Numerical_Python_Johansson/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 - Scientific Computing and Data Science Applications with Numpy, SciPy and Matplotlib](https://www.apress.com/us/book/9781484242452) (ISBN 978-1-484242-45-2)."
   ]
  },
  {
   "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": {
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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 235
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 235
      }
     },
     "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": 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X49vnkZWVZWxslZcVbJ/KWWedpbS0NEneIg6ke/fukqTvv/9ehw4dMjY+05ychSluyUJydx45OTn+4w46d+4cdDpfHuvWrXP00dpuzCI3N1dffPGFfvWrX2ndunWSvLtTgnFLFiZEfLGuX79eknThhRcGfD4vL08FBQWSpObNmwddju+5/fv3Gxubb1lNmzat9ojTU712mzZtlJSUJOnHn9eJnJyFKW7JQnJ3Ho8++qiKi4uVmJjo3/weSJcuXSR5fxYnfhDzcUsWn332mf8UtLZt2+rKK6/U22+/raSkJD3xxBO68sorg87rlixMiPhi9b3Bgh2O7XuzSqq23Hw77CtPHyrf6TWnOo3jdF7b9/Pt27fP0OjMc3IWJrkhC8m9eXz88cd69tlnJUnTp08PuulUkpo0aeLfd+7ED2I+bskiNjZW6enpSk9P9/+7NmzYUDNnztTIkSOrndctWZgQ8cV6+PBhSd5QA6l8Hq9lWWdkTCe/tonX9f18ps+tM8nJWZjkhiwkd+aRmZmpX//61/J4PLrqqqv0m9/8ptrpfee/Sj/+vE7klix69uypzMxMZWZmau/evVqxYoUuv/xy/fd//7euuuoq7dmzJ+i8bsnChIgvVt8JzHFxcQGfr3wkbrDz4So/16hRI2Nj8y2rutc93deOj48/rWXVJSdnYZIbspDcl8f27ds1cuRI5eTkqFevXpo/f/5plYxvDe9UV8+qS27LQpJiYmLUtWtXvfLKKxoyZIi++eYb3XvvvdXO44YsTIj4Ym3atKkkBb38WVJSkv9NWN2mO99zzZo1MzY23/6QnJycat9op/PaR48elWT8CiRGOTkLk9yQheSuPHbv3q1hw4Zp79696tq1qxYuXHja5eGGPNyURSC+g5bef//9arfUuCELEyK+WH0B+gI9mWVZ6tixo6TgR91KPx5lF+zo3dqovKxgO/MPHz7sP6G6uqMBff8hzzrrLGPjM83JWZjkhiwk9+Sxf/9+DR8+XNu3b1eHDh305ptvqnHjxqc1b3FxsX8tzsm/zN2SRTAtWrTw/33btm0Bp3FLFiZEfLG2b99eknczUjD9+/eXFPz8qqKiIq1Zs0aSdPnllxsbW6dOnZSeni5J+uSTTwJO43s8Li7Of47kyY4fP+4/taNDhw7Gxmeak7MwxS1ZSO7I48iRIxoxYoS2bNmitm3b6q233qr2YKWT7dixQ5K3mJychxuyqE7lcQfbkuCWLEyI+GL1lVF1d4nxHc32/fffKyMjo8rzL774onJzc9WgQQMNHjzY2NiioqI0fPhwSdI//vGPKkfyeTwePfPMM5K8F9f27fg/2VdffaXy8nIlJib6D2l3IidnYYpbspCcn0dubq5Gjhypb7/9Vq1atdLbb799wprR6diwYYMkqWPHjo5eS3JyFmVlZdU+7/F4/NcATk1N9a9Zn8wtWZgQ8cXqu5PC119/HfQKLRdddJGGDRsmSZo0aZI++OADSd4rurz22mv605/+JEn6zW9+479YQ2WTJk1SSkpK0JO7qzN16lQlJSVp165dGjt2rHbt2iVJOnTokCZNmqT169crLi5O06dPD7oM3zlwvXv3DvmyfOHk9Cw8Ho8OHz7s/6p8CckjR46c8FwwbslCcnYeBQUF+uUvf6mNGzeqefPmevvtt/3X0a4JXx6+KxI5lZOz+OyzzzR06FD985//POE6v2VlZVq7dq1+8Ytf+O9887vf/U5RUYFrxS1ZmGD+HmgO0717d7Vt21bZ2dlatWpV0E0ks2fPVnZ2tr788kv98pe/VMOGDVVeXq7i4mJJ3jXG6sqttpo1a6bnn39et9xyi5YvX66LLrqoym3jnnzyyWqvLuP7D+Zb+3Uqp2exa9cu/zVPT3by2mewAzTckoXk7Dzeffdd/9WI8vLyTriF3Ml69+6tF198MeBzH374oSTn5+HkLCTvJRdXrlwpybupNyEhQbm5uSotLZXk3fo2depUTZgwIegy3JKFCRG/xmpZlsaMGSNJWrx4cdDpkpOT9a9//Uv333+/unTpIsuyFBcXp0suuUSPPfaYXn311aD3OPQdiee7ZFdNDRgwQCtWrNBNN92kli1bqqioSOnp6Ro2bJiWLVsW9F6sknTw4EGtWrVKiYmJ/k+zTuWGLELhpiwkZ+dR+ZJ3BQUFOnDgQNCvnJycgMvYsGGDtm7dqrZt2/r3TzqVk7O4+OKLNWfOHN14443q3LmzEhISdOzYMTVo0EBdu3bVHXfcoRUrVmjmzJlBl+GmLEyoFzc637t3r7p166bExERt3rzZf56hCWVlZWrXrp0KCgr073//O+glycLl2Wef1fTp0zVu3Dg9/vjjRpcdjps5k0XtkUfNzJw5U3PmzNF9992nadOmGV02WdRMOLOQuNF5nWjRooXGjx+vnJwcvfrqq0aX/eWXXyo/P1+DBw8+42/W8vJyzZ07V/Hx8frtb397Rl+7tsjCWSI1j9zcXL388stKTU3V7bfffkZfu7bIInLUi2KVpHvuuUeJiYl64oknTnmUW02sXr1akk55xZFweOONN7Rt2zaNHz++Vgd21BWycJZIzGPu3LnKzc3VtGnT/DdFcAOyiAz1YlOwz5IlS7Rp0ybddNNN/psku9nChQu1detW3X777TU6t+90hWNzlw9Z1Bx5nL558+bp6NGjuvvuu41uUvUhi9MX7iwk520KrlfFipoJ5y8P1Bx5OAdZOIvTirXebAoGAOBMoFgBADCIYgUAwCCKFQAAgyhWAAAMolgBADCIYgUAwCCKFQAAgyhWAAAMolgBADCIYgUAwCCKFQAAgyhWAAAMolgBADCIYgUAwCCKFQAAgyhWAAAMolgBADCIYgUAwCCKFQAAgyhWAAAMolgBADCIYgUAwCCKFQAAgyhWAAAMolgBADCIYgUAwCCKFQAAgyhWAAAMolgBADCIYgUAwCCKFQAAgyhWAAAMolgBADCIYgUAwCCKFQAAgyzbtkNfiGV9IalH6MMBAKBOrbdtu2coC4gxNRKTms4NvewRupwJFlk4CHk4B1k4S84Eq66HcAI2BQMAYBDFCgCAQRQrAAAGUawAABhEsQIAYBDFCgCAQRQrAAAGUawAABhEsQIAYBDFCgCAQRQrAAAGUawAABhEsQIAYBDFCgCAQRQrAAAGUawAABhEsQIAYBDFCgCAQRQrAAAGUawAABhEsQIAYBDFCgCAQRQrAAAGUawAABhEsQIAYBDFCgCAQRQrAAAGUawAABhEsQIAYBDFCgCAQRQrAAAGUawAABhEsQIAYBDFCgCAQRQrAAAGUawAABhEsQIAYFC9Ktbc/+2vnN/EqPzAlroeihEFL/1aORMslX79Xl0PpcbIwlkiLY+82Vcq585ole/+uq6HUmNk4X4xdT2AM6Vk4zsq/+FTxfUeo+j09ic8Z3s8Kvt+hcqzP1fZ9v+oPPtzeQ5nS5Ia3vSM4i+/M+zjK9//vYoy/qLSzR/Iztsvq9FZiulwmRIG3auYNj0DzpNw9QyVrH5OhW/9j2IuvEZWlDs+Jzk1C0/+IZVlLVdZ9n9Uvv1zlW3/QirKlSQ1ebpQVmxC0HndmoXk3DzK92WqZP1ilX33icr3bJKdf0iKbaDo5p0Ue/FQxV8xSVENmwScN+Hamcr/9kMV/nOGEu9aErYxmubULEqzlqt0079Uvt37mp68A1J5maIaN1d0u36Kv3SCYjtdEXBet2YRinpRrLbHo8K3/keyLCVc+/uqzxflKv+xgXUwMq/SzR8o/5lhUslxSZLVoLHs3H0q/c/rKl3/phqOe07xfW+uMl90WjvF9RqtkrUvq+TzBYrvM+ZMD73GnJxFyWcvq3DRtFrN68YsJOfmUbblU+U92v/HByzL+/+iMFfl2Z+rPPtzFf/7/ylp8vuKbtWlyvyxHS9XTPtLVfr1eyrbskox7ftXmcZpnJqFJBX96xGVbc748YGEZEml8hzeLs/h7Sr9/DXFD7xbDX/5RJV53ZhFqNzzsToEZZsz5NnzjWLO66/oFp0DTxTfSDHtL1X8z6ap0W2vykpufkbG5jm2T/lzR0klxxXT+UolP5ytJrOPqvH/7lNc7zGSp0zHX7pN5Xu+CTh/XP/bJUnFHz52RsYbKidnIcuS1fRsxXYbroShDylh2MM1mt1tWUjOzcMuL5WiYxXb60Yl3vWemszOVZPHc9TkyXw1uu0VWUlpsnN2Kf/v18kuKQy4jLj+t0mSij58POzjNcGpWUhS7IVXqeFNzyj5/k1q8tRxNX3imJo8XaTkWVmK6zdOklT88ZMq/uylgPO7LYtQ1Ys11uJV8yVJsb1uDPi81aCxmszOPWHzXeFbM2SfgbEV/esvUlGurKatlXjnYlkJiZKkqOR0Nbz1BZXvy1T5ji9U+M4flHjnm1Xmj2l/qawmrVS+Y73Kdn6pmNbdzsCoa8/JWcQPuEsJP5vi/74065Maze+2LCTn5hGd3l7Jf8pUdFq7E8cT10BxvW+S1bil8h8bIM/h7Sr5YqHiK365VxbXbbiOx96p0q/elSf3gKKS08M86tA4NQtJSvh51S05lmUpullHNRr/vDwHt6psy0qVrH5e8X1vqTKt27IIVcSvsXryD6v0q3cly1JczxsCTmNZVp3sE7M9HpX85zVJUvzlv/GXqn9cUdFKuPK3kqTSr5fILsytsgwrKkpxPUZJkkpWPxfmEYfGyVlI3n/v0OZ3TxaSs/OIanp2lVKtLLbTFYo6q60kqXz7FwGnsRokK/aCq6TyUpWseyUcwzTGyVmcjug2l0iSPMf2BHzeTVmY4MyUDCrLWi6VlyoqvYOiktLqejgn8OzdLDt3vyTvppZAYi4Y5P1LWYnKtqwKPE37n0qSSjcvMz9Ig5ychSluyUJyfx5Wo7O8f/GUB50m5jx35OHmLGzbVln2WklSVOq5QadzSxYmRH6x/vCpJCn6nMBH1tal8r2b/X+PbnFBwGmiElNlJaVXmb4y/6fFfZny5B00PEpznJyFKW7JQnJ3Hp6CIyrfs0mSAh685BPd1ptH2Q+rZXs8Z2RsteHGLOzCYyrbtk4F836p8h9WS5ISrrgr6PRuycKEiN/HWpa9TpIUc/ZFdTySqjzH9kqSrEYp1Z7KEdWkpcrzDvinP1l06rneo/SKclWevU5RXQeHZbyhcnIWprglC8ndeRS994BUVizFJyq2YvN7INFnX1wxQ648+75VdMsLz9AIa8YtWZRtWaW8Ry+t+kRCshre8Jhiu14bdF63ZGFCxK+x2r7ySkyt45FUZRcXeP8S26D6CeMaVkyfH3SSqETvZrFg5esETs7CJDdkIbk3j9LNy1T88ZOSpAbXz6p206nVsKlUse/cyXm4JovoOFnJzWQlN/P/uyquoRoMe0hxvUdXO6tbsjAh4ovVk39IUkWojlNxPJ9lhbwk389nV/y8TuTsLMxxQxaSO/Mo37NZBfNHS7ZHsV2vU/zPplY7vVVx/qvk7DzckkXMub3V5NF93q+ni5Q0c4NiO/9cha9NVt4j/eTJ2R10XrdkYULEF6vKir1/RsfV7TgCsOIrjgKuuDBEUL4LR8QnBp+mYlNysHP6HMHBWRjlhiwk1+VRfmib8p4YJLvgiKLb9VOjX78m63Q+lLohD5dlIUlWdIxiWndT4sS3FdtjpMp3faXjCyZWP5MbsjAg4ovVapgiSbILj9bxSKqKatJSkmQXHJFdWhR0Os9R7yHsUY1bBJ3GPp4jSbIqNkM6kZOzMMkNWUjuysOTs0v5j/9M9tHdim7dTYmTl8qKb3Ra89oFzs/DTVkEEl9x0FLpxnfkyT8cdDo3ZGFC5BdrxT4L3y87J6l8JHCwI349+Ydk5x2oMv3JfG/YKAfvo3FyFia5IQvJPXl4ju1T3uM/k+fQNkU1P1+JU5YFvUbwyezSYqnUu3bk5DzckkUwUU1a+f/uOfhDwGnckoUJEV+s0c07SZI8h7bV8Uiqimre2XsQgKSyzR8EnMb/eExc0Gts2iXHZecfrFjm+eYHaoiTszDFLVlI7sjDk39YebOvlGf/d4pKbaekaR/V6DxP30XqZVmKatYpPIM0wA1ZVMdz+MdxB9tl5ZYsTIj4YvWdlFy+/T91PJKqrKgoxV3ivXxZ8Yq5DoCSAAAgAElEQVQ5Px4lXMH2eFT0kffamrEXDZHVIDngcsp3rPeeJJ+Q9OMh7Q7k5CxMcUsWkvPzsAuPKf+JQfLs2eS95OdvP/bvPjldZdmfS/J+iI1y8OZHJ2dhl5dV/7zHo6IPvNfHtpLSgn6gdEsWJkR+sVas5ZXt3CC7miu02IXH5Mk/5P/yncBslxSc+HhpcZV5C54fr5wJlo79T9sajy/h6ulSQrI8R3Yo//+NkOfIDkmSJ++gjr8wXuXZn0sxcWow5E9Bl+F7w8a0+0nIl+ULJ6dnYXs8Jy6/8NiPz+UfPuG5YNySheTsPOziAuU9NVjlO9bLatxCSb/9WNFntanRMiSpfHtFHh0CnHvpIE7OomzLKuU9NlAl/1koT+6BH8dSXqayH1Yr/6lr/Xe+Sbh2ZtDLLrolCxMi/gIR0W0uUVRqO3kObVVZ1ieK7fyzgNPlzxmqsu9WVHm88I17VPjGPf7vG457TvE/GW9sfFGNmytxwhvKf2aYyjYv07EZbby3xyrKlWxbiopRw1v+Ue3J1L6ba8dd8ktj4woHp2fhObJDub8PfEm2Y9PPPuH7pnMDX/rcLVlIzs6jZP2bKq+4GpFdlHviLeROEtPuJ0r8zeKAz5VuWirJ+Xk4OQvJe8nFsqzl3m/iG8mKbeD94Fle6n3MilLC1dOVMPDuoMtwSxYmRPwaq2VZivvpryTJf8F703wnO0e36VWr+WMvuFLJM79U3E9uldX0bNmlhbKSmim25y+UNP2zgPdi9b927gGVffeJFJ+ouEt+UavXP1PckEVIr+2iLCSH52FXuuRdcYHs3P3Bv44fCbiIsuz/yHNgi6JS2ymm4xW1/AnODCdnEdOmpxqOf0FxfccqqmUXb6kePyorrqGiW3dT/IDJSpq5QQ2GPRR0GW7KwoSIX2OVpPif3KqiJX9S6YbFsm98WlZsfJVpkn73Sa2W7dscIstSwuD7aj3G6GYd1Gjc/9V4vpL/vC55yr230jrN0w/qkpOziE5tG3RN9HS4LQvJuXnE/2R8yGtcJZ8vkOS9T+5pne9ax5yahZWQpPh+YxXfb2ytXltyXxahivg1Vsl7vmj8pRNkFxwxfjuv8h1fSMX5iu02/Ixf59P2lKv44yekmHglXPM/Z/S1a4ssnCVi8yg8ppJP/yErKU0JA4JfGN5JyCJy1ItileT9lBafqKKMR055lFtNlH337x+Xf4aVrHtVnoM/KP6yO2t1YEddIQtnicQ8ij5+UnbhMSVc/T+yEpLO+OvXFllEBsu2Q7//vGVZX0jqEfpwvELZHFedkg3/VPmujYrrN17RqW3D8hpnUvFnL8tzcIvir5gUlns45kywyOI0hTsLiTxqomj507KP5yhh0H8F3KQaKrI4feHOQvLmYdB627ZDun9fvSpW1Ew4f3mg5sjDOcjCWZxWrPVmUzAAAGcCxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYZNm2HfpCLOsLST1CHw4AAHVqvW3bPUNZQIypkZh05MiRuh4CJKWkpJCFg5CHc5CFs6SkpNT1EE7ApmAAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMKheFes111yjtLQ0bd26ta6HYsTw4cOVmpqqzZs31/VQaowsnCWS8vB4POrTp49at26tAwcO1PVwaoU83K3eFOv777+vtWvXasSIEWrXrt0Jz+Xm5ur111/XnXfeqT59+qhVq1Zq2bKlevTooUmTJumrr74K+/g2bNig2267TRdccIFatGihrl276u677672P9Y999wjj8ejWbNmhX18Jjk1i927d2vRokWaMWOGrr76arVq1UopKSk6//zzTzmvW7OQnJvHl19+qYcfflhDhgxRx44dlZ6ernbt2unaa6/V3LlzVVRUFHC+qKgoTZ06VQUFBfrrX/8atvGFi1PzWLp0qWbMmKFrrrlGF110kVq1aqVWrVrpkksu0eTJk7Vx48aA87k9j9qwbNsOfSGW9YWkHqEPx+vIkSOmFiXJ+4mpf//+ysrK0urVq9WpU6cTnr/kkktOKLCGDRvKtm0VFhZKkqKjo3X//ffrrrvuMjounwULFmjKlCkqKyuTZVlKSkpSbm6uJKlRo0Z65ZVXdNlllwWcd/DgwVqzZo2WLl2qvn37Gh1XSkpKvcpixowZmjt3bpXH09PTlZmZecr5w5mFVL/yWLRokSZMmOD/PioqSklJSTp27Jj/sU6dOunNN99Uy5Ytq8xfVlamXr16ac+ePVq3bp3atGljdHzhyEJybh6S1KdPH33//ff+7xs3bqyCggKVlZVJ8mZ0//33a/LkyVXmPRN5GLTetu2eoSygXqyxfvTRR8rMzFTfvn2rvFElqbS0VBdddJEeffRRbdy4Ubt27dLOnTu1cuVKXXrppSovL9cf/vAHffDBB8bH9s0332jq1KkqKyvTDTfcoKysLGVnZ2vjxo264oorVFBQoHHjxunQoUMB57/55pslSXPmzDE+tnBwchaWZencc8/V8OHDNWvWLE2cOLFG87stC8m5eZSWlqphw4YaO3as3n77be3evVvbtm3T9u3b9cgjj6hRo0bKysrSuHHjFGjlICYmRjfeeKNKS0s1b948o2MLJ6fmIUnDhg3TU089pc8//1z79u3Ttm3btG/fPq1YsUKDBg2Sx+PR/fffr9WrV1eZ16151Fa9WGMdO3aslixZokcffVS33XZblefXrFmjfv36BZy3sLBQAwYM0Hfffaf+/fvrnXfeMTq2m2++WUuXLlX37t21bNkyRUdH+5/Lz89Xv379tHv3bk2cOFEPPvhglflzc3N1/vnnq7y8XJs2bVJaWpqxsYXjU7mTsygvLz/h3//VV1/VXXfdddprrOHMQqpfeWzZskXJyclKT08P+PyCBQs0adIkSdK7776rn/70pwGX0bt3b6Wmpuqbb75RbGyssfGFa43VqXmcSklJifr27avs7GyNGTNGTz31VJVpwp2HQayxnsqRI0eUkZEhy7I0dOjQgNMEe6NKUoMGDTR8+HBJ3n0+Jh07dsz/yXLixIkn/FKXpMTERN16662SpMWLFwf8ZJ6cnKyBAweqtLRUixYtMjo+05ychaQq//415aYsJGfn0b59+6ClKkmjRo1SXFxcta/dvn17denSRYcOHVJGRobR8YWDk/M4lbi4OHXp0kWStG/fvoDTuC2PUER8sa5cuVKlpaU677zzlJqaWqtl+D4NeTwek0PTZ599ptLSUknSgAEDAk4zcOBASd43a1ZWVsBpevfuLUlavny50fGZ5uQsTHFLFpK784iNjVViYqIk75aGYPr06SOJPMKtqKjIf+BUdftP3ZRHKCK+WNeuXStJuvjii2u9jE8//VSSTuvo0JrwFWWzZs2CbsqovJ8lWLF2795dkrRu3TrHFo7k7CxMcUsWkrvz+Pbbb/2bYjt37hx0um7duknybkJ1OjfmkZOTo1WrVmn06NHasWOHoqOj/VvZAnFTHqGI+GJdv369JOnCCy+s1fwbN27Ue++9J0kaM2aMsXFJP24yad68edBpGjRooMaNG0uS9u/fH3Aa3yaYvLy8oOXrBE7OwhS3ZCG5O4+HH35YknT22Wfr8ssvDzqdL4+srCzl5eWdkbHVllvyWLhwoVJSUpSSkqLzzjtP119/vVasWKG0tDS98sor1Y7fTXmEIuKL1VdGtdm5nZeXpzvuuEPl5eW6+OKLdcsttxgd2/HjxyVJCQkJ1U7XsGFDSVJBQUHA55s0aeLfPxisfJ3AyVmY4pYsJPfm8cILL/gL5KGHHvLvaw3krLPOkiTZtq2DBw+ekfHVllvySEhIUHp6utLS0hQV5a2QlJQUPfjgg/5dV8G4KY9QRHyxHj58WJL3F15NlJWV6Y477tD333+vxo0ba/78+YqJiTE6Nt/BSJZlhbQcy7KUnJws6cef14mcnIUpbslCcmcen376qaZPny5Juv322zVkyJBqp/dt7ZHIw5Trr79emZmZysrK0u7du7V06VJ17NhREyZM0MiRI/3n4AfipjxCEfHFWlJSIknVfqo9mcfj0aRJk5SRkaGGDRtqwYIFOu+884yPrVGjRpLkP7k7GN+arW/6QHxrvcGuRuMETs7CJDdkIbkvjw0bNuimm25ScXGxrrvuOv35z38+5TyVtwaRh3nx8fHq27ev3nnnHfXs2VMrV670b6YPxE15hCLii7Vp06aSdMIVW6pj27Z+97vfadGiRYqLi9OLL74YlqvoSD/uWw12eLrkLV3f2Js1axZ0uqNHj0oyfj6XUU7OwiQ3ZCG5K4/Nmzdr1KhRysvL04ABAzR//vzTOj3Kl4VEHuEUExPjP2jp1VdfDTqdm/IIRcQXqy+8yoFWZ8aMGXrhhRcUExOj+fPnn3KfQSh8R+7t378/6MnmlQ+ACXQlFkkqLi72r/U6+c3q5CxMcUsWknvy+O677zR8+HDl5OSoX79+eumll057rc5Nv8jdkkcwLVq0kOS9sE2w/aduyiMUEV+s7du3lyRt3779lNPOmjVLzz77rKKiojRnzhxdd911YR1b3759/Vcf+eSTTwJO4zvfq3nz5kGLdceOHZK8+/c6dOhgfqCGODkLU9ySheSOPLZt26bhw4fr4MGD6tGjh1577TX/wXynw5dHcnJytVt8nMANeVSn8riD7bZyUx6hiPhi9Z2QfKorkTz66KOaPXu2LMvS448/rlGjRoV9bMnJybryyislea8ve/J5jwUFBXruueckSSNHjgx6kNOGDRskSR07dnT0p0AnZ2GKW7KQnJ/Hrl27NGzYMO3du1ddunTRG2+8oaSkpBotw5dHnz59/EewOpWT8/BdaD+YwsJCzZ8/X5L3PNxgH37clEcoIvcnq+Db5/D1118HvULLM8884z8Q4pFHHqnxoepDhgxRSkrKKY9QDGT69OmKjY3V+vXrNWnSJP+Rcrt27dLYsWO1a9cuNW7cWFOmTAm6DN/5b9Vd7swJnJ5FaWmpDh8+7P/ynd5k2/YJj1e3qc4tWUjOzuPgwYMaMWKEdu7cqU6dOmnx4sU1PlpW+vEXOXl41TaPRYsW6ZZbblFGRsYJ7//i4mItX75cQ4YM8d+L+N577w26HDflEQpnnrNgUPfu3dW2bVtlZ2dr1apVAU8mnzlzpiTvbY/++te/VnvPwA8//FBnn322sfF16dJFs2fP1pQpU/T6669r4cKFVW4b98ILL1R7ibMPP/xQkvzXCXUqp2exdu1aXX/99VUeP3jw4AmbdVu3bh303pNuyUJydh7PPfectmzZIknas2eP+vfvH3TaYcOG6S9/+UuVx4uKirRy5cpqr73rJE7Ow7Ztvffee/7zhxMTExUXF6djx475PwTEx8frgQce0LXXXhtwGW7LIxQRX6yWZWnMmDF66KGHtHjx4oBvVt/5pB6P55R3uA90mTrfid2+y9nV1OjRo3X++efrqaee0po1a5STk6NWrVrpiiuu0LRp06rc7LiyDRs2aOvWrWrbtm21v3ycwA1ZhMJNWUjOzqPysvLy8qq9Sk+w5zIyMpSfn69LL71U5557bo1evy44OY9Bgwbpscce04oVK7R582YdPHhQubm5SkpKUrt27XTZZZdp7Nixatu2bdBluC2PUNSL28bt3btX3bp1U2JiojZv3qz4+Hhjy96/f786d+6sBg0aaMOGDdXekSMcZs6cqTlz5ui+++7TtGnTjC47HLfGIovaI4+a8d2Cbd68eRo5cqTRZYfrtnHkUTvcNq4OtGjRQuPHj1dOTk6151jVhu+i17feeusZf6Pm5ubq5ZdfVmpqqm6//fYz+tq1RRbOEql5bN26Ve+//746derkis3yPuQRGepFsUrSPffco8TERD3xxBOnPMKtJtasWaOEhARNnjzZ2DJP19y5c5Wbm6tp06bV+GjJukQWzhKJeTz++OMqLy/XzJkzXXf0KXm4X73YFOyzZMkSbdq0STfddJPOOeecsLzGmTRv3jwdPXpUd999t9FNRj7h2twlkUVtkMfp8Xg8mj17tmJjY8NWIuHMQiKPmnLapuB6VayomXD/8kDNkIdzkIWzOK1YI3+dHACAM4hiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyiWAEAMIhiBQDAIIoVAACDKFYAAAyybNsOfSGW9YWkHqEPBwCAOrXetu2eoSwgxtRITDpy5EhdDwGSUlJSyMJByMM5yMJZUlJS6noIJ2BTMAAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYRLECAGAQxQoAgEEUKwAABlGsAAAYVK+K9ZprrlFaWpq2bt1a10MxYvjw4UpNTdXmzZvreig1RhbOEkl5eDwe9enTR61bt9aBAwfqeji1Qh7uVm+K9f3339fatWs1YsQItWvX7oTn9uzZoyeffFLjx49X37591b59e6Wnp6t9+/a67rrr9Oyzz6q4uDis49uwYYNuu+02XXDBBWrRooW6du2qu+++u9r/WPfcc488Ho9mzZoV1rGZ5tQsdu/erUWLFmnGjBm6+uqr1apVK6WkpOj8888/5bxuzUJybh5ffvmlHn74YQ0ZMkQdO3ZUenq62rVrp2uvvVZz585VUVFRwPmioqI0depUFRQU6K9//WtYxhZOTs1j6dKlmjFjhq655hpddNFFatWqlVq1aqVLLrlEkydP1saNGwPO5/Y8asOybTv0hVjWF5J6hD4cryNHjphalCTvJ6b+/fsrKytLq1evVqdOnU54/s0339Svf/1r//fx8fGKi4tTXl6e/7GOHTtq8eLFatmypdGxSdKCBQs0ZcoUlZWVybIsJSUlKTc3V5LUqFEjvfLKK7rssssCzjt48GCtWbNGS5cuVd++fY2OKyUlpV5lMWPGDM2dO7fK4+np6crMzDzl/OHMQqpfeSxatEgTJkzwfx8VFaWkpCQdO3bM/1inTp305ptvBnzdsrIy9erVS3v27NG6devUpk0bY2OTwpOF5Nw8JKlPnz76/vvv/d83btxYBQUFKisrk+TN6P7779fkyZOrzHsm8jBovW3bPUNZQL1YY/3oo4+UmZmpvn37VnmjStLZZ5+t//qv/9Lbb7+tH374QXv37tX27duVnZ2txx9/XImJifruu+80ceJE42P75ptvNHXqVJWVlemGG25QVlaWsrOztXHjRl1xxRUqKCjQuHHjdOjQoYDz33zzzZKkOXPmGB9bODg5C8uydO6552r48OGaNWtWjV/DbVlIzs2jtLRUDRs21NixY/X2229r9+7d2rZtm7Zv365HHnlEjRo1UlZWlsaNG6dAKwcxMTG68cYbVVpaqnnz5hkdWzg5NQ9JGjZsmJ566il9/vnn2rdvn7Zt26Z9+/ZpxYoVGjRokDwej+6//36tXr26yrxuzaO26sUa69ixY7VkyRI9+uijuu2222o8/0svvaQpU6ZIkr766iudffbZxsZ28803a+nSperevbuWLVum6Oho/3P5+fnq16+fdu/erYkTJ+rBBx+sMn9ubq7OP/98lZeXa9OmTUpLSzM2tnB8KndyFuXl5Sf8+7/66qu66667TnuNNZxZSPUrjy1btig5OVnp6ekBn1+wYIEmTZokSXr33Xf105/+NOAyevfurdTUVH3zzTeKjY01MjYpfGusTs3jVEpKStS3b19lZ2drzJgxeuqpp6pME+48DGKN9VSOHDmijIwMWZaloUOH1moZPXr8+Jlh3759poamY8eO6YMPPpAkTZw48YRf6pKUmJioW2+9VZK0ePHigJ/Mk5OTNXDgQJWWlmrRokXGxhYOTs5CUpV//5pyUxaSs/Pw7TsMZtSoUYqLi5Pk3RcbbBldunTRoUOHlJGRYWxs4eLkPE4lLi5OXbp0qfZ13ZZHKCK+WFeuXKnS0lKdd955Sk1NrdUy1q1b5//7OeecY2po+uyzz1RaWipJGjBgQMBpBg4cKMn7Zs3Kygo4Te/evSVJy5cvNza2cHByFqa4JQvJ3XnExsYqMTFRkndLQzB9+vSRRB7hVlRUpK+++kqSqt1/6qY8QhFT1wMIt7Vr10qSLr744hrNV1JSor1792rJkiX685//LEkaOnRotZ+ia8pXlM2aNQu6KaPyfpasrKyAR6h2795dkvc/lcfjUVSUMz8vOTkLU9ySheTuPL799lv/ptjOnTsHna5bt26SpDVr1pyRcYXCjXnk5OTom2++0d/+9jft2LFD0dHR/q1sgbgpj1BEfLGuX79eknThhRee1vQ9e/bUtm3bTnjMt2km0H6DUPg2mTRv3jzoNA0aNFDjxo117Ngx7d+/P+A0vk0weXl5ysrKqvYXTV1ychamuCULyd15PPzww5K8B/NcfvnlQafz5ZGVlaW8vDwlJSWdkfHVhlvyWLhwoe68884qj6elpempp56qdvxuyiMUzv04bYivjE535/ZZZ52l9PR0/2YmyXs03H333XfCYyYcP35ckpSQkFDtdA0bNpQkFRQUBHy+SZMm/v2DwcrXCZychSluyUJybx4vvPCC3nvvPUnSQw895N/XGshZZ50lSbJtWwcPHjwj46stt+SRkJCg9PR0paWl+bfIpKSk6MEHH/TvuqpuzJI78ghFxBfr4cOHJXl/4Z2OZcuWKTMzUzt27FBmZqZ+//vfa9myZerfv7/eeusto2PzHYxkWVZIy7EsS8nJyZJ+/HmdyMlZmOKWLCR35vHpp59q+vTpkqTbb79dQ4YMqXb6xo0b+/9OHmZcf/31yszMVFZWlnbv3q2lS5eqY8eOmjBhgkaOHOk/Bz8QN+URiogv1pKSEkmq9lNtMOnp6frd736nefPmqaioSHfddZf27NljbGyNGjWSJBUWFlY7nW/N1jd9IL613mBXo3ECJ2dhkhuykNyXx4YNG3TTTTepuLhY1113nX9/YnUqbw0iD/Pi4+PVt29fvfPOO+rZs6dWrlzp30wfiJvyCEXEF2vTpk0l6YQrttTU1VdfrdatW+v48eNavHixqaH5961Wd1h8YWGhf+zNmjULOt3Ro0clGT+fyygnZ2GSG7KQ3JXH5s2bNWrUKOXl5WnAgAGaP3/+aZ0e5ctCIo9wiomJ8R+09Oqrrwadzk15hCLii9UXXuVAa6NFixaSpOzs7FCH5Oc7wnf//v1BTzavfIpNoCuxSFJxcbF/rdfJb1YnZ2GKW7KQ3JPHd999p+HDhysnJ0f9+vXTSy+9dNprdW76Re6WPE71uvn5+UH3n7opj1BEfLG2b99ekrR9+/aQlrNz505J1W+Oram+ffv6rz7yySefBJzGd75X8+bNgxbrjh07JHn373Xo0MHY+ExzchamuCULyR15bNu2TcOHD9fBgwfVo0cPvfbaa/6D+U6HL4/k5ORqt/g4gRvyqE7lcQd7bTflEYqIL1bfCcnBrs4iyX8R6WAWLVqkvXv3SpL69etnbGzJycm68sorJXmvL+vxeE54vqCgQM8995wkaeTIkUEPctqwYYMk78W3nfwp0MlZmOKWLCTn57Fr1y4NGzZMe/fuVZcuXfTGG2/U+PQMXx59+vRx9DnFkrPzONXrFhYWav78+ZK85+EG+/DjpjxCEbk/WQXfXUa+/vrroFdoGTx4sGbPnq3MzMwTptm1a5ceeeQR/90aunXrpkGDBlWZf8iQIUpJSTnlEYqBTJ8+XbGxsVq/fr0mTZrkP1Ju165dGjt2rHbt2qXGjRv7r/8ZiO/8NycWTWVOz6K0tFSHDx/2f/lOb7Jt+4THq9tU55YsJGfncfDgQY0YMUI7d+5Up06dtHjx4tM+WrYy3y9y8vCqbR6LFi3SLbfcooyMjBPe/8XFxVq+fLmGDBnivxfxvffeG3Q5bsojFBF/gYju3burbdu2ys7O1qpVqwKeTL5v3z7NmjVLs2bNUmxsrJKSklRcXHzCeaM9evTQK6+8YvxTVpcuXTR79mxNmTJFr7/+uhYuXFjltnEvvPBCtZc4+/DDDyV5b7btZE7PYu3atbr++uurPH7w4METNuu2bt066L0n3ZKF5Ow8nnvuOW3ZskWS9x6k/fv3DzrtsGHD9Je//KXK40VFRVq5cmVI1949k5ych23beu+99/znDycmJiouLk7Hjh3zF3x8fLweeOABXXvttQGX4bY8QhHxa6yWZWnMmB4aRp0AAAO5SURBVDGSFPQoub///e+aMmWKevXqpbS0NBUUFMjj8eicc87Rddddp3nz5ikjIyPoPgHfid2+y9nV1OjRo5WRkaFhw4YpPT1dRUVFatWqlcaMGaMVK1YEvRer5P0EuHXrVrVt27baXz5O4IYsQuGmLCRn51F5t0heXp4OHDgQ9KvyvUgry8jIUH5+vvr3769zzz23Rq9fF5ycx6BBg/TYY49p6NCh6tChg2JiYpSbm6ukpCT16NFDU6dO1Zo1a3T77bcHXYbb8ghFvbht3N69e9WtWzclJiZq8+bNio+PN7bs/fv3q3PnzmrQoIE2bNhwxq9fO3PmTM2ZM0f33Xefpk2bZnTZ4bg1FlnUHnnUjO8WbPPmzdPIkSONLjtct40jj9rhtnF1oEWLFho/frxycnKqPceqNj799FNJ0q233nrG36i5ubl6+eWXlZqaWu0nRSchC2eJ1Dy2bt2q999/X506dXLFZnkf8ogM9aJYJemee+5RYmKinnjiiVMe4VYTa9asUUJCgv+ggTNp7ty5ys3N1bRp01x1MWuycJZIzOPxxx9XeXm5Zs6c6bqjT8nD/erFpmCfJUuWaNOmTbrpppsceS/Pmpo3b56OHj2qu+++2+gmI59wbe6SyKI2yOP0eDwezZ49W7GxsWErkXBmIZFHTTltU3C9KlbUTLh/eaBmyMM5yMJZnFaskb9ODgDAGUSxAgBgEMUKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBlm3boS/Esr6Q1CP04QAAUKfW27bdM5QFsMYKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBFCsAAAZRrAAAGESxAgBgEMUKAIBBpoq1raHlAABQl9qGuoAYA4OQpNyKP7MNLQ8AgDOtrX7ss1qzbNsOfSgAAEAS+1gBADCKYgUAwCCKFQAAgyhWAAAMolgBADCIYgUAwCCKFQAAgyhWAAAMolgBADCIYgUAwCCKFQAAgyhWAAAMolgBADCIYgUAwCCKFQAAgyhWAAAM+v9pLj5EXWcBKwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 235
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 235
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 235
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 235
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 235
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 235
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 235
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 235
      }
     },
     "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": 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vh8EuS4WNdWnk99Z/r1RKfexw+bHO218ptUwpdb9Sqh/05cLroHu62uHou3HsM612VlDWlHitv6F6IIKdhdvb5fQgyxuzY2m72L8NtymlZiulKreP9TnGNiilHlFKDYQ+SRkJffdWCoA3AsbD2dtMoC+DhpvdnjVYT319A4w11t9eIpIaJM3AIO+faP09oJQK1s3/2xCfbXdjhYou7c9YW4f8G4tzRCRY15m97Y9Aj+6uiXRUXCaI9HYLWX/Wj3F1vSkfQn//063bau1AI9Tt01usvyfXsJwmtYXucfEj+PVyI9tfKZWvlJoNPQYK0IOd7eu9K6HPrAS6gWxK7AnfmkvwicLOCfK+Pbajn4icECRNY2VvlxOdFlo/jFUmP7TY2+Uy04UyzRpgap98hbWNU0qVKqU+RsUMmiehol3ZgopxEZea+LxqZFh/sxvgswDUP8CYDz1QLgHAPZUXWo3VfUHWtc/K2opIletPomdTvCbEZ9vXi0N1Y9uf0d0h/2To+5Ibu2Zw3vYJ0HNjAMCH1mjkmrAnmwGct1t7BHlgThgErT/LH6HPCoKyBjG+Zf33WQC9oG8hfDPEasusv46zqIaZ/Z1j4HDnkNXzV90guioCAgcn9sONYq2XfYfOJ9b7j4tI0IFhIhJnBXuNxXZUtB9VZmy0xsAEa3s+hv5RiAXwXKi7s0SkwXvA6mmj9fcc6ziv7FoEH2g4y/p7tohcHyQNgMhvF6sX1O6ldGrjWgB4sLb51vAYA6wTOGs8zBvWe/dY884Ey1usctWJ6IeYnWn9N6uu+dRWvQIMa4Dc09Z/HxORe627DyAiGdAj94PtkD9A34IpAN6zN67VWF0KPVFUqIE131t/Lw2x4e1pnp8TkYF2YyAi5wD4EgZG00rF1Lk5dVluQB6AJ0XknoBt3wm6IewGPbDnKYdy2VN6Lwl837pMtcL677/syZxETwF8AfSYhoYar2LX33ARedjuqRGR1iLyDICHULPria9af+3bOj9zuFwWyL5lONhZbNgo/WA1+6zq31agbW//odCDP+tyLf1HEXlSRPpYo+ftRisTFbc5Z1Ua9DoZev/qAGC5iFxsN6LWul1E5D7oM7GjGmoR+Z1UTN9fkzE7DcYKtu2xO38TkSGip8cXERkE3TZ4g6ybj4qTpisA/FcCJjwT/fiD/iIyFQ5nx6Knfw85TXkELYMesB8P4B0RORkARKSZiIyHPo4c76xSSv0PFbcs/0v0dNnlQYqItBKRESLyMYDnKq8vFY8OmGX0GwVnty0viMi5Ab8NmQAWQ9/yWltfiZ7a+1zrBx1Wnt2h53QCdHC7JWCdP0NPzJYKIEtErgsM1kWko4jcBv3E8GF1KJOtN3RQnIuK387wU/Wf5KQ+U4WPwtHTqLqh59RQ0BVxHYJMYgXgtIC0HujryDkAvg5I0wkV01Ar6CjSnoinCHoej2BlWwIDE22FWo4Q0+5WVw4cPVX4R6iY3Mre9gq6kQw2dayd7xKHZf2s7WPnUxDw/0PQZ30KVltdx+2Wg2omqrLS/SegHH7oQZj2FM2v1WQbWvl8G5BPyEmhoEeN2z05jtNg16T8qPtU4edBB4aB29++s2o/Ko6pEod1g020FZifx6rHsoD39gLo5pDfb6xlgeserJSfAtCv0nq/C1jWv67ti5VXXSbaCjrJm5XuBOgZZO0yFgXs45sBjIfDRFsB698LfXwFrn+o0nsHHNabjmom+arFdqn1VOE1yLNym5xn1Xm1x5t13MyptF8cwdHThSs4T9BnH0+z6rAd7HzH1mKdrji6rSwK2HcKKu2/7SqtG2yireyAdXzW/hB4nOQDON+hLKfh6CnGvdYxFtgGK4R47AOqnyr8z9Zyx0djBKSLqom2oJTyQl93uxt6ilivtXE/h57p7qMQ684BMAQ6msyHvhVzO/Qo996omGTKad1s6IlH/ge9A7eDnmL8xIA026AHkr4F3TC7oHf42dBzuy+oy3euJTuKDzXXRX0o6AFL90L3CsVDHzifAfiNUqrWTwNVevBjJnTgmAtdL/uhBwH2QvjupXdyJXR35Q/QDZ1An2ndoJS6uRb52PvhHuipeYNSel6R96z/XlWr0hqglMqC7m35FHp/jYUu9wzo7b+5DtkOh+5tXA4dMKRABxjroGcGPUMp9YNDWZajYprjFdCNb0vogOdb6BlRz1JVB8za+30+jj5jiwpKj/vqD91FvQ+6bdgDvY36oZqeMaXUc9BdzjOgv5+C3qb7oWdMvAtAD4dVw90e1IvVJl8EfRafD71d1gEYV93xppQqVEqNgp7Y7iPok74k6DbpJ+iJti4HcEfgeqLnKrJ7kxtkuyiltkD3UL4DfRJqn92/AX1pdEkdsr0eenr4JQB+hQ64fNBt1zToY+wrh7JkQ+8rd0H3EB+BHkzrgd7206Dv/nq/8rq1cKX197WQqUyrb4TSVF8wMxV5LPRB6gfQw3D5HkcdI/5j8YWKhzA9VcP09nTSm4Isz0EteyaOpRcCHuQX6bJEyws6OLantq/yAMNj9QUd6CnogCQh0uVpjC+E6MGADqQUgPU1yCe6ejAopD7QDxOao5TaEOnCHKus8T0XQB80/6wmOQBAKfUddC/QGSISbXM8NAYDoXs7HKdAPkadDj3h3QKlVLhmGm2MBlp/n1L6NnEya7L197GG/mAGGNV7PWCw2qBarnu+9fdJw2WiGrLuFnoR+uzxM6XUT7VY/SHo3qdQdxstDtg/Mupc0CZERE6EHn8yXelBq6TZ7cETES1F9Dkf+vLUq9UlpAoi8g+77YG+rOeUpiv0ZakVSqn/hsgr28qnOFiauqjvVOFN2WFUTIRiq9XU0UqpZxC+hwtRCCIyEfqxy+2gbwsrQS1vPVNKbRKRcQA6ikhLpdSRgMUHUHVConDOlNhoKKXsu8MogFLqZejH3lMApdTwSJehkcpD1d+oygFCe+gT3I+ryesAqk75UO/2TKzrLtTIiMjj0F1e/1ZKjY1saaJPwPYpgh4o9aDSgyeJiKgBMMAgIiIi4zgGg4iIiIxjgEFERETGMcAgIiIi4xhgEBERkXEMMIiIiMg4BhhERERkHAMMIiIiMo4BBhERERnHAIOIiIiMY4BBRERExjHAICIiIuMYYBAREZFxDDCIiIjIOAYYREREZBwDDCIiIjKOAQYREREZxwCDiIiIjGOAQURERMYxwCAiIiLjGGAQERGRcQwwiIiIyDgGGERERGQcAwwiIiIyjgEGERERGccAg4iIiIxjgEFERETGMcAgIiIi4xhgEBERkXEMMIiIiMg4BhhERERkHAMMIiIiMo4BBhERERkXG+kCmCIivwBIBZAT4aIQERHVRQYAt1Lq5EgXxIQmE2BABxdp1ouIiIgiqCldIsmJdAGIiIjqKSfSBTClKQUYREREFCUYYBAREZFxDDCIiIjIOAYYREREZBwDDCIiIjKOAQYREREZxwCDiIiIjGOAQURERMYxwCAiIiLjGGAQERGRcQwwiIiIyDgGGERERGQcAwwiIiIyjgEGERERGccAg4iIiIxjgEFERETGMcAgIiIi42IjXYBodPjw4UgXgSxpaWloNVNFuhhkyR0vrI8okTte2FZFkbS0tEgXIeqwB4OIiIiMY4BBRERExjHAICIiIuMYYBAREZFxDDCIiIjIOAYYREREZBwDDCIiIjKOAQYREREZxwCDiIiIjGOAQURERMYxwCAiIiLjGGAQERGRcQwwiIiIyDgGGERERGQcAwwiIiIyjgEGERERGccAg4iIiIxjgEFERETGMcAgIiIi4xhgEBERkXEMMIiIiMg4BhhERERkHAMMIiIiMo4BBhERERnHAIOIiIiMY4BBRERExjHAICIiIuMYYBAREZFxDDCIiIjIOAYYREREZBwDDCIiIjKOAQYREREZxwCDiIiIjGOAQURERMYxwCAiIiLjGGAQERGRcQwwiIiIyDgGGERERGQcA4wGNGzYMLRu3Rrbtm2LdFGMuOeee5CWloYFCxZEuih14n56AHJvj4Vv/0+RLooRhW/egtzxAs/GzyNdlDppavWRP/VC5N7mgm/XxkgXpdaaWls1atQopKenY/PmzZEuyjGFAUYDmTdvHlauXIlLL70UnTp1ckxTVlaGF154Aeeffz46dOiAjIwMXHTRRZg1axaUUmEt388//4y77roL3bt3R7t27XD66afj5ptvxrp164KuM2nSJLhcLjz55JPw+/1hLZ9pZes/ge/nZYg/+yq42nR2TKO8ZSiZ/zTcT/ZC7t3JODKxJdxPZaL0q1fCVh/+goMoW/0Biv7zAPKfG4Lce1ogd7wgd7xAeUpCrpv4u4eAGBeK//swFOvDCN/ebBTP/Qvyp16EI//veOTeEY/ce1rA/de+KJ77f/AXHQm6buLvpwDKj+I5D4WlbOESrW1VVlYWHn/8cYwYMQK9e/dGhw4d0L59e/Ts2RPjxo3D119/HXTdyZMnw+/344knnghL2ciZhPuHq6GIyGoAZ5nI6/DhwyayKef3+zFgwABs2bIFy5cvR9euXaukcbvdGDlyZPkPerNmzeD1elFWVgYAGDp0KN58803ExsYaLRsALF68GGPGjEFRUREAIDU1Ffn5+VBKITY2FtOnT8cVV1zhuO5tt92G999/HzNnzsTo0aONly0tLQ2tZprdR5XfD/eTPeDfsxmpj30PV/tuVdMUu5H/3BD4dqzWb8Q3A/xewKvrI677H9D89jkQl9n6KFk4FcUfTHJc1nJ6MSQuMeT6hf8ag7KVb6HZTW8hod+1RssGALnj5ZipD+9Py5D/zICKN0QgSS2git2A0gGctDoRKXfNg+uEMx3zyH/mfHh/ykLK/VmI7TzAMU1d5Y6XY6qtuvzyy7Fo0aLy/6ekpKC0tLT8cwHg1ltvxVNPPeW4/vDhw/HNN99g7ty56N+/v9GyAbqtMmSNUqqPqcwiiT0YDeDLL79EdnY2+vfv73jAAsDEiROxbt06tGrVCu+88w5+/fVX7Nq1Cy+99BISExMxf/78oAdOfezbtw9jx45FUVERBg0ahPXr1yMnJwfZ2dkYPXo0vF4v7r77bvzwww+O648ZMwYAMGPGDONlCxfv5vnw7/4esacMcPwxA/TlBt+O1ZDmaWg+4VO0fKEALV8sQrOxs4C4RHg2foaSTx8zXzgRSKsTEddrFBJH/B8SR/6lVqvHDxgHAChd+Jz5soVJtNaH8nkAVxzizrkKyXd+jpZT3Wj5fC5avlCA5jfPhqS0hsrdiYKX/gBVVuyYR/yAmwEAJQufN1q2cInmtmrIkCF49tlnsWzZMuzatQvbt2/Hnj17sGrVKlx99dUAgFdeeQXvvfee4/rXXXcdgMbVVjV2DDAawJtvvgkAuPTSSx2Xb9iwAf/9738BANOnT8fQoUMhInC5XLj66qvx6KOPAgBefvllHDhwwGjZpk6divz8fJxwwgl444030KFDBwBA69atMWPGDPTq1QtlZWX461//6rh+ZmYm2rdvj/Xr12PjxsZxrbn0638CAOLOucpxuXfHWnhWvw8AaHbD64jv8QeICCTGhYTMG5A0SjeeJQufh9+932jZEgbfiZZP/Yrk2z9C0u8fRmynzFqtH9v5PEjLE+DbsQbeX4Nf3oom0VofrjadkfqnbCSPewdx3X8PSUwGAEh8EuL7XoPmt+gy+Q9tR5lVvsrie43SAdCGT43vK+EQzW3VHXfcgRtvvBHdunVDUlISAEBE0LlzZ7z00kvIzNTHyjvvvOO4/vDhw8sDINNlI2cMMMLs8OHDmD9/PkQEI0aMcEzz4YcfAgBOPfVUDBs2rMryG264AampqSguLsZnn31mrGx+vx9z5swBANx0001ITk4+arnL5cIdd9wBAFiwYAHcbneVPGJiYnDJJZcAAGbPnm2sbOHiLzgEz4ZPARHE93G+pFO26m0AQEzbrojveUmV5Qnn3QpJagF4iuFZ+5HR8kmMq57rxyD+rMsBAGXLXzdRpLCK5vqIaXUiXK2dxyAAQFzXQYg5LgMA4Nu+2jGNJKUi7vShgM+DslXRfXxEc1tVE7169QIA7Nmzx3F5amoqhgwZAo/Hgw8++KAhi3bMYoARZllZWfB4PDjllFOQnp7umMaxgyFPAAAgAElEQVQenDR48GDH5UlJSeXR+VdffWWsbNnZ2di/X59VDRkyxDGNXaaysjKsXLnSMU2/fv0A6LEc0c67ZTHg8yCmzamISWkdPA2AuNMvclwu8UmI7XweAMCzZZFjmkiK7XwuAMCzOfrv7mns9SHNj9P/8PuCpok9pXHURzS3VdVRSmH1ah3kdezYMWi6vn37AmgcbVVTwAAjzOwf5Z49ezouV0ph69atAIDTTjstaD729dAtW7YYK1tgXsGutx533HFo3Vo3/NnZ2Y5pevfuDQDYunUrDh48aKx84eD9eRkAwHWS8xgqpRR8+/T3dB1/RtB8YtqfDgDw7Ym+295cHc8GAPj3ZsOfH91dwY25PvyFh+HbvQkAgg7yBABXhq4P78/Lo/runmhuq4Jxu91YvXo1brrpJqxatQoAcMsttwRNb7dVq1atanR3vjVGDDDCbM2aNQCAM85wbhzz8/NRWFgIAGjXrl3QfOxl+/btM1Y2O69WrVohMTH43QnVfXbHjh2RkpICoOL7Ritvjm6EYk/s4ZygxA2U6vqQFscHzSempV6m8py7YyPJlX4ykJgKAPBZ3zdaNeb6KPn8ScBbCiQkI866LOXEdaL1g13ihn+v82DpaBDNbVWgFStWIC0tDWlpacjIyMCFF16Ijz/+GCkpKZg2bRouvPDCoOueeaYOBPPz8xskADrWMcAIM/sgC3YLk33AAgj5I28PagpMX1/2bamhPremn21/v7179xoqXXjYP0CS7NwFrEorvqPEJwXNR+KbWekLDJbOnJhk3XXvj8IAKFBjrQ/P5gUoXfQCACDpkieCXt4BAGnWCrDG1kRzfURzWxUoLi4Obdq0QZs2beBy6e3arFkzTJkyBZdddlnIdVu2bFm+TrgCIKrAACPMDh06BEDv2E4C5yERkQYpU+XPNvG59vczfV++af4CfQlHmrVyTnDUvDANWx8m2d9PFUT3JavGWB++3ZtR+M+rAeVHXPc/IOGCiSHTizV/BhDd9RHNbVWgPn36IDs7G9nZ2dizZw+WLl2KgQMH4oEHHsDQoUOxe/fuoOuKCFJTde+e/X0pfBhghJk9CUx8fLzj8sA7N4qLne+lD1zWvHlzY2Wz8wr1uTX97ISEhBrlFXHeUv3X5Vwf9q2IAKDKioJmYy+ThOSgaSLKmpAr2PwMUaOR1Yfv4C/In3YRVOFhuDplovkt79bsx7YR1Ec0t1XBxMbGonv37pg9ezYuvvhifP/997j//vtDrmP3vpSUhJ4Zl+qPAUaYtWqlz8zy8vIcl6ekpJQfiKEuL9jL2rZta6xs9rXS3NzckAdbTT77yBE9ZbLB2ezCQprp8qniIFM8J6YCCbo+VF7wMyH/Eb1MWrQ3W0BDVFEuAECsSyXRqjHVhz93JwqevwDqyC64OvRC8l1zIQk1+xFVhdFfH9HcVtWEPbhz3rx5IXtSG0tb1RQwwAgzeye2d+rKRARdunQBEPwuDaBiRHawuz3qIjCvYAOeDh06VD4pTaiR43ajdNxx0duAAhXX+u0f4CrLReBqp2eT9O3+Pmg+futuBZd190K0sX/QYoKMbYgWjaU+/Hl7kf/8BfAf/AUx7U5D8j0LENPM+VJCZcpTCnj0WX0010c0t1U10b59RXD5yy+/OKYpLS0t72FhgBF+DDDCrHNn/eCm7du3B00zYIB+RkGwe7NLSkrwzTffAAAGDhxorGxdu3ZFmzZtAABLlixxTGO/Hx8fXz7fRWVFRUXlt6eeeuqpxsoXDq52utHzH3RugAAgtqu+x9/zwxeOy5WnBN6fsgAAcaddYLiE9afKiqAKdFAY0y54UBgNGkN9+AsOIX/qhfDv+xEx6Z2QMunLkIM6q6x/KEf/QwQxbRv2R7c2ormtqonAcge7PLNjxw4AOliK9raqKWCAEWb2j3Kop5LaI5+3bt2K+fPnV1n+xhtvwO12IykpCcOHDzdWtpiYGIwaNQoA8Nprr1UZ9e33+/Hyyy8D0A8wsgdHVbZhwwb4fD4kJyeX3wYWrexJj3zbvwuaJv4c/VwD/95slG2oOhthadarUMV5QFwS4nqNCk9B68G3Y42e+CkxpeIWySgV7fWhivNQMO0i+HdvgrTqgOR7F5XfEltT3pxvAQAx7bqV390TjaK5rfJ6vSGX+/3+8meMpKenl/e0VLZ27VoAQJcuXdiD0QAYYISZ/dS+jRs3wudznu2vR48eGDlyJABgwoQJ+OILfabm8/nw7rvv4k9/+hMA4Pbbby+f9CrQhAkTkJaWFnSCnFAmTpyIlJQU7Ny5E9dffz127twJADh48CAmTJiANWvWID4+Hg8++GDQPOz75/v27Vt+C1i0sp9o6f11LVSQ2RdjT+qNuD766bFFs8bCs3EuAED5fSj95g0Uf/QAACDxt5MQk9qmyvqFs8Yid7wg7+GMWpdP+f3wFxwsf6niiuvhquDQUcuCsX/QYjv9pt5Tj4dbNNeHKi1E/ovD4duxBtKiPVLuXQTXccFniQzGt92qj1PPq/W6DSma26oVK1ZgxIgRmDNnzlHPEfF6vVi5ciWuuOKK8iet3nfffYiJcf5ps9sqe7ZRCi/zz/6mo/Tu3RsZGRnIycnB119/HbTbcOrUqcjJycG6detw5ZVXolmzZvD5fCgt1aPshw4dGvJHvq7atm2LWbNmYcyYMVi8eDF69OhR5XHtL7zwArp1c37KJYDyRsbuDYlmro5nIya9E/wHt8G7ZQniujl3qTcf8yryD/wM347VKJg+3Ho8uK/8roe47n9A4sV/Ml4+/+EdcP/xZMdleQ+eeNT/gz023bPxcwBA/NlXmi1cGERzfZSt+Q981kyjqsR99KPbK4nt9Bsk3+78HBTPJh0QRXt9RHtblZWVhawsfSmsefPmSExMhNvthsfjAaB7ZCdOnIjx48cHzWPhwoUAGkdb1RSwByPMRATXXnstAOCjj4I/iCk1NRX/+9//8Nhjj+HMM8+EiCA+Ph5nn302nnvuObz99tuIjXWOB+1R2/Y0uLU1ePBgLF26FNdccw2OP/54lJSUoE2bNhg5ciQWLFiAK664Iui6Bw4cwNdff43k5OTyM5toJiKIP/cmAEDZd+8GT5eUipQHliNp1FP6MoMIEJsA18n90ezamWg+4ROIy7k+7MmUXB3PMf8FquF374f3xyVAQjLizw5eb9EiqutDBUwlXVoI5d4X/FXkfNeCN+c7+Pf/hJj0TojtMqh2n9/Aormt6tmzJ2bMmIGrrroK3bp1Q2JiIvLy8pCUlITu3bvj1ltvxdKlSzFlypSgeaxduxbbtm1DRkZG+VgSCi9RyvksqLERkdUAzjKRl+nJovbs2YNevXohOTkZmzdvLp8zwgSv14tOnTqhsLAQX331VdBpfsPllVdewYMPPogbbrgBzz//vPH809LSgp6p15X/yG7kPZwBSUxBi7/thsSZqw/l8+LIpFZAWSFSpqwLPgV2mJQsehHF792N+PNuRfPrZhrPP3e8sD5qoeiD+1C68DkkjvwLkoY9ZDTv3PHCtqoWpkyZghkzZuCRRx7BpEmTjOdvcEzHGqWU88N5Ghn2YDSA9u3bY+zYscjNzcXbb79tNO9169ahoKAAw4cPb/AD1ufzYebMmUhISMC9997boJ9dHzEtj0fCeeOhCg8bf6S5b8dqoLQAcb1GNfiPmfL7ULpoGhCbgMRhDzfoZ9dHk62P4jyULXsNktIaiYPvbNDPrqum2la53W689dZbSE9Px7hx4xr0s49lDDAayOTJk5GcnIxp06ZVOyK6NpYvXw4A1c5eFw4ffvghfvnlF4wdOxYdOnRo8M+vj8ThjwAJySiZ/zcon7n68P74VUX+Daxs1dvwH/gZCeffVqfBiJHUFOujZNELUMV5SPzdw5DElAb//Lpqim3VzJkz4Xa7MWnSpPIHM1L48RKJg3A9T+Ozzz7Dpk2bcM011+Ckk04Ky2c0pPfffx/btm3DuHHjkJ4engmEwnGJxFa2dg58O9cjPnMsXOkZYfmMhlS64i34D/yEhEETajVPQ22E4xKJranVR8ni6VBFuUi86P8ZvexjC8clEltTa6teffVVHDlyBHfffbfRyz6BeImkKgYYDqL9gV3HknAGGFR74QwwqHbCGWBQ7THAqIqXSIiIiMg4BhhERERkHAMMIiIiMo4BBhERERnHAIOIiIiMY4BBRERExjHAICIiIuMYYBAREZFxDDCIiIjIOAYYREREZBwDDCIiIjKOAQYREREZxwCDiIiIjGOAQURERMYxwCAiIiLjGGAQERGRcQwwiIiIyDgGGERERGQcAwwiIiIyjgEGERERGccAg4iIiIxjgEFERETGMcAgIiIi4xhgEBERkXEMMIiIiMg4BhhERERkHAMMIiIiMo4BBhERERnHAIOIiIiMY4BBRERExjHAICIiIuMYYBAREZFxDDCIiIjIOAYYREREZBwDDCIiIjKOAQYREREZJ0qpSJfBCBFZDeCsSJeDiIioHtYopfpEuhAmxEa6ANHo8OHDkS4CWdLS0tBqZtMIgpuC3PHC+ogSueOFbVUUSUtLi3QRog4vkRAREZFxDDCIiIjIOAYYREREZBwDDCIiIjKOAQYREREZxwCDiIiIjGOAQURERMYxwCAiIiLjGGAQERGRcQwwiIiIyDgGGERERGQcAwwiIiIyjgEGERERGccAg4iIiIxjgEFERETGMcAgIiIi4xhgEBERkXEMMIiIiMg4BhhERERkHAMMIiIiMo4BBhERERnHAIOIiIiMY4BBRERExjHAICIiIuMYYBAREZFxDDCIiIjIOAYYREREZBwDDCIiIjKOAQYREREZxwCDiIiIjGOAQURERMYxwCAiIiLjGGAQERGRcQwwiIiIyDgGGERERGQcAwwiIiIyjgEGERERGccAowENGzYMrVu3xrZt2yJdFCPuuecepKWlYcGCBZEuSp24nx6A3Ntj4dv/U6SLYkThm7cgd7zAs/HzSBelTppafeRPvRC5t7ng27Ux0kWptabWVo0aNQrp6enYvHlzpItyTImNdAGOFfPmzcPKlSsxevRodOrU6ahlfr8fy5Ytw9q1a8tfO3bsAAA8++yzuPHGG8Nevp9//hlTp07FkiVLcODAAaSlpSEzMxN33XUXevXq5bjOpEmT8Pbbb+PJJ5/Eb3/7W8TENJ54tWz9J/D9vAzxfa+Fq03no5Ypvx/erUvhy/kW3u3fwZfzLfyHcgAAza55GQkDbwtbufwFB+HdshjenO/g2/4tvNtXAyVuAEDL6cWQuMSg6yb+7iGULX8dxf99GLFnDIOwPurNtzcbZWs+gvfHJfDt3gRVcBCIS4KrXVfE9RyBhEETENOspeO6ib+fgoIfFqJ4zkNIvvOzsJXRtGhtq7KysvDll1+Wf+bBgwfh9XrRpk0bnHPOORg7diwGDBjguO7kyZOxdOlSPPHEE3j33XfDVkY6GgOMBuD3+/Hkk09CRHDvvfdWWZ6fn48RI0ZEoGTa4sWLMWbMGBQVFQEAUlNTsW/fPsyZMweffvoppk+fjiuuuKLKehkZGbjsssvw/vvv4z//+Q9Gjx7d0EWvE+X3o/i/DwMiSPz9H6suL3Gj4LkhESgZULbiLRR/MKlO67pad0L8OVejbOVbKPv2HST0u9Zw6cIjWuvD+9My5D8T8IMlAklqAVXshi/nW/hyvkXpV/9Ayl3z4DrhzCrrx3UZiNjO58Gz8XN4f/oasZ2df/yiSTS3VdOmTcOiRYvK/5+SkgKlFH799Vf8+uuv+Oijj3DrrbfiqaeeqrLuueeei8zMTCxYsAArVqxA//79G7Lox6zGc4rTiH355ZfIzs5G//790bVrV8c0zZs3R2ZmJm6//Xa8+uqraNu2bYOUbd++fRg7diyKioowaNAgrF+/Hjk5OcjOzsbo0aPh9Xpx991344cffnBcf8yYMQCAGTNmNEh5TfBung//7u8Re8oAuNp3c06U0Byxnc9DwgWT0PzmtyGp7RqmcCKQVicirtcoJI74PySO/EutVo8fMA4AULrwuXCULiyitT6UzwO44hB3zlVIvvNztJzqRsvnc9HyhQI0v3k2JKU1VO5OFLz0B6iyYsc84gfcDAAoWfh82MtrQjS3VUOGDMGzzz6LZcuWYdeuXdi+fTv27NmDVatW4eqrrwYAvPLKK3jvvfcc17/uuusANK62qrFjD0YDePPNNwEAl156qePy1NRUbN++/ahLDE888USDlG3q1KnIz8/HCSecgDfeeAPJyckAgNatW2PGjBnYunUr1q1bh7/+9a944403qqyfmZmJ9u3bY/369di4cSO6d+/eIOWuj9Kv/wkAiDvnKsflktQCLae6j7rEUPzfh6AaoGwJg+9E4gX3lP/fs2VJrdaP7XwepOUJ8O1YA++v6xDbwfnyVjSJ1vpwtemM1D9lw9X66MsEEp+E+L7XQFocj4LnBsN/aDvKVr+PhMwbquQR32sUiuJug2fDp/C79yMmtU2YS10/0dxW3XHHHVXeExF07twZL730EnJycvDNN9/gnXfewZVXXlkl7fDhw3Hfffdh/vz5OHDgAFq3bt0QxT6msQcjzA4fPoz58+dDRIJ2LYpIRMYv+P1+zJkzBwBw0003lQcXNpfLVX5QL1iwAG63u0oeMTExuOSSSwAAs2fPDnOJ689fcAieDZ8CIojv43xJR0QiNn5BYlz1XD8G8WddDgAoW/66iSKFVTTXR0yrE6sEF4Hiug5CzHEZAADf9tWOaSQpFXGnDwV8HpStiu7jI5rbqpqwx4rt2bPHcXlqaiqGDBkCj8eDDz74oCGLdsyKzj2lCcnKyoLH48Epp5yC9PT0SBfnKNnZ2di/fz8A3f3oZPDgwQCAsrIyrFy50jFNv379AOixHNHOu2Ux4PMgps2piElpmmcwsZ3PBQB4Nkf/3T2NvT6k+XH6H35f0DSxpzSO+ojmtqo6SimsXq2DvI4dOwZN17dvXwCNo61qChhghJn9o9yzZ88Il6SqLVu2lP872PXW4447rrwrMTs72zFN7969AQBbt27FwYMHDZfSLO/PywAArpP6RLgk4ePqeDYAwL83G/78AxEuTWiNuT78hYfh270JABwHedpcGbo+vD8vh/L7G6RsdRHNbVUwbrcbq1evxk033YRVq1YBAG655Zag6e22atWqVfBHcV00FQwwwmzNmjUAgDPOOCPCJalq3759AIBWrVohMTH47Y/t2rU7Kn1lHTt2REpKCoCK7xutvDm6EYo9sUeESxI+rvSTgcRUAIDP+r7RqjHXR8nnTwLeUiAhGXHWZSknrhOtH+wSN/x7nQdLR4NobqsCrVixAmlpaUhLS0NGRgYuvPBCfPzxx0hJScG0adNw4YUXBl33zDN1IJifn3/UCRaFBwOMMLN/lNPS0iJckqrs21JDBRcAkJSUBAAoLCwMmsb+fnv37jVUuvBQefr6rCQ3ri7g2opJ1l33/jzn69HRorHWh2fzApQuegEAkHTJEyEv70izVoA1tiaa6yOa26pAcXFxaNOmDdq0aQOXS2/XZs2aYcqUKbjssstCrtuyZcvydYKdMJE5DDDC7NChQwD0jh1tlNLj8EWk3nnZ3+/w4cP1ziuc/AX6Eo40axXhkoSX/f1UQXRfsmqM9eHbvRmF/7waUH7Edf8DEi6YGDK9WPNnANFdH9HcVgXq06cPsrOzkZ2djT179mDp0qUYOHAgHnjgAQwdOhS7d+8Ouq6IIDVV9+7Z35fChwFGmJWVlQEA4uPjI1ySqpo3bw4AKC52voffZi+30ztJSEioUV4R5y3Vf13RVx9GWTN+BpufIWo0svrwHfwF+dMugio8DFenTDS/5d2aBeiNoD6iua0KJjY2Ft27d8fs2bNx8cUX4/vvv8f9998fch27x7akpKQhinhMY4ARZq1a6TOzvLy8CJekKntsRW5ubsiDzb7sEWpCnSNHjgCI/u5VaabLp4qPRLgk4aWKcgEAYl0qiVaNqT78uTtR8PwFUEd2wdWhF5LvmgtJCB50B1KF0V8f0dxW1YQ9uHPevHkhe1IbS1vVFDDACDN7J7Z36mgSeOdIsAFPhw4dwoED+k6E0047LWhedqN03HHR24ACFdf67R/gpsr+QYuJ8rENjaU+/Hl7kf/8BfAf/AUx7U5D8j0Lgj6DpDLlKQU8uucimusjmtuqmmjfvn35v3/55RfHNKWlpeW9rAwwwo8BRph17qwf3LR9+/YIl6Sqrl27ok0bPbPgkiVLHNPY78fHx5fPd1FZUVFR+e2pp556qvFymuRqp4Mq/0HnBqgpUGVFUAU6KIxpFzwojAaNoT78BYeQP/VC+Pf9iJj0TkiZ9GWt5uywH8wGEcS0db4dPBpEc1tVE4HlDnY5134wm4hEfVvVFDDACDP7R3ndunURLklVMTExGDVqFADgtddeq3KXiN/vx8svvwwAGDp0aPngqMo2bNgAn8+H5OTk8tvAopU96ZFv+3cRLkn4+Has0RM/JaZU3CIZpaK9PlRxHgqmXQT/7k2QVh2QfO8ixLQ8vlZ5eHO+BQDEtOtWfndPNIrmtsrr9YZc7vf7y58xkp6eji5dujimW7t2LQCgS5cu7MFoAAwwwsx+at/GjRvh8wWf7c/tduPQoUPlL3sSmMLCwqPeLy0trbLuhAkTkJaWVqcJciZOnIiUlBTs3LkT119/PXbu3AkAOHjwICZMmIA1a9YgPj4eDz74YNA87Pvn+/btW34LWLSyn2jp/XUtVIjZF1VxHvwFB8tf9gRJqqzw6Pc9VeujcNZY5I4X5D2cUevyKb//6PyLK66Hq4JDRy0Lxv5Bi+30m3pPPR5u0VwfqrQQ+S8Oh2/HGkiL9ki5dxFcxwWfJTIY33arPk49r9brNqRobqtWrFiBESNGYM6cOeWXbAEdeKxcuRJXXHFF+ZNW77vvvqDTmdttVWZmZq0+n+qGDzsLs969eyMjIwM5OTn4+uuvMXDgQMd01157LZYtW1bl/UcffRSPPvpo+f+nT5+Oa665xlj52rZti1mzZmHMmDFYvHgxevTogdTUVOTn50MphdjYWLzwwgvo1i3IUy4BfPHFFwBQ3hsSzVwdz0ZMeif4D26Dd8sSxHW7wDFdwYwR8P64tMr7xR9ORvGHk8v/3+yG15Hwm7HGyuc/vAPuP57suCzvwROP+n+rmc6P+/Js/BwAEH921Qc+RZtoro+yNf+Bz5ppVJW4j350eyWxnX6D5Ns/clzm2TQXQPTXR7S3VVlZWcjKygKgL4EkJibC7XbD4/EA0D2yEydOxPjx44PmsXDhQgCNo61qCtiDEWYigmuvvRYA8NFHzg1Qfdl3edjT4NbW4MGDsXTpUlxzzTU4/vjjUVJSgjZt2mDkyJFYsGABrrjiiqDrHjhwAF9//TWSk5MxcuTIOn1+QxIRxJ97EwCg7Lt3w/IZ9mRKro7nhCX/kJ/t3g/vj0uAhGTEnx283qJFVNeHCphKurQQyr0v+KvI+a4Fb8538O//CTHpnRDbZVAdv0HDiOa2qmfPnpgxYwauuuoqdOvWDYmJicjLy0NSUhK6d++OW2+9FUuXLsWUKVOC5rF27Vps27YNGRkZGDAgeLBI5og92VJjJyKrAZxlIi/Tk0Xt2bMHvXr1QnJyMjZv3lw+Z4QJXq8XnTp1QmFhIb766qsGn+b3lVdewYMPPogbbrgBzz//vPH809LSgp6p15X/yG7kPZwBSUxBi7/thsSZqw/l8+LIpFZAWSFSpqxr8CmwSxa9iOL37kb8ebei+XUzjeefO15YH7VQ9MF9KF34HBJH/gVJwx4ymnfueGFbVQtTpkzBjBkz8Mgjj2DSpEnG8zc4pmONUqrxPZzHAXswGkD79u0xduxY5Obm4u233zaa97p161BQUIDhw4c3+AHr8/kwc+ZMJCQk4N57723Qz66PmJbHI+G88VCFh40/0ty3YzVQWoC4XqMa/MdM+X0oXTQNiE1A4rCHG/Sz66PJ1kdxHsqWvQZJaY3EwXc26GfXVVNtq9xuN9566y2kp6dj3LhxDfrZxzIGGA1k8uTJSE5OxrRp06odEV0by5cvB4BqZ68Lhw8//BC//PILxo4diw4dOjT459dH4vBHgIRklMz/G5TPXH14f/yqIv8GVrbqbfgP/IyE82+r02DESGqK9VGy6AWo4jwk/u5hSGJKg39+XTXFtmrmzJlwu92YNGlS+YMZKfx4icRBuJ6n8dlnn2HTpk245pprcNJJJ4XlMxrS+++/j23btmHcuHFITw/PBELhuERiK1s7B76d6xGfORau9IywfEZDKl3xFvwHfkLCoAm1mqehNsJxicTW1OqjZPF0qKJcJF70/4xe9rGF4xKJram1Va+++iqOHDmCu+++2+hln0C8RFIVAwwH0f7ArmNJOAMMqr1wBhhUO+EMMKj2GGBUxUskREREZBwDDCIiIjKOAQYREREZxwCDiIiIjGOAQURERMYxwCAiIiLjGGAQERGRcQwwiIiIyDgGGERERGQcAwwiIiIyjgEGERERGccAg4iIiIxjgEFERETGMcAgIiIi4xhgEBERkXEMMIiIiMg4BhhERERkHAMMIiIiMo4BBhERERnHAIOIiIiMY4BBRERExjHAICIiIuMYYBAREZFxDDCIiIjIOAYYREREZBwDDCIiIjKOAQYREREZxwCDiIiIjGOAQURERMYxwCAiIiLjGGAQERGRcQwwiIiIyDgGGERERGQcAwwiIiIyjgEGERERGccAg4iIiIwTpVSky2CEiKwGcFaky0FERFQPa5RSfSJdCBNiI12AaHT48OFIF4EsaWlpaDWzaQTBTUHueGF9RInc8cK2KoqkpaVFughRh5dIiIiIyDgGGERERGQcAwwiIiIyjgEGERERGccAg4iIiIxjgEFERETGMcAgIiIi4xhgEBERkXEMMIiIiMg4BhhERERkHAMMIiIiMg6hZIwAACAASURBVI4BBhERERnHAIOIiIiMY4BBRERExjHAICIiIuMYYBAREZFxDDCIiIjIOAYYREREZBwDDCIiIjKOAQYREREZxwCDiIiIjGOAQURERMYxwCAiIiLjGGAQERGRcQwwiIiIyDgGGERERGQcAwwiIiIyjgEGERERGccAg4iIiIxjgEFERETGMcAgIiIi4xhgEBERkXEMMIiIiMg4BhhERERkHAMMIiIiMo4BBhERERnHAIOIiIiMY4BBRERExjHAaEDDhg1D69atsW3btkgXxYhRo0YhPT0dmzdvjnRR6sT99ADk3h4L3/6fIl0UI/KnXojc21zw7doY6aLUSVOqD+X3I+/R05B7dzL87n2RLk6tNaW2yu/3o1+/fujQoQP2798f6eIcU2IjXYBjxbx587By5UqMHj0anTp1OmqZ2+3GvHnzsHjxYqxduxY7d+6EUgrt2rVDZmYmxo8fjx49eoS1fGvXrsX06dPxzTffIDc3F+np6Rg8eDAmTpxYpby2yZMnY+nSpXjiiSfw7rvvhrV8ppWt/wS+n5chvu+1cLXpfNQyVexG2fqP4d28AN6cb+E/vAOAQkyL4xF76vlIGHI3Yk/qHZZy+XN3wvPjUvhyvoV3+7fw7VgLeIohqW3R8pm9IddN/P0UFPywEMVzHkLynZ+FpXzhEq314d2+Gp71H8O79Sv49myGKsyFJKbAdfwZiOszGgnn3QqJS6yynsTEIHHYQyiaNRYlnz+JZldPD0v5wiFa26q5c+ciKysL69atw65du3Do0CEAQPv27ZGZmYlx48ahZ8+eVdaLiYnBxIkTMWHCBPz973/H008/HZbyUVWilIp0GYwQkdUAzjKR1+HDh01kU87v92PAgAHYsmULli9fjq5dux61/Oyzzz7qTKFZs2ZQSqG4uBgA4HK58Nhjj+HOO+80Wi7bO++8g3vuuQderxcigpSUFLjdbgBA8+bNMXv2bJx//vmO6w4fPhzffPMN5s6di/79+xsvW1paGlrNNLuPKr8f7id7wL9nM1If+x6u9t2OWp73yKnwB55FxzcDlAI8uj4Q40LSpX9D4oX3GS0XABS9NxGli6ZVeb8mAQYA5D9zPrw/ZSHl/izEdh5gvHy54+WYqY/SlbNR9K/rKt6QGEhSKlTRkfK3YtqfjpR7FiCm1QlVv5fPC/ejXeDP3YnUJ7bAlX6y0fLljpdjqq3q168ftm7dWv7/Fi1aoLCwEF6vF4AOJB577DHcddddVdb1er0455xzsHv3bqxatQodO3Y0Xr60tDRTWa1RSvUxlVkk8RJJA/jyyy+RnZ2N/v37VzlgAcDj8aBHjx545plnsH79euzcuRO//vorsrKycN5558Hn8+HRRx/FF198Ybxs33//PSZOnAiv14vRo0djy5YtyMnJwfr16zFo0CAUFhbihhtuwMGDBx3Xv+463QDPmDHDeNnCxbt5Pvy7v0fsKQOq/JgBAHweuDr0RtLVLyH1Lzlo9WIhWr5QgJRH1iO262DA70Pxh5Ph2TjXfOFEENP6FMSdfSWSLv87En57b61Wjx9wMwCgZOHz5ssWJlFbHz4PEN8M8QNuQfK9i9DyxSK0fD4XLae5kXTVi0BCc/j3bEbBzMvgdKImrljE978B8HlQurhx9GBEc1s1cuRIvPjii/j222+xd+9e/PLLL9i7dy+WLl2Kiy66CH6/H4899hiWL19eZd3Y2FhcddVV8Hg8ePXVV42XjZyxB8OB6bOC66+/Hp999hmeeeYZ3HzzzVWWf/PNN8jMzHRct7i4GIMHD8aPP/6IAQMG4JNPPjFatuuuuw5z585F7969sWDBArhcrvJlBQUFyMzMxK5du3DHHXfgz3/+c5X13W43TjvtNPh8PmzatAmtW7c2Wr5w9GAU/OMyeNZ+hKSrX0LioDuqLPdszULcqec5rqvKiuH+Sx/49/yA2C6DkHLfYqNlU34fJKaiDkqXz0LRv2+scQ+GKnbjyP1tAb8PLZ7aiZjUNkbLF44ejGitD9++HyFJLRCT2tZxeek3/0bRrLEAgOT7liCuy0DHPNyPdoWktEaLv+2CuOKMlS8cPRjR3FaFUlZWhv79+yMnJwfXXnstXnzxxSppfvrpJ/Tt2xfp6en4/vvvERdnri4A9mA4YQ9GmB0+fBjz58+HiGDEiBGOaYIdsACQlJSEUaNGAQDWrVtntGx5eXnlZxp33HHHUcEFACQnJ+PGG28EAHz00UeOZ2mpqakYMmQIPB4PPvjgA6PlCwd/wSF4NnwKiCC+z2jHNMF+zABA4pMQ3+dKAIB3x2rj5QsMLuq0flIq4k4fCvg8KFs121Cpwiea68PVtkvQ4AIA4vteA8TGAwB8250/29W2C1wn9oTKPwDPhugeFxPNbVV14uPjceaZZwIA9u51DsQ7d+6MM888EwcPHsT8+fMbsnjHLAYYYZaVlQWPx4NTTjkF6enpdcrDjoz9fr/JomHFihXweDwAgMGDBzumGTJkCAB90G7ZssUxTd++fQEAixebPZsPB++WxYDPg5g2pyImpW69LZJ8nP6H32ewZObEnnIuAMCzeUGES1K9xlwf4oqDJKRU+9mNpT6iua2qTklJCTZs2AAAIcdX9OvXD0DjaKuaAgYYYbZy5UoAcBzdXFPLli0DAJx22mlGymSzA4a2bdsG7d4LvA4bLMDo3VuP4F+1alWDNyy15f1Zb0vXSXXvgfT+uFTncfyZRspkmivjbACA9+flUKyPsPHt/h6qUN/J4Doh+Ge7Olr18VNWg5SrrqK5rQom9/+3d+9xUdX5/8BfZ+7AcBEBpUzJu+V+vaXiLzK7sd28tOSvNcv0m+WmFbpa39zV7fFTs1xNKMvdwv2Wu2mmu1quWpibGSableSNBfOChgJqIsNtYGbO+f0xnhFjBhj8HDjQ6/l4+FDhzJn3+JHPvOacz6W0FLt378aECRNw6tQpGI1G31VXfwYOHAjAe6uHtMeAobF9+/YBAG688cZmPX7//v3YunUrAGDixInC6gIuX0rs3LlzwGNCQkIQGRkJACgp8T+fX700WV5eHjCE6IW7YC8AwNSleVPp3Kf2wfXdJgCA9f8E7shak7HLpTcIpwNy8X9at5hGtOX2qP5oHgDAEN0Vpr53BDzOeJ23PeSiXCjO8haprTn03FfVtX79ekRHRyM6Oho9evTAmDFjsGvXLsTGxmLNmjUN1q/2Vfn5+Sgv129btBcMGBpT35SbMwCovLwcTz75JDweDwYMGIBHH31UaG1VVVUAAJut/jz+ukJDQwEAlZWVfr8fFRXlG78RKITohVJWBACQ7MFfAlac5aj8y0RA9sDYdTAsSVNFlyeEFNoBuDSWQ770evWqrbZHTVYGXN99CAAIGZ8G6dJYDH8M6mtTFF0vuqXnvqoum82GuLg4xMbGwmDwvoVFR0dj0aJFvlu6gXTs6L2dpigKzp07p1mN5MWAoTF1MZioqKigHud2u/Hkk0/i+++/R2RkJFatWgWTSey6aOqgTUmSruo8kiQhIiICwOXXq1dyhXe6rRTaIajHKR43Klc9DLk4D1JoFMKmroNk1Oc6dZIkQQrxXnVSKvxPL9aLttgeriO7ULXOu9aCddQMWAb/qsHj6742PbeHnvuqusaMGYO8vDzk5+fj9OnT2LZtG3r37o1p06YhJSXFt4aPP+rVWED/fVV7wIChsdraWgDeUc5NJcsyZsyYgczMTISGhuL9999Hjx49hNcWFhYGAL5FcgJRr3Sox/ujXgVxOp2CqtOIu8b7u7Hp7aHIMqrenQzXwS2AJRT2Gf+EsVMvjQoU5NLqkkptw23b6tpYe7gLvkHFm2MAdw3MAx9AyEP1F0Wrp85Kn4pLv+2h574qEKvVisTERGzevBlDhgxBVlYWFi9eHPD4uldrdd9XtQMMGBrr0MH76aWsrKxJxyuKgtmzZ2PDhg2wWCz461//qskKmcDlsReBpnUB3vCh1t6pU+Apexcvelc3FDgXXBNSqLc+pfpiI0d6KYqCqrVPead8miywP7VJkxUyRVMqSwHUmWGhU22pPTynD6Li9V8CTgdMNyQj7Il1TZpWrLYFAEhh+m0PPfdVjTGZTL7BnWvXrg14nNpPAfrvq9oDBgyNqf+J6/7HbsjcuXOxevVqmEwmrFq1qtF7ildDHeldUlIScMGeuoM2/a3sBwA1NTW+qyB6/6FV7/UrVaWNHOlVvX4marPeBgwmhE1dB/MNyVqWJ4TiqvEto21oxtiGltRW2sNTnIfytDuhVF6AqectsD+1qcFxF3XVfW16bg8991VNER8fD8C7QGCg8RUMGC2LAUNjPXt6N246efJko8cuWLAAb7/9NgwGA1auXIn7779f09oSExN9q9l9/vnnfo9R54t37tw5YMA4deoUAO+9/1699H3rwNjZ+xrk8ycaPbZ601zUfPY6IBkQNmU1LIMe0Lo8IeQfC7x/kCQYOvlvM71oC+3hOXcM5Wl3QCk/C2PCUNif2QrJEtrkx6vtIYVEQooIPGOrtem5r2qKunUHup2r9lURERENXpElMRgwNKYu7NLYynZLly5Feno6JElCWloaHnzwQc1ri4iIwF133QXAu5fIT9ewqKysxDvvvAMASElJCTgYNCcnBwDQu3dv3X8qUBc98pz8psHjqrcuhPOTVwBJQugjb3tXbWwj3AVfAwAMnfvBoPNbJHpvD/nCD6hIuwPKxTMwdhkA+7OZkGzhQZ1DbQ9jj5shGfTb5eq5r1I3NAukuroaq1atAuBdx0Od+fZTal81fPhw3wwU0g7/hTWm3pM8ePAgPB7/q/396U9/wssvvwwAWLJkSdBTvEaPHo3o6GiMHj066PpeeOEFmM1m7Nu3DzNmzPCNrC4sLMSkSZNQWFiIyMhIpKamBjyHOn++oWWE9UK9X+/+IQdKgNUXnTvS4dz8BwBAyEMrYE2qvydDQ8pfHYXSaRLKXx0VdH2KxwW54rzvl1JTcekbyhVflysD31LwnPS+oZkaWGJbL/TcHrLjLMrT74T840kY4m+AfeanMIQFN9sFuNweDS15rgd67qs2bNiARx99FJmZmVfc5qipqcHOnTsxevRo5ObmAgCee+65gOdRA0Zb6KvaA33Os2tHBg0ahISEBBQUFGD37t249db6GyLNm3dpwR6DAcuWLcOyZcsCnm/Hjh3o0qWLsPr69++P9PR0pKam4oMPPsD69evrbde+evXqBpcO3rFjBwD49iHQM2O3m2CI6Q75/HG48z+HuV/9BZKq/35pB1PJAOe2hXBuWxjwfBFzv4Yh+jph9bmPfomK5fWXbVfKz6Js9uWltA0duyFycYHfc7gOeXcVtdz0kLC6tKLn9qj54s+QS44AAOTSQjgW/CLgsZabHkKonxklissJV/5OQJJgDrDXil7oua9SFAVbt271LeRlt9thsVhQVlbmC0NWqxULFy7Evffe6/ccTqcTWVlZDe61QmIxYGhMkiRMnDgRL730EjZu3Oj3h1Zdj0KWZZw9e7bB8/lbiltdIEddsjtYEyZMQN++fbFixQpkZ2ejtLQU1157LUaNGoVZs2ahe/fuAR+bk5OD48ePIyEhAUlJ+p9dIUkSLDf/N5wfzUPtN+v8vqFB3dRNkaE0sjCSv0/d6uJWxm5Dr7reYLkLvoF89igMMd1h6j2qxZ8/WLpuD6XOz5rTAcUZeH0Fpdr/zAvXgS2AsxymPrfBGNty0zebQ899VXJyMpYvX45du3YhNzcX586dg8PhQHh4OLp3746RI0di0qRJSEhICHiOzMxMVFRU4JZbbsH1118f1PNT83C7dj9Eb4FcVFSEgQMHwm63Izc3F1arVdi5S0pK0K9fP4SEhCAnJwdxcWK3527MvHnzsHLlSsyfPx+zZs0Sfn4ttmuXL55B2e8SINnCEbnkDCSzuPaQy4pR9nw8YA5B5OITDe7GqYWqDbNRs2M5bOMWI+SeucLPr8V27e25PdSt6MMeXwvLsAlCz63Fdu3tua9St6LPyMhASkqK8PNzu/b6OAajBcTHx2Py5MkoLS1tcI52c6ibC02ZMqXFf2AdDgfee+89xMTEYOpUfS6b7Y8h6hpYb5kGpfICave8I/Tc6sZb1lufavE3M6W6DLVf/gVSeCxstz3dos99Ndpre3jOHoVr/0cwxN8Acxu4XQW0377q+PHj+Pjjj9GnT582cSu3vWDAaCFz5syB3W7Ha6+91uiI6GBkZ2fDZrPhmWeeEXbOpnrrrbfgcDgwa9YshIcHN7K+tdnumw9Y7XBmLoHiEdce7u+/AMw22JIDDzTTivOz16FUl8F29++CnunQ2tple3zyMiB7EDLuJV3PHvmp9thXpaWlwePxYN68eZw90oJ4i8QP0ZcdVVu2bMGhQ4fw8MMPo2vXrpo8R0vKyMjAxYsX8eyzzwq9lFqXFrdIVLU5m+Ap3A/LiMkwxiRo8hwtybnzDShVpbAlPy/0NkNdWtwiUbWn9lBkGc5PXoFkssCWPEeT59DiFomqPfVVsiwjPT0dZrNZ03DDWyT1MWD4odUPLQVPy4BBwdMyYFBwtAwYFDwGjPp4rYiIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhJOUhSltWsQQpKkbwEMbu06iIiIrsI+RVGGtHYRIphauwA9unDhQmuXQJdER0ejw1vtIwS3B6XTJLaHTpROk9hX6Uh0dHRrl6A7vEVCREREwjFgEBERkXAMGERERCQcAwYREREJx4BBREREwjFgEBERkXAMGERERCQcAwYREREJx4BBREREwjFgEBERkXAMGERERCQcAwYREREJx4BBREREwjFgEBERkXAMGERERCQcAwYREREJx4BBREREwjFgEBERkXAMGERERCQcAwYREREJx4BBREREwjFgEBERkXAMGERERCQcAwYREREJx4BBREREwjFgEBERkXAMGERERCQcAwYREREJx4BBREREwjFgEBERkXAMGERERCQcAwYREREJx4BBREREwjFgEBERkXAMGERERCQcAwYREREJx4BBREREwjFgEBERkXAMGC3onnvuQWxsLI4fP97apQjxwAMPICYmBrm5ua1dSrM4/piE0qdM8Jw92tqlCFGefhdKf2OE5/TB1i6lWdpTeyiyjLI/9EXps3bIjpLWLido7amvkmUZw4cPx3XXXYezZ8+2djk/K6bWLuDn4uOPP8ZXX32F8ePHo3v37ld878yZM/j73/+Offv2IS8vD+fPn4fD4UBERAT69u2LMWPG4LHHHoPVatWsvpycHLzxxhvIzs5GaWkpYmJicNttt2HmzJn16lXNmTMHu3btwoIFC7Bu3TrNatNC7f7N8Bz7EpZhE2GM63nF9+TS06jduxbugr3wFB2G4jgLpboMUkgkjNfcCPPgB2G95UlIZvHtIZcWwnVkFzwFX8N98mt4TuUArmpIEZ0QtbS4wcfa7p2Hiv/sQPWmubA/vUV4bVrSa3u4T34L1/6P4P7+C3iKcqFUlkKyhXufd8j4S89rq/c4yWCA7Z65qHp3MpxbFyJ0whvCa9OKXvuqbdu2ISsrC9999x1Onz6NH3/8EQAQHx+PESNGYOrUqRgwYEC9xxkMBsycORMzZszAsmXL8Mc//lF4beSfpChKa9cghCRJ3wIYLOJcFy5cEHEaH1mWkZSUhPz8fOzZswd9+vS54vv/+Mc/8MQTT/j+brVaYbFYUF5e7vta7969sXHjRlxzzTVCawOA999/H6mpqXC73ZAkCeHh4XA4HACAsLAwrFmzBiNHjvT72Pvuuw/Z2dnYtm0bEhMThdcWHR2NDm+J/T+qyDIcC/8LclEuIl48DGN8vyu+X/v1OlSumnD5Cyar95fT4fuSIb4fwlM/haHDtUJrq/pgJmo+e63e15sSMACgfOlIuI9mIfy5LJh6JgmtDQBKp0k/m/ao+WoNqv73kctfkAyQQiKgVF2s87w3IDx1u9/nVTxuOP7QG3JpISIW5MMYc72w2gBvW/yc+qrhw4fj+++/9/09MjISlZWVcLvdALxB4sUXX8QzzzxT77FutxtDhw7FmTNnsHfvXnTr1k1obYC3rxJkn6IoQ0SdrDXxFkkL+Ne//oW8vDwkJibW+4EFgC5duuD555/HRx99hGPHjqGoqAgnT55EQUEB0tLSYLfbceTIEUyfPl14bYcPH8bMmTPhdrsxfvx45Ofno6CgAPv378eoUaNQWVmJxx57DOfPn/f7+Ece8XbAK1euFF6bVty5mZDPHIapR1K9NzMAMER3he3+F2H/7WeIXP4jOrzpRIfXyhCVXobQR94GrHbIRf9B5TuTxBcnSTDE9oD5pocQ8uAyWO/8bVAPtyQ9DgBw7kgTX5tGdNseHhdgCYUl6QnYf/sZolZUISqtFFGvORDy6xWANQxyUS4q3kqBvw9qktEES+JjgMeFmp1t4wqGnvuqcePGYcWKFfj6669RXFyMEydOoLi4GLt27UJycjJkWcaLL76IPXv21HusyWTCr3/9a7hcLmRkZAivjfzjFQw/RH8qmDRpErZs2YKlS5fi8ccfD/rxf/vb35CamgoAOHDgALp06SKstkceeQTbtm3DoEGDsH37dhiNRt/3KioqMGLECJw+fRrTp0/HokWL6j3e4XCgb9++8Hg8OHToEGJjY4XVBmhzBaPizylw5WxEyIQ3YRsVfEdYs/svqPrbVABA5MunYIi+TlhtiuyBZLjcBjV73kXV6ilNvoKhVDtw8blOgOxB5CuFMETECasN0OYKhl7bw1NyBFJIJAwRnfw/b/ZqVL07GQBgn/05zL1v9XsOxx/6QAqPReSS05CMZiG1AdpcwdBzX9WQ2tpaJCYmoqCgABMnTsSKFSvqHXP06FEMGzYMMTExOHz4MMxmcW0B8AqGP7yCobELFy4gMzMTkiRh7NixzTrH4MGXc1NxceNvMk1VVlaGTz/9FAAwffr0K8IFANjtdkyZMgUAsHHjRr+f0iIiInD77bfD5XJhw4YNwmrTilzxI1wH/glIEixDxjfrHMaEoZfPV3ZGVGkAcEW4aNbjQyJgvuGXgMeF2r1rBFWlHT23h7FT74DhAgAswx4GTBYAgOfktwHPYewyAEr5ObgO6HtcjJ77qsZYLBb079+/weft2bMn+vfvj/PnzyMzM7PFavs5Y8DQWFZWFlwuF3r06IGYmJhmnWPv3r2+P3ft2lVUafj3v/8Nl8sFALjtttv8HnP77bcD8P7Q5ufn+z1m2LBhAICdO3cKq00r7vydgMcFQ1wvGMKbd7XFc+zyJVhDxwRBlYlj6nEzAMCVu72VK2lcW24PyWiGZA33/kX2BDyurbSHnvuqxjidThw4cAAAGhxfMXz4cABto69qDziLRGNfffUVAPgd3dyQ2tpaFBUVYcuWLXj55ZcBAGPHjkVcnLhL3mpg6NSpU8DLe3Xvw+bn56Nv3771jhk0aBAAb+ciyzIMBv3mVvexLwEAxq7BXYFU3LWQL56GK2cTqjfPBwCYh4xv8BNuazEm3AQAcB/bA0WWIbE9NOE5cxhKpXcmg/Ha/gGPM3a71B5Hs1qkrubSc18VSGlpKQ4fPoxXX30Vp06dgtFo9F119WfgwIEAgOzsbM1rIwYMze3btw8AcOONNzbp+CFDhuDEiRNXfE29ZOnvvuLVUC8ldu7cOeAxISEhiIyMRFlZGUpK/M/nVy9NlpeXIz8/H/361R+opxfuAu8nLFOX/2rS8WXzekI+d+zKL0oSzEPGI2zS/4ouTwhjl0tvEE4H5OL/wHhN0/7vtYa23B7VH80D4B2Eaup7R8DjjNd520MuyoXiLIdkC2+R+oKl576qrvXr1+M3v/lNva/HxsZixYoVDdav9lX5+fkoLy9HeLg+26K90O9Hm3ZCfVNu6gCgjh07Ii4uDna73fe1cePGYf78+Vd8TYSqqioAgM1Wfx5/XaGhoQCAyspKv9+Pioryjd8IFEL0QikrAgBI9qZdApbssZAiOgHWy//25iH/FyHjFkOyiW0PUaTQDsClsRzypderV221PWqyMuD67kMAQMj4NEiXxmL4Y1Bfm6LoetEtPfdVddlsNsTFxSE2NtZ3tTQ6OhqLFi3y3dJtqGYAUBQF586d06xG8mLA0Ji6GExUVFSTjt++fTvy8vJw6tQp5OXl4fe//z22b9+OpKQkfPjhh0JrUwdtSpJ0VeeRJAkREREALr9evZIrvNNtpdAOTTo+4oVsRC0tRofXyxG5tBi2sYvgOrgFjgW/QO23+hzUKkkSpJBIAIBS4X96sV60xfZwHdmFqnXetRaso2bAMvhXDR5f97XpuT303FfVNWbMGOTl5SE/Px+nT5/Gtm3b0Lt3b0ybNg0pKSm+NXz8iYyM9P1Z731Ve8CAobHa2loA3lHOwYqLi8Ps2bORkZEBp9OJp59+GmfOiBslHxYWBgCorq5u8Dj1Sod6vD/qVRCn0ymoOo24a7y/G4NvD0NEJ4Tc+3uEPf4+4HKi8t3JkEtPCy5QkEurSyq1Dbdtq2tj7eEu+AYVb44B3DUwD3wAIQ/VXxStnjorfSou/baHnvuqQKxWKxITE7F582YMGTIEWVlZWLx4ccDj616t1X1f1Q4wYGisQwfvp5eysrJmn+Puu+/Gddddh6qqKmzcuFFUab6xFw1NJ6uurvbV3qlT4AF0HI00RAAACclJREFUFy96VzcUOBdcE1Kotz6l+mIjRwZmGTAaho7dgNoq1H6jzyXSlcpSAIBk79jKlTSsLbWH5/RBVLz+S8DpgOmGZIQ9sa5J04rVtgAAKUy/7aHnvqoxJpPJN7hz7dq1AY9T+ylA/31Ve8CAoTH1P3Hd/9jNER8fDwAoKCi42pJ81BkhJSUlARfsqTs11d/KfgBQU1Pjuwqi9x9a9V6/UlXayJGNnCfKuzR0vQGHOqC4aoBLn5QNTRzb0FraSnt4ivNQnnYnlMoLMPW8BfanNjU47qKuuq9Nz+2h574qmOetqKgIOL6CAaNlMWBorGdP78ZNJ0+evKrz/PDDDwAavk0RrMTERN9qdp9//rnfY9T54p07dw4YME6dOgXAe++/V69ewurTgrGz9zXI5080cmTD5B8LvH+w6m+gp682SYKhk/8204u20B6ec8dQnnYHlPKzMCYMhf2ZrZAsoUHXJoVEQooIPGOrtem5r2qKunUHem61r4qIiGjwiiyJwYChMXVhl++++y7gMepmPYFs2LABRUXe0fYjRowQVltERATuuusuAN69RGRZvuL7lZWVeOeddwAAKSkpAQeD5uTkAPBucqT3TwXqokeek98EPEbxNNweNV+tgXLRe3/Z1PMWccUJ4i74GgBg6NwPBp3fItF7e8gXfkBF2h1QLp6BscsA2J/NDHqaqdoexh4363pNEj33VY09b3V1NVatWgXAu46HOvPtp9S+avjw4bper6e94L+wxtQdRg8ePAiPx/9qf/fddx/S09ORl5d3xTGFhYVYsmSJb3fAgQMHIjk5ud7jR48ejejoaIwePTro+l544QWYzWbs27cPM2bM8I2sLiwsxKRJk1BYWIjIyEjf/gL+qPPnRXYoWlF3GHX/kAMlwOqL5ctGwvnJK/Ccyb3iGPnCKVT/8/+h6q//DcC7OJT5F/fVf/yro1A6TUL5q6OCrk/xuCBXnPf9UmoqLn1DueLrcmXgWwqek943NFMv/YWfn9Jze8iOsyhPvxPyjydhiL8B9pmfwhDWtNkudantYdZ5e+i5r9qwYQMeffRRZGZmXnGbo6amBjt37sTo0aORm5sLAHjuuecCnkcNGG2hr2oPuNCWxgYNGoSEhAQUFBRg9+7duPXW+hsiFRcXY8GCBViwYAHMZjPCw8NRU1NzxboTgwcPxpo1a4Sn7v79+yM9PR2pqan44IMPsH79+nrbta9evbrBpYN37NgBAHjggQeE1qYFY7ebYIjpDvn8cbjzP4e5X/0FkpSyM6jeNBfVm+YCRjMkWwQUtxOoudwexoShsE/fLPwTqfvol6hYXn/ZdqX8LMpmX15K29CxGyIXF/g9h+vQNgCA5aaHhNamBT23R80Xf4ZccgQAIJcWwrHgFwGPtdz0EEL9zChRXE648nf6FgPTMz33VYqiYOvWrdi6dSsA7z5JFosFZWVlvqBjtVqxcOFC3HvvvX7P4XQ6kZWVdVV7rVBweAVDY5IkYeLEiQAQcFT1m2++idTUVAwdOhSxsbGorKyELMvo2rUr7r//fmRkZCAzMzPgPUN1gRx1ye5gTZgwAZmZmRg3bhzi4uLgdDpx7bXXYuLEidi1axdGjhwZ8LE5OTk4fvw4EhISkJSU1Kznb0mSJMFys/cTb6AZB6GPvQvrL/8Hxu4jIEV08l5FkGUYOibAPOhXCJv6PsL/JxuGSP/309XFrYzdhvr9vpbcBd9APnsUhpjuMPUe1eLPHyxdt4dS55ah0wHFURL4V7X/mReuA1sAZzlMvUfBGNsjuOdvYXruq5KTk7F8+XKMHTsWvXr1gslkgsPhQHh4OAYPHoyZM2ciOzsbU6dODXiOzMxMVFRUICkpCddff31Qz0/Nw+3a/RC9BXJRUREGDhwIu92O3NxcWK1WYecuKSlBv379EBISgpycnBZZ/7+uefPmYeXKlZg/fz5mzZol/PxabNcuXzyDst8lQLKFI3LJGUhmce0hlxWj7Pl4wByCyMUnWnyvkqoNs1GzYzls4xYj5J65ws+vxXbt7bk91K3owx5fC8uwCULPrcV27e25r1K3os/IyEBKSorw83O79vp4BaMFxMfHY/LkySgtLW1wjnZzfPmld7OoKVOmtPgPrMPhwHvvvYeYmJgGPznojSHqGlhvmQal8gJq97wj9NzuI7sAANZbn2rxNzOlugy1X/4FUngsbLc93aLPfTXaa3t4zh6Fa/9HMMTfAHMbuF0FtN++6vjx4/j444/Rp0+fNnErt71gwGghc+bMgd1ux2uvvdboiOhgZGdnw2az+QZXtaS33noLDocDs2bNanObBtnumw9Y7XBmLml0lkIw3N9/AZhtsCUHHmimFednr0OpLoPt7t/pdkOtQNple3zyMiB7EDLuJV3PHvmp9thXpaWlwePxYN68eZw90oJ4i8QP0ZcdVVu2bMGhQ4fw8MMPo2vXrpo8R0vKyMjAxYsX8eyzzwq9lFqXFrdIVLU5m+Ap3A/LiMkwxiRo8hwtybnzDShVpbAlPy/0NkNdWtwiUbWn9lBkGc5PXoFkssCWPEeT59DiFomqPfVVsiwjPT0dZrNZ03DDWyT1MWD4odUPLQVPy4BBwdMyYFBwtAwYFDwGjPp4rYiIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDgGDCIiIhKOAYOIiIiEY8AgIiIi4RgwiIiISDhJUZTWrkEISZK+BTC4tesgIiK6CvsURRnS2kWIwCsYREREJBwDBhEREQnHgEFERETCMWAQERGRcAwYREREJBwDBhEREQnHgEFERETCMWAQERGRcAwYREREJBwDBhEREQnHgEFERETCMWAQERGRcAwYREREJBwDBhEREQnHgEFERETCMWAQERGRcAwYREREJFx7ChgJrV0AERHRVUpo7QJEMbV2AQI5Lv1e0JpFEBERNVMCLr+XtXmSoiitXQMRERG1M+3pFgkRERHpBAMGERERCceAQURERMIxYBAREZFwDBhEREQkHAMGERERCceAQURERMIxYBAREZFwDBhEREQkHAMGERERCceAQURERMIxYBAREZFwDBhEREQkHAMGERERCceAQURERMIxYBAREZFw/x/5XFqfftv3LgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 268
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 268
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 283
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 566,
       "width": 277
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 566,
       "width": 277
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 288x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 566,
       "width": 277
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 235,
       "width": 687
      }
     },
     "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": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 235,
       "width": 687
      }
     },
     "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": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%reload_ext version_information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table><tr><th>Software</th><th>Version</th></tr><tr><td>Python</td><td>3.6.8 64bit [GCC 4.2.1 Compatible Clang 4.0.1 (tags/RELEASE_401/final)]</td></tr><tr><td>IPython</td><td>7.5.0</td></tr><tr><td>OS</td><td>Darwin 18.2.0 x86_64 i386 64bit</td></tr><tr><td>numpy</td><td>1.16.3</td></tr><tr><td>matplotlib</td><td>3.0.3</td></tr><tr><td colspan='2'>Mon May 06 12:41:58 2019 JST</td></tr></table>"
      ],
      "text/latex": [
       "\\begin{tabular}{|l|l|}\\hline\n",
       "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n",
       "Python & 3.6.8 64bit [GCC 4.2.1 Compatible Clang 4.0.1 (tags/RELEASE\\_401/final)] \\\\ \\hline\n",
       "IPython & 7.5.0 \\\\ \\hline\n",
       "OS & Darwin 18.2.0 x86\\_64 i386 64bit \\\\ \\hline\n",
       "numpy & 1.16.3 \\\\ \\hline\n",
       "matplotlib & 3.0.3 \\\\ \\hline\n",
       "\\hline \\multicolumn{2}{|l|}{Mon May 06 12:41:58 2019 JST} \\\\ \\hline\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "Software versions\n",
       "Python 3.6.8 64bit [GCC 4.2.1 Compatible Clang 4.0.1 (tags/RELEASE_401/final)]\n",
       "IPython 7.5.0\n",
       "OS Darwin 18.2.0 x86_64 i386 64bit\n",
       "numpy 1.16.3\n",
       "matplotlib 3.0.3\n",
       "Mon May 06 12:41:58 2019 JST"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%version_information numpy, matplotlib"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "py3.6",
   "language": "python",
   "name": "py3.6"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}