{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# matplotlib - 2D and 3D plotting in Python"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "J.R. Johansson (jrjohansson at gmail.com)\n",
    "\n",
    "The latest version of this [IPython notebook](http://ipython.org/notebook.html) lecture is available at [http://github.com/jrjohansson/scientific-python-lectures](http://github.com/jrjohansson/scientific-python-lectures).\n",
    "\n",
    "The other notebooks in this lecture series are indexed at [http://jrjohansson.github.io](http://jrjohansson.github.io)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# This line configures matplotlib to show figures embedded in the notebook, \n",
    "# instead of opening a new window for each figure. More about that later. \n",
    "# If you are using an old version of IPython, try using '%pylab inline' instead.\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib is an excellent 2D and 3D graphics library for generating scientific figures. Some of the many advantages of this library include:\n",
    "\n",
    "* Easy to get started\n",
    "* Support for $\\LaTeX$ formatted labels and texts\n",
    "* Great control of every element in a figure, including figure size and DPI. \n",
    "* High-quality output in many formats, including PNG, PDF, SVG, EPS, and PGF.\n",
    "* GUI for interactively exploring figures *and* support for headless generation of figure files (useful for batch jobs).\n",
    "\n",
    "One of the key features of matplotlib that I would like to emphasize, and that I think makes matplotlib highly suitable for generating figures for scientific publications is that all aspects of the figure can be controlled *programmatically*. This is important for reproducibility and convenient when one needs to regenerate the figure with updated data or change its appearance. \n",
    "\n",
    "More information at the Matplotlib web page: http://matplotlib.org/"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To get started using Matplotlib in a Python program, either include the symbols from the `pylab` module (the easy way):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from pylab import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "or import the `matplotlib.pyplot` module under the name `plt` (the tidy way):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## MATLAB-like API"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The easiest way to get started with plotting using matplotlib is often to use the MATLAB-like API provided by matplotlib. \n",
    "\n",
    "It is designed to be compatible with MATLAB's plotting functions, so it is easy to get started with if you are familiar with MATLAB.\n",
    "\n",
    "To use this API from matplotlib, we need to include the symbols in the `pylab` module: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from pylab import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A simple figure with MATLAB-like plotting API:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x = np.linspace(0, 5, 10)\n",
    "y = x ** 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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99cqOSCVq+XHQEbENcHNm7tj4ehawV2bOi4gtgN7M7LPM0OOgpQE0diycdBJcdhkcdFDZ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\nlAlAkmrKBCBJNfX/AXxH+abiQFdBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6fa20b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure()\n",
    "plot(x, y, 'r')\n",
    "xlabel('x')\n",
    "ylabel('y')\n",
    "title('title')\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Most of the plotting related functions in MATLAB are covered by the `pylab` module. For example, subplot and color/symbol selection:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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WzeGimjohKv5oKBEpU6bAzTcH7kIkSWHOeq1wEb+09T8SFiyALl0CRf2kk3yn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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7001780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "subplot(1,2,1)\n",
    "plot(x, y, 'r--')\n",
    "subplot(1,2,2)\n",
    "plot(y, x, 'g*-');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The good thing about the pylab MATLAB-style API is that it is easy to get started with if you are familiar with MATLAB, and it has a minumum of coding overhead for simple plots. \n",
    "\n",
    "However, I'd encourrage not using the MATLAB compatible API for anything but the simplest figures.\n",
    "\n",
    "Instead, I recommend learning and using matplotlib's object-oriented plotting API. It is remarkably powerful. For advanced figures with subplots, insets and other components it is very nice to work with. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The matplotlib object-oriented API"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The main idea with object-oriented programming is to have objects that one can apply functions and actions on, and no object or program states should be global (such as the MATLAB-like API). The real advantage of this approach becomes apparent when more than one figure is created, or when a figure contains more than one subplot. \n",
    "\n",
    "To use the object-oriented API we start out very much like in the previous example, but instead of creating a new global figure instance we store a reference to the newly created figure instance in the `fig` variable, and from it we create a new axis instance `axes` using the `add_axes` method in the `Figure` class instance `fig`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9b320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "\n",
    "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n",
    "\n",
    "axes.plot(x, y, 'r')\n",
    "\n",
    "axes.set_xlabel('x')\n",
    "axes.set_ylabel('y')\n",
    "axes.set_title('title');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Although a little bit more code is involved, the advantage is that we now have full control of where the plot axes are placed, and we can easily add more than one axis to the figure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gByCkC0WhQoV47733aNeuHRkZGQwYMIA6deq4HUsksG3YALfcAiNHOstzSFDL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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x72d0470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "\n",
    "axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axes\n",
    "axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) # inset axes\n",
    "\n",
    "# main figure\n",
    "axes1.plot(x, y, 'r')\n",
    "axes1.set_xlabel('x')\n",
    "axes1.set_ylabel('y')\n",
    "axes1.set_title('title')\n",
    "\n",
    "# insert\n",
    "axes2.plot(y, x, 'g')\n",
    "axes2.set_xlabel('y')\n",
    "axes2.set_ylabel('x')\n",
    "axes2.set_title('insert title');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we don't care about being explicit about where our plot axes are placed in the figure canvas, then we can use one of the many axis layout managers in matplotlib. My favorite is `subplots`, which can be used like this:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x8065710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots()\n",
    "\n",
    "axes.plot(x, y, 'r')\n",
    "axes.set_xlabel('x')\n",
    "axes.set_ylabel('y')\n",
    "axes.set_title('title');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0uvNOP+1TMktdQHF45hm/v88NN/iVkBakm1kkWitX+gv+6NFQWQmNG4eOSEqk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\nUqZUAYiIlClVACIiZer/ATIsl5DbY4t8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8498390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=1, ncols=2)\n",
    "\n",
    "for ax in axes:\n",
    "    ax.plot(x, y, 'r')\n",
    "    ax.set_xlabel('x')\n",
    "    ax.set_ylabel('y')\n",
    "    ax.set_title('title')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That was easy, but it isn't so pretty with overlapping figure axes and labels, right?\n",
    "\n",
    "We can deal with that by using the `fig.tight_layout` method, which automatically adjusts the positions of the axes on the figure canvas so that there is no overlapping content:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MWrTwI6levdSg8pSaVC6tWuVHT3ffDW+8AY0ahU4kEk/TpsERR8AOO/hJRzVr\nhk4kWaImlSuffAJNm8JXX8GkSXDYYaETicRTt25+0+VWrfwzqG23DZ1Iskiz+3Jh0CC/buOee+D6\n67VZrEgqVqyA666DceOgtBQaNAidSHJATSqb1qzx6zUGD4ahQ6FJk9CJROJp1iw/QeKww2D8eKhd\nO3QiyRHd7suWefPguOPg00/9TsxqUCKp6d3b19KNN/pTAdSgCopGUtnw8st+o9g77oBbbtHtPZFU\nrFwJN93kb+2NGAGHHBI6kQSgJpVJa9f6xbn9+/ujqo8+OnQikXiaM8ff3jvoIJg4EbbfPnQiCUS3\n+zJl4UIoKoLp0/3sPTUokdT07+9nwl59NfTpowZV4NSkMuH11+Hww/3WLEOHQp06oROJxM/q1X72\n6513+pq69lrdKhfd7kvLunXQurV/mNu/P/zxj6ETicTT3Llw4YWw997+TsSOO4ZOJBGhkVSqvvjC\nH6w2YYKfvacGJZKaF1+Eo46Cyy+HgQPVoOQX1KRSMWKEv713wgnw2muw666hE4nEz5o1/jTqW27x\nt8lbttTtPdmIbvclY/16f1bNM8/4DS3/9KfQiUTiaf58uOgif4E3aRLsskvoRBJRGklVR1mZv9I7\n7jh/9tPkyWpQIqlYsgQefNAvbr/gAr8bixqUVEEjqaqsWuVHTI89BrVqwW23+Ye7OhJAJDlz50Jx\nsd894uyzYeRI7b0n1aImVZklS+Cpp+DJJ6FxY//x8cfrfrlIssaNg0cfhVGj4J//9Eds7LFH6FQS\nI2pSFX3yib/a69MHzjlHp+aKpKL89vijj8Jnn/nJEd26ac89SYmaFMDYsb6g3nrLX+1Nnw677x46\nlUi8rFwJPXv62+M77AC33w7nngtb6seMpK5w//asXw9Dhvjm9MUX/mqve3dd7Ykk65tvoHNn/6tJ\nE+jSxU8y0u1xyYDCa1IrV/odItq3h5128ld755yjqz2RZM2Z42+P9+0L55/vnzsddFDoVJJnCucn\n89df/3y1d9RR/tjpY4/V1Z5Ist5919+BGDPGnzg9cybUrRs6leSpYOukzKy5mc0ys4/M7N8Zf4Ol\nS/2WRb16+d2U69f3t/VGj/ZrM6p5O6K0tDTj0ZKlDD+LSo4oyWotlZXBggUwfDg88QQcc4zfvujE\nE/2Bnv/5T7UbVBT+3ylDdDJUV5CRlJnVADoBJwBfABPMbLBzblZS32jtWr/+4qOPYPZs/6v842XL\n4MADfXOtzTeQAAAE4ElEQVQ69FB//HQK2xeVlpZSVFSU9OsySRmilyMqMlZLS5duXEOzZ8PHH/vb\n4vXr+3q69Va/zimFtYJR+H+nDNHJUF2hbvc1AeY45+YDmFlf4Cxg48JyDhYvrryAFiyAevV8AdWv\nD40aQYsW/uM99tCtPCkE1a+l8ou6ymppxQrfhMov7M45x//zgAN0npMEFapJ1QM+q/D7hfhi29hO\nO0HNmj8XT/36/kC0+vVhv/1g661zkVckqqpfS9tvD3vu+fOoqHFjuOQS/7Eu6iSizDmX+zc1Ow84\nxTn3z8TvLwOaOOdabvB1uQ8nUg3OuUj8RFctSZxVp45CjaQ+B35T4fd7Jj73C1H5QSASYaolyWuh\nZvdNAPY3s73NrCZwMfByoCwicaZakrwWZCTlnFtvZtcDw/CNssQ5NzNEFpE4Uy1JvgvyTEpERKQ6\nInnoYdYX+lYvQ4mZLTazD0O8fyLDnmY20symm9lUM2u5+VdlPMPWZjbOzN5PZGid6wwVstQws8lm\nFuR2lpnNM7MPEv8txofIkCzVUjTqKJEjErUUuo4SGapdS5EbSSUWJ35EhcWJwMVJL05MP8exwDLg\nOefcIbl87woZdgN2c85NMbPawCTgrAD/LWo551aY2RbAO0BL51zOf0ib2c1AY2AH59yZAd5/LtDY\nOfddrt87Faqln94/EnWUyBK8lkLXUSJDtWspiiOpnxYnOufWAuWLE3PKOTcGCPrDyDm3yDk3JfHx\nMmAmfl1MrnOsSHy4Nf45Zs6vbMxsT+A0oGuu37tiDKJZM5uiWiI6dZR4/6C1FJE6giRqKYoFV9ni\nxCB/oaLEzPYBGgLjArx3DTN7H1gEDHfOTch1BqAYuJ0ADbICBww3swlmdlXAHNWlWtpAyDpKvH/o\nWopCHUEStRTFJiUbSNyiGAjcmLgSzCnnXJlz7jD8GpwjzSynxxWb2enA4sTVsCV+hdDUOdcIfyV6\nXeI2lsRE6DqCsLUUoTqCJGopik2qWosTC4WZbYkvrJ7OucEhszjnfgBGAc1z/NZNgTMT97GfB5qZ\n2XM5zoBz7svEP78GXmRT2w9Fh2opIUp1BMFqKRJ1BMnVUhSbVJQWJ4a+2gB4FpjhnOsY4s3NrI6Z\n7Zj4eFvgJCrbvDSLnHN3Oud+45zbF//3YaRz7vJcZjCzWokrccxsO+BkYFouM6RAtfSzoHUE4Wsp\nCnUEyddS5JqUc249UL44cTrQN8TiRDPrA7wLHGhmC8zsbwEyNAUuBf6UmKo52cxyPYrZHRhlZlPw\n9/HfcM69muMMUVAXGJN4njAWGOKcGxY4U5VUSz+9fxTqCFRL5ZKqpchNQRcRESkXuZGUiIhIOTUp\nERGJLDUpERGJLDUpERGJLDUpERGJLDUpERGJLDUpERGJLDUpERGJLDWpPGZmhycOFqtpZtuZ2bRc\nbw4rkg9US+Fox4k8Z2b/AbZN/PrMOdc2cCSRWFIthaEmlefMbCv8RqMrgWOc/oeLpES1FIZu9+W/\nOkBtYHtgm8BZROJMtRSARlJ5zswG48+O+S2wh3PuhsCRRGJJtRTGlqEDSPaY2V+ANc65vmZWA3jH\nzIqcc6WBo4nEimopHI2kREQksvRMSkREIktNSkREIktNSkREIktNSkREIktNSkREIktNSkREIktN\nSkREIuv/AQVSRBlr/kglAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x892eb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=1, ncols=2)\n",
    "\n",
    "for ax in axes:\n",
    "    ax.plot(x, y, 'r')\n",
    "    ax.set_xlabel('x')\n",
    "    ax.set_ylabel('y')\n",
    "    ax.set_title('title')\n",
    "    \n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Figure size, aspect ratio and DPI"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib allows the aspect ratio, DPI and figure size to be specified when the `Figure` object is created, using the `figsize` and `dpi` keyword arguments. `figsize` is a tuple of the width and height of the figure in inches, and `dpi` is the dots-per-inch (pixel per inch). To create an 800x400 pixel, 100 dots-per-inch figure, we can do: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8065320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,4), dpi=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The same arguments can also be passed to layout managers, such as the `subplots` function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x807b278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(figsize=(12,3))\n",
    "\n",
    "axes.plot(x, y, 'r')\n",
    "axes.set_xlabel('x')\n",
    "axes.set_ylabel('y')\n",
    "axes.set_title('title');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Saving figures"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To save a figure to a file we can use the `savefig` method in the `Figure` class:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fig.savefig(\"filename.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we can also optionally specify the DPI and choose between different output formats:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fig.savefig(\"filename.png\", dpi=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### What formats are available and which ones should be used for best quality?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib can generate high-quality output in a number formats, including PNG, JPG, EPS, SVG, PGF and PDF. For scientific papers, I recommend using PDF whenever possible. (LaTeX documents compiled with `pdflatex` can include PDFs using the `includegraphics` command). In some cases, PGF can also be good alternative."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Legends, labels and titles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have covered the basics of how to create a figure canvas and add axes instances to the canvas, let's look at how decorate a figure with titles, axis labels, and legends."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Figure titles**\n",
    "\n",
    "A title can be added to each axis instance in a figure. To set the title, use the `set_title` method in the axes instance:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ax.set_title(\"title\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Axis labels**\n",
    "\n",
    "Similarly, with the methods `set_xlabel` and `set_ylabel`, we can set the labels of the X and Y axes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ax.set_xlabel(\"x\")\n",
    "ax.set_ylabel(\"y\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Legends**\n",
    "\n",
    "Legends for curves in a figure can be added in two ways. One method is to use the `legend` method of the axis object and pass a list/tuple of legend texts for the previously defined curves:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ax.legend([\"curve1\", \"curve2\", \"curve3\"]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The method described above follows the MATLAB API. It is somewhat prone to errors and unflexible if curves are added to or removed from the figure (resulting in a wrongly labelled curve).\n",
    "\n",
    "A better method is to use the `label=\"label text\"` keyword argument when plots or other objects are added to the figure, and then using the `legend` method without arguments to add the legend to the figure: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ax.plot(x, x**2, label=\"curve1\")\n",
    "ax.plot(x, x**3, label=\"curve2\")\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The advantage with this method is that if curves are added or removed from the figure, the legend is automatically updated accordingly.\n",
    "\n",
    "The `legend` function takes an optional keyword argument `loc` that can be used to specify where in the figure the legend is to be drawn. The allowed values of `loc` are numerical codes for the various places the legend can be drawn. See http://matplotlib.org/users/legend_guide.html#legend-location for details. Some of the most common `loc` values are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x3dfc1d0>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax.legend(loc=0) # let matplotlib decide the optimal location\n",
    "ax.legend(loc=1) # upper right corner\n",
    "ax.legend(loc=2) # upper left corner\n",
    "ax.legend(loc=3) # lower left corner\n",
    "ax.legend(loc=4) # lower right corner\n",
    "# .. many more options are available"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following figure shows how to use the figure title, axis labels and legends described above:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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caAXMLYP4REQCkRfKY/C7gxnebXjMk0JpxLQpycxeBtKBema2HngYeByYaGYDgXWE70TC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\nICIiBSgxiIhIAUoMIiJSgBKDiIgU8P8BSBXVKQeTtDcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6feab00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(x, x**2, label=\"y = x**2\")\n",
    "ax.plot(x, x**3, label=\"y = x**3\")\n",
    "ax.legend(loc=2); # upper left corner\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_title('title');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Formatting text: LaTeX, fontsize, font family"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The figure above is functional, but it does not (yet) satisfy the criteria for a figure used in a publication. First and foremost, we need to have LaTeX formatted text, and second, we need to be able to adjust the font size to appear right in a publication.\n",
    "\n",
    "Matplotlib has great support for LaTeX. All we need to do is to use dollar signs encapsulate LaTeX in any text (legend, title, label, etc.). For example, `\"$y=x^3$\"`.\n",
    "\n",
    "But here we can run into a slightly subtle problem with LaTeX code and Python text strings. In LaTeX, we frequently use the backslash in commands, for example `\\alpha` to produce the symbol $\\alpha$. But the backslash already has a meaning in Python strings (the escape code character). To avoid Python messing up our latex code, we need to use \"raw\" text strings. Raw text strings are prepended with an '`r`', like `r\"\\alpha\"` or `r'\\alpha'` instead of `\"\\alpha\"` or `'\\alpha'`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Sa6ZzzYnXBF3KQamrSkQkYMs3LefhiQ8z6TeTiIerRajFISISIHfn5rE3c9vpt9Emo03Q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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x706e128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n",
    "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n",
    "ax.legend(loc=2) # upper left corner\n",
    "ax.set_xlabel(r'$\\alpha$', fontsize=18)\n",
    "ax.set_ylabel(r'$y$', fontsize=18)\n",
    "ax.set_title('title');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also change the global font size and font family, which applies to all text elements in a figure (tick labels, axis labels and titles, legends, etc.):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Update the matplotlib configuration parameters:\n",
    "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'serif'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nN39GKQnP3/3tHpAxxgSZycsns2jHIn6+++ewDZ/CsAAyxphi9OOOH3ly/pP8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\nPQQNf1wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x702a2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n",
    "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n",
    "ax.legend(loc=2) # upper left corner\n",
    "ax.set_xlabel(r'$\\alpha$')\n",
    "ax.set_ylabel(r'$y$')\n",
    "ax.set_title('title');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A good choice of global fonts are the STIX fonts: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Update the matplotlib configuration parameters:\n",
    "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'STIXGeneral', 'mathtext.fontset': 'stix'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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b5QQ8f47kWoAC/1bVVABV3Qu8BFwCRHv6eU+SZHm2J0uhRmNMADuQeIBbPrqF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\nhAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8c84908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n",
    "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n",
    "ax.legend(loc=2) # upper left corner\n",
    "ax.set_xlabel(r'$\\alpha$')\n",
    "ax.set_ylabel(r'$y$')\n",
    "ax.set_title('title');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or, alternatively, we can request that matplotlib uses LaTeX to render the text elements in the figure:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "matplotlib.rcParams.update({'font.size': 18, 'text.usetex': True})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MIBNASx/7q0NXWt/kvn51L4aE3hvaPnzPRX5VVVWYM2cO8vOP9s9WVFTA5XJ1mSEVTi6X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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x96ba940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n",
    "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n",
    "ax.legend(loc=2) # upper left corner\n",
    "ax.set_xlabel(r'$\\alpha$')\n",
    "ax.set_ylabel(r'$y$')\n",
    "ax.set_title('title');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# restore\n",
    "matplotlib.rcParams.update({'font.size': 12, 'font.family': 'sans', 'text.usetex': False})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setting colors, linewidths, linetypes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Colors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With matplotlib, we can define the colors of lines and other graphical elements in a number of ways. First of all, we can use the MATLAB-like syntax where `'b'` means blue, `'g'` means green, etc. The MATLAB API for selecting line styles are also supported: where, for example, 'b.-' means a blue line with dots:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x96df0b8>]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# MATLAB style line color and style \n",
    "ax.plot(x, x**2, 'b.-') # blue line with dots\n",
    "ax.plot(x, x**3, 'g--') # green dashed line"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also define colors by their names or RGB hex codes and optionally provide an alpha value using the `color` and `alpha` keyword arguments:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x6fbc048>]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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uqKWLqUpMc5UYh3y2RLoD3wE+BhwA1gIT3P2NOBcmpS+3Svz7IVerSmypEv/l+uNVJS5f\nDlVVMG5cWVWJxaTSUQqmKjFLVWJIuEocOjTY+ijDKjEOStMlcuEqUWclqko8KGVVYhw0sCUyqhKz\nttbu54GFu3hUVWJqq8Q4aGBLh21s/IAHti7k8e3P6azEUJV49Zi+TNNZiYk4KzEpNLCl3VqrxKdr\nV3PdgItUJapKDKhKjI0GthRMZyVmqUoMaa0SN2+GT30q9VViHDSwJW/hKlFnJeqsRKDtKvGcc6Bb\nSreBYqaBLUcVrhI3Nm5navV4rj0hoypRVaKqxCLQmY7SJlWJWaoSQ3KrxM98Bj72McUuJUZ32Cmh\nsxKzwlXioMqu3HlVVXqrxKam4LG81ipxzBg45RQN6k6mLREBVCWGqUoMaa0SV6yAE09UlVhkGtgp\npyoxK1wlXjCyF3eoSlSVWGI0sFMqXCVeVHE206snqkp8pp5x5/VmxoRKTj8xfW+qAqoSS5wGdsqo\nSszKPStxqqpEVYklTgM7JXRWYpaqxJCtW4NH89avV5WYABrYZS63Srxl0DiO79av2MsqClWJITor\nMZE0sMuUqsRAuEp8fWMj01QlqkpMMA3sMqKzErNyq8TpEyq45jP9VCWqSkw0lY5lQFVi1oFmZ/6K\nPdw7X1WiqsT00h12CWry/TyxYxlztiygX5deqhKfq2fOk7UMrFCVqCqxPGlLJIFUJWapSgxRlVj2\nNLATRFViVrhKHD2iF3dOUpWoKrH8aWAngKrELFWJIaoSUyeWgW1mpwF/Bn7l7l9q4881sPOgKjFr\nQ0uV+ISqRFWJKRbXwF4K9ATe0cAu3PqGzQerRJ2V2Mjs+bUsbakSb7usP4MqUzqodVZi6kX+WJ+Z\nXQvsBNYAH+3A2lInt0pccdas1FaJL7+5j3vm7TxYJX7vy8NUJbaelXjFFaoS5ajyusM2s/7AauAi\n4H8Bw3WHfWytVeIrH77NFFWJqhJBVaK0Keo77G8Bc919UxofMStE7lmJ06on8PDwu1QlHqwSq1Ul\nNjUFz1CfeaaqRCnIMQe2mY0CxgKj8nnBmTNnHvx1JpMhk8m0c2nJoioxS1ViiKpEaUNNTQ01NTUF\nf94xt0TMbAbwHaAeMKAv0BVY4+7n5Vybui0RVYlZqhJD9u+Hl19WlSh5iewpETPrCYSfLfrfwMnA\nZHffkXNtaga2qsQsVYkhrVXiypUwdKiqRMlLZHvY7t4ANIReeDfQkDus0yK3Spx76h2qElvOSvz5\n16pVJbZWiTfcoCpRIqfSMU+qErNUJYaoSpQIKE2PiKrErHCVePWYvky9soJhA7sXe1nFoSpRIqSB\n3UE6KzFLVWKIqkSJgQZ2O+msxKzcKlFnJYaqRJ2VKBHSwC6QzkoMqEoMUZUonUQDOw86KzErXCXu\nqG9mhs5K1FmJ0ml0puNRqErMCleJRlAljv+UqkS6dw9ilzPOUOwiJSNVd9hNvp8nti9j9pb59O/a\nO/VV4i+fr2f2gpYqcVIVY89RlUhVVXBHfeqpGtTSabQlEqIqMWtPQzOP/K6e+56qVZWoKlFKhAY2\nOisxLLdKvGOizkrUWYlSKlI9sMNVYqbibGaoSlSVCKoSpWSlcmCrSsxSlRiiKlFKXKoGdmuV+HTt\n6tSflbjuvUZmqUoMqEqUhEjFwM6tEm8ddClV3fp22tcvJaoSQ957L3iGeuPG4G5aVaKUuLIe2KoS\nA+7O718LqsR176lKZP364I56585gf3rUqOB5apESV3YDW1VilqrEEFWJUgbKpnRUlZilKjFEVaKk\nUMneYatKzDqsStRZiaoSpawkdktEVWKWqsQQVYlSxhI3sFUlZtXuPsCPltbx0NOqElUlShokZmDr\nrMQsVYkhqhIlRUp+YIerxPFVo5laPUFVoqrEQ6vEs8+GCy5QlShlr2QHts5KzApXiTeN7c9kVYmq\nEiWVIh3YZvYoMBboBWwB/q+7/7iN6444sHVWYpaqxBBViSKRD+yRwHp3bzCz04HngMvc/eWc6w4b\n2K1V4isfvs0UVYmqEkFVokiOSMMZd18Tfm3AgeHAy0e4/mCVuLFxO9OqJ/Dw8LtUJR6sEqtVJapK\nFClY3humZnY/cDPBtshLwOK2rntq58qDVeL06olMPP4CVYmoSlSVKNJxBb3paEG9MhrIAP/q7gdy\n/twvWfOPzBgyiUsqzlWVqLMSs1ViZWUwqFUlihwmlp8l0rJB/XszuxGYAtyXe835v+jOKlvEKhaR\nyWTIZDKFfInEyq0S50wZqCpx5UoYMgS+8AVViSIhNTU11NTUFPx57Xqsz8zmArvd/Y6cj5fEEWGd\nSVViiKpEkXaJ7CkRMxsIXAwsBD4EPgf8GrjW3RflXJuaga0qMURVokiHRDmwBxAM6I8DXYB3gFnu\n/nAb15b9wFaVGKKzEkUiUbKlY1KpSgxRlSgSKQ3siKhKDFGVKBILDewOcHeWrwmqxNc3qkrkrbeC\nQa0qUSQWZXNEWGdSlRjSWiUuWwaNjaoSRUqABjaqEg+hKlGkZKV6S0RnJYaoShQpGu1hH4XOSgzJ\nrRLHjFGVKNLJNLDbULv7AHOX1DF3iarEQ6rEU08N9qirq4u9KpFU0sAOUZUYoipRpORoYKMq8RCq\nEkVKVqoH9tr3GpmtKjGgKlGk5KVyYKtKDFGVKJIYqRnYqhJDVCWKJFLZl46qEkNUJYqkQuIGtqrE\nkOZmeOUVVYkiKZGYLZF9Tc4vnqtnzpOqElUlipSXstnD3tPQzM9+W8f9C3epSlSVKFKWEj+wVSWG\nqEoUKWuJHdiqEkNUJYqkQuIGdrhKvGZMX6aOr+QjAxL3nmg0VCWKpEpiBna4Srx5bH9uU5WoKlEk\nZUp+YKtKDFGVKJJqJTmwVSWGqEoUkRaRlY5mdhzwA2AsUAW8CfyTuy/JdzHhKnFnfTPT014lrlsX\nDGpViSJSgHw2i7sBG4Ax7v6umV0OPG5mZ7n7hqN9YrhK7GJBlXjl+aoSVSWKSHu0a0vEzP4EzHT3\neTkfd3dXlRimKlFEjiG2PWwzGwy8BYxy99dz/szvf2qnqkRQlSgieYvlp/WZWTfgMeCnucO61erX\n9/Hzr1WrSmytEr/4RVWJIhKJvAe2BfsZjwH7gGlHuu7kugeY9wjMAzKZDJlMpsOLTITcKvHWW1Ul\nikibampqqKmpKfjz8t4SMbOHgZOAy9y98QjXlMQRYZ1KVaKIdFCke9hm9iDwcWCsu+89ynXpGdiq\nEkUkIpENbDM7CXgbaAAOtHzYgdvc/T9yri3/ga0qUUQiVpKlY2K5w/r1wR21qkQRiVjZn+nYKVrP\nSnzhBWhqUpUoIkWlgd2WAwfg1VdVJYpISdGWSJiqRBEpAu1hF0JVoogUkQZ2PsJV4vDhwR714MHF\nXpWIpIwG9tHorEQRKSEa2G3ZsSN4I/G111QlikjJ0MAO27o1eDRv/XpViSJScjSwAd59NxjUmzap\nShSRkpXegd1aJb7wAtTWqkoUkZKXvtJRVaKIlLnkD2xViSKSEsndEmlqCh7LU5UoIglXvnvYrVXi\nihUwdKiqRBFJvPIb2KoSRaRMlc/AVpUoImUu+QNbZyWKSEokd2DrrEQRSZnkDWxViSKSUskY2KoS\nRURKvHRUlSgiUrC8BraZ3Q7cDPwl8HN3/0q7vpqqRBGRdsv3Dnsj8G3gEqBXwV8lfFZiVRWMG6cq\nUUSkQF3yucjd57v7k8COgl59375gSM+aBW+8AV/4Atx0UxC+lPmwrqmpKfYSSoa+F1n6XmTpe1G4\nvAZ2wfbuhWefDQb1li1www1w3XWpSsj1f8YsfS+y9L3I0veicNG/6bh0abZKvPVWVYkiIhGJ5ymR\nKVNUJYqIRKyg57DN7NvAiUd6SsTMSuh8MBGR5IjsOWwz6wp0B7oC3cysB7Df3Q8U+gVFRKR98n3T\n8W5gL/APwBdbfv3PcS1KREQOF2maLiIi8YnnsT4REYlcJAPbzKrMbJ6Z7Tazt8zsuiheN2nM7HYz\nW21mDWb2cLHXU0xmdpyZ/cjM3jazXWb2kpmNK/a6isXMHjWzzWZWa2ZrzeyWYq+pmMzsNDP70Mwe\nKfZaisnMalq+D3VmVm9mrx3t+qjusH8ANAADgRuAB8xsRESvnSStCf+Pi72QEtAN2ACMcfcK4OvA\n42Z2UnGXVTTfA05x90pgPPAdMzunyGsqpvuAF4u9iBLgwN+5e3937+fuR52bHR7YZtYbuAq4290/\ndPflwALgxo6+dtK0O+EvQ+6+192/5e7vtvx+EfAWcG5xV1Yc7r7G3RtafmsE/6IOL+KSisbMrgV2\nAr8r9lpKRN5P10Vxh3060OTub4Y+9ifgzAheW8qEmQ0GTgP+u9hrKRYzu9/M9gCvAZuAxUVeUqcz\ns/7AN4E7KWBQlbnvmdk2M3vBzD57tAujGNh9gbqcj9UB/SJ4bSkDZtYNeAz4qbu/Xuz1FIu7307w\n78uFwH8C+4q7oqL4FjDX3TcVeyEl4mvAqcCJwFzgKTM75UgXRzGwdwO5HXoFUB/Ba0vCmZkRDOt9\nwLQiL6foPPB7YBgwpdjr6UxmNgoYC9xb7LWUCndf7e573L3J3R8BlgOXHen6KH6WyOsE9ePw0LbI\n2aT4r75yiB8DA4DLcsvYlOtG+vawPwucDGxo+Q95X6CrmY109/OKu7SS4Rxlq6jDd9juvpfgr3ff\nMrPeZnYhcCXwaEdfO2nMrKuZ9SSU8Ldk/alkZg8CZwDj3b2x2OspFjMbaGZ/Y2Z9zKyLmV0CXAv8\ntthr62Q/JPiP1CiCm7oHgYXA54u5qGIxswoz+3zrnDCzLwJjgCVH+pyoHuu7HegNbCP46+9kdz/q\n84RlSgl/i5bH9/6W4F/OrS3PmNal9Bl9J9j+eJfgCaJ/A2a0PDmTGu7e4O7bWv8h2E5tcPe0PlXV\nHfgOwdx8n2COTnD3N470CUrTRUQSQmm6iEhCaGCLiCSEBraISEJoYIuIJIQGtohIQmhgi4gkhAa2\niEhCaGCLiCSEBraISEL8f0xRDuTFV1stAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x984b550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(x, x+1, color=\"red\", alpha=0.5) # half-transparant red\n",
    "ax.plot(x, x+2, color=\"#1155dd\")        # RGB hex code for a bluish color\n",
    "ax.plot(x, x+3, color=\"#15cc55\")        # RGB hex code for a greenish color"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Line and marker styles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To change the line width, we can use the `linewidth` or `lw` keyword argument. The line style can be selected using the `linestyle` or `ls` keyword arguments:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xjMJwzfS1DLt55ibe2vOWOuQ+1+U5PNL8EWa/TZc34euTXzPb0/LTuM83q+ss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\nYUIIIYQQkrD8PwrfSAJV3mn5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x891f0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12,6))\n",
    "\n",
    "ax.plot(x, x+1, color=\"blue\", linewidth=0.25)\n",
    "ax.plot(x, x+2, color=\"blue\", linewidth=0.50)\n",
    "ax.plot(x, x+3, color=\"blue\", linewidth=1.00)\n",
    "ax.plot(x, x+4, color=\"blue\", linewidth=2.00)\n",
    "\n",
    "# possible linestype options ‘-‘, ‘--’, ‘-.’, ‘:’, ‘steps’\n",
    "ax.plot(x, x+5, color=\"red\", lw=2, linestyle='-')\n",
    "ax.plot(x, x+6, color=\"red\", lw=2, ls='-.')\n",
    "ax.plot(x, x+7, color=\"red\", lw=2, ls=':')\n",
    "\n",
    "# custom dash\n",
    "line, = ax.plot(x, x+8, color=\"black\", lw=1.50)\n",
    "line.set_dashes([5, 10, 15, 10]) # format: line length, space length, ...\n",
    "\n",
    "# possible marker symbols: marker = '+', 'o', '*', 's', ',', '.', '1', '2', '3', '4', ...\n",
    "ax.plot(x, x+ 9, color=\"green\", lw=2, ls='--', marker='+')\n",
    "ax.plot(x, x+10, color=\"green\", lw=2, ls='--', marker='o')\n",
    "ax.plot(x, x+11, color=\"green\", lw=2, ls='--', marker='s')\n",
    "ax.plot(x, x+12, color=\"green\", lw=2, ls='--', marker='1')\n",
    "\n",
    "# marker size and color\n",
    "ax.plot(x, x+13, color=\"purple\", lw=1, ls='-', marker='o', markersize=2)\n",
    "ax.plot(x, x+14, color=\"purple\", lw=1, ls='-', marker='o', markersize=4)\n",
    "ax.plot(x, x+15, color=\"purple\", lw=1, ls='-', marker='o', markersize=8, markerfacecolor=\"red\")\n",
    "ax.plot(x, x+16, color=\"purple\", lw=1, ls='-', marker='s', markersize=8, \n",
    "        markerfacecolor=\"yellow\", markeredgewidth=2, markeredgecolor=\"blue\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Control over axis appearance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The appearance of the axes is an important aspect of a figure that we often need to modify to make a publication quality graphics. We need to be able to control where the ticks and labels are placed, modify the font size and possibly the labels used on the axes. In this section we will look at controling those properties in a matplotlib figure."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plot range"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first thing we might want to configure is the ranges of the axes. We can do this using the `set_ylim` and `set_xlim` methods in the axis object, or `axis('tight')` for automatrically getting \"tightly fitted\" axes ranges:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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UROLIfoiqkUBXETlDRCoCXYHhYQtqTIQYtcyaZhg3Vm5fybR102hfv73rKCaH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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109cb3750>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n",
    "\n",
    "axes[0].plot(x, x**2, x, x**3)\n",
    "axes[0].set_title(\"default axes ranges\")\n",
    "\n",
    "axes[1].plot(x, x**2, x, x**3)\n",
    "axes[1].axis('tight')\n",
    "axes[1].set_title(\"tight axes\")\n",
    "\n",
    "axes[2].plot(x, x**2, x, x**3)\n",
    "axes[2].set_ylim([0, 60])\n",
    "axes[2].set_xlim([2, 5])\n",
    "axes[2].set_title(\"custom axes range\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Logarithmic scale"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is also possible to set a logarithmic scale for one or both axes. This functionality is in fact only one application of a more general transformation system in Matplotlib. Each of the axes' scales are set seperately using `set_xscale` and `set_yscale` methods which accept one parameter (with the value \"log\" in this case):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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n12RVM8ZsEZEFwBhjzCjX/ueB540xdVM4t3YIVcrPnE88T4lPSrC+w3quK3id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\nkfIxqwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108836e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(10,4))\n",
    "      \n",
    "axes[0].plot(x, x**2, x, np.exp(x))\n",
    "axes[0].set_title(\"Normal scale\")\n",
    "\n",
    "axes[1].plot(x, x**2, x, np.exp(x))\n",
    "axes[1].set_yscale(\"log\")\n",
    "axes[1].set_title(\"Logarithmic scale (y)\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Placement of ticks and custom tick labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can explicitly determine where we want the axis ticks with `set_xticks` and `set_yticks`, which both take a list of values for where on the axis the ticks are to be placed. We can also use the `set_xticklabels` and `set_yticklabels` methods to provide a list of custom text labels for each tick location:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.text.Text at 0x10a3ae610>,\n",
       " <matplotlib.text.Text at 0x10a3aedd0>,\n",
       " <matplotlib.text.Text at 0x10a3fe110>,\n",
       " <matplotlib.text.Text at 0x10a3fe750>]"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Vg1pmZvX9ExKgRw//smRJcJ+t8CYiEqa2H9peOi265eCW0vaBXQYyqf8krjvj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\nRERERMLI/wfFj/lmtUIF5gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a35d810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(10, 4))\n",
    "\n",
    "ax.plot(x, x**2, x, x**3, lw=2)\n",
    "\n",
    "ax.set_xticks([1, 2, 3, 4, 5])\n",
    "ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$'], fontsize=18)\n",
    "\n",
    "yticks = [0, 50, 100, 150]\n",
    "ax.set_yticks(yticks)\n",
    "ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18); # use LaTeX formatted labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are a number of more advanced methods for controlling major and minor tick placement in matplotlib figures, such as automatic placement according to different policies. See http://matplotlib.org/api/ticker_api.html for details."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Scientific notation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With large numbers on axes, it is often better use scientific notation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9+1YN865daz9RqKlTwIv4oKy8jGW7l/HRlo+Yv3U+C3Ys4IKuF/DQRQ9xXZ/r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\nG9jKsfVNXL8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1086350d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1)\n",
    "      \n",
    "ax.plot(x, x**2, x, np.exp(x))\n",
    "ax.set_title(\"scientific notation\")\n",
    "\n",
    "ax.set_yticks([0, 50, 100, 150])\n",
    "\n",
    "from matplotlib import ticker\n",
    "formatter = ticker.ScalarFormatter(useMathText=True)\n",
    "formatter.set_scientific(True) \n",
    "formatter.set_powerlimits((-1,1)) \n",
    "ax.yaxis.set_major_formatter(formatter) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Axis number and axis label spacing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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oCIadO72uo9CupH79oEWUh4wUFiJN0O4Du3l88eNMWzKNId2GMPGsiZzf+3zM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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108e5aa90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# distance between x and y axis and the numbers on the axes\n",
    "matplotlib.rcParams['xtick.major.pad'] = 5\n",
    "matplotlib.rcParams['ytick.major.pad'] = 5\n",
    "\n",
    "fig, ax = plt.subplots(1, 1)\n",
    "      \n",
    "ax.plot(x, x**2, x, np.exp(x))\n",
    "ax.set_yticks([0, 50, 100, 150])\n",
    "\n",
    "ax.set_title(\"label and axis spacing\")\n",
    "\n",
    "# padding between axis label and axis numbers\n",
    "ax.xaxis.labelpad = 5\n",
    "ax.yaxis.labelpad = 5\n",
    "\n",
    "ax.set_xlabel(\"x\")\n",
    "ax.set_ylabel(\"y\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# restore defaults\n",
    "matplotlib.rcParams['xtick.major.pad'] = 3\n",
    "matplotlib.rcParams['ytick.major.pad'] = 3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Axis position adjustments"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Unfortunately, when saving figures the labels are sometimes clipped, and it can be necessary to adjust the positions of axes a little bit. This can be done using `subplots_adjust`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vv/ZOSGrfvvrUoYP32K6dF+gKdWksFPwBF6oIsa9sH/n786uF+cEWetT8gdCB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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108f68910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1)\n",
    "      \n",
    "ax.plot(x, x**2, x, np.exp(x))\n",
    "ax.set_yticks([0, 50, 100, 150])\n",
    "\n",
    "ax.set_title(\"title\")\n",
    "ax.set_xlabel(\"x\")\n",
    "ax.set_ylabel(\"y\")\n",
    "\n",
    "fig.subplots_adjust(left=0.15, right=.9, bottom=0.1, top=0.9);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Axis grid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With the `grid` method in the axis object, we can turn on and off grid lines. We can also customize the appearance of the grid lines using the same keyword arguments as the `plot` function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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czXNoULsB3931XY1qquxF1gq0IrvkYtU8pq2bxtAvhlLgLOCxSx9j1qBZlTZV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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109d8d310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(10,3))\n",
    "\n",
    "# default grid appearance\n",
    "axes[0].plot(x, x**2, x, x**3, lw=2)\n",
    "axes[0].grid(True)\n",
    "\n",
    "# custom grid appearance\n",
    "axes[1].plot(x, x**2, x, x**3, lw=2)\n",
    "axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Axis spines"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also change the properties of axis spines:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1nuj19n2kAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a410bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6,2))\n",
    "\n",
    "ax.spines['bottom'].set_color('blue')\n",
    "ax.spines['top'].set_color('blue')\n",
    "\n",
    "ax.spines['left'].set_color('red')\n",
    "ax.spines['left'].set_linewidth(2)\n",
    "\n",
    "# turn off axis spine to the right\n",
    "ax.spines['right'].set_color(\"none\")\n",
    "ax.yaxis.tick_left() # only ticks on the left side"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Twin axes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sometimes it is useful to have dual x or y axes in a figure; for example, when plotting curves with different units together. Matplotlib supports this with the `twinx` and `twiny` functions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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KBg+Gyy9P4c3KWDAu0hvYA9WrY8+vB7qiemzseVGG1w7VeYhMAl5D9eXY+WuBa1E9upyb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\nzQOdc865jPb/cfb84xZ91ZoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109e34f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "ax1.plot(x, x**2, lw=2, color=\"blue\")\n",
    "ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n",
    "for label in ax1.get_yticklabels():\n",
    "    label.set_color(\"blue\")\n",
    "    \n",
    "ax2 = ax1.twinx()\n",
    "ax2.plot(x, x**3, lw=2, color=\"red\")\n",
    "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n",
    "for label in ax2.get_yticklabels():\n",
    "    label.set_color(\"red\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Axes where x and y is zero"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XXoGWLYNRhriFwlyaiUaHuSNDE42B6dMhOxs2blSQi4g0lSNh/uSTdi7y996z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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a47a110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0)) # set position of x spine to x=0\n",
    "\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))   # set position of y spine to y=0\n",
    "\n",
    "xx = np.linspace(-0.75, 1., 100)\n",
    "ax.plot(xx, xx**3);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Other 2D plot styles"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In addition to the regular `plot` method, there are a number of other functions for generating different kind of plots. See the matplotlib plot gallery for a complete list of available plot types: http://matplotlib.org/gallery.html. Some of the more useful ones are show below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "n = np.array([0,1,2,3,4,5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Vuc2maaRzUZ1IuqQrWL7ggvTcV7qvK68sYe/exNoOHAg/+UlJp/ZHJNO98O4L\n5FhO0rfCjqetsdNszpzZrF59MbW1PYAbAdiw4dtMm/Ylamv/L/Asq1Z9kYULr2L+/PlA+2eItWW1\nZDv3dPdApHPt3QtFRSUJta2oSKydSFcV3Qp7cP7gTr9XUjYukfYrLi5m7NjxBMHyTGAmdXWnh8Hy\nfcDXiESWcO21S1i0aFGrm5U0J5orvXLlNFaunMb06TPbfI3uwMwuN7MXzKzGzO6KOV5kZhEzOxDz\nmJ/OvorE0tgVke5m486N7KraRUGvgk6/l2aYM0BhYVO/GT0LHM1tjkQ2cO21S4hEbgISXRx4lLas\nTtg7wPUEtfiaKujY313znJKRNHZFpNtwdx7d9Cj9e3XuYr8ozTBngDlzZpOfP5eg8sVSevXahNlr\nca2eDYPlYBa6uvqGhvSKzpbINtxdhbsvc/fHgPebaaKfGclIGrsi0p1s3r2ZzXs2Myh/UErupxnm\nDHDsQr7f8MILL3DttVcRiQRtcnJeb/i6PdqyZXVsrvOkSWexaNHNbSx71yU0t3pgq5k5sBK42t2b\nC05E0kVjV0S6vN+//nv69OjT6Yv9ohQwZ4j4hXzFxcWcc845MYHrVSxaNLfdG44kWl0jvi70qlVz\niESW0A1TOeI/ut4FnAOsBwqBW4D7gU/Hv1DbuktbdMKW7u0auxq30lbJGrtmNhL4BfBxoBb4HXCl\nu9eb2fkEY/ZE4G/ArLD6lnRjb+9/m/L3yju9lFwsBcwZLD6Ijg2g21pOLtEKGfG5zpHIre3sfdZr\n9Curux8CXgyf7jSzy4HtZlYQnmugbd2lLTphS/d2jV2NW2mrJI7dnxHs33A8cBzBpyDfMLMHgEeA\nLwOPA98HHqSJTdGke/nj5j/SM6dnymaXQQFzVulIObm27yYY9Qlyco6mhnSjrbQTXRylvFDJNBq7\nkm3GAt9291pgh5n9MTx2EbDB3R8GMLMSoNLMTnP3+IU+0k3sOrSLZ996lpH9R6b0vnrDTJNkLKRL\n9BqNZ41bXjAYvwAxP/8+Fi6cw5Qpy5kyZXmXz182s1wz603wy2SumeWZWQ8z+ycz+6CZ5ZjZYIIZ\nkafd/UB6eywS0NiVLFYKXGJm+WZ2AvAZ4A/AGUB5tJG7VwGbgXFp6aVkhFVbVpFjOeTm5Kb0vpph\nToO2zvg2lU7R0jXi27dFc7nO87tP1dZrgGtjnl8KlACvEWzhPhTYD6wAvpDqzom0QGNXslUJ8CeC\n8ZkL3O1WSVazAAAgAElEQVTuj5nZZwly8GPtB/qmtnuSKfYf3s+f3vwTw/sOT/m9FTCnQVtqIjcX\nGDd3DeCY9vPnX8GaNYkvGGxv6kdX4O4lBG/eTflN6noi0jYau5KNLEhCLQV+C3wE6AfcaWY3AAeB\n+CK7A4BGn45owWr3sbpiNfWRenrm9uzQdSrWV1CxvgKAfTX7EnqNAuYM11JgnGj71auXJ1QhQ0RE\nJMUKgbOB89z9CLDbzO4m2ITnZ0T/MwPMrAA4BdgYewEtWO0eqo9U8+TrTyZldrloQhFFE4oA2LZv\nG+sfXN/qa5TDnAaN84S/S07OHCor329TLvOxucZz49IvSoEZwK1UVu6guLiYFSseZsWKhxUsi4hI\npqgEtgNfD/PwBxIEyeXAMmCcmV0U5udfB6zXgr/u6a9v/5XqumryeuSl5f4KmNMgmic8ceLt5OTc\nSSSyhHXrLmP69JnHBM3NBcbRa8QvxpszZza9el1JkL44DfgaGze+1uV36BMRkewTbtd+EfBZguD5\ndeAwcJW7VxLM/CwCdhPUE784TV2VNDpSf4RHNz3KkD5D0tYHpWSkSXFxMfPmLY7Z7rrpXOaWNhxp\nKte4uLiYsWPHs27dZQ3Xra3tNpuNiIhIlnH3vwGfbObcKuD01PZIMs2L219k3+F9FA0sSlsfFDCn\nSWlpKeXlLyfUtq2L8AoLB7e3WyIiIiIZI+IRlr26jEH5g9LaDwXMnay5HfaWLLmNSGQWMLehbU7O\nVcyZ80CH7zlnzmzWrJnZ7m20RURERDLBxp0b2X5oO6MHjk5rP5KWw2xmg8xsmZkdNLMKM2u2zqeZ\nXWVm281sn5ndYWa9ktWPTBItCbdy5TRWrpzWRI7yhwhyk5cDtzJ+/BlJSZtoLr9ZREREJFu4O49u\nepT+veKrC6ZeMmeYbwFqCIrjTwSeMLNyd38ltpGZFRNMq/4LwcrYZcACYF4S+5IRWioJV1m5I9xy\n+iZgGvn5c1m8OHmzwN25lrKIiIhkv827N7N5z2aKBhSluyvJmWEOayNeBFzj7lXu/izwGPClJprP\nBH7l7q+6+15gITArGf3IBpWVO5g+fSbr1n2VSOTL5OTMYeLEuzptFjgZW3CLiIiIpNrvX/s9fXr0\nIdjfJr2SNcN8GlDn7ptjjpUDk5toewbBrHLUS8AwMzvO3fckqT8ZoalcYhjTaNY5EvkQhYXLOy1Y\nbssW3CIiIiKZYNu+bazfsT4jZpcheTnMfQn2d491gGCLy6baxu5DGH1dU22zWlO5xIlUsEjWrHDj\nlJAgcG5pl0ARERGRTPDHzX+kV06vjJhdhuTNMCe033szbQeEf6Zlb/jmqlh05nVbqmChWeH2Kysr\no6ysLN3dEBERkQ7YdWgXf9n2F0b2H5nurjRIVsD8GtDDzE6NScsYDzRVaHgjMAH4XUy7HfHpGKnY\nG76zgtOWrtvSRiSlpaVccsk3m1womGifYgP1SZPOYs2aud2mvFz8L1YLFixIX2dERESkXf605U/k\n5uSSm5Ob7q40SErA7O6HzOwRYKGZ/TtwFsE2lx9rovk9wN1mdj/wHnANcFcy+tFWzVWx6GjAfPS6\nw4HbqK4ezbx517e4Q9/RILttdQbjA+RFi26OCdTnMn/+FaxevRxoHJyLiIiIZJp9NftY9eYqhhUM\nS3dXGklmWblvAHcCOwn2g/+au79qZicRzCqf7u5vu3upmf038DSQTzDTfF0S+5EhNhBUzwuC1/Ly\nqygtLW02YG0cZM9sON7SrHD8TPaqVXOIRJYQ+wvA6tXLWbHi4SR9TyIiIiKd55mtz1Afqadnbs90\nd6WRpAXMYUrF9CaOv0Xcgj53vwm4KVn3bq+O7IgXn6MMNJrpXbXqpkbBaySS6Ox1McFmJiUMGrSL\nX/+6+Vnh+BnySOTWhPouIiIikmmqj1Tz5OtPMrzv8HR35RjdemvslvKJWxI/s7t69cVAT2prfwQE\nqRCjR5/IG28k3pdjg/ctTQbLsYF6ZeX7cVf5RLgZSvQaXTtnWURERLqO595+juq6aob1yKx0DOjm\nATMczSeOBqJLltzWarWM+Jnd2tpbga8RmwrRv//t5OcnvuCuueC9pRzlXr2upFevq6mtjd7jPubP\nn6OcZREREckqR+qP8NimxxjSZ0i6u9Kkbh8wQ+dUyygsHMayZde0afY6fjFgaznKtbUwceLtFBY2\nDpDnz293t0VERFLOzC4mWM90IkFBgFnuvsbMzgduCY//LTz+Vvp6Kp3lxe0vsu/wPooGFqW7K01S\nwEzbq2XEp0/06rUJiJ3pndsQvLY16I5PuWgtR7mwcJgW9YmISNYysynAD4F/c/fnzez44LAVAo8A\nXwYeB74PPEjTFbgki9VH6ln26jIG5Q9Kd1eapYC5ncaMOZWtW69n1KiRLF78GwDmzbuerVvfY9So\nMe26ZvyMck7OnLgWylEWEZEuZwGwwN2fB3D37QBmNhvY4O4Ph89LgEozO83dX0tXZyX5Nu7ayPaD\n2xl9XNtK66aSAmbaVi0jPqitrp7bcG7Tps1UV9/A7t0buOCCLzJ+/DgWL56X8CzzsVUvNsQFyMpR\nFhGRrsPMcoGzgcfM7HWgN/AocDUwFiiPtnX3KjPbDIwj2DBNugB359FNj9I/L37D6MyigJmjC+4S\nmSFuLn0j+DpaR3kukcgS1q2D6dM7kg/9IcaPP0M5yiIi0lUNA3oCM4B/BuqAx4DvAQXArrj2+4G+\nqeygdK7Nuzfzxp43KBpQlO6utEgBc4yjM8QdCXRvI9is5GhAPW/e9Y1qNieaG52fP5fFizWLnEpm\ndjkwi2AG4wF3vyzmnBafSEbSuJUsFv6Px83uvgPAzH5MEDA/A8RPOw4ADsQeKCkpafh68uTJTJ48\nuZO6Kp3h96/9nj49+mBmKbtnxfoKKtZXAMHOgolQwBxKdOFfS+kbwfH4/JsNlJe/QiTy1YY2zQXi\n7a0LLUn1DnA9wQ4y+dGD4eKTh4GvoMUnknk0biUrufseM3u7mdMbidn61swKgFPC4w1iA2bJLm/s\nfoP1761PeWWMoglFFE0I7rlt3zbWP7i+1dcoYG6jloLaaFpHefnRvOOcnLuJRG4i0Qoc7amsIcnj\n7ssAzOwcYGTMqYuAl7X4RDKRxq1kubuAK8zsjwQpGVcR/IK3DPiRmV0EPElQdm69xm7XUBep4671\nd9E/r39KZ5fbSwFzqKWZ4/htsJsLauM3QQGorBzHunWp+R4kqeJ/erX4RLKBxq1ko+uBQoIxWUPw\nKcgid681sxnAz4H7gL8CF6etl5JUT295mm37tzF6YOZWxoilgJmjAfGYMacCd1FYOLjRTntt3dQk\nNqA++vrgnErBZQ2Pe67FJ5INNG4l67h7HfDN8BF/bhVweso7JZ2qsqqShzY+xIi+I9LdlYR1i4C5\nqRni2HOxAXF+/txGAXFbNzWJF5vCUVm5AxjT0BelXmS0+Jm6gySw+AS0AEXapqysjLKysmRdTuNW\nUibJY1e6CXfn/pfux8zI65GX7u4krMsHzK3NELc9IN7A2rXlTJ06o8mKF82lb7zwwgtce+0SIpEv\nA8+yatUXWbjwKuarRlymip+pS2jxCWgBirRNfHC6YMGCjlxO41ZSJsljV7qJ9e+tZ+32tVmTihHV\n5QPmjs4QN85t3gDczu7dP2PlymOD7+aCc4Brr70pDJbvA24gEoFrr72Kc845RzPNGSQsot+T4Gcj\n18zyCBahaPGJZCyNWxHJBlVHqlhavpQhfYZkxUK/WDnp7kBnKS0tZerUGaxdW95iuzlzZpOfPxdY\nCiwNc4xnN5yPplRMmbKcQYMeBX5GEHwHgXF0Nhnig/Oj55csuY1I5APAsxyt0TyTSOSmRq+XjHAN\nUAXMBS4lqBE6390rCQrrLwJ2A+egxSeSOTRuRSTjPf6Px9lfs59+ef3S3ZU265IzzI1nekcD32o4\nl58/l0mTrmDq1BlAEDDHl4kDGp2PplVMnTqDlSvb26tPAHe398WSIu5eApQ0c06LTyQjadyKSKbb\nuncrf9j8B0b2H9l64wzUJQPm+DQMgEGDrufss8czadIVLFp08zFpEytWPAwcm1axevXFjB07nsLC\nwUyadBZr1sxttuJF65uaTAaubGivihkiIiLS1dVH6rl7/d0U9CygR052hp4d7rWZDQLuAKYAlcA8\nd3+gmbazwrZVMYcvdPdnOtqPln2Is8/ewooVDzN16owWc5obB9ul1Nb2YN26YJfZNWvmMn/+Faxe\nvRw4die+1jY1CSpljCW+dJ1INrnwQnjyyXT3QkREssWf3/ozb+55M+U7+iVTMsL8WwgKjQ8FJgJP\nmFm5u7/STPtn3f3cJNy3WS3N9LbNbcCNxAbXq1cvb5iNbkprm5qIZLt0BcsXXJCe+4o058orS9i7\nN7G2AwfCT35S0qn9EclEu6t388CGBzi+3/FZt9AvVocC5rBE0UXAWHevAp41s8eALwHzmntZR+7Z\nmpY2IYHWg+nG59/tzK6KZDWPL2Am0s3s3QtFRSUJta2oSKydSFfi7jz48oPUez29e/ROd3c6pKMz\nzKcBde6+OeZYOTC5mfYOTDSzXQQrtu8FFrt7fQf7AbS+CQm0nDYRf76yMpeNG6+mtpaG6ynnWERE\nRKR1G3dt5Lm3n8vqVIyojgbMfQm2WY11AGiuXsgzBLPRW81sHMF+8XXADzvYDyDxmsstpUfEbjyy\nePE1DdeFY4NrERERETlWTV0Nd627i8H5g8mx7K9i3GLAbGZlQHP5xmsI6rUltO0qgLtvifn6ZTNb\nCFxNEwFzOrZpbW7jkdgKGvHl5lKlpe29JaBtWkVERDLDk68/ye7q3YwaOCrdXUmKFgNmd5/c0vkw\nh7mHmZ0ak5YxHni5DX1oMqe5Pdu0dnSxX3yFjOrq0VxyyTf59a9vAWhxi+3O1Nr23hLQNq0iIiLp\n987+d3j8tccZ0W9EuruSNB1KyXD3Q2b2CLDQzP4dOAv4LPCxptqb2WeAF919h5mNAb4HPNSRPsRq\nKj8Zjt2EpHWlBEHzDezeHQTKY8aM6dAW2x3R0e29RURERFIh4hGWli+ld25veub2THd3kiYZSSXf\nAPKBncB9wNfc/VUAMzvJzA6YWXRbl/OAcjM7CDwBPAz8IAl9aFBcXMyKFQ83pFFMnz6TlSunsXLl\nNKZPn0lpaWlD22iKxdSpMygtLY3ZJruE2C2sq6tvYOvWt5PZTREREQmZ2QfMrMbM7o05dr6ZbTKz\nQ2b2lJmdlM4+SmL+su0vbKrcxNCCoenuSlJ1uA6zu+8Bpjdz7i1iFgC6+9UEOctJ11SOb0szs82l\nOSxbtpRLLvkmu3dDMNN8G/AueXlHyMm5ikgkuF8qK2Ykr660iIhIRroFeJ6gmhZmVkgwqfYV4HHg\n+wSFApr8BFsyw76afdz/0v0M7zs8q2suNyU79yeM01zw25LmgukVKx7m17++hWnTLqa2tgfBxiUb\n2L79duCrwK3k5LzO/PlXpSwlorVSeCIiItnKzC4G9gCvAKeGhy8CXnb3h8M2JUClmZ3m7q+lpaPS\nqt++8luO1B+hT88+6e5K0nWJgPlo8DscuI3q6tHMm3c9ixdf066Z2eLiYsaOHR9uiT0TmAH8jGhw\nHYksZfXq5cyf3znfT3N9UpAsIiJdiZn1BxYA/wLMjjk1lmBfBwDcvcrMNgPjAAXMGWhT5Sb+vPXP\nXaYqRrzsL4zXYANBQDsN+Brl5cHO3MuWLWXKlOVMmbK8UWWJo/nKS4GlYTB99Ge1sHBwq3eMz4EW\nERGRNrke+JW7v0uQjhHdQ7SAY/d52E+w/4NkmNr6Wu5adxcDew/sEjWXm9IlZpjnzJnNqlVfJBJZ\nwtFZ4KMpFtEgOb6OcktpDo3zhkcTlJwO5OfPZdKkK1TqTUREpJ3MbAJwPjAxeoijpWYPkuA+D+nY\nt0EaK91cyo5DO7JmR7+K9RVUrK8AgrzrRHSJgLm4uJjx48exbl3j45WVOxoC5EmTzmLRopub3ZSk\nqWvGBtSTJv0nq1cvB4LgWqXeREREOmQSUAS8FS4Q6wvkmtkZwK1E/4OlYd+HU4CN8Rdpz74Nkjzv\nHXyPRzc9mlU1l4smFFE0oQiAbfu2sf7B9a2+pksEzACLF88LZ3yD5716XcnGjT2prf0qAKtWzWk0\nA51IgBufNxybsxwNpAOlwK2sXbuL0tJSBc0iIiKtuw14IPzagO8SBNBfC5//yMwuAp4ErgPWa8Ff\nZol4hHvK76FHTg965fZKd3c6VZdJNInOCEfzlceOHU9t7Y+I1lKORD6Q1PsdzYH+LnAp8DV2777m\nmFrPIiIicix3r3b3neFjB0EaRrW7v+/ulQQr7hcBu4FzgIvT2F1pwtNbnublnS8zvO/wdHel03WZ\nGWZoPCMcTcU46hNJraMcDdCDms03otQMERGR9nP3BXHPVwGnp6k70ory98pZWr6UE/qd0OVqLjel\nSwXMsY7d7OM+5s+f0ygPuaNBbXFxMWefPZ6VKzvaWxEREZHsULG3gpufv5lhBcPI65GX7u6kRJcN\nmJvb7CPZtZO1C5+IiIh0F7sO7WLJc0so6FlAQa+CdHcnZbpswAyp2exDu/CJiIhId3Cw9iA/+etP\nqKuvY1jfYenuTkp16YA5VbQLn4iIiHRlR+qP8Iu//4Idh3Ywsv/IdHcn5bpMlQwRERERSb6IR7jv\npft4eefLnNDvhHR3Jy0UMIu0gZmVmVm1mR0IH6+mu08iidDYFZH2euK1J3iq4ilGDRzVLSpiNEUB\ns0jbOPBNd+8XPlTySLKFxq6ItNlz257joVce4qT+J5Fj3Tds7L7fuUj7dc9fr6Ur0NgVkYT9o/If\n3Lb2Nkb0HUHP3J7p7k5aKWAWabvFZrbLzNaY2aR0d0akDTR2RSQh7x54l5v+ehPH5R9Hfs/8dHcn\n7bpNlYzS0tKY0m+zVdVC2msusBGoBb4APG5mE9z9zWiDkpKShsaTJ09m8uTJKe6iZJOysjLKyspS\ncasWx67GrbRVCseupNjemr0seW4JuZZL/7z+6e5ORuhwwGxmlwOzgHHAA+5+WSvtrwL+E+gD/A74\nurvXdrQfLSktLWX69JlUV98AwJo1M1m2TPWSpe3c/fmYp/eY2ReAC4CfRw/GBh4irYkPThcsWNB8\n4w5obexq3EpbpWrsSmrV1NVw899u5kDNAUb0H5Hu7mSMZKRkvANcD9zZWkMzKyaY5TgPGAWcDCT9\nJ6y0tJSpU2cwdeqMhpnlIFieCQSBc3S2WURERESgPlLPr178FVv2bOH4fsenuzsZpcMzzO6+DMDM\nzgFaq2Q9E/iVu78avmYh8GtgXkf7EdXUbPKYMWOSdXnpxsxsAPBRYDVQB/wf4JPAFensl0hrNHZF\npDXuzm9f+S3Pv/M8oweO7hbl4w7VHuJI/ZGE2iZz0V8if7NnAOUxz18ChpnZccnqRFOzyVBHfv5c\nYCnwXXJy5lBZ+T6lpaXJuq10Dz0JPk3ZCewCvgl8zt03p7VXIq3T2BWRFj215SmeeO0JRg3o2rWW\n6yJ1vHvgXbbu3UrEI1x65qUJvS6Zi/48gTZ9gX0xz/eHf/YD9iSxL40UFg5j2bJrmDfvesrLXyES\nuYl162D6dOUyS+LcvRL4p3T3Q6StNHYlU5lZL+AXwPnAIOANYJ67/zE8fz5wC3Ai8Ddglru/labu\ndlnl75VzT/k9nDjgRHJzctPdnaRzd/Yf3s/emr3k5uTy0ZEf5dxR53LqoFMTri3dYsBsZmXAuc2c\nXuPusecS+XXkIBC73HJA+OeB+IbtXbE9Z85s1qyZSXV18Dw/fy5z5gRB8ZIltxGJfJVg9hmqq4MZ\naQXMXUN3XLF94YXw5JPp7oWISLv1AN4CznX3t8zsQuAhMxsHVAGPAF8GHge+DzwIfCxdne2KKvZW\ncPPzNzO0YCi9cnuluztJVVtfy85DO6mL1HFi/xO56PSLmHj8RPr26tvma7UYMLv75DZcK5EZ5o3A\nBILqGADjgR3ufszscntXbBcXF7Ns2dKYEnKaQe4uuuOK7XQFyxdckJ77inTElVeWsHdv6+0GDoSf\n/KSk0/sj4O5VxCz+d/cnzGwLcA5QCGxw94cBzKwEqDSz09z9tXT0t6vZeWgnS55bQkHPAgp6FaS7\nO0nh7uyu3s3B2oPk9cjj/JPP5xMnfoIT+5/YoVSTZJSVyyXIj+sB5JpZHlDn7vVNNL8HuNvM7gfe\nA64B7upoH+IVFxc3GSQ3N/ssku08kV9XRbq5vXuhqKik1XYVFa23kc5hZsOA04CXCXLtG9Y9uXuV\nmW0mKGOrgLmDNlVu4ufP/xx3Z3DB4HR3p8Oqj1Szq2oX7s4HCz/IlJOnMG7oOPJ65CXl+snIYb4G\nuDbm+aVACbDQzE4imFU+3d3fdvdSM/tv4Gkgn2Cm+bok9CEhmn0WERHJTGbWE7gfuNvdXzOzAoJF\nqrH2E6yHknaKeIQ/vP4HHtr4EIP7DM7qjUnqI/VUVlVSU1dDv7x+fH7M5/noyI8ytGBo0u+VjLJy\nJQQBclPn3iJY0Bd77Cbgpo7et72am30WERGR9DCzHOBeoAa4PDwcv+4JgrVPjdY9aZfKxB2sPcid\n6+7k7+/8nZMGnETP3J7p7lKb1Ufq2V29m6ojVeRYDmcdfxaTiybzwcIP0iMnsbC2PWueus3W2CIi\nIpJ5LEgsvQMYAlwQk9K5kegq/aBdAXBKeLyBdqlMzFv73uLmv93Mnpo9nHzcyVlVOi7iEfZU7+Fg\n7UHMjDOHnsknR32S04ecTp+efdp8vfaseVLALCIiIun0C2AM8Cl3PxxzfBnwIzO7CHiSIIVzvRb8\ntY278+y2Z7lz3Z0U9CxgZP/W9pjLDO7O3pq97D+8HzPj9CGn88kTP8nYoWPpl9ev9QskWbcNmKNb\nZkOwGFBpGiIiIqllZqOA2QSpGO/FzHrOdvcHzGwG8HPgPuCvwMVp6WiWOlx3mAc2PMBTFU8xot8I\nevfone4utcjd2Xd4H/tq9oHBqYNO5V/H/isfGvohBvQe0PoFOlG3DJib2j5bG5iIiIiklrtvpYVd\nh919FXB66nrUdew8tJNbnr+Frfu2UjSwKOENOlLN3TlQe4A91UGF4aKBRXx+zOc5c9iZDMoflObe\nHdUtA+bG22drAxMRERHpOl567yX+54X/AYIANNNEPMK+mn3sP7wfDEb0HcEFZ17A+GHjGVIwJN3d\na1K3DJhFREREupr6SD3L/7GcZZuWMbRgaLt2tOsstfW17K7ezeG6w5gZHxj0AT4/5vOcPuR0hhUM\ny/hFiN0yYNYGJiIiItKV7KvZx+0v3s5LO17ipAEnJVxirbO4O4eOHGJP9R4cJy83jw+P+DBnjzib\nUwedmlHBfCK6ZcCsDUxERESkq3hzz5v87G8/41DtIUYPHJ222dr6SD17a/ZysPYgAMP6DuNzYz7H\nuKHjGDVgFLk5uWnpVzJ0y4AZtIGJiIiIZDd35+ktT3PvS/cyoPcATuh/Qsr7UFNXw+7q3dTV12Fm\njB0ylo+M/AgfLPwgg/MHZ3yqRaK6bcAsIiIiko3cnYq9FSz/x3LWbl/LCf1OIK9HXkruXVtfy96a\nvVTXVWMYBT0L+ORJn2Ti8RM55bhTyO+Zn5J+pJoCZhEREZEs4O5sqtzE8n8s59XKV+md27vTS8Y1\nBMhHqjEzevfozbih45gwbAKjjxvNsL7DMrZkXTIpYBYRERHJYPWResrfK+fRfzzK1n1b6duzL6MG\njOqUdIfa+lr21eyj6khVowB5/LDxjD5uNMP7Du8WAXI8BcwiIiIiGai2vpa/v/N3lm1aRmVVJQPy\nBlA0oCipgfKR+iPsrdnLoSOHyCGHvB55wQzy8AndOkCOp4BZREREJINUHani2beeZfk/lnOg9gCD\n8wcnZQOS+kg9B2sPcqD2APWResyMvNy8RjPIx/c7XgFyExQwi4iIiGSAvTV7WV2xmj9s/gOH6w4z\npGAIg/sMbte1Ih7hUO0hDtQe4Ej9EcyMHMth1IBRfPzEj3PKoFMY0W8EQwuGKkBOgAJmkSTrIhV0\nREQkRXYe2smf3vgTqypW4e4MKxjWpqoX7k7VkSoO1B5o2EkPYGT/kQ0bhZzQ7wSG9R2W9g1NspX+\n1kSy3AUXpLsHIsl35ZUl7N3beruBA+EnPynp9P6IJFt9pJ5t+7ex4o0VPPf2c+RaLsMLhtMzt2ez\nr3F3jkSOUHWkiqojVdTW15JruUSIMLxgOB8d+VE+OPiDjOg3guP7HU+v3F4p/I66NgXMIknmnu4e\niGS/vXuhqKik1XYVFa23EckER+qP8Pb+t3lzz5u8tOMlNlVu4kjkCLmWy8h+IxvtgufuHK4/zKHa\nQ1QdqSLiEXIsh4hHKOhVwMj+IykaUMRJA09ieN/hHN/3+C5b/zhTdDhgNrPLgVnAOOABd7+shbaz\ngDuAqpjDF7r7Mx3th0gqmNkggjE8BagE5rn7A+ntlUjLNG4lW2Xz2K2pq+GtfW/xxu43KN9Rzubd\nm4l4BHenb6++DCkYQo7lUH2kmt3VuxvKuBlGxCMMyh/EycedzMnHncyIfiMYUjCEwj6FFPQs6DK7\n52WTZGR5vwNcD9yZYPtn3b1fzCMjguWysjLdswvetxPcAtQAQ4EvAr8wszPS2aHuMo66yz07ScrH\nbWf83VVUdM9rZkMfO1HWvOcerD3IK7te4bFNj7Fg9QK+/vuvs6BsAXesu4OXdrxEfaQedyfHcqg6\nUsW7B97lnf3v0CO3B2cOO5OLx13Mtz/ybRb+y0Ju/V+3sqR4CVd97Co+N+ZzHHr9EEUDi+jbq2/K\ngmXFC411eIbZ3ZcBmNk5wMgEXpKRvxaVlZUxefJk3bOL3TeZzKwAuAgY6+5VwLNm9hjwJWBeuvrV\nXcZRd7lnsqVr3HbG311FRRlFRd3vmtnQx86Qie+57s6KVSs49axTqayqZPuB7bz43ou8u/9d9h/e\nT25vCWsAAAiqSURBVHVdNXWROvJy8+jdozeFfQop7FPI0IKhDO87nCEFQ+if158BeQMY0HsAfXv1\nTahCRXd6/8vU991k5jAnEgg7MNHMdgG7gXuBxe5en8R+iHSW04A6d98cc6wcmJye7ogkRONWslWn\njF13p97rqY/UcyRyhEO1h6isqmz02FW1i9r62oa8YXfHcSIe4ZmtzxB5PkLEIw3nTh9yOuOGjOO4\n/OMY0HsA/fP60z+vvypSdCHJ/JdMZKnTMwS/KW41s3HAg0Ad8MMk9kOks/QF9scdOwD0S0NfRBKl\ncSvZKqGxe93T1+E4Hq64jv8aaAh4m/o6x3IacoejtYoN47j84xpmiKOPwfmD6fFMDxZ+amHnfdeS\nkcxbWNJvZmXAuc2cXuPu58a0/T5wQkuL/pq4/v8Brnb3c+KOq86AJIW7Jy0FyMwmEoz7gphj3wXO\ndfdp4XONXekwjVvJVhq7kq1aG7stzjC7++S23KsNbWMd08Fk/sCJJNFrQA8zOzXmI8LxwMvRBhq7\nkoE0biVbaexKxuhwlQwzyzWz3gTBd66Z5ZlZbjNtP2Nmw8KvxwDfAx7taB9EUsHdDwGPAAvNrI+Z\n/TPwWYJcfJGMpHEr2UpjVzJJMsrKXUNQV3kucClQDcwHMLOTzOyAmUWrZ5wHlJvZQeAJ4GHgB0no\ng0iqfAPIB3YC9wFfc/dX09slkVZp3Eq20tiVjNBiDrOIiIiISHeXjBnmDjOzy83sBTOrMbO7Emh/\nlZltN7N9ZnaHmbV5s3QzG2Rmy8zsoJlVmNkXWmg7y8zqw9ny6KO5xZAduU+Hv6+23LMj31fcdRL+\n90vi95jQPZP1PSbQn4T/nZN0vzb9zCTpnr3Cf7MKM9tvZuvM7NMpuO994ZjZb2Zvmtn8zr5nzL0/\nEP4dp+QjYDMrM7PqmLGa0pm0ZIyrZP8sdMZY76yx3FljNZnjsLPGmJldbGavhv/umy1In+g0qX7P\nDe+p993Ov2/GvudmRMBMG3YLNLNigvSP84BRwMnAgnbcs627B7V3h8KE7pPE7yvhe4aSsfNiQv9+\nSf4e27LDZCp2l0z1blRt3WEzGXoAbxGsUP//7Z1LiBxVFIa/o44IhgmBjAERY1yI0UXiA1dKhCiD\nWWSjQoKLCO58LGYhbhI1GshCECFEJRiUgBsVggTBjZCFcTELF+IgKhqNkphFSDQPI2qOi1sd26Ef\ndbvuqe7B/4Niprtr6q9T979nbnffumeadA/Ce2a2Olh3N7Cm0nwIeKaNfxgVe4F5Rr+pORcHnury\n6tqWdDuU8FXpvhDh9SgvR3m1pA+Le8zMHiQtD7vN3ZcB9wHfNz3uEMZRAVB5N56JzbkTMWB294Pu\n/iFwqsbu24C33P0rdz8DvAQ8nqNn/1YP2uHuF9z9CNCpHtT3z3I0RtBpHNcImlCg8mJG+xWJMVMT\ngqtLjuinRmTGX0rzgrvvdPdj1eOPgKPAncG6C+5+seupv0jzGUMxsy3AaeAT2q1QOra7/pv6KqIv\nRHg9yssRXg3yYWmP7QR2uvs8gLufcPfjhTUuM46cC8q7BOfdSc+5EzFg7qLOSd9GqvTT4QtglZmt\nyNDpVz3o9j77X65QaGZfm9l267MSSAOdEnHlao4aVz+GtV+pGHM0S8fYi1w/lWRsgytLK97cAiy0\noPW6mZ2vtHa5++fBetOkQcAc7V/j3ZVfPzWzDS1rdxg15si+ENYOJb1c0quBPizmsSqf3gVcZ2bf\nmtlPZrbH0upZUYwz54LyboTWxOfcSRsw1/kIfhnwa9fjThWgnKpVuZWvOhUKZ4CHga3As4V1SsSV\nqzlqXP0Y1n6lYszRLB1jL8ZZSW0sd+2a2RTwLvCOu38TrefuT5Ku8wPALjO7J1jyZdK3Icdp9xo/\nB6wBrgf2AYfM7OYW9TuMGnNkXwhph9JeLuzVCB+W9tgqYIqUX+8F1gN3kKYORDHu6pXKu+WZ+Jwb\nPmCuJlRf6rMtnkta513FOWC66/Hy6ufZDM2zi47ROc5ZeuDuR939x+r3L0lTCR4Z4VwH6QyNqya1\nNRvE1Y9h7VcqxtqaATH2IqedS9P6Jx1mdgVpHdSLwNNt6XriMPA+6Y1PCGa2HtgIvNZ5KkprMe4+\n7+7n3f1Pdz8AHAE2lTh2QC7uRWRfKN4OUV4u4dUoHwZ47Pfq5x53P+nup4BXGx5zGOPMuaC8W5Sl\nknMHVvordDL35+xeY58F0jvYD6rH64CT7n66rmY1/2lg9aAa1GnQoVWKuhgaV01yNHvRxKjD2q9U\njDmavSjdGZte8ya0+kmHmRmwH5gBNrn7323qV0wRO4dwA3ATcCyFyzJSUaa17n53oG4oAbm4F5F9\noajXW/JyE68uCR+6+2kz+7ll2XHmXFDeLc2S8PpETMmwjGqBwAHgCTNbW8193QFkLe/imdWDbMQK\nhZk6jePK1Rw1rh7Hqdt+RWLM0SwV4yBy/VSCzD5TkjeAW4HN7v5HtJiZzVharuraKuZZ4FHSDT5R\n7COt4LKO9AbvTVKhpdlATcxsuZnNmtk1ZnaVmT1GWm3g40jdRefQyFcRfSHQ60W9HODV4j4M9Njb\npFUUZqrcPgccanjMvowj54LyLnF5d2nkXHcf+wa8CFxatD1fvXYj6WuWG7r2nwN+Ic2H3Q9MjaC5\nAjhI+mrnB2BL12v/0QReqfTOAd9V53tlE52ouHI0m8RVp/2CY6ylWSrGJn5qu88Eaq6udC5U17iz\nbQ3UXAkcJt05fYa03NDmyDh7nMMLwIEWdFZW8f1WxfsZsLHlWBv7qnRfiPB6hJejvVrCh1EeIw0g\n91bHPEH6av3qYK+2mnOjvFhD83+Xdyc156rSnxBCCCGEEAOYiCkZQgghhBBCTCoaMAshhBBCCDEA\nDZiFEEIIIYQYgAbMQgghhBBCDEADZiGEEEIIIQagAbMQQgghhBAD0IBZCCGEEEKIAWjALIQQQggh\nxAD+AX5xHVO2qhHDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10aa437d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 4, figsize=(12,3))\n",
    "\n",
    "axes[0].scatter(xx, xx + 0.25*np.random.randn(len(xx)))\n",
    "axes[0].set_title(\"scatter\")\n",
    "\n",
    "axes[1].step(n, n**2, lw=2)\n",
    "axes[1].set_title(\"step\")\n",
    "\n",
    "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n",
    "axes[2].set_title(\"bar\")\n",
    "\n",
    "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n",
    "axes[3].set_title(\"fill_between\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vROpKcinIaV4WbEPqQDGZTNSzZ0+TSqV6myKgvnoL52TLp1QqH09MTBy/cuVKjZBNI5tj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\n+H9pxg7jBzNaFQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10aa714d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# polar plot using add_axes and polar projection\n",
    "fig = plt.figure()\n",
    "ax = fig.add_axes([0.0, 0.0, .6, .6], polar=True)\n",
    "t = np.linspace(0, 2 * np.pi, 100)\n",
    "ax.plot(t, t, color='blue', lw=3);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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R7z2+FFgs6SBJBwOLgZUAeZjI7cASSeMkLQBmA6vytleQZv+YJ2k8sBxY1TDG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\nmZmZWYccTJuZmZmZdej/A87LuhDi3OhLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10880b250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# A histogram\n",
    "n = np.random.randn(100000)\n",
    "fig, axes = plt.subplots(1, 2, figsize=(12,4))\n",
    "\n",
    "axes[0].hist(n)\n",
    "axes[0].set_title(\"Default histogram\")\n",
    "axes[0].set_xlim((min(n), max(n)))\n",
    "\n",
    "axes[1].hist(n, cumulative=True, bins=50)\n",
    "axes[1].set_title(\"Cumulative detailed histogram\")\n",
    "axes[1].set_xlim((min(n), max(n)));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Text annotation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Annotating text in matplotlib figures can be done using the `text` function. It supports LaTeX formatting just like axis label texts and titles:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6NMycCTfeCH36wFVXqRdSfvfrr66E99lnbtqIAQNc54FAtAckpiQya8ssPl79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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109d95550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(xx, xx**2, xx, xx**3)\n",
    "\n",
    "ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n",
    "ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Figures with multiple subplots and insets"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Axes can be added to a matplotlib Figure canvas manually using `fig.add_axes` or using a sub-figure layout manager such as `subplots`, `subplot2grid`, or `gridspec`:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### subplots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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lVmr1VyEvKbNSq795lBd/tiyAz5bUBWkaWN6ybgXFL6Bb2xWN/051aNOpPwAk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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109d95950>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 3)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### subplot2grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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OgvniXOm+btayk3QIcBvwUeBl4JqIuLdJu4XAl4BjSX703AN8NSLe6Uqg1hVV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\nVFFDtsOfpQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a33e490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n",
    "ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n",
    "ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n",
    "ax4 = plt.subplot2grid((3,3), (2,0))\n",
    "ax5 = plt.subplot2grid((3,3), (2,1))\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### gridspec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib.gridspec as gridspec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QsAVplNz745r77M7ZzcB/DNnn+cCnU8/3CnK+Sfuve8j2X0ntu6oO5uHA74AP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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a2ce5d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "\n",
    "gs = gridspec.GridSpec(2, 3, height_ratios=[2,1], width_ratios=[1,2,1])\n",
    "for g in gs:\n",
    "    ax = fig.add_subplot(g)\n",
    "    \n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### add_axes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Manually adding axes with `add_axes` is useful for adding insets to figures:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RAG4DWFLsGZnKVKsGdOgAHDsmdyTy04bquofJD/HX9b/kDoOxUiUmAsPfS4Z+51VY0f8z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\ncDbyLHwn+MJQ31A1J9ViOtX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mXr2A4cPFCqCcnORFBAQGAnv2iM3QUCSg0aPVO7dhriIX\nfvf8cPjmYRy6eQgSJIxwGYERLiPgZucGiddHqZI4ITGNEhcnktPu3aK3noeHeGp6+21e1bay5OQA\n58+L/4eDB0UnlBEjxIcEV1f1dVCITo3GydsnceL2CXhFeMGxmiMGNRmEgU0GchLSEZyQmMaKjxft\nE4cOASdPiq7jffuKzd1d/Yuz6ZLoaDFjwrFjYtyQk5P4IDB4MNC0qXqSUEpWCnzv+eLs3bM4c/cM\n7iTcwZuvv4k+DfugT6M+qGddT/UXZRqNExLTCllZwLlzYmyTl5dIVj17iq7FPXqI9gxWdmlpYhHG\nM2fEdveu+H326ydm3lBHD7lHKY9w4f4F+N/zh/99f4Q+DUWbOm3Qo34PdG/QHe3qtONu2jqOExLT\nSnfvPn8z9fYGzM3FeJcuXYDOnYHGjXkZ9hclJor2OV9fUR3377/iKbNnT7G1aSPah1TladpTXHty\nDYGPAnHl0RVceXQF6Tnp6FivIzrV64SO9TqibZ22MDHgQWnsOY1ISJIkVQewCUAvALEAFhDRzhLK\nzgHwCQAzAHsBTCOi7JfKcELSIURiNVFfX7H5+QHp6UDbtmJr1068+epKG1RmJnD9uuiMcOkSEBAA\n3L8vfhf5Sbt9e5HElZWclYwbsTcQ+jQUoU9D8V/Mfwh+EoyM3Ay42rmitUNrtKnTBm1qt8HrNq9z\nOxB7JU1JSPnJZxKAVgCOAuhIRKEvlesNYAuA7gAeAzgA4BIRLXipHCckHffwoZg7LSBA/PvPP2Lp\n65YtATc30R7VrJlYHlvd09moCxFw7x4QEiK269fFzxkRIdqA3nhDJON27YDmzQGDCqzCnafIw5PU\nJ4hKikJkYiQiEyMRER+B8PhwRMRHIDkrGc41ndGsVjM0rdkUzW2bw83ODa9Zv8bJh5Wb7AlJkiRz\nAPEAXIgo4tm+LQAeFZNodgC4Q0SLn73uDmAHETm8VI4TEisk/8372jUgOFg8UYWEiDdve3uxKmn+\n5ugoFiN0dBQDduXsPJGWJuKOihJbZCQQHi62iAgxea2Ly/OtVSvx76umZ8pT5CEpKwmx6bEFW0xa\nDJ6kPkF0ajSepD3Bw+SHeJjyEI9THqO6aXXUr1Yf9avVh6O1IxpVb4RG1RvBqYYTalvWhp7EvUuY\namhCQmoFwI+IzF/Y938APIho4EtlrwH4ioj2PHtdA8BTADWIKOGFcpyQWJnk5ua/yRNuReTh1u1s\n3HuQi/sPxZacmoeatfJQy1aBWrZ5qFZdAWtrgpW1AlZWBHNzwNSMYGYOGBsTDA1EW4yBgWjDyr8N\n8xSE7GzRpTo7m5CZCaSlE9LSgLQ0QmISISFRgcQkBRISFYiNy0NsfB7yFArUssuFrb3YatrlwNY+\nG7Xsc1C9Vjb0DLOQmZuJzNxMZORmID0nHWnZaUjPSUdqTipSslKQnJWMlOwUJGUmISEzAWnZabA0\ntkRNs5oFWy2zWrC3sIe9hT3szO1Qx6oO6lrVRW3L2jDSN5L1/4jpDmUTUgUqAYqwAJD80r4UAJYl\nlE164XX+cZYAEl4suHTp0oKvPTw84OHhoWSYTJMoSIHEzETEpsciLj0OcRlxSMxMLNiSMpOQkp2C\nlOwUpGanFrxJp+WIf7Nyn7+RZ+VlIScvB3qSHgxrGcLQzhAGbQxgoGeAGpIeiPQRo9BHtEIPijw9\nkEIPijwJilgJihgJpAAUCglEAFH+v89jzf/rkiQJkiQSlZ6eBD09QP/ZvwZGejCsrQeDehIMDfVQ\nzUgf9kb6MDTQg6G+IQz0DAA9AyTqGSBd3wiPsoxg+NgQJvomMDF4vlkbW6O2ZW2YGZrB3NAcVsZW\nsDK2gqWxJaqZVEM1k2qwMrbipxqmEXx8fODj46Oy86nrCWkugK4lPCF9SUR7n72uCSAG/IRUpSRl\nJiEqKQpRiVF4kPwAD1NE9dGjlEeITo1GdFo0YtNjYWFkgZpmNVHDtAZqmNWAjYkNqplUg7WxNaxN\nrGFpZAlLY0tYGlnCwsgCpoamMDM0g6mBKUwNTWFiYAJjfWMY6RvBSN8I+npqnISNMVYqTXhCugXA\nQJKkRvltSADcAFwvpmwIgJYQvevyy0W/mIyYdkjMTETY0zDciL2BiPgIRCREICI+AncS7iAnLweO\n1RzhaO2IulZ1UceyDjrV64TalrULqpRqmdfiqiTGWCGq7GVHACYDcAfwN4AORBT2UrneAP4A0APA\nE4hedheIaOFL5fgJSUNk52UjJCYE/0b/K7aYfxESE4LkrGQ0rdUUzjWd4VTdqaCh/HWb11HDtAb3\n0GJMB8neqeFZEDYANuP5OKT5RPSXJEmvQTwVNSWiB8/KzgEwD4ApxJPSVCLKeel8nJBkoCAFbsXd\nwoX7F3Dl4RUEPg5ESEwIGtg0gJudG1ztXOFq54rmts1R16out2MwxgrRiISkapyQKkdOXg6CHgfB\nJ2BYBN8AAAzcSURBVNIHvvd8cfHBRVgbW6NDvQ5oW7stWtdujZb2LXmdGsZYmXBCYmVGRAh9GooT\nt0/g1J1T8L/njwY2DeDh6IGujl3RsV5HOFiqeZlQxliVxQmJvVJ6TjpO3zmNwzcPwyvCCwZ6Bujd\nsDfeavgWPOp7oIZZDblDZIxVEZyQWBHxGfE4dOMQDtw4AJ9IH7Su3RoDGg9A/8b94VTdiTscMMbU\nghMSAyDG/uwL24c9oXtw4f4FvNngTQxrNgx9G/WFjamN3OExxnQAJyQdlpOXA68IL2z9dytO3D6B\nHg16YJTLKPRv3B8WRrx2OGOscnFC0kG34m5hY9BG/Bn8JxpVb4QxrmMw3GU4qptWlzs0xpgO04SZ\nGlglyMnLwYEbB/DrlV9xI/YGxrmNw7nx59CkZhO5Q2OMMZXghKTholOjsf7qeqy9uhZO1Z0wo80M\nDHIexNPuMMaqHE5IGupG7A38cOEH7Avbh+HNhsNrtBda2LWQOyzGGFMbTkgaJuBBAL72+xoX71/E\n9DbTcWvmLdQ0qyl3WIwxpnbcqUFD+N/zx+fnP0fY0zDM6zQPE1pNgJmhmdxhMcZYmXEvOy136cEl\nLPZejNsJt7Gw80KMazmO24cYY1qJe9lpqesx17HYezGuPr6Kz7p+hvEtx8NQ31DusBhjTDackCrZ\no5RHWOS9CMfCj2Fep3n4a9hfMDEwkTssxhiTHSekSpKek47vL3yPnwJ+wvvu7yN8ZjisjK3kDosx\nxjQGJyQ1IyLsCd2DuSfnokO9DgicEogGNg3kDosxxjQOJyQ1uhF7AzOOzUBMWgy2v7MdXRy7yB0S\nY4xpLF6DWg0ycjKw8MxCdPm9CwY0HoCgD4I4GTHGWCn4CUnFzkWew5QjU9DKoRX+nfovr8DKGGNl\nxAlJRZIyk/DxqY9xPOI4fu33KwY2GSh3SIwxplW4yk4Fztw5A9e1rpAg4fq065yMGGOsAvgJSQnp\nOemYf3o+Dtw4gI0DNqJ3o95yh8QYY1qLn5AqKOhxEFqta4X4jHj8O/VfTkaMMaYkfkIqJwUp8OOl\nH/GN3zdY3Xc1RjYfKXdIjDFWJXBCKoeYtBiMOzgOiZmJCJgcwANcGWNMhbjKrox8o3zhvs4drexb\n4fz485yMGGNMxfgJqRREhJUXV2LFhRX4Y9Af6OvUV+6QGGOsSuKE9ArJWcmYcGgC7iXdw+XJl+FY\nzVHukBhjrMriKrsShMeFo/3G9qhpWhN+E/w4GTHGmJpxQirGydsn0fn3zpjVbhbWDVgHYwNjuUNi\njLEqj6vsXkBE+PHSj1hxYQX2DN+Dro5d5Q6JMcZ0BiekZ3IVuZh5bCb87/vj0qRLXEXHGGOVjBMS\nROeFkXtHgojgN9GPV3JljDEZ6Hwb0oPkB+jyexc4WjviiOcRTkaMMSYTnU5IYU/D0GlzJ4xuMRpr\n+q+Bob6h3CExxpjO0tkqu0sPLmHwX4PxXa/vMMZtjNzhMMaYztPJhHQs/BjGHxyPLYO38MwLjDGm\nIXQuIe26vgsfeX2Ew56H0b5ue7nDYYwx9oxOJaTN/2zGp2c/xakxp9DCroXc4TDGGHuBziSkXy7/\nghX+K3B23Fk0rtFY7nAYY4y9RCcS0gr/FVh3dR3OTziP+tXqyx0OY4yxYlT5hLTCfwU2BG3A+fHn\nUceqjtzhMMYYK0GVHof0/YXvsSFoA86OO8vJiDHGNFyVfUJaeXEl1gauhc94H9S1qit3OIwxxkpR\nJRPSL5d/wa9XfoXPOE5GjDGmLapcQvrj2h9Y4b8C5yecRz3renKHwxhjrIyqVELaG7oXC88shPc4\nb+5NxxhjWqbKJKTj4ccx/dh0nHzvJJxrOssdDmOMsXKqEgnp4v2LGHtwLA6POgw3eze5w2GMMVYB\nWt/tO+xpGIbsGoI/B/+JDvU6yB0OY4yxCtLqhPQg+QH6bO+DFb1W8KzdjDGm5bQ2ISVkJKDv9r6Y\n3mY6xrqNlTscxhhjStLahHTo5iH0bNATH3f8WO5QGGOMqYBERHLHUIQkSVSWuIgIkiRVQkSMMcZK\nI0kSiKjCb8pa+4QEgJMRY4xVIVqdkBhjjFUdnJAYY4xpBE5IjDHGNILSCUmSpOqSJB2QJClVkqRI\nSZI8X1F2vCRJeZIkpbywdVU2BsYYY9pPFVMH/QogE4AtgFYAjkqSFExEoSWU9yciTkKMMcYKUeoJ\nSZIkcwDvAPiUiNKJyB/AIQBjXnWYMtdkjDFWNSlbZdcYQC4RRbywLxiASwnlCUArSZKeSpJ0U5Kk\nxZIk6SsZA2OMsSpA2So7CwDJL+1LAWBZQvnzAFyIKEqSpOYAdgHIBfCNknEwxhjTcq9MSJIk+QAo\nqb3HD8As/H97dxcqRRnHcfz78600X7JAKUQkTNSKIoUSpU4GpZCVVxURghchYaAXFUWFWChC115E\nImYkXpQVWXShHvNO7EJRojSyrMwiU9Ne1aeLGWXczjl7ZnZenmO/Dwzuzs7s+e0zzzP/nZ3dEUa3\nzB9DUpT+I4Twdeb2fkkrgWfooSCtWLHi4u2uri66urr6impmZjXr7u6mu7u7tOfr6NJB6Tmk4yRH\nPYfSeRuBIyGEF/qx/iPAsyGEGS3z+3XpIDMzi0ejlw4KIZwB3gVWShohaQ6wANjY0/KS5ksan96e\nCrwIvNdJBjMzuzyU8cPYp4DhwE/AW8CSEMLnAJImpr81mpAuOxfYK+k0sBV4B1hVQgYzMxvgBvTV\nvs3MLB7/66t9m5nZ5cMFyczMouCCZGZmUXBBMjOzKLggmZlZFFyQCirz18lViT1j7PnAGcvijOUY\nCBk74YJU0EDoGLFnjD0fOGNZnLEcAyFjJ1yQzMwsCi5IZmYWhWiv1NB0BjMzy6+TKzVEWZDMzOz/\nxx/ZmZlZFFyQzMwsCi5IZmYWhcYLkqRrJG2RdFrSYUmPtVn+JUlHJJ2QtEPS9Agz3iDpQ0mnJP0s\naU1sGTPrbZN0XlLlfSFPRkmLJO2RdDLd3mskDY4g13JJR9Nc6yQNqyJT0Yx1tluRfC3r1Nb38mZs\nYgwXyNjEvnBp2r/+lLS+zbL5x0oIodEJ2JROI4DZwAlgei/LPgh8D0wiKaargM8iyzgM+ApYRvIf\nFw4DbokpY2adx4GdwDlgUEwZgSXpMkOA64E9wHNN5gLuB34EpgFXAzuA1VW3W86MtbVbJ/2v7r6X\nsw0bGcM5Mza1L1wIPASsBdb3sVyhsVJ5A7d5cVcBfwGTM/M29BYceB7YnLl/E/BHZBmfBHbG3I7p\n42OAL4A7gPNV7xSKZGxZfznwQZO5gLeBVzP37wGOxrh9q263TvLV3fcKbOfax3CBjLXvC1v+/itt\nClKhsdL0R3ZTgLMhhEOZeXtJGrcn24BZkm6UNBRYBHwcWcY7gW8kfZQe6u+QdHNkGSF5R7UWOFZl\nsIwiGbPuBvaXnipfrunpYxfsA8ZLGltBrqxO2q6qdsvKm6/uvgf5MjYxhvNmbGJfmNXut0aFxsqQ\nTlN1aCRwqmXeb8ConhYOIeyWtIHk3dU54Fvg3koT5swITAC6gAUknWYZ8L6kqSGEf2LIKGkmMAt4\nGphYUaZWedvxIkmLgduBxQ3nGgmczNy/sN4o4Nfyo13yd3O3XcXtltXvfA31PcjXhk2M4VwZG9oX\nXhKhzeOFxkqlR0iSutOTlj1Nn5I09uiW1cak83t6vqUkjT4BuAJYCWyXNDyWjMDvwK4QwichhLMh\nhNeAa4GpMWRMTyCvBZaFEM5nHyqar+yMLc/7MMk76vkhhOOdZOzF6Ry5Wpcdk/7b52soQZ6MQC3t\nltWvfFX1vX7K04alj+GyM1axL8yp3TYrNFYqLUghhK4QwqBepruAg8AQSZMzq91K7x8xzAM2hRB+\nCCGcDyFsAMaSnDiLJeO+7B1JHQ+2kjOOBmYAmyUdBXan87+TNDuSjABImge8DjwQQjhQNFsbX+bI\ndQC4rWW5YyGEKo+OIF/GutqtSL5K+l7JGaGCMdxPeTKWvi/Mqd0RUrGxUtdJsD5Ofm0iOQE2AphD\n8q2Sab0suwrYBYwjKaZPkL7zjijjFOAMybuXwSQnlQ8CQyLKOC4zzSQ5sXwdMDSijHOBX4A5sfRB\nkm8OHSUZ9GOBbmBV1flyZqyt3Qrma6Tv5czYyBjOmbGpfeFg4EpgNfAmydHZ4B6WKzRWauuwfbzA\nscAWkkO8w8Cjmccmpo08Ib0/AniD5OuEJ0m+0npfTBnTeQvTDnwS2N7bTrfJjJnHJlHf177zbOvt\nwN/pvAvT1jpz9bJtl2f63zpq2JHmyVhnuxVtwyb6XoHtXPsYzrmdm9oXriB5E5GdXi5rrPjiqmZm\nFoWmv/ZtZmYGuCCZmVkkXJDMzCwKLkhmZhYFFyQzM4uCC5KZmUXBBcnMzKLggmRmZlH4F2QZxbCg\n9KcNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b619090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(xx, xx**2, xx, xx**3)\n",
    "fig.tight_layout()\n",
    "\n",
    "# inset\n",
    "inset_ax = fig.add_axes([0.2, 0.55, 0.35, 0.35]) # X, Y, width, height\n",
    "\n",
    "inset_ax.plot(xx, xx**2, xx, xx**3)\n",
    "inset_ax.set_title('zoom near origin')\n",
    "\n",
    "# set axis range\n",
    "inset_ax.set_xlim(-.2, .2)\n",
    "inset_ax.set_ylim(-.005, .01)\n",
    "\n",
    "# set axis tick locations\n",
    "inset_ax.set_yticks([0, 0.005, 0.01])\n",
    "inset_ax.set_xticks([-0.1,0,.1]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Colormap and contour figures"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Colormaps and contour figures are useful for plotting functions of two variables. In most of these functions we will use a colormap to encode one dimension of the data. There are a number of predefined colormaps. It is relatively straightforward to define custom colormaps. For a list of pre-defined colormaps, see: http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "alpha = 0.7\n",
    "phi_ext = 2 * np.pi * 0.5\n",
    "\n",
    "def flux_qubit_potential(phi_m, phi_p):\n",
    "    return 2 + alpha - 2 * np.cos(phi_p) * np.cos(phi_m) - alpha * np.cos(phi_ext - 2*phi_p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "phi_m = np.linspace(0, 2*np.pi, 100)\n",
    "phi_p = np.linspace(0, 2*np.pi, 100)\n",
    "X,Y = np.meshgrid(phi_p, phi_m)\n",
    "Z = flux_qubit_potential(X, Y).T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### pcolor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UW3HVmYzG1EdT4r16/4imQixXOENcNuKpEhvseHo8W3Zw4OmTNq2SyDSa4X4jOG463omd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\nCvD/A0jSkWfiU/75AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b55f9d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "p = ax.pcolor(X/(2*np.pi), Y/(2*np.pi), Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n",
    "cb = fig.colorbar(p, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### imshow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XVuWfszlK4phmqcI3HkxnbH6e2lY3dPBewactVyADALQHh1kfc1CBC7PFE2nC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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b29ac50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "im = ax.imshow(Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n",
    "im.set_interpolation('bilinear')\n",
    "\n",
    "cb = fig.colorbar(im, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### contour"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xoZckKQQkgPlCiCNn/vZdoFsI8enzjv00sEQIcf+Z3+cD24QQgfOOG7GoG2Ea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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b545210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "cnt = ax.contour(Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3D figures"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To use 3D graphics in matplotlib, we first need to create an instance of the `Axes3D` class. 3D axes can be added to a matplotlib figure canvas in exactly the same way as 2D axes; or, more conveniently, by passing a `projection='3d'` keyword argument to the `add_axes` or `add_subplot` methods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from mpl_toolkits.mplot3d.axes3d import Axes3D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Surface plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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i5ptvxs033xz4HbfN7cEzAz0knA0QRTEQQc/lcg2bd4tFCx/84Cv4/Of3Y8eO\nIrZtK+CLXzyMW2/dhe3bx/zHRRliknkrl8vIZDKxOtKdGnFKQRaLRei6jmw225MBM1NBVOkMOWTk\nPLUbPbnzTgmm6eL4cRkLF1p4/fX6iPqmTS7e+14ZBw6MRx7j1VdLWLw46X//6KNvd3iFjWkUlQmr\n8JCiA807oOhZWIWn1eP3kn4+R/iaSqUS0ul007+74447sGDBAlx33XV4+umnIx8jCAK2bt2KBQsW\nYOXKlbj33nvrJGY5nHagfikAvvoKbdrj7DLrCACe5KVrOnhm6TWRzxFWIeoWcgQoOzndsKUn6XTa\nV7KhNUHXdV/OOY6jf/i7kLXWYqrkHEwlrH1PpVL+zB/qJQyr9Qwbuq7Hvje5bW4P7gz0AMoGUDMr\nGWKS2VQUBdlsNlC7SY8hQ+O6Lj71qaMAklCUoCF/4okx3HXXG/j5z49GPr9pmpiYmPAlQ/uhgkKO\nTj9lSaeKbp0D1wV+/nNpsg5VwEUXVRC3XlQqVaxcGd2I6jjA8uUj/vc7dhSwb1+xNxfZIWy6OZFI\n1DkHhmEMhJxpv6DPZblcbuoM3HfffTh48CCOHTuGW2+9FTfffDMOHDhQ97gbbrgBu3btwqlTp/Do\no4/i4Ycfxv3339+X8+fMbGitIVssCIL/mcxkMoFNNhv4eXJ0DQRFqJuOKygiHMutcwjomL2QDgXg\nTwHv1fH6AVuDn0qlIMty002zY9lQkt56q6QU/4uFIv/kNGhZ1S8VSo56waADv3dTvy8PQLxsabhk\nit3HdEuv1wc2+FSpVCKdAW6b24c7A13CyrfRRoqi9GT8Womgf/e7p/HjH4/juedMrF59HlKpYE3h\nL34xjv/233ZjyZLHsH9/3n/ucrnc1wZeVpa0m5rRqOMOCq04B7ru1fNbloXvflfAxIQIyyKDVI09\n9tGjY7BtDZIUfc/27w/+7U9/2p/sQKeEnQOadUANeTQ8j5zFfjkH/c4+hI+v63pTZ2DdunX+gvrR\nj34U69evx+OPP173uOXLl2PZsmUAgNWrV+Puu+/GI4880tsL4Mx4yBGgtQaAn7XL5XINg0CiLPhD\nsOhfKSn53wuKgF2//l6/AZWO2e3wS1o/HMdBMpkcmiBSI61/sndv3/p7AACrYkGUg+t1uPRHYrIH\n4cdOF7TuUdCHHEkKgtFXr+x5P+y3rut+QzELt83tw52BDiEngKTWKErTzgAxitycOGHinntqm8Ct\nWyu45JLqq11FAAAgAElEQVRFAbUZ1wXOnlUxPm5j7doN2Llzwm9GbtbAG/WcrcCWOGma1pGCBD0f\nawgGvbSokXNgmiYeekiA43gGXVEc7N5tRR5n6VLg4MEC9u+v4l3vmhf5mOPHq1i1yssOXHppGr/4\nxaHeX1CPCTsHVPoWNQhtOpvWuqHVMqFOGcZ7wpk+2MFcrGKQZVmx0qH0maSov6CIEBTPhpMjAHjl\nQlJShF1x/MBWMznSVmw4e87NpucOMuymmVVn65ZEbvpLpQi2ZIqCPSQywZZMDUI5EbufiHMGuj3+\nbGQ4P53TDCsZWi6XA9mAZjX7Udx33wlMTAQ/ZNu2VXDddecFfnbqlIl1685HtQr87u9uhutKAcnQ\nXlKtVmNLnDph0B2ARpChBICJiSRee61mxC+5REdEnx4AYMmSWmPZ/v02NC36dRoZSWL+fAWnT5/F\n5s2ncfhwb0uFpkLNSRTFSKnXTnsywkx1ZoA+x3FMTExgw4YNMAwDlmXhhz/8IZ599ll84AMfqHvs\nE088gRMnvCbyPXv24N5778WHP/zh3l8EZ0ZCn6NyuQzHcQKKQa3KfMo52S8RknOynx1QshLUuV7A\nSpQF7HnP+5HL5bpeU2g9pDkH7Xx2B3mtoLVAFEWY5VpWV8uoUJKKXzIEIPA9/ZuamwocT1JECKKI\nxEj3G9pe2nm6Tlaa1bbtjmRL+2m7DcOocwa4be4M7gy0CTVu2bbtG0zTNH3j3E7NviAIOHasir//\n+zORv9+0qYqVK3OBn738chlz5qgoFFzccsumvpQF0eatl03Cw+5t0/l/+csyqtXax2Z0NDorAAAT\nE7XG4ZMnLaxdOzfycXv2GFi6VMDp056ixeOPv9WLUw4wlQtsPxq2p5pyuezPHojCNE3cddddWLhw\nIRYsWIAHHngAP/vZz7BixQocOXIE2WwWR496PT5PPfUU1qxZg0wmg5tuugm33HIL7rzzzqm6FM4Q\nQwPxKPtM+vwkIdnsc7316l8P9Amw/1fnyhAUAa5Z+/yJkoDXbnpv1+fcq2Fig0rpLz4GORHc6BPs\n92xJkKTWqgSSoyn/d4kRr+b92Mf/Y9fn1Wv5TjommwkeJNlSwzDqega4be6M4SjgGwDCEx5FUfQl\nu4rFYmDD0w7/63+dgWFEf4hsG9C0LIA8RBFYt07DiRNnsXRpEi+9NIGNG2384hdv4X3va31ybaMy\nIcuyUCwWIctyXyYJDzuOI+DnPw9+ZE6dipaVy2SAPXuCKkL791sQRa9xmGXJEhXV6oT//RNPvIU/\n+ZOVvTnpASBK6pU+OzQhlKRe2X+JqVhkotSEGmUG5s+fj82bN0f+bunSpYHprPfff/+sbUrjdA45\nAux6Q43trajxsPZbSoqw9ZrhEZR6266kFYiSAGOi0tL5RZWAUmkpqZN1uoYMYoCAxap4QSA5ocCu\nBgNCkiJCUkRfcjTsLMjaYPQMdMIgyJay77mozAC3zZ3BMwMtQEY5PECsWPTKOdqp2WepVl08/HC0\n7CSxfXsF73znXFx5pY0XXjiAgwfH8cILpyBJFoBxfPrTGzu5pADU5EXSdFHzCboZ/MI2WVOaexj5\n5jc1nD5d+8jkcjb27YuuoVy50oFlBa/zxAkbV101UvdYwyggk6kt7hs3nsLERHxT8qDRbho4LGfK\n9h1YlhU7CK3fzmm4TKifPQMcTiNInY7WG8pGJxKJtmQ55Yzkb/ylpOh/qXNqQQ1tVIGaqX2vJCTs\n+q3/q6NzLhQKfkNquE+sHbvPDlMbxPVCSXrrvV21IKky5IQCNa2GHqNE/p+lF+VB00Uz2VK2nKhf\ntrsfPQOzFe4MNIDtDQDgRytp40wDtzqtr3ziCROlUgrr189p+Lhs1sG2bcf97ysVB6tXLwAAHDly\nGp///AttPS9rXCmly85B6DWGYfhGgRqRSBVjEBqSWuXHP04CqBm1Sy6p1EX5CU2LniZsWcEF48or\nk3j99XEcOmT4PzNNB888Ez2obCYS5RwkEgmIogjLsnwlJ9Y56KdcHcCdAc70QGtOWDFI13UoitLW\nWvPq+hsBAAqjTCcxfUtSqIfJtR04k5PS7Up8+WMU7JyDbmcSsApE/VK26YbiXbfCnTT8Siq4XoYd\nAqDmCKhpFZIqQ8vW7o8oS5AUKTC9eFgJKzBR5oDK3Lqd9EyEMwO9mIHB4c5ALOEBYjThMZ/PwzRN\njIyMQNO0rt7YP/qRgbNnHWzcaOP666Pryd/1LhlPPXUE11xzTuDnu3YVoarey/ftb+/AU09FzyAI\nw254SPmoV03CYWhRE0XRj/6mUikoiuLfT13XI6PAg8bjj4sYGwt+XDStkaRodMZn+3YDF1xQq0UX\nBM8JOH68gosuyvo//7d/e7Nn92SqhoL1irBzQJGfqEFo/YoecmeAM9WQI0BrDuCVq1GgppumXm1E\n9Tf/SkqCOCl1rI3Ub15t04GoSHj9d97f0rGr1SqKxWLdnINOoEno7JwT6sGjfiOyi50KEfQbchBE\nWWqYHRDl4OuZHE1j7HP/ueNr6yXdrhmsAhMFTQH4oivU3NvtdRqG0bC3i9M63BkIwWYDHMfxDbBh\nGMjn89A0rU7BoZM39IkTFp55plZv/uyzZl2GIJcT8cYbbwIAKpVgrXo+b+Hqq88FAJTLJm677Vew\n7dY2jWyTcCaT6fkkYXb+AdUWss1ItNmLGmo1qM7BffcpKJVqztLatTYsy0YuJ+CSS0SsXy+B3hKL\nFgFHjpRij3X++d4mc9kyDa++etr/+aJFtRr1p58+7UfG48pmBoV+Oxv0nokahEazDrodhMYzA5zp\nhC2LoZKaQqEA13UDjkA772s5IUNNK4Hv2X/pd4LkHTsxJwEtqyIxokHWJDhW40ms7MCzbDbbteQm\nCXFIkuQHjOh5JEmKnaA71TbRLHkBHDUd7/iEMwZhZE0OlAglR2u2Jlxm0+q1DXLQRxAEPxhIk557\nIVvKMwO9gzsDDOFsADVtFQoFVCoV5HK5gJfbzQfvpz8tITz1essWGxdeWIvUrFkDnD7tlUjs3JnH\n5ZcHsweFQm1hOHq0gP/yX55p+rx0ja7rtq181MpCRNkTmn8QFc1ijxU38XaQNsITE8DevRJcV4Ao\nuli3zsLevS5eeslFPi9g715g40YXl10mIZcDLrig8SK6f7+Xgj///OC9OXOmlpo/cqSEw4eNurKZ\nOIdpuiNJU0mzQWjhWQedOAf9njPA4RBxikGyLAf6tzpdb2jzHwVlCBJzahsq26zZ2AO//x8i/45E\nAKrVakvDyZqtH5RdSKfTDTPU4VKUKMnLfq8RpCJEkX01rflfrQwUY1WFogiX2ZC971WZzXTAvndp\n0nOnsqXhOQM8M9AbuDOAmlIQa5ABL6VFZTTNBru0yyOP1GvJGwagqt4GZHRUwtathwO/nzMnqG7y\n2msTWLLEkx61LBcPPfQajh+PjkhTHaZhGJAkKbJJuFsqlYqfPel0/gFt9OLqx6fDOfjiF2V4PpOL\nSy6xsXmzhBUrzLp+gV27XCxZIkEU47MCAHD8uIU1a0awZ8/pwM/37i1ghEnbP/mk1yfCls3EZVMo\n9ToTnYNWIl5hh5KddcA6B3EyeOHvW5lAzOF0CzkCruv6Ni6fz0c24QKtZwZ2vO9GqGlv0ykpIpSE\nt3Yl59Qi1tLkALLwtFwAcB0Xkir7qjnhcyiVPBvXbPPeCvT5zGazvhBHK9cZJXlJm+eoTWUv1ruJ\nOz/mHWtybZO14Mae7RlQ07XZA/Tz9IKgVDgAJOflIEjBvoHwdGCKfpOcZ6/KbKab8GtIpdetXmel\nUuGZgR4x650BVumGNqJk7HRd76nWPnH6tI1Nm4zI3+3ZY+Haa0ewerWAYjEoW7ltWx7ZbDCSf8EF\ntWyBrju47ban6o7JNgnTJrKX0IAZul/h7Ek3BqtZc2nYOegHjz0mwTQFyLKFPXu8e5dKRT/Xrl0u\nEonmSkBz56o4cyb4HnAcYOXKWqlYXBNxXDalkXPQTwYxPR016yBcexzWyGavwXGcnn9OOBwWVjFI\nFMVAdDxqg9PuZ0wQRSip6Mxvcm4y9Nj6YzuWXbfZZcuXRFHs+nNvGAZ0XW8pu9CI8OY5vKmkQF+v\nNs+NyoDUtOo7WnFoOS+aHe4biIKdDpxOp/3MOdkxKrPppWMwHTY9PAU57jrZgG2UtCinM2atM0DZ\ngImJCRiG4dclU1MtDRDrNv0ZxRNPlGJVaADgzTcFHDr0dt3Py2UbV165MPCz118vMN+JePzxN3Ds\nWO1ndD2yLPtNwp0YjbjrpHsIoKX71S3NnAMAPR2EsmcPMDYmQtddWFZtczg2Fq22cc45wFNPGbj6\n6sapS8syIUn1xpbdgD733Ek4TmsRskbOATUlDmvmoBcLU6NBaKy61datW/HP//zPvtQph9NrKAA1\nNjbm/4wceDY6Hve37UIOAWUH2I1qcjThlwoBQCKnIZHToGUTfk37W398CwD45Uu9yCxTX5lhGD0X\nrwhvKik4Rc3J3UTV5URIPjSdgJLSoKSjo9ONnAZJrXfUEqMZ6F/+VMNzoMw59VDIsuyvfSSqMEh9\nZZ3Yb7ZCgOw1XSfNNXj44Yd5z0APmZXOACvfxm6M2KbaVqY7dsrPf964jOS88wQsWxY98OjMmeCH\n/ORJA6tXsw6CiD/5k6fqmoSjUs7dQFGXRrMJWPp1L8POAQB/I0cNSt04B3/1VwqyWQeAC5IVVRQH\nb7wRbWyXLfN+fvy4iEQi+poTCQFbt57C6tWjdb97442y///x8Sp27Bire0wzws6Boij+MJiozMGw\n1qF2A+sckOMkyzLOnDmDBx98EJs2bcIVV1yB2267Df/0T/9U9/c33ngjkskkstksstksLrvsstjn\n+sY3voFzzz0XIyMj+NjHPoZqdXhmSHB6C609tDEF4Je0NIuOd2tDpVCUX1SCG/BErrZxJelMOaHA\nqlh+L5iiKB2vJWRjaG0ilaQ4R6AXNoldH8gOstHmdpSJ9K/+qZctSXr3if4lWIeAdQKUlAY5oQYc\nCVHxXgttJH6wYSuwPRQA/L4pqr8f5j4DFionIlstiiJefvll/Mu//As+9KEP4bOf/SxeeeUVAMNj\nmwVBcFv5mqrzmXXOgG3b/geENk22bWNiYsJXbmhHFaGdzIBXTqPj3/89WoO+9rg8Dh6Mjhzv2VPE\nBRdkAz/L5dg0mYRf/vIg9u073tH1tILjOCgWi35TdT9mE3RD3ECrTpyDZ5+V4DkCtQXrootMGNFV\nXpBlbybF2287WLs2G/mY1as1FIs20hFqFCdPVrBsWe3vnn32ZOOLbYGwGg+lmsk5oFR6pw23g1gm\n1AmSJOG9730vfvrTn+Kaa67Bgw8+iBUrVmDjxvrBfoIg4IEHHkChUEChUMDu3bsjj7lhwwbcd999\neOqpp3D48GEcOHAA99xzT78vhTOAhBWDAKBYLMJxnK6lQ9nn2POh3/S/pywAZQckTYaaUVuagutY\ntYDH2B1/FNvH0Ar0N1RSGlZJinpsPxAEIXZIVrfKRIIoBByEcFaAmouT8+r7BgBAG41eL9ohXH8P\nIFAqNRP6DADvOr/2ta/h+uuvx9/+7d8il8th586dAIbLNv9/yZUNv6aS/tZ0DBBUFsQqBbG6zplM\npqMpwq06A7SBfuEFE/l8/ONHR0Vs3XoCtu3i135tIZ5/vr5ufMmSOTh0qFYKtGvXBCRJnJQWFeA4\nLv7yL1/Eo49+qKeThAH4G2pVVVtOFU+18WE3pxQZougTqWBQ+YxhGBBF0X+MJEn+327eLGB8XIDr\nBhesefPiexNOnqxF9nfssJHLicjng4uLLHt/v39/tEexeHEahw97r+8zz5zApz99aTuX3xKiKPpR\nJQD+PaH74rpu4J70oj64U6arfnXt2rVYu3Zt7GNaeV//wz/8Az7+8Y/70am7774bv//7v4+vfOUr\nPTtXzuDDqriRYhAAfwZLK+/vZrabSm8AT9NeEMWG8qCJnAarYkEQBSSzCbiOA3eyLNF1XAii1zeg\nJBVUJkqYHyrHaHctoX6Ddq65n7A20HVdP1tTqVQgiiJkWfYzCcBkNjGlwalaECTRv1d1x53c9Eua\nCkuvQNIU2JX4NYMeLwgCXFFEwxriFmHXPWqspvIax3H8TLEsy5GvQy9tbj/tt2EYWLduHT7wgQ/U\nPWczBsE2S8kmTnnjuHFPmRWZAXaSIUVJSbXBdV2oqtqRI9Aq7HCvLVsafyguvxywJ6dAnjkT/Zg3\n3wymsiYmTFx55QLmJzJ++csjMIz2pkg2w7ZtFItFP6rS6gI2SET1HMRlDr71LRGaZtc5A6YZvcBm\ns8Abb9RKwCYmXFxxRTANLEnAnj1nAQAnT1Zx6aUjdcdhM5WbNp1qeX5EHO2q8YSlOnuh4z/ohKdy\ntxKlveOOO7BgwQJcd911ePrppyMf89prr2HNmjX+91deeSVOnDgRqBfnzGzCikFUciMIQkBsoRso\n4m5P6lULEe9fGnrFNgWHG4RZqGfANp2mcpitnF+lUoEkSQPhCIRhG5CjlIkqlYr/OELNRPcLUAkQ\nUCslkjQFkhbM0KvZpN9ArI30T7mMXfMGZVZDN7C2Om7o2LDYZikpNvyaSma0M8AOEAPgL/C6rqNQ\nKCCRSHRd4tIoOkIGmhrDkskkNmyw8I53pLBoUbRHWChM+P/fu7eMSy+dU/eYQ4fKuPji4CZSZYy1\nLMswTRv33LOpk0uqgzSAaTZBt45Tt9mJZsdu9/FxzsFzz0mIKuE9ejTaGbjwQhfhy9q714aq1s7p\n0ks1jI/Xdvvz5tUbsv37aw5FPm9i587oacb9pB3nYKaoFdFzlEqlpgoV9913Hw4ePIhjx47h1ltv\nxc0334wDBw7UPa5YLGJkpPZZzeW8EoFCoVD3WM7MI0oxqFAo+Bvidt7XcXaTGnsFQUA2Gyw1IQeA\nNvNahqlbn4xIs8OvACA5mkJy1LNLbCPx6T//aMvnykIRaRocNojZZJYoZSLh23cGzknJBO8ZWxIk\nqQokLXqNZB0CsUH5rv3tOzo9/aa0MqvBdd2BDvjQe6hardaVQQ+TbRZloeHXVDJjnYHwADFSEyCJ\nTap171VUJoxpmnWqRMWig5dfruKVV2wACi64IOgQjI6K2LkzqD0/d250xGDBgmDEef9+HXQpluVF\noB56aE/d37W7Ea9Wq/4AHEqrzmTIOdi7V8XZswIsK/j+mDfPxLFj0fcvm61PBZ865eLqq2uv4eio\nG/p9ffZmfNzExRfX6ko3bTrV1jX0gyjngNLrFPkc5swBe76tTB9et26dL1f60Y9+FOvXr8fjjz9e\n97hMJoN8Pu9/T8pb4U0bZ2bBilTQ+sNO66Wp7N1+TtjGXnIwSNve7xdI1jZL5BRETc8VRBGpedEN\nrZKm1g3UauX8KQNPJTftrrcUCJgue0LrAUuschDjIITvVdh5YDMtaigroM2tzxb3i3Avmaqq/r02\nDKMnDcj9DOZEOdTDZJt5ZqCPsNkANt1PA7EURQlImXVraMJvRKrbpHIaNiW6cWMFkwISOH7cRbUq\nY2SEjRoLdVKS27YVkcvVRxCOHg2WCp05U8GqVbVSIVlWcPp0GT/5Sb1D0AqsGhHNDphN/Pf/LsNx\nJOh68PW94IL40qtCoRz587Gx2jGOHw9GHfbtK2P+/PqFeeHC2gLxwgvT7wyEoZpaTdN8Gb+oIV/D\n5BzQ57RcLvdMu3rVqlXYtm2b//2rr76Kc845B6Oj9UpSnJkB24vGZpsMw+hKTz+8VkUNKHvjP/2W\n/3ualBuFpHrrn5rx7HqU3j0pClHfQaO69yhM0/SzIO1ec7tZk34jSlKdelAU4U1/+DVoZUJxJ/Ri\nsBqrsAbA/5fs+aAMOgs7F51e8yDYZkESGn5NJTPKGQhnA0RR9Bt3Sc84PECsF84A/T1FaWzbjiyn\neeaZSuD7Y8eA5ctVJqJfP5W4XHawevW8up8fOWLUqQrNn58GBe6rVe+c/uZvtoX/tOn10nWQ4kO3\nswOm23h0wsaN4mSJUPAjkkxGOwOCABw8GC0Zu3evjYsv1rBggYz9+/OB37kusGJFfSTIMGr3rNvM\nQL/LbOj4UUO+euEcTEWZEHs+pVKpYWZgYmICGzZs8BfHH/7wh3j22WfrmtgA4KMf/Si+//3vY/fu\n3RgbG8OXvvQl/NEf/VFfroEz/cQpBtm2XSej2c3aw5YbhQM1Wra9wI2vcjNaX7LoNxTbNiRNwcQX\n/7jl8ysWix0LcwzSmiH877/y/y+nk4H/0/dCxCZfniwdohIiKaH65UNqrpaBERUFgixBlCUk5s0B\nhMHYlrGzGlKpFERR9PvqBqHPIKqUadhss6SIDb+mksF413UJKQVRNoCiCtS4K0lSTza1jZ7fMAzk\n83lomoZMJhNZTrNxY72G7bZtwLXXJqAowO7d0Zu+Yr2PAABYvNgrJXnHO+Zi5cokDhwYgyDYAGo1\n7du2nUShUHNCGm2q2OugtGG3ZUGDFN1plaeeEnDihIhEot7QFYvR/QJLlwL5fLxyx/z5Ki68MDoq\nZNv1Pz9woOZYnDhh4I03BrvGPEq1ql/OQb9go7iNnAHTNHHXXXdh4cKFWLBgAR544AH87Gc/w4oV\nK3DkyBFks1kcPXoUAPD+978ff/7nf47f+I3fwAUXXICLLroIX/jCF6bkejhTC5XL0Rrkum6glr8X\ntpRsNFtuxBKWs5QTCuSE4pcOAQiUAjVqIAbqG1tto7kOO3t+nchaD9qa4UzqSAuSBKdShagoQQnR\nbApKinESkhrELhuuoyZCTyc0AIztM7AsK9BnEOcY9DqY0ygzMGy2WZDEhl9TydBLi1IkhnUCHMdB\nqVTyJUMbGaRe1CNSg1ijASq67mLLlmhDum8fcPXVCjZvjo4679hRwqJFCRw/HpSiPHXKxvXXL8Cz\nz77p/2zp0iyOHMnDcwhEVKs2vvKVF/DlL/96w2ugQSVREaxuodfINE3IsjwQG79GfO97EujehTl0\nKHrDf+65Ng4fjj/mrl0OLr20Evm7N96o1w8bGzOxfHkGBw8WkUpJ2Lr1DC66aHjrzMk5IIecpPxo\n7ofjOL6EaVjilVRY+kX4/ajrekNnYP78+di8eXPk75YuXVrXgHb77bfj9ttv7/5EOQMLKx1K09CL\nxSI0TYtVDOpEmpMa+JvZaDWtwqp460mcBGZ6QRZ21XtMcjQNx7InN6Ei1Gxtc6tmU5BUGdWi4ZcV\nRZ2/67q+gx91fu1eK62r044oQkpqsCtVyOkknGrj+9oMyg5Imgp1ThaO6R1PHR2Ba9fWF/vbd0C6\nbfAkiKnPICzJquveOsZKsvb79Qsff9hs81RH/xsxOGfSJpQNKBaLfvSF5CHp+5GRkaaRiW5Tta04\nAgDw0ktVmDEll6dPu5g7Nz6q7LrA8uX1g0pGR2Xs2xfUH122rL7k5LHH9vv/j7pe9p7FXUen9yms\n6ET3jDaBg1CDGGbLFnIGgj8/77wqVBU477z6vxHFxhGzfN6FIERHTs6eNXHRRfWNe+eem4GiiFix\nIoWnnz7W6ukPBXGZAwD+dFCS9GOnhPf7nIDmmQEOh8WyLIyPj/szS6hWPplM1pWldgplBKh0s1mw\nhq1Np4wA20isJNW6xzeqZ3csB4nJoVjlr9dvnqhXLm6qcDv3gBwB2mhS9nC6y1KaoaSSECevmzIF\nUjLhlRMltUD2QIxRGwocb269kuBU0E7/QVh5iUrWKpWKP+W+l/Z70PYK3SJKQsOvKT2XKX22HkKb\nTHaTWiqVIht3G9HJJpdtrqUx582e64UXoqPCxNGjOubPj3dcToUqiM4/P4Ht24/joovmBn5eKLBO\nhQDAxVtvFfH8829FXoeu623fs1ZhZfUopU1SbRTppY3foJSMbNgg4MQJaXLjXvt4XHuthRUrKjh5\nUsCxYwIWLxawbl3t92fONJ4OsmyZ3HCWzMKF9fW6lgWsWzeK7dvPYPPmwWsiJnqRBo5yDqgEgqKu\n/ZqiGT5WK2pCHA4QXIcAr0SGauWbyVa3uvY4juNHNKkXLorjf/qRwPesYlCUQxAHWxrEDiJzTBNS\nsr4fgdZDyip3k8VjZUgpq0LKS2H5y6lwDMQf3ecPAWOvXU4loWRSdeU8bE9BnLyokqsP/KijwSCe\nPGfqFIV6BSkvkQ1PJpN+32a1WvX7DHphu6kCZCAyR10gKlLDrzCCIPxKEARdEITC5Ff0eGXvsbcL\ngvC2IAgTgiB8XxCEhh7o0DoDlAmgNwU1vPZCB78RlmVhYmIi0Fzbypv7xRfjI8ejowJ27RrHZZdF\njykHPOnQpUtrRmTuXBe6bqMS8jFee20M6TRr8AWYpoM/+7OnAo+jBcY0zZ7fM3IyCoUCFEWpk5Sj\n120Q68kfekiC61K/gABFcfGud1l44QUxMGzsrbeAzZtdXHutgEQiWOMfxeLFAnbsMJDJREffisUo\neVoHGze+DQDYs2ccZ8/qHWdnhs1oss4BLTD0Hg1nDnrhHLD3h2cGOK3Cbs6r1apfwtNKrXwrzgCJ\nOciyHDlcKYyaDtpx6gmgXoJw9F9SZaTm18oPWxl+5VSq/vnTOuK6LrLZbFd2hqS/JUkKBNjoHocH\ngk2FY+BWqxBDDdpypvY6yKkk5FRINrRB1J/9nTzpFIiKDEgSBFmCQCqHk++pVu3aINp46jMg+019\nBr2aUVOpVLqeEzXdCKLQ8CsCF8CnXNfNTn5dFnlcQXg/gL8A8B4AywBcCKBhQ8TQOgMEpRM7bXht\nNTrDbnCTyWRsk3AcmzfHOwMXXyzAdYEtWyqYMye+jWPZMs9ZWLt2DrZv98qDdu+egKrWDHy16uDy\ny+czfyUCcHDoUB7bth33r5cmIrfa2NZOFKtYLPp1o1FN2+FjDVKz6ebN3r00TQeAi6uusvDii979\nKRTqDdcLLwDXXmvDNJvpbVdhGC5WrYp2+Pbu1aFptddBFIFi0cCiRd5C47rA88+/PVBZlKmkUeag\nW0wY/hAAACAASURBVOcgqmcgk4nWW+dwoqASll72W0VJhzZDEMVAE3F4809Sl3Fa+d4xhLoJxiQz\n6lo2RE1F5YG/8EuXJElCJpPpajNK15pMJhsG2NiyFFYXX9d1lEqlnujis5AjIFLZTypCcjhm/SQn\nQWogyy1EOI1sedBUDnfsJ9RnQA3IiqIEHLpWXzf297qu90wCerroUE2olQ/afwbwd67r7nZddxzA\nFwH8YaM/GFpngJQaaPx6twPEGr0J2WFlIyMjAW+0lU3yG29YOHUq/oOsqp6jUC67uOyy+MjMqVM2\nBAEYH681wZRKFlatCkqPqmowMwAAhUIVt9/+JMplTws/k8n0rJ6VoN4DUm/qdFEMb/zC02+pFpEW\n4F4Z/p07gWPHvHO2LAELFth46aXaNRw5Ev081aqFd7+7cdTuwAFPUtQ0oz9ylYobmCr9zneOYt++\nPJYsqTkP27blByqLQkyVdClLlHNANoDk79pxDsKZgVaisBwOrUMAoChKWwGiRmtHlHRoOyWtvpyl\nKvv/DysNiUp9oCbsPCRGs9Amv1jsiicI0epU4Ubnzs4jaGcdD9sAuk+0RvTCMXAmG/0cowJRkeFa\ndqDJl5DSSV9eVGLlRxmHQGphTkGY3M8fqNs499vWT4X6D+vQ0X6Kfd0a2Ww6lq7rQz//SBDFhl8x\nfEUQhFOCIDwnCEKcMszlAF5lvt8O4BxBEGKHKAytmpAgCEilUpAkCePj410dJw5SwaEhRFGGqhUD\n/dJLjZtL2UFUR464EEVE1pfv2VPGjTfOx69+dSjw80wm+IE4ciSsRSrAshxs2XICb79dwNy5ak9l\nVilCZBhGIGLbK2jyMaXeHcfxlWiqk12+pEDTjYH83vdkuC59AF2cOlV7rRcvtvDWW9HvFdetYutW\nG8uXKzh4sL5LfNkyGYcPe+e5a5eBVEpCuVy/oMyZMxmFEoFjx7z3hMLUDW7efLJlVR76mukTowmq\nVyUHlJRXqPGQmjvZe8OqFbGUy2WeGeC0BK1DlmXBsuIHEraDYRh+dqodaU4lnYSlV/wNvRQjb+nJ\njaqwjCrUbAp21YQgiUiMpOFaNbuUmDcSWIiUXAaOacExLWjz5sAKlfN0AmX1Gl1rK2ss+/mnMiKy\nia7rdhSYkh77BhwAEAVI6RTcsKJECFFT/RKqcIMwlXzIuUztMaoKp1qFPJLznQ5pzggQcjbI3rO2\n3piUO2XXgmEk7nWjTIgsy5AkKXJ6daVSmRGZgTb5CwC7AFQB/N8A/lUQhKtc1z0QelwGwATzPQ04\nygIYizrw0O4UBEHwG4uA7rrMo4xNeFhZnDxcK7z8crwRmTMH2L+/5gy89ZaNd7wjvnlIkuqv8803\ny6HvS1iyhI3keC+zLEv4q796ucWzbo1+9h7EQY4Bpc+TySQkSfKzRLquBzIHrfLMM55RlWUyxrXX\n+9xz4xf606dNGAaQzUZf++LFteNUKi5WrYqWCB0f9871mmtG8eabxclj15pCXnnldN37NCqLQpkD\n0vumBWRYy4o6OWdaZFht7LjMgR1afHkDMacd2HWoHaKkOSnrGdV30Mpax5b/tDrtVlKbOxzURCxp\nKtSRLJxKFcmffK2l48dBmc1O5xHEwX722UZWksBsZ5KuGNpsiqkkpHQaYirplw75v1Nk3wnwswQR\n2QBRUyFnWws2SCO1kqG4TEilUoGu677C4jDaeKD+daNgL9tnYDKSjDMjMxDsEXjpzDi+/fpB/yuM\n67qbXdctua5ruq77AwAbAfxW3QOBIgC2Jpk2lbEDi4bWGSD64QyYpomJiQmIoth0WFkrUYtGzsAF\nF9T/rW1HP99FFyVx5ky9KtGhQyWce25w87J0ac2IJCcVJHTdwuOP7+94cwUg8j7Jstyw96Cfxoma\ny8g5AOCrFdFQFKolbWQoz54FDh2iqLI3o4FF06KdAVV1ceiQZ6C2b7fwznfWRypsO5gtEMXoRXrf\nvjI0TUS5XJsnceBAEcmk936YmDDx+usTkX9bO7boLxjpdNpP4VOJVa/LitqRoeuGXqgVxTkHtm3D\ncRwcPHgQn/nMZzA+Pu5rZnM4rdCNRDVQU+SJk+Zsxpm//EP//+F+AElTIGm1QVkKU8ZCw7G0keDm\nNFwWBMAvj3FtG2IiASGizKhVdF2Hrut9HQZKUCMriVlETdKNeu0EUQRct84h8H8viJBCQQMqvRKZ\noJiU1OqakOvOcdIZEkQRkCRvpH0Dwso9ZMso09KOw9NvOi07onWdHXRGZcGPPfYYHnrooaENcBEk\n6Utf1547H396xcX+VxfsAnAV8/0aACdc143MCgAzwBkAercRIYNMacteSG1algvDiH+zJpNRU4l1\nLFpUH2U+91wRu3blkc3WR1GWLw9qElcqtYi4rtsQRa9JeWLCxA9/+Ho7l1AHRbBIQq9RzehUKxyQ\nc8Bu+iir06iW/G/+RoJtC5AkB7Zd/3qVy9EZhuXLrcD8iGPHgPDadvRo0Bnfs6cKWa6/L5WKg1/7\ntQXYtav2ebUsFytW1DJFL7/cnsQoDX5RVdV3Dtj+i0HoOZgOWOdAURRIkoR0Oo0lS5Zg586duPnm\nm7Fq1SrcdtttOHPmTOQx9u3bh0QigT/4gz+I/P2DDz4ISZKQzWb9r2eeeaafl8WZJjpxBuhvXNf1\nFXmaSXO2+zxyKDLNqtmoufq+GEGWkJg/p6Zk0uBcmpXNBI7LXCvZ32w229Phlq2eR9Qk3WaOAQCI\nMdlCKZ2K7L8INxuLiUTASQAAKZf1Fwx5brD3T5oTW95df26Tdp6NqLfi8EQxiMpE1IBMZWnLli3D\n6dOn8cgjj+Diiy/G5z73uUAVwLDY5nbUhARBGBEE4f2CICQEQZAFQfh/AFwP4N8iDv0DAB8TBOGy\nyT6BuwD8v43OZaidAVZ6rNvMAKkZkCJEq2nLZs+9e7eFbdtcXHONhpGR+g/Y2Fi57meuK+Dii4OR\nGU0TsWPHSZimi8svn1v3N5YVPPaePeMQmTeT43j/TyZV/N3f7ez4flFZkGVZLQ11m25aLRd54glv\nUUqlXCST9a/T0aPRzsC8ecESk7fecrB2bW2RXbhQwltvBSdHT0zYuPTS6DRxlJMwMlJb0F9++XTM\nlbYGm0Vp5hxM1bCvZkxVg/LChQvx2c9+FkuWLMHevXvxgx/8ACtWrIjtH/jUpz6FdevWNTy39evX\no1Ao+F833HBDvy6DM4RQA3K3ijxKOhHYPCjpROQGlSUsgSnGbcyZTZavKjQZAVEf+0bL50iOQCvZ\nj6mwO2GFG1mWYds2SqUSlF/+PQRm4y4mYwQFJu85PVaQFUhN6thZhyBKTQgAxDlz6SRbvZza30ZE\n1Om6pnJGQ78QRRHXXHMNfu/3fg+f+cxn8JOf/AQXXnhhwIkeFtsczgyEv0IoAL4E4CSAUwA+BeBD\nruvuFwRhqeDNHTgfAFzX3QDgrwH8O4BDAN4AcE+jcxnezhOGbpwBNlqRSqXarv9s9tyvvOIZzS1b\nbCxbJkNRTJye3M+pqlcGEsWRI8FN5po1aWzefHbyOetftn37CoFzKRYtXHbZXOzeTVFNT2K0WrWx\nd+8YTp4sYdGi6Nr1RpDUXTc9FNNJVKPpxISDw4clAA4KBe8+scyfb9cNfSNct75h+NixWhP4smUS\nTp6s/ztvgx/MGGiaiHy+vgxM12vn04kz0Oj92ag5m0plwk237Os+iFGkTmCvQdd1jIyMYNGiRbjm\nmmsiH/+jH/0Io6OjuPzyy7F///7IxwAzb2Impx76TLT7WpNARTKZbNmeNnoeJZ2EWaovb1NSGsxy\nBXJCgWXU2yt1craAU40phZwciCXIEiCIcCabVwVV9UpaWoCaXwEgl8s1vNbpsCds5Jm9v2IyCde0\n4FomBFWFa5pehsB14JSD91qQYzb2yaSnRpROwTUaDx+NQnniuzA/+Mdt/x1Qf13UN6Hrut+DQEIT\n/brv/VojDMNAKpXC1Vdfjauvvtr/+TDZ5nYaiF3XPQ1gXczvjsBrDmZ/9g0ALXvrQ50ZIDp1Bkgy\n1HXdWLWgbtm6tWZgDx92sXChClImXbFCQrUafd6HD5tYtaoWkXTdWkr29dcLdec5NlYNSFMCwPz5\nbFrTe7xXAiPgS1/a2PI1kLMEAOl0umNJ0vAmchAQBAHf+56CUkmEJLkQRRthGd/Fi+PT4WfO1C+u\nR444uOYaLzqkqtEL7PHj9T9fsyaDHTvykOXgx/Lw4dpAs127xlAut69a0urrFc4csM3Zuq73TdY1\njql4n4Sfo1qtNmyEz+fzuOeee/CNb3yj4fkJgoCtW7diwYIFWLlyJe699966ZmXOzKGd9yopXEmS\n1FOJZ5Wp/VfSCb9/gGRF5YTXP8AiMtFpbU4wQMROxvWbiJlymVZKhUjMAEBbg8mmK8gQeF4haIvZ\nDEG4bCjcQyEmtMh+A0FTIYSzMtn4gaO9gpX0pD4Dem16JcXab1jHImrOwLDZ5g6lRfvCUDsD3Wwu\nK5UK8vm8Xy/cqQRjI0fEdV1s2RKMBLz2moO1az3DHC4xCTM66hnyTEbC9u210PTYmIlLL61XHFq4\nMFjOkM+HN43e/crlNDz22J6Gz03QBEz6oLTb7BV1fwYtkvyv/+pdk+NIkenTdDo6pSpJri8ZGkbX\nvWs8eza6EfWNN6pYtChYz2vbJnTdxsUXBxeG06crOO+89ORjXGzd2l2p0MaNBj7/+TH8+McTOHiw\niVxeA+UmUm1yXbfvzsFUNyg3sgd33XUXPv7xj+O8885reF433HADdu3ahVOnTuHRRx/Fww8/jPvv\nv79n58wZHNp5f1YqFRSLRSQSiZ4MyQx/L6fjy1Rowq2SbTxHQ4iL+LueLZQyabimBUFV4Tz69djj\nUFkp9XINmu2PxQ6unWKK2fi7tfUgro+gTmkoEaEqFKEoJMgKxNF5dT9vh2fmrvW/Ni6ODCTXNSCz\nykRk0welATmOKGdg2GyzKIsNv6b0XKb02fpEOwaGJEN1XUc2m/Vlx7pVgoh6nkKhiJ076zf8Gzfa\nuPJKBdVq45Th3r1ViCKwenUq0BAMAPPm1RvzYjH4mL17xwPTienlrlQcjI1V8PzzRxs+f7VaRT6f\nh6qqXU+YHFRsGzh8WEQq5cB1BXjTvoNYVrQzsHSpiUrMS7hzp41LL1UDsrFhli+vLSQjIxK2b/fK\nwObNq1/Mzz+/9thXXoluaG3GsWMWLr/8JD74wdP4n//zOD7xibdw1VX7ceedx+E4zd//YeUmtqxu\nujIHU822bdvw5JNP4jOf+QyAxkGI5cuXY9myZQCA1atX4+6778YjjzwyJefJmVpayU67ruur6GSz\n2YaTdlvFdV3o3/izup9Tv4CU8CLQUjJazSbQUDwnC0Gq1Spr8yZFKcLTiCcDQ1LOC1rEOQ7kCEiS\nNFRlpcrT/whorUtWSrmcfw/EVLIu6s8iJLRAL4KPrARLrkQBkCYDbyPNG4ld18W2y9+DZ+aurR0y\nJ0NQRGy64Fq8dMX6+HMKOQbhye5kzzt5r/ba/rPHC88ZGEbbPEiZgVnVM0ANo4qiYGRkpCcNyFEG\njp7nwAERcQqF4+PAxET8RhEATp60ceWV2ci69NOn63/2+ut5qKqEapX09m1ceeVcJqsgArBRqTjQ\nNBlf+MJz+Ld/+091x2EbvdhhMN02ag8iDz0kwjBEVCr0Ota/nidPRjsDCxc6OFgvBcz8XsGePfH3\nyzRrz7VyZRKbN3tzQXS9/m/YjMyWLe1lBo4dc/HjH1fw/e+XceZMFbX5I4DrAt/61lm4LvCVryxq\n67hstC+RSPj9N3ED4TrJwE1FT4Lruv55NXt/P/300zh06BCWLl0KACgWi7BtG7t378bLLzef4THT\nPj+c1iCbalmWrxjEaqa3CmuDKbAlw8sG2HotMiGqCpyqd3w5nYTruJCSXpOxbdSygQozBEtQFL8x\nOBLHARhZZNe2vLKZCGeASnA1TUMikejZQLYpJZECKgaEVBqwQvdF6N1GTZy3AKByq1xo6NjI3EAm\nohGu6UBQJoVCFmuTP2vf3lAfWTKZ9HvILMtCpVLxB4C1a8t7acPpWIZhBOYMDKNtbnUWyFQwYzID\njV5IVgozlUr1RDI06jnCz7NvX7zSTrEILF3afEBXLqdh1676zd/evUWMjASPr+s2Vq4MRhFGRqLT\nwZYFvPjiW7DtoKGhsqB2VZVaYRA3Qg8/LEFVXTgONQ4H3xeJhIM334w+b1luvMBZlo1kMv4jtndv\nBZLkPV+1Wlts3nijVPfYsbHaAv7KK607A1/9qol3vSuBv/5rDWfOjGDVKgUjI945LVwoYf16Geed\nV8Jjj72JDRs6yzgQUZmDcFkRG2kaFEWLSI3xGPtw66234sCBA3j11Vexbds2fPKTn8RNN92EDRs2\n1D32iSeewIkTJwAAe/bswb333osPf/jDvT15zrTTrIHYdV0Ui0XfptImqpvgCht1B7wII1seJCqy\nnxUIIyXUeiWhkJ1XRuMHXwIITCpGtQr3yX/wv7UsC4VCAYlEouN+iGldKwTBi5JE/SqVhpDOeg4C\ng5hO+8pA1CcgJlO1r8lyIjHj9WREZgdiz6f5Nu3FZe+GY9XOWdJESJoIdUSGlBQhJUVsv+HG1p9z\nkjhlonK5PO3KRLquI5Wq7W+G0jYLQuOvKWSonYFWegbYmve4Cbm9yAxQJIQkN1VVxauvxm8WL7hA\nwM6dJjKZxi+BrgOlUv1xHAcB/Xlizpzg5n98PFwT7p2vqsrQdQsPPLDF/w31UWiahkwm03EfRRg2\nPT5Iw1AAYOdONntT3zy8bJkdng7vk883juxZlo0rr4yfNJnPO7jkkjQyGQmvvTbu/3x83MQFFwQb\n+Q4cKPqNxYcOFXHmTFCuNIpvftPGl78swbIkeNdVwq5dMhYtmoerrlJhWePYuPEEjh0z8PbbBj73\nuQN15WjNaNakFeccsAPhGjkHU6VWRM/R7H2ZTCaxcOFCLFy4EOeccw4ymQySySTmzZuHI0eOIJvN\n4uhRr/zuqaeewpo1a5DJZHDTTTfhlltuwZ133tn3a+FMH+H3j+M4yOfzEAShJ6WWVJJH5ZvsZggA\nZKZWPbbuv0PkuaOQcjnIo6P+hF23WvVKaqqePSJHgBSSOoHWY7INNBRwWkilPdk/AEI6aJOFkOQw\n6yBENQ6zg8cERYWgNHEImPIgZdM/xT7spSvWQ1BEiLIAURYwsjINNa1ATsiTXxLkROvvhTibS8pE\nJC6hqiocx/HLQ6MakHttv9njhcuEhtE2tykt2ldmTJlQGNd1/THdzZSCelH+QpEQtjZy+/b4zWI6\n7WBszMG7353Cpk3R8qIAkEy6WLVqFDt31g+Oi9JpHhsLPufevRNIJGQYBjkUXqkQff+P/7gTf/qn\na/2yIKpl7RWO48CyLAiCAE3T/O8BoFwu18lWTiUvvijAtgVUq3S9DsL+8dy58Q7dm282dgbeequM\nuXMbO1Rz5ihIpYAtW/KBn597bgqHDtXKyCoVBytX5vD6657TsGXLabzvfefHHvfJJ13cc4+AmnNT\nBeBdiyTJyGQcnD0bdBQPHTLwgx8cxyc+cV7Dcw7TjjoI6yC4rluXhmalX6dqIBH72W+mJBTmnntq\n0s1Lly5FoVB7ze6//37eMDxLiPoMhEtlwo/pZN2hzRepwUQhp5JwmHIfKZGAVdYhp5KwDQNyJg2n\nUvWzA6KmQkxocE3PPsiTvQCuBAiw4Tou5Lm1jalr2xAzGV9i1PsjBaZpolgs+hvFTq/VcRyYpumr\n3VDwSNd1yLIMWZb7tlbIL/8LoGheDb+he+U7quo5PBFRISGVBiq1++BH/Jv1YKkaUK0EHYKR0fpy\npCa8eNm7YesORFkAZAm2bkNSvc2/Ozk8k/3/ng/+Ji594pdtPUcUpExEfS+0rpNqFP2un4TLhMIM\ng20ODxabToY6M0CEDQ3VUlYqFeRyub41L1H6F4iW3NyxI34jqeveh2bnTgfpdPzLcPhwHrlc9Obk\n8OH66PDrr+eRTNY+hJWKjUsuYYeUUW00AAjYv38MBw4ch+u6GPn/2XvvIDuu+0z0O537xgnAAANg\nBiByIAgsRVCkKHEpSys9ibUrbcnys58pP6vEcrmk93aX5VrbtCjJsiVLWq4VLNuiJeuJFO2SyjbX\nXgUGlUlRFBNAkEhEGgCDPMAAmHRnbuxw3h/dp/t09+k7dyIx8HxVXXPn3g6n0+/84vcrFpu+wFOd\nvBqNBqrVKiRJQjabDZp/sRdY1Pwr3hl4LvGtb8lBmo6H5DE9qtEkli93MDqa7q3q7JRw8WIdhw7V\nsGJFM5pK8TG8Yub4PkMvSLO6gYEBivvuc2P78MIfK1cSDAyU8NJLMtauTXqvvv71C7Dt+YnaiBrC\nMYYVFjmo1WqBcjCX3kH23pbL5YS3dRGLaAW8fLQsC6VSCaZppqbKTEeeOo4DTdMihoCS8zzSokgA\nixSwvzKnPEkpha5xikylXVDA6tKQYce2gHot6Eg/FWM6DqZQ8t3B2Twh6hY8pxEDWfYiA9MB81gL\nqUU5BTbPRfclOSgkpm1LQVvQWdS8DJlLRV3y79oiUQA149f7yXOndIqYiQghgTN2NpmJ+H2I2IQW\nGq6nyMCCNgZEBcCNRgNjY2OQZXnSLof8fqb6oFqWhbGxscDbGT/O4KCDwcF0QXX+vMfbXypR7Nwp\nTiXp6dFw/nwZZ86I6R8HBxtYvToaurQsF5s2RTsUF4ti61nXVVQqFr71rUOzWkfBaicqlUqg3Im8\nYnFFMM5iwDrhzhX38e7dEsbGwleAv4W5HMU73uFAUVysWwfcdhtw663hGFasaE4Lu3o12xnB2rXp\nyuXJkw2cPZuMDMW7FgNRx1QzRqHf+A2gXOavtwXAASFAPl/D6KgDSgna2toS254/X8dPfjIz6tLp\nQvRMsPbz8bQi27bnRBFYNAYWMVXE01UbjUagGKd576cK1h08zeOq5JLpQvG6gDgkUcrsFGvEglQZ\n3UDb/p/MqMbMsiyMj49D07TEfMpSVHi5MKe5660WCEsyYGY9JR7wPjPwBoExiUxJM6Ca6C8H774H\n1rgDSSFBXYCkyFBNFYquBIaAoitQTRVqRg2+myvwMpxFrwghkTl9usxE/DEA751Y6MYAkUjTZT6x\noI0BBkIIXNcNvMu5XA6ZTGZK6QutPpwsXMkXI4uoSZtFBZYuJRgcDJkfTp92oSjJsa7wszUGBurY\nuFHclGTVqmQX4Xw+qvyPjsZDjyw/2vvvuefOz5ohwArbHMdBoVAQTlxpvQcURQm8C0zgs3Qv3jiY\nDcrKq1eBiQkCStkr4IL4E8C2bS4KBRcvv0ywb5+LU6eAvXuBN94g2LGDoL0dMM3m4dxMJpyYmhmF\n69eb6O5OCrTz52tob48qEpcuhdRU+/ZdE16Dv/s7in37vMZyITzD4s47CY4dC42MN94gwujA9753\nOXW8ccxlTj9LKWLMFnzkwLKsQBGYaTSJP4dKpYJsCnf4IhbRDMwbWi6Xkc/nJ1WMW6UjZREy5tyK\npLV9+6Hgs5xr3YjlowKKz3dPVAVyITqfyKKoAGO3cX3vBFOEpel7MvkUo8nSS/jmWXzu+mwYBlTm\n7llEsc96UQK2xMGn+6TRksZqDqD58j2lczEPp9CZeFbsmhOJCgDRjraypkDWPEMAgGcQmCrO3feh\npseaTZnOHIFsTp/N6M4NYQzIctNlPnFDGAMsjYClukzVO9GqMcByQC3LSi1GZnjzzXRjoLc3+qIN\nDDh429uS0QH+JVm2TKyg1OvJccfrBs6cGcemTW3QdZ8/WmceeG//J04Mo78/WZMQx2TXiUVlVFWd\ncQFy3DjIZDJQFCVSsJRWeNrKvfz2t1lRLYML2ya49VYHfX0UAwMEy5c7KEVT+XHgAEWxCLhucyah\ncjk09k6csLB6tXiCaG8nyGbFz9HatVED8Pz5CvJ579m+cqWGvr6rkeiJbbv4wz9kdQIUXkG0DcBC\nVxfB/v1jsSMQLF0aLULv7tZw5kwNZ8+mcOLOM/iJSRQ5mO1Us0VjYBHTAWOTazQaqU6Q6eyT1XK1\nGuWWc5mgx0DwnTl5dCLOJjQlKAqgm6DTPGc+ksLm1Fbf3Vk1DI6+4B1bi8lqUyAPmqUPxY0iPsqg\nG0mjAADNhVFaNx+N7NsFrwkZX6R78O57IGsS1IwMJectnZu9fSi6ZwR4Q/EJQ7KzE6GaCWYjusPP\nBzeEMTDNPgOEkA2EkBoh5PGU33+bEOIQQsa55e5mY1nQxgDvNZFleU4bY/Edi/P5fETRFSnJb76Z\n7jnmvcYMtVqs7bkEHD8eKuhXr4qVz76+CUixcFJfXwmGocA0ZbzrXd1wXQeapqJe9zw5rA+BN3YJ\nluXiG994LXW8k4Hdh3K5HFTwz0YPBx48Kw2rzxBRVrJJeTL8/OcSLIu/5g42bHDw5psh/393tzgV\n6MwZL6ffNNOftbNnK5H/e3rExsDgYAXXronvrWFEJ1dKgbVrQ+X9+PFqJHryh39oo1Ry/ToIFYAJ\nrygaWLfOQaWSvC7790soFGTcfHMGGzcSXLo0jNOnr+GJJwZSz+16wWwZB/wEUy6XF42BRUwJrHaM\nUopMJjPlwnfRc8n2ySKs/HzDry9nM6npBFLGDDrhyqbuLbHogaRpqTSXSkenFy2VSEShJcV2IO87\nKrhCZWI14Oz9iXBfafOAKJIy3TlcZBiwSH6lUpk03ZS0yOcfIMMp9YoajQ4AYWpQWqQgJ472pyF/\n+tUg+kT9AmXXCc9H0RUoujdnaFkNqqlC1hQohk95qshQMxrUzPRrOqaKtOudZsSxuVzETBTHDWEM\nKHLTpQn+CsAeiAodQ7xEKc1zywvNdrigjQHGRDKVlCARWuGI5jsWt8IKcfhwuue4Lmhbe+BAHT09\noXdmwwYDpVK4j+PHy1i6NClUSiUbmzdHc78bDRe33roUPT1Z/PKXF1Eu24FH2TsnAsAL35mmRYZN\nbwAAIABJREFUJxiefvpU6nibgaUFMUrV2exL0AxxykqWPgJ4QqKZEkgpcPIkQbUaPv6KQjE8DDQa\n4b3NZsXGQCZDsWePhVtuEXtburtlDA9HjcGBgeREs2SJghMnxnHyZAWFQtKrViolj5/Ph4J8376h\nIHqi6yYee0wHoMBxVISvdhUrVwK7d4sb3NXrBHfd1YE337yCvr5wnSeeuCRcP475ov5sBdMxDuLP\nxmJkYBFTheM4wbM3lXchbV2ejjSfz0fWE20jxZ5XiaMXFTHgSIYepAbxYB2FIcuJIuLg+Hw33FwB\nYPLe8huXWeL6NhGYnJ5tBjsgGVnmmYnSlE3JboD4qU+ubnopQ2n0n8z7n40ZBICn/LNoAm8Q8BGH\nSTocU3//di6apqVpGk7/p/8IxUheL1lToOWMQPkHEKQISYoU+X4+Mdk7wRsGbC4HxPM4f79uCGNg\nGjUDhJBfBzAC4FnEudBjq05lLAvaGFAUBfl8PpFHOVWkGQO2bQdFwpMx7fBwHIqjR9ONgYsXK4Jv\nCdasCYV6V1esBTwFNmwQN4Lp7Ix6e7JZBdmsir6+kLt+YkJAi0YILMtTUs+eLeHQoSupYxaBFVGL\noiXzCV4JlCQJhmE0VQKfeYbVC7B3hSKXoxgair477NrE0dvrwHWB3bsd7NqVNAhWrky+g/39Fnp6\nouuuW+cJPdcF1q1Lho5PnSonoj58HwC++dhDDxG/izLvTWgAcLB8eQNp0dd3vENFf39yAj90aBwn\nTyabn803ZmJstGIcVP0mE47jBJPPojGwiKmAT4uc6jwUn3tYDwFVVVNJHUTHCBR5tl9GGxo0wBIr\nTXLMKAgaZxWT5AIRQ4CB845TzQCVW5sjWc+Z2UqpagYmB1RVhSzLQmXTcUIjAEA0jz+t0QyDIO0n\nFfEUJABu1pvXqarDLi4Ni4YlBVRQyMzYgsI+Agq6tiyNrqOHtQKKriTShIYeuC91iG+lg4dnJuIZ\nGlkBsuu6QQThenJETRdTrRkghBQAfB7AA2iu7FMA/44QcpUQcpwQ8hAhpGmoYUEbAwyzlYrCwEKL\n4+PjLXUsjh//1CkHtZSeUIUCETLFAMDhwxZUlRUyJqMH0bSWEOPjUWF1880FDA5Gc75PnSpBlvnt\nJbgujYS0v/CFF8WD9sHOky+ijqcFXQ+YjKno8ccpNI0frx2JCDBcuybWoNvbw+9Pn6ZBR18Gw0gz\nIqITMiGhwWgIvDaVioN16+J1A+F9PX7cqwGglOLv/15FUjbU0N1N8MYb4vz/nTtlvPzyMI4fd7Fq\nVXKSevLJQeF2CxWTPRc7d+7Eww8/jJ/97Gd4+umnI7zUcZw4cQKGYeBjH/tY6jpf+9rX0N3djWKx\niE984hNoNFr3mi7i3x5s20apVAo8pGl0pGmQs+KmV7xBIDWhFiVNCllJm8AQALwiYk4ZJlbzZogs\npbRerweOvNRjzsGcIqLBBDzDwPWLh+OUnq6RhaubcM1csAAQM/2I6gtioFrSgSQyooKoADeeEx/+\ngHCfRtH0UoK4VCE14x2HUVTqeQNaVp/X+oGZ6mWSJAXMROyduHTpEtavX4/R0VF8//vfx9BQkllv\nocjnadQM/CmAv6WUDqB5itALALZRSpcC+AiA3wDw35uNZUEbA3FKt5nsh23P0l5Y0dZ0OJP7+hy8\n/e0qRA6P1avTBdzwsIsdO3KQJODEidHE70eOTEBVk7fs+PHw+zvuWILduwdx/PhYZN1y2cbGjbxA\nZ0U4NtrbvcnixRcvTHod+eszn2lBM0E8ZLxnjw52/oriKe6VSvS+KIqLc+fE10KSQiX+2jWKm2+O\nPiPj40lDDgCGh6P76+8Plc20mpClS6MGxOXLVSxZoiOXU1AoKOjvL+Ev/1LC6KiE6OtMAdSwZo0D\n0S3t6JBw9iw7PkFPTzJt4Cc/mTxSNNfemflgK2JsF/v27cO9996LbDaLL3/5y+ju7saPfvQj4baf\n+tSncPvtt6eO7ZlnnsFXvvIVPPfcczh79iz6+/sjTXAWceNhOk4ptg2j1eQV1DQ0zXvnFFQRdSjg\ndcJNqxNoGXHShkwexLZAVQP2G08lx+Uz/k2lIHquHUwRw+DiAeE6riFW7uPfUzMrTCmifqSB+uuz\nIuvAIFA1uOrkyjmLEDBFH4jWC/C/aTkDWs57htSM7jEKxQyD+cRsMhMBQE9PDw4ePAjDMPCjH/0I\na9euxVNPRZ+5hSKf45GAF89cwpeffS1YIusSshPAewB8nX2Vtl9K6WlK6Vn/85sA/gTArzYby4I2\nBhhm+rAxgcyz4UzmtRBtz7B/v43dux1s2qQm0n0KheZFSoTIWLcuWi/AUC472Lo1Gb6tVh1s3tyO\nYlHFiRPDALx0kqjyDyxZIqKe01EuL4MsZzA0VMWf/MleOI54jCw8x9KzWkkLmu2ozUxx7BgwOCij\nUmHN1xxIUvJ8e3ocvjYugrGxaCRmzx4bK1eGz8qZM6I0MODo0Tq6ujzjac0aHVeuhEZDf38VhULS\nsHKc5LO9enUR69cXcOzYKF58cRh/9mc6NC36vBiGg+5uigMHxN2t16xxMTISnsfwcHJC2rNnBJcv\nT8xbE7i3GixacN999+H555/H1atX8d73vjex3g9/+EO0t7fjPe95T+p1eeyxx3D//fdjy5YtaGtr\nw2c/+1k8+uijc3wGi3grMBOyBJYC0WpfgogD7F++kawXaGZINJHXUueS8DNLEZJlr36grVO8ETtX\nx8Fz/+GP8ewHv4Sf/8pDeP7uP8Cz7Ttiq1J/VaeluYPPD5/POYQSKdUAiGOy9QJDQA8dOlT17g9V\nkvfZzorTgBku/sUjcG1PZqsZFVpWCRYAAYMQgKDAmAczBNSsATVrzH5vhnlER0cHDMPAE088gUuX\nLuGee+4JfltI8jleMHz3ptX4ow/eFSwx/HsAawCcI4RcAvB7AD5CCNnb6uGa/bjgjQHiN/2aibBg\ngocVM0017SV+/CNHPMXs8GEHkkTQ3R1eZstqTtm4f38dq1alGyGFgljYt7UZuPnmAoaGQgWzoyPq\nVa5WeSVWAbALwP+BRuMWOM7tAO7Gl77kIp/fjfe+d3+wPksLYt0vZ1qwzfBWKJiPPCL5XioJiuLA\ncWShgbZ0aXqe6LlzUSvBsghWrfK8QitWyBgbS6sXIVi3LuOvF1X8XRfYsCHJLjEwkAy7L1miY/9+\nr17gK19ZhnJZRjzCWas1sHUrEVLP7typ4o03oikwx4+76OqKTlCuC7zwwshb1iF6PhCPPDBGLMAz\nDuINyEqlEj73uc/ha1/7WtNrcOTIEezYESpEt9xyCwYHBzEyMjmF7yL+7cB1XdRqtZb6EqRB4mku\nZTn0+vvOLMn0nmHJL1pl0YOm0QGRI0ygwD//a3+OZ+/9cuJ7atHAIGBzK4CWDIG3IuXUlVS4WnS+\ndFo0ChL7MrJJelIkKUtd1YCriufzeOFwI9OO2pg3F/DRAQBYsqELkiJD1tWgSFgxdci66n3nU8sq\nph58BoDan3wyYFriC6qv51x8UX+iTCYTFBIvNPnM9Ne0JYZvA1gLYAeAnQAeAfBTAO8X7PcDhJBl\n/ufNAB4C8C/NxrLgjQEe01FQbNsOcoOnUiTcDMwYAIDLlylMUwKr70pXFD1YFkBI+nkMDIjz2kol\nC6+/fjXyXbxo+NQpRpq/FMC9ALYCyMErNG0HwApaJbz4Yh29vXtw4UIFExMTsCwLqqrOyvV5KwXN\n888ryGS866tpXnOunKABtKaJPSZdXTZKpeT92bPHQm+vghUrmp+bV+QLNBrJsINpJpWB8+erkeZj\n69blcPUqMxAKOH++A14vgfir3PDT1aLKrCwDo6PiAvZ4fQIAPP/8SFNmnjRWntnCfE9MkxUQf+Yz\nn8H999+PFStWNB3XxMQEisXQ01fwBUCzOoRFLGxMxSnFFGRGR9qqXE0cw08fIZxBEBQB8/UBZigH\nCDMK0mhF+dqBQjISDQBusRMv/u5fe6sXFOjLNOjLvH2F3XAJXuh9W0C7ysa/EODorUcHGPOPa2Th\nCoyAOChnAIjWd2UVLpGD/TIofp8gJ0ZsoeXDe6tmo52ng/SgFHYoxrQEhAXVjuPMSmNPYG7kNx+J\ni2OhyeepUItSSquU0iv+MghgAkCVUjpECOn1ewms8lf/FQAHCCET8AyGJwD8WbOxzG0Z/zyBjw60\n+uBRSlGr1VCr1ZDJZFAuT585hRfQjQbFyZNRJby/38WuXQreeMPGmTOTH6dWS/dKnzpVwfLlJi5f\njkYY8vmkJ+fEiRIkicD1Q4YjI3WsXNmDixfvhMdD7wK4BIAJvhy858szOMbHgTvu2I8DB7ajoyM/\no2t0PeDCBeDcOdnvEu+gUvGFqyAVp1IRGwMrV1JcEaTSU+pFgFS1eWfiI0fqME0JJ0+WEr+l1Q2s\nWZPHyIgX8TEMgjNnWOrPu+EZARaiEUAH27e7OHTIwcAAsHq1jLNnvWfq9ttVvPJKGs1oUjF4/vmh\n4L2SZTlInaOUwnGcIFJgWRYkSYKiKJBlOcjFv94RlxmVSiURDWDYv38/nn32Wezbty/YNg25XA4l\nrmPd2JhX7J3PT4F5ZBELBuwZakWBopQGzCjsXZkVCLz5UjYLcCkjEk9pqeqAVY8YBKRjKWA3l2G0\n0AHin6dSUALFX9YkaG0KKufCaKZrU+zbdg/uOr0neAeuN9TPvhkoQq5mQrJqIHYDrqpDciw4Zg6g\nFIS6oESCXJ25wkhVLUHDyrofE4ebByQZdaMdVz//x5HUH0WXYVXDOUrWo44kxTcC4LpQDBVEluHU\nLT+CYESMMybXGdd/rVaDbduwbRuyLAcy/XqS56L3bEHKZwFbVKuglH6e+3wOQJ77/79jkoLhOBZ8\nZGA6D2i8SJh5PGcC9uCdOOHAFuh0r73m4t3vVoRpGzxWrFDwyitj6OpKD+HGO9O2tal4442hRI3A\nxISFDRt4z46OK1feDs8QAKKGAEMWgAzTvATgBK5dO4nbb/85Xn31GhY6vv1tGbYt+8XC7D64QuX+\n8mWxMZDWewAAXn/dwcSEuF6AoVYD7ryzgNHR5IR78mQF+XzSPmcdinft6sThw6MYHm5g6dJuACv9\nNeLPlAXD8MbpOATt7d72ihItWo7j2DEKRYm+Bxcu1HDqVPKcWFE2m0T4Jj+skRDfHXm6XqbrKTLw\ni1/8AmfOnEFvby+6u7vx53/+53jiiSdw2223Jdbdtm0b9u/fH/x/4MABLFu2DO3tKawsi1jwaOU5\npZRifHwclNIgZWYq70az6APhFH2pWYfc2LoB5308SpBPRgVoweuO+9J9npPR6FShFzXIml/gGuO/\nZ1GCV7fe0XQ8aZiPdETZaUCioVxnSjkAOFqSktXJROdfx8yDKt61c3XPkeAa2ZCFyK8ZcMxoCJpy\nBceNfEgNapnJ2gFWKwCEvQNUUw0ai2n5DGTNTxHiDAEgTAtjaUNpiBsGpmlCkqSA1pMZCW9Viih/\nXJapwGMhyuepUovOJRa8McDQaoi2WZHwdB9yfhLgU4TiKJcpOjqa3+CeHhWUEmzalN6d0Lajt237\n9gIqFRvFYjLk2NXFTwo7YFks5WQCgMjgIAA01Oth4enFi6P48Iefx//6X5OzDSX2xtGR2rb9lhYs\nPfusDIDCcSgYH3826yQiA7mci0spPbf47s1x2DZBW1srwTax0uA4VJiqMz7uQJYJrlwJlfJq9R3w\nXl83sb9MxsL+/WHtyP79BBs3qti1S8XgYLrXr1IBNm/OY8kSDe94RxE33aRg5UoJL754NXUbpqzH\nGZtYu/nZNg5mG3Fjo1qtBjUDcfzO7/wO+vv7ceDAAezfvx+/+7u/i3vvvRfPPPNMYt3f+q3fwne/\n+10cPXoUIyMj+NM//VN8/OMfn7PzWMRbj8nmINZMTJZl5HK5mRu5ZhbIZCMRAaJqIGmNsqYDSfZq\nBSQZbsErJH7t//kf0NoUGJ1q0BhJzaiQVBmqIaPzliKUggKFa6RIVILT//E/TenQs5mu0gy2asJW\nPYXd9anYbZ2TAaIeRE2KfRP1AkQK+xfAMx5aRc30lFNWHKzGUkmXblkZ+V/W1eC5UrJRQ0ZS5JbY\nhJhMjNN6SpIUpIjWajVYljXpvZmrNKFKpZJoOLYg5bNEmi/zOZR5PdocYjJBzEKzlUpFyI0/kyJk\nXuE9dEhMKwl4XW63bGnusVFVT9kcHk5Xmo8fnwiohyUJOHXKoyEVeZvDJlXL4BWiM4wi2qCKwYIk\njcF1l0S+HRur4pOffBW7d089QkApRalUgmVZqFQqQTHZfHoZqlXgxAnZ7wEQHrOzU8wklDasoaF0\nY2/ZMgn791swjOYvcTODgkUBePT3l3HbbR04e5YZaComJpb5n22/xsQKlm3brBgTEkGxqOHcOTGz\nEI+VKwtoNKp4+eUrOH26jIsXq/jFL9KNgTSkGQcsDM0bB/Mx4beKcrmcGhkwTRNdXV3o6urCsmXL\nAjnS2dmJc+fOIZ/P48KFCwCA97///fj93/99vPvd78aaNWuwbt06fP7znxfudxE3PlgzsTgBw1Tn\nHX6uCcBz24uKkE0zXOIRA1VP7bJLBXUMPAe/ntdAZAmyKnkpQozVRldQ5BpoujaFmpFh15rXy/Fg\nNKT1eh21Wi1IS3yr5AShyXnCNkKDQVhsLNiGrxFwVSOIKDTD8Je+kPobzyDEvP6KaUD1u1ArWROy\noUExw+MqWRNqxlvsv/j9SY8PhHz/rH5MluWgm3O1Wm3JMJhNiLoPL0T5fD1FBm6ImgGguVC1bRsT\nExNQFAWFQkGYozkbjETlchlHjqR7XqvVBl5/vYYNG3ScOCE2GoaGvFqAw4erWL5cx+XLyfXGxhxs\n2dKGo0dHsWNHEfv2eXkufX0l6LqMej1UNk+fZgrgLcF3sjwGxxHlRTsArsF1DXhRgzEA4fFt28Gv\n//pzOHPm/4Kut/bosEYejDub8U0zAVKv1yFJUpCbOFe55o8/LqFWk5HLWeAf+2LRKyLm0dYmVta9\n3gPpE9qqVRJef93FHXdk8eqr6Yr3kSMTWLPGxJkzSWYpnu6TYXzcRrXKC4Y7ENrxDih1EaZ+WZiY\nED2DcmpHZYY77zRx9uxYgtb2xRevzdjDw4wDVijpui4cx4HjOEEXYBaiZvmpU60Dmg5EkYFWOxDz\nvNS9vb2J4rMHHngADzzwwOwMdBHXNZqx2jGSCtM0J+0h0AoopcDPvjv5ikZGqJBCN7ycwXpsbskW\nAMcGFBU01wa4oRxw8+2Bh9xs86LLRCbQ8xqoH+1VdCXgvlcznjzSuEiprEp4/a534m0vNW9uySLI\n2Ww2cBSw+j4AgRyZjbli7NJZmP55WloWslWDpWUhOVEZaut5KPVkiqXLpRSxfgGOZkJuVOHoWcj1\n9Do7R9YgO42IQdAw2xLHVk0Vdb+xqKwpkLUwbUgr5GBXa5ANbx+EMMrs5H2XVBWSpkRSjqYDQghU\nVQ0iv6y+oF6vB/Kb3Z/ZBC+rq9XqpO/SgpDPs3yNZoLrZyTTRDMPCxMiTBCzlvGzDdd1YVkWCCE4\neTJdOA0M1ECp56UVQdcJTp5kSiTB+vXp4cQlSzyrWJbDl97rLRDN87x6tYYlS9YBKAKoAHCg6+Iu\nkYRcBWMU8hTkJbE1VIyMTOCjH/1Z6rgYmHHEBDiry2B5iQASXWDnMp3kxz/2JiWvXiC8R64r6vIp\nVpqb9R4Aws7DzdjJbrpJw/CwjVWrxEWqJ0+WoevRZ3TnziKyWd7jt97/68A7l/C3XM7G0aPJQVYq\nNjZsSFdyb7vNwCuvDKGvz0I2G/VIDA7WceqUeFKb7v2RJAmqqsIwjKDtvCzLgXFQqVQCj+B8ppZR\nSudERizixodoDmo0GhgfH0c2mxUqL1N1QjEPeQImly6UyQKCLrctQdAJl8fhT3898r+sStDzRtj1\nls9j5wwBZiRIcnPlnSn9zEEUbwzIdwyOU2JOB4rbvFja0vNwNE9u2tzn4Ly4hmGiLsKOnoWjmYna\nA55StGFEU0NdWQWVZFQyS0CJjPq4N4eqGb8uIabMM0NA4qJCSsaEbBjBAgAynzbUJAVlqpEqVVWD\nuZxFf1kGgPBZnQXU6/VZMazfalxPkYEbdtZjRcL1ej0oEm6G6UQGGP8+E16alkkwCTHkciSgBd27\nt4FNm5LjWbdOg2WFYxgbSx/P6KiLtjYV+/dHW3G3tSULnoDV/t8CgIrfZCsuBEdBaXxMeQDx7wz8\n7Gdn8OSTZ1LHxq6967qp+dcMk6WTMKXQsqwZKYX798uQJJpQ/s+fT647MSE+Tmdnc8FWq3nX9Phx\nG+vXiwVVd7c3YZSSZEIAPDaqDRuiRqDrOqCUjXs9vKiNA69eIPoKr16dpJ5dt47g8OE6Tp0STwCr\nV6s4enTUPxbBxo3JfNjdu5Mt3xlmw3PPGweMN1qW5UjNwWw8B3GIIg/XE2vGIhYu2HObz+ebdrJv\ndd5haRlTej6NTPQvD10Hcr4i2qTOwM0niyqNNhOEM5q1rBZJWQGAznXR7RgbzuEPvkd4HJ7dT3SO\nkY7Bs2QYuESGpYRzpsUp+5YudsbZ3DqUyGIjQFB43KyvAOD3OpCi+6r/5ZfSB++DpxKVTR2ymdQt\nJG4dSZGh5LJQchkoObFTajoykM3lzMHDCCUajQYqlcqskklUq9VEmtCCBJGaL/OIG8YYiNJ7ekXC\nLC2olU7CUzUGeEYiVlxz6pSYSQgAenujL1c+nxS+HR3RdQ4frqCjQ+ypOXZsAjffnINtR8dcKsWV\n/E5cu7YcYbFwFRMTnfC8ySxNhYJPB4oiHh3wxvOJT/xc2KnYsqygQDuXy6Ve+7TrHRcocY9xuVye\ncuOr3bsJxsZk5HIO+Ec+n3dQKiWF3sWLYmVT05obAwMD4TVMY4NyfNq4o0erCQ88A2/Q9fSYOHhw\nhOtWvBM8E1IUFKVSkvmns9Nb//JlYPv2qABVFEBRLJTL4b4ymeSE9corw8KxzgWYN1BVvWI4ll4h\nSRJs2w68TrPdAO16qVtYxMIEn89frVZRrVZRKBSa9hBoVemyLAvj4+MwDMPbJpsHzcXIBsxsqNTz\ndQS8QWCkK1DU93K7seJYyoqICYFeMGD48slsMyIGgJ7Xg8gAiw6Ev2nQ8xoUQ4ZTt3H8P0f7JDGn\nWpzUAxDPFbNpGBDqoqGG18uRNTgpSjsV3C9X1oK/fKQAAGzVv/a+YudK0ZoOx9/WUTTUjPC6Vw3P\nkHIadnA9GdSMDjWjY9mOmyBpCiRNC6ICzJvMekwww0D2awiIqkJuMQ1yJoizzem6HmRqzEZE50Yx\nBhYjA7MIPk3Idd1IkfBsdcqNgym8iqIEwotSimPH0vPJ29ujD/3evXWsXRsTHDFLwnUJNm8WswpZ\nFhXmgPf1jUNR+Nu6lt8KXi8B+H9NeD0FrkHMLMTWixelaRgZqeLTn34l+IZNgBMTE8IC7eki7jFm\nk+FUuuJ+61sKAOoXXYdjWrEiqdx3dDgYSnGCRzs4R9HWRnDpUuiVf/NNW1hIfP68p6xblsfcI8L4\neHhfV6/2BN7ZsxXoehZAB4AaPKMsev8Nw8b589Ex5nLAgQNhWlg2G33m3v52I0EdOjycHPcrr6RH\nBuYSfI8DvoBN1ABtOsbBYmRgEbMB9sywFIlGo9GSI6oVJ1Sj0QjkajzCQDNNIq9mitIXNwhUHVTE\njiMpsIuhM+jkl/4q9rMMPa9DVqNqBFNctayG5duXQfcdXyxVSNYV2HVvrmPN11gEvxXHXRzTNQyG\nBqOUcS6RITuhDCduE+a4eLqQr9RTIh4/YysCAEcxYOnNI+ZxMBYg3ijg2YJkQ4dsRGU7MwD4SIEk\nilD9f388pbFMBSztcrL704rc5n8XFRAvSCyyCc0+mNVJKUWhUJhya/dWhDITXEwwx42No0fThQch\n8d8Ili+PvpgDA0mvLutYG0d3tw5ZkH9ZrTrYtInVDWgAVnG/XkO0ZjwHr3tts/MmAOJ80961/c53\njqJa9dI2WJfiYrGYeu1nqmSlKYUAAi5kVr/BC//du2UQ4iby/ZnHHACWLqW46y4HW7fa0HWgvR24\n/XaCzZvDMQ8Opt/f3t7oq1QqubjlluiEsWyZEokepBVhnzpVgSQRqCrBkSNeAYLjUGQyu+DdKxMi\nStHOzmSK0M03S5E6wSNHvGgAAKxapWLv3mSBQ1+fDcOIns+JExMYHk7ufz76AIiU9bkyDhaxiJmA\nFcanEVVMFXyqEYuUxTsQU07pp2kGAICQgk4GNMNbUiBKfeHBGwB63oBihAYAECqtSkzGUYfCtR3I\nqhQ4kFi/n9m4Xs0MA5amws8Ntu+pp74sbWitK+m8QeAoyYgAiwoE0QEBGno6hTj53lcj/8uqHBhU\nQKjsA2HXaaJrYedpVkTsRyXkbAbE70RMZBlyLhss8wX+/rDIPyEkSCWarJcBmwtqtdoNUTPgUfc2\nWeZzKPN6tDkAMwIajQZkWUY2m52WUJnMGGDUcI7jJBRetm2zyMD4eFKR2ru3gc5O74YXixLOnUsa\nA2++WROmk6xfb+LyZXHxU0cHExKrEaUPTRPwybFF0QYpYqUSyLKCcrmB//pfXwi4s1kTnflCXPBn\ns9ngXjD6yjfeqOPyZa/rcCV2eZlxcOedLioVipdekuC6Lup1rwh4zx6KY8co3vEOgrY2ikuX0nPV\nCwKZHu8HsXp11Pg7f158/yYmHGzYkMfOnW0RBXx8vAdht+FoyhMANBrJwvBr16L3tlQCbr7Zm5yW\nL4ewCZ7jAOvXJ0/otdfmL1VoKhAZB8yDyozEtJxV3phxHGexeHgR0wKLCABeF9NWDeRm806rqUYA\not2HY6kq1Oe4j/PfU0XstEn7HgDM9gwyHZkEX72iKxHFX/UbX7G/AGAUo+M68asfgGVZiXljtljE\n4oonm7Pr9ToqlUrQU6CuiJV1S83AVkw0tFywAH7aFIeEIaCJlWtbNWFz67optKJVLZR/a+8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VBMPeiMy4qLJU2BkjWxdPuaYD0aIyJw6unRc/Z+zpY8cGj0eteJN94aae161tQcXM5ry3L/ecOA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H++EvWwY89VR+/pBlCVgWi9OLenoIentD9PXJ7cyZY2Hv3mJDwjQB2x4LL87p9JEo/ALprray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\nTrvQzQsPLl2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OQoB77rHxtrdJPnblvR1qfnk9d/xMPLZf+MI8bNy4HAsXVpDtE1Cp5DUg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AxEYGAgOnfuDMC4eQaNDTS7ceMGFi5ciAMHDlCXB/smyATEE8pTNkYIeYNhGNy7dw9xcXE4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b08b7d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(14,6))\n",
    "\n",
    "# `ax` is a 3D-aware axis instance because of the projection='3d' keyword argument to add_subplot\n",
    "ax = fig.add_subplot(1, 2, 1, projection='3d')\n",
    "\n",
    "p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n",
    "\n",
    "# surface_plot with color grading and color bar\n",
    "ax = fig.add_subplot(1, 2, 2, projection='3d')\n",
    "p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=matplotlib.cm.coolwarm, linewidth=0, antialiased=False)\n",
    "cb = fig.colorbar(p, shrink=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Wire-frame plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+8Q8/DRuCpgksWaJgGDBsmItvv03/vKz3l+ga1MQgaXvY1+VyRSpFY8/RWmzS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1rg5KloT4eBNd96Hr7sDmCeLEff68yhdfRPL11zaKFjWoWdNg+3aZPXtkduwQvaEDB8RoR2ws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\ngAC1b98+Ro8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DwoVTAyWIUseQITaOH5dYskRh/foLFC7sYODACJKToWNHjRo1nDidkC2b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\nTIFAIBAIisH/B2np0VA4tUuuAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b078990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,6))\n",
    "\n",
    "ax = fig.add_subplot(1, 1, 1, projection='3d')\n",
    "\n",
    "p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Coutour plots with projections"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ja6H2Tmq//1uemnYLd99Zjs06MrZBf4O5b7q6kJ3KDMK2dJr/9XK3wdzqs6Su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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cc019d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(8,6))\n",
    "\n",
    "ax = fig.add_subplot(1,1,1, projection='3d')\n",
    "\n",
    "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
    "cset = ax.contour(X, Y, Z, zdir='z', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n",
    "cset = ax.contour(X, Y, Z, zdir='x', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n",
    "cset = ax.contour(X, Y, Z, zdir='y', offset=3*np.pi, cmap=matplotlib.cm.coolwarm)\n",
    "\n",
    "ax.set_xlim3d(-np.pi, 2*np.pi);\n",
    "ax.set_ylim3d(0, 3*np.pi);\n",
    "ax.set_zlim3d(-np.pi, 2*np.pi);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Change the view angle"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can change the perspective of a 3D plot using the `view_init` method, which takes two arguments: `elevation` and `azimuth` angle (in degrees):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AhmH2MlTZ0TTNVnxQKmo9qx+AujZA+VgE/btpmjVVpu3Y98iFIVeFqHerUWRbYS6Xa+i8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qAAAg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4naOje4Aab74pgCrBuyuJ2WylXq815NizDAw8gde7gEwmoVKpcePG35HJrKBUqhvAxkel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\nomZiQ0VERERERNRM/w9UsaLhw5XK0AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c859810>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,6))\n",
    "\n",
    "ax = fig.add_subplot(1,2,1, projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
    "ax.view_init(30, 45)\n",
    "\n",
    "ax = fig.add_subplot(1,2,2, projection='3d')\n",
    "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n",
    "ax.view_init(70, 30)\n",
    "\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Animations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib also includes a simple API for generating animations for sequences of figures. With the `FuncAnimation` function we can generate a movie file from sequences of figures. The function takes the following arguments: `fig`, a figure canvas, `func`, a function that we provide which updates the figure, `init_func`, a function we provide to setup the figure, `frame`, the number of frames to generate, and `blit`, which tells the animation function to only update parts of the frame which have changed (for smoother animations):\n",
    "\n",
    "    def init():\n",
    "        # setup figure\n",
    "\n",
    "    def update(frame_counter):\n",
    "        # update figure for new frame\n",
    "\n",
    "    anim = animation.FuncAnimation(fig, update, init_func=init, frames=200, blit=True)\n",
    "\n",
    "    anim.save('animation.mp4', fps=30) # fps = frames per second\n",
    "\n",
    "To use the animation features in matplotlib we first need to import the module `matplotlib.animation`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from matplotlib import animation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# solve the ode problem of the double compound pendulum again\n",
    "\n",
    "from scipy.integrate import odeint\n",
    "from numpy import cos, sin\n",
    "\n",
    "g = 9.82; L = 0.5; m = 0.1\n",
    "\n",
    "def dx(x, t):\n",
    "    x1, x2, x3, x4 = x[0], x[1], x[2], x[3]\n",
    "    \n",
    "    dx1 = 6.0/(m*L**2) * (2 * x3 - 3 * cos(x1-x2) * x4)/(16 - 9 * cos(x1-x2)**2)\n",
    "    dx2 = 6.0/(m*L**2) * (8 * x4 - 3 * cos(x1-x2) * x3)/(16 - 9 * cos(x1-x2)**2)\n",
    "    dx3 = -0.5 * m * L**2 * ( dx1 * dx2 * sin(x1-x2) + 3 * (g/L) * sin(x1))\n",
    "    dx4 = -0.5 * m * L**2 * (-dx1 * dx2 * sin(x1-x2) + (g/L) * sin(x2))\n",
    "    return [dx1, dx2, dx3, dx4]\n",
    "\n",
    "x0 = [np.pi/2, np.pi/2, 0, 0]  # initial state\n",
    "t = np.linspace(0, 10, 250) # time coordinates\n",
    "x = odeint(dx, x0, t)    # solve the ODE problem"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate an animation that shows the positions of the pendulums as a function of time:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fig, ax = plt.subplots(figsize=(5,5))\n",
    "\n",
    "ax.set_ylim([-1.5, 0.5])\n",
    "ax.set_xlim([1, -1])\n",
    "\n",
    "pendulum1, = ax.plot([], [], color=\"red\", lw=2)\n",
    "pendulum2, = ax.plot([], [], color=\"blue\", lw=2)\n",
    "\n",
    "def init():\n",
    "    pendulum1.set_data([], [])\n",
    "    pendulum2.set_data([], [])\n",
    "\n",
    "def update(n): \n",
    "    # n = frame counter\n",
    "    # calculate the positions of the pendulums\n",
    "    x1 = + L * sin(x[n, 0])\n",
    "    y1 = - L * cos(x[n, 0])\n",
    "    x2 = x1 + L * sin(x[n, 1])\n",
    "    y2 = y1 - L * cos(x[n, 1])\n",
    "    \n",
    "    # update the line data\n",
    "    pendulum1.set_data([0 ,x1], [0 ,y1])\n",
    "    pendulum2.set_data([x1,x2], [y1,y2])\n",
    "\n",
    "anim = animation.FuncAnimation(fig, update, init_func=init, frames=len(t), blit=True)\n",
    "\n",
    "# anim.save can be called in a few different ways, some which might or might not work\n",
    "# on different platforms and with different versions of matplotlib and video encoders\n",
    "#anim.save('animation.mp4', fps=20, extra_args=['-vcodec', 'libx264'], writer=animation.FFMpegWriter())\n",
    "#anim.save('animation.mp4', fps=20, extra_args=['-vcodec', 'libx264'])\n",
    "#anim.save('animation.mp4', fps=20, writer=\"ffmpeg\", codec=\"libx264\")\n",
    "anim.save('animation.mp4', fps=20, writer=\"avconv\", codec=\"libx264\")\n",
    "\n",
    "plt.close(fig)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note: To generate the movie file we need to have either `ffmpeg` or `avconv` installed. Install it on Ubuntu using:\n",
    "\n",
    "    $ sudo apt-get install ffmpeg\n",
    "\n",
    "or (newer versions)\n",
    "\n",
    "    $ sudo apt-get install libav-tools\n",
    "\n",
    "On MacOSX, try: \n",
    "\n",
    "    $ sudo port install ffmpeg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import HTML\n",
    "video = open(\"animation.mp4\", \"rb\").read()\n",
    "video_encoded = video.encode(\"base64\")\n",
    "video_tag = '<video controls alt=\"test\" src=\"data:video/x-m4v;base64,{0}\">'.format(video_encoded)\n",
    "HTML(video_tag)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Backends"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib has a number of \"backends\" which are responsible for rendering graphs. The different backends are able to generate graphics with different formats and display/event loops. There is a distinction between noninteractive backends (such as 'agg', 'svg', 'pdf', etc.) that are only used to generate image files (e.g. with the `savefig` function), and interactive backends (such as Qt4Agg, GTK, MaxOSX) that can display a GUI window for interactively exploring figures. \n",
    "\n",
    "A list of available backends are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[u'GTK', u'GTKAgg', u'GTKCairo', u'MacOSX', u'Qt4Agg', u'Qt5Agg', u'TkAgg', u'WX', u'WXAgg', u'CocoaAgg', u'GTK3Cairo', u'GTK3Agg', u'WebAgg', u'nbAgg', u'agg', u'cairo', u'emf', u'gdk', u'pdf', u'pgf', u'ps', u'svg', u'template']\n"
     ]
    }
   ],
   "source": [
    "print(matplotlib.rcsetup.all_backends)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The default backend, called `agg`, is based on a library for raster graphics which is great for generating raster formats like PNG.\n",
    "\n",
    "Normally we don't need to bother with changing the default backend; but sometimes it can be useful to switch to, for example, PDF or GTKCairo (if you are using Linux) to produce high-quality vector graphics instead of raster based graphics. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Generating SVG with the svg backend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#\n",
    "# RESTART THE NOTEBOOK: the matplotlib backend can only be selected before pylab is imported!\n",
    "# (e.g. Kernel > Restart)\n",
    "# \n",
    "import matplotlib\n",
    "matplotlib.use('svg')\n",
    "import matplotlib.pylab as plt\n",
    "import numpy\n",
    "from IPython.display import Image, SVG"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#\n",
    "# Now we are using the svg backend to produce SVG vector graphics\n",
    "#\n",
    "fig, ax = plt.subplots()\n",
    "t = numpy.linspace(0, 10, 100)\n",
    "ax.plot(t, numpy.cos(t)*numpy.sin(t))\n",
    "plt.savefig(\"test.svg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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   "source": [
    "#\n",
    "# Show the produced SVG file. \n",
    "#\n",
    "SVG(filename=\"test.svg\")"
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The IPython notebook inline backend"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we use IPython notebook it is convenient to use a matplotlib backend that outputs the graphics embedded in the notebook file. To activate this backend, somewhere in the beginning on the notebook, we add:\n",
    "\n",
    "    %matplotlib inline\n",
    "\n",
    "It is also possible to activate inline matplotlib plotting with:\n",
    "\n",
    "    %pylab inline\n",
    "\n",
    "The difference is that `%pylab inline` imports a number of packages into the global address space (scipy, numpy), while `%matplotlib inline` only sets up inline plotting. In new notebooks created for IPython 1.0+, I would recommend using `%matplotlib inline`, since it is tidier and you have more control over which packages are imported and how. Commonly, scipy and numpy are imported separately with:\n",
    "\n",
    "    import numpy as np\n",
    "    import scipy as sp\n",
    "    import matplotlib.pyplot as plt"
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  {
   "cell_type": "markdown",
   "metadata": {},
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    "The inline backend has a number of configuration options that can be set by using the IPython magic command `%config` to update settings in `InlineBackend`. For example, we can switch to SVG figures or higher resolution figures with either:\n",
    "\n",
    "    %config InlineBackend.figure_format='svg'\n",
    "     \n",
    "or:\n",
    "\n",
    "    %config InlineBackend.figure_format='retina'\n",
    "    \n",
    "For more information, type:\n",
    "\n",
    "    %config InlineBackend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format='svg'\n",
    "\n",
    "import matplotlib.pylab as plt\n",
    "import numpy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
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   "source": [
    "#\n",
    "# Now we are using the SVG vector graphics displaced inline in the notebook\n",
    "#\n",
    "fig, ax = plt.subplots()\n",
    "t = numpy.linspace(0, 10, 100)\n",
    "ax.plot(t, numpy.cos(t)*numpy.sin(t))\n",
    "plt.savefig(\"test.svg\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Interactive backend (this makes more sense in a python script file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#\n",
    "# RESTART THE NOTEBOOK: the matplotlib backend can only be selected before pylab is imported!\n",
    "# (e.g. Kernel > Restart)\n",
    "# \n",
    "import matplotlib\n",
    "matplotlib.use('Qt4Agg') # or for example MacOSX\n",
    "import matplotlib.pylab as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Now, open an interactive plot window with the Qt4Agg backend\n",
    "fig, ax = plt.subplots()\n",
    "t = np.linspace(0, 10, 100)\n",
    "ax.plot(t, np.cos(t) * np.sin(t))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that when we use an interactive backend, we must call `plt.show()` to make the figure appear on the screen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Further reading"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* http://www.matplotlib.org - The project web page for matplotlib.\n",
    "* https://github.com/matplotlib/matplotlib - The source code for matplotlib.\n",
    "* http://matplotlib.org/gallery.html - A large gallery showcaseing various types of plots matplotlib can create. Highly recommended! \n",
    "* http://www.loria.fr/~rougier/teaching/matplotlib - A good matplotlib tutorial.\n",
    "* http://scipy-lectures.github.io/matplotlib/matplotlib.html - Another good matplotlib reference.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Versions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
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   "outputs": [
    {
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         "module": "OS",
         "version": "Darwin 14.1.0 x86_64 i386 64bit"
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         "module": "numpy",
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         "module": "scipy",
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         "module": "matplotlib",
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      "text/latex": [
       "\\begin{tabular}{|l|l|}\\hline\n",
       "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n",
       "Python & 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)] \\\\ \\hline\n",
       "IPython & 3.2.1 \\\\ \\hline\n",
       "OS & Darwin 14.1.0 x86\\_64 i386 64bit \\\\ \\hline\n",
       "numpy & 1.9.2 \\\\ \\hline\n",
       "scipy & 0.16.0 \\\\ \\hline\n",
       "matplotlib & 1.4.3 \\\\ \\hline\n",
       "\\hline \\multicolumn{2}{|l|}{Sat Aug 15 11:30:23 2015 JST} \\\\ \\hline\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "Software versions\n",
       "Python 2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]\n",
       "IPython 3.2.1\n",
       "OS Darwin 14.1.0 x86_64 i386 64bit\n",
       "numpy 1.9.2\n",
       "scipy 0.16.0\n",
       "matplotlib 1.4.3\n",
       "Sat Aug 15 11:30:23 2015 JST"
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     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%reload_ext version_information\n",
    "%version_information numpy, scipy, matplotlib"
   ]
  }
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