{ "metadata": { "name": "", "signature": "sha256:96163f5d005802e46820cfb6fd93eb1e7c15223389dc59938cd16bdd991658b5" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "# The normal imports\n", "import numpy as np\n", "from numpy.random import randn\n", "import pandas as pd\n", "\n", "# Import the stats library from numpy\n", "from scipy import stats\n", "\n", "# These are the plotting modules adn libraries we'll use:\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "# Command so that plots appear in the iPython Notebook\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we'll learn how to understand and make a KDE plot manually, and then we'll see how to do it quickly with seaborn!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Let's start off with a carpet/rug plot\n", "# A rug plot simpot puts ticks wherever a value occured\n", "\n", "#Create dataset\n", "dataset = randn(25)\n", "#Create rugplot\n", "sns.rugplot(dataset)\n", "#Set y-axis limit\n", "plt.ylim(0,1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 31, "text": [ "(0, 1)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot a histogram on top of \n", "plt.hist(dataset,alpha=0.3)\n", "sns.rugplot(dataset)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 32, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histogram sets up 10 bins and then just count how many ticks appeared in each bin, setting the height of each bar" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The kernel density plot will represent each tick mark with a gaussian basis function.\n", "Let's see how we would do this manually" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Create another rugplot\n", "sns.rugplot(dataset);\n", "\n", "# Set up the x-axis for the plot\n", "x_min = dataset.min() - 2\n", "x_max = dataset.max() + 2\n", "\n", "# 100 equally spaced points from x_min to x_max\n", "x_axis = np.linspace(x_min,x_max,100)\n", "\n", "# Set up the bandwidth, for info on this:\n", "url = 'http://en.wikipedia.org/wiki/Kernel_density_estimation#Practical_estimation_of_the_bandwidth'\n", "\n", "bandwidth = ((4*dataset.std()**5)/(3*len(dataset)))**.2\n", "\n", "\n", "# Create an empty kernel list\n", "kernel_list = []\n", "\n", "# Plot each basis function\n", "for data_point in dataset:\n", " \n", " # Create a kernel for each point and append to list\n", " kernel = stats.norm(data_point,bandwidth).pdf(x_axis)\n", " kernel_list.append(kernel)\n", " \n", " #Scale for plotting\n", " kernel = kernel / kernel.max()\n", " kernel = kernel * .4\n", " plt.plot(x_axis,kernel,color = 'grey',alpha=0.5)\n", "\n", "plt.ylim(0,1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 39, "text": [ "(0, 1)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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buyiKwvn5me9gdq7lV/fnXEelsuVPxIbxcYUMfkwIMf+IWSw0ms06oZAjUPfB\n9vYOqqrSaNT9CAUvw9R5/ubdwNnZCaORI24PHuzferzpdEK/33VjyvfQNI1ut81sNqPX6xKNxshk\nLmLYg8EQ+/uPURSZk5MjJpMxrVbTLTTlJA/t7DxY2w1UKtsoSsAVoAtbe7FYRlWDNBp1Tk+PMAzD\nX4WvoigK29s7TKcTN1RxyWQyoVzeol53RHVnZ5fDwzdumGGBUqmy9hmBgMr29i7Lpcn5+Yn/eLvd\nZLFYuBOORjDohAwahpN67+0MOp0Wum6ws/MAVQ1ydnbMbDbzi5qlUmlGowGmaRAKhdnZcSZASZLY\n3t5lNBoynY55+rSKZS3p9bo8evSIcDhMp9MmFAqRyWSZzaacnh6vFBELUC5vuc5Qx9ZuWRa6rq+t\njFVVpVSqYBg6tdqP3AXHzr2k4Xu70uVy6U9qgssIMf+IOTtzTAXeFvk+8G7e5dKk2XRWsqPRgPF4\nRCaTvTZdH5xV+cnJsZ+uf11izirn587NuL29y/b2LrIsc3Z2ysmJ44h9V5jBEedsNsd4POLw8IBG\nw1lZy7JMLpfzqwN6qKpKuVzBMAz/nJxzVdja2kbXdQ4OXhEKhS6JsIdXSsCxlU+Zz6cEAs6KNZvN\ns1wuOT8/JRQK8ujR5ZR/uFjht9stdF3336MoCtlslna7RaFQIhgMcnZ2QiCgEgyGsCzLT/v/9NPP\nXeEe8ebNa9rtFuFwxHXAGv7OJJm82D1JkoRt29i2Y5MPBoO0Wg1KpRLpdIbpdML5+SlbWztEIlH6\n/a5vLvHGraoqg8GATCZDMKhimoZ73S92GeVyBUmSOT5+62es3heFQpFIJOL6j0So4lUIMf9Imc+d\n+tvRqFMe9D7xbt5m01mdf5lV+Xg8JJlM3aney2Qypt/vueKTIhgMUipVmEzGnJ2dEI8nrjTpBAIB\nHj58gqoGefv2gMlk4lcE3N+/ejdQLlfcrfn5mpmjUCixWCwYj8cUCsUrJ0mnJsmpn+5v2zbhcISD\ng5q78t3h8PANs9mUfL5IPn915IYkSWxtbfulgpvNOoZhUC5v0Ww23eSvx4ATo59MJolGI5yeHqGq\nQTd71DEDybLMwcFLP3xxOp1iWUs/rNCbAG3b5vT0mGQySTKZpNmsU6lss1wuaTQabG055pVer4ui\nBEin08znM87OTvxdjKIolMvbLJcmsqwgywqSJGMYBo3GxercmXyCGIbhO0zvC1mW2d5+4NeLEVxG\niPlHysm2zKcpAAAgAElEQVTJiVuNb/ve05kVRaFUqmCaJm/evHZXn7kbI2c0zUlYkSTZjQC5vazA\n6iThnVO5vMV0OmYyGbO1tXPtuZZKZT/6pt/vEQgEyGZzxOOX66445xRwRcxcMw9Y1hJZlpBlicXi\navvrcDhgMplQKBSxbYtAIIBtW7TbbXK5gm9yCIXC7O8/vjFUNJcrEAyGaDTq7urbKWblVUCMRCLM\n5xqSJBOJxLAse81XcX5+QqWyTSwWYzwesVgsmE4n6LqOJMkkk6k1P8V4PGI8HlEslikWy4xGQ9+U\nc3Z25tYNTzOdTqjXTymXt4lEogwG/bVdTLFYQlWD9Ps9ksm0a25Z0mjU/clxuTQxDJ1AQGWx0K4M\nH32fZDJZIpEI3W6HxWJxr8f6cUSI+UeIYeg0Gk71uNVkmvukVCqjKAoHB6+wbfvWyBlnVe7EJG9t\nXR+26DGZjF3H4br4GIYTWhgIqOj69TeoLMskk073Is9peFO4JDircFVVabUavk241WoSCoXJZHJ0\nu+21VTtclA0GZ+UZiyXcuPIZy6VJOBzm9NSptOgkAF1f2sAbd6WyxWQyYjgcUCpVaLedWuHl8haN\nRh1Nm5FKpQgEFN+EEAqFqFS2mc1mflVHScL3LSyXphvFs/49eavWra0dtrZ2AGg0zv3VeafTZmtr\nl3A4Qr/fQ1VVUinn/Or1c98ZrSgKlcoWy+XSb1whSTLLpek7llstZ3fhxc2vTgb3gSQ5UT7Osc5v\nf8O3DCHmHyGNRt3NMtz6YEWGFCVAIpHyi0jdlL2naZq7ypbY2dm9UwVGL1rGE5jVx710+Ebj/NoE\npuVyia4723nTdIpB3RZz79lxTdOk02mxXC5pNuuoqsrjx0/9xJ1VRqMhk8mYZDLtJ9A4bdp0QqEQ\n9foZ5+enbmr+3eKps9k88/mc2WxGMpmk3XYckLFY3N+tPH78jPl8zmjkpOQrirPzcEJHnRDRaDTG\nZDJmMHCKkCUSyTV/wWw2ZTgckEgkiccTvtlqPB4RicR823k+nyeZdMrytlqOGSYSiTAY9NeSc5zJ\nMOhn6XrO4Farga7rNBrnbk2d5yhKgGaz8aXq/XwVcrk8wWCIVqt1aSL+tiPE/CPDNE1arSbBYPBa\nW+x94ZggZL9E63U0GueMRiMSicQlcb4KTdPo93u+aHssFgu63Q7xeILt7V3/dVfR7bbdLMcUkiQz\nn8/v5AgrFsvIskyjUafVamAYBqVShVKpQiAQWFu1gxPDDRAKBVkuTcrlCrIs+xX9Wq0mo5HjGLxt\nVe4xHA6IRCJEImEODl5jWUvK5S03i3JIPJ5ga2sXw9DRdZ1CoUgwGHQdkE4summabG3tYJoG4/GI\nQEChXF73U3gT5uqOxXtNu91gd9eJCOn3+27kSYhOp+t2QEoxm02p18/8CdUxv5XdXUBoLUvXqcFj\nUCo5Tt5isYRh6PdeGEuWZcrlCpa1pNUSceerCDH/yHDExWRnZ+eD1nL2VoW5nFND+rqb0onPPsay\nLH+7fhvNZt01K1TWVrIXj2/5DtSrVudOD9G626g6TjyeQNO0OznCVFUlny+iaXPevHntr9a9fw3D\n8Fejs9mU0chZ2Q6HQ7e9WxzLstya6LYbDujUHrmLw8+27ZXdR4rT0yO/4bITK++Yi7xep6oaJBaL\nEQqF6XRaZDJptw/ojFgs7nZC0tF1Y63YmjcxRiLRNSeys7OI0et1yWQyKIpCs9mgUCiSSCSYTse0\nWi2/E1Ov11vLCC4WS8iy4tvxnUQkncNDp15PsehEA5VKTgerZvP63dX7wjOfNZuNe7fT/zghxPwj\nwrEF1gkEAmxtfbVuQF8Vzwb55EnVvSnrV96U7XaT0WhEPB6/k63cNA06nRbBYGgtftw0TdrtFqoa\nJJfLE4lEyWSyTCbjSwWxhsMB8/kcSZJQ1aCbZerUzPbizW+iXK649bh7bu0VJ/mqVLpYtXsTBkA4\nHEHXFxQKRdrtllsC9jGzmZNA5Jk47sJoNHSjXgrEYjEMwyAcjrg124fE43G/CcVyuSSdzqDrOplM\nxi2Fe+aGSTqf5XUOMk0Dy7rYUaxOjKsTpmNn3nInFUfEdd1xopZKW8iyQrvdJJl0TDbT6XhtkgwE\nVPL5AouF5la1VNzepnO3DoxzLYPBENlsntlsdqkJ9/tm1WF/UxG2bxtCzD8ier0OhmFQKJQ+aFNb\nwzDcRJIwpVKZbDbnrlKHa6+zLIvT0xN03Ul6uaqDz7u0246tulSqrO00nMdNX1DhwiTwbjZqo1F3\n09otwuEIT5584heFqtdv32p75XENw1jzBXgTiabN6XRadLsdt0vPGEmSSKcvok52dh4wHo/81Pq7\nmhM8s42TYOM0djYMnbOzE3fCcNL+R6MBsVicR4+e+nVhFEXh5OTQnzjG45EfAWMYhi9knqgFg8Er\nw1iz2RzBYJB6vU42W0CSJBqNOqVS2V+d93o9CgVnFd7tdhiPLyZUb0c1mYyIRJzuSJZl+aUGVl/n\nnPP9mz+8HUOz2RAVFV2EmH8kOCunOpIk3WvyxVW0Wo7jyrtpvUSad2thtNtt+n0nS/MutnJvp6Eo\ngbUqehePO0WrPDynXb/f8+3hnukDvASnCtFolEplyy3wdbkS4rtMJmNUVfUjOFYplZwJ5NUrp1lH\nPJ5kNpuRzeYYDge+eajX62Lbtuu4jNHrdW7dFXhj9xo5m6ZJsVhmMOjT6bSIRKJUKts0GnVmMyei\nxSmoFabX6xEKBdF1nUQiiWHovpg7JRgWflLZxcRYudI0J8sypZJTeGs8HpLJZJlOnVj9fL7oO4ad\nUE9H3FejRbzWeNPpFFV1EogiEWf3srqLisXiJJMpRqMBs9n0xmvzdXF2DHkWC+3aQnHfNoSYfyRM\nJmNmsymZTPYrdUH/qngRHYFAwHe4eqI6GPR9UXWqFDpFpzKZnF9X+yZ6va7v0FvdaQwGPb9Z8Wor\nOMck4E0kDfdfz9xj+13uwemkE43G6HQ69PvdG8fh1DIJUiyW1s4J8LvSdzotLGuJYTjhkYVCiXa7\niaqqpNNZv/ZIMplCVdUrI2EuH9d5vlSq+K998uSZG6Y59PuhDgY9QqEw5fI2gUCAUqmMZS0ZDAbI\nssx4fGFe0bQ5T558QjTqTEz9fo9Wq4EsKzeWnfUSpJy+rM41dqorbhGPJ5hMxkynTn7Bcrn0yw54\nXDhSW8iy4jbAuHwNrttd3QfeeYgCXA5CzD8SvB/kdenl90Wv1/VNO6sOPU9UvYw/r3Z4KBReS/q5\niWaz7q70y+887onc5R1IOp0lGAzS6bTRNCcL1rIsFMWZbLwxJpMpcrmCX6/kOhaLBf1+j2g05teO\neVeAnGYQS2zbMWXE4wkWCw3TNCkUSoxGAz8aZ3t7F9u+mASvK8vq1QIPhcIEg0FGoyHJZNq1x+vY\ntkUuV6DVajCdTojHE/6OLJ8vYpom/X6PTMYpjmVZXvKSTaFQJJVy0vK9apL5fP5Sj9RVnEJjZXR9\ngWHo/mQdDodJp7MsFpqb8l8hFoszHo/XUvzj8YRbmKtNMplyJxfLn7A9Uqk0kUjE/13dJ85EnPb9\nEt92hJh/BCwWF6F7N9VCuQ9aLc+0s16DPJPJEQqF6HTabl2OOuPx2K0NfntInrfSS6cza3Hos9mU\n8XhEKpW+MhJGlmUKhRLLpcnr1y+xLMsvILVqfvIKSkUiEVqt5rVdhFqthm8qyWZzqGqQdrvti7Bt\n20ynY7dS4IjlckmxWKLZbPjX5fz8lPl8Tj7vNIiQZRlZljFNk17v6l1Bu93GspYUi2VaLUcUS6Wy\nP2kHgyHm85m/0i2Vyn6RqkAg4H9+IpHAMAw0be4L6mg08ItanZ6eYBj6nUxz29vb7tialEoVbNum\n3W5RqWwRiURds5JTxMsr8uaZsCRJ8ieTdDqDLMv+pNZuX0yO3vfkPN68chzvE29BcN8JSz8OCDH/\nCGi1nIxAL7zrQ+FEjlwWXFi9KZfU6+fU66durZGdG1eAHt7q912RWTU9XEexWEKSJE5ODjFN03VG\nZi4V8srnCyup6Ze39Z65QFVVstm8G0rnTBRe2dfxeMR8PqdUqjCbzVgsFgQCqmvyyvnFukKhENvb\nD/wkIi8W35ssVrFt2zd9pNMZf4UejUZpNM4JBoNkMllOT50s2lgs7psMwMmKdYp8qQwGfbcBxYJc\nzplgHVNJiXA44td0v0vTkmg06hbtcroPqWrQDX/Mkkgk3eYdDYrFsivuQ795hWVZaJqGqqoslybp\ndNZtXmHSarXW/Bb5fAFFUfxM1/vE++1elc37bUOI+TfMu4LzIblOcD3y+SKyLPP27YGbup+8kxnI\nabLsND9eTd1fNT3cVCNdVYMEg0E0TcM0jWudwl6hLVmWqddPLzkku92O63Qs+Y5B7/+eCHur5lzO\nC5u0/RVlqVSm0agznU5IJtPk8wV3LBUURUGWndICk8nkneN2fdPHYNDDspaUSmXa7Rbj8ZhYLMGD\nB/tMJiPmc6cswGqNmVar6VZWzDEY9FFVFVmW/es2mYzdEMcwYKPrxrUNlt/Fu47tdoti0THnDAZO\nmQFVDbrF3WLE4wlms6kftumVENja2vUbgngp/oahr/ktFMXxbXgmrvvEM+N9qJ3Ax4wQ82+YXu+y\n4HwIrhPcVVRVJZNxOtBr2pydnR0ikduThNptp2ZHsbi+01g1Pdy2A7EsG8uymEzGRCLRa8e4s7ND\nPJ64ZOP1VseSJFEoXEwEquqsiufzGd2uE53jNHCYEY3G3DroTpJPKBTm/PwESZL9ZgzgpJQ73ewt\n9zjrDrizMydOu1Ao0Wo1kWWFbDbP+fkphqH75Vx1fYFts3Y9PFFSlADJZNqNKXeqI2qa5jup6/Vz\nt5pjGMPQ1xpM3IS3ku102mQyeSRJotVqUCiUiMXiTKcTer2uGx6r0O93mUwm/rV88sRp6u3sKGKA\n7UbDrJs5PPPHbU7i94HnS/kQO4GPGSHm3yBOooonONf3zbwPrhPcdwmFwm63e4mdndvDEb3VrqIo\n5POFdx73oi5utrnPZlMMw6mFous66XTm2jE6Lea2/NK93nZ/NTro3YYJ3u7CKyoWjyeYz2duSYE5\nk8nY7ZnZ9kXLcwgD7rkVXbuxTb/f8zvgzOdz+v2+H47orNALjEZDN60/SrlccbNOJQIBZa2DlBPp\no5PN5lgsNL/Tz9aWU/TKNE1CoTCnp0dIkuw3uTg7O72TkHl+AMtaumUJnJwCy1qSzxfcNPkG2WyO\nWCzBdDrh5OSt3zw6mUyRTjtNLeLxJIoSQJIufCQX30vUDVMcMp/Pbh3X18GLclosFt/qMEUh5t8g\nk8lkRXA+XDjidYJ7FZ5TLBAIuCuxm+n3vbDDwlobteFwwGKhuavam23ung8hEon5xZ1uolLZIhqN\nMhj0GAx67mdcb0KKxeJEozF/NenZWp3OQEsMQ/erI+q6U3/8XWetZ9eXJMmP9X73uBf/L9FonDOf\nz0inMyhKgH6/TzweJx5P0ulcZDF6YwoEVJZLp5iYJEE6nfObMOfzRSaTsRumWHWLZPUYDu+WeelN\nRK1Ww3d8N5urkSwjptMJmUwW01z6PWK91bb3r9eyzmmEYV9anXvX/kM4J73z+BA7gY8VIebfILfZ\nrO+L6wT3XTyHmGdDvUtm33Xn5D1+VTjiKqZp0u065ph43CnM1e93b0wMSibT7gpz5jaj0N1wxOiV\nafeSJBEOh1kuHefqcNgnGo25Ih4hGo1xfHzof8ZVpXbD4QiplGMGcRyhTT+TNhgMEg6H/QqGtm3T\n6TilC7a2nJZw0+mEVCpDPl9kMOizWCyYzWaMxyMSiRTDYd8PIYxGo0wmY79LkG0vMU0n+7JYLPsV\nEO8ab+35ZzRNc52nTrehWCxOOp1B0zRarabrCI0wHDrt6bxuRolE0nWQ9slksihKwG1N11lzQno5\nE16RtPskGo25NXUG39pORELMvyEMw3DttZE71/l4X3hOv9smkWazzmzmtElzmi/Xb1wlz+czN546\n5TciBqeRxXA4cIXp5tW9c+Mv/UqFDx489O371+GEKT4gGAzRbNY5OXEKgRUK15uQFosFsiz7MdzF\nomPfduKuM5ycHPq7ptWCVqt4FRllWUbXFxwdvXWdhFu+DbtYLNNserHkcZLJ9Mr1L7lx647T1Zvw\nvMgScIR3e/sBmjb3r+nR0SHRaJRgMMhkMqZS2XFL0NZdk9jteJNqu+2ItjfhlEoVIpGwW2ZXdssP\nGKxacC5MNRaSJLvX2NmhrNruPfOhU0f9fqspwsXv2bu+3zaEmH9D3NVm/b5xqiMOLgnuu5imyfn5\nmduoYscvbHRTtuV1k4RnNrlt8vC26l4CTzKZYmdnz3fS3UQ+XyCRcDIZDw8PXBPS1dFBs9mU6XRC\nPl9kOp2i67pbc8RZ/ebzRUajEbZtXdmT1MNzJi6XTp2Sw8MDV+iK/krcq9NuWRal0haDQZ/pdEws\nFqNYdOrgBAKOEHsFyTRt7hfRikajPHjw0B+3qqp+OKGqBl1TiVMnZzIZ3zmiw8lpiDMY9H3bd7vd\ndCNrksxmE1qtJpIkuyYfc80e7YUfDod9ksm0X0+m3V4P1SwUimvRQ/eJd0282vXfNoSYfwN4KzFF\nUe5cE/t94SV4vJsk9C6dTovxeEgsFqdUKt9qk/S62ASDwbWVrPN4y93a5658r8doNPSbY3gx4eHw\nRTjeqoPtXVRVdWuCe5mT2WtNSN6k4yUnSRJ+GdxSqeJ3owfpxu/HW6EqisxyafjO0uFw6GaPFun1\nOn4seaFQpNmss1g4fTxTqbTvTPWaYjjhiD1M0yQQUCkUyiQSSWKxuOu/wK0hE/fNCl54nmma1Oun\nd24Q4a3Ie70O+bzTDm86nfpFrM7PT5BlmVQqxXw+W/vuV8MPI5GI/51pmrZWNXE1emg8Ht1pXF8V\n5zdTdJO57n8n8LEhxPwbwLOR5nKFD1od0RNcVQ2STl9fW8VpnXbmj9HLPMzlckwmkyuzLbvdDsul\n6Vbeu/hZ9ftdTNP0nW434bUhsyxrbYx33T47SVdORu11Qu7Z5EOhEJa19BOR6vVzQqEw8XiCVssp\nQxyJRFgsbjZbeOc1HnsTjcTZ2RmSJJHPF6nXz9G0OZlMjuXSdBN2IpRKF7Xdi8USs9nUNa04Nnjb\nxq2Xk/evgWVZDAY9P4moUCj5C4NSqUI0GmMwGNxoklolk3F2BY5TteBeY2+lH3N/pxo7O3uAM8Gv\n2qO972U2mxIKhbFty/cfrPIhzR+FQsndyX37whSFmH8DrEY5fEguYtpvFtbRyMn8C4cjaw2lvXTw\nd2/K9Zju9XPyHr/tXHV94UeiONUUL8aYSqXdLD9n/NehKAE3zE/yqxy+i2eT92p6FItOaVqnCXLJ\njQoZkkqlXGG/2byjqiqJRIrFQiMQUBgM+oxGI9LpjFumoetexy1arSaz2ZREIrnWRcopjav4tdV1\nXUdVVXK5Cwd1NpvDMHQ/bFLXdRRF8c0uqVSadDrDfD6/c5Erb1fglQvwQgm9gmKaNscwdLa2dtwY\n9Onad+85mEejoR+lY9uWPwl4eL6Sfr97a6XJr0swGCKdzl6ZzLXpCDH/wHjOwEQieacU7PfFl4lp\nbzYbzGZTt5jVhd05k3FS6t+NWriI6c6txXR7N9RV5QLexVuVg31pjKux0athfJc/o+H2xYz7MeLv\nXgMn1l32hX5v7yGLhYamzUmns5yfn6Jpc8rlLVKptBtDfnN2ZSCgYNs2sVjSDeubuo5PJ3vU+a6j\ndLttFCVAsVheiy1vtRrEYjECASd9X5I8k8GFj8Fpquy09PNW0Z1Oyxfjfr9HpbJNMBik3W7eaJJa\n5cJ81lzJDm0SCKioqopt2267vrRfjGvVHu29x7KstXotq6LvfX/eLuK+uUhY+nZVUxRi/oH5psIR\nvZh2pyrh9THtur6gXj9DURS2tnbWKimuFlFaFdXrdhre47dNHl6ctmUtkST5yrj7i9joq7fPngkp\nmUy71RSnfsVHD68OSyqVYTDooapBdzUfJBQK02ic0263CIedypB3KRhl2zbj8djvujObTdE0jWAw\nSLNZR5ZlKpUtut0O0+nEdXxeXA9d192Wbjls28l4tSzbnwA8ZrOZG1IZYbFYEI8n3EbLqbUsTqce\n+eTOsd1eiOV4PCIUCrmTQYv5fEYkEnUbOHthilF/1+bhOR37/a7rp1Dc2jfr9VpyubzrZG3du/nD\nC51cTeb6NiDE/AOy6iS8Sz3w94m3SrnN3NFqNd1oi/iVMeH5fAFZVnxR9WK6I5H1mG6nt2bHd2De\nhHfTSZJybR2Wi9jo+aUOSHDR8LlUKrOzs4csK9TrZ+j6RU1ub3JxGiw4JRQ6nZYbo5zg7dvXTCZj\nf0K4S8EoL2Z/Z2fXP1YoFOL4+JDJZEIsFiebzdNsNjBNk2w2v9ahyfvsVTPFVVUQvZrz5XKFyWTs\nx68PBoOVei06lYrTIq5eP/sK9VqaFAol39m8vb1LMOjEiYfDURKJ9Xot4FW5dJyOqqoiSRKyrFwK\nJ3VKGOfR9Q9Tr8ULnfw2tZW7Ucyr1apcrVb/QbVa/cNqtfr71Wr18TvP/2q1Wv3/qtXqP6tWq/91\ntVr9cDF2P4Z4Nt93nYT3zargXlfjBHB7Tp74HeyvKlEbCKjkck6Hl+Fw4JtH3g2x9FZmdwm99Lbu\ntm1dm+gD19f7eNdmXyyWicfjTCYjf1XtiUgkEmU8HiFJEslkisHASb3P50t+7fTtbWdH4gjQzQWj\nPHPC/v4T3zkYjUZ5+/YAXdfJ54vMZjMmkzHRaGytqbVnjggEApim6V5vicVCW4sIMk3TbesX4uHD\nx/75ePZyrynFu1mc7faXrdfS8dP7Z7Mpjx499eu19Psd8vmSawrqrTnBvWzY0ciJ2nFMM8tLZo4L\nR+iHqNfiTMTfJkfobYryy0CwVqt9D/hN4Le9J6rVagT4z4B/sVar/SyQAv7V+xrojzs3OQnvm+sE\n9116vS7D4cAVnesbSnure8cs0fRFz8MrFyDLypqj7yqm04kvro7j8/oxevXenW5BFw42x2Y/83td\nhsNhKpVtTNPk9PTEF03btkkknDosXkVCr/SwojiJP6tt85xzvV6AnCQpJ2bfMAyCwRDRaIzpdOo3\nfiiXt2g2nVT+ZDK1VhnT25Fkszm3KuGSWCxOMBhiMrmw93tdkIrFsl8K2GtcYZqm3yS613MqUnoN\nmM/Pv0y9FqfccaNxjiwr7mTmdC/y2vw59VrifuEtD6dZt1evJeHa96VLkU/OYuLDNJPwQic/xE7g\nY+E2Mf8+8HsAtVrtj4DvrjynAX+9Vqt5d1UA+Hbm0d6B65yE981qFb7b6rDU66d+W7jrsh7hQlSd\nDNEphUJhzbbuRTPk87eHXnrJJLZt+zfgTXix0at2bM8+vGqaKJe33FC9Pt1ux3XqBfxoiny+6Me/\nZzKOmEqS5Jd29VgXoPWCUet1WJrEYk7s92QywTB0AgHVbQvXJxQKXerR6b3fqcDoROkkkylisYu6\nMRcTo0w+X/SrQDoOR8UPw/PMCp1Oi0pl27UZd+9cr6VQcMxnh4cHxGIxYrH42krf87lkszm3GFdz\nLTLFmwAXi4XfVu+qtnIfsprih9wJfAzcJuZJYDUkYFmtVmWAWq1m12q1NkC1Wv33gVitVvs/72eY\nP/5cCM6HXZU7Nl39kuC+i5M92HKbMOzcahoplytMpxOm08m1dVhuO1fPru60hVP8rfFNON2CVNrt\nJsvlEk3T/CbTq12avFWwps15/bqGYRik01l/5+G0TzP8hJ1+v0cikSQeT14KvbxKgLwGF8FgiHDY\n6f7jNUQej8f+6vYilT+xdp28jkvJZIp+v+8XrSqVyiSTab9XqZdIlc3m/QgYT3g9p+NsNiUcjvhm\nhUwmRyqVZjabUq+f3Xg9PQIB1W9cEQyG/OSlSCRCJuO0lavXzykWS0SjsUvZpl74oVevxSnAZV1q\nH7dq0rmrTf+r4vV3vWoi3kRuy1gZAat9zORarea7qF1h/y+AJ8C/dpcDFgofti3aXbnPcWmahq5P\nKJVyPHq0fatQvs8xnZ6+JhYL8fz5k7XoiHdpt08wDI1Sqcjz54/XQueuGlMwaCHLoKoKlUrWX4HP\nZjNMc872dom9vZsjdo6OjohEVEIhJ8b6009vHqPH06f7HB0dYdtzzs97RKNBqtXHFIvrtvbPP68y\nHHZot+vs7OyQTkeZz4M8e/aIer1OLBbi00+f8Jd/+ZeY5oL9/T03ImVANvvcn1jy+Tjd7jnz+ZBM\nJkIgEODs7IxwOMD+/j66PiYWC/HJJ4958+YNuq4Ti0WIx8N0OueEQiqPHz9kZ+fCxFKrnROLhdje\nLnJ8fEw0GiQUcr6nxWLBj370IzRtiKZp/jgTiYvfw2i0S71ep1TKslhM0PUxjx/vcXZ2RiBg8vz5\nU8bjPqNRl1hM8a/rTb+pdjuKqiokEhGq1Sd88cUX6PqYTz55wnjcR9enZLNxtrZKvH37lsmkRy73\nib/bWC4fU6vVSCYjzGZhd5UewDDGbG3t+cd59myfN2/eYJpTIHuv954kPeGHP/whmjZgb+/uC6mP\nVadu4jYx/wPgl4B/XK1Wfwb483ee/4c45pZfqdVqd/IytNtX92r8JikUEvc6rpOTIyYTjWJxh07n\nbvG/72NM0+mE83MnoWQ6XTKdXv15hqHzxRevMIwl6XSRwUDD+VqvH9Pbt29Q1TCyHOTFiwPfxn50\n9IbpdEGlkr5x/JZl8fLlW+bzqR+OeNMYV1HVBLOZzosXr1BVCV23kOXopeMpSgxJUhkOR6TTGkdH\nTq2Z2WxJo9Ehk8nSbA54/fotoJDPb7k1aU6p1d6u+TZisQwnJ0e8eHFAqVThiy8O0HUDSQrz+vUr\nVDXAYgHn5445JxgM0+0OGA4HlEplIpGL62EYBm/eHKOqQc7P24xGUyzLJhSKs1hI2HYIw4Ba7QCA\nRLb8EyMAACAASURBVCKBpoGmXZxfOJxiOj3k9LSJbQc4Ojrj2bNPmU4XvHjxmkePnhAMRuh0evzl\nX77i4cNHN/6mLMvi9LSBogQZj+doGui6xevXh3z22T+Hqjq9Vmu1N6RSGRTljPPzJi9fHvqmMUmK\nsFgsOTo6Ix5PMh7PmM10Xr58Szic9kVfVePM5ya12ht2du5+T3wVbDuIaUq8eXNMIlG4dpGyyn3r\nwVfhLpPLbWaWfwJo1Wr1D3Ccn3/bjWD5t6vV6k8C/xbwOfB/u9Euv/x1B71pfAxt4W5r9dZqNf36\nIatNGK7DM49kszmi0ahv9zZNwzc93GRzB68JwwJJcmp63OW4HqFQiEwmR6fTYTKZXBsdFAgECIfD\nbqTF0O/U45lRyuUtGo1zN7EnRT5f8CMzms36mvPQi3NvNhu+CSSbzTMY9F3nZIV2u8VkMiaXy/nx\n3rq+IBaLrUXotFoNLMsik3HMPpbl9Pv0nL9eXZrRaMh0OqFUuuyMjkZjJJNp31TjxLsP/Zjx5XJJ\nuew0tDg/P7sxcxbwzSEPHjxEkiQ6HSdM0TRNRqMB5fIWqurEiXs+E8eMc+5fJ8dhWsIwDEKhoF9R\n8V0n5GpEVLd7t9IDX5VvU1u5G1fm7mr7N955+OXK/282cArc7vYm29u7Hzwc0YnzjtwY5+2syJxw\nxP39rRsrKXp4YrSz88DvMD8cDpjPZyyXS7a2dm49V6c6oglIvpPxy1Aqlfniix8CJt/5ztXmHC/u\n26mIOCISiZBOZ6jVfuS2hQtxenqCJEns7u76TTOy2TzdbpvRaOhfO1VVyecLtFpN3rx5BTg+gdev\nX7oF03L84Ad/iq7rPHv2hJOTcxYLze3fGbgUjqgojtPTti1s23LT9y8m+2zWKU6lquq1E2O5XGE0\nGvjp/61WgwcP9hkOBzSbdcrlLU5PjxmNBrTbLSqVqz/HyQ6uI0kS+/uPefnyBe12m08//Zx6/Yxm\ns8GjR084OTlkPB7R7XYoFksMhwO3rdzYn6y8RhxemOL/396bx0iSbed9v8jIfV8rl9qruju7e2b4\nHheLz6YgSiC8QoJNQ4ZBCIZpW4Bs/SMvgGDJNkkDNi2AkA0ZlgVZlkBDgiWasiTTkGyRkklCpN4y\nmpnX09NLVtdeue97ZEZmRPiPGxFd2V3bzOvqnhnmBzRmujor82ZG5LnnnvOd7+v3u2janGq1TDye\nsD8H4Ylao1gssrq6e+G63hRSqRVKpSL1epVMJvdWv4dvE1/Pd/UlgeUPaWVabxO1mgi453nNF6HV\natLttvH7AxeaMLwKi6HgdDpJpVbsrN/60lvZ2VUYDgfmqL2gI54XnbopzmtpXyZ3aq0nnc4wm81Q\n1SntdtOkI2bNE0mPQCC0QMW0Tgmvapyk0zlmM5VqtUI4LMbbhcmHMJiwTC42NzfNk8oct9vDfD6z\ntUqEFMJLOqKqznC53LY2uoVOR1AbPR7vpWqDkUjUdhmKxwVNUdMEX90yzn5JUzxbmMg8D2tIKBqN\n4/P5WVnJousa3W6HeDxh2vjNSKXS6LpBtVohFkuYXP7BwqStx+O1ueqCpugELOPrl6ULvz9AJBKl\n2+3eWHrgi8JicqmqeqWE81cdy2B+ixDZqmIyMN4eHVEMbFRtsabLYBgGpdIpk4lCIpG8dlITxKSl\n9cWWZad53I+YrI0BqdTKtXTEarViKgMar2WkN0WtVjHNHsIXOuxo2px6vYbL5SYYDOFyuZnN5pye\nntgyvcXiKfP5nFxudWFAyqIY9nrdBRaEz+fDMAxUdUooFLKz2ZWVNOVykfFYIRaL29reLpeLYDBo\nrleUoqrVis2ptzYhS6/FguB1VwmHI/j9gUuFs8RrZ+0gLcpAlYWyQi63jt/vp91uXWoQYT2/tYmt\nrKwgy05bQdF6TDabs4exRDkpZb5OdUFN0XqeyUTB7XbbbkyvyitYG+hNhcF+EAhFzdfLZ18nLIP5\nLcIKMtfVrN80rNKO0Nq+vBLW63VpNht4vT5WVy83YbBwPhidH/VPp7OMRgOGwyErK1e/V4tKaBgG\nTqfz2jVeBEUZ0+12SCZXiEQiNJuN18Sw6vU6mjYnGo3aBsmTiUKn0yaVStPptOh22wQCQXK5142q\nrUBzfqOwNM5dLhetVssWEVPVqS1dkMutUSwWbQ2YQCCErou+SbfbtvVxOp2WXYZJJhcbc0JdcEo2\nu0YsFre1zi+CxeVvt1vme5zY6pH1epVIJGpnysfHx68FMmFA3SYYDNnUTlkWpy7LkDocjtDrdc/V\nulWbpmhRMc9rwQSDIXszjERiOJ1OW773fNC3OPXtdovpdMptwusVJTYxyPT1VFNcBvNbwmg0pNfr\nmjds8PpfeEMQ9c+yWdq5OrCWy0XTuDd27UARQLvdRlHGJBLJBSGs8yqE11VLarWyWSJ5XRnwprC4\n07ncGmtra3awtGBNLJ7Pfnd372EYBooyxu12USyeMplM7ID0KqxJS+skAqJX4Ha7TZ3yM+bzOel0\nlnK5xGg0JByO4vP5qVaruFxOtrd3cTqdttrhixfPAdHAtYKXLMsLzd/FDTN7bfZ6vunodIrTn2UF\nZ5k0rK5u4PF4KZfLr20KL7Py3MJmbpW+qtWKnYxUqxWy2TUCgQD9vuDGx2JxVFWlWi0vNFmtdc/n\nc1tzxjpxWLB6FVbN/rbx8rO8Gff+q4ZlML8lWAHnJnXoN4lOp81kMiGRuJqGNRoNqVbLuN1u1tY2\nb5Qdn52dAbw26l+vVwkGQwQCwdeO0ucxm81oNBr29KIYhPl85SfBgGji8/mJRmNkMhnT/7JqlxtE\nLXpKLBa3x+pDoRAej9iADg8PaDTq+Hz+S08kVjAVPYLKQulqdXUdRVFsQ+hazfr5GrVa1Wz+hdjc\n3LGZJpPJhGq1Yg7WdJnNVGTZaW4aL0s8QkJX1K+9Xq+dDIjrevGAtTVZ2u22bDZLIBDE4ZCpViuk\nUinC4QiDwYByuWj/nqqqpoiW7zXhN4/HY9fLJUkySzVN0/Q5jqIoVCplMpmcGdx7CxtqNBozzaCt\nISKXaXhdXxgWWllZsZUar2Pc/KCwTh+dTvtrOUS0DOa3AOvoGggErxS2etMQWd1i/fMylMtFWyHw\nJs3Z0WhIt9slHI4u6LCPxyO7dBEKhWg06pfqfwtBrTmGITTLv8hGZyn2WaYZVqlmNlNtedVqtbzA\nHkmns9RqVaLRGMFgiNNTwcpIJBJXWtklkyu4XC5qtaqdeQpjiKk9Sl8snjIc9k0d9bBty5fJZPH5\nhLmHw+FgNBraYmKKIgKJUEFc3BitJMD6uficcgvX9lVYp4XJZGI7Jwmtc9H87Pd7rK1t4HQ6qVRK\n9uvXahWzSZ67cEN7mckKZowlo5DLreH1+uh0hARCJCJMMcrlon0SEpthzj6FWcnCfD5fyM6t05mm\nzW9d4fD8PXfTydivEpbB/BZQrZYWAs7bwmAgGlOxWPxKiuFkMqFUKuJwyOaX/PpBinLZOmlcHHxW\nV9fNTFa7UAvDymw1bY4sy8RiCXy+11UZr4LI7Ot21mhB0M1kqtWSXZe2jCUszXJFGbO2tmGbPuu6\nxvr69pXXx2LaqKrKwcGenUm32y2zaStxdLSPJDnIZtdotYTfZzQatQNhOBzB43GjKGPTSahsamxL\nC3VqEKwSUZqLLkx7xmIJvF4vzWbjUqceKyD3+8K3td1u2VrnlUqZdDpDNCqkckuls3MNYtelJTYr\nGen3u7jdL7XO4/E4kUiM0WhIpVIik8ni9/vpdrsL2bnVC+h02kSjMVN6eEatVrG1aACzb+KkWi3f\nuhFzNBqzTxnnxdq+DlgG8zeMl82w14+utw3rCH1RQ2/xcWcMh33C4fBrwfkiiOy7RTgcXjhpKIpC\nu90iEAgSiURJpdI4nc7X3GhA1HGtjF2SJHK5z5+V1+sVdF17jSssBm5WmE6n7O2JurTDIZuDM1mb\ndbK6umGLQGmaTiBwvdOTlYmLhmvKzv7v3s2bDdUOwWCARCJh9wMymYzNuxZDQIJn7vF4GQ6HNn/8\nVQ2cl9dv8bORJIlMJmf3Ai6C1+slHk+iKIq9QVhN0dFoyHg8Znt7G+FRWqRYPDX137NX8q6te6la\nLZNO52zjCcEAEhorLpfL1IIZUi4XF9g1mYyYqrVs8SRJYjabLWTnTqfLpI+qtz7YIz7L1StPOl9V\nLIP5G0a1Kr7Qbzsr7/d7thfjVQ3XyWRCsXgKwNraxpWuQxasrHxzc3PhPVUqxYUTyHlO96IolUal\nUmY+F16XIjv6fJZ5mqbZtemLZHUzmRyqqtrWcf1+F5fLhcfjMZu8cebzOaPRCI/HgyzL9vu6ClZz\nV9eFsmOzWcfjEbXs+VwM/fh8ftrtNv1+n2AwbAZNgel0ymSi4PcHTB64ZppWBBYGpUQZq2OXa16F\nKPm4qddrl5axrBKC0E7328FckiTK5SIbGxt2pr2399ykRF5dYguHI7bueyAQwOVyUa1WSSZThMNR\nRqOB2RgV9M5ut7PgQmVZ5HW7bUKhiLnJzs3s/OWGn05nkWXZ/v7cJhKJpCn2Vf9aOREtg/kbxGym\nUq/Xcbs9X4g7/YPg82Tl/X6PcDhy7WNBCGd1Oi3TMeflSWMyUWi1mvj9/oUTSDqdw+m0jsziKC2y\nctUe3c9mr3/dV1GrVWz2yEXNWpfLja7rzOdzptMp8/nc1BIXm0o2u0qpdMp4PGJlJY3P57P/fhWE\nKYTXdCI6QNM0stmc7eTj8/mYzeaUy6J0kUqtEI2+DNJWyS2XW2M2U82JT4NAIPTKxmgxdC5OAiz7\nOWua8iJY12I0GhKJxDAMg06nvZCdr61tMJ1O7YGgm5TYrPtETJWuomkWS0Y4EVkbXDQaZTQaUiq9\nzM4FWydn8u6d9uaoqotZuCVn8OrPbwPnTzqVytcnO18G8zeIcrmErmt20+ttYTDo26PnF9HsLEwm\nCmdnJwCsrW1e6CT0Kqzse3V1/ZXgUzaz8sVSgdXUs47SIisvMZ9rtrvP+XrwTTCfz6hWy7hcrgut\n7AD6/a6pxeKjUikiyzJer8+sYcfMAakzXC4XDx58QDQaZzDo25/HRbDs15xOJxsbW/bofDAYplg8\nwzBgfX2L0WhIo1EnGAyxurpu/74ITGJztwyZJUl8RoNB36ZzKsr4XMP88sGtlZUMbreHWq16aUZp\nZeeDQR+fz29q6CSRJInj42NTe0aUA8/Xra+CdVqw1mhl56lUyrSsG5pDRWumcUZrwSfUys4F7zyK\nLDvNSdrFLNzqfVQqt5+dp1IreDwe6vXqgrXgVxnLYP6GMJ1OaDRqeDxe28brbeHmWXnRzMqjC0Hn\nMijKeKEmbmEymdBs1vH5fBeyQdLpjJ2dCx9OFUkycDgcNzoNvApRopmTyaya4+GLsAK10+kkFosx\nmUzw+fwL9FDhyTkgFkuQy62xubltStmeXTqQ02jUTZONFdt5HjD1TnqEw2G2t+8wGok6uCg9vOwp\nWPXjcDjCcDggEAggyy6CwZAZwMVoeal0ZmfvV5XmxOe3iq5rl7IxgsEQsVj8FZ9QkZ0Ph0NKpTOC\nwbDJOy/aMgNXQfQ4rOy8TDYrsvNWq8na2gYej5tGo2bqAInG6NnZ6YXZudvtRpZlDEOUoMrll5mx\nyM7TqOp0oVRzGxCf5Tq6ri/QNb/KWAbzNwTraPm2BbX6/Z49nHSZdyaIrPz09BhJktjY2LI511fh\nsiBTKp2aP1+/MPjIspNsdpXZbMb+foH5fI4kOYhGY5+bqjmbqdRqYljnsvpur9dlOBRDO5YpRKfT\nZjDom8444gvrdrvZ2tpBlmWy2VU7Oz89PXrtOYXa4BkOhxDREuWKOJIEBwcFQHwuvV7HnGZ1LbgU\nKYpiBjgviiK0TXw+vynw5bWldgeDPu12i2AwdK3SJIjaucfjpV6vXTo1aXHnB4MePp+PZrNBNJpA\n0zQOD18Qi8VJJlP0+z3Ozk5vdB3C4YjN0fb7F2vnkUiM4XBAuXxm0xbb7dZC32RlJf0as2U2Uzk5\nOVngl2ezIjs/T3O8LSSTKXw+H41G/VIO/1cJy2D+BqAoY1qtBn6//63Wyg3DOFc22bjysaenJ/T7\nfSKR6I2y48uCzHA4oNVqEgwGr+Ror6xkmEwUut0OmqYhy/K1a7wIVukql1u7sFZuGIbd0HU4RCDd\n2Nim3W4xHo9YXV3n+PjA1BJZsSdOnU4n29t3cLvdlMsl+v3ewvPWahVUVSWTydoeqvfvv89oNDJP\nKyHi8QSVSgmPx0MkEqHX69tHdmvDE03CEZqm4Xa7efDgPdOFx2A8HvPs2WcArK9v3qhh7nA4WF1d\nM+u9F2fn4j5MmcwWkZ23WnVkWWYyEeP5GxuClnl2dnIjoStJkuzrVyqdmfK6c+r1KuvrG3i9XhqN\nOk6naHCPxyNb+wbEBm9l55LkMK+lhKqqC+/D5XKTyWTtqdLbhGA4rdsnu686lsH8DUDUT40b6Zu8\nSbRaTUajIYlE8spa+WDQp1g8QZZlNjd3rvUgPb9JrK9v2e9pcfO4Ovho2hxdF8qBk8mYRCL1uRks\n50tXlxlDV6tVxuORbQ/m8XhZWVlB1zV0Xaff71OtVvD5fOzs3FnYENLpDIlEiuFwwPHxoV3Dns1m\nVCqiRh8OR2i1xOSj1+u1g5PfL8waej3Rq3jw4AMMQ6dUOqPf79vlqcGgz3Q6QZZlIpEoa2ubhEJh\nHA7JVBwsE4lcfap6FYlECq/XR6NRQ1EuzihXV4UMca/XJRQKm/fKCKfTyXg8Pncy6XFycnQj8alw\nOEIsJk4zbrcHj8dLrVYlEokRiyXM5qfIzv1+4UF6PiCn01k8Hi/dbptIJILL5UJVVWq1ysIpI5vN\nmZl/+VJe/ZtCLCZMqlut5q2bTN82lsH8B8RgMKDTufkx+U1B0zSKxVMcDseVGa9hGBwd7dsTjzeZ\numy3hUZ1PJ5caFa2Wi0Ggz6xWPzackmxeIrPJyzWLOXIzwur7npZ6UrT5hweHuJwiACt6zq53Br1\nes3WSfnss++jKGNWVrKvnZocDgfb23fwer1Uq2XabVHDtpgpudzawlDU6ekx8/nMrHlPKJdFozWX\nW2d9fRO/30+jUefp06cABAIBW+Pd7Xbb2beQT3DaJhI3YZSch5UlG4bB6enFgVhsaoIj7/X66Pe7\n9Ho9trZ2mc9ndDottrZ2TLej4o2Nn633UCqd2lltpVJic3ObQCBAsyk8XROJFJPJhLOzU/u04nA4\nWF/fsM2ehWaL2PDPZ8ay7GR1dd0udd0mxGcp+kdnZydfaUXFZTD/AWAYBicnh8DNj8lvCqIMMLWz\nncvQajWoVMp4vV62t+9ea5slzCpe3yQMw+Dw8HDhuH0ZhsMBzWYDTdNMNyIh4/p5vii9Xpd2u0kw\nGLq0dFUul5jNZsRiMfr9HsFgyNQYV9ndvWvymat4PF52du5ceH2SyRTpdBZFGXNwsMdoNKBeF7Vu\nl8ttT2TO54IS6PF4uHfvvm34EI3GWFtbN0WjNlEUhZOTE0KhMO12i8lEsXXFrZNJKBSyRcAE+6N9\no0bkeYgNNUqv16Xb7Vz4mGx21ZysLKHr4rNfWRESBZVKiUQiSTKZYjQacni4f6Pr4/X6zBLahNls\nZhpSt3G7PaRSaabTKcXiCbncGqFQmG63vRCohQ56iH6/b5o7e2yNmPOZcSqVxucTm+Nt66iEw1Ei\nkahpttG+/he+pFgG8x8A9bo44ieTK5/rmPyDYjYTdUaXy3Vlpq1pGgcHL1CUMel07kYaLOLIO2Fl\nJWPrfID1XsekUitXSgWIbPHYrI0KWtva2gb9fu/GXxRd1+1m7ebmxSP3k4lCrVbB7XbbpQbL5UZo\nlYjMUNPm+HyXuy1JksTOzl0CgSD1epVHjz6xKZdnZyf2tOrR0QvzWqcJhSKo6hTDMBYUJAOBEKo6\nRVEUM9hZkrluVldfboCz2Qxd15BlJ4FAkPl8btf9bwrx2YgS2Onp8YVUPmvKtNUSksOpVIpKpWKy\nUQQjZmfnDj6fsP6z7PSuQy63Zuq8FO2BsWLxlM3NHUKhkNl87pFOZ9G0OcXiGYPBwF73xsYWAJPJ\nGJ/Ph8Mhaufnyz3W5ihKe69L975JWPeZw+Hg7Oz41huvt4VlMP+CmM1UikVBh1tf37z+F94gTk6O\nTXu29SuNIMrlIs1mnVAoxO7u3WtPDtOp0GxxuVwLI+Ui2zrF6XQuBKWLYOmTaNocp9PF+voWW1u7\ndrPtJvzhWq2KooxJpdKXTrNazxUKCS/KeDxhH/E3NrY4OzthPB4TCkVwu91XbiSRSJTNzW37ffp8\nfiYThel0Qjqdpd1u0mg0CASCrK6uUyyeIsvC8X48Httf/nK5iN8fIBAIUCyeoigKHo+HbDa30KcQ\nx3nY3b2Dx+O1Lf5ebcJeB5/PTzqdZTqdXNosFCP0Fj1QlF0mkwl+f8D2a81mc0ynE/b3927EuRZJ\nxJotsZtMphiPR0wmE9bWNtB10ZSOxxNEo3F6vQ7Hx/v2tRenrRTj8ZhwOGy6Mc1N5cWXlMRI5GXG\nbJXAbgter49MJsd0OuXk5PLZgy8zlsH8C+L09ARNm9t6H28LnU7bLj9clWmPRkMODvbM4LZ97clB\n1NYPTQGqLbuOa5WSNE3jzp07V77X2WzG2dkxqjpFlp2EwxESiSQ+n88OOpXK1ZxeVVUpl8Vwj1XL\nfBXtdotOp43P56PT6eB0OgkEQvT7XbNvIXFycoTL5eSDD76J2+3h5OToyiGZtbUNHA6HGewUu6QS\njcY4OTlC1zVWV9fp90X5JxqNc+dOHlWdUqmUGI9H1GoV06VIlHvG49FrdnzCEESYIj948AF+vx+H\nw8FsNuP4+OBzZ4W53Boul4tyufQaVXE2UymVzojHE0QiglUjWCc1kskVDMPg+PiQzc1dIpEo7XaD\no6ODG2XB6XSGQCBIo1EnFIrgdDopFk9IpzPE43F6vR7lcpFcbtUedDq/4ayvbyDLTppNwYxyu92o\n6oxi8cRuer7MmGVOT48ulTF4U8hmV/F4vJydnV3aWP4yYxnMvwD6/R6tlsjU3qa353w+5+Tk0Gzc\n7V6aaeu6zosXBXq9LvF4ks3N7Qsfdx7NZsMOhudr1O12i263QzgcJZ2++r2enBwxnU4xDCHLurm5\nY69xdXUNj8djGzlchPMbx+rqxWqOs9mMkxNRu5ckh930rFZLtgrk/n6B8XhEOp1je3uXbHYVVZ1e\nWcoQrBKhGXN8fMBoNGJ9fYvj40N79D0ajZsDJoLSdv/+e3g8HiqVEnt7zzAMg1AoZGfhqqqSSqXt\n5q2mafbaLb775qZoQhqGbqpZfr6Gn3Uy1HVtIRBbgVoYdd8hk8kxmUwIBIKmxkyNlZU0ijKm3++y\ns3MXWXZyenp8o3KYw+Fga2vHbIae2Q3LSqXM1tYuPp+Per2KwyGTTK4wHo85Pj60+dxut4eNjU2z\nGSrsAw1DZzqdcnp6bL+OcMFaZzabLfz8NiDLMhsbW/Z9+FVrhi6D+efEfD4zZU8vr+feFs7ORNaS\ny61dWbcul4uUy0V8Pj/37j24VkxLVVXOzo7t4GK9p/l8xunpkfnFvfq9tttN2u0m8/kMr9dLNru6\nIHEry062tnbNRur+hRlos9mg02kTCoUvnaI9OTmyG2/j8YhYLGYbDq+urpm1X2GWce/eA1PTZNUM\nLrULpz2t4/3KygqpVJrJZMJwOKDf71GpFPF6fWxu7lAsnpisoORCMBayskWCQWEiMRqJPkogEKTZ\nrNnlhUqlxGQiSjdW+cg6vTidLlR1Sq1WsevLN0UikSIajdHvd+1BnVarSafTJhyOkE5nWVvbsId2\nIpEY4/EYWXbi8XipVErEYnEymSzj8Yi9vWcLBhKXIRAIks2uMp1OmEwmRKMx017OaW6gKqenR2Sz\nq0QiEdrt1sKGk0yu2NcvGAzj9XqZTCa0Wo2Fpm4mkyUYDL7289uASGYS9Pu9t+J+9CaxDOafAyLb\nEdlnLrd2Jbf7TaPXE1rRfn/gNUOD8xiPR7x48Zz5fM7Gxta1dnBWFjKfz1lb27QnQ8XPj8wguX6l\njouY5BOfi8Mh4/P5L2zMRiJR0ukMijJ+LQMVE6pHOJ1OdnYuru9bG4bP52c0GuFwOIjFYjSbDfz+\nAB6Ph/39PQB2d+/atEqxGVkbyYuFcsv5zdkSCfP5AkynCp988iHT6ZRsdpXhcECjUSMQCLK7e9d2\nSHK73cxmKvP5jFaraXPKY7E4u7t3GY/H9qSnNWD0qpTCxsa22WyWUNUpx8cXb3aXQZIktrd3cblc\nnJ2d0O12OT09QpZlu1/hdDrJ5/Pous50OsbpdNnmz9a1vnMnbxps1Dg6ullmKhILkYUnkylk2cnZ\n2Snr65vEYgm63Q71etV2syqXi3aQlCSJfD6PLMuMRgP8/gBut5vJROHo6MDWnxEnmV1TX+bwVh2J\nrDW5XMJa8KvEPV8G88+BVqth16u/iMbIF4WqqhwevrC/tJfJBWiaxvPnT+n1uqRSKXZ37117cqjX\nq3Y2fL5kVK/XzEnP0JWG1NZxXlEUDEPH7Xazu3vv0jUKgS+vmYH27eewsvXNze0LpQYstoMkOUxu\n8oyVlQwnJyf28fj586cMhwMymZzNmLAQCoXJZleZTCb2gJDoExwwnU5NhcUysizz/vvfQFVndDpt\nWw2wWDzFMATfPJFI2Z/3/v4eoVAEr9dHs1lnOBzi9/vZ2tphY2Mbj8dLsXjKZ589AjDLGYuTrC6X\ni52du3g8HmazGePx6EoBsIvgcomylq7rfPzxd5nNZmxsbC0wkpLJJOl0hslkisfjMS3xqiQSScbj\nEd1ux752R0f7N3L+sTZKEH2kXE7otlQqJXZ379rCZ4ahs7KSZjQasb+/Z5+QvF4va2ubpguT+Lvl\n1Xpw8JIu6fcHyOXWUNUpR0c3o1F+Ubjdbra376DrOgcHL74y7JZlML8hJhOFk5MjZPnyzPE21jgP\nuAAAIABJREFUIG6oPWazGevrm5eyO6yss1w+w+8PcP/++9c2ZoUuyTEul2uB7SKEksTP79y5PDCD\nKB1YfGqv18fGxjZ+/+UlIFmW2d6+C8DBwZ7d8BTj9kk7UL76GezvF5jNZng8HiYThWhUuNZrmsbG\nxjYnJ0c0GjWi0RgPH35woSDX6uq6PQ1Zr9eoVitmKSLKfD5jPB6zspLB4ZDMmrzEdDrh4OAFo9GQ\ndDqzsEGenIgacCwWJxAIoKozJhOFXC5HJBLF6XSyu3uXbrdNvV4jnc5c2ogOhyO2Jvh4rFCvVz+3\n2JTQLhdTn7quXzg1u7a2id8fYDQaEgyGmEwmzOdze3DK7w+YHqdjnj17fKNR/1AozOrqOqo6pdfr\nmiWfHqqqsrq6znyucXJyTCKRIh6P0+m0Fko5KytpotEYijLC4/Hi9wfM5+osiGDlcms2r/22R/2j\n0Zg9f/B5N9Z3hWUwvwE0bc7+/p6dOZ7Pdm4bVp02Hk9emSFXq2UODvaQJAd37+avdTmazYQVGgjn\nequuPp/P2N/fwzAMdnbuXFlv73Y7lEpntvlCIpG8kWJkKBRibW0DVVV59OgjisUzPB4Pm5s7rz3W\nKgMNhwN8Pp+5aXhxuZyMxyMymYxdovF4PDx8+MGlsgEOh8MskbjY3y9wdPQCl8tNNBql0ajj9wfw\ner0cHx8SDIbIZDL0el2KxVMikSj5/EN7g2w266bWuYfRaISqqkQiMVwut3lKEZmjJTHgdrsZDAZX\nUjOtYCU2LHGCuEkwtdBut9C0OV6vD0mSaLUarz1GlmV2d+/icMgoytg0Xe4SicSQZScnJ0dsbm6T\nSq3Q6bR58uTxjcoa2ewqsVjcfr8+n49arUIikSKdzjAcDigWT1ld3bCHyKxBJYvr7/V6GY2GeDxe\nvF6fLQ9gTadKkmTfq5Zy5W3Cmur9Ihvru8AymF8DkRXumaYGmWtr0G8SrVbT1hXZ3t659DTQ7/d4\n+vQxqqqyubl9YVA8D+v4qKoqa2sb9mi+ruscHu4znU7MptXl8gSKonBwIAZpRJ3Zv9A8vQ7C1T1o\napn0uHMnfyFnvl6vmZrgblRVxeFwEInEaDSEBG8wGOTZs8/QdZ3d3Typ1NWMG7db1KxbrQatVotE\nImHzxlOpFZ4/f4KiKKyurtqGxJY4lNV07vd7HB8LVoqmaYzHQxwOB+l0hu3tXTqdDmdnJ7TbLUql\nM6JRUT8fjYacnl4+AONwONjZuYvP50OShICbdSK5DuPxiKOjfZxOFz/+4z+B2+3m+PjQLmWdh7hW\n22iaxmw2Q5Zl6vUqqVQaXdc4Ozshn39IKBSmWi3bTJ2rIEqAd0y9lgqplPD1LBZP2draJR6Pm595\n05wgFvXv4+NjQLBy7ty5jyw7TQkCL263x5xOfWGzYMQpUpyODg72LlWOfBMQm7+4L4+ODm4sefCu\nIP/CL/zC23y9XxiPv3w2TYGAh4vWZWlftNstotHYWy2vTKcjPvvsCQ6Hg3z+4aUZ8ng85vvf/4hu\nt002u8b773/jykEiS6ul2+0QiyXY2BBThFb9uNNpEYlEL6Q+Wp/TbDZjb++pmRlJBAJBm6Z3Uwi1\nvDKKMsbvDxAMhl4zrej1unavwDBA1zXi8STNZt2efv3ss0f0+33W1jZ58OC9a+WHBZ9bUPaEwXLF\nrtu+eFGg222zspIhEAhRLosBKpfLbTbjDPz+AHt7zzEM3Ratms1UQqEw9+49YGUlg6IMKBYFo8jj\n8ZHPi5/3eh263Y5t0nERnE4nwWCYXq/LZKKYm8WYeDxx6XubzWYUCk+ZzWbs7t6zJRQs9odwFHIu\n3OeBQADDMOj1ujgcMrquoygKsViMwWBgDqWt0WzW6XTaOByiqXud3no4HDZprn0ymSz9fs820xbS\nA8LgQjB/hAaQ2+0lGAzhcrnwer3mgJCEy+VEVVVmM5XhcEg8nkCWZdv2r91u0e8L+u1FippfFOc/\nJ5dL6M+3Wk263ZfyvW8bgYDnv77uMctgzuXBvFIpUamUCQSCNs3tbWAw6JsZmcbdu/cvZc0oypjv\nf/9DGo06iUSSH/7hf+7KgGo1K5vNBqFQmDt38raN1+npMY1GbYHS9yoCAQ+93ohC4Sm9XgdVVQmF\nIuTzD29kjmzB2gym0yl37uTRtDmdTgun00UwKHoCvV6XFy+eo+u6Gcx1EomkGVgcrK9v8vTpY4bD\nPul0jm9840euFazStDmFwjMUZUwut8Zw2Gc0GuL3B+l2O7RaDRKJFMlkitPTIzPbv8fu7h2azQaN\nRo16vYbT6bTLK5Zi4+7uPaLRKLIsk0hEePToMYoyZnt7xzZNjkbjdDptOp02sixfel09Hg9er4/h\ncMBoNETXRUCPxV4P6CKQP2EyUVhdXbedmEQpykW73aLX65paLv6F+zwUCqOqU0ajIS6Xi/l8zmw2\nw+/3MxgMkCSJRCJps4jcbjeRSOzKgO5yue2NRGxCQmVRVafmhiYCejgcwefz0+226XQ6hMNh/P6A\nffrp9bomC8fFZDJlPlcZj4fmpiYTCATRdZ1ut0O/37N//ibwajzweDy43R5araY5uxG/sCdzm1gG\n8xvi1YtnGAbl8hmlkqjl5vPvvbXdeDQaUig8w+l0sLGxe6kS42Si8PHHH9Jo1IjF4nzzmz9GMBjk\n/zlrsN8fczeyGFytgF2vV+3NydLVLpfPqFRE8yuff3BpZu92O/jkk+/T7XaYTqeEwxHu3s3bWeZl\nr30eqjrlV37nV3he72OEM/x4/h6RSMy0GmvhdDrtoSdd13A4HIyePMbbbjMNh20Vxb29Z9T3nhOb\nzfixn/qXr+XS/84/fsFnn37Gi0qT9lgmERQNzkAgSK1WodlskEgkyWRyJiVTZWNjmwcP3icSiaLr\nGs+f7dFud/D63Kb5g9CH3929Zw9a/a1ff8L3H3/GyFlnIqkEHQGef9qkejZm604K7bd/k+dHj3k6\nqbEayV7a0Pb5/Kbi5Jh24wXKsMZM8yApnzAdHuIL7/Ir/+g53/2NX8fXOOE0PuW3KwdUjgO8ty36\nJdaAUOX0n1GvFDgsyBzvd/j2UZsnR23e30mYxhLCKWk2OmIybuJ0i+GpwaCPx+MlFkvQajVpNpv4\nfMLM+qqA7vX68Pl8tNtNVFW1TUB0XTBaut0OL6p1hu4gu+k41epLKWGfz2c7JAlrPXC7XSjKGFWd\nmacHkaFbptrdbofBYHDl6eXz4KLkzu8PIEkSnU6LTqdDNBr93GqXP+Carg3my5r5K7BKK6VSEY/H\nSz7/3rX6328KvV6XQuEpuq7x4MGDS5uY4/GYjz76nh3If+RHfp8dUB+3hzxuLzbNdF3n5OSQWq2C\n3++3A7n1c+u9ip9ffIPOZiqPHj2i3W4ymSiEQmG2txc3m4te+zwmE4Vnz55Q7lRoe+McOMNIkoTf\n7+f+/fdwudzs7T3jo4++x3w+wzDE9eDsjNbZKZqmkUyu8OzZE1qtJr5Wi2zhxZWqkSBKOnuFJ1Qr\nDU5bKieVBpPJhFgsznw+R1EUZNnBbDa3ewbr61s8ePA+siwzHo9EOUV1Mp9rVKsVyuWiWY66Y/dR\nxInqKaflDieuGkfBGg6Hg+OjF+w9F8My048/IvfikIpS5+jogHK5eGk9Op3Osr6+iVvqMug3aTbr\nvHjxhEH7CaqqUth7SlXR8B0d81Q/pDTf58Pni4261dV1It4mo0GVTx8/4uB5iQ+f1+3HORwO7t69\nRzgcYTKuM5s0mE6FfovH47Uz5O3tO2janMePH91IYTEeT7K9vWtqrgjvz+l0gqIobG/fYTDXqZdP\n8Xg8JJMr9HodHj36iFqtaitzZjJZJEmsMRAIMZkoNBp1nj//jOl0ag/uJZNCk75QeHqr+ufZ7Cqr\nq+tMpxOePXvypeOgL4P5OVi2WrVaFb8/wIMH77815kqtVmVv7xm6rrOzc4eVlYtZIa1Wk+9+93fs\nQP6jP/rjV+quiJLGM+r1mpl5P7SP1C9ePLd//uDB5ZvWcDjgyZPHVCrCRCAajXH37v1LDSMue47n\nz58IidqQzjQch3PZndcr/ES73Q7tdtMeKfd4vExlGclUKHzx4jn9fpd0Ostub4jnGuEu4ebzGB0V\nB25k5jjQicXEaH6r1SCXWyUWS9Bs1uh22+Ryazx8+AFOp5Ner2Oue4oTPw686Lpm8+otnfZWq0Gh\n8BQJg7EUZxYw0N1w//57gMwcMchjAC5NQ4lrNivj6OjgUpZLLrdGNukg4BOntk7fYP/U4NGjj5CZ\nMZn7SE6mcEmiLEkSyahEKiZhoKFSx8mi3K4sO7l37wEhv3i8ruuo6tTW2BFUR8Hk0nWdZ88e89ln\nj641hE4mV8xNQKPf79kCZqPRkHk0DZKDo6MjHA6JRELY2D169BEnJ8LGb319i3Q6a88EBAJBZjOV\ner3GkyefMhoN7Y0mmVxhOBzy9OnN6JRfBJYz0ebmNrOZyvPnT26dUfN58HYLP19ijMcjWy5W1I3v\nv5VjlCX3Wq9XTV73/Qvd660pvWfPBGslnc7wQz/0I5ce00G8p/39gpmFJmynnfF4zOHhHuPxmGg0\nxu7uvUsbSGIa8IBer0Mg4CORSHLv3oMbT78ahkG1WqFYFFzdjY0t1PlvLwRyTdM4Pj6wa/m9Xo/J\nRLHH0WXDwKnrPH/+xB6G+eCDb3L29/4eyBfnI4Zh0G63OD4+RNPmSDjRmSIBc1wcHR3Yaosul9sO\nNhZHfjDooSiKaXosGBM6KhIym5vrDId96vU63/nOPyGVytDvizH2IUkMyYd15wQCQdysMKNJrVZF\nDfjwqAN0Fzx8+AEvXjyn2RTG0bu7dy8sF0VDErLsoG/EOWlDq2cQmhdR8TGeS5fF8QUkIhIuKcbM\naBOkyYSwTQsE0+A4JVFrg+Z0Mp/PbOVLl8vNeDw2rfZ2OT095vDwBYoy4oMPfvhKaYlUasWczC2g\nKGN7ZF9SJ8yjK/j9OrValWg0RiqVptVq8OTJI8bjEXfu5M3BJx+np0eoqmqrTNbrVebzOTs7uyQS\nKba3hR5MsXjKs2dP2NnZJR6/HQvHdDqLLDs5OtqnUHhKLrd6qR/u28Tv+WAu/P9KPH36FF3X7aPt\n22h2DgZ9jo8PUBTB0757N39hyWA8HvP8+WcUi2dIkpgiFGWJSzYb09OwUinZQlTWCLml22K9V4vN\n8iosvZZKpUSvJ5zoc7kcmczmlaP9rz7H8fEB3W4Ht9vNzs5dUQ46fPmYfr/Hyckhg8GAyWSCz+cj\nmXQxGPRFHXemMnM5mcoyIV3n7t375PMPr2QvWGJc7XYLXddFk5c5ICExJ8CQ6TRKNBplMpmYFm8B\nHj78ALfbw8HBC7797X+CLDtxuz02TRAkHIT41rd+P+PxmE8++ZDT02POzk5ZXV3jR3/0W8y/8ymv\nrkzCiYsVIpEox04nnWgMpyLhcrm4f/89jo72abdbPH78iI2NTZLJldeuidcNc1kETbF/SXgYEXBJ\naDeMIU4pBDjRaeGlx97eM7a2dux7TpIk0nEDZ3KLYvH0nPIjgIGqTu2eRa1WoVQq0uv1ePDgvSst\nE8PhiL1xKYoivluGjmM2JZvdYD436HY7eDyiHj8YDHjx4jmtVpMHD94nnc7g8/k4ONizNeo9Hg+N\nRtWUKc6wtbVrD10dHr5gf3+PeLzN5uaWLb3wJpFMpvB4vBwevqBUKtLv99nZuXNtye828Xs6mA8G\nfVP4fmYOU9y7dtjmTWA+n1EqndlmAJYQ0qsBSqjsHbG398yk8Pl5+PCDK/03pekYuV2lpPpwuz1s\nbe0Qjcbsac/RaGgrGl70Xg3DoF6vcnJyTLfbZj6fEY8nWFvb4JvffEirdX2dUNM0arUKlUoJTdOI\nRKLs7Cy6HEmahtwq82xSZjweoes6Pp/fbHrK9gBOrVZl4vXgnWl88MGPsLFx+XsXaoANW0bVaqDq\nuo6BjsEUDyo6Mj5fgMFggGEYZDI5Hjx4n2AwSLVaQdcNVFVFVQc2oyKVSuPChRPhXSnEoYSWuqII\n4+pHjz7CyQzDeD1TlXBw794DxsqEokvC23Wwv19gbW2T3d17hMN1zs5OODo6oNV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"text": [ "" ] } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "# To get the kde plot we can sum these basis functions.\n", "\n", "\n", "\n", "# Plot the sum of the basis function\n", "sum_of_kde = np.sum(kernels,axis=0)\n", "\n", "# Plot figure\n", "fig = plt.plot(x_axis,sum_of_kde,color='indianred')\n", "\n", "# Add the initial rugplot\n", "sns.rugplot(dataset,c = 'indianred')\n", "\n", "# Get rid of y-tick marks\n", "plt.yticks([])\n", "\n", "# Set title\n", "plt.suptitle(\"Sum of the Basis Functions\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 55, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 55 }, { "cell_type": "code", "collapsed": false, "input": [ "# Now we can see how to do it in one step with seaborn! Awesome!\n", "sns.kdeplot(dataset)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 58, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 58 }, { "cell_type": "code", "collapsed": false, "input": [ "# We can adjust the bandwidth of the sns kde to make the kde plot more or less sensitive to high frequency\n", "\n", "# Rugplot\n", "sns.rugplot(dataset,color='black')\n", "\n", "# Plot various bandwidths\n", "for bw in np.arange(0.5,2,0.25):\n", " sns.kdeplot(dataset,bw=bw,lw=1.8,label=bw)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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E66H/w6MA5DlyANBY+8SYvDDtRJIXLhlN3hYsJ2pJ6I9g37CRDzpBq5Eoy03E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\na/icmp6T59Vx37QM+4xZxFqaaXvmP84biE3Psg8K/fb1p9i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"text": [ "" ] } ], "prompt_number": 73 }, { "cell_type": "code", "collapsed": false, "input": [ "# We can also choose different kernels\n", "\n", "kernel_options = [\"biw\", \"cos\", \"epa\", \"gau\", \"tri\", \"triw\"]\n", "\n", "# More info on types\n", "url = 'http://en.wikipedia.org/wiki/Kernel_(statistics)'\n", "\n", "# Use label to set legend\n", "for kern in kernel_options:\n", " sns.kdeplot(dataset,kernel=kern,label=kern)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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TyTqaW4IUlbm54c5aTKaxPei8WCvWVVAxN4/W5j4O7Dp1wXOLPGUARE3jm+YR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\nBlVVf6yq6k5VVbepqlozwjl2VVV3qKq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"text": [ "" ] } ], "prompt_number": 75 }, { "cell_type": "code", "collapsed": false, "input": [ "# We can also shade if desired\n", "for kern in kernel_options:\n", " sns.kdeplot(dataset,kernel=kern,label=kern,shade=True,alpha=0.5)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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LarkHVkj30AztY0dQrkWmYyLVo6dS+rrEpNvFUZMkmSQu1G7/3xk709Mz/N7v/f5uh2EW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\nNQN2twe4BYtS2WV2sUK17lGpFZiZLk9o6z6Yg1r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"text": [ "" ] } ], "prompt_number": 79 }, { "cell_type": "code", "collapsed": false, "input": [ "# For vertical axis, use the vertical keyword\n", "sns.kdeplot(dataset,vertical=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 76, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 76 }, { "cell_type": "code", "collapsed": false, "input": [ "# Finally we can also use kde plot to create a cumulative distribution function (CDF) of the data\n", "\n", "# URL for info on CDF\n", "url = 'http://en.wikipedia.org/wiki/Cumulative_distribution_function'\n", "\n", "sns.kdeplot(dataset,cumulative=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 81, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 81 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Multivariate Density Estimation using kdeplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also use kdeplot for multidimensional data. Lets see how it works!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Let's create a new dataset\n", "\n", "# Mean center of data\n", "mean = [0,0]\n", "\n", "# Diagonal covariance\n", "cov = [[1,0],[0,100]]\n", "\n", "# Create dataset using numpy\n", "dataset2 = np.random.multivariate_normal(mean,cov,1000)\n", "\n", "# Bring back our old friend pandas\n", "dframe = pd.DataFrame(dataset2,columns=['X','Y'])\n", "\n", "# Plot our dataframe\n", "sns.kdeplot(dframe)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 88, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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CvlNjiFwu59KZb4wzbbPb7TzyyAOkpaXw+utvM3Bg21LP7orZzeufLcXZyZmF\nD79In16tS79abqpk1e7fWRezGYvNQoBnN+6YdCNjeg/H19e11e+d2WrhQNYRtqbsJzbnOHbJjgwZ\nAwMiGRkSTX9/HYFufhc0e+DF/myNdVW8t3M5B7KO4O/qy6vTn8DXueUoo5T8dJ78cj5atROL/zWP\ncP+QNo1bUl7KzxtXs3HXRurMZjRqDROHT2DmlGsI8u/e+n5Kilm27Au2bNkEwKhRY7nnnvsJDOze\nqZ8L6NzPLQhB7zA6841xpm3btm1m6dJXmTRpKk8/Pa9N/aRmpfHUG88il8l567klhHYPbbGN1WZl\n7cGNfLd9NTXmGnzcvLll3LVMGTjudKrYlt47SZJIKclk48k97Eo7RJW5BoCe3j0YEzKYceHDWiWA\n7eVSfLaSJPFt7Bp+OrIeH60nS696Gp9WXNP+lAMs/u4DnDSOvHzbc0R279lim3OpNFaybscGNu7e\nRFFpEQBD+w3h2qkzGBDZv9VfjklJiXz55cckJh5HqVRy9dUzeeSROdTVdd7i1J35uQUh6B1GZ74x\n/rbNZrNx3313UFxcxBdffEO3bk1nNzyX2ro65ix6mIKSQubPncfIgSNabJOan8G7az4lvTALF0dn\nbp9wA5cNnoRKcba/trH3TpIkUkuz2Z0ew96MOPIM9ULj6eTOpJ7DmdRzBD08zm9bemu5lJ/tj3F/\n8u3h3+nlHcwbVz6NQwsx+D4+Lvy0ZT3v/vYJMpmcMb2HM2PE5egC2y7sNruNfXEH+G3zGhJTkgDQ\nhUZw85U3Mqz/0FYJuyRJ7N69k6+//oyCgnzc3Ny49dY7ueKKq9u92/Ri0pmfWxCC3mF05hvjb9u2\nb9/CG28sZvr0q3j00X+3qY/lv67gp3WruH7atcye1fIi3LqYzXy6fjk2u43Loidy15Sbm1zwPPO9\ny67IZ1vKAXalx5J/SsQ1SjVDgvoypdcoogN7n9euUYO5ikxTAblVxeRWF1NcU06NrY4aax11NjMK\nmQK1QoWDQoVW6Yi7gzMBHl6orA54ql3wcHDFQ+2Ci8oJB8WF3/AkSRLv71rO5uR9TO41ksfH3tms\nkP793sWkHOG/m74/XRUpIjCckZFDGdyzP2F+wW12QenTT7Jy3c/si69ftA4JDOa2a25hVPTIVvVl\nNpv5/ffV/Pjjt1RVVREUFMwDD8xh8OCmd7h2BJ35uQUh6B1GZ74xfHxcKCysZM6c2WRnZ/Hllyva\nlHQpryjp2GC9AAAgAElEQVSPBxc8jIebO5+9/HGz5eEkSeKrTd/z674/cXVy4enr5jIovH+T5wNo\nXOT8emg7m0/uRV9cH9usUaoZ1qM/Y0OHMKh7b9TtjEm32m0klKcSW6InvuQkGab8Rs+TIUOjcMAq\n2bDYrY2ecy4OciXOKie0Sg0ahRpHpQOOCg2uDlrcHZxxc3AmUOtDb49QnJSt3yBltlp49s+3SC7J\nYPawG7i239Qmzz3zvpMkiaMZify2fx2HTsafjuDxdHYnqkcEusCe6AJ70jMgFI2q5eLdAJm5Wazc\n8DM7Du7EbrejC43g3ln3tHrtRKGw8N57H7Jhw5/Y7XZGjx7HI488eUnqmbaGzvzcghD0DqMz3xg+\nPi78+ecmFi58nsmTp/LUU23znb+77H027dnCc/c/w7ihzUe0/LjzN1ZsW0mQdyAv3fYMfudkBzyT\n8upKVh/bxHp9fWEHGTKiA6OYEjGKYT0GoGmniEuSxMnKLLbnx7GrII5KcxVQL8C9PUIJd+1Od60v\n3bU++Dl64qjUoJarTs887ZIds91KlaWGCrMJydFKZlER5XXG+j9mI0ZLNSZLNVWWGqqstdTazJjt\nje/ClCMjzDWQaK8Irgoeg6e65SiWkqpynvz9dcqqK3ls7B1MjRjd6HlN3XeVVQbi0o4Rk3KEuNRj\nVFRVnj6mlCvQde/FgNDeDAjtS1RQRIu/enIKcvjmt2/ZHbsXgFGDRnLfrHvw8/Zrtt3f9qWnp/LR\nR+9z/PgxPD29ePLJZxk8eGhLb8NFpzM/tyAEvcPozDeGj48L9933AHFxsXz00ReEhbXev1pYUsi9\nLz5IgG8Anyz6sNl49U3xO3hvzWf4unnz5j2L8HZtfFGvylzDd4d/Z8OJXZhtFnxcPJmuG8ekniPw\n1nq0+fr+pqLOyKbcg2zJjSG3un43pJuDljF+Axjm24c+HmGo2+Emae1na7PbqLHVYTBXUW42UVFn\nINWQS0J5GsmV2VglGw5yFdcEj+WmsMlolM3PkjPKcnnuz7cwmau5Y/AMru9/eQPhbY1tkiRRVFmC\nPicFfW4Kx7P0pOSln57Bu2vdGNN7OBP6jSKye/ObnJJST/Dlqq9JSj2Bg8qBWZdfz41X3NBkvp0z\n7bPZbPzyy0pWrPgaq9XKddfdyOzZD7S7hOGFoDM/tyAEvcPozDeGyVTCrFmz6N9/IG+88W6b2n7+\n01f8tnkNT81+gkkjJjZ5XlFlCQ999DRKhZJ37n2ZQK/GF1zTy3J4bfOn5BuL8dF6MmvA5dwy6jIq\ny2vbZNff2Ow2jpSlsC0vlt0FR06JppIRvn2ZGDCYgV4RKNtQeLkxLsRnW2szsz3vMD+mbqK0rhJf\nRw+e6ncbUR4hzbbLKMtl4cYPKK2uIMo3nEfH3kGQe7fzts1YYyIh8wSxKUfYk3gAQ0190q0ePoHc\nMPpqxvcdhVLR+CKmJElsP7CDr35eRlllGSGBwfz7nicI79FwL0Fj9qWknOSNNxaTk5PN1VfP5KGH\nHr1oRapbojM/t9Dxgi7yoXdCfvhhBQkJCcye/SDBwSGtbldbV8tbX72Ls9aZx+54uMmK9JIk8fav\nn5BZnMOcK+9hYFjfRs/bmryfVzd/TEWtkVkDLmfe5AeJ9A3D1cWxTe+d1W7jWFkqazJ38cHxlWzI\n2U+GKR9/rTe3hE/jyX63MCFgMAFanyZLt7WFC/HZKuUKerp15/KgkdglO4dL9GzPP0yYawCB2qbd\nUu6OrkzqOYJiUymxucdZf2IHJ4rSUcoV+Gg9cXfVtss2tcqBIO8AhkUMYuaI6UR174UkSSRknmDv\niUNsObILpVzRaPk7mUxGaPcQLh87DWOVkZiEWDbt2YxcJiOqZ+RZ5zf23nl6ejFhwiRiYg5y8OA+\namtriY4e3CGi3pmfW+j4fOhiht7JMJvN3H77DSiVKr755qc2hY79tXsT7y3/kFuvupnbZ9za5HlH\n0o8z75tX6RfSm9fveKHRB3Ojfjcf7l6B1sGRJ8bdxYjggaePtea9M5irOFKWzMGiRA4VJ1FlrY9F\nd1VpGdNtAOP9o4lyD7koonAxPttDxYksif8Gm2Tnqf63MaZby7nG92bE8cvRjacXjhUyOUGe/vg7\n+xDo1g0/Fy88HF1xd3TFw9EVTyf3BiGiLVFUUczqfev46/A26qxmevqH8sTMBwnxbbpiVUxCLO8t\n+5CyyjLGDB7N07OfPJ0jprn3rqKinGeeeZzs7Cxeeul1hg1rORT2QtNZn9u/6egZeucLNP2Hs2/f\nboxGI7Nm3dLmOOBNe7cgk8mYNqbpKAuA1fv+BOCuyTc3Kqj64nQ+2fs9rmotb1z1NEHuLce/S5JE\nqjGXvYXHiCvRk2rIPe3z9da4McE/mmG+fejv2fO8XSodwVCf3rw85H5eiv2KN498i9luZVLA4Gbb\njAqJZlRINJnleexKiyEuN5EcQwEZpblNtnF3dMVb6053t26EenYn1DOInt49cNU0nu7B192HB6ff\nyc3jZvL1ph/YcmQnj302j1vGX8+sMVc3+ittSN/BfLzoA175+DV2x+7BVG1iwdwXmo2GAnB392De\nvEXMmTObb775mqFDW1dZSXDpEILeydi0aQMAU6Zc1qZ2BcUFHE9OZEBkf3y9mnYJ5JbmE5McT58e\nukZ3KVrtNt7a/jU2u51nJt7XopjbJTv7ChP4OX0rKYYcAJQyBb09Qon2imCwdyThroHtfvBtkp0s\nUyEnKrNIqsykoKYMmUyGDJDL5AQ4ehHmEkC4SyChLv44yC/eLd3HI4zFQx5gQewXvHfsR6otNVwV\n3HJenGCPAIIHX8Ptg6/B29uZ5KxccioLKakqo7zGSEVNJWXVlZRWV1BSVUFWeT4pJVlsTz0IgFwm\no79/JOPChzIqOBpndcP8Le5aN56c+SBjeg/jw7VfsmLbSo5nJfHiTf9GrWoYfeTq7MqrT7zMks/f\nZH/8AV779A1eenRBi9cSEhLKuHET2bFjK7GxhxgypHPFqf/TEYLeiSgrKyUuLpa+ffvSo0dwyw3O\nYPfh+vC0CcPGNXve9mN7AJg+eHKjx7ck7yPfUMSVUeMZGBjVbF9FNWW8dfR7kioykCFj5BkLm44t\nRIS0hMVuZVfhUf7KO4TBUg3U5wz10bgjQw5IWOxWEiszSazMBOrDHPu6hzLBMoAgebd2Rci0RIR7\nD14b+iALY7/ksxO/UVhbzt0RV7ba9y+TyfBwcsPDqem4brtkp8BYQlppNullOcTnJhGfV//n4z3f\nMz1yHDcNnI57I0nBhkUM4uM5S3nr14+JSY7nlR/fZv7NjYu6g8qBeQ88y6IPXyEmIZbNe7dy68yZ\nLV7DtGnT2bFjKwkJR4WgdzKEoHciduzYht1u54orrmhz272H9yGXyxnRzBZ/SZLYmbAPtdKBEZEN\nc5jb7DZWxq9DpVBy44DmbThZkcXC2C8wWWsY5dePf/WaTnetb5vtPhe7JHGgOJG1OXupMJtQy1WM\n8e1HlFswEW5BaM/Z8GO0VJNqzCPVmMvR8jQOlyVzuCwZlVxJL5dAIlyDiHALoruTzwVz9YS5BvLm\n8Id56fBX/Jaxg8LqMh7qfR0e6valEj4XuUxOgKsvAa6+jAkdzL8Gz6DAUMzO9Bg26nezNnErm07u\n4Y4hM7m698QGv35cHJ158cYneG3V+xw8eZhXV77LolufbvRLR6lU8ugdD/PQwof5YuWXXDFpIi3V\nvenVSwdAcrL+glyv4MIhBL0TsXfvLmQyGVOmTMFma307Y5UJffpJ+vTqjZtL05tg8soKyCnNZ2Tk\n0EZLxR0vSKHQVMplujF4ad2b7Ke81sjrR5ZTba3l4d43MK37hfGlGi3VfJO6keMVGajkSqb6D2Fq\nwBCcVU3nbXdROTHQsycDPXtyXY9x5FaXcKI2g305Sf8/e8+u3yzkrXHDz9ETP40HXmo3vNSu+Gjc\n8NF4IG+j/d2cvFg67GFei1/GvqJjxJXqmRE8jmtDxqNtxt720s3VhxsHTOfavlPZqN/F93F/8Pn+\nn9AXp/PkuLsa+MpVShXzbnycl394k9iUI2w7upvJAxr/9ebr5cONV9zA8l9XsDtmH8P7Nb4p6m9c\nXFzQaDRUVlY2e57g0iMEvZNgNBpJTEwgIiIST0/PNq2UHzlxBEmSGBjVfORFTHI8AEN7DWz0+J6M\nwwCMDWu6ApEkSSzc8zUltZXc0Ws6lwVdmEiHVGMuXyWvo8JsordbMLeGTcWzjTNemUxGd60P0SFh\nTPEaSqXZxElDDsmGHPJrSimoKeNYeRrHzmnnqFAT6uxPmIs/OrcehDn7t+oLysXBicVDHmBjzgF+\nTN3ET2mbWZe9l8kBQxjoFUEfj9AWNyO1FZVCyVW9JzIyOJolWz9nR+pBbHYbz0y8t8EMXKVQ8sjV\n9/Hgf57i600/MDJyKE7qxr9sRgwYzvJfV7A/7lCLgi5JEmazGbX6wl6b4PwRgt5JOHo0HrvdztCh\nw9vcNjHlBAADIpvPwXIss/68pnK1HMlLQuvgSL9uEU32kWbM42B+EgO9Irg+tOmNS21hT1ECP6bX\nFzKeETSaqQFD2zxjbgw3B2eGekcy1Dvy9GtGSzVFtRWU1RkoqauksKacdFM+iZUZJFZm8EfOPvw0\nHoz07cNw7964OWibHUMhV3BFj1FMChjM2qw9/JK+jd8yd/Jb5k6UMgVhrgF4a9zxVLvhqXbFt8wN\na40djcIBZ5UTHmoXPNWuaJWObfqV46V15+XLH2XRxg/ZnR7L8B4DmNiz4b3j6+bNjBHTWbl7DYeS\n4xjfd1Sj/fUICELrqOVkRmqjx8/EZDJit9tFGbtOiBD0TkJCwlEA+vVrOb75XPKL6xNY9fBvOvYY\nIKMwC1dH50a3+Nda6sitLKKvf68mNyQBHCurf+AnBgw+701AdklibfYeNuYdQqvUcG+vK9G59Tiv\nPlvCReWEi8qJcJezk50ZzFVkVBUQW3KSuLJkfsvazR/Z+5gaMIRpAUNbXGDVKNXMCpvENcFjSSxP\n50hZMvGlJ0kx5HKyMrtFuxwVavp4hDLAqxej/Qbg49i0y+t0G5WGJ8ffzQM/L+Tb2DWMCR2EqhE7\nh0VEs3L3GhKzTjYp6DKZrEE5uqZIS6u/B0JC2l61SnBxEYLeSUhMTECpVKLTNR9Z0hhFpUU4ahxx\n0TbtorDYrBSUF9EnWNfoTDCnsgAJiRCPwGbHOlGRAUBfj5aLZTSHzW5jRdomDpYk4atxZ07ktfhq\nWhaxi4Wrg5b+DuH09wjnJutEDpWcYGPeIdbnHmBP0TGmBw5ntG+/FhdW1QoV0d4RRHtHAFdil+xU\nmqsoqzNQXmdA6SSjuNxAja0Oo6X6VAIxA7lVxcSUnCCm5ATfpWzkyX63MtKv8R28Z+Ln4s30yHGs\nTdzKoexjjAppWNGqp38ocpmMtIKMJvuRJAmLxYKyFaKenHwSgNDQ8BbPFVxahKB3AiwWC2lpqYSG\nhrfLL6lQKLHb7c2eY7aYkZBwaiSGGcBkrg8NbGoDy9+U1RlQyOR4n4f4mm0Wvkz+k4SKdEKcuzFH\nN7PZhc9LjZNSw/huAxnu05tNeTFszT/MTxnb2FV0jNvDphLi3K3lTk4hl8nxULucioAJrN9JqG18\nfaS0tpL9RQksO/kn7x77gWDnJwjQerc4Rj//CNYmbqXQWNrocZlMhl2SmkzIBVBQUkhNXQ2hQSEt\njvf3r8m+fVtfF1Vwaei4tGmC02RmZmC1WujVq2nfdXM4aRypM9dhsTaeDhbqS8sBTc7A6iz1+Sda\nymNeaTbhpnZut7ul2lrLhydWk1CRTpRbMI9GXd+pxPxMNAoHrg4axcvR9zDaty951SW8mfAjKzO2\nUWOtu+DjeWncuLLHaOb2voEaWx3/PflHq9q5O9b/MiuvMTR63FhTn45Y20xBaX1afQhiZHjz96Dd\nbicxMYFu3fzx9m56A5ugYxAz9E5Aenq9TzI8vO1lyACCA3pwVH+MpNQT9Nc1PmvSapxQyhWUGsob\nPe6oqg9jrDY3n0XRbLfg2M6850ZLNR8mrSanupghXjruCL+szbHhVruNMrORErORcrMJq92GHTv2\nUzmJ5DIZziYNNTUWznUsyZAhk4FCpkAjV6FWqHBUOOCtdsO5mYIWLionbgubylCvSL5P38L2gnji\ny1K4LXQKfc7T9dQY4a6Bp+1tDRll9akE/Jy9Gj1+PKt+MTzUt+n1ib1x+wAY1r/5dAZpaakYjQaG\nDx/ZKtsElxYh6J2AjIw0oP2LTEP6DWbttj85dCymSUFXKpQEeHUjuyQXSZIa+NH/jjsvqWpc8P/G\nLknI2jE7rzCbeD/xFwpryxjt25dbQie3epZvtdvQG3OJr0gju7qYFrO6Ne55aBatQo2vxp0gJx+i\nXIPwdGjoeopwC+KF/rezMfcgG/IO8ZH+N0b59OXG0IkXNOXAptz6Lf+t8aEDxOQkADCoe59Gjx9K\njgNgaER0o8era6s5eDSG7t0CiQgNp6TE1ORY8fH1oa3R0c0Lv6BjEILeCcjIqM/GFxzcvtlev4h+\naB21bNm7lX/NuA2HRrZ5Q33dyqziXJKyT9K7h+6sY77OnqgUSlJLs5odSy6TYZea99efS6W5ivcS\nf6aotpzJ/oO5rsfY1tW5tFvZW5JEfEUaNbZ6l1CAxhNfjTteahe8HFxOVy6Sn5rN2pFwddNQVl51\nVl/Sqf9KElglG3V2C7U2M1XWOorrKimsrSC9qpD0qkJ2Fifgr/Ggj1swA91DUZ0h1iq5kquCRjHQ\nsxcrUv9ib3EC2VVF3B9xFV6a8yvTJkkSP6dv49eMHbg7uDDUp+WycccLUjiYdZSe3j3wd23oAqms\nNrArYT8+bt6E+4c02sdfuzdjtpiZNKLhrtNziY+PBWDgwIaLr4KO54IKuk6nkwMfA/2BOuBevV7f\ncmDrP5zMzAx8fHzRapuPeW4KjVrNFeMvZ9WGX9i6bxuXj2s8sdf4vqPYHL+TbUd3NxB0lUJFlG84\nR/P1VNYYcXNsPGJGJVdhsbWuhieAyVLDB0n1Yj4tYAgzgsa0SsxTTflsyI/FYK3BSaFmhJeOAe6h\neDq0vNnIx80FF3PbU5jW2MwkG/NIMmSTXlVIfm05B0r1jPPpSz+3sws3d9f68FTfm1iZsY09RQks\nSfieByKupqdr9zaPC/VJyJbp/+C3zJ14a9x5efD9La4tWGwWPtrzHTJkPDjylkbP+ePgX9RZzVw7\nYnqjv4hsNhu/bf4dtYMD08dd3ux4ZrOZhIRj9OgRjKdn4+4dQcdyoRdFZwIOer1+FPAc8PYF7r/L\nUVVVRWlpCd27n1/89TWTr0KlVLFizXcYqxoXswGhffB0dmd7wl5MtVUNjg8KrJ8R7s860uQ4armq\n1QuCNruNL5L/IL+mjEndolsl5ma7lfX5MazM3o3JWssoryjm9LySib79WyXm54OjwoH+7iHc1GMs\nj/a6mlFekdTYzPyZf4jvsrZTZj7bFaGSK7ktbCq3hk6m1mbms5NrKa9r+xdJeZ2RBTGf8VvmTrpr\nfVk67GGCnJvPi2O123hnx3/JqsjjssixRPo2dNcVV5by6751uDo6c9mgxjeBbdm/jaLSIqaMmtxs\n2gioz91SV1fLgAFidt5ZudCCPhrYAKDX6w8ATe8hFwCQl1efcrZ79+Y3BbWEl7sXt11zC+WGCj77\n8ctGz1HIFcwYMZ3quhr+OPhXg+PjwochQ8aW5L1NjuOscsRkqcFmbznZzC9ZO0k25DDAoyfXBY9v\nUcwNlmq+zdhGfEU6vmo37g6dwnjfvqjOI6mWXZIos5jIrCkh0ZRHTGU6+ypSOFCRyqHKdOIMmaRX\nF2Oynr0Y7KRUM963Hw+EX06EcwDZ1SUsT99MmqmgwRhj/PozK3gCVdZavk5Zh60NLqmC6lKeOfAf\njpalMsK3L28Of7jFTUW1VjOvbv6EXemx9PHryX3DZzU4R5IkPlm/jBpzLfdMvRVNI7l7zBYz3/3+\nPSqlipumN+zjXI4fr/fVi3DFzsuF9qG7AmfGTtl0Op1cr9e3zen6DyI3tz5CITCwfT/Vz+T6adey\nJ3YvW/dvY0jfQUwYPr7BOVcMmcKq3b/z6751XDl0Ki6O/7/45+vsyYCASOLzksgqz6OHR0CD9q6n\ntsIbLNXNZhdMNeayvSAef0dP7ux5WYtb+SvMVXyftZ1KSzUD3UOZ6hfdruyIkiRRXGPgqDGHYrOB\nYrMRaysFVqtQE+zoRR/nQNTy+phtV5UT1weN5mhFBhsKYlmVvZube4wj+JzMkmP9+nPSkM3hsmQO\nFicx0rfxBcozKagu5flDH1NSW8lNYVO4redlLX7p5VYW8vrWz8koyyE6sDfzJj/QaKjp5vgdHNDH\n0i+kN1MGNrwPAP7cvp7ishKumzYTb8+W4931+iQAoqJat1gruPRcaEE3AGc+5U2KuYeHE0plx1au\n8fG5uD/hW4Px1GaQyMjws+xpr22vPTOfu556iA9WfMTIIYPo3u1cUXZh9vSbeP/Xr/n14Fr+fcP9\nZx29ZfjlxP+axKa03Tx3+ewG/ffw8GVvIVg1Zny8G7dRkiTe19eHwc0dNIOgFvytZbUmfjqyk0pL\nNZcHD2JqjwFtzt5YUVfNifI89BUFlOX/vzvJU60lQOuBt8YZFwcNzioNGoUSmyRhk+yYbVaKagzk\nmMrJqSoj0ZRHak0RQ33DiPbucfpLZbJPP3r4ePPZsQ2sydvP49FX43VOPvJ7nC/n8JZkjhpTuaZP\n00nLfHxcyDeVMn/3Z5TUVvJw9HXc3qf5giaSJLH26A7e3fIN1eZarh04mX9PvbPRknVJWSl8sn4Z\nLo5aXr7rCXy9G7pSjCYTK9evQuuk5aHb78LdteV7r6AgF61WS1RUaIdWKuoMz21zdKR9F1rQ9wBX\nA6t0Ot0I4GhTJ5aXV1/godtGZ6lNmJZWX5xBo3E9bc/52KZ18GDOrQ/y5lfvsPDdJbz25CvI5Wd7\n1ib2mcCqHX+yasefTOg9lh4+///rINI9Aj9nL9Yd28kNfa7A7Zydoy7U//tEXjY+UuNCfaIyE315\nNv09wvG0uTd7LRa7ja/TN1FmNjHOpw/RTs2HzTXWPs6QycnqeleIAjm93PzoJnfDz8ENzZm5Tcz1\nfyzUzzFkyFCjIggvgpy9sGnt6KvySTDmsjv/JEeKsrjMu9/pPtxx5jK/QawviOWrY1u4K2TyWcIm\nR0mQ1pdjJelkF5SiUTScOfv4uJCZX8wT+96joLqsPmOl76hm36MCYwkf7f6WuLwkHFUanpowmwnh\nw6goq2lwbk5JHs8tX4zZYuG5Gx7FQdI22vfXPy+j0mjgruvuwFInb/HekySJ7OxsgoND2vT5XGg6\ny3PbFJeopmiTxy60D/1XoFan0+2hfkH0iQvcf5ejsLAQAD+/1m8nb4kJw8czYsAwjuqPsX7nhgbH\nVQol9132L+ySnU/XL+fMQuEKuZxr+kyizmZhXdL2Bm2DtH4AZDbiS/6b+FMJvCb7t7x4tq/0BGVm\nI4M9ejLau+UwvTMpqjPwZ3E8J6sLcFM6Msq9J9d3G8JVIQMJdvQ+W8xbgUImp7dzIDP8BtHTyQ+j\nrZY9FclnvT8DPcKIcAmkoLacvNqyBn34O3pil+xUN7Nw/EniavKqS5gZMp5ZYY1XjgKw2e2sSdjM\n3NUvEZeXxODuffjouoVMCG+8SlBuaT7PL19MuamCB6bfwbCIxt//vKI8ftvyOz6ePsyYfHWT45+L\nxWJBo+mcu3oF9VzQGbper5eAhy5kn12doqIC3NzcL+iDIpPJePj2OSQkH+frn5cztN/QBnVGh0UM\nYmivaA4lx7FfH8PIyKGnj03TjeGHuD9Zm7iN6/tdhsMZOUDCXOtdOKnGpgsdJ1Zk4KhQE+bS0Ad/\nJuVmE/tLT+CidGS8T9v8sslVhRyoTEUG9HEOpL9LEIrzzP74N2q5kuFuYVTb6sirqyCpKo/ezv+f\ntGyQRzgnjbkcKU8n0PHsXyl/hwY2Fau/Pm0/2/MPE+EWxJ29mq4KVWAs4Z0d/yWxMAVXtZaHR9/O\nhPBhTbo6sopzeXHFa5SZKrjvsn9x9bCmXThfrvwaq9XKvbPuRu3QutxBMpkMBwcHzGZzq84XdAwi\nl0sHYrFYKCjIx9+/eeFrD57untx742xq6mr47y/LGj3n3mm3IZfJWLHt57MEyFGl4fLIsRhqTexI\nO3hWGzcHZ/ycPDhZkdWoaNnsNkrqKgnS+rYosHpjLjbJzlifPm2q/2m2W4kzZKCSKZjm3Y9o1+AL\nJuZ/I5PJGOXeCzkyMmpKzjoW4uSLHBnFdQ0r9vwdtujUSGGL0tpK3j70I44KNU/1v63JRd8dqQd5\n9NdXSCxMYVTIID6+fhETezZdFWrfiRj+/dUCSo3l3DvtNmaOmN7kdcUnHWH/kYP0jejDmMHNF7I4\nFx8fX7Kzs4Sod2KEoHcgubk52Gw2QkIufD4QgCkjJxER0osdh3aRlHqiwfHu3gFM7D+WzKJsdh3f\nf9axK6ImIJfJWXt821kuB4BBfjoMliqyTYUN+qy11ycIc2zEf3wuWdXFAIRp2+ZuSq4qwCzZ6O0c\niE8bY9MrbLVkWwwNrqkxNAoVbkonKi01p3PFQL3Yy2Qyzk21YrXbSDPlE+DkjdM5uWEkSeLD46sw\nWWq4W3cV/k4No0rskp2vD/7Mm9u/wi5JPDHuLp6fdH+jxaCh3iWzYutKFv/0Djabjaevm8u1I69s\n8npsNhuf/fQlMpmMe2fd0+aFzWHDRlBTU82xY/Ftaie4dAhB70BOnqwX2YtVKEAulzP7hrsBWLdj\nfaPn3DLuWuQyOat2rz1L5HydPRkZPJC0smxOFKWd1WbwqYpGcaUnG/TXlrQAFWYTDnJls4mxGqPo\n1C7QEMe271assNUiR4aV1tmplMmxYccq/X/cvdFSg02y4yA/+1dFYmUGFruVXi4NQ1A35hwgtuQE\nw+auSyEAACAASURBVPyjuLx7wwgYi83Cm9u+YvWxTXR368b7M19gcq+RTYpuiaGU+d++zo+7fsPP\n3Ye3Zr/EhBZKx63buYHM3EymjZlKREiv1lz+WYwaVV+TdNWqH1v1hSi49AhB70Di4mKAi5sXo29E\nHzzdPIlJONxoznR/Tz9GRQ0lvTCThMyzZ/HTI+sf4I363We9PjKg3t99qDipQX/OSkc0CgeKaita\ntM1H7YbZbqXS0raIJz91/Yy1oK7xdLHNEeLgToDSGdX/tXff4VFUawCHf7ub3U3b9JAGaUCGXkMX\nKSKWiwhcLKBexN4oFkAUQVTsXizYsKFiV7h2CKA06RAgEJhAEkJ6TzbJJtvvHxtKID0hifG8z8Oj\n2c3MfDuZ/fbsmXO+o6h7yGyZ1UiuuYQOGo8qxbeO6h0jkyRd1cVANmY46pyMDKg68SanvJCP5Z9x\nc3Jm0bAZFyVpg6mCp2NWsC15Hz0CuvDqdfMJ8QyoMa7NcX/xwLsLOJR8lCHSQN64ZxmRgWG1vpaS\nshJW//glri6uzJh0a52vvTo9e/Zi8OBhHDoUy59/bmzUPoRLSyT0VmI2mzlwYB++vn6Ehtb+ZmwK\nhULBwF79KS4pJiUjpdrfub6yz/XnveurPN4nWCJQ58e2pL0YTOeGyPm6eNLVoxNHC5MoMVVNxgqF\ngkBnH3Iriqiw1t7XGuziWAovrvhUg15TqLOjZR5XkkqR+eISBnWpT1eD3W4ntjJxh7uc6x4xWIzs\nKziJSqGku8e52b0HC05ysiSdHp7hBJ/XnWK2WXjt8JeUW43c1e16Orh6VzlOhdnI0zFvcijjOENC\n+/Ls1XNw11Zf06e0ooyXf1jBK2vexmq1MmvCXTx10yNVJofVZNWazykpK2Hav27Cy6Nxi5MoFAru\nv38WWq2W999fQV5ebqP2I1w6IqG3kr17d6PX6xk5cvQln6QR4Odo7RXpL76JB9C9Y1dC/UPYI8dW\nqfGiVCgZ13U4RquZ7cn7q2wzPKA3VruNHTlxF+2vh1cYFruVuMKki547X2/PcDycXNieF09y2cX9\n8TVxd3Kmvy4Mg81ETN4Rsqu5OdkUNrud3cVJnCrPw1+to7OrY1ao3W7np4zdlFjKGeHX4+x9ggKj\nntWJMagVKqaEjTy7H7vdzvvH1hJflMzIwH5cEVy1EobRYuKZDW8Tn53IyIjoGmd9AsSnJjDrvYVs\nObKDbh27suK+F7l64Nh6XTtx8hF+37qOsJAwJl4xobGnBYDAwCDuvPNe9Ho9L7+8DKu17hIQQssR\nCb2VxMQ4+rSvvLL2GYLNwc3F0eIrNVQ/IUShUDCmz0jMVjN/xVcd1TK26zAUKNh4QX2Xy4P6AbAl\n48BF+xvo56jkuCs3vta4XJ20TOo4DCUK1qbtYG/BiXrXQempC2G4VxfMdhub8uPZU5R0UT2Wxsg1\n6YnJi+OkIRtvJzdG+3ZDpVBis9tYn3WA5LJsIt0CGe7bDXCswLQy4WcMViM3hI+p0jpfe2oz69N2\nE6kLYXavG6skX5PFzPOb3uNwpszQ0L48OvqOahfnttltfLf9JxZ88gx5+nymXT6Fl2cuJsin5i6Z\n85UaSnn90zdRKpTMnTGr1mXo6mvChEmMGDGSuLhD/PDDN03en9B8REJvBdnZWezdu4uuXaOIjGzc\nKkUNkVvg+Gpc21fty3o4JqvsP1m10uKZ+i7x2YmkF59rRXdw8aG3d2fiChNJLc2psk2Qiy9dPTpy\nrDilzhXvQ1x8mRDsOPbG7IN8mLSehJL0et10i3TtwFjf7rioNCQYsvhfzgE25ceTUJTVoAJZFruV\nlPI8/sw/xvq8I+SZSwlz9mW8Xy+0SjUGi5FvU7cTW5SEv9aT64Id48H1pjKWx3/H6bIchvv3YkSH\nc2Ppf0rZxicJv+Kr9eTJ/rdXmTVqsph5duM77E87ysCOvVgw9u5qhzAajOU8981yVm36Gm93T57/\nzyJuHTO12sRfHZvNxn8/fp3M3CymXj0FKaJxSxxeSKFQMGfOPLy8vPnqq88pKGjEiiLCJSESeivY\nsGEdNpuNCRMmtcjxTqYkolAo6Bxa82iaIO8A/D39OHwqHusFN0+v6OpYbmzTiZ1VHv9X6HAAfkv9\n66L9TQ51dD18m7K5znK7PT1Dua/ztQzw7kyhqYwf0nbwSfJGdufLFJlq7yMP0npxfYcBjPDqir9a\nR6axiF9TDrEmex9/5h8jVp/CibJsMioKyTIWk2sqIctYTKIhh8MlqWwrTOCHrH1sK0wg3ViIn1rH\nVX69GOkj4aRQEl98mo+SY0guy6azexC3hY3B1UlLpiGf/8Z/R7ohj5EBfZgeOQ6FQoHdbufHU1v5\n4PiPeGt0PD/oPjq4nOs3N1pMvPDH+8SmxzOoU28WjbsPdTVj8HOK85j/yVJ2y/vpF9mLt+59gd7h\n3Ws9Fxf68uev2XVoD3279eG2629p0LZ10el03HbbTCoqKvjss4+bdd9C44kVi1rB1q2b0Wg0XHZZ\n9VXwmlNeYT5HThylc6dIXGtZJFihUNA3ogcbD24lJSe1yqiJYeH9cdvpwsYTO5g+4NxU8SEdeuHv\n7EVM2m4mhY8ioPImJ0C4eyAjA/qwLfswbxz7noe6Tal1wQZXJy1XBQ5goHcXtuUeRS5JIzuniD9y\nDtNB60kX92C66IIIdva5qN9YqVAQ4epPhKs/RWYDGfZCjhdkkm4sJN1Y+5J6AG4qDVEugYS7+OGt\ndsNmt3OiJIO/8uLJrChEiYLR/r0Z6ithBzZnHWRtylbMdivjgwdxfacRKBQKzDYL7x9by/q03Xhp\ndCwbdB/Bbudm6BpM5Sz+9g0OpMbTP6QHC8feW20yP5GRxNKvXqWwtIhro8dx3zUz6t0qB0ff/Sc/\nfMr369fg7+PPgrsfQ1XD4uBNcdVV1/LNN1+wffsWZs9+9KKaQULLEwm9haWknCI1NYXhw0fi6lpz\ngm0Odrudj77/BJvNxrWja549eEbP0G5sPLiV+NNylYTu7KRhTJch/BK/mT2nD3N9gGM4o5NSxa1d\nr2F53Fd8dPxnnug/o8r+bgofg9VmY0fuEZbHf8cD3Sbhq619EQU/rQeTOw6jzFLBiZIM5JJ0Ugw5\n5OQfY0f+MVxVWjq7BxLmFkBHF1+81G5VEryX2pWu/gH00IRQYTVRZCmnzGqk3GrCardhw44CBW4q\nLe5OWtxVzrirtCgUCopMZWeXvDszlLK7RydG+ffCW+NOWlkuXydvIqk0EzcnZ2ZGXks/H0eXWU55\nAS8fWo1cfJpIXTBP9p9ZpWVeWK5nacxbnMw7zfDwAcwbfUe1yTw2MY5nv/kvJrOJe666jYlDrm7Q\nTXNDhYE3Pl3Btn3bCQkIYdnDzzR6VEtdVCoVvXv3YdOmDaSmniYsLPySHEeoP5HQW9i+fY6bjiNG\njKzjN5vux00/sWXPVqSIKK4cXnMRqDN6hTlu9B1OiWfC4PFVnrtaupxf4jfzvyMbmBh9LvYxQQNY\nl7qTnTlxrE/bzVUdh5x9TqlQckvkOJxVav7IiuW5Q58xrENPxgb2x8+59iTj5uRMP+9I+nlHYrJZ\nSC7N5mRpBomlmcQVpxBX7BhS6KrSEujsTZCLNx20Xnhr3PGwOiYqOas0BNYwY7XCaqLQVEpyeRap\nhlxOG3LPDoFUK1T084pkgHdnApy9SC3LYW3KVvblywAM8OnKDeFj8NS4YbPb+D11J58m/Ea51cjo\noAE82HNqlT7zxLzTPLfxHXLLCpnYZzR3DrwJVTWt2d3yfp7/7g0UKHjyprlV6uvUx5GEo7z28XKy\n83Po2aUHix5YiKeuaeuc1iUkxLHSVmZmhkjobYBI6C0sIeHMIgF1L4DQFDsP7uKDbz/Gx9OHJ+5b\nUK+v3Gf60Q8lHcVqs1VJOuE+IQwO7cOe04fZl3KUcDdHC16hUPBI72k8vPN13otfQ4R7EFFe55bT\nUygU/DtsFB3d/PkpdQebsw6yJesgfby7MMS/O110IXWunalROiF5hCB5hGC328mqKCK1PJeM8gIy\nywtIKssiqey86o/JjtIDzioNWqUardIJG3bMNitmmwVDZYv9fM5KNV3dg+nsHkh3j06oFSriipL5\nIjGGk5WFyDq5duD60Mvo4eV47XJRCiuP/4+E4lTcnFyY2+smxgZHV2lRb0/ez/KtqzBaTNw28Hoe\nHHdjteVnt8fv5uUfVuCkcmLxzY/SL7L+xcrMFjOrf/qS79etQYGCm669genX3dwsI1rqkpnZfAu0\nCE0nEnoLS0pKxN1dR2Bg0CU7Rkr6aV758L9o1BqWzFqEv8/Fq8FXR6FQ0D+yFzGxm5HTTly0kPT0\n/hPYc/owKzZ/xUvXzDvbrxvo6su8vrfy9P4PeTb2Y57sP5NuXmFV9jvUvyeDfLtxoOAEmzIPcKjw\nJIcKTwLg7+xFmFsAgS4+BLr4EODig5/Ws9qCXQqFgiAXR4v8DIPFSGZFIflGPYXmUsqoILdMj9Fq\nptRcjrly2r5aocJJqcJFpSHY2QdvjTveGh0dXXzp4OyF1W7lePFpvju1mcOFiZRVDoPs7hnGmMD+\n9PAKR6lQcKokky9PxrCzcgz+yMB+3NVtIj7ndSdVWEx8tm8tPx39Axe1lkXj7mdoWL9qu092HNvL\nS9+/hVat5enp885+U6qPU+kpvPbxchJPJxHoH8hjdzxMjy4Nu3naWFarlSNHDqNWqwkODql7A+GS\nEwm9hZWXl6PT6S7ZZKJT6Sk89frTVBgreOK+x+ka1rBhkZf1GEJM7Gb+PLz9ooTexS+MMV2G8ufJ\nXaw9spGpfc6NoR/gJ3F/jym8G7+GBXveZnrn8UyNHFulCqJKqWKQXzeifSVSyrI5WpRMckkmyaVZ\nZ7szzuehdsXf2QtfrSf+zp74aT3xc/bEV+uJh9rt7LJ2rk6OfvXO7o4iXxcuMmCz21CgqHLObXY7\nhaYSMg357MmLJ1GfwamyLMw2CwCeajdGB/ZjZIc+BLn6YrXb2Jsbz08p2zhc4PggkjzDuD3qWnr5\ndK4S99Gsk7yx7VMy9DmEeAawcOy9hPtUn/D2nTjIS9+/iVat4dlbF9C9U/2GFtrtdv638Sc+WfMp\nFouFK0dcwb03313rje/mtn79b2RmZnDttdddkpuuQsOJhN7CzGbzJbsZWqQvYv7LCyk1lHLXDXdw\n2cDhDd5Hv8je+Lh7seXoTu4YfwsuFywufPeQGziUeYzV+38kyi+cPsHnkv41nYYR4urPf+O+YvXJ\ndezKOcItXa6iv59UJbErFArC3QMJr0zANrudQqOerIpCssoLyC4vIM9YTG5FEcklmSSWZFwUp5NC\nhafGDW+NDg+1Kx4aN9ycnNEqNfiWuWM0WLDa7djsNqx2G2WWcvRmAyVmA/lGPVnlBWeTNzgKJwa7\n+tHNM5R+Pl2JcA9CqVCQUZbHlyfX80fGfrLLHQta9PHpwqTwy4n2617lQ6KwXM/Xsb/w27GtAEzq\nNY5bB16Pcw2zP4+kHGfZt8tRKpUsmTav3sncbDHzxqcr+GPXn3jpPJkzYxZD+la/6MWlkpeXy+rV\nn6DVOnPLLTPq3kBoESKhtzBfX18yMtKxWq3N3qpZv30DpYZSZky+jSnjGzfGXaVUcs3AK/hiyw/8\ntHsdN42suh8PZ3eeue5B5n77Mks3rGDpVbPpFXiucl8f3y68NfxR3j++li2ZsSw98BE+Wg9GBw1g\ndPAAwt2Dqh126Ovsia+zJz29wqs8Z7VZKTCVkFdRTJ6xmLyKYvKNxeQb9RSZSkksSaehdf+cFCoC\nXLwJcvElwMWbcPcgIt2DcHHSYrfbOVWaydpTm9mZfQS58uarVqXmypDBXBd2GREXLNxRYizjh8Mx\n/Bz/B0aLiY6eAcwZOYPuAZ2rOzwAKTlpPPP1q1htNhZPe6zeY8zLK8pZ9u6LHIiPRYqIYvFDT+Lt\n4V33hs2orKyUxYsfp7CwkHvueQCfOtaMFVqOSOgtrGtXieTkJFJSkpt1lqjdbmfd1vVoNVomjK55\nJZz6mDTsGn7as54fdvzCNQOvwMO1as3xQeG9WDj2Hp7f9B5LY97iySvup1/IuYSk07jyWJ9bmBQ2\nipj03WzNPMiaU5tZc2ozOrUr3b3C6ewRQoQuhGA3PwJdfGtc4EKlVOHv7IV/DaNirHYbpWYDxeYy\nyi1GjFYzWncn8otKUCqUqCr/uTo5o1O74qF2xc3J+ezKQna7nezyAv7KPkRcQRIH8xMoqKziqERB\nf98oRgcPZFiHXrhcsGhFTkk+vxz7k3XHt2EwV+Dj6sWdg6dyZdSIahdvPiO7KJenVr9IWYWBRyfd\nT3SXvnX/UYAyQxlPLl9MwqkTDOodzcJ75+OsbVjp4aYqKSnhmWcWkZycxHXXTWLSpKktenyhdiKh\nt7C+ffsTE/M7Gzeu5557mi+h22w2zBYLZouZ5LRT9Ipq/CgaV60rN428ng9jvuCd3z5hwb9nXdSq\nHhLWl/lj7uaVzR+yaN3rjO0ylNsHTcHH9dwwuS6eHeni2ZG7pInszY1nZ84RjhWeYk9uPHvOq/Oi\nQIG3Voe/sxd+zl6O1rrWEx+tB77Ojv96a3W4VI4XP59KocRT446n5lzFQX9/HbmaixfqNVgqyCkv\n5HDZCUfffUkGifp08s8r7uWpcWN00AAG+En0943CS1v1w8xqs3I4U+b341vZlXIQm92Ol7OOaf0n\ncG33UTUW1zpDbyhlyRcvk19SwB1XTmds3/oPX33ny/dIOHWCK4aNYc5/ZuHk1LJv3/T0NJYseYL0\n9FRGjhzFvfc+dMkLywkNo2itQvW5uSWtWiG/tVYPN5vNzJw5ndLSUj777Gs8PC4eJ9zY2OLkIyz8\n7yI83T1Y9sizhIc0viyv1WZlwapnOZaawKOTH2Bsn8uqjU/OTebt7V+QVJCKi1rLDX2v4Zpul6Or\noQQsOKoTJunTOV2aRYYhn0xDLlnlBRRU6KssJHEhrUqNl0ZX2dJ2Q6dxRavUoFE5hiYqFEqsdisa\nZxXFpQZKLeWUmAyUmMvIrSiipJq6694aHd29w+nl3ZlePpGEuQeebb2fOxc24rNPsiVpLztOHUBf\n4Rh22Nk3lIk9x3J5ZHS1k4QuZLZaeObrlzlw8giThl7D3VfdVuc2Z2zdu50XV76MFBHFqwteumQ3\nIWu69mJj9/P880spLS1h6tSbuP32u1vlRmhrvW/rqyXi8/fX1fgpKhJ6K1i79ntWrnybUaPGsmDB\nootaOU2J7X8bf2TlNx+hVCq5euR4bp04vdEzBTMLspn1/kIsViuLpz3KgM59qo3ParOxIWE7n+3/\nEX1FKU5KFQM79mJU50EM6tQbF3X9ugVsdhtFplLyKoooMOopqNCTbyym0FhCoVFPoamEImMpenNZ\nlRuadXFWafB19iSgckhkkKsv4e7BhOuC8NZWv4SdyWImLktm56mD7Eo5SFGF4/V6uXgwInwAozsP\npluHyAa1UN/9bRW/7I1hePdBLLxhzkUfHDUxm83c8cQ9lBpKWLH4TUICmn8N2jMu/NuaTCZWrfqA\ntWu/x8nJidmzH+XKK6++ZMdvaHxtjUjoraQ1LwyLxcKCBXOJjz/K7NmPcs01VWtUNyU2u93Ozthd\nrFr7GWlZ6bg4u3Dj1f9myvjJqNUNn2gSmxTHM1+9CsDCG+YwOGpAjfGVGg2sl7exJXEvSQWOKotK\nhZIIn450D4hE8o8k3CeEjp6BtfYx1+c1Gq0mSszlGG0mzFYLRpsZsKNUKPHz0VFSbESndkWndkWt\nrPtYFpuVE7mniMuUOZQpcyw7EZPVsT6ql7OOIWF9GRkZTe9AqdpZnnX5cdfvrFz/OZFBobxy+9M4\na+rf9/371nW89fk7TBk/ibtuuKPBx26I8/+2J08m8Morz3P6dAohIR2ZN+8JJKllxrjXJ762SCT0\nVtLaF0ZOTjYPPng3FRUVLFy4mOHDq+/SaCyLxcLv29bzxU9foS/VE+gXwIzJtzEy+rIGF1Haf/IQ\ny75ZjsliZsrwCTx8w0yKi2qvPX66MIMtSXs5nCFzIi8Fy3ktaielik5eQXTyCiLEM4COngGEeAYS\n7NEB1wYkuprU5/yZrRaSC9I4lp3IoczjxGUmUG4+95rCfTrSN0hiWHh/unfo3Kgkfsavezfwzm+f\n4OPuxcpHXsJF0bCFre996gGy8rL55IUP8PHyqXuDJvD315Gens8333zBN998gdVq5brrJnPHHffg\n7NyyN2Brik8k9EuQ0CVJmgxMlWX5lsqfhwKvAxYgRpblZ2rb/p+e0AEOHYrl6aefwGQy8cgjC7ji\nivHNHluZoYwvfv6aX/78FYvVQlR4V+69+W66d67/bERwVAB86fu3yCzMpmtIBLMm3E3nwPB6bWu2\nmknMTyUh9xSnCtI5VZhGSkE6xsoW8Pm8XDwI9uhQ+c+fII8OBOr86ODui4eze726OM4/fza7jQJD\nMenF2ZwuyiS1MJPE/NMkFaRitp77kAn26EDf4G70CZLoEyTh6dKwpFuTLUd28MoPb+PppuPlmUvo\n1y2qQX/btKw07nnqAYb3H8qiB55olphqk56eyNKlz5Caeho/P3/mzp3HwIENqylzKbWF921t/pYJ\nXZKkN4DxQKwsy9MrH4sFpsiynCxJ0q/Ak7IsH6xpHyKhOxw7dpTFix+ntLSUKVNuZMaMOwkJ8W32\n2DJzs/hs7eds2bsNpVLJ1KumMG3CTWg12ro3rlRuquCDdZ+zPvZPAEb2HMr0UVMI9W94HQ+b3UZe\naSFpxdmkF2eRrs8moziHDH0OOaX52Kq5Lp2dtPi5eeHn5oOXiw5PZx0aJzUqhQqVUonFaqHUVI5V\naSa7qJDskjxySvOx2KreaFUplIT7dETyj0DqEEHvwCg66Jp/LHVsYhxLvnwZrVrDizOeonNQeIOv\nuzUxa/nwu094+PY5XDmi7gJrjVVeXs6qVR/w009rUSgUTJgwidtvv+uSVwRtqLbyvq3J3zWh3wjk\nAPfKsjxNkiQPYJcsyz0qn58NaGRZfrWmfYiEfk5KSjLPPruY9PQ0wsMjWLbsOXx8Ls2Nr7iEI7z2\n8evk5OcQ3CGIWbc9SN9ufRq0j6S8k7yx5hNOZiajQMHwHoO4st8o+kf2xqkJfeNnmK0WskvyyNA7\nEnx2ST65ZQVkleRRUFaI3li/haE9nXUE6Hzp4O5LsEcHQr2DCa3s5qlreGFT2O12ft4Tw4cxq1EA\nz932xNmJQw297p55exm7Du7ms5c+xs/Hr+4NGmH//r28+eZr5ORkEx4ezqxZj9KjR/2Lg7WktvS+\nrU6bTuiSJN0JzL3g4dtlWd4vSdJoziX0jsD3siwPrdxuJhApy/JTNe1bJPSqKirK+eij9/nllx9R\nqVT8618TmTbtNry8mn8WYHlFOZ//+CU/bfoZm93G1KumcNv1t9T7pqm/v46cHD17Eg7wxZYfSMw8\nBYCnqwdj+oxgTJ/L6BwYfsnGKJssZooqSigu12OxWbHarFjtNlQKJe5aN0KD/DGW2uo9uqZ5YzOx\n4peP2HRoG15uHjw+dU6VWaANve5umzcTu93O6ldXNXusZWVlrFz5NjExv6NUKrnxxunMmnU/er2p\n7o1bSVt7316oTSf02lyQ0D2AnbIs96x8bg7gJMvyazVtb7FY7U5OoqDPhXbu3MmLL75Ieno6Li4u\nTJs2jenTp+Pl1fyLFBw9cZxFrz1LWlYGXcMjWTr3CbqG1zxdvTp2u534lBP8vvdPNuzfRmGpY5JO\niF8gY/uNYGTvQfQMi2qRUq6tyWaz8dfRfaz89QvktCR6hkXx4l0LCfBufKs6r7CAa2b+m8uih7F8\n0fPNGC0cOHCAp59+moyMDCRJYvHixUiSVPeGQltwaRN65c+xwL+BZOAX4GlZlvfWtL1oodfMy8uZ\n1au/5ssvP6ewsAC1Ws3o0VcwceJkunRpnoV+zzBUGPjw249Zty0GJ5UTMybfxuQrr691JExN585s\ntbAn4QB/xe9hT8IByk2OUSNatZYenaLoE96D6K79iAgIvaQzDFvqb2uz28guzOVg0hH+t+s30vIz\nARjX73Ie/NcdaKrp1mlIbLsP7WHpiue49frpTJ9wc7PEbLFY+PTTj/jhh29QKBTceON0pk//z9lv\nZ235fQEivspj1PjmaUqHp73y3xn3AV8AKmB9bclcqJ1arWbChEmMG3c169b9ws8//48NG9axYcM6\noqK6ccUV4xk1aiyenk1fjcbV2ZXZ/3mIof2G8Manb/HR959wID6WR2bOwderYTcK1SonRnQfzIju\ngzFZTBxIjCM2MY64U/HEJsURmxTHp398g7+HL4Oi+tMvohc9QiW83S/tqjq1sdvtlJsqKC7TU1hW\nTGl5GQZjOQajgXJTBWaL2fHPasFoNlJhNlJhMpKnz+dUdioVZscC2E5KFeP6Xc7kodcSHhBax1Hr\n50jCUQC6RTRPy7mkRM/zzy/l4MEDBAUFM2/eE5d8oRWhZYlx6G3QRfW8bTb279/LL7/8j3379mCz\n2VCpVERHD2H06CsYNmwEWm39R6vUpEhfxOufvsWew3vxcNcxZ8YshvUbWmd89dp3WTEHk46w90Qs\n+04corTi3I3NYJ8ApI5diQgIJTIgjPCAULzcPBrdij8Tn91up7SijPySQvKK88ktzienOI88fT55\n+gLy9AXklxRirEzKDaFSqujkF0x4QCidA8MZ1Xs4vrq673c05Nzd89T95Bbk8c3rX6BRN+0mblra\naZYseYKMjHSGDh3OvHlPVjuCpS2/L0DEV3kMMbHoQm35wqgttoKCfDZv3sSmTRtISnIstODu7s6Y\nMVfyr39NbPK6jna7nV82/8ZH332CyWxiyvhJzJwyo0rdjqaeO6vNyvG0ExxNkTmaKnPsdAJlxqp1\nVlw0LgR6dyDQuwPebh64Obvh5uzqqM+uUJztRDRZTFSYjJSbjJRWlKI3lGAwlZFbVEC+vhCjLdJa\nkAAAFQNJREFUpeYbfF5unvh6eOPt7oWXmweerp54uLrjpnXFReuCq9YZtUqN2skJJ5UaZ40WrVqD\ns9oZdxe3Rs12re+5S047xYNLZzO03xAWP/hkg49TZV/JiTz++CPo9XpuvHE6M2bcWWOXWlt+X4CI\nr/IYIqFfqC1fGPWNLSXlFH/+uYGYmHUUFjoWXxgwIJrrr/830dGDGzwjtMq+00+z7L0XSMtKp4/U\nm4X3zj+74HBznzub3UZmQTbJ2adJykohLT+D9LxMsgpzznZpNIRSocTD1R1fnQ++Ht746nzw8/Cl\ng5cfHTx98fPwxdfDp0nlBxqrvudu+ao32PDXJhY/+CRD+w2p8/drkpWVySOPPEhhYWG1ZSYaG19r\nEfGJhF6ttnxhNDQ2i8XC7t07+PHHNcTFHQIgPDyShx6aS8+evRsdh6HcwKsfL2fXwd34+/jz3Nyl\ndArq2GLnzm63U2zQozeUUFphoKyijAqTEbvdjr3y9o3GSYOzRouLxhlXrStebh5EdAokP79+Y9Vb\nWn3OXU5+LnctupcA3wDef+btRn8wV1SUM3v2/aSmpnDffbO4/vopzRJfaxLxXbqbokIb4eTkxIgR\nlzNixOWcPHmCtWu/448/NvDYY7O59tqJzJx5N+7u7nXv6AKuLq4sun8hX//2Lat//JL5ryzkublL\n8fev34IMTaVQKPBy88TLrWE3TZvyzaS12e123v3qfSwWCzdfe0OTXsvKle+QmprCxImT65XMhb+/\nv++VL1SrS5euzJv3BK+++iahoWH89ttP3HPPDA4frrEKQ62USiXTJ9zMQ7c+gL5Uz+OvPsnRhGPN\nHLVwRsz2Dew+tIc+Um/GDhvT6P3s3Lmd33//hcjIztx5533NGKHQlomE3k717NmbFSs+4D//uZOS\nEj2LFs1nx47tjd7ftaOu5rE7Hqa8opw5zz5OSvrpZoxWANhxYCdvrX4Hd1c35s64eJWo+jIYDLz9\n9huo1Wrmz1+ERnPpyhwIbYtI6O2YWq1m2rRbWbr0BVQqFcuWLWH9+t8avb8xQ0cze8ZDFJfoWfT6\nYrJys5ox2uZjt9sxlBvIyc8lOS2ZIwlHOSzHEZdwhKMn40k8nUihvhCbzdbaoZ61N24fL658BY1a\nwzOzlxDoH9jofX377Zfk5+dx443TmzzqSfh7EX3o/wADBkTz4ov/ZfHix3njjVfx9PRi6NDhjdrX\n+BHjUCgtLP/4HRa+toiX57+Av49/M0dcP6WGUlLST3MqPYWUjBQyc7PIzc8lrzAPQ0V5ndurVCp8\nvXyJ7BSBFBGFFBFFt0ipRRdetlgsfLvue778+WucVE48PespujWwtPH5cnNzWLv2O3x9/Zg6tXlm\nlwp/HyKh/0NIUneee+5l5s2bw8svP8fy5W8TFhbRqH1Nn3gDuflFrP7xSxa+toiX5j3f4FmljaEv\n1RN77BBHEo5y5MRRUtJTLvodnZuOjkEheLp7oXPT4ebiiquLGyqVEpvN5pgZWlFOflEBBcUFZOfl\nsOvgbnYd3A2ARq1hQI9+DO0/lCF9BuOp87hkrycpNZnlq94g8XQSvl4+PH7vfHp26dGkfX722ceY\nTCZmzLizTSxIIbQskdD/Qbp2lXjkkQW88MIzPPvsElaseB9nZ5dG7Wvav27CbDbzzW/fMe/lhSy6\nfyGRnRr3AVGbCqOR3Yf3sHn3FvYd2Y/V6qhtrtVo6NutD11COxMeEkZYSBghAcG4OLs0eOhYXmE+\nCckJHE+S2Ru3j12H9rDr0B6USiV9u/VhZPRlDO8/FA/3pid3u93OkYSj/Lrld7bt3Y7NbmP8iHHc\ndeMduLs2fCTS+RISZDZtiiEiIpKxY69scqzC348Yh94GXerYPvjgHdas+Y5rrpnA7NmPNnj786fW\nf/HzV3z589do1BoevOX+ZluEITsvm5///JX12zZQVu4YUx7ZKYKR0ZfRV+pN57DONVZwbOr5S8/O\nYEfsTv7av4OEUycAR/dMzy49GNQ7mkG9B9IpqFO9b1ra7XYycjLZc3gvG3dsJDnN8c0iPCSMO6fO\nZGCvAY2O9Qyr1crcufdz8uQJXnzxv/Tt279R+2nL7wsQ8VUeQ0wsulBbvjAudWwmk4m5c+8nOTmJ\nJUueY+jQEQ3a/sL4dh/aw6sfLaesvIxRgy9n5pQZdPBtXL/6qfQUvv3te7bu3YbNbsPbw4srR4xj\n7NDRhAbXr+hVc56/7Lxstu3/i+37d3Di1AnOvF+8dJ6EhYQRFhxKSGAIbi6uOGuc0Wg0lFeUU1hc\nREFxAenZGcjJCeQV5gGgdlIzfMAwrr38anpF9Wy2qpM//PAtH374LldcMZ7HHlvY6P205fcFiPgq\njyES+oXa8oXRErGlpCQza9a9uLq6sWLFSvz86p+Aq4svMzeLl1a+QsKpE6hUKsYMGc0NV/+bTkF1\nL09nt9s5dPwwP8SsZf+RAwBEdoxg8vhJXB59Wb0X3qgtvuZQpC9i/5ED7InbR0JyAtn5OfXaztvD\nix5detCve18mXXUVZmPzDi47fjyexx6bjU7nwbvvftSkRVHa8vsCRHyVxxAJ/UJt+cJoqdh+/HEN\n7733FpLUjeeff63e60fWFJ/VZmXzri18+/v3pGaloVAo6NutD7269qR7526EhYShdnLCbrdjtpiR\nkxI4ePwQB47GkpHjqCXes2sP/j1+MoP7DGr0LMmWOn/lFeWkZqaRkZNBhbGCCpMRo7ECF2dXvD29\n8PbwpoNvB/x9/M62xJs7tqKiIubMuY/c3ByWLXuF/v0HNml/bfl9ASK+ymOIhH6htnxhtGStlNde\ne5FNm2Lo0qUrzz77Ur1ad3XFZ7PZ2HVwN9+t+wE5OaHO/bloXRjUJ5pJ4ybSLbLptb8tllJ27NhL\nfn4eBQX5FBQUoFQqcXV1xc3NHW9vbyIiuhAREYmbm1uTj9cQzfm3LSsrZcGCR0hMPMGtt97OLbfM\naPI+2/L7AkR8lccQtVyEiykUCh5+eD5qtZp1637l0Udn8dRTzxIe3rTRKkqlkuEDhjF8wDCKS4o5\nniQTn3gMfWkJ+hI9CoXjd8KCw+jXvS9REV2bvERdbOx+tm/fQmzsfjIzM+q9XXBwCH379mfw4GEM\nGBD9t5lVWVZWypIlT5CYeIKrr/4X06f/p7VDEtoA0UJvg1o6Nrvdzueff8JXX32OQqFgzJhx3HLL\nDIKDQ9pEfLVJTk7iww/f5cCBfQC4uroRHT0QSepJQEAgPj5++Pj4OGaPGsooKysjJyebpKREkpJO\ncvJkAqWlpQC4uLgwZMgwRo4cQ3T04EuS3Jvj3KWnp7F06ZOkpp7m8svHMH/+k1Xq1bd2fJeSiE90\nuVSrLV8YrRXbnj07WbXqQ5KTk1CpVIwdeyUTJkyia9eoKqMx2sK5KynR8/HHK4mJ+R2bzUb//gOZ\nPv0/dO/ek8BAr3rHZ7VakeVj7Nixnb/+2kpWlqMv39XVjaFDhzNs2Aiiowc3erz+hZp67g4c2McL\nLyyltLSUyZOncued9zVbMm+O+C41EZ9I6NVqyxdGa8Zms9nYtm0zq1evIi0tFYCgoODK8rwjiYrq\nRkCAZ6ueO1k+zrJlS8jNzSE0NIy77rqf6OjBTb7xaLfbOXEigW3b/mTr1s3k5GQDoNVqiY4ewpAh\nw+jff2CDRgRdqLGxGQwGvvrqM9as+Q6lUsWsWQ8zfvw1jY6jueNrKSI+kdCr1ZYvjLYQm9Vq5cCB\nfWzcuI49e3ZRUVEBgK+vH2PHjmHgwGH06tWnWVuHdbHb7axb9yvvvPMmVquFW26Zwc0333pRDM1x\n/s4k9507t7Nt2xbS01PPPhcaGkafPv2IiupGVJREx46h9T4PDY3NbrezefMmPvzwPQoK8gkICGT+\n/Cfp0aNXg1/TpYivpYn4REKvVlu+MNpabEajkQMH9rJjx3Z27dpBaakjNi8vb4YMGcbQoSPo339g\nsyxUXZOioiLef/8tNm/+A53OgwULnmTgwMHV/m5znz+73U5KyikOHNhLbOx+4uIOYTSeWxpPq3Um\nPDyCyMjOREZ2ITQ0jJCQjvj4+F40cai+sRUXF7N580ZiYn4nKSkRjUbDjTdOZ+rUmy/peW5r196F\nRHwioVerLV8YbTk2i8XC6dMJ/PrrOnbs2E5RUSHgSGoDBkQzbNgIBg4cjI+PT7Mcz26388cfG1i5\n8m30ej2S1I2FC5cQEFBzedmWmGmbnJzEiRPHSUiQOXkygdOnU87WmTlDq3UmKCgIP78O+Pn54efn\nT0hIAKDBw8OjSmI2Go1kZWWQmZlBSsopYmP3Y7FYUKlUjBgxkpkz7yEwMOiSvaYz2vK1ByK+ymOI\nhH6htnxhtOXY4Fx8Z24o7tq1g507t5/tcweIiIhk4MBB9OrVlx49eqHT6Rp0jPLycnbv3sHvv//C\n4cMH0WqdmTHjTiZOnFxn90ZrnD+TyURq6mmSkk6Snp5Keno6GRnpZGVlYjA0fH3T8PBIxo+/mjFj\nxjVp5mdD/V2uvbbqb5fQJUnyBFYDOkADPCLL8i5JkoYCrwMWIEaW5Wdq249I6DVry7FBzfGlpZ1m\n166dHDiwjyNHDmE2m88+16lTKFFR3QgKCiYgIJCAgEBcXFxxcnJCpVJhMJSRmZlJVlYGiYkn2bt3\n19lujejowTz00MO1tsrrE19rMRgM5OXlkpeXC5jIyMhBr9djMpnO/o5arSYgIJCgoGCCg0Pw8vJu\ntjovDdHWzt2FRHzNP7HoYWCDLMtvSpIUBXwFDATeAybLspwsSdKvkiT1k2W5cQtZCn9LHTuGMnVq\nKFOn3oTRaCQ+/ghxcYc4duwosnyc1NSYeu8rJKQjo0aN5fLLx/ztV91xdXUlNDSM0NCwNp+QhL+3\nxiT05cCZO0JqoFySJB2gkWU5ufLx9cA4QCT0fyitVkv//gPP1haxWq1kZWWSlZVJdnYmOTnZVFQY\nsVotWK1WNBotQUHBBAUFERzckZCQjq3SQhWEv7NaE7okSXcCcy94+HZZlvdLkhQIfA7MATwB/Xm/\nUwJENmegwt+bSqUiJMSRqAVBuDQadVNUkqTeOLpaHpVleb0kSR7ATlmWe1Y+PwdwkmX5tZr2YbFY\n7U5OLTeGWRAEoZ1ovj50SZJ6AN8BN8iyHAcgy7JekiSTJEmRQDIwHni6tv0UFhoaeuhm1Zb7Mtty\nbCDia4q2HBuI+JqqhW6K1vhcY/rQn8cxuuVNSZIAimRZngzcB3wBqID1sizvbcS+BUEQhEZqcEKX\nZXlSDY/vBoY1OSJBEAShUZp3LSxBEASh1YiELgiC0E6IhC4IgtBOiIQuCILQToiELgiC0E6IhC4I\ngtBOiIQuCILQToiELgiC0E6IhC4IgtBOiIQuCILQToiELgiC0E6IhC4IgtBOiIQuCILQToiELgiC\n0E6IhC4IgtBOiIQuCILQToiELgiC0E6IhC4IgtBOiIQuCILQToiELgiC0E6IhC4IgtBOiIQuCILQ\nToiELgiC0E44NXQDSZLcgC8BL8AEzJBlOUOSpKHA64AFiJFl+ZlmjVQQBEGoVWNa6HcBe2VZHgWs\nBuZXPv4eME2W5cuAIZIk9WumGAVBEIR6aHBCl2X5DeD5yh/DgEJJknSARpbl5MrH1wPjmidEQRAE\noT5q7XKRJOlOYO4FD98uy/J+SZI2Ab2A8YAnoD/vd0qAyOYMVBAEQaidwm63N3pjSZIk4FegP7BL\nluWelY/PAZxkWX6tpm0tFqvdyUnV6GMLgiD8QylqeqIxN0UXAmmyLH8OlAEWWZZLJEkySZIUCSTj\naLU/Xdt+CgsNDT10s/L315GbW9KqMdSkLccGIr6maMuxgYivqVoiPn9/XY3PNTihAx8Bn0qSdAeg\nAmZWPn4f8EXlY+tlWd7biH0LgiAIjdTghC7Lcg5wTTWP7waGNUdQgiAIQsOJiUWCIAjthEjogiAI\n7YRI6IIgCO2ESOiCIAjthEjogiAI7YRI6IIgCO2ESOiCIAjthEjogiAI7YRI6IIgCO2ESOiCIAjt\nhEjogiAI7USTyucKgiAIbYdooQuCILQTIqELgiC0EyKhC4IgtBMioQuCILQTIqE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"text": [ "" ] } ], "prompt_number": 88 }, { "cell_type": "code", "collapsed": false, "input": [ "# We could have also passed two vectors seperately, and shade\n", "sns.kdeplot(dframe.X,dframe.Y,shade=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 89, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 89 }, { "cell_type": "code", "collapsed": false, "input": [ "# Can specify a particualr bandwidth\n", "ns.kdeplot(dframe,bw=1)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 90, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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819oLz/nFUE56yTEOlmZyuEyHyerMuRLo5c/EfiOY3H8UicGxLpV7eV0lP+38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\nMwHHH42B4QMYFj2Y4f3jGRQRh1sTeU6hbe9PraGO9PwsknOOs08+TG7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"text": [ "" ] } ], "prompt_number": 90 }, { "cell_type": "code", "collapsed": false, "input": [ "# Or just use silverman again\n", "sns.kdeplot(dframe,bw='silverman')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 92, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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NFvOKqgpeXPIyKVmpjB06hoemPYBc3vjbnZyTwtr9G9kVvx+bYKNv+57Mn3g/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\nXm21UFhZ7LgYqlKhQoWTzkBkaHCd0rQdIT0/k5e+ex2zxcxj0x8h0Kv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"text": [ "" ] } ], "prompt_number": 92 }, { "cell_type": "code", "collapsed": false, "input": [ "# We can also create a kde joint plot, simliar to the hexbin plots we saw before\n", "\n", "sns.jointplot('X','Y',dframe,kind='kde')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 94, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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XSE6+tshIjps9EYC/r6l2uJL4KLDEMcm6c4/1fek4llhl2qR8SgoyWbXpAE1t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\nUBJp1/6+RW/nVEb371iBJTI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"text": [ "" ] } ], "prompt_number": 94 }, { "cell_type": "code", "collapsed": false, "input": [ "# Next up: Combingign plot styles using distplot!" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 97 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }