{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# matplotlib - 2D and 3D plotting in Python\n", "\n", "J.R. Johansson (robert@riken.jp) http://dml.riken.jp/~rob/\n", "\n", "The latest version of this [IPython notebook](http://ipython.org/ipython-doc/dev/interactive/htmlnotebook.html) lecture is available at [http://github.com/jrjohansson/scientific-python-lectures](http://github.com/jrjohansson/scientific-python-lectures).\n", "\n", "The other notebooks in this lecture series are indexed at [http://jrjohansson.github.com](http://jrjohansson.github.com)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Introduction\n", "\n", "Matplotlib is an excellent 2D and 3D graphics library for generating scientific figures. Some of the many advantages of this library includs:\n", "\n", "* Easy to get started\n", "* Support for $\\LaTeX$-formatted labels and texts\n", "* Great control of every element in a figure, including figure size and DPI. \n", "* High-quality output in many formats, including PNG, PDF, SVG, EPS.\n", "* GUI for interactively exploring figures *and* support for headless generation of figure files (useful for batch jobs).\n", "\n", "One of the of the key features of matplotlib that I would like to emphasize, and that I think makes matplotlib highly suitable for generating figures for scientific publication,s is that all aspects of the figure can be controlled *programatically*, i.e. without any user interaction. This is important for\n", "reproducibility, and convenient when one needs to regenerate the figure with updated data or changs its appearance. \n", "\n", "More information, including full documentation and an extensive gallery of examples, may be found at the Matplotlib web page: http://matplotlib.org/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get started with using Matplotlib in the IPython Notebook environment, we \n", "must setup the interaction between Matplotlib and IPython so that they will play well together. This is accomplished with the following command:\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Preferred style in IPython 1.0\n", "%matplotlib inline " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This sets up IPython to play nicely with the `%matplotlib` library; the `inline` keyword specifies that the output of Matplotlib plots should be displayed\n", "directly in the same notebook, just below the corresponding input cell. It does\n", "not, however, import and names to the namespace. To do so, the following are the \n", "standard imports that are always required to use Matplotlib:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For interactive use (but *not* to be used from within scripts), there is a\n", "convenience option which encapsulates all of the above steps:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Automatically include all names from the `pylab` package\n", "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As is clear from the message that IPython prints out, this is equivalent to\n", "running `%matplotlib`, followed by a sequence of `import`s. The exact `import`s\n", "performed may be found in the documentation of `%pylab`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab?" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you have a retina display with very high resolution, then you may want to \n", "configure IPython to use high-resolution output, using:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%config InlineBackend.figure_format = 'retina'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "An alternative option is to configure Matplotlib to output SVG (a vector\n", "figure format), instead of the standard PNG (a bitmap format), which should\n", "give much crisper output on any screen:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%config InlineBackend.figure_format = 'svg'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note, however, that for complex figures, SVG format may take much longer to \n", "draw than a PNG." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# MATLAB-like syntax\n", "\n", "The easiest way to get started with plotting using matplotlib is often to use\n", "the MATLAB-like syntax (API) provided by the `pylab` module of matplotlib. \n", "This is designed to be compatible with MATLAB's plotting functions, so it is easy to get started with if you are familiar with MATLAB.\n", "\n", "To use this API from matplotlib, we need to include the symbols in the `pylab`\n", "module, which happens automatically with the `%pylab inline` command discussed above." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Simple example of MATLAB-like syntax" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's begin by drawing a simple figure using the MATLAB-like plotting syntax.\n", "First we define the data we wish to plot:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x = linspace(0, 5, 10)\n", "y = x ** 2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we make the figure:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "figure()\n", "plot(x, y, 'r')\n", "xlabel('x')\n", "ylabel('y')\n", "title('title')\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "svg": [ "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 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\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n" ], "text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most of the plotting-related functions in MATLAB are covered by the `pylab`\n", "module, for example selecting colors and using subplots:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "subplot(1,2,1)\n", "plot(x, y, 'r--')\n", "subplot(1,2,2)\n", "plot(y, x, 'g*-');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "svg": [ "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", 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" \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n" ], "text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The good thing about the `pylab` MATLAB-style syntax is that it is easy to get\n", "started with if you are familiar with MATLAB, and it has a minimum of coding overhead for simple plots. \n", "\n", "However, I'd encourage you *not* to use the MATLAB-compatible API for anything but the simplest figures.\n", "Instead, I recommend learning and using matplotlib's *object-oriented \n", "plotting* API. It is remarkably powerful, and, for advanced figures, with\n", "subplots, insets and other components, it is very nice to work with. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The matplotlib object-oriented API\n", "\n", "The main idea of object-oriented programming is to have objects that one can\n", "apply functions and actions on, and no object or program states should be\n", "global (such as happens with the MATLAB-like API). The real advantage of this\n", "approach becomes apparent when more than one figure is created, or when a figure contains more than one subplot. \n", "\n", "To use the object-oriented API, we start out very much like in the previous example, but instead of creating a new global figure instanc,e we store a reference to the newly created figure instance in the `fig` variable, and from\n", "it we create a new axes instance `axes` using the `add_axes` method in the `Figure` class instance `fig`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n", "\n", "axes.plot(x, y, 'r')\n", "\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "svg": [ "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 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\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n" ], "text": [ "" ] } ], "prompt_number": 22 }, { "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 place, 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": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we don't care to be 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": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title('title');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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N5swBRowA7vD+EXHNI+zYsSOSkpJu+DzPBrGwDz8ERo70mht7yoq5Tde5fFkOT37/vepI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\nx8UGivC4BG+RmQl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} ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "That was easy, but it isn't so pretty with overlapping figure axes and labels, right?\n", "\n", "We can deal with that by using the `fig.tight_layout` method, which automatically adjusts the positions of the axes on the figure canvas so that there is no overlapping content:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title('title')\n", " \n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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XX5fTN775hnMLHcyQV1ImkwkJCQnw8vJy5mFdW9E28NOmsUG5EdaSA/zwg9xh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\nFpsUEREZFpsUEREZ1v8DHoxRPmdyZOcAAAAASUVORK5CYII=\n" } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure size, aspect ratio and DPI\n", "\n", "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 with width and height of the figure in inches, and `dpi` is the dot-per-inch (pixel per inch). To create a figure with size 800 by 400 pixels we can do: " ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,4), dpi=100)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same arguments can also be passed to layout managers, such as the `subplots` function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = plt.subplots(figsize=(12,3))\n", "\n", "axes.plot(x, y, 'r')\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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DAQAAAFZk+okyAAAAYEUEZQAAAMANgjIAAADgBkEZAAAAcIOgDAB+6Ouvv9aQ\nIUNUXV2t8+fPa9CgQfruu+/MLgsAAgpbLwDAT7300ku6ePGiLly4oF69emn+/PlmlwQAAYWgDAB+\n6vLly0pOTlZYWJh2797NnlgA8DBaLwDAT507d07nz59XZWWlLly4YHY5ABBwOFEGAD+VmpqqadOm\n6fjx4yoqKtKyZcvMLgkAAkqo2QUAANpu9erVuuWWW/Twww+rrq5O9957r5xOpxwOh9mlAUDA4EQZ\nAAAAcIMeZQAAAMANgjIAAADgBkEZAAAAcIOgDAAAALhBUAYAAADcICgDAAAAbvwfvdci7sHHVqUA\nAAAASUVORK5CYII=\n" } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Saving figures\n", "\n", "To save a figure a file we can use the `savefig` method in the `Figure` class. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig.savefig(\"filename.png\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can also optionally specify the DPI, and chose between different output formats." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig.savefig(\"filename.png\", dpi=200)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "fig.savefig(\"filename.svg\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What formats are available and which ones should be used for best quality?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib can generate high-quality output in a number formats, including PNG, JPG, EPS, SVG, PDF. For scientific papers, use PDF whenever possible (compile LaTeX documents with `pdflatex`, which can include PDFs using the `includegraphics` command). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Legends, labels and titles\n", "\n", "Now that we covered the basics of how to create a figure canvas and adding axes instances to the canvas, let's look at how decorate a figure with titles, axis labels and legends:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure titles**\n", "\n", "A title can be added to each axis instance in a figure. To set the title use the `set_title` method in the axes instance:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.set_title(\"title\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 18, "text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Axis labels**\n", "\n", "Similarly, using the methods `set_xlabel` and `set_ylabel` we can set the labels of the X and Y axes:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 19, "text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Legends**\n", "\n", "Legends to curves in a figure can be added in two ways. First method is to use the `legend` method of the axis object and pass a list/tuple of legend texts for the curves that have previously been added:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ax.legend([\"curve1\", \"curve2\", \"curve3\"]);" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The method described above follow the MATLAB API. It is somewhat prone to errors and unflexible if curves are added to or removed from the figure (resulting in wrong label being used for wrong curve).\n", "\n", "A better method is to use the `label=\"label text\"` keyword argument when plots a other objects are added to the figure, and then using the `legend` method without arguments to add the legend: " ] }, { "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": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The advantage with this method is that if curves are added or removed from the figure, the legend is automatically updated accordingly.\n", "\n", "The `legend` function takes and 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 most common alternatives 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": [ { "output_type": "pyout", "prompt_number": 22, "text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following figure show how to use the figure title, axis labels and legends described above:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "ax.plot(x, x**2, label=\"y = x**2\")\n", "ax.plot(x, x**3, label=\"y = x**3\")\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_title('title')\n", "ax.legend(loc=2); # upper left corner" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 23, "text": [ "" ] }, { "output_type": "display_data", "png": 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TIDIigiBg88nN6L+5P4Y7DMeRmUdYAIwcewJERuLGnRuYtWMWbpfexr7Afehl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\nRKFQKODm5gapVIphw4bB1dV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} ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Formatting text: LaTeX, fontsize, font family\n", "\n", "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 frequencly 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 and 'r', like `r\"\\alpha\"` or `r'\\alpha'` instead of `\"\\alpha\"` or `'\\alpha'`.\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.set_xlabel(r'$\\alpha$', fontsize=18)\n", "ax.set_ylabel(r'$y$', fontsize=18)\n", "ax.set_title('title')\n", "ax.legend(loc=2); # upper left corner" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 24, "text": [ "" ] }, { "output_type": "display_data", "png": 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4Mf8EA8LAsSdBRABU959+bfdrKKwsxCG/QxhiPUTskkgLsCdBZOAEQcA3Z76B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\n2CWJZsWKFVi/fj2MuPsjJBI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} ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also change the global font size and font family, which applies to all text elements in a figure (tick labels, axis labels and titles, legends, etc.):" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Update the matplotlib configuration parameters:\n", "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'serif'})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title')\n", "ax.legend(loc=2); # upper left corner" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "pyout", "prompt_number": 26, "text": [ "" ] }, { "output_type": "display_data", "png": 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uy2lQajtclpGRgVatWmHEiBHYu3evrL24uBiWlpbo06ePLGgWLlyIpUuX4tat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\nEKI0FDKEEEKUhkKGEEKI0vwfGKhGAA3xsPcAAAAASUVORK5CYII=\n" } ], "prompt_number": 26 }, { "cell_type": "code", "collapsed": false, "input": [ "# restore\n", "matplotlib.rcParams.update({'font.size': 12, 'font.family': 'sans'})" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting colors, linewidths, linetypes\n", "\n", "### Colors\n", "\n", "In matplotlib we can define the colors of lines and other graphical elements in a number of way. 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.-' mean 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": [ { "output_type": "pyout", "prompt_number": 28, "text": [ "[]" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In matplotlib we can also define colors by their name 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 = 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": [ { "output_type": "pyout", "prompt_number": 29, "text": [ "[]" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Line and marker styles\n", "\n", "To change the line width we can use the `linewidth` or `lw` keyword argument, and the line style can be selected using the `linestyle` or `ls` keyword arguments:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = 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": [ { "output_type": "display_data", "png": 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MGTaM/W09CKS3LYMtmdm+fTtuPeNW1NbU4r4n7kNTpanbYJucmuxyXjTvymBL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\nJiaiR48eeOihhzBkyBC/DiYeMdiSVQy25A2DLbnjKdiqFIX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} ], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Control over axis apperance\n", "\n", "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.\n", "\n", "### Plot range\n", "\n", "The first thing we might want to configure is the ranges of the axes. We can do it 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 = 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": [ { "output_type": "display_data", "png": 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iK82EEEJIDfZm7MXorqO5jkEUnKhShDUX1mCnx06uoyg0utJMCCGEVENUKUJs\neixGd6OimXBr3419MNMxQ+92vbmOotCoaCaEEEKqcfbuWZjpmMHK0IrrKETBhZ0Pw/ze87mOofCo\naCZERjwqfsR1BELIW/am76WrzIRz5+6ew+OSx/jM5jOuoyg8KpoJkRG7U3dzHYEQ8lolq0RsRixN\nNUc4F3Y+DHOd50JZSZnrKAqPimZCZES0MJrrCISQ187fPQ8DTQN0MerCdRSiwLLzs3H6zmlMcpjE\ndRSCOormyMhIODo6QkNDA5Mm/f8P7MKFCxgyZAgMDQ1hYmKCMWPG4J9//pF4rp+fH4yMjGBkZISF\nCxdKJz0hciLlUQrynudxHYMQ8hrNmkFkwf8u/A8+PXygrabNdRSCOormNm3aICAgAF999ZXE8qdP\nn2LatGm4c+cO7ty5A11dXYmiOioqCgcOHEBKSgpSUlJw6NAhREVFSecMCJED24TbMN5+PNcxCCF4\n1TVjb/pefM6nrhmEO/kv8rHr+i7McprFdRTyWq1Fs7u7O9zc3GBoaCixfPjw4fD09ISOjg40NTUx\nc+ZMnD17Vrw+OjoaCxYsgIWFBSwsLLBgwQJs3bpVKidASEtXUVmBndd3YoJgAtdRCCEALt6/CF01\nXXQz7sZ1FKLANlzeADcbN5jrmnMdhbxWr5ubMMZqXX/69GnY2tqKH6enp0MgEIgf29vbIy0trdrn\nBgUFif/v4uICFxeX+kQiRC4kJCTgl7hfoHxbGTHPYriOQwgBzZpBuFdWUYaIixE4Pu4411HIW+pV\nNPN4vBrXpaSkYNmyZTh48KB4WXFxMVq1aiV+rKenh+Li4mqf/3bRTIiicXFxQdS/UVg0fhFmOM1A\ncHAw15EIUWiMMexN34tDXx7iOgpRYLuu74LAVAA7Uzuuo5C31Gv2jJquNGdnZ2PkyJFYu3Yt+vTp\nI16uo6ODoqIi8ePCwkLo6Og0Mioh8qewtBBHso7Ai+/FdRRCCIDLDy5DXUUdtia2dW8sZS4uLtDU\n1ISuri50dXXRtWtX8br4+HjY2NhAW1sbAwcORG5uLodJSVNijNHNTGRUvYrm6q4037lzB0OGDMHS\npUsxduxYiXV8Ph/Jycnix0KhUKL7BiHklT3pezCo8yAYahnWvTEhROr2ZrzqmlHbN6zNhcfjYd26\ndXj27BmePXuGjIwMAEBeXh48PT0RGhqKgoICODo6wsuL/vCWF8dyjkFZSRmDOw/mOgp5R61Fs0gk\nQmlpKSoVXJgxAAAgAElEQVQqKiASiVBWVgaRSIT79+9j4MCBmDVrFnx8fKo8b8KECQgPD8eDBw9w\n//59hIeHw9vbW1rnQEiLtU24DRPsaQAgIbLgTdcMWbqhSXXf9MbFxcHW1haenp5QU1NDUFAQhEIh\nMjMzOUhImlrY+TDMc54nE3+4EUm1Fs3Lli2DlpYWVq1ahR07dkBTUxMhISHYtGkTbt26haCgIPHX\nRnp6euLn+fr6wtXVFXZ2drC3t4erq2u1xTUhiuxmwU3cyLuBEVYjuI5CCAFw7Z9r4IEHgamg7o2b\nib+/P4yNjdG3b18kJiYCANLS0iQG22tpacHS0hKpqalcxSRNRPiPEOlP0vGl3ZdcRyHVqHUgYFBQ\nUI0D9ZYuXVrrjletWoVVq1Y1OBgh8m67cDu+sP0CaspqXEchhOD/Z82QlSt8q1atAp/Ph5qaGnbv\n3g1XV1ckJyejpKQExsbGEtvWNOCeZqhqWcIvhGN2z9n0udAEEhISkJCQ0KT75LG65pOTIh6PV+d0\ndoTII8YYLCMs8evoX+Fo4SheLsttQpazEdJYjDFYR1pjt+duiTZZm+ZuEyNGjMAnn3yC7OxslJeX\nY926deJ1dnZ2+O677+Du7s5ZPtI494vuw+4nO+TMyYG+pj7XceROU7SHeg0EJIQ0rbN3z0JDRQM9\nzHtwHYUQgle3sq+orGgRbZLP50MoFIofl5SUICcnB3w+n8NUpLEiLkZgnP04KphlGBXNhHAgWhiN\nCfYTZOZrYEIUnSzNmgG8mqr12LFj4sH4O3fuxJkzZzB8+HC4u7sjNTUVcXFxKC0tRXBwMBwcHGBt\nbc11bNJAxS+L8cvVX/CN8zdcRyG1oKKZkGb2ovwFYtNjMc5+XJPuNzIyEo6OjtDQ0MCkSZMk1tU1\np6ufnx+MjIxgZGSEhQsXNmkuQmQdYwx70vZgdFfZuQtgeXk5AgICYGJiAmNjY6xbtw4HDhyApaUl\njIyMEBsbi8WLF8PAwACXL19GTAzdUbQl23xtMwZ0GoDO+p25jkJqUa87AhJCms7Bvw/C0cIRbfTa\nNOl+27Rpg4CAABw7dgwvXrwQL38zp+umTZvg6uqKJUuWwMvLC+fPnwcAREVF4cCBA0hJSQEADBky\nBJ06dYKvr2+T5iNEVqU9ScPz8ufo2aYn11HEjIyMcPHixRrXDxo0SDxvM2nZKiorsObCGuz23M11\nFFIHutJMSDOLFkZjomBik+/X3d0dbm5uMDSUvFFKXXO6RkdHY8GCBbCwsICFhQUWLFiArVu3Nnk+\nQmSVrM2aQRTLvox9sNC1gHNbZ66jkDrQlWZCmtE/xf/g/L3z2PP5Hqkd493RwTXN6ZqWlgZra2uk\np6dLrLe3t0daWlq1+6bpq4g82pu+FxtdN9a5nTSmsCKK7c0ts/36+HEdhdQDFc2ENKOdKTvxmc1n\n0FbTltox3r1aVtOcrs+ePQMAFBcXo1WrVhLrqpvvFUCN87YT0lJlPMnA09Kn9brK9+4fisHBwVJM\nRhTBubvnkPc8D6O6jOI6CqkH6p5BSDPalrJNKl0z3vbulWYdHR0UFRVJLCssLISurm616wsLC6Gj\noyPVjITIir3pe+HZzRNKPPo4JM3vh/M/YK7zXCgrKXMdhdQDvUsQ0kyS/0lGYWkh+nXoJ9XjvHul\nua45Xfl8PpKTk8XrhUIhbG1tpZqREFmxN2OvTM2aQRRH1r9ZSMpNgreDN9dRSD1R0UxIM9km3Ibx\ngvFSu6IlEonEc7qKRCKUlZVBJBLVOafrhAkTEB4ejgcPHuD+/fsIDw+Ht7e3VDISIksy/83Ek5In\n6NO+D9dRiAL631//g28PX6l21yNNi4pmQppBuagcu67vwnj78VI7xrJly6ClpYVVq1Zhx44d0NTU\nRGhoaJ1zuvr6+sLV1RV2dnawt7eHq6srfHx8pJaTEFmxN30vPLp6UNcM0uz+ff4vdl/fjVk9Z3Ed\nhbwHHuPwxvRNcR9wQlqCPzL/QOiZUJybfK7W7WS5TchyNkIa4sOoDxE+LBwuHV0a9HxZbxOynk+R\nhZwOwc2Cm9jstpnrKAqjKdoDzZ5BSDPYlrINEwQTuI5BCHktJz8H95/dx8ftP+Y6ClEwpRWlWHdp\nHU6OP8l1FPKe6DspQqSs4EUBjmUfgxffi+sohJDX3nTNoFkLSHPbdX0XHMwcwDfhcx2FvCcqmgmR\nsj3pezDkgyHQ19TnOgoh5DWaNYNw4c3NTOb3ns91FNIAVDQTImXRwmhMsKeuGYTIittPb+P209vo\n37E/11GIgjmafRQqSioY1GkQ11FIA1DRTIgUZednIzs/G8Mth3MdhRDy2t70vXC3cYeKEg3rIc0r\n7HwYFvReUGU+fdIyUNFMiBRtE27Dl7ZfQlVZlesohJDX9qbvxehu1DWDNK/kf5JxI+8GvGxpfEtL\nRUUzIVJSySqxPWW71G+bTQipv9zCXGTnZ2NAxwFcRyEKJux8GGb3nA01ZTWuo5AGoqKZEClJyk2C\njpoOHMwcuI5CCHktNj0WbjZu9O0PaVb3iu7hj8w/4NODbhzVklHRTIiURAujMVEwkfquESJDaNYM\nwoWIixGYIJhAsyi1cLUWzZGRkXB0dISGhgYmTZoksS4+Ph42NjbQ1tbGwIEDkZubK7Hez88PRkZG\nMDIywsKFC5s+OSEy7Hn5c8RlxGGs3ViuoxBCXrtfdB8ZTzIwqDPNXECaz7OyZ9h0dRO+7vU111FI\nI9VaNLdp0wYBAQH46quvJJbn5eXB09MToaGhKCgogKOjI7y8/r9je1RUFA4cOICUlBSkpKTg0KFD\niIqKks4ZECKD9t/YD+e2zjDXNec6CiHktbiMOIzqMor6lJJmtenaJgzsNBCd9DtxHYU0Uq1Fs7u7\nO9zc3GBoaCixPC4uDra2tvD09ISamhqCgoIgFAqRmZkJAIiOjsaCBQtgYWEBCwsLLFiwAFu3bpXa\nSRAia7YJt9HczITImD3pe2jWDNKsKior8L8L/6ObmciJek1SyRiTeJyWlgaBQCB+rKWlBUtLS6Sl\npcHa2hrp6ekS6+3t7ZGWllbtvoOCgsT/d3FxgYuLy3vEJ0T2PHj2ABfvX0ScV1yd2yYkJCAhIUH6\noQhRcA+fPcT1x9cxpPMQrqMQBRKXEYd2rdqhV9teXEchTaBeRfO7A5lKSkpgbGwssUxPTw/Pnj0D\nABQXF6NVq1YS64qLi6vd99tFMyHyYGfKTnh09YCWqlad2777h2JwcLAUkxGiuPbd2IdPrD6Buoo6\n11GIgmCM4YdzP2DRx4u4jkKaSL1mz3j3SrOOjg6KiooklhUWFkJXV7fa9YWFhdDR0WlsVkJkHmPs\n1W2zBdQ1gxBZsid9Dz7v9jnXMYgCScpNQkFpAVytXbmOQppIvYrmd6808/l8CIVC8eOSkhLk5OSA\nz+eL1ycnJ4vXC4VC2NraNkVeQmTatX+u4Xn5c/Rt35frKISQ1x4VP8K1h9cw9IOhXEchCiTsfBjm\nOs+FspIy11FIE6m1aBaJRCgtLUVFRQVEIhHKysogEong7u6O1NRUxMXFobS0FMHBwXBwcIC1tTUA\nYMKECQgPD8eDBw9w//59hIeHw9vbuznOhxBObRNuw3jBeCjxaAp0QmTF1uSt+MzmM2iqanIdhSiI\nzH8zce7uOXg7eHMdhTShWj/Zly1bBi0tLaxatQo7duyApqYmQkNDYWRkhNjYWCxevBgGBga4fPky\nYmJixM/z9fWFq6sr7OzsYG9vD1dXV/j40F1wiHwrF5Vjd+pumjWDEBkiqhRh/eX1mN1zNtdRiAJZ\nc2ENfB196zW2hbQcPPZuh+XmPDiPV6W/NCEt1aG/D2HV2VVI+iqpwfuQ5TYhy9kIqcmBGwew8uxK\nnJ98vsn3LettQtbzyau853mwirBCxswMmOmYcR2HvNYU7YG+Qyakiby5bTYhRHZEXorELKdZXMcg\nCuSnSz/Bo6sHFcxyiIpmQppA/ot8nLh5Ap/zaXQ+IbIi40kGrj+63qJvaJKVlQUNDQ2MHz9evCw+\nPh42NjbQ1tbGwIEDkZuby2FC8rbSilKsu7QO85zncR2FSAEVzYQ0gV9Tf8Vwy+FordGa6yiEkNfW\nXVoHnx4+LXpu5pkzZ6Jnz57iWazy8vLg6emJ0NBQFBQUwNHREV5eXhynJG/sSNmBD80/BN+Ez3UU\nIgVUNBPSBLalbKOuGYTIkKKyIuy6vgu+PXy5jtJgMTEx0NfXx6BBg8R9MePi4mBrawtPT0+oqakh\nKCgIQqEQmZmZHKcllawS4efD6ZbZcqxedwQkhNQs899M3Cq4RXPAEiJDtgm3YXDnwWij14brKA1S\nVFSEwMBAnDp1Chs3bhQvT0tLg0AgED/W0tKCpaUlUlNTxdO+vu3tu+6+ewdS0rSOZh+Fuoo6BnYa\nyHUUAiAhIQEJCQlNuk8qmglppG3CbRhrPxYqStScCJEFlawSkRcjsdF1Y90by6iAgABMmTIFFhYW\n4PF44u4ZJSUlMDY2lthWT08PxcXF1e7n7aKZSFfY+TDM7z2/yg3hCDfe/SMxODi40fukT3lCGqGS\nVWJ7ynYc/OIg11EIIa/F34yHuoo6Pm7/MddRGiQ5ORnx8fG4du0aAIAxJu6eoaOjg6KiIontCwsL\noaur2+w5yf+79vAa/s77G1586l8uz6hPMyGNkHg7Efoa+hCYCeremGP37t2Dq6srDA0NYW5ujtmz\nZ0MkEgGg0fhEvryZZq6lXvFLTEzE7du30b59e5ibmyMsLAyxsbHo0aMH+Hw+hEKheNuSkhLk5OSA\nz6eBZ1wKOx+GOb3mQFVZlesoRIqoaCakEbalbMMEQcu4A+CcOXNgZGSEhw8fIjk5GYmJiVi/fj3y\n8vLg4eFBo/GJXLj99DbO5p7Ff+z+w3WUBvPx8cHNmzchFAqRnJyMadOm4ZNPPsHx48fh7u6O1NRU\nxMXFobS0FMHBwXBwcKi2PzNpHveK7uFw1mH49KA7H8s7KpoJaaCSlyXYf2N/i/lwTktLg5eXF9TU\n1GBqaorhw4cjLS0NcXFxsLOzo9H4RC6sv7QeEx0mQltNm+soDaapqQkTExOYmJjA1NQUOjo60NTU\nhKGhIYyMjBAbG4vFixfDwMAAly9fRkxMDNeRFdrav9ZiosNEmnJUAVCfZkIaaN+Nffio3Uct5q5P\nw4YNw65du9C/f3/k5+fjyJEjCAkJwalTp+o9Gp9G4hNZ9rz8ObYkb8GFyReksn9pjMavj8DAQInH\ngwYNQkZGRrPnIFUVlRVh07VNuOJzhesopBlQ0UxIA0ULozGl+xSuY9RbUFAQBg8eDD09PYhEInh7\ne8PNzQ2HDh2q92h8GolPZFlMagx6temFDww+kMr+pTEan7Rsm65uwuDOg9GxdUeuo5BmQN0zCGmA\ne0X3cOXBFYzqMorrKPXCGMOwYcPw+eef4/nz58jLy0N+fj78/PxoND6RC4wxRFyMwKyes7iOQhRE\nRWUFfvzrRyzovYDrKKSZUNFMSANsF27H6G6joamqyXWUesnLy8OVK1cwa9YsqKqqwsDAAN7e3jh8\n+DCNxidy4dzdcyh5WUI3GSLNJjY9Fu1btYdTGyeuo5BmQkUzIe+prKIMkZciMcNpBtdR6s3IyAjm\n5ub46aefIBKJ8PTpU0RHR0MgENBofCIXIi9FYqbTTCjx6GONSB9jDD+c/4Fuma1g6N2FkPcULYyG\nwFQABzMHrqPUG4/HQ1xcHA4dOgQjIyNYWVlBXV0da9asodH4pMV7+OwhjmYfxUSHiVxHIQri9J3T\nKCwthGsXV66jkGbEY29uM8TFwXk8cHh4Qt5bRWUFukR2wVa3rfi4Q9PfbUyW24QsZyOKLSghCI9K\nHuGnT35q1uPKepuQ9XwtVUVlBZx+dsI853kYLxjPdRxST03RHmj2DELew560PTDXMZdKwUwIeX8v\nRS8RdSUKJ8ef5DoKURA/XvgRhpqGGGc/jusopJlR0UxIPTHGsPLsSqwYtILrKISQ1+Iy4tDVqCv4\nJjRwlUjf7ae3sSJpBc5PPt9ib9NOGo76NBNST4ezDoMHHkZYjuA6CiHktciLkTTNHGkWjDHMPDwT\nc53nwsrQius4hAN0pZmQemCMYXnScizsu5CuLhAiI649vIbcwtwWM186adn2pu/F7ae3sc9rH9dR\nCEeoaCakHs7knsGj4kcY3W0011EIIa9FXorEdMfpUFGijzIiXU9Ln+KbY9/g19G/Qk1Zjes4hCON\n6p5x7949uLq6wtDQEObm5pg9ezZEIhEAID4+HjY2NtDW1sbAgQORm5vbJIEJ4cKKpBXw6+NHH86E\nyIh/n/+LuIw4TPmw5dzKnrRc/vH++NT6U/Rt35frKIRDjSqa58yZAyMjIzx8+BDJyclITEzE+vXr\nkZeXBw8PD4SGhqKgoACOjo7w8vJqqsyENKtrD68h5VEKJggmcB2FEPLa5mubMarLKBhrG3Mdhci5\nc3fP4cCNA1g5aCXXUQjHGlU0p6WlwcvLC2pqajA1NcXw4cORlpaGuLg42NnZwdPTE2pqaggKCoJQ\nKERmZmZT5Sak2axIWoF5zvOgrqLOdRRCCABRpQjrL6/HLCcaAEik66XoJXwO+WDNsDXQ19TnOg7h\nWKO+ax42bBh27dqF/v37Iz8/H0eOHEFISAhOnToFgUAg3k5LSwuWlpZITU2tcmveoKAg8f9dXFzg\n4uLSmEiENKnMfzNx6vYpbBq1SSr7T0hIQEJCglT2TYi8+iPrD5hqm8KpjRPXUYicCzsXhvat2mMM\nfwzXUYgMaFTRHBQUhMGDB0NPTw8ikQje3t5wc3PDoUOHYGws+ZWZnp4eiouLq90HIbLq+7PfY6bT\nTOiq60pl/+/+oRgcHCyV4xAiT2iaOdIccvJzEHY+DJd9LtOsSQRAI7pnMMYwbNgwfP7553j+/Dny\n8vKQn58PPz8/6OjooKioSGL7wsJC6OpKp/AgRBruFd1DXEYcZveczXUUQshrN/JuQPhIiM+7fc51\nFCLHGGOY9sc0+PXxQ8fWHbmOQ2REg4vmvLw8XLlyBbNmzYKqqioMDAzg7e2Nw4cPg8/nQygUirct\nKSlBTk4O+Hy6YxNpOcLOh8HbwRuGWoZcRyGEvLbu0jpM/XAqjTEgUrXz+k48KXmCb5y/4ToKkSEN\nLpqNjIxgbm6On376CSKRCE+fPkV0dDQEAgHc3d2RmpqKuLg4lJaWIjg4GA4ODlX6MxMiq/Ke5yE6\nORrzes/jOgoh5LWisiLsTNmJaY7TuI5C5Ni/z//FguMLsNF1I1SVVbmOQ2RIg4tmHo+HuLg4HDp0\nCEZGRrCysoK6ujrWrFkDIyMjxMbGYvHixTAwMMDly5cRExPTlLkJkaqIixHw7OaJtnptuY5CCHlt\nu3A7BnUeRO2SSNV/T/wXY/hj0LNNT66jEBnDY4wxzg7O44HDwxNSrWdlz9B5bWec++ocrAytmvXY\nstwmZDkbkX+MMXRb3w0bPtmA/h37cx0HgOy3CVnPJ4sSbidg/L7xSJuRBj11Pa7jkCbUFO2hUfM0\nEyKPoq5EYWCngc1eMBNCahZ/Kx6qSqro16Ef11GInCqrKIPv776IGBFBBTOpFt0TmJC3lFWUYc2F\nNfj9y9+5jkIIecubaeZo6i8iLSuSVqCbcTd8ZvMZ11GIjKKimZC3RAujITAVoLt5d66jEEJeu/30\nNs7knsFOj51cRyFy6kbeDURejETytGSuoxAZRkUzIa9VVFbg+7PfY4vbFq6jEELesuHyBkwUTIS2\nmjbXUYgcqmSV8P3dF0v7L6VBpqRWVDQT8tqetD0w0zHDxx0+5joKIeS1F+UvsPnaZpybfI7rKERO\nbbm2BS/KX2Cm00yuoxAZR0UzIXg1Mn/l2ZVYMWgF11EIIW+JSY2BUxsnWBpYch2FyKHHJY/hH++P\n4+OPQ1lJmes4RMbR7BmEADicdRg88DDCcgTXUQghrzHGEHExArOcZnEdhRPjxo2Dubk59PT00Llz\nZ4SGhorXxcfHw8bGBtra2hg4cCByc3M5TNpyzTs2DxMdJsLBzIHrKKQFoKKZKDzGGJYnLcfCvgtp\nZD4hMuT8vfN49vIZhlkO4zoKJ/z9/XHr1i0UFRXhyJEjiIiIwLFjx5CXlwcPDw+EhoaioKAAjo6O\n8PLy4jpui3Mi5wTO3j2LoP5BXEchLQR1zyAK70zuGTwqfoTR3UZzHYUQ8pbIi5GY6TQTSjzFvL7D\n5/MlHquqqsLY2BhxcXGws7ODp6cnACAoKAhGRkbIzMyEtbU1F1FbnOflzzHtj2lYP3I9DTAl9UZF\nM1F4K5JWwK+PH1SUqDkQIisePnuII9lHsP6T9VxH4dSMGTMQHR2NsrIyREZG4sMPP0R0dDQEAoF4\nGy0tLVhaWiI1NbVK0RwUFCT+v4uLC1xcXJopuWxbdnoZnCycMMKKuuTJq4SEBCQkJDTpPuk22kSh\nXXt4DZ/u/hQ359yEuoo613Gk3iZiYmIQHByMu3fvwszMDFu3bkXfvn0RHx+PmTNn4u7du+jVqxe2\nbt2K9u3bN2s2Qt72XeJ3ePDsATZ8uoHrKDVqrjbBGENiYiJGjx6Nw4cPY+PGjTA2NsaKFf8/cLlv\n377w8fHBhAkTmj1fS3P90XUM3DYQ16dfh5mOGddxSDOh22gT0kgrz67EPOd5MlEwS9uJEyewcOFC\nREdHo7i4GGfOnEHnzp2pfySROS9FL7Hh8gaaAuw1Ho8HFxcXfP7559i9ezd0dHRQVFQksU1hYSF0\ndXU5SthyVLJK+Pzug5ABIVQwk/dGRTNRWJn/ZuLPW3/Cp4cP11GaRWBgIAIDA9GzZ08AgLm5OSws\nLCT6R6qpqSEoKAhCoRCZmZkcJyaKal/GPnQx6gI7Uzuuo8iU8vJyaGtrg8/nQygUipeXlJQgJyen\nSh9oUlXU5Sgo85QxtcdUrqOQFoiKZqKwvj/7PWY6zYSuuvxfnRGJRLhy5QoeP34MKysrtGvXDrNn\nz0ZpaSnS0tJq7B9JCBciL0Uq7DRzbzx58gQxMTEoKSmBSCTCsWPHsGfPHri5ucHd3R2pqamIi4tD\naWkpgoOD4eDgQIMA6/Dg2QMsTViKqE+jFHZwKWkcGvlEFNK9onuIy4hD1uwsrqM0i0ePHqG8vByx\nsbFISkqCiooK3NzcEBISgpKSEhgbG0tsr6enh+Li4ir7oUFFRNqS/0nG7ae34WbjxnWUKqQxsKgm\nPB4PGzZswPTp08EYg7W1NbZv3w4nJycAQGxsLGbNmoVx48bB2dkZMTExzZKrJfv66Nfw7eELvgld\nkScNQwMBiUKad2weACB8WDjHSSRJq00UFBTA0NAQ0dHRGD9+PAAgLi4OISEh6NevH8rLy7Fu3Trx\n9nZ2dvjuu+/g7u4u9WyEvG3KwSnorN8Ziz5exHWUOsl6m5D1fM3p98zfMffYXKRMS4GmqibXcQgH\nmqI90JVmonDynudha/JWpExP4TpKs9HX10fbtm2rXcfn8xEdHS1+TP0jCVcelzxGbEYs/p71N9dR\niBwpflmMmYdnYvOozVQwk0ahTj1E4URcjIBnN0+01au+iJRXkyZNQkREBJ48eYKCggKsWbMGrq6u\n1D+SyIyghCBMFEyEibYJ11GIHFl6ain6d+iPQZ0HcR2FtHB0pZkolGdlz7D+0nqc++oc11GaXUBA\nAPLy8mBtbQ0NDQ14eXlh8eLFUFNTo/6RhHNpj9OwN30vbsy6wXUUIkeuPryKndd3InU6DWwmjUd9\nmolCCTsXhosPLuLX0b9yHaVastwmZDkbaflG7hyJYR8Mw9fOX3Mdpd5kvU3Iej5pq6isgPMvzpjV\ncxa8Hby5jkM4Rn2aCXkPZRVlCL8Qjt+//J3rKISQtxzLPobs/Gzs/2I/11GIHIm8GAk9dT1MFEzk\nOgqRE1Q0E4URLYyGwFSA7ubduY5CCHmtorIC84/Px+ohq6GmrMZ1HCIncgtzEXI6BOcmnwOPx+M6\nDpETjR4IGBMTg65du0JHRweWlpZISkoCAMTHx8PGxgba2toYOHAgcnNzGx2WkIaqqKzA92e/h39f\nf66jEELesvnaZhhrG2NUl1FcRyFygjGGWYdn4eteX8PakAY0k6bTqKL5xIkTWLhwIaKjo1FcXIwz\nZ86gc+fOyMvLg4eHB0JDQ1FQUABHR0d4eXk1VWZC3tve9L0w0zHDxx0+5joKIeS1orIiBCYEImxo\nGF0NJE0mLiMO2fnZ8Ovrx3UUImcaNRDwo48+wtSpUzFp0iSJ5Rs3bsS2bdvEV52fP38OIyMjJCcn\nS0xjpeiDFEjzYIzBIcoBywcuxyfWn3Adp1ay3CZkORtpmRbFL8LD4ofY4raF6ygNIuttQtbzSUNh\naSH46/nY7bmbLpIQCZwOBBSJRLhy5Qrc3NxgZWWF0tJSfPbZZ1i9ejXS0tIgEAjE22ppacHS0hKp\nqalV5n6l2/ISaTucdRgAMNJqJMdJqmrO2/ISIkvuPL2DqCtRSJmmODcZItK3+M/FGGE1ggpmIhUN\nLpofPXqE8vJyxMbGIikpCSoqKnBzc0NISAhKSkpgbGwssb2enh6Ki4ur7OftopkQaViRtAL+ff1l\n8uvfd/9QDA4O5i4MIc3IP94fc3rOQRu9NlxHIXLiwr0LiMuIQ9qMNK6jEDnV4D7NmpqvbkU5e/Zs\nmJqawtDQEPPmzcPhw4eho6ODoqIiie0LCwuhq6vbuLSEvKfTd07jn+J/MLrbaK6jEEJeu3DvAk7f\nOY0FHy3gOgqRE+Wicvgc8kHY0DDoa+pzHYfIqQYXzfr6+mjbtvrbEPP5fAiFQvHjkpIS5OTkgM/n\nN/RwhLy3isoKfH30awS5BEFFiWZXJEQWMMYw79g8hA4MhbaaNtdxiJwIPx8OC10LfGH7BddRiBxr\n1OwZkyZNQkREBJ48eYKCggKsWbMGrq6ucHd3R2pqKuLi4lBaWorg4GA4ODhU6c9MiDT978L/YKRl\nhObEyBoAACAASURBVLF2Y7mOQgh57be031AmKsN4wXiuoxA5cbPgJlafW42fPvlJJrvhEW4JhcAn\nTTQHQKOK5oCAADg5OcHa2hrdunVDjx49sHjxYhgZGSE2NhaLFy+GgYEBLl++jJiYmKZJTEg93Cq4\nhZVJK7Hhkw30JkqIjCitKIXfST+EDw2HEq/RtwkgBIwxTP9jOr7t8y066XfiOg6RIbduAePGAcOG\nvfrXFBo15VyjD66A0+EQ6WOMYeSukejXvh/8P25ZNzOR5TYhy9lIy7AqaRX+uv8X4rziuI7SJGS9\nTch6vqaw+/purDy7EpenXoaqsirXcYgMePwYCAkBdu4EZs8G5s8HdHU5nnKOEFn1a9qvuFd0jwYZ\nESJDHpc8xupzq3F+8nmuoxA5kf8iH/OOz8N+r/1UMBM8ewaEhQEREcDYsUBGBmBi0rTHoKKZyJX8\nF/mYe2wu9nntozdRQmRIYEIgJggmwMrQiusoRE74nfSDZ1dP9Grbi+sohENlZUBUFLB8OTB4MHDp\nEtC5s3SORUUzkSt+J/3g0dUDzm2duY5CCHkt7XEaYtNj8fesv7mOQuTEmTtncCTrCNJnpnMdhXCk\nshLYvRsICABsbICjRwEHB+kek4pmIjdO3zmNI1lHaGJ7QmTMghMLsKTfEpo/lzSJsooy+Pzug7Uj\n1kJPXY/rOKSZMQYcOQL4+wOamsCWLUD//s1zbCqaiVwoqyiDz6FXb6KtNFpxHYcQ8trR7KO4WXAT\n0x2ncx2FyIlVZ1fB2tAa7jbuXEchzezCBcDP79Vgv+XLgc8+A5pzgiwqmolcWJm0EjZGNvQmSogM\nqaiswILjC7B6yGoaY0CaROa/mYi4GIGrPldpOlEFkpEBLF78qr9yUBAwcSKgwkEFSxNlkhbvRt4N\nRFyMQMSICHoTJUSGbLq6CSbaJnC1duU6CpEDjDFM+30alny8BO1ateM6DmkG9+4BU6YA/foBvXsD\nmZnA5MncFMwAXWkmLVwlq4Tv775Y2n8pvYkSIkOKyooQlBiEw/85TH/MkiYRLYxGUVkRZvWcxXUU\nImX5+cDKlcCmTYCPz6tiWV8GhkTQlWbSom25tgUvyl9gptNMrqMQQt6y/MxyjLAcge7m3bmOQuTA\nk5In8Dvph42uG6GspMx1HCIlz5+/Kpa7dAEKC4GUFGDFCtkomAG60kxasEfFj+Af748T40/Qmygh\nMuRWwS38fPVnXJ9+nesoRA4wxjD32FyMsx+HD80/5DoOkYKKCmDzZuC77151w0hKelU4yxoqmkmL\nNffYXHg7eENgJuA6CiHkLf7x/vi619ew0LXgOgqRAyGnQ5DyKAXnPj3HdRTSxBgDYmNfDfJr2xbY\ntw9wcuI6Vc2oewZpkY5mH8WFexcQ2D+Q6yiEkLecv3seZ++exfze87mO0qK9fPkSkydPRseOHaGn\np4fu3bvj6NGj4vXx8fGwsbGBtrY2Bg4ciNzcXA7TSs/av9ZiW8o2HB9/HDpqOlzHIU3ozz+BXr1e\nTR0XEQGcPCnbBTNARTNpgUpelmDGHzPw0yc/QVtNm+s4hJDX3nyNvnzgcmqbjVRRUYH27dvj9OnT\nKCoqQkhICMaMGYPc3Fzk5eXBw8MDoaGhKCgogKOjI7y8vLiO3OSik6Pxw7kfcHL8SZjpmHEdhzSR\na9eAYcNeDfCbNw+4fBkYOrR551tuKB5jjHF2cB4PHB6etFDfnvgW94ruYZfnLq6jNDlZbhOynI3I\nhpjUGPxw7gdcnHoRSjz5vybT3G1CIBAgMDAQeXl52LZtG5KSkgAAz/+vvfsOi+ra2gD+IhY6oiho\nEopBg4I1xBoUe4tRBFsiBsWuSbzfNYm5UcF2vbZU1NhLFNQIalREhQiioIgRlWJAFERBiiBlaMPM\n/v7YAcRKmZlzZli/55knMCrnzWEWs9hnn72LimBqaoro6Gh06NBBsHyKdCz+GOYHzMeFzy7A1tRW\n6DhEAe7e5Vteh4Tw/86cCTRtqrrjK6IeaE4zUSvRj6OxN3ov3WBUD4mJiejcuTMmTJiA3377DQC/\n1LtgwQKkpqaiV69e2Lt3LywsLAROStRJsbQYS4KWYL/z/gbRMKtaRkYGEhISYG9vj82bN6Nr16p7\nOfT09GBjY4OYmJhqTTMAeHl5VX7s5OQEJycnFSWuu6B7QZhzag4CpwZSw6wBHj8GVq0CDh8GFi0C\nduwADFQw0yYkJAQhISEK/ZrUNBO1IZPLMPvkbKwdvBZmBmZCx1FbCxYsQM+ePSvXzs3OzoaLiwt2\n7dqFMWPGYOnSpZg0aRIiIiIETkrUyU9Xf8L7bd9Hf8v+QkfROFKpFJ9++inc3d3RoUMHSCQStGrV\nqtrfMTIyQmFh4Qv/9tmmWR1EpEbgE79P4DfRj1bKUHN5ecDGjcCWLXwHvzt3AFNT1R3/+V8SV6xY\nUe+vSU0zURubr22GbhNdzOg+Q+goauvQoUMwMTFBp06dcPfuXQCAv78/7O3t4eLiAoC/yZqamiIh\nIeGFUStCXiajMAMbwzfiyswrQkfROHK5HG5ubtDR0YG3tzcAwMDAAPn5+dX+Xl5eHgwNDYWIqDC3\nMm5h3OFx2O+8H46WjkLHIXWUmQn8+COwfTswejTw11+ApaXQqRSDmmaiFlLzUrEydCUuzbhEu4vV\nUX5+Pjw9PXHhwgVs37698vnY2FiNvtRLlM8zxBOfdfsMNi1shI6iVMq43Ps6jDF4eHggKysLAQEB\n0Nbm69Hb2dlh3759lX9PIpEgKSkJdnZ2KsumaIlPEjHy4Eh4j/TGCJsRQschdZCczEeWfXyAyZOB\nyEigXTuhUykWNc1E9BhjWHhmIT7v+TnNb6uHZcuWYebMmWjbti20tLQqf/nQ5Eu9RPliMmNw7M4x\n3FlwR+goSqeMy72vM2/ePNy5cwdBQUFo1qxZ5fPOzs746quv4O/vj1GjRmHFihXo1q2b2l4ZSs1L\nxbADw7DSaSUm2E0QOg6ppdhYYN064PRpYNYsIC4OMNfQxU7obg0iesfuHEPCkwQs+XCJ0FHUVnR0\nNIKDg7Fo0SIA/BeRiruINfVSL1E+xhj+fe7fWOq4FCa6ItnnVkOkpKRg+/btuHnzJszNzWFoaAhD\nQ0P4+vrC1NQUfn5++O6779CiRQtERUXh0KFDQkeukyxJFob+NhQLP1gIjx4eQschtXDlCjB2LDB4\nMGBrCyQl8S2wNbVhBmikmYhcXkkevjjzBXxcfNCscbM3/wPyUqGhoUhOTq5cEaOwsBAymQxxcXGY\nO3euxl3qJaoReDcQyU+TMddhrtBRNI6lpSXkcvkr/3zw4MGIj49XYSLFyyvJw/ADwzHBbgL+3Zc2\nw1EHjAHnzwNr1wL37wOLFwO+voCentDJVIPWaSaitjBgIUplpdgxZofQUVRCWTVRXFyMgoICAHx0\ncOPGjUhOTsavv/4KxhhsbGywe/dujBo1CsuXL8elS5cQHl59y1qqV/Kscnk5umztgnVD1mHMe2OE\njiMIsdeEmPMVSYsw/MBwdDPvhp9H/Ez3qoicTMa3uP7f/4DiYmDJEj5vuUkToZPVnCLqQSHTMxIT\nE6GjowM3N7fK5xrKFp9EeSJSI+Af74/1Q9YLHUXt6erqonXr1mjdujXMzMxgYGAAXV1dtGzZUqMu\n9RLV2XF9B9oYtsFHHT4SOgpRM2WyMrgccYF1c2v8NOInaphFrKwM2L0b6NSJ3+S3bBlw+zbg5qZe\nDbOiKGSkediwYSgpKYGVlRX279+P7Oxs2NjYVFv3NSws7IV1X8X8WzARllQmRY/tPfCd43eYbD9Z\n6DgqI+aaEHM2olrpBenotq0bzk49i27m3YSOIxix14QY88nkMkzxmwKpXIrfJ/yOxo1olqgYFRby\nTUi+/x7o2BH49lvAyUk9trp+FVHsCEjrvhJl2BSxCW8bvY1JdpOEjkIIeUaZrAwTfp+ABR8saNAN\nM6k9xhjmnJqDnOIcnPrkFDXMIpSTA/zyC7B5M9C/P5+S4eAgdCrxqNcrltZ9JcqQlJOEjeEbcW3W\nNY2/bKfqdV8Jqa/F5xbDRNcES/svFToKUSOMMSw+vxgxmTEImhYEncY6Qkciz3j0iI8q79kDODsD\nFy/yFTFIdfVqmmndV6JojDHMPT0XSz5cAmsTa6HjKJ2q130lpD4O3DqAgMQARM2OQiMtWrGU1Nya\nsDU4n3QeIe4hMGhqIHQc8o/ERGD9esDPj291ffMm8M47QqcSrzo3zRXrvt64cQMArftKFOPg7YPI\nLsrGot6LhI5CCHnGzcc38a+z/0LwtGA012kudByiRn65+gv23dyHsOlhaKHbQug4BMCNG3zZuAsX\ngPnzgYQEwNRU6FTiV+emmdZ9JYqWXZSNxecW4+SUkzTXjRARyS3Oxfgj4/HTiJ/QxayL0HGIGtl/\ncz82hG/AxekXYW6gwbteqAHG+LSLtWv5Chj/93/Arl0AjWfWXJ1Xz6B1X4miTT8xHcbNjPHjiB+F\njiIYMdeEmLMR5ZEzOcb4joFNCxv8NOInoeOIithrQuh8x+KPYX7AfPw57U90bNVRsBwNnVzOt7he\nuxbIygK+/hqYNg1o1sD2CxN09QxdXV3o6upWfv7suq8A4Ofnh4ULF2Lq1Kno3bs3rftKXut0wmkE\n3wtG7PxYoaMQQp6xKnQVCkoLsHHoRqGjEDUSdC8Ic07NQeDUQGqYBVJeDhw6BKxbBzRuzJeNc3EB\ntLWFTqa+aEdAIri/0v/C8APDcWLyCfR9p6/QcQQl5poQczaiHAGJAZh9cjaiZkfRpfWXEHtNCJUv\nIjUCHx/6GP4T/eFo6ajy4zd0xcV8FYwNGwALC94sDx+u3mssK4Io1mkmpD6SnyZjjO8YbPtoW4Nv\nmAkRk6ScJEw/MR3HJh2jhpnU2K2MWxh3eBz2j9tPDbOK5eUBW7cCP/3E11Y+eBDoS2+rCkVNMxFM\nbnEuRh0chW/6fYPxHccLHYcQ8o8iaRFcjrhgWf9l9MssqbHEJ4kYeXAkfhn5C0a2Hyl0nAYjNpY3\nyz4+wMiRwLlzQOfOQqfSTDQ9gwiitLwUww4Mg0NbB2watknoOKIh5poQczaiOIwxTDs+DQCwf9x+\njd9gqD7EXhOqzJealwrHPY5Y2n8pZvaYqZJjNmSlpYC/P2+W794FZs7kj38WNCMvQdMziFqSMzk+\nO/4ZzPTNsGHoBqHjEEKesfnaZtzOuI1wj3BqmEmNZEmyMPS3oVjYcyE1zEp2/z6wbRufs9y5M/DF\nF8DYsUCTJkInaxioaSYq903QN3hU8Ajn3c7TrmKEiMilB5ewMnQlIjwioNdET+g4RA3kleRh+IHh\ncO3kisV9FwsdRyPJZEBAAB9Vjozky8VdvAi8957QyRoeapqJSnlHeuPk3ycR7hEOncY6QschhPwj\nvSAdk45Owt5xe/Fui3eFjkPUQJG0CGN8x6DvO32xauAqoeNonMePgZ07ge3bgbZtgblz+XbXz6z2\nS1SMmmaiMsfvHMd/w/6LyzMu01aqhIiIVCbFxKMTMbvHbIxqP0roOEQNlMnK4HrEFZbNLfHzyJ9p\nKo+CMAaEhPBR5fPngQkTgBMngO7dhU5GALoRkKjIlYdX8LHvxwj4NAAObR2EjiNaYq4JMWcj9fNl\n4JdIyknCH1P+oClTtSD2mlBWPplchk/8P0FpeSmOTjyKxo1o/K2+cnOBffuAX3/lG5HMmwdMnQoY\nGwudTHPQjYBELSQ+SYTzYWfsHbeXGmZCRMbntg9OJ5zGtVnXqGEmb8QYw9zTc5FdlI3Tn5ymhrke\nGAOuXeONsr8/MGoUsGMH8OGHtBGJWNGrnShVpiQTIw+OxEqnlXTZlxCRuZVxC18GfongacEw0TUR\nOg4ROcYYvjr/FW5n3MZ5t/N0X0odSSSAry+fgpGbC8yZAyQkAK1bC52MvAk1zURpKm4SmWw/GbPe\nnyV0HELIM56WPMX4w+Px4/Af0cWsi9BxiBr4b9h/cTbpLELdQ2HYzFDoOGonLo6PKh88yEeTV6/m\n21s3ogs8aoOaZqIUMrkMn/h9gvdavkd3VRMiMnImh9sxN4xqPwqfdvlU6DhEDXhHemNP9B6ETQ+j\nG7lroaysahOShAS+AcmNG7QJibqippkoHGMMXwR+gcKyQhyZcITuqiZEZFZfXI3c4lz4TfQTOgpR\nA/tv7se6y+sQNj0MbQzbCB1HLSQn86Xidu8G7OyAzz+nTUg0ATXNROE2hG9AWEoYwqaHoal2U6Hj\nEEKecSbxDLZd34aoWVFUn3XAGBAaCvzyi9BJVOP4neP4Jugb/DntT1g1txI6jqjJZMCZM3xU+epV\nwM2Nv1ZoExLNQU0zUSjf277wjvRGuEc4jHVorRxCxORe7j24n3CH30Q/GjGspaIiwMcH+PlnQCrl\nI4f+/kKnUq7ge8GYfXI2znx6Bh1bdRQ6jmg9fgzs2sVHls3N+XJxv/8O6NGmmhqH1mkmChOaHIoJ\nv09A8LRgdDbrLHQctSTmmhBzNvJmRdIi9N3VFzO6z8AXvb4QOo7aSEkBtmzhl9n79OHN8pAhfEkw\nsddEffJVrK1/dOJR9Lfsr+Bk6q/iisPWrcC5c4CrK2+We/QQOhl5FUXUK92zSRQiLisOE49OhK+L\nLzXMhIgMYwxzT82FXWs7fN7zc6HjiF7Frmzjx/MmqLwcuHIF+OMPYOhQ1ayh6+3tDQcHB+jo6GD6\n9OnV/iw4OBi2trbQ19fHoEGD8ODBA4UeOzw1HGMPjcXecXupYX5OTAzw3XeAjQ2wYAHg6MjnL+/Y\nQQ1zQ0BNM6m3tII0jDo4ChuHbsTgdoOFjqO20tKETkA01ZZrWxD9OBrbP9pON+a+RlERb366dgXm\nz+cNckoKsGkT8O67qs3y1ltvYdmyZZgxY0a157Ozs+Hi4oI1a9YgNzcXDg4OmDRpkkKOWVhWiEWB\ni+ByxAW7Pt5Fa+v/IykJWLMGsLfnG5BIpcDRo7yBXriQdu1rSKhpJvVSUFqA0T6jMavHLLh1dRM6\njtopKwP8/IDRo/kd1so7Thk8PDxgZWUFIyMjdO/eHYGBgZV/ruyRKyKc8NRwrAhdAf9J/tBvqi90\nHFFKTga+/hqwtAROnQK+/x6IjeWX2w0MhMnk7OyMsWPHomXLltWe9/f3h729PVxcXNC0aVN4eXnh\n5s2bSEhIqNfxziWdQ+etnZFbkouYeTH4qMNH9fp66u7RI+CHH4CePYG+fYH0dGDbNv5aWb8e6N6d\ndu1riKhpJnUmlUnh+rsrer7VE/9x/I/QcdTKrVvAv/4FvP02vwt/0iTg4UPlHa+8vBwWFha4ePEi\n8vPzsXr1akycOBEPHjxAdnY2xo8fr5SRKyKsyEeRcDnigt1jd8OmhY3QcUSFMeDCBcDZGXBw4Csf\nXL0KnDhRNWdZDJ6fgxkbG4uuXbtWfq6npwcbGxvExMTU6evnFOdg+onpmH1yNraO3op94/ahpV7L\nN/9DDZSdzRtjJyegc2fg9m0+wvzoEeDtDfTrRxuRNHS0egapE8YY5pyagyaNmmDzqM10ybcGcnP5\n1qm7d/O7rd3dgfBwPjdO2fT09ODp6Vn5+ejRo2FtbY2oqChkZ2ejc+fOcHFxAQB4eXnB1NQUCQkJ\n6NChg/LDEaXwi/PD3NNzsXPMzgY/avisoiLgwAH+y6pczm/s++034UaU3+T5n60SiQStWrWq9pyR\nkREKCwtf+u+9vLwqP3ZycoKTkxMA/jPcL94PX5z5Aq6dXHF73u0Guctffj7/RcnXF7h8GRg5Eli0\niP+3WTOh05H6CAkJQUhIiEK/JjXNpE5Whq7ErYxbCHEPQeNG9DJ6Fbkc+PNP3igHBPAtU9es4SNZ\n2trC5crIyEBCQgLs7e2xefPmV45cPd80v+oNmIgHYwwbwjfg56s/4+zUs+jRhu5OAvhl9c2bgT17\n+Ijhjz8CgwbVbkRZGW/Cb/L8SLOBgQHy8/OrPZeXlwdDw5c3vM/WbIW0gjQsCFiAO9l3cHTiUfR9\np6/C8qqD4mLg9Gng0CHg/HlgwAC+pvKRI+L95YnU3vPvUStWrKj316xzt1NWVoZ58+YhODgYOTk5\nePfdd7F27VqMGDECAJ8juWDBAqSmpqJXr17Yu3cvLGjfSI2w58Ye7Lu5D+Ee4TBoSj9hXiY5Gdi7\nl79Bt2gBzJjBR7ZaiuCqp1Qqxaeffgp3d3d06NChViNXL3sDJuIhlUkx7/Q8RKVF4crMK3jb6G2h\nIwmqpISveLFnD3DtGr+6ExkJtGtXt6+njDfhN3l+pNnOzg779u2r/FwikSApKQl2NbgpgjGG3Td2\n49vgbzHHYQ58XXyh01hH4ZnFSCrlDfKhQ8DJk8D77wNTpvC1lVvQruCkhurcND87R9LCwgKnT5/G\nxIkTERMTAz09PYwfPx67d+/GmDFjsHTpUkyaNAkRERGKzE5UjDGGnX/txNILSxHqHgpzA3OhI4lK\ncTHf7GD3buDmTeCTT4Djx/kNI2Ihl8vh5uYGHR0deHt7A6j9yBURp9ziXLj+7gq9Jnq4NONSg/2F\nljHg+nXeKB8+zOtv+nR+w606bTYhk8kglUpRXl4OmUyG0tJSNG7cGM7Ozvjqq6/g7++PUaNGYcWK\nFejWrdsbp1Il5SRh9qnZyCvJQ9C0IHQx66Ki/xPhyGRAWBifeuHvD7Rvzxvl9ev5JiSE1BpToC5d\nujA/Pz+2bds21q9fv8rnJRIJ09XVZX///Xe1v6/gwxMlKiwtZG7+bsxusx2Lz4oXOo5oyOWMRUYy\nNncuYyYmjA0fztjhw4wVF9ft6ymzJuRyOXN3d2eDBg1iJSUllc9v3769Wr0WFhZSvaqZpJwkZutt\ny7488yUrl5ULHUcQjx8ztnEjY/b2jLVrx9jKlYylpCj3mMqsCU9PT6alpVXtsWLFCsYYY0FBQczW\n1pbp6uqygQMHspRX/I8CYOWycrYpfBNrua4l23B5A5PKpErLLAZyOWNXrzK2aBFjbdsy1rUrY//7\nH2P37wudjAhNEfWqsB0BMzIyYGVlhZs3b2Lz5s0oLy/H5s2bK/+8S5cu8PLywvjx4yuf09LSqnZz\nEs2RFKc72XfgesQV77d9H1tGbaFlqwBkZPAtdXfv5jcWzZgBTJsGvPNO7b7O83MkV6xYobQdxubO\nnYubN28iKCgI+vpV38Ps7GzY2Nhg9+7dGDVqFJYvX45Lly4hPDy82r8X++5nDVV4ajhcjrhgqeNS\nLOi5QOg4KlVWxuem7tnDRxTHjeOjyo6Oqln9Quw1oaWlhZ47ekKviR52jNmh0SuoxMTwEeVDh/j9\nIlOmAJMnAx1p92/yD4XUa73bbsZYWVkZGzx4MJs7dy5jjDEPDw+2ZMmSan+nX79+bN++fdWeU9Dh\niRL53PJhputN2Y7rO5hcLhc6jqCyshjbto2xQYMYMzZmzM2NsZAQxmQyxR1DWTWRnJzMtLS0mK6u\nLjMwMKh8+Pj4MMZqNnJF9So+FfUZkBAgdBSVio7mI4mtWjHWvz9je/YwVlCg+hxirwkAbHvUdo39\n2X33LmOrV/OrC2+/zdjixYxFRfHRZkKep4h6rfeyBzRHUjOVlpfiX2f/hfP3zuO823l0M+8mdCRB\n5OQAx47xuZFXr/JliBYs4P/V1RU6Xc1ZWlpCLpe/8s8HDx6M+Ph4FSYi9cEYw+qLq7Hzxk4ETwtu\nEPNTnzzhV3f27OEff/YZEBGh+p361M2s92cJHUGhHj3iq1z4+vIbridMALZu5RuQ0BrKRNnq1TQz\nxuDh4YGsrCwEBARA+581tOpzdy8R3v3c+5h4dCIsjC0QNSsKxjoNa4/Q3Fy+bueRI3zdzmHDgFmz\nePOsTzNTiMBKy0sx6+QsxGfH44rHFbQxbCN0JKUpLwfOnuWNclAQ8NFH/CauQYOoQWpIHjzg03AO\nH+Y3WY8bB6xaBQweDDSmFU+JCtVrTjPNkdQ8J/8+iZknZ+LbD7/Fl72+bDCbluTl8aWpjhwBLl7k\nP4wnTuRv0qpct1PMNSHmbA3Fk6IncD7sjFb6rfCb82/Qa6JGy0HUQnw8b5QPHACsrPhScZMmAcYi\n+/1d7DUh9nyvUlrK56ifOQMEBvJ7SIYPB1xd+VU+nYaxSh5RMEXUQ52b5pSUFFhbW0NHR6dyhBkA\ntm/fjilTpiA4OBgLFy5ESkoKevfu/dJ1mtW1oDVRubwc3/35HXxv++Kw62H0eaeP0JGUrqCAr9d5\n5AjfTtfJiTfKY8YARkbCZBJzTYg5W0OQ8CQBo31GY3zH8Vg7eC0aaWnWUOuDB3xZuEOHgNRUfmOt\nuztgayt0slcTe02IPd+z7t2rapJDQwE7O2DECN4kv/++sJtBEc0gaNOsCOpU0JosrSANk49Ohl4T\nPRwYfwCmeqZCR1IaiQQ4dYo3ykFB/C77iROBjz8GmjcXOp24a0LM2TRdaHIoJh2dhFUDV2nUHNV7\n93ijfPQokJTEL7u7uvIdM9XhsrvYa0LM+YqLeXNc0Sg/fVrVJA8dKo6NoIhmoaaZ1FvwvWC4HXPD\n/A/m4z+O/9G40SuALwkXEMAb5bNn+Q0jEyfyN2gTE6HTVSfmmhBzNk22/+Z+LD63GD4uPhjSbojQ\nceotIYE3yUeP8pu6nJ15ozxgANCkidDpakfsNSGmfIwBiYlVTfKlS0C3brxJHjGCf0zz1IkyUdNM\n6kzO5FhzcQ22Rm3FgfEHMMh6kNCRFOrxY/7D+fRpPqL8wQd8TqSzs7hHMMRcE2LOponkTA7PEE8c\nvHUQpz85jY6t1HPBWcaAuDjeJPv5AdnZgIsLb5Q//FC9L7uLvSaEzieR8KlvFY1ySUlVkzxkiDiu\n7pGGQxH1oAYXwIiiZRdlY6r/VBRJixA1OwptDdsKHane5HIgKoo3yadP80u9Q4fy+clbtwKtWgmd\nkJCaKykvgftxdzzIe4ArM6+gtX5roSPVCmPArVtVI8oSCW+Ut24F+vShEUVNxRi/ibOiSb5y/ke3\ndgAAFBVJREFUBXBw4I3y8eOAvb1qNp0hRFlopLmBiUiNwKSjk/BJ50+wetBqNG6kvr83PX0KnD/P\nm+QzZ/gI8ujR/NGvn/pd6gXEXRNizqZJMiWZGHdoHCybW2LP2D3QaaweSwUwBly/XtUoy+V8NNnV\nlV/p0cRmSew1oYp8+fnAn39WNcpA1Wjy4MEAbc9AxIKmZ5AaY4zhxys/Yu2ltdj18S6MeW+M0JFq\nrWIUo2I0+fp1fiPf6NHAqFGAtbXQCetPzDUh5myaIi4rDh/5fISpXabCy8lL9PcYyOV805+Km/ma\nNuWbTbi4AN27a2aj/Cyx14Qy8jEG3L5d1SRHRfGrBxU38dnaav73nagnappJjeSV5GHGHzOQ8jQF\nv0/4HdYm6tNdFhfzOXEBAbxRlsmqRpMHDQL0NGyZWjHXhJizaYLAu4GYdmwaNg7biGldpwkd55WK\nivha5gEBgL8/Xzu5YkS5oV1+F3tNKCpfxVW9wED+0NHhDfLIkXypTtr0iagDmtNM3ij6cTRcj7hi\nuM1w+Iz3QbPGzYSO9EYVuz+dPs3fnLt25U3yH380vDdlovmi0qKw7MIyxGfF4/cJv2OA1QChI1XD\nGBATw1eeOXuWz1Pt3p1vNnHuHNCpk9AJiaLJ5UB0NB9NPnOG78Ln6Mib5CVLgPbthU5IiDBopFlD\nMcaw86+d+M+f/8HPI37GlM5ThI70ShIJEBFRNT85I4Nf6hs9mr8xi21ZOGUSc02IOZs6ismMwfIL\nyxH5KBLfOX4Hjx4eaKrdVOhYAIAnT3g9nj3LG+NmzXgtDh/Or/AItfmP2Ii9JmqaLyeHT7O5coX/\nLI6MBMzNq6Zc9O8P6OqqIDAhSkTTM8gLpDIpDsUcwvrw9Wiq3RQHnA+IbqmqwkLg8mW+sH1oKB/R\n6NYNGDiQN8o9e6r3MlT1IeaaEHM2dZL4JBFeoV4IuheEb/p9g3kO86DbRNiOpLycN0wVo8l//83X\nTR4+HBg2DLCxoSs8LyP2mnhZPpmMXzm4cqWqSU5L46tc9OkD9O7NH7TiENE01DSTSoVlhdj51058\nH/E92rdsj6/7fo1h7w6Dlgje6fLzq5rkkBD+A7tHD/6mPGAA/0FNc+I4MdeEmLOpg5SnKVh1cRVO\n/H0Ci3otwhe9voBhM+GWFkhOrmqSL1zgN9JWjCb37ctv6iOvJ/aa0NLSQmYmq9YgR0UBbdtWNch9\n+vAtqxvqQAVpOKhpJsiUZOKXyF/wa9SvGGg1EF/3+xoObR0EzfT0Kd/tqWIkOS6Oj2I4OfEmuXdv\nutT3KmKuCTFnE7P0gnT899J/4XPbB/Mc5uHfff4NE13VzzkqLOT1WNEoP33KR5GHD+drmpuZqTyS\n2hN7TWhpacHYmKFnz6omuVcvoEULoZMRonp0I2ADdjfnLjZFbMLhmMOYbD8ZER4RsGlhI0iW3Fwg\nLIyPIoeG8m1ye/bkDfLGjfxjHfVYapYQhckuysb6y+ux68YuuHdzR/yCeJVuUlJczJdlvHSJz0+O\njOS/vA4fDhw6xG+wpU1GNF9ODn2fCVEUaprVTFRaFNZfXo8LyRcw12Eu7iy8o/Ldwp484ataVEy3\nSErioxgDBgA//cQ3Mmgm/kU6CFGKvJI8fH/le3hHemOi3UTcmnsLbxm9pfTjpqUB4eFVj9u3+WX3\nvn2BRYv4PQMGBkqPQUSGGmZCFIemZ6gBxhjOJZ3DusvrkJSbhP/r/X/w6OEBg6bKfwcsKABu3ODz\n4Coejx/zN+KK6Rbvv0/zHxVFzDUh5mxiICmT4JfIX7ApYhNGtx8NzwGeSlsTvbycb1P9bJNcWMjr\nsuLh4KB565iLjdhrQuz5CFElmtOs4crl5Tgccxjrw9eDMYav+32NSXaT0ERbOftDSyS8Qb5+vapB\nfvAA6NKFvwE7OPAG2dYWaEzXKJRCzDUh5mxCKikvwbaobfjf5f9hgOUAeDl5wdbUVqHHyMnhN3JV\nNMjXrgGWltWb5PbtaYULVRN7TYg9HyGqRE2zhpKUSbDrxi58H/E9rE2s8XXfrzHCZoRCV8IoKuIL\n1kdFVTXJ9+7xzUOebZA7dQKaKKdHJy8h5poQczYhSGVS7Ineg1UXV6G7eXesGrgKXc271vvrMsaX\nfHt2FPnhQ35vQEWD3KtXw1q/XKzEXhNiz0eIKlHTrGGyJFnwvuaNrde2or9lf3zV9yv0ertXvb9u\nSQm/lFsxenz9OpCYCHTsWNUgOzjw+Y80zUJYYq4JMWdTJZlcBp/bPvAK9cK7Ju9i1cBVda5TuZwv\n/Xb7Nq/Rq1f5smDGxtVHke3t6eqOGIm9JsSejxBVoqZZQyTlJOGHKz/A57YPJthNwOI+i9G+Ze33\nKZXL+XSKO3f4IzaWN8h37gDvvcdHjisa5M6d6WY9MRJzTYg5m7KlF6Qj+H4wgu4F4fy987Bubo01\ng9bUasvr7GzeHD/7iI0Fmjfn9di5Mx9B7tMHaNNGif8zRGHEXhNiz0eIKlHTrIYYY0jKTUJYShgu\npV5CWEoYcopzMMdhDj7v+TnMDczf+DWKi/lI8Z07QHx8VZOckMAv2XbsyOcdd+zIG+UuXWhdZHUh\n5poQczZFKygtQGhKKILuBSHoXhDSCtIw0HoghlgPweB2g9G+RftXTpcqKeFrkz/fIEskVc1xxcPe\nnqZZqDOx14TY8xGiStQ0qwGZXIZbGbcQ9iAMlx5cQtiDMGhracPR0hGOFvxh19oOjbReXBcoO7uq\nIX62OX70CGjXrqo5rmiQ33sPMBRugzGiAGKuCTFnqy+pTIqrj65WNsnRj6PR6+1eGGI9BEPaDUGP\nNj2g3aj6lmlyOXD/ftXUiormOCWFbzv9fINsYUE36mkasdeE2PMRokrUNItQSXkJIh9FVo4kR6RG\noI1hm8oG2dHSEZbGlpWjVKWl/Cafv/+u3hjHx/NlpZ5tjCuaY2trujlPU4m5JsScrbYYY4jNiq1s\nksMehMGmhQ2GtBuCIdZD0M+iH/Sa6EEm47+k3r/P5x4nJ/OP4+P51IoWLV5sjm1t6d6AhkLsNSH2\nfISokqib5pycHHh4eOD8+fMwNTXF2rVrMWXKlOoHF3FBh4SEwMnJ6Y1/72nJU1x+cLlyJDn6cTQ6\nteoER0tH9GnriHZN+qEoqxUePgRSU6s/Hj7kS0m1bctHiZ9tjG1t+ba2rxqZqmk+IVC2uhOyJt5U\ns2KuV+DN39uH+Q8RfC8YQfd5o6zbWBdDrIeih8kQvFU2EE/TTKs1xsnJvGE2NeW/qFpZVT1sbfnU\niubNFZNNSGLOBog7n5jrVeh8gDi+d5SBMlQQ9TbaCxYsgI6ODjIzM3Hjxg2MHj0aXbt2RadOnZR1\nSIV61Tf3Uf4jhD0Iw8XkMITcv4SUvHto16wn2pY7wixnBYak9EJ6igEOPQR+yQJatwbeeafqYW0N\n9O9f9bmZGaCt/eLx65pPDCibetKkmpXKpMiQZODao+s4GRuEP+8H4UlJFqzYIDTPGYJ2d1cg4047\n7EsFTrWs3hD37g1Mnsw/trBQzA2zYn7diTkbIP58QlGHehXD944yUAZFUkrTLJFI4O/vj9jYWOjp\n6aFfv34YO3YsfvvtN6xdu1YZh6wXqawcyZnZuJueiZTsTDzIyUDA9Su4uulbZBdnILcsE/myDBRo\npaGclaJJ+ocoTXSESf5n6KjTHZZvN6lsgt92qGqI27ShZaKIelCHmmUMyMkvQfzDdNx9nI57WelI\nzU1HWkEaMovTcf/PMPxUdgxFjdJRpp0L7ZJWkGfYQf/xUFjJD6JXi26wtmoE646A1ciqpphukiXq\nRh3qlRBNpJSWLiEhAY0bN4aNjU3lc127dkVISIhCvr5cDpSV8YdUWvVxxeelpUBGrgQpWZlIzc1A\nWl4mMgoz8aTknwZYngEJMlHaOBPSZhlgzXKhVdIC2iWtoVNuBj3WGtKMp2j80BCmOjaw1W+NNkat\nYdHCHF0sLGBhoYW2bWneItEcyqpZmYzXY0V9Vnz87H9LSxmy8gtxLzMdKTnpSMtPR0ZROp6UpuOp\nLB0SrTSUNElHuW460LgI2sXmaCZtAz15Gxg3aoMWTdvgLd1+aKRTBud3F8PatA3ebdMKrU21YW5O\nW0kTzaPs91hCyCswJbh48SIzNzev9tz27duZk5NTtecA0IMe9HjuIYSa1KzQ54Ue9BDjQwj0HksP\netTtUV9KGWk2MDBAfn5+tefy8vJg+Nx6aEzENxUR0pDUpGapXgkRB3qPJUQYLy4OrAAdOnRAeXk5\n7t69W/nczZs3YW9vr4zDEULqiWqWEPVB9UqIMJS25NyUKVOgpaWFnTt34q+//sJHH32EiIgIdOzY\nURmHI4TUE9UsIeqD6pUQ1VPKSDMAbNmyBcXFxWjdujWmTp2KX3/9lYqZEBGjmiVEfVC9EqJ6Smua\nTUxMcOzYMRQWFiI5ORmTJ0+u/LOcnBw4OzvDwMAAVlZW8PX1VVaMWvP29oaDgwN0dHQwffp0oeNU\nU1ZWBg8PD1hZWcHIyAjdu3dHYGCg0LGqmTp1Ktq0aQMjIyO0a9cOa9asETrSCxITE6GjowM3Nzeh\no1Tj5OQEXV1dGBoawtDQUOVvgFSziif2mqV6rTuh61VfXx8tWrSAqakpcnJysG7dute+tn744Qe0\nadMGxsbG8PDwQFlZWb0z1Ob1vXfvXmhra1eeL0NDQ1y8eLHeGYDavY6VcR5qk0GZ56FCTWpGWeeh\nJsdX5jmoTV3W6RzU+1bCOpg8eTKbPHkyk0gk7NKlS8zY2JjFxsYKEeUF/v7+7Pjx42zevHnM3d1d\n6DjVSCQS5uXlxVJSUhhjjJ06dYoZGhqy5ORkgZNViYmJYcXFxYwxxu7cucPMzMzYmTNnBE5V3dCh\nQ5mjoyNzc3MTOko1Tk5ObNeuXULHeCmq2boRe81Svdad0PVam9dWYGAgMzMzY3FxcSw3N5c5OTmx\nJUuWqDTDnj17mKOjY72P+TI1fR0r6zzUJoMyz0OFN9WMMs9DTY6vzHNQ07qs6zlQ2kjzq1Qsyr5q\n1aoXFmUXA2dnZ4wdOxYtW7YUOsoL9PT04OnpCQsLCwDA6NGjYW1tjb/++kvgZFXs7Oygo6NT+Xnj\nxo3RunVrARNVd+jQIZiYmGDw4MGivLNcjJmoZutO7DVL9Vo/QmaqzWtr3759mDlzJjp27IjmzZtj\n+fLl2Lt3r0ozAMo7XzV9HSvrPNQmA6Dc101NakaZ56GmNavMc1CTr13Xc6DypvlVi7LHxsaqOspr\nifEH9PMyMjKQkJAAOzs7oaNUM3/+fOjr68POzg5Lly5Fjx49hI4EAMjPz4enpyd++OEH0X5/v/32\nW7Rq1QoffvghQkNDhY4DgGpWkcRYs1SvdSemen3daysuLg5du3at/LxLly7IyMhAbm6uyjJoaWnh\nxo0baNWqFd577z2sXr0aMplMYceuyetY2eehJhmUeR5qWjPKOg81Pb6yXws1qcu6ngOVN82FhYUw\nMjKq9pyhoSEKCgpUHeW1tLS0hI7wWlKpFJ9++inc3d3RoUMHoeNUs2XLFhQWFiIoKAhLly5FZGSk\n0JEAAMuWLcPMmTPRtm1bUX5/161bh/v37yMtLQ2zZ8/GmDFjcO/ePaFjUc0qiFhrluq1bsRUr296\nbRUWFsLY2Ljy84p6VmQNvylD//79ERsbi6ysLPj5+cHX1xcbNmxQ2PFr8jpW9nmoSQZlnoea1oyy\nzkNNj6/Mc1DTuqzrOVB501zTRdmFJtaRDQCQy+Vwc3ODjo4OvL29hY7zUlpaWnBycsKECRNEcdNY\ndHQ0goODsWjRIgDi/P727NkT+vr6aNKkCaZNm4Z+/fohICBA6FhUswog9pqleq09sdRrTV5bz9dw\nXl4eACishmuSwdraGpaWlgAAe3t7LF++HEePHlXI8Su86XWs7PNQkwzKOg+1qRllnIfaHF+Zr4Wa\n1mVdz4FSdgR8nWcXZa+43CvGRdnFOLIB8Beih4cHsrKyEBAQAG1tbaEjvZZUKhXFXNPQ0FAkJydX\nzr0rLCyETCZDfHw8oqKiBE4nblSz9aNONUv1ql5q+tqys7NDdHQ0XF1dAfD6NTM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} ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Placement of ticks and custom tick labels\n", "\n", "We can explicitly determine where we want the axis ticks using the `set_xticks` and `set_yticks`, which both takes a list of values for where on the axis the ticks are to be placed. We can also use the functions `set_xticklabels` and `set_yticklabels` to provide a list of custom text labels for each tick location:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = 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": [ { "output_type": "pyout", "prompt_number": 32, "text": [ "[,\n", " ,\n", " ,\n", " ]" ] }, { "output_type": "display_data", "png": 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6/HQN7jKYaVGgkRHeAAD1ZhiG/nXiX0rNcE6LFlYUSpL8fPx0R+wdmj54um7p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\nP1fPnj2VnZ2tKVOmaNy4cZK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} ], "prompt_number": 32 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In matplotlib there is a number of more advanced methods for controlling major and minor tick placement, such as automatic placement according to different policies. See http://matplotlib.org/api/ticker_api.html for details." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axis grid\n", "\n", "Using the `grid` method in the axis object we can turn on and off grid lines. We can also customize the appearence of the gridlines, using the same keywork arguments as we previously used with the `plot` function." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = 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": [ { "output_type": "display_data", "png": 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t4eHhJCYmWq7n5eWRkpJCeLj+57YQorKWJi5l2PfmN/qZD8zUZWOlFVK/hLCv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\nKekpVoXnaPpRjmUcs5pX6npebj40qt2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} ], "prompt_number": 33 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axis spines\n", "\n", "We can also change the properties of the axis spines:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = 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": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 34 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Twin axes\n", "\n", "Sometimes it is useful to have dual x or y axes in a figure, for example when plotting curves with differnt units together. Matplotlib supports this with the `twinx` and `twiny` functions:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax1 = 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": [ { "output_type": "display_data", "png": 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hVAghiik1FejcGYiKYhb65s3cHs8wZs1iIPT3Z3VwLwmE3kwSaIQQbpWczL0I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\nA8rGfZ7rTLfhAAAAAElFTkSuQmCC\n" } ], "prompt_number": 35 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axes where x and y is zero" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = 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": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 36 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Other 2D plot styles\n", "\n", "In addition to the function `plot`, there are a number of other functions for generating different kind of plots. See the matplotlib plot gallery for a complete list of avaiable plot types: http://matplotlib.org/gallery.html. Some of the more useful ones are show below:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "n = array([0,1,2,3,4,5])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 37 }, { "cell_type": "code", "collapsed": false, "input": [ "fig, axes = subplots(1, 4, figsize=(12,3))\n", "\n", "axes[0].scatter(xx, xx + 0.25*randn(len(xx)))\n", "\n", "axes[1].step(n, n**2, lw=2)\n", "\n", "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n", "\n", "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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nJ02b+hEZOYqcnOGoVLvQ63OB20uxKDAY6pOWllboGiNHDmfkyOH3/jAPgDt/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\n+/fvJzg4mCFDhjB69GjeeustFixY4O3mCXFJkruivWrLuWu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} ], "prompt_number": 38 }, { "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": [ { "output_type": "display_data", "png": 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r16/D3t5ewVu8MTBo0CCdmu0ZTPj+85//8I65qCkMwyA+Pp5zvVOnTjW47eRk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\nk8REwMWl5sFp0QI4exY6sx3UtfDFx8f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PDyQlJVFQUBAFBgZSREQEeXl50cyZM6l///7U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\nCRMGwiR8JkwYCJPwmTBhIEzCZ8KEgfh/QpANhbM7+UQAAAAASUVORK5CYII=\n" } ], "prompt_number": 39 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Text annotation\n", "\n", "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 = 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": [ { "output_type": "display_data", "png": 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XpKOTs2EKSO29tBffn/ge4XfDEXU/CtHx0ShjXib7+18Hfo1RbqMMcm0lcdpp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\nICIiAMD/A9pdJIS76CrdAAAAAElFTkSuQmCC\n" } ], "prompt_number": 40 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figures with multiple subplots and insets\n", "\n", "Axes can be added to a matplotlib Figure canvas manually using `make_axes` or using sub-figure layout manager such as `subplots` or `subplot2grid` or `gridspec`:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### subplots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots(2, 3)\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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48SItWbLEY1x/f7/76z/++IMyMzPp1q1btGDBAoqMjPznBnGa4Vml5vojK+EH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\nAABCQEMCAAAh/B/wVEt+0RYw8AAAAABJRU5ErkJggg==\n" } ], "prompt_number": 41 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### subplot2grid" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure()\n", "ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n", "ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n", "ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n", "ax4 = plt.subplot2grid((3,3), (2,0))\n", "ax5 = plt.subplot2grid((3,3), (2,1))\n", "fig.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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G7nHO5NWYe/fuTcrDvp1Zq/LychETEyOCg4NFamqq1Z2xkjm6Vnq9XmzcuNG0v0pMTBRV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\nAElFTkSuQmCC\n" } ], "prompt_number": 42 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### gridspec" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.gridspec as gridspec" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 43 }, { "cell_type": "code", "collapsed": false, "input": [ "fig = 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": [ { "output_type": "display_data", "png": 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} ], "prompt_number": 44 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### add_axes\n", "\n", "Manually adding axes with `add_axes` is useful for adding insets to figures:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = 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": [ { "output_type": "display_data", "png": 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aqYEpM5TYGLwRiy8uho2pDY75HkMThybSn4gxiURHi7+z338Xc0wWxtf+X8PX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\nQqHAtWvXULlyZdSvXx+zZs1CTk5OSUJgjDFWRpS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} ], "prompt_number": 45 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Colormap and contour figures\n", "\n", "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 is a number of predefined colormaps, and it is relatively straightforward to define custom colormaps. For a list of pre-defined colormaps, see:\n", "\n", "http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps" ] }, { "cell_type": "code", "collapsed": false, "input": [ "alpha = 0.7\n", "phi_ext = 2 * pi * 0.5\n", "\n", "def flux_qubit_potential(phi_m, phi_p):\n", " return 2 + alpha - 2 * cos(phi_p)*cos(phi_m) - alpha * cos(phi_ext - 2*phi_p)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 46 }, { "cell_type": "code", "collapsed": false, "input": [ "phi_m = linspace(0, 2*pi, 100)\n", "phi_p = linspace(0, 2*pi, 100)\n", "X,Y = meshgrid(phi_p, phi_m)\n", "Z = flux_qubit_potential(X, Y).T" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 47 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### pcolor" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "p = ax.pcolor(X/(2*pi), Y/(2*pi), Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n", "cb = fig.colorbar(p)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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JWiU1tjf643HDbqVVEK+SYgrWiCusCat7J7BfoJWw5WzdQl4lhVaVjMbYcy5f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\nrxGMD1wGAAAAAElFTkSuQmCC\n" } ], "prompt_number": 48 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### imshow" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "im = imshow(Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n", "im.set_interpolation('bilinear')\n", "\n", "cb = fig.colorbar(im)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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04kG17gQYAI1xfDKGNvmWQU33a+7hG8tkb/U2O8jPCxZr+zrbtcymp19n6ffc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\n7rtx8OBBvPDCC3juuedw++23N/5mcvraSjcpB2joF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} ], "prompt_number": 49 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### contour" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = subplots()\n", "\n", "cnt = contour(Z, cmap=cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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1gvH7jwRCU0j+8GtEbv0EnlZnoZSn+hi2JL2BshcCM0WVVEGlMeK8jo4dsorO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JrYD3Os48YgdOK7hMdRvL3QZeSwdYoEAZOVOh47EJFhNeipN1h7ghG0esNx5bwhhGDVB4fAAfj3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\nMgAAAABJRU5ErkJggg==\n" } ], "prompt_number": 50 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3D figures\n", "\n", "To use 3D graphics in matplotlib, we first need to create an axes instance of the class `Axes3D`. 3D axes can be added to a matplotlib figure canvas in exactly the same way as 2D axes, but a conventient way to create a 3D axis instance is to use the `projection='3d'` keyword argument to the `add_axes` or `add_subplot` functions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 51 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Surface plots" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(14,6))\n", "\n", "# `ax` is a 3D-aware axis instance, because of the projection='3d' keyword argument to add_subplot\n", "ax = fig.add_subplot(1, 2, 1, projection='3d')\n", "\n", "p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n", "\n", "# surface_plot with color grading and color bar\n", "ax = fig.add_subplot(1, 2, 2, projection='3d')\n", "p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.coolwarm, linewidth=0, antialiased=False)\n", "cb = fig.colorbar(p, shrink=0.5)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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qlYpjDFBq0eBCEYI+hkUFmAei1zcXC4eapolCodATY2CmwSYG5jViRhTHcU7Ttmq1CkVR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Bpk2bMCF0v3iz9s+Cl0+vB8YcIVA40Q5ZgVIKSik2bSreZsECMwoozm8D4LomBgaKCcqiRQ7y\nXEK6XWDKFOk6VKsZePbZ9KPSOwiuVbQF8rXK2XoE1aoLzvM08HqAcBO1WlZTUq1mMwq5bhVFVgLD\nYBCCAHAgRPnHaJppApBnwk7fM52MsILtNmL2bIE9e/LPW9aumTOzz/mxxxgmTxZhbYJyd6FFi+xC\nwjA0BDz/vIkXX9StQnrKUR0URRr1uXOzJzBNgXPPrY2YJJumGdUlGBwcjMrEe56XGERGaj0ghER+\n+p/85Ok4cuRyfO1rC7BsWQOVMKuIjCHJdkXNpoVFi+pgzMa73jUVF1wwBUuXTsaMGRPRaAwCaOKx\nx0xcfPEcTJs2EcuWTcXFF0/HP/3TiyMOxuz1elFA26RJk1CtZrVw/e7d5Zdfjq1bt+LIkSP4wQ9+\ngHvuueeEqkSOY2xAKaVGO/4IIUBIsq91XZYQygUX8FKkwPWSee4zxa9S2vm8WII88Jz00YxLksB5\nqOFkkhRwLhJxA7IdsTUi/esH2Tao25VXUE0VXZOxE8n1PZfhB48ntfxlqTuVu003LM7phG6/RWlG\nFXSfdx1+Kmg2KCmUkN6f+BSEhVl7QpehdFCxIgaWKZ+7x6pwWdaKlNd36VDkQPXtjuNE5KDX6/WN\nKeOco9fr4Z++Nhf//PV54IyBEQriB6BEkoNAizFQxIEpFyM/vk96gLG+T1lf63leNB7N1OotvFn7\n5/EYgtcQr4YQ+L6PdrsNy7Lw9NPFL9u0aeXHnz/fwnPPAcuXF5uA05lWdGzaxHDxxXUsXVpNBeSm\nNcTKH18hL54geR2Ow+DnVJ00zSxx8LwBNJt6JzcM38935alWs1aCSoWFlgbVpn5BwCOJI0gTnn4C\nLwXQxZQph3LXmqbAzp3FA+XwcD5Z2LdPoNMZyXtW3r5582o4dqwaFrjLPi8JFVOQf75mM9v+RYsM\nDAyc2Geu/O9rtRqazWZUXIlSik6ng3a7XZgNApAVWl3XjTL/qGN+8pNzsWHDBTh69DKsW3ce/uIv\nluBTn5qLuXObMIwqZOrcOjqdKp591sC6dQQPPEDxjeeriAAAIABJREFUzDMc27YFOHSIhURcxlc8\n+ijB8LCDrVs9PPpoDz/+cQeXX74VN910EKtXv4Qf/GAIe/bkZ/rSCUER+vUj8+fPx+mnnw4AWL58\nOT7/+c/j3nvv7Xd7xzGOCEIItNvtXOHGyyne5KZIgS7kK2GCUJFYrlsP+pGCoa6Jds9Au2eg0zPQ\n7gHtrkDPzbeiul5oGQin2PWHx9r+FCkICIfvcxAiEAQcJHRxUpYRypLB0snsSQKdDo3uQ56LRZc2\n0KEDaNMG2iQbUGybHLbJQbmBD35wbiKTTh5UP0CCpLVUar7TlXrj/ka5wyiXIZ0wCCFQd1huLEMe\n3Exx0BODYRiR4kfFvCi5x3XdjEVYCIFerwfHcaLsdPd+cyHu/ebC2I0oCMAIBSMUgScVg2nCoKwK\nlFC43V70X1lnrv+DF/G+j2/DtZ/YgWs/sSPRZp0Q6Hiz9s+qrkLRlEYQBLjpppswb948DA4O4pxz\nzsG///u/Fx7/T//0TzFz5kxMmDABN910E4KgPNslMMbqEOg4UQ2NYsqtVgu+7+OJJ4pvomGUH7/Z\nlJ37+vUUl11Wx5o1bmabI0fKO+YNGwxceqmDrAa82H2o1bLRbutL0gRBBkNnawJQcJ6XqtRAp1OD\naXbBuY/8zD8Svl+FdCVSHZcPQlTRMQUHMvYgvxOk1MDAgINul2jbp9HPRSrPN93Crl0PA/hA5mjL\nlgls3lwkaAts21as9Zk8WVYivvBCCxs25A8oO3eWW0VefFGmGpV+pfq9UvdIII4ryCcXeZo1vf7A\nq4WyHlQqFQghwDmPMhf1ej3Yth1NqsqxilvIg2EYWLGiiRUrpGXkj/5oHvbv9/Anf3IIL74YwPdl\noTeZOQioVIBJkyzUagYmTbJRq1loNEw4jtRYui7FkSMenn/exb59Ph588AheeaUCwMDUqRbuuWcu\nLrwwKRiMJO3oibggvhF9Vsfx2mE0448iA6p4VB48j8JJuda12wS1ejyE61pFktMXAJIUGCWa8HYv\n6fqYF+AoMwcJCCFrHugaTc6lZZxxSQpsxwgtFNn2CCFg2yYCwuGo2gkhGSABB2NyPSXSp9oyjcja\nUXZvO2wgSlBgGAII/7u0CiYMVCwK2+Rg3EQvcGAYAo6l3Tulrdbuk1NJjkFqG8uJ73/gBeBcwKk6\n4TyB7VhglINRDkurT6AIw3vfOxuEcTgWh0ct1MLiZB51ULEYXOrACS0DLq1GLk8nE6ZpRtniOOeR\nIkcIAcdx4DgOfN+PtkvjR3+9JPp/9Uc2wzQNGKFfmmEaMDRXVcE5DNOM7i0lFKZhJu5jtVEH8QMI\nLnDtJ3bgf98tj+953glZcPPwRuifR2sFoJTitNNOw0MPPYTTTjsNP/nJT3Dddddh8+bNEeFR+PnP\nf44777wTv/zlLzFz5kxce+21+MIXvoAvf/nLpecYc4RAvRyjJQSqsrHKVGSaJvbu9XDwYPExXnqp\nXMhrt+OP95FHCJYts7B1a7zPwICBnTsDlGmPKTVw4EADxcactHuQQLtdpGGWqFbzqgBTSHefovMw\n1OtAt9tPk2Gg2ayj0+GQNQ+snMrFRZlzYiQzjClCUXa/09pz/fg25PUR9HqHIa8z2bFMmFDc0S5d\nauCxx4rPPHOmid27gQ0bGC67zMGaNUmz8JIlFnbsKH6PLAs4fFhVfFYZhgA9k5RlETDmaNeZxUsv\nnVpCoCNduEylWySEwAtfLsdxwDnvW2hGx2mn1fCNb8zLLFe5sVVxNL0dpmkm4iNc140C6w4dIjhw\nIMCKFfXcIk9lFgK9iidjDL7vw7btjND2s5/9DOeeey6mT5+O7du3Y/Xq1bjuuutGdL3j+PWGTgYG\nBgbg+z7cMBVltRoPz4IDgcfgVIr733SBMjMsfOX7LCqCFW0bBRxbUVXi4V7y2GlLAOeSHOip9v3Q\nhUcFKFPKI0HHMGIBnlIuhfvwlxCZLKDXk8W6CBXgTEQJBNQx1PFsxwTjApTw6FosS5IR142vT683\noGACgMHBQrdaj1ZQsaSCxzalIJ7nHqWDBARCE/bl/RDgPoHtjEyMIj6BU3VAfAIrrN5WsQVsM76h\nAbPCKsrJsa5HK4ntThVM00StVkOtVov6P5XuUxGGItIKAD/5zorc5aqgpV5JXo0LpmmCcw7XdTEw\nMIDf+W97YdoW7v3mwsQxer1ewkLwZu+fR8tJGo0GvvCFL0TzV199NebPn4+NGzdmCMF3v/tdfOxj\nH8PSpUsBAJ///OfxoQ99qC8hGLMuQ6MBIQRDQ0NwHAfNZjMSLh57rPiJNRqitCqtYQjs3q3n4TVw\n+LCFadPil3XxYieTvSGNhQsd7N6tb5MmABRJLXJMBppNA5alLBwMlsVQq4nQdCyiqdHgMIw8y4Dc\nTwYYu+h2DVSr5VlhAKDXMxFnLyq6virKKhAbRkXb10a2enKe37mdWq+gOlclTGdzEO/dW0w2bLuc\n+B0/Hj/nNWsILrnEgd4nTZtW7iI1c+YAhLCRzRwUp2hlUfaJfEJQqcjCdmmsyO+fTzqUe5Hyn240\nGrmpTfOKg43m+JVKJaqwrM6nBga9+JgiIDNmOLjggoFcMgDIQaaobskdd9yBRqOBO++8E//wD/+A\ner2OL33pS9i/fz9arRYOHjwIAHjwwQexcuVKNJtNXH311fjABz6AW2+9ddTXOI6xg5EopBQZsCwr\nKiJ1+9/H33+eq5Dn0YRm0XNpFDxMCU9mGfJ0F6HQDYdykED+v2il7JeGeyaGcywDOtKpIoHQB5oL\nSVYCDtdjUdsYE6CUR5M6N4DINUgFEVPCo7ZKd6M4JiJ9rTp8nyXcoPLIgA7dot8Jkgohx+L4nf9n\nXsKlJR1kDCAzD0iywLUg1ThPP0sEFQPJION3XzkHAY37ctNARAQ8ZoMJAyw3Lepro922LCsS2k9W\nGlO9qKUiCYSQRJDv978+L0MGgKzL0Ju9f2aMl079cPjwYezcuRPLli3LrHvmmWewcuXKaP6ss87C\n4cOHcezYsdJjjjkLgcJIO2SpkZHMNF259YknivdftMjE008XH3vhQiuTVebllwWWL6/g2DEXhADN\nZn8+NmtWDbt3pwmAPs/QaBjo9ZTwHQvKnQ5CtiznpWk3rkVgmhwf/rCN97/fxlNPBdi1y8OePT4O\nH6bodhlcVwpYsqp4WHLdt1GrBfB9I0fzDwAuOBew7UpUWCYfJop95RFeYwvSysCR/6r2Iye6xcCB\nDKw2ATwHXfu+ZIko1OCbZrm7UKslsGNHsg1r1xKcd56Nbdukr/tLL5V/3EePNhBbTdLkT+2rWw2y\n781ppzE8+2z2Xp4qC0EaKm0p5xytVisuSx+mNFVB+r1eL3QViN2LTqT6pG4VUD6XSlPEOY98YNPW\ngzTKLAS33347br/99tx1bc0n76677npDBKmN442BkQQVc87Rbrdh2zYajUahBc3tJd2CAEkKajXN\nVSVgUaYuSjhsJ37fqZZ6NB1sPNTL1/Tqsn+ny8FDtyHOZfwAF5IEMCZCy52AYRrgTICEgoxhGKCU\nR1p8pcFX2VO4dm8Y43BsC5RwMC4tCEBMYmzbTJABxgQIYdF2apkOwxAF45OEZXJ41AblBmxTwCUW\nWIFyTicBtmMjcAM4VRskIJErEfEpnNCiwxmPLABASBjCe2856jlROLaAbQn41ES9olyFLFRT1gGS\nyjDk0nD8NsqDp18tlLVXuX2qVNK6Jdi27citaDSJKxRBUH21CqYPgqBwTPB9P0EI3uz9czqT0P6d\nD+HAzjX5G6dACMGHP/xhfOQjH8HixYsz6zudTpSFCZAZmgB5X97ylvysfcAYJAQjdRlSbJcxhsHB\nwVwz2Msvc5x1loHNm0VGY1KUy15h2jQDzz6bXb5lC8Wll9bx8MMujh7tzwJlGsn44xgcNDE8LCCF\nWxlb0OspDXS6TRyMxft+4AMGhoYs1OsG3vUuB9dfXw81/sB73lPchjVrhnD99Xtw5Iic97wKDMML\nzy/vt20TUOpDWQUoNSGF+TLteAXZ7EcctVo11I6p4lxq2zTyMi+R1HrVuapfCkDAtteCscsghIGp\nUzl2JOOXIqxYYWDTpuJn/da3WnjssawF4YknKJYssWEYAjt2lFkYzLCGg4oPSK5LL69UgLzYoKlT\ns+/b5MnA7NmnnhCo2BsAkaZTh8puoVLiqdgDQghc14VlWRE5sCxr1D6hSgCzbRu+76NSqcBxHDDG\noglImqgVVNDzOMbxWmGkZEDBcymqVRtM08h6Ho0EYln9Nj6G6xI4oUDq+zRyPdIF86L6OGqca3eT\nYx7nyXlFBriQ/z//n9LHkxt/9m8oDNMApdLFhxIeuTJxJqL/QdgeyzJiN6GIGNBwnRlZTdR2tm1G\n6//p/io+9K5kljsDInKJAmQmH0V4LFOAaiSgYgtc8x8X419/sCv33gCSHNiOHQURB14QtscC8Wkk\n8BOfwLTMjAxCgtjFiDKpsBpNd9ejFZgGRzoM5Jx5J9fZgzEW9Y26bKT35UoJo2IOlAVXWW5HAhU3\n43kearVadG7VZysrBSD7arXNWABLWVhmL7oUsxddGs0/8pMv5e7HOcf111+PWq2Gb37zm7nbNJtN\nDA8PR/NDQ0MAgFarVdqmMUcIFMoIgSrSYVkWBgcHCzI7CPzwhwxBINOLTptmYt26uNPr9cqFeVqi\nHn/4YYrLL6/jkUdclPnSz5ihfM/VNgLDwwKWZYGxOqRwqwvcHNlgY7nvZZcZ+F//q9ykWoS3va2J\np59eiF/9ysVf/MVR7NnjQ4g6XnhhODq+JADJ18m2ndCEXXSNNqQ/v4WBAQPdrrQEyMAytY/S7Ks6\nDPp9V9eqF7hSOfw5kgRJaL8mKN0F4AJMn26CEIZLLzXQ6xnYtk3AdeP25mXu0VHiTokdOyiuuKIG\nIXghKZgwYSKGhpQlI50ZSiB9T08/HdiVM15ZVvZdfy2sA4pYm6aJer0+ooFAD2JTsQGU0iiQTWmj\nRmM9YIyh2+1GxwUQVSxPxx/oBEFZEcYxjpOJovFHkQFV+yP9vQQeBRfIWAVcjyTqdTDGExpyQllE\nAtLIpCGlxX1amggASfchLmTaU0UIvvCfyxVjX/64BUop/uCvw9SeBgAig00tywRnInKPsB0LQaAE\nQTMkBjyXGDAmQAkDtcyIVBRBDyyWbYjjCQDApyYci8MNTNiW1N4r6PEBKlUmJRSmnewz1DIecHDK\nZaxAGHcg25x8Nu+8ch4sM041GlALNUdZCWxUbAZPCygm3ALhVqaa8akA5xzdbhe1Wi3KDpeHNDnQ\nE0yo5f3IgUplqtxAAUQJK9IKnXQMwZsdJ5JaVAiBm266CUeOHMFPf/rTwniOZcuW4amnnsIHP/hB\nAMCmTZswffr0UusAMIYJAZAfSR4EAbrdLur1OqrVauHL+vjjNNLE7tnDsWcPx4oVFrpdOa/HB+Th\nhRfKH3anY2LJkiq2bi3OYjRvnoNDh9QDV524DcZkm02TFdQRAGLXEoH3vEfg+9+vJXyrRwqlxa3X\n63jvewfx3vdOj9Z96lPb8Nd//SKEyM86RKkFmU2orGCZBYCj27WRV2wrJgQIj6NHQ9uIq/nqy2J3\noGRdBN2lygPwFGbMOBfr18fPstEAVq1y0G6b2LZNYPv24ufsOAJbt5a/B0NDBvbtA972tgoeeST7\nrIeHayguPpauNM1x4ED+8zt+PDvIn+r4ATVwqNSkJ5LtQWn21TGUCZlSCs/zovWO4xRaDxQZ0AcV\n/fi6VUAnB0eOHMHu3bv7BsqNYxwnCr3P7UcGdHguRTV0C1LuNV6PoNaIFUC+TxOkwPepFkgc/2eM\nRwK20tSn0e7G6UR5ggDIX5XeU7kP3fYhNqLvXbkJfuUTsmjWf/szN8xCI60FkhgYIEEcf2A7Jtxu\nANs2YYaByMr1yXbM0CISBxerGAoVG5GHTlCDEADlJuqOJvCbAowb8KmJgBqZSss6OdD7CFWd17TM\nRE59hcALImuBOo4iEcQnyNNBeMRCJSdezaMOLJO/JmRAKXhUNrmRQqUxrVQqiexzKsFDXv+dl8pU\nHUslrND761/+8pdYuDAbW/BmRd570w8333wztm/fHlVtLsINN9yAj3zkI/jwhz+MGTNm4I477sCN\nN97Y9/hjTjWmuwzpUD7O3W4XzWazrwDzyCNZDf/mzQzPP8/wnveYOHas+GFOnWrg4MFyzfLAgI3D\nh23MmlUsiLiu0orrfuOa+dPSrQP6NlIr32oJfOUrNr73vWoU3NntdkcUECSEgOd5UXxFugIiAHz1\nq0txxx3zUakQFAcIV5GfHYiEUxVlVpKk5lx1Gk54rXlZkQxtPwEZjKziK9Q6Gq7bjlot+Zx7PWDd\nOoKtW31ccQXD3LnFLVuxwg4zOuVjwgQDW7bIjE6PPMJw0UVVTJigaarMJoTIPleJtLUHWLBAwPPy\n7hXHvn2vrYVACeHKr/RkVQdXqU1VZU0lOOmF0Xzfj4KHKaWFZCAPimAcPXoUN9xwA773ve+Nk4Fx\nnFQoEqpjJGTgf/x5Mi21nxNU3OsmFRBBzjbRObVMPb6WJz8IGFacGVuLdTKQCCzmMoNPrxeTgcBj\n+O+/PVSYr16HjD+TWl01fnz9v9fxp/+1BhJQUMpAAhpdJ2ccJKCJa3K7QWI+8JLre90AvkcRaIRC\nRzuoYTiI3UwsU6AX2OgFdmKZgmMLXHXt0tzr0ckBgKi6sQLx41gBICYNSvBjmpuWYyOKH1CQZMsA\nEwZc0l9Xe7LjB5SAbllW3yJnZVAW4GazGbmQuq4bVb1XfbfrujAMo/Rcqr9++OGH0el08MUvfvGE\n2/VGw2iDivft24e7774bmzZtwowZM9BqtdBqtXDPPfdkAqmvvPJKfPrTn8bb3/52zJs3DwsXLhzR\nvRuzFgLdZKs0mUIITJgwYUQuAmvX5mt+fR/odDguvNDB1q0U3W72o1ywwIz87Ytw5AjHyy8LLFhQ\nwYQJHoaGkseRwqRyt8kTWHiY31+i2TTR6cj/g4PA1Vdb+Mu/rMEJA8z04E7F3ou0r3qAqJ51KQ+3\n3DIf/+E/TMMNN2zG00+roF0dJhzHhIwZ4oiLqMWvnnQtKiIoBiRp6EESAhV3oOCgPB2psgiYSFYT\ntgH08NhjmwHkDwDdLsVTT/k45xwHr7xiYP/+5CBerZZ3yEuXVrBuXbzN+vUUU6ZYuPhiE48+GsAw\nBhBbM/T7li0OBwBTp3Ls3p09z+zZwPPPZ7dfvvzUaJTy3HNOBXTrAYDM+6uWqZiBkeLAgQO44YYb\n8PWvfx2rVq06JW0fxzjUGKSyCY3EMpCG70mBu6IFEfseTQQOu10SWRMCj8KOAlcZTJHtu3WhtZ0z\nfgFAp5PtUwOP4fYbBIBmIl89gEjLq8YK1UfoZEDHn39qADd/ZTiR69+yZH56xqTbjR7/5vcCmLYJ\ny5LLOOOJCsyCi8Sx2kG9MK2jERqKe4FMN6oqFdsW4AUGbBvgjMXuPo4d/Seh24CtXRMJAjihMkKR\nBsu2IhdFXeFAfILffN9SEAqoDKYBNVBzko2thG1yiQ07xx2UC8CnDhpOuYV6pFAKQACjfkfLoDT9\neo2DrpZTPC/mLI2dO3di9erV+OlPf3pKx5vXGqO1EJx++umlitx2svgUbrnlFtxyyy2jOseYsxAo\nqM6YUorh4WGYpolWqzUiMkCpyLUQKAjBsWEDwcyZJmbOzB7Pccpf8MFBA7t2yQ53zx7gtNPqSL/n\nS5c2wg4xr0hVNvWYIgMAcPXVNv72bxsRGYj3kT5/ae2rYu+9Xg++76MTHmxgYGBE9+uMMwbw6KOr\n8MADyzBnDlCvM8QWgAC2LRC7+jhI81DpWlR2HmUlcJAU6tU6HekPRp/X3ZJkjAHnz+SecXAQ2LRJ\nCp1PPklw6FCAyy4z4IQdd7UqsGVLeWccBNlrevllgUcfZWg2W6lUoqb2v4gE5r+Ts2ZlOxbHEZg9\nuxtpZco0eaOBrpF/rTtn/f2t1WpR4RzGWJTaVLce5GHPnj24/vrr8Vd/9VfjZGAcpxyccwwPD0dW\nrzLhx/cpPDfuU3SBwe0m3Q0DjyYEex16tV19G69H4PXk8dtdkUsGuj2ObmgRUN+Q51F4riIDEipf\nfbPZRL1ehxACnU4nSi/c6XRQq9VKifpffmYQf/HplowFICy0DpAoYJdTDuJTeL342hnj8D0CSlhc\n+dcj0fRX9wq0g6SfuZmjSdfdb7q+hUALyrYt4O1XnRmfk9BEWlEAoCTZ97OS9ZQk+17TkOeQ/4v7\nZMpyYhuphR5x4IWZhnrEQY84J5QKVEcQBKCUjijI/USg3IDq9XrUd9u23TeN6bFjx/C7v/u7+M53\nvoNJkyad9Ha9nlAF/Yqm1wNjmhBQStFut1Gv10fERBU2bqSlriD798sO69lnGQjhWLQoKbwdOlSa\nbxOLF1eg9x+bNwssXVqF7vHAmIVsTvq4/dVqvpvD7/yOjb/92/6R+Er7WqvV0Gq10Gw2I9cMpdno\nJ1ylsWrVJGzf/jbceONUNBpxYK/rchiG8u0vQtmraMCyapDXnx5g8oTyMhcQOzwGh7Q2uACypOCs\ns4xE8bYgANas8TB3LsfixQZWruzvLrR5c/H1drsqdiAZA2GayoKSvR/tdv49qtWyHelb32pg8uRW\nFITlum7kchMEwQkNHISQyAVgNP6lJxt6OrxGo4Fms4nBwcFIC9Xr9SKCGwRBpPnasWMHPvrRj+Lb\n3/42zjnnnNet/eP49UGn00G1Wh1VMKQSbtNQbj88x52g2/EjIqACbhW8XtKVJSjwtZcpRpN9Wq8n\nz6mTAR1qHKnX62i1WlFVWwCRNa/f+HH3H04EC/P+K3LgewRBoKca5XA7fnRfFDEIPJJwr8i7N7Kd\nOaQgdBVSvwExYFsCjAP1upkR8hlJkjDOGESYO5IRChZaB0Q6nyQkQaCE4D3vfStsGwgIQLQaBF5I\nSFwix65eIH9160CZG1G1WgVjDO12O+rjRzpuK4vraGSkEwVjLNF3t1qt3LZ7ngdCCG666SZ88Ytf\nxFvf+tZT2q7XA8p6WDS9HhhzLkPKMqCE2cHBwdJI+Tw89FCxQD9zJvD88/EH//LLoU/mChubN1O8\n5S1G34DjajX70T31lInzzmtg61YXhoGworEu/OovCIfnpbMJAe9/v42/+7sT09qqzrvRaMC27dy8\n8SPJGmAYBu66aylWr16MP/7jPfj61w/CdWXmilrNQBCIgmJsSiueP1jJTn8AQADglcQ606yBcz3Y\nWE83qua59h+QZEC1YyuAxYg/B4EDB/KDvffsoXAcine/u1aa63rZsioeeaRI6G4gWbRNtYmGQeL5\nAcXPPVeQq9zNdh5nnWUkXG5ONGBXQXXS6v14vaDaoXJjK6RTm6rMRYQQXHnllRBCYGhoCF/5ylfG\n5OAyjjcOVLE85c52oplRAo+AC4FqLV/LrqcUTc/rtQnUPGccTsXGWSuTmtbhdrKfEjwmAr7P8D9v\nGpneUAiBIAgiy0A6sFS5FOX1M9+6fQoA4L/84WEAMguRYRggkO43ah9GeZjS04rciyzLhB8SBcsu\nbqt0FcrPemdqQ4ZtASK85YyxTIwRJTRaFrkIWRYEF2A8Dh5mhMLU9hVcgDGAUqA+iuyZMs7AhB0S\nl3TK0UvOkLKCnu1HJQPpl+1HZXcbqTfAq4Fy3a7X69EYkpepaHh4GOeeey4WLlyIFStW4Dd+4zdO\nabteL4yk+NhrjTFnIVDBW3rxo9Hil78sFujnzct+VMPDwK5dFOecY2PRIqtvSeoDB/I3eOIJgYUL\n6zjvvAZ6vbSWOD5vq5Vtw1VXWfj7vx89GVC+g0rIUgVGlL9rq9WKhC/f90ccmFytWrjttjOwZcvF\nWLasAUDA84B6XWX6yYMe+KvmLTSbdZhmLRxYs5rpLMFIv9ZJMiWJhy6M+wDWRVucfTawb1/xtU2c\naOAXv+hi+XIDs2blC9HDw0XCtQGgEmqRVIpU3UqQv9/8+SJ8J7I4eDCfEKQxkoDdPOuB7/vR+/FG\nJAN5UH6rAwMD+OpXv4oZM2bg3e9+N1avXo1p06bhwQcffI1aPY5fNyhtZ7+ASR0fX3207zaCi4zl\nIO1KpM97Lsm4HqSFkHYn288pMuB5dMRkQAl7lUoF1Wo1N7B0JFVuv/ul6dLFhsda0sANEHgBSEBA\ngvj6Ay+Q1YSD2CWHlaRUzYPusmNbItLaMwb81gdkpVdVuZgxBi54tExBcJGYV+0HkpYDQKaprmmv\nhK/FAXrhf1dzNVWWgpFCZfsZGBhAq9WKxu28IHBlTa3X66c8sYIKWC6L91JtnzJlCm699VZMnjwZ\ne/bswaxZs/DQQw+d0va9HhBclE6vB8achQBApInwdJ+PEcLzRGFAMQBQmq859jxg61aKd7yjPLhx\n1iwL+/cXd1pbtwq84x1NzJxJ8OKLamky40xSMBS46iob//IvJ0YGlAWgLHhYDwwaaWCywowZNWzY\nsArr1h3H5z73LDZubKPVstBuJ12gLAthOlUlHMfkQAW4uS4FMAHAIeTXGFBQwc28YL1+/2uQVocX\nALwMYEpU/KYIS5ZYePhhis2bAwwOGli1qpaoUTFnjhVaePIwgKTrk3IbCqJl0sqV3GvaNIE9e7JH\nmzKFYdo0YNEiqQETAmi3JakpQzpgt8h6oJ53v+DyUw3f9yOz9mgGr/Xr1+Ozn/0s7r33XsyZMwcA\n8Pzzz6PZbJ6qpo7j1xyGYaBer8P3/VGZ/pWw71SSw7LvkShQWM3rVoPAI4m8+LrQTwIK0zIjVxo9\n002aDHS7FJzHcQOjJQOO4+QSIH38YIxFxL6oyu0//vFsAMCHP/08DNOAaYQpg3mYgpLKBBHqmr2e\nJ8eetOo8hbZnQ8AAFwDnAOMGqk72+RAKUCYLmHHKYGj9HqcMpq2Kj0lZQK2nhETrdMsBFxyccLzz\nvWeBMekuVE3ptbgwULGlu5JCj1iRVcA2Ry9X/AnaAAAgAElEQVQg6vVeGGOR1QCQNVoIIahWq6NK\nyHAiUElKVHv64aGHHsLPf/5z/Nu//RsqlQqef/75qNLuWMK4heA1gGVZqNVqUdGh0WLtWoIyHnHg\nQPG6IJAuJRdcUOxfPW9eOQer1YD16w0cOqRvF19HvS6i+INaDfjt3z4xMsA5R6fTgWEYozIXFgUm\nKy2z8ttOa4BWrZqI++8/H0ePvh1bt67Cxz8+UxsEDC2AWk1lnXva3ppH4PKq/uZdj8ryIwA8grPO\n4ti+vdj337IEdu2Kzzc8LLBunYsLLzQwaZJs8/z5lQIrkQpq1t2FAOkiFLsrOU5W4JWB2THOOENg\n1SqO+fMFnn5a4OGHBdaskb+bNgksXz46X9C09UAvUa869FcTtHaiUBasIAjQbDZHRQbWrFmDz33u\nc/jRj34UkQEAmD17dqKs+zjGcTKhBJ+y4phl8D2SCKQVXESBtgpuN1mRl/ixf7tuRWBhKk+aqkyc\nRwYURkMGlFLJtu2+wp5SMjQaDQwODkZuRWrcSCc++Mc/ng2/54EEJLIGAAAXXFoLfBJVCgakJYH4\nBN+4+/nwfPG5h92s0GsYQM834AUmvEBubGmX7djAu99/DgTn4FqBAhYknwWnDCLsF/V1gvNEcLFp\nANWKPA+hyfYBiNrg5GQVUnADC73AgkcsuMQeUXpSIJaLVBC46teVYu9U9uvq+CPJXrR7927cfvvt\n+Md//McoTm327Nl9K+y+GfFGtBCMOUKgcKKd8QMPlLkLAYcOFX8406cb2LmT4cknCS68MJ8UuG75\nh7diRR3dVLXIRiMWglQGI9sG3vlOC9/73ujJAKUUnU4n8m890UAiPTC52Wyi1WpFmod2ux1lnEgH\nJk+eXMGf/dkS3HffmZg2rQL5GiZdhSZMKCJVBqSWXYdANtg4fU3pKsDhPxGnJbXtAPv3P156zeef\n7+Dw4ewz3LDBBxDgootM7NxZ9IzryAZGKzIi2zt3LkMQZJ+HqnsxZYokArt2CaxbZ+SmPj39dOnW\n9GpACIFhGBgcHIyCBVWF75HkID8ZULFAhJBR+7g+8MAD+NKXvoT77rsPM2bMOGVtHMc4ThX8lHtQ\nel4PsE0jLyhZkQKdDAgRkwHORV/rqA5VxEoJm6MZR/JcW9K56gHgX76xAPd8dS68ngsSBJHQzzlH\n4PkgPgEjLCIGkjzF1972KxjyKhnhW0EnAF5goOdJDb5tGWAMsG1Dc/+JjytJQCy46QIc9ZNeBJwy\nvPO9Z8G2DQREwDSTZMBLZaNzAxM05QbbDazIpejVIggCWJZVGNB7Mvv0IAgQBMGIshcNDQ3hE5/4\nBL71rW9hypQpJ60Nb1SMtg7Ba4ExSQheTaT8T39aTAjmzCk/7oIFkq1TauCJJwguuigppNo2sGtX\n+flNM6vJ6PXUOhmvAADvfreFf/7n0ZOBIAgiv8GySs0nAqVlHhgYwODgYJReTM/6ojQTlEpLyo4d\n5+GHP1yKq66aiJkznYjwDA1RNBpOohKnfF1t1Gp52t30vUh/UGmtf1rTbIJS4Pjx/Tj77KMYSHMO\nAIDAsWPF1oOjRwUo5ZgyheGMM/LalyYDPJxiLc+cOdnOWAYUAxdeKNORrVsXu1MRku04Vq488Weq\nu5Ep39+RFgs7mVomZRmglI6aDPzkJz/B1772Ndx3332/FgPLON5Y0ItjjjjTi9J+86SyIi3Y65YD\nIEkS9Kw8QgiQgIL4NLIuCCGw6K2TE/unLQMARmQdUGRApR99NeOIsqioeDV1bD3e4Ht/djr+7ktT\n4fdceJ0e/J4HSmhIEnwQP0Dg+Qn//WEvq1QyIDJBuXoGImWAJFSE9QgE3n7NOVHmIJVZSJ/k/eCJ\n1KSMkMQ8IQKUCugGTr8890jkJuTmpK8+Uaj72Wg0YJpmZO3Ps9iMJENUGZT76Uj6b0opPvaxj+G2\n227DsmXLTvicbya8ES0EYzKGADgxC8Fzz7FSdxFVvr0Y8fkYM/DYYxQXX1zBo4/KTvzMMx08/XTx\n3o0GsGlT8jg6qlUDriswfbqF739/dH5/StsaBMGo/bBPBGkfdZX1RRESQMZ6WJaFK6+cjCuvjAeq\nvXs9HDwYoNtlsCzgX/7lOJ56ysWkSQ6uu24yajXgk5/ckwiYmzOngrBIXwiGSqWKIFCmdRXEy7T5\neNvYTcnEU09twOTJq7By5QQ8+iiiTELnn1/B44+Xx6X4fiWMH2A45xxZkG3LFhPSOpDOHMWRtmzo\nxXgU5s3jmD1b4OGH00HXwOHDIwsoHgn0Qb7IclQWe6DHlKjpRAQFvTDeaFPh/fCHP8R3v/td3Hff\nfWPS73Qcby6MZAz6yG0ys47UfAs41WSfEHgBLCceqolPYdlmbgCt5waZGARFDuyUK2Kno1X8DesT\njJQM9Hq90n7iRKHnqlcuiyoWsFar4Ud3vzU633tvkumiuWnAMGVRs8D1YZhGLhnQYZoA14Zzy0RU\nrVn9p1RaCAgVOP8dK7Dh/qdhhmyCcwHTNEICxzL/FSihePs158G2jUjZpccQeIEsUOYFMobAC8wo\n1agiAlZJ/MC7zvQL16WhtPUqxbgOZbGpVCrgnGcyRI0kE52O0QQsCyHwuc99Du985zvxW7/1W/8/\ne18eH0V5//+emb03CUlIAiQQkCsc4Qw3pFDRgmAVay2KiBVUftbbtt8vVim0YtVqpV+lYmtRtEVa\niohHi9arCuEUAoUAAcRwC4SQa485n98fk2d2Zmd2s5tsEoj7fr3yyu7s7tzzPM/n+Xze73fMx3O5\nI9zb4lJAMiDQ4bPPRNhsBJJkvumdToIDB6KlUwkOHw6rLVQYbNkiYtw4GzZvlpCWRiUlrVFY6ML2\n7VHqBwMELMvh1VftmmNjLIiVPNyS4DhO43XIsqylKn0+n4mY3KOHCz16hHgCV12VYVrfyy9n48sv\nz2nvq6rqYbOxBsfjESM6YvPm09r7tDQ3amupgxtV96HXg5KQVX+CCxfKsHlzf/Tr5wLgxZEjCior\no6fT+/d3YN++0ENeWqo0bCcVKs9Bn8VQLGVLT5wwXhuPh6BfPwUbNpjvSY9HwfHj5v1oSoaAEgNp\nCVisDT/NHjgcDu3a0uCA1hbTaxvLfUeDAX2GIhYQQrB69WqsW7cO77zzDjweT0y/SyKJlgDDMDHf\nuyIvwa6TDxWCAuwOe9h3RC1QUGQZiixrkpaiIEGWZO1zUZBAFMUgeQkYDcusggE+KMFKxU0P2pcA\niXW0DQflqtE6d6fTqQ1S6QD1nT/3j7j9j639Jg1gGQJZ1/6yLDRSL8syqp+DpJbvejwNE1s6kjF9\nTRQFsgLDa0CVSx07ZSg4jgHHApIcykDwghoUKIrqOhyOAK8GBuHBQFNPdzyz9Xoyst6RWu8KH22Q\nTyeWYiUsv/HGG/D5fHjooYda3AfhUoLSRlmAaGj3JUPxBAV//7sfKSkyxo5VkJdnvDELC1n4/ZHX\nVVDAobLSqmSCwebNCiZMcBr8C6wgSZEbY5WvxeHHP7Zh0qTYL1tTycOJBh3oUcUap9OplaDQ+sLG\n5C/1KC7uYnjv90soKEg3LAsvp8nMDNf2N3wbodl3Aaph2UkcPBjEoUMXcM01BFVV0QMCr9eqhMuD\nkGKS/vqKIMQYj3furODMmdBOpacT9OghI8yRXMMVVxBYnaJ4AwK9Skhz0v9WnBIr7kGkVLQ+cI3H\nMZMQgtdffx3vv/8+1q1blwwGkrgkEF/JkGQgDlN5TaJ7wMXGakzCQOUyw6EPBnz1avY66Bfxu3sb\nDwaoSk1LOdrqQbMDKSkpWptCZ7cDgYDGUbPqJ/Qz55HEh+oDLHxBBgGeQb0f8AUAXiDghQbDMt2Y\nl2EYjJ+mmhkqkqyRjImiaCUelFdAIUsyXC4ONpu6A5JkvBf0twZVPbKCXpq0KRU8sizD7/fD4/HE\nXRmgd6TWl3PV1dVZlonqSeaxmFeWlJTgrbfewksvvdSmKnZtAUVWov61BdrtFaCNVawN8rlzEjZt\nElFdDWzZouCbb0SMH8+gUyf19y5X9PVkZ0c/lSdOKMjOdsDjsX7os7LYiOVCDAPwPIfCQgZLltTH\n7DabKPJwc0EHnABMQQm1NA8fRFKXadrohxNYi4tzTdvJzDQaAB08eNHAQaioqEX37iG1AkLCO0uj\nnCtwHsB59OjhwEcfVcPlqsfo0dbnsKDAgZ07w9fHQc0KEDAMh9DjFkTIiC2EvLzQ7zMyCLKzZezf\nz6KqyvreS083L8/OhimYjQY6WHc4HM2uBQ5HOPeADiLC/Swo6Zxmi+INBv74xz/iP//5D9asWQOX\nKw7HnySSaGPo2zSqnkPr4EVeNAQJiqwYVHVEwRhYq06/kiGIAEISmD36ZFsGAwGfgMW3q+UhkZzp\n9Zm71ggGqGFW+CBWP0B1u90ghKC+vh719fWNEmIZBqgLcKj1s6jzG/vr8LEoLxAEggSiRMBxVIGI\nQdGVg7XvGEjFOndiWgoy4dqihmNR12O3MxAaiekkOaQ2pEeAZxEQWARF9b+PV/8aA+17XS5Xszxk\naD9NvYncbrfWd+jPfTAYBCEkpr7k66+/xuOPP47Vq1fH7NfRnhAvh2DZsmUYMWIEXC4X7rjjjojr\nXblypUYap3+x+ji025IhIHZysSiKWLOmBvqSLllWJUjdbqC42I6jR6PX6l24EH1w3q2bE5s2Kejd\n2wlFEXH0qLF+rF8/NzZtsm7MXC4OeXkcNm1iwXGpBr14lmUNJRn0mKnWs9vtbnGd4WigZUHUsKax\na2JVgkL1k/WOyWPHdgLHMQYeQU2NkXBXVydi0KBM7N1bqS3Ly/Pi2LHQlHv37uk4dqy64Z2I0CBd\ngCpvegpVVSyCwUwEgxLOnbuIoUM9qK52oqIitG2XywFC9NdUgeqZoHpIhLIB1G/AXD/odqsNfHq6\ngowMGYcPc+A4lVBsBauAMB7+AHWidrlcMc3mNAe0Q6GdOy0FoOVFhBCN5BYrCCH4/e9/j/Lycrz5\n5pttapqWRBLhaCxDQAjBzY+oNX82u/HelURJW8aHlRCJfEiDn5YSiYKofZ8GEZyd07YfnimgwQB1\nBE5JSYEgCFpQTktDaJknnYmPl9PTFNB2KZorergLO+Wn6Wvew4Um6gJ6Z/OGF7rLwzKAgpBxJu1f\nJInAZmMgSQpcLnV/CFHAMKwpEKBlWkVXDgbHhvonm4WDMi8Q2G0MgjygrxCz6eaJ/DyLOKqDDdCb\ngSWyfdefeyoQQs89gJgmZWpra3HXXXfhlVdeQXZ2dsL27XKCHCeHIC8vDwsXLsSHH36onetIGD9+\nfJPM3NpthgCILWUbDAZRX1+Pd96xbuQCAaCyUkRKCkHv3tanKyuLwcGD0ctJqqvV9R85ouDMGQ7F\nxU7o27qzZ61TeU4nh5EjOezaxcJuZy314sOVfHw+n8F5uK0giqI2O9GU2Wfa8NBZCapDr85GBDFo\nkJFbUF5eDZfLeB47dDB2ClVVxsDObmFME4IAgKC6+gRUMzQVu3f7cfLkRUyYoKBjR2DUKDf27KEP\nN4EaWHgbXlNuggMqX0GVWM3ONnd0lZUs0tIIOnVScPSoehw9eigIBKzPW2Wled9jLRcSRVEjfbV0\nMGAFOuignQcN9CJlD8KhKAp+85vf4NixY3jttdeSwUASlxQohyBS/0MIQV1DLaBK+rWSCTWWEOkV\ndNTsgfqboN8sdECzDVagwQCgZgeev9+pzbzrZ3+pFKXP59PUvlo6GKDlLW63O+ZnmvINwt159dAH\nA3pYlRPpq2podkDSZQpGf6+hdEimZUOhGV1FljHy6mFwuWyQJAUcFyITU9CSpHDoL6MoAQFeZ9wZ\npzGZnvjdkrPv9NzTbVCuBx2LWElTy7KMu+++GwsWLMDgwYOtVvutQLwlQzfccAOuv/56dOzY0WJt\nRjRVHapdBgSxyL7REgW1bt2LTZsiD+g7dgTKyyWcOCGguNjcsPTty0at7cvKYrF/f+gCBwLAxo0E\nXbs6MXasE/372xvkSI0r4TgW6ekMNmywWZKIwwfMHo9HI3XSWZ22MJMCoCkUeDyehA04aeNGZU2/\n8528sG3KKCgwBglnz/oN7w8evIjOnUM15keO1IT9RkaodIiSjAHgLIAK0Jl9SQI2baqF0+mD16tA\nlbqXAfBQswx2hB4vTrcuFixLUFtrvI9cLoIzZxh06yajvDx0rTt1sj4XDodiyFBQDB3aeIdNMy4e\nj6dNA0aazqYBLi0FSEtLg8Ph0LJL9fX1CAQC2uBEURQsWrQIdXV1ePnllxOmmPW3v/0N/fv3R0pK\nCnr37o1NmzYlZL1JJKEHDQbC71tZlA08AaIQ08x++CBf/319kEARKTMAAMGAaDI8CzcPA6AF5Val\nm4mEvrylqe0S7SP0TuQ1/ujtA8OYS4Y4FuB5pWGdocCA4xiwHIMxU4pQdNUwzZSM/o2aMhw2GwtZ\nJlpWQJIJBFGBzx+aEaZBgSC2zLmkpTutUSpMgziv12vgeoR7S1y4cAGEECxevBjjx4/H97///SZv\nsz201YqiGP7On9yKgzte1P4iobHnj2EYlJaWIjs7GwUFBViyZEnM2Yh2Pa0WKSDQE207dOiAP/3J\nH2VAT3D0qNpo8jywcSOPoiI7jhwhqKlRv1FfH/1kFxQ4UVJiXl5RQVBRAUya5IXbzWL/fgHBIOD1\nMvD5VAnKZ5+N7RIpioJAIKClUAEYSjJoJG+z2eKSD4sX4frxLSVvyjAMvvvdrnjhhb2G5V6v8Xwd\nOVKDrCwXKitD0y+9e6fjm29CgULHjsYUp9NpA691rAIYxt1wf9QA8APoCJUsbIPd7sZnn12E+igp\nYFkRitILoWCAAHCCYSQQonZyQ4YApaXG89+7N4HNRrB7d2wx+hVXKCgvN1/DIUOi/46WkrWG9Gw0\nhBOZ9aD3KlUZoTJ427Ztw80334xevXohKysLy5YtS9h9/NFHH2HBggVYs2YNRo0ahTNnzrSo6VoS\n7R9W/Y8+GJjzv2rWkbMZn0M6qKfPp8iLhpIiURDBcqzOMEsG1yApShQCSQmVFAFqUNCtVydTMAAA\ny34eGjiHg04mUZdYfVmI3W6Hw+FIGBGUtgdOpzNhE0hXDeDx1pdGgQEmVBFkQoBXFYVkmWilPqJI\noBACSSQNJaxqpkBp+D9yShEIUc87yzHgGs4HxzGQFfU3Ki/KeI0ddpUgbLcxkBUgwIdKhfxB1SU5\n/NT6eQZeHZfxuqF+mA041etGxTtaOhigmYhwjoJeqYiW/f74xz/GiRMnkJqainXr1jV539pLWx0u\nO5rRqQgZnYq094d2/sHyd42dt+985zsoKytD9+7dsW/fPsycORM2mw0LFixodJ/aZYZAj/AbRRRF\n1NTUwG63a7MIr74auR5r4EDg9GnjDPvOnSJSUwn69AHS0ggOHIg+A19XF/k0O53A7t0cdu0iUOWW\n1WAA4DBwIIMbb2z8EunJw7Q0h5Zk6M2kAGgReyKMR8JBGwdZlltlwDluXBfY7cbzc+GCkUdACNCz\np1GPvqrKmGLfvfu8wRlZFHlkZoYGqYQEoDa8bqilQAzUAMCGY8fqoQYJNQDqoChdYXZFJlowAKgB\nnx4cR5CXp2D3bvODblUWBABWfltpaQRZWXURjcJ4nr8kgoFwInM06EnnEydOxI9+9CMMHz4cPXv2\nxNVXX41hw4Yl5B5etGgRFi1ahFGjRgEAunTpgtxcM3E9iSRiRXhAoA8G9EpYsiRDEkVIonl2n87s\n6Wf/FUUxzfyHkxBlMfIkld+ntpFLH4j87IU7hEci8ybC3VY/OdAa5NLwMqF6H4FPpyDIMqGMgLaM\n1QuVqMtU00ZGyxqwLAOFEBBFDSpYpiHjYmcgNCjeiQ0ZgTAzY0MwYAVfkNH+B/gGZaQGwQ397C+V\nZm2N8i5aZdGYohBtvx999FF069YNQ4cOxfDhw/HrX/+6SdttL211U43JGnvWrrjiCnTv3h0AUFhY\niF/+8pdYu3ZtTPvULgMCfcmQHpQv4PV6tVTaxx8LqKiI3Himplqf/JMnZRw/LmHCBDvEKMoB2dks\n9u2LHDAMG+ZEdTUQKlVR686dTmD16sYHbbE4D+vlIMNr8RPlNNsW8qYpKXYUFRkJSYcP1xgG9+q+\nGc/JgQNV6Nw5pEjk90sYNChL932CwsIMDB/eBR5PJoAsAOkAMgHkAshAKLlGvQYAIAdq5oCCkpSN\n6e/Tp43nZvRoGZWVMMHpVHD0qHk5YFS1oBg6lEVamrXUJ73G9Nq3FWgZkMvliqvzF0UR8+fPR79+\n/fDqq6/ilVdewYkTJ/Dee+81u+OTZRk7d+7EuXPn0KdPH3Tr1g3333+/ZoiURBLNRXgwwDAMZAtJ\nUH1dunkdiiFokMRQ+Y5eYpQuk0UZiqRA0Xmz0GAg3PFYD57ntUFleDseXqZK3W2j1YxHA51EssoU\ntjTq/QS+AImo7c8wZt1/lWjcUEqk+5BtIGezTCg4oFkGKUpZUJAPfSaFDUMCQTVwiBQkeDwebVBO\nyyopGbul+19aCcAwTEzX7fjx43jsscewatUqrFixAqdPn8b8+fPj3m57aqtlWY76FwlNNfuMBe0y\nIKCgMzT0oeF5XqtPpnjhBX/E33s8QFlZ5NE+zwOnTskYN84Gp9P6hBcUuCy14inq6uwwDipV0ulj\nj7Ho1Svy5aEycLThjqfmMrwWn9Zr0wFkvLWi9Ld2u73V5U0nTjTyCBSFoHdvY0bg4MFqg8oDIcAV\nVxi/U1srYMyYXIwZ0x1ZWZ3xxRcBOBzp8Pu9UDMDHAAeLFsFK4UgVZEoh+4F1KxBEBxnbCw7dyY4\nejS0L8XFEjZvBr76ynzOevWyNskDgAsXrPkDVqRzqkpF75lYJGtbApIkacFAPGUBgiBg3rx5GDt2\nLH7+858bAv5u3bo1e7/Onj0LURTx1ltvYdOmTdi9ezdKS0uxZMmSZq87iW8n9KRiq2BgxvxyAIAs\nSqbgXh8oyDoisRX0mQXKOZDDRpbdC1TPFhoM8AEByxdYu3gLgqBNHDQ2qKRZaK/Xa6gZj+YPoAft\nlzmOa1XZyVofQb2Fp1AkvwKWUd2KJUmBJKklQApRS4n0IA3L1NIi9dipUaYoKFqWgHITAsHQ72lg\nEMoUWF9z/T7qZUAdDgcEoeH6NmR3WrKMRhAESJIUkwRtfX095s2bhz/+8Y/orJLt4HQ60SkSQS4K\n2lNbHW+GQJZlbWwmy7ImuhGODRs24OxZ1f384MGDWLJkCWbMmBHTPrX7gICqJSiKgrS0NMPs6H//\nK+KjjyLPlAwdykQ0hQKA7GwGe/eK2LxZQH4+h+7dzafz/PnID0vv3jaUlYUXNTIYP57BT38amTuQ\nyNIcWq8drbQoWkqYKglRu/nW9jqYONGcKnSEuXzW14sYONDIzK+uFpGe7sS4cbkYMKAz9u4NwO+3\nY+vWelRWqh3soUMXkJlpvA6KIgGoAlCPUGBAAHRt+F8Np7MWgIwRI7yQZeM90bNn6PwUF0vYuJFB\njx4hFSo9MjOtz7nDYS1FakUoFgQBLMsiLS3N5PHQlOCvqaBSgvGqGgWDQcyZMwdTpkzBfffd1yL3\nF73n77//fnTq1AkdO3bEI488gn/9618J31YS3y5YBQPhoLP4ehUhWZS0wED/mr43lwgZsw2yJDeU\nIknw+wRDMBDJ4EzPL4p3hllP5o3FH0CvgtOa/UatL/rnDKNKsQaDCoJBBTyvgOdjI2Tqj4FOQNls\nqmyr3cGCKNbutPosQZBXPQv0iOVS8DwPl8uFtLQ02O12CILQ5KxNY4inLEmWZcyfPx8//elPMXTo\n0GZvuz211dTgLtJfOJ544gl4PB4888wz+Otf/wq3240nn3wSx48fR2pqKk6ePAkA+PTTTzFkyBCk\npKRg+vTpuPHGG/GLX/wipn1q16RiQgh4no84WH366UqMHCmDYez48ktiKi05fz66lGjv3izOn1cv\n3OHDErxeBmPH2rFli/q7nj1tKC+PPEuSk+PEkSNASMmGQc+eLDZsiDzAp4x+WgKUyIY0XNuZkjmp\nKg3HcRoxmWVZbTYpml50S2PMmM5wuTgEg6EHSO8zQJGaGhqEFhRkID3dA0FwYPPm2oalZrZZVZWA\nkSNTUVUVvjYCwA+G8YNlbbDZ8gHwkGUJksSBKt4Fg2bHXDrjX1wsY+NG9XVuLlBRYT42KcLtd8UV\nBOXl5uX6gIDOvrEsq2Vt6Iye3uOBGgBRjwf6l8iUs17VKJ77xOfz4bbbbsOtt96K2bNnt9igISMj\nA127dm2RdSfx7YYsy5oru/7+1c/scRwHpSFLoPcfUIgCyADLsNpndPKHBgCsjTUEEZw98vPFB9Sg\nYMViMwGJugInYoIpmj8AJSLTEo+WzijfOMKvEYtpMEAzNwxj7fzrD6jXhmVVB2GGYcCCQGEZSIIM\noqhZA9nCpZceiyQpsNlYiKKiORVTKIqOuGxv3rGH1/Hr23jaf9P2nXpLNOf6yrKsteWN9RGEECxZ\nsgQjRozADTfc0ORt6tGe2mqrst9oWLx4MRYvXmz5WZ1u5vrZZ5/Fs88+26R9apcZAoZhEAwGIQhC\nRJfeLVsCWLeuHjt2BLB9ey06dfKjuJhojsRDhjA4fDh6QHD6tLE18fkItmwRUFTEoUsXFrm5kWdC\ns7JY7NxJNerV9WRnMygpYS0lRoFQyUVrOQ+HlxY5nU6NAFZbW4tgMAiXy9WmNek2GzBqlLGDO33a\njx49Ug3Ljh+vw4ABmRg6NBfl5UFs2XIBubnGAft//1uFvn2Nqhs7dlzA6NFGB2QKQoB+/bIhSdng\neZuhvKdHDwf27TOeF5YlOHSIbQgGjOuxQvj9RZGVZV6emgr06aO+pteIppRj5ZXYbDatHlhPWGvO\n7FJTg4Ha2lrccsstmDdvHm677bYWv9fvuOMOvPjiizh//jwuXryIpUuXNksWL4lvNxRFgd+vlqOG\nBwPXzt1n+K4sy4YZ/3DCsCzLhoBB2xzgiZYAACAASURBVAYJkYutMgsA0OUKY1nGy492MO0rfUYT\nLTZg5Q9AM8+SJLVKZoCWLUXLDNBxrc9vlAaNbf1E+wOgKREBoXKhaNDLzeszBZyuNijIE/ACQZAn\n8AfVv5vH+LUSUFrHH34uaf+dmpoKr9erBQ91dXVN4gzG63r897//HSdPnsSjjz6a0OvcXtpqmsWL\n9NcWaJcZAkqKikSyFUWCBx44Z1h25oyMM2fqkJPDYfhwN3y+6A/LoEE27N1rHTDs3CkiLY2BzQak\npAD19ebv9O/vahgUqttJS2OwdKkNaWnWDTJN57bVbLxetpTObtlsNsPsT0vMLkcDLUO58spu+OKL\ns4bPunZNRUWFGjXn5nrRuXMaKisF7N9/UfuOVSYhI8N8/nfvrkRBQUeUlxuJSykpdtTUdDe4JVN0\n6+Y1zfoXFDDo2DGUGaA4edJ8j3booOD4cetG1GpmYciQBpWLMMWOWBviSA7Rfr/f4BBts9liXmdT\nJU6rq6sxa9YsPPLII7juuuti/l1zsHDhQlRWVqJv375wuVyYOXMmHnvssVbZdhLtDzSjqiiK5fNC\nGgZjDMtqr4mivgdokKBo7xVJBmujMqTqTD99r88cUMiiBEY3qOQDgpYh0INmCD0eT4tO7NDBqaIo\nkCQJNptNy2DSmetEBwd0AFzriyytSuEPhIjCCiFgWAAKA5YlCDRkDOjECMNGHuyrqmiMJk8KqKZm\ngJoxEATF5FosSQSSBEMmIdAQHKiKR9b7TGvIY5EXpZNDLpcLsixrbTNt1xs7//G6Hm/fvh2vv/46\nPvjgg4SPB9pLWx2NG9RWYMjlKODaCOhghj4wXq/X8PkTT1zAk0+a6kA0DB5sQzAogmEcBpMoPUaN\nsmP79siE41GjXNi+nUN6OjBgAHDmDLS6b68XsNtTEQgoEAQ1qLjuOhvefNNMDNbr+rd0o90Y6GAz\nvFyJNvLU9yC8tKglZoFog+Z2u7F/fw3GjXvL8Pnw4dnYs+ccxo7Nxc6dVQgEZBQXd8HGjd8Yvjdg\nQCb276/R3rMsgx49MnD0qHFKKTPTgQ4d0vD11yEHzNGjh2LbNjMZjuOAzMxOBv6I262guJjg3/82\nBnNZWQSVleZ7bOhQGbt3Wz+avXvzDaVmITzwAIslS6BpeSeSpEdLi+hfLNe3qcFAZWUlZs2ahYUL\nF2LKlCkJO4YkkmhN0FKZ2tpaZGSEjA+n/1j1TWFYxjAgoIN3ohCwNk4LEtTP2AgBBNGCAj04jgPD\nMmBYBhmdMgEAQlDAyidyDN+jEyqtNckUDAYNUqaEEO08SZKkDUzjmXSIBD1h+W/bzc6udNhTV69o\nGVr6n5KFiULFO4wBAQ0GrCaCGEY1FOU4BkQBbHbKJWA0PoHNxkIhBDaOgcPBQpKIFgzYOHXCkuUY\njUDMcWa1o9njahAMBmMif0c7R7QkONr5p5kIQkhMJOJTp07h1ltvxfr16y9LOdDWQCz3d0ZGBqrM\n9cotinaZIaCDFCtjmPffr8dvfhPtJBPwvIBDh0QwjIDx41OwZw9rmOXPy2Oxc2cUrVEAgYCqHlRd\nDWzerC7LzAQ6dwa6dbOjokLBV1/JIATo2pXFX/5ibthpVA6gVUxGooF2HtQ4Rr8v4bPLdODoUw0V\nDNmDRDT0lLtAB5uDB3dETo4b586F/CRqangUFuZg06bz2jL95xQZGeESpQQdO3Imuc+qKgF2ez16\n9kzB0aM8Ro68wjIYAIDBg90G47Fu3WS4XAJOnDDLs/XsSSwlRyPJ3bpc1oTiIUMIfD5/3Ao+sYDj\nOE0JJJbrq5ctjCcYOHv2LGbNmoWnnnoKkyZNSugxJJFEa0LVqGcN/Q8NBoAGhRGigGngB1C5UYZh\nTYRCoshaAKF/DRgzBxSyLIMhDLK7hAKA8DIkPcm/NYKBcF8DwGhASOvdqcNuc+rdab/ZmCRmXX30\nKoBgUDaRgAVBBssykETjbxmWMQzaJUnRTMpsNgYKCQUUPC/D7mAbthHiGAiCAgGqWVljaCr527DP\nFnwDnudNfA9aXhQLidjn82Hu3Ll46aWXksFAFFyq8/DtkkNAER4Q7NnDY/bsb6K4EgNjx3IoL2+Q\ncSNASUk9UlP9GDZMXx9uQzQn6L59Hdi719zYVFWp5NEdO+woLyeQJAKHA3jnHXVmWg8q5cmybExR\neUuClo5E8zqgoI08lUOjjQjP85rnQVNlL2m2RBAEg54+wzCYNCkkPzpqVCecOyeCZY2dSXl5Nbp0\nMfIB9u69AJfL+Bh8+eV59OljzCoBwNmzQZw7V43i4gx89VWO6fPQOfA0/FcwdmwQFy7wqKyEpbOw\nPQKpzOezmn0iGDyYoLAQGDUKGDYM6NVLrYHt1y8Qt4JPU2B1fWmnUVtbi9raWo1oHk9nderUKdxy\nyy343e9+lwwGkmi3IETR/vTvKVTOjvk7mj9Bw2vDb0QRss6fgAnrS4SggL881cWwDdqexyNX3VTo\nJ3AitQmR6t3r6+vB83zMAyjaR+hns++YaJYW1wcDtDvTd2sBPyUWhxYKgrnTD2UTCBRZdTrWlxMJ\ngmxQKZJlYggGKOjr8GAgUjzkdrsTWi2gV4mifbaebxAL30NRFNxzzz24//77MWLEiITtWxKth3aZ\nIYiEIUOc2LevO/7611qsWFGLEyeMsybduzPYs8dscHHmjIQzZ2owdqwX58/bsGNHZKlSAMjMdCKk\nHGREUZGroYZcbSRWrGDRrZuE2tqgVopBSdEtMdsbD6xm4+MBdZmlv9OXFtEaW1rD2FhpEZ31IYRY\nZksmT+6KtWu/wvjxudi4UeWHeL3m27tXrzScORPKFNTWihgzphO2bg1N0xOielBYob5eQn19R3Tv\nXoPU1BQcO2Y8J9nZNhw8yGH0aBHnz0vYsgUAGAwcCOzYYT6+8+dNiwBAy1DY7QTDhgGAqizkcCjY\nvt3YOXbpQjBwoKtVOnc99NfX4XAgEAho9cF0hk6vXBTp+lZUVODHP/4xli9fjqKiIsvvJJHE5QSa\noQaM6jNWCJ+FliUZnI1rWC43cINCr0O/kXWTIqHMAsMyyOjcEUJQ7af+sMCL2tpaLZMXCARaLRjQ\nqxfFOkGgr3en/QXd/8ZKiniehyRJUTPq9Y3wA4OB6IRO0/WSFYMQCMcxDURj2bCc50PZAEkkcDga\nPx/+QANvoeFQPG71RUteO9qmcxynKRpSidhIfA9CCJ566ikUFhbipptuarF9S6Jl0a4DAquSobw8\nG37+83Q89FAq3nrLj2efrcbBgyLS0wFCJPgtDEsotmzx4bvfTUFGBocdO6y/162bDTt2WDc4GRkM\n9uzhoKoKEfz613b84Ac2AKFSDMp7YBhGG0BzHNfqGQJaN0hJS4kgBjVGXI1UWkQVO6JlSyZP7oqi\nok5aMAAAFRVmNndtrTmYs1q2Z08VRo7shB07qg3Lx4/vh5ISCYAEIIjevZ3o3NkJhlHLA9LS0rFx\nI49t24zr4zhzeVFKCsGRI+Zjyc9XUFkJFBcTlJcTbN8e+ky0cL0sKGBaPRjQg87KKYqi3SuEEEMa\nmnYs+gAQAA4fPoy77roLK1aswKBBgxKyP5MmTcK2bdu0UoiuXbviwIEDCVl3Ekk0Ff9cOQiyLOP7\nOpUhTZ0mLGMqS7LGF5AVGF4DRvIxEJpJDucmCAEBXm8OFEXRykFo36IoSosKQDSXsGxVUhRe0qJf\nr74sqanBgN9vLRTC86HlNAOgP8/UiIwhDIiiuhXrgwEhKGt8gmBA1ojFqtlZyLcAAHhBHR+wLHVA\n1u1fgOC+a1relVdRFO3a2e12A9+Dnn99cPbWW2/hq6++wptvvtmksUqyzb400C4DAr2TqT4goINQ\ndfDJYebMFFx/vR2rVtVi1Softm+PLjNaUODEf/4TACHAiBEunDljw6lTxgFa164unDhhHSwMGOBG\nSYlaSnL33ZzJfIwaiFASdLhGfKIIV42BpmsZhmkx7oJ+9pgOHmlARAePdCYiEAjA4XBELVfq0sWL\nQMDY2J886UPPnqk4ejSkJrRv30VkZ7tw/nyoUd2//yJ69eqAr74yBhCnTtXB5WK1dG7v3ln48kvj\nwPvIER5HjoSIxt265ZjM7BgGOHTI3PH26aOgtNQW9l2Cfv1klJYSgzRpaJ/MHdrIkW1X+UcDx/Aa\n0/DsECWwSZKE6upqXH/99RgxYgQ2b96MNWvWJCwYoNv+wx/+gLlz5yZsnUkk0RSENO9Vk0xFUfDe\nq4UghOC6eWVRf0sURRt0EiU0+0+5BHrugCw3ZA8UFikZqguxEBDw5nMhzXZRFDWZaFEUUV9fr2Wl\nE63yk2jCMi1pcTqd2kQSVSmikyHRHJYbCwR8Puu+PxCIzhWk14eSuPUQBbmBHKwPWkLBQCAow95A\nNqbwBxRNnaitQPt/mg0AzMEZ7atvv/12eL1elJWVoaSkpMkBZrLNvjTQbjkE4aRiGuESQrQZTLXE\nQcQdd3TE++93x//8T0c4HNYPo93OQFEYjX/w5ZdBVFX5UFwMdGiQdu7Z024q56Do3duGrVsZeL0K\n7r2XxfPPh0qBaDkMnWHVG7tQjXiO4wx1+E3REY4FlLsQzVkz0aCDR1rDSB11BUHQSNV036LVkn7v\ne2bDktxcIxdAUQgKCsxa3J07m70GTp/2Y8QI9btutw2imKeZjllhyJAMnDhhPl8FBSyqqszLU1KM\nj1+vXjL69hVQWytalhJlZBA0mBEaUFTUNo+xvoyrMcIZJbB5PB5kZWXhZz/7GQ4fPgy3243i4mLc\ncMMNOHbsWEL3LYkk2hq0D6LBAO17fD4f1vyhFwAYVIPC/4CQzLCeSwAYnU5ZloEshbgF+mCAqsPR\nAbXNZtM4QHa7XfMeoSV/zX129ByFliAscxyn9Y1Op1MrS2JZNmIfcf8046y6nhtg5T0QqSkTdTwC\njdhNVG6AJFLHadnwPQCQFUXLIgCwdD/WcwpaSbnbBNqm0/7YCjTTn5KSgocffhgVFRWoq6vD0KFD\n8frrrzdr20m0LdptQEChd2Slyg+0gaT16BzHwetlsWhRDrZvvwLf/a65gHz0aA8OHzbOFgQCBBs3\n+kBIABMmAHl5DkuyMcsCTqcDY8bIePppFs88EwoGYiEP6wk/1Jqc/i5RBlJA6xufRQKdZVAUBW63\nGx6PRwvgqB27KIqm47UKCGpqzOVAVVXmUX1paSU6dDCX3ZSUfINBg1IxaFB/HDsWPQBzOjMsl2dn\nW3eKVFHMbicoLpZx7JiC8nIOlZXW6fUePay3P3Jk618nvQJWvIHjrl278NJLL+HNN99EaWkpjhw5\nghtvvNEgz9hcPProo8jOzsaECRPw+eefJ2y9SSQRC8JdicODAZZl4XK58M+Vg/CvN4YYBv/hfwAM\ngUA4ERkI8Q5SM9MBAKKgtnvhviTh++hwOOD1erVMcCAQ0Ii8TZlwkmVZM69q6TJGOumnKAo8Hg8c\nDgd4nteCGzma8kcDohmRhWcH9IN8SVRCbsPh+8VGbgutvh8IyhCExE/uNQWUwB1L/+/3+7Fw4UL8\n7ne/w5EjR7Bq1Sr07NmzydtOttltj3bpQwBA0zauqamB1+vVZipoKrOxEpTVq2vwi1+cxblzMsaN\n82Dz5ihTwwBGjUrB9u0M+va1ITubA8BAllUn3dRUB778EvjTn5z43vdCg0NKrm0qeVhfh09ndpoq\n8anX9W/revRoRGYa3ImiCFmWDXXpigLk579pCAI4jkF6uh0XLhivX16eF6dOGdUnios7Y+NG89T8\nhAldsH9/V1RVRX5UOna0o67uCggWfPOCApfJz8LtJpAkBt27q+RAyiVISVHg96v29uEYO5bHli3G\na5qXBxw61LrEc/2gJt7AsaSkBIsWLcJbb72FLl26NP6DJmD79u0YOHAgHA4HVq9ejfvuuw+7d+9u\nVmeVRBLxgLZj1dXVmlRzY8/NNbN3h7IBCjHxASjCB5wMw4K1cWBZBk6Pmulcu6yXIRiIJr8Zvt/U\nuEoURdhsNjgcjpj6E0VRUF9f32piGDT4CO+zaJ8oCIIW9NjtdvzhA+NEX119qEwo/Dz7/cZgQAiG\njN4kUQHDMlBkRcsAsQ18AZYx8jgcLhsIUfshm42FLBOtRMhmZyGJCmx2FhzLaKVCHMdAEBQtS6A/\n7y4X22IcgljUoCgURcG8efNw/fXXY9asWc3edrLNvjTALV68eHFb70RLQJIkbdac53ktQOB5Pib5\nzEGDXLj99nRwHLB2rS+qVGnHjhxqalzw+wkuXFBw4oSMEycknDwpISWFxY4dHB591IFbb1UbLdpZ\nUOfhpg7AacaDEqwo+Yeum86Q6BUvwkHPD20I2sIFWb8v1LxGLyuqB8uyWidFr6EkSQ3mbSL27q1G\neXmtbp3AsGEdceKE0Whs6NCOOH7cuIznZfC8YhiMd+3qQUVFB3TrxuDiRbvlQB0Aioq64OuvzZ1g\nVhZw8qQdgPH8FxYS9OpFUFamoLIy9Fn//gTffANLZGbKOHvWuJ5JkxRcd50S9RonEnrDn3iDgc8+\n+wxPPvkk1q9fj06dOrXYPubl5WmEwyFDhuCLL74AwzAYNWpUi20ziSTCITTMDtD+h+f5qJng2T/o\njL+uOxManNJ/igLolYpI6E9dpn7mTlHLI9cu66Vl8MJNJBuDvk+hGQW67zTLYTVYDC9LamnQ7VkF\nH/o+guM4jYu350TIsVgfDADQzjVgDgYAQJZCjtOKQgzfB9R2UeXCERBFLUlibSHlPJZlIIqKupxl\nGsjEDe85BizDaGVMvKCAZUJkYv21kySCMQViwtt6eo5iURMkhODZZ59FRkYGHnjggYTsS7LNvjTQ\nLkuGLl68iMWLF2PXrl1wuVxwuVwoKSmBJElgWRbBYDBi2YkeGRkcFi/OwWef5WP0aOsZFoYBundP\nw/nz5pFiTg6HCxecWLjQgYceUhutcC39RA3AI9Xh0/pQmgbWlxaFeBRSxAF4a4F2YPGoGlGik8fj\nQWpqKtxuN66+2myGwvPma3PqlM+07OzZAEaOzNLeO50sPJ7OqK8n2LevHsOHS2BZ6/ulosJap7Rv\nXxsIMTaYvXsryM5WsHEjgSgaP0tLs1wNAAXHjpkb3hEjWMM1TlT5mOUeNMwA0hreeDqCDz74AL/9\n7W/xzjvvIDs7O+H7lkQSlxI+/fRTrFy5EoIggOM47Nq1C0Bo4BWpVv+DVcPx4eqQ9K5efUglGSsm\nRSKW4+BwuyCJkhYM0KA93udUDzq7HkmbnpYU0e1ZlSW1BPTBR7RMBBWu8Hg8SNM1rKZgAKGsi1Uw\nIATV7xOFmLgBqryoznHa4lzLsmLpYaAnEweDEoJBGUK44VnY+n4ypVorFRYEISHtPFXxi9Xb4J13\n3kFZWRl+9atftak/UhKJR7sMCDweD8aOHYs33ngD3/nOd1BcXIznnnsOACKSdKOZZRUVufDpp/lY\ntaoLCguNDdD48enYtcvcwHTowCA314snnnDiZz9Tf0MbMr08Y0uBEn+8Xi/S0tLgdDq17dfX18Pv\n96O+vl4jhLbkvjQGul8Mw8TkhmgF2vhfe21Pk8nbvn1V8HiMDd3Ro3WW5OKTJ+s0Cb+iou44dCjU\nkG/bdhEjRkgIj+GGDeuIkyet91kUQ9v1eAiKiyVUVEg4fdr6OOrNSqkAgB49gJoa8/IxY2zaNXa5\nXFpgFY1r0RSElx/Ec43Wr1+Pl156Ce+++y4yMzObvS/RUFNTgw8//LAhYyRh1apV2LhxI6ZOndqi\n200iCT0GDRoEnucxY8YMXHnllVi+fLk2ccFxnMaHonK94dAHBZHAsAxYjgPXoDa0/o8FJo5CogZs\neiKvy+WCLMuoq6vT+pNoJNREQp/5iGd7DMPg/mlBy2CAIlowEL4PsqyEJGMb3suyAkmSIUkyBEGG\nyMsQG+RKjX4ERgnTYCC6uqEe9B6iZOra2lr4/f4mk8Hp/eJ0OmOqVNizZw+WL1+OlStXJmwCMdlm\nXzpotxwCACgrK8P111+PkSNHolu3bti4cSO6du2KadOmYcqUKejQoYOmPkTr8KkMm81ms7zhCSH4\n97/9ePXVatTV2fH55+bIv2NHFrfdloa773aie/eQXnRTUriJBpV/DAaD2nt6vImWnosF9LzQ2aVE\nbP/KK9/Htm3nDMtGjszCjh1GfsC4cTnYvNnMGRg9OhsM48LWrdYN5IABXtTVpeDECbUjLyrqhZ07\nzfeKwwHYbG7wPDB6tIKjR2V8841qeiaKrCk7wLIKPB7roGDsWBlbthjvNY4DvvnGDo/HalbKmmsR\n6b6OBpoZiLccgBCCNWvWYM2aNVi7dq0mp9uSqKysxLRp03Dw4EFwHIf+/fvjiSeewOTJk1t820kk\noQcNCGRZxhVXXIE9e/bguuuuw6xZs5Cdna3VuouiqJn7WdXqf2/mDsv1szYODMPC5rBpUqbUELA1\nRCH04hwAtLLVlso0J+L4frPGOiPvqzeTv+hAnc4v0Vl+lmUgiaG22MzpoFwAFhynlg5xHKupDNl0\n7+l36PdZjgHH0jIjc4bgZzcY95P6M9BsQTzXgJ7PWIPHs2fPYubMmfjHP/6B7t27N7r+WJFssy8d\ntEsfAopXX30Vv/zlLzFnzhwA6gNw+PBhrF+/HrNnz4bNZsPUqVMxbdo0dOvWDYCa0qVqO3TWmT5g\ntE57yhQvpkzxwudTsHmzgPJyGRcuKHC7gYICG8aPdyArK/RANpc8nEjIsmxwQbZyD6Z6wy2dNaAE\n70Sfl2uvzTcFBFbHUlZ2EXY7YzL7UhQGBw86YCoUbcD+/T54vUEUF2fg7Fk3SkutG99Bg1i43QqO\nH5exeXNoeUEBUFpqbnx79QIOH7Y+JoYx70thIWMZDAAht0mn02kIenmet7yvI4ES95oSDLzxxhvY\nsGED3n777ZhJjc1FVlYWtuud3JJIoo1QWlqKrKwsvPbaa7DZbPD5fFi7di3uuusueDwe3Hbbbbj6\n6qvhcrmimm79++8jARgDA+pBsOGvQwEYVb9aIxigpa+UE6EoCgRB0LITkRxtm7O9QEB1mE/08VkF\nA+HgeUnbpshLUBqCIJZRCcSszdi/cBwLUZDAue3ab1gbq5UJ8bxkKBnSI9iQldDzDyIh3J9Bfw0a\n68fppGAswUAwGMQdd9yBpUuXJjQYAJJt9qWEdp0hiAZCCM6fP4/33nsP7733HiorKzFx4kRce+21\nGDRokGYkQwdSTTEH0yvmJMqgpTnQE5mt9iU8W0Jr9OmsciIbYRqAtISqUXl5NYYPX2dY5vFwDZ2K\ncZZ99OgcbNsWyhKkpzvg9WajR490lJQEGt3WxIl9UVPjQWqqniug4OJFGRkZXmzaZD7PxcUMNm40\nN9LjxysoKbHeTs+eIo4eNT6q8+ezeP75+O4pvQwvJd7r72t956GXEIwnYCOE4JVXXsGmTZuwatWq\nViklSCKJywV0Yuq1117DJ598gokTJ2L27Nno3bu3YcZXLxgRre2lg2VCSKt4x0QyI6SfUUdbSZIM\nwU1T94sGH7IsN7mklCI8QxApGAgv4xGFUEAgi7IhIACgvafL1HIutS3VZwpsNlZzOqaZAo5jtGUq\nF9AoEKEPCB6/pXEpVX0/HkkpihLdYzEeVRQF8+fPx5QpU7TJ1STaJ761AUE4fD4fPvroI7z77rso\nKytDUVERpk+fjvHjx2sz6fQBizaIoqCNJm3E2rJGnyoJiaIYs428fuDY1IAo0nqjyYomCkOHrsXh\nw7WGZaNHZ5syBwMHpqOsTC3O5zgGhYXdsGdPEKmpHGw2Ly5ejKwP7XRy8HgG4OJF60coJycT585Z\nG5WVl5uXjxwpYccO833SoQNBba1oUrpasYLDzTc37/zpM0S0ZI5e36aoYBFC8OKLL2Lfvn147bXX\n2lTCNokkLnVIkoQNGzZg5cqVqK6uxs0334wZM2bA4/HENLCONjhvCcQzOLcqZ3E4HHH3hXrluUQc\nHw0KIgUDAZ9oKAMSgup7hmEgCpIhCNA7FQOhAIEGBJwWFKiDfpuNNWQKOE4NEPRBQHMDAj1oiTDl\nSNKMQTAYjElIhBCCpUuXoq6uDk8//XSSRNzOkQwILCDLMrZs2YL169ejpKQE+fn5mD59Or73ve8h\nLS3NchCln0mnrH2GYVrN7TcS9G6yHo+nyYEJbdzpzLJe/z/WddLORJKkFg+SHntsB37/+72GZSNH\nZmPHjnOm7/bsmYajR+swYUI+Nm0KaTyPHdsRW7ZE9p8YN647Nm9OtfysXz8nDh5MMS3v0AGoq2Oh\nKOZ7IitLQmWl+ZwMG6agtNRMPCsrs6NHj8TdWzQI5HkekqRuj6adYwkCCSF45plncOrUKfzpT39q\nU9WqJJK43HD27Fm88cYbWLduHQYMGIA5c+agqEglF9NBHQBD1iBRM+exgg7O42m/VTlORfM2iKek\niGa1EynC8Zs1tqjBAAUd5NOAAIDGHdD7FtAhFMuxWnYAUNWFXG4HJEn9DcexhoCAZgVolqCxgCDe\nYCAciqJomQGqINVYgPb+++9j9erVWLt2bbI9/xYgGRA0AkIIDh48iPXr1+PDDz+Ey+XC1KlTMX36\ndOTmqhKXdJAsiqL2G6rG0tbqPZQ0lMi6SzrrQI+blhbR4MBqO/rApDU6ry+/PI+JE98zLHO5ONjt\nQF2dcXA9fnxnADaUlJhVJoYOzcbu3dalQ716FeKrr6y3X1ycho0bzbPjI0cCO3aYG9auXeWISkXF\nxRI2bjRmKjp1Ao4eTTwfhZZy0UCWXmN9EGhFTFYUBb/61a/g9/vx4osvJvS+P3z4MAYNGoSbbroJ\nf/nLXxK23iSSuBShKAq2bt2KFStW4MCBA5gxYwZmzpyJrKwsk+kWVWZrjX6GDiabs714SopoW5To\nTPJjr1pnffXBAKAGBEIwtEwSZW2wTxSikYRZltEUh1g2NJhn2AZ/AVsoU0ADAZZjVUMyXQZBzUDI\n2m/p6XA38BASERD4fD7tfNOKIMc0jQAAIABJREFUh0gB2r59+/Dwww9jw4YNBtnWeJFsvy8ftEvZ\n0USCYRj0798fjz76KD777DOsXLkSHo8HjzzyCKZOnYpnnnkG5eXlcDqd+Pzzz7F//37YbDbIsqzJ\neyZK+jEe0O3bbLaEk7Do7IJe/18vdxkIBAzHnAhZ0XgxYkQ28vONM/TBoIzCwo6m74oiwf791tfn\n3Lk6pKSYH5PBg3MiBgMAcPy4dW2/w2F97N26RT4n1dXmfRs7NvHnUB8M0EG/0+nUZE0dDofGK6CS\ngx9//DECgQAWLFiglQslenBy7733YtSoUcl0dRLfCrAsi3HjxmHFihX48MMP0bFjR8ydOxdz5szB\np59+CrvdjjfffBO1tbVgGAb19fVaeWpLIR4X22igk0derxepqalgWRaBQEDzUKESrPEYZbUUeL9g\ncjCm72kwoMiKQXGIIlx5iP5GLzmqR9AvRvwsEBARCJgnq+JBuFwrHRdYSZh++umnOHXqFO677z78\n5S9/aVYwACTb78sJyYAgDjAMg86dO+Puu+/Ge++9hw0bNmDIkCFYtmwZBg8ejAceeADl5eVwOBxI\nTU3VGrNY/Q4SBVEUNTJoS0ucUsUa2rjQDoMeMzVRaYqzbXNxww09TMtqa40lQH36dMCBAwIGDrQ2\nFjt9OogBA8yDe5stJ+J2e/SwWZqIAcDx45Eco63XZbcTHD5sFRAk9tEVBEHrgK0I5+EmcB6PBxcu\nXMCvfvUrdO/eHZ988gn69euHs2fPJnS//va3vyEjIwOTJ09u9aA6iSTaGqmpqZg3bx4+/vhjPPnk\nkygpKcGIESPwhz/8AWfPnoXX6zWYhlEDykQ+K1SmOtGZCCp3mZKSArfbDUVRNINFn88Xs1FWvHhy\nrvkYwrMD4RCFkM4/9RZQ5FA/rsiKSQ2I1fV1Vn4EgBoIiGGBgFUw0RxQngnDMCa1t/AAze/349e/\n/jVGjhyJHj16oKampln3UrL9vryQDAiagZSUFFx77bXgOA4dOnTAsmXLcOjQIUyZMgV33nkn3n33\nXY3JH805OJGg0nUej6dNJE71bskejweyLINhGE0OrSWddMNhFRDs31+DvDxVDz8vz4vqajvq6hQc\nOlQTcfZ++/YqTJgQChh69kxHaWnk7eblWUtsdu0KnDhhvY2KCut19e1LEAyal48bl7hOg+d5rcOP\npQOmrti5ubkYMGAAHn74YSxYsAAfffQRBgwYgGPHjiVkv2pra7Fo0SIsXbo02Zkk8a0GwzDo168f\ncnNzQQjB448/jueeew4zZszAmjVrQAjRZnslSWq2YRVFS5Xt6KF3FPZ6vZBlWcsc0MxHSz7/fksP\ngnC9f+vty1Ko/5ZEGZIoQxQkiLwEQZAgy4ppwE8zCkGdEVq4bGkiIQgCZFlulM/IsiwyMzPRv39/\nLFiwAP369cMPfvADrF27tknbTbbflx/atQ9Ba+DChQtwOp3YtGkTvF4vbrrpJiiKgv3792P9+vX4\n0Y9+BK/Xi6lTp+Laa69Fp06dAJj9Dpor76kn7La0C3Is0Jef2O12rXY0msdDojFyZA7y81Nw/HjI\n6YsQlUTM8zI4LgXnz6uj7XPn+AajslrLdW3efA5jxuRg61Y/OnXKxdGjkbd79qx1IJaXJ+PkSXOn\nmp+v4PhxwO0m6NsXSEsDeF5BdTXQubOM8+dlOJ0MMjIYpKYyYFkGQ4Yk5nzxPA+e5+O+ZwRBwN13\n341x48bhwQcfBMMwuP322yGKYsKUhRYuXIg777wTubm5yXRzEt96KIqCQ4cO4ZNPPkF+fj7uuOMO\nnDlzBq+//jqmT5+OIUOGYM6cORg6dKjG86La/bRWP55nnJbtxKpM11woiqL59TidToO3AS1TTbQ/\nDg0GCCFaGxMeDAT9go5gLIDlOIi8nlsgwWaPPJQyuBQHRVVZyKLMSA8+KMHlDq3TKqsRC6i/RSwK\nTYQQLFu2DFlZWfjf//1fMAyDxYsXN7miIdl+X35IkopbGIQQnD59Gu+++y7ef/991NXVYfLkybj2\n2mtRUFCQML+D1iTsNrYvjcmKUtUJSkxWFMWgWpTI/X/88e1YunSfYVlBQQfIshNHjhin3rt2deOb\nbwikCE7yHMeguLgLSkryIUbIMPfoYUdFhXXNZVERg507jQ17WhrBuHEyzp0j2LcPEMImq4YNk1Ba\namyQJ09m8e67zdP210vRxlsKEAwGMXfuXEydOhXz589vkftt9+7dmD17NkpLS2G327F48WJ89dVX\nSVJaEklYQFEUlJSUYMWKFTh8+DB+8IMfYObMmcjIyIjZEVkPyhVqCZ8YKxBCUF9fr4lxhH9GTbci\n6eo3ZXuPvGgsH2UYBgEfb5YcbVAOEnlRKwtSFKKWCXGsYfbbZg/tkyLLcLgcBpdihmUaHIlZyKIM\nh8sOSZIbsq6s9h0K+vLZn8Sf7afXMFYPpA8++AArV67EunXrmu2ZlGy/L08kMwQtDIZhkJeXh3vu\nuQf33HMPamtr8cEHH+D555/HkSNHMGbMGEyfPh1jxoyBy+XSggOe5zUSUDS/A0rY5TjukpA4jSVL\nQUtOaLAQyS3ZSs0mHoiiiBkzcg0BQXq6A4Q4kJLiBGAMCE6eDGD8+E4oKamxXJ8sE0iSHWPGiCgp\nsVlKh3br5rIs/7HZCA4eZLXXgwcTcJyMPXuA8+dl7NplPk6OIygvN8/OfOc7zZsha478q9/vx5w5\nczBz5kzMmTOnxe63zz//HBUVFcjPzwcA1NfXQ5ZlHDhwAF9++WWLbDOJJC5XsCyL4uJiFBcXo6am\nBn//+98xe/ZsZGdnY86cOZg0aVKjjsgUbREM+Hw+jfAaDppNttlsWuajsWNoDDwfWU6aKMRUxx9O\nLlZ0pGL9dyVRVd2jgYMoSJAb/AisuAFCUIxYLtQcKgEdF7hcrpgG9wcOHMBzzz2HDRs2JMRANdl+\nX55IZgjaEKIoYuPGjVi/fj22bduGPn36YPr06bjqqqvg9Xob9TugDbfT6WzUzbKlkagsRaLckvWu\nzBMn/hO7d19AeroDOTkdcOiQD0VFmdi501welJPjRF0dh0DAPBDPynKgrq47eJ7BwIFOKIoHBw4Y\n96dnz0wcPWrex8JCGZJkQ1YWwcGDBJWV2hEjMxOoqjIfQ//+Mg4cMKeWP/nEgTFjmhYoNcf1s66u\nDrNnz8add96JmTNnNmn7sSIQCKCurg6Aus/PPfccKioq8PLLL6NjR7NSVBJJJGEEIQRlZWVYsWIF\nSkpKcPXVV2P27NnIz8+P6IhMZ+rjdSdvzj5Sz554RSf0EqyxujoDIfnUX75mDHaC/lB6NlxylGEY\nSGKITCzLMjiO0wIF/aCeBgRMw0QLqwsIaCBBPQvo72iGwCo7AMSXIdAHWOHZFitUVlbipptuwqpV\nq9C7d++YtxMNyfb78kS7yBBUVVVh3rx5+Oijj5CVlYWnnnoKt9xyS1vvVqOw2+248sorceWVV0JR\nFOzduxfr16/H8uXLkZqaimnTpmH69OnIzs4GAG2gTGc3CCGXRDCg9ztobpZC72mgd0sOBAIxlVNZ\nlSzdcktvnDrlQ1paCg4d8gEASksvIjfXi9OnjVmCc+d4FBd3wsaN5ixBv36dsWmTus2yMh4Mw2PY\nMLXe9euvWaSmOnDkSGifcnMV5OUp4DgRLpcN//mPOcjo0wc4fNj6XGRkmIMBjwcoKmq6BnhTXU2r\nq6tx66234sEHH8SMGTOatP144Ha74Xa7tfdUiSTZmSRxqeJS64cYhkFhYSGWLl0KQRDw7rvv4n/+\n538gCAJmzZqF73//+0hNTdV8AYIN6gW0Vr+lQdsjAE1SoKNZZkqkptKZ0cwUaf/p9XoBhAb8+mDA\nCqKgfpdhGJ30qAyWYaEQBYqotu12R+i8ibyoDvwbSoFEXgJnkQ2QRBl2R2KGYvScsixrmW0JhyAI\nmDdvHp566qmEBQNAsv2+XNEuMgS00V2xYgVKS0sxffp0bN68GQMGDGjjPWsaCCE4efIk3nnnHfzz\nn/+E3+/HVVddhenTp6NPnz5Yvnw5rrrqKuTn52sKDPHyDhIFWZbh9/tht9vhdDpbdNuNuSVHKoU5\ndy6AK6/8CF9/7Tesr7g4Bxs3mqfm3W4OmZlenDoV6iRycpyorc1HMBj5+CZO7ITycgcYBqiqItBn\npXv0sC4lmjCBYNMm6/UNHizhv/81BhGTJil46y0u7owJnYkDEHfQduHCBcyaNQu/+MUvcM0118T8\nuySS+DbhcuiHaN/y+uuv47333kNRURHmzJmDrl274s9//jPuuece7btNISLHA31bnah+Q5/5IIRo\nwQ3HcZAkCX6/31BT//ALQctgQAiqyxiW1QjEDMtAaXAXVoiiBQZWpUAso872sxyrlQ+xHAfOFgoQ\nWIaBJMmG9/p10dfP/D8m5rKoeM6poih48MEHMWrUKMyfP7/RdSfR/nHZBwQ+nw+ZmZkoKyvTItzb\nb78dubm5eOqpp9p47xKDmpoa/Otf/8L69euxfft22O12LFmyBNdcc41WOkRnSGRZbpR3kCjQBra1\n0st6WLklU1jVxd9yyya8++5Jw7L0dAcEAfD7zTP3aklRKIAYP747Skqiz7jk5nbF6dPm5fn5DI4f\nt/7tkCEEe/aYl7tcBISICC91XbyYxf33k7gI6M0JBs6dO4dZs2ZhyZIluPLKK2P+XRJJfJtwOfZD\niqLg888/x8svv4wtW7Zg5MiReOGFF5Cent4kInI8SITrcWPQE5EZhoGiKHC73Ya+6p6nzWWjQT+v\nDeIZloUQUFWGGFYtG2IZVuUK6FyL9SVDLBMiB1sFBJKoCwLod3TuxhT09W/vYTVn6mhKSzTLE6ti\n3PLly3Hs2DH83//9X1IFKAkA7cCH4NChQ7DZbIZ015AhQ1BWVtaGe5VYdOjQAdOmTUN1dTUKCgrw\n29/+Fl988QUmT56Me+65Bxs2bIAsy63qdyCKIvx+v6mBbS3o3ZJTUlRHYhrbUudOvVvyvHm9TOuo\nrhYwfHi65fp37qzCmDGqWlDXrm5s2xb9GAcNSrUMBgAgP986HezxEBw8aP2bfv2IKRgAgMmTVRWO\n1NRUpKSkgOM4CIKgmcCFX2taT8owTNzBwOnTp3HzzTfjt7/9bTIYSCKJKLgc+yHqiFxdXY3i4mJ8\n97vfxS233IJ58+ahpKQETqdT6094ntdc6JvblyTK9bgxUDNMysej3gbR/BmCfj7sfaikVGiQI6Xl\nQ4ocyhLIoqz9AdCCB/pdWVYgCqJBrjTcyEwPfWBA23u32w1ZljWXeH3/JklSXOZxH3/8MT799FM8\n//zzyWAgCQ2XPYegvr7eZK2dmpqqEVraC06cOIFBgwbh6aefhs1mw4wZM6AoCnbv3o3169fjxRdf\nREZGBqZNm4ZrrrkGWVlZAIy8g0T5HTQmK9qaoGoKlECll3HVKzUVF2eie3cvjh3zGX5/9GgdOA6w\n6uPKyqqQl+dBbm5nnDwZ/VylpKRG/KymxrqB7tcP2LUr0vrMnVVGBjB0qI501lAn6nQ6DWRseq1p\n9qgpLtHHjx/H7bffjhdffBGjRo2K+XdJJPFtxOXaD509exZ9+/bF0qVLYbPZcO+99+K///0vVqxY\ngUWLFmHq1KmYPXs28vLytHIcn88HlmW12ep42pWWcj2OBJoddTqdcLlc2jFQ7sLShxx4+PfmkiFF\nIYYBuxAUDMepDcQtPAho9oAO6kVeAmtjTS7F4RAECU6XNXcjmtKSzWaDKIoxOzsfPHgQTz31FP71\nr38lRFEoifaDy/5uSElJQW2tMe1XU1OD1NTIA7TLEYWFhXjuuecMy1iWxfDhwzF8+HAQQnDs2DG8\n8847uOuuuyCKIq6++mpMnz5dm7UKJ+jS4CAev4NLyfyMqiw5HA4Df0FPNtMrNd1ySx6efvqQYR2n\nTwcwdmwOtmwxcwnq6iQMHerG9u3RCXZeL4s9e6zPRWYmsH+/9bnVca5M+OYbcxnTpElsxFmlcDI2\nLediGEa75rH6PBw5cgR33nknXnnlFQwZMiTqd5NIIonLtx/Kz8/Hiy++qL1nGAZDhgzBCy+8AJ7n\n8fbbb+Ohhx4CANx6662YNm2agYgcLv0ZrW1pbaMzGgzQvgAITaI4HA6tLIoiPDvAN/AIFBJqiymH\nQJZkcDb1GKj6EGdrfJJNEmXYnazmacCwLCDKmtcBHxSjZg6AUHacHgPNAPM8r/Xrkfrmqqoq/OQn\nP8Hrr7+OjIyMqNtJ4tuHy75kqG/fvpAkCUeOHNGW7dmzB4WFhW24V60PhmHQo0cPPPjgg/jwww+x\nbt065Ofn48knn8TkyZOxaNEi7Ny5E3a7HampqdoMDc/zqK2thc/ngyAIEV0JaeNKS5PaOhigjscu\nl0vLDFiBzmR5vV7Mn98fLpd5v0+cqIPVRAnLAufOuTFsmAIgMtVm8OAM+P3Wn/XrZ7PMPgDA119b\nL8/JIThyxLy9yZNj60Rp4EZT/ikpKdosUnhpUXja/ODBg7jzzjvx+uuvJywYmD17Nrp06YK0tDT0\n7NkTTz75ZELWm0QSlwraYz/kdDpx880345///CdeeuklHD58GFOmTMGCBQtw+PBheDwepKamguM4\nBAIB1NfXIxgMWvYhVHzC7Xa3yqx0YwpGdMbd7XYj6OdNwQAlFYevUxIlyJLaoNP/FLIkQxIl7U/k\nRSiSor0Wecnyd/p9Cw8GXn60Q9RjDAaDsNlsmopPpJIiQC3Vmjt3Lp544gkUFBREXG80JNvy9o3L\nnlQMqOoODMPgz3/+M3bt2oVrr70WW7ZsQf/+/dt61y4J8DyP//znP1i/fj127tyJwsJCTJ8+HZMm\nTYLb7W7U70AvK9oUebhEg6Z8m2Kcc999O/Daa1+Zlo8Zk4mtW40zfOPHd0FJibr+CRPSI6oB9euX\nq5mOhWPYMCdKS83nq3dvAt3YwYBx4xRs3my2Sz540Ilu3aIHYnpvCivZOZo9oNebYRjs2bMHPM8j\nIyMDjzzyCFatWoU+ffpE3U48KCsrQ69eveByuVBeXo6JEydi5cqVmDp1asK2kUQSbY1vQz8kyzI+\n++wzrFixAqdPn8YPf/hD/PCHP0RaWlpEN+HW9jYA4lcwuuOX5w3vQypDjFb3z7KsYTCvNMz0sGHZ\nDn39P8dx2nv6Wk8oZlhW2z+GZeIKCCifI/wYaUkRneDbtWsXHA4H/vGPf2Dw4MG49957Gz0fkZBs\ny9s3LvsMAQC89NJLCAQCyMnJwezZs/Hyyy8nvBFetmwZRowYAZfLhTvuuCOh625pOJ1OTJkyBcuX\nL8fWrVtxzz33oLS0FNdffz1uvfVWrF69GnV1dfB4PEhLS4PT6dQGlnV1dairqwPLslFn4lsLNE3t\n8XiapJV93319YXUIR4/64HaHHoeOHR3Yuze0/k2bqjF+PAHDGOPnnj1dEYOBDh2Affusz1eXLpH3\nURTNM2z9+jExBwMulyuiBjUtLXK73UhNTYXH48Hp06excOFCXH311cjOzsbWrVtRGXJOazYGDhxo\nMMix2WzIyclJ2PqTSOJSQCL7oUu1v+E4DldddRVWr16Nt99+G4QQ/OhHP8L8+fOxbds2uFwupKWl\nGYjIdXV1WllRa4DneYii2GRPHKvsAABIoghCqEOxGgwQhUAWJciieQJHD47jNFKxKIiQRRkiL2nv\nQ1kEI/E44j4KAiRJsjxGWlKUkpKClJQUnDhxAnfeeSf+8Y9/oKamBidPnoyw1saRbMvbN9pFQJCR\nkYG3334b9fX1qKiowM0335zwbeTl5WHhwoWYO3duwtfdmmBZFiNHjsSSJUuwceNGPPfcc6ivr8fc\nuXNx3XXXYdmyZThx4gTcbjf27t2L/fv3w2azQZZlS/We1gJNj1JCWlPTzv36dcCUKbmm5efO8Rgx\nIqQ41KNHZ4SVBKOkpAZDh0rIygo1wDk5kWdwBgywQYzQtp87Z73c4SDYv98cEEyZEr1cSB8MxNrx\nUuJx165d4fF4sGXLFtx44414++23E65L/ZOf/ARerxcDBw7E448/juHDhyd0/Ukk0dZIZD90OfQ3\nmZmZeOCBB/DFF1/goYce+v/t3XtUlHX+wPH3DAMMMOAF8AJmmmKr1Vq2yZa63gsc3VXSTIEIrZN2\n2W2r89ttvWVpta7Vacu2zUWwi7plyoBSKqiEmmalppa3XK+paQQiA3N7nt8fNCPDDMptQODzOqdz\nZMaZ53nI+X7n832+n8+H1atXM3z4cF555RUKCwtRFIWsrCy0Wi02m41Lly65+gP4ijPZNjg4uE7b\nWqsGA87KQkClikJ2HA6HR7UlZ2Dg/E9xOLBZra5qQx5f3K+QK3ClwMBZUagm16jVaunSpQs33ngj\nmZmZHD9+vN7N8mQsb7laxJahxjRr1ixOnTpFenp6U59Kg1JVlcLCQtauXUtWVhbffvstZ8+eZe7c\nuaSmplbcLm2ifgfVNRyrqy++uMDQobkejwcEaImKMtCpUyjbt1ffcyA83I8ePQwcPOiHzRZVbf7A\nrbcGsnu356AfFaW6lSgNCFAJCwM/P+jeXeHrr+1Yre6v+/TTAAYN8h4UOBOI67KFKj8/n/nz57Nq\n1Sq3lR5VVRv8bpCqquTn5zN+/HhycnKkepEQV9Hc5huz2czq1atZunQpx48fp0+fPqSlpbm6CTtX\ntmuaiFwb3hqP1Ubi/512+9labkHzS4Mxu8XmqhxUtTlZ5QRpb30EtH5+aH/ZGuTsV6DVaN0CCo1W\nQ6DecyEn7bkIt5+dCz81HesPHz7MI488wtq1a11dghtibJexvGVq9lWGGltLjZ80Gg3h4eE88MAD\nFBYWsm3bNubOncvevXsZNmwYffv2xWg0MnjwYAwGg1veQVlZmSvv4EoVDurCmRymKAoGg6FBJo/+\n/SO4++7OrF9/xu1xq1UhKiqQffuu3IDsp58c/PRTMUOGdMRqtXD8uD+nT7tfc2Skhm++uXyuYWEq\n0dEqbdsqtG8PUVHw888q58+rXLwIzh06PXsqWK122raF6Ggt7dpVTCR33un9d1qfYGD9+vW8+uqr\nmEwmj5byvtgaptFoGDJkCBMmTGD58uUyiQhxFc1tvgkODub+++8nOzsbjUZDnz59iIuLY8CAASQn\nJ3PjjTe69rg7k34boiOyL5OWreUWV7Mxb6v2lb/Y67Tux3bmF9httorgwvFLkKC93LHYyZl07PTu\nS53cfq5cQrUmY31RURHTpk0jPT3dbXxviLFdxvKWSQKCWmrqPfS+VlxczKeffsrnn3/O9ddfD1TU\n+t+5cyeZmZksWLCAzp07M2rUKOLi4mjbtmKbTUP3OwD3ploN2d4eYNasWzwCAr1ey4ULgfz614Fs\n2eKlK1glOp2GAweCOHvWCliJiIDOnbUEBVXUm27fPpCzZ62Ulqr8+KNKYSGuLUi9e/vx3XeeE71G\no3LwYMXkUlQERUUKoDBpkj86nee1OyfVuqyIZWdn884775CVleX6f9hYbDabRwAihPDUHOeb//3v\nf1itVkwmE3q9nrlz57JhwwZefvllzp8/z3333UdCQgIGg8GViFxSUuKWiFyb63b2otHr9XXKK3P6\nYEG06y6Btbxi/FcrlRx1bhlS7A60Oj+UXxKMtbrLdwgqdzDGAX6K6rE1qGrgc6WtQ65j/xIM6HS6\navPDKrPZbEydOpXZs2f7NKldxvKWRQKCWmpuKza11aZNGz799FO3x7RaLbGxscTGxqKqKkeOHMFk\nMvHAAw+g1Wq55557MBqNdO3aFcBV37mu/Q7Ae8OxhtSvX3vGjbuO1atPuh679dZotm+3cOxYITEx\nbTl8uPrkrt/8pgPbt1/+t3DhAly4UPEFHqB7d3+vZUWjozVegwGAm2/WsHev53O//73nx9TZpr62\nwYCqqqxcuZJly5aRmZnp8zrp58+fJy8vjzFjxqDX68nNzeWjjz4iN9dzy5YQwl1znG969uzJqlW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i0jPz+fpUuXNmhumIzrwkkCAgHAwYMHGT58OFlZWfTr16+pT6fBXbx4kRdffJF//vOfDBky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\nSUVORK5CYII=\n" } ], "prompt_number": 52 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wire-frame plot" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1, 1, 1, projection='3d')\n", "\n", "p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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xapVC06YGAwbYw+uUGRkZCUW7MtOilvestVGyx+OJegK3xhObxqoO9nPVhaef\ndnD4sIRhmLuSbNqkRJmrL1lio0eP+IuG1v2wZImTXr103G43V15p49prQzz4YA6GUZx9iHXKef11\nOzfdFOSmm1Tef9+GL4EfwoABZvGPxQUX6Lhc8OWXx9d0VxXGBYkqdGMzA0C5iouEYAriYqU70+X5\nChUTDl3XWbIkQK1aGk2amClPp9OZcDyGAc88o/DQQxr336+xa5fM4sWJx/7Xv5pRpq5Hj/PmmzV+\n/FFizhyZgwehZUuDBg10hgzxsXevxMyZGWRnZ4dtxCoba2yGYeD1esnPz8dms8Xt6bRS5TabLUpE\nS7OfO5lE9MsvZXbvVnA6DTIyzHaPFi00Tj/d/Py//y7x3XcyrVsnWLT+g88+s3HVVaaoSpLE2LFB\nvv1WYf58c6KO9c/NzdWYP9/GgAF51K3rpUWLEHPmSHG/+yuvDLFyZXFaVpKgb1+1TGnZk5nYzIDL\nZW7ZVh77v7KmZDt27BjeRCErK4sLL7ww4bGTJk2iXr165OTkcPPNNxMMliwESzdCMNNA5CbOkL7K\n1/IIZqTX6qxZToYMMS/04rXG+OdctUoiGIQePcyn8WefDfHAA4mrC9u0MahZEz75JPoSOuUUGDpU\n55xzDEaOtLF2bZBRo/KZOdPJoEEaDz/sRlWrLtq2Iv7c3Fx0XScnJyfq+yiNRGtBJ6uIPv64E4cD\n8vPN3ssPPrAzeHBxdLlsmcIVV4RI9jz0228SP/0kc9llxaLqcsGrr/oZOzaD3Fzzt4ksZlm0KIv2\n7TXOOcectEeM8DNtmiPud5+To3HJJRpLlxYLZO/eIRYsSE0wq4slXXUZByTeni7RpgCvvfYa9957\nLwcOHODnn38mYDlOpPA+kydPpqCggIKCAnbv3h33uMWLF/PPf/6TZcuWsW/fPvbu3cv48ePT+ZHj\nIgSzAlhCmZeXh9frTbvhQFkEM3JtUFVVnM4sFi508MILNh55ROHgweSvf+EFhb/8RQuvQ115pc6p\np8LMmfEvEUmCu+4yK2Zjx3nLLSF++QU2bJC4+WYPL7yQTX6+zKBBOoEApfZmpisla/l3hkIhsrKy\nyMzMTMta6ckqor//LrFihYLDoSPLMGiQytq1SlQf5eef2+jSJXl0uXSpjc6do7fyAmjRQufKK4P8\n+9+eEq+ZPt3OjTeq4e++Vy+JvXttHDiQGbci9Mori5g3Twp/982bqxQUmAVwgrKRTLgTVehedtll\nnHXWWfy9HrciAAAgAElEQVT44488+uij1KxZkxYtWnDvvfem9H6lMW3aNG655RYuvPBCatSowbhx\n43j77bfL+tHKjBDMchBZ+Wpt4gzHrlAgsofRWhtcs8ZOs2YGS5aoeL0SrVo5+Oyz+Bsq79sHGzbI\nXHddcWWsJMH48aZRQaI1/379dH74QWLnzuKZLxQK0bBhPmedpdGggcGECTq33qpz6JDEww/buOUW\njeees5GfXylfBWA+yBQWFlJQUBB+Ik7Ve7a8Yl2aiFbHLbnKyt//7sTjMbfTatJEZ/lyO127Frcf\n6boZYXbunLzpcfFiJeEa54MPepk1yxklbN9+K/HzzxKdOxcLsd1umhLMmmWP+9336yezbJmTQMAU\nUVUN0LmznwULjFLbKqrL71GdIsyyIEkSzZs35+6776ZGjRps3ryZQ4cOMWXKFDp27Fjq6x966CHq\n1KlDu3btWLlyZdxjvv76a5o3bx7+72bNmnHgwAGOHj2aro8RFyGYZSBZ5Wtl3GSlnVfTtLAwOJ3O\nqLXBefMUrrlG54ILDCZNCjFtmsrdd9t49llniXNOm6YwZIiGJ+bBvn17g0aNDKZPj3+Z2O1w000a\n06e7o8bicDi49VZwOCRefVVhxAidjRuDfP+9FC4WGTcucV9ceb/PyFYVWZapUaPGMTVpj5zI4/XH\nRYqoVZFomVtUl0nbIhCAjz6y/bFWb27jNXu2LSodu2OHadLfsGHisasqrFqVOAo99VSdO+7wMW5c\n8bYk779vZ/DgkhHp0KEqM2fGt1887TS46CKNtWvd4WKWPn3giy9cKbVVHI9CVVlU5Pvw+Xx4PB48\nHg+XXXYZV199ddLj//nPf/LDDz/w66+/cuutt9KnTx/27t1b4rjCwkJycnLC/22tkxbENoinGSGY\nKVBa5WtVC6au6+ECFkVRqFGjRlRBTygEH38sc801xZNShw4GK1YEef99G88/7w7//1AI3n5b4aab\n4vddjh8f4umno+3GIhk+PMRHHzk5cMAbFimXy8XAgTo//STxzTcSu3dLNGoEt9yisW6dzDnnGLz5\npkK6HgYTtaqk2utalSQSUWsdCEjrXoplIdnE+OSTDiQJzj7bQJbhkks09uyR6dq1+BpbtsxGly7J\no8tNmxTOOUenTp3En+W22/xs2aKwfbuMrsOsWXaGDi2Z5rj4Yh2n02DjxvjTWJ8+oaj2ko4dNb78\n0obPl7ytwkrjH+vdQ6qLcFdkHGXdFqxVq1bh+2H48OG0bduWTz75pMRxmZmZ5EekqSwTlsq24ROC\nmYRUK1+rSjAjC3qSFbCsWyfRoIFRYpPoevVg0SI/773nZMoU86dfulSmfn2DJk3ij79VK9NubPbs\n6EvF8hXNyMijTZsgixblhEVq3z54+WWFWrUMVBWGDTPN3W+6yVzDtNvNlpd//avi7itWZBu59dfx\nZqlniaglmrEiGhuJVnU61zBg6lRTMI8cgQYNDNavN9cuHY7i41asKD0d+/nnSqmi6nabvrHPPONg\n40aFrCyDiy4q+UAnSTB0aIj3349fYXTllaaJgbVbSUYGtG6t8cUXtohzlGyrsNvtKIoStzfREtFj\nvXvI8UBlfj9NmjRh27Zt4f/evn07devWpWbNmpX2niAEMyFlqXytbDu1yAgqGAyWWsCyaJFM797x\nI8Z69QxmzszlySdtbNwo8d57Mtdfn7xI4777Qjz3XPG2TNaaqd/vJyMjgxtvDPD22w6OHIG//MVG\nmzYO9u2TuOEGHUmCffskZs2S6d3bTk6OwfDhGg4HTJ6sxN0CLJXvMzLKttvt4TaR8pyrOlJaJFqV\nIvrhhzYKC+Gaa1QKCmQGDlSZO9dO//7FwufzwZYtCm3bJr+WvvjCFhWVJmLkSJUNGxRee82edK9M\ny3A93jp7o0YGOTkG//lP8X3SvXt01BmPyLaKRCb0kbuHnOgiWtFIN9XX5uXlsXjx4vCS14wZM1i9\nejVXXnlliWOHDx/O1KlT2b17N0ePHuWJJ55g5MiR5R5jqgjBjCHS8zXSyi4ZlRlhWo32qW6ebBiw\ncKGSUDAlSaJhQ52XXw4xbJidxYtlBgxIvmFg167mZ1uyhLhrpp06hTh4UKJlSzMK2bUryIsvhvj7\n300TgwsuMLj2Wp2lS1UcDnj8cRvPP68SDMKTT5YtGoyMsg3DqNDWX9WN0q6jeCKaqKw/nbtXPP64\nA1mGnByw2QyaNtX45ReJ9u2LhW/DBoUmTfS4/sMWBw9K/PCDzKWXli6YHg+MHh3k449tDBiQ2Gmm\nQQMzA7JiRfzr6KqrND77zLxfDhyQmDXLzqJFSkJv40RERqKxu4fEE9F4/rllpbqkZMtLWcevqipj\nx47l1FNPpU6dOkyePJmPPvqIc889l59++omsrCx++WNn+h49ejBmzBg6derEWWedRaNGjXj88ccr\n66OEEYL5B/EqX1Ptp6wMwbRSQaFQqEybJ3/zjYSqQrNm8cdjjbVPH3N/QY/H7J1MjsGdd/p49lnC\n65SRa6ZffaWQlydx3nkGL74YIjIrcv31OhkZBtOmKVxwgcH69Sq6Do8/bg87Avn9cd4xzvcZaWeX\nlZUltv4ifll/pIjGazAvi4h+/70pcgMHqixYYEOWYc8ehWuuKS7C8Xrh1VftKIrBXXc5efRRJ3Pm\n2Pj99+hrdcUKhbZtk/doRk6yjRvrhEJQWoa9f3+VDz+Mf9KePUN88omNn3+W6NHDQ5cuIRo0MML7\ncZY2hmTENvgn24LrWO1jmQ7KK9x+vz9sepAKtWvXZtOmTeTn53P06FHWrVtHly5dADjzzDMpKCig\nfv364ePvvfde9u/fT15eHlOnTq0SM5STe7YhPZ6v1nnSNR6v1xuu9FQUpUwR1GefyVx5pU4qh2ua\n6QW6YEH8y8Bap8zLy+Pqq/18952d777LiBrLvn0wdGg2TzzhY+dOqYT4XXutxvbtMrt2SfzwAzid\ncOutGo0b6wSDEroOo0dHR8yxn9Vap7Ts/UqLsuN9jlQ5XlO4kaRTRB980IkkEU6LXnWVxrx5Nvr3\nD5GXB2PGOLnwwkzWrLFx9tk6zZvr5OQYzJtn49JLMxgzxslvv5m/5/LlNjp1Sj20W7LExmWXabz+\neslUeyTXXGOmWeMVprVqZUbDvXt7uPnmII88EqRbN43PP6+c6ulk/rl2uz1KREuzmqsuEWZ574f8\n/PwTyhYPTmLBTKfnazouaivVaDnSZGdnJ7WyS8TixTI9eiROAVmCcPgwbN4s8eqrIe6/v2RfpBXN\nWeuUp5ySyS236Lz2WvHjvs8HgwfbufNOPzfdpNKsmcGiRdGXVN260KaNzsUX60yfbr52+HCdXbtk\n7r5bQ1FMc4R9++J/Jz6fj/z8fGRZLtXeL9HnFaQmopYbizWJFxWF+PxzG5deahbKZGYaNGmiceSI\nREEBtG6dQSAAixcXoevw3HMBbr5Z5YEHgrz3np9Nm4pQFGjXzsPSpQrLlyspC6amwYIFNh59NMC7\n70bvPhLL6acbXHCBFrUPpoUkmS5C9evr/PWvZmq3W7dQlAtQZZPIJac0q7nq1GJUnvuosLDwhNo8\nGk5CwbQqX9O5iXOkX2l5iE01ZmZmoiglHXRKo7AQtmyR6NixdMH86COZbt10unc36NJFZ/x4cwKx\nornCwkJcLldUb+fIkRpz5shhcR03TuHccw3uuMO8uYcN00oYsoOZls3Lk5gxw/SevfBCgwYNDBo3\nNvfMBBg1KjqdoqpqudpEykN1mJCOBbEi6nab7UaWiE6daq71TZx4lLlzFX77TebAAYOzz9a55x4X\nU6b4ef75AHv3muuSTmf0+evWNZg4McD06X5uu81FQYHEn/6U2nre+vUKp51m0K6dTtu2WsJKWIt+\n/ULMnVvymOeec5CVZRCZGbz8co3du2WOHIl/rqq4HlKxmgPCFbrHojraoryRbkFBgRDM45nIyler\nPyhdnq/lwao2tXbOiE01llUwV6yQadnSIDOz9GM//FCmXz9z8nrqqRAffCCzbZs/HM3FrlOC2ZbS\npYvOe+/JrFolMW+ewosvhsLp32uu0Vm/XubAgej36tlT57vvJDweg1WrzIOHD9d45x2ZDz4wH1rW\nrZNYsUIKb68VDAaT7mgiqBwiC4smTcqkVi2DwkI32dlw0UUh3n3XyY8/wocfHqJVq0ICgQArV8q0\nb5+4QrRtW4077ghiGPDyy8mFzzrHxx/bwpZ7o0erTJkS36DA4uqrzRaSyGrZr7+WefFFO9Om+diw\noXit3OWCNm00VqxIHGUeq8xE5EMMEG76j1fYFekYVR23ohMp2eMUSyjz880d4NPt+QplEzdd1ykq\nKqKgoCCqJaKi/Z1Ll5pRY2njzM+X2LDBTN0ahkFmZoDbby9kwgRXqdHcrbdqTJmicPfdNv797xCn\nnFI8zsxM6NNHZ+bMaIFzu6F3b50//cng3XfNvw0apPP55/If62NmcceoUQpHjxYgyzIulysti/gn\nwprkseCbb0xXpvvvDzBvnoPTTjNQFIncXIkVK3ycf74z/PusXKnQqlVR0jW57dsVHn44wMsvO5gx\no7R0qMSiRTZ69zYFs21b0+N43brED0716hk0aqSzZo15jK7DX/7iYty4IBddZHDhhTpr1xa/vmvX\nqk3LlpXIazaRX2usf25liWhFIsxIN54TgRNeMC3jAavytbIW0lOZmCOt2yRJSntLxBdfSHTpUnrK\na9kyJ+3a6bhcxeuUd98ts22bg82bk08iHTqY65+ZmdC3b8n3GjZM4/33S15WgwebxRfz5sk88ojC\n//4n0a2bzty5Mvfc48XhMNi/X+ajj07BZrNV6RO+ENSS/O1vTmQZbrzR3Hx5716ZbdtkBg9WOe20\n4km8qMjJzz/baN3aHndNzqwQ9bFqlUKfPn7mzi1i7FgnW7cmnnq+/lpBkqBJE/P6kiS48UaVadOS\nP0D17h3i44/N6/e992xIEowYYYac3btHC2TXriGWLVPiRq3VpdgGEke6ibyLraxQrIiW5p9bGRQW\nFpKZSrrrOOKEF0xZlqP+qayLJZlgRlabapoWjuJKa4koS3S0bx/k5Uk0bVr68Z995qJ7d2+46jQ7\nO5usLBtjx4Z45JHkO9Pn5oLXK1G3rhFOxUaOs317g/37Jf773+gbvVMng19+kWjc2GDXLolevewc\nOGDw1lsG553np1EjMyp49FE7Ke4EVGFUVaWwsDA8sVsPVtWl0KKqsYRC02D1ahuXX66xcaNC7doG\nBw5I1KtncMMN0SYC69aZlawOR8k1OY/Hg9vt5ptvXNSqpVOnTpAGDYqYODGPESNcHDwYv09x0SI7\nPXsWp/oBhgwJ8emntqR2in36qHz8sY28PPjHP5z8619+rFvMLPQpjjDPOcfA4YBvvqmeU2B5RNvq\nFY0noon8c1MR0fI+QOTn54sI83gjMv1amem5ROe2CnpMG7mMcEFPWUhlzMuXy3TqpJNMgw3DIDfX\ny4oVTq68MlSi6vT663UOHoSVKxPfHJMmKfTpo7N6tRx3xxFFgQEDtBJWena7ubvJWWeZ5t3r1x+m\nWbMAX35pZ+7cHO66yzR/LyiAyZPdafud4v0u1m4mhYWF4cndSm9ZRWHpbv4/nrDWC8eODTB3ro39\n+yUuuECnqEgqsTH06tUK7drFr3y1ClvWrnVwxRV6WEQHDZLp1k3lvvsyS/Qp6rrO4sU2rroqukek\nVi2Drl1DzJ6dOMr8058MsrIMxo1z0r69xiWXFAtx8+Y6ubkSP/5ozQXQqVMobmXtiUSsiMb655Zm\nQg8VS8mKNczjkKoQzFgsh57I3sGyrsmV5SJdsEBmwwaJF18saWpuRbi5ubmsXy9zzjkhzjyzZHuG\nosADD2g8/XT8tOzhw/D66wr/+EeITp105syRw+OM/F4HD9aZNUsuEakOHhxi1y6DzZsl/H47zz5r\niu+YMXaOHDEjm1NPNXj2WVfSNoLyEm83E0sorfSW3W7HZrPF7Vu01ugq6uBS3Xn+eQcuF7RsqTNn\njh27Hfbtk7n8cq2EicDatQrt2iX3hl21ykaHDqaoWiI6caLK11/bWLYsK6rF4sABib17FZo1KyjR\n7H/DDQGmTUte/NO1q+kt+/DD0WkKWYauXaP7Lzt1ivaVtagOKdnKHEM8/9x4JvSWaxFQrnRuYWGh\nEMzjmaqIMK2Cnvz8fGw2W7l6B+OdNxmGAVu2yDz2WIitWyX+/GcHCxeaP21khJuVlcWKFRl06xZM\neM4hQ3T27pXYuLHkeF9+WaFfP50zzzR7Ka2+ylhatTJQVYlt26Q/xmcKduPGueTlSbRvb7BwoWmA\ncNddGnXrmluInXeewdGjppnBxImpO4SkQlnbVGILLaz0YmzzeeykfrxHod9+q7B/v8TgwSovv2wn\nGIQjRyROOUXn5pujLeqOHoUffpBp0SLxg0MoZNrmxUahLhdMmhTggQecFBUVp3OXL3fRuXOIGjVK\nNvu3bFlAbi5s3aomfGgpLJRwOs1t6WLp0sVct7S44ooQ69crCXfiOZlIJqJQfA+XxT9XtJUcp1RV\nhGmtUwIJdxIpK6mMec8eCbcbrrvO4O23Q7zzjsqDDyqMHq2Tnx/tjvPpp2Y6LNE57XbTbD12J5GC\nAnj1VYX77zejie7ddfbtk9izRyoxRkkyi3xmz5ajjNqzsjLo39+gRg3CKds2bQyCQYlnnw3x668S\nsgwtW4Z4/XVnWtYydV0Pp1g9Hk+5UuLmZ0rcfB5pgxY7oVTHcv9kTJyYgSzDqFEqEyc6sdnMqN/n\nk0oYq2/cqNCypZbU6m7HDpl69eJv59Whg0a7dhoTJxY3cC5d6qR7dzXu952VlcG116rMneuJ+9By\n5EiQRYtsKArs3VvyvuvUSWP16uLWk1NOgT/9SWfTphM7LVteLBEFoqz/EpnQWw+OP/zwAwcPHixX\nSvbbb7/F5XJxww03xP3722+/jaIoZGVlhf9ZtWpVhT9rqpwUgmlRGYJpPXlZDcXZ2dlp9ThNZcwr\nV0pccYUeHs+f/1zEZ58d5LvvbNx3X21k2Yxwf/wRcnMlmjVLnkIbMUJn61aZr74qnnTefVemfXud\nRo3M/7bZ4LrrzF7KeAwcGGL2bIm8vGij9n79dLZvl/jpJ4nvvzdTZQMHaqxeLbNkiYrfD7t3y9hs\nyTeZLg0r/er1egFS9uItC8ls0KwJJd5TeXUV0aIiWLLERe3aBq+/bsfng0GDVBo21OnZs+QGzmvX\n2mjTJrlzz5o1SpRJeyxPPhlgxgwb330nEQzC6tUOunaNf31KksTQoRpz5zqw2Uo65rz9tov27YN0\n7+5nwQK9RPq8Th2Ds87Soyp0461jnugp2YqMI5kJvfXgOGPGDFq0aMHSpUu56667eOKJJ1i0aBG/\n/fZbqe9355130qpVq6SfvW3bthQUFIT/6dChQ1o+ayqcVIJpka7JKtI+zuFw4HA4jkmT/YoVMldc\noUVZ651xRjYLFujk5cHIkeaegEuXynTtqqMoyUXY7YbbbtN46aXinrbJkxXuvDN64hs2zOy5NIzi\n81lCVb9+LhkZ8N130QYIl19ucPCgRNeuOrNmmecfMMBcDz3/fIPrr9fIzZXp0SPIlCll31XCeuq1\n0q/Ww0uyG7AyRTT2qTxyfehYlfsnYs4cB7oOXbqoTJ9up0EDncOHZY4elbj66pIitnZt6dt5rV5t\nS1gUBFCnjsFf/6ryxBNO1q9XaNRIo3btxN/DeefpnH568e4k1vcNNt54w82992r07g3LlsU3QO/Q\nwc/SpVI4ldipk8ayZZXfj3n4sMQvv5j/hJI/r1YrUhHu2Gv+0UcfZd++fTRp0oTrr7+eoqIinn/+\neUaNGpX0PDNnzqRmzZp06dKl1KrdY8VJIZiRKVmo+BceW9CTnZ0djijSTWkRpmHAqlUyLVpEW+vJ\nsozbDbNmhfj5Z4mnn1bCgmm+LvlYb7lF48MPZQ4dgs8/l8jMhLZto1/TuLFBrVpGuFk8UqhycrIZ\nMMBg/vzoyUhRTEcgj8cIFwb9+c8Gui6xfbvEo4+ahSWrV9uRZRg/PvUHkMjNpC2XoLJG+pWRhSit\nyMKqVLSi4WMloi+9ZKZGlyyxU7euwY03hli7VuH3380HskgKC81MwCWXJBZDTTPXL0sT1dGjg2zY\noPDuuzY6dw6UOkFfe63KrFnReeCPPrLRsKFOixY6nTtrbNliw+crGfl37qyxfLk9nD5v0iSfPXsk\nDh5U074GnZ8P//63gyuu8HDBBRk0bZpB48YZnH56Jr17u6PWU2OpLhFmeVEUBVVVGTp0KE8//TRL\nlizh448/Tnh8fn4+48ePZ9KkSUl/A0mS+PLLL6lTpw7nn38+EyZMQCvrU3UFOCkEM5KKTIjJCnoq\na3002Xk1TWPrVi+ZmRrnnuuMu4uH0wkzZ6pMnVosmKnciHXqmMYEU6cqvPGGwq23asR72dChZqQY\nCoWi9uxUFLNAaN68ks3h/ftrbN4s4/dL7NwpIUlmWnbOHJkzz4Q//9k0+G7eXGfKlPjN5ZFYO7xE\n/i5WRXJ1dfqJJ6Iejwcg3DMXz72lstpbduyQ+eUXGY9Hp6DALLxq1EgjK8ugR49QCZ/YzZsVmjbV\n+MN+Ni67dsnUratz6qnJx+vxwIMPBlm40E6XLqUvXA8caPZk/vF8AcArrzi44w5zcTIzE1q3jo4c\nrSioXTuJb76x4febIlqzppuWLTXWrrWFRdRKpVekkOuTTxQuuyyDzZtljhyR6NhRY+lSL7m5hfz4\nYyE33qhy110uHnzQSXUutq6ocKf62rFjx3LLLbdw+umnJ31Nhw4d+Oqrrzh48CBz587l/fff55ln\nnin3+MrKSSeY5TEvsHYSSXdBTyok6iO0BGLDBicdOkhJ1+fq1YNHHgkRDILfn7qI/OUvGq+8orBq\nlcygQSXval3X6dOnkAULbAQCUnid0KJpUwO73eA//4keV9u2Br/+KtGtm8YHH5iX4MCBOnPmmOI4\ncqRKjRoGO3fK+P3wyiulbz+m63qV/i6VgTXuZO4tsTtapEtE33zTTigERUUyN9ygUqeOwd69CooC\nffuWzCFu2KCUun6ZSsrWonPnEH6/uQNOadSpY3DJJRqLF5uCuGOHzP/+J3HVVcXjvPJKU1RjcTpN\nMV21yhYW0U6ddNaudYUjUSBuIVdp1dArVyr06uWmdu1Mhg514/OZ67x33hlk9mwfLVsW90lnZhoM\nGaLyySc2rr/eVeKh8HiPMMsy/m3btvHFF19wzz33hF+biLPPPpuGDRsCcNFFFzFu3DjmzJlT8QGn\nyEkhmLGL1qlOLpHrYaqqJi3oqYpIJlK4DcMgJyeHTZucdOhQ+iPqr79KtG5tMHp08j62SJo1M3C5\nDC6+2CCyOjxSqE47TaNZM50vvihp8SdJ0L+/zocfRn9fimJ6y3o8MHu2KZLNmhnYbAZbt0r06aPi\n85nOMjk58NRTJSe+yOpbyxCivIVW1TECtUjk3hLPjLu8RgtFRTB7timYtWvrOJ2mSC5bpnDokESX\nLiUFc9269ArmqlUKF1+sM3lyalZq/fuHmDfPvC6mTrVz441qVFFS9+4hPv9ciRu9deoUYuXK6PYS\n67+tazjVamizrzdInz4urrnGzZYtMqecYnDffQGCQXO/2a+/llFV+P13idtvd/GnP2XywgsOAgGJ\nbt1CfP21wpQplb/5cXmoighz5cqV/Pjjj5x55pnUq1ePZ599lrlz59KyZcuUx1hVnBSCGUsqX7A1\nIft8vpR2zajslGzsFmAZGRlIksyaNTLt2qXiHyszZkyI3FyYPt2Z0lgNA/x+idzc4v8X29eZmZnJ\nkCEa8+bF75tMlJa9+mozLet0GmzaZKVldebNk8nOlujePcAvv0jUr2961378sXnjRRrXOxyOqO3H\nykNlGPFXNpFGC8k2iE7VaGH+fBuKYv5Azz2Xz8KFNq66KsTmzQpXXBHij6ArjKrC1q0Kl16aWAwN\nwxTVVAXziy9sjBgRZM8eG9u3lz4t9e6tsny5jd9+gw8/tIc9Yy3OOsugZk2DbdtKnqtjR43ly4vV\n9eKLdfbvl9m/P/49nKwa+uBBOy1a1GTzZoVLLgnSurXK+vWH2blTZvjwADt3FnLwoMQVV3ho1cpD\nnToGu3YV8sknPp54IsCzzwaYP9/LM8842LmzeKzVJcIs7zh0PbWlH4Bbb72VvXv3sn37drZt28bt\nt99Or169WLx4cYljP/30Uw78sR3Snj17mDBhAtdcc02Zx1deTjrBLE3YrMKRgoLodoiKnre8WFFl\nvC3A9u0zJ6azz05+jsJC2L7dNAx4440QEya4+d//Sn/vTZsksrLM9Onu3UbUPpmR47jmGp3Vqx1x\nrfIuvthA12HHjuibp2NHg927Ja680jRgt87z4YemuA4ZEiAz09xOTFFgzBhbiT7XVIzrq+saZrqp\niNHCtGl28vIkatXSqVXLzCp4vRIul8GAASWjyx07ZBo21KlZM/F4vvlGJisLzjij9O9e02D5chvd\nu2vcdlsRkyaVblpxyilmavWpp5y0aRPitNNKvk/37hpLlpTMTjRurJOfDz/9ZF475ibX0VFnKtfV\noUMKbdrUoEYNgzvuUJEkhZkz/Xz4oYf9+2UefDAPKOK004Ls2yfRvr3K+PFF1KgRPdazzjIYPz7I\nXXe5ylwVXl0pKChI2Xjd7XZz6qmncuqpp1K3bl0yMzNxu93UqlWLn376iaysLH755RcAli1bRvPm\nzcnMzKRXr14MGDCAhx9+uDI/ShQnhWCmkpKNXBdUFCXufpClvUc6J2YrkgoGg8iyHLePcO1amTZt\n9LjFOJGsWSNzySUGHo+5efOIEUH+8Y8k1Rp/8O67Ctdfr3HddQGmTNES7pNZowZcfnkw7C4UiSSZ\n0eSCBdF/czpN84PsbIO5c83UWfPmBoYBO3fKdOyoEgrBkiUyvXpp7N0r8eWXaji6Tlef64lKqkYL\nO5ezCQYAACAASURBVHb42bHD/C6fe66QRYuc9OkT4osvFLxeie7dowXzyBF45RU7Dgc89JCTiRMd\nfPZZSTvGdesULr88tdn/yy/N4qAzzjC4/novq1crfP996ffdgAEqH31kY/hwNe7fTcP1koIpy2aU\nGZ2W1Vi5MvX2kgMHJFq39pCTYzBuXJCZM+28+66fggKFJ5908/rrATIyPNx7b22+/trJmjV5fPWV\nwuzZUly3nBtuCGK3G7z/vjmG4z3CrIgt3vjx45k+fToAZ555JgUFBdSvXx+AZ555hv3791NYWMj3\n33/PY489VqWtfCfdrBMrbJHrghUpHEmXYMYWGLlcroTbXa1bJ9OmTenvuXKlRMeOxem4++8PsGqV\nnQ0bEn/GYNBg7lyJnj1zGTbMy9y5HmQ5vp2cJEn07esLe8vG0revzkcflfxbnz46mzfL5OSY7yVJ\n0K+fxoIFdhTFYPBgjR9+gFGjcpFleOihGiWqgNPNiRyRxkstzp6dg98vYbdDt24BFi1y0r17PgsX\nylxwQYiMDNNoYdcuiWuvddO0aSarVtmoX1/n9NN1gkGzQrV580z+9jcn+/aZ10cqa5wWK1bY6NzZ\nPNbjMRg+XGXKFEcprzJ7MvPyShrCW7Rpo/HNNzKHD5e8Zjt2DEVtIH3FFRqrVyspCYTPB1dd5cbn\nk3jrLR/33edk+nQfdesajB/vZNiwEBdcoHP//U5ycyXmz/dxzjk2XnstwLhx2Xi9mVHmFsFgEK+3\niEceyWPCBAd5eaZ15fF8HZ6ItnhwkghmbIQJ0QU9sf2L5X2Pil7gseOxIqlE512/XuLyy0tfv1y5\nUo4qDMrMhHHjirj/flvcoohQKMSiRX4aNQpxwQVumjbN4OKLDebPT/zddOsWYO1aOe72S61bG/z+\nu8TevdH/v0cPnXXrZLp00bn9djstWtjRNJg/X/mjAjcPux3Wrs2hb1+dDRvMvtCycCILYEUJhWDa\nNDu6DldfrfLdd05UVaJFCyfffmtj8OAgRUU6997roG9fN23betmx4xC6Dk8+6eUvfwkyfnyQjz7y\nsWlTEZmZBh07epg2zc769Qpt2qTWob9ihUKnTsXH3nJLkNmz7fzxzJiQRYtsnHmmEddAHcwsRrt2\nZrQcS8eOGitWFBcFnX++js9HWPATYRhw550uDhyQmTLFz2OPObnvviAtW+rs3CmzdKnCmDEBXn7Z\nzpYtCm+/7Qu33rRsqTNoUIgJE5xxzS3atVNo3lzj3XedaJoWtp07lg5R5Y0w8/PzhWCeCFjl+QUF\nBVF9gxWNXCoyMScbT6LzHj0KP/8s0axZ8vfMzYX//lfi0ksjvV4lBg4Moigwa1bxJRBZULNggYch\nQ6Tw+u3NN2u8+Wb81IckmWudnTrpcdOyVlXsggXFrzcM+OoridNOM1i/XkbTTAODNWskvvtO5p13\nnHTs6MLjkXj3XYUpU0IYBtx/v/D9TBeLFysUFZmT4dNPB1i40EHPngE2bTKvvbZtoU+fUygqsrN1\naxF33qlz6JAZ/depE705ca1aQcaO9fHJJ15eesnO779LNGhQ+v3g9cJ//mMWB1nXef36Bp06hZgx\nI3HtgK7DzJl2hg0LsnBh4nu3Wzctblq2QQOz8vvrr60dd6woM/k88MordtasUWjdWuPAAYlgUGL0\naDMlPGGCk/vvN00Ynn/ewcyZPmI1Y8yYAIsW2cLvW4zEvn02hg0LMXmyB11XcDqdUb6tx8Jmsbzn\nPhG39oKTSDAlSULXdYLBIMFgEIfDUSn+omW5wCKNEOx2e9zxJBLMjRvNdcnSdH7tWplLLzWiGs/N\nylCDxx8PMWGCgqpGp4Gdzhw+/dRO//7F4WevXjq7d0v88EPi9xo4UOODD+ILWt++OgsWmM4+ixbJ\nXHKJndtvt9GwobkRde3a5poaaDgc8Oij2TzxhJNhwzTy8819DC+7zOzVVOMvWQnKyDPPmFZ4NWsa\nnHoqLFxop1evAO+9Z6NmTYOhQ90MG6byxht+atY021u2bnVy+eU6GRnFbkWRRgsNGhRw550F1Kyp\nM2SIk6Ki5O0t69YpNGumEVkfIkkSo0cHefVVR8IimDVrFGrWNBg1KsSyZdEmBpF07Wq2x8TLpHTs\nGF3o0769uY6ZaD7YtUvmn/904PNJ9O6tMnask4MHoUGDTBo0ME0K+vQJceedLt5+28+ZZ5b83DVr\nwr33Bpk40Uw5b9okc/PNLs49N4NevTw8/LCLoiKJhQudCX1bq1pEy7uGKSLM4xTLCcbaB9FyV0m3\nh2hZxhNrhFDW8WzcmFo6dvVqKWGfZseOBqefrvPGG8GoNPDy5TaaNjWoV6/4WIfD3IFkxozEUeaV\nV2ps3Chx+HDJv3fqpLNrl8SQITYeekhh4sQQ27apvPaayrffwnXXFZGdDWvX6vzf/wWw2Uz/2uXL\nTdeZ2bNlXnlFQ9PgH/8o+2UbbwKxJhy/31/pTjrVjcOH4csvFSTJ7Ln8/nuJQ4dkWrZU+fxzG4WF\n8M9/Bhg9Wo0qKtuwQQmvGSbqEd2+3c3tt/upWVNn8GAXR48mNlpYscJGx44lVbFVK50aNYy46VSA\nDz6wMXiwSq1aBi1axN/XEqBhQ7OX1ypsiuSKK7SodcwOHUKsXm2L26esqnDHHS4aN9Y57TSdMWNc\nXHqpxtSpfvbsKaR1a5277w7ywANOhg1Tk67fjhypsmaNQv/+LkaMcHPZZRrLlnnZvbuIXbuKePFF\nP2+9Fb+OoqpFtLwpWRFhHsdYF1l2dnZ4f7fKep/STIMTrVOW9Zzr18tcdlnpN8CaNeYuI7Hn1HWd\nwsICHnggn0mTMnE4itPA8+fLXH11SZG94Qadd96J/7QOkJFhtoF8/HHJz5Ofb1YnHjggsXGjSo8e\nBqGQiseTxznnaDRq5GDhQie6LnHDDfofVZghduyQCQTMit0LLzSoV8/gpZfiT2rxSHSzh0KhcF+r\nVVQVCoUIBAJhA/lIE4ATjaeeciJJZmrzrruCLFhgp1cvle++kzl4UOLhh4P0719yDXLjRoXLLkss\nBpIksXGjjQ4d4I03VLKzZcaPr4XNFt9oYflymfbtAyUeVCTJFJa33iqZlg0EYMECe7jlpW/fEAsW\nJE61dO0aiiuo7dtrrF9fnLE4+2wzY/P99yVF+vnnzWh33TqFM8/UOe00g7lzTfeeAwcktmyRycw0\n2LdP5qGHkm+wuWOHQiAA+/fLbNlSxK23qjRsWPzZe/YM8csvCjt3prb8UJqIxm4IXRXp3IKCAnJy\ncirl3MeSk0IwgfDFU5lFIMnObRkhlHXdNN45QyHYulWiVavkE3lBAezeLdGyZXRVcCAQQNM0bDYb\n3bp5uOACeOcd8+ZUVfjkE5mrry45KTZvbpCdbbB6dfwnX8Mw/uiljL6sDh+G7t3tdOigU7OmgcNR\nbF7v8Xjo21dixw6F004zWLtWwmaD7t0DuN0Sy5ap6DocOgTr1kmMHavh98Obb5bv0o1cp3W5XGT+\nP3vnHR5F2bXx38xsS6ND6CAgHUIXCL230CKCgAUBEXhRUCxYQHmxIAr2AggiKCC9F+mEFhJABSnS\nizSB9Gx2p3x/POxmN7ubhObrJ97XxR8ku7Mzk9nnPOec+9x3aKjX/KKLIe3q3f5TjaK//96MyWSQ\nJw88+KDB8uUmWrd28PDD+TGZYORI37p3QgKcOydTo0bg5y4hQZhK16wp5menTrWzd6/CN98E+Qgt\nJCdbOHVKpnp1O+np6aTf1MVz3eOePTPYudPEH394P28bNypUqaJRsqT4G3TporJunSmgEbQImL7B\np1AhgzJldPbvz+xjVqumEhPjvan+/XeJKVMsHDsm06WLyoULMm+/neFuc3z5pYU+fQSZZ+pUu4/u\nrifmzzfRr5+Nzz+3c/687O4he0JY56UxZ07OTOFACCT4n51rjr8g+r8YK/k7474JmC781QEzqzLN\nrfZN/R3z0CGJPHng6tXsj7Fnj0SdOgY2m6/uqnAzEcHhlVdUJk82oaoQEyPxwAMGpUr5Oxd4/HHd\nHVz9oWNHnR07ZDfD0W6HXr3MdOyo8/XXTmJiZC5dSnaLpFssFqKidFauVIiO1lm0SGxqOna0s3y5\nTL16BkuXOtB1eOIJE336iIX4rbdujaTlrwzub842N9Jonqa5f3ePS39YuVIhLU2InjdvrnL+vMSp\nUxLffitW+lq1/AfEvXsV6tTRsu2bx8aK17gkhcPCYP78dCZNshAXl7ncyLLMrl2iH5o3rxBacFV/\nXDOispxGVFQ6M2bgtVFZvNjsJahQrJjBgw/qbtecrIiM1DhwQPErrOEqyxoGvP22hT17TGza5J3V\nDhwYhK4bWCxQo4ZG/vwGUVHi8xMTYeFCMxcuSPTvr1K9euDNxKJFJsaNs7J6dTo9emh07+5kxgz/\nxKZHHrGzcKH5rpiou5CTa46/IGoYxm092/+Olfw/h6fF118RMF1lvTvpUwZCbKxEwYIGHTqYadHC\nTHy8/2O6ZPOy6q6GZNE6a9zYoEQJg8WLZVaulImKCvyl791bY8UKmZQU75+7rj1PHmjaVGf1avFo\njR5tIjzcYOzYdCQpkdq1nezdm89r1rVqVUH8qV5dZ+lSwZht1iyD/ftFP7RNGyhf3uD8eYlXX1V4\n+GGdq1dh3brc38vk5ORcl8GzIuv84v8nj0t/eOstK4oCSUkSTz3lZOVKMZ6RkiKRmCjTs6d/VlVO\n5VjXa7LORZYpY/DBBxkMHhxEamrmz7dtE9J7kHmPJUny2qgMHqzx/fdBqKoIon/+mcratQrt26d4\nbVQ6d1ZZtcp/JA8JgXr1/DNgXTqyI0ZY2bjRxNKlyezbZ3GX/KdOFVJ9Dz6oYxiilL17t0KrVsF8\n/72JOXPM1KqlsWePGCcJhM2bFV580crChelUriy+XwMHOpk92+yX2FSypAi+/gTk7yZyCqKAWzs3\nu0w0K/7tYf5DcK8DpouJ6/KFzE6wPbfHzHq+sbEyQ4ZoHD/uYOBAjZ49zYwe7csejYmRqFMnza/u\natZjjh6tMWmSwooVCl26BA6YRYpAo0a6j3KP5zF79BBl2R9/lNm6VeLDDxOw24VHZbduMqtXey8C\nkgRdumj8/LNMsWIGMTHCy7NVq8zA+9RTQhT8q68UypXTMZnghRdMHD0qBWTNurJ7EA4gd2N8KPOc\nAy80We257razyJ3g+nUhW1e1qvAdbdZMY84cMydPSgwbZsfpFPZZ/pCbgLl7t//X9OihUq+extix\nmfXKrVsVmjXLvh8aEQHh4bBjh5D62707LxEROsWKyV4El1atkli5UiEjw/9i3qaNEGPPikaNRB/z\n2DGZFSvSqFFDIyTE4PBh4YDy8ss2QkLg6FGFjh2ddOumcuVKCq+/nsHMmRbGjxdiDePHZ/iMkLhw\n+LBgwn73nd0rA42I0ClUyGDzZv+Zca9eThYuvPfm1lnherZd3xXX5iW7TNQVRF39/qSkpFvuYf7+\n++/YbDYee+yxgK+ZMmUKxYoVI2/evAwcOBBHoDr8PcJ9GzDvpe5rbgXbcwN/AXPPHokGDQwURRBx\n9u1zcPKkRPfuZpKSxHkkJtrZt0+ifn3VJ7v1l+W2by8GtzMyRMaXHR59VGfePO/r8jxmly46mzbJ\nPP+8wqefXqdAgUyPyi5dNNaskX121V266KxaJd90NxFsv6gonenTFRo3NjNunCBKmM3CvcTphOPH\nJTp0MFO0qIVWrcwsXSrGVjzLzy7ciszh7eJWnUVyEkW/Fxg7VpB90tIkatXSOX9e4uBBmcmTM1iz\nxkyePIZfXVZVFfOS2QmuO52Ceduggf/XTJpkZ/VqEzt2KFy6JHH1avb9UBf69XO6ZzKXLTPTo4fq\nk+3XqGEmNFTI7PnL9lu0cHj5Y7rw/fdmzGYYOdLhFplv0sTBli0KzZsHYxjw9NMOatUSpdsxYxyY\nzdC6tcb48XZkGS5ckGna1P81p6XBE0/YeOutDJo08X3N4487mTPHuyzr+r5HRTnZssWUo4DDvYbL\noCA35dxhw4bRsGFDzp49y/z589mzZ4+7N50Thg8fToMGDQJ+T9etW8fEiRPZtGkTZ86c4eTJk4wb\nN+5uXmqOuG8CZnbB4k7hymRUVXWzce/EQcMfXF+iGzfg4kXJK6gVLAg//qhSrpxB69YmTp9OIj7e\noEIFKFrUN7v1F4QlSVhsmc3kqE3bpYvOnj0SN00DfM4zODgDm02nYUMnzZqFeAXrMmWgaFGDPXu8\nP6RxY4PjxyWaNdNYulTh119N/PijzJ490k3BAjGr58omXefpdEJsrINRozQmTFBo08bEvn1iocx0\ndfnfaXJm5yySVRTdbrcD3LNSrmEIG68yZXTOnpXp08fJf/5jo1Qpg169VNavt/DQQ/7T9UOHZIoX\nz15w/ZdfZEqX1smXz//v8+WDd97J4IUXrGzerBAZqZKb/eTDDzvZuFE4k6xfb3L3D11wLeadO6v8\n9FOwz2KuaRrly6eTkmLw228Z7iC6fTt8+KGFxx5zEBeXeSKRkU4+/1yIL3z+uZ3YWMGMbdJEo2rV\nzAA/a5YFs9mgXz8n0dHe5WYXXn7ZSs2aOv37+8/ae/QQ1+YvKBYoIBEZqd3zsmwg5ET48RdEP/ro\nIz777DMUReHo0aMMHTqUggUL8sQTT2T7WfPmzSN//vy0bt064LM/a9YsBg0aRJUqVciXLx9jx47l\n22+/vZNLvGXcNwHTE3dT99XVp5QkYeIcSPf1dpH1WHFxErVrGz4LjSRpvP32DZo0sTNgQAH27g0h\nMjL7a8x6D86fl0hLg4MHsz//kBARND1FClwZVHJyMitX6oCEzWbyW4ru0sV39MRigTZtdI4ckbFa\noVevArRqpdO0qcGLL2qcPSv6tmFh8PHHKqoqAsD169Cxo4WqVTU2bUqgU6dUevTIx+HDeXNUS/pf\nITtRdOCejQBs3CgMuVu3VpFlKFpUZ88ehVdeyeDgQfmmRqr/Plxs7O31L7Oie3eV8HCD6dPNPuXY\nQAt0/vyipPr++1aqVNEID/d/H7p0UVm5MvNv7rmYh4QE07q1xo4dwciyzNWrOoMHBzN5cgLt2qWy\nZYvsLpmbTDrnzslUq6bz0ENCj3bjRhOvvJJZ/ktJgSVLTERE6Hz0UQa1auk895y3y8rixSZiYkxM\nmWIPuAktUACaNvUei/G8D927C4H5/y+w2WzUq1cPSZKYPn06+/bt4/r160yYMCHge5KSkhg3bhxT\npkzJ9hn/7bffiIiIcP+/Zs2aXL58mRv+9DjvEf4NmLcBz3lKV58yODg4W93XO4Hn+e7ZI3uNk7hE\nGYRakIkPPlAoU0biyy9NNGzov9zlb1H6808xgjJ0qMbnn+e87X/0UY1588Tjo+s6mqbdLL1YGDs2\nD5MmqWzYIPul+nfqlNmb9ETHjjqTJyukpEDLlhk8+6xGVJTO6NEmMjJgwwYnTqdwM/nkE/XmZ0Pe\nvBrNmpkZPjyE5ctDyJcP2re3MG6cb+k3N/irg6snqQgye0aBSEWufuitBtExY2zYbBAXp1CwoBAK\nVxQRxJYsERu9Ro0CE35yGmPKTY9TkuCDD+zExyte2VpO6NfPydKlJrp1C6xPW6+ezp9/CsavP7Ru\nrbFlixmLxcLYsXnp1k0jKspE48Yyhw+bSEjQSU52MnJkHiQJhg9PY+ZMhcqVNZo00ahSJfN8Fy0S\nzNoJEzKQJPjwQzsHDsgsXSqC27VrEi+9ZGXaNF95vKx45BGVRYv8V6Q6dFDZts3kQ7L7K3C7IyVZ\n32ez2Sjlj3Z/E2+88QaDBg2iePHi2X5eSkqKV1/URSpKTk6+5XO8Xdw3ATM3cnO5QXbG0vcqk/E8\nblyc0IV19ekSEhK8XFYUReLrr1WuXYN9+7Ivp3ie608/yTRvrvPMMxpLluQsct6ihXGz/+Vw9wqD\ng4OZMyeY8uXh0UcNKlc22LrV9xzq1jVISPAVYz99WuL4cYkFCxzs2GFFVYWP559/wsyZKqVKCb3Z\nBQtkBg7UKVtWsGt//VXB6ZRZt85CkSIGRYoYVKhgMGmSiYoVLezZk/vy+N/BUgmyJxW59JCzkopc\n/VB/z2BysiD7dOvm4OhRhRIldIKDDdq0UZkzx8ynn1qwWAzKlg08UhKoNwki2w9E+MmK4GBRUXAF\nl9ygaVONGzckN8PUH2RZBJi1a/0ft2VLwZRduVIhLk5h3LgMJEkiNFShbl2NffuCefbZAui6RPHi\nOleuyMybZ+HoUZkhQxK97vNHH1moWVMjIkJ3X9Pnn9t58UUrCQnw2mtWHn5YpV69nDcF7dqpxMcr\nXLsmcf68xMSJVh59ND8PPBBC/fohmEwGGzb89VnmnViM5fa9Bw4cYOPGjYwcOdL9vkAIDQ0lyWM2\nyLXu/JXjK/dNwPTE7QQ2oYyT4pdxeifHzQ0yiUqwd69M7dpOkpKS3H26rC4r585JFC4M8+crbNuW\nuwd+3TqZDh10CheGbt30gELrmVDp0iWdBQtkN/s0ORkmTjTx9tsuBRadZct8jyMWNp1VqzJ/t26d\nxPTpCrVrG6SmigVrzBiF+HiJChUM9+jMk09qGAZs2ZLB4sVXMQyRtSQlQWiowcmTMkOHisDfqJHB\nH39A7975eeedwNfzdwmSOSEnUpHT6QxIKnrnHTEYWa2a4WaBumZ5p083Y7UaNG2q+i0dXrkiceOG\nRMWKgRf/8+clVFWo5eSEmBiFFi1UFi825cr3EkTALljQYNu27J/Ljh01Hxa2C0WKGJQsqfP88zY+\n+shOcHDm75o101i82MSqVRaCgw2eesrJihU2wsKgUiWDiAgzMTFBLF1qZcYMmZMnZd5++4bXfa5f\nX6V9e5Vnn7WxfbvC66/nbogyOBgiI1X697cRGRnCtWsSTz6Zzs6dacTEpDF0qPN/1se8XeT2O7V1\n61ZOnz5N6dKlKVasGB9++CGLFi2iXr16Pq+tVq0aBw4ccP//559/Jjw8nPzZNdbvMu6bgHm7GaZn\nn9Jl5BxonvJe98pOnjSwWHTCwpKw2WzkyZPH75jE7t0STZroTJ3qZMAAM1ev+h7L81x1XfS32rYV\nC+Lw4RpTpyqofqpfnhuHRx4xWLYsCEUR5bypU620bKlTo4Y4bteuolfpjwTaqZNgxYrrgkGDzHz/\nvZMePUQgjYzMYOpUEzNmOOneXRzHMAzat0/HbocFC8wULpyHkBCR3dhsUKKEIANduQKDB+ts3Ohk\n6FCNvHl13nvPwsCB/78Wndwgt6Sib78188ADKsuXK9y4IdG3r4NduxQKFDDo1k2lRAkjYDk2Nlaw\nY7ObjHL1L3OzTsbEKLRqpTFihJPx43MnVblqlYnu3VV+/NEcUJoRoGVLlX37lIDM0uBgITafVb+2\neXOVxYvNlCqlU6OGyhNPCFnGxESJlBSJihXz8MEHQaxZY+P998MIDzdo0MDic59HjEhg+XITzz+f\nis2WO0WojRsVduxQOHdOJj4+lYkT0+nQIYNixQRjuW9fJ+vXK7fVXrgT3G6G6XQ6c016fPrppzl5\n8iQ///wzBw4c4JlnnqFz586sW7fO57WPP/4433zzDYcPH+bGjRv897//ZcCAAbd8fneC+yZgeiI3\ngc1zNCFrnzKn990L2O12tm2zU7euRr58+bIdk9i9W6ZhQ5127Qweflhj9Gj/gcJ1rgcOSOTPb1Cm\njPh5zZoGpUoZrFkje73WpZQjyzL58uWjSRMTaWkShw6JReXLLy2MGZP5ra5QwaBAAV9GLAjN2bg4\niYQEGDbMzKhRGo0bG3TuLPqbO3aI4fF27Sxs2iRmOoWcnZ2GDTUWL7bRpImNqCjNrYlqGAY1a+pM\nmGByl3snTdIoWVKnf38n8+bJDBr0zwuaWZGVVHTsWCipqRIjR9o5dEjBZBKi5uHhOt98k8CqVQqp\nqdCgQaCAKWc7TgK561+6sH27iaZNNYYOdbBnj+KWpgu0QBuGCJgDBjjJn99gx47AWWZIiJit9FfC\nPH9e4vBh2a1C5IlTp4RmsaIY/Oc/djIyDJxOuH5d4vHHnRw9msK6delMnWonIUFi5EiHX/LWunVh\nlCmjExdndg/8ByJvGQZMnGhh2DAb06fbuXFDwmIxfO5D6dIicO7d+/9juU5OTibU034mGwQFBVGk\nSBGKFClCeHg4oaHCXLtgwYKcPXuWsLAwzp8/D0D79u156aWXaNmyJWXLlqV8+fK89dZb9/JSfPD/\n4y9wl5FTwMyqjJPbecq7XdpzkYs0TUPTNA4dCqFBAznHz9m9W6JhQ3F948ZpxMbKXsEv67n+9JNM\nu3be2/bBg0WWCWLH6BIqd20cBFEFevXSWLBAZuZMK82bq1Sq5H1fu3XzL3IQEgKRkTpjxyrcuCH0\nTKdNE2MkSUmgaRI1a+rMmuXk0UfTuXhRomvX/Ny4kZdHHjFISoJu3TRmztQoUsTA4RDKNevWKfTp\no/HMM2YMQ3hxTpmSxMqVZr76yskPP8iMH39/eWqOHh2E2QxJSWY0TaJgQUhPV3jtNTtnz5q5fFni\n+nWJBx9MdwvQe4osxMZm378EcvUagD/+EJukKlV0goPF/OP772evmfrbb2K+tlo1nd69ncyfn/2m\np1Mn1W8Jc/x4K4MGOThxQvbJQMeMsZIvn4HTKVGhgk6bNiEoCnTurDJwoNNN3Pn6a5HhDhrku7m4\nfl1myhQr06bZWbPGwuXLwW4GdFYnkZSUVN54Q2HpUoUtW5Jp106lUSP/3p0gerOBfnev8L9wKhk3\nbhzfffcdAKVLlyY5OZmSJUu6fz9q1CguXbpEYmIi33zzzV0f38sJ903AzE1J1rPcaLVab3me8m6W\nZD1NpRVFISgo6ObgePYkgsREQZ5xlUUFGcHJc8+JHqO/c92wIbMc60LPnjr790v8+quYEQwKCvK7\ncejVS2f+fIWvv7bx3HN2n/Pp0kWYSvu7LZGRQpjgxAmJL75Q+PlnmfXrZZKT4fx5hVKlNBYtzSu2\nlgAAIABJREFUUunXz84TT2jkyycRGWnhww8VZFmILEgSDB2qYzYLIYOhQ1W2bhULosscu3JlnaFD\nHSxerPDxxyrvvquwfn3m8/B3Gjm529A0iI9XaN9eZfp0C6oK4eE6SUkSUVE6q1cHUaeOToMGOsHB\nFrdBgYv1nJCQyoEDMjVrpgckFaWmCkJRIA1aT8TECLNoV6HmiSecxMcrfu23XFizxkTHjqK/+vDD\nKitWmMluFt4VXDxbCocPy2zcqPDCCw4eeshbJm/mTDMJCaLKUriwTseOebDZDMxmA7s98znRNJgy\nxULLlprfLPW99yxER6s0aKDzxBNOvvjC4ldWMTg4hIkT87F5s4VFixLIm1eQt9q2TWPFCjGeBd7P\nZZs2gYPpvcTtBMykpKR/pI4s3EcBEwLryWbtU+ZU8szu+He6+HqaSrvE2hVFmDz//LOYwcwOcXFC\ncN0zzrdqZdC8uc6ECb6ZVUoK7N8v0aSJ9/0wjHQefjiN2bODshWMj4gwSEszKFFCp3p13wyjTh2D\n9HSJo0d933v4sIyiwMGDDtascfLZZyrh4dCpk0axYhonTkj8+GMQN26E0q2bTkqKRLt2GlevShQv\nbrBggYJhiBEXk0mUZdetkylRwqBePZ3XXze5h8lHjXJy+rREsWIQHa3zyCNmLl4MfB//KUH0k09E\npj1ggIMzZ1zEKSeRkRr58gmmalgY7nKqLMtepKJTp8IoU0ZoBLtIRWlpaV5kl/h4MbNos2V3JgI7\ndoiA6UJQEDz3XPZZ5urVImACFC9uULOmxvr1gYNH8eLChWTPnsznfcIECyNHOsiTR/Q5N20SvzMM\nePNNC61bqyQkSPzyi4nXXkvlwgWZxx5zEhub2ctft04hPV1iyBDfWanjxyUWLsyc1RwyxMn8+Wau\nX/c9v2nTLKxfb2bFinSKF89UK+rUyWDzZgsOhxjT8lQrql3bzsmTsl+xkHuF2/0O/FN1ZOE+C5gu\neMrj+etT3m5p9U4Cpj83DRe5SJIkDh+WKFHCCKii4sLu3bLfebkJE1TmzFH4/XfvTUNMjEydOoZb\nFsxzvnToUJm5c604HNnfD8MQrFZ/1y50YkWW6YkTJ2D9epkHHzQ4eVJy/2z+fInx469x4YLCsmUZ\nFC1q0KiRhUKFxJjMli0KsbFi4UtIEOXnMmVwizns2iUzdqzKkiUKderoTJkiFkaLBd55R+P11xWm\nTVPJmxe6dTPfZNl6Vx/+SfjkEwsFCxpMnCgk8Vq2FP29Hj2cnDghcfGixIULEo0aZQYxwxDzvuPH\nWxg4MIhz52Rq185Pq1YFefHFAixdmgdVzSS7xMRo1Kljz5XIgivD9MSAAU727FH47TffdsPlyxLH\nj8te7+nVS81RY7VDh8yy7K+/yuzdq7jLqK1aaW6ZvNmzTSQlSW7GrMUCly6JjdjIkU5KldI5cEA8\nu1OmiL66P8Prd9+1MmyYk0KFxHUXL27Qvr3qI3u3ZYvCBx9YmD8/nQIFMn8uSRKlSsmUKmWwf78N\ns9nspU0syxqRkRmsWaN5zeLeS23iOynJ/pth/oPgKjndTp8yp+PezsPr2SP056YhSRL79ilevpaB\nEBsr+TWWDg8X8nKvvOI9M7pxo0Tr1rpXCdjl11mpkky1aoZPsPPEtm0SoaEQHx/Y1DkqSvNR9hk/\n3sR//iOECdaskXE4HLz6qsGQIXaqVMlD06ZCMmzkSJ3KlQ169BCuDn36aJQrB1u2iMXvySeFD+Jj\njwl/REmCV18107+/RkgIfPGFwrVrgmHboYNOkSIwb57MokVOfvtN4quvJB9x9H8Kjh2TuHZN4vHH\nHcTGKjzwgE67dmIQvlMnwQrt0kXll18U6tUT4zorV1po0SKYIUOCUBSx8I8encHq1Wl8/rmdunV1\nFi+2EBGRlw8/DMMwgjhwIIjISHz6dFmdWy5dgqtXZR8LrOBgkZF99plvirp+vULLlqpXCTQqysnm\nzdlrrIp5TPGsT5pk4dlnHQQFid9Vq6aTkgKnTkm89ZaVtm1VVqww0bu30JydMcNKzZoapUoZNGum\nsW2biV9+kTlyRKZTJ9WnHPvbbzJbtig884x35vn00w6++cbiZvWePCkxcKCNmTPtlC3r/8siysni\nA7KOEbVtC7t2BburPa6y+d9N4P/fDPMfAtdD5ho+vp0+ZU7Hv5UHVdM0UlJSSE1NxWazZeumceCA\nQt26OTF7xZxmoD7n8OEav/0ms3Fj5q5x0yaZxo2FUpCnR6ULAwZozJwZeCPx+ecKI0eqhIYaXnqc\nnmjWzODoUYlLl8T/f/5ZYutWmREjNNq1U1m1Cvbvz2DnTgujRyvIskybNg7WrVPo2VPj0KFM7dwj\nR8S5h4VB27Y6Fy9K9O9vomtXofISEgJbt0oMH66xbp0oFfbsmZdevYJo185M4cIGY8aYKFNGIyrK\nwZgxZq5c8RZHB9zZ0v9ns+jXXhNZ5erVZmQZUlMldB0aNhTl2CVLTFStqlOpks6NGxL9+oXx3nvB\nvPJKBvv2pfLaaw7OnZPp3FmjTBmDOnV0Bg50smhROj/9lMbvv8s0ahTCjh0mHnrI8BFE99RyzcjI\nYNMmlfr1Haiq78I+cKCDtWvN/PGH95K0bp2JDh2855vy5xdycoHsvEB4eiYmSmzYILNjh8KAAZkk\nHUkSWeLHH1u4dk0iMVGiSBGD995zULeug4sXZXdpVQRMhS++EFWOrl19Z63ee08E5KxJVd26Onnz\nCkay0yl8NUePdvgVYXehbVuVTZvMfjO7li1VNm82oSimXAv85yRokR3+F6Sfvzvuq4DpkpCTZRlF\nUe6Zg0VuRlbS09NJSkpCUZSAZsYuuDLMOnWyz36OH5cIC4Nixfz/3mqFd99VGTPGhK7D+fMqFy5A\nzZpO8uTJ4+VR6UK3bjoHDkicOeN7vPPnYft2mX79dLp3V1m+3H8fymIRwc0lhzdpksKoUSqKkk6l\nSglcvizz8cf5GDZMd5eG27RxsHGjicKFoVw5g337JJ56SmP9etltBDxsmFh4Ll6UmDDBRJs2OmFh\nYkF0ZaQHD8qcPq3Qs6eDMWOE8orFYlCtmpV69VQURWLEiFD3HGPwzdqcyyw6p9GAvyvS0mDDBhOl\nSukcPSrToYNKUBBs364QHe3k2DGZa9fEOFDJkjotWgRTp47Kpk0JdOwoSDlXrkgkJEg8+KDvc1e+\nvMHMmXZGjMggNRUfvVN/SkXx8SE0bar7zY6CgzPo08fO118Hue9tRgZs2WKibVvfAPPwwyoLFgTe\n6LpUf955x8rgwU73c+VC69Yq8+ebqFRJJzZW4fPPhfPI6dMKkgTt2onPjIxU2bNHYeVKE5cvS7Rp\n4x0wf/lFZtcuhcGDfVmzkiRITbNnm5k0yUL+/AZDhgTworuJunV1zp+XuXTJdy0oV06YWB854st4\nDzSLC4F7z/eqmpJVwu6fhPsqYLqcRGy5YSfcBnIKvp49U03TAgaprHA4JI4eVYiIyH6RFrZf2X8J\nunXTMZsNlixR2LpVGEznzRsasBxtswnT6O++8/39t98KM+fQUOjZU2XZMkvAofKoKNHHPHUKNm2S\niI6+gaqq5M+fh6ZNDdauVRgyJHNhLFZMyLTt3i2RkiIWiw8/1MiTB4YMEYtzq1aib1mzps7WrRL5\n84PFYhAcDL/9JjF7thOrVQiKHzpkonlzlYEDE5g//waKAitWBFG8uMHu3SZ27swsVQM+83U56br+\nr8tgWTF3rglNEyXQoCAoX16nUSOVmBhXOVboss6fb2LrVoVZs+yMHp3uVW7cu1eUarMbPQ4Kgvbt\nVb75xsxLL1mzFRXYuVOhSRM9YHY0aFAqc+fauHgxnfT0dLZtM6hYUaNgQd+DduyoEhencPVq4O/O\nQw9pHDig8PTTviSdwoWFotT58xIPPKDTpo149jZtsmI2w9mz4rj58kFYmEH58hqNGgnHHE9MnCjI\nRJ6qQZ6Ijnby008mpk8388UX9mzvJYDJBE2aONm61XfzKTJjYXidE7LOiAYHCz9Rfy45nkE0Kxny\n3x6mN+6rgOla9O61ibS/Y2ed7QwNDRyksuLwYYVy5bSAX0oXRDk28HWJzDaN0aMTef/9UHbuDKJV\nq5zvw4ABOt995600omkiYA4aJH5YpYpOaKhBbKz/L1j79joxMTLvvafTr1864eHB7r5xRoaQLfMk\nQYj3qHz+uWApnjwpnFSGDhVZ5ubNEmYztGsn5jyXLHGyerXM2bMSDodYXL78UmH4cA2HA777zsTp\n00LWsGHDEBo2NOjTR6N1ax2HA555JvBinxtd10BlsP8FDAPef9+CLIPDIezUfv9dITgYmjVTyZNH\nOGnY7WIcZPHidL9lwtwIFsTGKrRsqfHTT2ns36/wyitWv73s69fh7FnZrb3qgmd2VLasTOvWDhYs\nEG2S9evNtG5t95vhBwUZtGunZuvkceSIjCSJIJQVH35oQZLEhnD0aBFQ//gD/vhDpkULp1uCz+mE\n5GSJ5GTJzdT1PP7u3d7l3qwIChLPYocOql+fUX9o2dLBpk3+s2dXifhW4RpvCeSS45r59rzXuq7f\n1kbw35LsPwx/ZcB0jYlkp0GbE/bvV6hVK7BLgwt790p++5dZhdq7dg0iPBzWrjXTokXO96FGDSFo\n7tn73LhRIjzccGe9kiTRtWsGixb5PlKGYWCxpFO9uoOFC62MHKm470FiomC2Xr0qAqILkiTRtq2T\ntWtl3nlHo1EjIY/Xu7cYXxg61ExqKowYIUS5L12SCA0VGWeZMgbVqhmsXSvTo0c6O3ZYaNbMwY8/\nFnAzj198UeOjj0x8+KFGdLTKmTMy06bl3g7Mn65r1jJY1h38X1XK3btX5upVMftapYrGI4842bVL\n4fhxmZ49VQ4dkrl4UWbTJoVixYyAVYm9e7M3jAah8FO/vuiJLliQxs6dCu++65sd7d4tXpfToz9k\niJ1p06yAiY0brXTuLAUc/u/SJZUFC2S/zi1pafDDD2YaNNB8jKPPnpXYs0dBUYQofY8e4rs1caKV\nQoV0OndW2bpVvGf1alHWPn1a9umlTpliYcgQZ7Yb2cmThfXc4cO5D3LNmzvYts2/BGCzZho7dpju\nikyevxlRz3sN3FZLIiUl5d+A+U+C51jJvTx2oDGRW8W+fQoREdkHzPR0Yc9Vq5b3NXlmti6hdkWR\nGTzYzvXrQtg8N3j8cY3ZszO/9LNmKTzxhPe3NioqgyVLFK8vutPpdI+p5M+vULQolCiReQ++/16I\nJtSta7Bli/fjeOWKjKpCjRo6vXvrzJ8vU7GiQf78BpUq6fz3vwqNGxs3y8YmunTRGTBA48wZye0X\n+uKLZvr1s2O1ynz9tYkLF2DlSpnjxyWCggy++Ubmyy+FEPcrr9i4di1Xt8MvctrBB2KP3u3n8NNP\nhUCB2Wxw+bJMlSoaxYrp7N+v0LGjyhtvCP3Wp592+ox4uKCqgmhWr17glTkxEc6ckalZU/zBBZEo\nnR9/NDN3rneQ2rHD5DW6Egi1a4tMbOZMM8nJotweaGFv3x4OHzZx/rzhUyb/4QeRHffo4fRxL/nw\nQwuaBhERItAHBYmsfMkSE507Z9C8uSh7GgZMn26mY0cVXYeCBTP/TmfPSqxda2LwYD/+dTfx++8S\nX39tZvp0O+fOCSee3KBUKY2wMINDh2Ti4mTeeMNKdHQQtWqFEB0dhGGIUZl7gVu1mvP3HN9Khtm/\nf3+KFStGnjx5KFeuHG+//bbf13377bcoikJYWJj737Zt2+7ORd8C7quA6SlccC8/I6cxkVvFtm0m\npk2z8eGHSsAFff9+iSpVDDd13l9m68nATU+XKVjQcKvh5IRevXTWrZO5cUOU1zZskOnVKzMySpJE\nxYoqISEGcXGZYzupqak3F7gwfv5Z4fp1yb07NgyYOlXh6ac1Onb09sg0DJg0yUpkpMG6dTJRUTo7\nd8pcuybmOqtWNZgzR+HoUSFicP26xHvvaXz0kYqiwNGjUKmSytq1Vvr2zWDdOqH8Uq2ahalTFbZt\nk7HZ4PnnTfTtG8SQIQ7MZujUKTjbPtytINBC75qt87Toci30wB31Q69ckdxuHV27qpQubXDypEJ4\nuLDy2r5dYfNmhalT0zl8WAkYxA4dkilRQs927jc+XiEiwjtrLFzYYO7cdF591erWiAVX/zJ3adHQ\noQ4++8xM27aB+6eSJBEcrNCpk8aaNSFe9xYkpk+38uSTyTRtmsz69QppaRk3N486c+aYKVjQ4MIF\nmaQkiStXhMBDYqJEaKjGkSMKZjOsXatw+LAwDyha1GD37swN46efWnj8cSeBjDIMA0aNsvHyyw7K\nljXo2TN7klJWlC2r06tXEE89FURwsMGgQQ5+/DGdL76w06KFSkzMvZV39Hz+smtJeLKghw0bRrNm\nzbh48SLLly/n119/dasWBcKYMWM4deoUSUlJrFmzhk8//ZS1a9f6fW1kZCTJycnuf82aNbur15wb\n3FcB0xP3oizr0ny12+1uKblAYyK5RXq6WATfeiuZo0clatWy8Omngqbuibg42e2TmZvMNibGRHR0\nBu+/nzsXhAIFBNN14UKZhQuF9mzWxUKwU3UWLNB9xlQ2bBAl3JIlM/uc27cLPdomTQw6dtRZuzZT\nQm/zZgvp6fD00xpr1iiEhYk+6KJFMp066WzZIvPKKxpPPGEiMVFYSx07ppKSksSAAWlomkSRIjKy\nDO++G0z79iplyxqUL2+wbJmT6dNVduxwUqoUVK6sMXu2WMx+/11m6tQcmsV3gEAWXZ5KSna73YfR\nmNtndcYMM6oKJpOBrkv07u1k61aFy5eFOMGgQTZKlzbo0EFj927hMJL1/CBn/0sIrB9bpYrORx9l\n0L9/ENevCzWpI0dk6tbNXcDs2lXljz9kKlbM+fXR0U63+bLr3sbFBeF0SnToYKZyZRuFCxvs3y/E\n0KdNk3A6oWfPdIoV0yhSRKd27VCmTLFgs4HTKfH551auXBEG0P36iXngli1Vd+/w2jWJ+fPNDB8e\nOLtcutTEjRuSmz0bHe1k8eLAs8ouXLwo8dRTeTh8WKZoUYMDB1IZM8ZBx44aFSvqRETodOt27wOm\nC9kx97MG0UmTJvHuu++i6zoxMTH06tWLfPny8eyzzwY8frVq1bxImCaTiSJFivh97d+BVPdvwLwL\nMAzDa2QlKCgooJTcreKXX4QPYevWTqZOVVm3TpBb2rc3u+caQUji1a2r5jqzjYkx8fjjdgoVgsWL\nc/cYPPaYzuzZCnPnKvTt60ve0HWdtm0TWbbMTFiYNwN4+nRBEOrSJdPWa+pUhcGDhdtIpUpCzu/g\nQfH6Tz+1MWpUBm3a6OzcKXH4MFSsaDBlisKpUxInTkjUri1mNEeNcpI3r8HkyYLY9cwzJoKCICZG\npkABg1WrLAwYkMGlSyKwbt8uPkOWxWjKpUsyu3alUaSIED6YNCmUgwf/uq+GJ/EFRBnMk9GYlYwR\nqI/kdMKnnwr1ooEDxULfpYvK3r0Kly4JN5natXUef9zJn39K/PmnRJUqmX9Hz+MJS6/sU20RVP2/\npls3lagolZEjbcTGKtSsqeUonediZaqqyNB++y3nv0GLFhonT0pu2T+AadPMDB7sRJLEve3YUWXj\nRhs2WxCTJ4dis8HRo2auXJExmw1atUonNRV6907nzTeTWbYsmTFj7Jw9K7N6tYlz52R691bZskVs\nfr/5xkxUlDMgicduh7Fjrbz7boabcFS/vk5qqnBLCYTYWJnmzYN58EGVDRtSOH5c9ruZbdJEY+fO\nu9PHDITbYciGhoYSGRmJ2Wxmzpw5HDlyhAsXLrjNoQNh2LBhhISEUK1aNV5//XXq1Knj8xpJkti/\nfz+FCxemUqVKTJgwAe2v9jvjPguYt+uJGQhZyTQu3de7WfLdv1/ox7rOtWpVg1WrnLRqpRMZaSEu\nTgSq2FioXDkpRwEEgNOnxYxbhQoaL7+sMXGikqsyZJs2OidPCl3YNm0y36DrOmlpaRiGQb16FiwW\nocnpwh9/iHnNRx7R6dxZjJdcvizKuq7AK0ku81+ZX36ROH5coVEjJ1OmCJZsy5YWdu2SOXdOYtgw\nE2lp0KaNhXz5DD79VKFDBwdr1gRhtVqpVEkE17x5IU8e4ZE5daqVUqUMIiMNvvwyc3f+2GNCl9Qw\nYOPGVHRdZBkDBwbjCJxA3FNkZTS6SmA5jbYsXqyQmiohSVC9us5DD2mcPCk2DWFhYvD90CGZ6Ggh\nRdegQeCSZ06EH13POQt9880Mjh6VmTrVHLBX6g87dijUqKGzdq2ZGzeyf63ZDFFRKkuXiuftyhWJ\njRtN9OmTWYJxyeQtXChk8ITakQiq33yTwa5dNmw26N5dJTVVYtMmg507XcfXcToNChVSOXpU5soV\nEZD/85/AzNgvv7RQo4ZGs2aZ1yzL4vhLlvj/Xi5aZKJPnyA++8zOyy+nUKKEKMt6lrVdCA83KFRI\n9Dj/bsjKDcmbNy/lypXL9j1ffPEFKSkpbNiwgddff53Y2Fif1zRr1oxDhw5x9epVFi1axNy5c5k0\nadJdP/+c8Pe7438R7jRgepJpQkNDCQ0NRZblu17q3bdPpk4d756WLMPrr2tMnuyke3cTy5alc/26\nRN26YbkSY9i2Tb7ZTzJo315HUYRoeU4wmaBiRZ3SpUU2mFW0HsBqtdCzp86SJZnHmzVLITpazGvW\nqWOQnCzx2WcKUVE6nvPNrrLsRx8pVKig0bRpGImJEkOGaPTsqbNqlZMhQzReeEGjQwf1pg6swfXr\nMmvWWLl6VeL338WxHn1Up0IFgwsXJHTdYPlyIZf3++8SW7bI/PGHeF3+/GIh+/ZbE+Hh8PjjIjO5\nelXi88//Wuug7JCb0ZYJE8Qc7EMPOVmyRKFXLztbtsjcuCERHGzQsqXKgw/qPPCA6McF8q+8dk3i\n6lWJypUD76KOHZPJl0+wpwPBZoPp0+2sX2/yK34QCD/9JGZF27VT+eGHnP8GPXqoLFkiXjdnjpmu\nXZ1evdf69YUi1KuvihnLjRtNREZqPP+8k5o1da5fl7DbJZYssVGrVhEmTcrDwYNWQkLEsxUVlUHf\nvsFUq+bgvfdkqlVTqVAhw2+v+coViY8/NvPf/2b4nGe3bk5WrPANmD/8YOK116wsW5buFkwAwYh1\nZbVZ0aSJ6p4dvhe43RlMF27HuKJFixb06tWLuXPn+vz+gQceoMxNw97q1aszduxYFi5ceNvnd7u4\nrwLm3cgwc7IAu/sBU7iP+JbfnLRokcBHHyXzzDP5qVgRFCV3D+n27bKbgCFJMGqU5hYpzw6GARcv\nypw/L2G3C2KT0+mrEtS9u87ixaIfaRgwZ47sZtTKsgiMs2fLPPaY94LdtKlwZJk3TyY42GDHjmSm\nTFEZNEgQjlzOJD/+KPHzzxI2G3zxhUbBggZ2u/C+bNvWwpkzwqfz2DEJk0ncF6tVSOYdPSq0c2fN\nyrzeIUOczJghmKVDhzqxWoXDysSJFi5c+PuKsXv2Q3/5JZgzZ8Q1jRuXTny8iTZt0li8WCEtDb77\nLoF58xT69HFgGNkHzLg4mTp1NLIbE86t/2XFijqSBAsWmHPs37mwYYNCmzYqgwc7mDYtsBiGC02b\nam4W6qxZZp+5SEWB2rU1Ll8WPfPgYIOxY0VAO3VKkNCcTm6anV/h008zbj5rKtevy/z3vxq9emlc\numRm0aIghg61B5y9fe89M48+6qR8ed+LrV9fBGdPtuzSpSbGjbOyfHk6NWqIC3UFq2bNAvcqGzfW\n7mnAvF3caaB1Op2EZJVlyuaz/mrcVwHTE7ca2HJrAXY3A2Z6Opw4IVG9usuh3fDSnw0KCiI62kr7\n9jqHD/uXr/MHkWFm7o6jo3VOn5aIj8/+QT90SELTDIoV01i/3unlkel53bVrG6iqxMGDErGxYpHy\nFI6vWlVol3paioHoLYpSscHcuWkUKyYWkAcfNLDZDOLjVSpUSCA1VaJ4cYmmTcXn/Pabk8KFRTC+\nfh2aNLGwd69Mo0Y69erplC2roWmwaJFC//4asmwwbZrCvn0SW7cKl/sSJXQ2bFCoXFknIsLpJs38\n5z/W3N3U/zFeesmGLIvRjr17rXTrpuJ0BnHypIm2bVUKFpTZutVMx44pXLuWyq+/ylSvnup3tCV3\nhtE5ixoA7N8vU7WqzrlzUrYiAy6cPSsy4ogI4dEZGmq4rbgCwWQSPdOPP7YQEmJQt65vhD12THio\nliql37Qz07lxA6KjgzGZBFHpzTczKFDAYNYsM/36OSldWlRfihY1ePVVB1arcbOkK/lVKjp+XGPx\nYjNDhyb4JWzJsigfr1ghNtibNyu88IKVRYvSqVjR95wbNtSIixPCHlnRqJEImPcqZtxu4LPb7blW\nUrt69Srz5s0jNTUVTdNYt24dCxYsoFu3bj6vXbNmDZdvepsdOXKECRMm0L1791s+vzvFvwEzB7hI\nF7m1ALubAfOXXyQqVTKw2cRnufRnZVn28qhMTBRB7+GHzaSkZH/Ms2fFUHflypnnaDbDf/6TfZZp\nGAZz5+pERaXRp4+DZcvyBCQ2CbasxpIlMt9/r9Cvn8gyXDh2TPzHsz+1dKnMwIFmgoOF8IDn6zVN\no02bDFasMNC0ENLShK9lly4aq1bJWCzw1VdOwsOFsk3TphrPPmsiTx5IS5PcouNms8gylyxRuHwZ\nHn3UxIQJJnr2DOLQIYVRo2wcOyYzcGA6+fIZ1KqlsXWric2b/347eU+cOSOxf78Yfxg82MGcOWb6\n93cybJgIou+842D58iDatdMoWjSIY8fyUKmSRliY92iLqqqoqkpsrEzdutkzc3ObYe7caaJxY41P\nPsng5Zet2TqMGIbwg2zVSvRWJUmQl2bOzF1Zdtkyk7uk7oljxyTOnRPPQJUqGv37O7l6VaJNm2Au\nXxaVinPnZJxOA4dDYt48E4895uTGDaEalZ6O+3w0TWTALngStiZPzsuQIQ5KlrR5SdB+xUfIAAAg\nAElEQVR5ErbatbOzapXCiRMwaJCNb7+1u+dYXffAhXz54MEHdfbt833+SpcWurInTtybCsjtrmFJ\nSUm5nsGUJImvvvqKkiVLUrBgQd544w1mz55N/fr1OXv2LGFhYZw/fx6ATZs2ERERQWhoKJ07dyY6\nOppXX331ts7xTnBfBcxbLcm6sjlPy6uc5OzuZsB0EX4cN9knLv1Zz4BtGBAfLzwg69Y1GDQoe+p6\nTIzILmXZ+zwHDNDYvFlovWaFEB9IYtEiM337KvTvr7Bypew2Z/aE65iusuyiRTJduojgOWmSwn//\nq/D99wp16+ruvunatTLPPmvi5ZfF6EdcnBAs0HXdvUno0EFj8+ZgPv/cRocOYqykRQvR81RVoStb\ntKhBwYIiI2nYUOfQIYkDB4TXYcOGTux2ca/Klzfo31+nTh2Dn35ycvBgGjt2pPDnnxLt2gWxZo2V\njAyJQ4dExjlsmO2e7eTvBp5/3oqiZJYeVVVIue3YYSI83KB0aZ2ZM0WpEGDPHhMNG/pqusqyjK5L\nxMcrVK+eEnC0JSEBzp/3tenyh507FRo3FjqsbduqTJyYfca+aZPZS+D84YedxMSY+OOP7AND1aoa\niYkS9ev7zv2NHClcW4KCxPHbt1fp2jWIBg00wsN1SpbUKV1aJz5eYd06G9Wr65QrZ7B9u4ny5XVi\nYhQGDLBx/LhMpUoazz1nI+t4oXABUhg+3BlQwEJRFBo3dnDkiEx0tI3nn0+hfn3/Wb7r+x0ZqbF9\nu++aI0kiy/ScDb3buNc6soUKFWLLli3cuHGDhIQEYmNj6dq1KwClS5cmOTmZkiVLAjBp0iQuXbpE\nSkoKJ06c4M0337xjO8bbwX0VMMFbvCBQYHOxPgNZXuV0/LsVMOPjJapWFS4DYlA72OchOXNGZE4l\nS8LHH6ucPi0xbVrgP6sImIbPeYaFwZNPanzxRebxXf3alJQUfv9dBOk6dWTCw6FxY51ly7w9Oz3R\noIHBpUuCsdmypYVvvxWiB0eOiB39wYMyL75o4ssvZQYNMrFggZOtW2WGDtUoW9Zg924heebK6lu3\nNnPkiMSXXyq8+67KQw/pxMUJw91du8TnvPCChs0msoLkZChb1iBPHkHg2bPHjKKIe1WsmMG5c8La\n7OpVcb7lyxtER6uMGOFAUUQmUbiwTqtWKpcuScyceWfztPcKSUnClUTTRGa+YYOJnj2dPPusyC6b\nN1d56KEQTpyQadVKZISB5i9lWeb4cQvh4VCyZODRll27NCIiVGQ5e5UiTRPSeY0bi88aO9bBDz+Y\n3CbmWeF0wvbtJvd5gnguo6OdfPdd9lnmkiVmypXT2bjR+3VnzoiNQ+HCQsg9LMxg6FAbnTqpSFKm\n8Hrr1kJCb+7cIPr3d5KQAIcPy7RvrzJ6tJV9+4QjyeDBKk6nUADyxIQJFkaNEsbmWeEpYBEaaiUs\nDIoWlRgyRPca/Hf1Q8W9EIL+kZGByT0NG2rs2nVvgsbtlmT/ybJ4cB8GTBf8BTbPoX/DMMibN2+u\n3ERyOu6twjXXGR9vUKeOOI9A5xAXJ1OvntjpW60we7bK+PEmDh3y//odOyQiI/1nBkOGaMyZo5CY\nmHkfXP3alStt9OyZWVrt21fn+++9v6ye1y7LkD+/yPiOHnWwbJnKO+9oWCzw+usqBw44SE2F0aNN\nPPigQb58Btu2yURHq7RpY2fNGmHB5hKpt1hELykiwqB0aXjiCUHc6dJFd5tTd+2qY7MZpKWJ+UpZ\nFgHy+nXJTRgyDEF6iouTadVKZ+5czxETJ/Pnm5k8OYkRIzI4dUpm/nwzffo4eeMN211TALqbeOkl\nkV3abNCrl5MlS8ycOCHTuLFKaqrwk6xQQeeZZxyYTKIisWeP7BMwXdi710SDBlq2oy3x8Vbq1nXm\n6Npy6JBMkSI6hQuL/xcpYvDCCw5eecV/j2vfPhNlyug+zNsBA5zMmmX2yeo88f33guyzeLH3xual\nl4QYvK6LZ/LPPyVq1dJ44QUHK1eauHFDplUrlTZtxOjJgQNmunYVri716mnExAgBgsREGDbMQevW\nKpomXEquXxef8csvMnFxCgMHZm/dBTBrlvlmr9nAZPJlPbsIhC5SUUREErGxMikpvr6WjRpp7Nr1\n99rIJSUl/WOdSuDfgOn+/92Ws7sdePZLU1N1Tp0yUbeu6BMGCsRCsCDz5w8+aPDOOyqPP27yIQtc\nuQKXLknUqOGbYQKULi0GwadNc7rvg/CHlFi8WKZHj8yI0aWLzr59kns8IytSUuDyZcFSdbmQpKXB\n6tXiOOHhwiezWzediAiDVq0stGzpRNcTaddOZdOmIPeYDogy4IULQv/V9flHjghyyIoVgvygKPDc\ncxphYTB5skKtWgapqeJzgoMNjh8X/U5dh5IlDfLlg+++k9ylx7p103A4YP9+E889l0FEhM7VqxIR\nEcLx5K23cldl+KugqvDjj4J9arGAzWbwwAM6cXEK8fFCXHzt2jT275d57DGxmP/+u0xoKBQv7n9T\nFxdnCtibdLFy4+PNNG5Mjq4t27YZNGzo7doyZIiTkydl1q/3zYxE/9I3KtaooVO8uOH3PSBUhP74\nQ2LoUCeJiZLbL/L6dbFhqFRJo1Ahg8OHFUwm6NfPyerVJiIiNI4dk2ncWKNhQ42jRxXat7ffLN0K\n67ASJXTS0yXq1BGVj3LlhPxks2YakyeL8vLEiRaee87hlqUMhGPHZN5808KMGenExAi3GH/3V5Iy\nSUUlSgRTpozOr7+afXwty5e3c+WK+F7fbdyJtdc/1QsT7sOAmbUk6yo7pqam5mroPzfHv50M06W9\nmp6eTkhICKdOhVGxouFWRwl03Pj4zAzThcce0ylb1mDSJO8FZudOmYYNda9xAdcxXdqzAwYk8s03\nIQQHZ96Hw4clMjK8A3NQkMjoFizwJkC4jrdmjUxkpMHVqxInT4rfr10rU7euQXg4fPCBQoECULAg\nTJpkR5J0tm41ceZMHiIjrVy7JnHmTObj+eWXCh076uzaJeNwiADRr5/Grl2ih3n4sPi79uuno+ui\n9DxzpkJsrIOiRXXy5NGJj5coW1YM8R89KrF1qwjER48KkoYsSzz8cDoLF9pIT09n+PAUihTReeMN\nG0884eCLLyw+koT/S7jmLhVFZPOrVpk4fVoiLMzg/HmZXr2cHDmiULWq7h5z8FeO9cTeveZsyTy6\nDnFxmQo/2bm27N5tpkGDDLdri91uBxy8+WY648ZZfZRqtmyx0KqV/xv81FMOZszwv2GZO9dE795O\nzGZvcYBXXxXZZfXqBsHB4vr793eyYYOJefPMVK+uUb++RlCQeJ4UBR54QJzUwoVmrFaD6dPtWCxQ\nq1amwEbLlirVqgk5xc2bFWJjs7f4AkFGe+opG2PHOnjoIZ1q1fz3JrMGKkmSaNJEZ88eX19LWTao\nW9fJtm3Ov43B+T/ZCxPuw4DpCU3T3GXHvHnz5mroPyfcasD07Jd62n8dOCAIP9kdV9MEMahOHe+f\nS5LoZ371leKWmgNXOTbTjgu8y9AArVsHU6CAEJ52YelSma5dNR/2Yd++Gj/84P8RWrRIplcvja5d\ndZYuFcdasEDmkUc0DhwQwgVffulg1SqJrVvt5MsHU6ao9OgRxKlT0K6dyrp1ojyVmioC5htvaFSq\nZBATI05kwACdOXMUOnbUWL5cnEdICHTuLIJm374aZcvCrFlpXLok9GjPnpUICdHRNFGea93a4Mcf\ng9xMx0cfheXLbUiShc6dNRwOcd+3bhXeiq+/rvwtDKMNQyjKKIpwbmnaVOXgQQVVlaheXVz/00+L\n3p8ruwSynb+8fh0uXZK95PKy4sgRIdpfqFDga5dlGUUxsWePmebNZR97rjZtUggO1vjuO93tdvHn\nnzrHjik0aOC/7tqjh5D4O3fO+yHUNG6WzcX7evZ0smiRUIKaP99MkSIGe/cq/PKLwssvZ9C7t5Pl\ny03s3auQlibRsqV4386dCmFhBqdOmfj0U+GUsmhROgcOyFitBpcuZT7nLVpoxMeb6NvXyahRVp57\nLrCBtAuTJ1sIDzfcgbV9e42ffsrdxlzMXGZaz3mWyhs3hp9/9m9/dieuOHeSYf7bw/wHwZPAoOt6\njmMit4pbGVfJyMjw6pd6iqTv2ydTu3b2TbOjRyWKFMHHeBkECeitt1SeeSZTc3LnTtmnf5mcnOxV\nhlYUmeHDvck/y5fLdO3qey5Nmxpcuya5+6Wua09OFoSaqCidHj00li6VSU6GjRtlOnbUGTzYxIQJ\ndmrVSsBmM5gxIy/9+hn07m3w2msqUVEWIiM1fvpJZBQ//CDz0EM6lSoZdOqUqUVbsaJB1aoG+fPj\n7mMmJsKOHUJ0fcEC8bM6dQwqVdJQVYPwcKEdW6qUTnKyGFr/8UfF3R8rX16wSrdvtxAaaqZXL5XK\nlXVMJpkKFTRmzAgiLc3/0PpfGUBnzDCRng5BQWJs5tgxmYwMGD48A0UxMJkgTx6D/ftlunbNDEK7\ndnk7lFy/Dt9/b2LECCvdu+dF06BFi2CiooIYO9bC2rXeQv979gQOuJ44dUrM34oRIW/XlpCQYCZM\ncDJpUhgOhxht2bBBp2FDB5DhZcDtuqfBwfDII77kn23bFAoXNqhaVTyf9erp2O0Szz4ryqWPPipG\nSMxmGDnSSb16OufPyzRtqrJ9u4mWLcW1zJljvulqY+Gddyy0bKlRsCBMny5cSbZsyZx5bNFCY8cO\nhfbtVU6dkomKyt6R49Ahma+/NvPJJ3b3prNtW5X1630Dpr9A1bixxp493vKVSUlw7pzQU9692xTQ\nFScrqShQvzk355Eb/Bsw/2Fw1f+Dg4Nv7oTvLsssNwEzq0elv36pa6Qku+PGx0s+5VhPDBigY7XC\nzJnyTccIUVZ1lV8BrFarTxk6OlqMZBw5IsQQLlzIzEw9IcvQu7fGvHne5756tQjM+fNDs2YGJ05I\nzJ4t07ixzsyZEuHhKl27JhEaGkKnTgZr1ij07SsWrkGDdLp315g710xsrInERPjsM4URI8TvRcDM\nXLyeflpj+3aZkydFP/W550x06iRGRs6dk/jtN3Hf+vZNp25dBydPKjz0kM7160I5aOFChdKlDbZs\nyXwOHn7YzoIFIlj37evk6lWZtDRRltY0+OijPH4No2/VaPdO8NZbVqxWg/LlNRITRSDr3l1lxAgn\ny5ebadRIY9YsC/37q+7e2tWrmYLr+/fL9O9vo0aNUFavNlGzpigT9uqVwWef2RkxQmRNU6ZYqFo1\nhPHjLSQk5H7+ctcuwY4NtOY2aqRTs6bGrFmCSLRjRwgtWzowmUy4LPI8+3UOh4PHHkvnu++8yT8u\nUpYLkiSyzMWLzZhMoqKgafDkk0736I3VahASYnDjhuiPpqTAqlUm+vXLICVFpkIFg6golT//lFi/\n3sSzzzqQZdGDBChUyKB8eZ0pUyzUq6fz7beBGbyqCsOH2xg3zkGJEpnPQvXquluYJCeEhxvkzWvw\nzjsWuncPolSpUCpVCqVt22AefTSIfftkH75CbqQU/W367rRy8m/A/IchODjYXfa8lxmBv2N7elS6\nZPX89UszMsSwdY0aOQVM2auvmBWyLMqc48eb2LBBIiLCQJIy3OVXSZLcKiWesFrhqac0vv5aYcUK\n0TsMtK/o21dn3jyx+3Wd45IlMj17ikAuPCZ1Zs5UaNjQwSefmPjgAzv58uXFbDZTsKBYxG7KRAIw\nfryQZStUyOCjj2SsVpHNAtSoYaBpIvgD/B977xkeVbm9/392mcmk0gTpHQHpSBUIvcSQhBpBsEYF\nEeyocFQsWFAEBQQBUUAp0ov03gkgHUSk9056puzyf/EwM5lkJgnIOd//73ju68oLyGTP3nv2POtZ\na93rvmNiDA4flsjMhMces7Bjh8QXX2j861/aneAmYbfbiYvLYO/eIKKiDPbvl3G5hI6s3S6MhH/9\n1bvoxcbaWbXKQnq66F0VKGDicMDrrwum6fjxVpzOwIbRuQmk57Ug5WfDtXy5QlKSRPHiJmXKmCQl\nSYSFmUydamfBAguFC5u0aqUxY4ZKQoJXQT4xUaFWLZ2nnrLxxBPBNGum8+efacyYYeeFF8TGoFMn\nF3XrGnTooPPuu05Wrcpk2bJMrl+XaNAglNWrcxdld2PbNtUzThII77/v5NtvrXcqEiqRkU5PaTx7\nv840TSpXtlOqlMbixRp2u52kJMF07dbNt39omiaaJrK4pUst2GxmFtKTCKB79yq0bCmY1EuXqjRu\nrPP118FUrCgE6yMjNX7+2ULnzhqFC0ObNpqP4tAjj4iRjtGjMz1m1/4waZKF8HCTp5/2PUdJ8p9l\nZs/sbt2CYcOsXLoksWaNyjPPuDhwII1Ll9I4diyd69fTePhhgwMH8l7KA1nLudeArJsUXdc9QhZ3\ns07+b6zkvwxu5qV7YbrfQdMfo9WfR2Vu/dLDhyUqVTJ9WHeBMkx/MmBZUbu2SffuBl9+qdCggT1H\nVhvo+hMSROa4aJEorQZCjRomhQp5+4qZmaIc+9hj3r/p0MHJ0aMS27bJDBqkUa2a99r37RMjH+fP\ne4+pqvDDDw5u3ZKYNEll0CBvpiJJ+JhNi1KbTrVqJn/9JeFySbRpYyE9XRA9Zs9WsNstFCsm07q1\nkMpTVTGG4b6/S5cqrFrlVUkqWtSkUSOd335TkSSRZRYrZrJ3r8IzzwgBhEmTcmYVWUuP/nb1mqb5\n7Orv1uvSjVdftREcbKLrEitXipL7qFEixZg0SWRgTqcoT1ao4JZVFC4bv/8uBAf270/npZdchIWJ\nY4ogotKgQc7y4kMPGYwd6+DHHzO5eVPi44+DPCMVgeAWLMgNNWoYtGypM3y4IOdUrux/NjTraEtC\ngs6sWWLUaMUKC/XqOQkPT/PZlMyebUWWhZKUaQpGtFtkYc4cC/HxGqdOeaX9Zs60ULWqTmKiSkJC\nBg6HKCX/+KOF558XG442bXTWrs3qwCNRoIBJ7domkZE6M2bkfB4uXZL48ksro0fb/Wba7dr5HjM7\nFixQadgwlKQkiQ8+cFCpkkGXLiKAu48ny2IeMzHx3iplWZWKsm5S3N/Pu62c/I/081+GrCzZ/wTu\nZVwleznWH5xOoe2a1+sMw+Ctt1I4dEimVCkCZrXZUbo0NGtmsHu3ECvPDb16iXlGSZJYt06hXj2T\nIkXIwkAWYtZ//GHh9de955ucDBs3yj59STcefNBk4MAMbt6EDh183z86Wvd5/fPPC19MSYI9exy8\n/76dr76S7ziqSMyfL3rUTz5psGaNQsOGovd5/brIpq9dk3n4YZ3ly7OWpR0eY+IePUSvav58laFD\nHQQHw+efB+VrLjPrrt6dhbpLuf68Lt3M7UAL0q5dMlevSlSpYqBpXtHw+HiNnTsVkpOFcMOyZRZe\nfFEs9mlpkJBgIzFRYdQoB0OGOAnKJrhz7JiYmSxSJPDzlJEh0aKFTrVqBi1ahAb0DL1yReL2bSlX\n8pAbQ4Y4mDZNpVkzLWD5NisE+UflyhUrixaF0Lu34bMp2bxZ4to1oQ+cmKhSvLhBjx5uZxERMPv0\nEeVZwxAl2wMHxLztuHHp6LqQ0Fu8WKFwYZP69cU1tG6tsWOHQmamMHnevl0lI0O4ugwY4OT77605\nWL9Dhwbx/PMuKlf2f09btRKf2R2tAsA9gy3xwgs2hg8PYs6cTL791kF0tBZQO7ZRo3sPmNnh3qQA\nPs9sXqSiK1eu4HA47mqspG/fvpQoUYKIiAgqVqzIp59+GvC1o0ePpkSJEhQoUICEhASP+tl/Gv+4\ngJkV99tZJOtx3bJ6aWlpdz2usm+f7PmiBjrXw4clKlQwCSTsn5VUFBpqIsuC/Qn5lwesUUOQR/Ka\nL4uPF8Qeu12Ut2JjdR/hg/XrwwkKEn6aWXWZly6ViYw06NbN4Lffcoog3L4tyrFvvOF731q2NDl8\nWPKo9Jw+LaEoULaswZIlLpo3T2XLFgcff6zjcgkz3+RkiQ4dhJ9nt25irjIkBOrUEff50CGZefMs\nnveOinKyfbtCUpLIUGrX1ilRwmTTJpUvv7STmgoLFtzbIpWb1yWQo5Sbtbf0zDM2goPhjz8UbDbx\n+bz1luixTZpkoUkTjYcfNkhJkWjXTufCBaGZarG4JQv9E1R27VL8ZpdZkZgoCEPDhzv46CMHcXHB\nfpVmtm8XxKD8jDFXrixIW5mZ+dvAusk/Eyda2LZNoXNnzWdT8tFHERQrZlK4sLjeW7ckYmMzyMjI\nYMsWJ4piYLG4CA012bVLYfZsC0WLCpWnRo1c7NxppXp1g2+/tfLcc94yasGCULOmIPuMH2+lVy8X\nLVuKMm3jxqJsn1Vjdt06hb17Fd58M/DCXrAg1KghjunGlSsScXEFUBTYsiXdU0GqWFGUmc+dy3mf\nGjcWEnn3cynLWhrOTtryRyoaOXIkZcuW5fDhwwwbNozp06fzxx9/+MzgZseQIUM4ffo0KSkprFix\ngrFjx7Jy5cocr1u1ahUjRoxg/fr1nD17llOnTjFs2LD7d7F3gX9cwLwfFl+5wV3mTUtLy9XVJDfs\n2ydRt272URHfcxXlWP/nnp1UdPJkGJUqmdy4kT/fSzdOnhQzfZs3537upUtDnTomq1YFsXKlQuvW\nyZ6MWlFC+O03meLFTU6f9n3vOXMUevY0aN/eIDFR8hHmttth7lwb8fE6q1bJJCZ6z8FmgzZthI6s\naQq1oMGDM7l2TWLp0qA7UoYWXnzRoEwZE6cTmjQpSGKiRO/eOmfPivcaNEhj3z6ZBx4wSUuT2LhR\n8ZQaw8OhRQuh/gIQH69htYry3VNPaYSFmbz9dv5cGfJCVoKGJEmeXb1b3N7dW9q2zcmFCzIFChgU\nKybYnooiBvEvX5ZYv17FNCVu3ZIYONDJ0aMy7duH0Levi6ee0qhe3Qi4wRIBM/dZwqyEnx49NCZP\nttOnj41Nm3yDpiD85B583XA6ITlZYvNmhdu38/cdeeYZofzTurXmI0V3/TocOCAIWooiepVlyhg8\n9FAQoaGhLFkSRs+eTrZsUWnZ0sGGDQqTJwti2TvvpKHrBtu3W2jTxsXRowrdu/vej/btdZYtU5k+\n3cLAgU7attVZt06U7d1WZCCy/rffDmLECHuem033MQD+/FMmKqoA0dEuJkyw+3xWkiTYsv42KGXK\nmCiKkAH8TyE7qWjkyJGcOHGCEiVKUKlSJZYvX050dDR9+/YNeIwaNWr4OJuoqkqxYsVyvG7atGk8\n//zzVK9enYIFC/LBBx8wderUf8dl5Yl/XMDMivsdMIVIuVj1Q0JC7mlcxekUQ/i1a+c8r6znumeP\nnKN/6ZbUS01N9cx0qqp6Z5zE5LPPdIYM8Y5Q5Hb9LhesXSu0XSdOzDuT6tVLZ/LkIEqX1qhUyerJ\nqNesEQvXmDEa+/Z5s8IbN2DnTonOnYWxdLNmhk8wX7RIpXZtF889Z1CwoMlrr6k+Ja/oaFHGnTfP\nJCNDZ8CAdJo2FVqidrv3nr/4opDze/BBgz59hCrOL78oDBigc/iwTKlSpie7cTjg00+trF1rZdMm\nlQ4dvMbEcXEuTp6U2bpVuUPEcHLjhvRvczLx11tKSCiMxSJKyCVLahgG9OiRSXCwnYkTFbp2dbJ5\ns8LFixLVqunExgbzyScOBg505SlYkJio0LBh4IDpcsG+fQoNGniP0aaNzvTpdp591saePd7Pbvt2\nhWbN8iYGAezerVClikFsrMakSfn7vtSoYWAYEhUr+j7/779vIyJCMFP79HFhswlhDABdl1i40MLj\njxvs2BHEY4+JysGNGzKjR6cTHKxz9CiEhBhkZoqeucXiyxpt1044onTooFG2rEm7dhpr1wrCW/fu\nGr//LnP6tMTkyRbKlTPp1Cnve9C2rchSjx+XiY0N5u23M3jjjUy/5elAYuuSJMqyu3bdn2fRfb13\nu3aFh4cjSRJvvvkms2fP5tSpU0ybNi3XvxkwYAChoaHUqFGD9957j/r16+d4zdGjR6lTp47n37Vr\n1+bq1avczmp39B/C/wLmfQiYbpWe9PR0j0D6vfZIjx6VKFRIZJBZ6fPZj7d3rzfDdJdfk5KSMAwj\nx0znjh0STZsaPPaYQdGiMH267DlmoOvftk0Qj156yWD9ejmgBJ67D9emzW327rXQrp3uk1F/841K\nmTIm7dubtG/v1X1dtEimY0dvxhMT4/0dwJQpKk89lUmjRiZ2u5DYmzLF+/uOHXXWrZN47z2V4cOd\nFCgQzvvviz5V1sA7aJCOpsHFizKTJrnYulVQ8AsXFmpAffvqhIV5iTE//WRlyhQbX30VzNChNlav\nVvjuOws2G0RGalSporN4sYXnn3dhtYqRgf8E1q5VuHxZ8iyOly6pyDIMHqyRkSEzbVoQUVFpJCdD\np04OnnoqmLFjM+jWTZQEs89fZsXNm6IXV7Vq4AX+8GExu1qwoO//N2+uM368nV69gjl+XCYpCU6f\nlj2l7rywfr1CmzYab77pZNq0kHxlmZcvi03YgQPeAGGasHChSliY0KK9dUu6w6ZWcDph40aFcuVM\nypc32bJFoUULnZQUCAuDmBghRZeYGEyzZhq//RZMyZIGiYmmz2hLxYp2bt2S6NFD3NNy5YSAw759\nMsHB8PjjGhMnWvnqKyuff+7IV0+2Xj2DS5dkoqODGTbMweOP2wOuHbmJrTdufP8C5r3C31riHrsK\nhPHjx5OWlsbatWt577332LVrV47XpKWl+fRF3Szc1EDU5H8j/nEB836WZN2m0tldTXJjn+aFffsk\nSpQweecdlapVrUycKKTgsp5rRgacOCHdGbHQPeXXsLAwwsLCfEhFpikECx59VGRaw4drfPZZTh3L\n7Fi+XIgMRERAz55iLCQ73H3azMxMihcXfTJF8d7fzEwRrD/8UCzEXbsanr7f3LkKPXp4F9XoaIPV\nq8W1Hj0qceaMRPv2DhRFjKVERhoMH65y+7YI0BZLEkWKmBQpItGpk5jda9RILEEoag8AACAASURB\nVIjffOM9V5tNjIaEhMCMGQrr1gkSxhtviNnDr79WSUryZiuaBjExDn77LZXz59No3Fhn5kwLtWuH\nUqGCMKyeN09FUYRc24ULEnv2/PtLYc8+K2p7FouYBwwPF5lWhQoSs2eHEhmpc+xYKC6XxOrVQYwd\nm0qbNhl3Kg7pJCbK1K+f6ZfhKPwv9YCjQyAy0EAZaqdOOh9+6CA+Pph16xTq1xci+/nB+vVCPKBC\nBZNOnexMmJD3Hy5cqBITo7F/v+wpQ86apeJ0io3RV1/ZWbJEpX59nYce0tmwQWHuXAvx8S6OHJEp\nVEhUEy5elNF1cbyNGxVWr7ZSoIBJqVIm3bpprF8f6jPaMn++lWLFDE6c0DwkrbZtnaxcKcgwzz4r\nvDu7d9eoWjV/G4YbNyRcLlGafeKJ3MvYtWqJMrw/hvL9JP7cq2gBeKcQ7gaSJNGqVSt69uzJrFmz\ncvw+LCyMlJQUz7/dVbz/CzbuPy5gZsW9Bkx/ptJZqdh/JxDv2yfTu7fBjh0u5sxx8dtvCnXrWu80\n9cUxDxyQqF7dRNdzSuplx5kz3FFcEf9u1MikXj2DiROVXM9zxQrvaMiLL+pMmeJVfMm+UYiIiOCv\nv6wEB5ts3eol6Hz2mUJQEJ7A2KmT6FUePw7790s+7NfixaFqVdEvnTZN5skndRTFK7S+d69MVJTO\np58KKUFFCePWLZny5X3P+5NPNHbtknyMtAcNcnL1qsy6dTIXLkjMmuUiORk2bxaKQC+95KJePe/o\nyptvhjNzppXhw63YbJCeLvHyy06WLFH54w+ZAwcULl2SGDhQsC1feSWPRtXfxIgRFlJSRFAvUkTM\nFB4/LjN0qAOXC8aNs/LKK6KHJknw3XcOoqNlTy/09OlQHnjApGhR/7OhO3fKNGqk57pQ5qXw07ev\nRnS0xgcf2PKlBARixvD4cdnz+kGD0vnhByGQkBvmzbPw+OMu4uM1j/LPqFFWHnhAZJfVqxvcuiXx\n3HMuevTQmDXLwooVKl27amzapFC+vE5kZAimKTZIEyZY+OorKzt2WDh6VOHZZ51ERYn+tZvwIssq\n330XwlNPaWzcGOIhabVr52DVKuUO0zkTlwvq13fmSwAgLQ3i44Np1UojP6RPVYUGDfyXZevUMfjr\nLzlPA/n84F4DpmEYf2v6wOVyEeqnyV6jRg3279/v+feBAwd48MEHKVSo0D2/173ifwHzLgNbVlPp\n0NDQgKbSfyfDdEviPfKIydKlLr74QqNvXxsjRoSg6ya7dhnUqmX3W37Njm3bZJo2NXzKQx9+qPP1\n1wqpqf6v/+RJSE31Eo9q1RKZ2/LlsqdPm32jsGyZTGysiz//lDl7VvS8Jk1SiI31Lp5hYdC6tZgJ\n7djRyEGI6NzZYPFihVmzFPr29e2V7dkjkZBwmxkzbCQnF+Dnn200aGCwc6fsM94RGys8MN991/uZ\ndO0qhBfq1DEZNkwhOtpC5comUVHGnRlQiXXrLFSvLt5T1+GDD0IIDhYD6xcuSCxbppKWxp35R5OZ\nM1XKljWpV0/nyBGZo0f/PV+l1FT47LMgZBkuX5axWARbMiQEoqJ05s9XqVBBXMe5cxJvvSVGENyQ\nJOEF+uijeg6Go5vNvWOHTO3aabkOq+emQevGxx87SEmR+Ouv/N2LzZtVmjTRPSMu5cppdOqk8f33\ngbPMM2ckTp+WaNlS57nnXPz8s4Vz54QLy82bMq+84mThQmGi3rmzRteuGitXqtSurXPxosRnnwVx\n9KhCerrEyJF2Bg92UqeOwciRDooUMTh0SKVbN41HHjG4cUO8Fwht5fBwYfG1fbuKwyEIL5GRCmfO\nqKSnhzF8eAHi4pwsXGgJqKLjhq5DQkIwDz9s8OWXgoBkGHkHqyZN/AfMoCChHrR37/9dWTY1NdVv\nwPOH69evM3v2bNLT09F1nVWrVjF37lzi4uJyvPapp55iypQp/PHHH9y+fZtPPvmEZ5999n6ffr7w\njwuY91qSdRNqspZfA9Xn73WX5XKJ2co6dXzPKTbWYPt2O9u3W3j8cYkdO6BRIzlH+dUfduyQadrU\n93g1api0a2cwYYL//tvKlSKgZT30889rTJhgevq02TcKK1bIdO6s0aWLk9mzFX79Vajp9OvnW5rq\n2tVgxQrFxyos63XOny9TpYpJlSpuxRYNXU+hSRMnp05F0L+/wccfW/j6a4XPPhOGwL//7nu/n3pK\nZ9o0hXffVdi2TWiatmjh5I8/JBYulOnQwWDyZI0jR2S+/FJjwQKVJk1cFC0qXD8Abt+WKFbM4NVX\nXbRurfPCCy7Wrcvg4YeF3dOIEUFcvy7x+uvCJeONN4JyXM/9QIcOYlfhDooTJ9qZPt1K164uNA1G\njAhiwAAncXHBBAXBkCE5iTvZ+5dZxzBk2cahQxaaNVM9rYTsw+qnT2s4HOIccoPDIUhru3crLF+e\n98K9YYPiET934803nUycaCFLBc4HCxcKv0qLBapVM6hY0aBfv2BCQgT5pV8/F3PmWKhXTycsTKhF\nWa1C1KJTpxDsdlFxURTo3VsjNlZj6VKVLVsUChY06NZNSAIqiuiTr1wpKiZjxlgZNMhJ4cJCGcrt\nNGKxiHnKMWOsnDql8PXXThITraSlheWQTszq2vLJJwopKfDtt5mULSt8Y/Oj1hOI+AP3r4/5n9CR\nlSSJ77//ntKlS1OkSBHef/99fv75Zxo2bMi5c+cIDw/nwoULAHTs2JG3336b1q1bU758eSpVqsRH\nH3101+d3P/CPC5iQ0+IrN2SdZ3RndHmZSt9rSfaPPyTKlDE96itZz6FQITszZ94kKEhi5cogatTI\n30fnJvxkx3vvaUyeHIQ/otnKlaJ/6X5vu91Omza3OHxY5fr1glizNaiuXxd9x2bNNOLjncyYIfPF\nFwoWiygBZ0XjxgY3b0KTJjnPqWpVMQLSsqW3nJWamorNZiM2VmbFCpXXXtNZvFjmoYcM6tY1iY01\nWLrU91706yf6cRs2yLz+ukq1asEEBZlcvizYuJcuiX5nWJjwN+zYUWfjRgu7dyvouiAYSRK8+aaN\ny5chJkbjt99UKlUyWbIkE5tNBIeWLUNo0ULDahWOGG6t0fuFqVNVjhxRCAuDM2dkBgxwcviwgq7D\n88+7mDNHpWhRg9dft5GWJvkVARc97MCEn4MHZSpUMChUSPZIJbpLue6y486dCg0aOMnIyF3mb88e\nhZo1DaZNy2TgQFueYw4bNnjFz92oXNmgbVudSZP8Z5kLFogM0I2EBBc7dig4nSaPPaYhy/DHHzLP\nPutk1iyVunWFUs7NmzK9e7sIDhazmbIM0dEhnDghExZmsnSpyoULCs884xVldZdl9+yRuXhRJi5O\nvG+nTponkIJgz06bZuXjjx0ULiwy2zlz1IDSiStW2JgzJ4iJE2/hdIp7GhnpYO1aKde5RRAl2UOH\nFL8chPvZx7wX3I0s3gMPPMDGjRu5ffs2SUlJ7Nq1i9jYWADKli1LamoqpUuX9rz+9ddf58qVKyQn\nJzNlypQ8yUT/LvwjA6YbeQW2rPOMoaGh+cro8nPcQMhu1ZW1V2oYQkh93DhRkhsyROWOfnpA3L4t\nynT+RlQqVoSoKBcTJvhmRhkZYtyjTRsDTdM8KkUPPBDO008bTJmS8wu5cqVMmzYGNptEgwYaSUkS\nyckSsbE5NWg3bZIpUUKMrGTHlSsiy05J0T2N/YiICIKCgjykIFUVu3/3xxATY3isvdyoVEkMep87\nJzF+vMa8eQ5+/118wc6dk9m8WWbXLokXXtCZPFmo37hLnbJsEhUllIkkCTp0CCUqSmPdOuEOYrNB\nbKxGrVo6V69KREcH06ePhmnCZ5/dvy/xjRvw2ms2SpY0MQwoXtzkrbecfPGFldBQkxo1DD76KIiD\nB4WubJkyBlFROQPmuXOCbV2xov/nMRCZJ+uc3d69Npo1w6/MX1Zx9C1bxKapUSODV15x0q+fLYf6\njRunTgn9X7fLSFYMHuxkwgRLjn7cyZMSly9LNG/uPaiqivujqqLP7Bbmnz7dyvffW7HbTUqUEDKT\nxYubKIpJiRIGM2Zk8s47Tj76yIqmiSy8dGmdGjW859O6tcbvvyt8/bWVl18WOsIgSE4rV6oeoYD0\ndPHToYO4/0884WLGDEsOIQFJkjhxQuWNN0L5+Wc7ZcsGe+5p69YaGzeqng2qP9EKEG2NatX8l17d\noyV/l/h/rxlmSkoKYdl3+/9l+F/AzEMkPTdCzd0eNy8ISy/xd9l7paGhoUiSxIEDEg0bmlSpYtK9\nuyVXtmtiohBnD3Tqgwc7mDLFVxd00yZhK6Yo6Z7szj1T+fzzOr/8knN3mzUjlSSw2YRAenR0zsVw\nwQKFuDidBQtyPnqzZklERgrWofuL596glCwpVGGGD1eoU8fkyBGZI0ckGjQwSU6WOH7c9wves6fQ\njX3hBZVRoyw0auSib1+dK1fEpqB7dwvNmumsXy/jcKQTH59JixYOkpLEiIUsC+m08+clPv7YSu3a\nusfRpFs3F4YhUamSwZ9/Khw9KmG1wvLlFi5duj+M2TZtRC/IajXJyID58zP44QcLBQuaREVpdOkS\nzNWrEkWLGoSFmSQny0RG5oxOebmG5Meua+dOkaFml/nLLo6+bZtM/foiY3rhhVQkyeSbb1S/3wU3\nO9bfeVWtatC8uc6PP/o+uAsXWujSRfPZhI0eHYQkieeucWODUaOEjmy7dho2m1j4R4xwEBOjMW2a\nhYgI7vhg6kRHa2zdmkGtWkL5qVMnX8uPsDCoV0987n37ekvdVaqIzevhwzKZmTBmTBDVqxueMu2j\nj+pkZEg5SqyZmfD00zbef9/pmaF239NWrST27bOQmSmEK7KLVmTdmDRq5GLHjpzfnxIlTCIiTE6c\n+HvP4L3yL/7bnUrgHxowA5Vks5ZfgTwJNbkd/14zzHr19ByjKm4FGNM02bNHWHpNmKBRuLBJ//5q\nwB3lzp0Sjz4auMRToQJERzv59lvxRTdNk2XLTCIjM4CcIvEVKghvyfnzvY+NyyV8Ljt0MO4EdBm7\nXeLWLVFazYrkZFEifvttna1bZQ8b0s26nTFD4uWXXWRmKpw8mbMkFxMjxlveeUfjtdd0Pv1UQZbF\n/7vLsnY7rFkjceGCxObNMidPSsybp7B0qY1fflFwOCA8XHh2Nm4cRJEiOtOmFeDdd3X27rVSt66L\nxEQrVapoyLIQcJ82zUKlSi4WLxZM5datdS5elLl2TWLChEy2bRPzf5IkGKt/F0OHBnHmjMQLLzg5\nc0amf38XDz4I33xjJT1dYvFilcREhRIlDEqVMunb10WJEgYPPpjzQdi2LbAIumnmTeZJTYUTJ/zP\nVWYVR5ekIPbvt9KypShBWq0KY8akMHZsEDt3OnJkTBs2KLRt682Is39fBg92MnaslYwM7/8tXCiY\nrm4kJwtln4IFRZa5apXC/v0KTzzhZN8+hSJFTNLTJTp21OjSxcWlSxJ16mj06uXyBF2rFY8M5aRJ\nITlKmpIEJUv6tkkkCTp21Fi+XOX776088ojO44+7PFrEwvbOxezZvgF/6NAgqlUzPCbSWREeDrVr\n6yQmWgMKoquq2Hw0aGBn61b8CqI3bnx/yrL3kmH+tzuVwD80YLqRNbC5y4+5eVTey3HzC01z68MG\nHlUBr6WXosAPP2j89ZfEiBH+vyDbt8t++5dZ8frrmUyerHD9uk5KSiqrVyt07qwEvP4XXxRlTDd2\n7JCoWNGkeHHx7++/D6ZdOzG/mZjo+/crVsi0aGFQsiS0aiWCnPu+HzhgkJSk0KGDhdhYg8WL5Rz3\nsUABk/R0aNXK5MUXRdA9dkwiNlZn1iyZF19UKV/eyuefqxQvblKwoMiuixeHyZNvk57upGRJk7Jl\ndf71r1RU1eTGDYVvvrESFxdK/foGwcEykgRXrsioqihnBgeb/PKLjeXLLSQnp2MYmXTo4KBKFZ0L\nF2T+9S8n16+LEZWpUy1++8L5RWKihfHjg6hbV2fOHAvh4fDFFw7eeENkUpcuSdSsKRxXXn3VRVKS\nRHg4tGzpP+jl5hri7jGWKxf4Wd29W6F2bT2HWHt27N8vU7GiQaFC3lJulSpigP/NNwsD3owpJSWD\nzZsVmjRJz+F+4X7Oa9Y0aNhQ93hNnjghMv+s5eNvvhGbE9MUykZPPy0IUqoqTLWbNhVZZHCwyKQl\nCXbuVOnVy7d0PXeuhbJlTZo3d/Lkk2H8/rt4bm/dgv37FS5fln0E0kH0KRcvVhkzxsKwYQ4ee0wE\nUHcL8vHHXcybp3rERxYuVNmwQeXbb/07lwC0bq2zaZM1R7DKruXaqJHKjh1BDB1aiLZtC1G9eiGK\nFy9AmTJhbN4ss3q1lC8ruUD4O6Sf/2anEvhfwPQpv9pstny7eeSFu3lQdV1nz54MSpbUefDBnAzU\nrOe7Z49X4SckBObOdfHDD0qOPp7LJdSAspNush+vdGmN6Ggno0cbnD0bhK7L1KkTeIfaqZPBhQsS\nBw+KL9SqVd5y7LVrMqtWWdB1aN/eYOZM33NaskQmLk68tls3nblzTc99X7w4gt69BTM3Lk7PcT0g\ntGcfeEBk4qGh8PLLOu+8ozBypMrRo0LwYd8+J+vXu3jrLR1dF+SiefMcvPNOAXbs0HnmmQz27lUZ\nMEBl0CCDFi0MKlUSOrfXrkkkJgqyUpEiBg4HaJpEuXLinFNTJfbvF+X5uDgHKSmwYIHMgAG3qVdP\nIz0dIiIMpk27t15mair06lWIoCCoWlXn9m2Jb7+106uXjcWLVVq10mnYUGf7doXx4zMZNcrKmDF2\ntm7NyTYFYRh97Zrs05fLCm+pNfA5uQXX88K2bapfObxevTRKljT59tsQT8Z0/HgEpUublCwpe6o6\nGXdSSbf7hWEYDB7s4NtvrdjtohwbF+dbjv3hBythYSalSxucPasAgm26caPK9OmZLFhgoWdPrx1b\niRImpunbN9U0QRIaNMjBvn0WRo/OoHfvYM6ckZgyxUpMjEbdunoOCcSmTXVOnJBp1067w+oWJLJ9\n+8RzW7my8CrdsEFIFb75ZhBTpmSSWwLWpo3G5s2BdyZnz0q89VYQkZGiXB8WBt9842D79gzOnUvj\nwIF0Pv7YztGjag4rOX+jLfcbd+NU8v8q/pEB0525OJ1OzwOUl0fl3R4/P8gqAHDoUBANGki59kpv\n3JBJSRGSdW6ULAkzZ7p4+WWV06e9rz14UKJcOTOHlFlWuOfuBg1KZ9q0UFauDLlTWg38N6oqzKUn\nTRILyIoVQuLO4YBPPrHy8MMay5bJVK0qtF6vXRN/l5kpiD6PPabjdDpp3jyJHTtUDKMAqhrEr78q\nPPGE+CyaNzc5e1biwgXv4/n77xLnzwvx9KVLZa5fFyM4a9bItG2rEx9vUKKESYkS4vWffKLwyCOi\n11m7tsGYMUnExASzeLENTYPvvrPy3ns6ly5JNGum8/DDOsWKmZQrZ2C1mpw6pRIUBIpicvKkGGbX\ndaG4o6oqHTrIXLqkcv68yrVrISxZkoqiiMx0wgSVlJSMu1qkDAMiI0NwOCQGDHAwb56VwoVN3nzT\nxr59Cl984eDaNYnduxUef9zFpk1C7aZ2bYPdu/1rt27fLsTSAyn45CaXl/U1uWnQurF1q/9zkCQY\nM8bOpEkWDh0Sn+f69Spt2ug+7hchISGA6FnrumhLVKmSSq1aLqZMkViwQKFLF28pc+9emeRkqFTJ\nIClJYvBgB3a7REoK/PKL8O08d07Ma06fLqQNixUTI0FZRQJmzxbi6S++qFGwoBCGeOMNJ716BTNx\nooVBg5zExmosWeL7vbx0SdiAVanilVWsXNlg0SLvZvvxx8WIS//+NgYMcOXpXVu3rs6lSwpXr/p+\nAZOSRDk3MjKUiAiTbdvS6d7dRblyJg0bilJ8cLDQze3Rw+DyZQW73ddKDnKOtgTytvxPjJX8v4p/\nZMB0e1Rqd+olf6f86g/5KclmFwA4fDjIhyHrDwcOWHjkEd/5SBCjG2+/rdOnjwXHHd6Cv/lLN9w+\nlXa7HVmWqV07lMceM5g2Tc7hPekPzz6rM3++zJEjQtdz+nSF8uWtzJwpvpgWC5w/Lxit1apZeeEF\nlR9/lKlb18BmE0Sm4sVDaNvW5LffVDZtknjwQZPq1cX5qqogDC1fHuy5j2PHKrz0kk6XLgYzZsg0\nbGileHGTQYNEWbRbN4OFC0Vk2LNHYsYMhR9+0ChWzGDNGjtt2jiYOtXJ+fMKISEmn3yi0KyZhago\ngxUrVM6elenb10n37hp2uyD91KqlExoqsvUpU6w89ZSDmzclunWzERQkxgseeshg6VIrERHCwULE\nRok1a0I9Jci8FinThGeftXHypExMjJ1x44S3Yp06BgMGOKhQwaBjR42tWxWKFjWJixOs3Q8+cLBr\nl0K1agb+Nvbbtik+jNLs2LEj9/6lyyVGRfIiBem6cDIJVPotWdLko4+cDBokNisbNgj92KxwL9BW\nqxWbzeYhur3zjoNRo4K5fl2iVq0Uz318911B7jlyRKFWLZ0GDXRMEypVEmbR8+ZZ6NpVQ9fh66+t\nOJ1w8qRCzZq6x4EG4PvvrdSsKTaJcXF2Fiyw0q+fi4gIYYlXrZpBdLQYL3FlaT1+9lkQ0dEamzcr\nJCfDM8/YOH5cZvFiL6ege3dRts3MhNdfz1vKR1WhWTMHmzZ5z2/tWoWmTUNJS4Ndu9L54AMnpUub\nAZ1LVBXq19fZvVv8LtBoS27elm7HpbvF/3qY/6UwDAObzfZvo0DnFjCzC7W7y69ipCT3YLV/v5X6\n9f0vSgMH6pQpY/Lee+KL4m/+0k1Zd/tUhoWFeRaqV1/VOXVKomHDvANmiRJCsWf4cBWHA4oWNfno\nI40mTQyaN3fxzDM6kydrTJyoUbu2SdWqBv/6l0pKik5SksVDZOrRw2DuXKHs07u37/t266azbJko\nT128KEq/Tz4pZjAvX5b4/HONL7/Uef11nTlzRDDet0/i0iXo109lxAgXNlsqMTEZLF8uPue4ONi1\ny0nFiqIUV66cIDDdvi00PV97zcbs2RZCQwWJZNcuBadTYvRo0cCaPj0IiwXWrlXp3dtGXJxGWprE\n0qVio/CvfwlfyqtXZSZOtOXTgNfBa6+pLFqkUqKEwdKlNgxDolQpk9Gj7Xz/vegDxsQE3yEV2Xn1\nVRuTJ9spUECIivsrx4LbNUS789mLUY5581Q+/dTKyy8HceKEzMyZFr7+2sr69QopKZJPZnHokEzZ\nsgZ5KZAdPChTooTBAw8EXmSffNJFWJjJN99YOHQoZ3D1l9VIkkTDhhIFCsBDD5mEh4v76HQqJCaq\nlCwpPDdHj77NoEFWFEVs4M6ehTlzVOLjXUyfbqFiRREQmzXzqgOJ50ri2DGZrl1FJOza1c6iRRac\nTvE8WK0wY4YwD6hUyfCwpI8ckVmzRuHLL+38/rtCy5ahFC5ssn17Bpomjglw7ZoQgO/eXQuY5We/\nBy1bOlm3TujiDh4cxKuv2pgwwc6YMQ4fUlfTpnpAQ2m3P6Y/5OZt6c7udV1UgbKXcvMKov/rYf6X\nwmaz+ZRf77cnpr+AGUioHcRO/vDhnB6Y2bF/vxowYEoSTJigsXChwvr10p0MM2uvxjtTGRERkcN6\n7NIleOABmDUrfwy7fv101q6V+eYbjWHDdObNU3jxRRdr1lg9Pc2oKIMTJyTatk0mJMSkXj2JFi0i\nWLdO9vx+1y6JxYtlevTwva7WrU2OH1e5dAkmTlTo3l3n+edV9u6V6dvX8BjpFi8O3bsL9mz79gZv\nvKFQqpROhw63UBSFPn2sLFli8ZAvypeH7duF00hqqsiOJEkQe5KTJYoUMZg6NZVHHxWLaFqacDDp\n0UMjJMQ9qwnLlql8/rmFc+dkjh2TuXJFwmaD7t1dGIYIIu5+VqBFSpKCeOWVMH7+2YYkwfXrMmFh\nBo88ojFwoJ2EBBtvvOFk2LAgbtyQadFCKMo8/7zLE3A2bBC9zexISoJTp2QiIkw+/thK/fqhREWF\nsHChKEEqiighlisndFe/+spKvXpFiI8PZd48kU3lp2QLeWey4h7At9/aGTXKSs2aep4+kVlhGHDs\nmIzDIe7jpElCB/baNYUBA5z88UcIx4+rtGjhJD4+k48/FqNP1avbGT3aQpMmOhYL9O7tIjZWY/du\nhQsXJKZPtxASYnruX9myOpUrG4wcaSE0FH79NZP33w/i9GmJ7t1dHqu3Dz8M4q23BBPX5YJmzTRG\nj3YQHAxxcRqLFomA16+fjSeecLFhQ/45ESJgKkRHB3P+vMT27el+P98KFUQ/9syZwIbS+UXWcSGb\nzYYsy9hsNg87399oiz/5xJSUlHz1MJ1OJwkJCZQvX56IiAjq1avn1zgaYOrUqSiKQnh4uOdn8+bN\n+b62+41/ZMB0Q5Kkv+1Ykhvcxw2kv+rG0aMSZcvmVPjxPRbs32/JtQ9SuDBMnOgiIcGCyyXGQLKT\nmrISirJe+5o1MvHxOmPHKnkKIgA0aSIYq4ULmxw9KuYgGzXSOXVKoWlT846sXToxMRmMGxdBuXIw\nYYLB9OkuXnzRwujRCiEh8PDDJsWLm5Qs6Xt8qxXatXMyf77ClCkK27fLlCoFS5a4eOIJnUWLvI/u\nq6/q/PCD6NctW6bwyScpRESEExISQsWKIpPcutU77mGxCN3a48dlDh92cfOmnfnzMylf3uDAAYWu\nXSNIT8ej+HPokMKSJSpOp4SqioWqUCGTQ4fEvSpa1OC338Si+PTTIrBmZkq5jpicOiXTsGEEc+YE\noesQEmJSubJBfHwmf/6pcOqUSYECGhs3wrVr3MnkDaxWMXIBQpjizz9lj6lzVsyYYcFmM4mKEn3R\nKVMyOXYsnRkz7Awd6iQiArp10xg40MWnnzpYsSKTgwev07Onkx9/tNCgQShz5ljyJaS+ZYuaZ8AE\nUS6tXt3k5k0p38P1J04Ixusjj3jJVGPHWrFYRCDt399J//4h2GwQH2/wU0u3TwAAIABJREFUyism\nS5cGExPjZO5cK5UqaRw7ZpCaCq1bp2G1uujWzcnUqRZ++smC0ylRq5ZX1erxx11MmSLE7GvUMHjj\nDScDBtiIidFYtky4mhw7JlxOXnnFxuDBDq5c8T6LXbq4WLRIZcQIK6VKmXz6qYPt2xW/DiP+kJkp\nDMBr1TKYOdPut9QOeDLm7dv9Cxi4g/m9Iq/RFqfT6ZFP/PXXX5kwYQIOh8PHEDoQNE2jbNmybN68\nmZSUFIYPH058fDxnz571+/pmzZqRmprq+YmMjLz3C/ub+EcGzPtp8RXo+G5h67S0NE/5NSwszC/7\nNau3ZSCcO4dHpSQ3tG0rVGCCgsDp9J0pzU5qynrtq1fL9Olj8OijBj/+mPfudOdOidKlTX79VeGH\nH2SeeUZn0yaVyEgnpinUiUzTJCFBYelSC507i/OOjDTZtEnI5w0erOBymQFJRjExdiZPFuIMcXEG\n48YJDdFmzUwuXJA4c0a8rnJlg0aNXEyfLhaSMmVCfZjOvXrpLFgQ7PM5v/++EDE4dszdO9JZvDiT\nggVNWrd2cvCgyEpNU/w4HCIbdbnEYm8YEBYmSrcnTsj8619BbN0q07y5zh3+CgsWqDkWyqQk6NPH\nRv36oR5/y0KFRNm6QQODQoWEoPvy5cFYrQopKSoXL8oULmxw9KjM+PE3cDrFLn/jRonGjX1HPs6f\nl0hIsPHJJ0HUr69z+HA6n37qoH59XzKXv3GTkBDo2dPF8uWZfPednUOHZMaNs3pKjP6g64Jtm1/D\naLdP5cKF+cu6Fi0S7NihQx2MGmVl0ybZ45kZHa0xalQQBQqIz7VVK9GWEBm0zJgxobzzjs62bUF0\n7KgRGqqg6zp9+qQxebKFkBCdRo1cgJeYVaGCzs2bkmdGdMAAFy6XxJo1Kg89ZPDGG0FUqybGXVav\nzuDll10kJnoDYsOGBtevS0yZYmHMGDsREUJEYdGivJnT27fL9OxZiMhInQoVcnIVsuPRR/0HzAIF\nuLP5u7flPVB53F+VxN3aOnToEHv27KFixYo0adKEV199ldWrV/s9fkhICMOGDaNs2bIAREdHU6FC\nBfbu3RvwfP7/gn9kwMyKf0fAzKqDKsuyp/waiHn2++9ehZ9A2LNHpn79nIw2fyhTxiA93WTxYiNf\nM6XnzomFrG5dk3fe0Rk92r9WZVasWiUTHy/k6mbOVHj2Wf2ORJ7do04UFhZG/fpCAq1sWe95lykD\na9e62L5d5uBBUc68eDHne9SooXHypESnTgbDhnnHH1RVZIiLFikeAlezZk7+/NNCu3YGy5b5LiI9\nexqsWWPzGYKvXl0waocPF8dwuVwUKOCkWDGTbdssdO3qoF07lycYBQeb9O8vhLllGZKTJdLSvJlS\nZiY89lgI1aqFUq6cGDHQdRg50sqtW8IoOSoqmPLlw9iwQTBwVVXItdWubVC6tMmoUXZ++imEffsU\nypc3SE2VOH5cRtclkpJk5s93UKyYV1ln/XqZRx/NuLPTtzNunEyLFiFUqGDcWdxd+DOPSE+Ho0dl\nGjQIHOSKFTMpWVJ4PEZFBTNhQk6pNxD9vAce8C+akB1nzkikpsKECXaGDAnK08YLYNEilbg4jXr1\nDOrX1xkwQJSvixY1adpUZ8EClWvXJIoVMyld2mTHDoXixQ1mzrRQtKgoOaemSrz0kguLxYLNZqNB\nAyuGAeHhEk2aaJ6SI8BPP6lUrSqY2KYp5p3HjbMzfLiVUqV0zp0TriirV2dQvrx5x4FHZJ/AnVEk\nMRfrvic9e2rMm5f7BmH1aoWnngrlu+9SeOEFF+vX572hePRRnW3b/L8uN5H2+wV3KTc6Oprx48dT\noUIFrly5wpdffkmZMmW46O9L7QdXr17l+PHj1KhRw+977Nu3j6JFi1K1alWGDx+OHkhv8T+A/wXM\n+xww3Qu4aZoeWndeFG2RYeaeOe7ZI1G/fs6+QVa4HVUSE2HoUDtDhhQgLS3wF8997WvXyrRtK3a0\n9eqJBXz69NwfjdWrZWJiDOrUEa7zhQvbWb9eoXVrh4+Ty5EjEmFhwmYsKwoWhL59haNE2bIm8+b5\nfrmTkqBnz4JYLDkVgwC6dNGZP98kLS2NoKBg5swJoWxZk4ceMpk71/dYDz4I9eo5WbbM9xyee05j\n+XJBnNiwIZhHHy1I+fIaBQuafPNNCmPHphMUZBIV5SIzU+L7761UqaITFiaymGLFxBiCG4oiZPcO\nH5ZJTRWf+bhxVqpWDaN792D+/FMmJEQEX4vFJDzcpEABkwoVDH780c7EiRaSk2VKlRKZ6969Cmlp\nYsMxZ04GpUqZPqzHLVtsdOokc+VKCHFxBVm61MLixTdJSLjNX39J1KyZ4bfXtGePQo0ahicT9gd3\nBpqQ4GLDhgxmzrTw7LO2HPquW7fm3b90wy223rSp0L39+GNvauwvqzl5UuLKFcmTCb/2mpPz54VA\nhMMBs2ZZ6N3bRVgYtG8vMsK5c1WefFIjI0P83cyZYnPSuLH3GTp7VghSnDmj0Lw5BAcHExwczJkz\nClu3WnnttQxmzLB4iFnly2fwxBMOFi8WVYc5czIoXNh7nl27ap7+5vDhQdSta3D4sOzZYLRrp3Hk\niJjH9IeVKxX697cxY0YarVq5aNFCIzFRySGWkB3Vqxvcvi35lWNs0sQ/izY/uJexEq/WbRiRkZG8\n9dZb+bLgcrlc9OnTh2eeeYaHHnoox+8jIyM5cuQI169fZ/78+cyaNYuvvvrqrs7tfuIfGTD/HSVZ\n96hGeno6wcHBd0xn8769DodwKclu6ZUdIsMM7MjuFmlPTjY5e1alXz+FqCiDIUPy3qmuWSPTrp13\nQXn3XZ2RI9WAPZALFwQbsUEDk6Qkk5s3TTZvFs4fDz7oayK7ZIlM166i55i9N7pkicKIEUKsfdw4\n771yOCA+3oIkQXy8K0cwdTqd1Kt3m7/+UkhPL8C8eWLMY9gwnd27ZXbulLh50/e9unWzM3u2VwJQ\n13VeecWB3Q7PPRfMa6/ZmDw5g2nTblOzps6CBRGUKCFcUfr0sWOxiAB54IDwUjRNMRdrt0tUruz1\n0XQv5lnhcIgSrtsy7IUXnBiGhMMBffq4GD3awerVCh9+GISimJw/L7Nrl0JoqGBnlitn0qaN76bh\n9Glhkn3okEK7dmF07aqzYoWDOnVsHDwYQf36olSb3arL6XSydavsYc8GwrZt3jJr+fIma9ZkEBwM\nnTuHcP269/PdvFmhRYv8Bcx167zjJMOGOfjtN5XduwN/RxYvFlZe7i7GnDkiKBUubFKtmkFEhMmN\nGzKhoSaRkUIPdtEileLFhZH0mjUq8+cLzeCs6//06RZ69tRIThYCFSDWgYkTQ3nuORc9e0qcPKly\n+XI4QUFCzGPDBjEuUr26izVrDB/2aMeOGrt2KaxeLTN3rsqPP9rRNIn9+8W1BQVB584uFizI+V1c\nuVLh5ZdtzJmTScOG4j4WKAA1a+ps25Z7wJNlQTjaujXn69xjJ3e7tP2dtdDdisovDMPgySefxGaz\nMW7cOL+vqVChAuXKlQOgZs2afPDBB8ybN++ez/Hv4h8ZMLPi7wbM7KMa7vKr21swLxw6JFG5spnr\nbl/TvMbS2Y9pGAapqameMuiRI2HUq2ditcJnn2msXi2zZYv/h1i4TsDGjb4Bs0kTk0qVTGbN8v94\nrF0r07q1wcGDmVy5Imy5pk4Np2PHnNe7dKlMr16iN5pVcP3SJThwQCI+3mDFCicXL0pMnSp25S+9\npBISYnL9uswHHzg4eFDiyhXfay1UKJTOnU3mzLHw4YcqX3yh0a2bwZkzYjRm8WLfc4+KcrB1q8z1\n6yJYGoaBoshERMDq1SqrV9/mkUdEr/m99wy+/tqKaVp47DGDHTuCadlSx+mU+PrrDB5+WLtz70V5\n88QJxbMgZ2RIBAWJXqqqimxSVeHZZ120bSvGUD77LIiMDEE++vZbKw88EEbv3sHoOlStqqHr4nl4\n8kkXUVEacXGuHH3eVatUQkNh1CgrS5dm8vLLLk/Pa+tWlebNDb+zd4ZhsHWrzCOPpOfQd82KrCMp\nIFxaxo+307GjRvv2IZw6JXqR27er+QqYmiYMo9u0Ea8tVAiGD3fw6qu2gBuzRYtUunTx3utp01RU\nVYx8HDwo8+mnDpYtEz3eFi101qxRqVbN4JdfLHzwgQPDgOPHZRISvDOQTidMm2ahaVOd4sVNfv5Z\nELOuX5dYvDiYfv2Ev2mvXhozZ1owTYUXXojgr79Uhg1zcPOmyrx5wT4ztpBOZKSD/v2DGTkykyJF\nDHr2dHkCPLjLsr59zA0bFAYMsPHrr5k0aGD4ZHZt2+qsW5f3Zrd5c/+BtXRpIWZwr0Ls90PAJTcI\nfkOCJ3P0x+3I7W//r/C/gPk3Aqa7/OpvVCO/x/3997wJP8eOCdm3QoW8D0vWQK0oiqcMmnWcJCIC\nRo7UGDhQzZH1uLF/v5UyZbxasG4MGaIxYoTi155p5Upo0SKNn38O4qmnDAYONFm3TqZTJ91zbiB6\no+fPSzz6qMnTTxtMn+79Usyfr9C5s4HNBpUrQ9euOm++qTJ0qMKxY+KexMY6KVFCjJ/MmWPkuNYe\nPQy+/16hYUODpk2Fbmy/fjqaJuXISsPCTDp10pg9W3w+GRky3bsHUb26i/R0CA0V5SRVVWnUyKBq\nVZNfflHo1ElnxQqFHj10HnrIZMyYYFaudDF4sJPKlQ0Pk9b9UTud4qdECQNdB7tdbEpWrlTYtk0l\nPNykYkWD48fTmD07k5o1dUJDTWw2YXZ85IiFSpUMli3L4KOPnCxfrhIb65sNnjgh8cknQRQrZrBx\nYwY1a/oGuy1bFB/nkqyEDUmyceCAhVatVB9HjIyMDAzDwOl0cvKkht0OFSv6HleSYMgQJ4MGOenc\nOYQVKxSKFctf//L332XKlPF9bc+eGkWLmowfn5MQc/q0xMWL3nLsr7+KmdjgYFH6Ll/e5Nw5mfLl\ndSpWFKXxOXNUGjbUuXRJpksXjcaNdQwD2rf33oulS0VQvXBBpmNHjVmzLKSmwvffW4iNtVOsmDi/\nvn2FRddLL9k4ckShc2eN115zUaWKwZYtFlJSfDcjLpfY7LVrJ6pMMTGpzJunYLcLmb/mzTUuXZL4\n6y/x/O3cKZOQYOOXX+w0aJCz5dCunca6dXkHkebNdbZsCdzHDNTjDIR7VflxOp135ej00ksvcezY\nMZYsWUJQLkLFK1as4OrVqwAcO3aM4cOH06VLl7s+v/uFf2TA/LslWXf5NS0tLceoxt0ed/t2Gbtd\neEEGgnAoMT3HzG2mUgiue9+3SxehlTpqlP8v38aNQbRrlzMqtmhh8uCDMHeu9xHRdZ3bt1PZuFGh\nXTuVefNsPP20ySOPGHe8In2/aMuWCZ1ZVRVB788/Jc+Od84cmccf977v668bKIrJ2LEK06a5mD5d\n4bnn7Oi6TnR0GgsWiFmsrNdar57B+fMwYID3OAkJOvv3C81dtyyf+3Po2TONX35RSEvT6N7dSokS\nTubNu31HkzPc57kYOtTFl19aqFrVJDNTKL4cPSrTrp3OgAFWevc2SEuTGD/emWOw32IxycgQDFhJ\nEh6bly7JKIrJqVOiB9emTSgdOoSwfr1KcrKE3S6y0Z9/vsXmzenUrWvw55+iF5pV0OK331Tatw9B\n02D6dHuOUaSkJJFVBSL07NsnU6WKQYECvmMDbvs4WZbZulWladPAhtEJCS7efttJ//42atfOnzbp\nunXe7NINSYJRo+yMHm3l7Fnfct6iRRZiYjSPB+V779kIDjYpVszwKElNnapSurRJixY6KSniPY4e\nlRk0SHhX7t0rdIGzkl9++MFCQoKLnTsVOnTQadlS46efLPz0k5X+/b09g2rVxIZn717Byv3wQweS\nBF99JbxSf/5ZvXMNElu3Wjh4UPz76lWhUFSzpjAA2LRJJjMzE7s9ndhYO7/+KrF/v8kTTwQzaZLd\nh6mcNVjVqyfYtufP5x68atY0uHlT+IRmR6Cxk38H7ka04OzZs0yaNIkDBw5QvHhxz3zlrFmzOHfu\nHOHh4Vy4cAGA9evXU6dOHcLCwoiOjqZ79+4MHTr033kpueIfGTAhsMVXbshefi1YsGBA/dn8Hnfv\nXokbN6BuXStduqhs3ZpzRm3XLpmGDcVi5XK5/M5Ugih77d4t0aSJdxGTJBg9WmPsWIVTp3K+/6ZN\nVtq29a8B6s0yxXULV5EgypaFw4etPPSQEJ3esEGmRg3Toy/rvu6lSxViYsS5WK3Qu7fO9Okyp04J\n4kWrVt4LLVrUJC1NolYtk8GDVUqUMKlZU6iNtG8Pf/5p4epV393ymDEKVaqYHncJEHqa3bqJvt+8\nebJHLzcsLIw2bWRu3JDo3t1GkSIuRo5MxmpViItzMn26imF4z6dxY4MaNUx++EElKkq/o8tq0KyZ\nwZkzMt9+q3L7tsTnn1v48ksnO3dmehZ3p1MiKUlojYof8Xykp4s5ztOnZS5ckDwl1IgIkyZNdI4c\nyaB1a2/5dckSoRcry+Kz/fBDK++8E8SwYQ4qVRLaudmxfbtCw4aB3UW2blX9Sti5+0+qqpKYaKNl\ny9wNo594Ip3Spb3i4nlh7VrVx87LjUqVTAYOdPHWWyE+z33WcuzBgzLXrwv5xLNnRUBMSHCycaP4\nDFq21Fi6VKVuXY39+4V35eXLQnGnXTuNTz+1YpqCGXzypExUlOg5Nmmi07+/i9GjrURGalSo4L0v\nX3xhxWaDtDSJJ590eRxdHn7YoGVLje++E6XclBR4+WUbY8fa6dFD49dfLR726BNPaMydG+oh//Xs\nqTF7to2ePUMZPjyZpk1TAsolyrIoy65dm3uGKMvQvLnm8eLMiubNtTz7oNlxrxlmWlpavgNmuXLl\nMAyDjIwMn/nK3r17U7ZsWVJTUyldujQAX331FVeuXCEtLY2TJ0/y4Ycf3lX59n7jHxsw3chvYMua\n1WXPdO71uKmpQp5rwQKNM2ecxMQY9OunEhNj4eRJ7+v27JGoW9eB/c6sRyCh+IMHJcqUMX0YfADl\nysHrr+u88Yavd6YYfFcDimu3ayf8IGfNcniy2S1bgunQwWDqVJmnnxZ/t3KlTEKCMIW+fVs8UklJ\nInhn7Y0+/bTBL78IKbzu3Y0sAQb69LHQtq1B3bpiV167th3TNLHZbBQoYCMmxvAps168CD/9pDB0\nqMa8eb6P8YABGhcvSsycKWMYhoeApapinvHsWYUffnARHh6Koii8+WY6SUkSK1dmesgxLpeLjz92\nMHKkhchIg1WrFGJjNcaPV0lNFZJpdesa9O6t0bu3Tq1aEBlpUL68ycyZDvr0ydl31HURPG02YZL8\nxBNOdu1K5sEHTYYMyfBoG7v7ie6Aee2aRNeuwezdq7BpUwaXL8t+Nzkg+oT+jKTd2LpVoUWLwIQf\nSZI8yj2BDKNVVcXlMjl/XuLJJ9OJi7Nx6ZJvFpoVt24JgYVAqkGvvOLk4kWZxYtFlD9zRmRWbvbt\ngAG2O7J3Ijt/5x0nZcoIVve+fUKNaM4cC6Yp8eKLLoKDYfZsC+HhJg8/bHDwoMLDD4fQrFkI165J\n1K4dSliYSdGiYuY1JUUw0N3fpylTLPz6q4XRozO5ckUiPt5XB3bc/8fee0dJUW3t/5+q6jiRnEEw\noGQQJIkkSUqWqAiCBAFRuQgiqAQjAiJIkEtQEImSQYYcJOegZLkkJYdJHSuc3x9nuicPXt973+/6\nvbrX6rVguvr0qeqqs8/e+9nPMyXAnTsKcXEaw4Y5adjQoEkTM6yBGTr9Tp10Nmywcf++5HQtVUrl\n2jU15Z7RcLlc4bpyKIo3DCP872ef1dm0KWfnIIQUtJ49286IEQ5efdVFt24uund38e23DhISlDAr\n1h+1P+MwExMT/8/T4sHfDvOBji0rppw/Iv/1R266o0dlROVwSFBFz54Wx47pNGxoUbeug4kTNRIS\nTH79VeHRR73hByw79O3evSq1a2d9Lm+9ZXLxohIWWgbYulWlRg09y2hEtqh4eOutRCZNiiIqSkaz\nGzeqPPmkxd69kvA8GIQdO1Tat7do2dJi/vwIhBCsXy+1L9P2AZYtKyWPvv1WsgqFbORIjYIFBRMn\n6qxYIaOwVatc3LtnD59r584mixenzv3zz210727Svr1UNgmRGAghKFtWqo+cPaty6ZIWzgxMnSrw\neFT8fg273YamaTidTkqXdlGqlGDcuNxhusJAIECxYgk0buxn716TfftUvvjCztGjKp9/HmTVqgBn\nz6phwneQsmSRkbIXcMYMg4ULZWowIkL+vgBLlgS4dcvH4cMBvv7a5NYtyU/7zDNWuAXEsizOnzf5\n/XcFIUzq1o2genWTFSt85Msnso3WQKJW69bN+r1gMGeSdCEkIURSkkxJZrS0tdDTp92UKCEYPVrW\nhrt1iyU52UwnKRWiUNu2TX5ndlGvwwETJ3r44IMo7t2DVats4XTsnTsywqxSRdYjO3eWoJxVq+w0\naiSj7+RkhSNHNH7+WaN37yCJiTBxop07dxSOHpXqLtHRUg7ryBEPPXsGw854wQI75cpZLF8uo9B1\n6zTGjHGwfLmXKVOc1K1rsmxZ+tpcoUKCp582eestF7t22fjkEwkQqFpVlhVCOrB58sCzz0qwT1IS\ndOjgpkYNE11XwpuRUG9oREQENpu8J0MR/dNPJ6WQu2emozt2TOXtt508/ngkixbZOXFCIzaWFLFs\ng+bNpfBAyZJWlija7OzP4jkSExP/zxOvw1/YYT4oJZs2/Qp/Tv7rQTff4cNqpoK/3Q6DBpns3h1k\n6VJo2VKjdGmT/PljwrRU2dmePZkJ10PmcMBXXxkMGWILt3ds3qxSv76eacxQi4oQgnbtXGiawrp1\nGnfukFKHVGnTRjrDPXsUSpcW5M8v9SnnzIlA12HtWjWcjk1rTZvKmkvNmiJlDgo//KAxZYqPvHkT\niIwU1Ktn8eqrFoMGRYV36/XqCa5flxR8ly7BsmUqb79tYrPJOu2SJanpV8uy6N/fTImOFZKTk9m+\nXWXixChWrw7y2GMW69enX0Ref13n2DGVq1cdYfaSyMgYKlVSmDnTjdMp6NDBS61aQZKTA9Ss6eWT\nT3ycOaOyf7+8J1q2NLhyRWX1agnnb9nSpHZtWd9t2FDKbA0alJ4ub/p0O7176+h6ECEEUVFROJ1O\n1q51UbSoRc+ekXz5pYd33/VgWTq3bsmNQI0amaGlsualUqVK1vfAkSMqjz5q5Sj5tmuXLVMbRlYm\nWZ1kFPrhhzolSsDAgblwu1MlpUIUauvXQ926qWoYWUlKPfWUSevWAYYPd7FypT2cjh0yRApnJydL\n8NTIkUFu3JCOsEwZi+howXvvOSlWzKJTJ52dO21UqBCJ3y+Ftleu9PHFFwHi46XI9MMPC86fl5sK\nw5Ai1J9/7sfjUZgzx83rr7tYuNDHuXMq164pjB/vZ948eyYij/feC3DjhsLrrwfDdWRFgVde0Zkz\nJ/U37tpVEsB37eqmShWTiRMDLFtmyxJMB6SL6EuUiOCxxywOHXKnkPYHWbXKoH59J126uMiTx2Dt\n2mROnUomKkrQrp1Op04GL7xg0KGDBCm98oqeLSgoK/ufpGT/dph/AcvKYWZMv/4Z+a8/kpINgXky\nWjAYJFeueFavTkDTbFy6pD0wrSKEjDDr1MkehFGvnqBGDYtx4+SCLttDguF5hpRU0jL1aJrKsGEm\nn3yisWWLHH/BAqkcAjId27Sp/M7KlQUPPWSydKnKpk0qzz+feS6JiXKuV6/C3bvQp4+dSZMScbs9\n2GyRJCSo+Hwq770nWVWWLJEPu6ZB+/YyyvzkExt9+5rkzSvH7NTJYOFCDcMww+nX5583EAK++87G\n7dsu+vWL4dtvg5QqJejRw+Cbb9IvIiEA0oQJNiwLli/XqF7dzapVdrp1MyhWDK5fd9GunWDdOskc\n3r59MhUq6LRt6+Tw4QC5cwepUMHE65WEDQClSlkIIftoGzUyuXxZCUcgFy9KkFarVgnY7XYiI2WK\n+MIFjXHjnAihsGdPgObNVRwOB5qmsW2bndq1dWw2M8xQFGqT2bFDtoJklwD56acHc77u3PnH2kTS\nInFVVbac3LihMGqUI4OkVAQ7drho1kw6A9M08fv9WQobDx/uYccOjfPnZZuIaUrwz0MPSQBUlSoW\n+fMLVqyw8dxzBvv2aQwaFGTVKinPFh8PH3zgpEYNkzp1DOrVk/MLAa9++00lGJQgoJo1TX74wUbx\n4ha1alm8/HKAkSOjmTIlQIUKFsOGufj00wCPPy548kmLH35IvahCwIQJTvLmFcyYkZ4B6aWXJOtP\niMWoXj2T8+dVgkHBF18EePxxWXveseOPRX1Nm5ps2eLk+HE3LVrkY8yYWN54Q+fw4QTefttD0aJe\nvF4PTz8dYMsWkalFqG5dM8v65n/a/gpKJfC3w0zn2P5s+vVB42ZnBw+q6RxmRoeVJ08UhQpBixYm\nDRo4OHFCy3bMy5flg5zS45utffaZwcyZGps2yQW9dGkrHE2nVVJJCxFv2VIiBufMUXniCUEwqIRT\nv+vXqzRrlvqA9unjZexYB2XLSpRtWhMCVqyQQKA5czTeeEOheXMvDRpYxMbGsmaNk6pVBYcOSSHg\nqVO9vP++O4wg7tzZYt48jXXrVN54wwwTEDz1lGwNOX1a/laS6iyJPn18JCRovPRSFP36GdSvL+f5\nwgsmhw+rXL6cugnJlUtKli1YYKN2bRcTJtgYOzbIxo0BvvxSx++HH3+Uc9+0yQ7IKLR/f0ma3q5d\nbAoq2EuuXCYrV1ps2mSwcaOMhG7fVsLsOgMH2jFNk2nTBJ07+yhQQIJrZJ+njfr1XVgWbN8eoHBh\nkS4Vum2bk2bNpG6kzWYL9/uapsm2bQrPPCNTdyEnmtYeVL8E6TBDjiY78/tlajdjn+bChT5Wr7Yz\nf37qM/PLLypuNzz2mBJOP4a0LtMKGweDQZxOgwYNApimIDHRZPwHp1sAAAAgAElEQVR46YyKFbPQ\nNHjjDVlLXLLETqtWOseOaVSpIiW+dF228MTFedi3z4auK+Ga6bZtGrlzS2acCRPseDyyLWXsWCdD\nh8oU7oIFTiIiJPPStGkOHnvMokkT+fnXXw8yebIj7BhnzpTp3rFjA1y9qqarM+bLJ2jY0OCHH+Tc\nP/jASd68EoQWWko6dkzfo5mTVa9uMneujFD79g2yZ4+Xdu0sXK7017J+fYuffnKk01/1+XyULOnH\n7yeduHxO9rd4dM72l3WYaVOyoaL7/yT9mtX4OTnMGzck6OfRR6WyR0bpr9BicuCAjLa++MKgbVsX\nR49mvVvcvVuldm3rgam0okXh7bdN3nnHlgLIEeF6U1ZKKiAjiOHDTXbulGmqrl1lyu7yZbh7V0kn\nfN2smUQohhQg0tq+fQoul2Dw4CDTpikcP67y6aeEAVQzZ2r072/SrJkV1rjs0iXA4MFypXnyScH9\n+9LhxcamEhDYbLImunChFkZxut1uevdW8Hplo/vgwamLu9sto9I5c1IX9uPHpZamYUgy9507AzRq\nJK+nwwFTpgRTSApUKlSwwj1yTZqY/Pqrxrx5QYYNi+LCBTfXr9tYs8bJgAGRTJiQSMeOHooUMZkz\nx4bLJThxQmX/fh+LFrnp318BVFau1KhWzcWePVImrV27zDU/y5KCwo0bm+EozuFw4HQ6cTqd/PST\ngwYNrPA9bZpm2Bl5PCaHDuVMkn7likYgIDdROVlItDpjajdPnlRJrBAt26ZNtjBtXVoLIXJD5Aqh\nCPrkSRlBv/uukylTHNhsgoMHbagqNGsW5Px5hd9+U1KUbiRJQUiirUMHiV4tUcLkwAGNmzflJmHy\nZCkK/cknASZPdlC1quSgLVDAStHIdFOzpsHo0cmMGOFk4kQ7n32WmoNt0MDE4YBNmzROnlT57DMH\ns2f7aNPGwO0WvPuuk7R7E5mWtTNxop2tWzVWrvTx44/2MEF7u3YyCk3LbQzpnZUQsGyZjd69XZim\npOPr1MnIkpBdURQaNRL89JMdpzO1N1Ru9gVPPx1g82YznUj0H9G3/HcsKSnpD0l7/f/d/rIOM2Sh\nG8fv9//p9GtW9iCHGYouDUOSH+i6nslh/fabBGqULAlt21pMmRLk5ZdzceRIZq+4Z0/2gJ+MNmCA\nydWrClFRMhqx2WxZ9pKmtZIlJX/qjz+qvPSSXHQ3bFBp0iS9qoLsPRRcuJD5Gi5ZotKuXYDIyEQ8\nHpUePQTR0dJp/fyzwuXLCs2bW3TvbjJnjkwbDxni59gxhR9/VDl9WrZqmKYII0pDEVa7dj6WLNGw\nLIXo6Gjsdju//KJis0F8vEIwg+D9q68afPedxuXLCn36OGjTxkW3bpLbdts2jcTE9MfXq2dRurRg\n2DA7bdqYYbBPwYLSwZom7N7tJxCQPZWnTmnUqSNo1cpB5842EhNVfD6FUqV0YmIEffvmpmpVnQ0b\nBFWrOhk/3sbEiUGWLQuwY4fGCy9kdjJHj6rkzi0oWTLz73zxokogAOXLp+oahqJQTdPYv1/jiScM\n3G49DCDJGIXu3u2gTh3jgZuu7ds16tfPOlJ9/HGLf/7TT7duLq5eVdi0ScvSYWY0RVG4elXj6lWV\nWbOCbN3qJCFBoUwZmZpt0iSAEF7mzZM0hzt3QqVKOnPn2omIgNhYQbduLubOldJfNhvs22dj+HAn\nW7dqTJ1qZ8kSGwULCu7dUxg71sG77wYZNcqJ3w9jxnjo0EECuZ591uCRR0SaucnodsIEB6+8IlO1\njzwiiTIGDNCJj1fSpWzr1ze5fl1h2jQHK1b4eOwxCYwKCVcXKiR46ikzTNie0eLjoWdPF2PGOFi8\n2EfHjg+uQxYrJjmdjx9XMymLPPuswt696UWi04KzMopE/13DzN7+sg5TCIHH4yE5hU06JibmT6df\ns7IHOcwDB6By5UCO5AcHDqhUr54aNbZoYTFuXCJt29o5cyb9Tb17t0Lt2n+siTwQCGJZsGKFA9OU\ni+qDHpLNm1XKlpX1uBRVnnT1y5CdOGGnQAHB8eOprCYAPp/ODz8otG7t48MP89KwocXWrannO2OG\nVDyx2WStNTFR4fhxDbcbJk82GDTIxqhRGn376qxaZUPX1XAk5fV6KVXKR/78cPiwbMC/dw/69HHw\n6adBhJA9oWmtZEm54FWv7qJQIcHx4z769zd44QWTkiUtvv46870wenSQkycld+mPP2pcuSJVSpo1\nM9mwQSNvXpg1K0i9emY4/dyhg4N582zkzWvhdFqcPGnH45FcpTt3Oti+3cZnnyWydu0tqldP4Ndf\nA5w7p/DMM5nBWBs2pLIpZbQtWzSefTZ9hiFtFLp7t4uGDUXYiYaunWEY4Sh01y4HzzzzYBHF7duz\nFq0OWePGJm++GaRTJzfHjv1xrtk1a5y0aGGQO7fUBwU4d07+bv36WURERLJ8eQQdO+ps2GDnu+8k\nuKZevQALFyZQp46sW7/4ok7LlgazZ/upWVPO5euvJb/rpUsqR49qBIOSD3ntWhvffefDboe9e+04\nHIJz5zQyZLNp21b2eD78sODFF1M3AD166Pj9Ch9+6AxvytaskcxalSqZFCkiz+O114LMnOkIg306\nd5YtKGlNCMH+/Tbq1IkkTx7BTz95qVZNEtWvW/fgtalhw6zp9OrXN9ixQ0NVUzdTWaXFvV5vuLUl\nq97QnOzvGub/cQukcMX9t3ZFOaFvA4EAe/daVK1q5Eh+cOCAwlNPpd3pKjRt6ueTTwxat7aTQobB\nnTtw7ZpsUcnJQlys27cbVKhg8dRTMHVqxB96KDZuVHE4FPLkEaxcKdmJdu5Mz0ELsG6dg5YtDXr3\nNvnqKy1cF46LC/LQQ/D771EcPKgxZ47ByZMKZ87IeuXSpSqvvpoKIunWzeT77x0IIahf3+KJJ0w2\nb1Z55x2dcuUs4uJUAgG54dA0jaioKDp3luoUQsDAgQ7atDHp29ekaFHBhAm2lOsvnWfVqi4KFhSU\nKWPx4Yc6odugc2cDj0fh66/t4SjTMKSzWr9eivL27evA64WnnnJTsKCbCRPsTJ1q45lnnHTv7mDP\nHg2XC2rWtGjfXsfjCRIVJQAlnMZUFGjVymDRIpNmzZzExsrswpo1Tp57Loiuy1p6qC/UMAzWr9fC\ndbWMtmWLGmbSMU1Jn7d9u8rixRoLFmgsWybbDn79VUNV7eGFM9SqZBgmO3c6eOaZYNiBZhWFxsfD\nmTNZi1antQEDdGJjpcyZ2/3A2wshBKtWOXnhBYPff4dLl1RcLnmdXC7JWrN/vw23W7BihYuff5Yq\nJPnzC777zk/FihbFi+uAYNUqlSef9HH7ts6iRTZeey1ItWoWQ4cGsNulM/7tN5U33nDxySd+8uSR\nddkhQ6KYOtWPwwGLFqV3PAsX2omKEhgZguW8eQVt2+o4nYJvvrGzYYPGoEFOli71cfCgjd9+k0Qk\np0+rJCQorFkjx23RwuDgQS3M0GNZ8lns1i2SsWP9jB8fCF+3+vVNTpx4sAh1o0YGmzdnzhKVKCGI\njpb15LSWMS0eAp2pqhouU4UUWzKyPWW0P1rDDAaD9OzZk5IlSxITE0OVKlVYv359tsd/+eWXFC5c\nmNjYWHr27EkwY6rof9n+sg4z7Q3y39DEzMoMw0hZBP2cOOGgTp3sNTIB9u9X07H2hKxLF5M+fUxa\nt5aL+t69KtWri2zRkWlbZGw2G3v2RNO4seDzzw1mzHBy5UrOt0FSkuS8PXtW4fPPTT78UGPbNumg\nM5IkrFvnoEULg759JVr2woUkAH78MYa2bQX/+IedqVN1cueGHj1M/vlPjYULVerXtyhSJHWcrl1N\nli+34/WKlP4zuXheuaLy0ktB5s6VHKghEVtFUejc2WDtWo1582St6cMPZbT0zjs6p06p7N6t0rat\nk1Gj7EybFmTz5gC//65w4kTqb1C7toXfL9scvvzSxldf2ahQwcWYMXYeflhQr57Js8+auN1ShaRR\nI4vevaWwtccDS5dqREcLgkG5ociTx8uoUQY//KADCoah4HBIbtuVK1PbC0KL14oVTjp3lhu5qKgo\nHA65abh6NcD58woVKiSEa86hCCAYlGnkX35RaNrUSZEiblq1cjJmjJ116zTi4iTKev16jbZtnRQt\n6qZFCyeTJ9u4fNnC5/Nx7pydyEiFxx93hKNQIFMtdPt2lRo1jHBfaXamKPDQQxYOhySIf5BdvKjy\n+++SMOHdd13h8YNBhUcekWn/2bNteDwK8+bZyZVL4PMpDB4cxG7XMAwH69a5mTDBz549EnQ2b56T\nhg0D5MqVjNfrZc8ek0KFLMqUkaQZTzxh8cYbLkaOdDB+vIty5Uyef95k7Fg/o0c7SZK3LgcPqowa\n5WDlStlGdOhQ+ufl9dd17t5V+OQTJ6+9JsnUa9Wy6NxZ58sv7XTu7GbaNAfDhwf48ksJHoqIgFat\ndBYvlsQGnTu7WbfOydatyTz/fPrNiNsto8S4uJyjzDp1TH7+WeP+/czvPfvsg7lpQ2uRzWYL94Zm\nxfaUts/28uXL3Lt3j+Tk5D9UwzQMgxIlSvDTTz+RmJjIxx9/TMeOHbl8+XKmYzds2MDnn3/O1q1b\nuXz5Mv/6178YOXLkA7/jv2l/WYf535D4yjh+WqL0EA2Uw+Hg999jKVBAkC9f9p8PBCQQJS2KNu2c\nBw0yefppQdeuNnbuVHj66azTsRl5Z91uN5s3y8iwRAno31/2vuVkO3aoFC4saN7cok0bCfaYMkVL\nh44FOHdOITFRoXJlnYiIJFq39vHtt7lQ1Uh+/FHj8mV4+mmLhg3lOfXsabJokcrXX2v06ZN+kShW\nTFCtmqwV7tsX5MQJlWHDfAwcaOPZZxPZv9+OxxOZLo1dsKBsHn/nHQczZwbDi27r1nLsli2d1Ktn\nsm+fn/r1JSdpnz5GOvJvVZUtJn4/jB9vZ/t2lXnzgmzbFmDgQIMOHUwOH9bCOpjz5wf47DOdDh1M\n8ueXDvS55wwcDoHDIejePQ+DBkWRK5dkZImKkqngkF7m+PGpi+DFiwpXrqhh/c9QHcrtdrNrVwwN\nG1rExkrpOF3XOXvWx4gRgieecKaQvgsGD9Y5c8bHqVN+1q8PMHdukA4dTOrXt1i/PsDJk35OnvTR\nr5/OiRMWdepE0q1bXubNiwoDhtLWv1wuF06nM1wL3bbNRv36eo5RKMhIfssWG7Nm+Zg5005cXM6L\n9erVDlq0kHyt69ZJabmmTXVME65cUZg5084PP9gpWdLC6ZTAJE2TKVGQZAfVqpnUrSt/17FjI5k5\n082bb1rhRX/vXge3bikkJQl69fJw6xZ88UUyx46pfPWVmy5dJNCnWjWL+vVNxo93cOOGQteubqZN\n81O+vMXbbwf59NP0aKyyZS0efdQiORmee86kWjVZ086VSzBrloMyZUy2b/fy2ms6Ph/hUkSXLgaz\nZjmoWzeSRx6xWLHiHsWLZ70OtWxphKPT7MztloTr27ZlPu7ZZ40/JEqd0TKyPYVo/kJ9tvPnz6dc\nuXLs3buXt99+m2nTpnH48GH0bCRoIiIiGDlyJCVS6jrNmzenVKlSHDlyJNOxc+fOpVevXpQpU4Zc\nuXIxYsQI5syZ82+fw3/S/rIOM639Nx1mCH1rWbJ1wuVyceCAGm7cz86OHZOyXxnJtUPjKgp88YWB\nrissXqxlcphpnXTaGun161JBJJTqHTAgwJkzGuvXZ38rbNggAStdukh07KhRBjt2SNHptLZ6tUKz\nZkECAR+apvHuuxpz5thZskTlsccEK1dqjBmTmtMqXhzKlxfcu0eYVzbUImEYBj16GCxcGM0XX0Tz\n5pteunVLICEBtmyRacsFC9R0dRYhZG9nrlwiTFi+b59K/fqyTqlp8OabMhoMWY8eBmvWaGGi9rt3\nJb/vzp0arVqZlCgh0pFLhGq2u3b5U0AfcrC8eQWHDqlMn57ImDH3mDvXQzAoUcGBgKBWLRc1algk\nJcnezAoVJO3glCmpk1m6VKNt26z7KH/8UaN5cxNNs7Fvn5sePXLTrFl+fD4HjRsb9OvnZ8SIBKpX\nv4/dnhyOACzLSpeuBYiNNahbN4FJk5I5e9ZLmzYWCxfa2LVL5cCBzPdBKPp1OBxs326nSRNyjEJN\n0+TYMYiOhlq1LObN8/H66y5On87+Hlu50knr1kEmT7ZjWTJCjY2V7T6vv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UQEVKxosX27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} ], "prompt_number": 53 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Coutour plots with projections" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1,1,1, projection='3d')\n", "\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "cset = ax.contour(X, Y, Z, zdir='z', offset=-pi, cmap=cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='x', offset=-pi, cmap=cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='y', offset=3*pi, cmap=cm.coolwarm)\n", "\n", "ax.set_xlim3d(-pi, 2*pi);\n", "ax.set_ylim3d(0, 3*pi);\n", "ax.set_zlim3d(-pi, 2*pi);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "display_data", "png": 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5jxezf+ZclnecyLQbOxAbUzfOtMoGc08Y05pf5c54YhPI/WBVmcHcym9JWXdj\nQPmNl0/ycXpg4wEDhVY1QzvZ6ZJqI8ZTjCp3L6q/t6E6tANsof30zdElq54xY8aMhl5EXaNMEbFY\nLP6BxxHWBCpJAG63O7CjjEQo3W63f7JDPRXtS5KE3W6vdRN3pe+rubQUtVpNckpKYDqJwt+FEqV2\nyG7lQKuW4I9voHU2UuvsaFxKGZRNSzTdeop7rb42Ph6PJ+C6a8wozTr0sXFoup+MlJiCc/kCJLWG\n1O4dSE2Q+OAH6N7WH98MiSSh0mpxlxZTJCWTEuPh4MGDdO3alY0bN+Dfr0tIkovffltNUlIrBg0a\nycCB55Cbe5DXXnueDRs2Mn78hdX+dsp/rnvvn8UBfVucZ4zk0rEZUf1sqsP/W1dhNKj5PUdH6sql\ntL95IlqtNnCfKY0VFLdu+Zmy9Wl5yrJMSUkJsbGxZTqPWZwSGw4YSY/30ivDga5wP7q9G9EcP4yk\nUoFGBz4fGGJBX7HUbNu2bTidToYPH15v11LXNF7zKEoojQeUWENDzKZsiBhmbc5Z3u0sSRIxIZqk\ne7ywK0dN1zQHkgT8tQFiEqFNjyhcQUWi+Tkq4ms2mwO7/5q0WmspaLr1xXj9vbg3rcW1ahnd2/o4\n6xR4ZzVYqyizlJOz6OjZTU6Rmvv/8wADBw4G1ICE0ZjFww8v5ZprniQ+viOzZ9/OlVf25umnJ/PF\nF+8yefIT+HwGLr74EpxOZ9hrLd24lbwvf2R5ymhuuqr2rtiaMvKMFLbHdMcpqzm+am2ZmaJKpy+l\n6YJSmqXcizabLdAwpTJ3brSwWa2oNZpAQh9AqUPFxgMGstPcdDXmot36NaqCv3G264u990i8XQbh\na3sSvva9keOSQx7XYrEQW4uJRo2RZp/0Ezw9viFmU0LTEszy8ylVKhUlxcUkp6RUeO2+fBUpsTKJ\nJhny/obSAuh/bqOKy4TC6/VitVqRZdk/BPmE20+xNpXsx/qanNFUUCWlYrzuHhxL5+JcvpD+F15D\noVnN4jVw7TkESonKIEno2nTk5lPbk5d3DL2+MwMG9GbjxtW8/fY6TCb/A3Xs2Cuw223ccssZrF37\nCSNHTuTCC6/A653I7NnTuPHGm3jrrQXVegJkr5e/7nmGdb0mcM212SRUMaqrrtFoJCZdlMmGwnMx\n/d9CUs49vUwDgOBkoWCUPAvlfgwOIUV7pqgi0knJ/4ie1Snx20E93dNdZNl2ojq8E2+nU5BT2uJx\nOlGH6Y3YcdbFAAAgAElEQVQpLS0lPT29VutrbDR7CzM4+7U6EamL2ZThnLcxUNl8SofDgV6vr/Cj\ndnv8gtk90wsuO7q//4Aew5DU0W8mH0xtPsfgUhidTkd8fHzAxVxVv9JQTb+jMcOxKSIZjBgm3QZ2\nG87lCznrZC9GHazcUPl72g88g7y8PFq3m8Djj7/CTz+t4N573wiIpcKhQ7soKDjIKaeMZvXqZSxZ\n8hJqtZo773yevXsPMWfOc5WeQxGgo28tp8ipwTLgDEYMCz8rtq4YMSyZbUknY80tpPSXLWG9Rwnf\nKE3olZmiSiip/ExRxRKN9H6UZf9EmZiYmIAr2+mW+PWggS6tXGQd34Aq7wCePmchp7aDCD10zW1S\nCbQACxMo44oNdUPV9WxK5Rz1SbgiHVweE8qadtjtGEK0wtuXryI9XibWAN7dm3G36oA+rqIVGk1q\nunFRvl+bzRZofq9sACr7jILHTylu+PLjp0Lt/NVqdcQlSk0NSatDf9nNOJfMxfPZIi4afRWvr1Tx\n624Y0LXsawcNGkRhYQlZGefx73te4LGH+9GmTW969RpQ5nU+n4+HH76Uvn3PZubM11i16iNeeunf\nJCencc45l3LPPS9w113jOPXUIZXGxNzHi9n/31f5sP+dPHpDuxp9B7LDhvfwPuT8XGS7FdQapIQk\n1K07ILXKjPiYarXEZRe15o+jo0h84W0Shpwc8ZrgHxEts9Yq7sdwPCNOpxNZlgO/b68PNh3Sk5Xo\npkP+OvA48fQaAZqabYItFosQzKZMQ8ymVM5b34RjTVc3n1KJZSYkJpb5d7cX9heoOK2rB7ngMJKt\nBHeHfujr5Epqh8fjwWazIctyraelhDPDsaWIqKTRor/0ZhyLXkD1/UdcfuYE3lgJGcnQJtX/munT\np7Nr125Uqg5Imr+4a1prQKa0JJ+JEztjMsXzr39dxOTJM3nppbvweGRmzHgFgNGjL6KgIJcXXniA\nLl160alTT6ZNe4abbprChg0/h4yNHZz5Cns7DOHsqwaQkRb+3SjLPrx7tuPZ+APeQ3tQZbZDld4G\nyRgDXg/efbtwf/85aLRo+5+Gpt9wJF34xz9zWDJLlg6hz1fLse0+gKlrh6h0+QnnfqxspqgkSVhP\nNCjwPytge44Oo9ZH16J14HXh7XEaqMoaDpFamM2trKRFCGYol6ziu/d6vWUC73V1/sbkuisfp6xM\nRJxOJ1qttoK1faBARas4GZPWC3t+xdupH3I9NiYI50cbHIc2mUxRmZYSisoeWkoMyuPxBERUmaQB\nNAsRlXR6DJdPxb5wDonx3zBu6Fks/Q5uGQO/rF/DggULAZDlv0lMHEVu7gEGDL6eqdOexFa0n9Xf\nfMTKla/x9ddLcLsd3H//62U2rFdeOZXt23/l/vsnsWjRzwwcOIKfflrJ3Xffw6uvzi2zFvOm7Rxb\nuY7fx/2X2eemhX0N3gO7cX39Ifh8aIachX7CDUi6imm/sizjO7If9/pvcK//Gt2oS1D36BfW96fR\nSFw4rg37jpxJ+qvvkf3cA2GvL1LCFVGnw4FKpQq4cY+WGih1qBim+gXJbQ8plpHSHF2yzT6GGYwi\nXFartcxsyrp6mJY/b30S6pyVxSkrwx7CHev1wb48FdnpXji0E2KTkBPrJ20/nO9ISZH//PPP+fXX\nX/0N4+t49mh5gmNQSnF78KbM6/Vit9ux2Wxl6vKq61Van4RrSUjGGAyTbsP98zd0tW6iZ3tY9FUp\n48aNAyTi4joyb94W+vbtiyRpmHbRJHKKNSQnt2LSpNtYunQXWq3/Htu3r+KEj8cffw1J0jNz5hQs\nFjNbtmzmvffe4/ff/3mt7PWy//7n+Db7Im65tQdqdRj3icOG85N3cK54C+3QkRhuegBt3yEhxRJO\nCFGbThgumYz+4sm4vvsM58cLkV3hTWIZNSKV75OHc+zDr3AfL67XPrKKiCoxUb1ej9frJTY2FrVa\nTYldYk++nt7SVtTFR7B2GIDL6wsZE43UwkxISKiLS2owWoxgKgk9CvU1mxIaXjCDk100Gk1YmwRZ\nlgPt8II5XCiRYJKJU9vh0A7o3K/RWNB///03kyffRMeOnbjkkksZNepcOnXqREZGa7Ky2rB27dqQ\n76uPe0ApKVBioiaTqUKHmFC9ShvD51odqoRk9JfdgnPlYs5K38+Mqf0AFXp9d957bzMZGW358MMX\nOf/8qSSmJaHyOnDKBlwuJ9u2rcduL+GKKx7i/fdfY968GWWOrdVqeeSR19m0aS3XXHMaHo+F66+/\nl7vvvifw2Rxd+BF5FhWZE8+la+eYatfrPbwf+7z/glqNccrDaE4agCRJON2w6xB8uxk+WgdL1sDy\nH+H7LbA35585oep2nTFO/g+SSoVj4Rx85uJqz6nXqRg5rgvHug4iZ8GHkX7EUcVisWA0mdDqdEgq\nLTvz4ukZn09K4U7c3Yej1hsqnSkayf3YHGOYLUIwXS4XxcXFgR18fc6mhIZzyQbXU/p8voiyft1u\nd6Ah9T/Hg715arqk+eDgVsjohGSs3xhFqM/S5/Px9NNP07VrVxyOGObP/5Hly//k4ouno9EYKSkp\n5fhxByNHnkOPHj3Jzc2t1zWHoro2a1VNzWiMIqrObIt+7NXcftVELKV5QCpPzlqFSqVi+fIX8Hh8\nXH/9PZCUQRv3fo6W6JBlePHF6fTseQaTJk3h/vvf4JNP3mbZspfLHLt79z5otXE4HGZef301F154\nHaWldj744ANcecfZM/NVVve6gisvyax2ne7f1uJY8gq6cyagP38Skt7AwWOw7HuYtQzW7/ALY/t0\nOKmDv2euww2rN8GzS+HLX8Fs8yc+6cZejbpnfxwLZuMrqr6V3/lnt+LrpDM48sb7eJ2uBnHHu1wu\nPG53YAj8zlwdSXoHbXO+wdvtVNSm+Epniir3nbKxU0S0sntSaRITDf766y8MBgNXXXVVVI5XU1pE\nDFOtVgfcj0VFRY3ygVNT7H/ncPyrdVh27sVns6NNTiCubw90g/vgjo8pc+2RECo7Ns8soVJBstoM\nxw7AoLFAw28I3njjDWbNeg5Q88knbxMfn8zEidO4+eZ7ueqqW7nrrss5eHAzAwdezM8/f0mHDh1Z\nvvwjzj333Hpfc1UEN/z+p/WgXCYm6nK5AnNag5OKGkON6G9FNt77fSegonvP8Wz5O5n2beCDD/7H\nv/51FWq1/5oSUuM4XOxm55+byck5wOOPLwZg+PCRTJnyDK++ei/du/ejT59TAXjkkSmo1T60WiNv\nvTWbm256kGuuuYfHH3+U7IGb+CNrKJdO64/JWPk9Lvt8uL56H+++XRivuxtVSjo5x/0CWGSBoT3h\nglPBWMXzvcgMP+2Al1bAsF4w7CQJ3fDRSAYTjrf/D8PVd6JKSq30/XGxGvqP60vJ3605vuIbUieM\nivxDrgWyLGO1WAJNSI6Vqimyqjjdthpfm57I8RU76gfHRJVNnMlkCsRFy9+TKpWKzz77jMTExKjm\nhdx6660MGjSowe/xFmFhajSawAOoIYY514WgWHbuYfOl09hw+uWUbNiCqVNbEoacjDoxniPLPmfz\nkEs4cPtMVEcLapQZGmqW3b48FZ1aeZH+/gOyulUa76kP3G43JSUlLF++nFmznuOll1azatVRxo2b\nxltvzeGmm0Zgs1kwmWJ49dVPOPXUC/n55w/IyuoA6Bg/fjyDBw8OZEg3VsqPngq16y9fI9oQ3Yrs\ndjsjR44CJDSqtjw5ajiZcUd59IlplJbmI0kWvv/+Q1wuBySmkeU9wLx5/6FLlyGkp/9jGY4ZM5Gh\nQy/m0UevxWYz89VXH7Nly2qeeuodbrjhQT79dBGlpcX07XsqiboE3v1yFZ5Lr+Dkkyp3xcouJ85l\nr+HLz8V4/T2449P59Gd/l6JeHWD6eBjSo2qxBEiKg/MHw83nw/6j8MYXfhHVDjgd7akjcbz7IrLV\nXOUxLhydxjepIzgyd3G9P4eUbkl6vR6nB7Yf1XGy9AdqkwlfRpewj6Ns0iqbKbpnzx7mzJnDzz//\nTMeOHbn44ot58skn2bhxY43WvWTJEpKSkjjrrLMa3NiR5IZeQT2g9JIFf/eJ4NhRfSDLMkVFRSQn\nh24hFemxDv7fQg7+byEd751M1nUTUBsNFeopXcWl5L21nJxXF9P66vF0fnAqKn147hGPx0N+Xh4Z\nmf/UnZkd8NNfGs7qVIR68yoYPA5J4z+ekkyUWK78pC4oKioKZJsePHiQ0aPPY+bMZWRn9w285tix\nHKZPH4vLVcz8+T/wzjuv8MUXC/B6/Q+MhIRWlJT840J7/fXXueyyy+p87eB/aEmSFDVXlULwjl+x\nRmvTrUhp1qC47qojPj4B0AFuLrrwPtZ9O5+8Un93drUmgeSkVhQX5+D1OujV61SuGn8r9zw2iaee\nXkl2ly4Yg7wZPp/MNdcMIyUlkf37d3PBBZO48UZ/ZulVV42gc+dOPPKfl1l1w3QWWH9l++6dGPSh\nQy2yzYJj8SuoUtPRjbmSg/lqPlznn/M5egAYa1gL5ZPh5x2wdhtcegZ0zADXmk/w7t2B4Zq7kLSV\nf7/PvbKPvi/cQd95D5F6+qCaLSBCZFmm8Phxf7MOrY7fD+mJ9RbTs2gNnr4jIYyGI0rmeUxM9XFi\nWZY599xzWbhwIb/99hubNm2ie/fuXH/99RGtu7S0lIEDB7JmzRrmzZvH3r17eeeddyI6RjRpERZm\neRrCwozGeX1uN9tveoi8j79m8NoltJt6JSqDPmScUpcYT9btVzNkw0fY/jrAxhFXYtt/OKzzKNZl\n8IP1QL6Kdik+1Ie2+q1LTXQf+NWhJG0p5RkqlYqLL76E8eOnlhFLgPT01rz99k/ExmZy2WWnsGrV\nAm699WG++uoAHTueDPi4/vqZ6HRtAYnJkyczadKker2eaFNVtyKlfCDYEq1pd5hQjB07Fn9/WBXg\nY/mKWbTtPJzHxtwFwPlXreKh//7Cxx8f4oEHlpCbW8A9j11ObEwKuqTeuJwugpegUknMnLmIv/7a\nhk6nDYglwLRpT/Drrz+wZe5CJFN3OnbtxcfLl4Rcl6+kEPvCOag7dEUz5mrWbFWz9HsYM9g/pqym\nYgmgkmDoSTDhNFj6HWw/ANp/XYCUnIZzxdtVfqYXj81kfZsR5MxbVvMFRIjdZkOj1aLV6Thaosbm\nhG75q/F0HRKWWEJkGbLKZi07O5uJEyfy7LPPRiyWAA8//DA33ngjrVu3bnB3LLRAwWyoeFttzyt7\nvWy/8UHcBYX0/2I+hraZuN3uMvMpY2NjAzts5Xz6tBT6vPc8mVeN49ezrqJ4fcXU/fKUz471eOFw\nkYr2sWYoOAxZ3aJ6bVURPFbN4/EgSRIGg4Gnnnqa/Pwi3nzzSW64YSh79mwt8z6r1XzCFSiRkpLG\neef5BfHFF5fidvvYtm01gwePxGTKAiQ+++wzhg0bVifX0FCULycIFtGqWqxF0ux7/fr1fPfdD0Am\n4ESvT+fllzfy+My3+bpgF6kxmUzoY+CXnZBXDKeeehZz565GklRYrIUsmjcVHxpcrrLN1Z1OOyDj\ncjn9btwTDBo0nIyUTry+ej7OUWO59pppzJ79HC5X2SQaX/5RHAtmo+03HPewC3lntcSBXJh6AXRr\nG4UP9wSdW8M158Dnv8CWfRL6sVchlxzH/eNXlb6nfRsj7tPPonDtJhwHj0RvMZWgZMnHxMTgdEvs\nytXR1/EjUlZXiK291ysUZrO51o3XN2/ezDfffMMdd9wBNI5RaC1CMIN/SE1VMHf/Zzau/EL6LP4/\n0OvK1FMajTHsP+Tkxw2FrP25kO1/mrE7/pkjKEkS7W65gp6vPcGWy++g4Ot1lZ5HCeIHTy44XORv\nsm7M3e4f3aWtn54+iqtX+bErzeB37drFwoVvsXDhL7z11maMxnRuvfVs3nnnWcCfnXfzzWeTkBDD\ne+9tpLi4hBkzbgJAp9PzxBNvsnHjWvr3z8ZuNwJaJMnA1q1bufDCC+vl2hqK8iJavk+p0tDDcWLo\ncXCNaKj7d9So0UAccAhI5P33d9O+fTY+n49ffvuGcWOnEPP7Soa3KeDbzWCxwzvvPInJlMyTT37E\nlt9X8czsO3A6HGWszFmz7qR795PR6+OZNeuuwL/7nC7GeDpzUC6m/2ANPXv2Iy2tDStWrAi8xnt4\nH463/w/tiLHkdTmLuZ9C61S/sMWF52GOiMxkuHYUfPUrbDukRX/JTXg2rMG7b2el7xk7Losd7YZx\neN7S6C+oHFarFYPBgEajYUeujrbqXBJVVnytu1b/5iAisTCjUVLy/fffc+DAAdq1a0dmZiZz5szh\nww8/ZMCAAdW/uY5oEfMwgcBECmU2ZX3GMIFKm5iHQ867n3B00cecsuI13GoJm82GTqfjeJGKBUty\nmPXKPjb9UcKxfBf7/7bx/frjLFicw5btFjQaNe2yDKhUEqbO7Ug8tR9br76X2J5dMHVuF3KdPq+X\nmBO7Q1mGLYfUZKfYiTnwM/QYjqSumESkzN+MBor71WazodfrAwXW4I8BTpkyldNOm0j//mcSF5fA\needdTnx8G958cwYHD/7JJ58spqjoIAsX/kB8fAK9ew9lwYKnad26PZ06dSc9PZP8/CKWLXuFJ554\ngW++WQ8UAgns3/8nHo+HM844IyrXUh5lzFxjmoepJBb5uw9p2PanneQkPSqV3/3t8Xhwu92BZCKl\nPGv8+PEcOLAfcAEqpk9/jezsngB8/fXb/PLLV8x4cgnq1AyMv6xA07E7G/bp+GTxZM488wrGjLmc\nvj1PZfHiZykqymPAgBGo1Wo2bPiBzz+fx+zZ79Oz5yDeffc5RowYS1xcIvteWUphoZGDxkJ27fyJ\ns8++iPj4ZObP/x+TJ9+Id882nB/ORz/uarbq+vHRWrhgiD+pR1WHHr0Yg9/afP8HyMw0ktq1Lc7l\nC1D3Goikr5gclxgPn+6MIWPZq2TdMCHs/IJI8Xg8gRZ4x0o15BZJ9Cteha/ncP88ywhQ4uLhPDuP\nHDnCtm3bTrjra0bfvn255ZZbuOWWW5gyZQoul4u0tDSWLl0admw92rQIwVTcT0DArVffgqm0mYtU\nMK1/7mfbtffRc8n/4Un0u1w1WhNvLj7Ka+/8zaBTkrh7aicuH5/FmcNTGTEslfPPTmfsqBT0OplV\nawp596MjtErR0y7LgLFNBklD+7H16ntI6H8SxvZZZc5nMZvRGwyBpJQim0ROsYqT3JuRTPFIae1D\nrjNU3DNSgmdUqlQq4uLiKjRY+Pbbb1m0aAl33z23jOh0796bXr1OZ/78x8nL28OLL35Kq1b+7Mv0\n9EyKi628/fYsxo27Bp1Oz+DBp/PRR+9w/PhBBg4cydGjx/F6j+PzxfDTT2sYPnw47duHvtba0BgF\nM5jiEg+vvXOYNxcfZfufdlQqDe3axGAy6dFoNIEs8yNHjnDffffhd1Lp0Grjuf/+uYHSmFmzbqRj\nx8GcddZ4pLgEpIQkEjetYKsln982LmXG44sw6HWkZbShTVJbFi2bQ1xcEt269eOhh66he/eTGDPm\narKy2rNu3bf89NNKhiT25ND7X6O74XqGn34KS5e+xOjRE+nYsQeffPI2rWyFdP5rI9pLprAqrxub\n98DVI/0JOfVBrNFft7nse8jumUqsxo17/ddo+gxCKtc60uPxYGqVyKG120hV24kf2LtO1mQ2mzHo\n9aDWs+mQgVPsazG0z4b4ystfKkOJd4eTdb9v374TSXmja7JswN+0QvGAxMbGsn79esxmM1dccUWN\nj1lbWoRLNpiqJpZ4PB4cDgcOhyPqBeI1ccn6PB623nA/re+5AW2nNsTFxVFq1XD7gzsotXhY8L+T\nueLiLFKSKu4U9ToVQwcm8NxjPfn3lE4sWHKIGbN3U1LqJmFQH3q//Sx/XHUP5j92Bd6j1DUGxy8P\nFqhol+RGyt0DbUMPho5GMN7j8WA2m3E4HMTGxpaJxwav74knnmTSpPvQhshC7Ngx+8RaVKxdu7LM\n36ZNe5CEhAwefvgGwJ8a//DDL7Fx4w8MHdoPrTYZSdLSs2dfQM/555/PsWPHan1dTY3kJC3PPtyV\nt17owcjTE/lxYzHX3L6N1xcdprDYE2i04HeLSUhSGiAzcuT1gd9Pfn4Ohw7t5sor7zrxkAV1285o\nh5zFhk/vI6P1INbtiMHt8Z/z9NEXMfqc6cyf/zhffLGUgoJ9TJ/+bGBN9933PPv27uCb2XM4csbF\nDDsji379hpCc3Ja5cx/j88/f59ChAzz72hs4L7uXhVs7UWqFKWMgvZ4nfLVPhzFD4N1vwN5vNKjU\nuNd+EfK1g/vFs7X7KPa/9B6yxxP1tShNCowmE7tydWTKR0ky+ZBTaxbEbejRXo8++ihvv/12VI8Z\nKS1GMKuaiWmz2cg7doz8vDzMZjNms5n8vDzyjh3DbDZHpcdnpILp9Xr5a/YbqOJiaDf5MuLi4jiU\n4+KOh7dzwTnp/Of2zsRXMRw3+Hyn9E7g1Vm9ycowcPM9W9n+p5nk0wfR/bkH2DzhNhyH/Z1vXC4X\nKrU6sIN0eeBoiURb9x5ITK+Trj4+ny/Q21eZUVmZ9b9s2TKOHs3jtNNCxxlnzLiZ1NRW3HHH/3j3\n3RfYuHFNub/PY8eOTfz0kz8h4+STB9G9+6k899x9TJt2KwZDe3bsWMfEiQ8BEtnZ2Vgslqheb2PH\nmVvA1gm3cfy1RZwck8ej/+7Ei092R5bhlvt2MvetQyxZuvxEmZYJk6kz4OOGG+5Dr9djMBh4//3Z\nxMVl0rlzjxMi6o+JWhNT2VOYw/XduxEvl7LqV3C6AEnFLdfdTGZWf15++W569uxPSso/g4fbtW5H\ne10HPvTu4vwbB6I8s6+8cjrr16/m1Vcf4uKBp3PMJfHf9wvo0Q4uPxMM9ZvIHaBXBxjYDRavUaEa\ney2e39biPbC7zGtkWUajVjHiuqEUqhIo+Pz7qK4huElBgUVDkQW6W9bj7dQvquepDIvF0uwmlUAL\nEkyFUMKlUqlITEoiIzOTVq1a0apVKzIyM0lKSsLtcpF37BiOoD600TpvKGRZxmazkb9jN0dfeZde\nLz+GXq/n8FEH9z2xkylXt+fCczOq3emVP59Oq+Kmq9ozfXJHHnnmT77+Pp/0i86h3a1XsnnCbXgs\ntgrW5ZEiFWlxPvQ52yq1LiO9vuDrVMphILzevk899Qy5uTlMmNCZBQtmltnIbN36Kzt2fMsjj7zO\needdzBlnXMZjj92M1VoaeE23bj0ZNmw8c+bcF5gk0qXLSeTmHmLGjGsxm3cAPpYunUHr1icDEl27\ndm1UTdHrGk18LJnXX4LrWAF/Xf8Avw6ZgHPRe1w7ysi82T2RgJsmX4O/jKQ3VusWuncfwbFjR5g5\ncwoTJ3bj88/fwGzO4aKL2nLjjUN5881ncbudLF/+EgZDAv0nTaX/oSW0ch7ik/UyBcUepJg4rrvs\nDsBHcvI/PlRZltn69FucET+CUncx27f9FPibLecQsuyjd6eedBr3Eh1Omsjx7XM5rXfdxivD4fTe\nkBIPn2xOQDvmKn+jdru1wuvOPC2ZXzuNZM+ct6Lq0VKaFKg1erbnaOlj+xGpyykRxy0VvD44lA9b\n9qn5bgt8twU2/AmlFS8JaJ6TSqAFCWZVFqbSwb98Nq1Oryc5JYWkpCSKi4spKSmpXWlINfMpHQ5H\noOftsWfeoN0tV2Dq1JYSs5sH/ruLay9ry5nDI489BHPqgCTmPNaTBUsOs+TjI7S7/Rri+/di+43/\nwWG3YzwhmLJ8wh2ryQWdESlE26yaUr4cJiYmptrY7oYNGygpsbB06R7Gj/83H3zwGpMmncSRI/sB\neOaZ2+jdewhdu/prMu+/fxZxcencd9/lZY5z773/xW53MmPGFMaP78dXXy0iLa09Wq2Wu+6aDaQi\nyx5ycn4HZCwWCxMmXBK1a2/sqE0GUs87g07//Td91i+l20szcBw4wq+DJ5D34H/Z8d1j+B8bPfCL\npo2SkmNMndqf/ft/YujQswGZF19cx8yZ7zN48L9Yu/YdJk3qyscfv8qgQWMwZLbFeP4kTnH+Qi/b\nL3z5q4qdB7188NmrxMamsm7d5+zfvwufz8eOeZ9QvPMgQ2ZMo2/fM3n55YeRbRZ+X/Qyb7z/Au3b\n92HnoYPISEyffDlfffEhxcXVN0OvayQJLhwGBaXwi6sX6h6n4Px0UeAZoLg3tRoV/W4aRWlOIaU/\nb47KuYOty915elp5j5GSqI54qpAsw/5c+OAHeGoxfLFRy8E8FW6Pv9Ts6HGwOkO/tzlOKoEWJJgK\nNYkl6g0GWqWl4XI6KSosrJFoVmU5lRcQzx+7Mf+2jfZ3XIvXKzPz+T2cNjiZ884Of85fVdfZoa2J\nF548ia++K2D+e4fo9twD+FQq3KUWtCeSfYptEh4fpOb/Dm171up8Cj6fD4vFgsViwWAwRNTj9v/+\n7wXGjbsFvd7AVVfdzrJlu0hK6syNNw7hrbdmkZ+/hwceeCXwepVK4pln3uWvv3bw5Zf/FIgbDEa6\ndh3Izz9/zbBh/+Ljj7cwd+4KvF4fhYU5TJhwPXFxndBqTYDfNbx69dfMnz8/rHU2JyRJIn5gb7r+\n7yEG/rYcVZsMFn64DEhErc5Ao9kL+CgpLeSRGauYP/8PLJZiMjJOolOnk+jb93Ruu+05lizZy8SJ\nd+Jy2dm+/ScKCwuQTLHoRl5EdicjZxW9z7Zt+eza9SM33vAE7dr144nHb2LbO6sxr15H2r8nk5Fl\n4rbr7uBY7mF+fuUJHv/gddplj+CsiYvxeV1YDi8jvVUrBgw4ncWLFzf0RweAVgOXj4Aft8PfPccj\nFxXg+f3HCq8796w0NnYcye5nF0TlvLYTTQrMbgN5JdDTuRFf+z4RHWNvDsz7HFb8BFmpcMdFcONo\nJxcO9TKyP5zdD8YN9ZfUhKI5TioBIZhho1arSW3VKtBiKtJjVDefUhEQtVrNXw8/T+dHbkNtNPDu\nRz41ZWQAACAASURBVEfwemVumFSxBCTS8wWTmqzj+cd7svH3Yt5YepSOc+7H8t0G8lasBuDgcRXt\nYs1ILhuktono3OUJdr+qVCoSExMjmlF5+PBhvvnmG0aNuiJwXTExccydu5Lhwyfy7rtP0b37KSQn\nl91QtGvXkTFjbuKFFx7E4fD3jH3llafYuXMden0M4C+n0OuNnHfe1SxZMpdLLrkEiMPjcXH++bcA\n/l3ynXfeyYEDB2r1OUD9jBKrC7TJiZw3fzb+R0ZHtN6/8HiO0SazP1On/8SqH1rx1XcFbNq0hrPP\nrpjFePToAZKS2qDVernxxmHk5BxEklRouvUlfew4jv76OCa9iSLvv7j66qfIy89h/ZaVZE4eT5b7\nACVffo5t69+0bj2AJ7/7BJVWx/S7XmDcUBWDBo3i/ffnATB69OW89tq8RuNGT4z1t8776CcNttGT\ncX27Al/+0TIJNAaDmq43X0jJbzuw7txTq/N5vV7sNhsGUyzbDuvoY/sRVZd+EKIULBQlVnj3W1ix\n3t/J6PbxcGpPfwZwpEk/IobZhKnKJRvJMZJTUpAh4qknwedV4pTB8ykVASn44ns8ZisZl57Hrj0W\nVqw6xgPTu4Q1FDdSEuK1zHq0J5u2lnCwwEWrof3ZdcdMinfs42ixRFvLiTZ4UvW3SWWfa7D1HB8f\nj8lkilg05s+fz4gRE4iJqejiOfvsiwGJP//cwsGDf1b4+623PojBkMjTT0/ngw/eYcWK13jkkVe4\n7bYn+e67zygt9bvvJk++E6/Xx2efvcuVV15JbGwH1qx5i4ceeg/lZ9KnT2S79MpoDB1LIuWXX345\nkTUci15fiIODgMT11l503/0t0y5vxfbtP+Jw2GnXaTw+n1zu/V9y9tlXMG/eejp06MzUqWdx9Ojf\nAEh6A2u3fccFF17DBb0Lkbbt5/TTJrFq/1es8/ZlRelQvosZy952o+k7+EJk2c20Wx+kc2sJn8/L\nNdfcTkFBLrt2bSE7uw+SpGXNmjWN5nPumOGPaS7dkob0r/E4P3oTPO4yrzn/vDZs6nAWfz5dOyvT\narViMBrZm28g2XOUVmkxyHHVd/ORZdj0F7zyCbROhtsvhN4d/bFg2evFe2gv8m8/4Fm9HOen7+Bc\nuRjXulXIztADtEUMs5lQ2447kiSRnJzsL4MoLa3+DUHvUzqnKHHK8vMpZVlm35Nz6fzQrXh8Es++\ntJfbrmtPanLkgfpwrzM+TsMzD3Uj1iSzancM2U/+m9/mriRJ68BQdAAyw59iEHy+YOvZaDSWaT4Q\nCW63m/nzF3DeeTeE/PvcuQ9x8snD6NHjNG6/fWzAklRQqSTuvfd51q//innzHmLy5PsZNmwUo0aN\nIzExizlz7gX8HoTRo6/kgw/e4JxzRmE0pmK3W/njj28YPPhSwP8d9e3bt/wSWgQjR45E6RXrdB4h\nLS2brKy+9HvpSbx2J0fveYzcTc+QkdGHbbvdzJ57gF82leD2+Ni1ayM2m5lLL70RlUrF7Nkr6dCh\nC9OmnUtpaQlr1nyOy2Xl5F5XsPaxD5B//IUbLr8dSdJwbNtjXDlSxSVnqjn7FB9rVs1CpzPw2WeL\n0Gg06HQ62rRpR5s2PVi4cDYqlcTZZ1/Ca6+9HpgjWl23ovpgSA9IS4TPrEMhKQ1++KzM32NMatpP\nuYSi1T9iPxBez+fyuN1u3C4XDjmWvGI4ybcVX5vu1b7P4fL3w/1pB1w3GkacDGqVjPfQXpwfv4Vt\nzr24vliKfPwYUmw8qtYdUKVmgsMGleQelJaWihhmc0ARktr8cFQqFSkpKdhsNuxhjodSJqY4nc4K\nfV8VCr74Htnno9UFZ7J0RQ6tMwz8a1hKjdcJ4VkzOo0Hk8nAV2sK+DlxIN6xl5CwfgW0ah92k/Vg\n0bfb7QHr2RgTz7db1Lz/fc1cZCtXriQzsyMdOlTM0t2zZyc5OduZPn0Ws2YtQq9P5K67Lqrwuv79\nhyNJ/lZwEyZMDvz7zTc/yC+/fBewMm+4YTput4dPP32H66+/Hp2uNV9+OY9x425BpdIDWvbv38+z\nzz5b4RzNmX/aBfoAB6mpoygqOsJ5592ANiWRNlOvoMvs//Bn3p8MLE5grHcDFw3VsWO3hf/+bx/P\nv/AkrVr1QKX2d2dRRDM21sjtt49j4cL/o1VMJxxPPUdml1QGz3uAlHbpXHbZ3az5YTk5f+0BWWbu\n3Kfw+Vw89NDr7Nq1mcLCfybOXH75VLZv/xWPx83ZZ4/nxx9/pLS0NDCT0e12B7pHlRfR+kCS/DG/\n46Wwscu1sP9PvDvL9nUec2FHtnT4FzufjDxeLssyFrPZ74o9oqeP/UdU2f2hGu/Q0UKY+ynEGOHm\nMf/P3llHR3Wtbfw3PpmJhxAnCQQIDiG4BqdAKVKclqLFWgq0SAulxeoUSrCiRYIWKV6suLsElwjE\nk8m4ne+PSQbSBAqF3u/ets9as7JyZO+zj71nv/I84OcpYL19FeOSrzFtXobYLwiXwRNwGTgeUfPO\nSOs0Q1a9AbKajZE36/hUVZZ/y0r+x/GkS/ZVQCKR4O3jQ3Z2tlM6rCjkz7RMJpOTvaaoRBdBELj3\nzULCP+zPo1QTG7Y9Yni/sD99vC+yn8FoxN1dzVcTy7H7cDZGL3/C/XJ4sOX0C/VptVqdJOlubm7c\nSVEwY52NTI1Aq5p/jtnm66+/pVq1ZkWumzt3IqGhZQgKCkcqlTBjxkbu3LnO8uXfFthu6tQRyOVS\njEYDp04dcC6PiWmJl1cAs2dPABzMIk2avMnatT9Sv359FAofTCY9Eyb0oESJeoAVcGHKlCncvn37\nT43nfwX58apHjx6xb9+BvKViPD2b0aBBVWw2G+3a9XJuf+XhBayCnd6zYhGsNkxff0ujq+voVyqR\nR0knKRbQlqnf32XazDvMXHif2UuSiAifQUb6HdLTL9FJXZ5yEwdSacxbiPLqcLt06YOrazF++Okb\nkq5eZteuZfTvP5bq1es4SQvyUadOI5RKD1atmo1K5UrDhq1ZseLxLNTFxQWVSlVA2s9isaDX650z\nUbPZ/MoJS56ETAo9msDxWzJu1XkX0/Y47OmPnOvVKgklhvUga/t+jAkPX6hto9GISCTiVoYaP/M9\nfEL9QflsGa6Ld2DpLmhazUEfKMl8iGnlD5h3rkVWqwkuQyYhq9MMsZtDtu9FuWT/NZh/E7wqAvb8\nQvvMIjJnfx+nVKlUz9QizD58BktmDsXbN2P+Tw/o1MYfP9+XIzl/nnEKgoApr/7Sz1fB22+XJefu\nffQuxUlYvIWUn5+uupAPm83mVL5Qq9VYcGXFHthxwkbnRhJ6NJXioX5xw5+UlMT58+dYunQqnTtH\nsGvXCucx63S5XL68j/79P3ZuHxQUQv/+k1m5ciZJSfcAuHbtEkePbmTixLlER7fiu+/GFuhjwIDx\nHD++F73eQVAwcOAo9Hod+/b9wocfjkYu90csziIpKQmH3iOAiGrVqv3XJJb8lShbNhLHa0KMWl0X\nd3d/rl3bRenS9ZA8kUjy888zCQ2NQh0USGD/LpRb8gXezety5eQOrFYTvRISeCttPZ0ebaLZ1Tia\nHZnDG9c3Ud6rEiDCvU8L3CoVVsEZOOBTLp3fw/Qfv8PDzZM2jdsA0LXrEE6c2If1CYacmJiO7N69\nAYAWLbqyZMmyAtconzM3n63IxcXFIXwskyAz6xBp0rBnJGF6dA9jaiImTRbmvJnoqzKiHmro2sjO\n9lvBZNbpgXHdggJxwLYdI7gS3ohLkxY8d5t2ux2dVote8ECjsRGpeoRQ7OlJgnY77DoNe87COy2h\nUgkL5v1bMCz7DknpSri8OwFphWhERTBtvYi8158Rrv9vx78G8yWhUquRSaXk5NV+CYJQZJwyn4Pz\nabj3/RJC3+/DpRs6rt/W8ma7wJc+tucZp9FoRCaTIZFIsNkhxyynTdBN5uxzRf75ZOJHTi1An/ck\nnvwocNStunD0qpgffrZSoriIEZ2lRASJEex2bCkvLmMUFxdHy5Y92LgxgerV2zJjxghGjmyJVpvN\nkiXfoVa7UatWiwL7dO78NmFh1fj4Y0em5pQpQ6hYsQbR0Y0YO/ZrsrLS2bt3k3P7Jk1ao1YXY8GC\nqYBDhLhmzVYsWzaDatWiKFmyGhaLic6dexASUgswAj6AiIoVK77wmP6XsGjRIgTBjmNm7Y+7ewQ9\ne3blxo3zdOw4FACj0cDZs4e5ePEYAQEluXnzMgBihRzPBjU5JL5BaGhVKsycSGD/zgR2aUVo3w6U\n/mI0FVZ+y11TAgEBpfj22w/QanMKHUNMkzZ4eARy9+Z+2vX8iqRkA6LE67Ru+hoymQsrV87Ku8dF\n9OkzDK1Ww9mzR4iIqICbmyf79u173JgggD4HUepdxHfOIrm0D9mpzcjPbUd55zTKR9dxSb+HOvM+\n6ofXUF0/hOrcVmSX92O7dRZjagLGvJnoy+iIhvhCiygTq5OqoQ2s5CA1EByGXakQU3r02+Ts2I/+\n9oPnak+r1SKRuRD/SEmU9QSikk9PTjOaYcVeSM5wUAf6Gu5h+HE69tRkXAZ9jKxWDKKX5Dl+EcP6\nv4Z/jMH8qyS+RCIRnl5eGI1GtFotGo2myDjls/rUxd8h9+wV/Lq14cflD+jXIwSF4j9zaYxPqIw8\nyhHhLjfhJdHyevdqfLlDjOuHI7nQ9X1Mjx7Hi/I/Cp4UrU7JkbFgm5ibSQLDOkhpEiVBKhFhuX2N\n3DmfYdiz8YWOSxAEli1bQdOmPVCr3Rg3biYLF54hM1ND377R/PrrUlq27FrkvlOnLubRoyQmTuxP\nRsZ9Jk6cD4C7uzt167Z3Gsd8dOkymP37tzpnK0OGjCUzM5XLl08zYEB/pFIfdu6cy5AhU5HLPQAd\nICExMZE5c+bwd8W4cfmzdzHFitVBqZSQkxOPWCwnPf0hffpE06mTPxMntsVmM3Pu3DY++KAR7dr5\nMWpUJ27evMyVKydo0aIHMh8v1JERuFUrj2vFsij8fbl06Qx6fQYzZ27Fzc2fzz7rU+RxeHoGAiIa\nVCuJRh3CZVsZzPdv0qxmM7ZvXYnIqAW7DZVKTZkyNfjpp+/AZqFZo3YsmhuL+N4FJFcOID25Cem1\nw4izH4FSjb1EBaxVW2Gt2QFrtVbYKjbBVqERtgqNsVVpjq3G61ijX4fwysjlMtRJl1Ff2YM06Rpm\nrcapI2o0Gl9IjFsQBMqXsFGnPKyxd0BnsGLZ+1ierEW7cK5VaMGZMbP/sC2z2YzFbCY+1Z3Spguo\ny1YAcdEGLz0H5m8Dbzfo3dSG9MQ2jHGxyOu3QtFlkNP1+rRjfhH8XY3mP8ZgPolXrYkpCAIKpRJN\nTg5yubzIOOWz+nwwdyVB/btw8rIeo8n+0mw+z9Nn/nEbjUaUeQbzfrqYEuabEFSWyhU8GDMsgmln\ng1G83pbzbw7HptMXIElXq9XIFGq2HhdY85uMehUE+rWW4OMuwvYoEe3ymeg3LUXZuC3qHkNf6NjP\nnz+PXm+kQoXazmXBwWEsXnwUb+9SGAzZNG3aqch9fXyK07Hjexw/voPmzTvi4fE4rX7kyM/Jycnm\n1183OJe98UYPpFIlK1bMzNu/GGXK1GD+/KlERpajXLnaZGU94v79S7zxxgc4ZpnegIixY8dieEna\nxP9GdOzYEUeSD4Ar6elZdO7ckY0bf8Bq1bNkyWjKlavA7NmHqV69CSEhUWzY8IAtW9IYO/ZHLJY0\nRoxogNlsoEmToiWeVq2aRVhYWdRqNz7/fCnXrp3j8OFtBbZJT0/h/v3TqFSezJv3KSW9dfh6S7nm\nUpMGnT9FZ9BzcucKVHdOIbl6kD6NY7h18wrGi/tIvXWD7Xv2kZSWhT2wLNao17BWb4Mlog4an0hS\nxYE80LpyK03OtYdyLic7flcfyrmVKiMxS0qWWYHVzQ97aGVsVVthi6yP1G7B7fpvuKdeRyGyO7wz\nNhsmk+mFjGi9ClAmBNZ5D0F3PR5LXnxdIhFR5/O+6I6dIevM1adeI8FuJ1ejIcPogdqQSkiYFyiL\nFm2OT4CFOxx9vlYmDctP32FPuI3LwI+RVqr53MbtVW/3v4Z/jMH8K2aYT7ok8xXtDQZDkTfLU+sU\nszSkbNhJYN83WbI6kT5dgxG/IiLMPxqn2WRCkke2rjOBxgD+msvgXxKAmlGefDAwnC/T62APDedc\nz5FoMrOcsdu7KRJmrLdiMAkMbmuhckkBe3oKurULyF3yLdJS5XF/fwryijVe+AFatWoVjRt3KbSf\nVCpFrXZHKlUwYkR7UlOLdvWqVA5iAo2moJvP1dWNevXas3ChI9NVEBzXsUWLHmzb9pghpmLFaO7e\njaddu0pcurQFEJg3byh79iwFBEALOGgEQ0PDXmhs/+3Izc3lt99+w/F6kAAhgJU9exbx8OFdoqKa\ns25dEmPGLCU8vCKXLx+jadMugCMDtl6915k16yCRkTUAMW+/Hc2lSwUTyOx2O1ev/kaHDoMAh9JM\nkya9mDFjdIG45A8/TKJYMX+GDp3G2bOHSE9PwdvFROVgE8V8PQgv3Yh527cRXyyGpMDGBMf0RaX2\nod+301i3fyOhYeWJ3XWBK4ZQTie789sNF/bEqzj7QMm9DCkagxhBABe5HQ+l46eS2xEEyNSJufZQ\nzr54FcfvKLmdLkcn88ZeKhprVYcSieLSHhQP41HKJKhUKtRqtVP39vdG1GQyOY0oODJnW1SHoOJi\n1gR9iOboQSwXjgMQXcefhMZdOD3866c+w1qdDrNdTmqWmIq+GvAqTH1ntztilb8cgx5NBKroj2JY\n/BXS8lEoeg5D7P70WeWTeJEZo8Vi+Y/LJ/6n8I8xmE/iZQ3m0+KU7h4emE2mFyJqT16+kWItG3L6\nvsOFWbfGf06P6EnR5/sZYoIlKUj8CpaS1KvpxeC3g/lO+jp6vY2ksd9is0tZ95uNnw/a6FhfQtcY\nKS6aZEwbl5C78AvExQPxGDkdZd3miKQv/uDYbDbWrl1PTExhDlez2cTNm0f59NPFBASUY+jQFpjN\n5gLb2O121q6dSfXqjTh+fI+TbzYf778/iezsDA4c2IZer8NqtdC9e3+MRhPz539B9+4N2bRpAVKp\nkvDw0qxbd5rw8EaAgMmUf231iERugAij0cDMmTNfeJz/rahUqRKOV0N+4bkHrq53OX9+C3K5O5Mn\nr3fqpcbHn8Jo1NOuXe9C7dy9e5W+facTHd2AceNeZ/fux275XbvWIxI5EnXy8f77nwMyZs8eA4Be\nn8uZMzvp128cjRu3xt3dj+UrvkWn1SHYrfi72xj53oekPbqNUfMAk01ChkGOVO5GdtYjRnyykY69\nJrN+1RJUchslvK1EhxppVk5Pw9IGaoSZqBhkprSfhTAfKyHejl+Yj5XSfhYqB5upW8pIk0g9EcXN\nmKwiTt5TcvyOkiS9GmuJqlirtEBk1CE9txNR+gNEODLo5XK58yM634jm6/JaLBbsdjt6vR6z2UTL\nKAshARLigseTsW8flnMOgvm2X/dCm5zB7VWFE+8c7xkTN9I8qK66iTiwZKFtcnSwdLeDNP3dJrkU\n3z8f64l9uPQegax20+ciJMnHi7L8uLoWPdP9X8e/BvMFkc9cU1ScUiwWO4naf59BWVT9p2C3k/jj\nGoIHdmP5+kTe6hL8Sl0Zzxpnfr2k0sUFux0SMsSUyDkDTxQ6W61WNBoNNaqqGD4oglj/Plw1+fP1\nEg1yqcCIzhLCTfHkLpuBZfUcxH5BeIz8ApfGbYtUmX9eHDlyBA+PYpQoUbbQuvXrF6JQKKlVqxk/\n/LAJm03CqFHtC2yzdu1irFYDkycvJTS0MlOmDCmwXq12pVq1pvz44zQUCiUKhRJ3d0/8/SPYsmUp\nERGlWb78EO+++xl3797AZrPxwQcfAuo8YoQwQI4gpOKYbcKECROfWV70v4IzZ86QmZmJY/ZsRSIJ\nQCS6gKenmsDAklSuXDDJ6uefZxIQUB6l0qXA8itXjmE2G2jXrgcff7yErl3fY9asIezcuR6AX35Z\nQqVKNQvUIkskUoYO/YI9ezaQkpLAggXf4ObmQYMGbQHo0WMER47sRCaXoNPqsJjNhIeXpnjxcDbG\nTSbUx0LcvCHocpMAEd6yVJrUKo9SLuPB1f0Ud7OhVggvrGQiEUMxVzvlA8w0KmOgZDELydkyfrvp\nwj2tO+aI2tjK1EaSeA3JtUNgLCgJly8Ynm9E82eg+eLoNpuVRhX0lAuz8ZP/GO4cvojxt20U91Mi\nvDuU2x/PwKp9XO9tt9vJ0eRyJ9uLKtJ4XEoWfE4EAc7dctRXlgoQ6Ol/AvGyyYiL+aPsNwaxX0HR\n+FeNvyvLD/yDDObLumSL4n0tKm1akfdAaH7HAlSUIczYexSpuxtXxQ5B19rVn8898rx41jjztS9l\nMhmPNCLUIj1ubgpELm4FNCrzxxpVtRgN2kdxokZfKu2LpXLcKEzzPkW/PQ55hWgUQz9DUrvZSxnK\nfKxZs4769YuOT/766wpq1mwCOFRmZs3axs2bl1mx4nHt5dq1s2jRojNSqZTx47/n9u1rXLp0EkEA\nk8mMXq9n2LCJpKc/5Nq10wiCwIwZn/Lw4XVAoGfP9/Dw8KJVq/YoFK6sWTOPEiVKUKlSI2w2LYMH\nT8LDozQO9p/8R0ggICDgpcf+/42YmBgcY4oEtNhsiZQqVZ5Zsw6TnHybzp0HF9j+woVDNGjQoVA7\nGzbMIjCwInK5ozSqd+9x9Or1IbNnD2fv3i08eHCerl3fL7RfkyZtCQoqz/TpgzlwYA0dO/Z3rmvb\ntgsKhRvLln2D2tUVg8GAwWCgU6cBnD59kCVLZnPq1E6+/HIlZcrUYPnyWYhEIpo378ySJUtfyfkR\ni6C4u40aYUaiSpjI1Ek4eNOFB9YAzJWaI3gUR3pxD+KkeBCKLjsSBMFZ3pJfI+rqqiammoy2dWCj\nz0AO3nRDt3YRTfpUJdU3gv3DZ2G1WrHZbGRl5ZCmcyHcdg/P0qXhiXdLShYs2w3HrkKv6mnUvDAT\n24k9KLsNQd70jT/l8ck/5uf9mNdoNH/LGkz4BxlM+HN8ss/ifX0aPDw9Mej1hVyFv+83adE6gvt3\nYc3mh3TvEPgfDZQb9HpUee7Ye2liwgxXIKhsIY1KhULBpbsC36+3Euph4oNim6lV9iE2m47Ew8ko\nu3+AIrrBn34Qfw+r1cqmTZto1KjwSzglJZn09Dv06PGhc1lwcCgDB37B8uXfcufOVfbu3Ypen8G7\n704CICwsgkqVGvP116PQ6XRYrVZUKhXBwSFERtYlNnYSc+d+yb59q/n88wWEh1djwYJpgON6tWjR\nhV27NiCTyRk7dgIg4/jxtYwePRupVAW4kl+faTabGTt27P8rBdvLYO7cueSTq4ODns3TM4KZMw+w\ndes85HJ3KlWq4dw+KekWWm02HTr0LdTWxYtHiYkp+NHTrdso2rfvz3ffDUQud6FSpdqF9gMYO/YH\nbt68hCBY6NRpUIF1b7wxkN271yMWi3Bzd8dus9GgfnNEIhnr189k+PDJREZWoXfv4dy8eRm9XktM\nzOvs3r07b+b86uDhYieqhImoEiYe5kg5ckfNI/cKWCo1Q5SdgvTiHkS5Gc/dnlgspnyYhMHtxaSU\nqM9iazfubNhLg0/aYdu5m9t7zpOZkYPWCG76VDxLBmHNu9ceZjpkuJbsgjLeubxjX47X5q+QRlZB\n2X8skqCwVzr2Z+HfGebfDM9d0P8M3tdnQSwW4+HpSfbvCNqf7NeYlELWkTNkVKlPRpaZhrVfjgKv\nKDxtnPnuWBcXF7RG0OgF/IRkNGKXAhqVepOIFbtM7DqUSyftchqcnUKxQHfUgz9lgf9IDqb6c6xe\nNzIPnnxliVRr164lIyOdCRP6sn9/wYzJ5cu/x9u7OAEBBYuyO3bsTWRkA8aP787SpV9RvXojlEoH\nDZvdbmfEiCmkpCRy/vwhVCoVEonjth8+/FPu3r3Otm2LGDduFlFRDejffzQ3blwkJ8fxcn3rrSEY\njXoOH96Fp6cX5cvX48KFXxGLJdSv3x2JxAj4kc81O2fOHOLj44vkMf1vhtVqZcyYMYALrq6RQCqg\n4quvtgPw668rqVSpIOPS+vUz8PEJx/13iSN3717GYMilffvCcc0BA6Ygl7thsZjQanOLPJbw8NJI\npW5IpbJC9JHduvVHEERs2LAAkUiESu2KXbDnFcoraNLkDQRBICqqFmq1NytWzMLNzZMaNRqxdu3a\nIvt7Evfv3ycuLo7Zs2ezdetWjh49ysWLF5/pbvdwsVMjzEhZfzPXH8k5neJDdsnG2ALLIok/guTW\nKbA8Jif4o9mahxp6NRfzWow7pwI6si6zDrqxn6JJz8ZisyPSGZH7BXMrWcLeczB7s8Dy3Xa8DPcZ\naJ1Pld8+R+LphWrYZ8hqxiB6SpnJi+BfpRIH/jWYv4POBLdT7Jy7a+NiopQkrReZJjcMlhc7Vflk\nBVptwXhGfr/JP23Ev3Mr1u/J5s12AX+JGsnTxmnKz46VybiXLiLIdg9zsRK4qFQOiTGxmLNHHvDd\nCg2qqwcYIFtNRJNoPEZ/hUuT9niF+PHlxPIUHz2MjSW7cbLnWC73n4DhKYXWVqOZk7N/eS6Devjw\nUZo3746vrwdffNGbHj2qc+vWNQCOHt1Ew4bti9xv2rQlaDQaUlKuM2zYZARBwGw2o9Pp8PX1Izq6\nNXPnfkbhZ16Ev38wdes2B6Bq1Rp4ePizaNGXgEM/s1Klhixf7kjqmThxOna7nd27F9OsWS9AjFxu\nRSJxkBkA1K5d20nBls9jmk/Blp8l+VdSsP0ZVKtWjfzZpVa7AxATEzOaoKAgzGYjiYk36NTp3QL7\nnDr1KzVrtinU1vr1MylevDQqVeHED40mC7M5Fzc3T0aO7FzksVy8eAqbzUEnuWfP+gLrJBIpTZp0\nY/36hYDDGzllyghcXVVYrWbOnT1CrkaDXq+nUcP27N27GUGA5s07s2jRkiLPeWpqKhUrVsTdpAfb\nKQAAIABJREFU3ZNKlSozaNAgxo8fT48ePWjVqhX169fHx8eH0aM/xGQqWjFZJILibjbqRRgo7mbj\n1H0XLppLo63YGkEqQ3puJ+KEq4VUSp4GkQjKBMOgjkp6tVMRWT+coKZVuXHDxOojrqzcauDY4XTs\n8Rdp9mgFg++OpE76L7hElocBH2OOboze5igbe1miBXhxg/nvDPNvgGe5ZNNzRRy6LuHQdQnpGgGV\nQkwxdykKmZj0XDGHb0g5eF1CQqYI+3PcdyKRCE9PT7S5udjy0uSdBOU2G8k/bUTati1X4nNpGeP7\nagf6BzDo9Y7Zpc5AQrqIMOMVVKHlkGiyyNi1naVzz7PnsozuJeN5Y2BdPHsMQla2cgGqLLFYRKe2\nAUxY2YvrH/7ArutKTjXrz6+1enJi5AwufBfH0U+XsKXtGHaENOXGnDVo07XPOCpHnHjLli307PkR\n06dvYt26W/j5FWPo0Hp8//3HaLWpdOnyXpH7qtWuBAaWBxyZiDqdHovFgkqlQqlUMnr0dNLTUzh8\neAcAVquNMWN6EhQUTkpKMlrt45hz+/Z9OHRop3NWOGjQhyQm3uXhwwTc3DwoVao6Bw+u4pdf1lK+\nfDNAg83mKGNxlGE4YoFPxqjUarXzIwpwGnOdTvfKXmp/FocOHeL+/fuAHJHoHmBHJCrGO+84FGK2\nbp2PXO5G5co1nfvk5KSTlZVCp04DCrV35sw+6tZtV2Rfq1fPw83Nix9+2E1Kyg3mzp1WaJslS74m\nIqIiMTHdWbBgSqHZ+YABo9DrtRw8uJX9+3dw/foxPv98EaVKRRG3Oha1qysSsYg33+yDTqfh6NE9\nhJaIRKvVcWD/fjQ5OeRqNGhzc+natSsRERE8ePAAicQdmSwYx2vR8awOGTKNGTN+YejQaVy4cIsm\nTZqRnJz81HMpFkGoj5UGpfUopAJH7ntwRVETbbnmiAwapGe3IUu4gtj0HKINdhuWRwlkPsrCK1CF\nxCJg6tOPmgkbea/GLd6u8oDmNSWUaR+D60ffoOo5DJfoBqg9PFGr1SiVSiQSidNb9mSN6F95v/1r\nMP9m+L3BFAQBvcGEnzqXBhFaakaIiQwSE+4rUNrfTlSYjRYVrZQNsPMgQ8yBa1JSNX/8tSWVyVCr\n1WTnxQTz+83cfxxZMS+23fGgTXM/lIqXd5k8zzjzx2owGLBYrSRni/EiC6XIjnbxt5xctp05iQ3x\njQzng37+lG5aC7H62a6VYj5y3n+vAgN2jEU//yeuR7XjxJksjq84wtVfL6H1CSJo+Vx6XlmOm++z\n2zpy5Aje3v4E5qXIu7t7M2PGLoYO/ZLt22NRKl3x8PCmqGfcaDSSkHABT88AJk58B7lcnud+dZxb\nLy9vatZ8jblzPwdg2rTRWK165s/fjpubLz/++PjF3alTb+x22Lp1JQChoSXx8yvJggXTAfj44y8Q\nBAsnT27l0qXLmM0G5HIbcnlAnitYwfnz5/Nigo+vhVgsRiKRIJE8rtnLf6nlS7/9vmbvPxEPbdOm\nDfnSXY6uZERHv+586e3Zs4IKFZpw7NhePv20L2+/XZ233ioHCHzwQStGjGhPXFwsRqOBlJQH5OZm\n0alT0XJshw9volatZvj4+DNixHds2zaPS5fOONdrtbncvHmcPn3GMnz4REwmExs2FORVdXFRExXV\nnCVLvuaHH8bRrFlHwsPL0afPB9y4cRGDQYdC6YJvcX9KlYpiw4YFuLq50bRpJ+JWr0GuUJCYlERQ\ncAg7duwCFLi6lsRmy8ZiSaBLl/eJjT1EYGApFiyYgjbXgF5vQy4vRnx8PJGRkVy9+nRCAQCZBMr4\nWahXylGGdDjRl/PqhqSVaY1gt+MS/xuSC78ivn8RUXqCI9apy0akSUOUehf7zTPcvXCHY1kl8Ckm\nwt1dhV8JXyIXfYFp7hIOngdp5VpIy1ZBEhCCSFKYKEWSl9SnUCgKlLcUdb/9EdHCixKv/x2lvQBE\nwn+TX+gvRv4LyGq1otPpcHd3x2x2ZE3KZDInQfqzIAiQohFxOVFCMTeBikE2pM+wd4IgkPLoEZ5e\nXlgsFhQKBfH9xqGqFc3o0xEsmlEFH68X17t8HhiNRmw2G2q1Q7XAZrORk52NyWzGw6TnREoxIg2n\nkCTeZadLB1KtHnRpLKGE34t/R5nNZmepzZ/FiBEjMRq96dHjo0Lr2rULwGQyEB3dlk8+mY1K9biM\nQRBg3rwv2LnzR2bN2snAgQ0ZNeprWrToUqCNzMx0unePok+fj1i69EumTl1KdHQjVq1ayMqVX/Pz\nz+ed13/atI+4fv0Ey5YdAGDXrs3Exn7Mzz+fQyqVMmDAGzx6lMB77y1i4cLxaLUPgCAgkYCAijx8\neBEQuHLlCiEhIc5jyH8pKZVFZxMLgoDdbsdmszn/CoKARCJxGlyxWPyH9+nzomrVqty5cyfvPzlS\naSRW6zXWrElEoZBjtVrp3NkfiUSGINgoUaIs5cvX5rffNhAQEEmNGg25evU416+fw2Qy4OUVgNUq\nEBd3tlBf6emPePvtKixceJSAgFAAJk3qxdWrF4mLO41EIiU2dgqHDq1h9erzAMyf/xW7dy9h3bpL\nBcackpJM3771UCrVrFp1wknA0a1bXerXb8KwYZMBOH36KJMm9WXt2lOYTAaGDHmNbt26smDBAkBJ\nhQr9iYnpy5w5PRGJ7jBnzn6Cg0s51IPu3WTkyNaYzVrkchd8fQNQqVxJTr6Hv39xDh8+5Hy2/ghm\nKyRmy0jKkmKzC/ioLfiINbiaU1EYMsBswowcjdiTdEkAaRTD31WPvyoLlYsS1RP9XJm7ibvT5qGc\n+T3NOv6x3uWz8Pv7Lf+Xf4/l328Wi8VZCvNHmDp1Kk2bNs3TUP174R81w3zSJWu3259aT/nsNsDf\nQ6BxpBVBgIM3pGiLFh139uXp5UV2VhYA5vQsMvcd55xPdWpFef1lxvJJODN9MzOxZKUjP32AtF93\nY5PIEStVzBf6UCzYi/c7Sf+UsXxVx7h582bq1StMo3bt2ilMJiPffvsL587t5LvvxjnX2WyOAvBf\nf11JkyZvEBoaTvPmbxEbO7GQK8/buxjVqjVnyZIvqFatLtHRjQDHjBLEbNy42LntwIGjSU9PcZKJ\nN2/eDqlUydq18wAYNuwT7HY9x4/v5r33ZgJ25HIR4ElKyjXEYgd1XoUKFV7oPPy+Zk+tVjsoCIuI\nh76sJNXRo0e5c+de3n9ioDJW6x38/KqgVCrYsWMNXbuGAdClywg2bkwlNvYYAwZMR6/XMHjwl/Tq\nNY5p0zazYcMDxo9fTGZmErm5j4iLm1uovzVrFuDpWcxpLAHGj1+M3W7kiy9GA7B//5oCHMH9+4/C\nbhfx009fF2jLbDYBInx8fAs8t61b92T//sfizNHRdVGpPFm50pH8Y7OJ8oyljNatv6Nx43eIjR2E\nSHSb2Ni9BAeXwm63M2vWpwwf3pjAwBBKlCiNVKpi5sxf+OrLdSxedJigoEiGDh2OyWR6Ts1ZKFnM\nQv0IA5X8c3GRCaTavLlsK8cxSQOOuTTjslsDMrwq4h3gSd1wDQGqTNRqVQFjCVBh8BuEvtsF3aiP\niFt0BfvzxIiegt/fb0WxFRmNRqxWq1PP9488H/+6ZP9GsNls6PV6BEF4Zj0lgGA1I5gNCDZroXVS\nCVQLtVHK18bhm1LSnuGiVSqVyORyTCYTKet24NOqIZsO6ejwWmEqq1cNm81G9sMkLAe3I6yciVUi\nwzUikqSGgylhus6WpPL0aSnhtVoSZNI/n3j0slmyZ86cQaFQExpa+It59ervCAoqT6VKtZkyJY5D\nh1azdOlMjEYTer2e+PiL6HRp9Os3HoARIz7HbhcTG/tJobbCwx3td+jw2GUoFotp2PANNmx4bDCL\nFStOaGgFFi784oltXmfrVgd9XpUq0Xh4+HH69EY0mmzCwqJxeKE8sNttCMLjOFhwcPCfPi/gOLdF\nxUOlUmmB5KYXJQJv1aoVjpirGCgPuAAG3nlnHCNHvs6CBcOQycRUrtyaXr0+dj4n27cvQi53IzKy\noCpG5coNAIF27fqzatVkPvigU55hc+DYsS3UqdOqwD5yuZzx4+dz7NjPxMXNx2jMoXv3x/WZEomE\njh2HsmnTkgKUedOnj6B48UCSku6T/oSmZI8eAzGbTezb95jM3CH79TP9+7dCp9MCImSySE6f/oXY\n2D7IZDcYNWomISGl0eu1DBzYjP37f+Kjj2YTG7uXH37Yi1QKn3wyCLlCjqubG++99wWnTp1h/fr1\nZKSno83NxfocxBUiEagVNkK9TVQNMVG3lJHGZQw0LmOgTkkjlYKMeMtz0OsctYz5TFy/R6WP+1K2\nX1s8pnzEtPFHSMswF7ndn0FRH235daP5bEUGg6FAJrjFYkGr1WK329FqtS9lMM1mM/369SMsLAx3\nd3eqVavGzp07X9n4Xgb/KINpNBrRaDTOuFY+00Y+BJsV4dEdhEsHEI6sg2M/w6ltcGQdwtH1CJcP\nIDy8hWB9fHOGFhOIDrNx9r6ExMynGxxPT0/MJhOZB06QVbMpXh4yIiP+Ovoom82GMfUh1t3rYPGX\nSI1aJF0Ho/Lw5LyoChm5oBCMvPOGByHF//9vgy1btlC7duGMS4Dz5w85uUqrVKnP4MHTiYubzqlT\nDpfYypUzKVmyHK6ujriJVCqhf/9JbNu2soBklNFoYPPm+bi7+/Ljj9ML9NG//yg0mizOnj3kXNa7\n9/tcuXIWvV4HQN++76PRZHHx4kkAOnToiyBoWbNmLo0a9SYt7QGtW3cEvIAs8gnaNRoNb7311is5\nT/A4Hvq0+NTTOEyfnBVUr14dx+NvBQIAH2SyNMRiCTNmDCAz8yazZh3GbDby+uv9C/S/d28ckZH1\nCx3Xpk1zUKt9GDRoMnPnHuLhw8v06VOH7OxM0tIekpWVQNeuhZO2oqJiiIpqyIoVk4mMrOosCcpH\nz56DkUiULF7siDOfPHmQBw8uMW3acnx9w5g377GQtEwmo1q1JsTFPVb66N37XfT6XNLSUvPGK8Ji\nuUZa2gHgMlarkeDg8mRkpPL227UxmzNZuvSEMyNbKpUyffo6rl8/xo4dP3P+/El++WUNISEVGTdu\nPDabDZFIRE5ODpmZmeh1OidfbFEoKh6Yn5iTlZmJ1WLBy8sLueLZeriRnwyk8sd9qLd6El+8s46V\nGx6Sqy38cf+8EASB7BwLV65r2Xc4k3W/PGJxXBKxSx4wf/kjlqxOYd3WDH47puV+koBSqXJ6PqxW\nK59//jnh4eGcO3eOefPmsWnTJhITE1/4Q9pqtVKiRAkOHjyIRqNhypQpdOnSJS8x7f8X/6gYpslk\ncvrnMzMz8fLyepy5qs2Ci3vB1Rv8wsHTD+Quj2dOJj3kpELaA8hOcWxTogIihePh1hjg+G0pZfzt\nhBUruubu4eVr6O4lMv9MIC1jitOs4avPjhUEAf3DRMwHt8Oty4iq1MG9cRtEru48fPiIYzc8MKKk\nisttKlQqjkj1aoLz+XHhPxvsr1y5GkOHzqZcuRoFlsfHn+G995qxadM9FAqlMy47b95YDhzYwrJl\nJ+ndO4rx42Np2LBtgX27datNREQEU6b8BMDUqaM4e3Y33367gYEDmzJv3jZKlizvrLEbPfptDIZ0\nYmN/cbbRpUsdmjZtw6BBDqmrESN6YbfraNCgPSdP/sbVq0dxzNKkgAmRSI67eyQ5OVeJjGxIfPxh\nwNH+0qVLaNeu3TNjmK8ST4uHnjx5kjfe6ED+DBhqoVIVw2Tahc1mplat1xg7dgV7965g3rxxbNyY\n7HR72u122rf3ZezYFdSrV5Amb+DAGoSEVGXCBIc71mjUM3x4DJmZWdSs2ZZLl3axYsX5Io81Kyud\nXr0qUadOCz75ZGGh9atXLyQu7kvWrbtEv37NKFWqFJMmLWLfvu3MmDGCuLiTuLo6ZjUJCfd4990W\nLFiwi4CAErRvXwG7Pd+QuACtkEhEKJU5wBkCAsK4ffsyUqkKPz8/YmP3FvI63b4dz8SJPcnOfohY\nLEWlcnimdLpcWrZswapVKxAEweG2NBqdpVsyuRy5TIY0z7CIRCIMBoNTg9ZqtTri/0ZjXl2putCH\n/B8h+8gZrg6YQHJIFTb7taVKnSBqRXkQGaGmmLesUFt2u0BGloXkRyYSko3cTzRwP8Hx1y5AcIAC\nP18FPt4yPNykKBVirFYLAhK0OjtpGWYSk418NaEMcnnBj+3k5GSGDBlCzZo1uXjxIqdOnaJGjRps\n21awpvpFUaVKFSZNmkSHDoUJTf6T+PtJYj8DUqnU6dbJN4TOm0nlDpWbInItTH4uEolAqQZlOPiF\nI5j0kHANTm9DCI6EkPK4u0ioV9rK0VtSBAHCfQsbzcxFP6Pq1Y5i3tCwzqslKhAEAVNGGob9W+D6\nBRS1YpC+NhkjYlC7cfa6AZkgwtNdjlksoZQsE5Gq9Cs9hj+LW7dukZWVRdmy1QutW7v2ewICIpFI\nJOj1OqRSGYJg56OPYrl69SQDBjRCJpMVMpYAH3zwNRMndiMp6S4qlQcHD65n7NgZhIVFEBZWhe+/\nH8+sWY/FpAcNGsuIEe1JS0vG19ch4N2iRVd27VrBoEEfk56egsVi4d69ayQm3qNUqXIEBkaQnHwb\nudwTmQx0uhRyci4CEB+/j3r13uHIkaU4BI77cObMmQJJQH8l8l1r+R4VcHzYOIylkPfzRS73QKm8\ng15v5rXX3mXIkG+w2azs2rWM0qXrFYgRHjmyCZFITJ06BUkMzGYzycl3GD78B+cypVLF/PnHGDas\nEQcP/kSzZt2eeqzr1i1CKnXh+PG9PHz4oBA5RZcufVm/fjZjxnQjOzuZ0aO3ANCkyWvMmzeJpUu/\nYdgwRwZ0SEgY/v4RLFgwhQsXTubFsl0AE9AED48AcnKuEhwspVatYbz++gC6dy+PxZJL8+ZjChhL\ng0HH1Knvc/78LkqUKI3ZrKV8+fp89lks4KgrHTKkBdeuXaNcuXLI5XLkcjmuecbTkpdUmP/eEYvF\n2AUBEY6Pj3yj6ubm5jSqLwrPetWpeXwtdyfHEvDzRHTy1ziYVI/YdBUmkx1vTxlyuQirVcBgtJOj\nseLuJiXQX0FwoILQYBfq1fAkNMQFT3dpgfI3u9GMYLNhtFhQejw9fJWPwMBAjEYjU6ZMcZa0/J4m\n9EWRkpLCjRs3Xjgf4K/AP2qGmV8wDpCdne0o0n8JdXHBqIWbp8GYC5H1ELl5ozfBkVtSSvsVnGna\nTWYOlmlG4rhvqNsigNDQwJfq+0lY9Dp0v21DOHMIWbW6qBq3Rax2w2q1ci9Zz+5zKmqWzCLI34Uc\nsyuG5AdULe+OSP3quGvzuXY9PV+8zffff5/Nm/cwatR8qlSpWWBdhw4laN36XXr1GopCoQQEDAYj\nrq5qMjNT6NatIkFBYSxZcqTItvv1a4VKJcLdPYi7d8+xatUJAC5dOsOoUR1ZufIoXl6+TrdRnz7N\nKVUqggkTHC9Eo9HIm29GERXVmDNnDuDnF4BGk0vduk344INpaDQ59OhRl379xrFmzTZEojR8fIrz\n6FE6BkMC+eTsjlmoHRBISkr6f2NCKVUqIs81mW8EqyORJGCzPUIqLcbatdedmZLdu4fw/vuLiYlp\n55wdjRvXBr3ezsyZWwu0+8svC1i8eDIbN94t1OfDh4n0718VtdqPZcuO4OJSOLO0e/fq1K/fjCtX\nLiEIOubO3VNom59//olFiybQuHE7Pvzwe+fyZcti2bRpDhs2XHAa9z17tjJjxghAjFQajtWaBrji\n7f0WmZnH8fEpgcGwlZ9+OsewYa9hMqXTocMgliyZypgxi2jQoAVXrpxj4sSeyOUSxo2bQ+XKdTl7\n9jcmTnyL2NjdhIY6yp82bVrMvXun2LBh3VPPe77wgt1ux2gwIFconO7MVwnD7QckLVhN6rqduESU\nQF2rOvbwUuDnh8zbHRd3F9xcQGwyYsnSYEnNxPQwFVNSCubkVEzJqZhT07FkZGPTGRArZIgkEuwW\nK9hsyHy9UYYE4lqlLBFfFs5mB2jdujWHDh16JWOzWCy0bt2a0qVLFyjT+v/C/3/w6j+IV62JKVK6\nQsVGUKIiXNyLkHANF7lA3QgrNx6JSXgippm+8yAuZUqy/pgIpYvKydf6MrDZbGhOHEA7awLi7Azc\nh36Ka5vuiNVuWKwCv54RWLlfSXQZG4E+Frw9VdxLgwiXtFdqLF8WR4+ewGo18dFHLenSpRJ79mzB\nbhe4fv0cOp2GN9/sh4uLSx6lnYh8I+QIEwkkJd3l1q3LRbb90Uffcv36RU6d2sHw4ZOdyytVqk7x\n4iWZOXN8ge27dh3MqVMHnDzAgmBHKlVz+vRehg6dyKJFe+jYcQCHDu3Abrfj7u5B2bI12LNnHW+9\n1QtB8ODevfOMHr0AH5/KeccrAmyADBARFPTXqkU8DVOmTHEaS5GoGKACrgMaFAo3Wrbsg0KhQKl0\n4cSJXwAx9eq1xGIxYzQaMZmMxMefoXHjzghCwSzJPXtWUbZs3SL7Xb9+AR4evsjlIoYNa1coezk+\n/hIazSN69/6QCRPmkZBwh337fi7UjjiP4k36O97iN998B7sdNmx47Mq9f/9K3jhLYbV6A1oCA98h\nM/MUERF1kEiuIZEE8/XXo8jMvEts7AE6dRpGmzZ9+OqrQcTFzWfMmPZUqVKDlSvPUrmyY2xRUY0I\nC4vkq69GO/tq06Ynly5d5uTJk0899/lxZ6lUijhv1v9XcEe7lCpBxJcfUTt+F2HjB6NwVWA7sB/9\nt9+TMXQ0D7oO5Gr7QVzrO557k2NJ27gb4/0k5H4++LzWiLCJQ6m07gdqXdxKg9Tj1E86Qr0HB6l2\nczd1Hxyk6u4lhE0YgnuNykX2/3tFppeB3W6nd+/eKJVKZs+e/cc7/Afwj5ph2u12Z7xKo9E46cte\nBQSDFq4edCieR9ZBa5Fx9KaUyiE2AjwFzncZTlJ4NIfdo5k6rhypKSl4enn9qViWIAgYEu5i2rYK\nkc2Kql1P5KGP3as3E+1sPGzD3xtiKulxd3Fc4hS9O7lJD4mq4IZI9WrTvu12Ozk5OXh5vZieZ1pa\nGuXKVWD16tsYjXpiY0dx4MBGQkKiCAkJ5MaNq6xcedy5vc1mx2DQ4+rqyjffjOP06S0EBVUgIeEi\nq1efL7I0qGPHGhgMKezYcafA8v37d/Lll++ydu0ZlEq1s9yoc+fqdOz4Fq1adWfo0DcQi+1oNJks\nXXoAX98AbDYrHTpEUbt2Y44c2c2TRvxxXFBOWFhr7t3bjkjkgiDYgMfcqR4eniQkFE0l+Ffgt99+\no127djxWIrkBCEgkKsaPX8rkyV2Ii7uHu7vj+o0e3QyLReGcSQqCwJUrRxk7ti1xcXeQyWQIAnnn\nW+DNN0swatQiGjVqXajvnj2jqFMnht69x/DOO9FUqBDD5MmPjdv48X3JyrrN3Ln7AJg5cyIHD65l\nzZqLBVyAXbpEUby4Hw8e3GDt2nPO5CCTycScOdM4cWIbq1ef5Pr184wc2QUIBqoC+/H0jEShqENK\nymWqVGnFvXszEYQQcnNP8dVXmylf/rFno1evqmRlJdOjx0h69vyg0HgSEm7y7rvN+OKLtVSqFAXA\nrl1rOH9+F1u3bvnDa6HT6QqwPv0vQKvVolar/9DIC4JA69atOXKkaI/P80IQBPr27cuDBw/Yvn07\nij9IgPpP4X/nir0CvOoZZoG2XVyhWkuQSOHcblzRUauUlQsJEpIf5JJ95CzbDJG0jvFGLBY7azNf\nlJTbbNCTvW01puXfo6haG48hE53GMlcvELfPyoaDNtrVkdCrmQS1woZOp0OhcuVOqpjSbhmv3Fi+\nDHbu3En16o2Ry5Wo1R4MH/4Dc+cexWhM4ciRX4iMrPXUfY8e3UyTJh2ZPHkhOp2BefMmFtpGo9Gg\n0z3CZrNw4cLRAutiYlrh6urLggVTncvEYjFNmrzJli0rGDSoDd7enixbdhBf3zAWLJhGamoSq1bF\nYrOZOHJkFyAgl7sjlVZDrX4NKI2DjN3CvXubAAuCkA34IxI9LhHIycnOE2r+6/HgwYMnjGUJHLNd\nG6Bi4cKz7N37E/7+5Z3GEuDmzfO0bNkLIC9ue4MVK6bh61satdoVpdIFpVKBVCrlxIntCIKI6OiG\nTto1q9WRlZuamkx2diJdu76Ph4cPX365ifPnd7Fy5RzA8aF1+fL+Ajy1w4Z9ikgkdwpJA2zevAqj\nUcN3323AxcWLOXMKXuv+/Ueh02k4cGATI0e+CXjj6dkZuAPkotFcISUlFjjAhQvjKV++KRrNafz8\nogoYy7VrfyQr6xFisZT09Owiz2dgYEn8/ErwySd96Nq1Fm+8UZE5cz7j4MEDbNq0qch9/peR/558\nnhnxizACPQuDBw8mPj6eLVu2/NcYS/iHGcwn8aoNJuBQBShbx5FBe24XHrYMosNsnH/ogqhLdzRW\nGZXLO76KlUolSqWSnOyiH8rfw263o4m/iG7O50hyMnAf/hmqOs0QicXY7AJHLtuYsd6Kp1rEyDel\nlAt1XFqrxYKLiwv3UqC4OQG3kn9Nos+fPZ+bN2+lRo3XMBgM6PV65HI54eHl+PbbHYCdw4dXs337\nYwLu/H6uXbuAVptGjx4jUKnUDBv2NZs3LyUpqeAs8ocfPsPT05vKlZsyY8YYfo833xzM/v1bCtT4\nde3aF50uBzc3V2JjtyKXy2nf/i2OHdvH4MGvs3r1nLwtA+jVaz7Nm7+LIFxHp9uFWu2Oj08YT+pk\nOnAz7/yIAMcL4P79+5QqVeoJpp1Xj5ycHCpWrJj3nxcONqIbgBtLl56nePFAzp7dR/Pmj8tejh7d\nitVqYvv2pXToEMIbb/gwfHgtLl06TGpqPO3aFaNLl7JMmjSAGzcusWPHEsLDq6NSqVAo5IjFYgQB\nLBYzcXFz8fQshoeHL1arlVKlKjJ48DTi4qZx4cIJtm5djVgMTZo8JmKXSCR5QtI/8/B4zJGMAAAg\nAElEQVShYxYeFzeDmJjXkcuV9Okzhv37t6DXP56xq1RqqldvwTffjAHE+Pi0ITt7IXAZ8EAQShMc\n/A716n0PiDhzZichIRXQ6z1ITEwAYPfujfz000SGDJnGRx/N4ddfl3HnznVnHxaLhdjYKXTsWI70\n9GSsVi01ajTgww+/4cMPv6FRo7bPpbv5qozKfyOMRuNLZ4Dfv3+fBQsWcOHCBfz9/XFzc8PNzY24\nuLhXdJR/Hv8azL+gXVFIeYiIhov78DEnol70LZmd36Xda0EF1DLcPTwwmUwYDIanticIAvpcDTlb\nVmDbuARVy8649xyGJG82cO+RnR82Wrl8V2BQOymta0mQy0TOfS0WC3IXN+6mSyhTTI9IXnQh9P8H\nDAYDBw7sp0IFR02f+omU+nXrZuHhEUKvXqOYOXMImzevLLDvihWzCA4uhaurIxbbunUnwsOrM2HC\n4xe/2Wzi8OEN9O49kg8//IqHDxM4dWp/gXbefLMPIpGc1asdMRK73c7o0b0Qi6UoFErEYjGJiXdY\nuPBzBMGK0WgDxNSo8TY+PjXYtWsdO3bMwMurOBJJGEbjJTIyjuPlVRMoi8NAiXDEL804DKgJh/ES\nkZaWRtWqVYmMLEfnzp1fqfE0m81PZOSKgVDgOCBi+vRf8PX15/Tp3ZhMRjp27ItGk8P06cOYOrUH\nIpEENzcxAwd+TlzcXebPPw1AXNwdFi48R4cO/UhJuczo0U24ePEoZctG5yUGOeJ0jhpRJadObadO\nnVaIxQ53t9lsJiamC7VqtWTSpLfYuHEBVavWRyQq+CqKiXmN4OCKTJkygF9/3YxOl8GgQZOc19rN\nrXiB+LNIJCI8vGTeM+1DRsbKvDE7GIwEwZPatfuTmXkCsdgTiyWL/v0XU7NmDBs3bubcuWPMmjWU\nbt1G0KZNHxo0eJ0yZaoyebJDMPvIkb1061ad/ftX8tZbH7Bp0w3Kl6/BrVs3qFevJfXrt2bEiK+4\ndOkKV65ceWXX8L8BLyoe/bIsP6GhodjtDgav3Nxc56979+4v1e6rwD/KYP6VLtlCffmWgIqNsV8+\nhJ/lPocPJuAZGojB8vgYxGIxXt7eZGdlFVnobLFYyL55DdOiL5Hqc/F473MUFaMBh4bl6v1WVu61\n0biKhIFtJfh5FbypdVotEomEW4k2gq33UIdF/GXjzcfznlObzcbOnTsJCyuHn19QoZjOsWPbiY5u\nQe/eY+nbdwJz5nzAjh0b8vqACxf20rZtQTKAyZMXkpz8gK1blwGwePH3yOVy2rbtjZ+fP9WqNS+U\n5CMWi2nVqhdbtiwHYMKEIWi1aXzxxSoSE++ybt2PDBr0JDuNgbCwaly58gsZGVtJS9tH9eqvM2rU\nZurXfwuRqBzBwRX/j72zjosq//7/804DQwoCFqKgYLsm5lpYayd2t65ru/Zaq64tdmAHdmF3BwZ2\noIhI11Azw8yd3x8jIItbn43vb+P11zzu+977vu/3jTPnvM95vXB0VCMIhQBbzGFQA+CE2bsUgAzM\npQ7me/bhQwRXr96nXr0G1K/fkM2bN/+udHy9Xo+joyM5RsMJeAgYcXEpR7ly5udoz54fKFq0KsuX\nT6JrV3cePTqBIEjp128JM2ceomnTXtjYOLBv3xIcHNyxsbHH1dUNP79xrF59k4kTAwCRoCB/Ro5s\ng0aTEzHJISsYiUwm/8gcY4FKpWLChLWo1ZbExDync+eRaLUZ6HRmmj9zvShMnbqasLAXrFkzGR8f\n31xyYf37T+HatRPZuqUREaHs2bMCcyZyHFACqdQKicTx4xEy9u4dxdOnuxHFOEwmd4xGqFatARcu\nnGX6dD/q1GlJt2454uTTpm0hLu4tw4e3Y+7cvlSv/iW7dj2kXbtBSCQSvv56PuHhT3j50kzErlAo\n+eqr7ixenJPB+2P8HVNG/tPCzMG/ymDCz0t8/eF92ToRdu49hdtVpVnRcIo5iYRE2aL7hEFLqVRi\npVaTkJCQfT1GoxGNJpnUS0Gwdw2WdZqh9huSnf164b6RxYEGbC0FxnSUUcFDkueBNktcpaEXFUSm\nyClRVPmHCMn+5Fh/5QuVzWur0XDy5Gl8fFrkqe1KS9MQGxtBhw4DAOjU6Wv8/L5hyZIh3LlzhVu3\nLmIwZNCyZW5FDCcnF1q1GsaqVTPQ67UEBW3mq6+6ZbePHTuX2NhIrl07meu4Pn2+RqvVMmPGYB4+\nPM+8edspXboi+fIVYuvWJXh51cfFpSoqlS1QBV/fadSokbXmJuHOnSM8f36LRo2+wmiUolQW4eXL\nM5hMtwEpFhZOmBNQYpDJXMmpCZRhLjeRAgJpaTFUrepLkyYD2L37GN7epWjUyJf9+/f/prXuuLi4\nT4ylgiwjYmVVDEGQ0bOn+U+DKIo8fXqLt29vcePGTkaOXMHo0Wau3MaNcxPX37p1imrV8jIxnT+/\nm4IFy7Fq1RWSkt7QvXt5rl83l4Ts2bMWOzsnnJxyZwULgoBcLqdcuSaAwNWrR1GpVMhk5ro9g8GI\nVpuBg4MTpUrVJyMjhUGDpudSqalXryn29oVZtMicrTphQtZ9lgIVsLOriskUh1TqhYNDMcATb+8y\nH+cCFAo1x45tQ6WyxGB4ilptx7hxK/kUSqUlFhZ2hIbeYerU9YwduzTXs1qoUHGKFfPG339W9rYm\nTbpw4sTJn5UAy5qDfyJ+Ly3e/+/41xnMLPwVBlPU6QkPOMKc487UKJxI8ZTb5LPQcuO1jMxPGKys\nra0RAE1yMhkZGWiiPmDavwHpyxBsBk1G+UVNAB69EVkUaCAs2sTQ1ubwq1L++RdPk5yMpaUVb2It\n8JKFovxYiP9n4pfmVK/Xk5yc/LEcw4YTJ05QvXrerMoDB1ZiaelAsWIlsrf16jWJhg07Mm2aH7t3\nL8fDo8xni6gHDhyPUmnD4MFN0OtT6dkzp1YsX778VK7clBUrcieMKBRKKlRowK1bZ+jVazQeHqVJ\nSopHr0/FaCyKtXVxYmLuM2LEIQoWLMWePYs5c2YerVtPo27d7zCvBw7kwoUdyGRhvH59gnr1euPi\n4oIgGPDwaIJSmR8ohMEQTv364zF7mhq8vatiDtOaPc+TJ3cya1Y/Hj68TWamkZs3bzFx4jRKly7L\n1KlTuXv37s8az23btlGsWDHMr3YhQAtI8PT0pVEjXywsHKhTpznJyXH061cWUTTQpEkPdu8Op0GD\nLuzbtxQ3t0rIPpHgSUqK/Unty4cPr1CnThsKFy5BQMADGjVqz+zZXVm7di7Xrx/Bx6fxT17rnTtB\nlC7tw4ED63j69M4nclRmT1SpVBIf/x4Q2b598UcvVPcxqcjIkCHfcffuZZYvn0hSUgxmY1kfsEWr\nfYvJJCczU0Lz5hOwsLDl2bPtyOUqGjYcjl5/n7t3D7Nx49dIJHoMhuLodDkqChpNIr1710IqFVGp\nLLl69cJnxzBkyCxevrxNdLTZQFpb21KvXitWr179k+P+u+G3hmT/8zD/gfgrDGZs0EVMbkWJsSiI\nqmpjhJQ4vDVXcbA0ciNUiuGTKKza2trM/Rn+BmH7EuSuhbHuPx6pgxPvY02sPWrk9B0jbWtL6dlY\nhqPtTz/AWdRc8SlSJAY9hTz+fGP5c8giNUhPT8fKygq1Ws2DBw9QKCwpXLhEnv3Pn99L2bJ182wf\nO9af4sW9CQu7Q4sWvT/bl0QiYezYZYSHv6Bs2Wp55IjGjJlLfHxMtpA0mD8Ir18/AEy4u3tjNBr4\n/vtvqFy5MzKZI7dvb8TPbzH29gWpUqUaSUmX8fHpSrVqHWnUqCWC4IGbW03OnPkBuVwEvChUqDo9\ney5GJnvHo0dnadFiLOa6RzXXrq2gY8e1gIynT69RqVJtzOubarJCtBpNPFptGtbWtlSp0pDBg+fx\n4YOB3r0HYGdnR4kSJVm2bBmnTp3i4cOHXLlyBTs7e4YMGUJO6cgHQEqrVpNYsiSQU6e20ahRX44f\n30D37iWIjn5HuXItGTZsaXY4/MmTW/j6dsv1buzbtxS12gVX19wMRW/fPiE9PYXWrXtmbxs2bBHj\nx6/lyJGlJCaG0bHj13wOT57cIy0tlqlTN1KpUnOmTeuZXfsKZpLyly+fEBX1nG7dvuXUqUBSU5OQ\ny+VmthzRSIUKVcmXz43z5w9+HPMXCIKUYsVqo9XexmQqRIUKLVGp1Li6GjGZtHTsuIAGDYbRtesy\n4A1v3lxk0KAtFC3qzalTpwCIj4+hb986WFrK2Lz5NgMHzuDcuR1oNIl5xlGyZEVsbR0YPbobo0Z1\nY9iw9gQH32bNmrUkJubd/5+c8APmkOw/VQsT/oUG868MyUZuO8TjIjVp2dgZQaGC8g2RmAyUjj+N\ntcLIjddSdHojqampZGRkoA57hlYiQ9GmL5aNO5CUIWXXeQMBJwxU8JAwop0Mz0I/f8tEUSQxMRGl\nypoXsZaUsE9AUP75vKXweWHujIwMNBoNMpkMW1vb7LrXY8eOUa1aszznMBgMvH//KpeayKdo3nww\nIHD48O6fvA5HR2cAoqLC87RlCUn7++d4mStWzCIjIxEvLx/Wrp3Fjh3+aLUCdeoMRhQfIQgOlCnj\nS2amjqCgaUgktmRkmJONpFIphQoVJizsGk5O7qSnJ+HiUohjx3aRlqanePGmmEx3PyqhOAJOaLUJ\n7NkzDTATG9y9exGzl5mCg0NufuGUlEQOH97A5Mld2LNnBW/fvvrYYsvNm6+ZMmU2tWrVolmzZoii\nOSHJ7Fm+AETq1x/BgAHjuXx5P+npqTx+fIKVK0fTrNnXCIJAjx45BfjBwWfJzNTTrFlWcoX5Xbly\n5RCVKuX1FAMDl+Dk5JHN4ZqF2rVb4+NjDt/OmfP1Zz3ibduWUqRICdRqW6ZO9UcisWD69O659lm5\ncgbFinnj5zcYV9eSzJzZP7v4P0tJIy4uK0nKApmsDFIpeHlVwrxG7MIXX7RFFEXevt0OKHn+/O3H\n56Dox+NMPH58HTc3bzZv3kpCQiyDBjXAwcGWNWsuo1Co8PX1w97eiR9+yJGVCwt7zcSJfWjVqgQa\nTSKJie9QKk24uDjh6OiAXK5i+/bciWp/V/y3hpmDf53BzMKfbTB1kTEkXr/PeUrRoLY58UCQykgv\nWhksrSkXexSVoOX6KwkmvQH5sW3w8Ab2dnYkWdpx7q6WZfsM2KsFxnaSUc1bglTyy0XDSYmJKJRK\nQsIkeCojUDnm+z9JNMjMzESj0WAwGLCxscHCwiLXS7du3QauX7/AsWO7c31QT57cikxmwRdf+Hz2\nvEePBlC0qDevX99m3bofPrvP6tUzcXUtSnR0BGfO7MvTPmbMHBIS4rhw4TChoS84cWIzI0fOZeTI\nWYSHh3LkyDbat1/E1q1jUakUmEye3L17iY0bhyORGGjceCohIXcwGo2Ehz8jPPwgYEvbtgspW7Yp\nUVHnSEiIYMWKKURERKNQOGEy3UEiSQKSMNdAvsGchJM1JybUansSEmKQSuWY1zez2gR+XKYSFfWM\nI0c28fTpg4/tlp/sG4FUKsHauiCjR5vZjZYtGwaIJCSk4O9/B7lci5VVfry9K2bPy/795nDsp2Qe\n6ekaYmLCad9+YJ55DA4+R40aefVLAR4/vkHt2p0JD7/P8OG52X2yai9btzavUUulMmbN2s7DhzcJ\nCjIbmdjYKF6+vMHgwebrnzp1DaGhT7l8OYeSb8KEzp/MTUUMhnCqV+/GlStjP26/zZYt5QkIKIco\nRlG37iSCg6+Rnp7Ghg19cXevhCC4c/bsQo4dW4cgCPTvXw8bG0v8/c/lCvmPGDGf4OCTvHz5mLFj\nuzFkSAMSEt4yZswPHD78ErXaloIFSzF58kpmzQpg4sRlbNwYkOfd+zt6mL/VYP63hvkPxJ9tMCN3\nHCG5nA91viyIpcUnyTaCgK5wWbQ2rlSIOYSdKZk7j/Vk2rui6jWOOx/ycTbEGvd8CYxoLdK4ihSl\n4tc/rAaDgfBIUInpuHsV+Es86SxkaeWlpqZms5mo1eo8nLnv378nPT0de3sbVqwYSsuWRdi48QdE\nUeTEiS2UKPF5Y2kwGHj9+jadO3/DyJE/sHfvQkJC7ubaJz09jUePLjJo0HQaNOjG8uWT8ng4trb2\n+Pi0ZPXq75gypR8lS5ajTp2vcHZ2RSZToVKVIzLyNaGhp+nZcw3e3lU5dmwtYWGX6N9/E7Vr+yII\nUk6d2sXatd3x9KyGs3M91q+fR0hIJFKpJRBOvnz5sbZOR6//ACQhik+wtDSLTIMVEokMmSzn45Ka\nmkj9+u0RRSMdO/Zn9OhlKJW2H+dWAVhjDttCTkJPEZycKgHpmOsPi/PNN+sRRSNff+2PRpPA4MFV\nSU9PoWbN3mzefA83t+KcO7eHGjU65JqXx49v0Lhx7szj/ftXYGGRj2LFcuuURkaGodEk0L593nXN\n6OhwkpJi6dt3AqtXXyYq6hlff90m+z4EBQUiCCYaNswRivb0LE27dqNYtWoycXGR+PvPJH/+ApQq\nZVavKVTIjXr1urBkyQT0ej3v34cSEnKTnJIdF6TSaG7eHIZG8wqJxAWlsiZSaS2MRiWOjsVo1Kgt\nMpmSpUt7IorptG49H5nMDXBAEF4Doeh0KSxffjrP+njlyvVRq+0ZObIZcXFv+OGHQNasOUPdui2R\nSCS0atWbs2f3ZI+xbNlqgJTz53OXMf3T8Z/B/IfhrwjJmkwmIrYc4LSyCi0bO2dvNxgMZlURvR55\nsXKYLPJR5sMBXCzSuFawE8uPCLyJNOFbTY2Lsz3atHgy0tN/VX8pGo25bkkjIUGrooK3FZI/iNz9\n1yCLWDotLQ2JRIKtre1PyhQdP36cGjWasXBhEEeORNG+/UD27ZtP+/ZevHr1kGbNun62j2PHdiGV\nSqlSpSG+vn5UrdqQyZO7otXm1LEGBCzFysoaHx/fj0LSQh5WGIBRo2aRmBhPXNw7pk9fB8Du3WZy\n5/j4ZwQE9ASMbNw4iLi4S2Rk3KNMmea4unohCAIVKtTm0qUV2No6otcXJzr6LUZjJr16jWbq1HNI\npZnEx58jLS2C4cO3U7Vqd0BOy5b+lCvXDXBBFHXUrTuUWrUmkeVNnju3l0GDZrB37zqCggLYseMy\ngwfPwdW1KGZqvXTMyS1gYaECwoiNvQvYMG3aIbZsucPRo8spUKA8L15cpls3D969e4K9fQm+/XYp\nEolAePgzkpJi6No1R5vy9u0TGAwGmjbNMWIAFy8GUrFiozzzt3fvIuzt3XBwcMzTtnv3Quzti+Dk\n5IqTU0FWrrzI+/cPGT/enMl6+PAGypf3yUMN17v3NxQoUIqxY9ty9+5xuncfk6t95MiZSCRKFi78\nhoED62P2wmVIJKWA4xiNT1Eo8gMK2rc/SMuWP6DTSZBIMmjVagpSqQwvLw80mkfUrz+BZcumYG1t\nhSB4AALp6ZG4uX3FuXMXPpa2iB+XFdIYMaINKSkJgImZM7fh7Z1bWadjx6GIYiYHD+4AzN+X5s27\ns2JF7szb/zzMvzf+dQYzC3+mwUy6GkxGpoCyXGmKFrbMNiQpKSlmzTsLCzLPHSLtXBAv7b7EMekx\nzpqneHsq8a0mx9lewMLCgnyOjiQnJ5OYkPCTgrRGo5HEhAQyMjLQpkoITbGlqqcJxUel9r/CwzQY\nDGg0GkwmExYWFlhaWv7sC3b48DGqVDFnx8pkMnr1msKBA+9wcXHBaNTz8mXIZ487dmwLZcrk0JhN\nm7YZuVxg0qSc9c7Tp7fh62v2nBQKOf36TePo0a3Z9XpZMHu9EpRKFba2Djx6dItdu5ZjNOqAZMCA\nn98KGjQYQFLSC8DAo0dnuXPHnCyUlHQHSCU+3oG4uHcMGjQJB4eCXL16ksOHl2A0ZgImBMGNAgVK\n0qbNCGQye44enU2lSi0/lqi4cP78QkqWrEnhwvXJMpqrVk1hxYrDvH//Hj+/aoSHP0GnS0YQ5Hh7\nN6Rbt2n4+U2iR4/plCpVDYXCmi1bgqlatS4PH17m5ctgYmKeceDAKvz8ZiCRyOnTZ1r22Lds+Q5n\n51I4Orpkb9u2bS4qlT1jxrSha9fydOlSkg4divLhQyiPHl1iwoQuBAauzWbXuXHjJD4+eSXVzG0n\nqFkzJ1Tr7FyYZctO8eLFFaZO7cf79yF07z7hs8fOn7+TuLjYjxSF7fLcs7Fjl3PlyjFyiBj0iGII\ngmAD9CEtLQJLy1LY2roSHf0c+IDJZKBYMR9SUxN5/HgbguBCUNBBSpf+grFjF2Jra8Rk0iORyJDL\n09m1axdpaanodDqePn1At27ViI8PZc2aCxQpUpKFC/Neu0wmo1atpuzduyZ7W926Lblz5w6vX7/+\n7Fj/ifivrOQfiixD8mcYk4iAfTwqWofWTV3QarXZyiS2trZIMnVod6zgVbiRbe4zOfmuEAmejank\nmkx17VkevTPxMFyCwQgKhYL8zs4IEgnRUVEkJiSQnp6ezQ6UlJhITHQ0giAhIc7ES40dPsUzsbLJ\nLZ/0ZxnMT/8IqFSqPNqLn0NKSgrXr1+jcuXceooKhdlw2dsX5siRZYwY0SYXXZ1eryMs7B5+fiOz\n751MJuP77/fy6NF5jh0L5Nq1c6SnJ9KrVw4FXqtWXciXz42ZMwfk6m/OnNHY2Fij1+sJCtrF9u0r\n8PJqwIQJNxEEE1AMD4/aODl5kZmZQdu2SzCZrNi3bwwLFrTh1aszQHEUChWTJi3Hza0ETZt24uXL\nM9y7t4uePVdQunQTkpKCeffOTK/WqdM0UlMf8+5dCA0a9AUsEUUDV66swdd39EeuWTNt3vDhrfj2\n20Xo9TqOHt1KfHw0rVr15bvv/PHzG0i3bsNITg7n2bNg5sw5Snx8OPPm9WLixJaAgnr1+rBnTxip\nqREolfbUr59jwO7cOUvTpn25d+8aEyZ0plUrF169CkYiMWJrq6Bhw1b06DGBChVqIJNZUbt2EzIz\nY9m9ezYdOrjRp08NkpKi6dgx95wCRES8Jjk5nk6dBuXaXrhwCb7/fj/BwcdRKJR4epb/7POhVtsi\nlcowGHQEB1/M016+fGXMn62CQNjH30Vp0+YQrq72QDp16szAaMzk6tUN2NvLMZkcuHfvMuvXD0Qq\nVWIyFQIEWrfuxdmzm0hODkYQvChbtjMvX57Czs6GkydPcu3aOcaPb02JEl6sX38NJ6eCDBkylxcv\nbvLy5VMMBgOiKGbXhw4cOB2NJpqbNy8RGRlBamoKjRq1Z82atZ8d698F/yX95OBfpVYCuTUxExIS\nsLe3/0NDJJmJGi6VasJm3zksWVwBmUyCpaUlMpkMY3QET3fs57J9G1JUzvhWllKuuIAkS7A1KZrM\nF/d4LK9ArNQV74JQ0MGERDBfd0Z6Ojq9HtFoRCKRoFAoEHUGHodLEAUZlUoqsLDMXUaRmpr6sbbt\njyMwNplM6D8K4yoUimyWnpSUFJRKZZ5Sjk9x4MABFi9ez6xZeUmqW7YsQNeuU6lR40uGD2+AWu3K\n2rVnsbS0IjBwA1u2TOPIkTBSU1M/yn2ZjfOGDTPZu3cNBQqUwMbGgsWLc5/70aN7jB79FUuWHMbb\nuyKhoS8ZPLg+c+du4/Tp41y9egBraydGjDjJpk0jiI9/jNFYkSJFihIauofixcvTrZs/CxaMRy7X\nEh0dBCho1Woehw5tY+jQqRQqVJyAgHE8f34CD4+W9O37HaIoMnlyNeRyR2bMOATAnDndycjQ0KtX\nAPv3zyYhIRQIx89vB5GRIVy4MAdzNm0cYKJ06XoMHTqVffs2cf36MdLTE7CwUCOXK9BoEpFKzcQE\nRqMRlcoanS6NzZufky9ffgDaty9I48ZD6d/fTFZw7twuFi7sh6WlMxkZcbi7l8HdvTQXLuzn4MGo\n7DCpXq9n6NDqFClSmSlTcmoK37x5xNSp7UlIiMbGpiBDhsyjdu0cJqQFCwbx+PF9AgI+r1bRvn1p\nMjJi6dlzIh07jsjTfvDgVjZtmoKPT1tu3jzE1q23UKtzyhTati2BTmcCCgOvEITyQD4sLJxJTz8P\nZCCR1EaptESvT8DCIgQ3t9Y8fXoJUXwOlKVnzwns27cZW1spERFBtG49lYQEKdeuHadECUtevrwN\nuGAwvKJ1677065cT0jeZTAwb1hiJxJKFC3eYl18i3nHw4BYePLhKXNwbzIlZOclcUqmMsLC32NjY\nkJmZ+fFe/TWZ638EMjIykMvlvygeDdClSxc2bNhA/vz5/4Ir++vxr/Uw4c8JV37YcYg49/LU9S2E\nlZWFWUldJuPd7SdsCozlkF0vylVyYvRHhh7JJ8ZasHNGXtmXCs4pVMq4RFhYEmcfmngapicxXYLc\nwho7+3xYWdmiS4PnoXquh9uR30bEp7xVHmP5Z4wxq6ZSq9WiVquxsrL6TTJFhw4doWrVvOUkL17c\nQ6tNp1WrbhQu7Mm2bQ/JzEyiV68apKZqOHFie7Ym4Y/Rt+8UnJycCQ9/SP/+k/O0lylTkTJl6jF7\nttnrmTNnOB4epalYsTb9+49Bq9VSuLAvkZGhhIaeoUOH+TRu3JEnT06SmZlMx44LAahduznR0bcA\nFQ4OLgQFzSB//kIcPLiZvXvn8PLlSb78cgyvX79Dr9cikUjo1Gkeen0Ely8fxGQSqVKlMQbDB9av\n70tCQjhZ63A7dw7g6tXDmBN7NGQl9xQs6IKbmwejRs0mMPA+AQE38fXtjkaTSJEiNWjXbhxTp+7j\nwIEIBEGkUaNB2cbyzJnt6HQ6evYcTWTkG6ZObcPChQOQSFQ0atSOPXves3z5Fd69e06JEnVy3ceM\njFQiI9/QocOQXHPp7l4GUTTRsGE/ypevzLx5PRgypAnx8TEA3Llzhjp12n72Pr148YiMjHh6957D\nli3zOX8+bwZzYOAKatVqxrhxP2Bj48qYMTnnunfvCjqdDrN3+RKwwWSyw9LSDlFMB+JxdKyDKIpk\nZHzAaIwmLS0JV1eHj8ayICNGzMfL6wsaNGhGRMQJypf/imrVOtKkSVskEjkqVVFngscAACAASURB\nVFlEUUtm5gu8vOrnMpZgfp9Gj15EaGgwe/duYuDAZgwf3pj7909TvvwXDBgwBYClSw+zf/8jNm26\nSMWKNdi6detn5+Sfhv/WMP9h+LP4ZLNqDt+u2cMF25q0+6oISqWSuCSRbTvDCLjrgmf5AgxrJ6GS\np+knS0QEiQShgCcOVWtSs2gaVeQhiLHhPHmWzLmHJoLuS7j8TEpYghwHtUD9MiIeHg4/W3LyR4zx\nU0o7hUKBjY1NHi3RX5pPg8HAyZMnqV49r8EMDFyKi0tJVCrz2qtabcfmzfeQyYz06VOb9+8f0qXL\nyJ88t5dXHUDg/v0rn22fPHkZcXEx/PDDGMLDnzBhwkrS0tK4fPkYNjaFCQl5RWDgtxQsWIqiRSvj\n6ekJhJI/fzUkEilRUe85cmQxkICXVydGjw7CwSE/iYnniYi4x9275jBs48bdUKnUHDmyDYDy5etj\nYVGI48cXMGOGLxcurEClsgeS6NFjCe7ulZFICgKpmKVa82EmMbAFBE6d2sm+fTkenlQqJSgogEqV\nWrFq1RF69vyGypVrsXHjVERRyrBhOSLZ27fPpkiRMowcWZt+/crz7p25LnX27OMMGDAPS0s1er2e\n168f0KHD0FzzdfCgPyqVPV5euYWCo6PfkZQUS7duXzNhwgbWrbuNwZBAr14VWLduJqmpGjp2zJs5\nC7BlyyIKF/akffu+tGs3hkWLRhISkqN1eufOVZKTIxg4cBYSicDChXuJjAxn2bJxH++hH+bymbeY\nE58KAWoaN56MVvseMNC06fyPXrcVHh6eODu7c+bMXMweXz6USisyMlI4cWIacrk9kZHmvgVBoEWL\nHgQHB2I0GgATYWHxPH+eo1aShcjIaARByvbt3+Pu7s769RfYsuU6o0YtoFWr3hQqVJz16xcik8lw\ncMhPu3YD8fdfhUajQa/XI4pidgLg3wG/JSSbmZn5sxGmvzv+dQbzU/xRBjOr5jD+0i3StSY8WviA\nVM6+8zr8A9Nx0LxmbEcpdWvnRy77dX0KggTBoQB2pcpRunJxaleypkkZLc3LZuD7hRSfirYU88iH\nQvHzYZI/Itz8KaWdra0tKpXqfzrvtWvXcHYuTP78hfK0BQdfoFat3DV9KpUlGzfeRq/XYDKBp2fF\nPMdl4ebNY3h7V2PLloVERoblabe3d6BFi4GcOrWLypW/xM7OETCxa9cKunRZjNGYRmzsA/z8liGV\nyggMnIFKZUNUVCbv34exbNkkRPE5JUt+xfPnz9DpMhg6dB8WFpZAKA4OZSlRwkxhWL9+G4KDr2Iw\n6MnISEWtdgB0yOVKpk07x9ix+xAEHcePr8bS0gNRlGEuEYmmbt0hqNVFgWjMoVmBjRtnM2pUS16/\nfsTw4U1wcirB9Okbssem0SRw7NgmevWajVQqIy4ugpkzOxMT856wsAdYWxdl6dIb1KhRH7XahXLl\nqmQfe/ToamQyK6pVq5drvszZsXnJCnbtWoCDgxtOTq4AuLq6sXbtLTp3/pqDB5eiUNhgYWGV5zhR\nFHn48Cxt25rrOXv3HkWtWp2YNKkT4eEvAdiwYTalSlXO1uV0dHRmwoQNnDq1hwkTsrhtMzB74QLg\nhFzuxeHD85FKP2BjU5rnz28giknI5R6Ehh4jLs7w8VxuQAgrV45i+fIuKJUKRowIJCbmA/fvX8Nk\nMnHnzmYgEkfHWpQr1xS9/iWLFy/JXsKJjHzPkCEtmTu3DxUq+AAm2rcfmocBqX//KTx6dJmUlCRk\nMjnlylXD1jYf58+fzxXyTktLIy0tDa1Wmx2q/bsY0Z/D3y0L+LfgP4P5Ox7QH9ccxm07yg23Rrh4\nFGTJXj3Sp9cY5niEpn1rY+Hw++iiBIkUQWGBIFf+pgfy94zxc5R2Pxd+/aW+Dh48TLVqeTMrIyPf\nkJKSSIcOeT0TlcoSG5sCgImhQ80F8D/u59Klk+h0GhYs2IObWwXGj++U5zwmE7i4mD9scrkcKysr\ngoJ2UKhQRdzdKyOXfwCssbV1JSoqlNevT9Gt21KUSjVr1kxHLo/A3t6FXr3mo1Racfz4TlJSEklN\nTQakJCS8IykpDpNJpFat+iiVlmzbtpC5c5ug1Ubh6PgFqakxpKYmI5crKVGiIXFxV3jy5BYuLt4I\ngjMQz8WLh6lQoRdmdRMJ5hpDeP78ASNGNCMpKZ5ixYpx9uwOnj69xZs3j5g8uQ0ymZKbNwPp3Lko\nPXt6c+PGceztS7J37wfmzduNh4c3Z8/u5ssvc5fsBAVtpEKF3Hy+yclxREe/w89veJ55vHEjiFq1\n8oZcu3Ydj1xugSim06NHVWJjI3O1Hz++G4nERMOGORJN48cvomTJWnz9dVMeP77Du3cPGDJkbq7j\nfHy+pEWLIYSEXMdsJO2Ryy2Agnh5NaRGjfoYDFGIYgLu7q24dWsTJUvWomJFd0RRjsHwmvbtFzJ6\n9Elq1uxNWtotEhNfM3z4PhwdXahUqQF7965n6dKufPhwm+7d1xIXl0bJki2QSuH9+2AWLlzIunUL\n6N+/FpDGunUXmTVrO6VKVWbJktzqNwCVK9fF3t4Jf/+csbRs2YelS5dnMxVZWlpiZWWVnSxnNBrR\n6XRmesyPiX2ZmZkfk4r+b43or/Uw/6+v86/Av85g/hEh2U8p37JqDrXRSdzUF0fbdgAW+mT6Rc2i\naWUBx7ZdEGQ5ocu/kkjg0+v9rfv/FKXd77mGQ4cOU6NGXoO5Z88S7O2LYG+fL09bWloKUVHPmTlz\nB5GRT5k0qU+efbZvX0Lp0lVQKFR8//02YmOjWb8+R0HCaDRn827Z8j2lSlXl+vXTvH79mD17VtGw\n4RhCQs6h139ALq/AwYOb2LlzLAUKeJM/f2kyM/VAGnr9e3r2XAMI1K/fhjt3rrB2bV/s7JwYP/4U\nkIy//zAMBiN6vZ6SJUvy/PluihQpxYQJxxk2bCWgwN9/KEuXzuD581AEQQuk4Os7AEGwRCJRYmeX\nwpUr57Cz8wYSsLLywmwoRARBRv36vXn58hkrV37LuHEtGDasDq9fhyCXW5OaaqRJk6EsWnQeEJg0\naW12csnDh5dJS0uie/ecsHZychwfPryhe/dRueZz1675WFu74uaWW2w8LOwZGk1CngxYMK9dGgyZ\nbN/+GDs7G/r18+H+/Zxw68GDa6lYsU6eP1zz5m3HycmD8eNb4+rqRtGiXj8+NffuZanLKAFvMjNj\nEISC1KjRl1u31iEIbzCZtDx4MBu4xLNns7l1azRmb9QWd/dqAJhMWaFCkbVrB2MwZNKiRUdE8QWx\nsU8YNeoopUr5ULVqI/bt24ROVwCTKZJLlwI4cmQVQ4fOYuXKM7i6ugEwZswyIiNfcPPmpTzX3LPn\naG7cOEZGRhoAPj6+REZGc/Pmzex9BEHIJpxXqVTZRlSpVGaTgGRkZJCWlkZGhpl4Pisz96/EbwnJ\nSiR5lZP+SfjXGcxP8b8Yr6zwZBblm0JpwfXHIouOKol2q0hnm3PUfzwfF78eKKt++Yf0+XvwWx/e\nX6K0+6W+fmpsN27cICIinJEjmzNtWn/evcupTbt+PeizvLIAe/asx8rKmmrVGrFkyVHu3TvJ2rXf\nZ7cnJyfy5k0wffpMAsyh16FDFxAYuJq3b5+j05mzeQMDN2IwpDN//m6KFq3IxIld8fCojYtLSQ4d\nmkHJkvVo2bI/d++eIibmAR07/sDSpZOxsbEGQrG19cDZuTgAtWo1RBDiSU5+w+DBO7CzK4Cv70RS\nU59w/fpB7tw5zv37G5HJXFEqvTEYjBiNBmxtq5Ke/g6jMZGxYxfz1VcjEIS3HD++i1KlaiKKcpKS\nHiKTPSEp6QOQSVpaLBKJOTphMhkYNmwqGzZc4MCBVxw58h5HxwKULduUPXues3TpUXr1Gs22bTNw\ndvbG27tC9jwFBEynePFauXhft26dhY1NwTwsPhcvHqB69VZ57sX27XNwdvbCzs4hT9vu3YsoXrwK\narUt/v4XqFmzCZMnt+Xo0V3ExUUTGfmUXr0m5TlOIpEwb94uTCaRlJREtNrcRB3BwRcJD3+B+VNV\nFnONrAWlSjVn9+5mZGQcwmR6jyDkB6pQt24glpajMdfYWuHi0pyVK6dz9eperl1bjZ/fEuztmxIb\n+4x585qzYEFLlEoDoujFhw8fiIwM58WLh4iiEYVCgjnjNY18+WpSt26bXNfm7FyYypW/ZPlyc6JZ\nZGQEmzYtY9SormzcuAhRNNC+/Re0aOFFu3YViImJZuzY8fwcsoxoFleulZUVlpaW2X9YMzMzSU9P\nzzaier3+Tw3l/pbzZkV//sn45TzhfzB+i/EyGo2kp6djNBrNZSJyOQ9fmzh524CjtYmKm0fhUsuV\n4mmWqAdPQWJj97v7/CPwa/vLUjg3GAzZL+gf+fCfPn2aFi364ORUiKCgrfTrV4miRSszZMh3JCRE\nf9ZrATh7djdVqzYAwMOjPJMnr2PmzL4UL+5Ny5Zd2LRpEba2DpQunUNo8NVXnTh1KpBx4zqyYcNV\nlEol+/Ytp02bvigUCiZOXMSAAV/i4FCVc+e2kJLyFpmsEm/enAFCUSqd2LlzMyaTniJF8pOSYiI5\n2YbUVA1qtQ0vXtzEZHqNuQ7TzOFar15XLl7cSVDQHMBEkybDcXAox44dy7h+/TxnzuxDJpMiCHZo\nNE9Qq20oU8aXEydWEBd3mLi4FMyJLCaMxlRkMjUGgwBEIopZPLESOncuyYED7wDYt28FCQnxLF+e\nwyaj0SRw794lJk7MIadPT9fw4kUw06cfyd4miiIXL+6jePEabN26hJSUpI/b9SQnx1CvXus89+Lu\n3fO0b5/3g28wGHj2LJixYzdmbxs3bg1FinixevU37N9fgnz5XHBzy+s9AmzcuAAbGwckEisGDKjN\n2rWXUanMhB9TpvhhNpbeSKXOGI3nACseP54BKHBzG8j79wGAO1JpES5ePI1E8hKQMHDgLvLlK8as\nWb04enQSjRoNp1y5Znh41GHWrGhSU4MBGDPmBKdPB7F161LAiKtrIYzGRFJSwihTpi2vXp1Gp4tm\n8eIlfPvtxFzvRa9e3zJ0aCPatCmPXp+CtbU97u4l8fVtjUaTyMmTe5g1K4DUVA2vXj0iKGgHT548\noUKFCj+ehp+ERCLJDuUC2fXjRqMRURTR6XSIopi9n1Qqzf79R73Dv+Y8KSkpWFnlXb/+J+FfZzB/\na0g2Kzyp0+lQqVSo1WpCI00cu2FEEKB9XSkWRzcjVjeRXtId6949EX6mXun/t5CsyWTKJkJQKpXY\n2tr+zy/Zz41t//5DDBy4hNKlq9O58xhCQx+xcOEQxo1rjFRqhZOTS55jEhPjiYl5wZw5m7K31arV\ngk6dRuLvPwp395JcuBDIV191zjUerVbHpEkr6Nu3JmvXTkGtLoAgGOnTx6w2cfHiIUDk9OmZmMN2\nAlFRwaSlJQEp6HTJREcfwtu7KQ8e7KFTp3mcOHGRXbv86d59JNu3D6d8+Wa8eJHOwYOb6NhxMABV\nqrTmypVFyOXW1KnTE40mCUGQcuLEdqpXb0jLlj158eIhAQE9mT+/I+npkZhMImaDUAIHh8IkJDwE\nElGp3ElNtQTeYRabBhDR63Xs3PkDrVoNYMuWebRvPwEbmxyPb9WqUdjaFqZmTd/sbQEB01EqbXj0\n6DTbt08hIuI1aWmJgMCLF5cID7+LXG6u042PjwQkfPttEyQSOU5OHlSt2pSSJb3Q6bS0a5c3JH7s\n2AakUiW1avnm2t658zcULOjO998PpEAB9+yP+qcwGg1cvLiLHj3G0LhxDwYOrE+/fjVZu/Yiy5dn\nGWdrID9VqrTgxo2jH+ejIlJpPjw9fQgLW4dEokahKI5eH4coPqR4cR9cXb14//4ZBkMwkI/37816\nl1FRLxCEx5hMFlhZqVm0qA2i6AnIUCoziYo6Qf787nzxxWQuXTpKu3aT2bt3As+fO7Bz5y66dPHj\n/Pnj7NixlA8fnqFUqtDr09m69QYODrnrD69dO8XJk0cYN24ONWs2xtJSzfz5C9ix439XMhEEAUEQ\ncs1lFjWlKJprcrPWPz81oFKpNPvYPwP/9JIS+JeGZH8Nn2yWIfk0OzRFq2LzSSN7LxqpU07CkFYS\nCkZcQf7yEmeSylC8T5+fNZafnvuvws+9HFmUdnq9Hmtr61+ktPtf8erVK+Lj4z+KJZtRrFgZ/P0v\nYWfnjMmkp0MHbx48uJXruJ07V2Fj40CRIrk1Mzt3/oZq1RoxblxrMjIS6dbNzDmamZlJWloaYMLJ\nKT8TJqzm1KlADh70p2PHwUgkEtLSUti+fSESiRyJxBwFmDbtPqNHnwUUuLpWAqogl7vw9KnZsEZE\nvKFdu768fv2EVav6oVQq6dhxHs2bd+P+/eukp6fy5MkVrl5dioWFB5mZ6SxePIh580ZhZ2cPCJQv\n74NWm8bly5sAE2lp4XToMIOpU8+hUlng4dGQhASQy50xmUTy5y8AFEYmc8LseZqzesHEtm0LmDat\nK2p1AXr2HJ09L+npqVy5coTu3acQEnKFlStHMWRINY4d24hWm8TJk4FYWBSgfftvKVq0LMWK1WD/\n/g9s3/6SgIBHBAQ8QiaT06fPfPbujWDq1G14e5fi0qXN/PBDP6RSFXfv5i3bOXp0PRUrNv5sQpjB\nYEQikREbG82wYfXQ67W52nfuXI1EAm3aDEGttmH9+otIJGp69KjCpUuHMH+iSmJhYceNG8MAGU2a\nHAZsEEVHbt9eCDhhYeH5scA+EkjkzRs99++fZ/XqDnh6+jB48A6ePXvI0qVDWb++K97edXFyakZa\nWkFEUYJE8hy1Ohad7gmurlUYOfIATZp0olix8hw+fIDy5ZuTlHSPffs20aZNWRYtGoqzsyMrV55i\n794nqFQWbNy4NM/4+/efxOXL+0lKMlMz+vp25Nq1G4SEfJ7+8X/FL62HGgyG/2k99LesX/7TafHg\nX2ows/BTBtNgMGQX51tZWYHUisPXTKw+YqBYAYHRHWWUL6xHu28D6acPcfd0Ei7duyKV/vKD9VfH\n+D83xh9T2mWRK/wZfYGZ3adGjRZ5PqipqUkkJcWyYsVlKlaswbhxTVm3bn52+6VLe6lRo+mPT4cg\nwLffbkAiyQo9ybIzC1UqVTbzUK1ajXBxKY3RmEmHDmYv8OjRLXh5fcncuW9RqaSAPe/fv+PSpW3o\ndHFERgo0bNiJzEwbQOTLLwdy/fp69uwZhpWVSHR0MP36bUIikVCpkg9qtSMBAXPYtm0oVau2o23b\nqUARYmNvU7lyNcaNW0Tx4hUJCJjJ7NkNiI4OoXv3FYCcoKAtWFhYU6lSCywtYylY0JPMTDVgR2ho\nEJUqNaVFizlAJuaEF3NtJph48uQmEomOMWMaM3Fic0aNqk+PHiUQRZHly/sxcWJLrl8/hyjKkUhk\nBAZ+YOfOJ8yZs52WLXvw7t1TunTJnexz8WIgBoOR1q17IpFI+OKL+owdu46AgMcIgpSCBd2YPbsL\n3btX5vr1s4DZI/3w4S09euQ+VxZ2715M2bINWLfuGvHxyfTuXZn4+Kjs9kOHVuPr65f9bFhYWLFh\nwyUyMlI+7qEEZGRmngFEPDwGcvt2EFKpDIVCRXLyY8CJtLT3mEyvycx8i7W1Ky4uhdm9ewhWVvno\n3XsDBQsWoVAhJVFRZ5BIivD4cQJpaXG4unoCtoiiltTUMOrXH8+HD1rOnjWTKvTp8w0qlZpHj0Iw\nGtPRap9jMlkyePAyZs3ahptbCSQSCSNGzOXChd2Eh7/JNf4GDdqSL58z339vriVVqSxp164/06bN\n+Ox8/ZH4dD3UwsLiZ9dDtVrtZ9dDf4vB1Gg0qNXqX97xb4z/DOYnD8enhkShUGBpZc31pxIWBRoQ\nBBjdUUadclKICkOz8juQyXgUFMXlAo1pWNfpZ3r66T7/SnzqNYOZ2zbrH+ificDA/dSsmTeJZM+e\npVhZOeHh4c306dsYM2Yl+/YtYPToTkREvCMh4V229/hjpKenYjBkIJVa8M03ZmNsZWWVy/Dr9ZnE\nxr5CLlcycaJZ1WTv3rU0bz6NkJAzZGREUrJkV7ZsWcSZMwsxmZzx9q5C/fptkErfAg58+eUQJk++\ngY2NDWlpdwA7YmLisvto1qw94eHHKVKkPDKZF9u3L0Uud0EqdeL+/e1kZKQiim/R6UIoWLACEyee\nwtOzGg0bfk1KykuuXDlKzZpdePHiBA0bNkGtLgLYA3oKFFDj6FgMW1sPJJJkrKxye9pGo4BUakdm\nphKZzJGMjHRq1OjB8uU3OXo0nq1b76HXJ1OpUissLXPWlnbsmItSaY+PT24Vkt27F1GmTEOk0tx/\nng4eXIFcrmblyots3/4ET08vZs/2Y+DAhvj7j8XevjDu7rmvDSA+Porw8Jf06TMRJydXNm++iVpd\nkL59q/PkyS1OnNiLVptE377Tch13+PBazJ8mCVAEuIvBYP5UhYaGEx8fgiga0eluY/a6CwA6RDEZ\nuTyF9PQ4PnzYD+jQaBKZMqUJU6dWITz8CuCJ0eiERCLB3d2R6OiDSKUJQHHc3Wty/vwCKlWqwpkz\nB9i3bzkrV/ZDozmH0RiJSuWOIEhQKp3w919FYGBg9rtcp05LihcvzdSp/UlNTeHixZOsXj2f6dOH\nI5NZEhJykQEDWjJxYj9CQh5x8eIFgoKCPvts/5nIWgtVKpXZRjSLZjLr+5BV2qLVarMJFn7NN+u/\nkOw/FD8OyX7OkLyNUbBkn5FXESYGtZTRqqYUS4UJ7eUTpG5ZgkXD1ujylSbxTSy1v2mFTPbrpvL/\nKunnU0o7a2vr30xp91v6+hRv3rzh/fv3lC1bM8/+Fy7spXLlHB7SRo06s2rVJV69usbAgTVxcHD+\nLMkBwJYty7CysmXRomOEhj5l9epJeQz/6tVzUChkLFt2kidPgpk7dwhubpVxcfHiyJGZeHnVo3fv\ncRiNcWRmpqBWl6V799EcObIYQdBhYVGZbduWolKp0esFLCxsgSR27ZqByWQiM1PHkSOTkUqVhIUZ\nuXEjiHbt+jBhwmKMxkIIAsyc+SUfPtylevWhhIdnkJamAUw0aNAdC4t8HDu2BIlEiYdHNc6fX0dq\naiwWFh6ANWfPmrOBfXwGIYrppKVFo1AUISv1IDk5gjZterBgwW7y5bPE2roAY8bMx9W1CDqdjseP\nbxIdHc6gQTNy3ZeTJ7dSr163XHOVlBRLWNhTevbMm9Rz7NhGqlUzk0rY2uZj6tRtbNhwF4XCwM2b\nJ7GxsflsaG/jxmk4OBTFw8MbAJXKglWrTlK5cgvGjWvN2rUTqVmzGQpFDq+qKIps3DgDyDrfG8zs\nRwDOiGIyLi6ladFiLub13QKULdsR87qmK5mZ0RiNJooWrYqf3wYkEgMGwytEMRkwIZOlolRGIYq3\nePz4IMWKNWDmzLtUqtSON28ycHT04u7dtcBT7txZg0YTQf/+axk//iRarRqTqQCpqQ+pXr02p06d\nY+HCRTx//ph1634gI0MkJiaUTp3KsXjxSK5dO0hi4lsKFCiAra09Hz48R6EQiYh4ilyuYtiwEWSa\n6Z3+z5C1FprFN/1pKFcqlWbXgf6a+tA/IiSbkJBAmzZtUKvVFC1alJ07d/6u8/3R+FcazCwIgoAo\nimg0mmxDkmGwZPMpkSPXjbTwkdKnqYz8dgLGpDhSN/1A5rMHWA+ejKJsVR5O8udBma9oVD9vwsrP\n9flXe5hGozEXpd0fEX79tdi/fz81a7bI47WkpiYRFfUOP7/clGzu7qXYuvUhen06KSmpxMRE5Wo3\nmcx1lRcu7KZhww54enozdeo2goJ2cPRoQPZ+en0mJ05spGvXkRQv7kXPnlO5fv00pUt34NGjC2g0\nb+jYcSEmkxGT6SXgQoMG7UhLS+LGjbU0azaBHj2+4dWrR+zaNYuEhOeMHHmUnj3XIIphzJnTmhUr\nepKZmYLR6AFAixbdqFz5SywtrSldugJ6fQYmUyaNGn1Dq1b9sbNzZuPGnJDz4MHrgSQWLx4JOPHu\n3WnKl69OtWqNEARn0tOjOHBgCfnze2Fp6YJUmoJer8JsTMwsQDNn+hETE86VK4fp338uSqUSlUqF\nXC5n7dqxuLv7YGeXD61Wi06n4+rVw6Slaejde2yued20aQp2dkU+ocIzIQgQHv6cuLgPefZ3di6M\nn99YBEFCVFQ4fn7ePH6cU3cpiiJXrwbRunXu7GeJRMLkyf7Ur98VnU5DfHwker0+u33AgOp8Sthg\n5tT1AFIBL0BK+fJdOHJkBpBG0aJtCQnZStmyLShevDBmwgcVb99GsHNnf0RRi3kNWAkYMBgi0OnC\nPs6hnFevbvDtt9UJDl4O3Cc29glmsW4tanVxUlIc2LRpFfPmfY1SaYtKVQzIx40ba9Fq33DhwmpG\njWrG6dNbKVDAmQYN2gEC3323jS1brrN06VG++24z69dfRCaT4+pakpUrj7FnTzBFipTA39+f/9/w\n6XqoXC5HKpViZWWVrW/74/XQd+/eceLECeLi4n63UsnQoUNRqVTExMSwfft2Bg8ezJMnT/6gkf1+\n/GsNpiiKaLXabOWALEPyMkKkmKvAN+1leBWRmL3P25dIWTkTuWdZ1H3HIrVzJO78TRJDP1BnUudf\ntXaZhb/SYOr1elJSzGtBv4fS7tfic2PbvXsvtWq1ybPvrl2LsLJyolixknnaoqLCABOurgXo06cG\nb9+aazYNBiNpaakEB18lIyOBXr0mIghmNpgePWawfPlEgoPNReRm71JOu3Zm8nA7O0ssLQuyf/9O\nDh2ajqdnbdRqRzZvnojJlEnhwo04cmQLmzd/ja2tMz4+3Sla1BNPz3I8eLCVpk3HY2PjjJdXXXx9\nZ5Ga+pqYmBAyM91p3rwLlSs34vjxXRiNRq5d28/jx5uRSBywty/N8ePzSElJoF+/MURHR3DlijkU\n5+RUFC+vOuh0r3j06AiQyYMHG7l8ecNHPlQL4uLOsGXLcDIy5BiNSYAWBuq+nQAAIABJREFUR8eK\nqNUyzMZEoF+/Stjbu9OgQavs+xAd/Y5Xrx4ybNj3qFQWqFQqZDIZW7Z8h7d3fQRBilZrruPT63Vc\nunSIr77Ky7S0bt0kChQojbNzwTxtO3b8P/bOPD6m6/3j79kyk8meIIRYK/ZdLbFTS+ylqCD2NfZq\nFaG2ovZda1+DlghFrbXvaxJSQiLIIkL2mcw+vz9uZiRoS0W0P9/P65UXuZl7z7nnnjnPfZ7zeT7P\nXMqXb8yOHbcpW7Yh48d3ZO7cIZhMJn79dS1ms5jPP+/92rly+/ZpSpeuz8OHj/D1LceVK8eIi3tA\nfPwjwB1h31aJRFIbeJ5lxEwoleU5fHgxZnMcYCI6OhSl0p27d0OIjNwKGBHE62Np1qwxEyd+y9Sp\nAaxbt5LIyEjS0tI4ceIEgwcPxtPTDZksHUjFbFYjGFEFZrMjkJ+MjEggAoMhDohHIrmPTnceeA4Y\nSUoKp359P3r0WIutbQ0yMtyoWbMj3t6tmDKlN8+eJVjvV6l0YOzYeRw9uo0bNy4hEokYOnQ6Cxcu\n5s6dO68do38DLHuYIpEIqVT62v3QuLg4li1bxpQpU5g8eTLdu3dn4cKFnD179q1EFlQqFUFBQcyY\nMQOlUkm9evXo0KHDv0q4/qNLKwHQarXWslcikShH6au65V/UczQmJaLeuxlzpgqHfl8jKSiEB81m\nMze+WsDdOl8wvv6b7V2+jPdZef3lnFG1Wp3r4dc3QWRkJLGxsVSu3OCVv504seu1MnkAmzfPpnDh\niqxefYJx49oxbFhjZs8OplSpMsjlCrZvX4qXVxWUyhcEgx49hvDo0T0CAnqwYsVRDh3aQN++4xCL\nxRiNBnbsWIaf3zI2blxMSso9hg/fTkpKInfu7KJw4QYMGTKFWbMGEBNzAn//PQCYzSaePDmKSGRH\nREQ89esLbcXGhiMsriKcnNTUrt0MiURKaOgFFi8eyLNnV2jRwp/ixZuwevV0HB1dWLPGn7Fjt/PZ\nZ104evRn3N0LcuLEemJiLMovIpycSmNvr6R160UA7NgxivT0MEqUaMGDB+cRvK5knj2TA0+pWrUv\nN2+ux2QyUqLEJznGcMmSYXh4VKJs2SpkZKQQE3OPiIirxMTcpW3bpuzbtzKreHZ+Hjy4jcFgpF07\nP7RaocqKJT3nxo1TjBr1Iy8jKSmBBw/CmT9/MTY2cqZNW8ulSyf54YcB+PqWRyQSUbdux9fOu5CQ\nMyQkPGbOnP24uhZg7twxTJvWC7PZCNgilDazoUCBriQmxmBrm4FWWwQXl+IolQVRq28hlSZjMNgC\nj1GrHyF4kc+oVKkSu3btolChQq+flECNGjWoUaMG8+bNy3E8MjKSFStWEBISwq1b4WRmghDqjQfM\nqNXOuLvXpWfPyTx5Ek9g4EjOnNlA+fIZlC1bg7Nnf+Pevfs4Oiowm4307t2YqlUbodOpUavTMRh0\nmM1GpkzpQ9GilSlcuBgFChSnUaNG3L9//19ZR/Kv1ilLrmedOnU4cOAAc+bMoVixYigUCi5fvsyB\nAwc4duzYG7cVERGBVCrlk09ezOUqVapw8uTJd72NXMNHaTDFYjEODg6IxWLrvmV2mI0GtBeOoTn9\nG4r6LZHXa4koW2HkxzsP8Swxk3aBX7610XufHp6wyGnQaDTWnFEgK9Xi/eNlD3PmzJk8f55Ir16f\n0rBhZ3x9/XF0dCYpKYHExFh69HhVqxTg5s0z9Os3C5FIxJw5wXz33Zd8+217fvhhLyVLehEVdZkZ\nM17d25gwYQFPnjxkyJCmyOUKq3d58mQw9vaFKFXKG4XiWzQaJ/bs2Uxk5O+AmBEjNmWxA+8CTpw7\nd5pu3SoRFDSLzMx4+vQJZMOGuVy+fIIrV34jJmYfnp7Nefz4GSrVXRYs6MxXX+2mYEEpjx6dpWnT\nkTRpMgCAihXrcefOOTIybnH48Dpq1mzFyZOr2LJlMKBAqayIt3djjh//kdRUCenpf/D8eRRubiVp\n23YK27d/SVLSRcAVV9e6JCWdQ/C+HLl5cyuW2plXr/6Gv38dzGYR6ekpJCU9QSyW0KaNE4Ksng1m\nsx6RSM7Jk8FZ0msG9PpM9HohFad37/K4uxelevUmtGjRh6NHtyCT2dOgQWsMBkNWIrwYkQjWrZuC\ni0vRHGpCtWs3JjAwjK+//oKoqMuIROrX5l6uXDme8uWbWgXcJ0xYysKFZo4f34FAeHoCVEYqLYCN\nzXMyM2OBGjg5leLBg7XAEwwGHcLyFY9IJMbeXo5U6sK5c6+vw/kmKFWqFAsXLsxx7MCBA3z//Sxu\n3QoDUklIOMeCBe0QgnMiwEB4+I6svhgxGEwkJ0sRiSSAlps3DwEKHB3z4+Liyief1OTRo1s8enSD\n1NQYDAY9mZmZtGrViqNHj6JUKvmvQqVSUaFCBerVq4efn99bn/+6PVAHBwdrlOzfgI/SYMrl8j9l\nfxniH6PevRaRnSMOgycicXPP8Xdjpobb3ywg6YvhVCj7zwTVLYYlVwtXZ1HExWIxjo6O1uLKlvt7\nnx7t62A2m7l8+Rpjxizj1q0LHD26hj175lO2bGPy5XPE2bkInp4lXjnv9OlgDAYDbdt2R61WYzbD\nzJk/M3v2AL75ph1VqjTHwcGZKlXqv7bdefO20bZtUcBMZmYGtrb2bNu2hFatphMRcYGUlHv07LmD\nrVsXALdp334GYrGYQ4dWotUm4uu7hcDARdjairl6dRM9eizDy6sKtWq1ZM+eFcBtKlVqj6/vXC5c\nOMG+fT+h1UYxdWo9RCIjnp5tOX/+Mk2a9EEqldK9+0BmzryFUlmFkyeXc/LkCuRyR6AENjZuBASs\nQyQScfXqbhQKOQkJLuzfPwNf31XY27tha1uC1NRb1K07l7JlK7Nxow/Ozk4kJ4sQCDEyhMXbSHR0\nON7ePQkLO4yjoycjRiygeHEvChb0JDn5Cb17V2DGjGCqVXtRV/TmzZMEBHRi0aJT3L0bwrVrpzh+\nfA979gjqQUWLVkCrVWFra28lewCcPbufXr2mZwkvvEiGVyhsEYu1FChQhosXj9OjRwUmTlxHpUpC\nm7dvXyQmJorvvvvZ2geTycTx49sRjGUcQuWW8sTFXUIi0WXdXxIPHnyHsBeZH4glX77WLFq0GHt7\ne7Ztm06JErlflLlNmza0adMGgMePHzNt2jSOHj1KcnJytk+ZEV5iAPJhNssxmy2yek8Q2LpaMjMF\n7WmDwR2IITX1ORJJURwcShAefp+CBT0QIhdi6tdvgJfXJ5QtW4ZKlSpRs2bNXC0C/6Z4m3UjPT39\nnbxke3t70tLSchxLTU39V3neH+0eZnZkN5oiGxsUjdpg32fsK8YS4PrkH3mk9MR3apt/3F5u7mOa\nTKYcFVPs7e2txtLSVl4h+33dvHkTjUZHq1Z+fP31j+zeHc3s2btRqYRiyiKRjOTk569cY+fORXh5\neaPVapFKpdjZKZFIJAQEbOCzz7pw48YBypev/afjt2rVbGxt7VAqC9C/f31OndqLWKzAy6sxQUEB\nuLuX4datwwgFiM38/vsGFi/uysmT8yla9FOKFPGkRYseXLiwHE/PGlSs2JKLF09x+fJ+4A4ikTNd\nuwrC7nXrNsHTswIajRmTKROlsgB9+07CbJawadN8AMRiCXXq1Ob5c0uiuhSdrig+PgMxGAz8/PMq\nAHr1WsKTJyG0atUPne4xW7bMIyLiJpmZhQAj8fGnkUplFC3aGK02FpFIDLgiEiUDrgjeDoSGHiAj\nI4mAgPV4e3+Gh0dRxGIRixcPI39+rxzGUhivbyhXrimlS1ekbdsefPfdarZvv0X//t8DYpKSEvH1\nLcPEiR2Jj49EobBl375ViERS2rb1RavVWQlFer2euLho7t8P5ZtvVrB9ezilS9fj2287MXFiJ9LS\nklm6dCzlyjXGw6OotQ+9epVHMC6pgBiZrAxyuR5X19IYjTcR6oPGAlWAWtjZSShYsDybNm3G0dER\ns9nMpUv7adfu9SH+3IKnpydr167l4cOHpKWlkZaWRlRUFEuXLsXPz48iRYogEiUhGP3YrH9NWff2\nFL0+Gq02CpPpUdYxE0bjI9LTb2I0pvOCGWwiJuYpYWHRTJ06Ax8fH3755Zf3em+5gbS0NJyc/nlV\nJi8vLwwGA/fv37ceCwkJoWLFirnRvVzBR20wLZvZ2RdfiZs7NpVqvdbQpIVH8nTjzxSf8TUuTv+8\nekduGExL+DU1NdVaMcXCYnsf7b0ttm4NpEmTbjn6U716UyZN2ohA79fSvXtZNmx4EQJTqzO4fz+M\nrl39USrtXskR/fTTzwAJly4d5tixF1qpFuh0Wg4fXkfPnl+xbt0pTCYb5s4dSeXKXVi8+EueP79F\nQkI4N29uAZ7j4lKSjIznxMWdB8zExYUxd643R4+OBfQ8fqxh+fJp7N27EokkgsKFy2BrW5NlywKy\n9jcjSUgQpNo8PNpgNGawdKkvffqM5f79cI4d+4XFi305eXI+crk7UB4wUaKEKw0btqFPn/HcvHme\n/fs34+FRlipVfDh+fDkVKjRGqUzj1KmdgB6ptADR0Qe5dOlnXFxKolYnYmMjA+wxmzWUK9cKIVgk\nIyMjBScnDypUqGEdl4SEh9y4cQp//x9yjNedO1eIibnPqFFzeRl7967g0087sHPnbaZODSIjQ4+/\nfyNGjGjEL78so0mTXigUCuuPhXm9cuXXFChQhhIlyiAWS5gy5SfmzDlITEwc3buXIybmHkOHvkja\nv3r1OCkpzxAMvrCFUKhQW3S6JDIyLgBqwBP4FHDg66+/RiRKz0YkM/P48R2MRj1VqlT5s+n43pAv\nXz769OnD8uXLCQ8PJzU1hbS0VNLSUrL9CMY1NTWFuLjYbH9PIzn5ORs3bsDX15cGDRrg4eEBQHT0\nH1y5cpwKFcrz888/06NHj7/pyfvB23qY75JWYmdnR6dOnZgyZQpqtZqzZ8/y66+/0qtXr398zdyG\nyPwxFDF7CSaTyZr/lJKSgoODQw6v7LXnGAz8Vq070WXqM+yXke/kuaWlpWFra/uPS2YZDAZUKhUi\nkUgQgv+bNJHk5GScnJzeO/HHkusp5FCVYt68QxQunJOMMm2aL5GRUWzefJ5du5azfv10XF1LMG3a\nZn7/PZBff93M3r33Xzu+/fvXwdW1FOXK1WDnzln06xdAt24v9kEXL57MyZOBBAVFZoVZA1m4cDiW\n90Inp4IUKtSDO3e2UKiQG2PHniAoaCkXLsyiQoX+9Ow5mcOHl3Py5HxcXDxJTn4MKBCLJbi4uDJ6\n9CFUqgzmz/8KZ2cpz5+fpXjxqrRrN4tlyyZRo0YtwsO3IpO5YG9fnNjYU9jYOKLTeWBv74aTkzvx\n8WGYTBG0azcVb++OhIVdJzBwPqVLeyESZRARISjaCCSWkgikk2cIhkOEpdSXAEH1R6FwxsWlBvHx\nv2edZ2DNmht4eJQEYOzYz8jI0LN69akc4zlkSC2USg8WLgzKcfzq1WNMndqdDRtCcmj8PngQwbRp\nPUlMjKRkyUqMH7+GIkVePN+0tGR8fcsxfvxm6tX7DJPJnJWvZ8JkMtOnT1XUahVms55y5WrSufMI\nZsywGAJbwA6JRI7RWBK4heBxyoFPKV3aixkzppOR8YwBA6qyfXsUjo6uGAx6fv55Hg4Oqcydm/OF\n4N8GSz7jf0kNR5AblL1RKlrr1q05ceLEO6WtJScn069fP44ePUq+fPmYM2cOX3755d+fmEf4KPcw\ns+NNva/zY5eRmCmh+5ohH6yEjclkspb0USqVf+pRvoy89jAPHz5MwYLFXjGWAFev/k7PntMB6NzZ\nn8aNuzBpUif8/esjk8lp0KDba+8pIeExjx/fY8KEDRQtWgpHR1fWrPmahIRHjBw5L8u73MDAgZOt\nLM81a6YgFkuwta2JSnWFChUGcf78PuApvXoFYTDouX59FcWK1eOPP+4yf/5QkpIOU7lyd8LCHuDu\nXo+EhF2YTJk8f65m8+axfP75REqUcOLevQM4OZVl4MCNiERiuncfRWDgQsqVa8Eff/xCamo0UAid\nzo3PPvuCZs06YTabWbQogKQkFfv3z8DGRs6NG4cQi+9z7144MpkDFSo04/bto4hENshkiej1Gbi5\nVeLZszsIhr8qkAKEI+zlpaLRpPDkyfmskRLIKAMHVuPAgVTCws5x9+51Fi3KaSyvXz9OTMx9Vq9+\n1VNfuXIcFSu2wM0tp5B4iRJemExqypf/DJUqhSFD6lG5sjfjxv2Iq6s7K1Z8hbNzERo0aCn0JNv7\n2Zkze1GpUli/PpQ7d0LYuXNpNmMpQfAgz2M0lgEuI+zNyoGCfPfdVGrVEnSIN2yYiKtriRyC81eu\n/MbChd+/ch//NuQ1jyCvYTKZ/tbx+Du4uLiwZ8+eXOpR7uN/BvMNjEnErpM8D9xD5d0bcXV59433\ntzVgZrMZnU6o62hjY/PW3mJeGUxLO+vXb6J581dZcqdOBaHXG+jcuS9GowmtVoNCYc+KFadYsyaA\nPXtWER19FY1GjUKRky24cuUEChQozSeflEOn09GmzZcULFiEmTN78vjxPQoUKItCoaBTJ0Ez9saN\nUyiVbgQE3GHOnEaYTJ6cP38UsTgaL6+m5M//CZs2jQQMDBiwjbi4KFat8gEcCA2NpE6d1oSErMTJ\nKT+1a0/kyJHFREaeZO7cQ4CIJk3GcPr0BZYunYi//3RUqljE4gf88cc1wBFQY2Ojxdm5OGfO/Ebt\n2s2wt3eif/+xLFgwCKPRyO7d35I/fwnat/8GD4+arFkzk9u345FI3DGZkpBIbOne/VdsbOwJCdnN\nlSvLMZsTEIlKATFZz7QI8CQrj9CMsN+nBDKzGLIC+WTs2MZZyegKlEoHUlKe4uxckKiom+TLVwgb\nG6G48rlz+3j6NJbvv9/7yvM7e3YfSUmJLF26EmdnV27evMjixWPx86tCrVrNuXz5CGPGrHnt3Fi5\n8hu8vb+kQAEPChTw4OnTCDZsuMCLOpdPEUQHBKayIFJwgUmTlliNJcDly4epU6eb9ffExBiePn2M\nt3fOvdn/IXfwpkb+YwlUfpQG821KfD25HsHdIQGIvp1C9UYlc639t6nDqVKpMJvNuSaS/j6RkJDA\nmTOnGTBg1St/2759PuXKNcrSAdVmJUELXnJMzH3y5StNYuIzunUrx5w5uylXriYghKAvXz6Kv3/O\nahD163/G8uUnGDu2DSEh5+jbdyIgfHk3bZpL06ZjuXXrOCkpEbi6tkWvj8NgSCU2Vsrp0z9z69Yv\n9O27BbFYzNat/bKeSyVAxcWLs7G3d2bMmOPodFr++COIx48jAVtsbe05cWIRcrkHT57EMXmyN6BG\nLHamUKEOxMc/pFGjNoSFbSYl5TQKRTXmzBmAszM8f34XW1snRCJPdLpYtFojNWt25MKFIxgMGuRy\nF7RakEjS0WhS0elU2NjYU6lSJy5fXgGkkC+fDWXK+HPu3Fy6dfuJHTtGI4RsiyDkDGYvwixmxYrz\n6PU6kpOf8fRpLIcOrSUp6SlSqT3z5g3DYNDg7JyfihXrcv36CerW7YqLS35eXid//HECtWp9bi0g\nXbVqHTZuPM+pUwdZsGBQFjN6LzVr1sfJyc163o4dC1CpVIwZI4RMU1MT2bBhKoKxLIKQGnMy69MF\ngdJIJDHIZC5Uq1YXrVaLWCwiLS2J5OQEOnd+IbBw6dJBWrRo8a//XsD/fw/zfZYO+7fg3z/L3jP+\nynglhj/kcuvBqL7sT/dxLV77mdxu04LsdThtbW3fSSQ9Lz3MDRs2Uq9eO+zscm7+Z2Sk8OBBODNn\nzkGvN6BU2iGRCF6ywWDg+vXTDB++lJYtv2DKlAGMHt2KHj2+ws9vAtu2zUMqVdK6dVdLSwjeFHzy\nSTlq1mzIuXMH2bx5Hq6uBSlQoAjPnydSpUonZs6shatrOZ4/T0IiCcfbewBxcTJ+/fUbZDJ30tNN\nLFjQlvT0R+TL15lPP63BoUOTUCoLk5HhxNSpTRC8HxMCG1VJZqaQA6jVxiAs+iagGBUrtqZLlyHc\nuHGZoKAlODrmQ6+PR6c7AUh4/lzJ559/T7VqLZFIJKxcOY3Y2L1MmdISk6kgzZv70bRpG8LCrrF7\n92K02uvs3DkST89mPH8eB7ghEqWQmBiOTGaHWCwnJCQQITT7jAIFXDEYipGUdN46PmBALpdRvHhp\nABITH/PTT6Pp3ft7unTpD0BMTDQHD27n8OF1aDSp3LixnyVLtPTrN4X8+QWxjv3715GamszYsa/u\nE1asWB2TSY+Pjz8XL/5Kjx7lKFu2Br17T6Z06aps376Qzp2/wdZWEID39S2ddaYEQfYuCsG79ABK\nU758OVJSHlG8uA8KhSKrzqORoKAl2NsXxMUlHzqdDrFYxJUrBxkzZsA/ma7/wxvg/7uRf1t8lKQf\nS4gThGRbiUSCQpEzhyv6dBihXUaQ0bYr3dcOzdVJo1arEYlE2NravvbvlvCrVCpFqVS+M1knPT0d\nuVxuDbu9LxgMBtzdC6FSqXB2zk+tWp/h5zeJ/PmLsHjxSM6ePcL27aHIZNIc47lz52K2bJnPvn0P\nrfe6d28gq1aN5pNPKhIbG0Xjxn6MGiWwK3U6PUajAVtbW1JTn9OtW1m++mo9kZG3CQqaj0JhS8uW\n3yEWKwkOHoXZXJOCBe1IS7tJQMAfrFvXl5iYcxQu3JuoqN0I9P8igAaBYGMp6gyWGpRisRSTyYhS\naUepUiVRKOTExMQRHx//0ueFnEjBqMsQi5V4eJQgJiYEZ+eqpKToadSoHe7uhTl9+gBPngjya2Kx\nG8WKVeT58ygyMhKyaaCaEcg/sqxr/oFUWhKDASA9q7/lEQgyMfTsuZegoOGo1bFZ/RDw669CCs+A\nAdWxsXHjxx+P5nh2gl5sdXr2nIpWq+HIkS0kJz/C07M03bt/zZIlo2nWrA/+/lNfee7jxrUmOVnN\nunXCPunVq+fYvHkOUVGXrQtuv35TqV69KQsWDCYqKixrnEpk/XsPIQxbjf79+9GqVUu6dCnE4sXn\nKV36RUpBv36V8PJqzDffLMRkMpOa+pyhQ6sTGnoTOzs7JBKJtVjyv9HbMRgM6PX6P/3e/xuRkZGB\nnZ3d346lVqulS5cunDhxIo969mHwUXqYfxWSNZvNnJq6hfTlP8HgEXT//vUklPeB7JJ2dnZ2/5hF\n+6Fw6NAhPD1L8803m9mzZz3nzgVz5EhFChUqzrNn8Xz++bisdIicCA7+CW/vzjleDDp08KV69bqM\nGNECtTqVWrXqvrbNuXOH4uJSnObNO9K8eUeKFCnCihUT2bs3GJEoBChA4cJliY3dQp8+Wzl5cgOR\nkb/h6lqWqKjVCCxUExADmHB0dKRcuXJ06dKFfv36vVGyeGxsLDdv3uTo0aNs27YNtdoSEhVhMomJ\niXkCOJKSch2w49SpdYAOkUiPSKTJYpE+58GDk7i4eNGp03QqVWqGXm9g9uxmGI3puLk1QSSy49mz\npxgMzxBSLUAwmGmAAlCwdasvgtf2GKHKRxJgpl27fNSr146kpCQ2b/79lXuYMKEjHh4V6dZtEABd\nuw4iNvYB69bNYe7cgYAIBwcZBoMhR/gzLOw8d+5cY+HCF9esWbMeNWv+SljYBb79tj0eHtUIDFzM\nunUB2Vq0RAkiEV4MChMQEEDdunXZunUmSmW+HMby7t0QEhIeUqyYmmXLJmNv74hen463dz2rUIeF\n/W4RVxCLxa8Y0f/hzfE2vtS7ihb8V/BRepggeHGWsKfZbLZKUplMJra3m0r5YZ2p1ub95HW93ObL\nkna5LZJu0c1930ohLVr4ULXq57RuLQhua7VaoqPvM3/+EB4/DsXJqQCDBs2gefMXNPHw8MuMHt2K\nHTvu4uqa75Vr+vlVQ63Wk54eT4MGHfj2258wm0Gv15GamkifPjWYPj2Y2rUbYTKZGDasMd7eo7l+\n/STh4VuBmghEEhUSiQNGo2BAsiNfPnemTJlE//79c20sLl++TEBAADdu3ECtzuSFgcjetisuLl60\nbTsET8+SLFjQDq1WC3gikzmi12tRKETIZMmkpyvw9KyDu3shrl5dgEjUELM5EXiCTGbEy2skDx8e\ny8pdLIpQ3SMVQT3nmbVdudye4sXLUKVKI1q18sPd3ZNly8Zw7Ngu1q+/YmXGajQa5HI59++HMGZM\nK6pXb8etWycxGDKpW7clgwbNwsWlAL16VaJkyTrMmLE+x/2bTCZ69apA0aKfMnt2IOnpyXz5ZXFe\nSMopAVVWXx+zaNEVvLwEIf7+/StRqlR9GjXqwM8/L+XBg8sYjZmAhAIFiiCRSNFo1KSkJDJypD9T\npkzJ8XJpUfAyGo2YTCbrvxbtU4sRzWsvVK/XYzAY/jMe5tukwURHRzNnzhy2bduWBz37cPjoDaal\nYomdnd3fn5RLyN5mdkk7pVL5zrTs1+HPws65iZCQENq168iSJeext3dAp9NZjXTfvtXIn78szs75\nOHMmEFfXAnzzzY9UrdqQkSObodPJ+PHHV4vp/vHHFUaNasWmTaE8enSf77/vi1hsZMyYJXz6aXPG\nj2+PSmVi/XohFHjqVBBbtiymf/9gpk71wmx2RSw2YzIlIsitaRAWahmQTrNmTZg+fTpVq1Z9pe3c\nhslkIjo6mvnz5xMcvJfU1BQEwyFF8LAsUmqZ2Y6beBHeLYzgRYLgPcoRyDJGhLqQxRHCmncBMU5O\nVUhNvQg4I5CANAA4ORWgWLHqPHhwk/T0BGQyBXp9Jr6+k+jRY7S1vxqNBolEQq9eFSlZsjazZm3C\nZDJz8ODP/PLLEp49i8Le3gmVSsXOnRHY2eX0LpYvH8uxY0Fs334XudyWdu1csu7RHYGYJAYqAI8o\nUaIiy5cfAYS97m7dPJHLHdDrVZQtW4t27QYRGDgHd/eKTJu2DgCtNhM/Py+uXr1M/vz5/zYaYzab\ncxhPQTvYbPU+sxvR9wW9Xm+tjvRfwNsYzNDQULZs2cKPP74q1P9eVfxVAAAgAElEQVT/CR+10g98\nGBUcSx3Ov5K0+69h/vyFtGs3GJnMJovUo0ShUBAZGUZcXDSjRs1m0qSl7Nx5j6JFazJ+fEeGDKnP\nnTvXGDJk2muvuXTpV3h51aNQoSLUrt2YXbsi+PTTjsya1Z+BA+ty9+51JkwQNE8NBj3r18+gRYsp\nzJvXHrPZADzFZEqgUaNRODoWRZjuGtzcbEhIiGffvn15Yiz1ej0ZGRkUKlSIFStWEBcXi0ql4urV\nK3Tq1I7Chd2QSnVYjNoLbVLLHqQEwWOUZf3NGcE7UwIOWT9xvPAo1aSmxgKFEHI23RCMrg2pqYmo\n1fHs2BFC166j0Ou1ODuXYPv2OXTuXJK5cwcRH/8QgICAzhiNEqZOXQ2AWCyibdtubNp0nnHjfiQj\nQyhc0KNHWb7+ug0HDmxArc4gLOw8hw5tZezY1dja2tG3b0WEsS+EQKASjGX58vURi9V07ToKgKtX\nT+PnVwmAJk0+55dfYpk37zDe3h2IiblPx44vIgA3bpygUqUquLq+yMf8K1hqPNrY2KBQKHKUp7I8\nI5VKhUqlQqPRoNPprEb1Y8XbEH7S0tLeuXj0fwEfrYdp2evQ6XRotdo8i7+bzWZr5XKFQoGtre17\nDwv9HcnoXREZGYm3dwOWL7+AUumQw1MeObIZGo2I1auP5DgnKiqCUaOaoNWqaNWqJyNHLsqxN/bo\n0V0GDKjLsmVnKFMmp5bkw4eRDB5cF5NJR8GCxWnXrh8ikZgdO5aRmWlCr3+GjU1BZDIpzs75ePr0\nGXp9DGDm66/HMXXq1PcyDi8je81VW1vbN059MJlMPH36lNDQUA4dOkRoaChXrlylRYtByOVKVCoV\nR478hI1NISQSZ2QySEu7jUBcskHYj5ViESkXVHRkCPuZMkCHVCrDaIShQ+fTpk1XNJpMgoI2cuRI\nIImJUSgUSjQaNUuXnqRUqbI5+qfT6ejVqzLFitVg9uytHDmymyNHdhIdfQOdLg2QIBZLyZ/fg8TE\nx1l7im4IXnEcUIH+/b/GaHxIYOB8AgPvMX16f8LCDiISSfD29mXChGXW9g4eXMfq1ZMJDo6xHlu6\n1J+mTSvRp0+fN1ai+TtYvNDsnqgllJsbhCJLVOtDiKj/ExiNQvrXm1RQOXToEHfv3iUgIOBvP/tf\nxkdJ+smOvPQwLZJ2ABKJJM9K+bzPe9Tr9Xz33TR8fPqSP3/BrP06AQkJD7lz5yrz5h1+5TwPjyLo\n9VqaNevPyZNBnDwZzPDhP9CihS8A8+cPp1ix6q8YS4CwsNOAmaVLz7F9+zI2bpyLXp+9BJADZrMT\nKtU9VCo1kISLizORkffzZLEym83o9Xo0Go214O7bLLBisZiCBQtSsGBBWrRogdlsxte3Bx4errRp\n0x2TyUxi4l2ePLnPjz/uQCwW0bevD6VLexEQsIzdu7exYcNsqlatyo0bWoSKGYURjKkZkGAwCNKQ\nMplgGBQKW3x9h+LrO5SpU3tz5cpxJBI5Y8c2p2rV+vTpM5kSJcoD8O23HTCbbZg5cxMSiRQfn274\n+HTDZDIxaFAd0tN1tGrVm8OHf8JkMiCEku2AaMCdNWt24+FRmH79ylOkSEV8fb1QKuXMmLGHgICO\n+PqOzDEeR45swcurnvV3o9HApUu/sWDBt//4Gb0OFi9UEHgQPM/se6H/IxT9OT4W0s//QrJ5YDBN\nJhMqlYr09PQ88yrfNywh5XPnzrFr127Ont3Pli2zSE9/UfZowQJ/ChUqT5UqtV45f+XK8djaujJ+\n/AKCgu7RuHEvFiwYhZ9fNU6c2M2dO9cZOfJVUXCDwcDq1ZNp1mwAZcpUZsqU1dSr54ONjT1KZWVA\ngqtrI/T6uwihzCTmzp1DTMzjPDGWJpPJGkGwhKXf9VmLRCKGDh3CoUM7kEiEqvdDh35LfPwjHj+O\nxGw20737MC5dOolKlUbt2g2QSm0Qi5PYuDEQN7ciKBQZCB6nHiGEK/RpyZKxtG9fjClTfDl3bj8D\nBnhz48YZJk/ewp49EQwZMo/4+ASGD2+Kr28F+vatSUTELRYvPoiNTc7xnDatO8+eJbJixVFOntxA\nenoiwhKjRDCWYmbO3IqHR2GePIkmIeERUVEXaNiwDVu23OPGjd+xt3enWLHS1muaTCaiosJo0+aF\nctTt2xcoUsSTokWL8r4hEomQSqXWFx+lUmmNFpjNZrRaLSqVCrVajUajsRrV160p/7WcxrwUXv+v\n4KP1MC0T4X0azD+TtLPU4swrWPZMcwMv39OSJcto2vRL0tM1BAdvZNu2ebi7F6Vx406EhJxl9uz9\nr1xDp9Nw7NhO+vWbA4BUKmXs2Nn07j2GGTOGMnv2ACQSOXZ2rxq4RYtGIBLZMGhQACaTiQcPbnHt\n2u+0aDGf/fv9KV26I/fu7UUgzOi4fv0aZcqUyZV7/yu87FUqlcpcXRwbNGiAXC4hNPQSVarUwdOz\nOIULl2HNmtl8+mkLTp7cj8lkoGvX2lgYudeunaFPnybWazg6KhCJ3ElNfQIUABIBM2azgWvXTnDt\n2glARPv2AyhXrgpisQQfny/w8fmCpKRnjBjRgqdPYwETI0c2pmhRL8qUqU7p0tU4ejSQ0NCz9Os3\niz59KmTNb4tQfBr58gm5pNWqeRMf/wB//9qIRBKmT99N9erNADh9ejc1a+Ys0XXuXDAgpkGD1tZj\nly7tp0OHf15e711gCcdmT4HKTigyGo3W0OvLhKL/z0hPT8fT0/PvP/gfx/88zPdkMC2VOzQaDQ4O\nDtjZ2Vm/ZHlNNMqt9l6+p/PnzxMWFs7YsYv4/vsN7Nlzj8WLT/HJJ97s3LkYs9lMcPAyEhNjc1xn\n+fJxyOVOdOrUJ8dxN7cCDBsWAIgpVKg8Q4Y0oF+/Tzl2bAcmk4nY2EiOHfuZ4cOXIBKJUKnULF06\nhjp1hrJ//0SkUmfu3TsAGChcuAgqVUaeGMvsXqWdnV2upwWB8AyHDRvKgQNbAUhKeo5cbktIyCU2\nb56HnZ2cmjWbIZXacODAH/z2WwSOjvlp2LA1a9ceoWBBL9LSnmBjY/nKW7y/F3BxKUCzZj05cuQX\nevSozJgxPpw6tYfo6DuMGdMKtVrNggWH2L79Lr6+AdjYuHHmzBEWLBhKaOhZwMz69ROy5ppFJEPB\n1KnBJCU9plevAI4c2cSgQdXRajV06zbNaixTUp6SmBjLl18Oz9Gn/ftXU7JkbcRiYTzNZjMXLx6g\nffv21t8/tNf2poQiS1rJf4VQ9DZjm5GR8VF4mB+twXxfHqaF1JOWloaNjQ2Ojo6vEBI+BDP3XWDJ\nV01LS0Mmk+Ho6IhOp2PkyNEMHjwXG5sXNPnixUvTtq0g9uDr+x1RUffp0aMiw4c35f79UDIyUjhy\nZAd9+kx9rYLR7NkDKFOmIevXn2Lt2uvky1eGBQtG0bZtIQYOrIudnQsKhZgnTyLZvn02T58+4+jR\nrUAqBoMK0LJy5UrCw2+/9zG2hOQyMjKQSCTvnen85ZdfEhZ2mTlzvqVnz/qkpycglytp3vxz5szZ\nxPTpKxGJpGzfLjCHBw2awNmzh3FwcGbFip1IpQqaNm3P+vW/A+JXRCSSk59y/PgWlEoFrVr1Ii7u\nMXPn+uPv/xnPnsXRpk0PnJwccHR0olOn3vj7ByASaVAoXKhUqX7WVSQIqSM6wIWNG8O4dGkPCoUb\n584FsnTpSGrUaINYLKFbtyHWtnfunI+jY2E8PXPqNd+9e52WLV/Ugrx//yYKhQ1ly+YkIv3bIBaL\nkUqlyOVybG1trUpEYrEYk8mUI5Sr1WoxGAx/Gsr9UHjbkOz/9jA/IuTGRNXpdKSmpmIymXBycvpT\nT+O/5GEaDAbS0tIwGAw4Ojpa918nT/6OEiWqUbt2yxyfN5lMzJkzgBo12tGnzyi2br3MggVHMRhk\nDBvWiO7dy2Fvn58OHV4tiHvq1B7i4qIJCBCE24sWLcXcuYHs2xdPrVo+GAxGJBIls2cPZPjwRuze\nvYykJDHwECEFQ8ujRw/p2rWr1cBnZGTk2FvKLVhE8fV6/XvzKl+Gvb09NWrU4Ny5Xxkz5ns2bz5F\np06DOHYsGJPJhEgkomXL7gQFbQSgWbM2uLh4MG/e1yiVdvTuPY5fflmLXC5n4sRl6PU6Jk1aRvHi\n1bHsaYKIpKQn/PbbRlSqJGQyW1q27EuVKi05ejSIAQPq0qaNO23auDNkSAOSkp6g0SQTFnYWgdzj\niJBn6cKvv0bj5ubOoUObUKufEhp6hR9+OE5KyiO8vBrl2AM9ezaY2rU75LjfK1eOYDQaadHiC+ux\nCxf20bFjuw/uVb4tLKFcSz60UqnEzs7OWqJPr9eTmZmJWq22lvD7L3ihFnwse5gfvcG0TOR3mZiW\nUKVarcbOzg57e/s30n/Nqy/DP7k/S9KyhaiU3XtavXo1a9as5osvRr1y3rp1AajVmQQErLQeq1Sp\nBj/+eIgJEzag1WaSlpaAn19Vzp7dZ/2MyWRi0aJRNG7sh7t7YWsfjEYTSUnxXLp0gJ49Z7Bjx22C\ng+OoUKEudnZewAPARMGChUhPT8PNzQ1bW1scHBxwdHS0En10Oh3p6enW56TVav/RgpSd6CGTyaye\nQ15h0aKFODjY06CBDwA9egilwvbvDwRg4MDRaLUa9u0TQrejR8/g2rUzxMc/5Isv/HB3L8HkyQNo\n0OAz2rTpzZw5Y5kyZS6NGnVCLJZQtWoThHCqYJD0eg2HD68jJOQwGRkJ5FQqym60zIhERkQiIa1k\n5crjiMVivvqqKWaziXLlPmPbtjuUKlWO+/dD6NHjK+uZiYmPSUp6QvfuQjg2Lu4hQUHrWbJkJDKZ\nPTNmDGH+/K/5+eefOHcumA4dchrW/wpe9thyk1CUF/39K2RkZODk5PSee/Th8dGTfiz//yeT8GVJ\nO3t7+zcu6Pxvhk6nQ6VSvbb2Znh4OAEBk7GxcWbYsEYolQ5UqlSXrl1HI5XKOHhwE2PGrH5tysya\nNROoUOEzvv12MYsXT2TGjH7Y2zvSrl0/nj2Lx2gU8dVX8wELkcKM2WxiwoQOFCxYgR49RgCwa9di\nbt8+ixD+M9GvXz+WLVv2SnsikQiZTJYjRcBkMmEwGKzkDJPJhFQqtRIzpFLpnz4fo9FIZqaQNpPX\nhtKCUqVKUatWbX7/PZjWrbsjkUipV68dO3ason37ntjYyGnSpBPbti2nffue1KzpTZEiZZk9ewxL\nlwYxY8YqBg5sycGD2/H3n0BExG2GD+/Epk2/4+ZWkD17VvHZZ5+jULjy22+bMRp1L/XAIm1nh2A8\n0wFxVjWZoRw+vIoGDfwwGtX06VOexMQYSpf2Yf58oVD1pk1TUShcqF69vvWKgYFzkMsd+f77gTx8\neB2DIROl0hG1Og03tyKkpNwjLi6DCxd2IBabqF69uvXcf8MeZm7hXQhFH3oM/heS/YjwTwymXq9/\nbajyfbb5T/GmbWX3lO3t7XMQlQDu3r1L69ZtGTZsHkFBf7BrVyRffPE1cXEJfPVVa0aNao6jYwGq\nVq39yrV/+imAlJQUZsxYh7t7YWbP3kRQ0AMaNOjO7t0/ceRIII6ODhw8uB6VKiPL+zOxbt0U4uNj\nmDt3NwBbtsxk48bvLD3m9OlTrzWWfzYOEokEuVyOUqnEwcEBBwcHaxUXrVZLWloa6enpOcJi2fec\nPoRX+TJGjPBn//4t1mfq7/8tKSlJXL58EoBhw74lIyOdI0eEMRs/fi737oVz48Z5ChcuSpcu/qxc\nOZOUlOcsXLgRpdKZIUPa0L17f6ZMWc3Jkwc5f34vXbr0x97eUoQ6Z/UWQfBdBTjSt+8Cdu16wPPn\nEYANycn3GDmyAQaDCJFIypw5m6x9P3JkK/XrCwWg4+NjmDp1AEeObEGvV6NUwqhRi9mzJ5FJkzYj\nEklYt+46ixefZPXqq3zxxXD8/Hp9cOPwT/FPjPuHVCh6m/6q1eo8yyv/kPholX4sicggyDrZ2tq+\nUXUQCyPSYDBYJ+4/+QKnpKTg4OCQJwuvxRA6Ozu/9u+W8E9mZuafir/v37+fwYOH0q/ftBzi6SB4\npP36fUp6ug65XE5KSgxFi5ahT58J1K/fnj/+uMLo0a0YPXo1Pj6dc5xrMpnw9a2ArW0hXFwKcO/e\nBbTaNGxtHbC1tScpKR5nZ3dkMhuSkxMwGLQA2NgoSEiIz/WSZZZEdcuPJQUou7f6od/ozWYzNWvW\nomfPcdSo0QCA8eMHkJT0mDVrDgEwZ85Ebt48wY4dFwCYNGko0dG32LbtDAB9+7ZGJjOzfHkwKSnJ\n+Pt3ws7OlhYtOnP8eDBxcQ8trdG79xS6dRuCRpPJs2dPUalSmTq1J1KpM2vWnMXW1o4zZ/Ywa5Yf\nIMbVtST+/gtZtWoYpUo1ZNKkVYhEIh48CGPkyIZMn36ATZtmERl5DmfnfKSkPGXr1ihcXF6I70+e\n/DnPnqWyatUx67GRI71ZuXIhdeu+qFxjkZZ81xJ4eQG1Wo1cLs/17/ybKhS97RhlZma+sYpSq1at\nOHv27H/2ZeZN8dEazOw1Md+kXmR2o2Jhvr3L5EhNTcXOzi5PKsX/lcG0qA+JRKI/9ZwMBoNVgLlj\nxwHUrNmCqlUbYGMjR63OYPDgBqhUGjZuPI+NjYL798PZuHEBt24dRy63RafLpHLlVvzww5ZXrj1n\nziDOnj3M9u23rQWGnz6N5+jR3WzbNhVX17J4eVXG3t6JY8cEYedixUoQGnrzvY6d5XnrdDpr8e7s\nhtSyEGUP4+blYrF161bWrt3K9OlClZDHjx8waFArli3bzSefVECtVtGlSy2GD5+Cj083MjLS+fLL\nuvTuPYouXQaSkBBH//4t8PH5gvz5i3Pw4A4SEqIAqFatOV26DEIqlbJkSQCxsX/g7JyPcuWqU6xY\nGX75ZQVSqS0dOgwgIuImkZGhpKcnI5G4Mn78TzRo4MONG78zaVJHNm26h7OzK2YzTJzoQ3i4UCOz\nVKlK+PsvYs+eZURE3GX9+os57q9Tp0L06vU9n3/eB4DY2PtMmtSaiIg7Oebof8lg5mVfX1etBd5O\noehNDabZbKZ169acOXPm/73B/PfPsjzA34UsLUxRnU6Hg4NDriSlf+iQrCX9xULq+StvVyqVolKp\nuHjxIjVrFmffvkX4+pZj1qx+dO9eAb1exLp1Z3B0FAxy6dIVmD9/G7t2RWAyGTGZ4ObNgwwf3owL\nF15UJTl2bCcnTuxm0qQt2NraIRKJEYnEuLjk5+DBlRQuXJmtWy/Qo8dQq7Hs0KED4eG33quxNBqN\nZGQIYWF7e3vry5RFJN/R0RGFQoFYLLYKq6enp6NSqawpAu/72Xbp0oWHDyN48OAuAJ6eJShVqgpL\nl04GQKm0o2nTzqxfvwAAe3sHunQZxubNS0hJeU5ExB+4unqwf38gW7bMo0SJksyatZV8+Ypz9+4l\nnJwcqFSpBmvX/samTRdp1KgL0dHR7NixDKNRhNks4vDhXWRkGHB3L4lEImf79lArGenHH7+mfPnm\n5M9fkKioUEaO9Ob27QsUKlSKlSsvsmjRKUqVqsbVq8do2rS7dVE3m03cvHkCnU5L27YvmNQC2af9\nK3P0/9MeZm4iNwhFbzO2H8tz+J/B5M+N18uSdg4ODnniEeY2Xr6/l9NfLB7UX0EikVC1alXGjRvH\n6dMnCAm5Qa1aXri5uSKV6ti7dxXx8dHWttTqDIYNa4xM5sDu3RHMnBmEWGzPtGl+tG3rgb9/Y+bO\nHUr79mOpVashIpEwFU0mEyNGCPtfAwdOZPDgTxkxoiEAQUFBBAYGvq9hspK4VCqVdZ/zdd6AZTGS\ny+XY2dnh4OCAvb09MpkMk8mUI6UlMzMz11NaAORyOcOGDSU4+EUdyuHDp3DvXri12sjw4RPRaDL5\n+Weh2ki3bv0Qi2X4+tZn9uzhuLo6UaVKI0DE0KFTqVatHhs3HqVUqWqMGNGGbduWAFCgQEE6depJ\nSkoshQtXZt++WPbufcSOHWHMmLGeqKgQevWaiYOD8MIUFRXGo0cRNGvWgcGDqzN6dGOSk5OQyexZ\nu/YaJUpUQCaTER5+Ho1GzRdfDATI8oZM/PLLIjw9qyGRSKzz9vz5YDp1+jxXx/BjgoVMZCm5Z0lr\nkcvliMViK6FNpVKRmZmJVqt9Y0bux2Is4SMOyQJZxXpfrebxsvzb+wijvEkYOLdgNptJTk7GycmJ\nzMxMDAYDdnZ2b7Rn+ya4ffs269ZtYMeO7ZQoUYFq1ZoRGLgQudyZ1at/x8npRShYp9OzYcNcdu9e\njEgkw2zWIZfb4eDgjFyuIC4u2voFFEp0CR5uYmLiex0rg8FAZmYmYrE4V563JSRmYeQaDAarobWE\ncd9VtDs5OZmKFSuxZEkwBQp4ADBgQDtcXOyZN094sVi9eiEHDmyiTh0fzp3bj1QqRavNZOLEpVa5\nuSFDPicp6TEbN55GqRRC77t2bWLjxtm4uLji6zuKn36aQaFCFVi+/CASyYuXxlGjmpGaqmHjxiuA\nIHs4YEBVEhPjEImgfPnmjBo1l0mT2lCmTBMmTVplPXf8+Fakpelz7FOCmfbtC9C//3xat/4Ss9lM\nbOw9vvuuI+HhYdbwt+X5ZGRkYGdn959YsP8Lfc2+F2rheGQXpbfshWa/B5VKRa9evTh69Og7t6/T\n6Rg6dCjHjx8nKSmJUqVKMXv2bFq1avXO184NfNQe5uvUfv5K0i63287rd5W0tDTEYjFOTk65ZiwB\nKlSowMKF84mKimToUD9+/30zmZlpNGzYnISEB9b7NJshNPQswcHLqVrVh4MH49m06RaDBs2jVq2O\nxMZGYjbb0LhxHysBpFu3bqSmpr43Y2lRMVKr1VYWYm48b4txtFzT0dHRumdtNBqtalDvIqzg4uKC\nn58fwcEbrMdGjpzK7dvXiY9/jFarITn5OTpdJufP72fw4AkEB4fSsGEnFi6cYN3DX7p0B1KpHUOH\n+liPffFFbwIDL+Dm5snSpRPRajV4eXlx+/ZFDAbhRebEiV1ERNzEz+9r1q6dyKBB1enQIT+JiTHU\nqvUlgYEPmD9/N2aznsTEGAYMeFH6yWQycfv2JT7/fGiOe7p48SBGo4G2bX2RyWTY2Nhw8eKvdOzY\nAYlEkmMxt7zw5rb3/jEju0IRYC0gIJFIrOW+sisU7d+/n/v37+daSonBYKBo0aKcPn2atLQ0Zs6c\nSdeuXXn48OHfn5wH+Kg9TEtOk0ajwWAwIBaL0Wq12NravlGY8l2gUqmsqh/vExZFGoPBgIODQ64a\nytfBUv8xISGBrVu3Ehi4E73eQK1arUhKesqpU3to0qQv33yzwHrOnTvXmDChE3q9Fm9vH0JDT9Oj\nhy/Dh/tTrFix99ZXi1dpeQ55TRzJnl9n8UQtpAyLJ/p3XmhcXBw1anzKTz8dxtlZKKY8YEBbNJo0\nUlOTkcvl1KjRhLNn9xMYeB4nJ1eMRiPdunnj5VWOWbOElI/09FT69WuJnZ2c1auPYmOjICIijK++\n6oKXlzeffFKJ8+cPkJT0CJNJj0gkQVg5jIhEMpycPChb1pvY2BCMRhvWrTtv7eOUKZ2IjX2S49hv\nv61n5crx7Nv3xBqOBxg37jN0OjlLl/4KCC80/v61WLNmuZUdazabMRgMaDQazGZzjpcpC/nq5XzG\nDw2LEMi/3cO04K/6a4meZGZm0rdvX65du4ZOp6N58+bUqVOH2rVrU6tWrVxb26pUqcLUqVP5/PMP\nH5L/n8HMmhhardZaZSIvvmjvu6hzdlEFW1tb1Go1zs7O7/3etFoter3eyqo1mUyEhoZy8OBBli9f\nQVLSc/LnL0TBgp7Y2TmiVmcQGiowJKtUqUHnzh3w8/Mjf/78762PlrHR6/VvnE6UF3hZWMGST5ed\njfu6lJYRI0aiVsvo3fsrwsKuM23aMFSqJFq27MqIEdOQSKT4+X1GoULu/PDDNgDu3LnF2LGdGTVq\nJi1bdgUgLS2ZgQPbIBYbGTp0GnPnjqZatdbMmLEmR3tpacl8910PHj2KYf36Szg5CYY6KSmBnj3L\nMH36fmrWbAQILyUdO+Zn5MjVtGjRxXqNwYNrkD9/OWbO3EJGRhr37t3m6dNYliwZQNOm/WjYsB2f\nfFKe1NQEvv++K3fuhFvnrkVGzsbGxuoJZU/wf5m4YhmzD2lALeuM5Xvxb8fb9PfatWusX78eHx8f\nLl68yMWLF1m7di2VKlV6534kJCRQvHhxQkJC8PLyeufrvSs+aoOp0WjIyMiwepd5Ke2UmZmJ2Wx+\nL8m+lmRmiURiDTHmVd6nxWDa2dlZ90MA62JlNBqJi4vj8ePHpKenW9M1GjVqlCeJz5bFViqV/ifq\nklqMQHYjagmbWQxpTEwMdet64+VVm6tXj1K5ch2eP09GoZCwbFkwAOHhIYwb14VZszZRtargqa1b\nt4SgoFWsXn2IwoVLAJCZqWLAgDYkJcVQrlw9Fi4MeqVPN26cZtKkbsyefZgqVV6IVEyZ8gXR0Q/Z\nvPm69diOHT+wfftigoNjEYnEaDRqDh3ayE8/fYOdXQEyM1MwmbSIxTJAMHq2tnbo9ToMBi0ikZhO\nnTqxefNGa/jckgP9VwS87LmJL5NXPoQXaiGD2dnZ5Ul77wpLvvmbGMxTp05x4cIFvv/++1ztg16v\nx8fHh9KlS7Nq1aq/PyEP8N+jfOYiVCqVNV6v0Wg+dHfeGZYvpV6vR6lUvhKqyot3I0s7ljf9lxck\niUSCp6dnntfOy77Y/pu8yr+DhWSRXd7PYjgt9TddXFzw8vIiJOQU3333IzVrNiI6OpLhw9vyxx83\nKFeuGuXLV6FmzRbMnj2K7dsvIhaL6d9/FKGhlxkzpgtbt57FxkbBiROHSE6Oo3DhMtz5P/bOOz6q\nMnvj33unTzLpIYVeI6AiIIqCbUVFV9aydtS1IrD6Y13sba1rXwsqNlCxd9e6dhAboBRDlSIlkJ5M\nMn3m3vv+/ri5k5n0nlCezycrO5nM3H7ec85znmf9T9x8870dsfcAACAASURBVFnceOOzJCbqxC1F\nUbj77ks59NAz44JlVVUZv/zyNTfd9Hbc9v/3v8+w//5H8/DD01ixYiEVFUU1+2Vh0qTTOeSQyey/\n/xFYrVamTx9HWtow/v1vfV43HA5x0UV5XHXV3+PK5y6Xq9mFTixRxThudYMoEJfFd3cW2tPQGebR\nRx99NN99912Dv5s4cWL0d5qmccEFF2C323niiSdatsFdgL366jAk7WRZ7nICTkcGMGOuqqqqCoDk\n5OQuYd82tB1C6EbKhhpST3BciEQi0Wy2K/q4nYm6Iy2JiYlYrVbmzHkcu91O//7DCAaD5Ob2Zfjw\n8dx//z8RQg8ON9/8IIFAkKefvjP6eQ8+OB9JsnLVVaewYMFTPPHEDVxwwT95/vmvue++d9m69Q/O\nPnsEd9xxIbt2beGBB2agaRZuuumpuO169NG/k5Y2kIkTT8DrdfP++08wY8YhuN0lLF/+Mfn5Kxg/\n/hyefnoFLlcqU6ZczfTpDzJmzLFYrVZ8vmq2b9/A1Kn/iH7mhg2/kJWVzQEHHBAlZbV1BtoIhsZs\not1ux2azRQfzjYVIJBKJ+lbGDvzvbegsa6+FCxfGLVpif4xgKYTg0ksvpbS0lHfffbdHmW/v1SXZ\n2DJXU9JxnYG6vb62wmBcaprWpHJQa+T/2oJYZREgbpwCiOvBdZW0nKZpURKSMbS9J8GoKGiahtPp\n5J//nI3brXHppTegqhqlpUVccsmxzJx5K3/606mYTCYWLvycxx67ljlz3mfw4JEAVFSUcv75RyJE\nhKuv/g/HH3923Pd88cX7vPrqo5SUbEI39x7IyJHjycjIQZZNlJcX8vnnL5Oc3ItQKEAw6MFuT0VR\nAqSlDeW55xZGrbzy87/n+utP4q23CkhMrM1Knn/+Jv73vzd5552N0dcef/xKDj64H1deeWWXcAsa\ny0INGASstmyHwTDdXfRWW7O9zzzzDDk5OUydWt+yry2YPn06q1at4quvvupxJew96wnSRnTHiEd7\nv7OuU0pzfoydtY+xDxijDAbErQpj+3CRSCROWi6WDdqRMHqVFoulxS4yuwuMLD4YDEaJapIkccMN\n1zN27DimTPkbvXrlkp3dm0mTzmHevAc4/vgzkWWJY46ZzOefv8vNN1/CvHnfIMsyd989G0kSyLKN\nr79+h0mTzow7H8cffxpHH30i55xzEOnpeaSlZbF27W/4/YsRQuDxFGEyJXHAAZPZf/9DOeKIE5Fl\nwXnnDeWaax6P87186aXbGTTo8LhgCfD1129wxBFGoBb4fF6+//6/PPTQD13GLG3KLST2R1XVuPfv\niaXc1lp7ddRYybZt23j22Wex2+1kZ2dHX3/22Wc599xzO+Q72oO9OmA2NIfZld/d1u+M1X9NSkrq\nlpJF7NxqQ73KWDTWh1MUhXA4HCVdtWacojHUzbr29Kwydv9ycnK44oppvPLKI/zznw8CMGvWrSxe\n/CFz5tzC7NkPAHDPPXM577wjuPfeq9i2bRs+Xzn/+c/7CGHiuuvOZMaMSTz22EfY7U4Mz8vbb78I\nkymRp5/+X5xwQUnJDi666CBuu+0VDj30mOjr9957IWlpgzjggHHR14JBP2vXLuO22+KJRJs3/4bb\nXcYFF1wdbS/8+OOHjBkzhgEDBnT0IWwVWtMLhcaz0N1NDac1z6aONI/u379/jy6D71nLonaiq4Nm\na7/PoHq3RP+1Ljq6Z2qMPwCtXl03NNTvdDoxmUwoihLVuDUsi1qizWqoM3m9XkwmE4mJiXtcsDR0\na2VZbnT//vnPq1m58gc2blwN6Jn+rFn38vXXH7Bjhy6u7nAkcOmlN/Hrr98RDLpZsOAn8vIOZNiw\n4TzzzBdUVro5//xxrFq1hGAwwCefvMLKlT9x111vxAVLgPvvn0ZOzgFxwTIcDvPDD59wzjnXxr13\nwYK7cDrTGT/+2LjXX3jhNvr0GUVyckqN2pLE4sVvcfHFF3bIcetINNULNaT89pReaGeQfnZ37AuY\n1JZWujJgtna1aei/CiFarP9a9/vau3+xmaFhH9QRq+aGfCoNMotRem5Km9WgwBs9l+bK07sbDKH8\nYDAYFdFubP9cLhe33/4vnnvurugxOvroExg8eAy33HIxAJ988g5z595CVlZ/vF4PO3duBSRk2URO\nTl9effUHhg4dx403nsWDD17FU0/dwl/+cjV9+w4mEPATCgVRlAibNq1k7dqlXHttPItxwYLbsVpd\n/PnP8SW0L798hWOP/Vvca4qisHLlIk49dQahkO4MU1lZzMaNK5kyZUrHHMBOhnH9GjqthuSlIeMX\nO1NrtCR6egBtbUl2bwmYe9YSvJWIvSC6I2C25PsMAXhVVTtU/7W1qNur7OyA1FwZN7YEpqpq1Nh5\nT+sltaUXe+GFF/Lcc/P45psPmDTpdADuuedpzjtvApdcchxFRduYOnUWU6fO4tZbZ3LddWfy7LNf\nk5Wlj/pYLFbuvXc+3377CQ888HdAIhwuRVVD2O0paJoeAO699zKGDJnIgAH7EQ6Ho2SuTz55gSlT\n/hmn4PPjjx/i9VYxfvxRfPvt23g8umRffv4PCCGRk5ODyaQHni++eImzzz6r01WwOguxfU1N06Jy\ng8b+1O2FQvsIRd2NvSnD3KsDZix6WsCs67/ZXuJKW/cvNlBC68uvHQWjjGuUIQ1pLk3TovqsHo8n\nTty8u42e24P2qBHJssxjjz3CX/96JocccgxJSak15LAkCgu3MnPmHUyZopc777zzCa688kxmzpzM\nc899S1par+jnLFr0LjZbEmecMYsPP3yWzz5bQGZmLsOHH4LdnsCuXVt47LGXiEQC+P1eysuL+OCD\npwgGfRQVrWbWrKOoqCjG43ETCvkAjVtuOQ2z2Y7ZbEOSZHy+MmTZwq23no6mhTGb7UgSfP/9oo49\noN2AuopEsddic71QI3h21/3W2rGSvSVg7tVjJZqmRRX5O3vsoi4MB5G0tLR6v2uJqXNr0RZloaYE\nCLoLRq/SkDKMfRA1pIpT1+i5p+xHU4gd0m+PGtHs2dewZUsx++13GE8+eTN9+gwgMTGLrVt/47XX\nlkVndVVV4Yor/kJFxXbmzv2crKy+vPPO08yf/wAPPfQZI0YcBMDmzev5+OPXyM//np0716B3dFRA\noJODZEBgsSSTmdmfzMx+5OYOIjExgbffvpc5c35m4MA8JEkiFAqxbt1Sbr75L7z66kbS0jLw+728\n/PIDrFv3BcuXL+uAI9k9iF3stIZ41pQ6EXRtFhoMBpFluUXz3JMnT2bx4sW7xb3VXuzVAdN4+IIe\nMO12e5cN/BsBMzU1NfpANNRoOkMAvjUBs6dklXVhZJUADoej2YVErCqOEUSBDrXY6kh0tMat1+tl\n+PARVFZWcsYZl3PJJTcQiYSZOvUIcnNzefTRD6LvVVWFf/zjXLZu/Y3zzruKl19+hMsvf4DTTqtP\nvHnqqRv4/PN3eOedLXHb+N57T/DCC3fz7rs7YkZJBNdeOxm3O8iTT35RQ+ACSYIbbjgRVXXwxBOf\nRs/BzTefzFVXXcxZZ53Vrn3vLhjXqKET3Z57p7m50Njg2dH3aDAYjPZlm8PkyZP5/vvve8x91Jno\nGU/CHoDuJv1EIpE4U+eOJq60dP9iBQi6syRUd5sMWyGjV9mSrLsho+eGLLYMNm4kEuk2VSJFUfB6\nvQghombU7UViYiIPPfQgqalpnH76ZYDen3z44TfZtGkdc+bcFH2vyWRmzpy3GTXqaBYseJjs7EGc\ncsr59T6zuHgHn3zyEtOnPxy3jZqm8cor93H88VfEzV2WlxexZs3PzJhxT7TMZ7fb8Pmq2LRpFZdc\nckvUXm3DhuXs2PE7U6ZM6XZ1qLYgHA5Hr9GOEFpojpELxMkkdiShqKUl2d3xPLUH3f807CHorllM\nVVXxer34fD6cTieJiYnd4r8ZS6qBnpVV+ny+qKB7e7Jug81oDPu7XC5cLle0qhAKhaiursbj8RAI\nBAiHwy12nW8rjKzS7/dHWcIdeezPPvtsLrroQh577Prog7Rv3wHcfPNcPvvsTV5/fU70vaWlhaxe\nvZjc3JGUlu7k/PMP4Jdfvo37vFtvPYc+fUZz4onxGeDLL/8bRRFMn35b3OuPPvp30tOHsN9+o6NZ\nl8lk5qmnriY9fTBjx06IMps//fQ5LrvsEhRFabdXaFfCYDGHQqF2X6PNoSlGrkEyqjvW0lB22tHb\ntDdkl7CXk35iT3JX68ka3+XxeLDZbCQnJ3fLRRdb9ulpvcpQKEQ4HI4+FDrj+LRE3Bw6p4xrZLnG\nXGVnHfvbbruN44+fzJtvPsG55/4fAIcddgx///u9PPnkDdjtTo466i9Mn34C2dl5zJ37MT6flwce\nuJbbbjuXXr16c/bZs6iurmTnzm289NLquM8Ph4O8887jnH32bXFZZ0VFEb/++g3XXvsKNpstOsPp\n93tZuvQLrrnmxbj3LlnyKc8/vwqXyxXnFRoKhdrkFdoVMM6hMfvb1dvTEnUioxXRnLhCLFqaYRqV\nqL0Fe3UPE2o9MTvTbqsuYk2djRVpZ8MgysRKWHX1qEhLERtI2tsHai+MYxTbC9U0Le7BbczbteYz\njcWA3W7HYrF0+rEvKipiwoSJTJt2B4cddlz09ffee5nnn7+9ZgZzOE8//Wlcubu4eBdPPnkny5d/\njqqGSUhI4YgjpnDggUew336HkJXVj3vvvYhVq5by5pvro6MkmqZx441T2LWriAULlsWNmDzwwCX8\n+uuPvPnm2uhr8+bdTEaGwsMPP9Tg9seKZRjnwmBIdwcrOpZ81pXch7agLb1Qn8+H3W5vtvXhdruZ\nNm0an332WedsfA/DXp1h1kVnrx1i9V8dDkeXZnSxJdmeSurpjkDSHOpKo4G+ncaDOxQKRYN73QDa\n0LbHEpc6M6usi+zsbN56601OPfV0UlLSGT58DAAjRoxGlq2oaoisrPR625yVlcvttz/FBReMxWLJ\nYNCg/Vm+fAlff/0ekYg+KqJ3diROPjkdMB7QxkNZcNJJyYBxPGSE0LDbE5g5cwL9+g1j+PBD+fzz\nl/n116WNbn9D5yGWFW2I7Nf1Cu2MLNSQJzT6zT3l/mkMjWWhsXyFulmo8Z7msDeNlMC+gBlFZ/cw\nY02dDf3X7iCZ9NSs0hil6OzyZEdAkiQsFkuzZdy65cNIJEIoFOrUEnNTGDt2LPPmPcell17O7bfP\nZ926NTzzzK0cfPDRnHfeNdxwwzmcd96B3HnnqwwbNir6d3feeRE+X4jXXvsMpzPeXefCCw8kMbEP\ns2Y9SCQSQlEEFouVhx66CKs1g3vvfR2Q0TSFQMDHww9fTkFBASeddBk7dmxk8+b1LF78IYcfPp7e\nvXu3an+aKqcbQRQ61inHkG60WCy7taJU3SAaG0CNqlvs2F1jjNx9AXMvgxEoOytgGqvRcDgcVerp\nrpvMuAF6kqJIT8wqW4tYUQWbzYYQgude2UFJWYhRIxIYNdJBsks/3haLpVuP/fHHH8/cuU9y8cXn\nEggEmDr1aqZOvRqAN95Yxm23TWfWrJMYO/ZIrrlmDp98soClSxfy0EP/qxcsX3zxLioqynj88e9w\nuZIJhcKYzWZ++OF9iou3M2/eh3FCCDt2bOT335dz223vMH78nwAoLS3gqquO4KWXXmz3vtUVtzCC\ngFENqOuU05rZ3NjrdHcyIG8pjOdfKBRCkqSoSXdTWagsy1RXV3eYU8nugL0+YBro6IBp9Dj8fj9W\nq5Xk5OR6N2ZXMXONBwcQFSfvTGutliJ2QL+nZ5WtgSRJ/OWELFaurmbZykrmv1HIgL4O/jQxjQnj\nzGhabRm3O0gskyefxN1338Udd9xJ794Doq/bbA7uv/8lli//if/851rOPfdA9JLqFYwYMSbuMzZv\nzuettx5n+vTHcToTozqwkUiIxx77B8cdN42cnP5xf3P33ecxYMAh0WAJut3XtGmXxVk5dRSMLCq2\nvxjLBm+I1NVQFmpoFUuStEddp7EwMue6YiANZaGxZKIPPviAnTt3duemdyn2etJP7OozEAh0SHkh\n1tTZ6XQ2uho1SrSdpZnZUK8y9oFh/Df2wd1U/60jt6sjB/R7ImJtuMwWO8vzvXy5qIz8tR7+dEQ6\np52YRVampUuNtqu9Ck/O30ZmupXLpvYlPz+fs846hwMOmMhll91WY+el48sv3+KRR64lJWUgbvdW\nzGYzffsOZcSIQxgxYjxz5sxm8ODDufPOF5FlEzabFZC4/vqT2Lp1K2+8sSaO6PPxx88xd+4NzJ+/\nkqwsvfSan/8D//nPZaxataLdRuptRXOkLmPhaxB7drfqR3OIzZxbo0rk8/m4+uqrSU1N5YEHHsDh\ncHTylvYM7AuYMQ8sn89HcnJymz8rltTTElNnY9XaGRdbS2Xt6rIPjQd3Z6nhxGaVdrt9j1it/1Es\nYbMIslNAkuLNnevO5JWWh/noixI+/bqUQ0Ync/5fc8nNrhXljj0Pddm47akG/LiskjnztnHE+FQu\nObcPdptOnqmurubqq2fz7cLFnHz6rfz15BN57bVHefXVRzn77Bv5299mEYlE+Pbbj/n++0/ZvHkV\nFRVb0eXwZEwmCxaLDYvFiqpG8Ps9ZGT0Ji2tFwkJSaSkZJKUlMaHHz7PCSdczqxZ9wH6KMqsWUfw\n73/fzimnnNKew9/hMMq4xjgLEF1U9kSFqLYilrzUmvnfDRs2MHPmTGbNmsXZZ5+92x+H1mBfwIyh\nqXs8HlJSUtr8Oa3Vf+2MUZb2knrq9n2MB3d76ft7clb503qJ/K0yviAM6BVhaHaIvL5WLJbGrwGf\nX+G9T4v57/9KOHJ8Khec0ZvUlPhj0lw1oCVl3LKKMHNf3M6W7X6uvmIgBw6P7zcJAb9tlXj+9e9Y\n+Oa1VJYXUVlZxowZjzD5pKmoGjhqKpqapjF79sls2fI7Tz65ECE0CgsLKCsrZM2aH/nmm1fIy5tE\ndnYufr8Hr7eS6upydu7MB0yAWlPWTCEhwcW4caN4/fVXe9wDN3a20ljM1tUpjr0n2jJa1N1orATb\nFIQQvPfee8ydO5d58+YxfPjwLtjSnoW9PmDGBoWqqipSU1Nb9feGyodR0mhN2cYo2SUkJLRl0+tt\nR2cJEDQlat6SPqhR7jabze0SE+/JiEQilFSE2FZmZ0OhFW9AYvRgjTGDBc4mxmyrPQqvvb+Lr74r\n569/zuL0P2djszZ8LBurBjRUxo0oGh98Vsyb/y3i5OMyOe+0XKx1PjeiwGe/yhRVSpx2mEq6S+Op\np57i/ff/y9q16xh50AmMG3sMB48+FJcrlVmzjqeocBePPfYVAwYORRdchzVrfuL660/lyCPP57rr\nHo77jtmzT2LLlvW8/PIKEhIS2bRpHQsW3MfGjT/yyy9Lyc3NbftB72AIUVsdaI6AVreM21OFFeoi\ndn60NQvXcDjMLbfcQnV1NU899VS3ldC7G/sCZs0F35AYenMwSD1ms7lNkmbG7Fh7A2ZXj4q0NPMB\nfVGgKMoelVXucoMsQYoTbGZd9EJVVRwOR7QHVOKGZRtlNuyUGDtYcNh+GtYmdn9nUZB5rxaw8Q8f\nF53dh2MmpCHLLVNaiV3IKIrC0pV+Xn2vlN7ZNqb/rR/9etevYLi98M4PJnqlCE4cq2GpaV0JAdsr\n4PfNBaxd+hGLF37LkiVLcLsr0TSVQw6awIBhB5OcnElSUjrbN63i7f8+zciRx3DjjU+SlJSOxWJF\n0zSuv/5k1q9fxRNPLKR//yEArFmzhHvuOZ+PPvovo0ePbv3B7yQYC1+Dd9Bah6CmFjM9xW7O2MfW\nlmALCgqYNm0a5557Lpdffvke0UZpK/YFzJiLu6KiokUBs6NMnUOhEJFIpM2rtZ4iQNDQw8K4rIxe\nZXc/LDoSlT5wB8DtE5gkjVSnRnaKGYu5/v65fbAoX2Z7qcQJYzSG9W76dvttnYfnXtmBogguPDOX\nQ8ektChwqprgp2VuXntvFwLBhWdkceAIZ4OLmZ0VJt7/ycThwzUOHiIwTouqweYSvTs5OBPMpprS\nnbuc4pU/UOCNsKM6RHFxMcXFJZRu2Uz+il/ZUFLGkCF5uN2VuN0VJCS4UCIKPr+Ho4/+KwcfPIkh\nQ0ZRUlLAI4/M4MUX5zNp0qS2HPpOQWfNVjZUmWmpwEVHwygzm83mFu+jEIKvv/6ae+65hyeeeIJx\n48Z1+nb2dOz1ATN2OLeysrLB8Q8DBqPMMHVub3mxIbm6lqKnChBomkYwGERRFKxWa7QfGktg6Qmr\n7dZAaCpIteU1ox8bDkfQTE4qA2bcfshIhNwUPdDUxbYS+GSZiUHZgkkHaQ2+J/p9QvDDUjevvreL\nSETjz5N6ccT4VDLSrPXet3VHgB+XuflyURkul5lzTs3h8INT4rY1djGzoUDi2zUJTB4dYFC2iJ4L\nTUhsLAarCQZkgoS+j4qvGkf5FuSsQcgpWdHvVlf9gLL0ayynXIrcq1ZwIFReyfdnXcmuNAeWv05i\n27Zt5OevYcWKFQQCAV55ZQGHH354O85Gx6GrZyvrCisYhKLOZEa3tQSrqir33Xcfa9asYf78+Q36\n9u6N2BcwYwKm2+3G5XI1WI4xVqFAq+jXTaEtoyw9Jausi9j+T0Mr9bpEotb2QbsTWtFmRHUZkisN\nLSENvzBjtljiFkxhRS/VVvqgXzqkN1A0CEXg46UygbDEGRNU7M3Ijwoh+G2thy8WlvHzcjeJCWay\nM23YbDJen8KOXUEcdhPjxybzpwnp5A1JaPJhm79V4pvfZM6coJCZpMScD5Vd3gQsZuifpmecwWAQ\nWYtgL/4dKWswcnJm9HPUdb+i/PAZ1jNnICWnR19XPD5W/PkyUiYezJC7r0aqcz5bKujdFTBmK4EO\nd4hpKRoj2HXUfWFoZKuq2qoyc2lpKdOnT+eoo47iuuuu67H3ZXdgX8CMCZhVVVVRv0QDxkXXGabO\nrR1laemoSFcjduYwto/XFBpabRt6oT2NNCGEQIT8RCqLkb1lSICc2Q8pOave9vlCsKUUXHbonw51\nN18I+Hy5TLFb4tyjVKwtXHdpmqBgV5DS8jChsEZigonsXjZ6ZbRMuH/dDokvV8icd7RKRp312bYy\nQSAi6J8SRlF0Ky0JcJRuRLgyMGX0jZ4LraKYyFtPYjljBnJGTtznrL3sJmSnnbzHbu0R560xGAvV\n1jBEuwp1+QFtNT2vy/Rt6T4uWbKE66+/nvvvv59jjjmm3fuzp2GvD5hGyQL0mbTYsoWh/9pWUk9z\naGnA3B2yyvY+fFrDAO1saCU7QVORsvogSXLc7KjNZkMOetBKtoLQkHvnIdniSVuqBpuKwWKCgZkN\nB82PlspoAk4d3/k+j7vK4a3vTZx7lEpWnampKj9sLYfhORqRkD7mZLfbkSp3InxuwplDUGuuPbPZ\njOnTBciDRmAZc2TcufCu3cSq02cyfsWHmBydI8TRXsSONnVUlaizESusEDvS0tR8bjgcjjJ9W+qi\nomkaTz/9NJ9//jkvvfRSj2Iv9yT0/CumC2FI1RnlGkVRoqMinfl9TWF3yCpbOnfaFBpzozAeEoaZ\nc3tstVoKUbYLddm3iHAQkTeGcN5Y7KnptddBQgrygFEIdxHa1t+Q++yHlFA7jmSSYUgWbCiEkmrI\nqrMekiQ4cazG/C9N/L5TapYI1B6EIvDBzyZOHKvVC5ZCwLZy6JOiEIyZyUNoaBW7MA0YhdOmM2w1\nTUMpK0KrKCZ8wnkEqqvjpOTKPltEr9OO7/RgGS6vxJreutEv6Drv0Y5G7H1hXH913XJiR1qMhXVr\nFgTV1dVcddVVDBo0iE8//XSPYbN3Bvb6gFn3gRsOh/H5fF1i6txUwKxL6ukpN3jdrNLpdHbaMZJl\nuZ4OaHO2Wh1xnEwjxkHeGAIFWzGtW4btvacwjT8ecdDEOI1NKTUHYXWgFaxD7n8gkr020zTJMKgX\nrN2l9zPrknwsZvjTKI3v18gM663SWfhxnUyfDEFen/rXWaVPIEsaVgI4Yh6wwlMB9kQkW+04iizL\nmIq2IQ3cD3tScn2HFq8PYZKiZcCOVsNRA0F2PPEyBc+8waFL38WSVhv9hdDiZPjqwsi4usslpqPR\nkFtOrC4uEK2MNTfSsmbNGq666ipuvPFG/vKXv+z2x6azsdcHTAOxZUCXy9Ul5ZqGAmZnChC0F7FE\niY7IKluLltpqxTJxm3toa6EwwZ1FOAf1i35m1D0lpy+WfoMQ7jKUz15FK92F+bgz4x7OUkIKUmZ/\ntKJNmAaMivtsuwWSHVDhg14N8LoGZws+WQZVPkhuv3ZFPUQUWLFF4tLj6gdkRVEorRak2HVPxziC\nVsCD5KzfJhChIFKN3mxdh5bs4yaybua/GDD7MlQb0YpAexWi1ECQotc+Ytt/5pM0ZiQHf/NyfLB0\nlxH54k3Mh05C7p9X+3rNfWWQXrrjeu0qGNd+7IKgMa9Qt9vNwoULOfTQQ1m2bBkvv/wyr776KoMH\nD+7u3dgt0HOext0Eg9RTXVNistlsXd7bMG7u2H4F9KxeZSgUwuv1YrFYeszDx3ho22w2EhIScLlc\nUdKWwWr2eDz4fD5CoVDcfKiBwJYdrJh8KUsnnM2u1z7E6/GgKAqJiYnRh4+cmonlzBmI8iLUld/X\n347UHAgHESFfvd8lOcAbanj7ZRkykgSV3s5Z1ReUSWQmxQdjo4/n9/uJaGZSXQ1kXJoKDZxfKS1T\n7+82gJTDx5AyYSzrz5+NqcqLy+XC5XJFR4uCwSDV1dV4PJ6o3Z3Rk68LIQTVK9aw8caH+Gn/kyj/\n4ntGvng/+7/8EPZ+em9NREIoP31O+PXHkQePROo7tPbvq0vRtv2G1+MBdKPunnC9djRiCYkJCQlx\nHALDJ9ThcJCYmEhSUhIOhwOPx8Onn37K5MmTmTVrFikpKbzzzjssXrw4zjx6HxrGvgyzBklJSVHj\n1K6CMT/ZU0k9oGfegUAA6J6ssjVoqN/TXB/Uud8g8Oln+QAAIABJREFUDlv3P0q/+oGt/34ayxuf\ncOCr/6lvxWaxYT7+HCJvP4XpwAlIMcdBkiQkZ7KemdUhAJllnQTUGBRVwmTqHOJPlR9SE2uvZ+Nc\nGjZVVDcSqC12CPnrvSz3z0P5+l20nVuQew+q9/u8x25h24PPs3T8mWSdeSJZZ0zGNXYklho91sYq\nAiZZRtlZjO/XNVQvWUXF1z8hWy30Ov0Exnz5YjT7BxCRMOrqJajLvkHuPRDr1KuRklJrfhfSR4CC\nXoIpfbHVkF4UDbaX6cpMaZ2QyXcH6lqONZe5G4tLu91OeXl5lAX7008/8dNPP3HLLbfwzTffdNHW\n777Y61myoJc0jIH7jpCqaw0qKyujSj89SYAgduB5T+n9QMPzoFBT7jWZ+GP2faBqjHjungb/PvzS\n/ZhPugA5M55FqO3aAI4k5NT4UYviKghEYEBG/c8KRWDORyaumqJi6wSexZrtEhsKdJ3Yhsp2m4oh\nJUEXXIiFCAXQtq5EHjIOyRS/pla3rEX56m0sp14WJ1gQt1+7Sti14H3KPv6GwJYdOIYOwNE/F0tq\nCrLdilA1VH+ASHklwR1FBP7YgTkliYTRI0g4eH9SjjqExBFD4uzmRFU56m8/o65Zipw7ANOhxyFn\n9dG3V1MR5QWIip0oiZlEkrJwJujEnio/bC2DZCf0TdN7ywCqCt+tkRmaq9GngXPTk2GMxbTmvhRC\n8Mknn/DII4/w7LPPcsABB3TBlu552JdhxqCrDJ2htvwqyzIejyeu79bdKjixWeXuxChsCYw+qEFK\nMebxJElCVVVybr+S3w7+K9U7i7BlpNYnr5itoCr1PleE/MjJWfVedwcgsxHlwxVbJAZli04JlgC9\n0wVfLJfxeP1I1Gczpzih3Fs/YEo2B5IrDVG8GXKGxV2LpkEj4JjTiLz3DKYxR2EafQSSJZ5Fbsvt\nxcAbrmDgDVegVHnwb9pGYNtOlMpqtFAYySQjO+xYM9OwZWfiGNIfs0tfpMaKmocqywj9sRbTH2uR\nKkuQ8kZjPuvvyKmZ+r2qqYjKQj1YOpIIZA7F7EgkwW4nokrsKNPnYgdk6AHTQFk1fLjERKJdcMiw\n+sctHNYoLQ/TO6dnjce0dSwmEolw5513UlBQwOeff94hnr97K/YFzBh0VcCMHRVJTEyMa9DXLRt2\npYxcLOFlT8oq6yLWB7Buf8vpdGLLykArd6Om1pbpTSYTJk1BqiyB1My4zxPhAIQD4Ih/EPlDEAjr\ngakuqv3w83qZ84/pvL5RgjVChkuwbqeNQ/LqX0NpibXqRKl1iipS9hC0raugeDNkDY4PmkMPRM7s\njbL4I8Lz/41pxDjkYaOQevWu9x3mZBdJY/cnaez+zW6vCPoRhduQCrYg79iIxV2mE3lGH4HWdyiK\ngJCqIlWWY/WXY/KWgzMZJWsoYUnv18kmC4VuKK6GTJceLI2sUtNg2UaJH9fJHHWAxuhBtTq6BgqL\ng9z9yGZG7pfIzIv6t/xgdzLqlmBbuogtKipi2rRpTJkyhQcffHCPWvx2B/aVZKn1xGyLVF1r0NJe\nZXfIyMXOqTkcjj3yxmqJ0EK4pJyfx57KhI1fYbLrKjrRBc2vi6BoG+Fjzog/F8WbkKwO5F4DYr4L\n1hfqIyV1GbKKCq8uNDEkV2PC8I6//WIzEU84gbd/sHLRJJWUBjoNnqAuspCXTT0bMqEqaAVrdYGG\nnGFxYyYGtPJitLVL0TatRoSCyDn9kDJykVIykBKTwO4Eiw1JlvXFqBLRCVJ+L/iqEVUViMpStLJC\nCPqRsvsi9x6I3HcoUs6AaK9YaCrCU45wF0PAg+bKIJKYQQT995Jsojpso9RrxmWHPmkS9pjMvcQN\nn/5iwmyCP49TSW0g61+6ws1Dc//gvNNyOWVyrx6zWGyLMpEQgsWLF3Pbbbfx6KOP9hj93t0d+wIm\nxAWn1kjVtQbtESBozE6rI+YP48YomvEA3J0RK7TQlK7muhm3YU52MfS+a+NeF9UVhF97FMuZM5HS\nsmq1P6vLsFQWEMzeD7PVFj0fhVUSnqBEXna80o+mwQc/6+fqtMO0ehlOexEriWa325FlmWW/S6zY\nomezDXlzVvhgW5k+N5rsiP+dEAJRsQtRtg0pMR0pvTeSveEas/C40Yq2I8oKEVXlCG8VhIJ6gDRm\nJU1msNmRHImQ4EJKSkdKSdd7wslpcSM7IhJC+CoRnnLwucGRhJTSC8mVgaLq59NktuEOWijxSDgt\nGunOEBYpEr0/FM3Ez79bWb3NxNEHaBzUQFYphODdT4p55+Mibr16MCPzWm+G0BmIvTdbU4JVVZVH\nHnmEJUuW8OKLL5KZmdn8H+1Di7AvYEKcbqPH4yElJaX5P2ohOsNVpDHXg9bMHwJRybc9OauE2hV6\nc/ZNBU+/zs55bzP2m5ejPTXQSTCRt55EHjkO85ijal8PetG25SP1HYlmdUbPR6VfotRvZ1BaELu1\ndkEjhMTHy2S8QThrYtOOJaDrx27Z5mfTH3527AoSDGnYbTJ9cuyMyEukX+/afYkladVd+AgB3/4m\ns6VI4uwjVVyO+t9VHdA1cNNrHFdMdS4FoUb0wFlZBCYzUlKGrm7kSGxSNKClEEKDkB8R8EKgGuGv\nAjWClJACielIrjQkk6VmlCKIJyjwRuxUBWVSnZCdDA6r8VmCiKKSv1Xi+7UW+mZEOHyYH5dTrscT\nUDXBU/O3seZ3L3deN7TF2rydjbaKw1dUVDBz5kzGjh3LLbfc0qNZ7bsj9gVMakULNE2jqqqK1NTW\nS2/VRaz4QGcLEDSnw1qXuBJbstuTs8pYt4amROGFprH1vmcoeuNjDvroORz9axmwIuAj8sHzyNn9\nMB19au0xDPrQtucjZw9GSqpdwZd7YUeFYEimhtVUu6AJRzS+zE9C0yROO0zBbmu8L11UEuLTr0v5\nenE5NqvM8KEJ9O1tx2E3EQhq7NgZYNVaD1aLzOQ/ZTD5mHRkSddDbuzhKgT8tF7i100yp4xX6ddA\n0hFRYUc5VAchJ0UnA9ULnEKAvwrhrUB4K/Xerc2pj9NY7WC2IZkteiYpmWLSa6HPd2oqQomAEgYl\njAgH9c+IBPXSrcMFDheSIxnsCXFB3xtUKa1SqA5bMMkSmS6J9ERdszd2PzcVSizKl7FaYNIolZy0\nhl1BQObxeYVUe1Rumz0EV2LPkIQzZohbq8+8fPlyZs+ezZ133snxxx+/R97T3Y19AZPagCmEoLKy\nskUm0k2hu70qY22DYgWbDYq+oihRF4O9PasM/FHA+v+7E6GojHzxfmxZtTMGWnkRyocvIA85ENPE\nk2of3j43WsE6pOzByMm9ou8vqdZJNMOywRlDHPUG4O0fZFITNCYdGAChNtiX3rojyOvvF7JidTWT\njkhn8jEZDOjXAGMI/Ryv2+jjv/8rYtnKKv48KYOzT+lNYkLTZbtNuyQ++UVm//6CI0ZqDbql+EL6\nfniDOjEoPQESbPVF5EHvcxLyIUIBiAQgEkaoYX1uQ1PR7agBJJBNIJv0URWzVQ+QFrseaK3OenZg\nERU8AagKCKr8ABopTshwySTYpHql7t936YQeVYOj9tcYmlu//Fr7fo0HntyCuyrC9Vf2QZa0ekbb\nXe2W01bvSk3TeOGFF3j//fd56aWX6Nu3bydv6d6LfQGTeFm8ioqKNgfMni5AYBg7G2zgrhAy72q0\nlHofqaxmx5wF7HrhXfrN+ht9r7qglmAiBFr+zyg/fob5yCm6tmzN66KyEFG6Dbn3fkiJNQPzAnZU\ngNuvB8tYssnOcnj/JxOjBmpMHFH7AI/tSxeXBnn5nSJ+W+vn1MkZnDQpkySXrcnFVmz2XOWRef2D\nYn5ZWcXUv+by50m9MJkaP5e+IHy1UmZ7qcSR+2vs31/UyyQBghE9Y67w6eILSQ7dtizBBg5LwwG0\nLRBCD46BCPjDOrvYFwJFg0SbwG4K4zRHSHE5MNepY/tDus/nr5tkEuwwPk9jWO/GA6WBN/9byA9L\nK3ngtjzsNlO3u+XEMrdbU4L1er384x//oFevXjzwwAOdZhSxDzr2BUziPTErKytJTk5uEzGnO7PK\npmCUeAylD7mGsbi7Gjo3htj9bMwD0L95OzvnvU3Rax+RefIxDLjhCux9sqO/18qLUL55DyJhzCec\ni5yuz1YKJYJW+DtEgsh9RiBZ9UZgWNF7f5IEgzNrRdaFgOWbJRavkTnpYK1BR5JwROPdj4t495Ni\nTjo2gzOnZGG1iLgHdkM+iMZ+1s2et2zz88yCHZRXhrniwn6MO6hp8lpBGSxaLeP2SYwbqnHAABHt\nA9ZFMKL3OT1BPaiFFLCbwWYBq1kvi5plvYRrkkGCmv/Rj4UQetBVNT0QRlT92IUV/bNkSe9BOqx6\ndp5oA7OkEAjU38+wApsLJdZul9haIjE0VzB2iEbv9Ia3vS6qPQoXzfqNpx8Y2WTPsm4A7Uhz51g0\ndj6bw/r16/n73//O1VdfzZlnntmjnjl7KvYFTOIDptvtxuVytbhZ3pW9ytYiNttqrsTTmUzczkZz\n+xnYtovyz7+j5N3P8W/eTs7Uv9D7srOw961V5REeN8qSr9A2/Yb50OOQR02IjkKI6lJE8Rak5F5I\nmQOipcNKn+4l2culE2WM51UwDJ/+IlPhlTj9MJW0BkiX+es8PPrcVnKzbMy8qB85WfFD8o2V1Y3q\ngM1ma7C/JYRgyfIqnnl5Ozm9bFw2tS+D+jdc1jWwsxyW/S6zuUhiYJZgeF/RrKCCqulKRaGagKeo\nEKkJiJpWEyRr3itL+rExyWCS9EWFpebHZgarRQ+2sftgsEP13rOF0irYVirxR5HE9lKJ3HTBiL6C\n/foI7K1Mqlaurmbe6wXMuWdEq/6usXukrWXctpZghRC88847PPvss8yfP5+8vLzm/6iNKCgoYMaM\nGfz4449YrVbOOOMMHn300b2WTLQvYBJvIl1VVRUV8G7J3/VEr0poeQ+vMcSWqNrDxO1oeFatx5aT\niSUzLZptRc2drVaUskoCfxTgXf073lXrcf/wK0q1l/TjJpB5yiTSjj0c2Vr7YNIqilGXf4f2+ypM\nBxyKadyxUUcOEfSiFW0GVUHOGYrk1AcqFRW2V+g9voGZepnSwLYS+GipiaG5gmNH1WfC+vwq817b\nwc+/upl5UX8mHJLSomNojIsAUd/DpqoCEUXjk69Kef29XYw5MJnz/5rbrHJNIATrd+pyegVlEr1S\noG+GoHe6IDtV4HJ0XBm2MYQiGoWlQSq8JqqCdooqJQorJRxW6JcpGJglGJjdeCbcElR7FWbdspaR\neS5O/FMGQwclYLW0/v5tqozbnEOLEAK/3x/1k23p8yMUCnHTTTcRCAR46qmncDqbXgy1F6effjrJ\nyck888wzVFZWctxxx3H55Zdz1VVXder39lTsC5jEB8zq6uoWZWM9tfxqaOIa5tcd5bwS66RiBFFo\nnInbWVhzyQ1UfPMzWiCIOS0ZyaozfDVfgIi7GnNSIo4BfUgYOQTXqOEkjz+IhOGD4wglIhJG27wa\ndc0yRNkuTAcchumgiUhOfb5QhAKIsm0IbyVSZn+k1JyazK6GBVupi3j3Sa1lkUYU+G61zJrtEieN\n0xiSU/+2Wrm6moef/oPRByQx7fy+zRJ0oGlN35ZkPIGg4L//K+GDz4oZfUASZ0zJZtig5rWSIwoU\nlOuBc1c5FLklFBXSXJCSIEhygsshcNrAbgW7RWAx69mjSdazSn0ba0uxEQXCikQooisgBcLgC0p4\nA1AdkKjyCfwhiWSnIDMZeqUIslIgN02Q2MAoTHtQVR3h469K+X5JJQW7gmSmW+mVaSU9xYLLZcaV\nYMbhkHHaTdjtMnabCZtVxmaTsVll7Db933abjMNuivaMY+8RY/SrbgA1gqXRImnpPbNjxw6mTZvG\n1KlTufzyy7vkuZOXl8djjz3G5MmTAbjuuuuorq7m6aef7vTv7onYFzCJD5gejyf6YGrsvXtqVtla\nNNTjaa//YUugqiqe8go0twerJOtBIsGBJTUZ2dbIeQv60bb/jrZpNdrWdUjZ/TGNOBh5yIFIhnFy\nwKvrkvoqkdJykdJ6R8XHvUE9q0RA/wyd+GJgRxl8ssxEVorghDFaPXGAcFhj/usFfPdzBf+YNoBD\nRrdszrelYgvRfWwi4wlHJL5YVMlHX5SRlmLhhGMyOHJ8Gq7Eli+o/CGo9EKlV6Larwc7X0gvQYci\nEuGa0qxaU5IFPSOVa8qwZhPYLAKbWQ+yDhsk2AQJdoHNFMZpDdMr1Y61IepuJyIU1igqCVFcGsJd\npVDlieD1qfgDKsGgRjCkEQyphMIaoZD+/0MhjWBY038fVLFYZRKcJhKdJlyJZpKTzKSnWEhNsZCe\naiYjzUSvDDPJrlpXnVhN46buEyEEX375Jffeey9z585lzJgxXXZs/u///g+3280zzzxDRUUFkydP\n5u677+aUU07psm3oSdgXMGsQCummhYbno80W/9TbHbLK5uYNu2I7Glpdt5WJKzQtPjNsoSqREBpU\nVaKVFCCKtqEVbEFUliD3HoQ8aCTykP2RnK6a71ARnjJEZSGEQ3qgTM2JBspAGHZW6qzN3qn6YH9s\nr3JhvszvOyWOH6OxX5/6t9K2ggD3Pr6Z3tl2Zk0bQFILA1Rb5NDqH4f684cRRSV/XYCFP1azYrWX\nEcMSGX9wKmP2T6J3Ttu+pz3YEyQZhRAEghr+gIrXq1DtU3FXRXBXRaiojFBSHqaoJMTOwiCBoMqA\nvg4GD3Bw6JhERg5zNLnQVBSF++67j/Xr1zNv3rwOmRFvDSoqKpg0aRL5+fmoqspFF13E/Pnzu3Qb\nehL2BcwaGCLbPp8vKisGPZ/UY2ijdlVW2Rq0l4kb+eJNxM4tSGlZiKRUFKsDbA6szpqBdiEgEtJn\nAH1ehK8K4S5DuMvA5kDO6ouUpWuTStn9azNJoYGvSifzVJeBw4Wcmg2u9KhqjS8EhVX6HGB2CmS5\ndMNn/e9166xvVskMzRUcfaDWYE/ti0VlPPfyDi45tw+T/5TRYg3QtjhStBSxbiDVnhC//uZh5Wo/\n+et9KCrsNySBoYMSGNjXSZ9cOzlZNmzWzrnmw+FwPcuxPRGxcoWKamFrQZCNW3xkZ9qYcEhqvYXm\n6tWrmT17NmPGjOG3337jhBNO4M477+zyZ48QgkMOOYTTTz+da665Bo/HwyWXXEJeXh73339/l25L\nT8G+gFkDI2AajgAOh6PHZ5VGua47s8rWoLmeW10mrtA0REUJkZKdKBUlmCNB5EhYt9cSQo9gFiuS\n1Q5OF1JiMlJyGlJqLyRbHdZpjS4p3kpdocbq0OXdknshWWw126fPUhZX6wzQrGTd8SJ2RrGwAr5c\naUJR4YQxaoOjDOGIxlMvbCd/vYdb/zG4UfGBuoh9sDY2FtPRMM5JJBKhqCTIhk0+/tgRoqAwQmFx\nmOKyMK4EM5npVtJSLaQkmUlyWXAlmnAlmElw6j0+h92Ewx7b4zNhs8lYLfXvm9gZ0paUmrsamqYz\nfyOKPv6iqqDVjMZIMYxfiwksNaM1Dc2xQu2iwF5jZt0SBINB3nrrLT744AM8Hg8bNmzA5XIxYcIE\n5syZ02VZZmlpKVlZWVRVVeFy6RWZDz74gFtvvZX8/Pwu2Yaehp7/lO1iSJIUXfH1RAGCuo4bTqez\nRwXypmC4vpujmV5tzy0SiRDyViFkc1TEXJZlgrYEpH55OPIOavmojxJB+NyIoBcCXkSgGjQFnClI\nianIWYOiQRL0smu5F8q8+phDryTd7kqOOawVHt1weHuJPux/4ABBQ5dFpTvCHQ9vIi3Fwpx7RuB0\nNL/NdUvNXTl8HntOBvZ3MKBfSlwfNByOUFml4K7WqKoWeHwaHq9GpTvCjl1B/H6VQFDFH9D7fMGQ\nRjim16eoAptVxlETVJ1OGadDItllpleGg+xefgb0dZA3JAG7rfMDp6LqfdgKj0SlD6p8Eh4/eIMS\n/pDep42o+mypMV8qy/qPcTloQg+qEVUPqqGI3p9NsEOiHZKcgpQEgcseJsWp0DszAau1ZfumaRrP\nP/88X331FQsWLCA7OxshBBs2bODHH3/sUi/LjIwMcnJymDt3LrNnz8bj8fDSSy8xatSoLtuGnoZ9\nGWYNIpFItBdo+EHKstyjgmVrSSC7G9Sd66G6DGG2opqsaCYrwmRGNluRzRZkkwlZNpQBNF16TY2A\nGkFEwqCEdF1SIcCWgGRPALtL71danTHsUl1Vxu3XZykjqi7/luGiXmm10gs/rtP7lOOGaRwyVGBt\nhEC9Y1eAm/79O8cdmcH5Z+Qiy80vZNoqst2VaGyAvyW9aVUThEIagaBKVVUQd1WAsGLG54fyyjC7\nikL8sd3PtoIAE8alctnUvqSmdIymq6ZBsRud6VshUeyWcPt0M+k0lyAlAZJrGL+Jdp3x67TpGWNr\n1qBC6EHTFwJvQMLt1Sh1K7j9Ziq8Ztw+GJIjOP1wrcnPqaqq4sorr2TYsGHcddddPaJqtGTJEq65\n5hpWr16N2Wzm2GOPZc6cOXutA8q+gFmDcDgcHZcIhUI9Zu4Q4kcL2kMC2R2gqgqhajdEgtgkAWoE\nTQkjVAWhqSAEkiwj1WiSSmarLvZttupZo9UBpngykBAQVnWVGk9AV6xB0o2dU536HGU9I+EKWLJB\n5o9iibFDBOOGajiaMLLYvjPAdXdt4KKzezP5mOYfJrGVgt2th9dQb9oQuWioN90S2TePV+GFNwoo\nLQ9z1/XD2rxt3gBsLJTYvEtiW6mEy6HPkuamC7JTBOlJNOsS0/A+1/67qdNkkLViz2lE0a+59CZc\nw/Lz85k1axY333wzJ5988m5zLext2Bcw0ZloN910E+PGjWPChAlRP8yG5g4bkirrTMRmIA6HY4/K\nKsu9eu/HaQWzLFCUps2doXkmriybCakSwZpZP19Il3ITQg+MLruuiWpvIIsIR2BdgcTKLTKeABw8\nVGP0oKYVbwB8foW/37CWc0/L4YQWBsue3MNrLRqymzNGJyRJIhwOY7FYmu3Lbtnm518PbuTlJ1pX\n8jPOW/5WPYsclC0YmquLHCQ0odWgabrkX7CmrBpW9IWVouryfUpN71Kr84SU0Eu0JllXKLKYwGoW\nmFAwESEl0YrDZm5RliqE4NVXX+WVV17hxRdfZNCgQa3a933oWuwLmOgB87vvvuO7777jhx9+wO/3\nM3r0aCZMmMCECRNIT9eZHXWlymIFzDs6gDY1sL6noKgKqgLgDwk0AVaTht0iYzVL0QF4k1RLtBCg\nu0QJUIVOxlA0QTgidG1SFVRNwmIS2MwCpxUSbBKJdhmrueHMIKLAlmKJ9TskNhVK9MsUHDRIMDi7\n4R5lQ3h6wXb8AZV/XjGw2fe2VTd0d4IRQEOhUFTsH5oWMhdCcNd/NjOwv4MLzujdou8pr4ZlG2XW\nbpfomyk4YIBgSI5oMIPUhL5w8gZrF1EhRe9Z2y36f21mncRTVxfXqKwbxGxRcw0qNbq44YiGNxAh\nosoomAmE9T8Y1bfpbDQQCHDNNddgs9l49NFHo8z8fei52BcwG0AwGOSXX35h0aJFfP/997jdbkaN\nGsWECRM44ogjyMzMjJKDGhrcb6+7gaqqBAIBYM/LKuvCKGHJZitCthFR9RKWotUqxAhqGIqgu0QZ\nw/AymGJ0Sa1msMgCTVPjKgOxTFxZNlNaLbG9VGZrscSOMomcNF2TdL8+TWckjWH6dau58pL+7L9f\n4zW31uj67u4wqiIG21yW5Wb7oB/8r4yvF5fz+N0jsDYzxlJUCT+sldlRJjFmsGD0IA1XA0TkkKL3\nqav8eqC0mnVSToJN/7Fb4oldDUEIoffL0Vdtde/nhkqwoiaYWpq4bTdv3syMGTOYPn06U6dO3SMX\nTnsi9gXMFiASibB8+XIWLlzI4sWLKSsrY+TIkdEAmpubG8euNR7UrVW+2ZOzSlWFxWtlctN0XdJE\nuyAYbN7cuT0IhKDcAyVuQYkbit0SJVUmXA6V3ukaA3ppDMqWcNrbVxl49b1dfLmwjDOmZHPomBQy\n0uJ7qHvCcH5L0VAAaQixfdD3Pyvhky/LufO6/uRkORoV+y+t0uUHd1ZIHJancdAgXY4vFmGl1pIs\nrOgEn2SHXoavG8CEptV4efqjJtYiEtLNrVVF/0HUpolCAJJujm0yo5ksqLIZszMJk9OlE8xMTV/H\nQgg++ugjHn/8cZ599ln233//Vhzdfehu7AuYbYCqqqxatYqFCxfy3XffUVhYSF5eHhMnTmTixIn0\n79+/0QAaW8KNDaCxWWVPZUu2B6GITqLZWa4HLkUVpCYK0hIlnaVYo0vqsILVIvSymEHpN0ph6H0n\nRa2xh4rovcpgGPwhfSzAE4Bqv0SVX/+b1ETITBJkJAuyUyErRcNmju+D1vUGbW1lQAjBytUePv6q\nhN/WeNA0QXaWjYxUK4mJEk47JLlsJCZYcDhM2K0ydruuTWq1SthtJuyGLqlD/3dLGLY9CUYGrShK\nixdAmiZ46a2dLP65kn/fNJSMNHPceQGdMxBSTPy0wc6GnTKHDdcYOzg+UAqhl/ZLqsEb0olc6Yn1\nyVz6LK4b/FWIgEcPklYHks2pk8Wsdp04ZraCyQKyOS6rFDX1WE0JE/R6kLUIVkkghQOIoBc5vTdS\nUuM97Egkwr/+9S9KSkp45plnorON+7D7YF/A7ABomsbq1atZtGgR3333Hdu3b2fw4MFMnDiRCRMm\nMHjw4DgPyrqEFdADpjGDt6dklXVhkF0URUEyOakKmKnySVQHdDq+v0aXNKxIRGrIF5qm94uMQ2KS\na+2hrGbd2slm0WfgnDZdpDvJoY8KOG0tGw/oaE1cd1WEwuIgu4q9VFUrhMIygaAgEFQJBI0ZRTWq\nSRqO6Jqkxu/DYQ27XSYxwazrkrrMpCSbSU+1kpFmJSvTSm62ndwsW7Ply65AWwQXgiGVh+dupbQ8\nzB3XDiE5Kb5ELYRAUTVWbJb4YZ2ZYTlhxg1JjrYlAAAgAElEQVQOkOCQY0ZZTJT7JIqq9Osiq2Z+\n1hAREEJA0IOoLkd4y/XM0ZmC5EzWnWdsCXHSiy2B0YNuLVu9sLCQadOmcdpppzFz5sw9bkG8t2Bf\nwOwEaJrGhg0bohnoli1b6N+/f7SEO2zYMGRZZsWKFZhMJgYMGIAsy/Wk41qrvdqT0RJz556C9mri\ntlcHVtUEgYCK16dS7VXweBQqqyKUV0YordElLSzWxcJ7ZdgYMtBJ3pAEDtjPxeCBTkxdlJ3GthCa\n0vati+LSEHc8vIl+vR3884oBDQb90ipd0F6WYfIYlV4pteclHFEo98qU+S04LBq9XCpJDjl6XkQ4\niKgqRriL9QwxKQMpMR0crniikRJBlBUiyosQFSWIqgqE1w0Bny63qET0FZskg8WCsNoR9gRMqZnI\nGdnIfYcgZ/dr9hgtWrSIO+64g8cee4zx48e3/kDvQ4/BvoDZBdA0jS1btkQD6Pr161EUhe3bt/Ov\nf/2Lv/3tb5jN5jjpuJbMt/VUvPNxEUtXuMkbnMCg/k6yM2Uy0iRSkhN2S7JLS89L7LhIV8gVRhSN\nnbuCbPzDz/qNXn5b56HCHeHgUclMGJfKoWNTOk0HNtbPsTWjMUtXuHl47h+c9ZccTv9zVr0Aq2rw\n03qJXzbKHLm/PtYT20Ks8EFBpT6KlJsssJpqKgORCASqsHjLMIV9CFcGcko2sjOptqSqRBAFm9G2\n/Y5WsBlRUYyUmomUkYOU1gspKQ3JlaLLLFrtYLGAbEJTFIKeakTQj12LIHkqEeVFkJiCeexRje6r\nqqo8/PDD/Prrr7zwwgtkZGS07WC3EG+88QZ33HEHO3bsIDs7mxdffJGJEyd26nfubdgXMLsYS5Ys\n4eKLL6Zv375MmTKFFStWsHbtWjIyMqIl3AMPPLBeAI3VXu3pAdTjVVi30cuGTV42bvFQUBimuCxC\nUqKuSZqeZiEtxVqjS2omMcFEgtOM0yHjdJj0np5djvoPWsw9S8e3oblD43WjLBk7YqRpxFlfxc71\nSTVsX3MNy7e9p7OsIsyS5W4W/1zJ71t8HDk+jZMmZbbIA7OlaMtojKJovPTWLr5eXMYN/zeYA4fX\n79+Ve+DDJSbsFsGfx2kkxTBf/SHYVq4fu37ptabdQgjwVqCVbgNNRaTmojpTUTT9HKEomHdtxrQ5\nHwo2IWXkIg/IQ+4zGCmrry560YJ9bW21oLy8nBkzZnDooYdy0003dTrT/csvv+Tyyy/nrbfe4pBD\nDqGwsBAhBLm5uZ36vXsb9gXMLsbf/vY3TjrpJM4666w4MsHOnTtZtGgRixYtIj8/n5SUFCZMmMDE\niRMZPXo0Foul3oM6NoA2xizsDsRqoxojFKomKK8IU1oeprwiQkVVhOpqhSqPgs+vRP0HAzW9vGBI\n7+uFwxqaELphr1XXI7XbZRIcJhITzSQlmklLtdArw0qfHDtDByW0SL+1I6Bp4PYJiisiVFRr+MIW\nfEEJT1AiEJYIRWRCEd14Oc5cuY4uqVpDZAor+nscVn3sIbGmF5uWKEhzQWaywOVouWxbWUWYLxeV\n8fGXpWRnWjnntFwOHpXU5sVHQ+e1JdhVFOT+J7aQmGDm2pkDSUmu26+EVX9ILMyXOWKkxpjBtVml\npsEuN5R6dHu1TFcMadVfjVa8BTQFObM/uGodYYS7DGXl92jrfoWMHLTBB6D0zUOz2ur1pwHCRaUE\ndxQSLqlA9fnRIhE0SUKzW3H1641r+BDMiS0T0f/ll1+49tprufvuu5k0aVKXLPYOP/xwLr/8ci6+\n+OJO/669GfsCZg+EEIKSkpIoiWj58uUkJiZy2GGHMXHiRA4++GBsNluceHldhZWG3D+6Ap0xQqEo\nmm7eG64hzgT04Or1qVRVK1S4IxSXhdheEGTzNj8HjXRx8Tl9GNS/ZQ+4lkDVoLgSdlVIFFZIlFRJ\nlFeDwypI+f/2zjw+qvrc/+9zZjKZJJM9hBASCBDQhCWswUCoqHXBHS0oLtXiUpSqxXp7/VkRbL3a\nVq5el4oLtCItoteiaEFBuCQYFtlCZIcAgUAgIUyWmUkmM3PO9/fHIUOGSUJASKB836+XL3XOLN8z\nmZnPeZ7v83wem0ZcpEpMBESGG0ORrSE6oWYNs+pFRQNOX4krhCGa9Q1Gc72j3hjUbHco2B1QUWPc\nv2u8ILWT4WSTGH16AdU0Qf4aOx9/XobVauIXd3dlcP/oMzr/s/G8FUKwJK+S2f84xN1juzB2TOeg\n6t8GL3y9UeVYjcLtV2h0arKsugbYd8zol+yecLItRPi8iPJ9xqDvxDSU6JOpXb3yCNrab9EPFWPq\nNxxT/xyU6LiA8/DUOrGvXEf1yvU4N++gfsdeTNZQQlO7ENo5AVNkBLqqoDd4wFVPw5Fj1O87yIBP\n3yJ21NBW36PZs2fz5ZdfMmfOHFJSUtr69v4oGh2jfv/73zNr1izcbje33347r776qjRDOMdIwbwI\nEEJgt9tZuXIl+fn5bNy4kdDQUIYPH05ubi7Z2dn+L8apFZ/QPn64bR3ufL5xN2h8s6KS+Z8fYfbr\n/YgIP/t9xOMOKC5T2F+ucKhSITrCEKsusTpxNh+2kDpsEW3rl22tcb+tlbhCQG0dHD6ucPCYwr6j\nCrqAy1ME/brrJJ1m6pOuC1autfPh/MN07WLlkXtT2jR67GyKmI4d9/A/75dgr/by28k96NHM6xyr\ngQWrTaQmCK4dpPtbRYSACgeUVUFqvGGM748qayvRj+wxxrJ16u7vexTOWnyrFqOX7MA0ZDSmASNQ\nLCfNf/UGD8cWraB8/iKqV28icmAGcVddQeSQfoT1TUeJjAj4zqiqisVi8X+OxYm0u9rCvrTT6eTJ\nJ58kOTmZP/3pT+26V19WVkZKSgpDhw7lq6++wmw2c9tttzF69GheeumldlvHpYAUzIsQIQQ1NTUU\nFBSQl5fHunXrMJlMZGdnk5uby/Dhw4mIMPas2sMPt7GHtKmzS0fi8+mMf3Qzs17rT9wZTr6ochrD\nobcfVHF7ID1Z0DNJ0K2T0Sfa0sSYRoN3d6Mn6YlZio2+pI17l43WaieM/lAUgYJAVXRCVCN1aw1R\nCQ9VCbMohJhajiCFgMpa2FGqsqXE6PfM7qOTkdK6rZ/Xp/OvpceY93kZV+bE8fNxXYmKDBaCsxlm\nremCRcuOMffTw9x6QyJ3396FEHPwYnYdVvh6g8pVA3Syepz8CdJ1KKmEOi+kJxrRJYDQNcTRvYi6\natTky422kBNr1Lesxbf6a0x9szFl/zRgFqq3qpbD78/n8KxPicjoRdK9t5Jww08wRwfuoTZW/DbO\nrgSC+kFb+s7s3LmTyZMn85vf/IY777yz3S8Uq6qqiI+PZ86cOdx///0ALFiwgJdeeolNmza161r+\n3en4+TGSM0ZRFGJiYrj55pu5+eabEULgdDpZvXo1eXl5vPbaa2iaxtChQ8nNzSUnJ8c/R69pL2hD\nQwNAUAq3rV/4C9WZ6ItvKuiVFt5msdR02H1YYdNehWM1ChmpgjFDNVLiA8WqMdIym0NQQsKpdJ2Y\noegxhNKknvQlDTEbe5FNfUnVRl9cgBMWarpQTuxhqnhOpJ6dbp3jToFHM/4W4RZBVBjEhKsBpvGK\nAp2ioVO0Tm4m7D2qsHanynfbYHR/ncu6imbFNsSsMvbGzlwzKp6P/vcwDz29hXvvSObmazthPiFu\nTVPrNputTRdBO/c4+cvfDhISovDqtMtJSw0Luo8QRhXsxmKV8aM0kk9mS/FqsKfceP8yujTpp/Q2\noJduQ7GEofYYfDKqrHfiWzIfUeckZNzjqPFJ/ufSvV4OzfyYg//zN+LHXMnAf71PxGXNG5s3rW62\n2Wz+i6Cm2x6NF50ejwdd1/nNb35Djx49MJvNLF26lDlz5tCnz9lPWfkxxMbGtlv691JHRpj/hjSW\n/H///ffk5eWxevVq3G43gwcPJjc3lxEjRhAbGxvgh3umrjcXqt9t3urjvPtRKf/z+wySEluZx4Wx\nf7Zpr9HCEGuDIek6fZIFp56KrguqnQ3U1EODZsHlUQk1G2YJERajxSHMcvIH/lxgXNhouD0aDrfA\n2aDi8ppRFYgL10mIVLBagi9uhICScoVlRSoRoYIxQ3Viba2/VklpPe99dJDyYx4evKsr2YMi8Hja\nfhF08FA9f/9nGVt2OPjFhBSu/Ul8C5Nm4JuNKkeqFMaP0ohsoqceH+w6arj0dI1tkoJtqEM/uAUl\npgtKQurJvcrjR/EunI0pfQCmkTeiNPmjuXbuY/sjz2HpFE/vP/+W8PTuLa79bEwXNE3jiy++4LPP\nPmPTpk3Y7Xb69+9Pbm4u9913HwMHDjztc5xrpk2bxtdff82iRYswm83ceuutXH311bz44ovtvpZ/\nZ6RgXiK43W7WrVtHXl4eq1atwuFwMHDgQH8lbkJCQquG8k3TUV6v94KLKgGW5lXy148P8fJzfVot\n+GnwwrrdhlD2SBJccVnw/p8Qhs3acYdOVZ0RHcaEK0SFKURag2cqCiHA6wZPPcLjhhOepELzgu4z\nzHQ5kY9VFKMZXjUZszvNFggJNSzaQiOM/w4SQoGm6dTWa9hdCjVuMzaLl842jbBQNSg7oOvGOa7d\npXLtQJ2+3U//Nd9QVM1f55XS4NG58+Ykrh6ZgNXa/IWQpgsKt9Ty1dIKtu92cseNnbl9TGfCWri/\nT4OFa1U8PrhzhB4whNvjg51HjArYLjFNzrmhDv3ADyiJaagxTaLHisN4P/8A86ibMWUGFuFUfp3P\nzsnT6TntSbr8/PZWP5tNU7AWi6XF+51KSUkJkyZN4oEHHmDixInU19ezfv16CgoKGDlyJKNHj27z\nc50rfD4fTz31FPPmzcNqtXLXXXfx5z//+YzOS3J6pGBeoni9XjZs2OA3lG+8Sm50I0pKSmrRDxfw\nF0Sc7USWc4muC/7xzzKW5lfyX/+vD926BqcCwfjR3rRXYfUOlZ5JgtxMnbhT2gEbfFDpgEqnsbdo\nC/GQEGnCFmb2V3g2iqOoq4X6WoTbCW6X4T8aGoYSYoWQUDCHGn1+qsn4R1GbzIjSQddA8yK8HuP5\nPHXG8wiBEhENtjiUyHgUU3Bq2esTlNcKKhwKsWE+4qxuEMHTcipqFBasNnF5imB0f73F/dCmKdjt\ne7x8uaSCLTucZPWNpE+vCDrFWTCZFI4db6CktJ7NWx0kxIUw5ppOXDMqHmtoyxkGTYMFa1RUBW67\nQg+42NB02FEGcTZIbiqWPg/6/s0oCamosV1O3l59HM+nb2G+6g5MvQcEvE7l4jx2/fq/6P/x60QN\nadnU/GznkQohWLp0KX/605+YOXMmgwYNatPjJP8+SMGUAMYVamFhIfn5+Xz33XeUl5eTkZHhnwma\nn5/PsmXLeO+99zCZTP5+0Ka2cWfju/pjcdVpzJi5D3uVl+nP9Ca2mX1LIYwik/8rUkmIElw1QA9o\nXxACHG4orzX+HRchiDDVYzXrREQYLRRC18BVhXDYEa4qQ9TCow27NWskWCNOO6mirQiPG1FXjXDY\nwVWFYotDiU9BCQtu9vf4jIb+Bh/06qRjVoLN/r26mS++D6dLnOD6wYH7mqfa2zWNSGodPjZtqWFv\nSR32Ki9en6BTvIXuKWH0vdxG16TTtywIAV9+b0SWd4zQA9LWQkBxhbHP273JfrEQAv3gVhSrDbXz\nyRmjQvPhnf8WauYQzIN+EvA69ftL2XjNzxnw2dtEDe7b4nrOJgULxvfj5Zdfpri4mFmzZhETE3P6\nB0n+7ZCCKWkWTdPYsmULX331FTNnzsRkMnH11Vf7e0Eb/W+bjmlq/PeZ+K7+GEoO1vGH1/fSPyOS\nx3/RDUtI8CZiZS0sLVRx1itcO0inR+eTH3chjHmJZdVGBWvnKIi0ePB63FgsFiyWEBRnFaK2AuGs\nAqvNiPhsccaUi4AByDrU2BHVlYYnqasGUeeEE56kQtdRTniSEhqGEhGFEh2HEp+EEt8FpYUKVKH5\nENVHEccPQ1gkalIvY6JG0/sIQ+yP1sBlScZ+qnH7yb+Nq97Hgu9tpCd5ueIynz+F63a7EUKctwk5\n321T2HdU5Z4rtaBRXBW1hiFBRnLgXEq96iii+ghq2sCA99i3MQ/94B5Cbn846DO19efPEDkok+5T\nJra4lqYp2DNpe6qoqODRRx/l+uuvZ8qUKR1eBS7pOKRgSlpk6dKl/PznP2fixIlMnTo1wA+3pKSE\ntLQ0/0iz3r17+wX0VN/Vpoby58LOTwjB4uXH+HD+YR69P5Vrrwz26PRpxpDhTXsVcjN1hqSfbLVo\nHAd1qMqoWE2Ogeiwk/M5w80qSu0J8+7QcKPnLzIhwEZN1LsMP9LD+9HLDyKOHQFrGEpsoiGEtmiU\ncBuEhkFjWlbo4PWAuw7hqjWEtfIIouY4SudU1PR+mC4bhBIeHEkKXUMcP4Swl6EmX4YSGRd0n0oH\nHK6CzK7NDy921An+uszMTUPqSYr2+I0uGrMD59rooqRc4ct1KhN/qmE7JUvu02DLIbisi1E05T9P\noaPvWYea2jcgoha6hmfWS4SMfQS1U6Ddm7eqljX9b2Tkrm8xRTRXmXty9NiZpGABVq1axfPPP8+M\nGTMYNWpUmx8n+fdECqakRbZs2YLL5Wp2woKu6+zZs8dv57d3715SUlL8RUQZGRlBAnou/HBrnT5e\nm7mf8koP/+/Jns3uV5ZWwuL1JhKiBNcN0olsUv/jaoBSu9HCkBILMeGgaSf8QrUGQhwVUF+DEpNk\nVGaGnnx+3V6OvucH9L3bEFXHUJPTUFJ6oiZ1R+mUjGI9O2ch4XGjH9p74rm3ovbOwpxzPYot2I1H\n1NWgl25H7dIbJSr4QqHUbhQ1pXdu/rW2H4RV2xXG59QQFmb1T8k5tefwxxpdaBq8v8TEtYN00rsE\n/8SUVRvr7HHK+EhRW4luP4wpLSvgdv3wPnx5X2C59+mg53IUbmfnEy8yrOCToGONDkWKohAeHt7m\nc9F1nbfffpu8vDzmzJlD584tvKGSSwopmOcZj8fDY489xvLly7Hb7fTq1YtXXnmFG264oaOXdk4R\nQrB///6AiSydO3f2R6D9+vXDZDL9aD9cp8vHwiUVjLslKSgF6/VB/laV7QcVrhusc3nKyY+2TzMi\nyqo66BpjVGSC4U7kc1ZhdVageN3GXmFMEop6wpDAXY++YwPa9vUIlwO19wBMvfqhdO3R6p6l0DR0\njxd0gWq1BLQ9tPo+uuvQNqxA2/o95qvvwNQnuEVB1DvQD25FTcsyKmuboOvwwyHo09mYBxp4TMfl\nqmPed5FcP0QnrXNwJW5zTlFn06e7eZ/CjlKFCVfqzR7fcgh6djI8cwPWeGQPWMJQ4wP7CrVt69FL\niwm5YULQczUcqWBdznhGFi8LcOJp7Js902ru6upqfvWrX5GZmcn06dPP+9QZycWD/CScZ3w+H926\ndWPlypV069aNRYsWMX78eLZs2UL37i33h11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} ], "prompt_number": 54 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Change the view angle:\n", "\n", "We can change the perspective of a 3D plot using the `view_init` function, which takes two arguments: the elevation and the azimuth angles (unit 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": [ { "output_type": "display_data", "png": 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SYGGyu9GuXEGviewdVqtVSZzyeDywWq2w2Wyl2g4IgO2ADMOUGCKRCILBoO49WpIkANC9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B2a+qmPDw1g6U+0wWkYqMjGSaNGnN4sVbuHXrGhMnjkKn09kFaXfuxNCgQbhNNszawBdEuLl5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4wfP5fjx3fz+uudOXnyMBKJlO3b11CnTgNsbZVWNaxADBqfPfsTgwa9ZdrWokUnli/fx/Xr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\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PDhxYR1JSYnFPiJq8vGds3jyKqlWbEhRkKbJhNBrJzVVgNBby5s0LRCKhSdtk0l2vXjNu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cljubq689VXaxGLxQQGdqagII358/sTFlaTsWM7smLFbM6fP8amTV+hUsHEiaYNj3/+eS7BwWE8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CCgUaNGhIWFUadOHdq1a0dAQECmftgZJeVVxJ0oBnTVuKTcTuCaW2Qm5a4qlNC2bVsuXIhI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\nempERUXRsmVLPv30UxYvXpxt6dzz0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} ], "prompt_number": 55 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Animations\n", "\n", "Matplotlib also includes a simple API for generating animations for sequences of figures. Using the `FuncAnimation` function we can generate a movie file from a sequences of figure. The function takes the following arguments: `fig` a figure canvas, `func` is a function that we provide which updates the figure, `init_func` is a function we provide to setup the figure, `frame` is the number of frames to generate, `blit` tells the animation function to only update parts of the frame that has changed (giving better smoother animations):\n", "\n", " def init():\n", " # setup figure\n", "\n", " def update(frame_counter):\n", " # update figure for new frame\n", "\n", " anim = animation.FuncAnimation(fig, update, init_func=init, frames=200, blit=True)\n", "\n", " anim.save('animation.mp4', fps=30) # fps = frames per second\n", "\n", "To use the animation features in matplotlib we first need to import the module `matplotlib.animation`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib import animation" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 56 }, { "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": 57 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate an animation that shows the positions of the pendulums as a function of time:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(figsize=(5,5))\n", "\n", "ax.set_ylim([-1.5, 0.5])\n", "ax.set_xlim([1, -1])\n", "\n", "pendulum1, = ax.plot([], [], color=\"red\", lw=2)\n", "pendulum2, = ax.plot([], [], color=\"blue\", lw=2)\n", "\n", "def init():\n", " pendulum1.set_data([], [])\n", " pendulum2.set_data([], [])\n", "\n", "def update(n): \n", " # n = frame counter\n", " # calculate the positions of the pendulums\n", " x1 = + L * sin(x[n, 0])\n", " y1 = - L * cos(x[n, 0])\n", " x2 = x1 + L * sin(x[n, 1])\n", " y2 = y1 - L * cos(x[n, 1])\n", " \n", " # update the line data\n", " pendulum1.set_data([0 ,x1], [0 ,y1])\n", " pendulum2.set_data([x1,x2], [y1,y2])\n", "\n", "anim = animation.FuncAnimation(fig, update, init_func=init, frames=len(t), blit=True)\n", "\n", "anim.save('animation.mp4', fps=20, extra_args=['-vcodec', 'libx264'])\n", "\n", "plt.close(fig)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 58 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: To generate the movie file we need to have the program `ffmpeg` installed. Install it using:\n", "\n", " $ sudo apt-get install ffmpeg\n", "\n", "or \n", "\n", " $ sudo port install ffmpeg" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import HTML\n", "video = open(\"animation.mp4\", \"rb\").read()\n", "video_encoded = video.encode(\"base64\")\n", "video_tag = '