{ "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" }, "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualization with Matplotlib and Seaborn\n", "\n", "We previously looked at an introduction to NumPy and Pandas, which are the two core Python libraries for handling data. Here we'll look at Matplotlib and Seaborn as visualization tools.\n", "\n", "Numpy is a core package for handling array-based data, and Pandas builds on NumPy to provide operations which work quickly on labeled data. Analogously, matplotlib is a core package which makes use of NumPy arrays for visualization, and Seaborn builds on Matplotlib to provide operations which work on Pandas data.\n", "\n", "Thus, we'll start with a quick intro to the basics of Matplotlib before moving on to show how Seaborn makes your life easier." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Matplotlib\n", "\n", "The [matplotlib](http://matplotlib.org) library is a powerful tool capable of producing complex publication-quality figures with fine layout control in two and three dimensions; here we will only provide a minimal self-contained introduction to its usage that covers the functionality needed for the rest of the section.\n", "\n", "Just as we typically use the shorthand `np` for Numpy, we will use `plt` for the `matplotlib.pyplot` module where the easy-to-use plotting functions reside (the library also contains a rich object-oriented architecture that we don't have the space to discuss here):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import print_function, division\n", "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we'll go through just the basics of using matplotlib to create visualizations in Python." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### The ``plot`` command:\n", "\n", "Basic plots can be created with the ``plt.plot`` command:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(np.random.rand(100));" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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8Y3yoBVM7JgleFZEE3Dx4nZLNO1SBKTJYpAdvsmgOHgSuuop/J18E39nZEL8C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\nUsGXSfAmBd/ezoc6FlHJIsaDD0XCAP8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"text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Plotting a function: $f(x) = \\sin(x)$\n", "\n", "Above we called ``plt.plot(y)``; we can also call ``plt.plot(x, y)``:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(0, 2*np.pi, 300)\n", "y = np.sin(x)\n", "plt.plot(x, y);" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Titles, labels, etc.\n", "\n", "The ``plt.plot()`` function is a real workhorse: you can use it for line plots, scatter plots, plotting of multiple lines at one time, etc. By adding other ``plt`` functions, you can add other plot elements as well.\n", "\n", "Here is how you can make a simple plot of $\\sin(x)$ and $\\sin(x^2)$ for $x \\in [0, 2\\pi]$ with labels and a grid (we use the semicolon in the last line to suppress the display of some information that is unnecessary right now):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "y2 = np.sin(x**2)\n", "plt.plot(x, y, label=r'$\\sin(x)$')\n", "plt.plot(x, y2, label=r'$\\sin(x^2)$')\n", "plt.title('Some functions')\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.grid()\n", "plt.legend();" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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DePPNNwFwOp3dmijnzp3L+++/z80338wrr7zCRRddxKpVq5g8eTILFy5k3rx5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\n8jnWeyzgMVr7WkOeThsqwfIDbX3eQmVJn0Sy0SehxpWBtbX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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Controlling lines and markers\n", "\n", "You can control the style, color and other properties of the markers, for example:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(0, 2*np.pi, 50)\n", "y = np.sin(x)\n", "plt.plot(x, y, linewidth=3, color='green');" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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OeNT6URbTqMyYtGkSUTFRANQuVpuWlVpaTpTztOiVuoUBjQfgJwl/Vb775Tt2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\nkeWJz5cUka8BjDGxQC/gW2A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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot(x, y, 'o', markersize=6, color='r');" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is much more that can be done with the simple ``plt.plot`` function; for help, take a look at the documentation using IPython's ``?`` functionality:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.plot?" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Other plot types\n", "\n", "Other plot types can be made using other top-level matplotlib commands:\n", "\n", "#### Errorbars\n", "\n", "We will now see how to create a few other common plot types, such as a simple error plot:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# example data\n", "x = np.arange(0.1, 4, 0.5)\n", "y = np.exp(-x)\n", "\n", "# example variable error bar values\n", "yerr = 0.1 + 0.2*np.sqrt(x)\n", "xerr = 0.1 + yerr\n", "\n", "# First illustrate basic pyplot interface, using defaults where possible.\n", "plt.figure()\n", "plt.errorbar(x, y, xerr=0.2, yerr=0.4, fmt='o')\n", "plt.title(\"Simplest errorbars, 0.2 in x, 0.4 in y\");" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Log plots\n", "\n", "Logarithmic scales can be used by calling ``plt.semilogx``, ``plt.semilogy``, and ``plt.loglog``:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(-5, 5)\n", "y = np.exp(-x**2)\n", "plt.semilogy(x, y);" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Histograms\n", "\n", "A histogram can be created using the ``plt.hist(x, bins)`` function.\n", "Here we'll also add some labels and grid lines to the histogram:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "mu, sigma = 100, 15\n", "x = mu + sigma * np.random.randn(10000)\n", "\n", "# the histogram of the data\n", "n, bins, patches = plt.hist(x, 50, normed=1, facecolor='g', alpha=0.75)\n", "\n", "plt.xlabel('Smarts')\n", "plt.ylabel('Probability')\n", "plt.title('Histogram of IQ')\n", "# This will put a text fragment at the position given:\n", "plt.text(55, .027, r'$\\mu=100,\\ \\sigma=15$', fontsize=14)\n", "plt.axis([40, 160, 0, 0.03])\n", "plt.grid(True)" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Two-dimensional arrays & images\n", "\n", "Two-dimensional data and images can be plotted using ``plt.imshow``:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(np.random.rand(5,10), interpolation='nearest', cmap='Blues');" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Images can be shown in very flexible ways. For example, it can even handle RGB tuples at each point:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "img = plt.imread('images/stoplight.png')\n", "img.shape" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "(387, 310, 3)" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.imshow(img)\n", "plt.xticks([])\n", "plt.yticks([]);" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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1LC7uZnVpOSK0IZAZS/B+MlFNaEaTaDIECxL466/+Fe9+xzt55OFHImimwjgE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\nT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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Subplots\n", "\n", "Let's create some subplots and plot the R, G, B channels in the image separately" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1, 4, figsize=(10,6),\n", " subplot_kw=dict(xticks=[], yticks=[]))\n", "\n", "for i, cmap in enumerate(['Red', 'Green', 'Blue']):\n", " ax[i].imshow(img[:,:,i], cmap=cmap + 's_r')\n", " ax[i].set_title(cmap)\n", "ax[3].imshow(img)\n", "ax[3].set_title('RGB');" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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oae4CUYmb0m1iCHIhJGeipslv/Az5oVlsmtB6/FH6f/WNyMozn+3bdNyjq5cx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F5ik2CmTVW1g/+ePGpcAabupj+1CIMDEd/57XcO+/+z0G1iGpk5uwrNVtsKCYGv7f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\ntp/G3Wps0K6XTQ0PhNw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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### Simple 3d plotting\n", "\n", "Matplotlib is mostly designed for two-dimensional plots, but it also has some three-dimensional plotting capabilities.\n", "\n", "For 3D plots, you must import the 3D toolkit as follows:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d import Axes3D" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "One this has been done, you can create 3d axes with the `projection='3d'` keyword to `add_subplot`:\n", "\n", " fig = plt.figure()\n", " fig.add_subplot(...,\n", " projection='3d')\n", "\n", "Here is a simple 3D surface plot:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D\n", "from matplotlib import cm\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(1, 1, 1, projection='3d')\n", "X = np.arange(-5, 5, 0.25)\n", "Y = np.arange(-5, 5, 0.25)\n", "X, Y = np.meshgrid(X, Y)\n", "R = np.sqrt(X**2 + Y**2)\n", "Z = np.sin(R)\n", "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap='rainbow',\n", " linewidth=0, antialiased=False)\n", "ax.set_zlim3d(-1.01, 1.01);" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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RpDO3rFwsmQMMXdR//uY+4Lz+sMlChFstEHtCGTTNZDLgOE5UxbRXTPvEpXjF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\nFVuQcENXHLi0QPi7dcRVUOkqCZeGnspdtFed2mW1ygWA1nM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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Finding More: The Matplotlib Gallery\n", "\n", "There is much, much more that matplotlib can do: we've just scratched the surface here. For more info, check out the [matplotlib documentation](), and especially the [matplotlib gallery](http://matplotlib.sourceforge.net/gallery.html)\n", "\n", "One of the most useful ways to learn how to use matplotlib is to search the gallery for a plot that you're interested in, and then load the code using IPython's ``%load`` magic. Then you can run, modify, and experiment with the code:" ] }, { "cell_type": "code", "collapsed": true, "input": [ "# %load http://matplotlib.org/mpl_examples/pie_and_polar_charts/polar_scatter_demo.py" ], "language": "python", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Seaborn\n", "\n", "Matplotlib is a useful tool, but it leaves much to be desired. There are several valid complaints about matplotlib that often come up:\n", "\n", "- Matplotlib's defaults are not exactly the best choices. It was based off of MatLab circa 1999, and this shows.\n", "- Matplotlib is relatively low-level. Doing sophisticated statistical visualization is possible, but often requires a *lot* of boilerplate code.\n", "- Matplotlib is not designed for use with Pandas dataframes. In order to visualize data from a Pandas dataframe, you must extract each series and often concatenate these series' together into the right format.\n", "\n", "The answer to these problems is [seaborn](http://stanford.edu/~mwaskom/software/seaborn/). Seaborn provides an API on top of matplotlib which uses sane plot & color defaults, uses simple functions for common statistical plot types, and which integrates with the functionality provided by Pandas dataframes.\n", "\n", "Let's take a look at seaborn in action. We'll start by importing seaborn, which by convention is imported as ``sns``.\n", "\n", "We can set the seaborn style as the default matplotlib style by calling ``sns.set()``: after doing this, even simple matplotlib plots will look much better.\n", "Let's look at a before and after:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = np.linspace(0, 10, 1000)\n", "plt.plot(x, np.sin(x), x, np.cos(x));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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3z+Dq/auipWiGcvHkzYErB1CldBU0rNxQtBTNCA+3TaHCwnBgDgj0DJRqAdW7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\nf2Q+UtJTREspNnsv78WVe1cQ7BX852t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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "import seaborn as sns\n", "sns.set(color_codes=True)\n", "plt.plot(x, np.sin(x), x, np.cos(x));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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GmRXNWw5USiRvgKdLzmMzWnlv7APmVw9+DeaNiyMEVoI892DxkfQtPyiPNedR5ErnYscM\ng1NHV9QnCHsZX5rk0+mr5FlyePQI25/ul81o5dnSp1gJrfL64NsH/vqexTXe/GSETIuBFx9R58Eo\nezHotXz9iQoiUZm//4XY+32QUiZ5m3RGvlLxHOFomB8P/OOBvva0d4X3ro7jsJp4+kzRgb72YdNo\nJH7jqSoA/va9PqKidaqgEFmW+VH/G8jIfLXyy2ikxPp4eqLgEXIsbj6ZuszU8syBvvb/+GCQYDjK\nrz1ejtl0MGeWH5WT1U6qCm20DHjoHPEpHU7SSKy7Y59OuJopt5bQ5ulkcGHkwF73H345SCQq840n\nK9HrtAf2ukelqtDGmTo3w9NLfNp5sB86gnC3Wj2d9C8M0eiopSa7Uulw7plWo+Wl8meRkfnp4FsH\n9rrD0wEud89RkpPBgw05B/a6R0WSJH79fCUS8Or7/WJ3ywFJqeQtSRIvVjwLwGuDbx3I1rGBiUVa\nBjxUFVg5UeXY9+sp5WvnytFpJV77eFh0XhOOXDga5icDb6KRNLxU8SWlw7lv9fYaKm1ldHh76PPv\nv45ElmX+x1Y9yq89Xq76IrVbKc7J4JGmXCbnV8TZCgckpZI3QJm1hGZHPUOLI7R7uvb1Wps31uY6\nzlcfL1ddE4l7YbeaeOJ4AZ7FdT5smVI6HCHFXJq+gmfNy6P5D+I2q3+nxq3EDRAG9j9A6Bz20T3q\np6Esm9qS7IMIUTEvPVaGXqfh9Ysj4mjiA5ByyRvg+fKnkZD46dDbRKL3/0fUPuSjb2KRYxUOKgvU\n0Vt4P557qBijQcsbF4dZDx5tu0chdQUjIX42/D4GjZ4vFj+pdDj7VpJZxAlXE6NL41yfa7vv14nK\nMv/wwSAS8GuPJ8YOltuxpRs5f6IA/9IGH9wQA4T9SsnknWNx82DuKWZWZrk8e+O+XiMqy/zow80b\n6yuPJU715+1kmg188VQhgdUQ7105+sMWhNT0q8lLLAYDnCt4GKvx6M+7PwxfLnsajaThzeH37rtx\ny9WeOcbnljlbn5MwW8Pu5JmzRZgMWt68NCIat+xTSiZvgGdLv4BO0vL2yPv3Nfq+1jvP+NwyZ+rd\nFCTJjQXwxdNFpKfpefvyGCvrIaXDEZLceniDd0Z/iUlr4qnix5UO58C4zA7O5JxkdnXuvkbfUVnm\njYsjaCSJFx4pOfgAFZJhNnBha4Dw82tigLAfKZu8s0w2zuadwrPm5epsyz39rrx1Y0kSvPBw6SFF\nqIw0o45nzhaxthHh/auibapwuD6YuMhyaIUnix7Foldnn+779XTJk2gkDT8b/vk9j76v984z6Vnh\nbL1btf3L79eFU0VYTDp+9ukYaxtiee5+pWzyBrhQ9ARaScvbo+/f083VOuBlYn6ZM7Vu3NnJdWMB\nPH4sH4tJx3tXx8XNJRyajUiQX4x/RJoujScLH1E6nAPnSLNzOucEM/c4+o7KMq9vDQ6eU9FxnwfF\nbNLxxdNFrG6E+cV1MUC4XymdvO1pWZzNPcncqodrs6139TuyLPPGJyNAct5YsDn6vnCqkJX1ML+8\nMal0OEKS+mTqMiuhVR4veIg0nTpPDduvp4vPb46+R+5+gNDa79keHOTaLYccoTKePFFAmlHLu1fG\n2QiJte/7kdLJG+BC8ZP3dHN1jfgZng5wsspJvjN51rp3O39y8+Z65/KYuLmEAxeOhvn52IcYNHoe\nL0i+UXeM02zntPsEMyuztM7f+VRDOTbqBr70UMmhx6cUs0nHkycKWFoN8XGrqDy/HymfvB1p2Zx2\nn2B2dY52T/cdfz426k7mGwvAbNJz/mQhS6shse9bOHBXZm6wsLHIw/lnSDck5+gyJlaI997YB3fc\n990+5GN0dolTtS7yHEn+vpwqxKDX8PblMdEY6j6kfPIG+ELxOQB+PvbhbX+ub3yBvvEFmsrtFOck\nx5aW27mwdXO9e0XcXMLBicpR3h37JVpJy/nCx5QO59DlWFw0OeoZDYwzsHD7ozHfuTwGwLNnk3NJ\nbqdMs4Fzzfn4Ahtc6hBtme+VSN5ArsVNg72GocURhhZHb/lzqXRjAaSn6XmkMRdfYINrvfNKhyMk\niZb5DuZWPZzOOUGWKfGbG92NLxTdeYAwOrNE96ifupIsitzJPzgA+OLpQrQaiZ99NiYORbpHInlv\nOb91c70/9tGe35/1r9LS76E0N5PKgsQ4Y/ggPHWqEInNB5eD6AUvpDZZlnlv9AMkJJ7auudSQbmt\nhNLMYjq83UyvzO75M+9c2RwcPH06sU4m3I/sTBNn6tzM+FbpGBInjt0Lkby3VNrKKMrIp3W+Y8/z\nvn9+ZQKZzSfFRO5hfq/cWWaOVzkZmVmib3xB6XCEBDe0OMrY0gRNjjrcFpfS4Ryp2PLcXgMEX2Cd\ny11z5Dst1Jcmdg/ze3XhVCEA7209vAh3RyTvLZIkcb7oHDIyvxj/OO57K+shPm6fwp5p5GR14h6a\ncL++eHrz5nrnsuiIJOzPLyd+BcATSbiv+06aHHW40hxcmbnO4kYg7ns/vzpBVJa5cCq1BgcARe4M\naopsdI74mZhfVjqchCGS9w7HnY1km7K4NH2F5dDK9tc/bJkiGIpy/mQhWk3qvWUV+VbK8jJpHfAw\n41tVOhwhQfnW/bTOd5CfnkuFLTnOA7gXGknDk0WPEZYjfDR5afvraxthPmydxGoxcLYu8c7rPghP\nbY++xQDhbqVeJroNrUbLEwUPE4qGuDR1BYBwJMr71yYwGrQ81pyrcITKkCSJC6cKkYF3xc0l3KeP\nJi4RlaM8Ufhoyo0uY87knCBNl8bFyc8IRTe7F37cNs3aRoTzJwvQ61LzI7m5woErK41LnbMEVoJK\nh5MQUvMv5TbO5p7CoNHz8eTmB83Vnjn8Sxs82piL2aRXOjzFnKx2Ys808UnHNKvromWqcG82IkEu\nTn1Gut7CA65mpcNRjEFr4KHcUyyFlrkx10ZUlvnF9Ql0Wg2PH89XOjzFaCSJpx4oJByJ8oHo6nhX\nRPLexaxP41TOCbzrfjq9Pfzi+iQS8IUHCpQOTVFajYbHj+cRDEW52DGtdDhCgrk8c53V8BqP5p9F\nr03dh2CAxwoeRELio4lP6BrxMedf40yti/S01H5fHm7MwWzU8Ysbk6KvxF0QyXsP5woeAuCdoY8Z\nmFykocyedCf73I9Hm/PQaSV+eX1SbBsT7posy3wwcRGtpOXR/AeVDkdxjjQ79fYahgNjvNWyeWDJ\nkydTe3AAYDLoeLgxl8BKkOt9oq/EnYjkvYf89FzKraUMLw8imVZ4IoWns3bKNBs4VeNixrdKz6hf\n6XCEBDGwMMTMyizHXY1YjZlKh6MKsQHCUKiV0twMSnPF+wLw+PE8ADF1fhdE8r6FB91nAEgvmKSp\n3K5wNOrxxInNEcIvroubS7g7v5r6DIBH8s4qHIl61GRXkoYVTfYMDx1LrX3dt5Nrt1BbnEXP2AJT\nnpU7/0IKE8n7FlZm7chBI2RPEJJDSoejGuV5mRS50rnR78EXWFc6HEHlloMrtMy1k2N2UWErVToc\n1YhEZNanCpA0UTYyRpQOR1ViM51i9H17InnvQZZlPrwxQ9RTSJggV2dvKB2SakiSxJMnC4jKMh+J\no/yEO/h05iphOcLD+WdSdnvYXq72zLM6nYMGLZ/NXhU1JDscq3RgtRi42DHDRlAcR3wrInnvoX9i\nkUnPCnWZzUhIfLK151vYdKbWTZpRx4ctU6IqVLglWZa5OPkZOo2OMzknlQ5HVT5omYSInsbsBjxr\nXvoXBpUOSTV0Wg2PNuexthHms+69+8ALInnvKTZd88VjVdTZqxkJjDG1LI6sizEatDxUn8PiSpD2\noc/3gRcEgD7/IHNrHk66mrHoxW6NmGnvCv0Ti9SVZPFkyWbh2sWpywpHpS6PH8tDkuCXYur8lkTy\n3mVlPcTV3nlyss1UFdp4KO80AJ9Mi5trp0e3us193Cr2fAt7+9XUpwA8kn9G4UjU5Vdtm/fMo015\nlFtLcJtdtMx3sBISrYdjsjNNNJc7GJ1ZYmx2SelwVEkk710+65olHInyaFMukiTRaK8lQ5/O5enr\n2+0Mhc3DBIrdGbQNellY3lA6HEFlloLLtM53kmfJoTSzWOlwVCMciXKxfRqLSceJKgeSJPFQ3inC\n0TCXZ64rHZ6qPNq0OUCIPewI8UTy3uXjtmk0ksSDDZsHBGg1Ws7mPsBKeJW2+Q6Fo1OXR5tzicoy\nn3SIJQUh3qfTV4mIQrXPaRv0ElgN8WB9DnqdFoAzOSfRSlo+mbosCtd2aCy3k2nWc6lzhlBY1Nbs\nJpL3DmOzS4zOLNFUbseWbtz++oN5pwBE4douZ+vc6HUaPm6bFh86wjZZlrk0fRWdRsdp93Glw1GV\nj7d2aDzanLf9tQxDOk3OeqZWZhgJiDOtY3RaDQ815LKyHqZlwKN0OKojkvcOv2rfnJ55pCn+9DC3\n2Um5tZQefz+eNZ8SoamS2aTnZLWTWd8q/ROLSocjqMRIYJzZ1TmaHfWYRaHaNv/SBm1DXkpzMyh0\npcd97+FYbY0oXIvz8NZn8cdtYlvqbiJ5bwmFo1zqmCHTrN+zo1rs5ro0LUbfOz3atDmC+Fjs+Ra2\nfDpzFYCzuQ8oHIm6XGyfRpbjR90x1VkV2E1ZXJ1rZT0smh/F5DsslOdl0jnkE02hdhHJe0vLgIeV\n9TAPNeSi037+bTnuaiRNZ+LT6atEZbH+ElNdZMNpM3Gld461DVHQl+pCkRDXZluwGjKpya5UOhzV\niMoyH7dNYdBrOFPr/tz3NZKGs7kPEIwEaRG1NXEeacpFBi6K2po4InlviU3LPLxryjzGoDVwwtXM\nwsYifX7RUCFGI0k80phLMBQVDRUE2jydrIXXOZN7Eo0kPl5i+scXmF9Y51S1izSjbs+fOb3VyOYz\nUXUe53StG4NOw6/apoiK2ppt4u4CfIF1Ood8lOdlku+w3PLnTuecAOCzmWtHFVpCeLgxFwlE1bnA\np9Ob94boqBbvUufmvfFQ496DAwBHWjYVtlL6/YP41sWpfTFpRh0P1LiYX1inf3xB6XBUQyRvNvd2\ny2wmodspt5ZgN2XTMt/BeljsbY7JzjRRU5zFwMQicwtrSocjKGRhY5FuXx+lmUXkWFxKh6MaoXCE\nKz3zZGUYqS6y3fZnz+ScREbmyow4T2Ensef780TyZvOpWKeVOFV7+w8cSZI4k3OCYCRIq1iXivNg\n/ea++E87xeg7VV2euY6MzBlRqBanZcDL2kaYs/VuNHfY837c1Yheo+Ozmeti++UOlYU27JkmrvXN\nsxESh5WASN6Mzy0zMb9CU7kDi0l/x58/tTV1LrohxTtZ7cSg03CpY0Z86KQgWZb5dPoaOo2Ok65m\npcNRlUtby0kPbT3g3k6aLo0mRz2zq3OMLo0fdmgJQyNJnK13sx6M0Cr2fAMieW+vRT1Y//kK0L24\nzA7KrMX0+gdY2BB7m2PSjDqOVzmZ9a8xNB1QOhzhiI0tTezY252mdDiqEVjdPLynyJ1OvjP9zr8A\nnMndKlybFgOEnc5uPfxcErU1QIon72hU5rOuWcxG3Z57u2/ldM4JsS61h9gDkLi5Us+VrTPvT+WI\njmo7XemeIxKV72rUHVOTVUmGIZ1rsy2ExXkK2/IdFordGXQM+wisBpUOR3Epnbx7x/z4lzZ4oMa1\n3Wf4bpxwNaOTtHw2c01MEe9QX5pNplnP5e45cc53ConKUa7NtmLRmanNrlI6HFW51DmDJMHpurub\n2YPN8xROuY+zEl6l09tziNElngfr3USiMle655QORXEpnbwvdW7uS77bKfMYi95Mg6OO6ZVZJpZF\nZ7EYrUbD6To3y2shOoZEG9lU0ecfJBBc4rirEZ1m7z3MqWjGt8rQVID6kuy4sxLuRmyrnaitiXe6\nzo0kicJYSOHkHQxFuNo7hz3TSGXh7bdv7OW0KFzb00Nbp7F9Im6ulHF1tgWAB8QhJHFiy0exEwrv\nRX56LjkWNx3eHtbCYvtljC3dSF1xFoNTAWb9qX3+ecom75YBD+vBCGfrc+64fWMvdfZq0nRpXJ9r\nE+1Sdyh2Z5BrN9PS72F1XazXJbtQJETLfDs2o5VyW4nS4aiGLMtc6pzBqNdyotJ5z78vSRIPuI4R\njoZpm+8zaVqIAAAgAElEQVQ6hAgT19ntbamp3dExZZN37P/4s/ewFrWTXqPjmLOBhY1FhhZHDzK0\nhCZJEmfrcwhHotzon1c6HOGQdfp6WQuv84D7mGiHusPgZADP4jonqpwYDXdfT7PTSffmlrvYzIaw\n6UTV1rbUztTelpqSd9tSbPuG6+63b+wldnNdEzdXnNNbzW4ui6KSpHd1a8eFmDKPd3mrz/+Z+xwc\nwOa21KKMAnr8/SwHVw4qtIQX25Y6519jZGZJ6XAUk5LJ+1rvPJGovD39cr+qbOVk6NO5PtdGJCq6\n/sS4s8wU52TQNeJjeS2kdDjCIVkLr9Hu7SbH7KIg/fathVNJNCpzpXcOi0lHXUnWvl7rpLuZqBzl\nxnzbAUWXHG4OEFJ36jwlk/eVns0R4ama/fVf1mq0HHc1sRxaESeN7XKmdnNLx7VeMfpOVi3znYSj\nYU7lHEe6j7qRZNU/scDicpCT1c49jxe+F7FudWLqPF5DqZ00o44rPXMpe9JYyiXvxZUgPWN+yvMz\nsVtN+3697XWpOXFz7RR7MBJT58nr5pT5MYUjUZfY3/ypPc7tvldZJhvl1lIGF0bwr4sTtWL0Og0n\nKh34AhsMTaZmR8d9J++PPvqIp59+mgsXLvCDH/zgc9//7LPPOHnyJC+++CIvvvgi//k//+f9XnJf\nrvXOIctwqmb/NxZAmbUYm9FK63wHIdENaZvdaqIi30rPmJ/FZXECW7IJBJfo9Q9QmlmEI+3uuxMm\nu0g0ytXeOTLMemrucILY3XrAfQwZmetzYup8p9jDUapOne8reUciEb7//e/zyiuv8Oabb/Lmm28y\nOPj56eNTp07x2muv8dprr/E7v/M7+7nkvsU68+x3yjxGI2k46WpmLbxOt7f3QF4zWZyqdSHLcLVX\nVJ0nm5a5DmRkTrjFISQ79YwtsLQa4oFqF1rNwUxsHnc1opE0XJttPZDXSxZ1JVlYTDqu9M4Rjabe\n1Pm+/rra2tooKiqioKAAvV7Pc889x/vvv39QsR04/9IGfeMLVBZYycq4t45Ht7NddT4nbq6dTtW4\nkIDPUvTJOJnd2BoFHnc2KhyJulzu2vxbP32H44XvRYYhneqsCkaXxplbFSdqxei0Gk5WO1lcDtI/\nkXpLCvtK3rOzs+Tm3qwydbvdzM7Gf1BLksSNGzd4/vnn+a3f+i0GBgb2c8l9udY7h8zBjbpjijIK\ncKbZaZvvZCMiGubH2NKNVBfZGJhYxBdYVzoc4YAsBZfpXxiiNLOYLNPBTA0ng3AkyvW+eazpBioL\nDvZ9idUViNF3vNjy5+We1Kut2VfyvpsK07q6Oj744ANef/11vvWtb/G7v/u7+7nkvlzumUMCHjjg\n5C1JEifdxwhGQ7R7RDeknU5vr0ul3s2VrFrm2zenzF1i1L1T14iPlfUwp6pdaDQHW33f7KxHJ2nF\nlrFdaoptZJj1XOuZIxJNrU6X+zpFwO12Mz09vf3vmZkZ3O74QrD09JtNUM6dO8e/+Tf/hoWFBWy2\n2z+ZOp0Z+wntczwLawxMLNJQbqey1HGgrw3wBf2DvD3yPl2L3TzT8OiBv/5hOOj3eC8XHirlr9/r\n4/qAh9/8Uv2hX09tjuI9PmodHZsPqOdrH8RhVsd/nxre57af9wNw4cHSQ4gng6bcOq5PtRMyrZKX\ncTAFt/dCDe/xXh5pzudnl0aYXQzSXHXvrWgT1b6Sd0NDA6Ojo0xMTOByuXjrrbf40z/907if8Xg8\n2O12JEmirW3zqfFOiRtgfv5gO+e8e2UcgOPl9gN/bQCTnIHb7OT6VAcTM16MWsOBX+MgOZ0Zh/I+\n7KWuOIuOYR+d/XO4bGlHck01OMr3+KgsBZfpnOujNLMIeUXP/Iry/31qeJ9D4QiX2qfIzjSSbdEd\nSjz11lquT7Xzi55P+WLJkwf++rejhvf4VhpLsvjZpRHe/XSEvKz9b/9Vyr0+HO1r2lyn0/EHf/AH\nfPe73+W5557j2Wefpby8nFdffZVXX30VgHfeeYcvf/nLvPDCC/zJn/zJ55L7UbnSPYskwYnqg50y\nj5EkiePORkLREF2i6jxObJlCNGxJfC3zm1Xmx11NSoeiKh1DPtY2Ipyqcd3XQUd3o8lRh0bScGO+\n/VBeP1FVFdqwWgxc650jHEmdqfN9H7577tw5zp07F/e1l19+eft/f/Ob3+Sb3/zmfi+zL57FNQan\nAtQWZ2G1HN6I+JirkbdHf8GNuTaOi/XAbccrHfzl2xLXeud55kyx0uEI+7BdZS7+vuPEujaePoDG\nLLdi1pupyaqky9eLZ80r9tdv0WgkHqhx8f61CXrG/DSUpsb7khId1q72bO4zPnWA2zf2UpCeh8OU\nTYe3m1BE9PSOyTAbqC6yMTQVEFXnCWwpuEyff5DSzCKyTfvr2Z1MQuEorYMe7JkmSnIOd1049tB0\nY06Mvnd6oHpzrft6CvWUSI3k3TuHRpI4ccjFDJIkcczVyEYkSLev71CvlWhObt1c1/pS5+ZKNq1i\nynxP3aObU+Ynq52H3uO9yVEvps73UFmwWXV+vW8+ZRq2JH3y9gXWGZoKUF1kI9N8+EVk20/G4uaK\nc6LKicTmiW5CYoqN9sSUebzY3/RhDw4A0g0WKm1ljAbG8a37D/16iUKjkThe6SSwGmJgclHpcI5E\n0ifvG/2bHYmO4sYCKM4oJMtoo93TRVj0Ot9mSzdSXmClf3yBxRXRyCbRLAdX6FsYpERMmceJRKPc\n6PdgtRioKLAeyTVjD08t8x1Hcr1EEZs6v5oihbFJn7yv9x3dUzHEps4bWAuv0+tXrpucGj1Q5UQG\nboip84TTOt9BVI6KUfcufeOLLK+FOF7lPLQq892anQ1ISGLde5ea4izSjDqu980jp8AxoUmdvJdW\ng/SOLVCWl3mgvczv5NhWv+cWcXPFORFb906RJ+NkElsGEr3M48UKpE4eYXOQTEMGFbZShhZHWNhI\njSniu6HTajhWsXlM6MiMOvekH6SkTt4tAx6isnykNxZsHhNqNWTQ6ukkEo0c6bXVzGFNoyQng+7R\nBZbXRDV+olgLr9HnH6QwPQ97WrbS4ahGVJa53j+PxaSj+oCO/7xbx8TU+Z5Saeo8qZP39SMsJNlJ\nI2lodjayElqlf2HoSK+tdg/UuIjKMjf6xdR5ouj09BCRIzQ7G5QORVWGpwP4lzY4VuFApz3aj9Jj\nW/9fiNm9ePWl2Rj1Wq71Jv/UedIm77WNMJ0jPgqcFtzZ5iO//nHX5s0lqs7jbW8ZE1XnCaPF0wkg\nkvcu21Xm1UffT9tmtFJmLWFgYZhAMPmniO+WQa+lsdzOnH+NyfkVpcM5VEmbvNuHvIQj8pGPumPK\nraWk6y3bhT7CJneWmQJnOl0jPtY2RDW+2oUiIbq8PTjT7ORajv4wDLWSZZnrvfMY9VrqS5RZSjjm\nbEBGFicZ7hJbJk32nhJJm7yPusp8N61GS5OjnqXgMiOBMUViUKsHqp2EIzKtAx6lQxHuoNc/wEYk\nSJOz/tAbkCSSifkV5hbWaCq3Y9BrFYmhybF5Sl/bfKci11erpnI7Oq0m6QtjkzJ5h8IRWge9OG0m\nCl3pd/6FQ9LkrAOgVdxccUS3tcTRulUQdUxMmceJJYaTCkyZxzjNdvIsOfT4B1gPi7bDMWlGHQ2l\n2UzMrzDrW1U6nEOTlMm7c8TPRjDCySqXoqOF6qxKDFrDZlvJJC+euBd5DguurDQ6hnyEwqIaX62i\ncpQ2TxcZhnRKMouUDkdVrvXNo9NqaCxT9hCMZmc94WiYLtGOOc6JFJg6T8rkvT1lruBTMYBBq6cu\nu5r5NS8zq8k9hXMvJEnieKWDjVCE7lHR4lGthhZHWQ6tbPfTFjbN+FaZnF+hoTSbNOO+D2bclyan\nmDrfy7FKBxpJ2s4FySjp7shINEpLvwdruoGyvEylw6FZ3Fx7Ol65+WAVa18rqE9sylxUmcdTup5m\np8L0fLKMNjq83aKnxA7paXqqCq0MTQVYWN5QOpxDkXTJO9au8ETl0bUrvJ16ew0aSUOrRyTvnSry\nraSn6Wnp32ykI6iLLMu0zndg0pqozipXOhxVudE/jyRtju6UJkkSTc561sLroqfELse2BggtSVoY\nm3TJ+7qCey/3YtGbqdg6BUi0MrxJo5E4VuFgcSXI8FRA6XCEXSaXp/Gu+6m3V6PTKDs1rCaLK0GG\nJgNUFthIT9MrHQ4AzVtV56IwNt7xrYerliSd3Uuq5C3LMi0D86QZdVQXHm27wttp3t7SIfZj7hS7\nucTUufqIKfO9tQ54kLn5t6sGFbZSzLo02jydojB2B6ctjQKnha4RP+vB5OspkVTJe3xuGW9gY3uf\nn1o0Oja3jLWJqfM4daXZGHQa0SpVhVo9negkLfX2aqVDUZXYKE4NU+YxWo2WBkctCxuLjC1NKB2O\nqhyrdBKOROkc9ikdyoFTT4Y7ALG1DTU9FQPY07IoTM+jzz/IWnhN6XBUw6jXUl+azbR3lZkk3o+Z\naDxrXiaXp6nOrsSkMykdjmpshCJ0jvjIc1hwZx19y+XbaRYNW/aUzLN7SZW8b/R70GokGkqV3Xu5\nlyZnPRE5Qqe3V+lQVOXY9s0lRt9qEVs7je2UEDZ1DfsIhaMcq1DX4ACg1l6NXqMThbG7lORkkJVh\npHXAQySaXG2qkyZ5+wLrjM4sUV1kw2xSX4FNbO1QPBnHa65wIEnJ+WScqFrnO5CQtttvCptuqHRm\nD8CoNVCTXcn0yixzq+JeipGkzcLYlfUwAxPJVTCcNMm7ddALoMqnYoA8Sw52Uxad3h5C0eQrnrhf\nmWYDlflWBicWCawElQ4n5S0HVxhaHKXUWkyGQbnWwmoTjW724s+0GChVQf+IvTQ5tgYIYvQdJ1mn\nzpMmeW8Xkqg0ecf2Y65HNuj3Dyodjqocq3QigzioRAW6fL3IyDQ6apUORVWGpgIsrYY4VmFXRf+I\nvTQ6apGQxOzeLtVFWZgMWm70J9cZ30mRvNeDYbpHfRQ403HY0pQO55a292OKJ+M4x6uS88k4EXV4\nugFosIvkvVOsJuNYhTr6R+wlw5BOmbWEocVRloLLSoejGnrdZg/6+YV1Jj3Jc8Z3UiTvzmEf4Yis\nyrWoncqsJVj0Ztrnu5LqCXC/3Flm8h0WOkd8bARFi0elRKIRunx9ZJuyxNndu7QMeDDoNNSVZCkd\nym01OeuQkenw9igdiqok49R5UiRvNe693ItWo6XeXsNiMMD40qTS4ajKsUoHoXCUzpHk24+ZKIYW\nR1gLr9FgrxVnd+8w41tl2rtKfWm2Ymd3363YjEmHRzSE2qmxfHO5oyWJdrUkfPKORKO0DnqxpRso\nzslQOpw7ijVsaRc3V5ybB5Ukz82VaGKjtQZHjcKRqEuiDA4A3GYnzjQ73b4+URi7g8Wkp7rIxvD0\nEv6l5DioJOGT9+BkgOW1EMcqHKotJNmpNrsSjaShw9utdCiqUpKbgS3dQOuAl2hULCkoocPTjUGj\np8omDiLZ6Ub/PBLQXK7+5C1JEo2OOjYiQVEYu0vs4StZDipJ+OSdSE/FAGm6NCptZYwtTYqDSnbQ\nSBLNFQ6W10IMiYNKjpxn68z56uwK9Fp1HLihBoHVIAOTi5QXWMm0GJQO567EdgqIAUK840nWECrh\nk/eNAQ9GvZbaYnUXkuwUmzqPVfYKm5orkuvJOJF0eLamzEWVeZy2AS+yDMdVugV1L+XWUtJ0Jto9\n3aIwdgeHNY1CVzo9o37WNhJ/SSGhk/e0d4VZ3yoNpdnodeouJNkp9gHZLpJ3nNriLPQ6Da2DInkf\ntdgord4u1rt3ij1IJsrMHmwWxtZlV+Nb9zO1MqN0OKpyrMJBOCLTNeJXOpR9S+jknYg3FoDTbCfH\n7KLX308wIrqKxcRmUCbnV/AsiANcjsp6eLNxUEF6Hlkm9Rylq7RgKELHsBd3tplcu0XpcO7JzcJY\nMUDYKTa7lwwDhIRO3jf6PUjS5jaARNPoqCMUDdPrH1A6FFW5eXN5FY4kdfT6BwjLERrEqDtO96if\nYCiq+v4Re6mzV28WxopdLXFKcjPINOtpG/QSTfAlhYRN3oHVIIMTi1TkW8k0J0YhyU4NDjF1vpfm\nrQcx0Sr16Gx3VRMtUeOo/byE27HozZRZixkJjItuaztoJImmcgeBlSCjM0tKh7MvCZu82wa8yCTe\nlHlMaWYRFp2ZDlFUEic700SRK52eMT/rwcQvKlE7WZbp9HaTrrdQnFmodDiqIcsybYMeLCYd5fnq\nPIjkThodW93WxAAhTnNFcgwQEjZ5x9YsEvGpGLaKSmLd1pZFt7WdmraKSjqHE7+oRO3GlydZDC5R\nb69BIyXsx8GBm5hfwRfYoKHMjlaTmO9Lo11sGdtLXUk2Wo1E60BiL80l5F9lOBKlc9iH02YiJ9us\ndDj3rVFMne9p+8k4CYpK1K5za4uYqDKP17b1t9ecgPU0MW6LC1eaQ3Rb2yXNqKOmyMbobGJ3W0vI\n5N0/vsB6MEJTuSOhezDX2atEUckeSnMzk6aoRO3avd1oJA212VVKh6IqrQNeJAkayhI3ecNmHYPo\ntvZ5TVsztm0JPEBIyOQdKySJjdASVZoujQrRbe1zdhaVjEwndlGJmgWCS4wGxim3lmDWq/co3aO2\ntBpkcGqzGDY9LbG7zYktY3u7WRibuFPnCZm82wa9GPVaqgsTp6varcSmzmPTl8KmZCkqUbNOby8g\nqsx36xjyIcvQlMBT5jHl1hLSdGm0e8QxxDu5sszk2s10jfgIhhLzGOKES96z/lVmfKvUlWx240p0\njfatJ2OvmDrfqa4kG51WEuveh2h7i5hoiRon9jfXnKDFsDttdlurwr+xILqt7dJc4SAYjtIzlpiF\nsQmX/dq2pjmS4akYbnZb6/ENEIyElA5HNdKMOqqLshibXU7oohK1CkfD9Pj6cKTZcZudSoejGpFo\nlI4hH/ZMI/mOxOqqditi6nxviT51nnjJe+upuCkBjue7Ww2OWkLREH2i21oc0bDl8AwsDLMe2aDR\nXpvQRZ8HbWBikdWNME0ViV0Mu1O96La2p4oCK2ajjtZBT0IuKSRU8l4PhukdX6DIlU5WhlHpcA7M\nzSdjcXPttN0qVSTvA9fp3doi5hBbxHbaLoZNkpk9ALPeTLm1RHRb20Wr0dBYbscX2GBifkXpcO5Z\nQiXvrhE/4Yi8XeafLLa7rXl7EvIJ8LA4bWnkOyx0jfrZSNCiErXq8HRj1BqosJUpHYqqtA16Meg0\n1BQlfjHsTg2O2s1ua15RGLtTIs/uJVTyjr3ByfRUDLFua9UsbCwysTyldDiq0lRhJxSO0j2amEUl\najS7Os/cmoea7Cr0Gp3S4ajG/MIaU54VaouzMOgT54jhuxErSuwU695xGsrsSFJiNoRKmOQtyzJt\nQ17S0/SU5iZmr+HbiW3X6RBbxuI0b9U2tCXgk7FadYoq8z21bU2ZJ9vMHoDb7MRhyqbb108kKmax\nYtLT9FTmWxmaDBBYTazjmRMmeY/NLrO4HKSxzI5GkxyFJDvVZlchIW2vRQqbyvMzsZh0tA56xZLC\nAYlNnYqWqPGSdWYPQJIk6h21rEfWGVwcVjocVWmucCAD7Ql2DHHCJO+bey+T78aCnUf4jbEcTLzi\nicOi1WhoKrfjX9pgbFYU2+zXWnid/oUhijIKsBozlA5HNTaCEXrGFihwppOdaVI6nEMRe1gT697x\nYjMtrSJ5H462QS8aSaKhNFvpUA5Ng32zqKTL16t0KKoiqs4PTo+vn6gcpUGMuuN0jfoIR6JJOzgA\nqLKVYdDoRTfHXfLsZhxWE53DXsKRqNLh3LWESN6BlSDDUwEqC6yYTYnda/h2Ytt2xPm78RpKs9FI\nUsI9GavRdlc10RI1TqxRR3MS9Y/YTa/VU51dwczqHJ41n9LhqIYkSTRXOFjbiNA/vqB0OHctIZJ3\n+5AXmc3K42SWZ8nBZrTS7esTRSU7mE16KgusjEwHWFxJrKISNYnKUTq9PWQY0inMyFc6HNWQZZm2\nQQ/paXrK8pKvGHanenHG955iMy4tCdRtLSGSd2zElUxd1fYiSRIN9hpWw2sMB8aUDkdVErWoRE3G\nliZYCi3TYK9FIyXErX8kxmaXWVgO0liWnZTFsDvFlktEYWy86sIsjAZtQh0Rqvo7OByJ0jnsxWE1\nkWc3Kx3OoYtNZ4qbK16sl30i3VxqE9uGKNa747Ul0UEkd5JlspFnyaHfP0gwImaxYvQ6DfUl2cz6\n15jxrSodzl1RffIemFhkbSNCc3ny9Bq+naqsCnQanVj33iXXbsZpM9Ex7EuoohI16fB2o5W01GRX\nKh2KqrSmQDHsTptnKYTpFWcpxNkeICRIYazqk/fNxgnJvd4dY9QaqLSVMbUyg389cYonDpskSTSX\nO1gPJlZRiVosbCwyvjRJpa0Mky45t0Ldj1Qpht1JbBnbWyx5J0phrOqTd+ugB4NeQ02RTelQjkzD\ndlGJuLl2ij3AJcrNpSaxZRhRZR4vVYphdyrNLMKsS6PTI85S2MmWbqQ4J4O+8QXWNsJKh3NHqk7e\ncwtrTHtXqSvORq9Lrl7Dt9PgiBWViKnznaoLszDqtSJ534fY3l7RVS3ezVPEkn+9OyZ2loJ/Y4Hp\nlVmlw1GV5nI7kahM57D6t9KpOnnH1h6akrBd4e040uy4zS56fQOEIiGlw1ENvU5DXUkWs77VhCkq\nUYNQNEy3vx+32YnLnDpJ6k52FsPmpkAx7E43p87FAGGn7YZQCVAYq+7kvb1FLLWSN0C9vZpgNET/\nwpDSoahK7OZKlKISNRjwDxGMBMWoe5f+FCuG3akuuxoJSRyEtEtxTgaZFgPtg16iKl9SUG3yXg+G\n6RnzU+hK3l7DtyPWvfeWaEUlatC+NbpqFOvdcbYPIkmh9e6YdIOFkswihgOjrIbELFaMRpJoKrMT\nWA0xMr2kdDi3pdrk3T3iJxyRU3LUDVBuK8GkNdLp6RZFJTskWlGJ0mRZpsPTjUlrotxaqnQ4qtI2\n6MWg11CdQsWwOzU4aojKUbp9fUqHoiqJ0lNCtck7FQtJdtJpdNRkV+FZ9zG7Oq90OKqSSEUlSptd\nncO77qPWXoVWkzpFn3cy69+sm6gvSa1i2J3ElrG91Zdmo9Wo/ywFVSZvWZZpH/KmRK/h26kXrQz3\nlEhFJUpr32r202gXU+Y7tQ2kbj1NTEF6HlZDJl3eXqKyaHwUk2bUUVVoY3RmiYXlDaXDuSVVJu/h\nqQD+pQ0aUqDX8O2IJ+O9JVJRidI6vT1ISNTZq5UORVViU6LJfl7C7UiSRL29huXQCqOBcaXDUZXm\n7alz9Y6+VZm8r3TPAKk7ZR5jNWZQlJHPwMIQa+F1pcNRjUQqKlHSamiVwcURSjILyTCkKx2OaqwH\nw/SOL1DkSicrw6h0OIq62VNCDBB22p7dU/GuFlUm76tds5u9hstSo9fw7dTba4nKUXp8/UqHoiqJ\nUlSipG5fH1E5un0MpLBpuxg2BavMd6vOqkQracXs3i7ubDPurDS6RvyEwupcUth38v7oo494+umn\nuXDhAj/4wQ/2/Jk//uM/5sKFCzz//PN0dXXd8TV7x/xU5GdiSZFew7cj1r33tl1UkkDn7x61do9o\nibqX7SOGy1J7Zg/ApDNSaStjfGmSxY2A0uGoSlO5g41QhD6VnqWwr+QdiUT4/ve/zyuvvMKbb77J\nm2++yeDgYNzPfPjhh4yOjvLuu+/y/e9/n+9973t3fF1ZhqYUOJ7vbhRnFpCut9Dp7RFFJTtsF5XM\nLuFfUm9RiVKicpQuXw82o5WC9Fylw1ENUQz7efVi6nxPsf3/ap0631fybmtro6ioiIKCAvR6Pc89\n9xzvv/9+3M+8//77vPTSSwA0NzcTCATweO78ZqRyFehOGklDvb2GQHCJiaUppcNRldi6VPuQGH3v\nNhIYYyW0Sr29JuW6h93O+NyyKIbdpUEUxu6pqtCGyaClddCjyl4b+0res7Oz5ObefKp3u93MzsY3\nup+bmyMnJ2f73zk5OczMzNz2dV1ZaeQ7LPsJLamIPsR7i1WEqvXJWEmxtpcNoiVqnFRuuXwrLrMT\nV5qDHl8f4ahofBSj02qoL81mfmFdlWcp6Pbzy3f7RL/7qeVOv/dwcz4ul5jSinnUeoK/6Po7+hb7\n+bbzKwf2uk5nxoG9lhKczgzynRa6R/3YssyqbLah1Hvcc60XvUbHw1XHMemSv6L6bt/n7rEFNBI8\nfqqYDLPhkKNKHA8UNPJW/y/xMEujc+8HvkT/vLgfjxzL51rvPIMzyzTV5Nz5F47QvpK32+1menp6\n+98zMzO43e64n3G5XHEj7b1+ZrfffKaW+XmxBWinMmsxA74RhianD2Tbj9OZkRTvcX1JNu9eGedX\n18dpKFXXaEqp99i/vsDo4iR12dUs+YMsETzyGI7S3b7Py2shekZ9lOdbWV/ZYH1F1ErElFnKgV9y\ncfA6OZr8z30/WT4v7lWJa/Oz9pPWSR6pv33e2q97fTja17R5Q0MDo6OjTExMEAwGeeuttzh//nzc\nz5w/f57XXnsNgJaWFjIzM3E4bl+MptepcgebohrstcjIdHl7lQ5FVW5OnYt175jY8oqoMo/XPuRF\nlm/+zQg3VdjKMGgNYmluF6vFQGluBv0Ti6yuq2tJYV9ZUqfT8Qd/8Ad897vf5bnnnuPZZ5+lvLyc\nV199lVdffRWAc+fOUVhYyFNPPcUf/uEf8q//9b8+kMBTjdgytrfKWFHJgDqLSpQg1rv31r693i12\nsuym1+iozapkbtXD3KqoIdmpqdyxeZbCiLrOUtjXtDlsJudz587Ffe3ll1+O+/cf/uEf7vcyKS/X\n4ibLaKPL10ckGhGHTGzRaTU0lGZztXeeae8qeSle6BiMhOj1D5BrcWNPE02OYqLRzS1iWRlGCpyp\n/TdyK/WOGlo9nXR6e3CZH1E6HNVorrDz018N0zrg4VSNS+lwton56QQhSRINjlrWwmsMLY4qHY6q\nxIAWJKYAACAASURBVEZSau5DfFT6/AOEoqHt8+CFTYNTi6ysh2kqt4utc7cgZvf2VuTOwGox0D7k\nJRpVz+yeSN4JpEHcXHtqLLcjIbaMwc29umK9O57YInZnmw198uj3D7IeFsV8MRpJoqncztJqiOFp\n9XShE8k7gVRllaPX6ETy3sVqMVCSm7lVVBJSOhzFyLJMh6cbsy6N0swipcNRldYBLzqthrpisZRw\nOw32GsJyhD7/gNKhqEpsdk9NZ3yL5J1ADFoDlVnlTK3M4Fv3Kx2OqjRX2InKMh3D6ioqOUpTKzP4\nNxaos1eLmogdfIF1JuaXqSmyYTSI9+V26rdmbETVeby6kix0WklVByGJ5J1gYmuZsYpiYVPs+NhU\n3jLWufU3US+qzOO0bbXPbRRT5ndUklm4dZZCr9i9sUOaUUd1oY2x2WXVnKUgkneCubnuLZ6Mdypy\np2NLV19RyVFq93YjIVFnr1Y6FFVp23qgE/u770wjaajNrmZhY5GJ5ek7/0IKuVkYq47Rt0jeCcae\nlk2OxU2vf5BgJHXXd3eTtopKltdCDKmoqOSoLIdWGF4cpdRaTLpebIWKCYUjdI36yMk248oyKx1O\nQmjcOmWswyMGCDvdPGVMHbN7InknoHp7NaFoSBSV7HJz6lwdT8ZHqcvbi4xMo9giFqd3bIFgKCqq\nzO9BbXY1GkkjZvd2cWWZyck20zXqIxSOKB2OSN6JKPYBLarO49VuF5Wo48n4KHWKLWJ7iv0tiCnz\nu2fWp1FuLWEkMM5ScFnpcFSlucJOMBSlZ2xB6VBE8k5EZdYS0nRpdHh7RFHJDiaDjpqiLMbnlvEF\n1pUO58hEohE6vb1kGW3kWg738IREIssybYNeTAYtlYU2pcNJKPX2GnGWwh62171VMHUukncC0mq0\n1GVX4Vv3M70ye+dfSCHNFanXbW1ocZS18BqNjlrRPWyHGd8qcwtr1Jdko9OKj7p70bg1g9Mups7j\nVBZYSTNqaR1U/iwF8RedoGLTo6KoJF7T9iljqbPuHZsyF1vE4omuavfPbXZhN2XT7d08S0HYpNNq\nqC+141lcZ8q7qmgsInknqLrsaiQk8WS8i9OWRp7DQveon2AoNT502r3d6DV6qrIqlA5FVWLJW+zv\nvnexsxTWI+sMLg4rHY6qxOonlN4yJpJ3gko3WCi1FjO8OMpyaEXpcFSlqdxOMBylZyz5u9B51nzM\nrMxSnVWBQatXOhzVWNsI0ze+QLE7A1u6UelwElKsp4RoCBWvsSx2loKyS3MieSewBlFUsqfYk7Ga\n+hAfllgbS1FlHq9rxEckKosp832otJVh0BpEq9RdMi0GSvMyGZhYZEXBsxRE8k5gYt17bxUFVsxG\nHW0DyheVHLZYS9QGsd4dJ/bg1lQhkvf90mv11GRVMrs6z8zSnNLhqEpz+eZZCp0KnqUgkncCy7Pk\nkGW00eUTRSU7aTUaGsqy8QY2mPQk75LCRiRI38Ig+em5ZJnEVqiYqCzTPuglw6ynNDdT6XASWsNW\nt7Xr0x0KR6IuTSpoCCWSdwKTJIlGRy1r4TWGFkeVDkdVUqHbWo+vn3A0LLqq7TI+u8ziSpDGMjsa\nsXVuX2I7GK5PieS9082zFHyKnaUgkneCi91cYl0qXkNZNpKU3OveseUSsd4dr3WrClisd++fzWil\nMCOfzvk+1sOp0/joTjbPUnBsnqUwpcxZCiJ5J7iqrAr0Gr1Y994lw2ygPM/K4OQiy2vJd4BLVI7S\n4e0mXW+hOLNQ6XBUpW3Qi0aSaCjNVjqUpNBgryESjdAjzlKIc7MwVpnZPZG8E5xBq6cmu4KZ1Tnm\nV5N3lHk/mivsyDK0DyXf+zK+NEkguESDvRaNJG7jmMBqkOGpwGbRoklsnTsIojB2b5tnKWgU2zIm\n7vok0LC15immzuPdPH83+ZK3mDLfW/ugFxlxEMlBKsoowGrMoNPbQ1SOKh2OamyepWBjYl6ZsxRE\n8k4CsQ9wccpYvAKnhexMI+2DXiLR5PrQafd2o5W01GRXKh2KqoiuagdPI2k4nttAILjE+NKk0uGo\nStN2t7WjHyCI5J0EbEYrBel59PsHRVHJDrGiktWNMIOTyhSVHIaFjUXGlyaptJWRpjMpHY5qhCNR\nOoa9OKwm8h0WpcNJKifyGgDoEAOEOE0Vyu1qEck7STQ4agnLoqhkt+YkPKhkuzGLmDKP0ze+wNpG\nhOYKhzhd7YA15WzWVoh173guWxq5drMiZymI5J0ktte9xc0Vp6Y4C71Ok1Tr3rHDaBrE/u44LVsP\naMe2RkPCwTHr06iwlTG2NMHixpLS4ahKc4VDkbMURPJOEsWZBaTrLaKoZBejXkttcRaTnhU8C2tK\nh7NvwUiIHl8/OWYXTrNY142RZZnWAQ8mg5bqItFt7jA0bvWUELU18ZQ6S0Ek7yShkTTU22tEUcke\nkumgkj7/AKFoSEyZ7zLlXWV+YZ2G0mx0WvGxdhjqtwtjxezeTuX5sbMUvEd6loL4K08iYj/m3rb7\nECt8/u7/3959B7d1X/kC/96LQhSSIFEI9t5JsUuiqGY1y5ZcpNhR4vXzJnKySmZfnteJs5mXTTKT\nmZ0kMzvzdjO7ky2OY8dOMl4riSXbkbS2ZaqLquy9iGInUUiwgqj3/UGCJmUVFgD3Ajyfv2IKuPfM\nDYBzf7/7+53jDZ4FQxu0uTxHIiz181PmhTRl7jN6hQ5Rci1aRtvhcDv5DkcwxCJPL4VZv/ZSoOQd\nRHLUmXOLSujOeAmNSoZ4nRKtPRbY7IHbwIXjODSaWqAQy5ESnsh3OIJS22kCA9oi5mt52mzYXHZ0\nWbr5DkVQ+NgyRsk7iMjFMmREpKJ3cgDjtuDZGuUNhelaOF1uNPfw18JvrQamhjBmsyBXkwURK+I7\nHMGYmLajc2AcaXEqhCukfIcT1Ghh7P1tSNWAgX93tVDyDjL5tKjkvvgspuAtnhkV6iK21K2WEXDc\nXDlc4lvpESkIEUnRYG7x6/NdoQtTSJEaF45OP/ZSoOQdZOi59/2lxaqglIlR3+XfRSXe1GhqAcuw\nyNVk8R2KoNxoHgZAW8T8QcyKkaPOhMlqhmHGyHc4glKYpgXHAY1+6qVAyTvIRCl0iFJo0TLWQYtK\nFmFZBhvSNBibtKHPMMV3OCs2aZ/C3Yk+pKmSoZAo+A5HMJwuN6pbDdCqZIilqmp+4Zk6b6C1NUv4\ne3aPkncQytfkwO6yo3PsDt+hCEphGn+lDNeq0dwKDhxtEbtHW58FVpsTRVRVzW/ytNlgwNDs3j0S\nokIRGRaChjv+6aVAyTsI0Z3x/eWnqsEyTEA+917oIkbPu5eo65jfIpZBU+b+Ei4NQ3J4Ijot3Zhy\n+G9rlNAxDIPCNA2mZ/3TS4GSdxBKi0iGTCRDo6k5YJ/v+oJSJkF6vAp3BicwMWPnO5xlc7idaBlt\ng06ugV6h4zscweA4DrWdJihkYmQlUFU1fyrQ5oIDt1Bnn8zxZxtiSt5BSMyKkafJgnl2DIPTw3yH\nIyiFaRpwmOv7HCg6LXdgc9mRr82hqeFFBs0zMI3Pojgriqqq+VmBbq5IUL2pmedIhCUnea6Xgj8K\nQtEnPkgVzFfgqjc28RyJsCy08Aug5E1T5vfnWbuwKTea50jWH70iCjq5Bs2jbXC4/LM1KhCESETI\nTozEgHEapnHf9lKg5B2kcjXZYBkW9SZK3ovFahTQqmRo6jbD6RJ+AxeO41BvaoZMJEN6RArf4QhK\nbacJDAOUZkfxHcq6wzAMCrR5sLvsaLd08R2OoHjqDfh66pySd5BSSOTIjEhD7+QAxmYtfIcjGHOL\nSrSw2lzo6B/nO5xHGpgawujsGPI0WRCzYr7DEYzJGTu65quqqUJD+A5nXfLU16ep86X8tWWMkncQ\n2zD/XKqBvlxLfH5nLPwtY3XzMyeFujyeIxGWuWI7VJiFT6mqJCglCjQYm6kN8SJalRxxWiVaesZg\nc/iulwIl7yBWQHfG95WVGAGphEVdp/CfezcYmyBiRMidL3tL5tRRFzHeiVgR8jU5GLdPUBviexSk\na+BwutFyd8xn56DkHcTUskgkhMaifawLVqdvF08EEolYhLxkNYZHZzAyNsN3OA80OjuGvqlBZEam\nQS6W8R2OYDicbjR0j0IXIUOshqrN8YkGCPfnmRGq7fRdCVlK3kFugy4PLs6FZnMb36EIysJzKQGP\nvj0/iAXUu3uJlp4x2OwulGTqaOscz7LVmRCzYno0d4+0WBXCFRLUdpjgdvum1gYl7yBXoJ17Vkp3\nxkt5iinUCrhUaoNx7v+zDZS8l6jpmBvNFGdQwRq+ycQhyIpMx8DUEEzWwG23620sy6AoQ4uJGQe6\nBn2zMJaSd5CLD42BWhaJJnMrXG7fLZ4INJFhIUiJCUdbr8VvLfxWYsZhRbulC4lh8YiUUfUwDzfH\noabDhDCFBOlxKr7DIfj85pJG30uVZM7dXNa0+2aAQMk7yDEMgw3aXFids+iwUKOSxUoytXBznCAb\nlTSZW+Hm3AszJ2TOncEJTEzbUZSuBcvSlLkQbJhvlkOze0vlJEUiRCpCdbvRJ2WqKXmvA7So5P4W\n7ow7hJe8PcV1PGUoyZya9vkp80yaMheKiBAVksIS0Gm5gxmHcBeA+ptELMKGVA0MFisGTd5v4ELJ\nex3IiEiFXCxHvbGJGpUsEqNRIkajQOMds0/3Y66Uw+1Es7kNWpkasUoq/enBcRyq240IkYiQmxTJ\ndzhkkQJdLtycmxbG3qNkvttdtQ8GCJS81wERK0KeJgtjNgv6p4b4DkdQijN0sDvdaOoWzmKbjrEu\nzLpsKNDl0WrqRYbMMxgZsyI/VQ2pRMR3OGQRqrZ2fwVpGohYZmHGyJsoea8Tn0+dU63zxT5fVOK7\n/Zgr5amqRlvElvKsMi+hVeaCE6uMhkamRpO5DU63k+9wBEMhkyA7MQJ3hycxOjHr1WNT8l4ncjXZ\nEDEiNFCXsSWSY8IQESpFbacJLjf/JR7dnBsNxmYoxQqkqpL5DkdQajpMYBkGBfPlbYlwzDUqycWs\nixbG3qvYR2trKHmvE3KxDJmRaeibGsTorO9K9gUalmFQnKnD9KwT7X38NyrpmxzAuH0C+dociFia\nGvYYm7ThzuAEshIjoJRJ+A6H3EfBfP39WmMjz5EIi6faWrWXZ/coea8jtOr8/jxT597+cq2Gp/96\nATUiWcJTTKeEVpkLVnpECkIlStQZG6lRySLqcBlSYsLQ1mvB9Kz3akpQ8l5HPItK6mjqfImshAgo\nQsSo6fDNfsyVqDM1QcKKkaPO5DUOoVnYIpZBjUiEimVYFGjzMGmfQvd4L9/hCEpJpg5ujvNqOWZK\n3utIpCwCyeGJ6LTcwYRtiu9wBEMsYlGYrsHohA09I5O8xWGYMWJoegRZkRkIEUl5i0NoZmadaOkZ\nQ1J0GNTh1KBFyIqi8gEAtcYGniMRFk8p3+oO783uUfJeZ4p0+XBzbtwaqOM7FEERwtR5rWHuWWFR\n1AbeYhCihjtmuNzcwp5ZIlyZkemQiWSoNTbyPoslJDEaBfRqBRrvjMLupZoSlLzXmeL5xHC9v4bn\nSIQlP0UDiZj1WR3i5agxNsxPPdIWscUWGpHQ827Bk7BibNDmzLezpR7fHgzDoCRDC5vDheYe7ywY\npuS9zmjlGsSHxqJ+pBUzDurx7REinevxPWCaxsio/0s8mq1j6J3sR2ZEGpQS6lHtYXe4UNdlRlSE\nHHFaJd/hkGUo0s1PnRto1flixV6e3aPkvQ4V6TbA5Xah0dzCdyiCwufUed38M0KaMl+qqXsUNrsL\nZdlRVG0uQORosiBhJbRl7B6pseFQhUpR2+GdmhKUvNehYs+iEgMtKlmsMF0DhvHuopLlqjE2ggGD\nQtoitsStNgMAoDSLpswDRYhIijxNFkZmDBieHuE7HMFgGQalmTpMWR1o67Ws/XheiIkEmGilHnHh\n0WgebcOs08Z3OIIRppAiKyECXQMTGJv033UZt02ge7wH6REpCJeG+e28QudwulHbaYImXIbkaLou\ngaRwfuq8hqbOlyjLigIA3Go1rPlYlLzXqc3xxXPdq0apC9BipZ4vV9vav1zLVWdsBAcORTqaMl+s\n+e4orDYXyrJ1NGUeYPI1ORAxooXHQWROZkIEwhUS3G43wu1e22p8St7rVHl8MQCaOr9XWZYODLxz\nZ7xcNUbPFrF8v50zEHhuoDyjFRI4FBI5stTp6JsahMkqnI59fGNZBiVZUZiccaC9b21T55S816mk\niHhoZWo0mlvgcHmvZF+gU4WGICMhAp39436ZOp+0T6FjrAsp4YmICFH5/HyBwulyo6bdhMiwEKTE\nhvMdDlmFhVXnNPpeomx+/cZaZ/coea9TDMOgKGoDbC47Wkbb+Q5HUDZmR4EDcNsPU+f1pqa5KXNa\nZb5Ea88YZmxOlGbpwNKUeUAq0OaBAYM6WnW+RFZiBELlEtxuM8K9hkI2q07eFosFR48exf79+/Hy\nyy9jYmLivq/bvXs3nn76aRw6dAjPP//8qgMl3ud5xkpbOpYq9ePU+UJVNXrevcSttrkV/zRlHrjC\npKFIj0jBnfEeWGz8d+wTChHLoiRTi/FpOzr7V39dVp28X3/9dVRUVODjjz9GeXk5Xn/99Qe+9ne/\n+x1OnjyJP/3pT6s9HfGBpPB4RISoUG9qhtPt5DscwYgIDUFGvAod/eOwTPlu6nzGYUXbWCcSQmOh\nlat9dp5A43K7Ud1uhEopRXo8PUoIZJ4ZJSrYslRZ9tpXna86eVdWVuLw4cMAgMOHD+Ps2bMPfC3V\nuBUmlmFRpMuH1WlF+1gX3+EIStnC1Lnv9nw3mJrh4lw0ZX6P9l4LpqwOlNCUecAr1m0AAwa3DdRL\nYbHsxEgoZeK5VeerzI+rTt5msxla7VyjAK1WC7P5/q3OGIbB0aNH8aUvfQnHjx9f7emIj3ima2sM\n9TxHIiylWVFgANz04dR59fw1L6Yp8yVoyjx4qELC56fO72Jsdu2FSYKFWMSiOEOHsUkb7gze/5Hz\nI4/xsH88evQoTKYvNmp49dVXl/w3wzAP3If57rvvIioqCqOjozh69ChSU1NRVla2qmCJ96VFJEMl\nDUetsRFfyToMMfvQj8S6ERkWgvR4FTr6LLBM2RARGuLV4884ZtAy2o740FjolZSkPNxuDrfbjQhT\nSJCZQFPmwaBUX4gOyx1UG+qxJ3EH3+EIRlm2DpcbhnCr1YD0uJV/1h/6S/3WW2898N80Gg2MRiN0\nOh0MBgPU6vs/s4uKmvthUqvV2LdvH+rr65eVvHU6qqjka55rvDWpFKc7zmHINYASPe019nisLAEd\n/eNoH5jAwW2pqzrGgz7HlXca4OJc2JG6iT7rizR0mTAxbcf+8iRE65f/g0bX0PdWe433hm3B8fYP\nUD/aiK+WHvRyVIFrR6QSv/6oGTWdJnznK8Urfv+qh1m7d+/GiRMncOzYMZw8eRJ79+79wmusVitc\nLhdCQ0MxMzODy5cv4zvf+c6yjm80Tq42NLIMOl3YwjXODc/FaZxDZUcVEiRJPEcmHNnzd8PnbvVh\n0ypqay++xvc633kNAJClzKbP+iKfXO0GABQkRy77ujzsOhPvWOs1zoxIQ+toB1p6e2hx5iKF6Vpc\nbRzG9foBlBfGr+i9q37mfezYMVy9ehX79+/HtWvXcOzYMQDAyMjIwv82mUx48cUX8eyzz+LIkSPY\ntWsXtm3bttpTEh9JDk+EWhaJemMT7FSwZYFn6ry9z4JxL646n7RPoW2sE8nhifRDtojT5cattrlV\n5lmJkXyHQ7yoVF8IAKimhWtLbJxfdX6zZeVra1Y98o6IiMBvf/vbL/xdr9cvbBtLSEjABx98sNpT\nED9hGAalUYX4tPc8ms2ttPp5kY1ZUejsH8etNiP2lK7szvhBagwN4MChNKrAK8cLFs13xzBldWBv\naTxYllaZB5NCXT7ebXsf1SN1eDxpF9/hCEZeihpKmRg3WlbefY0qrBEAn98Z36I74yXKsudWna/m\ny/Ugtw21YMCgZP6akznXm+eu8eZcPc+REG9TShTIUWeib2oQIzP+b7krVGIRi5JMHSxT9hW/l5I3\nAQDEh8YiSqFFo6mF2oQuEhkWgqzECHT0j8M0bl3z8Sy2cXRZ7iJVlUy1zBexO1yo6TBCq5IhlWqZ\nB6XSqPmp8xEaICy2aZU3q5S8CQDP1HkRHG4HGk3NfIcjKOV50QA+HxmuRbWhHhw4lNGoe4n6LjNm\n7S5sytFT+88gVaDLg5gVU8GWe2QnzrUJXSlK3mQBTZ3fX2mWDmIR45XkfXukDgwYFNPz7iU8jyVo\nyjx4ycUy5KmzMDQ9gsGpYb7DEQwRy+LFx7NW/D5K3mRBjFKPWGU0ms1tmHHM8B2OYChlEmxI1aDf\nOI1+w9Sqj2OyjuLuRC+yItMRJg31YoSBzWpzoq7LjBiNAvE6Jd/hEB8qoVXn9+VZdb4SlLzJEqX6\nIrg4F+qMTXyHIigLU+drWLjmedZXSlPmS9R0GOFwurE5l6bMg90GbS6krAQ3R2qp58UaUfImS3ie\nxd4cqeE5EmEpTNMgRCrCtaaRVf3ocByHGyPVEDMiFOmoit1iN+b3uG7OoSnzYBcikqJAlweT1Yzu\niV6+wwlolLzJElq5BqmqJLSPdVEjgUWkEhFKM3UwT8yia2DljQT6pwYxND2CfG0OFBKFDyIMTFNW\nB5q6R5EUHQa9mq7LerApuhQAcGO4mudIAhslb/IFm6JLwIGj0fc9yucXU11rXvliG88P1aboEq/G\nFOhutozA5eZo1L2OZM+v+ageqYPT7eQ7nIBFyZt8QUlUIcSMCDeGq+m51CI5yZEIU0hws9UAp8u9\n7Pe53C7cGqmFUqxAnibbhxEGniuNw2AYoDyPkvd6IWJF2KgvxrRzBk3mNr7DCViUvMkXKCUK5Gtz\nMDQ9gv6pQb7DEQwRy2JTth6TMw403x1b9vvaxjoxYZ9Esb6AWq4uMmSexp3BCeSlqL3ecpUIm2cG\niqbOV4+SN7kvz5fr+vBtniMRFs8I8VrT8qfObwzPPX7YTFPmS1TNX8OK/GieIyH+Fh8aixilHo2m\nZtqWukqUvMl95WmyoRQrcGukFi63i+9wBCM1Nhx6tQK3242YmX3087pZpw11xgZo5RqkhFO7VQ83\nx6GqcRgyqQjFGStvt0oCG8Mw2BRdAifnQrWhnu9wAhIlb3JfYlaMUn0hJu1TaB3r4DscwWAYBts2\nRMPhdONm66P3fNcZG2F3O7BJX0x7mBdp77XAPGFDWXYUQiQivsMhPNioLwYDhqbOV4mSN3mghanz\nIZo6X2xLXjQYAFcaHj117lmxv5GmzJe42jh37bbSlPm6FSmLQEZkGrrG78JkHeU7nIBDyZs8UHJ4\nIqLkWtSbmmB1zvIdjmCow2XITVGjc2AcQ+bpB75udMaC1tEOpIQnIkqh9WOEwmazu3CzzQBNuAwZ\nCRF8h0N45Bkg3KTR94pR8iYP5Hku5XA7UWNo4DscQdm6YW7E6BlB3s/5u1XgwKE8psxfYQWE6g4j\nbHYXtuRHg6VHCetasS4fElaCa8O34eaWv/2SUPImj+C5M742dJPnSISlJEMHeYgIVxuH4XZ/cS+8\nm3PjXHcVJKyEapnf42rDEABaZU4AmViGkqgCmKxmdFq6+Q4noFDyJg+lkauRHZmBrvG7GJ428B2O\nYEglImzK0WNs0obmni8+r+u0dGNkyoiSqALIxXIeIhQmk8WK5rtjSI9TIZrKoRIAFbGbAABXB2mA\nsBKUvMkjVcRuBABcHbrBcyTCsnVDDID7L1zz/BBtidno15iE7lL9EDgAOwpj+Q6FCESaKhlRCi1q\njfWYcVj5DidgUPImj1Sgy4dSrMD1odtUi3iRtPk939XtRkzPOhb+PuOwotZYj5jQKKRHpPAYobC4\n3RwuNwxBHiJaVf9iEpwYhsGWmI1wuJ24Rf0Ulo2SN3kkCSvGppgSTDmm0WBq4TscwWAYBtsLYuBw\nulG1aOHarZFaONxO7EqtoL3dizTcMWNs0obNudEIkdLebvK5zdFlYBkWV2ltzbJR8ibLUhHjeS5F\nU+eLbdsQAxHL4ELt4EITl6qhG2AZFjuTy3mOTlgu1s3Vyd9JU+bkHqqQMORrctA3OYC+yQG+wwkI\nlLzJssSGRiMlPAkto+0YnV1+U45gF66UoiRThwHTNDoHxtE/OYjeyQHkabIQKVfxHZ5gWKZsqOs0\nI1EfiqToML7DIQK0sLaGFq4tCyVvsmwVsZvAgUPV0C2+QxGUx4rmRpLnawYXFvVtmZ+pIHOuNAzB\nzXE06iYPlKvOgkoahpsj1bC7HI9+wzpHyZssW0lUAUJEUlQN3qSCCotkJ0VCHynHzfZBXBu6DZU0\nHPnUt3uBm+NwsW4QUjGLzbm0t5vcn4gVoTxmI6zOWdRQs5JHouRNlk0mDkGZvghjNguazK18hyMY\nDMNgZ1EcuIgB2Fw2bI3bDBFLC7I8WnvGYLTMYmN2FBQy6mdOHmxr7CYwYHBxoIrvUASPkjdZke1x\nFQCAi/305VqsIl8Pib4X4JiFxX1kzrnquQVIO4vieI6ECJ1GrkaeJht3J3rRO9HPdziCRsmbrEhC\nWCxSVcloHm2DYcbEdziCYXIOgVFMwjUWBYOBHil4mMdnUd1hRJI+DGlx4XyHQwLAjvi5AcKFgas8\nRyJslLzJiu2c/3JdoqmtBZ6ZCOdIIs7V0FYXj/O1A+A4YHdpHO15J8uSo86ATq7B7ZFaTDke3LVv\nvaPkTVasSJePMGkoqoZuwuay8x0O7ybtU6gx1CNaEYVoWQJutxkxNmnjOyzeOZwuXKgdRKhcgs05\ner7DIQGCZVhsj9sCh9uJa7Sz5YEoeZMVE7NibIsth9U5i1vDVM6wavAmnJwL2+O3YF9pAlxuDpXV\n9LzuRosBU1YHthfGQCqhBXxk+bbElEHCSnCpv4p2tjwAJW+yKtviNoNlWFwYuLpQWWw9crld/z3X\n0AAAFkhJREFUuDhQBalIis3RJdiSF41QuQQXagdhc7j4Do83HMfh7O1+MAywq5gWqpGVUUgU2Kgv\ngml2FM3mNr7DESRK3mRVIkJUKNTlY2BqaF334a0x1GPMZsGWmI2Qi+WQSkTYWRSLKasD52+v39H3\nncEJ9AxPoihdC62KWqKSldsRvxUAcK7vMs+RCBMlb7Jqu+K3AQA+67vIcyT84DgOn/VdBAMGuxO2\nLfx9V3EcWIbBR5e61u2sxKe3+gAAe0rjeY6EBKqEsFhkRqajdawDfZODfIcjOJS8yaqlqpKQEp6I\nBlMzhqcNfIfjd52WbvRODqBQlwetXLPwd3W4DGXZOvQMT6K1Z/3VgTdarLjZakBiVChykiL5DocE\nsD0J2wEAlet0gPAwlLzJqjEMg72JOwGszy+XZ8ZhT+KOL/zbvrIEAMAnN/v8GpMQfHKzDxwH7N+c\nSNvDyJrkarIQrYjCrZFajM1a+A5HUCh5kzUp0OVBJ9fg+nA1JuyTfIfjNyMzRjSaWpAcnoiU8KQv\n/HtanArZSZGo6zKj3zjFQ4T8mLI6cKl+EOrwEGzMjuI7HBLgWIbFnsQdcHNuXOinoi2LUfIma8Iy\nLHYn7IDT7VxXX65zfZfBgcOexB0PHF1+eU8mAODMtR5/hsaryup+2B1uPL4xEWIR/byQtduoL0aY\nJBSXB69h1jnLdziCQd8usmblMaVQShS41F+1Loq2TNgncW3oJjSySBRq8x74urIcPeJ0SlxvNsBo\nsfoxQn7YHS58drsfihAxdhTG8B0OCRISkQQ747fC6pzF1cEbfIcjGJS8yZpJRVLsiKvAtHNmXXy5\nKnsvweF2Ym/iYw/tHsayDA6UJ8HNcfifG71+jJAfVxuHMTnjwK6SOMik1D2MeM/2+HJIRVKc7b0I\nB/X6BkDJm3jJY/FbIRVJ8WnP+aD+ck05pnFh4CpU0nBsiSl75Os35URBq5Lhcv0QxqeDd1bC6XLj\n9LUeiEUsbQ8jXhcqUWJnXAXG7RO4OnST73AEgZI38YpQ6fr4cp3vuwy7y469STshEUke+XoRy+LJ\nzYlwON34NIhXnl9tHIZpfBY7i2IRERrCdzgkCO1J3AEpK8EnPefgcDv5Dod3lLyJ1wT7l8vqtOJ8\n/xWESpTYFrt52e/bVhCDcKUUldX9mLIG36yE0+XGX67ehVjE4kD5F1f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"text": [ "" ] } ], "prompt_number": 19 }, { "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 can create complicated plot types from Pandas data with relatively simple commands.\n", "\n", "Let's take a look at a few of the datasets and plot types available in seaborn. Note that all o 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", "Matplotlib provides simple tools to make this happen:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "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)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rather than a histogram, we can get a smooth estimate of the distribution using a kernel density estimation:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "for col in 'xy':\n", " sns.kdeplot(data[col], shade=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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SMLiJckzn7YFp1ixbo3wsFcZyAEB9H4ObKBkY3EQ55s4a5dk7h/tuhRoz9Aod6npvcFoY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\ni0PfYr77jhcrBrff76e2tjb72ufzMTw8vGidQCB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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Histograms and KDE can be combined using ``distplot``:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.distplot(data['x']);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ZdYkddosOZ670IpEU5S6HaFIMbspaVzoGEI4lsHGZAwLX3s56KkHA5honQtEE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\nZh+/uM7KcisutA7hp79uxt0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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we pass the two variables to ``kdeplot``, we will get a bivariate visualization of the data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.kdeplot(data[\"x\"], data[\"y\"]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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I8BaEZubKlUu8//7fsba25p13/omvr1+Dr5GSnsKH331EenYG7i7uPDn3cQbe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\nRzSOhHfb1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"text": [ "" ] } ], "prompt_number": 23 }, { "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", "collapsed": false, "input": [ "with sns.axes_style('white'):\n", " sns.jointplot(\"x\", \"y\", data, kind='kde');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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FuGFmJuIiA0WX5BB2RkSnaSmIeju/FromUpZOknDZmCRYZRkfbzwpuhyHMYyI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\njIiISDiGERERCccwIiIi4RhGREQkHMO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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are other parameters which can be passed to ``jointplot``: for example, we can use a hexagonally-based histogram instead:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "with sns.axes_style('white'):\n", " sns.jointplot(\"x\", \"y\", data, kind='hex')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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t5lgoEUTBiCAIYgWjhIAUyRZxrSyQps3VPw8C75goEUTBiCAIYgWzuBzQsczq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\nF9Ph1AnDE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"text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Pairplots\n", "\n", "When you generalize joint plots to data sets of larger dimensions, you end up with *pair plots*. This is very useful for exploring correlations between multi-dimensional 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", "collapsed": false, "input": [ "iris = sns.load_dataset(\"iris\")\n", "iris.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
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", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 26, "text": [ " 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" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualizing the multi-dimensional relationships among the samples is as easy as calling ``sns.pairplot``:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.pairplot(iris, hue='species');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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AnIG7ulnp1HOu1scZ/thu/eH49YU6mrdHAGy/q+y4BGXHJSgUEZ6qHoCeOjpqv6rq3wEA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OmIbIuxei3nbf8qd/vYtrvo7HGIzhrr9HG/BxYBEgnqSsssj11dR3RUV4itFMTOiNFoxIoVK5Ca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\nbXhjQb5yfwjrXv2VD0vTznDq/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/zmp/ZjfJeHrVq6bL9X2/zd6KmxfHDMca+Ebfy2vWvd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\n8JGR1euarM75mQXl58KE6AKICHIuTk+mXc53P1en1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NvxvWwKyOSRfZHUy5Ru+OXBiOVB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\nCy9g+PDhLu/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"text": [ "" ] } ], "prompt_number": 27 }, { "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 which shows the amount that restaurant staff receive in tips based on various indicator data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "tips = sns.load_dataset('tips')\n", "tips.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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total_billtipsexsmokerdaytimesize
016.991.01FemaleNoSunDinner2
110.341.66MaleNoSunDinner3
221.013.50MaleNoSunDinner3
323.683.31MaleNoSunDinner2
424.593.61FemaleNoSunDinner4
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 28, "text": [ " 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" ] } ], "prompt_number": 28 }, { "cell_type": "code", "collapsed": false, "input": [ "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), color=\"g\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ZWQCAI0eOAAAuXrwoOcamRRdtbW2Ij49HWloaRo/u+Z0HQRAgCEJ/ayUiIge1fPly7Nu3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\n8K233oK3tzcaGhoQExODiRM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"text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Factor Plots\n", "\n", "Factor plots can be used to visualize this data as well. This allows you to view the distribution of a parameter within bins defined by any other parameter:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "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\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Joint Distributions\n", "\n", "Similar to the pairplot we saw above, we can use ``sns.jointplot`` to show the joint distribution between different datasets, along with the associated marginal distributions:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "with sns.axes_style('white'):\n", " sns.jointplot(\"total_bill\", \"tip\", data=tips, kind='hex')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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49NJL8eijj2LDhg34xCc+gWeeeaYOSyMiorlu2pPQ9773PWzYsAFdXV0AgP37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\nRWlqahxwv2A4RjDU/3Mr6dAtpow93xI3oLUtnJG2AByqP2P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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The joint plot can even do some automatic kernel density estimation and regression:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.jointplot(\"total_bill\", \"tip\", data=tips, kind='reg');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jhaZpONwBfIEwBoM+3eFkLElGQgiRJKFwhDZXAFXV0OkG3xElLSMhhBDD4vGH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"text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Bar Plots\n", "\n", "Time series can be plotted using ``sns.factorplot``:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "planets = sns.load_dataset('planets')\n", "planets.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
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", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 33, "text": [ " 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" ] } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "with sns.axes_style('white'):\n", " g = sns.factorplot(\"year\", data=planets, aspect=2, kind=\"count\", color=\"b\")\n", " g.set_xticklabels(step=5)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can learn more by looking at the **method** of discovery of each of these planets:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "with sns.axes_style('white'):\n", " methods = planets[\"method\"].value_counts().index\n", " g = sns.factorplot(\"year\", col='method', col_wrap=2, data=planets, kind=\"count\",\n", " size=2, aspect=3, palette=\"Purples_d\",\n", " order=range(2001, 2015), col_order=methods)\n", " g.set_ylabels('Number of discoveries')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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BwcEaP3684uPjFR8frxkzZrgcpz7y9LxRTW5o2A/cBgAAAOqLCouxvLw8GWN0\n2223KSEhQaNGjZK7u7s2b96sXr16uRzQ19dXvr6+kiQvLy/5+/srKytLqampWrdunSQpPDxckZGR\nFGOoVjxHCQAAALWpwmLswQcfdLzeuXOn3nrrrXKfz5s3r9LB09PTdfDgQfXo0UO5ubmyWq2SLi0a\nkpubW+n2gZ9is9kUM3uNvG5sWeVtF57P09Jnorj9EwAAABWqsBi7/Gyx6lJYWKhJkyYpJiZGTZs2\nLfeZxWLhwdKoEV43tlSzpt61nQYAAAAaIKdzxo4cOaJ3331X+fn55bYvX77c5aAXL17UpEmT9MAD\nD2jw4MGSJB8fH+Xk5MjX11fZ2dny9uYPZAAAAFSMKQe43jktxqKiohQWFqbu3bs7tlVm1MoYo5iY\nGPn7+2vcuHGO7aGhoUpKStKECROUnJzsKNJQO/jlBgAAfq6a/vvBZrPphecS1aK5tcpjnc0/rckz\nRjLlANXKaTHWokULRUVFVVnAL7/8Ups2bVL37t01YsQISdK0adM0YcIETZkyRYmJiY6l7VF7bDab\nop6cryaeVb96Y1Fxoda8tJhfbgAA1DM2m03PLnlHzZv5VHnb+edyNWvemCv+fmjR3CrvVn5VHg+o\nCU6LsfDwcK1atUpBQUHy8PjP7r1793YpYK9evXTo0KGrfpaQkOBSm6geTTy9dOONPOsNAIDrUW3d\n5dK8mY9atmhdbXGB+sRpMZaWlqavv/5aX331Vbntrj70GQAAANXPZrNp8fwENfVqVeVtFxT+qPmL\nx3GXC1BJTouxAwcOaOvWraxuCAAAcJ1p6tVKLZr71nYaACrg5myHbt266bvvvquJXAAAAACgwXA6\nMnbixAmFh4fLarWqUaNGki6tprht27ZqT+5asOofAAAAgOuR02LspZdekjGm3La6dMuizWbTw6Mf\nkYdHoypvu7T0oja+u577oQGgBnBxDQDQ0FzTAh5XK77at29fLQm5wsOjkRo39qztNAAAlWCz2bRl\ny+fy9W1T5W3n5GQqLCyYi2sAgDrFaTG2e/duRzF28eJFffnll+rVq5fjGWEAAFQVX982atu2Y22n\nAQBAjXBajMXGxpZ7n5eXpylTplRbQgAAAADQEDhdTfF/3XjjjTp58mR15AIAAAAADYbTkbHIyMhy\n7202mwYNGlRtCQEAAABAQ+C0GIuKinK8tlgsatWqlbp27VqtSQEAgIajoaykWZ3nWVfOEcDPU2Ex\nlpGRIel3VkF3AAAgAElEQVTSP+6rfdauXbvqywoAADQYNptNUU/OVxNPrypvu6i4UGteWlwnVtK0\n2WyKmb1GXje2rNJ2C8/naekzUXXiHAH8PBUWYxEREVfdnp2dLbvdroMHD1Z5Mp9++qmWLVumsrIy\njRo1ShMmTKjyGAAAoO5p4umlG29sXttpVDuvG1uqWVPv2k4DQB1RYTGWmppa7n1hYaFiY2P1z3/+\nU4sXL67yROx2uxYvXqw33nhDfn5+GjVqlO6++26u8gAAAACol65pNcXPP/9cw4YNkyRt2rRJ/fr1\nq/JE9u/fr06dOqlDhw5q1KiRwsLCtG3btiqPAwAAAAB1wU8u4FFYWKhnnnlGn332mRYvXlwtRdhl\nWVlZatu2reO9n5+f9u/fX23xAAC4HjSUxS0AoCGqsBj7/PPPNW/ePPXv31+bNm1S06ZNqzURi8Vy\nzfva7XZJUmZmpkpKSlRScsGxrSrZ7ReVlZUlT0/PctuzsrJUdKFQpaUXqzzmxdKSCmMWFubp4sXi\nKo1XUlJUYbz8gjMquXihSuNJ0oXi8xXGPJufo+KS81Uf80LhFTGzsrJ0Ji9DF4oLqjze+aL8Cs/x\n9Jl0FV04V+UxC8+fveo5ZuUc1/mis1Ue71xBXoXnmJl1VIWF1RHzjLKyAq4a8+SpIyooyKvymGfP\n5Sorq8sV32t6+hGdO/dj1cc7e0ZZWR2veo7HT3yvs/lnqjxmXl6usrL8rjjHo0cP6+zZqo935sxp\nBQS0uuo5HjlySD/+mFsNMXPUubNXuZht2rSRh4fTRYUlle93atqJEycUHTVDHh6Nqrzt0tKLWr3m\nOXXq1KnK2/45aqPPqQ3V1e/UlT7ncsya7HcaQp9zOWZ19Dt1pc+5HLMm+5260udYjDHmao0EBATI\nw8NDrVu3vvIgi6XKbyHcu3evVq9erddee02StHbtWlkslqsu4vHFF1/okUceqdL4AICGZdu2berQ\nocM17Uu/AwCojIr6nAqLsfT09J9s8Fo7sGtVWlqqIUOGKCEhQa1bt9ZDDz2klStXXnUBjwsXLujA\ngQPy9fWVu7t7leYBAGgYfs7IGP0OAKAyfvbIWG3YsWNHuaXtH3/88dpOCQAAAACqRZ0qxgAAAACg\nobimpe0BAAAAAFWLYgwAAAAAagHFGAAAAADUAooxAAAAAKgFFGMAAAAAUAsoxgAAAACgFlCMAQAA\nAEAtoBgDAAAAgFpAMQYAAAAAtYBiDAAAAABqAcUYAAAAANQCijEAAAAAqAUUYwAAAABQCyjGgBry\n4osv6osvvpAkRUZGKi0tzeW2hg4dqoyMDJeOrWxsZ9555x2988471dY+ADRUdaUfCQ0N1ZAhQ8pt\nKy0tVVBQkObOnStJmjdvnr755huX8/vvWK7meTVVlRdQVTxqOwGgodizZ4+CgoKqpC2LxVKrx/+U\nMWPGVFvbANCQ1aV+pLi4WIcPH1a3bt0kSTt37pSb23+u8S9ZsqRS7VeXupoXGi6KMeAa7d69Wy+/\n/LIk6cSJE7rvvvvUrFkzpaSkyBijV155RT4+Pvr000+1evVqlZaWqkOHDlq8eLE++eQTHThwQPPn\nz9fq1aslSe+9955iY2OVn5+vmJgYhYSE6PTp04qJidGpU6fk4eGhqVOnasCAATp79qxmzZqljIwM\n3XTTTSosLLwiv/Xr1+u9994rty0oKEhz5syp8Jz69eun0NBQffHFF/L19dVvfvMbvf3228rMzFRs\nbKx69+6ttLQ0xcXF6cKFCzp79qxmzpypIUOGKDMzUzNmzFB+fr66deumPXv2aMeOHVq9erUsFoui\noqLUv39/DRkyRF9++aXc3d0VFxenDh06aPfu3VqyZIk8PDzUs2dPHTlyRG+//XYV/tcCgLqnPvUj\n9957r7Zu3eooxj788EPdd999unDhgqRLI3fR0dHq06ePVqxYoZSUFHl4eOjhhx/Wo48+qsjISLVs\n2VLff/+94uLidOrUKb3wwgsqKytTx44dtWjRIvn4+Dji2e12Pfvss9qzZ4/sdrvCw8M1btw47d69\nW2vXrlWTJk105MgRdevWTc8//7yKi4s1bdo0nT59WpIUFRWl0NBQR17GmKse16hRI7311ltav369\nmjVrpi5duqhTp06Kioqqgv8DgKswAK7Jrl27zC9/+UuTmZlpioqKTGBgoNm4caMxxpg5c+aYN998\n0+Tm5prhw4eb/Px8Y4wxGzZsMDExMcYYYyIiIkxaWprj9eLFi40xxmzfvt2MHDnSGGPMpEmTzBtv\nvGGMMebEiROmf//+5vTp02bRokVm5cqVxhhj9u3bZ2699VZz8uRJl87jv/Po3r272bZtmzHGmMjI\nSDN9+nRjjDFJSUnmD3/4gzHGmOjoaPPvf//bGGPM559/boYOHWqMMSYqKsr85S9/McYY8/e//910\n797dGGPM6tWrzerVqx3tp6SkGGOMiY2NNbGxsebixYtm0KBB5rvvvjPGGLNkyRITGRnp0rkAwPWk\nvvQjISEh5ssvv3T0B8XFxSY8PNz83//9n5kzZ44jv927d5sPP/zQjB071pSUlJjCwkIzfPhwk5OT\nYyIiIhx9xenTp82AAQMc+bz66qtm0qRJjljp6enmL3/5i1m+fLkjXkREhNmzZ4/ZtWuXCQwMNJmZ\nmaasrMyMGjXKpKammqSkJLNw4UJjjDE//PCDefbZZ8t9hxUdd/DgQXPfffeZgoICU1xcbEaPHu3I\nE6gOjIwBP0PXrl3l5+cnSWrVqpXuvPNOSVL79u2Vn5+v/fv369SpU4qMjJR06Upey5Ytr9rW3Xff\nLUny9/fXjz/+KOnSVdOlS5dKkjp27KiePXtq3759SktL0/PPPy9J6tGjh7p27XpFe1e7otm3b1/H\n/fsVGThwoOMcfvWrX0mS2rZtq7Nnz0qSnnvuOaWmpuqjjz7Svn37VFRUJEn6/PPP9cwzz0iSBg8e\nrObNm0uSjDHlbn8ZMGCA47vbs2ePDh8+LG9vb8fV1JEjRzrOGQDqu/rSj/j5+alZs2b697//rePH\nj6tfv35XzfGLL77Qr3/9azVq1EiNGjVScnKy47OePXtKkvbv368ePXqoXbt2kqTRo0crPj6+XDs7\nd+7UoUOHtGvXLklSUVGRvv/+e/n7+6tbt26O79Tf319nz57VHXfcoZUrVyorK0t33XWXnnjiiSty\nu9pxx48fV0hIiLy8vCRJYWFhys/Pv+q5AVWBYgz4GRo1alTuvbu7e7n3drtdv/zlL/XnP/9Z0qV7\n6q92K4gkeXhc+udnsVhkjJEkx8/LjDGy2+2SpLKysgrjStIjjzyiRx555OecTrk8Kmp37NixuvPO\nO9WnTx/deeedmj59umPf/86pIo0bN5b0n/kJbm5uV5wnADQU9akfGTJkiD766COdOHFCv/vd73Tw\n4MGr5vjfOaWnp8vb21uSdMMNN1SYc2lpabltZWVlmjVrlgYPHixJOnPmjLy8vLR3715HPyP957vo\n3LmzPvroI/3jH//Q9u3b9frrr+ujjz4q1+bVjnNzcyv3PdFfobqxmiJQBS7/su7Zs6f27t2rY8eO\nSZJeeuklrVixQtKlDul/O5f/1bdvX73//vuSJJvNpq+++kp33HGH+vXrp6SkJEnSd999p8OHD1fT\nmZR3+SrhpEmTNHDgQH322WeOTio4OFibN2+WJO3YscPplcPL39Hlq4+Xz2Hz5s3VuqAIAFwPrrd+\nxGKxaMiQIfrb3/6mf//73woICLhq4dK7d299/PHHKi0tVVFRkf7f//t/ys7OLnfOPXr00N69e3Xy\n5ElJ0saNG69YqCQoKEgbN25UaWmpCgoK9Jvf/Eb79++vML8NGzZo9erVGjJkiBYsWKAzZ87o3Llz\n5eJezZ133qkdO3aooKBAJSUl+vjjj+mjUK0YGQOukcViqfAX8uXtVqtVy5Yt05QpU2S329W2bVtH\nJzpgwAA9/fTTio2NrfD4efPmacGCBUpMTJTFYtHSpUtltVoVHR2tuXPnKiwsTJ06dVKXLl2q7Jwq\nem+xWNSiRQs99NBDCgsLk4+Pj+655x6VlJTowoULeuqppzR79my9++67CggIUIsWLa7axv++btSo\nkVasWKHZs2fLYrHo5ptvdlwdBYD6rL71I61bt1bz5s3Vt2/fcjn8d06DBw/W119/rfDwcBljNG7c\nON10001XnPPixYsVFRWlixcvqn379uVuX7dYLBozZoyOHTum8PBwlZaWatSoUY5Fpq4Wd9iwYZo+\nfbqGDRumRo0aKTo6Ws2aNSsX92rHde3aVZGRkRozZoxuvPFGtWrVij4K1cpiqmn8de7cudqxY4d8\nfHwcV8/z8vI0depUZWRkqH379oqLi3PMM1m7dq0SExPl5uamefPmqX///tWRFoAq8vbbbys4OFj+\n/v765ptvHJ2/M8YYPffcc4qKilKTJk30xhtvKDs7W7Nnz66BrAEAqNixY8f0ySefaNy4cZKkJ598\nUqNHj9Zdd91Vq3mh/qq2kbGRI0cqMjKy3B9Y8fHxCg4O1vjx4xUfH6/4+HjNmDFDP/zwgz788ENt\n2bJFWVlZ+t3vfqetW7eWe14FgLqlc+fOmjZtmtzc3OTp6XnNz265POI2atQoNWrUSB06dGABDwBA\nndCuXTt9/fXXGjZsmKRLo5EUYqhO1TYyJl2apPnEE084RsaGDBmidevWyWq1KicnR5GRkfrb3/6m\ntWvXymKxaMKECZKk3//+94qOjlZgYGB1pQYAAAAAtapGh55yc3NltVolXbo/ODc3V5KUnZ2tNm3a\nOPZr06aNsrKyKmyntLRU6enpTiexAgBQFeh3AADV4ZqKsZKSEkn/uY/2WpazduanJrFe/rwimZmZ\nuvvuu5WZmVnpPAAAcIZ+BwBQHZwWY2vWrFFMTIxOnjypiIgIJSQkaMGCBS4F8/HxUU5OjqRLo2GX\nnzPh5+dXroPLzMx0PIQPAAAAAOojp8VYamqqli5dqi1btmjYsGFKSEjQt99+61Kw0NBQxzMukpOT\nHQ/uCw0N1ZYtW1RSUiKbzabjx4+rR48eLsUAAAAAgOuB09UU7Xa7GjdurO3bt2vy5Mmy2+0qKipy\n2vC0adOUlpamvLw8DRo0SJMmTdKECRM0ZcoUJSYmOpa2l6RbbrlF999/v8LCwuTu7q4//vGPPGAP\nAAAAQL3mtBgLDg7W0KFD5enpqT59+igiIkIhISFOG165cuVVtyckJFx1+8SJEzVx4kSn7QIAAABA\nfeC0GJs9e7YiIyPl5+cnNzc3LViwQAEBATWRGwAAAADUW07njOXl5emll17SuHHjdObMGb355ps6\ne/ZsTeQGAAAAAPWW02Js/vz5uv3225WXlycvLy+1bt1aM2fOrIncAAAAAKDeclqMpaena8yYMXJ3\nd5enp6emTp2qU6dO1URuAAAAAFBvOS3GPDw8dO7cOcf7Y8eOyd3dvVqTAgAAAID6zukCHtHR0YqM\njNSpU6f0xBNPaO/evVq2bFlN5AYAAAAA9ZbTYmzgwIG6/fbbtX//ftntdi1evFhWq7UmcgMAAACA\neqvCYuydd97RmDFjtGbNmnLbDx48KEmKioqq3swAAAAAoB5zOmcMAAAAAFD1KhwZGzNmjKRLqynG\nxsbWWEIAAAAA0BA4HRk7fPiwCgoKaiIXAAAAAGgwnC7g4ebmppCQEN18883y9PSUJFksFr311lvV\nnhwAAAAA1FdOi7GZM2dKulSAGWMcrytj7dq12rRpk9zc3NStWzctX75c58+f19SpU5WRkaH27dsr\nLi5OzZs3r1QcAAAAAKirnN6m2LdvX7m7u+vIkSMKDAyUm5ub+vTp43LA9PR0vfvuu0pKStLmzZtl\nt9u1ZcsWxcfHKzg4WFu3blVQUJDi4+NdjgEAAAAAdZ3TYiwhIUEvvPCCEhISVFhYqPnz5+vVV191\nOWDTpk3l4eGhoqIilZaW6sKFC2rdurVSU1MVHh4uSQoPD1dKSorLMQAAAACgrnNajCUlJem1115T\nkyZN5O3trffff1+JiYkuB2zZsqUee+wx3XXXXRowYICaNWumfv36KTc31/EwaavVqtzcXJdjAAAA\nAEBd57QYc3d3V+PGjR3vb7jhBnl4OJ1qVqETJ07ozTffVGpqqv7xj3/o/Pnz+utf/1puH4vFUul5\naQAAAABQlzmtqnr37q3Y2FidP39eKSkp2rhxo/r27etywAMHDuiOO+5Qq1atJEn33HOP9u7dK6vV\nqpycHPn6+io7O1ve3t4uxwAAAACAus7pyNjs2bPVuXNnBQQEKDk5WYMGDdKcOXNcDtilSxft27dP\nFy5ckDFGO3fu1C233KKQkBAlJSVJkpKTkzV48GCXYwAAAABAXed0ZGzZsmUaPny4xo4dWyUBAwIC\nNHz4cI0cOVJubm667bbbNHr0aBUWFmrKlClKTEx0LG0PAAAAAPWV02Lspptu0rJly5SXl6dhw4bp\ngQceUIcOHSoVdPz48Ro/fny5bS1btlRCQkKl2gUAAACA64XT2xQjIiK0YcMGvfrqq/L09NSTTz5Z\nZaNkAAAAANBQOS3GJOncuXP6/PPP9c9//lNlZWXq379/decFAAAAAPWa09sUJ06cqG+++Ub33nuv\nJk+erJ49e9ZEXgAAAABQrzktxh566CGtWbOmUs8WAwAAAACU5/Q2xcDAQE2fPl19+/bVr371K/3h\nD3/Q6dOnayI3AAAAAKi3nBZjCxYsUI8ePbRt2zZt375dgYGBiomJqYncAAAAAKDeclqM2Ww2/f73\nv1fTpk3VvHlzjR8/XidPnqyJ3AAAAACg3nJajLm5uSkjI8Px/uTJk2rUqFG1JgUAAAAA9Z3TVTkm\nT56sMWPGqEePHpKkvXv3avHixdWeGAAAAADUZ06LsZCQEPXs2VP79u2TMUYLFy6Uj49PTeQGAAAA\nAPWW09sUd+3apSeffFIhISHq3LmzHnroIX355Zc1kRsAAAAA1FtOi7HY2FgtWrRIkuTv769XXnlF\nS5curfbEAAAAAKA+c1qMlZSUqFu3bo73/v7+stvtlQqan5+vSZMm6f7779evf/1r7du3T3l5efrd\n736n++67T4899pjy8/MrFQMAAAAA6jKnxdjNN9+sFStW6PDhw/ruu++0atUq3XTTTZUKunTpUg0c\nOFAfffSRNm3apC5duig+Pl7BwcHaunWrgoKCFB8fX6kYAAAAAFCXOS3Gli5dqvPnz2v69OmaM2eO\nzp8/ryVLlrgc8Ny5c/riiy80atQoSZKHh4eaNWum1NRUhYeHS5LCw8OVkpLicgwAAAAAqOucrqbY\nsmVLzZ07V40bN9axY8d09OhReXl5uRwwPT1d3t7emjt3rg4dOqRf/OIXeuqpp5Sbmyur1SpJslqt\nys3NdTkGAAAAANR1TkfG1qxZo3nz5unkyZOKiIjQm2++qQULFrgcsLS0VN9++63Gjh2rpKQkNWnS\n5IpbEi0WiywWi8sxAAAAAKCuc1qMpaamasmSJdqyZYuGDRumhIQEffvtty4HbNOmjfz8/BwPkb7v\nvvv07bffymq1KicnR5KUnZ0tb29vl2MAAAAAQF3ntBiz2+1q3Lixtm/frkGDBslut6uoqMjlgL6+\nvmrbtq2OHj0qSdq5c6duueUWhYSEKCkpSZKUnJyswYMHuxwDAAAAAOo6p3PGgoODNXToUHl6eqpP\nnz6KiIhQSEhIpYLOnz9fM2bM0MWLF9WpUyctX75cdrtdU6ZMUWJiotq3b6+4uLhKxQAAAACAusxi\njDHOdsrIyJCfn5/c3d116NAhBQQE1ERuFUpPT9fdd9+tbdu2qUOHDrWaCwCg/qPfAQBUhwpHxl58\n8UVNmjRJc+fOverny5cvr7akAAAAAKC+q7AYu/322yVJvXv3lsVikTGm3E8AAAAAgOsqLMa6d++u\njIwM9e3b11GEAQAAAACqRoXF2OOPPy6LxaLCwkJlZmaqa9eucnd31+HDh9WlSxdt2rSpJvMEAAAA\ngHqlwmLsgw8+kCRFR0crLi7O8Vyw7777jpUOAQAAAKCSnD5n7NixY45CTLp0++KJEyeqNSkAAAAA\nqO+cPmesXbt2WrVqlcLCwlRWVqakpCT5+/vXRG4AAAAAUG85HRl79tlnVVBQoOnTp2vmzJmyWCws\naw8AAAAAleR0ZKxFixaaP39+TeQCAAAAAA2G05ExAAAAAEDVq7AYKywsrMk8AAAAAKBBqbAYe/TR\nRyVJTz/9dE3lAgAAAAANRoVzxgoLCzV9+nR99tlnKi4uvuJzFvEAAAAAANdVWIy9/vrrSktL01df\nfaU+ffrIGCOLxeL4WVl2u10jR45UmzZt9PLLLysvL09Tp05VRkaG2rdvr7i4ODVv3rzScQAAAACg\nLqqwGGvXrp1GjBihgIAAdenSRUePHlVZWZm6du0qDw+nizA69dZbb8nf398xNy0+Pl7BwcEaP368\n4uPjFR8frxkzZlQ6DgAAAADURU5XU7x48aKGDBmiOXPmaO7cubrrrru0d+/eSgXNzMzUjh079NBD\nDzm2paamKjw8XJIUHh6ulJSUSsUAAAAAgLrM6RDX0qVLtWrVKvXs2VOStHfvXi1ZskTvv/++y0GX\nLVumWbNmqaCgwLEtNzdXVqtVkmS1WpWbm+ty+wAAAABQ1zkdGTt//ryjEJOkwMDAqy7oca22b98u\nHx8f3XbbbTLGXHUfi8VSJfPSAAAAAKCucjoy1qJFC6WkpGjw4MGSpL///e9q2bKlywH/9a9/KTU1\nVTt27FBJSYkKCgo0c+ZM+fj4KCcnR76+vsrOzpa3t7fLMQAAAACgrnM6MrZo0SK9/PLL6tu3r/r0\n6aOXX35ZCxcudDngtGnTtGPHDqWmpmrlypUKCgrSihUrFBoaqqSkJElScnKyo/gDAAAAgPrI6cjY\nzTffrPfff1+FhYUyxqhp06bVksiECRM0ZcoUJSYmOpa2BwAAAID66prXqPfy8qry4H369FGfPn0k\nSS1btlRCQkKVxwAAAACAusjpbYoAAAAAgKrntBjbsGFDTeQBAAAAAA2K02Js3bp1NZEHAAAAADQo\nTueMtWnTRo8++qh69uwpT09Px/aoqKhqTQwAAAAA6jOnxVhgYKAkOR7CbIzhgcwAAAAAUElOi7Ho\n6GgVFhbKZrOpW7duKioqqpaVFQEAAACgIXE6Z2znzp0aMWKEnnzySeXk5Cg0NFT/+Mc/aiI3AAAA\nAKi3nBZjzz//vNavX6/mzZvLz89P69at07PPPlsTuQEAAABAveW0GCsrK1Pr1q0d77t27cqcMQAA\nAACoJKdzxtq2bavU1FRJUn5+vtavX6927dpVe2IAAAAAUJ85HRlbuHChNm/erFOnTmnw4ME6ePCg\nFi1aVBO5AQAAAEC95XRkzGq1atWqVSooKJCHh4duuOGGmsgLAAAAAOo1p8XYDz/8oDlz5shms0mS\nunTpomeeeUadOnVyKeCpU6c0a9YsnTlzRhaLRaNHj9ajjz6qvLw8TZ06VRkZGWrfvr3i4uLUvHlz\nl2IAAAAAQF3n9DbFefPmKTo6Wrt379bu3bv12GOPKSYmxuWAHh4eeuqpp7RlyxZt3LhR69ev15Ej\nRxQfH6/g4GBt3bpVQUFBio+PdzkGAAAAANR1Toux4uJiDRo0yPH+nnvu0blz51wO6Ovrq1tvvVWS\n5OXlJX9/f2VlZSk1NVXh4eGSpPDwcKWkpLgcAwAAAADqugqLsby8PP3444+67bbblJCQoIKCAhUV\nFendd99Vr169qiR4enq6Dh48qB49eig3N1dWq1XSpXlqubm5VRIDAAAAAOqiCueMPfjgg47XO3fu\n1FtvvVXu83nz5lUqcGFhoSZNmqSYmBg1bdq03GcWi4VnmQEAAACo1yosxi4/W6w6XLx4UZMmTdID\nDzygwYMHS5J8fHyUk5MjX19fZWdny9vbu9riAwAAAEBtc7qa4pEjR/Tuu+8qPz+/3Pbly5e7FNAY\no5iYGPn7+2vcuHGO7aGhoUpKStKECROUnJzsKNIAAAAAoD5yWoxFRUUpLCxM3bt3d2yrzC2EX375\npTZt2qTu3btrxIgRkqRp06ZpwoQJmjJlihITEx1L2wMAAABAfeW0GGvRooWioqKqLGCvXr106NCh\nq36WkJBQZXEAAAAAoC5zWoyFh4dr1apVCgoKkofHf3bv3bt3tSYGAAAAAPWZ02IsLS1NX3/9tb76\n6qty299+++1qSwoAAAAA6junxdiBAwe0detWlpoHAAAAgCpU4UOfL+vWrZu+++67msgFAAAA+P/Y\nu/Owqsr97+PvDSjOAqI4V6JGHS+H8zPAWdB+WkhAampJdfIRzcA0JxCHEjUyS0sff0rWQbPSiiCV\npp+iZGmYddAsPVbHBESGMEAGFWE9f3ixHxFwGzKFn9d1dcVee+31/a61cd18132ve4ncNiz2jCUl\nJeHn54ejoyONGjUCrs6muHfv3hpPTkREREREpKGyWIxt2LABwzDKLNOQRRERERERkVtzUxN4VFR8\nderUqUYSEhERERERuR1YLMYSEhLMxVhRURHfffcd/fv3Nz+wWUTqr8uXL5OcnFxj2+/SpQuNGzeu\nse2LiIiINGQWi7Hw8PAyr7Ozs5k1a1aNJSQi1Sc5OZlVy7fTqmWbat927oUs5i+aiLOzc7VvW+qe\nCnkREZGaZ7EYu16zZs04e/ZsTeQiIjWgVcs22LVuV9dp1CgVDtUvOTmZqKh4HB2dqn3bv/+eztix\nw1TIi4jUU2pXa4/FYszf37/M6+TkZIYNG1ZjCYmI/FnJycls/L87sW/dttq3/UdOJtOfeei2LBwc\nHZ1o79S5rtMQEZFalpyczHvv7KGNQ/VfzM06n8Gkx0belu1qRSwWY4GBgeafTSYT9vb29OjRo0aT\nEhH5s+xbt6VNm/Z1nYaIiEiD0MahHe3aacK+mlZpMZaamgpc7Uas6L2OHTtWezJffvklK1eupKSk\nhJV2778AACAASURBVHHjxhEQEFDtMURKqQteRESkeqltlaq6XX93Ki3GJk+eXOHyjIwMiouLOXHi\nRLUmUlxcTFhYGP/85z9xcnJi3LhxjBgxQl2YdeR2+AeRnJxM6IL1NG9mV+3bzi/IZsVLgbfl7+/t\n8LtzO+yjiEhVaOIoqarb9V7lSouxuLi4Mq/z8/MJDw/n66+/JiwsrNoTOXbsGF27dqVz56v3J3h5\nebF37956edBuB8nJyQTOWExT2+bVvu3CS/ms3xBWL77b5s3saNnCoa7TaFCSk5N5bXUUrVs5Vvu2\nc3J/59m5Y+v8dyc5OZnINz/F3r4G7lH7I5MnpzxQbh9VAIpUL/2bqjm1OXFUXXyP+t2pObfjvco3\nNZviwYMHWbRoEYMGDWLnzp20aNGi2hNJT0+nQ4cO5tdOTk4cO3as2uPIzWtq25xmzVrVWrzb4eR2\nO+wjQOtWjjjYV/+VrfrE3r4tbR2rf7h2ZXQztTRkdXFuTE5OZu6sl2jatGW1xyssvMDqtQtq9aJK\nfTn/17a6uABYF5NG6Xen4bphMZafn89LL73EV199RVhYGIMGDaqxREofLH0ziouLAUhLS6updG57\n6enp5Oad53LRxWrf9sVLBaSnp2Nra1tmeVJSEosWrsbWtlm1x7x0qYDlK+fStWtX87L09HTOZ6dy\n8VJetccrKMytdB/Dw96kaZPqv6BReDGP4MVTyu1jeuYZCgpzqj3ehbzsCvcxPT2dtPTT5OfXRMzz\npKe7VBjz7LlfycvLrvaYOReySE/vViZmeno6KSm/cuHCH9UfL+c86eldKtzHvLwcbGz+9BNJLMrL\nyyn3Xaanp3P69Clycs5Xe7zz53/HxcW+3D7Wtvbt29/08VS7U7OSkpJYMC+Mxo2bVPu2L1++yEsv\nLy5zboSrv+OXiy5iZW1d/TGLLlbaBixbup4m1Tzq5OKlfJa8EFhuH+tCbbc76enpFBZewMa6UbXH\nKyy8UGk7V1CQS6MaiFlQUPnfD29GRNGiRetqjZeXl8OUgLEV/vs4k/QzObnV3wZkZ2eRnu5U4XFt\nyO1OZW2OyTAMo6IPlPaGDR48mPnz59dIb9i1EhMTWbduHW+++SYAmzZtwmQyVTiJx5EjR3jsscdq\nNB8REWnY9u7dax4ab4naHRERuRWVtTmVFmMuLi7Y2NjQrl35ITEmk4m9e/dWa4JXrlxh9OjRREZG\n0q5dO8aPH8+rr75a4bCZixcvcvz4cdq2bYt1DVzREhGRhu/P9Iyp3RERkVvxp3vGUlJSbrjBm72a\n+GfEx8eXmdp+2rRp1R5DRERERESkPqi0GBMREREREZGaY1XXCYiIiIiIiNyOVIyJiIiIiIjUARVj\nIiIiIiIidUDFmIiIiIiISB1QMSYiIiIiIlIHVIyJiIiIiIjUARVjIiIiIiIidUDFmIiIiIiISB1Q\nMSYiIiIiIlIHVIyJiIiIiIjUARVjIiIiIiIidUDFmIiIiIiISB1QMSYiIiIiIlIHVIzJX97rr7/O\nkSNHAPD39+fw4cNV3taYMWNITU2t0mc9PT3x8vLC19fX/N/ChQsrXT8hIQF/f38AFi1axI8//lil\nuDdy4MABcy79+vXjv//7v/H19SUwMJDt27ezffv2m95WdeS4du1alixZUm65v78/+/btu6ltvP76\n68TFxd1wnZCQEM6dOwdAQEAAmZmZfz5ZEZF6oD62cT4+Pjz88MMkJCTc8DPr1q1j/fr1VYpXkaio\nKHOb1qtXL3M+y5Ytu6m24VpqG6S+sKnrBERu1bfffou7u3u1bMtkMt3S59944w06duz4pz+3fPny\nW4pbmSFDhjBkyBDgaiM+c+ZM7rvvviptqzpyHDt2LOPHj2fp0qVYW1sDkJqaypkzZxg2bNhNbWPm\nzJkW10lISKCkpASAiIiIqicsIlLH6msb99VXXzF79mwOHDhgPp9Xd7zrjR07lrFjxwJXi8Oqtrmg\ntkHqDxVjUucSEhLYuHEjAElJSYwaNYqWLVuyZ88eDMPgjTfeoE2bNnz55ZesW7eOK1eu0LlzZ8LC\nwti/fz/Hjx9n8eLFrFu3DoAPPviA8PBwcnNzCQ0NxcPDg99//53Q0FDOnTuHjY0Ns2fPZsiQIeTk\n5DB//nxSU1O58847yc/PL5ffO++8wwcffFBmmbu7O8HBweXWNQyjwn08ceIES5Ys4eLFi9jZ2bF6\n9eoy7/v7+xMUFIRhGPzP//wPAGlpafTu3Zvly5dz+fJlnnvuOX7//XcAAgMD8fT05MyZM7zwwgtk\nZ2fTpEkTFi9ezD333FPpsb42v3Xr1mEymQgMDGTQoEF4enpy5MgR2rZty6OPPsrbb79NWloa4eHh\n3HfffWVy3LRpE02bNuXXX3+lZ8+evPLKKzRq1IitW7fyzjvv0LJlS7p160bXrl0JDAw0x+zSpQs9\nevTgyy+/xMPDA4CdO3fi4+NDZmYmCxcuJC8vj8zMTLy8vJgzZw4fffQR0dHRZGdn4+npSUZGBq6u\nrvj5+bFmzRq++eYbsrOzsbe3Z/369Xz00UdkZGQwbdo0tm3bxsMPP8y2bdto3749K1eu5JtvvsFk\nMvHQQw8xdepUEhISKtyfS5cuVXjMRUT+jIbUxl2rf//+nD9/npycHFatWoWbmxt+fn4AuLi4cPLk\nSQzDwGQyceXKFUJCQvjll18AePTRRxk/fjynTp1i+fLlFBQUcP78ef7xj3/g7+/PunXrSExMJC0t\njcmTJzNp0iSLxzk4OBg3NzdcXV2ZMWMGXbt25dSpU/Tq1QtXV1eio6PJyclh/fr1ODs74+npydtv\nv01CQgIHDhwgNzeX5ORkBg0axNKlSwF45ZVX+OKLL7C3t6dt27Z4enqa91GkuqgYk3rh2LFjfPLJ\nJ7Ru3ZoBAwYQEhJCVFQUISEhxMbGMmbMGF599VXefvttWrZsyfbt21m9ejXLly8nKiqKmTNn0rNn\nTwBat27NRx99xP79+1m/fj0eHh6EhYUxYMAAnnzySZKTk3n00UeJiYlhw4YNuLi4sGnTJo4dO8bE\niRPL5fbYY4/x2GOP3dR+BAQE0KhRI/PrJ554Aj8/P+bOncv8+fMZNmwY7733Hlu2bGH48OFlPmsy\nmTAMg6NHj/Lxxx/TpUsXZs2axbvvvoudnR2dO3cmIiKCX3/9lY8++ghPT08WLFjA0qVLueeee/jl\nl18IDAzks88+qzS/a69SXvtzVlaW+Tg9/vjj7Nmzh3feeYeYmBi2bNli7k0rzfFf//oXn332Ge3a\nteORRx7hq6++okOHDrz77rt89NFHNGrUCH9/f7p27Vouh7Fjx7J79+4yxdiGDRuIjY3F29sbX19f\nLly4wPDhw3nqqacAyMjI4NNPP8XKyoqQkBBMJhNJSUmcPn2aHTt2ALBgwQJ27dpFQEAA27dvJyIi\nAjs7O+BqEfree++Rnp7Orl27uHTpEv7+/vTs2ZMmTZpUuD85OTlljnlUVJSKMRGpkobSxl17Qe/j\njz/mzjvvxMHBodIesNLl//rXv8jNzTVfWHvppZcYP348H374ITNmzMDd3Z3k5GR8fHzMw/eLioqI\njY296WNsMpnMbdSpU6d46aWXuPvuuxk1ahSdO3dm+/btrF+/nvfff5+QkJAy+SUmJhIbG4uVlRWj\nR49m0qRJpKSk8P333xMbG0tBQQF+fn6MGDHipvMRuVkqxqRe6NGjB05OTgDY29szYMAAADp16kRu\nbi7Hjh3j3Llz5pN0cXGx+Q/t65WeLJ2dnfnjjz+Aq1cmV6xYAVztnenTpw9Hjx7l8OHDvPLKKwD0\n7t2bHj16lNteRVcN3dzczCfza1U0ZOL8+fP8/vvv5mF4pVf4rh9rX3oFccCAAeYixsfHx9xwvPrq\nq6SnpzN8+HCefvpp8vPzOX78eJk8CgsLycnJoXXr1hUemxsZOnQocPWY/9d//RcAHTp0ICcnp9y6\nPXv2NH9fzs7O5OTkcObMGTw8PGjevDkAXl5e5ObmlvvsqFGjWL16NYWFhfz888/Y2dlx55138tRT\nT/HNN9/w1ltvcerUKa5cuUJhYSEA9957L1ZW//8WV8Mw6Nq1KwsWLGDHjh2cPn2axMTECou/UgkJ\nCfj5+WEymWjSpAne3t4cOnQIT0/PCvenX79+ZY75jBkz/vQxFRGBhtPGlV5wLCoqomPHjqxdu/aG\n+13arvXo0YPTp08zZcoUhg0bxty5c4GrvVlffvklERERnDx50nzOB+jTp88Nt30jjo6OuLi4AODk\n5GQe5tmxY0e+/fbbMvkB9OvXj2bNmgFXj19OTg4HDx7kwQcfxMbGhlatWjFy5MhKR7+I3AoVY1Iv\nXNubBJQbf15cXMzf//538xC+S5cuVTjcAsDG5uqvdekVMig/fNAwDIqLiwHM9xZVFBf+3FXDily/\nb5cvXyY9Pb3ceqX5luZfmpu1tTV33HEHn376KQcOHGDfvn289dZbfPDBB9ja2hITE2Ne/9y5c1Uq\nxIAycSsb/1+qcePG5fK2srIqcywra7SaNm3K8OHD2bNnD0ePHmXcuHEAhIeHk5KSgre3NyNHjuTQ\noUPmbTRp0qTcdo4fP86cOXN46qmnGD16NNbW1jdsKA3DKPN+SUkJV65cqXR/Kjrmn3766Q2Pi4hI\nRRpKG3eje7RKcygqKir3np2dHbt37+bgwYPEx8fj5+dHbGwsCxcuxM7ODg8PDx588EE++eQT877Z\n2treVE4Vuf54X9u+VeT6WIZhYG1tbT6GpctEaoJmU5R6rfTk16dPHxITE/ntt98A2LBhAy+//DJw\n9SRb+kd1Zdzc3Pjwww8BSE5O5vvvv6dfv34MGjSI6OhoAP79739z6tSpasn3Wi1btqR9+/YcPHgQ\ngJiYGF5//fVywzpKi4WEhAQyMzMpKSkhJibGPLRx3bp1jB49miVLlnD+/HlzwbBz504ADh48aL6q\nejP5VaVhudFnBgwYQHx8PHl5eVy+fJkvvvii0qErY8eO5ZNPPuHAgQM88MAD5vynTJnCqFGjSE1N\nJT09vcwfEdc7cuQIbm5uTJgwAWdnZ77++mvz+hX9Tri7uxMTE0NJSQmFhYXs3r0bd3f3SvepomOe\nl5d3w+MjIvJn/NXauMrY29vz888/A7Bnz55y7+/fv5958+YxfPhwQkNDadasGefOnePgwYMEBQXh\n6elpniWypKSkyoVPdRZMAwcO5IsvvqCoqIi8vDzi4+OrfUISEVDPmNQDpeO8K3sPrg45WLlyJbNm\nzaK4uJgOHTqYG6ohQ4bw/PPPEx4eXunnFy1axJIlS4iKisJkMrFixQocHR0JCgoiJCQELy8vunbt\nSrdu3W5pX66/Z6xp06a89957vPzyyzz//POsWrUKBwcHVq1axX/+858K7+Fq164dc+fOJSMjg0GD\nBjF+/Hjy8/OZM2cO3t7eNGrUiKCgIFq2bMnq1atZunQpmzdvpnHjxhaHjFR2z9j1x9/SehWt36NH\nD/z9/Zk4cSLNmjXD3t6+wh4tuDok5MyZM9x33300bdoUgGnTpjF//nzatGlD9+7dcXd3JyUlpcLf\nDZPJxAMPPEBQUBC+vr7Y29szdOhQUlJSABg+fDgBAQFs3rzZvP6ECRM4ffo0Pj4+FBUV4ePjw8iR\nI0lISKhwf7y9vcsd8xYtWlRyZEVEKtaQ2rjKTJo0idmzZ/PQQw/h7u5Ou3btyuQ3ePBgPvvsM7y8\nvLC1tWXUqFH07NmToKAgHn30URwdHenfvz/Ozs6VnvdvRumxtnS8r1+/ovWGDRvGv/71L/z8/Gjd\nujXt2rWrtE0TuRUmo4b6XUNCQoiPj6dNmzbs2rULgOzsbGbPnk1qaiqdOnVi7dq1tGrVCoBNmzYR\nFRWFlZUVixYtYvDgwTWRlki9lpCQwBtvvGEuIv5KfvvtN/bv38+TTz4JwIwZM3jkkUfKTVQiIiJS\n35X2VPr6+lJUVMTEiRN58cUXzROpiFSXGhumOHbs2HJ/UEZERDBw4EA+//xz3N3dzc94+OWXX/jk\nk0+IjY1l8+bNvPDCCzccniTSUN3oil5917FjR3744Qe8vb3x9vbmzjvvVCEmIiJ/SXfddRe7d+82\nP+B6zJgxKsSkRtRYzxhASkoKTz/9tLlnbPTo0Wzbtg1HR0cyMzPx9/fns88+Y9OmTZhMJgICAgCY\nMmUKQUFB9O3bt6ZSExERERERqVO1OoFHVlYWjo6OwNXx0VlZWcDVZwi1b9/evF779u0rnG1ORERE\nRESkobipYuzy5cvA/78npDqGEFoajnWj965cuUJKSorF2YVERESqg9odERGpCRaLsfXr1xMaGsrZ\ns2eZPHkykZGRLFmypErB2rRpQ2ZmJnC1N8zBwQG4+kC+tLQ083ppaWnmhyNWJC0tjREjRpT5jIiI\nSE1RuyMiIjXBYjEWFxfHihUriI2Nxdvbm8jISH766acqBfP09DQ/7yImJoaRI0eal8fGxnL58mWS\nk5M5c+YMvXv3rlIMERERERGRvwKLzxkrLi6mcePG7Nu3j2effZbi4mIKCwstbvi5557j8OHDZGdn\nM2zYMGbOnElAQACzZs0iKirKPLU9QPfu3XnggQfw8vLC2tqapUuX/mVnlBMREREREbkZFouxgQMH\nMmbMGGxtbXF1dWXy5Ml4eHhY3PCrr75a4fLIyMgKl0+fPp3p06db3K6IiIiIiEhDYLEYW7BgAf7+\n/jg5OWFlZcWSJUtwcXGpjdxEREREREQaLIv3jGVnZ7NhwwaefPJJzp8/z5YtW8jJyamN3ERERERE\nRBosi8XY4sWL6dWrF9nZ2TRv3px27doxb9682shNRERERESkwbJYjKWkpDBx4kSsra2xtbVl9uzZ\nnDt3rjZyExERERERabAsFmM2NjZcuHDB/Pq3337D2tq6RpMSERERERFp6CxO4BEUFIS/vz/nzp3j\n6aefJjExkZUrV9ZGbiIiIiIiIg2WxWJs6NCh9OrVi2PHjlFcXExYWBiOjo61kZuIiIiIiEiDVWkx\ntn37diZOnMj69evLLD9x4gQAgYGBNZuZiIiIiIhIA2bxnjERERERERGpfpX2jE2cOBG4OptieHh4\nrSUkIiIiIiJyO7DYM3bq1Cny8vJqIxcREREREZHbhsUJPKysrPDw8OCuu+7C1tYWAJPJxNatW2s8\nORERERERkYbKYjE2b9484GoBZhiG+edbsWnTJnbu3ImVlRU9e/bkxRdfpKCggNmzZ5OamkqnTp1Y\nu3YtrVq1uqU4IiIiIiIi9ZXFYYpubm5YW1vz66+/0rdvX6ysrHB1da1ywJSUFN5//32io6PZtWsX\nxcXFxMbGEhERwcCBA/n8889xd3cnIiKiyjFERERERETqO4vFWGRkJK+99hqRkZHk5+ezePFiNm/e\nXOWALVq0wMbGhsLCQq5cucLFixdp164dcXFx+Pn5AeDn58eePXuqHENERERERKS+s1iMRUdH8+ab\nb9K0aVMcHBz48MMPiYqKqnJAOzs7nnrqKYYPH86QIUNo2bIlgwYNIisry/wwaUdHR7KysqocQ0RE\nREREpL6zWIxZW1vTuHFj8+smTZpgY2PxVrNKJSUlsWXLFuLi4jhw4AAFBQV8/PHHZdYxmUy3fF+a\niIiIiIhIfWaxqrrvvvsIDw+noKCAPXv2sGPHDtzc3Koc8Pjx4/Tr1w97e3sA7r//fhITE3F0dCQz\nM5O2bduSkZGBg4NDlWOIiIiIiIjUdxZ7xhYsWMAdd9yBi4sLMTExDBs2jODg4CoH7NatG0ePHuXi\nxYsYhsGhQ4fo3r07Hh4eREdHAxATE8PIkSOrHENERERERKS+s9gztnLlSnx8fJg0aVK1BHRxccHH\nx4exY8diZWXFvffeyyOPPEJ+fj6zZs0iKirKPLW9iIiIiIhIQ2WxGLvzzjtZuXIl2dnZeHt789BD\nD9G5c+dbCjp16lSmTp1aZpmdnR2RkZG3tF0REREREZG/CovDFCdPnsx7773H5s2bsbW1ZcaMGdXW\nSyYiIiIiInK7sliMAVy4cIGDBw/y9ddfU1JSwuDBg2s6LxERERERkQbN4jDF6dOn8+OPP/Lf//3f\nPPvss/Tp06c28hIREREREWnQLBZj48ePZ/369bf0bDEREREREREpy+Iwxb59+zJnzhzc3Nz4r//6\nL5555hl+//332shNRERERESkwbJYjC1ZsoTevXuzd+9e9u3bR9++fQkNDa2N3ERERERERBosi8VY\ncnIyU6ZMoUWLFrRq1YqpU6dy9uzZ2shNRERERESkwbJYjFlZWZGammp+ffbsWRo1alSjSYmIiIiI\niDR0FmflePbZZ5k4cSK9e/cGIDExkbCwsBpPTEREREREpCGzWIx5eHjQp08fjh49imEYvPDCC7Rp\n06Y2chMREREREWmwLA5T/Oabb5gxYwYeHh7ccccdjB8/nu+++642chMREREREWmwLBZj4eHhLFu2\nDABnZ2feeOMNVqxYUeOJiYiIiIiINGQWi7HLly/Ts2dP82tnZ2eKi4trNCkREREREZGGzuI9Y3fd\ndRcvv/wyPj4+GIbBJ598wp133nlLQXNzc1m0aBE///wzJpOJF198kTvuuIPZs2eTmppKp06dWLt2\nLa1atbqlOCIiIiIiIvWVxZ6xFStWUFBQwJw5cwgODqagoIDly5ffUtAVK1YwdOhQPv30U3bu3Em3\nbt2IiIhg4MCBfP7557i7uxMREXFLMUREREREROozi8WYnZ0dISEh7Nq1izVr1jBw4ECaN29e5YAX\nLlzgyJEjjBs3DgAbGxtatmxJXFwcfn5+APj5+bFnz54qxxAREREREanvLA5TXL9+PUlJSTz77LNM\nnjyZ7t27s3fv3ir3jqWkpODg4EBISAgnT57kb3/7GwsXLiQrKwtHR0cAHB0dycrKqtL2RURERERE\n/gos9ozFxcWxfPlyYmNj8fb2JjIykp9++qnKAa9cucJPP/3EpEmTiI6OpmnTpuWGJJpMJkwmU5Vj\niIiIiIiI1HcWi7Hi4mIaN27Mvn37GDZsGMXFxRQWFlY5YPv27XFycqJ3794AjBo1ip9++glHR0cy\nMzMByMjIwMHBocoxRERERERE6juLxdjAgQMZM2YMly9fxtXVFX9/fzw8PKocsG3btnTo0IHTp08D\ncOjQIbp3746HhwfR0dEAxMTEMHLkyCrHEBERERERqe9MhmEYllZKTU3FyckJa2trTp48iYuLyy0F\nPXnyJKGhoRQVFdG1a1defPFFiouLmTVrFufOnbM4tX1KSgojRoxg7969dO7c+ZZyERERsUTtjoiI\n1IRKJ/B4/fXXmTlzJiEhIRW+/+KLL1Y5qIuLC1FRUeWWR0ZGVnmbIiIiIiIifyWVFmO9evUC4L77\n7sNkMmEYRpn/i4iIiIiISNVVWozdfffdpKam4ubmZi7CREREREREpHpUWoxNmzYNk8lEfn4+aWlp\n9OjRA2tra06dOkW3bt3YuXNnbeYpIiIiIiLSoFRajO3evRuAoKAg1q5da56K/t///jdr166tnexE\nREREREQaKItT2//222/mQgyuDl9MSkqq0aREREREREQaukp7xkp17NiRNWvW4OXlRUlJCdHR0Tg7\nO9dGbiIiIiIiIg2WxZ6xVatWkZeXx5w5c5g3bx4mk+mWprUXERERERGRm+gZa926NYsXL66NXERE\nRERERG4bFnvGREREREREpPpVWozl5+fXZh4iIiIiIiK3lUqLsccffxyA559/vrZyERERERERuW1U\nes9Yfn4+c+bM4auvvuLSpUvl3tckHiIiIiIiIlVXaTH21ltvcfjwYb7//ntcXV0xDAOTyWT+/60q\nLi5m7NixtG/fno0bN5Kdnc3s2bNJTU2lU6dOrF27llatWt1yHBERERERkfqo0mKsY8eO+Pr64uLi\nQrdu3Th9+jQlJSX06NEDGxuLkzBatHXrVpydnc33pkVERDBw4ECmTp1KREQEERERzJ0795bjiIiI\niIiI1EcWZ1MsKipi9OjRBAcHExISwvDhw0lMTLyloGlpacTHxzN+/Hjzsri4OPz8/ADw8/Njz549\ntxRDRERERESkPrPYxbVixQrWrFlDnz59AEhMTGT58uV8+OGHVQ66cuVK5s+fT15ennlZVlYWjo6O\nADg6OpKVlVXl7YuIiIiIiNR3FnvGCgoKzIUYQN++fSuc0ONm7du3jzZt2nDvvfdiGEaF65hMpmq5\nL01ERERERKS+stgz1rp1a/bs2cPIkSMB+N///V/s7OyqHPBf//oXcXFxxMfHc/nyZfLy8pg3bx5t\n2rQhMzOTtm3bkpGRgYODQ5VjiIiIiIiI1HcWe8aWLVvGxo0bcXNzw9XVlY0bN/LCCy9UOeBzzz1H\nfHw8cXFxvPrqq7i7u/Pyyy/j6elJdHQ0ADExMebiT0REREREpCGy2DN211138eGHH5Kfn49hGLRo\n0aJGEgkICGDWrFlERUWZp7YXERERERFpqG56jvrmzZtXe3BXV1dcXV0BsLOzIzIystpjiIiIiIiI\n1EcWhymKiIiIiIhI9bNYjL333nu1kYeIiIiIiMhtxWIxtm3bttrIQ0RERERE5LZi8Z6x9u3b8/jj\nj9OnTx9sbW3NywMDA2s0MRERERERkYbMYjHWt29fAPNDmA3D0AOZRUREREREbpHFYiwoKIj8/HyS\nk5Pp2bMnhYWFNTKzooiIiIiIyO3E4j1jhw4dwtfXlxkzZpCZmYmnpycHDhyojdxEREREREQaLIvF\n2CuvvMI777xDq1atcHJyYtu2baxatao2chMREREREWmwLBZjJSUltGvXzvy6R48eumdMRERERETk\nFlm8Z6xDhw7ExcUBkJubyzvvvEPHjh1rPDEREREREZGGzGLP2AsvvMCuXbs4d+4cI0eO5MSJEyxb\ntqw2chMREREREWmwLPaMOTo6smbNGvLy8rCxsaFJkya1kZeIiIiIiEiDZrEY++WXXwgODiY59j4u\naAAAIABJREFUORmAbt268dJLL9G1a9cqBTx37hzz58/n/PnzmEwmHnnkER5//HGys7OZPXs2qamp\ndOrUibVr19KqVasqxRAREREREanvLA5TXLRoEUFBQSQkJJCQkMBTTz1FaGholQPa2NiwcOFCYmNj\n2bFjB++88w6//vorERERDBw4kM8//xx3d3ciIiKqHENERERERKS+s1iMXbp0iWHDhplf33///Vy4\ncKHKAdu2bcs999wDQPPmzXF2diY9PZ24uDj8/PwA8PPzY8+ePVWOISIiIiIiUt9VWoxlZ2fzxx9/\ncO+99xIZGUleXh6FhYW8//779O/fv1qCp6SkcOLECXr37k1WVhaOjo7A1fvUsrKyqiWGiIiIiIhI\nfVTpPWMPP/yw+edDhw6xdevWMu8vWrTolgLn5+czc+ZMQkNDadGiRZn3TCaTnmUmIiIiIiINWqXF\nWOmzxWpCUVERM2fO5KGHHmLkyJEAtGnThszMTNq2bUtGRgYODg41Fl9ERERERKSuWZxN8ddff+X9\n998nNze3zPIXX3yxSgENwyA0NBRnZ2eefPJJ83JPT0+io6MJCAggJibGXKSJiIiIiIg0RBaLscDA\nQLy8vLj77rvNy25lCOF3333Hzp07ufvuu/H19QXgueeeIyAggFmzZhEVFWWe2l5ERERERKShsliM\ntW7dmsDAwGoL2L9/f06ePFnhe5GRkdUWR0REREREpD6zWIz5+fmxZs0a3N3dsbH5/6vfd999NZqY\niIiIiIhIQ2axGDt8+DA//PAD33//fZnlb7/9do0lJSIiIiIi0tBZLMaOHz/O559/rqnmRURERERE\nqlGlD30u1bNnT/7973/XRi4iIiIiIiK3DYs9Y0lJSfj5+eHo6EijRo2Aq7Mp7t27t8aTExERERER\naagsFmMbNmzAMIwyyzRkUURERERE5Nbc1AQeFRVfnTp1qpGEREREREREbgcWi7GEhARzMVZUVMR3\n331H//79zQ9sFhERERERkT/PYjEWHh5e5nV2djazZs2qsYRERERERERuBxZnU7xes2bNOHv2bE3k\nIiIiIiIictuw2DPm7+9f5nVycjLDhg2rsYRERERERERuBxaLscDAQPPPJpMJe3t7evToUaNJiYiI\niIiINHSVFmOpqakAdOnSpcL3OnbsWO3JfPnll6xcuZKSkhLGjRtHQEBAtccQERERERGpDyotxiZP\nnlzh8oyMDIqLizlx4kS1JlJcXExYWBj//Oc/cXJyYty4cYwYMQJnZ+dqjSMicqsuX75McnJyjW2/\nS5cuNG7cuMa2LyIiIvVDpcVYXFxcmdf5+fmEh4fz9ddfExYWVu2JHDt2jK5du9K5c2cAvLy82Lt3\nr4oxkVtwuxQNtb2fycnJRL75Kfb2bas91h9/ZPLklAd07hMREbkNWLxnDODgwYMsWrSIQYMGsXPn\nTlq0aFHtiaSnp9OhQwfzaycnJ44dO1btcURuJ8nJyaxavp1WLdtU+7ZzL2Qxf9HEckVDXRSAycnJ\nbPy/O7FvXQPFUU4m0595qNx+2tu3pa1j9Q/XrsztUlhL/aDfN5H6pSb/TerfY926YTGWn5/PSy+9\nxFdffUVYWBiDBg2qsURKHyx9M4qLiwFIS0urqXREGoT09HQKL+ZhY3NT113+lMKLeaSnp2Nra1tm\neVJSEq+veZfmTVtVe8z8wlxmzn6Url27llmenp5OQUEujawbVXvMgoLccvuZnp5OSsqvXLjwR7XH\ny8k5T3p6lwqP69bIj2nZ0q7aY164kM3jT/qUO64NXfv27W/638bt1u4kJSXx3OxFNLKxtbzyn1R0\n5RKvrll+2/2+idyKpKQk3oyIokWL1tW63by8HKYEjNW/x1pQWZtjMgzDqOgDpb1hgwcPZv78+TXS\nG3atxMRE1q1bx5tvvgnApk2bMJlMFU7iceTIER577LEazUdERBq2vXv3mofGW6J2R0REbkVlbU6l\nxZiLiws2Nja0a9eu/IdMJvbu3VutCV65coXRo0cTGRlJu3btGD9+PK+++mqF901cvHiR48eP07Zt\nW6ytras1DxERuT38mZ4xtTsiInIr/nTPWEpKyg03eLNXE/+M+Pj4MlPbT5s2rdpjiIiIiIiI1AeV\nFmMiIiIiIiJSc6zqOgEREREREZHbkYoxERERERGROqBiTEREREREpA6oGBMREREREakDKsZERERE\nRETqgIoxERERERGROqBiTEREREREpA6oGBMREREREakDKsZERERERETqgIoxERERERGROqBiTERE\nREREpA6oGBMREREREakDKsZERERERETqgIoxaRBef/11jhw5AoC/vz+HDx+u8rbGjBlDamrqn/7c\nsmXL8PX1xcvLi169euHr64uvry/R0dFVzuVGtm/fzo4dOwAICQnh3LlzZd7fuHGjOQcXFxfzzxs3\nbmTRokUcP378pmP5+vrecr6PPvoosbGxZZYVFBTg5uZGdnb2TW0jICCAzMzMSt+/cOECzzzzDADp\n6ekEBARUPWERuW3UhzakVGRkJA8++CDe3t74+vry7rvvVrquv78/P/74Y7nlltqHirZz/T4nJCTQ\nr18/fH198fHx4cEHH2Tjxo0Vfv5mzrfr1q1j/fr15ZYnJycTGhp6w89Wt5SUFFxcXFiyZEmZ5SdO\nnMDFxeVPtds//PAD/v7+N1wnODjY4jav/Z4stXXSsNjUdQIi1eHbb7/F3d29WrZlMpmq9LnSk/rZ\ns2fx9/cnJiamWvKpzMSJE80/JyQkUFJSUub96dOnM336dABcXFxuKZ/q2JexY8eya9cuvLy8zMu+\n+OIL3N3dsbOzu6ltRERE3PD9nJwcTpw4AYCTk5PF9UVEoH60IXC1YPnuu+/Ytm0bDg4OnD9/nmee\neYbs7GxmzJhR4WcMwyi3zFL7cLN59+rVi7fffhu4evHswQcf5P7778fZ2bnMejdzvq3suKSmppKU\nlGQxv+pmZ2fHV199RUlJCVZWV/smPvnkExwcHG7pO6yIyWSyuM1rvye1XbcXFWNSLyQkJJivuCUl\nJTFq1ChatmzJnj17MAyDN954gzZt2vDll1+ybt06rly5QufOnQkLC2P//v0cP36cxYsXs27dOgA+\n+OADwsPDyc3NJTQ0FA8PD37//XdCQ0M5d+4cNjY2zJ49myFDhpCTk8P8+fNJTU3lzjvvJD8/v1x+\n77zzDh988EGZZe7u7gQHB5dbt6KG0dPTkz59+nDixAneffddtmzZwjfffEN2djb29vasX78eR0dH\nBg8ezOjRo/nuu++wtrZm7dq1dO7cmZdeeomDBw9ibW2Np6cngYGBrFu3DpPJROPGjcnIyGDatGls\n27btpgobf39/goKCMAzjpo67i4sLJ0+eZN26daSnp3PmzBlSU1MZP34806dPp6ioiKVLl/L999/j\n5OSEyWRixowZuLq6mmOOHj2aVatWkZOTQ+vWrQHYuXMn//jHPzh8+DBr167l4sWL5OTkMG/ePEaP\nHk1wcDDZ2dkkJSUxb948wsLC2LZtG61atWLhwoVkZGSQkZFB//79WbVqFcuXLycjI4OgoCCCg4Px\n9/cnLi6u0u++sv05efIkS5cu5cqVK9ja2vLiiy9yxx13WDyuIlI3GkIbUlhYyFtvvUVsbCwODg4A\nODg4sHz5csaPH89TTz3FG2+8QWJiImlpaTz22GMAbN26lV9++QWAhQsX0r9//0rbh0OHDhEZGcnF\nixe5ePEiK1asoH///jd1jAsKCrCysqJly5ZA2XZt1apVzJo1i7i4ONLS0pg7dy65ubn07NmTb7/9\nlvj4eAzD4IcffmDixIlkZGTw8MMPExgYyPLly0lJSSEsLIxRo0axceNGmjZtyq+//krPnj155ZVX\naNSoETExMWzdupWSkhL+9re/sXTpUkwmEwsXLjTv/6OPPsr48ePZtWsXb775JlZWVnTu3JnVq1fT\nuHHjMvvTrFkz7r33Xr799lvc3NwA+PrrrxkwYIC5Hd+3bx+vvfYaJSUldOnShWXLltGmTRu+/vpr\nwsPDadSoET169DAXWqVtq6urKykpKTz++OPExcWVibtmzZpy7f9HH31U5nt6+OGH2bZtG+3bt2fl\nypV88803mEwmHnroIaZOnUpCQgKbNm2q8DjJX5AhUg988803xt///ncjLS3NKCwsNPr27Wvs2LHD\nMAzDCA4ONrZs2WJkZWUZPj4+Rm5urmEYhvHee+8ZoaGhhmEYxuTJk43Dhw+bfw4LCzMMwzD27dtn\njB071jAMw5g5c6bxz3/+0zAMw0hKSjIGDx5s/P7778ayZcuMV1991TAMwzh69Khxzz33GGfPnq3y\nviQnJxseHh5llnl4eBjR0dGGYRjGmTNnjKCgIPN78+fPN9566y3DMAzj7rvvNvbs2WMYhmGEh4cb\n4eHhxtmzZw0vLy/DMAzj0qVLxrx584xLly4Z69atM9atW2fe/o1yvvvuu8u8Lj1eN3Pcr/3866+/\nbowfP94oKioysrKyjH79+hm5ubnG1q1bjeeee84wDMM4e/as8fe//938fVwrODjY2L59u2EYhpGW\nlmZ4eHgYJSUlRlBQkPGf//zHMAzDOHjwoDFmzBjDMAxjwYIFRnBwcJnjmJKSYuzevdvYuHGj+Zjc\nf//9xo8//mikpKSYj/2130Nl331l+xMcHGx8+umnhmEYRmxsrBETE1PpsRWRutcQ2pCjR48aAwYM\nqPA9Nzc348cffzRef/11w9/f37z82lxPnDhheHh4GJcvX66wfSguLjaeeOIJ448//jAMwzA++OAD\nY9q0aeX2/9pj2rdvX8PHx8fw9vY2+vTpU+58XNquXXu+DQwMNN59913DMAzjf//3f8u0Hw8//LBx\n+fJl4/z580bfvn2N/Px8IyEhwZg8eXKZmGlpaUZJSYkxbtw4Iy4uzjh16pTx6KOPGpcuXTIMwzBW\nr15tbNiwwTh8+LAREBBgGIZh/PHHH+b8RowYYWRlZRmGYRhr1qwxTpw4UWbfSvPdvXu38cILL5iP\nf3BwsBEcHGxER0cbv//+uzFkyBDzd7l582Zj5syZxqVLl4xBgwYZP//8s2EYhrFs2TLzd3Ltcbz2\nmAQHBxsfffTRDdv/a9vx0rZu27ZtRmBgoFFSUmIUFhYa48aNM/bv31/pcZK/JvWMSb3Ro0cPnJyc\nALC3t2fAgAEAdOrUidzcXI4dO8a5c+fMY7OLi4sr7QUaMWIEAM7Ozvzxxx/A1SunK1asAKBLly70\n6dOHo0ePcvjwYV555RUAevfuTY8ePcptr6Krmm5uboSEhNz0/vXu3RuArl27smDBAnbs2MHp06dJ\nTEyka9eu5vWGDBliPh7ffvstTk5O2NraMmnSJDw8PHj22WfLXeG7FZaO+/Xc3d2xsbHBwcEBOzs7\nLly4wMGDB5kwYQIAHTt2NG/jemPHjuW1115jwoQJ7Nq1Cx8fH0wmE6tXryYuLo5PP/2Uo0ePUlhY\nCFwd2tGnT58y2zCZTHh5eXHs2DEiIyP5z3/+Q3Z2NgUFBbRq1arCuJV99yaTqdz+5OXlMXz4cJYt\nW8aBAwfw8PBg9OjRVTiyIlKb/uptiMlkori4uMJ8rly5Yh7qVtqWlBo/fjxwdTi6nZ0d//nPfyrc\nhpWVFevXrycuLo7Tp0/z7bffYm1tXeG6pa4fpjht2jQiIiLM94ddnwvAwYMHeemllwAYOXJkmfPy\n0KFDadSoEfb29tjb25OTk1NuNEnPnj3N36OzszM5OTmcPXuWM2fO8MgjjwBQVFTE3/72NyZNmsTp\n06eZMmUKw4YNY+7cuQB4eHgwadIkRowYwahRo3Bxcalw/4YPH86aNWswDINPP/2UBx98kE8++QTD\nMDh27Bi9e/emY8eOAEyYMIGIiAhOnTpFu3bt6N69OwDjxo1j5cqVNzyOpSy1/9dLSEjAz88Pk8lE\nkyZN8Pb25tChQ3h6elZ4nOSvScWY1BvXd69f30gUFxfz97//nf/5n/8B4NKlSxUOBwGwsbn6q20y\nmcwn+utP+IZhmBu+a8fTV9Q4PfbYY+YhIVXVpEkTAI4fP86cOXN46qmnGD16NNbW1mVyu77Qsra2\n5oMPPuDw4cPEx8czYcIEtm3bdku5XMvScb9W6bCXaxmGgbW1daV/RFyrf//+ZGZmkpaWxq5du8w3\nc0+aNIkBAwbg6urKgAEDmDNnjvkztra25eK9/fbbfPHFF0yYMIFBgwbx888/Vzg89NrPXP+6NN+K\n9mfUqFH07duX/fv3s2XLFuLj4wkLC7O4fyJSd/7qbUj37t0pKiri9OnT3HXXXeblP//8MyUlJeZl\npW1JRfEMwzDnfr38/HzGjh2Ln58frq6uuLi4/Km2pFmzZowcOZJDhw6Zl12fS2k+Fd2jZjKZyh2b\nis7b156TS49/SUkJo0ePZtGiReZ9KS4uplWrVuzevZuDBw8SHx+Pn58fsbGxhIaGMm7cOOLj45k3\nbx6BgYE89NBD5WI1b94cFxcXjhw5QkJCAnPnzuWTTz6pMLeSkhJzUXzte6X3m12bL1wtoK9nqf2/\nnmEYZd4vzaGy4yR/TZpNUeq90hNMnz59SExM5LfffgNgw4YNvPzyy8DVhrOiE9+13Nzc+PDDD4Gr\nszd9//339OvXj0GDBplnOfr3v//NqVOnamhPrjpy5Ahubm5MmDABZ2dnvv766xveXH3y5EkmT57M\nfffdx4IFC+jevTunT58us87N7P/1LJ24K3q/ss8MHDjQ3IClp6dz+PDhSm9W9vPzY8OGDdjZ2dGl\nSxeys7M5c+YMM2fOZOjQoeYbqm8Ur7QnbsyYMcDVY1RcXIyNjU2FRWFl331l+zhnzhx++OEHJkyY\nwMyZMyucrUxE/hr+Km1I06ZNmT59OqGhoZw/fx6ArKwsFi9ezNSpU2nSpEmF56xdu3YBV2f1y8/P\n54477iizXum+/fbbb1hbWzNt2jTc3NyIj4+/qYk9ShUXF3P48GH+9re/3XC9gQMHmnOKj483j7Co\n7Hx+MxfzXF1d2bNnD+fPn8cwDJ5//nm2bt3K/v37mTdvHsOHDyc0NJRmzZpx9uxZRo0ahb29PQEB\nAfj4+JgndqrIAw88wCuvvEKvXr3MxWLpqIzExETOnj0LwI4dO3B3d+fuu+8mKyuLn376CYDdu3eb\nt2Vvb8/PP/8MwJ49e8rFulH7X9HvoLu7OzExMZSUlFBYWMju3btxd3dX4dXAqGdM6oUbzTRUutzR\n0ZGVK1cya9YsiouL6dChg7khHTJkCM8//zzh4eGVfn7RokUsWbKEqKgoTCYTK1aswNHRkaCgIEJC\nQvDy8qJr165069atWvanMg888ABBQUH4+vpib2/P0KFDSUlJKfe50p9dXFzo27cvY8aMoWnTptx7\n770MHTq0TIEwfPhwpk6dyltvvUWnTp1uKp/SZZaOu6V1TSYTjzzyCCdPnsTb25u2bdvSsWPHcj1a\npXx9fRkxYoR5WIednR3jx4/Hy8uLNm3acP/993P58mUKCwvL/V6Uvn7iiSfMjXHHjh3x8PAgJSWF\n/v3706FDB5544glWrlxp8buvbH+mTp3KokWL2LBhA9bW1ixcuLDCfRGR+qGhtCEBAQG0atWKJ598\n0vwH96RJk3j00UfL5HKt7OxsfH19sbGxYfXq1djY2JRZb/jw4QQEBPDGG29wzz338MADD+Dg4MCo\nUaP45ptvKs3FZDJx/Phx86NNCgsL6d27N1OnTq10fbg6iciCBQt4//33cXFxMU/YVNn30717dy5c\nuMCCBQsYO3ZsufVMJhMuLi4888wzPPHEE5SUlHDvvfcSEBCAlZUVn332GV5eXtja2pqHJM6cOZN/\n/OMfNGnShNatW9/wey0t5GbNmlXm/TZt2hAWFkZgYCBFRUV06tSJFStWYGNjw5o1awgJCcHa2ppe\nvXqZt/V//s//ITg4mKioKEaMGFGu/bpR+1/6PW3evNm8/oQJEzh9+jQ+Pj4UFRXh4+PDyJEjSUhI\nqPA4yV+Tyaih8jokJIT4+HjatGljvkKSnZ3N7NmzSU1NpVOnTqxdu9Y8lnjTpk1ERUVhZWXFokWL\nGDx4cE2kJSI1oHSmrOHDh3PhwgX8/Pz46KOPKr2HS0REGqa3336bgQMH4uzszI8//mguYEWkYjVW\njB05coRmzZqxYMECczG2atUq7O3tmTp1KhEREeTm5jJ37lx++eUX5syZw4cffkh6ejr/+Mc/+Pzz\nz8uMwxWR+islJYX58+dTUFAAwJQpU/D29q7jrEREpLZ9+eWXvPLKK1hZWWFra8vSpUu555576jot\nkXqrxooxuPoH2tNPP20uxkaPHs22bdtwdHQkMzMTf39/PvvsMzZt2oTJZDLPzjNlyhSCgoLo27dv\nTaUmIiIiIiJSp2q16ykrKwtHR0fg6tjtrKwsADIyMmjfvr15vfbt25Oenl6bqYmIiIiIiNSqmyrG\nLl++DMBvv/3G/v37/9TsO5W50c22pe9X5sqVK6SkpPzp2eNERESqQu2OiIjUBIvF2Pr16wkNDeXs\n2bNMnjyZyMhIlixZUqVgbdq0ITMzE7jaG+bg4ACAk5MTaWlp5vXS0tLMD7KrSFpaGiNGjCjzGRER\nkZqidkdERGqCxWIsLi6OFStWEBsbi7e3N5GRkeZnK/xZnp6e5mdxxMTEMHLkSPPy2NhYLl++THJy\nMmfOnKnwqe4iIiIiIiINhcXnjBUXF9O4cWP27dvHs88+S3FxMYWFhRY3/Nxzz3H48GGys7MZNmwY\nM2fOJCAggFmzZhEVFWWe2h6uPmPigQcewMvLC2tra5YuXarnJYiIiIiISINmsRgbOHAgY8aMwdbW\nFldXVyZPnoyHh4fFDb/66qsVLo+MjKxw+fTp05k+fbrF7YqIiIiIiDQEFouxBQsW4O/vj5OTE1ZW\nVixZsgQXF5fayE1ERERERKTBsnjPWHZ2Nhs2bODJJ5/k/PnzbNmyhZycnNrITUREREREpMGyWIwt\nXryYXr16kZ2dTfPmzWnXrh3z5s2rjdxEREREREQaLIvFWEpKChMnTsTa2hpbW1tmz57NuXPnaiM3\nERERERGRBstiMWZjY8OFCxfMr3/77Tesra1rNCkREREREZGGzuIEHkFBQfj7+3Pu3DmefvppEhMT\nWblyZW3kJiIiIiIi0mBZLMaGDh1Kr169OHbsGMXFxYSFheHo6FgbuYmIiIiIiDRYlRZj27dvZ+LE\niaxfv77M8hMnTgAQGBhYs5mJiIiIiIg0YBbvGRMREREREZHqV2nP2MSJE4GrsymGh4fXWkIiIiIi\nIiK3A4s9Y6dOnSIvL682chEREREREbltWJzAw8rKCg8PD+666y5sbW0BMJlMbN26tcaTExERERER\naagsFmPz5s0DrhZghmGYf74VmzZtYufOnVhZWdGzZ09efPFFCgoKmD17NqmpqXTq1Im1a9fSqlWr\nW4ojIiIiIiJSX1kcpujm5oa1tTW//vorffv2xcrKCldX1yoHTElJ4f333yc6Oppdu3ZRXFxMbGws\nERERDBw4kM8//xx3d3ciIiKqHENERERERKS+s1iMRUZG8tprrxEZGUl+fj6LFy9m8+bNVQ7YokUL\nbGxsKCws5MqVK1y8eJF27doRFxeHn58fAH5+fuzZs6fKMUREREREROo7i8VYdHQ0b775Jk2bNsXB\nwYEPP/yQqKioKge0s7PjqaeeYvjw4QwZMoSWLVsyaNAgsrKyzA+TdnR0JCsrq8oxRERERERE6juL\nxZi1tTWNGzc2v27SpAk2NhZvNatUUlISW7ZsIS4ujgMHDlBQUMDHH39cZh2TyXTL96WJiIiIiIjU\nZxarqvvuu4/w8HAKCgrYs2cPO3bswM3NrcoBjx8/Tr9+/bC3twfg/vvvJzExEUdHRzIzM2nbti0Z\nGRk4ODhUOYaIiIiIiEh9Z7FnbMGCBdxxxx24uLgQExPDsGHDCA4OrnLAbt26cfToUS5evIhhGBw6\ndIju3bvj4eFBdHQ0ADExMYwcObLKMUREREREROo7iz1jK1euxMfHh0mTJlVLQBcXF3x8fBg7dixW\nVlbce++9PPLII+Tn5zNr1iyioqLMU9uLiIiIiIg0VBaLsTvvvJOVK1eSnZ2Nt7c3Dz30EJ07d76l\noFOnTmXq1KllltnZ2REZGXlL2xUREREREfmrsDhMcfLkybz33nts3rwZW1tbZsyYUW29ZCIiIiIi\nIrcri8UYwIULFzh48CBff/01JSUlDB48uKbzEhERERERadAsDlP8f+3deVyVdd7/8fcR3NJcQXAt\nxS2nB2q5kFkKMWrhAi5NmXiXTlQGbpRpaJPi2iald7fSxpiO1UiQqeWkmGluk42ao1Z2W4KsoUgg\nyfb9/eHPc8sEHjqcA3h8Pf+R6yzX53NdR78fP3yv63sef/xx/fvf/9aQIUM0bdo09ezZszryAgAA\nAACXZrMZGzdunFauXFml7xYDAAAAAJRl8zLFXr16KTIyUv3799ftt9+uJ598Uj///HN15AYAAAAA\nLstmM/bcc8/J19dX27dv144dO9SrVy9FRUVVR24AAAAA4LJsNmPJycmaPHmyGjdurCZNmujRRx/V\nmTNnqiM3AAAAAHBZNpuxOnXqKDU11bp95swZ1a1b16lJAQAAAICrs7kqx7Rp0/TAAw/I19dXknTo\n0CFFR0c7PTEAAAAAcGU2mzF/f3/17NlThw8fljFG8+fPV8uWLasjNwAAAABwWTYvU9y3b5+mTJki\nf39/3XTTTRo3bpwOHjxYHbkBAAAAgMuy2YwtXbpUCxYskCT5+PjojTfe0KJFi5yeGAAAAAC4MpvN\nWGFhobp27Wrd9vHxUUlJiVOTAgAAAABXZ/OesY4dO+rFF1/UqFGjZIzRli1bdPPNN1cpaG5urubO\nnavvv/9eFotFS5Ys0U033aQZM2YoNTVVbdu2VUxMjJo0aVKlOAAAAABQW9mcGVu0aJFXHam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usu3XXXXZIuNTxTp05V37597drXwoULq5SLJI0ZM0bjxo3TX/7yF+u5S01N1U8//aRBgwZVah9T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\nNWokHx8fZWRkKCkpS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"text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For more information on plotting with Seaborn, see the [seaborn documentation](http://stanford.edu/~mwaskom/software/seaborn), the [seaborn gallery](http://stanford.edu/~mwaskom/software/seaborn/examples/index.html), and the official [seaborn tutorial](http://stanford.edu/~mwaskom/software/seaborn/tutorial.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Exploring New York City Marathon Data\n", "\n", "*Download this data at https://www.dropbox.com/s/tfy7ygsih7go37j/NYCMresults_2008.csv*\n", "\n", "*Move the file into the ``data`` directory to use it below*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nyc_data = pd.read_csv('data/NYCMresults_2008.csv')\n", "nyc_data.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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MARILSONGOMES DOS SANTOS31M1:06:072:08:43
0ABDERRAHIMGOUMRI32M1:06:062:09:07
1DANIELRONO30M1:06:062:11:22
2PAULTERGAT39M1:06:062:13:10
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" ], "metadata": {}, "output_type": "pyout", "prompt_number": 36, "text": [ " MARILSON GOMES DOS SANTOS 31 M 1:06:07 2:08:43\n", "0 ABDERRAHIM GOUMRI 32 M 1:06:06 2:09:07\n", "1 DANIEL RONO 30 M 1:06:06 2:11:22\n", "2 PAUL TERGAT 39 M 1:06:06 2:13:10\n", "3 ABDERRAHIME BOURAMDANE 30 M 1:06:06 2:13:33\n", "4 ABDI ABDIRAHMAN 31 M 1:06:06 2:14:17" ] } ], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "nyc_data.dtypes" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 37, "text": [ "MARILSON object\n", "GOMES DOS SANTOS object\n", "31 int64\n", "M object\n", "1:06:07 object\n", "2:08:43 object\n", "dtype: object" ] } ], "prompt_number": 37 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that Pandas assumed the first row was column labels. Also, we see that the times are of dtype \"object\".\n", "Let's fix both of these by providing a list of column names, and by providing a converter for the times:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def convert_time(s):\n", " h, m, s = map(int, s.split(':'))\n", " return pd.datetools.timedelta(hours=h, minutes=m, seconds=s)\n", "\n", "nyc_data = pd.read_csv('data/NYCMresults_2008.csv',\n", " names=['first', 'last', 'age', 'gender', 'split', 'final'],\n", " converters={'split':convert_time, 'final':convert_time})\n", "nyc_data.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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firstlastagegendersplitfinal
0MARILSONGOMES DOS SANTOS31M01:06:0702:08:43
1ABDERRAHIMGOUMRI32M01:06:0602:09:07
2DANIELRONO30M01:06:0602:11:22
3PAULTERGAT39M01:06:0602:13:10
4ABDERRAHIMEBOURAMDANE30M01:06:0602:13:33
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" ], "metadata": {}, "output_type": "pyout", "prompt_number": 38, "text": [ " first last age gender split final\n", "0 MARILSON GOMES DOS SANTOS 31 M 01:06:07 02:08:43\n", "1 ABDERRAHIM GOUMRI 32 M 01:06:06 02:09:07\n", "2 DANIEL RONO 30 M 01:06:06 02:11:22\n", "3 PAUL TERGAT 39 M 01:06:06 02:13:10\n", "4 ABDERRAHIME BOURAMDANE 30 M 01:06:06 02:13:33" ] } ], "prompt_number": 38 }, { "cell_type": "markdown", "metadata": {}, "source": [ "That looks much better. For the purpose of our seaborn utilities, let's add columns which give the times in seconds:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nyc_data['split_sec'] = nyc_data['split'].astype(int) / 1E9\n", "nyc_data['final_sec'] = nyc_data['final'].astype(int) / 1E9" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "with sns.axes_style('white'):\n", " g = sns.jointplot(\"split_sec\", \"final_sec\", nyc_data, kind='hex', stat_func=None)\n", " g.ax_joint.plot(np.linspace(4000, 16000),\n", " np.linspace(8000, 32000), ':k')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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V8sczppxaQ4+Cs+hDOk5JHUYklwkuUThyBijTDiblCiAMPzJmFIVCsJLnsrJ+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"text": [ "" ] } ], "prompt_number": 40 }, { "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", "\n", "Let's create another column in the data, the split fraction, which tells whether someone did a negative split or positive split:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nyc_data['split_frac'] = 1 - 2 * nyc_data['split_sec'] / nyc_data['final_sec']\n", "nyc_data.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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firstlastagegendersplitfinalsplit_secfinal_secsplit_frac
0MARILSONGOMES DOS SANTOS31M01:06:0702:08:4339677723-0.027321
1ABDERRAHIMGOUMRI32M01:06:0602:09:0739667747-0.023880
2DANIELRONO30M01:06:0602:11:2239667882-0.006344
3PAULTERGAT39M01:06:0602:13:10396679900.007259
4ABDERRAHIMEBOURAMDANE30M01:06:0602:13:33396680130.010109
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 41, "text": [ " first last age gender split final split_sec \\\n", "0 MARILSON GOMES DOS SANTOS 31 M 01:06:07 02:08:43 3967 \n", "1 ABDERRAHIM GOUMRI 32 M 01:06:06 02:09:07 3966 \n", "2 DANIEL RONO 30 M 01:06:06 02:11:22 3966 \n", "3 PAUL TERGAT 39 M 01:06:06 02:13:10 3966 \n", "4 ABDERRAHIME BOURAMDANE 30 M 01:06:06 02:13:33 3966 \n", "\n", " final_sec split_frac \n", "0 7723 -0.027321 \n", "1 7747 -0.023880 \n", "2 7882 -0.006344 \n", "3 7990 0.007259 \n", "4 8013 0.010109 " ] } ], "prompt_number": 41 }, { "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", "collapsed": false, "input": [ "sns.distplot(nyc_data['split_frac'], kde=False);\n", "plt.axvline(0, color=\"k\", linestyle=\"--\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ydPbsWTmdTgUCAS1cuFDS5RG3z+eLrufz+eRyuWIuLygoiPs8CxZkKS3NPpUS\nE4rTyQU6icLpzFF6uilHdoaysjNirjM6nCGb3a4cx8y0z8ZzWKHG/uHP5MhOn/L2duOS8vMdys3l\n9TUdeJ+ytimFucfj0aFDh7Rhwwa1trZq1apV0eVbt27V+vXr5ff71dfXJ7fbLcMw5HA41NvbK7fb\nrba2NtXU1MR9nvPnh6ZSXkJxOnN09uzgXJcB/akvBgeDCobCGjNj//MPDYVl2NKUdkN4Rtpn4zms\nUKMkBUMjU95+eCisc+eCGhnhzOD14n0qcUz1oCpumG/ZskUnTpzQhQsXVFZWpo0bN2rDhg3atGmT\nWlpaol9Nk6SSkhJVVFTI6/XKbreroaEhegq+oaFB9fX1CofDKisrU2lp6ZQKBqaiosIju92ml1/m\nwksAySdumD/77LMxl7/wwgsxl9fV1amuru6q5UuWLIl+Tx0AAEwfpk4CAMDiCHMAACyOMAcAwOII\ncwAALI67piElvPJKN1+/AZC0GJkDAGBxhDkAABZHmAMAYHGEOQAAFkeYAwBgcYQ5UkJFhUfLli2b\n6zIAYEYQ5gAAWBxhDgCAxRHmAABYHGEOAIDFEeYAAFgcc7MjJTA3O4BkxsgcAACLI8wBALA4whwA\nAIsjzAEAsDjCHAAAi+NqdqSEigqP7HabXn65c65LwTSJRCIKBoNx18vOzpbNxrgFyY0wB2BJoyPD\n6nl3QLnzbxx3nZHwsFZ+rVg5OTmzWBkw+whzAJaVnpGpzCzHXJcBzLnrCnOPx6Ps7GzZ7XalpaXp\n4MGDunDhgjZv3qyPP/5YixYt0r59+5SbmytJampqUktLi2w2m3bs2KE77rhjWnYCAIBUdt0fJP3s\nZz9Ta2urDh48KElqbm7WihUr9Oqrr2r58uVqbm6WJJ05c0YdHR1qb2/X/v37tXPnTkUiket9egAA\nUt51h7lpmlf83t3drerqaklSdXW1OjsvX3DU1dUlr9erefPmqaioSIsXL9Z77713vU8PAEDKu64w\nNwxDtbW1uvvuu/Xv//7vkqT+/n7l5+dLkvLz89Xf3y9JCgQCcrlc0W1dLpf8fv/1PD0waa+80q3j\nx4/PdRkAMCOu6zPzX/ziFyooKNCnn36q2tpa/eVf/uUV7YZhyDCMcbefqA0AAEzOdYV5QUGBJGnh\nwoX61re+pffee095eXk6e/asnE6nAoGAFi5cKEkqLCyUz+eLbuvz+VRYWDjh4y9YkKW0NPv1lJgQ\nnE6+FpOcyc+0AAAMZElEQVQonM4cpaebcmRnKCs7I+Y6o8MZstntynHMTPtsPIcVauwf/kyO7PQZ\n3Qe7cUn5+Q7l5vIajIf3KWubcpgPDw9rbGxMDodDQ0NDOnbsmB599FF5PB4dOnRIGzZsUGtrq1at\nWiXp8pXvW7du1fr16+X3+9XX1ye32z3hc5w/PzTV8hIGt91MHJ/3xeBgUMFQWGNm7H/+oaGwDFua\n0m4Iz0j7bDyHFWqUpGBoZEYff3gorHPnghoZ4SzgRHifShxTPaiacpifO3dOjz76qCRpbGxMa9eu\n1R133KElS5Zo06ZNamlpiX41TZJKSkpUUVEhr9cru92uhoYGTrMDADANphzmf/7nf662trarlt94\n44164YUXYm5TV1enurq6qT4lAACIgQmLkRIqKjxatmzZXJcBADOCMAcAwOIIcwAALI4wBwDA4ghz\nAAAsjlugAkhakUhEwWBwwnWys7NlszGugbUR5kgJr7zSzcQYKWh0ZFg97w4od/6NMdtHwsNa+bVi\n5eQw+xmsjTAHkNTSMzKVmeWY6zKAGUWYI+lEIhGFQqGrlqenm5encg0GZUbMGFsCgDUR5kg6oVBI\nXW9+oPSMzCuWO7IzFAyF9dn5fmVkOZQ1R/UBwHQjzJGUYp1azcrO0JiZpvDw1aN2ALAyLuEEAMDi\nCHOkhJ1b79fjD39nrssAgBlBmAMAYHGEOQAAFkeYAwBgcYQ5AAAWx1fTAKQs5m5HsiDMkRIafvx/\nlePI0GAwPNelIIEwdzuSBWEOIKUxdzuSAeeOAACwOMIcAACLI8wBALA4PjMHgHFwtTusgjBHSti5\n9X7ZbIae3PvzuS4FFsLV7rCKWQ/znp4e7dmzR5FIRPfcc482bNgw2yXA4iKRiEKh8W9jGgwGZUbM\nWawIyYyr3WEFsxrmY2Nj+uEPf6if/vSnKiws1D333KOVK1equLh4NsuAxYVCIXW9+YHSMzJjtn92\nvl8ZWQ5lzXJdSD2chkeimNUwf++997R48WIVFRVJkrxer7q6ughzXLOJRkvh4fFH7cB0incafngo\npNv/95fkcEw8sifwcb1mNcz9fr++9KUvRX8vLCzUe++9N5slYIbFOwUeiUQkadw3rnjtEqfRkVji\nHVj2vPv/xg17KX7gT8drhoOF5DerYW4Yxmw+3TUxTVPvvPuOLl26NO46BU6n8vLyr+lx09NNDQ5O\nfBoumQSDQR195w9KT8+I2f7ZZ5/KZtiVkzt/Su2fr5OZmSPDFvvf00g4LMNm1/DQn/7upmnKNKXh\noWDM9njbT2f7bDyHFWq8ODqkkfCYpfdhsu0TGR0J6zdvnJ7yayJe+8hIWGVf/V8Tnh1ItfepuTKT\nF0rOapgXFhbqk08+if7u8/lUWFg47vpO5+xeIbq6vGxGHjc3N3dGHjdRud03zXUJV/k/d70z1yUA\nCS3V3qeSzayed1myZIn6+vr00UcfaXR0VB0dHVq5cuVslgAAQNKZ1ZF5WlqannzyST344IPRr6Zx\n8RsAANfHME2TK4kAALAwLm8EAMDiCHMAACyOMAcAwOII82l24cIF1dbWavXq1XrggQc0MDBw1Tqf\nfPKJampq5PV6deedd+rAgQNzUGny6unp0Zo1a1ReXq7m5uaY6+zatUvl5eWqrKzU+++/P8sVpo54\nffHSSy+psrJSa9eu1b333qvTp0/PQZWpYTKvC+nyTJ233nqrjhw5MovVpZ7J9Mfx48dVVVWlO++8\nUzU1NRM/oIlp9aMf/chsbm42TdM0m5qazL179161TiAQMN9//33TNE0zGAya5eXl5pkzZ2a1zmR1\n6dIlc9WqVeaHH35ojo6OmpWVlVf9bf/rv/7L/Lu/+zvTNE3z3XffNdetWzcXpSa9yfTFb3/7W3Ng\nYMA0TdM8evQofTFDJtMXn69XU1NjbtiwwfzP//zPOag0NUymPz777DPz29/+tvnJJ5+Ypmma/f39\nEz4mI/Np1t3drerqaklSdXW1Ojs7r1rH6XTqlltukXR5msXi4mIFAoFZrTNZfXH+/3nz5kXn//+i\nrq6uaB/ddtttGhgY0Llz5+ai3KQ2mb746le/Gp0V67bbbpPP55uLUpPeZPpCkn72s59p9erVWrhw\n4RxUmTom0x+HDx9WeXm5XC6XJMXtE8J8mvX39ys///KUr/n5+erv759w/Y8++kinTp2S2+2ejfKS\nXqz5//1+/xXrBAKB6AtEklwuFyEyAybTF1908OBBlZXNzCyMqW4yfeH3+9XV1aX7779fUmJPv211\nk+mPvr4+ffbZZ6qpqdHdd9+t1tbWCR9z1u9nngxqa2tjjuQ2bdp0xe+GYUz4ggiFQtq4caO2b9+u\n7Ozsaa8zFU32Dcj8H9Mr8MY1/a7lb/rGG2+opaVFv/jFL2awotQ1mb7YvXu3vv/978swjD/ey4Ap\nSGbKZPrj0qVLev/99/XCCy9oeHhY9957r/76r/9aX/7yl2OuT5hPwU9/+tNx2/Ly8nT27Fk5nU4F\nAoFxT41cvHhRGzduVGVlpVatWjVTpaacycz/X1BQcMVIPN49AjA1k70Xw+nTp/Xkk09q//79mj9/\n/BvsYOom0xe///3vtXnzZknS+fPn1dPTo7S0NKbcngGT6Q+Xy6UFCxYoIyNDGRkZWrp0qU6fPj1u\nmHOafZp5PB4dOnRIktTa2hozqE3T1Pbt21VcXKz169fPcoXJbTLz/69cuTJ6yurdd99Vbm5u9KMR\nTJ/J9MXHH3+sxx57THv37tVf/MVfzFGlyW8yfdHV1aXu7m51d3drzZo1amxsJMhnyGTfp95++22N\njY1peHhY7733nkpKSsZ9TEbm02zDhg3atGmTWlpatGjRIu3bt0/S5c9InnzySTU3N+vtt9/WSy+9\npJtvvllVVVWSpC1btqi0tHQuS08K483//8tf/lKSdO+996qsrExHjx7Vt771LWVmZuof//Ef57jq\n5DSZvviXf/kXDQwMqLGxMbrNwYMH57Dq5DSZvsDsmUx/FBcX6xvf+IYqKytls9m0bt26CcOcudkB\nALA4TrMDAGBxhDkAABZHmAMAYHGEOQAAFkeYAwBgcYQ5AAAWR5gDKaKmpkYnTpzQyZMntWPHDknS\nr371K7W3t0+4XTAY1N13363q6mr19fXNRqkArhFhDqQQwzC0ZMkS7dq1S5L0zjvvaHR0dMJtTp06\npRtuuEGHDh1iljYgQTEDHGBhPp9P3//+9zU8PCybzabt27dry5YtKi8v1/HjxyVJe/bsid5y1zRN\nHT9+XP/8z/+sv//7v9drr72m48ePq6CgQF//+tevevz+/n5t27ZN586d08MPP6zy8nL9x3/8hy5c\nuCCPxyOv16sf/vCHGh4e1qeffqra2lrV1NTowoUL2r59u/7whz/ohhtu0BNPPKHly5fP6t8GSCWM\nzAELO3jwoL75zW+qpaVFP/jBD/Tb3/5W0uV7Hx86dEgbN27UP/zDP0TX/+Ldmm6//XZ5PB5973vf\nixnk0uUbB+3evVtLlizRv/7rv8o0TQUCAbW1tWnz5s06ePCgHnnkER08eFD/9m//pp/85CeSpH/6\np3/Sl7/8ZXV0dOiZZ56JTmsMYGYQ5oCFrVixQs8//7y2bt0qv9+v7373u5Kk++67T5L0zW9+U36/\nX+fPn5d09a1fx1s2Ufutt94qm+3yW8cTTzyhcDis5uZm/eQnP9Hw8LAk6a233tJdd90lSbrpppui\nc04DmBmEOWBhf/M3f6P29nZ94xvfUEdHh+rq6iQpGraSFIlEZLfbJcW+j/K13ss9IyMj+v/f+973\n1NXVpZKSEm3ZsiUa/GlpaVccBHzwwQfcHxuYQYQ5YGE//vGP1dbWpqqqKj355JN6//33JUmHDx+W\nJP3mN79RcXGxcnNzJV09yrbb7bp48eKUn//111/XY489Jo/HoxMnTki6fPCwdOlSdXR0SLoc5A89\n9NA1HzQAmDwugAMs7Lvf/a62bt2qQ4cOyWazqbGxUXv37tWbb76pX/7yl8rKytKPfvSj6PqfB+rn\n/12xYoWeffZZzZ8/X+Xl5TGfwzCMq7b73GOPPab7779f+fn5Wrp0qYqLi/Xf//3f2rhxo3bs2KG7\n7rpLdrtde/funYndB/BH3AIVSDIej0e//vWvlZeXN9elAJgljMyBJDOV09kvvPCCWltbr1peWFio\npqam6SgLwAxiZA4AgMVxARwAABZHmAMAYHGEOQAAFkeYAwBgcYQ5AAAWR5gDAGBx/x8yTPscH6qF\nawAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 42 }, { "cell_type": "code", "collapsed": false, "input": [ "sum(nyc_data.split_frac < 0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 43, "text": [ "240" ] } ], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": {}, "source": [ "There were 240 people who negative-split their race.\n", "\n", "Let's see whether there is any correlation between this split fraction and other variables. We'll do this using a `PairGrid`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "g = sns.PairGrid(nyc_data,\n", " x_vars=['age', 'split_sec', 'final_sec'],\n", " y_vars=['split_frac'],\n", " hue='gender', palette=['r', 'b'], size=4)\n", "g.map(plt.scatter, marker='.')\n", "g.add_legend();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HO79yJ9MDfhLRCFsffxIzmeDzUypRr7w257XYnS/NnQkeeq0FFGXEKV42VdNk\nmrkQk8Delm6nAM3fl4SoTvdkE69R9psdzpAK9JlOLNU0WfnZELVz6ggmZtHxlxfof+ctel55icLZ\nsyk65zyq33mLFS0vMfW66zKxo4T537wN359eoKmhiecT06FiOisir+Ts3aj8ZR9f/EwhN85S8G9a\nh6pqNHcmqJ9/AfErG+CVl1jc9hZ/nno5L+xOoaKgYbJ381bKWxpA1TCnXQkGpNo7gOz2RdGHf0NV\nb5T2klBmev+BIbEteNMttPTqbFv9JEYiQWxKJfNuWT5s3YnBBQLds7Dyxcyxvv/i+JQ3efy3f/s3\nHnjAaszW19fz61//mnvvvZennnrqqN/c8WTwaBpAWybhSN14C+nMNIT+3Q3oz/8OsKqtpg5azw+V\n+vjWxVYhHV9NDT969F0A7qhPWAuzgXRXF62F1jTGSiA1kHSu3VZT40zxWuEtxTS7nHszU1ZADSY6\nuar1LQCmnXcRsUzv1UedKusqzrXOtS1KQrUCSlNjlOkBP339RYR3RoinrQZgeGcjtdXzrHWaQDCU\nrV7WPe0U/qfGGhH5ejxJQeYe9oc7eHRPHwD33Xz+0OI7DA1E3Zs38beH/weAM77y5RH3jXQX2FAy\nU3/9oZqcarT2KOtAuDNnhMPetmDwud2jrpHtu52RVRh5s3WZ1iHGi6+mBrUgDEDotq9Slewccb3v\nYNXJLidBrE520VduoPf35/wcIPanJ9FUlakLrqAB0FEwUOjSitAwMXSDtVUXoWFyfdNBnu0MYFRe\nyOmx7eiZzitT85LSU2gofPyHZ1nr/wwA36SDAp+PWEEAAxUN2HnQS7SnF+MPf2BN8AoMFHRFIf1h\njBe2d/Ptlec6RbgMXafdU4pedfmQKbBu0jsuxOQxEG7koG6NBiqaytTbvsr0gN/5bEYHTV0f7TyQ\nmWH0yCrQNMqXXEV1vCMT2xRmNZ1P+UlWW8ZfW0v/O1bbJ97Q4HxdnerGfP4PdFcVUzb/Aro3b6Jn\n3WuklUL0KmultVIegPbs3ox6Ms2aD3utuDfvfCvuvdjI597fzZyyAAWaRpOvirQJKDC/ZxfF6YM8\nW3EWWuV0VrS9zvmRzbxZdiar32gkkOrh5NnT8YdqaC+sggKDwLXXY3yYxNRNIjFrZkX35k20PbKK\nVp+1zChddTm6qZDWvLz4cjPfvrlmSOJox0oVQNNQvnJnzrKisZI4euLJmzwmk0nmzJnjfF9fX49+\nCHtvHW+aA6VJAAAgAElEQVRGGtIfbuuE2uqSEUe0EtHsdNP9W3eTUq0yzU0NeyjNVFv17NiOwmkA\ndL65gdK/WQFtT/8tDKSsJOjj/d28MW0xANeGm3g+sx7pxkg3imuk0i0eDjujmP07djBgWilcPK7w\nQvXFAEzbG2FAs15jfNcn4LUKXBTEIvhUK/krCjey+dXnUBWFwLXX49GtKouhUh/h1l5+9IiV4H7n\n1vMpv9oaHWjraMdMJADQe7JTLvWeHoy4db2+bVupveIi530dvGYBrAC1P9xhjXYApeEOTmL4RM/9\nnpuJAecasWefBhhSztpOKhPRSHbbgjus8w6X1PpDNXmL5Ix1RFGCsDgSgolOVrS8AsD0wB3A6KNq\n9u+nmbKqBFaT7VyyG1JD6DroulWV2VcOikJa9bKx4iwujn1En1bI38rmoKMQ+biBdOXZJFUvmwOn\nQyZWgJVApoEP0wESU6yS+S1NByj2lvFixfnoaYOzZlfyh3V7AJPLNSvGKl4PiqJZ0wmMobGuOt3D\nTZ0bKL/4GsyHH6KJ4T978jkTYuLZMUhVFO687f/FV5Ob7PhDNUOKwIx2HnTdWoKSTKL4C5yf251f\nPa+8RM+rL2c7izVt6Lpn08SIx4n+ytr662+P/I41oYUYKJiKgmqa7D7opcM/lbn9YVa0vMSegho2\nVpzlxD294iwSmo+1B7y82pTkoqJT+LA8U5/ChHigko/0OaQ0Lx49RYwCNpadQUrzohpJOp5+ig5V\nRf3CLayZvghFVVjuLUVPR0nq8Nu1O6hI9qI/ssrqxPaUgqKi+vwYeiZDzbNXr60q2enUtLCK/4x9\n5FHi6Iklb/J48skn8+Mf/5jrr78e0zRZu3YtM2fOHIdbm3yGW3QMQ7dOsKeHlc2/wBX8SnKSgr5t\nW50tOYyB7KhVj7eE5zMJ0bXFMdRuq1FkHDxIK1MAKArvwmdYyaanvJxE3CqAfzBYS9KVoZqu9lQw\nkQ0KJ5WcxIoWa2psYqCSxzPJ5+X7u0loQQA+6UqzMXMfXx54jxs61gFwRk0BpRFrrVFaC7CmcoF1\nr1t3o2E16vp3N9DUGGUgMxK5/dkXmfn2nwEovfAiFrdZN1k7/yJY9iUAQlVVrHjHGkWcVvJlZ8TP\nH6px1iAmohG2rbESPnv/RiMzYpuMRIhmRmzJbu2Yk0i612Gmu7qcgj5db25wtiJxbxlSvuQqRmIv\n5m9WFab/07dzFvSPtUw2jL7nZ77jhBhNtW71htubYLvjj/35orSQ7p640+mhqArRTFyyG1nDClTQ\n2m/kHKdkAo6OwsZMoqjqKTwKvFVxFmlXPNKAwV2Qe0tPAsCjp2jd10SrVomBQtIweWd7WzagaRqL\nu95j3i3LAdj++O+p0PsJJmYNmabuP9BBX//AsOuYx7v6oBBibKqSnfgTftzJi/3Z7tu21Wlj2bFt\nuL+PEbUY9BTVJDFNg0Q4PPRCpulMZQVAUehZ95rTNnNioGHQ+tSTxNQpTptDMU0MFNYFzwfghsg6\nKlK9vFNxJigKugkbKs7m7O5P+LDsVNKalzQKb1acTVr1ohpWB9o2tcYKiGRzPAMFVU9xfVkHsdYC\n1lZejPpWFMWjoQGxZ59GKTsXND+6YRDtSVKtaRiFhcxb+QXu8gWcpTT83Upq59QNO11V+cqdaJn3\nG6w2kv13wyZxUgwnb/L4gx/8gIceeoh77rkHj8fD/Pnz+dd//dfxuLdJz53g2OyKWgDckf3ZcGWi\n7VGzq9J7UTM98aWpXsBam3jKggu5ftNHAJTUn8v/jVtrAq9Nx5yGVMCvUOBRUBTo8xSga1YjaU9L\nDBTrw96/uwHmz8NIWiN+Wkk2CHSX1ZBMW7393QM69mClmdLRM4UovIEK5rZaay97536RFzLtsGUz\nFdhtWOWmATXzZL2nl6KDESfBnbJri3O9vQ3NTrGemm17SbdYieiM2qrsdLiXX6Y5bNVxnXvdIqcS\nbUuvzurApQCEOq3XYrdH012dTsAv2LCBga1bnP+D/WFrhfuZf7fUWYfZt81ewzmUkUkqvVVVzubB\n/lANA+FGGn9k/e5XXHeDM3Js/wEb/Hy3wY3aidyH6dMmpMONsouJMdL/pXsNo3v/VH+ohu7Nm5wR\n9Wjm+KILL6L4sxdzIKGxJlyCgcLSto3M7R+mwQW09husmbYIHYWrMsctbdvIn4OX5BynYjWyTEXJ\nWW8cGOikvajaOsZIY6jZP0W1/S2sq7IaZCf37mdvyUmYmMw6GKbATPFuzXmkdJPYlmbOLYozp28/\nqqblNCpT7e20xBX+62PANFmhFlNj9Dk/P9Jre4QQwxvr3xs7ZhXEu2n4j/8Chs42SkQj2faV1wup\nFGphoTOzqTiztVnvOZflxrGDTSPPoLB5PM7aRbtD/aaWF512SbQrwYvTFmACV7VtpCLVy56CGid5\n7NKKACvxSwOGZnXqv19+Kud2fcKH5XOt5NC0ioxdHPuINyvOzomLimnSpRWRzjx3f7/C+9WXkFK9\nFChw6Rk1BH1pZu47QHn7Oj48YzFb2uDxt6LcseBqTqqttDrMN2/CTHZi6DoVffvh/f20A1VLrnI6\nvls9paypXQpYFfSr9R6CN93i/J0oqK0bccBEiLzJY3l5Of/yL//ifG8YBs3NzZSUnHi/RLXVJdbe\nhEBp43anARa6438TvOkWykoLad+TbWzFGxpyGm72GscZ932HVFe2V78LnxNo1IJCVjS9DkCyI8Cf\nolZAurZzK3pmN7NUaxTNXwFAWVeEJS37QIGDntMAa+SwN6WTVK1zdnr97Ny8jcdDVkGbG9o6eC6T\nuF45sxh2W4lrP9kpGxGjgKTXen674aPcsEJcU0MTCc3ay0jv72RFywZAYe55nyf5ghWcZy25lj3b\n9mJkqpIpXi87iqxVhRWu+fRtSXgucBkAN7dvztw5NLf1sToTvG/9YDsVmWSsf8cOrJ0m7f0pcabf\nxjwlPGc/J76disy5tr+8gcf0uQB8gxeYM38eQE7ls8LZs52vU+3tzohkvKEBNZM8gjVCaf/s4I4d\nOc+x/2/Lr77WOeZQFvYfqrEkcMOt1/y0CengUXYZEZ04g0vZjzodU9eJPrIKNbP2ZzC7YdVfWYdR\ncpE1zSp4MRWpbONpR1EtXVoRswasBCyNSkrz8kLwYsAaufdmmkKLW99yGlMA6yvOhkyMA5zE0Wek\nuLjjQ7ZOOcl5zG1v0XTrCxP2ZGKImjIwTIX1YZ23DYWbmEJ1oscpgw/WiEGPrxwycc5aF64Tffg3\nqD7fkArL+UjvuxCHLl+MGqygto7C/g7n+8GdX6n29uzBmQ50Q9edhDL2pydB0+j3lmEEP5eNY64k\nsNVXzp6CGsr1/pzOsbaqkzBjHcS8JSQ16+/+ngKrU9g9C0PDpCJlxYNyvZ/L26zlOe9UnEkKFR0w\n1WysM1Qv75efiqF68OopLol9RLlurSE/q/sTZ89b1UiztG0jTb5s22SzEURXNbyKwWVn1/HyZquz\n/dJ51+DZ+Tfej1rvQdqAfes2UmBY70/b448SMQoAE+xkG5z9LI14HMPnx9R1FHu40/U3wp20HyqJ\nlSeGvMnjY489xs9+9jPi8Thm5sNaX1/P888/f9RvbrIZCDdi/vpBAFJXZyv8pdrbiT3/HG2KQvlV\n1zgNmIry8pxj7NL5wWiE8v3buTBmJRl6YSEUW8fFDqaZ1W+NuoUj3SRUK4h1pnF29gn0trK4xwpm\nA7E0a6usqaMXt30CxVYKVuSaFOYtDxDZESGpWQVsOvqy02QTzS1gZp6jZJ9TZGZHz9KxbDBvb+ux\nyrUCkZ37KfdaAaLhgx2ZRiSc0qvTUzmddIs1Ori1eBbvFFlB+MbUVqcYR1fNySS91uuLKVOc5LE7\nOIME1uNdxdVOIjjVk2RxW6agT8m1dH+UfQ/TfkiUWklte0ojba8bJUvv6cnZ+85e3xBvaLDWbQHe\n+lNwsxvaBbV1eFz/n76aGpK7dzmB1xmFdE2NSbW3D9naA6ykzV2sZySD1z+OtE3IcOdwjy7Z6zXF\n8cW9bnqkjgr3CGT0kVUYum51nGR62Qer7mhk6YDJ2uDFOdWd3y6d6/Swb9BTXNP2ptNjnlY1ng9e\nggeDC2PWiH+XVsRfq85FVzQ8emrY1deqkaK+Zx/rKs8Be+TRSNFcNNVaE6l5s4+DM83AILt+R1dU\n9hTUUN3fa1U7zCSLdoxZ3P42Fckeqo2+zM2mQdOcCsvJSCRTBXvkhs5oyxXs91gIMdRYYtRgxTNn\n5lZIBSexAay/25nZSEUXXkSyvZ3U7l3Oceg61UYnS9s2DoljO4pq+XP1paQzceWGyDrm9ofZUVTL\n2sLzUaaZXBT7CF9mSunGirN4i7NY2mZ1jl0Y28KsgQh7CmrYUHkOadWDT09yVdtGdBRnxNC6l1RO\nhxl6ClNReCuzHjKtefEZKTQ9ha55UTOjjh+WnWo19kzQFQ2fkeKq1jdpebceMqX9NrR7UcvPdE7t\nMdJWQpvp/48oRayZarUL7VgIwBuvOzPFqo0+vtzyEqiaswd42+OP5lS0ddftGEsyKLHyxJE3eVy1\nahXPPPMMP/vZz7j77rvZtGkTe/bsGY97m3TcgdBbVeVsKAtAPI4BhKO9zpSHO/3lnOzamNZu2FT2\n6uxNlbAuaCU7px3c75zGNFLOKJ22bzdgjZopqtdZJBQrDPBikRU45vXsckYYd6rZHqu2BGTyL/p2\nbKemsghP1GosnpzuoCRmfZgr2pN4gldY52rbwlTTGlGrKFD4yGd90Cvi2Smh5YlsD1yf6WFdzeUA\nzO/dSaLEumB4dzNBr45XLwOgMN4OxdYfAaM3WyQndtAE6xC6vdlRivL+GL4CKyksie51Hm/1lfNi\n0Hpv5vkCfNxhOg3ay9vexZuZ+mv0HXTe61t9e1ncaCWcU2efRo+9b9QHHzh/gOJ7s9fQCgvJlvKA\nHc9agfeMqiqK551u9WwC5ZdcSuHs2ZRl1ozZ/LW19L/7DmD9joy0tYc9Ujm4WM9g7kqxw53rUH3a\ngjz28wMVRcRl2uqEcq/hHW2bCfv/OWdHM6+XVtXqsRq8tnFuf5iK1IvOz1p95WyoODvnmC6tCD3T\nMNIVDV3TUIwUf60423nclgYuj33IG1XnYQLl8U66CkpRTNhenttZc1rPPvaUnIQXSOspTNe5yg92\n0DXF9Ttn6uiqZsUAjxfftOmk+1Q8GMS8Jdb0eEVhRfs6KhYvouv55zBU1ZniFkx00jRKIR2ns2aY\nPdJkSx0h8htrjHLr27cvpzK0e/p9xCwELUW13gXp9MhTUdNp5qaHxrG1wYudxBGsOPZ26VwrbmXa\nURsrzwbT5OLYR2ysPJuE6uXZ4CXO7LD9Pfud9dmAU2G6dKCLjilVaKbOKZk4ljLSGJgYmXOnAYxU\nTn2vc7o/YUvZHAxNYUOltR7S7eKOD6lI9fK8nl0bCWSn+hsprul4h4PnXkq4qJi6UA2V190Ab1rr\nGGMFAV6svgjSaVZ2vEFVugd8Pkr/1+Wob/7V+b8ZqaLtcMUhYeztB4mVx6e8yWNFRQW1tbXMnTuX\nnTt3cuONN7J8+fLxuLdJZ3AgdDfs8flQFYj5ykhmgkxrv06x0/BoRnf1mEfKayEzAyNdHHA2IOxT\npvBqJiH7TCIM1mAlvabX2ZvRU1EJicyJfH7nnClvdoplzMh+vbulByM+QDpT0XW3XszbQSv5vLBn\nuxOsYvhhmDGCWGGAF6us4xfHNjm9cv1q9todZvbrgZ27OOhLoxbMB2BW516iaevnFf3tPDZtCQCX\nxD50nlOW6ncS1JDRx00tVtAPFqnO456WZoxM9dmeD97HTLvTvOydq8VTnMda+9POiGjVJx9hp9cD\nzU3OeadmKrACTJk7l8SunQDW+i9XNddp7e1Owtn15gZ61q+jVVUIXHO98/x0Vxdkpvim2tudQh3+\nUE12qlyy0+mE6Nu2la7nnwOGn9bjHm10nytfAlc2/wKncNDgUcdPG7wLausoDpYQb+vNf7A4agpq\n65w1vGP6P82MtPtDNeg33sKad3ohnc7pmR6pSI4XA/QUZ3d/woxkO58UTM89wNSp79k3JBm0ruvl\nw6JZmIqVvtoJoG4OLWKzo2QmimLNSFNVNaeoTldBGZg6KBqqnuLU3n1sD1jXW1c2D+Je0OCS2HvU\nnns6ascUFFVh6rVfpa2jnQ61mGq9m67nn6PrL2uHdOg0dyacCo8D4UY2/+QXAMz/p38Y0vueiEas\nEvdjqP4oxInqkGPUCOcAaw/YJxp8mIkEi9veoiLVO2y8ck9dH/xzDWu9YX3vfoqMBG9WnE1q0Oig\nrqr4TKuj3S7yZbe9gJzEESNNWskWzQFIKyo7y2aBYeSs5XaeAngxmdazn8aiaWwrO4Uzu3fyYfnc\nnMTW1hasZVY44tSUUPUUcw828nFJvTVCqXpp8lawuS0AbXBw8yN8/q5bubuyimRHO77KL/PyK83g\n9cAXbkFP9eB96lF63vyr1Z5xxTC7oq2h6+xtaKY4s2e3bSDcyOYH/x0MgzNu/iLBpQtz7nXwDgMD\n4c4hr0ccH/Imj4WFhbz99tvMmTOHV199ldNPP51297zzE8hIgTARjViVUAflXb2eYme7ipsuCoHS\nDYCvsgq1OcHQeoPQmzQgE8u6XAlZu6mRyiR5ek8PF2bWBfS5RuzMZNp5rkdPux5P0qVnE6relILh\nywRDVwOuyR9kc7m1z9r82FZnRLMrrTqJr1JUgmZayVHI6GF75rmV6V6c8Ts9jdnTjVloPWdL0clO\no3JA9eUE6xsi6wAImHEezSSVtw68y54CK+lWi+HxcmvU45rUJ5iZ4RP94EHmDrQwP20VvinXD2an\njBjZqRqxshoSpVYi3d6PkzweiCvZRfFdb2KvtkqEw0RV6z3NvrPZn9n6d2yHZBIT6P3gA+dx9yhm\nuqvLGe1p7kzw0OsHALjziqnOfpwVMGRaz+4t1hSc6QE/jZlptqFbb3P2qISxJXAyVfX4N5ZqvgPh\nRvq2baV8yVV4q6pIRCN0Pvs0ZColO6N0ZD837umfMW+JM10L4PHpS5zY4FA0tpfNGvE+c0YMXc8Z\nzNS8Thh1IpN7CmtmOlfFQKZRYqRB8YCrYw7doP/9zdzw2YXMqQ/R19HO/93YBcErWNH6GtXpHlSy\nHTrJjna2rXma1RWXoRY2c99N59G5eRtrMjMyil57i3Nu/fuc97bt8UdRsWYBOO+xFJESYoix7Hc8\nEG50ilkVnlaf07Fj71/Yo/sxpy3CQHGmo65oeSknQXRPXbeXuNhJZnWyi8Vt1lrsdyrOdNZs59C8\n6MDM3j1WMRv756pn6DRU+/Fh6IoGKij27AnXcxXTqkhtJ6FxI8VHZafmJo7pFHisdss2pnKw/EzO\n6N5JsR5H8Xgo/MzpfBIx0E0Vj5HKKa3faXrZuXmbVd8hMJ1ENMKK5peIaUWseeciTMPky55SqtI9\nVueXplkdZ/5eajNblW1b/SSrN3ahfvAe9910ntOhtnPzNqfCvvL4k9ScVj8k5tnHHuoyHXFsyZs8\nfve73+WPf/wj3/72t3nyySdZunQp//AP/zAe9zYpDffL39KrZyun7tuNX7caUd0fvMsA1tcff7iL\npGr14DQ1RnOeX6gaqClrFK06EeNj7zQAylK9tBRkCkscPEhmpw7C6QI2B62Eqqq/1TlP2tUYs3vO\nABSfjynNDVBhrSosTvRiFFmNrfJkrxV8gOJUdiNw96hiH36SqnXuQEeYFVhJlL2YHKClIDtltrk4\nBF0pp4HpPleBkV1LWa73OwvP9xTUOMnfa8Z09gatwLq/P0zSZz3e2KtBiXXf6a5OdigVzmLz/q5d\nznljfWnm2JVbE9l1imphodMrGVOnOIviY6bfSR73t3SyJrNX5pd3vceKzHrP8uI6/HPnOtNkvOUB\n9CbrfRg81dWm9/bm9OoZSeuopsYov89c4xtxhQJXRdfdW3bx4HMN1s8+AwWZxDLe0ODsUXk0C/GI\nY9/gKc7Rh3/jFHHC6wXDoErXWZF4aZSzWP4SOI+WYise0fYu5Xp/NnE0UuBOIhXNGRk8NJm9yGDY\n55cneoYkn+1F1bTjKrCTadypisJblWex0QRtt8GKvz6C4vNDZl14TCuCdJpq/aDToaMn01yk5Z5f\n7+nBXgfZv3kTA5+7yPnMNXcmaNVKQYNUrw6bN9H2+KMjrkGWAhJCWIabwmgX1bE7UaNeDyiqtWm9\nYWKa2S2B7M4su7NrOClFw1QUnglegql58etJVmZmMr0YvIg06pDqz4O1ecuGTSwPiaJh2sVoNK/T\nUR+Kt1GW7s/O0lC9mEYaTU9hqCqmomWuZZe+h70lJ1md83YSesBKTEFHVWBb6Wwu79gMhsk7FWfy\nzjaTFev/neqE1clWpWkYaopU3JqyZhgGoVtvwx+qobkzwYMvNwPNfPvm8wiGaiDT3sM0SEYiDCQ6\nafrpA/RS5MRSN3eM271lF8mOdnscI6fo0Ujbqgw+h5j88iaPzz//PPfffz8Av/jFL476DU129qhQ\n/ZnZ6VnF807H3LwJBYVQ8RSW7rAWVzOlCDJFXFKxGGSKy6R7+0hFeyFTCqbv4ABGJqnZr5Q55+12\nVStsU7Ijh+8XZj987b7sB82jDB8O+1KAaySyTyt0AmOTrypnjr2WWTdYZCScxxoKpjoNutfLzuSK\nbqsoRtSbTcw61ULn6w61iL4pM7Kvw5N9HacONFMUs85dkcquD63vza777HWdC1d1VvRsBdnWniRd\nZDf+dV+jz8z+WlcMdOHTrYazmUo7Sf5FRnY6qDJlCliDwqg+H4ZuBXxzIPse6PG4NSXV9b2diM6u\nqWHgY2sE1FdV5Sze10pKspUtW3axqMlKPIuKZ2FXjQWGTn3L9CJ6ywPOViGFs2db00zIbhtij3TI\nYvQT12j/94au51YnBEhluzncPfb2iKP92IqWl3i97MycKVobK8/mqtY38RgpK2YMHn2Ew0gcIWfU\ncJjn565zHOU0mlXrNW3qmJjOwaZpsKTzPUwjzfOVVqPz5rZXmQroaYN42mRD2TxWnFXMrAvOIhmJ\nEP5oB4t1qwhFtZaNA+HWXh56/QDpqVeimMDGLla0r6NG160iRINIqXtxojiUv0OGqyjLEKlMW0XT\nMDNLNQpOP5OBrVucEUS703nwqOOWopOzI3iZv6vuAlsGytCk0ObquBqu8vNhUVwrzTPnbimeRsug\nw9KYqApW4ujczzDn0xTsef32evC0qWOqKmecMZP+997lLXuKrWE4nYZ7zrqS1sYD2XdCVZ1ELrp/\nG/Gk9T6HdzZSe+k8Qrfexpcao3Sve50Dq/qoWvkFAEJ6DyvarN0ATr/5ixTPnMnObS1OjFt+XiWr\n37B+D751/UpOnj1oecMIJE4ee/Imj6+99hp33nknqqrmO/S4t3vLLh581koM7saaVgiQ7EygZ0aV\nYt4SZ43dNdoeJ3Ep9eZOUa3paoQpVvLoXp8Y8WUTMn8622jx6dlGnzsYekwDOy0sSR+0l1FSlu53\nAtSp6Va6i7Mjgy2+CufrftXvJIyAU+yioWCq81ifJ5ukJVSvk/BN7z+QfZ4rSA4YKhWuaq1JJftr\n9tGUk3MapPbon1uJHndeh3uk0n3fnygVhDz519xVJ7uc9ZN4PKRC1lYdpd1teAMzAQgku7Ovo78f\nM/NyY0oBL0yz9q27vTxCNh2G5q6Ek4iu/GQLhsfam3P2oC1sNma2L6muCTi9pTd37WBFi7V/57T5\ni9iRGVKegbVZr92QDyYW0Zl5X/2hGkK33uac1662Wrny5pziAjZJJI9/IxUiKMhMPWp7ZBVdf1lL\n6CtfJdXeTiIczhaYsBOdTMXV4dYO7Sualv3G1DFNq8DEKSOtbczLNcJ4pLmmhemKBgokgbdK5vJJ\n4GQ8aYMzu3c6DcfIOQu59MxTWNrSz7PvR1EwmVFndej89MUwA8FL8RhpvjmjizrXqKNNUVWncaeq\nGsFbb6PmtHopIiVOSGMtiuKOTe6iLDPu+w6JaIRu1x7NBafNY+CT7WCa2X2bMwbHK3tvxuTg+GLq\nXBL7kOpkFzuKapnWfyB3zaLbIXR8+RK9JP1HMMFRvaOOhNpO69rLVLOX1yvOdWaqGoqGAbzycSdF\n/loMzYemKZRe/jna3ljHbjXAur6pUDEVr5HC6/PStXgFf+v3cT4QKvU5dSxCpT7Crb389JUW0ikd\nrXw+KiaVvbpT/NFuB+VrY/gqq5xjPk2RPjE5jWmfx6VLl/KZz3yGgoJsEvGjH/3oqN7YZNS/u8H5\nuueD9zE/sEaCmq9c7qxH3N9tksgkRGYqzVUd1ijkrpq5znO3dYG/qMZpfHRp2VHFOPmnRpSnDtLl\ntUbnvEbaSR7D/myCeMCVaHXpXqKuqaOtvuzoZthf5SSM7pHEHm929M+9WLws3U+LZjUqE66RB5+R\nxk7zypK9FCf7nJ+5p9P2atnzuqezDqjZJLLTU+x8vWtKtgHb7nUFa8Ow1gVkuBPUftU/7KL5twvm\nOqOsTWopiv0f0NvjHE+sA3Oa9Xq7dI/zfxntOsgp58+jYb21d6K1b5x1XHu/yQuZhPr2zggDmXPt\n3NnG05niRwvJVij2lAfY2Wa9W75te51pskWvvUVtKPsaE+GwM1W1b9tWuv6yFrCmIrZqpSiKgrup\n6p4eMuOe+9jbYO0JddoVFx3RKSHh1l76UgbFXulQmijuNULD/aylV6fTU0ow2U2qvd3ZPHvvB9Yq\n5bo5dUMaZO7PTMxbggZObEHRSGmZyqbGcJO0x+IoJY6QnRY2qAG4vfwUMCGp5XY+Dez4mN1b6ln7\nt1hmpEIh2pMkRIR0phWXVj1sK62nym9tdVRTUZRTEAIgGYkwPTBvxDXIh1rqXohjibugW77jmjut\nzvCyzGwIe/TR1tKr07ErbE1G1zRrNo8xNKVqdXWwQzZe2R3RqqljolgFuhSNDZXn0KcVOktcjoQj\nmjx7DooAACAASURBVDjaTAMN01rrPUIiO6D66En7MkcNE+ucG0yy783NvFBzJal0duDi89NBK/Ly\n1Icx+DBG9OwIZ51bz73XWntnTw/4+fPaNxlIegEFU9XwmDqd3tIhxXNsg2NcKFNjwj07L1/SKHHy\n2DNi8rh//35OOukkbrzxRmd/R5uiHMVGwCQ2rdB0RoWmzr4AOz2aURfCsy2MosCcU6fy7ofWTzyB\nSp5TrQ/QNHqc85jJJDHFXWDH/f5mA8Lewuyawog/GzC7vNnkKu5KPNOK1/V1tmHfZ3oI+yuHPS5n\nxNCVwPn1FHF7rbhpOr1i+wqy0zlaXCXsk67F3qFEbMREtMeT/dp9rr2F2WmcB12jkQV6kr5M6ZrS\ndJz2TNA+Nd7MSLo9RdliOC0v8laJlbi7p+L2q36nCFDMW8LazGjxxbGPcqa1eDKjsmVdB/jbH/7M\n6sx5l2b2dQLoSitOkvnxnjbeyYxIfja5xylgFPDAirD1u9NQ/FmnOlt/z27nmERLMy2lpzkjml/1\n9VKUmbbqrcp2DLT7AqyZdiWKonBv3WnDbui7c/M2/mub9Xv1pf4N/HGnlQbYi98Pld1IaPMH+PGa\nD1AUlX9afpYE+gkweE2j3XtvJ5Tb1jzN6sClULmAFS0vYf7x98Se+ROtSnG2EM7Ol9wrBocUmrC2\nuRjhBoabrjoZ5Bk5cNZuAju0IP1rN2GkK0DzkcbkkTfCXNK1hbMVP5sDVkPzjU+62bBnM8mUSaFf\n49srz83sC2k1iMJAcyTCdBohOM85v3sKn338aHtJCnGsGTzaOHh0yZ1Ybn7w351CKytaXqLaSIGi\nWOuxNY1Wo4A1Uz8PUz9v/TzdM2LiuCZTNMcEp2hOky/799EYFAfSqofNZacO+xrU1EEM75Rhfzbu\nFBXdSI9YhAesSq97YdCUVpPCgR7iBdlBgZQJTUopCVMFTWVaXwsXJPZxWlMz2z1ByHRqP/tehOc/\nbGPZSTonbXyGRl3nYMEsCJ4PiompejBUD6vfbUd7r4M7r5jK9IDf+T/e29JNdPvunMfcSSMMLd5m\nfz2YtCWOvB/+8IdceeWVXHDBkS+eOOJv6V133cWf/vQnXnrpJf7zP//ziF/Ytn79en74wx9iGAbL\nli3j61//es7Pn332WX7zm99gmiZFRUX8n//zf5g7d+4IZzu63A34wtmz6f+MlQDEfCVWSWfTqrCq\nKb3O8alMzujr74ciq2CNLxZhoKoO+sgjm9gZOSOSI434ZFt7fa41gPum1JDIeX72OL+Rxt6l0D2S\nGHclcGnF53rcHWizvz5JNTsq/U7JHIr0bKLmvvek6j6Xe8pqNuCn1ezXwVQPfYVWkuouAuT+YwHQ\n5ao62+kpcnoh3QU/yg92OMd0e7L71H1SMN053p309mmFzgbDakkx7X1pJ0ls8lXlbAhs7zFZnsyO\nPJSbCdTM49XlHkozI6D7errAa/0ulBYoTlI5+7pFtMTJ2dJFcU1btddPdgNGZj1mMhKhwBWsZ7j2\nFQWr0Zru7cOIm87xHGKQtgsaAChfu/uQnis+vdH+4LoTx6afPoCRTDpTqHOkUuAbbcFgLsPuuT9O\ntRRPo8WEk/v3U5nu5aOyU0lpXtZVnIfPSDE/tpX3y09F0XL/RCYjEZoefsgqmPN3K1mzqQ0jHmdl\n7K8EvnePswbZndy7ZwPItC1xLDmUdYyDq6falcJLL7kMEoncg9Pp3O9dW44BwyaObqaiZKZtmuwp\nqMk/qjjCOsdJkzjaRkkcR6bkJI5WVu3lvfJswtxSPI1oRQFzd4eZ2x9mfmwrHwROI616SZvwuz0G\nl3pP4rPJXcwaiLBBT2F6vPj8mlODwdQNtj/+e6J6P+fedYfVkfw/76P3H2Rl7K+ce9cdw1bWlVh4\nfBrxN1VRFJYvX84nn3zCzTffPORnjz766Ke+uK7rfP/732fVqlWEQiGWLVvGwoULqa+vd46pra1l\n9erVlJSUsH79ev75n/+Z3//+95/62oej3RdgzXRr5EkdKGL161a1zStnepwP2EAkgpr5em9HgnSm\nwmqb4iroomt09Sdxhpxy1jAmSY9h6mp+2XN2qYWkRxhGcI9QtvgrXD85nCBmSakeekZoeKroziim\ne72mm+G6tnsKq3v0dUfh9JxRU3eCm3IF4IPqoD9KGe5prm3esmGPKdbjzteqz0dFqtMZiXT/zLpn\nS0WqN7tNSHEIY4r1f9me9mI36S8ymjHarETysjofA5mk0ltVRZEvgPKxNT1aKy11pq12vbmBnles\n85ZeuYgVzdb02ar/n703j46jPNO+f1XVq1pLq7W1ZUteJNvygmzjBYxtDEnAYCBh8pIEBwJhknlD\nEvIlAwOT8A7n5D1fmCwk+U4mQyZhmCwEYmZCEsJmDAk4YOMFYxtj4122JUvu1tJqSd3qtaq+P57q\n6mqpZckrtunrHHB3dVV1qbvrfp7rue/7upIVOSJOmYA8o66eexD9bZMbx+Pe+nMAxpfPOuGEIN9r\niWDAVMKrSfZy6/wKPB5nYaXwHGCkXiJrxjEDTVUhmaRa7R0mgJN5nG975nlGxj6seNCQUHX9rFaa\nfiAYUtp6uHQiR9QU8/v28U75DHRJMUW5NNmOpsNHppRQMa6S2VMqqEr0sk0p5SnfMvRNQXNxB00l\n1t4B03J7HjsGVHqVUqrVfgoo4ELCSLHHOkaM1MuWCAbAGDP6171GtcVPtlodrlVwotgEIuMYMtpW\nLgvt5C3fHHQkJg205iz4fqhhiW02LY2m5yYoN6W8jJ+8kO7jPezwTkeVFGxaCl2SScs2UQ2lKExJ\nBPlyXR+V16/MOX3b/lae+tulANT0JnD4LS9qw23nIKtMXYh/J4fOzk7uu+8+JEmivLycxsZG+vr6\n2Lt3LwAPPvggM2fO5MYbb2T69Om0tLRw7bXX8uUvf5lNmzbxgx/8AK/XSzwe55prriEUCvHggw8y\nODiIx+Phe9/7Hnv37uWHP/whdrud+++/n3nz5o1yVbkYkSE88cQT7NmzhwcffJCvfe1rOaWrZ6ps\ndefOndTX1zNhgmjBveGGG/jrX/+aQx6tf9CcOXMIBPL3+ZwLOPx+cAjCGDzeQ8xwkLXv2c5VYREo\n5wz04ogKIhOrzF57wp4lMf2OEooiIfAIQunQUiQN5dDidJywI0M003AGiGT6BBmEiIWcDa2hP/X3\nU3Br+WhhbhbSSvhykf195fReWq6vVI3R4czNPuY7r1XspzF+nK1OQeGsWcy4JeNqJZJBu9fMAqZ7\nQgDohnCUdcDa7x5vZjFbXH4u7xc3OIMyjjKDbB56L9tT1tXFFF0MoPGWlLnd/uqrcMOnzcUHq9qq\nzZt/gDza1sMvdoseEquIk6uunhlXZ+XML/3G3ebjkYQNhk4WMnDW+MEtvoeOAZWn3hKTh3sVfViJ\nSgFnFyN9R666emruvIuu3/wKgOpUZPjqPsPVCTPbOh1eXqq6Iq+A1UUFkzhmxXt0xc5Wb5Nl4pXK\n6cd+Y18/9iNRKr0uqjxQvHQZcosTyWbj1vkVFHe14nqtn5b/eAz9rv8Hh9/PhPseYNvRAZ56uxt5\n/LV842PjCyvtBVzwGKswjrPGj+x2o2u6aVdhxp4R5o+ZONTp8A6LU0/WrjBjk01NoUkSmmwbItx1\nFgW5LgRkYpuaYmlox7A+T12X+VOiDrXK8OPV0sxLthKJa+JzlGC99xI2MptbK0qYYZbbi/ElGXAg\nu5wgyTj8fuqqS/iXmxvY/5OfooHpFQmiBDWjTK0b8a+seaqYS1AQzhkNjz32GLfffjsrVqzg3//9\n33nttddobm7mySefJBgMct999/Hkk0/S3t7O6tWrcTqdJnn8/ve/z2OPPUZVVRV33HEHuq7z2GOP\n8fGPf5yVK1eyZs0aHn/8cZYtW4bL5eK3v/3tKV3jiOSxuLiYhQsX8vTTT1NRkV9B7ktf+hK/+MUv\nTumNAYLBIOPGZVU9a2pq2Llz54j7P/PMMyxfPtxj5lwhGQigGtLHqiVz2JtW2OxrBsDb/y7PVwnS\n+HcDbaAJIugiTWa9TbJLtJPN8llLPsN2a8nZqWf/ciFzYo37Mw1lSEnqqePE5bqjDxRWIrmjeLJZ\nvmLNYlr7Na3iPn02j1maGkrLHHPXCyVHcq1BrMq2XjWabejXNDMjHdIdvFR7FQArQ5tZ6xM16CtC\nW1hbLR5/NvoOs4eorYaM89orK+k0yp6jCcXsT7vh4DFAyGFbRZyGDuz5+lBOhKHiO/UPfAswymGN\nvynZ001bpxgMClnIs4Ohq/sn+v7KFiwyB2fIzVYPRafDa/bvLg69S0Rxo1vvp3yG2BcVhsQOSwxw\nJSI5k9K0rpNOqDz+3Ps0hg/iScVYJKWpv/Iyqp/5DwK6mwGllF57GWtebQepnRuvmMTzm4LE0+B2\nKmLh0YKCvU4B5ztOlFkc07HGmAFC8C30jFExZlhNDMVeTx1rqq5AB5r79jMh2U1TtG3YfmkYobzz\nQ0wcrVDsrKucj6wPyQbqKjlbZBtvuxrAJSza5g0cYHflLGIq/ObdCFs2vMyS+CGq9ajwC37qD6xQ\niplxx62AEM6bVuVmi72UF8rmI7/ShiS1I0tCWyEDSRFksxDzxo4jR47whS98AYDm5mYef/xx4vG4\nWQXa1yccAmpqaigxFP7dxgL/4OAgVVVirjhnzhwAWlpa2LFjB6tXr0ZVVSZOFIrDkydPPuVrHJWd\njEQcQZC/08HJZDA3bdrEH/7wB1avXj3qvlVVZ2ci2xaPmEHP4yuHwCAA5TNmwiFRXtjim4yqi0nX\nZtVnBrlIOvtRJ1KgO5RzyOc+iN6ls/ueVvJ3YmQ/ZGsG1ioIZBXisVkCbr9FGXafs5a4lFsCK2VM\nf1Nh9hjbwoqH56qXAvDxzvWmImtYyfZhhnFZ+hqz94Dd7cI/o4GgJpph7clBOg0bD7XlGKurPwLA\nJ+OWUkRiJtmc0ryU920ic3qJz0NxvvugahblD/9fAIonTQIgcuSIeOnS7GsAPcb9We7zmPuW+zzc\n9vwjAFRMvoeHnxaWIw9/+Qom1+Yv/70YcLZiypjezyLEku/7g9zv0MTRg/TLMmhaTpYRhEhUpn83\nI94kqylmhA8Qlx0cLrEa03y4kOmxNqGnsSt2UhrsKclWxTh2xVnqmMzG0hmoSGg2J+mUKGB/bn0L\nJBI4kPjfVzVy6aysWE/kyBHe+v9+BsBH/9/76XKU094VYXxV8UnfQx/o7/IifL9zifPtb8t7PdbY\nYzwfafywxqPMvpEjR4i1d5BIDpqbO+1loOvDsosvVC0xF2u3+mazFbiq6228apTmvv3s8DYBOros\n55KgD3vGMR8kGc1iJyS2Kab35VDY0JmbasfZsJgN+/tBtrOntIF9JRO5uXcLUneEpwzBI+VIDy/+\n9TiKIvOVW5p52b+EZFLDoYGUEhV4zsE+Zi2cwb9+RSyyVyV72f3dRwhIHupu/QyX3nAl698VoodL\n54zNC3KsON/uq1NBQ0MDO3fuZNy4cezcuZNJkyaxbNky7rvvPkKhEH/4wx+A/BzK4/EQDAaprq7m\n/fffZ9myZUyaNImlS5dy5ZVXsnPnTjo6OkY8fqw4U6mtU0JNTQ3Hj2e9AgOBADU1NcP227t3Lw89\n9BCPP/44ZWWjD65dXaP7/50Kkq5i07ZCdbiAKAC+Oj8rNv83SBKDE2ew02iH05Ips+o0ZlE4jeKk\nWE/SazG5v/hwdpmxNuYSW+vNkf255/ZLZs9lLWG1ZiTjsgOXRQQoKdlMQ9/97mzw2+GZgmYct6V4\nWn5RHTVqZnl82qBJ/sbPm8Hh59ea5Yb7DgTNDOMnVRl0MTEt0+Ks6tgMwLh5M4giBubuSXP43UFR\nyjsh6qBupPvA8KKLdQ2csAyp9t77xX6eCgJr/iree8EiLv3Hr1Du87A/6kA3rqm3N3pC644zuer4\nQQwOZyum5ENVVcmJ38/y/UF+9dVEMEDw1yJzbFVSXdXxSt6eIhB9u6fm33iRQ7bTWAZ7esnJmiR1\niTfKZoEkoeu6OaF12GRkXeOynneZEg8wSf1szve5Z8t+nvJdCUDq9T38zwGVWELF7ZD55kmoIY/6\nOznDuJjf72KPKaPhpD7rE4wfGbjq6ul++SVCz/4xp3y+0+EVqqrkxqKQvcQcKyVdM8W6/lZ5qTnO\nghhD9WHz3QJxHAYp87/R5mFpZku9fGxWGZGqz7F5Y25CSJNsvOBdSGrAhirJaMBz+2Mk0jpuh0xn\nKIquajjVBNd3b6VSjYCsUKrMoqtrwJwT9AaidFDEat+V8GqA60NvCrsQoP/mQRY2+Yde2CnhXMeo\nE+F0Yso//MM/cP/997N69WrsdjvXXnstXV1dfO5znyMSiXD33XcPOyZDBB966CG++tWvUlJSgiRJ\nSJLE3XffzYMPPshjjz1GOp3m4Ycfpqen58Ilj7Nnz+bo0aMcO3aM6upqXnrpJX784x/n7NPR0cHX\nvvY1HnnkETPV+kFhT0fU9AkMHDyCLS3IX3jjW6ytvByAxf2tWSXN1CDtBndwk1U1LXaodCbdZ6Kd\n8TzGmemfHAk2PX2CnsnRMVKpsLVHskhNmt6VExOdOX2O8THYFVj9NPe7xyMbgTxs85h2IH019Uw9\n9DYAxfPm0bd+PXs9dQBURgbMj9GX7GNVhxDAKU+XoBqDrhqNUvP3XwSg3+9HUrKLMWMlbHrK0v9p\nOSZzXN/WLQR/LjIl3I1ZGjlWb6ax9skUcBpQVbRUis5f/RLJbsMxacoJd/elBkSvtWwXJaqQW6aq\nq2Kx4ny15TgXyMy9dJ09Ics2ADWFIstiPJCsL8DyueN4451jbPTNwdsVNbdnvFZ77aVoUhgZo6+Z\nbnOfXS09BELRMzaZKqCAsw5VRVPVHC/i4suvGLFkPh+s8ciq8mwljpKaYkK0g8OlH+w88IKAbv5v\nZEiAbmOXXkX1xh28Ve0krYKkJqmIh+l2eUG2k5TtvHQojWJ3IEsgSxJuu8TS5nH89yv7UJNJVna+\nRZPWTc2dd9HtKKfLWQ4Wb2lXXT0VH78Z3sq/cFlALnbv3s3/+T//h8bGRh599FFqa2v5yle+Mmy/\nNWvWmI9feknce/PmzeOZZ54Ztu/Pf/7znOcNDQ2nZeHxgZJHm83GQw89xBe+8AXTqqOhoYGnn34a\ngFtvvZVHH32U/v5+vv3tb5vH5PtgzgVK0llvjaJoGKThA/xRR4V5z7ZZyEbMwhTjFzdrvKBhVYC1\nlrBGFDceJRuMB23ZEtZue5Y4WY+R9Vy58Qx5xJYlvWr/gFlS6Ovu5kDNTJ416mlvsbWw6rChQFcz\nQ/g7DYEai/Heb38PwIJ/+ppJ5qoSvaZUev0D3zKsO8gR0QHR25hRdLUO/iORvFR3N11PPkGHJFF7\n7/3UFYjgOcVICwKaqkI6jZ5Oo6s24nt2m6/lUzKsToZZ2bnB9DdVkXJLwQyD7QJy0ayE2Z30CKqo\na8ZnZBBHIyPp6g1COklCcfBc1RIq4x7sewP8es0+cz/N7uSGZh9XLJ1F3bQBAqEo3eE4v1/XIva5\nmQKBLOADx1gWIDMqz6HnnkVWFDRVpf/1v+bddyRV1Uw8spauWuEd7CFcVFEgjqNB10TstsKagLQ+\n1tJgqM4PyE4UWcYuaehIhF3lWX9vCVRdR1XBbZO4PrgBgD9vXYwKONGR7Q7UG+6gv34GP1m9HVXr\nQFVVFDlbTTHj6sXcWyGU4UOOEtgRooD8qKmp4Zvf/CZOp5OKigq++MUvftCXNAwfKHkEWL58+TAR\nnFtvvdV8/PDDD/Pwww+f68vKiwn1Ndh2HAIgWTeJdJuYbmmXLORLseN43E5eP5jkkJE1T+Zk37KP\nE7qOQ4uTLJDIU8bpZB3Him5HlhR2OHxMi7WbPt+apafT6l1pVXGtTEfpMHopa9Nhrut4x3ztzTJD\nBS0RN4VLvhwDNRoBhvRcAT2V9ayuFRnJO92H8SKEBI4nFZ6o+igApVt3M22B6FGxSqXveW0jj7eJ\n67iHjUxuFGW2Y80Ali1YBEaVhLPGT/jF500FvbHgdIQXCsjC9HJUVWruvEt8LxlkelkkCVRVEBlF\nwT5pCqlDB/KWqjZF2/Cl1gJCJXidb64l+/ghLwXLV/Glq+xMlYCsIGspg2CLl2Sydj3uQCvNA2He\nLpuBZnPwy/VBZDlIWgOXQ0HTNFIarNnTx5xLB6irLhEWIN1RCijgfEG+cvjR4nfxkmX0/+11EYNk\nGfvkBlKHDuTsM1LZfFO0jbCyg3UVc4dVPISLRtbeKMCCsRJHMBa7hL3Hdu9Mrm4eRyJwnDfaBC2Q\nJQmnTUJNZxfUF46TaWo/zibXFHOxsXmKj7XHlyHtTPG5cSKGqZpGMg2gEQhFqTKUWzPq7KG9H5xr\nwoWApqamDyxJNlaMSh43bNjAkiVLcra98sorXHvttdx8881n7cLOV2SyR1osTqbuNB4IsOM9IRwy\nrrIEaDL2tk7AsndtaSpBl+yhgPMPuaQ0+/05tVTOfjZdtXhUZr9bq8gOlsxjcSpKiyubSciotu5z\njzeFSwI9vfgrPNgCxnvZMHvVVu5tAYQyVjqSrek/4vKT1sTvcH9fCtd3vwNAzd9/ke4S0T9suSLi\nra0c+/NTgMguWolh2YJFFM8SpHboJCFDVOJtrWKlWTs5clEgjWcGmqpCLEbnr36Zs710yTJRJmZV\nMVTVYRO3ocjI42/IIY4F5IUlE6tlylWN8rCmgUPsK50CmkZLaw/byqab4UNDCC/bbRJ3rRTG3b9e\nsw/FWIDJTNKrVZU7V9xGUWOjmXUsKBQW8EFDU1VRDi9LTHjgW2JhErGQGNm9SxBFgGQyt1RV00aN\nP1Z0Orysz0McCzgdWBjj0MUwy+ecRufVre041KTYT7EjS3CZX2Lw3V1s805Hk+1sCWgs+/uvM7A7\nBEcFUVSKipAUoQfh93m4f9U8AqGoWWnhSw5w7Oc/AVWlylj0XNjkB4M+XOJJEm9rLcS4CwwjkscX\nX3yRZDLJv/3bv/H1r38dXdeRJIlUKsUvfvELrr32Wj7/+c+fw0v94BE9dND0KKo+vg+bLCYCnfsP\ns7VSKBbWRgNg8EKHnjZ75opIMYggCePcEl2xD/nK/nkLlcyigFtNELOLHsiK9ABT4gHeMEjk1MEO\n9jjEKpqMZmYdIjZ3ztlsRj+Z1XOpNtphvh63CClpsTiehjnYd4sBV3a5URPid+KNhlgxIAbtCZPL\niR+3gQQ19X44Io4vHugGw0rmaFsPqyeIjOZX6t2s2vzfANQtuJaQmqtVZ81gjRbAE8GA+R6JYKAQ\n8M8hXHX1+G64idBzz6In4gQffyyvl+NQZdUMMr20Q+XvQ/YS0vIHoch8HiMj4HiitiHjtRnhA+wv\nnYyqSyApWW81NYVid6AawWFZQwkLm/y0dQ7w+eun4/d5qKsu4dDOAJ2SB01NoLz6Zy6Z8zXaOgdI\nBgLov/wJUOgVLuDcw1VXT9XtdxA7eJD+v7yCDnT+4Rniuww7NbsdUmJ8GynmZDBS7Mkc2+LyE1Hc\npqZEAWcAJzPFNBbBNDAXEdM6vHFMAyOeyWoKbA72dER5ty1bJTFvehXzpgudD6v2QSbGRXbvIoSH\nqliQ9576A+Mc5TQ0T2Vhk7+gh3ABY0TyGIlE2L59O4ODg2zevNncrigK99577zm5uPMNXXFJCEwA\nkmzjjraXAWgpnWTuk7SUM7pSCSJGIktWs8qroSH2OwWcT8jOFq1elR0OHxO0fpFxADxaVnnVavvh\n0FIkDRXdabF2FkX2A7DPZZWjzv5GJup9HFNFlqF2QgXjy53c1vM3ANx1lyIJOx/CHh8vuYQISq0z\ngJD4kZhTrhHdtA6AuYtn0G95Fy2euUY31YYiq72ykm6bOHq0MJ0v65Exf5ZkKcdTcCjaLM3yBZwZ\nxNtazZ5UHI4RiGM5q2uHqxnu9dTxrP8qAG4OrDMncZ0OL89WLSn0N+bDGAWja7R+9mZU6zITNh1q\nYz102saZ2eAN73fh6nuZ13tcKDaZ+1fNM42007XXkk6kkNFR323lD4eOoKfTfEby4NfFRO3QTrGo\nlCn9KqCAs4l4WytdTz4hqh0cDtC0LHG0YDQ155Fij/la1ZJC1cN5gJkDh+jxjieoZr4LYwXNWETz\nJ3rotI/juXcCJsm/psGF3+fhkdXbAZF5BHhk9XZUTef6GWWseScMlctZIb/N2opFyK+28YDfT111\nCYcPttMreajWCyX7FxpGJI+f+cxn+MxnPsPGjRtZvHjxSLt9qFAWPo7DmOiXqwNUGkHSVqaxzsgw\nTXbETO28uCUgRpRsmWpX8uz36xVwqrDlfTwoO9lZmlWw3Gux51As5alWhdaI4mazrxmAWX2W8h3L\n/kF5OLmqNPoD+gcHkY0my96UQtIufjfB8CClFuIwf7bw5PPf+lncjY2AIHm3rRfqWlWJpYQsGcmn\nKq8CoKY3QUNd/k9hpBXBjPlzuc9DzJO/D6Wtc8AcTO5fNa9AIM8wZIeDqtvvINXdbRpvu2Y3E39/\nF2NhPGHFw15PHb7UgCilLkzcToxRMpDbKi5BRkHVc/fr8Phzyog1XeLVY5BSVNyaRjIQwOEX44ku\nyaZQyICtGF0No8UTyIh+s/beBI88L/rt76dAIAs4d5AVhao77xoWbxx+/6iKqp0OL2HL3OeYoxJf\nasAsl3+xQBxPAWP0tczsZrEXynsO45+9pY1oqp67CzozBw7hamxkW+c447Dse5ds/guRquFVK6qm\nE0uovPBeCJBQJPAsvAxadLR4gmQgwKFAgJ+81QcVV/H1Jd5C1vECw4jk8V/+5V/4zne+w89+9jN+\n9rOf5bwmSRJPPPHEWb+48w0V4Q5u7xC9jZVOzSzFoD8JpSIA9miWssWcUrBsOaRdT5GQCgHz9KGN\nvksO0mT9UVROxiulSE+hp1IYlcc55alW5dUiLYF13TVmZBmL1Rj50IfTtO04drCFiXUVdFIEbkcA\nXQAAIABJREFUwLhgC6s6xe/NVlfPBlUQwJqKIvP4ge3bzb6S7ro6Kq9bab526TdEM2OmR2UsyGQb\nweivywNXXT3FVSWmz+DJotDHdWrIJzxkr6wksn070XfeBk3Lq2aYKSmzqSnSwPqKeaRlG4qaYl7f\nvnP/h5x3GGUypgOSsU8eEtmvn2gxUKzcz3FHmHx0O2t9C5HUJCu6tqD/Z4DSO+/i61ePI9if5CnD\nY21GrYcZtR6Cv/kV1XoUZ42fY++2mlUvx1qDBfJYwFnH0HgTb2slHQ6jDgwQ3bzRzEIOjTmZeAOi\nZ19FEqXdZVPY6pvNjrLp3Ni1gWOOSobXThQwKlJpUTI8JuRmD7OQch5fPqOKzXs6s5vUlEnqq1N9\nlJTY2NYpvq1L/XZ2d4iqJm+sF+X3v+LrdwtP6KpEL666em5bWMmTm4LY7DZuXVxDTamD8eVO3FvF\ngvb48llstsS0zqjKjJP7FAo4DTQ1NXHTTTfxyCOPAJBOp1m6dClz584dZukxEkYkjxnF03vuuWfY\na6djLHkhQ3G7zQnZvopLeLZoLgBTktnJ+YCFkLgllYy5R3E6RsTon6tKR4jYswSggFPFyfZpWX/u\n1jK9LKn0pvoJ20VGza0OErMLr8baRDfYbBa7jPypCKuwzhFntRmAdxWNLjEeiqm07D7Mk4b66h3q\nu4AgaLVuuP7wWwBUF5cTH+Ece14XXpAzrl6cS84cYoI7sa6C29Y/C4gAbkW8rdW096i5866T/nQz\nOJH/Y6HH4fSQ+bysJD+6eWPOPtaysUxJmYZk9rNkJmyqYmerd/pZvuILAWMYz1QV5BPoy+kq1foA\nnbIxcVZTYBP3/vjocW4IbCT1idvwBPrwJfvwHDmMBgR/+TiyolAJrLKVElaKCf4mxqXfuJvx38ga\nQVd7FBxGbJlQX7hnCji3MMeGWP5FUOtCVaaE9bLQTlKIjPqB0kmmSFxasfNs9dLs/aSrhbL5k8FY\niaOuUhntodtTfcLdFGDb/i50VHLmRUZY9OlxfJte5iNLP4nXbWNZZZL33l0DqZT5vZd1HCD88kts\nU0opv/Emqv/8FLcrpdTceRcNzVPN8armzrsAY2GiN4Hz3YNAIaada7jdbg4ePEgikcDpdLJhwwb8\n/pOzhhpxNBwcHOTtt99GkiQkSTIFczL/fhhR1NRE635xE/QXZY3lrVlEpyO7Ol2iJ+kytsct/XNd\n9uKzfq0FnAyyt4HVp9GKHlsJFfqg+bw20UuHXWQf/YkwHaMtBlhumdpkiA5qxRMLB+10eKnsT5E0\nfiuHlQrerJ0DwE2xFtOTz3dsA5nhQHG7cX9MDNZdznL+fYMoeb2HjTmejrJBHp01fmatEjJnQ4mb\n1d4j1d2dtX84BRRKVc8erJYdroYTZ6BC9hI0JHRAlkSuXtbSaJmJW0GgYmwYKoE/7HWFTqnMfJr5\nrNF12ov8bEpMZvO2GPE4TI/2cbm7gupYDyST6E6XOABYU74AMErKjUnXsR/9gF6lFNn/MZAwS10L\nKOBswowzySSuaU15e6yHwhpvNvrmICF0ACRdR1VT6JkSVetCTIE4nnlIAEp+4mjNQuo6U+R+DqRL\nAYUZ4QMcKJkkFKKNScsOdx1HXX4cB/u5vmsju5L9VEfFzFZ2OkBWsFdW0qmU8pRvGfK2GKuUUqrV\nfsaXO83fUadSyurx1yIpMvf7/TQ0T+WfjMsoVFKce1x55ZWsW7eOFStW8OKLL3LDDTfwzjvvjH6g\ngRHJ409/+tMTHvjb3/527Fd5kaAjJplZoWUcM7fPcA7SnhJk0qElzWrITilb2pi2Tj40HWRrCWUB\nJ480Z8OmtNtSchNTsoSwy15Kr54l/Z2OMkZDVaqPboPmzY4eZb1L+Dc2R48wISk6Y9srJpPRXvVN\n8DNxvBPnBrGapxSXkIwJ0ndM8pqkstddTnVY/P7UWIzIJpGRTC0f7g8JueVHAMHf/ApgmG9XRgwH\noHjWbOyVlebxpyuAYy1VLXg+njziba0kggFTpEhLJiGZzCtgkcFeTx0vVS9B12FO3z7eK5uGrCa5\nIvTuEE/HAkaFpoKSh0DmmHJnV4gkSUZCRTdW8sNN84h1CouP90sa2FM6hbtaX6A6Gab8po9TPGs2\nSm8C+S/t5jms2WUARZGR8l1DAQWcJiJHjtC355A5JmTizdA4o0yoQz2Wq5iaKVMN2UtYU3UFKhJz\n+/axu2wqMjqzwgfosZVwuGTCOf+7PpTIl9sxCGNxrJeI2zJPkCQO6NlEyPTkcRZ3HWJTyTTeL24A\noMUjxumYCi+UzUfRNVYlhTDShFW3wsRGXHX11DjKzfhVfuNNTGgcb/6WRkKBNI4Nvdt30Pq7pymZ\nPp0pX7zrjJxz5cqVPProo1x99dXs37+fW2655cyQx6HksLe3F0VRKC0tHeGIix+BnihJRdx4gw4v\nGWWU0jlzse/oRpKgUkvQYuxv0/P35NkkHQeaKaxSwKngTBJH6/c0NolF62JAtz1LqHptWYIZl7PZ\n5qDdayqUhezFpuJctb+cd1SRhbzUk2Ry4xQWvyDUVm0T5oJRJWSvqMDZKX4x42p9cFxsd1RWEusQ\nRHJiXQWrXhOWHJMbv55zvRmi1rd1i5ldHGq1kRHDyaDrSdHX3O0o5yevizc8FQGcQqnq6aFv6xaC\nv3wckklkt5uqO0cfPDodXl6oWmL+5nZ6p4Ouc0XoXSKKu0AcM7Coo54QI31eI2QkVcCe1ljSu410\n01zWdxqxwKja0XV4vayZz3S9gb2yElddPQ7nAHesLMGXHED/5U84hrhfJtz3ABOAOqcYewpZ/QLO\nJPq2buHAr/8LPZ4w40sm9pdeeVWOKI7sdGGtzcmUqapI6Ehm//57ZdNYbMQa07qmgPzIWYAagrHG\np5zzjbwthzhaIGtp7LqGL9FP19V/x/uHRJa5xuskGE6YgjtpSUbRNSSHk25nDd4J06iuE4sCDc1T\n+QZicdre2g+WReJCDDs9hLa8TWT/AdLRQeDMkMfp06fT3t7OCy+8wPLly0/6+FFn4Hv27OGf//mf\nCQaDaJpGQ0MD3//+95k4cfQerosNxU0zoEv0N46bNRX7uyEAurvDpHRRrtpBVlkslzxmSzOizmLs\nyWSBPJ4nkFFN+uhW48TsGQGcbHa4VI0xLdbOuiLRD1mZHKDb7h52LisSlpLAPpvH8opkrtaOS/Ry\nZf8OAKoT9WxY/z7rDM/QywIBQGSa/OE2bmvfLa4lnB1o4u3HxOowRqmpIXJzIg/GzHvX5HktX09d\nAR8c4m2tIlOczI0WssMhfrNOFwz05z1WNmYMippCQkcH3qqYS3K0EsyLHak4GP3nQgTnZGZmY4Sk\nkFIU0MFxYDf45uXfz2ajY0Bl/94Av127Hz2d5h+mJLAWwWfuyRGEkQso4JRhxpd4Ythrmqpi83pz\nso0ZcbZ8kNGxqSmjZFsqxJqxQlORJU20EgwVtjmRlpeui3L3kcKXlkKSFPQxfAc2dK7vegvQebkl\nW55cXV4kyKMBf6yLyxNH8H3iZh7dOoj8xwPcf3uZSQbHlzvR1eHjUSGGnR7G3/xxtHiC0llnVlbo\nIx/5CN///vd58sknCYVCJ3XsqOTxwQcf5B//8R+5+uqrAXj11Vf51re+xe9+97tTu9oLGPbKCpCC\n5nMpLSZ0xWnIkIyU5DRvZsmitiqTRjOkOuVkCn2E3roCzjSyBNAqgGOFZikfTlgyDG41ScwgiIsi\nBwgr+fsaK1MDdDhF8LSqrSal7O1VmwzRrVYaz/SsqMDAXtZVib7G8XpWbAdASybMyma1v99sTpe8\nNeZ4oUajJmFs2X2Y1eNFWfU4Rzn5Cmu7HeXme4+0DwwvL73f6LM6lRXDQqnq2NG3dQuUumHaJeY2\nWVHQ3G48zXNx1tXhrPHjvW4loT8+A8n8xLE6Geb2jrWELFnxsOJhXdXCs/43nPfIEMeRevczEzgt\nJXpCJagd6GBarJ3NJdOIuUYvWc+c542KucwfOIiMjoTEwhlVHD7eTzCcIOibyP5UO2veCoPjfTRN\nR04l6H/1FbjmBjwNjXQ5y6Fz4Kyt1Bf8WD8c6Nu6BYCyBYuGvSYrCprdjufSBRTPm5eNL8/+0bTm\nGAlWpVVrrHmuaonpiVzAKFDsaLpmCAfZLNlGY5TPDPaS8T9dz1FDRVepjQZJSja6iypED6kEKA70\nzDm0tDhOsedVXlUVBZ8aJVxUgWIcvnzueDbuDuJQwBMJUa5GCZTVsVYexy1RFT2RIIlEy5Z3qbtx\nqYglzvJzNtZ/mGKXq6aGqV8fLl56urjlllsoKytj6tSpbN68+aSOHVPtX4Y4AlxzzTU8+uijJ3eF\nFwl8yQEchl1CPBAwZYYVjx1FSiMBU+wJgkmRZZo1eAySQk3qDW9W2TKNhC6d+X69Dxc0xqa2mp0g\npk6klmhA1vW8BiD7iusgnSX8Dj27OleWjpp9i1ZUpfoIadk+x+ZoRqt1ZMGpSbMacLQIPzebp8Qs\njR4oznoqVn/yf9G3fj0Opw3V5jTVNuWiImSjz3aoqEZOJvEEglfWgGwN/qcboAukcXT0bd1C8Oc/\nIwjU3P0Vc/uE+x4gvGE9/X95hejmjYT+/CcxEdDyl8VnMsuZxYanjD7tS/r2n90/4EJDZmKVrzRM\nEn2LmU1BTw3TYu1Z4mjeQjroxhMtBYqDnHSBYuftshmgg01P8d6hHu5Y2cRv1+4nkUjT5vCJ/ZIJ\nru/Zgi8uBK/+s8WJdqQD9HYURT4rfqkFP9YPBzJxBYCsgC9lCxYJ26XLrzBjS3T7O0IoLZUaUSBn\naHypTobZ66ljTdUV6EBz3360Qln8MDgSAySdI9xjmeygroMkYSdJSrLnt9fQ1SwJRGJm5AjvlzQM\nPWH2Hx0USUJWZFLGdlkGzSSnOioyLe5xvO2fjyQrfOH66XSH4yRTaeyKzP+KbAdN5Sm3WLguTyVY\n0bWRNVVX8My+JEWNonICzk0sKcSu00NG9LSmpobbb789Z9tYMeps+rLLLuOxxx5j1apVyLLM888/\nT0NDAz09PQBUVOQ3Cr8YUZns5YoeUWLYMGEydjWzAm03+wCiWpbQRCQ7OyuaxBM1m1WSHQpqsuBw\ndDpwq3Fiimv0HS3lwtY+RZueJG2k9WRSZvbRpSaJGKXHiqXsuEsqZnbqKHuM59Ni7aYth0fLlnWU\npaMcN77rGj3KHmOBobdiAuU9ovSnxutgRZcgfE2OKN6AmDDOmjyDKNlBoM6RYGtMnKvRETW3p7q7\nSR46QEqWqPzc54lu2QTA7Bs/yjd6xbVYg6m157Dq9ju4LfQmMNyqoxCQzx/EDh40e418t3ya/jfW\nZV9MpYZ4yGZhlcpf1fEKIXsJCUNoaZu36axe8/mOYWIRGahpkBWykzMdRdeyi0g6qJLC3vFzIZXd\nBrAgtJvtFbNQdQlkOzYgrYOkJbHbHWjpNJqxUCgbkzW/z8P1l9Xz+3UtvF06g5sabNRseplqrR/v\nx1fS5SxH2pkSwmoGkoEAccNDrYACThXWuMLdQiSt/6+vZndIJoWt0xjjS8bX8cWqJWa/4/aygv1P\nPliJo3ewh3BR/rlzcSxE0u7Jcc3wxkIMFFWgomfVaY01qtj4RhjQc4jmjN79VF3SxKbjGsm0jiop\nzKmW2BYUO8mShKylmRY5ahJPWZJBklFkie5wnN+vE+odn7hqEpeOv5tEMMBtq4XN17QFd2P3evnL\n9jgoCqnuHnRVKwh6XSDYtm3bsG2LFi1i0aLhlQkjYVTy+MorItA8/fTTOds/9alPIUkSf/3rX8f8\nZhc6dgSSZtmXM9ZnCFKDzy3jkAAJKhsnwt4+AHpLK0hm/AOTA4QNO4d6vY9jFDG8y6CAk8PJBSpr\nGWpxOk7YIUiiTVPN/tOqVD91CaGEWpMKs84tvu/Zg0eZku7mbwYxDNq9HC4Vfb+u8AGRdQCmpwIc\nkCYBUFHuMjPVpZddxupdohRxRd821lY1A+DrfI2mwYx6nahnz/yuakrtfG7PywD4p9Wb3o6JtjY0\nQ/QmdvCgmUGJ7N6F/vJLAMQt6qpW5LPqMLOSzvzN9AWcG5QtWETqlm6Ki10kXMU5QhXWLBgAuo7n\nssVEt24xy5YzUJFII9Hi8jMlHsCupkgpdtFTkynF/DBgSHlWxGURe9M1MUHWyePfKJmedFYEUnas\nPZK1kQ4mJLup8PazNiyyMfMmetjZEkJHQtZVJF0DPYVst3PHsjrqptVTV11CIJRdDJpwyTQuuXyS\n+bzrYDu3zq+gbpq4P9v2i740Xe0/o4JTJ/JjLeDigbPGj++WT5vq2da4Etm9a1jPb+mVV+FubCT4\nn78YFltaXH5SyMjohOwlVCfD7PRMNomjpKsnpe1yQcLIDo4JIwjehIsqsGkpNB2RpZUQis6SQsRV\nbs4nMhh0liCpybyx+3B/9uS1kQ4WRfbTFG1DHT8Hp9/Hq1uFAuqkWh+7jx8njURacoBkoyndxcJL\nZgJw2ZxPsdyYA1jjU6XXBSRx1vgpv/EmQMwdZtTV89Xp/fS0tFH9zH+wyvB1PBexpBC7PniMSh5/\n/OMfs23bNm677Tbuvvtu3n//fb797W9z/fXXn4vrO6+QHohgtddQpOz2dFo8sR09CFQB4LZMXgYV\np3lcCCdFpArk8TQwlhLUoYhZvDYjtmzWUhmiirvHK+Sja7reZkFoFwCX6x3s9dSaPlVtzkpz/zZ3\nlRnU9xXVmQqXYRzc3rEWAFfFHLS0UUqaTqNmRhWHCwz7SO+SpaSc5dhcgky66uvxvLkGgKKma4nv\nfV9cb0k2WKoDA3n/1kQwYCrmZRQbM8hsz9g+WJVQCwH5g0O8rZXwyy/RL0nU3nu/Wbqa6VPK6T/S\ndZFxzpMhUJHQFLtY6Op6m7J4b9bv62IjjlaD8WG9PBiTvEx5qmI+lHUVDVn0Ap0glki6yrhokKCn\nxiCUOorRr95RXMuzxbXcvH89V166nI3HNfZ0Jvjc8nqKu1rpf/VFQvYSXplwFbLDbhJHgIVNfgZn\nHzQfg/j+t/74UVZXLAcpzL2lDhx+P6u3dKH5lnF93zak3gQNhupE5MgR4qHoaZHJke5zq7VOARcu\n8ipdG6WrZQsW0W0sNlrRv+41Ma7Icg553OupMxfPbVqal6qu4N2i4+YiKoAuKehS/nL6iwYnIo45\nMUjHXOCWLI2LBlmfG96H3V/LxqTPyCJmF6xqB7voKK41n2uAXdeYa8xHdnqno9ocqEPi3bRYO9X+\nctomLeHPO1NAkE9dNYVKr4tpkVa87aIP/uUJV4MkMeP2T+fYZZQavbF1CxaBWGPmEk+SYz/6AQHJ\nw+rKqwC4t+IADr+fn/73DjQ1ze0WX0c4N/GjKtFrPCrMVT4IjDoDf/jhh7n//vt55ZVXcLlc/OlP\nf+Kee+75UJLHBVN9RDc9D8Dya25igUOs0rz+xm40WfyAd/eT177RGm7SKYnKxAC9du/wHc8aLq71\nQE2SMATxT+l42UIY/ckwrc7iYfscdVbT4RkHQHNnGxVKCpsmyo3rEt3sMUrgqhJ9RJziu/QkImQE\nd0v6e8y+kO7OIKoizqX4ypGMMdlW4QPDszGyexdVs2az4vgG47zzydG/MoiCzZv93RTPm4ezTswm\nK69bSfGs/LLoY1VRLZDG8wdWcYviWbOFQI61z1HXh2UGIDfWvFEx9yIWrhAuiioYK/cacjqOZi/K\n2ScrOCGBBFMirbS7a4wMbTYuyloKRYfGgSPEZQeHSyeiSwrdRVUs696W9caUZRo9afZFDA9HpYjN\nR2OkZAcKafpsHlL2EsYZ9/6nZjiZsmhOzr3Vt3UL4559XDz2O/IKmWQgKTK608mamiW88vpx7vf7\nqUr00vLjR9B0Henvv47D7z9j927BWufiRua3Fm9rJfTi87kvyjKk02Yf/cjQSSqOHOJ4USCVAvvo\n8VLRVUpiYbP0VNI1dM2IxWa/5xAlZ4N0LpxUDO++zU7vNGTNiawlRYW6cdzk/qNc3beT17WU5fOV\nuCy0k82+ZhG3JAlFgo/MH09Pa7tZjoos8Vu1idRhCcmWxum0Ma0oBckUHQMq1ckw1ckwUxe4KZ41\ne1hMsvbGLrT8TvIhEIoymDDar/7uNiZMLDF9HY/96Ad0GpnIs+HlWIhRHzxGJY+aprFo0SLuu+8+\nVqxYQW1tLdoIQg0XO8oWLGLRwYPmY6dxU1XU+GBAlBmUO6DduI+L9Lh5bG0qzGG7YBVNhDgyUuP0\nWcFYxWXONbJKqCcLm6aSlPOvAFpVVYvTESL2cuNxnIhRtlqZGiBgPK5ID3A4T5maS0ua/WIhTyWS\nZCdtZCmmx9vJyKouHtjLMY9YJWyOHmZCUpS9zirH7IXtSdtJOwyfx5iO7DB8k8IZbVYY3LuXLmc5\na7zzARgfHDCNX9LhsGnXYK+sxHfLpykudkGN38wkFs+anRNE86me5VM+PVl1tHhbK5GoBzwfnn7n\ncwFXXT1Vt99BWakbLN9F39Ytojx5DHG3Ohnmjo6XaXGJbNZ639y8AlDnNfL5nuX1QpNyFvklyCWO\npiRxihkDRzhY3kAKhWNl9UiSRDqtg+JAQmcWXRwyzLKnx9t5qXpJzjt51SgOdJKIzO6+qANFBknX\nKVl0GfL+KE41yey+Q/x+nTjmat8lbCqdgbw/zR2NogysrrqEeFursNUxkOru5tDOA4QcJYy764vc\n09ONo6LSnHTdv2oegVDUFKTIIKiU0iMXsfYv7UjK8bPSp5wICmuqwuTswkNm0j80vsfbWkkEA+I3\naLQ/mPAUj2j90xRt4+bAOvP5s1VL8vufXsiLVWMgjqCj6zrhTBm8BDoyZPr9tBSKIqPqYk5hU1PU\nxQMcLhaf/6TJNTzfPpNEGuw6OJwO9LRKOi3kbOYMHhbemZZ4J9sUvKqIIWkkNMmGpsFr29px2BU+\nOa+MknSE8lQzb70vkZZsoOlcVyt8F5/yLUN2u7nl5i9S7VGYcfVi4m2txNty+6g7HV5C9hLUAdVU\nYrf6NI4zNBUamqfi6BzA47ahaTr2ygq6nB7TiqNTKRXv+Zd2HjiDC1s5yLNwWsC5w6jk0e1281//\n9V9s2rSJhx56iN/85jd4PJ7RDrso0bd1i9kvYPN66X3+OQAaPvYJUAWRubpOonHbOgBqm6awvUeQ\nyilFCTJamw21pezucHDu8EFMH8fynsMJ21jPWZqO0W9zW7wys685tTSZIbFUjRGhfNjj2mSI63rf\nAWBjSVZIZEDJ790o2ezIRdlS17DioaVErApOj7djy7x/SSlNPWLQlv1TTfJYYUvhNPofJ0famRwX\nixDVtmxvg8PvJ1VRiWqwUqW01FS283m9dJYIZ8YaIPTi84Qliao7Pj/CZzXyhG/o9pOZGGZW/DqM\n0srCpPLMId7WSteTT9Bj+WxzVoNl2SSQQxUPM8hsnxIPELKXsDS0g3UV805YmnleQR8hbozgVabp\nmlnupWd6GIfgqtAOLh/Yx361ixfLF2CzO7lsSglvHuhH03QkNcUhyliptKAGBFlSdA2HTWLOBA9z\n6oqZuGcCvu1reb2sWWQDJB3VuNSXD6f57JwSlL88R0j2sNXINggxRAlV0/j1i3uRNJX/3Zik6G8v\nAkIIqSMmsem1bTxXJpNWHLidCt+87dKcyVZddQl11SX4fR7zeVsnrJ5wLem0iiRJJx1JT4TMZHFo\n6TtVs0Y5soDzBSNlZuJtrbT+4LtZ0qgooKrZeDIQHnauzGsZ+FKiVcImieXfCxrWsveRICEED+Vs\nRlGzxNOJrhRHI2SJtGznsuIBqg+I+YVPjVL60Wv42UFAloi3taKmRUWElEpx+3JBubr/8D/4En3m\neRWHg480luJ125hR62H3f4nsI8C66oVCJVWFmKZSM8nPJZ4kiWCAKza+ybryuUJldfPfRC8loKoa\n/7MniSzDNyoOoP/yJznZwd1xD0/UXkdasePeluCbs7IWQZnfT4PFqLGuuoTvfmUpew515iqt1tVT\nc+ddyH9pP6sCOhfcouhFhlFnFD/84Q955pln+OlPf4rX66W7u5sf/ehH5+Lazmsk2toI6oJM9O1t\nAUUQkOOd/WZwhaxRd0QqMic2/bZiapIBMxN5OuWXY4FDS5M8p5PHsd7WI/UOZDOSViXU4vQgEbuo\nqZ+U6KRHLeGwkcGtTPbRbRd9XSN5LVofR2Wn6UtVkwqbKqolaoxMTsCjJbAbAjnlsV7GKRJX9Yvv\n1qtGzawkkmSqp9ZPLqfVWLltnDyZ9rYuACbXlnPbdtH/WON1oveLK7TXTTWNl71LlhLtTZgtFV1x\niT8aynafTpfy+3EfA6BiQEWJxcxPeaTMYaFv6cJCIhgQq6k2G5Hdu8ysjwkLcRyqeGjdriKJ/xT7\nqD195x1GIIk2Lc3c8F6KSfJmxVxUXUbWUkh6NruPDgvCoi94q3emWSY2fuFcVP9ywms3sqTvfbQ+\n2BCfiY4EkkxatiOrSbTuEGurFgPwyQYZd10NT7/Tw57OBF9ubia0q90sI5vjjvJ+xEFKtqPIMKG+\nBvQINYl+6HkLWZZpuP4jTLGL7MRT646iA/2vvoKLJLLDwf7iiTyxM4jqXWgK9KiqniNWUVddwqGd\nIj4MLf+SZAWbXeJzK6bh93nOyOp+IWZcHDBjiSJ+VxmfR2eNX5RmZmAQx3zxBEaOKbWDnWZv/wWN\nPMRR0jUceprFvYKorS+fI/5WLUVlzNI/bqAo2IpSMgnV0gup1TXgcqWZ9M5aul0+jmzYilS+AFVx\nsHZ/AgmRdVTQSIV7eWZ/Gq3yclZ1vkbj4nncNmEiT23pYvPhCN/42HiOtQZ51r8cgJsD61jpT/FK\nh8gw2mVhI3fs5z8B4BO330HJ4TjRd7YyMx3Ee91Kblu7jh65mJfL56MBR3YfIuYYxwtl82FtG19w\nlPDU5i7SlkxyJg6dKAZNri2jtzfKUDQ0T+WB0/CGhtFjkaycySWzAk4Wo84q/H4/99zLOFC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2RrkXbypoWl6LnZqW7pZJZ/p/fSbF2rYFNJYlPqA+ylcLO2LqFbt7paqtzroXknkr5dYNuvTjFw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\nMsXFxZ1e5oULFzh69CjZ2dlBLd/lcnH33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"text": [ "" ] } ], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "sns.kdeplot(nyc_data.split_frac[nyc_data.gender=='M'], label='men', color='b', shade=True)\n", "sns.kdeplot(nyc_data.split_frac[nyc_data.gender=='W'], label='women', color='r', shade=True)\n", "plt.xlabel('split_frac');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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M8Nprr3HzzTcD4HK5KCwszEhhItloPGQzOLN4jDMQBGOI9fdn/HOLyMmZNmQbGxspKyvj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\nBr0MDupg73TLmnYeGsDa8Sbs34k1uju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"text": [ "" ] } ], "prompt_number": 45 }, { "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", "collapsed": false, "input": [ "def age_range(age_min, age_max):\n", " return (nyc_data.age >= age_min) & (nyc_data.age < age_max)\n", "\n", "sns.violinplot(\"gender\", \"split_frac\", data=nyc_data, palette=[\"b\", \"r\"]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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do8o8ecpfV5ebLyQl21hRdDMti4pwmIOhAIdCIUpDQZpOidE+fXIZPXoso0aN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\n7WPBgufZvn0rXsPgqth4BrT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"text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is yet another way to view the distributions among 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 which specifies the decade of age that each person is in:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "nyc_data['age_dec'] = nyc_data.age.map(lambda age: 10 * (age // 10))\n", "nyc_data.head()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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firstlastagegendersplitfinalsplit_secfinal_secsplit_fracage_dec
0MARILSONGOMES DOS SANTOS31M01:06:0702:08:4339677723-0.02732130
1ABDERRAHIMGOUMRI32M01:06:0602:09:0739667747-0.02388030
2DANIELRONO30M01:06:0602:11:2239667882-0.00634430
3PAULTERGAT39M01:06:0602:13:10396679900.00725930
4ABDERRAHIMEBOURAMDANE30M01:06:0602:13:33396680130.01010930
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 47, "text": [ " first last age gender split final split_sec \\\n", "0 MARILSON GOMES DOS SANTOS 31 M 01:06:07 02:08:43 3967 \n", "1 ABDERRAHIM GOUMRI 32 M 01:06:06 02:09:07 3966 \n", "2 DANIEL RONO 30 M 01:06:06 02:11:22 3966 \n", "3 PAUL TERGAT 39 M 01:06:06 02:13:10 3966 \n", "4 ABDERRAHIME BOURAMDANE 30 M 01:06:06 02:13:33 3966 \n", "\n", " final_sec split_frac age_dec \n", "0 7723 -0.027321 30 \n", "1 7747 -0.023880 30 \n", "2 7882 -0.006344 30 \n", "3 7990 0.007259 30 \n", "4 8013 0.010109 30 " ] } ], "prompt_number": 47 }, { "cell_type": "code", "collapsed": false, "input": [ "sns.violinplot(\"age_dec\", \"split_frac\", hue=\"gender\", data=nyc_data,\n", " split=True, inner=\"quartile\", palette=[\"b\", \"r\"]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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GVTVI2gIADctiiEaLqqoqrFu3OgItDM327VtRVVUJVdwVjSaGMgyDEe6qYqtW\nrYxAC4OXk3MBO3duA6uJBh/Ts9H7dOdV6NIOc2HWrv1BSrYzdIIqrm+z9x2t00PFMFj9wzewWMyt\n1MLgbd++BT/9tAas2ght52sbrS3ij84qFW40RMHldODdd95oUJK6tQiCgE8++Qg52RegiukFVWyv\nlh8UgCs10mhbuJKbWwzy69evx/PPPw+WZbFo0SIcOnQIv//978PSmLYkOzsLOTkXwBs6g+W1AT9+\nsFaHiXojzDUmvP76y97s4LZiw4Z1qKwohzq+n19TEQzDYKzOCAbAypXL283a6127driDYB8wLN/o\nfYZq9YhiWfzyy08NysK2ZQ6HHevX/wiG5ZrtLfVRqdGZ53H06CHs2bOzFVsYPFEU8cUXn0EURWg6\nDmtyLTLDMJhkkHJhVq74pF3MXR85chBr1/4AVmWArvM1LQZBA8thqEaHalM1fv65bW/msmfPTnz2\n2TIwnAbaruMbTI8FqodKjcmGKFhtVrz99n8b7LLYGr7//mvs378HrK4DNMkjZD9+vHsJ9okTaWHZ\nFbPFIP/bb7+1q7kgufz22yYAgCouuHWQANBfo8XNxmiwLheWLHkP3377VZtY01tSUoyff/kJDK+D\nukN/vx/XgecxUKNFYWEB1q1bE8YWysNut0u9c4ZrtrekYhhM0hshiiI+eP/ddlMBb+vWVFRUlIOP\nvaLZC1EpKTQKKobB559/3C7yKnbu3IZz586Cj+raYtnQKJbDVEMURJeAhQvfbNOBPi8vB0uWLAbD\n8tB2HVtnR8vmDNHqoGdZbNr4Myor22aS6K5d27Fs2QcAy0PXfSK4ZqYAA9FHrcEEvREmkwlvvfVK\nq1YB/Pnndfj553Vg1VHQdR0Hxr2iQ269VRq4XK6w5B/4tU5+2rRpmDNnDp577jnvPyWrqqrEnj07\nwaqNjZZ5DUR3lRozo2IQw3L4+ed1WLDgtYgHkdWrv4XT4YAmcTAYVhXQY0frDDCyLDZsWNvmVxBs\n2vQzysvLoI7v2+LynS4qNUZp9SgrL8PChW/AZmvb8/MWixnr1q0Bw6qgTmj5Qi2G4zBBb4TNZsOC\nBa+32UABSAmvX3/9BRiWhyZpmF+P6apS4waDEQ6bDQve/m+by8oGpGzzd959EzabDZpOo+ps1tIS\nFcNguEYHm92Gn35qe9NKqakb8fHHHwKsCrpukwJ6bf4YoNFipFaP0tJSvPvum63y/UxN/RXffvsV\nWJUeuu4ZgdVIAAAgAElEQVQTQx6VaI6n6Njx48dkP3aTQT47W1oTPXPmTDz66KMYN24cRo4ciZEj\nR2LUqFGyN6Qt2bjxZzidTqji+gVVsrC+OI7HnVEx6KFS49SpE3jpP89HLEBmZ1+QLmA0cU3OczbH\n0+sVBAFLlixus8GwpKQYa9euBsNr/AqCAHC1Voe+ag0yMzOwaNHbbXqDkLVrV8NkqoYq4Uq/Tz5X\nqDUYodWhpKQY7yx4rU1uZSqKIj777GOYzTVQJw4OKMGpt1qD6cZoMIKADz9ciB9++KbNjEI6nU4s\nXrwAZaUlUHcYGFAyr0d/jRYxLIctWza3mQJAoihi3brV+OKLT8HwWui6TwqpQExzhmt1UlW87Cx8\n/PGHYU203Lo1FV988Zn0mrpNlC3RrikJHActw3pr/MupyQj21FNPAQA2btyImTNn1vl3xx13yPLk\n27dvx0033YSpU6diyZIlDf6+du1azJgxA7feeitmz56NM2fOyPK8zamsrMTmzb+C4bWyJlhoWBbT\nDFHe3uKrr7wYkWzZH3+UCmtoOg4JOiGmq0qNwe5h+88+W9bmsppFUcTKlZ/C4bBD03Fok5UK6/PU\nOujpvhh7553XYTa3vUSn3NwcbNr0M1iVEeoAM5dHaPXo7y4f+tZbr7a5QL9jx1YcPXoInL4jVHFX\nBPz4rio17oiKQTTL4aef1uCdd96AqQ1sJ/zFF5+6px+6Qd3MctXmcAyD6/QGCIKAj5d9EPFdLz1b\nxK5e/S1YlQH6HpNl78H7YhgG4/VGdOJ5HDy4Hz//HJ66HTt2bMXnn38MhtdA131SsyuP5MIwDDrx\nPMrLy1BeXibrsZsM8gzDYPbs2di7dy8eeOCBOv8efPDBkJ/Y5XJh3rx5WLZsGdavX4/169cjI6Nu\n77Zbt2744osvsG7dOvz5z3/Gv//975CftyU//vgd7HYb1B2uajJRK1gMw2C4To/pxmhwgohPP12K\nL774rNXm6fPycnD06CGwuoSA9kBuzGidAUnuEpSeC4e2Ys+enUhLOwJOnwQ+umdAj+UYBlMNUeit\nUuPs2dP476v/aVOb8zgcDixd+j4EQYAmeXjAn1HPrl9XqjW4cCELr7/+cpsZus/Pv4gvv/wMDKeC\ntvPooC9CE9wjZ93cW5j+J4IjZ4AUNLZt+w2sJjak1wVIw7r9vDXel0ZspMLlcmH58iXYvPkXsJpo\n6HpMbnIZoJyk72c0DCyLH374RvaVS3v37sKnny4Fw2mkaQefHQ8DYRIErKwsw26fRLpNpiqsrCzD\n6qrasvDHrBasrCzDysoyxLBSOM7OvhDSa6ivySD/+eef45lnnkGHDh3w5JNP4oknnqjzL1RpaWno\n3r07unbtCpVKhenTpyM1NbXOfYYNG4aoKOmDM2TIEBQUhHdv7KysDOnLqI4OeuMBf3RXqTErKgZx\nHIfU1F/x3ntvt8qwt6dGsiZhQEgnGkAqQXmTuwTl2rU/tJliKxUV5fjyy8+lxKZOI4N6nRzDYIoh\nCgM1WuRdzMVLL/2zzWTdf//918jLy4EqtnfA+1h7eEYsBqi1yM3NwauvvhjxNfQOhx0ffrgIdrsd\nmuSRIQ+Pat2V0zzzuK++8iK2bNnU6qNOFy/mYcXK5WA4NXRdx8rScRinN6Ijx2PPnp345JOP4HQ6\nZWip/5xOJz76aBF27doOVhsPfffJfq3QkYueZXGDPgqCIGCpjFOGR48erk0c7Dahzj4CrSHandQn\n9wqCJoO80WjEyJEjsWrVKowaNQqjR4/2/vPMyT/66KNBP3FhYSE6dao9SSUlJaGwsOkTzXfffYcJ\nEyYE/XwtcTgc+Pjjj6QlO8nDZZmLb040x2FmVAy68iocO3YECxa8DovFErbnq66uwr59u8Gqo8A1\nsWVuoPQsi5uNUdCxLL788jOsW7cmokP3oihixYpP3PO5Q8CqjUEfi2UYjNUZcJ3OgOqqKrz22ryI\n7wh29OhhbNy4Aaw6yu+EtKZIQ58GDNfqUFRUiJdfnhvReg7ffvsVcnNzoIpNCWq+ujGeGgG3GKPB\niyJWrFiOTz75qNW2MnW5XFi69H0pybXTqJA+j75UDIPpxmh05Hjs3r0Db775CsrLWyfjXArw7+Hg\nwf3g9InQd5/k9woBOXVWqTBUo0NxSbEsI4lZWRn44IOFEMFA13VCyHkFRpbF/THxuFZfe7E6xRiN\n+2PicUd07cXDEK0O98fE4/6YeCTy0gWg3COHLV5WJiQkNPm35oJySwLpYe3duxfff/89vvrqq2bv\nFxenB88Ht8Rh6dKluHQpD6rYPiHXJPaXmmFxszEaqTXVSE8/g6VLF+GFF14Az8s7TQAAO3ZsgtPp\nhCapT8i9eF9xHI87jDFYZ6rE6tXfwOEw449//CM4LjxLTZqza9cuHDlyCJw+sdHNdgLFMAwGa3WI\n5ThsrjHh448/RFlZIR566KFWf30lJSX4ZPlHYBgO2i7XBrwqojEMw2CUzgAjy2G7yYQ3Xn8Zf/nr\nXzFx4sTQGxyAI0eOYPPmX8FqokO+eGlMN/fI2UZTNXbt2o7ionw8/89/Nntuk8OaNWukWhsxvaBq\nYe+LQGlZFjOiYvCb+9zxnxefxRNPPokxY8bI+jy+RFHEO++8g0OHpACv6zZB9inNQIzU6ZHhsGPT\npl9wxx0z0LlzcJ2XsrIyLFr0FhwOB3Rdx4LTd5C5pf7Ru4frnU4rEhPlm/qI2DuUlJSE/PzaYYmC\nggIkJTUMrmfOnMHcuXOxbNkyxMQ0Pz9SXh5cktShQwewdu1asOpoaJKGBHWMYHEMgxsMUXDVVOPo\n0aNYvPhD3HvvQ7I+hyiKWL9+g7RePEbeak2AtDzr9qgY/GSqwk8//YSsrGz87//+BXp9eDNSfdls\nNixZshRgWGiTgxumb4pnGeTPpiqsXr0aWVnZePTRJ6DRBF4kKRiCIODNN9+AqboamqThYVmeZGRZ\nbKqpxltvvYVTp9Jx5513g2XDO5oFSO/bu+8uBBgG2k7XhC1oRLEcbouKwXazCWfPncNTf30KT835\nP3Tv3jMsz2exmPHVV6vAcGpoOg4Ny3Oo3PkjJ2xW7DGZ8Morr2D06Gtxzz0PIjpa/mSxH374Br/9\n9htYbTx03caH/F59W1WBFLXG29vdZKpCocsJA8N6e7vHrBYct0kjnLdHxcDIcihwOrC5Rkqm7KVS\nI81mxfLln+NPf3o84DZI363XpO3TWRWc5iLvHgmWi7vhspSA5fXQ97wBAGAvOwt7mbRrpb7HDWBV\nergsJbBclIqdaToGf5Gqcm8OXVlZjeLiwJJFm7soCP+3uAkDBw5EdnY28vLyYLfbsWHDBkyePLnO\nfS5duoQnn3wSb7zxBnr0aHov4lDk5eVi2bL3pTncIHpIqTXVASVXmAQpya7A6fDeluWw4wZDFOI4\nDps3/yr7MoozZ06hqKgQfHQ3vzPNA2VkpemHHioVTp48jpfn/RuFheHNofCVmvoryspKpQp+YciG\njfWZXjl69DBef30+qqtbp97Bli2bcebMKXDGzrKMUDTGcyET667n8M47r7dK5v2vv65HaWkJ1PH9\nwrb0yoN3L/8co9OjorICr77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QhrVDLPjQ1i5eAOmEk+90ID4+IaTSlAaDtFGR6AwtCMrp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\nmruBMRpDXf8RhDwAHSN5bQb5sDD3+yj69z42uZ+nx+l6ALj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TTZlqN4OQblgP8qxP10+d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"text": [ "" ] } ], "prompt_number": 48 }, { "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-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 out-perform *everyone* in terms of their split time. I'm not sure how to explain that.\n", "\n", "Back to the men with fast second-halfs: who are these runners? Does this split fraction correlate with finishing quickly? We can plot this very easily. We'll use ``lmplot``, which will automatically fit a linear regression to the data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "g = sns.lmplot('final_sec', 'split_frac', col='gender', data=nyc_data,\n", " markers=\".\", scatter_kws=dict(color='c'))\n", "g.map(plt.axhline, y=0.1, color=\"k\", ls=\":\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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a+SuhFItk0uBkzwgH24c43jVCZ3A0b0G1paaijEuaKtjUVMllrasoLyv+dDoJ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"text": [ "" ] } ], "prompt_number": 49 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apparently the people with fast splits are the elite runners who are finishing within ~15000 sec, or about 4 hours. People slower than that are much less likely to have a fast second split.\n", "\n", "I would hypothesize that you could describe the distribution of runners with a two-component Gaussian distribution: there are the *elite* runners who are in shape and have fast splits, and there are the *casual* runners who are less in shape and tend to tire out more. When we get to *Unsupervised Machine Learning*, we'll have a chance to test this theory out." ] }, { "cell_type": "code", "collapsed": true, "input": [], "language": "python", "metadata": {}, "outputs": [], "prompt_number": null } ], "metadata": {} } ] }