diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..24198a7 --- /dev/null +++ b/.gitignore @@ -0,0 +1,3 @@ +.ipynb_checkpoints +my_*.png +my_*.mp4 diff --git a/LICENSE b/LICENSE index 7325a1d..4909afd 100644 --- a/LICENSE +++ b/LICENSE @@ -1,21 +1,178 @@ -The MIT License (MIT) + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ -Copyright (c) 2016 AurĂ©lien Geron + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION -Permission is hereby granted, free of charge, to any person obtaining a copy -of this software and associated documentation files (the "Software"), to deal -in the Software without restriction, including without limitation the rights -to use, copy, modify, merge, publish, distribute, sublicense, and/or sell -copies of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: + 1. 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In no event and under no legal theory, + whether in tort (including negligence), contract, or otherwise, + unless required by applicable law (such as deliberate and grossly + negligent acts) or agreed to in writing, shall any Contributor be + liable to You for damages, including any direct, indirect, special, + incidental, or consequential damages of any character arising as a + result of this License or out of the use or inability to use the + Work (including but not limited to damages for loss of goodwill, + work stoppage, computer failure or malfunction, or any and all + other commercial damages or losses), even if such Contributor + has been advised of the possibility of such damages. + + 9. Accepting Warranty or Additional Liability. While redistributing + the Work or Derivative Works thereof, You may choose to offer, + and charge a fee for, acceptance of support, warranty, indemnity, + or other liability obligations and/or rights consistent with this + License. However, in accepting such obligations, You may act only + on Your own behalf and on Your sole responsibility, not on behalf + of any other Contributor, and only if You agree to indemnify, + defend, and hold each Contributor harmless for any liability + incurred by, or claims asserted against, such Contributor by reason + of your accepting any such warranty or additional liability. + + END OF TERMS AND CONDITIONS -The above copyright notice and this permission notice shall be included in all -copies or substantial portions of the Software. -THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR -IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, -FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE -AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER -LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE -SOFTWARE. diff --git a/README.md b/README.md new file mode 100644 index 0000000..ed3391c --- /dev/null +++ b/README.md @@ -0,0 +1,12 @@ +Machine Learning Notebooks +========================== + +This project aims at teaching you the fundamentals of Machine Learning in +python. + +Simply open the [Jupyter](http://jupyter.org/) notebooks you are interested in: + +* within github (start at [index.ipynb](https://github.com/ageron/ml-notebooks/blob/master/index.ipynb)) +* using [Binder](http://mybinder.org/): [![Binder](http://mybinder.org/badge.svg)](http://mybinder.org/repo/ageron/ml-notebooks) +* or by cloning this repository and running Jupyter locally. + diff --git a/index.ipynb b/index.ipynb new file mode 100644 index 0000000..c3ffc6d --- /dev/null +++ b/index.ipynb @@ -0,0 +1,38 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Machine Learning Notebooks\n", + "\n", + "Welcome to the Machine Learning Notebooks.\n", + "**This work is in progress.**\n", + "\n", + "## Tools\n", + "* [Matplotlib](tools_matplotlib.ipynb)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/requirements.txt b/requirements.txt new file mode 100644 index 0000000..d1e03c0 --- /dev/null +++ b/requirements.txt @@ -0,0 +1,12 @@ +jupyter +matplotlib +numpy +pandas +Pillow +scikit-learn +scipy +git+git://github.com/tensorflow/skflow.git +sympy +https://storage.googleapis.com/tensorflow/linux/cpu/tensorflow-0.7.0-py2-none-linux_x86_64.whl +wheel + diff --git a/requirements_macosx.txt b/requirements_macosx.txt new file mode 100644 index 0000000..291c806 --- /dev/null +++ b/requirements_macosx.txt @@ -0,0 +1,12 @@ +jupyter +matplotlib +numpy +pandas +Pillow +scikit-learn +scipy +git+git://github.com/tensorflow/skflow.git +sympy +https://storage.googleapis.com/tensorflow/mac/tensorflow-0.7.0-py2-none-any.whl +wheel + diff --git a/tools_matplotlib.ipynb b/tools_matplotlib.ipynb new file mode 100644 index 0000000..890a124 --- /dev/null +++ b/tools_matplotlib.ipynb @@ -0,0 +1,2307 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Tools - matplotlib\n", + "\n", + "This notebook demonstrates how to use the matplotlib library to plot beautiful graphs." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plotting your first graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First we need to import the `matplotlib` library." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import matplotlib" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Matplotlib can output graphs using various backend graphics libraries, such as Tk, wxPython, etc. When running python using the command line, the graphs are typically shown in a separate window. In a Jupyter notebook, we can simply output the graphs within the notebook itself by running the `%matplotlib inline` magic command." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "# matplotlib.use(\"TKAgg\") # use this instead in your program if you want to use Tk as your graphics backend." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's plot our first graph! :)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "plt.plot([1, 2, 4, 9, 5, 3])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Yep, it's as simple as calling the `plot` function with some data, and then calling the `show` function!\n", + "\n", + "If the `plot` function is given one array of data, it will use it as the coordinates on the vertical axis, and it will just use each data point's index in the array as the horizontal coordinate.\n", + "You can also provide two arrays: one for the horizontal axis `x`, and the second for the vertical axis `y`:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([-3, -2, 5, 0], [1, 6, 4, 3])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The axes automatically match the extent of the data. We would like to give the graph a bit more room, so let's call the `axis` function to change the extent of each axis `[xmin, xmax, ymin, ymax]`." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([-3, -2, 5, 0], [1, 6, 4, 3])\n", + "plt.axis([-4, 6, 0, 7])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now, let's plot a mathematical function. We use numpy's `linspace` function to create an array `x` containing 500 floats ranging from -2 to 2, then we create a second array `y` computed as the square of `x`." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy\n", + "x = numpy.linspace(-2, 2, 500)\n", + "y = x**2\n", + "\n", + "plt.plot(x, y)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "That's a bit dry, let's add a title, and x and y labels, and draw a grid." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(x, y)\n", + "plt.title(\"Square function\")\n", + "plt.xlabel(\"x\")\n", + "plt.ylabel(\"y = x**2\")\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Line style and color" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "By default, matplotlib draws a line between consecutive points." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([0, 100, 100, 0, 0, 100, 50, 0, 100], [0, 0, 100, 100, 0, 100, 130, 100, 0])\n", + "plt.axis([-10, 110, -10, 140])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can pass a 3rd argument to change the line's style and color.\n", + "For example `\"g--\"` means \"green dashed line\"." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([0, 100, 100, 0, 0, 100, 50, 0, 100], [0, 0, 100, 100, 0, 100, 130, 100, 0], \"g--\")\n", + "plt.axis([-10, 110, -10, 140])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can plot multiple lines on one graph very simply: just pass `x1, y1, [style1], x2, y2, [style2], ...`\n", + "\n", + "For example:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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J07F92Kcsn8LAtgOZFJhE60atvS4rtkRQy0WBLuIDBwoO8PTnTzN91XRu73Q7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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([0, 100, 100, 0, 0], [0, 0, 100, 100, 0], \"r-\", [0, 100, 50, 0, 100], [0, 100, 130, 100, 0], \"g--\")\n", + "plt.axis([-10, 110, -10, 140])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Or simply call `plot` multiple times before calling `show`." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([0, 100, 100, 0, 0], [0, 0, 100, 100, 0], \"r-\")\n", + "plt.plot([0, 100, 50, 0, 100], [0, 100, 130, 100, 0], \"g--\")\n", + "plt.axis([-10, 110, -10, 140])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can also draw simple points instead of lines. Here's an example with green dashes, red dotted line and blue triangles.\n", + "Check out [the documentation](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.plot) for the full list of style & color options." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = numpy.linspace(-1.4, 1.4, 30)\n", + "plt.plot(x, x, 'g--', x, x**2, 'r:', x, x**3, 'b^')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The plot function returns a list of `Line2D` objects (one for each line). You can set extra attributes on these lines, such as the line width, the dash style or the alpha level. See the full list of attributes in [the documentation](http://matplotlib.org/users/pyplot_tutorial.html#controlling-line-properties)." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = numpy.linspace(-1.4, 1.4, 30)\n", + "line1, line2, line3 = plt.plot(x, x, 'g--', x, x**2, 'r:', x, x**3, 'b^')\n", + "line1.set_linewidth(3.0)\n", + "line1.set_dash_capstyle(\"round\")\n", + "line3.set_alpha(0.2)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Saving a figure\n", + "Saving a figure to disk is as simple as calling [`savefig`](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.savefig) with the name of the file (or a file object). The available image formats depend on the graphics backend you use." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = numpy.linspace(-1.4, 1.4, 30)\n", + "plt.plot(x, x**2)\n", + "plt.savefig(\"my_square_function.png\", transparent=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Subplots\n", + "A matplotlib figure may contain multiple subplots. These subplots are organized in a grid. To create a subplot, just call the `subplot` function, and specify the number of rows and columns in the figure, and the index of the subplot you want to draw on (starting from 1, then left to right, and top to bottom). Note that pyplot keeps track of the currently active subplot (which you can get a reference to by calling `plt.gca()`), so when you call the `plot` function, it draws on the *active* subplot.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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Cv5j3SWRNVNWVwD4Z2ikwXkSmichVBcqMPDb7N6KGCDzxhAsi+/rrsLUpDZ5+GurVgzPP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\nLmT7/PPD1saIKiLyItAW2FN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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = numpy.linspace(-1.4, 1.4, 30)\n", + "plt.subplot(2, 2, 1) # 2 rows, 2 columns, 1st subplot = top left\n", + "plt.plot(x, x)\n", + "plt.subplot(2, 2, 2) # 2 rows, 2 columns, 2nd subplot = top right\n", + "plt.plot(x, x**2)\n", + "plt.subplot(2, 2, 3) # 2 rows, 2 columns, 3rd subplot = bottow left\n", + "plt.plot(x, x**3)\n", + "plt.subplot(2, 2, 4) # 2 rows, 2 columns, 4th subplot = bottom right\n", + "plt.plot(x, x**4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* Note that `subplot(223)` is a shorthand for `subplot(2, 2, 3)`." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "It is easy to create subplots that span across multiple grid cells like so:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.subplot(2, 2, 1) # 2 rows, 2 columns, 1st subplot = top left\n", + "plt.plot(x, x)\n", + "plt.subplot(2, 2, 2) # 2 rows, 2 columns, 2nd subplot = top right\n", + "plt.plot(x, x**2)\n", + "plt.subplot(2, 1, 2) # 2 rows, *1* column, 2nd subplot = bottom\n", + "plt.plot(x, x**3)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you need more complex subplot positionning, you can use `subplot2grid` instead of `subplot`. You specify the number of rows and columns in the grid, then your subplot's position in that grid (top-left = (0,0)), and optionally how many rows and/or columns it spans. For example:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Xw/HHw9tv+0JfHKxcCSecYCaaPfeMW5qS0zMwndYH3hWRPVT13eqDgUl1a1Xd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\nRK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.subplot2grid((3,3), (0, 0), rowspan=2, colspan=2)\n", + "plt.plot(x, x**2)\n", + "plt.subplot2grid((3,3), (0, 2))\n", + "plt.plot(x, x**3)\n", + "plt.subplot2grid((3,3), (1, 2), rowspan=2)\n", + "plt.plot(x, x**4)\n", + "plt.subplot2grid((3,3), (2, 0), colspan=2)\n", + "plt.plot(x, x**5)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you need even more flexibility in subplot positioning, check out the [GridSpec documentation](http://matplotlib.org/users/gridspec.html)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Multiple figures\n", + "It is also possible to draw multiple figures. Each figure may contain one or more subplots. By default, matplotlib creates `figure(1)` automatically. When you switch figure, pyplot keeps track of the currently active figure (which you can get a reference to by calling `plt.gcf()`), and the active subplot of that figure becomes the current subplot." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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YUShS7pYuDUdt6OdBalqzBr7+9dBqYepUbYAQSUrJLhHCtkJ3EQmzV4MGaWZC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\n+Pvfw4kBI0bEjqR85Way6mz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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = numpy.linspace(-1.4, 1.4, 30)\n", + "\n", + "plt.figure(1)\n", + "plt.subplot(211)\n", + "plt.plot(x, x**2)\n", + "plt.title(\"Square and Cube\")\n", + "plt.subplot(212)\n", + "plt.plot(x, x**3)\n", + "\n", + "plt.figure(2, figsize=(10, 5))\n", + "plt.subplot(121)\n", + "plt.plot(x, x**4)\n", + "plt.title(\"y = x**4\")\n", + "plt.subplot(122)\n", + "plt.plot(x, x**5)\n", + "plt.title(\"y = x**5\")\n", + "\n", + "plt.figure(1) # back to figure 1, current subplot is 212 (bottom)\n", + "plt.plot(x, -x**3, \"r:\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Pyplot's state machine: implicit *vs* explicit\n", + "So far we have used Pyplot's state machine which keeps track of the currently active subplot. Every time you call the `plot` function, pyplot just draws on the currently active subplot. It also does some more magic, such as automatically creating a figure and a subplot when you call `plot`, if they don't exist yet. This magic is convenient in an interactive environment (such as Jupyter).\n", + "\n", + "But when you are writing a program, *explicit is better than implicit*. Explicit code is usually easier to debug and maintain, and if you don't believe me just read the 2nd rule in the Zen of Python:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The Zen of Python, by Tim Peters\n", + "\n", + "Beautiful is better than ugly.\n", + "Explicit is better than implicit.\n", + "Simple is better than complex.\n", + "Complex is better than complicated.\n", + "Flat is better than nested.\n", + "Sparse is better than dense.\n", + "Readability counts.\n", + "Special cases aren't special enough to break the rules.\n", + "Although practicality beats purity.\n", + "Errors should never pass silently.\n", + "Unless explicitly silenced.\n", + "In the face of ambiguity, refuse the temptation to guess.\n", + "There should be one-- and preferably only one --obvious way to do it.\n", + "Although that way may not be obvious at first unless you're Dutch.\n", + "Now is better than never.\n", + "Although never is often better than *right* now.\n", + "If the implementation is hard to explain, it's a bad idea.\n", + "If the implementation is easy to explain, it may be a good idea.\n", + "Namespaces are one honking great idea -- let's do more of those!\n" + ] + } + ], + "source": [ + "import this" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Fortunately, Pyplot allows you to ignore the state machine entirely, so you can write beautifully explicit code. Simply call the `subplots` function and use the figure object and the list of axes objects that are returned. No more magic! For example:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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P3Ox+SZL2SpIUA+BzAIP09psbSTJpTUgidn0qEHEbUYLCS5ZAsW9fuOfPN6ZR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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = numpy.linspace(-2, 2, 200)\n", + "fig1, (ax_top, ax_bottom) = plt.subplots(2, 1, sharex=True)\n", + "fig1.set_size_inches(10,5)\n", + "line1, line2 = ax_top.plot(x, numpy.sin(3*x**2), \"r-\", x, numpy.cos(5*x**2), \"b-\")\n", + "line3, = ax_bottom.plot(x, numpy.sin(3*x), \"r-\")\n", + "ax_top.grid(True)\n", + "\n", + "fig2, ax = plt.subplots(1, 1)\n", + "ax.plot(x, x**2)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For consistency, we will continue to use pyplot's state machine in the rest of this tutorial, but we recommend using the object-oriented interface in your programs.\n", + "\n", + "## Pylab *vs* Pyplot *vs* Matplotlib\n", + "\n", + "There is some confusion around the relationship between pylab, pyplot and matplotlib. It's simple: matplotlib is the full library, it contains everything including pylab and pyplot.\n", + "\n", + "Pyplot provides a number of tools to plot graphs, including the state-machine interface to the underlying object-oriented plotting library.\n", + "\n", + "Pylab is a convenience module that imports matplotlib.pyplot and numpy in a single name space. You will find many examples using pylab, but it is no longer recommended (because *explicit* imports are better than *implicit* ones)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Drawing text\n", + "You can call `text` to add text at any location in the graph. Just specify the horizontal and vertical coordinates and the text, and optionally some extra attributes. Any text in matplotlib may contain TeX equation expressions, see [the documentation](http://matplotlib.org/users/mathtext.html) for more details." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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ORqnQ078/FC8uI1wLA53WIMD07w+VKsGoUU5HolTomTsXli6FMWOcjiQ4aEve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\ngg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = numpy.linspace(-1.5, 1.5, 30)\n", + "px = 0.8\n", + "py = px**2\n", + "\n", + "plt.plot(x, x**2, \"b-\", px, py, \"ro\")\n", + "\n", + "plt.text(0, 1.5, \"Square function\\n$y = x^2$\", fontsize=20, color='blue', horizontalalignment=\"center\")\n", + "plt.text(px - 0.08, py, \"Beautiful point\", ha=\"right\", weight=\"heavy\")\n", + "plt.text(px, py, \"x = %0.2f\\ny = %0.2f\"%(px, py), rotation=50, color='gray')\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* Note: `ha` is an alias for `horizontalalignment`\n", + "\n", + "For more text properties, visit [the documentation](http://matplotlib.org/users/text_props.html#text-properties).\n", + "\n", + "It is quite frequent to annotate elements of a graph, such as the beautiful point above. The `annotate` function makes this easy: just indicate the location of the point of interest, and the position of the text, plus optionally some extra attributes for the text and the arrow." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Tmt+6FfLlszoaIbLv2LFj3FHvDvpH9ie0digAB346wOdDPid6dzSFCxd26vG6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\nTNn/vn3m8f79ph5Pyv6bNTP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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(x, x**2, px, py, \"ro\")\n", + "plt.annotate(\"Beautiful point\", xy=(px, py), xytext=(px-1.3,py+0.5),\n", + " color=\"green\", weight=\"heavy\", fontsize=14,\n", + " arrowprops={\"facecolor\": \"lightgreen\"})\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You can also add a bounding box around your text by using the `bbox` attribute:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false, + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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L9FzTphHaz8/P7vGmTftM+/n56enTZ2favmvXUbv7DxkyXPv5+elZs77OtH3o0EitlNLF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\npUubaVL79jV9gIsXtzoi35O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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(x, x**2, px, py, \"ro\")\n", + "\n", + "bbox_props = dict(boxstyle=\"rarrow,pad=0.3\", ec=\"b\", lw=2, fc=\"lightblue\")\n", + "plt.text(px-0.2, py, \"Beautiful point\", bbox=bbox_props, ha=\"right\")\n", + "\n", + "bbox_props = dict(boxstyle=\"round4,pad=1,rounding_size=0.2\", ec=\"black\", fc=\"#EEEEFF\", lw=5)\n", + "plt.text(0, 1.5, \"Square function\\n$y = x^2$\", fontsize=20, color='black', ha=\"center\", bbox=bbox_props)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Just for fun, if you want an [xkcd](http://xkcd.com)-style plot, just draw within a `with plt.xkcd()` section:" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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L4VT8LRYLAHoAv/0GfPwxMGEClxalN9XV1XjxxRfx66+/oqysDJWVlTCZTFybxcPTIMFg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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "with plt.xkcd():\n", + " plt.plot(x, x**2, px, py, \"ro\")\n", + "\n", + " bbox_props = dict(boxstyle=\"rarrow,pad=0.3\", ec=\"b\", lw=2, fc=\"lightblue\")\n", + " plt.text(px-0.2, py, \"Beautiful point\", bbox=bbox_props, ha=\"right\")\n", + "\n", + " bbox_props = dict(boxstyle=\"round4,pad=1,rounding_size=0.2\", ec=\"black\", fc=\"#EEEEFF\", lw=5)\n", + " plt.text(0, 1.5, \"Square function\\n$y = x^2$\", fontsize=20, color='black', ha=\"center\", bbox=bbox_props)\n", + "\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Legends\n", + "The simplest way to add a legend is to set a label on all lines, then just call the `legend` function." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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A4O/vT2hoKC1atAD++fR1t+dla5al1exWPF/zeUJvhqbn6irxOer5rZ+5SjyO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\nJMVdCCEsSIq7EEJYkBR3IYSwoP8Pty27aLnc6mkAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = numpy.linspace(-1.4, 1.4, 50)\n", + "plt.plot(x, x**2, \"r--\", label=\"Square function\")\n", + "plt.plot(x, x**3, \"g-\", label=\"Cube function\")\n", + "plt.legend(loc=\"best\")\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Non linear scales\n", + "Matplotlib supports non linear scales, such as logarithmic or logit scales." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = numpy.linspace(0.1, 15, 500)\n", + "y = x**3/numpy.exp(2*x)\n", + "\n", + "plt.figure(1)\n", + "plt.plot(x, y)\n", + "plt.yscale('linear')\n", + "plt.title('linear')\n", + "plt.grid(True)\n", + "\n", + "plt.figure(2)\n", + "plt.plot(x, y)\n", + "plt.yscale('log')\n", + "plt.title('log')\n", + "plt.grid(True)\n", + "\n", + "plt.figure(3)\n", + "plt.plot(x, y)\n", + "plt.yscale('logit')\n", + "plt.title('logit')\n", + "plt.grid(True)\n", + "\n", + "plt.figure(4)\n", + "plt.plot(x, y - y.mean())\n", + "plt.yscale('symlog', linthreshy=0.05)\n", + "plt.title('symlog')\n", + "plt.grid(True)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Ticks and tickers\n", + "The axes have little marks called \"ticks\". To be precise, \"ticks\" are the *locations* of the marks (eg. (-1, 0, 1)), \"tick lines\" are the small lines drawn at those locations, \"tick labels\" are the labels drawn next to the tick lines, and \"tickers\" are objects that are capable of deciding where to place ticks. The default tickers typically do a pretty good job at placing ~5 to 8 ticks at a reasonable distance from one another.\n", + "\n", + "But sometimes you need more control (eg. there are too many tick labels on the logit graph above). Fortunately, matplotlib gives you full control over ticks. You can even activate minor ticks.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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M2HZbOPvsFc8pPolI3CZMgG98A157bcVzykkTkbqaOtXf46M4QBMRSYosX0kT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\nE+KuiZem+GRmFwGLnHNXtXpe8UmkRk8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mSXp8MrP9gYXAHRqkSaiefRaOPx5eew3WWivu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\nLrzQTSvs1i2ZAZrvPvsSa79DptwUrjlzXP457jhXhnHBBS7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dhYjIwgYNgvXXh6239h2J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Nn5KcYnaTEeNzH2GeLtt0iWxHiextjnSixd5d8/F3jJGPNXwAC7Vh+SiEgiys5PMQ7SREREJFxL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\nAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = numpy.linspace(-2, 2, 100)\n", + "\n", + "plt.figure(1, figsize=(15,10))\n", + "plt.subplot(131)\n", + "plt.plot(x, x**3)\n", + "plt.grid(True)\n", + "plt.title(\"Default ticks\")\n", + "\n", + "ax = plt.subplot(132)\n", + "plt.plot(x, x**3)\n", + "ax.xaxis.set_ticks(numpy.arange(-2, 2, 1))\n", + "plt.grid(True)\n", + "plt.title(\"Manual ticks on the x-axis\")\n", + "\n", + "ax = plt.subplot(133)\n", + "plt.plot(x, x**3)\n", + "plt.minorticks_on()\n", + "ax.tick_params(axis='x', which='minor', bottom='off')\n", + "ax.xaxis.set_ticks([-2, 0, 1, 2])\n", + "ax.yaxis.set_ticks(numpy.arange(-5, 5, 1))\n", + "ax.yaxis.set_ticklabels([\"min\", -4, -3, -2, -1, 0, 1, 2, 3, \"max\"])\n", + "plt.title(\"Manual ticks and tick labels\\n(plus minor ticks) on the y-axis\")\n", + "\n", + "\n", + "plt.grid(True)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Polar projection\n", + "Drawing a polar graph is as easy as setting the `projection` attribute to `\"polar\"` when creating the subplot." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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W9jgAN0tF6pZ4pSKEcBNCfP/jjz/mPMXWghiNxiKJ1Jw+fTpSUlKwbt26p0qy\nXBiaNpWG2o8/lg94QoI8HuAegDtxd/K9Pl2pXL26D0lmZEu4H38fFV2ly5eUiuyzz4Bjx4CWLZ/i\nixSQ9u3bZ6R6YNoMc2v3IhQKBUaOHGnVNgBgzJgxTiRfE0IUJLy6PIDMsyIfpB17akq8UnF0dBza\ns2dPURiDZ0Hp1KmT1dsAgOHDh8PFxQUNGjQo8tQJLVtKpeLnB3TsCKRPWTK3p5KQALi6SnuIOUol\nc0/l8GEgNVUaaY8cAazc8cwRkpg/fz4+//zzInmBWCpPcl64u7tj5MiRjhqNZoLVGzODEq1UhBD2\nzs7On40ePdqqT15RZx1Lf2NWr169SIKlMuPuLm0ZJ08CgwYB6QvzBbgF4E7snXyv12qlQunUqYNZ\nSuVWzC1Ucq8EAJg3D/joI+DRIzkEK+QKKIUmvSfap0+fIl8pcuPGjVatf9iwYfY6na6XEMJct+ED\nABUz7VdIO/bUlGilAqB7hQoVFM2aNbNaAyaTCTNnFl3S8s2bN+PGjRsA5Ftz4sSJBeqGR0cD33wD\nPE06jw4dgH37gBdeAO7eBa5dA3zVvkjQJyBJn7em0GoBhQJQqczrqVx/dB3VPasjPh7YsgV4+20Z\nK9OuHVDY5zomBhg7FggOLth1s2bNQkJCAnx9i36Sb3rUr7Xw9vbGa6+9ZnRwcMgcZSvStpzYBOAd\nABBCPAcglqT5czXyorij7/LaXF1dD82aNcvMGMPSQebkyYXhzBkSIH19yVOnClfH1q3k88/Lz59/\nTo4eLT/XnVOXZ0PPZpTbvn07w8LCMvbnzZvHunUf8swZcufOQNrZzcuSwHrBggWMiorK2E/SJ9F5\nvDMNRgOXLCFfeUUef/dd8pdfCif73btkrVryN1i+vHB1pBMSEsKVK1c+XSUliOPHj1OtVocDsAew\nEsBDADoA9wC8B+nl+YCPI9RnA7gB4DyAJrTQc1vsiiNXwYAqarU6JTk52VK/eYnGYDDw0aNH+ZYz\nGskaNcgRI0gfH/L06YK3lZREqtXko0fkxYtk+fKkwUA2G9aMP235KaPcvXv3qNdnDd2vVUuG5wcG\nBtLBgdTpHp/T6/U0GAwZ+/839v9YfVp1kmSnTuSaNaTJRJYtS16/XnC5Hz4kq1YlR44k3d2l/Pmh\n1WoZHx+f6/m4uLiCC/IUWHMlBpPJRH9//yQAPViMz26JHf64uLj8b/DgwXbWNGSuWbPGanVnJjY2\nNt8V7LTXRwXNAAAgAElEQVRaLf7+++9867KzA774Qhpb580DXnopa7yJOSiVcvgxY8YeJCQcQ9my\nwJ49QJdXuiBBnZBRrmLFihn2n8dyAs7OMp9K9iGQo6NjFsNk6zdao1b5WggJAc6cMeLChXG4cIFw\ncQGqVSuYzLGxQLduMiI4ORkYPBjIZykmAMDWrVvzzMrn6lr45FGFYe7cuTke37FjB2rVqoUaNWpg\nypQpT5yPjo7Giy++iEaNGqF+/fr4Ld0YlgkhBEaNGqV0c3P7wtJyF4ji1Gi5bQBcnJ2dE68X5nVm\nJiaTiRcvWn+SGyknulnyjZiaStatS27YQM6eTVavTkZH53+dyWTigwcPSJJz5pBvvim7GbNnk/37\nk0vPLuVb697Ksw4/PzKtCvr6yt5Dbkw5NIUjdozg1Knk4MHy2NSp5NCh5O3bt7l9+/b8haacxNi1\nKzlsmOwleXuTll6iaMWKFcW2npPRaGTVqlV5584d6vV6NmzYkFeuXMlSZuzYsfzyyy9JkpGRkfT0\n9GRqauoTdSUlJVGlUqUAqExbTyULr9epU0dUK+jrrAAIIQo1L6cwODk5FeiNGBISkmeiJwcH4Mcf\ngZEjpQfnpZeA/v2B/BxJt2/fzsj12rMnsHOnE4xGee22bUAFpzq4Fp33hJ50Q+2+ffvyDbEPjg5G\nDa8aWLFCGmgBYMcOoHt3uZB55mRLuUEC//sf4OgI/PQTMGyYNFTnNTVKp9NlWUnAHF588cUiCT7M\niRMnTqB69eoICAiAo6Mj+vXr94S3yM/PDwlpQUUJCQnw8vLKUV6lUolBgwbZKRSKYUUifA6UyAWg\n3dzcRo0dO1aZvh+WGIa9t/fifNh5XH90HbdjbyNWG4t4XTwS9YlwsHOAo50jnOyd4KZwQxllGZRR\nlYGvyheV3SujqmdVVPWoimqe1eCmcIPBYCiSG2j//v2oW7dugScHurm54fjx43kuFP7CC0CTJsDE\nicCUKXJoMGYMMHly1nLbtm1D+/btoVKpUKVKlYylWQMCAF9f6Vp+7jmgbVvg1onauBZ1DSRzjeHQ\n6eTwxxwuRlzE884fIzYWeP55OVQ6cULGxwghUK5cuYyyq1evRr169VAnW5jtwoXAoUPA0aPAunVA\nVBQwdGg+7V68mGXhMnOw9FyvvEhJScGxY8fQsWNH6Aw6HLt8DEaNEVMPT0VIfAiOPTiGkCshWKRc\nhCR9ElIMKUjWJcOwzYC5rnMBPRAwOAAvr3oZAW4BaFquKdr6t0VVj6oQQuDjjz92Wrhw4YdCiDEk\ni3yVNkGWjKUP0hFCNC1TpsyBm/duKv+89CfmnZqH27G30T6gPZqXa47qXtVRxaMKPF084ebsBpWT\nCkaTEammVOiNesRqYxGRFIHIpEiEJYbhduxt3Hh0AzdjbuLmo5vwVnrD5ZgLXh/yOhqXa4wW5Vug\nvKtFAgmf4Pz582jYsKFV6gaAhw+Bhg2B/fsBHx+geXOpYN7ItPpuUFAQ6tWrl6OSGDVKKohx42S8\nyubNwKFWvjj9wWlUcM0+lUSiVMoHW6kEypaVtp1MuiEDE01wm+yG9yIjoXJWYNIkqRQWLAB27sz5\n+2RXZidPyh7VoUMyvqZBA2DDBqkErcXdu3eh1+tR3QoTk6KTo3Em9AzOhJ7BzgM7cU9zD/fj7sPz\njiccbzmi76i+qOhWETcCbyA0OBQTp02E2kkNF0cXzJo2C5FRkRg3eRyuBF9Bv1f6Ydrf0xCqD8WJ\nBydw6N4huDi6YFCjQRjcZDB6d+udePjw4Y9I/m7xL5IfxTXuym1TKpWLXn77ZUPFHyuy18pe3Hlj\nJ1ONT44dC4PRZGRwVDBXX1zNMXvGsMcfPeg1xYsBPwXwrXVvce6JuQwKD7Lq+rgF5dChQ3kmepo7\nl2zZUtpZzpwhvby0XLr0gFl1799PNmkiP0dHk66uZIeFvbgteFuu16hUZEKC/Fy27GP7SnZux9xm\n+RkVWLkyeTbNS92/Pzl/fv5yRUVFceLEWfT3J//+Wx57/XXp/s4NrVbLbdtyl9tc9Ho9jx49+tT1\nkOSdmDtccX4Fh2wawpq/1KRmoobtlrbjZzs+4+/nf+eliEvUG2R73bp1y7hu0qRJnDx5cpa6Xnzx\nRR46dChjv1OnTjx58mTGvslk4rH7x/j+xvdZZmoZfjT1I3p4eJxkcdhEi6PRXIUBhEKpeOQ1wov/\n3Pgn//+aBTCZTLwSeYWLTi/iexveY5Wfq9Bvuh8H/D2Ay88tZ2hCaIHrvHXrlsUUU3x8PIODg3M9\nbzSSnTuTP/wg92fNCqG//02zDLepqaSXF3nvntx/4QWy11e/cfLBybleo9GQcXHSpZyXUtl8bTNb\n//ARK1eWbuSUFNLNjcwU9pIrBgPZubOJo0bJ/dWryZo1ybyiCyIjI3kv/YsUE3HaOK6/sp4fbv6Q\nlWZWos80H/Zd3Zezjs3iudBzNBgNT1xjMploMBgyDLU6nY4NGzbk5Wxp9UaMGMGxY8eSJMPCwlih\nQgVG5/JPPhd6jjV/rEkHJ4dUAB78lyuVRi7eLqlnHz4OwLIkERERvHXrVr7lbj66yfkn57PPX33o\nPtmdjeY34neB3/Fs6FmzlMXSpUstIK353LtHennpMnoEn31GdusmFU5+DBpE/vij/LxwIdnihVt8\nc92buZZ3dSVjYvJXKpMOTmKrt3ZyxAi5v2kT2a6ded9nzBiyY0ep9MLDSVfXlTx8uPBpPQuD0Whk\nbGxsvuWuR1/nlENT2H5pe6onqtl1eVfOODKDF8Mv5nuv7Nq1K6NXtH37dtaoUYPVqlXjpEmTSJLz\n58/nggULSEql2atXLzZo0ID169fPN2gvLCGMmsoaI4A3+W9WKvYO9t+3eK3Fk+rcQpw8eTJLBKg5\npBpTuf/Ofo7YMYJVfq7CgJ8COHz7cO67vY9GU9He6H/88UeWiNV09uzZwzFjDrFePVKrlQ9j27Zk\n2r2ZJ9u3k61ayc8REaTaNZV1ZzbLtXzmoLOyZcmQkJzLvbXuLVaoHs2DB+X+wIHkzz/nL8+mTWSF\nClKZkHLY8/7713PMFazT6Thv3rz8Ky0EOp2Os2fPfuK4yWTihbALfGvKW3T2daa9tz1bDmzJLde2\nMFGX1SUdGBjIRo0asW7duuzQocMTdRkMhizBgpbm/e/ep6uX607+m5WK0k0ZMmm5GU9CMWEymRgU\nHsTx+8ez4byGLD+jPEfsGMFTD04VergTG0seOJA1MjU3EhISmJKSkotsMgw+fchw756MuM3PPKDX\nZx0Cte9goOObr1NnyFkgT08yXa+VK5e7Uqn2XXd6ldHTYJBteHqS9+/nLcvNm1LmI0fkfk7Dnsy/\ns8lkylHJZsdoJI8dk/UXluCoYH4X+B2rz6rOgB8D6FbWjWsPr2WKNiXHuJLY2FjWqVOHIWk/UKSl\nA2vM4HTwaTo4O+gBOPHfqFQAlHdUOKauPr/aIj9oUXAp4hK/3vM1q/5cldVnVWfX/3blrUf5D68y\nM2GC/C/4+ZHTp8sQenOIj4/n+fPnsxwLD5cBaYcPy/3168lKleRwJS8yD4HmzCFdm2/iudBzOZb1\n9pY9msDAwFyVSqIukY7dv+LgIfIt/M8/0picF3q9LJMux4MH8rukK5h0xo8f/8TUgdwwGuX8oJo1\n5W/ct69Zl2UQnhjOWcdmscWvLeg7zZfDtw/niZATPHLkCLt3755RLifD6ty5c/nNN9+Y1Y61bEFX\nI69SXV6tB9CZRfgsl6Tgt141WtUwnY6wzoJMK1assHiddcrUwfhO43H9f9fxe5/fUaVLFbRY1AKd\nl3fGyqCVSEnNPwHTBx/InK9vvCHzjdSuDaxenX9C6K+++uqJ+BcfH2DuXJmqMSkJePVV6ZL94IO8\n63v9ddkmAPTuDWgvd8LRO2dyLGtnB2ROUp9TvefCzsEpuB/6viZD9tetkyks82LcOBl2P3y4DOIb\nMAD473+BVq2ylhszZgwmT56cb6b8/ftlHM/cucCbb8pguW+/zVsGADCajNgavBWv/vkqavxSA0fv\nHkWnpE4IGRGCmd1nonn55nj48GGWWccVKlTAgwdZswYEBwfj0aNH6NixI5o3b57n/bdjx478BSsE\npx6egm9jXwelUvm6VRrIjaLUYHltHh4eB6fMn8KKP1akNlVrEU2dGWuG/GdGm6rlXxf/YrcV3eg5\nxZNDtwzN9a2fzrVrcigxfz65bx/ZoIGcgJdXdz2vsfiAAeSQIfJzSoqsb+HC3OtKHwLdvSv3qzQM\nYfdvc55GnDk0v0yZx7aPzIzbvIhOqiTqdNKT4+OT93fZv1/21NI9Q5MmyVnUOUShk3z83ZNy6NaF\nhcnvX7GiHD7t3Cl7V7t3594+Kd2/3+79lhV+rMAWv7bgr6d/ZbxWTkTMfu+sXbuWQ9J/YMoQ///9\n739ZygwbNoytWrViSkoKo6KiWL169SK7B9Pp8FsHTvt7GtVqdQTSYtKKYit2ZUL5qlM7ODjoYmNj\n2WtlL045NMVCP2vRcPfu3Ry75Hdj7/L7fd+zwo8V2HZJW64KWpWrreLGDbJKFfL77+XDNG2afNBn\nznzsxTEYDNy6desT12ZvOy6OrFaN/PNPuZ8+X+bSpdy/w6BB5IwZ8vPQ0Xfo3T7nYWhmj49GI21C\n2Wn54W9s0V0+QPv2kY0a5d7uo0ekv79Mx0BKG5CPz2MFl/k7Zran6PV6zkgXmNKmtGKFVHQjR8pY\nmvT9/ftzbttoMnL79e3s8UcPek7x5LCtw3g+7HzOhTNhTlzJ5MmTM1zAJPn+++9z7dq1+dZtKTZd\n3cSqP1elNlVLHx+fRAD1+S9TKr1btWoVR0qDmPdUb7P+uSWFFStW5LmSYaoxlesur2PH3zqy7PSy\n/Hbvt3wQ/6QvNjSUbNpUvmm1WtmDaduWbNOGvHpVGv+uXbuW5Rqj0cgJEyY8Udfp0/KBunFD7i9a\nRNarl3usx/bt5HPPyc+nzqZQuN1lsv5Jo3D58tKoGxgYSEdHKWd2VLWOcNqvsmvy3/+SEyfm3KbJ\nJO0cn3wi92NjycqVyXXrniw7a9asXFNDhIWRr74qJ1meOiXrHT+eDAiQqR2yE6+N5y/Hf2GNX2qw\n4byGXHxmMZP1eafY0Ov1GcrbnLiSK1eusEuXLjQYDExKSmK9evV4KQ+tfujQoadaDTMzkUmRrPhj\nRe65tYck2b9/f52Dg8M3/DcpFVdX11UzZ87MeA2tvLCSlWdWZmTS01vMo6OjreZ2LAwXwy9y6Jah\n9JjswQF/D3hiaJSUJB+01q3lw2I0yoRGXl7klCm5Dwly4uefpZLSauWD9p//kB99lHPZzEMgk4l0\n9HzAP3Y9qdirVJG5UPbsCaQQsmxmQiISCKd4RsfqqNPJOu/cybnNxYvJ+vXlEM1kIvv1k0qoIKxe\nTfr4GDhqlPye8fHka6+RzZs/OYP65qOb/GTbJ/Sc4sm+q/vywJ0DZnvtgoKCsiypml9cCUlOmzaN\nderUYf369ZlfsrHjx48/dQIvUg6/2y5py1G7RmUc27RpE93d3a/wX6ZUHpw7l/XhGrNnDBvNb8So\npPxdhnlhMpmozel1Wsw8Sn7EyQcns9yMcnxhxQvceWNnxg1uNJLffCPjNQ4dkmP6s2cfsVMn+bBc\nvZpznTqdLkuUZbqb+dNP5X56T2DTppyvHzRIeqBIsvaLe/nyx4efKFOvHnn+vOzxODs/Wcd3cy7Q\nve4xkjI1Q24Bb1evyiFZek9i6VLZ08jck9Jqtbn2TiIjpZKsUYOcMmUDz549yytXZBKpDz7I2oM6\n/fA0+63tR68pXhy1axTvxRZv5K210KZq2fvP3uy7um+WGKrk5GQ6OjrqASj4b1AqADQODg6p2e0C\nJpOJX+76kg3mNeDD+IIFrBUVkZGRDAwMfKo6tKlaLj27lHXn1GWDeQ34+/nfM+Y6bd4s7QtDhmyn\nXp9Kk0nO9fH2lsOZ7C/ZhIQELlu2LMux6Ghps0hXJPv3S7tITmETu3eTjRvLz5/8vJ0+da48UaZ5\ncxnzERMjw+6z07TnGXb87waSsseVk4FYp5NzjubOlfvpCiYoKGu5TZs25ehu3bhRfofPPnvsgv/7\nb1nHr7/KfZPJxF03d7HL8i70GuLFMv5lWLVa1SdsH5k5ceIEHRwcuC6n8VcJJ1GXyBdWvMA+f/XJ\n0dFRpUqVOADN+S9RKu3q1q2bYzy0yWTihP0TWOHHCjz54GRORfJEr9fnGixmCUJDQxmek/ujEJhM\nJm4N3sq2S9qy2qxqXHxmMfUGPW/dkg9g377SAEtKg2v9+jLa1JyUiocPS+WU/nyOHCnry66UDAbZ\nO7pwgTxz9wqFc/wT9bdvT+7dS65bF0hf3+zfgXT2iOTsbTsZGytD+nOS74svyJdfluW1WqnIzBmh\npqTIBE+VKj02vhoMMseuvz954oT8HTdc2cAmC5qw9uzaXHx6MatUrZJnAiRS2qY6derEnj175qlU\nMk/iszTnz5/PUbb8uBNzh80WNuPA9QNznXzbrVu3FAD/ZRE80yUhTqVp69atc1wPVAiBMe3GYFb3\nWXjxjxex9OzSdEVkFmfOnMHx48ctJmh2/Pz8LLa6nRACPar3wIF3D+DXl37FH0F/oNrMavgnej72\n7tfB01OmNggKkiv7nTghUw80bgwcPPhkfbdu3cpI9NS6tVzAq39/wGAAJkwALl8GVq3Keo29vUym\ntGIF0KhiTThUOYJV6x9lKePiAqSkAHr9k3lVzp03IVUkoE/b+li3Dujc+cmUj0eOyEXMFi2S6yh/\n+ilQpQrw4YfyvE6nw/nz55/4PlevyjWLIiOBs2dlOsyoKODFF4Hjx4GTJ4nzSYtQbXg1jN0/Fl8/\n/zUuDr2IOvo6qFG9Rp4JkADgl19+Qd++ffP9f4aGhhboHiwI/v7+ea5imRO7b+1Gy0Ut0a9uPyx9\nZSkc7HLOE/TCCy8oNBpNW0vImS9Fobny2tzc3DYuWrQoX20cFB7EenPr8bW/XntqO0tp4cMvPmS3\n5d1YfkZ5zjkxh4uXptLbO2sW+S1bZIzHt99mNeLGx8dz3759GftGo5yFPGaM3D91SnqHskfEXrok\nhxYGA9lg0Fw+3+t2lvONGi3ksmUxvHpV2jP++uuvjDSMn34dRtfn5fCrY8cnvThJSTL1Zbpnddky\nWUfmTJvnz5/n3Uz+ZJOJXLJEDm0WLHjcu9qzR3qivvjCxDUX1rPhvIZsPL8xF+9bnMX4ak5MyYMH\nDzLm5rz77rulYviTrE/myH9Gsuz0stx7a2++5Y8ePUp3d/cb/DcMfzQazcPsRtrcSElN4YgdI1h+\nRnn+ffnvYs17MmPGDKtOBsvMiZAT7LaiGyvPrMwJazayenUTBw16nNfk4UOZw7V1a/L27dzrCQuT\nD2J6atixY8nu3Z8cBjVrJkPrv1w7lw6KH/ngweN8Bf/5TyKXLTPx3Dk5BLt//36Gq7V64wes3L47\nb97U09NTDlcyM3y4zKlCkufOZTXU5kRcHPnmm9KAm25v0evJL78ky5UzccLS42w0vxGbLmjKTVc3\n5Xg/mKNUXn/9dR4/fpykVCpFGU9SGI6HHGet2bX4xpo3zPaQFqWxtlgVCgCNo6Oj3ty5HOnsu72P\ntWfXZs8/euY610ar1eaZ3OhpSUh/oouQfbf3sc3iNqw5oxk7vHqH1aubeOKEPGc0Ss9NmTLSzZqZ\nvXv3ZvwWBw8+jnDV66XLOXPipB07dvD//u8k33qLPHzvMBXlg7PMvxk8WPYY5swJZPPmj4/HxpIO\nimT+tH8Bp0yREb2JiYkZvZh9+2TUcFSUNPJWrUr+8Ye8VqvVcsOGDVlkPnlSlvngg8fG2Js3yRYt\nyFadHvG5n19m7dm1uf7K+ieUSUxMTMb/x5xAtcqVK7Ny5cqsVKkS1Wo1fX19uXHjxlz/D7t377aI\n+zcnDh06lGs8S1RSFD/c/CF9p/nyz6A/C1y3n59fEorAWFvcSqVdnTp18k9akQM6g46TDk6i1xQv\nfr3na8Zps2arv3jxYpZMWaWJI0eO5LpWjclk4rbgbWw0vxGrDBlNdy8dJ06UwxVSDmuqVJG9gvSZ\nz/Hx8bydqQvz888yyjUpSQ53vL0fB8mlpKQwIkIaWSMfaenYbhr/b9Rjb8Inn5A//UTOnBmYsSAZ\nSa5ZY6Ki5j5ejbzK+vWlITUiIoJ//vknExKkTJs2SeX38ssyM346MTExGV4ek0lOKsyuHH//nfTw\nSmW9dxay4o/+XHp2aY5Jj0gZ4ZyeBc6cQLXMmDP8CQkJsdqs44SEhCfc6HqDnnNOzGGZqWX4ybZP\nGJNSOIXWt2/fJBSBsba4lcpn/fr1e6ogkruxd/nO+nfoO82XPx/72SrzhrJjTY8SSR48eDDfoZ3R\nZOSfQX+y4ndt6FkriM1aJWaEtj96RL70ksyTklO6AZOJfOstGbmr16eyV6+pbNv2sWIi5fVLl5KN\nvhrGqpn0/qhRMkJ2xw455Ern9bfj6PrK1zx3zkR//6wJoj76SOZTSUpK4qRJMnI3p1QP6XK3bEmm\n59KKjyf79k+ia/mH9Pi0E386+hNTUgv2+5sTqJbOe++9V2JsKkaTkSsvrGS1WdXYaVmnp44ynz17\nNl1dXX/ns6xU3NzcNkxPj7Z6Ss6HnWePP3qw0sxKnHdyXoFvvILwQ3ruRjM4fFjGc9SsSfboId2p\n69blnoekoGhTtZx28EcqXxxHhVs8Fy6TCsBolBPz/PzIXbsel//tt98YHR3NpCQ50XD2bDIpKYXt\n28s1edJZs0YaW7/bPYHOquSMiYNjx8rAvDVryD595DGTiXT3SWSvX0bw88+lzSOdXbukmzomhvzo\no5/o66vl/ftkampqlijTc+dkb+aVV7azRo2arF69Ov87dDw9y0fRuflyjtj0DeO0cfzjjz/YoEED\nNmjQgG3atOGFCxcK/JvFxEgD99ixZO/e0jZkZ/c4xqW4MZqMXH9lPRvMa8CWv7bk7pv5zIY0k6Iy\n1ha3Url75swZi/xg6Ry+d5g9/+hJny99OP3wdCboit72kZlLl0ghpBF13jxy3DiyZ08Zvl6zphwG\nbNok38hPQ1RSFPv/PIN23jfYpPt5RjySSnXvXunNGT9eKpqEhATq9XqGhYXxxg1pXzl8WBp4M086\nTEmRiZXWHTlF14Z7mZ69cOpUGefyxReBHDhQHjt/nlT7hnH+8UX085MTGElpaPX3l4bh+/elgkuf\nLWwymTLsEsuXy7Z//10uqnUt+BZf/eAkYVeXjQaOymI3O3r0aEaax+3bt7NlHola0sPqU1Jkz2r4\ncKlA1GqZ13f0aGkfeuUV+SRkVr75cejQoUIptLzQGXRccmYJ/fr5sdEvjbjhygaLOiOSk5NpZ2dn\nAODAZ1WpODs7J5uTuaugGAwGTpo3iW+seYNeU7w48p+RBU6eZEmio8n/+z+ZinHwYPnQGY0y+/3k\nyfIGV6vJVq1i2Lv3Eh47lnUoUhDO3b3BgE476eB1h1NXHUxblVBOTOzRQ8qi1WqZ7sbfulV6hEJD\nH2fmT2/7ww/JceMNVLw8gv3elkpq9mw5nBk2LJAffyzLTZ5sorL1Ei5c+TAjNSUpv+vgwXKo89xz\nWScWBgYGUqeTwWzVq0vvztGjR9mgeWsqAy7Tte4Rvj304zwjYGNiYlihQoUcz924QX7xxRl2766n\nRiMnZU6YIKOB9Xqp5L76Sir3AQNyn5+UG4mJiRYz1kYlRXHqoaksP6M8uy7vyg3nNpidiKqgaDSa\nZADl+CwqFQAu9vb2Bmu7hW8+usmR/4yk1xQvvrzqZe66ueupcsuGmZMOPhciImRqA19fmS/lzz8f\n2xaSksgtW/QcNiye9eqlh+fLt7w5qSaz882cs7TXRLBKzzUMCrlOvV72MCpVkp4VkpwwYQJTU1M5\ndqzMX6LTyYjZ9Oxrhw/L3lS76YPp6ZuUkV7gzTflA5o+zGnTIZHegwaxd29TxhBi2zY5SzguTvbG\nXnpJKtL0Nlev3seWLQ189VXpOXoYF86qHT4jHAbwvW+O0mA05uj+zcy0adMy3MWpqbIX9MknUkn5\n+pLvvkv+9dfjqF6DQeZX6duX9PCQchVxipMsHA85zoHrB9J9sjvfWf8OTz88bfU2q1WrFgugGZ9R\npVLFw8PDzOSJT0+iLpHzT85n/bn1WeXnKhy3bxzvxt7N/8JszJkz56ll0WqlQunYUSqPTz4hjx/P\nGi9y86Z0EbdpIx+At96StpiCLPd7/6GODTpepX2Za3znlzm8H36ff/6pY5kycihmMEjlajTKIdnw\n4fIh8/KSf00mGZz28bxVVPtE8fJlOR+pRw+pUH74QSoiZ6WOveeMopubVCJxcdKOsmsX+dtvMrdL\n+kvdaDRy7145FJo8mUw1GPjduhV0qHSMnv6z2ef1dzPkz0up7N27l7Vr1+HatY84eLAcPjVrJpXd\n6dNZDcUXL0pbVrly0oU+e3bWgLuiJDo5mnNOzGHTBU1ZeWZlTj001SKz8c2lffv2sQBe4jOqVNrW\nq1evUO7k/MhrrGsymXgi5AQ/2vIRPad48oUVL3DlhZXFZnsJDpYGw2rVDKxa1chvv5V5VDLz8KFU\nAl27Slfvq69KO4Q5835Ict5v0VS4xdK59kAuOfAHg4OlbWHgwMcBaqGh2ozYkRkzyA4d5IM5bRrZ\n6/Vourb6kzNnyjiX1q3JV18N5KxZMmm3W+VgDvj8bIaN5eOPyffek4rS25s8e1ZHk8lEk0mmb0i3\nrRy6c4R+L31Be1UUvxj3kIcP5x9TotORc+acp0ZTje7uN9iypVS+2YP+wsNlgqsaNQ7SxyeIo0bl\nHWhXGJYtW2aWa1lv0HPT1U187a/X6DbJjf9Z8x9uC96Wq0ucJKdMsU6ishdeeCEFwAd8RpXK6927\nd7fK+2LNmjVmlUvWJ3PlhZXs/nt3uk5y5eurX+faS2vzTdhjDfbuDeSCBQc4fLh86Jo1k8OQ7DlB\nonzrtjkAACAASURBVKNlePurr0oF07MnuXJl/j2YsDCyXfcIOvldZ7sJI3n1wX2+8YacdXz7dion\nT57M8+elEjh1StpW5s2TQzY3NxNdX/ucnbonMiiIrFOH7No1kMuWkV9/m0rH52eyVp1U7t8vE1X7\n+UmDb4UKMv3BggULeOtWJPv0kcFrQcGxfHPxKDpVP8CK1Q9z9WoZzZpbTIlWK3tI77xDurndpUJR\njcOHH30iO9yjR/K36dVLetwGDCA3b05idLRV3l1MTExkai4JblKNqdx5YyeHbBrCMlPLsPXi1lxw\naoHZMSY5pcq0BKNHjzYB+J7PqFIZ/uabb1o34KMARCVFceGphey8rDPdJrmx39p+XBW0KstNEB4e\nbrV/Nvl4+YnUVDn2HzhQGnc7dpQBa9kfovSUid27y4forbekLSO3RE4mE7n8dz1VHglUdPiJ0/b9\nwomTjCxbVvY4SBlw5u8vvUbe3tKg+cYbZMM3NtJFk8I7d6Q3qVcvmYKgQYtHrPDSIlarJod1devK\nB7tVK2k/ImVvTOY5MXHl2XV0/8+nVLjG89txKU/Imjmm5IMPJnHwYFKpnM9q1RZw1iyyf//B9PT0\nZOPGjdmoUSM2atScCxbIeU0ajfTkLF/+eApDUaJN1XL79e18f+P79J7qzeYLm3PqoanF6iTIzty5\nc+nm5racz6JScXR0nDZ69GiL/mCWIiwhjPNPzmfPP3pSM1HDTss6cebRmZy3Yl6uS01ai+Rk+bZ/\n911p62jSRLqlg4Ky2mDCwshZs2QPw8dHGiGPHpVl1q9fn2XKQmgo2aVHPJXlbrP2V+/wlz+u08dH\nLs+RlJTMzz+P5HPPSbvJK69I24h/jRiqK9xmYCDp4iK9Sdu3k44KLet2vMgpU6TbukcP6fF5+WUt\nw8IiuHOnlGfyzEfsOnsQVXX3sVqdBJ7PJY7r6lU56TEgQCaEmjLlyQC++/elkm3XTirT//xHKsPi\nUCQhcSFceGohX1n1Cl0nubLVolacfng678TcKXphzGDDhg308vI6wGdRqXh4eKxbsmSJRX8wUhoC\ns6+H8zQk6hK54coGDtowiL7TfFltVjV+tOUj/n3570KHS2fH3CU2U1PJwEBpUA0IkHNjRo6U2eEy\nu6CvX5e9hBo1ZEDZJ5/cZ/Y0HSYT+fvvJrp6JlPZ6ScOWTSTdeoa+c478Vy2bCVff132UGrVkoFu\nlSobaFfxBL+foKODA1m+fCBnzCCdy12jxi2VBw5Ipff557K38vffOzh27D36+pr4ydy/qer9f1S6\nJfK771OZ3VsaHk6+/fYKNmmipZ8fOWKEXNQ9XWmaTOSVK1LBtGgh42cGDpTxPeYEN69Zs4Y3n2Yl\nsUwk6ZO488ZOjto1io3nN6aim4L91vbjivMrLGpwXbt2La/mluLvKTh+/DhdXV3v8FlUKl5eXid2\n7Nhh0R+MlOPcf/6xzuLuRpOR50LPcdrhaey2ohvVE9Vs+WtLfrX7K26/vv2J+Ufmcv/+fa7OPgsw\nH0wm+eB9+62MjPXxkT2EjRsfB9KZTNJ9/Omn0s7RtKnMd5u5sxUaSnbrmUJ1ufusOPQDtuv2iG3b\nyriNJk2kK7hcORme76iOYZO2EfT2Jh0cAtn7jUQKVQR79zaxXTtp3/Hzk72NIUPIGrW1rDdiBF1r\nnGHDpklZsvknJ0sPWM+esrfx2mth3Lw5JUM5JiXJGJqPP5YpMCtUkHEzO3fyCaWUHykpKbnaPvJD\nm6rlobuHOG7fOLZf2p6qH1Rss7gNv9n7Dfff2c/4xKeMWswFvV5vsUTYmbl//z6VSmUMn0WlotFo\nQizZoygKbqTPuksjJTWFe27t4dd7vs644RrNb8T/bfsf/7r4F+/H3S+y9Aw3b0qvTZcuMpCuY0f5\nZj93TnpdDAaZzqBfP/kQv/66tL8YDFL5rF1roqdPEhUtfmfjlw7TP8DEBQuu0tc3guXLP446BaTN\nBSD9KkcTkHW5uZGenlpOnnySzz9vYt3Wt+nSeRpVbsn88SdjRjtHj5Lvvy/d5F27ZrV/3Lwpld6L\nL8rv0K6ddDtfuPBkegZrEZ4YzvVX1vPznZ+z9eLWVP6gZOP5jTlixwhuDd6asRZQaUWv19POzs4I\nwJ5WerYFaZ0sVvnh4uKSeOfOHZWvr2+xtF8Yli9fjnfeeSfX83qjHqcfnsahe4dw8N5BHAs5Bns7\nezQr1wzNyzVH83LN0axcM5RRlbGqnImJwL59wI4dwMqV4+Di8i26dwe6dwe6dJFl/voLWLoUCAkB\n3nkHeP99oEwZ4NP/S8af67RwqHgG9veb4KWeV7F6dWvo9YCnlwGPorNmFhOCEELAZAIGDLiKXXsc\nofN8BF2sOxpVLYffl6rg5iazyS1aBGi1wODBcgVCLy/g0CFg2za5xcTITG49egBduwLu7lb9mRCr\njcWZ0DM4/fA0ToeexqmHpxCVHIVWFVuhdYXWaOPfBi3Kt4DaqWDZ2Eo6arVam5SUFEAywhr1F5tS\ncXZ2TomIiFC4ublZtN579+5BqVQ+sSRocUAS9+Pv4+SDkzj58CROPTyFUw9PwdXZFfV966O+j9zK\n2ZVDm9pt4GTvZHEZjEYjbt+2x44dUskcOADUr48MJePiAvz2m3zo69QBhgwB/PyAgR/E4WG4DqZE\nH9SqTVy9IvD228TKtQmoW8cet66dQFJSx4x2KlcmQh4aYXB8BJWTErN/VMLf3w6LFgFbt8rlV4cM\nkUuz7tkD7NollyatXVsqkR49gNDQrQgIqIgGDRpY9jcwGfH5t5+j7VttcSniEoIignA69DQikiLQ\nyK8RmpZtiqZlm6JJ2SaoXaY27IT5WVZXrVqFFi1aoGrVqhaV2WAwYPr06fjyyy8tWi8AqNVqXVJS\nUjWSIRavHGYoFSHEYgC9AISTbJB2rDmAOQAcAaQCGEryVNq50QAGATAAGE5yZ9rxXgB+AHCc5AdO\nTk76mJgYR5VKZdEvdObMGXh7e8Pf39+i9VoKE024E3sHQeFBuBB+AUERQTiw5gDiGsahqkdV1PKu\nhRpeNbJs3krLKUjt/7d33uFRFd0f/94kJJvNpkASIAEEpDcRkA6KKCj8VKQoiqiIvb2+NlBfFRAQ\n6SodAWkiTaSpFCGhE2rooQSSQBokIdnN9t37/f0x2fSe3WyA/TzPPNl79+7M3M2ds2fOnDnHIGLa\n2oRMcjLQqxfQvbvQcPbtA06cEPmVk1L02LjeG9UCktH74T1IS3wU56M94amwwqI7Cvo1RmZcXQBb\nAYhkyT16Z6JLexU2bgQUCuCZZ4SQOnFCCBJ3d6GFPP64iGEbnEtpM5vNcHNzg7u7e7nuLcOQgStp\nV3A57TKupF1BVEoUzt06h4spF1FLUQttQtugdc3WaBXcCu1D2qNpYFO4u5Wvrdx9dnd3h5ub/cM9\nm0wmeHra/4cmKChIm5qa2ppkTGHvS5L0JIAfAbgBWExysiRJDQGsBqABMJhkRlH1l0ao9ACQCWB5\nLqESBmASyR2SJPUDMIrko5IktQTwG4COAOoC+BdAE5KUJGk1gGEAxgJYLUnSab1e7+6VP3pyFcVi\nseD69eto2LChQ+rXm/WISonCpdRLoqSJvxdTLsLdzR33V78fDQIa4D6/+qjvXx8NqtdHg4AGqO9f\nH35efpAkqUCdpXngb9wAwsJyil4PNGwIXLsmBM6bbxJ7Tybi8o1Y+FlrIP1Wszyfd/dQw2pRA6gL\nPz9CrZYQEAA0bgzodEBCAvDoo0KI9OkjzhfS1VKhNqoRlxGH6xnXxV/1dcRmxCI6LRqX0y5Db9aj\ncY3GaBLYBI2rN0bTwKZoXbM1WgS3uOumMBUhJCQkMykpqR3JK/nfkyTJDcAlAI8BSABwBGLcjgQw\nG8D9AFqSnFNU/YWH3s4Fyf2SJNXPdzoRgG3eEgDAlvL+GQCrSVoAxEiSdBlAJwARACQAngCUAMwk\n3apVq1ZS81UGvV6PyMjIMgkVnQ44dw64fBmIjxcDLD1daAQajSg5r71hMLSDLLcDCcgysv4SJHBc\nBo4xZzRK7mZI7mbI7gZIHklwr2aFRzUZnl6El6cEb4UEo2Ytgmr1RYB/CPx9PVDdzwM1ArwQ4OsB\nlUqCSgX4+gL+/sCrrwIffSTsGidPAsePA7t3A6tXS3j66VCoPKrj+GHvPPf3yGMG7NnlB8APAKBW\nS5AkEb2/Rw+gfXugQQNxfxkZIhPA/v3iO8jIAG5nWJChMUKtM0OjtSAz669WL0OvIwxGCSaDG8wm\nD1hN1UCzFyQ2hoSmACVI2ckgJCDruzlDCaezfie9vMT0TqkUf3O/VirFfQcHi1KvHtCokZgC1qhR\n3qfkzsDd3Z0oeux3AnCZZCwAZCkDAyBmHqqsYiqu/hKFShF8AeCAJEnTIYRFt6zzdQAcynVdfNY5\nAPgFwH4AuwBES5IkOUJlPHv2LJo0aQJ7a0C+vr4YOHBgqa41mYAnngAOHRI2g2bNgLp1xYPbpo0Y\nyLYB7esLGAzJaNiwFhQKwM1NFEmy/ZXyHQthYzZXg9FYDUajEmkaLeLTbyE+LQWJ6WlIUqfhZkYG\nbqllZOj+RFqmETGZFmRmAplJAIwqeMmB8LD4w80UAMkYABr8IBt8YdWpYNL5wGLwQuMep9B/xHYk\nnGkKY1JjSG6tQNkdwFwg5Gc8MeZVNBsUioXvv5p9714qHXbs8sA/29xRTalDNaUWbt6ZcPPWQFKk\nQ/ZMh9kzBSaPm6CnGkqlBB+lO1Q13eHn4wnDqYPoOvhZBPv5onZ1f4QEVEdo9eqoH1QLtQNU8PQU\nwkOSckphx7b/g04ntK/p0ydgxIivodfnnEtPB27eFGXnTmD+fPEjoNEAf/4JPPtsyf/ro0ePIi0t\nDU888UQpn6TSM2HCBHz99dd2r9doNLqj6LFfB8D1XMfxEIJmMsQsJB1CcymS8gqVxQA+JLlRkqQh\nAJYA6FPcB0j+C+AhAJAkKc9ENjw8HADQq1evCh8nJibixo0bUCgUdqmvvMeXLwPu7r0QFAQYDOFI\nTwfatOmFwEDg2rVw+PoCrVr1gpcXMHbsJAwY8Cwef7wXPDxKrn/PnpxjlQo4deooZBkY1L0XdDpg\n165wGNxqo3VPcXzoUDiMRqBhQ3F84uROqHUm+Ad2hVpjxZXL+6DNTIZUvQc0agm3b+2CEZ6oZm2M\n2jX8cCXlHEz6W/Cp3gCZqX4AzgC3k/DV4q/wSufptv8iAMCg6QU3dxm+Advg7WNBUO0u8PXzhdlw\nGj4qoGmzhxEU4ImM1Aj4+nigfftHoVAAly6Fw8sLuP/xEWjQoC5OnQqHJ4He7brC2xs4fDgciW5l\n/5888kgvGI1ArVr+uHQpHA8+2AtKJbB/fzgyM4GQkF6QZeDyZXG9t3cvaDTi/YCAkusPDQ2Fu7u7\nQ56hhIQE2LBn/VlT5TL9opOMB9CrNNeWavUna/qzJZdNRU3SL9f76SQDJEn6QrTPyVnntwEYQ7JA\nRi9JkmSr1eoQbcURmM1mxMfHo0GDBqX+THw8cOoUcOVKzvQnLU1MMW7fBrRawGgUv6hGoygA4Okp\nVHdPT/HLK8uA1Vp4kWVxjbs74OEB+PgI1V6o+Wb4+LjDx8cNSmXe92zHPj5iGuDvL5ZwTSZhVD12\nTPxNSRH2kKSbFkQcyvkNcnPbjZCeZiQe7AXZnKMV1q0rkn61by8SnXl6Amq1+PVXq/O+1miE4dhg\nEJpDcX8NBqBaNXGPQMmaiiSJ71OvF33IP/3x9hb3W7OmmP7UrSvsPa1bi+Rm5bX73AmEhIRokpKS\nOpO8kP89SZK6ABhL8sms4zxjujSUVlORsoqNy5IkPUJyjyRJjwG4nHV+M4DfJEmaCaFGNYYw9BSs\nUJJki8Xi7gjrtiOwWCw4duxYmYRKnTqilAWrNa+gIYXAcHMTfwsrRQ2A9es34YEHHkDTpk2LbE+t\nFsvMu3YJG0psrBhYCQni9RtvABeupeN4dDx8AhXQpoqlU1nujfg9gJuHFsKOHwhvb2H41emEoXfq\nVDFYe/cWKz0DBgjhVR5I8X1YrTYXPFFs7+V/TYrVJ4VCfEcu8iBBrNoWxlEAjbMUiUQALwB4sUyV\nl2L1ZxWE2hMIIBnAGACnAcyFMLwaIJaUT2Zd/yWA17M6nb2knJ9q1aqZ0tPT7b6kHBsbC5VKhcDA\nQLvW60iSk5NRWU6AsgxERuYsKZ88CXTqJFZoPDyEdrJjh7AJZWYS//wDuAVeReeOO5AZ/xSu3FDB\n08MDtHjCrLwO3Y3aAP4E8DIAoH9/GSEhbvjzT1Fvu3ZiYO/dK9KTtmqVI2S6dxfv2YiOjsbVq1fR\np0+xM+lysWPHDvTt29fu9V6/fh3+/v7w8/Mr+eIyQBIajcbu9QJAcHCwNiUlpaQl5Z+Qs6T8Q5ka\ncJSrbknF09NTX5pNdGUlMjIyT46bO4G5c+c6tP5bt0TMlZdfFnuEmjUTmxL/+UdsPpw0SURna91a\n7P7duZNs+6CFyqBbhGRhrRAzAfKNNy2UfBPYsYuBQUG7mVsvqFXbQoCs5pfK+xuZ+ddfIsVHjx4i\ntONnn4m9Srt3i13IXbqIUAVPPSVi4167JvZtOeKZIOmwHFB79+5lfHy83evVarUOey5UKpUeQF06\naGw7Tah4eXlpk215H+4QLl265OwulAqLRQRL+vZbsn37NPr5iQRec+eK/TVarYjw1rev2IPzxhsi\nILRWK8IuBgab6ddhC738bvLZQUfo4yOeFC9vcy5BEkaAlCQ5+9wLL1ym0v8qFS23s2aIgW++KcJI\nRkWJDYm1a4uocYsWiXCOqaliU+HLL4vkYS1bCuGze3f54vK6KB0+Pj56ALXooLHtNCupp6dnxs2b\nDtl64DCOHCnUPFQlSE0Fli8Hhg4Vhse33xZGym7dViIpyYqNG8XUY+JEYedZsQJ47TVhQP7lF2E0\nfuAB4NDZeOhaz4EU+ygmfJOEQwdqITRUeN2ajMJ4I7xge6FmqAGkhCeeAEJCgB07auHz/95AkL4b\n1KF/4tzNc2jVijh3DvjhByAuDhg9GtiyRSyvv/++WFJfsgRIShJ7kXx8gC++EAbUwYOBxYuFfceF\nfbBYLNDr9Z4AUh3WiKOkVUklMDDw2I4dO+wrginST9g7H4ujMZvNTMgfN7IUxMSI6cqjj4qpxLPP\nCi0gd6Ky6GhyzBgRPqBVK5G3J7e2np4uNJV69WQO/W4NlR1/Z5OWmYyKErFLBg0SU6Z33zdR8rvB\n7g8bqVKJ9p55RqabXwL7PZvOVq1E/JV69UTsk0cez6Sq2WH2+mImmzWzcuDAvO3euiUCUHfpIqZH\nw4ef5dSpG7J3IycniwhyQ4cKberBB8mvvxZpTcq6Yzk6OrrYVKcV4Ywtc7yd0Wq1NBjsn20zPj6e\nSqUynQ4c207TVGRZvpHggJ8gDw8PXL9+veQLqxjbtm0r8RpSeKWOHw906CDKyZPCEzYpSThsvf66\n+PVfvBh4+GGgSxexjL1unfjs558DoaGivu3bhTOeFSY0+egD/L2sBXoE98O4r3di4kShTVy7JrSM\n9RsNqF4nFb0f8YReD9SoEY4HH5RQK9SE3Ts9MXmy2Dc0eDAwYgQw6uMIDH+sLo4uGQYOehn1Gmeg\nbVtg4UJhLA4KEprKoUPicw0btsCcOU+jVSvg+++FlvXKK8Dq1cI5bdYssfozZIjwfP3sM+DgQVFX\nSbi5uaGGg9xko6KiHFJveHg4YmJi7F5vQkICPDw8ity3YxccKbGKK56enjOqajjJooiJiWFmWXJk\n2AGLRUSw//RTEemtfn1hZA0LyxuLVqsVEdqGDBGxTQYOFGEojUYyJSWFl3MluMnIENrJffeRS9Zf\nZ73/vkifGrc57jsz09LS+fXXcWzXToStfOwxYbhV3XeZDVqkceNGEXmtdeswbthAqnwt9G67lT/+\naOUHH4iIbEOGkC+/rGZMTCxXrpTpE6BlwCuvc8WOSHbuLHILXS0kbKssiyh2b78t2njkEaF55bbd\nyrJIkfrtt0LzCg0VgZx27So6Nq+LHDZv3swaNWocoAPHttOECoCPX331VcdnU7cjERERdgtLWByy\nLHLXfPKJGDRt2ohBlDvEIilCKW7YkBN4qU8fkQ84f9JHk8mUHQ1vxw4hTN58k9x8KpyqZ7+gbw0t\n//5bXPvPPyKwdXh4Tv6fZwZn0vvxSfT1lXnhgkhI9n//J8I5tmtH1n5mFhs00VCtFkJvwwYx4OfN\nE3UeO0YGh+io7D2di48u59SpIqj2ggXifi4XktHLYBB5jgYOzElL8ttvBfP1REWJzIcdOog6R44U\nwacclODvjmf+/Pn09/f/jXepUBnav39/h4TRioiIcES1DiU9PZ0HDtzg+PEiLmzDhmLpNb8pwGAQ\ng3n48JxI+/Pni1QaxZGRQb71lhAo27eTs/YvoqL9Gt7fTMOoKDN//PFHXr4sVmH27hV5f6ZMEQJK\nodLzkQ+X8cknhU2jbVsRuX/5crFa8+Qbh6iqncQjR4RQathQCMDgYKF5LFmyhBcvprFTj0x6N9vL\nD9aN5anTFnboQPbta+XPP68stu9paSIp2f/9n7DlPP20aDt/1tGYGJHWxGan+e9/yT170vj33/+U\n4z9SMjExMaXK+1MeHJEOmCS//fZb2c3NbTzvUqHy8AMPPOAQpwRbYu47gZs3RQjFhx5Kp5/f33z/\nfZFuNL9G8tdfYmpRvbpIUTp7togvWxp27hQaxOuvk7dSTBy59Dt61T3Lpwaps/MFxcens3VrEVF/\n7lwxMC0W8scfZfo+tJkDX07k1Kli2tWzJ/nMM2GcNUskPu/S3USvxyfwzbeF4jl8OPnxx6LPoaHk\n5csiP47ZTH74sY5egYnsMeG/TNWoOW6cED7Ll5fOAHv7tkhL8swzQsD07y/8YfInObh0ifzmG7Je\nvXQ2bx7PqVPzGortwYEDB/JkKbAnP//8s0Pq7d+/vx7AO7xLhUrjykx7ai9OnDhR4TpssVpfeklo\nG8OGiQGYW2VPTBT2BFvSsO7dRca93Cs7JaFWC/tEvXpCg7iefJ33PfY4Pf1TOXGKNk+0+hdfFELr\n2jUxjTh/Xpxv1DyTdT94hQ0byjx9WgTWfuop8vnnw/jDDyKJmY8P2WfaR/Tx19NgECs7tWuLe5ww\nQeQAyr2QsXqtiQo/NesOG8N4dTyPHxfTpWefFalGSktGhnDqGzhQCJgnnhBTrtzJ1q1Wcs8eMS0K\nCBDXrF59706PevbsmQ5gAO9SoeLj7u5urqzA0Pbizz//LPdndTrxq9qhg0idMX16TupSmx1l3DiR\nNTAgQCzRrlghBmlZCQsT2snIkcLQeSMjniEDZ1IRcJs7/xUWzfHjx9NsNnPmTGEb0WpF4nhbxs3j\nx0lVzVv85Lf5DA1lngTtY8YITYAUBtWxCyPo1/wobckh164VnrtarRj0b7/NPG1u2nSKfsFL6NN5\nNY/GnKXBIPIM1apFljLBZB40GiEsXnpJCMWWLYVx+99/cxzpbE5/vXoJu9HYsWLp+l6iadOm6QA6\n8W4UKqRw1U8rbULgMiDLMvfaUu5VAXQ6ERU+OFhEiv/rL/ELmpAgHvLXXxfThEaNZA4atIO7d5f/\nl9RoFN6rISGiHZI8cvUClW23sm7zeMbGCiFusVhotVq5Z4/wQ7l6VdhmOnXKWUV59wMDvR77gROn\nZfC118S5OXPId94ROZY/+UScGz+e/M9HVvq/+AEf6ZNjJhs6VFyjVpMtWpALFzJP2gmNhuzyZAw9\n6kRy5R7hRn/okMhX9OKLBac0pcViEXmcX3xxM9u0iaKfn8gGMH++8NuRZZGM7a23xHTy448LGrdL\n4vbt24yMjCxfB0vg1q1bDvFRIcmAgAAtHOiiT2cLFX9//+uOStPx77//OqTeshIdLQa4zT19zhwx\nzWjWTDzQAweKzIK2vFH79u0rd1tRUUILeuqpnF/gZTuO0b1mFB8eeIl6PWk0Gmm1Wrlt2zZu3nyI\noaHCLhITI37hbbl5TCbSt4aWT/z0Pp96SmgBZI4w+e9/w7K1j6NHhXH50y3f0kulzc7/fOuWuPd9\n+0TfgoPJbdtyJIVer6csk+9/c5luqmR+NncnSaFRfPQRWaeOWK0qL2q1mrIs8+ZNcuVKocWEhAgB\n/vzzQlNctkzYZzw9xdaG0hIbG+uwbRsrV66kxgHpFg0GA93d3S0AqvFuFSoBAQF/z5w5057fW6Ww\ne/fuUl+7a5f4lgMDRUrSkSPFUmpkZN6sghVBloUWEBQkjKyyLMq7449S8rnFTyfneH0uXLiQN2/e\npNEobB0TJohrH39cbCy0sXmzTJ/7T3LLuR309c35JR83Tni2fvFFGIcPF+esVqHt7I28Tq+HVnLi\nDzkbdzZuFJsVMzPJZcuSWKPGKiYmCi/iybZ5Fsnlm6/R3T+Rj40Mp8UitKl//xUCYNQo++0FkmUh\n6JcuFalhH35YCBpA2KzuZo4ePUp/f/8YOnhcO1WoAPh8xIgRd9zWsbCwMGd3IZuUFKHttG2bo2Vo\nNORDT1ygR60org8v3D39vffEL7TVSo4Zc4bNm0fkcR577KlUBj73FXf+a2WnTjnnv/iCnDiRXL9e\ntGvj5ZeFFtbl689Zp1FanpWc4cPJDz8Ur8eOFUbnwoTEyUtJVDY6zvodzjMhUUyTbt4US8kdO5L5\ncrkVy522WbUyyPJRWUMHj2tnh107fuLECb0jKo6Li8O5c+ccUXV2iD5HsXfvXhw+fLjE6/79F2jb\nVkQqi4gQQZtPnSIatEzBxYwzOH1CgcGPtIDRaERycnL255YvFzFZly8XQZVmz26Fn36qlR1V7fZt\nYO9uBd4bEYSdO9zw5JM5bep0OVHjMjNzzvfrB/zzD/DlSw8jRa3FiRPi/I4dOzBs2H5s2CASnH3z\nDVC9OvDll7nr1CElJQUPNqmFmJMNYa19BI1apWPbdguCg8UGxJdfFlsOVq4s+fszm834888/EtVZ\nbAAAIABJREFUS76wnFy7dg0nT550SN0ajQaJiYkOqfvQoUP6jIyMfQ6pPDeOllrFFQABnp6eJou9\n5gG50Gg0d9zGQhsWi4U6na7I9w0G4XSW2+Ygy+S8+VZ6+2l434gvmaTJWZvdvn07Y2NjSQrntaAg\n8uxZ8Zm+fYXmkZvBz82gR4vlTNQksm1b4Tdj4803hcHz55/D2K1bzvmUFLGsq8k00/eRrzn0tbya\nwl9/Cac4tVoYYOvXF1MjUtg+VtuMNhRJ0Dt9+SW9qqfw89GmbKN1ZKSw3QwfXtCztjKJjY2lIxYY\nSOGy4KhNiiEhIVoAXXk3T39IwsfH5+bZs2ft981VEuvWraPRCUE/rl4VxtgBA3KWmjMyyKFDraxe\nP44PTniBt/W3C/3s7dtiYNvG78KFoq78e2YatIllz9GTmZBA+vtbuGjRr9k5oYcPF8bNhQvD2Lat\nEIC2/1+XLuTatTc54LM36eWrYf4FjJEjxcoRKVZ5atYUfjGFYbKYOGTJe6ze+hA7djZn+55otWLV\nplEj8siR0n9v9zoGg4EeHh5mAEre7UIlICDgr2XLltnv26sk4uLiqNU61nfv/PnzzK3Fbd0qBuLM\nmTnepydOkI0aW9ngsW18fPHTzDQKF1mDwZBnu4Isk4MHC+MkKTxObRpLbi5estBNlcJ9Vw9z6VJy\n0CA5W8shyWefNfKFFybw4kVhgDUajdyYpXKMGyeWZxM1ifS4fw9/XZV3F0Z6utgmYNOupk8XS9i5\nZfOFCxeyvVStspUfbv2IoYNmMCjIyvXrc65bt06sJk2ZktcT97fffiv193svcfToUQYEBMSwEsa0\n04WKJEmfv/feew75yY+KirKLB6yziIyMZFRUFC0W8quvyLp1xV4aUqwcTZlCBgXJbPPeRA5ZO4RG\nS87XGBUVlUcYzJ0rYpLo9WK5uFMnsZSdnxfej2LN3r9TlmW++KLQZnLTr58QbjduiFWT3Bw5IqYn\nJNntgwVs2aPgkqttQ2N6uhAGzzwj9ujYUKvVPHToUPaxLMscvXM0G416kfUbWvjuu8LvhyRjY8V9\nDB4splWyLDPKtjbvIObOneswH5Lbt2/z4sWLDql73rx5lWKkZVUQKgB6t23b1iF7gDIzMxmT22fb\nATjaIzg5WXi5PvZYju/J1ati/02PnhZ2mzaMw/4YRrO16H3/kZFCK7E9r998I9zV83ddlknv4Hh+\n9/tftFjEZ3LJJZLCe3b3bnLLljD6+eV9z2oV2sPVq2T4hROUFBm8mVLQi++dd5i9HJ2WJnY9b9hQ\n9HcgyzLHhI1h06kd+cwgHdu0IW3uTQaDmA61aCGCQzkaR9lSSBGu9IKDbuLxxx83APiA94hQCfDw\n8DA7wljraG7fvu2wjV+k0Erq1iW/+kqmyWSlLJOLF4vBPmGSgY8s6c1X/nyFFqv47gwGA9euXZun\nDo1GeKiuzNoIfOCAcIUvLNDc8i3RdK95kXqTgfv2iZAL+enUSdhDduwIo4dHwfdtS8skGdhuD9+d\nUHDHeGam0GhsfYqIEMIof1SJbdu25dmwN3HvRDb+qQmnzU4V38GEHHvQhAmXGBxcvHC6l2nSpElG\nZRhpWRWECkmoVKrEO9FYS4pYJY5g1ixhP9m6lbx48SLnzVvFZ54R/iiHjmWy55KeHLlxZLZAIUUI\nwhv5dhy+8gqzXewzMoSh1rbqkp+W/cLY+3XhifzZZzl7e3Jj0xKsVlKSCr6/apXw6CXJT6ZH0L91\n4W6qtlUomyD58UfyoYfybjxUq9UFwmxOPzidDX9syAOnr7NPH+G/EhGRzk2bNjEiQkytvvrKfo6F\nuXFUpH9HYzAYWK1atUox0rKqCBV/f/8/5tki+tiZzMxMLliwwCF1OwKLRbiot2iREx1t40ayVi2Z\nX3xB3spQs9vibnxz85u0ytZi61q6VNRjC2/w6qtiSbgwEjKSKamSeCjyFmWZbNJEBFfKT6NGwshL\nCqFizdcF29KyXk9mqC2UFBn859TRQtu0xT4xm8XUa+DAHCe54vjp8E+8/6f7GZd+nfPmCeE0dar4\n7pKTRYyZvn1zNmvag9TUVC5ZssR+Febj8OHDTCrLFu0ysGvXLvr7+19mJY1npwsUUgRs6tWrl8M8\nDxw5DyZF5DJ72Fa0WrH9v1cvMSBu3RK2h/vvF1MhrUnLh399mG9tfitboFitVk6bNq1AXRcuiMFm\nc3lYu1YIiqK2lAyftphB9wsDyvnzYtpV2C3VqUPGxQmv4mrVCveM7dmT3LJFvH7wsSi2f7NwoW61\nCtuOTSOyLXkXpkktWLAgj6Yw9cBUNpraiHFpcYyOFrae7t2FwDObyf/8RwjUOyUF1IkTJ+goE8DQ\noUPN1apVm8B7TKj4V6tWzeSITVSVwe7du3n9+vUK1ZGcLOwVw4eLKcDy5cL28cknQhDozXr2Wd6H\n7V9uT50+r2Nc/ri5Oh35wANijxFJXr8uplJFBcTTGDVUdF3Mz74Rji+TJgk3/sIICRErP2FhYVQo\nhCDMz8yZOVOuVWt1rNZoLy+lFL75LjFRxF7Zs0cc22w++QNQabXaPDucSXLQF4PYdHJTJmcm02oV\nmQUCA0X/jUYxpQoNFVHo7mXq1KmjAdCB95JQIYnq1atHbHCglc1Ry4D24Pp1Ma345huxUtOrl1j+\nPZo1azBajHx61dN8bu1z1Bv1JItfdfrgA7ELV5aFNvDYYyI8QVFM3/8jvfxvZ++t6dJFhJwsjNq1\nc4y8KpVYys2PLdCT2SymQQqVji8t/azI9rduFbYQm0L5v/+JiG5F3WLue/9297dsM7cNb2mFQIyO\nFsveLVqIVap164RArYij3LZt28r/YScTFRVFpVJ5G1kpjiujOF2Y2IokSR8OGzbMYd5kE/P7olcR\n0tPFSsgHH4il0Zo1hU+JbVXDbDXzubXP8elVT+fxQ5k4cSL1en2B+nbuFFMXW/zWCRNE6tGiIs2b\nLCYGv/s8m7UW2k5CgggQVZSzcM2aOdHZAgKKtlu0by8GNUk+P0xP76dHM15ddDzHDz8UUfhlWfjR\ndOiQEzg7NxaLhZ9++mm21mLzY2m/oD0zDBlZ50TQ7AYNhNF44kTR7/LGLD+Qe5+CA5g1a5bD6h47\ndqysUql+ZSWOZacLk+yOAA1UKpX+TlxatrF48WKay5gnYtIk8V+oUUOsWuQOTCTLMkdsHME+y/tQ\nb84rQEwmE8fnUz9u3xahI21axu7dQrMoLgTl8sjlDO29MTvswYIFIrhSUQQFiZ3DYWFh2a8LY/z4\nHKPr33+TIS2i+dn2orUVvV7kcl60SBzbbEL5fcH27dvHc7bt2FnIssx3trzDR359JM/3ZDCIqVjt\n2uI7fv75ou/LmTgqeDZJNmvWLBNAP96LQoUkVCrVdUf/KjiS5OTkMguVxEThW1HYauWoHaPYZVGX\nPK73xdX/yivku++K1wkJwv6xc2fRbVusFjb/uRUDAg3ZU5/+/cWycFHUqCFWeMLCwvJMhfJz7lyO\nsddkImsEWug3ug3TdEUbzc+eFYLE5tg2e7ZYMi5u1d62VcJitXDouqF8dvWzBRwBjUaxobGsgdoc\n5S5QWdy6dYteXl56AAreq0LFy8tr0meffeaw/2RcXJzDV4LsxfSD09lidgumaHPiHC5durTQZUeL\nxcIZMyLZqJFYPjabRfChsWOLb2P1mdVs8dl7bN9e2Cg0GmEnyZ/6IjcBATnalG0lqDBkWTjd2WwZ\nb7xBPjTiN44LH1dsn1asEHuKbt8WdTz5JPmf/0Rzj82Smwuj0cgZM2bkHFuM7LuiL1/b+JpdVuPy\na4L2xmq1FrsbvaIsW7aM1atX38FKHsdOFyR5OgN0uu+++xySC4gkb9y4wcOHDzuq+mwqGmZweeRy\n1ptRj3HpRYzYfCQlyQwI+DN7X9CXX4rEYsXNJK2yla3mtOL/DYvJnvqsWyciwBWHv3+O0Klfv/gl\n29GjRV9IscTcqbuWgZMDi9xFbeP998UubFsc36CgOO7bV7rfmkxjJrss6sLPd3xequudyZEjR7hr\n1y6H1d+jRw8tgBG8x4WKm7e3d7qjNlVVFps2bSq39+Xfl/5mram1eO6msBsYDIZil6ttTmOjRonj\nrVvJOnWsJSYXW3duHR+a35k1a8rZU58hQ3KWoYvC11d45oaFheVxhCuMiAgRi5cUy9x+fuTzy97h\n2LDiVSijkezYUcuxY8W0b906YcwuxC6dTXp6erZLf6oulS1mt+DPhx23haKqYzAY6OnpaQIQzHtZ\nqJCESqVa+cUXXxTvKnqXcjzhOIOmBPFgXI5r++7du/PsNs7PypXCwGkwiODVNWuSH330U7HTPKts\nZZu5bThtzX62bi3OZWSIQV9SVHkfHzFNCgsLY8OGxYd4tFrFFMmWZXHAAHLavMRSaStz5qxmcHAy\nbfHLBw0SS81FoVar+ccff2QfX7t9jaHTQ7nxQhF7EorAYrFw+fLlZfpMVWTr1q0MCAg4Q2coB85o\ntNgOAd3q1Kmjye/oZE+WLl3qMO/F3JRlXh+XHsc60+tw/bn1JV+cxe3bYmUjIkJoAg89ROZ3ri2s\nD3+c/4MdFnTg//4nc/RocW758pw9O8Xh7Z3j8Fa3bsFdzPn5z39EjiBSrOw8/zz56p+vckzYmALX\nqvM5vezaJe4vLk5Mg4KDy+bIdjT+KIOnBDPiRunT4JpMJsYVZSiyI+Hh4Q6tv0+fPhpJkt6gS6gQ\nACQ/P78rOyqSm6EEbty4USmW/V27dhVqYMyP2qDmA/Me4JT9U0gK1XW/zUBSDP/5jzCAyrJI0v7S\nSwUdxk6fPs31uaIbWawWtpzTklsubmG7diJvMikcxkoT38jbO2cvUWGer/mJiBCOfbIs/Fv8/cnz\niVcYODkwz0qQWq3m/PnzC3x+8mThaazXi+TznToV3G+Un1OnTmVPhTZHbWbItBBeTbta8s1VEhaL\nxaHB02NiYujp6akD4EOXUMkWLG917tz5jkuJWhglaStmq5n9f+vPNze/mX1tdHR0sVMeUiy7BgeL\n/UETJoil19IsJMzcPpPdFnXjjRsyq1cXK0U3b4qpT2l2Sdgc3sLCwrKXl4vDtgpki7vUpYsI1PTa\nxtf41uK3StxEJ8vCb+aFF4ThuXNnEf6hONRqNY/l2g05K2IWm89uXuyUKy0tjXfqTvn8jBo1yqRU\nKufTWePXWQ0X2ylA5eXlpXO0Gppf3XYGH/79Ifss70OTpfSakywLL9l584R2Ua9e6ZKPG8wG1nyr\nJtcfWs9ffslxcps7t3iHt9zYfFPCwsKyjbYl8d13YkWHJL//XngPx6bH0vddX0Ynl+zmqtMJYfTN\nN2LndK1ahfv1FMcHf33Afiv75QkVkZsjR47cMe4GxWEwGOjv768D0IwuoZK3+Pj4zP/yyy8dOkeZ\nOnWqI6vPRpZl/vDDDwXOLzq+iE1nNeVt/W0aDAautEUtKoHffxdu8Dt2CG2ltMHXfz78M/v/1p+k\nWDFautTCcePGsUcPmZs2la6OBg1yQjJ4eZVOO4qOFk5tYWH7uHDhTt53nxCMn27/lG9vebtU7SYn\ni93ac+YIJ79vvy1dfzdv3sybN2/SZDGx97LeTl9qnjhxokOjBf72228MCAiIoDOVAmc2XmzHgBb+\n/v46Z0SsdwT5g2Qfun6IwVOCeeGWCB9oMBgYXwp1Q5ZFoKTRo8VALa29T2PUsPa02jyZeJIGg7Bt\n3LwpjKA1aojVo5SUFP6YK02f1WotMACaNctZzXFzK7inKPd+pPPnz2en3ujendy8WfS/fn0hCFO0\nKQycHMiLKaVzIYiOFqtJ334r+lwaRVOtVme7wadoU3j/T/dzeWTO6o6j0mEUhaM3tjZs2FAHYBBd\nQqXw4ufnd8KRgXGcRbw6nnWm1+GWi1vK/NnTp5mdRrUM2Vf5Xfh3fGH9CySF636XLuL85MkiQXyh\n/YyP58Jcka9jY2NZt+4injhB7toVRiCWv/yyKPv9q1ev8vfffy+0rnnzcvbevPFGTorR7/d+zyFr\nh5T6Ps6fFzuageK3ExTF2eSz2StCVquV69atK3slVZRTp07R29s7DYAHXUKliM4BQzp06OBww8eK\nFSsc3UQ2R44dYbP/NOP4PeMpyzInTZpUJnU4MVFEb8u3p65Y4tXxrDG5BqPThP3iyy+FfcIW4a0s\nick7dxbXb98eRk/P0n8uJUUYg9PTxfTt6afFea1Jy9DpoWVa9o2PF3ucbHuESsusWbOoVqu5KWoT\n682ox5uZJXgI2pGDBw86PEj666+/rvf09BxHZ49bZ3eg2M4B1ZRK5W1Hq6iXL192aP25eXfru3xm\n+TPZkdscuffDxmsbX+OoHaOyjx95hNy2TUydWrYsOm5JYdii6aenC+/asjBokMhumJwsBIxt6rTo\n+CJ2X9zd4YNOr9dnp/H478b/ss/yPkUabu3NP//849D6MzIyqFAoDABC6eRx6+xcysVC0my1Wud8\n//33Bke207hxY0dWn82as2uwI3oHlg1ZBjfJDSTh7e3t0DZPJJ7A35f/xlc9vwIAmM3AsWNA587A\nL78Ab7wBSFLp61MoAKMRyMgA/P3L1pd33gHmzgWCg4E6dYAzZ8T5EQ+OgM6sw5pza8pWYRlRKBSQ\nJAnXrl3DpH6TYJbNGL93vEPbtPFk7oTUDmD27Nmyp6dnGMkEhzZUGpwt1UoqAIK8vLz0V4rzB7cT\njmzjYspFBk0J4vGE45w0aRJ1Oh03btzIkw6MdSjLMnst7cV5R3OiHR09Ktz6ExPz7jguLYMHk2vW\nkIsXh7FVq7J91moV060DB4QdZ/bsnPf2xuzlfTPvo9bkePckWZY5duxYJqgTGDo9lP9cdpwWURlO\nlhqNxraM3I5VYMxWaU0FAEimSJI0ZdSoUTpHt3Xo0CFYrVa716s36/Hcuucw/tHxaB/SHqNHj4a3\ntzcGDBiAtm3b2r09G5subsIt7S280f6N7HMHDwLdugHz5wNDhwI1apStzsBAIDUV0GoBP7+yfdbN\nDXj/feDHH4GuXYHDh3Pe61m/JzrX6YxpB6eVrdJSsn//fly6dAkAIEkSvv32W4T4huD3wb9jxMYR\niFfH271Nq9WKqVOn2r3e/MyYMcNCcifJkw5vrDQ4W6qVpgBQKZXK9Ds1henbW97mc78/V2j4RxvR\n0dEFAjtXBJ1JxwY/NuCOK3m3OwwblpNTyLY0XBa+/FJEdfvjD7FBsKxoNGIpfOVKsl27vO9du32N\ngZMDSx3yoSxcu3atUJuNLMv839//Y+9lvUtMeVIVuXXrls2W0phVYKzyTtBUAIBkptFo/Oa1117T\nV1J7dqtr88XN2BG9A30NfZGWllbkdenp6Th//rzd2p20fxI6hnZEn0Z98py/ehX4+2/gsceAFi3K\nXm+tWkByMpCUBISElP3zKhXw4YfAqlVAluKQTYOABniv43v4fOfnZa+4EGRZhizLou4GDSAVYjwy\nGo2oFV0LJqvJYVqSIxk/frzR3d19Fckrzu5LNs6WaqUtADx9fHySHbkRy8ayZcsYXd4oyblI1CSy\n9rTa3Be7zw69Kj2XUy8zcHIgr2cUjMMSGkoCxYcsKI4NG8Ry8EsvhXFc8UHcikSrFaEugYIrT1qT\nlg1/bFhAwyoPixYtKpCxsShibscweEowj8YXnvisLCQmJhZIP+sIYmNj6e3trQNQm1VgjNqK0ztQ\nps4Cw1q3bq1x9NKjLMsVXt6UZZlPLH2C760oIoFOMYSHh3OvbftwOdrtt7Jf9o7n/KxbJ0IKlJcT\nJ8hWrciHHw5jEX5upeLsWbHnqDD+uvQXG//cuECwb0ezcO9CNpzYMDsmcHnRarUFPKgdweDBg3UK\nheIHVoGxmbs4vQNl6izgplKpLttcv6syc4/MZbNRzXjlavlUgvJuT9hwfgNbzmlZpg2KZcFgIJVK\nofGU1fmsLAxaM6jQmCslsWDBgnKvuKjVavb6shc//LsUuVedzNmzZ+nl5aUF4M8qMDZzF6d3oMwd\nBvoFBwfryxq1vjxotVrOzr3uWUpsBkfbvp6KkJycXOq4uhmGDNabUY9h18Iq3G5xdO8unhwHxtFi\nXHocAycHFpnZsCgqmo84VZfK0Omh3BNTchyc/Pz111+VoqGQ5BNPPJFZrVq1z1kFxmT+4vQOlLnD\ngOTv73/sl19+cewcKIuypmLV6/Xs8GUHTto3yS7tW63WPLFBiuPdre/yjU1v2KXd4khMJNesCXN4\nO9MPTmfvZb2LnYoajUa7R1HbFLWJdT+ry5j4mDJ9rrI2Jx44cIA+Pj4pqOTUG6UtTu9AuToNdA4I\nCNClltVzqxKYvm06W09qXSD3jL04ceJEoYNsT8wehk4PLTH2q72oDIO52Wpmx4UdufDYwiKvSUxM\nrHD2gsJ4buVzfGnuS3avt6KYzWbWq1dPDydEyS9tcXoHyluUSuW8hx9+uNISJK9fv77EJOwJ6gQG\nTwnmyUTHecmGhYXxdr7EPHqznk1nNeWfF/50WLvO4kzyGQZNCcrju3LmzJlShYmoCCnaFNaeVpvH\n4ovXEjMzMytFwNqYMGGCWaVSHUQl5kYua5FI+/lkVCaSJPkolcorq1atqj1gwACHt2cwGGCxWKBS\nqQq8ZzQasXr1amxXbUd9//qY9Pgkh/cHAGJiYpCeno61qWtxOe0y1j23rlLarWzG7xmPw/GHsfXF\nrZAkCREREWjfvj2qVavm0HaXRS7DnKNzMKr6KDzyyCMIDg4ucE1sbCwUCgVq1arl0L4AwNmzZ9G5\nc2etTqdrRTLW4Q2WF2dLtYoUAD2rV6+udfY0yGw2c8ORDaw3o16FlyPL2u6KHStYc2pNJmpKiEBt\nZyrz1/la7DXe9/p9eYIrVQayLLPnkp6cGT6z3Hmc7IXZbGaTJk20Hh4eb7MKjL3iitM7UNGiVCrn\n9e/fv1IdGmbOnJnHrmG2mtl6bmuuO1e5AX8yjZls8nOT7HZXr15dIHm5o3C0UMn9/Wq1Wh6OOczg\nKcEOceEvjjPJZxg8JZhJmryrSn/+WblTzfHjx5tVKtVhVOFpj604vQMVvgHAx9vbO2njxrIljaoI\naWlplGU5O97oj4d+5GPLHnN4PJD8vLf1PQ7fMDzPudx9OHnyZKX3yR7IsszvvvuuQG6mCXsm8NGl\nj1b6Hp1Ptn3Ctza/RZKcMWMGNRoNI8ua7b0CnDlzhkqlMhNAfVaBMVdScXoH7HITTpoGGY1GpmpT\nGTQlKDtNaWXxz+V/WG9GvWJXe7Zs2ZLtCGa1WislgVp5WblyJa/aImoXgcVqYffF3Tn1QOUELLeR\npktj8JRgnk0+W26nxPJiNpvZsmXLzDth2mMrTu+AvYqPj8+8IUOGODyMWu6dxCaTiT1e7cE3N7/p\n6GbzcEt7i3Wm1+Guq6X3t8/IyCgxqHVZqOj05+DBgzx6NGefTWkH69W0qwyaEsTIxMrTFEhyxsEZ\nbDm8ZR7B7MgsmjZGjx5tVqlUh+6EaY+tOL0DdrsRMQ1KXrNmTen+W+Vk2rRpzMxK0ReXHsfqP1Tn\njYzSbVqzB1bZyn4r+1U41cS1a9e4dOnS7OPU1NQyLdOWVajs27eP/9oSI1NE7i/voFweuZwt57Ss\nlIBONgxmAxtMbpAtyGVZ5rhx4xw6vcw17bmPVWCMlbY4vQN2vRmgp7+/v66k7H72YuTGkfzy3y9J\nilSWtlQQjmTqgansuqir3ff23LhxI0+q1RMnTuQxRl6+fDmPZ29sbCxPnz6dfRwZGcktW3KyAxw+\nfJhbt27NPrbnr7osy3zpj5c4cuNIu9VZFLm3g6w6vYpdF3WtFDuVRqNhkyZNMj08PN5iFRhbZSlO\n74C9i5eX16hmzZpl2rQJe2AwGArs6biadpU1JtfItmnodDo6Op3IoeuHWHNqTcbcjnFoO4WRnp6e\nx/kvOTk5jw3EZDJVynTAhsaoYfPZzbn05FKHtjN58uTs4FoWq4XNZjXjzuidea6xWq0FHBIrgtVq\nZceOHQ0+Pj6/30nTHltxegfsfkOApFKp1nbr1s1gr1+UtWvXFojL8e7Wd7O1lMogVZfKBj824MYL\nlbfKVRyV6adSFDZv2zPJlZcQbMWpFeyxpEeBJe8FCxbYrY1vvvnGpFKpTgHwYhUYU2UtTu+AQ24K\nUKhUqjPjxo1zyP7/BHUCq/9QncmZyYW+bzQauWjRokLfKw8Wq4V9V/TlJ9s+sVudFaUqCBWS/PXk\nr2w+uznVBvulh9q5c2eRK2Vmq5lNfm7C8GvhdmsvN+vXr6dSqbyFKhZ4qSzF6R1w2I0BoUqlMqW8\n/isGg4FRUVGFvjdqx6gSY24kJCSUq93C+GLnF+y9rLfDNine6byx6Q0+u/pZu/mvHDhwoNj35x+d\nz2dXP1voewkJCbx5s3xJyo4fP06FQqEH0IFVYAyVtzi9Aw69OaCjQqEwlMdRKSIigoUZfPVmPYOm\nBPFyaukTkFVEwKw9u5YNfmzAW1rHG4HvVAxmA7st7lauoE42yuJ/kmnMZODkQF5NK+hXo1aruW3b\ntjK3f/PmTdasWVML4AVWgbFTkeL0Dji6uLm5Da9du7Y2JSWl6P9oGVgeuZxPrHiiTJ9ZvHhxuZym\nTiWdYtCUIJ5IqHpZBKrK9MdGkiaJ9WbU4/pz68v82czMTM6cObNMn/l0+6f8bPtnZW6rMIxGIzt1\n6pSpVCqnsgqMmYoWp3egMopSqZzZtWvXzJLCDBoMBm7fvr3Ya7os6lIpxtJ4dTzrzajH389UIBCs\nA6lqQoUkj8UfY9CUIIeGnrBxJfUKg6YEFbu0f+jQoRKnQrIs88knnzSqVKp/AbixCoyXihand6BS\nbhJwV6lU4X379jUVtyKUlJRU6JTHxqWUS6w1tVaFbBtr164tMUKY2qDmg/Mf5Pd7vy93O/cq686t\nY53pdRibXryv0vHjx/P40ZSH7ou7c8vFLUW+r1areeFC8SFFf/rpJ6uPj08MAD9WgbHWk/b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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "radius = 1\n", + "theta = numpy.linspace(0, 2*numpy.pi*radius, 1000)\n", + "\n", + "plt.subplot(111, projection='polar')\n", + "plt.plot(theta, numpy.sin(5*theta), \"g-\")\n", + "plt.plot(theta, 0.5*numpy.cos(20*theta), \"b-\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## 3D projection\n", + "\n", + "Plotting 3D graphs is quite straightforward. You need to import `Axes3D`, which registers the `\"3d\"` projection. Then create a subplot setting the `projection` to `\"3d\"`. This returns an `Axes3DSubplot` object, which you can use to call `plot_surface`, giving x, y, and z coordinates, plus optional attributes." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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aUBaSpBhwLLSYdRO+kYlJCU1WCHKezcWcJpKSgURzw1Z4WkI15spHf4d/+8yX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FsBMRL7RRwXPouv0sVmRsd+Al58a4VoLEk6W0av05LNJBkdHSHoc6E29iMVS3jmuRdOPZ+HjfdS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\ndTyeQattLQaQL1Tbp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RifZmtVsMQaGJnE79lBpzeSz+WQSKXIZXVUWgMylYVCVUMhm0Sj\n0ZOvG/lXv/ItfvHXlvk3/z7DH/2dlNfe9rMbHqBOs+/p9RJE4uazIantkT5QVevVPGqRi3w6TChQ\nJJjoRySz0mOu0RA376VJE6Ym0iIvrREPRahXxdSkzdmIHpNg+1eLLxBK9GHqtiM+CMHJRFdIJKKk\nKhPIFFosZjnSRopUxC1ca+UAokqIpO8OCvN5GtUs9fQSpqHPUcts0tU3glJSRdLIUc0HmZvoobvr\n9H52r/i4kdXTkqtA8Fh9rKx+dHhMVh8gHiWv1eNT+yAEg3+UU/vvFx90Kl4sFvOvfu6/Zn9nFWRq\nNN2TrNx6DfvZH2F3/QYKlZ4Vd5n1rf37cvx7xaF62ikJDUCj0dxVPa3X6xSLRbLZLNlsllqthkwm\n4ze+/i36Ri6glCvosZ1FquzCYh1jf+tdpMpetHozcikEfV4yBQkqteaoH+6t38Lr9qDvm0GjNSIS\nnVDJ62Vy2SyvvvwmYs0gWl2rBcvu2m3sjuGW3ySS1mnier2OpbsZcxcM+Ln5zgKBYJSXX1vnxVdW\neem1VcIFA8quWZQ986j65tHaLqG1XaIstaOynqOkGufd5TDPv7LCMy/cwRdM88b1dVZXdsgeEP61\npTVs9vbQAPd+CHNXe2LQzuYOw2OTbb8XiwV0BoFoaA0mZp/4Ed686WF7a59kKnMq6ZTL2qf55XI5\nc09/gUQyduqzXq+3Eu/JuQusbLopFosEAyHGp9qTsg4hVqqodigkcAjnnosrP/TPePMNYQq8WMgh\niy5jO4WkjzoGcCYq7EZyaLqt6DokS+lNWpLZIruRPP2jY8g7qNkKnZZYKsd2qsbwUOf43oEBOwvB\nAnZr54Sd2zshpmbn6dJBIS8otQq5iNWtMI5JYcDQ0z/Ezvox26ruHrze5uB0ZPIsa4sCKVWq1OQL\nAmkXi8WIEJ4xvcFIKi7E4lptVkJ+F0OjszjX38Y+fAap3IA/EEMslTAy8wm8YS+JrAmxREGtVkCp\nMSA6FoeqaOySKbV61WpUddSiAPLSKsmwk1QsSkl6CYn8gABWfGQqzVmMSilFPh0gGdonnLZTQ4Po\nWKnVcj5MNh0mGoiQrk4gr29TFDsAkNc86ORF6uqDhLrCDpVag0goTaluQaHrRVTaJ+iPYeodRVTL\nkPAtoOmZRVTYp5wNI1Xoifi2kEjl1JDzmSvtpYg/CD5uZPVuMbiPldWPFo/J6gPEw/ZaPa2cqVgs\nRqPRfKRT++8XHybJ6dq1C4zaNQS9LnyuHcbOf4Hd9RsMz38Bv3MJg2WQd9dCBEKne7B+1ElWnWJP\nK5UKcrm8TT0Vi8VHanYul6NQKFAsFo888tLp9NGgQqVSodPpUKvVfOWrf4ip7ywyuY6hM0+w/M6z\njExfoVjIIpXp6LWPk03FkEhqBEMZ9GYbloPyqvV6HZ/by8CZT6FQCKqW7lg502q5TCGXYGFxn+GZ\nT6FQaVBrWolLtVxueVELSm0rCVpaeJdEIsf3v3+LF166SbTQRSwnY+6pLzIyc4nxuSuMz14ln8ti\n7VShSiWQealUin1kmon5J6gh4cKnfgL71FU0/RdY2s3zwvcX8fgirK2sttlKNRrtlaIArD3tah5A\nPhVidHKu5bfJc09SUdqoljMdn9lcNknfQOd4vnw6yuDcj7CzsdQx3EalbSeE4/OfYm/XRaWcx2g+\nPQO/t68LicpMIds5eUshraDW6BmYOEs06Kae9VB/j34ezZfJy/V0d3f2h7T3W7mxnyAv12KxdHYw\nGBse4Lm1MLPTEx3XNxoN7jjjaLo7XzNPOIW+px+xREKX2Ug1G8Tr8ZOp6iiUWwcFXT39ZNPN8+/p\n6yYRE9RYmUxOtdbso45hB+69bQDGp+ZYXxRiV+1DI4QDbvTGLqIhH2KJBLXOjFypRiyGiflPEwjE\nSISdjE5fIxX+WwAsuhDZYySzXq+j1vz/7L15kCTped73y7sq6+7qqu6uvq+5Z3Zn9iSABQGCAAUI\nIGTIhmBDR9i0zJChkCnZIiNoUabComSFbYUZQdlmBK2wdYUcAIkFZRJLggCWS+w1szM7R8/Z993V\ndV+ZWVl5+I+aPqqrerFY7gVy3oiO6qrKyvzyqK+efN7nfV4dRBnRzRFVVpEaP2B7x2QnH2W3msET\noijBdMcc2x/3QYogegV07z7Ur2OKz4LSZlL7Qllssb0d1dtAbt6l7l9CUIfwPI9oLIKAjWzcYGdz\nh5Z2cv84O/UH5CsRBC1Dn76D4DbI5kRiQROUONXCGslkAtEz2NopEIgOUCrkUEWDqp3gUxc1VLV3\nh7cfNf4sgtXj9md3d5fBwXcH5D+KR2D1fY33W7f6w6yO9tqZHscUvZ/xo61BPAAAIABJREFUpwXu\nv/KLf4tGaYNycZcHt97A8QNUy0Usx6e8u0L/0CR/cCV/bEX2u9FydY/97MWe7vnL9mJPw+Hwvr3X\nXup/rw2tIAhIktThwFCv1/nBq29yd6HA0PgFfN8nu7lMJJ5BUTRuvPodpk4/BcDSnVewbJ2BsdNs\nLl5nZGIKz/N445VX6B+a3T/3qw/eZGxqan8/fvDdF4hnnmD8RJvB2lp7wOjkRMf+6qHOvuD3b73J\n+NQEpUKBNy7P8b3vXWN53WZg9hmmLnyM2ceeIxyN07SaXWzE9toikWhnqrhaLjDUo0HA+Ei847uU\nGZtl9vHnOP34s+hDz3Dj7gYri/PktlZo2U0Sid4sYsPsXXTlub1fl+QAQuJxHty7TdPsLEQya2X6\nB3p3wWoaZSLxFEr6mS7AWsxuMDDW26Q7MvoMC6vHt0Y1G1UsoY/YwCxra2td16/TsinV28cpFOnD\nrmcZH0lTbXVr1PeiXGvgRgYRerDEe9EwTPKuxkjmeAujGwu7xDLTx85vL165y/lLTzI+PcXydudN\nZN2wyBoC/akDJjGhezxYzjM8dZaBTIbs1kGmZHh8gvm7D/afD2RGWbh/4Is6c3KW+bvtlqyRWJzc\n7gGQ9dz2cUgk+9labethp2ZPsbO1zMT0CZbvX2N08gSby3OkBycIxqaJRGMMjo5S3P1jLL89Rs9p\norCDYr2C4DWxS9fJFzxWN1QEdQRRmz4YX6yA6R26AWmuYlo2SnOO/E6NrayMHDpg/J1mGUEdQPF2\nERs32N6qQOjc/ndIde7j+gqN/ANyjUnS6TCiHAK3hr37PYT4J5C1BLZZol7ZJluKg6AgyhLVwg62\no+L6AvmSSyxYwzKb1AsLoE+REBa4eKZ3o4p3En/WwOpx3av2sqa9faAfxTuJR2D1fYz3Wrfaq53p\nHiOn6/qx7Uw/DM4E78YY/s1v/mOW7l/DNAzKxQKLC4sEQoPMzy/huw5BxeGlOy1KlW6m7Z3YZ/W6\nGdiz8Hq72tPD2tW95gm6rhONRolEIoTDYcLh8P769ljVf/Yvfo/h6SfJ7W4RjvXTMFzSmQy3r71E\nINyPFtAxGzUEJcbQZBsMKbKI6zq88epriEqY4YmDH1DbaqKoGrVKmVdefAklNEIseQBGGpUKQf0A\n9FXLBQYyB8xby7bZWF3mxe+9wfx6k+T4JSbPPose6k4Rx6LdBVMnZroZCKuyRjLdnUIWe1hjlfOb\niME2AEgOn4f4RRraOV588VVcT6BWznUsX68UCUZ7sx6G0dtCqmXkSKTHCQ7+BPPLWWrlAx/Tpn28\n7ZT5UAMqyzJK/1OsLBz0srdb9rFpxEZlFz9yntzWYs/36+VdEqm2Ji6ceZKt1Xsd75fzm6TGzuP7\nHn7lNo+dfdjC9MQpVra77aUMq8mN9Qqzp89RMHp/F13X5fpKiWc//ikWjmnrurJdQu8f5Oxjj3F/\nvXuZhbUdMrPn2uxlKMxW9QDQ+r7PjZUiMyc6nQFSqT5mx9op8+RAhrXlTqePSDyKUT/QRvcPDlEt\nt0FwUNepVtpFWrbdxPd9Xn7xZV7+k8vkCmV+7/nf5bWXr1OpNnn1xe+xu7PL1vJC21IsGECSFSTB\nITNxmlbToFqxCMf6CGg5AhSQrLvU8kuUCya+Mst2cZAmU8hygFQsS80+uOHyW7tYfrsxgepvE5UW\n8e1NCtUM+dookppgoM+ixcF3S3VvI9i7ZLMWJXOSzICIJ7Rv7HzXoGVusZsTaYlTyO4yljiO6q5T\nz68QTowhykF814LaVdzgx5C1MH7tdUw7iKdOItn3qVohbCNH0xZwhQSh+AhSa4e//h/1Lgp8p/Fn\nDawetz/NZvM9qe/48xyPwOoHGO8GQDuc2u/VzjQajf5Qz9MPA1h9N9LwkiTxD//bv8bSg1vsbK2j\nKCq35+4RCCeZXykiyQq1hs2LN02qtU4Pzbe7/bdqgPBW7Olx2lPHcVAUZR+YBgKBY2UYe5KBv/zX\n/wGynqHlCAQCYRr1Fl6rTimXI9J/ioHMCHbT5OYbP2Bsug1UHcdB12WuvXaF4ZlnsJsGauAgDR4K\na6wuLnD79hITZ36yy+9UpDO1vrpwh/70INVyidf/5CVee/UGob4ppi48R2poAgDbtpia6dS0NmpF\nhnv4nfpCN6gN9fBcrZVzCFp3etoz8wT0WNfrA0MTSH3PslbQWXpwj2J2Fd/3aRpl4n3dzGC9kicQ\n682Qtg4VeEUGL7CyK7K7uYzrutTM3teOZdRoiQeMsayqCPGLrC3exfd9qsbxmRXbrNA/NEXBjFAr\n73a9X6kdWDmJooghjlDOb+2/tmexZefnuDB7wFIqqkrR6vy+u67L5cUSZx9/EoBgtI9yrbur18u3\nljl14VJbutJjn4vVBqWWSn9/ClEUKR2pDStV65QcnVTqgFlMD4+wsdvOeFybz3Ly7Nmex0MXy9hm\n+0ZzZGKW7OYBuzoxc4rbbx5YhY1OTHH39oHXraLI/P63fpcrl++Rmvw4NVMgM/MsU+c/TSCUZmjq\nIjOPfwbLC6PGTqLGpvnjP3wB22px++p3mTr9BIt3XiUzPkt/ZhbL8oj1ZZi79YdUzOF2gVTSxWwd\nXIMyOxjeIQ9Uv0VQXCIkF3HKN8kXA9QqNWzx4v4Ni+RtUHcz+L6P5m8gNl7HFibI1ceQlDiSv07D\nG8HzbELCIm7lMk7w40hqu5VqKASK/YDtXYmA0qIpTSF5eaz8ZQL9TyPKMhj3UMInQBvHKryOG5hF\nVGJoYoNA/AyeMY8quzx9OoamChiGse+AYNs2rVZrf277Uesu3qog6ccxjmNWNzY2GBnpPY88incW\nj8Dq+xjvhtfqce1MZVk+tp3pD4sPA1h9t8bw1BOP8dEnxjEMi2w2T9OqUq5DrVpiM+/j1lbwg8N8\n73oNw+j8se+1/aPH+3ADhB+VPa1Wq1iW1faAPKQ9fTvnyrZtfv879/hLX/1fqNtRfESSmQvUytuk\nRs7hORaeHKdaWCc9NMa9m28SCEYJx9rAbv7G99jZzjM827acCh3Sn+5ur5DbXqdu6YxMXWRrZY7h\nyUOsq22RHuzUTSbDNjsrc6xvVhic/QTpkZNkjhhg13fvosc7mVGrtIwe7VxXbvM+WrTbB1SQugGs\nVdkkGEl2va4e42EqKnuFUimkvkuUvBnuzN1la3OjZ4q6ZVWIxLs1op7nUW10Lh/tH6Pkj3Plle8x\nOHam6zMAZm2XvoGJjtdkVcUJn+XKK98lOdwbmAFU621GNtw3xuZODcs4yAjUK3nEcKdPbSQxwE7B\npGk2MOplWlKaZv4Oj83Gu+aeQDRGpdZen+/7/ODuDucuHvigDg5lWM91gtU3F3aZPvfE/vPh8Qk2\nsgfMabPZ4s56hfHJgxuUsekplrfay7iuy42lHNMnOvvKJxJ9rJVs1nerhPsHkJVufWS5XKVFANHZ\nAaAvPUSzttO5nlQKyzi4Ce3rH+LW1ct8/4/+BCV+FpQ0w9MXARiZOs32arswa/LUEyzeuQxAZnSa\n3c0FkgMTIIUJJs/TMFRuXX2ZgKYSi6ep5FcYnX6CUGKGsRPnKO78AenYBoXGwbXueR5BpUhIrdEf\n2iQkLEL9DWqtc2zmUjSZQvSrCIEhBPEgyxUOmoSVXbzaTbKFIJqewD/UFCAelQiwQ6t8l40dCSVy\ncv/cOpWXMY0WBWMSBIFANI3mLlLMlYn3pfGECLI1hyI0kUKTiOYdIrEkwVA/du4Vgslz1HauogZ0\nYrrMpz9+gmAwiKqq+90H97J3tm1jmiaNRmP/zzAMTNPsArWu67abbByZF3/c45HH6vsbj8Dq+xjv\nBKweTe2/k3amPyz+LIFVgF/6u3+TVnWeSnEbTU9TKe9SrTbwpRDreY/VB1fwgqN8/Tv3aDwErIeZ\n1eOOdygUetvs6R7b/aOyp0djaTnLr/8fL/JX/+vv8z//76tsZzeIpU4yOvMsGw9+wKlLX2Lhxguo\noTTx5AiK4nLj9RcZnHiS4EOz96ZpUK1aTJ79BADZjXuMTLT1qWajzs3LrzB54XPEkm1tmmOW0AIH\n3aUauTsMjbXBq1XLs7N0jYabohm4QDjZXk+zskgw0slUhvTufQzr3aBSk1ooaqc0oLS7hhzsBo2B\nYG8fVa8HM2vUK3hyp92OrCjoA5eougPcv3uPws5SBzNk92gDClArrtM/2u0zGdCjhFMnWZmfw7a6\nO15ZVm/9qxrQUcITVHPdrVMB6uUscvTAezQ8cJa11RVcp81wm/USkXi3njc2dI611UVq5QKKX+Xs\nRLCnbi4zPMr8djtt/saDXWbPXuhapt7y9wH94lYZvX+IQAcbHyFbaY/H931ev5vlzIVOWy9dD5Gt\nt9dx+fYKF558tuf+BiJx5ncNBga72W7P85hbyDE+OU2mX6NptlP68cETlPPr+8tNzJ6lnm9rV61G\nmWJ2jY2tMhNn2wWCEycusPKg7QwQiSWpldv2YLKiIgptSVY4lqRWaktGxk88xtbKTSbPfJSGoVCp\n+Vx/9duMzZzHdSxkEQL6INGESz63ykAsSyq8QVRZIeheIVfqYycXZm07TqEso4ZOwKHrNN1nYbUS\n+G6DmLaJ5r5OviSzmeuj4UwQD2xRaY4+PL4eNF7BqNfYKfbRZJKhpEGLFKJXQbWvE4pN0hTaNwIR\neQHHyLJbSqKKdSx/AGpvUq15tAInEBvXcWwTQUtTz94mnJykkV9CElpYdogv/VQa13X3geZeSJKE\noihomkYwGETXdUKhEMFgEE3T9ue1vd+tVqttm7YHZgFM09wvIj0Kant5fn/Y4ziP1Udg9d2NR2D1\nfYxemtVe7M5hz9OjbN47aWf6w+LDAFbf7Wr8f/db/4zdzTtkt1cwTYvpsz/J/NyrnHz8U2xvZWma\nBmriFP/q+ZvUGyae59Fqtbraxx5mT4G3xZ72qtz/UZju3VyZf/lv/pi/+w9e5mu/ssILL8dxPYVK\n8ZuMnfkUkXgao1Fn9MRHaNkWghRgYOw8hZ15asUCQ9MfZXf9DmNTpzEbNW5eeYXBkYOCDaOySzAU\nobS7zuKdN5k9Md0xttmZTpYzHlaxzQqFtZusbJrkawEiqc4q71i0u7JelnsAyx5sqaL0KPBrFgmE\nevg69gCl2fXbBKLd2tZ6YRm9hy7VKK+RyJxHH7hEyZ1m/u4clcImrutSt475HrjWseevVrNRU0+z\nsryC2TjwR221mtSt3gUWvu9j2D5ld4TizkLX+02jjB7ulDXog0+ysdLWpZarx2tkA/0XmV9cBLuA\n9hZdsxquwNxKgb6xyZ72UydOn+XeWpFsoU7ND9Lf333zoEXjFCt1rj3Y5cT53ixxIj3ES9cekJnt\nzT77vs920cbXejsLXJtb49S5NghOxGMoblsSoYX68O1yx7JKIE5h4zZrq3n6pz7F9MlzWI22djWg\nh4kGD87v2MxJNhZvATBx8nHmb73cfv3EeTaXb6MFQvgP5+e+1CCBcJpI6gy33vgBpd0lxk8+gR7r\nRwsNUK1vs7yus76TwHOa1N3zSEo7q+G5Fv0JAaPVvp49x8ar/wDf99CZp1HaYTfXxBFmQB5+uEwF\nJZhCxKQvsIpTuYwWnqHuzCCKIoq/Qb3VT0xcpFbKoahBbKH9WdFexDQFKq32d1RTLZzGJmV7ikhE\nRjTuU6xHkINRaoVtVLWFZVg0ysv4gREujGRJJcMd8/GeBGmPTfQ8bx/M9gKae6BWVVUCgQC6ru8X\nkGqahqIo++s7DGoPs7V7TO2eBOHDBmqPkwBAWwbwyLbq3Y1HYPV9jl5eq57ndbQzLZfL76vn6Qft\n+QrvDWD++r/8p2yvzOHYLvdu/AmnLv0Mc1e/z4VnPsfrL70AokqlqfCvX9iiWGpr5sLh8J+aPd1j\nun8UC7CNzRz/1796kV/8R6/wn/+92/y/v6+TKzSIBnbwPIfl+W8xdvKT2EaDaF+GRrVMLJnh9hu/\nx/jJdmp/Y/FNhmefQxRFmmYBu9nk3vXXkUSPgdGDgpWzpzLYlSWqFRM9PkU0ecAAGLUcvnqocKrZ\nYGtjmZXVEnX5HMHoMNGgg6R0MqFHNafV4iaS3smSlbIrqKFO8Og4Dp7YA+j2ALD57SWUcDf4DEgu\nstINtvRjWFjJMw86eKkqaupJtmpJrr32R8ST3XIEgHqjNzg0KttoifaxDaQeZ2UtR73cTk/XCpuk\nx3oDuEZ5k2D/WQKhBHmzj0qu0we4Uu/NyLZCp5m7+n0Cydme7wOUd+Z4+ulniMT7qFS7GzLsRTDS\nx0bNIxbrbnEL7e/kbqXJUrHF6DEsUWZ4lFfnNomkBlHV47qHyewaEpFI7+1cv3WfiRMX0CIpCqVO\nt47VjTyJVKZj3htOBTDrbWmBHBqlXNgAwHVaVMsFNraraPH2OZH0YQTj4NhGBs5S270NgB6Ok+lv\nr1eUJMJ6AMdxCOoRrHobBI+ffIylO6+QSI1Qya3Tlx4HQUfSR1mYewlVUZg4+TGSI49RLXydeGiT\nipUBQcZxLFrGAkGu4blN+oJrRKQNaN5BC51hK5cmVxnEE6Mk+xQsp91UwPdcQtI9JL9IrZhnPdtH\nX7Ifw2nLXzzXRnJXaNZ32CymUSUHwx1BpkrAvUNQdUF/rJ2iNl6lYfdjMYnmXMNtedS9U4SkFQwD\nzHoeD52WK6AnpsiEcvyVv/SR/SzdHii1bZtms7n/dxxoFEVx/1wd/m2zbRvbtvfXeRjUyrK8D2qD\nwWAHU6soyn5moBeordfrXaDWtu33BdS+VbHYI2b13Y8P3rPoz1kcTZFA25BfFEUURflAfE4Pe75+\nUFYbhwHzu7XvsViEX/k7f4lf/d+eZ/bcc9y9/icMZsZ5MPcaY7NP8ObrL3Phiad5cPc+//cf+ExG\n7vOFn7m0X8W5d1z2xtZqtfbv7g+fr3civ6g3DK7f3Obl1+6xtBlldUvCRycdLxFUDKrOKPlqP77v\nU9r5BqFEGh+VWLKPQnabdGaUe9dfJNY3hhYMM3/zJfoHT6JoQTzHYSClY5ZWyMx8jJi0uD++WmGZ\npruNJZ9GjSQQKzdQQgc6RLm1hRa6iO/7mIX7rKxskhz7SRT1QOMqHwElpex9+gc7J2bJKaDpnWyn\n7FfR9M7l8ptzDI53p6BFpYcHaquKGpjuXlbuzR76Ym/wZFo2R1y3CIZiiP0nWNtukqzcpm/oJNJD\nQGvUi0h6b+cAt1kmcEhvG0qdZT23SsZZx3XsHs1c9z5XQw23Nb56dIBs2UaUN4kkhqmVttHivcFo\nIBCmQgK/VQO6u3XVS+vMTg2ih9q+uGtLc5yPdi+3mS3R8GN4Qm9QDO1sQcGEM+PdcoO9KBTKVLwQ\n0Wh3cRuAYZosbpRJjpyhXKkRj3WOZWOrQDg5jiwrpNIZVhavk0y011Wt1dmttpie6WR0o9Eo6s4m\n0IeqJzBy69hWnO3Ve/jhSwS8DSyzQiDYXo8YHMKoZtGjA0hKgIB6cFaE0BSN/D1C/acYnn2Sxu6b\nyOlLTJ97kq3FK2SmnyIY1HAcm9Hps+yszjE6c5HttfsEolMUdu4hSCLRRIrW8CmWFr/HxMRfwLJ8\nLMtlMOlRqF/EKLavJYkC0egwVfPAWWM4VaRqxukPZ/FaFrXKDoZ0gUZRRZAhHlyn1JxGEcvEAjWq\n5Q0a0rMICHiOTSguoClb7OQkIrqHKUyjiBV88zZi7CIOMUR7EY8YBjM4lVewwmPIBAiFA8hqFN8p\nE5B9/quvPoPSQzO8F4eZ1bd6PAoQ9+bSw9rXox7Nh7dxeD49bAF1uLXp3nJ72zv812q1Op4fHsPe\nOo7O8ce1TT0u3opZ3dzcZOyIhv9R/OniEVh9n2NPv+P7/n4qZO8u8oOMDwNY3Zt43i2w6roujz12\nhs9+/C6//+IPGJt9nGKhgOc6yEoeJRDj9o2bRGM6icxJ7i4J/ME//D7nT48xM2xz8XyG6KEOPnus\nwWF98N5E91bh+z6ra1nml2osrJrcv7fI/VUNXxzE9wfojxaJhwyK1QFylRS+75OMFhAwuXP7NYLR\nIOH4MKIg0HJAEBxKuW0iiSn6kiHW7/0ABZOhiY8BUNp4kUQygxs4hW2WcGJ9KIDbMjBzdxBHP4P6\ncJKNRjpBYSgcwK5tkc9u0gqcJ5EwO4Bqo5YjGuqsxo+oNorauZ6jbgIAAa093biOQ6OWQ/RtWo0i\nZmmlY7nC7iaxRIpKfp1AuA8t0N5+INhteWVbFkjdPqqF7aWe1lRWo4wj9Ta7rzeahNInMYDSg2tk\nhlKEE8M4ZpFIore5vWE0CR9RK4QS4+xUdmkWVxjvrgUDoFZvET40bD0+ylZ+lRFhB9usEoiO9vyc\n53kYtsZWts6oUkE95IDQKG8x0i8RDh8AwmrN6PpRzeVLbJdgdGKCvKJSKJZI9nWm4H3f59VrS5x7\n8lOsL1xjINW9I4ZhcG8lz8VnforF1VucPjHatY5bd9eYOt3upLQwf4MnLxyMrVZrsFuxGZ86KMhS\n9QSFUpW+eITr97Kce+wSR8NptahUCgSEPHq0n5ance/mVaLDzwEg6SN45RsQbEsHpGAav3wTeMj0\nh6ep7dwgMvgYkhIkqB6AmWAogW1bqGqAoYEInucxfvJJGjtXCfRdQvDrKJqOLInE+0ep5jdxWhbx\neBIn6VAr77Kw8DrJ1EfIpD1y1UnYmx78MgGtitkwSegVVFWmUd+mWAjTaIapVyPoqoGgnsb32t8f\nr7WJoDeJSivs5HXcoAXqOQQEfK+F5l6j0chQrI+Bn0fU0sTkFbazPoMDGWqORki8h6BJWOIpZOsq\ngb5ZZAlcc51gdIBaYREtPMB/9oVxohGdt4rDAO9oHL2h32NNj8oHHMfpALZH17m3/OHHvW0fLtTq\nFXvL7mVODgPjw0D68HgOA9uj+3gU2B4e53G/VXvH4YP+Tf+zFo/A6vsciqIQDof3wU69Xv/AtTfw\n4dCt7o3hnUodDk+WexOQoij8/H/xH7O28S94sL5CtK9GMj1KvtAkHLTRQhnKpV2qlVeYPv9xwOfK\nmw+4en+W5//wGtF4hrEhgbBWY2JsgERUJBTyiYR0gsEAoihiWRbVqkG5amDZMtWaz27BZGMzT7UR\nYzPbJKhalKsuTXcYmCSklwkFttku6BRqbQY1ES2iynl2sg3kaIjV1TdRNBctECU5eIHSzk2GZ36S\njXu/w/iFv0KfuoIS8DFCU4yOVPEFAd/OEQrF8YLtFp1BtlD0i7hWnlJ2jWhqBv/h8W0aFQKhxD77\n5zSr7Kw8QIg9jaY/hghd6fU95vVwHNU7ep6HJ6g0zRqumQevhWk1ye1soW43MZoi4f4ZVDWAqDXJ\nNzvtrRyvTtk7iWd6VNZXkLwqelDEMXIMOQKCrCCqUULRFMWdu6RGO4t6ACTfQA10d4byrRyx/m7W\n0qzuIgQOmGAteYn1fI5Y8Tqu26Kvh3zWapTw1N6so+8ZWMHHKWzMkRzpNP2vl7aQYzNdnwn1jbO5\nO49vVek/pg27WVohnH4MURTZ3rjG8NRZZFmlUd4m0+cTiXR+8NT5J1lcvs3sdJvRrlbrLGxZTJ1o\nyxP6BzKs3L/aBVav3Fhm+kybcZe0KPW6QTh8AGQ8z+PKjVVOPf4TABQbTteP941b95g4+dT+c0EO\n0WgYhEJ6u2hqfosTZw9YfYD00DgL92+gbJY5dba7oA3g5tw9Tpx7lo2NDey6R67oEAx2Sgx8bYh6\nZZtwbOjh82HqpTXCiTEkSUHVAvtzjaBP0cjdJpQ6ixSexN69DqnHkSInqO/eQE9dJBAbxDBKjMw+\ni5m7wfD042wvvMTI7BNszF8jt7mK59YZO/EcG4uvUyv+IankT5PQ87geuPYWSElqjTSCpGNWoD+2\nQa15Bl9QkWSQhAJqMIrR2CEZVWnZBi1RIF+dfgicSgTDMZqtFgl9nVJ+G0+/QMtvnxddXqBlDFF2\nxumLr+L6UTCXcTUPPzCCbN4hGI4iiAbVUoFIVGd7c4FwOMzpkSbnTh7f5OG4OApQZVnezzi9nXn8\nKHA8/PhWoLYXE7r3fy9Z29HftsMA+PBn9gDyUWB7dGyHt+m6LqIo8vWvfx3HcRgYaPvo5nI5+vv7\n35d25X8e4hFYfZ/jaLeod7sxwDuNDwNYfSddpPbkFHt/e5NlOBzen9Q8z+N/+kd/h6/+l7+C6w1R\nrdTByxKd+Thby69y/iNf4dof/2sGxs8xceIs+Z1VqqUtLOkcirHAK7emCGsCL13JYnoZYsEcpVIV\nx48R1S1sq4zhTiKJDv2RLXaKOoKUQBHjxPUilVqYmjwEfpN0fIdSxaXRHKbRjBMKVgkqC+Sz2/hK\nHNtLI0gJbs+9iKB4JDMXSA6epLRzk5lLX8bOf5/xs18Ez8E0ihTNE+AUcORJJHuL7dUl+ocPClnC\n4RBufYXsrknLVgjEh/bBqWSvoA48ge/72OX7rK8skpz6C/sTuFndRo2lO1LZkSMm/7bVQHnIbNpm\nFc/KUciu0nIDODJE+tqpsNruDWLDn0QUJfb40UZ1m2AgydGk457MQBRFEul2RXx15zrhgU9S8kSw\nwSwU8JevIrYKBIPzyIFkh6WVovaWBritZk+hvuiW0aOdIFaPpjBbUbYffJdAdA090ZnWsxu7RPtO\n9dwOTgM9PE7FDuEsXyM9cXH/uHp2lUCotwejKAcpmhpRq4Ia6E6tt5omot7eAyVxifz6VVQ9wfiA\n0jMVL4oiuYrNLGCYFnOLu0yffrLzmAhBWq3Wfvp37u4ifZlZZLn9PDM6w/LyVc6fOQDYl9+Y48SF\nj+0/n5g5x8LyfWan2vu1vJYllJxBPGTLNDo5w4PFm1w8N8a1G/eYeci4Ho26DRFd29/+4Vhe3aR/\nuH3MBwcGuPz6TbS+SzgtAzt/n1B/u5BQCqYRqzeBNlhVgkkEawton0MpOktt5xqxzJNIioYqC3iu\ni1XbxGxUQLyNLMk0GwVU9T6+qGLmb6ONfZpAOInZrDM0fpZatcyl7wgXAAAgAElEQVTMiUmKFZmN\nhVfJbdwhNXyGHdth/v4fEAmPE4vK1MwErmeBUMb1GyT0BWrVQWKhLKoq07JKCHIQw/Cw7AE2dpsM\nD0hU6kOIIrRaJjH1HpI3RqUUoFEVSCRPUG8GiajbeNYWVe8sMhG85gKeZlOs9aHIKrrUolHOo6ku\nrtNkNycT1aoUqkkUyWM46fE3/+rHuo71cXEcQNV1/UfOih0GnG+V1Xsr4NgLSO7N/YfZ2sPb3Hv8\nYaD2aPbs8KNhGPvZUc/zKBQK3Lp1i+3tbebn5zlz5gzVapV0Os3Q0BCZTIZvfvOb7xi8fuMb3+BX\nf/VXuXv3LleuXOHSpe6sA8ALL7zAL/zCL+B5Hj/3cz/HL/3SL72j7X3Y4hFYfZ+jl33Vnnb1g4z3\nuvXr2x3DD2OZj2NPNU1D1/WOdM/h/REEgX/7W/8jn/3Lf5f48NOMnXiajflXGZy4yP3rf8Sln/xr\nzL3+TR7/yOeZPfcUKwvzFHbWqLkn6NcfkDcmUGWFqLBCxZwgGNJRyFK2xkBIMJTIsl2MkquNEA1X\nkVml0BglVx8lGq0SkDbYLfeTqw7hOSXC8mVcT4CmS7YcRQp8hGLDRBLrbCx/HT02TDw1xVBmjKC8\ny9DjP4PQvIuSPIWvRjGz38WPPY6i9dEXLSH6RXayJv19EUS1zTIZlQ18f5uaN4kaHKcveB/pUEo/\nGgngmAXK2XlM8Qz9KQsOXZ9BMY8SPABVnufhCnrHpFHavEI6PcDO4i4VK0IwNoosVwgmO3WosbDc\nAVwAZCeHEuzskGPWC8hiogvARkIKwqFJPhhJQiSJU12gYE9j5LOExOskohq+HACCHE3CeZ5HxWjR\n3yM137Qs1B4ZULexQXLqs6znc/TXbxIfOo30EEQ5drOnJtX3fYoVk2gQFFXDki+yMX+F4eknECWJ\nStUi0k36tsfYqhBMXSS7fouh8RnkQ4NqNU3KhsrhTG3NSRM1skji8axYIjnITnaXpa1GF1AFmDpx\nhvnlOc6cGGVlfRMhNEIk0gl8q0b7xlCSJO7eWyI99XjHj64sKxSqLWaBQrFCxZIYHu3naDRdiXsP\n1kgMzvT80a7XathEqTS6tbSVSoW6JZJJt8cmKwqZkTS5uouk6EhNtyMz42lj1IurhPse6qT1ceqF\nZcLJybb8KhTHrGaR3BLlUo2d279DdPgziPKTWPmbuPoF0EYwtt9sM5iuS/nG/8dAZphG6RbhoeeI\najs01dPEAzfQzvwkzdoG2c07hCJRPN8hl59D0j4LcgbJM+iL5nF9gUrjEqKoYFUhpm/jiaM06u2L\nwveapGK71OsK/ZEN3BZY5Kk5T9Eoi/iCRSJeQJNFmo1tzJYM6mkkQSEiL9HCpeqcxxMaiK0b5GtP\n41lbSEKdIpdQ/ZcQ9Ito1iLJvhj/zc89+0NB5l76/t0AqO8kfhRQuzfeHwZsoRvU9mJs99Z5+PGw\npdfe49e+9jUEQeC1117j29/+Nr/+679Os9lkZ2eH7e1tcrncn4plPX/+PN/85jf5+Z//+WOX8TyP\nv/23/zbf/e53yWQyPPXUU3zxi1/k1Kljbqp/jOIRWH2f491oDPBexDthNd/t6HUsDuuKfhh7upc6\ngs7Jbc9exXEc/t1v/UO+9Df+BzzXZmTmSZpmDS00wM76A6bOfoIrf/wCTzz3afSAQOLcGRbn7lD1\nTpEKL7JbG6AljtGnL5Ovj2MJY6SjG+wU4+TqY/TFi7SsTRrNYXw/QjqepVpzMS0dLawT1+4hiCqO\n4FIzYtheBlkOgFjHM76PLDssL80Tjmc4deYxIhEdRYOAPgReFtOqo4bPIxp3CEbHIJDENotUzTwN\nL4SkDiEoWQA8x6RVnIP+T6A+1IqKygFCalp1qtklWpqCGrqA59i4cqwDfIX0Th1qIz9HavQCLaOA\nZ+1SKDSQpRA5axo02Cu+l3oURwly92u9qvV9Yw0lfbHrdcRuvWqtsIQaHECmXaTkM0DRg9LSZfSg\nzIBjoEaGUB8W2hjlNeJD3anlVtPAdIL05GLdtg9vMJyiQYra4psMDY8hqmGMltYFiAGs6gZ638F2\nRFGE2DNsLFwh1pdCinYXiUH7hyZftIgMgBQ7z87KVQYnz+9LMezaBpFDEoZmPcvEcJB4/HE2165z\n6pgip9TAIN/9o+/yiZ/+XM/3ASqGx042T9HQGB7r1vrOnL7Ig4XrxKIxXC1NqIetWP/QJMsrG+yW\nPaZO9k7h96WGuXfnFh997lzXe57ncev2MrPnn6FUyLK7WyCdbt9ZuK7L/OI2k6c72aTx8RFy11Yg\nOIGnz2LmbxJKP9SqanFEe3N/WVmLIlhtX9ZWbZV6pUwue5/gwCdAGSWZSWC26qhyHFedoFldRItO\nI4YmsOtrKKExdLlKwZxEVNNs3X+Zvr4opv0SodQTeOUlQuEw8YEnCYfuYSeTrMkqC3f/T6anP0kk\nNoYeSiIKEA1VqNez+L5PIJBEkQ1iQRPDKuL7EpVGP44fo2I4DCWzNLzzeE6ZcLAM7FKpjOIQR8Ih\nHFEJB4sUCw1kPUDdnSKurWN7eWztpwgLK4gBBeRTaOZVQqnzVPJvEooN8fNfvUA41KOYkQ8eoL6T\neDuAFt4a1O79HQa1h4u6oP2dLpfL3Llzh8HBQdLpNDs7Ozz//PP83u/9Hl/84hcB0DSN8fHxd8UZ\n4OTJkx1j6BWXL19mdnZ2f3tf+cpX+Na3vvUIrD6KHz16gdUPmtHcG8cHDVYPg86j7KmqqmiaRigU\n6ljuKHu6tx97E6zjOAiCgCzLBAIBQqEQf/jb/yt/4T/5ZRzXpX9wimhigN3Ntv1NMj3K7TevMn3y\nJJura8w+fpGl699FktPo3hVcRmnYUQL+FarWKHknjq6sYhg2njqKqoLoXANJxrGjOFaTcMRHFsAm\nRq4oIykDuF4TXbqL71aQPJF8dRPTMJg5cZFkKoEnBQCfZktFcW2yxRCZ4SkEa45avU4g9Qz4Pl75\nKo3oJZRAAt+4DX2XwM5Rya6ixyfwH8pOmpW7hB/KAzxri9LyVfThz6DuXY/GfcTYARCwrRqqFttn\nOF3Hwjd3Ka3foGj2EQhP4Gkeor/ZkVZvlFeR4gMdE0u9tEI42vma4zi4fjdADOrd8K9eXEXT011s\nqyY0kLTJruXj0TCufpq8DebSOv2RFYJ6CNFr7lf4Hw7X2CaW7taQep5HuWZ3MJli9CKrG2tI1lUG\nTv5M12cAaNWQA91pfiH+FMsP/gMjp3+658ealVVCqQOmWYw/wc7S62Rmn0YURerVBvLD2rBmPcvY\noEw01gao5Vqrp97b8zwuX71DpH92H3D0ikisj2t3Fnni2U/2fF8URbL5JrWWyfh097ECCEdivHT5\nFT7505/tvX/NJkuru2iRDLZtox6Raty89YDps22NayI5wOrCm/tg9cat+0z2YIUts0HLzCGKKRQt\nhKhGaTZNNK0NwLzAJPX8XcL9pwGwHZmt67+LG/kJFPU0el+SZiOLGhrAVYbR7Jv4xBGUKOHADk3P\nQ5QThAM7GJ6HrcygNW7R0s6RSI1RsRJoco3iyqtomo0pPUl/bIt64HHqxRWmxlukU/8p9+deoly4\nT3PoNMHQAAIOlh3EsGTERh+irBEPreP4Q1TrAo6ziyptE9XryNIE8UCWvCkQ0KDQeBpBELDrD0jG\na1iNYar1DKmYiedrKM59nKaIq0yhcx9JFlDUMNXyfcLhMNmtW6iKxOc+qjMx2plmOEwMuK6775X6\nYQao7yTeDqjdOxa2be8XHx92M9jY2OCf//N/TjabJZvNYhgGyWSSyclJ5ufn+drXvsaXvvQlPvWp\nT71fu8Xm5iajoweFjiMjI1y+fPl92/57GY/A6gcQhw3wD1dKfpCTwdtJwb9Xcdhkes9H7zj29LAu\n6Tj21HXd/c8HAoGuH3BVVfndf/uP+OJf/ycIgkK9UmRw9ASrS/cYGZvC92F5fhFVsgmE4sw+9RdZ\neOMPKVnniAYtsPMU67OEgxVUMU++MoyqCChijVrdoGqcRAASkSr9/TKFokG+MorvlemLlpGkFRoN\nl3LVIKhCpbpGKNTH1Ikn8T0Ti1k0Z56G/0lU808oeB9lMJnFszbI1ScY6qvQ9Bwk4wZ6YhpHaRfH\n9PdH8Jor7O7a+K6Pq07uA8n+uISPh1O6wU4pSn9qgtah6y0a1jqLFaxllL6LOEYO39phu+ARDY1g\nSJMEHlax2+U7aAOdDFlIriJrU52vSXXkI6DSzM8Ry3QWRnmeh+sHukCpSgUl0M1MKIpKr9urlq/t\n73cwNkoDqBkepaX/wPgMBJOzyIfsrjzH7KljtaurhFLdtlqB2BjNVpHC6lXiw2eRjzDJlWoTvZsI\nBkDUMuTW79I/cgpF69QCeK0GonZkJLGnyK1eJZ6ewRRSRIBmfYfxIZVI9IDdnDn9BIsLt5g91MrU\n930uvzHH6Il2EdTi4l1Onuw8NwBGo8F61kDWjrEuAEzDoOKEiKrdNlh7cePNNxmYfJpiMU9fX6cE\nwPd95m7PMzLbBpyLS3OcPnUwltXVTSLJsY7vaiw1weZWFtfxiA9035T4vs/tm7c49dhzLC0uAyHQ\nJ/ArNyDVZuclRUeUPNxmDbM0z25tAD00DmL7/PtKmmDrFu5DpwBPm8CpLaNEJmkpM4j1WxB5DFs9\ngVSbw9fPQXAUt7GJHRwnosxhcIpwtEKpOYqSu0IgOYBrPCCeGqNcCKG27nD+ic9SzK5Qq2ZptUzC\nkRSmYaAFkkTDmziuit3SabZMBF8mqksE9T7K9ZPUdsF1Lfoja5hWiFRkk2q1TiwVo2qdwvMc5NYP\nsJqDVK0MulwmGPAxalVEtYKsxNnZrhIJNSkUPRTB4Wc/Nc1f/Ezbn7kXQD3cjerPUxz2hd07Foc9\ns33fZ3Fxkd/+7d/mO9/5DuPj4/z9v//3+exnP4vneezs7LC1tcX29jbb29s/siPApz/9abLZ7P7z\nPVzwa7/2a3zhC194t3f3xyoegdUPIA6D1Q+DxynQofV8PyaoXuzp3oQQi8X+VOzp2/E9DYdDfP23\n/ju+9Df+Cf2jT7C1vkgkEqZYaiLYZULpM1j1HAs3vsOpJz7L+LnnsN74LqYVw/XHyaSyFEsiljNL\nf7yIRJXtXApB6icZLRLQLDa2HeymRzIepG5s4rgKLTdKsfCAUEgkqrv4iGSGzxEMJ/A9AzF8kYC4\njaP9FJJ5mVboOVwrR620RSvwUSLSPC1xFr92C6sFcnAcATCrq5QamzS8k8hqir7gKs5DjajnONTN\nEk7lDi3lBD45bKF/31HHcWw85UAC4Ps+LTNHZfMNikYSLTSF07qPLQ51yATiEQn/iA41GAx2AUhV\nUzl6GxSNqF3nqJa9TTh9uutc9equZNZLCMS6gG119y5atBvYuM0iSvJZiq0U7oPbDKYCqLFJJEWj\nUm2S6FF9L3pmT42Z69hUGwKh1GOYy3cYGB5CDbVdAczKJnK0t0eqXdvEC8zgB0LkNm6THplG1trg\nz3FsilUIH2kSJYoiTe1xlu/8AanZz2PVtpnIaB1AdW+5Uu3gKPu+z+Wrtxk58RP7+1Cudzc2aDab\n3L6/xujMJXI7a1QqFWKxTjmB02oxd3eZqVNPs3r/KsM9XLUWF5aJDZwhFImxuvBaF1i9dfMOg5MH\nrHHdFmk2LTQtQLlUomJAZqwTLEdiCe7fuEUimWZkohtI3719l7GT7fatw8MDLK/sooXSCNoARi2H\nHmkfzJYjsDr3fQLpT6EEwPZjCI0bEGsD2pY2g1e9hxw9hSBH0bWHjKooIgaHMOu7qOE0kj5E3cyh\nBFNEArvUPQ9bmkI0FzGVWaLiLWr6M9Rrd6g1VHx/jbAeQJSfwK6vE0/2EwhEcF0bo77LwNB5GnUD\n24kSjmhIOFTKqyhaAE3vQ5EFQloBw8iBGKRuZXD8CHWjQDwWpWmZJEPr1KtZnOATlOsuqn8NlyAF\n43F84xWaUoZaziIQsHAdj6DW4qc+eoYvff7SfleoP+8A9WjB2NFj4fs+q6ur/M7v/A4vvPACg4OD\nfPnLX+YXf/EXCYU6bzgnJyeZnOyef95ufOc73/lT7cvw8DBra2v7zzc2Nhge7u7u9+MYjzwVPoD4\nMOpWD/ucvhexBzr3unSVSqWOLl2xWIxgMIjv+/u9o1utVodm6HDXqFqttq9fDYfDRCKRH7mhQl9f\ngm/+q/+e/OYNjFoR149Q2LyGnnyM9XvfJz12EQSN4s4y0b4UyeEJkpkIIWmeYiODEoiRjm1QqAjU\nrBBxfZ6weA2nuUSt2kBVNJqOTqkq0moJSOzQMu+ih1REESRZIahHUDQVSfQIxceQ/U18bQbRvIIc\nu4AqtwiJ27h620NSlpqYxVUqzSn0SBvUC04ZwVzAkp5CVmO0rBwtsQ2ePKeBlf0eVWeSltL2Co1q\nRQT14MdfMB4g6iN4novfmKe48gotYYKGcBrtIQjriwpdXauOdp5qGiWafifQaVo1mn4vJNgNQCO6\ngCR13j/bloHtd/uoeuYqit5dVBSQbKQebV41igQeIkEpepZcc5qVhQds3vse+jHdoKrHdJHyjHWC\nyYeOC6EzbGzUMQrtnvTtxgW9q6cEp3TwXugs2Y0lWlbl4cdWCad6tyOVJAnDjlHauExEq3UB1b1I\nJAcpFEr4vs8b1+4wNPVkB9geHJ5ke+uAtXEchxu35hmdacs/UoNjrK7tdqzT932u37jL6GzbYirW\nP0I+l+tYZmd7hxZhQg+LspTwEKVSaf/9tbUtAvGxjur+4fEz3Lu7hNNqcff+CpmxbmmB6zg0mgG8\nHi12d7a20cKp/XVqAZ1oyMXzXITAIKqzjes0aWSvsl2ME4jN0rTaYxIEASEwSrPR1rOKUpBAQMOx\n2/pkW56BersNq6ekiaiF9niUNDGt3TmrKc+iNO8gSDpBPYJrl2kpU8juMrY0TTAg4QgjFHdL2NXr\nqHofij6NHk2ih+IEI2nsZgVVdXCby9hWCbtZJRjK4HgxtnZMVjYk6rUdKnUf2xaJ6lVC0g0SkQam\nqVCzRrBbLRxiJENFAuIawdgpFDWM7l5BjcygySahgImMSKtlMT0i8cXPzFKr1Wg229f34danH6Z2\npu9l+L6/39K8Wq3uu2FEo1F0XUeWZba2tviN3/gNPve5z/HLv/zLTE5O8u1vf5tvfOMbfPnLX+4C\nqu/3+HvFU089xcLCAqurq9i2zb//9/+en/3Zn32fR/fexCOw+gHEhxGsvhfjODwhVCoVarUanucR\nCASIx+NEIpF93dreBKmq6v6kaVkWjUaDWq1GtVql0Wjst+zba8V3tIPJjxqJRJxv/j+/RHHrJqXd\nRaKpc2TXrzMw9UmW7/wxoyefY3P1PhuLtxk7cQlFEYiPn0Hx7uDU3mR5OY8qVEiEW0hyjIo5RLX5\nODWzn4DmocurBNQiqgINqw9RlgmHUni+ixIcQgsE8YV+JBnKJQctEKXZKBKND6GJBlbhVrsqGfAq\nL1Ox4jSFcRRvnqY0geqskN9eQIue3r+ukqEKgtKHbK9Qyy4Rio+iBA58NAPBzklWD7QBa3H9GtvF\nFB4yBI7cjR8BpmbpAa7SuYzYXEM50k7Vqy+ihoc6Xqvml3CVHh2hpO4SJ7tyHyXU3QI1eEzP+56d\nr4Cm3Q08legpkNNkV5cw83c7rv1mdRM50hvECq7RAQKV8Cjb5TTFtauUK/Wen/F9n3KlcwxC6AzZ\n9TVaZpFW0+z5OQCnvoakD5GZPEe1Uj12uWR6kLXNEq9fmSM9frHL+ikUibOdbbcR9TyPq1evM3bi\nqY5lWn6b8dyLmzfukJk58EKNJwdY2yzuPy+XymTzFn3pA41u/+A4y6vtlrPFYolSA2J9RyhjwPKC\nvH7lFrPnP9Jzf27fusHoiWfZ3S3hHHJMadRrZPNVEsnO62poZJTSThtkmm6Ijbt/RLl1ElmL4Moj\nhDkotvLlJGHp4Fg66iRq6z4Agigi64PYZr49Tmkcp37/4f+TeMZ9BFFECg3TMjaxxQzxQA6kMHq4\nD7fVQAwO0WoZRJKTOOIsrrGF7GWxnRCR2CDx5CSe7+G7Nr4gUK1btOw62ewyjlNhNBMlrFsUjXEc\nTlA1EsiSj+nOspv3EPwSIelNfE/FbGXIlx1U1UXyG7iOhKjqSIKH69axnDBNq8CpyQB/7299hmAw\nSDgcRtd1NE3bz+jtpb8Nw9ifc6vVKvV6nUajsd/S1LbtfUb2xwnUvhVADYVCKIrC7u4uv/mbv8kX\nvvAFfuEXfoFUKsW3vvUtnn/+eb761a8SiRwvg3mv4/nnn2d0dJTXXnuNz3/+83z2s21t+Pb2Np//\n/OeB9o3tb/zGb/CZz3yGs2fP8pWvfIXTp7uzVT+OIfyQC+3H4yr8MYu9FPZemKaJ7/vo+lt3D3mv\no1aroWlaV+HD24099rSXB9/e3fvh9P5hKcRe9NKe7nVC2dvGcRWc0GlFsvd49LVezGuhWORLf+0f\noydmGBh/glazRnJohtL2XaYv/BSLt14hGgsTig0gaQlaTYMH15fRRItQwGAnJ+ALaTx7iUS4higH\nEZDRAlFaTQvXK1Or2WgBBUWLUauVSSTTVGre/8/emwZJct5nfr886z67q/qe6bkPDIABMCBAigKX\nEEWKIiXeBHYda8srmmF7w6Z2V0s7SNsKhr2xwQ1KCjnCDluyKZvSB2lFgAQPyaTNBUmBAAgQMxjM\nPT19n3WfWXnn6w/V3dXV1UMOKBIzIOeJ6JiYyqqszMrMN5983uf//InpNWztYaLieRz1QTLRMqFI\nmI1KgvERj04whuJcQVYzOHLXu5mJzIMIKNRHGIpt4IW73tEgCIhJV5ElmVJ7ArwKyaERJLU7yLrG\nHPHsPhQtiu91kDs3qNUMtHSvAj8bWsJUe0qXXb9GfPgwstJTuELOVUj0970Pudcg3q8OutWXEaEx\nVDlAkQQSgmZ5lnR+uns8N80IptEmCDy02Ah6NL9dAe/VL6Cm+yvLgyDAqs8TSvX7L9u1ZRQtgbYr\nn9Szm7RbdaKp/qInIQSdwjm09P1dG45zmXw+i546iFu/ihs6NnCe+J5LdfUysdxgNbtvbmC1Fsnv\nuwc11B9SbzcXMP3RPQu87Op5ZEUiOTqYgiCEoL3xIgeOn0HTQ1RLK+TSKunM3v7S5579DidOP7Kt\ncu7G+socBybiXLo8z9TRh/e0OZSWL3HyxGEuXrhCLHeYSLT/Bl1cW2DfeAxdU7l0dZmpQ4O+3sLq\nLONDKgsrDfYdGVwOMHv9Gr5rcer+weXzMzNo8UlCmw9WtdULnLr/BEIIXn7xRxw+9daBz8xdew0p\nlKdTL9Ks+2iKi6cfQt4aO3wD7I3th5DAt5HMWZTU5nnsVrrFWfHueaJal/DC9xD4Hk7lRSKJMVRZ\n0KotE4oMoag6jcoi8fQBbMej1VhDSz9KNLhBzZkmphao1iWSUZdqTZCOVKm1NHTWcMwaQj+CItqE\nw2FKxRWymVFc16VYdgiHE0QiElLQQqKFJCeR5ATNdoDnB4wMS6yXNdLxNrKogzZG0xpBcl8lOzRK\nraWTihZxHZBo89aH9/OpTz7+uqKT9so1vVkE1O4xd69/X287058FtoQPx3EG7kdbQke1WuWZZ57h\nmWeeQZZlPvKRj/CRj3yEbDb7S2eJuEOw549+l6zeBuwmq1veoXh8cLrzjYRhGCiKQjh8k+qQPbDb\newpsDwZbU/J79YveGri2DO27vaeapt2S93T3ttyMyN6sE8rOAVUIwfuf+Cy+mic/cZIAhWQyi2Wa\nDI2M4PphnNYCkgyTxx7HNltc/N5fEA9nQI7juj7hkIamKYggoN0qEwiPUDiF7UXwnRXiiSyObSOp\nYTQ1QAnlcBwXhRKW8giBvURYK+CqbyGpzxNKjGA2q4T1AEfv3lSd5itEwhEc5TiB5zCUbuHKUwSB\nj1f7e4Q6BaFu+PlQZBFb78WWJOQbuPp+dHeJQslFV2yI98igbZZIpaJIWk+JjQbX8CP9xDQiFgjC\n3QimIPDxO6v4xgLJ9BiOY2OYLo26hSRLaKl7+26SUeawlf74JtW+jB+5h8D3adfniWgW0YiKZxYZ\nHtmHrIbwpSihxDj1jdeID98zkNtqlc+hpge7WUmdG9jaYGGR31nB9jKoeu989xyThDJLEDjExwYJ\nkducxZb37XnTlzpXaYtDCHOOkdEU6o7gf6dyse849MG4Tr3lMzKWRw73OmIFQYBZu87BI8eQd/jZ\n12Zf4d5dBE8Iwbmz5xmauA+jtsjBI3tX7AO8+OzXOf3ou7ebL+zG7JWz5IeSuHJ6T0UUYG3uPB3T\n5PA9j+65PAgCXnr2ad76ro/uuXxjdYW2JeO5Ngf2ZUjsiN0qFQrUmh6ZXM8cW1qb4+C+JItLq4zt\nPzVw7MvFdZptj/TQJKsL16i3skiyQsi9hIj3vLK6t4gtjW0fc81bwRQp9HDXWqHZV3D04whrlcBa\no9Ns0LTSKJFDJOTrtIOulSYuXafmHESSJOJcoeUfR5PqGLVLZIZGsY11UvkjNCvzOOpDpCMlStUw\nmViNQkUjG6vRaoMUFBC+RyDHkAODWrNDPJYmpAGoKIqOpkcRAjzXxjAKxON5PGJU6hr5TIOW4TKU\nTdBubuBJQ0RDNrbTQtUiOGaJtz08zb/85+/7uRGvWwnqvxmp3YvYbr3vH7I9W5FbruuiKAq6rm+3\nfgWo1+t8/etf56tf/Squ6/LBD36Qj33sY+Tz+bsE9fZjzwNwt8DqNuDNbAP4ceppIpHoy6N7PZX7\nW8VR/5DQZEmSbilfb6/BdKu139N/8Qf849/9N6wtnCeZGUeWVALfploJI9wlJo79GgsXv0Vx+QL5\nqXvZf99vsL4wh+KaJOJhatUKZqdKIhlGUhJEw1msThFV9bGk4zQb10ln81QbIVLJJprsIWQLk/tJ\n6bN4qoTFo3hWEaHUKJayIOKE41FEYJGQl3CiCUypS0bi2triV58AACAASURBVCKOdB8hsYHR3CCe\nGKcVdImq51l4cs/fGHgtGq1lrMBH6PtBg2hklc6O3ycTriG03RaAfsW/VbyIFBXo7mXahkWl5qEp\nHlrqQdqN3rmtqhdRkvf2ne92exUpOswuroGuRzABWVFIDnX3rVm9iJ54K0WjO0x5joW/8EOiSpl4\nSMORwiixqW2fq6aH93y6dmyDgUosQBMtfL1/KlnVIxj2CPVahSn1PFrqCMqOYH7JN5HVvfui1+od\n9BRIkYOsbhQZy1xBz57A9z2qDZfY3ryPjtGB8Ak21ucZHRXIkRF8z8W3Vjl07MTAeOERwnNd1M2O\nU0EQcPaV8+Q2p/4bzdZNCyUvXbiAHJmEH3OdRRN5ZhcWuffM3jYIIQTLK0XufWiQzG9/z/lzpMbP\n0GrUSKT6W7nWq1WqtRb5ye705PzcBe47vZmF226yUawzOtU/dZkbP8jLP/wWB4+fHiCqptGmVKwy\nMtVV9Semj9G6eAUhjeIqU4j2Elq8e0046n506wKB3iWwrjpJxL6Iz70EbhPHdigvfh039Aiqeoyw\nXkT2uiSqFRwkIq5jSUdpBYdJqldpB8dpB4eJStfpiKOkhk7QNDoE0kOotVlq5nHi8jlsESVClWZ7\nnOGMQ6UxTDbVplSZZijtUqpYZFJZsopBva0RjenoaoBl2SytVIhqFSQ1iqzmsD0Z3ymQjUvY3jCm\nO0qtfI5kZh+lmiCi29h2BM8t8sHfOMV/8k/2jiP7WeFWxl14faT2J6m0u0ntXgR1dxpMq9Xim9/8\nJl/5yldotVr89m//Nn/6p3/K5OTkXYL6JsBdZfU2YcvcDl3y1mq1SKfTP+YTP3/cTOH9eamnW393\n4kDxX//+v+PSQgRFlUjljoDwCcWyuGaR6VO/yeLl7zA8eoDc5DEWLn2XUGyS4sz3aTV8PGkfmp5B\nFktE1CKR+CiyJPA8k7Z7CLuzRG4IOt4BwlqFUAgsUyKRlGh6R0mGCnjWOqbcnRYeSa2CHKVebaMo\nLkH4OJLcbdOb0q+jKBqFWhZdrqHF9yNtBuhHmEFJ3YfwW0SCNQprSyiZt/fafpqLRFLjSGrPw5oO\nrWCrPRXSql8lmpogJNWQPJNazQS/gx/r7+meUucxpH41LyHPYkj9hEd3Lg+otHZ7HT0c3e68tYWw\ncxVT7Z+KD4IAzV3E06a755UxQz6romoKpiOI5/otA77boVldIZbt3zYhBMbGWfTMoBKrWFfobG63\nMK+TG46hpY4QBD7VtUvEhvawABiLdLz89pQzdMl1Rp9F0WO42qE9H8QCs0C5IW8re4G5SDaj02pV\nuf+hRwbev4Xq2hWOHD2M7/u88qPzjB3qTel7joPbWWFy33TfZy5duEB8+Bi6HqZdvsaBw4NktFws\nUCzbWJ0q9z+4R3MG4OrF10gMHaddm+HYyXsGll+/fIlo9hC6Hqa89BL3PNBrq2qZJlevzDB5sKcM\nN+sFhpOQGRri1Zd/xL7jgyS41SizML/ExHiWianefgVBwKXzrzBxsD+D1TRaXDw/Qzx9AM29RhA5\n3vv9vTq+00RPdNfjGwt4xiL1zjByaBJNquHaJlKo+9AWl+douFPIsopKE8+qIfQpCCxUfwlbPowi\n2khuCUfeT0wrUG8KkFMk1Fnq9mHSkVWKFZVU3KNZXSQcDqOpAkmWaDU7aHoGz17DsIeIRxyE30AI\nBYRPoxNHUg8hywqB12Y4XaRlmKQSWURgIGSdphEiEarioSKJNgiP/+qT7+Idv3J0z2N4J+P1KrVb\nn9kizWfPnsW2bcbHx8lkMjz//PN85StfoVQq8f73v5+Pf/zjTE9P3zH3nUajwSc+8QkuXryILMt8\n8Ytf5JFHbn7t/xLgrrJ6J2F31uobGRt1M+xuVbpbPdV1nXA4fEvqaRAE2z6hn6V6+kbhf/7Cp3nq\nK9/mC//bsyhakmhiFFUJoyYPsTbzA/adeJzZV7+N2aowfuhMtwDr9IdZuHwWYSyhaQ3aVpK2N4XT\nmCccMognRnHdG8SHx6kZMXT/Ip4I07bvJR1dwwsSxKUZrLaHo96DBHjGFdo4NJ3jBIQZTZl0AgUC\nG9X8EXVrAqFNomgwnGzT9HtT2qrsojtXWN8QVLVxcsOCVtA7v4Yzgo7cI6pOewlTH0UGArtERKrT\nMZYpNAV6rKtMBQTEQ2vsbGPh2g06JPvUS8/p0FHjA4qmqkXY3QIjolYQen8RVRAE2MGgHcVtXkXE\njiDTPV/1xDHqLkj1i3SCUXzrFZKZGIHW9RYr3sYAUQUIzFXk2N7T8obhIG0+r0mRo2w0HBKNH4Ic\nEMk8vOdnJL+JrPbvg6qHaXEP5uL/w/B0HvRBH6nkV9HDvYcDT0riCp9kdopGrUQqs7cc22h18FyX\nl196mX0n3rHre3UKKy0m9/Veu/TqS8RHTqNvTn836u2B8aZaKrBR6jA0chDHGWFteYHxHcQQ4Ma1\nK4STB1B1HTcI0zHaRGO9h9ul+TnU6Oj292jxKWrlDTLDowRBwOULFweKupLpEZbmz7G+ts7k0cGb\ntG2ZLC0sMzF9P6XVKwzlOoTDXbX7+oWXGJsePCarizMM5YYwOgZCPYreeQ3imw8mappwUMB1WqjO\nAqWSSlQfwieGDLgiQzTUoum20bQ4Lf8AcekyHU7ikSQWNagbddRQGknJgbmGr40TCrvQWcdgjGxq\nlXLdpMUh0qFZ6uYhhrMl6g3Q4ifQpHXqnTHyqRKWlyIaA1UZxXBDRGMSspSkXOlgeRNIiocqZkiE\nwRdJGsYQXpDEaL1GIpVCVlNonXnCsREqpUViYYt//an3c+bBNx9RhR+v1O68N20V2+6c3g+CgOee\ne45vf/vbFAoF1tfXEUIwNjbG/v37OXv2LBsbG3z6059mbGxsz+94o/GpT32K3/zN3+Rv/uZv8DyP\nTqfzkz/0S4i7yuptws5YJuh6aBKJxG3LWt0il51OZ5t0vh71dEt9fTOpp7eCZrPJB/7x5/CVEbKj\nJ5BliKVGMRrrjB96gOLyLIrsEU/GiaQOEYqkWJ99EatSAb+NrKgYzjCeyBJRZ9E0j3gsS6NZR40c\noGPHCDpnSaVU2u4RFKlDIpuCAHQKBGgYfpfMZCPzdJQjpPU1ioUGqWwGw+sSJMlbJRQfR1KiyEEV\nOtcx3CHkTe8qzgKh9PS26up5FumYgad0B2whBEH9+wzl91OtNGmYw0iSRjJu4cm9yn3RuYqaPNE3\nFas7VwliuxQ28xJyvF/ltFtLhGJZFK2/YCcq5jGVfk+pXbuImjg+MOUb8a7TkQcVwbA/i0FvHXZn\nnVzcIPC7+aq7W8Aq5rVtK8VOCGuNjpvs87Fuwas+T2Z4GCnR75f1PZt64Trh9CD59Z0WjfI6Yc0l\nP5ZHivQIre+7lFcuEkp1p68ds8DYWJpEqtumqrT0Esfu3VthadTKXDv/fe5724f3Xl4tkIz6DOdH\nee3ceVKjJ7YJJHR9xmb1KtOHu9Pt1XKZ5dUS+Ylegdz6/Mvc/1CPCC7MXMFX88STveKu+vqrHDvV\nJYHFtWXqbYn0cH8h28bcS9z/8Ft47dxZRvef3vNhdf7aeTRV4cCuNq1CCC6efYmJQz3ltLb+GqdO\nP8DK4hxCSRFLZPs+s7owg6SmiMSzbCzfIJCGUWkhfAM1tq+b6WzPUFq+ikj0iH5cmqEljmxvX4yr\ndKRNO0LQQfZW8LXuuRcJrtAOuu+NyqvUjRiKniSmrlNvhVC0NEltnlJzGFlWtxXWqFbHsppYbo7h\n+Aob5TixsExILVJsjJKMGETDHdaLMprcJhLqIEkhVCWCoocRgYRtriKrSWoNn2jYRtfAdnwCr8TR\nQyP8j//dx4jerCvFmxC7xRNJktB1fbtoF8BxHJ599lmeeuopbty4wbvf/e7tSvh2u70d0r+2tsba\n2hq/8zu/w9DQzZtgvFFoNps88MADzM7O3u5NuZNwt8DqTsKW4riFZrNJJBJB0/Yw1/0ccDP11PM8\nksnk9iCwOxZqJ+ncGcy/Uz3dquD/RcI///3/hZfPLpAePUk4lELWdLRQHE3z0SJT+E4Lo36dww98\nBCEECxe/heRDRBb4vo0fuJjeKLaXIRXdwHNtUukYrUYNPb6PtpUmCDzS4auEI1k2ShFy2RYt/2i3\ntaJZIhNbwXaTOEyTDs9jKj0/Yz6+ihUkUfwKa6UQ4zmXhjO9vf355CrNoFfUpHtXkRL3ongbhOQm\nxUKVcGQIi55fNcp1/Ej/lHdaX8Cgn+Ql1QU6Un/BVFyaoyP3v093Lg2sz26voocTyLtUx4h3jY7c\nrwwFQYDqruJr/WTIMgpoqg7qrgp8o4Ii+wRundG8igjlUcIj3RSA4jm01P3shmZfo82hgdd9z6BT\nXUWJ7ScirpLO7UcKb5L4zhyG2CMpH1DtG9Tt7jLfWmU0B2qya23wWzO0/C558sxV9h2YIhTu+WML\ny5eZPrifSLTfltNuNZi9dg1f6Jy8f9DGsIXVuddA+ANEdQtLMz/ioYcfpF6rsrhQJL/LJ2qbBrJf\nZmLfflaXljBsjVS2X40qr11nenoUx3VZXSlu+1B3wmjVKC08z/iRx4jEBqN/SuvzdEwVyyhz5MTx\nvt/g2sWzDI33F+gZrRqBtYSsxhke639wqZY3qNcMMrluaoYQgpX5a2jhCcL+DXw1j9ucpdLZj4qD\nSgFfO7T53oAYVzGV7jkqfJeINIutdPdJlyp0LAdFH0WIgEhwGVM6SRB4SO0X0GP7UBVBuzZPKDyE\nqoVoVpcJR7PIskqrvkosPo7nG5h2m2RiHKO5igg0wrEU7UYBRdFpt2pY3jDJRJJIWEJVBBIBjfoK\nWiiCFspiGAqONUcmM0y9USNw1vjg+x/hk/9s71a3bzbsRVC3xJOdUVt///d/z5e//GUuXbrE448/\nzpNPPsl99933ppi9Azh//jyf/OQnOXnyJOfPn+fMmTP8yZ/8CZHI3hF8vyS4S1bvJGwVGW2h3W5v\nd874eWFnK7ndA8CW+lmr1ban+ndXze80sf8iqae3igsXr/NffvqL+CLG0OgD2J0V8vvfQXHpWQ6e\n/o+wjDLN4mtMHnsMEQSU1haQZaivXCAWHSIcUrCMIrI+SsPIoiptMtkotYbNUMLCMgsY7jFkLUVY\nXUcJjyLwyUQbGK0yHbo+P9+rkc2GsIMhROAjO5eRhUPTPYCmxVH8BdTYAaTN4H3fLhBPpxBKl8wp\nQQk61/BJ03THUdUwEWZwtf5inqHYOu2g1+bUsxvEIj6B2qtYd4w1IrEkktYjm45ZI6QHSHr/FHZE\nLOCo/d1ddOcKbrg/7irwfRR3lUDvJ4BO/QJq/CTSrhuRal/GVgdJkmpfxpR6hNexauQSZYRwEJF7\n0MO7vNlBgFE+j5a6d/eq0N1Zml5vXt23ioxkDaT4cWhfw9L2thSYpbP4oZ7q7NkN8skCWvY0Xu0C\nTX8ayd/gwNETN4mReo1jp3qkulIusLpSYXj8OK1agVRSJT00aBUQQnD2hf+PqUP3k87mB5Z3f48O\n7fI1TFffLk7ajdW5s4xPjFGp2QyNTO/5nuXrL6DocSYODP5uAOtL11lbXuLhX/21gTGiVi5QLddJ\n57uEsbp2gZOnu00Klm5cRImME4ntajTRaTJ74XucOPM40R3kt9NusrywQH6yf1/KG/PUKm2ycY/K\n2nX86Nu3l4XkGq5jI4U2Fe+ggyY28LTug5YimgReHfTudRCT5mmZCsloQKdVwjLq1IwMir6f4fgy\nxUYGWY2TiRZpNHw8KU8qUqHTMXHEBKlIkY7VwXQnSUeLuHabprWPRLhKJGxRqkgEUp5YqEYqDq3G\nGp5nEw6H0EJZNE2jYxRwXB9JDmGba4zkovzBf/tx9u/b+zi/WXArBNX3fZ5//nmefvppzp49y2OP\nPcYTTzzBmTNn3jQEdSdeeeUVHn30UV544QXOnDnD7/3e75FKpfjc5z53uzftduIuWb2TsDu+asun\n8rPMWt1LPd26+Hd2Ldn55zjOQNzTTmyR163s05+UX/qLhiAI+L3f/wIvvdYiPXqaIDAZmX6M6srz\nDO97CAmZ0sprjExMg6IjKUkkWaM0f4Gw1KRu7sf3LbCvMToSR9GGKNYi5NIVap0DSLKC5zbJxpc2\nFVaVdMLCFNNIcld1H0mv0nbzJEJVyqUWqWSYmtUjlSPpAg2n9/9sdAFL5IiqdWrVJm3DQU8c3Saz\nAOnwGsYOYiqsRfTkJLLSe8IP+3tFWF3F1ftfk61LENtlAWguEErkUdT+hgQRsYCl9BNYr34BOXHP\nwPl0MwuA7s1jStN7vD7bt09biIkZOqbHcD6Jq+1HUTdVR2sRU4ztedMTrQvY6iAhVcxzSKpOZPih\nwc+YyzSNBIrer5IEQUDIfRnDTZHMjqEpFpMHBjNdAZZunOW+Bx5AlmXWlhepNYNt1RCgsHyRE/f2\nx1j5vsflV8+SHT9No3SNwyf2JpGtRpXLrz7PQ7/yvj2XA2ws36BZK3Dk3l/Zc7llGlw+9wJHTz24\nbV/YiUphgVpDkMiMY9VnOHi8p6wbzTrLS6vkxnv73moUSCdlCAQtwyU93P/A4ro2C1deIrfvEUor\n57j3oUeRJAnf97h+/nlGD/Y3GGg3ClTLVaKJYZZm5tG0NDFtFXuHap9QV2lYabTN1rchqYLpBCih\nboe0qLKO2TGIRyQqpQaq7FHvTCBrUSQsEtoaDbt7Dmei65QbKpI6RERrgl/DcCbR5A5RbZ2qMY0i\nOWTjBTaqCSQlQTZRwupYGM4kgbNBIrQMkoosSXgijAg0PD/AMqukUzpqKE+5eANVqvC+33iQ/+x3\n3rsd87c1Fr9ZsHWP2at4d2cu98svv8xTTz3FD3/4Qx599FGeeOIJ3va2t70pCepOFAoF3vrWtzI3\nNwfAc889x+c//3m+/vWv3+Ytu624S1bvJPy8slZ3Xvg3U09/kvd0t3qqKAqKomyT25tVaN4sYmT3\na28m7CT8W/FWqqpiGAb/5J/9WywmUdQQwxP30awsEE2MEk1kcD0FOajiuk1GD74LgLWZ7xLYAsWv\nI4Wm6djdY51LrVBpRsmmXDRZYJgNDO8EsqwiizKJdArLTSICG13MEtah0soia8PE9SVsaRpJ6hJZ\njQXk0AEkJYQiqoQo0Om0abv7UfVuxXk+vU7d7hEe2Z1DCh9A3tFBKhOapyP3E6iEtoQldX2hQeAj\nnBKSPUs8PYUsBUgIgsCnXV8lEh8lEIIg6P65xjp6fBxVkZAVGUWWcJw2siwTiWcQqHiBgu2pxNQ6\nttavlHqeg+YVCfT+WC2rtYiiZ5HV/uvGbi4gqVkktf/hL/Ad3PYcSvTI5r7PMpIL42r7CPnLA+kF\nALglmi3QI4NpHZFglkItzETOwI8eR9nxG6rmZeruoKVACIHceY30xMmur3LhHEfvfWjPayMIAlrl\nWVzHBm2YeLq/xWytuMzIaIp4srtttmVy+ewPGD30jwCoFuaY3Dc2MP1er6yzvlohlhpDU9rkRvex\nG7XyKqViC9dqcuL0wwPbZ5sdbly7TH7yPiqrr3HidH9Ffr2ySrHYIrOpmlY2rnPg0D6isQSW2WHu\n+jVGpgaJ9NL154knM4zu638IEkJw48L3ye176/ZvY1SvcfTUA1x59YeMTvc/MFhmi7WFqwxPdMm8\nadRZX1gnpKmoUh1vh8qfUGa2PagAcWWJpp0kHW5Qq9ZRUKh1EsibVpNMdJVyM4GiJhGBSzq8SLVz\nAFmWSYYrtDs2njSKjEVCW6FmHkCIgGx0mUozgaRkCEnzeHaBeCKPIkOr0SQcjqJq2mZOsUegjKEH\nrxGPa4SiOdrNVdrtIg/ef5B//anfIh4LD+RJAzfNML1TxIWdIooQAk3T0HW9j6C++uqrPPXUUzz3\n3HM8+OCDPPnkkzz22GO/cBazd7zjHfzZn/0ZR48e5XOf+xydTofPf/7zt3uzbifuktU7CVsq5hZc\n18U0TZI36fv949bzetVTuHXv6a0SzNfT7eRmA+nt7HSyEzujtrYy+3Z6cXdu2yuvXuJffeYv6Tga\n6dwxAt8mGh/Ftcvk9v8arcpVXKfB5LHHAUFh9gcoegbRWScWCWMaBbTIFLVmDF9ojA8XqRjTm9vh\nMZxYJhTJEngma+sN8qMj1Dvdad/AazOUCTDc3jRwTDpHMj1Ovd6i0kwxkWtTs3o3ZVUsIYWn+lTV\n4fhanxLr2i1SCR9fyRM4VcJaB88sbUZz6hiGS6sdoGsBUuQQktwjaIG9iBoaQ9qhyHqeRVyvY9Pv\nd0yH5mg4/WTOsepI9g1S6QyJZAhNDyEknVppnkj+sYHzQncuYyqDFoCwd41WMEgUIyzScicHXvc6\nM8S1GvrwGWS1n9iF3Gs0vMGmAkII7MpZxKYPNyJmSOX3EWh5fLdDq7yEGutXjV2ngyrXGdt3eLtI\nKwgCrOYiY/sGC7583+PcD77Bkfvetd3NaTfKa5c5evIURrvJ3NVLDE/1V8fXClf61NXyxhrFYo2h\n0S4xLyy9yon7z/T9tpXCGqVynWz+MJ7ngLPRt3221eHGxVfIT3cLwEyjQUTvkB/vnkfNWoG11Q2G\nxvqn5GtrFzh6731cfe0VRvcPqtGW2WRlfpZwSOLgiQf7ls1feYHUyAN9alq7sUG7eoPJQ4/2N3dw\nbZZmfsTwZD+BXp07j2loJGPguB7SZgqFEAEJ+TqmfBI5aBJTCpQ3VjDEcZTNB55UuEijLYM6DEA6\nskG1qSNrWUTgk4nMUzH2I8sqEa2J79awxBSBb6C5PyISHSUcjtBq1ACPekMg1GMoUpOhlIeqeFRr\nJoaVR1OqxMNVWq0mkegInlfHc6tMjkX4z3/33Tz04N62jZ3j/E+Kf9pp83ojSO1eBHVn8xchBJcu\nXeLLX/4y3/3udzl16hRPPvkk73znO9+wWo7bgfPnz/OJT3wC13U5ePAgf/7nf04qtXcHul8S3CWr\ndxp+2qzVm6mnuq5vX/ivRz0FtpXXn6f39GYD6e5BdKdK+3rbpv6027UXYd/6TW5lqunZ77/C5/7t\nX+Mpk6hqmMzoQzTK5xmZfjuSBNXVl0iPnCCaHKFRXiGR2Uenep1qKUDV0wRBwGh2lUodMikNXVNo\nt9Zo21OgdMnoaLZA1eyRynxylao1RipcR1Mc6uUlDHFq++aqiA306BC+6KmOu1VV4ayiR4YJpAiq\nKBEPubTq80Rio1SrJpafQwulGI6vULen+/Z5KL5CzepX5IYiS9SdXb5U7zKOdrLvePlOh4jexpX6\nlcKouI7BoLqZlG/QNAJyuSihSAjbCxGoI2jBGo7Sv11BEKDYizjKYNFTyLmCIQ1G+sSkRWrmGJK7\nwtiohqNMImtxgsCnU7mAGh/ME1XcRZpWt9p7e7/sEhN5G2SFptv/O1jtDTJDMTK58d2rorDwEkfv\n688XbTWqLNyYIZ07jvAr5McPDHwOoLQ2QyYTYWO9Tm5ikMRUC7NM7p8gEo1TWJmlWvfI5nvr8lwb\n4RYZnewS8vLGKpVqp89uUFq9wLFT96MoKq5jcuXCq4ztIpvFpXOcfOBhOu0mKws3GJoYLGBrN0tU\n117j0Kl3DSyzrQ6LM+fJTT6I2a4Sjbjkx6cBWJ75EeHUEbRdlory6iUadYOpg4dIZrrnkhCCuYvP\nktvfb12oFm7gujqqFqVW3GAo7tK0E9utcSWviGxfp2GMIpSu/zMbXaXciqNo3fckwhU6po8vdZen\nIl3VXag5hBBkwnPUmiqZlIrdqeLYHap1GSV8FF01GE51KNccnGAChEs20UDTXAqlbuPhXBbahkW7\n7WI5oEotNGWDsVyUT/+rf8zJ47sadvyU+GnG4p9EaG82M7BVI3Ezgnrt2jWeeuopvvOd73D48GGe\neOIJ3vOe9/zUbb/v4k2Pu2T1ToPjONtkUghBrVYjk8kMXPS7s+WCIOjrcXyr6ukWQf1p1dM3CjdT\nA36WtoObFYv9NG1ed+LK1Vn+5Wf+b6pNmezIaRzHIBxNEUuPY9SLKLKDrMtEk4eIxHKYzTVq62cJ\nqzI+Y1huCiEEo9kNyu3929sxlFyhaR/Ac6skwy1wK0halEY7Buo4kiiTSMYwnd4T+WimQNXskckt\nVRVJQwmKJCIBZnMRRR+iXHFA24cILNIJh463o1jD30ALpRFSj/QKdwkllO/rbuU7ZaLhEJ7U/8CV\nCq3QdPuJY1hcx5YHfZoRFumIfgLsmSsoWgrk3vcHQYDXeI6hkXFSqTSmnwC9S1bc5gWEfmygEEvy\nq5gdDzXcH1nTnZa/iK30tkd2Vxgd1bAdD1s5sucDi2ZdounvEX8lBKL5H0iPPYonD+G5Fp5TxXdq\nHDzxEIo6qBK5jkVgr5Gf6BL19eU5ajWTTL67/uLKaxw9tbdVoFxYZnXuCscfHCSAW6gXrxKN6rQM\nldTQoLK8sfQqJ+8/Q3FtkXrTJTM86PXt1GYY33+IK+fPMnbgzMDyIAiob5xDoDI8OZhSIIKA+csv\nISSNQ8fvQQv1iKfrWMxfu0Busue/rZfmmDowRau6jicSxJLD/fu9Podjy8RSozQqN5jcv59oIsPC\n5e+THn+475jVSsvYHZt4Zmrz+0yKKzfIp1xa7hjpcIH1DY+AJKnwOk2nd1zT0QINQwOle97EQnUc\nq4MrdR86wtISrl0hHktRrXbQtAiqbFFpjyLLOiG1TSbRYqOsIORhEC65TAPHNqhUyozmhnE8nbYp\nEwQSruMhe1dQFINT9xzkv/jdX+fQwduTCXqrKu3u8XjnMlVVKZfLJBIJ0uk0kiQxPz/PU089xbe/\n/W0mJyd54okneO9733vHVcEHQcCZM2eYnJzka1/72u3enF8W3CWrdxp+XNbqXurpVrbcnayevlH4\naWwHuz8ny3Lfb/KzRLlc4V/8N/8rMwsmWngEPTyEqoOq5wjFRqkVXmVk34PEUmM0K/O4LrimjWl0\nGM+ZrJdV4mGXWFTDtYvE4iM4rk6tFUaRTOLJKC1zcZYsxgAAIABJREFUs+tREDA2XKJq9AhhVFvC\nlfaDpKJSIR5xcY1V1HCWUtkmUKYIKQVQ8wh6hDMTXaDp9hOwfGKVqtVPXoZiS9R2Ka1pfZ7WbvJm\nz4E+iaT0p1wktRVaXj+Ble0ZXHW6T6kESKlzA2otQEKZ21YvfadNTN8gOxTHaJUI4o8MZLTGuUHd\nHVyPLtapGzFUdTDeSW49x9D4AUx5GnnnPng1mrUWWnRk4DMhsUq1kQDRIJ1ooCQOkcx0Y646tWuM\n7t+74Glt/izHTj3IjctnUcITRBM9Uu25NsJZIz/ZI9RCCBZnXiUgg2sbjE6ME47tPX04e+F7xNIj\nDI/tHRQfBAEbs/+BcPIIqeFB/ypAaeUCllFm6tje7TutTpO5yy9w4MRbiO7KPhVBwNzlH5LOd2Oo\n2pVXOXjPr2zum8PclXPkpgYJ7urMd8iOHiU9PN33erWwiNnxiad7KnWjdBlVNkmM3Eso1LNMtKob\nNBsNUkO9dVhGnVppCVX28RozWNK9KFr3YUgIl2x4kZp1eHvcSEYqGKZHsJk5HJIKeOYckcgQGyUZ\nRU2SzzYoVFSENIwQgmyiSuAb1IzJ7lijdIiHVqjXyoR1CTcYoeMMI0s2ihzgmzdQtRYhLeBtjxzl\nP/2nj5PLDRat3YnwfX+7CczW2LrTf/qpT32Kb3zjG3ieRyQSQZZljh49yoMPPsiBAwcYHx/nPe95\nD9nsnbW/f/zHf8wrr7xCs9m8S1bfONztYHWnYSdh3HoyNU0T3/f71NOti3s3Qdtax86uUVvkdqd6\nGgqF7jj19B+KnX6rmyEIgu1B1Pf9roK2+Tuoqro9RWXb9k1V2d1e2lvF8PAQf/F//vf4vs///sVv\n8O+ffgERHMM0lvGcFkPjZ6gX56kXZ0gN70eiTSw9RjyrUK3cwDYqyNJhYuFVTP8YrdomkRI10hmd\nmtHzNueSK1TaByFoEY+YqFIH4TfRFKhWLDx5EtUv0rBOINlKt6tUEJCIKTTtHlEN3Cp20K9eCW+D\nujnUN3z4bpGmle17LfAcXG3QU5lNq9TsfqIqObM0xL6B9vTJRIia3T8kuXaLjhj0cfvWCk01B5vr\nUPQ4FodZXl0HaRy5cY58PoonxfDVKQSCasveKQRvQwkaqOpgQLhGhaZ0HLucJsQVhnKJLmmVFSJS\nCTM6qD4CCLeOEBHCUZ3E2BlUrbf/ZsfC99w91dVQOMmLz/4t+0++a+C8VrUQGytlchObubuWyczl\nc2Typ7ZbvK4tXeHgif4WqUHgM3flFUKpEzTrCwzfRKArLl+mXHU4Orl3xyzLbFGvlLcJ3W4YrQqF\n5TlG9v8qy7PnOXr/W7evFxEEzF/6HumRntqpRQ+xvnidkalDLFx5kdzUYPODRmkWlEnK6+ukhnqz\nDPXyAh3DJZHZlRRgO1RbFrGsA5tk1WgUaFQrpPO9hyjLqFArrZDOddMd2uoQofo1Aj9DoIwgSRpV\n6xDDsUXKrREUNUrTHCKqVbHaPyKZzFIo+vgcJRKuomsBroiwUY2gawbZxBrrpSi19hBCZIlrlyCw\nkYSgWNRAux/X1RBBG1VeRfLm0YCDB1P82jsf4UO//Y43RZX7zvvN1v0qHA5viyFCCAqFAk8//TTr\n6+u8853v5AMf+ACnT5+m1WptB/Svrq7y0ksv8Za3vOWOIqsrKyv87d/+LZ/97Gf5oz/6o9u9Ob/0\nuKus3kZsFVXtjO3YuuBfj3q6paDCL5Z6+tPg9RRHbeH12A5uxUt7M7iuy//wP/1fnL1oUq1WSOeO\nIUkKkppEliyM5ioTRz+ALMs0ynP4VhnHi+K5PjI+gVdjOGOjh8fQNRVVVegY6wRSFMtSMKwEsppk\nbLhCudWb6tUoooWSOEGPaKRC87T9I33bm0uuUDWn+7Z5L1U1G10cUDojzGDLx/p9qXYJPRQikPvV\nvmxoiZrTv07PWkfVYgi5v7gpxgztYHCqPa3P9RWObSGp3ujbhyAICEkLRLUmcvwIgbqLrXkNOq06\namSQxSXkGapm7zuCICChLxBLJmm1TKTIoEop+2tUKwaJdIix6b0V1GblBpMHet5SIQTLsxewLBnH\nanLw5Fv2/JznOfjmBpFEkpWFRYbG+n20rdoamWyCRLpLOC2zxcK1S2THutvRaZWIJ1TSQz01UgjB\n/NUfoUcnCUVSGOVXmTrW753ttKpsLN8glTuFadSIhB2GRg/s+N4ixY110sNdC0PgedjmElOH70UE\nAbMXXyQzOhjUXi/N4lplxg8PxmLVi/OYhkcsNUHge5jtOaaPP0SjskGjVu9TSQEKi+dRw3lCkTTN\n6g3y4xOomkZ5fYXMSE+N7rQqtKsrJIZ7MWSt6gpWp40kfCS/QrAjoiwTWaPaVBhKerRbbZpGmpFs\nm0odvM2CQVmyyKfrFKsKgdT97XVxlbDugAhotjVsP4eqZxCBh/ALyP4lFNllKB3iHW8/xUc+9Hay\n2cxeh/2Ows6sbt/3B5JmhBCUy2W++tWv8swzzxAKhfjoRz/Khz70oTuKiN4KPvaxj/HZz36WRqPB\nH/7hH95VVt843FVW7zRsqX5b6qlt29uk6FbVU0VR0DSNWCz2C6ee3gp+XHFUOBy+JYViK57rJ33P\nXqR2a9rrVtMO/s0f/C6SJGHbNp/5g/+Dy3MStY1rxDLHSY88xsbss0QTGaLpQ5jCIx5PIoKukihc\nlbZ7D2wmnqVjq3ScQ7h+1+el6jCSXqHUnGbrNAh8i2QaGtYORcyvI9Q8UrCTWC5TbQTooSIhVaBq\nYJlVLBMykUUIBIHv0+k0aNigqTZ+4BP44HkuBiYoNhISkiyhyBKyX0SWxghpG8iKjKooOK5Np22T\niMg4voztKPhSmqFEh7rTa+sK3XNdqGHoj/rFc2q0g8Hpbs+u0nL7VVhZlrGDaXRWqBUC0tGzJFNJ\nOmIESUkQ00o4kcFpbymoU26G2RGagCzLGN5BgtoNAuERCa/hSFvV5AKrUyCsS4wfvJfS6vnta3k3\n7E4H17XRtBCteonl+RukcveQiMp4jkVpbZbc+GCSgarqLC7MkMjuGyCqAInMOIXViyTSOeqVDQpr\na9tEFSCayFFYfolUdgxJkjZ9oudI5XZ0iNLGaFVXSWS7hTz1yjq1UolUbjPxIJahVrhAMjuKpke6\ny8vVbaIKIKsqrqfRrBUoLN8gO3r/wHXouRaNShlJ0XBts8+/WtmYwbUVYqnuNsiKihoe48aFv0cL\nD5Ee7k9mWJ87h56YILSZk5rMHmZ14RIiMJg68qvb7+u0irSq6yR3ENVG8SoBUZLZA5vHJkur9DJC\n2U84EkESLopXw7V1aq00ipqgUE+gSCajmQLFikRAno3aKIq4QSq0AQhMK0SxFkfRJpAVGfwSdu0p\nFKXN1MQoj7/zQT70W29/3ekvtwNCiIG0mVAo1CeIVKtVvva1r/HMM88ghOBDH/oQf/3Xf83w8PCb\n8p70zW9+k5GREU6fPs13v/tdfoKodxdvAO4qq7cRW2R1iwi5rotlWX1ZedtTaTvI0OutVP9Fw8+r\nOOpnsV3AgCr7k9IOHMfh33/lFf7qb/5fhDoJShzf8whH01hmkfTIWwhHh6mXruF0Gqj6EOloCcPd\nj6DHpoYSy5RbeTynhiqZaJqCLhUIxybRNAVF6f4uHWODWGIcx/GxLY9Wu0MyodB0DiBvNh4IAoeR\nTJ1Kq9+TmU9tUG73VyRnY4vUzH6VUw42UPQkXtBvDcglVim1ep8PggC7fZVELCCVzhKJ6CiqjufL\n1KvLSNGHkJX+KfOEfIOmN0jmEsrMnmqr5l/DFAeRpN61EnhFRjIWjtXGDT844G9NqnNUjEESKwIH\n7Dkc6QC+a5DPlLH8KLKeJpGd3D73PM/BtQrkxgdVYYBm8Tyer+L6EeLp/oKn8toFDh5/qK9AzOo0\nWJ2/RiSxH98ZbI26BdOo0K7OougjJDKDhVSB5+GYC2SGJ1mZmyE9emrgPaWVcxy9761UNuZot7yB\n6fbu9p8jnZugUbf3XO65JguXv8PBU7+OtqvVq2M1WVu4Smak+92N0kUOnHwLsqJSWb2E68WIJvq7\nMbWqC9QqJeLJxLbnVwjBxvyLRNLH+/zG7fo6druCGsnjOUVG9p3Es5s0KkVSuZ4aXlq5RCiSIxTp\nPviY7TLtZoFU9ghCBDSKFzA7PooSQ1ZixMMW8ahBsRpFVrsqoewvEA01kCWB40Zod8Cnax0wmtdx\n2t8jl9XZP5Xnwx/8R7z719+x53G707CboO4s6N06xxuNBt/4xjf46le/imVZfOADH+CjH/0oY2Nj\nb0qCuhOf+cxn+Mu//EtUVcU0TVqtFh/+8If50pe+dLs37ZcBdwus7jR85Stf4Qtf+AKhUIjx8XHG\nx8cZG+tOLVUqFebn53nyySd5+OGH+6osd6t4P25q+nZnlv6ssNWedutvS1Hemt5/M+En2Q6++bff\n59vfvcpGWcUOJmjUlojER4glR5AVFeG7qKE8rlnEbC6jyAGZZIi2k8XzNSCCBIzlKmzURpGk7gRK\nEASMZlYotab7zol8eoVyu39aPpdcotza1/e+VHiJpjO1vT4AOSiiheI4fr+XMZdYo2z0k1qdZVyR\nQ0j95CUXX6bU7ic8QRCQiaxSb7oMZ0NEY2GErNPqgK6CFfSv23PaRNQ2pj88sJ64tkLLGYz8SWmz\nlNtTRJVFcvkULTeLkFPgd3DMApI2SMJS+hLF5kj3Zm5X8L0i+4+/dSBSCaC8epF9R+9HVvonsMrr\nc6zNX2TyyK8QiiQGPhcEAWZzgfHprlVgfeES7bZDerhLfBvlWXKT+whH+lU51+qwOn8Z26wzfeJX\nB753C6uzP0TVdIYnBguatr5/beZZMqP3EE0MFpABrM2+jCS5jO3qGAVgtmuU1m6Qzp2kWbnAvqOP\nbp9HnVaV0voi6Vx/EkSzcol4IoWQEkRi/f7h8to1BGEi8RyeZ+F0Fpg4+DDLMy+RzJ1AVXsRR/XS\nLIEnE030bB3l1R8gZI3Jw7+6OYYGFBZeJjHUI7mt6iy+K4imug8ordoSrtMhkT6ICHzKaz9C1bLI\nagireYN4VEWSFdrNEmpoDLPTwvcCAr+NLNZJxj3e9sgxfv9f/NNtUeFW455uF26FoLbbbf7u7/6O\np59+mnq9zm/91m/x8Y9/nKmpqTtqX36W+N73vnfXBvDG4i5ZvRMhhMA0TZ555hn+6q/+iueffx7X\ndTl9+jT5fJ5isbhNzkZHR5mYmGB8fJyJiQkmJyeZnJzczmbdSWRvV2bpzwo747p2do7a6Y/6RcbO\nY/n8ixf44l++wOqGScdSUPQEihIiOXw/kqxSXf8hijqEJIcRXoCqSowMe5QaPaIRBAEj6RXK7X6i\nOhRfpmpO9hHQqLaGGwzji55qK/wqybiO4fRPv+dT631KKUBUXaTjT7DVVWvr+4fjG1Q7/Rmjqlgj\nkDIE9JO9pD5H3ZweOM5J7QYNQ2IkFyMcCWN7OoabJa4u0nQGg/vD4hptv19VhW4xma4IbD+147US\n4zkP123QkR4Y+IwIbPzOHLZIEgqHSA5NIgQY9TnyU4PT8gDt2iyj+7uks1FZp7S2SCw5japHqZWu\nMHHwgT0/Vy1cJzcyysbSZWKZe1C1foLfqFxl6vADO96/QL1SJTXUnY5v1y8zviteKgh81hcugpTE\ns8pMHh2Mn3KdDhvzlxBSiExumHiq38vruTYbixeIxKawzCqZXIZoomffaJRXaDcaJLLTm98Z4LQv\nM3bwUZqVNRr1OsnNZTu3q7x6Ds9psf/Yr20rykII1hfPEYlNbLdC7W3jd5k4+vg2YRdCUFt9BSU0\nta2UCiGobbyGrGbRQymM9gKxZBrLqJMZuXezaDWgtv4aemQCPZLC82yM6mW08D60UAKzXaTTLpLI\nHMWzy9jGCmpoCs+p4dpNhJAIvAapRMBE3uV3/+PHeOQtD+w5Ft9KhunNckx/Xtiapdqq5N+LoJqm\nybe+9S2eeuopCoUC73vf+3jiiSc4cODAL/w4DHfJ6m3AXbJ6J+NLX/oShUKB9773vdxzT39fdCG6\n3a7W19dZXl5mZWVl+291dZVCobAdF5LP57fJ7Pj4+DahHR4e7muX+pMyS/+h1fA/DX6a4qhfdOy2\nPAgh+MGL1zh3sc0LL56l1VFAzRF4HWKpQ+iRESxjCbt1lXRmirAu8P0OQviEI/nNdXbXa7TXCUez\nIIVBQCAEltkkEgJPJPEFBF5AICAebWIGRxCEkGUdSVaI6UsYbj8p9X2TbKJD0+pXOJPaHA1neoAA\nDsVWqexSYAO3QTzqY9j9BSfCKxEOhbDcfhXX6Vwnm3RJZcewHI2Ol0NWtM2CqBWa9qCqmgnNUW7v\nEdHklZAEqHKd4Vyapj2EkBO4dgvZu4EcPUg83U/gmtVFUtn/v713D5KqPvP/X+f06ftlLj3Tw9y4\niFwVRGFcLaIoaAQFRBMckl992XI32dTWlsGUSbQqlfyxlbiptbSKsiqVZL+VWG7tL9aWg4LBHSUQ\nJcXGIKIoIiAMMDfm1jM9fe9zTp/z/WPspnt6bsBAzwyfVxU11TPdp59zTnP6fZ7P87yfShzuwgaZ\ngZ7TlJT5CHb3YLH5cbovHZdErA+73cBTlh+Hkdbp6/yScPA0sxc/XBgjkIj143BouHyz6Dj3OTb7\nUHNRhnj4Im6fA2/Z0L7HI0F62s7iqxgqH9D1JIbaTWWOyA73dxLq6cLnH8rgRvo+JzDnVmwOT3Yb\nwYst+PyXaj5DPSeovulWbHY33a3HQXLj9OQv4acSgyQGT2DzzMVTkn8u1MQg/V2f4y4dWtqPhU5R\nc9NQxrfnwlE8FfmNWfFwF+GBi5T4FxMbPIfT46WkYjZdFz6htGJJ1vZMS0UIdn2Jz784+/pkpJXw\nYD8WxYLdMXSzk4x24a1cOVSPHO4iGenFV7EIXYuTGDyLxTYLSYZU9AKSpYy0NoCe6sZfMYu6ijiP\nbbqD++699YrKsSYiaEdaQbvahEPuNUXTtBHLylKpFPv37+f111+ntbWVhx56iG3btrFw4cIb8jos\nuK4IsTqTyVyAuru7s4K2o6MjK2q7urqyfqt+vz8rZqurq6mtraW+vp6qqioURRl1efpqu+FHivlq\nJ0fNRHIHOEyk5CEUCvHO/s84+JfP6ehVSell6GbJUMOPux5MC+m0STzaicNZjcOaptJv0t1fCtKl\nJVS3vROL4iGSuCR6DD1FVXkP3aFqjHQKQ48CcRzWEDZHKZKkYLNaUGwWrBaZVKILX9lsJEnGlGRM\nQyaeSGCkIyTS1SCXIn1VH+q2nCei1RX4qla42+iNFNZbDv2+UHgGvO10D9Zmj53FaKUq4CSV6EFT\n5qOT3+Qh6R2YeEibhVZbZY4L9AwOidG0nsRMd+Er9SE7qoiHLxCYfXtBvAB9nZ9SvyB/zGl0oINI\n8AKDoQHmLBnZsL+34xj1C1chy5ahTODFE0QHo3jKF5OK96PYTEr8heUIABfPHkCxlVJatXzEvwc7\njzNnyUp6Wz9D0224fPnbiQ60UhqowuUt5+LZI0iWUpye/GX/ge7PmLPkbvq7Wkgl4rhL5ha8T3/X\nZ8iyhLf8ZhRbvjeYriXo6ziFJNtxOHTKqi9NtYr0txOP9OMpza8/Huj+GEmSqay/lPk1TZPgxRNI\nkjNviT8ebmWw/zSV1UOexQDRUCtqIoKrZGi7mholEryA1VWJ3V6CrsVJhs+iGzbAxDQSGIaORQK7\n04umxUjGunC7y3HY07gdGrXVJcyudfDtJ9ZQWXH9utpHq4Mf6Wfu9XmkREPutTZzTckMlYEht5L3\n3nuPpqYmTp06xQMPPMC2bdu49dZbp4xAbW9vZ/v27XR3dyPLMt/97nf5/ve/X+ywBJOLEKs3Opk7\n+b6+Ptra2gqytJ2dndkRsCUlJVlBm5uhnTVrFna7fdSsABR2ww8Xs7m1p1OlOaqYjCTacy3IrlS0\nf3b8DK/8/+/TflEilnKhqjYSyX4kScbhqiCtJohG+rE751Bfk6I/UoWRs/Rv6IME/An6BvO79J3W\nTiTZR0LLr7f0ey/QF65Dki4JaiMdpao8Qe9gJWk9CekuPG4LNmsCm9WKy+vHMC2omkQ0ISOZCUzZ\nT9rMLwtwyueIqTVIsnXY71u/mrY1zMvVCGK3y4RjVnzOXvzlXjTDSjhVTrmzi75ooRi200IoUoKm\nDmB3e3F5S3F68jPEidAJymvvKHhtKhnGTMcorZxDf/dZoqF+rPZK7M4yUskwVksMT3lhmYJhGEQG\nzgx12fd04C1fkCeGw8EzVNbOx5pjch8Ld9PfdQ67q55EtJWamxoKtguQiAa5eP6v1C14cESBDdDb\n8RGSJFMWWDbi50xNxelp+18qaxuyy+u5REMXGQx2IFskArOXoyiXzkNkoJ1oqA9f+VBpgq7F0ZIX\nqJy9it72z1EUL3bXJV9X00gTCZ5ATzvBBKtDpqxqIboWp//icTxlS7P7oWtJwsFzyBYPTncleipK\nItoCsgWHK4C7pA7TNIkOfEk6beDyzsPQUySi59F1Gbe3nnikDTMdQ9dU7NY0TnuYgF/h62uXs3HD\n7bjdhTczU5XM9Tj3mpzxmc51loEh95N3332X119/nerqaqxWK8ePH6erq4uvfe1r/P3f/z2rV6+e\nksmCrq4uurq6WLFiBdFolJUrV7J7924WL148/osF0wUhVgXjk7ngDQ4OZsVsrqjt6OggFosB4HK5\n8mpoMxna6upqXC5XdluhUAhN0/JsWnKF7ExuDBuN4R6510u0f3m2lXcPnOKzL/oIRWyEoxIDfedA\nUnB5a3HaZdREJ6YepaQ8gNVWQSqVJp7USWl2yktMdPyktPwMmt99nmC0DnJqX410kkDpAH2RYR6m\n6RD+UpNgZNiyud6LyxHGotjxuO3IioJpKgwMJnE6FGJafr2rrocpd2sMJvIzXYaRxu/ppC+S/3wA\nh/kJLncJLm85oZgD3SxFTQQxULFZJWSlBLuzjMHgybzRnxkS0V6sNgo64JOJQbovfIxFsVNaeWuB\nOAz3n6MsUIc9pynKNE1CvS0MdF/AXVpNib9QzMJQ81HNTQ0k44P0d50FSwlOV8VXxyCJnuqloubS\nl7WWjBLsbkHChaQ4MY0Q/ln5X+a6lqS/+yymoaBrYWbNuS0vZtM0CfWcIRGP4/RUoye7qay/ZIOl\nqXFCXSeQbVXYnUPHP9J/isr6W7BYFPo7P0ZSqnC4hon9aC/BriNUzV6dV7YQC3cTC3XiKV2YFUmG\nkab/4v8iKQ4C9XdnG0wTg2dJxBN4Shd8FUuUePgipmng9s0jHjmPnuxET0u4PBXIsoSaiqCrYby+\nOiQzgkKQmtpqbqpX+P8aV1NXm39DNl3JrfXXNC07pS93LLeu6+zfv5+33nqLrq6urJhNpVJZk36r\n1cozzzzDz372s2Lv0phs2bKFp556inXr1hU7FMHkIcSqYHLIfGYikUhWxLa1tWXLDjJZ24GBAVRV\nRZIk1q9fz6ZNm7BYLFRXV1NTU0NJScmIGYHM48ms05oKjLS8nxGoxfbIPXu2lb3NR2ntVEnoZVzs\n6GMg1IuqSlhsJfh8PmKD7WiGFY+nFJ/HjdNlJx5tQ5at2J2l6Dok1TSxmIqquairNukND6tHTYep\nKFHpj+aLGIwBSr0GoVh+J7ihR6kqj9HVq1NaYuL1OlEsCindQip6nqhxR0EGqMzZQu8wJwMAu9SF\nrkvEUyBbLEiyQVrtorx6FYotP4uWSkUw9DAlFYVWWAPdJwjUL8UwdCJ9LWjJODo+XJ5qBvtOEKhf\nUVCbO/S649TMX4WuxYn0nSYWjuMuW4wsK4QHWiipqMPuKPTdjEe6SAyewuKcjdtbmBFORLpxuB04\nvX5CFz9D06y4fJfiTsT6sNqhxD/nq+X0U+jJOO6yS96okf6TVH0lWGPhHkK9F/D45iN/1Wlv6Cqp\nRAuV9SsJ9Z4jGYvhHSFTHOo+hGHYqajNH2ygJiNE+ltRrD5sTj+xcBtWq4nXP5dI70kkJYDDNXTu\nTdMgMXiWVDKK0zcUY2zwDBarFTUZprRiORarAzU1gJ7oJG04sDmrUOOdJGO9yFKKyspyfM4ISxa6\n+OajdzF//sg3AjOB4QJVki6N5r4k/A0++ugjmpqa+Otf/8qdd95JY2Mjq1evLigtyiQr0uk0fn/h\nZLepwvnz57nvvvs4fvw4Hs/Ik9UE0xIhVgXXnlOnTnHXXXexYMECHn74YdatW0cgEKCzs7MgQxsM\nBgEu2+lgqjWGjUYmzoxAna41uRcvdvG3I+dp7dT48uxFevrixGJDNjexWIJEIoZsLcflno1FHsTt\nVInHNaz2cnweNw6HhCwZRMOt2OxOdLOEaEwlqXmwOQKQHqCsxGAgOkyopiNU+OIEI/kNO4ahU1XS\nQc9gFW5HnBIvWBRQVZ1QqAtsi0im0mDqkMnSo6IlL+KtXI7Nni8II32fUDrrjoJsaGywHZfXg92d\naUwziUd6SMXDRIJf4C5biNuXb/k1ZDt1En9NfqmAaZpEBlqJhk7jcNUV1GkCDPZ9QUXtUixfLaVH\nBtqJh/uRJDuSbEVR4njKFxW8TtcSBDuPYJEVymaNPP0qEenEMMNoqTSeskUjfvZCPUdRrF5ka2k2\nc5t/PC4QDn5Jee0dOJz55yo+2EIi2oPNMR89HUUiRUnFfEzTINx/AUwLTs+lGxc1GSIe7SURbcdb\nOhenpwKr1UssdJJkIoWnbDGSJJGM96Cn4uhaBKttyIwf9Rxurw2n3UZpWQCrTabEo3J3w83cu3ox\nXm+hHdhMYySBmsmgZsSnYRh8+umnNDU1cfDgQVasWMG2bdtYs2YNijK95wFFo1Huu+8+fvrTn/Lo\no48WOxzB5CLEquDao+s6fX19zJo1sWW1iTgdZETpcKeDjKitrKy8LKeDq20MG29/hltuzfQRuIlE\ngr9+cJy/fdSCmi4jHLXQ1tpGJJokqRqAgmEf2fiJAAAXy0lEQVTIxOMJJIsdhzOARXFCuh+MHmSL\nC4+vAllKg5kmnogQj0VxOd0kjYx/o4mmhrHaHJS4k4TjZUgSXzWRVSLLCoolhWHa0NQ4Vmsad3m+\nnZSWipBK9lJaUTgmdaDnOJW1t+e7cBhp+jv/F4c3gJpKo2saLu9sFMWJYRiE+7/AX7O8IIuqq1EM\nvQevfzGR/vOkkgm0ZByXdy5GWkNN9VA+a+nwEIbi6PoQm7uKVDyM01OHolwqt0jG+5BkPZvtTUYv\nEgn1YaRl3L7ZxMKtON0+3CWXyh90LTG0bB6LIVk8WGzWrF9rdrvRdpLRPkzTSVqL4CqtyzZamUaa\n+OBZErEoDs9cFMVBPHIWi91Jif9mogOtaIlebO6bsp6lpmmSil8k0n8WZJkS/2LsrkoMQyM22I6h\nRbFYy7Hay1ETXaS1frRkN2k9ga+kBqvdgYQGeg+lpeUEKhwsmu/gsc2rcblcM2al5XKZiEA1TZMv\nvviC119/nT//+c8sXryYb33rW6xbtw6r1TrOO0wPdF1n48aNbNiwgR07dhQ7HMHkI8SqYHoyktNB\nrtvB1TgdZH6O5nQw/HejxZcRp7quI8vylFneLya5WWVVVTnT0kbL+TAnT7czMCiRNkuIJyz09XWR\nTOkYlIJkJW0qpBIDWCx27O5KrLahTGgy1o5kRrG752GxurLvER04hcsTwOq41Kyj60ni4fP4KhZi\nyTGN1/UEarQFb8Xy7HnR1BipRD+JSCcOdxWGnkQyNTRdxuWdQzx8AYfbX2DJNCRYT+CvXo4kWzCN\nNIloJ1pKJRHrRU0NEqi/p2A6lq4nSUbb8FcvG8oexvrQE30kEikMUwEjgs9/M4qtsCQgOngBTQ2B\nZMXmqMJuz296SsR6kS0aNruHeKQPTHB5516KWVeJR0/jq1hEMtqDnhrE6piDYr0kilPJXky9G8O0\ngGHB4b350nJyWiMR7SKtR0jGzuP2zUZxVGJ3BoiFW0lrKmlNxWb3IxFDsaSwWWNYpRCSZOBwzULT\nwOs2qK82+dY3V7Nw4ZD4zhVimZu84ZnC0ZxKxnMsmcpm/GOR23ypaUNzlnNrUDN1vGfOnKGpqYl9\n+/Yxb948GhsbWb9+PXa7fZx3mH5s376diooKXnrppWKHIrg2CLE6lXj55Zf51a9+haIoPPLII/zy\nl78sdkjTmqt1OqitraW6unrCTgeZ98z8fTpP1JpMMpPGMmUPmWOSazI+HoZhcO58Gye/7KLlXA+9\nwQQOVyWJhEQsYdDb20HadKGqOrqWBklBVWOYpowpOUmnTQwDJAki4W4cnmpARpYdmEYaWUqQSgRJ\nmzJ2WxkWWxkOVxWGYRALfY7dVYbLm1+rmoh1I0sxPGWLMU2DVLwPIx0HQyUebQdJQbKU4vblCDtD\nJxo6i88/Jys8TSONGu8hrUeJR9qRFRdOz3xs9tK894uGW7E7bDg9NaTi7aTVBKlkEuShBrB45Dwe\nXwCba2gFQ02G0JIhMBOkEmGMtIrTMwun76avbIt0ktFudD1FWoujJbtwe6ux2EqwOWtQU0HUxCBp\nXQMzCbIbLTWAIqs4nF5kBcxUGFXX8JXOwumQqPD7KPMpuF06pPsJVAYYGOjD7bLy0IMruWneyJZb\nwz8vownUyxWUo5UKDRe3MLm+pdeCkY6LzWbLE6jnz59n165dvPPOO1RXV/PEE0/wyCOP4HK5xn+D\nacqhQ4e49957WbZsWfYcPf/886xfv77YoQkmDyFWpwrvvfcezz//PG+//TaKotDX10dFRWGNmGBy\nmYjTQTwexzTNAqeDWbNmEY1GOXfuHJIk8U//9E95WdPRDLzHyu7MBDJLkxmBOtXKHmKxGB8fO8Pp\nMz2ca+0lkbJit1cQTxrE4zrB3lZQSr+KU8ZqdZNSYySiXdgdJejpFKYxJLzTukwk2o+RtmB3zcVi\nK2Fo9yRUNYKZDuN0VyLJNiRUMFUkUyUS6UWS7ENWbbKLEv8yZFnBNNMko52YZhibsxwJA0NPoOsJ\nJFMjHouialE8vvlYrD4UqwvTiGCRVCwWHUWKoWlx1JSKiR+LrQyLxcSqGNhsVmxWg2TsHFbFgqal\ncHrqscgmHreTslI3LpeEw6aTSvQRqPBjc1jQ1RiLF9WzZNFsysrKJr2uenim8GoF6tXEMNWytOMJ\nd9M06ejo4I033mDv3r34/X62bt3Kpk2bbog6XcENgxCrU4XGxka+973vsXbt2mKHIhhGrtNBS0sL\nTU1N7N+/n2PHjuH1elm5ciUA4XAYq9Wazc5mrLsyAnc8p4OJDFcottAbjZFst3KzylM17slipHOa\nezxyawNzz20sFuPYZ6fp6glTVVGG1+ukrNRDebkPt9s9YkbMMAySySTBYD8Wi0xNTaEd11RnKgjU\ny+Vqs7QTbfI0DANVVccUqN3d3bz55pv88Y9/xOVy8c1vfpMtW7Zkm08FghmGEKtThdtvv51HH32U\n5uZmnE4nL7zwAqtWFc7pFhQXVVV54okn+PrXv87GjRuZPfvSWEzTNEkkEnl2XbkZ2r6+PgAURRnR\n6aC2tpby8vLsti53BO5kN4aNR25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E2L59O6+++mqxQ7sheO+993jrrbf47LPPUBSFvr6+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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from mpl_toolkits.mplot3d import Axes3D\n", + "\n", + "x = numpy.linspace(-5, 5, 50)\n", + "y = numpy.linspace(-5, 5, 50)\n", + "X, Y = numpy.meshgrid(x, y)\n", + "R = numpy.sqrt(X**2 + Y**2)\n", + "Z = numpy.sin(R)\n", + "\n", + "figure = plt.figure(1, figsize = (12, 4))\n", + "subplot3d = plt.subplot(111, projection='3d')\n", + "surface = subplot3d.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=matplotlib.cm.coolwarm, linewidth=0.1)\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Another way to display this same data is *via* a contour plot." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.contourf(X, Y, Z, cmap=matplotlib.cm.coolwarm)\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Scatter plot" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To draw a scatter plot, simply provide the x and y coordinates of the points." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from numpy.random import rand\n", + "x, y = rand(2, 100)\n", + "plt.scatter(x, y)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "You may also optionally provide the scale of each point." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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DuwgMDMxXLblFRNi6dSvz5y/i0KEYNm7cSEJCe0R6YDa/R6dOYXzx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\nUykrK2v0Mk1kVgRaiA8+2IAz3XJ9TsYZpxdOHoH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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x, y, scale = rand(3, 100)\n", + "scale = 500 * scale ** 5\n", + "plt.scatter(x, y, s=scale)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And as usual there are a number of other attributes you can set, such as the fill and edge colors and the alpha level." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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3iwSczk7hQHvSsez3i8F/YEDc8JcuiVj8xkZxjHQa2q8k//2OIBb3yAIFoCii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\nc2JGm0q3J1kWvzEWg48/FiuIVIrWZZI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XC5iZETTLhmeEgOtJWnHJJNx8e5zjtgf4HFtr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OD2phmO3eXKzTyePfnJX9EdHermnOsoi0RgbDBNaiqNwSBwB6z4/YJAQEUz7du3+MRttcLeRiO7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\n5+d3v+igumbtDdSXY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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for color in ['red', 'green', 'blue']:\n", + " n = 100\n", + " x, y = rand(2, n)\n", + " scale = 500.0 * rand(n) ** 5\n", + " plt.scatter(x, y, s=scale, c=color, alpha=0.3, edgecolors='blue')\n", + "\n", + "plt.grid(True)\n", + "\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Lines" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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tvI+VyomI6TfhBKHrNtFxwv1NhOZbLp/k0fHroXOWXnJfOW4PWXdBvy9n6Rue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\nX+9RESXJIoRpxZ4g77y/7GlmJCaVievII3pnkks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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from numpy.random import randn\n", + "x = randn(1000)\n", + "y = 3*x + 5 + randn(1000)*2\n", + "plt.axis([-2.5, 2.5, -5, 15])\n", + "plt.scatter(x, y)\n", + "plt.vlines(0, -numpy.inf, numpy.inf)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Histograms" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data = [1, 1.1, 1.8, 2, 2.1, 3.2, 3, 3, 3, 3]\n", + "plt.subplot(211)\n", + "plt.hist(data, bins = 10, rwidth=0.8)\n", + "\n", + "plt.subplot(212)\n", + "plt.hist(data, bins = [1, 1.5, 2, 2.5, 3], rwidth=0.95)\n", + "plt.xlabel(\"Value\")\n", + "plt.ylabel(\"Frequency\")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": false, + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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cyIsvvujQO1+/YK8kngQ+Ac40xvzCGPMJgDHmazxXF6oWNtRNg7ZJOM2WnNFE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\nT+Ih4G8iMh7IAkZFOE+j2FD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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data1 = numpy.random.randn(400)\n", + "data2 = numpy.random.randn(500) + 3\n", + "data3 = numpy.random.randn(450) + 6\n", + "data4a = numpy.random.randn(200) + 9\n", + "data4b = numpy.random.randn(100) + 10\n", + "\n", + "plt.hist(data1, bins=5, color='g', alpha=0.75, label='bar hist') # default histtype='bar'\n", + "plt.hist(data2, color='b', alpha=0.65, histtype='stepfilled', label='stepfilled hist')\n", + "plt.hist(data3, color='r', histtype='step', label='step hist')\n", + "plt.hist((data4a, data4b), color=('r','m'), alpha=0.55, histtype='barstacked', label=('barstacked a', 'barstacked b'))\n", + "\n", + "plt.xlabel(\"Value\")\n", + "plt.ylabel(\"Frequency\")\n", + "plt.legend()\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Animations\n", + "Although matplotlib is mostly used to generate images, it is also capable of displaying animations, depending on the Backend you use. In a Jupyter notebook, we need to use the `nbagg` backend to use interactive matplotlib features, including animations. We also need to import `matplotlib.animation`." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib nbagg\n", + "import matplotlib.animation as animation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "In this example, we start by creating data points, then we create an empty plot, we define the update function that will be called at every iteration of the animation, and finally we add an animation to the plot by creating a `FuncAnimation` instance.\n", + "\n", + "The `FuncAnimation` constructor takes a figure, an update function and optional arguments. We specify that we want a 100-frame long animation, with 20ms between each frame. At each iteration, `FuncAnimation` calls our update function and passes it the frame number `num` (from 0 to 99 in our case) followed by the extra arguments that we specified with `fargs`.\n", + "\n", + "Our update function simply sets the line data to be the first `num` data points (so the data gets drawn gradually), and just for fun we also add a small random number to each data point so that the line appears to wiggle." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "application/javascript": [ + "/* Put everything inside the global mpl namespace */\n", + "window.mpl = {};\n", + "\n", + "mpl.get_websocket_type = function() {\n", + " if (typeof(WebSocket) !== 'undefined') {\n", + " return WebSocket;\n", + " } else if (typeof(MozWebSocket) !== 'undefined') {\n", + " return MozWebSocket;\n", + " } else {\n", + " alert('Your browser does not have WebSocket support.' +\n", + " 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n", + " 'Firefox 4 and 5 are also supported but you ' +\n", + " 'have to enable WebSockets in about:config.');\n", + " };\n", + "}\n", + "\n", + "mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n", + " this.id = figure_id;\n", + "\n", + " this.ws = websocket;\n", + "\n", + " this.supports_binary = (this.ws.binaryType != undefined);\n", + "\n", + " if (!this.supports_binary) {\n", + " var warnings = document.getElementById(\"mpl-warnings\");\n", + " if (warnings) {\n", + " warnings.style.display = 'block';\n", + " warnings.textContent = (\n", + " \"This browser does not support binary websocket messages. \" +\n", + " \"Performance may be slow.\");\n", + " }\n", + " }\n", + "\n", + " this.imageObj = new Image();\n", + "\n", + " this.context = undefined;\n", + " this.message = undefined;\n", + " this.canvas = undefined;\n", + " this.rubberband_canvas = undefined;\n", + " this.rubberband_context = undefined;\n", + " this.format_dropdown = undefined;\n", + "\n", + " this.image_mode = 'full';\n", + "\n", + " this.root = $('
');\n", + " this._root_extra_style(this.root)\n", + " this.root.attr('style', 'display: inline-block');\n", + "\n", + " $(parent_element).append(this.root);\n", + "\n", + " this._init_header(this);\n", + " this._init_canvas(this);\n", + " this._init_toolbar(this);\n", + "\n", + " var fig = this;\n", + "\n", + " this.waiting = false;\n", + "\n", + " this.ws.onopen = function () {\n", + " fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n", + " fig.send_message(\"send_image_mode\", {});\n", + " fig.send_message(\"refresh\", {});\n", + " }\n", + "\n", + " this.imageObj.onload = function() {\n", + " if (fig.image_mode == 'full') {\n", + " // Full images could contain transparency (where diff images\n", + " // almost always do), so we need to clear the canvas so that\n", + " // there is no ghosting.\n", + " fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n", + " }\n", + " fig.context.drawImage(fig.imageObj, 0, 0);\n", + " };\n", + "\n", + " this.imageObj.onunload = function() {\n", + " this.ws.close();\n", + " }\n", + "\n", + " this.ws.onmessage = this._make_on_message_function(this);\n", + "\n", + " this.ondownload = ondownload;\n", + "}\n", + "\n", + "mpl.figure.prototype._init_header = function() {\n", + " var titlebar = $(\n", + " '
');\n", + " var titletext = $(\n", + " '
');\n", + " titlebar.append(titletext)\n", + " this.root.append(titlebar);\n", + " this.header = titletext[0];\n", + "}\n", + "\n", + "\n", + "\n", + "mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "\n", + "mpl.figure.prototype._root_extra_style = function(canvas_div) {\n", + "\n", + "}\n", + "\n", + "mpl.figure.prototype._init_canvas = function() {\n", + " var fig = this;\n", + "\n", + " var canvas_div = $('
');\n", + "\n", + " canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n", + "\n", + " function canvas_keyboard_event(event) {\n", + " return fig.key_event(event, event['data']);\n", + " }\n", + "\n", + " canvas_div.keydown('key_press', canvas_keyboard_event);\n", + " canvas_div.keyup('key_release', canvas_keyboard_event);\n", + " this.canvas_div = canvas_div\n", + " this._canvas_extra_style(canvas_div)\n", + " this.root.append(canvas_div);\n", + "\n", + " var canvas = $('');\n", + " canvas.addClass('mpl-canvas');\n", + " canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n", + "\n", + " this.canvas = canvas[0];\n", + " this.context = canvas[0].getContext(\"2d\");\n", + "\n", + " var rubberband = $('');\n", + " rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n", + "\n", + " var pass_mouse_events = true;\n", + "\n", + " canvas_div.resizable({\n", + " start: function(event, ui) {\n", + " pass_mouse_events = false;\n", + " },\n", + " resize: function(event, ui) {\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " stop: function(event, ui) {\n", + " pass_mouse_events = true;\n", + " fig.request_resize(ui.size.width, ui.size.height);\n", + " },\n", + " });\n", + "\n", + " function mouse_event_fn(event) {\n", + " if (pass_mouse_events)\n", + " return fig.mouse_event(event, event['data']);\n", + " }\n", + "\n", + " rubberband.mousedown('button_press', mouse_event_fn);\n", + " rubberband.mouseup('button_release', mouse_event_fn);\n", + " // Throttle sequential mouse events to 1 every 20ms.\n", + " rubberband.mousemove('motion_notify', mouse_event_fn);\n", + "\n", + " rubberband.mouseenter('figure_enter', mouse_event_fn);\n", + " rubberband.mouseleave('figure_leave', mouse_event_fn);\n", + "\n", + " canvas_div.on(\"wheel\", function (event) {\n", + " event = event.originalEvent;\n", + " event['data'] = 'scroll'\n", + " if (event.deltaY < 0) {\n", + " event.step = 1;\n", + " } else {\n", + " event.step = -1;\n", + " }\n", + " mouse_event_fn(event);\n", + " });\n", + "\n", + " canvas_div.append(canvas);\n", + " canvas_div.append(rubberband);\n", + "\n", + " this.rubberband = rubberband;\n", + " this.rubberband_canvas = rubberband[0];\n", + " this.rubberband_context = rubberband[0].getContext(\"2d\");\n", + " this.rubberband_context.strokeStyle = \"#000000\";\n", + "\n", + " this._resize_canvas = function(width, height) {\n", + " // Keep the size of the canvas, canvas container, and rubber band\n", + " // canvas in synch.\n", + " canvas_div.css('width', width)\n", + " canvas_div.css('height', height)\n", + "\n", + " canvas.attr('width', width);\n", + " canvas.attr('height', height);\n", + "\n", + " rubberband.attr('width', width);\n", + " rubberband.attr('height', height);\n", + " }\n", + "\n", + " // Set the figure to an initial 600x600px, this will subsequently be updated\n", + " // upon first draw.\n", + " this._resize_canvas(600, 600);\n", + "\n", + " // Disable right mouse context menu.\n", + " $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n", + " return false;\n", + " });\n", + "\n", + " function set_focus () {\n", + " canvas.focus();\n", + " canvas_div.focus();\n", + " }\n", + "\n", + " window.setTimeout(set_focus, 100);\n", + "}\n", + "\n", + "mpl.figure.prototype._init_toolbar = function() {\n", + " var fig = this;\n", + "\n", + " var nav_element = $('
')\n", + " nav_element.attr('style', 'width: 100%');\n", + " this.root.append(nav_element);\n", + "\n", + " // Define a callback function for later on.\n", + " function toolbar_event(event) {\n", + " return fig.toolbar_button_onclick(event['data']);\n", + " }\n", + " function toolbar_mouse_event(event) {\n", + " return fig.toolbar_button_onmouseover(event['data']);\n", + " }\n", + "\n", + " for(var toolbar_ind in mpl.toolbar_items) {\n", + " var name = mpl.toolbar_items[toolbar_ind][0];\n", + " var tooltip = mpl.toolbar_items[toolbar_ind][1];\n", + " var image = mpl.toolbar_items[toolbar_ind][2];\n", + " var method_name = mpl.toolbar_items[toolbar_ind][3];\n", + "\n", + " if (!name) {\n", + " // put a spacer in here.\n", + " continue;\n", + " }\n", + " var button = $('