{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n", "\n", "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*\n", "\n", "*No changes were made to the contents of this notebook from the original.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Geographic Data with Basemap](04.13-Geographic-Data-With-Basemap.ipynb) | [Contents](Index.ipynb) | [Further Resources](04.15-Further-Resources.ipynb) >" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualization with Seaborn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib has proven to be an incredibly useful and popular visualization tool, but even avid users will admit it often leaves much to be desired.\n", "There are several valid complaints about Matplotlib that often come up:\n", "\n", "- Prior to version 2.0, Matplotlib's defaults are not exactly the best choices. It was based off of MATLAB circa 1999, and this often shows.\n", "- Matplotlib's API is relatively low level. Doing sophisticated statistical visualization is possible, but often requires a *lot* of boilerplate code.\n", "- Matplotlib predated Pandas by more than a decade, and thus is not designed for use with Pandas ``DataFrame``s. In order to visualize data from a Pandas ``DataFrame``, you must extract each ``Series`` and often concatenate them together into the right format. It would be nicer to have a plotting library that can intelligently use the ``DataFrame`` labels in a plot.\n", "\n", "An answer to these problems is [Seaborn](http://seaborn.pydata.org/). Seaborn provides an API on top of Matplotlib that offers sane choices for plot style and color defaults, defines simple high-level functions for common statistical plot types, and integrates with the functionality provided by Pandas ``DataFrame``s.\n", "\n", "To be fair, the Matplotlib team is addressing this: it has recently added the ``plt.style`` tools discussed in [Customizing Matplotlib: Configurations and Style Sheets](04.11-Settings-and-Stylesheets.ipynb), and is starting to handle Pandas data more seamlessly.\n", "The 2.0 release of the library will include a new default stylesheet that will improve on the current status quo.\n", "But for all the reasons just discussed, Seaborn remains an extremely useful addon." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Seaborn Versus Matplotlib\n", "\n", "Here is an example of a simple random-walk plot in Matplotlib, using its classic plot formatting and colors.\n", "We start with the typical imports:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "plt.style.use('classic')\n", "%matplotlib inline\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we create some random walk data:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Create some data\n", "rng = np.random.RandomState(0)\n", "x = np.linspace(0, 10, 500)\n", "y = np.cumsum(rng.randn(500, 6), 0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And do a simple plot:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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6Wn5qwfCDgcgLIwmeJCn9g6xpbub2wkI+qK3t1IdSqyRkWgjKECWh\nZ/gnQjLpriSSH0huN8W46l3kzM3plAulcWUjsdfEkntRIGWvSW6cUXOjyPoqi5DTQ6hfWk/Fogo0\naRpCTwulZGEJ9Z9KnkiiKFL5SiXpT6cTGBeI1+Gl1TAwI7GbVzej0CjYe9le9l2/D6/bS1HRw4ii\nB5er8egdHAFvqxdHmQNNxqGZnCAIDPv3MGKvi6Ulu4XCOwuxFdiw7bfRWtfKuqB11H9cT/T86CP0\nDPpRekavHN3FdfdUZMAo/NUfudi42sm0aZIiPpxqczWVpsp2hf9iRQVXhMcyc4iOi74az/mREaRq\nNLxSW8Fz0bt5osH3MD4sTBrtL1gAZ50FZ58NV1/dS5lX0/5gSQ1NZZv7A2ottSQ5ZzH4sPTZB006\nAMuXw8i1B0gMTuw2e6ZHFHm3pga399R4IHQsNBE6PZTK1ysJPyccVaSKYe8NI/YPhwK1P6qr44a4\nOJ4tK8N12P0JmRzCdON0vxbP0WXqsOZZMW40kndlHk0rm2j4XwMgheibt5gJnxlOWauT5LDO6waj\nvhjFpL2TAMmdNP6meLx2L/YiO95WL26DGxSgSdUgCAJBQ4Ow7++aTfF4Ycg20Lzm6AFmXpcXe4md\nIa8PYdLeSTgrney+6UsqKhZhsxWwaVMaDkfvM8Gat5pRJ6h9mlt0mTrM28xUvVHFlpFbsOywMH7z\neOKui0M7XEvIlONTt/e3yIBR+IaF+3m3ZSNzZrp9Kvwfin/g3PRzCVAEYPN4WFJXx/n2RKKj4b13\npR93qlqNWxR5JSODpfX17LP6XiAzGOCLLyAqCq6/Xhrl91SviiKsWgWz24JtJyVO4saMhbS+vYEx\nw7u6WKWkSArfbodNm2DXLhgSMZT9Tb4TI+VZrfypoIBny0+NqNxOCv+MUMRWkZS/pgCg1Cg7LVQd\nsNu5MT6eIVot/60/9nD63qKKVKFQKyh+qBjTZhND3hxC4R2FmDabaF7TTOj0UJQ6JaUOB2mH1a4N\njA4kMCaQwLhANGkatEO0TCmegjpZjb3IjrPSiTrpkLlKO0yLNd/397YneOwe7EV23EZ3tzMGR6WD\n3WfvpujBIp/HO2Lbb5NK/akVKLVKRn81mtakLQA0N3+L12ulpWUtoiji8fRMfnuRndxLc0l/1rcT\nhSZVgyJIQeTcSCIvksw3wZOCGfrvoYxcPrJH1zrVGTAK32OSvFZGOw3k53c9vrt2N5MSpJHSY6Wl\nnB8eDtVBTJwIB4vtHCwUfUZoKFfHxnaZ8h/kL3+B996Dr7+GN96A0FDJP/8gJrcb51GeAAUF4HJB\nVpa0HaYJ46lznwBnKMOHd20/ZAiUlsIPP8DYsRATA9GKIT4VviiKbDOb0SuVbDR1DSo6XnS3dgLS\nQveePdJnth+HAait0NbuE6+KUDGtfBohk32P3IocDjI0Gq6OieHLpmPzoukrIVNDMK43Mjl/Mom3\nJZJ4eyKNKxppXHHIhlzmdHZbrFw7XNse8BWUFoRuhA5bng1nlbM9MyNA2Iwwmr/pWUoHj8ODIdvQ\nvt24spGNyRvZNn4bmzI2ceCerrNdURSp/lc1IVNDoO2rXvdpHdlCts9gM9teG9qRWqqq3kIURZQ6\nJcKkHShNaTQ1rQLAYPiBxsblbNs2Dq/32M1SFa9UkHBzAjFX+I5qFpQCUfOjyHghg5GfjWTkFyMR\nBAGFStFtdKqMbwaMwo9osRJ4VSIxVS0+R/gFTQUMjRwKwLL6ehampVFRIZlKDpKm0SAAmTodf05I\n4J2aGv5VVcVag6FTX88+CzfcAIMGgV4PU6bA5s2Hjl+4Zw/Rv/yC5whRll99JZlzOloOYmNBpcKn\nwg8Kkva/8ALMnCnFA6z7Yjjvf5XXJR7glcpK/lhQwJzISCqc/suF7QtRhAkT4IEHICREepB1PFZb\nK81+rroKzj8fxoyRFsTLyvwnQ+0S6cHccaTbUQl2xOh2Y/d4iA0M5PyICH4wGE6I2Wv4e8MZ/Nrg\ndm+h8Jnh1H1aR/N3zbRcrOfTujqqnU6Su6n+lPJ/KZ0WF0Onh9L8XXOXEX7UPCmF7q5zdtH8/dEV\nf6uhlaL7i9h9zm52nbuL7ZO3k391PrpMHSHTQtCP0fuMGK5+q5raD2rJeCUDe5Ed0StS9qT0T3XV\ndPVIsu61ohlvorDwNpzOcjweB/bgjQT+eB0tLdkEecdSX/wtzc1rcDhKqa//tNP5FstuxG7Wq2z5\ntqOuuWR+nIl2iBaFWtElvkHm2BkQCt9V5wKPSMofYxF3GKiq6jqKLGgqID10GK8sdlFn9mDcG9RF\n4ccFBvLLuHFolUoGBQXx5tChbDSZ+ENeHobW7kccBxW+KIoM3rSJCqcTs8dDfjcmIZAU/uzDcqcp\nFFLqhtGjfZ8zciSsXy8p+xtugJacaWz3fEDws51NQIVtH/6WhATKHb4jM1taW5m4bRsVDgd53cj5\nyy/w17/6luXVV+E//5FmHTt2SEFpaWmwffuhNlu2SLELn3wCWi28+y48/zzMnQuPPAKff961308/\nhSd66HFa9lQZoz4fdUz+xUV2O+lBQQiCQLxaTURAAMXd3CN/oopUkXRnUvt2yLQQYn4fw7C3h/G+\ns4Gr8vM5NzycQIXvn1TEzIhOrqVRl0bRuKIRZ3lnhR8YHcioVaNQJ6sxrju6T37hnwux7LQw4sMR\nxF0Xx+B/DGZa1TTG/jyWrNVZjF07FoVW0SXBnHG9kfRn0gmdGooyRIk114qzyknwlGDshV2ncNa9\nVhSZpQDs3n0e+/ffgk6bReuXUwFQFGchelqpqfkPSUl309BwqC5Fa6uBbdsmUF/v2yvNts+GdviJ\ny2FzKjMgFH7llwbylKEknKnHWe5g3FA38+ZJI0yAWRe6KGuuwFSTyn3u3YjlQdx8s0B5eWeFLwgC\n00IPjRQuj4lhyYgRnB4aymofU39RFHF5vaRNdrB5MzS73RQ5HFQ4ncyOiGCXxXckrtcLW7fC9Old\nj23fDiNG+P6cDzwgPSgmT5biDWp2jAeFZMrqmCN/n83GmqwszgwNxYs0qgXYaTazuM1M9VFdHUUO\nB/Nzcxm5dStmd9dArgcflBT7+vXSIvVBPB4pFcRDD8G//gVXXin9/dOfpLWFg+zZA1VVcPfd8Nxz\n0oNqzhzpQffJJ3DHHZKCb22FL9syJX3/Pbz2GhzLxMRtcmPabMJj8xyxbmhHiux2MoIOeexkBAVx\n4HjYmI6CQqUg44UMon8XzXqjkWtiY3khI+OYz9cO1hIYG0jdp3Vo0jqbgcJnhBN2ZhiOiiM/yNwm\nN03fNDF61Whir44l7vo4Qk8LJSAkAEEQ2h+gcdfFUfOfzgVfzNvN6MdLOX90I3UU3l5IyJQQtMO1\n7fnXRY9I09fS78a614o3sRBBUGO3F1NXt4TkQfeg9Er5451NzfDpFcSG/onk5IdoafkRu72EPXtm\nU1v7Hmp1POXlizgct9GN2+ju9NCTOX4MiByuO96uY8d8Dw2im+BxwXz+kImZD0Wwbp2kVL/fuY/r\nm+6gadEOWO3m30NG8PzLkvK8886j95+p1focBV62dy+Fdjs2pZeqvMkUGKU2KWo1Z4SGssti4Rof\n/VVUSN4+oT5moUeq55yVdcjmDxAeEkj4iA9odq/jxvxcjGIAKkEgu6WFD4cPRxAEUtRqyh0ORuv1\nfFJfzyaTievj4ljd3MzbQ4fyZGkpAOVOJyM7pOQ1GKRAtgkT4NZbJc+nG26AUaPgxRelB+X8+dJI\nfXnbYGzsWOkBcZDcXOnzTJkieTQd5IILYNkyaUYwc6YU0Pb999I1d+2SHog//wyzZnV/LwD2XLAH\ne6Gd5AeSj9mrpshuJ6ODnTwjKIiiXij86mppJvJ2HytOOjwecqxWsseOJUjZM3ty9O+iqXihgqj5\nXd0F1clqnJVdn5oemwfDDwZMm0yYNpoImxGGKvLIYfbxN8ezffx27EV2AmMDGfLPITgrnWhHSKPq\nER+PoG5xHSGnSesU9kI71n1W6j6so/yZcsauH4uz0olLW0By1AMEBWWgUAQRHX0p5itKqHv2Pyit\n8ehVicTUJBM4LpKUlIfZtm0sXq8Ng+E7hg9fQmHhHTidVajVie2yWfOtaIdpERRysZgTwYBQ+AF5\nLWx8WOTFigpunRqCfVML114bwYpP3SQlBRA+eiNjzcMItbu56/0Yfv+wHvEv8OuvMHXq0fsfpNHw\ny2GLn/usVn5uacHu9RKhUhF5ezn/yHORolYzOzKSicHB/KW4mJcqKrgzMbHTVH3fPt92+m+bmjB5\nPFwec2wpdV1eL83xccDl1DptEKBnX9uDKS5AenKkaTQU2e2M1utZ39JCUdvxErudkTodWyZMYF5u\nLmUOB0a3m88bGnhp8GByciTT0v33S4r9xhulkbdOJ9nlly+XvJRmzpTMNiAp/F27pJmVwyHNYj74\nAC68sLPcGg1cfrn0fsMGya4P8OOP0r1ZsEBKbzF9OpSUQGbnFDUA2A7YsBfZmVYz7ZgiYpuaYOdO\nKEp2MKFDNsrBvVT4334rmbQWLZIe3r2l0ukkLjCwx8oeIOGWBPTj9KjCuipsdVJXhW/8xcjOM3Yi\nBAgotAo8Vg+ZS33c3MP7ilczYccELDss7P/zfuo+qkM3Wtd+39VxalIekjyiPCYPhXcWUvF8BcpQ\nJTFXx7D3sr3EXhWL0ZZDSupDBAcfivRMvD0R1bJZxN8UT+XLlRh/MRJ5USSpqY+g1Y5ApYrE4Sgj\nNvYPNDWtorFxJYmJt7Wfb9lu6RQxLXN8GRAmHSHQy00TUyi02Yi7MY6at2sYN7iVM97dylWDmwiM\n30KGK5FtmQrmfVRPwc0F3HCD9IM9FtKDgig+TClsMBq5ODKShtNP5/ORI2md2shn3ioujozkzaFD\nOSc8nABB4IGiIlY0NiJkZ1PvclFbK5lA0tKkfr5vbm5fNHyouJgr8vK6+IZ3x3azmVEaHcqVb/P9\nFRYeNWXxHpPgnLN45RVpxDNOr2eHxUKx3U6ezYbT66XB5aLM6SRNo0GrVJKm0VDmcLDBaGRVUxP7\n90uKPCtLKvH43Xfw0kuSQv7hB2mEn5gojd4PKnuAhLYEfBUV0iheEKSFWl8zmYOMHg2nnQaXXAK3\n3w6nnw5nnim5vY4cKc0ONm3qel7zN81EXRJ1zOkP/vY3SaZN5XYiHEHt6TEyNJr2NY9jweh2s6S2\nlp9/lrZ/+eWYT/VJpdNJ4pGmdUcgMDaQqDm+g4HUSWqcFc5Oi60HU0WP+HQEUwqnMO7nccccTKSO\nVxM5O5Lo30dT9EBRt0o29MxQnBWSLX/wS4MZ/PJgku9NJvWJBByOInS6zvZKTaqGlAdTUIWrCDsn\nDMMPhxwkoqPnExZ2JnFx11L2dBnBTZdTXf1m58+0zSwr/BPIgFD45pQgLo6KosjhQDdcR/j54YS/\nmU+k28lT5HJTwSBCanUsvVZEjAzEvt+OeZeZkoUlOKuObiwepNFQcphJp8ThID0oCK1SyeSQEF60\nSWUIy1skW7hCEFiTlcVtCQksaAv93WmxsHgxtLRIivTligpm7dnDuraMbwd/+N8f5hXUHT8YDJwb\nGcakBAWEl/DWxiXs3Kpg2lSBV1+VIoCHEcImk4lr8vN5Ii2NkTod2S0tBCuV6NpGlaltCj/fZuOA\n3c4XX3tobZUWkAHOO09S2rNmSWYXXyNukBT82LHSA8FqlWz/4d0n8Ws/Z8MGycRz003SQ3jSJGmE\nf8898PLL0kLv4Vh2WAieeGw/dIsFPvpImpXkNtm598ogxo2TahCM0unI6bBo/dprUt6k7ni/poY/\n7tvH+jwnV10FS5dCZe/jhahyuUgMPHpGx54SEBKAECDgbj60NmPdY2XIG0OIuSyGwJhAQk8P7XH+\n9oSbEvDavd0ukgYEBxA6PZSUh1KIvzGewJhAUh5KwR1cjEaTjkLR/cMtZFoItnxbl2RnHquHkkdL\nqL0rEY/HQmXlK5hMkluceZsZ/QS5fsCJYkAo/MwpEWS0jcJFUSTp7iQc21t4Oxa80WrG5o9ANEDl\n1ADOqppKzB9i2H3ObsqeKqNp9dH9sJPValpFka8aD4V/FzscpHewBV95JZzzTRZBS9NYvVraF6FS\ncVFEBJEqFTfFx5NjsfDZZ/DJWgdLM/J4rbKSa2Nj+alFKkRc6XRybWwsXzYePcxcFEU+ra/n8pgY\npo2ORT9nIUttf2TjVgd//CMkJUmLoy/fHMz3BgPBSiV3JyUxQqvl6+ZmBnWQPU2jodThIN9qRQHs\nabHx5JOSwu3I5ZdLi8VHqr43aZLkjTN3ruR1dCwIgmTmWbhQmvlkZEhmo7vuklxXs7OlheKOmHce\nWjQ8HJtNav/xx5IX0c8/S2sRp1/Yij7eTfUONa2tkskpIygIk9vDyNNd7N8vLTA//bR07bZ/CwC7\nLRam7djBB7W1DNFoKR9cz6uvSovOyX1InljldJLUyxH+0dAO1XbKx2/NsaIb3bdqWtphWlIeTiFq\nXvczg6xvsroct1j2oNdndXOGhFKjJObKGKrfru6U096aZ0UVo6K1tpXQ0DMpKnqAwsI7KN3/Arah\n/0M/Rs/GjSkUFh7DgpxMnzjuCl8QhAsEQSgQBOGAIAgP+2oz8qkUQgIC0CqVfFmygftq7ufCv17J\n0tvOZv07m4g0R8JYLUNCtSgDFcQtiMPr9JL6aCrmbb6jhURRbP/SBSgUvDlkCC91GMqVtLn3HUSl\ngodnRvDZK9pOeXhmR0ayd9IkJgcHs7HOSkUFLI0qJFKlImfSJEnht43oK5xO7k5KYnlDA3cVFvJI\ncTGl3ZgbtpjNOLxepoWEEKuLRa0KIMCWzOeW+xg+pZz58yVFuXedGq6dzAdxWSgEQVL4TU2kBwXR\n2CiNwsfr9Wwymci32TgvIoIch4WsLDjcrHzppfBNW112b9u02uX10trBBHXbbZKynTnTp9hd+KCm\nhhd9RAPHtmVCiI+HuDhpAfkgHrsH+347ulG+lde110rmm2uukaqYLV/v4Mzz3fxqNDItLITYaOlr\nu22b5JkVWqenADMPPwzjxklrB6+/TvuDG+CbpiY2mUyUWVxc5Ukl6DQDxSoTVVXSw6oHha060ReT\nztHQjdK1l3F0G91Y91rRj+v7aDj92XQ0yb4DxEBKx3v4IrrVugedrht/4w4k3JJAzXs1bErZhL1E\n+u5bc62EnxtOa1MrIfppKBRBOI0tlBY/Bje8g8W+Faezgpqad3sUsCXTc46rwhcEQQn8E7gQyAT+\nIAhCF4OCOkGDuziXBzUr+b8De3jXqMI29RMyozNZW7+U9+9/n/3/iW33zggeF8y0qmlEXhyJcYMR\nt97b1FsAACAASURBVLmzS6Ioiuw6exc7z9jZvu+00FB2Wyx83tCAVxQpdjg6jZKh8wLwQR0oCAIh\nAQGM1uvZVGflosvdZBtbeGrQIIIDAji9zZunzuXC6fUyXq/noZQUHF4vhXY7z/lQhmsNBq7Nz+fO\nxEQEQWDB2AWsuepH1E0TcWb9i4LW77n4Yklh790Ls8do+eE76Qc4XKulvrWV00JC+Oc/JXt5QLUW\ni8fDUK2WuZGRlIa0MGSIr/+HFFy1w2xGs24d/8/eecdHVWb//32nZSYzk94LaYR0AqEj0gRUVsUC\nNhQbKq69rO66ay+7uq666lrW3hE7igqoofeSQEiDVFJIL1OSTGbm+f3xQEJIISAo+/35eb3yejH3\nPve5hZlzz3PO53zO7Xv34rFmDX86rD9jRAQUFg4uGQ6wpqWF1QM1MUCuGg6nezb92IR5rLnfKsnN\nm2Wu4fzzZS3ApyH7aJ5cxfLGRiZ5e5OaKvMGq1fLIrrW1b5MebCOL7+Uq4v774drr4WlSw975s3N\nBGt0tCz35607vbGmNTJ2xw6Cg+VzHqjKeCBUnmyDf1C0reHbBnym+KAx/zY8C6t1N0bjwB4+0LVq\nc1Q7qF1ci7vDTd2SOkwZJrSBWszOM4kKehznSxdDgy9exTeyc+ckzOZx6PWxWK3994k+hPLyZ9iz\n52La209g9d//JzjZHv5YYJ8QolgI4QAWA3P6Glhe8jhjLE8TpKrAL0pKTT428zk2V27GfbqWJyyV\nXB7cLaCl9dFiGmnCMMxA1i0f0NnZbXTaCtto3diKdacVt0Na7mCdDp2iMHfPHubt2UOYTkfIEbFX\ns1myTMLCupUtQXrFBSs8qdbaab60iAsDA/E+GBfxVKuJ1OsJ2bABT5X0jP40ZAj/TUjgj2Fh7DlC\nitMtBB/V1DDUYODGg1nSYFMwo6ISuWO+fBfuqtlFSorkwcfHS9bLwoXSwCV5ytjrVB8f8vIgMBDe\nf19hlp8fN4aGkiZ8sA5rpiO0/6Kx3TYbU318WFJXx2Rvb34+PPaB1P0ZrPZYrs02YIEayJzB4dXT\n9V/X9xtSqK2VTXDCwmRo5ocfwOJr53Mq+KahgWtCQrjuOlmxvH8/vPwyrLs3jCxjPfc8086lf3Rw\n1lkyb7B6tVwFuIXgx8pWUt9KZ/S2OMq36/Ful0baLQTBwVBTM7j7PRxuIdjQ2srIk9TD1phqpHVT\nK0IIWta34DvzKAmVkwib7eghHZAOUtRfo4h9OlZW875/AGeLk7Abw/AI86B9u5HON84lOHgBEy/a\nRfofH8doTMVkSsfbeyKtrRuPeo6GhqXU1X3Kpk3RJ+DO/v/CyXYXwoHDTCcVwLgjB61/xYShYyee\nAcn8seU5jD7tPOiYj59fJHeOv5O4uPnst6iY5efX4ziVTkXKZyms/XAexV/Z8W6/kKpXqgheEEzQ\nxUHYC+zyhzJN/lAyzGYMKhUK8ElKSp/c74QE+VdQ0K2pf+ONsH+/BvM3Ola6aqgaOrHHMXdERJBn\ns3FTeHiP7alGI7utVoQQXedSH6SHbMnIwPOImMvlaZfhdHeyqVLSWg4lV+fOlcZr8WKYVGXgzjER\npBiNbN0Kjz4qu2ptejgRjUrF8/8WxBh9mJWbxeoRI0juo79qSVsb47y8WD58OG4gaP16qjo6CDvM\nU723qIjM5mY2jhyJpo9gfpvLhUsI8ux22txu2lyuLmpiZUcHoTodqoP3nJws9YvmzYOxowUN3zT0\n2X4QZNXv6NGwYqVgraWZPz1p5NnINiodgi9TUojU67nsYEPNP/9Z/h+lRGq53hHKpul5PN/aymZL\nBmm+Rq5+xM5995mImtAOwzWoK42884K8njbXWIZs2kStw0FwsAc1NfRYFbndA+cwljc2IoTAV6Mh\n3vPkVIn6TPfBdbeL+i/r6ajs+M0MvsNRj8tlx8NjcMmOsOulI2PZbqHoriKiH41GY9YgnILceblo\nfDWMzRuLTi8drujoh1GrvWhvL6WpaSXQM5ZfXv40DQ3fMWLEz9jthdhse0hN/YacnPPp7GxGq/0F\nvNr/z3BKJG07E620ehYSFHwVgdoOgp3bSPT0ZG+Hi8smPMxfq+2cdYSxB2hpWY8bC4RXUv3TevIX\n5NO6sZXq16rxnuKN31l+PYSo3kpI4OPkZD5LTSVhgB/pyJHw/POwYIEUZtu/H5xOmBZl5Cw/P7yO\nyHreGBbG8/HxveYM1OnQq1RUHCw7PTxWPrwPrzApMIk7xt9B9oHsLupaS3sLt39/OwGxFbz2hoNb\nb1bI+eNQcnYr1NXJYqrKStidLf8r331H4b8xSVwTEsKndXV93l/pwXCWoiioFYVUo5G8I1Yi61pa\n2GaxsLmPWIfF6WTcjh2M2b4dt9NOoNJBZm1x177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1ira2nnTEoqJ72L59DNXVbwLQ2rqR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CAAAg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\nRWvLtWvHv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the data with Matplotlib defaults\n", "plt.plot(x, y)\n", "plt.legend('ABCDEF', ncol=2, loc='upper left');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although the result contains all the information we'd like it to convey, it does so in a way that is not all that aesthetically pleasing, and even looks a bit old-fashioned in the context of 21st-century data visualization.\n", "\n", "Now let's take a look at how it works with Seaborn.\n", "As we will see, Seaborn has many of its own high-level plotting routines, but it can also overwrite Matplotlib's default parameters and in turn get even simple Matplotlib scripts to produce vastly superior output.\n", "We can set the style by calling Seaborn's ``set()`` method.\n", "By convention, Seaborn is imported as ``sns``:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import seaborn as sns\n", "sns.set()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's rerun the same two lines as before:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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vjd19+zMKTCicWbx9W+k+/DOC7iPTdo1t7zYBUFBinVAAlMLMEvY2kYj7Mecs\nQWdKxycY7fNOctT4aHRZZBVdhJgI43VsxtP79xEBVrFwX8ZnvaUSg7UGkPD0vHta1x9i0kL/29/+\nlvvuu49IRM7M9/3vf5977rmHJ554AkmS2Lhx45R08GT8tXUj+wfqea3lLVq97TzT+FJqny8YxeOX\n+xYT4/z7lv/i8SPPANDsaaM9ufg6yyZPPeuy5bf4ux2beeroC1PSv0ZXU8Znb9RHf+j0K/Wcj0QC\nncTCgyRi49c9HYugSw5TH2h5hrB/9JmbJCUQxdikzp9IiMRjctKrSzbMmVwnFaYdSZKIhfuRJAlJ\nkohHPfgH9wBgzl2CzignldOZStEZi092qlPCkrc84/NAyzN0HfopwWQwViwsZx5V6+wgqMkqvjQ1\nk/A6tiAmJl8HYIhJC31FRQUPP/xw6nN9fT0rV64EYP369WzdOr2+6eF4OvXrOx3vp/5OiAn8oSjf\n+vU2vvGLrXzQ0Mubre/giXpTbeJSnE6/LPTlVjnvt06dTiS1qWsb4mlMmYKxILt691I/KP9Hfmf1\nvXx89nXAyFG+wviIiQiOY7+np+EXdB16CDERRpISeB1bTyk7oCQm8A/uGzZykuhr/BMRfzvu7o14\nHekC2v1NT9Jz+JdjZik8Ge7BIJIkF+840QVR4ezB17eNnoZf4ep6g459/0F3/U8JeY6hUhvQGYsx\nZs2hoObTFNZ+bkpmZSq1PmV7t+avQqU2koh5CAzKM/xosBeVxkxx3d2ULvw6BksFlvwVKd/9WDjt\nNCJJ0qTMj5MW+g0bNqDRpNdyJUlKPRSz2YzP5xvr0NMmISZwBPtG3Xfv5u9x77b7iGgHECWJx/e+\nxeutbwMwN7uWcmsp/miAdm8nWTorNl36B/m5+ben/v6P7f+PcFwO/vDHAhkml3A8zHF3y5j9+1vr\nO/zh8JO0+Tqw6izkm3KpyqoEoN3XOeZxCqMTyRh9S8TCg/j6tuPufpvB1udHtJckCf/gfvyDewm6\njzDY/jLO9pdHtHM0/hGvYwvu7rcQExEkMU7Y1yz/CF0HRrQfj8FkgevRskMqTB+RQCeOY38gHhtf\ncyRJwt0t64G//4OMfVqDnEZZEFQYbNUIqqlbWC6svQtb4cXYS6+kdNE3EdQGYiEH8cggiZgXg2UW\nKo0BtUZe11GptGQVXw5ANJi24Xt6/0734Z9N+PpT5nUzPGdGIBDAZju18Ov8/ImNfPb11POjzY8Q\nE+U0rAvXFvpdAAAgAElEQVQK5rCh+nI8IT+/2/8YoeQIT1PUQq7Jg9uQtsf+30vu5tHdf6HD14Un\n6mNp8cKM6380fz2CPsEf9j5NX2iAhw/8huvqruTnO/7Il5Z/ikuq1uAMufnRew/T6+/nZx/9LkXW\nkZ4Vh7elkx4FwzF+/sIhvvHZRbAbApJ/zHue6LM4lxn+LDqcmTEOJkOERED+UUeDHSOeW1/7Vpzt\nLzEaWn0Ws5d+jobtP83Yrlf1odWnzxMPHCV/7voJ9Xm/X36JV8/Jn9L/S+V7kWa0Z3Hg8LPEIl7i\nvt3kVV5KIhHBYBo9fsGfXJsbQqM1o9FZCAccaLSqaXzWViivTH1yZ5XjczYixOQBY17J/BHXthhq\ncLaDShokP99KIh6lfe+mSV19yoR+/vz57Nixg1WrVrFp0yZWr159Ssf195/6yD8hJtjctCcl8gBX\nlV3Bn57sp7Pfx2U3LGd77y4AtJYAbp086tfG7PzLqjtoafGjl9Ih4gW6ghHXn2uex6K8eRwcaKDV\n3cnPd/wRgKcPvsam5p00OI+l2jZ2d6I+wbMiISboDnRDQodGMhJqr2SPsw/fYAyNSkOf1znqPefn\nWyf0LM41JDFB2N+KwTKLgsLs1LOQJInB7v0IKh25FTcw0PosroEeIgHZ9UwUEyOeW3/3oRHnN1ir\nCPtaiEX9+MPpH5Qlbzn+gV30duxL2WYBfM5mHA4nKtX4ueGH6GyXA2zUWtWU/V+e79+L4Yz1LGIR\n2Szr97o5suv3RAOdFM65C715ZMZMV+eujM8G+wL05nLCgecw2JeduWetyQMa6W2VvXBi0kgtkiQT\ngqDB62ynv99HNNgzyolO8XKn09fh3Hvvvdx///089NBDVFdXs2HDhqk6dYpfHfhDhtAClBhL6exv\nAQSKVXMA+T9S1AUQEDD1L8Pdlc3v23vpGWzm4ivT07Ey68i6nBadmX9cfBfBWJA/HH6Sw0k7uyvi\nxnWCbcwT8fL8pmb0WhXXrqkE4Li7FUElEh8oINy6MNXW4QqTpbPhnmb3vg8jkiTR3/I0YW8jOlMJ\n+QVfJREP4u7eiMFSSSLmxZy7FI1BHqVFQw5CnuT3QEoQj3pS4eYgezGoNBYKaz9LPOJEUGmIR92E\nfS3oDAUIgoqsoksQxQj2kisJeY8TdB4krGkCBIxZdYQ8R4j42zHaasbtfyLmw9P7Pp5BC2aL7pQK\nhyhMDYlh7ohhbyNiQp7RD7a9THbZ1an/v3jERSTQiX9gNyqNmdxZNxIN9mArXIsgqDFYKjLy2Uw3\nxqw6fH3bEONBBJUejT53RBtBUKE1FhANdhPyNCKKk1+UPS2hLysr4+mnZUf/qqoqHnvssdM53Ulx\nhd0jRL7IVEBbTzoznMthxEoBPuSR/A3VV+OIl/BuSxc9g/IXIuBN33K5ZewalCatibsXfZbXW97i\nzbbRXZwcPievbvWAJsKVy8vQazW8dvwdABIDmS+RnsEAdn0WzZ5WEmIC9RTa/z7sJGI+wl65ClM0\n2E005JbLtw3uJZBMB2uwVKHRyaH2QVfmiH2w9XlyK29GrbUiiQkSUQ96SxVaQy5ag/wDkiQJMRHG\nZJejn7OKL0kdn1V0Mc72V0jEvFjylqeEPuxrOiWhH2h9gYi/ldKiUnzRFaO2CftaiQa7sBWum+DT\nOT8QE2FcnW9gybsQnan0lBdB3V3p2JQhkQeIRwbpb3qc3MqPY85egKPxz6nkYjml12G0zcY4LJXB\nmRR5AL25HLXGQiLuR601j3m/Gn0e0WA3/c1PYsm7EABb0cRMivAhiozdP1Cf8fmfF95NtFtDQ5sL\nFfKq8sZdPRTnXsJAqJlrL7dz5axL2BMe4N09aRtvZCCfm1dfS1xMkGccWZF+OFqVhhtrrqEvOMC+\n/oMAfGHhp/FEvDzb+DJNff2oLHr083fw3GH42ILLaPY3IQZsXFBSx/7jA9SU2DjW6aF7IIA924aE\nhDfqI9swPQmnPozEI5kup5HQIGIis6C2RpeFSq1Do89NthcoW3wvg+0vEXI30F0vL1BZ8mXPrxOr\nAAmCgK1gzajXt+QuxWRfQCLmQ6PPRpISCIJGLjBxCvWohwJeqmZ1EY2HcDTuoWD2ZxCE9LpV3/E/\nA2CyL0Cjz/y/F+NhIoEODNYqBNWH5ic5pXh6NxFw7ifg3I+gNpBdciWWvGUnPUYUYwRd9Wj0ueRV\n3YLj2B/Q6LIQEyESyYVZd+cbGG01GRkkTdkLxzrlGUMQBPKqb6Hv+ONYci8cs50pex7BpGOAf2A3\nAObsBRO+3lkTGevxR3hvb9eYAUXt3rS3yhx7DY7dCbb+rZW2Qw7mI3ChRkM8JtLW60PlL+DGOVeh\nElRcUJu5KNMzEObKiku4uvLyUx41XFq2FgGB6qxKlhUsZlmBXISgJXQU/fwdAOwY2EajuxkJkYQ7\nj6tXVvCTf7mIu66VAy763eFUdsw2xfMmg6HkUXpLJQCRkJN4JLMA9VDKV52pNPlvMSq1jrzKj2HK\nTqetGPKkMJgnlhpYpdahNeQiCCpUKi16ayWxcN+IfpyIJElIiXDqs07jJOJvJ+xrSbl+Dvf9PzE4\nRhRj9Bz9Df3NT8oFLM5TAsPqskqJMM6OVxlofR5v3zakYWty/sF9ePu2AxD2NSNJcUz2ueiMBZQu\n+jpFc7+EIKRflom4H9ewUX9+9e0ZL+CZRG8up2zx/8VWOPoABMCUVUfpwq9n3JNGN/H002fHHQM/\nfmo/f37jKLuP9o+6v8vfg1al5V+X/wtfXPQZOlpkcTD4ohgREOMiQ+PzXJsBVVLENWoVX/n4Ym66\nqIoFVTk4vRFCkfio1xiL2uwa/mvdffzT4rsAsOrkfNwJdXqqGA0Y2NV1GADRm0dpvhmLUUuO1YAA\nuHxhFucvQCWoePLIc8TFifXhXCaWHNEPmUkiwcHUtiGGptb2kssx2GaTU3E9AIKgJrsscz1IEDQj\nMgxOFFPWXAC6Dz+Mf2DPmO2CroMZn1X6SgD6mx6n5/DPScSDhH3pwLloyJExWwk495OIyus2Qffh\nVGrcs414xH1awWonIxEPIsaDGGyzya38eCoaNeg6hLvrrVSRDwBn+8u4u95ETERS6zRGmxycplLJ\n5RitBbIjSE75dYAqZf7LqbgeY1YtZxOCML4JV621ULb4XymY/RlyZ31sUrO+s0boO/tlW/uAJzxi\nX0JM0BtwUGIpYpatHJ2gIxQcGb1YkKzikzes+ALABbV53HBRFUXZctBCn2v8IJsTydJbUwnJVIIK\nuzoPKa6hVpO0yWrD7O89Agk1udoijMkc5FqNCptZx6A3zGx7FSvzVuKPBfjqe9/GHZn5ggRnA0Mj\n+iFxDnrak+KX/noOjcI8bhVvvVWNoze94KnWmMirujX12Zg1B5X69LJGGu1zUWvlGZiz869IUiIZ\nUZn5AvI6tmSUkSuougGdSV6fERMhug7+v4yRuqfnXToP/BAxEUFMRPH2vo8gaFKVieJTmJp2qhAT\nEXqOPEJ3/U8ZbH81w697Kognn6nWkIc5ewH5VbdQOOfzqf3+gV2I8TBiIv2bd7a/SshzFJXGNKL6\nkyVvOSULvoolbxnWAtmUpzeXY7JP3ORxtiCoNBislZhzJmd2OiuE3htIryb3uUeKcKe/m7iUoMwi\n/4AO7OwkERdJaOXu2/JNaDQqzHGJpWY9q2tHzxpYkC0L9Wvb2/jF8wd55KVD7Dk2+gxiPIpdHyG8\n9zJumXcN1VmzUOnDxLReEr5sltcWZbTNselx+SKIksR776bNRY2u5hNPe14SizgR1Hq0hgJUaiO+\nZOoIW9FFI9pufqsRrzvMGy/UZ5j5TPa5KdurJX/0BdGJoNaYKF34Vcw5S2TPnogrGVH5i1Toejzi\nIhbux2CtZtf+1RxsuACd0U5R3T9QNPdLJ7/ncD9h73ESMR/W/JWpVLcnzmTOBmLhfiQxiiTFCQzu\nwdH4R473t/Hg7uM0egJs6nESTkw8kjh1/uQ9a/VpM6veXEbpwm9gzKpDTITpPPg/7H/vO6n9QXc9\nYjyI0TZnhClGEISUF1Z26VWULvw6BbWfPe2X/4eZs0Lo3970GmsrZbt1z8DI6eGQt01d9mzi8QT7\ndnSg1qrZH4tzBJGrbpyPxSbnwNYEYhzb3ILHFRxxnvyk0O860sfuY/180NDHz58/iNsfGdH2ZMQT\nIg0tXvJsZkryzGQNq0yVGCjlwrrMF02OzUA8IdHS40UKZhHrkKePfcHRXzK9XR6e/t1OejrOfVdM\nSRKJR1xo9bkIgpDh+2zJu5D8mjsomvuPAMTjCbo75FlQLJqg5Vjm6Den/KMU1X1xzPzgk2GoqETv\n0UdTEZWuzjcyTAcG62z6HDqiYvmw4wqwl24YlgmRjL9j4QHiyQVCnbkMTdI7KB4+M6YbUYzR3/wX\nHI1/HLftUC6W7LJryCm/DkmM8XJrLzFR4g/Huvlb5yBbHZP7rkqSmMpBpNFnOkeoteaMoh6j5Xw5\nmX07fR7LWWOXnylm/O5FUWR50UGuqmtlZaWb7sHRhV5AYG5OLY31fUTCcTS5RhLAqgvLyM+zZBR4\nCIfiHNrTPeI8hdmjp41t6vKOun0sGjs9hCIJltTkIQgCC3Lq0EgGok2LSDiLKT0hBD7HKpuS3k8W\nTk4MyomS+kKjT9OPHnIw2B/gxcf3nfPZLhNRL0iJ1I98yFtGZypFo7VitM1Glyzg4HPLZr2iMnlh\ndv/OzEVtldqQkXlwKtAmffelYT7MiagbV+cbhJIuoaJqFpIE1qx0wQ3Zy2cV1mGzi9xZN6I1yvVT\nY+EB+d6R1x+G7n9IVCdLPObD27cdZ+ffcHW+gX9w36jtfH3bCHmOEfG3J80iUYLuo6OmxY2F5AVk\nnbEIS94y8qpuJUxmcZHjniCOUIRd/Z4JfWc93e8Q9jWhMxajN5eN2H+i+APkVNxAwew7yau6dczq\nTgqZzLgvl9eXnqouK+vng1Y7vmAUa1K4JUmiy99LgSkPnaRj+3tNaDQqQka569etrQTk0R5AUakN\ntzNIY72Dleur0A4rhJCXZcRs0GAyaFg5r5BgOM67e7to7vFwYZ38hTl6sBejWUtF9cgAhiEONMkC\nvWS23GZNyQoGW/N4flAOZ9afUHyhOE9eG9i0X375SFEjgqSiy+vgRJz9AQ7vTb+kQsEYJvP0TTn7\nXEEsRh2bD3SzYl4h2aNUB3rmvePE4xJzyu2Eo3FWLyhErZqaMcKQF8rQD9pasBajQYPGOtLlzJM0\n682qkZ+7o8tDOBSb1gAl7bBoWVvhRdiKLqbr0EMEnPsBAa2xiEBAvr71hLUhAO2wQBi1xkRBzafp\nOvRjYuH+VNStRmdDpdKiM5UQCXQQDfUlPYDGX6gL+1rxD+7BVrAWBIGB1udG2PlN9vkZZotosBtP\nz3upz7FIP/3NTyHGg+RV3YrJPjfj+Fi4H6eUxfMtcW6fHcFsrsFPptmx3R/mt0e6CMYTmDRq5mdb\nxu27JEn4Bnai1toomH3nqIuMQ+sdpuyFlNWso+3I3zBm1aVywiicGjMu9G5XV2pakW8aRCXU0DMY\nTAm9PxYgFA8x216Fo9tHOBRnyYoy3u5woVGrsJrkH4veIP9rzzFRXGFn77Z2HvvldopKbVx18wLU\nahVajYr/+uJqjHo1Wo2aUCTOe3u7aOn2IkkSzUf7eec1OTfOjXdcQEnF6L7u+48PotOqqBu232QY\nW2yqi9N5fyxGLcFwnETIRI/Qw7vtm7mkfG1q/+vPZCbT8nvDI4RekiR6Oj0Ul2WN6SIaiycIhOPY\nLSOF2xeMolGr6OoP8N+P7U5tH/RGuP3KpFnJHWLvsX4qCiz8dXs7AG/t6ki2C3PDupEFGbzBKPG4\nSI5tpOCNhiQlcCXNIUPpYNUaI0V1140aiu51ySN6m91IRXUuvZ1eOltdzJ7GSk4anY3s8mvx9r6P\nOWcJKpUWU1Zd0h1Qom+glK2b5RoG1lHuW62zY7TPS7l7qrVmNPocIv7WZDSkCpVGngGa7POIBrvp\nPfIIRtsc8mtuO2nffP27cHW+DowMIhtOxN+W4W0y2JaZ4C3gqk8VvJBnFCOFfqu0ir5wnN80dLK+\nOBvI/N6JQDA52NrU60oJfTCe4LX2ftYXZ1NozPwuJmIeJDGG3jYHlWb074zOWEDx/H9Go7Vhzcmm\nsPazY96nwtjMuNCH/L2YgZhkQisEKbH52dnQx5xkweGGXllctHErv/zLXspRUe/w4vRFyLGmq7tc\ncvUcPni/hdWXVaNWq+huc+Po9tJ6fJCGfT0svFBembcNE02jXkNJnpmWHh8N+3v4+9/SkbctjQOj\nCr3DFaTXGWRpbR5aTXrENSRulUUjI+yGm3KW1uYRjMQ54LejMvl59vjL2PQWri64WB7heDPXC/ze\nCAUnWCPq93bz/puN1C0qQqdTs2ztrBEvg1+8cIgjbS6+9w+rQJIoSHocxRMiD/7+A3RaNQuqMqfF\n7Y60uP7s2QN0D1svybbqybHqaer28uL7LRxtd3PXR+eSl5UeWf3nn3Yx4AnzyDcuQXcKJeUi/g7i\n4QGMWXMxZo2fv92bHNFnZRtT9zvg8E+r0ANY8y7EmpeeYZiyFxF0N6DRZbP9zfT9l84a+X0RBIH8\nqlsytpmy5uLt20os1Itam5WyH5tzlxIN9hLyNhINnTyvSSIexNX5t9RnnakUrbEAnbFQNmcIKuLh\nQZwdrxLyHksJvZiIEgv3o9bayC6/hoHmpwgMM+/ET3DvFONhEjEfkkoPIoQSIm90yrPwecJxGqSR\nbqwd/jC+WJxQXOSwy8/eQR8HnX6+e2FNxsBkqPj1kHlsLLSjmG8UJsaMC70QbUcCwtolaOPbKM3y\nsXFPJyvmFZBj1fPbN3dSMluF1BKhPDn2393uJgoZQmyzG7ny+nRx7499ZhkBf4Q//3wbzcf6U0I/\nRHeHG9dAkHKViq5YgvYTFj4HHH5GozVZD7SuIjNoYUlNLv944wLmzRoZzKBWqbh8WSkOZ5CPra8G\nQeCRTS30RAaIa2L4IyH8vgg9nfLiXEmFnXlLitn4SgM+rzyKfff1I/R0eLjtiyvZlxxhHz0ou7lp\ndGpWX1Kdul67w8eBJvnH+K1H5Fzr3/38SsoLLBxsGsTtl+3Nfa4uBAF+fs96vvuHnXQNBFLppoeL\n/PK6fP7PzXJQ0r//djs9g0Ea2lz85On9XLtmFlsP9fKFa+enXGP3NPazen6m59GJBJwH8PTKdQQs\nuUtPKXhtyHRjsxuIxWRbsmcSrrKiKBEIx1KzxolitNVQvuTfGOjzIUryjGjRhaVkZZvGOTJ5vH0e\n3j65XoNGl57tyW6iH8dx7A9EAp1jlpGLx3zJKEkRW8FaskquGPX5SeZyPL1/J+A8iCVvBWqtJenK\nKGGyz0NnkF+Qw9cfhjxgIoFOPD3vyV5HQFDKHHHnaGGh2EhDQhZ6EyHigp4FOVnsHfTxuyNd9IXT\n541LEl2BCGWW9HmGXFU14wi9wukzo0Lv93sw0IvLbSWsLcBqgRU1Ijva4Z09nSybk4/K5OMOqxFj\n1nE29djwh21E4/IPIN9+cjud2aLHZNHhdWf65ntcIV56PD2KsQIeX+ZIesDhz8ixP0RPcrG4JG/k\nj3p5XQEq1eiC9emr6jI+f2r5Gl75nfwjP7w7wmHeTO0rKc8iK7lw7PdGkCSJIwdkUe/r9o4Y9Sdi\nItFInEg4jjXLwJG2kdGcr25tpa7CzsubM/Po15XbMeo1lBda2H20H7c/it2iQ6MWiCckVILAxy5J\n53u57YpaXtrcgiDIi9iPviqXRfvfN46m2uw9NnBSoY+GHCnfcpXagN5aOWbb4XhcIQxGDXqDFp1e\nQqNRpUb5E+HlLS28vKWV731hJWX549uSx6KvW37pr98wh/kXnPoi8JDdGcA0Sji7WmsDJBIxPyB7\ndMUjLvzO/YS9TUSD6ZQeloJVY74kBUGFNX8l7u6N9B55BABzzuJkH4rR6LPJLt2Ab2AXOmMh0VAv\n0UAnAy3PEXTLnjBhXzMxSY0rkTZNFhh0fKIqH6kpQp3YTKEwQLXQgdleS1b5jbT4QhkiP8RRT+AE\noZcXnscb0SucPjMq9Dv37sUmwMBgDq0dHsquNFJgGqQoezZSYD87DlSgtrgwJsVz/bo9mPNW0fWG\nna6BAFevGj/M3ZZlwNHtRRTFVM78+j2Z+c1rEXC2p4OXSirsdLe7eeSHf+ejtyxCrVZRWGpDq1XT\n65RtmcU5mZ41rz51gGgkzsc+s+yURqf+3rH9jiNqIbWw53WFcA4bXbc1y6OgJSvLMJl1bHu3Gb8v\nwitP7aev28fnvrKW5p6RXkQ7j/Sx84i88Pmx9dXUlmWx47CDmy6WZwLlBbLQtzt87D8eIZ6QPSfu\n+uhcinLSL7VF1bksqs4lFhf5nyf3pDyW9h1PLwC29frYfriXlm4f16+rxHLCYmnQKUeTmnOXYi++\nbNxUwNvqe9l7tA+1O0xeoSzMgiBgtRvwukOjvpBPxstbWgHYc6z/tITel5zBZOeaJnR9QRDILrua\noOsw5pwLRuwfSvcg52eRZ6KurjfSGTuH2mltaMZJxmUtWAOoCPuOE/a1pFINDK2JWAtWYS1YBUB/\n89PEI86UyA/hFvIAgTUFWVxXkZ+6V2/ROj7i3IetYC2ebgdSoBWzRs0/1JXxUlsfvaEI2TotN1QW\n8Mv6dg67/FxekpM6PhrsAUGtCP0ZYEaFvuvYUWzl4PFaiEVFDLYFBF27+MTiA+QZ+oEmjP4IDHPl\nCgzs4Ks3fZ64KidDgMbCZjfS2+XF741gS84AHEkhXH1ZNT0dHtqOpz1/PvWPq/D7IqkR/+vPyKK0\n+tJq3DoVHzTIYqkWRV5/9iBLV1dQVGqjs1UeRbccG6C6bnyXryEf+aDZTWtuJ0uNlxIJRDje6WHn\npmZWr6rAZNHR7/ClTDQA7U2yDdWWZWTBshJ2bGrB7w3TlzQpPfvmMT5ICvp/372aJ99uJC/LwLt7\n5ZfbpUtLU55Kw81PFQWyYLy9u5PDyfQSn75qDusWjT5S1WpUfHx9Df/z5N6M7dlWPX3uEL95WU4H\n4Q1G+dINmaPWkK8ZQdCQXXb1uCLvD8X47SuH0QFLUOGPizz+5jGuWV1BVrYR10Aw5ZkkihLxhDjm\n+sCxege7t7SiBWJA+xjmuVMlkJwFmkfxVBoPa/5KrMkEbCei0SaFPppeM4kmXRwFlRZr/ipi4T7Z\n02YcBEGFrXAN1oKVdB18SM7wKKhSfvvDMVirCHlkZwSVxow1fxUB535C+pXghCKTPuOFZitci61Q\n7kPY10LQdZBYuJ8cYwF31ckvqFjEiePYL6jWXczxkJ02f5hKqxFJjBMLO9AZi07Ju0jh9JhRP/os\njTyKziuRA1xE7YUgqJIiL3PVKF4j0b4XSXT/Bm/fjnGvkRoZDzPfeN1hrFkGlq6q4KOfWEQwL20C\nstmNlJTbueyjmaaWzlYXr22XS9otKMvitacO0HZ8kPo9XRnpGI4eGj88XJIkOltdaPVqmudvRSxq\nZ7f+ebpFL0NGlyfebkQwagn4ouz/IO0vPrR2YM0yyKNamyHDTl2fFHmbSUtRjomv3bqEm9en7fez\nS0ev/FWRHCnXtziRgC/fvIjLl430ax7O3FnZfP3WJdx9/XyyrXpuXl/N6gWyn7hGLaDTqthx2IE/\nlH4+8g+8D62x8JSKegzNQoa+Bcf7/Wzc08kjL9WTkyfPqvYc7MHpDfPvv93OPQ9vxuEKZvhyR8Jx\nutpcbHylAbczRH7SY2TPsX6efLsRcZKxCv4hobdMrfvr0Ig+HpV/H5Ikkoj50BoLKVv8r9hLLie/\n+jb0llNP3CYI6rSZSBJHDSAaKkgtqPSULvwaWUUXUTL/y7i18vegyDj2C23o2JDnaMb2sLcJMe6n\nLi4PCH5zpJMnm3oY8PYQEmWX0hZfCG9Uyf00ncyo0JcU9xMXtWTnyeLg8YDGNnfUtocOz8aPHBIf\njzhJxLxJX+aTk1sgi8HuLa1yYd1YgqA/is2ethVedXkNbiS6EHnoqX3EEyJzFxeTPcwO73aHcHoj\nLMs1Y+3x43WHEQToanfj96ZfIp0tLmLRxEmDRno7Pfi9Eapr89JeagY/vbF2dMm0Du/t7eLoMBfD\nmz69NMP+b03232LTEwmnfySWpHnqq7csSW8zalOXmTVG0epsqz5lYrEYtSybM/50OuCLMCvXzOoF\nRfz4y+u4fm0lVywr48aLqvjxl9dx7Wr5BT58zSAW7gdJRGca3Ya/r3GALQe6+Z8n9vC3He3UJ2cX\nH1spi1oI+bm29/nIT3o4vf5eEw/+/gMcrhDhaIJ/+/V23j+Q9lp5++XDvPxk+ruSA9SUyGL61q4O\nGicZgRzwRzEYNWhOwcNoIgwVoYhFZHNYPDIIUuK0R7+2grUIaj1ZxZeNul9ryCOv+pMUz70740XQ\nG4wgAAXGsV9opqy5CCot/v6d+Af3pqJYh+zwxUJ68HbQ6ecnjWGeTFxHn6qC3x7p5Af7WxSxn0am\nVOhFUeSBBx7gk5/8JHfeeSdtbW0nbR+Jq1FJ87GaZQvSOw3b+OmRet5tz+KnzgA7hy3o9A9kU1q5\nOpWpDoZycIy0dUeDvYQ8ctRidV2+bHPv8ODzhFN21eHBLYuq88iqy6MbONTipCtZ5PmqmxZw8VW1\nFJbY8LvD6AD1YAi9Qcul19RRMzefoD9KV5ssFGq1QDwu8uhD7/Onn2/lg00jC4hLksSh5BpBbXL0\nO4Suqp66C52ok4LeD/QgUXhBEcVl6QVagH2tTn7xwkGy8zLXCvSixNLaPKqKM0fu/333ar543Xzy\nrHqOHuplsN9P89F+upMiJwgCq+bJ/SnLH7sQwnD+/IttPPar7RnbcmwGbryoCqtJx7xK2S2uoT0t\n9NGgHAw2vGzfEL5glJ89d4Af/GknR9rdvLi5GUezk3KTjmBy1jJkbInGRLTJkbQZgUA4UySeefd4\n6r2Dw+8AACAASURBVO/25kyXQSMCdSo1s5KzGE9gcpV7Ar4I5lFmnKeLNulfPxSRGvbJ36Phi7iT\nQaO3U7bom2QVXTxmG1NWHRp92qQnSZJsa9dr0avHlguVxoA5exGJuB9n+ysp189YSA4K1Aij/E7R\n8efu9PNr8o5MW3IinmgcV2RkQkOFkzOlQv/2228TjUZ56qmn+MY3vsEPfvCDk7ZXvxYm+sgLdDYf\nondVAX5XEZUHLiHYsASNJ5f3Q1FaY3GOtiwkFDZisRnIqbiOrOLLMWUvBimBrz9TaKKhPnqT+b0T\nsQCCIFBeJX9xH39kB01H5JGF7QSPncJh9v6hBdecPDMLl5WSk/SDL0+OcpatqWDekmJKkjbuPdvk\nF9q6K2sxW2XxiUYS7P+gA1HMHNn/9dlDHG/ox55jpKwym9vqbmaOcXFq/3FxO7NLk54WQCcSbx92\nyNHCyVG80azlsbcb2X20nzbfMI8iAUxAwSiBO4U5JtYsLGLH31t459UjPP27XbzxQj2vPLk/Nfv4\nxKU1XLOqgjs31I04/kQSibTrXyg4ulDOKrSiEgQ6+9K28KG0AXrryICrE23miZhISVyiKBinp8OD\nyaJj+JUe/N/dRJDIAobGuUPPLhRJ4A1GUy/2IXqSM4L+Tg8XVcuzlskIfTQSJxZNTMo+Px6CSo3W\nkCsPZCSJoFv2bDLaR5/tTujcE5wR+GIJgnGRopOM5ocYSi8MEHAdJOxrIRLoSG270u4hSz22E0K7\nf2Tm2hP5zZEOfnSgledbHMTE0d1PFUYypUK/e/duLr5YHi1ccMEFHDo0drQegHfQSdBo5m8FFcQs\nWrzVVuJG+YtYraklBvy1LZvjx3KoqM5BrVah1lrIKroIc/YCREng+Q4/Bxyyz3HY35ZRwGAoD3hu\nQdqzYufmVgCKy9KJyAA2rKwgJ5kYbUjoJUnix0/t462DshkgRwKNVkXNXHmxdShAJhqRv7y5+WZu\n/fwK7vrqOmr+f/beOz6u8sr/f987vTeNRhp1WW6Sbbn3mN47gQCBQAqkbQoJm2yyyaZvdpMNuwtJ\nvukhFQKEECD0XmyDsXGvkmV1adRG0/u9vz/uaIo1siVsE2d/fF4vv6yZueWZO/ee5zznfM7nzHWT\nTktF9L+Og8N0Zfnta89pQhAE3lO1hs+svrFoLLdeOp9zllbzo9s3MMtrJZ7McO9zbSSzOvqFJf/b\n+/JhB2uVFRGBxBE/mXTph8B/lGicJMm5RK5Oq+Las5rQSRQxfUohWJAX8I+U9sQ0apFyh4H+LD9f\nklLEgx1o9O6SRTBdvuJq2MLpKhFPs2CplzKbHrUqv9ooq3egQqBRo2aJw8inL2/hxvPmIMkyD77Y\nzo7sb5dAphOJEPmJd4KJEHwbhn5iJTQRGjzZ0OjdyFKSWKiPZKQPjcFzXIbNqcBgTMlDVBiPP6Hp\nzfU5aWfkDEPtvwfAVnkmAE3hJ7hBeIDrNM9yjivNR+rzk4coQHd4MlV2LJFiNLuyj6TS+LPPwNaR\nIO3TWAG8CwUn1dCHw2HM5rxRValUpNNTx93+8r6beeDm25GznnLKomVgbQUy4M5UYFQbaIwqCaQ1\nZxdX4Blss0l7r+WQ3MifumP07PgOQ22/JZQtRAGIBZXle1l5MYVu8aqaSVWvZoOGL92otC7rGgzh\n80d5aosSIw4XeA6rzmjEmF2u2xyGXDhl4fIqyr1W9AYNeoMmtwoYy4aBRnwhnn5Yoa01L/Hm9FpA\nCZu8t/ni/GC0MW48fw5GvZqPXqF4SW/s87En673Xt+aZMP5IihXnz+b6W1fQns0VRMZibH4p3+yi\nEKFAHKNZy4VXL2DDBUoYrPdIPrQhyzKP/Wkn9//yTQb7Suvld7aN8Nbm7vwYsrUFsiyz5dUj+Prz\n9E5vmYlIPM0P/rSDWKAdWU5jsJVeMXRm2VDXrGvgvbPd1Kvy3qdWp2Lpmjq+/4m1/PhzG7CZtTRU\nWrj26gXojRrsKQm1P84bL3fQUmFhnkHLpt2DPJOd2DuRWbaylo+/fwkVE799dlVytEe/p2N0SuOf\nTmV49L4dPPWQ4sTUN50aaqDJpdAuj+y5H1lOFzU/fycxmF2tTcejF0QVlc2fpHL+PzGRfFLry7CU\nFbOLGipbOadxPo1ltdSa9DTbTdSY9AzGkiQyxQ7Kbw71cefuLg4Ho/zg9baiz8bi74ZwpouTSq80\nm81EInlPUJIk1OqpT5HWly5tThtU+A4mOHPWe+keGMNs1eFw5UMrKUnigQ4fAjbyUds8tMYqMqkg\nsWA7UiaByaLjzAvsWOwu3JWV6PSlx+S06jHo1OxoHynihZ+xsgbflmxcvTlfbi8IQpY3n9fayR0r\na+i7O8Yo85gZGcpfF2eJYqvrFl5GKi7xaMdT9IT7cRmcvDGwjT8e+DO2lkpCXVUcCTg4AuzbqMRs\nl88rZ+uBIbb2+HFUmOkKxnE3laHvDXLk0Ajrzy3uppPJSIRDCTxVNhrmlOVWG/6xvGcUCsSJZo3c\n/p0DVEyEkdIZAmMxRocjPP/Y/qLjbmnbi7fByrZXe2jbO8S2jV3UzXJy8bWLcGZDG/u7/Bxq68el\noaShP9jtZ+vBYRxmLZH2UUZ8YSaukkar4sob89WzGrWKb39kFRqViE6r4j3nzeblpw6STGRynccs\nsTROyB3jM+9fQmM21OY6R8OD92wlk12JTRh1WZbp8oX47wd24nEa+Y+Prp40zr6u8VxOxmDUUO4t\nzWI6URisTait8wgF2tAI73zz6gn4ZuDRg9LlSdS70FsaiYcOo9bYEFT5fa0V78ly+5Xn52PzqxEE\ngSd7RugKx/nNoT7m2kycUelg81CAkawx/9XBfO3LeVUunu0bZfTdWP20cVIN/dKlS3nxxRe5+OKL\n2bFjB3PmHF+/ZAIqIU1GznZlqrZA23iOM966oga3W7nRe4Mxvvna/kn7x2QdBkG5KcsqW0jExxnt\n20Lvru8hCCpMZNCmPFTX/PMxx7GyuYKXt+fpjLOqbXzw6lb+NBrHYtVTWze1qmUh1KLije7fOcD+\nnQMsXZ2nwq1a11gytttaO5dHO55iKDWIzbGM371wPwAZUy+65l7iu9cix6y5xONtVy3E9+stbNk/\nlOP3X3JmE4c2dtK+fwijQVuULPzdTzYjy+D2mHG7LbhcZlRqkUgwkbu+vt68Nz4+Gs29//zj+9n4\nQj7BCRCyDWEOuBnvT/Lgr7dRKBfedXgMo17L1efMob0/SK/Pj4kuYmkD3trZiGLeW9/ZNsz37t2O\nG2iIZRgJh1GrRdJpCVEl8NmvnJNbRU2gsFLB7bawZsMsHntgJ9vf6KYtey3qNWqklISgEVm1LH/9\nTRPeadZ73HV4lPt+t43AQAhnpRUv0D+W/+6FeGtTfiVTN8uFx3PyDX1aknnq8CBPB5Ziz1Rzheo5\nrPaykuM5lUhlJLr3JNCqROZWO3PtOacDm+UGuvf/haqmCzFYrJhX346o0qI3la4xWZjJ8Oqgn65w\nnK5wnGf68rUttVYDw9EksXSG65urWV3l5Nm+USKy/I5fk39UnFRDf95557Fx40auv/56ZFnmu9/9\n7nH3aehvI5ER6dK/Rspcj9FwBqkmO+r2cQQZ5i2sYMEyL8PDITb7xnmsu7Ret1RzM/T+AgBZNwe1\nKgJsYUh28mJ6NeepNuKM+Ojv6URTUCySSUUQRDXJaB8qjY0LVlRzsGssJ1z26fcuIjge5eJrFa2X\nQlXFTCqMqDIgiJMTXNJRiaK3svo0H/nceqLxJNGjSsTdbgs2yYWAwAsdm2gbnsxY0i/cxFmq23hi\ns5LgUksS/3RlC1/79RaSKQmdRkW1U4/Pme2k9dAulqyuRW/QkEyk6cyuUgRByH0Pq13PyFCYoaEg\ngiDQtj8vnTw0EKK/f5xELMWWAumEoN1H/Zk6vBoLbU+NYQq5KJViO7h/kJoGJ1+7ZTndndvAn+HV\nDhfWQ8NUupQVT+dgkP/8o9KTtR4ROVuRe9kNrRiMGhLxNJFYkkjs+HH0ylob29+AiTC8mJIQgaUr\naop+N1mWUakE/KNRBBSO/nhWzmC0P0gVIiNIk/bZ/GIHe7YpToDNYWDx6tqSKpsnil1jIR45rNRj\nDOKmXy7HldSeknMdC/cfHmQ0lsRr1DE6MtPiMhFb9TWE4xCOhwBlQgxFS38HjyDQYDFwJDQ5Tr/K\nZWVOowmHy0QyGCc6HsOgEhkIxd7xa3K6YKYT3Ek19KIo8q1vfWva22tFgaWBXiyvbCKiF3nsJjtz\nnRZ2joXg7CqqDgVYtq4OURRJS3LOyBtUIlfVe7j3cJ4r/UhfnA/XfYBYIsCfuuM0260saf0yv9rW\nTgo1+8VW1smvEB7ZiqP6AqVfp+81gr7XcsdQae14mz/Ndz+6mowkITDZg5GlDAHfqwiCisDAS6i0\nVirm3IpKoxiuRJY+qCtBhfPW2tHqpr7kBrWeKnMlveF+9o0eLLnNshYbT2zuoa7CQlpKcyCykzUL\n3bz8lo/WJhcqUaSq1s62jV0c2DXIgV2DqDUiSwrkIlqW5sdmdxrxj0SJRpKYzDp6Ov2oNSKzmz3s\n3znAg7/emivICltHiFhGmdfi5bp5l5HIJOmveByyz9qcBR7cHgtmq46nH97LiC9MTVYh06oLEQSO\njJvY1+nPGfqXtveRTElc1lLB4N6h3Jg8XuuMZAUAquscqDUi6ZSETq8mmUhTVedg2drijlOCIGC2\n6hkbiXCGzUgky8wJIhMDPAhUIpDJSKiylMLBviA7tygT7IVXL6BhGnUGbxcTxm51uY3XhwI8J61l\nrvDO6q/LssyBcSXcuMZTWq77ZEIjitw6t4otwwEe6co7c06dhvl2E3q1CptOwzDZ5jNGHZ2hGP5E\nCofu1PUj+L8C1Te+8Y1v/L1OfkGjB0lUEXttE9q0jNQ6n8ta1rJrLEQ8I6GqNFNhM/C7tn6MahX7\nxiPUmPR8qqUWr0mHS6+h2qRnPJFmPJkmIhjpS1nY4w+zfzyCIIi0Z6sXvXYvdVIbiUgPRts84sE2\nxvufLxqPnImjtzSg1toRBQFBEEgn/MhyJte4IRY4hL/3CRLhzuw+CUJDm5V2cFob/XvvIjL6FtaK\nDWzdOOGVy1xz81yWrGma0niZTDqi0ST11ho6Al2EUooHtd67inprLZFknGgmyvqaZZzbOpszF3t5\npvd5Hu14klqvnkXuZq58TyNajQqr3YAgQH+3EkuWJDn39w0fXYm9gEoaHI/R1zXOzi29WO169u8c\noKbBweJVtezbMVBUjDVQu49FS2t5X8vlSl9OUUVLbWOucrf1Micts+tRqUV2b+3jUKgNZ4OGMoOL\n0NhO0jEfb2gHOLDHTpPXic2k5Z4nD2DRqND0K9+3ca6b6z+8kszboM6JokBn+wiRUBKHy8g1tyyj\nZakXsQT/29cfZMQXJpXIf7+9yARRCqpsCAzHk3i9Ng7sGODZRxRJh/OvbJ6WxMWJ4OneEZKSxK1z\nqwn6XqNb9mLXaai1nVqDeyQUozscp8KoYyyR4lXfOIucZs6vfme0aARBoNKgQ0amM0u1/MqSRjTZ\n32/iGQEl1btvPIJKEJhtm55q6P8lmEwzo/X+XStj1aKIq6mFZ1Yry5Bl/WoMahWfbqmlxWFmPJnm\nD+0DjCZSPNKleHvv0cv4f/srMuEwi11Wzqh08qE5iq5GRzDGHr/iXqoFgef782yS4XgKe9X5yFKK\n0Z7HssqACqoWfF5pjyZr6RobQJJSpBPjSJkE/ft+iO/QPbltJwpAjsbIkQeJB/NddwYP/IzlSxXd\nkLPPSxLz/ZKxnr8hpY+ttlhjqeIrqz6fe31l0yVcN/cq1lcrzIVAIkhXci/f2/4Dnul6EYBD44e4\nYn1DkXhYy5K81z6RfG5dWVNk5KGYNfLC35TxVtU5cFdYWHNWI8vX5b3hsG2EJntj0WRlNOtovdBF\nz6ztbM9SWy02PbI+hXbcyg+3/4KUlGYsrEwGETFJUH+YO+/fTt9IhEgsxayChP2GC2aX7NQ0XVRm\nk8cqlYjJoptyYi0/qqAsiky1x4IEtGVjP/ve6ufPz7Wx8fl8bqKm4dRqo6cliaFsuEQtCly16jxA\n5hlfmlcG/NNq0/fH9n5+fbC4zWI8nWH3WGjK/Q8FIvziQC/3dwwyHEvyaNarrja9/d/i7UAlCpxf\nXcYVdW4ur3NPmRdY6DRj06jZ7BsnkHw3KXs8/N316AEuuuSfyOy+m/TzL5PccB4GTwULnWb2+vPG\nOJUtPJIfvJdg2wFEvZ7y938AAKdeQ51ZT1fWC7ig2oVJreKRrmHOrHSw1x9mOJ7EYG9Gb91FPNjG\n7pAGm1DGwtmXsj8kU6+18py0ll6fizr/PhrSu+hQNbNStlOW9DPccT/msmUEBl8GwO49B7W+jHRi\njPG+Z5GlJP6+vNRwKj6Exw0ti9dhs2wnGYHI6HYio9upnP+J4/a6/PTi2/DHxzFkO+9Ytcpk+LPd\nv520bTAZJi2lURe0YjMYtVzyvkUYTVr0Rg3JeDrHBCqEo8yIu8LC8GA+1lleqZxrcTbcU13v4MnO\n55FTElXmySJnKxbO496xPzAQUcaakTOErMNYh7zoo1YOjB1ClQqRkGWSgN0bZGQww9YDQ9QiIGdX\nXdfftrKo9+/bwfL19SSTGVpXHFunp7peYeA0zXdTXe/EU23Datfz0f96iTggmDSYIyl83X6s2e3m\nt3qPGXo7GRhNpBR6sV65Dh6Hh9XlYV4fCvBU7wixTIYzK51FVaqbfOPE0hnO8jpJSzJ7/UrIJZhM\nY9WqkWSZu/Z2E0imuXm2l3n24vtgOJbkt4fy7St/dqCXaDqDS6eh1fX3SXauKj/26kUjiqyvsPN4\nzwgdwRhLyt4N3xwLf/fm4ACzKudRcePNyOk0o488DJQWUFIBmnYldh3atrXIOynT5w3EAoeZ5W4b\nX186i3OqXNSa9SQlmf3jEayetURlPS9Kq/lr5jz2xy3ce3iQ7+6P0CsrRqwraeQlaTXdKSt7JIU5\nFAscZPjwvblzWMrXYrTNxVq+hvImZcJJJ/JMgQmsWKMnFR+gsPVaMnp84bN5ztms8eYbS9t0xR7o\n6orlub9TUoo7XvkavshQ0Ta1jU7KPGZMZi0j6gEyJeQiBEHgmg8uK6KvTkgBT6Cyxs6grhutqMFt\nmMw60qg0OPUOhqIjdAa7+exL/0rAoqx8zIEyfrrzN6jTScIZAZPGiKBV6Jxv7h2kPHtdlq2tw+48\n8Ti0VqfmzIvmTpKGOBpOt4nrb1vJ2ZfOZ35rJU6XEbVK5Nzl1axpqWDVyhoArCHFW2xe7M1NDqcS\no1k6YVkBXffSWjdLyxSD+/KAn+cKGCmRVIa/dQ/zfP8YP9zbzZ4C56gjpFznzlCMQFZHppTMwFsj\nQWQUB0lEaf8nCnDrvCosmtPCFyyJquxqY6Ko611MjdPC0ANYlq9EW1VNaNtWMtEoroIb3ZRt2adK\nJREBQaslEwiQ9udDM7XZhgYtDhOurNFXZzVj1nqUB/TN4QB6cx0h+xm5/f7cWdxIuV7oKXrdSxVH\nr3atnnVFIQGdKZ/o1Bg8aPR5rn1oZCtyJoHRsRB3o9IDdEKVcCaY8OgnsK5qFf+26g5umqe0qUtL\naV7s3Vhy3wNjbdy1/efce/Ahfr7rtxwJdE/axp419HanAY22+OFOS2kGI0N4zZWIJVQPAcqNZQST\nIf5r648ACFsVY1TRO4+armb0KsiErLgNZUSlECATzSZB5y+rYuWGhhknX08UDpcxl2ydwPvPncNt\nlzVTU18coukNHr88/2RgwtC79IVVowKX1+bvqYOBfE1GoWH3xZL8+Ug+tNgWUIx6RwGTpbMEq2V/\nIIJGFFjrsecSmxUGHTbt6e0lTxRxvT4UIJ6eWlrhXZxGhl4QRSzLlkMmQ/e3v46QSlFj0mNSq1jj\nUeKuSY0WY8sCnBdfCkCiN2+Ul7qsfHx+NTfMmhxaKDdocWjV9EWUbk1DTN396CzxDc4WN9OoDTHX\nZiQs6wkx4R0KOGsuwe4956ixq3BUXQCA0d5M+eybcdZcgiDqiGe1XfSWBlTZ6sZMKkgmFZmRwbfr\n8pWRFSYPdZZqKkweFpcvzL0fmyL+3x1S4rWvD2xl58hefrDtR8TSxYZr2do6Fi6r4tLrWiftPxDx\nkZEzJcM2E9Crildg3z/nq7grlJVBTUxZBcTCJsoMTiQkrPZM7qrWTNGE/e+JMo+ZppXVjCDjQ2bz\ngaHj73QSMNGZyXUUk0SrErmpSbn+I/EUXSGl4cqEbMDtC+o4o8KR21enEjkwHiEjy3SEYgiAW69h\nIJogXZDoTmYkhrM5AY0oMiGQalKf/hrxerUKo1pFSpJ5tm/yavpd5HHaGHoA8zIlHJEaHia89U1u\nm1fNF1vrWV1uxy2lWPvy45gWLkJXrSyrEz15Q68SBWrNhimTN16Tjkg6QzCVpieufO1KbRoBWOlW\njKgLPzohxRyxkw80lVNvUUIJo7IdEKhe9AVMrqUlj28pX4W3+TNYPWtRqY2Yy5ZhduW7BxmsTbmG\nEunkOH177qR/793TSq4BGDUGbl/yMb6z9l/5t1V3oMpy9w1qPV9b/QUABiOljdFgdPL7Lx/l/bsr\nLKw/r3QidP+o0tlotr1x0mcTOLu2WBFRr9Zz/pUtnHFpE7ULFA90PGBB3+um9tAy1rjMzM02Oykv\n0VD9dMB5Zzfx5S+cQcCsoW847zlvOzjM1gNDkwTrjgdZlomkMozGk4RTk6VBZFmmLRDBqBZxl5Ac\naHaYaXVmczUHevlL5xBDsSQqAVx6DedXu7hltpePz69hictCLCOxdTjAQCRBmV5Lg8WABAwVSAcM\nRBPI5MMgzuwE4/wHoSxeXqvkuganUWfx/2ecVgE4XVU1lZ/4FAM/+RHh7W9hXbsOEBAjIa7f+TKh\nAzswXHMlKotys8c7Suu5lILXqGevP8L3dnYCUGvS8/HmmtznZ3ud+PY8BED57A+iM1XjSSkGyi+4\nWNG4HlF1bAaCWlfsmdoqz0KSkoiiDpXGlDPq8eAEi0NGysRQqadHD5vtmFXyfY/RTY3Zy2B0CEmW\nJoVXBiM+1KIau9aKU++gO9TLG4PbuLD+nJLHm4Asy7zct4knOp9FQGC+a+pK50ZbPd97z9f53pt3\ncUFFK/FwNxZbNc32aka7DETGYHzcQrhPgxUPY+NJBCGJTq/GbD35CpAnC2qVSFWZwv2PJdJEYil+\n/PBuDFUmdifjfGjR9Jp/yLLMQ0d8vDWqJL3dei2fW1jM7++PJgimMixxWVBN4bCc5XVi0ahoD0bZ\nNqJUMZfrtbnt52YTrRsqHOwYDeU46RUGbU7GwBdN4M3+3RdV4ttV2ddX1Xt4cWCM86umVwH+98Yi\nl4UnekbelS4+Dk4rjx7Asmw5mooKwtu3Ed6+jbEnn+Dw5z5NaIvSTUrj8aBxudBWVBLdvw8pNb2Z\nvMVhLmqcUGsuNtpWrZq6ebdgrzofnUmZADzZ7eO2VRinEOI6FkSVFlftZTiqzweUxKdGX6xBn05M\nbuT9dlBrrSYlpWnz5ymeG/veYMfwHgYjQ5Qbyvjqqjv41OJbqbXWMBQdmRS+ORqdwR4ePPQIKSnN\n0vJFmDXHTnCa1EY+WzmX2sA2htp+k2MhJaMDgIZI1IgoCqhqJ9RBlRDJOx2bnym82cRu/2iEnqxn\nb5vnpC2RIJmZHt8/lMrkjDzAcFwp6Y+l801q+rNGt8EydVK63KDl4lo3t82rxqhWHt9MiVWhXadh\nkTOfVPcYdXiyBIeBaD552ZFNztZlz2nVqrmirhzDP0DoZgIOnZpAMk0mu8LqCEa5e0/X3834B5Np\nfrCrk82+t9fQ5lTgtDP0AObFSnik/8c/ZOShB4o+UxmUG9LU2oqcTBLdt29axyw3aLl9QR1fXFTP\nCreVdRWTGRRaYyXW8tU5w2PTqtGpRPoiU2f1ZVlm52iI2DSTQa76KymffQuO6osApVvWycDKimUA\n3L3j5zzT+SLRVJR7Dz7EL3b/jqSUYlFZMxqVBpWootai1B3sGNp9zGP6E8qN6jGWc3PzdccdQzox\nSnR8L6psiCrq36u0DkyMoDW6uf62VVx981LqF+RXPv1iF5J86nXFtw5uZ6tvx4z38ydSBB0aNFYt\nfcMR+oYjiLq8ETwcirJnLFQU9y6FQuM6gRf7x/j29g7+e3cXW4cDvDSg3Atu/TS039Uqrm9UYvar\nyksrWzZZ8ytFj0FLlVGHRhR4zTdOWyDCfn+YI6EYdq36HyZUUwpOnQYZGE+mkGWZXx7sYzCWZJ+/\nWLYhLckcCkSO+1udKDpCUcYSKR7rHmbsNFlpnFahmwlYlq/A/9QTudfa6hqSvcVsGPOylfifforQ\nG5sxty4++hBTwq7TcFW95/gborAdGiwGDoxH2OcP0+wwT9rmUCDK/R2DVJt0fLL5+Mt4rUE5tywp\nN8DJMvSzbPWsrVzBpoE3eaTjyUl0zPVVeSXGWovCMf/DgQeZ45iFy1C6CCiQUEIDlzaeX8TRnwoT\nRWgmZyuZdJjI6HZCw2+CLKHRl+eKteYa6tirfwt93EKnug1/fHzKMZwMpKQ09+y7D4ByQxm11mNz\n7Avxp8OD9EhpzLNs/ObJA4h6Feb6/LX9fZsiw2HTqvnovOoca+WNoXEOB2NcP0tJ/L8yqKzcrmtU\nXt/fMchrWY9vNJHiL535PIpLPz2j22Qz8q+LGzBO4X3PsZmYYzNiVquYbTWiVYm0OMzsGA1xTwFv\nvqXEff2PhIlJ6t7Dg1zTkH+24wWrrad7Rng5+xsYVCIX1pSxwn1qpJ99BfmC/kjitJhET0uPXl/f\ngPefPp177bxQ8X71DflkoL6hAY3HQ3jHduQpNO8zoRMXPJrwiv7QPsBgNEFaknm2d5S/HPGRlmTG\ns1V5vcfw+ktBoWAKBIdfz+nmnwgEQeDG+ddyQd3ZAGwZfCv32ZWzLsahz3vRi9wtuLIS0fvGrLAe\n9AAAIABJREFUDk15zGBSuX427fQUGqW0EgZQaUxYypYDAuP9zwKgMeQLxGqslWg3DNHe8hoh+xD9\nkePXFZwI2gvCWQ+3Pz7t/Sba6AForFq0Tj3uNZUYq4sNo1oQCCTT/OZQHwPRBHvGwjzSNcwef5gt\nwwFeHwrk9GtqzXrm2U0lVJTymAnjxaxRT0lA0KpEPjinimsaK9BmaaTnloi9Lys7NVLL7xSWlVlx\n6RRG0TO9ebr0eLZ2YDyRyhl5gFhGyuU3TgSJjMRfjvjwxRLs84e552AfiYxUZOhH4qdHkvi0NPQA\n5iXLEE1KbNSyag3V//wveD9ze+5zQRAwNrcgJ5PEuycrPQbfeF2J7W97c9Jn8gyWboVxzu2jIQ4H\no7w4MMbWkSBd4XwhCpDrhDMdqLVWXHVXIEtpRo78GSlzcpZ4HqNiUA/4FVrnl1bcznl1ZxZtoxHV\nfGrxR5TtxoqbORRiwqO36abHismkleS1qDahNVZicuapn4X9TkVB5JNLPsw1yy4AAX666zdTMoZO\nFC/2vMaPdv4y9/rQ+GH6wgPH2COPYCqTq8gW1SK2FieCKNCoC1BXkN6YCJ0Mx1P8cG93kdjeo13D\n/C0rxne215nrvVo2hdfu1mtIpiXS04z9zxROnYaPzK3KvV5eZp2Ur/pHg12n4eqsJ38wkC8I2zYS\nZCiWVEQSgXO8Tr61bBZOnSZXr3Ai2D0WYutIkLv2dPOH9gHaglFeG/TTU9AScfhdQ398NPz792i8\n8y7FqM+bj9pS7HkYZildp+Ltkz3i8RcVwTL/M08XvR/dv4+2j36Y8K7pxWvNGjXfXDYLnSiyzx/O\n8ZxBibsWxuB2js1MytXkXISlbAWylCRU4HWeCMqNec95TeUKaiylG0q7DWW4DS72jh4gnIoQTIbY\nPVKc75gw9NZpevQThn6CRWSw5XucFhaVgTJRF7KIJlYg/vg40dSx9YCmi1g6xsPtj6MW1ayuXM41\nsy8HoCvYe5w9FQxNNN0wqEBOo9KqSKYOs33kAZz2ArnqdPsxPXRQvM5Cb7rRMplp9S+t9dw2r5rP\n3v0qP/jTzPMJ00WDxcC5VU4+Ob+Gqxs8p30yfDqoN+tRZ7+Ht6BJyh/a+3PVwKvKbahFZZKNpDMn\nXGTlT0yOJDzfP0YkK0ehFgSGThPa52lt6FVmM2rb1HE0Q5PSQWn4gfsYyUon5PbNJm2lSHHv09HH\nH1P+f/SRaY9DI4rUW/SMJlI5lgLAEz0j7Moad5Ug8PLAGJt949PmxoPSEhEgOHJg2vscC54CQ3/F\nrIum3G6iX21KSvHGwDZ+v/8BfrrrN2wvSNAGkyEMaj1a1fRijFKBRw+gt85Cb2nAWXtZSWPi0jvY\nUKV0G3q66wV2j+zjq5u+y7+/dPe0znc87B09SEbOcGHd2Xxg/vtosCmTTW+4/zh7QjiVzsWxY4k9\nBMK/xaPeTiz+CgAvDStUXGIJnu58mFDkYa5t8LDOY6fKqKPFYeYT82tyE0Ch1G9aSnN+tZMlLgut\nOj2VqLio2oVNq2F8PE4yJXGoZ2b30UwgCgJne11U/4N78oUQsvk0gDk2Y+66j8RTdIbiVBi0mLNy\nDhPFaL4TNMK+KaQXVILA2ZVOKoxaBmIJAskUwWRakZo4Rb/p8XBaJmOnC7WrDJXVSiYYZOyxR7Cs\nWIXOq3iwUiqb7Bz343/2aUwLW9FWVDBJz2CaaLAYOBiI5paGakEgnT1WlVGHU69h91iYx7qHqTLp\nqDVPT7dFoXIKRAI96E8CddmoMXB544WUGVxYtMdOsq2sWMrD7Y+zY3g3vSHFqL0+sJUl5QuRZZmx\nuB+nfvr6LpnUhEevGHpR1OR0gEpBEASum3sVW307iKZj/HTXbwBoG+ss2q59/AidwW7OrT1j8kGO\ngV3DSo/eRW6l77DXVIGAQN80DH2hVMBwZA8gcci/tWCLFAxtZbhfRjsLMtIINaYUS8qKxeo+s6CW\nkXgq52VKssS3Xv8BNp2FJapL+cNTSi3IZR9UigUPducpeePhJOXlvItp4r0NHt4YCnBGpYP5djM/\n2a8QONKyXJR4ndDF+tmBXs7xOjnnbdYMTDVRaEUBlSjQZDXSG0nkancALBoVs22npqH8sXBae/TH\ngyAICNo8FS28dUvu7/SokpSR4nGG77+Pzq9+iSNf+gKJEvH86WCe3ZzzEhxaNTfNruTcKhcfmuPl\n5jleFheo/AWTUzdEn/QdRDUavZtYqB/5JNEML6g/m2WeyVIGR8OiNTPLXk9HoItklgXUPn4ESZYY\nTwSIZxJ4TNOzNMnYELGAsioR1TMTJ7t+7lWTWD0TlMs2/2H+562f8HD744zEps9QSktp9o4exKV3\n4jUpTBetSovH6KY3NJDzrN4YCrBxcGySp9WTTa5fWWsgli7mQ08UmulMflTOfC/Tg2OTQ4geg66I\n1RJIBBmNj9ER6OLhvS/l3t/TMcb2tmH+8kq+CPBgz8mpsTgZODIQ5MjAiScwTyWsWjXnVbvQqkRq\nzHpWZ3MndWZ90YpqscvChgoHKoFcc5WZIiPL+BMpak167FltqAaLgTK9hmsalXzB3BIGvaOE1tA7\ngRMy9M8++yx33HFH7vWOHTu49tpruf766/nRj350woObDuwbzsz9Hdy8CVmSkCWJ1Nhko5AaGUaK\nKRc60XmE4OZNJPr76frm14juPzYfv9yg5dvLm7h5diXXzapgjs3E2V4ns20mLBo182wmFmYTt8HU\nzGJ/WmNFVgP/5FAtZ4IL64qrY+OZOAMRHx2BTgAqjNMz9BNNXHSmGoQphM+mwjLPYv73jH9nVbYW\nAJRY/Vjcz493/jr3nq+ElEMpyLLMrpF9xDNxFpY180L/WC5RXm3xEs/EGY37iaQyPNI1xOM9ozzT\nle80lsyk2OsfAWQCccUx0BRMRM3Oudi0VoakTlSOfDek3mkkeQsnq5TBR838EXTNm9h1ZJCfP7qP\njCSzONsj4OeP7uPXj+0lEDn1cd5tB4cYGi9thEYCMf79d9v49m+3smV/6X4MpyPOrHSy3mPnA7OL\n81QGtYoLa8pw6jTH5blvHPRz954u4pniZzqUTCMBdp2aTzTXsLTMwmW1bj6/sJ75dsUO1FkM3Dq3\niq8tbczRajuCikbRWyPBIiLHqcbbNvTf+c53uPPOO4t6o37961/nzjvv5L777mPnzp3sm2Yx04nA\nceHF1H7tm1jXriM1PETf3f+rJGIzGThOkmnwVz+n62v/SqKnm947v09k9y5G/vLnKVk5oiAwz24u\nGZYRBIG1WQ3t0FE/YDCZpisUK1nBCKAxKDdBcoqmJqcS811zmGMvllZ4fWArv96rSDJXHMejTyeD\njHX/jXiwDa3Ri2fOh97WOARB4APz38dFWW/5jcFt/GH/g6SkFM1OpSr5aBnmqfB01wv8as8fALAZ\nmnm+f4z/3dONL5bAa1Ie+s5AF/fszxv3J7p2kpFlwqk0391xmLGEinS6n78eVnI585yzc9vWWqtz\n4SAA9dD8SSGhLYNvcc/eexlPFAvXdY7lqaSiZYwRy1ZEc5AjkXYSqQzrFlTysStasJqUlerDL7Xz\n+6dLt5U8WfD5o/z44T189RevT/osEEnyn398Cyl77z69ZbLy6ekKq1bNxbXuKesMnDoNsYx0zGLH\nx3tGGIwl2T6iJN/3+cPc2z7AG0PK72rXarBo1FzTUJGTmChEo9WIXqWi1WWhxqSnLxLnwHiEPx/x\n8dP9PZO2Px72Z88/U7xtQ7906VIKuxCGw2GSySS1tbUIgsD69evZtGnT2z38tCGIIvraOmzvUeK3\n0T27GL7vjwC4Lr8yt13FR27L/W1Zvabksfru+m/GnvgbkT273tZYLNklXLBAsGo8keK/dnXyswO9\n/HRfD/3RBNGjbiyNXvHgjtazl6XMO5K8Oad2AwCL3QodcltBBelEcdVUGOt5nPCowpgxOY8fLjoW\nBEHIsYYeP/IsB/3t2HW2XFJ5MFq6MfzRKKwhSMkKYygjy9y1p5utfi+g4p5999ETzT+YJuMF3LW7\nk0e7hklKimGIJ7flPp9dMBlqRDVXN13KWTXrqY+cS6izDpfORV94gLSk/PZPdb7AVt8O/njgz7n9\nDnb7eXCTkuyWoxYEVd6hEG3Kb99QaUWnUfH59+Wv5VuHhnl8c+e0vvvbQd+wEr5IZ+RJ99srO/sZ\nCyphrDnVNo4MhBh7hySbTzUmCpm+s70j54RF05mSVcybfOP89lAff2gfYI8/nOPl22fQiKbRqojK\nTUhLT3j0Q7EkvznUx/N9o7kJtRS6QjF+nz3/THFcQ//ggw9y6aWXFv3btWsXF198cRGTIhwOYzbn\nY5Emk4nQSShYmi70TbMRdHkWgcpux3HeBZgWteJ+/01Y16yj4qMfx/qeDVR86Faafvwz3O+7HtcV\nV1Hx4duKjjX+wvNHH35asGgUAxFKpZFlmef7Rvn+rs7cTdQXTfCjvd38ZF/xTK7RKYY+Fc8XeySj\ng/Tt+W9Gu/56yo39grL5fHPNv3DDvKsBCGQLpa5quoRy47H7hWZS+d9Yby0tujYTzHU0FY/NNQ+P\n0Y2AwEDERygZPq5GjzGbI7h27ofY6Cv2qCNpgVmOFYiiA5XKRSrVSTqjrKRGEmn2+MNIUggh+Vfm\n2gviuu4FLPcs5qMLbwFAq9JwzezLWVW7AAC7XE08k+DNwe30hQcYyk5KB8faiWfHe2QghKBXjGpq\nKC+oByCalTxAg1eZmKrLzRgLjMhDL3ectPsgEE4wXBCmKVTmHPIXh28OdisG7fsfX0PrbOVeaO+b\neT+F0xETLByZvNH9yxEfP9nXQzSdKQrXjCZSHAxE8Rp1LCnIxzlmoNnfmGUFbS/QPJJlmQc7BjkU\niPJ8/xh7jkHRfjorxfz+ElLsx8Nxp6Nrr72Wa6+99rgHMpvNRAqojJFIBKv1nau4EwSBun/7BunA\nOPq6OhBViFotVZ/5XG4b68rVWFcqUgCCSoXj/Atzn6VDQcafe5a0f4zont1E9uzCtGDRjMagEUUM\nKlHRCw/Hi3rW3thUydbhAAcDUUYTKWLpTE44akKnPurfQ9DgwVy2An/vk0iZGFH/bgzWWZicMxvL\nTFGW7RxlUhuJZCtcjyVLPAFZUuLHw7pWHm0Pc1OTBfsJlHwXSjesrFjK5bMuQqPSUGEqpzfcz5de\n+xYAl826jlUVi3KSA4UYTwRx6Oz44g5gsrOxomIDPWHFWKUy3ZxT0cjzvS9gNChVxal0L42Wcqot\nXvaNKmETh97Oh1reP+lYzXUKK0kaakCw7+QPBx4s+jwjZzjob2e2fRZHAl2oHENIcSOZES/U50Ob\ngi4KyHizDWBEQeB7n1jDp//31dw2Q/4YHufxlU79IaXvwuBYlO1tI2xo9VJTnnfCvvSz10mkMtz9\n2fdw5/076CpoI7lxzwBXb1Am7HRGor03QLXbRJndwCyvcp8e7guycv70ZEROZyxxWXI69uOJFBaN\nirZglLQs44sl0WTF+VeV25htNeIxaHHptWRkOWesZ+TRW4zYtepcxS7AQCxJfzSBRhRISTLbR4Ms\nKtG+MZRSwr/1Zj0LnDOXrDhp9Eqz2YxGo6G7u5uamhpee+01PvWpTx13P7f7JGqRn8Cx3De9D256\nH+HDHez8/BeIbX6N+rPWzfg4SysdbOwd5fdHxdFWNrg5c04l9+/r5bnOIWJaFbUFP+iwuYJ4eJDx\n/ucJDW8mk4qi0VlJp2IEBp6jZtYK2gMJ7n6znc+vmsMsx6mhaFVY3Bz2KwnIpqpq7Pqpr6kkpelO\njGG2N3B/uBV/PMFjfaN8evksNKqZRQVlWaY/HGc8nuJfz/gysdQwa2ryydk57gZe7pzIYQi8MmTl\nlaFOfnrhElRifmUpyRLBVIhGRy2jKaXfwNfWz+ebr+3PbRNXqVlTez47hqLctHADFzYtYTzzS3YM\n7UanXYjHGOWWFe/FqbdjNGpxGZ14phAOc7stVJaZ6OhKUFNbSU8wH6e3aq0Ek0EOj/ez0fc6e9WH\nEABrfA7rNsxDXQN/O/ic8o1EGaM1RXl5fqJzA+sWedm4SznmSDjJgrnHN7Df+u1WOgsYMp2+EFVu\nM/FEhlsumU8iSxZ4/I3unJF3WnWAwDNv9nLzpQsw6NT0DoVIpiXm1btwuy1Y7Ua0mp08u7UHtVbF\nx69ahCi+s8VWJ9NeuIGbZYnf7e4mrVMzljW2ABGVQE+2ZmZOuY0NtcUr26+vn8fekRAtNa4ZFZyd\nF/Hw4IE8U+tHe5Wcx/qaMg77w7QHo5jtRgya4rzCwZ4RZGBljettXYOTyqP/5je/yT//8z+TyWRY\nv349ra3Hj9kOD79z4Z1pwepGW1WNf9tbDHYP5Qqvpotzy+3s8o0Tyj5MRrWIU6chMh4jApiyy+8f\nvNHGLbO9Of3w+pb34etrJxZsy3WlMthbQYDg4Kt07HuKXw/VkJRkHtjTza3zpi/MNRPYNHmDlgjK\nDE8RfhuJhEgNPqm8UJcRy37f/aMh/rijk0tqSzc/l2WZQ4EosUyGVqcl95DsGg3xpw4lUWnRqqkz\nWXi16wCzrEY2VDoo1yoGTq9bRWH/3WcP9LGsgCO9e2QfGSmDUTDRE47jNeoQj+I7d4yGGEuk0KtE\nltoaGRkJc13je3GpXsZlhFUV10MCIok0Z3qU3M+x7tN5NXZe3N5HJln8cEbH9WAM8nLnZtKq7Go3\npeVbV1yLVqVBlmuYZ57LtoG9vNj/EtdcUDHpPJ+9fglzqqzc8+QB3tw7QDKRYl6tA8MUnmQskS4y\n8gCHewMc7lVWMFv25ZPBT7/ehQB8+aZl1FWYeWxTJ3/b1MXH/uM5REFgNBuLtxnVuXHNqbGxp2OM\nJzd18tqOPprrndx66XxU4qlnarvdlpNuL1TZ6taekRCHCmQn7t2rhFfL9BqadJpJ59UBSy1GRkZm\nFi9vKAj1XFDt4uleZUVhFwRmmQx0B2NsOTI0SUDx8JDymzoRGB4OzdjYn9Cvs2rVKv7nf/4n93rx\n4sU88MADPPTQQ3zuc587xp6nN4zNLcjpNMmB4xfWHA2dSuSCamX2VwkCX25t5OPz8/HYwibmv23r\n56+dPhIZCZOtBot7Oe6GazHam1FpLBgdLVjdq0FQERx8lUQyG9+dYWcjUAysL5bIxgOn5g63uBTZ\nAq+pAlEQGYknJyWI+iJx/nvfID8ba+Fh6RJ2CkuKlAL3T8FNTkuSktRq6+eBDh+bh/Kx3rdG88Yp\nlFRi5W3BKE/1Kk0l6izVCIIenXYROm1eQ+eZvtFcLFWSpVzRlSRYyMgyHqMWTYERsmvVdIXjhFIZ\nVrhtOUEwrUrDxY3nsqoiz66ZLlbOV5hJ0SNN2HU2blt4M0vcC8l0LUSWxJyRT/fNwjF4bq7SWBAE\nGmx11DsUJpCsnWw0DDo16xZWYjZoeGXnAD98aDf3PTe1PlHPUPExrEblXGtaKlg6Z/Lke87yapqq\nbWjUKhY3KZ/7Q4mckQcod+TDRReuzEtZhKIp3tjno723dMz+pe19fPu3W0nOkG78TmIi9OdPpjiU\n7Z07gRqTnlvnVhfdPycKu05Di8NEs93EGZVOLs2ygmZZjcy2Kde5rUQD99EsDfTtKmH+Q1fGnipo\nyxXvsee736byY5/EtKgVUTf9LkhLy6yY1CpEgaKwAkC1SU+lQctYIk1CktgyHKTSqKe6QvFKBVFN\nWcM1RfuotXYi8SARlBuhJxLnL4d7udgDOlMVI0fuR2euw1pemk0E8Fz/GC9mcwbbR0N8cVF9yVj6\n6srleM0V6FV6fLEEd+3pZo5Vy00NdtTZXMKOYSXRmESLT9Ly7IDi7VxdX8720RBHQjFG4smiSQ3g\nwQ4fuwsYA7tGQ6gFgS3DgVzTjVLwxRI0WryoVUcZKmmYUMrNI509uDXdzHPmO2AlUCiZE5oy/9Ja\nj4DA493DjCeVMayvODm9aufWOlg5v5wt+4f4wvpPMt/toMk8l02Pv4oubkQwhkESSfU3smjl5JXY\nREHXVNIMoijQ2uRi427FG39t9wCH+wOsXVBBIiWx7eAQX7xhCTazLmfob7lwLuUOIxVOI2/u93HW\n0ip2d4zx1iHlt7vjusWMBuOsXZDvn9xQaWHdggo27ilWEy2351e1zfVOfv6FM7nnif2MBRMc7Bnn\np4/upbnOweXrG/AUTAq/y9JCu31hmqpPjSTwicKuVSMK0BWKM5pIMdtqZGmZlYFognUVdiyak28i\nb2zK8/rXeuysKbchCAJWjRqNKNBVoqhqNJFCpxLfdi/ff+jK2FMFbUX+5h/42f+j/yczL/6aazeV\nLHXWqUQ+vaCOT7XkvfyJBs9HoyMYJZhMY3IuyjUoNxHBLMTYOhbjxYOvkIr5iAUOMd737DHHc/Q5\njoRiPNc3yutDk7vg1FqqKTeW5aR1DwWT7NzzO3qCQf7Y3s/G4dKslxaHOaeEeNee7qKVQFqSc7Sw\nS2rKKDdo6Y7E+WvXUM7Ir3TbuCGr376q3JZrhu2LJdk/HseiL+47EIw+T0YKsHMsxV+PbOOZrheV\n4zdcwHBcU8SQsGk1WLVqvKb8hH0iD7GUSND9H9+h69vfwP/cs5y1RFGEfDUbT5+QMpBCihx0Juji\n8rWzuOaMycwkj9GNRtRwcKyde/beW1LJ87qzZ3PRqtqc4zAwGuWhlzv426ZOBkajvLxDOW+XT5l0\nZ1XZmF/nwGHRcf7KWjRqFYtmuThzsZc7rltMS4OTDa1e1AW5FEEQ+ODF8yadu9xRHL5Uq0Ruu6yF\nz1+3GJNeTSCcZPNeH7/6Wz4P4g/lJ+7hKQqxTgeoRZFqkz7nMZfptbS6LFxYU3ZKjHwpTIQv1aJA\njUmPL5YkksrkVDAHogmGYklcOs3bFqB716MvAU15ccIrfrgdWZZPqsqfS6/ly4sb+J/dXezxh+kN\nxpgwQRlZZpNvnCd7Rqgx6fn4/HWoZS/0SiwQ25grHOGPmcvYLjWzajwvhnasMY4n0pjUKm6Z7eX/\n7e9h11gop9uzwm0r2aO0v0Bj/+HMeUgHJxd0VRl1aFUi6zx2DGoVa8rtvDzgJyPLjCfSOLNyvH2R\nODKKAV9X4aAnEs8p+11fX0aDVo3ZqsQlvzC3DE1XL6N9EdDk45gI+QnYppEIyCFi8dcwGy9Bo27g\nTZ9St1FmbEQiTbVJP+l6zLebebp3lDMrp6/hUwrBTRuJH1YkD4a7Opn1v2vwOAy8vtfHvk4/wWw1\n60rbWXQO9nJG82zOXVyaxaQSVVSbKzkS7Garbwd7Rw/w9dVfLNIqMhs0XHtWE5esqaetd5xfPb6f\ncCxf1fnYpk46B0PsaB9BoxapdE1m56hVIjdfONmQF48lb/i/dONSgpHklPkAjVrkU1cv5L7n2uge\nCnO4P8ChnnF+8sgeDNr8Pj7/5FDE6YQGi4HurFF1zoBFcypQbzHQEYrx7zsUNdur6stzMtfT6Tw2\nFd716EtA7cgbAfPSZUixGJnAyecOWzRqzvY6SUkyv9vdleNJvzUS5MkehVPfE4mTliGqytIfiWIU\n4swROgljoqOg0rKQ014ISZYZT6Zx6NRUGnXoRLFIt7svUtpDLwynSOSXjE7yq4BZViO3zavOJY+s\nWjUXVitjfaRrKNfHsyd7jvpsVXHhTet46E/4/u1fkCIRBEEg+sO76b/rTmL3/Az7WLF3u9Rl4ZKa\nMj7VMovPLf0EX1n+AUBCp65Er5mF1349rw8rt3WFcfKDUW7Q8pXFjSUbcMwEoS3FVaTJvl42tCpL\n8gkjLwhw8/nz+fb7L5jSyE+g3pqPfcfScb666bs5GYpCGPVqWpvKuP3aVmYXhEMyksyOduWeMRs0\nJ5Qc/d7H1/CVm5cxp8bO8nnHroyeW+vgGx9eyZXrG5Bl+M8/vkUgnGRwLH9/Ff59OqKw5eJ0u3ud\nKqwut2EoWGU93DlESpKZazNyQfXbv2ffNfQlIIgi9f/xfRrvvAttpfLwJgf6SfR0T9nN6u1ifYWD\n+XYTRwLRXJeqzqNidIeD+QYnZkH5rFFQWAFt8bzXF/XvKXmOcCpDRpaxazWoRIGzvcVt+9qzyZ/D\nwShdoRiSLPPKgJ/+aIJKvYBSUpLHNdoXuampEodOzRrP5NhrZbYUvC0YzSVZJxowTDRcX1ZmZYXb\nyucby4htfQMpGiXw6svIskzkyBEARFnmygd/wUVbX2BlKsw/NSv66esqHJg0aprsDXhMLqpNBgTR\niU5/NpGMhcHsSqHCUDqvYtKopuzKNF0kBvrReDxU3PYx5XVPD+cur+Hc5dVoNcpj9YkrFqBRT+8R\nW1A2v+h1Wkrz1tDUFdqNXitfvmkZP/7chlwyeAL1FSdGQXQXcOani1XNU9M+D/cFyZziPq0ngvoC\nSZNSdRnvJMwaNTfP9mItCBvpVSI3NnlPqD7lXUM/BbTuctQ2G9pKJU489vSTdH3za4w89OBx9pw5\nJpQvJ2LifZEEWlHgE1m2zpvDgZyhb2y6CvesG1mx6Ba0JDkiV+eUl8f7nyMW6iSeznA4GGU8G3d8\nMdt0ekJlb12FnQ/O8fKZlloEoD0rtPSrg3387EAv+/wRnsq2ZKvUplkvbsOjSdKs6uI88TUMxgqa\nHWa+sKgBW4nKwGpTvkJ5x2gIWZYZiacQyHtME717NQf25raN7N5FakgJD6ldLuq/85+obHY82zbT\n/Ou7cI0MljTQs60mjuYhrXLbTlnnpEwkghQOoy33oKtWPPFETzdiMs4NZzby0zvO5JdfPOu43nAh\nJorTLFoz181RpDuGoyPH2gVQWDleVz4X9KGL53HjeXOOscepgcdp5AefXDvp/TOXVDEajLP90PG/\ny98LKlFgWZkVi0aV06r/e6LOYuBLixtyz2ury4L6BOsV3o3RHwf6euUBjO5RNErGX34R93U3nNRz\nTBjGp3pHcOrUDMeT1Jn11Jj1VBp1HBiP4DZoEQVwmstRi4r31KiLcCDhIGxZTpXZwmv5460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bfFa7gsahLlS18AQD90mDzhqKokfMLEkM8zTTgL+6ECGr76Ek9TI2qzvIhf56jnq8LvSdlVTmxF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\nd2xBmzEYV3lZOy2kt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QgEAkHvOCflbNQKFe/uX0FRUzEOj4Nqew3v7Ps3AGnhKZjpx/JK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\nTnFEoBcIBIJTHBHoBQKB4BTn/wNINjLrfNEsDQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# same plotting code as above!\n", "plt.plot(x, y)\n", "plt.legend('ABCDEF', ncol=2, loc='upper left');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ah, much better!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exploring Seaborn Plots\n", "\n", "The main idea of Seaborn is that it provides high-level commands to create a variety of plot types useful for statistical data exploration, and even some statistical model fitting.\n", "\n", "Let's take a look at a few of the datasets and plot types available in Seaborn. Note that all of the following *could* be done using raw Matplotlib commands (this is, in fact, what Seaborn does under the hood) but the Seaborn API is much more convenient." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Histograms, KDE, and densities\n", "\n", "Often in statistical data visualization, all you want is to plot histograms and joint distributions of variables.\n", "We have seen that this is relatively straightforward in Matplotlib:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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mjKt9NHbnOm/Wk45tA3DH71DXI+jrC8Iw1LT0P17cz5OTiTUB4/9HZBn6FRUV6OzsRE1N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\n0CciEsj/B+c09O88oEtuAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data = np.random.multivariate_normal([0, 0], [[5, 2], [2, 2]], size=2000)\n", "data = pd.DataFrame(data, columns=['x', 'y'])\n", "\n", "for col in 'xy':\n", " plt.hist(data[col], normed=True, alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rather than a histogram, we can get a smooth estimate of the distribution using a kernel density estimation, which Seaborn does with ``sns.kdeplot``:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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lzeLM7elJWTJyZ/rSNX1ffGDCx41O1JISj5DQF3Nk78E2IrEkm1eUYrVomdv7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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for col in 'xy':\n", " sns.kdeplot(data[col], shade=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Histograms and KDE can be combined using ``distplot``:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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R0xEi6yaJaa1oSFDNJaiFcDUHR1Vm3G7oGj2tAQolh5FUqU6tE41MQl/UTd9o\nnpFUmZ62IGU9g8IjrrXVu1lNwdJDABTU9YXL1rX7n5QuDMjiKuJ6Evqibt4/MQzAhs4wadefZhjT\npHbMfAQ1/7xHUeWuu68zbhIMGFwcyuLJLB5xDQl9UTcHTo5gGho97UEyzhgAcV1Cfz4s7cY9fV3X\n2LQmRrHsMiwXaolryIlcsWRX18SfzWzTBPtH8/SN5rl9awsBUyfj+qEf09rII8MSc5nq6XN9Tx/8\nsgynr6S5MJihp0OuexDTJPTFkl1dE/9aN5om+NahfgD27WinUCqT8cYxNWtqOUBxczcb0wdY0x4h\nZBlcHMxx3x6FrsvJceGT4R1RFeFIlEg0ft3XbG8EFcflncODxMIB7tzWiqdcsm6KFqNDphjOk0kA\nTemzjukD6JrG5p445YqsnytmktAXy+7AyRFyxQofv3MtpqGTV/7MnYTRUe+mNQ1N07AIUlDZG5Zc\n2LrWX0bvwqAMl4lpEvpi2f2k1x/a+cRda8lmM4yWBgAIO1EK+Rwy32R+AgRxqMx6kRZAV2uYSMjk\n0lAO1/OWuXWiUUnoi2XVP5rn1OUUeza3ETEd3r70CwbUeQDyTobTqV4qtlxUNB8W/rj+1UsnXk3T\nNLb0xKk4Hv2jMsQjfBL6Yln9pLcPgE/evR6AcCSME7ABaIl0EAyH6ta2ZhPAX2gm76VvuM2WySEe\nuVBLTJDQF8smW7B56+AArTGLu3d2Tt1eVgVMAgQ0qbmzENZk6Ls3DvSORIhYOMDl4RyuKwNnQkJf\nLKMfvXeZcsXlt+7fjGn4Tz1HudiUCeuxOreu+UwO70zW15+NNjGLx3H9EtZCSOiLZZEvVfjxgSsk\nIgE+sXfd9O2uP9Yc1mUh9IWaDP2ce+PQh+khHlk0XYCEvlgmr79/hZLt8hv3byIYMKZuzzn+gugh\nCf0F09EJESV3k54+QHs8SDwSYGC8TLni3nRbsfJJ6IuaK5ZdXn//MrFwgH83cQJ3Utb1Qz+syfDO\nYkS1BEUvd12J5atpmsaWtQlcT3Hs4o1P+orVQUJf1NxrHwyQLzn8xn0bCVkzK3/kJkNfevqLEtX8\nxdDz7s3DfEuPP8Tz4ZlkzdskGpuEvqipfMnhpweH6UgEefjejdfdn3MKBLAwNCkDtRiRidCfa4in\nNWYRD5scv5imWHaWo2miQUnoi5o6fD6D6yke++R2rKvG8gHyToGysglpUmRtsSZ7+tk5TuZqmsbG\nrjAVV9Fs7e8OAAAgAElEQVR7ZnQ5miYalIS+qJmRZJEroyU2dUe4f8+a6+4fLvrhE5TKmosWnerp\nzz1Wv6HLn+3z3vHhmrZJNDYJfVETSinem1gZ6/c+tnHW6pmDRf9+6ekvXkTzx+rnmrYJkIgEWNse\n5sj5MQqlG5/4FSubhL6oiQuDWUbTJdZ3hti2dvaZOUPFEQBCmpzEXSxDMwnrsXmFPsDdO9pwXMWH\np2WIZ7WS0BdV57oeH5wcQdc07tiSuOF2k6EfJLxcTVuR4nobRZXDUfac29690194/l0Z4lm1JPRF\n1R2/mCRfcti9uZVYePZZOUopBosjRPUwuiZPw6VIGO0AZN25p2N2tYTYvCbOsQvj5IoyxLMayatN\nVFXJdjh8bpxgwODO7TdeFCVVTlNyS0RNGdpZqrjh994z8wh9gPtvXYPrTZ9zEauLhL6oqiPnxqk4\nHndsb79uiubVruT8hVQShoT+Ui2kpw9+6GvAz48O1rBVolFJ6IuqKZQqnLyUIhIyuWVj6023vZz1\n6+onTCm/sFTTPf3xeW3fFg+ye3MbZ66kGU5JEbbVRkJfVM3BM2O4nuKuHZ0Yxs2fWpezEz19Cf0l\nC2lRTCyy3vxLLDxwWw8Av5Te/qojoS+qIld0ONOXJhG12L7uxjN2Jl3O9hEPRAnqwWVo3cqmaRoJ\no42sm8Rjfmvh3nNLFwFT5+dHh264sLpYmST0RVWcvJJDKbhrRwe6fv2FWFfL2XmS5RRrwz3L1LqV\nL260o/AokZ/X9uGgyd07OxkcL3BhMFvj1olGIqEvlixXdLg4XCAWDrB5oprjzVzO+eP566MS+kuh\nlKKQz1HIZwm5/lXNSXt43j33X5kY4vnZERniWU0k9MWS/ezoCJ4Heza3oc9SbuFaVybG89dFJPSX\nolwscjZ/iAulYxQcv7c+4J2jVJxfb//2re0koha/ODpIxZnfsJBofhL6YkkqjsfbR4YxDY0dG1rm\ntc/kzB0J/aULhkKEohESYX/aphecf3ibhs5Hb+8hX3Kk8uYqIqEvluTd40NkCg5beyIEzPk9nS5n\n+wibYdqs+b1JiLkFtTAaOra+sMXPP37HWgDeOtRfi2aJBiShLxZNKcVr711G02DHuvldZFV0SgwX\nR9kYXz9r5U2xOJqmEdajVHQbNc8ZPADrOqNsX5fg6LlxxjMLe8MQzUlCXyzaiUspLg3nuGtbG9HQ\n/Fa+6ssNALAxtq6WTVuVwloUNEVRm9+Y/qSP37kWBbwjJ3RXBQl9sWivvXcZgE/e1X3DbZRSZLMZ\nMpk0mUya0yNnAOg028hmM5RKZZBp4lUR1v0L3Qr6wqZg3rdnDZap886hATyZs7/iycKkYlEGxwsc\nPDPK9nUJtvTEuDIye9AUC3l++sE4re1+8bXeynl//ysGw8UhzmTGiLe2YQVDy9b2lWpycfmCkVnY\nfkGTj+zu5p0jgxy/mOS2Le21aJ5oENLTF4vy2vuXUcAj922ac9tQOEIkGicSjZPTkhiYdMXWE4nG\nMAOB2jd2lVhsTx/gk3evB+AnH/ZVtU2i8czZ0/c8j6effpqTJ09iWRbPPvssmzdvnrr/jTfe4MUX\nX8Q0TR577DE+85nPAPCpT32KWMx/Em7YsIHnn3++Rj+CWG65YoV3Dg/QkQixb1cn+dz8QsZVDhl3\nnHazB01q6FediYXuGRT0hfX0AbatS7CpO8aHp0ZJZsu0xaU8xko1Z+i//vrr2LbNyy+/TG9vLy+8\n8ALf+ta3AKhUKjz//PO88sorhMNhnnzySR566CHi8ThKKV566aWa/wBi+b15sB+74vFrH9+Aoc8/\nvNPuKApFq9FVw9atXpqmEfCClIwCjrIxNWtB+37y7vX847+d5K1D/fwPH9taw5aKeprzFXvgwAEe\nfPBBAPbu3cuRI0em7jt79iybNm2ipaUFy7K45557eO+99zhx4gTFYpEvfvGLfP7zn6e3t7d2P4FY\nVo7r8eMDVwhaBp+4a2EzcMYcf3ZIuykXZdWK5YVAg5Sz8Iut7r91DSHL4Ke9/bieXKG7Us0Z+rlc\nbmqYBsAwDBzHmbovHp+utRKNRsnlcoRCIZ566in+/u//nj//8z/nz/7sz6b2Ec3t/RPDJLNlHrxz\nLZF5TtOcND4R+h0S+jVjuf4J8ZQ7suB9w0GTB27rIZktc+jMWLWbJhrEnK/aWCxGPj8979fzPEzT\nnPW+fD5PPB5n69atbN68GU3T2Lp1K62trYyMjLB27dqbHqura+5iXWL+qv37VErxRm8/mgaPP7Kb\nrg5/tohlecSi40Rj18/AKeYtdD1APBYilRnG0oKsTfSgaRo6NlbGxAoGCIb8E7pW0EQ3jKnvbdsk\nYAWwrOltJrdzvOXZF7huOz2go2n+9gs5bi33BYgaUcaAnDZK/Jq/h45NZ2eclpYbPy/+/a/tYv+H\nffz00ACPfGzbDbdbKnmt18+cob9v3z7279/Po48+Sm9vL7t27Zq6b/v27Vy8eJFUKkUkEuH999/n\nqaee4pVXXuHUqVM8/fTTDA0Nkcvl6Oqaexx35AbT/sTCdXXFq/77PHU5xZnLKe7Z1YXheVOPn8lk\nyeXLeFx/RWc+b6PrLgSTZJwka8xN5PJlAAr5MrbtYJQrlAP+It122UE3Pcql6e8rdgXbrkzdNn27\ng70M+wIzbtdND90z0DSPcqCyoOPWcl+/oQZ6wGC4NEg2N/Pvkc+VOH++j3j8xs+LeDzB7k2tHDoz\nyofHBtjQVf1Fbmrx3FzNFvoGOmfoP/zww7zzzjs88cQTKKV47rnnePXVVykUCjz++ON8+ctf5qmn\nnkIpxWOPPcaaNWv49Kc/zVe+8hWefPJJNE3jueeem/p0IJrP5AVW//qzcwB87LZ2Mpn01P3ZbGbO\nC6wmx/Pjqp1C3n/BF/J+DX5RPRoaUS9Bxh3DVQ6GNv26u/aaiWsVC3kevn8HD9+7kROXUrz+/hX+\n4Ld2L1fTxTKZM4l1XeeZZ56Zcdv27dun/v/QQw/x0EMPzbjfsiy+8Y1vVKmJot6y2QzfffMkh87n\naIsF6BvJ0D863VMbHx0iEk0Qid24xzFcvASA7RS54BwDIJ0ax9Pc2jZ+FYq6LWSNJGl39LqT5pPX\nTMxm8s19a3ecjoTFz48M8Bv3dE2V2IjHE1IvaQWQ7reYlyvjfpf89m2dRGMzl0Ms5HNz7p/y/BOL\nbZGuqamEpUKBYmlhdWLE3KKeX7006QwvaKbU1Z8E1neGGMvY/NMb59i9MT71KSCRkMqozU6ukBFz\nKpZdLgwViITMea2MdS2FR1KNYKnQguaOi8WJea0AJN3hBe87+Ung1q3dmIbGuYEiwXCMcGR+VVRF\n45PQF3P6xfFRHFexe1PrnOvfziZHGgebCDJjYzlEvBgGganzKIthBQx2bmilUHa4MLDwK3xF45LQ\nFzfleh5vHhrG0DV2bmxd1GOk8S8UktBfHho67eYaMu4YFa+86MfZs6UNTYOj58fnve6uaHwS+uKm\nfnlsiGTOZsuaCMGAsajHSGn+eL6E/vKZvABu3F18bz8WDrB1bYJUzmYwufg3D9FYJPTFDXlK8YOf\nX0TX4ZYNix/TTTOKRQgLKZ+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(data['x'])\n", "sns.distplot(data['y']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we pass the full two-dimensional dataset to ``kdeplot``, we will get a two-dimensional visualization of the data:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/tarrysingh/anaconda/lib/python3.6/site-packages/seaborn/distributions.py:630: UserWarning: Passing a 2D dataset for a bivariate plot is deprecated in favor of kdeplot(x, y), and it will cause an error in future versions. Please update your code.\n", " warnings.warn(warn_msg, UserWarning)\n" ] }, { "data": { "image/png": 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Z4p+ESqGkztz9g0mLw0q9qZm0brpeZFnm57ydaFRqhkan9fgeRVXFGC1GxqR1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\np/xryFR6te5yWa+Vy+Tc02kcUb4RvHdoEV/GrmRp/CZ6BneiS0A7wtw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(data);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the joint distribution and the marginal distributions together using ``sns.jointplot``.\n", "For this plot, we'll set the style to a white background:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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pbd8iJjrwIlbP1y8hHHPO74913xfg0Td/xPO3TdX0RAW3h5DZbMYDDzyAsrIy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\nQkREJAxDiIiIhGEIERGRMP8PXLJqzsBfovsAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " sns.jointplot(\"x\", \"y\", data, kind='kde');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are other parameters that can be passed to ``jointplot``—for example, we can use a hexagonally based histogram instead:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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H80L4fjuqEu8F5Hl+1JgQouW1OBdgLPiz9f1UWYKJ+ETYTurNBe9Lu/fEcXnb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " sns.jointplot(\"x\", \"y\", data, kind='hex')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pair plots\n", "\n", "When you generalize joint plots to datasets of larger dimensions, you end up with *pair plots*. This is very useful for exploring correlations between multidimensional data, when you'd like to plot all pairs of values against each other.\n", "\n", "We'll demo this with the well-known Iris dataset, which lists measurements of petals and sepals of three iris species:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2setosa
14.93.01.40.2setosa
24.73.21.30.2setosa
34.63.11.50.2setosa
45.03.61.40.2setosa
\n", "
" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 setosa\n", "1 4.9 3.0 1.4 0.2 setosa\n", "2 4.7 3.2 1.3 0.2 setosa\n", "3 4.6 3.1 1.5 0.2 setosa\n", "4 5.0 3.6 1.4 0.2 setosa" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris = sns.load_dataset(\"iris\")\n", "iris.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualizing the multidimensional relationships among the samples is as easy as calling ``sns.pairplot``:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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KKhTlS4Rvfu3Zqoa2Zsiy83iekJOSlOmCmcVLUoR9c4mmGD+b8k8YbmpCkr4A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iIiIjLihIMoxEmlUqhy0qAYHm/zfFt1C6RSqZ97RURERGTECQcRDVk6nQ5vv/0WAEChkKGtrcvq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EbmjAQQghhBBCCLGb/w/mo+J/NetnJQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.pairplot(iris, hue='species', size=2.5);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Faceted histograms\n", "\n", "Sometimes the best way to view data is via histograms of subsets. Seaborn's ``FacetGrid`` makes this extremely simple.\n", "We'll take a look at some data that shows the amount that restaurant staff receive in tips based on various indicator data:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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total_billtipsexsmokerdaytimesize
016.991.01FemaleNoSunDinner2
110.341.66MaleNoSunDinner3
221.013.50MaleNoSunDinner3
323.683.31MaleNoSunDinner2
424.593.61FemaleNoSunDinner4
\n", "
" ], "text/plain": [ " total_bill tip sex smoker day time size\n", "0 16.99 1.01 Female No Sun Dinner 2\n", "1 10.34 1.66 Male No Sun Dinner 3\n", "2 21.01 3.50 Male No Sun Dinner 3\n", "3 23.68 3.31 Male No Sun Dinner 2\n", "4 24.59 3.61 Female No Sun Dinner 4" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tips = sns.load_dataset('tips')\n", "tips.head()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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CAFgCgQUAsAQCCwBgCQQWAMASCCwAgCUQWAAASyCwAACWQGABACyBwAIAWAKB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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tips['tip_pct'] = 100 * tips['tip'] / tips['total_bill']\n", "\n", "grid = sns.FacetGrid(tips, row=\"sex\", col=\"time\", margin_titles=True)\n", "grid.map(plt.hist, \"tip_pct\", bins=np.linspace(0, 40, 15));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Factor plots\n", "\n", "Factor plots can be useful for this kind of visualization as well. This allows you to view the distribution of a parameter within bins defined by any other parameter:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style(style='ticks'):\n", " g = sns.factorplot(\"day\", \"total_bill\", \"sex\", data=tips, kind=\"box\")\n", " g.set_axis_labels(\"Day\", \"Total Bill\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Joint distributions\n", "\n", "Similar to the pairplot we saw earlier, we can use ``sns.jointplot`` to show the joint distribution between different datasets, along with the associated marginal distributions:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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KPYQqeC2LByV9Q1n0DuWgawoOaY8ioKtlL4bFRb5nIIutnQkAEvPbIoiE9KoW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\nCWxq+AAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " sns.jointplot(\"total_bill\", \"tip\", data=tips, kind='hex')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The joint plot can even do some automatic kernel density estimation and regression:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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/TY1OuuOEEHOVTlHm9BhQv8eDJxBLa/fbqQw6aQkJIcScomkand1uYpoRo8mS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\nae00iEZ1wmrkc+AtU8cwTRwub3Lfz6iyDImpPEj9GrMLfbS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.jointplot(\"total_bill\", \"tip\", data=tips, kind='reg');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bar plots\n", "\n", "Time series can be plotted using ``sns.factorplot``. In the following example, we'll use the Planets data that we first saw in [Aggregation and Grouping](03.08-Aggregation-and-Grouping.ipynb):" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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methodnumberorbital_periodmassdistanceyear
0Radial Velocity1269.3007.1077.402006
1Radial Velocity1874.7742.2156.952008
2Radial Velocity1763.0002.6019.842011
3Radial Velocity1326.03019.40110.622007
4Radial Velocity1516.22010.50119.472009
\n", "
" ], "text/plain": [ " method number orbital_period mass distance year\n", "0 Radial Velocity 1 269.300 7.10 77.40 2006\n", "1 Radial Velocity 1 874.774 2.21 56.95 2008\n", "2 Radial Velocity 1 763.000 2.60 19.84 2011\n", "3 Radial Velocity 1 326.030 19.40 110.62 2007\n", "4 Radial Velocity 1 516.220 10.50 119.47 2009" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "planets = sns.load_dataset('planets')\n", "planets.head()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " g = sns.factorplot(\"year\", data=planets, aspect=2,\n", " kind=\"count\", color='steelblue')\n", " g.set_xticklabels(step=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can learn more by looking at the *method* of discovery of each of these planets:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " g = sns.factorplot(\"year\", data=planets, aspect=4.0, kind='count',\n", " hue='method', order=range(2001, 2015))\n", " g.set_ylabels('Number of Planets Discovered')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For more information on plotting with Seaborn, see the [Seaborn documentation](http://seaborn.pydata.org/), a [tutorial](http://seaborn.pydata.org/\n", "tutorial.htm), and the [Seaborn gallery](http://seaborn.pydata.org/examples/index.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Exploring Marathon Finishing Times\n", "\n", "Here we'll look at using Seaborn to help visualize and understand finishing results from a marathon.\n", "I've scraped the data from sources on the Web, aggregated it and removed any identifying information, and put it on GitHub where it can be downloaded\n", "(if you are interested in using Python for web scraping, I would recommend [*Web Scraping with Python*](http://shop.oreilly.com/product/0636920034391.do) by Ryan Mitchell).\n", "We will start by downloading the data from\n", "the Web, and loading it into Pandas:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " % Total % Received % Xferd Average Speed Time Time Time Current\n", " Dload Upload Total Spent Left Speed\n", "100 836k 100 836k 0 0 624k 0 0:00:01 0:00:01 --:--:-- 634k\n" ] } ], "source": [ "#!curl -O https://raw.githubusercontent.com/jakevdp/marathon-data/master/marathon-data.csv" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agegendersplitfinal
033M01:05:3802:08:51
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" ], "text/plain": [ " age gender split final\n", "0 33 M 01:05:38 02:08:51\n", "1 32 M 01:06:26 02:09:28\n", "2 31 M 01:06:49 02:10:42\n", "3 38 M 01:06:16 02:13:45\n", "4 31 M 01:06:32 02:13:59" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = pd.read_csv('marathon-data.csv')\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default, Pandas loaded the time columns as Python strings (type ``object``); we can see this by looking at the ``dtypes`` attribute of the DataFrame:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "age int64\n", "gender object\n", "split object\n", "final object\n", "dtype: object" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.dtypes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's fix this by providing a converter for the times:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agegendersplitfinal
033M01:05:3802:08:51
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" ], "text/plain": [ " age gender split final\n", "0 33 M 01:05:38 02:08:51\n", "1 32 M 01:06:26 02:09:28\n", "2 31 M 01:06:49 02:10:42\n", "3 38 M 01:06:16 02:13:45\n", "4 31 M 01:06:32 02:13:59" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import datetime as dt #pd.datatools.timedelta deprecated\n", "def convert_time(s):\n", " h, m, s = map(int, s.split(':'))\n", " return dt.timedelta(hours=h, minutes=m, seconds=s)\n", "\n", "data = pd.read_csv('marathon-data.csv',\n", " converters={'split':convert_time, 'final':convert_time})\n", "data.head()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "age int64\n", "gender object\n", "split timedelta64[ns]\n", "final timedelta64[ns]\n", "dtype: object" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.dtypes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks much better. For the purpose of our Seaborn plotting utilities, let's next add columns that give the times in seconds:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agegendersplitfinalsplit_secfinal_sec
033M01:05:3802:08:513938.07731.0
132M01:06:2602:09:283986.07768.0
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" ], "text/plain": [ " age gender split final split_sec final_sec\n", "0 33 M 01:05:38 02:08:51 3938.0 7731.0\n", "1 32 M 01:06:26 02:09:28 3986.0 7768.0\n", "2 31 M 01:06:49 02:10:42 4009.0 7842.0\n", "3 38 M 01:06:16 02:13:45 3976.0 8025.0\n", "4 31 M 01:06:32 02:13:59 3992.0 8039.0" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data['split_sec'] = data['split'].astype(int) / 1E9\n", "data['final_sec'] = data['final'].astype(int) / 1E9\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get an idea of what the data looks like, we can plot a ``jointplot`` over the data:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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JIQPCkiVL0NTUlO5ukBSgERkhJGs99dRT+Mtf/mJ+n5+fn8bekFShQEYIyVqnnXYa7rvv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\n39ZVFB79EgB34VFatL2YS7v159bvX0v2Vb2ZeM940tq0Y8r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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "with sns.axes_style('white'):\n", " g = sns.jointplot(\"split_sec\", \"final_sec\", data, kind='hex')\n", " g.ax_joint.plot(np.linspace(4000, 16000),\n", " np.linspace(8000, 32000), ':k')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dotted line shows where someone's time would lie if they ran the marathon at a perfectly steady pace. The fact that the distribution lies above this indicates (as you might expect) that most people slow down over the course of the marathon.\n", "If you have run competitively, you'll know that those who do the opposite—run faster during the second half of the race—are said to have \"negative-split\" the race.\n", "\n", "Let's create another column in the data, the split fraction, which measures the degree to which each runner negative-splits or positive-splits the race:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agegendersplitfinalsplit_secfinal_secsplit_frac
033M01:05:3802:08:513938.07731.0-0.018756
132M01:06:2602:09:283986.07768.0-0.026262
231M01:06:4902:10:424009.07842.0-0.022443
338M01:06:1602:13:453976.08025.00.009097
431M01:06:3202:13:593992.08039.00.006842
\n", "
" ], "text/plain": [ " age gender split final split_sec final_sec split_frac\n", "0 33 M 01:05:38 02:08:51 3938.0 7731.0 -0.018756\n", "1 32 M 01:06:26 02:09:28 3986.0 7768.0 -0.026262\n", "2 31 M 01:06:49 02:10:42 4009.0 7842.0 -0.022443\n", "3 38 M 01:06:16 02:13:45 3976.0 8025.0 0.009097\n", "4 31 M 01:06:32 02:13:59 3992.0 8039.0 0.006842" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data['split_frac'] = 1 - 2 * data['split_sec'] / data['final_sec']\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Where this split difference is less than zero, the person negative-split the race by that fraction.\n", "Let's do a distribution plot of this split fraction:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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YMau73ejvPxE34wnnPqdb/p/vfjrg9dLf34ep1lGnDYfBStT3XjREY19N1D+N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\nEBGpGEOAiEjF/j92rnYxdTdcrAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.distplot(data['split_frac'], kde=False);\n", "plt.axvline(0, color=\"k\", linestyle=\"--\");" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "251" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sum(data.split_frac < 0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Out of nearly 40,000 participants, there were only 250 people who negative-split their marathon.\n", "\n", "Let's see whether there is any correlation between this split fraction and other variables. We'll do this using a ``pairgrid``, which draws plots of all these correlations:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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kyTxh0xgueVsAyXR0t2B37TSRDMCYZqiG4ZL2Z5SAbC9vWpQpbSR6zjKlZ2sx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tvstCElrCG3z+hYUd7+KEV9AmHxbmwOWlqkggxJVSAn43huij1TjmR225vEwxwF4WJLSaMd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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.PairGrid(data, vars=['age', 'split_sec', 'final_sec', 'split_frac'],\n", " hue='gender', palette='RdBu_r')\n", "g.map(plt.scatter, alpha=0.8)\n", "g.add_legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like the split fraction does not correlate particularly with age, but does correlate with the final time: faster runners tend to have closer to even splits on their marathon time.\n", "(We see here that Seaborn is no panacea for Matplotlib's ills when it comes to plot styles: in particular, the x-axis labels overlap. Because the output is a simple Matplotlib plot, however, the methods in [Customizing Ticks](04.10-Customizing-Ticks.ipynb) can be used to adjust such things if desired.)\n", "\n", "The difference between men and women here is interesting. Let's look at the histogram of split fractions for these two groups:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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gpp/XYi8TMJqY51lQhZZNruJ+KIlcnOaAi2xelWbfCFEPRhyBr1q1ilWrVlWq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\nqFP/D5OrvJFFPsHRAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.kdeplot(data.split_frac[data.gender=='M'], label='men', shade=True)\n", "sns.kdeplot(data.split_frac[data.gender=='W'], label='women', shade=True)\n", "plt.xlabel('split_frac');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The interesting thing here is that there are many more men than women who are running close to an even split!\n", "This almost looks like some kind of bimodal distribution among the men and women. Let's see if we can suss-out what's going on by looking at the distributions as a function of age.\n", "\n", "A nice way to compare distributions is to use a *violin plot*" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.violinplot(\"gender\", \"split_frac\", data=data,\n", " palette=[\"lightblue\", \"lightpink\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is yet another way to compare the distributions between men and women.\n", "\n", "Let's look a little deeper, and compare these violin plots as a function of age. We'll start by creating a new column in the array that specifies the decade of age that each person is in:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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agegendersplitfinalsplit_secfinal_secsplit_fracage_dec
033M01:05:3802:08:513938.07731.0-0.01875630
132M01:06:2602:09:283986.07768.0-0.02626230
231M01:06:4902:10:424009.07842.0-0.02244330
338M01:06:1602:13:453976.08025.00.00909730
431M01:06:3202:13:593992.08039.00.00684230
\n", "
" ], "text/plain": [ " age gender split final split_sec final_sec split_frac age_dec\n", "0 33 M 01:05:38 02:08:51 3938.0 7731.0 -0.018756 30\n", "1 32 M 01:06:26 02:09:28 3986.0 7768.0 -0.026262 30\n", "2 31 M 01:06:49 02:10:42 4009.0 7842.0 -0.022443 30\n", "3 38 M 01:06:16 02:13:45 3976.0 8025.0 0.009097 30\n", "4 31 M 01:06:32 02:13:59 3992.0 8039.0 0.006842 30" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data['age_dec'] = data.age.map(lambda age: 10 * (age // 10))\n", "data.head()" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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3B0ql7VdmJimHP/zhD9oy27GxsfjHP/6B119/3aaCOQqpVD8ue3R0xEGSmI6rlKVwFTmd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\n93Xpn+rhERBg+x4errGWsjNr124En8/H8uXp8x/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "men = (data.gender == 'M')\n", "women = (data.gender == 'W')\n", "\n", "with sns.axes_style(style=None):\n", " sns.violinplot(\"age_dec\", \"split_frac\", hue=\"gender\", data=data,\n", " split=True, inner=\"quartile\",\n", " palette=[\"lightblue\", \"lightpink\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at this, we can see where the distributions of men and women differ: the split distributions of men in their 20s to 50s show a pronounced over-density toward lower splits when compared to women of the same age (or of any age, for that matter).\n", "\n", "Also surprisingly, the 80-year-old women seem to outperform *everyone* in terms of their split time. This is probably due to the fact that we're estimating the distribution from small numbers, as there are only a handful of runners in that range:" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "7" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(data.age > 80).sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Back to the men with negative splits: who are these runners? Does this split fraction correlate with finishing quickly? We can plot this very easily. We'll use ``regplot``, which will automatically fit a linear regression to the data:" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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TcZoUk0vGa7gu1BZyQiympfi7mU9P8x2ROkJBLzdpp1okziVwnVxuN1eT578n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\nTcS5qqGFN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.lmplot('final_sec', 'split_frac', col='gender', data=data,\n", " markers=\".\", scatter_kws=dict(color='c'))\n", "g.map(plt.axhline, y=0.1, color=\"k\", ls=\":\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apparently the people with fast splits are the elite runners who are finishing within ~15,000 seconds, or about 4 hours. People slower than that are much less likely to have a fast second split." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Geographic Data with Basemap](04.13-Geographic-Data-With-Basemap.ipynb) | [Contents](Index.ipynb) | [Further Resources](04.15-Further-Resources.ipynb) >" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }