{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Lecture 18: Data Visualization\n", "\n", "CSCI 1360E: Foundations for Informatics and Analytics" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Overview and Objectives\n", "\n", "Data visualization is one of, if not **the**, most important method of communicating data science results. It's analogous to writing: if you can't visualize your results, you'll be hard-pressed to convince anyone else of them. By the end of this lecture, you should be able to" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ " - Define and describe some types of plots and what kinds of data they're used to visualize\n", " - Use the basic functionality of `matplotlib` to generate figures\n", " - Customize the look and feel of figures to suit particular formats" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Part 1: Introduction to `matplotlib`" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The Matplotlib package as we know it was originally conceived and designed by John Hunter in 2002, originally built as an IPython plugin to enable Matlab-style plotting." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "IPython's creator, Fernando Perez, was at the time finishing his PhD and didn't have time to fully vet John's patch. So John took his fledgling plotting library and ran with it, releasing Matplotlib version 0.1 in 2003 and setting the stage for what would be the most flexible and cross-platform Python plotting library to date." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Matplotlib can run on a wide variety of operating systems and make use of a wide variety of graphical backends. Hence, despite some developers complaining that it can feel bloated and clunky, it easily maintains the largest active user base and team of developers, ensuring it will remain relevant in some sense for quite some time yet." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "You've seen snippets of matplotlib in action in several assignments and lectures, but we haven't really formalized it yet. Like NumPy, matplotlib follows some use conventions." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "import matplotlib as mpl\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "By far, we'll use the `plt` object from the second import the most; that contains the main plotting library." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Plotting in a script" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's say you're coding a standalone Python application, contained in a file `myapp.py`. You'll need to explicitly tell matplotlib to generate a figure and display it, via the `show()` command." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Then you can run the code from the command line:" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "
$ python myapp.py
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "**Beware**: `plt.show()` does a lot of things under-the-hood, including interacting with your operating system's graphical backend." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Matplotlib hides all these details from you, but as a consequence you should be careful to only use `plt.show()` *once* per Python session." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Multiple uses of `show()` can lead to unpredictable behavior that depends entirely on what backend is in use, so try your best to avoid it." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Plotting in a shell (e.g., IPython)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Remember back to our first lecture, when you learned how to fire up a Python prompt on the terminal? You can plot in that shell just as you can in a script!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "In addition, you can enter \"matplotlib mode\" by using the `%matplotlib` magic command in the IPython shell. You'll notice in the above screenshot that the prompt is hovering below line [6], but no line [7] has emerged. That's because the shell is currently *not* in matplotlib mode, so it will wait indefinitely until you close the figure on the right." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "By contrast, in matplotlib mode, you'll immediately get the next line of the prompt *while* the figure is still open. You can then edit the properties of the figure dynamically to update the plot. To force an update, you can use the command `plt.draw()`." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Plotting in a notebook (e.g., Jupyter)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This is probably the mode you're most familiar with: plotting in a notebook, such as the one you're viewing right now." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Since matplotlib's default is to render its graphics in an external window, for plotting in a notebook you will *have* to specify otherwise, as it's impossible to do this in a browser. You'll once again make use of the `%matplotlib` magic command, this time with the `inline` argument added to tell matplotlib to embed the figures into the notebook itself." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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xWRoezrsJVzh9mp+Jf/5hZY1j6WyzZkwmjx9vrL1GUrAgsGoV8OSTaW8rKpSC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\niVtNp95w8s40TznSCkCoF+xIC6fsVEq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "x = np.random.random(10)\n", "y = np.random.random(10)\n", "plt.plot(x, y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Note that you do **NOT** need to use `plt.show()`! When in \"inline\" mode, matplotlib will automatically render whatever the \"active\" figure is as soon as you issue some kind of plotting command." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Saving plots to files" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Sometimes you'll want to save the plots you're making to files for use later, perhaps as part of a presentation to demonstrate to your bosses what you've accomplished." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "In this case, you once again won't use the `plt.show()` command, but instead substitute in the `plt.savefig()` command." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "An image file will be created (in this case, `fig.png`) on the filesystem with the plot." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Matplotlib is designed to operate nicely with lots of different output formats; PNG was just the example used here." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The output format is inferred from the filename used in `savefig()`. You can see all the other formats matplotlib supports with the command" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "{'eps': 'Encapsulated Postscript',\n", " 'jpeg': 'Joint Photographic Experts Group',\n", " 'jpg': 'Joint Photographic Experts Group',\n", " 'pdf': 'Portable Document Format',\n", " 'pgf': 'PGF code for LaTeX',\n", " 'png': 'Portable Network Graphics',\n", " 'ps': 'Postscript',\n", " 'raw': 'Raw RGBA bitmap',\n", " 'rgba': 'Raw RGBA bitmap',\n", " 'svg': 'Scalable Vector Graphics',\n", " 'svgz': 'Scalable Vector Graphics',\n", " 'tif': 'Tagged Image File Format',\n", " 'tiff': 'Tagged Image File Format'}" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "fig.canvas.get_supported_filetypes()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Part 2: Basics of plotting" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Ok, let's dive in with some plotting examples and how-tos!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The most basic kind of plot you can make is the *line plot*. This kind of plot uses `(x, y)` coordinate pairs and implicitly draws lines between them. Here's an example:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "x = np.array([4, 5, 6])\n", "y = np.array([9, 4, 7])\n", "plt.plot(x, y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Matplotlib sees we've created points at (4, 9), (5, 4), and (6, 7), and it connects each of these in turn with a line, producing the above plot. It also automatically scales the x and y axes of the plot so all the data fit visibly inside." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "An important side note: matplotlib is *stateful*, which means it has some memory of what commands you've issued. So if you want to, say, include multiple different plots on the same figure, all you need to do is issue additional plotting commands." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x1 = np.array([4, 5, 6])\n", "y1 = np.array([9, 4, 7])\n", "plt.plot(x1, y1)\n", "x2 = np.array([1, 2, 4])\n", "y2 = np.array([4, 6, 9])\n", "plt.plot(x2, y2)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "They'll even be plotted in different colors. How nice!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Line plots are nice, but let's say I really want a *scatter plot* of my data; there's no real concept of a line, but instead I have disparate data points in 2D space that I want to visualize. There's a function for that!" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.array([4, 5, 6])\n", "y = np.array([9, 4, 7])\n", "plt.scatter(x, y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We use the `plt.scatter()` function, which operates pretty much the same way as `plt.plot()`, except it puts dots in for each data point *without* drawing lines between them." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Another very useful plot, especially in scientific circles, is the *errorbar plot*. This is a lot like the line plot, except each data point comes with an errorbar to quantify uncertainty or variance present in each datum." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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5OknnzuF0pH/8o7hnVILL6oknpBbk/v3pky+IMCIm8wlVvbrqqsRx7QUFElkW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\nUUp9B+AtAB2VUhM8lskrdgD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# This is a great function that gives me 50 evenly-spaced values from 0 to 10.\n", "x = np.linspace(0, 10, 50)\n", "\n", "dy = 0.8 # The error rate.\n", "y = np.sin(x) + dy * np.random.random(50) # Adds a little bit of noise.\n", "\n", "plt.errorbar(x, y, yerr = dy)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "You use the `yerr` argument of the function `plt.errorbar()` in order to specify what your error rate in the y-direction is. There's also an `xerr` optional argument, if your error is actually in the x-direction." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "What about that statistics lecture we had not so long ago? We have a bunch of numbers and would like to visualize how they are distributed to see if we can make any inferences and predictions about that. Histograms to the rescue!" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "(array([ 2., 2., 5., 5., 5., 5., 13., 10., 15., 9., 10.,\n", " 4., 2., 6., 2., 2., 1., 0., 1., 1.]),\n", " array([-2.15553666, -1.88773054, -1.61992441, -1.35211829, -1.08431217,\n", " -0.81650605, -0.54869993, -0.28089381, -0.01308769, 0.25471843,\n", " 0.52252455, 0.79033067, 1.05813679, 1.32594292, 1.59374904,\n", " 1.86155516, 2.12936128, 2.3971674 , 2.66497352, 2.93277964,\n", " 3.20058576]),\n", " )" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.random.normal(size = 100)\n", "plt.hist(x, bins = 20)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "`plt.hist()` has only 1 required argument: a list of numbers. However, the optional `bins` argument is very useful, as it dictates how many bins you want to use to divide up the data in the required argument. Too many bins and every bar in the histogram will have a count of 1; too few bins and all your data will end up in just a single bar!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Picking the number of bins for histograms is an art unto itself that usually requires a lot of trial-and-error, hence the importance of having a good visualization setup!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "The last type of plot we'll discuss here isn't really a \"plot\" in the sense as the previous ones have been, but it is no less important: showing images!" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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iwTAgcmJcf0giKHi+Rxg7DKWQWPKx7Q5PP7XIR156jOKIweT0NAeHPb7+6hv8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\nBbsp5asMJ/sIunR2N7eIRKKUi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SKdTuPxeBgfH2NxZRPLhKA/THc8TqmUx7KblMpFjFad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WRXw/ha64YYTrusQxDA8PYxgGsqDcm6+v1WqUy2VWV1c5dOgQlUolpRolErmsTK3WYHNziySB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0aXOpPhuIwTFxpJUrD+aJ215R3SJEfkOqZuU6QKqbQy1VgAmoYi/Ig1YOgGUIBIUZQAGCUl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W0O12GA76LPQHdDpdyrLgxvoam5tb3Lq1GWJGtEBpxVzEIZteSPARQqRIE56vrm2wdgwh\nJEgRsHopwXoTMD6vwRmU9CBiausQvk3IlRLbeKz17fYW0s4C/X6fS5evo2RMFsd4DMYaalsjpSCN\nsiDLbHdJFQFbd02wzzPGIGXc0p3Ak+Kdx0nBTCmEFIh+h+TVhj94vA9DE6cshQPnBcIIDvZn4b1s\njls801MVE5QQ6CgiUhpnHcQZeCjKAq00zlnqZnbE1QZHnmekWUSWRRw/vspwsMxweZlON6a30COK\nE+IkI5IlZRl2HpPJHINnPp0hsTTliG6WE+mEajrClsGzwTmLjtLAbFAe6z0ba3tcu7SBdxL8X5xL\n1Rpw03v/VPvzhwlFdVMIcdx7vymEOAFstX9fB8686v6n29/9R8eFR5cY7e5z74VleoMM4mCae3zx\nBM0ocDDndo5KM4g1lY24dXuHU/esoBKJnHkSgipmMp6S95cRQrKwsIiUnqaqyUhQSqC0J+1I5tWI\nTrqIkh2E8sRRMJUeLi2zeeU2mJI8jxnPG0SacnAwIYo7NNRopdna2mLhxALzco6VHqxGyhSLQ2hJ\nZ6GD7kTsXdtHRRqlLf1+n9HOHOk5MpAwxiBEyC2HO3LV4KhzZ1DV7XbxwiNFMG7RUvPUk5/jXd/6\nzpB11RbJrNtlNgmpld6LMBCZzRDW42tDKRqESpFeoFQUsGBLC9qHYiILQV3XHDtxjNsb2zTOEaUp\nly5d5L6HHsYJj5Q+FGKf4ExgXfzQ93w/l198jl/59V/j/tc9RBNrxlSksUR0JGkTsxRL1m9Ynnvu\nKqvHj3N7Z5PXv/FhPvvpL1BMK27MbvGGh96AyHKirMPmzm2IG4yccvmVF3n0kTdw+9YGJ050eOXK\nNS7cd57ZaM5b3/x20jThM09+GoNjtnmDiy8+yUc+8vNcuvQcH/7wx1havZuy0NTVnNnBFrP5FAgL\nmdY6pIRmWfAKUIo0Ten3Y3rdHtYYqnnB7sYet27cJu10WF5ZZu9gStk48AGbq51FWkljG5TUbapE\ncFpSUiCExpjA0VTKg6ugjfMO9J4gDpFeIqQCQsS3bDtGh2i5kx4lNHEUcerkGba297hx7QZahrhm\nLaD2deg0FSGnqp4jbejCnfGte1QTuNJSITBhkCosQoUQSmddgCRd+zkdOqppMIc+qm0fJa1sz9kw\nMxBS0tgwIC3Kps30SUIzYQWJVDjr26IuIEppAKljdBy1340PRU8nNMZgZp7JlQ2k2EMoSd3MUDic\nDSYr0/keUjqSNEEQszjoc/z4cXrDDqsnj7O0vIBwHeJUU1VzJpMDGlNhvMI6i20skZacOLXC0rFF\nOkmXSCs++/Fnv4IS+drjzyyqbdG8KYS4z3t/CXgX8Hz77weB/wX4AeC327v8DvCv2o72FHAP8Lkv\n99ix1fRzFQwhYoOIBI2uublzk7s6y6xv73PhDWco4ylapNhxhYoTOr0ODkNjLZ2khzY9TCkQXY+U\nDiMMrvK4ytMAylmEKxEix4kGZIkUE6QfErsOvaxLf7jMmtmnmVsiX5P3FWWsqDs9imIUTnYXU5sJ\n2WCRUo+CqS45lTIIGyMay6Tep9E9EpUTxTFOFeTDDGMs48k05EUZSVU0pEkI7ouiCN1uAa2oMDa0\n/V7UJH3wGIQC5SN8KXnmycu885veTRqlZImiakb0+ie4srHBQTFjYXmFSEbUTU0nTqhrh4kiGqtQ\neJAghQftUCL4jdbCUllPphWit4iTgURuSocpG8y0CBHZvS5lVaDLGY+/6evwGj72J09y5epLyF7G\nzrxkeHyFnfFVVKxDemcuqeY1b3jk9fy7P/5jvv9vfD+7psHgWFo9hq63ufHSK7x87TK9xZit3Q3y\nwQqnhie49MIz/Nc/8H383P/2a0iVUDQvMqkmyEjw8AOPkaSCKFI0VcUzL36B9dsb/PwHP8DN67f4\nqf/+X3D67oco13ZYWBhwsLcVFh0CXqikavXpCq01vV4P5xxFUbC93bCzMz8aLobhVMpk0rC3dyMs\ngCIJw0IvsBZAIU0NwuCMRUuJc4ZIRRwmPNx5XhkYHz4MeBRhS+18KMTWgnfzdnhWtNttegZCGAAA\nIABJREFUDSJidXWZpml49tkvYAmRzN7Y1ohE4r15jZ+Eb3FZaP02ACE9SRKTdTOyXkrT1KA0ztdk\necJsGnxcdaJCSKUweGdpqBEuFH9FoEm5SiCVwPsmdPkO8qSHc2BkEgY+LhimWGBczILhtfGARNDu\nGJwny4NXhXfB0q+wBVJGqDjD6wbLHGkTHDoU4paHnXUCwngYqbJXWEY39tC3Dnj62RtIPNIIZrMp\nSkOWxSwsLPCGN72eMyfP0O/3g0jj9lW2R9sUszlNFn3llfRVx1eKxP53hEIZAa8Af4PA/vm3Qoi/\nCVwnTPzx3r8ghPi3wAtAA/ztLzf5h9D2LywuImNFlOpWQQT9ThdjHb1hD6RHKI2zns3bm2R5RJIo\npHZH5tL7ZUOkBXiL1odbE4dqt9Ye8LLlogFVXdGJQeBQMjjzdDoddKQZj0esdDpYoGkcZVUH1x0h\nqKua6XSKFw3OOxCCKJZoqVA+TE3vvfde4lxwc+MGkQ60DK09eTdmVqgwDFEhGte324tDUQCAEBGC\nYJkmZDDxRdVoJSlGY4yt2d80TMYz0mWFEJKmddQJGUFznPdUpmG2u8vy0hIHoz102n8NPhO+Eh+6\nDSWRwpNlefjM6pJ+v0M5rnEy6Km31m9x5q4zmHnJvRfuodvJePbSS4znE9Juwj0PPsQXnnoSpxS9\nxQ5aZNi6IYkhjSL0woDJfsHjjz/G5z73Oe578EF2dra59757+Oy1W3QGXWbFlPvuv5vPP/M0508P\n6Pa65L0On/2TJ+kPO+zsjhkXFV4osjynm/VZPXmcbmfAd3zHf8nDj5znngtDTh5f4Pu+94c5d89D\n1E1wqB+NRmxtbVFV1VERjeO45SNKZrMZ0+n0SJzxaluMuq4DPOBpI8TvFCfka7Hww2RSuGNIfqe4\nhQIdHJD8ET/Z4nHtYzrnjs4FJQ9pcOrO/wJu377VvqbAwbS2LeAtg0S0sujDQ4hA3m9/aCXTOjAK\nZgVxHJMkCU4YvFd08gTbNFS1xZiGLMnI8gyhBJYKfMiBck0g3tNpQn6VTttrTlCWgm7aYXtzj9H+\nLnEUmAKidbbScRwWE+VIszhkUpmG0k1an1QT3LyyfohSaUp8Y1EabIttZ1kW4lhq+xr5t5QSK8Aa\nizEChUdLiYklabqAkB4nYWs24+Of+FQY2NlAwRv2Y+4+fzfDhQHHTxz/cmXrzzy+oqLqvf8S8HVf\n5k/f/J+4/T8C/tGf9biNtaSdHJ1EVN6gvSIWGmccOooYrHRwMhS+urZsb+/y8OvuRcjwgXssSSrZ\n29in201xvkFrT6eX0utIRqOotdtrT3wpw8njg+YX4VEqQqLJspQ8z9jc3GTp+HmUjvBOopXGmOAe\nfvmVS4HmFFuSJEJpj1JAi3tVdUW/16Gsp1x55QoLC3dTldeIVEqSa7JuSjlrcE2gfNR1c+SCfnix\niparh7c4b6maho72RNKzMx6Bd2S54sbVWzx87D7SKGdqx1Tzgn6vz3g0DsbISUIVR3S7XbYO9tCH\ndoMqfBbWmpB6IB3GepQUJFkX7yyyCtDL+miTKIopxgdkzvLog++mOxjy1Oc/z249o9MbIvIuJpJk\nuWZheYmqsoz2J6yeuouDvet4LAoByqIiw/ETi3z8E8/x8KNvoNuF+XzMsdMrNGXJ1v4m58VpuoMO\nVV1w94W7+OIXP8323j5vf8ebeeZLL3D55ZvcunUNY2uyOMXakpXlY+zvbXPq+AqPPnQf7/vr389g\n5TQ6WUbIEWUZFGSzWcsbbodNTdME+MQEs/QApTRtUbujbDukwUnuFMgjX4Y/1S8cFtLXOI+ZO3zH\nuq6RLTZ5iOU678JC2prtHNLsnDVHlC7nHMaGLKegKmopYNwp2IeiEe/dkcDk8G8cdqgEOEGpAEd4\nY9nd3SeONYsrfXScsLy0QFnMgyrRgzENReHIOjlxotu8qAaVamQaop1N01C5Bk1gJUSDiLouGC5n\nrCyf5cVnX2k/txBH1NRNGEoIS1FOSFJFt5vzxjc+xI21G4zGcx5//GFuXNtmZ3MHSYT2Cm8VBnP0\nWUdREGRYmva9SqwFK3SQgQtJY2q8DHXXC3fUzWqVBJwaiGINTUPtJc+8cA2spZpN/qwS9mWPr6lL\nlbE+6NKVQyQK3/L/FJIky5GJQSYChGJzc4fjx1bJ8jBsKcsa72AwGLC3sxukaEKTRhmzaoLDEHwS\nXCiqQgSqqYDaGIyzYSjlFVonWGtI05j5fE5VBWs/KaLDBRAhBNPplGPHjpGlaTBTcR7TOLAeSeCE\nNqahrCtqI0h1Rh5lOO8omhqVJuhYoeKAmR3ip2HyGS7w4HQVoiCEtkQJwSyktsxHIegslhmf+X8/\nTyQTFgfLJDqjKSv63S6TyYTpfEa33yPrdrBtHryzlqauj/Bc2w7EKtNgjKUxBusExoCynuMLCxS7\nuyxGkr/2V7+Nv/3f/i2uXb3CJz7xccazKS4KHqCNVzQG5nPLqXP34IRif/eAatLQSZZIskW8jBBx\nRDbImc3HvPWtb+PFFy+SJAmT6QErp1awylD5go3dDbq9lKqas3F7nXsfuIds0OHKtYuo2PHN/9kT\nmHrC5sZ1rl9/ib29TZpmhnUT3vmOJ/jN3/go3/DEt3Hq1H30e306nQ5VVeG9Z3l5mX6/f4QjSymP\nnMJezb6wbddyx+jjjgb8NR1g23kdFtDD4vnaAhd+b9ooECEE1tnXmDMfXuSv7mirqqJpDEVRMpvN\nMca2VCeBxyEkSCWOiufh+6jrmrpuqKqaoihpGhM6UuMxdXD1x0lsY4JhuvF446iKmtvrO4wPZhTT\nijztEMcxURQcwLy31HWJ9440TUjzCJ2CjA0qTUh7PaK0i5cJlhgnHFFHE/c1lSx5+zvexOpdK5Sm\nBBXs9+qmCvSs2lIWhoP9KU9+6ilGu1NOrZ6hLCuaasbjjz/M6skOTs04mG4yHe8x2t9mf3eTrdtr\nHOxtMx4fUBQzZrMJ0+mYophS1VOKcoKxNZ4G2VSIusTMZth5QTWaMJvNjnYIcRxjmgDrKJnSHfz/\nMKJaRRrpIkTc8gF94Ipprck7XVAVQkFtLOW8ZnXhBN5bkjjDTwKxXgjNdFxwcjEllil52ifKFE2r\nqBC0xrgqAOhKa0JoqUUJCzJC65gkCY5Vk/EkDJFIMNZhjMVYi9Ka6WTKhbvOU9cNeS8liXMimSFq\nfxTYF+gyknnRIEWMljFFBdaBk440zyjrEoQ7Iv0fXpTWWogUKgpQxT33X+DY8QVKCop5zXxisXV4\nnrXrGxTzBhsVJHHKdFrQ6/VYG40YTSegJMbeiVl2xiFR1HXgFx4+X2BG6IAZCoEXmjju0FGWH/1v\nfohB0ufStVv8jz/zD1k5eYbu4hKLx1cpvW0doUA5haktSd5nMFikGB+wtbHJuQtn2Jts4QWoWOGi\nQHNLkpjJeIzWkiyLEAou3HeBW9eucWtzjaWlJda2d/nEJz/Bt3/7t3Dm/ENMJ3M++clP8/wLT/OB\nf/CTfPCD/ztXXr7IseVjfPaz1/mRH/uveOrzf8Jw6SzjZofh0LC7dRMhPSsrK+zv7wZJZFvMqqpq\nI1tavifuNcXz1cdRrtjh9v1wZyHAvsps/NUS48OCfNhVHhVUa9vUB3/nsaV6DeMD2sJs/dEwyLvQ\nTavoDpUpLAbqDmTQFmVrPNaagKW6EK7XmHCeGWkD7KUC+IMMtDGkQBMz3p9xW29x6vQpvJ2gNVhv\n8cLR2JrZtMB1cvJeHvxJkTRNEeYLumUEGAM2BgReC5JBh2m9z8qpIYvHF3j+uZcwjSUhRohgbo1X\n4DSxURTW8fJsnSjV9DNNniiWlnOOnxoymRRsXZ0cZYCFz1vQNOIIBlNK4V1NHHWYFzPqsqTf7XDs\n3Emm0xnbW7vt+S4Z2D4YQ60UURQhbHsd6KOv6Ks+vrYuVd4hUxsmzyikUHRcn8RoXFRRJSWR6lFO\nIBZ9VJzj4oa60Uz3alZXO+zs3USpGJwHDE7X5DIBLfCNQjaO0pVYJ1BCY+sG4RWFKRBpjqRB+BRU\nRNxXFHubKFuiqh6iAnyMkRW57VGPIqzKUHmfXCb0fQqlIwJS3UWLPlGUs1/uUM1mZHmOcRbpPInz\n1CZBCEHWSyjlHF8X4aSqFVqm4EFqiYjh5LlVlk5lWEb004iX1w5wdIGQVtA0np2NPRbv7iLyiHpv\nFyk7SOUp5xOG/Q5WCQ7KfVY6KSNrsC4JaavCgxYYKYidRjkBrkZLyJTk5OAUC52M22u3+NU/+BC7\nxZTFk3czF5JbLz3Pu1fO0piKRnqsaPBChWiNmeWu48d4bvM6B7ZiPF2k2xlye2dMN9YI7egvDZju\nT7j/wl2s3bjGYPk41bjm/ocf5NbtDW7tHDAcnmFvdJUFJejpJXwzY2Epo7sQ89Bj9/Hh3/q/+N7v\nfD+/9Tsf4Q//4EP8k3/yM4y3t7n2ygbdxdP0p3OSMydZXOiwefMGu5MRaadLUVUkEkSSYlSBdVXQ\n0xMhlDzalQR/zjsdqFaHijfbmqN4vBd468JWT4qjbocWKsCBtx4VaRyHKbothcnZlgur2oFXkGAK\nYcFZfBMw0sM0D+89xnlawXFrRRmYC06EYumCMgCPRNGETCkn8D4KQx/RlueWVSJMa+QjBFZCksR0\n0gShUoqpIZI50+ke8WKGSkNsu2gkzpXUpUMaQzZMEZEhT3vUpkQmHkSEJqEqZLDQM55YSmQWhnZe\nWd709Y/y8uWbbF7fJRWaCI3HUHtAB5zVGU9dhtypT33mOQaDLidWl+jkQx54ZJGymnDp5ZcpipRi\n5pHCIZwO5te+xFaeUniSJCLWOXEa8+KLz/Hw6x7km979bYgoLO7b+5tcuXyVzY19tsYFhZHkcc7x\nwQqy/vNt5L+2GVVNRZ5LHAXGgbJdVGKIEoWIHTrKwGu2N25z7NgxdBwURrPJmDxLieOM9fVbJLGi\naUpqEaG1CHgZBiXDMKLfG7aO4y0E4CyNDbHIhxSSKNKoLCYf9JBJRNE01EZijcM5y/rWerhYtEcL\nibGOyhl6WQdZNMxGU7I0SOPmkzmiCRlLJ5ZOkMaL5FmPLO0yn87IkpTpwYi9yZi19U329+ZUVRmY\neZHj7gfO0ltMaKjJYsXVS7cYj2YI1wm3MRYpNc8//zzveehdFG5MnofQwn6/z3g8ZmFhASEEZWU4\nubzE1vYWOsnxQuIa0FIET08fojQkjvHBiIVhn43RAV949mmWBgMq4ej1e8wnU/KsRydLuX79KoPT\np2icwTmQKMDhrIVEc+LUafb3R4zHU9LOElrH1FVDkkeAIcsyIp2zsbVPf2hxMuQ33XXXXaxJSVWX\n1K7BJILPv/Q8jz3xNrZuXefue+/m5UvXeesTX8dossux1RP0h4oHHjzLL/3ih1k+dh8NE7K0S7fT\np9cbkOkI1m6wP9qjTEoqOyPWGilt270pPArbDg2PsNBXYaKH0EwopqFDP3y/Ao8UKuyAWtLpYYE9\n7Du9D1CPc4fBhneKoHUh8VYfbeMraLHbV3euhzzaQ2jh8DXFWcKdJwItdTBbkZq6MhjTIGUQEbwG\n73Xu6D1GOqLb66J06Fqdh26nSzktKGvLYCVD5jFJ4kFofOOCvHdS0x1kqDiEZhpb47wKlK++xFYS\nW9tgji4McaaJZISzDefuP8O958/whc99CVMZkMlhjgqNCztDCZSNQUhP0dRsbG9hXcOx3oCz50/x\nznMnWV/f5pUraxyMp9iqwXmJc4JYJ4CkKgOMU8xrOipnvDnhQ7/2W3hh+eZ3v5Mz963Q6yb4xx1R\nFmFFRDmr2F7f5vqVtT9XXfvamlQTsqKsrdGJIlcRwtdYCS72GKeYzQw0kk6e0agJOCjLduDgNBvr\n+yzmQ6QKKoqg3Y4xwrfUlDCMMiGcp1WQeKxrWi6owwsXcqekpzPsI7SimFdIkWOtI4u7XL25Tpqm\neO0RxiHTCC0jymlN1wb+YD9PqMuS/f0xsU7xzjGfjfjsp14ijjSNtMRRHAYVHqq5pSoNg+GQY6dO\nYikYnOkiU4+OHd18yOUXLrFx5QDtU+rG4j2kMkYqwUsvXuIv23eRJTkmL9nf36ff77O1tcN8PieJ\nY5AaKWOq6RzyPkoK0kShrcc1NUJ78rzH3u4O3f6AOM0QaQe/n6MXepBqevmAG69s0c+76DzmqWf+\nhPeeOc2sLHHE1HiSOBjMTIuGpZWTHIymbG3vkvV6ZNmA0WwToUUoaJGnmpcsDRcQxhGnEdt7O5w+\ncxc3bq4xr0pkDMkg4+b+NienBzQaHn7s9bxy7Sqzcpdsoc+bv/6NfMt//hZ+7p//HP/hE5d5//c9\ngjGG1dXVoyFNHCmKOiyw3nj2rA/6cntoUBy4otbcYWIcFrPDCf+r8U7b5kAZY/DOoVUoopEK3gjW\nNUF+7CCEcQb8M3Auw+Vm3SG13SN16FYVIaY5TObD84lXPe8dRkFgbQgRPIGbujl6jbqN7PHtkE1H\nEqUlxljwYXt7+J58q+pL84woiUPH6nwQo7jgot9NO9QV7K1PUT3FwvEhUZqAtNhI4F1FMZ1hMk/W\nTUjTHOclxoGgJtIaFyvKsgbhcd4iXJDVajxeVLzlG9/A+toOVy7eCEqyJixQwoC3BhsrlFQUdUNl\nS+JEsb2zx954h4XFHmfOnuUd3/w2bm1s8sJzF6lKE1IH5lVrgB2uf+cc0ln2N3dRkebYiVWefvJ5\n/vW/vs5jbznPN7zr7eAMs+o2SklOXuizev5hnvrtV77qqvY1HVR5L3BWgo8RpPTSAVookjxBZRlJ\nNmBzY49BZ5FYK2RkkAjK+QycpZo3CJsgRByswZwmTYPe+tAdyhpPkiTMZiWOsFp7PI2tcd4cdR9a\nSTp5Sr+bo5HQWJQTmKpBWsnGzQ2yPEcmEOsQ7SAbyCpJZDWuahCtYUk5rzDeoBM4eXaZ4UqEjCQ6\nzkHFGKFppEbECbqbsV+N2a22WTq7QJamJDpiabjMc5+/zNa1Ocp28ObQl1Og4wRnHfPpjIODNhGg\nxdiiKDrC/LzzCBkxn9fkUUIaKYQzVPMxypUcX+gQpx0mRUXWX6AWit1ZhZcRvaUlSmcZDPpMixn9\npQW2trdQqaaShtH+HpFUeO8wpiZOYqR3lI2lssHkReuYsjRUjUOq9MhpHQ8KQR4nzEZjwFFUBVGa\n0O32QQvSXkbRlFx86WLQv8cxl66+TNKNOXPPKhO3zwOvP8n21h6LvdP0hgv80q/8IptbN9neucXt\nzXUmkxH94RKLC8ssDZbo9YYMl5ZJ85woSbDOUZuGeVkcDacOJ/5wZ3v+6hicw1TUgIXe6SiFOGRv\neJwLblJC+vCvDXwIEc++VfBIkIGJQFvg/lOY7mFBPcRQpdSESzfExXgbSP22ce2uQbZyWo3WkjiO\nXiU4aR9LQNbJjwpqYwyWUFjjKGE2npHHKc44lE0ody2bV3apduekKibNE5JuBm2WVVXWNE3wUM3S\nYL+JcKgE8n5MonKwAm98EBR40GlMJS3Ldx3nHe/+enoLCSoK12xThcGqLQ2+tmAcwghcZakbsCZh\nPPI8++wrfPbTT5OlEe95zzt5+9se5eRqn6WVDjpyxInAugqtJSJVyDyhkZ4btzcYVyUPXDjPeLPm\nF/7xb/C7v/rvSWcDhuIEZtpKV/8cx9e0qCZJhvdtUfUZ2kcMBgMGw0Uc/H/UvVeMbdl53/lbaceT\nqm7unNjN0My0KJISJI6oQAVKJmVZHsMjyYA8AQNrhAmwARvwk58NP/hpHkYYwTAgWR5rJBuSRXlM\nSmYziKTYze6+3X375nsrh5N2WGke1jl16142R2BjBsRs4OBWnaqzT1Xdvf/rW9/3DyyWLQf7x5w/\ndzFdUCptX9qmoaoqus4RXaJGOJtid+WKRC1WJhnrqV5v+zStX0ngnLerZv49bmCZZ1RFjvCBOiux\n85SE6TrL/s5+4jUajRQi6fZt4FwxwjYtIkaC90hgenyMzCAohy4kG2fH5HWO6kD2ILsIXSQIiSPy\n2NNP8dg7nkCUgiIrKbOKL33xy0x3lkhXIMlO4nwhqVykkEwmm+xs7WBXw6e+70++p+/7BLDWc3Rw\nzGgwolumYLdHLp1nNCiYH+8zX7R0LtD0HhcV6ILFYok2OYdHR1y6eIHeefKqYtYs6H2PrjJef/XV\nRCtb3aTT6RFVVVFWNR7FxQuXIAq2tnYIIVFdrE03dmTFQLAOQqTpE7l9uVxw9vwFAoFiUBK8553P\nPUc7m4NWlIOaepBzON3lHe96kqeeucDnP/9Fnn7qeT728U/wxFMP8Yf/7ve5evUKo9GAvf0drrz5\nJsZkPHTpYc6cOct4ssm5c+dWzktqNbyK91kt3qtK/X0PKVOraD2tl+IeqMpT8Runt+7rryWmxwpg\nV0AqZALWtdvYd4vvuAeq9wZipwdbp6lY62HNyXsJMJkiy7KTRUIIQVmWDIdD8jw/qaAjSYjQdknu\nWw9q+r7FWxDWYKeerau3uf7mVWzokbkmqysAnPMrQ5WWIq/ITEGxSmtF9WwMNyhNRa5zVJREm0zT\nhU7uUhbLj//UJ3niyccJq981eFIEe+cIncV3HSqkFOYQNG2n8DbD+4yXX3qJ/+tP/4jol/zET/wI\nP/apH2GyUSNVoK4LhPQ4E7HKE3ONHhQsQ89suk30HR989zu5MDzHb/+Lf8s//6f/kq2rR4zLM28L\n176/aaohYKIj85LKRzYHQ3QZUcUAKQSzncCwHhDyOb2bIXtN5zq0iJwZVly/skepxlRaISyYrMLk\nQxQaoxyClhBgXF/gznJGlY1RckWF8p4Qj2jDDCsDtm/IigTO6BLbCWSe4cKcO9d2qYZDNjbHnFdn\nMFJT9pqiGSF1QU3F3AbUWOPKBdOmoYsKK3ucnkG5pNzIkDJjetzS96mKyQaR97/raUwe0CZS5wNe\n+cZ1tm7tkpuSYlTjMk+YO1zjUWhk9Jgi9c7qQeTmjdd47OlP0EuFqSoWTc9oOObw4Ji8rPDSc7fd\n4YnJmJFxPPz4k/SdZ/tgjs40MROpz0XAaJkWGXKiFbg+MhzVWNGRqxkbZ0v2d4+oi4xrV17hQz/w\nAaR1KKmQKmO/mWFQuK5BDpLBhSEQ+pRuaWNiGGZS0i06NqpL7O9sM6xLvHIs2gXjyZC93YzJ2Q0u\n330VdxvOP/4oDw+fpvFzzj76JNdeuswHn3o/L776CsOna9r8mOF5zbn9CULAf/wP/55vvPACv/hL\nv8zWnascRsnB8SFlPaQoa/CBC2cfYXa0RMQOEW1yoG+7FRMA7Ck10onhTUgS394mR3ih1hLj5Fkq\nxIqTS+KeyhWIBZGC6pJN5AroJECiTyghEMrQ9y5p8l0i8Ke2pySE08B9D+DTe98D8DXP1trE30wA\nmmztpPGgwFmP1hnj4YgsyxOdzqZ7IvTJWlMqxf7+Lo8/9n6uXb6GV+nnEk7TLiXHV+dM9zqeePZR\nzl88S185ejcn0tH3M/YPW+rBgEJpcl1hhcO2M7KBxLuCtrXJN9WBxqK1QGaCg+UOTz7/CI89e4Gv\n/uevMj+y6KCIzmC7DJNBFyzCaESfYrGFkEkma4YoPeHVN3Z48ZXbvPPZR/nlX/kcb165yVe/8k2a\npqdLfQlAERDkRqGDxYXA7t4eSil+5BOf4PD4gC/84Zf4g9/9s7eFa9/f7X8IiAhGSnJt2NndxktL\n1B2IlsODPcajCoRDysQHtUtHmY2IPuf1195M9mpI2oVjPDzHoJqs/EElmcwIfUgGx64nRoHSOdam\nrd5ieUSIHmcD1kJuDFIq7LJH2sAgN2Qusnd3mzovuDDZZJxXTFxB1Ug46DBOE31gMZ/SNjNwLXbZ\nIKRK3plaI7VGaDC1YXi2YHBW8vDTGzz97kvoEgblhLtXp/zJv/kyd948QHQZoY3YeYMOgc0zNVpH\nhEw3LqJnMCpQWrK/t0+7tAgKymKEtZ7BYMLh4ZTF8gihejY2a4bDkqoc8tqVG7x5Z4ugM7yUqQUT\nklxQihQXvFwuiTEwHNZ476mKkraxlNWQ/YMpWhS00nN77y55VRClwAZLFB4vPbrMOG7nbF44R5Sa\nxaJDyQIjS3qvsCGic0NRZQw3K65euY7C0CwtxlQMBkOUFow3x0glefmlFxHSkekafMF4UrO9+22+\n8q2vUG4WNHKG2nQ88a6LvOd9T/PhjzxP8JZ//bv/mv54zv6dLYxQLGZzbt28yXKxQCAo8jyppIQ8\nAarTUTbr/uOairXmm8K6Ory3PRTwXSvN9TnXNKu1ZwPcU2Ctt/9rscF9ogO51taHk9f8P70PJHB1\nK7BMSqaVo1SeU5Y5WVYgpcboAq0ynE0hhcvlksViwdHRMXlu8Csql3OWvu+S76kw4Ax3rx1w/bVd\n6FKKxqAYUGYFOJjPZiz7Dp0ZsiyjrAuklkQRKMocZXTq6wZwIXmkBhRNWOBNx6d/8Sf4yI++D68d\nVnYEZemjwzqxWjgsbdtiraXve5zV2E6i5YC63GRrb85v/6vf5fVrV/gvPv3D/NCPfZhLT2yQDyQm\nixgBwgbwAiUzojJEk/HGjWtMlw2f+dnP8KM/+KG3hWvfV1D1KyWSjAKsZzCoqcc5ptIslh1dZ9kc\nTwi2w3YW20Z8Jxnkm8yPLWU1ou17jMpRoqTONsFnCAYYOSATGdE7OrtMUlCZEZzEWU/XNfR9j/ee\nruvwziOJGKnxNpLlOVE4SpNx984dquEALSU6QLN7RLNzxCNnH0JIg8wzVCapRxkIz3K5QEiN9SvD\nFBlBBKKy6NLx2NMXOHtxwuZkzM6tbb7wp1/mxus7SD9AYRCoRMr2Hilge3sbkykGgwE+OEwRKYeG\nPNc0i5blrMe71Atr2gYhIvP5Mb1dkOWCcxfOcOf2Ljfe3ML3GkfGsg/0Lm2xYlxXZOtHMgo2RhGC\n5czGBGtbVJ6h8xwZFfV4yKuvvIyOESlSwFtYDVratqOsRghlEFKzmLWIaMBplk3dnNNOAAAgAElE\nQVTAR40pCo6Wh9STnMO9fQQwW8zxMVDkOd45Ljx0kUW35Ob1qxwfzsiznNFwyCc+/lHu3r3B5rkz\nbO/fYbCZMbmUU58LXHpmwDPPP0I1MfR+wauXLxNIUdGT8ZjzZ86SZRl1VTOZTJIa51Sv8bRZNXDS\np05b//uBcA2Cqe96fxTOGhTXgLzmlp4Mq/w9QH4QLO+dM56SL9/b9q8Bev3+p4E4fV0QAkkE0Fqc\ndQQfISa5qnVJbt11LSF6WLlmnebwWttTFOUKTFt622Fth4iSTGVUukJbw+zulJe//goHdw4pdU2m\ncsqiQknFfLlg7/AgOfnLSFZk5FUBSlCPasabA7JC40KigIUYCdpjRcud/VtcevI8n/07P0d1xkBh\n8fQE5MnitgbXEALORog6xbFHhXWGwegMLsKfv/DnXLt1hXc//zQf/cEPcO7CmDNna5TuyYsciOgs\nqehEFrHR8pWvvcB0On1buPZ9BdW1njpXmnMbm9RVjjCKzsF86hkPzjAcbNC3Dt+D6yR1PiCTNYcH\nC/K8Isuy5HYTMzJdo2WBUhvkckQhS4wSlLXEe0ty/VmRsaPH9uBdWF1QLX3TkmUFNsAiWK7sXmf/\n8JBl11FvjPECnHdUZUaeKXYOtjjojrEaOhnoRc+in7NoG7K8xHmX4jhyQyBSF4pHHzrPZFBxsH3A\nlz7/dQ7uzBAuKTiiFETtiMoRpMcRkMbQNI75rEmLzMY5skphCjC5wlrP9GhGxIFIXpnL5ph3vfsZ\nBsMcKQNvXrnOrRtHDPQmdhEgGIJfRUYgSFn0gq7rkVIhlUBKEFLgvOPihTNI6ensgslkSNcuGQwr\n7t66RXN0zMDkROfIMYheUecTNkfniVEzGm8QkSxnHcFKEDk2gMw0qEBeKc6dmbBYTBEyMF8eUw9K\nMmMYjoec2dygmS8Z1xsUOTh/wGI65X/7X/8t23d2ybOMvf1tzp4bcebRmq3mKk88f4Gf/OufZHJh\nwEw4buxtE5Rga2uLsxubtIsl23fuspzNmQxHJ8q2k2vyQRL+KfA6XcmeHmKd/v7TE/vT37cG4tTv\n/M6e6Gm2wen3fKvjnkfBvUr6/t9hPdAC59KAc71YCBHp7ZzF8oimOcb5BmPu9YqFlDgXV9Nzh/fJ\nU8IYRaYKyqxEhohMlvrYmeP1b7/OX7zwF7SLllxnFHlOvmIWdMtUwEiVkgNG4yFFkZPlUNaask52\nhRGH8BGtDVLB3sEO+4tb/MIvf4pP/tRHsbHDhjQ36LoO59xJQGPbtmmRWP3ddMwR3hB7yGQBVnHt\n9Te4deNNPvyR9/K+j7yTc4+OyMYGU0uEsIjY4WILqkcUYOXbc/7/voKqihUxZEyGI4ZKEIuAyA0h\nGqZ7nvOXHuJwPqWLjulRqg77sEQoQS7PU6rzFFoTKZiMzkLIUHJEkEn76ymI0aAk2CBoeoEQAzIz\noFn2dAFc36F6j+wVOUOEjSjjaXyHqUa8duMqos6RdYGsc3oTWAw1flyQnQtQzZBZROhkNixijm0C\nRVbROYvHUuY5zz3xDjbq87z+0g2+9dXX2LtziMLgLGglQFikiqgoUSt/zSzLCa1H6Rx8hmsDB0d7\nDDZH6KogiIwoS/YOZ3RNslMbTxQmW6LVgquv32b/zhIlhrRSU5iczAl0F9FeIaJa9evUapVXxGDo\ng2fRd8i8QA0GOCMg0yhhMCajdctkshwCW7evkXczxv0CWsFIl+RCs7uzQzCGbFCR5YbDg0PaTqFd\nqpxaIuSS1k7ZOF9wPD/AoGkOGySa0WRI10y5cG6TrCi5cXUX3wUKKdje2eJ4ZvnyF17m7pu7mCh4\n/fWXOf/QWT74sef55psv8PQHz/K3fv0ned9Hn8TJluN5y7JdcHvndR598qGVUXEHKgkuslwiRFIi\nhRAQCqQWRJEod8j7gTMFAALKryb8fmXhJ+8bJCVgXAkKFCsvvVXW1DrhQaQWkrdupcpbWfAlcwGi\nD0QfEl3qFMifAMhKtXVyX4nEQ06vAxEEg7KmKksyo4nRE1XA0dO4OY2b4sQSJT15JpNVZmboQ0AP\ncoKIaYCrJNWoBC0IUrC0ji5EPElk0MwEL331GndeO6YII3SsCdIQCkFnO2btAq89ZqQIVcRUhqgj\nujBU4wHCJFWY60D4glzX9L3gxu07ZGP4td/8BcZPWbq+wfY9ha6IvcMu5wTrcX1D3x3TNy1tsyT4\ngNIlIWbYYIg+R8YhX/rzb/Ktb73CBz70fj74155kcjZw5pwmN4FISRAGmee0b1NR9X0FVYlCRoVW\nGVEqdJ1jsozZ4YzYO1xvCX1gfjhFxkhdZ+niXF2wy8UiEaB1lXpECkLoSS49AoHB+5gYBgJmsxne\nB7Qs2Jicp+vbZBSNQCvNspkzGA5om5520UAQ3LmxR5nV5LmhcUuCCbR9i8w103YBmUJqzfFshlCK\ntmtWAwdDWdQUxYAQJH/2xa9z+dU3VtsTmZx+ThtePHAYYzDG0Pc9uDW/O1JUORjQhUYZhbdLfLdk\nvtjH9kvaZUcMhp3dY+azjmQmFhmNKw4ODwjeIWLEO7diP9zTrMNqKBPiCXtCSklmDBfOneP4eEoI\ngeFwmChRg5rbd+7QNA15ljOfH+NFZOEaWtfSty19axnXI5r5kugavHV0XZsKZJGkylon0FVqJS+O\ngrwYUFZDUILx2QH723fRwHg45HD/kLNn06DllZdf4/rVW0hheOPyGwgX+eGPf5yvvvAlFtNj3veu\nZ/mBD74XEVKL52hvxs1bt6jqkslkgpSSzc1Nuq67z1VqDVqnJ+b3TG/ubcVPf77++z3ILT1trrJu\nFZyuYtevf9Dh6nRFDOkaOO1otj6+W7W8bgkURXFyztNtDFZnXQ/D1iYykEQA02nqqyZHr5yiKE8q\n6rWfgrXJL3Xd/vDWc/nVN/izz7+AcYYzxYRKZqgspR60zZLD7X1k7xECyjLHZAKEWy1sq/ZGSC0Z\nJc1qwNuwvbXP5z77N/jJz/0w3ji8aOj6lhhTJLZtLd3S0Tepim2bZKSz7lc7IRhvTHj66aeZDIZ8\n7T9/lSuvvMkPf/QTvPc97+bihU0unZswKDKk96jw9uDx+1ypSuq8YlANyesBepgjpWK6P+Wh8xfB\neaZ7RxzePWBSD1E60jcdwTps261MISJVMaYajGmtRQkwOkeKHKOHKFFDTK5Ey+UyUT2yCZPhI+S6\nYDFv8T6SG4M2hq7rIHiCiylldBaoyyFCg6Onix35sCaUBjmumPqOhW1RRUbjLIezJUGmOJPeOrIs\n0cZMthoKeQFREePKo/NUhQH33xBSSpqmWWm6I1EETKGRhaKjx4sOa+fgF+wfXGN35zYxKA4Olkg5\nZDG3QIrLqCrN1s5tyiIn9B3RJXd4fCBYl4A0xOS4FcB3FqIgz0u6tqM0OW5lgdd7h5aawXDI1u4u\n+weHFCajLDSHsz1m7TF5lXirwgY2JmcxWtPPZ+lvnVd01hOkRGUFtk8KsdQjSzQ2rQqqekSUkUee\nusj2nTcRviU3hu27e0hyRBQ0M8ur377K9GABXrJ9ewfX9TTzY+bHewyywHvf8xhPP3mWYZWTm5qD\ng12Oj4/Ic8Njjz/Ccrm4Rys6BWSno25OT9hPV4kASt3/3OlznN7in0zqT3193Rs9/YB7W/rT030f\n7vlFPHi9nD7W540xbeEBmuVyZRe4Au+YHgRSfLmPBMKpyhyOp8dUVYFSKoFqXp8swtbaE7BaWRal\nFAovkUHT7Xv+0//553zri99iHCfkukAEiYmGQhma4xm278iMpiwy6ipDyZBaDNnKUDs6vAeBosgH\ntE3gxvVtNh6v+W/+579NeUbS+h7rPSJ4oo2EDkIfmM0WyVCm9/Sdo21SXtz+0RGz6TEXzpzjsYuP\nszk8z1de+CYv/uWLfOBD7+EdTz+MFj3t8RGZf2ve8F91fH95qlIwqhKXTWQCbQSL6YLldImQir45\nop0e8qMf/SHOTc4hhGYyGjGbzRjUNZPRGInE2Y6iKnEhkmdVCv1ymkyPgBzvU2pj27ZonVMWm5T5\nBc6MnqSZRkpToVUisuuVmipXOd/86jfwUjLcGFNUGcposqzECU+rI00WEbUBI3n4icfIBzWN8yw6\nS+fapNQqFSoXCBWQUiBkIEVScOqmVMD9/MPT20cjU7UJgfHmkKrOEHisb9ClgsxTZZLHHnuUup4g\ndUXvImVZslgsVsOWjN52aK0IbY+KgUgKGxSQKnYhEIAROkVvt33yVfCRcxub5CtFjtaaaCNESRSK\n/f1DZkczNsoc7zpidNy+fRVBx+TsmJ3DA85ffASlMxL/XeCCJyBpbJJRxphu4rouOTw+II3KBKoo\n2LhwhrY/ovdzbt69STma8MQ73kl0EaNqugV8/WsvsbtzSGcdN27d4Nl3PYsuBFkROHcx59FnBhRj\nh9ctdVWyXM5ZLGZUVUFR5idT9tMDqNMDo9N9z9MglnqU96r6B8H59AJ5UtGung8hnnBl18Y66ypy\nbfRyGpRP82LXYH+6t/qgEux0Yu+DC4NEIqJIrC4XEFGkgVFMoX9SSYSCvMgoywKlDd6HEzBdg6uU\nEmEkUUpynSOCINi0fS9czeGNJZ//gy+xc2XJgHNkooYgqKuSYCPz4zlGKjKlqcsCk2ny3FAUGTEG\nuj4N01JVWxIjbO0dcHvvDr/8d3+Jv/GrP4ccBaRORYLzjs62QEpeaJo0i+j7NJdplg1N27B3cEiI\nEiFyRuNLDEYP8fUXL3P12jU++tGP8tM/85Pk5v+HlWoMLUUGUnnKOkNJONo/QCDpgmP77ptsjocs\nj+b4FpaLnuFwmKb13nPp4kXatsUYSZTQ9YGuWV/kBiEytCwIHuq6TtlEMTnaaDlkXD/GsLqIEjnD\nwQCTGfyqR+V6x50bd6kmA1Sh0FoxLEdkscDiWPqWFksbLcu+wQZPa3sCgtZ5lAGkRRcSqUPahQtH\njI4QLZGUB3SPNnNv2nv6xkluRQEZ05asrAtE8ORasLk55t3vfZZio+Dw8AhvA9oUmCwjisDZsxMW\ni9nKlQvqwYi7t28nSaV3sCKdnw4etNaCSz08KdONnWuDCJHJaIxYRWYEH0FI8rLk7t0too+cHdbU\nmUYJjwye4+Md9o62IDPIvGLZeERc3fRR0jtHlIKqGiCl5OAgOUl1/ZKy1FSDAcJk2AjnHz7L0i7Z\nPtzDDGo+8NGPsb93gHegREnbOF566RX2jg5pnSWowFPPPcm0mXK03Oa9H3mKMw+XmKHHZBllmRMJ\nXLt27SRC5cEB1YOP9fNvBa6nXyelvK9tcPp1D55//fFpt7LT7QK4t21fP/NgO2J9nJbTPrhArH1f\nhVhXwRFr3cpSMJxs/yFZCmot0VqlsEK9knb7cKI8WwMr3JPFJjaPwrskgxXBgC1YzhTf+uJrfOHf\nf5X9O0coldFFS5mPGQ42OTyY0feWuh4yGg0py5IsM2SZoa4NQji6vsG5NDjScsJsYfn2Gy+hJvBr\nv/ErPPzkBXSp8DJg6Wmahr5PkTF9n+hX3bzDNR3LZsF0ueSo6Vi0FusNpjxDVp1F5xUvvvIKPnp+\n5jM/9T0i2ur/4W296v+loy4Nk/EQnWvIBdaU3Li1S9ssOTq+zoff9xiPP3KJw2lgcuYRpAosekvs\nKzIKNjfHyR3fVJBrOtWDFihyMlWSqQKjDd71VFUOi4CNPV5FCrHB2fppzo+eZHHgMCh0lAjvicHj\no6B1GpVrhNF4bZh3PV2IdL0luiVGOprW0jQFZJImzDk8OmJSlwgdCKJHaZ/09iZDkCX6kpQEka+y\niECqiFQOqWxyExLpxnG9QwQBwhNURFWKvBDkVcZwMIEmcuXb17l+eRvnJa2LoCLlQBNkR1GNmC5b\negLRKOJGwbHqCIVM3NY2Q1iFDIbgSH1UqeiRRGEgagiacnCRxgvOXRhh/TFCWzrt6EkL2PGs5WDW\ncO36TbIYEM5STUb0mMQXVp6iFNQbGzDzlKEgixoVBTqk6O4yVhzemSKNZt4uVukIknNnRijhGV8c\nU2nB4W5DuXGBbARNF4hWEzpFpmu6eeDqt29ysDel8Z5vXXmdh565hBqUOBH55E/+Nd7zoTMcxZtQ\nec4/9DB7B3N29w8T19EluzylFMnZN7FTRGTlWhUTK0LE9EBgZAmsNPkiI0SxisKJCCVA3qtC14dU\nmiAESoEkEn1ECENYpajeA9Vw8ojRQ/zOnu/pn3M90DotZU04LlbWfQ0+WFzkxGfVOU/f2wRAnQCX\nmt1BCIq64Hh+SOvmuLAgunkyYonJTCZ4BzGg/KqIURkyKnKZo6QkKonzkPmMUTyL35O8/MU3eONL\n1xktNzExp18sGQ0qlNTMZw3OR0QmqeuM2gSKXJMZidYppjsIEKEn15rgYe9gjxt33uRTf/1j/Pjn\nPoYZezITkSFxBNu2pe07rPf4rsG2Dt8pvBX0bc/cTpmHGY1vMari4UtP8O53foiXXrnGH3/hC28L\n176/2/+sRkrNbLbA5AXN0TF3bl5jMd3j0tkRe/uWb3zzDR5+5EmOZ3O0yeiaOcNhyWBYkJcalQuc\ntygFSnim831CSAmjApViHCKYQnI4PeTwaB+pJUVpGA42mQwfIVPnce0YGWpKs4GSNVev3UZnBaMi\npy4yjAJhBH3sMUqT6WwlxSs5mh6n7ZC37B3s4z1obVBaU1UVSin63jE7bAleI6KCmCqEGBN/MA3U\nUtyu0GqV2OqTybaWBOUYbmQ8+Y5L+BCYz+fMZgsODo5W1W6kWzaIKDA6w7bJxWjtGxqCJ88ysjzD\nB09n25TwGiShcwgLwqf8dCklQkk62zObzwlYhHRsbm7Q9xaCBpnAAylo2pam6xDC4GxAofBdYDSa\nkGUZi+WSo6MpQkhUOWDeOVov6IOiR5GXBRujMc28oZ23KKHouo7lMvW7i6JgUFcUeco7OrN5jmE1\nSK2ftiV0ltBGTMiY77e8cfk6N2/fYbAx4NrWbc48dI4WhygzPvyJH+CTP/Ux3rh5BW0C3WKK8Ke1\n/vcPm9bH6ZbAPVPpe18/DXYP9jmlECcmOsF5CPe3f05Xsad5rW91PDiEOn2sEwPWP8v6XH4lXDj9\nO5yutk/ECSHdM0oYjMjQIg16rXV0fUdvO5zrVxVjsjEUglVLyxOjBRFWn9+rpoVI14qSyZ/j5rVt\n/ujf/Sde/crrDPUZJoNzKFNgQxIZEMNKry/IsvxkaKu1XO3uWLEeDFplLBctL15+nXJjwN/7+3+X\nD3ziecgcppCUmYHWE+cBa5MhtrWepulYLJZ0TcB3HoKjKhUHywNu7NzA1Jp6Y/C2cO37XKnW5HlO\nPaqJMnC8f8jR4QFPPvEIw6LglVd2eMezH2Lz3AUO58dEBcvZgr3dXQaDGqEjg1FFoMfoiNGBRZtS\nEoP3EJPhshCKrJTc3bpDPRgxX07ZObjD8fExZzYf5bGHP8hk8AyZHDE78uRmws2bd8kKjVIBrUFr\nkMKRGZGqWS+wbarU8rJAaoHzPUdHxzgv0ConBFbaaonSArxiftzjujQcEKtH2man6iIpTSCKgDQS\nj2cZOt75waf4kR//KLsHt9Pq2yYvgzzP6HuHFob5dIGRBiNTkKB1HcPBmBgkTbMk14KyyDiYHlDW\nBcFZ8BEtdYoktoEYVh6b3qcecpEjtMDkKcdoY7wJHqTRKbpYSobjEbt7eyn3qO8YVCUygusD86bF\nZDkBgdSGajgmJL4SUhu8SNvMGOHCuYvMjxeIkJIdjM4RIi0YeSbZ3z8k1xV3b+2gpOSZZy9xdLiH\n6xyuibgGcj2imQdu3dpje28PJyNXbl1HFIpZv2DWL3j3B5/mf/xHv87W9DpZKdHq3gT/rfiob7XN\nv7f1jid90gf7lmvQUkKuxKtAjKhTE/i3mvJ/V3B+C3bA6Z953c9dV7YhOJQSqaKEk3YApKGXkDL5\nrpL8CLTWGJNTFUMGxZBc1uAFwaVKPIpEP9OZTr6/KnnzCgJi5ZLS980KbAVqdU6lFHmhk5FMVOhY\nEhrFrZe3+L3f+kNe/cZNpC3YnJxHk/Kp3Fp1V6RBWWpDpFTk9YKQZLyKLKvQxYDbezu8+MZLvP/j\n7+VX/+u/hcgt0niqPEM4h7We5TLdO84GbO9TsOWi59nHn2B/b4uD2R6zZgpGgHl7Kv7vK6iORhVS\neoaTkiB7Lr/2Kk899xTnH36Uu3emlOV5Lj38BLsHu/RuQVCWZt4zHGyQFyXaZEzObNDZBhF7MhOw\nfgbCrYLOVJKgRUGIlt72dK4j4kF6ejtlMV9Q5CNcb4hOYtvIctFzdHzEYJKhakVeaXIDGZEseCqT\no6MhrFzCQwRPoHUNu/u7KJWksN6tIlNEYDDMCcEjvKJbRrxNktBUCdgUIyPNvQs807T9kjPnRnz6\ns5/g/GNDrty8jBPJa1KQKiXbJ5mtANqmpe8tkrTCLxYziqLm4OAIpRR1XaVtq5ZoY1gu5tgY6UNI\nQWlSEKQkEHHrSidGIgqTlUilKHID0SKVAikwWaLcbO9s46Ol62d07THZKnurt56ud8SYHJCqskh5\nTMHj+p7gbAqXK0vObZ5j584uucmZTudYa2maFiU1o2HF9OCIc5sXefLxp/A28l/+6i8hCsPhdErf\nBzofmLcNMRYc77fcvLLNdHaEc479/f3VAKRAGsHwUsl//4/+W/QZjVX9KfB6axB9q2O9o49xbcd3\nvyrr5IgRQjxZRlOP9F7P9UHGwL3zP9CTjfcAeN23PT2EUiv3em0kJksg5IMlyzX5KtxvXWUro5Fa\noTOTFsyyoKoHlGVNrgtk0KhowImVyi4QVqAq9fr1EqkVaWCg8C6F/3m/4s7KewuNDwuU8sjoiTag\ngkF4Ra03+Ys/e5k//j++yPWXt8j1kCIbI0RGb1NA4cbGJnlhKAqN1pBlWRL9BIhBIaLGqIxMVwQ0\nr7z2Or1f8Ov/3a/wkY+/H28WZKOAMRnGZFjrTtSUwTnOjid87UsvMJ8ukFEQXMB1gfj2uP9/NagK\nIZ4VQnxDCPH11b/HQoi/L4TYEEL8sRDishDij4QQ41Ov+YdCiNeFEK8IIX7iu507LzQRS1ZIZotD\nDo4OuPDIQwids7095cMf+QGKssTkikU3I68UVT5EkVEUAxCKoqywrsc7S/A9IaakSoFIlngyxQNL\nAzpLFCWTaVzo6d0cqSJlUWGtR0SJ94GD/QNMppE6UgwqTGk4sznh0rkz1EZjtEarjKqq6Z1dTVsj\nfd+yezBFqeykSnEuhbcVRYYgDX+8EwQr02SdJA1dg6uPybxYKskTTz7OJ374E+xNt7h++woyiyiZ\nkmUBtDKkILUkN3XW0bc9RJIGm6RgWSwafHA8/uijmMwglMD6tM0KShJl6qEFIVaGH8m0O5AGV1Fo\nhDJ0bc+F8+ewtjm5YVwIqboGtnfu4nzDcnlMnicqV9pWpmpIZ4ZuOWc0qPG2xfYtimT+cf78BV67\n/BrveefzxLAOy5PUdRpMxhBYNg0XLlzE2UCm0/bsZ37+p0FJ6uEEFyOdt7S9pcxHHO8tuHLlCiEm\nRdDW1hZKCTpr8Spy2B/wT//5P2F0dnQCNimT6d7W+0Fq1AN3B8B3gOJbf+89RkBY9VgfBNXT9KkH\n3zvGSAzfyUVdD8TWLlTrhNh1QmpVVRRlSV4UJ19bD+bWj7quGQwG1HVNWZZIIXFdQEZJ9IG+s9jg\nV5WxOBlg5XmGUokiSNQIUlimYGU0E04pz5QjxA6l0xBMyURz9A6kz+hngS9/4et8/j98gf29Y4KX\nhJg8Zg8Pjk5+p7IqqOtkLSiFBkSKO1rRwrTMKIsRe4fbfPvlv+SJdzzM3/yVXyTb0CfVfEqgTVFJ\nFy+e5WB/FyMzbOdYHC9xrQMvEP6tWzB/1fFXgmqM8bUY4wdjjB8CPgwsgH8D/APgT2KMzwF/CvzD\n1YXwblJc9buATwP/QnyXq0wKgagyWu/Z3trn/GiTC5MB8+N9BuWIhy9cYP/wBkftNYRZkusaTEbE\n0zdzYnDkZcXcdzShpQsLhGwIzJE6ApoQEtew1AVkHtssEdFxGG5zffYmx2GH2wev0YY9sJ5KF9y9\nvUVWVqiixmSe2gTy0NMfzulnntD2mDJnYR11scETjzyFlHNms30WByT+H4HgC6QyLO0xWZ2lgMMY\nkQ5s22JtTwwSoiH6gBKOEBsGE8F7Pvgo5x+peP3Gt3jpa1fQaLQyBFUkECagS0WhNXbaIpRCmZzF\nsiWgEDrDypayEjTzA7Qs2d46JPYe7Tq6xR4ys7TtFIfF4sgzjXQB6WUSZUiZDDVijzIFR3ZBfT6j\n9RHl5CpKJOKkhGLI9p0lwQ6xnUK4SCkkOoLUESdbGnfI1FmsMCg9RGUlDXDUTtncLClU5Pd/9w/I\nyPFdg3ct0rW88/FHqHXO0dRimw7tF2kxUIKNc4bPfO5HuX7jNQyGLGjcYkk7XSB8znQfvvblv0RK\nh1KOo/19BoMNhExRJDvT6/yTf/abfOhTz6GrADEp44LUxFXyp4wSHSTJp1ex9jIVIu1C0nUvV3LQ\nVeS0FGlQowReQdAKrzReaYQ2yGDJpER4EO5+w5Q1z9RHSJJ9iVDJgGQ9lFIiNZCU8ORGkJv0se0W\nBNLWH+/QRAopKHQaCKbZaKCShnFesVGOmBRjBromiwWusTTtkpk9pJctTW/BBmIbiVbQtwG/GmoS\nRSpelEV5Rx41CrGiiXlC7FfqMVBhhNFDtM5QKsNkNZaIkB6FQ9lI4XLm1z0v/MGLvPa1u/RNjowD\njCpZzOa4vkMLheh7Si2osoASLYQFjZ2jVUTG1BqQumZy9gKvXL7M3Z1b/PTPfYoPf/JpenMIuqXM\nDJN6RDOdsX9wxPFiRtctU9/VOrq+ZdHPv0c4XeHa9/j9nwKuxBhvAj8P/Nbq+d8CfmH18WeAfxVj\ndDHGa8DrwA+81ckWdgl5mhK+/sZVnnzucUbDCdffvMPzz3+AWbNLVgQODkzsiiIAACAASURBVHfR\n2mBtwHm72sYmbbpa6dT7vl01+GXyYYwKKXOUKJCiQmcGHwOL5RLrHRGY2TscdjeI2ZTdg2vUdcai\nOeJosZ+iHwzU9YCirpkvk+xtYzBiPBhi2w6z2n4dzu/i4xLfW2IQ+GipBgOU1ngi1vbJho9Vr1QC\nMdK3EinzRHbOHNlQ8Nz7Huc973+GZrnkxhs3uXH5DioqJhtnCASkcDjXn0RbG2Nom47eOpwPzJZL\nWG0NM10SgkCbEts55rMFg8EQa5MqZzwe0zXtCZm77boUXBhXlCnS0CuRwiNVlRI2q8JgrcPoEmIO\nGEBwvJghULjGMZ1O0TIQ3RJnF0R6YvQIbbBuFcgYJLnKKIqM3jZMJgPKSrO9fZfhaMyyTVS1N69d\nYb7sWFrLMrQ4EQkRmn5B6xaMJzXPvvMpdre2iG1Eh5x+HgkLTyFHLGeOV158A6Kgdx37+7sUOqPK\nCrQyHMwP+KVf+yw/+GMfYeGX+GjJJKRGSCAqgdNvXUE+eDwoAvAnVSkkytL9/dKwSlY9XZGeNmU5\n/bngfsqVlGkiLrQ6mYxHKfA20PeO3nl66+ldIPjAKpcdpcxJJZsSU83qXD3Ldsa8PcLFjt41K6XZ\nvd6ulgrbdnTLlmA9hJCqypDsDlMlykl7Yv1zpmFThtFp6y6Fuu9v5Fd9UhkCJmRsv7HPf/y9F7jx\n4hWG1FwcPYSKGYtluxpWpYo5yw1ZboD7+8xKO+bzI5599jmMqbl+dZuHHrvE3/m1X+bcpTHzfp9q\nIpgvjlfGQSmJ1rYL2maOdx2ub79HeEzH9wqqfxP4l6uPL8QYt1f/+VvAOs/1YeDmqdfcXj33nUcO\n5ZmK48UcoTRORg4Pl1T5mAuXLtC4bZyc0boZCMH+/iw1+pVMU8aTCzSsYmgTSThEj3fJmUfJDIFK\nq7xWtG2Lj4HZcsHu4QxrBBSKrCgwOrB/uIUVHboUtP2Mpp2x7GbY2BFCh2vmuGWLFpLFYpl+jRra\ndsn+1jHBCkxeoI3GhsTpq4aD1H8y4H1SJUkEvnc41+GZc/7hEU8+9zDDQYpkuXXjLndvHRD6jI3J\nBJQk6tUwJXjqQYVzPSEKFouW3jqQiuPjKV3vCEJSFQVt31PUFdPjY5aLxYpAnW6Q6XSG6y0iROLa\n2i56ILVBYgBjclywBDyZyfF94OzmhBBsooeFJLtERKwILBcdvg0E5xHRQegRhHvySpEWojyvUrpr\n26N1RtN0PPrYoxRlxp27d6mqIYvFgoOjfcqqpOk6ps0x13eusTvborMNbWipRgU3br3Bz/70J5mM\na7a37zI9mGObNJiwrScXAw73lvzFV18iBFg2c6ZHh9SmSAY7WrIz3eJTn/sRfuMf/z1aWlApQVRI\nVlEj9yur7hdurAZdp8D2JM4lSzsrRAKcSIqZXr8GxH1T+JMb8y2iVE5/vAYtuRo2CSkS11amaJ8Y\nUpZwkBJ/8j4poVWubACNMSfAKqWkaRt63yNk6sXWw4qusycWh+tWw+n2yFrYoE45cq232WvATqCd\nUozT+iBX/dB4krV1MvgTAhk0NJrajXnzG9f4/d/+I17+2nUqJlwcP5xECL1N6QLAYDCgrPKTpAXn\nE0MhEjg8POLpp57lySee4faNm0yPDvnMz3+aX/zcz3Dr9htIdTqhQRI99G3PYr6kXf5/DKpCCEOq\nQn9n9dSD3fzv2X7gL798mz/6na/zx7/zTeJiwGTzPNevbfGOZ57DuiXlEI6mW/R2yaJtWDY9eZnR\nNAti9PQ2TfmlFGkrHX2KGo79ilyfUiuFEGhtMFmGNDrJ/YxBGM3N3WvcPrxK6/a5desqs+URi25K\nlJa6MlQDRZQd8+aQZnmACA3Be4zWlEVS4kQZAMWta7tksiYvhqky9h6dGRCCuh6cJGAQPfiANo4s\n63nfh57i4iMjNs8PmO7M+fqXvo3wmkBGkAXjcUnAryq8jKIoyHPDYrGkbZtE4A6pkxwiWOcQUhFc\nh8cyOTdmd28bKdJNPh6P0DrJQquioG+7xM/MzCoXKbkcORfTuaNDKoHJ0u974fwmzrdoIxKrAUuI\nLSrLePXly5zZOI/tLF3TMshrXOcRaJwT2BDwAdo2ae0VAmcldTlmOJhgTMGNm7dYNC0+Qts2RDy3\n7t4kZo795RY7h7dxccG0mXLu4hn2Dre4fuN1/vZ/9VlQAkdAFxnIyGJ6SLfsKLIRhwcN3/rL1zGZ\n5nj/gL3tXYzOkFFS5Jqjdp+H33OBf/zP/iecjsQs8U0loHl7/TVg1VsOeO9IcSv+PlrT+jhN5n+r\nwRXiOz0DogAfPNY5lm2DXgGYECpdA0LgVjE8iT2g7nFxV8DsvWc+n7NsejrrcS7gXMRaT9/Hk16s\ncy4tMESCiMm4iIhcmcoYbVAyA/R9lK4Y42o4tJK32rDixvb3/f4IcEoSU2WE8hFsTWxrvvnnl/m9\n//0Puf7yLapyRJbVLBcWJQucFau48zxhQPQErxAk4+/Ll19lPBnxkfd9mOneMbeuXOOxSxf5B7/5\nP3DmzAbL5fzElnFxHNm73nHn9Sk3Xz14W//f30ul+mngL2KMe6vPt4UQFwCEEBeBndXzt4FHT73u\nkdVz33H82Gef54d+9lkefV/Bcx9+DN0KMl+kuIvashQtR32DF4rNjTH7O1dQrqMuBV4s8KHB9kt0\nYWja5Jlqo2NpZ3jZ4aVPDuxSpgtDlWhVo8UAxZDKlOweXaOLW5RlYHexx7SfUm+WIHsGQ83ZjRoj\nYDQcY7Vgpi2xNuzNpyw7i9YgVMNy4djf8QyqIYWWFBK0azA+TSk7sU9UgCxAZYi85+I7DM984BLK\nZEg74kt/8gpXX9mmlBV926GwEJaUZw2eNmW/C0ehNcoJ5gdL+gZEyMlcRDmLkknNVAqNqSr6fgpx\nQdMviFnOfNox1BuM6/OIvKbIDO1sShklzfEC13tCbEkZywpBgRGbCFJVY52gntRAS28Xq+x3CFLR\n23365REDbegXPZYeF5cUKDKvCTaS6SwFwnlH8IIYcrqYM+td2rFozbJJU//oe6YH++RCsTc/glwS\nMjhs5+wvGnZ29lEyJYHene5zd7bNb/wvv0o+bCjKHiNikh03PU3jMabg8OiQb3/9MmfOPsTCduSV\nWfEdB/83e28ao1l23vf9zna3d6uqruplumd69uEMhxxuIqmNlO04VuIEioPYiT4oi2IogeEYcD5Y\nsIEgjj5IkZMgCyDBgqNYgKzVErRajmI5ikhqoSiJM+QMZ+My09M93V3Vtbzrvfes+XBuVTdlxREZ\nwRMRc4DGVNdUvf2+Vfd97jnP8////hTVmFW3YLan+Dvf+18gKoupY0bSSQly6AEKh8Ij8KhC5bwp\nkYi0CAIqZfG5RCCDQMscnSzJGSGSwcGWFMaUQDzTsCohv+zPvQYELYccskKhjUQbOBWLng4DEYKq\nFKAhaU1KBkVBEBEvI1FEJINfX0lcsCzXJ2y6ZYb3xHzKKJSBGDFjjaoKhFF4CTFqhKrBGESRCCbn\nR5VCMNWGSVVSlyU6lVjrwTpk39G7Y2xc45Nj7Ras/BHeL1FKoqRC4UmpQwVBdAltDEEG+pCVBUUo\nkIuCT/zys/zcD/8T4nFip5zRiArRCXa2tiFFxqOausrf65PDC0cQlpc//wKL1vLhb/gos2aX5z/5\nMsdvrPnX/uyf4z/99m9ndbCfKVy7NbuPzLjw6BaXHt/+Csrj3fWVFNVvB37inr//IvAfDx//R8Av\n3PP5/0AIUQghHgIeBX73j3rAtu05mZ+gjaKpC+7sH3Lp8iXabk3A41NkvV6jpEamLDnSWhNTYrVa\nkb36mrqssJsOEfL5IqVBChRDvthjpO9bykIPdJ1MiUIISl3RrnratuPNmzfRwyS7rCuUybs5rTVS\nZX+ziznOoqqyla7vO3pr2bSOO4dztClJKJIUdMERZe55jbemSANmJJBF4Ml3P8599z1Ioca88tJr\nfPJ3nkXLGpDElAcBLgSaSU1RZe9/jAmtFFIo2k3Hctnl+GfbI4U8i+9YrVbZXlqWiMEAoFRufSyW\nS3a2d0gxoRDElCU5i8WClMJZH+x03e0P5sulrCqUVplUpQaw76mQ3ShQEmt7xnVDv+7o147peIu+\n8ySpcc4iVN5dpZSwPhCiJQTH1vY2F85fojQ1B7cOUEKxWq0oioI3b+wznc4QImLdhsVqn0jPyeIO\nFy5eBCQ337zNyXzJhz78IVabFaqQuX3hA8v5mn7jmYy2WW5aPvFbv8l03PDqy59Fq3zMrwrNqK6x\n1lLtVPy9H/xetu7bQVSRJHuUyNdNRBOFIt2zs7xX6H56nP2X7Tzv9lU5E+zf24P8l6kBUkpfNsk/\n/ZrTxym0pjQaIwSVMpTanH19vOd365xjs9mw2Wzoum7Y5WX1yaVLF+jajlIqRMg3CCMkUqaMBlQa\nKQqEMPnayyMq8kcJmVaI1BGw2OTzQDYIQgBnIwqTNzjSoKRCSIlMAqkFqoKgPBbLRh2z4ohWLejL\nNb7qcMLw4z/9i/zSP/01Dk9amtkuy+VmaEUJqipvFqSEFBwpZZLE7du3efbZZ7l43yW+7d/7d3nt\n+uu88PJLjLamfOd3fRdPvutp3vuh9/CeD76Hx975KMXY/PEq4x9afyx1qxCiIQ+pvuueT38/8NNC\niO8EXidP/EkpfU4I8dPA5wAH/LX0/yD8a6Yz3nz9OjvbW8xmY25+8RaPXJ1SjQuW3YKVW9P7QKkN\n7cZSmREp5qA0o0ui8PSuHaxzKVOrypS99dERpUfIQIwObQRlaVitVjjrh+NNRMSC0MFis6KuaxZ9\nz3g0oqqr4SIXjCdTDg8POTedMaobjC5ZrywRT2VyAd1setZrS71d40OgFxFRGHyKuQWQJOUEqkZz\n/4UHqEeaxaLjlZdeJnlIzrBZBaQPg3dfEiScuzhDqEgMiboaoYQkkTg6XNC3CYLNTXuT31Baadbr\ndY5Nrg1moBpNJhOOjo6Qsx1GoxGvXXudemeGdzn80BRDnlLKYXxal3fz60UiJgESxpMpy5NDdna2\neP31fYSohiFMxMbIZGvG4fExo62a5eoYWWrmx0uqqmHlLckEfBeompK+6yiUQeDpfcutg1tc2DtP\nXVS8+cZtzl2YZgCx67DWs1gsSWaY0KeemByHC8+Fy5d47foRCMFr12/w4Q9+EK01L7/8CoKCsqgI\nKbFZOKoiYLZKNpuW5577NE8//Qi3b19jZ+8+xvUY13vwhl55Ojfnb/zdv86P/eA/4tXnXkH1mugV\nCUlIIQve/9C6l2x1egRW+i7uD+565bPkLt+0bdefwVWAswJ7L5fhbFg09CtTCoQhRPFUr1oUBUUM\nICQ+KipdUhcFVnUwQH2CD7Q24/Hats3H85h5DCllMf/OzjY3blxnVNQsVpmQ34eOEDvSYPo4VUPE\nFIgpEXAQEyEFUsoC/iA1PmkQA9EqnUYMSQqZY4Z86AjJYZMlsMHUkgsXz3PffU/gJz0agZYKHwMu\nRZQqsG6DqiRv3H6dW4e3GFWGvb09Np2lLNMAeKlRxYh2k1t2K79BCcXvf/Y5PvaJ30QJyfTcDp9+\n6QVMVTLd2yZWDiEE23rK/Y9f5lM/98ofp0R+2fpjFdWU0gbY+0OfOyIX2j/q678P+L7/t8eNInDz\n9j5PP/kUtgsYXVEUGk8HMrDuLdY5BIbVyQmFrBFCUddN9jbLhLWeoixZ2GNcigQJIjhCyke0EB0h\nWoRXjEaZcJXwpGSRwoCVmLrkpVdeYDauCV1L0dRMZzPK2jCqRuzv52FJMgaPwEhNWQta27PpNhQj\nx8HhPllmI0kyDL0qQXSBShccH664+uB5pmaHuBHcfPOIG9cOIBpEBCMVwZ5mIyV8lMgCts6PiGKJ\nMoamqkk+0LaWa6/fRAhD8Fm+5b3H3PtGVgpUtng6a6nrmqOjEy7u7JFSpNu0GQguoBnVeG/RlDjX\nU6iMQNRa5ze1BOcDRmVXVNdbdnd3ePXz16irjIOzwVFpQ103/P7zz/Hgw/ejJwIbeoiCdtVRTkd4\n1SGRdH2X38BSk7wnGoEuFdNRhRaK/Vt3iPFxdvZ2SVJQ1Zok3Nkw0toIUrDqei7uXkHprO1treXZ\n5z/Lg488wJ35Prfe2KeqJhSiYN1uWJ2sGJsJ48mI/YNjnn/pC7zzXU9yMr+D73vG40l27xSKdXJs\nYst3/LXv4Jd+4uf47V97lqaZ0W08OkYgIITJ+VTDNf1HObDu0v5z0VJS5cLqUwYCqawhvZeVeu8A\nJ4TTE0Qu2qeWUyG4+zs6lWGFQFCRiKSuq2w7RuSvw0PKGuDWd/mmeTogEzlUkIFx8O53v4sXPvcc\nRd1QR03vHVJnfbMQEiEz10AolRnDocdjkUpjvSMZhVXgXEewCVP2uScsJaPpBGM0o6ZgPK6Ybt/H\ndLZFUVboGjb9Eh8slgVedLSdI4WEj5GksvvQFJCC4Ny5CUVRU9DQtdlwMz9eZXOQlCilCdZjlB7A\nMORk3u1JjqqXAj2boisDEmR5F2YU7skg+0rWW5qmerI8ZDQaU5dT1svA7rnzlE2FCz2b9clwF80X\n5f7tAx48/wAxRgpT5R3BgMvzClZ9h5MJS0SRoShpmOrFFEhOoXXFYnFMiB1Se0JMRAta1HStZWdn\nSogRpTWt7dnemwJQlSXNeEz0gcV6Rb8JiLKmKAqEAcuKo/kdkpIkGVGFotYFIhrcpqUUEuECVSGw\nmwWvvXhIuy4gqmFXWBBsyBg+kS2uIeTdtSoEolQoVWeot0jcvrWP7SMpFqDyEdP2PTvVHmuXB0DW\nWqSJ1HWNs5bpdMr1N24SU+LO7QMefeQRTjYrVnaT2yPOUU/HuVVgJGU5vMmHXVZKkYShKEuUMczK\nOiMAB8iHlHIoNBAlrF3HrGjoU8+kHPGpT/4OX//N35SPgihiihhpaMYjCka4bsHlB+7j4PpttAJr\nPX2bi9zxyTHaRMASU4Qo0VLnabYAmyznL+6wmnusg8723Dne5xu/+ev5xK//BifHG0KApiyw1rI+\nXFJoxWzvAm8e3CG9/CofeNdTHN66jZaK0dYOtu1oipK1i8xXS/7Kd3w7589f5qd+9BcYyTGlkUgh\nUabIu04iKWVI89mx/VSg/0dO8nM7J/iAEvFsYBTuMQacPs7pEV/KLM2KMSP4jFHUTX23CJwWVSOI\nIuFFdjDlVlgkktMKYoyQwlmc9V3rqx8GWQlre65evcorr1zHujzYDcLTlBU29kgdUTpQj0rq2S6F\n0OxMpky2J4xmE2STB5syCXaaKbIyWT6VEv2QRqt0z2TS5I2TqPMNSq1ZtYqDkwN8BNsqvPLUVcNk\nts2ybXGhQiuBFAkpCpITWU5GgqQYN9uDISFlRGUsQWpidEQyABuZUEZjyhphFFElYvCokBBSIMn4\nw69mvaVF9fBwwXi0RaEqTuZ3eOjiBXTRQeXxq4zx8zYxayr6rkOKQMGYrdk2KVi08cS+RSNxcUNS\njpQife/xMpBES4+jxyDjmvG4yj0WD8lJTFDgK2Insb0nCY8qNGU5ohmVEB0nfklKAjt3TKfbIEsw\nBcHmYYQqILYb7tzqqMwUU/Zo0+BTR0oTytE2XbpJNGN06HjlczcIqxI1yJCSAiUiLlogEqRGlQUO\nx8XLE0ZTiy/GGB8woWW9ccz3e1RQKAkpBowe46wheoGWErRi0fecaxqMqohuQVFVeJ9oreXgZMHj\nDz5M6qEza9rgkCEhvUdvabxzbDaCuqohRkoFvbN4D1VZQzGi747Yno3p15BUBOlwqaHHMzu/w8Ht\nY7YfOEePY6RSTmnoI2Uq6KJHVQahDYeHhzRFg5EOo8Fay3SrorWBoxsrHntij9AJnOuASbbHktkA\nSUNCcbxccW53hm33sTHQBcH+wRGTpuSbPvpRfvKnfhZjBFrU6HqC9RtOTtaIomQ2usDRjRNekZ/n\noUfv5/bRde5vCqrRiLDxaBtQjeHI3uEj/9aHGe0YfuR//hmM3CFFiQ0tMWmKUiPLgrrWRJEyC8J7\nrHWkoaiGIT5FK0NKhj70RKnofKIxAZxFaU0MMU/oZTkwVyWj0YjetsTo7+m3KgonKYsxIiZ6b7HB\nYZxCCZVh6yrgUyD1eXCTYdSSKANCJ0TIZoU+WQoxQolAcB3vfee7+Z7v+R70ZML03IRmMmJ3d4ft\n7RplBKoEazegEhGDEYrkAxjJmhW+jahOklxkvjrhA+98Ny+++jJd8ESdW1ujSjDPFxAprRBCUpiE\ni5GimlDpxOT8DK3ysFergktFSWMqYoycnCwyJzUENtbSbjYgArbLAYXOeUaTaeZU6BKhwKTsQhSF\npByX6FRglMCGFqsiQhoSQ3jiV7dRfWuL6v7+AY8/+gjeWvpNS9NUkE7THB22d2dRH33fZQ2a93lA\nZTR9yr2eTduy2eQYk1QNBPUQETLkuxIR7yKT8YzFYoFzObLDB4/Whtdeu5bv7EmcQU3q0YjRyODI\nWk2lSlIcjhMhnmn9rF3hXOTg1iGVGQFZSDytJxxtlgjvKIQk9QGpFNaFTNgXghQChS6IPqJFtosG\nAchIa1fs7F3Nd1Klkd7Rd5ajgyW2Dxn2LE/1jIG2bQkh95GJia7bEGM9wFo0VVUxnUxp244TscQ0\nBaqVaF+RYk9ZFdy+eZ1+CVvjbUblFEGGyUSRe3Fd1+chSFmxWK554P7zvPzidZSsEEhCioQoGE9G\nvPy5l3mSJ/Eh0lvHo48/wUuf+zyPPvMIWkiIKfcRRY4cliYhMEil2Dt/ntsHr/OFz3+R933gEQ5P\njtna2iGmRKEN1jtEzpZGCMHJyRFPXH6Ug1tHVOQI7BAjL7/6ed75LsG/85f+Df7Zr36M4LPTqNYV\nrvXMD+Zsh22mk21ef+0GyMjT73mS/YPXGY8vcG7nAjdv7lNWFaNxzbo74Rs+8kHOz/b4/r/7gzRl\nTVlWpKBxPhCtw9KRhMBUGbY8mczQ8u4uNfMQHEJGpIrE5LOqI43QKg/VQJ4Nq4zR1HXJZDLBHzts\nb3NLwCe8jHTJo4XO3xtTFq37mFsMIqJkFtdb14IKnNKl8BIZMi5QkVBB4aoWUxdcvnQ/b8xv8PgH\nn2Dn4h5eCzb9Bte3rFJHcpmuX5QZrSlSPjWWoxob889YJDLsupSMxg2feuUPUMbkYlbqQY8qEQhC\n8mitgEDnPOu2BSFomoaNk1SVYjwecXx8hA9zZJKDbEyipKasKnTVsLu7RWE0RIkSifWmpT0dTEuB\nEYbZaCunTOBY2RVRBfqQi6kQmhC63N4QinuHhF/JekuLqpSS8XjMya0jzs22KApNXdccH99BCMPx\n8YLZbMJ8Pmc0ajBFDi0zRmEKRR8S3ueUxs2mo207wsgjKLCuo1Q1zmcYtCCLpJ0btHGDwFlJw2vX\nbrB9fsJy1SK1pqpKkJIQJUUxRQgNSeAdGZIiEr5ziHFFSD3dJrI47mjkHoU0SBTdpqeuSozJwmhv\nI1Jnz3FhFMFFSlNmB5ggi/DJRcKUmfoz2Zmhmgq73mBkwXy+4db1E4IXSGnIIv0wHP/8MIU/1QVa\nUlRImftufdezNZ2yv3/A6JERz774WZTzTHfOkaKjmtT0vcYnm6emg9VxkLjni4y8g5JCYzvHuZ1d\nqvIW1iuUKLAp4VOks9mZJUKO7LDe88BDD/JLP/krPPWex+n6npBiVitoTVlXrE4WmFE2YVh3hFaa\n4+MlIcBm01LXY/rY5oGMTAgFNgakUPjoKJsqaxW1RgYGTWXkC69/gW/8um/kmaef5JVX3mC+7JDS\nYLSiW3Qc+xMkU3bOXWL/1oLnP/sSz7z3Ca5fu8V0POWxRx5g1ebYbx8dR8ubXHh4h+//+/8V//Xf\n+V7Kpma9sAgMOpaIYAnkVIS27cH2X1ZUjTEopaibEaUuECnHkGRNs6azlpQExWlksopUjSEkS8Ci\nC5OP+inLovpg6TaWJCIhObTSxOSRIoEIdG6dj/vS52BJJbCtZaU6ZpOSh69eZevcDpOtGa3t6LoW\nYzSf/eLzMFYc9XdykTKSyaggCYdSBUKqvPsTCi0kKgIyE8dICjXwI5QWoBPVZJbbZYkcZhgjqZNn\n+t0YPYiER1DVY4TQSGGozBTX9Ry1KxJycAlG0oDLjDLQ9S1oQWs9vu+RKIwSKGNQWqGNQZUKusTN\nmzeZz+e854PPkKynjwG77tFUlNrgvKUoshzsLvXrK1tvaVHd3T1H8jEPCEa7IBLzxTEhJGywKGWo\nqoY7+zcZT0aZ+ERE6+yoijEQgkcqibOBxXzJxd3zOdxumEgLmR1XzkWmo9kglM9UKEne4i/XGy6N\nLxGdo6wrhBHZIeQTSShSjCitMrNVyTMKT1kWtH1iebymXVvqRlLogqYcoYoSa3uEEahC45PId1GZ\n4SfSaIKMWUSdIhg9kKoEQVgeecclinFJHwSlKQhLx80bh/SdzL1YAadDBSEEiVMep0cKg3MWZyOm\nhKZpsJ1lZ2uHV7/4Re5/7CoWRykiyeXkhNV6Q1k21KMpURq8y6J3FeTAes2WxON+TlkW1GqXvoW6\nyBe5UZo+OGJK9NZy9aEHWc0X1LMCl1qirNFa8uZr1zh3+SIWzjBPne2pmgm9tVR1w3g8JsZ9Ellj\nvFquGe9N6AZLbVkUONvjUkArPTBtT5jOxpwsu9xvJSEoCFLzB59+kfc/+QySipe+8AUW8yUqanSp\nsbbn8PAYWexgyjFvXp+TeJlnnn6C27ffYHv7AmVZ0tseqQuEgMXyhHq8xd/6b/46v/Kz/4TP/sHr\nVGZMChIRFaRh4BQycf9elYC1lpQkfb+GGBmPZ0ynkqbMrqblcs1qtRlkcNA0JUFsMuZOZ5K9NDnq\nxKdIQGTpnEiUuoCUEFIN1+cphzQjLKdbeWNSlCM61aIQjKuazlna/ggjFeWkoB6NAcXWzjbWbaCQ\nSAEiBJRWJAQhgtI6G0UkGRZETlkVCbQxaCMIwqMrg48J74bIGsCnZtQjbgAAHnxJREFURKXzia0s\np4Q48F5l5vES8+CsWy9I9xDAEhIbPDlrS5FQCJlAkR2AZZVnDwObIcSAdw5DYmu2Q91MuCLvJ+rI\n1tYMmSJ+XRN8ZLlakwaTwx+WFn4l6y0tqufO7dK3LVJIJuMxRVHQ+zXr9RpZ5r5JUZScnMzZm4zR\nOl9A1lpGVY30YviBZwmKdT4PDDgtqmn4AUlil9CNGeQnDqkVTV2xWLVIpamaCruRlFWZL0wl0bpA\nCokY7KFi2IEIEfOxRwh6a1mtOoiKsqhRyiClyheX0azaNaos6LxjZ7qDMQoxWDtlYUhkH3seTOTC\nO9tquPLAXta4KoMInvnJkpPjBdHVCDE00IffuRDgvcuuFmXwKaG0yHdbk9NqvfBnmsgc3BcphMT2\nK8xsi661bI2nrH079AAzbUgNkqdscjkNeOtZLjznZpOMHRQSQcwtjUEudOHCBfZv3+Lh7ftxMjtu\nJltjrl97g8sPXcVHl50zw1JKE3pHUZZ5WKgUhTGQBJvNhr36PGu7xCWf2xwxIBUoLZiOxmzaNkvi\n1hYiKF1kp10C28P8aMn73/deLIEvvfE6h3eOkFGjdcmm27BclExmU8pmyptvHFHoF3jX0+/jjRs3\nufrgQ5SFYW0TCNi7uMdi1bK1N+E//M5/n/+1/ym++MKbFHoEHnIPR+Q0AHVXm3oqlzKmoO8F8+MT\njkMmMEnhKEtN04woS8nOzi6mkEwmI6ztCDFwTswoi1GmO4WAtZZILtRK5BsqKbHaLHHe0g/9xhg8\nSifELVAKUAqTKlzbIXwErSjHDclY3vPe91Prkt/7/WcZjSc4t6Zoapq6ZNqMaGY71E1JUVWUdZUd\nhTprWEVMnKyW6LpEVyU+9qz7FV2/wbvcHpJaUzVZj43wQ0IBSJEdcEqHPKkXaTBDZFut92nIN9MY\nI856ysGnfO3E3F6TQuS0jKhJiCGBIBPSbIpopfAysVjO8aue7arGxIRRmq1JQa8aUsrUuNXqqwOq\nvKVFdaJG3Dy6TZUKRtWIeViwdi1RGezKkvoe37f07YY0HhOiRDYlsi7ohMcpjxOOEBtCGlOYgr6N\n1EWGlxQ6IrxEyQlKrYlqTTKJ3kJjcoT1a9deYbQFVSXwQhNLia5LirLOiDCybk0oidJDQZUlKSra\nvqOoDK9fO0CUI3qpcKrAFDOMUWjTobSD4FAi51SlMiGFRyST9Z+dxQQyNUlKYrnhgSceQ5YCHTWi\nlagouXN7ibUKRSQIe2ZRVDkMHpkyeLgXfb5ek8HaE4rxFAqFXTkm0zGjUcX6YMHk4i7l9piyzTT2\nNrQgE+FwjblYk4zAq0DXR8qCfKMRApkUwnqapqaoFVfuv8AXXr+FLjTRddiUI6eFTFy/dourjzxC\nVJbOtuxe2OXOwR261iGwhBSIpaCzBbGsGE0rhIfZZMbu7jHr9oTWCspmwmbtaYoxqz5Ps6PUmF5Q\nRIOua4QuGY+nvPjS59k9f4EgBEk0iNBBAZ9982WKvZrH3vEg0VuEiyznHRpNqQvakzUmJFQaYaop\nN663qPgi737qYV75zKd4/Mln2CoKTnrHyXxNitAmixSRb/+r38av/cJv8Fv//HkaMUZLgYyJQkmS\ngBgUuZep8gSfgMJRKkkICpwhRI2LCick1m3ouw5da44X87MEVWcD7fIWiXyMn0zGiJBwBByeqirR\nUpB0QwoerUu0zqcIERWlMRilCdZxvOzo+pwXVpYGosQ5xQce+Tp+6O//EGW5w7X1IQFPjMeUlUZr\nQUqSGD1ttyZGj3NZUZDpV4mdc1s89PBlHnv6HZy/uMvYGJwes+k3hBQp6op1uwESDk+wASkD2kik\nSlReoUQkEFFSkBqNixFMQAKCDUpXWRqVQJb5dKdiGAwqCaEhxg1JSoQ2aBSVKMA5etnTOYcxGpMU\n640agEJdRnTKQ8aTMduzEZPx6Kuqa29pUW37gDYldVHSxtxX8sGCEtw5PqSejZivljSzCdV4RBA5\nMllJg482U1NF7j2dHtFPxeohRBh6lImIdwmlC7Q2rFdrmtEWrm85mR9w8XIz4NIipc5HpkyAkiRO\nd6nZuJ8GeUoIHilzeuPJ4TF1UVMonS1qKaB1jSBP44vS4F2XezvqFC4MmkTnHDIqXGwpRxWPP3EZ\nVUZCsNRljZCR1Z0li+MlImliyLItca8PPMUs3laShCQS8Pf4rk+PMskHJqMRi/mcS5cv0FpLLTL1\nvyoKjo+PMUbn45kbkjJF7glv78yw1rJZLBEIalNi1z1bkwlG3CBpSSUENgRcm+iVIiZNxGCtICXH\n0+97Lz//Mz/LfLHgwqVzHLdzIomkHb1NJBeYbp3HFHOmo4btyZRCGOyqI21PGY3HrPtFDqCLEYlG\nm3LQvHpmzYRuY3GdZzQZ0QuHUAXBe6rJmOdeeJ5v+NCHeceTj+N8IMSbrFcWkfJg43g+p8dz7sIu\nqaz44ms3kMLx57/lm/nNT/wWjz72DNtlxVHX4aTAB4ghMqoL/uJf/ovsXbrMz//IL1PVNVE4YvwX\nSVZ3hfyDqF+IgTuaZUxKe6q6yD1V8+XpujmgL39vUZSEkBDaMd3ewiWHty4HNhJgOG0UZsy4GdFo\njfcO21kCkqKu0GVuE4XocTHwdR/4APPjFe3GEunZdDlgU6qBS5AUUgnWqx7nQKkSJSQ+pmzjJXBy\naPndmy/y3O+8PAx/PUloJrsl9z9wgStXLnL1ofsZTxts6Oh6jxcJdPbiWt/TdzmsT2qDNJnZceb9\nFCBFQKi7cTZSCow0Z+2kGEKW7Ym8WSlUgdYKRwIkhVTgAyomXMrvpbouAeiDplu2HCzWKPWnsKe6\nWm5ozJi6MSSZBfsuesqiRKoM6zg8PMyDGJ+IAcbjDAPRhWK9yRNArbK19FQILVWm36SYqUgxusH3\nXyCEJESP1oLDkzvEuEGXhihCpt4MOzJj8vE+A3eHMIwkkIPrRWkQIscGL5drhGiGAgZaC4wqsm0u\nOKqiBDzNyFBWiuACVVXQtxlXSJSgE7O9Mbv3bRHxKBLBdwTvOdw/YnXSQ2pAnobPnQ6lGHCHQxQK\nCanuCsGd8yits6Y0Rqqi5PatO8QY6azDypLYZw1j5lAKVJ897SlEPAknJfv7d3KGfJLZ4ipLVqsT\nLl3eQRsGEfvQa1Oa3gUu3XeJzXKDbjQSycqtQMKm6wYVhCB5AUriQyJGx41bt5iMR4ymDfVxzWI+\np133gMw7k0GfGnzIEHJliCkf8+bLOU3T0M43NM0IVSlUUvnIZx3VqOaTf/B7/IVv/mjutfnI0dEJ\nJ/MVwmikF/TrnvnxinMXZ+hmiy+9fovf/u1P8eQTT+RkisefZG804bizrKNDKYP1AanhfV//DMIH\nfuHnfgVtxuAVto95aKLk6Xt+uClnO3W2VuYZwWkGU1WVSJnf8HVdn90chRhCIqWmqgzT2YgubOhd\nl28yKfMCzJA8sWktfZ8LcDVkTyGz4iDvLiUGg2st682Kd7/zKX78R3+MtnXMN3cI5EGjEIK+c9l1\nNyQXxChyjoHI3v3gAympoRU3xoqYY4GIGXi+rHn9hQVfev6Yj8Vncx9UBnYvXOKd73kXj73jYVQJ\na3dIlImgE9poNq4Fn+FJne0Q5J7xZDZFmoKyqnNbIeaqe7qJyrAYCULmaHXrMvFA5i1uxm/G4TUI\nRqM6xxSdBmAKTQx/Cqf/IzNG2oROYIxiZbssO/I9MQWmVckbiwV7u+dpygoRyG+imNnAUiisdRSN\nRA8Z56cowOAdpAGDlsLwA5JMpjNWqxVKXeL2rZuUhaCqBUkEjBkh7wlOOxMBy1PhdYby5mZmQMhI\n31kWJwuMmmF0DgRsqpJCaXxKOdFVaabjBqkck6nBpvz47dKipAShqJuKi1f2CClAhEIVQGA1P+b2\ntUMIGokiig6EGPqq+dmEEJAuokLEDNeBAfq+p0lZKF5WJcIGxs0I5xzrdkM9KeidpTF1LlJkUlW3\nXmNkc5ZBZZ1D6Sx9KgZxuE+CcjRi3W0YbTWsDucIJbHWo1I2NUxnE9bzI87VW6SYAdxFXbFYLSkO\nNJeuXOZoeUL0miQzu9RGj0Nw6epl3tw/ZtV2HNw55H4ewrlAVTX4zRKtDaNylgHOCELKaaFXH7jE\nz//Er/Jnv/XPYeryLHvJSolzDlUWfPy3Ps5HP/JnOFms88AQweHhEeOiQkjJ8mSNEZHRrGE0Os9z\nz3+JQjc8/d538eJnX+bipatoVaFCIkmQqaDbOKqi5sPf8n52Lm7z8z/1T1ke9ihTIs/4CHd3p2d8\nACWJKbvBTmOhM4PBZDD1PaYBrSV6bBiNRoTg2LQnSF1mUr9PGGmoZZm11NrifQsq0nYtowFFKZRC\nKIO3NnMYBhjLu979LrpNy+GdOULqu4NQ7kam2/40B0uQ+VQ55jzbWxmsuJlyJmVCpHzD0EkRlcBb\nIAqqcpajymVieZT43Y99ho/9s0/koZhIXLl6iUcff4iHHrmf+87vEEWisy0+jUGKrLFVmvl6w8Hx\nAVJpxmVOLzDGnMFvkAppzJARlu27VkS8TMTgwAiKkFsrJydDb1vlVpoY0kO+mvWWFtXtuuTawWts\nXbhM0tk7LqTA2phhya5BJ4ORgUIFVAKj8oQ9CY+IedoqTBrubmOs8VgRMOTHkiEhA2hhiXGDdy3K\ngjvsmS+XUEM52SZ5hxkJTCHRUqBSpv4mAWUUOXHTiCzg9oFmlHumhweB9aJgNotEvSHqkpV16NBT\nSk3oPaNqixRK+lajTIEoPLrXuL4gpoCsAnv3n0OWYK2gKi3Rb1C+Zn7dslo4BIqARUqDEqfl9C6s\nuN20CCIhbXLzXxtiaomdoywKVK1o+w2FloyqBrt0jHWJnETadk5R1HRJ4JVGdpLkJGVtSDGgdcWs\nGRNDi7drhHaIULCa9xRFxcXzl3jz1i2MmWHaQPQWVIEyii+89ga79+0QXIuKkvuvXGSxPGB7t2E+\nP0aRxe4Kn4ctQJsi56Yj6kYhU+ToTkeKkmgltdnCBailRNUVfRfRqiClSBSa8xenxGR55TNf4ukP\nPkY59hipqCcTNq5nsV4hzJhPv/g873z6EcLGopNGCjg6OqGQhqIUrBdrSFAUW4y3L/Hx515hXUUe\nffpBDm4fcWnrKmEZ6JWjd4mqaRBB4lzkqaeegr+s+Oe/9jGuffENIgVFVFS6wLqI0pkFEVy+IUhl\nQQZMWVA1FT54ClEQhCcmSEkiTUMpFcEv8fRDKkGFcAbhBUXINw90VrSM9AhrOvrkMr3aFBjyDVgL\nQ+FaVssOS6Lrev7tb/0WfugHfhQKRUgSjUaknGxw2kqDRAinbafTApph5mIAR59BoqXOrr5TqEzv\niK6jKDQki9SCGPIGSCSJJKFFgdcFb95Ys3/zBT75ic+RTuYIDfc/fB8f/sgHePSJh5nHBat2w32z\nHXZGE5pxQx97Dg9O2D/ZMK0nTMZ77J7fY9mvoIhYZdGlJLiY021lHvZlWHrKLTrvEalHiAIRdTYz\nfBXrLS2qPkIzGeUBjgZcxPvcC9RaZ3q8HsASgbyLI9/xlVKEGM4sksEHCPn4C5Gua7PUpygIPmJ9\nQJmSqqwIMd+Zuq5lOq2pihLX5Qz0qlbDNHboz5IwRUXwlqLUtD53Zrx3SOXp2o7oQASFSgKDoNQi\nQ1Fsbp5/6cUDfAgk8oTXikTbukzVIjKuG5qqRItEFJYoIi542tWC/TuHQ29ODeT2/Pq/fEn6zuNs\nImlFiooUNWmAWGTiXJ6WVlVJU1XcvvUmO+feQdf1NLqkKipWfoWzPSopUnBsVgFtFN56Nus1SgYm\n4wIpxCBnC/S9HYjvksNra9QkDz1SSjjvmM6myKEfbZ3nypUrfOr33iDGwGKx4JFHnuD6wW2UzFHj\nacgJO1nM2dvbw24c85MN1nZImSO25SZhTM6aSkkNQXp5xxVi5IGrl7n5xptcuL3DpfIck2nDxjlK\nUzFqJKmH5eKE5ckxjz9xlc1zL3JB7RFCYrmcY4oCJQs2mx413zDZGnH54gP87u/8PlooVvse/DUu\nXrwP1SWSjOSOYgZ7r9uOx554jLoe8fGP/yYvfPpzoHNxkUoRYhoMLDlkLoR8XK3ramhhAUS0ykft\nFBO975ECtGoy59YlSBEZM4hFSzXQ2HqqcYYB1WWFazO39NSS6r1nPp+zWqxxKSGV5P3vfpwbr73O\nyclRziMj95diDOjBIuu9HwrkXbjL3c/ldfpe9N6f6afvhXiffhxjRAQ19IjjoElVIAIy+CwtJHM3\nmAh613H9jQN+8sd/ma53NDPNO556lG/4yNezt7tHv+lpXcd2NePSgxdzMkgcs1qtOTw5RtcGU5Vo\nETDyHlBNzDbn65+/zdWnroCUdC7rxaURKFN8VXXtLU1TvX3nGF0VCJNY9sfZr58SIeQUxdVqQ1nW\nFEX2+mtdnEXVJuKgGXVE5xGQCeUxU/gzdCKcFZMksrd6NGqQIrFeHpMk1GVBcB5tygETlwv2Ka29\n0JokIvWoGqbtMJvNMCbfnVerDhlKjCgpZIGIOUO8d1moXdYVX3pxH10YNu0i//tS0rYWISJVIbl4\nYQejIUaLV5YowAXJwe0F60VOS737q8o3jVORv1IG7yPBqzxlTgUpGlLUkBQh5GGalBo3QKe1hKOD\nfUKEPgjatUV6qLSh27S4YM9kJSkkiFkGpE1JEIIgJUInRuMxcTBVmFJzcP0EKRkgzND1PVIJvPUQ\nBdYlxuMxXdchpaJtW46Pj8FFFNnFEkKktT3rtmVnbxelFJu1Z7NZkQ2VgfG4QumAFkPHO+YjG8Cd\nw33e/cw72ZpN+N3f+T3adWQ1b5mOJ6QIpa6ZTsdoZXjp1ZeYnRtx9cELVIXi/suXmE0m+N4OUjLD\nct7Srjypl1zafYjPv3ydT//WS0x3au7ceYNSRHbHDYpASJZkFKopcCJy5eErfPTPf4Rv/Tf/DKv1\niihyLHQSAlMIlErEZFE6Q22EHI74Ovf51qslXbvOBhcSwQW6ZeLw1jy3jigIPtF3brBrDoOsGEkh\nF0SA4D3rbs26W7N/uM98NcdRgJDI1PNX/tK38TM/+XMIckxOCHHox7t/oTie4gbvRRuqofV2yigo\ny/IsufV058rANxBCoXXJqWssS89AyqxNlcEhgmdSjdDRIE2FVDUp1BRym+3JFUZui4OX5/zC//Yr\n/Pff/T/yw3/vH3L06jHn1A4T0bA5XmLbQy7sjtjbapiNKly75M1rNzi8fQe3sSQbkSHvrK+/eguf\nIhiFKgt0VSKMRlVfHZj8Ld2pzsY7rNY3MLoE7Vh0FqEM6/WaUpf03QZpEiRwLjAblyRSnrxrmTPN\nU0RLlUG3UqElhOjzBZ4yHCVPxAUx5ciJWpfsX3uNqimZjMaDD18Ro6BUxdnF4r1FCYMykvlmRWUM\nInqWywVV5Qip587BEaPpOPfuTIHUJaDxMU/gN11HTDHbaTcdk8mU23FB8A5pYLIzIekIRuCTp0AR\netjMI4dvbpCuQGUbd57VpOwmEoNOL09lh0RJZfDCcprOqqWi6zsmqSF4nZ+bdVRF1oCu256y0kx0\nRbIeSfaZxxTpfIcRJfh8PK+bkvG0ZLU5zoxZITPF33pEKRlN6nyUkyGLslOmw89mM+ZHx4xnY6LO\nz7eqsga5qipu3rzJxfOX6boVRVWQlKLHo7XEeUeIgckEbt28w3Q6IwYoyxK/6TO7UwyDxJSBGpuu\n5creeY6Pj5mOt/j07z3LN33Lh1jOjyiaETFpTKHoek1Z7/Abn/wkH37/B1mvLfN5i1FXuX7j2mCG\nKFFCsDg6RiVothsEmptvfp7j+ZLt6Zj16oRLFyYYodm4yCr09N4SkwQUF69cIW4s3/23/0v+l//h\nBxg1s2zN7SKjcUlZalJyFGU2FjjX43wPZAG9HF6fc4G+9fRrj5Zl9rb3Nt8ktc7toQCT8QijdI4p\n1wYts/RvFVe0bYt1bkiuaCgkvO+Zp/nMZz5LZ8Wg6yzzYJh0duM+xQpm0Iod3r2RRBbz+xDO3jPG\nGNq2vTs0PqVsDf/N+WfDTEAytBZOB/f5OZSmwnmHluBDBh8ppTAyE8FKXSKipNCaS9v345zjN//3\nT/F//dLHicJz5YFLPPW+Rykfl0yNZtWt2Ckls/pSfuYxcrB/gHOeoilzykASJKDSBWmYCRC+uuP/\nW7pTbYqave1dRPDg+xzel0I+UgeGHarCmAprHWVR5UhcEnKg0oTgs88fUGQyUNdtiClkmEUCiSSS\n7ZKj0YiqLPKx3igKrbL/QpvB468HqUZkNGoojabtWlAiS0vS0D9SYsi7vwMqIgrok8dGMdDKOVMQ\nKJXjngWGEGG9WdGMC0Y7Y0bbI7xM9DiSgdB73Cawf+2I9tBjXJNjfwd2pVSDi0qKs4IKcii8gyee\nzJDNk+XTEDmBkJqqaVACptMJB3cOSajcchlseYk4uL4CIoG3HuECm+MFq6MlobWEzrHeLNHGMJls\n4X1kPBkRU47qRgyBbjHvdmxnB9ZCRt3NZjPW6zVt27LZbHjwgavgwbsh9wqw3tP2PdPpFCEkt28f\nY/QIawNaFwhxGiWdt6gxnsrKBFVTImKiNBV91/LKqy8BPQJLXWu8Tox2drAYqq3zPPfii3zg697H\nuXM7KCW5cvkKFy/uYu0a8BAj8+MjNiuPTiOqcsKzz77K8XyJqTSH+zdplKRIkSBbknRkU5AkJMU7\nn36G0XjMf/af/1WWmxM27Rzv+wyJGYIgnXM41+OD55SzGq0gWIFtI26ACwFn0+oMi1ZnsSV3W2Ge\nzXKV2QpDsYspZ2MVhaaqS6ZVQVNIPvSB9/Drv/4xVLVDUdQYU+aoIXE3a+uUQ3Dvv3Mag3JvAqwY\nOA73/v+73+fPHs+5kC2mQxcrG3IC3gcSmgB0vmdj1/gUEVogpCfRAi1OdnhpWfcdbgi2rOSEaXmO\nS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import scipy.misc\n", "img = scipy.misc.face()\n", "plt.imshow(img)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The `plt.imshow()` method takes as input a *matrix* and renders it as an image. If the matrix is 3D, it considers this to be an image in RGB format (width, height, and 3 color dimensions) and uses that information to determine colors. If the matrix is only 2D, it will consider it to be grayscale." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "It doesn't even have be a \"true\" image. Often you want to look at a matrix that you're building, just to get a \"feel\" for the structure of it. `imshow()` is great for this as well." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AcOA7HA5YrVbU63XU63VG/nu9HkqlEur1OrNE/X6fP+tEIsFaeolEgidPniAW\ni+HNN9/ErVu3EI/HcXx8DKlUirm5Oeb/DQYDLi4u0Ov1OPCpUiG2CQBWVlbw/e9/H91ul/0NhGvI\nZDK02218/vnn+PDDDxnspVbG4XDgvffew8rKCmw2G95++23cv38fx8fHkEgk3OfTwWA0GqHRaF76\nb4vFgn/4h3/4yph8JYFPgg7i5SuVCpf1lGFIiJFIJBi8IJCqXq+zmEYsFnPPTX+kXq/HZDKBRCKB\nyWRCIpFgQIYAHzr94/E4KwBJuXdycoJyuQyRSIRsNotPPvkEdrsdJpMJUqkUgUAAgiDA7XZjOp1C\npVLB6/Vyud3pdHB5eYler8f9ZCaTgUajYYWgzWZDOBxGMBjE2dkZkskkTCYTA0F6vZ41DmTKuHHj\nBiQSCSaTCTQaDTqdDoAXugir1Qqv1wuNRsPcO1Fy9H+73S5yuRz/PJvNxtwyZQZS92k0Gtb+h0Ih\n9Pt9FtmMx2Pk83kGpUajEex2O4uhstksgBeAHGVzt9vNBiqquEwmE27dusXKSbFYDLPZjFqthul0\nCr/fj8lkgnQ6jd3dXXS7Xfh8PkwmE1xcXAB4IQZrNpuoVqvY3d3FG2+8wX+XIAjIZDIs5iGa1+l0\nwmq1MvVGIDKV0jKZjDGho6MjJJNJqFQqqNVqVstRy2k2m6HVahl8TiQSXJGQHoLavl6vx5JaAAzo\n9no9dLtdmEwm/NVf/RUfWuR/IIoumUyy5sBgMCAYDMJkMsHn8wEAyuUyJpMJ4vE441ytVgvBYBDL\ny8tfG5OvJPD9fj8EQUAul0OhUEC5XGYARCqV4ubNm5BIJIxAh0IhWCwW9Pt9iMVitFotNpgQzef1\nejE3Nwe73c6oqUwmw3Q6xcXFBY6OjiCTyWC1Wtmt1Ol0cHV1xT2tUqlEJpNhUQvRUycnJ3A6nbh5\n8yYrtvx+PwwGA5eTPp8PSqUS/X4fnU4Hp6enOD09ZWGQVquF0WhkA4/b7cbq6iqCwSCSySSy2Sw0\nGg2DcWRkmkwmaLVa3OuSnp/+BpVKhbW1Ndb6E3Mhl8uRTqcRjUa54qCDLJfLYXl5mTewXq9np910\nOoXRaITT6cStW7dw584dyOVy1Ot15rrpmY6OjnhzLSwsYDabIZPJoFQqYTqdwuFwwGw2Q6PRQK1W\nYzQaIZ/PYzQasWnIarUy4k2CoEKhgOl0inA4jHa7zaIqt9sNv9+Pfr+Ps7Mz2Gw2vPXWW8jlcvjl\nL3+J/f1DLC0OAAAgAElEQVR9mM1mLC0t8YEUi8Xw6aefot1uw+VyMUUaCoXQaDRQr9e5pUwmk+j1\nemzysVqtePz4MWKxGN5++2188MEHbCIinYXf72dh0WAwwOXlJYN8dCgQeFev1xnxn0wm6HQ6yOVy\nTL1ub29ja2sLsVgMl5eXKBQK7LMg05XVauU9sri4iGAwiNXVVbTbbTx58oR9HgS4FotFbG9v/29j\n8pUEPp20hEAuLS2x7t1gMEAmk7EWfHNzk4083W6XS2kS+eh0Omg0GrjdbgSDQTYnkFqqXq/j6uoK\nlUoFarWaFVvUX5GJQiqVcqtAm4p0AMViEYIgMOdLWdRsNsNsNqPf78NqtXIPX61WWY0nlUphtVr5\nuWgDNBoN9Pt9AIBGo+GKgqjHcrmM0WgEsVjMB5bFYoEgCAgGg8jn8+xQI1UX9felUokpKtJoUxna\narXQ6/UYeVcqlfz30+ZVq9UsxSX79OXlJYxGIzY2NliUQsYhck9ms1nI5XKMx2MAL9x1lGlJpiyX\ny1msolQqoVQqueIiY1Sv1+O9Qf0wPXutVmMGRywWo16vo1AoMKB7eXmJ58+f82FjMpnYykuehoWF\nBaa4yBbrcDhYw9BoNFgMZTKZoFQq+aCnfdJoNBhQo/dPzFCtVkO73WZPhEwmQzqdxmeffQaPxwOP\nx8PagX6/z4ay0WiEZDKJRqPBWA5pMEisRS5Bt9vNiYASaC6XQ71eZwkytRz9fh/Hx8dfG5OvDNVX\nqVQwm80IBALY3NxkZ5LdbmcK5/bt2wiFQtz/Ue9JfWGpVGKVk91uZycdBSPx9aVSiSWQRK/VajUs\nLy/j/fffRzAYxGg0QqFQwCeffILLy0tIpVLYbDYAYLCFqKBHjx5hf38fi4uLTFFRFpDL5RgOh7i6\nukI2m8Xm5iY2NzchFosxnU5ZsFKtVhEKhfjvXVtbg8vlwtzcHLLZLGKxGPu5ZTIZZxWPxwO/34/h\ncIjDw0M0Gg1GuYmrPz8/Z134wsIC22Lr9Tqj2oQk0zNbrVb2qVOJDrwI3uPjY9y7d4/ZFpfLBbVa\nzQYgqkCy2SzsdjtTWslkEldXV5x9VSoVszAKhYLbHmJK6EAgO/NsNoNer2ew99e//jU++eQTfO97\n38OtW7dQrVaxt7eHaDTKkulYLIbJZMKfO81+OD4+xu7uLq6urpBKpeByufD48WMGi9fW1tjUkkwm\n+RDa2trC5uYml+8EuFUqFezv7yORSCAUCiEUCmE0GqFUKqHT6eDi4oJZHrlcjrOzM3z++efY2dlh\nRyf5IBYXF6HVanF6eord3V0oFAoolUpYrVY4nU7o9Xqu/gqFAkqlEovZHj9+jF//+teIxWKsg3G5\nXCyZJjk7yce/ar2SwCcxCNlrSWxBZpzrQwmo39RoNAzKEB5AXCgNhiDOn5Bs6pNIp000HL1Uh8PB\nbjoCqoxGI4NHIpGIpaQGgwEAGHc4Pj6GTCaD0WiEVCrlUpakm1TOqlQq9lfT84rFYnQ6HXbbNRoN\nLnfJ7UemHpKTEtJPzi+S19LvpsxIFBGBg36/H1KplIeQWK1WNJtNroroMyFTEvXFhUIB9XodJycn\nODs7Y0yF9AFWq5XpTQDMkxPIRLZpktPWajW43W7Y7XYGs2q1GvR6PTMeROGSlmM2m3GlQuwAtRKk\nKmw2m9xWEHX27Nkz6HQ6uFwuiEQi7s3tdjvq9TqDotlsFslkkkFQq9UKs9mMTqfDQUelNIlmCAvK\n5XI4PT3FxcUFdDodlpaWeG+ToEipVPIeosoklUohGo1iNpuh2WzyjAdiVzKZDMu8ydlJTjxqc6fT\nKUQiEaRSKVqtFmKxGLLZLLdOVDlS1dbv99m/8lXrlQS+xWJhcIhK6nA4jMXFRcxmM8RiMZZBdjod\nBINBBAIBDmRCcGezGZ49e8YyztFohFAohGAwCADsm6ZNHAwGma+Nx+OYm5uDTCZDv99nOaXP58M7\n77zDmcdoNCIcDkMqlb5kb1WpVBx45LSjUrNSqUAqlTLvG41Gua8k9VyhUECj0cD+/j7/rWQUIQPI\nwsICc8SUEYnCm06niEQiTHeJRCLWvxOIpNVq4fV6YTKZOCtT9UIuRKVSyZveaDRiOp2yhJmm0JDS\nkCbguFwuztykQKT2jMw/vV4PJpMJVqsV0WgUw+GQD3DqhRuNBs81uB7wwAt6SiaTIZ/PY3d3F9Fo\nFK1Wiw0zv/zlL2G1WuHxeHiqTrPZxJdffolnz55hf3+fDybCYTY3NzmBkFafaOFsNst/58LCAtbX\n11njcXl5yYcEfa6k5e/3+6xepPaFNAiCIHCVqdVqWZ799OlT1qD0ej3cu3cPw+EQCoWCBWMA2H6c\ny+UQDofZBdlutxGNRrkFE4vFWFxcxM7ODtuDCVTO5XLweDz43ve+h3/5l3/5yph8JYFvMBhwfn6O\nw8NDmEwmzpoLCwu8KaLRKIrFIpedZHlNJBJYWlrC2toaZ+VarYZ8Ps+js4jSms1mjJx2Oh0e60VU\nl8vlwmw2Y1WVSCRiUKZSqaBarcJsNmN+fh6z2QzZbJbFFcQeaLVarmCy2Syurq7Q6/V4kspwOEQq\nlYLJZIJIJOJA6XQ6aLVajPiT80ssFmNrawtra2u8Ca5bk5PJJLcAfr+fTTyUNQg3UCgULBsmhR19\nXSKR4NGjRzw+ir7XaDQyNtLr9VAsFhGLxbhqoWqI1H4kgyaKTaPRsN+g1WrB6/UyA0IHAUlhSbhj\nNBpZ2ENmFkL46TmePHnCE4qWlpbQarWwv7/PdKjf74dGo0G1WsX+/j7y+TxUKhWDv9PpFPPz81hc\nXITL5cL+/j4j39RDZ7NZbi2MRiOWl5cRiUSQy+WQyWSQSqWQTCZ5/9L7I2kyVXeEUVFCaTQa6Ha7\n7Ps/OzvDyckJKxlJLVipVLC9vc0aBvIBkO+B1Jek9qP30263YTQaEQwGcffuXfh8Puzu7rJpjVra\nW7dufW1MvpLAJ46YVGBOpxPtdhu7u7sYDAbI5XKYTCYIBAJc6lPZQ1mBMsh1UwOdokSfXEfJqUSi\n0zcSiUAsFrOyj76PkF56qcS3qlQqzojdbhdSqRSLi4sIh8MvbXan08n6+sPDQ1bynZycIJ1Oo9Vq\nIZvNYjAYwGq18gYdDAawWCxwOBwIBoPweDwQi8V4/vw52y5nsxkHhd1uh8FgYMyDPNg0h44OMsoY\nVGFQb0+TWSaTCbdLFJSko3e73dje3uaWJJfLsUGHvPw2mw12u50VitRSTCYTmEwmLC0twWQyYXl5\nGYVCAYVCgd11BoOB2yqJRMI6e7lcjk6ng2q1ypnZ4XBgc3MT7777LldMAHB2doZsNguz2cxUIh0y\na2trDG7q9XpG+Z88eYJHjx5xgAIvRGSEOZGphhR8IpGI31W9XmfTDH2Gw+EQ/X4fRqMRa2triMfj\niEajqFarTOsRgEkVACkqZTIZnE4nW8QdDgfrS0gIZLVaWYsPgAfO+Hw+nnSkVCohkUh4sEqn0+GB\nJy6XC/V6/Wtj8pUFPo13UqvVcDqd6HQ6HPiTyQQWiwWBQAALCwtsgvh/Br5arcYbb7yBpaUlFspQ\nBiZpKgV0tVrFZDJBs9nkzVosFnF5eQmNRsPAGk33oSk8JLigEo6EMyqViufzZTIZPqxWV1chkUjw\n8OFDHB0dYX5+HiqVCul0Gul0Gt1uF7PZDCaTiTOyIAjchxFvTsjv4eEhfvGLX/ApHwqFMD8/D4VC\nAeDFhiUdRCAQYNpPJpMxdXd5eYnT01Mkk0lGhylTUuA3m03odDr0ej2mAbe3t/GTn/wEv/vd75DN\nZpHNZjlYqKV56623YLPZ2B1JdlRC5ZeXl7G8vAxBEPDJJ5/go48+wmQygVar5cCn/v56r09mn1qt\nxoDi5uYmPvjgA8TjccZZDg4OWDAlCAKX7CaTCevr6zAYDKyFIH3F48eP8cknnzAFTHJlGizq8XhY\nW0Ez92w2G+RyORKJBLLZLAqFAtOfNOPAZDLB4/Gg3+/j4cOHyGQy8Pv9XNFeD3zaQ1S+a7VabqVo\nCKpUKoXBYGDVIgX+eDyGx+PBnTt3GCsgliGXyzGQvbS0hO3tbW7fvm69ksCPxWIQiUQIhUJYX1/H\nm2++iVQqhbOzMwbTtFotWq0Wnj59CrPZDI/Hw97nXC6H3/72t/B4POzWu7q6wtOnT3kuG21ouVyO\n7e1thMNhAMDV1RX3tqSsIs81ATpEv3m9XnanlctldleR4qpSqbCQZH19HZPJhMt4GjDhdruxtrbG\nLQeZZKg0JiSdDkCilQ4ODrjd0Gq1cLlcHJiJRILlwTRgw2QyMfVIc+qIow8Gg7BYLCzkqVarcLlc\nXJ2Q3Zd0FHq9no1EGo0GPp8Pt27dQqfTgdFoRLfbRSqVYj08iUrI6Xjjxg0WIJ2dnbFQq1wuswCI\nwCkSvlBZC4CzrMlkgtvtZszn6OgI//Vf/8XiGZJdkxpPKpXCbrfjvffew3A4xC9+8QtGtm02Gzwe\nD1wuF4xGI1d9Ozs7fPDKZDKmY2mYJiUS6psnkwncbjej8GQAOzo6QiQSYWMTgY2E6jebTd53t27d\nYpERSbMBME4kCAIDkaRJCQQCsFqtCIfD0Ol0qNfr+Pd//3e4XC4+XGigybNnz5BOp+H1elGv19Hp\ndFAsFr82Jl9J4NMYbQr8nZ0d5jr1ej1u3rwJqVSKL774Aufn53jrrbewubnJ7q1MJoPDw0M4nU78\n4Ac/gE6nQzQaxa9+9StIJBLujVutFpsnpFIpdnd3WbJ7fVQ3gWIajQbf+ta38P777/PYLRqYUC6X\nkUql0Gg0WONNGnS1Wo2NjQ1G00nCqtFoMDc3h/X1dR4YQaAYleHlcpkRaDoQCJkmflqv1yMcDiMc\nDuPBgwc4OTnhKiMSieCNN96A0+nkwO92uywdpbFNOp0Os9kMFxcXzMmbTCZ2MBIQZTabOcuQGtHn\n8zEPLxKJePAmDeSgoRsajYZ1/YT6Hx8fsymKxnRTqyGVSrlFSyQSPIxyMpnA4/FgcXGRZcjdbpf7\n942NDWxsbDCnTlSlWq1GJBJBKBTC48eP8bOf/Ywp0Js3b8Ln88Hj8cBisUCv12N5eRnf+ta3GFlP\nJBLc/3c6Ha48B4MB4vE4nj59Crfbjffeew+RSIT19s1mE0dHR7Db7dBqtRz4/X6fA79QKCCZTGJ1\ndZXxKWKXCP0nm+/GxgbW19cxGAyQz+cZT6GRYG63Gx9++CE+/PBDNga5XC6WT4/HY6TTaRQKBZ7m\nk0gk/vyBr9VqMZvNeDAhTUUh1FmpVLIzjAQiNJSS7KK0ca9nYwDI5/N4+vQpT7yhrEobpFAo8MYm\n7zcAzlY0uplENY1GgwU7hUKBKRgyfxCmUK/X2YZKVApRh6lUirOMXq9nHztN7iHqjrzW1WqVBSc0\nTox+B6G69HPoZ5F2nug2APx85Ii7znCQAISm0dBcO4PBAKVSybRctVplfEQikXDPSuU7gX4kqKJM\nTDgHWUJpVLXb7WYhTrlcRiKRQKfTQTab5WxLpSppN3Q6HZxOJ7vraCgK0XoSiYSnFZFppt1ucxbv\n9XpoNBrIZrM8d+Du3bsIhULctxNwTBN+SHFIoLJIJML8/DyUSiWy2SyDjz6fjytBKvmB/zUNiaSz\n5GaUSCTI5XIstqIKEADPwFer1Zibm+O5hzRzgQDJ6xOfaH/Q2HVC+ZeWlqBWq1GpVDAajXhk+Vet\nVxL4Pp+PB17SiKher8cZmvTdJCu9uLjARx99xPQQjdAmQ0smk8FsNoPL5UKlUsGnn36KcDiMjY0N\nqFQqLumz2SzK5TJbUsk8QjP+lEol01iLi4s8Mpm4WZrDRocVTVk9ODjAs2fPIBKJuBQzGo3Q6XQo\nlUp48OABHA4HXC4XhsMhS4lp5h6BbKQBoN9FiLtSqeTsT1r765JNkrkmk0mk02l2uvl8PlgsFr6U\n4uzsjIGflZUVhMNhBk4HgwFsNhuj0pRNqQ1oNBqQSCTM97/55pvY2NjgwE+lUiyeIbMP6TEo0xJF\nd3l5iW63ywF+/Rmy2SzOz89ZjkxCFHIeEr5DQhyqiDY3N+Hz+XB8fIzDw0O0221mPKhcj0ajqNfr\nPOKLQN+DgwM8ePAAtVoNMpmM3aMej4erlfn5eezs7CCTyeCzzz5DpVLhz58qt9lshlqtxuW7SqXi\n9uDu3bu4c+cOfvOb3+Cjjz5i3Ig8AFR1GI1GOBwO+Hw+RvJrtRrq9Tr29vZYWl0oFPjgl8vlKJVK\n+PTTT3F+fg6bzYb333+fRUIGgwF+v//PH/hWq5WzKA1+nEwmLPekCyBGoxHPjyODApVuxP8mk0me\nc0eXGFD2JMSeMkyv1+MR0HQaG41GRpIJXaYNS466675/UpRRP+xwOBCLxdDr9ZjLJrkoZT4qB8lj\nbbPZGMSiw4su0KDpOfR7SM0GvADyDAYDXC4X96smk4mrgVKpxGYf6vmvzy8sFov8M4nhIEstDXXU\narXcb9OmJPEMPRNVW4TMU98fj8eZ0wbAN8SEQiH4/X4WVdH8QxoN3ul0YDAYYLPZeH483U6kVqs5\nW1KLdp3hoT1CUlYycBkMBiwsLLAAiuitRqOBGzdu8Fz+VqvFVcZoNGLzEl1eQj+bSvhWq8UlPmVr\nUjtmMhkoFApmrCiREAPl8/m4WqW9QJUuVb/UctF+JcqUREzU4lEL1O/3+aBMJBKo1+u8N+jAIDXr\n161XVuobjUZWt9EcdJfLhXa7zRNpro+kIo6UJvAIgsBGnOuWTdLPV6tVPHnyhKklslO+++67XL7R\nzT30gkjCqlar2QVIumiyndL8touLC3g8HlZmkfeeREGE4trtdu5rKQjJYx2JRODxeJieohaCxkAR\nDkGHolwuZ86f+nYy39DoL/pMlUolAHD2lcvlcDqd7C4bj8f47W9/y5QlDZCQy+WIRqPY39/Hzs4O\n7ty5wwg7BRn50GmKEplvMpkMW3NpOGkymUQoFOJBKGdnZ3zbkF6v54Dzer1YXFzk0VQUFEqlkg0z\n1zEZYjnOz89Rq9VwcHDAU23L5TJCoRBu3brF03LoXbZaLU4aNHJbrVYjHA7zqGuRSISjoyNcXV3B\n7/djZWUFGo0G6XQa/X4fS0tL8Hg8UCqVKJVKSKfTuLy85DmRNLabDlRqa1OpFHw+H/7u7/4Os9ns\npeGrJGiiCoT2AGX25eVlWCwWHulOfoVUKoVEIsFAKYm+KOCp9yeF5Z818KlPJ9MMzcGTy+V80pMC\nbTQasVmCei4SzFwfFEnUB4lGDg4O8OjRI8RiMbZ7Li8vY2Njg6kpClo6sUlmSQKgQqHA0liz2cwc\neD6fx9XVFRYXF1GtVrl8JwCPPAUkbiEelcp1GvxIWY5QcbLlEq9PDALNXSPAkEBAnU7HU12oeqCf\nS+ox8ixQINEU27OzM5yfn7903RhlmFQqhdPTU2xsbMBsNiOTyXD/SocxzfQbDAZot9tMcZHOgGhR\namFoAlEul4NcLmdzFR1WVEXQ7TNisZhlzjSCi7T9hB1cP9xoZFc+n+eW0e12s6Cp0+nwdB8SxZAY\nhnwZJKppt9v4+OOP2Z8QCoXYSTedTuHxeHjWI9F64/H4pauw6D1dV3yenZ3B5/Ph5s2b3Nen0+mX\n5k7WajXEYjHGDFqtFg8nIZ1FsVjkFosUsAaDge9boBkDDocDfr+fsZ2vW68k8MfjMSKRCMxmM5ex\n2WwWT548gVwuRyQSgV6vZ2CJMiGhxJSlSJ0nFotZ5krTViwWCzY3N+F2uzGZTNhGeV1/T5w2XVxw\nfQwSzVEnUQnNsqOvJxIJvvUkn88jGo1CEARcXV1BoVCg0WjA7XZDIpHw1NtYLAaj0QgAbNGkisVs\nNrMbi14ciZBI2knOwFQqBbfbzRdlVKtVvjRxYWGBWw2qisgGTDcXOZ1OvguQDiLqEYEXevP19XXY\n7XY+vILBIF/TRNJcmotIAGar1UIqlcLnn3/O/nyfz4fBYICHDx/CYDDg1q1bKJfLTIPSxON0Oo2f\n/vSn0Gq1fJHKdDpFo9HAZ599xoAb8d6EpBeLReb5rVYrB0s2m8UXX3wBkUgEr9cLu93OrEQ+n8cn\nn3zCwUPCn/F4zJZx0pqQa5GcoVR1kMuy0+kgHA7j7t277BCk90otXKvVwvn5OfL5PNxuN9xuNzsf\npVIpgsEgDAYDPv/8c5ZjExVNMUKKzWq1ygYeGgUfiUQYdCXzE71fmlq9u7v7tTH5SgJ/MplgcXER\nN2/eRDqdRiqVQjabxd7eHo+4WllZQTabRalU4mCMxWI4Pz9n2qPb7XIPuLOzg8XFRQ58s9mMzc1N\nvnQTeHEYUOCrVCoWrhC6StmKTmi68oj+f2SKoMCnA4JKYTqltVotlpeXWepbrVZ5wCTRhCQokslk\nWF9fh8fjYUCQjCfAi7aINOvXA/+6sYQOwPn5eabRSPNQrVZfmtJCE2oo6yYSCVxeXvLFDIPBgB1p\ndrsdwAuEmi7jpMMzmUwy+0DzAWm8eCqVwvz8PH70ox/h1q1b+NWvfoVPP/0U3/zmN3Hr1i08f/4c\nH374IQaDAe7evYsbN27g2bNn+Od//mf88Ic/xDvvvAMAyGQyODg4wL179xCLxRAKhRAIBJihyGaz\nKBaLcLvdcLlcCAaD/PvpJqNIJIKNjQ1oNBoe2EEzBLe2tl5S/BHTQtgMVUNarZbv1CNV6Gg0Qq1W\nQ6fTwZ07d/Ctb30LyWQSsVgMlUqFsSWqiKgyIKqPxsctLCzgxo0bWF9f5+R3PfBpLkM6neben5IY\nDeKQy+Vs8iGaFABrK3K5HL788suvjclXEvgrKyt8DTT1rzSnTqvVMphEFzrS6UsnPU2woWxEV2h9\n+eWXfKLSh0dCFrVazYMw6MTu9/t8+QBN8fV4PBwcHo+H1WOVSoVLdbVajZWVFf7AqZWgdoB6fhIJ\nkTgG+F/e+4WFBQ7qUqmEf/3Xf+XKhn632WxmZRuNeiKbay6Xw/PnzxGPx/myz9XVVZhMJqb1CKQT\ni8WsPKMSl/5Np1MoFArMzc3B4XDwyHDgBTU6GAy4pCff+GAwwNXVFZ48ecJlN/X/FouFVZDdbhd7\ne3s4OztDKpXC1dUVLi4uIAgCbt++DZFIxDy5y+XC3bt30ev18POf/5xt1qurq3xrELnn4r+/P5DG\nYZPykgaYOhwOlhV7PB7Mz8+zsUalUvFnQxLnTCbz33wOND+h2WzyiDK6+UmtVvN7MhgM0Ol0AMBz\nCejqL5LxqlQqbgtIDyGTyeD//YDQaDTKBqG/+Zu/eYkepOQQCoVgNBp5vzqdTh6dTTdBn56eotVq\n8Zz9eDyOe/fuodlsIhKJ4IsvvvjKmHxlgU8zzOiebwp8QpGvX3l9vWS6bgsl2adcLkcul8PFxQW/\nfOI2qZSmF2mxWBgZppt4rlM/JBxxu908DTYWi7E+u1Qq8U2uxLmTnJconOs6dDo4SGdAVzotLCzw\nVOCf/vSn+Ld/+zeuLnZ2dvDDH/4QoVCI77EjpyCxEXShglQq5UEhFouFe1SaQUAXepIdlpBe8kvQ\nwev1euF0OpmComwej8dZl0CaAKLTvvzyS5ZQE+1oNpuxtrbG469JLpxKpVjD7vF4cPv2bf68+v0+\nB/6jR4/w2WefYWNjA16vF8vLy1hZWXlpRNje3h4mkwkqlQrrKVwuF5aWlmCz2RCJRNihR4NSCUgU\ni8VIp9PssCQa93p7RUAutRX7+/t8ky/hMjQvny6rBMDjsynwqUKi6Ug0lIT2pf/3l47eu3cPiUQC\nm5ubuHPnDjsn6TowqVSK5eVlrK6uvtRmUJtFAqNHjx6h2Wwy23Pv3j38x3/8Bzv3vm69siu0iEIj\nvTrdkU5/SLlc5gsVyuUystks2u02I+6kGb9+6QLRV2KxmBFRknQSjUScOdFsNOiC+snj42NkMhmW\nXo7HYyQSCbYDU2anYRLExRKoRsKP6yg70TQkQyWpKQCWmdJtOyTCePr0Kc+yIwZkPB7DZDLhzp07\nrA4kcIqGhESjUc4CdGCSgUOpVPL3U7lME29oUgw5IenK5et3HBDgSDP9d3Z22MRE3gtBEPhgoSCg\nCo384gQ8drtdXFxcsDSWRlVdv3iSLuEQiUQMVJI0mmgxogaprYrH42xKIiyGZOAECJJqjrAiAFxV\nksyZqkV6zw6HAwaDga9Bp76dqLbz83NcXl6ybJreC1UbdA08UWtHR0dMB9JIs1QqxerUSqXCzAk9\nLz1nqVTC5eUlVCoV30+4tLTEZpxEIsFVBDlevzYe/4fj+w8uusGTzDLkSBIEgS9E6PV6cLvdLMA5\nPz/nUUrUi9FGIwCODhPq3/P5PCqVCmvWKfOSBZSEFjShN5fL4enTp6hWq/j2t7+Nb3/726hWq3j2\n7Bm63S6LRIhi02g0nDHoEgQaE05iHDKr6HQ65vjpkGk0Ggzu/OAHP8AXX3zBIp3PP/8cuVwO6+vr\n7Lbr9/uwWCz467/+a3Q6Hbb0UvYjW+p1RR9hBaQRIDUcIeDXB34Ui0Xo9XqeS0eTjw4PD/H48WMk\nk0kkEgm2gZKghW7DIbHK1dUVByIN71xYWGA3o0Kh4Ms5Pv/8c0SjUdy5cwd37tyB2WyG1+tlrwax\nL8TgkB6ChlUoFApmUprNJk5PT3Hv3j1+HrrnMBwO4/bt29BqtUwJ0uUWnU6HJyRVq1W+d54ssvV6\nnStGwoeSySQePHiABw8eIJ1Os3sxnU4z6Efj3gmcpUswiLb89NNPodFo8MYbbyASiSCRSODevXsv\nsU50J0KxWOQLRwHg5OQEz58/Rzgc5srIZrOxJoEowaWlJRSLRTx69OhrY/KV3p1HNlgKSApk4rBp\nth5x+XT6Uukrl8t5GATNmHO73XA4HADA88b6/T4PySClGNEtNPONxETU/5H4hJR0ZA0NBAJMXV0X\n2tCzEodPm5ZeuEajYRklyYnpkkfKoITEN5tNJBIJli8TTy8Wi+F0OjE3N8cyWroqXCQSMV1GZhGy\nizekaDcAACAASURBVBYKBVbtUea4vLxkBoI86eQ9UKlUfEDQ1Bca6kBVSDAYxMLCAsufT05O+D3S\nBac0+57QZroUlXziRH+Vy2UeROFyubjXJlaHRDBEeQUCAfj9fhZcEWV4XcJK46rokKbZi3TwEnBJ\nNmGLxcKTishVR/gDZV7CaajcJimxRCJhsJYu6KQRbFR5KZVK1qHQFCSayTgejxm4I2yiWCzyxTH1\nep0voaHqh+Yq0nVtZN2lg42udqd2k8Z8f9V6JYGfSCSwuLgIpVKJ+/fv4/79+9BoNKy8o6zc7XaZ\nC76uAafg0el0sNlsTGu53W4sLi5ifn4eFouFxx1nMhnWdicSCb4UkWgVAFyakV3VZDKxnJi80/Qz\n2+024vE4D5EkbTwhsXK5HE+fPsXh4SFvvK2tLdy+fZt77VarhYuLC6RSKXao0cskaSpN9qEBIXNz\nc8xj08QgaltId1Aul/m+9fF4zFNqj46OAICfl4KIJh/RAElqj0iMYzAYGLWnqqLVamFtbQ3dbpc/\ne7oKq9/vw+FwQKvVAgBvTJ1OxzJluiOBBkyEQiHWM9B1W0R/5vN5bidodh+1R9fvBqTbcxwOB955\n5x1u6ShI6d4/mpmwvb3NNl5BEDA/P8+2Yvpd9PlTFm80Gjw/4rouhERV1DaSBbhcLiOZTKJWqzFY\n6XA4IJPJEAwGsba2xhOjT05OeFAL7QeSP+fzeVYf0mEqCAJLoelgbbVamM1msNlsUKlU/L7ICfp1\n65VN2aWe9fT0FL/4xS8QCARw48YNHlFNKisyM1CpqtfrWfVFk3ToIBiNRuy+opJMq9VysJA3nabo\n0KTW66ITmmZLvnu6bpnu6CMhDLECJN0kmyndi0bDHYmKDIfDsNls7NqiSbyXl5c8M48yHwUMAJb7\nkviErj8m+Wuz2WQUmDYaVRharRZyuZylnpRhiO4BwL5wKisJsCRPPekn6DCq1WoYDAY8voymxpKY\nSBAEnk5El3NQ+0V9P9GS3f+buTf9jfvOzwSfH1m8z2Kx7pNk8b5E8ZBJy5Zs2e1ut3uCBoKgk81i\nsvsPDDCLxczk/b6YvFnsvt1gk9kEAWa7k8CZTh9uW7FknRQlijdZZLF4VLFYVWSRxfus2hfS80wx\niTWLcaCkAAIWLVJ1fI/P5/k8x9GR2iOahRYXF6OmpgYbGxs6iI6OjnB6eqr3eX9/H4lEAqenp/qc\n9/f3hfD7fD59pvycaPBCQ1CPx4ONjQ1Eo1EZhPJmpayaRi3kaSwtLaG8vByB1+7P3/ve99Db24ux\nsTHFmFVVVak6YfvE9J3A6/AUOg+53W4lBm1sbMDhcMBms6nSoqsz2xKyMjm5oBqQVTInNqSvkxhE\nFeSbHm9l4weDQZyfnyMUCqkvZFRVLpeT9TAXDcs9l8uFGzduyO2VpJr8AE3DMJRLTvCQTrLs5Zmg\nS+Q/X3Xm8/kQCASuLBwAKkNra2vR1dWFiooKTE5OYmJiQgAlS2aSW6hW4xhteXlZHIR0Oo1cLger\n1aqJAY1BOU5iKg2jkKisIyjHSQc3K40gyTUoKSnB0NAQ3G43lpaWsLGxoZuQm6iqqkq9PY1FOAbk\nTZt/2B4dHV2hQ7/zzjvqnUdGRqQ54O3Jmfbu7q4qEcMw5F8XDAbhdrtxfn6OWCyGtbU1xX4XFhai\ns7NT0wyWuSsrKxgdHUV5eTmuXbuG6upqFBUVYXV1VW0RpdOUXCeTSRli5HI5VYKUJFutViUHc7Ox\nmuLXxcUF9vf3xV1gRcovisHIFaD3AVmchYWF0vVPTEzoJq6ursbt27cFVJO5uLq6irm5OZydnf0D\n4hQrQmb0ZbNZuQJRDMWWlfvon33j+/1+LC8vY3FxUb0HR2mHh4cIh8M64YqLizUGcblcGBgY0Ehu\nZ2cH0WgUBwcHegO54PJDB+kTx4XDA4FCDH6fz6GlpUVlJemshYWFsl9iNBFBEybHUp7KGe7l5atc\nMy6KSCQiS+ijoyONrJLJpIwt8g00nE4ngsEgfD4f4vE44vE4IpEIIpGILLI5OWCLwNcUj8fR0NCA\n3t5etT7UmRMpLywsFNW0pKREAFEkEpHTzMHBgZh7lZWVKvsZ6WUYhowpBgYGJHVeX1/XwsxkMigv\nL5cJBklVjNPq6enB9PQ0ZmZm8OLFCzx79gxWqxU9PT1oa2tDW1ubkmGLiorwx3/8x/j888/R3t6O\nW7duwWw2Y2lpSYlJxCFsNpskvNRHsLXjbU8yFKsCEm846WBlys+S3AGCgvluwGRAkj9PSTLFXeTm\nz83N6RBvbm7GT37yE4yMjAjboqHp5OSkZMgEjVn2AxDox4qI8nT29sS3WEm96fHf3PiGYXgA/D8A\n7ACyAP6vXC73fxqGYQbwnwH4AawA+J1cLpf5x37HV199pZ67qqoKd+7cURxw/jzVYrHA6XRK2OJ2\nu2WOwb52a2sLy8vLmJmZ0QfucDhwdHSkDL2Kigq0trZKykqSD09wJpQeHh7C7XZLhkr9PpNwWC4t\nLCxgcXERZWVl+NGPfiS5MPnbANDW1qaQhfX1daTTadExuRA2NjZECBoaGsLGxoZ6foo8dnZ2pFhM\nJBIaFfFgoUlHfX29POp8Ph8Mw8DS0hLGxsZEIOJByqDIbDYrkPTo6Ajj4+MAIOWk1+vFhx9+KGYb\nI7Q7Ozs1eqUrMgMhaKvNKiYej6t/n5mZQTQalc9/VVUV1tbWcHl5qTQbjhspvGI09MzMDPr6+tDd\n3S1HoOLiYrHleKgFg0FhBjabDRMTE5icnMTOzs6V0bHT6VRYBu3YKyoq8P7772sMOjk5qQO3pqYG\nt27dUgY9jUUZu84qYHNzE8XFxapEePFQEcl5/OzsLB49eoSDgwNMT08DgMBmSoMrKyvR2NgoALek\npATBYBDNzc1qM6ljoSw7kUjI0ovVTy6Xw+bm5nfb+AAuAPzbXC730jCMSgDPDcP4AsD/BODLXC73\nR4Zh/DsA/wHAv//HfsHdu3fF9urv78f169fFUOMLYlw2pZUApIbjzJhinVAopJ6TIYfRaBRPnz5F\nSUkJPv74Y/T396O5uVmLnZ50dCg5Pj5Wn01J7+bmpkYrdrtdB8/CwgKePHmC4eFhfPjhhygvL0dh\nYSHW19eRSqUAAK2trSgvL8eXX36J+fl5odiU9xrGqzTg/f19vP/++7hx4waWlpZ0E5NWy5ETv8jc\n4q3Jjd/b2ys7Zhp4Li4u4smTJ8hkMnLbJfDGxc0Jyd7eHhYXF3WD8PD68MMPZWFOQwmn0ykjiGw2\ni3A4rOkHyTR0gaXdlNVqxezsLNbX1wXolZeX6z3j+I2sNo4+j4+PlX5MdyZufN6svL1NJhN6enrQ\n19enjb+2tibyDXtil8uFwcFBzfR56NfV1eGdd96BYRj44osv8PjxYx22t2/fVnVBCu7S0hL+7u/+\nTqU+nwdjtzs6OlRZ8gLo6urCtWvXcO/ePTEZZ2ZmkE6ndWmx5ayqqtLGJ+Dt8XiUDLS5uYnq6mo4\nHA6V/slkEn6/X1OiiooKtRvfaePncrlNAJuv//vAMIw5AB4AvwXg1uu/9p8AfP1tG58Ku3wfc5ad\nPDFJVsgP3CgrK5MElKdbJpNRBJTVakVrayscDgf29vYU1cwPibNwIuSkejIsg701ARKHwyElF2Od\nysrKlEt2cnIiwI29IXsxcsmJYZAUQkns8fExGhoacHR0hLKyMuEdLPUZrMiRIkt7IsdMm3G73bBY\nLCgtLRV1k1beLFUBCAMhYmy1WgXmsU9sbGyE1+u94oDD8Rhjt30+H4BXozaWoJ2dnRpHUVFIi3Ee\nmDw0iUzn06jZo1ONR2ERgykY93V8fCxQlOU7x7n0R/R4PCq/WYIzoJNtA0dc+Zl2nMgYhiESUWFh\noWy6Kisrsb29rdK9vLz8ihCmoKBAjEwaYywtLaGzsxNVVVVIp9OYnp4WUaeiogJWq1Vpzfkc+/Hx\ncclxSdKKx+N6/WSL2u127O3tYWJiQtoRs9mM3d3dK3yOvb09WK3W77bx8x+GYQQAXAPwBIA9l8sl\nXh8Im4Zh2L7t52w2m8Iu6EtH48FYLIaysjKNq05OTlBVVaVNcnBwgFAohLt37yKdTqOlpQWB177q\nvE1ra2txdHQEp9OpxBTenFtbW3j//fc1DuSHXFFRccUJlcqtVCqF09NTRKNR2VPHYjH1gvv7+yKJ\nUDedzWbxxRdf4MGDB5r322w2UVkJwtEH7+7du/jyyy9l/EFSCtlrBwcHACABEv/bbDbD7/fLV5/2\n17SI4niIi4RxXWVlZXLznZ6elp67v78fNpsNy8vLiMViAv6y2SxcLhdKSkrg9XpxcHCAsbExbGxs\n4ObNm7h586Ywl1AohPHxcRwdHaGtrU1ON6xyiHYTk6FpBKnNZFFSfkojDAZhJBIJ0b25mTmWLSsr\nk803SVXMD6ytrcXQ0JDYbQQ7WapTgr2/v4/KykrFltGs8+LiAgsLCzg9PcXAwID+TQLVlJWXlpZi\ndnYW33zzDcLhsMRUa2trGB0dhcfjQXd3N7LZrOb5ZHeSA8EILyrv6L2fSqVUFQwNDWFwcBCxWAxf\nffUV0um0ZM0bGxuYnZ29sidcLtc/zcZ/Xeb/DMC/eX3z5/7eX/n7f9ZjdnZW5TVVURyHmc1mNDQ0\naB66vLyskRirhHw/OrqgEGAjMkodNa2JyPnnyIyuOq9fC7LZrLAE5qPx3zs4OBDZhtx54gjT09Ma\nJdEtKJ9JZxiGvNF5y5LiyufO3pOmGaTjstSnmKW+vl6tSW1trUI7SCum9RZJRHt7eyrl+R6SdEIA\naWNjA6WlpfKGo4Y/H8nOLxNJpiFaTmIPJyAcizIVpqurS39mPiJ5CQT7SktLZSxCf7ytrS3s7++r\n4uO4b21tTem/3CwEGC0Wiyiz/H8MR+XNTFER3xtuvny86PLyEqWlpWhtbb0SjkHeQnV1tSpQagBY\nyXBdcczGz5Eb8OTkBCuvY9PoqU/gOd9+bHt7G1arVQg9Xz+lvJlMRtFZfA94YVAeTcMaHgDfeeMb\nhmF6ven/LJfLff762wnDMOy5XC5hGIYDwLf6+b7zzjvq54LBIOLx+JVM8f7+ftTX12Nqagqjo6NY\nXFzE06dP5eR6fn4uV5v8kU1hYaHGODU1Nejq6pLHPAMmTk5OtPALCws1cuKBYLfbZQ1GkQrljiSj\nBF7Hcm9ubuKrr77Sxj0+PsbY2JiqALLHCNZQ7js/P490Oq3boLKyEj/+8Y/x7NkzPHnyBKenp6is\nfBUcyhl+R0cH+vv7lTJE/IMeBbOzs5oaFBQUiIaaz77b29tDc3MzgsGglITcdCsrK/jmm29kxsH3\nsrm5WeQdsijpDX92doaJiQklvvKmtNlsV0A09sA2mw1+v1/W1kykYTptXV2dVJC0xCorK4PH44HX\n673COW9qahIJivwNGqhyIwKvkO/A62jtUCiExcVF3eJOp1MbIplMYm9vD8+fP8fW1hbcbjeGh4c1\n+6f1Ou3XWZlwVh6JRDSyMwwD169fR319PYLBIMxmMzo7O8VHCYVCOuCdTqeYllTwkX/Bg5OX4f7+\nvpimS0tL+Pzzz2WuQvEUL9SzszMEg0FhGYZh4N69e99t4wP4vwHM5nK5/yPve38D4A8A/EcA/xrA\n5//IzwGAZrS0jmLvTTKJ3+9HeXk5IpGICCqk+ZLqS305F3c+S4vJrDwciFqTHkwAhTdWOBzG6uoq\njo+P0d7eroOCIg6WcKenp7qNzWazssjdbrdOc8YcM+abvebl5aWQ8fn5eUV+sQTt6upSRDd54bW1\ntbrxadLBCQLFHhwdUhHGcebx8bFKVVpAMWDEZrMpMefk5ESoMOWzHIV2dHSgqKhIkxRiHQQYSXCh\nvXZVVRUCgQA6OjrEPaCMmlUViVDUYbB6YJXG1oublqNNjk8J8tntdo0b6QPA4BK2LrxIGhoasL29\njYmJCaRSKfh8PvklNjU1SUVIZPzs7EzgICsQBqxyzfLwY8+dz63w+Xzo7u6G1+tFeXk5zs/P1W6R\nlku5eVlZGdxut6TDdOYpKChAQ0MD/H6/QNnT01NhP6FQCDMzMwgEAmhvb0dhYSGWl5exv78PAAL2\niOmQEPbfvfENw3gXwP8AYMowjHG8Kun/8PWG/38Nw/ifAawC+J1v+x3hcFhSzoKCAjidTszOzmJ0\ndBQOhwMffPABvF4vrl+/fqVM5ciEHzY3Acsohke+fp5XHG7Kysrg9XqRyWSUZb+9vY3p6Wn5tFGs\nQj90ltOlpaWIRqM6iMjuOjg40AImuLe5uQmTySQq7OzsLGZmZjAxMYFwOKxNyvKMQh/q7z/88ENU\nV1fLu48c+pWVFczMzFyRHBNzqKioQFdXF87Pz2W8QZ81lrN9fX1obW0VUYVzc7oRtbe36+BlG8UD\ntaKiQuNPgqpnZ2eor6+Xsefe3p4cftnDPn/+HMlkUjNsPiijppyVlQ8BM763NDAlA9DhcMDn8wlM\n8/l86Orqwv7+PtbW1vDixQsd4ozJJr2WZB2SnWisyQ2Z71V3dHSEpaUlWYL19PQInSebLpVKIRKJ\nIB6Py0GJoGg+QEiMibwHVg3Hx8fY2trSYcPo7HwFp8Ph0EHA1ovEK1YsDodDIS70AmBrdHx8jPv3\n76O3txdDQ0PfbePncrmHAL7t+Pjov/XzwCuDB/YrnGun02k8evQITU1NGBwcRCAQUG44b80nT54g\nFApdIddYLBb55BGFpksKFXv0qGNfzshhglGzs7PaiByLMJ2UJ39lZaUce5hFR+oned2cAFgsFjQ3\nN+P27dvIZDIYGxtTywBAwNvp6SmKi4vR0NCAVCqlpBSyy8hLLy4uxt27d3H37l3NcWneWFVVBb/f\nj+bmZsTjcaUUESikLVlvby/6+vokDpmdncUvfvEL9Pb2Xpk20P6aHm2scBwOh3CLWCym6oGg4cLC\nAuLxuPIFT05OMDExgdHRUd2+ZEWWl5dLwMRYcz5X/iyj1DhqOz091cbPNyAtKyvD3Nwc/uqv/gpf\nf/21xozMjKOzEU1CCOilUim0t7drDTU0NOg9393d1aj13XffRVtbm9ZFJpNRmOj4+PiVQ2Z/f18H\nJsVkqVQKc3NzeP78OZ48eYKbN28iGAyK98BobK7VwsJC3dS03eI4O3/z09eB1R/X4OHhIRoaGkQA\n4mHzL8Jl97d+67cU8xuJRPDzn/8c29vb6Ovrg8lkwv379/H8+fP/+qRevynZ7KscdFpBkWvPG+zx\n48cqb9mPkmpLSysSMKhsYi9KFhy5ASyP6KrCloMuv6wyiCb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WlhZMTk5iZmYG165dw/Dw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I/v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\nHQ81jta8Xi+uXr0qT7n19XUZgc3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matrix = np.random.random((100, 100))\n", "plt.imshow(matrix, cmap = \"gray\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "We built a random matrix `matrix`, and as you can see it looks exactly like that: in fact, a lot like TV static (coincidence?...). The `cmap = \"gray\"` optional argument specifies the \"colormap\", of which matplotlib has quite a few, but this explicitly enforces the \"gray\" colormap, otherwise matplotlib will attempt to predict a color scheme." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Part 3: Customizing the look and feel" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "You may be thinking at this point: this is all cool, but my inner graphic designer cringed at how a few of these plots looked. Is there any way to make them look, well, \"nicer\"?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "There are, in fact, a couple things we can do to spiff things up a little, starting with how we can annotate the plots in various ways." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Axis labels and plot titles" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "You can add text along the axes and the top of the plot to give a little extra information about what, exactly, your plot is visualizing. For this you use the `plt.xlabel()`, `plt.ylabel()`, and `plt.title()` functions." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10, 50) # 50 evenly-spaced numbers from 0 to 10\n", "y = np.sin(x) # Compute the sine of each of these numbers.\n", "plt.plot(x, y)\n", "plt.xlabel(\"x\") # This goes on the x-axis.\n", "plt.ylabel(\"sin(x)\") # This goes on the y-axis.\n", "plt.title(\"Plot of sin(x)\") # This goes at the top, as the plot title." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Legends" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Going back to the idea of plotting multiple datasets on a single figure, it'd be nice to label them in addition to using colors to distinguish them. Luckily, we have legends we can use, but it takes a coordinated effort to use them effectively. Pay close attention:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Ql3rIyxOtpHhMyvgXuHzU4HZtULUBGlRtgP3XtDNUDgjgxl8jGy0pRlistkI8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\nB5OIjFMCafwVIC4uDrt27UJ2djZsbGx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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10, 50) # Evenly-spaced numbers from 0 to 10\n", "y1 = np.sin(x) # Compute the sine of each of these numbers.\n", "y2 = np.cos(x) # Compute the cosine of each number.\n", "\n", "plt.plot(x, y1, label = \"sin(x)\")\n", "plt.plot(x, y2, label = \"cos(x)\")\n", "plt.legend(loc = 0)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "First, you'll notice that the `plt.plot()` call changed a little with the inclusion of an optional argument: `label`. This string is the label that will show up in the legend." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Second, you'll also see a call to `plt.legend()`. This instructs matplotlib to show the legend on the plot. The `loc` argument specifies the location; \"0\" tells matplotlib to \"put the legend in the best possible spot, respecting where the graphics tend to be.\" This is usually the best option, but if you want to override this behavior and specify a particular location, the numbers 1-9 refer to different specific areas of the plot." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Axis limits" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This will *really* come in handy when you need to make multiple plots that span different datasets, but which you want to compare directly. We've seen how matplotlib scales the axes so the data you're plotting are visible, but if you're plotting the data in entirely separate figures, matplotlib may scale the figures differently. If you need set explicit axis limits:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "(-3, 3)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10, 50) # Evenly-spaced numbers from 0 to 10\n", "y = np.sin(x) # Compute the sine of each of these numbers.\n", "\n", "plt.plot(x, y)\n", "plt.xlim([-1, 11]) # Range from -1 to 11 on the x-axis.\n", "plt.ylim([-3, 3]) # Range from -3 to 3 on the y-axis." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This can potentially help center your visualizations, too." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Colors, markers, and colorbars" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Matplotlib has a default progression of colors it uses in plots--you may have noticed the first data you plot is always blue, followed by green. You're welcome to stick with this, or you can manually override the colors scheme in any plot using the optional argument `c` (for color)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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2RgL/AnwlOpBevAx8AfghSvxSfkr+UjlfAx4ApkUHsoT/wA+g3yc6EJFBUNlH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\n1UFTKiXNHT4AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10, 50) # Evenly-spaced numbers from 0 to 10\n", "y = np.sin(x) # Compute the sine of each of these numbers.\n", "\n", "plt.plot(x, y, c = \"cyan\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "If you're making scatter plots, it can be especially useful to specify the *type* of marker in addition to the color you want to use. This can really help differentiate multiple scatter plots that are combined on one figure." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X1 = np.random.normal(loc = [-1, -1], size = (10, 2))\n", "X2 = np.random.normal(loc = [1, 1], size = (10, 2))\n", "plt.scatter(X1[:, 0], X1[:, 1], c = \"black\", marker = \"v\")\n", "plt.scatter(X2[:, 0], X2[:, 1], c = \"yellow\", marker = \"o\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Finally, when you're rendering images, and especially matrices, it can help to have a colorbarthat shows the scale of colors you have in your image plot." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FQiEtl0tjEYAe7IfPdUV6dMhYLGahG/eAMJTPQetDyCesWq/X9txZlOih3HtCTl7farXs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matrix = np.random.normal(size = (100, 100))\n", "plt.imshow(matrix, cmap = \"gray\")\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The matrix is clearly still random, but the colorbar tells us the values in the picture range from around -3.5 or so to +4, giving us an idea of what's in our data." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### `seaborn`" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The truth is, there is *endless* freedom in matplotlib to customize the look and feel; you could spend a career digging through the documentation to master the ability to change edge colors, line thickness, and marker transparencies. At least in my opinion, there's a better way." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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i5FkSkJ5kRH2HQ/XrPUn5Jmdd6BqcQllOChLjOJFWCfxZUKfSq3LVBbm8tLYz\nPkaHkhyu7VSCxfWeZsw7Papf70nKV99hhwxeKChJrcqXoakuyPusMxifdqK62AStRnX/PNXaxOF1\nUgj/pKla3h9XjJQEI4rWJeF6/yRm5t2iywk61SWd/xsXvy0rS1luMuJjdLh6fRQ+Fa/3JGVbcHnQ\n3DOOHHM8MlJiRZdDq7Cp1ASfLKOhU33D66oL8rp2O3RaCZWFaaJLoVXQajSoLTFhYsaFnuFp0eUQ\n3VRT9xg8Xh+XtSpQrYp7VqgqyB2TC+izzWBDXipijdwkRWm4RzlFOv8mKZvLOOKnNOvS45CRGotr\nXWNwe7yiywkqVQV5XQdnqytZZWEaDHqNaiekkLJ5fT40dNqRmmhEviVRdDm0SpIkYXOpGU63Fy29\n46LLCSpVBjk3SVEmg16LjYXpGHbMYdgxK7ocog+53j+J2QUPakvZn0Kp/LPX/SMraqGaIJ9b8KC1\ndxz5lkSkJcWILofWyD9kyeF1ijTcJEX5SrKTkRinR32HXVWTalUT5Ne6HfD65OVvXKRM1cUmaCRJ\ndd+YSdlkWUZdux2xRi3W56WILofWSKORUFNswuSsC91DU6LLCRrVBDnvj6tDQqwe6/NS0D08hYkZ\np+hyiAAA/bYZ2CcXUF1sgk6rmo/NqPTBHuXquVhQxSvS4/WhocOBtCQjcjMSRJdDAfLPcWjodAiu\nhGgR2z6rR0VhGgw6dU2qVUWQdwxMYs7p4SYpKlFTsrgRRX2Her4xk7JdbbdDq5FQVcRNUpTOqNei\nsjANw445jIzNiS4nKFQR5FeX9x7nt2U1sKTGITMtDs0946pb70nK45hcQK91GuX57E+hFmrrva74\nIJdlGVfbRxFj0GJ9bqrocihIakrS4XR7uYkKCcf5N+pTU2KCJKnnPrnig3zIPgv75AKqitKh1yn+\nn0NLqosXPzTreZ+cBPNftbEtq3okxRlQkp2MzoFJTM26RJcTMMUnn//bMofV1aU0JxmxRu3ilpEq\nWu9JyuLfWjc/MxGpiUbR5VAQbSo1Q4Y65uIoPsivttuhkTgJRW10Wg02FqbDPrmAIYc6JqSQ8jT3\njMHrk1FTzM8XtfFf/KlhdYyig3xyxomuoSmU5SYjIVYvuhwKMv/s9QYVfGMmZarvWPyQZ9tn9clM\nW9pEpWcMbo9PdDkBUXSQ+++f8t6VOlUVpUOCOoa+SHl8soyGLgeS4g3Iz+QmKWpUXZwOp8uL6wPK\nnlSr6CCgrnm3AAAgAElEQVT3N2moLeGwlxolxhlQnJ2M9sFJzMy7RZdDUaZ3ZBpTsy5UF6VDw/4U\nqrTcfKpD2cPrig1yp9uLpp4xZJvikZEaJ7ocCpHq4nTIMnCtS9lvNFIe/0hQNe+Pq9b63BQYDVrU\ndyp71E+xQd7SMw63x8d7VyrHdq0kSkOnA1qNhMrCNNGlUIjotBpUFqTBNj6v6C5vig1y/zeoGg6r\nq1qOOR5pSUY0djng9Sl7Qgopx8SMEz0j0yjLTWE3N5Xzr0hQ8qRaRQa5LMto6HQgPkaH4nXJosuh\nEJKkxW0HZxc86BxUz7aDFNkal0aAuOxM/fy3TpTcfEqRQd5vm8H4tBNVRenQaDgJRe24iQqFm/9D\nnbfu1C85wYj8zERc75/AvNMjupw1UWSQ+++XchJKdNiQlwqDTqPob8ykHG6PD009Y7CkxsKSxom0\n0aCmOB1en4ym7jHRpayJYoNckoCN7OYWFQx6LSoK0jBkn4VtYl50OaRy1/sn4HR5l/v9k/r5R16U\nOntdcUE+M+9G59AkirPZzS2aVKtgQgopAyfSRp/8zEQkxRvQ2OmAT4F7OyguyBu7HJBlTkKJNstB\nzuF1CiFZltHQ4UCMQYuy3BTR5VCYaCQJ1UXpmJpzo3dkWnQ5q6a4IP/g/jiHvaJJWlIM8jIS0No3\njgWXMiekUOQbGZuDbWIelQVp0GkV9/FIAVieva7AUT9FvVK9Ph+udTmQmmhEjjledDkUZtUlJni8\nMpp7xkWXQiq1fKHAYfWoU1mYBq1GUuSkWkUFeefgFGYXPKgpTofE3sdRh8vQKNSW27JyIm3UiTXq\nUJabgt6RaUzMOEWXsyqKCnIOq0e3wqwkJMbp0aDQCSkU2eYWPGgfmERhViKSE4yiyyEBahQ6F0dh\nQW6HTqtBeX6q6FJIAP+ElMlZlyInpFBka+4Zg9cn80IhilUrdG8HxQS5Y3IBA6Oz2JC/uFsNRafl\n9Z4cXqcg425nlJkWB0tqLJp6xuD2KGdvB8UEeUOXv/cxvy1HM/+EFKV9Y6bI5pNlNHQ5kBxvQH5m\nouhySKDqYhOcLi+u90+ILmXFlBPk/LZM+GBCSo8CJ6RQ5OoensL0nBtVxenQcCJtVPOvWFBSlzdF\nBLnL7UVL7ziy0uNgTokVXQ4Jxj3KKdgaOjjiR4vW5y7evm3ocEBWyKRaRQR5a98EXB4f32QEgMvQ\nKPgaOh3QaiRUFHAibbTTaTXYWJAG28Q8RsbmRJezIooI8oZODqvTByypcbCkxaG5Zxxuj1d0OaRw\n49NO9FqnsT4vBbFGnehyKAIorSV0xAe5LMto6HQg1qhDSU6y6HIoQtQUp8Pp9qJNQRNSKDI1ciIt\nfQSDPMiGHHOwTy6gspC9j+kDH+yGpow3GkWu5WVnbMtKS5ITjCjITMT1/gnMLUT+3g4Rn4z+YXXu\ndkY3KstNQYxBu7wskWgt3B4vmnvGYUmLgyU1TnQ5FEGqi9Ph9clo7hkTXcptRX6QdzggAahi72O6\ngU6rQWVBGmzjypmQQpGnrW8CTreXFwr0McvNpxSwDC2ig3xm3o32gUkUZCUhKd4guhyKMFXLw+uR\n/0ajyOTf6YpBTh+Vn5mIpHgDGhWwt0NEB/nVNht8ssw3Gd3U8n1yDq/TGixOpLUjxqBFaW6K6HIo\nwvj3dpiac6NnOLL3dojoIL/UYgXASSh0cykJRuRbEtHWN4F5Z+RPSKHIMjI2h9GJBWzkRFq6BaX0\nrIjoV+/lViuS4w3Is7D3Md1c1dKElJbecdGlkMLUL614qOKIH91CRcHS3g4RPuoXlCA/deoU7r//\nfhw4cADPPvvsTR/zwx/+EPfddx8eeeQRtLS0rOh5J2dc7H1Mn+iD/YMj+xszRZ7lRlOcSEu34N/b\noTfC93YIOMh9Ph9+8IMf4LnnnsPrr7+Oo0ePorOz80OPOXnyJPr6+vD222/j+9//Pr73ve+t+Pl5\nf5w+SWFWEhJi9WjoVE5fZBJv3ulZnEibmYjkBKPociiC+efiNEZwc5iAg7yhoQH5+fnIzs6GXq/H\nwYMHcfz48Q895vjx4zh06BAAoKamBtPT07Dbb38FpdNKqChIC7REUjGNRkJVURomZlzot82ILocU\noql7DF6fzLbPdFtKmFQbcJBbrVZkZWUt/2yxWGCz2T70GJvNhszMzA89xmq13va5K4vS2fuYbqu6\n2L/eM3LfaBRZ/K03q9mWlW4jMy0OGSmxaOoeg8frE13OTUV0St5Zkw2zmRPdQk3p53jPHUb822tN\naOkdx5OPVIku56aUfo6VYKXn2OeT0dQzhpQEI+6oWgeNhnNwViMaX8vbNmbi9fe6YZt2oabULLqc\njwk4yC0WC4aGhpZ/tlqtyMjI+NBjMjIyMDIysvzzyMgILBbLbZ/7wPZ8jI5G9vo9pTObE1Vxjouz\nk9HWO46uXgcS4yKreZBaznEkW8057hmZwvi0E3duzITDwdsxqxGtr+WydUkAgFOX+7EuJSakx1rL\nF6WAh9arqqrQ19eHwcFBuFwuHD16FPv37//QY/bv349XXnkFAFBXV4ekpCSYTLcf0uI3ZVqp6uJ0\nyACudUd+X2QSy7/RTnUJh9VpZdbnpcCg10TsbmgBX5FrtVo888wzePLJJyHLMo4cOYLi4mK8+OKL\nkCQJjz32GPbs2YOTJ0/i3nvvRWxsLH70ox8Fo3aiZdXFJvzmZBcaOx3YWZl5+1+gqFXf6YBGklBZ\nkCq6FFIIvU6Livw01HXYYRufQ0aEbbATlHvku3fvxu7duz/0Z5///Oc/9PN3v/vdYByK6KZyzPFI\nTTSiscsBn0/maA7d1NSsCz3DUyjLTUFcjF50OaQg1cXpqOuwo6HTgXu2RlaQR3RnN6KVkiQJNcXp\nmF3woHNoUnQ5FKEauxyQwbbPtHrLy9AicHidQU6qURXBbzSKDFx2RmuVlhSDHHMCWvsm4HR5RZfz\nIQxyUo2K/MXNLxjkdDMerw/XuseQnhSDdemRNTRKylBTkg6P1xdxezswyEk1jAYtNuSloN82g/Hp\nyO2LTGJ0Dk5i3ulBdUk6JO7fQGtQVRSZezswyElVqriJCt2Cf6SG+zfQWhVnJyE+Rof6CNvbgUFO\nqhLJE1JIrIZOB/Q6DTbkcdkZrY1Wo8HGonSMTzsxMDorupxlDHJSFUtqHCxpcWjuGYfbE5l9kSn8\n7JPzGLTPojw/FQa9VnQ5pGDVETjqxyAn1akpTofT7cX1/gnRpVCEaFyerc5hdQrMxsI0SIisUT8G\nOamO/8O6PoK+MZNY9QxyCpLEOAOKspPQMTiJmXm36HIAMMhJhcpyU2A0aJevwii6udxetPaOI9sU\nD1NyrOhySAWqi02QZeBad2R8xjDISXV0Wg0qC9JgHZ+HdWxOdDkkWGvfBFwe3/KKBqJA+Vc+RMrF\nAoOcVImz18nPPymJy84oWHIzEpCSYEBj1xh8PvHL0BjkpEqR2riBwkuWZTR0OhBr1KE4O1l0OaQS\nkiShujgdM/NudA1PiS6HQU7qlJpoRJ4lAW39E1hweUSXQ4IMOeZgn1zAxsLF9r1EweLv1x8JFwt8\nZZNqVReb4PHKaOqOrL7IFD5cdkahUlGQCq1GQkOH+Nt3DHJSrZoSLkOLdg2ddkj44FYLUbDEGHRY\nn5eCvgjY24FBTqpVmJWEpDg9Gjod8EVQX2QKj7kFD9oHJlGQlYSkeIPockiF/MPrjV1ir8oZ5KRa\nGklCdbEJU7Mu9AxPiy6Hwqy5Zwxen8zZ6hQy/tdWfYfYUT8GOalaTcniN2bRbzQKP/8tFa4fp1Cx\npMXBkhorfG8HBjmpWmVhKnRaiUEeZXyyjMauMSTFG5CfmSi6HFKxKv/eDgPi9nZgkJOqxRh02JCX\nij7bDMamFkSXQ2HSPTyFqVkXqovSoZEk0eWQitUUix/1Y5CT6i0Pr7PLW9Twf6jWlpoEV0Jq59/b\noaHDAVnQpFoGOalepExIofCpa3cs99wnCiW9ToONhWmwTcxj2CFmbwcGOameKSUW2eZ4NPeMw+ny\nii6HQsw+OY+B0RmU56fCaNCKLoeiQO3SqF+doIsFBjlFhdoSEzxeH5p7x0SXQiFWv9Rpi8PqFC7V\nxemQJAY5UUh9sAyN98nVzv9hyvXjFC6JcQaUZCejc2ASU3OusB+fQU5RoSgrCQmxetR32tnlTcXm\nnR609Y0jz5KAtKQY0eVQFKktMUGGmD3KGeQUFTQaCTXF6ZiccaHPyi5vatXUPQaPV16+Z0kULjUC\n75MzyClqLL/R2jl7Xa3quOyMBMlKj0NGaiyudY+Fvcsbg5yiRmVhGrQaiffJVcrnk9HQ6UBKggH5\nFnZzo/CSJAm1JSY4XV609YV362QGOUWNWOPitoO91mnh2w5S8HUOTWJm3o2aEhMkdnMjAfy3dK6G\neXidQU5R5YMubxxeV5vl2eq8P06ClOQkI86oQ32HPaxd3hjkFFX8H/INHF5Xnbp2Oww6DSryU0WX\nQlFKp9WgqjgdY1NO9NtmwnZcBjlFlYyUWKwzxaO5ZwwuN7u8qcWwfRbDjjlUFKTBoGc3NxJHRJc3\nBjlFnZqSdLg8PrT0hndCCoXOheYRAJytTuJVFfkn1TLIiUImErYdpOC60LQY5NXs5kaCxcXoUZab\ngu7haUzMhGdSLYOcok5JdjLiY3So7xS37SAFz9yCG01dDhRmJSElwSi6HKIbWkKH52KBQU5RR6OR\nUF2cjvFpJ/qs4ZuQQqHR2DUGr09GbQmvxiky+F+L4epZwSCnqBTub8wUOvVcdkYRJiM1DutM8Wjq\nGYMzDJNqGeQUlTYWpi9OSOF6ckXzeH1o6HTAlBKL3IwE0eUQLaspSYfb40NLT+gn1TLIKSrFxejC\nPiGFgq9jYBJzTg+2V2aymxtFlE0lZgDhWYbGIKeo5d+vukHAtoMUHP4PyW0VmYIrIfqwonVLWyd3\nhH7rZAY5Ra2aUt4nV7r6DjuMBi2qONGNIoxGI6GmJB2Tsy70joR262QGOUUtS2ocstLj0NQzBreH\nXd6UZtgxC+v4PDYWpEGvYzc3ijy1Ydo6mUFOUa2m2ASXm13elIh7j1OkqyxMg04rhfw+OYOcotqm\nssUQuHJ9VHAltFr17XZIAKrYzY0iVIxBhw35qei3zcAxuRCy4zDIKaoVZycjOd6AK9ft8PnY5U0p\nZubdaB+cRHF2MpLiDKLLIbqlcGyiwiCnqKaRJGwqMy8Gw8CE6HJohRo7HZDlxbW6RJGsNgzNpxjk\nFPW2lC2u97zcxuF1pbjqvz/Obm4U4dKSYpCXkYDWvnHMOz0hOQaDnKLe+rwUxBl1uHx9lJuoKIDH\n60NTtwPmlBisM8WLLofotmpLTfB4ZTR1j4Xk+RnkFPV0Wg1qS00Yn3aiJ8TrPSlwLb3jmHd6UVti\nZjc3UoSaEN8nZ5ATgcPrSnKp1QYA2LrBLLgSopXJz0xEaqIR9R12eLy+oD8/g5wIi+s9DXoNLrfZ\nOLwewbw+H66225GcYEBxdrLocohWRCNJ2FJmxuyCB619we9ZwSAnAmDQa1FdlA7r+DyG7LOiy6Fb\naOubwMy8G1vKzNBwWJ0UZOuGDADApdbgj/oxyImWbF6/NLzO5jARy3/rY8v6DMGVEK1OSXYykuIN\nuHJ9FF5fcIfXGeRES2qKTdBpJVzhffKI5PPJuHx9FIlxepTlclidlEWjWRxen5l343r/ZHCfO6jP\nRqRgsUYdKgrS0GebgW1iXnQ59BEdg5OYmnVhU6kZWg0/ukh5ti6N+l1qswX1efluILrB5qXZ67wq\njzycrU5KV5aXgoRYPa60jQa1JTSDnOgGtaUmSBJw+XpwvzFTYHzy4rB6fIwOG/JSRZdDtCZajQab\ny8yYnHWhYzB4w+sMcqIbJMUZsD43BZ2DUxifdoouh5Z0Dy3+/1FbaoJOy48tUi7/iJJ/hCkY+I4g\n+gj/8PrVdg6vRwr/PUXOViel25CXiviYxZbQviD1rGCQE33EZnZ5iyiyLONy2yhiDFpUFqSJLoco\nIDe2hO4emgrKczLIiT4iLSkGReuSlpuPkFi91mnYJxdQW2KCXsePLFK+rUsjS8Gavc53BdFNbCkz\nwyfLqGsP3R7CtDJsAkNqU1GQhlijFpdag7PjIoOc6CaWl6Gxy5tQsizjUqsNBr0GG4s4rE7qoNdp\nUFtigmNqISg7LjLIiW7CkhaHHHM8rnWPYd7pEV1O1BocnYV1fB7VxSYY9VrR5RAFzZYgDq8zyIlu\nYXOZGR6vD41dDtGlRC3/h5y/IxaRWmwsTINRr8XltsCH1wMK8snJSTz55JM4cOAAvvzlL2N6+uZD\nBPv27cPDDz+MQ4cO4ciRI4Eckihs/N+YObwuzuW2Ueh1GlQVpYsuhSioDHotakrSYRufR79tJqDn\nCijIn332WezcuRNvvfUWtm/fjp/+9Kc3fZwkSfjFL36BV155Bb/+9a8DOSRR2OSY45GREov6Tgfc\nHq/ocqLOsGMWg/ZZbCxMQ6xRJ7ocoqD7YPZ6YBcLAQX58ePHcfjwYQDA4cOHcezYsZs+TpZl+IK8\nbRtRqEmShM3rzXC6vGjqGRddTtTxf7ht5Wx1UqmqonQYdBpcarUFNLweUJCPjY3BZDIBAMxmM8bG\nxm76OEmS8OSTT+Kzn/0sfvWrXwVySKKw2sJNVIS53GqDViOhpoTD6qRORoMWVUXpGBmbw5B9ds3P\nc9vxqieeeAJ2+8fX0v75n//5x/5MkqSbPscLL7yAjIwMjI2N4YknnkBRURG2bt26hnKJwqtwXRJS\nEgy42j4Kr289t88ME9v4HPpsM6guTkdcjF50OUQhs2WDGZevj+JS2yiyzQlreo7bBvnPfvazW/5d\neno67HY7TCYTRkdHkZZ283WeGRmLQ2NpaWm499570djYuOIgN5sTV/Q4Wjue4092Z002jp7phnXS\nhZqytc2e5jlenVONIwCAvVtyV3zueI7Dg+c5uPZvj8HP3mhFfacDXzlcvabnCGgGyb59+/DSSy/h\nqaeewssvv4z9+/d/7DHz8/Pw+XyIj4/H3Nwc3nvvPfzpn/7pio8xOhr4Ynm6NbM5kef4NirzUnD0\nDPD2+W6sS41Z9e/zHK/eySv90EgSSrJWdu54jsOD5zk0KgvSUNdhR0PrCKo3ZK769wMaJ/yjP/oj\nnD17FgcOHMD58+fx1FNPAQBsNhu++tWvAgDsdju+8IUv4NChQ3jsscewb98+3HXXXYEcliisyvJS\nkJpoxMXWUc5eDwP75Dy6h6exIT8FCbEcVif1829tutaNmgK6Ik9JScHzzz//sT/PyMhYXoqWm5uL\nV199NZDDEAmlkSTsqLTgzfN9qO9wYOsGzqIOpSucrU5RprbEBK1GwqU2G55Yw+9z5g7RCuysXBzu\nOnttRHAl6nfp+igkCdi0xvkIREoTF6NHRUEa+qxrawzDICdagRxzAvIyEtDY5cD0nEt0Oao1Pu1E\nx8AkynJSkBxvEF0OUdgE0oaYQU60QjsqM+H1ybjYGpw9hOnjzjcvjnjcUc5hdYoum8rM0NxiCfft\nMMiJVmhHpQWSBJzj8HpIyLKMs40j0GklbCu3iC6HKKwSYvX4g3tK1/S7DHKiFUpJMKKiIA2dQ1Ow\njs+JLkd1eq3TGLTPoqbExNnqFJX2b8lZ0+8xyIlWYWfl4pUir8qD78xSE5g7q7IEV0KkLAxyolXY\nXGaGQa/B+SZrwHsI0wc8Xh/eb7YiKU6PjYU37xBJRDfHICdahRiDDpvLzLBNzKNzaEp0OapR3+HA\nzLwbOyozodPyY4loNfiOIVqlXUtryjm8Hjxnrw0DAHZtXH17SqJoxyAnWqXyglQkxxtwocUKj9cn\nuhzFm5pzoaHTgbyMBORZuCEH0WoxyIlWSavRYHuFBbMLHjR2OkSXo3jvN1nh9cnYxUluRGvCICda\nA3/L1nNNHF4P1Jlrw9BqJOyo4NpxorVgkBOtQZ4lAetM8ajrcGBuwS26HMUasM2gzzqDqqJ0JLEl\nK9GaMMiJ1kCSJOystMDj9bFlawDOLE1yu7OKk9yI1opBTrRGHwyvWwVXokxenw/nmqyIj9Ghutgk\nuhwixWKQE61RWlIMNuSl4Hr/BOwT86LLUZxrXWOYmnVhe4UFeh0/iojWiu8eogD4r8rPN/OqfLXO\nXGNLVqJgYJATBWDL+gzodRqcaxphy9ZVmF1wo659FOtM8SjI5NpxokAwyIkCEBejQ22JCcOOOfRa\np0WXoxgXmq3weGXcuTET0hr3YCaiRQxyogD5h9fPsmXrip25NgJJAnZUcrY6UaAY5EQB2liUhoRY\nPS40W+H1sWXr7Qw7ZtE1NIXKwjSkJhpFl0OkeAxyogDptBpsL7dgas6Npu5x0eVEvOV9xzdykhtR\nMDDIiYJg59KuXSfrBgVXEtl8PhnnmkYQa9RhUynXjhMFA4OcKAgKsxJRkJmIunY7bFxTfkstveMY\nn3ZiW3kGDHqt6HKIVIFBThQEkiTh3jt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns # THIS IS THE KEY TO EVERYTHING\n", "\n", "x = np.linspace(0, 10, 50) # Evenly-spaced numbers from 0 to 10\n", "y = np.sin(x) # Compute the sine of each of these numbers.\n", "\n", "plt.plot(x, y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The `seaborn` package is a plotting library in its own right, but first and foremost it effectively serves as a \"light reskin\" of matplotlib, changing the defaults (sometimes drastically) to be much more aesthetically and practically agreeable." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "There will certainly be cases where seaborn doesn't solve your plotting issue, but for the most part, I've found `import seaborn` to assuage a lot of my complaints." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Review Questions\n", "\n", "Some questions to discuss and consider:\n", "\n", "1: You may have noticed much of the plotting that was done in this lecture relied on *vectorized* plotting, where entire NumPy arrays were fed to matplotlib in one call. The data don't have to be arrays, though; they can be single points fed through a loop. Can you speculate as to why it might be better to use vectorized statements when plotting?\n", "\n", "2: There are a ton of other types of plots supported by matplotlib we didn't even touch on: 3D plots, contour plots, wireframe plots, bar plots, heatmaps, subplots, in-plot text annotations, and plotting on maps. Pick one of these and provide an example of where it could be used, especially if you've used it in your own work.\n", "\n", "3: One type of visualization matplotlib does *not* [directly] support is that of word clouds. What are those useful for?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Course Administrivia" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ " - **A9 will be out on Thursday, July 21**. It will be due on **Sunday, July 24.**" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ " - **A10 will out on Tuesday, July 26**. It will be due on **Friday, July 29.** Sorry for the change in schedule." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ " - I've flipped the topics of L18 and L19, in case anyone noticed." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Additional Resources\n", "\n", " 1. VanderPlas, Jake. *Python Data Science Handbook*. 2015. ISBN-13: 978-1491912058" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }