{
"metadata": {
"celltoolbar": "Slideshow",
"name": "",
"signature": "sha256:7cf18345b5b9af299e3f6e636d2bb8f84c9bde3f45f5e5e2403fc203a2d68c13"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.core.display import HTML\n",
"\n",
"print(\"Setting custom CSS for the IPython Notebook\")\n",
"styles = open('custom.css', 'r').read()\n",
"HTML(styles)"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Setting custom CSS for the IPython Notebook\n"
]
},
{
"html": [
"\n",
""
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 1,
"text": [
""
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import scipy\n",
"import numpy as np\n",
"import matplotlib\n",
"%matplotlib inline\n",
"%pylab inline \n",
"\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"sns.set_context(\"talk\")\n",
"sns.set_style(\"white\")\n",
"\n",
"import pandas as pd\n",
"\n",
"from matplotlib.colors import ListedColormap\n",
"import sklearn\n",
"import sklearn.decomposition\n",
"import sklearn.neighbors\n",
"import sklearn.datasets\n",
"\n",
"cmap_light = matplotlib.colors.ListedColormap(['#FFAAAA', '#AAFFAA', '#AAAAFF'])"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# generate plots for later\n",
"\n",
"# ML in 10 minutes plot\n",
"#cheat to get the same \"random\" numbers\n",
"np.random.seed(seed=99)\n",
"\n",
"# make some data up\n",
"mean1 = [3,3]\n",
"mean2 = [8,8]\n",
"cov = [[1.0,0.0],[0.0,1.0]] \n",
"\n",
"#create some points\n",
"x1 = np.random.multivariate_normal(mean1,cov,50)\n",
"x2 = np.random.multivariate_normal(mean2,cov,50)\n",
"\n",
"plt.scatter(x1[:,0],x1[:,1], c='r', s=100)\n",
"plt.scatter(x2[:,0],x2[:,1], c='b', s=100)\n",
"\n",
"plt.plot([2,10],[10,1], c='g', linewidth=5.0)\n",
"\n",
"plt.title(\"ML in One Picture\")\n",
"plt.xlabel(\"feature 1\")\n",
"plt.ylabel(\"feature 2\")\n",
"\n",
"fig_ml_in_10 = plt.gcf()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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NO7swQkMNp5PEaQUEJ3kvjSaUnDnt0yQvkXbkcbAQFsTRzpEtXbfQpVIXo/E1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\nCzmQMaYG8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"text": [
""
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# features matter plot\n",
"#cheat to get the same \"random\" numbers\n",
"np.random.seed(seed=99)\n",
"\n",
"# make some data up\n",
"mean1 = [6,6]\n",
"mean2 = [6,6]\n",
"cov = [[1.0,0.0],[0.0,1.0]] \n",
"\n",
"#create some points\n",
"x1 = np.random.multivariate_normal(mean1,cov,50)\n",
"x2 = np.random.multivariate_normal(mean2,cov,50)\n",
"\n",
"plt.scatter(x1[:,0],x1[:,1], c='r', s=100)\n",
"plt.scatter(x2[:,0],x2[:,1], c='b', s=100)\n",
"\n",
"plt.plot([2,10],[10,1], c='g', linewidth=5.0)\n",
"\n",
"plt.title(\"Apples and Oranges\")\n",
"plt.xlabel(\"Roundness\")\n",
"plt.ylabel(\"Weight\")\n",
"\n",
"fig_features_matter_confused = plt.gcf()\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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TSWQ2m432pduzt8deXiz9otu6P07+QYUxFei/uj+RMZEe7FAk6Z04EcqTT35D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\n/w8LH0pHyn5cnQAAAABJRU5ErkJggg==\n",
"text": [
""
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#cheat to get the same \"random\" numbers\n",
"np.random.seed(seed=42)\n",
"\n",
"# make some data up\n",
"mean1 = [5,5]\n",
"mean2 = [11,5]\n",
"cov = [[1.0,0.0],[0.0,1.0]] \n",
"\n",
"#create some points\n",
"x1 = np.random.multivariate_normal(mean1,cov,50)\n",
"x2 = np.random.multivariate_normal(mean2,cov,50)\n",
"\n",
"plt.scatter(x1[:,0],x1[:,1], c='r', s=100)\n",
"plt.scatter(x2[:,0],x2[:,1], c='b', s=100)\n",
"\n",
"plt.plot([8,8],[2,10], c='g', linewidth=5.0)\n",
"\n",
"plt.title(\"Apples and Oranges\")\n",
"plt.xlabel(\"Color\")\n",
"plt.ylabel(\"Shape\")\n",
"\n",
"fig_features_matter_separated = plt.gcf()\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ae/dWZvduy2M7yRq8mh1sWdanrrGAg3H+GvErcBz4CPgy/coTkayiWbdujBs9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\niIiIiIiIiIiIiIiIiNf4P1TD9kv5U8d2AAAAAElFTkSuQmCC\n",
"text": [
""
]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#cheat to get the same \"random\" numbers\n",
"np.random.seed(seed=99)\n",
"\n",
"# make some data up\n",
"mean1 = [3,3]\n",
"mean2 = [8,8]\n",
"cov = [[1.0,0.0],[0.0,1.0]] \n",
"\n",
"#create some points\n",
"x1 = np.random.multivariate_normal(mean1,cov,50)\n",
"x2 = np.random.multivariate_normal(mean2,cov,50)\n",
"\n",
"plt.scatter(x1[:,0],x1[:,1], c='r', s=100)\n",
"plt.scatter(x2[:,0],x2[:,1], c='b', s=100)\n",
"plt.scatter([6],[9], c='k', s=200)\n",
"\n",
"plt.plot([2,10],[10,1], c='g', linewidth=5.0)\n",
"\n",
"plt.title(\"ML in One Picture\")\n",
"plt.xlabel(\"feature 1\")\n",
"plt.ylabel(\"feature 2\")\n",
"\n",
"fig_prediction = plt.gcf()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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9t4Vly/Zx/rwLUVGO5M//kA8/tOWHHwaQPfurnr/+/T9i3rwtBAa2TOKOYdSq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\n1rYIq1Y9pk2bpFdwC5EaAgICaNCgAUB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Z52N55+WMazTOaDzg3wCaLmvKnfA7RuPi/wYO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\nsTi3MMg1M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"text": [
""
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"CS109\n",
"======\n",
"\n",
"Verena Kaynig-Fittkau\n",
"---------------------\n",
"vkaynig@seas.harvard.edu\n",
"\n",
"staff@cs109.org"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Announcements\n",
"==============\n",
"\n",
"* HarvardX Interactive Learning Challenge\n",
"\n",
"http://databits.io/challenges\n",
"\n",
"* HW 3 is out"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Introduction to Machine Learning\n",
"================================\n",
"\n",
"* Analyze training data \n",
"\n",
"* Make predictions for new data points\n",
" - supervised learning\n",
" - data has labels\n",
" \n",
"* Find patterns in the data\n",
" - unsupervised learning\n",
" - data has no labels"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Examples for Supervised Learning\n",
"=================================\n",
"\n",
"* face detection\n",
"* handwritten digit recognition\n",
"* sound classification for hearing aids\n",
"* spam filtering\n",
"* recommender systems\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Examples for Unsupervised Learning\n",
"==================================\n",
"\n",
"* dimensionality reduction\n",
"* cocktail party problem\n",
"* fraud detection\n",
"* google image search categories"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Somewhere in Between\n",
"====================\n",
"\n",
"* reinforcement learning\n",
" - flappy bird agent\n",
" http://chrisbeaumont.org/floppybird/\n",
" \n",
"* semi-supervised learning\n",
" - music classification"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Supervised Learning\n",
"===================\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig_ml_in_10"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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NO7swQkMNp5PEaQUEJ3kvjSaUnDnt0yQvkXbkcbAQFsTRzpEtXbfQpVIXo/E1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\nV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"prompt_number": 7,
"text": [
""
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Features Matter!\n",
"================"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig_features_matter_confused"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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TSWQ2m432pduzt8deXiz9otu6P07+QYUxFei/uj+RMZEe7FAk6Z04EcqTT35D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"prompt_number": 8,
"text": [
""
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Features Matter!\n",
"================"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig_features_matter_separated"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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ae/dWZvduy2M7yRq8mh1sWdanrrGAg3H+GvErcBz4CPgy/coTkayiWbdujBs9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VAAAA\nuklEQVSIwPtAE2ClYRj/BQ4B1bAv3PgZmA3kA/5rGMZxYDfQFXgA6JxwjsRzAocAMw3D2A2sA1oB\nrYGm6f5KRERcpJ5AEfF6pmleAB4CdmJf1bsb+BCYDDxpmmY8MBL4AhiR0K4W0NA0zT0Jp7ESnW8B\n9oUkb2EvJdMOeMo0zRWJ2qqwtIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiI\niIiIiIiIiIiIiIiIiNf4P1TD9kv5U8d2AAAAAElFTkSuQmCC\n",
"prompt_number": 9,
"text": [
""
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Self Driving Car\n",
"===============\n",
"\n",
"* *** What features do you need to drive a car? ***"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Self Driving Car\n",
"===============\n",
"\n",
"![\"Google Car\"](http://2.bp.blogspot.com/-DjZR_4wX8Kk/UuSaoWLVJlI/AAAAAAAACYY/84pBrojn3Is/s1600/Cybernewsalerts2.PNG,\"\"Google Car)\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Just Measure Everything?\n",
"========================"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"* Data volume\n",
"\n",
"* Computational overhead\n",
"\n",
"* Curse of Dimensionality"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Prediction\n",
"===========\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig_prediction"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": 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9t4Vly/Zx/rwLUVGO5M//kA8/tOWHHwaQPfurnr/+/T9i3rwtBAa2TOKOYdSq\n9arXV6PRMGXKALy8LjFx4kzu3LHHxkZHlSp2jBzZgRw5crxRvlqtlm7d6vLbb4WA99Cfc9wEw7Lh\nETExpUzeLzCwPKdOqRQuXOiN8hBpS4pAIayEq5Mre3vu5eNVH7Pz2k6D+LTj07gfep/FbRaTxTaL\nBTJMnw4fPsWOHbV4vQCMLzu+vlU5fvws1aql/NSHlCpWrBi+vr7079+fI0eOEBgY+FrcxsaG8uXL\n06dPH4YOHWq2vJ49e0ZoqOlCJCoqH7dvp+0ikUqVsrFy5SMgdxKtQrh06SxdusyiefMidO7cGG3y\nq0ejevVqRq9e+iPZIiIicHFxMXrPEiWKUq/eOlavDgOyGr1XqVKLGDPGcEi7QoXSzJtXOkV5vpAl\nSxYcHMIJCzOcThKvFRBi8l4aTRguLuZdgCRMk+FgIayIs4Mzm7tspnP5zkbja86voenSpgQ9DzJz\nZunX7NlHCAmpk2Sb4GAPZsw4aKaMTCtQoAA+Pj4cO3aMQYMG0bJlS5o2bUr79u2ZN28eJ0+eNGsB\nCJAzZ05y5DC96jRbNn9Kl07b3qKhQ1ujKKZW/67k0qXvWb68P716laRWrfGoqn+qPN/R0ZEcOXIk\nWVTOn/8JjRpNxtY24d6PwZQuPR1v7+rkzp1UEZtybm5uvPvuDROtcuDkdM7kvd599zC1ayd/qoIw\nD+kJFMLK2NvYs+TjJeR3ys/EIxMN4nv99+KxwIOtXbfi5pz0BrfW4MkTW8DU3DANT5682YIMcyhe\nvDjTpk2zdBoAODg4UKNGONeu6Ujq+1m16n+UL/9hmuaSNWtWfvyxNMOHb+TuXWNDrtuBAkBOAKKj\nS3Hs2Fg6dJjAwYP9cXIyXHGf2rJly8bWrWNZtWoHK1bs5NEjO7JkiaVmTQdGjer62vBxWtFoNLRv\n78axY5eJjDQ+5KvV3sHDQ8Pu3ecID383kTs9pHFj2zdetCTSnhSBQlghrUbLhMYTKOBcgNE7RhvE\nz9w/g/s8d3y7+aLkViyQYfoRf/J90u1MT+S3dl9+2ZgjR5Zy/brxeYi5cu1l0KDEConU1aFDfVxd\n/Zg48S9OnMjF06d5CQ+/SWxsOFAt7tcm4A76QbMYzpxpyMSJ6/n66+5J3TrVaLVaOnVqjBl38DHw\n6acfc+HCdBYsCOP584qvxWxtr9C+/d8sWfIzn302B2/vcMLCXu/t02r9ad16Jb/+OtKcaYtkSp2l\nTxaiKErWRDkeAAAgAElEQVQx4PquXbsoVEgmmwrxNhafWUyfjX2IjjUsYvJkzcPmLpupXrC6BTJL\nH1as8KVHj2JERSU+z8rO7jzLlt2hXbuGZswsY9q9+wSffXaQs2fbEBtbNO7qI0qWXMfo0W588kkL\ns+f07NkzvvlmNpMnd0HfA3gZ/YrYdkDxuFYxwDbc3DYTEDA1xfMDTVHVa4wfv43Tp22IiNCSN28U\nzZvnYsiQNm+9KXhKrF69k4ULz3P1qiOgoWjRcDp2LEavXi1e7j349997mT//P1TVgdhYKFIkgnbt\nCtGvX8s0/35Zu4CAABo0aABQXH2DeQtSBAoh2HZlG21XtSUsKswgltUuK2s7rKVJySYWyMzyYmNj\nqVPnN/75ZyzGp1HH4u7+GwcOjJUPumSKjo5m0aKtHDhwj9hYKFs2G0OHtiZrVuOLIOKLiIhgzpxN\nXLz4GHt76NWrLhUqpHwhxJAh3kyb5gU8BRYAwzD+EXmTzz7bwZ9/9k3xMxOzdOlOxowJ5M6d9kD8\n1foPqVNnDj4+A994ta/I3KQIlCJQiBQ5dvsYzZc1JzAs0CBmq7VlXst5dK9onmGw9ObWrTu0a7eI\n48e7o9MVfHldowmgevUlrFnTk0KFZP7km4qMjGT69A34+ATy4IEd9vaxVKwYzejRjSlbtiQxMTEs\nX+7Lxo03CQ+34d69q9y/b8etW4MANyCWHDl2UqvWvyxa1Js8ed5+ocS33y7ghx86AiuADrw6r9dQ\n8eILOHOmLc7OpvYafHNXr/rj4fEPt28bX7wFkbRq9RcbNuiHV8PCwtiwYS9PnoRRrVopqlevmMjr\nRGYmRaAUgUKkmPpIpfGSxvg/9TcaH99wPKPcR5k8eiozioyMZO7cTWzefJ/gYFucnaPx9MxPnz4t\nZML7WwgODsbT8y/27esLuMaLxJI//zpGjoxk7dobHD/enpiYF2fo6oDjwB70Gxa/2HIkmpo1/2DX\nrqHJ6k005uHDh1SqtIs7d54CA0y0DmL8+M2MHt3lrZ6VlE8+mYG3txdJTdnPnduHQ4fKMGXKbrZv\nt+XKlY8AZ7JmPcf7759i7Nj3ad7cPdVzE+nX2xaBsjBECPGSklvhcJ/DNF3alDP3zxjEx+wcw92Q\nu/zR6A+0Gusa+rS3t2fgwI8ZONDSmWQOffrMYd++z9DvMxeflnv3WvLFF18THf0rr/dVaIDqwLvA\ndODFYgNbjhzpz6RJ6/nyy65vlU/evHlp3vwR3t7J+XOdnXv3Qt/qOaacOaPF8KP5KbAaiALsePQo\niqpVlxESMhyo8bJVWFgdDhyow+XLPkyfvp82beqmSY4i87Cun+JCCJPcnN3Y12sfHxb70Gh84pGJ\ndF/fnciYSPMmJjKNmzcD2L+/GIYF4AubiI7+lMQHq7KhLwTjbyqdE1/flO1vOX16f/LkuZuMls9w\ndX27HkdTIiISfiwHAHOArsAgwAsYREjIMuAWYLjx+717nowbd4bY2FiDmBDxSREohDCQPUt2tnXd\nRrty7YzGl51dRotlLQiOCDZzZiIzmDNnOw8eJLUK+AFgaopPI2D3a1cCA1M2LG9ra0vv3kUBwwVS\n8RUrtoH+/dNmFbOra1SCK8vQ93gmLDo16Fcv3wEMC9czZxqyYcOetEhRZCJSBAohjHKwdWBF2xUM\nrjbYaHzHtR3UW1iPB6EPzJyZyOjCw2OApAq25JxfrSXhR1iWLCnv+Ro7tjVly85L/Knae3h6Pk+z\nzZpbtXIFbsd9dRyoS9LT9zsCGw2uRkWV5Z9/rqd6fiJzkSJQCJEoG60NfzX9i5/r/2w0fvLuSdzn\nunP18VUzZyYysgoVCqDV+ifRIjkbb8egXyjy6utKlVK+YXfu3LlZvLgBlSr9iUYTEC8SS44cO+jR\nYyWTJvVL8XMS4+XVknr1FgLhwCniz/kzzgHjRWIstjLrX5ggRaAQIkkajYYvP/iSOZ5zjC4Gufrk\nKu7z3PG762eB7ERG1KVLY8qX35pEi4KAv4m7bAU+evWKgmsYPTp19rJ8//2yHDs2lGnTjtGu3Sw8\nPb3p23cW+/cXYf78YWm6H6SdnR0bNw6lQ4dZODpeI3mbeBi2yZFjB926ycIQkTQpAoUQydK3Sl82\ndNxAFlvDyfwPQh/gscCDndcMJ6kLkZCtrS2DBxcmR46DibRogIvL7+h7+4wJQr8opDgQRaFCS/nj\nj7yUKfNOquVoZ2fHwIEfs3p1fzZu9GLOnIGpsil1cjg5ObFy5XBGjy4BGO7baSgiwdex1Kz5H+++\na91HPgrTpAgUQiSbZ2lPdvXYRc4sOQ1iIZEhNFvajBX/rbBAZiKj+eSTFvz221Pee28GWu2NuKtR\n5Mu3nrZtZ3Py5Eg8PH7HwSH+VkU6smTZSv78n1O5sgO1as1i0KC5HDxYl06d6lvibaTY4cOn+PLL\nOfzvf3M4ceLsa7HPP++OomwwcYd/gfLxvn5O5cp/MmfO222VI6xLht7xVTaLFsIyzj88T+MljQl4\nFmA0PqnxJIbVHGbmrERGFB0dzbJlvpw9ewdHRxv69WtEkSL6n+c6nY4tWw6wcuV5wsJsyJkzhsGD\n61KpUjkLZ51yJ0+eZ+RIX06erE5IiH5jZ2fnfVSt6sfUqS0pV06/Qfbkyev45psCPHtW08hdAnFz\n+wIHh6pERWUhb94QPvzQjm++aU/OnIb/UBOZl5wYIkWgEGYV8CyAJkuacO7hOaPxsbXH8kuDX6zy\ndBGRscXGxrJu3W7Wr79KWJiWHDmiGTDAnRo1UudItnPnrtCq1V6uXjW2wERHmTLT2bTJk3feKQLA\nzJmbmD37BmfPNiQ6uhTwmBIlNtG48XOmTOmHVqslOjoae3v7VMlPZDxSBEoRKITZPQl/QssVLTl4\n0/jcrp4Ve+Lt6Y2djRyrJjKGgIC7dOq0kGPHWhEVVTbuqg4npwM0anSUZcuG4uDgkKJntG37F+vW\nDSHxj2AdXbpMY+nSIS+vxMTEsGHDHs6evUnevM706NEkTc4uFhnT2xaBMidQCPHWcjrmZHu37bQq\n3cpofOGZhbRe2ZrQyLQ5YkuI1BQVFUW7dgs5dGhMvAIQQENISF3WretP794zUvSMR48eceRIHpLu\ng9Hwzz/OhISEvLxiY2ND27YN+e67Pgwe3F4KQJEqpAgUQqSIo50jazqs4ZMqnxiNb7m8hQaLGhAY\nlpxVjkJYzty5mzh2rBuJfzS64OtbksuX334T5mvX/Llzx/Qq47t3i3P79m2T7YRICSkChRApZqu1\nZWaLmXxT9xuj8aO3j1JnXh1uPL1hNC7EiRP/0bXrVN57bxalS3vj4TGdceOWEB4ebrYcNm26h06X\n9NSix4+bMnXqjrd+RrZsjtjbh8S7Eob+aDjvuF9zgIfY24fg6Oj41s8RIjnSxX7iiqJ4Ar8ARdAf\nhPi9qqrLLZuVEOJNaDQavq/3PW7ObgzaPAjda6c5wKVHl6g1txbbum3jPdf3LJSlSI9mzPDhm28g\nMHAwL4ZJVRX273/M1q2T2LRpUJod0xZfcHByPhJtePbs7afTlylThgoVpnPyZF3gIHAG/dFveeJa\nhAPryZHjCIULNyUyMpIFC7Zw/vxD7O2hd+96lC1b8q2fL0R8Fu8JVBQlK7Aa+EZVVRegH7BQUZQi\nls1MCPE2BlQdwJoOa3CwMZw8fzfkLnXn12Wf/z4LZCbSozNnLvDtt7EEBnpiOE8uFwcPfkbv3nPN\nkouLS2KbU8cXg7OzznSzRGi1Wtq0yYVWuwt9n8dgXhWAAI5AF+7f70y3buOoUmUeAwZUY/JkL37/\nvQ+1a1+mRYs/CAx89NY5CPGCxYtA9Ic/BgN2iqJo4r6OIPGt4oUQ6dzHZT/Gt5sv2R0Me2+CIoJo\nvKQxa8+vtUBmIr35449dPHzYMokWDhw6VIybN43vSZmamjXLh0aT9Dy83Lm38emnHyXZxpQvv+xM\nkSLrgfaJtomIqMWKFXDuXH90uoJxV2148qQpmzcPw9PTm7CwsBTlIYTFi0BVVcOBnsB8IBLYDwxR\nVVVmxAqRgXkU8+BA7wMUcC5gEIuIiaD96vbMOJ6ylZYi4/vvP3tM7Vb24IEnc+duT/Nc+vXzpHr1\nxUBsIi2C+egjlVKliqfoOVFRUWi1FTH1vmNjGwKnjETsOHKkPxMnrktRHkJYvAiM2+tvOfphYEfA\nE5isKIpMGhIig6vgWoHDfQ5TOrfhakgdOgZtGcQ3e75Bp3v74TWRsUVFJedjyI7w8LQfHLKzs2PN\nmp7Urj0eO7tL8SL6fQLbtJnJ/PkDU/yc4OBgnj3LnYyWBYH7icRy4uv7LEV5BAYGcvz4SS5evCh/\nB61UelgY0ho4parqsrivtyiKsgnoAYyyXFpCiNRQNEdRDvY5SItlLTh6+6hB/Mf9P3Iv5B7Tm0/H\nVpsefiQJc3J1jeSc8UNnXrK1vcz775tnmnihQm7s3z+GtWt3s27dHsLDbciRI5r+/WtRq9boZN8n\nNjaWK1eu8Pz5c4oVK4aLi8vLmLOzM87OTwg0uWvSHSBfotGHD9/uhJDTpy/x/ffbOXo0H3fvlsLB\n4T4VK+6iTZvcjB3bUU75sSLp4SduOJAlwbUYIMoCuQgh0kCerHnY1WMXHdZ0YMvlLQZxbz9v7ofe\nZ0XbFTjaybYY1sTTMw+7d98HXBNtU6HCdtq1G2C2nLRaLe3bN6R9+4Zv/NrY2Fh+/nk5Gzc+5dy5\nckRGZqVgwQ24uwfx88+tKVGiMPb29lStGs51k9sNHkO/cMQ4B4c37x09cuQsXbue4Nq1T19ei4iA\nY8c8OHXqOlevTmX27CFSCFoJiw8HA5uBMoqi9FIURaMoigf63sHVFs5LCJGKstlnY0PHDfSq1Mto\nfOOljXy0+CMehz82b2LCogYNak29enPR9wcYyp17F8OHl8TGxsa8ib0FnU5Hjx6T+P57D06cGEx4\neD1iYmpw82YPVqwYQvPmG7h0SV/5jRzpQcGCSc3pO4Z+17TEirFYKlWKfuP8Ro3aybVrvY3Go6KK\ns2RJHf7+e+8b3VdkXBYvAlVVDQBaAAOBJ8BfQA9VVf0smpgQItXZ2dgxr+U8vqjzhdH4oVuH+GD+\nB9wKumXmzISl2Nvb4+MzjE6dZuPmthJ9MajDzu4i778/jYkTY+jRo7Gl00yWefN8WLnSk5gYYxtO\na7h4cQhDh24AoEaNCkyalIuSJaej/+h7IQJX15VUqLAQqJ/os/LnX8eoUYarlJ88ecIXX8zjgw9m\nUrmyN/XqzeTHHxcTEhLCnj3H8PP7IMn38Px5ZRYs+M/0mxWZQnoYDkZV1YNADUvnIYRIexqNhnEN\nxpHfKT/Dtw032FT6/MPzuM9zx7ebL+XylrNQlqZFR0ezYMFmdu68R2Sklvz5Yxk5sjHvvFPM0qll\nONmyZWP58mHcv3+fuXNXExoaSdWqxWnVaiBarcX7KpJt1aqbREcntd2NhuPHy3L+/GXKlStFu3Yf\n0qRJVSZOXM+pU+HExmooWlTH2LGe5MzZktatJ7JzZzdiY+PPh4ymQIE1/PJLLsqXV167+/Hj5+jZ\nczcXLvQBsr28vnfvU9atm0nVqrGEh48x+T78/WVKhrVIF0WgEML6DK0xFNdsrnRf352o2NenAAc8\nC6DOvDps6rIJ98LuFsowcX5+F+jXbzNnznSI9wEdzapVW+nQYQvTpg2UOVVvwdXVlS+/7GHpNN7a\ntWuGG6Qn9ORJPTZsWEm5cqUAcHJy4uuvuxttu3nzGBYu3MLatZu4d88Oe/tYKlaMZcyYpgb/2IiI\niKBfP18uXPjMyJ1ycPr0SB48+Az99jemCmtZKWwtpAgUQlhMx/IdyZstL61XtCY4Mvi12JPnT2iw\nqAEr262kZemkelfMKzAwkK5dd3PxYsLNC2x59MgTb+8buLgs5Ndfe1kiPZGJ2Nra0rdvS/r2Nd12\n5syN/PtvlyRaaHjwoA/29jOIjEx8sQlAiRLP3yxRkWFlnH52IUSmVL94ffb12odrNsPVoc+jn9Nm\nZRvm+M2xQGbGjRu3nosXE/9Ujo4uyrp1MXKaQyZy4cIlfHx24+d3Jsn99JJTPOXMuYfWrWulZnoA\n7NnzGMifZJvo6ArkyHEpyTZZsx7Fy6tyKmYm0jMpAoUQFlfZrTKH+x6mZK6SBrFYXSxePl78tP+n\ndLGh7eHDMRjuavW6y5dbM3fuJvMkJNLMqlV7+PDDv6hWLYCWLYtQq1YotWpNZdq0v42279ChKHZ2\nahJ31FGt2oWXQ8GpKTIyeaunK1UqSqlSMzE25OvgcJG+fU/RtGmdVM5OpFdSBAoh0oUSOUtwqM8h\n3nd732j86z1f8+nWT4mJteyx4kFByZlFk5uAgKA0z0WkndmzNzFwoIZ9+z4lNLQBUJLISHeOHv2U\nMWOK89VXCw1e06ePJx06bMLGxtjqdh1lyvzFX3+1SZN8c+eOxPRcvihKl3bGx6cxnTpNpWjRhWTJ\nsp/s2TdTp85fjB9/nilTzLcfo7A8mRMohEg38mXLx56ee2i7qi07ru0wiE87Po37ofdZ3GYxWWyT\n7o1LK87Oydmb7TEFCjineS4ibYSEhDB+/F0eP/YyGg8Le4+ZM6/Rq9d1SpZ8dY6wRqNh8eIRlCmz\njI0bH7/cLLpQIZVatZ4xbtzHFCtmbPuYlBswoCbr1x8iNDTxXry8eTczcmRTihYtzPLlnxIcHMyd\nO3fImrU4hQo1k8VMVkh6AoUQ6YqzgzObumyiSwXjk9zXnF9DkyVNCHpumZ42d3ctEJFkm3fe2UC/\nfp7mSSiOql5l5cptbN9+gMjISLM+O7OZMuVvrl5tl2SbR49a8Pvv2wyuazQavvqqK0ePDuHMmaKc\nOuXMv/9+zLJln6ZZAQhQu3YVWrQ4CjwyGrexuUW7dncoWrTwy2vOzs6ULl2awoULSwFopaQIFEKk\nO/Y29ixus5jPahrb7gL23dhH3QV1uRN8x8yZwRdftKZ06fmJxm1sAmjTRr/3nTns3n2CRo2mUr36\nFTp1epcmTXJTpcp8xoyZR0yMZYfOMyKdTseKFeeAnCZa2nLjRuKDaRqNhpIlS1K+fHmcnc3TK7x4\n8VD69VtBoULLeXUCyzOKFVvI0KG+TJ0qQ73idTIcLIRIl7QaLX82/hM3ZzdG7xhtEP/3/r+4z9Vv\nKl06T2mz5eXqmo9Fi+rg5fUn//7bGSgQF4khZ87ttGt3hd9+S3oLjtSydes/eHnd4fbtIS+v6XRw\n7lw5zp+/z40bE1ixYpT08ryBzz7z5r//cierbXrbx9rOzg5v78EEBgYybdoqHj+OxM0tK4MGtcHF\nxcXS6Yl0SIpAIUS6Nsp9FK7ZXOmzsQ/Rsa/Px7sRdIPa82qzuctmahQy36FD1auX5/hxBW9vH/bu\nDSQyUourawwjRjSkbNmmZslBp9Px3XfHuX17aCJxV9av92Tlyu106pQxjl2ztKtX/VmyxBWdLg9w\nGyiYROtwypVLn8V1njx5+PbbnpZOQ2QAUgQKIdK97hW7kzdbXtqtakdoVOhrsUfhj6i/qD5r2q+h\naSnzFGCgP/N28OC2DDZPp58BH599nD6d+NmyAFFRZVi6dJcUgcn055++BAb2RX+qxkzAeIENUKjQ\nKsaObWWu1IRIE+msM1sIIYxrUrIJe3ruIU/WPAaxsKgwWq5oyaIziyyQmWXs33+ZyMjyJtvdumVv\nhmwyhzt3tOj7RuyBasAKjG27Ym+/kW++yUPevHnNm6AQqUx6AoUQGUa1gtU41OcQjZc0xv+p/2ux\n6Nhoem7oyb2Qe4x2H53p58Hp56PpgKTfZ3qbt5ae2drGL/hqATmAaYATkA94DDylRo0HeHn9YIEM\nhUhd8uNBCJGhKLkVDvc5TEXXikbjY3eO5TPfz4jVxZo5M/Pq2LEWLi77TLTSUbq0bBeTXHXq5AAe\nxLtSFhgCdAQqAq2Bj+nY8dWfvZiYGFat2s7XX89h0qQVBAXJJuEi45AiUAiR4bg5u7Gv1z7qFatn\nND7p6CS6retGZEzmLYDef7881aqdJKlTIlxc9jBkSOqfU5tZDRjQknLllhuJOKJfJOJEhQqr8PLS\n7wE5Y4YPVavOokuXEvz0U19GjGhCpUp/M2DADKKiosyZuhBvRYpAIUSGlD1LdrZ23Ur7cu2Nxpf/\nt5zmy5oTHBFs5szMZ9as9pQvPwUw3A/Qyek4w4ffoXbtKuZPLIPKkiULU6fWoUSJ+Rh+T6MpWXIu\nU6d6YG9vz6RJ6/j883ycPj2ImJiS6Iflc+Dv34NZszrSseOEdHHWtRBJydCTZhRFKQZc37VrF4UK\npd1O7EKI9CsmNobh24Yz9fhUo/EqblXY0mULrk6uZs7MPO7de8A336zl0CENDx/mw94+lAoVgujZ\nswydOjW0dHoZ0vXrt/jll00cParh2TMbXFyiqVULvvjCk6JFCxEeHk6lSktQ1fjHyl0B9qLvmXXF\n1rYIq1Y9pk2bpFdwC5EaAgICaNCgAUB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Z52N55+WMazTOaDzg3wCaLmvKnfA7RuPi/wYO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\n6P8AxXCQoBg3mj8AAAAASUVORK5CYII=\n",
"prompt_number": 10,
"text": [
""
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Naming Conventions\n",
"===================\n",
"\n",
"* data points: `x`\n",
"* labels: `y`\n",
"\n",
"This is fairly standard in machine learning."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# get the data\n",
"x = np.concatenate((x1, x2))\n",
"\n",
"# get the labels\n",
"ones = np.ones((50,))\n",
"y = np.concatenate((ones*0, ones))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"K Nearest Neighbors\n",
"===================\n",
"\n",
"* predict class of new data point by majority vote of K nearest neighbors\n",
"\n",
"* very simple\n",
"* but good performance\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"K Nearest Neighbors\n",
"====================\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"\"train\" a KNN Classifier\n",
"========================\n",
"\n",
"*** Why is this not really training? ***"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"k = 1 # number of neighbors\n",
"\n",
"classifier = sklearn.neighbors.KNeighborsClassifier(n_neighbors=k)\n",
"classifier.fit(x,y)"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 12,
"text": [
"KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
" n_neighbors=1, p=2, weights='uniform')"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Predict a Label\n",
"==============="
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"newPoint_1 = np.array([6,9])\n",
"newPoint_2 = np.array([2,4])\n",
"\n",
"print classifier.predict([newPoint_1, newPoint_2])\n",
"\n",
"fig_ml_in_10"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 1. 0.]\n"
]
},
{
"metadata": {},
"output_type": "pyout",
"png": 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NO7swQkMNp5PEaQUEJ3kvjSaUnDnt0yQvkXbkcbAQFsTRzpEtXbfQpVIXo/E1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\nCzmQMaYG8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"prompt_number": 13,
"text": [
""
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Visualize the Decision Boundary\n",
"==============================="
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# code based on sklearn example\n",
"def visualize_decision_boundary(classifier, xmin, xmax, ymin, \n",
" ymax, step_size=0.02, \n",
" cmap=cmap_light):\n",
" \n",
" xx, yy = np.meshgrid(np.arange(xmin, xmax, step_size),\n",
" np.arange(ymin, ymax, step_size))\n",
" colors = classifier.predict(np.c_[xx.ravel(), yy.ravel()])\n",
" colors = colors.reshape(xx.shape)\n",
" ax = plt.subplot(111)\n",
" ax.pcolormesh(xx, yy, colors, cmap=cmap)\n",
" return ax"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"xx, yy = np.meshgrid(np.arange(0, 10, 2),\n",
" np.arange(0, 10, 2))\n",
"\n",
"plt.scatter(xx,yy, c='b', zorder=2)\n",
"random_colors = np.random.randint(10, size=25)\n",
"random_colors = random_colors.reshape(xx.shape)\n",
"plt.pcolormesh(xx,yy,random_colors,cmap=plt.cm.Pastel2, zorder=1)"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
""
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
""
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# now visualize the boundary\n",
"boundary_vis = visualize_decision_boundary(classifier=classifier, \n",
" xmin=-2,xmax=12,\n",
" ymin=0,ymax=12,\n",
" step_size=0.02)\n",
"\n",
"# and plot our data points\n",
"boundary_vis.scatter(x1[:,0],x1[:,1], c='r', s=100)\n",
"boundary_vis.scatter(x2[:,0],x2[:,1], c='b', s=100)\n",
"plt.show()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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V5OaOKvd6kyb/IT5+7EWvHzlygPnzl5KSEojdbqVhw0IGD25DcHBDSu/vVrHy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\niIiIiIiIiIiIiIiIiIiIiIiIiDQ4/w9HvUQ9HnrkHwAAAABJRU5ErkJggg==\n",
"text": [
""
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Now with Real Data\n",
"=================="
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data = sklearn.datasets.fetch_mldata('MNIST original')\n",
"print data.keys()\n",
"\n",
"x = data['data'][::50,:]\n",
"y = data['target'][::50]\n",
"\n",
"print x.shape, y.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"['data', 'COL_NAMES', 'DESCR', 'target']\n",
"(1400L, 784L) (1400L,)\n"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"What Are We Looking At?\n",
"======================="
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# shuffle the data\n",
"randomized_data = np.random.permutation(x)\n",
"rows = 5\n",
"cols = 10\n",
"img = []\n",
"\n",
"for col in xrange(rows, rows*cols, rows):\n",
" examples = randomized_data[col-rows:col,:]\n",
" col_img = np.reshape(examples,(28*rows,28))\n",
" img.append(col_img)\n",
"\n",
"plt.imshow(np.hstack(img))\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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HzTkCLg8U2C0uLsJqtb7x71MFg8rrqVQKqVQKlUqFy5bdbhePHj3C/v4+bt68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lQqQavVctQO+MarrlKpIBqN4vT0FJVKBSKRiKNZer0ed+7cwfr6Olwu11h4dtGiTfYewWAQuVyO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\nNRqNaGtrQ3d3N+rr6/Ho0SOkUincuXMHc3NzqlDAbrerVItqMOr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"text": [
""
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Scatter plot\n",
"============"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data = sklearn.datasets.fetch_mldata('MNIST original')\n",
"x = data['data'][::50,:]\n",
"y = data['target'][::50]\n",
"\n",
"svd = sklearn.decomposition.TruncatedSVD(n_components=2)\n",
"x = x - np.mean(x, axis=0)\n",
"#x = x / (np.std(x, axis=0) + 0.00001)\n",
"foo = svd.fit(x)\n",
"x_2d = foo.transform(x)\n",
"\n",
"plt.scatter(x_2d[:,0], x_2d[:,1], c=y, s = 50, cmap=plt.cm.Paired)\n",
"plt.colorbar()\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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haOmBjc1Vrn/kEeLi4kJ6LSHEP4PRrGAynXruxnga67JJsCTOSo2aNOPfn35N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\n4NdxNWlEdJcuNHr/Q1qZqn+WKPf7ece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FEJjo9fLp2+8wdNy4gDkuveVe3r/vWoaabK3e\nrN2VLVzSLYavDtTRI95Av2QjBfUuFu6vJVwrIiOgqi/mrne/5tO3Xmbzqh85p7NEclhbKHBIDKg9\nVZTVHCLCFE1dYxXR4fFB11TfVENUjylERvjDZMWV+ZRUH6a+vhIlRWk3LKXVejino43Vu5+iWUpD\nEA0o7gpyTBXUqVUoSttxBTV7GDG+b5CK9y/0GjiQnj8uY8u6ddRUVnLZWWcRGRkZMOaMiRN5fO4n\nxO/aTZQkMT48nC/r61nrcnKmTo9NlMhN7cDZMx85qQK2w267lSX3z2Ciw9G6/gOAeM4EYmJifvvg\n3+D7RfMZl+wCAj17KklEbzuCy+VCqw1O6g8RIsTpQZSdiHL7WnN/dJ7TRchYCnHaKcmvplOkJag9\nK7ofn348j2l3BHofBp5zCYc/f4ZMo8yAFBOrCm2cnRX4wC62edFG9EJRFHbt/xpf0250QjNVTc08\nfb+X+59+gRunTUNosDHu089QCwLo4PhyiGL+oaAHY6ecHKY+/xFfvPUixWt+JMrpQWmW+emIjYu7\nRbeGn7rGGbBE65m9vQK1KKDyuoiKimLaA49i3bqa5DBX0PX2SxBYULySvr2uY/XObzmzz/kB/Q5X\nM5m2Ioo0Bn9Jl9xvSE/swpCu4yiOTmZn5Wx6JwQ+xGtavAzvn8r63WVMTJOAthyhuhYf9VnDqFTv\nxH2ssOyUW8YyeOhvK3MLgsDA4ScufCsIAg98Mpc5zz6HbctmRLcHefhQzr/5ZspLSoiJjuaBQYP+\ncD24mpoatqxfTVxCMn0HDGTwmDGER0czb9YsxMpKfEYTnc6dxA2XX/6H5v01troaIg3t/+sziD6c\nTmfIWAoR4i9EVBxI8smF1n+Z53QRMpZCnHZ8nvZzWnQaA0220qD2yZdexXyXiw1Lv0DXUolDY+bL\nQ04GxoqEaUQ2lyvsrNGQkOjEsWsuwyJ2khD3S2KfkdI9i3homo2Jl1+NrbmZZlnGLAUn/tnq66is\nqCC1Y8eAdkvnLvz71fd4cdzZXF56lO/UKoqilKDabWpJIDNKR5PbR7PWzOZNG9i06HWilFraFXoU\nBGrt+Xy/Yw71VSWsXVlCpx7nYQ6Pp6RoG778n7lb4+am6v1s3recPpYRmE3RAHRM7M6OmiG0lGxk\nULIaUYD8BheNRgP3j+/MFVtr+HlPPX2zwzBpJPaUNtN01EOktokZbz38O16lP4Zareb6h4JDVl17\n9vzDc8myzFtPz0BftpV+sV4qmxWe+TCaydNm0rVPH7q+996pWHIroyZMZvUL33B2VvB7ok4VG5BL\nFyJEiBAQMpZC/AUYzO2HfMobCuk/IoMXn36N+ppG1FqRKVdMJqdrF6ZcPZULr7qOmpoaTCYTWq2W\nOR+8x5vPv8uZ/a7m8oEZlNUUUHHweRKSA7etFzQ4qTq6mG0FP9HiU/FRYxPTzYFhG5+icMjTwuyZ\nM5n+wgtERUWRl5eHJElkZWUhCAKGfn2xFxVjUkmkhLe/yyI1QsuXe2uJUOr5cPrluEUtR21eBvVX\nBRlXdpcPU1hPhve9GoermT075iOsfRVFUnGhJJOlUVPulek3rDc7tudh7hYYIuzT/VKq64fxyvqn\nGNBFz6QzO6N4FKbP2sN5jWqGi9H8sMPOUUXmLI2BDIOZ7/MOUllZSXx8cMjv74CiKDxy93RaDm4n\nXCfQM0qib4qBvjh4+9UHyJy1CI2m/Z2Nf5aOHdP4OqoXR227SI5om3tVkYde4y77wx6xECFCnByi\nz4noOwVhON/pC8OFErxDnHbOnTKGIzW7AtpcHidljr1898UaKEki3tsTc1NX3n58PvM+XQCAKIrE\nxcVhMBiQJIntGw5z1dkzSYnNAMDpaqRfQqC9v6OsiaQwDRfmRJEWqaNXjIrwdBXvN9TiVvxJyRUe\nN8+3VDN6cBTbt2zkvmuf5YL+E1g84Vx2TjqP58ZPYMPy5Vz/yCPM69EdUa2luLL9D+H+qhYGJxu5\nuH8s53cxc0knPedmqfk6L1AHyCcrLCk0MrCHPzFZrzUyYPA1FMXmcJFWIEujpsLr5dse3Zj53myi\nUtrfRRYbmcJAbSoj833s/TAP10eHidSlki3L6EWR841mrjZFkaHxyxfENTuoqqr6Iy/XX4bD4eCy\nkWdTvXgjSomGo1WZzM7tyQcb/ffu3FQnSxacoMzLSXL7Iy+yM/YcPj4cxqd5Eh+VxBM78R5Gn3PB\naTlfiBAh/m8T8iyFOO2MPHMEPllm8ZfLaWnwIKoFktKjCHOFk20c3vpNXhREsuP7sHLxOiadPwGD\noU0Y0Wq1onJEIoS3fes36szU1ot0aJMAorzJQ5+kQM2hnBQjCxtqeE2sQy2DFCkyIs2MWhIZleKj\nShdFz6HT2L1tHqOqtzKspJSFDzxI8vx5PDzvC9YtX843j8+gi9NOuK7Nw1Td5KbK5uHCroFeq6wo\nHdY6B5/kR2GkCoPWyeHGKEb0vxPNr1TKs3tO5skjn9E9OZ74oUN46IYbUKlUZPXKQm7yIYqBHi17\ncx1Jrnr66vT0BTarFUbfcAN7/v0I6c7gPKnDsTGclZX1+16ovxCPx8Otw0byUFMj0RoVyE5sNZW8\nUB1OYecR7CndSPcUI+tKj/zHudxuN7t37cZoMtK5c+ff5RkSRZGrbr7rVFxKiBAhThJRdp2iBO/g\n/4GnipCxFOIv4czRozhz9KjWv+12O/ff8ByCKfjBlmLK4dtFS7j08otb22pratFJgUZQfHQqG6yx\n9Iyrb31AqtspdubwyiSbtQxNDc5FyTSL7CjbScfEbnTtcxELl+3nDtyc19LCN6+9zq0vv8TwsWNp\nstlYet8daEwKRpNEc6MPUyP0iDcEzQkwqqOGH23d6JZ9NjuPPE9a4ijCflUoGMCoiyCyZ09SBvWk\n/5ARraKI1998FY/f/SrdEka2XpvX52Hl+g+ZIXhRFDWbvV7KJp/HtIkT2bdsGdXLVxB7nHFVLMsY\nxowO0FT6K7DZbNTX15OSknJCkccF777LrY12oo/blRchSdzts/NSXRU/WkX0Oidp/Xv95rnmvP8p\nm37eg0lOwIsbl+ZDrrllCv0H9j+l1xQiRIjTh3CKdsMJod1wIf6uNDQ08Opzb1FVbMPnU6hrrCQm\nNoqY2BjOHD+MUWeMaPc4n8+HoLQfBfb5vFRX1QRsee/RswefyIuB9ICxnbpcw+xtzzIpQyQxTE2T\nO7jYrF4l0uBsX6ysyOajwlaHrMhIooRLHwXeClSCgFJd3Toub/ESZuijcXtl7LX+hHGPXmGWu67d\neWtbfFTUHCYmqpB6m5em6t10TRoSOKbhKLt2vc6QJDf2okV88IkBJXMAD74wiw6pHbjvqVv49z1P\n4ahVUElaQGH0iBv56MBPmPJ/JC5Mx0XH9IZuffll3ntkJo1r1mJqtNNkjiR27Bim3n9fu+v7M+za\nupXN339PbMeOTLzssqBcovr6embfcQdh+/YT5XCyMC6WhEnncMW//hU0V/XmzYxqR74gQpIwNhTh\ni9TwQ6WRh86ZfML1LF2yjP2rq+gSE1jqZfaL88h6JytI8iBEiBAh/iwhYynEn8btdnPvtEfoEjmK\nqGj/g0+JVdiwbxlxxLP0ve1s3bCDex6cHnRsZGQk6vBAw8bWWM3+A3OJoAhfhY4HNn/D0AuuYdKU\nyzAajVj6plCzv4yYsKS2Ncg+IhLPZV7xXtTOPBL1AtaaFiwxbR4fSRTIr/dS7/ARqW/zvMiKwuaa\nSIb1vABryS46deiF6GoECfY5W9hdU86u3B307N0HsblN8LHc48buk8jQapHsCh6fjFoKNPy2lTVy\ndVYxKw6/zKhqH3HqFnYe2UhaxuBj55bZt+ctruniRRD8a4rSu2k8uoZXH5vB3Y8/T3JKEmG6aAb1\nDtzG37/3ZFY2F5Fjz2PZrFl0e+89JEnipiceR5ZlWlpaMBqNpyxR2el08uK119Jl9x4mKlDh8/Hi\n++8z5vHH6TdyJOBP1H71H//gusMFfpkGQYDqGvI++JAvtVouvvVWwG8ki6LYWiqlPbw+D7Wylmcf\nneUfewJWfr+B1MhgD5IleiBz3v+MO+6edpJXHiJEiL8CSXEgySe/kUMKSQeE+Dvy+dwvSTX0RSW1\neQgEQWBw17Gs2/09I3pO5Mje3ezfd4DklCSOHj1Khw4dWoUKL7hqIvNm/YAlrj+y4mPf7te5JLsF\nUdAAMlDM/k+exmAK46zx53D7v27mo9lzyd24HneLjMYokl9wmPF9rmLjPh+mlhompbvYUGLncH49\nWVE6mj0yRQ0uws09WF4TTrSSR2ezm4oWkbzmOLr3mEpEWCyHy/ZRcGQjg9x1PCXYiOugZaSxmGUP\nX8knURbM5hgWOBooMHpJztLidHmYX25jmGzgvc01jLOEkRGjp7bFw/riRnolGNGrJSZlG8nVNtGn\nwonq4CLWFW7EYYzDai9kSlojghD4DyJMI7J7z0a8Xi8rf1pNnCYz6L4fLt1AZFgTRTE69m1dzZGr\np9OpZyeuu/EqTCYTJlP7deL+LLMfeICLc3f5C9oKkKRScU1tPS9cex0xK5aTlpHBuhUrGHL4COpf\nlVbphMCWbxeztnMmW7+bi7q5HK+gwVovU+rxkPIr71Kt10uRSWTBV9/+x11w7hYftLPLX6vRU1fb\nFNwRIkSIvyV+UcqTN5ZCopQh/pYU5JcSbegW1C4KIirpWBmJqE7MvO1GsowOzF4bDWozpk4DGTju\nIpYu+IkWVzNr9n1DReVupmbbEYXAh2cXo4eVCz7mrPHnIAgC1974D669sa1/2lX3IwgCPtmLQ4gF\nShnSIRyPT6HY5iLOqEYjqWhyp+NG4og3AheJ2HylaHXNHC5aTXx8X8orDpLUVMpc0c51AyJbi9WG\naxWy3QdZeDSMHhkqRsUdZ4gkG5m/x8aL89ayYvEiZs//iG56J+OzI1FLbZ6TXh2MrCyzcbNeT53v\nCMa0Grp43KSo2pdU0HgaaW5uRhAFFAI1qvbnz+einAJ6j4gAIpBlhdkbtlC8KZY7tz3Ic2/ODAg/\nybLM0m++Im/nVmISUphy9fWtifMNDQ1s3rSF+IR4evbs0a4nSlEUXFu3+Q2lX3GFpOLRCRN5ft1a\n9q5bz3m07y2qKyumbPELXJOh5hfV7JYsuO+Qlzu80OHYfajweHhRo+eDZV/9LrkAjaF9OQeX20FE\nyqk1GEOECPH/NyFjKcSfRpQIyCs6Hp/szxHalvseFyRXYlBL+N9uTTQV/Mgr929n7NAHSTumB7nF\nW020oX1vgM924q3vWd1TaMyvRxQkNOE9+HR/IZd1FlFLIplROhocXpbVJ9A1ZwD7jmwhO7EL5YXz\nGNuhiWi9ihaPj8V7V3B1k8jHUekMDPO1Gkq/IIkCKd4qotvRixrfycT65Uu5/b4Z1OzbSD/voaAx\ngiCASmC320nSqGhGdoslt6iB3P0VWKKCk6/d+ijCwsI448yRLJqzgjiSAf9OuG7R+fTu0OZOEUWB\nm4aF8+iyteRk3MQbL73Lw4/785Ty8vJ46Z6b6C2Uk20Use/18dD3n3PxPU+zeuV2ivfXEa1NpcWz\nm9nqT7j1vuvpkhNYs87r9aI9QdHaBLWazvV1zHv+eVJ79aJEkUkVgg2YpgiZMRmB986gkZh2fgo/\nNHbDbGsCRSF+8CA+nDr1hKVYfs2ocYNZu+AAyZHZAe3W2i088+QDv2uOECFC/Pfx6yz9vs/9f5rn\ndBEylkL8ac6bMoGPnl1CRlyPgHZbUy0GrRF7Sz0J4iEM6sC3mUkjkaGz0eJswqDzewAklfmENeAE\n3Ynri93+r5s5f9xkHA0ysWmDMGb8gzetm9H5SlArLjzaTM4afDOSKBHXZzKLlt7KHf31CIJ/TQa1\nxCXdwliyo47osEwSjcVA8AM/2ShR6/ASawz8QJs0EqXlRQCooxJRKvODjMcmt49wj8jOMA9Tj8kM\n9O5o5tvtZaT7lAAvVIVDwTJqAqIootVqOevcQaz/dicZsT0pOrqOa88KFOBsXZ/JhqJATamd4oIC\nPr33XvbvXMcFfSOQjuX9hGslRmnrmTVjGpnZd9I5/pcSNEkoSideeuxtZs19PsBYUavVOBLioagE\ngH1uJ9sMHtR6ifI6B33VGqoOHWbCU0/x1Oz3mFoZaNjW+nzEJrb/+nWO07HLGMbNr73Rbv9/YuK5\nZ1NdVcOWleswKYn4ZBdObQ3X3zmFqKjgnYcny5JPP8X6zbdIjY14Y2IYPvV6BhzL2QoRIsSfR1Sc\nSPLJmyOiEjKWQvwN6dmrB50Gb2Hf+m1kxvVGFESOlO2nqNLKqN7nsefQWnpH+GjvbdbR5KDCVoFB\n59cA6pI9gZ92bWdihhwwrsqhkD1m9AnX8MpTjxMpJDFm+KTWNkuH3mzY+z2p8Z1aBSzdHicb9y2n\nS4zQriesW7qeuft+IC9eJiNSF9RvtfkYlBBcL6zZ7ePAoaM8+e/n0Sdks/HwDoaEtQlSyorC4v12\n7lWb+VnjDjj3neOzeeenI+DxopckmiM6kD70bG64/e7WMVMuuwBLlyyefOBRlLrDeHwx6Nr5AuZT\nQCMIyLLCB9ddT/fiAkrNfq/YrxkY4SCvrpCosDZVb0EQSDX25IkHZxLbYkMRRQZdcgn9hw6l62WX\nseHRx7GrPBiHmrmhVxyCIOD2yny6vIgaZzOSJHHxq6/w/t1307+4hARZZrteT/3wYYSrKoDgxMtm\nlxetKSKo/Y9wzdQrufwfbnJ35GIKM5GTk3NaFLg/fPwJUr+Yx2W/NBSX8PP0u7A/NIPRF154ys8X\nIkSIvxchBe8QJ8U/b5/K3c9eiyexgGpdLp7IcrK6dqBMzqXrmSnU0L4n5GiLDnNYm5ijQWdCn3gh\nc/e5KWv00Ojy8VOxi/qu53DNzXe0O4fL5eLnb5fTp8vEoL5BXcdxpGw/AB6vh1U7v6VTak+i9MG5\nMKV2F1vLmrk8R4PbJ9Pg8AT025xeanSJ1HqDjb7FR3xkRkwm3NYFx6E4DnuyWCd1Yp3NyFp7GLmR\nA/j3gp/YdeNUDqdYsLW0zR2uV3PPOZ24cFgahVFdufH5j/jn3Q8GPex79urB+19+RGbnZL7dVRG0\nBkVRKG305ykdyd+OriyflqERxES079aO0km0OGqD2s2mWGoXLubClau5cMXPlN14E6/ddRcTrryS\nA+PHUZymYnTv+Nb1aVQi145Px2vwG0KdunfnwR9+wPzO2xQ8OIOxi7/lX2+/RVhmX2qaPEHnW3RI\nYfKVNwa1/1E0Gg0DBw2ka9eup8VQamhooPnbb8n5VfuZbjc73nsfRWm/9uGfoby8nPdff44P33yR\n6uOkK0KE+F/Gn+Ddcgp+Qp6lEH9jOqZ15J4ZwfIAAA/kbcRj3xkQanJ5ZYocCaQZzAFj61qa6d73\nIfbW5uNstpPXks/j9/77hA/ALZs3ESZpEIVgm18UROoaiqm3V3CkwsrgrmMx6SPYkR9Of9o8Pz5Z\nYevRJqYcC4+lmXWsOGJDVhSi9CoanF72l3kZ09OC6ayL2PDz1yS5y3CgZnOFSKdOtxBh8od8zMZo\nhlkup8S3lWc/Wogoiq1r75LTlSk338yLt1/Mzd28SKKAxyfz0foStBo112fKbHnlOuarOnLDQy8T\nHR0dcD1hYWE8NvtrZk6fynd7DzChaxSCINDs8vL66hbMMZeRu/pNLrHnY+sfzoQ+8Txd1L4G1LYq\nH6lZ/YLaa+pK6IcHUCEIAgMA7ffLWDNmDDlD+pETv7fd+TrF+IUoIyIiEASBgSNGwIg2fa1rbruf\nl2aUYD6yi0YFXIpAeYPMOdfec1rCZaeaVYsXM8xmh3ZyqRJLSigrKyM5Ofmkz/PBq08hWJczPl2F\nosA3j3yHrvtErrw5WKcqRIj/JfzG0sl/0fk/ayxZLJa7gaeA4zXIzwb2Ax8AZwA24FGr1frBccc9\nDVx/bH1zgLusVmtgfCbE347q6mpeffZtao82oSgQHqtj8jXTWfzByxgr9hIvOclrUVNtTCWuRzcK\nqvfSMSYHl9vJ6tyFiIoTR0wqndKGcKBoB30zU7nj2lt49KUnSe3YMeh8ep0er6ex3SRzRVGIliop\n2PscFUp3+lr8D29T7Ah2Vy+lR6x/fG55M4NT2nJqJFFgXJYZt09m0cE6JlnMxFQ20bGomOGTL+by\nG29l+9Yt5Obuodt2NbHmpIDzioJIS41f6+gXiYQVX33Fzk8/Q6qsRNaoebRWIStBx4HDpdw9KpFo\nk9/b1QXw+ip4e+atPPj650HXq9FoeGrWHHbnbufTRXPYtWYlTRVuIsUEkvLeY4bKw/d6hUsHJyMI\nAj0yIrGW27FEtYUVG1wytRFZGBR3wNyyIlOUO58btIH5Wj1FkflfLyJpxKCgwsCt14yCLJ/446lS\nqUjtNYi6ajWTz+qKSiVxuKCKVetWMWLMxL9cYfyPYggLp/0Ud3CpVOh0wWHbP8rPy5aQWvYjfSxt\nc13QSWLDocVsWtuXQcNHnfQ5QoQI0YbFYkkB3gaGA3bgOavV+vqJxp/uMFwv4H6r1Rp23M96Lfy3\nCQAAIABJREFUYPaxxcUBFwHPWSyWgccu4FZgAtAd//NjKBD6avU3x+Fw8MDtTxDj6kFO3HC6xg+n\ng9ifOa99zdQHnmbi43PYrHRArxLp4z5EVNUaRP0eavQ7+G7FXQwJ28ZlqQcwVr7B0hX3YWuuIzMp\nB9O+wzw4ajxnZfXk3jHjePeRR2hsbASgT79+hMVo2HdoedB6cvOWMzTexvnZEio5r7W9U8aZ1Jgu\nYn5hHEsKdawpl4k3BXsMNJJIjF7N/jIHo9UmVD6Z5uZm3nruMZa+/TR7vn2Pg3lfUmcrCzpWQovD\n4Q9NLf3kExpnPsYVB/O4tL6BmyqruTavCreYTveslFZD6RdUkkh31VH27tp5wnvdo3dfbn/0Vbqp\nE3hFVPMItdyglQmXJGTglzSlc3olkpJiZl1FC2tKm1iQZ6Np4JV88M33JPVWcaB6HUVVB7FWbGfl\nhje53V2O1I5BJHg9jJl0AcsK2jeIdhU2EhERcUKDqaioCFvtTiaO64FK5TfGMtPjuPQCC++/91rA\nWFmWWbPyZxbN/5za2uBQ4X+DURPGsy4hLqhdURRqMjODvIB/hr2rl9AnKdjoGpKqY8uPC056/hAh\n/s78Uu7kZH9+b7kTi8UiAIuAfUAUMA6YabFYBp3omNMdhusNfHh8g8ViMQHnAdlWq9UNbLVYLJ8B\n/wA2A1cBL1ut1spj458GHgeeP81rDXESzP3wczLDBiD9qvCrJWYgD97zKL7qvVya3HwsHKcjnRbs\ntq18uz+X6f1MrYnIPeKgS7SPBUV78PpGclATyfiz7qG/pOZQ4VZ2f7qE0nXrufvrrwgLC0MV04lD\nG76lrvwIGZ3OQgDKrSuprdxB7GC/nlBqBFTUF5MQmQpAZuogMlMHYW+qxXb0SwqbjpDezoYtu8uL\nsUEiy6BjfUoym598gAGu/WSqJYgDJbaUbw+8Dl1uIyqizcOk6B3ExsaiKAp7537CVb7AUitJooiw\nejUJZ0ZBOzldnWNU7N23k2492+qiybLMd4u/Z8emPSAInDF2CEo7ukZDZR3LcysZ3y8RgLHd4xnb\nPR5FUfi4rAO33PswsiwTYZKJMR6hxZ5LTHImKdGZRK8qDZqvyuslrl8/IiIi2F8is0GqYUiOP2Tp\nkxXe+u4wVUfs3DmuFxqNBm1iJpfceh/de/VpnWPpkvmMGdU5aG6jUYejuaD1760b1/PFiw+T5izB\nqFJ4ec7zRPYZw10znzktuUi/F41GQ5877uCrp57mHIcDjSBi9/lYGB3NlMcfOyXnkLwnVh6WvKcv\ntBAixP+nDAQS8TtzFGC/xWIZDNSc6IDTZixZLBYD0Am4w2KxfALU4zd4dgIeq9VaeNxwK3D+sd87\n4Q/THd/X6XStM8Sp4WhhJTH67gFtdfYqduSvJTU2i2jtRtS/EjZsdvnI1jiQxEABQbUkkKwpZXXu\nN4zsfwlqld/7kp0+AHtMOuKqF/j0mWeJ69WPCLkbZ7GZq1yF7NwyC4BeOi1KhJl/b6/g/EExaA16\n8jZ/CH2uICHOv/uupq6Uis0f0DvRQFFUFim+/IC8qkO1To7U6empMrFQEqlMiadz7QYMhraPjCAI\nnJvh4fODCxg68HYArEc20XtSJwRBoLq6mtjy8nbv1ziPj+9q3JyZFWgsNTq9vJtrJ8KzjcIX8khK\n6cL551/C/dMfweRIJy7CLwK69P3tHHKruUD2oT3OQE1Va5i/vYGOKWZyEvzhLa9P5pODCufceScA\nj06/iQ4la+inF0ECz9FCVjZF8UZ4GHfYm1q9Sy2yzMLMDB68/nr//XeKyCvrmb2tFpVOwl7volx2\ncenAKATBA3igZTdzH/4nt7z2BWnp/p2IsuxBrW5fQFIU/N6o5uZmPn3yX5wZbgON/x7H4KBq9zd8\nNCuBa6fd2e7xfxWjL7yQzgMHsviNN5Dr6zGkpXHrtGmEh7cjIf4nkMPi8PrKUf2qbI7T40MyJ56S\nc4QI8XdFkp1IvpPfKCHJrv88yE8f/F6l5y0WyxX4I11PWq3WOSc64HR6luKAtcAsYAUwCFgMvEjw\nPuIW4JfEBeOxv4/vEy0Wi+aYJyrE3xBJLaA4A3OHdh5az1l9LuDA4VWkhwd/EGodXlLC2ldqjtO5\nKPUaiTAFhjjCw2LJC0/BsH8fmxtV5O/ZwEs6AZUg0E8fGMZI8ql4a1sFklnkCdnLgS3vsFMTiSJA\nZ1c9N2ol1ta0MOH111j4zkvU7F6PWVIod4YjRQznwsnnUlZ9hLKt7xO28gcSBwUnIwuCAE072bR6\nFpFeB4OcFdhyzqW+vh5JkmjWaMAR7BloBhr0HalpqiXmWBjQ7vDwdp6X6x74B83NLo4UV2JQWbn5\nxitIV0/CHNF2L5KjshAFFY80fcKMJjvhxwzRPJ+P5DHnYus/lLmblyPJLpSwRC5++DZSOqSyYe1q\nIgrWEhfW9lBWSyKjw+vZmjqQhaoIlPx8FElC26M79z74IFrtMckESaS/2kB/J+CEDx0ORvePDPL6\nDDba+WzWS8x43q+f1KVrPw5a19PZEpjf9d3K7azMP0juI5OxVzQQ7arAJ+sC5A7i9AKbNiyH/7Kx\nBJCSksLNzzxzWuY+/5rb+PTx67m6a1uboih8elDg6qduOy3nDBHi74I/wfvk05JF+XebCFH4c6Z/\nAjoA/YEfLBbLEavVuq69A06bsXTMc3TGcU3rLBbLXGAE8OvgvAH4Rb75eMPplz5vyFD6e3PuReP5\n+LmlxBiTKTy6FY+sEBORgCAIREdmUFAuEPmrPN6UcA3bjjaRHB5sMB2q9tB3UPuCf7JKT0WTg325\nViK1RvSO9kM0elHk6p5xLDtcy1tumGmM5QzBn++Ezv/Wb9BqSE1NZfoTL3Pf1KfRRuTQ0xiJeMxb\nkxSbQU2UhciqqhOqlZt1AraqTVyqiWGP7GTp4k/YuupLoqOjKaGF0V6FCFXgR21VYjyPzprDu88+\nhC5vJ52MLXx52M3Uey/n1c9/wBEtY+xoovlQE169i/JqK2bj4IA5EiPTUIaPZ0Ochsa9+5DVKiwT\nJjB9yhT/Oi+4NGit65Z+Tad2KoGIgoBcW8IdX37c7r0EEDp3xltRheoXz5NGaVdEVBIF3LVHW/8+\n44zRzPz3EhITzESE+0OjC5dt5oC+hj7X/aK+HUNTTRILZ23i4qhAPavGquDw4P8aKR1SOfu2F/jw\n45fR2IsBcEekcf499xAXF5wvFSJEiJPCBdRZrdZnj/290WKxLMSfIvTXGksWi6UvMNZqtT59XLMe\nKAbOsFgsHaxWa8mx9uNDbweAzsDWdvpC/E3p2asHdS0P4Cu2MjJBpNEts+aomkKdlrTkPqzLT6BH\nbFVAKREJgZ3lHgak+Ag/bhdWbYsXR62M09WMTmMIOI+iKEj2MvJM6Zzd9woqawpYuSmPM3XBb2Wb\nRsaokdCrBCxdDLy5146gj8Uou5ms9hEmitg6d8JsNrPshx9JMGUReZz20y+Ep/Qho3wL20qa6J8a\nmNzU5PahlkQSzBpmVVWjTVQzPsmEKMDeqlLSdRL3t4jc7zXSUaXG7vPxrTmCUQ89hE6n4/ZHXqCh\noQGrNY+UHz/lnYUriJoQh/rY9cSmmfEM9LLhhZ/owuCgtUmiimsf+AOlPcQT7+kQ2pFgOJ4rH32U\nNy+5lEvLyomQJPAqJzQgOe51EwSBBx9+ng/ef51G2wFAZlVBPn2vtgQcYooxUNG/A9V7jhJraEu6\nt7u8v+/a/o/TpXtPurzwEV6vF0EQkNqpxxcixP8i/gTtk/+ci3KwntsJOAioLBaLeNxO+9+0h05n\nGM4OPGyxWKzA1/i9TJfg9yyZgactFssNQDfgMmD8seM+Ae6xWCw/A17gAWDuaVxniFPAx2+9ynDx\nCHEd/Q+5cK3EZZ1h8ZF5tMRY6NP7Fr7MfYc03VGSjB4OVHkorJKZMO41luUtxODNJ0brpMqpp8Rt\nZuDAXmzeMoezRt2OSmp7cO7OXUCVzkt2nF8nKC46je/0SSQ5iul8bAu3oijMczTQMdvvypIEgcwo\nLRuSUhkx+G5cbgfP7FqE4CvmmRdfBCA+IZ4Wz25cnih8sheDts394rRX0FunZ0VhNYIEfZJMiIJA\nqd3FppImzuscxZJdtSSm6RmZ0aZInRKuZWd5M5nRImtHXsAOhxtjYgL/vOmmVlkBALPZzIABA1m6\n5GNaImXifmX4qbUqonsZsVfWE25sK5Jrb6knc2DqH3qdxl54BT88/AM5EYFhUa+sEJ7W9QRH+YmN\njeWCV17iw1dfxmRrwuVJZ099Hj2iAo2l4mboe8G5AW0ajYZ/HtMLKisrY/8X09o9R/LQVPZvKmLk\nMWPpUL2TOl8Esz+cw/VXX4n4G8be/woqVUj+LsT/X4iyE+mUGEu/e47l+KNYj1gslsfwJ3xPBk5Y\nLuJ0huHyLRbLRcDTwMf4PUpXW63WnceMpLeBUvzht7utVusvnqRZQDywBX+J8rnAS6drnSFODfkb\nVzBQH+xhGN3Byw/539On2xSGDvoXh47u4/vi7YzofR5Hts9Ho9EzoPe1eLweWpx2cvThpLuaSRki\nMO3NMbz8zCxK8irwNjvxumuJTDLQUuogwhTDoaN7KaspJLzjQGY7OlNftp1sZzFqnUxmJwMpUVoU\nRcF9LBauP2YAaTV6+vW/jL3lqzEdM1pMBi351jm4tB7UgkyNL5rY5LNJTepFefE2PtImolXFc9SW\nR42jAQGBeKOaC3KiEAWBBqeX89KDt5D3SjSyNL8ejV7FLU88FdBXcPgQ33z0GqqWanyilvzD5RjP\na/PIyD6ZvO8r8Bbp8TSHsa5iKWf0moxea8TlcVLs3MHdV/2xHJrOOV35ty0Sla8SS5TfIGly+/ip\nKZoX3pp5wuPq6up459E7yFSKuThJ4aBepMzYifD4IWz+eR69DC1IosDuJg3mAecw6aJLTjhXeHg4\nckv7odPGyiaabS72KAr1HgVjuJGB192PNzmbh596jicfuv8PXW+IECFC/Bqr1eq0WCyjgDeAKvx6\nj7dZrdYtJzrmtH6FsVqtS4Gl7bTX4/cytXeMDDx87CfE/xFkRyO0k6utV4sUle/ASThen5cwQwTj\nB12FIAgM630++wq30CtrKGqVujWZ26gPp6aqkLi4OJ5+aSYAPp+Pf9/3BNUHmhk2cixb81aRGJXK\niJ7ntJ5L6XY2a7e+w4UpVgzHdl/9VGCjd4KJwgY3EdE9A9aWEdWXLz6Zz8WXX8gb90zluuxfareJ\nQD0/FX7MnM3zGNH/SjI6+Hf6bd75EV31uWRF+S/WJyusPtBAqlpzQtFGWVbIz90d0LZvVy4/z7qX\nKzuLiDH+4wbpXDw2v5CEGcNRZIVtb5Yy1HQ55pgYiAF3kpNlO74gy5JGeqdkXpr+RFvy9e/k2cde\nZkT36ZRU7GV38RYkwQvaDhBpDPB2/Zp3Hr2D6zpWopb83rr0GGh2HWZ+rZrpH/7Igrnv4/N4uP6y\nq+mQ+tveLpPJRJSciM/rQPpVzpNtZQEzJ3Wm2e3D7ob5dgtDew9FEARqkrPZtiOXfn16/6FrDhEi\nxN8bUXH9kRDab8zz+5PErVbrYdoiWv+RkL83xClBFREHjqqg9lqHD1N0OkO6jQvqM5uiqbVVsG3v\nQiRRQ6fMMzBoTRTVHODaqRMCxr724luY7JkkZPlLpNib6hnbb0rAGEEQ6N/zKmb9NIOuZjuyAj0T\nDKglkfmHtJw3dmDAeL3GyI+vv8Dqt59nYrYXQQjMETmzo5oKexW1R79CrVLokNiDgb2u4eCRDFYd\n+JZshw2DGy5VhbPEZ8cnK0GFaxVFoaLezUhVBS0tLRgMfs/RsrmvcU1O4PmyY3RcmBjOlvwamip9\n9NGei9nYlkOlUesY3+8KHDGHuefB4N1hzc3NfPPlRzTVVZKQ1pkJ510cENLx+XyUFzTQNU5PVmp/\nSO3f9jrZynnv3Q/55y03BMxZU1NDUWEBWZSglgL3ZRi1KsLqDqBWq7n5Lr/HZ9uOXGZ/Nh83EoLs\nJSe9A1deenFQXtND0x7jnmdvx9DTQ1R6OE01DirXt9C142heyt2OOiKeJm0MPcZOaT02s+cAVq1b\n/H/SWPJ6vVRVVREZGfm3VywPEeKvRvQ5EX2noNzJKZAfOBEhYynEKWHkhVex452H6Gxs+3YgKwq5\nJJOa2aPdY9ZtfZdUdjMiRotXVli9aw1FzniMSZFkZd8eMPbw3lI6Rabh83nZtH85YYb2q9XrtUYS\nUsbRpNTjaNjJ8kInLYoWRROP8CsRx8LCbdzgbmKt245BHTyfIAjEGlSMzWziu4JPMUd0JMwQQeeM\nEbj0HrTVu7ix0r877BzC+dJqZ3jnwHl+OmJD7xVZW5HP4Rv/wW0PPELnnG5I9hLa+/hNyonis9l7\n8RlSGNglLahfJampOWoPat++ZT0b5r/AZQMMRCVqKazM4/l7FnHNva+QmOjfsu90OhF87RfXjQyL\nY9Hczzi8v5jHnp9B7pb1bPjqXeK9VTQ5XZRX1dLBGIclPnArXYreRVlZGWazmdXr1vPDtgP0GNfm\nNK4qLeTZV17n/jsDX8/o6Gjef/YTvl++lF3bdpAZm8ylj12Bz+fjhovPZoyukj7xVRxc9Qhrv4ml\n+9Uz0RmNJ9RrAjh8yMoPC95H5bXjFQ2MmHgl3Xv+9YaVoih8Nvs1qvauRXI3UVprx+VyM6SjkRqv\nBk9MDjfNeCZkNIUI8X+IkLEU4pQwesK5tDQ1sv6rORjsR3GLakjqzH3PP8eqn9ZzcGUJLpebgvKD\nqCQVdbaj9NTtYViq/4GhkWB8OmwuPYTeKfLIpWcw8OJ/cuEV1wDgdfm/Mazf+wN9LSPYkb+23XX4\nfF5kxYez6QjnZXiJ0OkAHyW2QtZsfZOh/af5C9A6bLgOLsWJyDbZQO92vEIA3mMV5Ud38LI4fwlx\nsV2pKl1KhFiBLzyMe00+0r16Yg16Snxa5uSW0yVWh4jCnkoHEWYtnbOM9IozIPj28sUd56PrOxH9\nCXaeeXwyl/aO5VD173+Q+nw+Vn/5CtNHtyV/p8UbuWeMwmtvPspdT7wDgMFgQNK3nwB5uGw/vTKG\nESMnct8dD9FbvZPrLGr8Kh86IILZa4uIMWmIMrbFWwsdeoZ16ADA0lXr6TXx8oB541LS2H3ESmlp\nKSkpKQF9giAwYexEJoyd2Nr20oxpPDNCg1Hr/9eUEgmjfE08Pmcm+m5jueOySe2uf8OaFRxe8QY3\nDYpEFAUUxcmS7x6n5MgUJpx/2e+6j6eKd559mIHOjYzP/MUwDWdHsY2yBjuX9Yin2bWPVx+axv0v\nfvCb84QI8f8LguxAPAXVX/0at6fHrPnf31oS4i/j3Iuv4JnPf+CmD1Zw32erefLdz0lO6cAVV1/K\nkcZN1NnKGd5jAkO6jWPikGtpjDiP7ZWBBkpmlI6Vdg/V3hq+eucJ9u3Zhdfrpa5yP7t+fhmNIGDU\nhxMVHk9ZTWHQGrbmLaO8ahVTMhqIOG5XWYcIDYPM+SzaMpNDztlUi5/j6uDls+jODBh2L+uCS7xR\n1OAizuh/4GlVIk1NJciVn3FRej1jOmoZGunm0kyFlg4GVFPGcu2lGXzx4kSuuW4QtnAjV5yRRo5Z\nQ98EI5IoIAoCfePUmA9+T3GThCwHu4yX7KvhnKFpnNlTTXmtNajf7XGSmBYZ0LZuzc+MyQ6eSxQF\n4qVKGhoaAL9xMvis3pTbCgLGuTxOiiqtJMeko1XrqCtq4sx20o6uGJjC0j1toda6Zg/exF6EhYXR\n0tKCT20IPgjoMmgki79f1m7f8TQ0NGCqP9BqKP2CShIZbCgnmhaSk5ODjlMUha3ff8QVQ6IQjxm8\ngiAwqY+Zgi1f4fGcfC7E76W2thZV8UY6RgZ68PqkRlBpd+GTFYxaFVm+I1gPHvjL1hUixN8ZSXEi\nyY6T/1FOX2mgkGcpxClFEAQSEhIAqK+vZ/6c92hubMRR5WZQn2EB43KyRrNp2yF6K4cQBYFNDW7y\nO8cycPpwVBqJ+qIGbrj3Cs5QZ3BPeT6lHh/bel0EQNe0fmw+8BNHawrpnNobt8fJvvzv6Ko/gFZv\nQ6eKDFpbZqSGQUkR3HRnmyfj3XfXI9pUuCImsqTgR4YkONFKAtvLm3H7ZEZn+HOkXF4Zp6OGkdnA\nceE8QRAYqK4id9M3TLvRnwOUnhBGWpSeXYUN9IsO9hAlGyWOSDre2uviyiwXEQY1iqKw7GADphgT\ncWY9Z/XSsWr3D1TVa4iLTAOgyWFjf+1qHrnr3oD56msqsYS3H14z6xQaGxsxm80s+OQjDq76lrqj\nRezMdaDSd8VgiMMnywGJ8hGGeOqbDxKmC5zToJEotslsLW6ioEWPJ7EP/3zAv8NPpVIh+4KNErfT\nwZaFszFV7ub1gk0k5Qxm8mVXt6shVF5eTrLOTXs7BbrGaojqlA5AVVUV38x9B0+Ljbi0LnTrP5TO\nkY1A8G7EkWk+NqxbzcgzRlNSUsy+XTvIyO6MpVNwrbpTwea1KxkY5wWCX4/sOCPFdQ7SYwz0iZfY\ntmU9ls5dTss6QoQIcWoJGUshTgtffPA2OxfOprehiboGN1kpt7c7Li5xCMW2fcQY1Fgzo8m5qFtr\nX2RHM2kdjVy+Mp8olRpZVrDXHCEhyh/2GdjlLJqdjRwq3UN5+UE6SRvp09FMVXBKTyu/3rA2depg\nnnxkPT0zzsfdYTCLcz9D17KJszONAZ6p7/MaiUREEIJ3jBk1EhG/SiwUUIATJxsaVQJ3vvolCz5+\nC0dlAT5JS12Em38NaTy2ToHH/5HM4s0/sNUqsqvUS3iciokTs1m9YhZffq5wyeW3kJmZzZCRY/lp\n1kIuGRRsmBXYDYxPTubNZx6FTfPob1AgFoiFzeW52Izn0ynDr5Re21hBaf0OSmsO4lUUGp1ePllf\nTGOTGwUFg15NuGUkydfeyZCOHQN2z2k0GvSyG1mWW7WQnI4Wtr1xJ//q7sTcQQ2UUHroEM/cs44H\nXngvSDMpNTWVn536dqQ3YV+9yLCeffjpu6/J+/YNJmeL6MIlyo5sZ86yL+iR7p/L55NZvKWa/KNe\nUmJEuqbqcLlcPHfvjaQ48smJlNm7Ahb4krnh368SGxt7wtfozxAVG0eNQyE52FanvsVDTpL/nhXU\ne+k4MlTyMkQIOJXlTkSgnRIFp4BQGC7EKcd68AAH/h97bxkfxdn27x+zbtm4u4cEgrtLi7RAW6SF\nutwtVepKlZa63XVD6i1SCi0Opbh7EqKQECGetWxW5/9iacJ2w13a0ud5fv97j88nLzJyzTUzycw5\np3zPJe8xKLAVtVyCXCIgul2dbiuKLqSCwHaDnbTJvl/Z0iMNrKGVxQ4jWokE+4ntuM4aS6sKICe5\nL0mtNciNHuNEQMDuclNhdLGsLIBllSksLY9i9QkXqd3TvcaXSCQEnyndV8hVjOh3E/rYqawotFLU\n0EpeTSubDjQzxaImztl5vo/LLSKXe393uCRSArUKWh2+5+10i4gBYbz+8Utsrz7MmgMHOJpfSGxC\nBp/vaGnfThAEJg2IICnOyg235fLi85cyZFAmY0ZkMXNqFl8sfI22tjYiIiJo0eZQUe/dcnFnsYmE\nnuMwGo1Ub19JvMbbeOsfLcdY9wuiKHKk8iciux7msbndePf9aWxVJfDQd3lkqAQGRakZHKWhW4CM\nqsJ84uPjO5UZuOOma9m++DOMzU0AHFr2MY/0sBF0lhp3XLCSi7RlrFmxxGd/rVYLcb2pN3t7qMw2\nJ5WqNCIiIjn844dclS1HdSbROyZIyX29JWzef5rKhlbueK+RI+WT0Gjv5kT9lTz7rcjGZd9yVVgZ\n49KUJISqGZGs5pbkBj55rnMD/u/Qf9BQdrX4Wkput0hVcxthOgWiKLLTGEK/gUM6GcGPHz//F/n/\njZ5+aGhoEHDv9ddff8E6gfv5a3z2xjxyWgvbdYeC1VJ2nzISF9PHZ9sdR37EYj5NYZuD5ImZ7WXi\noihy8vPDXByqZOqERNJ7hrDOaiKsroFjJ/OwytTIlTqqKg9Ts+8rZtNCgbuNmFgV0To58w8ZsARc\nTM8etxIT3ZeYmEE4VOm02Kvo3Sfeaw5bNp8iVNVhqDVZTDQ3NOMuqWacTcskuZ4YmYIWm4tGjZtA\ntbdhtLNeZMSgRBLPqhQLDVKTf7KJo5VmUgIVXue1yaCjNNiJRV2OcvthLgt00EVqwHJ8J7sqXOQ3\nCoSqnVTUmXnp5yoKWyA0VEtiQgTSM13pBUEgPlbH9l1ldOvWgz6DRrJ6fw1bD5/i0EkLu6tU6Lte\nzoTLZ7Bq+VK0+WvatafOxmQzs/10FdfcnMKQwelIJBKkUglHDxTR19mMRtGxj0QQSJS3sq3CSP9h\nI33G0gcEMGrwAPJ3baby+GHsx9YzOtlXBypEI+PXEiP9R13is6734JEs3l7IsbIajGYLu09LOCzN\n4s6n3mT18u8Z4NyP7ncK5xJBoLjRybur2xicexdalaciUaXQkBTVkwOHf2VKruAlXyCRCLQamxHj\n+xJ+AXuvCYKAPiaFxas2k6ixe0KXTVbe+aWcS7tFcMro4ocqPdc8/CrBIb5hQz9+/rcwGo18/vnn\nAG83Nja2/NH2F4L293ZmE4FyO4Lo/Fs/Zpubzwv1/8g5+MNwfi44rrZWr8oyiSCQpSnlUMFKcjMn\nIJFIcbld7M5bR1byUKob44mVuzm5q5zkgZ6KqYo1JdwXrSXpTPddjULKVSMT+FlTw4176yg//AVb\nbS6maJRkK+WIooQyq50+eMJiEmUGPbMv85pXTGgKBaeqqK0zEBnheaGWlNVSVFhPYHolEkHCoZId\nRAbHIgkLJNUeREFbGxln2qiMU+tZUNhEUaiVgckB2J0iu5vljLz5UbYf2kgvqwOd2uNFSY3R0xoQ\nQ0B2DosLDqFy25DJVUR17Y8tRiB9AtS+tIXx4R2hswitnElqI4fIZoMpHbu1jHseHYsth97lAAAg\nAElEQVRSIaeuzsCnizYw/YpBhIV6PgbCQvXs3O/JTBcEgZk3ebrTGwwGz0v7zEdDQGAQtefQMJFq\nAujTK4FuXb0NyKaKGjKVvsaVUiah6cS5E5PVajU3XXcNAHMOreL1nwtwOVyIAkQEa7h2cDwyqcQn\nHNo+H6mUOx5/EYvFQmVlJUOjoggM9NwrU0uTj6EKsOLwacwGK0mRE5D8rspQEASSYodypGoV3eO8\n3fOpQQJlRQV0yenKhaR77/5k/PsHfvxmAc21lUTnZPOvad05dmA3iakZPDFoaOf99Pz4+S9FEB1I\nxL/f7kQQ/zmTxm8s+TlvrFYrzz/zEod2FyCVSIlKDOWNd15Cp/N+CUWmZGEs34T+rKqm7uEQbtrI\nylXbiFVHUGozEBYQT1q38dQ0nqRn6hh+WvMekZlWNCFqAquNJOVG+sxhXN8oPjpcgNlg49GwcORn\nXjrfWFsQ9AI2p5stBQYiQwZ0eg5pkf1ZvXol113bn40bj7Nzs5mxvW7kRM1xRERUcjU2uZkhVwxn\n/KgX+OKll3jh8CESWgzIRHC53VzapCW/wYpKEIhJSWDKNTfQNvUqvvjwVZxNJQiik9JGCE3qRahO\nx4RrZzF02Eja2trYsPon3lz0EsJLzdyo9/33k0oEWk8eQxWlZua0DhHNiIhAbrvpYhZ99Qs3XTca\nAIOxlYCAEADMZjOb1v7M8c1LCXXW4UagRRXLJTc+yMiLxrL2k2hiqfc6liiK2MNTiQrqJMb/H5rq\nCtI/fmwc2reHuuNHuSRZ024YGNqcvPpzEdMHJZPca9h/3F+r1ZKZ6Z3TM/KSK9j8yo+MT+8w4vae\nbCFUq2Biro7FJZ3nHwVoImgw+YZD85sE+ub+MzpMarWaq266w2tZdtdu/8ix/Pjx88/jN5b8nBdW\nq5Urxl1NYmA3Ls69BokgodFYx6RRM1iyZhEhISHt2864eRaPbFzBSHeNl4fpZE0rD0kEMsUGvgrR\ncihCg9lqZED2RWw5/BPZoSPZ/uz3xGRIiDXZOp2HVCJQonSg18PXrc3IEaiVu4hNV9F4SsamnUZu\nUwfx3jlypBwuOz8v20HBITtmAwSoQ9hn+JXc1AFoVQGUVB/CntFEatpwuuR2Y97XX7F0/nwSXnyZ\nCLkMxRkjoisej9DG2nqqq6uJjY1lxIQZfPnZdxwv2sXMGd3o2d1TvXUs/1f+NeMNQqyNpIt1XC0I\nrKg0oOne+cvdbjEyYmiS77lLJWjUSk6fbqHmdBN7D9Yw+4FX+ffzD9BWcwRFSy239IvBo4sE0MCC\ndx4mfN5XjL/1Yda/+wx9tCYUUglmu4s9jgjufGYeq9csxeFweQk+pvfOonJDNXE676qu+lYXqaP+\ns6ED8OL9t3J1itZrWaBKRkSrkwXFat59dto59jw3CQmJNEb0obLlIHFBnnkdqTRy85AE7E43loNH\nAV8B1BO1B5nQy/s8Wu0uTsiSuTI17U/Pw48fPxcYqRykF8Dbeh4fcn8Vv7Hk57x4ed4bxOiyyEnu\naJERqo/gkr43MGXC1bz5wUv06OnpvaZWq3n8/a+Ze/dNSAoPIpcJyCwiI91aMpWeF3lOYxPD332H\nFYvXUllhp2tKP8rrC9Cr0wh1yjAa8hBF0SdcUW+yEaqRMjwrCIfLjVuEdJmEGrMTmUXkyQAdgiCg\naiztdP/DeavpktoFtyuCi3qPQCKRYnO0sSt/PSlRXRiUaeRkaSNjnry4fZ+giAisEkm7oXQ2ZoUc\nnU7Hll+38+0HqxBcMOvW/qSmRPLLxgMU7DpGa4uZlpPVDEsLJEjtKYu/JD2IfVVmBsT7JkobZQGE\nhfgut1rtlB09TpSliu6JAZjkDp68/TKem5bItyeauLpPtM8+MzJFls1/h9seeY5uvfrx7cfvYDU0\nEhKXwgu33I5Wq0Wnv4kFnzzLzGk926/XyDG9eGDZLoa67aTqPcsqzG6qYwbw/E23ed+T+nosFgsJ\nCQlIJBI2rl+DyloH+KqiZwQrITXbpxLufLnziZd5+JYrEWoL0AgO6ow2fi1qZHhGKFkhldQ2FhMZ\n2pHE32KpJ6t/EvsVevYf30+SupXqNiXGoEzumfvaX5qDHz9+LjASGXQiCvznx/nn0rD9xpKf82L/\n9sOMybkaALfopsXcgEquQaPSEa5O5stX1/JF8He8+OYzKBQKoqKjuef5Nzl8+RUMckmQyr3/Eeo0\narrHxjL3lTnU1dVx7EgeiUkXkZqWCsDxvKMsff9+pmZ0/PE7XW5e3NBAkzmGrtZmQs/kr1Sb7Kw5\nbOYdbVj7yz5HMPJL4VJ6J49HrdTiFt0U1exj9DUj2bs5n5yIDu+IUq5iWO6lrNr1LkufiKSmOZBf\n1q1k4hUe5ecR48fzymuvk17f4HUOblHEkJVJYGAgy774mS6Rgyhs/oHUlP4seG85oSeLGBwghwBw\nZIewtrSZpEAlCAJxegUNVgf1FjvhZyliHzGrCEnJZsP6/Uy4xLuX3ZIvfua1mZloz+gf5SbD5N4h\nLFhXjFQU2wUZz0Yll+JsrgEgIiKCe+bM9dkmOjqa6TPuZ/HSBYhuIwggSIJ46/OVnCwpZsfqHxBF\nkd4jx3HjiNF89fbbGMvLsWk1WBQWIsMkaDUyvq2xERefy4lfvyAqWOVzHPBUAsqUna87H96d+zA3\npjQT06Mjx2pnaRPr8+u5vn84iw8s5XBhKHYxEKPoZuTE4cy660GParvFQkVFBYOiowkKCvrLc/Dj\nx89/H35jyc/5IYJEIuVo2R6aTfWEBUZhtVswWppwuV0khmfTajPz5kvv8shT9wOQmZXF4vR0hpSU\neg3lEkWqszKJifH0LIuIiGDUGO+KpKycbrTdMJeF332I1HAKtyDjWLWdlJT76aEJZmfpBuz1hYhI\nsEpDyblYz5LyMiRmE+UqJaG9e/Lszbeyce0W6mtO4MbJtfdPoKa6lmi1ryChIAikxmRhtTeQEqVj\nU15++zqpVMrIJ5/kyzlzmNTcgl4qpdLp5Ke4WG575RVqa2txmZSgBZlMoKKiDoqLSQzpCP3IpQKX\npAfz5ZF6RiUHkVfXiluE1aVGUsI1NLc6MUs0hIXJiDMcoeWYmsruKcTFeUJ1dfUG4uVt7YbSb+jU\nciKCVFSc6ly5VhRF3DJtp+vOJi09g4cefdFnuV4fSFxSCvHx8ZQWFPDWuHFcVteASiLh025h3Pbs\nTC/v3eatxxiYpWdPawB2VxsKqbcHaUtVGw++dtvvD3NeVFVVEtxwgJh07wq7gakhfLK1HFEUmdZL\nxzRsfJVfwxVPLSA2tqPFilarpUsXvwikHz//55DIQHoBlIz+osf6fPAbS37Oi+xe6Ww7sJrY8GS6\npfRrX+4W3Szf+hkutwuNUsfxojqv/a57600+uW0WI09VkiaRcFwU2ZKUwKy33/7DY/boO4AefQe0\nh9Nm3/gEwQEe46FbxjhgHOAxCAyBBUx8cDbvPn4XibZThJZW8eltP1BocKEPUNCgllOi2UlznoMh\n+ms7PZ5EosDhdGO02FHrvcu6B4weRU6/tSz78CMsp2uI6tqVOddcg1wup66uDvGMAGWrQc3aFTvo\nHeTrDhYEgXCtnFi9gli9ArPdxbKiFh69rAuvbzjJy2OSWHaghjFdwghQyVi2+Ce2KHTIVCrKik9x\n5/iUTuedERuIyWJnX7mBPoneoa+f8powR8lobW1Fo+m8HYkoimxau5o961cgut1k9R/GsDHjWPDy\nowSZywhTOFhh13NidzWP2pwgk7FM5uTK+yb7hDlHDM3mu0+Oc+fUXJ76cAfd1BChVeByi+yottAc\nmkV8fHyn8/gjtm9cw5DYzh+GYRoFX285hU4p47BBwQ3PvetlKPnx4+f/MFIZSC9Ac7gLYXCdA7+x\n5Oe8mPvi01zcfwpDcsd7LZcIEob3mEz+yf10S+mH0+79B5+QksKTa9ewccUKVhw+TFbfvjw9fvx5\nl06v+3kFu1YtQbS1UpZfRWhOKsEB3l4oQRA4cuAA+1f+mxu76BBUHkNlWJyMHuFOdp0yc0VsIF/u\nLKDLXQM5/P4WhqZP9jmWRDxBZLCeDzY1ce2cm3zWBwQEcP1DD/ost7XZOG04QWZUHzIihrFh76/0\nSv7jc9MppCToFSzcXsmwNE9YyHmmoa8gCEzJ/s3wcXA6IJj9JQ1kJ/qGj4oqDUwelMTa3eUsPnSa\nMekhONwia4/VEapTMk19gNfunsotz31MTGwcbW1tOJ1OdDodoijy/IN3oi/eRI7Oc09qv/2Vm199\niveuSkETpwAUlNUbiTC0gMpTOdcapCY4uHOlXJlGS4BGzquzh/LjthMUVDQjUUgpVyh5/7Nv/vjC\n4Omxtu/gXuJi48npkgNAcHgkDUVOL5HL37AbnfTNc7FLKeXuZV+TmpFxXsfx48ePn/PBbyz5OS8U\nCgVZWTmdrgvVR1BYcRAAdaCclctXsWnVdqxGF3KlQHpuPHfdN4s2QcHPP+/mh+93oNBIGD5uIJdO\nGo/b7Wb98uWU7d6NJjycy2+9Fb1ez/svP4d9+7f00Hm8NrnJIqvzX8eWditRoantxz9RcxxTbSsT\n41Q+RpheKcMlikglMFktZe32Ctxd9JyoLiA5whOSEUWRolMb6Z9u4p2N0G/S3eclbCqKInPnvExD\nqZ1EfTe2HlnFoJyL6Zl2K9sqXmdEvMpne9fvPp60UgGD2UbfJI8XZFRWGGvz6rmil3eydlSgkvWb\nS7l8cBKas0QZLW0OfilsJTqijTF941l1sIl5a0sYnhbI5b2i0Z2Rb7ijq4u35z5CmywFc70TRClK\nvUh8ipag4o0k6jq+yCI1EqYlSVmyt5rrBns66hqtTkLO0rCVmWy0ttrQaHxFJw0tZtrsWhxOkSnD\nPfdp09F6Bt58L2FhYf/xmrpcLmY/eht5R3eiDlYjCVASqk/g2bvnMfKi8bz+w4ekhXtXOrrcIjUn\nTLSFxpI26za/oeTHz/9rSGQgPXd7qPMf55/TL/MbS37OG4W6cxenpc2EUq7iVFMB+lgl25YdJyV4\nIGeq6zEdb+aqy28gNag3CUF924uktiw+TmVFFdVrljOmtIzLJFKMLhcfLVlC2p13Ur11Gf30Hf9A\nUonApSluvitZSlSop5lso+E0J2oKCA8IIjag8z9njVyC3SUSopbBqRay78jkwIcbkLtbcdrcuKV2\nEnoGEd7rNq4aOxG5vPOmtL/nkw8WINRGkh7pCQ0GB4SzK389JlszKmUy+Y3lZId6krdtTjdrSloY\nnOBd5WZucZAT1RE6C9MpsDvdHKww0DPBs9ztFvlkx2m6j7qSTw62ECupJDMCjtdBDQm8/fWvFBcV\nsK+kEFNwPk+Od7GnqpVvyhxIpCJau4UxiWqOHjEyqk8/hKiOB8qmH57nxnTf+6pXysir62ifkh0T\nwOfKarqfuakXW9ys+HQ9V91zqdd+JaW15OfX8X59NUEaGQa7iEOlI6bPZVw3fPR/vJ42m41/zRiN\nViMy586ppKXHYjRZWbR0M/c9M4uln61mxHUPsWDRPC5PcRGkkXOi0cb8/Wa6X30XM++4w0fzy48f\nP34uBH5jyc9507VPGqf31xGs8w6DbT+2ivjUCIZcns265VvJDO7ltV4hV2OtdxGTlOq1PD4knTWL\nFnB7YwHpak8+jV4q5RqThQdeeIYrusv4ffvCVocLa30RB3+ZS4PNjjysJyN6X8ap0/kUNe0iK9Q3\nV8hsd6OUCoiiiPNMTDshLZaXn3r6T53/oaOH2LbrV5LiUxh/0QTyD5SSqu1o+xqoC2Vwt/HYHW1I\nkmooX78c0558BKnAkdZWrugdiksEo82JXimj2eogyCShutSMOLBD5uCqfrF8uPkkPx+tIzFEjd3l\nZnyXcEzWHRRHjGHYlXM4UVbCiNR0IiM9wp253XuR270XH785jy8Omhk4dSz9MzzeKoPBwsuvLaFn\n5uW+njdVIGDo9HyFsxoBK2QSQrsEsP9IG70VKkJkMrJ/Leb9pm8YNWMYgYEadu+v5MCWA3xwaYRX\nZd6q4jYyu3cuEno28/89l8wYOdNunYpS4TFY9QFq7r5hPG98+hMrV69g8iWXkdOjD8u/no+p8TTx\n3XP599PTkEovXMnw6rXr2HUoD7cgQSMTuGb6FcTH+fOf/Pj5pxAlckTJ3/csiX7Pkp//C/zr9ht5\n8dnXOX78JDG6dCw2I6fbCnl43iyGDh9MY2Mj677d67WPwdzA5h0v06tH5xVQ6amDWVr2K+lKFeqz\nKhkyW62IorcXptZop+SYhZdUIQS4WnFJRZad3sWJohCSM4az7UQYqUFNyM8SN6s02tArpQiCwP6m\nNkKmZWCsaaV3yvD2bSwWCydOnCAqKqrTMJHVauWhebOxRTcSnq2nsHYHi5/4ArkhDjopNFPIVRhN\nNlL0wUxTesZbEqjmG5SE9ovGYbJRt78GfRV8oAqhxujg7e+LuHJsItFBKpotdmpNDp6emO4zdt7x\nTahUdzBwUEcTVoPBQGlpKXFxcYQnpBEeMYz0jI6Xe2CglkeenMkrz+4mRD/RazylLp2G1lLCfpcH\nZHe50WoUXsuG9orkU3Uw6wpPoWmz44qIQ5Y1huX77JirChjWsyuP9z3mI2EwIV3Fwh8W0Pc/NI4V\nRRFHbR7yoJB2Q+lsrp40hE+/XcbkSy5Dp9Nxza0XvgkuwNsffExbcAJZF3tEM11OJ6/P/5Zbpk6g\na3b2P3JMP37+65HKLkyn2n+w263fWPJz3giCwGNPP8DL857h4K4viA6Wk5IQyKofPycuPpp1Py6h\npmwFpqrtqPQ5ZKeOJD9vIROT2zhhN3U6pqPNxKV6PetNJiYFBuIWRdZbTbTIXGwqtzA+tcNgOl5k\n4QFNh5aSVBCYppLyQfF6HCkD6N37HpYc/owIaSV6qZlKo41glYwhCQFsq7dSmhqKvkFGrDGNm+69\nFbfbzSvPv8nhXQU4TFbU+iCiU0J44vkH2/uRATz/76fRjbARovZ0kw+ODyA4HnbMOU73mFG43C6O\nVW+nRVKNxKkgUdWN7r3jaLEmYS8oYCd2jlyTSv/hCe1jZk3MZP/HhdTvbCBOruCmZhkbvjqJQQmn\nzA5yR8Wy4HALjoAgBIkEt6GZy1JUDI0W2bJhFZOmzsTpdPLeOy8hEetITgxg745Wdu8r4elHvQ0i\nAKVCTlC43Wd5duoYlu3czNXJdrRnmuY6XCLrjcGER4awv9JMbICUfXXQENSNCf+ayvbyFlK6eXsP\nm05XU/DtC0zp5ZvDBCC3NgKeZp1ff/AK9tMlACiiMrjmzodRKBSopHZEdef6R2GhekIDQzpdd6Go\nqqqipk2ge2ZHrzipTEb/iVfxzQ/f8ILfWPLj578Wv7Hk50+x4NP3iZbX0fOyHu3LrG127p42hisT\npVyfLgMqOW0+yZqdB0lSnyYpUMmuk1tIjfPtw2Up20YftYaHrCa62x1872gmI0fHyMAQtpYbOXza\nQm6khjanSLRdiiD3dbNOkdn4uHQHWVmjGNRvNsWndlF86nuQh5IzejRlEilJMfFk6VSMH30p0dGe\n5Om5c+ZxeO0Kugc2kxgmUmYQKNgdxSOzTXy48C0A7HY7p1pLSTpjKJ1NyBA3hw9v5ZTsEJkzgomJ\n0eG0uzi64kfEvC7E65XM1Ym4A6TEnWUogcfw7DI9kecrHDxWbSRWJuMSSQB5TjeGob3ZZSzm/sdm\ntidQu1xuFr63jMFKE2qtx4D84P1XGdpfTWiI5+XeLQfq62vPee/anGb4nS3TbKll6h2P0FBXSv7x\ngyC6CEzNYt69jxESEsK+3TsoqSxn9M3DiY2NZe6rb5E2ZqrvtYiKYZfZid3pRiHzzYEqLi6mpKSY\nr15+gH9lWlEleQyzVvtOXrvvGh5++2ts0mCszU2dzn39L0e47ro7z3luF4IfVq4iZ3DneVUWtwSX\ny3VBw31+/Pg5g0R2YdqdSETgAiSKd4LfWPLzpyg5tpfhud45S1u3HeSaFBmaM73FLHYXhSfNpJoK\nMdpdbDHK6B7p4pcd8xnUZwZKhZo2eyv5+77jKmslTRLQdxnP3OoDTOrqIFrvCf8MTdRT3Gjlx8Im\n6m0KhoudJ16rBAmnqg8jCwjidMNB7A35vOiUsVfmZsRt93aq62O329mz6ltuznQgPSOR31sNua5a\nFh3ZwdEjx7A7rPyycSXmigZqjjqJ6hrmlfOTOjKKPcd2MmB2GtIzBoJMIaXn1DRKlh5hTk4y0tze\nXP1TAZ1lvGiD1WRfMpLy4HR27tyJKJGSM/FScizNXBKd41VpJpVKuO72y3nhqc/5eMw4rFYrjrZq\nQkO8m7NmpMVwNK+cbjmJXssdDhcyVSB5tVtJCMhFIVdS3nSUuOxArr/p1nNKOfQdMBgY3P67+B8a\n7AZn9uXH4i1M6+IdvjvZ0EqPKBkv3nsdTw7VopJ3PHY0CinXpZj45tN3SO49joodC9m57SgDh3Sc\nV0OjiZo6JV265LBp8xZ+3b0PUSJDjouZUyaTmtK5/tSfRSKV4HafQ+ulk9Y5fvz4uUBIL5CxJBUB\nx98fpxP8xpKf88bpdILLt8GtrbkJTcgZT4HDxc79Bu5ThaHSSEADrXY3bxbXkxK6k8o1x1GpAtE7\nLDwqc6JXyHjVJiUt+yJaHSeI1nuH69JD1aSHqtl5oIWWNifofHumbRLamHeXHpn0MKnRgdid/Xnz\npZ30rnPQ0NDQqbG0b98+uuktSCXerha5VEKa1sDrrz3HJRenMHViMtMmXc2Bo2V8t3g36VNTEM7k\n5NQdM6KIpt1QOpv4cal8vbGcWSNSidcpfNYD2K0OInQhTLn5Zrj5Zux2O8XFxez98XMG9Ej12V4u\nl5KQ1QW5XM6pU6eIjlT7bNOvTzrvfLCKoEAd8XEeYU2r1c7XS44y55mXUKvV/LB4BWZLC49fMavd\ny3a+xIYHY2xuQh/sHRJzOhzEhIfQIu3Fx1t+ZnKPKAJUMjYWNNBgtnPDoDgK1lWcSSj3Jkgj5+im\nJdy8fC8rXC62rP6G3bsK0AUGYLFBauZA5jz1Kp8u+pJaAsi6eDoAbreb979fzvRRg+jfr8+fOo/O\nmDp5Iq99vpSeo73DmKIoopW6/3I/u7/CkYMH2LLyayRuB5Hp3Zk0/drzrtL048fPhcdvLPk5b2Qy\nGaKkkxf/WV7P/SUm7lGFojrrxaKRSLhdEcqXghFFaAvy+mb6ybQcsEvYpggktP8MFDIlgvAf3KcC\n9NdoWW5oYbI+sP0r/5i9DdmAELITO8JkaqmEbsPi2LnBxGNZvq1NAIwtzXTSwxaAWI2N5NxA+vXp\n8Fj06pZCeLCel79ejWAORmpX0lxtQtHDNw8IQKGWY7J79ID6BanZe6KZkGTvUF71FhMPz74FgI/e\n/YzDO4rRiGHUtBUz4wpfYwkgMMSTMB4VFcXps0r7f0MQBLrmJPH+J5sIDtagUmlISevFAw+/0p6H\ndc0NMzo/8fPg6iun8eAz8+h3+fXIFR5DUxRFdq/4ijl33cIvq36gpyKSPSdbsNhcDE0PISboN70p\n3/trc7o5UmnEamnh6JGDTJp+PROnXYfJZEKj0SCTeR5RBoOB4zXN9B47AnNLM8eWf4jeUolGEHh7\n9yo+/mLJ35YNiIiIIC1MR9GBXaT37I8gCNjbrOxb9T2z/8Y1+7MsfPdlAkpWMSPJoxtWVXqEeXf9\nzAOvL/JLI/j5/ycS2YVpVSJx4/cs+flHKCs7waKPvsbcbEcqF+jWN4Nrrp9xzpBDUlZP6puKCA/p\neGjLAoOwOupQyyUoLQJauW9eR4hMRlOLlJA+2RSECZh0I9Co9WSFdHh95Jo0DtYcp97iQCqB3jE6\nglQyrA43gW0S+mg0aNsEHm41k2C1IUUkYHgUD16d63O8nl0j2FEbg1rt630B6Nm7D2tNEuI60Z4s\naHYye3hXn+XxcWGEN0fQM+JGANwRbpaefKnT8Wv2VjE721PWf03/BE6uLiQvz0Rs/1DsFhfmPJEb\nxt1BSEgIXy36lsr9NrqEn6kWq3exd98J+vbxlgFvaDQSEuZZptFoEKThGIytBOo72pg4nS6Kiit5\n8VlPNZfBYOG75SXkHTlCSno6UVFRnc73fFGpVDz/6P28P38RzVYnIKCTw8O3XU9UVBTDxk5iw7zv\nmZgb6bNvZYuDiqZWEkI88/3x0GlaWh30Sgjk0i7BLHx6FhPveJaG2hoUKiUXXXJ5u7H005q1pPcb\nTqvJSN4nD/BYb9pzo1rtLl66ZwZPvPf9Oe/3+XLrDdeyc9du1m1cgihI0avkPHPvLEJDQ/945wtA\nSXERysLVjEzrOI/YQCW3qI0sfGsud815+X9kHn78/I8ikcGFyAeUuP54m7+I31j6L+bokTzee+Fz\nukQOJuyM4GTpllqeKXyRZ198vNN9br19Nm+9+gKFRwqID1PSYnZAaDJrTji5WNeI6z94h7IHj2b2\nwgXs33eAr95YR+RZhpLb7aKxMY8EPVyUGojDLbLjlAmpIGCqdfCgKowtZjPFdhsTlCrsCgXFtjb0\n2s5DXEfKTdzw8CudrnM4HKxasICqZgFzuAudouOftKXNiSUwmCU/7GDYkBzSUryNiyBdR7WWRJDQ\nWz+JvJXryJnY4YWyNFgILm4mZ5KnUbAgCGSFRjJ9+jyOHj9CcFQwo64c3Z4svGfLUdL0HXpNieE5\nfLPoc3btKuWyy3oSHxdKSVkt23Y38cSTr7Zvd8ddj/L2m3PRqU+QkRZKcclpKqvquXJKR45RYKCW\nfrkB7L/+Ogr1QdTlduPO99//Wx6KoKAgHr9/NqdPn6a2tpa0tDS0Wo+GQmxsLMaovlQ07yMhuOPe\nbC5s5PLcIF5YXcZ9o5OoMbQRF6xico+O61vdXM3eTx5icvdwbE43H29YROroa7l02jVIJBJE0c3R\nFZ/xYE8RhazjnmkUUm5Is7D0i086lRSoq6tj2YJ/42o5jVOqZOCEq+g3aOg5z/lw5BQAACAASURB\nVG/ggP4MHND/D69DY2MjX707DxpKEUURgpOYfvvDRMfEntd17IwNSz9nSopvRaFaIcVVXviXx/Xj\nx8/fw28s/Rfz+cffkRPl/dIIDYik7GQdBQXH6dLFN4QlCAL3PTwHg8HAoYMHiYqOIjMzi/r6em68\n9EoEsYYqh4PY3+VXlDidJF80BoDuPXKZ2/QMlpZmstMGIxEkbNv7KZPjqwlWe166CqnAiKRAfi01\ncKUYQKnNjkMUuTmk4wt/LHqe3l+DaWImAWfpBDldbvLNkVya7esdcrvdPD19OsMPH2GeUsmiA820\nBIqEhaowydVoU9J4/rlJyGRSFn31C6HBuvYeaG02B8YmOZzVjzYltCs1+/NoaD6CPUCBuaWN0FYn\nb83sqBYsPW2mQkzGvG45bfXlnJaoiAwOI7enp/zeZnbCGdvF2NrM3oJfSIjsSaA1hvlvHaPZtZ+b\n7riGJ5+ehEQioaWlBYvFQkxMDA89Mpe6ujoKCvI5Vb2IW2+8yOece/RMoTAygKlGJ2179/PObbN4\n7KsvcTgcGAwGgoOD/1SVV0NDA8++8zgmXT3yYBHHjzIyg3tw+7V3cWD/XoZNmslHzx8kmQrkUgGb\n0023WD0DUkLpnRDIh3tP42i189SEtPYxfy1qJC1C265aDnBtEPz863yKuvVm4vhxPP3vT9GaT6GJ\n78RzqVXQcvKYz/KigjxWvHEfV2eBMkqCKIpsX/oUXx+bzMxb7z3vc/49ZrOZdx++jlk5DuRBng8N\nt/s47z56Pfe89T0hIX9N5sDtciA9h7CeIP75r+Y9e/exevNW3IIUjUzg2ulTiImJ+Utz8+PnH0Mq\nvzCeJX8jXT//BKYGG/hGS0gKz2HlstV0eaLzfB+AwMBAho8Y0f57eHg4uUNGENyaxbtbP+JGWxUZ\nZ8QFj9hsHBwxjEdmzsThcPDx+29z9fgkNixYQX3xetwSKcFUEJziecGYbC6MNicKqcCAxAC21pmQ\ntsFNZwylUw4729VORAEmmhQ8/NyvjB6RSM/cSI6UtbDpqJkxV95NeXk5bz9+D1pXE0HhEcgisyjd\nsIOU4mJaZHKWGQxESWSgDWbkw9OJjAhCperwhky/YjArV+1l+pTBuFxu3npjM2mhl/lcizBtBHNG\nOIkI8oROvtxYwoMLj5EQrqXVIVJvFnC35DF9RDQB4TJEUWTjgvsoODidK2+6E4W64yGxO38jo3tf\ngeRM1VlP3XDa7H35/P1FHN+9mcbqctKULQTI3FS6g8kaNZ1LpswkIiKCPTt/6PReORwuJA4XIEEl\nkRBx+DAvPXIHGkMZwdI2Gtw68swi7pQAnDjQS4OZNHQq3bN70tzcTGpqantysSiKPPrafURNkBMs\n89wPsYvIwcUbefftYob0T6MkrxVRA8MSwkkP8w6LBWsVtDnVxAV7PxhL6izcPMRbXgFgfKqcb7//\njLueeo1eqXHsPNLC71Xdf0MUfB+2Kz97jRtzhPawsiAIDElQsuTgChobr/3L4bXv57/H9eltyKUd\nRrpEInBrrsCnbzzHw8+/9ZfGzR18MYfW7KZHdCd9BQN9CxX+E4u++Y4ys0jm6KkIgoDTYeeVT7/m\nxsvG0j232x8P4MfP/xRSmefnb4/jV/D284/QecjM5XIhV/z5P43Hn72fOQ88T0juRSxuaqC1cj9t\nookJD91NoiaIe258HLtFpL7hFBHhrcT2TGbgjlK6yhS8KZHQ2Opga7kRnUJKgFJKeYuNVocLi0xJ\n7pl2KMtkVqLGxXLnqGSkEoFNuyoxLi9iyc+nKVp5ilESBXMUSnY++Qxzw2y8cGUWcqkWsPDKgi94\nwB6AIqgj0brEZuNwm53EhAif81GrFRQUVjH/s/UYWyw0VOrJ7upbzSUTyog4a8x6s8iY0cNQnCmR\n37h2C4+MjfN6YY9JVbNk71IaJ19F175p1OyvxWprJTk6q91Q+g2VQkMIwUzVHWW7pAmj0clF/WKB\nNrbv/JRftAGMHDcRlSYKq9WOWu0dmly3dAfDTU6QeZYXic3MCiokMEYOqAAnJY2tvN/aQtLlXTDX\nW/j83w8wIkxPtE7KGqueyN5jmfGv2WzftQ1ZuhWJrCNUVL6pijsvGU1SvOcaJidB755JfPb2Yu4K\ndiM/62tPFEXSew6mobIU6PCUyM/xkJNIBCR2CwBXXzmVqqJDVDZvIy7Y25g4XtdGWj9vjSSHw4HS\nVI4g+IZqxydL+HnxF1w36695l8qP7kTf1bc6TSWXUl144C+NCTB4+CjmrfiKWNNJwgM883a7RT4v\nEJn84PmrlhuNRo6cPE2fcVPal8nkCvpPvIqvf/zKbyz58fMn8RtL/8WExGhxO1xIJN5f5KUNB3ni\niVl/ejydTsdbH73EoYOH2b1zH2kZlzBq9Ai+WvQdRzecJiNosKeJbgy0tpnJq/4GR7doDuRXYTE7\n2XzSyOVdQpCcMSr6xwWQX99Ko9XFCYOUw/Y2sq9KZXjfjpyQ0QPjiYvXs+z1g9wk6ShvK1XamTs9\nq/1FfaCsmSEWBQqFtyGSplSiq29G7ERHx+Vy43LIGJTlSareKi1n3b6v0KnCUCu1ZCX0pKB8NbdP\n6Bhzb3ETZnTthpLbLRIisXWaMD8hRcqK7xbyrzvu55UX3mLvuj0MzJjQ6bVVa+JoaS1hQrdIthU3\ntjfaHRyvYOH6xfQcMJS+/Uay6Nv5jB2ZSHJSOC6Xm/U/7ET64wHiZArMLhffNDeTMjqMwN+1N0kL\n1aDfVsG+H/Jpy29gRlwAkzIDkEklDMTNsRM/svzrACrMRkIzvcsIA62KdkPpNwRBYML00Xy7cDEj\nkgOIC/ZUdu2oaGPgtOkYmurZu+Vd+sZ45mFzuju9B612F/LgjrDRA48/y0sP/YuRjjKyIjwG06Ga\nNg7Kcpl9yWUsXracwpMV4Bbp2z2Hc6XQSQQBl/uvJ4PWtVg4V28Fq+uvhwIEQeCRVz7my4/eoqX0\nABK3HXdADFMeu5fE5PPXk1qxajUZ/Ud2us6l1GEymQgIOEc5qB8//9MIMk+S998e5+8PcS78xtJ/\nMbMfnsUT984jLXAAWlUAoihyov4YucMS/1ZeQ4+e3enRszvg8STs3HiQrBDv3CiNSkeAvBtJPWsJ\nGdmDPd+s55LQtnZD6TeywzX8XNSMXmbmF6WSeX1855UZF4g6WgVniVcLoXKUZ+kf5Z0wMkWu8tkX\nIMElsGtrHgOHeec4rd2YT2JSDm02B9Y2O0UldnqkjSUiKA5jazObj/7AoNFp7Kmv4WCtGYeg5dgJ\nN5eP7PhqFxE5V29HuVSg4uQJzwtyzn2MGXeA+S+tQK/11QyyWsqI1Hu8OYPTQliw/VR7fo/xVD4r\n3riRjDA32UqBJd83kNatO0e3bGfm0RNkK1WcsNtYbzIRpVMwrItv/7vlxY3UJAfT85IMpJdnc6zG\nxOZl+cztGkGQRk7XSAULd62m+xW3cbx8B2FpHWWEAfLOW5zExIRS0uIk+rSZVUfrcEpVxA27koln\nesQtaajj810r6KppRqdR89XeWq7p15HwLYoi3xQK3PxKh3K3VCplxp2P8868Jzi15RhafRBX3Dib\nuyZO5sGn5pIyaCypIz3X72DBEU7WO5mBr2dp7UkXlz59bec35jyQRKRyqLqAHjHeYcbSxjbMmr+e\n4A0eiY4b7nzwb40huv+TiKanqbQfP37On/85lTU//+eIjIrk7c/mEdTVQr3iKM26PK59cBy33Xnz\nBTtGc3Mzgr1zIyUlqgf5xY1oVAqiw3SEnaOyTS4VSAuWY1MI53wByNXeX/lWm4udpUaKaj0hnIRI\nDSecnWsimZ1OFn6wkk8WrKWu3kBlVSPvfrmGg8VNPPjY02w+Us/KDZUM7nIDEUEeLW69Jpjxfa7h\nVKmVO575hNue/45bn/wQhVzJljUb2LPhFzau30ZTk4lGl5xqQxsLj7Tw8REzL2+qYOPxBhbn11MY\nWMrzbz0DQO8+vahs3Ifd0eY1P6O5njhtOaozkgyCINBotvNNXh3PHKvnIFZM9iZykwK5elAI8yZq\nEQ0NvP/tSg6OGslKlYLlBgP/CgklSSKn/Mw1+Q1Dq4ONSjldLuuC9MwxAqMDSLq1D+8WNLRvJ7O1\nMGr4aKzHpIjujpetwe4939+oKK9lULyWMdnh3DY8kbBgPUPHXt6+ftKMG1Fl9GdDSyCN2iiqNEm8\ne0TCT4VWfjhuY355OJPuf8MrWfqzt15g4YNTiDcd4/mxEcwdrqZy5Svce/NVZF80hfDYjrynxC65\nBAy6ko/3mXG6OpS591fZEDIvJiLCN/R6vtx6250srAjll7JWRFFEFEV2lLfyWU0iub0H/OVxLxQT\nJ4yjaPfmTtfJ7Gb0+k40M/z4+d9CKjuT5P13f/45/4/fs/RfjlarZdbdt5z39qIosuC9NyndtRF3\nmxlZUCSjpt3AyLGdh4+0Wi0ufFW/AZrN9dQYW9lypA6DGIjF3tzezPVsHC6RBqODBKuEFrONIJ23\nJ8PpcmOotgBaRFHkE4eMoqDBWJsG0lpVh3XvLm7qp+MnRT2pboWXwdXodLA5RkpCt0Dq847y4o79\nCFoVbVoFOnUMa9es5M4Hn2Hu7Hd9wpUAoZIUtmzeyvCRw5h33w3cm9FEkCai/Vq9t2M3dS4dP9oi\nCM/W4qg5xZTB2TjdIge3nkCndFGhOcbWHVuIDAlnahcDh8vfwUImUkUMDmspsdqT3DGkowSv3mRj\ni9VB3wkZBEXoCAJOGNq4a2k+70zMRqeWEy+tpKmpiQc//pj8/HzEqZ4k325yFR/urqNvWnD7dVhS\n3Ej8zO5e52Wz2DE1tNKklnGk0sIvJVDQImPUsTzmzn6Vue/PwRllQBUuo7LBRP7xSrKzOpq6uN1u\nVn+/kfu6dryUp3VR8c3XH3H3M28giiKvzbkdfctRImw2ZDYRnSChSVQRd9XT9O43yKuZMcDu7VuQ\n5q0kQQ9X9OpIdp7RK4y8mnpW79lEt4u9+9b1GjOZg8YGvreYkZjrcEhU5I6ZzI0Xd/73er50z+1G\nz6Fj2dxgZOvJcgRE1Mm9kNeUc+e/bvTZ3uVy0dzcjF6vR6Ho/KPgQhIUFESXmBBKDu0hrUc/zxyc\nTg6u/4EZE3wrJv34+V/lN2Ppb4/zz3lM/caSnz/Fy4/dR3jhGvqrBVAArXXsev8xrK1mJlw+3Wd7\npVJJaLwWh9WOXOb9kqhzFPPF0p+RSqUYjUaeu/pihikMXtucNtvRKSScbJJyp6DhvY8O8Mi9/ZGd\nyUUSRZGXlhznlCwUa1sryx1SxIG3MaBdwykRUezDR7s+YnifEJ7dWstkqY5YQcpBiYP1Whv3DItl\nyBl17bJGK5+Vurn25gnExoRSW1fFgk9fQCr1baQLoFXpqT1dx6oflzJaV0GQpkO/SBAEbuwTxr8r\ntXTvnoK07Chjx3R4Pp6f0YOvd5WzM9LN2u0/ES/RMyVdwyWZAkZrKa+tXUdCkIpZQxPbDRu708Ud\nP5XR68EB6CM6jqUJVCGZ1oWPN5xk9ug0cqIlFB3PQ6FQsOq7+dSprHxtdXOxW8NEg5K3vylk9JAY\nUqO0FNS3Eav2PAocNienvjyC+lQLoTIpZpONN9tiGdn/EQbHS5j/4krCMuR89MJCCosKqaisoNdL\nvfj5p8V8/8NRUpN11FQ1UJdXyIwkqVcZvEQiILF6GuXu3rEFy4m9XJ4bSqS+w3N0uMrID/NfY9RF\nG32u9Z41i3EaTVzd3zfMlROt46e87YBvk9+AoGDueuDpTu/f3+G+O25j1+49bNy2C7cAKVF6pt0+\nx8sYEkWRLz94nYZjmwmXmGl2KSGqG7c++gJKZefhywvFzdddzZat29m0bjFuQYpKKnL31VeQlJj4\nxzv78ePHC7+x5Oe8qaqqwnr0F8IDvUNhOVo7WxYvYPxl0zoNkz3y9L08du+z6OzxxASnYLA0UmE5\nzO0PXteu76PX67nioRd5897rGRIhJVAt4/BpC1VGGyaHQNrASazY9iuXlct569ltqOIDsEhFTlkF\nZGGJPLfiA5a++SY7t5QwLMS7xFoQBBISLqfCNZ/33hnL/uMNlNWa6ZEYiH1PRbuhBLCyCh6Zc037\neURGBPGv6wfw9LMrgVE+51ZjKuHmUbfzwt0zeXaIr9DjxjITV107jg0/buahUb46DTP6J/Dr+kLc\n0clodHosLS4CVDL0ajmpEVoGpATz6bYKFFIJbhHyTBA/IIPgGN/kXFWAkhMuT9JyUZ0LRaSZzx+7\niqvSQXN9Jm0OF99tOkVGqZtZJh17fqzleZWE+EmTKNuZT/KgWMo+2U+6oY1rhyUSHqDE5Rb56Ugt\na/a/xpB+j5Ic3o2aspOs/nkt4y8ZS2ZGJgDXXT8Lm81GcXExebte555ctc/fgiiKuBSea7Rl/Y9k\nBsna87AAyuotHK4w0Hyqit07ttF/0BCv/SWiA0Gg3VD2OX+3bziwsaaKjMTO2hhfGAb078eA/v3O\nuf6L91+jS+0qUjOVeCoPwdh2iLefvJuHX/n4H5vXbwwbOphhQwf/8YZ+/PxvIpFfGM+S5Pw9SxkZ\nGQ8C88Ar9DGuqKhoe2fb+40lP+fNuh+X0kVjpbMqIEVLJc3NzZ2K8QUEBPDOp6+yfesOdu/cR0Z8\nDI9Oe8WnMajT6WJgjAqLtY2jdRbUcgnDkgJJCFQy/9gR3COHU1JwgFAR6pulpA3OJiZAi1GeSHR0\nNHe98gpHpz/c6dxD9ZG0WnRIJBL6ZkdAdgRfbSjm4i4dOjsVjVaSe3XxeckLgsBFF2ey5ceddEvq\nUNo2tjYSkaomKioKu7kFtzscye+yuc12EZ1OjUrSeTd7QRBQ291kxOSwO38XpWW13DPA4zmZ2jua\nD38tZ2a/WKKDVBhaHbhaQ6kQfXvCtZ9DrYkTNUaKLRG4137JLTkd90oll3L92CQ+WFxEzybQKzWE\n9etOj7ZDNB+s43SQnNA6C/dMSGs3SKQSgck9oqgznqLZVE9wQDjRwUls37SX8ZeMZeumtexb8z0y\nuxGHIoDeF01l8vV3sWHhg1z0OyXqTeUOhs70JFWfrq7hsqQONfRv9lQRopVzdf84rh0Ae5Y+zqsr\nuvLAvHfbG9hqo9NoKd5KS6uDII3vg7Wsppk0hx2Z3OPZsZgMFG/9mVlznzrn9forGI1Gli76EGvD\nKVAGcOk1t5GQ4OutcTgcNB79hdQu3tdBr5KRaCumtKSY1LT0Czo3P37+n0QiRbwQ1XB/rt1JD+DR\noqKiN85r6L80IT//lQSHh2NxdG652yUKVKrOE7nhjBjgsME88Mhsrpw5rdMO6ns2rSZNL6VrpJZJ\nWaFclBpMQqDnRROucBIclEz/W+7A1rsH1RIZv2zK52SzjrvufaR9DKWm83LuhpZqwvTeBosEvBKV\nm60OQiM6V16OigigzryXYw2byK/dRlHLdvTZVubM9RhnkRGRbDre4LNfnygFq1btw+qW4Xb7Xjun\ny03FCTslVYVohrdRmRvJoqO1OFxutEoZU3pF8+oOEwur4njzuJ7BI3qSERmF4bTJZ6w2k42+Cgnz\nVxSR0W88GdLTnZ5Lr17h3C608F56EHKxnuGJcp7sE4OwJI+EQGWnnpuZ/aM5Xram/Xe3C5Z/Mx/D\nqle4PraKq5NN3BBbjWXd65TmHUQz+CY+LxAorrVQUtfK5wUCiv7X07Ovp43IyPFTqDF4PugOVhhI\nCFEzNicCqcSTxN8/QcM4dQHfL/yw/ZhTr59FvTKOL3ZW+lRzrSiyccv9T1O942eOrl3MkTXfYy3Y\nwSvPPNHeX+5CUFJYwHv3T2Nk6zquCilmimof6168kXUrl/psW1tbS5zC3Ok4vSIEDu3edsHm5ceP\nnz9NT+Dw+W7s9yz5OW8mTJ7C41+9RziNXstdbhF5XBc0Gs059jw/pEoVTreIrJNaezdS7K1uspIz\nqJr/JTPqDERIpexfsYa5JeU89Pki1Go1vQZnc2JHFWH6jrwWURQ5UL4B46FivrKY6ds3hpMVBgp2\n1FATKuemMR6vQGakli/35ZPbLcnn+AcOl5HdWkPW0TrM48fx/7F33vFRVN0ffmZbsptN7yGNEDYQ\nehIg9N4RBQRBpAgWUKxYQUVFRBQVRFRA6UWQIkWk9957IAESkpDey262zu+PxcR1NxTF9/X3mufz\nyR+5M3Pnzuzu3DPnnvM9z02fZrPdr24Tci5vZndCHp3qeSMIAil5Wn46lUlJrUA6tolg5eHLDGtr\nuyT01a5rKGJ8OJ12mLi2UQR1COdmPR9e35uCwmyh0CLh2Tem0b1Ld44cOURB5jb6do5lyty1CF0k\nuPlay8NoiytIX3iGz5sH4SyX8MnG5XR1d2zYuihlpHkK+KsKcTeVAIFIJQKjYwIdGnxg9UpZbi9z\nVRi0+IS7k7x/LSPr2Rq98cFylhxax/NfbcDy8GAO7d2FRRQZ16mrTYxOn4cH8PaKL2hUC86mlTCq\ntf1SWS0PJ3ZfPgo8B1h1vF6asYRvPnqDd345Tm1PGc4KOaUuwXR47BXadu5Ghy5/b/Dy+u8+5pmG\nIAjWR6dcKmFAPQWLNs+nQ/e+Ntfo6elJrsFxMHdqsZng2pE2bb8ZgNWn/NdQw/8o0ge0DCd17MH/\nIxqNRgVEAS9pNJplQCHwWWJi4sLqjqkxlmq4ZxQKBb3GvsW2r98nTlWKs0xCns7MWSGEiZM/u3sH\nd2HgiGeYOWIVHWvZ/mj0Jgt6eRgSBex69z1GFRTCbW9BHFD/4kXmv/UWL86axcinnmBO2VwuHT+I\nGn/0ljJQlxHjaWZsrisFe4u4vDsHf6Q8r1DyS2EZWwPy6dHAC2e5FGV+FpcvpxIdXRWIfSM5G6lU\ninuz2nTce4PrmzazuUlj+j7+OADl5eVEtejEvqsnaaAuZ9HhdCQCqJ1kZMu80RddofxKAVeydVxc\nep4WdTwwmMwcK9RiiAsgJEBN2oUqkSg3fzVuj1k1n3y0RlLSrwPQsmUrPv5wBQ2jg3nnmQFs2HmC\na8ezsCCSe+4mszsGVcoLBEpKOVfqSnMH93l7Qh6Lu0bgoZSz6mRGZXuIl5KruY5lAH69nIfFqT4W\ni5mrhYcYPqQ/xpyVgH0KelPXYk6fOknL+FZ0riZLUiKR8MTEWcyZ+TYyk7laA0EqGm3+9/Pz5/2v\nFgOg0+kwGo3/sTT4wsJCvCrSEQT7wOzO/jp2/bqJ3o9UBZi7uLhQ4RWFzpCI8ndZnqIocqTYi0m3\n9aau30hm0aq1lBqtmvpqqYVRjw2kbmSdv/2aaqjhH4HkAWXD3fsynB9wAPgG2AnEA5s0Gk1mYmLi\nVkcH1BhLNdwXXXr2pVmL1qycPwdtUT4hUQ35fNhIh8tq90toWBiBnR5j364faVtLjlQikFFqYmem\nD7XqxOCm1NMzJxe9RMJqFzBpApCqnDCk5FJ69DAWiwWJRML4V8ai0+m4fPkyPj4+hIWF8dXgxwDw\nkslo9buvfR+Jmq8yfMgLiKQ0L4PT1zOoSEjj5JnryOUyjEYTPj5uDHw4nk3L96G3WKgnlbLqly2I\nQ4ey5LvPMKQfIzbIROMIGctOmqgXHoVCpSbJIKPC8wqfxtYn/HbmmiiKpOWWU2EwsTXJRFh9Xyxm\nC+X5juOQ8hPLGNrOGiclkUjo1Xcky39aSN/uGgb2jCc7u5BVCzYT4uHMyqQKVBYDfeq6UlZWRrnF\nxMf7TfgEByDIpJiLivA1lxPpo6SWp1VM0WCyYLaISCUCMomAS2gtfjh8i9GtgioNmJR8LVcED/LL\nc9h+fRUt2zXFxUXNLaPDIaMzCXjdg5exUbPmRM3fwnsvPUVeWTo+alsvjNkiYnGrXhxVqVSiVCqr\n3e4Is9nMji0bSU9OIrZVh8plwXvBYDDgXM2bq1IhQae1X3J7ZuJ0vnrnORpKUmkWICOl0MS+fA+G\nvfkpgiCQl5fHzIUraNV/ROX9FkWRr5YsY9JzTxIQEGDXZw011PDXSExMTAF+L3F/UKPRLAUeAWqM\npRqq2Lh+M0f3n8FsFHH3UTFm3HD8/R1U1XWAl5cXY1+byOFDRzCbTH9JDVir1ZKfn4+/vz8KhYK2\nvXszPfUMpyuysZSJSAo80UTEENsjAm1aEn4SCV/7KXh8xihcVE4YDCacneX8uGg3p06doPntyU+p\nVBIbG1t5HmlEbSouXMRZYhuPU2Y2U6dlK556zxoEnJh4leMHv6dda/vA26KrGbjcPl6i0/HT0rm0\ndDqFpp1VD6hpHRgYH8iM7aWMm7aA1z99kYA8odJQgtuZebf/97+cjUFnxFhhQq6UkZ9WjHdIlbaQ\nUW9CnuFJk0ZNK9ti41oQVS+adWtWkJGRQtKBTUQ0qE3/oYNwcXGmuLicH5ZuJS0nj+C6IQx+6hFc\n1VaDQhRFvv9mIwO9qib1AbGBfLUrmUFxQQR7OuMnF2ky6GE+W78XJ4MWwckZv6g6CH4KnpjxJs5K\nFXqdji/nf4kqq4hgDzk7bxmRKpVYtFq6hyg4VqBicqPG9/T5KxQK3v9yHq8+2ob3OnmjkFVJQnyx\nJ50nPv78nvq5F65cPM/aWRPpHlBGjKeCU6u28NGSWrw8bS5qtX0m4x/x8/MjS+IH2MeL7c+Q8ujz\nD9u1q9VqJs5cwsVzZ9l3/AChcfWY1KlrpWG0aOVq4vo8ZuNZEwSBFn0fY/GPa3jz5fF//oJrqOH/\nCw9MZ8l0T7tpNJpYoHtiYuLv4ymUgOMgQ2qMpX8lr780kYQTabgqPTBbzLg4uzLp0idM/ORFIurU\nvuvxWzZtZdOPu3EXQpAIElZ/v5W2vWJ4fLi9zlJ16PV6Pvngc7JulOKEGq2lkMyyc7jES2j8VAhg\n9SgU3SrD7YaU4U8OZem33zKpvIR+Yx5jxbyNVKRlILeYMahcaNC2Gft2/1xpLP2RIa+/zjeHjzA6\nL7+ypIpZFFkR6M8rL1cVU9Voolj7k5SionI8PFwq20/uv0TtxBwEQYpZs9aqvQAAIABJREFUFCny\n8ODCr6vICFOx5WIBHeqqaVbbKvQ4uJmUxd/PIf3UaQRtPifCPGkeZasWnVukI/NSFg2KtHjLpYgV\nRo7sv4VX40jcQ6WUZVVQWxXFp299ancth3b9St7ZPTjr8pH7+vLEU30rt7m7u/Dk8wP4/JMVdOzX\nodJQAusk/NRz/VgxYwljb8ex+7k6Mb5zOFN2ZtOgdQ88NAr2HM6k/+h+BPh7oDcYWb/2AEUpaZzZ\nMB+xJB8fXSphpblcNVrYRiBDXu2IVCrBZDKzYuVuLutL7yvuJvnGNTrFBbAqIRtRb5UHsMikjOoX\nxa5fltOg4bS7d3IXsrOzmfX2SKZ29ee3FP6WIc40NuTw/fS3eXnK7Lv2IQgCsX1GsHXLTHpGVD3Y\nL+cYkGi64OnpWIsLoGGTpjRs0tSuvVRvopaTfWKETK6g3Hhv8Re/RxRF1q9cRPr5g0gsJhR+tRn8\n1Mt4eHjc/eAaavhvIZFb//5yP/dmLAElwLsajSYRWI/Vy/QY0L66A2qMpX8ZG9ZtJPVCId3jBldO\naLlFmSTcPMW82Yv55HbpjepISkzil+WHifav+k4FEsaprZcIDTtM2/at72kc770xFW99Q6L9VaRm\nnMWYuh1ZiBFNV1tNGI9aalKuX2ZCp070yM4hMsiD3ZsO0F4owtlLglXGoIKkfQe5rArm8uXL1K9v\nn/7v7e3NmBXLWTVlCuLVRJAICFH1GPf+ZLuYl9femML8eTMpyj+LLj8TRWoeda/n08VsjTuZrVTg\nHibhjf6DUChkiKLIgX3nuHE8mYEtAjlwJh1z0TLmtPFEKnHnWHIun55MZ8KQpkilEiwWkdmrzvF5\njzo2mWd73Is5G/4QvlGxKOPUXN6x1s7jsXHVYuSnljCqtpxTqWXU6Wz/2xYEgQbNolAq7SdhQRCQ\nengCVQ8VuVRCbU0Dxr1jNcwMBgPPjehDoxABBRaeaOaDd1wYk7/fzKsdQpBLZVgsAXx7Q2DY41Xa\nUzKZlBHDu/H6u0uY9MwwCm5dR3BW02/UeHo+9Ei134X9v/7EmBZ+SOLtPZu7klOqPe5eKS0tZczL\ng3m9gf3SoFIhRZ53BZ1Od09Leh17PMRpD2+W/LwYqa4As0xFZKuejBk49E+NTWKp3iCSiPdX6FcU\nRWZMfJ4uigQ6BlrjqnSGDGZPOM6z0xbi53dvnuMaavhfJzExMUmj0TwKTAMWA6nAyMTExLPVHVNj\nLP3LWPzdajo1GmLT5usRSE5RADevZVRzVBUrl6xD4xtr1x7u04At63fek7GUejOV8kwJQf5OGIwV\n5KWupleYnjWh3g73D27phXrpBRpL1GwrKSNMq8PZ3fYtpK6rlGPXUpj/4WaMisU8OrIPHbvYGhJB\nwcG8MnfuXccnl8t57vnXAUhLSWHV++9zy8XESosFS2QkilA1wx6rugeCINC+Y1PW/pjPscs5OFfo\n6du0qlhtfG1Pwrz0rNx1jSe6a/hxzzX61veyS9HvVMedo+d34tvJupzjE9WM4ydP0iLOWhhWFEWu\n7V/PKI312suNFjzcXXCEh4easjLHcVBmo5Hfl+fen2qgWY/HKv8/f+YUo1u7Ea+pWhL8ae91RsT6\nI7895rO3SmnaroNd34f2naN2QSYtZHkI7gJQzKmvX+Xg3m189Pm3DseDaKE6R5RE+OvlC75f/h1y\nby17MtTsyZcTIJTwcJRTZaFlhaGENz6cRs8ObenTs/td+4tp2ZqYlvf2UnA32reI4cil09RuEGPT\nnnrlAq1iGlVzlGOOHthLM8tlwr2qjGSlQsqzDUz8+M2nvPj+g1vSrKGGB4ogtQZ5P4h+7pHExMQt\nwJZ73b/GWPoXIYoiChzHZtQPbcbmE9Ua1ZUYtGaHNdIATBV3nth0Oh2zpn3Akc2r8cTApZsqMrVy\n2gWWIRWUWCocu1D1WiOBFgEk4Fyqo5azKylFFfio5Kh/l2XkKYiE+tRFJo1m1bytRESGExoW6rDP\niooKDh/ci0LhRHzrdtVq8YSEh/PaokWVcVklJSUsX+RY5LBdlzgWfrqIKV3s0+AD3Z04cDCV7enF\nlJTrWdQ9wmEfHpaqci+1Iutz/sLhSmMpKyuLIEkh1qV1iA1Ws/rAOWqH20/whw9doFmTCDR1bUuD\nlJbpOH0pnVkZTgR4u6N19qVxtyF07lUVb7P91/VIiko5lCsgWiwI5SVYCorpFlsVbGyxiEj/YOyJ\nosjxXw/T2d82ULuRtxM/H/+FtLQ0QkJs1dUBYtr25NjxL2yMs9/6MymrD/C+V05cOIOnVy8iho9E\nrnCiKDeL91d+zksR2QS4KUg1exI/cAznLp9Fu34Dg/rbxx79XXTq2J6Lc7/n/L6tRLfuDAhcPrIH\nf7mRHkOfvevxJSUl7NyzF5VSydVDWxge5GBJTyqB/Bt/w+hrqOHfQ42x9C9D5ep4qcFkMaFyt02J\nvn7tOisWraGi3ITKVcHwMY+hdJVjzjch/UN1Z1EUUbhUr3GanZXFO2MGYs5IYnQ9r9+lX1v4NUmP\nr0qONKUQ0SIi/EFn6daqKzyHEoNoIQ0jZbfKCHFz4mRGGaV6Mz0iPVBIJZgEV6S3306i/Fqy9IdV\nTPrw9cp+8vLyWPnNdPKvHsWoLUKplNCpRSjfbfmWBp2H06n7Q9WO/7dlPYvFggMZKACkUgk3C3XV\nxut4BLsR+FQsKVsSKSw34Olir8GjFao+n6yUJNpFaSr/Ly4upkBXZZC6OMlwybvF5UvJRDeoijU7\neeIKzf0EDu85jskCXbs2QyKRcP1GJns27GHpS3FkFxnYWx7LuHGv2Zz/xo1rmMzZjBxblQJvMpn5\ndNpyyipMqJ2t97dpsCvfHzpHgwZVytWZWYV4VpSCA3XtNl4KPpo6kbnfLbXb1jy+DZ//upqg3BxC\nfZWIosjKndc4k1hIraBafDFhJHG9htC+ay+H9/VO6HQ6kAbSbcAzlW0evgG0f/4TFs55kZ4++Rgj\neiGRSqndKJYjG1cw8GFLpWr4f4IXnn2K9PR01m2yvuQ+N6CXQ6Pyj8xbuJSrWQXUbtYao66CM/kC\ngUV6ukY4qDlXo91Uwz8Y0WBG1N9zvNEd+/m7qDGW/kUIgoB/qAcWk7136MTV3Xw4Y2Ll/1t/2cGm\nJfvQ+DXHQyLFXGDikze/o9MjMexef5zoANtliOt5Zxk5oS/V8d3UichzrtND42lnTHSv48H260X0\nCnFl7ZeHqTuqGWpvFWajmRu7cwg8nIPKyYOvdHn0auld6U2K8lGiNZrZdq2ILhHu6BX1MZj07Dn6\nLTLDTQwYmeMu8tyrr1NcXMw3b47k2QZG5C1cABf0JgtzDyXz2rAYfj74A1uMIikpiTg7q+g/YKjD\ngF1PT0+Kyxz/bNbvOI5r2yAyiisIcrd9w7dYRG4ZRSKBoE61mfvDKd5qaeuByig2oA9sdXt/C5kX\nj9N66GQuXzzHthVfEOFSREpuHmZLSGWB2sHR7mzds4/pP+0jPNgbXUkpxvISPhzelGHtgvli/VnW\nXEvEyUlOpJecyQ/XRiIRCPVTUn7A3pM4c9aHvDrWNm5MJpMydvwAPv/4ByZ3tU7iMqmE2sZC9uw8\nSccusQiCgEwmRWcwA/bGksEiohf1du2/8crkL1m7YgG/HDvBpdNnGd3Ymd5df7s/2Rz4dQZby0ro\n+chj1fbhiA2bt9DuoWF27RKplByPKOZl3eSRx0dWtrv4h5Camkp4ePh9neevEhwczIvjnrn7jrf5\nZes2Cp29ietZlf3ca8yrHFy3kKjCXYR4Vn3/DCYLEr9IR91UIooi23bu5OT5BAQBWjZtRJdOHWsE\nMmv4j2A1lv66ofN3Gks15U7+Zbz0xrNcyN1Nua4EAIto4eLNo7R/qAlNmjaxtlksbFi5g3oB8ZVG\nlVQqo75/a/b9eoKh43pztfgAN7IvkJx1iStFB+g+JI6Y2GYOzymKImU3L2MWRRQOSmn8NvF7OcsY\nKbMgfn2ECx8dIHeNka5e3VCUGEg3GMBLsFl2A1DJpagVMlZe90MT2Y+tO15gUOhNxjSWM66xCsuu\n73i8aytWzf+S0fUMlTE3AE4yCSNi/Fm1+xrJeUUU5eyld2dXWjUzs/j7d9m44SeH19Ol2yB+3nwB\ns7kqOPfQ0URShCLq9KrLF5fz0JuqtomiyLIEC23ajEK7X4XhhAtCaAfmXoBruTpKdEZWnytk2hkF\nAbHduHzsAKc3LOHNF56lpKSE7Qvf56X2Uh6K9eaVIY2Zc/gW13LKASgsN5CWVcjAWiLdXEoxFZWR\no3Pm3dUpfLY+CblEYELv2ozvEkzPZv42tetkFq3NdeXn52MQ8x1OkF6eaoqUvqxO0KMzmLFYRAST\nmZPbDrJm3hrWL9nM/vXbKalmJfawzkx8q06ON2LVkBr0xFMMfPYDmgeriPCx9YC2C5Vzaeeq+5ap\nKCkrReliX3QYQOHqRfdn3rdpM2hLcXV1vP8/iaNnLxJaz16eoUW/4Sy6UvUbKdEZmZfgxLDn3662\nL4vFwsQPp3GxWKBO5wFEdBrA6Vwj706d/pdkQWqo4X+JGs/Sv4yAwAC+WjCNJQtWkJWWikQGL0wZ\nQsNGDSv3OXHiJK4Wx7EiCr0XfgE+zF74CTdu3MBkMqHRaO74BlpQUMCFdBlykz/gWMkwV+rJgXJP\nJEYdCu9IHu7Qh4vZxazdf5yXXF35pCSPtnUcKzXX8XICZW/2H/2cp5q6opJXTRZhHk6YCrLY+uMC\nDBp3BjcPsjGYPFRyjqfk8uybI/D2tvavUjnR/6HGbNyyn4yMNgQF2d6LuObxePv48fO6pQhUYBal\n1K7TEonkGlK5FJ/RMby5PoFAnRGJ0YJOCOT5d2ZRt160TT8mk4nd237hRk4mfYb15lGlinPnLxDa\nKI66dYeSl5fHlHdf4p0OVUHc/p4qJo2K49WvDuEkWijSGanr78LexHyypF4M7Nup8rMwGE2s2byX\nyzcLiA6zr3lnkNrGCC1dswhR6XhyFEWRmFZdeXT4WDauXIBBp6X12Icp2rEWRVECkV4mbhapueJX\nh9VpiTwcqMRJJsFsEdlbUEGBeyCjhjzpsO/fc2DHZtrVcvxdCiCfnJyce9YDA+jVtQvfrNtB4/b2\ncV1GvQmVusowslgsUJqPt7fjRIN/EqZqAlmlMhn6WrEszylBsJhwqaVhwqzncXFxnAgAsPKntQTF\ndcYnqMrTGaKJJttZyfoNmxjwSL8HPv4aavg9NctwNfwjUalUjB3/VLXbTUYjkmoexgJSTCYTgiBQ\np87dyzGIosg7E6bSs/VrpGcncD53IY19bfu+XiLyzLuf0a13X0wmE5evXOXlWQswR7WE+Ai+v3aS\nZ0bEcPBgEo7OeKPczBXzCTwk+ajk7nbb63gpOZ5VQO9Gfszbn8rzncJttkvcPCsNpd/To2s9Nm5Y\nyaDBoygsLCQsLKxSqbx27QhemTDZZn+ps4y1vy7DK1ZBQP/6ZJ8uI8qlGR+Pf8ehMSmTyejexzaY\nuEvnTlw8d4aZk57Eh0yaulSwZGcFzSK9adPAaiQkZ5dSUK4nxFXBmz0j8VYrmH0ol/7d2tqcRyGX\n0aNTPO/+eIDVr3nYBGQfTSrFs04XPp78GeXFeuTOUgq4hc7dws30XMKCfW3G9euus3TpOg4fHx9G\nv/BGZXvjJs0oKysjLS2NxoGBDPfw4Pulc/lh2RycJRXoRAl+mhbMnjDtjoWWf8PVw5viJDNeDuZ2\nrVlqk94viiKiKN4xvigkJAQ3cyl5mWn4BFbFAZ3bt42Kwhy0pSWoXN0ozMnk0p7NvPl89b+LfxLy\namQFKnRa6kVG8sJ9LOldTUmnfvdWdu3+obU5v/MUA/70KGuo4d6wGExYHoCxZDH89T6qo8ZYqsGO\nFi1bsOybjdTCXqCyQp5HdHS0g6Mcc+TwUdxMoUilMsKCGnG2sC35qUdoHWQNlD6UaaBO71F072MN\nrpbL5cxYuAJLdGsEQJtzi5iWvnRrGcKBs7fQm8yVKd8ARrOFFB8VMS96kvjCnX8oni4KGtVy5Upm\nGfUCrVmBVzLL8PV07LEqLdVx6sQBRGMqHu5OrFutJTi0KY8/4XhCfbhXf3p06sXGLespyS7htdH9\n8fPzc7jvHykrK2P6e69TknYFtSkXb3cFTeNDiQ63erV+OpDMpZRCdp9II1AhMHNgfQwmC5vOZ6OU\nSzEqXJA6MBq8PdQ0ie/M18f0+ApZeDpDcokSvboRF3ddoUlwR1ylMkStSHaGjsIAE3O37qZzvfp0\nbt0Qo8nMz9tPcORkKsb8+RxclYsFGVKvSEaMexOlUolaraZ+/fqV53xq+LOMHvY06enpuLi43Jen\npkvPvszcPJ8x3rb6QxaLSJEqDDc3N7RaLZ/MmcLN0muYBD3GND0RUhdCgoIJa9KaXg8PQiqtMsjf\neuVFFi9fybkzh7AIUuSiiX6d29NozGBW/rSO1NIyQgL9+fLDSSgUjgvf/tN4qFsnNhzaSYM2XW3a\nT29dy4evjL2/zoTqjU2RmpilGmqAGmOpBgfI5XI69mnOsS0XqO1j1XoRRZHkvPN0H9j2vjKFTh0/\nS4BHVcZU0wYDKNV2YfONnWQWJPPVyu+oV69e5XaTycTNEj2IIk5nN9CkIoER/a2lR94YEcv0xSdR\nFOoIcJaSWmbkJBLCRjbj1r4SCkUVRrPFZpkNIKNET2SQdbkl3NuZuftuMjw+hFKDmdM3i3Hysb8e\ni8XCkhV7eXtCXxuPzJXEDNauWcHARx93eL3Ozs4MHnB/AoUr539F4raF9KijYq+kjEtageQSLYk3\nzxIc5M4LAxvzaNtwxny6j+fb1KKOr9XtolRIGRwXxNaLOWh1Bod9i6JIcvJ1GsfUI8MUTproQvue\nXfnsnc/pElM1qQqCQHStFmReTCHgVTNnSrL5Zc5ZKgp1GMwifQL9eL5FGYJgFXYs013ni3ee4a1P\nF9kYJr8hkUgIDXUs23An5HI58YNfZNmqGfSPtGb8ZRbrWXtTxZgPPkQURV6Z8jyeXS2EOrtxY9EZ\nnvVV0ixIABK5fuY8U3ZtYtLMRZVeQEEQGPWE48/rmdEjHbb/02keG0NBURE7N63AyScQs8GAuSSX\nZ4c8fEclcUf4uCmp0JbjrLJ155WVFBHkZe+praGGB41osDygAO/7V72/V2qMpRoc8tiwRwkNP8qm\nNdsx6iwoXKQMe6U3cc3tBSnvRP0GUew5e4UAj6qJ01XlTlzDgSTkHaRuXfsabAgC4pUDzGhXQWau\nD7rbPyK1Us6Usa1IzSnjSmoh2gw9r/afhIiZto+253rfq3wwoi9D67tVep8KdUY2XSvmm1FNmb75\nKkqzmTgPBTtPpHGz3MTrfTVklZvZvP4Affu3qxzC3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7T3X0yNztKfwwX444K5FqjJYf2T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oJb1Mg5+7Ey/vLORqtRy5sxcbsjXsD3LD4/n2nDLv5ZHZU6moaO5ZN7j/UEIb4ik4U4nZZMal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\nhBBCCCHC7v8B1dXkBkgfpuQAAAAASUVORK5CYII=\n",
"text": [
""
]
}
],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print foo_c\n",
"print \"##########\"\n",
"print pca_c"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[ -9.03875513e-17 3.22866312e-16 -9.26072909e-17 ..., -0.00000000e+00\n",
" -0.00000000e+00 -0.00000000e+00]\n",
" [ -1.72407198e-16 -1.54383212e-16 2.76140307e-16 ..., -0.00000000e+00\n",
" -0.00000000e+00 -0.00000000e+00]]\n",
"##########\n",
"[[ -5.98928482e-21 5.71049496e-19 3.80699664e-19 ..., 0.00000000e+00\n",
" 0.00000000e+00 0.00000000e+00]\n",
" [ 3.36892550e-21 -1.69759848e-19 2.82933081e-20 ..., 0.00000000e+00\n",
" 0.00000000e+00 0.00000000e+00]]\n"
]
}
],
"prompt_number": 28
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Just Two Classes\n",
"================"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x_sub_2d = x_2d[np.logical_or(y==8, y==0),:]\n",
"y_sub = y[np.logical_or(y==8, y==0)]\n",
"\n",
"plt.scatter(x_sub_2d[:,0], x_sub_2d[:,1], c=y_sub, \n",
" s = 50, cmap=plt.cm.Paired)\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Effect of K\n",
"============"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"k = 1\n",
"knn = sklearn.neighbors.KNeighborsClassifier(n_neighbors=k, \n",
" weights = 'uniform')\n",
"knn.fit(x_sub_2d,y_sub)\n",
"\n",
"boundary_vis = visualize_decision_boundary(classifier=knn, \n",
" xmin=500, xmax=4000,\n",
" ymin=-2500,ymax=1500, \n",
" step_size=20.0, cmap=plt.cm.Paired)\n",
"\n",
"# and plot our data points\n",
"boundary_vis.scatter(x_sub_2d[:,0], x_sub_2d[:,1], \n",
" c=y_sub, s = 10, linewidth=1, \n",
" cmap=plt.cm.Paired)\n",
"\n",
"fig_knn = plt.gcf()"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"General Observations\n",
"=====================\n",
"\n",
"* For K=1:\n",
" - wiggly decision boundary\n",
" - can be changed by one data point\n",
" - high variance, low bias\n",
" \n",
"* For K >> 1:\n",
" - smoother boundary\n",
" - training error > 0\n",
" - low variance, high bias"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Discussion:\n",
"============\n",
"\n",
"* *** What are strengths and weaknesses of KNN? ***\n",
"* *** When would you use it? ***\n",
"* *** When would you not use it? ***"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"How Can We Choose K?\n",
"=====================\n",
"\n",
"* best prediction performance\n",
"* generalization to unseen data\n",
"* need to measure performance"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Error Measures\n",
"==============\n",
"\n",
"* positive class: 8\n",
"* negative class: 0\n",
"\n",
"\n",
"* true positive (tp)\n",
"* true negative (tn)\n",
"* false positive (fp)\n",
"* false negative (fn)\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Confusion Matrix\n",
"=================\n",
"\n",
"![\"Confusion matrix\"](http://3.bp.blogspot.com/-xXYyRNtMlmI/U3EQxjJiWhI/AAAAAAAAAJ0/ieIBaRA46Ro/s1600/Confusion+Matrix.png, \"Confusion Matrix\")"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"k = 20\n",
"knn = sklearn.neighbors.KNeighborsClassifier(n_neighbors=k, \n",
" weights = 'uniform')\n",
"knn.fit(x_sub_2d,y_sub)\n",
"y_hat = knn.predict(x_sub_2d)\n",
"\n",
"confusion_matrix = sklearn.metrics.confusion_matrix(y_sub, y_hat)\n",
"print confusion_matrix"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Show confusion matrix in a separate window\n",
"def show_confusion_matrix(confusion_matrix):\n",
" plt.matshow(confusion_matrix, cmap=plt.cm.Greys_r)\n",
" plt.title('Confusion matrix')\n",
" plt.colorbar()\n",
" plt.ylabel('True label')\n",
" plt.xlabel('Predicted label')\n",
" plt.show()\n",
" \n",
"show_confusion_matrix(confusion_matrix)\n"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"k = 20\n",
"knn = sklearn.neighbors.KNeighborsClassifier(n_neighbors=k, \n",
" weights = 'uniform')\n",
"knn.fit(x,y)\n",
"y_hat = knn.predict(x)\n",
"\n",
"confusion_matrix = sklearn.metrics.confusion_matrix(y, y_hat)\n",
"show_confusion_matrix(confusion_matrix)\n",
"print confusion_matrix"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Accuracy for Multi Class\n",
"========================\n",
"\n",
"$$ \\frac{N_{\\text{true}}}{N_{\\text{all}}} $$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sklearn.metrics.accuracy_score(y, y_hat, normalize=True)"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Evaluate Choice of K\n",
"===================="
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def accuracy_for_k(k,x,y):\n",
" knn = sklearn.neighbors.KNeighborsClassifier(n_neighbors=k, \n",
" weights = 'uniform')\n",
" knn.fit(x,y)\n",
" y_hat = knn.predict(x)\n",
" return sklearn.metrics.accuracy_score(y, y_hat, normalize=True)"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"## Why is this code inefficient?\n",
"acc_values = []\n",
"k_values = xrange(1,50,2)\n",
"for k in k_values:\n",
" acc_values.append(accuracy_for_k(k=k,x=x_sub_2d,y=y_sub))\n",
" \n",
"plt.plot(k_values, acc_values)\n",
"plt.xlabel('Value of k')\n",
"plt.ylabel('Accuracy')\n",
"fig_train_acc = plt.gcf()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Closer Look\n",
"===========\n",
"\n",
"* *** Why does the accuracy drop ? ***\n",
"* *** Why is this plot meaningless? ***"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig_train_acc"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"With Validation Set\n",
"==================="
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def accuracy_for_k_val(k,x,y, random_state=99):\n",
" split_data = sklearn.cross_validation.train_test_split(\n",
" x,y, test_size=0.33, random_state=random_state)\n",
" x_train, x_val, y_train, y_val = split_data\n",
" knn = sklearn.neighbors.KNeighborsClassifier(n_neighbors=k, \n",
" weights = 'uniform')\n",
" knn.fit(x_train,y_train)\n",
" y_hat = knn.predict(x_val)\n",
" return sklearn.metrics.accuracy_score(y_val, y_hat, \n",
" normalize=True)"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"acc_values_val = []\n",
"acc_values_train = []\n",
"\n",
"k_values = xrange(1,150,2)\n",
"for k in k_values:\n",
" acc_values_train.append(accuracy_for_k(k=k,x=x_sub_2d,y=y_sub))\n",
" acc_values_val.append(accuracy_for_k_val(k=k,x=x_sub_2d,y=y_sub))\n",
" \n",
"plt.plot(k_values, acc_values_train, c='r', label=\"training accuracy\")\n",
"plt.plot(k_values, acc_values_val, c='b', label=\"validation accuracy\")\n",
"plt.xlabel('Value of k')\n",
"plt.ylabel('Accuracy')\n",
"plt.legend()\n",
"\n",
"fig_cross_val = plt.gcf()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Overfitting\n",
"===========\n",
"\n",
"* worse for flexible models\n",
"* model captures noise in training data\n",
"* low training error\n",
"* high prediction error\n",
"* countermeasures:\n",
" - regularization *** - Where is this in KNN? ***\n",
" - cross validation\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig_knn"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Cross Validation\n",
"================\n",
"\n",
"* split data into **three** sub-sets\n",
" - train: to train the model\n",
" - validation: to tune hyper-parameters\n",
" - test: to evaluate prediction performance"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Cross Validation\n",
"================\n",
"\n",
"* *** When do you not need a validation set? ***\n",
"\n",
"* *** Why do we need a train and a validation set? ***\n",
"\n",
"* *** Why do we need an extra test set? ***\n",
"\n",
"* *** Why could Rafael be upset with my plot? ***\n",
"\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig_cross_val"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Better Cross Validation\n",
"=======================\n",
"\n",
"* Measurements without error bars do not exist!\n",
"* Split the data multiple times"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"k_values = range(1,150,10)\n",
"\n",
"np.random.seed(seed=99)\n",
"random_seeds = np.random.randint(1000, size=50)\n",
"\n",
"values = np.zeros((len(k_values),random_seeds.shape[0]))\n",
"for k, c_k in zip(k_values, range(len(k_values))):\n",
" counter_rs = 0\n",
" for rs,c_rs in zip(random_seeds, range(random_seeds.shape[0])):\n",
" value = accuracy_for_k_val(k=k,x=x_sub_2d,y=y_sub,\n",
" random_state=rs)\n",
" values[c_k,c_rs] = value\n",
" \n",
"sns.tsplot(values.T)\n",
"plt.xlabel('k')\n",
"plt.ylabel('accuracy')\n",
"plt.show()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"k_values = range(1,150,10)\n",
"\n",
"np.random.seed(seed=99)\n",
"random_seeds = np.random.randint(1000, size=50)\n",
"\n",
"values = np.zeros((len(k_values),random_seeds.shape[0]))\n",
"for k, c_k in zip(k_values, range(len(k_values))):\n",
" counter_rs = 0\n",
" for rs,c_rs in zip(random_seeds, range(random_seeds.shape[0])):\n",
" value = accuracy_for_k_val(k=k,x=x_sub_2d,y=y_sub,\n",
" random_state=rs)\n",
" values[c_k,c_rs] = value\n",
" \n",
"sns.boxplot(values.T)\n",
"plt.xlabel('k')\n",
"plt.ylabel('accuracy')\n",
"plt.show()"
],
"language": "python",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"K-Fold Cross-Validation\n",
"=======================\n",
"\n",
"* split the data randomly\n",
"* but into disjunct sets\n",
"\n",
"![\"K-Fold CV\"](http://www.imtech.res.in/raghava/gpsr/Evaluation_Bioinformatics_Methods_files/image002.jpg)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Classifiers and Invariance\n",
"==========================\n",
"\n",
"* digit recognition is\n",
" - translation invariant\n",
" - rotation invariant (a little bit)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ways to Handle Invariance:\n",
"=========================== \n",
"\n",
"* add transformation to training data\n",
"* introduce canonical representation\n",
"* build into classifier\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Rotation Invariance:\n",
"====================\n",
"\n",
"![\"rotation invariance\"](images\\digits_rotated.png)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"Tangent Space\n",
"==============\n",
"\n",
"![\"tangent space\"](images\\tangent_space.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"KNN works!\n",
"===========\n",
"\n",
"http://en.wikipedia.org/wiki/MNIST_database#Classifiers"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Elements of Statistical Learning\n",
"================================\n",
"\n",
"![\"Elements of statistical learning\"](http://statweb.stanford.edu/~tibs/ElemStatLearn/CoverII_small.jpg)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Pattern Recognition Class\n",
"=========================\n",
"\n",
"* by Fred Hamprecht\n",
"\n",
"* on Youtube\n",
"\n",
"http://www.youtube.com/playlist?list=PLuRaSnb3n4kRDZVU6wxPzGdx1CN12fn0w"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}