{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Lab session 3: Multiple Outputs, Low Rank GPs and likelihood\n", "approximation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gaussian Process Road Show, 13th February 2014\n", "written by Ricardo Andrade Pacheco, Neil Lawrence and James Hensman" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this lab we are going to build on yestereday's work by looking at multiple output Gaussian processes, considering low rank approximations to Gaussian processes and considering approaches to dealing with non-Gaussian likelihoods. You should try and get at least as far as **Exercise 5**." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "1 Getting started: Modelling Multiple Outputs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just as in the first lab, we firstly specify to include plots in the notebook and to import relevant libraries." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "import numpy as np\n", "import pylab as pb\n", "import GPy" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Running Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first think we will look at is a multiple output model. Our aim is to jointly model all *sprinting* events from olympics since 1896. Data is provided by Rogers & Girolami's \"First Course in Machine Learning\". Firstly, let's load in the data." ] }, { "cell_type": "code", "collapsed": false, "input": [ "GPy.util.datasets.authorize_download = lambda x: True # prevents requesting authorization for download.\n", "data = GPy.util.datasets.olympic_sprints()\n", "X = data['X']\n", "y = data['Y']\n", "print data['info'], data['details']" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Olympics sprint event winning for men and women to 2008. Data is from Rogers and Girolami's First Course in Machine Learning. Data from the textbook 'A First Course in Machine Learning'. Available from http://www.dcs.gla.ac.uk/~srogers/firstcourseml/.\n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "When using data sets it's good practice to cite the originators of the data, you can get information about the source of the data from `data['citation']`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print data['citation']" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "A First Course in Machine Learning. Simon Rogers and Mark Girolami: Chapman & Hall/CRC, ISBN-13: 978-1439824146\n" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data consists of all the male and female sprinting data for 100m, 200m and 400m since 1896 (six outputs in total). The ouput information can be found from: `data['output_info']`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print data['output_info']" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "{0: '100m Men', 1: '100m Women', 2: '200m Men', 3: '200m Women', 4: '400m Men', 5: '400m Women'}\n" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In GPy we deal with multiple output data in a particular way. We specify the output we are interested in for modelling as an additional *input*. So whilst for this data, normally, the only input would be the year of the event. We additionally have an input giving the index of the output we are modelling. This can be seen from examining `data['X']`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "print 'First column of X contains the olympic years.'\n", "print data['X'][:, 0]\n", "print 'Second column of X contains the event index.'\n", "print data['X'][:, 1]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "First column of X contains the olympic years.\n", "[ 1896. 1900. 1904. 1906. 1908. 1912. 1920. 1924. 1928. 1932.\n", " 1936. 1948. 1952. 1956. 1960. 1964. 1968. 1972. 1976. 1980.\n", " 1984. 1988. 1992. 1996. 2000. 2004. 2008. 1928. 1932. 1936.\n", " 1948. 1952. 1956. 1960. 1964. 1968. 1972. 1976. 1980. 1984.\n", " 1988. 1992. 1996. 2000. 2004. 2008. 1900. 1904. 1908. 1912.\n", " 1920. 1924. 1928. 1932. 1936. 1948. 1952. 1956. 1960. 1964.\n", " 1968. 1972. 1976. 1980. 1984. 1988. 1992. 1996. 2000. 2004.\n", " 2008. 1948. 1952. 1956. 1960. 1964. 1968. 1972. 1976. 1980.\n", " 1984. 1988. 1992. 1996. 2000. 2004. 2008. 1896. 1900. 1904.\n", " 1906. 1908. 1912. 1920. 1924. 1928. 1932. 1936. 1948. 1952.\n", " 1956. 1960. 1964. 1968. 1972. 1976. 1980. 1984. 1988. 1992.\n", " 1996. 2000. 2004. 2008. 1964. 1968. 1972. 1976. 1980. 1984.\n", " 1988. 1992. 1996. 2000. 2004. 2008.]\n", "Second column of X contains the event index.\n", "[ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1. 1. 1. 1. 1. 1. 1. 1.\n", " 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 2. 2. 2. 2. 2. 2. 2. 2.\n", " 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 3.\n", " 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 4. 4. 4.\n", " 4. 4. 4. 4. 4. 4. 4. 4. 4. 4. 4. 4. 4. 4. 4. 4. 4. 4.\n", " 4. 4. 4. 4. 4. 4. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5. 5.]\n" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's plot the data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "markers = ['bo', 'ro', 'bx', 'rx', 'bs', 'rs']\n", "for i in range(6):\n", " # extract the event \n", " x_event = X[np.nonzero(X[:, 1]==i), 0]\n", " y_event = y[np.nonzero(X[:, 1]==i), 0]\n", " pb.plot(x_event, y_event, markers[i])\n", "pb.title('Olympic Sprint Times')\n", "xlabel('year')\n", "ylabel('time/s')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAEZCAYAAAB8culNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncCAiIon/B4ji2hxjpz6fAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the plot above red is women's events, blue is men's. Squares are 400 m, crosses 200m and circles 100m. Not all events were run in all years, for example the women's 400 m only started in 1964." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will look at modelling the data using coregionalization approaches described in this morning's lecture. We introduced these approaches through the Kronecker product. To indicate we want to construct a covariance function of this type in GPy we've overloaded the `**` operator. Stricly speaking this operator means to the power of (like `^` in MATLAB). But for covariance functions we've used it to indicate a tensor product. The linear models of coregionalization we introduced in the lecture were all based on combining a matrix with a standard covariance function. We can think of the matrix as a particular type of covariance function, whose elements are referenced using the event indices. I.e. $k(0, 0)$ references the first row and column of the coregionalization matrix. $k(1, 0)$ references the second row and first column of the coregionalization matrix. Under this set up, we want to build a covariance where the first column from the features (the years) is passed to a covariance function, and the second column from the features (the event number) is passed to the coregionalisation matrix. Let's start by trying a intrinsic coregionalisation model (sometimes known as multitask Gaussian processes). Let's start by checking the help for the `coregionalize` covariance." ] }, { "cell_type": "code", "collapsed": false, "input": [ "GPy.kern.coregionalize?" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The coregionalize matrix, $\\mathbf{B}$, is itself is constructed from two other matrices, $\\mathbf{B} = \\mathbf{W}\\mathbf{W}^\\top + \\text{diag}(\\boldsymbol{\\kappa})$. This allows us to specify a low rank form for the coregionalization matrix. However, for our first example we want to specify that the matrix $\\mathbf{B}$ is not constrained to have a low rank form. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "kern = GPy.kern.rbf(1, lengthscale=80)**GPy.kern.coregionalize(output_dim=6, rank=5)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note here that the rank we specify is that of the $\\mathbf{W}\\mathbf{W}^\\top$ part. When this part is combined with the diagonal matrix from $\\mathbf{\\kappa}$ the matrix $\\mathbf{B}$ is totally general. This covariance function can now be used in a standard Gaussian process regression model. Let's build the model and optimize it." ] }, { "cell_type": "code", "collapsed": false, "input": [ "model = GPy.models.GPRegression(X, y, kern)\n", "model.optimize()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "creating /var/folders/22/6ls22g994bdfdpwx4f9gcmsw0000gn/T/scipy-neil-BS9WyJ/python27_intermediate/compiler_08f57918657bc3b6af9ef49d104a532a3e33b1f73c12f49d5749c389a40c0de4\n" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "Warning: adding jitter of 1.6318901306e+33\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "/Users/neil/SheffieldML/GPy/GPy/core/transformations.py:32: RuntimeWarning: overflow encountered in exp\n", " return np.where(x>lim_val, x, np.log(1. + np.exp(x)))\n" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the results using the ability to 'fix inputs' in the `model.plot()` function. We can specify that column 1 should be fixed to event number 2 by passing `fixed_inputs = [(1, 2)]` to the model. To plot the results for all events on the same figure we also specify `fignum=1` in the loop as below. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "for i in range(6):\n", " model.plot(fignum=1,fixed_inputs=[(1, i)])\n", "xlabel('years')\n", "ylabel('time/s')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEKCAYAAAD0Luk/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a lot we can do with this model. First of all, each of the races is a different length, so the series have a different mean. We can include another coregionalization term to deal with the mean. Below we do this and reduce the rank of the coregionalization matrix to 1." ] }, { "cell_type": "code", "collapsed": false, "input": [ "kern1 = GPy.kern.rbf(1, lengthscale=80)**GPy.kern.coregionalize(output_dim=6, rank=1)\n", "kern2 = GPy.kern.bias(1)**GPy.kern.coregionalize(output_dim=6, rank=1)\n", "kern = kern1 + kern2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "model = GPy.models.GPRegression(X, y, kern)\n", "model.optimize()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "for i in range(6):\n", " model.plot(fignum=1,fixed_inputs=[(1, i)])\n", "xlabel('years')\n", "ylabel('time/s')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEKCAYAAAD0Luk/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJPswUgQkEolkH+b/A2pGsqXKPi+MAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a simple form of the linear model of coregionalization. Note how confident the model is about what the women's 400 m performance would have been. You might feel that the model is being over confident in this region. Perhaps we are forcing too much sharing of information between the sprints. We could return to the intrinsic coregionalization model and force the two base covariance functions to share the same coregionalization matrix." ] }, { "cell_type": "code", "collapsed": false, "input": [ "kern1 = GPy.kern.rbf(1, lengthscale=80) + GPy.kern.bias(1)\n", "kern2 = GPy.kern.coregionalize(output_dim=6, rank=5)\n", "kern = kern1**kern2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "model = GPy.models.GPRegression(X, y, kern)\n", "model.optimize()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "for i in range(6):\n", " model.plot(fignum=1,fixed_inputs=[(1, i)])\n", "xlabel('years')\n", "ylabel('time/s')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEKCAYAAAD0Luk/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xec1PWB//HX9/udPrO9V7YAuyAdkaIIKnZsqDFGo4mm\nmbszuWhy+V2MOe+S80K83CV3icmloIlJjDU2sKCsFQFhYaUtsL33Mjv9W35/fJeBhaVuXz7Px4PH\nzO7MfOez7M73/f10yTAMA0EQBOGcJI91AQRBEISxI0JAEAThHCZCQBAE4RwmQkAQBOEcJkJAEATh\nHCZCQBAE4RxmGesCnImVK1fy7rvvjnUxBEEQJpQVK1ZQUlIy6GMTqibw7rvvYhjGGf/7wQ9+cFav\nG4t/oqznbjlFWc/tco5kWU928TyhQkAQBEEYXiIEBEEQzmHnRAisXLlyrItw2kRZh99EKSeIso6E\niVJOGJuySoZhTJi1gyRJYgIVVxAEYVw42bnznKgJCIIgCIMTISAIgnAOEyEgCIJwDhMhIAiCcA4T\nISAIgnAOEyEgCIJwDhMhIAiCcA4TISAIgnAOEyEgCIJwDhMhIAiCcA4TISAIgnAOEyEgCIJwDptw\nIfDJ/qaxLoIgCMKkMeFCoCeg8XzJfvzByFgXRRAEYcKbcEtJ767tRlV19le1MCsvkfMKUse6WIIg\nCOPapFtK2mKRmTUtg4bOIC9/cJCIqo91kQRBECakCRkCh2WlxZGTmcRzJeUcqu8c6+IIgiBMOBOy\nOWgwVQ1dWCWNVYvyUeQJnW2CIAjDatI1Bw0mPyuBxIRYnt1UTn1b71gXRxAEYUKYNDWBwwzDoLKu\nk1inwor5uUiSNEqlEwRBGJ/OiZrAYZIkUZibhM3h4Nl39tPe7R/rIgmCIIxbIxYC99xzD2lpacye\nPTv6Pa/Xyw033EBubi433ngjfX190cd+/vOfM23aNGbOnMkHH3ww5PePi3Ewc1oG7+6q5+M9DUM+\nniAIwmQ0YiHwxS9+kddff33A9x5//HFyc3M5ePAg2dnZ/OpXvwKgtbWVX/7yl7z99ts8/vjj3H//\n/cNSBkmSKC5II6xLPPPOPvr8oWE5riAIwmQxYiGwfPlyEhISBnxv69at3Hvvvdjtdu655x62bNkC\nwJYtW7jqqqvIzc1lxYoVGIaB1+sdtrIkxbspLkxn/ZZqdpQ3D9txBUEQJrpR7RPYtm0bxcXFABQX\nF7N161bADIEZM2ZEn1dUVBR9bLgossx5U9Pp9Km88G45wbA6rMcXBEGYiEY1BM5kINJIjerJSImh\nMDeVl94/yN6q9hF5D0EQhInCMppvtmjRIvbt28f8+fPZt28fixYtAmDx4sVs3Lgx+rz9+/dHHzvW\nL3766JHjLb2IC5YuP+NyWCwys6ZnUtfczaGGLq5eUojVMukGSgmCcI4qKSmhpKTktJ47ovMEqqur\nue666/j0008BWLt2LXV1daxdu5YHH3yQ/Px8HnzwQVpaWlixYgVvvvkmlZWVfOtb32LHjh3HF/Y0\n5gmcqVBEZX9FM4uKM5iWkzisxxYEQRgPxmSewO23386yZcs4cOAAOTk5rFu3jvvuu4/a2lqKiopo\naGjga1/7GgBpaWncd999XHrppXz961/nZz/72UgV6zh2q4W5xdkcaOjltY8OoWliMTpBEM4dk27G\n8FAEghEOVrey5LwM8jMTTv0CQRCECeBkNQERAoOobuhEQefyC8RidIIgTHzn1LIRwyEvK5HkpFie\neWc/NU09Y10cQRCEESNqAqdQVd+BVTbEEtWCIExYoiYwBPnZSdElqmtbRK1AEITJRdQEzkBFXTtO\ni8Rl5+chi1qBIAgThKgJDJPCnGRi4zw8s6mc+laxcY0gCBOfqAmcBcMwOFTXToxN4dLz88TGNYIg\njGuiJjDMJEliWm4K7hg3z7yzn8b24VvxVBAEYTSJmsAQGYbBodp2YhwKlyzMQxa1AkEQxhlRExhB\nkiQxbUoKbo9ZK6gTfQWCIEwgoiYwzCpq27FbEPMKBEEYNyZVTeDXf/2A5vbxe7VdmJscnVdQ3TS+\nA0sQBGHC1QTyrnkUWZJYOj+fm1bNpbggfayLdUJVDZ0ohs4VF+SjKBMubwVBmCQm1QJy9/zr87y3\n7RBq/5LPMwrSuenyuSyemzcum18CoQiHqttYWJzGtGyxX4EgCKNvUoXA7tpu2rv6eLVkNxve34PP\nHwYgIyWWGy6by6qlRTjs1jEu6fFqm7pRI2GuvKAAm1UZ6+IIgnAOmXQhcFggGOGtj/bx0jtltPSP\n1Y9x27l6+XmsvmQWiXHusSrqoMIRjfKqFubkJzOzIGWsiyMIwjli0obAYZqus7m0ihc37qK8qgUw\n9xFeuWgaN66aS15W0mgX9aQaWnrwB4JceUE+znFYaxEEYXKZ9CFwtH0Vzbzw1k4+3lXF4Z9s/swc\n1qyay7wZ2eNmiQdV1dlX1cKMnATmTksb6+IIgjCJnVMhcFhjaw8vvV3Gxs37CYVVwFwW+uYr5rF8\n4dRxM1qnpd1LV08fV15QgMdlG+viCIIwCZ2TIXCY1xdkw3t7eHnTp3T3BgBITYzhxlVzuOLCGeOi\nE1nTdcqr2shOdrF0VvZYF0cQhEnmnA6Bw8IRlU1bDvDCWztp6N8cJsZt59oVs7juktnExTiHs6hn\npas3QFNLF8vnZpOeFDPWxREEYZIQIXAUXTfYUlbNc2+URjuRbVaFy5cVc+OquWSkxA1HUc+auSBd\nBx67xCULx+fcB0EQJhYRAoMwDIO9Fc0890Yp2z6tAUCWJC5cUMDNV8xn6pSxHcLpD4SprGtnYVEa\nU8UkM0EQhkCEwCnUNHby4ls7Kdl6MDoTeU5RFjdfMY8FM3PGdETR4UlmV1xQgF1MMhME4SyIEDhN\n7V19vPxOGRve30sgGAHGx4iisKpxsLqNaZlxzC8av2slCYIwPokQOEN9/hCvv7+Xl94uo6vXD4yP\nEUWHh5OuOj+POI9jTMogCMLEI0LgLJ1sRNHqlbOIj3WNWlkO03SdA9VtpMY5WD53bJuqBEGYGEQI\nDNGJRhStWlrMTZePzYiiHm+A+pZuLihKJy8zftTfXxCEiUOEwDA5PKLo+TdL2Vo2PkYUVTV0YWgR\n0XEsCMIJjbsQ+M1vfsO6desIhUIsX76c//7v/8br9XLnnXdSWlrKggULeOqpp/B4PAMLO462l6xt\n7OSFjbso2XJgzEcUHe44LsiI5fzijFF7X0EQJoZxFQKdnZ0sXLiQ3bt343Q6Wb16Nd/4xjfYtWsX\ndXV1PPbYYzzwwAPk5eXx4IMPDizsOAqBw8wRRZ+y4f09A0YUrbl8HsvPL8SijN7VeVuXj/ZOLxfN\nzhQzjgVBiBpXeww7nU4Mw6Cnp4dAIIDf7yc+Pp6tW7dy7733Yrfbueeee9iyZctoF+2sJCd4uOfm\npTzx6Of5wk1LSIh1UVXfwX+ue5svP/RnXty4C38wPCplSUlwU1yQxpb9rbyxpQKtv4YiCIJwImPS\nHLRhwwZuuOEG7HY7999/Pz/60Y+YMmUK5eXlOBwO/H4/M2bMoKamZmBhx2FN4FiRiMamreaIovpm\ns6xup42rLz6P6y6ZTVL86Gx0EwhFqKhp47z8JGYVpI7KewqCMD6Nq+agtrY2Fi1axMaNG0lISODW\nW2/lW9/6Fl//+tc5cODAhA+Bw3TdYNvuGl54cyd7DjUBYFFkVi6ezppVc8nNHJ2lIBrbeunt9XPp\nwlwSxsEieYIgjL6ThYBllMvC1q1bWbJkCVOnTgXg1ltv5f3332fRokXs27eP+fPns2/fPhYtWjTo\n63/x00ej9xctvYgLli4flXKfKVmWWDwnj8Vz8iivauH5N3eyeWclGz/az8aP9rNo9hTWXD6PWdMy\nRrQTOTMllvQkD+/sqCfOpXDJgrxxs5eCIAgjo6SkhJKSktN67qjXBHp7e1mwYAFbt27F7XZz6623\n8o1vfIPt27dTV1fH2rVrefDBB8nPz58QHcNnorG1h79t3MXGzfsJRzQApk1J5eYr5rF0fv6Irxh6\neFG6mXmJzC4Uu5kJwrliXDUHATzxxBOsW7cOv9/PVVddxSOPPILP55tQQ0SHoscb4NWS3bxWspte\nXxCA9ORYblw1l1XLinDYRnZZiqZ2Lz09PlbMyyE5fvRnPQuCMLrGXQicrckSAocFwxHe/qicv729\ni6a2XgBi3Q6uXXkeq1eO7EY3hmFwsLYdl1XisoX5WCyiiUgQJisRAuOcputsLq3ihbd2cqC6FTCX\npbhsaRE3rZpHZurILUsRDEc4VNPGtKwEFogVSgVhUhIhMEEYhsGeQ008/+bO6EY3kgRL5+Wz5vJ5\nFBeM3Em6tdNHR5eXpedlkJUSO2LvIwjC6BMhMAHVNnby4sZdbNp6AFU1J33NnJrOjZfNZfHckdl2\n0jAMKus7kAydyxfl47CN+uAxQRBGwKQKgU8OtZ9TJ6fOHp+5LMV7e/AFzJnH6cmxXH/pbFYtK8bl\nsA37e0ZUjfKqVrKSXFw4RyxXLQgT3aQKgQ921tAbiBBWdVTVwGJRyM6In/TB4A+GeevD/by8qYyW\ndi8ALoeNKy+awXWXzCZ1BNYK6vUGqW3uZHZ+MjPzx3bPZUEQzt6kCoGji2sYBt19QfZWttHjN4Mh\nrOp4XHay0uKwTMJJUZqus2VXNS+9XRadiSzLEsvmFXDDqjnMGIF+g8a2Xrx9fpadJxamE4SJaNKG\nwGB0w6C5o4/9NR0EQhqhiIZuQHZGPB6nbVI1bRysaeVvG8v4YHsFmm72GxTlp3HjZXNYNr9gWGcG\nG4ZBRV0HMjqXLczD5RibLTYFQThz51QIDCYYVtlT2Uprd4BQRCes6cR5nGSmxCLLEz8U2rv6eLVk\nN6+/v5c+fwiAlEQP162czRUXzcDjsg/be6mqTnlVK6nxDpbPyxnxWc6CIAzdOR8Cx9J1g9qWHg7W\ndRKIaIQjOi7nxG9CCoYivPNxOS+9UxbdE9lpt7JqWTHXXzp7WLfB7POHqGnopCgngbnTxBIUgjCe\niRA4BcMwaO7wsbe6DV9IJawa2K0WcjMTJmQo6LrBJ7tr+NvbZZSVNwDmfIPFc/K5cdUczps6fIvW\ntXb20dHVx4JpqRRkJQzLMQVBGF4iBM5CW5efsspWAkGVoKpjs1qYMgFDobK+nZffLqNk28HofIP8\n7CRWr5zFigumDds6RbVNXQSDYZbNyiQt0XPqFwiCMGpECAyD9m4/uw614gtFCKuGOQIpNW7C9Cl0\n9fhZ/95uNry3l25vAACPy84VFxZzzYpZpCcPfZZwtPPY0Ll04RTczuGfwyAIwpkTITDMDMOgvrWX\n8toOAmGdYFgjOcFDcqIbeZyPPopEND7YUcErmz6NrlMkSXDB7Dyuu2Q2c4uzhtxUpGk6B2raiHGY\n+xfYrKO3z7IgCMcTITDCdMPgYF0n1U09BCMaYdUgMyWWuBjHuB6SWl7Vwqslu3l/+6FoU1F2ejyr\nV87m0iXThzwbORRWOVjbTlqCk+VzssVIIkEYIyIERpmq6eyubKWx3Uewf57ClMzEcTu2vqvXzxsf\n7GP9u3vo7PEB5mzky5YWsXrlLLLS4od0fK8vRE1jB/npcSyaMbI7qQmCcDwRAmMsEFIpPdBElzdM\nMKKhKAp5WYlYx9ka/qqmsbm0ildKPmXvoebo9xfMzOHalbM4f1bukK7mu3oDNLZ0My0rnvli2WpB\nGDUiBMaZzt4ApQdb8AdVQhGdGI+DrNTYcXWFXFnXzqsln1Ky9WB0K8yUBA9XLp/JFRcWkxjnPutj\nt3X5aO/wUpybwKzC1OEqsiAIJyBCYBzTDYPaph7215oT1yIRnfSUWJLGybaPvX1B3vpoH6+/vze6\n+5kiyyyem8c1F5/HnKKssx4h1dLRR2d3H7PykymekjScxRYE4SgiBCaQiKqxt6qd+jYvwYiOAeRl\nJeK0j21/gq4b7Npfz4b39/Dxrmp03fw9ZKbGcdXymaxaWkysx3FWx25s7aG3L8CcghSm5SQOZ7EF\nQUCEwITmD0bYcaCZLm+IYETDarGQl52AVRm7YZcd3T7e/HAfb3ywl/YusyPZalG4aGEhVy+fyYzC\n9LNq2qpr6cbnCzKvMJXCbDH7WBCGiwiBSUI3DNp7Auzs708Iazqxbgc56UMbvXO2NE3nkz21bHhv\nD9v31HL4VzMlM5GrLz6PSxZPw+0888Xr6pq78ftDzC5IFjUDQRgGIgQmKVXTqWnuobyuk2BYQ9UM\nMlJihtRpe7Za2nt544N9vPnhvuiMZLvNwkULCrn8wuKzWq+ovqWHPl+QmXlJzBB9BoJw1kQInCNC\nEY09lW00tPcRVnU03aAgOxHnCGxBeSIRVWPLrmrWv7ebsvLG6Pez0uK4fNkMLltSRELcmXV6N7V5\n6fb6KM5JYFaBGE0kCGdKhMA5yDAMvP4wpQdb6O4LEYpoWC0KBTlJWEapP6GxtYeNH+1n4+b9dPb4\nAXMXtAtmT+HyC2dw/nm5Z7TxTXO7l64eH1Mz45g7LW1cDakVhPFsSCHwwQcfMG/ePDweD6+++ipl\nZWV87WtfIzFx9NtqRQicPU03aO/xs/NgC76giqobxLjs5KTHj/jJVNN0tu+p5c0P97Pt05roLmiJ\ncS4uXVLE5cuKz2hWcnuXj9aOXjKS3CydlSWWoxCEUxhSCMyePZuysjKqq6u5/vrrueOOO9i2bRvP\nP//8iBT2ZEQIDB+zP6GX/bUdBMMamm6Y8xPOsKnmTHX1+nnn43Le/HBfdOMbgFnTMrh8WTHL5hfi\nPM3lNfp8IWqbukiIsXHx3FyxUJ0gnMCQQmD+/PmUlpby8MMPk5GRwX333cfChQvZvn37iBT2ZEQI\njJxQRGNvdTt1rb2EVQNdN8jPSsQ1QstBG4bB3opm3vpwH+9vryAUVgGzM3nZ/AIuW1LE7KLM07rK\nD4YjVNZ24HZYWD4nmxj38G2nKQiTwZBC4KabbmLWrFk8++yzbNmyBY/Hw7x58/j0009HpLAnI0Jg\ndBiGgS+oUnqgma6+EOGIjixLFOYkYbEM/9W2PxDmvU8O8c7H5eytOLJmUXKCm5UXTOeyJUXkZJx6\n3oCm6RysaceiwILpaeSkDn2PBEGYDIYUAj6fj2eeeYZ58+Yxf/58amtrKSkp4a677hqRwp6MCIGx\noesGXd4gpQdb8AXNTXVcDiu5GfHIw9we39TWwzsfH+CdLeW0tHuj3582JYVLlxRx8aKpxHmcJz2G\nYRhUN3YTCYfJT48VncjCOe+sQuDKK6/kqquu4uqrr6a4uHhEC3i6RAiMD5pu0NDmZU9VG8GwRkQz\nSEpwk54UM2zvcbi56O3N5XywvQJ/MAyY6xYtmp3LpUuKWDRrCtZT9AN0dPtp6eglMcbO8jk5ot9A\nOCedVQg0NTXx+uuv88Ybb1BeXs7ixYu5+uqrWbVqFW730CYj+Xw+vv71r7N582YsFgvr1q1j5syZ\n3HnnnZSWlrJgwQKeeuopPJ6Be9WKEBifVE3nQG0nVc09hFUzFHLS4s96LaFjhcIqW8qqeefjcnbs\nrYuuW+R22lg6v4AV509lTlHWSYebBsMRKmo7cNkULpiZQWrC6E+oE4SxMuR5ApqmsWXLFjZs2MA7\n77yDw+Hgyiuv5Dvf+c5ZFejBBx/E6XTyve99D4vFgs/n49e//jV1dXU89thjPPDAA+Tl5fHggw+e\n9g8ijB/hiEbZoVZau/0Ewxo6w7epTlePn5JtB9m05QCVde3R78fHOLlwQSErFk2luCD9hCub6oZB\nVX0nuqaRm+ph/vSzW+dIECaSYZ8s1tbWxptvvskdd9xxVgWaN28emzdvxuk80rZ7yy238NBDDzFv\n3jx27NjBo48+yrPPPjuwsCIEJqRASGXngWY6vUFCER3NgLyshCFvX1nX1MV7nxzivU8ODhhumpLo\nYfnCqaxYNJWCnOQTnuQ7e/w0t/US67Kw5Lws4oap5iII482QQqCqqoq1a9fy8ccfU1paSllZGS+/\n/DIPPfTQWRWmvr6eVatWsWTJEvbt28eaNWu4//77KS4upry8HIfDgd/vZ8aMGdTU1Jz2DyJMHP6Q\nyq4DzXR4g4Qjen9N4exDwTAMKuraeW/bId7/5BBtXX3Rx7LT4ll+vhkI2emDjzDSNJ2K+g5kwyAv\nI5Y5hamidiBMKkMKgbvvvpvbbruN733ve5SWlmIYBrNmzWLPnj1nVZhDhw4xffp0XnrpJVatWsVX\nv/pVLrvsMr7//e9z4MCBU4bANx/4p+gV28qVK1m5cuVZlUMYP/xH1RQOh0JuRgLus5ijoOsG+yqb\neW/bIT7YcYgebzD6WF5WIsvmF3DhgkJyMxIGPdF3dPtpae/F47SweGYmibEnH4kkCONRSUkJJSUl\n0a8feeSRsw+BpUuXsnnz5uikMU3TOP/88yktLT3rAs6YMYN9+/YBsGHDBv7whz8QDod56KGHmD9/\nPtu3b+fRRx/lueeeG1hYSeK1j6vwB0I4bRayUzzMKkg5o/VnhPEvEFLZdbCZjt7DzUcGuRkJeFxn\nNglM03R2lTfw3ieH2FxaiS8Qjj6WnRbPsvkFLFtQQOEgTUaaplNZ34Gh66TGO7lgZta42xNaEE4l\nHNF4t7SGKxYXnjAELKc6yEUXXRSdHRwKhXj88ce58sorh1SwadOmsWXLFhYtWsRrr73GqlWr6Ojo\n4Pe//z1r167l97//PUuWLBn0tVMyzSq9YRh09wZ48f2D2Kwy8W47C4sycDvHdgcuYeicdgtLZmVH\nvw6GVHYebKa6vpdQ2AyFnPSEU84MVhSZBTNzWDAzh7/73MWUlTfw4Y4KPt5ZTX1LN8+8voNnXt9B\nWnIMF84vYNn8AqbnpSHLEooiM21KCgC+QJi/fXAQh1WhMCueGVOSRHORMK4FQhFKdtTiDUSYmpdy\n0ueesibQ0NDAww8/zPr165FlmWuuuYZHHnmEzMzMsy7ggQMHuOuuuwgGg6xatYpHHnkEXddPa4jo\n7truQY8ZDEeobuhEliScNpkZecnkjrPN24XhEQyplFW00N4TJBjp30chNY6EGMdp/b41TWf3wUY+\nKq3ko9Iqunr90ceSE9wsnpPHBXPymDM9a8A8BMMwaOv00d7Vh9uhMG9aGpnJwzc3QhCGqscX4r2d\ntQTCGtPz0qK111m58UMfHaSqKrquY7ON3tr0xzpZCBxNNwwaWnrp8wdxWGTi3DYWiFrCpBVRNfbV\ntNPQ1kcoohNWdRLjXKQnx5wyFDRdZ39lCx/tqOSj0soBncpOu5X5M3NYPDeP82flDpiprBsGdU1d\nBENh3HYL86eni7kHwpipbupm16E2NAOmTkk+bs2tIYWA1+vlzTffZPPmzYRCIfNFksTPf/7zYSr+\n6ZMkiR/+/l0KcpIpyEk+7TbiQDhCbUMXEgZ2m0JuiocZeaIvYbLSdIPKhk4qGnoIqRphVcfltJOT\nFnfS37lhGBysaWNrWTVbyqqpqu+IPiZLEsWFaSyek8fiOXkDRhppmk5tczfhsBkIC4sySI4f2dVY\nBcEwDHaUN1PT0ovTefJl4YcUArfffjtOp5OlS5dis9kwDANJkrj77ruH/lOcIUmSyLvm0ejXackx\nFOYkU5CT0n+bTGKc66RXf4ZhmOPD273YLRIOm0JRbiK56fHIouloUtJ1g6YOL3uq2glGNMIRHYtF\nYUpWIraTLIjX2uFlS1k1Wz+t4dPyBlRNjz6WmRrHollTWHBeDrOmZWK3md1rmqZT1diFpkZw2y3M\nLkwVTUbCsAqEInywq45uX4T0lFgST2P59yGFwJw5cygrKzu70g4zSZL42qMvUVHbTk1jB+GIdtxz\n4mOc0ZrC4WDISIk78QxS3aCxrZfevgB2q4zTqjA9J5Hc9Lhh6U8oLCxk37590Wa0cDjMjBkzqKio\nGPKxhbNjGAad3iBlh1rxBcKEVAMDibzMhBPuZeAPhNmxt44tZdVs+7SGPn8o+pjNqjB7eqbZCX1e\nLtlp5hWZbhjUNnURDIRx2izkZ8ZRNCVJXGwIZ+VATQfl9V2EVJ3CnOQzWgdrSCHw+OOP09nZye23\n3058/JHdn8ZqZ7HDfQKaplPX3EVlXTsVde1U1rVTWd+Ozx8+7nVOh5X87CQKc1Ki4ZCTkYB1kKvA\no0PB1h8KU9LjmJqVcMbNR4WFhVRWViJJEsGgOV7d4XBgGAYFBQUiCMaRvkCYskMtdPeFCYY1VN0g\nMy2OeM/xnc2aprOvspkde+rYvreWitr2AY+nJsaw4LwcFp6Xy9yiLFxOW7RTua2rD4dVJinGzsIZ\nmThspxygJ5zDfIEwH+1uoNcfJj7WTVqS57QvTjVNp7yqhU9217L2/ivPPgSefPJJ7rvvPhISEqJX\ns5IkUVlZeYY/ztCdqmPYMAxaOrxmIBwVDh3dvuOea1FkpmQmDqg15GUnHTdrVTcM2jr66OjxYbPI\nWBWZxBg7swvTTtnRHA6Hoyf9w7+4w/eDweCQOtlFDWNkhSMa+6rbaezo72zWdGJcDrJSY4+7GOjq\n9VO6t47te+oo3VtHr+/IBDVFlinKT2VOURZzirIoLkjDZrXgD0aoaexElsBls1CQEcfU3ERRSxDQ\nNJ3Sg800tvtQdSjIST7tOSrtXX3s2FvH9j217NxfH70orl7//84+BAoKCti0aRNTpkw5wx9l+J3u\n6KBjdff6qazviAZDRW0bja09gz43LTmG/KwkpmQl9d8mkplypEPRMAwCQZWapk4kwGaRsFsVctNi\nmZqdiOWYE8TRQXD4ZxiOABA1jNGl6wb1bb2U13YQDOuEVB1ZksjNTMBpP3IxoOk6FbXt7Nhbx449\nteyvbEE/6iNmtSjMKExjTlE2c6ZnMj0/FUWWae300d7Zh8Mm43JYmJmXTMYZXPUJE5tuGOyvbqey\nsYdARCP7NFfhDUdU9hxsYvveOnbsraW2sWvA4xkpcZw/K5f/+fbqsw+BK664gqeeeorU1NQz+JFG\nhiRJlFZ2oMjyCdv4T5c/GKa6vuNIU1JdOzVNnaiqftxzbVaFnIyE48IhIdbskNF1g/ZuH+1dPiyK\nhM0i47AlAVy/AAAgAElEQVQq5KbHkpXkwuN2DWsIjGQNQzh9vf4wuw400+s3+xVUVYt21B3+vfT5\nQ+w52EhZeSO7yhuobugYcAyH3cLMwgzmFGUxe3pmdMG7+pZuAsEINovE3919Mx++X0JOurnUxWC1\nPlEznHh0w2BvZRs1zb34IxrJCR5SEz0nfY2m6RyqbaOsvIGyA43sPdhEKKJGH3farcwpymLheTks\nmJlLeoq5u96Q+gRuu+023nvvPVatWhXtExjLIaLv7qgmrOpouoFmmHvhajqouo6hgwFYLTJxMU7i\nY5xYLPJpV7FVTaOxpYeqhg5qGjqpauiguqGDts6+QZ8fH+NkSlYieVlJ5PWHQ3ZGPA6b1bxybO7k\n2gtnYGhhZMX8cOpaeNiD4PD/jQiAsRVRNQ7UdVLb0ktY1YmoBna7hdyMhGgNsacvwKfljXx6oIFd\n5Q3UNw+s2dqsCtPzUplRmM7Mwgy+//U11NdUIFud/Om1bdisMp+56gK0UB/5+flUVlaKmuEEEo5o\n7ChvorUnSDCskZ4cc9IRjZquU1XX0X/Sb2DPoSYCwciA5xTkJEdnxs8oTB+0r3NIIfDEE08c/6Ix\nHCJ6qrltqqbTFwjT0umjrdNHIKKiamZYqLphhocOEgZul4OkBDdOm+WkNYs+f4iaxk5qGjoGBMSx\nvwyzjJCaFENOegLvPvdftFV+gqzYeHdnJU6HlUXTMzAMnYzcIh7/0ytYLTJ2i0xuehx56XGD/gIH\nI0Jg/NMNg9YuH3sq2/GHVCKqueRFRkoc8f2zmzt7fOYHvLyRvRVNx4WCYRi073oGX+NOrJ5U9HAf\nWtiPpFj404adOB02MDRuuWIRWqjvpDVDUVsYfYZhUNvSQ3ltJ/6QueFSbkb8Cec4BcMRDtW0sb+y\nhb0VTew51HTcYJfM1LhozXHO9CwSRnqI6HgyXEtJG4aBqum0dfmob/Pi9UeIqBpaf1CouoGhG8iK\nQmqCmxiPA0WWBqS1Odqjrz8UOqhq6KS6voPG1h40/UiTUteht4kruARZlkmMc5OVGsvHr/wv3/7X\nn5GbkUBOegJul522zj46e/3IkoRVkfrDQSE51sHU3CRcdkv0/UVz0MQVjpizm5s7fAQjGhHVQFFk\ncjPNGmRPX4D9Fc3srWhmX0UzB2paiUQ0Ove9irf6IwBichdz8Y1foyg/nel5qUzPS8VpV7hw7lT0\niLkEhmKP4bVNn1CUl0JOahzTp08TtYVRYBgGje1e9lZ3EAirhMI6MR4nWamxg15otnX2sa/S/F3v\nr2yhsq59wPkDzH7KOdOzoif+5ISTNxkN5qxC4NZbb+XZZ59l9uzZx79IksZk7sBo7iegGwa+QIS6\nlh7auv0EIzqaphPR9CMhISukJLqJi3Gi9P+CVU2jqbWX2qZO6pq7qWvqpLapi4aW7kHnNQDEehzk\npCeQk5FAZkocWWlxZKbGk5oYQyAUobnDi6EbWBQzIL5yx2oaq8uRZAWv14vVomC3m1cWhz/Q4ipv\nYjAMgx6fOTzVGwgTUQ0imkGMy05maqy5NHZFI1+49SrCPQ0AxOQtI3HG6gEXJTFuOxXv/QZ/i7k6\nr2J18f6ug/QFdLp6+jB0nTuuXYIW8qLY3OhqEEPXxIXDEIXCKnur22nt8hNUzYmIbqedrLS44waJ\ndPX4OVTbFh2ccrCmlfaugSMXZUkiLzuJ4vw0igvSmDUtk9Rh2Lv7rEKgqamJjIwMPvOZz/CTn/xk\nwAG+853v8Mwzzwy5YGdqPG0qo+sGvmCE2qZuWnv8hCM6qq6jqv39E4ZBfKyb5AQXFkU2mwY6vNQ1\ndVHb1EV9s3lb19RF457Xo7UF89g6PZWbSJq2ipQkD1mp8WSmxpGVZt5mpsRx900X839/fRt/SOUb\nd19PU+0BQObl9/Zgs8hcfdF5GLoabTceLqJJYeRpukF9ay8H6zro84e45crFaCEvkmIDPYJhGFhc\niXzz0T9RWddBeVULtdufx1v9ETF5ywDM+7lLuODqeynMTSY/O5ms1Fi+sPp8dM1sxlTsHv68fgtu\npw1FMmfP56bFkZUSi912+hORJqpT/S0f/bhhGLR1eTn/ggv53V9eJhTRCEV0dN0gMzWOuKMWL9R1\ng9ZOL1X1HVQcddLv7PEfVwa3y0ZxfjrFBWnMKDRrdkPdcW8wQ2oOOryPwNEWLFjAjh07hq+Ep2k8\nhcCphCMa9a091Ld6CfRPPlI13eyfMMDjspOa6OGGSxfSUFeDbLHzyK9fp7G1h9/82z2o/k7ipq0i\nYdplA5qUoD8kKjYxe/nNZKbGkZLg5lff/xxa2IekWEHXMAwdSbHy1IYdOOw2LLKEYpGxKRJ2i0JG\nkofstDgcNuW0hyGKDsjRd/T/+acHG6lp6eH6Sxehhbxk5M/id0+/wr23rKSprgarO5l/+OGT1DR2\n8sZf/pu++u2kLvoCrpQioH+m9FHNSo7kqXznR78iLyuZrLR4vrBmJb999m38QRUJMDSNb37lNv7v\nqRexKTIOm8Iday5nT9lOXC4H8iAjlYbjImE0jnGyv+XcwmJ0rNRXfIpij+Hp9R8T0Qw+v/oCtLCf\n7JwpvP7hLjRdp6XdG63tH76oq2vuIhRWjyuTy2GjMDeZwlxzmZupuSlkpcUPaaSjphuEVY3Obj+9\nfQEMA2QZLJKEokjmsuiSxFVLTryfwAlD4PHHH+eXv/wlFRUVFBYWRr/f29vLbbfdxtq1a8+64Gdr\nIoXAyURUjfZuP5UN3fT4/Fx38Rz0/hFEBmBoYSRJZvOeetZctZLG2gMoNg9f/P6TNLb28Na67xLp\nayVu+ioSpl4GmMHQ9OH/EvE2AWD1pHHJXT8iKy2BtKQY0pNjSU+JJTUxhtgYJ73eIB09PgwDFBkU\nWcKiyFhkc4hrUqyT7LRY4vr7Q0D0RYyVE53Qyg8cpLHdy8G6Lu7+7PX89NdPg6LgsFpISXTxmauX\n85PfvUJ1QweHalp4+vF/xddUNrC20N+0FGg/QOu2J3BnzefK279FamIMv//x3xHuaSCrYBZ/feUt\nbr1qKU111Sh2D394ZTOKLHPHtYvRQn1kFc5Ggv4Tp4ePPtlDQqyTovwMDF0bUCM92Ql6OC40jj2G\nrhu4XM7+E/xM/vjsevyhMKtXLkAL9aHYzTZ2LdSHYvPwyvtlJMU5WTIjE8MwUKxOJIsDNdCFPSGP\nG7/677R09NHQ0k1EHbyJNyHWRV5WIoW5KUzNTaEwN5m0pMH7BQZjGOYgFn8gTEe3j0BIRZbMz6ki\nmyd4RTI/q067hcwkc3ip/QQXdWe1vWRPTw9dXV1897vf5cc//nH0AGlpaQM2iB9NkyUEjnX8SB+Z\n90sr8Id1/MEway6Zaw4tVWyAgaFFkCSZZzftob3LT3N7Lw3Nnax79Muo/k4ArDEZZFz499Haw9G1\nCYtFJinOxaGPnubGux8gJdFDcoKHlEQPqYkxJMS5+68ufIQjGjIgK+Yfn66p3HypWR4ASVbo7fXi\ndp3eWv4gmpRGkm4YdPYGKa9uwxuIENEMwqrOP3zxZpqqdiNJMm9sraChpZuvfu4awr1NpM+5nszz\nLuPg5r8e36R0VP+Dw26hbsuf8DXuxJE8FUMLE+qqxepO4okXN5EQ6+LaZUVmX4OsIMkKuhpGsXv4\n4yubsdls0XIodg9Pb9iCLEnRIa9ZhbP55bpnWHP5ouNPznYPf3v7E6wWc2Lel+64kV+sewaL1Yph\nQCQS5u/vuY1fPvkC4XCEz159wXHHkK1O3tq6n4Q4D4ok0ev1sXLhdLRIAABbbBZf+d7jdHuDdHT7\naOv0Uv7h03hr+jvkB+mLSUnwkJNh9uflZiSQm5FITnoCnpNseKQbBpGITo83QFdvAFXXUCTJrK0r\nEoosY1HAZlFI8NjJSo0l/qh+x7MxpD2Gx5NzJwQGXlkf97hi4bX3dmPIFlTNIBgK89kr5ps1CFkB\nw+yTkC12/mPdRn7y8Ddoq9qBxZXMzGv/mW5vIFprOLo2cTSPy35UMBwJiTiPnbuuWYihm9VdSbbw\np9dLUaw2FBn+4a7r+cWTL+Kw28w/Wl3j3tuvY/PHW0hJ8DCjeBpVVVWiSWmUabpB4dTp/PbpDUR0\nCVUz8AdC/ONXPsv/PvECacmxGIbKygXFaGFzXowjMZ/V9/4b7d0+Wtq9BEKR45qUjj0xGoZB556X\n8NZuAcCVPotr7/p/xMU4cbvsOGwK//W9LxLubcLqSQFdJ+LvwOKM5w8vv4/b6QB01lwyL3pylq0O\nXnt/D1abFQm46+YraKjaj2Lz8Kf1HxNRNb540wrUQDeZ0y/gWz/4b7y+AP/xnS8S6q4FwJlSxKW3\nf5c+f5jeviC9fUFUTTv1z7L31WgIOJKn8q1Hfkl2RiLpybFkp8XjOmYfbF03CIQitHf56AuEkehv\nnum/grfIEhZFwm61kJ7oJjM1FqfdMuLLhYgQGMdOp4nlVCFxdPV3b1Uzdc29XHXheehamIwpRfzn\nb5/njqsW9DczKYCBYejIFjuP/v4tur1B2jr7aO3so72rj7bOvkGruUc3OVljMgCdiLcFiyuRO779\nK9b/4ce0VW1Htjp56rWtxMc4uXbZNAzDICO3kJ89uZ5IOMznr1kYbf4Covdf/3A3ifEeMpI8JMWZ\nHepDufoZD8Z7rUfXDfoCYQ7Vd9Lc0cv1l56PFjJDQLF7+MOrH5OSGEtinJNwWKWhuYvbV18UrXE6\nkgq47t5/o6cvSFevn84eH62fvnzCEysc3zcx6Mn3NB8/Ua3lTMLKlTEbQw0TaCvHFpfFT379HInx\nLu6+bgl6JDDwc6nY+MsbpUiKgoKEdFRTqiKB1argcVjJSYslOc51RpNVR5IIgXHsVG2g+/btO612\n+FOdbALBEO7+dlEAWbHx3Ns7kRWzNqEZBjIS8XFOEmNdBIJh2rt8tHZ6o8Hwx//9V9orP8bqSSX7\n4m+i6caAGkVcwSXHhAT999NYfMsPSEmMIT7WRYzLxi++d3v0ilNSbLy+eR8J8TFousGaK5bx2G9f\nwmo1r/x0TeWb96zh139+tb+jC750+7Wse/oV3E4HqQluYt1Wlpw/l0MVFcP2oRvqCXwidaSf7GJk\nT0UTrd1BvL4gN646f9Cmmufe2k58rJNL508xa6FWB5JkQQv3YXUn8aNf/Y1gSMMXCNHt9fPkT79N\nsP0QAK60mVxy27dRNYNQOMK29b/C11CKJ2shAH0N2/FkLaR45d1IktlcoigSO9/4P3yNO81jpJ/H\nFZ/7JzwuBzarzJ9/9m2CnVXY4rJA1wh7m7E44/nrhs0kJcRw53XLqa81a6RvfVJNV6+fz15lNkNl\n5M8CiDZbPf/WJ9gUiesuXYgW6iMvv5CDBw8cNwR0PBMhMM6NdEfZ4WOerDah6wahiEZDu5eG1l6C\n/UNedd1A08zp64YB/3D3dfzumQ2kJsUSDEZo7ejh779wM99+9Hd09vhp7ejh9z+8FzVgLmRljUkn\n48J/iPZNmO91TCf2Uf0X3QffovvgO1hcSdz09z8jLsbJuh9+AS3kJS1vFv/1m7/ywL030VR7AEmS\n+GB3A15fkKuXFmFoEdJzp/O/f3gFqb8TTZaOjJCQJHP1WJsi4XBYSIp1kRjnxO2woigDr9hO9//9\nZL+7idSRfjo/78meMyV/GoZspbZiL4rdwwtvfYJuGNGZzJn5s/n5uueIRCLcuXrJIO31Ll58Zyf3\n3bmaxpoDSIqFTTvMk/TKeVMwdI3M3AKe2fARhmEQDIa4YvF0jP6+KcXu4clXPsZqtfDNe26JnsCf\nevVjFFnm9muO9Dv831MvIgNfvvMm1v35BdKTY0lL9OC0ycyZNfO0OrAnGhECE9xQ/xiH62Sk6QaB\nsEpTWy9NHT5CEZVI/5IcmmbOtA6Fw9x59cLoh1OSJDZur8IXVOns9tHa0cv/u/dqtHAfijMeSZJR\n/Z2D1i4G1iaOBMXAZql0MHQifa1YXEnc8o3/ISHOTazbQYzbQYzHQYzLTozHQazbgdtpx+m0oqoG\nvb4gPl+IiKqiAzKS2QGORDhi9rMc6ZAnugbUpq37SEuK5YpLllBbVYEkSfgDAWRJOu7EOZGW9zid\nv7MzGVt/oscPB4m3z4+m68THxWLoGlPyp1PywRZWLF/Ki69tBEnGAMKhMJ9dcw0vvrYRRZHRIhEW\nzZ2OHgkgK1YMQ49OfPP2+XE47EybWsj+/fsnxQn8TBiGQSCsUd3YRXOnr3/PbY0bl08XIXAuG61m\niYFhI4MsY2gqkmLjb5vKUCwKX759NU015ciKjT+u344BfP7q+Ri6SmbOFJ5/YwvtXb3csGIWunr4\nKi+GL//gD/T5I3R7/fT2Benu9bPv9bVEvM3A8aOhTkaSwO20E+N24HHZ8LjsuJ123C4bbqcdT/+t\nzSrzwOcvRVfN/zNJVnhvVw02mw1/MEJXTx83XzLLHK11TFD89a1S7HYbWiTCmsvmHQlFxcYbH+7G\n7XQQ67ET57Zz8dIF7N69B4fDjixBJBIZ9rH3w3mcoTqXmtlGgm4YBEIq1U3dtHb6CKkaqmZE/0my\nRHKCm8RYV3RIqlg7SBiVE8CZNqEoFqu5hlNnL0uXLOGpF94gopqjVm46ahiqrNh4av12rDYbOmC3\nKrgcClcuKjhqxJSN3/7tY4JhDa8vhNdnjgDx+oLRr72+oHn1P8juc4M5UbOVzWbB0x8aDpuFd//4\n3WhHqWKP5Z9++hyxMS6sFolv33UZuho054AYOoauIkkyH+6uQ9UlbrtmOU11FUiKjT9t2IEB3Hm1\n2YmfkWtO8mqqLUdSbLz4zi4kCW68ZC6GFiYrr5g/vbABCQmnw0Ksy05Mf6g5bJb+Ji7zc3O6zT0j\nXRMYLuMl0Iabua6ZQXdfkJqmbnr9YSKqfmSyqW7WvJFkUhPdJMS6TmvwhAgBYdSMZNOVzx9AkhU6\ne3xkpyebJ1TF1t95bF6BP7vR7OzWDCO6tLhhGFgtCm6XjVi3A6tFJhiO0OcL4QuE6fObtz7/ka97\nvX5+/yOzb8PiMtf4j/jajuvjOFn/Rteht+k5sDH6PeBIR/q0VWTPuRq7TaHs5R+h+tqwuBLBMFAD\nXSiOWP7xP57G5bDxw/uvRw/7kS3m8EldDSPJFt7adgiP24nNamH1yoWse3ETui4RDEbwB4M88KWb\n+Z8nXzbLrqp87sr+YcRH1VokxcaLm3bx9btuNNejUmy89t6nWBSJqy6cha6Fyc4r4s1N73PVpcuo\nrToUbXaRJKJ7ZRQUFAAMuR9luIyXQNMN86TtD0bo6g3Q3hugzx9GVXXU/glhmmag66AaOnr/Csd2\nu5WUxBhcDuuwjJATISBMGEPtoDy2OUDvXz788Iewo9dPXyCMqvYvLW6YiwEagGaAoZsf3L/7/Gqa\naw8gKTb+/PoO3E47NywvwjB0snLy+MtrH9Ld6+PGFeaJUrY6kSQJLexHscdy78NPEI7ovPrH/+SC\na75MKKLhD0Tw+YPU7HyNhGmrjirjiYPkdB7vOvg2PQc3YvWkMe/G7+G0W/noL99H9beTXLiU1Z9/\nAIfdikWRePz7d6CFvADIVhc///MmYjxOFBk+f81Cs2lLVsAwhxFLksS7ZXUYyHi9fq67qDgavnAk\nSP70+g4kSTph0Dz/9k5sNitfuX01jTVm2LxUUgYS3LBiTn/NpognntnAFz5zDeuefhmbzYqMGWB3\n37aaZ19+y1xE0apw3RUrWP9mCS6nA0WR0TWVlcsXs217GRcsnENNVQWSJFPXZG7ik5ORhGHo5OUX\nsnV7GYuOek51QxsRVWNanjm7OSd/OoYB9dUHkBUbb23ei24YXLnMHHadlVfE7/66AV3XMQAMMDCX\ng9H7/3706EWI+bdlVRTcThsxHgdOu+W4gQhnQ9N1gqEIgWAEfyBM4PD9YJhAMGxe2PRf1PzsgWtF\nCAgTx3BcxQ2HgoICPt29F82Q6fUFaWrvYc3qK3jimQ3ohs4XPnNN9Or5+bd3oukGn7l8fn9TznR+\n/uTLGAYgScgSOJ02PE47LpcVWZIIhiKEQirdvT5uuXTOkeYvm4vv/8/LhFVz4pG3z8+Tj345OuLK\n4k5m7g3fJxLRCYYjBEORU3amw9mFTc7F9+Ow27DZFOxWC4oisfXZH6D62s2yuBK45Ru/wOW0Y7Na\nkCX49Q/ujAaNYnPz77/dgMvpwG6zADpfu/lCdDU0cJkUxcKrH+zjS7ddRVOteXIu2VWDRZG5aFY2\nhmGQmTOFF97axprLF9NYV4UkKaz/+CCapkfDKSN3Kr/442vcfIm5gKIkWwCi91/YZE46i4QjrBnw\nHKO/c1lh445KLLLMinm5MEiN9JMDzdFVe4+l6bp5la9pZvON2r/6sKqhaWYnbSisEg6rhMIqoUj/\nbf+/cOT4+8GQSiAUPuoEb94GQ8evT3QiQ9pjeDwRISCMNycLo8NNAboBoYiG1xek2xukuy9EKKyi\n9l/J3bhyznGT5w5PSjJg8Ktr2cL6jw+QEOvGYpHx+4KsmJ+HoZuT/GTFxm9e3IyqQzCs0ucL8PBX\nV5ujsuyxIElowR4szgSu/up/oaoGvkCQzU//gIivFRi8s32otZZTPef4CYlER4HlXfKP2GwWZGD/\n6z8m0teK1ZMKBkR8rVjdKSy69V+wWBQM3WDzX79/VFglc8ldj2K1mvtyGJjbgb7zxHdR/f3PcSez\n/HM/QpbNUUmqqvLR00eOYXWncP4tP8AwpP5l5c0Tu3nSN0/8o316ctqtOB02XA7z1umw4uq/dTtt\nuF123A4bD39p5QnPnZbRLbIgTC7H1jxsNlv0e7JkDjkFsFlkYpxWMpMHrg1fWFgY3XI04Devnh0O\nB4YW5p+/ch1weEFBiT5vD5puEBfjxtBVvvqZK3hhw7v09YYJhiIgKYAZAgaQGOuMrq3z1c+ZASAp\nNv746kdgwB1XL0ANdLHthX/nsd88z+evWTCgOSjibaLujYfYVFoDkow/EOzfLjWCbLEBEhFvE/Vv\n/5Afr3uLcETl4a9eixb2odhjoo83lPyEzz7wKzQdIqpKKByh8b0jnfOGHiErLQ7dAFXVibvq2+x/\nfe1xIRFRdSL9I8YyLvrGoEHS2NoLmEEjydboe0iKlfLq1uPCSFKOeo5spaKufUCgHX0MZAsNLT0n\nHYFmzkVRsFhkc0FGRTFvLTKKImOzWrBbLWbNymbBbrNitx6+bzEfH+S+65gTvMthw2G3nvaCdA+f\n5DFRExCEMTbUDsrTnQdy7HGCoRAzZ8yg/MAhpk+fSnVVFZIss/tQI33+MEvnFqJrEbLyinnimfXc\n/Zmro81fL27ahaEb0eGvx45kOrYWk547nZ8/+QqRyJF5JAMWRJQtrN9cjsvlRDJ0VszNGTC34sM9\nDSiyxWxu0TQCwRBXLZ4+YA2rl97bi8ViIRQOs+aS2dGhu0cPHPjD+k9QFAuqGuHuaxcNunzJ02+V\nIksSt66a238MMwgO33/1g704HY7+E/3Ak7xyGkOUx4LoGBaESWy4xs2P5Iiag4cOYRgwbWphdAHB\nrt4+IhGd1KQ4DEMnN38qf1u/iYWzCszaxjHNY+s/2I1VsRCORLj24tnRORlH+hXMzuav3XlDtPP5\nhXd2IQE3XWoOq82cUsT//eXV6HyVw/05ADcfDrQp/YHW//izG0uRkLhl1ZHAe/xPryJJmM0/Bpgb\nMBy57e8yjjJHqR15WrTdyOj/ur8D2cDsP5Ilczvbw8N8ZUlG7r9vtSrYrAo2mwWLLCP3b30rYdZE\nBlvNd1yGgKZpnH/++WRnZ/PKK6/g9Xq58847KS0tZcGCBTz11FN4PAP30hQhIAiDm0jj5oe6TMpk\nm/MAZs3N6A8ETdPRdL1/Fr7ZsaxqBppmbk4VCqkEQirBiEoorJkjkQyjf3SbeUv/8XTM29XLpo6/\nEPjpT3/K9u3b8Xq9vPzyy6xdu5a6ujoee+wxHnjgAfLy8njwwQcHFlaEgCBMeuNldNhkcrJz55g0\nYNXX17N+/Xq+9KUvRQu2detW7r33Xux2O/fccw9btmwZi6IJgjDGKioqBqytdHRn+5k8Rzg9YxIC\n//iP/8hPfvKTAb3s27Zto7i4GIDi4mK2bt06FkUTBEE4p4z6ENFXX32V1NRU5s+fT0lJSfT7p9vM\n8y//8i/R+ytXrmTlypXDW0BBEIQJrqSkZMD59WRGvU/gn//5n/njH/+IxWIhGAzS29vLmjVr8Pv9\nPPTQQ8yfP5/t27fz6KOP8txzzw0srGRO0jjdsbGCIAjCON5P4N133+Wxxx7jlVdeiXYMr127lgcf\nfJD8/PxBO4af2VSOVZGwW2USYxzMLkzF5bCe4B0EQRCEk4XAmM8YPjym9b777uPOO++kqKiIBQsW\n8OMf/3jQ588sTAPM5iN/MMKGrVVggM0i4bJbKciMY0pG/LjY11MQBGG8m3CTxXbXdp/wcU03aOno\no6vXh90iY7PIxLltzJmahsc5/nZyEgRBGA3jtjnoTJ0qBAbjD0aob+lG13RsFgm7VSE3LY6p2QkT\naqNoQRCEs3VOh8CxdMOgvctHW5cPqyJhs8o4rApFOYlkpsSIZiRBECYdEQKnoGo6ja299PlD2CwS\nVouM225hZl4KyfHOQdfiEARBmCgmVQiUVnZgtSgj/l7hiEZ9czehsIrVImGzyMS6bMwqSCHO4xjx\n9xcEQRgukyoECq79D9KSY8hMjScrLY7stHgy0+LJSo0nKd49onMIAqEI9c09aKqGxSJht8jEeeyc\nl59CrHvwnYYEQRDG2qQLAf0ERbZbLWSkmsGQlRbXHw5xZKcl4BmBk7RhGARCqtnxrOrRGoPHYWVG\nQQqJMQ7RlCQIwpibVCFQWtFBc3svDS3d1Ld009jaTUNLDw2t3XT3Bk742liPg6zUI+GQnRZPZmoc\nmalx2KzDO10iGFFpaO4hFI5g6x+q6rIrTM9NJi3RLTqfBUEYVZMqBE7WMdznD9HY2kPD0eHQ0k1D\nazf6nAIAACAASURBVPcJN2WWJEhJiCEr3aw1ZPWHQ1ZaPCmJnmHbKSiiajS29uILhLEpEharjMOi\nkJseS35GvBiuKgjCiDlnQuBEDMOgs8dvBkJLNw1HBUVzmxdN1wd9ndXy/9s77zgpivQPP50mbWAX\nliSwsCAioLB4IiAnSYIBBEUFMYunnOepd3renTkeB0ZMp56n508EERQzQZKIOZ1EA4rksLuwYfJ0\nd/3+6J7emWV2AcVlgX4+n97p6arpebt3ur5Vb1W9pdCyWa7dgrA3WyBys3+5q8cwTErKQ5SVh1Fl\nax1aTZXJC3g4ul2B2wHt4uKyXzjsRaAudMNge2lVmjhYWwU7K0K1fi4r4MkoDkc0a4TP+/NjGVnh\nMHS27KhA1w00e8iqX7NaDW1buK0GFxeXfcMVgZ9JOBpn644Ku++hwhGHzdvLCUfjtX6uID/LGb2U\nKhTNm+Sg/MwCXDdMSsvDlJWHUGXQFNkZtmq1GrxuX4OLi0tGXBHYzwghKK+K2C6l9NbD1pIKdCOz\ne0mRZVo2zeWI5NBWRyAakZ8b2Gf3UnJ00pYdFcQTBppitRo8qkR+to+jCpuQE/C4I5RcXA5zDikR\neHnxtwgEHlWhUbafnBwfHlVBlmgQhZ1hmJTsDLJp+y42b69IG71UsjNY6+f8Pq169FKyFWHPfwjs\nY/A7046wunVHpeVSUiRUVcaryuTneDmqsIBsv9Yg7peLi8uvzyElAqZpYpiCYCRO6a4wO3aFiCUM\nDFOQMExMAaYhMAXopokhAAQeTSEvJ0CjHB+qLB+QhWmicatgTnZKb0pxLwXDsVo/l58bcMShdfM8\nWjZrRMumubQoyN2n/gdTCILhOFtLKjEN02k5aKpEoywvnQqbkJPlupVcXA41DikR2FdzhRCWaITj\nbN0ZpHRniJhuoBsCQ1gFo2mALgSmaQISudk+8nMD+LxqvbUwKoPRlNFL5U4rIunqqY28XD8tCxrR\nwhaFFk1zaWm/7q2LyRSCUCTBtpIKErqJqkh4VAlVlvF7FNq2aESrZrluh7SLy0HKYS0C+4IpBImE\nScmuIFt3BgmGE8R1E0MIDENgmsIWCxAIfB6NgvwssgPeX00sTFNQuitYY2hrBdtLK9lWVomuZ+5/\nAGsGdfOmObQoyN1NKFo0yUXT6o7BJIRAN0xKdoXZVRlGkUBN9jsoMvm5Po5q05gsv8dtPbi4NGBc\nEdjPWIWjoCIYZVNJJeVVUWIJ0xIIWywMAYZpIrDWMCjIzyIn4P3Zo4MyYZgmO8vDbC2pYFtpJdtK\nKtlWWsnWkkq2l1ZSGYrW+llJgiZ5WbSwxaF5kxyaNc6mWRNrv0leVp22mrZLbmtJJYZhtR5UWUJV\n7Ott5Kd9q8Zk+VS378HF5QDjisABwkwRi807KimrjJIwDAzT6kA27P4LA0AIvB6FJvnZ5GZ598tM\n5VAkxrYSSxS2lVY6QrG1tIKSnUFMs/Z7KcsSBXnZNGuSQ7Mm2ZZINEmKRQ4FjbNQlcwtCcMUVAaj\n7NgZxDRMVEVGVUCVZTyaTH62l/at8skJeA9I34yLy+GGKwINHMO03C6VoRibd1RSWhEmkXQ/mVYn\nt2EITKxr96gKTfKyyMvxIf9MsdANg5KdQaf1sGNnFTvKqtheVsWOsmCdE+UAZEmiSV4WTZtk07xJ\nrt2KyKF5k1yaNs6mID8br2f3mEymKagKx9hRVkVCN1AU2WlBaIqMT5Vp1SyHVk0b4fX8+iHDXVwO\nB1wROETQDRPdEFSGomwpDVJSHnLEwkgKht1fgQBVlSnIyyIvx7/Pbqh4QqdkZ5CSnUG2l1Wyo6yK\nHSn7ZeUh9vSvyM320TQ/myb5WfZrNk3zLYEoyM+iIC87rV9CCGuEV1l5mPLKMJLAEgnFaploioRP\nU2ndLIcjCnLxaLLranJx2QsOKREwTdN98OsgORoqYQhC4RibSqooLQ8TN0xbLKy+BEssLMFQZZkm\neQHycgN7PQIooRuU7QqxvayS7WVVlOxMtiKslkRZeajWmEyp5OX4HZEoSBUIe79JXpaziJAQgrhu\nsqs8zK6qMBJW34YiS5bLSbZCeecEPLRp3ojGub56WYDIxaWhc0iJwMzF36IoEooEiiqjShJeTaZx\nrp/CFo2szlfXz7xX6IaJblrDQ7eWVLJ9V4i4btruJ7vPwhQYQgASsgSN87LIz/WjKXXXwk1TUF4V\npmSnJQglO4OU7gpSWh6idGeQ0nLreF39Eknycv00ycuicaMsGjcKVL/mZdGkURb5jQJOa8cwBeFo\nnJ27wk5oD+f3osgokhUYMNuv0aZ5LgWNAqiqnHF0U4cOHVizZg0ejzVZLx6P07lzZ3744Yefd8Nd\nXA4Qh5QI1Awbkaz5VoVilO4KktBNZLt2qMiSXQBYQpGf7eOIZrnkZXvdGuI+kOybiMQSbCsLsq0s\nSDRuWKOkMrQuJEkiN8tLfm4Ar1etVZQN02RXRdgRibLyICW7qkWidFeQneXhWhcRSkWWJPJy/eSn\nikSjLJrkWSKRKhZIEpFYgrLyMKFwDBDIsowqWW4nWZH43bnD2LrxByRZYfUPm2mWn0VBfi5CCNq3\nb+8Iwf4QCldsXH5tDikRGH/Xq+Rm+1I2f9r77MDuI2uqJ4zF2FURJhxLICMhyaDaYpH0OWuKTG6W\nl1ZNc8jP8ddaS3TJjGEKYnGdkvIQ28pChGIJEglrrkWy78Kw+y6SzqKAVyO/UYDsgAdFltJaGIZh\nsqvSEopdFWF2VoQoqwizq8IKwb2rMszO8hDlVbUvKJRKUizyci1ByMv1W685ARrZ+/m5AfxehaE9\n2yOEQJJkQEIIA0lWeGn+crxejd+PO9URijkfrMGjypx8wlEIYVJUVMQPP/zAkUceWWcB36FDB378\n8UckSSIatYb0+ny+3cTGxWVPCCGIxQ027ahgS2mQSMLEMEwShmDUSR0PHRFod9rEPeSBnICvhlBU\ni0WjDMIR8HkcpbTcCQl2VoQJR+IIBIpkiUR1C0N2RMOjyuTn+GiWn02jbK8rGvuAYQoSukFFMMaW\nkirKg1Fncl6y/8K094UQmICqKOTn+mmUY/n7k/daNwzKKyOUlYfYmRSJCksgdtrisbMiREVV7XMn\ndrPPMNi86B+YiTAAkurlyrteoqBxLnk5frL8Kled3QdhGo5wJUVj6tz/8efxo9i+6UckWeHlBctR\nZInRg45FmAYtCzsw/bWFeBToW9weIcwa57BEwePxuC0FF8B6XnZVRti4vYLKcIxoQmCYJoZhPSu6\nYY0fLMjLIr+RHzXFZXtMYd6hIwIPTv+IymDU2kJRKoOR6vfBaJ0xeGpDkeUMomGLRZa1n5PlJSfL\namlkZ3nJ9ntBkjAMk2A4RkVVlEgsjgAULDeUJFk1T1m2JlIBqIqMR5HweFQK8vzk5/o5vntXVq9e\ng89nrYPsuhR2x7RnbYeiCasjujxMNK5b7qhkvCgTdGEiUlsZPo28XD/Zfg+qIqMbJuWVEcqrwvZr\nhPLKlP2qMBVVEcorI+yqCLFx4b2OCMhagFaDbkJJmR9RUyhkLUCvcZNp3Cgbv0/llQcuQxhxJEUD\nBMLQkWSF15aupnFeDrKsUF5RxfATOyGEFR7Eam18jdfjZcL5p7DNbm28/t4qFAmG9+uKMA1aF3bg\nw0+/IDfbR/GxnVm9eg3+On5De/qNHEy/oUPlWgxTEI3rlO4KsW1niEgsQcIeBZg6RNyqCIHPp9Ek\nL4uAT9ut1ZxKLK5TEYxQUWVtl5zW/dARgT2FkjYMk6pQqkgktwgVVZmFIxJL/Cx7Aj4POVneamEI\npAhFIPk+/XjA78HrUYnrJlXBKOePOIntm38CSeLFeVZtceyQY0EIWrRuxzMvL+Dycwfz1LQ5+H0e\nFFlG6AkuPmcYi5Z9Rk6WlxN7duOndevqdCnsr4difzx89fGAJlsZu6qi7NhluYsSurBjRlkPmGla\nE/WEYbUyBNYcjLxcPz6PxIldWtm1cgUkrBq/onHt5NmEIgnKqyKU7apiyXPXYSYsd1RNocgkEqnp\nsiTh96mseeNW5xyS6uV3d04nLycLr0fmnj+c6ogH4LQ85n+2Dt2UuPSsgWyzWxxT536NJMH5w7oj\nTIMWbTrw9PS5XHneKY7r6o33ViHLMPwkS0xaFXZAAjZt+AFJkijZWYFXU8nNydrnPpD66CPZkwsN\n2CsX2/64FtMUVrgZ3SQUTVARjLKrMkIkmiAhhDXAImVCqGlav00Tu+KCNYkyJ9tHoxwfXk1JK9wN\n0yQUjlMVitpbjMpQlGAoSmUoRlUwSlXYfnXSI7stp/vTO38/dETgjfe/x5SAZFgG23ohBAIJgcCr\nqni9Gj6fSsDnwaNZboNkzbwm8YSeQTSqxaLCbmEEQ9ZrVShGKBLb4zj52lBkmewsD9kBLx5VZvF/\n/gCmAZJdwxQGSDKTnl/C/X+7iJItP4Ek8fr73+D3eRjasz0IQcvW7Xhm1mIqqsKMG3oMCGH5w6wb\nApLEjHdXcO0lw9m26SckSWL2ktXIssTIfp0RQtCyTREz31xCwKeRk+Uly+chO6Dh1VQURU67Z/vj\n4dsbH/iBqMUlJ+xVhWPs2Bli6IA+bN7wA0gys5esxDRh9KBjQJi0aN2eR194h3giwQXDiq2+ghru\noOff+ZJIzGBneZCbxg9GGFZFQ1K9DBr/KOGoTmUoQmVVxBEJWQsAOPtJsahLSPw+DZ9H4etZN2Hq\nESTVagkIPYakeLjhwdfIyQ6gKRI3XXYywqwpJjLvfrEOEAz5TdItlSJ6ssLUOf/D6/Fw9YWnOmIz\nY/5yJFni3MG2e6tNBwBHaF5bvBIkGDXgGMf99X+z5iNJMheNHsxzM+bg8WjIkoSu61x09jBeen0h\nY0eezOYN1jk++GotiizTu3sRwjRp07YD8977mHg8To9ObSxb7f4/YZpIssKyL9cihOCk33R07Heu\nVVaY+8EaNI/GBWcOZsuGalEEOKN/14zXMmvhcgQS55xsXWuL1u15bOqclOffetY8mkpWwHquvR4V\nCUgkdCKxBKFInLC9hSJxwlH7NRIjHEkQilr7yXxBu+D/ueWMqso0yvbTKMdPo2wfsx+48NARgdrM\nFUI4QxsjsQTBcJzKcIyqcJxY3MAwTXTDdPzMYPubBdaoFmEPhTRB2CIjAL/XEpJAwIvXo1j9AZJV\nxlr/rBhV4SjBUIyqGkKR+hoMVx+PxdNVWtd1Ni24E0z7uKzSevDtqKqanibbM3Dt/c4jJ9IoJ0DA\n78GjSsx94kpLQAAkhb88/CY52QFUGW66bBAIEyTZvjjrh7vwi3VkZwWsZmk0QSSeIBbX0XUDCftG\nYAmoriecVgqSnWr7r2e/txqAM/t3cY6Rkr7gk+/IzvKjyoLjuxRmzBMOR+jSpTPr9tCqgV+/NZEU\nK4BYzHIxer1WAdu+fXu+X7uWIzt0YN26dYDE+1/+QDiWYNiJnUGYtGzTgcf+701GD+xi/TtSCiOA\nGYtW0zgvm4vP6MeWTT85/QihSJwrz+qNMHUKWh/NhX9+kPLKEP+95wKEbtkha346Db+LaFx3Cog9\ntTj2lEeSQFNl1r5zZ3W66mPYhMcJ+L14NCui7rR/XmS7t6z7nnR1TXx2IR5N4foL+ttCowLCKXyn\nzfsfPr+P348dZgmJJPPOR9+jKBLDTuiAEIJWrdvx4tvvM6C4MGOF5t3P16GqGpIEiUSCIccX4dwA\nSWLxV+vxeD0gJOLxGIN6tHXKC0mSmfvpWlRVsxZjikQ547dH20KSKhQqj85YRkI3+fMF/awWmKLZ\n15pAUjxcefcMdBNisQTRuE4sniAa04nGE8Ts12hM3+05/7lkBTzkZvnIyap2S6fuJwfEWG5rH7lZ\nPvy+9PVCGlSfwMaNG7nooovYsWMHTZs25YorrmDcuHFUVVVxwQUX8NVXX3HccccxdepUsrOz042t\npxnDSUFJ6Ja/vzwYpbwqSjiasIdEWk08wBlLbwrLZ2cKYfukhfP79Goq/oCHbL8Hv1fDNIWj+qFI\njPLKEJeP7GkV0gCSwu/vnUVcF4QicSqDId55/AqrtQBpIpGkLiHZm3RVka1apVfD77VerU3Fq6l4\nPapduxE89rezUsRG5oGpS8nO8uP1qMgILjq9R/rD+eVPBAJ+BBBPGASDYU7rc2RanhfnLcejeYjF\n41xwSreMhcDMBSvRPB4mjB3Cts1Wy+bVxauQJIkzB1ji07J1O557ZREAigSSfX45OfxTkpBl8HlU\nvJpiXZtXtfpqNNVaX0GREaZBTnYgo1ildtjWJRTr16/HMKz7VFVVBUBOTo5lm6LwzU8llFaE+W2P\nImbN/xKfz48JBIMhxp16PLMWrSIWjzN28DH2rU4XkgVfrMfr1YjFdMorg05N1foJadzy+DvohjXQ\nIRJNUBUK89LkyxC6Ja6y5qfryHuI6yaxuM72L18iWvY9ItkRrgXwNelI8+PGOr+zPeXZkxilptfW\n8qnrOyQ7Wq9pGGxYUHt/zd5cy77Ymil9b9BUhSy/h4DfY1Um/R6y7C257/clj3nT0nNqGe1YE2GX\nPSJlP2EYxGI6sYROPG5wWq92DUcEtm3bxrZt2yguLqa0tJQTTjiBr7/+mn/9619s3LiR+++/n+uv\nv5527dpxww03pBt7EIWNSI40Si6AUxmMUhGKURWMETcEprCEJBaPc+aArtZ11Sj0ps5djsfjIZ5a\nMAJIEsuWb8REJhKNUV4ZZszgY1Nq+tj7Cn+Y+Aq6CVXBCNMmXlBdeMsKxWffR8IURKKJvZq0Bb9M\nbGRJsoRChlWz/5aSR2HIlU/i91nzNyRMZt1/SVqr5o+TZhMIWKvIIUzuvmpYhuuV+e9bX5AV8KOp\nCqoqo6oKmiKjKIrVQa/KSEhWq9E00XWDRMJANwW6bmCaVqecEIJ4Is4Fw7rtJlZezQMS6IkEY4ce\nm1mwFq4CBOcM6mp/tFpIAF5bugZN0xh/zmDHVff60tVISJyRdNW1bsf2rZsxbVfSG++twDRh1MBj\n7Vur8cyrnxBPxJkwurf1PTWE4vm3/4fm8ZDQdS4+tVvGPG99+D2Xjh5EydaN9n9Zsq7HrpQ0OaI9\n/3hiJrdcfR4lm77L+LvIb92FM8bfxeynbqGq5EeEEbf/dV6ymnagz5nXoxsGhmHyxduPES5d64iR\npPrxFRxJm14XsvnzaYQ2/y/jdwRaFdOs+5g6haTN4JvZ8dUMItuWO+cGELrV3xJocQxdTr4CVVFY\nMf9f6XYoXrKbdmD4ZbfZ84hMXrj3wpRr8fC3KW+SneXH51WtSpLHcj17PSo+j1Vp8nk0PB7Faj3J\nslUWGIJYwmodRGM6iYROXLc8FMkWt2TvJW9/deFf/WxKSOimQTxupJ0PIWwRsPLJsoSmKfaiUSqX\nnNat4YhATUaMGMGf/vQnnnjiCW655RaKi4v58ssvmThxIjNnzkzLezCJwN5Sl4+8qKiIVavXkBXw\nZ6yRvv3BNyiKxiWjB7HVLkhmLVqFKQTnnGz1ETRv1Y6Hn3uT84Zlrl3P+XgtuTlZqLJMXDeI2e6g\naMyqPcbiVpM3njAIhsLcevlgR2Cs81h9GWff8F9iCZ03H7ncarHICiA5rqu2Q+9EkuU63VsZXWDw\ns1o+e4MsWaKgKDKaolhxilTZjnqqIITBsuevSWmBKYy69ll8Pq+VR7VaDM/fPS5NsP784Bv47Tym\naXD374eltPJkHpq2DL/PCituGjpXntUrg6BJzFq8GlWWGdWvk/3ZlP8dsPCrDXg9Gv26tca0Wxyz\nl67BNAWjB3SxTVaYufgbzhnYGdOw7tUzb3wOAi4febydR6NR0yPYtW198s7Yr5bN+c3acd0/XyAU\nCjH5j6dkvJd/eWQuT989gYqSn5zrdK4FaNSsHdf+4/947NZL2Ln1x4znKGhZxDX3PMdt4wdkTL//\nxffxZ2Vz++9HUbp1PSDx4IyPkGWJ687pDQgKWrbDNE12bt+Q8smkWxPym7fjxvteZNJfzqd8e9LW\nlN8ykNe8Hdfe+xx3Xj7QvpR00bzr2SV4NE+KuzTtK6y3UvWmSBKSJKNpVr+BR1PwqNZrsqBPTrIE\n69/reBJsr0TSLQsCRVbweVRLcHwaXo+GqlidybX1ezYod1Aqa9euZejQoSxfvpyuXbvy7bff4vP5\nCIfDdO7cmfXr16flPxRFAOr2b+/tZKK9PUdV0JqB28ge+dGmsIjZ8z4gFE04/SbJkD+GSLq0rNfL\nzx3ijGSaPn8FAOfZNeFmrdoBsMNOnzpvOR5V4dyTu9qd2G155d1PGD2kF1s3rXc6unXdtPzm9jnu\nfmxmLYWizI1T3kYgkdBNwpEoT99yTlrhO+KaZxDIJHTD2hLWq24YVogMPTl5xqhzMR5gr8Rqt3yw\nz+n74xy6rrNp/q1OmmMrUDzmIbxeDWGafDr1GjuPXejZhdrp1zyLz+th7nO3ECpdT3VpJpFTUMj5\n1z+CIsu8+OA1lG9fl/F+NW5RhGkalO/YkDE9v1khtz36MpFQ2OqfysC9zy7ioVsup3RLLSLRqj23\nTpnB3deOoXTzj4DEo7M+RpJkrh59AiBo2qqIfz79Bn+9fDilWzeQWjI3bVnIs68uQVUVLj7jt+xw\nWj7pND+iDSXbtzjC+u7nPyABg4/vYN8+hfdXbLZq33YN3BR2PxtStXtGCPu47SZ2ttT3OMcNx9Vs\nb6ZI2f8Z7w3rvW6YPP7XEQ1PBKqqqhgwYAC33XYbI0eOpLCwkO++++6wFIE90ZBCE9R2nu+/X4sp\nBEd1PJKvV6xCVTWisQQVVWH6ndiTtxZ9RDhi+SjPO2Mgz748D1VVMQTEYzGuGHcqz81cwKUp7pGZ\ni1aCgLNTWjX/mj6fWCzuiM/uLrSv0TwerOEtAkWRUBUFVVHQNBlNtZrpiiLZNSZrVJDzwJgGpmFy\n8ZkD2bbpJ+ecum5wyfDfgDBpekQ77nxsFpFIlOsv6JdRsP784JsYhsmUv4xyWktWurV/7o3PI0kK\nhmkSi8V589HL01ocJ13yKJIsYxqCaDzO59OvTxOBjsPvQZJke6KQWS9iA7Dlo6eJ71pP9UwMGU9+\nW47oc8VepW/95N/EyjIX8t4m7WnZ63d7PMf+ak3W9T11CWvroXfvU4uzIdDghogmEglOP/10Tjvt\nNK677joARo8ezS233EKPHj344osvmDhxIrNmzUo3VpK4/fbbnfcDBgxgwIAB9Wm6Sz3wS8aJFxUV\n8e13a63ame3fj8UTxBIG8YRBJG75UeN2K8EwhDNKzKqVmfZn4dKzB/Pk9HfQVM2xY8L5p/HMywtA\nCC4fM8QRrJcXrkQIOHdwtWABTstp2vwVSKS3nB6dOo9EPMYFp3TPLGhzvkZWZMbVInjvfr4On8+L\nIknoeoJ+3QvT+i/mf/IDiqZiGpbQxWIxRvXvnJLH6kORFZVoNMYVZ56QUdDu+c9CFDvPnROGpuSR\nHFH746TZKKpKLBbjXzedndZCu/jWaciK6gygmP3EDQRLU2vpMlkFhQy+6C7isQRz/nVFiksRZ7/v\nRY8gywqmMInFE7sJY/HZk1FUlUQiwfJX/ppRJLqOmoiiqiAgoSdY8/pNaec4avi9qKqKQKAndL5/\n+5Z08T39HlRNtYecS05HtSxZoxCsioU1+ECSLC+/JO/5uCRZgzNkWbbinclyne+d/ZrvFRlFlti0\ndjnrv1/uTFZd+NpzDUcEhBBcfPHFFBQU8OCDDzrHJ0+ezMaNG5k8eTI33HADRUVFB3XHsMuvS0OZ\nEfpLJhwJIehgDzOVJIlgKIwQOKOS2hUVATgTAddtLkXXTTq2bYYQgtaFRby18CPC4Sh9i4sy9xst\nW4Nmj7oacVLnjHlmL1nFhPNPcwTt1cWrEMDogdaAhRat2/H09Hf53dhqd+DMBSsRpIvelOffShtC\nbH+JJYLJ0V+JOOfX0j/14rzl/OnSEWkuRcDpnG/Wqh2PvTDXuo96YrdO+1mLrVn3l48eyDb7HG8s\n+w5JlhhxYkfbLdmOF958n0Q8zqm9j8xox4IvfsLr8RBPJDj5uLZp37H06414PB7nIxKS05Hr7NuF\nulQjcOLeBpOpOQt4t89J6cf3JrR+g+oTWLZsGf369aNbt26O8RMnTqRv374NZoioi0t98ktnru7t\nBLz9MUnvl/ZfpeYJRyIgsIYP2624775fy1Edj2TFytXOd8Ticbod04U1337vfGeyT6umoP20pRRV\n1ehzfHcWLfsUVdVAQDQeY0i/3iz64HMEcHLf49m4wRLX/63ZiAkc17mNI66vzV1Kz66Z57O8/9WP\neDStejSOMzInOVRTOP1qDjXKLUFaP7LzLjVbcjd5zOkftr8viSnS86eexO6m4NTeHWovO8VBxEFm\nrotLvdG+fXsRi8Wc97FYTLRv336f8xwMdrRv314AQpIkEYvFRCwWE5IkCWCfz1ObHfvrOxoKdZWd\nB3yI6L7gtgRcXFygftyBDcXluD84pNYTOIjMdXFxcWkQ1FV27tvq4y4uLi4uhxQH12BXYNaS76wV\nwSQZSQZFro7Zr0gSqj3+OyfgoXGuFa8/4NOcuDEuLi4uLtUcdCIgy1Ycf79PcwKeOVOvRXok0e+2\nBgn9UEZC15Gwx+faYmEP660OKiZZ51ZkK4CYz6uQZ0foy83yoqmyKyQuLi6HHAddn0Cm5SW9HtUS\nBa+HgC0Ofp8VsbPmviMgXvu4vR/wefB5VTRNtaJdxg0n/nc4lrDildvRnZLBnSSslogkV48NlmUJ\nhBXPW7VFJcuO1Z8d8JLls4JOJZer3Jsxvi4uLi6/hLr6BA66lsCRhU2JxOJE7PC4kZgV8CwW1yln\n7xYbrwtZkqxwykkx8Xps8dg7YfH5NPwezYos6FWRJZlIQqe8NEIkVkk0rmMaBsKe6iFbTRQUSQJJ\npLROUiadkGzBWGmKbLm9Aj4PWUnbvBp+r2qtu9vABeZQGnXh4nKwc9C1BP47dyWSJKNIVm3bubsu\nygAAGeFJREFU57Uj6NmBm6wFHqwtbItEJJoqGtZ+OGU/9Xg8YexXmze/P4W2A64lJyuAz2stzPHV\na/cy9LJJVqz+ZPjZZPx+j7Xv9ai7vfd6VDweK76/pioIsAXQIJ7QiSUMJGHaQWmtv6QKCjizG5OT\nGSUpJd1u0VTH3rdE0aMpBLxJO+2QuR7FCgtt98ckxWtPNNSVxWqztSHY4eLySzmkhog+884KKwqf\nvRxgLG7F5Y7FdOIJPS28a7IwtGKji5QY21YoV01T8KhWSGBFtoQFyVooXpKscK6mKdB10xGXSGzv\nheXbeZNJVG0DJFoNuROAze/eDgi0nBa0Ounan30vNr8/heZ9rrJim3s0ZEmwZs5kTjr/HjyaiteO\nZ777vi0mmuK8r7mv2aFuVU3Bqyn2dHjJicwZ1w30hIFumvYPy7rnAgkZe7q8EE4slWT/C1hxo5Jh\nrmtO13/9vdVced4wtm3eAJLEO8u+QZbglL5HgxAc0bqQN979CI9H5bSBvVj0/idkBwJ4NAWEzvHH\ndee779Y68VzsRtbPahHtj+ite5O+t7a4YrRvuPcsnUNKBE644DG7RqzYBZpmr3xV/d6jKU5h59Us\nP7/Ho+JRZauYkpMhXK2QrrIsI8nJxUYEcd1atCGh6yQSJnE7pKz1oaTIpLxKAiQZCYEsWULj1VQQ\nJn8Z1yclP87+3x+fj6ooGKbg8dsu4tK/P4UsKyR0g3A4ysuPXMuICQ8SiyeY88yN9DzrVgwBsZjO\nV6/fjR7cQbq43AbgiEsikWDHx084QrP5/Sk0630VmmYFQ6uZvjeoqszGJQ9z1NDryQr48XgUJASf\nvXI3gy/5J5qqMO+ZGxl+5WRrYRdNQZgGLz10DRNu/w+qquDRFB786zgqyramnbtx01Y88uI8hGlw\n4anFGUVi8Zfr0bwezhl6Als3WUIxe+k3GIbJ2clw1C0LeXTa/LT/j63tzunsEC/VQpHMmXI8Ho87\n0UsziZVH07j07EGOYL31/mokSeL033a2Y9QUAjh2LvrkOzRNod9xHezQBO1Y8uEXaIrCSb2K+fDT\nrwgEvNY6BqZBcbeuTgiFZGyhcDiCJIHf799nMdqbPPV1jj1RH+Er6uta6gvTTA9dkawgR+2t6Ij8\nQ0cEMnUM709SBSS95qzaqwelv7fERbFeNdVyqUgypmliCkE0EuPOKwaTGqN90ovL8Hl9COCuP4xk\n5/ZNgMSt/16MbphMnHAyIGhU0AqAitLNgMQNj81DRmby1YNT70rKueH6h99BkhXuv+YUQJBb0AoE\nVJZZ5xj792kYpsHMSRcCgkB+S/pfMNFaYUtPRta0YpDXjMu/+f0pdbZsgD22fKrPsTvJPBuWPIgZ\nLklLkwNNKRzwZwAMQ2fjvFtTrh/nHpx48WP4/V5nYRhFkdHshWOskNLpC8fUlT75hvOoKNuSZkfj\npq148Pl3UFUF09C56NRi24wUoQDmfPIDiiwxtGf7jOnzPl+HLKtcOKKvJSTAy4tWY5iC8wZbq5E1\na1nIA/99iwtriTKaXOXsqnFD2LHVEpua6zw0P6KQJ2csYMKYwWzfYn/PwpXIkszZg6yFZ5q3sgRr\nu23HK4tXIQFnDbTsaNGqkP/MWsT4pOgBr7+3BkmCM/p1dvIAjii+uXQNsky1KLYq5IXZS0CWuHBk\nf56duQCPV0MCEvEEl5w9mGlvvMe4kf0d4Xz3428BGNK7kyOsM958nzEjTnLyLPj4OyQJTu51lJNn\n2uxFDDyhY8Z7tvDj7/B4NM4d0S/tHAIY0vuojAI+/yPLjqF9OjnXMvX196pj+YBdwFbH9KkZO0jY\n8X6sp9X6aybfJ4MQSdbnbMcFZtKJYWdMxiUCO16QdcAOhF2jRW5HJfV4NDRNZuhxhYeOCCz8coPl\nB7eXVkvd4ok63ieqV81KhhJOe28v17a/icfjbFlwe9qxIwbfmVa7qJmeZMDl/0JTFd598op9+Mb0\nFsfV97+JIstM+fPpkKFFcsu/F+PzepBlGVlW7GdGICsKitPBLNv9LTH+el7mls21D72DYRg8dsOI\njOnn/n0aiqJSWVnF249cltHynuMeZsXbk4hWbM2Yvi9C8kvZm+/YUx6gzvSiQdfzw4LJGKGSjHk8\n2c058by7+fClW4lXbU9L8+c2Z/jvH0KRZUxT5+VJF9gp6aJ41T9fw+f18vTdlxHcmfm+5jZpiQS7\ntc6S5BUcwT1PvsYtvx9FecmWjHkaN23FA8+9xaXDe9hmpIvey4tW4fN5+d05gxyxeeOD75AkO8In\nlpA8M2shw/t0zHiOuZ/8gOb1kEgkOKUWcZ3/2TqrkB/Wix3bNqfZ2LxlK2Yv/AIkiXgsZi1on+Ec\n8z5fB0IwrJbveOvD79E8HoRpF/yiupAHkV5oC8ulbJhm+qthVRINo/q4YQpM57VmnurjZmpeI/3c\nyQpc6qthmky7d+yhIwJvLPveWq2HZGQ/AIGRjK4nqnsEUpVRlWVrURFNxaPIaE4Hq1zdoSkgYVgC\nEY9Xi4QlGHraUovJ9zXT43bc+oRuEApFeOex8RmvpcPwfyDJCrpu/iyhKOh3M6VL763zfu3pHKnp\nme+3VZtQkoIgy5hGglWv3piWr9eFj+D1epFlGT2RYNlzV6WlD/n9v/H6fMgSLPjP9YQrdmT8vuz8\n5gwdfx+v3n9RxvQr/vEaeY1yMAydB64ZljHP3x5fYD2gwnowTECYJqbdjyRE9UMj7FfTFOhCIIzq\nh6uysorXHrw443ecePGjeH1+otEYHz3/h4x5Oo2chCkE37/xt4zprYbchaZpJBIJx5WXKc+Oj5/4\nxWKUdA/W9T1Anen7y9ZMrbwkcqApiqL86uK7v85xMNHgFpX5uexL7CBTiDQlttbPNazO3bhuLS4S\ns1oByQXhTQGmqF5eManuJkBS7e1+BPtQdS1A2Hns/BJw9biT2bHVcvW8MPdrZFni/KHdAEGLVoXM\nmPsxqiyj63H6F7dNCQErMWvxKpBkErpJMBTmdyN7UjP47J4Y89epyIqKbpiEwxHefjRdkE64YAqK\noqLr1Usu7mn5xZ8jWDXFZv3CfyJiFWl5JG8j2p78NzYunowR2ZXxu5VAPm0G3Fhn62lPwra3bFxy\nH0Z4Z8Y0NdCEdoP/SiKRYP2cmzPmOfrMyciSzOpXb8iYbgmnD0mCcCjMZ9OuS0vvfeEjZGdnEQyF\n+Pj/rsl4jj4XPUpWdhaJRJz3/j0hY56TLvuXtdKaEARDIT6dml549Tz/YbKyskBAKBTazY7jznuQ\nrEAWYP36QsEQX834c1qebufcTyAQIB6P8+X09M8nOfacB1BVjXg8zqpXMt+To0dNBuCb127MmH7U\nGZNQNWvRmNrEtcPwicTjcTbOz/z7aDX4DgKBAIlEgp9q+d91POOfSMB3tXxHl7Pus9YUAHu0nVWJ\ntN5LNV7tiAb2RNXkAjRSclRdWhpUL1aTTMOZ5Con+7CsceVpfVjV6xpUL3TjpEkSU+8affiJwIEk\nVSyO6ngky1euRtU0ErpJVTBEn+N7sHDZF0QTOpXBMH2L21cH/rbOAEi8vnQVCImR/bvAbi4Wi5cX\nriIej3PBqT1SLKjuFH1h3nIkBBcM657hHBLT5i8nEAhYcw80yxduzTWQ7SGiOAIZDkc4tdeRGc/z\n37e/xDQFl434DamtsCST/28piqoSica45bKBGe/bnx54E0XVePL2CwmWp9cWA7kFnPvnJzFMwStT\nriJckbk26cstoP+Fk5wavilEyr4l8KaobgGItPTUfIK1c+/FrEWsgLoFy58PUIegNabNgL/sUdC2\nfzilVjHa23N4PJ495gHq5RwAwWBwt1ZsQb+byc7O3i/Xsv3DhzHCv6wisbfXcrBwWLYEDhb2NJIB\nqDW9sLCQ9evXO+cAiMViu51DCOGMMKkKhoGU1avaFfHl16uI66a1BKNuEI/rJHTDcW3pdiE5bmQ/\ntm3eCEi8tWw1pgln9LMEqnnL1gBst1s+r763CgScNaCrk/7vmYv53TkDnTwvL1wBSJx78jGAoFnL\n1jzywlzGDj6WjII1bzker4d4LM64YcfaaenC+OK8FWgeLUWCUoaHCuHUqJK1L0WxQo4ockpIEVlC\nTyRqXXlq0Vc/4dW8xOJRBvVoZ5uxu9/YNE3O+G2njHZOm78cVdX4/dhBlO3I7Itv3LQl9z37Djdc\neiq7StNdE/kFLbjrX29gCsGdfziTnbX46vMLWnLDfTOYfP3ZVOzM7IbLyW8GQNWuzOlZeU0Zf8tz\n/OfuSwnVIr6B3AJkWSZYnvkcgUZNGT5hCtFYjDcevjRjnsFXPsWy6TcTrSzNmO7NKaDvef/gg+k3\nEauqJU92ASeMuYePp/+dRA0h0AL5nDDGEp/PZ95GLFj7OYA60ptQfOZdKctDklL7TokcQHWtHKqH\nS9c87nw2w7DmtGN2lIJkK6K6RQGyJNu/bazRjlJ1TDVJknjqplGuCDRkDpahe/Vh6/5anQqqvWuW\n2y7ZH5DsqLP6BoQp0J3OuuoOugEnFrNpwwYkSeLTVevRdZM+3Yuc0SEz336fc07/LVttUZz30TcA\nDOtzNJa7rw2AI5pvL1sD2KNlELQ4og3/nf0el5zZn21bNgLwxtI1CAEj+1sjbpq3bM3TL81nZP+u\nZBLFV5esdGrGlthCTbGZtWgVHo+Hy88ZaLsmrdYjEpw7KDkKyRLwZPqMBasAGDO4Ov3JGYuYMGaQ\nk2fauyuRgPOGHOPkefj5OdZ6yBnsmDpvBR6Ph6vGDKR0R2bBKmh2BA+/MI8LahH4qfOWW8s+xu0l\nKmv5HrCXpMxwz6bOW+7cs1q/Z669rOUptX2HZYeVJKXlSB7KVEztsehKr0ekf3b3bPvEuQM7uSuL\nuRw8HEqrZP3Sc+zNCld7uwpWQ7C1qKjI7j1DRKJREYlEnfdFRUVOuiRJIhSOiFA44pyjqKhIJHQj\nLU8wFBHBUHqe1PTKYFhUBsNp6dG4vsc8qekVwbCoqJEeiesiHEuIcCwhQtHqLRiJi2AkLqoicRGq\nZQtHExm3SCzzFo3rv3irq+w8qEpVVwRcDkcaiijuDQ1BOOvzHAcLdZWdrjvIxcXF5RDHXVnMxcXF\nxSUjrgi4uLi4HMa4IuDi4uJyGOOKgIuLi8thjCsCLi4uLocxrgi4uLi4HMa4IuDi4uJyGOOKgIuL\ni8thjCsCLi4uLocxDUoEli5dSufOnenYsSOPPvrogTbHxcXF5ZCnQYnAtddey1NPPcWCBQt4/PHH\nKS3NHMp1X1myZMl+OU994Nq6/zlY7ATX1l+Dg8VOODC2NhgRqKiwFu/o168fbdu2ZejQoXzyySf7\n5dzuj+DX4WCx9WCxE1xbfw0OFjvhMBeBzz77jKOPPtp536VLFz7++OMDaJGLi4vLoU+DEQEXFxcX\nlwNAPYWz3iPl5eWiuLjYeX/11VeLt956Ky1P9+7dnQUo3M3d3M3d3G3vtu7du9da9jao9QR69OjB\nlClTKCws5JRTTmHZsmUUFBQcaLNcXFxcDlnUA21AKg8//DBXXnkliUSCa665xhUAFxcXl1+ZBtUS\ncHFxcXGpXw7KjuHLLruM5s2bc+yxxzrHVq9ezfDhwykuLmbEiBGsWbMGACEE1157Lb/5zW848cQT\neeaZZ5zPrFmzhuOOO4727dtz880315ut3377Leeffz5dunRh7NixRCIRJ+2RRx6hY8eOdOnShWXL\nljVYW999912OP/54unXrxqhRo/j000/rzdZ9vacAGzZsIDs7mwceeKDe7Pw5tq5du5aBAwfSqVMn\nunXrRiwWa5C2HsjnauPGjQwcOJCuXbsyYMAApk2bBkBVVRUjR46ksLCQUaNGEQwGnc8cqOdqX209\nIM/Vr9DH+6uzdOlS8eWXX4pjjjnGOTZmzBgxY8YMIYQQ06ZNE2PHjhVCCDFnzhxx+umnCyGEqKys\nFG3bthW7du0SQghx6qmnipdeekmUlpaKvn37is8++6xebD3vvPPEyy+/LIQQYuLEieKRRx4RQgix\nfft20alTJ7F+/XqxZMkS0aNHD+czDc3Wr776SmzdulUIIcR7770nTjrppHqzdV/sTDJ69Ghx7rnn\nivvvv7/e7Pw5tvbt21fMnDlTCCHEzp07hWEYDdLWA/lcbd26VXz11VdCCCFKSkpEUVGRqKysFJMm\nTRJXX321iEaj4g9/+IO47777hBAH9rnaV1sPxHN1ULYETjrpJPLz89OONWrUiLKyMkzTpKyszEnP\nzc0lHA4TDocpLy9HkiQCgQBg1XLGjBlDkyZNOOuss/bb5LQ92bpkyRJGjBgBwBlnnMEHH3wAwCef\nfMIpp5xCYWEh/fv3Rwjh1BAamq3FxcW0aNHC+dzKlSsxDKNebN0XOwFee+012rdvT5cuXdI+09Du\n6Y4dO5AkibPPPhuA/Px8ZFlukLYeyOeqRYsWFBcXA1BQUEDXrl357LPP+PTTTxk/fjxer5fLLrvM\n+d4D+Vztq60H4rk6KEUgE/fddx9TpkwhPz+fxx9/nEmTJgFw4okn0rt3b5o3b0779u158skn8Xg8\nrF27lmbNmjmfr8/JaUOGDOG///0vsViM559/ng8//BCwfqydO3d28nXq1IlPPvmkQdqayvTp0+nT\npw+KohwwW2uzMxgMMnnyZO644460/A3xns6fP5/8/HyGDBnC4MGDmT59eoO1taE8V2vXrmXVqlWc\ncMIJaRNOjz76aMeV0lCeq72xNZX6eq4OGRG47LLL+OMf/0hZWRkTJkxg/PjxALz11lt89tlnbNiw\ngVWrVnH55ZdTVlaGqNEfXvP9r8mdd97JypUr6d27N4Zh4Pf7a80rSdJuxxqSrStWrOC2227jscce\ny2hbfdlam5133HEHf/rTnwgEAmm2NMT/fzQa5eOPP+app55i6tSpTJw4kfXr1zdIWxvCc1VVVcWY\nMWN46KGHyM7O3qfvqu/nal9trc/nqkENEf0lLFu2jBdeeAFVVRk/fjwTJ04ErMiko0ePJj8/n/z8\nfE488UQ+++wzTjnlFLZv3+58fvXq1fTu3btebG3Xrp3zz50zZw7xeByAXr16sWDBAiffN998Q8+e\nPcnJyWlwtgJs2rSJs88+mxdeeIGioiIAOnbseEBsrc3OTz/9lFdeeYUbb7yR8vJyZFnG7/dz1VVX\nNbh72qdPH/r370/79u0BOPXUU5k3bx5XXHFFg7P1QD9XiUSC0aNHc+GFFzJy5EgAevbsyZo1a+jR\nowdr1qyhZ8+ewIF/rvbFVqj/5+qQaQkMHDiQN954A4DXX3+dIUOGAHDyySczd+5c4vE4paWlfP75\n5/z2t78FrGbYSy+9RGlpKbNnz6ZXr171YmtJSQkAmzdv5oknnmDYsGEAnHDCCcybN48NGzawZMkS\nZFkmJyenQdpaXl7O6aefzqRJk+jTp0/aZw6ErbXZuXTpUtatW8e6deu47rrruPnmm7nqqqsOmJ11\n2dq5c2dWr17Nrl27CIVCLF68mEGDBjVIWw/kcyWEYPz48RxzzDFcd911zvFevXrx7LPPEolEePbZ\nZ51C8kA+V/tq6wF5rvZL93I9M3bsWNGyZUuhaZpo3bq1ePbZZ8XKlSvF2LFjRbdu3cS4cePEmjVr\nhBBC6LoubrrpJnH88ceLfv36iRdeeME5z6pVq0SPHj1Eu3btxN/+9rd6sfU///mPmDJlijjqqKNE\nx44dxb333puW/+GHHxYdOnQQnTt3FkuXLm2wtt59990iKytLFBcXO1tJSUm92Lqv9zTJHXfcIR54\n4AHnfUO7p0IIMXv2bNGlSxfRu3dv8eijjzZYWw/kc/X+++8LSZJE9+7dnd/enDlzRGVlpTjjjDNE\nmzZtxMiRI0VVVZXzmQP1XO2rrQfiuXIni7m4uLgcxhwy7iAXFxcXl33HFQEXFxeXwxhXBFxcXFwO\nY1wRcHFxcTmMcUXAxcXF5TDGFQEXFxeXwxhXBFxcXFwOY1wRcHGpB0zTPNAmuLhkxBUBF5ca3H77\n7UyZMsV5f/PNN/PII48wc+ZMhg8fzkknncTTTz/tpJ955pn85je/YdCgQcyePds5np2dza233kpx\ncTEfffQRDz30ED179qR79+785S9/qddrcnGplf0299jF5RDhp59+Escdd5wQQgjDMESHDh3EF198\nIc4991yRSCRELBYT/fv3F1u2bBFCWIu/CCFERUVF2oIlkiSJKVOmCCGECIVColOnTk5aRUVFfV2O\ni0uduC0BF5catG3bliZNmvC///2P+fPn06NHD5YsWcKnn35Kz5496dWrF1u2bGHRokUAvPTSS5x8\n8sn07duXH3/8kRUrVgAgyzKXXHIJAIFAgObNm3PhhRcyd+5ccnNzD9Tlubik4cYOcnHJwMsvv8wH\nH3zA9u3bueSSS1ixYgXhcJjbb789Ld+PP/7IqFGjWLJkCY0bN6ZHjx5MmTKFfv36kZOTQ1VVVVr+\nefPm8dxzzyGEYMaMGfV5SS4uGTlk1hNwcdmfnHnmmdx6660YhsH06dPp2rUrp59+OpdeeimFhYVs\n3rwZj8fD1q1badq0KY0bN+aDDz7g66+/zni+UChEKBRi2LBhHHvssQwcOLCer8jFJTOuCLi4ZEDT\nNAYNGkR+fj6SJNGmTRvuuOMOJkyYwKZNm8jJyWHq1Kn07duXtm3b0rlzZ4455hgGDx7snCN19aqq\nqipGjhxJLBYjLy+PBx544EBclovLbrjuIBeXDJimyXHHHcdrr71Gu3btDrQ5Li6/Gm7HsItLDVav\nXk2XLl0455xzXAFwOeRxWwIuLi4uhzFuS8DFxcXlMMYVARcXF5fDGFcEXFxcXA5jXBFwcXFxOYxx\nRcDFxcXlMMYVARcXF5fDmP8Hzb9HxfNBzYkAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Exercise 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can you fix the issue with over confidence in this model? Some things you might try include (a) adding additional covariance functions to handle shorter lengthscale effects. (b) Changing the rank of the coregionalization matrix. (c) Adding a coregionalized noise model using `GPy.kern.white()`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Question 1 answer here" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Predictions in the multioutput case can be very effected by our covariance function *design*. This reflects the themes we saw on the first day where the importance of covariance function choice was emphasized at design time. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can you build a covariance matrix that coregionalizes separately over the sex of the athletes and the event identity? Does this matrix perform better?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "X2 = np.zeros((X.shape[0], 3))\n", "X2[:, 0] = X[:, 0]\n", "X2[:, 1] = np.remainder(X[:, 1],2) == 1\n", "X2[:, 2] = np.floor(X[:, 1]/2)\n", "print X2[:, 2]" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.\n", " 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 1. 1. 1. 1. 1. 1. 1. 1.\n", " 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.\n", " 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 2. 2. 2.\n", " 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2.\n", " 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2. 2.]\n" ] } ], "prompt_number": 42 }, { "cell_type": "code", "collapsed": false, "input": [ "kern = ((GPy.kern.rbf(1, lengthscale=80)\n", " **GPy.kern.coregionalize(output_dim=2, rank=2)\n", " **GPy.kern.coregionalize(output_dim=3,rank=2))\n", " + GPy.kern.bias(1)**GPy.kern.coregionalize(output_dim=3,rank=0)**GPy.kern.coregionalize(output_dim=3,rank=0))\n", " #+ (GPy.kern.bias(1)\n", " # **GPy.kern.coregionalize(output_dim=2, rank=0)\n", " # **GPy.kern.coregionalize(output_dim=3,rank=0)))\n", "model = GPy.models.GPRegression(X2, y, kern) \n", "\n", "model.optimize()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Warning: Unusual choice of rank, it should normally be less than the output_dim.\n" ] } ], "prompt_number": 55 }, { "cell_type": "code", "collapsed": false, "input": [ "for sex in range(2):\n", " for event in range(3):\n", " model.plot(fignum=1,fixed_inputs=[(1, sex), (2, event)])\n", "xlabel('years')\n", "ylabel('time/s')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 56, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEKCAYAAADzQPVvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nnjHGZOB/ROcc41l4jyAAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 56 }, { "cell_type": "code", "collapsed": false, "input": [ "print model" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Log-likelihood: -1.227e+02\n", "\n", " Name | Value | Constraints | Ties | prior \n", "----------------------------------------------------------------------------------------------------------------------\n", " [rbf**[coregion**coregion]]_rbf_variance | 0.0569 | (+ve) | | \n", " [rbf**[coregion**coregion]]_rbf_lengthscale | 64.1311 | (+ve) | | \n", " [rbf**[coregion**coregion]]_[coregion**coregion]_coregion_W0_0 | 3.8627 | | | \n", " [rbf**[coregion**coregion]]_[coregion**coregion]_coregion_W1_0 | 10.1701 | | | \n", " [rbf**[coregion**coregion]]_[coregion**coregion]_coregion_kappa_0 | 0.0000 | (+ve) | | \n", " [rbf**[coregion**coregion]]_[coregion**coregion]_coregion_kappa_1 | 0.0003 | (+ve) | | \n", " [rbf**[coregion**coregion]]_[coregion**coregion]_coregion_W0_0 | 2.2605 | | | \n", " [rbf**[coregion**coregion]]_[coregion**coregion]_coregion_W1_0 | 6.0397 | | | \n", " [rbf**[coregion**coregion]]_[coregion**coregion]_coregion_W2_0 | 16.3359 | | | \n", " [rbf**[coregion**coregion]]_[coregion**coregion]_coregion_kappa_0 | 0.0000 | (+ve) | | \n", " [rbf**[coregion**coregion]]_[coregion**coregion]_coregion_kappa_1 | 0.0000 | (+ve) | | \n", " [rbf**[coregion**coregion]]_[coregion**coregion]_coregion_kappa_2 | 0.0001 | (+ve) | | \n", " [bias**[coregion**coregion]]_bias_variance | 0.1747 | (+ve) | | \n", " [bias**[coregion**coregion]]_[coregion**coregion]_coregion_W0_0 | 8.2086 | | | \n", " [bias**[coregion**coregion]]_[coregion**coregion]_coregion_W1_0 | 8.5122 | | | \n", " [bias**[coregion**coregion]]_[coregion**coregion]_coregion_kappa_0 | 0.0001 | (+ve) | | \n", " [bias**[coregion**coregion]]_[coregion**coregion]_coregion_kappa_1 | 0.0001 | (+ve) | | \n", " [bias**[coregion**coregion]]_[coregion**coregion]_coregion_W0_0 | -2.7634 | | | \n", " [bias**[coregion**coregion]]_[coregion**coregion]_coregion_W1_0 | -5.4293 | | | \n", " [bias**[coregion**coregion]]_[coregion**coregion]_coregion_W2_0 | -11.8668 | | | \n", " [bias**[coregion**coregion]]_[coregion**coregion]_coregion_kappa_0 | 0.0000 | (+ve) | | \n", " [bias**[coregion**coregion]]_[coregion**coregion]_coregion_kappa_1 | 0.0000 | (+ve) | | \n", " [bias**[coregion**coregion]]_[coregion**coregion]_coregion_kappa_2 | 0.0000 | (+ve) | | \n", " noise_variance | 0.2881 | (+ve) | | \n", "\n" ] } ], "prompt_number": 45 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "2 Low Rank Approximations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the worst case, inference in a Gaussian process is $\\mathcal{O}(n^3)$ computational complexity and $\\mathcal{O}(n^2)$ storage. For efficient inference in larger data sets we need to consider approximations. One approach is low rank approximation of the covariance matrix (also known as sparse approximations or perhaps more accurately parsimonious approximations). We'll study these approximations by first creating a simple data set by sampling from a GP." ] }, { "cell_type": "code", "collapsed": false, "input": [ "X = np.sort(np.random.rand(50,1)*12,0)\n", "k = GPy.kern.rbf(1)\n", "K = k.K(X)\n", "K+= np.eye(50)*0.01 # add some independence (noise) to K\n", "y = np.random.multivariate_normal(np.zeros(50), K).reshape(50,1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 58 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Build a straightforward GP model of our simulation. We\u2019ll also plot the posterior of $f$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "m = GPy.models.GPRegression(X,y)\n", "m.optimize()\n", "m.plot()\n", "mu, var = m._raw_predict(X) # this fetches the posterior of f\n", "pb.vlines(X[:,0], mu[:,0]-2.*np.sqrt(var[:,0]), mu[:,0]+2.*np.sqrt(var[:,0]),color='r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 59, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAW0AAAD8CAYAAAC8TPVwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAa2VC2iToR72AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 59 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Exercise 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One thought that occurs is as follows. Do we need all the data to create this posterior estimate? Are any of the data points redundant? What happens to the model if you remove some data?\n", "\n", "*Hint:* \n", "`X2 = np.delete(X,range(8),0)`\n", "`y2 = np.delete(y,range(8),0)`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Exercise 2 answer here" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Building the Low Rank Approximation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we\u2019ll consider a GP that uses a low rank approximation to fit the data." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Z = np.random.rand(3,1)*12\n", "m = GPy.models.SparseGPRegression(X,y,Z=Z)\n", "print m" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Log-likelihood: -9.210e+01\n", "\n", " Name | Value | Constraints | Ties | prior \n", "------------------------------------------------------------------\n", " iip_0_0 | 5.7629 | | | \n", " iip_1_0 | 7.8221 | | | \n", " iip_2_0 | 11.6305 | | | \n", " rbf_variance | 1.0000 | (+ve) | | \n", " rbf_lengthscale | 1.0000 | (+ve) | | \n", " noise_variance | 1.0000 | (+ve) | | \n", "\n" ] } ], "prompt_number": 62 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In GPy, the sparse inputs $\\mathbf{Z}$ are abbreviated 'iip' , for inducing input. Plot the posterior\n", "of $u$ in the same manner as for the full GP:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mu, var = m._raw_predict(Z) \n", "pb.vlines(Z[:,0], mu[:,0]-2.*np.sqrt(var[:,0]), mu[:,0]+2.*np.sqrt(var[:,0]),color='r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 63, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEACAYAAABfxaZOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAFjkfwCc/86JR2D9bQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 63 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Exercise 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "a) Optimise and plot the model. The inducing inputs are marked \u2013 how\n", "are they placed? You can move them around with e.g. `m['iip_2_0'] = 100` . What\n", "happens to the likelihood? What happens to the fit if you remove an input?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Exercise 3 a answer" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "b) How does the fit of the sparse compare with the full GP? Play around\n", "with the number of inducing inputs, the fit should improve as $M$ increases. How many\n", "inducing points are needed? What do you think happens in higher dimensions?" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "# Exercise 3 b answer" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Exercise 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Can you build a low rank Gaussian process with the intrinsic model of coregionalization? Do you have to treat the 2nd input (which specifies the event number) in a special way?" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "3 Non Gaussian Likelihoods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Gaussian processes model functions. If our observation is a corrupted version of this function and the corruption process is *also* Gaussian, it is trivial to account for this. However, there are many circumstances where our observation may be non Gaussian. In these cases we need to turn to approximate inference techniques. As a simple illustration, we'll use a dataset of binary observations of the language that is spoken in different regions of East-Timor. First we will load the data and a couple of libraries to visualize it." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "import numpy as np\n", "import GPy\n", "import pylab as pb\n", "from matplotlib.patches import Polygon\n", "from matplotlib.collections import PatchCollection\n", "import cPickle as pickle\n", "import urllib\n", "\n", "urllib.urlretrieve('http://staffwww.dcs.sheffield.ac.uk/people/M.Zwiessele/gpss/lab2/EastTimor.pickle', 'EastTimor2.pickle')\n", "\n", "#Load the data\n", "with open(\"./EastTimor2.pickle\",\"rb\") as f:\n", " X,y,polygons = pickle.load(f)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "/usr/lib/pymodules/python2.7/mpl_toolkits/__init__.py:2: UserWarning: Module GPy was already imported from /home/neil/SheffieldML/GPy/GPy/__init__.pyc, but /home/neil/.local/lib/python2.7/site-packages is being added to sys.path\n", " __import__('pkg_resources').declare_namespace(__name__)\n", "/usr/lib/pymodules/python2.7/mpl_toolkits/__init__.py:2: UserWarning: Module dap was already imported from None, but /usr/lib/python2.7/dist-packages is being added to sys.path\n", " __import__('pkg_resources').declare_namespace(__name__)\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will create a map of East Timor and, using GPy, plot the data on top of it. \n", "A classification model can be defined in a similar way to the regression model, but now using `GPy.models.GPClassification`. However, once we've define the model, we also need to update the approximation to the likelihood. This runs the Expectation propagation updates." ] }, { "cell_type": "code", "collapsed": false, "input": [ "#Visualize a map of East-Timor\n", "fig = pb.figure()\n", "ax = fig.add_subplot(111)\n", "for p in polygons:\n", " ax.add_collection(PatchCollection([Polygon(p)],facecolor=\"#F4A460\"))\n", "ax.set_xlim(124.,127.5)\n", "ax.set_ylim(-9.6,-8.1)\n", "ax.set_xlabel(\"longitude\")\n", "ax.set_ylabel(\"latitude\")\n", "\n", "#Define the model\n", "kern = GPy.kern.rbf(2)\n", "m = GPy.models.GPClassification(X,y, kernel=kern)\n", "m.update_likelihood_approximation() #Unlike regression we need to add this step.\n", "print m\n", "m.plot(ax=ax)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Log-likelihood: -4.370e+01\n", "\n", " Name | Value | Constraints | Ties | prior \n", "-----------------------------------------------------------------\n", " rbf_variance | 1.0000 | (+ve) | | \n", " rbf_lengthscale | 1.0000 | (+ve) | | \n", "\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "/home/neil/SheffieldML/GPy/GPy/likelihoods/noise_models/noise_distributions.py:422: UserWarning: Predictive quantiles are only computed when sampling.\n", " warnings.warn(\"Predictive quantiles are only computed when sampling.\")\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ "(,\n", " )" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAELCAYAAADZW/HeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmavICkFGRkZGBoD/B4FwGzvEriyxAAAAAElFTkSuQmCC\n", "text": [ "" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Log-likelihood: -4.370e+01\n", "\n", " Name | Value | Constraints | Ties | prior \n", "-----------------------------------------------------------------\n", " rbf_variance | 1.0000 | (+ve) | | \n", " rbf_lengthscale | 1.0000 | (+ve) | | \n", "\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "(,\n", " )" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAELCAYAAADZW/HeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqzcAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The decision boundary should be quite poor! However we haven't optimized the model. Try the following:\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "m.update_likelihood_approximation() #Unlike regression we need to add this step.\n", "m.optimize()\n", "print m\n", "m.plot()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Log-likelihood: -2.780e+01\n", "\n", " Name | Value | Constraints | Ties | prior \n", "-----------------------------------------------------------------\n", " rbf_variance | 4.1597 | (+ve) | | \n", " rbf_lengthscale | 0.3264 | (+ve) | | \n", "\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 6, "text": [ "(,\n", " )" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The optimization is based on the likelihood approximation that was made after we constructed the model. However, because we've now changed the model parameters the quality of that approximation has now probably deteriorated. To improve the model we should iterate between updating the Expectation propagation approximation and optimizing the model parameters. " ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Exercise 5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Write a for loop to optimize the model by iterating between EP and kernel parameters optimization. What happens with the decision boundary after these iterations?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Exercise 5 answer here" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Robust Regression: A Running Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yesterday we considered the olympic marathon data. In 1904 we noted there was an outlier example. Today we'll see if we can deal with that outlier by considering a non-Gaussian likelihood. Noise sampled from a Student-$t$ density is heavier tailed than that sampled from a Gaussian. However, it cannot be trivially assimilated into the Gaussian process. Below we use the *Laplace approximation* to incorporate this noise model." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# redownload the marathon data from yesterday and plot\n", "GPy.util.datasets.authorize_download = lambda x: True # prevents requesting authorization for download.\n", "data = GPy.util.datasets.olympic_marathon_men()\n", "X = data['X']\n", "Y = data['Y']\n", "\n", "pb.plot(X, Y, 'bx')\n", "pb.xlabel('year')\n", "pb.ylabel('marathon pace min/km')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 7, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAYsAAAEKCAYAAADjDHn2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "GPy.likelihoods.noise_model_constructors.student_t?" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "GPy.models.GPRegression?" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "code", "collapsed": false, "input": [ "# make a student t likelihood with standard parameters\n", "t_distribution = GPy.likelihoods.noise_model_constructors.student_t(deg_free=5, sigma2=2)\n", "stu_t_likelihood = GPy.likelihoods.Laplace(Y.copy(), t_distribution)\n", "\n", "kern = GPy.kern.rbf(1, lengthscale=10) + GPy.kern.bias(1)\n", "model = GPy.models.GPRegression(X, Y, kernel=kern, likelihood=stu_t_likelihood)\n", "model.constrain_positive('t_noise')\n", "\n", "model.optimize()\n", "model.plot()\n", "#model.log_likelihood()\n", "print model" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Log-likelihood: -5.101e+00\n", "\n", " Name | Value | Constraints | Ties | prior \n", "------------------------------------------------------------------\n", " rbf_variance | 0.1713 | (+ve) | | \n", " rbf_lengthscale | 11.3743 | (+ve) | | \n", " bias_variance | 3.8884 | (+ve) | | \n", " t_noise_std2 | 0.0091 | (+ve) | | \n", "\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "/home/neil/SheffieldML/GPy/GPy/likelihoods/laplace.py:400: UserWarning: Not perfect f_hat fit difference: 0.0416770535003\n", " warnings.warn(\"Not perfect f_hat fit difference: {}\".format(difference))\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAD5CAYAAAA+0W6bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Exercise 6" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare this model with a regression model using a Gaussian likelihood. What difference do you notice in the predictions? Which model do you think is better?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Exercise 6 answer" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "4\n", "Sparse GP Classification" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this section we'll combine expectation propagation with the low rank approximation to build a simple image classificationa pplication. For this toy example we'll classify whether or not the subject of the image is wearing glasses.\n", "correspond to whether the subject of the image is wearing glasses.\n", "Set up the ipython environment and download the data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import urllib\n", "from scipy import io\n", "import pylab as pb\n", "import numpy as np\n", "import pylab as pb\n", "import GPy\n", "urllib.urlretrieve('http://www.cs.nyu.edu/~roweis/data/olivettifaces.mat', 'faces.mat')\n", "face_data = io.loadmat('faces.mat')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here\u2019s a simple way to visualise the data. Each pixel in the image will become an input\n", "to the GP." ] }, { "cell_type": "code", "collapsed": false, "input": [ "faces = face_data['faces'].T\n", "pb.imshow(faces[120].reshape(64,64,order='F'),\n", "interpolation='nearest',cmap=pb.cm.gray)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAP0AAAD7CAYAAAChbJLhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnf9zVdX1/leQWJVWCwo3kFASIQGCIQlGsY6OXzBYq6Qw\nOFTHoRmkTqedOsVOh+I/IDd1pha//NShTMbOoPxEU0epZACrWKUKEb9Qw2iCCSZR5IsFpYFw3z84\n93ye8yT3ybkhN5ePZ71+4Vz2PWfvs8/ZuevZa+21C1KpVMocx4kN4/LdAMdxxhYf9I4TM3zQO07M\n8EHvODHDB73jxAwf9I4TM85r0G/bts3mzJlj5eXl1tTUNFptchwnhxSM1E8/MDBgs2fPttbWVisu\nLrbrrrvONm/ebHPnzh3tNjqOM4qMH+mJe/bssVmzZllpaamZmd133332t7/9LTToCwoKzruBjuOM\njEy/5yMe9IcPH7bp06cHn0tKSuzNN98c9L2amhrr7e21uXPnWllZmZWVlZmZ2bRp04LvXHzxxaFz\nxo37f6rjO9/5Tqjse9/7XnB80UUXhcrw81BlGzdutNWrV1thYWHG+rgt+IeLy7CO8ePHZywbij/+\n8Y/229/+dlBb8Dr8RxOvOTAwECo7e/ZscIz3Y2Z25syZjNc8e/Zs0Ba+B3xpuL6ocD9g/djmdB1/\n+tOfbM2aNYPuob+/PzjmMoSvGfUeuOziiy+2p556yh5++OFQ3WZmp06dynidc+fOZWzL119/HRzz\nNbHsv//9b6jszJkz9sILL9g999wzqO70+3Pw4EFrb28P/v8f//hHxjaOeNBH/RWvqamxtrY2u/32\n20daleM4w1BeXh78oJrlaNAXFxdbV1dX8Lmrq8tKSkoGfe/SSy8d9AtiFv7Lyn+58a8lg2V8Hn4e\n6pd+3Lhxwb9Rz8P6uEz94iiwLQq+vpp+we+qXzR1DS4b6a87MloSL2pf8z3873//C45Vf6vrR+13\ns3Cfcf/hu8RlaI1xWX9/vw0MDFh/f/+g/lRWXMY2R/rWENTV1dnBgwets7PT+vv77fnnn7eGhoYh\nv4umfD5ZsGBBvpsQ8MMf/jDfTQi4kNpyww035LsJAddff32+mxAwa9asUbvWiH/px48fb08//bTd\neeedNjAwYKtXr844c19cXDziBo4mF9Kgv/HGG/PdhAAf9EOzcOHCfDchoLy8fNSuNeJBb2Z21113\n2V133SW/k56U4EkwRJnz6rtszuBnNuVQYqiJPGXmKfOQTUBlEkadUFLmmjLFuUxNno10sk71xUjl\nBfY9muXDnaf6CZ87X0M9d3zPVH9m85zxPH7no/YZ14f3d/r06YzXQDwiz3Fihg96x4kZPugdJ2ac\nl6aPwokTJ8xscDACahPWmUO5+NIoF1rUYBkuU3MBqPW4nZmuz+1Uel9pc+4zFbiDqHaydkTtzIFQ\nw7kUM10TUfeXzRwCXmeoAKM0rJXxu3wePls+D/ua+/OSSy7JWIZ18P2pe8AyNcelXHZRn5f/0jtO\nzPBB7zgxI+fm/cmTJ4f9DrtnEBU9x25ANLtUnDyDppyqj0HTjs08dAuqyCw25aK6Bfk8LFPyCM1B\nbls2EYbKRYiwRFHSA9vG38PPLEOims1cpqQi9iHXp2QJPnd+RsrdrK6P9859jWU5j8hzHOf/T3zQ\nO07M8EHvODEj55o+rWNYZ6pVYahTOGT2u9/97pDHXAfrU7xONiGzeB3lfuIQyAkTJmRsC16HNXam\nus3Ccx/ZuHUy1W2mw6OVXlTrxqOep9xP/L7w3ACCepzfF0S57NRcgKqP7x37k9uC937FFVeEynCd\nvGoL14d9FnVOxn/pHSdm+KB3nJiRc/M+bXIo1xSbUsp8QvcJu/qU+YvmIpu0yhxldw2C5j2mO+L6\nMcXXcChzLapLhiWDWmmmIrpGat6rxA7KVMX7ZXMer6MSV2SDWvWGbeP+VKsBv/zyy+CY+1NFW+J7\nptyH3BaVmCMT/kvvODHDB73jxAwf9I4TM8ZM07NOUeGRCOsU1M5qZZvKIsKuFNRJrJkwtFdl3GFN\nj5/5/vA6KuyXdZ9yySj3kwoXxv5Vz0iFlLKuVW45dU1smwolVnM5amVbNv2JbeH6lItQuWCV5lYp\nzKMm7Yyagcp/6R0nZvigd5yYkXPzPm22KHcQo1win3/+eXB86aWXhsrUyi+sT+Uc591FVPIN5Kuv\nvgp9RrNvypQpGcs4MgvlhNodJpsc7koyqKQWytWnXG8orZTbik1/ZaYrNy5KqePHj1sm+F1SbkC1\nW9JIk66g+a0SpKiEmtlEDmbCf+kdJ2b4oHecmOGD3nFixpi57Jioif+H2tcrDep7s3C4qwoNVW6d\no0ePZmxLNvMSqNGOHTsWKrvsssuGPDYzKyoqCo5Z72OoJrsklcsOUeG0aq6DURobnxFfA3U1n4fz\nInx/Sruqa+LqNW4L9qdyd/HcEb5n3J84J8P3oOpQ72fUZKKeOcdxnCEZdtA/+OCDlkgkrKqqKvi/\no0ePWn19vVVUVNjixYvljKnjOBcWw5r3q1atsocffth+9rOfBf+XTCatvr7e1q5da01NTZZMJi2Z\nTA55ftoM5MilqCu/2ETCsr6+vozX5JVtaMpdfvnloTI0o3H7ba5/5syZoTJcUfXhhx+GynAlH5p8\nZnr/OEwMwmX4x/XTTz8NlaFpzMlFUELwc5g0aVJwjKawWdgVxhGHaPKy2XrkyJGM94B9we5RrJ9d\noMrVh+8E97WSWWofOOxrvmYikQiO+T3D5CncLyhDVOJWlUh1pJGtyLC/9DfffLNNnDgx9H8tLS3W\n2NhoZmaNjY22devWSJU5jpN/RjSR19fXF/y1SyQSg35xkY8//tjMzLZt22azZs0a1X22Hcf5hs7O\nTjt06FCk75737H1BQYE0K66++mozM/vRj350vlU5jpOB0tJSKysrCz6/8sorGb87okGfSCSst7fX\nioqKrKenZ1CYKZJ2JbHrDjUh6yncIIO1JGpS1oRYx+TJk0NlqItYT6Eu+v73vx8qQ53JLkL83Nvb\nGypDTapWSbF2TVtGZmG9bab7jOtHKisrg2PuF+xfDjPGuQDOIITzGXhsZvbOO+9kbCe6JFmfqrkc\nbKfasIOviXqcz1Ph0NhOlTmHy/idRFDT8zuB7wG/n2ruAe83p6vsGhoarLm52czMmpubbenSpSO5\njOM4eWDYQX///ffbjTfeaB9++KFNnz7dNm3aZOvWrbPt27dbRUWF7dixw9atWzcWbXUcZxQY1rzf\nvHnzkP/f2toaqYK0CcXmIZpF7EpB815FdLEpjq4iNlXRtcJlGMXFUmX69OnBcXrb7TRffPFFcKwS\nV6jINnahofnG0gZN1WnTpmVs50cffRQq6+7uDo5LSkpCZeiZ4XZG3XfuX//6V6gMJQQ/d4zWU7ns\nlRuX2xk1cpBB95paLcduuZEmvFB7KKj9DdXeBPhO+lbVjuMMiQ96x4kZPugdJ2bkfJVdWj+zfsPV\nbKyHi4uLg2N2B6H+Z/2E4bUcOqn2GEN4HQHOIfA9oAtN7U2mMr2wbkdNz7oP5yJYv6FWT8dGpHnr\nrbcy1odzGHx/qi0YCMJtwTBVnJ8xC2tQzmSDdXA7sYznJfAeOJQYnyeHX+M7wXMP/P4gahUhXpNX\nUKI7j1dzqiSr+G7xeXh/PM+TCf+ld5yY4YPecWJGzs37tCmNbiOzsJkye/bsUBmaMxzhhKYPm2Ro\nTrE5iu48viZKCDafVP58LGMzFstUQg82jdWW2ngdrg+vw0kf8Lvt7e2hshkzZgTHLLPQVOa2fPbZ\nZ8Exur7MwqYx9rtZ2BxVUXdqdSVLKbx3NqnxfvnZ4mrEq666KlSGUX7sMlOJMfH5sURAWaCSZvI1\nUdLy4jeM5OOVl5nwX3rHiRk+6B0nZvigd5yYkXNNn9ZNnM1Frf1FzcQhs6ivWLuiC4hXnaGu5dVy\nCIfa4me1oYXSoFFDMxnOoKLuAdsyderUUBm6qnguADUva3Oc+2D3GvYvn4f9hKHKZuH+5LZgHVyG\nephdWrgykfUwziGwjsbvcqgtvlus9/G7/A6qRJw4L8J9hvfLrlNsN98fLqfl7E2Z8F96x4kZPugd\nJ2bk3LyfM2eOmQ02n9DkVJl32JxBmcDmGpp57JZD85vdSOgC4sQVnZ2dwTFHe0XNcc73jnUoU47B\nMpYaBw8eDI55pSCa2Ozywf7kiDV8LhypiO5SdudhP/FzQFcfR0bidfi5Yx+yWw4lknK5qmfEcglN\nem4L3gOb/nhNdtnhc2HZqvZJxH7h76GE4EjFTPgvvePEDB/0jhMzfNA7TszIuaZPa0/eRAK1F2sf\n1JIcAomfWb+hG4ndJWoXHlyVxroWs9BwO1UGFdSrrPtQ27FrCu+J5xBURhr8bkdHR6gM9SrfH/YL\n9zXeA7tccV6Cn4NKDonXYX2K8xvcFnTT4SpMbqfKxsOaHucGuOzKK6/MWN8nn3wSHOOcj1l4zoQz\nQqFLkt2q6J5Vblye/8I+VP2O+C+948QMH/SOEzNybt6nzXo0iczC5je7YNBkYTMP3WscsaZWxOFq\nMgZNXl7BNX/+/OCYo8vQbab2bONc82qrarx3TiCCpismqjALm4QcjYhtufXWW0NluMKRXWgoGThS\nUbUTnxnLCTTveVUY9iFLKTyP+wylBpvG6J5VMpIj69KuZrPBzw9haaOiNPF9QbefWdglyc8ham57\nlSAU8V96x4kZPugdJ2b4oHecmJFzTZ92tbAextVBHHqKmoZXI6nkkKj1stm3TM0h1NbWBses31Cj\ncSgqakS+P/zMOhPvgd1PeL/cTtSEbW1toTLcl+0HP/hBqAz1MLuDsG1cH7qmuJ3Yn9zX+Fz42ark\npXh/HEqMLtCKiopQGborOdQWnxnPPeA1+fmhC5Y3XFGbVqDLjlct4r2rTSu4Ldj3vtmF4zhDMuyg\n7+rqsttuu83mzZtn11xzjT355JNm9s2vXn19vVVUVNjixYtl8IvjOBcOw5r3hYWF9sQTT1hNTY2d\nPHnSrr32Wquvr7dNmzZZfX29rV271pqamiyZTFoymRx0ftpsYlMHzSd2dyHsSkEziM1DNAFVUgtu\nC5qSbCJh/RilZRY2XdlcQ3cXR92pbazRNcX3jrDbCpk5c2boM5r0fO9o0rN5ryIj0fRncxvbzZGD\n6ELj/sR+UnsRqoQX2STDwPtjeYbvBEtFfHd5tSPeL5+HUYUcbYn3q9xyaq8AHg+ZGPaXvqioyGpq\naszsmxdy7ty5dvjwYWtpabHGxkYzM2tsbLStW7dGqtBxnPyS1UReZ2en7du3zxYuXGh9fX1BgEgi\nkbC+vr4hz3n77bfNzKyvr88mTJgwKIbbcZzzp7Oz0w4fPhzpu5EH/cmTJ2358uW2YcOGQSZUQUFB\nxkQY1157rZlFjxZyHCd7SktLrbKyMvistpKPNOjPnDljy5cvt5UrV9rSpUvN7Jtf997eXisqKrKe\nnp5B2VrSpF1CuH+6WVh7sabHz+xKQc3Nugj1G+th1FPKNcXaDmH9jTqMXSlYB+tanAtgPaz2NMNr\nsh5WGX6wr9UmC2ofdNbY2L/8Bx2fEd876k4O38W+4OeHcxjszsN+4pVt2G4+T7kIsYzfF9TVrOmx\nfj5P3QOi5gL4+WF/qmsiw2r6VCplq1evtsrKSluzZk3w/w0NDdbc3GxmZs3NzcEfA8dxLmyG/aXf\nvXu3/fWvf7X58+cHgSrr16+3devW2YoVK2zjxo1WWlpqW7ZsyXljHcc5f4Yd9DfddFNGF4LSDWnS\npiVHgqHZxeY9uyUQNhcRjE7iNqO5yKYqmtRs3qukhFgfyxCM1OK2oPnLJi66GtlcY5cTgklKOPoR\nzUOViJNdPlG3ZOZ+wdVzvBow0zXMws+BIxWxP3lOCd8Xfpfw/lQCVu5r5UbGdvK9Y7uV5FPuNZZn\nqp1RTXrEI/IcJ2b4oHecmOGD3nFiRs5X2aW1tMpcw1oL9RTrIhWuiBqU3Wuo6VlLom5nTY9tY92u\n9qvDe+DVXZjAkLUy1sduUAxswoSdXAe7u/CeVLyE2utNbcLBG4TgPAW7tLAP1UYmasUYPyOc51Gh\nxNlkWsLzWDfjs1YrPbnPsH4Oo8YyNU/AbVbzLpnwX3rHiRk+6B0nZoxZEg1OLoimCJtIaLazuYam\nHZuxeB67plSEHMJtUe48NMk4ek6ZXWj2KbccR91hMkVO6IEmNruDlFsH+yybfOvYT2yqopuOc7Gj\nO4rlEj4XTk6BkkyZsSqiUiUsUdGICrXfgfoum/D4TvD7iffLS9iVOzZjOyJ9y3Gcbw0+6B0nZvig\nd5yYkXNNn9YZyvXGOgy/yy4K5UpBLcsaDfW32hed9SKGeLJmwkwvrOkRdi2ibmdthzqX9RvuQc/n\nYZgz60yV4BJR8ydchrqTcySgm47nFzDvAt8fXofbiRqf513wHeEQVvysXJI8v6A2wkC4r/Ezl2Gf\nqX3m1buknpEnxnQcZ0h80DtOzMi5eZ82Y9hkQXOKzV80wzCRolnYRGI3IJqEbB7iNXkVn1qJpcwu\nlAwqDRi7tFROfJQQHHWHZiy787Dd3BaUM9zXaB5yxBpek81RvCd2r6HsYbmECUTY7YjmvkpCyvIM\n3wk207EtavVmNvIT62cTXiUaxe9yv+CzjWqmm4XbrWRIqB2Rr+44zrcCH/SOEzN80DtOzMi5pk9r\nP6VvWGeq8Naenp7gmLUdhqKqrCy88gvrU8kvOWMLwjoM71eFarKWxL3leZMM1M7sPsS2sa5V7cT6\n1SYLatUi9wu2k11oWAevzkNNz3of74mfO7aF7wGTbXKWIrXvO35WGlvtN6jca2rveg7DVW5HfM95\nbiUT/kvvODHDB73jxIycm/fpaDA2yVQyDHRnsBsJV22dOHEi4zW5PhW1hfVzBBmaayrBhlqhxuB1\nMImkWThijRNhYr+wmYcmNksbtf8fwn2t9v/Da7JLEutQUXB8Hn5mVy1KATZjsd1sikddlcnnoazk\nZ4vXZPNeyVYsUwlKVV/zebii0VfZOY4zJD7oHSdm+KB3nJiRc02fDglFV5SZ2dy5c4Njdk2ha0Vt\nUMBhlajD2C2nstXgdVSiymzcOiqDC+p43u0Xw0859BWTX3IIMupVzhCDLiDW0fhdlR2H9T62jbUy\nanreeENlvUH3GrsdcUdWvoepU6cGxyqsmftTuSiVxsbPah5EbXbBGYVUOC2+r7xpDL5n7777rkXB\nf+kdJ2bIQX/69GlbuHCh1dTUWGVlpT366KNm9k3gRH19vVVUVNjixYsHrYt2HOfCRZr3l1xyie3c\nudMuu+wyO3v2rN1000322muvWUtLi9XX19vatWutqanJksmkJZPJIa9RWlpqZoNND3QxzZw5M2Mb\n2AxC9wWbT2p1F5q47IJBc40jpbBMJT5QZiVHgmE7cfWYWdg0ZkmEMoTN36guUI72UivGVNJMtdeb\n2qoaZZfqT76/WbNmBcfd3d0Z28l752EdyqXFcgyvyTISy5QbV63YVElJ2CWJ8oUjVPfu3TtkuxTD\nmvdp/dTf328DAwM2ceJEa2lpscbGRjMza2xstK1bt0aqzHGc/DPsRN65c+dswYIF9tFHH9kvf/lL\nmzdvnvX19QV/UROJxKDJKGTTpk1mZtbe3m7Tp0+36dOnj1LTHcdJc/DgQXv//fcjfXfYQT9u3Dhr\na2uzEydO2J133mk7d+4MlRcUFMgZ9lWrVpmZ2d///vdIDXIcJ3vKy8tD0obHKRLZZXfFFVfY3Xff\nbW+//bYlEgnr7e21oqIi6+npGbTnGpLWKqhLzAbrVQS/i24cM63bUf+zXlRJHlGPq73r2dWH2vXY\nsWOhMpzcZL2PepXbgqvL+Jqo91nzqpVgKjRUuSSV20qFSqssPnhP7FpE7cxzOTgHVFxcHCrDkF3u\naxwIKjyZ60N4nke9SyoxJn7mEOtp06YFxzzPgytL29vbM7aF+zMTUtMfOXIkeHm//vpr2759u9XW\n1lpDQ4M1NzebmVlzc7MtXbo0UmWO4+Qf+Uvf09NjjY2Ndu7cOTt37pytXLnSFi1aZLW1tbZixQrb\nuHGjlZaW2pYtW8aqvY7jnCdy0FdVVYVcAmkmTZpkra2tkSpIr4Rj0wNdN2ymd3R0BMdsHs6fPz84\nZrNLSQa1VXXUqDQ2cdEVx1GFWAffO16HIwdxUpRdTOi2YlcYmsZqK2e1GpDNdDSV2WzGvleJRlkS\nYf9yZB2atbhvH3/mdwJdXOzSOnToUHDMyT7wneAIR5SY/H7ic+H61D6MahUo9tkHH3wQKuvq6gqO\nWcbhMxs1l53jON8ufNA7TszwQe84MWPM9rJjzau0D2pgdqVs3rw5OGa3R3V1dXCMLhCzsK5lfYq6\njLPqYLuVrlWr7Pg81PEcoov184YPqEmVO4jrQ1Q2F9anKswY753nVvC7PL+AOpr7DO+Pnzuu1ssm\nxBrr4ExL6D5E3WwW1sr8fqK7VLlKea4D5wL4HvA6PAeEZdzXKrQ3E/5L7zgxwwe948SMnJv3aVOI\nzUO1UgnNGV5xhKYV50ZH9yK7PdA9xMkh0b3G5ppavaYi1tBMZ5MTzXtelozX4WhENGPZlMPzuK/R\nVOW+RnORXYQq6g5NV3Y7YpnaR4BNVSxjExfviSMV0YXH/YLPlt1kam857Cc+DyUZSyL8LrsW8bN6\nl/gZYd9zO7GMo0kz4b/0jhMzfNA7TszwQe84MSPnmj6tn1WiQwXrU3T5cBin2kcM9Q5fEz8rlw/r\nWvysNi9g1w1qWbX3GidIVG5Atfc6am7W36gRWWMjKjMQ60z8zPpU7SmIbjrlCuO5HEStNFMuNA7N\nVi5ebBufp8D3RSXU5DJsJ7dFvdeZ8F96x4kZPugdJ2aMWUQeu8nQDFNJClSOej5PmacIm44qf73a\nxlolT1T7lmEZu3Wwn9See2xWKpcdyiA2t1WZSr6h9hRUe+ChSc/n4f2qhJpqm2d+X5Bs9urD58mS\nQeX8x/PYhabcclHz7EfN1a/wX3rHiRk+6B0nZvigd5yYkXNNz7otDWov1ryo59gdpDYvUJleMtVt\nFnbvqb3WlNZi/YZzAzyfodyOqPV45ReuNOO5B6yD9TC6S3kOAfUqtxPvj+cXsC0cFouam8NUcS6A\nVxii5matjOHYKsEl9wvOS/AzwueuMgop1HNXmYgYfO5Kt6vVnJ45x3GcIfFB7zgxY8zMezZ1lGmM\nZhCfh+aNMnXU/mNsHkbNVc7tVGa6WhGHJjab4thONpsPHDgQHHMSUOyLsrKyUNmkSZOCY04OiVKH\nXVPYbjbFUbZxwguMmOMy/MyuN+wL3pIZ283vBPYnr8rE56f2O1DJRVQZEzXhBV9D7T+AMlbVHVWi\n+C+948QMH/SOEzN80DtOzMi5pk9nsGGthWSzvxrqJNZo+Jl1H+p9DoFUmxCgbmc9jBqYyxBeYYj1\nKzdSRUVFqAw1Pu8UjJ9ZS+JGDvwc1L1jH6rNGTj7TyY3LV+H3XK4wpD3R8T+ZbcqztHw3ArWwecp\nTY+o+SieO8L+VOdxGfYLv59YBz8HvCcVgoz4L73jxIxIg35gYMBqa2ttyZIlZvbN7Gx9fb1VVFTY\n4sWLB/2ldxznwiWSeb9hwwarrKwM3C3JZNLq6+tt7dq11tTUZMlk0pLJ5JDnps1ONp/Q7FKmFZss\nGOHF5iGaxhxdhmYQu8nQTFer3lSZSgAZdRtpPo+3LJ45c2Zw3N3dnfE6HAWHWx2zGxD7jNuJfc+y\nAE1QToaB/ct9hnWwKY6uRX5GaMKrbcgZfLb8vqAMUgknGbXHQNSVbtzXKpmJ2k9RRQBmYthf+u7u\nbnvxxRft5z//edC5LS0t1tjYaGZmjY2NtnXr1kiVOY6Tf4b9pX/kkUfs8ccfDwVn9PX1WSKRMDOz\nRCIxaFIJeeutt8zsm1/FGTNm2IwZM863zY7jEB0dHdbZ2Rnpu3LQv/DCCzZlyhSrra21Xbt2Dfmd\ngoICuZ1OXV2dmQ3eCthxnNGjrKzMSktLg8+ZxqvZMIP+9ddft5aWFnvxxRft9OnT9uWXX9rKlSst\nkUhYb2+vFRUVWU9PzyD3CpLWPyrkUiXpV24k1jB4TdaEqLVY2+F3WbuiJuV2oqZXWWe4TGUGUuDe\nfVVVVaEydAuihjcLh76ydsW9+viPt0o0iqGh7K7Ez/wcsO/V6kM+D/tebfTBeyYqTY9lfE2cF+F5\nF3zvOKRb6Wq1P55KzoplXF/UOQREavrHHnvMurq6rKOjw5577jm7/fbb7dlnn7WGhgZrbm42M7Pm\n5mZbunRp1hU7jpMfsvLTp/86rVu3zrZv324VFRW2Y8cOW7duXU4a5zjO6BM5Iu+WW26xW265xcy+\nca20trZmVZEye9ScAJvUKh85mkXsEsHzeDWZKkOTkNupkmYqlOmPdXAZto2j9XDO5MiRI6EyTMbx\n+eefh8o+++yz4Jhdb9j3Kre92v9PlSnXm0peqp4DuwExmo3Pi/rM1L5zyuXK77xKAKOiUNUqUDT3\n1d4HoetF+pbjON8afNA7TszwQe84MSPnq+zSZKPp8TPrPqWZ8LPKqsPnoW5X4ZHsXkM3JGst/C6f\nh21hV6Zy4anNElDLFhUVhcpU8kusj8N3sZ/YhYauMX5GWB/PkWD/qqSnrGvVvvZ4TZ7nwe+qFWr8\nDmIZa2U194B9pja0UO8895k6T73zmfBfeseJGT7oHSdmjJl5n80qJkRFiSmTOpuVeyoiUJlryrRS\nLiYlC9BtxivUEL6mivLD60ydOjVUhvVz8gt2KyFogqr+VFt/q2QRqj+ZqNs1s3xRK9TUqje8d65P\nvS/4WT2/bLajjprrHvFfeseJGT7oHSdm+KB3nJiRc02f1jhK1/LqJ4TnAlD78IojdCupjQZYL0ZN\nkMjn4T0pbcfaOKp+4yw3ag4hqpZkdxBmq+F7xxwK/ByUewivw+dhGV9Dud7Uc1EbWmC/sOsN62CX\nJF6T3yV8nirpqdoXcaR70qnQc9/LznGcIfFB7zgxI+fmfdqMYbMETS02f9EFpMxIPg9lApuxaDZn\nEymlVsTxAjdjAAAQeklEQVRF3ZZYmfdcptqJ98R7xKm24Gc2VZVkUNFz2G61FyE/BxXhqFxTSr6g\nmzObFZsqySq6Ofne1WpOlXhE7WUX1Z3HklY9h0z4L73jxAwf9I4TM3zQO07MGLMwXOWyU/qN9ZTK\nnKO0jwr7xbaorCVKa6mQ0myypKAmZI2GOl5t8MBgP3EoKtbP10TNnc1+bkpXK/A6rHlVSDCep+Zr\neH4hKvwOov7ndio3Hb+TCN6felfV/EnUfvdfeseJGT7oHSdm5G2VHZqOvAEmmmEqEkwlvFCr89Q2\n1l988UWoTJlkKAvYFYZuJE44iaYcXx+TYXAZ9oty+TBoirOcQNcU9ycm3OB74Pzymepjkxqvw88W\n+1DJJbXltIrk46SZeH98HkZDcr9gFJ56z5Qrmhnp88PPUXPg+y+948QMH/SOEzN80DtOzBgzTc+u\nBhU+iKu7eBUT6jLW5rjJA+/trrQ5umBYu+Jnrg/LsM1m4f3klLuJtTlqYG4z7hHHCS7xOqyjUffx\najK1Z5vaZEElKD116lRwzNof+4z7BetQcwZq5R6DGpv7DM/je8A+5HeCsw9lahvrdNVO5TpV18B2\n+yo7x3GGJNIvfWlpqV1++eV20UUXWWFhoe3Zs8eOHj1qP/3pT+3QoUNWWlpqW7ZsGbTjq+M4Fx6R\nBn1BQYHt2rUrlHAhmUxafX29rV271pqamiyZTFoymRx0btrkUHm+OSEjujbYBESzj01V/C670FS0\nEtbH2y4fOnQoOGYTEN17yi3HcLsRvA6vpEMJkU3CUOwLVTe7lK688sqMZUePHs3YTjTvVQQgtxNl\nFruf8LmoPPsTJ04MlWG7lUtL7bnHcgn7XiXmYDMdn0PUHPV8TbWvnooGRCKb93wDLS0t1tjYaGZm\njY2NtnXr1qiXchwnj0T+pb/jjjvsoosusl/84hf20EMPWV9fnyUSCTMzSyQS1tfXN+S5b731VnA8\ndepUmzZt2ig023Ec5NChQ/bxxx9H+m6kQb97926bOnWqff7551ZfX29z5swJlRcUFGQ0n+vq6sws\nuwUijuNkx4wZM0I/qLt378743UiDPu2imDx5si1btsz27NljiUTCent7raioyHp6emzKlClDnpvW\nIModxFoLtTJrn6h7dTNqFRNqLQ7VRJchu+WKi4uDYzVnwDoTr8naH0OSea5DhZsirHl7e3szluH+\n9KxPsYw33sA+5LagNlfZcbgtqNv5RwLnk7ivVeiySjipVrOp8F2E53LU9ZVbDu9JZWHivo4aeosM\nq+m/+uqrYKLm1KlT9vLLL1tVVZU1NDRYc3OzmZk1Nzfb0qVLs67ccZyxZ9hf+r6+Plu2bJmZffNX\n5YEHHrDFixdbXV2drVixwjZu3Bi47BzHufAZdtCXlZVZW1vboP+fNGmStba2Rq5IJTdgNxmao+wu\nUSuV0KxkUw7NJ5UbXZmVbEph29C9ZRY2Cfn+1MoovA6b/vhdZTpyFCPWz/MxaMLzc1Z54dE9xPn5\nVYINlFL8HLA/WdYp6YYyj9upXITYNtWf6t4V6nvcFvVOKGmKdXhEnuM4Q+KD3nFihg96x4kZOV9l\nl9Ztyk/POgVXQ3FWHYRX0imXiMq4g7CeQj3HawvUKi3UoFzGoakI6ly1kYLay45BV+N//vOfUBm6\n4oqKijK2hfU39hNvFKFcTKjpWe9jf6qwbZUxietTfYbzLirzkboH9Rz4PBVejnC/4LvM7cTvKvch\n4r/0jhMzfNA7TszIuXmfNtnY/MRoLDbl0Gz/9NNPQ2Vo7rP7js2iTPWxuwSvo67BbiNljuJqQI5m\nU3XgdViioEnI9473xGV4HiYaMTM7fPhwcMzPKGrOf5VolIma2JSfkdorgL+bqYzPU/eAn1mOYbu5\nr9Xzw+vweaot+PzYDYjvUqb1L4z/0jtOzPBB7zgxwwe948SMMUuMySgNgzrsqquuCpWhxudVWuhS\nU8kT1T7eKnSSNaHaSx6zyfB5qMNU6CTraLVnG36XNa7aG5BXDiKoJTkcGutXiTizWU2m2onzKSqZ\nKNcXNVFlNs9BrWxTcwjqGtjX2bgkUce3t7dnrC/UxkjfchznW4MPeseJGTk371WkWBo2n9Cc4Vzl\naMrhCjGzsGsMkzOa6Qg5NNPZLYfmmoq6U6umOKpQRfLhZ7W9N0dmqX5WCUOjupHU6kaVQISllHJp\nqW26lcuV7wnB90UllVTRj+o8hXIlcpvx/tQzUtuXf/LJJ9HaFelbjuN8a/BB7zgxwwe948SMnGv6\ntG5jLYIaVK1649VIKpNNd3d3cMwrxlDbcSYUdIVxO6NuSsCaF7PV8GYQCLumlHsG+4L3ekMdyH2m\nXH1K0+McCV9TuTaxz3gFHmp67mtsG88TYP1qDkFpc0atIhyp6w37MJu5ALVpBY4V7k/cV88z5ziO\nMyQ+6B0nZozZKjuFcqGpaD024TE6CfegMzP7wQ9+EBwrt5yK2lLmKIN1qMSYvIILk0yq1YC8ck8l\nmcA+ZDM9qmtKraTjsqguPLVSkJ+RiqLEe+C+xjL1vFTkIINt4T5D01y5OdmEVyvp1L3PmDEjOC4t\nLQ2OOzs7M57jv/SOEzN80DtOzPBB7zgx44LQ9KxBlWsD9Q5vMFFdXR0cv/nmm6Ey3EBD7YvOekq5\nmPC7SoexzsTQYl7lhhtVcIYd/C6HaqIG5j5H/c/uQ6Xb8R74GanVcnh/Iw15VpucsFbG6/C+c2rl\nHt6Tmjvi5x51dZ5yc3J9GDbO94fvJ7+7OAZuvvnm4Pi8Nf3x48ft3nvvtblz51plZaW9+eabdvTo\nUauvr7eKigpbvHixzFrrOM6FQ6RB/5vf/MZ+/OMf24EDB2z//v02Z84cSyaTVl9fb+3t7bZo0SJL\nJpO5bqvjOKNAQWqYjeNPnDhhtbW1gza8nzNnjr3yyivBltW33nrroJzqBQUFtnLlSjMbbCKpfdKU\nyYkurmuvvTZUhqYxt/ff//53cMwr9xKJRMYyvKbaslhtcc33jiYZm4do2vFW1RiFx64+fIxsAqJZ\nyeY9fmZzVJmx+Iz4FUJXKks1bAub8Goba1WmVuehRGJJhPeu9rlTLlC1SpLz0CvzHp8n70WIiWI5\nEvO6664bsr7f/e53GV2Uw/7Sd3R02OTJk23VqlW2YMECe+ihh+zUqVPW19cXDJZEIhE5E6fjOPll\n2Im8s2fP2t69e+3pp5+26667ztasWTPIlC8oKMgYzPDOO++Y2Td/SYuKikKxwo7jjA7t7e32wQcf\nRPrusIO+pKTESkpKAjPi3nvvtfXr11tRUZH19vZaUVGR9fT02JQpU4Y8Pz2jrqKKHMc5PyoqKqyk\npCT4/PLLL2f87rAjsaioyKZPn27t7e1WUVFhra2tNm/ePJs3b541Nzfb73//e2tubralS5dm1UgV\naotWA+99jrrzpptuCpV1dXUFx2xRXH311cHxu+++GyrD+idOnBgqU0keUZOydkWNxnvgobZkXYvu\nJ3ZJorZTSTr5D6zK4IL929PTk7GdfH/4jPgesN2sh1GTchm2k9uMz52fg1qhprIUYR1qtRzPg6gs\nN0q343dV4k+e40JY00+ePDk4Pnr0aMbzkEg/v0899ZQ98MAD1t/fbzNnzrRNmzbZwMCArVixwjZu\n3GilpaW2ZcuWSBU6jpNfIg366urq0Ox3mtbW1lFvkOM4uSXnQjttCqktoDmJJUaeffjhh6GyG264\nITguLy8PlWHUHZtPxcXFwTGba1iH2iuMy9C9pyKzOPIMzT42Y/G7bKZjZJ2KdGPzF01VNqnxHliG\nKLcqohJV8L1j33MZSiKVCIRNamU2R3U78j2g+0sl3uQyvCbfA37me8eoOxWpyO8EJpXxxJiO4wyJ\nD3rHiRljMuh5VjhfcGKNfMLRi/lk7969+W5CwP79+/PdhADMuZhvRrMtY+I87+3tHeTHR23H4Ypt\nbW3BMf/BSIf1moXDZ83CWpb1VGFhoXV3d9usWbNs2rRpoTLcs51dhNhOngtAdwnPWaj94gsLC+3A\ngQNWUVGRVQYV1HoqeWI2IbMDAwP2xhtv2OzZswet6sPrqLZwCDJfB1GrFsePH2/vvfeeLViwYJBW\njpr1RiUTVS47fgePHTtmH330kU2YMEHeD79nal97fA+4z1DTc78UFhZaT0+PlZWVDZpbwVBtziSV\nCTfvHSdm+KB3nJgx7Cq787q4SC7oOE5uyTS0c6rpc/j3xHGcEeLmvePEDB/0jhMzfNA7TszI6aDf\ntm2bzZkzx8rLy62pqSmXVQ3iwQcftEQiYVVVVcH/5SuZZ1dXl9122202b948u+aaa+zJJ5/MS3tO\nnz5tCxcutJqaGqusrLRHH300L+1ABgYGrLa21pYsWZLXtpSWltr8+fOttrbWrr/++ry2JdeJaHM2\n6AcGBuzXv/61bdu2zT744APbvHmzHThwIFfVDWLVqlW2bdu20P/lK5lnYWGhPfHEE/b+++/bG2+8\nYc8884wdOHBgzNtzySWX2M6dO62trc32799vO3futNdeey2vSU43bNhglZWVgacnX20pKCiwXbt2\n2b59+2zPnj15bUvOE9GmcsTrr7+euvPOO4PP69evT61fvz5X1Q1JR0dH6pprrgk+z549O9Xb25tK\npVKpnp6e1OzZs8e0PWl+8pOfpLZv357X9pw6dSpVV1eXeu+99/LWjq6urtSiRYtSO3bsSN1zzz2p\nVCp/z6i0tDR15MiR0P/loy3Hjx9PlZWVDfr/0WxLzn7pDx8+bNOnTw8+l5SU2OHDh3NVXSQuhGSe\nnZ2dtm/fPlu4cGFe2nPu3DmrqamxRCIRSI589csjjzxijz/+eCgcNl9tKSgosDvuuMPq6ursz3/+\nc97aMhaJaHM26C/0wByVzDNXnDx50pYvX24bNmwYtOvNWLVn3Lhx1tbWZt3d3fbPf/7Tdu7cmZd2\nvPDCCzZlyhSrra3NGM8xls9o9+7dtm/fPnvppZfsmWeesVdffTUvbUknov3Vr35le/futQkTJmSV\niDYKORv0xcXFoZx1XV1docR9+SCdo9/MZDLPXHDmzBlbvny5rVy5MsgnmM/2XHHFFXb33Xfb22+/\nnZd2vP7669bS0mJlZWV2//33244dO2zlypV565N0TsXJkyfbsmXLbM+ePXlpy1CJaPfu3Rskoh2N\ntuRs0NfV1dnBgwets7PT+vv77fnnn7eGhoZcVReJhoYGa25uNjMbUTLPkZJKpWz16tVWWVlpa9as\nyVt7jhw5Esz6fv3117Z9+3arra3NS7889thj1tXVZR0dHfbcc8/Z7bffbs8++2xe2vLVV18FKyhP\nnTplL7/8slVVVeWlLZiI1syCRLRLliwZvbaMeDYgAi+++GKqoqIiNXPmzNRjjz2Wy6oGcd9996Wm\nTp2aKiwsTJWUlKT+8pe/pL744ovUokWLUuXl5an6+vrUsWPHxqQtr776aqqgoCBVXV2dqqmpSdXU\n1KReeumlMW/P/v37U7W1tanq6upUVVVV6g9/+EMqlUrlrV/S7Nq1K7VkyZK8teXjjz9OVVdXp6qr\nq1Pz5s0L3tV89UtbW1uqrq4uNX/+/NSyZctSx48fH9W25HTBjeM4Fx4ekec4McMHvePEDB/0jhMz\nfNA7TszwQe84MeP/ABTx2MOQJGyPAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now fetch the class labels" ] }, { "cell_type": "code", "collapsed": false, "input": [ "urllib.urlretrieve(\\\n", "'http://staffwww.dcs.sheffield.ac.uk/people/J.Hensman/gpsummer/datasets/has_glasses.np',\n", "'has_glasses.np')\n", "y = np.load('has_glasses.np')\n", "y = np.where(y=='y',1,0).reshape(-1,1)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Divide the data into a training/testing set:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "index = np.random.permutation(faces.shape[0])\n", "num_training = 200\n", "Xtrain = faces[index[:num_training],:]\n", "Xtest = faces[index[num_training:],:]\n", "ytrain = y[index[:num_training],:]\n", "ytest = y[index[num_training:]]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we choose some inducing inputs. Here we've chosen inducing inputs by applying k-means clustering to the training data. Think about whether this is a good scheme for choosing the inputs? Can you\n", "devise a better one?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy import cluster\n", "M = 8\n", "Z, distortion = cluster.vq.kmeans(Xtrain,M)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we\u2019re ready to build the classifier object." ] }, { "cell_type": "code", "collapsed": false, "input": [ "k = GPy.kern.rbf(4096,lengthscale=50) + GPy.kern.white(4096,0.001)\n", "m = GPy.models.SparseGPClassification(Xtrain, ytrain, kernel=k, Z=Z, normalize_X=True)\n", "m.update_likelihood_approximation()\n", "m.optimize()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "/home/neil/SheffieldML/GPy/GPy/core/transformations.py:32: RuntimeWarning: overflow encountered in exp\n", " return np.where(x>lim_val, x, np.log(1. + np.exp(x)))\n" ] } ], "prompt_number": 19 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Exercise 7" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "a) Look at the following figure. What is being shown? Why does it look\n", "like this?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pb.figure()\n", "pb.imshow(m.dL_dZ()[0].reshape(64,64,order='F'),interpolation='nearest',cmap=pb.cm.gray)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 20, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAP0AAAD7CAYAAAChbJLhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "raw", "metadata": {}, "source": [ "# Exercise 7 a) answer here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "b) Write some code to evaluate the model\u2019s performance, using the held-out data that we separated earlier. How is the error rate? Is that better than random\n", "guessing? *Hint:* `GPy.util.classification.conf_matrix(prob_estimate,ytest)`" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "# Exercise 7 b) answer here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "c) Write another simple for loop to optimize the model. How low can you get the error rate to go? What kind of kernel do you think might be appropriate for this classification task?" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "# Exercise 7 c) answer here" ] } ], "metadata": {} } ] }