{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "matplotlib - 2D and 3D plotting in Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "J.R. Johansson (robert@riken.jp) http://dml.riken.jp/~rob/\n", "\n", "The latest version of this [IPython notebook](http://ipython.org/notebook.html) lecture is available at [http://github.com/jrjohansson/scientific-python-lectures](http://github.com/jrjohansson/scientific-python-lectures).\n", "\n", "The other notebooks in this lecture series are indexed at [http://jrjohansson.github.com](http://jrjohansson.github.com)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# This line configures matplotlib to show figures embedded in the notebook, \n", "# instead of opening a new window for each figure. More about that later. \n", "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib is an excellent 2D and 3D graphics library for generating scientific figures. Some of the many advantages of this library include:\n", "\n", "* Easy to get started\n", "* Support for $\\LaTeX$ formatted labels and texts\n", "* Great control of every element in a figure, including figure size and DPI. \n", "* High-quality output in many formats, including PNG, PDF, SVG, EPS.\n", "* GUI for interactively exploring figures *and* support for headless generation of figure files (useful for batch jobs).\n", "\n", "One of the of the key features of matplotlib that I would like to emphasize, and that I think makes matplotlib highly suitable for generating figures for scientific publications is that all aspects of the figure can be controlled *programmatically*. This is important for reproducibility and convenient when one needs to regenerate the figure with updated data or change its appearance. \n", "\n", "More information at the Matplotlib web page: http://matplotlib.org/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get started using Matplotlib in a Python program, either include the symbols from the `pylab` module (the easy way):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from pylab import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "or import the `matplotlib.pyplot` module under the name `plt` (the tidy way):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "MATLAB-like API" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The easiest way to get started with plotting using matplotlib is often to use the MATLAB-like API provided by matplotlib. \n", "\n", "It is designed to be compatible with MATLAB's plotting functions, so it is easy to get started with if you are familiar with MATLAB.\n", "\n", "To use this API from matplotlib, we need to include the symbols in the `pylab` module: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "from pylab import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A simple figure with MATLAB-like plotting API:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 5, 10)\n", "y = x ** 2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "figure()\n", "plot(x, y, 'r')\n", "xlabel('x')\n", "ylabel('y')\n", "title('title')\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most of the plotting related functions in MATLAB are covered by the `pylab` module. For example, subplot and color/symbol selection:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "subplot(1,2,1)\n", "plot(x, y, 'r--')\n", "subplot(1,2,2)\n", "plot(y, x, 'g*-');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The good thing about the pylab MATLAB-style API is that it is easy to get started with if you are familiar with MATLAB, and it has a minumum of coding overhead for simple plots. \n", "\n", "However, I'd encourrage not using the MATLAB compatible API for anything but the simplest figures.\n", "\n", "Instead, I recommend learning and using matplotlib's object-oriented plotting API. It is remarkably powerful. For advanced figures with subplots, insets and other components it is very nice to work with. " ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "The matplotlib object-oriented API" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The main idea with object-oriented programming is to have objects that one can apply functions and actions on, and no object or program states should be global (such as the MATLAB-like API). The real advantage of this approach becomes apparent when more than one figure is created, or when a figure contains more than one subplot. \n", "\n", "To use the object-oriented API we start out very much like in the previous example, but instead of creating a new global figure instance we store a reference to the newly created figure instance in the `fig` variable, and from it we create a new axis instance `axes` using the `add_axes` method in the `Figure` class instance `fig`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n", "\n", "axes.plot(x, y, 'r')\n", "\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although a little bit more code is involved, the advantage is that we now have full control of where the plot axes are placed, and we can easily add more than one axis to the figure:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "\n", "axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axes\n", "axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) # inset axes\n", "\n", "# main figure\n", "axes1.plot(x, y, 'r')\n", "axes1.set_xlabel('x')\n", "axes1.set_ylabel('y')\n", "axes1.set_title('title')\n", "\n", "# insert\n", "axes2.plot(y, x, 'g')\n", "axes2.set_xlabel('y')\n", "axes2.set_ylabel('x')\n", "axes2.set_title('insert title');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we don't care about being explicit about where our plot axes are placed in the figure canvas, then we can use one of the many axis layout managers in matplotlib. My favorite is `subplots`, which can be used like this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots()\n", "\n", "axes.plot(x, y, 'r')\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title('title')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "That was easy, but it isn't so pretty with overlapping figure axes and labels, right?\n", "\n", "We can deal with that by using the `fig.tight_layout` method, which automatically adjusts the positions of the axes on the figure canvas so that there is no overlapping content:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title('title')\n", " \n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Figure size, aspect ratio and DPI" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib allows the aspect ratio, DPI and figure size to be specified when the `Figure` object is created, using the `figsize` and `dpi` keyword arguments. `figsize` is a tuple of the width and height of the figure in inches, and `dpi` is the dots-per-inch (pixel per inch). To create an 800x400 pixel, 100 dots-per-inch figure, we can do: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,4), dpi=100)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same arguments can also be passed to layout managers, such as the `subplots` function:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(figsize=(12,3))\n", "\n", "axes.plot(x, y, 'r')\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Saving figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To save a figure to a file we can use the `savefig` method in the `Figure` class:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig.savefig(\"filename.png\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can also optionally specify the DPI and chose between different output formats:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig.savefig(\"filename.png\", dpi=200)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "fig.savefig(\"filename.svg\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "What formats are available and which ones should be used for best quality?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib can generate high-quality output in a number formats, including PNG, JPG, EPS, SVG, and PDF. For scientific papers, use PDF whenever possible. (LaTeX documents compiled with `pdflatex` can include PDFs using the `includegraphics` command). " ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Legends, labels and titles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have covered the basics of how to create a figure canvas and add axes instances to the canvas, let's look at how decorate a figure with titles, axis labels, and legends." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure titles**\n", "\n", "A title can be added to each axis instance in a figure. To set the title, use the `set_title` method in the axes instance:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.set_title(\"title\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 18, "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Axis labels**\n", "\n", "Similarly, with the methods `set_xlabel` and `set_ylabel`, we can set the labels of the X and Y axes:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Legends**\n", "\n", "Legends for curves in a figure can be added in two ways. One method is to use the `legend` method of the axis object and pass a list/tuple of legend texts for the previously defined curves:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.legend([\"curve1\", \"curve2\", \"curve3\"]);" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The method described above follows the MATLAB API. It is somewhat prone to errors and unflexible if curves are added to or removed from the figure (resulting in a wrongly labelled curve).\n", "\n", "A better method is to use the `label=\"label text\"` keyword argument when plots or other objects are added to the figure, and then using the `legend` method without arguments to add the legend to the figure: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.plot(x, x**2, label=\"curve1\")\n", "ax.plot(x, x**3, label=\"curve2\")\n", "ax.legend()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The advantage with this method is that if curves are added or removed from the figure, the legend is automatically updated accordingly.\n", "\n", "The `legend` function takes an optional keywork argument `loc` that can be used to specify where in the figure the legend is to be drawn. The allowed values of `loc` are numerical codes for the various places the legend can be drawn. See http://matplotlib.org/users/legend_guide.html#legend-location for details. Some of the most common `loc` values are:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.legend(loc=0) # let matplotlib decide the optimal location\n", "ax.legend(loc=1) # upper right corner\n", "ax.legend(loc=2) # upper left corner\n", "ax.legend(loc=3) # lower left corner\n", "ax.legend(loc=4) # lower right corner\n", "# .. many more options are available" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following figure shows how to use the figure title, axis labels and legends described above:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=\"y = x**2\")\n", "ax.plot(x, x**3, label=\"y = x**3\")\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_title('title')\n", "ax.legend(loc=2); # upper left corner" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 23, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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lr9DQUHh5eSElJQUTJkxAaGgoACA5ORmRkZFITk5GbGwsli5dCoVCoa7QiIi0yvrE9Rht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\nOTk5yMnJgaurK8rKyjBs2DB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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Formatting text: LaTeX, fontsize, font family" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above is functional, but it does not (yet) satisfy the criteria for a figure used in a publication. First and foremost, we need to have LaTeX formatted text, and second, we need to be able to adjust the font size to appear right in a publication.\n", "\n", "Matplotlib has great support for LaTeX. All we need to do is to use dollar signs encapsulate LaTeX in any text (legend, title, label, etc.). For example, `\"$y=x^3$\"`.\n", "\n", "But here we can run into a slightly subtle problem with LaTeX code and Python text strings. In LaTeX, we frequently use the backslash in commands, for example `\\alpha` to produce the symbol $\\alpha$. But the backslash already has a meaning in Python strings (the escape code character). To avoid Python messing up our latex code, we need to use \"raw\" text strings. Raw text strings are prepended with an '`r`', like `r\"\\alpha\"` or `r'\\alpha'` instead of `\"\\alpha\"` or `'\\alpha'`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.set_xlabel(r'$\\alpha$', fontsize=18)\n", "ax.set_ylabel(r'$y$', fontsize=18)\n", "ax.set_title('title')\n", "ax.legend(loc=2); # upper left corner" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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jd4O6PyyIiLTVtbJrWJ+wHgkvJ7T5NRUP/iG9YcOGZt8jqW6oGTNmIDQ0FAAQGhoKb29v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\npqamD92vU7Qs7r9gz9DQUH3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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also change the global font size and font family, which applies to all text elements in a figure (tick labels, axis labels and titles, legends, etc.):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Update the matplotlib configuration parameters:\n", "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'serif'})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title')\n", "ax.legend(loc=2); # upper left corner" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 26, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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7EHs/Fr+O/xUCTmO+ol9II/bZ3Lt3D+3atcOECROwb98+WbtYLIa5uTkGDhwo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\nW1r6JDBqC46n7zMm3Wz1dIDUFijW1nS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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "# restore\n", "matplotlib.rcParams.update({'font.size': 12, 'font.family': 'sans'})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 27 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Setting colors, linewidths, linetypes" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Colors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With matplotlib, we can define the colors of lines and other graphical elements in a number of ways. First of all, we can use the MATLAB-like syntax where `'b'` means blue, `'g'` means green, etc. The MATLAB API for selecting line styles are also supported: where, for example, 'b.-' means a blue line with dots:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# MATLAB style line color and style \n", "ax.plot(x, x**2, 'b.-') # blue line with dots\n", "ax.plot(x, x**3, 'g--') # green dashed line" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 28, "text": [ "[]" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also define colors by their names or RGB hex codes and optionally provide an alpha value using the `color` and `alpha` keyword arguments:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x+1, color=\"red\", alpha=0.5) # half-transparant red\n", "ax.plot(x, x+2, color=\"#1155dd\") # RGB hex code for a bluish color\n", "ax.plot(x, x+3, color=\"#15cc55\") # RGB hex code for a greenish color" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 29, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 29 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Line and marker styles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To change the line width, we can use the `linewidth` or `lw` keyword argument. The line style can be selected using the `linestyle` or `ls` keyword arguments:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "\n", "ax.plot(x, x+1, color=\"blue\", linewidth=0.25)\n", "ax.plot(x, x+2, color=\"blue\", linewidth=0.50)\n", "ax.plot(x, x+3, color=\"blue\", linewidth=1.00)\n", "ax.plot(x, x+4, color=\"blue\", linewidth=2.00)\n", "\n", "# possible linestype options \u2018-\u2018, \u2018\u2013\u2019, \u2018-.\u2019, \u2018:\u2019, \u2018steps\u2019\n", "ax.plot(x, x+5, color=\"red\", lw=2, linestyle='-')\n", "ax.plot(x, x+6, color=\"red\", lw=2, ls='-.')\n", "ax.plot(x, x+7, color=\"red\", lw=2, ls=':')\n", "\n", "# custom dash\n", "line, = ax.plot(x, x+8, color=\"black\", lw=1.50)\n", "line.set_dashes([5, 10, 15, 10]) # format: line length, space length, ...\n", "\n", "# possible marker symbols: marker = '+', 'o', '*', 's', ',', '.', '1', '2', '3', '4', ...\n", "ax.plot(x, x+ 9, color=\"green\", lw=2, ls='*', marker='+')\n", "ax.plot(x, x+10, color=\"green\", lw=2, ls='*', marker='o')\n", "ax.plot(x, x+11, color=\"green\", lw=2, ls='*', marker='s')\n", "ax.plot(x, x+12, color=\"green\", lw=2, ls='*', marker='1')\n", "\n", "# marker size and color\n", "ax.plot(x, x+13, color=\"purple\", lw=1, ls='-', marker='o', markersize=2)\n", "ax.plot(x, x+14, color=\"purple\", lw=1, ls='-', marker='o', markersize=4)\n", "ax.plot(x, x+15, color=\"purple\", lw=1, ls='-', marker='o', markersize=8, markerfacecolor=\"red\")\n", "ax.plot(x, x+16, color=\"purple\", lw=1, ls='-', marker='s', markersize=8, \n", " markerfacecolor=\"yellow\", markeredgewidth=2, markeredgecolor=\"blue\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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S6Llr72UUbLBt3LEx8vLzGGwTAPvbEpFVjb9qPDa/uDm0NcAPP/wwpk6dWrv9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\n", "text": [ "" ] } ], "prompt_number": 30 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Control over axis appearance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The appearance of the axes is an important aspect of a figure that we often need to modify to make a publication quality graphics. We need to be able to control where the ticks and labels are placed, modify the font size and possibly the labels used on the axes. In this section we will look at controling those properties in a matplotlib figure." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Plot range" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first thing we might want to configure is the ranges of the axes. We can do this using the `set_ylim` and `set_xlim` methods in the axis object, or `axis('tight')` for automatrically getting \"tightly fitted\" axes ranges:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", "\n", "axes[0].plot(x, x**2, x, x**3)\n", "axes[0].set_title(\"default axes ranges\")\n", "\n", "axes[1].plot(x, x**2, x, x**3)\n", "axes[1].axis('tight')\n", "axes[1].set_title(\"tight axes\")\n", "\n", "axes[2].plot(x, x**2, x, x**3)\n", "axes[2].set_ylim([0, 60])\n", "axes[2].set_xlim([2, 5])\n", "axes[2].set_title(\"custom axes range\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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x26GLXheuoxAFt+PqDjh1ckJX/a5cR1FYdKWZEEIIeYeIlAiM7kldMwi3JOUS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\n7ydwaO4gaaZnz/huT0Ujybdv87U6nZx4k9yrF53qexORa0LkbKJKeZ6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"text": [ "" ] } ], "prompt_number": 31 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Logarithmic scale" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to set a logarithmic scale for one or both axes. This functionality is in fact only one application of a more general transformation system in Matplotlib. Each of the axes' scales are set seperately using `set_xscale` and `set_yscale` methods which accept one parameter (with the value \"log\" in this case):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 2, figsize=(10,4))\n", " \n", "axes[0].plot(x, x**2, x, exp(x))\n", "axes[0].set_title(\"Normal scale\")\n", "\n", "axes[1].plot(x, x**2, x, exp(x))\n", "axes[1].set_yscale(\"log\")\n", "axes[1].set_title(\"Logarithmic scale (y)\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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4AGlWF8LiJKcmU2hKIWL6x1DQuWC6v69GvR85ciSxsbH6bsHExETc3NyIiorC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\nAJCdnY2VK1fi+vXrePLJJ7F7926EhYV1LMBJzlk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Hj4pcVe88//zz7Omnn2bJyclil9Jj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\nhStCCCGEEDuicEUIIYQQYkf/D9+1hEFYllayAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Placement of ticks and custom tick labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can explicitly determine where we want the axis ticks with `set_xticks` and `set_yticks`, which both take a list of values for where on the axis the ticks are to be placed. We can also use the `set_xticklabels` and `set_yticklabels` methods to provide a list of custom text labels for each tick location:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(10, 4))\n", "\n", "ax.plot(x, x**2, x, x**3, lw=2)\n", "\n", "ax.set_xticks([1, 2, 3, 4, 5])\n", "ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$'], fontsize=18)\n", "\n", "yticks = [0, 50, 100, 150]\n", "ax.set_yticks(yticks)\n", "ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18); # use LaTeX formatted labels" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 33, "text": [ "[,\n", " ,\n", " ,\n", " ]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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3uqZF05KVkpninhaNbBHpnhbt07YP06JAHSO8AQCqzTAM/fvYv13Toj9+rFOl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\nZs6caXYJqCV+O+/G7+e9rrz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"text": [ "" ] } ], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are a number of more advanced methods for controlling major and minor tick placement in matplotlib figures, such as automatic placement according to different policies. See http://matplotlib.org/api/ticker_api.html for details." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Axis grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the `grid` method in the axis object, we can turn on and off grid lines. We can also customize the appearance of the grid lines using the same keyword arguments as the `plot` function:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 2, figsize=(10,3))\n", "\n", "# default grid appearance\n", "axes[0].plot(x, x**2, x, x**3, lw=2)\n", "axes[0].grid(True)\n", "\n", "# custom grid appearance\n", "axes[1].plot(x, x**2, x, x**3, lw=2)\n", "axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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v4t7MnRWPriB5XzLJJGsmvooul/ycpKERuo6qYdHRMdafIyIiiYiIJCSk7Hnh\nkpLKHqSshfXPn4eSl0sL8VRmfY9rvLO5Svwl61/9GLXjudH6l/IuMeaX/1BQowFP94ziuc7P2WxD\n6/Ffa/3Y2FhiY2PJyICMjNLrl6ky3zs2adJE+eKLL6zL33//vdKhQwdl4cKFNuMVcnJyZMyVEDfw\nRdwXivt0d4UYlA92fqB2OE6llf2+sjVMK3kIobYT6SeUsA/DFGJQbv/0dqXAWKB2SE5jz35fqYEc\nw4cP56OPPiIlJYX09HRmz55N3759GTBgAPHx8axcuZKCggKmT59OREQEzZs3r8zTCaFbH+z8gGE/\nDsOkmHjtjtcY12Wc2iFVC1LDhKi8+Ivx9FjSg8S0RDrc1IEfB/9ILY9aaoelrsp0b0ajUXnuueeU\ngIAA5aabblJeeOEFpbCwUFEURVm/fr3SsmVLxcvLS7nnnnuUkydPVrgDdBWbdHI6hF7yUBTt52I2\nm5WpG6cqxKAQgzLzfzOvua7WcykPrez3la1hWslDCLXsOLVDCfxPoEIMyl2f3aVk5GeoHZLT2bPf\ny/Q3DhQbG2sda+LK9JIHaDsXs2Jm3JpxfLz7Y9wMbizuu/i6kzFrOZfy0st+r5c8hKiItcfWMmD5\nAPKMeTzc4mGWPbIMrxpeaofldPbs99JcCaGCIlMR//rxXyyLX0Yt91ose3QZ/Vv2VzusKqOX/V4v\neQhRXisSVjBk5RCMZiPDwofx6cOf4uFW4XPkXIrMLSiEBuUW5dJvWT+WxS/Dr6Yfvz71a7VqrIQ2\naehEzkrTSy5azWPB7gU8/t3jGM1GXuz6Ip/1++yGjZVWc3EWaa4c6MrTzl2ZXvIA7eWSnp/OfV/d\nx2+JvxHkHcSmf23inqb32PVYreUi9EVPb356yUVreSiKwjtb32HML2NQUHi759vMun+WXRc51lou\nzlY9juEJoQHnss9x31f3EX8xnuDawawdspYWQS3UDksIIW7IrJj5v7X/x6ydszBg4JPen/BMp2fU\nDkuzpLlyIL0MNtZLHqCdXI6lHSPqyyhOZJygZVBL1g5ZS5PaTcq1Da3kIoSoXorNxTz909Ms3beU\nGm41+GrgVwxqM0jtsDRNmishnGz/hf3c/9X9nM85T+dGnVnz1BqCvIPUDksIIW6ooLiAx797nFWH\nV+Fdw5uVg1Zyf9j9aoeleTLmyoH0MiZGL3mA+rn8L/l/3PXZXZzPOU+vpr3YMGxDhRsrtXMRQlQv\nWYVZPPCTm7tqAAAgAElEQVTVA6w6vIpAz0A2DNsgjZWd5MiVEE6y5ugaHl3xKPnF+QxsNZBvBn4j\nVy0WmlXW3GuuSi+5qJnHxdyLPPj1g+w5t4eGvg1ZO3Qtbeu3rfD29PKa2EuucyWEE3y9/2uiV0VT\nbC5mZIeRLOizAHc3d7XD0gy97Pd6yUOIK53MOEnUl1EcTTtKWJ0w1g5ZS9PApmqHpRlynSshVDB3\n11yG/DCEYnMxE2+fyKK+i6SxEkK4hIMpB+mxpAdH044S3iCcbcO3SWNVAdJcOZBexsToJQ+o2lwU\nRWF67HTG/WqZdHnGvTOYETUDg8HgkO3r6XURQmjPrjO7uPOzOzmTfYY7gu8gNjqWBr4N1A7LJcmY\nKyEcwKyYeeHXF5j751zcDG4s7LOQkR1Hqh2WEELYZf3x9fRf1p9cYy69b+3NisdW4F3DW+2wXJaM\nuRKikowmI9GrovnmwDfUdK/Jfx/5LwNbDVQ7LE3Ty36vlzxE9fb9we95cuWTFJmKGNJ+CEseXkIN\n9xpqh6VZMuZKCCfLM+bRf3l/vjnwDb41fVnz5BpprIRL0tP0JHrJpSryWPTXIgZ9N4giUxHju4xn\naf+lTmms9PKa2MshzdXRo0fx9PRk6NCh1t9t2LCBli1b4uPjQ8+ePUlOTnbEU2maXsbE6CUPcG4u\nGQUZ3P/V/aw5uoa6XnXZOGwjvZr1ctrz6el10RKpXxZ6evPTSy7OzmPGthmM/nk0ZsXMG5FvMOeB\nOXbNE1gRenlN7OWQ/8WxY8fSpUsX68Dd1NRUHnnkEd5++23S09Pp1KkTgwcPdsRTCaEJ53POc/fn\nd7MteRs3+9/MthHb6Ny4s9phiQqQ+iWqG0VRmLhuIq9ueBUDBuY9NI+pd0912Mk3wgED2pctW0Zg\nYCCtW7cmMTERgJUrV9K2bVseeeQRAGJiYggKCuLIkSM0b968sk+pWXqZ+00veYBzcjmRfoKoL6M4\nln6MFnVbsHboWoJrBzv8ea6mp9dFK6R+ieqm2FzMM6ufYUncEjzcPPii/xc80e4JtcPSnUoducrK\nymLatGnMnj3bZnBXQkIC4eHh1mVvb2/CwsKIj4+vzNMJoboDFw7QY0kPjqUf47aGt7F1+NYqaayE\n40n9EtVNQXEBg74dxJK4JXh5eLH6idXSWDlJpZqrqVOn8vTTT9OoUSMMBoP1kGJubi7+/v426/r7\n+5OTk1OZp9M8vYyJ0Use4NhcdpzawV2f38W5nHPcE3IPG/+1kXo+9Ry2/RvR0+uiBVK/RHWSXZhN\n729688PfPxDgGcD6Yet5IOwBtcPSrQp/LRgXF8eGDRvYu3cvYPkOt+TTn6+vL1lZWTbrZ2Zm4ufn\nV+a2oqOjCfln4qGAgAAiIiKsX4GUvKHIctUtx8XFaSqeyizHxcU5ZHuFNxcycMVA8o7k0SO4B2ue\nWoOnh6fq+bnKcsnPSRoZ1erY+hVj/TkiIpKIiEhCQsqeSy0pqeyBvVpY//x5KHm5tBBPZdb3uMY7\nm6vEX7L+1Y+p6PYz8jOYtGESR1JNBHoN4OsRb3N7k1ZOj//q36n9/1nR9WNjY4mNjSUjAzIySq9f\nlgpf5+qDDz5g8uTJ1oKTk5ODyWSiVatWjBkzhqVLl7Jt2zbA8kmwXr16xMXFlRqzINeJEVq3PH45\nQ38YitFsZHjEcBb2XYiHm1x/tzLU3u+lfonq4lTmKaK+jOLwpcM0C2zGuqHraBbYTO2wXJo9+32F\nm6v8/Hyys7MBy6e+mTNnkpSUxPz581EUhbCwMJYsWcJDDz3E66+/zrZt29i+fXuFghRCDYqiMO/P\neYz/dTwKCi93f5n3ot6TM2ocQO39XuqXqA7iL8bz0NcPcSrrFO3qt+P3Ib/T0K+h2mG5PKdeRNTL\ny4v69etTv359GjRogK+vL15eXtStW5egoCC+//57Jk+eTJ06ddi9ezfLli2r6FO5DL2MidFLHlDx\nXE5nnabPf/sw7tdxKCi82+td1RsrPb0uapP6JfSs2FzMf7b9h04LO3Eq6xQ9mvRgc/RmaayqkMO+\n25g2bZrNcq9evTh06JCjNi9ElVAUhSV7lzBh7QSyCrMI8Axg3kPzeLLdk2qHJpxI6pfQi/iL8Qxf\nNZzdZ3cDMLLDSD588EOZJ7CKydyCQvwjOTOZUatHsfbYWgAebvEw83vPl097TqCX/V4veQjXZzQZ\n+X//+39M3zwdo9lIcO1gFvVdxH2h96kdmu7Ys9/LqFxR7SmKwqI9i3hl7StkF2VTx6sOHz34EU+0\nfULGV4lqIymp7DOqXJFecrE3j/0X9hP9YzR7z1vOfh1z2xhmRM3Av5b/DR5ZdfTymthLJm52IL2M\nidFLHnDjXJIykoj6Mopnfn6G7KJsBrYaSMJzCTzZ7knNNVZ6el2E9mjkKhkOoZdcbpRHkamI6bHT\nuW3hbew9v5eQgBDWD13PJ30+0VRjBfp5TewlR65EtWRWzMzfPZ+J6yaSa8wlyDuIeQ/N47HWj2mu\nqRJCiKvtPbeX4auGs+/CPgDGdh7Lf+79D741fVWOTIA0Vw6ll7nf9JIHlJ3L8fTjjPxpJLFJsQAM\najOIuQ/OrdKrrVeEnl4XIUTFFJmKeGvLW7y77V2KzcU0C2zGpw9/SmRIpNqhiStIcyWqDbNiZt6u\neby64VXyjHnU867Hx70/5tHWj6odmhBC3NDus7sZvmo48RfjMWBgfJfxvNPrHXxq+qgdmriKjLly\nIL2MidFLHnA5l6OXjhL5eSTjfxtPnjGPJ9o+wcGxB12qsdLT6yKEsF9hcSH/3vBvui3uRvzFeG6t\ncytbhm/hgwc/kMZKo+TIldA1k9nE7B2zmbxxMvnF+TTwacD8PvPp37K/2qEJoSl6OpNLL7mEhMCu\nM7sYvmo4B1MOYsDAhG4TeLPnmy533Sq9vCb2kutcCd06nHqYET+NYPspy7QlQ9sPZc4Dc6jjVUfl\nyIRe9nu95CG0J9+Yz7TYaby/433MipkWdVuwpN8Sbm9yu9qhVXtynStRLZnMJmbtmMXrsa9TUFxA\nI79GLOizgD7N+6gdmhBC3NCOUzsYvmo4hy8dxs3gxsTbJxITGYNXDS+1QxN2kjFXDqSXMTGunMfB\nlIP0WNKDiesnUlBcwP3u9xP/bLwuGitXfl2EEDeWZ8zj5d9fpseSHhy+dJjW9VqzfcR2ZkTNkMbK\nxciRK6ELxeZiZm6fybTYaRSZirjZ/2YW9lmI1xkvAr0C1Q5P/ENR4PRptaMQQnu2ntzKiJ9GkJiW\niLvBnUk9JvH63a9Ty6OW2qGJK+Tk2LeejLkSLu/qiUqf7vA0M++bSW3P2ipHJgoKYM8e2LHj8u3s\nWQB97PdSv0Rl5Rbl8u8N/+ajXR+hoNC2fls+7/c5tzW6Te3Qqj1FgcRE2/p14ACYzTLmSuiY0WRk\nxv9m8MbmN2SiUo04dcq2EO3dC0VFtusEBEBGhjrxiWvT09xvrpLL5qTNjPhpBMfTj+Ph5sFrd7zG\n5DsnW49WuUoe9nCFXHJy4M8/L9evnTshNdV2HQ8PMJtvvK0Kj7kqKipi5MiRhISE4O/vT4cOHfjt\nt9+s92/YsIGWLVvi4+NDz54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"text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Axis spines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also change the properties of axis spines:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(6,2))\n", "\n", "ax.spines['bottom'].set_color('blue')\n", "ax.spines['top'].set_color('blue')\n", "\n", "ax.spines['left'].set_color('red')\n", "ax.spines['left'].set_linewidth(2)\n", "\n", "# turn off axis spine to the right\n", "ax.spines['right'].set_color(\"none\")\n", "ax.yaxis.tick_left() # only ticks on the left side" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 35 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Twin axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometimes it is useful to have dual x or y axes in a figure; for example, when plotting curves with different units together. Matplotlib supports this with the `twinx` and `twiny` functions:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax1 = plt.subplots()\n", "\n", "ax1.plot(x, x**2, lw=2, color=\"blue\")\n", "ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n", "for label in ax1.get_yticklabels():\n", " label.set_color(\"blue\")\n", " \n", "ax2 = ax1.twinx()\n", "ax2.plot(x, x**3, lw=2, color=\"red\")\n", "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n", "for label in ax2.get_yticklabels():\n", " label.set_color(\"red\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/f44MW7ViwkaRImq3yiE013empLDaz/btwFNPsfRZvXpMWPn3X6B9e36KsqJI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\nCiGEcHn/D4BgxyLX/q3DAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 36 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Axes where x and y is zero" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.spines['bottom'].set_position(('data',0)) # set position of x spine to x=0\n", "\n", "ax.yaxis.set_ticks_position('left')\n", "ax.spines['left'].set_position(('data',0)) # set position of y spine to y=0\n", "\n", "xx = np.linspace(-0.75, 1., 100)\n", "ax.plot(xx, xx**3);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 37 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Other 2D plot styles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition to the regular `plot` method, there are a number of other functions for generating different kind of plots. See the matplotlib plot gallery for a complete list of available plot types: http://matplotlib.org/gallery.html. Some of the more useful ones are show below:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "n = array([0,1,2,3,4,5])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(1, 4, figsize=(12,3))\n", "\n", "axes[0].scatter(xx, xx + 0.25*randn(len(xx)))\n", "axes[0].set_title(\"scatter\")\n", "\n", "axes[1].step(n, n**2, lw=2)\n", "axes[1].set_title(\"step\")\n", "\n", "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n", "axes[2].set_title(\"bar\")\n", "\n", "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n", "axes[3].set_title(\"fill_between\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 39, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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VqyvPPPOM8tVXXxmO63Q65dNPP1WaNm2qWFpaKs7Ozoqfn5/y008/Fbmm22efURRF6dat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\nGza7DYvdgqnCRF5pXrXbudJzVNgqqsYRK6VQKOzKzvas7dj32LEre9V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"text": [ "" ] } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "# polar plot using add_axes and polar projection\n", "fig = plt.figure()\n", "ax = fig.add_axes([0.0, 0.0, .6, .6], polar=True)\n", "t = linspace(0, 2 * pi, 100)\n", "ax.plot(t, t, color='blue', lw=3);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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lJyfD19dXUJ20tLQGTqymhKbh8I0bgJ9ffWWRwdLyJF58Edi/H9DCKo1DJgOu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\nmyqEhho21IK+SUxMbFZUs4KCAty/fx/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"text": [ "" ] } ], "prompt_number": 40 }, { "cell_type": "code", "collapsed": false, "input": [ "# A histogram\n", "n = np.random.randn(100000)\n", "fig, axes = plt.subplots(1, 2, figsize=(12,4))\n", "\n", "axes[0].hist(n)\n", "axes[0].set_title(\"Default histogram\")\n", "axes[0].set_xlim((min(n), max(n)))\n", "\n", "axes[1].hist(n, cumulative=True, bins=50)\n", "axes[1].set_title(\"Cumulative detailed histogram\")\n", "axes[1].set_xlim((min(n), max(n)));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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DjlATEREREdmACTURERFRO8FLO25MvOSDiIiIqJ3gpR03Jo5QExERERHZgAk1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\nAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 41 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Text annotation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Annotating text in matplotlib figures can be done using the `text` function. It supports LaTeX formatting just like axis label texts and titles:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(xx, xx**2, xx, xx**3)\n", "\n", "ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n", "ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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14v097+vl2k/S5d7JLqNSTKWS3QJ//CHnwv/1lyx3/PHHciYJlV5pabKkesOG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\nZJXahJCWk4aum7qiRdUWWN1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"text": [ "" ] } ], "prompt_number": 42 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Figures with multiple subplots and insets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Axes can be added to a matplotlib Figure canvas manually using `fig.add_axes` or using a sub-figure layout manager such as `subplots`, `subplot2grid`, or `gridspec`:" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "subplots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(2, 3)\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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kNmaFtGBeaLiAGtLwde+rq6uxevVq2O12j3H379/Hp59+itu3b+PXX39FXV0d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\n/wPe2idHGhUyDAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 43 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "subplot2grid" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n", "ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n", "ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n", "ax4 = plt.subplot2grid((3,3), (2,0))\n", "ax5 = plt.subplot2grid((3,3), (2,1))\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WsW/fPhESEiJ6e3v9ELXvmc1mMTAwIDZt2iQKCgrEgwcPhNlsthvn6bHdKwWpu7tbvPji\ni2LatGkiLi5OHDx4UAghxI0bN0RISIj49ddfrWOrqqqEXq8XYWFhYvXq1ZPuoOHutjIYDGLq1Kki\nJCTEuixfvtyfofuclLwadf369Ul727eU7XXkyBGRkJAgwsLChMFgcHgwDmTubqv+/n6xZs0a6zFr\n/vz54uTJk/4M3afKy8uFRqOxWSoqKmQ7trN1EBERKQJbBxERkSKwIBERkSKwIBERkSKwIBERkSKw\nIBERkSKwIBERkSKwIBERkSKwIBERkSKwIBERkSKwIBERkSKwIBERkSKwIBERkSKwIBERkSKwIBER\nkSKwIBERkSK4LEjV1dVIS0tDcHAwVq1a5XTsjh07MGPGDOh0OqxZswZDQ0OyBUpEgYXHFhrPZUF6\n4okn8N5772H16tVOx508eRLbt29HfX09bty4gfb2dpSXl8sWKBEFFh5baDyXBWnFihXIzc3F448/\n7nRcTU0N1q5di6SkJISHh6OsrAxffPGFXHESUYDhsYXGc/sakqtvOjeZTEhNTbWup6SkoKurCz09\nPZ5HR0QBj8cWGuV2QdJoNE7/v6+vDzqdzroeFhYGALh3756HoRHRZMBjC42a4u5AV3/FhISE4O7d\nu9b13t5eAEBoaKjd2ISEBFy7ds3dpyYiP4qPj0dbW5vX5uexJbBMJF9ke4eUnJyMCxcuWNcvXrwI\nvV6PiIgIu7HXrl2DEEKVS3l5ud9jmIyxqz1+Ncfu7QO8Uo8tcu8zOedT6lwTzReXBcliseDBgwcw\nm82wWCwYHByExWKxG1dYWIg9e/bg8uXL6OnpQWVlpctbOYlo8uKxhcZzWZAqKyuh1Wqxfft2HDhw\nAI899hg++OAD3Lx5E6Ghoejo6AAAZGVl4e2334bBYMDs2bMRHx+PiooKr/8CRKROPLbQeBohhPMT\nuN54Uo0GfnhaWZw6dQoZGRn+DsMjao4dUHf8ao5dTa9XOWOVe5/JOZ9S5wImtg9YkIjIKTW9XtUU\na6CayD5wecquu7sbK1asQEhICGbPno2DBw8+dGxlZSViY2MRHh4Og8EAk8nkUVBERDT5uCxIb731\nFoKDg3H79m3U1tZi3bp1DgvN8ePHsWvXLjQ0NKC7uxsLFixAQUGBV4ImIqLA4/SUXX9/PyIjI9Ha\n2oqEhAQAQFFREWbOnIlt27bZjN22bRsuXLiAL7/8EgDQ2tqKtLQ0DAwM2D8p31YTqYaaXq9qijVQ\nee2U3S+//IIpU6ZYixEApKamorW11W5sZmYmmpqacPXqVQwPD6OmpgbLli3zKCgiIpp8nHZq6Ovr\ns7bpGBUaGuqwZUd6ejqKioowZ84cPPLII3jyySdhNBrljZaIiAKW04I0vmUH8EfbDkctO6qrq2E0\nGtHR0YHp06dj//79WLp0KVpbW/HYY4/ZjX///fet/87IyFDtLbFEgebUqVM4deqUv8OgSUjyNaSC\nggLExsZi69atNmNzcnKQlZWF9evXWx+LiIiA0WjEvHnzbJ+U53mJVENNr1c1xRqovHYNadq0aXjp\npZdQVlaG+/fvo7GxESdOnHB491xKSgr++te/4vbt2xgZGcH+/fthNpttrj8RERE9jMvbvj/55BMM\nDAwgJiYG+fn52LVrF5KSkuzae7z77ruYM2cOUlJSEBERgY8//hiHDx+2uwZFRETkCDs1EJFTanq9\nqinWQOXVTg1ERES+IGvroPb2duTk5CAsLAzR0dEoKSmRNVgiIgpcsrUOGhoawvPPP4/nnnsOXV1d\n6OzsRH5+vleCJiKiwCNb66DPP/8ctbW1OH36tOsn5XleItVQ0+tVTbEGKkW0DmpubkZcXByWL1+O\n6OhoGAwGXLp0yaOgiIho8nFakKS0Duro6MChQ4ewYcMG3Lp1C9nZ2cjNzcXw8LC8ERMRUUByWpCk\ntA7SarVYvHgxsrKyMGXKFGzcuBF37tzBlStX5I2YiIgCktNedomJiTCbzWhra7Oetrt48SLmzp1r\nNzYlJQVnzpyxrrs6h8hedkTKxF525DfChZUrV4q8vDzR398vGhoahE6nEyaTyW7czz//LLRarfju\nu++E2WwWVVVVIiEhQQwPD9uNdeNpiUghvPl6vXPnjnjxxRfFtGnTRFxcnPi///u/h479n//5HzFr\n1iyh0+lERkaGaG1t9Wms5J6J7APZWgclJibiwIEDePPNNxEZGYkTJ07g+PHjmDLF6ZswIprE+I3U\nNBZbBxGRU956vXrjG6l5bPE/tg4iItXhN1LTeLK2DhqVmZmJoKAgjIyMyBIkEQUeT7+RWqvV4vDh\nw6iqqvJVqOQjsrUOGlVbWwuz2QyNRiNroEQUWDz9RurBwUGUlZVh6dKldqfsSN1kax0E/JFM6enp\n2LdvHxYsWACz2YygIPuax/O8ROrhy2tIE/1Gao1Gg/Lycus6P1LifeM/JlBRUeFxvjgtSOfPn8ei\nRYvQ399vfayqqgqnTp3C8ePH7ca/9dZbSExMRG5uLp566ikWJKIA4M3Xa15eHjQaDXbv3o2Wlhbk\n5OSgqakJSUlJNuNKS0vR0NCAw4cPIyoqCrW1tSguLkZnZ6fNaT8eW/zPazc1SDnHe/bsWTQ1Ndn8\nBUNE5Ay/kZrGcvohIXfP8Y6MjKC4uBg7d+60eUfEv1SIyJmIiAj8/e9/t3v8ySeftPnDV6vVYvfu\n3b4MjfxAltZBd+/exblz5/Daa68BACwWCwBg1qxZ+Oqrr7Bw4UK7udk6iEiZ2DqI/MXlB2PdPcd7\n+/Zt679v3ryJ9PR0dHZ2IioqClOnTrV9Up7nJVINNb1e1RRroPLqB2PdPccbExNjXaKioqDRaKDX\n6+2KERERkSNsHURETqnp9aqmWAMVWwcREZHqsSAREZEiuFWQ3O1nV1NTg7S0NOh0OsTGxqKkpMR6\nxx0REZEzbhUkd/vZDQwM4OOPP8adO3fwww8/wGg04qOPPpI9aCIiCjwub2qQ2s9urB07duD777+3\nazPEC49E6qGm16uaYg1UXr2pQcp3lox3+vRpuw/REhEROeLy+8Wl9LMba+/evWhpacHevXsnFiER\nEU0KLguSlO8sGXX06FGUlpbCaDQiMjLS4Ri2DiJSJrYOIn/x6BrSw76zBADq6upQWFiIb775Bmlp\naY6flOd5iVRDTa9XNcUaqCayD9zq1OBuP7v6+nq88sorOHbsGBYtWuSVgInIt9T0elVTrIHK650a\n3O1nt2XLFty7dw/Lli1DaGgoQkNDkZ2d7VFgREQ0ubCXHRE5pabXq5piDVTsZUdERKrnsiC52zYI\n+OODsDNmzIBOp8OaNWswNDQka7BERBS4XBYkd9sGnTx5Etu3b0d9fT1u3LiB9vZ2lJeXeyVof1Lz\n7bBqjh1Qd/xqjp3IV5wWpP7+fhw5cgSVlZXQarVYuHAhcnNzsX//fruxNTU1WLt2LZKSkhAeHo6y\nsjJ88cUX3orbb9R8YFFz7IC641dz7ES+4rQgSWkbZDKZkJqaal1PSUlBV1cXenp6ZAyXiAKJlEsC\n7e3tyMnJQVhYGKKjo1FSUuLDSMkXnBYkKW2D+vr6oNPprOujP+eqxRARTV7uXhIYGhrC888/j+ee\new5dXV3o7OxEfn6+HyImrxJOtLS0CK1Wa/PYX/7yF/HCCy/YjU1NTRV/+9vfrOv//Oc/hUajEd3d\n3XZj4+PjBQAuXLioYImPj3d2mPBYX1+fePTRR8XVq1etjxUWFopNmzbZjf3ss8/EkiVLXM4JOD2k\nkQ9MZB847WWXmJgIs9mMtrY262m7ixcvOuzgnZycjAsXLuDll1+2jtPr9YiIiLAb29bW5uxpiWgS\neNglAUfX25qbmxEXF4fly5fjxx9/xNy5c/G///u//DaBAOP0lN20adPw0ksvoaysDPfv30djYyNO\nnDiBgoICu7GFhYXYs2cPLl++jJ6eHlRWVmLVqlVeC5yI1E3KJYGOjg4cOnQIGzZswK1bt5CdnY3c\n3FwMDw/7KlzyAZfdvj/55BOsXr0aMTExiIqKsmkblJycjMuXL2PWrFnIysrC22+/DYPBgIGBAbz8\n8suoqKjwxe9ARCok5ZsEtFotFi9ejKysLADAxo0bsWXLFly5cgXPPPOMzVh+k4Bvydkd3i+tg4iI\npHyTQFlZGc6cOQOj0QgAEEIgIiICDQ0NNgWJrYP8T3Gtg9Tc3cHd2GtqapCWlgadTofY2FiUlJTA\nYrH4OFpbUrb7qMzMTAQFBWFkZMQHETqn5luApcReWVmJ2NhYhIeHw2AwOLyrzJeqq6uRlpaG4OBg\nl6fZ5Xy9SrkkkJ+fj+bmZhiNRlgsFuzcuRPR0dF23zhAKifPfRW2Vq5cKVauXCn6+/tFY2Oj0Ol0\norW11W5cXV2d0Ov1wmQyiZ6eHpGRkeHwDhtfcjf2Tz/9VDQ2Norh4WHR2dkp5s+fLz788EM/RPxv\n7sY+6sCBA2LJkiUiKChIWCwWH0bqmLvxDw4Oiqeeekrs2LFD3L9/XwwODoqffvrJDxH/m7uxHzt2\nTMycOVNcv35dWCwWsXnzZjFv3jw/RPxvR44cEUePHhXr1q0Tr7/++kPHeeP12t3dLV588UUxbdo0\nERcXJw4ePCiEEOLGjRsiJCRE/PrrrzZxJiQkiLCwMGEwGITJZLKbz0uHNJJgIvtA9r0n5VbOvLw8\n8c4771jX6+vrxfTp0+UOyW1SYh+vqqrK4e3wviI19t9//10kJiaK5uZmodFo/F6QvHELsK9IiX3r\n1q3i1Vdfta5funRJBAcH+yROV959912nBUlpr1dHWJD8byL7QPZTdmru7iAl9vFOnz7t11tQpcZe\nWlqK4uJi6PV6X4XolJT4x94CHB0dDYPBgEuXLvkyXBtSYs/MzERTUxOuXr2K4eFh1NTUYNmyZb4M\n96GEi/P+Snu9UuCRvSCpubuDlNjH2rt3L1paWrBx40ZvhueUlNjPnj2LpqYmrF+/3lfhuaTmW4Cl\nxJ6eno6ioiLMmTMHWq0Whw8fRlVVla9CdUqj0Tj9f6W9XinwyF6QpNzKOX5sb28vADgc6wtSYh91\n9OhRlJaW4ttvv0VkZKS3Q3wod2MfGRlBcXExdu7ciaCgf+9+V38de5untwBPmTIFGzduxJ07d3Dl\nyhVfhWtDSuzV1dUwGo3o6OjA4OAgysrKsHTpUgwMDPgq3IdylQNKe71S4JG9II3t7jDKVXeHseMe\n1t3BF6TEDgB1dXV444038PXXXyM5OdlXYTrkbux3797FuXPn8Nprr2HGjBlIT08HAMyaNQtnzpzx\nacxjSdn2KSkpNuv+LqZSYq+rq0NeXh5mzpyJoKAgFBUVoaenB5cvX/ZlyA65eoektNcrBSCZrmPZ\nWLlypcjLyxP9/f2ioaFB6HQ6h3fE1NXVienTpwuTySS6u7vFs88+KzZv3uyNkNzmbuxGo1FERkaK\nhoYGP0TpmLuxd3V1WZcff/xRaDQa8dtvv4mhoSE/RP1v7sb/888/C61WK7777jthNptFVVWVSEhI\nEMPDw36I+g/uxr5582axaNEi0dXVJSwWi9i3b58ICQkRvb29foj6D2azWQwMDIhNmzaJgoIC8eDB\nA2E2m+3GKfH1Op6XDmkkwUT2gVf2npRbOauqqoRerxdhYWFi9erVfj8ouhu7wWAQU6dOFSEhIdZl\n+fLl/gxd0nYfdf36dcXc9i33LcC+5G7s/f39Ys2aNdacnz9/vjh58qQ/Qxfl5eVCo9HYLBUVFap4\nvY7HguR/E9kH7NRARAGDnRr8T3GdGoiIiKRiQSIiIkVgQSIiIkVgQSIiIkVgQSIiIkVgQSIiIkVg\nQSIiIkVgQSIiIkVgQSIiIkVgQSIiIkVgQSIiIkVgQSIiIkVgQSIiv+nu7saKFSsQEhKC2bNn4+DB\ngy5/JjMzE0FBQRgZGfFBhORLU/wdABFNXm+99RaCg4Nx+/ZtnD9/HtnZ2UhNTcXTTz/tcHxtbS3M\nZrPLLxMkdeLXTxCRX/T39yMyMhKtra1ISEgAABQVFWHmzJnYtm2b3fje3l6kp6dj3759WLBgAcxm\nM4KCbE/y8Osn/I9fP0FEqvPLL79gypQp1mIEAKmpqWhtbXU4vrS0FMXFxdDr9b4KkXzMZUGqrq5G\nWloagoOrti4EAAARGklEQVSDsWrVKqdjd+zYgRkzZkCn02HNmjUYGhqSLVBSB+YLuauvrw9hYWE2\nj4WGhuLevXt2Y8+ePYumpiasX7/eV+GRH7gsSE888QTee+89rF692um4kydPYvv27aivr8eNGzfQ\n3t6O8vJy2QIldWC+kLtCQkJw9+5dm8d6e3sRGhpq89jIyAiKi4uxc+dOm1N0PDUXeFze1LBixQoA\nf/yF0tHR8dBxNTU1WLt2LZKSkgAAZWVl+NOf/uTwXDAFLuYLuSsxMRFmsxltbW3W03YXL17E3Llz\nbcbdvXsX586dw2uvvQYAsFgsAIBZs2bhq6++wsKFC23Gv//++9Z/Z2RkICMjw3u/BOHUqVM4deqU\nLHO5fZedq79GTCaT9WAEACkpKejq6kJPTw8iIiI8j5BUiflCrkybNg0vvfQSysrKsHv3brS0tODE\niRNoamqyGRceHo5bt25Z12/evIn09HS0tLQgKirKbt6xBYm8b3zRr6io8Hgut29qcHWbZV9fH3Q6\nnXV99Nywo/PBFPiYL+SOTz75BAMDA4iJiUF+fj527dqFpKQk3Lx5E6GhodZ32TExMdYlKioKGo0G\ner0eU6dO9fNvQHKS7R3S+PPBvb29AGB3PhgAEhIScO3aNXefmmQWHx+PtrY2rz6HXPnCXPE/b+ZL\nREQE/v73v9s9/uSTTz70j5PZs2dbT9tRYJHtHVJycjIuXLhgXb948SL0er3D0y/Xrl2DEEKWpby8\nXJFzKTk2Xxzg5coXOXNFyftEybnHPwjIV1wWJIvFggcPHsBsNsNisWBwcNDhXyeFhYXYs2cPLl++\njJ6eHlRWVrq87ZcCD/OFiDzlsiBVVlZCq9Vi+/btOHDgAB577DF88MEHdud4s7Ky8Pbbb8NgMGD2\n7NmIj4+f0MUtUifmCxF5yi+tg+Rs73Hq1CnZbuuUcy6555NzLjW1V5E7VqXuEyXn3mTOF5JuIvtA\n9QWJpFPT9ldTrIFKTftATbEGKq/2spPSHr6yshKxsbEIDw+HwWCAyWTyKChSL+YLEXnKZUEa2x6+\ntrYW69atc3jgOH78OHbt2oWGhgZ0d3djwYIFKCgo8ErQpFzMFyLylNNTdlLaw2/btg0XLlzAl19+\nCQBobW1FWloaBgYG7J+Ub6v9ylvb3xv5wlzxPzXtAzXFGqi8dspOSnv4zMxMNDU14erVqxgeHkZN\nTQ2WLVvmUVCkTswXIpoIp50apLSHT09PR1FREebMmYNHHnkETz75JIxGo7zRkqIxX4hoIpwWJHfb\nwwN/fA+O0WhER0cHpk+fjv3792Pp0qVobW3FY489ZjeeHXl9R85uvM54K1+YK77lq3whGk/yNaSC\nggLExsZi69atNmNzcnKQlZVl8wVaERERMBqNmDdvnu2T8jyvX/nyGtJE84W54n9q2gdqijVQee0a\n0tj28Pfv30djYyNOnDjh8G6olJQU/PWvf8Xt27cxMjKC/fv3w2w221xPoMDGfCGiCREudHd3ixdf\nfFFMmzZNxMXFiYMHDwohhLhx44YICQkRv/76qxBCiP7+frFmzRqh1+tFWFiYmD9/vjh58qTDOd14\nWvIib25/ufOFueJ/atoHaoo1UE1kH7BTwySkpu2vplgDlZr2gZpiDVRe7dRARETkC7K2Dmpvb0dO\nTg7CwsIQHR2NkpISWYMl5WO+EJGnZGsdNDQ0hOeffx7PPfccurq60NnZifz8fK8ETcrFfCEiT8nW\nOujzzz9HbW0tTp8+7fpJeZ7Xr5TQOsjdfGGu+J+a9oGaYg1Uimgd1NzcjLi4OCxfvhzR0dEwGAy4\ndOmSR0GROjFfiGginBYkKa1gOjo6cOjQIWzYsAG3bt1CdnY2cnNzMTw8LG/EpFjMF5LK3WuONTU1\nSEtLg06nQ2xsLEpKSmCxWHwcLXmbbK2DtFotFi9ejKysLADAxo0bsWXLFly5cgXPPPOM3Xi2g/Ed\nJbYOkpIvzBXf8mXroLHXHM+fP4/s7Gykpqbi6aefthk3MDCAjz/+GP/xH/+B27dv4z//8z/x0Ucf\n8UaYQOPsQ0p9fX3i0UcfFVevXrU+lp+fLzZv3mw39r333hNLly61ro+MjAidTid++uknu7Eunpa8\nzFvb3xv5wlzxP1/mS2Fhodi0aZPLn62qqhIvvPCC3ePMF/+byD6QrXVQfn4+mpubYTQaYbFYsHPn\nTkRHRyMpKckLZZSUiPlCUki55jje6dOnMXfuXG+GR/7gqmK52wpGCCGOHDkiEhISRFhYmDAYDMJk\nMsleQWnivLn95c4X5or/eWsf/OMf/xDTp0+3eezzzz8XGRkZTn9uz549IjY2Vty5c8fu/5gv/jeR\nfcDWQZOQmra/mmINVN7aB+fPn8eiRYvQ399vfeyjjz7CP/7xDxw/ftzhzxw9ehRvvvkmjEYjkpOT\nHcZaXl5uXec1R+8bf82xoqLC43xhQZqE1LT91RRroFLC15UAQF1dHQoLC/HNN98gLS3Np7GS+7za\ny05KK5hRmZmZCAoKwsjIiEdBkXoxX8hdUq451tfX47/+679w5MiRhxYjUj/ZWgeNqq2thdlshkaj\nkTVQUgfmC0nxySefYGBgADExMcjPz8euXbuQlJSEmzdvIjQ0FB0dHQCALVu24N69e1i2bBlCQ0MR\nGhqK7OxsP0dPcpOtdRDwx2dO0tPTsW/fPixYsABmsxlBQfY1j2+r/UsJrYMA9/KFueJ/atoHaoo1\nUCmidRAAlJaWori4GHq93qNgSN2YL0Q0EbK1Djp79iyampqwfv16eSMk1WC+ENFEyNI6aGRkBMXF\nxdi5c6fNKRdnb9vYDsZ3lNY6SGq+MFd8y5etg4jGknwNydFtmb///jsef/xxxMTEAAAsFgv+9a9/\nQa/X46uvvsLChQttn5Tnef3K37fxSskX5or/qWkfqCnWQDWRfeDyc0h5eXnQaDTYvXs3WlpakJOT\ng6amJrsWL7dv37b+++bNm0hPT0dnZyeioqIwdepU2QKmifPm9pc7X5gr/qemfaCmWAOVVz+H5O5t\nmTExMdYlKioKGo0Ger3erhhRYGO+EJGn2KlhElLT9ldTrIFKTftATbEGKq++QyIiIvIFtwoSv9WR\n3MVcISJPuVWQ3G0HM/qtjnfu3MEPP/wAo9GIjz76SPagSbmYK0TkKZfXkKS2gxlrx44d+P777+1a\nyfM8r38ppXXQWMwV5VLTPlBTrIHKq9eQ+K2O5C7mChFNhNNODYC0djBj7d27Fy0tLdi7d+/EIiTV\nYK4Q0US4LEjutoMZ6+jRoygtLYXRaERkZOTEoyRVYK4Q0US4LEiJiYkwm81oa2uznoq5ePHiQ0+v\n1NXV4Y033sA333zj8CuGR7E/me/4qjcZcyUwsJcd+YtbH4x1tx1MfX09XnnlFRw7dgyLFi16+JPy\nwqNfKaF1EHNFPdS0D9QUa6Ca0D4Qbuju7hYvvviimDZtmoiLixMHDx4UQghx48YNERISIn799Vch\nhBAGg0FMnTpVhISEWJfly5fbzefm05KXeHP7M1cCj5r2gZpiDVQT2QdsHTQJqWn7qynWQKWmfaCm\nWAMVWwcREZHquSxI7raCAf7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"text": [ "" ] } ], "prompt_number": 44 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "gridspec" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.gridspec as gridspec" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 45 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "\n", "gs = gridspec.GridSpec(2, 3, height_ratios=[2,1], width_ratios=[1,2,1])\n", "for g in gs:\n", " ax = fig.add_subplot(g)\n", " \n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Xxo39zW9+g8bGRhw/flw9KN86GZFR+2NEPplL0or1nlwMe9t3LKfldnZ2orCw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\nyBTYkIiIyBTYkIiIyBT+D6H/NkLH78adAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 46 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "add_axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Manually adding axes with `add_axes` is useful for adding insets to figures:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(xx, xx**2, xx, xx**3)\n", "fig.tight_layout()\n", "\n", "# inset\n", "inset_ax = fig.add_axes([0.2, 0.55, 0.35, 0.35]) # X, Y, width, height\n", "\n", "inset_ax.plot(xx, xx**2, xx, xx**3)\n", "inset_ax.set_title('zoom near origin')\n", "\n", "# set axis range\n", "inset_ax.set_xlim(-.2, .2)\n", "inset_ax.set_ylim(-.005, .01)\n", "\n", "# set axis tick locations\n", "inset_ax.set_yticks([0, 0.005, 0.01])\n", "inset_ax.set_xticks([-0.1,0,.1]);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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WkUp5p54mTYB588q2zYqrK5BdkI1x7cdpNjg1oV52KtKVODVhzx5+2+DiRaCu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\n3piQAgICSn3e4+fnh0WLFiErK6vI8szMTFhbW5e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"text": [ "" ] } ], "prompt_number": 47 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Colormap and contour figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Colormaps and contour figures are useful for plotting functions of two variables. In most of these functions we will use a colormap to encode one dimension of the data. There are a number of predefined colormaps. It is relatively straightforward to define custom colormaps. For a list of pre-defined colormaps, see: http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps" ] }, { "cell_type": "code", "collapsed": false, "input": [ "alpha = 0.7\n", "phi_ext = 2 * pi * 0.5\n", "\n", "def flux_qubit_potential(phi_m, phi_p):\n", " return 2 + alpha - 2 * cos(phi_p)*cos(phi_m) - alpha * cos(phi_ext - 2*phi_p)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 48 }, { "cell_type": "code", "collapsed": false, "input": [ "phi_m = linspace(0, 2*pi, 100)\n", "phi_p = linspace(0, 2*pi, 100)\n", "X,Y = meshgrid(phi_p, phi_m)\n", "Z = flux_qubit_potential(X, Y).T" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 49 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "pcolor" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "p = ax.pcolor(X/(2*pi), Y/(2*pi), Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n", "cb = fig.colorbar(p, ax=ax)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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JJNFDWA6pTlLMkXMOi1HU8aa47vS9KN1L2MHBwaGHOJ3eeDNF75jwgrJVQSGZqDETNliv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\n", "text": [ "" ] } ], "prompt_number": 50 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "imshow" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "im = imshow(Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n", "im.set_interpolation('bilinear')\n", "\n", "cb = fig.colorbar(im, ax=ax)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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bvc0O8vOCxdq+znYvs+np91n6M3cgO4tGHp5CDv4GYqz/6ov0iMCCe0czVfsT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\npZuUA7T0i0L6gdmwhmsbDVuvM6D2l/qtAXecfWkyt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"text": [ "" ] } ], "prompt_number": 51 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "contour" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "\n", "cnt = contour(Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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DlqTLW/RBYDKnEM8q1IXs19GxQqqgcTqeoz9dYDCjMJRVSCsaHoeMz+3A63Qw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\n1RyKoqA2tGClhlyNUQJRZNGZGGuqSsCrubLur5nVxDPHRjA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lW0+m2XJshJWdcS7vSrh2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\n4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jySJJFgMEjWrFlD7r77bhIKhYgkSRe1i1U3kyL2TqeT3HrrrSQjI4OUlpaSTZs2EUII\nOXv2LDGbzaSlpaW/7fr160l+fj6xWq3kvvvuG1M/aELobVFbW0u0Wi0xm83910033TSSU084LN+L\nPs6cOTMmQy9ZbLF582ZSXl5OrFYrqa2tHVQI0xlaW/j9fnL//ff368WsWbPI1q1bR3LqCeXJJ58k\nHMddcD311FMJ0001XYKKiorKJYCaLkFFRUXlEkAVexUVFZVLAFXsVVRUVC4BVLFXUVFRuQRQxV5F\nRUXlEkAVexUVFZVLAFXsVVRUVC4BVLFXUVFRuQRQxV5FRUXlEuD/ATw57Zjv5wqDAAAAAElFTkSu\nQmCC\n", "text": [ "" ] } ], "prompt_number": 52 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "3D figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use 3D graphics in matplotlib, we first need to create an instance of the `Axes3D` class. 3D axes can be added to a matplotlib figure canvas in exactly the same way as 2D axes; or, more conveniently, by passing a `projection='3d'` keyword argument to the `add_axes` or `add_subplot` methods." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 53 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Surface plots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(14,6))\n", "\n", "# `ax` is a 3D-aware axis instance because of the projection='3d' keyword argument to add_subplot\n", "ax = fig.add_subplot(1, 2, 1, projection='3d')\n", "\n", "p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n", "\n", "# surface_plot with color grading and color bar\n", "ax = fig.add_subplot(1, 2, 2, projection='3d')\n", "p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "cb = fig.colorbar(p, shrink=0.5)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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P4ZZb9mLXrlHvcWHGmCTgSqUSUqlUpM50p4ac0pGFQgG6riOdTvdkCM1kEFZG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PDv69ORTruCuK1NxvHjrlU/OFiGKO5CMLWLGDU23MhAuZaq5d9n22bfv40buVAxcXSSzmYFKIqF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A1D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\nsA8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NZGe+BwPpKaZpoqenJ6N09/f3w3XdYTs88qA6LyJVOF2QQUiOK8uyEARBmwzXo8Bh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\nFESdD4E2IKBqAWthdQGByAsqN4Fez2qCApvD2uKAwCgvSsm7WEqYGgO03bt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62Tt69Cim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StWIDk5mao/EELMgjnEDYZhcP/+fcTHxyMnJwe//e1vsWDBAnh5eQHo2BGZvWvQ1bGczhWF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\nAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 54 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Wire-frame plot" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1, 1, 1, projection='3d')\n", "\n", "p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ZorHnaC026dQzHmoiGgrB1KluwmGYODHA7NkuTjpJo1evLBYvlikqgh9+EJk5\n00XHjtlcc42Xb781F/1Fi0x3bao9zaWXKuzcKbJ1q8jvv8P06S7uvjsUEY7Ro4PMneuLuHMvvRTe\neceLpiVPeDmcRLSmsPrnWslF9gxdoFozdGM3CUVFRYfNaC9wBDNjWIH62MxXq7WW1RzY4/GQl5dX\n4UHO6TJjhsTFF+s0bFgWhBdFePhhhRYtVEaONDv45Ofns2iRj2+/FfjHP0yroUMHgwsu0Hn00WgB\nGzkyiK7DvHkixxxj8OKLZsyrTx8XSvKSvSisH6MVp7TuQUWp6MYiUXlKRT43VT3joWaJzprlQhCg\nSROdG2/MIRiEhx7ycNFFKiefrPPGG0H+9a8Q8+cH+PzzEv70J50ePXy8+67MO+8kj29auN0wfnyY\nadPcPP20m/79VU48seweDBmiUFAgRzwdJ50ExxxjsGlTVtKWdNXZhL46qU1XcOznJsrQtbwrmczQ\nTfS60tJSxyXrEI2V0BMOmxl/llDai+5lWaZBgwZJ28hlwsJUVVMwx4/XIsezJokUFxfy6KNFqKrM\nU0/lUVwscvvtMs88Y7rkLO65R+WZZ6TIombuVg3uvNN02U6dKnPJJQadO+v8+KPAuHGpk4CsOKWV\n3ZbJesrysGpZYxsuxH52ZVL2M9meriZQFHN25cGDAuEwfPutyNFHG6xZU0owKNCvX7QY5uWZre3m\nzw/wl7942LVLpGPH8vt0XnmlwooVMs895+bWW6MzYPPyDLp1U3nnnbJn5uKLFebPL/vvZAkvyfq6\nlrewHy4xzHSpyPNVHT10E8UwHZesA5A68zU2maW8NnKZEMxly0RatDA4/XTzOKqqRjU/aNgwlxdf\nVHnqKYlbb5Xp00fn3HOjP/OEE6BvX50nn4y2MseM0QmH4Y03RPbuhX/9SyMvz/zv5csT97K1xymt\nH01NxCkti760tLTGxn1VVkRryuW4cKFMTo75HTZooBMOCyxe7KdRI7NzT9++ia3Hc87RGTvWdMMv\nXFj+PczLgzZtNI44woiyLi1GjFB5440yV/jgwSpLlshJk9Kgak3o6yNV2SBUNkM3dmi3RXFx8WHl\nknXqMCuBPRbncrkibg3LmgsEAkiSRF5eXoXjc1XZEc+cKXLFFVok89Pv90fqGa1jNm8O99+vcuON\nMp9/nrgG7o47NLp2dXHzzRo5OeZ1ud1md6CXXjJrNh96SKNTJ51vvxUYNcrFjz+ayUFQllhjGEbc\nyK+q7vjzel6aAAAgAElEQVRTbSysjUooFKoT476S1TPap9Rbu3Vr8Hd11NgZBjzxhJu9e0W8XgOX\nCy66SKFJE9i3T+CHHwTatUueSblxo8Q994T42988HHusznnnJX+trsN334kcOACBAHETT3r1Urn5\nZi8//SRw9NEGLVqYfzZskOjSJX2BS+feWqGRQCBQ4/WLtWXZVsfmK9W9tv5YA7rBvN+rV69GEAQC\ngYDjkq2vxGa+Wg+IIAhRQ5wr08rO+nFV9oH/5RcoKBDp27c4Ms3Evgu388UXAiecYDBnTuLzO/FE\ng969dZ55RooSkKuu0ti/X2DWLInff4d77tH45RcBw4Dx46W4esqaGvllbVQKCwvRdb1ci742ay1j\nLVG3240kSdXqzl2/XmLfPoHSUsjJgYYNDUaNMjdLK1bIdO+ukexRPXgQPv1U4oorFJ56Ksi4cVkU\nFSX/rOXLzebt556r89Zb8fvxrCzo319lwYKyfxs4UOXtt6u+d4+9t1l/qLV1j8ubMHK4UBNCbY/t\nW1nm1jB0WZbZvXs306ZNY82aNZx66qkMGDCAe++9lxUrVqQ8brdu3SJeodzcXFq1apX0tY8++ihN\nmzYlPz+fcePGRUJi1YkjmGlQXuZrUVERfr8/8kVXViQq+6AbhsG8eTo9egTJzTVdwMl20fv3w2uv\nSbz0ksJTT0l8913iY95yi8azz0rYn8EGDWD0aI3mzQ1mzJBo08bgzDMNRo7UeO01ia1bi1M2X6gO\nobIsfcvtnJOTUyNu30xTnTHRRx5xUVhofhdPPhnkv/+V6dXLtL6WL5fo2TO5P3TlSpnzz9fIzoa+\nfTW6d1e5++7EbfAAXnzRzTXXhBk3TuGllxJ7FoYOVaIatg8apPLuuzLVVS4oy3LCpK3YCSPJ+udW\nlNoU39oWfiv7/MYbb2TJkiWceeaZrFu3jrFjx2IYBh999FHK9wuCwPTp0yNJktu3b0/4umXLljF1\n6lRWrVrF999/z+7du5k8eXJ1XFIUh97KUoOUl/mqqirBYDDhEOfKUJkMUCtO+PrrMqNGCVGJLYmO\n9dxzEsOG6bRrBxMmaNx+e+KdfZs2BiefbPDmm9H1oTfeqLFvn8BTT0mEwwY33RRk/Xo44QSNa69t\nhM/nq1bBsq7Lbs1amceV2ajU1YSQdGKi6SS//O9/AmvXyhgGHH+8wa5dIn36hPB4zESgggKZiy5K\n7gp9/32ZXr3KBPXBB0OsWiWzYkW8SfrDDwIffigxdKhKnz4q338v8uWX8c9C164aO3ZI/PSTee9P\nPlknN9fgk09qZjlKlvmcrH9uZUW0rmTJ1hbWJqlly5YMGzaMKVOmMGnSpLTeVx4zZ87k6quvplWr\nVjRo0IB7772Xl19+OQNnnRpHMJOQKvPVGqAsCAJer7dWpmjY6xl//z2HL7+UCQalyGDoRMcKhcws\n2ptuMhfIW27R+PhjkY8+SnzuN9+s8eSTclT7shNOMAcIu90GbdrIfPaZhsslMH68wVdfiaxalTqx\nqapYYllYWBixZtMZYF1Xqch5x4poouSXWBH9xz/M709V4V//CrJggYuhQ81hlB9/LHHccTpNmiRr\nWQgrVkRboHl58MgjQSZO9MaVFM2e7WLoUIWcHHC5YPRohVdfjd/EeDxmLNOeLTtwoFqrI78SuRit\n+sVEImof01XbVp2d2swKTvbZFT2fSZMm0bhxYzp37kxBQUHC13z11VeceeaZkf9u06YN+/fv50Cy\nsTkZwhHMGOyZr/ZWdvZ6PsMwqq3faXk/Pk3TKCkpibKsFi/20K6dwfPPS7Rp42b9+sQP6IIFIqef\nbtCqlfkZZncWlSlTEi9UffvqFBXB5s2uyHnpus6f/1yKLGt4vQIbN/r49VeRV16RaN/eYPz4aIGt\n6PWlwlqwdF0nLy+v0tbs4dQvNpWIqqrA6697EATjj1mofvbsEejY0Xy2V62S6NEjuTt261aRhg0N\nWraMvle9emm0aKEzY4bd5QqvveZi9OgyFR01yiwZSZQBO3hwdNyyTx+V997LrGBmIsHMcjHGiqgs\ny5GchkQiWh+J/U1V5jc2depUvv32W3744QeuvfZaBg4cyG77pPs/KCkpicq+tRKL7M3ZqwNHMP/A\n3vNV07SoVnZWQomiKHH1fJlceFP9uK1MSiuhx17T+dZbIrfcorF8ucIjj6iMHu3iiSey4s7txRcl\nrrkm2v12xRU6O3YIfPhh/GeLIowfrzNrVnZUqUyfPhqlpTK//y5y770aDz+ssm2bmWm5d6/AokWZ\n3eFaZSJ+vz/iNqvO7kCHuphaIjptWs4fPYKhY0eNJUuyGTgwjCybNaorVgicf35yd+7y5TI9e8a7\nawXBdM3++9/uyBzMjz82fyvnnlsWiDzpJIPmzQ1WrYr/ri68UGXLFonffjOflXPO0fnlF4Hvvqvb\nnoJYEY3tpGOtI0CttKOr7bpT+2cHg8FI4lW6tG/fPpJZf/nll9OpUyeWLFkS97qcnByKbNlnVglf\nddd81nvBTNbzVRASD3GOrefLtGAm2qXZm7Tn5+fj8/kiD+b+/fDllwI9epgL1YABOhs2hHntNQ+P\nPVZmAf/3vwI7dwr06xedWeF2w6RJKn//e+Ld/aWXqqxc6eHbb4sifV/z8nxccYXG8cfrPPusxIgR\nOlddpfHyyxLHHWdw222JrcyKbjDs7m9ZlsnPz6/2rNtD1bWbiOnTXUgSFBcLXHedwsKFbkaM0BFF\nkVDIw9dfu7jgAiGpO3flSpHu3cMJv7PTT9fp10/liSfMZ2zuXBeXXqoQe/tGjVKYOzf+O/P5oFs3\nlaVLTTGVJOjdW8u4lVkTxHbSsTayidrR+f3+WunpWhPEinVRUVG1lZScfvrpbN26NfLf27Zt46ij\njqJhw4bV8nkW9VYwU2W+2gvfUw1xzvTiahcUK2Zi71STKAN08WKRnj11PLbExWbNYOHCYmbOdPP8\n8+brZ80S+fOfNRJ5kS+7TGfnToEtW6KvR1VVXK5ievUKsmhRfqRUZtcu0/rculXk1VdF5swRufFG\nLbI4//STwNKlVWvObln1lvvbXiZyuCww1cnixRJFRQIdOpj9X084wSwBsrr1rF/v4txzNbKzE7tz\nS0pEPv9c4qyzSpImFv3f/4V58UUXv/4Kb70lM2JEfJ/E4cNV3n/f7FMb+3vp109l6dLqc8vWdnu6\nRAOjq7una21bmHYq2ni9sLCQZcuWRYyX2bNns3btWvr06RP32ssvv5wZM2awfft2Dhw4wJQpU7jq\nqqsyefoJqXeCaWW+WnMQIXkru/ISSqrDJWtvimAvVUnWqWbpUjHOagRzNNf8+SXcf7/M5s0Cc+dK\njB6dOG/f5TKzXx97zNzt67oeFSe97LIAM2e6+d//4LLLZLp1c/PzzwLHHmvQqJHB1KkSvXu7Ofpo\ng7FjNQQBbr01/nzTuV+WVR8KhaLc3/ZjVJX6ILx33eVFluHXXwXOPFNj6VIXgwapkXrLggI5YaMA\ny527cWMW7dvrNG6cvF3aUUeV0rNnmDvvdNG8uc7xx8c/X40aGXTqpLF0aXwpSu/eGgUFMkEzB4ke\nPVQ2bZKo5jBUrVGVnq6HgiW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TDX7+WaRFC53x4yuX/GP1mwVwu9010m+2rmMYAvPmeZBl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\nIBAISsD/A9swygmok6zTAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 55 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Coutour plots with projections" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1,1,1, projection='3d')\n", "\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "cset = ax.contour(X, Y, Z, zdir='z', offset=-pi, cmap=cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='x', offset=-pi, cmap=cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='y', offset=3*pi, cmap=cm.coolwarm)\n", "\n", "ax.set_xlim3d(-pi, 2*pi);\n", "ax.set_ylim3d(0, 3*pi);\n", "ax.set_zlim3d(-pi, 2*pi);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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r7EFUrb7CwkLi4+PRVnPcUhWIaOKU9ZFIMh3LKheoLktUzjoZrdNG+4JfydOdzt5jOtqk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SwT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\nLwLNzs4mNDTU1wc6bNgwP7ebUw3lm4pnQ0MDEGj3JoQ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"text": [ "" ] } ], "prompt_number": 56 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Change the view angle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can change the perspective of a 3D plot using the `view_init` method, which takes two arguments: `elevation` and `azimuth` angle (in degrees):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(12,6))\n", "\n", "ax = fig.add_subplot(1,2,1, projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "ax.view_init(30, 45)\n", "\n", "ax = fig.add_subplot(1,2,2, projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "ax.view_init(70, 30)\n", "\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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tylQV+x65MOSqEPVu5YpsK4xEIjmdl9U6ROcmDxumc5OHA/O6wtRmWFAxNQ66yaqqmmLr\no9Q+eUGqDltfZWNsjzSs7IByM7H8s6YmanmmFXvhGYapjcipfmbLON3T6F5nZfWjjT4rqx+tXTQr\n0ApzUARVmcxiKNcqE62DclUIgOgPyxXZuldVW6E8bFjTNDFs2OPxAIBIBDwarfnMkQELKqbGUFlb\nH1WjaIggzbtg8qMiOyD9bM1Vq3g8Lpqx2Q7IMExtgUIoSDBlqk5lqlxVlOpHG1K5btSZLXIkYGjz\nqrLI4qW0tFTY7Xw+X14DfavTViifm6qqQlhRrxmt6yysmNoGCyrmsCPb+mjXzmoIbzKZFJPsa9sQ\n3tqClR1QrgjKdkB6TO5ZYzsgwzA1GUrHSyQSlv1PhFVyH4CUQfBmZBugHI1uFlYVuSLMFjkSMPkI\nK5vNJmyFoVAIDocDXq83L2GVyVYon1dlRaR52HAoFBJrD1UHWVgxtQkWVMxhgWx9tFMIQAzYNb+O\nPrADEBG0tekGSxUdAJaLcE1EtgOqqopwOIzS0tK05Ce5aiXbAXnmCMMwNQ2y+iUSiYyCidwRVuKF\nKvM0SN38nGwDlEUTJf7J982KhEcmixwJmFyQB/rSGI18B/pa2Qqj0Sh8Pp84r1xFnzxsmM7N4/Gw\nsGJqFSyomEMKWSlUVRWLWmVtffF4vFbdVOWwDOr/ikQiUBSl1vRs0eJps9lQVFSUMizY7XanxKrL\ndkAalsx2QIZhagqVsfrF43HLqhU9pyhKmgipyAYYiUQAQGxI0eOVwWyRC4fDOVeZ6HuZxQsN9M3H\nNm91XvnYHOXj0SYeCSs6N0pi5PWEqcmwoGIOCSQsZFtfprQ+VVWFpcLv99e6m6dhGGIBIFuDw+GA\noigiNYn+Tc/VBhwOB/x+P7xer1hAaYE2pwMCbAdkGKbmQFY/TdMshQ+Qms5nFga6rsMwDCGIZKxs\ngLTBREOB/X6/2JDKJwjJbJELBoMi0TbbGmK1fpJ4MQsrr9eb8z3afF5kLcy3XyvTuVF4Em2ysrBi\nahosqJiDBgkkmvVBMbHmGzYJEFrMrKLRawPmqhpFwcoznshmQb1ggUBAVOBqS/WNkpncbrcQySQO\nZYHIdkCGYWoCNMBXtvOZkS17ZDGXv55mKGWy+mWa1UQzrkhUeTweBAIBhMNhGIaRc0S6VZUpX/te\ndQ70pfMiF0ZVbIVW5xYIBMQaw8KKqYmwoGKqHbL1xeNx0Tt0pKb1ZauqxWKxjF9ns9ng9/vh8/kQ\nj8ctqz35nMvBINNx5XRAEs5WAlEWVvTeoAplbRGRDMPUXshmrmlaRqsfzTmktUq+75Hd3Gp9yvYc\nALhcLvE96L6nKArsdrsYV5FvRHp1VZnkgb5URavKQF/62qoKPqtzCwQCKRt6iURC/Dx5LWEOJyyo\nmGqDbGw0e8Nut1t6zakaVZttfdU5A0teHKxmQeV6vINBRcel3VezQKQdRdkKKFetVFUVQ4Xl1zAM\nw1QHhmGIdSmT1Y/WLDlUQZ69R1Umq6/LZAOkGYqZKigOh0NUw6oSRS5XckgM5Vtlkqto+QwaNg8w\nri7BZ3VuJPqcTieCwSCKiorY/cAcVlhQMVWCPhhTs6+maSKJT0a29dnt9lpr6zMMI6UvqLqqahXN\ngsrHi344kAViIpFALBZDNBrNaAek9CoAbAdkGKZakQf4Zoo6p+Q+uXIlV9RprlSmAAurKo6u62lD\nfeXXyBWwykSRVwYr+57H4xHXkQsOh0NErdM8LLqvV+ac5NdUp+DLdG7AAeslD51nDhe141MaU+Mg\nYSHb+hwOh/CoE9Vt6zsc6XhyWp9hGKIR+GAFLFjNgqK+pVwX2cMFVe0oiCMej2e1A9IHDLYDMgxT\nXWiaJqx+VlHn2dL5gPIqE92LzGSy+snHJCcGPW4WbIRVFLksrHJBtshFo1EhNPK5n9JAX7PYy8eW\nnknw5WsrpHOjnxVZASkcg4QVByExhwoWVExO0IdjsjPQh18Z2Q5Xnba+Q/3hWralVcXWly/mWVBk\nB6RqT21ZKMjaQgJRjhAGkLKTaA6xkIUViyuGYSqLYRhigK9V1DmQeUgvWf4Mw8ho9ctkAyQbOA3m\ntSJTyl+mKPJ8EvOoklNWVgZd13O278k4nU4h9qpSRQPSBV9paWmVhBU5G+h4dG40XJmFFXOoYEHF\nVAgJJIpEtdmsZ0cZhiGiZcn2V9ttfQ6HQ1jVDtd1yL1IZKMrKyvLe35Irsg7q1XByg5IFlBd1y3T\nAXVdh67roh+vNr6fGIY5tFCqX7Yep4rS+ZLJpOVz2WyA2Yb75nIfzRSRnsvsKflYVJ2rapUp00Bf\n2vTK5RpJ8FHvdVUEn7zhSdU0AMINQZ9JyFLOMAcDFlRMRmhxIFsffaiVb3Y0yJVsfbQbRNWH2oDN\nZhMf3FVVha7rUBTloNr68sXpdKKgoACGYaSk6rnd7lo3LFhRFESj0RQ7oNvtTvG/y70M9B5jOyDD\nMNmgDUBN0zIKJrLBZapcAbAUL5lsgOakQBkKxqCkOzn0IhvmiPSqRJHLVSazpTDXdEGrKlq+KX4O\nh0PYCuXzqqzgM1spzaIPALxeLwCkDAeuaWs7U/thQcWkQAJJtvVRSd38Oqu0PtkzXhuQqyCxWEyE\nQNT0D+tkA6Ehu+SVdzgc1VZROhTQAujz+cR1yCmHbAdkGCYXZKtfNsGUybJH/bJAelWJwiYyWf2A\n1BlXJJxIhFGEON2nKwtVmeTo8FwS8+TvRZWcTFWmXM6JqmiysMp3/afNwi1btuCHH37Arl27oOs6\nfvvtN7Rs2RLHHXccWrZsifr166dt6prP2yz6IpGIEH0AxHuDN+aY6oQFFQMg1dZHwRKZbH1yNao2\n2/pIEAIH+pVq23XIi1o4HEYikUBpaWlaql5NR74OSjmMRqNptka2AzIMkw0aJJ/J6pctnU+288Xj\n8bTnYrFYpax+5ucAiOco+dRutwvnR2UxR5FXJjHP6p6YrcqUawiGfO8mIRsKhSpVsTIMA5988gme\nfvpp/PLLr/jiizXw+Qpw7LHNUFxcD4FAKb78chU6deqFeDyIn3/eBEVxolu3HjjnnH4YOnQoCgsL\nM973zdbJcDgMh8Mh3hcsrJjqxJasTeUEptqRbX2002Pe8aeqlWyHy9TkSQNuD4blLxqNit21fDGn\nDiqKInq/rBbfqhCLxcQQRwDCWkE/78LCwmr9fnLYQywWE5YWOVUvHxKJBMLhMIqLi6vzdAGU/4x0\nXYff7097jmyNlKYl2wEJuT8BANs5GOYohmxxuq7D7XZbrhWxWEx80DZDa5zH4xEWPbqXkPXdLMRI\naFmNCyFx5/P5UqyAsVgMsVhMrJX5RohTNU5VVbjdbstNwWAwKERFJihhNRqNwuFw5NWrBZSvr5S2\nR44PK2G1ceNGPPfc83jxxZewa9dv8Psb4LbbHkXr1p1RVFRHvO5Pf+oGh6MYDz74shCBe/fuxPr1\nq7FmzVKsWPEGmjU7EffdNxWDBw+u8GdIgpk+S8g/dxZWTFXhTx1HIWSbikQiCAQCYoGhD6J0Q6Gq\nFfmaabDe4UyYy0f/y9cbi8VSUoZqSwWnstDv0e/3o6SkBIqiIBwOIxAICNGcKwfTQpjt2GRrLCkp\nEbufZWVliMViYteXxD+9b6m6RR9+eL+IYY4OaOaUbAc2Q1Y/K3FBm4ay1ZjuH2T1s6pOZUoKpCq6\n3W5PWy9prS0qKkIymURZWRmi0WjO9ytay4qKimAYBkpLS/M6DgnM4uJiKIqCYDCIUCiUNgalssfy\ner0oLi6G3W5HIBBAOByGrutYtmwZBg4cjL59z8aOHTomTXoUgB233PIEzjjjnBQxtWHD/7B16/e4\n885/we/3Q1EUxGIxFBTUQa9ewzF+/J1QVQ3Nm3fFnXfeh06dOmPx4sVZr5160kpKSuBwOBAMBhGJ\nRIRjhfrueN1g8oErVEcRJJDC4bDot8lm66OUO/J8V+ZD9cGsUJkrPhUhx7dniz3XNO2IqVDRYiZD\nPweqBuW6I0qiuqioqFrO0zAMhEIh+Hw+sXhZ9SSYMQ+RzpRySCEWVHn0+XxsB2SYI5xIJIJIJAJN\n0yzHdJDgsqpcUSqg0+kUYouqGA6HQ/y3ee2hCpHVfYhmYJHFjGzJQHrVX9d1RKNRMS8rn6Q7Oi7Z\n7ug4oVCowgqVGaq6ZasyZfr+ZjeDYRiYO3cuHnnkUYTDMVx44Z/Rt+9FcLk8uPnmgdi7N4TZsz9K\nO9bEiWdBUUrw2GOLUh5XVRWqquIvfxmFffuCmDnzDTidTqxZ8wHmzp2OY4+tj8cffxStWrWq8Hxl\nFwStJySmye3A6wZTWbhCdRQgJ8LRgkOVDLkaRTdjso5R6EFly+DJZBIrVqzAhAlXYdy4yzBs2DAx\nxfxQQtdLwtHj8cDn89WaobjVDVklioqKUnZEQ6GQSLM62CQSCcyZMwdnn30ufD4fGjRoiLp16+Gc\nc87DvHnzRABKNkgUFxQUoLi4GDabDYFAAIFAQAh5ep1srSExSYOZGYY5sqC/cbqfZUr1y1S5sgqU\nkJ+jD9hWx7QKvpCH6VYGihAvLCyEpmkoKyvLy1FAw27l49A8rVzIVGXK9TibNm3ChReOxFVXXY36\n9dtjxozlOPPM4QDs2L17O9av/xSTJ09L+7pdu7Zhy5YNuP76v6Y953K5EImU4dtvP8dVV90FXdeR\nTCbRtes5ePTRJWjXrh969eqDhx9+uMLzJReEvJ6QA0IeFcN1B6YysKA6QiGBRHavaDSaJqLodVSB\noAUgH1tfMpnEbbfdjsmTb0CDBu1xzDHtsWzZajRo0AivvfbawbjEtO9PgpCulaayHy5bn2wZqSmQ\nHbC4uBgOhwOhUChNkFQ3a9asQYcOHTFz5vNo1OhUAHb063cp5s37CueeeyVmzfoPunTphnXr1lX6\nmLId0O12CzsgpR0CB+yEVnZAWoQZhqndUHWJ7HX0mIxs2TOTaR6VnNCXyeqXyT5Ia2m2oAir+w8J\nIr/fj3g8XmVh5ff7U/qs8rEUkuAAgLKyMmGRy0Y8Hsf99/8VPXqchS+++AZudxFuv/0x+P1++Hw+\n6LqOf/3rVtSrdyJOO61r2tc/+eQU1K/fAi1btrU8/qOP3oQGDVqgW7deACD6v2w2O4YNuxIzZryF\nf//7JbRtewp2796d03Umk0kWVkxesKA6wqCmy2AwiGAwKAanmqtM9DpKhqMI1nyrOPff/1csW7YS\nDzzwOgYMGIfhw6/EokXfAjgOY8eOw+OPP16NV3kAEoSRSEQsYj6f77D2edUGKNGpuLhYNBCbBQmR\n7yJiGAZOOeUUnHPOAIwadSvuvPM5vPbas+jZcyRuvfUB+P2FOOOM/pg69QWcf/5VGDhwMN58882c\nvofs/achkWVlZcKzL7+OhJUcxMKLJMPUbqj6TLZts1jJls5H66DV7CgAwlpsfi7bcF9ZaGUSThVt\ntimKIgQRuUvyEURkc6ce1EAgkFePkNyrla3nK5lMYt26dTjjjG5YtuxzPPLI+9i9ewcuvXSK2Ni0\n2+1wu9347LP3MXToRIRCof0OhfJjGYaBTz99DxdeeI3luaiqijVrlmP8+FsAHKim2e120SfdsGET\n7NlThkgkhm7deuCLL77I+ToNw0jpPSYLJ2/GMZng2PQjBBpKq6pq1iG8FDWdSCSqbXjtF198gWef\nnY3HH18Gv79YfCB3uRT8978rMWxYP9xxxxQUFRVh3LhxVfpehLnPiyLCj0ZLX1UgOyDFlZOwsoor\nz4VEIoGCgkIAbtx++zPo2fNc3HbbBfD7j8EddzyUdg79+l2IcDiIESMuwuOPP4orr7wy52uRhx5T\nkhNQvgCbhwUDqT12nA7IMLUPciWQ8DGHSQDlf/9WsxTp660CJYADG0lWz8Xj8YzDfbMJLaue5UxY\nDamVh/FWFrIrUs9qVSLSyeHg8XgQjUZRWloqerUSiQTuv/9+PP30s5g48QH06jUCM2feCkUpxEUX\npd7PFy16AjabgosuuhyGkUQ8HttfCXRh6dJ5SCZtGDr0EstzeOmlh+By+dGv32AAB5wIcjz6ggXP\nIRD4FfPnr8UXX6zAwIGD8dxzs3HuuedW+jppg47cDzRsWFVV8bvJ5ffJHPmwoKrFkEAi73gymcx4\nk5fDGej6pBV4AAAgAElEQVRmkEuTaiY0TcPll1+BceP+D8XF9dJ2/BVFwXPPLcRllw3HpEmT0aZN\nG3Tu3Dmv70VBA2TvqC5ByJQjCxLaFSWhkeuO3IknNgfgwdNPL0fTps2wffsmfPnlx/j73xdaDmX8\n+OO38cQTd+HUU3viL3+5G+3bt8/7fUIfFux2u2ispmZ0uXIpf/iiYcH0wYsXSoap2ZDVjzYQad2z\nSuczB/UAma1+9Jyu65abdLQpaRWkYxZadC6GYYjQDPpgXtl7qtXMqHyizavrOMABwUGC9vvvv8cZ\nZ3RF69ad8OCD76Fx4+YAgHfeeQnDht2Y9jNcvHg2OnceDJvNDocD8Pn80PVyS/YrrzyBdu16Z7z/\nvv32C+jZ84K0a6N/ezwezJ//GHr1GgzAji5dzkbdug1xxRVX4h//eABjxozJ+zpjsRg8Hg90XRdt\nBfJmHXN0w4KqFkIzIygaGsg+hJd24CnZrTIBAJVl0aJF2LJlM2bOvBtFRfVx+ul90l5Tv359nHlm\nT6xc+QsGDBiI9eu/RqNGjSr9PegDLy1kchpPbYCEr2EYByX9sLohP7nX6xXedBJZlUmfuv3227F7\n9x7ceuvzaNq0GQDggQeuQZMmp+C007qkvX7fvl3429+uwbnnjsMNN0zFqlXvYtSo0fj88/+hbt26\neV8H2fwKCwtTqm80f0T+0EMffOhvi/oNeS4Jw9RM4vE4VFWFpmkpA3Xlv+Vsdj6ab2eVEkrCyMoi\nmOk+mEloyVUr6veksKZcBvuaqzDBYFBUnrL1CZsrdlbHySXJT8bpdOKDDz7AyJEjASi44465KCgo\nT4NdsmQuNE3DpZdOSvmazZu/xa+/bkFBwXEYO7YLAoHdUNUIDIMCkgzs2LEVF13UHo0aNUebNqdj\n0KCL0bRpC2zd+h327duNyy+/XhzPPHpj6dI3EA7vweTJf4XH40U8rqJp09a4997ncdttV0DTNIwf\nPz7n66R1hKL5XS6XWNftdnvG2ZzM0QPHptcidF0Xi0gymbScb0Ef3inRjIbXyq+Lx+Nit6oqJJNJ\n9OzZGwMHXoFPPlmJDz9cgEsuuQkXXHC1EA6RSADXXNMfe/bshM1WBMMIAtAwd+5cDB06NOvxSRBS\n5QA44L+uTg5mbDrtTtKHe6qsGYZRbTHkhGzlqE7i8biY30WN3WSxNLN3714cd1xjNGt2Jp56auH+\nx3Zi9OhT8cgjb6Jt2/Ypr4/FYrj++kGIxw0899x74vGnnpoKXd+LefNezFvQULx6QUGBeIzsgPF4\nXLyXyCokQx/IgAPDgnkXkmFqBjRAluy8snWN1jd6ndXmGwXUyEKMoE1IRVHSqlvUT2NeKzJFslNl\nijapaM3VNA3BYFA8nk/vcmWjzakSlWl9q0pE+pQpd2LevFewc+cOXHzxXzBmzLXCCXPNNT1wwgmd\ncN99z+DHHzfgxRcfw7p17yMc3g3AiVat2qFly1PRvHlbNG7cHHXrNsTixc/jnXdewY03/g2bNm3A\nxo3rsHXrDygt/R0eTxHcbi8UxYcXXlghziMYDKaMILnssn5o3LgR7r//efFYeUtEHD///CPuu+9K\nPPDA33KqVJkpKysTQo425+RNOBZWRydcoarhyM2QdKOyqkZVduZSdfLxxx9j795SdOt2Ns488zy0\naXMaZs6cArvdgVGjJkNVY5gwoRdsNg/mz1+HJUvexfLlq/HDD69g7NixeO2119CnT3pFiwRhIpGA\n0+kU9i15oaxOqjuNzywEqRdJURToui52uMLhcLWnEB6s37fsKY/H48IOKC8mANCyZUsADjz22Ivi\na2fNugd16zZOE1MAsH79p/jpp4145pllKY9ffvltuO66wXj11VcxYsSIarsOEpwej0dELUciEXg8\nHrYDMkwtQB7gaxVnTsEziUTCUjBRxchKaFGFmsSHvC5ksw9mimSnrzdXtEgAer1ekUybaygUhTG4\n3W5h0aZwqVw+0OdznN27d2P06Eugqi507Ngfy5a9hssuu0FU6QKB3fjtt61o334gRo1qj9LSbTj2\n2BMwdOhYvP76v9Gnz2hMmnRn2nE///wDdOrUD717D0Xv3kMBJKFpCQSDZXjrrf9g7tyHAQCXX94P\nkybdh44du6X8vLZt+wm//roR9933RMpxy62NPrRseTLuuusZ3HzzZbDZbLj44ovzupfTzwyA6NX1\ner1iQ5uF1dEJ/7ZrKLSTTrOj6I/UbEOwmrlU0Y25ugTE00/PwuDB44QgGDRoBP74x7swd+50rFr1\nNv72t6ugaUk8/fTb8PkKcO6552LHjp/Rps1QADaMGHERfv31VwAHbH2U0kNpO7kMoD2c0I1UnuPl\ndDrTLCWyCKH5HpTGWBuKxQ6HQ8SVK4oiYvnj8TgWLVqESCSGQYOugstVXkU0DAMrV76FIUP+aHm8\nRx+9De3a9USTJs1THne5PLj22r/i5ptvRTAYzOtczVYQGXk2V2FhIQzDsJzNJW9gyFbb2vL7Ypgj\nDfr7o2q51d84WbJysfqZn5PXyWz2QRJameLTAVh+L9qgKSoqgtfrRSQSEWtBLphnKVU22jzbcYDM\nEelffvklunXrgSZNOuPuu+dj6dL5uPDCG1I2oKZMGQXAwLJls9GhQyfMnr0azz77Mfr3H4lQqAxj\nxvwp7ftHIiHs2LEVo0bJz5VvDtetWw8nn9wZNpsdjzyyCPXr18GUKSNx5ZXnYtu2LeLVzzwzHY0a\nNUGTJi0sr9HhcOCkk05Fjx7DccUVV2Lp0qV5pSeSzY/WEI/Hg0gkIlKTaeOR14mji5r/SfUoQ9d1\nhEIh7N27V+x8UPqYnE6WbebSodg9Lysrw/vvv4+ePQelPD506MXo23c0/v73ifjss6W4445/wefz\nAwD8fj+6deuGnTtVOJ1+JBIJjB49Bqqqithzl8slrBG1oQogz/GKxWIiBamiXiPa4SopKdk/qDCS\nEtFa0yGrQ3FxMbxeL7Zs2YLRo0cDsKFly5Pxxz/2xcCBjTFgQEOoagQvvzwD9957Hfbs2SmOsWHD\n59i58xfcfPPfLL/HKad0wamndsff/vb3g3otNHtNns1lnv9CFSv6MJVIJBAMBkV/WW34nTFMbYc2\nrTLFmQMQAsAqwS7b7Cir5+jvOtNw32xCK5FIpMzEM98jSIDQ5k5xcTHcbjfC4TCCwWDOQ9dJEFlF\nm+dyf8oWkf7ggw/ivPMGYvz4e3HZZXfjtdeehGHYcMklk5BMJjF37mMYM6YNfvnlO5xySl+8/vpm\n3H77E2jQ4HhEozG8+OLDqFfvBNSt2yDt+77xxvPweArRunU7i7Oy4dVXZ6Fx49Zo2bIN7rrrKTz5\n5BJ4vcANNwzEtGm3wjAMrFnzHoYOzd4fpapxLFnyAjp37onLL78C3377bc6x9NRyAaSO7nC73YhE\nIgiFQkJoU6w/rxFHPiyoagC0802zo2jWgTnGmV5XE2YuLV68GO3bd0VRUZ2056655nYAdrjdfnTo\ncEbKc0OGnI+9e7cikTgGALB27VosXboUHo8HPp+v1oQAyL8LWtzzEYJ0My4qKoLP54OqqigtLc1r\nh/FwYLPZsGjRInTo0HH/Izoee2wyGjSoiylT/oUWLdqiZctOGDXqCmzcuAqXXtoZs2Y9CAB45pn7\n0KxZexxzTPriSowffwtmz/43fvnll5zPLVuFygp5NpfX60U8Hrf8XZCwoh1I6mvkmVYMc/CQB/gC\n1oKJrH5W/Y7ZIs2tnpP7sDIN961IaFXUl2sVFlFcXAxFURAMBsUH81ygTb2ioiJx7vncm+TjJBIJ\njBlzCe688y7cfPO/RcreggWP4qyzLsZnny3HhRe2wcKFD6BHj3MA2HHvvbP2fy4przIVFPixZs1H\n6NSpn+W8w2XLFqFt224Zz+errz5F//4j4HK5UVBQgOOOa4pp017CTTf9A6tWvYrhw0+BrscxZMhl\nWa9r5swHoChOTJ36DEaOvBpjx44XG9SVqRCSQDW/F+Tfn8vlQigUEs4hFlZHByyoDiNyPDX94dH8\nKLN322zry7eRtbp44YWX0KvXEMvnvvnmcxhGApoWx4IFB7zMyWQSzZo1Q6tWbdG2bX8AHgAOXHfd\nDdXaR3QwISum+XdRVSFIfW+FhYUpO4NmC1pNY+XKlRg//jIA9QAAxx/fHPPnr8XUqc/ilFO6YcuW\n7zFy5FUYPfpavPDCKkyaNBWLFj2OyZNHYMOGtbjkkmuz/tzq1WuE884bjTvv/MuhuSCk2wHl34V5\nQZTtgCSueNFkmOqH5ixqmpZVFGWarZSpzynTc3T8TBUoil23OhdKCbSyDpqPb4aq/yUlJXA4HOLz\nQT7CqqCgQKTRmavulSWRSGDSpOuwaNF/ceKJ3dG69enQNA3fffc59u3biZ9//g733DMC7dt3xEsv\nfY1QqAyNG7eFz1eQcpyysr3Yt28Xxoy5Cg6HHZFIWAgrwzCwdev3GDLEOijixx+/RiwWwfDho+mn\nBJfLDY/Hg27dzsbs2R8gmSyfwfnGG/MzXoumqXj33RcwZsw1sNvtOP/88WjR4lRcffW1KCwsFBXC\nQCCQcd0lMVWZ35/T6UQwGBSbciysjmxYUB1i5F6hQCCAWCwmdrisbH1yT5Fs66sKVe2h+v333/Hl\nl+vQuXN6oAQAPPPMX9G69RkYM+YGzJnzMILBsv2pSuU3knPO6QebTUfPntcA0LFz5w68//77lfre\nh+MmZNUfVV2/CytoZ5AsaMFgMGdLQnWSqdITCAQwePBQAEUA9gDwYPbsj1BYWAculxsrV74Ou11B\np07dEAqFoapxDBo0Gk8/vQSbNn0OwIFOnbpn/d6hUBlWr34X8+bNw+bNm3M+76oi2wGdTmdKz1g2\nO2AsFhNDtnnhZJiqQWl51Ktkdd+Vh/SabW5kv7JKiM32HGEWaZSMl8nqp+t62vHM51TROky2cOqN\nkjdec4HSTP1+P+LxeE7Cas+ePTj33AFYtmwFbDY7pk2bC6/XA01TMX36NQCSCAS24oknluKuu56D\nx+PD+vWf4uyzR6Yda+HCmSgoqI9jj20Ml8sNv78Adnu5sPrgg//CZnOga9delufxyitPo0GDZnC7\n0wNBHA4HiovrQtNUdOvWF08+OQXTpt1qeZy5c5+A02nHiBETAGB/GuG9+PHHn/Dwww+nVZisrJeV\ndT7Itn5ax8k6SSmT7Go4smBBdYggi1goFEIoFBLT2809T7TTDUBEwpKVrKaEM7zzzjvo0KG7CB6Q\n2bPnN/z884+49to7MGrU5Sgubohp064V3nS3242ePXti8+b1OOusMXC7jwFgx9ixFc+FONTVOHN/\nFH24PlQWS7KglZSUiPklZWVlIo79cHPZZZcjFlMBBGGz2TFw4NiU59988wW0adMFBQWF8Hq90HUD\n4XAYxxxzLAoLi5FM6rj77mszHt8wDEyceB6CwSgGDRqNhx9+JOdzrK73DKU1ynZAajy2sgPabDbx\nPC+cDJM/lOqn67oQTGbkapHVKJFMs6OyPSf3YlnFrtNz5uNZWQdp/Zfv35Xd2KxsWERFkAPC7/cL\nZ0y2TboffvgBZ57ZE82adYGmaejefRRKSuohGo3glltGYvv2jejSZQieemolTjihFYAkvv/+C8Ri\nUQwfPjbteB9//DZOPfUs8f9kkfP7C/Dee/PRuHHr/eeTfl1r165E9+7npj1efu42vPPOIjgcDtx1\n10zcc89TWL58Ia67bhQMI7Wq9+abc3H22RekvEdcLjduv/1xPPzwP7F69eqU/mAr62Uus8PoOs3C\nmCpz5Grg9eHIoGZ8Qj+CkW19dBO0ElKyrY/+sA63rS8Tb731Njp1st5J+s9//ok6dY7D8cc3Qzwe\nw/XX348vv1yF7ds3wW53iACNTp1OxzffrMZ5590MAAiHg1iwYMGhvIyMyP1RtCN6OH8Xcp+V3++H\npmmHvc9q06ZNeOutNwFoaN26K5JJA5dcclXKa7Zs+R6DB18MgGJrvfD7/fj9950oLf0dd975OL75\nZgXmzHnC4jsAf//7ZJSVlWHWrDcxbtwNWLBgAX777beDfWlZke2Adrs9ox3QPN6AItppPhzDMJWD\nxoFksvoB6cl9sliRNy/NZIs7pzEdVla/TL1YmayDVAWj+3dZWZkQiJVFDougVFKqeFSEfF9SFEUk\nC2bqG1q5ciX69OmH4cNvQKtWZ6Cs7HfccMPf8cknyzB6dFv8/PPncDp9uOeeWXC73YjH44hEonjl\nlX+hUaM/pFWSDMPA9u0/4fzz0y19NpsN33//Jc48cyCSyfK5WaoaB1B+zmVle1FW9jtGjBhncV2A\nzQa89dbLaNu2A+x2O7p27YOZM9/A1q1f4corByEcDgFI4pNPPkQ4vBdXXJFevWrQ4Hhcf/3fceml\nY7F3715xXpmsl/l8DjALY3IosbA6cmBBdRCgki7Zg8jWZ5XWp2laWlR4dQ+uNVMVy5+qqvjggw/S\n7H7JJJBI6Fi9einOOmvw/h19Lzp37oYTTzwVjzxyc8rre/Y8Exs2rELXrhfC5SoGoOCPf5xwWD9s\nZoqgrylBGRX1WeUawlAVqKKoKHVw/PHHoV69pjjmmIbi+c8//wjJpIFevc4xXYMdr7zyNOrUORZd\nu/bBFVfcjPnz/4kNG9aBFlAA2Lx5A5YvfxNTp85CYWExSkqOQe/eQ/DEEzMrfY6H4udBEfKVsQPa\nbDZh9aAKFy+eDJMZwzBEqp+iKBmtfoZhpKTz0Ron2/nM94Jscefy/VT+G5VT/cznksk6SOu8y+VK\nqRLRteVq5abeKAqLKC0tzepasLoHyhtD5r6hu+66CxdddDFuvPFpnHfeeMyadSfatx+Ap576K+65\nZwR69hyABg0ao0OHfiL63e8v33D86qvV6NZtQFq/1/Llr8Nud6Jjx/TQiZ07tyEcDmDYsNH7e5L9\n0HVDOHlee+3f8PvrokGDYy2urtxGuWXLVxg27DLxaNOmLfHvfy9Fael2TJw4BPv27cOcOY+iTZv2\nab1dRNeu/XHGGf1x7bWT06yZcoWJNjLz/axiTlGU1wwWVrUbFlTVCN1syXuraZplNYrsCRUlxNXE\nP6jVq1ejSZPmqFOnPKXPMOgmEMP69Z8jEgnhwgvHQlGcoEu58cb7sXnzd/jxx/XiOJ06dcTmzZ9j\n2rT+SCQiAAwANlx33XWH9Hpo0aUeKXMEfU3Fqs+KZrNU9/vGfLxdu3Zh7dryHqiJEx/A2rXL0b37\neSmveeONOTj++Faw2dJvMatWvYsePQZAURQMHDgG7dp1wt13X7V/YYnBMHRMm3Yd/vCHTujYsav4\nuvPPH4dnn52NWCxWrddXVcwR8nJSo/zBQhZWdA/gxZNhrKFUPyvBJL/Gakgv/Y1lCpTIFndutg/K\nf5tyn1am42USMHLVSlEUIbCi0SgCgUDO86ccDgcKCwtRWFgoql65hk6YkwXHjBmD6dMfxM03P4dO\nnfri5583YseOzdi69Wt8+OHzmDp1LiZPfhDbt2/CJZdMlo+Efft2IRwuw5AhlyAajSAaPXD/e+ed\nF9G06SmW5/D668+hqKihSAwmq7vX64OuJ7BixZto1ep0yBtuRDKZxIoVS2Gz2dC1a7+U5+rWrY/n\nnluGSGQPbrzxYmze/AUuuuhqaJpqeSygfKD8l19+jRkzZqQ9J/exA/lbLwlzGqP8+9M0TaQ989pQ\ne2BBVQ3Itj7yxloN4SVbH/0RZkqIqwnVkEx88MEHaN++h/SBsHxnzOVy47XXnkXjxq3g96fuAJ14\nYku0bHlaSpVqxoypSCR+gN9fhP79J+1/VMecOXPw008/HfTrkPujKGb3cEXQVwW5z8put4uFtbr7\nrOT35JAh5emORUUd0L17V+zbtxsXXJDqmf/668/Qo0e65720dA9KS3/HqFFXiMfuvvspRKN78eKL\nTwMAPv10GX7++Ufccss0yAtfkyYt0KJFG7zyyiuVOueDXaEyH592feUKotXgZhJW9D5jOyDDpCOn\nZpoFE5FpSC9Vg60izenYmZ6jkSRWCX25xqdTJcPK5UD3ARoMW1G6XCacTqeoesXj8bwCjFRVxcSJ\n1+D1199Ay5ZnoXXrjohGo3jooWsBJOH12vHCC1+hS5dzsXDhTHg8JWjbtkPKMRYufAJFRceiXr36\nKCgogMPh2C+soti48Uv06HGe5ff+3/+Wom3bM9IedzgccLs92L79J/TrNwShUNhSDC1ZMh8tWrS2\nXLeLikowa9YS7Nq1BYANXbr0hqqq+wfwamnHcrs9KCg4DnfeeRe2bdtmeb7ln3dclnO68oEqjoWF\nhUgkEigrKxOBRpRsyeFGtYPa88mxhmG29VF1o7K2vppeAbEimUxi2bIP0apVJ6iqCput3NZXvstn\nw/r1a9Cz50DLP/w//3kqfvppI7Zt24THH/8rVq58BSNH3oiSklPQp89V+MMf+gMoX4x697ZOD6yu\nazD3R9EuZU0WshVB7z2Px3NQ+6yi0SjWrVsHm60AY8Zcgbfeeh4+Xx0cd9wJ4jV79+5CKFSKoUPT\n/fKLFv0bBQX10KBBI/GYz+fHhAn/h9deexLRaBhz5jyEP/zhDNSr1wDhcOoiOmjQODz+uHXP1aEm\n2wJHu48lJSVQFCXF/mu2k7AdkGFSITtcIpGwFExA9iG9AETSnlXYRCZhlG24bybxlul4FHhhniVJ\nyKEVlUmXqwiyE1JvVGWrXrt378Y555yH99//ADabA3//+xz4/X48//wj+O67z9CuXU8888xqFBeX\nj8ZYuvRlnHZav7TjfPLJu2jfvtf+67KJeVFlZXsQDpehf/+hlve07dt/Qv/+wyzPbd26j2EYSfTr\nNwBerydNDCWTSfzwwxfo3394xuurW7c+CguPQTKp4777bhRtFTT+RNcP/Jw3bdqIr79eju7dz8bE\niddYnm8ymRTOI7nCVFpaWiVhRcKYKo4kjKnSag5AYmoeLKhyhG6SpaWlohGdfMRmW195o2ZqsEGu\ng18PBrn2UJEI2blzJzZu/A7t2nWC2+1JsfVt374FkUgQQ4ZcbHmME09sieOPb4Vp0yZhyZLZuO22\nR3DBBZdi8+ZvkEioGDz4JgA6gGLs3fs7Xn755Sqft0xN74+qLg72PKtu3boDcMDrbYcBAwbgo48W\no1271Ojzt956AQUF9VC37jFpX//xx0twyild0x4fOnQc6tWrj3vumYzNm7/DxIm3oqCgfOFLJBII\nhUKIx2M4/fSe+PXX3/DVV19V+Vqqg4reO7Id0OfzpQjdTHZA+nsrb84+PFH5DHM4icVilbL6ZUru\n03U9pQosP5cp7jxTQh+QWbxVFJ8OIKPjwbyeyfcKml+U62BfuTeKql60QWPF+vXr0b37mWjRogdU\nVUPv3mPh9RbgxhsvxKJFD0BR/Lj//hcRjUYRj8cQj0ewffsWjBqVGkCUSCSwc+c2DBxoXv9teOed\nF+HxFOPzz1di9ux/4tFH78Wjj96LmTOnYcaMu6DrCbRvf7rl+S1ZMg+NGjWHzWaHw+FME0Pff78B\nqhrBgAHpMe3E77/vwr59O3D77Q/j00/fwqxZj8DpVOD3++FyuRCNxhCJlIdNPPTQHWjevA1uu+0h\nbNv2K+bMmZN2PLMzwVxhqqinrSLkiqOqqkIYk9uBhVXNJb3ezVhCE8fJ16qqKnw+X9qOFCW20M5a\nvpUoutkezg/7tPNG17J27Vq0adMBXq8v7bWLFs1G3brHo6CgELFY1PJ4Eybcinvu+SPatOmAM88c\nAABo2vREbNr0NVq16oQ6dZqjtHQvkklgwoQJGDVqVJXOnxZWslJRBL3VAnckfmilHTSK+Q6FQiL+\nO5/Ewg0bNuC7776DojTF4MGD4HK58Msvm/HHP6YO3f3kk/fRsmWHtK+npKeJE+8Wj8nv8ZtvfgC3\n3TYWJSXH4eSTTwMAOJ0KnE4FhlH+NxeLxdC791A888yzePTRdJ+7zMH8+8n1/UJCV1EUEaceCATE\nPYKEvfxBLhgMivcw7YzXJjsqw+SDbIHNlOqXbUgvCRmrr6OKjVX0Og3jzZTQl6miZXU82lAtHxdh\nXW3OtEFIIQgej0e0ErhcLni93kr//VPVy+VyiY2ZYDAoNhEB4PXXX8dVV12DP/1pGjRNRTgcwsUX\nX4tLLumARCKIkpL6aNeuH7xeL5JJA/G4ioULn4TbXYjWrU9N+X4ffbQIDocbbdt2wL59e/Huuwvx\n2WcfYNu2bxGJ/A7AhlmzpsDt9kJR3LDZyn9G+/btAQBcdNGpcDg8qF//BHTocCYuuGAsmjZtia+/\n/h+6dx8sX9n+NcEJTdOwePE81K/fCA6H9TBnAHjhhadRUlIPvXsPhmEYmD79FvzhD23Ru/d5UJTy\nPjZV1bBx4zfYtGkdHnvsVTidCq6//m+4444/YsCAAWjQoEHK79bq90BCSJ4f6vV6895EV5QD1xmN\nRsX7SNd10VZC80uZmgH/JrJAdj0qwctpffKHNfO8otpu60skEohGo2khDS+/PB/16jWx/LrPPvso\nY5Q6UVZWCgBo1OiAPaxLl9Pxww9rAADduo0FEERRUbnl75Zbbsn7Guj3QX74bLO8jqQKlRXUZ1Vc\nXJzXPCt6r48efQnKbxmFGDp0KNau/QjlvvSeKa/fuvUH9OyZ3j+1fPkbsNmc6NQpPekJADp06A7A\nDpfLb3ENDng85bHrZ589AvPnz8euXbtybsKubvJ57zgcDpEOqCgKIpFIxt8H2wGZowl55lQmwZRt\nEC8JmWyzqqz6sSiYyHxMCrewOhf6XubjZUsCzDUwQk6XyycEgfq6KACDhsR369YdV101CVOnvoK+\nfUfhuefuQ/PmnXDNNWehXr1iPP74UpSW7sFll920/zjlG3ErVvwXrVt3Ewl8ZMVesuQFuFw+jB/f\nA+PGnYZFix6Dx2Ng9OirYLcruOmmx/Daa99i/vy1eOGF1Zgz52M8++yHqFevAfr2vRiLF3+LKVNm\noM4QXdMAACAASURBVG3btvjss7fxpz/1xYgRnbB370707z/U6sqgKC58/fVqdOzYY//nlYhlJW7V\nqnfRvXt/AEDfvkMwbNg4PPDA9di2bbM4lsvlwjPP/AMnnNACxx13IqLRKJo3b4N+/YbjpptSE4or\n2qhzOp1ixEm+PW3y748qjgBEZY4qptRjyBWrmgELKgvohhgMBsWbV7b10R/TwbT1VcXels+x5d4i\nWYTIIQ1r1qzFe+8twKRJIxGJRMTXqqqKPXt2YvDgzGV3AHj++UdwzDHHYtWqd8UN4IwzOmPjxs+Q\nTCbRvfsoADYEApvhdHrw1FNP5XRdVr8Pr9dbI2d5HQ5kr77f7xf2BLP9zIqPPvoIGzd+C8AJl6sA\nxxxzDN5992U0bNgiJclv+/YtUNUY+vcfnHaMpUsXoUkT6+Q/AFi7dgUAYNeuTdi27acM12BHkyYt\n0LLlyVi2bBni8bhoCjYvKge7QlUdf+MejydtvhjNOqHvYWUHpIWUhRVzJEF9U1biBqh4SK8sZDLF\nnecy+JfCAKyi0DMdz5wESH+3hmGIWUaGYVR6jZfnF+UbgkD3GsMw0L17D3zxxTpcffUTOOmk07B2\n7QfYu/dX/PjjJzj77Asxc+ZyzJ8/AyUlx6NJkxNTfhZbt36P4cMvFwl877//Bq688hx89dUqGEYc\nXbuehWeeWY5XX/0G06cvQOfO/WAYOvr0GZB2TW63G3v2/IY+fQZCVRPo3LkPbrvtEbz44mosWPAF\nmjdvAQC44YbhmDJlIkpLf085RiwWwb592zFs2GUoKPDD4XCKEAxaC/bu/R379u3AxRdPFF83ceIU\ntGp1Mm64YfT+/lwgGCzDhg2r8ac/3S4CNSKRCC688E/4+ONP8P7776f8HCpTFbLqaauqhZti7iOR\niLCD0mYbrweHHxZUErqui93iSCSCZDKZltZHJVcAQlSUR3zWzn4cEiH0IY56i8wiJBwOY/funXjy\nyTewb98vGDeuN3bs+AUAsHLlW3A6XWjZspV4vfnv+n//W4l9+7bj4YdfQiKh4733yof4Nmt2InQ9\ngd27t8PhcKB587MA7EL37lMAAPfff3+F1yCnJyaTyVr9+6gKudxMFUURs0yA8iGD1BNoxaWXjgVg\nA1AH9947FQDw9df/Q8eOqdWpN9+ci+LiRmmDHQHgu+++xOmnm6uYSdGHN2/ek2je/FQ0adIcDz/8\nl7Svl+ndexjmzZuPoqIiFBQUiNhZeh/XJsx9bzabDYFAQNiH5XRAEldA+Qc3OR2QF1OmNkO25Iqs\nfrS5aUYWMmaxkinunI6ZabgvpfdZWf0yxaebAyqoykW9VlRtosCByiLPL6IQhFx6df73v/+hS5du\n+PHHTTj55LPRtWsvlJUFMHXqWAAO3HjjDNxwwz8BAB9//BZ69bow5etXrXoTNpsdXbr0xqJFczB2\nbFc8+OAEeDwGgCRmz16OiRPvQ8OGjcXXvPXWf1CnzvGWP/fPPlsGm82Bzp27w+v1IZHQ9if5aSgq\nKu8ja9HiNNxxxz+xdetXuPjiLpg27f+ECFqy5L9wuTxo1uwkUJWpXAzZEYmEEYvF8PLLz6KoqA4a\nNjw+5XtPnz4HyWQc//d/VwIAnn76IRQVlaBz5/L1yeVy7XcZ+TB+/M2YPPm6vAIn5AqT1+tFJBKx\nHKRcESTiSIhSgEk4HBZrnrwe8FpweDjqBRXdAEOhkNhBoBu2OZ2HbGTxeBwAamXMNlB+LTTjg0Sh\nz+eD1+tNi3onvvjiC5x4Yis0adICzz//IY499lhMmjQUu3f/ho8+WozGjU8CAGTSL//5z7/QunV7\n1KvXAB079sX8+U+J13fseBp+/HEdAOCcc64BEMOmTd8CsGH69OkZr4GsiWabZW37fVQnuQpI2X5G\nw2nN80xefPFFhEJBAECDBiehXbuToaoq9u7dhYEDR6Qcb82aFWjV6rS07xOJhBAI7MOgQSPSngPK\nF4xvvlmLIUPGYPLku/Htt6vSdiRlunc/BytXrsCePXvgdDpRUFAgrDGBQEAIkoPFwap+yb8PAKIC\nV5l0QJ5bwtRWaD2qitVPFjIkqKgylCnVL9twX/oskMnNYXW8TEmAdAy32w2fzycCg2j+YS5/s3II\nQmXmTxmGgUceeQTDhl2ANm3Ogs3mwF13PYlwOICJE3siFivD5MmPo0+fiwAA27b9gEBgL8aMuSbl\nOG+++Tx8vhKMGNEW//73X9CtWy8sXLgBnTv3QUFBfXg85VUrw9BBVsC1a5dbRqID5Y6FRo1O3B84\n4YDP54fX69nfzxXBDz+sR+fOvdCz50D85z8rceut/8Cnn76JESNOx4cfLsFHH721X0zJlKcL+v1+\n2GzAypVL0KFD17SfjcvlwYMPvohvvlmFhQvnYsWK1zFoUGqgBjk6evUaiIYNm2HatAcQiUQsBXZF\nkLAi232uEfnmqpgcYKIoCkKhkLCDsrA6fBy1nzzl2VGk8K1mR8kVHNnWBxzc3puDYfkjUUiDUcsn\nnPsrJQo//fRTtG7dQXzdjBkL0bBhQ0yePALfffeV2NmxIhKJYvPmr3DppeWDAC+/fDJ++20bdu/e\nAaBcUG3Z8iUA4IQTToXTWYgdOz7E+PHlSX9vvvlm2jWYrYk1IT2xNiPfoCnEgqwlkyZN2v8aFy6+\nuLxS9eGH/4WieNCyZduU4+zYsRU9epyddvz33lsIt9uP446z7sFbtepdJJNJnHfeULRv3xV16tTH\nzJkPZDxfv78QJ5/cGY899ph4jKwxJSUlcLvdMAwD4XC42mdyHQrovUxpT2TPNFfg2A7IHAnQgGsA\nWVP9MvXByrOjgNS12fxcZY6ZTWhlEk3ZYtzNtkGHwyFCJvKpNgHp86eo6iUfY/PmzRg06Hy89tr7\nmDFjOT75ZAn69BmPTZu+xbhx7REIbEdJSVMMHHgRdF1HKBTCCy/8A/XrN0dJSV1xnJUr38PatcsR\nDv+OPn0GYdGi73HTTY/A7y/CJ5+8h1atToff74fdbhehDLqewK+/bkOfPgMtz3/DhjU45ZTUflqH\no3w91/U4gsFS9O49YH+seRJ9+w7FwoVfoHfvczBt2jX49tvV6Natv+UmbrmtPIk9e7Zh+PDLEQ6H\n0kTniSeehMsuux6zZk1FLBbC6NHXpB8I5e+lq6++C0899TR++eUXIf7z7YmSK0zBYLBSEfmZbIa0\nbpeUlMDhcCAYDLKwOowcVYKKdoQikYiYCQNAVKNkWx9VP8wVHLmPqra8Sa16iwDk1Fv08cefpFQe\n7HY7Zsx4BYYRQyhUigEDLsj4tfPmPQuv14cOHcpvnk2bNkfdusfjueceBAC0b98eP/749f6dLeDk\nkwcgmdwDj6cugIa45JJLxQ1C3qWsLf1RZEkkO0tNft/IFoWCggI89NBDAICSkiYAStC3b3lgyIoV\ni3H88a1SvnbXru1Q1Rh69Ton7bgrVryFZs3apj1OlZ433ngRTZueLPqrRo2agJUrF6fMCJF5/PG/\n4dNPP8Trry+2vAbaJPB4PGm9SdXBwU7glG1+ZM80V+DkD0+Z7IA8FJKp6Rz4AJ75bzPbIN5MQsZm\ns0HTtIwiJ9MxrYQW/f1ki0+3inGnTQ4AlsOHAeRUbbKC7MJ+v1/06kSjUQwfPhwdOnTEySefi3vu\nWYRPPnkbkUgYdes2xJQpQ3DWWQPhdLowZMgEEVzk9Xrx2WfL0LXrYKiqim3bNmPChP64777RAHT8\n5z9rcN11D6Rc/7Ztm9C79/kAbLDZ7HC53FAUBV9//Tl0PYEuXdI3Ww3DwJ49O3H22edbXJENy5a9\nBre7AI0bn7A/1rxcoNntdtx443RMmfIvJJM65s+fjU2bvrf8ubzxxitwuz1o27YDfD4/kskkwuEQ\nVDUOqqBdfPHVcLt9sNudUJT0yifRqFETDBo0BlOn3guHw5G3CBZXKAmhykTkV9S3JQeY2O12BINB\nIfrIwUA2VebgcVQIKtnWFwwGRSnfHENstvXlUsGpiWTrLcqFZDKJzz//DG3apFq5XC4Phg8fD8CG\n5cvft/5iAMuWLUqrWpx33iisXl3+NXXqlKB+/QbYtu0HAMDZZ18NQMMHH8xHx47jYRgGduwor2bR\njb+m90fJEfpkSSRLHTXN1vSbm9PpFD1sgcBvOOmk8lkhup7A999/hQ4deqS8/r33FsDvrwuvNz2l\nb/Pmb9G1a9+M3+vbb9ehb98Di+uQIWNht9swf/5zaa9dsOA5vPHGbNx++8PYvn27eG9YYdWbRB72\nmv7zB1J32s0VOEprNAdyyFUrSoKi8Qe14ZqZowfa7aeQBquNymyWPRIyVsl9ADKm+mU7piy0zPbB\nTLOvMvVhZbPgytdamWpTNmjjpaioCF999RW6du2Bt99+B2ecMRrDhk2Cw+HA3LnT4HS68eqrD+D6\n6x9Ct24DoGlxjBw5QRznt99+RihUilGjJmD69JsxYUJXOBwq+ve/ECUlx6NevQYp33fz5g3QNFUK\nnUjCbi9P4Fu58nXUrXs8VDWelsC3Zs1HsNnsaNcu3R4OlDsWmjZtA0VxoaDAD0VREI3GxHG+++4b\nFBbWQfPmLTB58lAsWfLftGMsW7YYbdq0BwCxuebz+aHrhkgpLK/oRwDomDEje7/2yJFXYdmyD7F4\n8eI0EVwVYeX1ekWFSXZMyVQ2CEMOMKH1LhaLic8iLKwOLrVPJeSA2dZHb8rK2vqyVT8OdoUq3+PL\nlrjq6i3asmUL3G436tVrmPbct9+ug99fhDlzpmPnzl/Tzp1SdkaNmpjydSNHjoeqqvj003JR1bFj\ne9FHVbfusVCUOti06Q0MGXIlAD9Gjx5dK6pRsiin4ZJkSSRLncvlgmEYVboRHwrmzZsHABgw4C4Y\nho4JEybD4XAiGAyhtPR39O07GLTTBwCff/4RmjU7Oe044XAQ4XAQ55wzxPL7bN78HWKxKAYPPtAE\nbbfb0aPH2Xj99dTBips2bcSzz96PCRNuQ+/e56Nr137473/TF1Mz5qhy8rDnG7t+KCpU2e49brfb\nMpBDto6Y7YC0oNYWMckc+ZDYpyAKc8+SnMBntX7R7KhM40msnqNjWln9sgmtbKLJqrdLrnRV9l5B\nG0A+n09UmyobYLBx40aMHn0JLrlkPMrKIvD7G+DPf74fqqpi0aInEQjshqLY8cQTH2HAgHGYN+8R\ntGnTKyUwYsGCGXC7C3HllWdizZrFuP32J/HQQ4uxfv1naNeuB+T7PQC8/TaFTqRXANet+xitW58u\nUvPkBL4PPngNDRo0zZj4umnTt+jcmQKPbEJYUZLfp59+gDZtOuDee2dh5MgJ+Oc/b8HMman91lu2\nrMd5512U8tiBSlx5v9dLL82Gy+XGrbdOx5Ilc7BhQ+aB8aWlpSgrK8X06f+AYRhCBBcUFEBV1byq\ni4Q5Il/+zApUXlDJ1yknQ5KwktcBFlbVzxEnqKjEKdv6aLcpV1tfbYKqcJFIBJqmVSrCvbJ/TGvX\nrsVJJ51i+dymTd+hX79ROO64Jpg69fq05199dS4KC0tw7LGpvTOKoqBlyw5YsOBpAEDTpv/P3nmH\nR1F9b/yzNbubRiChBUJvIaETAgQIiID0oiJdEUG+0lVUQEGliDRFQGlKR5EiEHoJvYZOQuiEEJoB\n0jdb5/fHZia72Q0dRH95n4fnCTszd+60e+855z3vCWD79uUsWDAFvV5PpUqvY7HcBQQ0miBOnTrz\nWH39p2B//0WjXOTZ299/8V0UhRTspctftVoS7777LgCXLh1AofAiODgYtVrN2bP7UChUFC9ekrS0\ndIxGA4Jgk9TNngSzERm5Fjc3d3x9cxrktvdv9epf8fMr7lQw+oMPhnP//g0uXz4v/TZu3BDKlw+i\nU6f3Aahf/w1WrFjpsv+ujJKcuWJGo/GVvf+PgvguiXRAkeqRRwfMw78BoiCDaIyIKmb232F6ejoL\nFiygSZNmFCtWnICAUnh5ebFhw4aHyquLi0VXi9DcivHmllMlCr88qdEkslyUSqX0jQmCQEREBJ06\nvcWhQ4dcfnv2tGuNRvNQAQNBENi8eTPvvNON8PDXKFCgCuPHr+fOnXiGDJmOp6cna9b8xsKFY/Dw\nKMzSpTGUKhWI0ZjJlSvRdO8+VGorNTWZbdtWYDCkEhb2On/+eY5Gjdqi1Wq5cyee117rQEaG3oGG\nfeLEXgID6zj1C+DWrXgaNmyBKBTh4eGBXG5T4Dtz5miuYhUZGWmkpSXTvHn7nHdGUvK7efMSDRq0\nQBAEevUayogRP7Ju3Ty+/dZWN+vkyaNYrWYaNWrl8hy2HDYdkZHrqFatDrVqhVOlSgijR3+Y63g4\nduxQ/P1LIJOpWbFihfS7fd0p0YH/tPLo9oYQIClOi87Zp2lPVIYUnbii0WcymfKEjJ4z/jMGlT2t\nT8yXcBWNciVq8G+m9YlRONGbYQtr6x5qFD6psXjs2DFKlw5yee7k5Hs0bvwGX301k+vXz7J79zaH\nffbv30r16q4LuXbs2Ivz509jNJqoW7cuMhlcu3aUSZP6ExLyDmBh9+6VvPPOKEDG2rVrn6jfLwP2\n0U3x/j+uUS4uhkXFp+TkZNLS0h5b+edF4vLlywC8/vrXXLt2hFKlqmGTTbcV6PXzC2D+/Kn07v0a\nbdtWoEWLEqSnp/DHHzMYM2YwiYl3pLYOHNgqqUC6wvHj+13IqUOBAoUoXrw0c+facu0iIzdz8+ZF\nRo2aIe1To0Z9YmKiuXXr1hNdn7hoEemAT3r//8kIlSuIntcnoQNmZGSQlJSU563Mw0uHIAgOeVNi\n1Mee3RATE0Pjxq/x55+befvtUfzyy1EGD54PFKBLl24UKFBAcpjmbFuMXOVEbsV44eHS6rlJueeW\nh+Uq10oQBB48eMD//jcAL6/ydO/+Li1atGT+/PkkJiY6nTOngIGYsmA2m4mLi2P69OlUrVqd9u07\n4u0dxK+/nubttz9m2rSPKFKkMrVqNWDgwDYsXjwCgGnTNkrOlN9//wGNxpsaNWxz87p1y+jcORCz\nOZOxY3/n009/kq7p4MFNyOVK6tVrJFHvxGd38+Z1B6q2OG5dvRqL2WwiLKyp/RXh5uaGu7sHiYm3\nCA0Nx2DIRBAcHVk7d/6Fm5s7hQoVdbonALGxZ7FaTTRq1CprHEsnJKQxEycu5tChjXz2WR8iIv6g\nSJFiD13TZWSkc+vWZbp3H4BWq+Gzz6aSmZnM1KlfO+17+fIFLl48ziefTOK994YzcuQo9Hq9wz4i\n5dK+7tTTsgHsDSF7pcqnHaNFZUhRct9etl+kPuYZVs+Of58F4QKCINC/f3/Jyyx6ZB9G68ut3tLj\n4p+k/NlH1/R6veTV0Gg0uVIfngVRUccpV87ZoDp2bA8ymYLy5Svi71+Sxo1bM2PGV9ICLiNDz927\n16RoQk6EhTVBoVCzfv1CtFotpUuXpVu3z/H19WPevKGAmkOH5lChQhWgIAMGDHzu1/Y0sJe7tY9u\nPu39VygUuLu74+3tLSn1PI8igM+Cpk2bAh7Uq/cmJlMqPXr0l7YdO7aX27cvsmvXCsLDX2f69DUM\nGfIdCoUbbdt25eLFI3TvXo+pU79CEKxcvhwjCZLkhMlk5N69u7Ru/ZbL7W+++T6nT+9FEKz88su3\nNGjQnIIFsydatdqNWrUaOShBinhcoyTn/RdLKDwtfeN54GkNNvtF2KPogPYQaSB5E2oeXgZEmp/J\nZHIwbsR5Lykpic6du3D+/Hlu3ryOl1cBvL19CQlpyIYNF+nXbzqCoKZUqTKsX7/eqW2R6peTPpib\nqt+j8rRkMpnT2J7bMTlzrexZMaNGfUWNGk3p2vVT5s2LonXrQfzxx2YqVgykXr0GdOr0JnPnziUy\nMpITJ05w5swZoqKiWLduHVOmTGHw4KEEBVWhTp167Nx5muvXE6hcuSldu36CTudJXNw5oqOPEh7+\nFp07VyAx8TylSgUSEFCdgIBSWXLiMrZuXUaNGi148OAe/fu3ZNasIZQoURp3dz8nxd6tW//A378i\nNuqdCg8Pd5RKJadOHcRqtVCnjjMrYdu2FXh7F3ZpnMbGnkQQBMLCXkMQbFFIe6GI/fu3PNQBt3nz\nGgoUKJTltLQZHgClS1diypTlREcfYN++dYSEhOfaBsDKlYvR6TwoXz4YhUJJgQIFGDz4G7ZtW0ZM\nzBmHPKYpU0ZRpkwlSpYsT3BwbUqXDmTWrFlObbqKLj5N3SkRIlUdeGYhDLE9+/wvcZ1hb1jlsRae\nHv8Jgwrg7NmzksiEfRKpveEBj6639CrDnlaWUzL8RUXXLBYLZ86cpmxZ59yYvXs34eubTeUbOPBb\nTKYM/vxzAQDbtq3Fzc1RWls0RkTKUVBQKNu2rUSlUlGlSjD79//OzZtbkMluAGb0+uvMnPkORYs2\nID09nbS0tBdynY8D+/cpMzNTWog/r+imqyjDkyzsn9cgaLVauXXrDoULN2LTph+RyVTUrBmKwaBn\nwICOpKU9oHnzbqxadZL//e9rypevwrFjeyhatAy9e3/Mb79FMmTIBCIjV9CjR1OSku7x+uvO+VOC\nILBv36Ys+fWKLvvSrFknZDKBn34aR3LybQYO/NZpnzp1XuOvv9Y983WL99/b2xuNRuMgHZ+TDvii\nI1TPA09KBxTHzDzk4UVCVNoVqek56XVWq5WPPhpApUqhLFgQhYdHEQYNasyPPw7CarVitVpp1qwj\nK1dewc2tJN269aBjx45S2yI1L6dT8mERqNyk0EWvvSumS255WK5yrWQyGVFRUUREbKBXr1FZ80gm\nNWq8xhdf/MayZecoUiSIjRu3sHbtPkaOHE+vXn3p0qUXffsOolev3ixbFkH+/DUZPnwRCxeeo0iR\n8hiNRkaPniedZ9KkfsjlCpYvH0OTJu2YN+8o167F0q3bJ1I/9PoU/v47gUKFitGtWzDp6TeZP/8A\nRqOBKlWcmQLnzh0jJMReVMpmNOzbtx4fn2IYDIasMTLbADl5ch/lylVz+fx37lyNj09RFAqFS6GI\ny5djqF69vstjAU6fPkjlytWzxmCbRLrYTsmSFfj66zkIgkViWeSGHTvWUrNmPYfratq0PeXKBTJh\nwjDJYZqQEM/lyycYMmScNO737PkJU6ZM5cGDBy7btndsiXWnHkce3RXE/ClPT8/nIoQBjiIoRqNR\niqbZixj92yjwrwL+MwYVZC8oxRBpTsPjedL6XqZsun10zWKxPHN0DR6//xcvXiR/fl88PfM5bYuN\nPe2QW6VWq2nfvhdr1szDaDSyd+9WSpe2SWvnTIpXKpW4ubnx9tu9uXHjCkZjJikpNzl/fg3h4e8z\nduwZChWySXTfvXua5OTDgFuuhX6fBY+6FzkN2cfJT3vW/oiiAzqdDoPBQFJSksuFvatjnxWDB9ty\n4fr1m8TZsxspUKAkGRlp9OrVmPj408hkCoYOdTRsLlw4S8WK1REn2xYtOrFw4W4yM+8D4OHh5UTt\nANizZzMBAZVy7YtcLqdKlRA2bPiNwMAaeHk5v4e1azfi4MEDpKSkSL89y7eZUzreVZTnRX/7z9Ng\ny2moZ2Zmkpyc7NJr+qobiXn4d0NU9RO9/zmNG7lczoYNGzhx4gx9+nyNn18hfvhhBZ98Mptdu9bS\ns2cQcXEXUCqVaLVaVq+OIjCwE9u378LLy4vjx49L47L9uC6O4a4iUGazGavVmqsUuivnq/jt5Ox/\nbgIVVquV4cM/p0uX4Xh6+uDmZhMpAiTjcuvW32nXbiiffjqXCRM28NNP+5k58xBhYZ2QyRRMnbqR\nNm36UKZMVeRyBUuXfkfr1oNQKJQYDJnMmTOeixdP4O2dn+nTtzN06E8sWjQenc4W2ROxaNEEQGDN\nmqm89VY/Zs/eh7u7DwkJV2nbtrtDv9PTU0hOvkebNp2dnuWpU/sJDAzJqj8lkxhCgiBw48ZV6tV7\nzfkFAE6dOuhUgkUUitDrM0hOvp+lGuh6jL19+yqNG9scdDlVUDUaDZcuXUSl0hATc5hvv/3EZTsG\ng57bt6/wzjv9nLZ9++0cEhOvExGxAqVSyfTp31KoUFHKlAnEarWNywEBZahb93UmTnz4esTesFKp\nVI+UR3cFe0GK5ymEAdk0RTH/SyztIhpWokJgHh4P/wmDSvyozp8/z8mTJyUP7PMwPP5JuKKVvezo\n2vHjx11GpwD+/vsWNWs6epJ69hyMQiFj0aKZXLlyhvr1m0vS4YIgSGp3Yo5RlSo1UavdmT17PDt3\nLkahKELjxv2Ry+UMHDgd0GA0eiAIqYCRuXPnv/iLzoIrQ/ZR+WmPg6eRwvX09HRY2D+vekquMHfu\nPKAQJpOBjIy71KoVzgcfNEOhMNGs2Vt4exdyUmdKTLxN/fr2sugy8uf3k3KjPvqoA/fu3XMaoC9f\njsl14hXRrl0vQOC99z51ud3d3ZPg4Nps3brVaduzfie5RXle5P2HF2Ow5VQHFPMvX5W8vTz89yHS\ninLLSTKbzXz99bd88MFYh/IL4eFvsHRpFPnyBTBoUEMiI22iAOvXL+PmzSOA7f197bWmlCpViqSk\nJAfFwNwiUA+TXReNppzKgyI9KucxuQlUCILAmjVrSE010KxZV2lxbIuu2Ba1333XF43Ghz59hjv0\nITMzg99+G8tbb31Gvny+0u8zZw5DodDxv/+N4sSJA/ToUZNVqybg7V2S33+PpXx5m8GyffsfNGnS\nVTrur78Ws2HDQnS6fMyff4D33huVVXtqCwqFmvLlg6W6WQBbtixHo/GmcOFiTs/y1q14wsNbIpPJ\ncXPTSNS7mzfjMBj0hIc3dzpGPM7VmK9QKDhxYg9KpRtFixYnLS0dk8mIvUEUHX0Cq9VMnTpNsD0S\n5/F9//5tVKwYzPjxv3LgQAQzZ07KepbZ7axZ8zsajdbl2iZfvgJ069afRYsmk5mZwenTe+jRYzB6\nfQaCkE2H69p1IL/9tuChZTtE2NedEuXRH9ewcqXwZy+EYTAYnjlFwD7/y35OEPuZF7F6PPzrqQfX\nugAAIABJREFUDSqr1UpERAS3b9+mZcuWREdHS5GoF2l4vKgIlRjJEZNa/2nRjNOnT1OqlHMEITn5\nPkajnrAwx9pCcrmc1q27sWHDIgyGNBo1ag2Am5tbrtTEKlXqs3nzcoKDaxMQUI0bN2z1qGyUugDg\nHsHBHwACVquZc+fOPffrtId9/S5wNGSfF570vbRf2Iuyqs/Czc4Np06dAmQ0aPA+x45tB0wcPboV\nQchk/vxIzp07QalSjpNQQsJVLBYTISENnNq7cOE0YWFtARNfftkfmcyWDKzXZ5CYeJeMjFRatuz0\n0D7t27cTgKioQ7nuU6tWYyIinPOonhdyRnnEReGLlL1/kU4TUX1MfK/T0tKckqzzkIfnCZE1Iqqg\nuhpPly1bho9PEWrUcKaeaTQ6Jk1aRocOQ/nxx8F07VqZOXOGUrNmKD/+uI0mTYYC+UhJSSMgIIBR\no0ZJNO3civvmZmjZG032BtXD8rByE6hITExk1Kiv6NZthOTclcnkWCy2BWp8/Hmionbw8cezMBiM\nDjWbJk7sg05XgPfe+1hqLz09ha1bl1G/fid69gxl3LjOlCpVGpAzbNgP0gL45Mk9pKen0LPnIB48\nSOTDD5vz889DAIFfftmFv38pqc2tW5dTqlQ1tFotZrNZilTs2xdBqVJVne7bpUunsVjM1KuXPf/L\nZLZ0i/37N6DT+SAIMofcKHh48XewpREULlwanc4drVaD0WjMYgbYDKKtW9dRoEAh6Zm4GiOvXj1L\neHhrqlUL5dNPv2f9+vmsX7+CtDSRYSCwc+c6goJquOwDQPfuA/H29qZv3zao1Wpef72jZDDaKP96\n8uf3o3nzNxk3bnyu7eSEvTy6XC53kkd3hYcp/Iky+/ZCGE9rWOXM/xKFR8Q0jbySG4/Gv9qgmjlz\nJuXKlePrr79Go9Fw5swZunXr5uRR+jdAjIaIE46YVPuiomuPaxCePOnaoNq3bzNubp7odNleRHHy\nevvtvgiCBa3WAx+f/KhUqocag15ePgB8/vmPBAVVJi4uVtpWr15nwMzhwxspV84mgTp69OjHvczH\nRs78KFFl51VTf7Qv7mpfT+l5CVi8/34fQEbz5u9y6NAyQCAl5Q4zZ25Eo9Fx48ZVatUKczgmMnIt\nHh4FUCicC0bfvXuTsLDX+emn1cTFneXXX6fj4eGBUqliy5aVaDReeHp6kRu9A+DAgc34+RVm587c\n603VqdOYrVu3SguRF5XjJEZ53NzcUKlUmEwmSVX0eUatXlaOlmgoenl5uZSfzkMengfsVf1yy2Oy\nWq38+OMMOnT4HznHAxtlz4RKpaJ37yEUKxZMcvJtSpeuxODBP1CsWAUGDfqYkJBueHoGAjJmzJhB\n7dq1cy3Gm5uhldNosp8rc8vDyk2gwmq1Mn36T6SmpvHttz0ZN643d+7ckCiIarUb48f3oWzZeoSE\nNJQcHHp9BleuxHDw4CaGDZshMQLS0lIYOLAJVquJHTvmExDgz+LFZ3B398LXtzShoeFotVosFgu/\n/voNpUvXJiJiOX36hGAwJNKoUTvy5SvmpKB34cIpwsPbSyIIYkkJG4OgmdPz2Lp1BT4+/k5jviDY\n6hGWKBHolBsFAjt2rMbdPT9ublqX78n586cIDrbJqSsU2c5kcW105swhAgPF3CxbDpU94uIuYzRm\n0LSpTXK9SZO29OgxkDlzvuXy5VgMBgOpqWlcvx5L+/Y9XfZBxIgRP/DgwU2qV8/Os5LJZJKwR0ZG\nBm3a9GLVqlWPzNfKiZwFeEV5dFeG1aNqUNkbQlqtloyMjGdyttozGQBJRVqks2ZmZuYZVrngha8U\nw8NtH7iYUFepkut8iQULFqBQKKT9PD092bNnz0PbViqVLF26lCNHjlCoUKFXauH7uMgZDbFxiV8N\n0QxBEIiOPkvp0s7P7NixfRQuXFLaz2QyZ8kvW7IGQm+MRvMjr8FsNrNnz9os5aGVBAdX5vr1aGl7\nWFgnQI1Wm0Fioq2tzZs3P9drFOlOOYU+/un7/zDY11PSaDRSXsKzGFZms5mzZ8+iVpfkhx8+Jzk5\nBoCvvppN/vx+ZGSkoden0aRJS4fjTp48SEBABaf27ty5gclkpH79xhQq5M+nn37P2rXzuHDhHCqV\nihMn9hEQUB6z2ZQ16Tpzwc+cOUZGRjKjR8/i7t1rJCXdd9n3ggWLkj9/QY4cOfJU1/40EMcrLy8v\np6jhv2GysTfaRBWzV/mdz8O/F6Kin71gRE5ERkZisUBwcD2n78dstiCT2b65hQunc/NmNKNGzSM+\nPo5+/ephNGaiVKr45JOP8fQsS0BAM0BGQkICJUqUdDpXTiU+x3O5Nppyy8N6mEDFjRs3WLhwITNn\n7qRPn4nExp7j3Xdr0L17FWbP/oI//pjGzZvXGDVqNjb6miDVSJo8uR/+/lVRqzX88MNIevQIoVOn\n4iQkXKBWrZasWnWVceNW4e3tx6FDm+ne/TMgu5jxhQsnuX37EosXj6Zz54H89tsRzpw5SGioY22m\nuLhYMjMzaNXqbek3hUJBenoSmZnpNGrU0qn+1MmT+6hYsSb3799l584NzJ07mW+/HcJXX/UjOvo4\nCQmXGTDgTUaM6MPEiZ8xa9YE1qxZxr59mwkIcC1AZLVaSUy8Q3h4C7tfZSiVKtzd3VGpVNy+fZW6\ndV+XDPOcz27DhpX4+Pii0WTXNOzWbQB16zZh5Mj3yczM4ODBXcjlcipXru1wTTnh5mZzFl+4cE56\nziBzoDh6eeWjefN3GDPm66eixOUswCuKIOWkmD7O2lY0rJ6HEAbYrlcul0v5X2lpaVI0Lc+wco0X\nboHIZDJmzpxJamoqqampD6Vr1a9fX9ovNTWVhg2d5Tjt0a9fP0JDQyWvQXp6unTOF/2Qn+Uc9rWw\nXuVoyI0bN1Aq1fj4+Dptu3o1lvLlg+1oT9as/Cg3ZDJIT0/FYjGwffvDaVgLFsxELodq1Rqzc+df\nBAYGcu3aOUnAQK3WIJf7IAjJJCXdQKGwyamuWbPmma7NXmhCHHD+jfl29t4phUIhSas+TaHaadOm\nAXIsFjcSEy8ARgICgiWP4d69G1GpdOTP7+dwXHz8ZYKDazm1Fxm5Hnf3fKjVtshH48ZtqFKlNqNG\nfYAgWLl69Tw1a4ah1erQ6dyxWgXS09McktaXLp1DiRJlKVcuCG9vH5Ytm5tr/2vXbszGjZuAl6vC\nJ3p1c0YNnyVZ+GX0/9+gVJiHfz+sVit6vV4SI3JF9TObzYwYMYo7d+5y+PDuHAtKAbPZhEql5u7d\nW6xcOZU+fUZQt+5rzJu3g7S0DAYODEevT8fd3Z2RI0dw/76ZqlV7AXKMRiP58xfgzp3s2niulPjE\nvuY0msS5Pjd6YG6Fgs1mM99/P4mGDTsSEFCO9u27s3jxAWbN2kuVKs05enQfS5ZMQhCsfPhhKN27\nV6Z375r07l2Tzp3LcvnyKW7cOMHIkW04fHglgYGVqVSpFvnzl2LcuOW4u9siCIsXj0Wt9uSNN2yl\nJywWC8OGtUYQzBQpUpQFC47SqdMAbty4xv37d52EGP76ay758wc4FVbftGkJHh5+FCpUKGtBnc6m\nTasZM2YAcXEXOXRoPV261GDq1MHs3LmMGzfOYLGkIAgmypYtR8GCPqjVVu7fv0ZU1GZ++20sly6d\nJTb2MD16NGHy5FFcuBAjnS86OgqAqlWd5xKQcfXqRaxWM6GhTdHrMzCZnGvnHTu2l8DA6k5Hf/nl\nDAoWLMigQe+wbdtflC5dXqqpZU+xtMeCBT9RpEgADx7cZs2aZVkGRvZ4aVMX1PLWW33Yvn0HUVFR\nTsbQ48K+7pQ4h4ttPa5Bld0vZyGMpzGsLBaL5GQT87+USiWpqanS+iLPsHLES1m9P+6NfpYHYm9Q\nvaqwX8SLkrG5RUNepopgbjhz5gxlyjhGp8QP/N69u1LBXjc3jYN37vr1a1gsRmrWDGPp0hlO7dpj\n8+bltG7dhY4duxMff0WKTt69Gy/tU7hwEJmZ9wkJaYbFYluc9+v34VNdk6tCvGJy8b95cSn2X6Rv\nid6uJxEc+OGHnwArOl0hZDJbou3w4ZMRX8OjRyMpVKiEwzG24s4PXCYZHz++z6meyDffzEGvT2L6\n9LGkp6fSuLEt2iUqNLm7e6BQyNHrM8jIyCA6+jAtWrwJQJ064ezfn3t0snbtRi80j8oerowR+6ih\nTqfDaDQ+tXGbZ1Dl4b8AUdUvNyU9cZ8HDx4QH3+d4OAaTJr0AR9/3Jnk5KQs56MRpVKFXC7j++8/\npnDhYrRt+x6CIODu7sns2VuwWBR88EEoGRlplCxZkq5du3DqVCz+/i2xLXO0lCtXgdOnT+eqxAfZ\nLAV7o0mUcndFDxTnE1dRq5iYGNauXcfbbw9x2FaokD/Dho2jZcu3USo1TJy4mV69xtK4cU+qVn2D\nqlXfwGg04u9fhdmzD7Jhwx2WLDlDnz5jiY09Tu/eo7Gn4G3YsJDmzd8DYOvW1XTsWI6LF48SFPQ6\nM2fuxNe3KDKZjHXr5uDpWQhv7/wOBkRU1C5q1GjsdC+OHNlGQEAgs2ZNoHfv1+jcuTIzZgzj0qXD\ngJUvv/yF9esvEhFxnuXLjzJ79laaNXsblUrHhAmLGDNmLhMnLmXmzAiWLNnPypXHAIGBA78hMDCI\nEyd2MHBga9q3r8748Z+yYcNS8uf3dxI8ErFt2zp8fHzR6XR4eHggk8kwGo0O6re3bl2hadMOTsfK\n5XKmT19Famoip0/vpUmTtlJNLYVCiV6fgV6fPU4LgpVTp/bx5pvv07ZtN3799TuMRqPL8dLTMx+t\nW3dn+PDPn7lWlH2dKLPZTFJSklRb9UnhyhB6EoXBnLlb4vpCFNZITU2VjD6zWWQo/f8uEP9SDKov\nvvgCPz8/wsLC2L17t8t9ZDIZJ06cwM/PjwoVKjB27NgnyknQ6XSvbIRKpPXZL+Kfh1rcs+Bx+n/6\n9GlKlsyWPRc/mlu34rFYzNSt2zArP8rxGnbt2oS3d34GDhzN3btxXLp03mX7+/dHYjCk0b37R9So\nUQel0o3Nm3/PilJle65CQtoAcvz986NSaYCSDjTJx4EroYkXVQj5n4arQsGPoqJdvnyZe/fuAjqC\ngqogCInIZArKlbMZ1DIZXLp0lvLlHROUL1w4A0CFCoE5m+TatYsEB9d2+E2j0fH++8PZuHEhbm7u\n+Po6RrtsETc3PDw8uHAhBpNJT3h4W4xGI2+//QGJifGkpCS5vIaKFauRkJDArVu3Hus+vSiI6owi\nHfBpjNs85OG/APtSGa6U9MAmDLF9+3YCA2swevRsfvppHcnJ8fToUZMtW9YgCKBUKoiLu0xs7D6G\nDp0EZNeI8vLyZt68rchkGvr1q0dmZgYtWjRHLhdISLiLQlEBMAD5CAtryKZNm1w6MR8mXgHkWsBX\npVI5zSMGg4Fx4ybQvv2H5M9f0OEccrkcq9XKihUzaN9+CBUrVuH11zvQo8dgBg/+hjp16mI06vnu\nuz+yqNS2c86Z8wXe3kUJC2su5SXt2bMGvT6DOnVeo1evekyd2jcrx1XGsGHZkt4ymYwDBzYSEtIi\nKzKjl/79/fcN2rTpJu2bnp7K3LmTuXQphpiYXezatZzKlYOYNu0vNmy4QpMm7fH0LEjVqvWxWCwO\nzqLDh7dTuHC22IU9DhzYilKpoVWrLnzxxQ8sXLibJUsO0qbNO0RH7yMyci1paSkcP37Y5fGnTh2y\nK9Niq53n5qZBoZCTkZHO0aMHsFothIY2cXm8h4cXAwZ8DQgIgkpqR61W4+HhgUKhyBJM0rN9+yYE\nwULLlp3p1+8LlEo5P/00Ptf12uHDBzl06CBxcXEOtaKelqVgXycKIDU19anbymkIPY4QBticBa7W\nR/bCGiLVXTRqxe/9/6th9cINqokTJ3L16lVu3rxJ3759adOmDVeuXHHar2HDhkRHR/P333+zatUq\nli9fzqRJkx77PK9ahMqVyMG/bRF/4sQpSpasKH0kFosFlUrFsWN70Gg8c514Tp48RJkyFfHzK0Lx\n4qWZP3+ay/2WLv2ZwMDqqNW2ehzly1dnx441WXlU2QZVtWqNAE8OH17GG2+8C3gAMrp27eqqWQni\nM3jVqZXPCzkHMHtlOrVaTUZGRq5UtCFDhgAyihatyaFDs9HpvClUqKTDPn//fduhngnYBCO8vQs6\neRWtVispKfdp0OB1cqJ9+56o1VrkcteJyTbI+Ouvpfj7l8iiQZjx8SmIh4cXK1YscHmEQqGkZs36\nbN++/YVHXx63/ZzGbVpa2mNNtP9EhCovWpWH5wmR6mcvspQTFosFi8XC+vUbqFfPljsTEFCG2bO3\n0qZNN2bMGML48YMQBIGff/6WYsVKExhYK4tuZEKtVmV54rXMmbMJq1XBhx+GYTQaWLp0KVqtgCAk\nAxbgPqCga9eurF271qEfD5NPF2XEXRX9dRV1s1gsHD16lKio47Rr11dqT1xwurm5MXv2SJRKHe+9\nNwy1Wo1WaxsL9Xo9M2YMp1attvj6FgZs36XBkMm+fRH07DlS2t9iMTN//tfI5Qq++KIVvr7eLF16\nGjc3LQUKlMTfP0DqU1paMn//fZPOnftlRWZsBsSWLctQKrWUL1+ZvXu38uGHrejUqQIRET8DFubP\n38uKFaf4/PMZVKpkU8U7fnwPZcpUzao/JZfmV0EQuHw5hsqVHZ1oIg4c2Go3p9hyo/z8/OjZcwiz\nZ29FoVDj4+PNiBHdePfd5pw5c8zh+Js3L1G/vr06oI2Cp1a74e7uzo4dEfj6FsJkMuKq5iHAmTMn\nUavdmDdvPAkJ1+22ZDvy5HI5q1cvoEKFYGQy2zz64YdfsHPnny5zeE+ePMLFi1G0avUOY8eOczCG\nxOLwT2sMiWrV9m09i4qfvSEklmDJzbASKX8P65uY/wWQkpIilUX5/2pYvfBVZUhIiJRQ2LNnT+rX\nr8/GjRud9itVqhQlStjoREFBQXz11VesXLnysc/j7u7uFLF4kQ8ytwhPziKw9iIHT8qD/SdfRKvV\nSnR0NEWKlECsH+Xm5oZCoeD06UP4+RXP9dibNy9Rp47NS9S16/84e3Z/lnxqNtLSUomLi3aQg23W\nrANXrsQSGBjI9evZSn9ubloUivzcuhVLzZpNsXnsvNm5M9Ll+e1z1F5GId5XCa6uz161R6vVuiwU\nvG3bNgDkchOCYMHd3ZOKFbO57Pfu3cFsNlKvXrhD22fPHiUgwJHWBxAbexKQUaGCaxEatdoNvT6R\nuDhn54qIU6f20bhxaxQKpZRnVa1aKLt3RzjkWdmjevUGbN68Jdc2/ymIxq23t3euz8AeeZS/PPzb\nkZmZKVH9XNHrRDEHmUzG7t27qF3bRjuzzX1WevYcxoQJi4mOjqRXr4acPRtJz562+cJkMqFQKJDL\nsxd8Op07v/yyifR0PcOHt2b06N7o9ceBNIKD3wTyIdar6t27Nz/99JN0rFjA15XR5Gqcyc0AEymO\nQ4YMpU2bD6RaWvbRrIyMVLZsWU6vXqPtalLJcXNz4/DhjTx4kEj//t84LJznzh2FVpufN96wCUec\nOHGIAQNacPv2NYoWLcmUKZuYOHEtBQoU5uDBzbz+uqOzMSJiPu7uBShRooz0m1qtZu/ev1CptHTo\nEMj48e/h4aFg0qRVtGrVHW/vohQrVtrp2uPjrxAa2kSaV8QoSnp6Ovfv36FBA9eS6LGxpwgMrJnj\nVxkqlRq9PgWLxcTkyb8zZ84WfH19+PTTzgwZ0o379xNJSIjDZMokPDxbUMNRVEdOTEwUVaqEIAgC\n6enpTpLtAMeP7yU8vDVly1Zk2LAeLgwvW+Tr6tWzdOr0Hunp6RgMmTRr1hE/v0JMmjTC6bqmTfuS\nKlVC6Nt3BLt37yE62iaqJbIUxKK5T6PGK+ZPiW3pdLpnlkfPaQjlpjD4MLn2nO2J+V+CIDg4bf+/\nGVavtJv+SR5ATlGKlw1XuTmvssiBK4PNPqqWmJjInTu3KVmynJMxeO3aRcqUcaZ4ASQlPcBozKBh\nwzcAaNjwDdzcNCxbNs9hv5UrF+Hu7kHFitkUsiZNWmC1Wrl16zJ6fRqpqQ+kbUWLBmK1Grl1K4aQ\nkDewTY4yB09jTul58Rn8k9TKVwn2Ahb2hYLFhYVMpuDGjcMULFiD+/fvOkyMe/ZsQKv1cpK7jY+/\n4kTrA5usvqvIFZBV5ySZQoWKMX361y77mpBwnYyMZDp0eE/6TS6X06XLh9y9G4fJZJSKXtvT6GrW\nbMCWLVukmjAvCk9rjOT2DGy1Vl4uHTAvQpWHFwVRrCi3Ar6QLQxx5MgRihcvQ758BbK22OYmQRAI\nCqrN4sV7MRqTEAQrfn7Fs6h+VpRKZ+l1jUbL1KmruX79ApcuHWDWrJ20bj0Uq9WXL788glpdFLAZ\nTSNHjuTjjz+WjKacRp+9el/O+TI3gQqj0ci2bdu4du06v/02lmHDWnLu3FHJKFMqlUydOhhPz8K0\na9fdqf9z546mbt03KVSoMIJgRa/PwGDIZNu232nT5kN+/XUSXbpUZdSotty9e5ECBcryyy97qFix\nOgaDgaNHI9Hr0+jcua9Du3v3rqNq1ew8qatXL/Lpp905e/YwFksmbdp0ZcWKs4wZs5jy5asRFbXL\nwaEmIikpkczMdJo2bSP9JubqXL9+HkGA8uWDHIoDi0hMvE1YmDNjAWDHjrXodPnw8/OjcGF/xoyZ\nw+TJv3P//g26davP999/gadnPonNYns+INIhBcHK3bvXadasIxqNFp1OZyfZbjOsDAY9iYk3aNeu\nBxMnLkKvT+K770Y69SUiYiUqlYqwsOa4u7sjCDZjcfDgsZw9e4DLl7NTGKKi9nPnzhU+/XQyGo2O\nTp36MG7cBId7Y180V6/XP5Gkub0gxfOWR7c3hGy50NkKg+K/JwkCiJE0UVjDPjJnMpkwGo0STfe/\nihdqUCUnJ7NlyxbJU7V06VL27t1LixYtnPbdtGmTpMITGxvL2LFjad++/WOfy8PDwyFC9TIiPPYG\niKvcnH/LAkV84fV6vTRRXL9+nYCA0pJCmz3u3btD9ep1XLa1e/dWNBodOp2H9FtYWHO2bVvlsN+u\nXRFO9YzkcjnFilUgImIx5cpVcIhSVawYAnhw6NAi2rbtC3gC8MUXI7BarVJ+lCAIr5T0/KsK+0LB\nX3zxBQCCYEanK0C9eg2zcuQaZ/0ucPLkfgoXdvRWWq1WUlOTqF/fWZAiJuaYy8gVwLFje1AoVIwe\nPYOrV89w6VKs0z5r1/6Oj48v7u4eDr+XLVsZNzcN27atw8PDA5VKhcFgIC0tjYSEeAYO7ExaWhpR\nUVFPdV9eJuyfgVwuJzU1VfI8Pm0i8uPClTMl71vJw/OAfc0pV0p6gCQMoVar2bp1KzVqOCv6qlRK\nZDLQ6TxRq20S1R9/3IHdu7e4ZBuIqmOzZ49DrdZgtcK6dXPp1q0Lqam3OX16NyNH7katzg9oAC1z\n587l/fffd2n0GY1G5HK55JCzr0XlKtfKYrGQkZHB11+PZcSIeUyYsA6DQcGwYW3p0iWImTM/JSpq\nJwcPbuZ///vO6Xq3b/+dpKR7DB36HXK5Ajc3Dffu3WH48I6YTHp+/30sGzfOIjS0EcuWncNqtfD2\n2wMB0ajRsnLljxQvXhWQSUacyWTg9u1rdOzYm/37t9O7dxM+/DCM27dtkZTffz9Bnz6j8PT0xt3d\nA0EQSEi4mkWvE3L0cSVabb6s2oGO2LVrHd7ehXF3d8disdjVn7KpAlssFmrXru90HNjmhBIlKiJS\n79zdPShXLohZs9bTo8cgYmOPkJlp4P79v6Vj7MesY8cOIpNBlSq2dYlcrshaB+iy+pLOhg2rcXNz\no2xZW42sL7+czu7dazh0yLE8z+bNK6lcuUbWfZVn5by7U7FiFcqUqciECZ9I92XWrPFUqRKCn18R\nAFq16squXbuIjXWc0+yNIVHSPCUl5ZFONFcKf67k0R+nrdwgCmHYKwxmZGRINdietj1RWEOkKYoK\nmuLf/0XD6oUaVCaTiS+//JKCBQvi5+fHzJkzWbt2LWXLluX69et4enpy48YNAHbu3EnVqlXx8PCg\nVatWdOrUiREjnMOrueFl5lAJgiDxp0UD5Hnn5rwsg9BeOlykxqlUKs6dO0eJEuWcjsnISMNozCQ0\n1LWk/bFj+ylSxJEO2LPnIJKSbkviFMnJD/j77zg6d3ZW6mvY8A1iYk4QFFSJ+PhsT1DNmo0Bdy5d\n2p81SasAL27ciOfBgweSt0WsbJ+Hx8P9+/ezBmLxnhXDYLiDp6cvCoV9VPK8xKEXERt7ApBRpoxz\nDar4+KtUrRri8pz79m3Bz68YJUqUo1Sp8vzwwxinfY4c2UWVKq65+JUqVWHHjnWAjVbh7u6OQiFn\n8OC3UavltGjxFrt27XolI1SuYJ/r5ubmJklMvwwp2jwjKg/PG2LelKuoDzgXzo2M3E3VqnWl7Waz\nzeMuRrfv3LnF/fsJ/PDDn7Rs+TZTpw5ky5a/nNo0Go0cOrSLkye3M3HiUkaNms2WLcvZvHkJQ4YM\nZseOxaSk3GPYsM1Z770bUIbVq9cwaNAgh/YsFotDdE2cj3OrXyX+vmzZMry9C1GnTjOqVq3DzJkR\nLFx4ksaNe3Lq1HG++qoLgmBl3rwxfPxxZyZN+oTZs8czf/4kZswYjrd3UcaM6UPPnnVo08afvn1r\nceHCYQoXrsB33/3FokVnGTBgKtu3L0cmU9G6dZesfsiwWi2cPXuY9u0/QKlUZolOZBARsQCQ8803\n7/Htt93x88vHvHn7qFv3DfLl83dwfspkMm7evILZbKJu3SYORXkBjhzZkWsdqTNnjlCyZGBWHS2t\nVGA4LS2N7dtX4+Xl57L4O8C1axeoWjXUoR82OqEHHTv2Rq12R61W0r17ODt3bhLvOuIj2L49gkKF\nijrN/WJNL61Wy+7dmylRoiwmk+16atduRHh4K8aPH4rBoAdsa9a4uBjefPN9h3ZsxoW5EQjpAAAg\nAElEQVSczz+fwo0bsezZs5OYmFMkJFxg8OCx0n5arTvt2vVi/PgJuIK9pLlarX6kpPnDJNOftK1H\nIachJDqqn3YOEnPJPD09MRqNDs5Cg8Eg/f1fwgtdefr6+nLkyBFSUlJ48OABBw4c4LXXbN7sgIAA\nUlNTKVasGACTJk3i9u3bpKWlcfnyZcaMGfNE4g0vI0JlTymzWCzIZDLJAPk3LUxECVjxhXZFjTt7\n9izFizsbVIcP70Sl0uLh4emy7StXYggMdFx458/vh79/SRYtskmor1y5GA8Pb0qUKOt0fJs2b6HX\np+Hr6018fHbNMm9vP+RyH9LS/kavTyUwsC7gA8j5+eefnyk/6mUYr6JH9lVDs2bNAB1gpWDBihQs\nWIxr12IoVqw8aWnpEk/7/v2/CQ1t5HDsoUPb8fLyc2rTarWSlpZMgwZNXZ4zJuY4FSrYqt337/8l\nFy+ecEgQtlgs3L59hVat3nF5fKtWXbh27azDM/vssw8AE7NnR1C7djhbt27HbDa/sHv+It4X+1w3\nhUKB1WolKSlJqlL/PJEXkcrDi4B9XZrcqH4iHVepVHL//n2uXbtKuXI29TbRUWk7zvaN/fnnAvLl\n88XXtzDvvfcpXbv+j5kzh7N69WKpTZEGOGPGFzRu3I7y5YOpW7cRPXp8zoIF49Hr79KtW1cWLvwW\ng8FCv35/AqlAJlCSJUuWMW7cOMCx6G/OxWxu9atMJhNJSUlMmjSF99//Rrpus9mMh4cX/fuPYOzY\n3wAZvXqNpnbtMOTydM6f38u+fcuJiPgJgyEDDw83ZLJ0QkLC+PzzXxgwYDJyuYrZs3dRpUo91Go1\nRqORv/6aTWhoe0lhVyaDXbtWIQgymjXrgEIhx2IxMWPG18ydOwaA0NBGrFp1nokTV1G8eFmOHt1B\ncLAjSwRg8+al+Pj44+XlnRXhMZOWlo7JZOTKlVhq1mzg8tnfvHmNmjWz27M3rE6dshV/txnLOYs2\nm0lJeUDTpq2d2pTJZJhMBozGNGbOXEeLFp34/vvBTJr0lcMYFh191CX13L4vV69G06hRS4xGYxbF\n2sTw4d+j0aj48kubQb1x42pUKhW1ajlfoyAIFCtWipo16/PLL2OZM2cSJUqUoWBBf4dratOmB9u2\nbePSpUu59udxJc0fpwbVs8qj54RSqUStVkvv2rOIaojteXl54e7uLhlWJpMJi8WCwWDAYDD8Zwyr\n/4wrX6fTPZGM9pMgp+S2VqtFo7Fxef8tixJ7eqJer5e4vbmpDp45E03Jks6UrVOnDuPjU9jlOWwL\nQBtPOufH1759T06d2ovVauXgwe25Ri88PDzx8SnCuXP7uXHjiuStFATw9S2GTOZGVNQKatduis0Q\nEJg379cnuxkvCWLNLlHp0T40/6qEu2NiYpHLbdSVgIAmhIc34saNK9SoEYZWq8FiMXPnzg0sFrMT\nzTMm5hjFijkbxSdP7kcuVzokQNvj9u2b1KtnEy0pXz6IYsVK8OOP30rbd+/eikKhcPBY2iMsrDmC\nYOXAgV0A7N27gwsXjjBt2go0Gndq1WpAdPRZMjIySEtLe6YE3ofhRX37OWuKidK0j5K+fxLkGVR5\neN6wp/qJVLmcEB15orG1f/9+KleugUqlRhBshomtFIccq9X2nh89uoOaNcOkbV27fkSfPp/y669j\nWLt2maQq9uefv2GxZDJ4cHZ0oGPHHoSEtGTMmF7Ur1+HxMSbTJv2IZGR22nSZBRwCw+PQkBRJk6c\nxOrVq6WcFPv+y2SyXOtXiVSmSZOmULduS8qUCZbuh9GYHc367rt+lC5dh3feGcTAgVOYNCmCefMO\ns3jxGdRqLY0a9WDu3ENMmhTBgAGTqV+/NcuXTyE0tCNqtZtkhCYkXODevdv06DGUzMxMaeG8evXP\nBAY2JC7uEp991pPOnSty+PBqQGDYsF/o128cCoUKQbBm5SrH0bLl207P6MSJfVSqZDNOsiM8GtLT\nU0lNfUB4eEunY5KT75OZmUFYmDP9W6FQkJAQR82aDaQ8c4vFjGiEHD68A4VCTfHiJV2+Vzt3bkKj\n0VGkSDEGDBjDiBHTiYz8k08+eQ+DIRNBsPL33/E0a9bR5fEA8fFxGAxptGz5jsQmMhgM6PV6vv76\nF06f3suuXVvZsmWNQ163PQTBilwuY/jwSTx4kMC5c4d4//3hmEwmyUADW2201q27M3Hi9y7bscej\nJM2fpKjv08qju4Ko6CwaQk8rqmEPe2GNzMxMqYyIaFj9FyJW/xmD6nlHqOyV4v4Jye3nFTWxz4+y\nVx18VH7RyZMnUSo1Tr9fvXqO4sWdF9EA586dBqBCBecBqUWLtxAEK9u2RXD79hWHuhc5UbVqPU6c\nOEChQkWy6AdmjEYjJUpUQibz5uzZjZQtWxVQAZ7cv59IUpLr2kT/BMR7Lk7A4j0X+dMinetZvD7P\nA4sWLcJGFUlDqczPhQunqVevLqmpD2jcuIWkrnf48Ha0Wm+MRqMkiwo2Wl+lStWc2j10KJJ8+Qq5\nPOedOwmSWqDt2mX07v0Jp0/vJSPDRtndsWM9xYs7q0uJkMvlFC9eik2bViIIAtOmfU6jRq2kYzQa\nHeXLB3H06FGJZ67X60lOTn4mCoM9XoYsO9gWIzqdjnz58mUphGVI8rT/FgMxD/8/INabehTVz34O\nPXjwoCR+YDIZJZlocf7LyMggMTGetm27S9sA2rd/l969P2bu3C+JiPgDhULOX3/9Qvv2vSRDyGoV\nMJtNfPzxOAoWLMmwYa1YsmQRYOX8+T3s2rUZb+8apKUdJTS0F+DLu+++R3R0tEv5dJEW74rqd+7c\nOVavXkP37l9I28RolkKh4PjxSOLizvP55zOd7sumTQtIS0th0KBvHX6PitrB/ft3GTjwG4ff5837\niuLFq1GsWAkUCkWWnPYDrlyJ4dq103z0UUOSkq7y5Ze/0r//OBQKNXXrhkvS7Onp6URGrkEuV1Kj\nRl1y4ubNazRq5Gg0KRRKjh2LRKXS4utbyElEJzJyLRqNJ56e3k7tZWZmkJGRStOmrXB3d0etVqPX\nZ2YZ32b27dtEwYIBTseJOHx4N8WKlQRsY3/Dhi2YM2cjiYnX6N69Kdu2bUAmk1G5srOIhoj163/H\nx6cAOp07omS72Jfixcvy2mttmTLlM65ePeNSLCQ7AiXD2zs//v5lARl16jRBp9NJBppoLLZt24t1\n69Zz7dq1XPtkj4dJmj/pevNJ5dFdwf68OUU1xAjT00q32wtr6PV66V36LxhW/xmDypVs+tPAPq/I\nZDLlKrn9T8uaPwqi18w+P+pxVQcTExNJT09n1Kh3mTTpS4eX+86dhFw9OAcOROLt7eNyAJDL5QQG\nVmfBgskoFIqHhufbtXuHu3cTKFOmJNeu2Wh/arWK6tXDsVrduHXL9puvb2EUCj9Azo8//vioW/LC\nkfPdEeVOxXsuUro0Gg1KpRKj0fhQ6ewXjcGDhwBegJWqVTvi4+PDzZsXsryF2QZNdPQRChcuhbu7\nOzIZWcUPM0hJue9EAwRbblVAgDNdFCAycj3u7vkcxE7q12+Gh4cnc+f+AMD58ycJCXFu1x5hYc2J\niTnCsmVzMRrT+fhjR29gcHColEcl0ujc3d0lao7oSX+VkXO80Wg0eHl5odPpHK7jad4dVwZhnkGV\nh6eFyWSSPM65lQhxFfk5ePAwFStWk6h+KpUo9GCj/G3evAaNRkuxYmXsttnQsWNvunUbwJw5o5g+\n/WvMZgPduw+VtpvNpiwlPjmTJy8jNTWNH38cwoQJ3+Hp6UVISFOSkwXAk0OHJtO79yLAm0aNwnMt\nwZIz6mY2mzGZTHTr1hMvL18pp8emHGiWxrnJkwdRs2Ybihd3Lnr7669jady4u0MuE8CcOSMJCmpi\np34IRmMmZ88eonv3YchkcOtWPFOmfErXrkGAQKVKVZg/fz9z5uyjbt0WbNiwgFKlqksGrkqlQqvV\nsmPHCvz9KzpJi1+6dBqz2eyyfuC+fZsoUqSs5FgWWTu2uluR+PuXczmG7N+/BZVKS8GCRRBl0j08\n3LMKDGcSE3NCooC7wqVLp53YCv7+JZg7dzOenlqmTv2Y/Pn9sFot5KQTioiK2kNQUE6DK7svAwd+\ng0IhQxAsUskXe1itgoNibWLiHcDKqlWLyWmg6fWZKJUqmjd/i8mTp+R6Xa5gL2kuvnNPuz54XHl0\nV8hZg8reENJoNKSnpz+TwmBOkQ6RTSLm3D1PNsbLxH/KoLIXpXhSg0ek9dnLnut0un9ccvtJXyh7\neqLVapU4zDmv42H3JzY2lsqVqzJ69M/s37+Wvn3bkZlpS9pMS0uhVi3XSj3nzp0kIMA1zQvgnXc+\nJCXlb0qWdL3YFsU+AgLKoFJpEYQH3LlzSep7iRKVAC0mk4Fbt85RqlQQbm42/vKcOfNctvkyIHop\nxclFfHdyU8mRyWy1LsSETVFi9FkX+U8SNTEajej1mchkNpqCSuVFgwZhHDiwBV9fR1GRuLiLlCsX\nnFUrRYOHhwc3blzFahUoWbK8lOQr4ubN6wQF5aw3YsPJkwezvHuOaNu2Ozt2rCQjI53U1MRc86dE\ntGvXnfT0B6xY8TMtWrzlpLhVpUod9uzZJ/1fpLh6eno61MsQF4FPin+qcLCr60hOTn7i68ij/OXh\neUGMJNnnRuWE6OCzj/wYDAZiYs5SrlwVic4nvpLi/HTgwDZKliznsC37vNChw3u0a9eDyMhlVKpU\nXTq3aKDZxItkeHh4MG7cQqKiIjl/fh8dOrQjIeECH374LVptYcDAr7+2o1y5xoCaokWLSkaVmHOc\nczwXc6rnz7fVeEpLM9GlSxCffNKG6OijEk1v9eqfSUlJ4rPPfnC6L6tWzUCv1zNggGMU6tKlU8TH\nX2LgQEdxgyVLJqJSuXP2bBRdu9agX79QLl8+hFqtIizsbUaO/JV8+QpnsR+sXLhwitdeexOFQpz/\nbf0/f/4koaHNc6jxCWzatIwCBYq5FI+4cOE0wcE22reoUGozivRcuhRNUJBrGv/Bg9ucisTbGzOJ\nibepWTPMpeFgmxvv0rRpB4ffBQHUai3z5m1FoVBx797fnDt3xolOaNvXyq1bV2nevJPL/oHNWeXv\nXxZBsHLw4B6nvtiPl4cO7SEzM5UWLd5i8eIf7GpZORqLzZu/w4oVKyThtSeBXC6XBLZySpo/TVu5\nyaO7gqjA97CalvYKg88ihJFTWMNWP8wopaiI+Zj/FsPqP2VQPWmEyj6vSKT12cueP24bLwJPsthx\ndR3PongXGxtL8eJlqV27EQsW7CQ9PZEPPmhNbOwpBAHKlnUth52QcMXOC+R8X6pVCwXk5M/vuGAX\n+2+jjJhRKhWUKRNMfHw016/blP5u3DjHjBldgIuAlZ9/fhudTkFGRgqgIzXVtqh8mRBVcNLT053k\n2h8X4sT0PBb5T4LRo0cDIAhpqFTenD9/jEaNGhAbezyLTpmNBw8SqV3bPklXRlRUJO7uPmi1mizv\ntK2QotVqIS0tmXr1GuMK165dIDi4Vta5kRZJ77zTH5Mpk6lTx+DmpqVQIf+H9t/bOz86nScGQzp9\n+37htL1s2SDi4uK4d++e0zaxXoaYxPsi86xeJMTr8Pb2lq7jcROI8wyqPDwviFQ/wKU4UE5VPxEH\nDx5Er8/k++9HSIV1RcjlMqxWgatXzxAa2tShgK8Ik8lGqWvduicA0dEnuHEjziEXSybLNs4qVQqm\na9dPWLhwArVrB6HXX+KXX1qjVqeQL18ZwMDFi+sAWxH6woULk5qaSmZmpkuKvNFo5MKFC0yb9iNf\nfDGfJUuOMmbMKlJTTXz2WXu6dQtmypQB/PrrODp0GIqHh6PUuNVqZcmSSbRo8QEajWN9v59+Gkap\nUrUpXrwUVquVw4d3MXbsQP78cwYGQzJ79iylTp1wFi06yZQpG8jMzKBnz6ESEwVsokFms5mWLd+y\nM1ThwYO/SUtLok2bd1Cr3dBotFm1AdM5cWIvlSo5l0SxWq3cu3eHxo1bOfyuUqnQ6XQkJ9+jTp1w\nKW/YHhcunKFSJdcOtoSEa5jNJsLDm6FQyMnISHegMx85sheFQkHp0o7KguL4JZOB1WqhVKmyfPZZ\nT65cuehAJwSbpDoIuYppiIiPv0iRIiX44YeRWU4CsS9WBMEq3cMlS36mQoVgPvpoNGaznsWLf8nR\nks2wKlYsgPDwtkyaNPmpRCKsVqtLSfOnpXs/blvieR82P9gbQiqVSlIYfFqHsD0DQ6z/JgYFxCjw\nvwH/GYPqSXKo7KlZ9nlFuVEVXOFVWIzY53nlvI5n6V9MzDn8/W2Ur3z5CjB//las1kxGjnwfd/d8\nLu+RTdntPvXrv47oBcuJO3duAVbi4i7Y9d9mSIlJkG5uapRKJQ0btiAh4Srp6alERUUwa9abyGQm\n/P3DUakCsFgM7NkzGUjEzy8IkDF9+vSnvuYngcVikWqPiUqPzyrXbr84VigU0gD1orwz06b9CNgm\nPj+/imi1GgICArhzJ8EhAnnv3h3MZiMhIY5qUGfOHKFIkZIolSp0OvcsiVwrJ04cBGSUKuUchbSJ\nltxzmbisVqupVi2UffvW5RrBdG5Phlbr4VDsUYRSqaRy5ers3bs31+PFQdzb2xuNRkNmZqbkvXsU\nLeKfilC5gujN9Pb2RqvVYjAYHkkldfVOvQpjWh7+XRDHQnEh5eodEkV4VCrHQrznz58nKKgW588f\nomfPBkRErLTbKuPu3dtkZqbSvHm2QWB/XjECtWTJzxQoUJgKFQIZMuRNHjy455BvJZPZnDdWq0CH\nDt2pWDGUQYNakJQUQ5EioVSp0oehQzdTqlRrbI7AcsjlNqPE39+flJQUlEqlwzdjNptJTU2lb9/+\n9Or1Ff7+NmZGrVphTJu2luXLz9OwYXciI9dgsRhYt+5H+vcPY+rUj4iImM/588eYO3ckVquM/v2/\nBCAzU8+VK+dZtWo+Fy6cxGIx06VLNVq3Lsw333TmzJnNAMyZc4Tff49l8OBp+Pn5s3jxBHx8ikl0\nQplMjlqtJiJiPv7+lTGbxRIMtr6vX/8bHh5++PoWku6PSEW/fTueevWaOqnxnTy5H5lMTlBQdafn\ne/LkAWQyBdWq1UImk0l55+L9shX0dR7zAXbs+AsPjwJZqnI2mXSZTEZ6ehoGg4E9e7ZKNZ4cYZNM\nP3XqGIIgMHPmWkJCGvDZZz1ISLgu0Qn1+gw2bVpDkSLFHzo/x8aewWjUM3PmKszmTGbN+k6iuKen\np0vRV6PRwKVLJ+ne/SPUajXt2nVn5crZdlEqe8ho3bob8+bN48GDB5JIxOMaHfZ5TPaS5iaT6ZmU\n9x7VVk6638OQU2FQdAg/rWElznuisEZqauoLE5t7EfjPGlSuIIbo7Wl9j5tX9E8gN6PQXr5dVB16\nntcRE3POQdJcp/Ng5sy1GI16rFbXH9rp08eRy+UulQFFiHz4O3eucf/+Pcn7o1a74ebm5uAVad68\nLQaDngIFNKxaNZzQ0M4MGLCKGjVaYbHoEAQrvXrNBW6i16cCMHny5Ge+9twgRtHEyUI0gJ63SIl9\nTSIxBJ6SkvJcBSwyMzMRjSmFwg2ttiANGoSRnp6KwZBBWFi23PnBg1txc/NwKvAcH39Zkjq2tWOT\nyD1xYh9eXr5ZeVZ6h4E1NvYUIKNSpWBcoW/fzxEEK9WqOSdK50R8/FUyM1PIyEjLZTKDypVD2Lkz\n8pFt2fO5PTw8JArmi5Arf1w8jcFmfx32VNKcCeT2+7v6Ow95eBzYq/qB6/lKnKtcSagfO3ac+vVb\nsHjxXtq27covv4xiwIC3SUuzjee7d2/G3d0TLy9HoYOcEagjR7bTpElbJk5cjLu7hmHDujhQ1mz9\nsikBKpVKtFoPBMFKhQrVmDJlNnv3rmX06P9j77zjo6jeLv7dkt3NbnoBQgsECL0KkS5NelN6EQVU\nBLHgTwELvYkgoKBIFQyIqDTp0qUGAoSWEBJKICQkhCSkb3//mMxkN7uhg/J+OP8oOzN378xO7r3P\nfc5zzgBeeqkfanVJIA6LpSogLOSDg4Ml03jxvnNzc/noo1EEBtaiXbs3pM/1ej0uLi54efnQvHkb\nLBYzkyZt4t1351KiRC3Onj3DsmUz+Pjj9mzcuASDIYPOnYvToYMvr71WipEjm7J06WjkchVubkpa\ntuzCt99uZevWZHx8ilO9ekvKlLGn1R8+vI1WrfrYfWY2m4iMPEHr1j3RaDT5ga+wXjh6dAdVqzaU\nno1Yr3bx4kksFgvNmr1aSI0P9u/fiJ9fWafjxMGDW/D1LSUdEwIRGdnZ2cTEnL+noW9ExBECAwt8\nDG39p6xWKxcuhFO5ck0KM17E8XHPnq34+5dALpczceJCXnqpEZ980oeEhBu4uelQKJScP3+c2rVf\nzq+xco7161dRvHgpdDp3Ro2awu7dfxAffwO1WoNOp8sXODGxevVSNBoNDRoINb5Dh34GmFm+3Plm\n7qJF32I2W1ixYqUkEvGg6nvOBClEbyedTpcvRnL3kZkVztrS6/WYTKZHFsJ4XIVBs9kslXiIwhoK\nheK58RZ9Pnr5ABBVVkSIg7stHU4MuGxpfY+zkHjWwhS29VG2FLNHqfO6V98vXYqmbFn7OhcvL198\nfYuRm5vC+vW/OlwTFnYAT0+fIr/ParVy/Pg/VKlSB53OnfXrV6NWa/Kzgo5912hc8fYuSXz8MXx8\nytG16zhkMqhWrXG+T4kSgyGHChU6k5V1EbBKZnRPEoVVEkWKw+NmAe8H25S6mHV4Uip1EydOBMDD\nIwCz2cCNG/E0bdqEQ4e2oVLp8PDwks6NiDiCn18Zhx3i1NQU6tVzlDWPijpN6dIVJbNd4e9OkJQ9\neHAbXl7FbYp77YMGcScyMTH5vvewePFcAgLKoFDIJfn0wqhV6+UHCqhsYUvBLEquXPzv0/r9n8SY\nIt6Hp6cncrmczMxMO1pj4YDteaI6vsB/AwaDQVIsFefTwnUnYoDhbMf71KlTVKxYHYVCwdCho1my\nZCeZmbcYOLApR48eICLiiMM8BPZqgHFxV8nJSadnz6EoFApmz/6VjIxbjB8/wuYKgT5otVrYvXsL\np0/v5qOPviYyMpwjR7ayYMH3QC5//vkNKlU1ABSKRLTaKkAJQE6ZMmWkGm29Xs/AgW9w5EgYw4fP\nlv6OxE0LpVKJyWRi4sQB1K//GiEhr9CpUx8mTPiJFSuOsGHDFRo1ao+7e0n++OMav/xyjrVrL7N5\ncwrLlp1CJpMzffpffPvtDt59dypVq4aQlHSda9cuMmzYeLtnceFCGFlZGfTvP9zmuVuIjDxBXl4u\n3bsPlDLY4hrpxo3LtG7d3W4ck8nk/P33Wnx9y6JQKNBoXG3U+LI5f/44Vao4p+2dPx9OpUp17NoT\ngiId+/dvwd3dNz/odhxj4uJiqVu3scPnYuYjJSWehg3bOBgMC18l49y5MKpVKxC0mDJlCVWr1mTk\nyB4kJd0CrKSn36JDh175m6G5TjfgIiKO0LixkEVr2bIz5csHM2HCyPy+yFEqFbi4qNi9ewP16jWV\nxDzkcjk9egxhw4ZlUvBZcG+XOXlyD6NGTWPhwoVkZ2c/lEjEvRT+bCXIReW9Rw2sxLZEeXTbOeJh\n4Uxh8GGEkwpnx+Ry+TNT1n4SeD56+QCQy+V2L4CtB5BIh3uWsudPCk+6Pup+uHNHyBz5+jrKXmdk\npFOvXjOWL59BQoJ9oeXFi2coW9ZR6tq2Pio+/hLNm3cgJKQ5Bw9ucxpI2UKlEiROs7LcuXDhFCA4\nkbu4uKLVluTUqfW0bDkYKAgAJk+e7Lyxh4QtLfRhVRKfJGyzDoVV6h41eJw3T1BEFIqxVSiVLlSq\nVInw8P0UKxZod+7VqxcpV86ev56RkY7JpHe66xgff42qVevk007U+QW6KvR6A2fPnsg3i3Y+UO/e\nvRWQc+LEnnv232q1cOrUfnr2HEKpUoH8/fdGJ+dYKV++CsnJSSQlJd2zPWcoLFf+NDKF98OTeM9s\nM5628vHPCyf9Bf6bMJvNdkq4omBDYVqc1Wp1EIwBgUYVF3eNChWqSu95QEAZfv55L82bt2PGjGHE\nxJykXj37McZisdipAa5b9wt+fiVwc/PAZDLh6enD7NmrOHt2PytX/mhznWBhsWjRBLp2fYO2bV+n\nZ8+R/PjjV6hUMlatWk2pUqXIzEwEAjGbb6FSGQgMbAMI81CFChVITU3lvfdGEBMTT1ZWLv36VWXp\n0nFSHZmYiZswoQ+gYty4hQ73fuXKeY4d28GoUfNxc/PC378UHh4+KJVKZs8eRsmSNRx8Gn/8cQzF\niwdTqVJ1u89/+WU6gYF17BQCDQYDmzYtJiAgWPLLBGFMi4oKAwRqYm5urp0n4tmzRylTpjKHDu1h\n06bVhIYuZOXK7/npp5kkJMSRmprM/PnT+Pnn+WzcuIZjxw6QlJTArVs3aNhQqJktnPW+cOE45cpV\nxWy2OARFBoOBrKy7tGjR3uEZAVy9GovZbKB58w52BsPCgl8wf05OjuOVV+wNgb/5ZhWlS5dl+PBu\nbNu2ARcXNcHBNe0yZ6J/FUB6+h3u3k3mtdfektqYPPknEhJi2bp1HSAEcKmpt0lJucFbb31sJ+bx\nxhsjUShkLF1qLzoyc+YYypcPpn373tSu3ZClSwXhrAcVibifZLozCfJHVd4TxY7EjUSj0SjJoz8K\nCqsVPmhgZTKZ7AKqp715+aTx/EQWD4j4+HguX76M0WjEYrE81YXw08xQie2KOwZPqj7qfoiOjiYw\nsILDdwhBUS4jR06kXLmKjBv3nt3xxMRrVK8u7GDJZMKOoOC1lIfJZCI+/homk56WLbvQp88wUlJu\ncPdu0d5RiYk3SU6OBawYDJmsWjWJRYsmYzIZ8fMrgYuLH9evRxAUVBMoKWU95s17vDqqomih/7ba\nIxTsJNmquz0sLU0Y0KyAnKSkGFxcfGnb9lVkMjkxMecIDrYXpLh9O9FB4v7YsVOeINcAACAASURB\nVN2oVDpcXXUO7WdkpBESYi9g4eLigk6n5datG1Sv/lL+ROQYmBw9uo8KFSqTl5fF8eOHi7yHfft2\nYrWa6dixL40ateLCheNOzxPl+e9VR3U/2NZZ2WYKgSeeDRXxNOqzCsvHi54ftu/Pv/1+v8DzAZHy\nJr43Ym2UqEgmnmNr4Fv4+jNnzlC6dHnUavv6R5lMxogRE/nggymYzQbCwo5gMpnzr0NiCYhNnjp1\ngJCQVyQlPqVSSVBQVUaOnMAff3zHiROHMZvNyGQyfvhhGhqNmrffFkRsBg0aQUBAMOPHv4G3txcL\nFnxPp05dAA1QgvT0YyQlxVOt2gBAoBCWK1eOpCQ9c+bsZv36a3Tt+jFbt66hR49AZsx4i/j4WP74\nYz6nTx9k2rR1DnVjAJMnDyA4uBmNGtkL98TFXSQy8gSffDLX7vO8vBzCw/cwYMBndp+bTCYuXAij\nV68Rdp+ZzRYiIg7TooWjqt3Gjctwc/Nj8eKZfPXVUAYPbsXrr9egY8dAEhPjOH36b2bNGkFo6Ax2\n7FjOkSMbOH58M1armdu3L3Ps2Ga2b/+ZlSunMWXK2wwa1BCDIZcFC75g8OC2TJ36P9atCyU1NQWA\nGzdEk3hXu6DIaDQQFrb7noa++/Ztw9PTJ1/6XjQYdsVkMmIwGLh48QIWi4mGDe1lzuVyOfPnr0er\n1bBo0SRpo1dUqdXpdFitVimw2rDhN9zcPPJl3QX4+5egc+c+/PTT1Hx2goU1a5bj7e1L2bIV8vui\nxWQykpOTS48eg9m8eYWUpYqNjeLy5TOMGTMHgF693mPevO/tWFT3E4l4UA+qwhLk4ubfowpbWSwW\n3N3dJXn0x2nrYRUGndVvFaWW/F/E/5uAKiwsjIyMDBo3bkxYWJhEM/gvLIQfBrYLerGQ92kEhEUF\ng9HR0ZQu7Sh9Hh0dgVyuoHjxAKZOXcrt29dZvXqp1OesrDu8/HJLaWITpTdVKhUajYb9+3fi6emT\nb6RXHjc3T9atW1Vk/7755gtKlgxEqVTj5qagX7/RJCVFM3v2CIoVC0SvV5CTk4Zen4WHhx9BQT3y\n+2J65D9+kU4JPLTa47OErYCFLS3tQYL7gjozP1xcQK32oWlTQXAiJeWWnZpfXl4Oen0uDRrYC1Kc\nOXMEX9+SDm3Hx1/BYjFTo4ajp4jJZCYrK4PWrdvnT6yCjLJA0xQWTFeunKd+/eZUqlSN1asLKycV\nYOPGVVSpUhO5XE6XLgPJzEwhM/Ou3TnCs5BRvXoI+/cfuO9zuR8KZwqBf73O6lEg7kSqVCppsZuR\nkUFubu6/3bUXeE5gMBgkup9twCRspAkBlV6vlxbChWE0GomMjKR8+SoOx8S/JVdXT+RyBTdvXmTo\n0I5kZWViMhntxCZycnJJS0uka9c3pE1HcQHarl1PWrXqwtSp75GaepvMzLscPLiBd9/9UmKzGAwG\nZsxYxu3bSSxePBGVSsWIEe8xZcoUwA9Qk5cXTmTkOaAe4nLp8OHNuLl5oFAoGDLkM9aujWbYsO+J\nj7/FsGGNWL58EpUqvYS/v7/D/a1cOZWUlGQmTlzmcOzrr4cQFBRCtWr2wg9Ll47D1dWbV1/tbvf5\nhg0LUSg0kvKecE96bt6MIScnA51Ox8yZoxk+vDM9e9aiY8cynDy5j+zsVM6c2Y2Li4mQkEa89dYn\nvPnmaEDO5s0x/PVXNOvWneO3304SGnqUli274elZgp9/3s8vvxwiNPQIoaFHWLfuLEOGjEWt9mDk\nyAnUrl2PtLRrhIZ+Q79+DejatRZZWekoFArMZpNNUCQowx44sA1//7IUxVg4ffoo5ctXtvtMZA4o\nFEr27duGl5evU/8ppVLJTz9tyV/E26v/ymRyNBpXtFotFouVgwe3OzWoHzFiHC4uCmbOFFT/jh3b\nRfPmHQr1RYerq4bXXhuMQiHnp59mA1bmzp1AhQpVpP5XqFCNcuWCWbXKcc3jTCQiLy/voU19C0uQ\ni8JWj2KnoVAo7NoSvaEedW31IAqDIquscIbqeWKUPT89LQJr166lYcOG9OvXD7PZzJkzZ+jfvz8K\nheKZUHOe1HfY1kcBko/R49Z5PSwuXrwoKfzZ4vTpI+h03oBQT9W//wjWrl1AVlYmsbGCal/p0kHS\nDoxcLs+nggh/HBERx6hYsarUXr16jTh4cLvTPiQlJXLp0kk+/fRrypQJRqnMxmjM44svVuDp6cGZ\nMwfJybmLi4s74eF/ULZsJe7eNQCCMtO0adMe6F5F3ytBpKFgN+V5oYWKaXWRlma1WiUaQlHv5aRJ\nkwAoXbopRmM2Vqsr1atXIz09BaNRb7drGh5+AKVSLQVuImJjIx1ogABHj+5Gq/Vy6mFy9uwx5HIl\nZcqUlwQsxE2CnJwc7t5NIyMjhXbtXqdXr7e5dOmU00DFbDYTExNBjx5DAGEn0dVVx/bt653eb61a\nIfzzz6NnqJxBLJItHNA+KUXGZyFpbrVa7WiNovHnC7zAvWCxWCQadOHaKDFQEbIkZqdUP9GP6uLF\ni5QtG+xwTKQQnjhxCH//AJYs2QnoGTKkPbduJeb7SgnYtWsTarUrJUqUkRaBthg1ajrFihXn888H\ns3TpXDw9vWnVqhsgZHJkMhm+vn58+OEM/vprBbGx5zCbzVSrVo3NmzfTtu07QA5wAzADZRCWTHK6\ndROyGeL9duzYm379hiOTKQgMbMStWwkMHFid3r0r8OWXPdi6dTnnzx9h7dp5vP32TDuzXoDjx/8m\nLi6asWN/sPvcZDKxa9caund/3+FZ/vXXUqpWbcKWLb8xa9YYRo7sxltvNebDD9sCsGrVNGJjjxAQ\n4E/v3u8wefIvgJWVK4+yYsVhZs78nQ8++Jpu3YYQFxdF8eJBGAwG9Hq9XfY9IuJwvpWGIF6hVCok\nafbjx/cRGFiVtm178vHHM5gzZx0bN55j3bqI/LlExi+/zKRz52p88EEfDh3ag0IhsG0uXz5PpUo1\nyc7OyV+o24+dN25cKsLgXYZcLuPChRNUrlwTvd5gJ5MuQhiLLaSlJTJr1jiHVuRyBRqNmsTEK3To\n0NuGkigel/O//03n0KG/CA8/SkbGbfr3H+HQjkKhxN3djV69hrJt2youXowkNvY0H3883e68Xr3e\n45tvZhcZlBQWiQAeaU4prLyXmZn5wMp7zgx9RYaGKI/+OCp+RQWP4lrM2Xr3eViLiXgmPW3RogWu\nrq6SkWnVqlWLPHfu3LkEBATg6enJ0KFD7V5wZzh//jxjx44lNjYWb29vqeDvWeBxFz2FleMKL+if\ntegFwMWLlyhd2tHN/dKlcxQrVuAf1bfve3h6ejJ16mccPboPnc4jv5jVudjHzZuxdqn5Xr3eJjk5\nTlJ0ssXChd9QvHgAwcE1efnlluTkpBEffwml0oXhw7/Nn4jNeHqW4/z5HVSv3pjU1HiCgwXJ9jlz\n5jq0aYvCdWniAPJfVXu8H8RBD5DqZIqq9xEGQhWNGzdHJlPRtOkryOUKDh3ahlrtjqurVjo3PHw/\n3t4BhIX9w6xZXzF69BA++2wwN25cwcfHcff1/PkTFC9e1mkfjx3bi7e3fV2eTCaTxBOOHfsHpVKF\nl5c/jRu3QaGQs3nzHw7t7NixEYVCTpMmbaXPKlasyqFDu+zOEz2ugoKqcetW4iPVUd0PhQPaJ1Vn\n9awCKtvveJ4mrRf4d2Cr6uesNkqcr4pS9bP1ozp37oJd9kEU/xGzTJcunSUoqDI6nTuLF+/A19eb\nDz98nYSEG9I1//yzk/Llg6XgzhlN/euvV5KRkcihQ+vo0WMoUGDUK9Lx2rTpTPXqTRk3bpAkoiGX\ny/noo//RrdtIZLIEwAD4A56AAqNRT6dO3hw7th29Po8pUwYyb95H9Okzjp9+2sHatZGsWhVL+/Yj\nSU/PY9GiCXz2WWesVli/fjb/+18Hvv12OKtWfc2OHb/w9ddvU6VKM/T6DGJjz3D+/FHCwnYwZcob\nGI0mUlNvM378O4wc2YWBAxvQtWtZUlLiOXPmb1asGEdU1AG8vFzp0mUAKpUrffqMZcOGGJYsOcT4\n8T/Tu/cHnD9/FDe3Yvj6FnP4bQUlPIGaJ5PJyMvLk8axmzev0bBhK0m8QrRFcXFx4fr1WGrWDMk3\nZC1Y/Lu5eQJWSpYMZuvWi3z11fcoFCamTRtGt251mD9/GsnJiTRr9ipqtTp/MzlXCoqysjLJzb1L\ny5Zdi3gX4datqzRr1h6dTouLi0qSSRcX+zt3/oWrqxuTJv3Inj1/sHHjbw7tHD68H5lMRqNGrfLp\nhCaysrKk2qEmTV6lXLlgZs78BH//Eg6BcAFk9O8/AqVSzrhxQylRojSlSwfZBR41ajTAw8OX9eud\nb/6JEIWv5HL5YwlOPIrynmhg7awtMUizbetRAyvb4NFgMEiBVVHf/bzgmcyiAn/5BykFGRUV5fS8\nnTt3MnPmTPbu3UtcXBxXrlyRDEiLwpQpU+jevTsKhQKVSiUFYP9GMPKgKOyD9ayU4x4Ely5FO8iy\ngiA2IE6AYkDyySdfc+7cQcLD/6FkyTJFBiS3bydhMOTQokWBKWBQUBW0Wh2bNq21O9dg0HPy5F4G\nDvwAgE6demIw5BIXd046Z9iwGcjlSlJTs0hMvEiNGo2xWAyEhPTM75+FlJQUh34U9u1SqVTSc///\nAFtamlardfAjEul+9eu/Q3T0XhQKD5o1E4q+T58+RPHiBYIUubk5/PPPTm7fvsq3347i/PmDGI13\nMZkyMJsNbNu2ki5davL991OlSfDatRgqVqzu2DEgMvKUnTwu2GZ3ZRw79g8BAaVRq9UYDAaqV6/H\n5s1rKLxruX37n1SpYl/n1bx5B65du+D0exUKBTVqvMThw0XXZD0sCgcjzuqs7ucD9W/DWdD2b489\nL/DfhqjoJ1p1FPX+iFT7wrD1o7p4MYrAwAK/OTFIE69LTr5OvXpN8ik/CubM+Z2goIqMHNmda9cu\nA3Dt2gVCQlraUf1EiEGTj48/bdr0Bqx4epaQ5t7C10yatIC8PD0//DDWbof+3Xc/xc8vkMBAI97e\nnkAgQkChw2KByZP70b9/BcLCtjF58l+8+eYn0rW+vv4MGfIp8+dvo1ixADw8SvHppyuoX/81FApv\nIiMvsHnzKr7/fhS5uVlERx/hww9f5cMPX2XMmNeYPHkIx4/vxMVFxcmTf5GWdgVfXw+aN29P8eIl\nKVasKtu3J7Fu3RUWLNjPpEm/EhLSFoNBT+/eQx2e/5Ej26lRw1FIyGQykZKSSLt2r0lziJiBunkz\nDr0+lxYtCqhuYmBlMpnIyEilTZsuaDQarFaLlIEEK9HRZ6hSRaAvNmnSjnnz/mTTpnO8/vob7N37\nByaTgV27NpGRcTdfvKjAO2rfvh2o1a5ON+6Efl3HaMzLp+AJNGZRJj03N4fc3FwOHdpF+fLBNGjw\nCm+++RE//TSJyMizdu1s376OsmWDJDaQVivUaRkMBsluYvz4+ZhMeVSoUMNpX0TI5XJ69RpCRsZt\nhgz5H0qlS35fcqQ6vp49hzFz5qz7rk1FBoEoOJGTk/NYghMPqrxXmHJ3v7YeVR5dhCiEIQpumUwm\nB5XB52leembbkg8S3KxcuZK3336bqlWr4uXlxfjx41mxYsUDf4ebm5skbfos8LBBm219lNls/ld9\nsJz1PScnh5SU2xQvXsrh/PT0FKpWrZUvNCEY8daqFUKFClW4ciWC4OACb6HCbe/Zsw2dzs1OiQig\nZs36/PPPNrvP1qz5GbVaRatWws6Uj48vWq0nSUnnMRr1yGRC++XLV8dikWMw5JCVlYxW6058fAIg\nBEe2gXhhxb7/ktDE04CtYo+tH9FXX30FqOndeyxxcaewWl2pU0fgjl++fIGKFYXfcNOmNfToUYfs\n7DRCQtry22/HWblyP3Pn/snQoWOQyZRs23aRvn3fYc+etfToEUJ4+GHu3Emmbt2XnfYpIeG6g3JV\nfm8BiIk5Q40aL0lGwW+8MZL4+Ghu374t7ZRarRauXDlPp0597Vpo2/Z19Ppsbty45vS7q1Wr/0Rp\nf0X9zd/LB+phdvKeRYaqMP4//h28wJODqJgrZpGcLbpEKpOzY+JCW61Wc+fOHUwmMz4+QqZE3KAT\nNxSFDa8sGjV6Nf+YEbVaw6xZq6lcuToff9yTCxfOkJeXScuWXRyCN9ugSSaTcfLkYby8/PjuuzEk\nJ99ySg9UqdR8/PFMDhz4i8jIE/l9trJ8+TyystKIi4siLW0PcBZhkycToc5KhkrlikrlycSJr/Hl\nl92JjY2Q2jUY8hg+vCF37tzhhx/20bp1dz78cBrffPM7y5YdYdo0IWvy6acr2bo1hW3b7rBt2x22\nbr3N66+/i0rlwfr111m58gzz5+9j0qQ1vPXWBBISrjFo0KeAKCMvQ6FQ8uuvsylVqiparb1gkCAM\ndZUuXfo7/DZHjmxHLldRrVrBRpVYj3Pw4Ga0Wm/kcrlDliQ8fB8KhUoSsRKDVJPJSFZWNrdvJ9Ko\nkb1ghEql4c03P6FHjyG4uGi5evUM/fs3YtKkTzAaDVJQdOTIHgICShe5UN+zZyvu7l6FTN2F8dfN\nzQ2FQs7VqxcICWmBxWKhX7/hhIQ0Z+zYt+zqbaOiwmnatK1d27Yek3q9nowMoQbrzJkTTiXXbZGW\nJqw/IyOjbPqikIK8Bg2ao9cb2blz5z3bEeunxDnF09NTEpx41FqmB1Hee1BTX9u24P4S8PeDmBXW\naDRSVk4MHp+nuemZBVSff/45/v7+NG3alAMHnBeJR0ZGUrt2wR91rVq1SEpKIi0t7YG+Q6vVSgHV\nfylD5aw+ytXV9b71Uc/6HmJiYihdupxDDYzBYESvz6VGjXoS1UM04h0z5lsAfHwcRQpEnDp1xGnW\nq3v3Qdy8GWO367J793oH1Z6KFWujUOSRkHBF+iw4uC5KpRugJjT0c0qUCCQm5ixlywqKdKGhoQ6K\nfaJv17OuS/s3IVLqhEFShkIRkK9Ud4vg4DqS/HBKyi1eeqkJo0cPZuHCL+jVawgymYw33xxlt5Mb\nHn4Ad3df5HI5AwZ8wLp1p6hfvxFffjkIozGPl19u7tAHk8lEdnYmTZq0LrKfd+4k0Lx5R+nfNWo0\nwNVVy44dG/MVmbI4dGgfVquZV17paHetRqPFy8uXLVtsKYIFQUmNGiEcPHjoEZ5e0bjf+2PrA/Ww\ndVb/BuXvBV6gKIiqfqLPn7OMvkjnc0bZEY+JgVhUVBTly1eS3j+j0Whn3hkefgSlUoWnp09+1soF\nuVyGXC5n5sxfqFSpGmPHDkCj0eLnV9wp1U8Mmm7fTiIp6QoTJy6iRImSjB37lsMGphiANWnSijp1\nWjF58tskJsbzxhtN+OuvH2ndugudOw9DoXBh1qwNdOkyKP/KZMAVgyEXpdLKhx8uIjk5jQ8+aEGf\nPkGMH9+Tfv0qkpaWyaJFx/DzK2HXT4PBwOefd6FmzXa0bt3N7lheXg4bN/5E375jUCjsn2lo6HRU\nKjdat+6KxWKxyRhCRMQhOnQY4PAb7N+/HoVCRb16jqbpe/euo1SpYIfPAU6c2Ef58tXRaFyxWi3k\n5uZIY9jBg9soViwwX3FRlm8Iq0Ct1nDnTgImk5Fateo7rY86ffowlSrVZfXqQ3zxxXdERh6hZ8/6\nLFnyHS4uSq5di6JGjQbk5GTn19jYL9QjIo4SFORYxytARlZWBnl5mbRp85rUxoQJP+Lh4cFHHw3A\narWQnJxIdnY6XbsOdNqKaLWzYcMqfHyKYTLlsmTJd0V8p4A9e9YRFFSVrVt/yWduyPLtQ9wkX8Zu\n3YYwY8bMe7ZTmHpnKzgh1jJlZmY+EuXuXsp7RVH+HqQtMUi7l4pfURAFKUQlWo1GY2em/bzgmQRU\nM2fO5OrVqyQkJPDuu+/SpUsXrly54nBeVlaWXQ2Uh4cHAJmZjnU2zqDT6aSg5VngXgHP/eqj/ou4\ndOkSpUoV1E+JAcnZs2HI5UpKliwteY6IEKWzd+1y9AIScf16NHXrOprA1qoVgouLC3//vRmAhIR4\nUlNv8uabH9ud17x5O8zmXOLjY6TPatdujsmUQ7Fi1UhICMfbO4Dbt69Su3ZHxNf63DmBJigq9v1X\nn/uzQKNGwkQ6YMAUUlKuYLWaadu2C2aziYyMOxiNeaxY8S3R0cf48cfNNGnSHpARFCTScoQFSFTU\naQICykntKpVKvvpqAR079gEcvTjAVpAi0OEYwMWL57BazdSpY/+O1KvXiL17N6HRaNDp3Ni69U9K\nly5HXl4uJpMR20m6SpVanD7tPGiqWLE6V69eIT29aJn+h8HDBCNPq87qcfEioHqBB4XISiis6mcL\ng8EgUf0K71KLqq9iIBYVFSUpyYrHbLNMp08fxcfHX1osFt4x//rrlahUruj1BtLT7TdbxQBDDJp+\n/30Fnp4+lCkTxNSpy0hNjWfhwm/srrENwMaNm4teb+Sdd5rh4aHl558P8/bb4xgx4gv8/YP44YfP\nGTZsMn/8EYNC4Q3kARZycjKZO/ctLJa71KjRiIyMVE6c2EVOTgYKhZFff53GjRuX7Pr58cevIJNp\nmTo11OF5zpr1DlqtP/36DXc4tm3bCtq1G4zVilTzJZPJCAv7G6PRSNeujgHVzp1rKF++tsPnwu9x\nmgYNWjo9FhcXQ0hIy3yDVQ0ajStms5nc3BwuXoygSpV6gPg7WlGpXAAr+/dvxs3NVxJYyM62F40Q\nDH2FOal58w6sXRvG4MGj2LRpMb16NSEtLYHWrbvne0fh4B0VHx9Dw4YtnPZZeEYbcHPzwN+/ODqd\nwIzJzc1h9uzVJCfHMXv2BDZt+h0PD287I3tnOHnyAE2atGXgwPfZuHEZKSm3nQYy//yzC70+i3nz\nfkMuh2XLbC1chMBKp9PRtGk7bty4yZ49ex7a1Lew4ERGRsYji0TYKu+ZTCbS09MfWlnQti0xsCpK\nxe9eEJ+DmJVTq9W4u7s/d+UYz2SFGRISgk4ncGQHDRpEkyZN2LZtm8N5bm5uZGRkSP8W/V7c3d0f\n6HtsA6p/K0NVuD7Ktk7nYRcwT/MenLUdHR1NyZJB+Rk1PQaDAblcQXT0aXQ6b4c/NJPJxIEDW1Eq\nNdy6dYWICEc/IJPJRGbmHYesgojg4Ors2rUBgNDQhfj5lcDfP8DunNatO2CxmIiNPSZ95unpl083\naIBMZuLs2SMYDJkEB7+CuNAePnz4fzqAfVawWCxcvnwZUFCjRgsiIjYAGho1akhubh67dwvP32DI\nIDT0MEFB1Th+fC9ubj4Ozy4+/podvdP2O9zcvNm5cxULFsywOxYWth8vL8dCaFE4Yt++nXh5+Tp8\nV9++75GQcJnc3BxkMhkXL4bTqlVnySg4OzsnP7tppWXLzty8GWvTdkHA4OKiolq1Ok+0juph8TB1\nVv9GhupFcPUCziBS/UTDTWe1UWaz2a6uqrAUsl6vR6PRSO/YxYvRlCoVJNW0Fs4YxcZeoEyZoPxN\nE0cI9SUq1GoVI0YIGQjxc7EmWRxLjh7dxcsvC8GCh4cXo0ZNZfv2FZw7d0q6P9sATC5XoFCosFrN\nDB8+FZ3OPZ/RIGf69BXExcWwfv1iNBoNS5bsRCZToNN5IM45CQmXOX/+ENWqNSM09BLLl0fSsGEf\nTpw4yLvv1uf110syenQH3nmnLjduXGX+/D0OXlWXLp3m6NFtfPLJAod73779F/Ly8njrrVGYzSas\nViTlwzVr5lCxYohT76tLl87QuvXrDp9nZ2eQkZFKp069HY5lZd0lJyeTNm26SJ+JtCy1WkNyciIN\nGjTLr3vRS2scmUxGRMQRypatglwujHsqlSAakZOTk29Am07LlvaGvr16vcuff4ZTqlQprFYra9Ys\nw2Qy23hHCYFVUtIt9PosWrbsVrjLEo4d20eFCoL4mTj2arU6PD19+Oyzb9iz5w/+/vt3atSoV2Qb\nIGzyZmbeoUePIfTtOwx3dw/mzp0oUfhsx+7Vq3+iZs36qNWuDr5UImQyOVqtG716vcvs2XMey9RX\nrGWSy+WPVcukUCgkgQjgsTb87qXidy+IHnK2EP4en6+123+qt9WrVyciooB/fObMGYoXL463t/cD\nXa/T6cjKsvcceNpBla0JW2FDWK1W+9zU6VitVi5ciKJEidIYjSZcXJSo1WpcXJTExJzHz68kp08f\n4bvvxjNyZE969XqZbt1qsnTpTMxmC2XKlOfHH2fYtQdw8uRRFAqlU8ofQLt2vbh69TwgqMoVpj6A\nwG/38CjGtWvH7D739vYjJ0eO1WrGas0CZFy6dB6tVgjIzp8//yQezXMPwVcFNBqBcnLhwm50uuJ4\ne/ug1boSGroAudyFBQu2oNEIKn+RkacoUcJR7TE9PcVptjE29gJVqjTgq6/ms2XLz6xfv1o6dvFi\nBGXLVnK4JirqNO+805mNG5eQlpZKhw7Vad++Ku3aBdO5cw2iok6j1er4889QEhLiyc3NoGvXQZJR\nsFqtwmg0kJWVRUhIS0wmweyxMMLCDnLmzGmWL1/+aA+wEB4n4ClcZyVSLsQC6Mdt/wVe4EkiLy9P\novo5k9a3Ve4TF0C2izpnflTR0ZcoXToIo9HeV0pEcvINgoNrolS6IJPJ7eheAv0wj+zsVGbNCsXF\nRcb77/fEZCrwHxTbS029Q1paAr16vY3VKixQW7ToTIMGzZg06T3JT8tWoGLSpA+Ry81UqdKImTPf\nz89cCccCAkrz+usjWblyBtnZmQQElOWdd6aRk5PNq6/a1yZFRu7ngw8ac/bsPj76aBqrV0ewbt1N\n2rd/j/Pnj5KQcA2TKYcPP2zG5593Y/36BaSmJmGxWBg/vhc1arTh5ZcdJcNDQ6fTpElPSbxHoxGo\nfgaDgUuXztCvn6O8+rlzxzAaDXTs2Mvh2M6da9BoPAgIKO1wbNeuP9Bo3PHx8XM4Fh9/GbPZROPG\nLe3MasXl1vXrl/MzUILUulwuk+qWjxzZiUKholQpR8aCRqOlfPnauLt7VTagdAAAIABJREFUEhl5\nlF69GhIRcQLBO0oIinbv3oKrqy6/Tsz5+u769Ys0b24fsMnlclxdXWnWrB3t2vUgI+M2jRq96vR6\nEb//vgJvb3+8vQV1v08/ncHJk3tITb2NQiGX6IRpaXe4du0CQ4YI5stvvPEBMpmFX35Z6LTdl19u\nzb59ezl37pyU0bENrB40U2Rby3Q/wYkHgUhzFA3sH0VdUGzH3d0dNzc3ScXvXkFaUbVbz9s8+NQD\nqrt377Jz505pYF69ejUHDx6kffv2DucOGjSIZcuWERUVRVpaGlOmTGHw4MEP/F2FM1TPAuIO3vNg\nCOsMtoFgbGwsgYGV0GjUdnVG16/HcudOIvPnT8PFJZj27SfRt+8COnb8HKXSH6vVwPXrl7l5M5rY\n2GhsH/2RI/ucyrSKaNGiE2azia1b15GTk87rr7/l9LwaNULIy0shJ0egf1qtUKpURRISLqPTlaBS\nJcEg8PTpQ1Ss2BQQdunCwsKexGN6bNiq1jxrzJgxA5Dz0kuvAZCWdoPq1YVas08/HUROTgqNG3fG\n11eg2WRlZREXF+ug2Hf3biomk4H69R0Dqlu3blK9eh2aNGnL0KGfsXjxZC5eFCiXCQlxVK/+kt35\nR4/u4fPP3yIxMQeohkYTgsUShEwm/G5Go4ElS2bh5eXL3r2b2bTpN7y8fCX6BsgkAQtXVy0ymRwf\nHz+2bfsDi8UsPeuDB3czYcJQgoOrkZR0+wk90ScDcfISdxkzMzPJyMiQFM+eJl5kqF7gfjAajeTl\n5d2X6icKEoA986EoP6qYmBhKlSqPxWJxmk3Jzk6jTp3GKJUK5HL7jJfRaOT06TAUCheCgqrwww8b\nycy8zZgx79gJWwD89ddvuLl54udXAplMLn3+5ZffI5ebmTJlFIDU95MnjxIRsZfx43/kiy/mkJ2d\nxfLl0/OlwsFiMdO//zC8vUszfrxAq3vttUEEBzcmPHwPQ4bMRqRGA6SnJzNv3gg6dHBn9OgOjBnT\nkY0bvyUwsD5r18axePEZ2rUbQVaWmVWr5jBgQDCdOvly924KWq2cTZsWkZgYJ7W3Z89a0tNTGTly\nUj7FsiAQ/P33eahUOjsfQREbNiyiZMkqTp/1wYNbqVDB0dQW4NixXQQGOldt3bNnI56exaTMnouL\nCwaDgby8XHJzc8nKukvr1h0LSa1bUSjknDixH3//MuTkZDvN0F+4cIJatUJYuzaMunVDGDt2APPm\nCZuCcrmc06cPU6ZM+fy5KltSFRRx69ZN9PpsyXOsMORyOQ0bCkIUoaGL7GTSCyMsbA8hIa9I706D\nBs0pX74y06Z9JlH4ZDJYsuQ7PD29qVy5pvQd3bu/wYYNS50KWcyYMRalUsXChT9JGR2RdidmdB62\nlqmw4MTD1jKJCn8uLi64u7uj1WofS7YdhL8tUcUvLy+vyLbEDLiI53VT8akHVEajkXHjxlGsWDH8\n/f354Ycf2LRpExUrVuT69eu4u7sTHx8PQLt27Rg9ejQtW7akXLlyVKhQQTIifRA8qxoqkaogThi2\nqjBPMkX5NCl/FosF0VcEQKPREBd31cGDaseO30lKuklGRjJmsxvu7oGULVuXSpWaoNOVxWSyYvsa\nffRRL8aNG8bt24mAkJ0IDnY+KIMwEJQuXY6ff56Nv38Abm4eTs9r06YzYOLmzcuYzWYMBgOVKzfg\n7t1EypatR0rKJVxc1MTHRxES0gPBiBEGDnRecPqsYEsBFXePntZv6qzd6Oho8SjNmg0kLy8bs1lP\n376DWbRoJlFRh1AoXHjppWaS4a5WqyU9/Q7VqtUhNzdPauvEiX2oVDrUale777BYLGRnZxAS0hSA\nXr3eoV69Jowd+xZ5eTlkZt6lceOC3dbIyFNMnDgCKEe9ev8DGtK16wzc3bOxWAy0afMl33xzjc8/\nP4xM5k5CQixhYXupWbO+0/sW+129ej3Onj0m7dDFxFxk+vSRdOs2kOnTf+bChfPk5uY+1jOGJz/Y\nizunosGuwWCQFrNP810R7+F5K/x9gacPW8+pe1H9Cgdb4pwlbtQVDsSysrJIT0/F09PXqbrttWuX\nsVotVKlSW6KPia+nWG8VHn4IPz9hk87Dw4u5c9cSE3OSBQum282/R47spnr1utJCUXzPlUol48f/\nyOnTuwkL+0fqw5w5n1O/fnMqVqyJu7s77747gc2bfyEx8Vp+Jk6gE06duoyYmLPs2fMnANOnLyc7\nO5dr147Tr9847JdVMkDFuXPHiI09Q5s2b/DDD3/j4eFFmTLlGTLkM+bP38b69dcYNGgcIKNevddJ\nTExh5cpZDBlSj06ditGnTzBz5nyAt3dpdu3aSExMFC4uBb/Jtm2hNGnymtPf8syZozRv7tzP6erV\naJo16+D02OXLUdSv78xYVxC/KF++hpSddHFxkRSLDx/egVKptlMLtg2soqPPULlyHVxdBa+lAuEJ\n4fdJTLxK48avolQqmTBhIV988R27dq1h8OCOZGSkcfVqJHXqNJLEvURVQZH+vW3bOjw8vB2UDm2x\nc+cGAgLKkpoaz5IlczEajXYsAYD09FRSUxPp0WOw3Xv61VfziIu7wPHjh5HJhNqyY8d20qpVl3w/\nLsG65623PsFqNREa+pPdd1+6dIFz5w4yZcoSDhw4QExMjJTRcXd3l65/lCDGViTiYWuZbLNEtkyK\nx5VthwJ5dFdXVzsVP7FfRVH+nreg6qkHVH5+fhw/fpyMjAzS0tI4cuQIrVsLal9ly5YlMzOT0qUL\n0s2jRo3i1q1b3L17l2XLljndVSkKOp3OTjb9SQcktotjUZlI9L96Hn54W0NbMU0vBoIJCQl4eHjZ\nSZufOXOMZcu+BYrRocNEvLw8+e234WzY8A1z5vTgzz8/AKz067eY8eNPo1K5AwJ/+r33OjFr1miS\nkq7ToIHzQVlE06Ztyc29S9OmRaff69dvDAh0NUFp0IWaNRthseipWLEJqanX6dfvM0BPUlI6MpkS\ncHkqhq4PAtEHxWg0ShRQd3d3aaEiBuNPGoXfw969BW68XO6Kj09JDhxYASjJzr7Lhg0/8PHHMzCb\njTRpUrCzmZWVgcmkp0mTVlK2MTc3l4iIo/j42Ne3AVy5chGAChUKfKYmT16MSqXgo4/6AzLpWFZW\nBqNG9QX86dVrFTpdMDKZkqNHx1G/fje6d5/Enj3fkJJyEzc3P95++xdAQWJibL7wRdFo3bo7yclx\nuLm5YbVamTBhOJUrV+eddz5Ho3GlfPlKhIeHP9TzfJYQi3FVKhVKpRKj0Uh6evpjUTicwdmY+DyM\nXy/w7CDWTZnN5ntS/QpvIoqLIFuRClucPn0ag8HIpk1rnLI4jh8/hFbrZnOdkNmwrbe6dOkcFSoU\nKLwFBJTliy/mcuDAejZuXAMI429CQixt2/bIF1IqWAtYrVYqVapOmzbdmTt3NDk52Wzduo6MjCQ+\n+mgGghqqgk6dehAYWINx496UamGUShcCAyvSvv0Qvv/+M/LyctBq3Rk79if27VtH7dp1qV+/KwVL\nKytgom/fUbRq9TZ79/5Oz56lWbVqut3f9IYNCwgNncawYfOYNu1nFi3ay/r119iy5Q5ff72TMmWq\n59Mu5axePZnRo9vTqVMA3btXpH//eqSl3cJkMrBly29cuRIttX358nlycjLp2fNNh2d97Vo0en0u\n7dp1dziWnZ1JdnYG7ds7HgO4ceMK9es3A5BUgWUyIVgNDz+Av39Z8vJy7YQkxPcjOTkxX/HVilKp\nkDyvsrOzuHHjGkZjLk2btpOuad68A6GhBzCbcxgwoAVZWamS4W+Bd5Qm3zsqh+PHD9xzExcEE/pm\nzdoxZswsdu78lYsXz0sy6aLNxbp1q3B396RYsZJ242OpUuUICWnOnDlfABARcYKcnLsMGvQRWq1W\nYnmYTCa6dBnAn38usXsG33wzlsqVa1KvXhM6d36DmTMLRFKUSiWurq7I5fJ7ZnTuh0epZXJGM3yS\nsu22QZpGo5HaEtdItt/9sBm6/wqevx7fA25ubk8lQ1VUfdTzIr8tTka5ubkSZ1wcxMT+X7p0yS47\ndf36ZWbM+IS2bScC1Wje/E2GDv2Fjh2/5PjxxaSnX2bgwF+AmtSq1QpXV0/Gjj2IkBnSoFSWYv/+\nrRiNOTRsWLRcNgimfwBNm9oLV9judBqNRjw8inP58j8olYp8mokKtVqHXq/EbDbh4eEKWNi8eTE+\nPpUQPal27dr1+A/xAWGxWOwk8l1cXCQKqJjJFJ+9qNDzKIPTg0LMUJUoUQuAs2e3oNX6MmXKO7Rs\n2RWNRodSqcHTs6BO8fjxPahUOnQ6N2kxpVAoiI29QMmS5R1kcI8f34dO5y1RY0CYGKZOXca1a+fR\naDyYMeMThg3rQo8eLwFWAgNrEx29ktjY/bi6JqLXJ9O27Sc0bvwmfn6B/PabMFnpdN74+bUA5NSo\n4TxDJeLll1tgsZg4f/4MK1f+SFZWCpMnL0Wv15OVlU3lyk9GmOJp0xFECpW7u7udHO2Tfleeh7Hr\nBZ49TCaTRPUrarPQaDTaUf1sIZPJJJGKwkhMTMTXtxhr1sxlwIBWREUVGLabzWaio8/h61vcpq0C\n4Qix3io5+Tp16ggbbMIxIyEhrzB48CiWLp1GRMQJwsIOIpNBvXpNJeUwcS0psjM++GASOp0rEya8\nz+rV39G8eQc0Gq0UCMpkMqZMWUhi4g3WrVuMWl3wLEaO/Aq12pOpUwUD3UaNWvHyy92YNOlNvvpq\nPv7+FXB390VYYln57bdZ3LgRTmjoeVq2HMLvv8/ntdcCWLRoDBMn9mbJkq8YPHg23bvbBz4KhZIK\nFapy6dIxevUay8KFR1iz5hLbtqWwfPkpRoyYhtmci0rlRnT0YZYtG8/777eiU6cydO9emVGjuqNQ\naPj55+/Yu3crGRkFqoh//bUcX98yaDT2jAMQ6qfUanf8/Io7HMvISCcvL4fGjVtJcu22iI4+Q7Vq\n9SUqtriBa7VauHHjCiaTkYYNX7GhAiJluPbu3Y5O545crsB2jvHx8WfFir2UKVMesBIWdoQCeqXg\nwSXW1cbHx9CoURsHQQjb/mdmptClywCaN+9Ao0atmTTpfcxmEzqdLl9AI5d//tlOnToNnY73Y8Z8\ny927t9mw4VdWrVpI+fKV0Wp1EtvA1VVQQ+zdexgWi57Vq5cCEBFxnPj4i4wZMxeArl0HsXnzFuLi\nCqidouqls4zOw+Jhapnu5UH1JGXbbdtSq9WS7kHhtl4EVP8ytFqtXUD1OBkqUZP/XvVRT1tJ8HHb\nL2xoKzqgO6NaxMTEULKkEFDl5GQxZcpI2rUbi8GgRq0WhAru3LnJ33/PxcurNEZjDpGRJ3F1Lcho\nubp6UL/+MMBAnTpvUbHiZ4AL/fs3u2c/9+zZDsjYt2+H1G+z2Yxeb5B2OtVqNbVqvUxmZgK2j8TP\nL4ArVy7g7l6S8PA/8fDwAwyoVCUAYQB65513HvkZPihsvcZkMtk9A265XI5SqcTT0xOFQiENTo+a\nTi8Ka9asyf8/BXXqdMRqtZCScoXc3GTc3d347LO5hIfvx9fX3kPszJljdpkocWfp9u1bVK1aR5LB\nFSkWkZGnKF7cscA4OLgm7u7e5Oamc+DAVq5di0aYBLXcvh3DpUt/kZj4PTk5W+jRYxoKhZCN7tPn\nW65fP0RioqDa5+YWBLixY8ef97xfuVyOr29xtm//k23bVvL226Px8PDOD2I1BAfXYd++A0884/Ok\nYTuBi0G47bvyOJz2wu2/wAvYwpbqJ45ThWFr0lv4PRI3wZyJMVmtVi5dusQrr3Tit9+OEhhYls8+\n682MGWMwmUwYjUYSEq5StmyQdI1cLpfmAxcXF3JystHrM2nSRGAziLUXcrmCHj2G0rRpWyZOHMa2\nbX9QokRpG4aLfaZLpVKhUCiYMmUxUVFHychIYvDgMdLGl9h3P79idO8+jNDQOeTmZtv1a/z4RZw6\ndYDTp/8B4Kuvvkcu1zB16lt8//1m8vIM1KvXElADMmJiTtG/fxDJyTd49dWhKJVaNm78gbCw7dSu\n3dyp6S7A5Ml90OmKM2jQx5jNJqkmLSAgkMaNO5GZmcaXX65gxYrjbNgQy/btiSxffozhwydiNuvx\n8vLi2LFNzJv3EX361KRz5wr069eQv//+E7XajVOnjjksZo8c2UG5ckXVT61Ho3HH19fP6aL39u3E\nfHaDTFpzgJD13LNnA25uvtLvUkAFFBARcYzAwIpSlse2Pkoul+PjUxp3dy9Wrvya2bPHF/pmGTdv\nXsdozKNly87k5uaRm5vjcG9btqxDq3WjWDFh3hs3bj5qtZIvvhgBCMGdSuVCUtI1Onfu77SmVadz\no3PnPvz887dERobRq9dQu+MiDd3d3Z22bXvwxx8L0ev1fP/9RGrUeEkS5HB396R9+97Mnv2tdG1h\nU1/bjE5GRsYjbardr5ZJ/Lu9XxDzJGXbxcBKXFMXDtKexznq/1VA5ebmZkf5exTYZnPy8vKkwvHn\nSX7bWUZNVNhxNskBREfHUKpUOQCWLJlJqVINeOmlXty4cQV3dx+MRj0//NAbf/+yfPbZASpXfoVT\np5bi6WmvAPT66/8D1ISHf0NOjgyttidmMwwd6ihCIuL48X1otTqOH9+PyWTKz0gVKA2K/e7atQ9W\nq5HU1AIaX7ly1bh16yplytTl8uUjlCpVERcXVxITkxECKjdSU1OfxGN1gC2F8lG8xmxrZ2w9ih5n\nsWyL4cNFDxML9et358aNGKzWHKxWC7NmrUUulxMTc47y5avaXXf58gXKlnU0ehTqpJrl7wSqMRoF\n7npcXCwVKlRzOD8y8jSZmeKOqBpwRy53JSioP7m5nnTqtBKoS/HiVSlfPkS6rmzZugQEVGbduqkA\nJCcnAEGsWPEdRqPhnvdcvXpd9u37Ezc3d5vdXmEHs169xpw6dRKz2fxYGZ9/IyApXGeVm5v7wJK0\nheGs/8/j5PUCTx4iG0Ck+jmbL/Ly8hz8CEWIIhVFZbViY69QsmQ5tFo3pk//mcmTFxEevosBA17h\nypVL3LmTQKVK9rYMVqvVxmvpIC4uary8fPNrqsySbDjA6NGzKFasBKdO7aFevcY2tV0Fc7utiXBQ\nUBXc3HyxWkEuF+TRbY10TSYzAwYMw9OzGJMnv23Xrxo16hES0pnp04fl12kpmTjxZ06e3M+FC0eZ\nMmUNp08fYMCAj1Gp3PH2Lo5a7Ul4+Hq2b19AYGAQ778/lwEDphMTE0mPHqWZPn0QGRkF89X27Ss4\ne/YIEyeGYjA4Zgx/+ulzPDxKEBJiv2kZEBBIYGAVLBYLS5bsJzT0OH/9FcumTbFMnLiUFi06YDbr\nycq6xbhxA+jcuQI9e77Exx/3Z+XKBcTEXJDk5gvj6NHdlC4dLJnC2+LatWjMZrNUTys8ezlqtRpX\nV1ciIo5StmxlhzlODKyuX4+ibt3GqFTq/Pook119VEzMGdq06c5XX81n794/+eSTt+zodNu2bcgX\nL3LHzU2HQqF0kDg/dOhvgoNrSNfI5XKmT1/OhQtH2bFjEwCbN/+BSqWhTp2Xkclk6PV6BwGNYcO+\nwGIR7qNFi85On5VCoeC9977AZMpj3rzJ3LwZk08rLbj3114bwu+//05iolB3Xjiwsc3oqFQqsrKy\nHpl2V1Qtk20Q9yB4krLtooKobZCm1+ufyznp+YgQHhCFRSkeJsPjLJuj1WqdZnMKX/dfgW2WBO6t\nOFj4nkRT31OnDhEefpiOHb8CIDk5EX//ABYvfgeZLI/33luHXC5n4MDFWK05WCyJhdqVU6VKP8DE\nrVu/ULJkXSpVGsKtWzf55ZfvKQyB636Zvn3f4/btOGmyVqtVDhme6tVrA3KOH18nfVazZmOysm5T\nu3Z77ty5QbVqIVgs1vzMmRqZTBC5+Pvvvx/lkTpF4Vo0pVL5yF5jYO9RJC6WH9f8VaQeggsqlVe+\nR9RKALp1GyIZOCcl3aRmzRC7a5OSEqhWra50ryAjLu4SVitUrlwVQWFPKRUFp6WlULlyTTu+vMVi\n4X//6wvIUKuDgUoolWYqV+7Nq69+jK9vaTZvngZE0b37OIf+t2v3KTduHCY7O52cnHT8/CphsWg4\nenTPPe+7SZO2mM1G3nzzE4djXl5+eHn5EhcX5zQ7+F/5W75XwCZOruJu46PUWb0IqF7AGURGhjj/\nOQuYxEWcs9pm0Y9KpVI5vItiVuvq1avSxh1AvXrNWL36IOXLV2D06L5kZ6dRt25juzahgP4TEXEc\nHx///ODIgIuL/ZgrLo4Brl4toFGJ5xQ2EU5NvUNmZgparRszZnyKi0vBpqPVCgaDHrVaxbhxCzh3\nLozw8H129/XFF3PIy9MzYEADBg5sxJQpb2O1mpk6dTDXr1+hb9/PWbNmNmPG/JRPO67J++8vQJCD\nt9K2bX8GDBjO6tXnePfd7zh37jR9+wbx5ZfdCAvbwYIFn9Cz51iCgqogkxXUK4EQvO7fv4F+/T51\n+C0Afv11DqVKVcPVVSt9plJpqF+/JaVKlUelcmPt2lNs3XqZxYv30KPHm6jVZrZsWUJeXja//jqH\nYcO6snjxtyQm3sh/JlauXo2iXr1mDlQ/ENT/PDz87fpZ8BvIiY+/yksvNcVqtZCbm2M37ubl5ZKV\nlUqrVgV1W2IGw2AwkJGRQXp6Em3avEbduk1YuHATly9HMHRoFwwGoSb89OlDVK0qqhYKGR43Nzc7\nifO4uCgHe5aKFavx+utvMn/+ONLTU9mzZzNVq9aW7lmn0+ULaORIm1gCnc4/f64tWuxIpVLRvn1P\n9u79jeDg6vj4FCMnJ1eiJHp7+9GqVXfmzBFogPcz9bWl3T1KdshZ5isrK+uR5oAnIdsuUg3FIM3D\nw6NIVdH/Ov7fBVQPm6ESF54Pks0pjKf9gz9IQCgu7sU/9IfNkoiIjY2lePFSLFgwma5dp6HRCGbK\nGRmpmEy3uXnzKO+++zsqlQYg//mU4/btAxgM9oNJjx4fAhosljRcXOJo0eIjFIpg1q5dTErKLek8\ni8XK/v1/I5fL6dJlAEqlioMHd91zp8TdvRhRUQU1UULglMQff4zBYjGwd+9szOZUXnmlJ+CG1ZoO\neNlka5zjQZ+10Wh0MG2+X9D9oLBdLGu1WskL4lGyEBMnTsz/PzXFi1dn6tRhxMRsAhSMGCEcE96b\nTBo3biVdV6DYZ7/jKWQRPe3oGQB6fS5GYx5Nm7ZCNF7Mzc3lo4965A+qtTAaPVAoFJhMeho3FnxS\nunSZgMFwDZBToUIjh/5Xq9YGtVrL6tXTUSpVNG7cBoPBjy1bfr/nfYeHC+bSJUqUdvqbVKtWj6NH\nj9plfFQqlZQdfJAg9mlnqB6kfVGq+FHqrP4rgeML/HdgS/UrqjZKZD7YmvTaXi8qvok0Pdtj4kbZ\n1atXKFky0O4YyJk2bTl9+wpj9OLFczGZzJKwj3CecP7ly5EEBlbM97BSOGwWWixmTp06gVyuJDLy\nmOSHZ6vwZ9v3FSt+wMvLl8mTfyIq6igHD+6WjonS5AqFgipVatCwYWdmzvxQWixGRkbw5puvYDbr\nSU+/Sc2adejSpT/t2vUDlPz444esXTsTi8XE118PYfbsLURGnuL48Y0sXHiEmzfj6d+/MlevXkCt\nVtG1a39WrDjBZ5+FcvXqVSZO7I2Li4aWLdvbqCkW3OvixZ+jUrnRpUs/p79VRMQhOnd+w+nvvXfv\nn1SsWCCXXqZMBfr1+5CZM9fSs+e7aDSefPLJDAICirN37xqGDHmF11+vy9ixQ8nKusurr3Zx2u6Z\nM0cJCnJOFczLyyH7/9g778AoqrWN/2ZbdjebQnpCCKEn9Cbd0EG6gBcbKgpSREUQL4oFBVQUsYAg\nItIscGlKEYj0LhBCgBBaAkkgJCG9b9/vj8lsdrOLCopX7ufzF0w5c/ZMZua8533e5ykrpmfPAXh4\nqFGrNQ5BvIlDh/agVKoIC4uovEciTVMQRBXikyd/QS6XExISAUDt2g1YuXIXJSU5PPlkH0pLS8jI\nSKZbt/7VrixUSpzruHQpCYvFSOfOfaguZz527Gv4+wfy6qvjuHr1nNO4St9mUSZdoKysjIKCfPLz\nb6DRaPnwQ9dFQUcMHizeh6ZNO+LpKc4ZHCmJDz30LKtWrSInJ+d3mfpKtDu5XH7H2SHHzJdMJsNi\nsdxx5sudbPvvUTSW5q+Oz/Gt3j/3Av7nAqrfk6FyzDBUVFTYa17uJf+o6pN7pVJ5x1mSsrIyCgvz\nOXBgBwaDlcLCYvuHrKKihOTk1XTrNp7g4Pr2c8xmMzZbGB4eGjZunOPUnqenDh+fNoCR1NTVGAxF\nDBv2OVCDF174l3210mDQs2fPT4SH10GlUlGvXiP27PnpV/vasGELCgrSAYiL28qnn/ZHEMqpVasT\narUfRmM+cIW4uP+gUAQABpTKcHJy7pz2Vz17KdEX7pZpszRZ9vb2RqfT3VEW4sMPP6xsy0RGRh4G\nQyZQTFBQlcHymTO/IJMpCAurUtkUFfsE6tZ1NuI9dy6eoKBaLteJjz+EQqHG17cGarXoaH/kSCyX\nLiXi5dUJ8Eet1qLTlQE1ycq6CYBKpUEmKwWMmM3OND6z2ciWLZ9hsdhITl6H2bybzZufw2JJ4fTp\nw6SmXnL7m202K/v2bUKhULF//1a3x0RFtebQoSphCsePikajsQex7vxR/q6oXmdVWlr6m9TRe3H1\n7x/cPRgMBrtc/62ofo4BU3U4ilRUN/eVakPLy8sxGAzUqFFFE3cUm/D3r4lCoeLKlQSeeqoPN29m\nVb5jRWEHgOzsdJo0aY3VanHJkonvaRPHju2nZs0Inn76JZYtm8OlSxfsk8Tqff/ll5/p2rU/9es3\npXfvB/nkk2kYjQYsFotTvRLAq6++j9FoZvHiN9m8eTVTpw4lMrIO69efoW7dtly6lMDIkS/z0kvz\nWLAgFkGQ07fvw9SuHYXJpGfSpF707z+O+PiDfPvtbL77LoG6dTvq6xHfAAAgAElEQVTw/PNd2bRp\nceW7SIXNZqW4OIvatRsTHNyI556LYfLkXpw7V2Vsr9eXs2PHt4wcOQ2ZzPVZ3r//RywWK4MGPeL2\nficnJ9Gr1zC3+44e/ZkGDVrSvfsQ3n57CWvWnGD9+gQefvhZrl9PAmD8+Ad48cVH2b17O1Zr1Tvm\n+vWr3HdfjNt2Dx/+GaVSQ3BwqP1eqNXqSvq4mUOHdhIcHG5/ZzlKrYONw4d3ERJSE4VCYff/9PKq\nwcqVe1AqYeTIHpjNJrp0cV9eIAgCsbE/EhAQglwup6ysDINBjyP97oMPVpKaeg6w0qlTb6xWq9Oz\n4BhYrVu3Cq3Wk8mTZ/HLL9vJzs50vWglFi/+CIXCg9jY9dhsYobXkZLo6enN/ff359NPP/vdpr6O\ntLs7zQ5J7UgLjH8k8wXOsu1Wq9XFsLg6pN9a/ffeK+U11XFv9voW+C2VP8f6KEeq1p3WR91tUQp3\nkFYJpcm9lFG7kyyJ1P/k5GRCQsJZs2YxZWWFbN36Km++Gc3mzZ8CaXh5+dOnjzOt4OrVJGQyBb17\nv0hi4oZqijoCDRr0BOTodCHEx3+Oj08oAQFdKS4u4ocfViE5nycnn6FdO1FWvWvX/qSknPnVPg8a\nNAKLRc/RoxvYsOHfdOs2hrp1B2I0elGvXhe0Wl8CAjqTmxuPt7cCsKLV+gFWEhISbmt8bqcW7W7B\nndqbJOt6K1StMAVgsxnx9Q3Hak0FBNq0qco8xcXtxdfXWcXpxIk9Lop9AOnpl6lTpxHVkZBw1KmN\nrKwMPvxwKuCJh0dzIJdu3Z6jqOgK/v7d2bdvOwAlJZlYrSLN4Oefl9jP37//O958syXHji2hceNu\ngI377pvK5MlbUasjUSh0bN26xu3v/vHHNVitJu67rw/nzp10e0yTJm04cuSoy3ZHGoROp7PXWbkb\n679DhsodpI+iI3XUXYbzH1GKf+CI30v1k2qZquNWIhVSobvRaEStVpOamkrNmhH2Y6QMlFQDdfFi\nIv7+gaxatQ+tVsWECYNJSblor3+yWq2UlxfSqlVnF6qf1EdBELh06TRNm97H8OHP0Lz5fbz++mgq\nKsrtNDsJly4lUVZWwEMPjUGhkDNp0mxUKjmzZ0/FYDCiUjlnhFQqDyZMeJutW7/liy9e5cknp/D+\n+9+h1eqYOXMxWVnX+eEH8V1Wv340/fo9y65d65g3bwsffLAVsLF586dYLAYOHvyRyZP7MH36Qp54\nYiZffjmdsWM7MGZMVz766Cn69x/JokUH+eSTzcybtxeNJpRp0wYzalRLDh78kblzx6PV+jNsmKsc\nOsC6dZ/TuHFntwvECQmHMZvN9Onj3vg2NfWSk2w5gFbrxaBBo6hXrzEREU155ZW5KJUWPvlkMkOG\nNOW118Zy8uRRKirK6NGjeoZIxNGjOwkJiXTZLpfLUavVpKScJTq6JXq93umdKwVWFy7E06zZffZz\n5HJ55YK4nK++ikUuF+nphYW3XjxNSDhM69adUKtFv0Wr1VYpfmEAbISG1iI0NLIyGMi/5btSEAT2\n7/+J9u270q5dD0JCajJ79itur1lRUc6pU/uZOvV99PoSe9bUmZIoZ8CAkSxdupS8vLzbej/faXbI\nEZIP1J+R+QJn2fbqhsXVr/t7SlLuFfxPBVS3ylDdaX3UfxuOAZujHLfNZrNLc/4Z0u3JycmYzVbu\nu+8hZs48y6xZSQwZ8g5Hj34OXOfxxxe6nHP5chIajQ8dOjyJTAZ7965y2l9cXAIEk5d3neTkrRQU\npNK9+4tABMuXf4zFYqSsrJSSkjwGDBD9hfr0GYbBUMbVq8m37Gvz5q0AGZs3v0H37mPp02cS9eu3\nIDc3nebN+5CXd40mTbqjVregsPASYKOo6DygY9SoUb9rPKqP9d8he+mYhRAEwUVy3fFFJaoaygEl\n4EGTJk0xmYoRBDmdOlVJ2J8/H094uHMmKinppJNin9RsXt5NmjZt49Kvy5cTCQ8XVbmsVisvvjgc\nEOjW7R1yc0+i00Vy/XosSqUvPXs+Q1lZPleuXOby5c1AIE2a9OXYsW8wm40sWPAE27a9SbduTzNz\n5hkeeuhDwAODIYvQ0CjatHkUhaIFZ8+6D5Y2blxB+/bd6N69H1lZGVTJ6lahVq16FBUV2QuA3UGh\nUKDT6fD29r7lWP8dAyoJv1ZnJSlWVV91/Tu/B//B3YM0AZN8CW8nYJLOry5SIa14i0qtVVmtK1eu\nEBoaYT/PaDRVZrTENtPTkwkNFWW8P/10PU2btmLq1Ec5fvwQNpuN8+cTEQQZ4eF13VD9RGl1hUJO\nQUEm3bsPAGDGjEXIZDbeeWeyixfV6tVLCQmphY9PDbtQxeuvzycuLpYzZ06iULi+7+vXj8Jms+Hj\n48cjj0y0b/f3D2T48BdYtux9ysqKAZg48Q10uiDeemskzZvfx+TJCxEEGUOGjCUwsBYpKad59NF6\nrFr1OjabhWvXzpORcZa5c7fy3HNzK4M5Gw0aNOb9979j8eI4wsNb8d57z3LkyFY6dXJPuysqyuPq\n1fM8/fTLbvf/+ONSatZs5LbOKSPjKgZDhQulz2w2IZMJXL6cSKtWnenadSDz5q1l8+Yknn9+Bvn5\n13jjjZEAbNz4nb2myRGXLp2lSZP73PbJZrORl3eDXr0eRKlUYDDo0ev19sm81WolN/c6PXsOqbzP\nCruSnkgnN+PlFYRCIWfMmAHcvJnlcg2TyURubgaDBz8OiCIk4jxK8o4STXnz82+i1Xoybdqz3MoP\nKT8/l9zcazzxxItoNBqmTfuIS5fiiI8/7qLW+/XX8/H09KR790H06TOM7777rFprIiWxTp2GdOzY\nm8WLv7yjTNPtZoccIal6gvvM150GVtUNi6vLtlen+zlmJ+9F/E8FVFqttrIQX4RE7btbGYa7naGS\ngkGJmig9MGq1+k9NiSYkJJCdfYOuXas+EO3bP1pJmYNz5464nJORcRU/vyBkMhmtWg3hyJGvnfZn\nZ19Do2mK1VpKVFQvTp78mNTUrWi1Omw2FfPmvc7PP29FrdYSGChSANRqLf7+QWzZcus6GZFeoECl\n8qRPn0kAtGgRg8FQRMOGnbBazYSGhqLX6xk5UgoEC/DwqMeVK6m/Og6OgZQjDfTvlH52XI1yFFWQ\nJvuCIFTKpdcAiggKiubw4UUoFAHYbBbatKmqV8rISHMo4BWRlpZC3brOin0Wixm9vtylrgogM/M6\nUVGix9WcOZMpLs5HpQogJ6cIMNKmzUiSk3+iTp2++Pj4EB5eh4MHYzl/fiMQzPDh76LX5zB7dldy\nchKYMiWWvn2nIpPJiIv7BUEIJCVlHwBduvRFrxfIzc0mMzPdqR/Z2ZncvJnG6NFT6dixKxaL2W44\nXH38mjZtzbFjx35zrCXTSGnFTqLSST42f3e4q7MqLi52mqjAPzVV/59hNBrtf8/uaqOkY6QJbHVI\nk8fqgZggCPbgXdp39epVgoJEerHZbKkUWahq8+bN60RGNrTLms+a9RUPPDCMDz6YxPbtP3Dy5GF0\nOm+3VD+TSQzOLlxIBCA6WhTVkcnkzJ79FZcunWDjxu/tC0RWq5XExF+IiennVK/RrFlb2rS5n3nz\npjpR2UCcdL722igaNmxGcXEBe/f+4LR/1KgX0OkCmD372cpry5g5cwXnz8exe/c6+vQZSpcuD7N9\n+zd8/vluXn11JYKg4KGHnmfTpiw2bEijVq0WvPrqgxw7tsNewyV5GYaF1WL69EXUqFEbnc6XXbtW\nMHx4Y1atWuCU0Vm+/F28vUNo3Nj53S7h7Nlj3H+/e1W6LVtW4usb6iRk4aiOWFiY55TZkslk9O07\ngi+/3E6LFh3Q6XzZuvVrhg5tyVtvPU9mZoZ9vPPysunWra/LNQHOnUsAbDRteh8KhRKNRrQd0etF\nBd34+GMIgkC9ek1dDKOlwCo7O40pU94nMDCQsWMHkZ+f43SNXbt+QqlUUb++c42XeL4osHTx4jn0\n+lLmzVvN9esXWbfOeaFYwrffLsHX198usBId3ZLo6BYsWDCzUv22agFu164N9O8/AoDnnnsDvb6E\nDRu+cWlTEARGjBjPkiVLuHHjxh1T+H5vdkiCNM90R7uT5hrAHfcHnGXbDQaDnZIuBceOuJcX+P4+\nM8U/AVIxbGxsLGfPnrX/Qf8dMgy3A+kFJkXyf1RF7laQAsLt22OJiOiEr2+VH1Fi4j7M5hx8fTtz\n4MAnJCfHOZ2bm5tDaKhYU9Ov33T0+ptcunQcm81aWdyYT+/ewwEN2dlZXLt2iFOnlqDXXwH0HDny\nM/v3b6NOHecMScuWHYiPP3jLPq9evRQwOj3UNWoEIZMpuHw5EZ0ulNTUo5XGgD6EhjYBzHh4hAA2\ncnNzndqTgm6pRuBORT3+ariTXAfIyspCfKx9EQQLen0+SqWK8PA66HQBTs9AcXEB7dt3dWq3oCCH\nli2dVxHPn49HJlMQFBTi0o+SkkJat+5IfPxh9u/fgSAoCQnpyrlzW4FggoP9KC+/SevWTyGTyenR\nYxB6fSp6fRlabSg2mwxBUKHX5/Lqqwed6vQSE+MJCupAWdkNCguz8fcPQq32xNc3ikOHnM2aly9f\nQEBAMDVrRqJUKvD1DSI2dp3bsWvYsKVb2t+t4Lhi5+HhYadI3YlYyO/B3ciAOWY4ZTIZZrP5T5Xo\n/wf3HiwWiz1rCe7rFsxmMxaLxamWSIIjnc+damT1eqyUlKuEhERgtdowm00utL3S0nwaNmxm/+YB\nTJz4No89NoEvv3yb3bt/JDg4zKWfUuCmUCg4cGAnNWr4V9ZxidepVy+aUaNe4ttvPyY9/Qo2m40r\nV5IpLy9i6NBRTqp+BoOB116bh8lUxoIFs52u8+mn72AylTN37hp69XqE+fNfdyrgFzNcCzl9+jAJ\nCYcAMaPVv/9YPvtsKmVlxbz66jx8fGoydeoAunbtxwsvzGfDhkXExn6DVuvFkiW76Nnzad5553GW\nLn3LPu5SfdqXX86kpCSDzz/fz/ffX6B37+Fs2PAxQ4c2ZMGCd6ioqGDfvh8YNGiU23uekpJIeXkp\nDz3kXqwiLm4fTZtWLbpJY6JUKjlyJBaFQkXduq6WGgCpqZfp128kGzcmMGXK+1y7lsQzz3Tn+ecf\nZscOsXaoWTNXlgPA3r3b8fMLdMqSiGa/WmQyGbt3b8XfPxibzeY0JtK9O3v2FDabmZiYB/jkk3X4\n+fkxevRAioqqjIz37NlKZGR914tXQi6Xs23beoKCwggOrsnDD49l1aqPKSjIczn28OFYunTp47Rt\n+vRPyMxMJj7+GGq1GoPBwPbtmzAYynjiiRcAUWVRzFLNdxHFANiyZT1Go5Hly5c70fx/b6bJEb+V\nHZLgqLLnDtUzX3faH8C+wCfJtpvNZqcFyltlBO8V3Ls9r4aKigqWLl3K1atXeeuttygoKECpVDp5\nTtwt/FkTEnfUROCuUhNLSkpISUmhQ4dRTts3b56FXB5EVNQgoqK6snr1S05BTFlZCXXqiC9WtVpH\nWFhjdu1ajNFooqSkGKvVSOvWnfD0jCYzM45u3cZTr14PRo8+glzeCJCRnBxPp069nK47cOBj5ORc\nc2tyW15exo8/LqVjxwcwmyucxAx8fPxISjpJrVotSUk5ire3P4mJcUyYsA4QKC4+A3jw9NNPA67S\n5+LvUP/pQevdhqT44+0tysOPGzeuco8Gm81AcXE6/v6tsdlKnOh9V69ewGaz0bhxC/s2vb4co7HC\nyUMEROUmLy9/l2tnZl7DarXQuHFzZsyYgKiqaCE9/RJgBgQuXPgOD48AfHzElWmNRodOV4zZ7EVA\nQAiLFj2GQiGr9JPxcGr/xo0rNG7cHq22BkeOiKa+ERH1KC3VcPiws3z60aM/06/fv+z/r1u3KadP\nuw+aoqNb31ZAJUGi0klG03ciFvJ7cDcphZJZqyRH7JiR/Qf/fyAxHxwzG9W/Y9Ii0+9R9asOqdjc\ncQHn6tWrhISEV2a8lE5iCiaTCZOpgujo1i7v4IcfHs+oUVPIzU0HnFezRaqfCZVK/EaeOxdPvXpR\n9m+pdJ3hw5+hYcMmvPHGOAwGA5s3r8bfPxgfH197W2az+M3RaHRMmjST2NhvSUu7AohWErt3/4cp\nU+agUqmYNOlNBEHJp5861800bdqKNm0e4P33J9jfCc899zo6XRAzZoxEJpPxyScbyczMYP78qfTr\n9y9GjZrFF1+8yt69oh3IpEnv8uKLi9m2bSUvvdQTo1Fk3cTGrmfnzq+YPn0pQUFhaDQannzyDdas\nucijj77A/v3fM2xYPQwGAwMHuhejWLt2IcHB9dBqvdzes8zMa/TtO9S+zWIxY7XaUCiU7Nu3hdBQ\n9wGJOGHPp1evwQD07Pkgy5fv4dNP1yEIBhYsmI4gyLlw4azb8xMTj9uZDo6QalsvXIgnKqq5/b5W\n97DatWszAQGh9oXGL77YjLe3jtGjB1JQkI/kYXUrwQoJ8fEH6dChO56enowc+TxBQSG8/fYkp+fk\nxo3rFBZm89hjzsrBQUFhdOjQgwULZtj9S9et+5qmTdtgNlvtdeZilqqU9euds1SlpSVs2vQ1w4Y9\nw7JlyykoKLAHMhaL5TczTbfCrbJDUjuOdL9fg5T5+qP9ke6pTqcDQK/X261L4N4VpID/gYDKZrMx\nc+ZMIiMj2bRpEyEhIRw5coSYmBgX+dY/G3/WJORW4gd/Rn3Ub2HlypWAL3XrtrJvO3/+ECUlaVit\njahdux4PP/wZBkMOu3cvBahUQTLSsGG0PZvWpcuzXL9+BJlM4OLFRGQyE+vXz0YmKwdMXL6cSGrq\nHkpKbtC06UNAA0CodEKvQsOGTVEqlezZs92lr4sWfYhW68nLL88GZJw+vc2+Lzy8PtevX6RZs17k\n51+jVq0GpKefR6lUIpN5AZmAH/v3H3ArfX4vp5mh6m8xNvZnwBsPD3Fc/f0jyc8vp6joJk2bVvlN\nHTu2u1J8ouo3x8cfQi73wNu7hlPbycmJbouJjx/fi1rtxaxZz2M0WpDLZfj6Ngdk1KjRBMgiMXEd\n4eHOAZpCkQn4U1R0lsLCy/z733tRKj04cGANBoMei8WM0ainoqKYdu26EhnZmqQkUc64XbuuFBWZ\nuHr1PGVlJQAkJJzAYChlxIhn7ddo1y6GjIw03KFRo+acO5foRA++XbiTLP8tsZC/C6RVQEmEQ6vV\n/vZJ/+B/Ckaj0UnVr7oyH4iZCan4vzp+TaRC2lcdaWmpBAaKLIjq9UmXLp1DJpNTo0aAy4TKZrMx\nYMBjyGQqkpNPs3r1Mvu+KqNesb3MzKu0atXJ/hw6XmfWrC8xGkv48MM3OH36KG3bdnHITtmcpMm7\ndx9E/frRvP32cwDMmTONsLAIYmJEwQW5XMGkSe+xZ8+PZGRcderv9OnzKhd4ZwFV1L+kpDj27t2A\nv38Q06YtYceObzl6dAcjRjzLsGEvM3fuBOLidmMymejefQBLlhwlKyubxx+PZu3axXz22QQeeeQl\nOnZ8AEHAnsGRy+UMGTKB775LQq32QqFQ8NhjrXn99TFkZ99w6tvJkweIiXFfe3XkSCyCIKN16472\nMRFr51QIAly8mEDr1l3cnvvLLztRKDyIiKjjtL1RoxYsWPAjoaGReHioefnlEYwfP4zk5ItOx2Vm\nXqFz51sHOzdvphMT0x+NRgOIC+iOQcHZs8dp2rSNXUxJoVCwePEWVCoZEyYM5+LF81RUFDNw4MO3\nvEZhYR6Fhdk89NBoRK9FJe+88yXp6efZuHG1fQHi+++/wt8/CH//YJc2XnnlQ0pKctm48Xtu3swi\nI+MiEya8jlKpssuky+VKHnhgON9/v8ApS/XBB6/h7e3D00+/wv339+ejj+YBzhQ+k8l0y0zTb6F6\ndsjR1Pd22Ft/Vn+k60rMj7KyMsrLy/8JqG4Hly9fRq1W88QT7lPOK1asQC6X21OVXl5eHDhw4Jbt\nCYJAcHAw+/fvZ+vWrWi12nvmhvyWEe/drtGyWCwsXPgFFktN4uOP27dv2fI+9ep1xGYTKQtqtY7u\n3Seyb9+nmEwGUlJEhT+FQlkplyujRYtBKBRK1q17my1bJmO1Hicr6zhhYUEApKcfwGAoZePGCURE\ntAE8AC+++WY+eXk3nfoVGVmfffu2OW3T6yvYv/9HHn10AiqVCqXShxMnqjjsjRq1paAgg2bNemCx\nGKlZsxb5+SJ/OypKEmIoA0TX87stff7fwMWLFxGFGHzR6cTVsBYtHiUqKoqionwnQYrExOOEhDh/\n/BISDruo/oGNGzfSqF+/MdVx7lwcPj4BHDu2F622BVZrMRCKTheATFaTwMBuWK1lGI0+9nOKitIw\nm0sRxULiGD16Od7ewdSr155TpzYil8sxmUwcP34EhUKJv38Q7do9Qk7OeaxWK82atQUgMLABCQli\nlmnt2uVERNSze6TZbHD//T0wGg1kZ2e49Fuj8aR27XqcOnXq9gbYDdyJhfxRo+C/QvTCEf8rf///\n4PdBVMsTWRCOLA7HgEqi+nl4eLg9/9dEKiSKmCNMJhPZ2dn4+ga4ZQGcOXMKjUbnUk8hMQmMRgNW\nq5FnnpnKd999zNq1Kyupfla7SqBYb1NCp059KuuwnJkdarWWadPmcfz4DvLyrjNkyBOV18Cu+us4\nd3j77S+4eTOVJUs+5sKFY7zyykdOfevatQ+Rkc15551nnbZrNFpGj36LTZu+Ji9PFEeoXz+Kvn2f\n4dNPX6a8vJQuXXrTu/fTvPfeGPLzsxkz5hV69XqaGTMeIynpOCqVipo1I/n225MoFN4sX/4azZt3\n4MknX3O6liCIxrEajYYjR3ZhMJSwcuVx3nxzKZmZFxg1qgMvvfQwV65c4sKFU5SVlfDII8+43FOA\n2Nj/EB4ebc8cOvpwGY1GCgpyeeCBoW7PPXBgm8v3xBG5uVk899xMlizZjkpl44UXBjN16ijy8nK4\ndi0Vs9lA58593J579mw8NpuFDh16IJPJ7N9uKctqMBjIzk6jT5/hlWMiqgKqVGq+/PInzOYy/v3v\nJ/Hy8gXkmExGHKXSJfzww2p0Om+Cg2vatwUHhzFs2FOsWPEhFRXlVFRUcPToTmJi3Ad/np46+vd/\nmBUr5vHVV58QEBBM3brRLjLpTz31MkZjGf/5z3JAzICeOBHL88+/g0wm8PDDz7FixQon8SSJwidl\nmoqKim6bsu2oZiuZ+t7pwuIf7Y+kLOgoonSvGvpK+Msjj4kTJ9KuXbtfHbTOnTvbi+1LSkqIiXHv\nayBh3LhxREVFuWz/K2TNb/cajlSzP2LE+2dg9+7dqFTeeHqGsW3bN8yb9wYXL8ZRUHCB++4biyAo\n7GnZnj1fRKlUsG3bApKTk9BoRLNWpVKFQiHHZrPh4VGDs2f/g1zuRXT0c0yZEsuoUUsJDOwKCIwd\n+x0m03W2bHkLkCOTRQMCM2Y859Svzp37cPnyaadtX331KRqNln79RmCz2QgNrU9m5nn7/qZNO2Gx\niMGpp2cwJSVXsFr15OXl0LatVERbBNiYM2fO/1QgJWH69OmIHwov8vJSUCq15ObmEB0tKmvVqlXH\nLkiQlnaZBg2aOZ1/6dJZatas59JuYWE+zZu7qjNdvXqJ7OwrgA8tW/ZBEDwoLLxB165jKS4uxMPj\nBnK5J9eunSQvL6PynN0EB7cAkoBwAgLE57ZHjxfIyRELytVqNZcuJeLvH0RFRQX1698PWLl48RiC\nIMPfPxij0Ye4ONFP6uzZo/TrN8Kpb6L3lR87d653O1ZRUa04evT2aX/gPuCRCngda9p+r1Fw9bb/\nCjiuzP+D/z+w2aoMfK1Wq51W7hhQSUHRrSY3UvDhblVbymoplUqn2ohr164REBCEWq118U0Sa5rO\nU6OGv8v1pExTYmICcrmS4cOfYdy411i1ai6bNv3HKTj75ZcDKJUqvL19XYIjqa1mze4jKkqs45Gy\nZRKtTal0rhPz8wtkxIgx/PDDImrWrE2jRi2ojhkz5nP9+hWX98yQIY8SElKft98eZd/2wgsz0Gj8\nmDnzSQAmT36XwMD6vPzyQKxWK5Mnv0fr1gN4881/ce1aMnv2bOHppztTUnKD1q0f4MyZI8ydOxF3\nEASBpUtncN993fH09KZFiy58+eV+5s7dgMGQz8SJvZg27VECA+u4pfuBWCsryaWLPlxVtXMHDmxF\noVDfsgbpwoXTNG/ewe2+zMw0TCYDMTG9qFWrLvPn/8BHH31Pbm46TzwRw+zZL+HtXcNtnR7Azp2b\n8fMLcgq2pUm4Wq3mxIkjCAI0btzKhQqo1er44ostGAylgBy12gOj0UhZWVklxbPq+IMHd7h852w2\nG6NHT8XXtwYzZ04mL+8mpaX5DB78BHp9BVarKyNh/PjXATMHD25i8OCRDnuqqG4ajVhL9f33n2Ox\nWPjgg1cJC6tN69ZdEAQZgYGh9Ow5jDlzPnBpX8o0abVae6bpTgIryX8RxOf2Tk1977Q/1SXT72VD\nXwl/6Qx+zZo11KhRg549e/7qYP+Rj7xCoXCqv/m7TBgkSoFENbtbQhO3g6++WkaDBj1o3LgVr776\nMVargRUrpuDnV4fc3ELUas/KvouqTB07PkVc3CoyMtLw8wuppCSKynvz54+gvDwHsGGx1KNBgyo+\n9ODBkwELRUXFNGnShzp16gFmrFYjSmUAV6+e59KlKm51v34jqKgodjLK27fvRwYPfsz+/44du2I0\nllJWVgSAh4cGpVLL6dPHCA9vQUrKUdRqHSdPHqJevfsQ/9QVgI2FCxfdvUH9L0IMEDR2Ja3hwz/m\n0qUE9PpsvL2D8fLyQhAEysvLyc/PoVUr5w9gZuY1GjZ0DrLKy0swmw20bduR6rhxIw0QuP/+N7h4\ncSMKRSg6XSA1azbFZDJQVnaGoKDWBAbWYceOTwG4fv0g6elnEQQ13t5t+OGH7wGIjGyDQuHBiRNb\nAIHr169Qv34TPDw8sNls+PnV4pdfNlbWfbWiqMhGXNwhTlwmR6QAACAASURBVJw4jMmkZ8CAKld7\nKeCpW7cxJ064z25HRbW6ozqq34JU01bdKPh2ueZ/tSz7/9riwj9wD7FWyWT3MJTuu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DKZ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\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lZrz/tOjFr7/+SqNGbc0vcGFhAYWFj3j99XctttNoNDx69JB7907h69sArVaDTqejqKgA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Ax48j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\nHOiTkpJQKpV5tpP2srjF3UF4oYAkloFkRNoE0NXVVRL4+O233+jZsye7du1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"text": [ "" ] } ], "prompt_number": 57 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Animations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib also includes a simple API for generating animations for sequences of figures. With the `FuncAnimation` function we can generate a movie file from sequences of figures. The function takes the following arguments: `fig`, a figure canvas, `func`, a function that we provide which updates the figure, `init_func`, a function we provide to setup the figure, `frame`, the number of frames to generate, and `blit`, which tells the animation function to only update parts of the frame which have changed (for smoother animations):\n", "\n", " def init():\n", " # setup figure\n", "\n", " def update(frame_counter):\n", " # update figure for new frame\n", "\n", " anim = animation.FuncAnimation(fig, update, init_func=init, frames=200, blit=True)\n", "\n", " anim.save('animation.mp4', fps=30) # fps = frames per second\n", "\n", "To use the animation features in matplotlib we first need to import the module `matplotlib.animation`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib import animation" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 58 }, { "cell_type": "code", "collapsed": false, "input": [ "# solve the ode problem of the double compound pendulum again\n", "\n", "from scipy.integrate import odeint\n", "\n", "g = 9.82; L = 0.5; m = 0.1\n", "\n", "def dx(x, t):\n", " x1, x2, x3, x4 = x[0], x[1], x[2], x[3]\n", " \n", " dx1 = 6.0/(m*L**2) * (2 * x3 - 3 * cos(x1-x2) * x4)/(16 - 9 * cos(x1-x2)**2)\n", " dx2 = 6.0/(m*L**2) * (8 * x4 - 3 * cos(x1-x2) * x3)/(16 - 9 * cos(x1-x2)**2)\n", " dx3 = -0.5 * m * L**2 * ( dx1 * dx2 * sin(x1-x2) + 3 * (g/L) * sin(x1))\n", " dx4 = -0.5 * m * L**2 * (-dx1 * dx2 * sin(x1-x2) + (g/L) * sin(x2))\n", " return [dx1, dx2, dx3, dx4]\n", "\n", "x0 = [pi/2, pi/2, 0, 0] # initial state\n", "t = linspace(0, 10, 250) # time coordinates\n", "x = odeint(dx, x0, t) # solve the ODE problem" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 59 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate an animation that shows the positions of the pendulums as a function of time:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(5,5))\n", "\n", "ax.set_ylim([-1.5, 0.5])\n", "ax.set_xlim([1, -1])\n", "\n", "pendulum1, = ax.plot([], [], color=\"red\", lw=2)\n", "pendulum2, = ax.plot([], [], color=\"blue\", lw=2)\n", "\n", "def init():\n", " pendulum1.set_data([], [])\n", " pendulum2.set_data([], [])\n", "\n", "def update(n): \n", " # n = frame counter\n", " # calculate the positions of the pendulums\n", " x1 = + L * sin(x[n, 0])\n", " y1 = - L * cos(x[n, 0])\n", " x2 = x1 + L * sin(x[n, 1])\n", " y2 = y1 - L * cos(x[n, 1])\n", " \n", " # update the line data\n", " pendulum1.set_data([0 ,x1], [0 ,y1])\n", " pendulum2.set_data([x1,x2], [y1,y2])\n", "\n", "anim = animation.FuncAnimation(fig, update, init_func=init, frames=len(t), blit=True)\n", "\n", "# anim.save can be called in a few different ways, some which might or might not work\n", "# on different platforms and with different versions of matplotlib.\n", "#anim.save('animation.mp4', fps=20, extra_args=['-vcodec', 'libx264'], writer=animation.FFMpegWriter())\n", "#anim.save('animation.mp4', fps=20, extra_args=['-vcodec', 'libx264'])\n", "anim.save('animation.mp4', fps=20, writer=\"ffmpeg\", codec=\"libx264\")\n", "\n", "plt.close(fig)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 60 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: To generate the movie file we need to have the program `ffmpeg` installed. Install it using:\n", "\n", " $ sudo apt-get install ffmpeg\n", "\n", "or \n", "\n", " $ sudo port install ffmpeg" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import HTML\n", "video = open(\"animation.mp4\", \"rb\").read()\n", "video_encoded = video.encode(\"base64\")\n", "video_tag = '