjRo1AgAcPXoUAwcO5OhyZFIs\n6GS25s2bh0GDBqFv3744dOgQtFotBg4ciLy8PNnRqiQiPBy74+PRtcxzSbt2oZ2nJ7Kzsx97tl3R\nNXQvLy8E+vlhAu4W3wv3/v07AB0Az7LLP2RdEeHhOHPo0AOtAqWDxuQAmL9woUHvWY1+/PFHTJs2\nDTNmzEBcXBx27tyJgIAA/Pnnn7KjkVrIbvMnwyj5elVJSYl49913BQAxadIkUVxcLIQQYv/+/cLB\nwUG8/fbbkhNWXtnr4/Xv60XudK9XuqG93LOyskSjBg3K32oGiKz7l69gXY/bpqNGwx7uVXDp0iVh\nb28vwsPD9dfPDx48KJo2bSrc3d3F8ePHJSeseUreJ1kKFnQLpdQvT3FxsYiMjBQAxNdff/3A7xMT\nE0V2draEZIaJi4vTF9tHFeyyt5JVZXz0rKwsEejnJzSAcLxvfHVnQDz3kHWV5npYR7hu3t4PdKKr\nzP3uVbknXmk2b94s8vPzyz138eJF0bFjR9GwYUOxb98+SclMQ6n7JEvCgm6hlPjluX37thgyZIiw\nsrISy5Ytkx3HKErPhB9VPOPi4kRWVlaVJ0wp6/fffxfdvb3LLf+oXu6lucZXolWgMpO5GDLhi1pc\nu3ZN9OjRQ9SpU0ckJibKjlNjlLhPsjQs6BZKaV+e3Nxc0adPH2FnZyfWr18vO45RBfj5VbpJPS0t\nrVpnuGWXf9y6dMHBwgaPnzWtMqPYVWekOzXIyckRzz//vKhVq5YiRjasiNL2SZaIBd1CKenLk5ub\nK4KCgoSDg4PYtm2b7DhGV3qt26kSxdPUuVxdXB55Vl2Z6/uG9gFQm9u3b4uBAwcKW1tbERMTIzuO\n0Slpn2Sp2MudpMrLy8PAgQOxe/duxMXF4bnnnpMdyeicnZ1xIj0dXf39zWrKUWdnZ/Tw8Sk32cr9\ns6ZVpge+Ib301cjOzg4//vgj+vfvj8GDB2PTpk2yI5HCWMsOQOqVn59frpgHBgY+fiEL5ezsjMQd\nO5Ceno7Tp0/Dw8NDyv3d0dHRiC5zEBETE1Pu98OGDcNTTz2FM2fOwMPDo9z97sPLvK7soDNCiMe+\nhu6ytbXF6tWrERYWhsGDB2PdunXo37+/7FikFLKbCMgwlt68VVBQIPr16yccHBwU3VHI3JX9HD2s\nY1vv5557bA98Q3vpq1VBQYEYNGiQsLW1VcxlJkvfJykBm9zJ5O7cuYNXXnkF27Ztw/r162vszPxh\nQ63KXpe5qmiyl5SEBADQT+bysMsFZSd8MZdLCuas9Ey9V69eGDhwIH777TfZkUgBWNDJpIQQmDBh\nAn788UdER0ejd+/eRt9GRUOt9u/bVz/Uqqx1mbO0tDTEbdmC2XfuPDDjWvz27ch9zOh8zs7OiN28\n+ZHX4w3JpOSDKDs7O6xbtw6dO3dGv379cOzYMdmRyNLJbiIgw1hq89b7778vAIglS5bU2DaMeQtV\nVdZliYOqrFq1Sgjx6IFmtIBw1mpNdkua2u5pz8rKEp07dxZNmjSx6DnVLXWfpCQs6BbKEr883333\nnQAgPv/88xrbhjFvoarsupRQgB72Xmfi8aPcGZsa72m/dOmSaNGihejYsaO4fv267DgGscR9ktKw\nyZ1MYuvWrfjb3/6GcePG4d13362x7RjzFqrKruth157vn67UnHl5eUEXHIyJVlblJnuZob27izDV\nLWmPavq/f7Y4JWncuDHi4uJw8eJFDBkyBEVFRbIjkQViQaca99NPP2HQoEEIDg7GnDlzoNFoamxb\nj5tWtCq3UFVmXUoqQBV1bPPu2ROAcf6eZT3s+ria72lv164d1q1bh8TERPj7+6OkpER2JLIwLOhU\no65cuYIIJZbjAAAgAElEQVTIyEjk5+fD19cXVlZWNbq9h51p/t3KCrrg4Crd+12ZdSmpAFXUsS1p\n506j/T2Bx3cyNOYBmSVq1aoV3NzcsHfvXrz33nuy45Clkd3mT4axhOtVhYWFolevXqJhw4Zi/Pjx\nAoCIjIwUBQUFNbrd6k50UpV1qWHYU2P+PasyLrza7mnfvXu3cHV1FS1bthRjxowRWq1WbNmyRXas\nSrOEfZLSsaBbKEv48rzxxhvC2tpaJCUlCSGE+P7774WNjY3J5jOv7kQnlV2XJReg0l7ulVHdv2dl\nD36MeQBhKUrnU/fz8xOZmZmiuLhY9O3bV9SrV0+kp6fLjlcplrBPUjoWdAtl7l+epUuXCgBi/vz5\n5Z5PTk4WV65ckZSqZlhyAars58gYt+Q9bg72uLi4cq835gGZJdi8ebO4ffu2/nF2drbw9PQU7du3\nFzk5ORKTVY6575PUgAXdQpnzl+fw4cOiVq1aYsyYMaKkpER2HJOxxAL0uM+RMW/JU8PlCWM7duyY\nqF27toiIiDD775I575PUgp3iyKhycnIwdOhQeHp6Yu7cuTXao93ceHp6ol+/fkaZdMVcRkm7/5a8\nLwDsiI/HC6GhVV6XMTssqkX79u3xzTffYMWKFViyZInsOGTuZB9RkGHM8Wi4pKREhIeHC0dHR3Hy\n5EnZcSxSTQ9Ss2rVKhESEqL/AVDucdlr6mXPqK8BQlcmEwAR6O9f5VyWfHlCpldffVXUqlVLHD58\nWHaUhzLHfZLasKBbKHP88ixZskQAqFJHKyrP1KOkPepzVPaatw4Q9e/lKc3lrNUanMsSL0/IlJeX\nJzp37izatm0rcnNzZcepkDnuk9SGTe5kFH/88QcmTpyI0aNHY5gFjZBmTgwZpKYmm+ZL7wn/AUAc\ngNn38pTmml1SYvDgOca8PKEG9vb2+OGHH3Du3DlMnjxZdhwyUyzoVG3FxcWIiIiAi4sL/vvf/8qO\nY7GqMkiNKWaBK73mPd3Ew79Sxdq2bYsvvvgC8+bNw+bNm2XHITPEgk7V9vnnnyMlJQUrVqxAnTp1\nZMexWFUZJc1Y48c/rjUlKjq6xoZ/paqbMGECgoODMXr0aFy9elV2HDI3stv8yTDmcr3q0KFDwtra\nWvzzn/+UHUURKjNIjYzbvwL9/YWzVlsulxMgGjVowA5tJva///1P1K9fX7z88suyo5RjLvskNeMZ\nOhmsuLgYkZGRaNOmDT788EPZcRShoglSfIKCEBUdrX+NjPHjf96wAbbOzuVytQRQkJ1tUbPKKUGT\nJk0we/Zs/PDDD9i4caPsOGRGrGUHIMv19ddfIzU1Fbt374adnZ3sOIpQOkFKeno6Tp8+DQ8Pjwc6\njpVtmh9e5vmabAK/cuUKLl+7hv8AaA/AA4AngKiSEkTc6xjHDm6mEx4ejlWrVuH1119HYGAgnJyc\nZEciM8AzdDLI6dOn8cEHH+Ctt95Cjx49ZMdRnEf1ApcxQEtpq8BLAPrhbjEH2DFOFo1Gg2+++QY5\nOTl49913ZcchM8GCTlUmhMD48ePh5uaGGTNmyI6jSpVpmjcmtU9rao7c3d0xc+ZMLFq0CMnJybLj\nkBlgkztV2dq1axEfH49Nmzahdu3asuOoUmWa5o1J3yqQkABx5w4CcbeY/93KCrqgIItvbk9LS8OZ\nM2dq/O9obGPHjsXSpUsxYcIE7Nu3D9bW3KWrGc/QqUpu3bqFSZMmITQ0FP3795cdR/VMOUCLqVsF\nTMEU9/PXJK1Wi3nz5uHw4cNYsGCB7DgkGQs6Vcnw4cNx5coVfP3117KjkBFEV6EYl7YKpKWlIS4u\nDmlpaYjdvBnOzs41mLBmGet+fpm6deuG1157DVOmTMHhw4dlxyGJWNCp0o4dO4aNGzdCCIHo6Gjc\nvn1bdiSqpqoU9FJKGbbVkKF2zdH+/ftx6NAh5OfnY9y4cbLjkEQs6FRp06dPh5ubG8aOHYtp06ah\nXbt22LRpk+xYRAaRcT+/MV2/fh2vvvoqunfvjlu3bmH8+PHYu3cvjhw5IjsaScKCTpWyZ88e/PTT\nT/j3v/+NOXPm4OjRo2jfvj0yMjJkRyMyiKX33Le1tUVqairmzJmDgwcP4quvvkKrVq04eYuKaYQQ\nQnYIqrrQ0FCTjRIlhICfnx/y8vKwb98+WFlZlfudRqMxSQ6qvujo6HLN7DExMQgJCdE/HjZsmKpm\ny+vfty9SEhLw3/t67vsEBSHWAiZAuf/7t27dOgwePBhbt25F7969TZrFlPskqhgLuoUy5Zdnw4YN\nGDRoEOLj4xEUFGSSbZJpqH0nnH1v6Nq4LVv0z+mCgxEVHW2Rnf2EEPD390deXh72799v0oNttX+W\nzAGb3OmRSkpKMG3aNDz77LMs5qQ4Suu5r9Fo8Omnn+LAgQPYsGGD7DhkYhyFgB5p3bp1OHToEHbu\n3Ck7ClGN8fT0tPhe+6UCAwPx3HPP4cMPP0RoaCi0Wp63qQX/T9ND3blzB9OmTUOfPn3g5+cnOw7V\nADVdL1eTGTNm4MiRI1i7dq3sKGRCLOj0UGvXrsXx48cxffp02VGohrCgK5Ovry+Cg4Mxffp0lJSU\nyI5DJsKCThUSQuCzzz7D888/Dx8fH9lxiKiK3nvvPRw7dgyxsbGyo5CJsKBThRISEnDgwAFMnTpV\ndhQiMoCfnx969uyJzz//XHYUMhEWdKrQ559/Dm9vbzz//POyoxCRATQaDaZMmYLk5GTs2rVLdhwy\nARZ0esD+/fuxbds2TJkyhYPGEFmwAQMGoH379pg5c6bsKGQCLOj0gDlz5qB58+YYPHiw7ChEVA1a\nrRaTJk3Cpk2b8Mcff8iOQzWMBZ3KuXLlClavXo3x48eXG+KVlMmQ2dbIsoSHh6NevXqYP3++7ChU\nw1jQqZzvvvsOGo0GkZGRsqOQCbCgK5+DgwMiIyOxePFi5OXlyY5DNYgFnfSKi4uxYMEChIeHo0GD\nBrLjEJGRjB8/Hjdu3MDKlStlR6EaxIJOelu2bMGFCxcwfvx42VGIyIhatmwJnU6HRYsWyY5CNYhj\nuZPekiVL0KVLF3h7e8uOQjWkoulTQ0ND9Y/VNn2qmkRGRuLFF1/EkSNH0KlTJ9lxqAawoBMAIDMz\nExs3bsSXX37JW9UU7P6CzSkv1aN///5wcXHBkiVL8NVXX8mOQzWATe4E4O5kDhqNBsOHD5cdhYhq\ngK2tLcLDw/Hdd98hJydHdhyqASzoBABYunQpioqKoNPpMHfuXFy9elV2JCIygpKSEuzcuRNjx47F\nkiVLcOvWLcyaNUt2LKoBLOiE48ePIy8vD++88w5cXV0xadIkNG/eHLdu3ZIdjWoYr5cr3/Tp0xEQ\nEICtW7di4sSJaNOmDU6cOCE7FtUAXkMn/PDDD3BycsInn3wCOzs7XLlyBXv27IGjo6PsaFTDWNCV\nb+TIkXj++efh5+cHrVYLR0dHfPzxx8jNzUXt2rVlxyMj4hm6ygkhsHr1arzwwguws7MDALi4uJTr\n+UxElqt169YICAiAVnt3d//yyy8jLy8PMTExkpORsbGgq9zBgweRlpaGsLAw2VGIyARatmyJHj16\nYPXq1bKjkJGxoKvchg0bUK9ePTz33HOyoxCRiQwZMgRbt27lULAKw4Kuchs2bIBOp4ONjY3sKERk\nIqGhocjPz0dCQoLsKGRELOgqlpGRgYMHD/J6OZHKeHl5oU2bNhxUSGFY0FUsJiYG1tbW6Nu3r+wo\nRGRioaGhiImJQUlJiewoZCQs6CoWFxeHgIAAODk5yY5CknD6VPUaMGAAMjMzkZqaKjsKGQkLukoV\nFhYiKSkJffr0kR2FJGJBV69nnnkGjo6OiI+Plx2FjIQFXaVSUlKQm5uL3r17y45CRBLY2NigV69e\n7BinICzoKhUfH48GDRqga9eusqMQkSRBQUHYtWsXb19TCA79qlIJCQl4/vnn9aNHkTpwPnQqq3fv\n3igsLMSuXbt4+U0BWNBVKC8vD/v27UNERITsKGRinA+dymrXrh1cXFywc+dOFnQF4OmZCv3+++8o\nLi6Gr6+v7ChEJJFGo0HPnj2RnJwsOwoZAQu6CiUnJ6Nu3bro2LGj7ChEJJmvry/27t2LoqIi2VGo\nmljQVSg5ORnPPPMMrKysZEchyXi9nPz8/JCXl4dDhw7JjkLVxIKuMkII7N27F88884zsKGQGWNDJ\n29sbtra2SElJkR2FqokFXWUuXLiAa9eu4amnnpIdhYjMgJ2dHTp27IgDBw7IjkLVxIKuMqXDPHp7\ne0tOQkTmwtvbm0PAKgALusocOHAArq6ucHNzkx2FiMzEk08+iWPHjqGgoEB2FKoG3oeuMt999x0K\nCwsxYcIEdOrUCZ06dUK3bt1Qq1Yt2dGIyITOnTuH/fv348iRI0hKSkJRURHWrFmD4cOHy45GBmJB\nV5mCggI0btwYO3bswKJFi1BcXIyzZ8+iRYsWsqMRkQlNmzYNy5cvh4uLC9q3bw8A+N///ic5FVUH\nm9xVJD8/H1lZWXj33Xdx9OhR5Obm4tChQ2jevLnsaERkYh9//DH++usvZGZmIjExEU888QRu3Lgh\nOxZVA8/QVSQtLQ1CCLRr1w4AYGtri86dO0tORUQyNGvWrNzjdu3a4cSJE5LSkDHwDF1FTp48CQBo\n27at5CRkLjgfOpVq27atfh9BlokFXUVOnToFFxcXODs7y45CZoIFnUq1bdsW6enpuHPnjuwoZCAW\ndBU5d+4cWrVqJTsGEZmhli1bori4GH/++afsKGQgFnQVOX/+PDvAEVGFSvcN58+fl5yEDMVOcSpy\n7tw5dOvWTXYMkig6OrpcM3tMTAxCQ0P1j++fL53Uo7Sgnzt3Dn5+fpLTkCFY0FXizp07uHDhAs/Q\nVe7+gh0aGoqNGzdKTETmonbt2mjYsCHOnTsnOwoZiE3uKnH16lUUFRXhiSeekB2FiMzUE088wWvo\nFowFXSUuX74MAGjUqJHkJERkrho1aqTfV5DlYUFXiczMTACAq6ur5CRkTni9nMpydXXV7yvI8rCg\nq0TpUTcLOpXFgk5lubq68gzdgrGgq0RmZiYcHBxQu3Zt2VGIyEw1atSIZ+gWjAVdJW7cuIF69erJ\njkFEZszJyQk3b96EEEJ2FDIAC7pK5OTkoG7durJjEJEZq1u3LoQQyM3NlR2FDMCCrhI3b95EnTp1\nZMcgIjNWuo+4efOm5CRkCBZ0leAZOhE9Tuk+IicnR3ISMgQLukrk5uayQxwRPVLpPuLWrVuSk5Ah\nWNBVoqioCDY2NlVaxpCpNQ2djrM603ha4rLGWofs5c0hg8zlTb1sTS9Tuo8oLi6u8nZIPhZ0lWBB\nN69ljbUO2cubQwYWdOMtU7qPKCoqqvJ2SD4WdJUoLi6GtTXn4iGihyvdR/AM3TJxD68SBQUFuHHj\nBlJTU/XPtW3bFg4ODhJTEZFseXl5OHnyJADg0qVLAIDjx4/j6aef5v7BwrCgq0R+fj5iYmIQExOj\nf27//v3w9vbWPzZkrmxD59euzrzclrissdYhe3lzyCBzeVMva4plTp48iaeeeqrcOiZMmAAfH59y\n+weyAIIsUkhISJVe7+vrK/r16yf279+v/8nNzTXqNgxdpjrLWeqyxlqH7OXNIYPM5U29bE0sk5ub\nq98nrF+/XgAQCxcufOz+wRjZyLh4hq4SdnZ2cHJy4hE3EZXj4OCg3y+UNrG3b9+eze0WiJ3iVMLG\nxoY9V4nokUr3EVW9I4bMAwu6ShhS0A2ZWtPQ6TirM42nJS5rrHXIXt4cMshc3tTL1vQypfsI3hFj\nmTRCcFodSxQaGoqNGzdW+vVhYWG4evUqEhISajAVEVmynTt3IiAgACdPnkSbNm2qtGxV90lkfDxD\nV4k6depwwgUieqTSfQQncrJMLOgqUbduXU64QESPVLqP4EROlokFXSV4hk5Ej3Pz5k1oNBpO5GSh\nWNBVwsnJCdevX5cdg4jM2I0bN1C3bl1oNBrZUcgALOgq4erqiry8POTm5sqOQkRm6vLly3B1dZUd\ngwzEgq4SjRo1AgBkZmZKTkJE5iozM1O/ryDLw4KuEqVH3SzoVJYxpk8l5cjMzOQZugVjQVeJ0qPu\ny5cvS05C5oQFncq6fPkyz9AtGAu6SjRs2BA2Nja4ePGi7ChEZKYuXryIJk2ayI5BBmJBVwkrKyu4\nu7vj/PnzsqMQkRnKzc3F1atX0aJFC9lRyEAcsFdFWrRogXPnzsmOQRIZYz50UqbSg30WdMvFgq4i\nzZs3x/Hjx2XHIInuL9gcf5tKlRb05s2bS05ChmKTu4q0aNECf/zxh+wYRGSGzp49C2tra15Dt2As\n6CrSpk0bXLlyBdnZ2bKjEJGZOXnyJDw9PWFlZSU7ChmIBV1F2rZtC+DuF5cIMM586KQMJ0+e1O8j\nyDKxoKuIl5cXNBoNTpw4AQAoKCjAoUOHIISQnIxkYUFXr4yMDPz111/67/+JEyfQrl07yamoOljQ\nVcTe3h7169fHF198gY4dO8LR0RFdu3blrWxEKvTBBx/Azc0NjRo1QmBgIC5evAgnJyfZsagaWNBV\nxs7ODpcvX0ZgYCBmz56NXbt2wc3NTXYsIjKxGTNmYO3atZgwYYL+unnTpk0lp6Lq4G1rKvPqq6/i\nm2++wdy5czlFIpGKNW/eHM2bN8eLL76I+fPnY9euXRgyZIjsWFQNPENXmSeffBKZmZm4dOmS7ChE\nZCYOHDiADh06wM7OTnYUqgYWdJXx9vYGAKSmpkpOQkTmIjU1Vb9vIMvFgq4y7u7uaNCgAfbv3y87\nChGZgYKCAhw5cgRPPvmk7ChUTSzoKqPRaNCjRw/s2bNHdhQiMgOpqakoKiqCj4+P7ChUTSzoKuTr\n64vdu3fjzp07sqOQZJwPnXbt2gUHBwd06dJFdhSqJhZ0FfL19UVOTg6OHj0qOwpJxoJOycnJ6NGj\nB2xsbGRHoWpiQVeh7t27w9raGsnJybKjEJFEQgjs3r0bvr6+sqOQEbCgq5CDgwO6deuGpKQk2VGI\nSKITJ07gypUr8Pf3lx2FjIADy6hUUFAQFixYgJKSEmi1PK5Ti+jo6HLN7DExMQgNDdU/vn++dFK2\n+Ph42Nraws/PT3YUMgIWdJXq3bs3PvnkExw8eJD3n6rI/QU7NDQUGzdulJiIZEpISICfnx8cHBxk\nRyEj4KmZSvn4+KB27dqIj4+XHYWIJCgqKkJiYiKCgoJkRyEjYUFXKVtbWwQGBmLr1q2yoxCRBHv2\n7MGtW7fQu3dv2VHISFjQVUyn02HHjh24ceOG7CgkCa+Xq9emTZvg6urKS24KwoKuYiEhISguLsbm\nzZtlRyFJWNDVa+PGjQgJCWGnWAXh/0kVa9asGbp27cpOUUQqc+rUKZw6darcHQ5k+VjQVW7gwIGI\ni4tDUVGR7ChEZCIxMTGwt7dnhziFYUFXuYEDB+L69evYvn277ChEZCJr1qxBnz59eLuawrCgq1zX\nrl3h5eWF1atXy45CRCZw9uxZ7N27F2FhYbKjkJGxoKucRqNBWFgY1q1bh4KCAgBAZmYmr6uTxUlL\nS8Mvv/yC9PR02VHMypkzZ5CUlISSkhIAwA8//AAHBweEhIRITkbGxoJOePnll3Hz5k28//77CAkJ\nQdOmTTFs2DDcunVLdjSix8rKykL//v3Rpk0b6HQ6eHl5oX///sjOzpYdzSwsX74cvXr1QqtWrfDe\ne+/h+++/R0hICGrXri07GhkZCzqhffv2cHBwwH/+8x9cuXIFX3/9Nc6fPw9HR0fZ0aiGKWH61IiI\nCKSkpCAqKgoZGRmIiopCSkoKRowYITuaWZg2bRp27NiB4OBgzJ07F6dOnULbtm1lx6IawLHcCQAw\nevRofPvtt4iNjUWDBg1kxyETiY6Otuh70dPS0hAXF4eoqCgMHz4cADB8+HAIIRAREYH09HR4enpK\nTimXVquFv78//P39YW9vjyVLluDtt9+WHYtqAM/QCQDw4YcfQgiBlStXyo5CVGlnzpwBAAQEBJR7\nPjAwEABw+vRpk2cyV4WFhVi1ahUiIyNRp04d2XGoBrCgEwDA1dUVoaGhWLx4MYQQsuMQVUrr1q0B\nADt27Cj3fFJSEgDAw8PD5JnMVWxsLK5cuYLIyEjZUaiGsMmd9MaMGYMBAwYgNTUVTz31lOw4VAOU\nNh+6l5cXdDodJk6cCCEEAgMDkZSUhL///e/Q6XSqb24va/HixejevTs6duwoOwrVEBZ00gsODoa7\nuzvmz5+PxYsXy45DNUCJ86FHRUVhxIgRiIiI0D+n0+kQFRUlMZV5OXv2LOLi4rBw4ULZUagGscmd\n9KytrfH6669j1apVuHbtmuw4RJXi7OyM2NhYfQe5tLQ0xMbGwtnZWXY0szF//nw4OTnpOw6SMrGg\nUzmvvvoqhBA8QyeL4+npiX79+rGZ/T55eXlYvHgxIiMjOdSrwrGgUzkuLi4ICwvD/PnzUVxcLDsO\n1TBLul5Ohlm1ahWuX7+O8ePHy45CNYwFnR7w5ptv4vz581i3bp3sKFTDzLGgcwhX4ykpKcGsWbMw\nYMAAtGrVSnYcqmEs6PSAp556Cs8//zw+//xz3sJGJsMhXI1v06ZNOHHiBKZMmSI7CpkACzpVaMqU\nKUhNTcW2bdtkRyGV4BCuxiWEwGeffQZfX1/4+vrKjkMmwNvWqEJBQUF48skn8dlnnyEoKEh2HFI4\nDuFqfLt27cKePXss/rZEqjyeoVOFNBoNpk6dim3btiElJUV2HFI4DuFqfJ9++ik6dOiA/v37y45C\nJsKCTg81ePBgdOjQAdOmTZMdhRSOQ7gaV3JyMrZs2YJp06ZBq+VuXi34f5oeysrKCh999BG2bt2K\nXbt2yY5DNcBcpk8tO4RrVFQULly4gKioKA7haqAPP/wQnTt3xuDBg2VHIRNiQadHevHFF9GlSxd8\n+OGHsqNQDTCXgg7cHcLVx8cHERERaNasGSIiIuDj48MhXKsoMTER27dvx/Tp03l2rjLsFEePpNVq\nMX36dAwaNAgJCQnsIEc1pnQI1/T0dJw+fRoeHh48M68iIQTef/99eHt7Y+DAgbLjkImxoNNjhYaG\nomfPnnjnnXewf/9+WFlZ6X8nhIBGo5GYjpTG09PTIgp5Wloazpw5I/XA4/7v388//4zk5GTEx8fz\ne6lCbI+hx9JoNPjPf/6DQ4cO6Zs/T548CZ1OhwULFkhOR1URHR2N0NBQ/U/p9KmlP+bUBG+uzGUA\nnLy8PHh7e2PevHkoLi5GYWEhpkyZgr59+7IlTa0EWaSQkBCTb3Po0KHCzc1NvPHGG8La2lq0bNlS\nbNq0yeQ5yHhkfI6EEOLUqVMiLi5OpKWlSdl+deh0OlG/fn0RFRUlMjIyRFRUlKhfv77Q6XQmzZGd\nnS1effVVodFoRIcOHcT48eOFVqsVR44cMWmOUrI+S/T/saBbKBlfnqNHjwoAwtbWVnz66aciPz/f\n5BnIuAz9HBlakK9duyZ0Op0AoP/R6XQiKyvLoBymdurUKQFAREVFlXt+xYoVAoCUA5T9+/cLHx8f\nAUA888wzJt9+KRZ0+djkTpXWoUMHhIaGQqPRYNiwYahVq5bsSGRi1W1utvThXc1xABxvb2907twZ\n9vb2WLhwocm3T+aDBZ2qZOXKlXBxccFbb70lOwoZQVVnW6tOQS4d3nX27NkYPnw43N3dMXz4cPz3\nv/9FXFycRcyuZo4D4Ozbtw+LFi3C559/jk6dOpl8+2RGZDcRkGFkNm/99NNPAgCvn6tMdZub4+Li\nBACRkZFR7vmMjAwBQMTFxRk9c00ovYa+YsUKkZGRIVasWCHlGroQQty5c0d0795ddOnSRRQVFZl8\n+2WxyV0+nqFTlQ0ePBi9e/fGm2++idzcXNlxyESq29xsjme3hjCnAXC+/fZb/P7775g3bx6srXkX\nstqxoFOVaTQazJ8/H5cuXeIIcipS3YKslOFdSwfAKb2EkJaWhtjYWDg7O5s0x4ULFzB58mS89tpr\nnB6V7pLdRECGMYfmrS+++EJotVqRkpIiOwqZSHWbm7Oysiy6l7u5KCkpETqdTjRp0kRcv35ddhwh\nhHnsk9ROI4QQko8pyAChoaHS5zkuLi7GM888g7y8PKSmpsLOzk5qHqp52dnZGDFiBOLi4vTP6XQ6\nREVFVekMlcO7Vs/KlSsxYsQIbNy4ESEhIbLjADCPfZLascmdDGZtbY3FixcjLS0NM2bMkB2HTMBY\nzc2enp7o168fhBD45ZdfpPdwT0tLM4sclfHnn39i4sSJePnll82mmJN5YEGnauncuTM++ugjfPbZ\nZ0hOTpYdh0yktCAbenZtLsOnmkuOyhJCYMyYMbC1tcXcuXNlxyEzw4JO1TZlyhR9r9+bN2/KjkNV\nIGvsdnMZYMZcclTWvHnzsGXLFixduhQNGzaUHYfMjdxL+GQoc+uAcubMGeHo6ChGjx4tOwpVgYzP\n0ebNm81i+FRzHMb1UY4fPy5q1aolJkyYIDtKhcxtn6RGPEMno2jVqhVmz56NpUuXcsYuqlBp83bf\nvn0ByB8+1RyHcX2Y/Px8hIWFoUWLFpg5c6bsOGSmWNDJaEaNGoXhw4dj7NixOHXqlOw4ZGZKm7e/\n+OILAPIHmLGkgW4mTpyItLQ0/Pjjj3BwcJAdh8wUhxYio9FoNPjmm2+wb98+DB06FCkpKdz5mJno\n6OhyLSil86GXGjZsWJXHd6+M0l7xUVFRGD58OH799VdMnDgRQggEBgYiKSnJ5APMlB3oRmaOx4mK\nisJ3332H7777jmO106PJbvMnw5jz9arDhw8Le3t7MWbMGFFSUiI7Dj2CqT5H94/jLmOAmYqmfDX3\ngW6OHTsmHBwcREREhNl/l8x5n6QWbHIno+vUqRPmz5+PJUuW4Jtvvin3u927d+PKlSuSkslnSfc7\nG9P9zdul97OXNr9v3bq1xoZPfdStaeYyjCsAbN68GQUFBfrH169fx6BBg9CiRQssWLAAGo3G5JnI\nwn+AWVoAACAASURBVMg+oiDDWMLR8BtvvCGsra1FUlKSEEKI77//XtjY2Ii3335bcjLTu3btmlme\nCT7sc1TR2Wx1yZqlrHS7UVFRIiMjQ0RFRYn69euLgIAAo79HQ126dEnY29sLX19fkZmZKYqLi0Xf\nvn1FvXr1RHp6uux4lWIJ+ySlY0G3UJbw5SksLBS9evUSDRs2FK+//roAIF599VVRUFAgO5rJPayo\nyJhys6xVq1aVe1yTBx6ymtlx361p165dE127djW7g6vdu3cLV1dX0aJFCzFmzBih1WrFli1bpGaq\nCkvYJykdC7qFspQvz5UrV0SdOnUEAPGvf/3L7K8D1gRLut/ZFAceaWlpJjszrmgOdnM9uBJCiHPn\nzgl3d3cBQEydOlV2nCqxlH2SkrGgWyhL+vL89NNPwt7eXuh0OlFUVCQ7jslVVFSEECIjI0MAEHFx\ncZKSlWdJBx6Vdf97Mvf3uH37dmFtbS169Ogh7ty5IzVLVVnSPkmp2CmOatyQIUOwfv16bNmyBW++\n+SaEyib4s5T7nS1poJXKun8O9pSUFADm+R6PHz+OF154Ab169cLOnTuh1XL3TFXDTwyZRJ8+fbBw\n4UJ88803+p7NanF/Ublw4QKioqLM7n5nSznwqKqoqCj9XAOvvPIKAPN7j3/99Rd0Oh3c3d2xZs0a\n2NjYSMlBFk52EwEZxlKbt95//30BQCxevFh2FJMy9/udS8nqiW4KpdfuAwMDzeo9ZmVlic6dO4sm\nTZqI8+fPS8lgDJa6T1ISFnQLZalfnpKSEjFu3Dih1WrFmjVrZMcxOVN2CKuM+3u5W8qBR3WY03u8\ndeuWeOaZZ0T9+vXF0aNHTb59Y7LUfZKScOhXMimNRoO5c+fi+vXrCA8Px6ZNm9C7d2/ZsUzG09PT\nbJrYgbtDwZYd6rV0oJX09HScPn0aHh4eZpU3LS0NZ86cqVYuc3mPBQUFePHFF3HkyBFs374dHTp0\nMHkGUhYWdDI5KysrLF++HDdv3sSgQYMQFxen75RE5sFYBx6GFuD7l8vKykJERATi4uL0r9HpdIiK\niio3qltVtifz4KqwsBBhYWFISkrCL7/8gu7du0vJQcrCTnEkhY2NDdasWYOePXtCp9PpOyWRMjxq\nuFVDlgsLC0NKSgqioqKQkZGh77E+YsSIam1PhtJiHhcXh7Vr1+LZZ5+VHYmUQnabPxlGKdercnNz\nRVBQkHBwcBCJiYmy4yjeqlWrREhIiP4HQLnH919TN5Shg7dUtJyTk9Nj7x0358FiyiooKBAvvPCC\nsLW1FTExMbLjGJVS9kmWjAXdQinpy1O2qG/btk12HFWpic+RoYO3PGy5d95555ED83z77bdmPVhM\nqfz8fDFw4EBFFnMhlLVPslRscifpHBwcsGHDBvj5+UGn02HDhg2yI1E1GDpATdnlys5KN2DAAAAP\nv3e8dBayh20vMTFR+gx3OTk5GDBgALZs2YKff/5Z/56IjIkFncyCg4MDNm7ciNDQUAwePBjLly+X\nHYkMZOgANaXLhYaGlrsW/tZbb0Gj0Tx0YJ7SQn7/9mJjY6HVajF27Fip19WzsrIQFBSE3377DZs3\nb4ZOpzPp9klFZDcRkGGU2rxVXFwsIiMjBQDx1VdfPfD7xMREkZ2dLSGZMlV0zdwYU6caOkBNo0aN\nhJOT0wPX0F1dXR9573hF27OzsxP16tUz2XX1zZs3i/z8/HLPXbhwQXTs2FE0bNhQ7Nu3r0a2ay6U\nuk+yJCzoFkrJX56SkhIxefJkAUC89dZbori4WAghxP79+4WDg4Mq51M3BWNOnWrI4C2Vufb+sIF5\nKtre49ZlTH/99ZdwcHAQ4eHh+hkFDx48KJo2bSrc3d3FiRMnjLo9c6TkfZKlYEG3UGr48sybN09o\ntVoxaNAgcfr0adG0aVPRvXt3kZeXJzuaItVET/HKjIxX2iKwaNGias9KV7o9Y6yrqn744QcBQHz8\n8cdi8+bNwtHRUXh7e4s///zT6NsyR2rYJ5k7FnQLpZYvT0xMjLC3txe1a9cWbm5uqtk5mpqMaUUr\nahHQarVi4cKF1c5Q9v2UvYRQ0z3fp0+frn8f/fv3Fzk5OTWyHXOkln2SOeNIcWTWBgwYgBUrVuDl\nl1+Gg4MDLl68CDc3N9mxFKcyPdONPapaRESEfrCYgIAA7NixA2+88QYmTpwIBwcHBAYGIikpyaBZ\n6by8vBAUFITIyEgUFBTon7ezs0Pv3r1rZIS4oqIi/PXXXwCATp06Yf369bC25i6WTIe93MnsDR48\nGH/88QdatWoFf39/9oCvAaaeOjUtLQ1xcXGYPXs2hg8fDnd3dwwfPhxz5sxBQUEBIiIi0KxZM0RE\nRMDHxwdRUVFV3oZGo4G9vX250eXs7e2N+j5KZWZmIigoCIsWLcK8efNw4MABFnMyPdlNBGQYNTZv\n5efni1GjRuk7yxUWFsqOZPHK9nI35dSpcXFxj7zGvWjRomr1tDflJYTff/9dNGvWTLi6uoqdO3ca\nbb2WRo37JHPDM3SyGLVq1cKSJUswe/ZszJ07FwEBAcjIyJAdy6JFR0fr/zsqKgo+Pj5GOTt+nMe1\nCAQGBqJfv34GN40bOrhNVQghMHfuXPj6+sLV1RX79u2Dn59ftddLZCgWdLIoGo0Gb775Jnbu3Ik/\n//wTTz75JGJjY2XHUoTSaUVLm8PT0tIQGxtbbjYzY/Hy8oJOp3voYDHVvcZd05cQbty4gZdffhlv\nvvkmxo0bh127dsHd3b1a6ySqNtlNBGQYNm/d7SU9YMAAAUC8/fbb4vbt27IjWRyZnyND7lWvipq6\nhJCSkiI8PDxE3bp1xZo1a4ySVQm4T5KPvTbIYtWvXx8bNmz4f+3deVAUZ/4G8KdbboIGDw6jIKcY\nQFdBXdFE46prKlFkPTbG213NoUFXk020PAhl8FhjjIYtj8T1CMkaj1KMR1YSdWvdRYm67HiAR8KI\niDcqCCgw398f+dFxAuIwgOO0z6eKUl7e7nl7aqaft99+uxsfffQRZs6cib179+Lzzz9HZGSkrZvW\n4Kx9zviXX35pNsy+Y8cODBw4UPt9+PDhGD58eL229UEqRwTOnDmDs2fPVrst1m4n8NMphJEjR2LU\nqFFaWeUz1K1RXl6OefPmYd68eYiKisKePXu0kQCix4KtexRkHfaGzWVmZkpERIQ4OTnJhx9+KBUV\nFbZuUoOoz7u5iTy+n6P62s7s7GxZvXq1rF69uk4T4U6fPi1du3aVRo0aydy5czkhsxqP62fpScJz\n6KQL7du3R0ZGBiZPnozp06ejZ8+eyM7OtnWz6t39125XXoqVnp6OkSNH2rpp9aqu23njxg289NJL\naNu2LSZMmIAJEyZg6tSptX4wS0VFBZYsWYIOHTrg+vXrOHjwIBISEuDo6GjNZhE1LFv3KMg67A0/\n2L59+yQoKEicnZ1l/vz5UlZWVqVOUVGRpKamavfdtgcNcSmWrT5HNT0Apj6209Lb2F6+fFm+/fbb\natdhMBikS5cuoiiKxMfHP1F3fbMG90m2x0C3U/zy1OzOnTvyzjvviKqq0qlTJ8nIyDD7+5w5c8TZ\n2VkuXLhgoxbW3sOu3bbm/uTVPW2tIVkylF7X7axNh2Dy5Mni6ekp165d08qKi4tl7ty54ujoKGFh\nYXLw4MG6bPITg/sk2+OQO+mSm5sbFi1ahEOHDqGiogJdunTB66+/juvXr8NoNGLRokWYNm0annnm\nGVs31WINcSnWo5oAV8mSofS6bmdtrkGfPXs2KioqMGfOHADA119/jYiICCQlJeHdd9/Ff//7X8TE\nxFizqUSPnq17FGQd9oYtV1ZWJsuWLZPGjRtLs2bNJDo6Wnx9fe1yCPVR3s3NGvU1lF6X7aztkP3i\nxYtFVVXp2bOnAJC+fftKVlZWbTabhPukxwED3U7xy1N7ly5dktjYWAEgfn5+snfvXls3qdYa+tpt\na9X3UHpdt9PSDsGNGzfkT3/6kwAQV1dX2bx5s13Nq3iccJ9kewx0O8Uvj/XWrFkj3bp1EwDy4osv\nyvHjx23dpFqz5Dnjj5Ilk9Csmexm7XY+rENw9+5dWbp0qTRt2lTc3d1l8uTJcunSJSu2nCpxn2R7\nDHQ7xS9P3ZhMJtm8ebMEBQWJqqoyZswYOXfunK2b9cjVx6S4BwX1okWLBID84x//0MosOXKuadi+\ntn7ZISgrK5O1a9dKYGCgqKoqEyZMkIsXL9b5dYj7pMcBA91O8ctTP+7evSvLli0THx8fcXBwkD/+\n8Y+Sk5Nj62Y9MvXxOfrlUHpNw+81HTnX901z7ldeXi4pKSkSGhoqACQuLk4MBkOd10s/4z7J9jjL\nnZ5oTk5OeOutt3Du3DksWLAA27dvR0hICCZOnIgzZ87YunmPhdOnT2P37t0PfD9+OSu9ppnsNT0A\npiFumnPv3j2sW7cOkZGRGDFiBEJDQ3HkyBFs3boVERERVq+X6LFk6x4FWYe94YZRWFgoCxcuFG9v\nb1EURYYMGVLlGnY9qelzVJsj5sqh9Mph9gedJ3/QLVjr+6Y5hYWF8tFHH0mrVq0EgLz88suSnp5e\nq3VQ7XCfZHsMdDvFL0/DKikpkZUrV0pQUJAAkF69esmWLVuqvetcpXHjxsnKlSsfYStr74svvpAB\nAwZoPwDMfr//nLqld1sTqToJ7UEz2R/UMbBkBvzly5elX79+cvjw4QduX05Ojvz5z38WT09PcXBw\nkFGjRnFo/RHhPsn2GOh2il+eR6O8vFy++uor6d69uwCQ1q1bS1JSkly5csWsXn5+vqiqKitWrLBR\nS63zoM+RtUfM33zzTY3LHThwwOoZ8OXl5dKyZUuZNGmSWR2TySRpaWkSGxsrqqpKkyZNZNq0aWI0\nGi1+H6juuE+yPQa6neKX59E7evSojB8/XlxcXMTJyUmGDRsme/bskfLyclmyZIk4OTnZ/Hrw2nrQ\n56gut1+tbia7p6enWYBbezOZt99+W5o1ayZ3796VvLw8SUpKkuDgYAEgERERsmLFCikqKrL27aA6\n4D7J9hjodopfHtu5du2afPjhh/Lss89qR+3e3t7Sr18/Wzet1ur7CF2k+mvAe/fubdbZsfZmMocO\nHRIAEh0dLaqqiqurq4waNUr279/PG8LYGPdJtsdAt1P88tieyWSSQ4cOyahRo7QA6tixoyxcuNBu\nLn2r6Tr0ut5m9vTp07Jq1ao630zm3r17snPnThk1apR4eHgIAPHx8ZEVK1bIzZs3a7G11JC4T7I9\nBrqd4pfn8XLt2jXZuHGjDB06VFxcXASAdO3aVT744AMxGAx2efRYX7eZtaZjcPv2bdm8ebOMHj1a\nmjZtKgAkLCxM3n//ffn+++/rumnUALhPsj0Gup3il+fxdfv2bfn8889l8ODB4u7uLgAkMDBQpkyZ\nIrt27arVOV6TySRBQUGyYcOGBmxxzWp7+1WTySRRUVGyfPlyEbGsY2AymSQrK0uWL18u/fv3Fycn\nJ+28+MyZMyUzM9MuO0VPEu6TbM+hPq9pJyLAw8MDI0aMwIgRI1BaWor9+/cjNTUVW7ZswccffwxH\nR0fExMSgb9++eOGFFxAVFQVnZ+dq15Wbm4tz587h6aeffsRb8bOQkBCEhIRYXF9RFIgIjh07BgDa\nzWTOnDmDs2fPIjg4GCEhIbhw4QL27NmDvXv3Ii0tDbm5uXB0dESPHj2waNEiDBgwAIGBgQ21WUS6\nw0AnakAuLi7o378/+vfvj+TkZGRnZyMtLQ179+7FwoULMWvWLDg7O6Nz587o3r07unfvjujoaPj6\n+gIADAYDACAyMrLe21ZcXIysrCyEhYXBzc2tXtcdGRmptR0A7t69i8LCQvzwww/YsGEDDh48iPPn\nzwMAIiIiMGTIEPTp0wfPP/88nnrqqXptC9GTgoFO9IgoioKwsDCEhYVh8uTJKCsrQ2ZmJg4ePIiD\nBw9iw4YNWLhwIQDA29sbnTp1QmlpKVxdXXHr1i2UlpbCxcWl3tqTlZWFqKgoHDlyBJ06daqXdYoI\nLl26BFdXV2RmZmL8+PE4duwYTpw4gbKyMjg6OiIqKgpDhw5F9+7dERMTA29v73p5baInHQOdyEYc\nHR0RHR2N6OhoTJkyBSKC3NxcHD16VPtJT09HSUkJOnToAFVVERAQgHbt2iEwMBD+/v5o06YN/P39\n4efnh2bNmkFVG/7xDCUlJbh48SKMRiNycnKQk5MDo9GI7OxsZGVl4datW1rdjIwM/PrXv8bEiRPR\nqVMntG/fHq6urg3eRqInEQOd6DGhKAr8/Pzg5+eHQYMGaeXnz59Hbm4uTp06haysLGRlZSEtLQ05\nOTkoLi7W6jVq1AgtWrSAl5cXvLy80LRpU3h4eKBx48bw8PCAh4cHnJyc4OjoCAcHB+Tl5QEAtm/f\njoyMDJSVlaG8vBzFxcW4ffs2CgsLUVhYiFu3buHq1au4cuUKLl++jKKiIrM2+/r6wt/fH23btsWg\nQYMQFhaG4OBgBAQEwN3d/dG9gURPOEVExNaNoNobOHAgUlNTbd0MsiERwfXr12E0GnH+/HktcCv/\nLSgo0EL59u3bKCoqwr1791BeXo6ysjKzdamqqgW9m5ub1gGo7AxUdhK8vb3h5eWlhXjr1q0fOKGP\nnizcJ9kej9CJ7JSiKGjevDmaN2+OqKioWi0rIigqKsLJkycRHh7OiWhEOsBAJ3oCKYoCDw8PdO3a\n1dZNIaJ60vAzaIiIiKjBMdCJiIh0gIFORESkAwx0IiIiHWCgExER6QADnYiISAcY6ERERDrAQCci\nItIBBjoREZEOMNCJiIh0gIFORESkA7yXu53asWMHBg4caOtmEBEBAJ9z/xhgoNspPvWWiIjuxyF3\nIiIiHWCgExER6QADnYiISAcY6ERERDrAQCciItIBBjoREZEOMNCJiIh0gIFORESkAwx0IiIiHWCg\nExER6QADnYiISAcY6ERERDrAQCciItIBBjoREZEOMNCJiIh0gIFORESkAwx0IiIiHWCgExER6QAD\nnYiISAcY6ERERDrAQCciItIBBjoREZEOMNCJiIh0gIFORESkAwx0IiIiHWCgExER6QADnYiISAcY\n6ERERDrAQCciItIBBjoREZEOMNCJiIh0gIFORESkAwx0IiIiHWCgExER6QADnYiISAcY6ERERDrA\nQCciItIBBjoREZEOMNCJiIh0gIFORESkAwx0IiIiHWCgExER6QADnYiISAcY6ERERDrAQCciItIB\nBjoREZEOMNCJiIh0gIFORESkAwx0IiIiHWCgExER6QADnYiISAcY6ERERDrAQCciItIBBjoREZEO\nMNCJiIh0gIFORESkAwx0IiIiHWCgExER6QADnYiISAcY6ERERDrAQCciItIBBjoREZEOMNCJiIh0\ngIFORESkAwx0IiIiHWCgExER6QADnYiISAcY6ERERDrAQCciItIBBjoREZEOMNCJiIh0gIFORESk\nAwx0IiIiHWCgExER6QADnYiISAcY6ERERDrAQCciItIBBjoREZEOMNCJiIh0gIFORESkAwx0IiIi\nHWCgExER6QADnYiISAcY6A3g008/Ra9eveDj4wMXFxf4+/tj+PDhOHnyZK3XdevWLXh5eUFVVWzd\nutXi5VJTUxEVFQVXV1f4+/sjISEBFRUVtX59IiKyDw62boAeHTt2DIGBgYiNjYWnpyd+/PFHrFq1\nCjt37sSRI0cQEhJi8bpmz56N0tJSKIpi8TK7d+9GXFwcevfujU8++QQGgwHz5s3D1atXkZycbM0m\nERHRY04REbF1I54ER48eRXR0NObMmYOEhASLljl+/Dg6deqEuXPnYs6cOdi0aRN+97vfPXS58PBw\nuLi4ICMjA6r60yDM7NmzMX/+fJw8eRKhoaF12RQiInoM1XrIPSEhAaqqIjs7G8OGDUOTJk3QvHlz\nTJ06FXfv3v15xaqK+Ph4fPXVVwgPD4ebmxtiYmJgMBgAACtWrEBISAhcXV3Ru3dvnD9/3ux1/vWv\nf2HYsGHw9/eHi4sL/Pz8MG3aNJSWllZp06ZNmxAeHg5XV1e0b98e27Ztw9ixYxEQEKDVMRqNUFUV\nS5YswdKlS9GmTRu4ubmhV69eOHHihFZv7dq1UFUVmZmZVV4nKSkJDg4OyM/Pr+3bBn9/fwCAo6Oj\nxctMmTIFgwcPRo8ePWBpv+vUqVM4deoUJk6cqIU5ALz55pswmUzYvHlz7RpORER2odZD7pVDv8OG\nDUNAQAAWLFiA9PR0LFu2DDdv3sTatWu1ugcOHEBqaiomTZoE4KdAHDBgAKZOnYrPPvsMkyZNQkFB\nARYuXIjx48cjLS1NW3bTpk0oKSnBm2++iWbNmuHw4cNYvnw58vLysHHjRq3ezp078corr6BDhw5Y\nsGABCgoK8Ic//AHPPPNMtcPU69atQ1FRESZPnozS0lJ8/PHH+M1vfgODwYAWLVpgyJAhmDRpElJS\nUtChQwezZb/44gv07t0bvr6+Fr1XN27cQEVFBYxGIxITE+Hj44OxY8datOymTZuQnp6OrKws/PDD\nDxYtA/w03K8oCqKioszKfX190apVKxw7dszidRERkR2RWkpISBBFUSQuLs6sfNKkSaKqqhgMBhER\nURRFXF1d5fz581qdVatWiaIo4uvrK3fu3NHKZ86cKaqqitFo1MpKS0urvPaCBQukUaNGkpubq5VF\nRkaKn5+fFBcXa2X//Oc/RVEUCQgI0MpycnJEURRxd3eX/Px8rfzw4cOiKIpMnz5dK3v11VelVatW\nZq999OhRURRF1q9f//A36f+5uLiIoiiiKIoEBwdLdna2RcuVlJSIv7+/zJo1S0RE9u/fL4qiyJYt\nWx667OLFi0VVVblw4UKVv3Xp0kViYmIsbj8REdkPq2a5K4qiHXVXeuuttyAi2LVrl1bWp08ftG7d\nWvu9a9euAIChQ4fCzc2tSvn9R6LOzs7a/4uLi3H9+nV069YNJpNJO8rMz8/H8ePHMWbMGLi6umr1\nn3vuOURGRlbb9ri4OPj4+Gi/d+7cGV27djVr9+jRo3Hx4kXs27dPK0tJSYGbm5tF57Ar7dmzB7t3\n78aSJUtQWlqKfv36IS8v76HLzZ8/H+Xl5ZgxY4bFr1WppKQEgPn7V8nFxUX7OxER6YvVl60FBweb\n/R4UFARVVZGTk6OV3R/mANCkSRMAQKtWraqUiwgKCgq0stzcXIwdOxbNmjXDU089hRYtWqBXr15Q\nFAW3bt0C8NN58crXflj7aioPDQ01a3ffvn3h4+ODlJQUAICI4O9//zsGDRoEd3d3AMCdO3dw+fJl\n7efatWtV1tuzZ0/89re/xdSpU3HgwAFcuXIFiYmJ1barUk5ODhYvXoykpCSzTo+lKjs2989nqFRa\nWmrW8SEiIv2ot+vQqztf3ahRo2rrPqhc/n/il8lkQp8+fbB7927MmDED27dvR1paGtatWwcRgclk\nqq9mV0tVVbz66qvYsmUL7t27h++++w4XL17EyJEjtTqLFy+Gr6+v9tOlS5ca1xkYGIiOHTvi0KFD\nNdabM2cOWrVqheeffx5GoxFGo1GbhHf16lUYjcYaJ8hVnt+vbuJefn4+WrZsWePrExGRfbL6OvQz\nZ85oM7cB4OzZszCZTGYzy61lMBhw5swZbNiwASNGjNDK7580B/w8c/zs2bNV1lFdWWW7f+n06dNo\n06aNWdno0aOxZMkS7NixA7t27YKXlxf69eun/X3MmDF47rnntN8tOfItKSkxm3lendzcXJw9exaB\ngYFm5Yqi4I033oCiKCgoKEDjxo2rXf5Xv/oVRATff/89oqOjtfL8/HxcuHABr7/++kPbSURE9seq\nQBcRJCcno0+fPlrZsmXLoCgKXnzxxTo3qvII/pdH4kuXLjUbCfD19UVERATWr1+PGTNmaEPUBw4c\ngMFgqBLSALBt2zZcvHhRO1I9fPgwDh06hGnTppnVi4yMRGRkJFavXo309HSMGzfOLIzbtGlT7for\nKipQWFiIp59+2qz88OHDMBgMVeYeZGdnw83NTTs98cEHH1QZvj9+/Dhmz56Nd999F926ddOG/cvL\ny3Hu3Dk0adJEmxfw7LPPIiwsDKtWrcJrr72mvV9//etfoaoqBg8eXKXNRERk/6w+Qv/xxx8RGxuL\n/v3749///jdSUlIwcuRIRERE1LlRYWFhCAoKwvTp03HhwgU0btwYW7Zswc2bN6vUTUpKwqBBgxAT\nE4Nx48bhxo0bSE5ORmRkJIqKiqrUDw4ORo8ePfDGG29ol621aNEC77zzTpW6o0ePxttvvw1FUcxG\nCmpSVFSE1q1b4/e//z3Cw8Ph7u6O//3vf1i7di18fX3x3nvvmdVv164devXqhe+++w4AEBMTU2Wd\nlXMMOnfujIEDB2rleXl5aNeuHcaOHYs1a9Zo5X/5y18QGxuLvn374pVXXoHBYEBycjImTJiAtm3b\nWrQdRERkX6ye5b5x40Y4OztjxowZ2L17N+Lj4/Hpp5+a1anuvHpN5ZUcHBzw9ddfo2PHjliwYAES\nExPRtm1brF+/vspyL7/8Mr788kuUlZXhvffew9atW7FmzRqEhobCxcWlSv3Ro0cjPj4eycnJmD9/\nPiIjI/Htt9/C29u7St0RI0agUaNGaNu2rdnwdU3c3NwwYcIEHDlyBImJiYiPj8eePXswfvx4ZGRk\nmM2wr+n9+KUH1alu+Zdeeglbt25FQUEB4uPjsW3bNsyaNQuffPKJRdtARET2p9a3fn3//feRmJiI\nq1evomnTpg3Vrjrr2LEjvLy88M033wD4aUZ8QEAAFi9eXGV4/UGuX78OX19fJCQkYObMmQ3ZXCIi\nojqx+6etlZeXV3mK2P79+5GZmYkXXnihTuv+29/+BpPJZDa7nYiI6HFk909by8vLQ58+fTBy5Ei0\nbNkSp06dwsqVK9GyZUu89tprVq1z3759OHHiBJKSkhAXFwc/P796bjUREVH9svtA9/T0RHR0v/Ne\n5AAAAEBJREFUND777DNcvXoV7u7uGDBgAObPnw9PT0+zupaer05MTMR//vMf9OjRA8uWLWuophMR\nEdUbPj6ViIhIB/4PJ5U0cHy3ZGoAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename='Chapter_12-ps12-3.dat.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 3b" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To separate by polarity, one could just sort by inclination and put all the negative ones in one group and all the positive ones in the other. But a more general approach (which would allow southward directed declinations with positive inclinations, for example, would be to read the data into a Pandas DataFrame, calculate the principal direction of the entire dataset using goprinc.py and calculating the directions rotated to that reference. Then all positive inclinations would be one polarity (say, normal) and the other would all be the reverse polarity. So, here goes." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import pmag # this has a bunch of useful functions. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "data=pd.read_csv(\"Chapter_12/ps12-3.dat\",delim_whitespace=True,header=None)\n", "data=pd.DataFrame(data) # make a Pandas DataFrame\n", "data.columns=[\"Dec\",\"Inc\"] # Assign column headers\n", "# make an array of decs and incs using numpy\n", "DIblock=np.array([data[\"Dec\"],data[\"Inc\"]]).transpose()\n", "# send this to doprinc in pmag" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " gets principal components from data in form of an array of [dec,inc] data.\n", " \n" ] } ], "source": [ "print pmag.doprinc.__doc__" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Principal direction declination: 348.5\n", "Principal direction inclination: 25.5\n" ] } ], "source": [ "# calculate the principle direction for the data set\n", "principal=pmag.doprinc(DIblock)\n", "print 'Principal direction declination: ' + '%7.1f'%(principal['dec'])\n", "print 'Principal direction inclination: ' + '%7.1f'%(principal['inc'])\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "data['principal_dec'] = principal['dec'] # assign these to the dataframe\n", "data['principal_inc'] = principal['inc']\n", "principal_block=np.array([data.principal_dec,data.principal_inc]).transpose()\n", "data['angle'] = pmag.angle(DIblock,principal_block) \n", "# get the angle from each data point to the principal direction\n", "data.ix[data.angle>90,'polarity'] = 'Reverse'\n", "data.ix[data.angle<=90,'polarity'] = 'Normal'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that polarity is assigned using the angle from the principal component, let's filter the data by polarity." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " call to fisher_mean(data) calculates fisher statistics for data, which is a list of [dec,inc] pairs. \n", " \n" ] } ], "source": [ "normal_data = data.ix[data.polarity=='Normal'].reset_index(drop=True)\n", "reverse_data = data.ix[data.polarity=='Reverse'].reset_index(drop=True)\n", "NormBlock=np.array([normal_data[\"Dec\"],normal_data[\"Inc\"]]).transpose()\n", "RevBlock=np.array([reverse_data[\"Dec\"],reverse_data[\"Inc\"]]).transpose()\n", "print pmag.fisher_mean.__doc__" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean normal declination: 357.6\n", "Mean normal inclination: 27.8\n" ] } ], "source": [ "norm_stats= pmag.fisher_mean(NormBlock)\n", "print 'Mean normal declination: ' + '%7.1f'%(norm_stats['dec'])\n", "print 'Mean normal inclination: ' + '%7.1f'%(norm_stats['inc'])\n", "\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean reverse declination: 160.1\n", "Mean reverse inclination: -23.2\n" ] } ], "source": [ "rev_stats= pmag.fisher_mean(RevBlock)\n", "print 'Mean reverse declination: ' + '%7.1f'%(rev_stats['dec'])\n", "print 'Mean reverse inclination: ' + '%7.1f'%(rev_stats['inc'])\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's check if the data are Fisher distributed using our old friend fishqq.py" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3 saved in Chapter_12-ps12-3.dat_unf2.png\n", "1 saved in Chapter_12-ps12-3.dat_unf1.png\n", "2 saved in Chapter_12-ps12-3.dat_exp1.png\n", "4 saved in Chapter_12-ps12-3.dat_exp2.png\n" ] } ], "source": [ "!fishqq.py -f Chapter_12/ps12-3.dat -sav -fmt png" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "ename": "NameError", "evalue": "name 'Image' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mImage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilename\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m\"Chapter_12-ps12-3.dat_unf1.png\"\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mwidth\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m400\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;31mNameError\u001b[0m: name 'Image' is not defined" ] } ], "source": [ "Image(filename=\"Chapter_12-ps12-3.dat_unf1.png\",width=400)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3XdYFNf6B/DvDIt0UYMgIEizxoJiBQWxgN3EoFhibyE3\nN5EYezdqbFETo4ktAlFsaCwxXgMqGg02DMmNIlZsgBoUBKRzfn/4Y6+bXRQQXFi/n+fZ58m+c+bM\nO8vGd2fmzBlJCCFARERElZqs7QSIiIjo1bGgExER6QAWdCIiIh3Agk5ERKQDWNCJiIh0AAs6ERGR\nDmBBJyIi0gEs6ERERDqABZ2IiEgHsKATERHpABZ0IiIiHcCCTkREpANY0ImIiHQACzoREZEOYEEn\nIiLSASzoREREOoAFnYiISAewoBMREekAFnQiIiIdwIJORESkA1jQiYiIdAALOhERkQ5gQSciItIB\nLOhEREQ6gAWdiIhIB7CgExER6QAWdCIiIh3Agk70D8ePH4csy5g/f762U6mwbt26BVmWMWrUKJX4\niBEjIMsybt++raXMNCsqXyJdwoJOWifLMmRZhp6eHm7evFlkO29vb2XbkJCQ15hh2YuIiMBnn32G\nLl26wMLCArIsw9PTs1R9dezYEbIs48SJE2WcZclJkgRJkrSybVmW0alTpyKXazM3oteBBZ0qBH19\nfQDApk2bNC6/du0ajh8/Dn19fZ34R3nNmjVYuXIloqKiYGtr+0r7VJEK1eLFixEbGwtbW1ttp6LC\n1tYWsbGxWLRokbZTISo3LOhUIVhZWaFly5bYvHkzCgoK1JZv2LABkiShd+/eWsiu7E2dOhV//fUX\n0tPTsX//fgghtJ1SmbCyskK9evWgp6en7VRUKBQK1KtXD1ZWVtpOhajcsKBThTF27FgkJibip59+\nUonn5eUhODgY7u7uaNiwYZHrX7t2DcOGDUPt2rVhYGAAW1tbDB8+HNeuXdPY/sGDBxg9ejRq1aoF\nY2NjNG/e/KWn8h8/foxp06ahUaNGMDY2RrVq1dClSxeEh4eXaF/btGmDhg0bluuRtYODA5ycnPD0\n6VNMmjQJderUgaGhIerWrYulS5cWud65c+fg7++P2rVrw9DQEDY2NvD19cWuXbteuk1N19Cfv359\n69YtDBw4EDVr1oSRkRFatWqFgwcPqvXz5MkTLFu2DJ07d4adnR0MDAxgaWmJvn374vTp0yptg4OD\nIcsyJElCZGSk8rLM8+MgXnQNPSkpCf/617/g6Oio3M57772HCxcuqLUt3FZISAiOHTsGb29vVK1a\nFebm5ujVqxcuX76sts6DBw/w2WefoUGDBjA1NUX16tXRoEEDjBw5EvHx8S/9TImKS6HtBIgKDRo0\nCIGBgdi4cSP69OmjjO/btw8PHz7E0qVLcfXqVY3rnjt3Dl26dEFGRgb69OmDRo0a4fLly9iyZQv2\n7duHI0eOwM3NTdk+OTkZ7dq1Q3x8PDp06AAPDw8kJiYiICAAXbt21Vhob9++DS8vL9y+fRsdOnRA\n9+7dkZGRgZ9++gndunXD+vXrMXr06LL/YEpJkiTk5ubC19cXiYmJ6NGjBxQKBfbu3YupU6ciOzsb\ns2bNUllnw4YN+PDDD6FQKNCnTx/UrVsXDx48wPnz5/Htt9+if//+L91mUT9S4uPj0bp1azg7O2PY\nsGF49OgRduzYgXfeeQcRERHw8vJSto2NjcXMmTPh5eWFXr16oXr16rh9+zb279+PQ4cO4aeffoKP\njw8AoHnz5pg7dy7mzp0LBwcHjBgxQtlPx44dX5hvfHw8PDw8kJSUhE6dOmHw4MG4c+cOdu3ahYMH\nD2LPnj3o0aOH2j4eOHAA+/btQ48ePRAQEIBLly7h4MGDOH/+PC5duoQaNWoAADIzM+Hu7o6bN2+i\na9eu6NOnD4QQuHXrFvbv34/+/fvDwcHhhTkSFZsg0jJJkoSdnZ0QQogxY8YIfX19ce/ePeVyX19f\nUa1aNZGZmSlmzpwpZFkWwcHBKn00aNBAyLIstm3bphLfuXOnkCRJNGzYUCU+duxYIcuymDhxoko8\nOjpa6OvrC1mWxbx581SWeXl5CT09PbFz506VeGpqqnB1dRXGxsbiwYMHJd7/+Ph4IUmS6NChQ4nX\nFUKIjh07ClmWxfHjx1XiDg4OQpZl0atXL5GVlaWMP3jwQFSrVk1Ur15d5OXlKeOXLl0S+vr64q23\n3hKxsbFq23n+b1KY88iRI1XajBgxQsiyLG7duqXWVpZl8fnnn6u0P3z4sJAkSfTs2VMl/uTJE5Gc\nnKwxBxsbG9GoUSO1ZZIkCW9vb7X4i/L18fERsiyLL774QiUeFRUlFAqFsLCwEBkZGcp4UFCQkCRJ\n6Ovri2PHjqmsM23aNCHLsli2bJkyduDAASFJktr3TAghcnNzRXp6usZ8iUqDp9ypQhk7dizy8vLw\n/fffA3h2qjQiIgLvv/8+DA0NNa7z22+/IS4uDu7u7hg4cKDKsv79+6N9+/aIi4vDyZMnATw7hR8a\nGgozMzPMmTNHpX2LFi0wZMgQtW38+eefOHHiBN577z21o9SqVati3rx5yMrKwu7du0u97+Xl66+/\nhoGBgfJ9zZo10bdvX6SmpiIuLk4ZX7t2LfLz8zF79mw0aNBArR8bG5tXyqNOnTqYMWOGSszHxwf2\n9vY4e/asStzMzEx5lPvPHPz8/HD58mXcvXv3lfK5d+8ewsPDYW9vj0mTJqksa9u2LQYNGoRHjx5h\nz549ausOGjRI7eh/3LhxEEKo7QsAjd9dhUIBExOTV9oHouexoFOF0rp1azRp0kRZ0Ddu3AghBMaO\nHVvkOoXXOr29vTUuL7yV6ffffwcAXL58GU+fPoWrqyvMzMzU2nfs2FFtkFpUVBQAIDU1FfPmzVN7\nHT58GEIIxMbGlnCPy5e5uTkcHR3V4nZ2dgCejQkodObMGQBAt27dyiUXV1dXjafj7ezsVPIodOrU\nKQwYMAD29vYwNDRUXhdfvXo1gGcF+VUUfh86dOigcRBfp06dIIRQtnve85dvnt8PQPUz9fLygq2t\nLRYvXozu3btj9erVuHDhgsaBn0SvitfQqcIZO3YsPvnkE/z8888ICgqCm5sbmjZtWmT71NRUSJIE\na2trjcutra0hhEBKSoqyPYAiRzzXqlVLLZacnAwACA8PL3IAnCRJyMjIKHrHtKBatWoa4wrFs//1\n8/PzlbHCz6e8bjl7US7/LHA//vgj+vfvDyMjI3Tt2hXOzs4wMTGBLMs4duwYTpw4gezs7FfKp/B7\n8KLvDfC/z6WQJEka96XwR8Hzn6mZmRnOnDmDOXPmYP/+/fjll18ghICFhQU+/PBDzJw5U/m3IHpV\n/CZRhTN06FBMmTIFH3zwARISEjB37twXtjc3N4cQAklJSRqXJyYmQpIkmJubK9sDwP379zW219RP\n4TpfffUVPvroo+LuSqVSWKTu3buHevXqaTWXWbNmwcDAANHR0Wq5JCQklMkkOoV/0xd9b55vV1o2\nNjbYsGEDNmzYgNjYWBw9ehRr1qzB/PnzIYTAvHnzXql/okI85U4Vjrm5Ofz8/HDv3j2YmpqqXRf/\np+bNmwMAIiMjNS4/evQogGfXxwGgQYMGMDY2RkxMDNLS0tTaHzt2TO3UcNu2bQEAv/76a4n2pTIp\n3MdDhw5pORPg+vXraNSokVoxF0IU+TeQZVnl6PhlCr83J0+e1HgK/OjRo5AkSfm9KQsNGzbEv/71\nL/zyyy8AgL1795ZZ30Qs6FQhLVy4ED/++CP+85//vHTgkIeHB+rXr4+TJ0+qDUoLCwvDyZMnUb9+\nfbRv3x7As1O8Q4YMwZMnT9SO/s+fP4/Q0FC1bbi5uaFDhw7Ys2cPNm/erDGPv/76Cw8fPizBXlYs\nAQEB0NPTw+eff65xLMCrXrMuCQcHB1y9elXt6HnOnDlFjlN46623cOfOnWJvw9bWFl27dkV8fDxW\nrlypsuzMmTPYtm0batSogXfffbfkO/D/Ll26hAcPHqjFC/eLg+KoLPGUO1VItWvXRu3atTUu++eA\nNeDZhB8+Pj7w9/dH37590aBBA1y+fBn79u2Dubm52oQxixYtwpEjR7Bq1SqcO3cO7du3R0JCAnbu\n3ImePXti3759atsIDQ1F586dMWbMGHz99ddo06YNqlWrhrt37+LPP//ExYsXERUVhZo1a750/06d\nOqWc/S49PR0AcOXKFYwcOVLZpqgfDuWlYcOGWLt2LQICAtC8eXP07dsXdevWRXJyMs6dOwdzc3Mc\nOXLkteQSGBiIgIAAuLq64r333oO+vj5OnTqF2NhY9OnTBwcOHFBbp3PnztixYwf69OmDFi1aQF9f\nH56enujQoUOR2/nuu+/Qvn17TJ48Gb/88gtatmyJ27dvIywsDHp6eti8ebNa0dX0/StKeHg4Jk2a\nhHbt2qFevXqwtLTE3bt3sW/fPujp6amNrid6JeV1P1x2draYPHmysLGxEUZGRqJNmzYiPDz8peud\nOHFC9OnTR9jZ2QlDQ0NhaWkpOnXqJH7++WeN7U+dOiU8PDyEsbGxqFWrlvj44495b2clI0mSsLe3\nL1bbou5DF0KIK1euiGHDhgkbGxtRpUoVYWNjI4YNGyauXLmisa/79++L0aNHC0tLS2FsbCyaN28u\nQkJCRGRkpJBlWcyfP19tnfT0dPHFF1+Ili1bCjMzM2FsbCycnJxEr169xMaNG8XTp0+LtR9BQUFC\nluUiX3p6esXqR4hn96Hr6elpvA/dyclJ4zpz587VeO+6EEKcPn1a+Pn5CSsrK2FgYCBsbW1F9+7d\nxe7du5Vt4uPjhSzLYtSoUSrrjhgxQujp6andh66p7T/z/6fg4GDRvHlzYWpqKmrWrCnee+898ddf\nfxWZ+4MHD8SQIUNErVq1hEKhUJlL4EU5JCQkiA8//FA4ODgIAwMDUbNmTdGvXz9x/vx5tbaFfzdN\n3z8hhJBlWXTq1En5PjY2VkycOFG0atVKWFpaCkNDQ+Ho6CgGDBggoqKiNPZBVFqSEOUzifSgQYOw\nZ88eBAYGwsXFBUFBQTh79iwiIyPh7u5e5HqbNm3CwYMH0apVK9SqVQuPHz/Gli1bEBMTgy1btmDw\n4MHKtjExMXB3d0ejRo0wbtw43L17F8uWLUOnTp00TidJRESkq8qloJ89exZt27bFl19+icDAQABA\ndnY2GjduDCsrK+UEH8WVlZUFR0dH1K9fX2XgU48ePfDnn38iLi5OeVps06ZNGDduHA4fPowuXbqU\n2T4RERFVZOUyKC4sLAwKhUJlMhADAwOMHj0aUVFRJR5cY2hoiJo1a6rcr5mWloaIiAgMHTpU5RrX\nsGHDYGJigp07d776jhAREVUS5TIoLiYmBvXq1YOpqalKvHXr1srlL5u8Ii0tDTk5Ofj7778RHByM\nuLg4lSdE/fe//0VeXp7ajE36+vpwdXXVOLsTERGRriqXgp6YmKhx9qXCGbsSEhJe2seAAQNw+PBh\nAICpqSl27typMiVl4WQhRW2npKf1iYiIKrNyOeWemZmp8jCIQoUPKMjMzHxpH0uWLEF4eDi+//57\nNGrUCAMHDkRERITKNgAUuZ3ibIOIiEhXlMsRupGRkcZ5lrOyspTLX+b5ubuHDBmCFi1a4F//+pfy\n6VCFfRS1nZdt4++//8bhw4fh4OBQrHyIiEj3ZGZmIj4+Hr6+vrCwsNB2Oq+kXAq6tbW1xtPqhXMj\nl/QxjPr6+ujTpw8WL16MlJQUVKtWTXn6vrDPf27nZds4fPgw3n///RLlQUREumnLli0aH51cmZRL\nQXd1dUVkZCTS09NVBsadPn0akiTB1dW1xH0+ffoUwLP5mgGgcePGUCgUOH/+PPz8/JTtcnNzERMT\nA39//xf25+DgAODZH7Fhw4YlzkcXBAYGqk15+aZ50z+DN33/AX4Gb/r+x8bG4v3331fWhMqsXAq6\nn58fli9fjvXr1+PTTz8FAOTk5CAoKAht27ZVjnBPSkpCamoqXFxclI8efPjwodrUmSkpKdizZw+a\nNGmCqlWrAgCqVq2KLl26YMuWLZg1a5by1rWQkBBkZGRgwIABL8yx8DR7w4YNy/ThC5WJubn5G7vv\nhd70z+BN33+An8Gbvv+FdOHSa7kU9NatW6N///6YNm0a7t+/r5wp7tatWyrzU0+dOhUhISGIj4+H\nvb09AKB79+6oXbs22rRpA0tLS9y6dQtBQUF48OABgoKCVLazcOFCeHh4wNPTE+PGjcOdO3ewYsUK\n+Pr6omvXruWxa0RERBVSuT2c5YcffsCsWbOwZcsWPH78GE2bNsXBgwfh4eGhbCNJkvIUeqHRo0dj\n+/btWLVqFVJSUlCjRg106NAB06ZNUz7usFDz5s0RERGBKVOm4NNPP4WZmRnGjh2LRYsWldduERER\nVUjlVtCrVKmCJUuWYMmSJUW22bx5s9oTpQICAhAQEFDs7bi7u+v0M6qJiIiKg89Df4MNGjRI2ylo\n3Zv+Gbzp+w/wM3jT91+XlNvT1iq6CxcuwM3NDdHR0RwQQkT0htKlWsAjdCIiIh3Agk5ERKQDWNCJ\niIh0AAs6ERGRDmBBJyIi0gEs6ERERDqABZ2IiEgHsKATERHpABZ0IiIiHcCCTkREpANY0ImIiHQA\nCzoREZEOYEEnIiLSASzoREREOoAFnYiISAewoBMREekAFnQiIiIdwIJORESkA1jQiYiIdAALegUV\nHBwMWZZhbGyMxMREteUdO3ZE06ZNS93/F198gXbt2sHS0hJGRkZwdnbG+PHjcfv2bbW2QggsXboU\nTk5OMDIyQrNmzbB9+/ZSb5uIiMoeC3oFl52djcWLF6vFJUl6pX6jo6PRvHlzzJw5E2vXrsV7772H\nHTt2oG3btnj06JFK2+nTp2Pq1Knw9fXFN998gzp16mDw4MHYuXPnK+VARERlR6HtBOjFXF1dsWHD\nBkybNg21atUqs37DwsLUYm3btkX//v2xf/9+jBgxAgCQkJCAFStW4N///je++uorAMDo0aPh5eWF\nSZMmoX///q/844KIiF4dj9ArMEmSMH36dOTl5Wk8Sv+n5ORkxMXFITMzs1Tbq1OnDoQQUCj+9ztv\n7969yMvLQ0BAgErbgIAA3L17F1FRUaXaFhERlS0W9ArO0dERw4YNw4YNG5CUlPTCtqtXr0bDhg1x\n7ty5YvefnJyM+/fv49dff8Unn3yC+vXro1+/fsrlMTExMDExQYMGDVTWa926NYQQ+P3330u2Q0RE\nVC5Y0CuBGTNmIDc3F0uWLHlhO0mSSnT6+/79+6hZsyasra3h5eWF7OxsREZGwtjYWNkmMTERVlZW\nautaW1sDeHZKnoiItI8FvRJwdHTE0KFDsX79ety/f7/IdnPmzEF+fj48PT2L1W+NGjUQERGBn376\nCZ9//jlu3LiB7t27Iz09XdkmMzMTBgYGausaGhoqlxMRkfaxoFcSM2fORG5ubrGupReXvr4+OnXq\nhB49emDGjBn46aefEBMTg9WrVyvbGBkZITs7W23drKws5XIiItI+FvRKwtHREe+//z7Wr1//0mvp\npdWuXTtYW1vjzJkzypi1tbXG7RXeG29jY1MuuRARUcmwoFcihUfpL7uW/iqysrIgy//7Wri6uuLp\n06e4fPmySrvTp09DkiS4urqWWy5ERFR8LOiViJOTE95//32sW7dO41FzcW9be/r0qcY2u3fvxuPH\nj1Wuwfft2xcKhQJr165Vafvdd9/B1tYW7u7updwbIiIqS5xYpgITQqjFZsyYgR9++AFxcXFo3Lix\nyrLVq1dj/vz5iIyMfOHAuKtXr6JLly7w9/dHgwYNIMsyzp07h61bt6Jp06YYP368sq2trS0mTJiA\n5cuXIycnB61atcKPP/6IU6dOITQ0lJPKEBFVECzoFZimYuns7IyhQ4ciODhYbXlxb1urXbs2/Pz8\ncOzYMYSEhCAvLw8ODg6YNGkSpk2bpjbQbcmSJahRowbWrVuH4OBg1K1bF1u3boW/v/+r7SAREZUZ\nSWg6DHwDXLhwAW5uboiOjkaLFi20nQ4REWmBLtUCXkMnIiLSASzoREREOoAFnYiISAewoBMREekA\nFnQiIiIdwIJORESkA1jQiYiIdAALOhERkQ5gQSciItIBLOhEREQ6gAWdiIhIB7CgExER6QAWdCIi\nIh3Agk5ERKQDWNCJiIh0AAs6ERG9sYQQ2k6hzCi0nQAREdHrlJaWhuUzZuDUgQPIzcjQdjplhgWd\niIjeGGlpaXivXTt8GhuLuQUF+B2Am7aTKiPldso9JycHU6ZMga2tLYyNjdG2bVtERES8dL2jR49i\n9OjRqF+/PkxMTODs7IyxY8ciKSlJrW3Hjh0hy7Laq0ePHuWxS0REVMktnzEDn8bGoltBASRtJ1PG\nyu0Iffjw4dizZw8CAwPh4uKCoKAg9OjRA5GRkXB3dy9yvSlTpuDx48fo378/6tatixs3bmD16tU4\nePAgYmJiYGlpqWwrSRLs7OywePFilesgNjY25bVbRERUiZ06cABzCwq0nUa5KJeCfvbsWezYsQNf\nfvklAgMDAQBDhw5F48aNMXnyZJw8ebLIdVeuXIn27durxHx9feHl5YVvvvkG8+fPV1lmbm6OQYMG\nlf1OEBGRThFCwCQ3V+eOzAuVyyn3sLAwKBQKjB07VhkzMDDA6NGjERUVhXv37hW57j+LOQB06NAB\nNWrUQGxsrMZ18vPzkaFDAxuIiKjsSZKEDH196M64dlXlUtBjYmJQr149mJqaqsRbt26tXF4SGRkZ\nSE9Ph4WFhdqyK1euwMTEBGZmZrC2tsbs2bORl5dX+uSJiEhnefTujcOybt6xXS6n3BMTE2Ftba0W\nt7a2hhACCQkJJepv5cqVyM3NxcCBA1XiLi4u6NSpE5o0aYKMjAyEhYVhwYIFuHr1KrZt2/ZK+0BE\nRLrns4UL8d7RoxD/PzBOl5RLQc/MzISBgYFa3NDQULm8uE6cOIH58+fD398fXl5eKss2bNig8n7I\nkCEYP348Nm7ciMDAQOUZASIiIgAwMzPD7qgofDlzJlbs34+cjAzg4UNtp1UmyuW8g5GREbKzs9Xi\nWVlZyuXFcfnyZfTr1w9NmzZVK95FmThxIoQQxbpFjoiI3jxmZmaY+9VXCL95EysOHdJ2OmWmXAq6\ntbU1EhMT1eKFseLcVnbnzh34+PigevXqOHjwIExMTIq1bTs7OwDAo0ePitU+MDAQffr0UXlVhNP1\nwcHByvvqf/vtN41t7OzsIMsy+vTp85qzezEhBJYuXQonJycYGRmhWbNm2L59e7HWPX78uMa5BfT0\n9HD27FmVbQQFBaFv376wt7eHqakpmjRpgoULF2r8MampT1mWsXTp0jLbbyKq2LZt26b27/2nn36q\n7bTKTLmccnd1dUVkZCTS09NVBsadPn0akiTB1dX1hes/evQIPj4+yMvLQ2RkJKysrIq97evXrwMA\natasWaz2K1euRIsWLYrd/+tmZGSE0NBQtXv3jx8/jnv37ikvY1Qk06dPx5IlSzB+/Hi0bNkS+/bt\nw+DBgyHLMgYMGFCsPiZMmICWLVuqxFxcXJT//fTpU4waNQrt2rVDQEAALC0tERUVhTlz5uDo0aM4\ncuSIWp8+Pj4YNmyYSqx58+al2EMiqowGDRqkdpvzhQsX4OamI3PFiXJw5swZIUmS+PLLL5Wx7Oxs\nUbduXeHu7q6MJSYmisuXL4u8vDxlLCMjQ7Ru3VqYm5uL33//vchtPHnyRGRnZ6vF/f39hSzLL1xX\nCCGio6MFABEdHV2SXXttgoKChCRJws/PT1haWor8/HyV5ePGjROtWrUSjo6Oonfv3lrKUt29e/dE\nlSpVxMcff6wS9/T0FPb29qKgoOCF60dGRgpJksTu3btf2C4nJ0dERUWpxefPny9kWRZHjhxRiUuS\nJP79738Xcy+I6E1R0WtBSZTLKffWrVujf//+mDZtGqZMmYINGzbA29sbt27dUjnFOXXqVDRs2FDl\nvvTBgwfj3Llz6N+/Py5evIitW7cqX/v27VO2u3DhAhwcHDBx4kR8++23WLFiBdq3b49du3Zh/Pjx\nLz0LUBlIkoRBgwYhOTkZ4eHhynhubi7CwsIwePBgjU8KEkJg1apVaNy4MYyMjFCrVi188MEHSElJ\nUWn35MkTxMXF4cmTJ2WW8969e5GXl4eAgACVeEBAAO7evYuoqKhi95Weno78/HyNy/T19dG2bVu1\n+LvvvgshRJFzFmRlZWk8JU9EVOmV1y+F7OxsMXnyZGFjYyOMjIxEmzZtRHh4uEqbESNGCD09PXHr\n1i1lzMHBQciyrPHl6OiobHfz5k3h7+8vnJychLGxsTA1NRWtWrUSGzZsKFZ+Ff1XWVBQkJBlWURH\nRwsPDw8xfPhw5bK9e/cKhUIhEhMThYODg9oR+pgxY0SVKlXEBx98INavXy+mTZsmTE1NRZs2bVTO\nhhSeBQgODi6zvMeOHSvMzMzU4tevXxeSJIlvvvnmhesXHqFXrVpVSJIkFAqF8Pb2FufPny/W9n/5\n5RchSZLYvn27SlySJGFmZiZkWRaSJIlGjRqJ0NDQ4u8YEemkil4LSqLc5nKvUqUKlixZgiVLlhTZ\nZvPmzdi8ebNK7ObNm8Xq38HBodgDrSq7wYMHY/r06cjOzoaBgQFCQ0Ph5eWFWrVqqbU9efIkNm3a\nhG3btsHf318Z9/b2hq+vL3bt2qVyP78kle0kiImJiRrHPBTOS/CyOQiqVKkCPz8/9OjRAxYWFrh0\n6RKWL18OT09P/Pbbb2jWrNkL11+6dCnMzc3RvXt3lbiHhwf8/f3h4OCAhIQErFmzBkOGDMGTJ08w\nfvz4Eu4lEVEFpO1fFNpS0X+VPX+E/vDhQ6Gvry/CwsJEWlqaMDY2Ft9//70QQqgdoX/yySeievXq\n4uHDh+Lvv/9Wvh4+fCjMzMzEuHHjyjXvzp07i7ffflstXlBQICRJEoGBgSXu89q1a8LY2Fh07979\nhe0WLlwoZFkW69ate2mfubm5okmTJqJGjRoiKyurxDkRkW6o6LWgJPg89ErAwsICXbp0QWhoKDIy\nMlBQUAA0YIS8AAAgAElEQVQ/Pz+Nba9evYqUlBSVp9IVkiQJDx48KNdcy2oOguc5Ozujb9+++PHH\nHyGE0HhWYceOHZg1axbGjBmDcePGvbRPhUKBjz76CAEBAYiOjn7hEwCJiCoDFvRKYvDgwRg7diwS\nExPRvXt3mJmZaWxXUFAAKysrhIaGahwwV9zb+UrL2toakZGRavGSzEGgiZ2dHXJycpCRkaH2jIDw\n8HAMHz4cvXv3xrfffluiPoHiz1lARFSRsaBXEu+++y7Gjx+PM2fOYMeOHUW2c3Z2xpEjR+Du7q5x\n+t3y5urqik2bNuHy5cto0KCBMl7cOQiKcv36dRgaGqoV8zNnzqBfv35o3bo1duzYAbkED10o6ZwF\nREQVmW4+ckYHmZiY4LvvvsPcuXPRu3fvItsNGDAAeXl5as+NB549ZjY1NVX5vjxuW+vbty8UCgXW\nrl2rEv/uu+9ga2urcmo7OTkZcXFxKnP7//3332p9/vHHHzhw4AB8fX1V4rGxsejVqxecnJxw4MCB\nIn/AaOozLS0Nq1atgoWFhe5MKkFEbzQeoVdg/zxlPnTo0Jeu4+npifHjx2Px4sWIiYmBj48P9PX1\nceXKFYSFheHrr79Gv379AAA//vgjRo4ciaCgILUZ1ErL1tYWEyZMwPLly5GTk4NWrVrhxx9/xKlT\npxAaGqpy/Xv16tWYP38+IiMj4enpCQDw9/eHkZER3N3dYWlpiYsXL2LDhg0wNTXFF198oVw3PT0d\nvr6+SElJweTJk/HTTz+p5OHs7Ky8T33NmjXYu3cvevfuDXt7eyQkJGDz5s24c+cOtmzZAoWC/xsQ\nUeXHf8kqsOLcUiZJklq7b7/9Fi1btsS6deswY8YMKBQKODg4YNiwYfDw8CjxNkpqyZIlqFGjBtat\nW4fg4GDUrVsXW7duVbmNrqjc3333XWzduhUrV67EkydPULNmTfj5+WH27NlwcnJStktOTlZOSDR1\n6lS1HIYPH64s6B4eHoiKisKmTZuQnJwMExMTtGnTBkFBQWpP8CMiqqwkoWnk1BugcP7e6OjoCj2X\nOxERlR9dqgW8hk5ERKQDWNCJiIh0AAs6ERGRDmBBJyIi0gEs6ERERDqABZ2IiEgHsKATERHpABZ0\nIiIiHcCCTkREpANY0ImIiHQACzoREZEOYEEnIiLSASzoREREOoAFnYiISAewoBMREekAFnQiIiId\nwIJORESkA1jQiYiIdAALOhERkQ5gQSciItIBLOhEREQ6gAWdiIhIB7CgExER6QAWdCIiIh3Agk5E\nRKQDWNBJ53Ts2BHe3t6lWleWZcyfP79Ybc+ePQsDAwPcuXOnVNt6HfLy8mBvb4/vvvtO26kQUTlj\nQa+ggoODIcuyxpeenh7Onj2r7RS1KjY2FvPmzcPt27fVlkmSBFku/6/2zJkzMWTIENjZ2anEv/nm\nGzRq1AiGhoaoXbs2Jk6ciKdPn6qtX9Tfd+nSpSrtYmNj0aFDB1StWhWtWrXC6dOn1fpasWIFmjRp\ngoKCApW4QqHAp59+igULFiAnJ6cM9pqIKiqFthOgokmShM8//xwODg5qy1xcXF5/QhXIpUuXMG/e\nPHh7e8Pe3l5lWXh4eLlvPyYmBhEREWrFdcqUKVi2bBkGDBiACRMm4NKlS1i9ejUuXbqEQ4cOqfXj\n4+ODYcOGqcSaN2+u/O+CggK8++67sLCwwPLly7F//3688847uHbtGkxNTQEADx48wOeff46wsDCN\nP2RGjhyJqVOnIjQ0FCNGjCiDvSeiiogFvYLr1q0bWrRooe00KhwhBCRJ0rhMoSj/r/XmzZtRp04d\ntG7dWhlLSkrCypUrMXz4cGzevFkZr1u3Lj7++GMcPHgQPXv2VOmnXr16GDx4cJHbuXLlCq5evYoj\nR47A1tYWQ4cOhYWFBaKiotC1a1cAwPTp09GxY0d07txZYx/m5ubw8fFBUFAQCzqRDuMp90pu7ty5\n0NPTw7Fjx1Ti48aNg4GBAf773/8CAI4fPw5ZlrFz505Mnz4d1tbWMDU1Rd++fXH37l21fnft2oWW\nLVvC2NgYNWvWxNChQ5GQkKDSZsSIETAzM0NCQgLeeecdmJmZwdLSEpMmTYIQQqWtEAKrVq1C48aN\nYWRkhFq1auGDDz5ASkqKSjsHBwf06dMHp06dQps2bWBkZARnZ2f88MMPyjbBwcEYMGAAgGfXywsv\nQ5w4cUIZ69Spk7J9bm4uZs+ejZYtW6JatWowNTWFp6cnIiMjS/hp/8++fftUtgEAUVFRyM/Ph7+/\nv0p84MCBEEJg+/btGvvKyspCdnZ2kcsAoFq1agAAIyMjGBkZKU/hX7hwAdu2bcOKFStemG/Xrl1x\n8uRJtc+biHQHC3oFl5qaiuTkZJXXo0ePlMtnzpwJV1dXjB49GhkZGQCAw4cPY+PGjZg7dy6aNGmi\n0t/ChQtx6NAhTJ06FZ988gnCw8PRtWtXlYISFBQEf39/6OvrY/HixRg3bhz27NmDDh064MmTJ8p2\nkiShoKAAvr6+qFmzJr788kt07NgRK1aswPr161W2O27cOEyZMgUdOnTA119/jVGjRmHr1q3o1q0b\n8vPzVfq8evUq+vfvDx8fH6xYsQI1atTAyJEjERsbCwDw9PTExx9/rNz/LVu24IcffkDDhg2VfTzv\nyZMn+P777+Ht7Y2lS5di3rx5+Pvvv9GtWzf8+eefJf6bJCQk4Pbt22pnTgo/QyMjI5W4sbExACA6\nOlqtr6CgIJiYmMDIyAhvv/02tm3bprK8Xr16qFq1KubMmYPbt29j2bJlSEtLU277k08+wb///W84\nOjq+MGc3NzcUFBTgt99+K9nOElHlId5Q0dHRAoCIjo7WdioaBQUFCUmSNL6MjIxU2v7111/CwMBA\njBs3TqSkpAhbW1vRpk0bkZ+fr2wTGRkpJEkSdnZ2IiMjQxnftWuXkCRJrF69WgghRG5urrCyshLN\nmjUT2dnZynYHDx4UkiSJuXPnKmMjRowQsiyLhQsXquTTokUL0apVK+X7X3/9VUiSJLZv367S7pdf\nfhGSJIlt27YpYw4ODkKWZXHq1Cll7OHDh8LQ0FBMmjRJGQsLCxOyLIvjx4+rfXYdO3YU3t7eyvcF\nBQUiNzdXpU1qaqqoVauWGDNmjEpckiQxb948tT6fd+TIESFJkjh48KBK/MKFC0KSJLXP4z//+Y+Q\nJElUrVpVJd6+fXuxevVqceDAAbFu3TrRtGlTIUmS+O6771Tabdu2TZiYmAhJkoS+vr5YuXKlEEKI\nrVu3Cmtra5GWlvbCfIUQIjExUUiSJJYtW/bStkRvkopeC0qC19ArMEmSsHbtWtStW1clrqenp/L+\n7bffxrx58zBt2jT88ccfePToEY4cOaJxgNTw4cOVR4wA4OfnB2tra/z888/46KOPcO7cOTx48ADz\n589HlSpVlO169OiBBg0a4ODBg5gzZ45Kn+PHj1d536FDB2zZskX5PiwsDNWqVUPnzp2RnJysjDdv\n3hympqY4duwYBg4cqIw3atQI7u7uyvcWFhaoX78+bty48cLPqyiSJCmvqwshkJKSgvz8fLRs2RIX\nLlwocX/JycmQJAnVq1dXiTdv3hxt2rTBkiVLYGNjA29vb1y6dAkffvgh9PX1kZmZqdL+119/VXk/\natQotGjRAtOnT8eIESNgYGAA4Nkp++7duyMuLg6Ojo6oWbMmMjMzMXXqVCxatAgmJiaYN28eQkJC\nYGZmhrlz5+Kdd95R6bsw17///rvE+0tElQMLegXXqlWrYg2KmzRpErZv345z585h0aJFqF+/vsZ2\nmkbHu7i4ID4+HgBw+/ZtSJKEevXqqbVr0KABTp06pRIzNDTEW2+9pRKrXr06Hj9+rHx/9epVpKSk\nwNLSUq1PSZLw4MEDldg/R61r6rOkgoODsWLFCly+fBm5ubnKuJOTU6n7FP8YJwAAe/bsgb+/P0aP\nHg0hhPK2scjISFy5cuWF/SkUCnz00UcICAhAdHS0yo8ac3NzlQF4ixYtgpWVFUaMGIGNGzdi/fr1\nCA0NxY0bN+Dv74/Y2FiVfSvMtaiBhERU+bGg64jr16/j6tWrAKAcCPc6/PNsgSYFBQWwsrJCaGio\nxiJYs2bNYvWpad3i2LJlC0aOHIl+/fph8uTJsLS0hJ6eHhYtWlSqo/633noLQgiNPzCsra1x4sQJ\nXL9+HUlJSahbty4sLS1ha2ur8UfSPxXe0/78OIl/io+Px4oVKxAREQEA2L59O8aPHw8vLy94eXkh\nODgY27dvx/Tp05XrFOZqYWFRon0losqDBV0HCCEwYsQImJubIzAwEAsXLoSfn5/aaVcAyqL/vGvX\nrqFZs2YAgDp16kAIgbi4OHTs2FGlXVxcHOrUqVPi/JydnXHkyBG4u7srTyO/qpIcae7evRvOzs4I\nCwtTic+ePbtU227QoAEA4ObNm0W2cXZ2hrOzM4Bn98wnJiZi1KhRL+37+vXrANR/5Dzvs88+wzvv\nvIN27doBeDZIz8bGRrncxsYG9+7dU1mnMNfCgYNEpHs4yl0HfPnllzh9+jQ2bNiA+fPnw93dHQEB\nARqP8kJCQpCenq58v2vXLiQmJqJHjx4AgJYtW8LS0hLfffedyqnpQ4cOITY2Fr169SpxfgMGDEBe\nXp7GKVXz8/ORmppa4j5NTEyU18NfRtMR/5kzZxAVFVXi7QLPCqadnR3Onz//0rZCCEyePBkmJiYq\nYw00XctOS0vDqlWrYGFhATc3N439HTt2DP/5z39UZpOzsrLC5cuXle9jY2NRq1YtlfXOnz8PWZaV\nPwKISPfwCL0CE0Lg559/Vt6u9Tx3d3c4OjoiNjYWs2fPxsiRI5VFOSgoCK6urggICMCOHTtU1qtR\nowbat2+PkSNHIikpCV999RXq1auHMWPGAHh2HXfJkiUYNWoUPD09MWjQICQlJeHrr7+Gk5MTJkyY\nUOL98PT0xPjx47F48WLExMTAx8cH+vr6uHLlCsLCwvD111+jX79+JerT1dUVenp6WLJkCVJSUmBg\nYIDOnTtrPKXcq1cv7NmzB++88w569uyJGzduYN26dXj77bdVftyURN++fbF37161+IQJE5CVlQVX\nV1fk5uZi69atOH/+PEJCQlC7dm1luzVr1mDv3r3o3bs37O3tkZCQgM2bN+POnTvYsmWLxslxCgoK\nEBgYiMmTJ8PW1lYZ9/Pzw+TJk2FhYYH4+Hj89ddfCA0NVVk3IiICHh4eagP5iEiHaGdwvfZV9FsV\ngoKChCzLRb6Cg4NFfn6+aN26tahTp4548uSJyvpff/21kGVZ7Nq1Swjx7LY1WZbFjh07xIwZM0St\nWrWEiYmJ6NOnj7hz547a9nft2iXc3NyEkZGRsLCwEMOGDRMJCQkqbUaMGKF2K5YQQsydO1fo6emp\nxTdu3ChatWolTExMhLm5uWjWrJmYNm2aSEpKUrZxdHQUffr0UVu3Y8eOolOnTiqxTZs2CRcXF6Gv\nr69yC5umtosXLxaOjo7CyMhIuLm5iZ9//lmMGDFCODk5qbSTZVnMnz9fbfv/9Pvvv6vdXifEs79b\n8+bNhZmZmTA3Nxddu3bVeGtdeHi48PX1FTY2NsLAwEDUqFFDdO/eXURGRha5zbVr1wp7e3uRmZmp\nEs/LyxOfffaZsLS0FI6OjmLLli0qy1NTU4WBgYHYvHnzS/eL6E1T0WtBSUhClHKkUSV34cIFuLm5\nITo6+o2YWvX48ePw9vZGWFhYiY+GSbMuXbrAxsYGISEh2k7lhVatWoXly5fj+vXrZTaGgUhX6FIt\n4DV0olJatGgRdu7cWeEfn7pq1SrMmjWLxZxIx/EaOlEptW7dWjnXekWlUCiUcwwQkW7jEfobhJOK\nEBHpLh6hvyG8vLxUHoJCRES6pdyO0HNycjBlyhTY2trC2NgYbdu2Vc5s9SJHjx7F6NGjUb9+fZiY\nmMDZ2Rljx45FUlKSxva//fYb2rdvDxMTE1hbW+OTTz5RPnWMiIjoTVFuR+jDhw/Hnj17EBgYCBcX\nFwQFBaFHjx6IjIxUmaP6n6ZMmYLHjx+jf//+qFu3Lm7cuIHVq1fj4MGDiImJUZkPPCYmBl26dEGj\nRo2wcuVK3L17F8uWLcO1a9dw8ODB8to1IiKiiqc87oU7c+aMkCRJrFixQhnLysoSLi4uwsPD44Xr\n/vrrr2qxEydOCEmSxKxZs1Ti3bt3F7a2tiI9PV0Z27hxo5BlWYSHh79wO7p07yEREZWOLtWCcjnl\nHhYWBoVCgbFjxypjBgYGGD16NKKiotTmmX5e+/bt1WIdOnRAjRo1VGZMS0tLQ0REBIYOHQoTExNl\nfNiwYTAxMcHOnTvLaG+IiIgqvnIp6DExMahXrx5MTU1V4oWPf4yJiSlRfxkZGUhPT1eZ1vO///0v\n8vLy1Oa81tfXh6urK37//fdSZk9ERFT5lEtBT0xMhLW1tVrc2toaQggkJCSUqL+VK1ciNzcXAwcO\nVNmGJElFbqek2yAiIqrMyqWgZ2ZmapyVytDQULm8uE6cOIH58+fD398fXl5eKtsAUOR2SrINIiKi\nyq5cCrqRkRGys7PV4oWzahkZGRWrn8uXL6Nfv35o2rQpNmzYoLYNAEVup7jbICIi0gXlcttaUae8\nExMTATx7nvTL3LlzBz4+PqhevToOHjyoMvCtcBtCCGWf/9xOcbYBAIGBgTA3N1eJDRo0CIMGDSrW\n+kREVDls27YN27ZtU4mlpqZqKZuyVy4F3dXVFZGRkUhPT1cZGHf69GlIkgRXV9cXrv/o0SP4+Pgg\nLy8PkZGRsLKyUmvTuHFjKBQKnD9/Hn5+fsp4bm4uYmJi4O/vX6xcV65cWemfsENERC+n6WCt8Glr\nuqBcTrn7+fkhLy8P69evV8ZycnIQFBSEtm3bwtbWFgCQlJSEuLg4lSlJnz59iu7duyMxMRE///wz\nnJycNG6jatWq6NKlC7Zs2aIyM1xISAgyMjIwYMCA8tg1IiKiCqlcjtBbt26N/v37Y9q0abh//75y\nprhbt25h8+bNynZTp05FSEgI4uPjYW9vDwAYPHgwzp07h9GjR+PixYu4ePGisr2pqSn69u2rfL9w\n4UJ4eHjA09MT48aNw507d7BixQr4+vqia9eu5bFrREREFVK5Tf36ww8/YNasWdiyZQseP36Mpk2b\n4uDBg/Dw8FC2kSQJsqx6kuCPP/6AJEn4/vvv8f3336ssq1OnjkpBb968OSIiIjBlyhR8+umnMDMz\nw9ixY7Fo0aLy2i0iIqIKSRJCCG0noQ2F102io6N5DZ2I6A2lS7WAz0MnIiLSASzoRERvoDf05KxO\nY0EnInpDpKWlYc7HH6OLoyPesbNDF0dHzPn4Y6SlpWk7NSoD5TYojoiIKo60tDS8164dPo2NxdyC\nAkgABIDDa9bgvaNHsTsqCmZmZtpOk14Bj9CJiN4Ay2fMwKexsej2/8UcACQA3QoKEBgbiy9nztRm\nelQGlAU9NTVVZYIXIiLSHacOHIBvQYHGZd0KCnBq//7XnBGVNblbt24wNjbGW2+9hePHjwMA/v77\nb/Tt2xeRkZHazY6IiF6ZEAImubnKI/N/kgAY5+ZyoFwlJ1+9ehXvv/8+Cp775WZhYYHU1FSsW7dO\ni6kREVFZkCQJGfr6KKpcCwAZ+vqQpKJKPlUG8qVLlzTOrObt7Y0zZ85oISUiIiprHr1747CsedjU\nf2QZ7fv0ec0ZUVmTDQwMNP4qs7W1RVJSkhZSIiKisvbZwoVY0bAhDsmy8khdADgky1jZsCEmLlig\nzfSoDBQ5yv3evXsqjz4lIqLKy8zMDLujonDmo4/g4+CAvra28HFwwJmPPuItazpC433oGRkZ2Lx5\nM7y8vF53PkREVE7MzMww96uvgK++ghCC18x1jNyzZ08cOnQIwLMnnW3cuBFubm54+PAhZs2apeX0\niIioPLCY6x7FtWvXMGzYMADAxIkTAQDOzs74+eef0bRpU23mRkRERMWkiIuLQ0xMDK5evYqCggI4\nOzvDzc2Nv96IiIgqEQUAuLq6wtXVVdu5EBERUSkpTpw48cIGnp6erykVIiIiKi2Ft7e3xgWFIyA5\nvzsREVHFpzh69Ki2cyAiIqJXpOC95kRERJUfn4dORESkAxSjRo0qcqEkSdi0adNrTIeIiIhKQ3Hs\n2LEiF/JedCIiospBcfPmTW3nQERERK+oyGvomZmZuH379uvMhYiIiEqpyIK+f/9+ODo6vs5ciIiI\nqJSKLOi5ubmQZQ6CJyIiqgwUmk6rp6SkYPv27bC2ttZCSkRERFRSiqJOqwshsGDBgtecDhEREZWG\nYunSpSoBSZJgYmICNzc3tGzZUktpERERUUkoJk6cqO0ciIiI6BVx1BsREZEOUKxduxY3btzA48eP\nIYRQWcipX4mIiCoHxUcffYSqVauievXqags59SsREVHloPjjjz/QpEkTbedBREREr0BmMSciIqr8\nOCiOiIhIB8jx8fHazoGIiIhekaJhw4bo2rUr7OzsoKenp7JQkiR89dVXWkqNiIiIikuRnZ2Nn376\nSeNCFnQiIqLKQVFQUKDtHIiIiOgVcVAcERGRDmBBJyIi0gFy165d8dZbb0GhUEBPT0/tRURERBWf\nfP/+fQwcOBAFBQUYNGgQBg4cCCMjIzRt2hSzZ8/Wdn5ERERUDIrff/8djx8/xrfffotRo0ahU6dO\niI+PR9u2beHo6Kjt/IiIiKgYZD09PSgUCgBAbm4uAMDBwQEffvghlixZos3ciIiIqJhkAKhWrRoM\nDAyQmJioXGBlZYWbN29qLTEiIiIqPuUod1dXV/zwww/Iy8tDVlYWQkNDYW9vr83ciIiIqJgU2dnZ\nMDAwwIwZM9C3b19Uq1YNkiQhIyMD33//vbbzIyIiomJQGBgYAAB69eqFyMhI7NmzB3p6eujZsye8\nvb21nB4REREVh+L5Nx06dECHDh20lQsRERGVEmeKIyIi0gGyk5MTino5OzuXuuOcnBxMmTIFtra2\nMDY2Rtu2bREREfHS9ZKSkjB16lR06tQJVatWhSzLOHHihMa2HTt2hCzLaq8ePXqUOm8iIqLKSOHl\n5aV8k5+fj1u3buHUqVNo3LgxmjdvXuqOhw8fjj179iAwMBAuLi4ICgpCjx49EBkZCXd39yLXi4uL\nw7Jly1C3bl00bdoUUVFRRbaVJAl2dnZYvHgxhBDKuI2NTanzJiIiqowUmzdvVgv+8ccf8PX1xZAh\nQ0rV6dmzZ7Fjxw58+eWXCAwMBAAMHToUjRs3xuTJk3Hy5Mki123ZsiWSk5NRrVo17N69+4UFHQDM\nzc0xaNCgUuVJRESkKzReQ2/WrBnGjx+PKVOmlKrTsLAwKBQKjB07VhkzMDDA6NGjERUVhXv37hW5\nromJCapVq1ai7eXn5yMjI6NUuRIREemCIgfFWVlZ4dKlS6XqNCYmBvXq1YOpqalKvHXr1srlZeXK\nlSswMTGBmZkZrK2tMXv2bOTl5ZVZ/0RERJWBQlMwOTkZmzZtQu3atUvVaWJiIqytrdXi1tbWEEIg\nISGhVP3+k4uLCzp16oQmTZogIyMDYWFhWLBgAa5evYpt27aVyTaIiIgqA0WnTp1UAikpKbh8+TJy\ncnLwww8/lKrTzMxMFE5Y8zxDQ0Pl8rKwYcMGlfdDhgzB+PHjsXHjRgQGBirPCBAREek6WQiBwhcA\nODo64qOPPsJff/1V6sFmRkZGyM7OVotnZWUpl5eXiRMnQghRrFvkiIiIdIXi2LFjZd6ptbW1xtPq\nhU9zK8/byuzs7AAAjx49Klb7wMBAmJubq8QGDRrEkfNERDpm27ZtapdjU1NTtZRN2dN4Df1Vubq6\nIjIyEunp6SoD406fPg1JkuDq6loemwUAXL9+HQBQs2bNYrVfuXIlWrRoUW75EBFRxaDpYO3ChQtw\nc3PTUkZlS65ZsyYMDQ1hb2+Pjh07Yu3atXjy5Mkrdern54e8vDysX79eGcvJyUFQUBDatm0LW1tb\nAM9mhYuLi0N+fn6Jt5GWloacnBy1+IIFCyBJEnx9fUu/A0RERJWMwtbWFmZmZkhLS8OZM2dw4sQJ\nLF++HGFhYcoj140bN2LMmDHF7rR169bo378/pk2bhvv37ytnirt16xaen8hm6tSpCAkJQXx8vMqz\n1wuL8sWLFyGEQEhICH799VcAwIwZMwA8+1VV+GvLxcUFmZmZ2LNnD6KiojB+/PhyPQtARERU4Yjn\nZGdni5CQEFGrVi1hZWUlHj58KGbNmiVkWRYllZ2dLSZPnixsbGyEkZGRaNOmjQgPD1dpM2LECKGn\npydu3bqlEpckSciyrPbS09NTtrl586bw9/cXTk5OwtjYWJiamopWrVqJDRs2FCu/6OhoAUBER0eX\neN+IiEg36FItkIR4bhL0/3fz5k24ubnByMgISUlJGD9+PNauXfv6f22Uo8LrJtHR0byGTkT0htKl\nWqBxpjhHR0eMGTMGiYmJmDdvns4VcyIiIl1T5NSvDRs2hCzLmDlz5uvMh4iIiEqhyIKemJiIt956\n63XmQkRERKWksaBnZWUhKCgIHh4erzsfIiIiKgW1gn7nzh307NkTN27cwGeffaaNnIiIiKiEFJ9+\n+qnyPvQ///wTJ06cQEFBAVauXAl3d3dt50dERETFoFi1atX/3igU6Ny5M2bOnMnT7URERJWIIiYm\nBmlpaTAzM0PdunXL9UloREREVD4UTZs21XYORERE9IqKvG2NiIiIKg8WdCIiIh3Agk5ERKQDWNCJ\niIh0AAs6ERGRDlAAQFpaGlJTU1FQUKDWwN7e/rUnRURERCWjqFu3Lm7cuFFkg/z8/NeYDhEREZWG\n7OLiggULFkAIgQkTJmDq1KmoVasWmjVrhk2bNmk7PyIiIioG+dChQxg3bhwAoGfPnli4cCEuXbqE\ntLQ0JCcnazk9IiIiKg4ZAPT19QEAOTk5AABzc3OMGTMGa9eu1V5mREREVGwyAFStWhXGxsa4c+eO\ncqYvMgQAACAASURBVIGZmRmSkpK0lhgREREVn/K2tbZt2+Lbb7/FvXv3cOfOHaxbtw716tXTZm5E\nRERUTIrs7GwYGBhg3rx56NKli/I2NX19fezevVvL6REREVFxKAwMDAAAHh4euHjxIg4cOAA9PT34\n+PjwCJ2IiKiSUDz/xsnJCZ988gkAIDMzE7dv3+bEMkRERJVAkVO/7t+/H46Ojq8zFyIiIiqlIgt6\nbm4uZJlTvRMREVUGitu3b6sFU1JSsH37dlhbW2shJSIiIiopRVGn1YUQWLBgwWtOh4iIiEpDsXTp\nUpWAJEkwMTGBm5sbWrZsqaW0iIiIqCQUEydO1HYORERE9Io46o2IiEgHKE6dOoULFy4gNTUVBQUF\nKgslScKsWbO0lBoREREVl8LT0xNCCEiSBCEEACj/mwWdiIiocpBDQ0Nx48YNCCFw+PBhXLlyBR98\n8AFcXV2RkJCg7fyIiIioGGR/f3+YmZk9eyPLcHFxwZo1a+Dg4IAJEyZoOT0iIiIqDhkATE1NAQDp\n6enKBT4+Pjh8+LB2siIiIqISkQHAwMAAlpaW+OOPP5QL7t27B0mStJYYERERFZ/yaWv+/v5YunQp\n9PT0UFBQgFWrVsHX11ebuREREVExKbKzs2FgYIC5c+fi4sWLylHtnp6eWL16tZbTIyIiouJQGBgY\nAACqV6+OiIgIpKSkQE9PTzlQjoiIiCo+xT8D1apV00YeRESVXuH8HUTaoGjZsiXS0tJgZmYGFxcX\ndOvWDYMHD0aVKlW0nRsRUYWXlpaG5TNm4NSBAzDJzUWGvj48evfGZwsX8kwnvVby9evX8fTpU1y/\nfh07d+7E6NGj8fbbbyM2NlbbuRERVWhpaWl4r107tFuzBuHx8dh37x7C4+PRbs0avNeuHdLS/q+9\nO4+Lstr/AP55HiB2d0kkBBRJBA0Vl8C8RIrmVdREvFYqVlrdayi571hqVgpiP7253BuaZip4Xa5b\nmtmiqInaJUPUXFIBdxFQBJzz+0PniWEWh2WAGT7v14uXzplz5jnPM2fmO+d5znNObnVXkWoR+fbt\n27h06RLU/86ZMweZmZno27cv8vPzq7t+REQ11oJp0/B+ejp6qVRQn2iXAPRSqRCTno6F06dXZ/Wo\nltFYbc3NzQ1TpkzBtm3bcP78eSQmJlZTtYiIar4D27ahZ6lFrdR6qVQ4sHVrFdeIajOdy6eGhoai\nR48e2LZtW1XXh4jILAgh4FhUBH1D4CQADkVFyqJXRKamdz300NBQpKWlVWVdiIjMhiRJyLexgb5w\nLQDk29hw1DtVGb0B/emnn8atW7eqsi5ERGYluG9f7JZ1f43ukmV0DQ+v4hpRbaY3oFtbW6OwsLAq\n60JEZFbGz52LOF9f7JRlpacuAOyUZcT7+mLcnDnVWT2qZayPHTum84nz589XcVWIiMyLs7MzklNS\nsHD6dMRt3QqHoiLcs7FBcHg4kufM4X3oVKWsO3bsqPMJznhERPRkzs7OiE1IABIS+L1J1cr63//+\nd3XXgYjIIjCYU3WyHj58eHXXgYiIiCpI76C4iiosLMSkSZPg5uYGBwcHdOnSBXv37n1iuezsbEye\nPBmhoaGoU6cOZFnGDz/8oDf/wYMH0bVrVzg6OsLV1RVjxozhDHdERFTrmCygDx8+HIsWLcLQoUOx\nePFiWFtbo3fv3jh48KDBchkZGfj000+RmZmJtm3bGjyFdeLECXTv3h0FBQWIj4/HyJEjsXz5ckRG\nRlb27hAREdVoWsunVoYjR45g/fr1WLhwIWJiYgAAQ4cOhb+/PyZOnIiffvpJb9nAwEDcvHkT9erV\nQ3JyMlJSUvTmnTp1Kho0aIDvv/8ejo6OAAAPDw+MGjUKe/fuRffu3St3x4ioRuOgNKrNTNJDT0pK\ngrW1NUaOHKmk2dra4s0330RKSgquXLmit6yjo6NRa7Ln5uZi7969GDp0qBLMAWDYsGFwdHTEhg0b\nKrYTRGQWcnNzMSs6Gt29vNDf3R3dvbwwKzqaK51RrWOSHvqJEyfg4+MDJycnjfROnTopz7u5uVVo\nG2lpaSguLkaHDh000m1sbBAQEIDjx49X6PWJqOZTL1/6fno6Yh+veCYA7F6yBAP37UNySgrvBada\nwyQ99KysLLi6umqlu7q6QgiBzMzMStmGJEl6t1MZ2yCimo3LlxL9ySQB/f79+7C1tdVKt7OzU56v\njG0A0LudytgGEdVsXL6U6E8mCej29vZ48OCBVnpBQYHyfGVsA4De7VTGNoio5uLypUSaTHINXd8p\n76ysLABA06ZNK2UbQgjlNUtvx9htxMTEoG7duhppQ4YMwZAhQypcRyIynZLLl+oK6ly+lEpbt24d\n1q1bp5GWk5NTTbWpfCYJ6AEBAdi/fz/y8vI0BsYdOnQIkiQhICCgwtvw9/eHtbU1jh49ioiICCW9\nqKgIJ06cwODBg416nfj4eLRv377C9SGiqhfcty92L1mCXjpOu3P5UipNV2ft2LFjWoOrzZVJTrlH\nRESguLgYy5cvV9IKCwuRmJiILl26KCPcs7OzkZGRgYcPH5Z5G3Xq1EH37t2xZs0ajZnhVq9ejfz8\nfE4uQ1QLcPlSoj+ZpIfeqVMnDBo0CFOmTMHVq1fh7e2NxMREXLx4EV988YWSb/LkyVi9ejUuXLiA\nZs2aKelz5syBJEk4efIkhBBYvXo1fvzxRwDAtGnTlHxz585FcHAwunXrhlGjRuHSpUuIi4tDz549\n0aNHD1PsGhHVIFy+lKgEYSIPHjwQEydOFE2bNhX29vaic+fOYs+ePRp5oqKihJWVlbh48aJGuiRJ\nQpZlrT8rKyut7Rw4cEB07dpVODg4iKefflpER0eLvLy8J9YvNTVVABCpqakV21EiqjFUKlV1V4HM\njCXFAkmI2jkEVH3dJDU1ldfQiYhqKUuKBSZbnIWIiIiqDgM6ERGRBWBAJyIisgAM6ERERBaAAZ2I\niMgCMKATERFZAAZ0IiIiC8CATkREZAEY0ImIiCwAAzoRmVwtnZCSqEoxoBORSeTm5mJWdDS6e3mh\nv7s7unt5YVZ0NHJzc6u7akQWySSrrRFR7Zabm4uBzz+P99PTEatSQcKjZU13L1mCgfv2ITklhSuh\nEVUy9tCJqNItmDYN76eno9fjYA4AEoBeKhVi0tOxcPr06qwekUViQCeiSndg2zb0VKl0PtdLpcKB\nrVuruEZElo8BnYgqlRACjkVFSs+8NAmAQ1ERB8oRVTIGdCKqVJIkId/GBvrCtQCQb2MDSdIX8omo\nPBjQiajSBffti92y7q+XXbKMruHhVVwjIsvHgE5ElW783LmI8/XFTllWeuoCwE5ZRryvL8bNmVOd\n1SOySAzoRFTpnJ2dkZySgsOjRyPM0xP93NwQ5umJw6NH85Y1IhPhfehEZBLOzs6ITUgAEhIghOA1\ncyITYw+diEyOwZzI9BjQiYiILAADOhERkQVgQCciIrIADOhEREQWgAGdiIjIAjCgE5GC86sTmS8G\ndKJaLjc3F7Oio9Hdywv93d3R3csLs6KjkZubW91VI6Iy4MQyRLVYbm4uBj7/PN5PT0fs47XLBYDd\nS5Zg4L59nNWNyIywh05Uiy2YNg3vp6ej1+NgDjxa3rSXSoWY9HQsnD69OqtHRGXAgE5Uix3Ytg09\nVSqdz/VSqXBg69YqrhERlRcDOlEtJYSAY1ER9E3KKgFwKCriQDkiM8GATlRLSZKEfBsb6AvXAkC+\njQ3nYScyEwzoRLVYcN++2C3r/hrYJcvoGh5exTUiovJiQCeqxcbPnYs4X1/slGWlpy4A7JRlxPv6\nYtycOdVZPSIqAwZ0olrM2dkZySkpODx6NMI8PdHPzQ1hnp44PHo0b1kjMjO8D53IAgghyn2t29nZ\nGbEJCUBCQoVeh4iqF3voRGbKFDO8MZgTmS/20InMEGd4I6LS2EMnMkOc4Y2ISmNAJzJDnOGNiEpj\nQCcyM5zhjYh0YUAnMjOc4Y2IdGFAJzJDnOGNiEpjQCcyQ5zhjYhKY0AnMkOc4Y2ISuN96ETVrLyz\ns3GGNyIqiT10ompQ2bO8MZgTEXvoRFWMs7wRkSmwh05UxTjLGxGZAgM6URXjLG9EZAoM6ERViLO8\nEZGpmCygFxYWYtKkSXBzc4ODgwO6dOmCvXv3GlU2JycHo0aNgouLC5ycnBAaGorjx49r5QsJCYEs\ny1p/vXv3ruzdIaoUnOWNiEzFZIPihg8fjk2bNiEmJgbe3t5ITExE7969sX//fgQFBektJ4RA7969\nkZaWhokTJ6Jhw4ZYunQpQkJCcOzYMbRo0ULJK0kS3N3dMX/+fI0eTdOmTU21W0QVFty3L3YvWYJe\nOk67c5Y3Iio3YQKHDx8WkiSJuLg4Ja2goEB4e3uL4OBgg2XXr18vJEkSmzZtUtKuX78u6tevL157\n7TWNvCEhIaJNmzblqmNqaqoAIFJTU8tVnqi87t69K3r4+YkdsixUgBCAUAFihyyLHn5+4u7du9Vd\nRaJaw5JigUlOuSclJcHa2hojR45U0mxtbfHmm28iJSUFV65c0Vs2OTkZTZo0wYABA5S0Ro0aITIy\nElu2bEFRUZFWmYcPHyI/P79yd4LIRDjLGxGZgkkC+okTJ+Dj4wMnJyeN9E6dOinP63P8+HG0b99e\nK71Tp064d+8eTp8+rZF++vRpODo6wtnZGa6urpg5cyaKi4srYS+ITEc9y9ue8+ex+dIl7Dl/HrEJ\nCQzmRFRuJrmGnpWVBVdXV610V1dXCCGQmZlpsOxf/vIXnWUBIDMzE35+fgAAb29vhIaGok2bNsjP\nz0dSUhLmzJmDM2fOYN26dZW0N0SmxQFwRFQZTBLQ79+/D1tbW610Ozs75fnylBVCaJRdsWKFRp7X\nXnsNb7/9NlauXImYmBjljAAREZGlM8kpd3t7ezx48EArvaCgQHm+PGUlSTJYFgDGjRsHIYTRt8gR\nERFZApP00F1dXXWeVs/KygJg+LYyV1dXJV9ZywKAu7s7AODWrVtG1TUmJgZ169bVSBsyZAiGDBli\nVHkiIjIP69at07ocm5OTU021qXwmCegBAQHYv38/8vLyNAbGHTp0CJIkISAgwGDZn376SSv90KFD\ncHBwgI+Pj8Ft//777wCAxo0bG1XX+Ph4nYPwiIjIsujqrB07dgwdOnSophpVLpOcco+IiEBxcTGW\nL1+upBUWFiIxMRFdunSBm5sbACA7OxsZGRl4+PChRtmrV69i06ZNStqNGzeQlJSE8PBw2NjYAHi0\nYlVhYaHWtufMmQNJktCzZ09T7BqRXoLTtRJRNTJJD71Tp04YNGgQpkyZgqtXryozxV28eBFffPGF\nkm/y5MlYvXo1Lly4gGbNmgF4FNAXLVqEESNG4OTJk2jUqBGWLl0KlUqF2NhYpeyxY8eUX1ve3t64\nf/8+Nm3ahJSUFLz99tsGzwIQPYkQwqjR57m5uVgwbRoObNsGx6Ii5NvYILhvX4yfO5e3oBFRlTLZ\n1K9ffvklZsyYgTVr1uD27dto27Yttm/fjuDgYCWPJEmQZc2TBLIsY+fOnZgwYQI+++wz3L9/H506\ndcLq1avRsmVLJZ+Hhwe6deuGzZs3Izs7G7Isw9fXF8uWLcNbb71lqt0iC1bW4Mx1zYmoJpFELT1P\nqL5ukpqaymvotcCTetwlg3PPksFZlhHn66szOM+KjsbzeuZk3ynLODx6NGITEip5T4ioMllSLODy\nqWSxcnNzMSs6Gt29vNDf3R3dvbwwKzoaubm5WnkXTJuG99PT0etxMAceLWXaS6VCTHo6Fk6frlWG\n65oTUU3CgE5mTd8JJnWP+/klS7DnwgVsuXIFey5cwPNLlmDg889rBfWyBmfBdc2JqIZhQKcayVAg\nNKbnXZYed3mCM9c1J6KahgGdagxjArWxPe+y9LjLG5yD+/bFbln3R4jrmhNRVWNApxrB2EBtTM+7\nPD3u8gTn8XPnIs7XFztlWfkxIPBoQFy8ry/GzZlTnkNBRFQuDOhUIxh7ityYnnd5etzlCc5c15yI\nahIGdKoRjAnUZel5l7XHXd7gzHXNiaimMNnEMkS66Lof3NhADUDpeevKW7LnPX7uXAzctw+iRK9f\n4FEwj/f1RbKeHndsQgKQkGD0THEa9eQAOCKqRuyhk8k9abBbWU6RG9vzrujpcAZnIjI37KGTSRk7\nPWpw377YrWfWtZKBuiw974r2uImIzAl76FSpSt8/buxgN2MHpZW3581gTkSWjj10qjBDi5oc2LYN\nsQYGu8Vt3Qo8HkSWnJKChdOnI27rVjgUFeGejQ2Cw8ORPGeORqBmz5uISBsDOlWIoVPqr3z7Lewf\nPDBqVLokSeUK1AzmRESPMKBThZQ8pa6mPqUuTp3CDEdHo0all8ZATURUNryGTmVS+hr5k+4fLwQ4\nPSoRURVgQKcn0nfb2d27d594/7i7kxOnRyUiqgI85U4GGbpGHrFvH4qtrAyeUn9ga4v/GDnYjYiI\nyo8BnQwyeI08PR2L2rTB7suXDd4/zlHpRESmx1PupKHM18hv3y7TKXUGcyIi02BApwpdI6/z8CGS\nDh7kimNERNWMp9xroZKnvSt6jTzfxgZ16tThKXUiomrGgF5L6JvNrbCwsMLXyEtiMCciqh4M6LWA\noV74eCsrzDNwjfyTx9fIy7IMKRERVT1eQ68F9C2Q0lOlghuvkRMRWQT20GsBfQukSAAeArxGTkRk\nAdhDt1Dq28+EEAZHqgcD2KHnOV4jJyIyH+yhWxB9A99yDYxUHwcg0MYG8sOHvEZORGTGGNAthKGB\nb5vr1cMuWcbLOk67H5BlDHzzTRx+6ilOzUpEZMYY0C2EoSla82/fxpT69YE7d3T3wj/55FHg5jVy\nIiKzxWvoFsLQFK2vCIH6Tk5GjVRnMCciMk/soVuAJw18U99+NmvRIkjshRMRWST20C2AJEnIt7GB\n0PO8+vYzdRBnMCcisjwM6BYiuG9f7JZ1v526bj8jIiLLwoBuIcbPnVumZUyJiMiyMKCbOfUEMs7O\nzkhOSeEUrUREtRQHxZkhfRPIjJ87l1O0EhHVUgzoZsbQBDID9+1TeuMM5kREtQtPuZsZfSun9VKp\nEJOejoXTp1dn9YiIqJowoJsZQxPI9FKpcGDr1iquERER1QQM6GbEmAlkHIqKlIFyRERUezCgm5Gy\nTiBDRES1BwO6mVD3ujmBDBER6cKAXsOUPF2em5uLWdHR6O7lhf7u7uju5YUHhYVY8OyznECGiIg0\n8La1GkDXfeWBPXvi6A8/YHxGhubtaStW4IiPD34cNQpxu3Zx/XIiIgLAgF7t9N1XPmLZMsQA6FUi\nr/r2NHH6NA6HhWHP+fOcQIaIiADwlHu1UZ9a13df+WUAvfWULXl7GoM5EREB7KFXKV2n1u/cvInY\nUveVCwCOgFG3pzGgExERwIBeqfQFWCEE8vLytE6tqwC8DO3ALQHIx6PAritc8/Y0IiIqjQG9gvQt\nlPL25MlYNn++kn7+7l18lJurcU1cBvAQugN3MIBdeBTwS+PtaUREVBoDegXcvXsXEUFBWgPa/vN/\n/4eQ5cuRUFSkpHeH7mvi+gL3eABhAB5KEv4qhPLaux7fnpbM29OIiKgEBnQjqU+nl+yR37p+HR/m\n52uNRP9FCCx68EAJ0oauiY8HMBCPeup/fZxHAPhJlmHv44ODISFI4O1pRET0BAzoBpQ+nZ5jZYU7\neXn46M4dxKpU6AHdve4DAGJLPDZ0TdwZQBKArs7OSGjYUCNwbykRuDkAjoiIDGFA10HfILaZALrg\n0elxfb1ufenBAHZD875ytQOyjFdGjEBsQoLewM1gTkREhpjsPvTCwkJMmjQJbm5ucHBwQJcuXbB3\n716jyubk5GDUqFFwcXGBk5MTQkNDcfz4cZ15Dx48iK5du8LR0RGurq4YM2YM8vPzy1RXIYTWNKvB\nbm4Yc/Kkxv3hB/Hnte6Sve6S9KWPBxAHYEeJ53RN2crATURE5WGyHvrw4cOxadMmxMTEwNvbG4mJ\niejduzf279+PoKAgveWEEOjduzfS0tIwceJENGzYEEuXLkVISAiOHTuGFi1aKHlPnDiB7t27o3Xr\n1oiPj8fly5fx6aef4uzZs9i+fbtR9XynTx80BnDmxg3EFxUhFtA5iE1Xz1tfrzsYwM5S5Z0BJAN4\nD8BMZ2e41anDa+JERFR5hAkcPnxYSJIk4uLilLSCggLh7e0tgoODDZZdv369kCRJbNq0SUm7fv26\nqF+/vnjttdc08r788svCzc1N5OXlKWkrV64UsiyLPXv2GNxOamqqACCOAmImIHYAQjz+UwEivMRj\n9d9Lj59TP74LiB6Py6pKlE2SJNHS1lZsl2WN9B2yLHr4+Ym7d+8KlUpVlkNqEl999VV1V6Ha1fZj\nUNv3Xwgeg9q+/+pYkJqaWt1VqTCTnHJPSkqCtbU1Ro4cqaTZ2trizTffREpKCq5cuaK3bHJyMpo0\naYIBAwYoaY0aNUJkZCS2bNmCoqIiAI8GrO3duxdDhw6Fo6OjknfYsGFwdHTEhg0bjKqrhEeD2EqP\nVNd12lzdI1dT97oPA+gK4EVHR4R5eiLtvfew/9w5HBk9GmGenujn5oYwT08cHj0aySkpcHZ2rhGn\n1tetW1fdVah2tf0Y1Pb9B3gMavv+WxKTnHI/ceIEfHx84OTkpJHeqVMn5Xk3NzedZY8fP4727dtr\npXfq1AkrVqzA6dOn4efnh7S0NBQXF6NDhw4a+WxsbBAQEKD3mntpZRnEVvIWs96PyzgB6CzLOOjr\ni6SDB1GnTh0lf2xCAmBgoBsREVFlMUkPPSsrC66urlrprq6uEEIgMzOzXGUBKGWzsrIgSZLevIa2\nUVJZBrE5AXhbkjC1QQN09/DQ6nmXDOYa22AwJyIiEzNJD/3+/fuwtbXVSrezs1OeL09ZIYRSVv2v\nvryGtlGart64oUFsPz0exMaeNxER1RQmCej29vZ48OCBVnpBQYHyfHnKSpKklFX/qy+voW0Af/4g\nSMejEe0TAJwBEIQ/Z2s7KEk45eWF+MREODg4KMH7zJkzBl/bXOTk5ODYsWPVXY1qVduPQW3ff4DH\noLbvf3p6OgDDHU1zYZKAru+Ud1ZWFgCgadOmBsuq8xkqqz59ry+voW0AwIULFwAAr5dIO1w6kxDA\nuXPo1q2bwdcyZ6XHINRGtf0Y1Pb9B3gMavv+A49iQnBwcHVXo0JMEtADAgKwf/9+5OXlaQyMO3To\nECRJQkBAgMGyP/30k1b6oUOH4ODgAB8fHwCAv78/rK2tcfToUURERCj5ioqKcOLECQwePNhgHXv2\n7Ik1a9bA09Pzib15IiKyTPfv38eFCxfQs2fP6q5KxZniXjj1fegLFy5U0h48eCBatmwpgoKClLSs\nrCxx6tQpUVxcrKStX79eyLIskpOTlTT1feivvvqqxnYM3Yf+zTffmGLXiIiIaiRJCFF6gHelGDx4\nMDZv3oyxY8cqM8UdPXoU+/btU05rREVFYfXq1bhw4QKaNWsGAFCpVOjatStOnjyJ8ePHo1GjRli6\ndCkuXbqEn3/+GS1btlS2cfz4cQQHB8PX1xejRo3CpUuXEBcXh5CQEOzYscMUu0VERFQjmWwu9y+/\n/BJjx47FmjVrMGbMGDx8+BDbt2/XuEYhSRJkWbMKsixj586dGDx4MD777DNMnDgRLi4u+O677zSC\nOQC0a9cOe/fuhYODA95//32sXLkSI0eOxMaNG021W0RERDWSyXroREREVHVM1kMnIiKiqmNRAb2q\nlmytycp7DFatWgVZlrX+rKyscO3atSqoeeXIz8/HrFmz8PLLL6Nhw4aQZRmrV682urwltIOKHANL\naAdHjx7F6NGj4e/vDycnJ3h4eGDw4MFGzx9h7m2gIvtvCe8/APz222+IjIxEixYt4OjoiIYNGyIo\nKAhr1641qry5tgGTLZ9aHapiydaarrzHAHg0puHDDz+Ep6enRnq9evVMWOPKdePGDXz44Yfw8PBQ\nbp80lqW0g4ocA8D828HHH3+MgwcPYtCgQWjbti2ys7Px2WefoX379jh8+DBat26tt6wltIGK7D9g\n/u8/AFy8eBF5eXmIiopC06ZNce/ePSQnJ2Po0KG4ePEipk6dqresWbeB6htgX7mqasnWmqwixyAx\nMVHIsmz2SwgWFhaKq1evCiGEOHr0qJAkSaxatcqospbSDipyDCyhHaSkpIiioiKNtDNnzgg7Ozsx\ndOhQg2UtoQ1UZP8t4f3XR6VSiYCAAOHh4WEwnzm3AYs55V4VS7bWdBU5BiXl5eVBpVKZqpomZWNj\nAxcXl3KVtZR2UJFjUJK5toMuXbrA2lrz5KO3tzf8/PyUaT71sYQ2UJH9L8lc3399JEmCu7u71rEp\nzZzbgMUEdGOWbNXH0JKt9+7dw+nTpyu3siZSkWMAPDrVFBISgjp16sDBwQH9+vXD2bNnTVbfmsZS\n2kFFWWo7uHr1Kho1amQwjyW3AWP2H7Cs9//evXu4efMmzp07h/j4eOzevRuTJk0yWMac24DFBPSq\nWLK1pqvIMXBwcMCIESOwdOlSbN68GZMmTcK3336L4OBgo3v25s5S2kFFWGo7WLNmDa5cuYK//e1v\nBvNZahswdv8t7f0fN24cGjduDG9vb0yePBkJCQkaZzB1Mec2YDGD4qpiydaariLHYNCgQRg0aJDy\nODw8HGFhYejWrRvmzp2LpUuXVn6FaxhLaQcVYYnt4NSpUxg9ejSCg4MxbNgwg3ktsQ2UZf8t7f2P\niYnBoEGDkJmZia+++gqjR4+Gg4ODweNgzm3AYgJ6VSzZWtNV5BjoEhwcjM6dOxt965+5s5R2UNnM\nuR1cvXoVf/3rX1G/fn1s3LhRWQJZH0trA2Xdf13M+f338fFRFvR6/fXX0bNnT4wdOxaRkZFKR6c0\nc24DFnPK3dhlVyu7bE1iiv1wd3fHrVu3Klw3c2Ap7cAUzLEd3L17F7169cLdu3exa9cuNGnSE4XX\nvAAAF29JREFU5IllLKkNlGf/9THH91+XiIgI5OTk4NSpU3rzmHMbsJiAHhAQgNOnTyMvL08j3dgl\nW48dO6aVXnrJ1pquIsdAn3PnzqFx48aVVcUazVLagSmYWzt48OAB+vTpg7Nnz2L79u149tlnjSpn\nKW2gvPuvj7m9//qoT5eXXkOkJHNuAxYT0CMiIlBcXIzly5craYWFhUhMTESXLl3g5uYGAMjOzkZG\nRgYePnyoUfbq1avYtGmTknbjxg0kJSUhPDwcNjY2VbcjFVCRY3Djxg2t19uxYwdSU1Px8ssvm77y\nVcyS24GxLLUdqFQqREZG4vDhw0hKSlLu8ijNUttARfbfEt5/ALh+/bpWWnFxMVatWoUGDRrAz88P\ngOW1AYtanKUqlmyt6cp7DHx8fNCuXTsEBgaibt26SE1NxRdffAE3NzccOXLErH6dL1myBHfu3MGV\nK1fw+eef45VXXkG7du0AANHR0XB2drb4dlDeY2AJ7WDs2LFYvHgxwsPDNQZ4qb322msALPe7oCL7\nbwnvPwC88soruHv3Lrp16wY3NzdkZ2dj7dq1yMjIQGJiIoYOHQrAAttANU1oYxIPHjwQEydOFE2b\nNhX29vaic+fOYs+ePRp5oqKihJWVlbh48aJG+p07d8TIkSNF48aNhZOTkwgNDRXHjh2ryupXivIe\ngxkzZoj27duL+vXrC1tbW+Hp6SlGjx4trl27VtW7UGGenp5ClmWdf+p9tvR2UN5jYAntICQkRO++\ny7Ks5LPUNlCR/beE91+IR7O9hYWFCVdXV/HUU0+JRo0aid69e4tvv/1WI5+ltQGL6qETERHVVhZz\nDZ2IiKg2Y0AnIiKyAAzoREREFoABnYiIyAIwoBMREVkABnQiIiILwIBORERkARjQiYiILAADOhER\nkQVgQCciIrIADOhEtUBISAhefPHFcpWVZRkffPBBJdeo5oqNjdVaXtPT0xNvvPFGNdWIyDgM6Caw\ncuVKhISEoEmTJrCzs4OHhweGDBmC3377rcyvlZOTAxcXF8iyrLGc35Ns3boVHTp0gL29PTw8PBAb\nG6uxRKA5WrVqFWRZ1vlnZWWFI0eOVHcVq1V6ejpmz56NP/74Q+s5SZIMrgFdWW7duoUJEyagVatW\nsLe3R8OGDdGrVy9s377d5Nsui/v372P27Nn44YcftJ7TdawkSaqqqhGVm3V1V8ASHT9+HM2bN0e/\nfv1Qv359nD9/HsuXL8f27duRmppapuX3ZsyYgYKCgjJ9oezcuRMDBgxAaGgo/u///g9paWmYM2cO\nrl+/jiVLlpRnl2oMSZLw4YcfwtPTU+s5b2/vqq9QDfLbb79h9uzZePHFF5WlINX27Nlj8u1nZGTg\npZdews2bN/HGG2+gQ4cOuHPnDtauXYu+fftiwoQJ+Pjjj01eD2Pcu3cPs2fPhiRJ6Natm8ZzM2bM\nwJQpU6qpZkTlx4BuArqCZr9+/RAYGIi1a9ciNjbWqNf59ddf8fnnn2PWrFmYOXOm0dsfP348AgIC\nsHv3bqWn4ezsjI8++ghjxoyBj4+P0a9VE/Xq1Qvt27ev7mrUOEIIvT/8rK1N+1EvLi5GREQEcnJy\n8OOPPyIwMFB5LiYmBq+++ioWLFiAwMBAnWt0VzVDi0zKsoynnnqqCmtDVDnKfA5OfX0pIyMDkZGR\nqFu3Lho1aoSxY8fiwYMHf76wLCM6OhobNmyAn58fHBwcEBQUhLS0NADA559/jpYtW8Le3h6hoaFa\npwl/+uknREZGwsPDA3Z2dmjWrBnef/99FBQUaNVp48aN8PPzg729Pdq2bYvNmzcjKioKXl5eSp6L\nFy9ClmXExcVh0aJF8PT0hIODA0JCQnDy5EklX2JiImRZxi+//KK1nXnz5sHa2hpZWVllPWzw8PAA\nANjY2BhdZsyYMRg4cCC6du1q8AuopPT0dKSnp2PUqFEapw3//ve/Q6VSISkpqWwVN0OxsbGwsrLC\nd999p5E+atQo2NraKm3w+++/hyzL2LBhA6ZOnQpXV1c4OTmhX79+uHz5stbrbty4EYGBgXBwcEDj\nxo0xdOhQZGZmauSJioqCs7MzMjMz0b9/fzg7O8PFxQUTJkzQeg+FEFi0aBH8/f1hb2+PJk2a4J13\n3sGdO3c08nl6eiI8PBwHDhxA586dYW9vjxYtWuDLL79U8qxatQqRkZEAHl0vV1+GUJ9SDgkJQWho\nqJK/qKgIM2fORGBgIOrVqwcnJyd069YN+/fvL+PRfiQpKQknT57ElClTNII58OisyrJly1C3bl2N\nH7Pqz1rpz776fSl5OtzY7wNjjv/Fixfh4uICSZKU77OS4wR0XUPXJScnB2PHjkWzZs1gZ2eHli1b\n4pNPPjH6s0pU6cq6gHpsbKyQJEm0bdtW9OvXTyxdulQMGzZMSJIkhg8f/udC64/zeHh4iE8++UR8\n8sknol69esLDw0PEx8cLf39/ER8fL2bOnClsbW3FSy+9pLGd6Oho0adPHzF//nyxYsUKMXLkSGFt\nbS0iIyM18v33v/8VsiyLdu3aiUWLFolZs2aJBg0aiDZt2ggvLy8l34ULF5Q6NW/eXHz66afiww8/\nFI0aNRJPP/20uHbtmhBCiNzcXOHg4CAmTJigte9+fn6iR48eRh+rmzdvimvXromff/5Z9O3bV7i6\nuorLly8bVXbDhg3CwcFB/PHHH2L//v1CkiSRnJz8xHJr164VsiyLn3/+Wes5d3d3ERERYXT9a5rE\nxEQhy7LYt2+fuHHjhsbfzZs3lXxFRUWiffv2wsvLS+Tl5QkhhNi1a5eQJEnMmzdPyac+rm3bthUB\nAQFi0aJFYurUqcLe3l60atVKFBQUKHm/+OILIUmS6NKli0hISBBTp04VDg4Oonnz5iInJ0fJFxUV\nJRwcHIS/v7946623xLJly8SgQYOELMvi888/19ift956Szz11FPinXfeEcuXLxdTpkwRTk5OonPn\nzqK4uFjJ5+npKVq1aiVcXV3F9OnTxdKlS0VgYKCwsrISv/32mxBCiHPnzokxY8YIWZbFjBkzxNq1\na8XatWuVdh0SEiJefPFF5TVv3Lgh3NzcxPjx48WyZcvEggULhK+vr7C1tRW//PKLRj0lSRKzZ882\n+N68+uqrQpZl8ccff+jNExUVJWRZFr///rvG+3nx4kWNfPv37xeyLIvvv/9eSTP2+8CY45+fny+W\nLVsmJEkSAwcOVI5VWlqaEOLRd5wsyxqv6+npKUaMGKE8vnfvnmjbtq1o3LixmDFjhli+fLmyfzEx\nMQaPFZGplDugDxgwQCP9H//4h5BlWflQSJIk7O3tNT7gy5cvF5IkCVdXV5Gfn6+kT506VeuDXfLL\nVG3+/PnCyspKXLp0SUlr06aNaNasmbh3756S9sMPPwhJknQGdEdHR5GVlaWkHzlyREiSJMaNG6ek\nvfrqq+KZZ57R2PaxY8eEJEli9erVTz5Ij9nZ2QlJkoQkScLb21tkZGQYVe7+/fvCw8NDTJ8+XQgh\nyhTQFyxYIGRZ1vnDoVOnTiIoKMjo+tc0iYmJyvEs/Wdvb6+R99dffxW2trZi1KhR4s6dO8LNzU10\n7txZPHz4UMmjPq7u7u4a7XHjxo1CkiTx2WefCSEe/UB4+umnxXPPPScePHig5Nu+fbuQJEnExsYq\naeov9blz52rUp3379qJjx47K4x9//FFIkiS+/vprjXzffPONkCRJrFu3Tknz9PQUsiyLAwcOKGnX\nr18XdnZ2Gj88k5KStAKhWumArlKpRFFRkUaenJwc0aRJE/HWW29ppBsT0Nu1ayfq169vME98fLyQ\nZVn897//FUKULaAb+31g7PG/ceOG3v0yJqB/+OGHwtnZWflxojZlyhRhY2Nj9A93ospUrmGvkiTh\nH//4h0bae++9ByEEduzYoaR1794d7u7uyuPOnTsDAAYNGgQHBwet9HPnzilptra2yv/v3buHmzdv\n4vnnn4dKpcLx48cBAFlZWfj1118xfPhw2NvbK/lfeOEFtGnTRmfdBwwYgCZNmiiPO3bsiM6dO2vU\ne9iwYcjMzNQ4Zbt27Vo4ODjglVdeMXRoNOzatQs7d+5EXFwcCgoKEBYWhitXrjyx3EcffYTi4uJy\nDcy5f/8+AM3jp2ZnZ6c8b64kScI///lP7N27V+Nv586dGvn8/Pwwe/ZsrFixAj179sStW7eUUfKl\nDR8+XKM9RkREwNXVVWkTP//8M65du4a///3vGtdWe/fujVatWukcwf32229rPH7hhRc02ndSUhLq\n1aunDCJT/7Vr1w5OTk5alwtat26NoKAg5XGjRo3w7LPParxmWUiSpFxXF0Lg9u3bKCwsRGBgII4d\nO1bm18vNzYWzs7PBPOrnc3Nzy/z6xnwflPSk419RSUlJeOGFF1C3bl2N9++ll15CcXGxztHzRKZW\n7pEypUcUt2jRArIs48KFC0payWAOAHXr1gUAPPPMM1rp6i8VtUuXLmHGjBnYtm2bRrokScjJyQHw\n6FqYetu66qfrg65rJLSPjw82btyoPO7RoweaNGmCtWvX4sUXX4QQAl9//TX69+8PR0dHAEB+fj7y\n8vKUMlZWVmjUqJHG6/7lL38BAPTs2RPh4eHw9/fHBx98gGXLlmnVQe3ChQtYsGAB/vnPf2oEGWOp\nf9iUHM+gVlBQoPHDx1x17NjRqEFxEyZMwNdff42ff/4Z8+bNw7PPPqszn6424e3trbTlP/74A5Ik\n6RxM2KpVKxw4cEAjzc7ODg0bNtRIq1+/vkY7PnPmDO7cuQMXFxet15QkCdeuXdNIKz1qXddrltWq\nVasQFxeHU6dOoaioSElv3rx5mV/L2dlZ47OvizqQ69rnJzHm+0DNmONfUWfOnEFaWhoaN26s9Zyu\n94+oKlTa0Fddo2utrKx05tWXLh4PJlGpVOjevTvu3LmDKVOm4Nlnn4WjoyOuXLmC4cOHQ6VSVVa1\ndZJlGa+++ipWrlyJpUuX4scff0RmZiZef/11Jc+CBQswe/Zs5bGnp6fBHkDz5s3Rrl07HD582OC2\nZ86ciWeeeQbdunVTfrCoB+Fdv34dFy9eRLNmzfSOZnZ1dVXKuLm5aTyXlZWlnA2pDX7//XecOXMG\nAJSBcFVBX/suSaVS4emnn8ZXX32lcxBV6UDxpM9MWa1ZswYjRozAK6+8gokTJ8LFxQVWVlaYN29e\nuXqyrVu3xi+//ILLly9r/WBXUw80Vf9g0NeGS8+XUNbvA2OOf0WpVCr06NEDkyZN0vkemPudJGSe\nyh3Qz5w5o4zcBoCzZ89CpVJpjCwvr7S0NJw5cwZffvklXnvtNSV97969GvnU2z979qzWa+hKU9e7\ntNOnT2vd1zxs2DDExcVh27Zt2LFjB1xcXBAWFqY8P3z4cLzwwgvKY2N6vvfv33/i6NlLly7h7Nmz\nWr0kSZLw7rvvQpIk3L59G3Xq1NFZPiAgAEIIHD16VGO0cVZWFi5fvox33nnnifW0BEIIREVFoW7d\nuoiJicHcuXMRERGB/v37a+XV1SbOnj2L5557DsCjdiaEQEZGBkJCQjTyZWRkaHwOjNWiRQt8++23\nCAoK0nl5pDzKMldBcnIyWrRooXXXQ1lujyypb9+++Oqrr7B69WpMnTpV6/nc3FxlsiP1Z61+/foA\ngDt37micgSjd0zf2+6AsKjpRTIsWLZCXl1fu2feITKFc19CFEFr3Wi9evBiSJOHll1+ucKXUv7BL\n//JetGiRxgfR1dUV/v7+WL16Ne7du6ekf//993p7ZJs3b9a41ejIkSM4fPgwevfurZGvTZs2aNOm\nDVasWIHk5GQMGTJEIxh7enoiNDRU+Xv++ecBPOpdlL7tSL2dtLQ0rUksMjIycOnSJeXx3Llz8Z//\n/AebN29W/ubMmQMAmDRpEv7zn/8op/2Li4uRkZGB7OxspXzr1q3RqlUrLF++XKPnsHTpUsiyjIED\nB+o8LpZm4cKFOHToEFasWIEPPvgAQUFBePfdd3Hr1i2tvKtXr9a4fLJx40ZkZWUpbSIwMBAuLi74\n/PPPNU5N79y5E+np6ejTp0+Z6xcZGYni4mKdU6o+fPhQ6zSyMRwdHSGE0Nn+StPViz18+DBSUlLK\nvF0AGDhwIPz8/DB//nykpqZqPCeEUG7HmzZtmpLeokULCCE0rjerVCosX75cZ12f9H1QFurLWcYc\nK10iIyORkpKCb775Ruu5nJwcs5+VkcxTuXvo58+fR79+/dCrVy8cPHgQa9euxeuvvw5/f/8KV6pV\nq1Zo0aIFxo0bh8uXL6NOnTpITk7W+eGbN28e+vfvj6CgIIwYMQK3bt3CkiVL0KZNG40vaTVvb290\n7doV7777LgoKCpCQkIDGjRtjwoQJWnmHDRuG8ePHQ5IkjZ6BIXl5eXB3d8fgwYPh5+cHR0dH/O9/\n/0NiYiJcXV0xefJkjfy+vr4ICQnBvn37AEBj4JOaeoxBx44dER4erqRfuXIFvr6+iIqKwr///W8l\n/dNPP0W/fv3Qo0cP/O1vf0NaWhqWLFmCkSNH6r2ObC7UAy/T09O1ngsKCoKXlxfS09Mxc+ZMjBgx\nQgnKiYmJCAgIwLvvvov169drlGvQoAG6du2KESNGIDs7GwkJCfDx8cFbb70F4NGkLB9//DHeeOMN\ndOvWDUOGDEF2djYWL16M5s2bY+zYsWXej27duuHtt9/G/PnzceLECYSFhcHGxganT59GUlISFi9e\nXKYBmMCjszNWVlb4+OOPcefOHdja2uKll17SGtsBAH369MGmTZvQv39//PWvf8W5c+ewbNky+Pn5\n6fzcPIm1tTWSk5Px0ksvKccyMDAQt2/fxrp163DixAnMmjUL/fr1U8q0bt0aXbp0weTJk3Hz5k00\naNAAX3/9tVbgLsv3gbHs7OzQunVrrF+/Hi1btkSDBg3g7+8PPz8/o8pPmDABW7duRZ8+fRAVFYUO\nHTogPz8f//vf/7Bp0yZcuHABDRo0KHf9iMqlrMPi1bd0nDp1SgwaNEjUrVtXNGzYUIwZM0bjlh5Z\nlkV0dLRG2QsXLghZlkVcXJxGuvo2lZK3ZZ06dUqEhYWJOnXqCBcXF/HOO++ItLQ0IcuyWLVqlUb5\nDRs2iNatWws7Ozvh7+8vtmzZIiIiIkTr1q01ti1Jkli4cKGIj48XHh4ewt7eXoSEhCi32pWWnZ0t\nrK2tha+vr9HHp7CwUMTExIiAgABRr149YWtrK1q0aCHee+89kZ2drZVflmURGhpq8DV1HR/1Psmy\nLN544w2tMlu2bBHt27cX9vb2olmzZmLWrFka9zabI/VtTvr+Vq1aJR4+fCg6deokPDw8xN27dzXK\nL168WMiyLDZu3CiE+PO4rl+/XkybNk00adJEODo6ivDwcI1bodQ2btwoOnToIOzt7UWjRo3EsGHD\nRGZmpkaeqKgoUadOHa2ysbGxwsrKSit95cqVomPHjsLR0VHUrVtXPPfcc2LKlCkabcXLy0uEh4dr\nlQ0JCdFqO//617+Et7e3sLGx0bj1S1fe+fPnCy8vL2Fvby86dOggduzYIaKiokTz5s018smyLD74\n4AOt7ety8+ZNMWHCBOHj4yPs7OyU92bNmjU6858/f16EhYUJe3t74erqKmbMmCG+/fZbrdvWjP0+\nKMvxP3TokOjYsaNST/UtbLryenl5aX3O8vPzxbRp05R9dXFxEV27dhXx8fFm/1kj81TugF5yIo+a\nKCAgQISFhSmPSwZ0Y924cUPY2Nho3dNKlqEs9/dT+fz666+iXr16om3bthoT8BBR5TP71daKi4u1\nrlft378fv/zyS4UHrHzxxRdQqVQao9uJyHh+fn7YsmULzpw5gwEDBqC4uLi6q0Rkscx+cZYrV66g\ne/fueP3119G0aVOkp6dj2bJlaNq0qdbkEsb67rvvcPLkScybNw8DBgzQeQ8wERmnW7duGoNWicg0\nzD6g169fH4GBgfjXv/6F69evw9HREX379sVHH32k3BajJkmSUaNiP/jgA6SkpKBr165YvHixqapO\nNQDXuSYiSyEJwaWBiIiIzN3/A4s1FEi1ekAoAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 43, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename=\"Chapter_12-ps12-3.dat_exp1.png\",width=400)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "" ] }, "execution_count": 44, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename=\"Chapter_12-ps12-3.dat_unf2.png\",width=400)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text/plain": [ "" ] }, "execution_count": 45, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename=\"Chapter_12-ps12-3.dat_exp2.png\",width=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The uniform null hypothesis fails at the 95\\% confidence level for the normal data. So lets try pmag.dobingham and pmag.dokent for the whole dataset and the norm and reverse data, respectively. Note that dokent has a different syntax. " ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'Zdec': 200.32649883656464, 'Edec': 85.049197823549818, 'Eta': 5.3636010820802538, 'n': 60, 'Einc': 13.500468651744926, 'Zinc': 60.652430085265337, 'Zeta': 3.8234970406603126, 'dec': 348.465539769445, 'inc': 25.52682229909027}\n" ] } ], "source": [ "print pmag.dobingham(DIblock)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'Zdec': 95.302931736371235, 'Edec': 209.55471133505026, 'Eta': 3.9475388648849692, 'n': 30, 'Einc': 58.145547650216855, 'Zinc': 14.317106237308186, 'Zeta': 6.9644465206638122, 'dec': 357.57284485451623, 'inc': 27.790698496492777}\n" ] } ], "source": [ "print pmag.dokent(NormBlock,len(NormBlock))" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'Zdec': 233.6497654593739, 'Edec': 97.779116509459982, 'Eta': 5.5585004286478936, 'n': 30, 'Einc': 47.390356077306656, 'Zinc': 33.434631439520047, 'Zeta': 6.2903798372165705, 'dec': 160.05924515863398, 'inc': -23.164679195327182}\n" ] } ], "source": [ "print pmag.dokent(RevBlock,len(RevBlock))" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r\n", " NAME\r\n", " eqarea_ell.py\r\n", "\r\n", " DESCRIPTION\r\n", " makes equal area projections from declination/inclination data\r\n", " and plot ellipses\r\n", "\r\n", " SYNTAX \r\n", " eqarea_ell.py -h [command line options]\r\n", " \r\n", " INPUT \r\n", " takes space delimited Dec/Inc data\r\n", " \r\n", " OPTIONS\r\n", " -h prints help message and quits\r\n", " -f FILE\r\n", " -fmt [svg,png,jpg] format for output plots\r\n", " -sav saves figures and quits\r\n", " -ell [F,K,B,Be,Bv] plot Fisher, Kent, Bingham, Bootstrap ellipses or Boostrap eigenvectors\r\n", " \r\n" ] } ], "source": [ "!eqarea_ell.py -h" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Be patient for bootstrap...\n", "mode 1\n", " Zdec 95.0\n", " Edec 208.7\n", " Eta 4.0\n", " n 1\n", " Einc 58.4\n", " Zinc 13.9\n", " Zeta 6.8\n", " dec 357.5\n", " inc 27.8\n", "mode 2\n", " Zdec 234.2\n", " Edec 98.6\n", " Eta 5.5\n", " n 1\n", " Einc 48.1\n", " Zinc 32.6\n", " Zeta 6.1\n", " dec 160.1\n", " inc -23.2\n", "1 saved in Chapter_12-ps12-3.dat_eq.png\n" ] } ], "source": [ "!eqarea_ell.py -sav -f Chapter_12/ps12-3.dat -fmt png -ell Be" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename=\"Chapter_12-ps12-3.dat_eq.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's the Bingham one:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Zdec 200.3\n", " Edec 85.0\n", " Eta 5.4\n", " n 60\n", " Einc 13.5\n", " Zinc 60.7\n", " Zeta 3.8\n", " dec 348.5\n", " inc 25.5\n", "1 saved in Chapter_12-ps12-3.dat_eq.png\n" ] } ], "source": [ "!eqarea_ell.py -sav -f Chapter_12/ps12-3.dat -fmt png -ell B" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename=\"Chapter_12-ps12-3.dat_eq.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now for the Kent ellipses. " ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mode 1\n", " Zdec 95.3\n", " Edec 209.6\n", " Eta 3.9\n", " n 30\n", " Einc 58.1\n", " Zinc 14.3\n", " Zeta 7.0\n", " dec 357.6\n", " inc 27.8\n", "mode 2\n", " Zdec 233.6\n", " Edec 97.8\n", " Eta 5.6\n", " n 30\n", " Einc 47.4\n", " Zinc 33.4\n", " Zeta 6.3\n", " dec 160.1\n", " inc -23.2\n", "1 saved in Chapter_12-ps12-3.dat_eq.png\n" ] } ], "source": [ "!eqarea_ell.py -sav -f Chapter_12/ps12-3.dat -fmt png -ell K" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename=\"Chapter_12-ps12-3.dat_eq.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Kent ellipses do a pretty good job - as well as the bootstrapped ones." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Problem 3c" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r\n", " NAME\r\n", " watsons_v.py\r\n", "\r\n", " DESCRIPTION\r\n", " calculates Watson's V statistic from input files\r\n", "\r\n", " INPUT FORMAT\r\n", " takes dec/inc as first two columns in two space delimited files\r\n", " \r\n", " SYNTAX\r\n", " watsons_v.py [command line options]\r\n", "\r\n", " OPTIONS\r\n", " -h prints help message and quits\r\n", " -f FILE (with optional second)\r\n", " -f2 FILE (second file) \r\n", " -ant, flip antipodal directions to opposite direction\r\n", " in first file if only one file or flip all in second, if two files \r\n", " -P (don't save or show plot)\r\n", " -sav save figure and quit silently\r\n", " -fmt [png,svg,eps,pdf,jpg] format for saved figure\r\n", "\r\n", " OUTPUT\r\n", " Watson's V and the Monte Carlo Critical Value Vc.\r\n", " in plot, V is solid and Vc is dashed.\r\n", "\r\n", " \r\n" ] } ], "source": [ "!watsons_v.py -h" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Watson's V, Vcrit: \n", " 23.3 6.1\n", "1 saved in WatsonsV_Chapter_12-ps12-3.dat.png\n" ] } ], "source": [ "!watsons_v.py -P -f Chapter_12/ps12-3.dat -ant -sav -fmt png" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ndY7jOI6rN7U+h85xHMdx3Jvn/wdGVdHbML+KAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 21, "metadata": { "image/png": { "width": 400 } }, "output_type": "execute_result" } ], "source": [ "Image(filename=\"watsonsV_Chapter_12-ps12-3.dat.png\",width=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We read in the data from the first file and asked watsonsV.py to split the data into the set of directions parallel to the principal direction and the other, flipped to their antipodes. These two are not drawn from the same distribution (according to watson's Vw criterion), so they fail the reversals test. Now let's try the program revtest.py" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\r\n", " NAME\r\n", " revtest.py\r\n", "\r\n", " DESCRIPTION\r\n", " calculates bootstrap statistics to test for antipodality\r\n", "\r\n", " INPUT FORMAT\r\n", " takes dec/inc as first two columns in space delimited file\r\n", " \r\n", " SYNTAX\r\n", " revtest.py [-h] [command line options]\r\n", " \r\n", " OPTION\r\n", " -h prints help message and quits\r\n", " -f FILE, sets input filename on command line\r\n", " -fmt [svg,png,jpg], sets format for image output\r\n", " -sav saves the figures silently and quits\r\n", " \r\n", "\r\n", " \r\n" ] } ], "source": [ "!revtest.py -h" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "doing first mode, be patient\n", "doing second mode, be patient\n", "2 saved in REV_Y.png\n", "1 saved in REV_X.png\n", "3 saved in REV_Z.png\n" ] } ], "source": [ "!revtest.py -sav -f Chapter_12/ps12-3.dat -fmt png" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename=\"REV_X.png\")" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDMPUPf8P3m7c5B67vo0AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename=\"REV_Y.png\")" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfQAAAH0CAYAAADL1t+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nfA2dMcYYY/rn/xU3iSGiLeGqAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename=\"REV_Z.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Y components are significantly different in the reverse mode (after flippint) with respect to the normal mode. Therefore, this data set fails the reversals test." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }