ch02-figures.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 2: Figures"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Robert Johansson\n",
    "\n",
    "Source code listings for [Numerical Python - A Practical Techniques Approach for Industry](http://www.apress.com/9781484205549) (ISBN 978-1-484205-54-9).\n",
    "\n",
    "The source code listings can be downloaded from http://www.apress.com/9781484205549"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format='retina'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def show_array(shape, sel, filename=None):\n",
    "    \"\"\"Visualize indexing of arrays\"\"\"\n",
    "\n",
    "    data = np.zeros(shape)\n",
    "    exec(\"data[%s] = 1\" % sel)\n",
    "\n",
    "    fig, ax = plt.subplots(1, 1, figsize=shape)\n",
    "\n",
    "    ax.patch.set_facecolor('black')\n",
    "    ax.set_aspect('equal', 'box')\n",
    "    ax.xaxis.set_major_locator(plt.NullLocator())\n",
    "    ax.yaxis.set_major_locator(plt.NullLocator())\n",
    "\n",
    "    size = 0.97\n",
    "    for (m, n), w in np.ndenumerate(data):\n",
    "        color = '#1199ff' if w > 0 else '#eeeeee'\n",
    "        rect = plt.Rectangle([n - size / 2, m - size / 2],\n",
    "                             size, size,\n",
    "                             facecolor=color,\n",
    "                             edgecolor=color)\n",
    "        ax.add_patch(rect)\n",
    "        ax.text(m, n, \"(%d, %d)\" % (n, m), ha='center', va='center', fontsize=12)\n",
    "        \n",
    "    ax.autoscale_view()\n",
    "    ax.invert_yaxis()\n",
    "\n",
    "    if sel == \":, :\":\n",
    "        ax.set_title(\"data\\n\", fontsize=12)\n",
    "    else:\n",
    "        ax.set_title(\"data[%s]\\n\" % sel, fontsize=12)\n",
    "    \n",
    "    #fig.tight_layout()\n",
    "    \n",
    "    if filename:\n",
    "        fig.savefig(filename + \".png\", dpi=200)\n",
    "        fig.savefig(filename + \".svg\")\n",
    "        fig.savefig(filename + \".pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdsAAAITCAYAAABPKbZwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104514d10>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 237
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \":, :\", \"array_indexing_1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdsAAAITCAYAAABPKbZwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4awHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106e68f10>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 237
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \"0\", \"array_indexing_2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdsAAAITCAYAAABPKbZwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nsIyyBQDAMsoWAADL/j9zkzosZZZTkQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108aa9910>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 237
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \"1, :\", \"array_indexing_3\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdsAAAITCAYAAABPKbZwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nsW/z178AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108e0e6d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 237
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \":, 2\", \"array_indexing_4\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdsAAAITCAYAAABPKbZwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109026290>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 237
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \"0:2, 0:2\", \"array_indexing_5\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdsAAAITCAYAAABPKbZwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUbYAABijbAEAMEbZAgBg7CeWWcbpoXmdjQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109222f90>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 237
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \"0:2, 2:4\", \"array_indexing_6\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdsAAAITCAYAAABPKbZwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njFG2AAAYo2wBADBG2QIAYIyyBQDA2D+nIzT7ZpHF0QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109425e50>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 237
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \"::2, ::2\", \"array_indexing_7\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdsAAAITCAYAAABPKbZwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109637ad0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 237
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \"1::2, 1::2\", \"array_indexing_8\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdsAAAITCAYAAABPKbZwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109949250>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 237
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \":,[0,3]\", \"array_indexing_9\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdsAAAITCAYAAABPKbZwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAWJQAAFiUBSVIk8AAAIABJREFUeJzs3Xt8VOW97/HPkwsQhlxINIiAF0CCWKWAlIugyOlBVJCr\nHKXW6K7bjVAPtm6PsE+9dLPV0hatbu3epbrdalUqxrOLlKJUoZaUiErQFtkokQCJhlsgkBAIk3nO\nHysTApkJJMyTufh9v155JZl5njXP5JeZ71prnrWWsdYiIiIi7iRFewAiIiKJTmErIiLimMJWRETE\nMYWtiIiIYwpbERERxxS2IiIijilsRUREHFPYioiIOKawFRERcUxhKyIi4pjCVkRExDGFrYiIiGMK\nWxEREccUtiIiIo4pbMUpY0yg4eu8aI/ldBhj1jQZc/DrqpPa3BaizfPRGnNrGWN+EWL8+a1cRmmI\nZcRLjbNCjH1biHb/dar/BZHTlRLtAcjXQsQummyMuQ04H/gva+3HkVpuCFVAbcPPR8O0OQbsa/j5\nwMl3GmO6AGOBocDlDd+zG+7ub639rK2DM8ZcDYxvWOYFQC7e63kXsB74D2vtH8J0rwIqGn7OAVJp\ne40qgbqGn+tbGO+NwF3AQCAN2A68Diy01la39kGNMZlAPvAt4DKgG97ftgb4HFgB/Ku1dm+I7gG8\nv5MFOjT0C/X8Kzn+d8oFTJh2IqdmrdWXvpx94b2x1QPnRWh5axqWeauj8Z5y+cBtDW3ePcWyJje0\nO/mrHuh3huNcedLy9uOtHNQ3uf0lIMnF3xMobeh35Wm0XdxkTEfxwj74+1agexue//CTnv8RvBWf\nps9/LzD8FMu5qqHtF5F6vvrSV6gv7UYWcccCu4HfAw8Dd0Zw2SuBWcAlQJq1tqu1Ng3oD7zQ0OY7\nwJwIPmarGWPuAu7AC8F/BLpYazOBK/C2bnsDr7Vh0XuBx4BrgW7W2k7W2hzAB9wEfIW3xVpgjOnY\n0hDb8NgirabdyBKv4uFN8k1r7e+CvxhjLojUgq21vwhz++fA7caY3sBovOD510g9bms0hNzDDb8+\naa19PHiftXadMWYK8BFwhTFmgrV2+eku21q7Ffi/IW4/ArxmjNkL/BE4B7gSWNXmJyISAdqylTNi\njEkyxtxtjPnYGFNrjNljjFlmjBneQp8OxpgbjTEvNvTba4w5YozZboz5jTFmcIg+txljAnhvnADP\ntzTBxRhzpTHmSWPM+8aYL40xdcaY3caYPxhjpkX2rxCatTbQHo8TxkcN37tEcQzfBs7G2/266OQ7\nrbUb8QIRvK3wSPqw4bshun8DEUBbtnIGjDEpeJNcbmi46RjeCtwEYLwx5qYwXccBv234OYA3uage\n6AnMBGYYY/7OWvubJn0O401qycab0NN0AhN4u2uD4+qC91kkeLtyD+FNnMkBrgGuMcYsttbOauVT\njgvGGIP3mSbAB1EcytUN3/9mrf0qTJu3gP/ZpG2kjGz47gc2RHjZIq2mLVs5E/fjBW3w87jMhs/N\neuNtsTwXpt8h4Em83ZxdrLVnWWt9eLNqf4G3ErjYGNMr2MFa+5q1tjuwruGmudbac5t8DWuy/Hpg\nKd4EpRxrbZa1titeUH8fqAbuNMZMP/M/QewwxmQaY76FtyIzHPiS47txo2FAw/dNLbT5tOH72caY\n7BbanZIxJsUY09MYcwfwIt6K1k+stdvPZLkikaAtW2kTY4wPL2wBFpz0eVypMWYy3hZF5sl9rbV/\nAv4U4vadwA+NMRnA3wG3A//c2rFZa2uB/xXi9irgl8aYg3hvxrPxtszjljFmFPDeSTfX4K3MPGat\n3d28V7vp3vD9yxbaNN3i7Y53uE2rGGP+iHeIVVPvA3dZawtauzwRF7RlK201Du+zsCPAEyffaa2t\nA37exmUHJ8qMbLFV2wWXP6xhl2s8O4q3e70Cb5epxZuROwr4RhTHRcM44MTd/Sc73OTntn62ug/v\n+R/g+HGwA4AxxphObVymSEQpbKWtgpOYNlprD4Vp02zrNcgYk22MecAY8xdjzD5jjD842Ql4o6HZ\nuW0dXMMuxe8ZY1YaY74yxhxtsvzg1lMnoGtbHyMWWGs/sNZ2t9aei/d8BgPLgCHASmPMtVEdYDuw\n1v6vho8SsoGz8E6ecRTvsKe3EmCFShKAdiNLW53d8L2lXYQh7zPGDADexTsrDxyfxFTLiWf18YXq\nfyoNE6TeAkY0WX4t3okfgjOEz2n47qMNuy5jUcPs54+BycaYpcA0vL0O4c4k5VpNw/e0Ftp0bvJz\nq88kdTJr7X7gV8aY9/Emh40GbgZeOdNli5wJbdlKNDyPF7Qf4c0OTm+YxBTcQpvR0K6tWyQP4AXt\nHuBWvJMedLHWntOw/J5N2ibqVs/TDd8vajrRrJ0FV7Za2kPR9L5wM5ZbreGworUNv/6PSC1XpK0U\nttJWexq+n+4bKQANJ6sfivf54g3W2lXW2sMnNTvn5H6tdGPD97uttb+xzc+Pe6bLjwdN9yp0D9vK\nreAs5JY+Ow7OWN5jrY30Hobg3yBaz1+kkcJW2ip40oRvGmPSw7QJdYWU4FblnhaOvfx2C48b3A3c\n0hZpT7xdx8VtWH6iuLDJz9Gakby64fsAY0y4FZxxDd/fcfD4wb9BNGdkiwAKW2m7t4GDeJNy5p58\npzGmA3BviH7Bq+N0M8acffKdxphL8U5sEc7Bhu8tTWyqwgvjy0IsvwshTvMXT4wxyae4Pwn4YcOv\n26y1pc4HFdo7eEGXTIj/BWPMQLwVHwu83JoFn8bfYDTHT+zhIshFWkVhK23SsOv3pw2/PmSM+UHw\nMIuGcwD/P078bDRoM1CG97/3W2NMn4Y+qcaYqXjnsA03uxngbw3fpzYcjxvK2w3fHzfGBE/viDFm\nKN4b7xmdPKE1jDFnBb84cQWha9P7Qs2YbXIqyodOumu0MeZdY8yMpissDTOwR+JdXm4cXog9eAZj\nD17bd/WpWzfXcPjXww2//sAY88OGlTCMMSPw/kcMUGitXRHi8R9uMoP8ZK8bY/7FGDPIGJPapE+u\nMWYuxw/v+hRNjpIYoLCVM7EQ+B3elssi4JAxZj/wBd4Wy+0N7RqDxFprgf+Ntzt4DPB5w0kmqvFO\nMFEL3NPCY76Ed/3UUcA+Y0y58S5k/ucmbX6Ed1WYXsAa452zuRrvRAeX4M1OPWFcDu1u8hXc9W7w\nzoTV9L6WJjGdfA1Vi/e3WwLsMsZUG2P24B2zuhYvaOuA+6y1kQiaNl/D1Vr778Cv8d5rfg5UG2MO\nAYV4Zwwr4fiEuNY8fhbwT3h/09qGw8eC1+l9AkjHm5k93lob9jq7Iu1FYStt1vAmNg0vPD/Be4M/\nhrdVcZW19r+CTU/q9194Z/xZhbdbOBnYBvwMGIS35RvuMbfgnUt3Jd6hPLl4QdWjSZtteBcV/w3e\nCR8M3uE9vwGGWmuDJ79vrwuB29P4OoExpnuTvief3/gjvAunvwj8Fe8Qmwy8FZaP8FZ8Lm16Vq82\nCo7hjM6vbK39B7wzeq3Gq3cS3h6OfwG+aa2tCNM1+PgfhrjvH4Ef450DewfQEe9Qxp14K4DfBS63\n1ob9XxJpTzrOVs5Iw7GdT3P8UJOT7w+5QmetfY/mpxkM+hMtrAhaa/8M/Dnc/Q1tSvEO+wl3f7us\naJ7B4wQnl31krT3hOFlrbTXeFv5LZzK2ljRMaLoIL8h/dqbLs9YuxTtfdWsE/wY/DrG8jzi+p+BM\ntNcKl3zNactWJLRoH38bNmja+fH/PcShU005+TsZY7oB/fBWNpp9nhvJh3K4bJFGCluR0JpeLzfU\nIUzgnXs32Ob5CD/+aGCDtfb3EV4uxphfNJl4dGWYZqPxPgM+1Vbt6iZ/g/MiOMwr8bY6W30hilMx\nxmQ1ef7vttDuv5q0i+Rzk68h7UYWOVHwpPZNHT3p9+C1dZvugjxABFlrXV5EIDiRqKkTLhZgrf0+\n3uUIw9mNd1rNpiI2EamNu51PV4Dm9dsTol0lzf9OdY7GJAnOeJNDRURExBXtRhYREXFMYSsiIuKY\nwlZERMQxha2IiIhjClsRERHHFLYiIiKOKWxFREQcU9iKiIg4prAVERFxTGErIiLimMJWRETEMYWt\niIiIYwpbERERxxS2IiIijilsRUREHFPYioiIOKawFRERcUxhKyIi4pjCVkRExDGFrYiIiGMKWxER\nEccUtiIiIo4pbEVERBxT2IqIiDimsBUREXFMYSsiIuKYwlZERMQxha2IiIhjClsRERHHFLYiIiKO\npbSlkzHGRnogIiIi8cBaa1rbR1u2IiIijrVpyzaosrIyUuOQdpKdnQ2odvEsOztb9Ytjeg3Gr2Dt\n2kJbtiIiIo4pbEVERBxT2IqIiDimsBUREXFMYSsiIuKYwlZERMQxha2IiIhjClsRERHHFLYiIiKO\nKWxFREQcU9iKiIg4prAVERFxTGErIiLimMJWRETEMYWtiIiIYwpbERERxxS2IiIijilsRUREHFPY\nioiIOKawFRERcUxhKyIi4pjCVkRExDGFrYiIiGMKWxEREccUtiIiIo4pbEVERBxT2IqIiDimsBUR\nEXFMYSsiIuKYwlZERMQxha2IiIhjClsRERHHFLYiIiKOKWxFREQcU9iKiIg4prAVERFxTGErIiLi\nmMJWRETEMYWtiIiIYwpbERERxxS2IiIijilsRUREHIursB0/fjy5ubmUlpZGeyhnzFrL8OHDOe+8\n89i9e3e0h9MuVL/4pxrGN9UveuImbJctW8YHH3zAjBkzuOCCC0K2qaur46mnnuLKK6+kV69eXHDB\nBVxzzTW88MILzsdXXFzM9773PQYMGED37t259NJLmTt3Ltu2bQvZ3hjDfffdR01NDQsXLnQ+vmiL\n1fqVl5ezdOlS5s+fz/jx4+nZsyc5OTlcfPHFLfb7utUPYreGGzdu5NFHH2XixIn069eP3Nxcevfu\nzfXXX8/ixYs5evRoyH5ftxrGav1WrFjB/Pnzufbaa7nsssvo0aMHPXr0YMiQIcyePZv169eH7Bdv\n9TPW2tZ3MsYCVFZWRnxAofj9fkaOHElpaSnr168P+Y9y8OBBJk+ezMcffwyAz+fD7/c3vtCuueYa\nXnrpJZKTkyM+vldffZW5c+dSX19PUlIS6enpHDx4EGstPp+Pl19+mdGjRzfrF1wzKy0tpbCwkL59\n+0Z8bCfLzs4G2q92ENv1mz9/PosXL252e7du3fj0009b7BuN+oFXw/asH8RuDZcuXcqsWbMaf09O\nTiY9PZ2qqiqC7215eXkUFBTQvXv3Zv31GjwuWq/BYcOGsXXrVsAL0MzMTGpqavD7/Y01nDt3Lg8+\n+GCzvu1dv2DtrLWmtX3jYst25cqVlJSUMHr06LBrZPfccw8ff/wx2dnZLFmyhB07dlBWVsYzzzxD\np06deOutt/jJT34S8bFt2rSJe+65h/r6embMmMGWLVv44osv2LhxI2PGjKGmpob8/Hz27dvXrK8x\nhpkzZ+L3+0O+4SeKWK5fUlISvXv3ZurUqSxYsIDZs2efdt+vS/0gdmvo9/vx+Xzk5+ezbNkyysvL\nKSkpobS0lIULF+Lz+diyZQv5+fkh+39dahir9QOYMmUKTz/9NB9++CEVFRWUlJRQUVHBmjVrGDdu\nHABPPvkkK1eubNY3nuoXF1u2N954I++++y7PPPMMN910U7P7P/nkE66++mqMMbz88stcc801J9z/\nq1/9in/6p38iLS2NjRs3ctZZZ0VsbLfccgt/+MMfGDRoEKtWrcKY4ys8NTU1jBgxgvLycmbPns2C\nBQua9S8rK2PgwIFkZmayadMm0tLSIja2UKKxVh3L9QsEAiQlHV/nfOWVV7j77rtPa8sW2r9+EJ0t\n21itYUlJCZmZmWGXt2TJEubMmQPAm2++yciRI5u10Wswuq/Blhw7dqxxy3XatGkhA7U965fQW7Zf\nfvklq1evJiUlhQkTJoRs8/rrrwPQt2/fZv8kAPn5+aSnp1NbW8vy5csjNraqqipWrVoFwOzZs08I\nWvB2w9x+++0AvPHGGyGX0bNnTy6//HKqqqoiOrZYEcv1A04I2rZI9PpBbNewT58+Lb7xT58+ndTU\nVIDG3aMnS/QaxnL9TiU1NZVLLrkE8DZeQomX+sV82K5duxZrLXl5eXTp0iVsG4Crr7465P2dOnVq\nXKN97733Ija2oqIi/H4/xhjGjh0bsk3w9l27drFly5aQbYYOHQrAmjVrIja2WBHL9YuURK4fxHcN\nU1JSGsdcX18ftl0i1zCe63fkyBE++eQTAAYNGhS2XTzUL+bDdt26dUD4P7S1ls8//xyA/v37h11O\nXl4eAJ999lnExhYMz27dupGVlRWyTb9+/Zq1P9ngwYMBL7wTTSzXL1ISuX4Q3zXcvHkz+/fvB2hx\nhnki1zAe67d//37Wrl3LzTffzM6dO8nLy+Ouu+4K2z4e6hfzYRtcqwkW+mSHDh3i8OHDGGNCzjYM\n6tatG+BtYUZKRUUFAOecc07YNmlpaWRkZGCtDXssWPAffPv27VRVVUVsfLEglusXKYlcP4jvGj76\n6KMA9OrVi6uuuipsu0SuYbzU77XXXiMnJ4ecnBz69u3LpEmT2LRpE/feey+rVq3C5/OF7RsP9Yv5\nsA0GVNeuXUPe33Q/fqdOncIuJ/ihebj9/m1x+PDhUz4uQOfOnVt87KZbxXv27InQ6GJDLNcvUhK5\nfhC/NXzhhRdYsWIFxhgeeeQRUlJSwrZN5BrGS/3S0tLIzc0lNzeX5ORkjDFUVlZSVFQU9nwFQfFQ\nv5gP2+CMvXC7aRNB0xfB3r17oziSyFP94l881rCwsJB58+YBcMcdd3D99de32D6Raxgv9Zs4cSKb\nN29m8+bNlJeXs3z5coYNG0ZhYSHXXXcdf/3rX8P2jYf6xXzYnkrTXQtHjhwJ2662trZZ+zMV3GJt\n6XHh+BZwJB87UUSzfhIZsVbD4uJiZs6cSV1dHRMmTOCxxx5z+njxLtbqB94s5OHDh7Ns2TKGDBlC\nTU0NDz30kPPHdSnmwzZ4XFNwksPJ0tPT6dy5M9Zavvrqq7DLCX6+GvzcIRKCn28Elx1KbW0tBw8e\nbPGxmz639jp+rb3Ecv0iJZHrB/FVw02bNjF9+nSqq6sZO3Yszz33XLND8kJJ5BrGU/1Olpyc3Hj4\n5Lp16wh3Xoh4qF/Mh21ubi4Q/gBwY0zjB/+bN28Ou5zgTOBwkwTaIvih/K5du8L+Iwcft+k4T3bg\nwIHGn88+++yIjS8WxHL9IiWR6wfxU8PPPvuMqVOncuDAAUaOHMlLL73U4ue0TSVyDeOlfuEEJ6Ae\nO3Ys7C7ieKhfzIftwIEDgZb/CUaNGgWEP8bqyJEjjdPfr7zyyoiNbdiwYaSkpGCtDfvYq1evBrx/\nmKaHATUVfG7nn38+mZmZERtfLIjl+kVKItcP4qOG27ZtY8qUKezdu5fBgwezZMmSU05cbCqRaxgP\n9WvJ9u3bAW8rN9wkr3ioX8yH7YgRIwDvc5hwpk2bBsDnn3/O22+/3ez+F198kUOHDtG5c+ewZ1Bp\ni4yMjMZzd/7yl79stoujpqaG559//oQxhvLRRx8Bx59rIonl+kVKItcPYr+GZWVlTJ48mYqKCi69\n9FIKCgpa/bliItcwluvX0olGwPsY7tlnnwW85xFuT0U81C/mw3bUqFEYY9i6desJuwqauvTSS5k8\neTIAc+bMaTyFYn19PUuWLOHHP/4xALNmzSInJ6dZ/4kTJ5KTk8MNN9zQ6vHNmzeP1NRUNmzYwJw5\ncxp31ZSVlXHrrbdSXl5OVlYWc+fODbuM4CWkxowZ0+rHj3WxXj+/38++ffsav4KHNVhrqaysbLy9\npWP3Erl+ENs13LNnD1OnTqWsrIz+/ftTUFBARkZGq5YBiV3DWK7fa6+9xne/+13efvvtE8Z29OhR\nVq9e3ThDOTk5mfvvvz/scuKhfqf3gUYUde/enbFjx/LOO+/wu9/9LuzVO37xi19QWlrKxo0buemm\nm0hLS6O+vp66ujrAu2jy/PnzW3ys05lIcbJLLrmEX/ziF8ydO5ff/va3/Pa3vyU9PZ1Dhw4B3sy9\nF154oXGSwsl27NhBcXExmZmZMbnVdqZivX5FRUVMmjSp2e27d+/moosuavy9V69ebNy4sVm7RK8f\nxHYNn3/+eUpKSgDv2sRXXHFF2LZTpkwJOTM50WsYy/UD73q2K1asALz3yw4dOlBVVUUgEGi87Ykn\nngi71Rov9Yv5LVug8Z+joKAgbJv09HRWrlzJQw89xDe+8Q2SkpLo1KkTQ4cO5YknnuDll18Oe9L5\n4BlRWjr3Zktuuukm3nrrLSZPnsw555xDXV0dPXv25JZbbuG9995r/DwklOBzuvHGG1v1GVM8ieX6\nBd8cjDGn/Arl61A/iN0aBj+6McZQXV3N3r17w34FV4BP9nWoYazWb9y4cSxatIhJkybRr18/OnTo\nQHV1NVlZWQwdOpT77ruP999/v8WP4eKlfnFxib36+npGjBjBtm3bKCoqok+fPhFb9q5duxgwYAA+\nn4/i4uKQu0hcCQQCDB8+nB07dlBYWBjR5xVONC7vpfpFVjQusacaRo5eg5HT3vVL6EvsgTcL7YEH\nHiAQCPD4449HdNmFhYUA3Hbbbe36TwLeZfdKSkq45ZZb2u2NOhpUv/inGsY31S/64iJswfsAfujQ\nobz++uuUlpZGbLlFRUV07tyZu+++O2LLPB3WWhYtWoTP52vxg/9EofrFP9Uwvql+0RUXu5ElcqKx\nC0siKxq7kSVy9BqMXwm/G1lERCSeKWxFREQcU9iKiIg4prAVERFxTGErIiLimMJWRETEMYWtiIiI\nYwpbERERxxS2IiIijilsRUREHFPYioiIOKawFRERcUxhKyIi4pjCVkRExDGFrYiIiGMKWxEREccU\ntiIiIo4pbEVERBxT2IqIiDimsBUREXFMYSsiIuKYwlZERMQxha2IiIhjClsRERHHFLYiIiKOKWxF\nREQcU9iKiIg4prAVERFxTGErIiLimMJWRETEMYWtiIiIYwpbERERxxS2IiIijilsRUREHFPYioiI\nOKawFRERcUxhKyIi4pjCVkRExDGFrYiIiGMKWxEREccUtiIiIo4pbEVERBxT2IqIiDhmrLWt72RM\n6zuJiIgkAGutaW0fbdmKiIg4lnImnbv+Shu48Wb/P3grZJWVlVEeibRVdna26hfHsrOzAb0G41Gw\ndm2hLVsRERHHFLYiIiKOKWxFREQcU9iKiIg4prAVERFxTGErIiLimMJWRETEMYWtiIiIYwpbERER\nxxS2IiIijilsRUREHFPYioiIOKawFRERcUxhKyIi4pjCVkRExDGFrYiIiGMKWxEREccUtiIiIo4p\nbEVERBxT2IqIiDimsBUREXFMYSsiIuKYwlZERMQxha2IiIhjClsRERHHFLYiIiKOKWxFREQcU9iK\niIg4prAVERFxTGErIiLimMJWRETEMYWtiIiIYwpbERERxxS2IiIijilsRUREHFPYioiIOKawFRER\ncUxhKyIi4pjCVkRExDGFrYiIiGMKWxEREccUtiIiIo4pbEVERByLq7A9+NMr2H9XKvV7voj2UM6Y\ntZaqhwew/3+nEzi4K9rDaRfjx48nNzeX0tLSaA/ljFlrGT58OOeddx67d++O9nDajWoY31S/6Imb\nsK3bUED9F+voMPy7JJ/d+4T7rLUc27KaI2/9lOrFM6j6pwvZPyuJ/bOSOPrer9plfP7SD6n+9U0c\n+D/nsn9OJw7MO4+al/6e+j0lIdsbY0i77gGoq6H2zYfbZYzRtGzZMj744ANmzJjBBRdccMJ91lr+\n/Oc/89RTT3H77bfzzW9+k5ycHHJycvjP//xPp+MqLy9n6dKlzJ8/n/Hjx9OzZ09ycnK4+OKLW+xn\njOG+++6jpqaGhQsXOh1jrIjVGm7cuJFHH32UiRMn0q9fP3Jzc+nduzfXX389ixcv5ujRoyH7fd1q\nGKv1W7FiBfPnz+faa6/lsssuo0ePHvTo0YMhQ4Ywe/Zs1q9fH7JfvNXPWGtb38kYC9D1V63v2xa2\n3s/BH19CYM8XZPzzlmZhGzh8gKofZofs23nmv9Pxyjudju/ouhc4/OIdYOvBJGE6ZWBrqwALHXx0\nmbOM1Lyrm/Wz1nLwoYsJ7P2CjIf+RnK3fk7HCbD/HwwAlZWVzh8ryO/3M3LkSEpLS1m/fn2zF3pV\nVRW9e/cO2XfRokXcdtttzsY2f/58Fi9e3Oz2bt268emnn7bYN7hmXVpaSmFhIX379nU1zBNkZ2e3\na/0gdmu4dOlSZs2a1fh7cnIy6enpVFVVEXxvy8vLo6CggO7duzfrH40aZmd771V6DXqGDRvG1q1b\nAS9AMzMzqampwe/3N9Zw7ty5PPjgg836tnf9grWz1prW9o2LLdtjn7xJYPfnpPQf2yxoG3XwkXLR\nlXT89g/xfe8VTMY57TI2f9knHH7p78HW02HYLWT+bBdZT1SS+eg2Ui7+n1BXQ82/TyNQvbdZX2MM\nHUfeDgE/R999ql3GGw0rV66kpKSE0aNHN3uRB/l8PkaOHMns2bNZvHgx3bp1a5exJSUl0bt3b6ZO\nncqCBQuYPXv2afc1xjBz5kz8fn/IwE4ksVpDv9+Pz+cjPz+fZcuWUV5eTklJCaWlpSxcuBCfz8eW\nLVvIz88P2f/rUsNYrR/AlClTePrpp/nwww+pqKigpKSEiooK1qxZw7hx4wB48sknWblyZbO+8VS/\nuAjbo3/2/ogdvvWdkPcndc6i61OHSL93DZ2n/5wOQ2/CpHRol7EdWfYgBPwknz+Uzre9QFKXHG9M\n2efRZdYbJHXtha09wJGVPwnZv8O3ZgJQt/4VbF1tu4y5vb3wwgsA3HjjjSHvz8zMZMeOHbz55pss\nWLCAadOmkZqa2i5jW7BgAR988AG//vWvmT179il3H59s2rRpALz++uvU1iZm/SB2a/itb32LDRs2\n8Pjjj3PFFVc0PmaXLl244447+OlPfwrARx99xF/+8peQy/g61DBW6wcwb948br75Zi688EJSUlIa\nb//GN74GRRnPAAAgAElEQVTBiy++2Lhy8MYbb4TsHy/1i/mwDewvx//p25CUQodBU6M9nBMEDh/g\n2N9WANDp2z/EmBP3LJiOPjpc6e3iqvvg1ZDLSMruRfKFw7G1B6grDv3PFM++/PJLVq9eTUpKChMm\nTIj2cJpJSjqzl0DPnj25/PLLqaqqYvny5REaVWyJ5Rr26dOHs846K+z906dPbwyNjz/+OGSbRK9h\nLNfvVFJTU7nkkksAqKmpCdkmXuoX82F7bMtqwJLcfQCmU5doD+cE/q1rIeAHDCkDxoVsk3rJNQDY\nqgrqv9ocsk1K7xHe8jb/0ck4o2nt2rVYa8nLy6NLl9iqX6QMHToUgDVr1kR3II7Ecw1TUlIax1xf\nXx+2XSLXMJ7rd+TIET755BMABg0aFLZdPNQv5sPWv/XPACRfMDTKI2ku8JU3gcZknkOSr2vINsnn\nHN8tWf9V6Ak3KRd8Czj+XBPJunXrgJZfKPFu8ODBABQVFUV5JG7Ecw03b97M/v37AVr8iCCRaxiP\n9du/fz9r167l5ptvZufOneTl5XHXXXeFbR8P9Yv5sK3fsQGA5O4DojyS5gJVXwGQlHlu2DamQxom\nLROwBKoqQrZJPtfbTRLYu43A4QMRH2c0BddK8/LyojwSd/r37w/A9u3bqaqqivJoIi+ea/joo48C\n0KtXL6666qqw7RK5hvFSv9dee63xcKO+ffsyadIkNm3axL333suqVavw+Xxh+8ZD/WI+bIMnfDC+\n0If2RJM96n2GYFLTWm7YobP3/Wh1yLtN5+NbxfZQ7B+c3RrBg827dg295Z8IsrKyGn/es2dPFEfi\nRrzW8IUXXmDFihUYY3jkkUdOmHxzskSuYbzULy0tjdzcXHJzc0lOTsYYQ2VlJUVFRWzbtq3FvvFQ\nv5gPW9twyEzTQEo0TVck7KHY/Edpq+CxhE1fDImm6ZvY3r3ND/GKd/FYw8LCQubNmwfAHXfcwfXX\nX99i+0SuYbzUb+LEiWzevJnNmzdTXl7O8uXLGTZsGIWFhVx33XX89a9/Dds3HuoX82Eby0xHb7eG\nPXaK6eZ1h73vHeNrcoJIPCouLmbmzJnU1dUxYcIEHnvssWgPSVopNTWV4cOHs2zZMoYMGUJNTQ0P\nPfRQtId1RmI+bE0Xb1q/rWnfM+acjqSsHgAEqr4M28bW1TacTQqSMpufwQZOfG4m/ewIjjD6gmdc\nCU5SSURNn1tLh6HEq3iq4aZNm5g+fTrV1dWMHTuW5557rtkheaEkcg3jqX4nS05O5vbbbwe8iV7h\nzngYD/WL+bBNyvDOYmJr9kV5JM0FJ23ZqgoCYVYGjs9ANiSfG3qSlz3cNGxzIzrGaMvN9Z5Pe59e\nsD0dOHB8UtvZZyfWyhLETw0/++wzpk6dyoEDBxg5ciQvvfRSi5/TNpXINYyX+oVzzjne2QCPHTsW\ndhdxPNQv5sM2+fwhANSX/y3KI2kupe8oSEoBbNhjZI99+jYAJutcks/pH7JN8LklnXUhSZ1j+3OV\n1ho4cCDgHYKRqILP7fzzzyczMzPKo4m8eKjhtm3bmDJlCnv37mXw4MEsWbKETp06nXb/RK5hPNSv\nJdu3bwe8rdxwk7zioX4xH7YpfUcD4N/+QZRH0pxJyyD1Um/ixZE/Pt5sF4c9WkPde/8OQIehN4dd\njr/Uu6pFykVXOhpp9IwY4Z2wo7i4OMojceejjz4Cjj/XRBPrNSwrK2Py5MlUVFRw6aWXUlBQ0OJh\nIqEkcg1juX4tnWgEoLa2lmeffRbwnke4PRXxUL+YD1vvajmGQMUWAjXhP3OwtVUEqvcSqN5HoHov\nNhDwbj9a3XhboHov1l/XrO+hRWPYPyuJQ4uaX5nnVDpN/DEkp1Jfup7D/3kbgWpvd3egcgfV/z6V\nwP6dmM5d6XTN/WGX4S/xztmaevG3W/34sW7UqFEYY9i6desJu3pOdvDgQfbt20dlZSX79u0j0FC/\nmpqaxtv27dtHXV3z+k2cOJGcnBxuuOGGVo/P7/c3Lnvfvn2Np4Sz1p7wuC0duxe8BNiYMWNa/fjx\nIJZruGfPHqZOnUpZWRn9+/enoKCAjIyM1j1BEruGsVy/1157je9+97u8/fbbJ4zt6NGjrF69unGG\ncnJyMvffH/49NB7qd3ofaERRUta5pFxyDf5NKzm24XU6jv77kO2qfzkJ/+fvNbu9tuAfqS34x8bf\nO+c/T8cRoa8AwmlMpDhZSs/L6HzLrzn80h3Uvf8Sde+/5F1i78hBr0HHLvj+oaDxAgUnq99bSv32\nDzBpWaTG2LmfI6F79+6MHTuWd955h9/97ndhr77yne98J+SJ4h988METLq319NNPc/PNofcSnM5E\nmJMVFRUxadKkZrfv3r2biy66qPH3Xr16sXHjxmbtduzYQXFxMZmZmXF33tnTFcs1fP755ykp8a4Z\nXV5ezhVXXBG27ZQpU0LOTE70GsZy/cC7nu2KFd455n0+Hx06dKCqqqox7H0+H0888UTYrdZ4qV/M\nb9kCdBztXY+2bv0rLbQyrfg6UfBMUMnnt+2UkB1H3Er6/etIHTIDk9kd6z9KUvZ5dLjie2T8aCOp\neWPC9g1eoKDDt76DST39z5jiSfDFXVBQELaNMea0v062a5d34pO2nI4uuLy2PG7T53TjjTe26jPC\neBOrNQx+dGOMobq6mr1794b9OnToUMhlfB1qGKv1GzduHIsWLWLSpEn069ePDh06UF1dTVZWFkOH\nDuW+++7j/fffb7yyTyjxUr/4uHh8oJ6DDw8gsKeEjIc3k9ztolN3Ok2Bqgqq7j8XOvjIfHQbSV3a\nb9q4DQQ4+PDFBPaVkvHg3yL6vMKJxsXj6+vrGTFiBNu2baOoqIg+ffpEbNm7du1iwIAB+Hw+iouL\nyckJvQfBhUAgwPDhw9mxYweFhYURfV4ticbF41XDyInGxeNVv8hI+IvHm6Rk0iY/BjbAkT88EtFl\n+z/7EwAdr5zVrkELcOzDJQR2f07HK77XLkEbLcnJyTzwwAMEAgEef/zxiC67sLAQgNtuu61dX+Tg\nXV+zpKSEW265pd2CNlpUw/im+kVfXIQtQIfBU0nuPYK69a9Qv+eLiC3Xv/XP0KEzncbdF7Flng5r\nLbUrHoGOXeg04eF2fexomDhxIkOHDuX111+ntLQ0YsstKiqic+fO3H333RFb5umw1rJo0SJ8Pl+L\nEzcSiWoY31S/6IqL3cgSOdHYjSyRFY3dyBI50diNLJGR8LuRRURE4pnCVkRExDGFrYiIiGMKWxER\nEccUtiIiIo4pbEVERBxT2IqIiDimsBUREXFMYSsiIuKYwlZERMQxha2IiIhjClsRERHHFLYiIiKO\nKWxFREQcU9iKiIg4prAVERFxTGErIiLimMJWRETEMYWtiIiIYwpbERERxxS2IiIijilsRUREHFPY\nioiIOKawFRERcUxhKyIi4pjCVkRExDGFrYiIiGMKWxEREccUtiIiIo4pbEVERBxT2IqIiDimsBUR\nEXFMYSsiIuKYwlZERMQxha2IiIhjClsRERHHFLYiIiKOKWxFREQcU9iKiIg4prAVERFxTGErIiLi\nmMJWRETEMYWtiIiIYwpbERERx4y1tvWdjGl9JxERkQRgrTWt7ZNyJg9YWVl5Jt0lCrKzswHVLp5l\nZ2erfnFMr8H4FaxdW2g3soiIiGMKWxEREccUtiIiIo4pbEVERBxT2IqIiDimsBUREXFMYSsiIuKY\nwlZERMQxha2IiIhjClsRERHHFLYiIiKOKWxFREQcU9iKiIg4prAVERFxTGErIiLimMJWRETEMYWt\niIiIYwpbERERxxS2IiIijilsRUREHFPYioiIOKawFRERcUxhKyIi4pjCVkRExDGFrYiIiGMKWxER\nEccUtiIiIo4pbEVERBxT2IqIiDimsBUREXFMYSsiIuKYwlZERMQxha2IiIhjClsRERHHFLYiIiKO\nKWxFREQcU9iKiIg4prAVERFxTGErIiLimMJWRETEMYWtiIiIYwpbERERxxS2IiIijilsRUREHIur\nsB0/fjy5ubmUlpZGeyhnzFrL8OHDOe+889i9e3e0h9MuVL/4pxrGN9UveuImbJctW8YHH3zAjBkz\nuOCCC0647+DBg/z2t79l1qxZDBs2jB49enDuuecyePBgvv/97/PXv/7V+fiKi4v53ve+x4ABA+je\nvTuXXnopc+fOZdu2bSHbG2O47777qKmpYeHChc7HF22xWr/y8nKWLl3K/PnzGT9+PD179iQnJ4eL\nL764xX5ft/pB7NZw48aNPProo0ycOJF+/fqRm5tL7969uf7661m8eDFHjx4N2e/rVsNYrd+KFSuY\nP38+1157LZdddhk9evSgR48eDBkyhNmzZ7N+/fqQ/eKtfsZa2/pOxliAysrKiA8oFL/fz8iRIykt\nLWX9+vXN/lEuv/zyxlAzxtC5c2estdTW1mKtJTk5mYceeog5c+Y4Gd+rr77K3Llzqa+vJykpifT0\ndA4ePIi1Fp/Px8svv8zo0aOb9QuumZWWllJYWEjfvn2djK+p7OxsoP1qB7Fdv/nz57N48eJmt3fr\n1o1PP/20xb7RqB94NWzP+kHs1nDp0qXMmjWr8ffk5GTS09Opqqoi+N6Wl5dHQUEB3bt3b9Zfr0FP\nNF+Dw4YNY+vWrY2PnZmZSU1NDX6/v7GGc+fO5cEHH2zWt73rF6ydtda0tm9cbNmuXLmSkpISRo8e\n3eyfBLx/pIEDB/Lzn/+cjRs3smPHDnbu3Ml7773H6NGjqa+v58EHH2TVqlURH9umTZu45557qK+v\nZ8aMGWzZsoUvvviCjRs3MmbMGGpqasjPz2ffvn3N+hpjmDlzJn6/P+QbfqKI5folJSXRu3dvpk6d\nyoIFC5g9e/Zp9/261A9it4Z+vx+fz0d+fj7Lli2jvLyckpISSktLWbhwIT6fjy1btpCfnx+y/9el\nhrFaP4ApU6bw9NNP8+GHH1JRUUFJSQkVFRWsWbOGcePGAfDkk0+ycuXKZn3jqX5xsWV744038u67\n7/LMM89w0003Nbu/qKiI4cOHh+x75MgRrr76aj777DNGjRrF7373u4iO7ZZbbuEPf/gDgwYNYtWq\nVRhzfIWnpqaGESNGUF5ezuzZs1mwYEGz/mVlZQwcOJDMzEw2bdpEWlpaRMd3smisVcdy/QKBAElJ\nx9c5X3nlFe6+++7T2rKF9q8fRGfLNlZrWFJSQmZmJmeddVbI+5csWdK4Nfbmm28ycuTIZm30Gozu\na7Alx44da9xynTZtWshAbc/6JfSW7Zdffsnq1atJSUlhwoQJIduE+ycB6NSpE1OmTAHg448/jujY\nqqqqGtf0Zs+efULQAvh8Pm6//XYA3njjjZDL6NmzJ5dffjlVVVUsX748ouOLBbFcP+CEoG2LRK8f\nxHYN+/TpEzZoAaZPn05qamqLj53oNYzl+p1Kamoql1xyCeBtvIQSL/WL+bBdu3Yt1lry8vLo0qVL\nm5bRtWtXwNuKiaSioiL8fj/GGMaOHRuyTfD2Xbt2sWXLlpBthg4dCsCaNWsiOr5YEMv1i5RErh/E\ndw1TUlIax1xfXx+2XSLXMJ7rd+TIET755BMABg0aFLZdPNQv5sN23bp1QMt/6FMpLCwEoH///hEZ\nU1AwPLt160ZWVlbINv369WvW/mSDBw8GvPBONLFcv0hJ5PpBfNdw8+bN7N+/H6DFGeaJXMN4rN/+\n/ftZu3YtN998Mzt37iQvL4+77rorbPt4qF/Mh21wrSYvL69N/T/++GN+//vfAzBz5syIjQugoqIC\ngHPOOSdsm7S0NDIyMrDWhj0WLPgPvH37dqqqqiI6xmiL5fpFSiLXD+K7ho8++igAvXr14qqrrgrb\nLpFrGC/1e+2118jJySEnJ4e+ffsyadIkNm3axL333suqVavw+Xxh+8ZD/WI+bIMBFdyN0RqHDh3i\nzjvvJBAI8M1vfpNbb701omM7fPgw4H2m0ZLOnTsD4T9zaLpVvGfPngiNLjbEcv0iJZHrB/Fbwxde\neIEVK1ZgjOGRRx4hJSUlbNtErmG81C8tLY3c3Fxyc3NJTk7GGENlZSVFRUVhz1cQFA/1i/mwDc7Y\nC7ebNhy/38+dd97J1q1bycrK4tlnnz3jyTCuNH0R7N27N4ojiTzVL/7FYw0LCwuZN28eAHfccQfX\nX399i+0TuYbxUr+JEyeyefNmNm/eTHl5OcuXL2fYsGEUFhZy3XXXtXhijXioX2y+e52hQCDAnDlz\nePvtt/H5fLzyyitceOGFEX+c4BbrkSNHWmwX3AJuaTeIHNde9RN3olnD4uJiZs6cSV1dHRMmTOCx\nxx5rl8dNJNF+DaampjJ8+HCWLVvGkCFDqKmp4aGHHmq3x3ch5sM2eFxTcJLDqVhruffee3n99dfp\n2LEjL774IsOGDXMytuAZaYKf3YZSW1vLwYMHAW8iVShNn1tLhzHEo1iuX6Qkcv0gvmq4adMmpk+f\nTnV1NWPHjuW5555rdkheKIlcw3iq38mSk5MbD59ct24d4c4LEQ/1i/mwzc3NBU7/APD58+fz4osv\nkpqayrPPPsuYMWOcjS34ofyuXbvC/iMHZyAbY8JOUDhw4EDjz2effXaERxldsVy/SEnk+kH81PCz\nzz5j6tSpHDhwgJEjR/LSSy+1+DltU4lcw3ipXzjBCajHjh0Lu4s4HuoX82E7cOBAwJvCfyo//vGP\n+fWvf01ycjLPPPMM1113ndOxDRs2jJSUFKy1YY/vWr16NeD9wzQ9DKip4HM7//zzyczMdDLWaInl\n+kVKItcP4qOG27ZtY8qUKezdu5fBgwezZMmSU05cbCqRaxgP9WvJ9u3bAW8rN9wkr3ioX8yH7YgR\nIwDvc5iW/OxnP+Opp54iKSmJJ554gmnTpjkfW0ZGRuO5O3/5y18228VRU1PD888/D9DieD766CPg\n+HNNJLFcv0hJ5PpB7NewrKyMyZMnU1FRwaWXXkpBQUGr50ckcg1juX4tnWgEvI/hnn32WcB7HuH2\nVMRD/WI+bEeNGoUxhq1bt56wq6Cpf/u3f+MnP/kJAAsXLuQ73/lOqx5j4sSJ5OTkcMMNN7R6fPPm\nzSM1NZUNGzYwZ86cxl01ZWVl3HrrrZSXl5OVlcXcuXPDLiN4Calo765xIdbr5/f72bdvX+NX8PAs\nay2VlZWNt7d07F4i1w9iu4Z79uxh6tSplJWV0b9/fwoKCsjIyGjVMiCxaxjL9Xvttdf47ne/y9tv\nv33C2I4ePcrq1asbZygnJydz//33h11OPNQvLi5EMGPGDN555x0ef/zxkFfvyMnJAbzz3AZ/DsUY\nwx//+Ed69Ohxwu0TJ07kL3/5S5tPsr1kyRLmzp2L3+8HID09nUOHDgE0zuQbNWpUyL47duxg0KBB\nZGZm8umnn7Zq11dbROMk6LFcv7Vr1zJp0qRTtuvVqxcbN25sdnt71w+icyGCWK3hT3/608Zrmaan\np7f4958yZUrImcl6DUavfq+++irf//73G3/3+Xx06NCBqqqqxlND+ny+Fre027N+Z3IhgtObPRBl\n+fn5vPPOOxQUFLR4qSxr7SmPsQq1crFr1y6g7aczu+mmm+jfvz//+q//SlFREfv376dnz56MGTOG\nH/zgByEvaRVUUFAAeFflaI836miI5foFZ6qeasZquPu/DvWD2K1hcFnGGKqrq6murg7bNrgCfLKv\nQw1jtX7jxo1j0aJFvPfee2zevJk9e/ZQXV1NVlYWffr0YcyYMeTn54e8FnFQvNQvLrZs6+vrGTFi\nBNu2baOoqIg+ffpEbNm7du1iwIAB+Hw+iouLW1yri7RAIMDw4cPZsWMHhYWFEX1e4URjrVr1i6xo\nbNmqhpGj12DktHf9EvoSe+DNQnvggQcIBAI8/vjjEV128ATbt912W7v+k4B32b2SkhJuueWWdnuj\njgbVL/6phvFN9Yu+uAhb8D4TGDp0KK+//jqlpaURW25RURGdO3fm7rvvjtgyT4e1lkWLFuHz+Vr8\n4D9RqH7xTzWMb6pfdMXFbmSJnGjswpLIisZuZIkcvQbjV8LvRhYREYlnClsRERHHFLYiIiKOKWxF\nREQcU9iKiIg4prAVERFxTGErIiLimMJWRETEMYWtiIiIYwpbERERxxS2IiIijilsRUREHFPYioiI\nOKawFRERcUxhKyIi4pjCVkRExDGFrYiIiGMKWxEREccUtiIiIo4pbEVERBxT2IqIiDimsBUREXFM\nYSsiIuKYwlZERMQxha2IiIhjClsRERHHFLYiIiKOKWxFREQcU9iKiIg4prAVERFxTGErIiLimMJW\nRETEMYWtiIiIYwpbERERxxS2IiIijilsRUREHFPYioiIOKawFRERcUxhKyIi4pjCVkRExDGFrYiI\niGMKWxEREccUtiIiIo4Za23rOxnT+k4iIiIJwFprWttHW7YiIiKOpZxJ58rKykiNQ9pJdnY2oNrF\ns+zsbNUvjgVfg11/pR2E8Wb/P7R6g7aRtmxFREQcU9iKiIg4prAVERFxTGErIiLimMJWRETEMYWt\niIiIYwpbERERxxS2IiIijilsRUREHFPYioiIOKawFRERcUxhKyIi4pjCVkRExDGFrYiIiGMKWxER\nEccUtiIiIo4pbEVERBxT2IqIiDimsBUREXFMYSsiIuKYwlZERMQxha2IiIhjClsRERHHFLYiIiKO\nKWxFREQcU9iKiIg4prAVERFxTGErIiLimMJWRETEMYWtiIiIYwpbERERxxS2IiIijilsRUREHFPY\nioiIOKawFRERcUxhKyIi4pjCVkRExDGFrYiIiGMKWxEREccUtiIiIo4pbEVERBxT2IqIiDimsBUR\nEXEsrsJ2/Pjx5ObmUlpaGu2hnDFrLcOHD+e8885j9+7d0R5Ou1D94p9qGN8O/vQK9t+VSv2eL6I9\nlDNmraXq4QHs/9/pBA7uivZwTikl2gM4XcuWLeODDz7g5ptv5oILLjjhvq+++oqlS5eyYcMG/vu/\n/5u9e/dy8OBB0tPTycvL49prr+Xv/u7v8Pl8zsZXXFzM008/zbp169i/fz9nnXUWY8eO5Z577uHC\nCy9s1t4Yw3333cedd97JwoULWbRokbOxxYJYrV95eTl/+ctf2LBhA8XFxfztb3+jtraW3NxcNm/e\nHLbf161+ELs13LhxIytWrGDdunVs2bKFAwcO0KVLFy6++GImTZpEfn4+HTt2bNbv61bDug0F1H+x\njg4jbiP57N4n3Bc48CV177+Mv3Q99V9twh7cja2twqRlkNx9AKkDJ9HxqrswHSNfv7qNv8O/ZTX+\n7R9i9+8kcGgPAElZ55LS5wo6XjmLlD4jmvUzxpB23QPU/Md3qH3zYXzf+beIjy2SjLW29Z2MsQCV\nlZURH1Aofr+fkSNHUlpayvr165u90AsKCrjzzjuDY6Njx4506NCBQ4cOEXx+vXr1oqCggD59+kR8\nfK+++ipz586lvr6epKQk0tPTOXjwINZafD4fL7/8MqNHj27WL7hmXVpaSmFhIX379o342E6WnZ0N\ntF/tILbrN3/+fBYvXtzs9m7duvHpp5+22Dca9QOvhu1ZP4jdGi5dupRZs2Y1/p6cnEx6ejpVVVWN\nj5uXl0dBQQHdu3dv1j+ar8Guv2r9e29b2Xo/B398CYE9X5Dxz1uahW3dB0uoeW5mw28GUjpiUjti\naw8C3jiTss+ny9y3Se52UUTHVvVgfwK7P2t8bNM5C3u0Gur9jY/d6Zr7SZvyWPPnZS0HH7qYwN4v\nyHjobyR36xfRsZ1s/z+Y4OOa1vaNi93IK1eupKSkhNGjRzd7kYP3Ir7//vtZtmwZJSUllJeXs23b\nNrZt28YTTzyBz+dj586d3HHHHREf26ZNm7jnnnuor69nxowZbNmyhS+++IKNGzcyZswYampqyM/P\nZ9++fc36GmOYOXMmfr8/5Bt+oojl+iUlJdG7d2+mTp3KggULmD179mn3/brUD2K3hn6/H5/PR35+\nPsuWLaO8vJySkhJKS0tZuHAhPp+PLVu2kJ+fH7L/16WGxz55k8Duz0npP7ZZ0IIXpJ0mPEyXH64m\n8/F9dH36MFlP7CfrFwfofMti6NiFQOV2ap69KeJj6zD0JjrnP0/Ggs/JeuYoWY/vo+szR0n/vxtI\n/cb1ABx5ayF1H7/ZrK8xho4jb4eAn6PvPhXxsUVSXGzZ3njjjbz77rs888wz3HRT64v9m9/8hrlz\n52KM4f3334/omvUtt9zCH/7wBwYNGsSqVasw5vgKT01NDSNGjKC8vJzZs2ezYMGCZv3LysoYOHAg\nmZmZbNq0ibS0tIiNLZRobNnGcv0CgQBJScfXOV955RXuvvvu09qyhfavH0RnyzZWa1hSUkJmZiZn\nnXVWyPuXLFnCnDlzAHjzzTcZOXJkszbReg2255btoaeuxf/pW3TO/086jri11f2PFv4Hh1+6AzBk\n/Pi/I751G46tP9a45dph6M34vvdyszaByp1U/dP5mLQsMheWYzq4q19Cb9l++eWXrF69mpSUFCZM\nmNCmZQwaNKjx55qamkgNjaqqKlatWgXA7NmzTwhaAJ/Px+233w7AG2+8EXIZPXv25PLLL6eqqorl\ny5dHbGyxIpbrB5wQtG2R6PWD2K5hnz59wgYtwPTp00lNTQXg448/Dtkm0WsY2F+O/9O3ISmFDoOm\ntmkZyedf3vizPVodqaGdkklOJbnHZS0+blJ2L5IvHI6tPUBdcej32VgQ82G7du1arLXk5eXRpUuX\nNi1j/fr1gBd+F10UuTWyoqIi/H4/xhjGjh0bsk3w9l27drFly5aQbYYOHQrAmjVrIja2WBHL9YuU\nRK4fxHcNU1JSGsdcX18ftl0i1/DYltWAJbn7AEynttWvvuQv3g8du5B8Tv/IDe4U7LEj1O8sBiD5\n/KFh26X09iZQ+Tf/sV3G1RYxPxt53bp1wIlrxqejrq6Or776iuXLl/PYY4+RlJTEggULIrqLKBie\n3RXoqnAAAAs8SURBVLp1IysrK2Sbfv36ndA+Ly+vWZvBgwcDXngnmliuX6Qkcv0gvmu4efNm9u/f\nD8DFF18ctl0i19C/9c8AJF8QPqxCsf46AgfKOVb8/6hd9gCYJDrfuMjpbtqgQE0l9WWfcGTFvxCo\n3E5S9wF0+vYPwrZPueBbHOX4c41FMR+2n3zyCUDIkAplyJAhzY4BvPrqq5k7d27IGcFnoqKiAoBz\nzjknbJu0tDQyMjI4ePBg2GP5+vf31hS3b99OVVUVmZmZER1nNMVy/SIlkesH8V3DRx99FPAmcF11\n1VVh2yVyDet3bAAgufuA02pf9aO+BPaeeBxuysXj6DT+flLzro74+IKOFv2Gw/954ufJpstZdLru\nR3S65v4WDztKPvcSAAJ7txE4fICkzqE3fqIp5ncjBwOqa9eup9X+rLPOolu3bnTp0qXxM9RPPvmE\nwsJC2jIZrCWHDx8GoFOnTi2269y5MxD+s6qmW8V79uyJ0OhiQyzXL1ISuX4QvzV84YUXWLFiBcYY\nHnnkEVJSwm9bJHINgyd8ML7s02pv0nMxGedAx3TAq1/9zg34P/uT0/qZDp0x6d0w6d3AJAMGW70P\n/+d/pn731pb7dj7+v2kPxeYJSmI+bIOzLsPtpj3ZW2+9xaeffsr27dvZvHkzP/rRjzhy5Ag/+9nP\nTjgeL5Y0fRPbu3dvFEcSeapf/IvHGhYWFjJv3jwA7rjjDq6//voW2ydyDW2193yaBlJLMu7/C1k/\n/ZKuT1aR+dOv6DTpEWxdLUd+/88c/o/vOhtnh8FTyfrZV97X04dJ/8f3SOlzBf7P/8Shn4/Gv3Nj\n2L5NVyTsodhcWYr5sD0TZ599Nj/4wQ/49a9/DcDrr7/O+++/H7HlB7dYjxw50mK74BawyzNYJSLX\n9RP3olHD4uJiZs6cSV1dHRMmTOCxx5qfDEFOT1JGLmnXzsd3x6sA1H3wCv7gZCmHTHIqKX2voMu9\nq0m+YBgcraa24P84f1yXYj5sg8ekBSc5tMU111xDz549AXjvvfciMi6g8Yw0wc9uQ6mtreXgwYOA\nN5EqlKbPraXDGOJRLNcvUhK5fhBfNdy0aRPTp0+nurqasWPH8txzzzU7JC+URK6h6eI9H1vT9mOz\nO1w2gaTs8wA49t/vRGRcp8MkJdPxKm9viP/z98Luxm763Ez62e0yttaK+bDNzc0FzvwkDMFg3LUr\nciesDk6q2LVrV9g3ouCMZWNM2AkmBw4caPz57LNj8x+lrWK5fpGSyPWD+KnhZ599xtSpUzlw4AAj\nR47kpZdeavFz2qYSuYZJGd5Kvq1pfha71jBZPbzlVH11xmNqjaTMc70f6o+F3UVsDzcN29z2GFar\nxXzYDhw4EKDFk8Kfjp07dwKRXWsdNmwYKSkpWGvDHp+3evVqwJux3PQwoKaCz+38889PqFmQENv1\ni5RErh/ERw23bdvGlClT2Lt3L4MHD2bJkiWnnLjYVCLXMPn8IQDUl//tjJYT2FcKtH+YBfZu835I\nSg47ySv43JLOujAmZyJDHITtiBHewcrFxcVh27R0sDp4JyuvqKjAGNPi9P/WysjIYNy4cQD88pe/\nbLaLo6amhueffx6AadOmhV3ORx99BBx/rokklusXKYlcP4j9GpaVlTF58mQqKiq49NJLKSgoaPX8\niESuYUpf73Ar//YPwraxgZbrd/T9lxu2aA0p/f9HxMZ2qse1dbUcXfM04D0Pkxx6T4W/1DtpSspF\nV0ZsbJEW82E7atQojDFs3br1hF09TV133XU8+eSTbNmy5YQXfVlZGQsXLuTuu+8G4Kqrrgr5Ypo4\ncSI5OTnccMMNrR7fvHnzSE1NZcOGDcyZM6dxV1tZWRm33nor5eXlZGVlMXfu3LDLCJ5dZ8yYMa1+\n/FgX6/Xz+/3s27ev8St4eJa1lsrKysbbq6qqwi4jkesHsV3DPXv2MHXqVMrKyujfvz8FBQVkZGS0\nahmQ2DX0jo01BCq2EKgJ/XHXof/f3t3FNlXGcRz/nb5so10ZBhM2AglZYsy2eINhYQ6mWYhcoKEz\nmUHZxaLR4NXihVm4gIwlaIwZ4YaoV4hZiIsjsBgVolyIWVLBOIgoRq3DXogb8wW6WNau53hROsPW\nwjr79GV8P0kv1vY8p8s/7a/n9DnP/62tunX6TSWvXbkjAO0/I4p9dED/vP+CJMnTsE3ehxZeKx0d\neEJ/7XEpOpDbdbjxrwY1/XaHEt9+fMdrcxIzSnz/maIDjyv522XJcqvq6b6s46QnbXkbtuW0/0Iq\n+UUt6urq1N7errNnz2pkZCRj946JiQn19/erv79fHo9HgUBAMzMzc7OAJamtrW3uKDObxUykmK+p\nqUmHDx9WT0+PhoaGNDQ0pEAgoGg0Kik1A/nYsWNzk0zmi0QiGhsbU01NzZLXnS1lpV6/UCiknTt3\nLrh/cnLyjmUF169fr4sXF156sNzrJ5V2DY8ePapwOCwp1Zu4tbU163M7Ojoyzkxe7jV0rVorT9N2\nzX53WolvhlW59aUFz3FuXFPs1F7FTu2VXB5ZVSvlzN6S4v/Vz/Nwu6pf/vDuO1vCezBxaUSJSyOp\nPyqrZbkr5MT+lhx77j7/7nczhrwkJaeuKvnrBVkrVsm7xLWfC6Hkj2wlzb25T5w4kfHxI0eOqKen\nR83NzVqzZo1isZgkacOGDQoGgxocHNTJkyezfuNNT9jIdTm6tF27dunMmTMKBoOqra1VPB7XunXr\n1NXVpXPnzmnLli1Zt03/T52dnTn9xlROSrl+6Q93y7LuecvkfqifVLo1TP90Y1mWpqenNTU1lfWW\n/gI83/1Qw8qtqV7D8fPHMz7u635PVdt75a5/TK6aOjm3Q9b1YL28jz4r/yunFHj1c1krMtfPvj1p\n6m7rF2fifWSHfM+/I+/GTrlqG1JBOxOV5XtA7voWVe3Yr5oDP6ii+bmsY8QvpC5LqmjeLctbuvUr\nixZ7yWRSLS0tGh8fVygUymuLtYmJCTU2Nsrv92tsbEyrV6/O29j3Ytu2Nm/erEgkotHRUSON7ecr\nRos96pdfxWixRw3zpyjN4+2kbvY1yr4e1sq+K3ltkWff+F03etdKFX7VvD4uV3XhJjE6tq2bfQ2y\n/7iqlfsvG2/9t6xb7EmS2+3Wvn37ZNu2Dh06lNexR0dHJUnd3d0FfZNLqbZ74XBYXV1dBfugLgbq\nV/6oYXmzXG6tCL4hObZufXowr2PP/viFJKmybU9Bg1aSEl9/IHvyJ1W2vliwHrtLVRZhK6UmUGza\ntEnDw8MLFjn/P0KhkHw+39wEjkJxHEcDAwPy+/3q7e0t6L6LgfqVP2pY3io2PiN3fYvi548ref2X\ne2+wSLM/fylV+FT15Gt5G3MxHMdR7JODUmW1qp7qK+i+l6IsTiMjf4pxGhn5VYzTyMifYpxGRn4s\n+9PIAACUM8IWAADDCFsAAAwjbAEAMIywBQDAMMIWAADDCFsAAAwjbAEAMIywBQDAMMIWAADDCFsA\nAAwjbAEAMIywBQDAMMIWAADDCFsAAAwjbAEAMIywBQDAMMIWAADDCFsAAAwjbAEAMIywBQDAMMIW\nAADDCFsAAAwjbAEAMIywBQDAMMIWAADDCFsAAAwjbAEAMIywBQDAMMIWAADDCFsAAAwjbAEAMIyw\nBQDAMMIWAADDCFsAAAwjbAEAMIywBQDAMMIWAADDCFsAAAwjbAEAMIywBQDAMMIWAADDLMdxct/I\nsnLfCACAZcBxHCvXbTiyBQDAsCUd2QIAgMXjyBYAAMMIWwAADCNsAQAwjLAFAMAwwhYAAMMIWwAA\nDCNsAQAwjLAFAMAwwhYAAMMIWwAADCNsAQAwjLAFAMCwfwHhre7nA3aHVQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1096061d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 237
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \"[1,3],[0,3]\", \"array_indexing_10\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgoAAAITCAYAAABmGDQGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYPT/DY4edObIejcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108f88850>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 261
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \":,np.array([False, True, True, False])\", \"array_indexing_11\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgoAAAITCAYAAABmGDQGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYPT/DY4edObIejcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106e36f90>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 261
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \":,np.array([False, True, True, False])\", \"array_indexing_12\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAigAAAITCAYAAAAtsOfrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noAAAAONQUAAAgHH+D0+VYyjBrHfnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1093dcbd0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 265,
       "width": 276
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array((4, 4), \"1:3,np.array([False, True, True, False])\", \"array_indexing_12\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<table>\n",
    "<tr>\n",
    "<td><img src=\"./array_indexing_1.svg\"></td>\n",
    "<td><img src=\"./array_indexing_2.svg\"></td>\n",
    "<td><img src=\"./array_indexing_3.svg\"></td>\n",
    "<td><img src=\"./array_indexing_4.svg\"></td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td><img src=\"./array_indexing_5.svg\"></td>\n",
    "<td><img src=\"./array_indexing_6.svg\"></td>\n",
    "<td><img src=\"./array_indexing_7.svg\"></td>\n",
    "<td><img src=\"./array_indexing_8.svg\"></td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td><img src=\"./array_indexing_9.svg\"></td>\n",
    "<td><img src=\"./array_indexing_10.svg\"></td>\n",
    "<td><img src=\"./array_indexing_11.svg\"></td>\n",
    "<td><img src=\"./array_indexing_12.svg\"></td>\n",
    "</tr>\n",
    "</table>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Aggregation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data = np.arange(9).reshape(3,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 2],\n",
       "       [3, 4, 5],\n",
       "       [6, 7, 8]])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "36"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 9, 12, 15])"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.sum(axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 3, 12, 21])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.sum(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def show_array_aggregation(data, axis, filename=None):\n",
    "    \"\"\"Visualize indexing of arrays\"\"\"\n",
    "   \n",
    "    fig, axes = plt.subplots(2, 1, figsize=(4, 8))\n",
    "\n",
    "    \n",
    "    ax = axes[0]\n",
    "    ax.patch.set_facecolor('black')\n",
    "    #ax.set_aspect('equal', 'box')\n",
    "    ax.xaxis.set_major_locator(plt.NullLocator())\n",
    "    ax.yaxis.set_major_locator(plt.NullLocator())\n",
    "\n",
    "    \n",
    "    colors = ['#1199ff', '#ee3311', '#66ff22']\n",
    "    \n",
    "    for (m, n), w in np.ndenumerate(data):\n",
    "        size = 0.97\n",
    "        color = '#1199ff' if w > 0 else '#eeeeee'\n",
    "        color = '#eeeeee'\n",
    "        rect = plt.Rectangle([n - size / 2, m - size / 2],\n",
    "                             size, size,\n",
    "                             facecolor=color,\n",
    "                             edgecolor=color)\n",
    "        ax.add_patch(rect)\n",
    "        if axis is None:\n",
    "            color = '#1199ff'\n",
    "        elif axis == 1:\n",
    "            color = colors[m]\n",
    "        else:\n",
    "            color = colors[n]\n",
    "            \n",
    "        size = 0.8\n",
    "        rect = plt.Rectangle([n - size / 2, m - size / 2],\n",
    "                             size, size,\n",
    "                             facecolor=color,\n",
    "                             edgecolor=color)\n",
    "        ax.add_patch(rect)\n",
    "\n",
    "        ax.text(n, m, \"%d\" % data[m, n], ha='center', va='center', fontsize=12)\n",
    "        \n",
    "    ax.autoscale_view()\n",
    "    ax.invert_yaxis()\n",
    "    ax.set_title(\"data\", fontsize=12)\n",
    "\n",
    "    if False:\n",
    "        ax = axes[1]\n",
    "        ax.set_frame_on(False)\n",
    "        ax.patch.set_facecolor('white')\n",
    "        ax.xaxis.set_major_locator(plt.NullLocator())\n",
    "        ax.yaxis.set_major_locator(plt.NullLocator())\n",
    "        ax.set_xlim(0, 3)\n",
    "        ax.set_ylim(0, 3)\n",
    "\n",
    "        if axis is not None:\n",
    "            ax.text(1.5, 1.5, \"data.sum(axis=%d)\" % axis, ha='center', va='center', fontsize=18)        \n",
    "        else:\n",
    "            ax.text(1.5, 1.5, \"data.sum()\", ha='center', va='center', fontsize=18)        \n",
    "\n",
    "        ax.arrow(0.3, 1.25, 2.1, 0.0, head_width=0.1, head_length=0.2, fc='k', ec='k')\n",
    "\n",
    "    if axis == 0:\n",
    "        adata = data.sum(axis=axis)[:, np.newaxis]\n",
    "    elif axis == 1:\n",
    "        adata = data.sum(axis=axis)[:, np.newaxis]\n",
    "    else:\n",
    "        adata = np.atleast_2d(data.sum(axis=axis))\n",
    "        \n",
    "    ax = axes[1]\n",
    "    ax.set_frame_on(False)\n",
    "    ax.patch.set_facecolor('white')\n",
    "    ax.xaxis.set_major_locator(plt.NullLocator())\n",
    "    ax.yaxis.set_major_locator(plt.NullLocator())\n",
    "    \n",
    "    \n",
    "    colors = ['#1199ff', '#ee3311', '#66ff22']\n",
    "    \n",
    "    for (m, n), w in np.ndenumerate(data):\n",
    "        size = 1.0\n",
    "        color = '#ffffff'\n",
    "        rect = plt.Rectangle([n - size / 2, m - size / 2],\n",
    "                         size, size,\n",
    "                         facecolor=color,\n",
    "                         edgecolor=color)\n",
    "        ax.add_patch(rect)        \n",
    "    \n",
    "    for (m, n), w in np.ndenumerate(adata):\n",
    "\n",
    "        if axis is None:\n",
    "            size = 1.0\n",
    "            color = '#000000'\n",
    "            rect = plt.Rectangle([1+m - size / 2, 0 + n - size / 2],\n",
    "                             size, size,\n",
    "                             facecolor=color,\n",
    "                             edgecolor=color)\n",
    "            ax.add_patch(rect)        \n",
    "            size = 0.97\n",
    "            color = '#eeeeee'\n",
    "\n",
    "            \n",
    "            rect = plt.Rectangle([1+m - size / 2, 0 + n - size / 2],\n",
    "                                 size, size,\n",
    "                                 facecolor=color,\n",
    "                                 edgecolor=color)\n",
    "            ax.add_patch(rect)\n",
    "\n",
    "            \n",
    "            if axis is None:\n",
    "                color = '#1199ff'\n",
    "            elif axis == 1:\n",
    "                color = colors[n]\n",
    "            else:\n",
    "                color = colors[m]\n",
    "\n",
    "            size = 0.8\n",
    "            rect = plt.Rectangle([1+m - size / 2, 0 + n - size / 2],\n",
    "                                 size, size,\n",
    "                                 facecolor=color,\n",
    "                                 edgecolor=color)\n",
    "            ax.add_patch(rect)\n",
    "\n",
    "            \n",
    "            if n == 0:\n",
    "                ax.text(1+m, n+0, \"%d\" % adata[m, n], ha='center', va='center', fontsize=10)\n",
    "\n",
    "            \n",
    "        if axis == 0:\n",
    "            size = 1.0\n",
    "            color = '#000000'\n",
    "            rect = plt.Rectangle([m - size / 2, 0 + n - size / 2],\n",
    "                             size, size,\n",
    "                             facecolor=color,\n",
    "                             edgecolor=color)\n",
    "            ax.add_patch(rect)        \n",
    "            size = 0.97\n",
    "            color = '#eeeeee'\n",
    "\n",
    "            \n",
    "            rect = plt.Rectangle([m - size / 2, 0 + n - size / 2],\n",
    "                                 size, size,\n",
    "                                 facecolor=color,\n",
    "                                 edgecolor=color)\n",
    "            ax.add_patch(rect)\n",
    "\n",
    "            \n",
    "            if axis is None:\n",
    "                color = '#1199ff'\n",
    "            elif axis == 1:\n",
    "                color = colors[n]\n",
    "            else:\n",
    "                color = colors[m]\n",
    "\n",
    "            size = 0.8\n",
    "            rect = plt.Rectangle([m - size / 2, 0 + n - size / 2],\n",
    "                                 size, size,\n",
    "                                 facecolor=color,\n",
    "                                 edgecolor=color)\n",
    "            ax.add_patch(rect)\n",
    "\n",
    "            \n",
    "            if n == 0:\n",
    "                ax.text(m, n+0, \"%d\" % adata[m, n], ha='center', va='center', fontsize=10)\n",
    "\n",
    "        if axis == 1:\n",
    "            size = 1.0\n",
    "            color = '#000000'\n",
    "            rect = plt.Rectangle([0 + m - size / 2, n - size / 2],\n",
    "                             size, size,\n",
    "                             facecolor=color,\n",
    "                             edgecolor=color)\n",
    "            ax.add_patch(rect)        \n",
    "            size = 0.97\n",
    "            color = '#eeeeee'\n",
    "\n",
    "            rect = plt.Rectangle([0 + m - size / 2, n - size / 2],\n",
    "                                 size, size,\n",
    "                                 facecolor=color,\n",
    "                                 edgecolor=color)\n",
    "\n",
    "            ax.add_patch(rect)\n",
    "\n",
    "            if axis is None:\n",
    "                color = '#1199ff'\n",
    "            elif axis == 1:\n",
    "                color = colors[m]\n",
    "            else:\n",
    "                color = colors[m]\n",
    "\n",
    "            size = 0.8\n",
    "            rect = plt.Rectangle([0 + m - size / 2, n - size / 2],\n",
    "                                 size, size,\n",
    "                                 facecolor=color,\n",
    "                                 edgecolor=color)\n",
    "            ax.add_patch(rect)\n",
    "            \n",
    "            if axis == 0 and m == 0:\n",
    "                ax.text(m+0, n, \"%d\" % adata[m, n], ha='center', va='center', fontsize=12)\n",
    "            if axis == 1 and n == 0:\n",
    "                ax.text(m, n+0, \"%d\" % adata[m, n], ha='center', va='center', fontsize=10)\n",
    "\n",
    "    ax.autoscale_view()\n",
    "    ax.invert_yaxis()\n",
    "    if axis is not None:\n",
    "        ax.set_title(\"data.sum(axis=%d)\" % axis, fontsize=12)\n",
    "    else:\n",
    "        ax.set_title(\"data.sum()\", fontsize=12)\n",
    "    \n",
    "    fig.tight_layout()\n",
    "    \n",
    "    if filename:\n",
    "        fig.savefig(filename + \".png\", dpi=200)\n",
    "        fig.savefig(filename + \".svg\")\n",
    "        fig.savefig(filename + \".pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3],\n",
       "       [4, 5, 6],\n",
       "       [7, 8, 9]])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = np.arange(1,10).reshape(3,3)\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjEAAARyCAYAAABWc6QMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104c8c850>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 569,
       "width": 280
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array_aggregation(data, None, filename=\"array_aggregation_1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjEAAARyCAYAAABWc6QMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nno2vAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10916aa90>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 569,
       "width": 280
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array_aggregation(data, 0, filename=\"array_aggregation_2\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjEAAARyCAYAAABWc6QMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAEgSMQBAkogBAJIui/dBjJZ6YQgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a7536d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 569,
       "width": 280
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array_aggregation(data, 1, filename=\"array_aggregation_3\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Broadcasting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def show_array_broadcasting(a, b, filename=None):\n",
    "    \"\"\"Visualize broadcasting of arrays\"\"\"\n",
    "\n",
    "    c = a + b\n",
    "    \n",
    "    fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n",
    "\n",
    "    data = a\n",
    "    ax = axes[0]\n",
    "    ax.patch.set_facecolor('black')\n",
    "    ax.xaxis.set_major_locator(plt.NullLocator())\n",
    "    ax.yaxis.set_major_locator(plt.NullLocator())\n",
    "    colors = ['#1199ff', '#ee3311', '#66ff22']\n",
    "    for (m, n), w in np.ndenumerate(data):\n",
    "        size = 0.97\n",
    "        color = '#1199ff'\n",
    "        rect = plt.Rectangle([n - size / 2, m - size / 2],\n",
    "                             size, size,\n",
    "                             facecolor=color,\n",
    "                             edgecolor=color)\n",
    "        ax.add_patch(rect)\n",
    "        ax.text(m, n, \"%d\" % data[n, m], ha='center', va='center', fontsize=12)        \n",
    "    ax.text(2.8, 1, \"+\", ha='center', va='center', fontsize=22)        \n",
    "    ax.autoscale_view()\n",
    "    ax.invert_yaxis()\n",
    "    \n",
    "    data = np.zeros_like(a) + b\n",
    "    ax = axes[1]\n",
    "    ax.patch.set_facecolor('black')\n",
    "    ax.xaxis.set_major_locator(plt.NullLocator())\n",
    "    ax.yaxis.set_major_locator(plt.NullLocator())\n",
    "    colors = ['#1199ff', '#ee3311', '#66ff22']\n",
    "    for (m, n), w in np.ndenumerate(data):\n",
    "        size = 0.97\n",
    "        color = '#eeeeee'\n",
    "        rect = plt.Rectangle([n - size / 2, m - size / 2],\n",
    "                             size, size,\n",
    "                             facecolor=color,\n",
    "                             edgecolor=color)\n",
    "        ax.add_patch(rect)\n",
    "        if (np.argmax(b.T.shape) == 0 and m == 0) or (np.argmax(b.T.shape) == 1 and n == 0):\n",
    "            color = '#1199ff'\n",
    "            #size = 0.8\n",
    "            rect = plt.Rectangle([n - size / 2, m - size / 2],\n",
    "                                 size, size,\n",
    "                                 facecolor=color,\n",
    "                                 edgecolor=color)\n",
    "            ax.add_patch(rect)\n",
    "        ax.text(m, n, \"%d\" % data[n, m], ha='center', va='center', fontsize=12)        \n",
    "    ax.text(2.8, 1, \"=\", ha='center', va='center', fontsize=22)        \n",
    "    ax.autoscale_view()\n",
    "    ax.invert_yaxis()\n",
    "\n",
    "    \n",
    "    data = c\n",
    "    ax = axes[2]\n",
    "    ax.patch.set_facecolor('black')\n",
    "    ax.xaxis.set_major_locator(plt.NullLocator())\n",
    "    ax.yaxis.set_major_locator(plt.NullLocator())\n",
    "    colors = ['#1199ff', '#ee3311', '#66ff22']\n",
    "    for (m, n), w in np.ndenumerate(data):\n",
    "        size = 0.97\n",
    "        color = '#1199ff' if w > 0 else '#eeeeee'\n",
    "        color = '#eeeeee'\n",
    "        rect = plt.Rectangle([n - size / 2, m - size / 2],\n",
    "                             size, size,\n",
    "                             facecolor=color,\n",
    "                             edgecolor=color)\n",
    "        ax.add_patch(rect)\n",
    "        color = '#1199ff'\n",
    "        #size = 0.8\n",
    "        rect = plt.Rectangle([n - size / 2, m - size / 2],\n",
    "                             size, size,\n",
    "                             facecolor=color,\n",
    "                             edgecolor=color)\n",
    "        ax.add_patch(rect)\n",
    "        ax.text(m, n, \"%d\" % data[n, m], ha='center', va='center', fontsize=12)        \n",
    "    ax.autoscale_view()\n",
    "    ax.invert_yaxis()\n",
    "    \n",
    "    #fig.tight_layout()\n",
    "        \n",
    "    if filename:\n",
    "        fig.savefig(filename + \".png\", dpi=200)\n",
    "        fig.savefig(filename + \".svg\")\n",
    "        fig.savefig(filename + \".pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "a = np.array([[11, 12, 13], [21, 22, 23], [31, 32, 33]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "b = np.array([[1, 2, 3]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABVgAAAHbCAYAAAA+kfG0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a8c77d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 237,
       "width": 684
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array_broadcasting(a, b, filename=\"array_broadcasting_1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABVgAAAHbCAYAAAA+kfG0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nACB6ACupAIvoRUn7AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109375510>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 237,
       "width": 684
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_array_broadcasting(a, b.T, filename=\"array_broadcasting_2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Versions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%reload_ext version_information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/json": {
       "Software versions": [
        {
         "module": "Python",
         "version": "2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]"
        },
        {
         "module": "IPython",
         "version": "4.0.0"
        },
        {
         "module": "OS",
         "version": "Darwin 14.5.0 x86_64 i386 64bit"
        },
        {
         "module": "numpy",
         "version": "1.9.2"
        },
        {
         "module": "matplotlib",
         "version": "1.4.3"
        }
       ]
      },
      "text/html": [
       "<table><tr><th>Software</th><th>Version</th></tr><tr><td>Python</td><td>2.7.10 64bit [GCC 4.2.1 (Apple Inc. build 5577)]</td></tr><tr><td>IPython</td><td>4.0.0</td></tr><tr><td>OS</td><td>Darwin 14.5.0 x86_64 i386 64bit</td></tr><tr><td>numpy</td><td>1.9.2</td></tr><tr><td>matplotlib</td><td>1.4.3</td></tr></table>"
      ],
      "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 & 4.0.0 \\\\ \\hline\n",
       "OS & Darwin 14.5.0 x86\\_64 i386 64bit \\\\ \\hline\n",
       "numpy & 1.9.2 \\\\ \\hline\n",
       "matplotlib & 1.4.3 \\\\ \\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 4.0.0\n",
       "OS Darwin 14.5.0 x86_64 i386 64bit\n",
       "numpy 1.9.2\n",
       "matplotlib 1.4.3\n"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%version_information numpy, matplotlib"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}