{ "metadata": { "name": "", "signature": "sha256:94eb05de5f9fd8730e0f0fa3197e20cd3292f0909c6e86b4c9cfc40d35dbe4cc" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "The following is part of my notes on scientific computing with python:\n", "* [Lecture 0 - Scientific Computing with Python](http://nbviewer.ipython.org/github/diego898/scientific-python/blob/master/Lecture%200%20-%20Scientific%20Computing%20with%20Python.ipynb)\n", "* [Lecture 1 - NumPy](http://nbviewer.ipython.org/github/diego898/scientific-python/blob/master/Lecture%201%20-%20NumPy.ipynb)\n", "* [Lecture 2 - SciPy](http://nbviewer.ipython.org/github/diego898/scientific-python/blob/master/Lecture%202%20-%20SciPy.ipynb)\n", "* [Lecture 3 - Matplotlib](http://nbviewer.ipython.org/github/diego898/scientific-python/blob/master/Lecture%203%20-%20Matplotlib.ipynb)" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Notebook Setup" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# load numpy\n", "import numpy as np\n", "\n", "# load scipy\n", "import scipy as sp\n", "\n", "# load data visualization\n", "import matplotlib.pyplot as plt # the tidy way \n", "\n", "# allows embedding of plots in the notebook\n", "%matplotlib inline \n", "\n", "# load image processing\n", "from IPython.display import Image" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Matplotlib" ] }, { "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, and PGF.\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. " ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "MATLAB API" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One of matplotlibs main features, is its MATLAB-like API. 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. 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", "To use this API from matplotlib, we need to include it:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from pylab import * # THIS IS DISCOURAGED! SEE BELOW!" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 5, 10)\n", "y = x ** 2\n", "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": [ "<matplotlib.figure.Figure at 0x7060320>" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: There is a difference between `show()` and `draw()` methods - clarify" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Object-Oriented API" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I'd encourrage not using the MATLAB compatible API for anything but the simplest figures. 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. \n", "\n", "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 include this we do (done above but reproduced here for clarity):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt # the best way!" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "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`:\n" ] }, { "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": [ "<matplotlib.figure.Figure at 0x6fadc50>" ] } ], "prompt_number": 7 }, { "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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QRER3MfmcnBz45huzC2nlSnNv50GD4KGHtLeziA/Rba7yh2tnNw8c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\nESmQCoSIiBTo/wMthehj0BeQMgAAAABJRU5ErkJggg==\n", "text": [ "<matplotlib.figure.Figure at 0x7128198>" ] } ], "prompt_number": 8 }, { "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": [ "<matplotlib.figure.Figure at 0x705a940>" ] } ], "prompt_number": 9 }, { "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": [ "<matplotlib.figure.Figure at 0x86606a0>" ] } ], "prompt_number": 10 }, { "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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27VKdhFyM/ciBysrk5vchQ1igDETpdB8/4TnAoUPAyJHAhg2Aj4/qNKQA+5GD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\nQmCC\n", "text": [ "<matplotlib.figure.Figure at 0x8672ef0>" ] } ], "prompt_number": 11 }, { "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": [ "<matplotlib.figure.Figure at 0x71627f0>" ] } ], "prompt_number": 12 }, { "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": "display_data", "png": 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"text": [ "<matplotlib.figure.Figure at 0x867a1d0>" ] } ], "prompt_number": 13 }, { "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\")\n", "# fig.savefig(\"filename.png\", dpi=200)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib can generate high-quality output in a number formats, including PNG, JPG, EPS, SVG, PGF and PDF. For scientific papers, I recommend using PDF whenever possible. (LaTeX documents compiled with `pdflatex` can include PDFs using the `includegraphics` command). In some cases, PGF can also be good alternative." ] }, { "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": "code", "collapsed": false, "input": [ "ax.set_title(\"title\");\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\");\n", "ax.legend([\"curve1\", \"curve2\", \"curve3\"]);" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "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": [], "prompt_number": 16 }, { "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": 17, "text": [ "<matplotlib.legend.Legend at 0x8686f60>" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots()\n", "ax.plot(x, x**2, label=\"y = x**2\")\n", "ax.plot(x, x**3, label=\"y = x**3\")\n", "ax.legend(loc=2); # upper left corner\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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lr9DQUHh5eSElJQUTJkxAaGgoACA5ORmRkZFITk5GbGwsli5dCoVCoa7QiIi0yvrE9Rht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\nOTk5yMnJgaurK8rKyjBs2DB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"text": [ "<matplotlib.figure.Figure at 0x7130898>" ] } ], "prompt_number": 18 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Formatting Text" ] }, { "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.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$', fontsize=18)\n", "ax.set_ylabel(r'$y$', fontsize=18)\n", "ax.set_title('title');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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jd4O6PyyIiLTVtbJrWJ+wHgkvJ7T5NRUP/iG9YcOGZt8jqW6oGTNmIDQ0FAAQGhoKb29v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\npqamD92vU7Qs7r9gz9DQUH3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"text": [ "<matplotlib.figure.Figure at 0x8b24080>" ] } ], "prompt_number": 19 }, { "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.). A good choice of global fonts are the STIX fonts: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Update the matplotlib configuration parameters:\n", "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'STIXGeneral', 'mathtext.fontset': 'stix'})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "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.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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GjBkYNmwYwsLCIITApEmT0LRpU3XVWGucbCei2hBCYHzgeMgN5PAf5d8g5kXq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\n6IZ+eOtJnTt3hrOz81OP5OhkkPTq1Qs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"text": [ "<matplotlib.figure.Figure at 0x86852e8>" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or, alternatively, we can request that matplotlib uses LaTeX to render the text elements in the figure:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "matplotlib.rcParams.update({'font.size': 18, 'text.usetex': True})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 22 }, { "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.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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LHAqg5HclyNPl4b/L/hsnzj9R6ZLSkmpPWgSA9vZ2eahvf38/GhoaIta73W75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\n4WttEM0UwyQGhkl6CxwKoFP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"text": [ "<matplotlib.figure.Figure at 0x8b57e80>" ] } ], "prompt_number": 23 }, { "cell_type": "code", "collapsed": false, "input": [ "# restore\n", "matplotlib.rcParams.update({'font.size': 12, 'font.family': 'sans', 'text.usetex': False})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Colors, Linewidths, Linetypes" ] }, { "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": 25, "text": [ "[<matplotlib.lines.Line2D at 0x8b4d7f0>]" ] } ], "prompt_number": 25 }, { "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": 26, "text": [ "[<matplotlib.lines.Line2D at 0x71372e8>]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "<matplotlib.figure.Figure at 0x8b21a58>" ] } ], "prompt_number": 26 }, { "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": [ "<matplotlib.figure.Figure at 0x852a320>" ] } ], "prompt_number": 27 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Axis" ] }, { "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": "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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JkQ7Uex81FYbnzp1Dr169MHfuXPTq1QtdunTBrVu33nmcUCjEzZs3ceHCBcTFxeF///uf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\nmgUcOQIYGAC7dqnnOfX19bFq1aqin0eOHAkrKytEREQgLS0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"text": [ "<matplotlib.figure.Figure at 0x8b5d5f8>" ] } ], "prompt_number": 28 }, { "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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Tg4eHBz4+PnqJFYCzszNhYWHpn8PDw/WGDYUQBd9f5/6ieZXm2aoBo4Zn27GE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\n7gsO1s2nWrgQXvDbXAijMdraghMnTuS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"text": [ "<matplotlib.figure.Figure at 0x86813c8>" ] } ], "prompt_number": 29 }, { "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": 30, "text": [ "[<matplotlib.text.Text at 0x99e1518>,\n", " <matplotlib.text.Text at 0x975ba90>,\n", " <matplotlib.text.Text at 0x8fe1400>,\n", " <matplotlib.text.Text at 0x8fd7cf8>]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "<matplotlib.figure.Figure at 0x9cdcb70>" ] } ], "prompt_number": 30 }, { "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": "markdown", "metadata": {}, "source": [ "With large numbers on axes, it is often better use scientific notation:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, exp(x))\n", "ax.set_title(\"scientific notation\")\n", "\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "from matplotlib import ticker\n", "formatter = ticker.ScalarFormatter(useMathText=True)\n", "formatter.set_scientific(True) \n", "formatter.set_powerlimits((-1,1)) \n", "ax.yaxis.set_major_formatter(formatter) " ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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lWHp4KU7fOI0T80/At4uv1CVRC7CLhogalHknEyFbQ1CuKsephacY7h0QA56I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\nCGfPnkV0dDReeuklAPw9GTZ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"text": [ "<matplotlib.figure.Figure at 0x9722320>" ] } ], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "# distance between x and y axis and the numbers on the axes\n", "rcParams['xtick.major.pad'] = 5\n", "rcParams['ytick.major.pad'] = 5\n", "\n", "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, exp(x))\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "ax.set_title(\"label and axis spacing\")\n", "\n", "# padding between axis label and axis numbers\n", "ax.xaxis.labelpad = 5\n", "ax.yaxis.labelpad = 5\n", "\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ERDVtTN6I//H/H3g6ejZofYYFEVELoxEarDi5Agt6L2jwNgwLIqIWZv/l/XCwccCA9gMa\nvA3DgoiohYmOi8aC3gsafDkDwLAgImpRrty9guPXj2Ni94mN2o5hQUTUgqyKX4UZPWbAwcahUdsZ\n9QpuIiKSTlF5EdYnrcdvs39r9LbsWRARtRBbz25FX+++6OTSqdHbMiyIiFoAIQS+iPsCC/o0/HTZ\nqhgWREQtwIk/TqCgrABPdXrqvrZnWBARtQDRcdF4qfdLsJLdX7PPe0MREVm4GwU30HVFV1x59Qpa\n27eu8X5D2k72LIiILNyahDUYHzi+1qBoKJ46S0RkwcrV5fgy4Uvsndyw762oC3sWREQW7MfzP6Kz\nS2d0b9v9gfbDsCAismDRJ7UT2w+KYUFEZKFO3zyN9DvpeLbLsw+8L4YFEZGFWhG3An/t9VfYtLJ5\n4H1xgpuIyALdLb6L7859h9SXUptkf+xZEBFZoA1JG/B056fxkPKhJtkfexZERBam4mtTN43d1GT7\nZM+CiMjC7EvfB2d7Z/Rr16/J9smwICKyMNEnG/+1qYYwLIiILMilO5cQlxmHCUETmnS/DAsiIguy\nKn4VZvWYBbmNvEn3ywluIiILUVRehA1JGxA/L77J982eBRGRhfj2zLcY0H4AfFv7Nvm+GRZERBZA\nCIHouOj7/tpUQxgWREQW4Nj1YyhWFePJjk82y/4ZFkREFuBBvzbVEIYFEZGZy8rPwr5L+zA9eHqz\nHYNhQURk5r5K+AoTgybC2d652Y7BU2eJiMxYmboMqxNWY//U/c16HPYsiIjM2M7Unejq1hWBHoHN\nehyGBRGRGWvO02WrYlgQEZmppBtJuJp7Fc88/EyzH4thQURkplbErcD8kPmwtmr+6WdOcBMRmaE7\nxXfwfer3uLDgglGOx54FEZEZWn9qPUYFjIKHwsMox2PPgojIzKg1aqyMX4lvn/vWaMdkz4KIyMzs\nTd8LF7kL+nj3MdoxGRZERGamOb421RCGBRGRGbmYcxEJWQkYHzTeqMdlWBARmZGVJ1dids/ZsLe2\nN+pxOcFNRGQmCsoK8M3pb5A4L9Hox2bPgojITGw5vQWP+TwGn9Y+Rj82w4KIyAwIIbDi5Aos6N38\n94GqDcOCiMgMHL12FOWacgz1GyrJ8RkWRERmoOJrU415umxVDAsiIhOXmZeJ/Zf3Y1rwNMlqYFgQ\nEZm41QmrMan7JDjZOUlWA0+dJSIyYaWqUnyV8BUOTT8kaR3sWRARmbAdqTsQ5BGEru5dJa2DYUFE\nZMKM9bWphjAsiIhMVEJWAjLzMzEqYJTUpTAsiIhM1YqTxvvaVEOkr4CIiGrIKcrBD+d/QNqCNKlL\nAcCeBRGRSVp3ah3GPDwG7gp3qUsBwJ4FEZHJUWvUWBW/Cttf2C51KTpG6VlER0cjJCQE9vb2mDlz\npt57Bw4cQJcuXaBQKDB06FBcu3ZN7/0333wTbm5ucHNzw1tvvWWMcomIJLXn4h54KDwQ4hUidSk6\nRgkLb29vLF26FLNmzdJ7/fbt2xg3bhyWLVuGu3fvIiQkBOPHV3770+rVq7Fr1y6cPn0ap0+fxk8/\n/YTVq1cbo2QiIslUfG2qKTFKWIwdOxZjxoyBq6ur3us7d+5EUFAQxo0bB1tbW0RERCA5ORlpadoJ\nnY0bN2LRokXw8vKCl5cXFi1ahA0bNhijZCIiSVy4fQFJN5LwQuALUpeix6gT3EIIvecpKSkIDg7W\nPXdwcIC/vz9SUlIAAOfOndN7/5FHHtG9R0RkiVaeXIk5PecY/WtTDTHqBHf1W+sWFhbC3V1/pt/J\nyQn5+fkAgIKCAjg7O+u9V1BQ0PyFEhFJIL80H5tOb0LyX5OlLqUGo4ZF9Z6FUqlEXl6e3mu5ublw\ndHSs9f3c3Fwolcp6jxEREaF7HBoaitDQ0AcrmojISDaf3owhfkPQ3rl9sx4nNjYWsbGxjdpG0p5F\nYGAgNm7cqHteWFiIS5cuITAwUPd+UlISQkK0ZwQkJycjKCio3mNUDQsiInMhhED0yWhEj4hu9mNV\n/0M6MjLS4DZGmbNQq9UoKSmBSqWCWq1GaWkp1Go1xo4di7Nnz2Lnzp0oKSlBZGQkevTogYCAAADA\ntGnTEBUVhaysLGRmZiIqKgozZswwRslEREYVmxELAAj1DZW0jjoJIwgPDxcymUxviYyMFEIIsX//\nftGlSxchl8vFkCFDxNWrV/W2feONN4SLi4twcXERb775Zr3HMdKvQ0TU5J7b9pxYGbdSkmM3pO2U\n/XdFiyCTyWrMixARmbprudfQ48seuPa3a1Da1j8v2xwa0nby3lBERBJbHb8aUx+ZKklQNBTvDUVE\nJKFSVSnWnlqLIzOOSF1KvdizICKS0PZz2xHcNhgPuz0sdSn1YlgQEUnIVL421RCGBRGRRE5mnsSN\nghsY2Xmk1KUYxLAgIpLIipMr8GLvF9HKqpXUpRjEU2eJiCSQXZiNgOgApL+cDlcHV8MbNCOeOktE\nZKLWnVqHsV3GSh4UDcVTZ4mIjEylUWFV/Cr8MP4HqUtpMPYsiIiM7Oe0n+Ht6I1HPR+VupQGY1gQ\nERmZuZwuWxXDgojIiFKzU3H21lk83+15qUtpFIYFEZERrTi5AnMfnQvbVrZSl9IonOAmIjKSvNI8\nfHvmW5yef1rqUhqNPQsiIiPZlLwJT3R8Au2c2kldSqMxLIiIjECtUSP6ZDQW9Davie0KDAsiIiNY\ndnQZvBy98JjPY1KXcl84Z0FE1MyOXD2CVfGrkDAvATKZTOpy7gt7FkREzeh20W1M3jkZXz/zNbwc\nvaQu577xRoJERM1ECIFntj6DLq5d8OFTH0pdTp0a0nZyGIqIqJl8/vvnuFlwEzv+skPqUh5Yg4ah\nFi5ciFOnTjV3LUREFiMhKwHvHX0PW5/fanYX4NWmQWGh0WgwfPhwBAUFYfny5fjjjz+auy4iIrOV\nX5qPCTsmIHpENDq26Sh1OU2iwXMWKpUKe/fuxebNm/Gvf/0Lffv2xdSpUzFu3DgolcrmrrNBOGdB\nRFITQmDqD1Mht5ZjzTNrpC6nQRrSdt7XBPfZs2cxadIknD17FnK5HBMnTkRkZCS8vb3vu9imwLAg\nIqltTNqI5ceWI35ePBxsHKQup0Ga9JvycnNzsXbtWoSGhuKxxx5D3759ceTIEZw/fx5KpRLDhw9/\n4IKJiMzZhdsXsOiXRdj2/DazCYqGalDP4vnnn8fevXsxePBgTJ8+HWPGjIFcLte9r9Fo4OTkhIKC\ngmYt1hD2LIhIKiWqEvRb2w/zQ+YjLCRM6nIapclOne3bty+io6Px0EMP1fq+lZUVbt682fgKiYgs\nxN//83d0du2Meb3mSV1Ks+BFeURED+jH8z/ib/v+hlNhp9DavrXU5TQaL8ojImpm13KvIeznMOya\nsMssg6KheG8oIqL7pNKoMGnHJLze/3X0a9dP6nKaFcOCiOg+RcRGQGGrwKIBi6QupdlxGIqI6D4c\nuHwAX5/6GqfCTsFKZvl/d1v+b0hE1MRuFd7CtB+n4Zux36Ctsq3U5RgFw4KIqBE0QoPpP07H9ODp\neLLjk1KXYzQMCyKiRog6EYXcklxEhkZKXYpRcc6CiKiB4jLj8MGxDxA3Nw42rWykLseo2LMgImqA\n3JJcTPh+AlaNXAXf1r5Sl2N0vIKbiMgAIQQm7JgAV7krVo5cKXU5TY5XcBMRNYF1p9YhNTsVv8/5\nXepSJMOwICKqR8qtFCw+sBhHZhyB3EZueAMLxTkLIqI6FJcXY/z347H8yeXo6t5V6nIkxTkLIqI6\nhP0UhoLyAmweuxkymUzqcpoN5yyIiO7Tdynf4cCVA0gMS7TooGgohgURUTVX7l7Bgj0LsGfyHjjZ\nOUldjkngnAURURXl6nJM2DEBiwctRohXiNTlmAyGBRFRFUsOLoG7gzsW9lsodSkmhcNQRET/tS99\nH7ac2YJTYac4T1ENw4KICMCf+X9ixq4ZiBkXA3eFu9TlmBwOQxFRi6cRGkz9YSrmPToPob6hUpdj\nkhgWRNTiLf91OcrUZVj6+FKpSzFZHIYiohbt+PXj+PT3TxE/Nx7WVmwS68KeBRG1WHeL72LSjklY\nM3oN2ju3l7ock8bbfRBRiySEwPPbn0c7x3b4bMRnUpcjKd7ug4ioDl/Gf4krd6/g2+e+lboUs8Cw\nIKIWJ/lGMt6NfRfHZx2HnbWd1OWYBc5ZEFGLUlhWiPHfj8cn//MJOrt2lrocs8E5CyJqUWbtmgWN\n0GDDsxukLsVkcM6CiKiKLae34Nj1Y0iYlyB1KWaHYUFELUL6nXQs3LcQv0z9BUpbpdTlmB2TmLMI\nDQ2FXC6Ho6MjHB0d0bVr5dcXHjhwAF26dIFCocDQoUNx7do1CSslInNUqirF+O/HI/zxcPR4qIfU\n5ZglkwgLmUyGFStWID8/H/n5+UhNTQUA3L59G+PGjcOyZctw9+5dhISEYPz48RJXS0TmZvGBxWjv\n1B4v9X5J6lLMlskMQ9U2ubJz504EBQVh3LhxAICIiAi4ubkhLS0NAQEBxi6RiMzQz2k/Y0fqDt52\n/AGZRM8CABYvXgx3d3cMGjQIhw8fBgCkpKQgODhYt46DgwP8/f1x9uxZqcokIjOSmZeJObvnYMtz\nW+Aid5G6HLNmEj2L5cuXIzAwELa2toiJicHo0aORlJSEwsJCuLvr31feyckJBQUFElVKROZCrVFj\n8s7JWNBnAQZ1GCR1OWbPJMKiT58+usfTpk1DTEwM9uzZA6VSiby8PL11c3Nz4ejoWOe+IiIidI9D\nQ0MRGhra1OUSkRlYdnQZrGRWWDxosdSlmJzY2FjExsY2ahuTvChvxIgRGDlyJOzs7LBx40b8+uuv\nAKDraSQlJdU6Z8GL8ogIANafWo+3D76NhHkJ8HL0krock9eQtlPyOYvc3Fzs27cPJSUlUKlU2LJl\nC44ePYrhw4dj7NixOHv2LHbu3ImSkhJERkaiR48enNwmolqVqkoR9lMYPjj+AQ5MO8CgaEKSD0OV\nl5dj6dKlOH/+PFq1aoWuXbti165d8Pf3BwDs2LEDCxYswJQpU9CvXz9s3bpV4oqJyBRdy72G5797\nHh2cOyBuThwc7eoerqbGM8lhqPvFYSiilmn/5f2YsnMKFg1YhNf7v85TZBuJ94YiIoumERos/3U5\nvoj7AjHjYjDEb4jUJVkshgURmaXcklxM/3E6bhXewsm5J+Ht5C11SRZN8gluIqLGOnPzDHqv6Y32\nTu0ROyOWQWEE7FkQkVn59sy3eHXvq/jkfz7BlEemSF1Oi8GwICKzUKYuw6L/LMKei3twYNoBPNL2\nEalLalEYFkRk8rLys/DC9hfgKndF/Lx4tLZvLXVJLQ7nLIjIpB25egS91/TG0/5P48cJPzIoJMKe\nBRGZJCEEPvntE3xw7AN8M/YbPNXpKalLatEYFkRkcvJL8zF792xcvnsZv8/5HT6tfaQuqcXjMBQR\nmZTzt8+j79q+cLZzxq+zfmVQmAiGBRGZjB3ndmDw+sF4rf9rWPPMGthb20tdEv0Xh6GISHIqjQpv\nH3gb289tx97Je9HLq5fUJVE1DAsiktTNgpuYsGMC7FrZIX5uPFwdXKUuiWrBYSgiksyJ6ycQsiYE\ngzsMxr8m/YtBYcLYsyAioxNCYOXJlYg8HIl1z6zD6IdHS10SGcCwICKjKiovQtjPYTh98zSOzz4O\nfxd/qUuiBuAwFBEZzaU7l9B/XX8AwInZJxgUZoRhQURG8dOFn9B/XX+E9QrDN89+AwcbB6lLokbg\nMBQRNSu1Ro2I2AhsSN6AXRN2oX/7/lKXRPeBYUFEzSanKAeTdk5CmboM8XPj0VbZVuqS6D5xGIqI\nmkVCVgJC1oQguG0wfpn6C4PCzLFnQURNbl3iOiw+sBirRq7CuG7jpC6HmgDDgoiaTImqBC/veRnH\nrh/DkZlH0MWti9QlURPhMBQRNYmr965i0NeDkFuai7i5cQwKC8OwIKIH9p9L/0HftX0xqfskbHt+\nG5S2SqlLoibGYSgium8Xbl9A1Iko/HzxZ3z3wnd4zOcxqUuiZsKeBRE1ihAChzMO45mYZzB4/WC0\nVbZFUlgSg8LCyYQQQuoimopMJoMF/TpEJqVcXY7t57Yj6kQU8svy8Vq/1zAteBrkNnKpS6MH1JC2\nk2FBRPUhltZDAAAP/ElEQVTKLcnFVwlf4fO4z+Hv4o/X+r2GkQEjYSXjwISlaEjbyTkLIqpVxr0M\nfPbbZ9iYvBFPd34aP47/kd9gZyE0GiAtDUhM1C4NwbAgIj2///E7Pj7xMQ5cOYDZPWcj+a/JaO/c\nXuqy6D6pVMD589pQSEjQ/kxKAjw8gEcf1S4NwWEoIoJao8auC7sQdSIKmfmZeLXvq5jdczYc7Ryl\nLo0aoawMOHeuMhQSE4EzZwBvb20o9Oql/dmzJ9CmTeV2nLMgonoVlBVgQ9IGfPrbp3BzcMPr/V/H\n2K5jYW3FQQdTV1ICnD1bGQwJCdqg8POrDIVHHwV69ACcnOrfF8OCiGqVlZ+FL37/AmsS1+Bx38fx\nev/XMaD9AKnLojoUFQHJyZW9hYQE7ZxD5876wRAcDCgUjd8/w4KI9CTfSEbUb1H46cJPmPLIFLza\n91V0cukkdVlURX6+dk6hajBcvgx061YZCr16Ad27A/b2TXNMhgURQSM02Je+Dx+f+Bipt1Pxcp+X\nEdYrDG3kbQxvTM3q3j3g1Cn9yefr17VBUHWOITAQsLVtvjoYFkQtWImqBJtPb0bUiSjYtrLF6/1f\nx/ig8bBt1YytDtVKCODmTeD0aW04VATDzZvaoaOqQ0lduwLWRp4yYlgQtUDZhdlYeXIlVsWvQi+v\nXnit32sY6jcUMplM6tJahLw87cTz2bPaM5EqfgKVPYaKXkPnzkCrVtLWC/CiPKIW5fzt8/jkxCf4\n7tx3eL7r8zg4/SC6uXeTuiyLVVqqvX6hIhAqQiEnRzu/0L07EBQEjBmj/dm2LWDOec2eBZEZE0Ig\nNiMWH5/4GCezTmJ+yHy82PtFeCg8pC7NYqjVwJUr+r2Es2e1r3XqpA2CoKDKcPDzA6zM7E4oHIYi\nslDl6nJsS9mGqBNRKCovwmv9X8PUR6bypn4PQAjgzz/1A+HsWSA1FXB31w+E7t2BgADAzk7qqpsG\nw4LIwuQU5WDdqXX4/PfPEeAagNf7v44RnUfwpn6NdO8ekJJSs7fQqlVlIFSEQrduhi9qM3cMCyIz\nV1BWgKNXj+JQxiEcvHIQaTlpGNNlDF7r9xp6evaUujyTV1Ki7RlUn2y+d097Omr13oJHCx29Y1gQ\nmZkSVQlOXD+Bg1cO4mDGQSTfSEaIVwiG+g3FUL+h6OPdh6e+ViMEkJ2tvaL5woXKn+fPA1evAv7+\n+oEQFAT4+JjfvEJzYlgQmbhydTlOZp3UhsOVg4jLjEP3tt0x1FcbDgPaD+A8xH8VFQHp6fqBUPFT\nJgMefli7BAToP27Oi9ksBcOCyMSoNWok3UjCwSsHcSjjEH699iv8Xfx1PYdBHQbByc7CB8jroVYD\n167VDIO0NODWLe3ZRxVhUPWnm5vUlZs3hgWRxIQQSMlOwaErh3Aw4yAOZxyGp6MnhvoOxRC/IXjc\n53G4OrhKXabR5eTU3kO4dEl75lFtgeDjYxoXsFkihgWRkQkhcOnuJd2w0qGMQ3C0dcQQ3yEY6qcN\niIeUD0ldplGUlNQ9bKRW1wyDhx/Wzi/cz11T6cEwLIiM4Hrudd2E9KErh6ARGt2w0hDfIfBp7SN1\nic2mvFx747tLl2qGwp9/ai9Qq62X4OFh3lczWxqGBVEzuFlwE7EZsbqAyC3JxRC/Ibqhpc4unS3m\nPkxqNZCVpb1aOSND+7Pq4z//BDw9gY4da04w+/oa/4Z4dH8YFkRN4G7xXRy+elg3tJSZn4nHfR7X\nDS0FegSa7UVxFXdDrR4CFT+vXwdcXbU9BF9f7c+qj9u149lGloBhQdQIGqFBVn4W0nLSkJaThvO3\nz+PotaO4mHMRA9oP0A0t9XyoJ1pZmcdMqxDayeTaegUZGdrrEJTKysa/eiD4+DTdF+yQ6WJYEFUj\nhEBOcQ7SctJwMeeiNhjuaMMh/U46nOycEOAagACXAAS4BmBA+wHo7d3bpC+Ey82tvVdQ8djaWj8I\nqgaCj482LKhlY1hQi1VQVlAZBjlpuHin8rFGaPCw28MIcA1AZ5fO2nBwDYC/i7/JXeNQXq6dF8jM\n1M4dZGZqewNVg6GsrObwUNWfrVtL+iuQGWBYkEUrVZXi8t3LNcIgLScN90ruobNrZ70wqAgHNwc3\nySeghQDu3NE2/lWDoPrju3e1Zw55e2sXLy+gQwf9QHB15ZlF9GAYFmT21Bo1ruVeqxEGF+9cRGZe\nJjo4d6gRBgGuAfB28pZs0rm4uO7Gv+JxVhYgl1eGQEUQVH/s4cEL0aj5MSzILKg0KtwqvIX0O+k1\nho0u370Mdwf3GmEQ4BoA39a+sGllY7Q61WrtDesqGv66gqCwsPaGv+pjLy/AwcFopRPVi2FBktAI\nDe4W38Wtwlu4VXgL2UXZlY8Ls3GrqMrjwlvILc2Fq9wVnVw66U0ud3btDH8XfzjYNF+rqlIBt29r\nl+zsyqXieVZWZQjcvKkd/68vBLy9OSxE5odhQU1CCIHc0lxd4141AGpr/HOKc+Bo6wgPhQc8FB5w\nV7jDw6HK44rXHbSPXeQuTXYqalFRzQa/+uOqz/PyABcX7f2I3Ny0PysWNzdtCFQEgacnrykgy8Sw\noFoJIVBYXlhr419bTyC7KBt2rez0G3uH2ht+D4UH3BzcmmR4SKPRnhZaWyNfVwCo1fqNffXGv/rz\nNm04J0BkMWFx584dzJ49G7/88gvc3Nzw/vvvY+LEiTXWs9SwEEKgVF2KgrIC5Jfmo6CsQPu4LF/v\ntYrnutfKa18/tyQXAgJtFW3rbPD1HivcYW99f1dmaTRAfr620a+65OXVfK16AOTkaMf1G9P4K5Uc\nAiJqrIa0nWZx55aXXnoJ9vb2uHXrFk6dOoWRI0ciODgY3bp1k7o0PRqhQamqFCWqEpSqS1GqKkWx\nqrjWBr3WRr+e96xkVlDaKuFo6wilrVL72M6x5mu2jnB1dkXWmSwMGzBM7/2K9Z3snKCwURg8fbS8\nXNuoZ10z3NDX9XphofYuok5OgLOz/lL1NU9PYNAg/cbf1RWws3vwf5fY2FiEhoY++I4sAD+LSvws\nGsfkw6KwsBA7d+5ESkoKHBwcMHDgQIwZMwabNm3C+++/X2P9izkXdQ111Z8lqpIar9X73n8fV234\nDW2j0qhg18oOdtZ2sLe2h10rO8ht5DUbeJvKhttD4YGObTrW3fj/97X6riBWqbSna1ZdPkmIQIeg\nCSguBgpKgOwq7xUVNayhLyurbNDrauxdXLTn+tcWAM7OgKOj9MM8bBQq8bOoxM+icUw+LNLS0mBt\nbQ1/f3/da8HBwYiNja11/RFbRsDO2k7XaFdvvHWvVXlsb22PNvI2NbapeK/qa7ZWdrCxsoO1zA42\nMntYQ/vYGnawEjYQQga1GrqlrKyykS4pqdKg51c+zi8GbhXXsV49S8V6Go32nP2qy717QHJyzdfl\ncu3QjrOzduK2a9e6/+JXKDikQ0RaJh8WBQUFcHLSvwWDo6Mj8vPza12/07/S9RrrcjVQogbuVHmt\nrkWjadg6Mpn2r+W6Fiuryse2ttoG2t6+9oa76uLkBLRta3i96vuysanZqEdEaBcioiYhTFxiYqJw\ncHDQe+3DDz8Uo0ePrrFup06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"text": [ "<matplotlib.figure.Figure at 0x8fc79b0>" ] } ], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "# restore defaults\n", "rcParams['xtick.major.pad'] = 3\n", "rcParams['ytick.major.pad'] = 3" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unfortunately, when saving figures the labels are sometimes clipped, and it can be necessary to adjust the positions of axes a little bit. This can be done using `subplots_adjust`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, exp(x))\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "ax.set_title(\"title\")\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "\n", "fig.subplots_adjust(left=0.15, right=.9, bottom=0.1, top=0.9);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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XOFd5Dt8+863UpbSJUS3+119/HVlZWeauhYjIYp2+fhpzd83Fl+O+hIuji9TltIlRwa/R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\nHOja9VaoN15CQw3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"text": [ "<matplotlib.figure.Figure at 0x9a06860>" ] } ], "prompt_number": 34 }, { "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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vKqmkaia+qi6X/pyisdG4jqhhsbFx1p+joqKJioomLKzied5SUioekKyF9c+d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\nr470ctzrJQ81FJUUcTzzuKV2/V3HDl8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"text": [ "<matplotlib.figure.Figure at 0x8fd0278>" ] } ], "prompt_number": 35 }, { "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": [ "<matplotlib.figure.Figure at 0x9fa3f60>" ] } ], "prompt_number": 36 }, { "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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cuAoVgKlTWQTeEhwOrgFt3Qo0asRhZhAEuWChqUsR8bu8PKBrVwa58HCeQGCZ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\nIVsEOoC7W0NCgM8/B9avB+66izsZL7/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"text": [ "<matplotlib.figure.Figure at 0x9cb69b0>" ] } ], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "# axes where x and y are zero\n", "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": [ "<matplotlib.figure.Figure at 0x973ec50>" ] } ], "prompt_number": 38 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Other 2D Plot Syles" ] }, { "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])\n", "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": "display_data", "png": 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VHBwclPLlyyvPPPOM8vXXX5v3G41G5dNPP1V8fHwUjUajeHh4KP7+/sqPP/6Y757+PcuM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\nypUrm4+ZNWsqgYFdOHPmDI0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SJpGR8R16vTeKMoGcnJXk5m7HYHiPWbO+pGPHtqjVg4AM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\nWSyvByykpj6CxRICXLmZrwm+vjcREhLC008/Tf/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RxcbGFnu9cefOnfnwww/p1KkTRqOx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\nj5ACuQxuiIL5zjvbk5IyB4tlHpCNTvclnTo96eluiWqqmsygI4QQwk1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"text": [ "<matplotlib.figure.Figure at 0x7073ef0>" ] } ], "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\nXAHeew9wcFBt8yIsLIAvv9S+FwQ0D6+PHz/OvYAqKyuxatUqzv3o9OnTcHBw4KxBzp8/32RasCVL\nlmDZsmW8zzZv3iz4Jff7778LdnaNiIgQtOUjk8lga2ur17CVRlO+gIAADB8+3FiXbxSxyVjWr1/P\nu8G1tcBnnwGWlnzFa9cO+Pe/AdWoFVlZWYIXBgCgtBT45hvA3p5/jWnTFIs4QkhJSRG0v9W/f38u\nAHBFRUWTEcjefPNNnhOrqTN8+HC9BqUymvJ98sknomMuagvDMEhMTBRc78SJE82+dloaMGQIXyHa\ntAG++kqhMKrcv38fiYmJzQoim5EBTJjAv97EiYoXgLZUVFRg586dWhmH5+bmok2bNrh//77a8/n5\n+QgMDIREIoFcLsfZs2fh6Ogo2sDaGHzwwQei4sZqi9GUb8yYMYJCsbMsKzjbaV5enlEikl27Bnh4\n8BVh/HjgwQP15WUymU7ccS5cuIhPP+Vf9403hLVx48aNJoeBUqkU48ePV7sgoZzDFxQUYMyYMXB2\ndoaTkxOGDBmiMUHJkydPBN/b+Ph4wbE+hXrA7NixA7NnzxZURwhGUT6GYeDg4CBoKTknJwfBwcF6\nlEo8ly5d4pbNw8IUPZzy4be2Br7/Xv12AMMw+Oabb3Qmh3KItGoVXwE1hcT5+eef4efnBxsbGyxa\ntIh3LiIiQm14DYZhMHfuXEyZMkXtXPHEiRNqffAao7CwENeuXRNUJz09XXD4i5s3bwqaX/755596\njVptFOVLTk6Gh4eHMS7dKAzDiPIPVCbdDA0FWreue+hdXYGmOt76D3h4eLgoXzRVWBZ4/XW+HOp2\nW4KCghAcHIxZs2Y1cGS+d+9eg56FZVksWrQIzz33nOgklS0JfS+6GEX5AgICMGvWLL1eQy6X44rA\ndffKykrRqciuXOH3eJ06ARoikTeKTCbTyeayRKKQQSlPY+scn3zySYOeTx3vvvsuhg0bZpCweqbC\nsGHD9LboYhTbztu3b9OgQYME1dE2X7qSiooKXiAdbbC1teXlNNeW1FSiadOIlLbTXboQXb5M1K2b\n+vJlZWUaDXetrKzI1dVV0PUlEglFR0dztp0Mw1DbtiytW1dXZts2Ik0eWLa2thrbLikpIalUSunp\n6bRjxw66ffs2eXp6koODAzk4OFBgYGCDOgDo4sWLgr9DRESEoDp//PEHFRYWCqpz5MgRQeW9vb3p\n9u3bgurH4sQnAAAgAElEQVRoi1GULzMzs8mIUvW5ceOGoPLOzs7k7+8vqI5QWJal77//mf7xD6KS\nEsVnHh5E4eFEHTtqrieTyWjIkCFNtr9r1y7Kyclp8DkA3oNqYWFBbdu25Y4LCgpo165dNGcOUadO\nis+KiohU3QmTk5Pp2LFjXH1NZGdnU3R0NHXq1IlYlqWqqioualhFRQW9+uqrDeqI8Saws7MjZ2dn\nQXW6d+8uOPJcv379BJXv06cPZWZmCqqjNXrpT5tgxIgRRg2sqo7a2lrBacUYhsFrrxVzQzsbG0CX\nK+kymUztAgHDMIiKitJq8UCx+nkBRHfw8cfq2/7yyy+1Gnb+L7Jv3z695XE3Ss9XXFxMHRvrGnSA\nUH8zADRmzBhBdcLCLOnQoXbc8S+/EDXVoam6AjWFlZUV14PIZDJKS0sjIkUsz1GjRmnVu4weTUQ0\nlog86fZt4mJhqratz7igLR1vb2+1ow9dYBTly87O5oVYaIqMjAwqLy8XdA17e3tB5W1sbMjHx0fr\n8uXlRG+/Xed39sorRG++2XS99evXC5JLyeeff07p6emNllEXw6VLFyKiVkTkQk+elNJPP/3EnWMY\nhgvHwDAM1dbWEsMwatsW41x69OhRQeVTUlIETy8OHjwoqPzNmzd5QXabwsvLq8nfXTR66U8bQSKR\noE2bNoL2WyIiIpodflzXLF9eA6K1IFJsqGsrnj5Dv6tblbt/v27Fs0sX4MKFC7h69SoAYOXKlbCw\nsOD9aUoIGRsbK9jFSmhMVYlEInizXei2TFFRkaDV5KKiIjg6Ogq6hrYYXPlSU1Ph6elp6Ms2yfbt\n27Uu+/ixcj+PaXQTWxcUFBTwHnqhYQcvXQKI8kEE+PvrQ8K/NyzLwsbGRi+Zhg0+7MzJyaEuirGQ\n3njw4AHdv39fUJ0pU6ZoXXbtWiKplIjIkp55hui117SrVz+UoDacOHGCF1aBZVlBw7mrV1kiUiyv\nGyjszd8KCwsL8vLy0su8r1Hl++WXX8jf35/atGlDb7zxBu9ccHAw9e3blxwdHalv374N4jeuWLGC\n3NzcyM3NjT7//HPu8+zsbAJA3t7eNGDAAEpNTW1SyMTERCHfiaytrcnR0VFQHW3ne1lZRIp8GoqF\nk7VriSy1eIWxLCsq6NC7777LW05v1aoVvf/++2rL1p/zMQzRwYOWRPQBERE991zduejoaMrOzhYk\ni9D5VVlZGQUHBwuqc+DAAUHl4+PjBT8f+/fvF1Te1ta2wW9VXFxMM2fOJHt7e/L19eXtd3711Vfk\n6upK06dPbzy8ZWPdotL8aOnSpbyl6Ly8PNja2nJx7c+cOQNbW1tuXrZt2zb07NkTWVlZyMrKQp8+\nfTiv8J07d8LV1RVFRUWIjo7Wahn32LFjIjt23fOvfynnUN9i+HCFKZexKC0t5c15VOd8iYmJ+OGH\nOm94Bwe+N0VBQQGysrIEXS81NVXQnJVhGMGJbx5osj7XQElJieBIBfVDyzfFuHHjGqQyeOWVV/DK\nK6+gsrISV65cgZOTE+7cuYP79+9j6tSpkMvlWLt2LXbu3Kmx3Ubf2TNnzqQZM2Y0sLh48OAB2dvb\n0+TJk4mI6MUXXyQ7Ozt6+PAh92ZZvnw5eXt7k7e3Ny1fvpxLvySXy0kmkxHDMMQwjFbL3LNnz26y\nTHMoKSnRKkqxTEa0d6/y6Ev69FMifa7SR0VFNXrezs6ON7weO3Ys9//dux/Rp5+25o7/+U8iJ6e6\num5ubuTt7S1Inm7dugnalrC0tKTOnTsLukbXrl0FlXd2diYXFxdBdYROe+zt7XnpyiorKykoKIi+\n+eYbsrW1pZEjR9KMGTPot99+IyLFtpVyBbmx30sr8wDUC+U2YMAAsrKyotOnT9MLL7xAoaGh1KZN\nG+rfvz8REd29e5cGDBjAle/fvz/duXOHiBTKN3LkSPL39yd3d3e9hOY+f/48jRkzhlq3bt10YVL8\nuBMmTGiy3O+/E+XmKv7v5aUwKdOWJ0+ekIeHh9YyEVGTEbmtrKxo6tSpJJUS3bunsLJ59IgoMJDo\nwoW6SNKDBhGpjPzN/EVGBlFkpOL36d2bSJOxjJWVFU/5UlJSyMrKirqp2A8OGDCAIiMjqUePHjRw\n4EDq1KkTjRgxQq35nRKtFlzqa6+dnR1t376d5s6dS23atKF58+bRtm3bOBMniURCTiqvWUdHR5JI\nJESkUL4ePXpQeno63bx5k/cFNPHnn39qIyaHi4uLoLwP1tbW5Obm1mS548fr/j9/vlTjzVLH9evX\nSapYpdEabV4IRESFhUQDBybRuHGr6M03M+nChbpzffoQnTlDpC5s6IEDBwTlMnjy5Ilg+0uh86vj\nx49zz4o2FBUVUWhoqCiZLlwgWriQqH9/IjVWchzFxcU85ZNIJA3WFBwcHKiiooKIiL799lvKzc2l\noKCgRu2LtVK++j1ffHw8vfPOOxQVFUUymYwuXbpEb731Fqck9vb2vE3xsrIybtObZVmSy+UUGRnJ\nWyBo7DglJUVQeT8/P4qKitK6vDbH589H0smTdccpKe8Jqu/m5kY3b97UmTyqxwqTyFgi2kpE14hI\nsQg0ZUokbdgQSUp7hvptFBcX8wygm7rmnTt3eFl4tZFRddNcm/Isy3IPrDbl4+LiOCN9bX8zpZVR\naGgkESnODxigubyzszPP+KD+802keMYdHBxIENpMOL/66ivegsuGDRswc+ZMXpmXXnoJP/zwAwCF\n7abqRHPXrl1cvJYff/zRoDnQtCErK6tJR13Fflmdu5C+F1rkcjkuX76sVVmWBQYOlKJv3/OYOZPB\n2rWANmsK+/bta6aUuufMmTN6TxWnjG4wcmTdPT19WnP5WbNm8Rb9JBIJWrdujVQVn7H58+fjX//6\nlyA5Gu351JkfyeVyGjBgAEVFRXGuFgkJCRQVFcXN+V5//XXatGkTZWdnU1ZWFm3atIkWLVpERIrx\nsxAzLjFERkZSZWWl1uXd3Nxo1KhRjZa5fLnu/5MmCV9oycvLEyRTq1atNOYkV0UxqSdKSLCmpKQJ\nFBRkSZ9/TtSpk3ozMVUWLlyotTxEii0ffbnXKPHw8CBLbfZu/oJhGEH2skREzz77LDEM0a1bdZ8N\nHqy5/MOHD3nbPcpUYl9//TVVVVXRlStXKDQ0lBYsWCBIjkZ7vsbMjzZs2IAuXbrA3t4eXbp0waZN\nm3h1P/vsM7i4uMDFxQUrVqzgPt++fTvefvttQW8IoXEaExMTdW6RMHFi3Vvy4EEI9uS+ceOGTvKu\nq1JUVIQff/xR7bm1a9fq3NtcmdNcCGICFgshISFBVGTp5OS6+9m+feNlX3zxxQbJPYuLi/HSSy/B\nzs4OnTp1QmBgoGAZDG5etnfvXrzyyiuC6hw/flxP0mgHyypCMShv1sOHwHfffWdUmdQhxOP6/v37\nogIQC6GmpsYk019fuHABgYF19/OFFxovP2HCBL3kaje4eZmHh4cgq3IiolmzZulJmjr++9//ajyX\nn69wRiUisrcn8vUl+uKLL/QuE5F6q5Li4mJBbagrf//+fZ1mTlKHjY0NLVmyRFCdkJAQPUlTh7W1\nNW8a4efXePm8vDy1ac2ai8GVz8vLq8Hqqa4pKChokMK4KebMmaPx3N27df/v00c7czJ1CDWDIiJ6\n5plneMcMw2g081LdZFfCsqza8tOmTRPkBS6TyWjPnj1alxeL0PWAqqoqwc/Ts88+S6o7JuPGNV4+\nPT1dkAuc1ui8L22CnJwcuLu7C6pz7949QZmJmhMISR0HDtQNUZQjZpZlBacdExPmXNeIdWmSSqWC\n42RqE3y3uaxbt07wd8rM5AcybuzRqq2thZWVlV6yCxu853N3d+eC8mhLQUGBoI1XsYGQNKFqU6tq\nkbV9+3ZB7bzwwgtkZ2cnSoaAgIAmLV5U96jUIZFIaMWKFaISTFpbW5OHh4egOoZIMLlixQpBJm/3\n79+nI0fSuOORI9UbICjJzc2l9u3bC1qB1RaDK1+rVq3IxcWF8vLytK4zevRorSxQmkN0dDTFxMSo\nPVdQUPd/5dDfwsKCli9frleZ+DIUUJFy4imSNm3a0MiRI3nBlrSBZVlRU4WlS5cKKn/58mVBz4UY\nLC0t6dq1umhtqp4e6hAadUGQLHpptQk6duwo2J1FKCdOnBBU3s/Pj9unrE9VVd3/BUanaEBBQUGT\nBtPqWLZsGWcIrWnUoG7OB4DOnj1LcrmcrKysaMaMGYKvffz4cUpOThZcTyienp7Url27pgv+BcMw\nnEmXtnTs2J3On6/rwf/yDdDIo0eP9PbiN4ryiXFOVDXN0obu3bsLelvb2Nho7BGU8TiJGg5RHj9+\nLEguNzc3rX0Nb9y4ofZ3unXrFp1XjQOoBtXv7uLi0mBxJTk5WetYqHPmzKHeAj1xk5KSBJUnIurR\no4cgw/PMzMwmf4f6nD+viL9DRNS5c+Ob60QKjxd9BfsymvI9evRIUB2hytq/f3/BUbmg2Pds8Llq\nTKH6Q/9Lly4JuoaFhQXP46MxLC0tydPTs8HnQ4cOpYkTJ3LHx44do6SkJG7OFxgYyLkaWVhY0NCh\nQxu00a1bN6pS7dKbkFkoQreTxODr60v/+Mc/BNXZvPk09/85c5q2VMrJydGbRZZRlK9bt26Ch17T\nhPjviOTo0aNqewPVDrH+WoXSbE4ocrm8SXMzPz8/rR78OXPm0NNPP80dv/rqq9SrV69G61hZWdHA\ngQMbLZOZmcm5ggmlsa0bdURHR9Nd1T0dPSCVEsXE1O3XaSPi3bt3BfsYaotRlM/f358KVFcx9ITQ\nkASzZ8+mHj16NPhcNZq6lp1Fk5SWlnIRo1W5efOm4D1KJermfNoQHh6uNpxHUVGRYGdYsXTt2lUr\n9zJVsrKyBJUPCSGqrFQEVvX1bXpznYjo6tWr5KdNQTHofPNCC0pLS2Fvby/Iej07O1twmDihIQk0\nsXp13b6QOsP1K1eu6CyTTX5+vl7DC6pDJpPpzAYzIyODy9qkT6RSKfbs2SOozvjxdffx3/9uunxh\nYSEcHBz0sscHGClitZOTE7Vv317QCpqdnZ1gsyoxw4WampoGe4qqQ351L9vOnTtTWVmZ4GspUfVe\ncHd3Fx1Buql9Pk1YWVnxQjHcunVLtBUSwzCCF2fEXMva2rpBUK/GSEkhiohQRHGztCR6++2m68TH\nx9OgQYP0ssdHZKRhJ5HC7V7I8MrR0bGBqZU+KCsrozNnzvA+U91YVxf9z9vbu1krYt988w3t3r1b\ndH1dsmPHDoqPjxf9AvD19RUcOW7dunWC3YKEsmMHEZEiScrUqURPPdV0nevXr9PgppZDm4Ne+lMt\n2LBhAz766CO9X0fp4NscVKM+e3lpLifWCVQulxt8qKmJ5sgixARQFXUZcBuDYRhBbmYVFYCLS909\n1NYD6dlnn8XBgwcFySYEo/V8/v7+FBcXJ6jO48ePBe8fvfXWW4LKq6Nr17r9vZycOg+H+uzcuZPy\n8/O1blc53GzVqhXX09y8eVPvhuf1AUC//vorsSzLk0UbZ14ljx8/FhyjU4nQNF9FRUWChvnbtxMp\nZyxduiicobUhIyNDf4stRMbr+UpLS2FrayuotygvL8e9e/f0KFUdl+rlcx48uO7NGRGhvo6QHqOs\nrAxbtmxp8Hl0dLSgcPCqNCeDqjqj6bVr10IqlYpusylYlhUc11MoVVWApydAtB1EgLZZAfS92AIY\nsedzcnIib29vio+P17qOg4NDk/tX6hBjSEzET+elmvpL0xalkHmSo6Mjffzxxw0+Hz58OLm7uxOR\n4g2v7Ua4UMrLy3kGAuqMpj///HOytrbWy/WJFK46GRkZemufiGjPHmW4x6nk46OIVqYNFy5cID8/\nP70tthAZccGFiGjGjBkNFjf0walTpwSbgT377LO8B081dV9TRi3x8fEUGxur9pyQYWl1dbWgFUwh\n+3wSiYS6d++uVVkAGuUOCwsTbc3i6+srOCdidHS01r9hTQ1RXUY2b/rsMyJtM4UfOnSIpk6dKkg2\nweitT9WCS5cuYdCgQYLqVFVV4cCBA3qSSDNPntQNO21sFJN4TbAsi+zsbLWfb926VbQMAQEBoodp\nLMti9erVohaF5HK5xnAQJSUlouQRS3x8vNbD+3XrlPeMhYcHoG1YH4Zh4OnpKXhfWShGVT6ZTIZ2\n7dohIyNDUD2hOdyawzfffMP9v1+/OgU0RvoIlmV5c7Bff/2Vp+Tff/89b7P/p59+EpSLzlDU1tZi\n7969er1Gbq4iPwURC6LV+OUX7evGxMSgd+/e+hPuL4yqfADw2muv4aefftL7dViWxc2bNwXXU33Y\nv/66TvlefVW7+vv370dcXJzOI4lpupbY5X5tKSkpwe3bt7F7927RbdTW1iI3N1eHUjXk7bfr7lWv\nXnII2c14//338dlnn+lPuL8wuvIdO3YMkydPFlxPzPApJCREcB1Vbt2qu6G2tkBZWdN1njx5gpMn\nT5rMPl5zkclkCAkJ0XtIwPpoWh1WR0ICYGkpfF9PSbdu3bjsvfrE6MpXXl4OBwcHwfFQ/vOf/xj0\ngT537hxYFujbt+6m/pX17H+G5v7eLMvi7t27outrs+0hlQKDBinvkQTjxgkbdj9+/Bju7u56j5oN\nGHGrQYmDgwM988wzjWZzUcdXX30l2gRKDI6OjsQwcp5N4I4dilusjtjY2AbL6N9++62gjWuhiLXt\n1Iba2lpas2YN77PExEStHXKJFC5KqrkehKLNtsfGjUQJCcryN+jzz0sEXSM0NJSmTp0qKNGOaPSu\n3lrw66+/Gix/Q0FBAfbv3y+6flGRYrVT2fv98Yf6crdv327QU+i7p27OJrsYZDKZzqNwq0NbU7I7\nd4DWrevuzYYNwq/Vr18/nDp1SnhFEZiE8pWWlsLZ2Vnt8nxT9YRmVwWatzyenp6Ot96Scjd44kRx\n7Vy4cMEgizDNoaKiQlQo9vpUVVWJthRhWRYnTpxoslxtLTBkSJ3iDRkCQYssgELJvby8BNuaisXo\nw04ihbXL3LlzadeuXYLqtW7dWuNmdmM4K3JqiUIqldKkSTe4cBLnzxMpnTPi4uK09tDv3LlzgzRT\npkZNTU2T3u5KTp8+TQ8ePFB7LiAggEpKhA3/lFhYWGgVKmLFCiJlNjJra6KFC0MF5U8kIvr1119p\nyZIlgm1NRWMQFdeCW7duwdXV1WBvndLSUqSlpYmu/9prdW/ZESMU+RyKi4tFDS0zMjJ0sqGri2Hn\nrVu3BO+7AoohaJk2y796ICio7l4QARs3yhEfHy+ojbKyMjg7O4saSYnFJHo+IoV/X69evQRnGRWL\nra0t3VLNESWQ1auJrKwUCyrR0UQnThC1a9dO1CKQu7t7s2Ny6gqWZUXFqbSysmrgx1ejGvZNIHK5\nvMECjzoePSJS9amdMYPo//6vFZcwU1s2b95M48aNE5ynvlkYTM21ICAgABMmTBBc79y5c6Le1s1l\n8uR9ILoHogPo2BEQuFuikUOHDundtEnJnTt3cOTIEZ22+fPPP+P69evNzi7V1CiotBR4+um6Hs/X\nFygsFD63ZFkWffr0MfiClUkpX01NDdzd3QXnWSgvL2+WGZXYoW5xMeDiwvxlwgS8/75oEXiwLMvb\nZzp9+rTOFmeqqqp4WXj14TLDMIzeV3alUn7ORGtrICYGWL16teBrR0ZGonfv3gY3hDAp5QOAFStW\nYP78+Qa7ntLgWCi1tbUAgIAAgIgB0UUQAZGRupZQ0Tspr8eyLH744QeeclZVVQFQzPlYluUlBpXJ\nZPj++++5B6umpkZngaXUUb/HVsqtLSUlJQgLC2u0DMsCb73Fn+f99pvynHAFmj59On7++WfB9ZqL\nySlfeno6XFxcBGfEARQG14Z4e0kkEi4TL8sCU6fiL+Vj4eMDFBTo9/qqSS0ZhsHatWvBsiynfOvX\nr+d+h/rKqE/y8/MbJJFcs2aNIGuRnJycJkcxqtHkiIBVq0SJC0CRAatdu3Y6iz4nBJNTPgD46KOP\n8OGHHwquFx0drdPUYNry5Ak/RsjzzwN6dID+n2btWr7iLVigeAGePXtW1It31qxZWLdunR4kbRqT\nVL68vDw4OTnh4cOHBr3uyZMnG1XeJ0+eaDx35ozqQ/EffPmlYbZMjM3Dhw+1ykfOMEyjy/jXrl1r\ncl67cSNf8SZOBJRVxBhCx8bGwsfHx2Ajg/qYpPIBwNdff43XXnvNoNdkGEaj8S7Lsti+fXujb9cV\nK+qcN4mAffv0Jal6DL1aByjmdNos2shkMuzcuVPj+QhNgXH+or7iPfec9s6x6mBZFoMHD8Y2I1rH\nm6zylZeXo3379oJCxCmJi4trctKuD2QyYPLkugfEygpYvTpYsNmcWAylfHfv3jVYICuGAf75T77i\nPfssoEzwK3aV+9y5c+jWrZvBjDrUYbLKBwBbtmwR5esHiI8hqeS7776DXC5HQkKCoGFJWRnf471N\nmyqEhho21IK+SUxMbFZUs4KCAty/fx/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"text": [ "<matplotlib.figure.Figure at 0x7062208>" ] } ], "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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MYqWlpQgKCoJCoYC3tzeys7PN4mlpaXBzc4NSqURwcDBqaro/maLe4f+uBHTv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\nYII=\n", "text": [ "<matplotlib.figure.Figure at 0x9f78a20>" ] } ], "prompt_number": 41 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Text Annotations" ] }, { "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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"text": [ "<matplotlib.figure.Figure at 0x9f93748>" ] } ], "prompt_number": 42 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "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": "code", "collapsed": false, "input": [ "# subplots\n", "fig, ax = plt.subplots(2, 3)\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "<matplotlib.figure.Figure at 0x865bf98>" ] } ], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "# subplot2grid\n", "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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U1OtRDh06hPXr1+PKlSvIyMhAVlYWzGazt8J1ICX+lJQUFBQUYN68edBqtfji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\neVBLnP5uQvPgzl38eFdH/+L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"text": [ "<matplotlib.figure.Figure at 0xa3680f0>" ] } ], "prompt_number": 44 }, { "cell_type": "code", "collapsed": false, "input": [ "# gridspec\n", "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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"text": [ "<matplotlib.figure.Figure at 0xa373c88>" ] } ], "prompt_number": 46 }, { "cell_type": "code", "collapsed": false, "input": [ "# add_axes - Manually adding axes with `add_axes` is useful for adding insets to figures:\n", "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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4aCgwbZoom2+lwbGnClJg3fV1aLa2GWpY1EDoZ6GcjJhW2rgR2LRJzAFWpUrx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\nBhk+dv0YH7t+DHd7d8h4fpQKiRMS0yr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"text": [ "<matplotlib.figure.Figure at 0xadc5908>" ] } ], "prompt_number": 47 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Colormap and Contours" ] }, { "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)\n", "\n", "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": 48 }, { "cell_type": "code", "collapsed": false, "input": [ "# pcolor\n", "fig, ax = plt.subplots()\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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0kLo+P7ZD1rwMSOPx+kZGCo6rm8Zb0DFPbKZmWtxgFTUMUlntw6KGRjEVYUS6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\nEXzgAx/A0NAQhoaGcPnll7d94w4ODg7dQr0atfRj9Pf3Y8u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"text": [ "<matplotlib.figure.Figure at 0x9d278d0>" ] } ], "prompt_number": 49 }, { "cell_type": "code", "collapsed": false, "input": [ "# imshow\n", "ig, ax = plt.subplots()\n", "im = ax.imshow(Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n", "im.set_interpolation('bilinear')\n", "cb = fig.colorbar(im, ax=ax)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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z3ctsYvp9lv7MHcDOopGHmZCDvoEX61998RsRWFDuaI5qf0J8tq0mG/FoSnoQ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\nP9PL0Gd3mG6dWQp0JnWcCuXTYnxDt6biyJhs0/MX/j5us2u1c+M9TO8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jcUnbvLTx1PUT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\nYxFrJxRXYAWHnIjJnwFRswCXTctu/u5zo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"text": [ "<matplotlib.figure.Figure at 0xb3f3630>" ] } ], "prompt_number": 50 }, { "cell_type": "code", "collapsed": false, "input": [ "# contour\n", "fig, ax = plt.subplots()\n", "cnt = ax.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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tSJe35EO/VF4hkVOoD9mvi2OFdFHjdCJPf6bIYFZhKKeQUTQ8Dhmf24HX6WBY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07gEYhIVO05jQDojEDIxzQ3TVY+ZFcPU5+h8J44Bcs0+pwMlfhRhT6NySi7DIEzX8Y9jux2QJPJ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\n", "text": [ "<matplotlib.figure.Figure at 0xa69bb70>" ] } ], "prompt_number": 51 }, { "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": 52 }, { "cell_type": "code", "collapsed": false, "input": [ "# surface plots\n", "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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Ud9yxF7t2jbiPCzLEJPNWKBSQSCRCdaTbNeKUgszlctB1HclksisDZiaCoNIZ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\n0ykpIpRIZe2KzqhGrKXxAWT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WZ84U8fbb/V1jHqRa1SvnoFewUdx6zoBhGLj33nsxd+5c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WPDX5moFOHS1vvfVWNBoNfO5zn8O3vvUt1Ot13H777SPC6zyOsYnhzEFkCPT09MDziueGME4J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\nPhhITzFNEz0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DN0ijB5wnvxEGAuUUa6sTiNNwKB3HDw24PhBGgG0Z4Bx43R+tghQCgnHI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"text": [ "<matplotlib.figure.Figure at 0xc502c88>" ] } ], "prompt_number": 53 }, { "cell_type": "code", "collapsed": false, "input": [ "# wire-frame plot\n", "fig = plt.figure(figsize=(8,6))\n", "ax = fig.add_subplot(1, 1, 1, projection='3d')\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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\nPVQ2bZKo5jBUrVGVnq6HgiW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TDX7+WaRFC53x4yuX/GP1mwVwu9010m+2rmMYAvPmeZBl\nmDPHh6IIeL3g8wn066dEdStav17g3HODkfZpsc/G+vVmwk8iJk8O8fbbMl9+KbJhg8Rpp+lJWzJe\nconCvHnxbtktWyS++UZk5EglMtbLzoUXalF9ZLt311i1qvLfb2UtrkQimqxBeqIOUPXRwoRoT01l\nzqWoqIjJkyfz6KOPplwHBUFgy5YtNG7cmFNOOYUHHngg0uWouqkXghn7xVVFMO2TRKwfUaaTS1Kd\nX0GBwPnnq1GZoC1aeHnvPYXVq0Ueekjio48Ejj/e4MgjU2fR3nSTxrPPSqgqfPWVwI4dAsOGlb3n\njDMMGjQw2LRJjiwE1kZhwIAg773ni6rlPOMMA5fLoFs3s1uQLJuZtm+9JfHmmwqGAbm5Gps3i1FJ\nQ+ncD3u/WasTT6YWh0PZUlizRiIQgFNP1fjyS4kmTQyOPtpg3ToXgwYZkQUffGzfLnPWWWa/0WAw\nGNetaP16kU6dEi88DRqYjQ2mTHGzcqXMhRcm7zPbpYvG/v0CO3ZE/y6eftrN9deHGTAgeqxX2ftU\nPvrIvB6A7t1VVq8ui2tWlW3bRO69181pp/lo2jSHE0/MZvRoL2+9JcdtCmNJ1CDdLqL2jYmVmVvX\n2yhmkkQCWVHRvOeee7j66qtp1qxZyvd16dKFL7/8kl9++YUFCxYwZ84cHnrooUqfe0WoF4Jpp7Ku\nOPvIq9hJIpn6QZT3cCmKwurVOu3bB+LmYx5xBMyfr/DMMxLPPitx0UV6ued29tkGzZubzQ2ee05i\n7Nj4eZmXXKLzxhuuyPVbG4UuXbIoLhbYvt0e/zObvQuCwbx5pmU6fLjGggUizZpB+/YaX3xh9jcd\nPz69xBxFUaq136yVHHKo8vjjZleeHTskmjY1aNNG5+STzSkyLVqUffdbt7o47TSdhg09keYd9m5F\ne/Zof3RsKk7arWjcOIXPP5d4+22Ziy5KLpiSBCNGqMybVyaKP/0ksmyZizFjFM4+22yHt3t39H3P\ny4MzzigrJznuOHMSTlUTxYqK4C9/8XDxxVnMn+8iOxsmTgzx+ONBBgxQefRRN0OHZvHrrxV7DpKJ\naG31Iq5tC9OOrusVMiS2bt3KypUrueWWW4DUm9jjjz+e4447DoDWrVtz7733Mn/+/KqdcJo4glkO\nVhG8fZqGPbkk0w9oovOz2ukVF5fy0UduLrzQk9AVecwxMHu2woIFIqedVr5ggjkHc9o0iddfF7ny\nynjrYsQIlUWLXJSWKpEGEGbzARg6VGPhwuhHaOhQnXXrRPLzDTZuFLjggrIylL/8JYzHY9YGrl0r\n8Ouvyc/L3kLQ5/NFNcfPxCblUIxhxnLwIKxda25MrLUpGARdF+jXL1rQNmyQIsOjIb5b0ZYt2XTs\nqJGdXVYqoChKVNG6KIa59tog+/YJnHVWapNs5EiFN95wRazDV1/N4uKLFRo2NM+1d+/Ew6J79Ih2\ny3brZlqZFSUUgmnTsjj77AYce2wOc+a4CIVg1CiFjRv93HqrQv/+Gn37qtx0k1ne0rWrL2nNabpY\nImFv6J/MEj1UGvqnQ6xYFxcXk5OTk/b7CwoK+O6772jRogVNmzblkUceYcGCBbRr1y7tz68J6oVg\nViYLMrYIPtnor0wvvPbjxXas2bu3AUceadC0aXKRPu00A1GEl14q380Epst0+3aBU04xaNGi7O8t\nt11+/kFOOklj3brsuCzUIUP0OME8+2yDcFiga1ez9ESSzNe9+aZE794asmxem88Hf/lL/IJpuV/t\nXXoy6X6ti1T2+XnjDdNK13W49dYQggCffy6xfbsYVU4CZoasXTBj2bBB4vzztahSAXvLP6to3edT\ncLsNCgrCKXuQnnGGjtsNn3wioqrw2ms+xo4tq7vs00dLWK/Zo0e0QHbrZg6Zrgiffipy0knZ/OMf\nPn76SaRnT5XsbAOv17zO334T+P57gdGjvZx+eg7z5rlo0UKnSROdsWOzyHQ4rCLu3KqIaG1nydo/\nu6KTSq699lp2797Ntm3b2Lp1K9dffz39+/dn2bJlca9dunQp+/+oiduxYwcPPPAAQ4YMqfpFpEG9\nEEw76QicVaIRCoXKHf1VHZaKJVaxHWs2bBDp1Cn1Z61fL3L++QahELzySvmNAlwuyM838PnKXmdd\nv5WFesklGgsWxA8A7tjR4Oefhaj+oYIAgwaZ9XlvvimiaWVuWZcLBg8OU1hoLvKLFolYdc32+Kg1\nm7QqGcfpYG1I7LE8XdfrzOSR8njhBXMSzFFHGYDAeedpNGhgoOvQpk3ZNeg6fPSRRPv2yZXgww8T\nC2psvd2GDT4GDlSZPj0vrgepvdGCrmsMG6bw5psuli2TadZMi+pf27WrGa/8I4crwlln6ezbJ0bK\nUrp00diwQUraPSiWefNkevTw8ac/6TRqpPPoo6U0bWpw0UUaX31VSseOGh07+rjgAh9nnaXz3/+W\nMLKfIIAAACAASURBVH9+gCeeCLF8eQBNg0cfTTE8Ng3SWQ9qSkRri4q2xcvKyqJJkyY0adKEo446\nipycHLKysmjUqBF79uwhNzeXvXv3ArBq1SrOPPNMcnJy6N+/P8OHD+fOO++srkuJol4IZroWpt0N\nmJWVlVYWZnUIpr1kwh6n3LBB5PzzUy/mH3wg0L27znPPqUydmp2yBR7A3r1w8KDAJ5+IFBaajRes\nVnrW9Q8dqrJihYvS0uj3SpJpocZamQMH6mzYINKsmTlerHNn0y373XcCY8YEcbnM1+g6TJkiRY1c\ns486S0ZV77m9HAjA6/VGdSwxDCOqd2Z1jkKq7IZg+3Yx0vf15ZcDLF4s06CBwZFHGvTtW9YwH2DH\nDpFGjQyaNEl8DQcPmjWbbdumfrZ0HQoKJCZODPP55xI7dnhSTsPo27eIN9+UeOklkcsu80fdx7w8\nOOccjTVror9nWYbOnc3ZnQCNGhm0bKnz6aflL1WLF0tcd52X665TAIHx4wM0amRQUCDzn/8EkSSz\nraSuQ4sWBjffHCY7O/qzn3oqyJNPuti5s2obtcp8r6lEFChXROuShVnV4dGTJ09m1qxZALRo0YLi\n4mKaN28OwEMPPcRPP/1ESUkJu3bt4r777qv28YAW9UIw7SRabO2TROxxunQevkwJpiUauq4nLZn4\n8EPTekzF6tUi3bqZo7yuvDLA5Mmpd8vz5kkMG6bRsaPKq68qkTitvfHCkUfCOeeoLF0a/7gMGqTx\nzjvRf9+pk8H33wtcdJHOggWmW3bAAJ133nFx9tkK2dlmkXxuLjz1lMTBg0U11qXHGphtGEZksbdb\nUNZ12/u91tY8wVTMmSMTDgvk5JjJPXv3mq3qDhwQ4tyxS5ZIHHeczqJFMh99VGbVW2zeLHHWWRrl\n3frPPxfJz4eTTjK48cZwlCWWqFvR2Wd78Plg/Xo3AwYE47oV9egRZtmy+BmwsW3xunXTWL069cZ1\n82aRMWOyGDlSIRSCY4/VueoqP3fc4eOxx4Lk5MDEiR5Wr5bZvNlP8+Y6//hH/G+jRQuD224Lc/fd\nmR3UUFkSTcVJJqKapqGqaq1YorGfdTj2kYV6JJiJknTs5QpQuW4xVRVMe5cgWZYjf2LPYe9ec6Dz\nSScl/6zffjOF6OyzzdfcfHOAdeskNm5MfD2GYTB3rsCAAUWMGRNgzpychFmogiAwaFCQN9+Mf1y6\ndjXYuTN65JcsQ9++Ol6vwaJFZgxr6FCNt9+WEQQYM0Zj61aBO+8sIhCAJUsaVvu4L3sLPUsMU7nZ\ny2tVZ3XZqY0pGZoGM2e60HWYNCnMkiXyH3MuZX79VaBzZw1VhZdectG5s4+pUz3s2ycwb57Mrbd6\nadWqMddd54tkn27cKNGhQ/mBu4ICie7dTTG+8kqFFSvklJ14BMGsGT72WJ3sbCOuW1GPHkHef1+m\npCT6PnbtqkSVk3TtqsZZonZ+/VVg+PAsTjxRZ+BAU1ynTw/y7LM+WrfW6NFD49lnXaxbJ/HOO34a\nNzaYNi3E7NkutmyJf6avu07hq6/ElJNaUlHdll6i+az2323skPOacudWJYZ5qFBvBNPCaqtW0Uki\nqY5XmYfQilNazQ/sXYISHW/TJpEOHfS4Lix21q8X6dDBiFgKOTlmwflf/xqfAKSqKlu2+Pn5Z+jR\nw83gwR5+/FHks88Sf0DfviFWrBDjYk4ul9kAYfHi6Hs3aJDOunUSjRoZtGvn4osvRL7+WuSHH2DY\nsKI/sjq95OfDpEkVixlV5J5byVv2TVFl2xYm6rKTaEpGdS9SH3wgUVxsnv911yksWSLTtq2GJBlc\ndJHK55+LdO7sY/58mX/+M8QxxxjMmhXktdeCrFvnZ8uWX2jVSmfQoCzuu8/Nhx+mJ5irV8t062a+\nLj8fRoxQeOGF1Gbpnj0iv/4qoOvR/V3dbjdt2rgQRYG9e3Mj91HTNJo1MztnffFFmFAoRLt2QbZs\nkfD74++jpsHo0V5CIYHnnw8wcaKHJ54Iomnw3HM+7rsvwJo1Eg8/7GbOnACW0dOkicHkySFuv90T\nV+fp8cDtt4eYOrVqscyawoozC4IQyc61DzmH6hXRRO+vqku2rlJvBNNaIHVdR1XVSk0SyRSxSTV2\nsU62kG/cKNChQ+oHe80agQsuKFNGQRAYOVJB14lMHrFbWu+842P4cAOv14UkwRVXaMycGf9ICIJA\nw4Y6HToYSdyyOm+/XXYPf//dtIjXrhVQVSgshDlzBPx+mDIlm9NOk2jWzODll108+KDKr7/Cpk2Z\n35HbJ5gkus+ZKE1JJ+YU2yCgqp/75JNuVBVatdLw++Hjj01rzOMxE7guvjiLv/41zLvvBjj1VHMg\n+Kmnlj0X+fkGt94a4sMP/WzbJvHhhxInnphaMMNh2LRJonPnMnfv9deHmTnTFefitfjiC5FQCBo2\nNNi6NV5YBcFqul42PNrr9ZKTk02PHhrr1mX94R5XadVKoaBAiVvs//MfF998I3L99WGmTPHg8xm8\n8IKL4cN99OkTIi/PYNw4Ly+8EKRly+j7Pnq0SiAgsGiR6e79/Xd4/XWZG27wsmSJzCefSGzeXLEl\nsjbd9HbLNrZsqCZENNbCPNyGR0M9EkwrRmiNm8lUvKwiC286SUWpLMzzzkudlLF2rRgnmIJgMHmy\nxpQpEqWl0c3K337bzfDhZa8fPVrj9dclwkmmP1nZrrH06qWzcaPAjz/CffdJnHaamw0bRFq1MujU\nSaOoCNq0CSHL8NZbWYwencPo0Tq7dwv06mWWH1xzTeZa3Nk3BdbUmJpqoZdqkUpU26goSsI2dcko\nLibSX3XCBIX33zfb2VkNz1eulFmyJMDFF5uJPx99JHLOORqJnCeNGxvceWeII44wGD3al7Jw/+OP\nJU44QeeII8r+7qSTDM48U0/aN3bePBcjRyoMGqSyZEnimOBFF0XXXVp066axdq0rshnp1s1g06bs\nqMX+iy/CPPaYm2AQZs6U+eADmZEjw/TqpbJjh8iECSXcfruPSy5RI5axHVGEu+4K8c9/unn0URdn\nn53Nm2+a1vrIkSpDhyo89VTlrMy6WAZVXSKayAXtxDAPcfx+P7IsR7JOM/VApyOYsXHKVElFiY4X\nCsEXXwicc07yzzl4EHbtin+NYRh07x7C59N44w0h4n7+9luR334T6Nix7PUnnAAnn2zw3nuJa00H\nDdJZuTLeLZuTA+eco9Oli5uvvxb4+OMwr76qcu21YQ4c0Dj1VI0RI0S++iqAKBqsWCHywgtmg/bX\nX5e4+mqN//5X4NtvU97GlPfIutaqul+ro642UeKGvbbRyspNJ6nohRfMZgCCAMOHqyxZItOvn8qy\nZTKiCO+/76dVq7JN0KZNEuedl9x63LxZYtAglT59VAYNyqK4OPHrCgrK5mTaueaaMDNmxIuKrsOC\nBTIjRqgMGqSwZIk3YYu7Cy4wy0tiM7C7dNFYt06O1ER27aqxZo0rch+93iwmTmwImJb1MccY/POf\nxdx440F+/FGhZ88Qn30m89lnEnfemXwIQevWOt99J7JwoYvly/3MnRvk2msVhgxRefDBEKtWyezb\nV/fELxGViZ2mK6L28iu7iCb73IqWlRwq1BvBtOr6MtF83Y61wCZbwJPFKVMRe6wtW8zGAvZBwLFs\n3ChyzjlGVGs7S0D8/lLuvVfhkUdyMAzTOlm0SGLAAD3O8rjsMo1XX038WDRsCOedZ7BsWfS/f/WV\nwJYtZunCa6+pNGtmttHr2rWYggIPw4bBwoUumjQR6NEjzF13qQSD5iip558XufNOs+H7DTdU3gpM\n5X6ta9hrG82uSWLCsoxE8y+nTTPnXp58shnPXrVK5tdfwe+HW28N06xZ9LOzeXPq+svNm01Bveee\nMOeco3H99d6EDS/WrpXo0iW+HV6vXho//STw2WfR93rzZoncXIPTTtM580wdTTNdtLHk5UHbthrr\n1kWHRY4+2uDoo3W2bTPf0769xvbtYmS6zosvymzdKhEOCzz0UBBFERg7VsDjyebFF3MYOzbM3Xfn\n8dhjheh6aVSZkOUW//xzkZ49fQwerOD1GnEJdfn5MHy4wiuvpO+Jqkvt6SpLqk1erIiWlpYSCoWi\nQl3gWJiHDdVhQSQiVZyyosfbtEnkrLPKa1ggRGo0rYL8cDgcKRPp1UuiUaOyWObbb4sMHhy/kA4f\nrlNQIEa1rbPfsyFDtMgxAPbsgYEDXdx/v8p33wkUFZU1ST/ppFxOOcWgWTOzX62imMlDW7eKfP65\nWQP3/femK7ddO53Vq0WKisq9RVEkGiCdjvu1rrXGS5WZayXDbNum8Ntvwh/dk4KsXm2WTzz8sBtZ\nhssui67uVxTYutWcgZkIwyjLkBUEePhhc+j3v/8dbTEG/p+9846Oquy6+O+WmUkPvYNSROkdRGro\nvUeUDiI2VERB5bWgYqGIIioqIlV6LxJa6C0JoQgooNKkGRDSMzO3fH88zGQmmUkAAf3EvZbLRTK5\nc++dO895zjn77J0unEZ8CRsoijCNnj7dO6gsXqzSrZt2/dqgbdsMVq3y/bk0b66zcWP23zVpkqny\n43BAkSIGO3cK0/RXXw0gPNzklVccfPihjdGjRck/KkpoFW/cGECzZnYaNVKyZfQOh4ODBzPo0iWA\n0aNT+PTTZM6dk4mLy/7dGzBABMy7ZIbxl3Ang3VulRKX2MIbb7zBAw88wP79+5k+fTqrV6/mwoUL\nN/w+uZlHA3zyyScULVqU8PBwnnjiCRz+ekh3APdswLxTcna3In7g71gubNkiMXeuTJ8+ql8Wq3Ca\nMLzk/FzjE6KXCa+8ovPxxwqXLsFPPwn7rawICxMjIQsXZn80TNOkY0eD9evFLF9aGnTrZuGFF3QG\nDcqgTBknO3ZIXiLp7doZxMbKlCtnsmWLTIsWGWzaJBMcDDt3ige9TRurO8t87bUbC3aeTGf4awbS\n/1RkZea++WZeJEkEj8GDM1i2TOX336F0aY38+Q2KFMnwKpUdOSJTsqSBP+7F77+LLN9FhrHZYPbs\ndL791uJFdomJEXZe/ips/fo5WbIkU9jCMGDlSpVu3UQAN02TNm3s/PCD78+2RQvNbx9zyxaFU6ck\nIiKCCA+HrVtVuncPJDjY5PJlibFjrfz6q8zTTwfy7LMBTJ5soUsXJ7Nnq7z6aor7PnrO2qamBtOv\nXwHeestOt24aimLSv38qX38tu8viLsGKqlX16+IHd5cYeLP4OzZ/rvvq+i8wMJBx48axfv16ChQo\nAMBnn31G5cqVadGixQ0dMzfz6HXr1jF27Fiio6M5ffo0v/32G2+//fZtu6bccM8EzDsllu46pq7r\nbvGDv6KB6itgHjkis369k4cfNmnf3sKoUQp2e+bv7XY4eFCiQoVEd0nSUyHIhXbtDNLT4ZNPFJo3\nN7I5k7jQu7fO/PmZC4TnNRQuLGy8oqNlXnpJpVIlg4EDr5GWlkb79ibR0cFerOMOHQzWrFHo2lXo\nyebLZ1C1qsmcOTLTpimEhor50WHDVFQVZsyQefVVhRUr5Gx9LRdcwfL/Q/n1dkHXhcFzkSIGRYqY\nFCxoZdmyAJo00Tl/XqVVKxGcPEtlO3ca1Krl9MvM3btXlGs9H9EiRUwmTLDz1FOBpKWJn/krx7pQ\nvLhJ/fo6y5ap7uPmz+9d4qxTx8m5c0LDNSuqVDFITMStXORCgwYae/cqtG0bxJNPOhk7NoPlywV7\nNT1dok4dnfvuM1i6NJ3Y2FSCggz27lVYvFjlueecFC6cvbbsdEKvXoFERjrp3193B9FBgySiogJJ\nT88uWNG9eypz58o3JFjxd5dk/673dr2vLMuULl2ajIwMd/C8fPkyCxcuzPUYN2IePXPmTAYPHkyF\nChXIkycPb731FjNmzLidl5Ij/t2rjB/cznKcK1t1GRvfaJ/yRs/t0iVhT1S7tsnQoTpxcQ6OHZPo\n3NlyXZPVYOfODMqU0ShQwJsRmvVYsgwvvaTz/fcK7dr5Z9xGRJicOiV5eVZ6l2UNPvtMZts2eP/9\nK1gsYoPQubPEmjXe/oWVKol/VK5ssHq1wrFjoqT2/PMqU6Zkkj1OnxYjKIYherZff61QtaqV2bNl\nd0/NVX51Op0oinJX2a9/N775RggV6LpEixYan31mQdPgvffsXLsmMWCAnq1UFh9vpXZtJw6Hw4uZ\na5omui58SX0Rgrp00ahVS+edd4R+8I4dil9jaRf69nUyZ44oyy5frtK5s3eAVVUhuL5mTfbPS5ZF\nWdZT3QfEJkHXoVMnjaefdhISYnLhgkRoqEloqEnHjhp584pMtEgRk/BwoRK0f7/YWPjC2LFWQkNN\n3njDu4xXoIBJ8+Yay5bZspXFH33UZN06K0lJ/nvL/6Ty/t2Gr02CYRhe61A+T3q1D9yoefTRo0ep\nVq2a+99Vq1bl0qVLXL169S9cwY3jv4D5F+ASCzfNTKPe253pxMbK1K5tusk5hQvDwoUaDz5o0KyZ\nysmTScTEWGjQQLohRmi3bgaXL+PllZgVqgo9enhnmS6YpkmjRhls3Srz8ccpFC0a6t4gVKpkYpqC\nBOSCJInMNj5eJiAAOnbMT8uWOvnzw8KFTvLkEQtm3rymOzDu2CHz5ZdOvv9e+Hv26aOSlJRZfrXZ\nbD7VkG4GOT0D/8TFb8IEK/nymSQkSDz+uIOxY2107epk/XoLFovoAbvgKpXt22ehfn3ZvfC7SvQg\nnt3duyWqVvXNzB071s6iRSr79skcPJgz0xbEPOXx4zK//CKxalX2gAnQoYPmtyzbrJnGpk2Zz5uu\nw4ABgVSurBMaKp6NyMhAADp3dlK+vMHcuRZGjBAuLboOc+daSEuDV15xMHq0jd27LV7PyK5dCjNn\nWpgyJcOnAEivXk7mzvXuxUqSRNGi8vUee4jP3rKn6pPD4XBrFd9tabp/SjviVs7lRs2js853uohF\nyf7o3bcZ90zAvFEB9huBq0/pMlPOSWbtZpH13GJiJOrUyVwMRXbgYPToKzRtamfw4ALExtp8asz6\nus6YGIlixWDevJzPt2dPg/nzZXe26FKzSU5O5ttvZfLlMwkKCvS6bkmC9u11Vq/2fqxatdKZPFlB\nkkxatnTw4Yc6QUEwYICFhQud1K0rsgNXEDdNqF/fypYtEtWr68THmzRsGMS1a6L8eicXhn/KouOJ\nc+ckEhJECTIwEBYutGK1mgwZ4mTJEpVKlfRsAeDKFYnLlzMFCzxJReIaAzlxwkKdOrJPub+QkAxe\ney2d554LoGJFndysDa1WePRRYcZss+EllOBCRITG/v2KT8/JiAidbdtUtOtxdtw4K6YJo0Y52LZN\nYdQoG+fPy1StqrNli4UaNXRMU2StIMrGgYEmv/8uM2KEg6+/zuDZZ/Nw5Yq4Mamp8PTTAXz2WcZ1\nd5fsaNZM5+xZiePHsy+LXbtqLF+emTHlpPoEZFN9upvSiXcbvgLkzQTNmzGPDgkJIcmDGejaRN+t\nEZZ7JmB64lYDpj+R9ts5qpL13OLiRIYJ3oE6JCSY8eMViheHjRuFbF5uxwJYv16mZ09h/JyTWW7d\nuia6LrF/v+Tl7nHyZADLlgUyaJCRTXQdRDbpqQZkmrB0qSjDzpnjZMsWG3v3wuXLwrGkYUOTIUN0\nzp+X+P57J7Is/ubaNRg3TuHiRY2yZU0SEhSqVAnigw8UdP3uMJ3/KRg+3IYsw9mzMg88YLB2rerO\nKg8dUnxmczkJFoBgvT70kEFIiP+Fv1evVC5fhjx5tBsaYu/d28ny5RY6dHB6BXDXa4OCoHFjoeyT\nFYULm5QqZbBvn0x8vMy331qYOjWDBg10Dh5UmDLFQkAADBni5Px5iYMHFV54weF+n4ULLUgSvPyy\nMClv0UKnc+d0Ro4UggkTJlipVUunbVv/mbKqitlWlxCDacKJExLz5qmkp5ts2KBmm0F2waX6pKqq\ne0woODjYvUG509KJ/ySnkpvFzZhHV6pUiQMHDrj/ffDgQQoXLkzevHlv+f1vBvdMwPwrGabnPCVk\nZ2Tezp6o57FME+LjJWrW1NyB2mq1Eh4ejsViQZZh1CjtuvTdjWW469bJdO1q0LGjwfTpOVloQc+e\nOt9/b3Lt2jUkSSI4OJj33w/i5Zd1Hn9cyOFlvexGjUyOHpVISBD//vZbmX37hKLPr7/KlCyp06OH\nYMXGxIj716mTgWnCunUKb76pua/d6ZSIj7dRo4bknhn96COFJk1CuXbt9iwOLkuvf2ofyjRhwwaV\nmjV1jh2TSUgQ2ViHDhpff20hJQX6989uFhkb63+cxPV7X/OZnnJ/ISGBFCkCBw5YMYzc5f6qVDFw\nOAQJyNdxAdq21Vm71l9ZVmf9eiFN9+GHdooWFbPHkgShoSadOmlcviwjScKyrGlTjT17FPbulVm+\nXCUlRaJv30xm7ogRycTFKcyapTJ9uoUPPrD7fF9PdO/uZPFi8foqVYLp3DmIdetU9u1TKVLE9Dn+\n4oms8nQ3I52YVRDgZvBPenadTudNqajdjHl0v379mDZtGj/99BNXr17lvffeY+DAgbfz9HPEPRMw\nPXGjAc41s5WYmIjT6fQr0n67Z/pcx/rlFwgJMQkI8D86ceCATLNmBuPHK8THZ3cZ8TyvM2cgIUGo\nAT37rM5XXynuElhWaJp23c9QJTg4FFmWiYtTiY+XeeYZnQoVTKxWk4MHvd/TZoNmzQyiokSgfPdd\nlYULNTp1Epmnpok+7Msv6yQmCvPpkBCoW9dgzhyZMmXS3MeSZShaFAoWhKlTNY4fF7ObJ0/K1K4d\n5g7KtwLXrt81K+sqR6anp7uv/59QQlu5UnxG7doJTeD77jM5eVLi7FmJDz+0EhoKvvgUcXEKderk\nFDDVHAUNQLCvf/1VpkoVg1mzAnOV+zt8OAOLxWT/fvxuQNq00YiOVn3KLzZrpjF/voVixUwiI8WD\nuWaNQloaOBwSL73kYNEilcBAE02DWrVCGDXKxuDBAaiqyQsvOLyY30FB8P77dkaODODllx0ULZr7\nZxkUJLxBZ89WmTYtnaNHU5kxI4Nvvslg6FCHT9LSzeBGVXVcz+LN6A//UzLMO2ke3bp1a0aOHElE\nRAT3338/ZcuW5Z133rnt1+QP/wVMP3D161x9ypxE2m93hgnii7N9ewbVqztzHJ3Yu1emWTOTiRM1\n+vVTub7e+zyvTZtEcJVlqFHDpESJ7GLqnkIA1aqp5M0rERsrykoffWTh1Vc1AgLErr9TJ4MVK7Kf\nU9u2wr3k2WdVxo7VKFfOpE0bEUSTkyXOn5f4/XdRvl2zRsYwhHfhmTMSI0eG8sorYrF0OCAoyGTc\nOIUTJySKFIH5852Eh5vYbCbVq1u5FXKcS0lH0zT3guVZQnPd/zshnH6zePttISi+aZMoOb70kp34\neAVZlsib1/TpMqLrsG+f4tX79oRhmMTG5hxQQZRty5c3GDPGzoQJVreohL8h9s2bQ2jTxsnatVau\nXbNnI8Louk7BggYPPGBkU/YBKFPG4PffJd58M5OUM3RoAOXKGagqnD0rceKEeIaqVtX57bcUoqPT\nqFhRZLb9+mXPtBVFENHy5Mn9c1u8WKVDh0AiIjQiIvRs2s0uCUJn9rdx42bLkzkJArhMzbPqD/t6\nFv9u0XdPJCUl/aWeYk7m0QAvvfQSFy9eJDExkWnTpt1xD11P3DMB80ZLslmVY1x9ytyOfbseWFdW\nI3bsgdSrJ+c4OrF3r0S9egaRkQbVq5t88IH/MuumTTItWmQuAoMH63z7rXgEfJWdbTYbkZEGixcr\n7N+vcuSITL9+mX/fsaPvPmabNiKb1HUxH/rEEyoffaSQng4DB6ZToIBJjRpWduyQmD5d4tq1RBRF\njJQ8+qjB228bWCyiHHn4sEyHDgbPPKNimsJ/s2VLjVatnNhs0KCBxadGqS+YpvA/TUpKQpZlrFar\n15fNVUIDfGZSWcczXMPtd2qxSkmB336TiYx0smePCF7/+18AxYqZTJmSztmzslscwBPHjwuZwvz5\nfZ/XuXPiGcmJKQ1inKRBA53KlQ0iInS+/tr/90CSJNautRAZqVOzpsHWrWFeHqIumcbU1FRatkxj\n9WopGzN3/HgrJUuanD0rzm/qVAuJiRJWq5if7NcvkKJFDdq21Th3TsFmEypEmzap9OnjzCasoOvw\nzjs2Ro60M368LcdA9/33Km++aWPlynRefdXhU5WoWDGT0qUNdu++syIGWYUWfOkPZ30WNc3Vyvh7\nAmfWDPPfKIsH91DA9ISvAOdaTG9FOeZ2BEyXnJ2LHh0WFsaBA2qOguupqXD8uOSWzZswQWPGDIUf\nf8zeW9V12LxZpnnzzIDXvbtBXJzML79ofmX8IiMNli2TmTw5iKFDBaHChXr1TP74Q+K337zPS9dF\ndpicLPRnmzQxOHZMwmaDjz8Opk4dnU6dNIYNS+b4cZnmzQvy0ksh1KhhsmaNjMUCgwaJ7CclRRCV\nkpJwqw+99146UVFWPv9cDMP37Zt7mcwlVegqrWeyRf1/Hll3/1nHMzyH2z2F029XKXfMGBGgKlQw\n0XUIDjZJSpIYPdrOpk1CbN2XC4cgivnPHuPiLNSpk51ZmxU7dyo88og4zsiRDqZMsfgVZ796FQ4e\nVGjSRKdnTycLFljcbFIXEcZ1/9q3F3ONmpbJzI2PF0pAffoIJSjTNBkzxkrTphqJiUKRyGIBu11i\n5EgHV65IXLggrLkMA4YP946GpmmyZEkQ4eEmw4c7KVnSYMkS38/JwoUq775rY+XKNKpUMahd2yAp\nSeLEiew3qHVrkWXebWQNolmfRVcG7/ks3ukNnQu+SrL/Bcx/AXyRdDz7lH/FTPpWH0rXzjsxMRHD\nMNwPmq7DoUMSNWv6P258vJh9dAWxIkVg9GiN555T3Ya9rvM6eFCiYEETj8oGNptBjx4ZTJ1qEhAQ\n4FPGr1w5k7x5TbZutdC3r3fjSVFE+fWHH7x33GPHqtSqZdChg8Frr+m0bStEtGfMcJI3r8GeqKJc\nYQAAIABJREFUPTJLlqh07CjMpy9ckK73pAxOn5a4eBH69TMIDARNE327cuUMRo1SSU2FvHkl3n47\nlXHjVObPd7J0qcyCBb4/L8MQQvApKSluqUKXXKCvklZuG6ScNF9d4xn+2JA3i9mzrRQtajJlihVJ\nEgEjNVWidWuNBQtUgoN9E2xy61/Gx1tzLcfquiAG1a8vMpfy5Q0aN9Z9OpOAyPIaNBDjQh07auza\npbhHOrISYapUkZBlid9+C3KXwidMCGPo0HRatUonOlph6lQRtJxOoQLUpo3zup6sSa1aBo0aaWzb\npjBlipWqVY1sovN2O4wfH8K77wom7bBhwgos69d0zx6F11+3sXx5uluZSJahbVvfM6MiYPrPMO8m\nW9XzWVRVFYvF4iXi729Dd6eD6L/VqQTusYDpgmuxvJk+ZW7HuxV4OmwEBwcTEhLiXsyPHZMoUsQk\nTx7/fx8bK1O3rvdCPHCggWHgFUBMU0jZRURkbhJc2fSAAQ4WLAhGlv2LHuTJA6VK+dYSzVqWPX0a\nFi2See893W0TNn68QmSkTsuWGdjtEtOnJxIcDB07hqLrEBgIu3Y52bpVzH3OmCFTs6bpXgQPH4Yt\nWxSqVDH44gvx+XTv7iA1VTBpu3UzePpp1e1k4bpGV4lZlmXy5MnjU6pQ6Oz+tQXO31yeK4u9FSLH\noUMSycnw6KNOTp8WZcnHHnPSsKGOqsLOnSoNGngztpxO8UxERakcPy4zaZKFjRuVbH3e+HhLrgHz\nxx9lihUzyJ8/82cjRjj4/HOLWzLPE1FRKm3aiPMJCYHmzTPnFrPfLxF4oqLU69eqEBen8vTTBjVq\nWLHbZT76KIwmTZxs327l9ddTCArS0DTo2zcVh8NBgwZOoqMVDh6UGTkyO/v1+++tPPig5u7xtmgh\n/r9lS+b3+8IFif79A5gyJcPLEg1Ev9JXwKxRw+DaNSmbjN/fDc8NX24bututVvRfhvkvhetD9QyW\nN9qnzO24N/Ow+XLYyNpL27cv5+wSIDZWok4d79fIMowdq/Hmmyrp6ZkP8ebNgvCTNZuuUSOAsmWz\nk39cSE6GI0ckLlyQcTqzn0+zZgbx8ZJ7Uf7wQ5Unn9Rp2tQkPV1i506J2bMVhg69hsORQfPmDmJi\nghk1SuP8eYktW2RSUiTuv99k2zYnYWHw8cciQ+7b16BAAUhJkWjSRMdigUmTFLZvl9mwwUK/fgZv\nvqkwZYp23TVDLHCe7NfQ0FC3EPzdhK+RAk8ih6sHlZGRgWEY2cpnb7whZi+jo8UC/8QTDrZsUenY\n0Ul0tEp4uOn2p7x0SeLdd62ULx/M0KEBJCRIBAaaXLgg88knVqpWDeGppwI4ckTGboeffhImyTnB\nsxzrQqVKBnXq6Hz/vTfJQtdh40aFVq0yA3hkpObXWBoEW9YVMMePt/LCCw73CEn58jpXrkicOiVm\nRZ9/XiImRvQgGzUS96hevTR++EHBZjNp1izV6/45HDBxoo3hwzPFiCUJnnrKyddfi3PXNOjfP4BB\ng5y0apX9XjRurHP0qJLNVFuWxfiLL7F4+HvnIf29b9YNXW5qRTcjtODr90lJSf8FzH8DXJlVeno6\npmneNoeLmxlTyWme0/N48fFyrgEzJkb2yYRs0MCkbl2Dzz4T2WpGhsnevRI1aiT5zKb799eZMcP3\nozBvngi0JUsKa6WsCAoSPcp162TOnBG2YcOG6dezCJ1334WuXdMoWdJCWFgYLVs6iYpS6N5dSPSV\nKGESGgrbt0vkzQtTpjhJToZBg1QiI3XsdjFQvnmzwsaNopc5cGAQ06cHMGuWzIkTEl26WHj7bY3o\naJlVq+wkJyf7LTH/XfDXg3Jt1DzLZ4mJaWzfrlKmjM7hwwrBwWKgPjpapV07nRUrxDXVraszfbqF\nhx8O4to1iY0b0/j4YzvVqxu8/76Djz6ys2ZNOgcPpvDQQwadOgXywgs2ypTRCQ7O+Xx37/Zt5/Xi\ni04+/9zqZXcVFydTrJhgXbvQooXG0aOKX/PlRo2Ev+Xu3TJ79igMGpTZgzxxQiEwUAg1TJqUwbFj\nMleuyJQqZXLoUAA2m40aNWwkJ8vUr69lKz/OmmVQpoxGrVrem5BHH3Wye7fK2bMSn35qJSBAZM2+\nYLMJc+uNG7M/88Jd5Z/lXnKz2WFuakW+Wgs5BVHPNSw1NfW/gPlvQHJysnuUwGVJcztwIwHzRuY5\nPY+3f79MjRr++17nz0NGBpQp4/v3Y8ZofPaZwuXLsH27k3LlnOTPr/jMprt3N9i1S+b8ee9jmCZM\nnarw5JM6nTs7WL7cN327fXuD1atlpkxR6NtXJ08e0ZetWzeFnTstDB+uuDcGTZs62btXYc8eGasV\nRo7USU2FKVPEAtSpk+jJ7tolMW2aQsWKQkf32jV44AGT+vWFGfE33yQTG+tkwQInR49KvP++Qp48\nBsOGBRMSEp6rru7tnp29FbgWLUmSvHb+y5aJUnVKijh/VTU5dcpJ1apOAgOdrF2rkJQk8eGHNmbO\ntLBmTToTJ9opW9YkLi67YEG+fMJceteuNA4dUrhwQebixZwIT0J3NWuGCfDwwzoFC5peLNL161Wv\n7BJEwOnQwcnSpb43LDYbNGmi8c47NoYMcbrN0U+elLh4USItDUqXNqhXz2DlSsGQ7tbN6bbZ+vVX\nCcOAmjUNr/KjzRbM5MkhvPxymnuD6sqcVNVOt252Jkyw8MUXFr74IsOvEhIISUdfBJ9mzXS2b/c9\nS/p34nZs/F1VEV+tBV9qRU5nplCEC/+VZP8lCAsLc2cdt1tazd/xsurOuvqUOUHThKVXTqbRcXEi\nu/T3HSld2qRrVydTpoSwfbtKRITk10UlOBi6djX4/nvv84qLk0hJkYiIMOnUycnq1b6NdNu1Ex6Z\nM2YoDBnicPdlr1wRYtmFC2e+Z3g4VK+uM2KEQr9+Bps2yYwdq7F2rcwffwgiUcOGYqxkxQqZlBQx\nbmK1ip7T0aMy9evrTJsmJM/attUoXVrj1VdTsdkkLl6U+e67f0ZWeSuQJImJE0U59tIlmeLFTZo0\n0YmKCqRjRwebN0vkzasDJoUKOVmz5hrlyzvcz19ODNnChU0efNCgXj0HLVsG+9RMBfjlF4nAQChZ\n0vfz98ILDiZNyiTQbNig+ixr9uihsXix/xm5+vU1YmMVBg/OjDyvvmrDahUBtV07EYQXLlQpUMCg\nd2+NbdvEZ+vSrD1zxvuZXbnSQpEiJo0b4yVR58qcevZMY/ZsK6+/nkSBAmk5StS1aiV8OrOKexQo\nYFKmjEFcnG9zgr+jJHun3jc3tSLXOEtaWhorVqzg3Xff5Y8//rirps53E/dUwLwTUnb+jucaE7kV\nf8xfflEpWtQkp01abKzk1pjNCleQHjo0iXnzgtiyxeYm/PjDgAE6M2dmiq0DfPedwsCBQo+0bFmT\nIkUMtm/Pfv6FCwu3kQcf1MiXL+m6rFoY06ZZqV7dZNMm78esaFEDTZN44w2Ndetkunc3CAqCIUPE\nYjhsmM6pUxKtWxv8/LOEqorSb0KCKPNarTB1agB//plGcnISL73kYPHiYGJjRabyyiv+NT9vBH9n\n9vnbbxJnzsjIMpQoYVC4sMEjj+hs2GCla1dYsiSYixeFVN4nn6Sjqpn90LS0NGJjZWrUsPslcezb\np/D668m8+qqdzp0DffpT7t6t+izHutC+vcaff0rExMhcuiRx6pTsUzWoUSOdc+ckfv3VN7Hq7FkF\nScIt7J6aKoJvaKiQSpRlro8tyQweLBxK7HYxSrV0qUrTphrbt2fKM5omfPaZlRdfdPiVqNu3L4iA\nAChTxpKrSEXRogbFiwt926yIiNDYvPmfVZa9W/ActXJVcgIDAylWrBi6rhMXF0fv3r0pXrw4Xbp0\nYeLEiTker0+fPhQtWpSwsDDKlCnD+++/7/N1M2bMQFEUQkND3f9t27btTlyiX9xTAdMF14J4Z/Rf\nRTny2rVrGIZxS/6Yhw5ZciVliAzT+/w9xeGtVisPPRRCly4Z7N8v+3Qz8UTduiaqKkqhIBavZctk\n+vTJPI9OnRwsW+a9SIiyl52kJJOCBQ13XzY6WiZPHpPHHssqxi6xb5+CrkOBAlC/vlD76dnTYO9e\nmfXrJVq0MFEUmDtX4euvXcxLUardtElm82aF8uU13nsvgEmT8rNzZwCnTwtm8Pz5TjQNevb8/5ll\nTp4sfC8NA5KSZM6fl7FYTCpW1NF1WLpUpXBhk+efd2K1evdDr1wJwG6XKFHC6ZMJeeGCSWKiRJky\nOn36OBk2zEHnzkEkJHg/m7t2+e5fuqAo8NRTDqZMsbJxo0LTphq+WsWqKrwsly/PTqhLT4dFi1TK\nl88UApg0SfRG27fXadhQZ+dOleXLRUDs3VtDkgQZ54svrKgqDBjgRFVFRgyCqJScLLkdTLLi4kWJ\nCROsPPWUgwULrH4l6jzVdRo3zmDdOtFSOX7cZPFihQkTrKSkSD5ZtP+2DPNG3tfV3qpTpw7vvPMO\n5cqV4/Dhw+zYsYPevXsTGBiY4zFef/11Tp48SVJSEmvXrmXy5MlERUX5fG2DBg1ITk52/9e4ceM7\ncVl+cU8FTM8d552AazjebrcTGhpKSEjILfVJ4+JUVNXwSd8HsZjGx0vUqiV6nJ6znOBNJnrkESem\nSa4ZlyRBnz4Gc+aIxWvFCpl69QyKFXP9XqJTJwcrV2YaOrsy2ehonbx54eBBK5IkrnfaNIVBg4Q7\nxLp1mX8TFWUhJERkFYcPSzz6qMHChTKdO+sUKmQyfLjKTz9J16/DpE8fg9atDa5ckShb1uDiRYm6\nde0cOWLhu+8CME2JcuVMqlUzGTVKZfRolQceEGM0ixf7v/f/hB5mVtjtuBmorVtr3H+/GBGKi1Np\n106jY8dAChUyuXpVyjZOJPreVmrXNggM9M2E3LVLp0YNO7IsAsATT6TTrZuDfv0CvFRw/BF+PNG7\nt2Drrlqlukc2fKFHD41ly7IHzEWLLNSqZdCli8bataJHOXmylSJFRB/2+ecdHD4s88UXVkqWNDh0\nSObaNWjaVGPVKpWMDMGcbtRIZ+tWEbgmT7YydKjDb1/yzTdt9Ovn5LnnnERFeVch/EnUtWplsnRp\nAG3ahNGhQzCLFslcuaKRkaFz4oTM1av/TNH+vxNJSUmEh4dTunRpIiMjeeaZZ3J8faVKlQgICHD/\nW1VVChUq5PO1f/e9vqcCpidu54LpOk5KSsptYWfu369y9KhC6dJW3nlHITXV+/cnTghGaYECmSMU\nGRkZPjVnf/7ZQpUqBp9/nnv56PHHdZYvl0lPhzlzFPr08TYlLltWJ18+k127cJebrVYrCxeG8cwz\ngpwjRlBgyxaRNZYtK5wmDhyQME345JNAXn45g7ZtRebZqZPBjh0ylSubXLwoUby4Sfv2Ks88o3Hm\njERqKkyd6sRuh19+kVEUOHzYhmmKMnGjRgZDh+osWiQ0bnv00PnjD1HGfeoplYsXb/ljuOtYtUrF\n4ZCQZdFXLl9elGOjolR27BC2ZpGRTgoW9C17t2+fd/8yKxPyxx+DqFs38/VOp5Nhw64SEKDx+usK\nDoeDc+cMrl6VfPpZeiI8HHr0cLJ5s0qLFn4U/BEkoatXZY4fz3z+BJnMwpAhDtq0EQFz/XqZ1FR4\n/nk7KSkShw4pOBxCaD883GT8eCuVK4ewbJnK5cvCGzQkRNiFbd0qtIbj4mQefzw7CQXEfOr27Qoj\nRjgoUMCkXj3dr5m1C6dOyUyYEMCpUzJDhmj89FMa8+c7GDPGyaefplOnjpNt20wvYQCXFd7dXtj/\nSZlteno6QS4W1w3i2WefJTg4mEqVKvHGG29Qs2bNbK8Rm8L9FCxYkAcffJAxY8ag+yJV3EH8FzD/\nArLK6YWFheXKzswNug6//KKwcmUqsbEOfv1Volo1Kzt3Zh4zLk6iVi3dPcsZEBBAWFiYzyC9a5eF\np5928N132QfYs6J4cahVy2TmTJn4eGGplfV6O3Z0smCB5i43p6cHsHatTK9euts8etYsha5dDXcP\n1hUc9+yRuHpVokMH53WbJ5nQUKH2s3q1GF+RJGF+/Nproq/56adgmkm0a2dH1+HBBw3On5e4/36N\nunUNvvpKLMRBQdCnj05CgsSePULdxW6HwYPVXLVm/665uaz49FNRju3Vy8GGDSp2OxQoYBAaapKQ\nIHPtmkS+fGKx9wVfDNmsv3dlpi4SR2hoMNOm2Vm/3sbq1RZ27DCpXdtORkbuyjANG2o4HJAvn/8b\nLMtcZ1hnairGxMgkJUk0b65TpYroS77wQgABAXD4sILdLgyhIyJEGXbTpnR++CGdH39MISlJfFZ5\n84r3bNpUGE9/9ZWVAQOceFb/MueuRXb5v//Z3f3SHj2cLFrkn5C0dq1CREQQbdoIIfagIFGK9hQG\naNrUZM+e4GyauZ495XvRPNqVrd8MvvzyS1JSUti4cSNvvPEGMTEx2V7TuHFjjhw5QkJCAkuWLGHe\nvHmMHz/+L53/zeKeCpg3KsCeG3zJ6d2uEZXjxyUKFTIICzMoVQpmzdL44guNxx6zMHWq+ELu3WtQ\nqZKo17pE0n0t+hkZcOiQSocOTtq3N9yjGzmhTx+dL79U6NjR8Fp8XGIPbdqkEBUVSHCwKDfPny/T\nqpVQhGnfXvQjZ84UZCEXXE4lU6YoPPGEKAmWKmWyb59Ex44qe/fKvPKKyt69Elu3ytSqZTJ2rEzj\nxk7mzFEIDAzk6adlChY0+eUXGVWFP/5QOHJEZs8emVOnxPsMGWIwc6ZCkSIwbpyGaQpy1OzZvj+b\nf9IC9tNPMocPi8+nSRODGjV0YmMVDh1S+PNPGDzYQfnyBidO+Pax1HU4cEChVi3fAVPXhftI1t9L\nkkS+fDJTp2YwcmQIO3cG0bAhbnk1f8owhmFw7JiYv/Sn6ONCly52VqywuTcu06dbGTRIlE4lScyT\nXrgg07mz0KB97DEnS5akc+GC+KynTbPQq1cADz8cTGysgqLAxo0qixerFCtmki+fwbx5Fp54wre6\nelSUwtWrEr16ZWbC7dtr7N4t7m1WzJhh4YUXAli4MJ0XX3TSrJlvgk/jxkKezzOTdxFgPJm5OZlH\n3y78nYIJWc/jVr9XYuysKZGRkcybNy/b70uXLs19990HQOXKlXnrrbdYvHjxXzrfm8U9FTA9casB\n06UQlJ6eTnBwsF9t0lvF/v0S1ap57+hbtzbYssXBp58qfPihxr59MvXrW3LVvI2NlShfXickxGTE\nCJ0pUxS/fVEXOnUy+PVXiZYtxcLqYvumpaUhSRJ16wYTEAD79okv55w5Cv36idc2bGjy00/iPngS\nkho2NPn5Z4moKJmGDXX69w+iRQvRr3rwQZN585zIsiBlmCYkJJh89plKQIDByZMKdruViAgTwxDl\nyvBwoWJz6pREixYG330nFjNXL3PxYplBgwxCQiA5WWLkSG/ZPMj8/O12OykpKV5am7eTEHajmDhR\nZJfVqumsWqXSpIkwBt+7V+GzzzLYtk2la1cxw+orw/z5Z5lChUz8Gc//9JNM4cKmOzPLinr1DPr2\ndbJ0qYX69Q2f8mpZA8CGDTI9e6Yxdaqao9RfrVoa6eliJOjqVVizRqV378zgdfSoeIY3blS5/36D\nd991YBji504nbNig0LWrxjvv2Ln/fvG5Vq+u8+qrNqKjFQoVMrn//ux6siBGtN56y8bo0XY8p7lC\nQ8UcaNay7HffWZg40cratWnubDwiQic6OvumoGZNg1OnZK5cyfyZK3DlNo7xV3wv/0nwF6j/SvB2\nOp0E56as4fH+dxP3VMD8KxnmjcjZ3a6AWb26d8A0DIPChVNYtOgKs2YFceiQSu3auX90O3bIPPKI\n2HWXL29Sr57B99/n/HcXLgiR79OnJS9ReFdwlmWJLl2Eg8mJExLnzknukRWrFQoVMqlc2fSaD7Va\noWhRk4IFTbp1C6Z6dY1jxxyMGKFz+bIwtI6IMMiTx6RcOQ1VNQkJESLhkgRPPimyisce06lWTYhy\nBwaK93A6YdYsxU1aGTJEZ/p0BasVnntOlNLS0uDVV70zBF3X3ZJggYGBXhkV4B4zuBsltbQ0yT2v\nOGlSOlu2qAQEiGsrUcKkXTudtWtVIiI0Ll/23V+8kXKsp36srwVt6FAHyclw6pTvBdAzADidwRw7\nZuGFF5ycPy8TH2/6tT6TJOjc2c7SpSoLF1po3lyjQAFxLy9dktzzoHnymLz4olB6atkyEF0XEnqt\nW+tERmps3KhStapB8+YaR44ofPddBk8+GcCJE7KXiw5kLuQLF6rky2f6ZM526aKxbFnmd3j5cpWx\nY60sX55GuXKZn3WlSgYpKXDmjPd9sVhEdrxr143xFXLzvbxV+7i/M8j6Gqe7GSQkJDB//nxSU1PR\ndZ1169axaNEiOnfunO21a9eu5dKlSwD8/PPPjBkzhi5dutz6yd8C7qmA6Yk7IWd3ewKmTNWqmexX\nV49UlmUqVAjlk09EqTHrbKMv7Nwp88gjmV+4F1/UmTRJIadK0OLFCi1a6MyfL3mJwntmsl27Gixf\nLsqxPXro7pECh0PMzWXNYtPShIJLQoJEdHQKL76YQXCwKNVu2CBjtxscP25isZj07avTsCGMH69x\n9qxwWFm9WuGJJ1S6dDE4f14oBGVkSPzxB/zwg5gdrVXLQvXqFr78UmH/fokNGyQGDxajGCVKmMyZ\no3D0qOTOmNPT05FlmbCwMBRF8cqoZFkmICAgW0Z1p8ykv/giCF0XzOEjR1QaNxYD/+npwmUjKkql\nRg2dU6dkatbU8aV7kZulV2xszr8HIYJesaLB22/buHYt53Petk2lbl2dPHlUBg3SmD07JJtno6uU\n63Q66dAhjaVLVWbPVunXL3Oo/c03rcgyBAaanDsn06CBRosWQZw7J/PQQwaPPqoRHa2QmAjr1gl9\n5DZtNMqUMbBaRWk1NVXi2DE5m/KOpsG4cTb+9z+HT4GPNm009uwRx967V2b4cBuLFqVTpoz35ypJ\nYqZ02zZfZVmd7dvFz29Fni4ny66bdRv5J2jYujagN/O3X331FSVKlCB//vy8+eabzJ49mzp16nDm\nzBlCQ0P5/fffAYiOjqZatWqEhITQvn17unfvzqhRo2779eSE/wJmDnCNifjyibyV4+UGwxAuFTVq\nCG87zx6pS0D83DmJli0Nhg5VOXTI/xdE04S59MMPZ365GjY0CQ+HNWv89/QWLoSBAxNJTJQ5cybc\nnUV7Xl+NGiZOp8SsWTLduhns3i2xaJHMBx8olCljEhMjmLYg5u0iIixuYW1PO6oSJUyKFjX44AMh\nOBAaKlGmjMLatQr9+xv06SMcUjQNLl2Cl19WsVpNKlY0CQ8XmUtGhrD/Cg+HOXM0XnxRp0IFk549\nLYwapdKokRhFKVQIBgxQSExMRNd19/3MSbDaM6PKzUz6Vh0fTBO++UaUn3r1cjB/voVmzTTi42VA\nont3JwsXqjz6qJOYGN/9S7j5DNMXdu8WAurt2gnJupwQHa3QvLkoq/br52TFCgtJSb4DgKIoVK8u\nJBAvXZKoXVtoGickOFi0SJSiGzTQyJvXpH//QLp00bhyRaJnTycRETo7dqgsWmShUSONvXsVIiJ0\nmjYVfcWEBInixQ1U1SQmxjugLVpko1gxwy1SnxWhodCggc6iRRYGDAjkiy8y3JvVrGjaVGfLluyZ\nZIMGGjt2eL/vXwlcN+I24ksoHf6eTDNrSfZmhdcLFCjAli1buHr1KteuXSMmJoZOnToBUKpUKZKT\nkylx3ZNw/PjxXLx4kZSUFH799VdGjx59S+5SfwX3VMC80ZKsa74wNTXV7aGY25jI7QiYJ0+K/lxQ\nUJp7Uc9qORYfL0g2EydqPPqoJVtvzoWDByVKljS9GIySJLLMTz/NLj7gcDjYvz+FhASZVq2CeOwx\ng3nzfD+Mgqhh8McfEt26WRg+XGXZMiGNd/Kk0Ph87z1RJn38cZUrV+Ddd7XrwVSUn1z3OCIig6lT\nQ3n/fYO+fQ22bZMJDBRjKCNH6iQmSgQEiPJy9epiHjMhwSQ5WfQ7TVNsNH75RSI83KRtW4NvvtEI\nDxfSbnFxwpD6kUfs/PijzJ49obdk45Z1Ti9rNpATOSan52LhQtWtGdu3r5PDhxXmzbMQECBmDiUJ\nduxQ6dhRIybGd/8yOVmMX1Sp4nuxT0qCM2dkKlXKmWSyd6/Cww/rvP22nVWrVA4e9LexEv6XzZuL\ncylc2KRpU42FC7OzTjPvmyBjlSljEhoq+qFTpgSg60L56coVk0uXJBo2dFC9uuhhPvqoRv78JmXL\nGnz7rUq9ejrFihnX309n/XqVbdtUnE7Rq166NPMzdThMJk4MYtSonCXa2rVz8v77Vnr1Esxtf3CN\nr2T9KGvUMDh9WvZJHrpduBGhdMAnqehuB9F/sxcm3GMBE3KWx/srcnZ/FaZpsmePk0qVHCiKgizL\nPi3H9u0TPb9HHzVo0cJg2DDfgXznTpkGDcxs19m1q8GpUxIHDohrcgWu9PR01q8PpUsXE4tFpndv\ngwULFLd2bNbjSJJQ44mJcbB7t5Np0zTS0+HHHx1ERhrMmqVQvryVxERISpLo2dOgTRuDdetU9+yo\n1Wolf34rGRnQooVJr146S5bItGkj2Lblyok5y8qVhcrP6tUKJUqYnDolExRkUrasicUi+r6tW2eK\nLlSqZFK8uEnDhgZffZVGcjKsXWulSROD557LHJD+q/CXDdxMKffdd0X5qkQJk02bLFSsqHPxokxY\nmEm7dhrdugVRt65GUJBgufrKIvfvV6hUSZQofSE+XqFqVWGP5g+a5ho7ESIUo0Y5eO01W7YAAUK+\nz+HAq5c6aJCT6dMtPl8vyrMiqJ85IzJnXVf5/PNALBZhBXbkiJXQUJN27ex8+62FPHkM8uVLISMj\ng5o1HZw8qZCRAU2aiOuvX1/n0CFBCho+3EmvXk4WL868AUuX2ihe3KBhw5yz6pMnxbjZVFNGAAAg\nAElEQVTO8OE5B9bSpU2sVjhxwnvJtFigdm2d3bvVu8pU9ayAWK1WZFl2k4okSfIr93e7A+i95IUJ\n92DAdMGXnJ2L4HIrcna3mmF6jqgcPKhQp47is0cKorx5/LhElSrifcaN04iPl5g3L/vHuGuXRIMG\nRrbzsljgqad0vvhC9hIfCAsLY9UqC126iAWmQgWTQoVMtm7NvsEwTZGNBAaCwyF+v26dEIsvUgSG\nD9dxOkHTTA4fFopBefJAixZ2oqLEaIwYhwlg9WpB6Dl3DkqWFOXe0NDMsvGwYToXLkgkJcEjj+j8\n/LPoazqdQrhAksTIhK6bzJ6dmQH07u3ku+8MmjZN48knBUuzYkWTCxckv1ZmtwM3U8rdsUPj3DnB\n/O3d28GcOSo//ihz331CPGDMGBvnz0sMGODk8GGZkiUNn4biuZVjY2MVnzZwnjh82Nswun9/J4mJ\nEitXZt+QRUerNG2qe/UFGzfWSUuTiI31fW83brRRpYqOzSb69HPnCrWeoCDB4A0IMBk0yMm6dUFs\n326jdWvd3Q/NyBA9zq1bJR5+WPTy4uKM6xKIDgYOdPLBB3YSE8X8pGHApEmBDB+enuM1798vM3u2\nherVjWxl1azIqY/ZsKGe69/fDbgqIP6ePZfc382SinKCr4D5X4b5L4QrALjGRPwRXG72eDeDrCMq\nR4/aqFHD/7F+/FHigQdM93xkUBDMnKkxcqS3oo1pwq5dMo88kn2RNE2Tvn0zWLlS5tKlTE/Qs2cl\nTp2SaNw4830fe8xg/vzsC8GBAxIWi0n37oItC7BkiUz37i6GqZDi+/xzjYIFRU9z06Z0KlRI4epV\nhfPnxY542zaJxEThduLSmx04UGfXLpkzZyTOnoV69US2aLPB+vUKS5c6SU+XyJdPOJ3kySMWsxUr\nFCwWk927hQpRq1bX2LzZBoQyYoTIvr75RqFpU4M33lCBzHvsa3NyO3WG/ZVyR4wQC4ssw0MPpXH+\nvET//hnExAhR8rfftmOa0K6dzt69OfUv5Rz7k7GxOQdUyC6Hpyjw0Ud23nzTlo1Ms2WLQrNm3uo+\nsgwDBzr47jvfae78+TZ69XLSrZsYXRkzxoaiQFiYyaZNKu+9Z6dzZ41ly1QCA03at9ev3zcLu3fb\nsNsl4uOtNGkCx49bePzxUPLnN5BljbS0NAIC7FSooPP66zZWrlQICTFp3Nj3XCaIZ/TJJwMYN85O\n167OXFV/IHPuMisaNNDZtevvC5g5jXb4Y+ZmJWbdCKnoRvBvNo+GezBgZqp/iB1XcnIyNpst25jI\nrRz3Rh8yXyMqqmrhwAGJ6tWzZ4UuCP1Y759Xr24yYIDOyy9nfuF//VXCaoVSpbzPy1V+DQpKo3Nn\nnQULMgUXVq+WadvW8BLRjozUWbVKEHg8j7N0qUzXrgadO+usWCF+v369TOfOBunp0K+fSosWBps3\nC7mzzz+/yoABYVy4kIeWLXXWrxf3eeJEhZde0mnfPjNgduxocPSoyI5/+EH8rFMnoQZjGNC0qcns\n2U4uXFDIl0/8rFAhE4cDatfWmD5dxzAMSpcOo2FDg1WrFEqUgEaNxLUdOSL6TbNm+V/g7nRZTZIk\nLlxQOHJELOxFi+rMnRuK1QpHjwqfxcmTr3H0qE737ukYhoO9eyWfQdE0c84wxe9zDqgAe/aI/qUn\nGjfWeeABg+++y/xeaBps3y4yzKzo3VtjzRo1G8P2yhWJnTtVOnXS6NZNY948IW9XvrxBRobY+PXt\nq1G9usGff0qkpko0bCgCclycjCSJ+dRChUw0TeXxx8O47z6Tp55ysn17Jpu5R490rl6VeOstK88/\nn4Jh6H7LkOPGWalUyaBHD0FycunZ5gRXJpn1dTVr6hw/LpOU9M8QD8gJ/pi5/oQqcgui/5Vk/+Vw\njWqkX6dx5qSUczO4kYCZk0j677+LXX3Rov6PFR8vU7Nm9qxx1CidAwckVq8WH+fOnRL16xvu8zIM\nI1v5dehQk2++yZxfXLlSoVMn72MXKyZKpK7AJa4Bli+X6dLFoHFjk5MnJebOFeXYQoUE2adyZZNh\nw+wsXSrRpYudbt0CGDtWp2tXKw0aaGzYYOOXX4RJdq9eBi1bGmzfLpOWJnwQe/USi/GqVaIcN3eu\nTEiICI6rVsm0bWtSq5aYGdQ0sSCDKAuvXh2IqooqQc+eog8L0L+/QYECJvfdZ1KggMlbb/nut90t\nDB0acL2cLNGuXQYbN6oUKWJy+rRCcDB0766wZEkQvXpp19WdVKpUSfZi5SYn62zcKJOWJiy2fvpJ\nzuZXeuqU2Dx5spOzwjR9B0yA0aPtTJhgJTlZ/Ds+XqZ4cUG8yYoCBUyaN89O/lmxwkaLFk7CwsRM\nY2Ki0Pq9fFl8bo89JlxHUlPF55k/v+kuPc+fL5R/wsLAYjHp3TuQjh01zp6Vee45UTY+d86C1Wql\ndWsxYnTxokLr1iIt9lWGPHTIZOZMC+PG2QEheBESAgcO5LwcliolXnfsmPf3wWIRQgoxMX+PQ85f\n7Z3eKjPXl45rSkrKfwHz34SUlBQ0TSMoKMhtS3M7kFvAzE0k/eBBmWrVvAf+sx7PV4YJEBgIX3yh\n8dJLKmlpsHu3KMe6smhd1929WVeArlrV5P77TVatEhnXvn1CNScrHntMZ/582f2FPHpUzEDWqiUI\nN+3aCaWdLl104uMl5sxRGDMmkcqVk7l8WaZ1axlFUejVyyAyUmfBAgt796p8/rlM//46AQGQN6/I\nlLduFffjiScM9uwR2rOvv67w4IMmzz8vSCuffCIC4LPPplK0qElSkuhvFSpkcPmywkMPmURFieN0\n6GCwd6+Y1+zQQQge/P67RLFiIsh66pveTaSlwebNKkWKGNhsJjExFhRFlPZ0XXgtRkeLAFq1qsyf\nfwaQkiJTtWoAhhHA7NlBdOkSQtmy4QwdasNiMRg3TqVXrwDuuy+EPn0C2LRJ9PJE/zLn7PL0aQld\nF8SWrKhSxSAiQmfyZFFq3bLFd3bpwoABTmbM8N6MLF5sIzJSBCcXYUhRRMAMDRWkH4AfflApWNB0\nu404nbBsmRipSUgQm4I8eUzy5DHp3t1JaKhQ4dm8WQSqSpUMUlMlwsJMduywoaqquwzpYjNrmsGL\nLwYwYkQyoaGZm482bZxEReVeVn3kEZ1vvrHwzDMB1KwZTOHCIRQsGML+/Qpbtvz9fczbhdyYuZqm\nkZGRAYjZyyNHjrBq1Sr+/PPP/3qY/yaEhIS4x0RuJ2PMX8D0LL/mJJIuFH4ys8KsSEsTpdZKlXyf\nc9OmJg8/bDBhgsKuXRJ162qkpKTgcDiQZdlnb/bpp3W++kph3TqZJk2E2HlWdOlisHVrJm1+1SqZ\nTp0yCR8dOxocPCjRurXO0KEyo0YlUbiwxG+/5SE4GM6ezXzPd97R0XWJ/PkFo/XJJzMXXs8+Zvny\nYtayUCGTuXMVJk/W3CIEhw9L/PorNGtmJykJHnpIw2KBy5fF3544gZsEFRwshN+XLJEJCIDISANN\nMxk6VENRYPTozC/23aTfjxgh2KfJycIoev9+K40b64wZY+fUKZnnn3cwfbqFQYNE+h8TI4Le119b\nqVkzjOhoK888o3P6dArdu+s8/bSD5cuT2bXrCrt3/0GDBmm88YaFiIhAVq3KXbBgzx7Rv/SXpIwa\nZeebbyxcuSL6lxER/t1JGjfWSU0VziEgBCt++y2z5zlypI2gICFyUbq0KLW7RmWWLrUQFCTsy65c\nkYiOFnO9hQsL8phpwpAhdubMsTBggLg3zZoJYQMQ5XZVFT+bNCnzYfbMoBYuDEVVFYYMkbwyqIiI\nVNaskf2OZZgmrFihsnGjwuLFFqpU0fn++3ROnUrhjz9SmDQpg/h49W8pyd4tdm5WQptLoMBisXDh\nwgWmTp3K559/zpNPPkm3bt348MMPiY6OzvGYN2oeDfDJJ59QtGhRwsPDeeKJJ3Bkba7fBdxzAdMV\nNG63H2LW4/lSCMqp9HvwoET16p5jG97HO3hQ4qGHzGwSYJ744AONL79UOH9eolSpRFRVJcRlz+AD\nXboYHD8uWLbt2/tmUYaFQcuWBkuXiixz9WrF67U2m4lpwoIFTlTVZNAglaCgIJYsUWjRwmDNmsxd\nt6rC1Kl2Ll5UCA01KVUq833atTPcqj0AgwfrnDwp4XTCt9+KYzRoIN5ryhRB4une3UnTphLJyRJh\nYbjLfJs2yW5nlsceyyzL9u6tY5oS27crDBigcemSIB7dTZgmzJtnoWRJg6JFRXnSYoEFC9KZOtWC\nzSZKf7t2qXTvLoLCDz8I9mxUlMrSpenMm5dBhw4agYGwb59CvXqmexErUSKQp56CLVuSGTw4nR9+\nsBIXZ5CYmNmPEueR+Wy55i/9oXRpk86dNT7+2MqBAwoNGvh/rSwLhu3MmaIsu2SJhY4d7VgsQmTC\npclqmqKE27WrhizDtWvCoeTiRZkmTTSiohQWLrQQGelk/XoVw4CuXZ3Mn28lXz6TatXEM9ismRAU\n0DThh9munUZiosTp0wqHDnlvTK9ehTFjrEyYkIGieGdQTZtaOH3awp9/WrONZZw+nUG3bjbGjrXw\n7rsZWCwmzzzjpEIFsclUVWjbVuPgQeEwcy/BFURbtGjBypUr6dmzJ1OnTiUyMpKEhASmTp2a49/f\nqHn0unXrGDt2LNHR0Zw+fZrffvuNt99++05dll/ccwHTBVdAuhOZhadCUFhYWK4i6SAo7q4M0/P8\nMn/vuxzrgmmaFC7sICIig8BAk/z5cx+NsVqhXz+dLVsE4ccfXGzZS5dkfvlFolEjcR6GYbB6tUGZ\nMhoTJ4YwcaKB1SoWtyVLFIYN09m1S3L3vwDuuw/y5hWelZ6mxeXLizm3H38U53vlCm4C0pkzErVq\nWQGRZc6aZSMjQ6JfP4MfflBo1kwYLYeGushNos8K0KyZwbFjokdcv77YcCxdKvPeexoWi8nTT9/d\nvtP771vQNJBlidOnhb/nk0+mYrPB9OkW6tTRmTXLQvfuTkJCYO5clUWLVHr00FixIt1LnMDpFHJ2\nNWt6a8TKsozNZqFHD3EPk5Mt9OiRn6tXVbdDhmc/atcuhYcfznlGb8QIB9OnW6lY0SA3XezevZ2s\nXGkhKQkWLVLp1k2U7saOtWKxiGCpKGKcpGtX8RCsWaNSsaJOtWo6nTtrrFihsn69SteuGmPGWKle\nXWfgQI0NGxT69ct8cIoUMSlRwiAqSmHdOpU33rCza5fKgAFpfPml9+7yo49sdOiguYOtJywWUQrf\nssXmNZaxf38IrVrlp0oVjbVrr9CpUyI2m8mPPzq9xjLCwqBcOZ2DB2+dOHir+LucSny9b0pKChUr\nVuTxxx9n4sSJPl1HPHGj5tEzZ85k8ODBVKhQgTx58vDWW28xY8aM23IdN4N7LmB6Chfc7uMahkFK\nSoqXQtCNKMokJIgxjNKlvX/uuYDt2ydTo4bvoKbrOikpKaSnp1O8uEJGhkRsrOI+r5wWwsqVDXSd\nHBfB1q0Fc3XRokBatNBRVUFeunYtkR9+sFCypExwMNSuLV4fEyMRGmpSt67Jww+bbNyY+Zjt3y9h\nsQgiymuvZd4bSYL27XXWrJFJTIT331cZMkSIp3fu7CQm5k+qVnVcn7mUWLIkkOrVTYKDhXB7gQKi\nlGexiJGBL78UxxZ6owbLl4tRjd69xWD++vUKQ4ak8ttvEkeP3rmxkqyYNMlGiRIGCQmil2ezmfTr\nl8aRIzIXLsj06OFk1ixRchw1ysbYsTZUVZRFsz6yhw/LlCqV6TuaFYcOCT3WpUszaNRIp0OHMP74\nQyxOrn6UkECUKFs2Jcch9xIlTMqUMZCk3O9L4cImTZpoTJpkJTlZtAdAOIGEhYnPrEwZ0W90bRKX\nLLFQoIBJw4Y6rVtrbN2qUquWzu7dCmfPyrz8soNy5QyuXZNo1Mi7JNyypXivxx93UrasOHaFCjob\nNli4dEnctJ9/llm0SOXNN/2X8Vq31li3LnMDtXKlhX79gvjiiwzefVcnPFyQYRo10tm925ZN67Vu\nXTt79qj/Wu/LrPAVMJOTkwkPD7+p49yIefTRo0epVq2a+99Vq1bl0qVLXM3N5Pc2454LmJ64XWVZ\nF/vVNE1kWb5phaADB6RshJ+sf+uL8JNVmSgsLIz9+1UGDdJ5/XVBk8/tGmNjhaLO/Pn+HwWrVZRv\nFywIpG1bh3tu9eTJMBRFZv9+meRk3GXQpUuFxqwkQYcOupu9CzBzpoVevdKIjNT57juF67rKgCjL\nrlkj8+mnCq1aGYwapZGSArNnmxQooPDhhwr9++ukp8P//hfG/v0SffoYHDkiepSNGxvuku6PP0oc\nOABnz0LnzqKPCfD44waJibBggcLIkSnXMzzvTORO7da//tpyfTxGwjCEe8vDD+uUKqXz7beC+ON0\nSpQqZTB5spV9+2TGj8+gQgXfWV1u85UxMeL3sgxvvSUG/Nu2Deb33xV3KW3//gBq1TIIDw/y6Zzh\nOVpgt8ORIwp//JH7/RkwQJRlu3cXJdft21WuXRMC/P/H3nnHR1Vtb/97ytSEEHovgii9KyX0XqRX\npYiiCGJHuAiIglixIIpeBBQvSA8gvTfpvQmRIl1AiJSUKae9f2xmJpNkQlHv776Xuz4f/jBz3Kft\ns9deaz3reapWNciTR9z/pk0KiYkiLXz5skzduga5coHTaVGihBGs99atazB/vkrhwlZwMxiwuDiD\n3bsV+vcXzrBxY52dO2106KAFW2JGjHDw2mt+cuWK/C00aSLSu5oGP/ygMmSIgwULPDRpEh7BC4dp\nz4AorVFDZ8cO29+ufZne/q8izMzsXtpK7kQ8Ojk5OcwRB86RlDZ99W+w+85h/hmJr8wswNITgFjf\nLUMQCIRs2nRs+mtLSRFIxrJlQ8xEgfOmZSbSNEF5N3SowY0bkUnW09ry5TIDBhhMmpSxvyyttW+v\n8+uvCnFxod7RlSvt5Mhh0aOHQaNGwtmZJsyfr9Cpk7if1q2FeLSuC+BSfLxCt24eHn9csNYMHRra\n0depY3HsmMTXXysMHepFVW/Srp2P5cudOBziuY4cKZ6z223RurUTjwcWLZJ55hmD9FiquDg79evb\nefJJlV27JD7+WKZ4cYsiRSw2bJBJSZHo3l3nwAGZY8e0v4T5JCsbOdJBjhzWLd1PEWX366eRkiIx\nZ46N7Nkt5syx4fcLOsGFCz0cPSpHJCzYtUsJajZG+j0tQvaFFzQGDPDRvXvOYEvHjh0BwE/W/XkX\nLwoS+44dU/nkE+m2fKUNGhj88YdEuXLi/GPGuMiRQyBcz5yROX1aRNPz5tlYutRGvXo6CQniXhMT\nJTweiQ0bVCpVMihbVmhgTptmo3NnUdNMa8ePi17NwKaiaVODdevsPPOMj6lTbaxerXD8uEy/fpGJ\nDEBExsWKmXz8sZ1RoxwsWZKaafo2QFQQuO0AqKhWLYPdu+24XAJRmpam7r9B+zK9ZeaoNU3LlNLz\ndiZJWYtHR0dHc/PmzeB/B7Ah/25E7n3nMNPan3GYARKA1NTUIEn6vdpPP0nMmSMzcqTCuXMZr23/\nfuEs7fZQ+jU1NTUDM9H+/RIlSwoR4XffNXjzTQXTDBE1pLfjxyVSUyWefdYkOVli587MHb3f7+fa\ntVRUFa5diwq2pvz4o8zJkxKDBxu0by8kv3bvloiKsoLOvUgRQYK+bZvE/Pkyjz5qUqCAQZ06Fh6P\n4Lzdtk2c12YTJAQVK+rkypWEy+Vi1CiRYt2wQRxTsKCgxMud26RaNYOFC2Wioy1On5bYtEnG7Rb1\nsQBl3ooVfk6f9lO3rskPPyiUKWOnQgUR3Sxb5uTll68hyzBoUEwwU2AYBn6/PxhZ/RUptokTVTwe\nSEkRzwdEOrZJE51Zs1wUL25SvrzB4cMyefLA9OkeXC4iCkbD7VtGAujatPb8837atvXSqZPrVgtS\nZMBPWnTpjh0iFTl0qMnMmS6uXpWz5Cvdv1/w4W7ZopCSYrF3r0pSkkS3bn4uXRJo1hdf1Fi6VGXe\nPJWyZU0qVBBk+2+9ZSdXLpMTJ2S8XkEYsG+f2OA8/7zGhg1qkH3INGHSJDuPPmqwdq2IPB95xODC\nBYUcOYQDfPVVB6NG+SJy7aa1Bx80GTfOTny8h1KlMn/nxYsLHuWTJ8O/l4BA99GjcgZE6e20L/8M\nw85/Ug0T/h7x6HLlyrF///7gfx84cIB8+fKRI5Ji+t9k/3OYdzlBIxG03+t4ID68sWN1vF6oUcPO\nkCEKycmhsQKEBenPm56ZaPt2mRo1xP/TvLlJ9uwwe3bkV7xihUzz5iaKIlCp33yTUWQ5sCn46ado\nqlXTmDtX3Ovly3D0qMRTTxnkyyfSqZs2ycydKxh/0n4zjz1msmSJzPTpCr16icXZZhPo26ZNDYYO\nVTFNi9On/fz2GyiKRWxsLHa7neLFxWbhnXdCUcXAgQZnzigcPqzwz3/qOJ0wfrxA5TZsaOJ0Euzl\nq17dTqlSdjZuFICl0qVN1qwR/Zjx8S7Klo2ifHmTzZttJCWJyEpRFFRVDbYcZJZiu5v3bJowfLgT\nWRaAl9KlTaKiLF54QcOyYPLkKGJjLfbsUShUyGTaNA92e4hQIDOHmZgocfWqxMMPZx5hnj8v4fOR\nQdsRYMiQZEqVMunf38n+/bfv0wTRTlK/vkHhwtCpk84330SF8ZWmdwRz5kCnTt5bosxuVFXczwMP\nCHWSDh00Cha0KFNG0P799pvE9esSNWpEsXixis8n+imPHVOIi9OZNs1Gjx4a+fNbPPigyZYtYq6u\nWKEQG2vRtavO6tVijqgq1K/vZ/VqG2XKmFy/LtOuXeRWmIAlJMisWaNQsKAVUfkFxGYsLs5gy5bw\nSNeyLGrV0jKlybud9uW9qt38J9ndXufdiEf37t2bKVOmcPToUa5du8Y777zDU0899Vdd+h3bfecw\n7zUleycE7ffiMG/ehIsXJTp2tPjoI4M9e/xcuybRqFEse/YIovLduy1Kl065LTH89u1pGX7g7bd1\nxoxR0fXMr2vlSuEwQaBlly4V/ZYBNqRQbTQ7q1ap9OvnZe5cgYKdM0e0gAwaJBbb2FioVctkzhzh\nMNNamzYmCxYoHDgg0apVSBz7scdMrl6V8Hph5kwf48YpdO9usHu3DY8ndH9vvqmzY4cUrJH27StQ\nsbVr6/Ttq2K3C/KGQ4dk1q+XKVMmdK9+P/TqZXDlih+nE+rX95E9u3Do27fbOXtWYcgQ0Zc5eLAj\n+B4DajGBpu2AEgRkZI+5XXQwfLgdvx+KFRP0fPnyWXi98PjjGsuXq+TMabJzp8L16xJLl6YGW4dO\nnpRwOESEnt527ZKpVi1zMWnglnZm+MYlYJIEX3zh5cgREQXeruRkWYKwoFEj8a5ffdXP1Kl2EhMz\ndwRudxSLF7vo3VujTh2N6dPdgEXNmn5++kn0WLZrp2FZFkWLWqgqzJljo2ZNg5UrU/D7JfLlsxg4\nUOPqVYlKlQzmz7fxxBMipdqypaCyA/jqKzvPP++nWTOdNWtEewlAo0ZeVq60sWaNOO7s2ayjnsRE\nia5dXbz7ro/ERIlLl7I+PhLheo0aQpT6Tiwrhp2AbNed1EP/kyLMrDRm05sk3bl4dPPmzRkyZAgN\nGzakePHilCxZklGjRv3l93Q7u+8cZlq7Uwd3pwTt9+IwDxyQKF/eCi58BQrApEk6I0em0q2bm6lT\nNfbulahZ05YlMbyIRmRq1gx9TA0aCCq4OXPcGa4rJUU42EaNxPG5c4uo9F//EgTKAeFql8vFL78I\n59i6tZ9s2Sy2bJH45huFunVN8ucPjVmjhsXNmxJVq4afq2JFixs3RIuHyxX6mJo2Ndi0Sebll6/z\n3nvRzJrlYtgwk6pVLdatC91n27aCcH7YMLH4CUkljc2bFY4dk/juO40BAwxKlxaI3+zZxSJcrZq4\ntwkTFE6d0mnUyEdMjNiUtGolAEING9pp0MDAbrf48UfRnJ+ZZUZinVV0EFjYEhNhwgQ7djucPi0z\nYoSXdetUunfXiYqCL7+0kzevgd8v0qVpn2dW6dgAoCeSZSU2DWKD0batzvXr0m2Jw3/9VULXoVQp\n8TyLFrVo00bjn//MPMe5e7eC2y1Yipo0Eel+ux2eeUZj40YbNpvFww8nc+aMh8WLFZKSRBTudlt8\n+KEY8/33fZQubWBZAjBUpYoR3DgEuF8PHZI5flymfXudwoUtihQxg4Cghg19rFunUrq0yRNPCORx\nJDMMePppJ+3a6fTurdOggR5M70ayuDidLVvC6/6WZVGzpsa2bffO+JMZw076zVr6eujf1R53t2aa\n5l0xp92NeDTAq6++yqVLl7hx4wZTpkz5U9zf92r/c5hZTLTMSNJv95Lu3mHKYYQFgTFatfIwZ04i\no0dHcfq0QoUKWX+E585xi94s/O9vvaXz2WdR+Hzh59i4UaZq1VB0YZomPXsmM3mygtPpIjo6OtgS\ns2KF6NOUZYkuXTSmTlU4cUJizJjwNJfHI64hNTXza4yNDV2DpmnI8g0qV9aIjo7C55OpWNGicGER\nkS5aFJqakgRduxrMmCHz6acyZ89CiRI6iYkSzz9v8NVXKn36mBw6JDN6tM66dTIuF+TLFzp369ZO\n2ra1WLnSjcOhMG6cjtNpceWKxGOPOejRQ8M04dNP7Xe08bmdFmZgYWvZUrRx5M5tUqSISalSgnD8\nzTf9bNmicPKkfIvGTeg6prVI/K4QAPzcu8MEOHJEZsAAP337OoN8vJlZgA4vbeDw2mt+Jk3KXMB8\n4UIbHToI8esVK8QmR9cl8uUTEXPHjgbjx8dSpUpePB6J/PkNYmIssmXzs3SpDa8X5s2TOXxYIjra\n4uuvbfTsGXo2ZcuKzc4HH9h55hktWJts3lwP0ts5nYKX9rHHNHr31pgxw5aBZzdgH31kR9OEOgyI\nNpVAZBrJHnxQEP6nj1xLlhTan7eLaO/GIimOBNLgAZKUv0px5E4tM+L1zOqP/7M1IV0AACAASURB\nVE123znMO0mhZkWSfqdj36nt2ycFkXhp0a8AFSsqfPKJgOVPnJi1wxT1y4wpuJo1LUqV0pk+PXwB\nWLVKpGPTMhLVrm2iqjI7doQzEgVqncAtZKNMjhyQvl1q9WqZ8uUtVq0Kn1YBINC+fXJY47zb7aZt\nW5nFi1Vu3oTTpwOLnMHy5eFE4j17ClaVf/5ToXp1O/PmCfFhm40gOXzp0oIAvmlTk5QUcT316gmJ\nrCtXZNassbF1q8zNmwI8VKmShsMhKNUSEmQcDpgyxRbR4d/O0gM94uOzk5AgUsa//Sbz3XfXeP99\nGxUq6ERHexk+3EZSkugrrV3byNDyEKl+qetCFDpS7dHrFc4wLaFBejNN2LZN5bnnNDp31nn+eWdE\nlPTGjQr164dvjkqUsGjWzOCbb8KjTEHOLwgHLEsw+zidFgUKmGzeLDQwly5V+OILB7Vq6bRrp1On\njoXbDc2bCzKL+fOTiIkxGTfOSYECOkeOKDRtmpImHWnRoIGoWT71VMiRtmgR6qOcONFN6dIGCQkK\n5cub5M1rZcr1un69wtSpNr791htEWTdqZLB+vRLRwYLYxGWWlpUkIW79Z6LM21n6NLgkSbhcroiK\nI39XPfR+08KE+9BhQjh5QfoJFCBJ9/l8mZKk327cu52Q+/dLVKliZUC/BiKVc+dkOnc2+fxzJUvh\n4+3bJWrWzPzcr7+eyscf28J0DVetkmnc2B9kJBL36ubZZ00mTQp97ElJgpi9fn0hO5Y/vxDuTa+a\ncvasAJr06WMwf374dc6eLfPkkyanTsGRI6JvKiYmBrvdTuvWAunaoIFJsWIwa5ZM8eJQoIAVRM+C\nYOkRpATibyNGpJArl8W4cQqVKpkMHSq4aSdPVvj8cz8OhxCZzplTwekUDmLmTIWHHjKD5Ozt2vnI\nm9fi2Wd1tmxRcbtNDEPihx+c/Fn74w945RVXMIJv1UqnSBEnBw/aGDTIx+LFdvbtEyu01wvDh98I\nQ5kmJgonmxn45MgRmfz5TXLmzPzcBw7IPPRQ1ow8x47JZM9uUaCAxZtv+jh/XmLatIzZE8OAjRtV\nGjbM6D0GDfLz9dc2kpNDf9u1S8bttihTRtStNQ3y5jX5/XeZmTNVUlKEU+ndW8Nul+jQQefqVaGL\nOniwk1KlTBo2lHj3XUFace6ciAwdjnC6Or/fICrKIjZWC35z1aoJQogDBySmTInizTd9LFsm+pF7\n9tQy3F9iokT//k4mTvSSP3/o2ylUyCJ/fou9e7P+7tMDfwIO5O92mOkt0P+dVcZD1/W/vT/0v12p\nBO5ThxmwtA4uwNITIEkPELTf63h3Yqmpoj5UvHhKBvRrYKy9e4WzWrZM4623VNavzzyK3bEjvH6Z\n1h59VKdkSZNp08TrPnbMIiXFomjRmxnu9YknDFatkvn9d/H/btwo88gjQtZIkiQWLVKRZZFiS2tL\nl8q0aGHSvr3JqlVCIxNENDRnjkzbtjdp2tTHhg3ZwzYgxYsLh9G0qcnw4Toffih29m3amGGEB6dP\nQ5kyFklJ4vgtW2yUKmVgmkLCavlymUWLJA4fhsTEZLp108iTx+LHH1UURSAnZVk4k3nzxLitW3u5\nelXi4EGZt97y8scfgqpu3DhXEDxyr9a0qRvTFNcK8M03XkaOFNRwsizTt2828ua1qF7dIDbWonp1\nOQxlummTTpUqGpaVMb22c6dCjRqRF7qsxKYDtnVrSDDabodJk7y89Zad06fD3+vBgzJ585oUKJBx\nXj/8sEndugbffRdyRD/+aKN9e5GOffddBzYbJCfLVKmi8+uvMgULmpQvbzJokJ/duwUp+549Cs2a\n6ezdqwTTosePC4ceGysIPZ5+OganU6ByVdXFhg0ONA1On9aDkZTf76VJE40RIxy0bu2heXNxfz//\nLNOpk8batSGtTsuCF15w0LWrnqn6SpMmRhB1G8nSRpher9jg/PKLTLly5r9NUDqr9Saz1pZI9dCA\n9NndpHLTR5g3b978X4T532wBOrtASlKWZWJjY+9ZH/NuHea+fToPPqhjs5lBgE366DfA8FOqlMX3\n32v06WPj5MnwcVJTRYtHerBN2ut64w0/Y8cqJCf7WLTIT6NGGrGxGQnhc+QQgs3TpokPfvVqmWbN\nQovz+PEOHA7BPJRWKHjxYoXHHjPJm1dIda1eLRzAypV+ChQwKFNGoWNHhaVLw3f5S5aIvsNTpyTq\n17fIlQsWLJBp08Zk/nyF0aMVKlSw0aiRnV9/FQtd5coWmibRv7+QeIqNhcqVTebNU/jjD4lu3XJR\npoyMxyMhSYJztUABIRtlGOKcPp+IfCpXNm/pcmpUr26QmirYdpYvv/vm64CNHm3n+HGBYtU0eO89\nL5cvSyxcqJIjh0Xfvi6cTpgxw8O+fQrNm3uDNapAZLB3r4tatfQwLcJAZCDEpCM34WcFFgrYtm0K\ntWuHjilb1uTllzVefDE8NXs7Oa/XX/czfrwdjyek6NGhg47HI5xepUoGcXE+9u0T88lmE5uH5ctV\nGjXSOXlSpnBhQUIvSdCqlRG8vpIlTbJnt3j+eT+7dimMGCHm6uLFdkqVMmnVymDt2mxhBAs1avjY\nskXllVeS8Xo9NG/uY/FimdhYkwYNdObPF/Pv++9tnD8vM2JE5mzpTZrorF2btcO02y0uX5aIi3NT\nrFg0LVvmoGfPaHr1cvHrr3JEANnfYXe6XkWqhyqKEixF/U88OrLdlw4z8JINw0DTtCBJutvt/lPw\n7Dt1mIH+xl27DKpUIQxgk3asGzfgt98kHn5YjNmggcXw4TpduoTX2fbsEbJfzgiZREmSeOQRP4UK\n6cyYAZs3u2nVKrIWaCC1aRii9aRZM5MrV+Drrx0cPy5TtqzoUwvIaN24Abt2hfQ0O3UymDNHsHHM\nnWujRw8Lp9NJs2YWu3dLXL8uB5/ThAkKzz0n6PMkCYYMMRgzRmH8eEGbd+KExNSpOvPna3i9Qj9x\n/HiN06cVUlIknnzS4ORJWLr0Ck2a6NSta3LhgmAL0jSxiOfNa3LxoliQS5SwME3o3FkNXmuuXBZL\nlthYutRzSzlDYsKEe0vL7t8v88kndgoVMtm7VyFfPtEj2L27C79fcOwqCnz5pZc33nBSvLhFgwbh\ni7YkSezYoRIXR5gWYSDzsH27SqVKKZlGBpZ15w4zEGEG7IUX/CQlSUGlERD9l1k5zAoVBIHE99/b\n2LtXxm4XznfMGDFGSorErl12SpYUc+PVVzXcbqFz2aGDzrZtCpUri/pmtmxWUBZs2zaFpCSJnj01\nHn9c1PFXrlSYNMnG11/bGTBAo00bnSVL1DAA1sGDQpjb7RYKLi1b+lm2TMXj8dCpUzI//CBz/LjO\nqFF2Jk70RFT/qVXLICEhJGuX1o4elena1UWTJm4KFLBo0ULnzJlk9u+/yu7dSZw7l0xcnMH27f83\ngtJ3Y7djeIokHp1ZPfR/Kdn/UgvUC30+H7Is3zFJ+u3sdg4zfX/jL7+4qVYt8ngHDihUqGCFUb49\n+6xJhQoWgwaF/hgA/EQ6Z6B+MWSIn88/j2bLFiXYTpKZPfKIRUyMxfTpMsnJMHiwSvnydr74womq\nckt/UuL111V69FD5+muFuDhBX2aaJo0b32TVKgW/P4oVKxx07iyeidsNDRuarFolVqnDhyVOnJB4\n9VWhoXjokMSePRLHjwtB42eeMXj4YYtKlSwGDlR57z2djh1NVq9W+P77JIYNc1CoUAo3bkicOBHL\nV1+Zt6jkTFwugWRUVTh/XlD2KYpALxYuLCLguXOdtG0ramgLFqg4nTBwoB/LgqNHFQ4cuLvPIzkZ\nWrZ0oyiiZmpZ0LWrRsWK0Zw/Lwef28MPm6SmSpgmnD0rU7t2OCG41wuHDoW3jQTSa9euObhxQ6ZS\nJUemkUFCgg9Jssif3x8R5HHhgkxqaqhNJGCqCl995WXUKDsXLoj+2F27FOrUyTo/LeaVnfnzVdq3\n15AkmDpVkMz/+qtMs2Y+fv5ZoVgxg2XLVBITRetJs2bCYV69KqEo0KOHzg8/CEe7ZYtCQoJMt246\nZcqISHPECB9jxjg4e1aiZUudxo1FGjcQyZ07J7FggY369XXWrnWiqip168qcOqXyxx9RtGwpc/q0\nyrPPRvP88ykULZoUMZJyOESNMiBODaIV6/XXHbRu7aJBA52jR1Po39/P779LGTarAfq8v9v+jh7M\n9AjwzMSjPbdqLj6fjzNnzrB8+XKuXLnyv5Tsf6OlpqYGRZXvptH2dpaVwwygX9P2N+7bJ1OlSuQ0\n6v79arCXMPR3+PJLnc2bpSBhuiAsyDhOWsStiPBs2O2QJ49IfUa+D+Gsxo9XkGVR19yzx4/HI2EY\nErNna+zcqRETA2XKmHz4oVj0zp8XyOICBUTLyrhxTipVsihYMDR2u3Ymy5Y5sCyLr79W6NvXwG6H\nuDiTNm1s7N8v8cEHOpcuSXTrJuj2JkxQyJ5dIGU7dTKYO1fmoYd8TJx4nZEjxY62Uyc7mzbJjBmj\nc/684K7t31809ssyZMsGuXIJINDFixKyDC+9lJ1TpyQqVjTZtUvl2jUYPtyPLAtw0ddf33la1jSh\ncWM3Ho9wRNeuiWjr4EGFmBiT1q11TFM825Ejvbzzjp1+/fwULGiSJ0/4O96zR4CTMpMyDdDdKUrm\nkcHevS5q1NAxDD0ibd2OHfaIgtFly5r066cxeLCDHTuUW84q63uvWtWkTBmTGTNstGunc+yYkHTL\nl08wGtntoj/288997N4t8913dho31nG7hWPcskWhWDGTF1/0s2CBjdOnJX7/XaJhQ53cua1b71dn\n82aVcuUMPB6Ja9ck3G5o0CBEYjB2rJ2nnvLTqZPO8uUOLl2S6NTJRVSUyCA4HAIMdfmywmuvcdtI\nqlEjP2vWKLdKIzJ160aRlCSxe3cKzz+v4XQKUvjNmwManyHnVavWv8dh/rssfT3UfUttXlVVLl68\nyJdffslbb73Fm2++GZT22rx5c0RQkd/vp2/fvhQvXpyYmBiqVKmSqQ4mwNSpU1EUhWzZsgX/bdq0\n6W+716zsvnSY2bJlw+12I8vyXdUc78TSj5eWXi4qKioYzfp88MsvEhUqZO0wM6tLZssG06bpDB6s\ncvasAPykjTDTnzOwM5SkAHBGRDdZWffuQlx6xAidnj1FfbBKFZ2HHzbInVvswDt3NlEU0VtXtqyX\nOnWiOHgwFrfbTadOgvWnS5fwdF7r1oKG7tw5iI+X6dtXoGpXrJBxOi3mzdPp39/k5EnR7H7xosT7\n7yt8+aUOWFSv7uHiRYtff1Vp1Ehm/XrhuK9elfjXv2SGDhV1wlOnJPbulejeXbACJSUJMexRo3QM\nQzi46GiLpk2dPPqoSc6cFitWqLjd8NhjfkwT5s1TgyTlWZlpQs+eDhISZHLlElGV1wuffealTh3R\ncL94sUrJkiadOulMnOigVy+NixflDO0aIAA5gfrihQsSU6faeOEFBy1auHjhBQf79sm0aOHi5Zcd\n/PCDGuyhlCSJXbts1KplhdWnbDZbEFDk8XjYscPGI4/4ItanXnvNz7FjMpMm2WjQ4M7QT506ady4\nIagHX3nFgaLAvn0qAwb4mTHDhd0ODRqY9OolFEQ6dNA5eVLC55MoUsSkRw+NQoUsqlUz+PprsbFL\n23vZpYtGfLzKoUMKjz+uMXCgqLW2b6+zYIGNX38VgLSXXvLTvLnG+vUO6tZ1U7u2waefelm0SOXU\nKYlDh0TqX5ZvH0nVq+dhzRqFqVNNOnVy8Y9/pDBhQjI5coSeV5kyJteuidJJWqte3eDoUTkMQfx3\n2P+1UonNZqNmzZosXbqUl156iXfeeYeWLVsGBZ4jXZuu6xQtWpRNmzZx8+ZNxowZQ9euXTlz5kym\nx8fFxZGUlBT8V69evb/ztiLafekws2or+SvGhYzp1/Tcr4cPC6J0lyvyWAcOqBFFoytXtnjhBYNe\nvWw4nVC48O3PCYJuLXt2K9i7GMkCtZ2zZ6VbBNcyefNaNGoUSh8+8YTO5MkSRYvqfPGFzsSJBr16\nOZgxQ6ZpU5Pz56Vg/2bAYmMFavedd+w0aybARUOGqCxdqnHzpsSFCyLl+8ILIsLNmdOiYkWT4sU1\nkpKSMAw/HTqYLFkidrjVq1scOSKuafdukXpNSBA8qt9/L+qYUVHCqR09KnHsWKjW6vGISHP8eOEY\nFy0KIIV9REWJxvQpU7ImqvD74ZlnnCxbZkOWISlJBoSuY/nyJhMm2DlxQkaW4Y8/JB54wOTyZQHC\nCvCzpretWxVU1aJVKxe1akXx00+idWb4cD+FClm8/baP4cP9lC5tsmqVSuXKUTzxhJPdu2V27Agn\nO0gL8gjwvm7fbicuzsgUUKTrAoQ2fryP5cvV26JtA3bypEzBghbTp9vYulXUI91uWLLERq5cFlWr\nCpmxzp11LlyQqFVLZ80asXG8eFGmUyfhmHv31oiPt2EYFk2bhs5dooQQH6hZU+fdd0UbzPTpKi1a\nCCq6UaMc9OunkTMnzJ9vQ9clnn5a4403/DRpYnD4sMJzzzkZPNiPy2Wxc2fm8z9tJFWmjB2fT+aD\nD2JYtCiJ9u19GWTPDEMjLk7np5/Cx3O5oGJFI4MU2V9t/1cMP5HEo8uVK0fv3r358ssvWbt2bUSH\n6Xa7eeuttyhatCgArVu35oEHHmDv3r0Rz/efYPelwwzY3+Ew05IPpE2/ZqZvGSkdC6KPLzFRjqiY\nAILH9coVyJ3bQtO0DJR26TcGly+LFoyRIw0+/DBrOa/t2yVKlbKYOVNh3ToJl0toITZurAXv8eGH\nr5GcLFGtmoTD4aB5c4uVK0X7y/vvq+TKRaYLU+vWPhYtEpy0s2bJbNzo55FHLFq1CjH8PPWUwcqV\nMpcvSyQlWUG2pWzZstG9u0V8vD14/blyQe3aFg88YBEf7+fNN3WaNBGR5Q8/yGH9pz/8oLB2rTiH\nYYi6nSSBzwfLl4v6Wv36WvDvn35qixiNnzsnUaOGm/h4cS/Fion2i3z5BM3dU0+5sNstmjbV0DSB\nKP3kEzuTJnmxLFEfjIsLRXCWBYsXq6xfr7Bhg0q/fhrHjyczZYqXZ58VKN5ffxXOpW5dgwEDNL7/\n3svPPyfTsKFBjx4uEhLksAgovSUmSly8qFClipwBUAShVoOiRUW/7IoV0m1bDQLo2MGDfYwa5cA0\nRTtRlSoG0dEWly8r9OghXsLevQqFClnMm2fjhx/sFCtmUrGiQaFC1q25IWrKdeqEy7V5PIJ3WZJE\nG4xo03GQlCRRvbrB6tVCD3PIEAeTJtl55ZVkTpwQ79nhECokv/0m88ILGt266cyenfVGyDDglVcc\n2GwWPXtqVKggZwDFBMj5a9Twsm6dWNQ1TQv2N9apYwRJ4v9O+0/SwrzXGubly5c5duwY5cqVy/Cb\nJEns27ePPHny8PDDDzNmzJignOK/2+5Lh5l+gv1VTjMAsEkr+RUJTLR/v0yVKpHzovv3K5Qvr0ck\n1wax2FetanLsGCQkeHC5XBERt5Yl+Fnr1zfp1EmIKEfq6QRYs0a0dhQpYvHeeyqdOxtcuCBTqZKf\n5ORkPB7PrXNBUlJonDJlRCvJnDmiXhToeUxrsbEWKSkSv/4qsWaNRqFC4u9CIkxce0wMREVZVK7s\n58wZmaSk2CDbUs2aFqmpcPhwaOw33tA5ckSiQgUYOtTktdcMYmNDFGlAkELNbhdRLBBE0oKIQh98\nMJpRo1y0a+cjJsbC45GYOTP8eaakwNNPO6hQIYrTp+VbnLQ62bNDrVqiB3HuXBtXr4qIafNmG+XL\nG3z2mZ0JE7w89JDgPH3oIaEJCqKtpn17F8OH2ylUyGLTplTat9fDUJx79yq3lE7Cn2dMDDz7rMan\nn3opXNiicWM3U6faMt0Qbd+uUr26FuaMAlFV2laDXbuiqV1bZ9EiBzt3GlmiJBMSRAtP7946KSli\nTLdb9HD26OFH06B7d5FeXbBA5Zln/Hz1lZ1Dh2Ry5zbp0iW0afB4xHtI7/TnzrVRvbrJtm0qyclQ\nrpzJM89oDBrkIDkZ8uaFl15ycuSIzMqVyfTq5WHVKiGpduGCyCzkzSsQyl26aCxYIISiMzPDgH79\nnJw4IfPxx94Mtcj0fK9Nmihs2xZC/QQ2HVWrpvDTT9J/jf5lWssswkxKSgoTeb5T0zSNHj160KdP\nHx566KEMv9erV4+ff/6ZK1euEB8fz8yZMxk7duw9X/ufsfvSYQYsAPj5sxM5kApNvdXrkVbyK5Lt\n3Ru5b1L8LpxTVuf0er0cOWLRvbufYcNyYrPZs9xtrlkjyLCFMofBhx9Ghr2vXSuO7d7dYOdOiZgY\nIZkE+i0FkxhOnbJjs0ls2BAexeXOLWpEJ06I2mQa3VcAPvjAjcMBL75okFbOrkkTkwMHJC5fNpk3\nz4fbbXDwoJ0WLSwWLgxdqyyLmtm8eaFn3LixSAG+/77Cq6+q9O9v45NPhPRXQoKfvHmtoPPRdaHO\nIssE/wUciGHApEkupk93kpoqHOuQIU4OHJCYM0elZUsXhQpFs2yZLYiG7dhRQ9Mkypc3kGWJ4sVN\nli9X6dlTIzVVSImJlKCfli3Fznj9eoWGDQV93HffuWnY0E3jxjrPPqvRrJmeKSAnK+1KEGChbt00\nli/3MHGijf79nRlo/rZsUahZM/K8AvFdbNxoo3lzg9GjfQwdGovTGVLRCKAkA4Ci+fMlWrf2k5Ag\nqO1kmaA498qVNooUMYII4b17Ffr3D7Hz/PyzSrt2Ic81caIdtxtWr1bx3eq2sSyYMMHGq6/6qVXL\n4Mcfxct6/XU/Bw8KNO2ZMwJZHR/vIXt2i7x5LSpXFuQDr77q5LnnNE6cEBmLBx6wKFXKZM2ajLtR\nw4ABA5xcvSoxb54gPzhwQMmUMzdgZcqYJCfD+fNKGElA3boKBw/a8HisDKncv4rv9T9JqeRe+jBN\n06RXr144nU6+/PLLTI954IEHKFasGADly5dn5MiRzJs3794u/E/afekw/6wkV1pLm369U9Stzyfq\nbBUrRj7v7t0ylStrmV5bgL4vMVHjzBmVjz+WuHxZYsaMyHUZ0xQRZuPGIqrt3t3k1CmJ7dszXuvV\nq0JcukYNEQkqCixdalK/vg9FUYLp3qVLZdq2NSlTJrwmunixTMOGJvHxGoYBEyaEfnvvPYWTJxUG\nDfIGKeoC5nBYNGqkM3u2n3feieLjjy0aNDCJjraIjw8/tnNnP/Hx9mC6VJIEW9CECQpnzsCuXX56\n9DDp2lVQ/fXpY9K/v8GjjwrE5pQpCvnyCaSoqgqNxrSvTRAeCAeQlCTRpImb/v2dHD4s43SKyDRX\nLot69UJ8paNH+5g3T2XzZoVevfxcvSozcaINXYdevbQwcvUNG1SqVjV44gkXs2e7WL06lZde0ti+\nPZxQIK1l1juZ2e9C8zMVXRdtLleuhG5s61aVWrUikx4EbN06QYf3xBM6brfFlCn2YFSVVgfTZrOx\neLGdli1Tg2oyMTEmfj+88YaHTZsUmjTxIgTHVZo00VFVuH5diEjXrauHUfzNnq1So4ZBhQpmcJO0\nfr2CJEHDhgY9e2pMn267NV9EOSI1VaJQIYsGDYywiLx9e53x422cPSsxdKifli114uPFmF27ZkzL\nWpZIw164IDFzphDwdruhRg2DjRsjby4lSaBlt2wJbVglSSJ7dpnSpU0OHXJnmspNj8q9F6q6/6So\nNSUl5a5SspZl0bdv32DkeDetff9X931fOsy0dq8OMy0SNW369U7G+vlniRIlREQUyfbuFXRiacdL\nq57idDo5ejSGypXFOF99pTNsmJppo7UkSRw9Khb6kiXF32w2GDRI56OPMiOklqlTx0RRTKZNgxYt\nvGzebKdVq/Bjly2Tad3apHdvg3/9KzSV4uNlOnUyefRRi6efNvjoI3FdS5bIfPaZQrt2fvr00Vix\nIkShF3ieLVum8t132ciXT6JFCwFsWrtW5vhxibQAunLlTGJiLLZuFQvUpUtw8KCQoRo61Ai2Qgwa\npPPttwq1awsO2YEDNR56SNDRXbyooOsiIjp/XqB0A2xATqcVtvj6fGJsj0eiWDGdnj1TSE6Gfftk\n2rb10bevj7ZtXXi9UKKEyb/+JfoSZdmiZk2Dzz8PkRPcuCHSyf/4h5MSJUwWLUqkVClBOpAWIZvW\nDEO0lERymD4fYWLQUVEwebKXJk10mjVzc/q0IMI4eVKhcuWsHeapUxKpqaLFRJLgs898fPCBPUwj\nMtDwfvq0jatXZapVs7FuneNWdCmcYUKCn5s3Jbp1E20t8fEKHTtqzJmjkjOnuN9y5UIO4vx5idOn\nZbp313juOT8TJ4oMwoQJdgYO9CNJgmD9l19kTp6UWLtW4eefZYoWNale3WDu3HAHWKeOAN189JEX\nu130xM6ZI47p0EFjzRo1LPvx9tt2Dh9WmD3bE/ZtNm2qs2pV1ot5vXo6W7ZkzCrVravz009K8Jml\nl+7KTOEmrXTXnaRy/1MiTNM078rpDRgwgISEBBYtWoQjEoMEsHz5ci5fvgxAQkICY8aMoX379vd2\n4X/S/ucw79JhZoZEDaRf73SsPXuyTsdeuiRqOUWLGsFzpldPcTgcYfyx1atbdOhg8uabme+EN2yw\nBaPLgPXubbJ3r8zBg+ETf+1aifr1NTZsSMXnk+jWTfQ1po0E/vhDOKgGDUw6djTZulXm4kW4fh02\nbxaOFODddw0MAzp0sNG/v0p0NAwc6L2VMrNYuVIKPk+bzUbr1g4SEiQGDRJpydq1LbJlE8TaCxaE\nPkZJkujc2ceMGQqXL0OzZjaeeMKkUCF4553QccWKid7PrVsFAveBB5K4eFGhbFkYODCV6Ggh5mxZ\nwhmaJtjtJikpUjAlmC+fuJeFC1MZO9ZL7twSU6dG4feL1pcpU5zExUVz6JBC2bI6BQoYqKpFjhwW\nxYtbDBsWngIdNcqBrsOHH/p4911fsLaakCCTLRtBAExa+/lnmTx5RKox19JLRwAAIABJREFUM9u/\nX+bBB80wMWhJEjJi/fv7ad3azcKFKlWr6tymWsD69SK6DKyHpUubPPmkxhtvZFzUFi2y0aaNzuTJ\nomYaYPRp0ULn7bdzoKpQrpzoqz10SKFGjRt89pkNm81Ekiy2bg21dk2bJtLc9eoZNG9ucOWKxPz5\nKgcOyME6p90O3brpfPedjd69XdSsabB0qYf161VOnBB18cBiPnasnSJFLC5dEstc/foG588Lsoxc\nuQS5wOLF4nv58ksby5apzJuXmqH/tVkznVWr1CxBcvXq6Wze7MhwTCSh6YBlxveaVrrrdqnc/5QI\n826v48yZM3zzzTccOHCA/PnzB/srZ86cmUE8et26dVSqVIno6Ghat25Np06dGDZs2N9xG7e1+9Jh\n3mtK9k7Qr3D7ybN1q8zevRLffiuTlJTx9z17ZKpVs5BlKUy8Or16yvbtchhhwahROsuWyWEqH4F7\n3LDBnsFhulzw0ksGY8eGPmhdN1izRqJ27RTi42N48kmLo0cViha1mDtXDd7bqlUy9eqZOJ0immnX\nzmTGDIXFi4XySGDhjoqCli3NW/R9JvnyWVSpIgAjHTpozJ5tomla8HnOnauQN68V7GuTJBg40CAx\nUcqQlu3Sxcf8+TLt29vo2NFk+HCDZ5/V2bBBTkOybfHyy6lMmqRQp47G/v2xNGwoiARmz3bRrVsq\nXbt66NXLG3QQfr9Q3AjY5cvivO3bu/nHPwQ9YKNGOleuJDNkiJ/kZAmbzSJXLotLlxS2brXRubOX\nuXOvcuWKRLVqKWiahtcrehTnzlV5/nk/bdqE9zj+9JNCvXqZ9z2KyDNyT+TWrWrEVO5zz2m88oqf\nYcOclCt3e3ThunWivprWhgwRZOnphZV//FGlbVudTz8VxPKXLkm0bq3z1ls+duxQqFhR1IpXrHDT\nsqXB7t3Zcbng3DmFxx7zcfq0zNSpBmvXakyapBITY1GggIEsW/Tr52f0aDtPP62FMel07arx1Vd2\nJMli/nwPhQsLvtnYWCsYQa5ebWfnToV//MPHrFnib6oKHTvqwUi0WzcRcc6bp/LVV3YWLPBkSujx\n4INWEMQUyUqUENiA48fDj6lVy2DvXiVIwn87y4qqLrNUbsB5/pWqI3dimUWYd0MCU6xYMUzTJDU1\nNay/8vHHH88gHj127FguXbpEcnIyJ0+e5O233/5LmNnuxe5Lh5nW7sRhRkq/ZjbWndjhwxIdOghV\njzJl7IwapYQ5zl27JKpVE04lJSUlKF6dVj1FpOikMMKC7Nnh/fd1XnlFDdPy8/sldu5UadAg40f1\n7LMG69fL/PKLYEDavz8F05QoWzaKBQtUevQwWL1apk8fg4kTQ8jLpUtlWrUKjRdIy86dK+TIAmZZ\noqk7Nha2bZNp1swAxM65ceMbrFvnQFHE8/R44KOPVF580SA+PvR8u3QxOXdOuhVBhK49f35BfRcd\nDW+9JW74qafEub/9VglSIBYo4KFtWwPTVFmxQqZdO41Nm2Q+/tjPypVuVq1ysmuXjYce0smXT4yT\nmpp2UwUuV2iOXL0qsW6dSmxsNEOGOPD7BcglMVGiZk2DhIQUvvjCYNeubDRrpuNwyFy8aPLYYy7O\nnTPJkcOkfXsPup62pcRi82aFOnXurX65ZYtCXFzk3599ViM21mLRIluWZAyGAZs2ZZTzcrvhk0+8\nvPaaM5hGP3tW4uxZCcMQZBiBKP2NN/z4/aL2HfhM5s+30aGDxuef22nSRKjM7Ntn5/ffZYYNi2Xw\n4OxcuyZTsWJIwqt+/WROnZJ57DFf8BsVkbloKXrqqZB49Isvio3L1KlC1HrIkGyMH++lY0edXbsU\nfv9d3HO3bhozZ4pWoZYtxW+DBjmYO1c43kjWvHlIazNzs6hbV/TWiucg0NQulwAF7dx57wt8Vqlc\nEOvTvaRy/4xl5jD/U6Ldv9P+5zCzcJhZpV/vZTwQH9KJExKvv24wa5bOxo1+zp6VqFzZzuLF4nXs\n2gVlygiKELfbnal49dGjEnnyWOTJEz5+t24iups8OfRqt22TeeihcERqwLJlg+ee8/PeeyaGYbBz\nZ3YaN7ZYskShWjWRDj18WOKFF0w8HtGWoGkCcduiRcgx1q4taOc2bw53pF98IRYQyxK1wh9/lLl5\nU6QoS5bMRrVqFitWiMVk8mSFatVMnn/eZNcuiStXxBhOJ/TpI3r1Zs8O1YPefddF7tyi1hh4PAG1\nlM8/l7l+/WYQ0TtihMHmzTIbNwp2nS1bFM6fFxRrN29KPP20l927/SxZohEVBdWqhQSdA44AwOsV\ntcxAP6AkEQQO7dx5nWnTksiRQ5ChL1mi0qaNwaFDTlq2zEmDBhYff+wnJUWmbFk9mG4T4/rYvFmh\ndu2MQC/LIktnahiCcD1ShAmih/HaNYnOnTV69MiRaWYDRO28YMHM5byaNTOoXNlg7FjxDSxapNK6\ntc6IEc4g2rhQoYAWpkpUlNDu3LrVRkKCiNoTEmQmTBAbr88+83H+fDK5c1vky2fx6KMGTZtaQUDR\nggVRlC5tMHOmQkpKCikpqbz4osrp04Id6PDhkBNyu2HMGB9//CHRr18UjRv7adDAICpKaJHOmyec\nXdWqJm63xZYtCmfPilJD+/Z6WC01M2veXGfFiswdpqaJNPbvv0u8846DokWjKVIkmpIlo8mfP5rj\nx2VWr/5rI6JAKleWZex2+12ncv9q8/v9GUhS/hvtvnSYd5KSvdP0a2ZjZzUpDx4U6iOBFFPJkjBl\nis6332oMGaIwYIDJ7t0ytWvbUBQl4jm3bctcMFqSYNw4nTFj1KDDWb9epX79jDJGAQ3QXr1usGqV\nk8TEbKxfr9C4sWDg6dlTRJ+1allERcGAATpTpkSxdauA5qfliJUkqFTJInduK1gD2rdP4qOPFKZN\n0yhVyuTBBw0efFDj008FA5Esy3TrZjBnjgD/fPqpwvDhQji4eXPBIxuwfv0MzpwRSOBAo/z8+XYW\nLdLYs0fUJ0EgiPv0SSY1FbZvj8V1i0qpQAGDp57ScLksRo8WUeHs2TLTp18jXz6LhQtdyLJEmTKi\n9njzpszZs15u3PBgtwvnGEjTdunioUePVF58MYUlS27y0ks+nn1Wo0wZW3ARS0y02LNH4cIFky5d\nXLz7birDhnnZuFHIZblcoXQbwLFjNqKiLHLlSs3AvHPsmCD3LlYs83l1+LBMvnxmkHc18/miULWq\nwVtveSlXTufppzPX/Fy7VqVx48iO98MPfUydauPnn2V+/NFG3boGR47IxMRYOBwWvXoJQNHcuYLM\n4bXX/LzxRnYaNTLo3dt9yzmKumCjRgYuF/Tr52fHDoXr1yUefdRAkiQ8HpmpUx2MHetjxgw3uh7F\np59m5+efbdy8KfHBB9fZv1/iyBF/8Dl16aIRFWWxYYPK22+nBK+5e3eNGTOEk5YkgVieNMlGly4u\n+vf33xEbT1ycwfHjcjBSBZFpGDPGTrlyUbz7rpMyZQx0HXbtSubq1WQuXUrmt9+Sef99L9u2/T3K\nJYFI725TuX9WQPp+lPaC+9RhQmR6vDtNv2Y1blYOMzPAj2VZPPpoKsuXX+HXX1U8HgmXS83SQW/b\nFlkwulw5i+7dDUaOFB/punUKdeuGHGaghzOgAVqsWAx9+xqMHauyaZNM2bKi5ti2rcnq1YLmDgT5\n+ZYtdmbNCo8iA5aYKHH1qsTNmyKS7tNHZexYjXz5vJw5Y/HHHzJffgmzZjnYs0dMvXbtTNavl/ni\nC4VHHjGpXFk8m86dTebODT33IkWgUSOTxESJJUskXn3VybffJlG0KHToYPLDD3KwHtK2rYWuS3zy\niQ3DMNB1neRkEYVcvSqxdq3MK68kU6SIRdOmDj780M++fTKffKIiSdC9u8G5cxIXLkioKvTpowfR\ntKKf0M7XX8OIEQZVqhhMm2ane/frJCcn4/f7sSyLxYudxMTAd985WbYshTZthLblmjVi85J+x791\nq5OGDY1MRX7XrTOoUcMXMVLIKvoMHaNSp44A8nz44U38fhg6NCOIZ906IeocyfLntxg50k+/fk6O\nHZNZskQIit+8KRbtTp00jh6V+eMPibg4g4ED/Zw+rbJsmaDBW7MmlfPnJZ57LoTUTU4WTFKnTslU\nqCDm1bRpNuLiDOrVM2naVOeFF1zMnWunVSudcuUsWrWy07OnzrRpUcHndPlyKqYp3n1qqhl8TvXr\nG9y4IbF/v5hzbdroLF4slFXeftvP9etSGAlGZuZwCHKKVatE+WT0aDvVqkWRmCixcKGH1auTGDky\nhZIlTU6fDs1bu10Qxx85krEf+e+2vwuVC5k7zOjM1AL+y+y+dZgBCzi4e0m/ZjVeJNu9Ww5TIElL\naVekSDb69BGRRMOGNs6di9ymsn27TO3akc8zYoTB8uUy69ZJnDwpUa2aWKACICKfzxckoZckiZdf\nFpFewYIWq1crtGsnJLJWrQo5zGzZoHPnVBYuVIIo2IAlJsL+/RKNG5vMni0zYoRChQomrVpdZ906\ni5w5ZWJi4PRpmffe8/Lyy1FomuCWrVfP5JNPFIYNCy36LVqYHD4scQsoB8Dzz4vfBw60MXiwn8qV\nA/yjPqZMkdA0g+zZs5M7t4NWrQx+/lli+3aBgKxY0c3RoxK9enm4elVmwAD46ScbyckSrVubyDJ8\n/73KmDE2OnbUb/WeKreuRdTchB6nxYYNIhqy2WwsWxZFhQoW1aqJxUhVVbZtkxg+3EHhwhrLlydS\nooT/VgRgZ9MmG02bWkHif+0W3cyGDTJxcf7gjj8t886uXW7q1bMyqGoEotCffpLDKPYys02bFOrW\nFc/PZoPvvxc9kpMnh9Joot0l69SueN4aKSmCCnDpUhWbTYxZsqRJyZIW8fEqBQta1K2rM2uWDU0T\n30W/fn5WrFBRFII1UsMQzrFTJw1ZFjVPvx+++MLOK6+I1H1cnNC9/OqrVCZOtDNmjNj89e2rMXOm\nHU0Tz2n06Jy0b6+TN6/JG29kC0qeeb2pPP64h6lTVTTN5I03HBQoYFG0qGgjCtQ1b2ctWuhMnmzn\n0UejuHBB5qefUvjsMx9ly4a+hUaN9AyECC6XSPFnhZa9V7vbFOufReVGsv9FmPeJSZLgyryX9Guk\n8W4XYT7yiBVMh6akpIRR2u3eLdGnj8mAAQZt2sTw668Zr+PyZdHWUbp05PNkzw5vv63z0ksqcXEm\nNpsVjMAyAxHlySMiU7sdpk+X6dnT4JdfxLkD55EkicaNfdy4QQaO24ULBTNQv34Gn3+uMH++zOjR\niTgcDmbNysYzzxg88YTJ9OkKnTtr5M9vMm6cWEBy5hQLbiC6BLGjb9s2PMqsV0+IP1+7Bv36aUFQ\n1EMP3SR7dondu2NukTSYdO6sIcsSjz3mYssWhfj4m0yYkMgnn/gwTfjXvxzUqmWyfLmC0ymc9ksv\naSxdqvDppzZcLpg1S8E0Ydw4G7Gx1i2CA1Ezff11scD+858q/fvrSJJEUpLCsGFR9OmTHcuSiI/X\nyZFDsOP4/X42bfJSsKBOzpy+II2ipmnYbE62brVRr54gRE8rbK7rYqGtV8/MoKphswnwytatKlWr\nJgUFpdMvcteuCfRmoEcTxEZl1iwPH3xgZ9Mm8Yw3bRJk65EEAQImy+L/P3JEDup+5s9v0qWLhmVB\nfLyNlBQxd/7xDwfNmnnx+wVF3dixdvLksfj2WxuLF6t8+61KvnwWBQtaxMZazJypMneuUHapXt3k\nl19k3nnHQa1aBqNHO+nYUefhh4WDKl5cEEdMm2Zj6VKVrVtV3n3Xz9ChqSxf7sTvdwcjqh49hHTY\noEEKiYkmH310g0mTVHTdoHt30RuaWYo6YFevihaX/ftlvv7ay8SJXooWDc3XQMTVuLHIIqS3hg3D\ntTX/Svuzovf3mspNe96bN2/+z2H+N1vAUXq9XnRdv6f0a6RxIznMGzdEc3aJEp5gOjQQyQYm3+7d\nMo88IoAvr77qpW3bKE6fDh9n2zYh5yXf5u317m1y/bpEdHRgNy8isMxARCB29seOSSQnS9SubQXT\nsWkPPXrURpEiFtOmhZ983jyFzp1NqlXzc+qUxIABqRQvHkNSkpPVq2Uef9zkiScMFiyQ8Xolxo5N\nYdw4hYQEWL1axueD334Lv57u3Q1mzw6dZ+tW0SfpcsGaNQRRprGx2Xn6aZMpU2Q0TWfhQok333SQ\nlASKYjFixHUefthPdHQ0UVEOWrQw+PhjG02a6MHezhYtDLZtU1i3zkt0tABy7N4tM3asADk99ZRg\n0Dl1Sr7lFFS2bZO5elWibl2DL75QqVLFhc8HI0f6qVfPJEcOKczJbd0aQ9OmYmENzDuAPXss8uc3\nyJcP7HY7drsdVVVRFIXjxyUUxaJwYX8YsbdlWaiqyvHjLnLnhhIlXDidzkyj0I0bLR55RMdmC5+X\nJUpYTJni5emnnZw6JbFmjUKTJreX87p8WeLkSRmHQ2xgRJpapmNHnQMHBE3i5cvCOUZFiTkDAil7\n8qRM/vwWBw7ITJ9uY8QIJ7/8IvPddzaaNdMYPdrB2LF2Bg3yk5go0aWLi3fe8fHii6LO+fLL4T2t\nL77oZ/x4Oy+95OCbb8S769nTT1SUxeDBzmBEVayYSv78FitWuJkxw0uzZha6Dhs2mBQqlETBggYr\nVpgZeHIB1qxRqFXLTdmyJjVrGkGUcGZWq5bBiRNyBiRyo0Y669b9PRHm3yUgnVUqN5CRO3PmDB9/\n/DGHDx/GmV5F+7/Q7luHGUi/KooSnBx/hWXlMHfuNClfXsM0/WHp0ID5/XDoUKjG+fTTfgYO9NK6\ntS0I4IHIgtHpzbJMZNli3TqFpCSJ6OjoYA9nertxQzjLUqUEYlGWCatfBmz1agfPPKMzfnyodeX3\n3wU3bp06Nxk1SqJsWZMTJ1zIssz06QqPPSZIxgsXFgQLS5aoFCtm8vLLBk88YaNSJUF+MGtW+IJS\nt67F779LJCRIJCfDM8/YGD9ekHlPnixAQ1FRUUiSRJcuflauVGjUyMV77zn4+GM/vXr5qFhRY8KE\nkP4pCEfsdlt8/73KihUKXbva+f57hXnzFHr0sON0WrRqJXQzx4yx0aKFToMGOr//LgWJzyUJnn7a\nRv78FhUquNixQ2bhQi9ffKGxdq1Cu3YZHc/q1QoNG3rQNA2320327NmJiYlh61Y39esL1GxycnJY\nLXTzZjv165vY7SEQWNoodMMGiIsTC1hm2o42m42ffrIRF+cLRqCmaQaj0Hr1dF5/3c/jj7tYvVql\nSZPb92kuXqzyyCN6kHTf54NKlQwKFrSIj7fx0EMGfr/Y2Fy/LnH9usySJal07qwjy/DBB17Gj/fx\n3nte3G6L9etTuHZNYutWlZs3Ja5ckahRw6B3byft22s88YTON9/YqVDBDPZZBqxaNZOkJFEvDfDs\nit5dD/Pnq0F2ovh4lStXJHLksMiRQ8Zut/Hcczrffy96m3v00Jg924lhGHg8nluMWh5GjlQYONDJ\nlCkeRo8WvbNLl0aOFO12we6TPi1bsaLJtWuiDef/R0ufygUhSm9ZFhcvXmT69Ol8+OGHVKpUiX79\n+jF58mS8EZpP70Y8GuCzzz6jQIECZM+enb59++L3Z82F/HfafeswZVkmJibm37IrClDabd2qU726\nRbZs2cLSoQE7eFBQ5gVq56Lu46NzZ5OOHW1BJYitW2Vq146MbguAevbtS0ZVoWVLi3HjsmWZKt60\nSaZ6dUEYcOyYxIkTIqJr1Ch0nmvX4OBBsdDkyWOxaJGow82da9KokZcTJ2wsXOhm+nSdH3+UuXoV\nvv1WiEQH7MknDaZPt2NZFgMGGBw7JlG3rknPngbTp8thTCmKAl27GsyYITNsmGi5aN78Gl26+Nm4\n0cGNGyJldOGCweDBgle2QAGLTZuSqFHjOl26eLl82caSJXbOnZM5elTihRfsvPiincuXJY4fl9E0\nQRQRaBFZv15h5045KA0VFSVaNvr0cXLxosS1a6IX0O+Hs2dl6tc32LDBy/TpfipVskhOFsCZNm3C\nHc+FCzonTkjUqKGTLVu2IKgnQHTerBlBgXHTjOLkSTt794pU94MPerhxQ/RtSpIUFoVu3mynbl0t\nXRpXD6ZkA8c0aiQFHWjA6QZqfL163aB4cZ3ERIkHH7x9hLlwoXqLShDy5LEwDKhdW9R558xR2bhR\nxWYT5OcNG+pUrapRu7bJif/H3luHSVW///+PU1NbdEiKICCIktLdndJKKRIqIaCICSIgoHQIAtKI\nNJJLKikp3SUSUhuTJ35/vJjZHXYX461v39+fn/u6vLyW3Tlzzpkzr/t11+N5TqRwt2wRz/6MGTY6\ndgxgWRLZslns3esmQwYTt1uiQIFI/H744AM/q1er/PKLxJdfepg4UQtj437xhY1s2UzOnw9/dl59\n1YMsw+DBdmJjFQYOtLNypYdAQGL3buHMmjULEBsrrqVVK4Nt22y43WKzkZgYQZs26Tl0SGXTpjuU\nKBFHYmIitWolsnatis8XXtdLHunVqWOwcWP491uWoXr11NO1/4n9kwLSiqKQN29exowZQ+fOnZkw\nYQJffvklzz77LDt37kwzW/dHxKM3bNjAyJEj2bJlC5cvXw4JU/9T9q91mMH01d+liQkpkXY//eTi\nhRfkNB9wASKwUhzrww8NChWyePllIW107JhEqVKpn3MQzO73+9m7N4aaNS2GDTNYvNjJqVNpn3ds\nrEzu3Bb58ll062YwYIDKs89aIfkpgA0bRGNKRAT06WMwdqxMXFw8336r0LKlRL9+kXzyiU7BglC/\nvsnHHysoCmHRcMOGJseOyVy+LLN4sUyxYhZffqlSooQAvR8+HH5v2rc3mTVLYfVqiQ8+eEBUVBT9\n+4u/WbTIxtixUKaMkyxZLFau9PDjjxKJiULqrHJl4USrVNGpX99O/foOcuY02b3bS8mSJiVKiMam\nQoUsYmN99O6t0727TvPmYlTC6RTD5/v3K4wd6+eVV3See84MKY6AeO2TTyZd3/r1Ci+8YIYwgpYl\nasfr1plUqWIQHR1eH3e7hWboyZMybdrYyJ/fSf78kXTsGEm/fjHs2mVj6tRI8ufPTPXqMQwcqLF5\ns4+4uATcbj+7dilUqWKhaRqaJsZagnVcwzC4elXn+nWJYsVEFCrL4vlzOBzJ6lU2SpcWkPXPPpNC\nkajf70/R8HH7tsShQwpnzsh4vaLRR1WFbNfcuQo3bghgwbx5Xg4eVDh/Xua11xI5e1Y0nz3/vMnM\nmRo7dsgsWKDRtWuAffsUypQxWLtWJXNm0YSTmCi6Zvv1szNokJ0xY3wULmzRtq3OsGEiG7Rzp8KU\nKRrLlwvnuGaNGrrnUVESHTsGWLVKpVMnB/PneylWzKR7dz9Tpmj8+KNMgwYucuQwmTjRRvr0ULOm\noAAdOCBTrVokL7xgsmKFj9y5hRN1OBw8+aREzpwG27aZYXW95GncOnV0YmNT1kRr1dL/8nnMf8JS\nWy8TEhLImDEjZcqU4fXXX2fOnDlpzmX+EfHoOXPm0K1bNwoXLky6dOl4//33mT179l96PX/E/rUO\nM2h/l8MMjqcEkXYuVwQ//ihTpkzakeHevSl/L3aQMGmSzv37Er17KxQtmhLcHmyACYLZo6KSZiqz\nZYM33khkwAAbaV3q5s0SN29C27YG/fqJ+ctHz2XtWpnatUUnZ+3aidy5Y7FunZOTJzWuXFGJjhYO\nDqB7d4P58xW6dg2vgdrtQili3jw7o0apjBmjU6KEyeefK7RvL6LM5NeUPbubBw+gc2c/uXKJGnP+\n/Do5c5oMGxZNbKzKqlV3GTjwDkWLPiBPHoPY2KSGpqeftli3TqTmVq3y8vbbOjlzWrRoYVCkiMnQ\noX527JC5dk3UMb//XmwcsmSxaNlSxzTFAjh8uMatWyJduGeP2Ag4nRYffRS+KCxbptC8uVgpA4EA\n8fHxSJLEjh2RYaCH+Hj48kuV8uXtBAJw5oxMixYGsbE+bt/2cPiwl6lTfeTLZ3Hxopfr1z18/rlO\ntmwq772XjnLlsvDRR5Fkz24SFeUOaZQ+GoXu2mWnUiUdWbZCIzbBhqPkUeiOHXY++MDHrFmR7Nwp\n7rNpmqEoNOgYVqyQyJZN1M8zZLD46SeFihV18ua1eOMNJ5GRQnPSsiAyUjRIVaniZ/58jUKFTCpX\nNvjiCx8vveSkVCmdPHks9u0TDUkjRtho2jTApk0qFSvqNGmis2ePwoMHUoi0NGiQjzVrhMh2t24O\npk3zkiuXxTvvCEB88rHCWrV0/H6BrQumaxs2DLB+vUqrVk4GDvSzfLmHhQs17twR3b/jxtlo2dLJ\nqFE+3n/fHyIVBet6mqbRtKnJ+vWRYXW94L1NTEwkfXoPuXMb7NoV7lxq1jTYuTNJtuw/tX+arJN8\n45eQkPCntDDh8eLRJ06c4Lnnngv9XKxYMW7evMm9e/f+1Hv9p/avdZhpzWH+FRYcFUnejXr1qlhE\nHsq6pWr79skpIsyg2WywaFGA9euVMHHdYCv4gwcPsCwrBGbXdYkdO5LkvLp183DtmhSiCSW3ixdF\nrWnPHoG1y5RJpCLPng2vr4qaplhALUvnrbcMhg93Ub26yejRChMmJOk4PvmkhccDWbOmvLedOunM\nmuXkySctypWz+PRTncmTFapVM1iyRMHvT4qUhw61UaSIyYULIqq4c8egd2+Nu3dFA9CwYTpPPy3S\nUna7ne7dfUyZonLtWjytW8tcvGgREWHx1lt+RoxIcm516hhs2KDQvbtBzpwWzZo5eP55kTbs08fG\n3Lk+pkwJEBkpIAmlSolU4a1bognnqadMAgGJS5ekELw+Lk6kdBs0CITa8l0uF6rqJDZWoU4dAf8e\nNEjjmWecbN0qU6iQxaBBAaZO9dOqlUHevFboHgrNTLHQOxxQtqzJoEE6e/f6mDfPz86dGleuKCxc\nmB6XKzqkV5m8FhobK8hGwWYgwzBCi7xpmui6zv37Ispr0sTH7NmaKNUvAAAgAElEQVRuevZ0cumS\nLSwKDb5m+XKN69fFvW/UyAtYFC9u8OOPIiVaubJOiRIGy5ZpD2uJPgwDFi4UP5cpY9CwodhQ3Lgh\nUuL79ikhAP7UqTamTPEya5aPFStUrl+XGD7cR6tWTiZP1oiJEVzbtm2ddOkSoHp1cX/q1TNQFEEf\nAiG23auXg8qVDc6fV9ixQ2HOHI2qVSPIn1+whFu2FJunxo0DTJliY/VqsbEaO9YXOsfUrGnTAKtX\nqxhGUl1PVVU0TcPpdKIoCnXr+li9Wg7bbERH+ylYUGzK/kr7b6dk09LC/CPSXkH7LfHoRx1xsBM3\nPi1U1d9s/1qH+aj9FU7T7/fj9XpDjit5N6rYRYdHW8nt1i0xKvL00ylTskHLlAkKFxYKD0ePSiFW\nqtvtJiIiIqypZ+9eiaeessiUSbzWZpMYPdrHgAFqii6/2FiZp56yqFDBJHNmuHRJCCPv3i3z5Zcy\n27dLLFwokS+fQaZMOjabjcjISDp0gEuXJC5elOjSxaBgwaRznTdPoVw5i6++SpmCevppC69XompV\nsdjlySNmLKdNUylUyOLbb0Vk9tNPEaxc6WT27ADr1snMm2dRurQTVYXDhz1ERFh8+qnY+UdFReFw\nOGjeXOHqVZU6dbKQNavM9u3x5MtnkCdPInv2SOzYIQAATz0l5v5OnpQYMiTAnTvQpYsNWRaRSfHi\nwnE1amQ81G8U2pi5c1vcvi2RPTukS2c9lEkTznzNGgFI17QEJEk0WYm5TJkcOSw++shG2bICI7dr\nl5cFC/ycOydTu3bqWYdt25RU+b8gml0yZoSPP/azfLlClSpOTp5M6moMZjV27LBRsaLomNV1PTT/\nGYxC7XY7u3c7KF5cJyrKonRpP+++66F1ayd374ZHoffv2zl4UIyMyDI4nRJ+v8Ts2TZU1SRnToMt\nWzSyZjVYtUo08LRsGWDzZju5cgmI/wsvGGzerJA9u0X27Ba9e9u5elVm9mwNn4+HAtoG0dEWkZEW\nliVRtapObKybRYs0OnVysG2bQkSE2AglfVfgww99vP++ndhYlXbtopk0ycvYsV58PosWLZwsXKiy\neLGHFSs8rFqlcfOm+DK2axdg7Fgbly7J9Ovn/81u1qeessiRw0oxV5l8RKNJE1i/3onLFS68XbOm\nh9Wr+UuYr/9k/fJR+7vEoyMjI4lLRnwIlrf+jHP+K+xf7zCDWKn/xGEmpwPZ7XYURUnRjbp/v5i/\nTMv27RNNN8lflpJCJLQ0P/kkwIsvKly5Eh+CLDxaL4iNlVOok1StalCqlJlCAzM2ViYhAUqWtOjV\nS6VcORuJiQJq/tFHKh99JNO/v8pPPym0aZORr75ycu+egAoEnc7bbyfV9UxTCDR/9JHAuj0qH7Zo\nkUru3AY//JB0Hv36GezdK1GqlJu5c204nTG88YaTkSP9REXpRERYvPuunTlz/IwZ48XhSKRzZw+b\nNjkIBJI2JseOiY7amBiYMEEnOtpOhw4W69dH8/77AYYMicIwLHw+L1WrelizRqdWrUTcbomDB2XA\nCs0QArz2mk5cHHz0kZ+8ea1Q49UPP8i0aycW9t27Ze7dM1m8GBo3dodYqJIkgPF9+9q4cEEiZ06L\no0c9fPppgFy5LK5dExFr8eIpnaLXK+AUlSun3rXqdotmpY4dDb77zsdrrwVo1MjB6NECSSdJEmfO\nKCiKRZ48flwuF9HRqUeh69ZJ1KoVCKUcu3Y1qVZNp0uXSPx+M9RQtGyZ0AlVFMFnXb5ckIIqVjRw\nuWRef91PnjwG332nYbebdO2aCPiYN89JnTo+YmJEqnviRBu9e/v56isP+/craJqg/RQubNK/v+iA\nHD3axlNPWQwZ4qNNG8EM3rDBzcmTMlu2qEyZ4mH0aBvnzyd9VtWri8+jS5dopk1L4N49iY4dnTid\nEBFh0blzgBIlhGJO69YBJk4UM6idOjkpVMikZEmDV14JsHKlALg/zpo3D4TEqCHJeXm9AhKxdavC\nnTsSdeu6qFcvkqZNY3jppQycP+9gzRonqqr9I8zXv8JSc9R/NCX7e8WjixQpwuHDh0M/HzlyhKxZ\ns5I+NTD2f8H+tQ7zz0p8JbfU6ECapqV6rL175TBlkUdtzx4pBeru0fM6elQie3aL1q3vU7Omj/79\nM+JwpA5Z2LxZgAQePdbIkTrTpyucOydeo+uC5nPqlMTcuQp581o8/7zJtGk6hw97cDhMBg6MI106\niI0N0LWrlz17FAoXttGxoxbirCZfuGJjJSIjLSpUsOje3WDChKQvQyAAo0ZpDBsWz5EjEufP87Bh\nIpF3341j82Ynhw9rvPuuRt68JqpqUq6ci9KlBRC8ZEmB8tI0jb59RRovGMXu2SPTpImDL74IcP26\nFEopt2ghmi0aNTJRVYnFiyMfauspbN3qJCZGIl8+HV23qFDBx3ffKZw4IWYeS5QQbNs5c1TGj/fj\n94toJjJSgOYNQ7xHz54ye/dqNGumoqoqx45JdO5so3p1B7duSSxf7mXIkECYpmhsrEy1agaprRW7\ndskULmymCswP/v6550yiosT5vPSSwQ8/eFm/XqFpUzs3bxqsW2dQtWqAqKjIUHds8rGTYBS6aZOd\nGjV8eDyeUC106FAB/3/vvchQynHZMgf37glVkjZtPNy8KdGoURIHtnFjk6tXFbJlExjE+vUtrl9X\nOXjQRkREgJIlfRw44OfECYmmTT1ERprUrRvg/n2hDjNpkpBY27tXZuZMjUmTvHTvHqBcOYPWrZ18\n8omQEBs82EePHk5atNDp3FmIdhsGvPeenRs3JHRd4rXXIlm8WOOTT3xs2eImEIAPPrDjdov716uX\nn2nTNDp3djB1qpcFCzxMny4yDNWq6SFJsLSsRQudVas0vF6Ril+82E6bNpHkyxfJhx/auXJFpkwZ\ng+zZLT780M/bbwvR9GLFBJ7wxAlbClBAWiSntJiv/0sRZlxc3B+K+n6vePRLL73EzJkzOXnyJPfu\n3WPo0KF07tz5rzjlP2WS9b+8lfkbLTiLBiLMD2LNfq8FOYyyLONyuUI7pOC/J99t+XyQPbuNK1f8\nKcRpg1azpsagQTq1aiV9HMEmgpiYGEzT5IsvTE6ckJg0SQds1Kxpo3lzk759w6OQu3ehYEEb1675\nCT6LCQkJIZrHF18obN4ss3p1gH37JOrV03j+eYuNGwMYBuTKZePQoXhcLjcrVkQxYYJYlI4fD5CY\nKI7z4IGdwoVteL1QsaJIjy1bJuo+LVqo1K9v0rWryZ07UKSIjYMH/TzxBMyeLbNggcySJb8yYkRG\nDMNk8OC7D+e7XFSvbsMwLH76SaZOHZ1jxxSmTfNTsqSfYsUi+OqrOMqW1UIRfOPGNo4fl5k710/b\ntnamT/dRp47JsGEav/wiMWmSiFjat7dRo4aIsBs1cnDggAeHA556ysmSJT5at7ZTuLDJ5s0eChVy\nEh8vMWBAIi+/nMDrr6dn/36NGTM89O7twmYT99jrlYiONlEUi2vXFJo1M2jbVmfKFI1jx2R69w5Q\nqZJBhw52Tp3ypkjHt21ro1Ejg3btUkaRgwdrRETAu+8GUvwO4J13NKKiLAYPDq+1BQIWQ4bIrFql\n8cQT8PrrBk2bpj1beeyYxIsv2jl+XJxf8oage/dM6tePoX17D82b65QqlR6/X6AbTVOQe3LnNqlT\nx8+5cwpvvunl7bddnDsnQO+//CJTt24An09Iqz37rMGBAwpPPqnz5psJmKZJyZKZuHlT4bnndDJl\ngs8/99CgQSTDhyfVEQ0DKlZ0ceGCzN69ieTNa7Fzp0KXLg4yZ7bIl090Xt+9KwESuXLpZMtm8e23\nSd01ffva2bFDNGS1bKnTs6cYE6pWTWfSJPF3AwbYkSRo3FinTx87+/e70yyhAFSr5iI62uTQIZUy\nZfy0bBmgbt2kzvKDB2W6dHFy6FBi2HHee8+Opgkmb1oWbBw0DCPU8RxsPJJlGUVRQhGq69EOwL/Z\ngoQqZzIkVN26ddmxY8fvAr9cvnyZJ598MjSpELTp06dToUIFihQpwsmTJ0N6mJ9//jkjR47E4/HQ\nsmVLpk6d+o8po/xrI8zk9kcizLSQdsmP9agdOiTx9NNWms4yEBB/U6ZM+DkEGzOCoym7d2tUqyYY\no3a7xLx5AT7/XGHXrvD33LJFpmJFk7Q2br16GfzyCyxdKrNxo0xkJLz7ro6qwo4dJgUK6ERF+YiO\njubll1Xu3ZMeNtYkHePMGQmPB1atCpAtm8WGDaLeeemSqH22aSN2xBkzQvv2Isr0+WD4cJX33hMj\nDh06xDFvngpEPgQQwPDhPg4eFCMLGTLArl0enn9e8EBfftnP/Pnh8IWPPgpw+7ZEixZ2ZswQzhLg\ntdcCrFyp8PPP4qQ7dNCZN0+lWDExmtCvn6DQFCtm0qGDnUmT/Jw5I3PrlsJLL5m0aGGwbZuLChWy\nkjWrxI0bMp9+aqNXr3iGD79HYqIAzD94IKFpoglm7VqFESM0WrfWOXnSQ79+Otu2KTRsaKRYeP1+\n2L5doVat1J2ZoO6k7eg2b1ZSQCV0XcfrTeCDDxJ55x2dvXsVDOPxz/X69Qp16yadX/IoNHt2FytW\nBJg+PZJhwyIwDJGCz5nTz507kD27SYkSBmfOaLRvb7J3ry3UzTppUgKvvCKitjJlhJh0zpwG69dr\ndO9u4HQ6OXs2kuvXFYYMcbNmzQOeeCJAyZJR5M0boFatJNHtHj3sOJ1C/LlVKydnz0o88YRJu3YB\nTp+WWbVKCBaMG+fjzJkEVq26x7lzCuvWJX0vBw3yc+uW9FCP00mbNgG2bXOzdq0ayrYMHOhn6VKV\nDBkEIjKtWuYPPyg0by7O49o1mX37Epk79wEtWwbCxrCKFzcxTULQ96A1bhxg5Uo1zY714OeQnCcc\nZL4m714OQih8Pl+qhKK/y9KKbNOCojxqf0Q8GqBv377cuHGDBw8eMHPmzH9URuxf6zD/aEr2UYWP\nR5F2jzvW7t1yCmeY3I4ckcib1+LREkDwC+D1eomMjGLPHo1KlZKOkycPTJ2q89JLoi0+aJs2ydSs\nmdL5Bs9L08SYysCBKsuXyxgGVKkiHuA1a0zq1DFCmEBZFnWrAwdkEhOTjjNwoErRohY1aljMmaPT\npYvBW2+pdOyo0aaNESLiALz5psHs2QqTJskUKmRSqpRojMqXT6JyZYtFi+wPU1E6w4YJPmqGDBbV\nqgWwrAQsyyIyMpLOnS1WrFDDVB9UVaRls2QxwxxIpkyiG3fkSJE1qFlTYO3OnJH44IPAw6hU4coV\nibx5hYNs2NBg6VLhQPbtU1i92seiRT68XqHp+f33GosXRzJ5ciSBgIRhCOHo8+fl0DOyeXMCbdsG\nQpuV1auFw3zUfvhB5umnzRR6piAEt3/5RQqD9Ce3n3+WuHlTokQJM/S+Xq83VEN3uVw88QQ884zF\ngAF2Zs1Ke9e/bp0SNlf6qOXJA8uW+fjmG1tIseXCBRtut9AR7dkzgYMHZapUuc/338ucPq1QtqxB\n/vwKOXJY5MunM3hwDJcuyWzYoNKhg5eICD8+n0GTJi7sdujf3yQy0k7OnAp585pcu6ZSt24M48Zp\nVKniIi7OZPLku1Sr5iVDBpPSpSMoUyaCyZNtlCxpUKGCwe3bQinH4RCqNF984aZfPwd37ogMz8aN\nwkGpqkXx4iavvBIgSxaLXr0CfPSR+LAyZ7Z4+20//fvb6dHDz6RJSfQvyxK1yfr1nfTo4aBxY53D\nhxO5fTvtJVSS4MUXAyxeHL7Alypl4vP9tkJK+LGSGoqC3ctB3muwoSgovP3fEpEO2v9Savjvtn+t\nw0xuv+Uwk8MAUkPa/daxYmOlh0BzlQ0bZB4tR+zeHa48EqyNJiSIOlJ0dDQXLmi4XPBw1jdk9eub\ntGxp8MorYkGwLFG/fDT6CB43aGXLWtSubXLqlETr1gESEh5gmibbtjlp0CAJrnDhgnAKVaqYjBwp\nFt7Tp2UOH5b4/POkdODo0QaZM4tIec8emRs3kt43d25xnp9+qvDWW3EhtJXL5aJ3bzFScumSRfXq\nTnbuVFi40IvPB198oYYWB1mWyZZNQKwXLlQfnptEs2Z2XnlF59IlmYsXwz+Tvn0DrFihcvGihKZB\nu3Y6c+eqOJ0wfbqPN9+0kT+/xc2boi7XurXOokUqJUqY3LolcfWqRPHiFlOn+smWTcDBBw++T9eu\nfmrXFhQbRSHU0enzSSxcSGjHfOaMl4sXpVRFob/7Tjjm1Gz9epkaNUR3bmq2eXNS7TPYKW0YBpGR\nkSHE48aNCi1a6Gzc6GXMGI2RI1NGNLdvw8mTMpUrP14TMfnmR5JE/Q5gxIgA338fSdOmBunSRbBv\nn4bbLfHOOw9ISEhg+nSNgQM9DB4s0r3z5tlp0sRAURS6dxdp7zp1/A8biiS++kpj+fJEtm1zky0b\nfPJJJGfOqGzcaKds2Uz06RPB/v0qmTMbZMtmkC2bSaNGPmbNctO9u5+33rIzZIi4/goVdCpUMKhR\nw0WRIhEsX66ycKGXJ56wOHNGZvVqcXN79fJz5IgSQtl17RogIUE8D8eOyRw7Jocc5ZtvOujQIcDB\ng4l06hQgUyZo0iTAvHlamk6jdesAS5eGQwzEPQzwzTf/OfUnKCDtdDpDzWbBPoq/q6EotWv9tzjN\n/3OYpO0wg0i75DCA36pzPnosy4KffpLZsMFPlSom77+vUKyYxuLFSY5z1y6JcuXED4FAIEw5JWg7\ndkhUrJj6wjZ0qMGvv0qMG6dw8qTQcHxUTSS1h7lcOYEzy5vXg8vl4tatSO7dE04iaCtXChbsqFE6\nM2cqnDmj8PrrgqxToUK4ukidOkLpom5dk0qVbCFqj2VZpE8fwOeTKFxYDjUHGIbBCy8E0HWL8uVd\n3L0r8cEHXqpUecBrr3k5cULj9Olwxm+PHjpTpqhcvw6NG9t5+22dUaMCOJ3w4YfhO/mMGaF7dwEd\nAOjYUWfBAgVdFwi3J56w+PVXMSJx4oTYFNy6JdLNNWuKOU2Ao0dFlPLggcQLL9ho0kTh9dd1bt9W\niIoSWpCGIRqd3nkniujoaFwuF+vWOahTx4/f7yYuLi6ZmojOd98pNGiQlsNM25mCcIa1aiU1hwSj\nyuQpsY0bFWrXNsif32LTJi/LlqkMGKCFbdY2bFCoWtVIM3UftFmzhGqLLIvFfv58lago6NjRYMEC\nlQ4dDE6cEA45d26T554LcP68gwsXNBo10rlxw6JQoQBFigRo1cpFjRqRrFxpo3hxg0qVLHbssNOn\nj4uaNf00a+Yid+5INm1SqVJF5+OPvcye7WHLFjfr13u4ciWBM2fcHDmSwLhxCRw6pFCiRCQrV6rk\nz28wfryNJ5/MRO7c6Th4UMbjkWjZUmf5cg+VKhmMHevD74f+/e3cvy+i0dGjvfTr58DjETjG8eO9\nfPihUEhp0kQ4yo4dA+zfn0i7dnrYRqZLlwCzZmkhrvKjVqCARd68VgrCT6tWgiqU1uv+jAWj0GAq\n93HKI8kbiv6oA33UOf6b2mD+tQ7zcSnZR5F2QRjA79lBBf8meLwLF0TasFQpeOUVkz17AkyYoDNh\ngkKlShqHD0vs3i1TrpwRqo2mppyyc6ecpsPUNPj66wBjxijMmJFSYeTRawxe39KlJunSWUycGIXP\nZ2P9epm6dcNVUFaskGnWzOCJJ2DwYINXXong+HGFXr0eJRKJSDl7dosCBSxGjNBp2FBj3TqLy5fj\nWbjQRs2aBl9+mRSu3L+fyLvvqiGSyxNP6HTpEofL5WLQIHFdH38c7gTLlxe12Vq1HHTooNOtm1jA\nXntNZ9UqhV9/Db/u118PsHmzwpEjEoUKWeTJY9Gjh0ZsrMKOHV6KFjWx2YTzCLJrFy5UH4INZHw+\nHx99JNOvn5eICJg61R46j5s3JUqWFOlnvx8sS+L+fenhsRTWrLHTsqWYGYuKisJmEwzdQ4cC6LpJ\nnjxxofRZcOcfHEtIq37p9wugQfnyD8KiyuTP5oULEg8eSDz3nPi8s2eHDRu8HD4s0727LRTtrF2r\nUL/+b6/YX34pPgPhTHzcvStRq5bOoUMyui6AChs3yng8MGhQHE6nk6+/jqRLF4PoaAd79jg4e1Zj\n/nw/X32VwNGjCi6XxY8/Krz9tp1mzVzcvy+xfLmdHDlgwQIPN248YOnSBF57zUO9el6efdbHM8/4\ncTqDc6EK1avLfPVVgGvXElm50s2IER5GjYpHUcA0LQYNiuO77+6xbJnKsmVi/rRyZYMWLXScTovB\ngwVHunZtgxIlDD791IbHI2TLFAXWr1dxuyUWL3ancJRBK17cJEsWi02bUpZngvbyy35mzw7f+BUt\napIpk8X27X8elfd7orq0lEeSC5QnJiY+Fof4W+bxeP7rjUf/lP1ru2SBkCKEx+PBsixcLheGYTwk\n2Vh/uHM2aPfu3SMmJgZZlvn6a5lNm2Tmzg3vZrQsmDtX5u23hXzU8eM3iYiwpUj33rt3j+joGAoU\ncLBpk5+nnkr7fVeulHn5ZZXJk3XatQt3aB6PB9M0cTgcJCYmYpoW+fJl5pVXDO7dk7Db4eJFiW7d\nDJo2Fa+9dg1Kl7Zx+bIfm00s1lmyiC7Ws2cDZMuWdPwtWyTeektl/Hidl1/WOHRIjBC89FIEzz1n\nkjevRJ8+BlWq2Dh4MBGvF15+2UFEhEnPnnG0apWRKVPu06KFiaqK0Yxp01QGDrRx7pyHLFnE+3i9\nUL68g4QEOH06qfP03j0hcdWtm85nn4V3ls6cqbJkicL69T5efdXG8uUKR46I9NzRoxKNGztITIT8\n+S1u34ZbtyTy5xdA7zZtPKxf7+DkSS+dOtk4c0bmyBGhwtCnj8bWrTK//ioTGSkaRS5elMiUyeL7\n732UK+fg/HkPjwrhjBypcuuWxMiRnlAnZFDqa+tWJ+PHu9iwwRNiHSc9MxYbNhh88omD2Fh3aFTk\nUZs0SeXYMZkpU8K7MN1uaNvWjtNpMWWKn2eecXLsmIeMGdN+pg4elKhUyYEkQe/eOjt2yBw9KoTG\nM2a0aNzYYOBAH0WLOrl9W+bmTTcPHsg8+6yTH38UqfVixRxkymRx757Eo0ITDofFwIEeXn3VjaII\n5x2UNkt+/aZppmhqCSq0BCOroMXFuenTJx3ffmsjXz6TXr0S+eSTCCZPvk/VqgZ+v0L16um4d09i\nwgQftWvrbNig0K2bE1W1KFPGpEoVnS++sFG4sEnu3BZTp6auvAEiWzFzpsK6dZ5UG18SE+GZZyLZ\nuTMxTENz2jSN3bsVZs9O+9iPs+D69bixjN9jlmWl6Mo1TTPUjRv8f3Bm3ev1hmZ2AW7cuMGgQYNY\ntmzZf3Qe/y/YvzbCTG7BblS3250Cafdnjxf8YqelLCJJ0K6dn759E3E4TNq3z0xcXESqTUTnzom/\nz5fv8e9bs6aJYcCSJeHKDUEL1mJtNhvnz8fg9UKPHgaffaazbp3M999LYbCDVatk6tUzQwv+kiUy\nGTMK+krgkWmH8eMVevc2qFjRonJlnfffNyhdOsDMmTpbtqhky2aSJ0+Ahg11BgywU6WKi5o1DWbO\nvM8HH8TQokWAZcsikSQJn89HXFwcbdveJ106i9691YcYN4tu3WwULGii6xInTiTdq/TpoWVLg6++\nUlMMnXfqJDi8ffsKB6dpMHeuQunSDlq2tFOrlo7XCwULmmza5KVQIYOuXRPIl89k0yYHqgplyjjI\nls3i/Hkp1HRUs6bBhQvCefTsGeDiRaG6cfu2xPDhKg0aGCmcJQi1j6ZNjbDUWXR0NJGRkWzY4KBu\nXUGMiouLC81Fer1eEhIS2LhRpX59K9WGs6B9913qkaPLBd9840PToG5dO0WLmo91lgDvvCMuQFEE\noODYMZmCBS02b/Zy4oTMunUSR454uXJFoWNHHUWRmTlTpXJlg0GDNMqWdWAYUKiQ6BhVVZGOrFVL\n3Jvt230MGiSRPr2YCw1uUoMyW8kZucF6nc1mQ9O00GhFEKwQ1AtVFIvp090cOpRIpkwW/ftH4fVK\ndOiQgV69Ypgzx0716l7i4iQ6dnSQK1dEiGOrqgJyMGmSjXffFSSmNWtUTp1Ke6ls1kzn8mWFgwfT\nUueA+vUDDBtm49AhmePHZW7elGjVKsCWLWLz9Gfsr6obptZQlByH+GhD0aOblz+Lxft/0f7PYSJq\naX6/gIo/TmD591pyh/n99xIVK4Z7r6CCRXx8PKdO2Rg82KRyZYuKFW0cOpTyfXfsEI0Zv3VK27fL\nlC0r6nLhsIBAqAU9KGk2caJK1qyQN6+g4nTtKuqZQZINwIoVCs2aCQfqdsMHH6hkymTSpImf117T\nQk752DGJI0dk2rTRSUhIYPDg+3zzjYvLl6OYOVPljTcCLFyoMmqUjWzZ4JtvVD76yE2vXvcYOTKa\nfPkkpkzROXJE4fRpMaoTHR1NRISTkSPdrFunceFCIr17S9y+bTJ1ajzdu/v4/PPwDc3gwQEsCyZM\nCP93RYEaNQxmzlRp3FgAub/5RiiQnDnjZcaMABUqmBw8KPPBBzKtW3vYv99F+fImXq/EyZNe5s3z\nER8vmkFeesmGYcCFC8L5Nmyo89NPAvrg8YgPaf58lWbNUvJIL16UuH5ddMBevCixa5fIQHz3ncLW\nrSpr1tioXl0O3QO73R4aHTAMk3XrbNSs6U6z/hQXJ4SvgwzaR81mg9mz/fh8Qpvx0RR2ctN1QtzT\nxo0NBg0S4IBWrXS2bZOoUsVP48Y+atUS/MWBA3Xi42H0aI1t28TzZxgita7rEhkyWJQubfLTTwrX\nrkl06aJTtGg4CjKYPgyWJYLP66N0Ip/PF4owg0otsiyH7olpmuTK5Wft2gecPh1H69YBXC749lsb\nEya4OHXKTtmyAkqfPr1FuXJ+jhwREfChQxI7dtyjUycPCxa40XWLN95IO4rTNOjRI4FRo+ycPSvx\n9dcaffvaqVFD1GMLFYpk2zaVb77R6N3bQefODsqXd1G4cM+mPWwAACAASURBVCSybDF58j83JpGW\nPap/GWwoUlU1NKt77do1ypUrx4gRI7h9+zYnT55MFbCQ3CZOnEipUqVwOByPBRDMnj07hLwM/rdj\nx46/+jL/sP2rHaZpmsTHx+P3+1EU5bECy3/UhLAq3L0rUaRI0qIQBKUHnfPu3RpVqli8957B6NE6\njRppYYB0SZLYuVOhUqXHP4gg5Lfq1jWZNy/A6NEKP/wAiYmJJCQkhEgiwbroxo0yzZsnLaqXLokR\nj27dRGPIjRti3CVIC5owQaFoUZOrV2XGjk0gPh7GjRPHGjtW4dVXffh8YuQmf/4oPvhAp107lcOH\nJd5918/y5V7GjdOYPVvhpZc8bN6ssHNnNKtX25g0yY/TCX36JDXoBL+wbduKumiTJpk5ftzOggVu\nbDaTDh3iWL9e4dgxsesNBALkyWNQubLB+PEaQTEDy4LPP1eZP1/FZhPjBbNm+YiLkyhf3gwN69er\n56NUKS+mKbN0qYv161V++EHB4RCp1uLFLWbP9lOxosGOHQpVq9qZOlUILluWiOq6dNHJlEl0zOo6\n3LkjnGcgAPv3y4wbp9KmjQ2/H3LmdFK/vp1339UYP15jxgyV99/XSEiABg0c5M3r5MUXbYwfL3P5\nskRUVBRXr4o0f7FiIiMSpEwFo7BAIMCGDSKjkdbMb/Ce3L0rUbeuQe3aDq5eTX0n9vHHYuPhcomR\nC10XCiSVKnmZNUuhU6cA/ftLaJpQzylRwkm+fE78fuGYL1wQDqhqVYNDhwRY4P59MdaTMydpcnKT\nW/A5SE4nCkahwXuQPAo3TTPU6BKUO8uUyeSzzxI5d+4uCxYkYLdbnDolY1kSuXLBzZsyO3faGT06\nwIUL8RQtavL++xH4fH4KFYpnwoQH7NunMHGinCItfOOGxIIFKgcOaGzcqFKvnovt2xUKFDAZOtTH\ngQOJXL+ewMmTibRsqdOsmc6+fW7On0/kwoUERo/2Mm+eloLv/Hvsv9mZmjwKDcrDZcuWjXHjxpEr\nVy6uXbtGw4YNyZAhA7Vr1+b69eupHidHjhy89957dOnS5Tffs0KFCmFzmpUrV/6rL+sP27/aYSYm\nJqKq6sOh+b/uwQse6/vvxeIly0nAA7dbsEYjIyP55ReZBw+EpiJAs2YmK1YEeP11lTlzgh+NxPbt\n8m8uLpYlHGadOiZ58lhMnOihQweVmzclYmJiQjqJIODqd+7AgAHCYRoGrFsnM3ZsAI8Hhg1TWL5c\npGOdTgGGHz9eIU8eweCMiIC5cwOMHauwbBmsWyfRvn18aOQGRLr56lWJF14wuHlToW1bB9Wr+0mf\n3iAiQmbbNjuvvOJk9mx/CBf3yiuikeTHH8Mfy0qVDC5dkhg1yk/GjGLHmyNHJF276kybFh2KPuLj\n4+nbV+RjP/1Uxu836NFDY8QIjXTpLObPFx2S0dECov7dd0qoZl2tmofvv3cwd67Oa6+JFO3NmyIV\nnly1ZdAgHV2HokWF8kiBAiabNokUpKZZ3LolhZqmXn9do1kzO7lzO+nVy8alSxLx8RLDh/u5ccPD\nyZNetm71sXq1j2XLfFSsaNK/v871625iYx/QuHEip0/bqFs3IzVrCjRcvXoGdru4B6lFYMuXWw/Z\nuO6HUWnKBo6dO2Xy5DEZNy5A58461avbU+iQAowbJzYvmTNbLFkimrMCAbDbA1y6pNKokcz27TLx\n8RKtW4v74vGA0wk2m8WRI2LGd/Nm0Zk8Zoyfffu8NGxoPJS6++Mtosmj0OA9cDqdGIaBLMvIsozb\n7Q5FoaZphqJQh8NOvXomBw7E0727l+PHZSpW9NOunZfz52WWL1dwOGRmzvRx+rTGxx+nx+WKoHlz\nib59PQwZ4mLBApPVq3UGDVIoV85J6dIuvvtOpXx5P0OG+Mif32TGDC89ewYoX94gc+Yk4MeAAX4m\nT9a4e1f8HBEhygglS5rMnfu/F2X+lmmaRpkyZShZsiTt2rXj/PnznD17ljfeeINMQdWHR6xZs2Y0\nadKEjL9VC+B/s/v2X+0wo6OjcTqdIQWHv8qCKdlgZ2tqwAMQC1eFCuFdqaVKCUTdJ5+ojBuncO6c\nisPx2/XLM2fEYlaokEiLVqmSwMsvG7z6agyGIYeliT/7TCFrVkJNO3v3SmTJYvH007BgQYA5cxSm\nTVNo1Uo46eHDVV580WDNGoVOnUTKK3duiwkT3Lzyikbz5klalcEGlvHjVUqXNli3TqVSJTtt2yYw\nbVoc69f72LHDhscjER1thWluOhzw9tuBsPGQzz9X+fFHke7s0yc8Ldarl87y5Rp37woSSnR0NBUr\n2ihSROerr2y88IKDRYtUOnVys3PnfWrW9DN+vJ/XXrPRpk2AKVOE/JLNZuPZZx3Y7QJu36KFQWSk\n+Bzv3hVM2JUrFW7ehMqVTTQNdu5UeeutAGvXqpw8KZEnj0ituVwW8fFihfR6JTJmNPnpJw/79nnp\n1UvH45F46aWUtU3LEinwJk0CuN2JZM3qp107henTDS5c8NC/v6AGLV6sMG6cGmKiJo/AVDWCbdsc\nNG0qh+qAwbp8QkJCaBZvxQqFxo2Fs3r9dTGW06SJgzVrktL4ixaJDlinUzjMUqV0cucOULVqgCVL\nounQwUDT4K237CiKYO1mzmzx9NMmP//sYdy4AHnyiOctOtpi/nw/3boZyLJ4VmNiLLJmffwz/VsW\nLG34fL6QWs/jolC3242u62iaxIABJgcPusmSRWLLFjuRkRZffmmjalUHGzdC//5uNm1SaNLEyZgx\nTn7+WcPhsOjZMx1DhsQQHS3x2WcJnDjxK1On/kqHDh569IgnLk7cu9TWk6efNmncWGfUqPDn+O23\nfYwebQsrh/ze6/8nZh8ffd/kSiWZM2emYcOGoTXuccd4nEmSxKFDh8icOTMFCxZk2LBhGH/lDM6f\ntH+1w/y7NDGDx9u+XaJEifg0gQc7dshUqZLaF8siNtbP9OkyQ4e6qFQpbW2+oAnFCT/x8QIEHx0d\nzXvvWURFWbz1VpISPcCqVeH0mdWrZRo1Eo4ra1YYPz7A6dOi2/PsWYmlS4WSSu7cFoULi5RUXFwc\nBQt6MU2JfftsxMcT6rA7f15m4kQbZcuaSJKFw2HRsaNFZGQEGTLIZM8unI5hwLRp4fXGjh0NLl+W\n2LJFZsQIlVmzVL77zsf06X5OnZJYsybpkc2SBV5+WWfECDV03xVFoWlTE49H4uJFlY0bPQwbpqNp\ngoZTrtw9Gjb0sGIFnDolc/myGMuQZSmkkTlihEbdugaZMln06ycG2WfMUClZUqQcJUnUIhctEvqJ\nfr8Qg759W+LZZ8XYS7Nm4v4uX66GBv+XLhUs09Rwm/v3i9GaXLni0DSNiIiIUPpcVUVDkssFK1f6\n2LtX5vnnHcyfr4TNVW7bJkhKTzwhh9UBo6KiQp2UbrePlStl6tSJw+124/f7adzYz9KlXvr10xg+\nXKid9O5tf5gZgZ9/Fin69OllqlSBhQtVunXTiY2VOHlSEI+GD/cTEwMff6zjdkO/fhqJiWJ28+OP\n9bAmpL17hdTdf2K6rofAHkEZtaClFoWmVgu12xMYODCew4cfsGSJhzZtAhw6pNKzZwTjxjnIkcPg\nxAmFOXNUnn3Wx6JFiWTLJiTdtm7VyJRJIyrKGcqq2GwKY8bEM2SIgwsXPKnOOg4Z4uebb9SHyjjC\nihc3KV/e4PPPH+9k/lcsNYf5R8Wjf8vRV65cmePHj4fUTBYuXMhnn332p873r7R/tcMM2t8hIn3l\nSoCbN6FUKTVN4MH27WJYPjXLlQs2bgywc6dwRo8zXddZs8aienVvKGoWiwbMmaOzfbvEzJkiajt/\nHn79Ffr0EQuYZYlu2KDDFH8jmozatNHo21ehb1+DpUtlunQxQsgtu93OlCkxdO8uUkrt2gklecuS\n6d7dTt68BmvWSGzdep8GDUx6947ANGHgQA2/X+LAAQ/R0fDeexqXLyd9ecTsZYBOnewsXaqycaOX\nHDmEVmexYiY9e9rxJuvC79dP0HzOnZPQdXjzTY1337URFSW6HQ1DDgn7Bjv/3n47DrdbIX9+g4kT\nZeLihPOoVs3LsmUy8+apDB/up2tXnYsXZW7ckJg/38fVqx727/dQsqRw+AMGBDhxwsPKlT5cLoHz\nu3RJRlXhnXeE3qbPB4MGiQaphQtVWrdOuUs2TZP58y2aNfMQGRmR6szv8uUKTZrolChhsWCBn6+/\n9jNtmkrt2naOH5ce/o0actTJLXkH5OHD0eTIAUWKiJp2EPBfsOAD1q+/y5YtEqVL2/F4eIhFNOna\n1cv9+wqnTikkJkKZMiZbt8o0bSrmGKtUMSlQQADZGzQwGDpUIxDg4bymQbdu4Ru+ffuUFMo8v9eS\nYwCDHZ2/dz46rVoomBQpksCYMXfYu/cOmTNbHDyokjMn7N/vpmVLncmTXdy7JzFjRjzXr4tO11q1\nnHTtaufIESnE4C1XTqVrV5033siIZYXPOiYkJCJJHt55x03nzg6uXrVC4IJPPvExY4b22G7c1O7F\n/wJdJyEhgcjHFc1Tsd9ab5988kny5MkDQNGiRXn//fdZunTpnz7Hv8r+1Q7z74gw/X4/fr+fnTtV\nKlWycLlSBx5cuybIMc88k/b7Zs0KimJx5IjCZ5+lDEuCKanr1xM4ckSjfn17CrWA6Gj49tsAw4fb\niI3V+OwzhfTpoUAB8ftTpyS83nC6z5IlMm+9ZdCmjcHWrTLFihns3StTs+bdUE3oxg0733yj8MYb\nPsaO9RIZCa1aORg8WOHECYknntDZtMlDoUIORo0KcPOmRPXqdnbtUliwwEfWrLBpk5f06S3q1LGH\nFo7ERFi8WNS82rXTw2Y9x4/3k5BAqDEIBM2nd+8AfftqFCrkYM4clQkT/Myc6Sc6Gvr0EYP6wYjE\nNE0yZIhiwYIAV66ofPutE69XRChlyvj46SeF3r3jiIhI4MUXE1m/XihvbNmiIEmCaHTsmIwkCU5s\nhgyieUVVoUgRk7NnJRo3Foi9bt10LAtmzRJIREkiLLIK4svu309g5UoH7dvLaao9fPttuDMsW9Zk\n61YfbdoY1K/vYOhQlTVrlFQdZnJbtkyheXOBp3t0pCVXLo0VK+I4d04sC4YBTz1lcOmSSr16OjEx\nFgsXaty+LT4D0xTOs359g+HDNQYNCnD4sMS0aSLazpfPokePlNkRIXX3x9NrwXpzENjwn0C404pC\nCxa0ceDAAz75JIF16xSefDKCRYtU0qc36dEjgqZNo8mcWYxaff11IgUK6LRvH0H16hkZOFBl2jSF\nJ57QuX1bokKFaNq3T0etWhkpXjwruXNnpXDhTHz8sYvr12WKFYsiQ4ZI8uaNoHVrB/nymTRr5vzD\nqdn/pgXXyb87wnzce/+T9q92mI/aXyUibbPZ2LXLQbVqae+it22TqVQpvH75qB08KJEzp8natQnM\nni2HulIhvNt23750lCtnERmZ+kP41FOwcKGP3r1jWLo0HMkWjC6Dz++ZMxLXrklUrWrxww8ybdoY\ntG2rUbu2h0yZXKH000cfqQ8B1mC3y8ye7cPtNpk40UazZj4WLjSIiRFRddCZHD0q07y5HlJ0yJAB\ndu/2cveuFIqUqlZ1EBMDa9eKrtrkYw/Fi1vUrWswebLKmTPBBiaJH3+U2bJFCBEfP+6lc2eD+vUN\n0qUTxJdx4wgDk8uyTPbssHq1D8uCgQMd2Gw2Fi6MJiYG8uSxY7fbyZDBol49L3a7zqpVYk538mSJ\nunV1qlQx+P57MR6hKEJJQ5ZFzW/7doV58xSGDg2EcHK9e9to314P3efg3K/P52Pfvmjy5LHInz/1\n5+DECYm7d0lBelIU6NZNZ9cuLxs3CjWY5GD6Ry0QEDOgLVqkHYV+/bUr1A1rWRAXp7BsmYbL5Sdj\nRp3TpyWeekp/2Ewm6rV+vxgbyZfPpHp1MXe5cqWX69elFKnX+/fh6lUpbJzktyw5F1XTtBQYwL/K\nkkehr7+ucOWKl61b3dSoITY+mmZiWXDtmmh0ato0kokTRTR+5ozK7NkO3n/fSZ8+Ls6elbl6VWbn\nTqEY8/TTBpUqGZQqZRAVJWq9kZEivasoFjduCLHxX3+FvHkjaNTIzquv2hk+3MbixSonT8phPNrg\nfflfiDCT1zB/y4J4vqCEXLAx7VFbt24dN2/eBODUqVMMGzaMpk2b/qXn/Wfs/xwmhAgWf5WItKKo\nbNumUq1a2sfbskWmevXHp6ViY2WqVtXJnt1k/foAkycrTJkihRoYgo0O69apaXJJg1aunMWrryaQ\nkEAYnGD5cjksKlmwQObFFw1WrpTx+Sw+/PAOpgmbNjlZv17MBB4+LBEbK9OzZ2JocPzLLw327VMp\nW1ZnwwZHiJ0ZFwcvvmjn/HmZ7du9zJihMmlSUno6c2aBbdu3T6ZiRQe9egWYOtVP8eIWbdroDBwY\nXtcZPTqAJEH79na6drVRpoyDLVtEE0vGjBbZswd3wPDOO178fosvvnBw7VpUimH/p5+2+PJLH99+\nqzBsmMrYsRo9ewbYvFkNpTDffBOOHrURG2snMVFh2jQ7PXrcp27dRLJkMZg+XUSvzZvrbN2q0K9f\n4GG3qMSmTQovvijmW3/5RaJ4cSO0+CckJIRGmebPt9GxY9qf3+LFKq1aGWlurnLksChY0KJ+fYN6\n9RxMmpS6dFRsrEz+/CZ586b8pXiOvQwZIjQhExIkGjQwKF7cxGaTmDgxgh9/1KhYMcCGDSKye+21\neK5cgfHjVRTFpEoVB6YpNkExMaIR6tHAY/9+meLFRUr791jyjUVwXOS/OUpRurTEtGkG+/b5uX7d\nxy+/uNm7N4HPP0+gZk0vui5x546MwyH6BUA0SdWrp9O4cYDcuQ1On1Y4cEBh3z6ZXbsU7t2TuHNH\njOu4XEJs++5dmcREGZCIirI4ckQlPt7g9u0Ac+fK1KjhZPRo5TfnHP9uS81JJyQk/G6HOXToUFwu\nFyNHjmTevHk4nU4++eQTrly5QlRUFNeuXQNgy5YtPPfccw+F3hvQokULBg8e/Jdfzx+1fzUaL7mI\n9P3791PwW3/LgvUfSZLCmjSOHfPTqJGLCxeSIorkZlmQL5+NzZsfj7qrWVPjjTfc1KghRGJPn/ZT\nv34EgwZ5efVVgaoyDMiTx8YPP/h5mPJP1SzL4sUXLTZscJApE2zYEECWLapXt3Hhgh9FEedVqJCN\nWbN8dOig0aGDmzNnHBw9qlCggMWOHYL0k5AgtBDz5zdwuQzOnFE5elSjXLkAAwYEuHlTYdgwG5kz\nW/z8s0TjxgajRgXQNLhyRaJpUzt16hi8/bZQcvjiC5XoaIvjx2Xq1zf4+ms/qipgCS+84GDkyAD1\n6hmcOSOxdq3ChAki5Zchg0WOHBZffunnmWcsatWy07Gjzssv6w+5mAEaNszEs8/C0aMSW7f6Ul2o\n69a188MPMrVqGQwdGqB2bQdjxvi5fVsiIQHmzVO5e1fwYy0Lvv3Wz61bFs8+63rIRP2VPXsU2rfP\nwMaND2jfPpqMGcWIyfffeylY0IllQd68Fvv23cE0zZDo+K+/QrFiTk6c8IRpKQbNMKBIEQdLlvgo\nViz1r6rbDQUKODlwwENiokTXrjbSpYOpU31hKe1OnWyUL2/y6qvhoUqwm3bMmAg++yyC6GgROV6+\n7KFMGQe5cgl5N0URG5FAgJBDVlWIibF44QU/69fbWbjwHtWrm8yY4eL0aZWJEwNhC+ywYRp+v6hT\n/5bpuo7b7Q5tXv4XoinLskIgkOCs59mzQmHml18gKsrA4TCxLPmhuLyMqkoPIf8WhQrpZMtmYreL\nTYMkCdzjpUsqCQkSmiYi061bZX78UWx8smc3adLER69eiTideiidrOt6SIT5v3VvglFhcnZsu3bt\nmDlzJlmC/Mr/H9t/ri/z/xP7oyLSQWi2y+VKEbls3apStWogzYf41CkJm+3xoyJxcXD4sETFikYI\nsJA9u8XatSoNGriIihK82N27JbJntx7rLEHUBjdtctCkiUGNGhZ16mg0bWrQuLGJoohmoAkTxAJe\nv77oqDxyxMXevTItWuiUKmXQrJnF5Mk2rl8XepvFivlYssTJuXMKuXObZM1qMWKExoULSkgeS1Fg\nwQKVXbtk8uQRVJVixUzmzFGZOFGlUiWDCRP8VK1qMmqUyujRGk2a2PjggwC3bslUqWLQsaON9Okt\nZFkMwZcpY7JmjUJCgsSCBT6efFJ8bmPG+Gna1E7lynFkyyYRFRXJ0KE6vXsLGa/33tMYMSJ8oTZN\n0HVx7F27FMqWFRD2efNUChUyiYoSXYzr1ils2BCs/zqoW9ckTx6x6H33XQyrVilUqqSzdq2dTp08\nnD0rceqUk/79ZVwu0dxx6ZLEt9866NgxST5t/nyVevWMVJ2leJZkMmQgTWcJAppQooT50DlabNrk\n49NPNcqXdzJpko969Uzi4oSCyejRSTDXYLTr8/lQFDtffBGB0wnx8RJVqxrMmydmL0uXFoBxRRFj\nNStWKAwcGOCXXyTmz1fp3TvAxx/bGTnST716GoZhsGePQo0aHuLi3CiKEuLD7t1ro2fPx3d9Bxt7\nAoFASK7qf8GC2STDMMI2yAULiv+EKViW/HC8yhfis8KjjNzghldkHQoXDofsvvGGFNK6TFpHHCHu\na5A9HCQeBXmvQfbr35GyTsv+SEr2/3X7P4eZzH6PiLTf7w/VKYOA9UdtzRoNSTLZuBGqVbNSRDWb\nN4t07OM2hdu2ybzwgommCUZmUDA2JkZi7doA9etrqKrOoUMSDRv+dppm5UoFu92iTRuTBg0soqN1\nOnZUqVvXpFw5jZ9/loiKMqhRw8vOnY7/j72zjLOq/N7+d8eJKYaRlhTwRwuDKI2DhIpBSAlSKigi\nqIgorQiCICAigiCllKRSCpJSIi0g0qh0T53c8by42WfOmSAHmOev1xs+n8PM7H123Otea13ruliz\nxs+ffwpG7ahRXmRZDN1/+KHEmDHJrFql8OGHUUiS6EWWL29w8aLKvn0yRYoY9O7tpkYNL6dPm6xf\nr7Jrl53jx8X/+3xC7N3nE/2+desUVJUA8WfdOoUGDRSqVjUoU8agVi2ds2fFwj1/vkqzZhqzZ3vp\n2NFO5852li3zIkkmJUq4adFCp1ev7MyeLUq3cXEGxYqZ1KihM3Wq8Lps3lzn5EmJ6dMVxo5VSUyU\nuP9+UdIsVMjko49sJCQIsfEiRUQvr0CBMBQFdu1ys2qVwk8/KZw6JV31f7QhyxJz53ro2NHBqlUe\nYmPDaNTIz9q1NmRZlGgjIkzefjuS55+/jMOhIkkKX3+tMmmSL8P79u23Ku3aXTvATJ+u0rp1ys/Y\nbNC/v586dXReecXOjz/qlClj8NhjOtY8uVXqBIiIiOCdd5yBzNE0RW+0XTtHgLh0/rzEY4/pHDgg\nNkFdumiULeukXDmdjz6y06WLny5ddEAs2tu22Rg0yCBbNjXQr3K7fWzdGkWpUgm4XHIgkFqBAVKy\nXVmWM1V563YRnO1GRkZeM6OzeqEWM96S6rOCpyXDaQU4S4Iu+Getnw+GdZ2sfrPP5yMiIiLQFrEq\nZrquB7LQYAH1zMhC0yvJ+v3+685d/l/BvzpgXsviKzWCXUyuxdDzemH7doWOHT18/HE4HTtKtG6t\n06WLTv784mdWrBAjGtfCTz9BzZouDMMIEBEslCplsnixn6eftiFJsGDB9ctbkyYp+HzCgPnUKZmf\nfhLl3FWrZJ591s8331ymRo3c5Mgh1EeKF9d45RUHb7/tQ5bFLrdfP5XHHvNSpIifjRvDKVDApHBh\ng7ZtxRB7VJRJxYoGuXJZR3VQsiTExZnoug9ddwcWTxA77gsXVL78MpxvvrFRtKhBjRoG27fL7Nkj\ns2OH6A0dOCBGO6KjYds2d6DM+PzzOkuWqHzxhUz79ldQVZUPPoCaNRXmzDECIxyDB/t4+mkn06d7\naN7cyaRJOvv2CfarJEns2uXh0iVo1szBnj0eihY16NbNTq1aTmJjDcqW1UlKEtqqpUqFUaaMQf78\nJjVriszzyhXxHLVp4yAhQWLUKJVixQz27xe9KUURBB2vV4y+lCiRnQcf1DAMk4QEk61bNTTNpGJF\nCYcjJaM4d06o5Hz2WcYB9dQpQXqaOTPt81S9usGvv3ro0cNO79523nvPH1JStNvtOBwOXC6JSZNU\nsmc3iY8XAvKvv+7g/vtNhg/3c//9YTgcQsS+SxcH77zj5/ffJc6dk7hwQTBzP/kkJWCfOCHh80k8\n8IAZGLew2WwcPiyRNy8ULBgWELgIDh4g3jOn03lNcfm7CcsKz+fz3XK2awWv4HaPFeSsa5B+FiqF\nZKFW/zJYvcn6LHhsLbX7iKZpIe4jt5OFZkQ0ygr36m4ga2zfsgAyCpjBpB6bzUa2bNmu+dJs2CBR\npozB+++7WLvWz8qVggRSqZKdLl1Ujh2DzZulDAk/ovyaxPLlMg0ayISFhaX7c2XLmnz+uZ9z5+DA\ngWs/rEePih5ezZpeBg1SefhhO4cOybzwgsbWrRc5exYaNMhF8eIGixYp9Orl5ZdfhO7nc8+Ja7Jk\niTA9rlTJ5IUXsqNpImAtXerjhRd0mjbVeeKJ4GAZem0tZ47UM3A5c2r06XOZ338/Q//+icTE+Cld\nWqNoUQO3W3g/duvmZ88eD4cOSWzZkrLoDB3qIyLCYPBgOwcPRlwViJaZONF71RZMXJfChU1KlDBo\n2dJJdLQY0+nZ08fu3Qo//OChcGGT2FihOjR2rMi6/X6JefPcGAZ8/rkthHDj98PJkxKnT0shn589\nK+FywRdf2DhxAg4fFq4xL7/sx+kUGXS5csJO7e23DZKTVR57TGf3bhtvvhlGwYLhPPOMyuef6/zz\nj49Jk2QaNdKIicn43k6frtCokU5GdoTR0dCjhzj+hAkqXbrInD0rMhOrL9ihgx3TFKVYq6dWvLhB\nv35+Fi6USUyEKVO89O9vR5aFhGHbtiKjaNhQ9JyD/JNTgQAAIABJREFUsXmzTJUqepoKypYtCpUr\nG2kE1q0syQqcljOLJaxws/6MmQXLQF7TtNseY0mNG9XItdSJJEkKOLVY/UvLFDrYrcW6VtdyH/H7\n/bhcroCR9O1c438bBea/gHkV6QVMv99PfHw8mqaFCAJcC0LPNeXhe/BBk2HDdPbs8ZEtm8kjj9jJ\nkUOMHwQj2LT6zz9VVFWiXDn1msfbv1+meXODPn1Upk7N+FZ+840w7N2yxcGFCxLbtnm5csWkRYsE\nChWy89NPYo7w999lYmIMNm9WGDjQTs+efgzDz/HjSbzxRgQFCpj07Rt2VZfVFxibuFmk50px331R\n1K4t8eabHgYPjufHH88xceIVHA6TAQPsjBihMGOGl27d7GzcKOP3+zHNRKZMSQAkXnwxImDrFRtr\n0qePnyZNHLz+uo3SpcPIlk1oek6f7qNtW40+fewMGuSlQoWUez5woD8g3F6tms6zz4YRGSmIRSdP\nugO9t1Gj/Awd6mf4cD+FCplUqGBc1ab18tZbXgwDatTwo2kSERFw6JDMDz94kSRroYR33rGTlCQx\naZLGhAk6W7f6OHTIzcsvG+zc6eCRR7IxfLiDYsVcJCSkyNoFsyR1HSZPVnn55WtXGKZNU2nf3sua\nNeeRJIlatXIydaoDvx/++kti2TKFnDlFn9U0CRCeatTQ6dTJzn33iVGK+HiJfv38tG8v+tilSplM\nn542+xVzlmk3hL/+mnb+0lq8bTYbUVFRAZcWixRlEesSExMDJsfpubRkNvx+P0lJSQGt6TtdGr5R\ndSIriMqyHMh4rSAqy3KglBtsd2YJxge7j0RERIS4j3i9XpKTUzSIrWct9XX+t2eY/2qWLIimOQgh\ndushtPo7mqYRHh6eoVFvapgmlCtnY9o0H0WLXiEmndTgpZdUtm4VpJ+vvtKoVMkM9G0sp4VRoxyc\nOCExerQWWDDSGwyuWtXGkCEa+fPD00/bePVVne7dQ3f2mgYPPmjn8mWYPv0KdevK7Nyp0aZNdv78\n04eiSOzaBc88YycyEt57z8+XX9rYt0+iWDGdsDCTw4dVPB4hgjB4sI/WrdP3ecxMWCWlkycN+vVz\nsHixk6gog3bt3EybFs6ECZd5/HGxwEydqtC7t51KlXTef19j9WqF+fMVTp6UKFTIYOFCHwULmsyY\nodCvnw1FgW7dND791MaECV6eeCJlcX//fRtXrkjUqqUzfbrCsWMyo0f7qF9fEGfy5w9j9GgfL72k\ns3OnRMOGThwOEaBnzZKYO/cStWvnIjlZ2HhFRYkyZ8eOQp5v7Fgb777rY/hwO82ba0yZkn6wmzJF\nYcwYoU0bHw/dunlo2tSFLGuB0tqqVU6GDQvjl188GT6fbrdJqVJhfP/9RcqWdaCqloOMEIP3+0VZ\n1zQJ9HwdDmGHNneuwo4dMp07+/nmG6GlmiuXyd69Mnnzmnz1lS/gZhOM6tUFyzi1ms9DDzmZPdtL\n6dJmCLEnPDz8ut6zViCwSvqW2LpVwrTMBW534b7Z87pbsCpdwf1CKxgG90Ktsm9wLzT1Eh/cC019\njOBeq7U5Cy7l+v2CzGhJLeq6znPPPZclrLfuBv71GWaw2o/lOxgfH48kSQGh9Bt9CVNUc9IvVZim\ncDCZNUujZ0+dJk1sfPCBwaVLKfqvqqry44/CKcQ6r/T+1l9/iQHwGjVMHnzQZM0aHzNnyrzzjhIy\n4LxihegD1qtnUL26F7fbzeLFkbRsaaIo4jt/8YVghg4Z4qdNGw2Hw+CLL+KZMiWJ3LmlAAnk77/d\ndOhw54Ol9b1VVaVwYTvffGOyaZOb2Fidzz6LIDERWrS4j6efDuPVVyVWrBDuGKtWKbRs6cDlgq++\n8nH8uJucOYWA+59/SkydquLzCXH1rl0FcahLFzt9+4pRB4A+ffysXi0THW2yaZNCXJxB/friXmTL\nBhUrGgwYYCc+XmSJAwf6iIgwKVw4kVOnFLZti6ZdOx1NE2o8brfQl92wQWbFCpXwcBgzxo6iCPWe\n9FRdDAPGjrUxbJiP9eu9jBvnZ/FiJ1Wr5uD77+/DbhfZ1/jxdtq2Tcow+9I0jVmzNMqU0ShfPmXx\nr1DBZOlSLy+95OfkSSkwInL//aJ0vXevxMGDEpcvi5Lz5s0KLhckJEj88Yco5ScmSulmkYmJQvwi\nNjb0/86eFXZnJUuKjVBSUhKmaWYoG5kaVokxLCzFL9UyTrCyQes6ZOQVej3cynndDQSfl/W9r5eF\npnZqudEsNDjLTe2BaV1XTdPwer0sWrSIvXv3hoyY/F/Hvz5gWrAYsB6PJ9BPuNndqiVibv1a6hf2\njz/Ef5QpY/L88z5WrLjI5s0KzZrl4sIFUe69cEEYMlsasxkFzIULFZ59VpRSAfLnh1Wr/Bw6JPPs\nszYuXhSfT5okAmaDBkKQNiwsgrlz7TRtKl6U8+cNFixQKVbM5Jln/MycqePzmbzwgszo0ZGsXasw\neLCPzz7zc6/WD8MwKFzYxfTplzl6NDHglLFtm529e23Ur+9j0qQr1KvnweUyyZnTR4UKHhwOgz59\nfMyZo1Kjhhip+fVXD7Nnq/z6q0zVqgabN3v480+ZatWcrFghExUFI0b46dJFBLWnntLw+4X4+F9/\nCYH2yEiTli2FiXSzZkk8+aSblSsjGThQo1cvB9mymZw9KzF3rpcuXfzs3Stz+rRE797iGno8QmzA\nMOCJJ9IaE3//vUJYmEmdOuJZqlHDYNEiL1Om+Jg5U6VatQimTg1n/34bbdsK1qbdbg9kRwkJCSQk\nJJCcnMyUKeF07qynM2wOw4db3qOCsHX2rMTkySqnTgmx+UOHBElp1y454IdZt65O+/Z6YOQmNbZu\nlSlfXmSpwfjtN4VHH9Xx+TwkJycHVJduNSNMry9u9Rkz8grNaOg/uCTpcDhuqPVyt2ApHFnti9Tn\ndTu9UJvNFkK2ulYv1LpfViZrGAbfffcdTZs2ZcOGDTRs2JChQ4eybt063BmYe96oeTTAqFGjyJcv\nH9HR0bz88sv4fBkT3+4m/ivJer24XC48Hg+KopAtW7Zbfllq1rTxwQcadeqYXLp0iZiYmJC/9ckn\nCqdPw+DBCYEZTlW1M3KkypgxChMnapw9C8uWycyeLdJEwzCIj49PU96tVctGv34a9eqF3j5Ng379\nFObNU/j4Yy9vvCEW9sOH3SiKm02bwunf38mGDS4kSWLwYBsjR9pYtSqBfPk81KqVk4kTfQwebGfL\nFpnvvvPy5JP3Tl3E7/fjdrvTDK9fuADjx6t88YUNl0tkfpUrGyxfLnH0qELp0hqXL8vIskmjRj7W\nrrVTrpzJF1/4WLlS5e23bWzY4CFXLpH5L12q0Lu3Dbsd8uY1WbdOxuEQ/6dpkD07gXnKkyfFOWTP\nbvDQQzpFikisWKGwb5+HBg0cHDggGKJvvaXx/PM6Vas6+OMPoahUrpzOBx/YUVUoUsTg0CGZsWN9\ntG+vB+7fI484+fRTX4gikwXzqu/pSy85iIkxmT3bS7lyKc+AxeaWZZnt2x107hzJxo3nURRCypfd\nuzv5+usU6cJOnTR27JA5cUKMytSvr3HokMyRIzIul2D5FitmsH69l5EjxXzmkCFpy8mDB6tcuCDR\npIlgFpumRJ48JjNmyGTP7qN7d9cdk7ZLe63MNGVc8X1DmaiW8bQVELICrM2P1Ra6nfO60euQHiPX\nglXC9Xq9qKoaIEDt27eP0aNH07hxYzZv3szmzZsZN24csbGxac5j4cKFyLLM8uXLcbvdTJkyJd3z\nXb58Oe3atWPNmjXky5ePxo0bU6VKFYYMGXLL1yCz8K8PmBeuipWqqpgXi0pv23wD+OsvqF7dzrFj\nPmw2uHz5cpo5zapVVfr0iScuzkyzaGzcKNG2rY2ICJN339Vp00Y8sKZpcvnyZe6zXJaBv/+GqlXt\nHD/uS1e5xjRNFi/W6dBBkF0qVoR58/wkJiby2mtRVK5s8vrrOpomU6BAGHXqeJk4MYERI6LZs0fI\neLlcsHq1hzJl7s3jYRjCR1TX9UBZKD2YJnz7rcKHH4reZNmyBn//LXHggCgdjh3rwTR14uM1Xnkl\nioQEia++SmTq1HBWr7bz0ksav/8uZMuOHhX+ladOycgyAR3YSZN8FCpkkju3iSwbPPRQOJUq+Th0\nyMZ77/nYt0/hm29UVBWcTqGS0769MMP+5BM/R45IvPeeHa9XlFt79/YxYIAdux0kyUTXJXbu9FC0\nqMm4cUJEfckSb4ZzusePS9Ss6aR7dz+ffWbjuec0+vb1kT27ECFwOp3YbDZatXIQF2fQqZM/pAe4\napVC69bZ0XXInl18rwceEL1Jrxd69/YzaJCdyEiT06clbDbIl89kzRoPOXLAM884eP31FMsuwxBS\nj99/rzJjhoLdDuXKGQFZvJMnTf7+W2batGTq1s2cecBbQXCPziotWiQWm80WCCD3evbT4jQoinJH\nst3Uvcob7YVac57W7Kwsy2zdupUff/yRkSNH3vDx+/Xrx4kTJzIMmK1ataJo0aIMGjQIgDVr1tCq\nVStOnz59+1/+NvGvD5gW6ccqx96qYsWoUQoHD0qMGycyw2CpPcMwOHDATZ062TlyxEVYWPr09KNH\noVw5O489ZjBjhhgnsAJmcLY6cqTCoUMpxwqGlWH4/VCxYg50XYhjv/22n+ee81C7diS//nqB7Nl1\nRoyI5PPPI/njj0ucORNG/fph+HxQqpTBqlVebtKxJ1MQPCd4M5Joug4//ywzdarKunWipHnunPD0\nbNZMJywMLl8WPeQjR4RziND/NHjtNTdVq+qcOmXjnXfCmTjRS5UqBtOnq7z3no3SpQ1sNomzZ+HC\nBVGmtGYrTRMKFjRJSJBwu018PgnDEJ8bhhB08HikgP2YzSaClKZJOBziHA1D9A9XrPAQFxfGTz95\nKFUq49eyc2c7efOaDBjg5/JlGDJEZdYslc6dXbz5JkREyBw4IFG/vpM//nAH/DgBzp+HkiXD8Hig\nYEGDkydlFi68TIsWMdhsJu3aeTl2TMHhgAULbNhs4txWrfKQL58YqSlQIIw//3QTFQUzZiiMHi0y\n8xYtNIYOtbFvn+gdW0SV5GSd0qVzc/x46LncKwTPVlrPV3DwsEguwQH0bgV5ax2yNj1367jXy0KB\nwOxucBm3f//+nDx5ku+///6Gj9W3b19OnjyZYcCsUKECffr0oVmzZgBcvHiRXLlycfHixXSJlHcT\n//oepnXzb9fia/58OcQFwiIReTwe4uPjWbbMyTPPGBkGSxC9org4k9KlTapXt7N3r5SuMPycOUIg\nPRjB86J2u521a6MpWFAs2suWuTl2TKJ69SicTpg1K5rvvgvj888jqVLFT+/e4Tz2WNjVwOpm/fpE\nwsPvfhk2WGjbIhzc6IKhKPDkkwazZ/v4+2838+b5+OgjH16vxPjxKuvWiTGIDz/UmDzZS6VKBoUL\nQ968EitWhDFlipM+fZxMn36RatXisdlcvPJKMg0bCk/Mrl2TqV3bQ6VKOmvXerj/fpNz59zUqWNQ\noYJB8+Z+PB6JvXs9nD3rplAhk8hIkVn16OHn8cd1FAVq1tQpW9a42heVAuNFp04Jp5aXXtKuGSz/\n+EOMgXTrJkQIIiJ89O17ieXLE9mzx0nFiuFMnSpMsLt08YcEKF2HunWdeL0ie05OlqlTR+fo0Qj8\nfihZ0qBKFY1ff1VZuFA8p0WK6Pz4YwK5colsbMcOmQceEP9WqeJk1iyVUaN8bN7sIS5Op2BBk5w5\nBeEoMTERSZI4eDAbJUsaWSJYWrOVlkWY1cuzeoCpR1pcLlegH2yxZ+9EjmFZ9Vki83dbuCGjXqjF\njPVcNaHdu3cvffr0Yf78+XTq1AlZlpk1a9ZNH+taSEpKCpkKsJKYxOsZA98FZA0aWBbA7Tychw4J\n3dS4uNAXyeolRUVFsWiRkz59ri1xZjmHvPKKwcMPmzz5pI0RIzTq10/5mYMHJc6ckahVK+VY1iyb\nLMuBMvBXXykULmxQvrxJhQomX37p57ffFBo29HDhgsmMGVEYBhQvLrF6tQObDX76KZny5f34/Vrg\nBQnue92pnXZq9ZnbIYOAyOIqVjSoWBHeesvNqFEqw4bZeO89mTJlDGrXNnjpJY1t22QWLFC4cEHm\nt98U3nrLT/Hi4YSH61el3DSeeiqJ336L5NVXI8mWzeSNN7xs3CiTlAR9+th45BGdMWNsuFwKMTEm\nZ84IAtaCBV7i4pzIskn37nYkCRo31vjhB5XDh93MmqXSr58owbdtqzFunI0LFyR+/lmmTRvhJZn2\nOkHv3nZ69PATHW3gcrkDo0ilSyvMmuVjyxaZ99+3sW2bzKBBBi4XAVGDxo0dHD0qWLFxccKebMoU\nHw895MRuF2SnJ56IRJbFsXLlMlmzJgmnU8ftFqzLpUuj8HpVunSxM2yYl2efNQOl482bFapU0a8K\n36co44jP763LBqT0wx0OR4YBKT1VnuDypcV5CB5pud0sNLgEez3ZvbsFq2dpadZGRUUhSRI5cuTA\nbrczduxYDh06xH333cf58+epUaMGb7zxxg397ettOCIjI0kI8qmLvzpgfavtsszEfwHzKm4nw7Qs\nsVQ1VKDZYpYdPy5x9Kh0Tbsvl0uMgIwYIR7QF14wKFPGT4sWNtaty8ann5qEh8OsWTJNm+pXy4Fm\nQA0lIiIi0IjftUsYGZ86JTFhgg9JkvjlFxO/36B7dxcJCWFMmCDTq5dwCzlzRmLjRjelSsmA8IJM\n3e+xJMyCA2hmuCRYTD5r4c9s0oUkQffuGm+/rbFkicxXX6nMnq1w6ZKKJEGOHCZlyhhcuCAxYoSN\n4cNtVwUGRHYuy+LfsDATtxs++siJwyHIOV9+KdwkxH0Xequ1ajmJjDTJk8ckZ06DI0dkatbUad5c\naK5KV70xZ8/2ERlp8sYbdg4elImJESXjnTtlHn3USd26Om++qVG1arAVm/DffOklN0lJ7nQ3F5Ur\nG+TLZ/LSSxqbNsmMGBFG06YaZ85IrF4tlIdy5zb55ReFPn38TJigcOmSRIcOGnXrOlEUk+RkCacT\nZs/2EROTMkP0668SY8c6qVrVz6RJV3A6/SQlpZQvN25UqVPHFcjerF7gr78qtGp17c3inUTwO3kr\ns5VWv856v1LLzlmby9Q9wOu9G8EbRUsOMKvACuJW1mmtjzt37mTLli3MmDGDkiVLcujQITZv3szf\nf/99w3/7etelTJky7Nq1i6ZNmwKwe/du8uTJc8/LsfBfDzOk6Z0eG/V6MAwoVkw4MLRt68XhSA7M\nLVlancOHK/z9t8SYMRkvGnPnykybprBkSSjz8MoV6NABzp5VmTZN45ln7Mye7adMGW/ggbYWTSvI\nWSMR69Yp7NrlxuNx07FjBJUrQ7duJnFxDo4cEaVet1sYKd9IBpDe8HjqReJGCRPpaZrezZ21acKl\nS0L3NDlZwusVQXLHDpnffpM4fdrE6RSOMn/8oVCqlMkTT+i43aKicPCgcDcZNy6RbNn8gMzGjXaG\nDYsgd26IjwePR1xfEBZY9euLGcf9+2U++0yIHzzyiIMDB2TeeEMjKQmmThWLed26OocPy+TPb9Kz\np5+yZQ2qV3fy9dcJVKrkzZAItXmzTLt2dnbv9hAWJuzUXn3Vzi+/iPvicIiZVVmWaNPGzxdfiA2C\nJX6vKILgY9l7WX3aMWNURoywkZwMBw64yZEjhRAiNlR+ypfPwQ8/XOSBBwiIj0uSQuHC4Wzd6gl4\nld5N3GkCjYVrvRvpCSukDuJZiZ1rvZfB2rk+n4++ffsSHx/PuHHjiLwFgoM1tvLhhx9y8uRJJk6c\nGNIjtbB8+XLat2/P6tWryZs3L40bN6ZatWp8/PHHmfIdbwf/BcyrD3l65JobwapVEl26qBQvrrFl\ni0rVqgZt25rUqZNAWJiKw+GkQgUbX36pUb16xpe6WTOV554zAuzYYMTHJ/DNN9kYNMhOeLjJ7t2X\nMQwtkFUGM9nOn5eoWDGc+vV1SpbU6Nz5Chcv2qlRI4Z9+9ysXi3Ttq2D6GiQZSGu3bLltYXgM0Jq\nooBFmLie+oqVVZqmSVhYWJZaLILJIBbpYuFChSlTVBYt8gZ+VtehePEwVq4UYu2CQahRuXIUn30W\nz8MP+1EUhb17bTz5pOjHGAbExJicPy+uR1gYPPSQwZ49MjabyVNPGWzfLnHkiIxhQPPmGk8+afDJ\nJzZOn4bHH/cycaKLsLD0iVCaBjVqOHnnHT/Nmol7OmaMQq9eQgM2NlZn/36F5GRBRtq9W5CfatcW\nTGGfT8JuN+nRQ+O332S+/daH2y0y4v37Zd5/38egQXZ++80TOKZ1L48ckXj++fv4808XhpHyTPzx\nh0T79jFs3x4fUtq/0wi2LrsX2VvqLNQi0VibSr9fPB+3237ITGQUxE+cOEGnTp144YUX6Nix4y3f\nvw8++ICBAwem+ax9+/aUKVOG/fv3U6BAAUDMYX7yySe43W6aNm3K+PHjs4TN238B8+oDDaQ7O3kt\nmKZJy5YKVaq46NRJxzDCWbxYYdo0hT//hE6dfFStKtO1q8revf4MxwQuXRLGzYcP+0iPpJuQkIDD\n4aB16zC2bhV9uC+/NChcOCVQgih1DBli4/hxiSVLFNavv0jhwg4GDgwjKQk6dNCoXt2J0wnZspn0\n6+enXbtbC5YZXQ8r40jtSmLttK3y7r3IKq8F0bN0I0lSQEHGQmKiMGg+cMBNsELhm2/aKFzYpHv3\nlMrBkCEqFy9KDBvmDTxbLVtG8tRTbi5fVpg+PZx//pED5V5dhxo1dDZuVIiL0zl3Toy32O1CUq9E\nCYOKFf3s3q2gaTLZs8P77/upXz+tPdxnn6ksX66wbJkI7AMHqoESc61aQtpv504Zp1MEVzHWAg8+\naHD4sBil2bLFQ9++Nh5/XOfJJ3VatHBQuLDJuHE+xo1TOX1a4tNPRRUkeEZ27txIVq1SmDYtdMB8\n4kSF336T+OKL5Ayficw2QM6KGzLr3bB0Wq2K0K1WaDIb6WXipmmyatUqBg0axNixY3nkkUfuybll\nJfzrWbI3Y/EVDF3XOXw4mbVrFdq2Va8yyyRatTJYvtzP/PmJHDwo06SJjUKFTK5aD6aLOXNknnjC\nSDdYWrhwwcv69Qrr1nmpVUuiWjU7AwYoXLliBBr0bjdMnKiSJ4+Hxx7TKFo0HJdLZcoUoeRTq5YT\n0xSkmE8+ydxgCSmEifRcSSxNXK/XG1gU7pULRTCCVV6snmDqRSsqCqpVM/j559CFt1Ejne+/D/2s\nWTOd+fNVDCNFyq1jR5g3L4p33zXZvj2ejRsvc999IuBFR5ts3y7+xoYNCk88oWG3Cxm62FidAwdk\nZs92MHCgn23bvHTpIoTja9VysHChEvAQ3bdPYtQoG+PG+bhwAVq1sjNihA3ThBIlDM6eFeXmsDBx\nTJsNXn/dT/bsJvv2yTgcJr/9Jti/a9YoFCli8PjjTurVM5g61Ud4OKxfr1CzphHIRNxud4DNvGmT\nQvXqaasjmzcrVK9upvtMpFbkyQwWqqZpJCUlIcvyHemJ3w6suWJL2i89WbuEhIQAW/ZuvR+WmlCw\n+pKu63z88cdMnjyZn3766b9geRX/+oAZjBsJmMHjG1OmRNCypUGOHGl7SWXKmAwblozdDhERULas\nnWnTRGaRGt9+q9C2bdrgZR1L0zQWLXJSs6ZJ4cIy777rY+NGF//8A+XKRTBggJ1Dh0wmTTKIjfXx\n88/hvPKKCKRffKESEWEybJgNvx9iYmDFCk/ICMydghXIrfKU0+kkMjIyQCqyZNxuRL7sTiBlZtUf\nGDHIKNN59lmNxYtDF9+aNQ3++kvm779Tfqd4cZMCBQzWrUt5tZ54QufYMYlDh8T4QrlyTiZM8FO4\nsMH99xt4PJA3r47fD599ZiM21k+2bAY7dyoUKqSTPbtJ06Zh1KvnoG5dnd9+89Czp8bnn6tUqOBk\n2DCVF15w0KePj1mzFMqUCWPJEhFMnU7hmHP4sIyqQkSEidcr8emnPr7+WuXECYlChUz27/dQoIDJ\nzp0yUVEm7do56dXLT58+ojLi93NVTtAf0DWNjIwM9FE3bpSpVi3tM7V5s0y1ain3NCNXDkvM2+v1\nkpCQQGJi4k3Ze1nPk8vlCmitZpXqhTViY5liB4+yZSRrZ2V8qTcTmfl+WOtL8CgLwPnz52nevDlR\nUVEsWLAgRDTl345/fUnWUq8AQV+2Htj0YGVJIgiEU7p0GGvX+ilePO0l9Hg8TJyosmmTk1mzNLZu\nlejRQ0XXYfRojYcfFr+zZ49Eo0Y2Dh70EbwZto5lBZ369aPp29egfn1/QJ1EkiSOHYMxY2Tmz7cR\nHy/z6KM6Bw/KDBjgZ9cumUmTVJxOrrqNmBw86LlrggRWmRPIsDSWUR/0Tg6OB/e3rjViEIxz56BC\nhTCOHnUT5OVNly52SpQw6NYtpSw7ZozK3r0yX32VUp788EMbiYkEypmmCbVqOXj7bQ1dN+nZ0865\ncynnIMsQGWmQkCBTtapGbKzOV1850HUhUff444INu2OHzIoVCqmlNmUZBgzwUa+eQePGDs6dkwgP\nF8/Ao4+KgH7likSjRjrTp/sC5d127ewsWaIwZ443RJrv118lunWzsXLlhTRD9adPwyOPhPH33+4Q\nu7cTJySqV3dy/Lg7w3ZEeggu7Qe3TIKfieAy7rXK6fcSwc/ZrZpPm6YZQiTKrPfDmnmWJCmkj7pl\nyxZ69uzJsGHDqF279k2f7/91/OsDpvVQg+gVpvdgB49vhIeHY7fbGT1a5ddfpYDma2q43V6qVAnn\ns8+MwDiJYcCMGTJ9+6o0amQwcKBGv34quXOb9O2rB45l7fqsY23a5KV9+0j27BGsxWDdRysgzZ8f\nxYQJdvx+4apx6ZIYZcmXT5g679sn8/PPXipWvPMZ3K0EpODfvdZiebvzoDcSxDPCk0866NYtRRIO\nhLrQkCE2Vq9OIQSdPg2VKoVx6JA7MAN54oRFdqzMAAAgAElEQVRElSpO9u93B0TLV6yQ6dVLkGgk\nyWTJEoNXXonA7Rbf7ZFHdHbulPH5hLFzvnw6iYkyiYnBbQQCbiMREWIkRJIgTx6T3LmFg46ui16p\nzSZ+1uEwcbkkHn7YYN26lPMeN06lVy/hktKpU8p3NAyDIUMkzp+XGDnSSBOQ5s5VmDtXYc6c0Kg9\ne7bCokUKM2fevnB28DMRzEKVJAlN03A4HFmqJx7cR81M7dzU74dlwxW8kbDIdhkhvXlUwzAYP348\ny5cvZ9q0adx///2Zcr7/15A1tmJZBOmVZH0+H1euXAEgOjoah8OByyUxapRCnz4ZlzV//lnFZiNE\nzECWoU0bg507fWgalC9vZ8YMOSC8bRlWG4YROBbA5MlOWrdOxutNMXcVkmOi7+Z0RjBypIM33tA4\ncUI4Y5QtK9wkGjfW+fNPmXff9d+VYJm6zHmzi1hwH9Qylw52oUitvHKjNk7BvUqbzXZL/a3nnkvb\ns4yLEwLqJ06kfMd8+eCRR4yQEm6BAia1aunMnp1SvahXzyB7dpMpU2R++snPn3+K8q01A7pli4Km\nSWTLJgLd2bMKOXKYhIWZAQ1hWRYjIWXL6lSoYFCqlMmOHW5iYw1OnBA/o+sQGWlSurS4//fdJ4Qd\neva0BP6FCMO4cSp2OyHtAcs6a+NGO3XqyOku/Bs3ytSokfbZ2rhRTreveSuQZTlQxo2MjAwMsVuB\n0+fzBcq4d7P/lx5S91EzM+NN7/2IiooKuNUEl7TdbndISdsqW1u9Z+vdTEhIoH379pw/f55ly5b9\nFyyvgX99hgkperJJSUkBK5tgCa1gUQCAIUMU9uyRmDkz47nKOnVUXnwxmQ4d0to3WXj3XYWpUxWq\nVjUYOjSR++9PySqtneTZsyYVK4azc6eL++7T8fl8gRKyNcIxZ46TGTOc5MplsnKlwuTJPnbskNmx\nQ2LdOoXatXXmzvVxJytVwSMZN5tV3ixSC0dfbx7UCrRw81llME6ckKha1cnRo+4Q0fvOne2ULGnw\n5pspz8OcOQrTp4eOoqxbJ/POO3Z+/NHDmjUK69YprFwpc/KkxKOPasTGCtFygD597NSoobNsmRKY\nkbQ0amVZMFwbN9YIDzdZtkzFMISebcmSfvbvt5E9u8G5c8LnVNdFJmqzCYZtq1Y6lSs7OXLEjWFA\np052zpyRaNVKY8kSlfnzvSEjBrIcRtGiUfz5p5v0xpQrVXIyYYIvzYasYkUnkyd7qVAhc5cYTdNw\nu91pGJ2pZyFvNvO6XWRGCTazziM4E7eqNJZdl67rgU3jvn37eOONN+jVqxcNGzbMMhl6VsV/Sj9B\nCNZ/dbvdAZJK8EN08iSMHq2waVPGZaY1a4R83XPPeYD0A6auw5IlMnPmuNiwwaBu3Wx06aLTvbse\n4pQ+ebKdRo10cuUCj8cfsPuxWIYul8bQoU7690/gnXeiWb36Eqqq0rFjFJomUbiwwYwZdzZYWgQF\ni9Rwp3tIGSmvWCMrwX0eEFlSZpTsChQwKVrU4Jdf5JD+XtOmGh98YAsJmM8+q9O9u51TpyTuv9/k\nn38kdu6UOX5conTpMGrX1qlWzUPr1l4++SQbdeuadO2a8vuS5OOzz2z88YebTz+1sWCBSmJiSuD0\neGDWLDXgqqJpwlVk925B3DhzRnx3wxCs2Ndec/PGG36ioxW+/NLO00/rXL4ML7zgoFAhk8WLvbz5\npp369fWQgBQZGcmGDQr/+5+RbrA8f17YnT30UGiwPHdOaOUGW4/dLq41WxksaWd9fj1Ju4zmhG8F\nwSXYu/EOXAsWmcjiYlh8CKud8dNPP9G5c2eKFSvGxYsXef/996lYseI9O9//n/Bfhokou5qmSVJS\nUmCgOL2SnWlCixYqa9fK5M1r0qCBwfPPG1SqlKKnaZpQu7aNTp18PP10QoiIcDAWLIARI2SWLLlE\nZGQEp0/bePddlZ07JT74wEezZjoej1hcFy1KokgR8cCnZv+NGydm74oWNXA4TD780MXzz4ezZYtK\nVJTJ+vWXyZHjzsy7ZTTof69hESU8Hk9IWS4j0sjNYORIlWPHJMaMSVFk0jQhYrBqlYdixVKO9+qr\ndjweOHdOYt8+mWef1QkPNzh4UOLbby8GRL8PHJB54gknO3YIBR0LPXva2LFD5ocfvISHw65dEt99\npzJnjsL589LVTNPE7ZZwOEQw9ftFNlmokJDny5PH5Ntv3RhGSk+4QYP7aNbMy9ixEbRr56NXLx2Q\nKFbMybJlCeTPH6ryMmiQDa8XPvoorf/l998rTJumsnChN+TzhQsVvv1WZcECb5rfuRVkRk/wWmIC\nt/NcWCLtWW22OPj9DL6fbrebnj17omka//vf/9i2bRubNm0if/787Nix4x6fddbGfwGTUBNpVVUD\nQsOpMXOmzKefKmzc6Gf/folFi2TmzRMD3x06GLRrp7NypcyIEQrr13twuRLJnj17yN8QpS4vNWuG\n06ePl8aNxS7QyirXr1fo08eOrkvExmqcOWMybdqVdKXQ4uOhfPkwJk/20ratgx073Myfr9Kzp40c\nOUx273YRFpayUFqed9bu83YCaHBWmdWYielJ7qUmEgVfi5sp1x0/LvHYY6KcGXw7une3kSePyXvv\naVy6BBMmqIwda8PjgfHjfTzzjI7dbnLliofY2OwsWuTioYdSNmTvvCNmJkeOTAlKhiHKvadOScyZ\n4w04mwCcPi3x7bcyw4bZKVLEJG9eg2LFTJ5+Wqd2bTGqUrasCOLBLO4jR6BatTDsdpMRI5J56ikX\nhmGwd6+Dzp2zsXHjxTRSbXXrOujVy5+uofU779goUMDk7be1G/r8VmD17DM7IFl9vWs9F9cSE8go\nIGUFZLTBOHr0KK+99hodO3akbdu2IVJ9586dI0+ePJl6HqkrdG63m9dff53PP/88U49zt/CvD5im\naXLhwoVACc8SAU+N33+XaNDAxtKlfsqXN4N+HzZtkvj6a4Vly2Q0DSZM8NO4sZ5Gm9YixCxdamPU\nqCi2bNGAFLUeqzxkGCbz55t07BhBzpwGXbtqPP+8QYECobeqd28bly5ZMmsmfr/ElCkKOXLAnj2h\nqjTWdw1eHG5FCzarZpUQKuR+PX3O9K6FVa673rV47DEH/fr5qVs3JYBs2iTTpYudJk10JkxQadBA\np1s3P23aOPjiCx+PPuoLlDk//zwbf/0lM25cSln/4kUxmjF3rpeHH075u5omeozHjkl8952X3LnF\n51euCKuuNm20kFKwhZEjVXbvlkOUd86ehQYNHJw7J7NmjQikVplz6FCV+HiFgQOTQq6F261QsmQ0\nx465iIhIe58fecTJ+PG+kHMGePRRJ19+6aNSpVsn/VgkFb/ff0ui6bd6zBsZ47CY80CmsmAzA1bG\nG+wna5omS5cuZdSoUUyYMIFy5crd9fNKTk4mb968/Pjjj9SoUeOuHz8z8K/vYUqSFPBbs9h1qXHk\nCDRpYmPkSC0kWIrfh+rVTapX12jfXmXvXomuXW0sXy7z+utywATa4/FcNUUOY+jQKIYM0TAMPUTW\nzsqE3G43p045iIvT6N1bZ9IklREj7OTPb/LwwwYlShi43fD11ypPPKGxeLGYtVRVk6go2LzZkyZY\nWsew2WzX7f2ltvSyYPW27lav8kZxK/ZgGV0LXdcDzEKrL5Z63q1JE50FC1Tq1hXBSNPg999lDh+W\n+P13ifXrPRQpIp6Tdu38TJwoUbasK9B369hRo3z5MPr3F4xagBw54OOPfXTpYmf9ek+AVKSq8PXX\nPgYNslG7tpNJk3xUqGDQsqWD2rX1kPlPC243fPGFjUWLhOarrsPMmQr9+9vRdfj2W28gWFrEnrVr\ns9Gvn2A2B1+LX36RKF/eh64nkpwcmnlduCBx8qREuXIio3U4xPtw4QL8849EhQq3Hizvdl/cQnrP\nRbDcY3CZ32KrZpUNY0akI7/fz8CBAzlx4gTLly8PrHd3G/PmzSNPnjz/3wZL+C/DBAgoaFgPW7Dv\n2oYNEm3b2ujTR+PllzNeAL7/XqZnT5Vt23zouhC9HjdO+Ft26xZP/vxiJzp5so1582SWLPEAKQIE\nwQ+732+ncuXszJmTwjzUNNi2TWbXLplDhyS+/16hYEHzKrlI49AhmbVrFTZs8FCmzK3d0mtpwVoE\nCmvRzyqLRHBWmZGDx60gNesyeB70zBkbjz2WjSNH3OzerdCtm52YGJMHHjDInh0+/liUVXVd559/\nPFStmoO9e13kyJGy6PfoYUNVYehQf9AxoWFDB7Vq6fTokTYQ/vCDwltv2YmKMilRwuC779Inc40b\nJ/rsM2f6WLpUYcgQG2FhJq+9ptG/v40//vBgGClZSGKikwoVwjl2zI0jFUetZ08bOXOa9OghNlRn\nzxqsXKmwebONjRvtnDihBJi7hiE8NHPmNMmRg4Cm7c1ed2vzc6fZ1jcLq7pizRcHbyzutSZsRsLp\nZ86coWPHjjz33HN07dr1nm5yH3/8ceLi4ujfv/89O4fbxX8BEwLBweqVBO/Aqla1oevQqpVBw4Y6\nDzyQ9vd375Z4+mkbP/zgDyj4mKbJkSNX+PLLSGbNCqd9e4P27TXq1HGwaJGbcuVSSrCph+mHDnVy\n6JDE1KnpM3GnT1cYN85Ghw5+pk1TKV3aZNYshWXLPNSokbmsxGC3dQuZQZ7JDNyp3lZGCO6D1q8f\nRe7cBjt22PjoIzfNm+scOWLjmWecHDjgRtdThBteeSWK6tUNXnstJQieOiXx6KNOtm93E9w2+usv\n4an5/fceYmND76Vpwhtv2Fi+XMHlknj2WSGQXqWKQa5cJrIM//wDtWqFUa+ezsaNgpz25psaDRvq\nDBhgwzBM+vRJxO/3B7KQmTMVlixJX2CgUiUno0f7+OsvienTVXbtkqlVS6dWLZ21a2XKlvXTrVsS\nkqSjaTIXL9rp1SuCypVN3n1Xu6l7klUtryBUGSd1zz4jMtHdMF+HjL0r169fT79+/Rg9ejTVqlW7\nI8e+Ufz1118UK1aMI0eOULhw4Xt6LreD/wImhPSykpOTQ5itCQnwyy8yy5bJLF4s88ADJm3a6LRo\nIcTSd+4U0naffabRuLHIBn0+Hy6XIFNERUVx7pyNjz9W+PZbhYcf1pk/30t0tJTu7OI//8jUqOFk\nwwYPhQqlvTUnT0pUq+bkq6+8vPqqg4ce0lm7VmHePC9PPJG5OpNW/yi4vHMt8kxmmUpfD9boj67r\nmZpV3gw+/1zlm28Uli5NJjo6JSNv0CAn772XSFxcChFk7VqZHj3sbN3qCZGI697dhtOZkpFamDNH\nYfBgGxs3hsoYDh+uMneuyooVHvx+MVaydq3C9u0yly+LcqjDwVVhdY0GDbRA0DUMKF3aybRplylb\n1ghZ9Nu2tVOnjp5GjH/fPssQG2JjDdq1EypHVhYaG+tk6lQv5cubIUGjWrUoRo26QoUK2g0HjfT6\nblkFN7sxy2gm9FZIZteDz+dLY0Ct6zqjRo1iy5YtTJ06lVy5ct32cW4XgwYNYtWqVaxZs+Zen8pt\n4b+ACSFN/sTEtMzWlJ+DlStlpk2TWbtWiEpv2iQzfrxGw4ZGYBdqzUq63W4iIiKQJInp02U++cRO\nbKzBL78ovPqqlzZtEoiJSdmxmiY0b26nUiWD995LW5IzDHjuOQdVq+qsW6dw7JiQK1u61JtpiirW\n9bAIKk6n85plnMwgEt0Mgi2l7uXCevYsVKwYxsGDbiIiUvpHY8fK7NrlYNy4xKCxBZWaNWMYMcJL\nXJwZOOeTJyUqVxbjJBaZx8Jrr9nxemHyZKHzOnWqwrBhNlat8qZrxGwYondZqZKTqVN9VK6c8jyY\npsnatQY9ejjZvDk5hKjl90ORImFs3+4mb17x81euwOjRNsaOVcmZ02ThQi8lSoQe89QpIfV3/Hio\nfqx1Xf76y4UkXT9oAFmWaZqZpKP0xDaC+QI3qwmbUTZ+6dIlXn/9dR5++GH69u2bZbL0//3vf/Tu\n3Zv27dvf61O5LWQN1sY9hvWQXs+tRFXhyScNZs3S2LbNR9GiJqYJs2fL/PabkLWTJIno6OgQp/Kt\nW01693Ywc6aXadO8/PBDPH/+aVKlSk4++CA7R4+Kh3ruXIWjR2Xeeit9Kv6nn6r4fLB3r8Svv8p4\nPBJbt7ozLVhaL6HLJQgqN8L+s0gSlshDasuixMTEEJmuW3VbsFiJHo8nYCl1L7OQPHmE/N3SpUpg\no+Tz+WjdWmHlSgeGkeI+YbOpvPyymy+/lElMTAzI+uXJ46dlS42hQ9MGiZEjfRw+LPHJJyqLFikM\nHGjnhx/SD5Ygeojz5ikULWqGBEvr3L77TuWFF4w0PcGNG2WKFzfImxe8XpE5ly8fxpkzEnFxOj16\n+NMES4C1a0VpNvXjsX69QvXqOqqa4koSLOGW2pUkISEhUGHJKos7EFD6MgwjxJXlVmEJbQS/J9ZG\n2apsWc+G1+u9puSjruskJSUBhLif7NixgyZNmtClSxf69++fZa7npk2bOHXqFM2aNbvXp3Lb+C/D\nJMVE2jRNLl++fFMm0vHxOhMmGIwdG0ZsrEnfvgYVKxoBs9h9+3SaNYthyJBEnn5aKPVYAgQnTihM\nnKjyzTcqBQoITdLx4700bpzWHHjJEpnXXnOQO7fBgQMy9erpzJvnI7OqkVbmlp44wu3gWkSiG+3v\nZJWsMjVmz1b47juZadMuhpzbCy8IxZwOHVJKnElJUKpUGOvXu8ifP+VanDtn8NhjufnxxwRKlJBC\nMvLTp6FqVScej8SPP6btaQbD74cKFZxMnOgL2GlZ180w7JQrF8OmTR4KFgz9G+++K2Z2S5Y06dvX\nRsmSJh995KNECZMHHgjjl188FC6c9rgdO9p59FGDjh1DN3ddu9ooUcLkjTeuPX/p9/sDJVhLru1u\n9/6udW6pxcnvBjJqdwRn5RbfIbVw+uTJk1m4cCHffPMNBQsWvCvne6N47bXXcLvdTJs27V6fym3j\nv4BJSsAEUdK4kYBp9R8tCT1wMmWKwqefKjz0kMH77/vw+yXatHEwYICXJk0SA2WY1C+Cy6VQq1Y4\n0dEmFy5IXL4sUby4wX33iczh6FGJI0eExNqVKxITJnhp1Chzs0pN0+5KSSy9/o5pmukSiYLP7W7N\n4d0oxPyuh4ceimHHjmTy5UvZzf/0k3AwCXYCAcE4tdth0CB/yN8ZPlz0ISdPjg8Z7dmxw06LFpFI\nksnQoX5at85Y7H/aNIW5c1WWLPGmKSUuWeLgq69Ufvwx9HxMEx580EmePCaaJjF0qI/atcVztXOn\nRIcODnbt8qQ5lmlC8eJOVqzwhigbAZQt62TOHC+lS6e/rFyrzHk9Pdg73SO/F3Of1zuf1NZ3IDYU\n27dvJyYmhkKFCvHOO++QO3duhg0bFiIX+B8yH1lnBbqHCH4BrYX6Wi9lsFdltmzZUBQF0zR59VU/\nbdp4+eYbG61aOUlMlHj3XQ+NGsWjKLZAPzP4RXC7fXTuHEmpUj4mT05GVRXi41WOHVO5ckXMsw0c\naOeFF3RWrVJYs+bWx0ZSIzhzy0jdKLORkeantShYZdvgjUVWmvmElB5vRITCU08ZfP+9g86dUzKq\nevUMunWT2LMnVEv19dc1atZ00rOnH4uILUkSXbsaxMba2b49ipo1RZDYudOkVasIxoy5TMGCOi1b\n3seFCzpduugoSmjW5fPB0KE2Jk/2BRiTiqIE7umsWQqtWoVmfMeOSXTvbuPsWYm+ff20aaOH+LGu\nXKlQt276AXr/fiHFV7Ro6HN47JiEyyVRqlTGpcTU5xaMa+nBWjOQqXt/qWeFbxXBnpp36124HixN\nWFmWA9fNGmdZu3Yt3333HWfPnqVEiRKULFmS9evXU7lyZSLvluHtvxBZZxXKIrhWH9PqoyUmJuJw\nOIiKigqUk6wSSliYxGuv6fz+u4t+/ZKYNMlG48Y5Wb48El1P6ZWqqorN5uT992O4eNHOpEl+FEW+\nKhSeRMmSV4iJcTN4sI0HHxS+iMuXZ06wtPpals3Pve4HprZusqy8rB1+YmIiSUlJuN3uTHedvxlY\nGUhwj7d1a43p00P3nYoiLLKmTg39vEgRk8cfF0IUwQgLg+HD/bz5ph2fT+LAAZXmzaP47DM/jRo5\niI11smxZMjNn2mnXzsapU4kh9mbTpglx9IoVheWbZf0kSRLnz4u+YsOGIvj99ZcQ1njsMSc+H7z0\nkkb79qHBEmDFCoV69dIPmGvWKDz+eNq2wdq1MnFxeprPLUKUdW4387xZvT/r2Qju/VnWYwkJCbdl\n6+X3+wO2bzcienE3YX1HVVUDrkk2m41SpUqRL18+Vq5cyQcffEBSUhIDBgzgk08+uWPnMnv2bEqV\nKkVkZCTFixdnw4YNd+xYWRX/lWQJNZGOj48nIiIiTTnGeqksYXZLHst6QYMFCIJVZxTFwZIlKmPH\nCtHu1q11mjTRKFTI5NVX7bhcErNnewnSSsA0TWbOlHn7bSeKYvLMMx4GDkwkOlq57d5OVu0HQvq2\nTZB+aepOuU5khIy0c3UdypRx8t133hAVqL//lqhe3cnBg+4QDdhduySaNnWwb58nRCTAYkgXKWKw\ncKHKoEF+WrYMDVhutyjr/vijQr9+Hpo2deNy6VStmoNJky4TG6vhdDpDsq6xY1V27pR56SWNr75S\nWb1a4eWXNbp29dOwoYOPP/ZTq1boBuTKFShRIozjx0PP3UKTJg5at9Z4/vnQ82vb1k7dunqIn+bN\nyBXeCm6njGttgKx2xL0uwQYjeOQsuDzs9Xrp3bs3LpeLcePGEW45lN9h/Pzzz3Ts2JE5c+bw6KOP\ncvr0aUzT/Nd5Z/4XMAkNmAkJCWnmDi2GZ0RERIhXZWpZu9QCBKkXh/37paseicJtIk8ek1atNAoX\nFpJ2LpfIAH7+WWbTJsE2HDrUT/nyRmB843p9v4yQFWYXM0JGM5/X+vnbJRLdzLkFW0qlp507aJCN\nK1fg009D5ymbNHHQsKGWZr7xueccPP982s/XrpV55hkHAwb4effdjEkzv/0m06uXjVOnJIoV03G7\nDebOTSQ8XL4qwKERH6+wa5eDN9+MQpIgOho6dtR48UWN6Gjh7VmtmvD2TP0oLFggnEZSO5CAsBUr\nUiSM/ftDvTF1XXz+668e8ucXS8q9mq1MHUDTG3WyqkWpN2dZARkJp//zzz906tSJ1q1b07Fjx7t6\nztWqVaNjx4506NDhrh0zK+K/gElowLTKrXa7PVBGssqF18oqb8Y82TTh0CGJrVtl9uyROX1aIilJ\nIiLCJF8+kwoVDKpV07mWIEZ6jLr0dtXBGW9WzyqvN/OZEW6GSHQzCDaevtaIjeVgcvBgqLTcihUy\nAwbY2bQpVLBg/XqZzp3t7NyZohm7f7/Es886qFNH5/ffFdau9aSRqUv9nVev9tGiRXYKFjT4+2+Z\niAhwOk0uX5ZQVShWTOPwYYV58y5RrpyGzZbyfIwbZ+f33xUmTEir7vPqq3YqVDBC+rIWVq+WGTTI\nxurVocF02zaZ116zs22bJ8u5eGREnrFaAfeKjZse0rMKM02Tn3/+mY8//pjx48ffde9Ka9Zz4MCB\nfP3113g8Hho1asTw4cOvEh7/PfgvYF6F1ysWgKSkJBRFCbxcVt8gOKsMLv9lFZurjHbVVhacFRau\nYNzpRfV27LxuRc+0QQMHL78cWqY0DKGGM368j6pVQ8ueTz/toFkz0T/cvVuiSRMHgwf7adFCp2VL\nO8WLmwwenNZ/ElIW1REjsnHqlI2JE/34fMLuze2WiIkRFYsePWzExEDv3r40AhONGmWnSxcPDRro\nIRssw4CiRcNYuzZFQD4YvXrZyJbNpFev0GA6dKjKlSsSH3/szbIuHqkZ4cHX5G6ycTM6t/SE0zVN\nY8iQIRw4cIBJkyaFuB/dLZw6dYoCBQpQqVIlFi9ejKqqNGzYkLi4OAYNGnTXz+deIus8zVkAVlC0\nMp7o6GhUVQ0EoOBgaZURg0kW93JxCCZHRERE4HQ6A4xCi2WXFYgzkDJ4ret6gOST2QgmEkVFRZEt\nW7Y0Q/PpXQ8rq/R6vURERNywRm379hqTJ4fWNmUZOnXSGD8+bfm7f38/Q4fa+OUXmYYNnXz6qehZ\nShKMHetj7lyFRYtSG5inkI4SEsKZPDmMvn1F4LLbIVcuYRwdFSVKp3PmqLz4otBzDb4eLlcU+/fb\nqVcv5W9a12PjRj85cxoUKpQ+4efnn5UQWzMLK1cqxMX5SEpKwmazBfr8WQXBw/5RUVHYbLY0ogpW\nuyX4etyN98UqD/v9/pD34dy5czRv3pyYmBjmzZt3T4IliM02QNeuXcmTJw85cuSge/fuLFu27J6c\nz71E1mlk3WMYhhFYxK0AmDqrtBaA4DJiVht5CCZZBKuA3KyV151AcFZ5t700b8TazNoIqap60xug\nhg113nvPzoEDUogyzosvagwZEsbJk1KgtwdQubIQTG/a1MH06V7q109ZkHPmhNmzfTRu7KBwYQ/l\ny5shYw+RkZH06ePgxRe1dEUFQDiblC9vpPv/ixer1KunExVlA0Kvx4oVNurW9ZKYmJjGB/LECdF7\nT+19eemSyZ49EhUrJmWJ+cVgBFcLrvXMWRvL61nfpWf3djtITzgdYPPmzbz//vsMHz6cuLi42zrG\n7SImJoYCBQrc03PIKsg6T/Y9hGmaJCYmBvoZ1suSmtRzs+SUu4nU7NzU9HhrlMVazILFsoMdSVIb\nKGdWQLtX/oYZIfh6WDt8XdcDWUZycjJw40QihwPatdP4+muV4cNTSqnR0dC6tcaYMWqIldf06QrH\njsnYbEJiLzUqVjQYOdJHixYOlixJInduV6A8vH+/zKJFKjt3ujP8flOmqLz6avrEoQULlBDnlODr\nsXy5g9GjfWTLli2ND+QPP4Tx+OMyfr830Bc2DIOlS3WqVrWRK1dklugDWgjWW42IiLgphm5670vw\n9fB6vYE++a2UcVMH8uC50y+//JKVK/VaCFQAACAASURBVFeyePFi8loCv/cYHTp0YMyYMTz55JOo\nqsqoUaN49tln7/Vp3XX818O8Cp/PFwiIFnnH2nVC1h7HyAzqfvCCkFpV5HaYp/cyq7wRWP3A1JKA\nt0IkskZJ/l975xkeVbm14Xv6hBSatByQIBBMAgaEUFKkigXQowdLPIhSpAgCoqhIEQRUFI9KUeQD\nqQqKgKKgaNBMQg0lRELvvYqkken7+zHOdiaZhAQymYG893VxKYFkrwyT/ey13rWetX+/w5DdyenT\nDqPy3bvzqVIFpk5Vs3ChmpUrTcyapaFSJYn33y98Xmm325k5U2LWrEr89FM+d93leC8++qiOrl1t\nDBniWRAPHlTwwAOONWMFjV8uXIAWLQI4cqTwyMixYwo6dtRz5Ei+21xmTg5cuKBgwAAtnTqZad/e\nTEiIhRo1rAQGSowYUZXWrSUGDbL7zb+tq0mCt7pgS9KN6+nBsCjj9KysLIYOHUp4eDiTJk3yq0zd\narUyfPhwvvrqK/R6PU899VSFdBYSgvk3zrKL8+nxn00TjqdoSZL8Mqt0NgqU9U5ISZJuepTFtYzo\ny4YoT9xItaDgQmlPjURPPqmjWzcbzz/vfgY4YIBjxvLIESUHDyr45hsTderAxYvQqlUAv/5qdCvl\nuj6gLVwYxMcfa1i2zMT58wpGj9aSlvZPh21BXntNQ0AATJxYWITnzFGzebOS+fMLd8fOmKFm924l\njz9uZcsWFdu2Kdm/X0F2toIaNSROnVLQooXDsODyZbhwQUn16nauXlXy229/UreuxS8WKbuOAZXn\nDb2oeeGC4yyeZo13797NsGHDGDt2LN27d/ebBw+BO0IwcdwI33jjDWJiYoiNjaVKlSrY7XbWrVtH\n27Zt5S5Z8L0xtGvMzm5ETzOf3rpmSUdZrje76EvKqrO5YOepzWZjwwY948YFs2WLw+bQ+bVTUhT0\n6KHn4YdtzJtnxnXefPp0NT/9pGLtWhPg2c905UoVI0ZoUakkPv/c7Hbm6cq1a3D33QGkpno2Tb//\nfh0jRljp1s329/cABw4oWLNGxbRpGkwmx/lqXJydVq1sNG0qERoqsWaNis8+U7N6dZ48W6nV6vn+\nexUTJ2rJyDB6XKTstLvzRpm/IEVlbr7CU9VGkiSUSiVnz57l0qVL3HvvvaxcuZIlS5awYMEC7rrr\nLp/GLCge/8n5fczDDz9McnIyc+bM4cqVK1gsFmw2G/PnzycqKgrALeNylnBdlyeXh4C6ilF5b1Nw\ndlo6Kcrn0zmjWtpzI29T1uVhT41EXbvaePtt+PlnaN/e0TiTlqZj4MAQGjWy07q1jYLmLC++aOXb\nb1XMm6fkqaeyPJ7zPv64jQ0brHz5pZrZszU0bmymQYPCgrh8uYqYGM/NPidPKjhwQEmnTja2bFHy\n448qfvxRRX4+dOxow2aDw4fzqVat8Pe6Zo2SBx5wdOi6ZuQZGf/Y7rme+zk9TwuegwI3PR/rCWcj\nnlqtJijIP85SnQ8LSqUSo9EoV1okSeLQoUNMmTKFQ4cOERISwjPPPENmZiYhISHccccdvg5dUAQi\nw3TBZrMxffp0pkyZwhNPPEFoaCibNm3i6tWrREdHExcXR3x8PDVr1pTX6njKuMr6ZuAaX3FOQr7E\nKUYmk0mOy9vLpEuD62vn7RGgr75SsWSJmh9+MPLxx2pmzNAwfXoOdepY6NmzKtu2XaVyZaVbZ/Ku\nXVYeeSSYlJQcwsIKz4geP67gvvv0/Pabke++U/Hxxxq6dLExYICVNm3sqFSObLFdOz2TJ5sLjX6c\nOqXgzTc1ZGQoycpSULOmRPfuNh55xErz5hLz5qnZuNFzqdZisdOwYSXWrfuLJk10bq9dq1Z6Zs1y\nX1hdHDczH+sJX5ZgS4KzEqRQKNwa8Y4cOcLgwYPp06cPYWFhbNy4kY0bN3LmzBkyMzO9EkuHDh3Y\nunWrXLWoW7cu+/bt88q1bleEYLpw7NgxXnzxRaZPn07jxo3lj1ssFnbs2IHBYCA1NZXLly8TFRVF\nXFwcCQkJhIaGygJa8IyrLIahfZlVloSiysMl8YAtj1GW0poQ3CxmM0RE6LnzTgmlEhYsMFOvnuNM\nuE8fLeHhVkaMyHOb7QWYObMyqalafvzR5NZ0I0nw73/ruO8+G6+84mj0ycqCBQvUfPWVmrNnFbRp\nY0evl0hNVTFypAWj0dGoc+SIksxMBVarApPJMS86eHDhcZRu3XQMHGjlkUfcz17NZjO//WZjwoTK\nbN5scnvtjh5V0KlT4Sah0uCprF3S94izu9nZX+BPD5Dgea+mJEn88MMPTJ8+nTlz5tC0aVO3z3FW\nZ7xBx44defbZZ+nbt69Xvn5FQAjmDWCz2cjIyCA5OZmUlBTOnTtHkyZNZAGtX79+kQLqWsItiYD6\ne1ZZGiEv7zMubxt/F8f776v57jsVKSkmN6/WQ4cUdOmiZ+fOfEJCLHKHrlKpxGSy8tRTVWjd2sqY\nMSb5dVm2TM0nn2hITfXc6HP2rILt25W8/baGWrUkmja1o9dDrVoSYWGO3//5J/TqpWP3biMF9efi\nRWjePIDDh/PlcrHreeBbb1Wldm147TX3rtyPP1Zz+LCSmTMLZ6U3iqf3CBTuHXCeQ/tj13pRxukW\ni4W33nqLixcv8vnnnxPsunGhHOjYsSO9evWiX79+5Xrd2wkhmGWA3W4nMzMTg8FASkoKJ06coFGj\nRsTHxxMXF0fDhg3lsz3XrlNnydJTOaq0/rTlTVk0HXlrlAX+ebov6+7hkpKbC02bBrB2rbHQMuWX\nX9ZgtVp5553sQkb4589LxMcH8PHHeXTokM+5cxJdutRg2bJsWrVSFFnWPnxYQefOevbtyy90Rgr/\n2OSNGVO4c/bzz9Vs3arkiy8cwuc6kqHTBdCkSQBr1pjcungBOnXS8cYbliIbkMqCguM9zsYZQHbr\nKW8bu+JwLcG6NpSdO3eOF154gccff5wXX3zRJ0cTHTt2ZM+ePUiSRJMmTZgyZQrt27cv9zhuZYRg\negG73c6BAwdITk7GYDBw9OhR6tevT3x8PPHx8TRp0sRNQF2fpp03RGf25WvLvYIUNEjwt1EW18zI\n11tZPvxQzR9/KFm48J8MzGq1cuaMkfvuu4M1a4wUqMgBsGWLkqee0rFqlZF33tEQFWVj9Og8j6MK\nzoesESO0VKsGb71VWBBNJggPd/jDemoUuv9+HSNHWnjwQVuh88DNm5W89JLDVN2Vc+cUxMQ4tp2U\n17Gha8VAq9XKQlrcg2d5UpRxusFgYMKECUyfPp22bduWe1xO0tLSiIqKQqvVsnTpUoYOHcquXbtE\nZ24pEIJZDtjtdo4ePSoL6MGDBwkNDZVLuJGRkahUKoxGI+np6URGRqJUKrHb7fJ5jq+bZpzfR3mX\nOEs6ygK+WydVFLm5EBUVwM8/G7n7brub2fy8eQH88IOKH380FVq4DLB6tYqBAzX861+waZNRFiVP\nWfnFi0rat7+DrVuzqVOncFl7xQoVX3yhZs2awuu6Tp5UEB+v5+DBPGy2wiulXnlFQ40aEm+84V6O\n/fRTNTt3Kpk7t+zKscVR3L+t61l5ac9By4KijNNtNhsffvghO3bsYP78+X7X/frQQw/RrVs3hg4d\n6utQbhnEWEk5oFQqadSoEY0aNaJ///5IksSJEycwGAx8/vnn7N27F61Wy/nz56lXrx7Lly9Hr9cX\n6/9angJ6Pds9b1KSURbnQLjdbicgIMBvOiWDgmD4cAsTJ2qYO/fK3x9zjIv0729l4UI1X32l4r//\nLWx03rChHbtdwaVLEgcOKGjWzPFc6zzzdW2smjpVzRNPWKhWzcq1a6ZC3doLFuh47jnPrkBLl6p4\n7DEzZnNuoYqB1QorV6pJSjIW+rwVK1SMGuV5m0pZUpKtNqWxffTGvlRn45HrKNCff/7J4MGDadOm\nDd99951f9R4IbhyRYfoYk8nE22+/zeeff05iYiJGo5HMzEyqVKkij7G0aNFCNk9wbYgoj65TXzbO\nlATnWaXrEm9/GWWRJInsbAsxMcHMmXON9u3db9K7dil49FE9W7bkU6fOP5+XkwMdOugZPtxCpUrw\n6qta5s830bFj4bPCy5cdVnebNhmpV8/xo+z6UHHokET37lXZufNPgoLcS5Z2u0R0tJ4ZM64SH68p\nVL5ev17JhAkaUlPdM1NnVnr4sHfLsUUtUi4tnmwOy6KDvaisd/v27bz66qtMmTKFLl26+LzSAQ7b\nvS1bttC+fXvUajVff/01AwcOZNeuXTRq1MjX4d0yiAzTx3z//ffs2bOH3bt3U+fvu6YkSVy8eBGD\nwcDy5ct58803CQwMJDY2lvj4eFq1akVgYKBbec75JO3adXqzAmo2m32SVZaEgiYEzqzSH7ayOOPI\nz89HqbQxYYKO8eMrkZzsXn5t3lyiTx8rI0ZoWbbMjELh2KE5eLCWtm3t9O7tyDzvuMNEv35a+vSx\n8cYbFreu2+nTNTz+uFUWS3DfvLF0qYbevW1UrqzDZrNhMplkl6O0NDVKpY64uMJiCfDll2oSEwtn\nv8uXq+jRw+ZVsfR0HnijuGblribnnioVJXnQKqoEa7fbmTdvHqtXr2blypV+teHDYrEwbtw49u/f\nj0qlIiIigu+//16IZSkRGaaPcb7812tkuXLlCikpKRgMBrZv345Op6Nt27bEx8fTunVrefN5UV2n\npRnbsNvt8k3E140zniiNR60v7NoKZh6SpOC++3QMHWrl6afdBchodGSTfftaGTDAyuTJGpKSlPz8\nswnXZfbnzsGAATrOn1fw/vtmOna0c/48xMS4Z5euXLsGERHuzT7Om73RaGTkyKqEh1sZNCinUCNR\nTo6CiIhKZGTkU6OG6+sJMTF6PvnETFxc2XfHFjWS4W1KMjPsfI94st/Lzc1l2LBhhIaGMnXqVL/y\nnBaUHUIwb0EkSSIrK4sNGzaQnJxMWloaKpWKmJgYEhISaNOmDYF/r8so2JIPxZ/l+PNWlrIwcPDm\nKEtx521paUoSEx3dpgX3ADtHQl54wcJXX6n5/XcjtWp5+vqOZqAxYxyNOEFB0Lixnf/9z/NZ4ty5\nan75Rck335jl+PLz87FabZw6FUjHjoFMmGAmK0vBuXOOecycHIfQXryoJDtbSdu2VmrVgvr14e67\nJTQaiVde0ZKZafTYrHQzuI4q+bo7vKj3idML1lkmVqvV7Nu3j6FDhzJy5Eh69uzpVz8zgrJFCOZt\ngCRJ5ObmsmnTJpKTk9myZQs2m41WrVoRHx9Pu3btCAkJkf+uUzydNwFnKcqZifnbEmBwP88qSwOH\nshhlgZIZuo8YocFqVXgc9B89WsOsWWp+/tlIbGzxP5JWK8ybp+b11zVotY7dmffcY+fuu+1Urw7B\nwRJWKwwZoiUx0Uq1anDqlMSxYxInT6o5cUKFUglarcT999upV0+iTh2JGjUkQkIk9HqJYcO0PPmk\nmYYNLZw/DydOKDl0SENamobBgy2MH28tU2Hw9dzs9TCZTBiNRvkhaP78+UyaNImoqCjOnDnD5MmT\n6dmzJ5U8DcEKbhuEYN6GODv3tm7dSnJyMps2bcJoNHLvvfcSHx9PbGwsVatWld2ITpw4QTUXx21v\n+uHeCK5nqeVxMy3NKEtpst6sLGjZUs/8+WYSEv4pZ373nWMTySOPWNmxQ8XPPxu5nglMz5464uNt\n9O9vZdMmJXv2KDl0SMmVK5CdreDPP+HkSSUPPWSjWjUrtWqZadBARXi4kvr1Je67T89nn5mJjS1c\nVk1PV5CYqGPPHqNseWe328nJsREVFcyvv/5JaKi1TGYffVWCLSnONXBWq9WtBGs0GnnzzTf566+/\nqFOnDlu3buWPP/6gbdu2JCUlefU9eujQIZo1a8YTTzzB4sWLvXYdQWGEYFYQjEYjW7duxWAwsHHj\nRnJycoiIiODChQvs2bOHzZs3ExISUiqx8DauZ6m+7NAtblGw03mmpJtZfvpJyciRWjZtcpRmv/hC\nxZQpGlasMBEdLTF0qJbjxx37Ml2XUBf8Gq+/rmXbNiM6XeE/lyRo317Hyy+buf/+HMC9xLlunZKJ\nE7Vs3Oi5rDpkiJZ69eyFZi+//FLFihWOxdfFecCWtDu5KFccf8Fut5OXl1dod+Xx48cZNGgQzz33\nHH379pU/fu3aNQ4dOkR0dLRX4+ratStGo5GwsDAWLVrk1WsJ3BGCWUFZu3Ytffv2JTw8nMqVK3Pp\n0iWaNWsmmynUrl27zPxwbwR/P0t1bmZxurmUZpRl5EgNFy8qqF1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"text": [ "<matplotlib.figure.Figure at 0xc5021d0>" ] } ], "prompt_number": 54 }, { "cell_type": "code", "collapsed": false, "input": [ "# contour plots with projections\n", "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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Be56exWdtr2Ti2DbEx1WPM62swdyjLm7Ob0p7/PHJHPrkmyKDudVnSV13XUB9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SwT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\nLwLNzs4mNDTU1wc6bNgwP7ebUw3lm4pnQ0MDEGj3JoQ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"text": [ "<matplotlib.figure.Figure at 0xcdef470>" ] } ], "prompt_number": 55 }, { "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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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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"text": [ "<matplotlib.figure.Figure at 0xc7dd438>" ] } ], "prompt_number": 56 }, { "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", "```python\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", "\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": 57 }, { "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": 58 }, { "cell_type": "code", "collapsed": false, "input": [ "# TODO - doesn't work right now - must have appropriate animation class installed\n", "# Generate an animation that shows the positions of the pendulums as a function of time:\n", "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 and video encoders\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", "# anim.save('animation.mp4', fps=20, writer=\"avconv\", codec=\"libx264\")\n", "\n", "plt.close(fig)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "C:\\Anaconda\\lib\\site-packages\\matplotlib\\animation.py:695: UserWarning: MovieWriter ffmpeg unavailable\n", " warnings.warn(\"MovieWriter %s unavailable\" % writer)\n" ] }, { "ename": "AttributeError", "evalue": "'str' object has no attribute 'saving'", "output_type": "pyerr", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mAttributeError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m<ipython-input-59-d2d7c09643ed>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 31\u001b[0m \u001b[1;31m#anim.save('animation.mp4', fps=20, extra_args=['-vcodec', 'libx264'], writer=animation.FFMpegWriter())\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 32\u001b[0m \u001b[1;31m#anim.save('animation.mp4', fps=20, extra_args=['-vcodec', 'libx264'])\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 33\u001b[1;33m \u001b[0manim\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msave\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'animation.mp4'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mfps\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m20\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mwriter\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m\"ffmpeg\"\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcodec\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m\"libx264\"\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 34\u001b[0m \u001b[1;31m# anim.save('animation.mp4', fps=20, writer=\"avconv\", codec=\"libx264\")\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 35\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;32mC:\\Anaconda\\lib\\site-packages\\matplotlib\\animation.pyc\u001b[0m in \u001b[0;36msave\u001b[1;34m(self, filename, writer, fps, dpi, codec, bitrate, extra_args, metadata, extra_anim, savefig_kwargs)\u001b[0m\n\u001b[0;32m 710\u001b[0m \u001b[1;31m# since GUI widgets are gone. Either need to remove extra code to\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 711\u001b[0m \u001b[1;31m# allow for this non-existant use case or find a way to make it work.\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 712\u001b[1;33m \u001b[1;32mwith\u001b[0m \u001b[0mwriter\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msaving\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m_fig\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mfilename\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mdpi\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 713\u001b[0m for data in itertools.izip(*[a.new_saved_frame_seq()\n\u001b[0;32m 714\u001b[0m for a in all_anim]):\n", "\u001b[1;31mAttributeError\u001b[0m: 'str' object has no attribute 'saving'" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "<matplotlib.figure.Figure at 0xc3bd668>" ] } ], "prompt_number": 59 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Backends" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib has a number of \"backends\" which are responsible for rendering graphs. The different backends are able to generate graphics with different formats and display/event loops. There is a distinction between noninteractive backends (such as 'agg', 'svg', 'pdf', etc.) that are only used to generate image files (e.g. with the `savefig` function), and interactive backends (such as Qt4Agg, GTK, MaxOSX) that can display a GUI window for interactively exploring figures. \n", "\n", "A list of available backends are:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(matplotlib.rcsetup.all_backends)" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default backend, called `agg`, is based on a library for raster graphics which is great for generating raster formats like PNG.\n", "\n", "Normally we don't need to bother with changing the default backend; but sometimes it can be useful to switch to, for example, PDF or GTKCairo (if you are using Linux) to produce high-quality vector graphics instead of raster based graphics. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Generating SVG with the svg backend\n", "# RESTART THE NOTEBOOK: the matplotlib backend can only be selected before pylab is imported!\n", "# (e.g. Kernel > Restart)\n", "import matplotlib\n", "matplotlib.use('svg')\n", "import matplotlib.pylab as plt\n", "import numpy\n", "from IPython.display import Image, SVG\n", "#\n", "# Now we are using the svg backend to produce SVG vector graphics\n", "#\n", "fig, ax = plt.subplots()\n", "t = numpy.linspace(0, 10, 100)\n", "ax.plot(t, numpy.cos(t)*numpy.sin(t))\n", "# plt.savefig(\"test.svg\")\n", "#\n", "# Show the produced SVG file. \n", "#\n", "# SVG(filename=\"test.svg\")" ], "language": "python", "metadata": {}, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some **great** further reading/tutorials for its many options can be found here: \n", "* https://scipy-lectures.github.io/intro/matplotlib/matplotlib.html - Scipy-Matplotlib Sectopn\n", "* http://www.matplotlib.org - The project web page for matplotlib.\n", "* https://github.com/matplotlib/matplotlib - The source code for matplotlib.\n", "* http://matplotlib.org/gallery.html - A large gallery showcaseing various types of plots matplotlib can create. Highly recommended! \n", "* http://www.loria.fr/~rougier/teaching/matplotlib - A good matplotlib tutorial.\n", "* http://scipy-lectures.github.io/matplotlib/matplotlib.html - Another good matplotlib reference.\n" ] } ], "metadata": {} } ] }