{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# CS579: Lecture 07  \n",
    "\n",
    "**Link Prediction**\n",
    "\n",
    "*[Dr. Aron Culotta](http://cs.iit.edu/~culotta)*  \n",
    "*[Illinois Institute of Technology](http://iit.edu)*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Goal:\n",
    "\n",
    "- Given a graph $G$ at time $t$, predict which edges will be added at time $t+1$.\n",
    "\n",
    "<br><br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Applications?\n",
    "\n",
    "<br><br><br><br>\n",
    "- Introduce potential friends \n",
    "- Introduce potential collaborators\n",
    "- Recommend a movie"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## What information can we use to recommend friends?\n",
    "\n",
    "<br><br><br>\n",
    "\n",
    "- friends of friends\n",
    "- similar attributes (e.g., same schools)\n",
    "\n",
    "<br><br>\n",
    "\n",
    "- The methods we'll discuss today only consider graph structure.\n",
    "- We'll look at attribute-based approaches in the second part of the course.\n",
    "\n",
    "<br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's revisit the co-authorship dataset\n",
    "\n",
    "- Each node is an author\n",
    "- Undirected edges link co-authors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import numpy as np\n",
    "import urllib.request\n",
    "# Fetch co-author network from http://snap.stanford.edu/data/ca-GrQc.html\n",
    "urllib.request.urlretrieve(\"http://snap.stanford.edu/data/ca-GrQc.txt.gz\", \"ca-GrQc.txt.gz\")\n",
    "graph = nx.read_edgelist('ca-GrQc.txt.gz')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5242"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# How many nodes in graph?\n",
    "graph.order()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## First, we'll pick a random author\n",
    "\n",
    "The one with the 500th most co-authors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "selected author 13813 with degree 13\n"
     ]
    }
   ],
   "source": [
    "degrees = dict(graph.degree())\n",
    "author = sorted(degrees.items(),\n",
    "                key=lambda x: x[1],\n",
    "                reverse=True)[500][0]\n",
    "print('selected author %s with degree %d' % \n",
    "      (author, graph.degree()[author]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Next, let's draw the subgraph around this author\n",
    "\n",
    "- Can't visualize the entire graph very easily.\n",
    "- Instead, draw the neighborhood of one author."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function subgraph in module networkx.classes.function:\n",
      "\n",
      "subgraph(G, nbunch)\n",
      "    Returns the subgraph induced on nodes in nbunch.\n",
      "    \n",
      "    Parameters\n",
      "    ----------\n",
      "    G : graph\n",
      "       A NetworkX graph\n",
      "    \n",
      "    nbunch : list, iterable\n",
      "       A container of nodes that will be iterated through once (thus\n",
      "       it should be an iterator or be iterable).  Each element of the\n",
      "       container should be a valid node type: any hashable type except\n",
      "       None.  If nbunch is None, return all edges data in the graph.\n",
      "       Nodes in nbunch that are not in the graph will be (quietly)\n",
      "       ignored.\n",
      "    \n",
      "    Notes\n",
      "    -----\n",
      "    subgraph(G) calls G.subgraph()\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(nx.subgraph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "subgraph has 30 nodes\n"
     ]
    }
   ],
   "source": [
    "def get_subgraph(graph, nodes, n=100):\n",
    "    \"\"\" Get the subgraph consisting of a list node\n",
    "    and their neighbors, plus their neighbors'\n",
    "    neighbors, up to $n$ total nodes\"\"\"\n",
    "    neighbors = set()\n",
    "    for ni in nodes:\n",
    "        neighbors |= set(graph.neighbors(ni))\n",
    "    # plot at least the target node and his neighbors.\n",
    "    result = set(nodes) | neighbors\n",
    "    # add \"friends of friends\" up to n total nodes.\n",
    "    for x in neighbors:\n",
    "        # how many more nodes can we add?\n",
    "        maxsize = n - len(result) \n",
    "        toadd = set(graph.neighbors(x)) - result\n",
    "        result.update(list(toadd)[:maxsize])\n",
    "        if len(result) > n:\n",
    "            break\n",
    "    return graph.subgraph(result)\n",
    "\n",
    "subgraph = get_subgraph(graph, [author], n=30)\n",
    "print('subgraph has %d nodes' % len(subgraph.nodes()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "def plot_subgraph(subgraph, target_nodes):\n",
    "    \"\"\"\n",
    "    Plot this subgraph of nodes, coloring\n",
    "    the specified list of target_nodes in red.\n",
    "    \"\"\"\n",
    "    nodes = list(subgraph.nodes())\n",
    "    colors = ['b'] * len(nodes)\n",
    "    for n in target_nodes:\n",
    "        idx = nodes.index(n)\n",
    "        colors[idx] = 'r'\n",
    "    sizes = [800] * len(nodes)\n",
    "    sizes[idx] = 1000\n",
    "    plt.figure(figsize=(10,10))\n",
    "    plt.axis('off')\n",
    "    nx.draw_networkx(subgraph, nodelist=nodes, with_labels=True,\n",
    "                     width=.5, node_color=colors,\n",
    "                     node_size=sizes, alpha=.5)\n",
    "\n",
    "plot_subgraph(subgraph, [author])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Who should we recommend that author 13813 collaborate with next?\n",
    "\n",
    "<br><br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Approaches\n",
    "\n",
    "\n",
    "Treat **link prediction** as a **ranking problem.**\n",
    "\n",
    "\n",
    "- Score each possible new edge $s(X,Y)$.\n",
    "- Rank all possible edges in descending order of $s(X,Y)$.\n",
    "- Higher $s(X,Y)$ $\\rightarrow$ more likely for the edge to appear.\n",
    "\n",
    "\n",
    "<br><br>\n",
    "\n",
    "Let's look at a few possible ranking functions:\n",
    "\n",
    "<br><br><br>\n",
    "\n",
    "\n",
    "1.) **Shortest Path:** $s(X,Y) = $ length of shortest path from $X$ to $Y$.\n",
    "\n",
    "\n",
    "<br><br><br>\n",
    "Advantages? Disadvantages?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "top predicted edges:\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[('13813', 0),\n",
       " ('17559', 1),\n",
       " ('19206', 1),\n",
       " ('409', 1),\n",
       " ('2474', 1),\n",
       " ('4241', 1),\n",
       " ('6746', 1),\n",
       " ('8680', 1),\n",
       " ('10476', 1),\n",
       " ('16568', 1),\n",
       " ('19204', 1),\n",
       " ('20373', 1),\n",
       " ('21771', 1),\n",
       " ('24620', 1),\n",
       " ('1674', 2),\n",
       " ('3323', 2),\n",
       " ('9184', 2),\n",
       " ('19657', 2),\n",
       " ('21646', 2),\n",
       " ('21943', 2)]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def rank_by_shortest_path(graph, node):\n",
    "    \"\"\"\n",
    "    Score each potential edge from target node X to another \n",
    "    node Y by the length of the shortest path from X to Y.\n",
    "    \n",
    "    Params:\n",
    "      graph: networkx Graph\n",
    "      node: target node to recommend an edge for\n",
    "    Returns:\n",
    "      List of (id, score) tuples for edges from node to id.\n",
    "    \"\"\"\n",
    "    paths = nx.shortest_path_length(graph, node)\n",
    "    return sorted(paths.items(), key=lambda x: x[1])\n",
    "\n",
    "shortest_paths = rank_by_shortest_path(graph, author)\n",
    "print('top predicted edges:')\n",
    "shortest_paths[:20]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('1674', 2),\n",
       " ('3323', 2),\n",
       " ('9184', 2),\n",
       " ('19657', 2),\n",
       " ('21646', 2),\n",
       " ('21943', 2),\n",
       " ('23204', 2),\n",
       " ('25034', 2),\n",
       " ('18344', 2),\n",
       " ('639', 2)]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[s for s in shortest_paths if s[1] == 2][:10]\n",
    "# Many shortest paths of length 2!\n",
    "# No way to choose among them!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "57"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len([s for s in shortest_paths if s[1] == 2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Approaches\n",
    "\n",
    "**Idea:** If $X$ and $Y$ have many co-authors who have co-authored, then $X$ and $Y$ are more likely to co-author.\n",
    "\n",
    "<br><br><br>\n",
    "\n",
    " 2.) **Common Neighbors:** $$|N(X) \\cap N(Y)|$$\n",
    " \n",
    " - where $N(X)$ is the set of neighbors of X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Histogram of number of nodes with common neighbors:\n",
      " [(1, 58), (2, 9), (4, 2), (13, 1), (5, 1)]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "top predicted edges:\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[('13813', 13),\n",
       " ('23204', 5),\n",
       " ('17559', 4),\n",
       " ('19204', 4),\n",
       " ('25034', 2),\n",
       " ('21646', 2),\n",
       " ('8680', 2),\n",
       " ('9184', 2),\n",
       " ('20373', 2),\n",
       " ('409', 2),\n",
       " ('4241', 2),\n",
       " ('6746', 2),\n",
       " ('20344', 2),\n",
       " ('10235', 1),\n",
       " ('19297', 1),\n",
       " ('1727', 1),\n",
       " ('21705', 1),\n",
       " ('24924', 1),\n",
       " ('14746', 1),\n",
       " ('10055', 1)]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from collections import Counter\n",
    "\n",
    "def rank_by_common_neighbors(graph, node):\n",
    "    \"\"\"\n",
    "    Score each potential edge from target node X to another \n",
    "    node Y by the number of neighbors in common.\n",
    "    \n",
    "    Params:\n",
    "      graph: networkx Graph\n",
    "      node: target node to recommend an edge for\n",
    "    Returns:\n",
    "      List of (id, score) tuples for edges from node to id.\n",
    "    \"\"\"\n",
    "    neighbors = set(graph.neighbors(node))\n",
    "    scores = []\n",
    "    for n in graph.nodes():\n",
    "        neighbors2 = set(graph.neighbors(n))\n",
    "        scores.append((n, len(neighbors & neighbors2)))\n",
    "    return sorted(scores, key=lambda x: x[1], reverse=True)\n",
    "\n",
    "common_neighbors = rank_by_common_neighbors(graph, author)\n",
    "nonzero_scores = [x[1] for x in common_neighbors if x[1] > 0]\n",
    "print('Histogram of number of nodes with common neighbors:\\n', \\\n",
    "    Counter(nonzero_scores).most_common())\n",
    "\n",
    "# plot scores\n",
    "plt.figure()\n",
    "plt.plot(sorted(nonzero_scores))\n",
    "plt.xlabel('rank')\n",
    "plt.ylabel('score')\n",
    "plt.show()\n",
    "\n",
    "print('top predicted edges:')\n",
    "common_neighbors[:20]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pair = set([author, '23204'])\n",
    "plot_subgraph(get_subgraph(graph, pair, n=30), pair)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Approaches\n",
    "\n",
    "**Idea:** If $X$ and $Y$ have many co-authors who have co-authored, then $X$ and $Y$ are more likely to co-author.\n",
    "\n",
    " 3.) **Jaccard coefficient:** $$\\frac{|N(X) \\cap N(Y)|}{|N(X) \\cup N(Y)|}$$\n",
    " \n",
    " For a randomly selected node $Z \\in N(X) \\cup N(Y)$, how likely is it that $Z$ is in both $N(X)$ and $N(Y)$?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('13813', 1.0),\n",
       " ('23204', 0.25),\n",
       " ('19204', 0.2),\n",
       " ('17559', 0.18181818181818182),\n",
       " ('409', 0.14285714285714285),\n",
       " ('6746', 0.14285714285714285),\n",
       " ('20344', 0.14285714285714285),\n",
       " ('8680', 0.125),\n",
       " ('21646', 0.1),\n",
       " ('12852', 0.07692307692307693),\n",
       " ('16333', 0.07692307692307693),\n",
       " ('18344', 0.07692307692307693),\n",
       " ('19940', 0.07142857142857142),\n",
       " ('3633', 0.07142857142857142),\n",
       " ('4241', 0.06896551724137931),\n",
       " ('21705', 0.06666666666666667),\n",
       " ('25034', 0.06666666666666667),\n",
       " ('19206', 0.06666666666666667),\n",
       " ('2474', 0.06666666666666667),\n",
       " ('24620', 0.06666666666666667)]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def rank_by_jaccard(graph, node):\n",
    "    neighbors = set(graph.neighbors(node))\n",
    "    scores = []\n",
    "    for n in graph.nodes():\n",
    "        neighbors2 = set(graph.neighbors(n))\n",
    "        scores.append((n, len(neighbors & neighbors2) /\n",
    "                          len(neighbors | neighbors2)))\n",
    "    return sorted(scores, key=lambda x: x[1], reverse=True)\n",
    "\n",
    "common_jaccard = rank_by_jaccard(graph, author)\n",
    "common_jaccard[:20]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x11e8f4cc0>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(sorted([x[1] for x in common_jaccard if x[1] > 0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How does Jaccard differ from Common Neighbors?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "28 shared ids in top 20\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>jaccard_rank</th>\n",
       "      <th>jaccard_score</th>\n",
       "      <th>common neighbors_rank</th>\n",
       "      <th>common neighbors_score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>13813</td>\n",
       "      <td>0</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>23204</td>\n",
       "      <td>1</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>19204</td>\n",
       "      <td>2</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>17559</td>\n",
       "      <td>3</td>\n",
       "      <td>0.181818</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>409</td>\n",
       "      <td>4</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>9</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>6746</td>\n",
       "      <td>5</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>11</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>20344</td>\n",
       "      <td>6</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>12</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>8680</td>\n",
       "      <td>7</td>\n",
       "      <td>0.125000</td>\n",
       "      <td>6</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>21646</td>\n",
       "      <td>8</td>\n",
       "      <td>0.100000</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>12852</td>\n",
       "      <td>9</td>\n",
       "      <td>0.076923</td>\n",
       "      <td>39</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       id  jaccard_rank  jaccard_score  common neighbors_rank  \\\n",
       "15  13813             0       1.000000                      0   \n",
       "21  23204             1       0.250000                      1   \n",
       "5   19204             2       0.200000                      3   \n",
       "1   17559             3       0.181818                      2   \n",
       "2     409             4       0.142857                      9   \n",
       "26   6746             5       0.142857                     11   \n",
       "6   20344             6       0.142857                     12   \n",
       "19   8680             7       0.125000                      6   \n",
       "23  21646             8       0.100000                      5   \n",
       "24  12852             9       0.076923                     39   \n",
       "\n",
       "    common neighbors_score  \n",
       "15                      13  \n",
       "21                       5  \n",
       "5                        4  \n",
       "1                        4  \n",
       "2                        2  \n",
       "26                       2  \n",
       "6                        2  \n",
       "19                       2  \n",
       "23                       2  \n",
       "24                       1  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Print the top 10 jaccard scores, and\n",
    "# compare with common neighbors scores.\n",
    "import pandas as pd\n",
    "\n",
    "def compare_scores(scores_list, names, n):\n",
    "    \"\"\"\n",
    "    Find top n scores for each method and compare.\n",
    "    \"\"\"\n",
    "    ids = set()\n",
    "    for scores in scores_list:\n",
    "        ids.update([x[0] for x in scores[:n]])\n",
    "    print('%d shared ids in top %d' % (len(ids), n))\n",
    "    results = []\n",
    "    # find rank and score for each id by each scoring metric.\n",
    "    for id_ in ids:\n",
    "        result = {'id': id_}\n",
    "        for scores, name in zip(scores_list, names):\n",
    "            for rank, (id2, score) in enumerate(scores):\n",
    "                if id2 == id_:\n",
    "                    result[name + '_rank'] = rank\n",
    "                    result[name + '_score'] = score\n",
    "                    break\n",
    "        results.append(result)\n",
    "    headers = ['id']\n",
    "    for name in names:\n",
    "        headers.append(name + '_rank')\n",
    "        headers.append(name + '_score')\n",
    "    return pd.DataFrame(results, columns=headers)\n",
    "    \n",
    "df = compare_scores([common_jaccard, common_neighbors],\n",
    "               ['jaccard', 'common neighbors'],\n",
    "               20)\n",
    "\n",
    "df.sort_values('jaccard_rank').head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "13813 shares 2 friends with 21646, 2 friends with 20344\n",
      "21646 has 9 total friends\n",
      "20344 has 3 total friends\n"
     ]
    }
   ],
   "source": [
    "# Look at one discrepancy:\n",
    "# common neighbor ranks 21646 > 20344 (actually a tie; score=2)\n",
    "# jaccard ranks         20344 > 8680 (.143 > .1)\n",
    "print('13813 shares %d friends with 21646, %d friends with 20344' % \n",
    "      (len(set(graph.neighbors(author)) & set(graph.neighbors('21646'))),\n",
    "       len(set(graph.neighbors(author)) & set(graph.neighbors('20344')))))\n",
    "print('21646 has %d total friends' % len(list(graph.neighbors('21646'))))\n",
    "print('20344 has %d total friends' % len(list(graph.neighbors('20344'))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pair = set([author, '20344'])\n",
    "plot_subgraph(get_subgraph(graph, pair, n=30), pair)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pair = set([author, '21646'])\n",
    "plot_subgraph(get_subgraph(graph, pair, n=30), pair)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "** Let's look at the friends shared by 13813 and 20344 **"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'19204', '8680'}"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "set(graph.neighbors(author)) & set(graph.neighbors('20344'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['17559',\n",
       " '13813',\n",
       " '23134',\n",
       " '20344',\n",
       " '409',\n",
       " '2001',\n",
       " '3633',\n",
       " '6746',\n",
       " '7935',\n",
       " '8680',\n",
       " '23204']"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(graph.neighbors('19204'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['17559', '13813', '20344', '19204', '23204']"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(graph.neighbors('8680'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "19204 has 11 neighbors; 8680 has 5 neighbors\n"
     ]
    }
   ],
   "source": [
    "print('19204 has %d neighbors; 8680 has %d neighbors' % \n",
    "      (len(list(graph.neighbors('19204'))),\n",
    "       len(list(graph.neighbors('8680')))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "** Which shared friend provides stronger evidence of a connection between 13813 and 20344? **\n",
    "\n",
    "<br><br><br><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Approaches\n",
    " 5.) **Adamic / Adar:** \n",
    " \n",
    "- Downweight each node in the neighbor intersection by the degree of that node.\n",
    "\n",
    "(e.g., the fact that we both follow CNN is less interesting than that we both follow the Chicago Tribune)\n",
    " \n",
    "$$\\sum_{z \\in N(X) \\cap N(Y)} \\frac{1}{\\log(|N(z)|)}$$\n",
    " \n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('13813', 19.78535802138797),\n",
       " ('19204', 6.520194824154786),\n",
       " ('23204', 6.099882396691225),\n",
       " ('17559', 5.202170679188602),\n",
       " ('409', 3.056155842078512),\n",
       " ('6746', 3.056155842078512),\n",
       " ('20373', 2.993614991792008),\n",
       " ('4241', 2.8442587098986194),\n",
       " ('20344', 2.3909291258625203),\n",
       " ('10235', 2.095903274289385),\n",
       " ('16568', 2.095903274289385),\n",
       " ('18344', 2.095903274289385),\n",
       " ('8680', 1.8579642852917506),\n",
       " ('24620', 1.660964047443681),\n",
       " ('5385', 1.660964047443681),\n",
       " ('24589', 1.660964047443681),\n",
       " ('11284', 1.660964047443681),\n",
       " ('4875', 1.660964047443681),\n",
       " ('25034', 1.6130499965393197),\n",
       " ('21646', 1.6130499965393197)]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import math\n",
    "\n",
    "def rank_by_adar(graph, node):\n",
    "    neighbors = set(graph.neighbors(node))\n",
    "    scores = []\n",
    "    for n in graph.nodes():\n",
    "        neighbors2 = set(graph.neighbors(n))\n",
    "        score = sum(1/math.log10(len(list(graph.neighbors(o))))\n",
    "                    for o in neighbors & neighbors2)\n",
    "        scores.append((n, score))\n",
    "    return sorted(scores, key=lambda x: x[1], reverse=True)\n",
    "\n",
    "adar = rank_by_adar(graph, author)\n",
    "adar[:20]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "33 shared ids in top 20\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>adar_rank</th>\n",
       "      <th>adar_score</th>\n",
       "      <th>jaccard_rank</th>\n",
       "      <th>jaccard_score</th>\n",
       "      <th>common neighbors_rank</th>\n",
       "      <th>common neighbors_score</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>13813</td>\n",
       "      <td>0</td>\n",
       "      <td>19.785358</td>\n",
       "      <td>0</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0</td>\n",
       "      <td>13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>19204</td>\n",
       "      <td>1</td>\n",
       "      <td>6.520195</td>\n",
       "      <td>2</td>\n",
       "      <td>0.200000</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>23204</td>\n",
       "      <td>2</td>\n",
       "      <td>6.099882</td>\n",
       "      <td>1</td>\n",
       "      <td>0.250000</td>\n",
       "      <td>1</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>17559</td>\n",
       "      <td>3</td>\n",
       "      <td>5.202171</td>\n",
       "      <td>3</td>\n",
       "      <td>0.181818</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>409</td>\n",
       "      <td>4</td>\n",
       "      <td>3.056156</td>\n",
       "      <td>4</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>9</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>6746</td>\n",
       "      <td>5</td>\n",
       "      <td>3.056156</td>\n",
       "      <td>5</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>11</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>20373</td>\n",
       "      <td>6</td>\n",
       "      <td>2.993615</td>\n",
       "      <td>44</td>\n",
       "      <td>0.055556</td>\n",
       "      <td>8</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>4241</td>\n",
       "      <td>7</td>\n",
       "      <td>2.844259</td>\n",
       "      <td>14</td>\n",
       "      <td>0.068966</td>\n",
       "      <td>10</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>20344</td>\n",
       "      <td>8</td>\n",
       "      <td>2.390929</td>\n",
       "      <td>6</td>\n",
       "      <td>0.142857</td>\n",
       "      <td>12</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>10235</td>\n",
       "      <td>9</td>\n",
       "      <td>2.095903</td>\n",
       "      <td>61</td>\n",
       "      <td>0.040000</td>\n",
       "      <td>13</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>16568</td>\n",
       "      <td>10</td>\n",
       "      <td>2.095903</td>\n",
       "      <td>31</td>\n",
       "      <td>0.062500</td>\n",
       "      <td>28</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>18344</td>\n",
       "      <td>11</td>\n",
       "      <td>2.095903</td>\n",
       "      <td>11</td>\n",
       "      <td>0.076923</td>\n",
       "      <td>69</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       id  adar_rank  adar_score  jaccard_rank  jaccard_score  \\\n",
       "19  13813          0   19.785358             0       1.000000   \n",
       "7   19204          1    6.520195             2       0.200000   \n",
       "26  23204          2    6.099882             1       0.250000   \n",
       "1   17559          3    5.202171             3       0.181818   \n",
       "3     409          4    3.056156             4       0.142857   \n",
       "31   6746          5    3.056156             5       0.142857   \n",
       "11  20373          6    2.993615            44       0.055556   \n",
       "6    4241          7    2.844259            14       0.068966   \n",
       "8   20344          8    2.390929             6       0.142857   \n",
       "22  10235          9    2.095903            61       0.040000   \n",
       "18  16568         10    2.095903            31       0.062500   \n",
       "12  18344         11    2.095903            11       0.076923   \n",
       "\n",
       "    common neighbors_rank  common neighbors_score  \n",
       "19                      0                      13  \n",
       "7                       3                       4  \n",
       "26                      1                       5  \n",
       "1                       2                       4  \n",
       "3                       9                       2  \n",
       "31                     11                       2  \n",
       "11                      8                       2  \n",
       "6                      10                       2  \n",
       "8                      12                       2  \n",
       "22                     13                       1  \n",
       "18                     28                       1  \n",
       "12                     69                       1  "
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = compare_scores([adar, common_jaccard, common_neighbors],\n",
    "                    ['adar', 'jaccard', 'common neighbors'],\n",
    "                    20)\n",
    "\n",
    "df.sort_values('adar_rank').head(12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Approaches\n",
    "\n",
    " 6.) **Preferential attachment:** $$|N(X)| \\times |N(Y)|$$\n",
    " \n",
    " \n",
    " <br><br>\n",
    " What will this do?\n",
    " \n",
    " <br><br><br>\n",
    " - Typically not used on its own, but could be used in combination with other functions to prefer links to more popular nodes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Approaches\n",
    "\n",
    "**Idea:** two nodes are similar if they have similar neighbors\n",
    "\n",
    " 7.) **SimRank:** $$s(X,Y) = \\gamma \\frac{\\sum_{A \\in N(X)} \\sum_{B \\in N(Y)}s(A,B)}{|N(X)| \\cdot |N(Y)|}$$\n",
    " \n",
    " $\\gamma \\in [0, 1]$ is a tuning parameter.\n",
    " \n",
    "- Recursive definition\n",
    "\n",
    "<br>\n",
    "<br>\n",
    "\n",
    "Solve iteratively:\n",
    "<br>\n",
    "- Start with fixed initial score for all pairs\n",
    "- Update all score at same time\n",
    "- Renormalize scores\n",
    "- Repeat\n",
    " <br><br><br><br>\n",
    " \n",
    "Advantage?\n",
    "\n",
    "<br><br><br>\n",
    "\n",
    "- Nodes can be similar even if they have zero common neighbors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "<br><br>\n",
    "\n",
    "# Evaluation\n",
    "\n",
    "**How can I tell which method is best?**\n",
    "\n",
    "<br><br><br><br>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Train/Test evaluation\n",
    "\n",
    "1. Create $G'$ by removing $n$ edges $E$ from $G$ at random.\n",
    "  - $G'$ is the **training** network\n",
    "  - $G$ is the **testing** network\n",
    "2. Score all potential edges to add in $G'$.\n",
    "3. Return $\\hat{E}$, the top $n$ edges with highest score.\n",
    "4. Compute the fraction of predicted edges that are in $G$:\n",
    "$$\\frac{|\\hat{E} \\cap E|}{|E|}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "removing 6 edges\n",
      "adar rank=\n",
      "('10235', 2.095903274289385)\n",
      "('20373', 2.095903274289385)\n",
      "('18344', 2.095903274289385)\n",
      "('4241', 1.660964047443681)\n",
      "('5385', 1.660964047443681)\n",
      "('24589', 1.660964047443681)\n",
      "true neighbors= ['17559', '4241', '19206', '8680', '21771', '20373']\n",
      "Adar finds 2/6 for accuracy of 0.333\n"
     ]
    }
   ],
   "source": [
    "# Evaluate Adar using train/test\n",
    "import random\n",
    "random.seed(123)\n",
    "\n",
    "def sample_edges(graph, node, pct=.5):\n",
    "    \"\"\" Randomly remove some edges for node.\n",
    "    Return:\n",
    "      the resulting graph G'\n",
    "      the list of friends of node whose edges were removed.\n",
    "    \"\"\"\n",
    "    edges = list(graph.edges([node]))\n",
    "    # Sample edges to remove.\n",
    "    to_remove = random.sample(edges, int(len(edges) * pct))\n",
    "    # Create the list of friends whose edges we have removed.\n",
    "    friends = []\n",
    "    for x in to_remove:\n",
    "        if x[0] != node:\n",
    "            friends.append(x[0])\n",
    "        else:\n",
    "            friends.append(x[1])\n",
    "    print('removing %d edges' % len(to_remove))\n",
    "    # Copy G into G' and remove the edges.\n",
    "    graph_cp = graph.copy()\n",
    "    graph_cp.remove_edges_from(to_remove)\n",
    "    return graph_cp, friends\n",
    "\n",
    "def filter_existing_edges(prediction, train_graph, author):\n",
    "    \"\"\"\n",
    "    Filter recommended edges to those that don't currently exist in the graph.\n",
    "    \"\"\"\n",
    "    return [p for p in prediction if p[0] not in train_graph.neighbors(author) and p[0] != author]\n",
    "\n",
    "train_graph, friends = sample_edges(graph, author, pct=.5)\n",
    "prediction = rank_by_adar(train_graph, author)\n",
    "prediction = filter_existing_edges(prediction, train_graph, author)[:6]\n",
    "print('adar rank=\\n' + '\\n'.join(str(x) for x in prediction))\n",
    "print('true neighbors=', friends)\n",
    "n_correct = len(set(friends) & set([x[0] for x in prediction]))\n",
    "print('Adar finds %d/%d for accuracy of %.3f' %\n",
    "      (n_correct, len(friends),\n",
    "      (n_correct / len(friends))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another evaluation metric: **Mean Reciprocal Rank**\n",
    "\n",
    "- What is the average position of the true neighbors on the ranked list?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[('17559', 9), ('4241', 4), ('19206', 994), ('8680', 10), ('21771', 996), ('20373', 2)]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.16052019389877867"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def mrr(prediction, truth):\n",
    "    # dict from node id to rank (starting at 1)\n",
    "    node2pos = {n[0]:i+1 for i, n in enumerate(prediction)}\n",
    "    ranks = [node2pos[n] for n in truth]\n",
    "    print(list(zip(truth, ranks)))\n",
    "    return np.mean([1/r for r in ranks])\n",
    "\n",
    "prediction = rank_by_adar(train_graph, author)\n",
    "prediction = filter_existing_edges(prediction, train_graph, author)\n",
    "mrr(prediction, friends)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pair = set([author, '19206'])\n",
    "plot_subgraph(get_subgraph(train_graph, pair, n=30), pair)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[('17559', 10), ('4241', 14), ('19206', 994), ('8680', 6), ('21771', 996), ('20373', 16)]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.06710088172946649"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prediction = rank_by_jaccard(train_graph, author)\n",
    "prediction = filter_existing_edges(prediction, train_graph, author)\n",
    "mrr(prediction, friends)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pair = set([author, '21771'])\n",
    "plot_subgraph(get_subgraph(train_graph, pair, n=30), pair)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "code_folding": [
     0
    ]
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<link href=\"https://fonts.googleapis.com/css?family=Droid+Sans+Mono\" rel=\"stylesheet\" type='text/css'>\n",
       "\n",
       "<link href=\"https://fonts.googleapis.com/css?family=Exo+2\" rel=\"stylesheet\" type='text/css'>\n",
       "\n",
       "<link href=\"https://fonts.googleapis.com/css?family=Lora\" rel=\"stylesheet\" type='text/css'>\n",
       "\n",
       "<link href=\"https://fonts.googleapis.com/css?family=Fira+Mono\" rel=\"stylesheet\" type='text/css'>\n",
       "\n",
       "<style>\n",
       "\n",
       "div#site {\n",
       "    height: 100% !important;\n",
       "}\n",
       "\n",
       "strong {\n",
       "  font-weight: 900 !important;\n",
       "}\n",
       "\n",
       ".container { width:90% !important; }\n",
       "\n",
       "\n",
       "div#notebook {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 20pt;\n",
       " line-height: 170%;\n",
       " color: #303030;\n",
       "}\n",
       "body,\n",
       "div.body {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 20pt;\n",
       " color: #303030;\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       "}\n",
       "body.notebook_app {\n",
       " padding: 0;\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       " padding-right: 0px !important;\n",
       " overflow-y: hidden;\n",
       "}\n",
       "a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " color: #303030;\n",
       "}\n",
       "a:hover,\n",
       "a:focus {\n",
       " color: #2f2f2f;\n",
       "}\n",
       ".list_header,\n",
       "div#notebook_list_header.row.list_header {\n",
       " font-size: 20pt;\n",
       " color: #2f2f2f;\n",
       " background-color: #ffffff;\n",
       "}\n",
       "div#cluster_list_header.row.list_header,\n",
       "div#running .row.list_header {\n",
       " font-size: 20pt;\n",
       " color: #303030;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-bottom: 2px solid rgba(180,180,180,.30);\n",
       "}\n",
       "div#cluster_list > div.list_item.row,\n",
       "div#cluster_list > div.list_item.row:hover {\n",
       " background: #fafafa;\n",
       " background-color: #fafafa;\n",
       "}\n",
       "div#clusters.tab-pane.active {\n",
       " font-size: 12.0pt;\n",
       " padding: 4px 0 4px 0;\n",
       "}\n",
       "#running .panel-group .panel .panel-heading {\n",
       " font-size: 14pt;\n",
       " color: #303030;\n",
       " padding: 8px 8px;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       "}\n",
       "#running .panel-group .panel .panel-heading a {\n",
       " font-size: 14pt;\n",
       " color: #303030;\n",
       "}\n",
       "#running .panel-group .panel .panel-heading a:focus,\n",
       "#running .panel-group .panel .panel-heading a:hover {\n",
       " font-size: 14pt;\n",
       " color: #303030;\n",
       "}\n",
       "#running .panel-group .panel .panel-body .list_container .list_item {\n",
       " background: #fafafa;\n",
       " background-color: #fafafa;\n",
       " padding: 2px;\n",
       " border-bottom: 2px solid rgba(180,180,180,.30);\n",
       "}\n",
       "#running .panel-group .panel .panel-body .list_container .list_item:hover {\n",
       " background: #fafafa;\n",
       " background-color: #fafafa;\n",
       "}\n",
       "#running .panel-group .panel .panel-body {\n",
       " padding: 2px;\n",
       "}\n",
       "div.running_list_info.toolbar_info {\n",
       " font-size: 12.0pt;\n",
       " padding: 4px 0 4px 0;\n",
       " height: inherit;\n",
       " line-height: inherit;\n",
       " text-shadow: none;\n",
       "}\n",
       ".list_placeholder {\n",
       " font-weight: normal;\n",
       "}\n",
       "#tree-selector {\n",
       " padding: 0px;\n",
       "}\n",
       "#project_name > ul > li > a > i.fa.fa-home {\n",
       " color: #ff7823;\n",
       " font-size: 17pt;\n",
       " display: inline-block;\n",
       " position: static;\n",
       " padding: 0px 0px;\n",
       " font-weight: normal;\n",
       " text-align: center;\n",
       " vertical-align: text-top;\n",
       "}\n",
       "#project_name {\n",
       " display: inline-flex;\n",
       " padding-left: 7px;\n",
       " margin-left: -2px;\n",
       " margin-bottom: -20px;\n",
       " text-align: -webkit-auto;\n",
       " vertical-align: text-top;\n",
       "}\n",
       "div#notebook_toolbar div.dynamic-instructions {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       "}\n",
       ".toolbar_info {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " color: #303030;\n",
       " text-shadow: none;\n",
       " border: none;\n",
       " height: inherit;\n",
       " line-height: inherit;\n",
       "}\n",
       ".list_container {\n",
       " font-size: 12.0pt;\n",
       " color: #303030;\n",
       " border: none;\n",
       " text-shadow: none !important;\n",
       "}\n",
       ".list_container > div {\n",
       " border-bottom: 1px solid rgba(180,180,180,.14);\n",
       " font-size: 12.0pt;\n",
       "}\n",
       ".list_header > div,\n",
       ".list_item > div {\n",
       " padding-left: 0px;\n",
       "}\n",
       ".list_header > div input,\n",
       ".list_item > div input {\n",
       " top: 0px;\n",
       "}\n",
       ".list_header > div .item_link,\n",
       ".list_item > div .item_link {\n",
       " margin-left: -1px;\n",
       " vertical-align: middle;\n",
       " line-height: 22px;\n",
       " font-size: 12.0pt;\n",
       "}\n",
       ".item_icon {\n",
       " font-size: 12.0pt;\n",
       " vertical-align: middle;\n",
       "}\n",
       ".list_item input:not([type=\"checkbox\"]) {\n",
       " padding-right: 0px;\n",
       " height: auto;\n",
       " width: 20%;\n",
       " margin: 6px 0 0;\n",
       " margin-top: 1px;\n",
       "}\n",
       "#button-select-all {\n",
       " height: auto;\n",
       " font-size: 12.0pt;\n",
       " padding: 5px;\n",
       " min-width: 65px;\n",
       " z-index: 0;\n",
       "}\n",
       "button#tree-selector-btn {\n",
       " height: auto;\n",
       " font-size: 12.0pt;\n",
       " padding: 5px;\n",
       "}\n",
       "input#select-all.pull-left.tree-selector {\n",
       " margin-left: 7px;\n",
       " margin-right: 2px;\n",
       " margin-top: 5px;\n",
       "}\n",
       "input[type=\"radio\"],\n",
       "input[type=\"checkbox\"] {\n",
       " margin: 6px 0 0;\n",
       " margin-top: 1px;\n",
       " line-height: normal;\n",
       "}\n",
       ".list_container a {\n",
       " font-size: 17px;\n",
       " color: #303030;\n",
       " border: none;\n",
       " text-shadow: none !important;\n",
       " font-weight: normal;\n",
       " font-style: normal;\n",
       "}\n",
       "div.list_container a:hover {\n",
       " color: #2f2f2f;\n",
       "}\n",
       "div.list_item:hover {\n",
       " background-color: #fafafa;\n",
       "}\n",
       ".breadcrumb > li {\n",
       " font-size: 12.0pt;\n",
       " color: #303030;\n",
       " border: none;\n",
       " text-shadow: none !important;\n",
       "}\n",
       "ul#tabs a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " font-weight: normal;\n",
       " font-style: normal;\n",
       " border-color: transparent;\n",
       " text-shadow: none !important;\n",
       "}\n",
       ".nav-tabs {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " font-weight: normal;\n",
       " font-style: normal;\n",
       " background: #ffffff;\n",
       " text-shadow: none !important;\n",
       " border-color: transparent;\n",
       " border-bottom-color: rgba(180,180,180,.30);\n",
       "}\n",
       ".nav-tabs > li > a:hover {\n",
       " color: #2f2f2f;\n",
       " background-color: rgba(180,180,180,.14);\n",
       "}\n",
       ".nav-tabs > li > a:active,\n",
       ".nav-tabs > li > a:focus,\n",
       ".nav-tabs > li.active > a,\n",
       ".nav-tabs > li.active > a:focus,\n",
       ".nav-tabs > li.active > a:hover,\n",
       ".nav-tabs > li.active > a,\n",
       ".nav-tabs > li.active > a:hover,\n",
       ".nav-tabs > li.active > a:focus {\n",
       " color: #1c1c1c;\n",
       " background-color: #eeeeee;\n",
       " border: 1px solid transparent;\n",
       " border-bottom-color: transparent;\n",
       " cursor: default;\n",
       "}\n",
       ".nav > li > a:hover,\n",
       ".nav > li > a:focus {\n",
       " text-decoration: none;\n",
       " background-color: rgba(180,180,180,.14);\n",
       "}\n",
       ".nav > li.disabled > a,\n",
       ".nav > li.disabled > a:hover {\n",
       " color: #aaaaaa;\n",
       "}\n",
       "div#notebook {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 20pt;\n",
       " padding-top: 4px;\n",
       "}\n",
       ".notebook_app {\n",
       " background-color: #ffffff;\n",
       "}\n",
       "#notebook-container {\n",
       " padding: 13px;\n",
       " background-color: #ffffff;\n",
       " min-height: 0px;\n",
       " box-shadow: none;\n",
       " width: 980px;\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       "}\n",
       "div#ipython-main-app.container {\n",
       " width: 980px;\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       "}\n",
       ".container {\n",
       " width: 980px;\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       "}\n",
       ".notebook_app #header {\n",
       " box-shadow: none !important;\n",
       " background-color: #ffffff;\n",
       " border-bottom: 2px solid rgba(180,180,180,.14);\n",
       "}\n",
       "#header {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 22pt;\n",
       " box-shadow: none;\n",
       " background-color: #ffffff;\n",
       "}\n",
       "#header .header-bar {\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       "}\n",
       "body > #header .header-bar {\n",
       " width: 100%;\n",
       " background: #ffffff;\n",
       "}\n",
       "#menubar {\n",
       " background-color: #ffffff;\n",
       "}\n",
       "#menubar .navbar,\n",
       ".navbar-default {\n",
       " background-color: #ffffff;\n",
       " margin-bottom: 0px;\n",
       " margin-top: 5px;\n",
       "}\n",
       ".navbar {\n",
       " border: none;\n",
       "}\n",
       "div.navbar-text,\n",
       ".navbar-text {\n",
       " margin-top: 6px !important;\n",
       " margin-bottom: 0px;\n",
       "}\n",
       ".navbar-default {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " background-color: #ffffff;\n",
       " border-color: rgba(180,180,180,.14);\n",
       " line-height: 1.5em;\n",
       " padding-bottom: 0px;\n",
       "}\n",
       ".navbar-default .navbar-nav > li > a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " color: #303030;\n",
       " display: block;\n",
       " line-height: 1.5em;\n",
       " padding-top: 9px;\n",
       " padding-bottom: 6px;\n",
       "}\n",
       ".navbar-default .navbar-nav > li > a:hover,\n",
       ".navbar-default .navbar-nav > li > a:focus {\n",
       " color: #2f2f2f;\n",
       " background-color: rgba(180,180,180,.14);\n",
       " border-color: rgba(180,180,180,.14);\n",
       " line-height: 1.5em;\n",
       "}\n",
       ".navbar-default .navbar-nav > .open > a,\n",
       ".navbar-default .navbar-nav > .open > a:hover,\n",
       ".navbar-default .navbar-nav > .open > a:focus {\n",
       " color: #1c1c1c;\n",
       " background-color: rgba(180,180,180,.14);\n",
       " border-color: rgba(180,180,180,.14);\n",
       " line-height: 1.5em;\n",
       "}\n",
       ".edit_mode .modal_indicator:before {\n",
       " font-size: 15pt;\n",
       " color: #2c85f7;\n",
       " content: \"\\f040\";\n",
       " padding-top: 5px;\n",
       " padding-bottom: 0px;\n",
       " vertical-align: bottom;\n",
       "}\n",
       ".command_mode .modal_indicator:before {\n",
       " font-size: 17pt;\n",
       " color: #2c85f7;\n",
       " content: \"\\f1f9\";\n",
       " padding-top: 5px;\n",
       " padding-bottom: 0px;\n",
       " vertical-align: bottom;\n",
       "}\n",
       ".item_icon {\n",
       " color: #126dce;\n",
       "}\n",
       ".item_buttons .kernel-name {\n",
       " font-size: 13pt;\n",
       " color: #126dce;\n",
       " line-height: 22px;\n",
       "}\n",
       ".running_notebook_icon:before {\n",
       " color: #009e07 !important;\n",
       "}\n",
       ".item_buttons .running-indicator {\n",
       " padding-top: 2px;\n",
       " color: #009e07;\n",
       "}\n",
       "#modal_indicator {\n",
       " float: right !important;\n",
       " color: #126dce;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       "}\n",
       "#kernel_indicator {\n",
       " float: right !important;\n",
       " color: #ff7823;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " font-size: 16pt;\n",
       " border-left: 2px solid #ff7823;\n",
       " padding-bottom: 2px;\n",
       "}\n",
       "#kernel_indicator .kernel_indicator_name {\n",
       " color: #ff7823;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " font-size: 16pt;\n",
       " padding-left: 5px;\n",
       " padding-right: 5px;\n",
       " margin-top: 10px;\n",
       " vertical-align: text-bottom;\n",
       " padding-bottom: 0px;\n",
       "}\n",
       "#kernel_indicator .kernel_indicator_name {\n",
       " color: #ff7823;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " font-size: 15.5pt;\n",
       " padding-left: 5px;\n",
       " padding-right: 5px;\n",
       " margin-top: 10px;\n",
       " vertical-align: text-bottom;\n",
       " padding-bottom: 0px;\n",
       "}\n",
       "div.notification_widget.info,\n",
       ".notification_widget.info,\n",
       ".notification_widget:active:hover,\n",
       ".notification_widget.active:hover,\n",
       ".open > .dropdown-toggle.notification_widget:hover,\n",
       ".notification_widget:active:focus,\n",
       ".notification_widget.active:focus,\n",
       ".open > .dropdown-toggle.notification_widget:focus,\n",
       ".notification_widget:active.focus,\n",
       ".notification_widget.active.focus,\n",
       ".open > .dropdown-toggle.notification_widget.focus,\n",
       "div#notification_notebook.notification_widget.btn.btn-xs.navbar-btn,\n",
       "div#notification_notebook.notification_widget.btn.btn-xs.navbar-btn:hover,\n",
       "div#notification_notebook.notification_widget.btn.btn-xs.navbar-btn:focus {\n",
       " color: #126dce;\n",
       " background-color: #ffffff;\n",
       " border-color: #ffffff;\n",
       "}\n",
       "#notification_area,\n",
       "div.notification_area {\n",
       " float: right !important;\n",
       " position: static;\n",
       "}\n",
       "#kernel_logo_widget,\n",
       "#kernel_logo_widget .current_kernel_logo {\n",
       " display: none;\n",
       "}\n",
       "div#ipython_notebook {\n",
       " display: none;\n",
       "}\n",
       "i.fa.fa-icon {\n",
       " -webkit-font-smoothing: antialiased;\n",
       " -moz-osx-font-smoothing: grayscale;\n",
       " text-rendering: auto;\n",
       "}\n",
       ".fa {\n",
       " display: inline-block;\n",
       " font: normal normal normal 12pt/1 \"FontAwesome\", \"Exo_2\", sans-serif;\n",
       " text-rendering: auto;\n",
       " -webkit-font-smoothing: antialiased;\n",
       " -moz-osx-font-smoothing: grayscale;\n",
       "}\n",
       ".dropdown-menu {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " box-shadow: none;\n",
       " padding: 0px;\n",
       " text-align: left;\n",
       " border: 2px solid rgba(180,180,180,.30);\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       " line-height: 1.3;\n",
       " margin: 0px;\n",
       "}\n",
       ".dropdown-menu:hover {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " border: 2px solid rgba(180,180,180,.30);\n",
       " background-color: #ffffff;\n",
       " box-shadow: none;\n",
       " line-height: 1.3;\n",
       "}\n",
       ".dropdown-header {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " display: block;\n",
       " color: #ff7823;\n",
       " text-decoration: underline;\n",
       " white-space: nowrap;\n",
       " padding: 8px 0px 0px 6px;\n",
       " line-height: 1.3;\n",
       "}\n",
       ".dropdown-menu > li > a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " line-height: 1.3;\n",
       " display: block;\n",
       " padding: 10px 25px 10px 14px;\n",
       " color: #303030;\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       "}\n",
       ".dropdown-menu > li > a:hover {\n",
       " color: #2f2f2f;\n",
       " background-color: rgba(180,180,180,.14);\n",
       " background: rgba(180,180,180,.14);\n",
       " border-color: rgba(180,180,180,.14);\n",
       "}\n",
       ".dropdown-menu .divider {\n",
       " height: 2px;\n",
       " margin: 0px 0px;\n",
       " overflow: hidden;\n",
       " background-color: rgba(180,180,180,.30);\n",
       "}\n",
       ".dropdown-submenu > .dropdown-menu {\n",
       " top: 0;\n",
       " left: 100%;\n",
       " margin-top: -2px;\n",
       " margin-left: 0px;\n",
       " padding-top: 0px;\n",
       "}\n",
       ".dropdown-menu > .disabled > a,\n",
       ".dropdown-menu > .disabled > a:hover,\n",
       ".dropdown-menu > .disabled > a:focus {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " font-weight: normal;\n",
       " color: #aaaaaa;\n",
       " padding: none;\n",
       " display: block;\n",
       " clear: both;\n",
       " line-height: 1.2;\n",
       " white-space: nowrap;\n",
       "}\n",
       ".dropdown-submenu > a:after {\n",
       " color: #303030;\n",
       " margin-right: -16px;\n",
       "}\n",
       ".dropdown-submenu:hover > a:after,\n",
       ".dropdown-submenu:active > a:after,\n",
       ".dropdown-submenu:focus > a:after,\n",
       ".dropdown-submenu:visited > a:after {\n",
       " color: #ff7823;\n",
       " margin-right: -16px;\n",
       "}\n",
       "div.kse-dropdown > .dropdown-menu,\n",
       ".kse-dropdown > .dropdown-menu {\n",
       " min-width: 0;\n",
       " top: 94%;\n",
       "}\n",
       ".btn,\n",
       ".btn-default {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " color: #303030;\n",
       " background: #ebebeb;\n",
       " background-color: #ebebeb;\n",
       " border: 2px solid #e8e8e8;\n",
       " font-weight: normal;\n",
       " box-shadow: none;\n",
       " text-shadow: none;\n",
       " border-radius: 2px;\n",
       " font-size: inherit;\n",
       "}\n",
       ".btn:hover,\n",
       ".btn:active:hover,\n",
       ".btn.active:hover,\n",
       ".btn-default:hover,\n",
       ".open > .dropdown-toggle.btn-default:hover,\n",
       ".open > .dropdown-toggle.btn:hover {\n",
       " color: #2f2f2f;\n",
       " background-color: #e4e4e4;\n",
       " background: #e4e4e4;\n",
       " border-color: #e4e4e4;\n",
       " background-image: none;\n",
       " box-shadow: none !important;\n",
       " border-radius: 2px;\n",
       "}\n",
       ".btn:active,\n",
       ".btn.active,\n",
       ".btn:active:focus,\n",
       ".btn.active:focus,\n",
       ".btn:active.focus,\n",
       ".btn.active.focus,\n",
       ".btn-default:focus,\n",
       ".btn-default.focus,\n",
       ".btn-default:active,\n",
       ".btn-default.active,\n",
       ".btn-default:active:hover,\n",
       ".btn-default.active:hover,\n",
       ".btn-default:active:focus,\n",
       ".btn-default.active:focus,\n",
       ".btn-default:active.focus,\n",
       ".btn-default.active.focus,\n",
       ".open > .dropdown-toggle.btn:focus,\n",
       ".open > .dropdown-toggle.btn.focus,\n",
       ".open > .dropdown-toggle.btn-default {\n",
       " color: #1c1c1c;\n",
       " background-color: #e4e4e4;\n",
       " background: #e4e4e4;\n",
       " border-color: #e4e4e4;\n",
       " background-image: none;\n",
       " box-shadow: none !important;\n",
       " border-radius: 1px;\n",
       "}\n",
       ".item_buttons > .btn,\n",
       ".item_buttons > .btn-group,\n",
       ".item_buttons > .input-group {\n",
       " margin-left: 5px;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: 1px solid #eeeeee;\n",
       "}\n",
       ".item_buttons > .btn:hover,\n",
       ".item_buttons > .btn-group:hover,\n",
       ".item_buttons > .input-group:hover {\n",
       " margin-left: 5px;\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border: 1px solid #e9e9e9;\n",
       "}\n",
       ".btn-group > .btn-mini,\n",
       ".btn-sm,\n",
       ".btn-group-sm > .btn,\n",
       ".btn-xs,\n",
       ".btn-group-xs > .btn,\n",
       ".alternate_upload .btn-upload,\n",
       ".btn-group,\n",
       ".btn-group-vertical {\n",
       " font-size: 12.0pt;\n",
       " font-weight: normal;\n",
       "}\n",
       ".btn-xs,\n",
       ".btn-group-xs > .btn {\n",
       " font-size: 12.0pt;\n",
       " background-image: none;\n",
       " font-weight: normal;\n",
       " text-shadow: none;\n",
       " display: inline-table;\n",
       "}\n",
       ".btn-group > .btn:first-child {\n",
       " margin-left: 3px;\n",
       "}\n",
       ".alternate_upload .btn-upload {\n",
       " display: none;\n",
       "}\n",
       "button.close {\n",
       " border: 0px none;\n",
       " font-family: sans-serif;\n",
       " font-size: 25pt;\n",
       "}\n",
       ".dynamic-buttons {\n",
       " font-size: inherit;\n",
       " padding-top: 0px;\n",
       " display: inline-block;\n",
       "}\n",
       ".close {\n",
       " color: #de143d;\n",
       " opacity: .5;\n",
       " text-shadow: none;\n",
       "}\n",
       ".close:hover {\n",
       " color: #de143d;\n",
       " opacity: 1;\n",
       "}\n",
       "div.btn.btn-default.output_collapsed {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-color: #eeeeee;\n",
       "}\n",
       "div.btn.btn-default.output_collapsed:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border-color: #e9e9e9;\n",
       "}\n",
       "div.nbext-enable-btns .btn[disabled],\n",
       "div.nbext-enable-btns .btn[disabled]:hover,\n",
       ".btn-default.disabled,\n",
       ".btn-default[disabled],\n",
       ".btn-default.disabled:hover,\n",
       ".btn-default[disabled]:hover,\n",
       "fieldset[disabled] .btn-default:hover,\n",
       ".btn-default.disabled:focus,\n",
       ".btn-default[disabled]:focus,\n",
       "fieldset[disabled] .btn-default:focus,\n",
       ".btn-default.disabled.focus,\n",
       ".btn-default[disabled].focus,\n",
       "fieldset[disabled] .btn-default.focus {\n",
       " color: #4a4a4a;\n",
       " background: #e8e8e8;\n",
       " background-color: #e8e8e8;\n",
       " border-color: #e8e8e8;\n",
       "}\n",
       ".input-group-addon {\n",
       " padding: 2px 5px;\n",
       " font-size: 12.0pt;\n",
       " font-weight: normal;\n",
       " height: auto;\n",
       " color: #303030;\n",
       " text-align: center;\n",
       " background-color: #ffffff;\n",
       " border: none;\n",
       "}\n",
       ".btn-group > .btn + .dropdown-toggle {\n",
       " padding-left: 8px;\n",
       " padding-right: 8px;\n",
       " height: 100%;\n",
       " border-left: 2px solid #ff7823 !important;\n",
       "}\n",
       ".btn-group > .btn + .dropdown-toggle:hover {\n",
       " border-left: 2px solid #ff7823 !important;\n",
       "}\n",
       ".input-group-btn {\n",
       " position: relative;\n",
       " font-size: inherit;\n",
       " white-space: nowrap;\n",
       "}\n",
       ".input-group-btn:first-child > .btn,\n",
       ".input-group-btn:first-child > .btn-group {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: 1px solid #ebebeb;\n",
       " margin: 2px;\n",
       " font-size: inherit;\n",
       "}\n",
       ".input-group-btn:first-child > .btn:hover,\n",
       ".input-group-btn:first-child > .btn-group:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border: 1px solid #e9e9e9;\n",
       " margin: 2px;\n",
       " font-size: inherit;\n",
       "}\n",
       "div.modal .btn-group > .btn:first-child {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: 1px solid #ebebeb;\n",
       " margin-top: 0px !important;\n",
       " margin-left: 0px;\n",
       " margin-bottom: 2px;\n",
       "}\n",
       "div.modal .btn-group > .btn:first-child:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border: 1px solid #e9e9e9;\n",
       "}\n",
       "div.modal > button,\n",
       "div.modal-footer > button {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-color: #eeeeee;\n",
       "}\n",
       "div.modal > button:hover,\n",
       "div.modal-footer > button:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border-color: #e9e9e9;\n",
       "}\n",
       ".modal-content {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " position: relative;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: none;\n",
       " border-radius: 1px;\n",
       " background-clip: padding-box;\n",
       " outline: none;\n",
       "}\n",
       ".modal-header {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " color: #303030;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-color: rgba(180,180,180,.30);\n",
       " padding: 12px;\n",
       " min-height: 16.4286px;\n",
       "}\n",
       ".modal-content h4 {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 16pt;\n",
       " color: #303030;\n",
       " padding: 5px;\n",
       "}\n",
       ".modal-body {\n",
       " background-color: #ffffff;\n",
       " position: relative;\n",
       " padding: 15px;\n",
       "}\n",
       ".modal-footer {\n",
       " padding: 10px;\n",
       " text-align: right;\n",
       " background-color: #fafafa;\n",
       " border-top: 1px solid rgba(180,180,180,.30);\n",
       "}\n",
       ".alert-info {\n",
       " background-color: #fdfdfd;\n",
       " border-color: rgba(180,180,180,.30);\n",
       " color: #303030;\n",
       "}\n",
       ".modal-header .close {\n",
       " margin-top: -5px;\n",
       " font-size: 25pt;\n",
       "}\n",
       ".modal-backdrop,\n",
       ".modal-backdrop.in {\n",
       " opacity: 0.85;\n",
       " background-color: #d6d6d6;\n",
       "}\n",
       "div.panel,\n",
       "div.panel-default,\n",
       ".panel,\n",
       ".panel-default {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " background-color: #fafafa;\n",
       " color: #303030;\n",
       " margin-bottom: 14px;\n",
       " border: 0;\n",
       " box-shadow: none;\n",
       "}\n",
       "div.panel > .panel-heading,\n",
       "div.panel-default > .panel-heading {\n",
       " font-size: 14pt;\n",
       " color: #303030;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: 0;\n",
       "}\n",
       ".modal .modal-dialog {\n",
       " min-width: 950px;\n",
       " margin: 50px auto;\n",
       "}\n",
       "div.container-fluid {\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       " padding-left: 7px;\n",
       " padding-right: 12px;\n",
       "}\n",
       "div.form-control,\n",
       ".form-control {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: inherit;\n",
       " color: #303030;\n",
       " background-color: #ffffff;\n",
       " border: 2px solid #e7e7e7;\n",
       " margin-left: 2px;\n",
       " height: auto;\n",
       " box-shadow: none;\n",
       " padding: 6px 12px;\n",
       " transition: border-color 0.15s ease-in-out 0s, box-shadow 0.15s ease-in-out 0s;\n",
       "}\n",
       ".form-group.list-group-item {\n",
       " color: #303030;\n",
       " background-color: #fafafa;\n",
       " border-color: rgba(180,180,180,.30);\n",
       " margin-bottom: 0px;\n",
       "}\n",
       "input,\n",
       "button,\n",
       "select,\n",
       "textarea {\n",
       " background-color: #ffffff;\n",
       " font-weight: normal;\n",
       " border: 1px solid rgba(180,180,180,.30);\n",
       "}\n",
       "select.form-control.select-xs {\n",
       " height: auto;\n",
       "}\n",
       "div.output.output_scroll {\n",
       " box-shadow: none;\n",
       "}\n",
       "::-webkit-scrollbar-track {\n",
       " -webkit-box-shadow: inset 0 0 6px rgba(0,0,0,0.11);\n",
       " background-color: #d0d0d0;\n",
       " border-radius: 6px;\n",
       "}\n",
       "::-webkit-scrollbar {\n",
       " width: 14px;\n",
       " height: 20px;\n",
       " background-color: #d0d0d0;\n",
       " border-radius: 6px;\n",
       "}\n",
       "::-webkit-scrollbar-thumb {\n",
       " background-color: #ffffff;\n",
       " background-image: -webkit-gradient(linear,40% 0%,75% 86%,from(#ff6b0f ),color-stop(0.5,#ff8b42 ),to(#ff6b0f ));\n",
       " min-height: 100px;\n",
       " border-radius: 2px;\n",
       "}\n",
       "div.input_area {\n",
       " background-color: #efefef;\n",
       " padding-right: 1.2em;\n",
       " border: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-top-right-radius: 2px;\n",
       " border-bottom-left-radius: 0px;\n",
       " border-bottom-right-radius: 0px;\n",
       "}\n",
       "div.cell {\n",
       " padding: 0px;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       " border: medium solid #ffffff;\n",
       " border-top-right-radius: 2px;\n",
       " border-top-left-radius: 2px;\n",
       "}\n",
       "div.cell.selected {\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       " border: medium solid #ff7823;\n",
       " padding: 0px;\n",
       " border-top-right-radius: 2px;\n",
       " border-top-left-radius: 2px;\n",
       "}\n",
       ".edit_mode div.cell.selected {\n",
       " padding: 0px;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       " border: medium solid #ffd5bb;\n",
       " border-top-right-radius: 2px;\n",
       " border-top-left-radius: 2px;\n",
       "}\n",
       "div.cell.edit_mode {\n",
       " padding: 0px;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       " border: medium solid #ffd5bb;\n",
       " border-top-right-radius: 2px;\n",
       " border-top-left-radius: 2px;\n",
       "}\n",
       "div.prompt,\n",
       ".prompt {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 9.5pt;\n",
       " font-weight: normal;\n",
       " color: #aaaaaa;\n",
       " line-height: 170%;\n",
       " padding: 0px;\n",
       " padding-top: 4px;\n",
       " padding-left: .25em;\n",
       " text-align: left !important;\n",
       " min-width: 12ex;\n",
       " width: 12ex;\n",
       "}\n",
       "div.prompt.input_prompt {\n",
       " background-color: #efefef;\n",
       " border-right: 2px solid rgba(240,147,43,.50);\n",
       " border-top-left-radius: 2px;\n",
       " border-top-right-radius: 0px;\n",
       " border-bottom-left-radius: 0px;\n",
       " border-bottom-right-radius: 0px;\n",
       " min-width: 12ex;\n",
       " width: 12ex !important;\n",
       "}\n",
       "div.output_wrapper {\n",
       " background-color: #ffffff;\n",
       " border: 0px;\n",
       " margin-bottom: 0em;\n",
       " margin-top: 0em;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-bottom-left-radius: 2px;\n",
       " border-bottom-right-radius: 2px;\n",
       "}\n",
       "div.output_subarea.output_text.output_stream.output_stdout,\n",
       "div.output_subarea.output_text {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 10.0pt;\n",
       " line-height: 150% !important;\n",
       " background-color: #ffffff;\n",
       " color: #303030;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-bottom-left-radius: 2px;\n",
       " border-bottom-right-radius: 2px;\n",
       "}\n",
       "div.output_area pre {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 10.0pt;\n",
       " line-height: 150% !important;\n",
       " color: #303030;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-bottom-left-radius: 2px;\n",
       " border-bottom-right-radius: 2px;\n",
       "}\n",
       "div.output_area {\n",
       " display: -webkit-box;\n",
       "}\n",
       "div.output_html {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 10.0pt;\n",
       " color: #353535;\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       "}\n",
       "div.output_subarea {\n",
       " overflow-x: auto;\n",
       " padding: .8em;\n",
       " -webkit-box-flex: 1;\n",
       " -moz-box-flex: 1;\n",
       " box-flex: 1;\n",
       " flex: 1;\n",
       " max-width: 90%;\n",
       "}\n",
       "div.prompt.output_prompt {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 9.5pt;\n",
       " background-color: #ffffff;\n",
       " color: #ffffff;\n",
       " border-bottom-left-radius: 2px;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-bottom-right-radius: 0px;\n",
       " min-width: 12ex;\n",
       " width: 12ex;\n",
       "}\n",
       "div.out_prompt_overlay.prompt {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 9.5pt;\n",
       " background-color: #ffffff;\n",
       " border-bottom-left-radius: 2px;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " border-bottom-right-radius: 0px;\n",
       " min-width: 12ex;\n",
       " width: 12ex;\n",
       "}\n",
       "div.out_prompt_overlay.prompt:hover {\n",
       " background-color: #ffffff;\n",
       " box-shadow: #e8e8e8 2px 1px 2px 2.5px inset;\n",
       " border-bottom-left-radius: 2px;\n",
       " -webkit-border-: 2px;\n",
       " -moz-border-radius: 2px;\n",
       " border-top-right-radius: 0px;\n",
       " border-top-left-radius: 0px;\n",
       " min-width: 12ex;\n",
       " width: 12ex !important;\n",
       "}\n",
       "div.text_cell,\n",
       "div.text_cell_render pre,\n",
       "div.text_cell_render {\n",
       " font-family: \"Lora\", serif;\n",
       " font-size: 20pt;\n",
       " line-height: 170% !important;\n",
       " color: #353535;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border-radius: 2px;\n",
       " min-height: 500px;\n",
       "}\n",
       "div.cell.text_cell.rendered.selected {\n",
       " font-family: \"Lora\", serif;\n",
       " border: medium solid #126dce;\n",
       " line-height: 170% !important;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border-radius: 2px;\n",
       " \n",
       "}\n",
       "div.cell.text_cell.unrendered.selected {\n",
       " font-family: \"Lora\", serif;\n",
       " line-height: 170% !important;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border: medium solid #126dce;\n",
       " border-radius: 2px;\n",
       "}\n",
       "div.cell.text_cell.selected {\n",
       " font-family: \"Lora\", serif;\n",
       " line-height: 170% !important;\n",
       " border: medium solid #126dce;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border-radius: 2px;\n",
       "}\n",
       ".edit_mode div.cell.text_cell.selected {\n",
       " font-family: \"Lora\", serif;\n",
       " line-height: 170% !important;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border: medium solid #87b0db;\n",
       " border-radius: 2px;\n",
       "}\n",
       "div.text_cell.unrendered,\n",
       "div.text_cell.unrendered.selected,\n",
       "div.edit_mode div.text_cell.unrendered {\n",
       " font-family: \"Lora\", serif;\n",
       " line-height: 170% !important;\n",
       " background: #ffffff;\n",
       " background-color: #ffffff;\n",
       " border-radius: 2px;\n",
       "}\n",
       "div.cell.text_cell.rendered .input_prompt {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 9.5pt;\n",
       " font-weight: normal;\n",
       " color: #aaaaaa;\n",
       " text-align: left !important;\n",
       " min-width: 0ex;\n",
       " width: 0ex !important;\n",
       " background-color: #ffffff;\n",
       " border-right: 2px solid transparent;\n",
       "}\n",
       "div.cell.text_cell.unrendered .input_prompt {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 9.5pt;\n",
       " font-weight: normal;\n",
       " color: #aaaaaa;\n",
       " text-align: left !important;\n",
       " min-width: 0ex;\n",
       " width: 0ex !important;\n",
       " border-right: 2px solid transparent;\n",
       "}\n",
       "div.rendered_html code {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " padding-top: 3px;\n",
       " color: #303030;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       "}\n",
       "pre,\n",
       "code,\n",
       "kbd,\n",
       "samp {\n",
       " white-space: pre-wrap;\n",
       "}\n",
       "code {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt !important;\n",
       " line-height: 170% !important;\n",
       " color: #353535;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       "}\n",
       "kbd {\n",
       " padding: 4px;\n",
       " font-size: 11pt;\n",
       " color: #303030;\n",
       " background-color: #efefef;\n",
       " border: 0;\n",
       " box-shadow: none;\n",
       "}\n",
       "pre {\n",
       " display: block;\n",
       " padding: 8.5px;\n",
       " margin: 0 0 9px;\n",
       " font-size: 12.0pt;\n",
       " line-height: 1.42857143;\n",
       " color: #303030;\n",
       " background-color: #efefef;\n",
       " border: 1px solid #e7e7e7;\n",
       " border-radius: 2px;\n",
       "}\n",
       "div.rendered_html {\n",
       " color: #353535;\n",
       "}\n",
       "div.rendered_html pre,\n",
       "div.text_cell_render pre {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt !important;\n",
       " line-height: 170% !important;\n",
       " color: #353535;\n",
       " background: #efefef;\n",
       " background-color: #efefef;\n",
       " border: 2px #e7e7e7 solid;\n",
       " max-width: 86%;\n",
       " border-radius: 2px;\n",
       " padding: 5px;\n",
       " min-height: 1px;\n",
       "}\n",
       "div.text_cell_render h1,\n",
       "div.rendered_html h1,\n",
       "div.text_cell_render h2,\n",
       "div.rendered_html h2,\n",
       "div.text_cell_render h3,\n",
       "div.rendered_html h3,\n",
       "div.text_cell_render h4,\n",
       "div.rendered_html h4,\n",
       "div.text_cell_render h5,\n",
       "div.rendered_html h5 {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       "}\n",
       ".rendered_html h1:first-child,\n",
       ".rendered_html h2:first-child,\n",
       ".rendered_html h3:first-child,\n",
       ".rendered_html h4:first-child,\n",
       ".rendered_html h5:first-child,\n",
       ".rendered_html h6:first-child {\n",
       " margin-top: 0.2em;\n",
       "}\n",
       ".rendered_html h1,\n",
       ".text_cell_render h1 {\n",
       " color: #126dce;\n",
       " font-size: 220%;\n",
       " text-align: center;\n",
       " font-weight: lighter;\n",
       "}\n",
       ".rendered_html h2,\n",
       ".text_cell_render h2 {\n",
       " text-align: left;\n",
       " font-size: 170%;\n",
       " color: #126dce;\n",
       " font-style: normal;\n",
       " font-weight: lighter;\n",
       "}\n",
       ".rendered_html h3,\n",
       ".text_cell_render h3 {\n",
       " font-size: 150%;\n",
       " color: #126dce;\n",
       " font-weight: lighter;\n",
       " text-decoration: italic;\n",
       " font-style: normal;\n",
       "}\n",
       ".rendered_html h4,\n",
       ".text_cell_render h4 {\n",
       " font-size: 120%;\n",
       " color: #126dce;\n",
       " font-weight: underline;\n",
       " font-style: normal;\n",
       "}\n",
       ".rendered_html h5,\n",
       ".text_cell_render h5 {\n",
       " font-size: 100%;\n",
       " color: #2f2f2f;\n",
       " font-weight: lighter;\n",
       " text-decoration: underline;\n",
       "}\n",
       ".rendered_html table,\n",
       ".rendered_html tr,\n",
       ".rendered_html td {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 10.0pt !important;\n",
       " line-height: 150% !important;\n",
       " border: 1px solid #d6d6d6;\n",
       " color: #353535;\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       "}\n",
       "table.dataframe,\n",
       ".rendered_html tr,\n",
       ".dataframe * {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 10.0pt !important;\n",
       " border: 1px solid #d6d6d6;\n",
       "}\n",
       ".dataframe th,\n",
       ".rendered_html th {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 11pt !important;\n",
       " font-weight: bold;\n",
       " border: 1px solid #c4c4c4;\n",
       " background: #eeeeee;\n",
       "}\n",
       ".dataframe td,\n",
       ".rendered_html td {\n",
       " font-family: \"Fira Mono\", monospace;\n",
       " font-size: 10.0pt !important;\n",
       " color: #353535;\n",
       " background: #ffffff;\n",
       " border: 1px solid #d6d6d6;\n",
       " text-align: left;\n",
       " min-width: 4em;\n",
       "}\n",
       ".dataframe-summary-row tr:last-child,\n",
       ".dataframe-summary-col td:last-child {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 11pt !important;\n",
       " font-weight: bold;\n",
       " color: #353535;\n",
       " border: 1px solid #d6d6d6;\n",
       " background: #eeeeee;\n",
       "}\n",
       "div.widget-area {\n",
       " background-color: #ffffff;\n",
       " background: #ffffff;\n",
       " color: #303030;\n",
       "}\n",
       "div.widget-area a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " font-weight: normal;\n",
       " font-style: normal;\n",
       " color: #303030;\n",
       " text-shadow: none !important;\n",
       "}\n",
       "div.widget-area a:hover,\n",
       "div.widget-area a:focus {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12.0pt;\n",
       " font-weight: normal;\n",
       " font-style: normal;\n",
       " color: #2f2f2f;\n",
       " background: rgba(180,180,180,.14);\n",
       " background-color: rgba(180,180,180,.14);\n",
       " border-color: transparent;\n",
       " background-image: none;\n",
       " text-shadow: none !important;\n",
       "}\n",
       "div.widget_item.btn-group > button.btn.btn-default.widget-combo-btn,\n",
       "div.widget_item.btn-group > button.btn.btn-default.widget-combo-btn:hover {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border: 2px solid #eeeeee !important;\n",
       " font-size: inherit;\n",
       " z-index: 0;\n",
       "}\n",
       "div.jupyter-widgets.widget-hprogress.widget-hbox,\n",
       "div.widget-hbox,\n",
       ".widget-hbox {\n",
       " display: inline-table;\n",
       "}\n",
       "div.jupyter-widgets.widget-hprogress.widget-hbox .widget-label,\n",
       "div.widget-hbox .widget-label,\n",
       ".widget-hbox .widget-label {\n",
       " font-size: 11pt;\n",
       " min-width: 100%;\n",
       " padding-top: 5px;\n",
       " padding-right: 10px;\n",
       " text-align: left;\n",
       " vertical-align: text-top;\n",
       "}\n",
       ".progress {\n",
       " overflow: hidden;\n",
       " height: 20px;\n",
       " margin-bottom: 10px;\n",
       " padding-left: 10px;\n",
       " background-color: #c6c6c6;\n",
       " border-radius: 4px;\n",
       " -webkit-box-shadow: none;\n",
       " box-shadow: none;\n",
       "}\n",
       ".rendered_html :link {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 100%;\n",
       " color: #2c85f7;\n",
       " text-decoration: underline;\n",
       "}\n",
       ".rendered_html :visited,\n",
       ".rendered_html :visited:active,\n",
       ".rendered_html :visited:focus {\n",
       " color: #2e6eb2;\n",
       "}\n",
       ".rendered_html :visited:hover,\n",
       ".rendered_html :link:hover {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 100%;\n",
       " color: #eb6a18;\n",
       "}\n",
       "a.anchor-link:link:hover {\n",
       " font-size: inherit;\n",
       " color: #eb6a18;\n",
       "}\n",
       "a.anchor-link:link {\n",
       " font-size: inherit;\n",
       " text-decoration: none;\n",
       " padding: 0px 20px;\n",
       " visibility: none;\n",
       " color: #126dce;\n",
       "}\n",
       ".navbar-text {\n",
       " margin-top: 4px;\n",
       " margin-bottom: 0px;\n",
       "}\n",
       "div#nbextensions-configurator-container.container,\n",
       "#nbextensions-configurator-container.container {\n",
       " width: 100%;\n",
       " margin-right: auto;\n",
       " margin-left: auto;\n",
       "}\n",
       "div.nbext-selector > nav > .nav > li > a {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12pt;\n",
       "}\n",
       "div.nbext-readme > .nbext-readme-contents > .rendered_html {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 12pt;\n",
       " line-height: 145%;\n",
       " padding: 1em 1em;\n",
       " color: #353535;\n",
       " background-color: #ffffff;\n",
       " -webkit-box-shadow: none;\n",
       " -moz-box-shadow: none;\n",
       " box-shadow: none;\n",
       "}\n",
       ".nbext-icon,\n",
       ".nbext-desc,\n",
       ".nbext-compat-div,\n",
       ".nbext-enable-btns,\n",
       ".nbext-params {\n",
       " margin-bottom: 8px;\n",
       " font-size: 12pt;\n",
       "}\n",
       "div.nbext-readme > .nbext-readme-contents {\n",
       " padding: 0;\n",
       " overflow-y: hidden;\n",
       "}\n",
       "div.nbext-readme > .nbext-readme-contents:not(:empty) {\n",
       " margin-top: 0.5em;\n",
       " margin-bottom: 2em;\n",
       " border: none;\n",
       " border-top-color: rgba(180,180,180,.30);\n",
       "}\n",
       ".nbext-showhide-incompat {\n",
       " padding-bottom: 0.5em;\n",
       " color: #4a4a4a;\n",
       " font-size: 12.0pt;\n",
       "}\n",
       ".shortcut_key,\n",
       "span.shortcut_key {\n",
       " display: inline-block;\n",
       " width: 16ex;\n",
       " text-align: right;\n",
       " font-family: monospace;\n",
       "}\n",
       "mark,\n",
       ".mark {\n",
       " background-color: #ffffff;\n",
       " color: #353535;\n",
       " padding: .15em;\n",
       "}\n",
       "a.text-warning,\n",
       "a.text-warning:hover {\n",
       " color: #aaaaaa;\n",
       "}\n",
       "a.text-warning.bg-warning {\n",
       " background-color: #ffffff;\n",
       "}\n",
       "span.bg-success.text-success {\n",
       " background-color: transparent;\n",
       " color: #009e07;\n",
       "}\n",
       "span.bg-danger.text-danger {\n",
       " background-color: #ffffff;\n",
       " color: #de143d;\n",
       "}\n",
       ".has-success .input-group-addon {\n",
       " color: #009e07;\n",
       " border-color: transparent;\n",
       " background: inherit;\n",
       " background-color: rgba(83,180,115,.10);\n",
       "}\n",
       ".has-success .form-control {\n",
       " border-color: #009e07;\n",
       " -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,0.025);\n",
       " box-shadow: inset 0 1px 1px rgba(0,0,0,0.025);\n",
       "}\n",
       ".has-error .input-group-addon {\n",
       " color: #de143d;\n",
       " border-color: transparent;\n",
       " background: inherit;\n",
       " background-color: rgba(192,57,67,.10);\n",
       "}\n",
       ".has-error .form-control {\n",
       " border-color: #de143d;\n",
       " -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,0.025);\n",
       " box-shadow: inset 0 1px 1px rgba(0,0,0,0.025);\n",
       "}\n",
       ".kse-input-group-pretty > kbd {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " color: #303030;\n",
       " font-weight: normal;\n",
       " background: transparent;\n",
       "}\n",
       ".kse-input-group-pretty > kbd {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " color: #303030;\n",
       " font-weight: normal;\n",
       " background: transparent;\n",
       "}\n",
       "div.nbext-enable-btns .btn[disabled],\n",
       "div.nbext-enable-btns .btn[disabled]:hover,\n",
       ".btn-default.disabled,\n",
       ".btn-default[disabled] {\n",
       " background: #e8e8e8;\n",
       " background-color: #e8e8e8;\n",
       " color: #282828;\n",
       "}\n",
       "label#Keyword-Filter {\n",
       " display: none;\n",
       "}\n",
       ".nav-pills > li.active > a,\n",
       ".nav-pills > li.active > a:hover,\n",
       ".nav-pills > li.active > a:focus {\n",
       " color: #ffffff;\n",
       " background-color: #126dce;\n",
       "}\n",
       ".input-group .nbext-list-btn-add,\n",
       ".input-group-btn:last-child > .btn-group > .btn {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-color: #eeeeee;\n",
       "}\n",
       ".input-group .nbext-list-btn-add:hover,\n",
       ".input-group-btn:last-child > .btn-group > .btn:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border-color: #e9e9e9;\n",
       "}\n",
       "#notebook-container > div.cell.code_cell.rendered.selected > div.widget-area > div.widget-subarea > div > div.widget_item.btn-group > button.btn.btn-default.dropdown-toggle.widget-combo-carrot-btn {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-color: #eeeeee;\n",
       "}\n",
       "#notebook-container > div.cell.code_cell.rendered.selected > div.widget-area > div.widget-subarea > div > div.widget_item.btn-group > button.btn.btn-default.dropdown-toggle.widget-combo-carrot-btn:hover {\n",
       " background: #e9e9e9;\n",
       " background-color: #e9e9e9;\n",
       " border-color: #e9e9e9;\n",
       "}\n",
       "input.raw_input {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt !important;\n",
       " color: #303030;\n",
       " background-color: #efefef;\n",
       " border-color: #ececec;\n",
       " background: #ececec;\n",
       " width: auto;\n",
       " vertical-align: baseline;\n",
       " padding: 0em 0.25em;\n",
       " margin: 0em 0.25em;\n",
       " -webkit-box-shadow: none;\n",
       " box-shadow: none;\n",
       "}\n",
       "audio,\n",
       "video {\n",
       " display: inline;\n",
       " vertical-align: middle;\n",
       " align-content: center;\n",
       " margin-left: 20%;\n",
       "}\n",
       ".cmd-palette .modal-body {\n",
       " padding: 0px;\n",
       " margin: 0px;\n",
       "}\n",
       ".cmd-palette form {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       "}\n",
       ".typeahead-field input:last-child,\n",
       ".typeahead-hint {\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " z-index: 1;\n",
       "}\n",
       ".typeahead-field input {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " color: #303030;\n",
       " border: none;\n",
       " font-size: 28pt;\n",
       " display: inline-block;\n",
       " line-height: inherit;\n",
       " padding: 3px 10px;\n",
       " height: 70px;\n",
       "}\n",
       ".typeahead-select {\n",
       " background-color: #eeeeee;\n",
       "}\n",
       "body > div.modal.cmd-palette.typeahead-field {\n",
       " display: table;\n",
       " border-collapse: separate;\n",
       " background-color: #fafafa;\n",
       "}\n",
       ".typeahead-container button {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 28pt;\n",
       " background-color: #d0d0d0;\n",
       " border: none;\n",
       " display: inline-block;\n",
       " line-height: inherit;\n",
       " padding: 3px 10px;\n",
       " height: 70px;\n",
       "}\n",
       ".typeahead-search-icon {\n",
       " min-width: 40px;\n",
       " min-height: 55px;\n",
       " display: block;\n",
       " vertical-align: middle;\n",
       " text-align: center;\n",
       "}\n",
       ".typeahead-container button:focus,\n",
       ".typeahead-container button:hover {\n",
       " color: #2f2f2f;\n",
       " background-color: #ff7823;\n",
       " border-color: #ff7823;\n",
       "}\n",
       ".typeahead-list > li.typeahead-group.active > a,\n",
       ".typeahead-list > li.typeahead-group > a,\n",
       ".typeahead-list > li.typeahead-group > a:focus,\n",
       ".typeahead-list > li.typeahead-group > a:hover {\n",
       " display: none;\n",
       "}\n",
       ".typeahead-dropdown > li > a,\n",
       ".typeahead-list > li > a {\n",
       " color: #303030;\n",
       " text-decoration: none;\n",
       "}\n",
       ".typeahead-dropdown,\n",
       ".typeahead-list {\n",
       " font-family: \"Exo_2\", sans-serif;\n",
       " font-size: 13pt;\n",
       " color: #303030;\n",
       " background-color: #ffffff;\n",
       " border: none;\n",
       " background-clip: padding-box;\n",
       " margin-top: 0px;\n",
       " padding: 3px 2px 3px 0px;\n",
       " line-height: 1.7;\n",
       "}\n",
       ".typeahead-dropdown > li.active > a,\n",
       ".typeahead-dropdown > li > a:focus,\n",
       ".typeahead-dropdown > li > a:hover,\n",
       ".typeahead-list > li.active > a,\n",
       ".typeahead-list > li > a:focus,\n",
       ".typeahead-list > li > a:hover {\n",
       " color: #2f2f2f;\n",
       " background-color: #fafafa;\n",
       " border-color: #fafafa;\n",
       "}\n",
       ".command-shortcut:before {\n",
       " content: \"(command)\";\n",
       " padding-right: 3px;\n",
       " color: #aaaaaa;\n",
       "}\n",
       ".edit-shortcut:before {\n",
       " content: \"(edit)\";\n",
       " padding-right: 3px;\n",
       " color: #aaaaaa;\n",
       "}\n",
       "ul.typeahead-list i {\n",
       " margin-left: 1px;\n",
       " width: 18px;\n",
       " margin-right: 10px;\n",
       "}\n",
       "ul.typeahead-list {\n",
       " max-height: 50vh;\n",
       " overflow: auto;\n",
       "}\n",
       ".typeahead-list > li {\n",
       " position: relative;\n",
       " border: none;\n",
       "}\n",
       "div.input.typeahead-hint,\n",
       "input.typeahead-hint,\n",
       "body > div.modal.cmd-palette.in > div > div > div > form > div > div.typeahead-field > span.typeahead-query > input.typeahead-hint {\n",
       " color: #aaaaaa !important;\n",
       " background-color: transparent;\n",
       " padding: 3px 10px;\n",
       "}\n",
       ".typeahead-dropdown > li > a,\n",
       ".typeahead-list > li > a {\n",
       " display: block;\n",
       " padding: 5px;\n",
       " clear: both;\n",
       " font-weight: 400;\n",
       " line-height: 1.7;\n",
       " border: 1px solid #ffffff;\n",
       " border-bottom-color: rgba(180,180,180,.30);\n",
       "}\n",
       "body > div.modal.cmd-palette.in > div {\n",
       " min-width: 750px;\n",
       " margin: 150px auto;\n",
       "}\n",
       ".typeahead-container strong {\n",
       " font-weight: bolder;\n",
       " color: #ff7823;\n",
       "}\n",
       "#find-and-replace #replace-preview .match,\n",
       "#find-and-replace #replace-preview .insert {\n",
       " color: #ffffff;\n",
       " background-color: #ff7823;\n",
       " border-color: #ff7823;\n",
       " border-style: solid;\n",
       " border-width: 1px;\n",
       " border-radius: 0px;\n",
       "}\n",
       "#find-and-replace #replace-preview .replace .match {\n",
       " background-color: #de143d;\n",
       " border-color: #de143d;\n",
       " border-radius: 0px;\n",
       "}\n",
       "#find-and-replace #replace-preview .replace .insert {\n",
       " background-color: #009e07;\n",
       " border-color: #009e07;\n",
       " border-radius: 0px;\n",
       "}\n",
       "div.CodeMirror,\n",
       "div.CodeMirror pre {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " line-height: 170%;\n",
       " color: #303030;\n",
       "}\n",
       "div.CodeMirror-lines {\n",
       " padding-bottom: .6em;\n",
       " padding-left: .5em;\n",
       " padding-right: 1.5em;\n",
       " padding-top: 4px;\n",
       "}\n",
       "span.ansiblack {\n",
       " color: #dc4384;\n",
       "}\n",
       "span.ansiblue {\n",
       " color: #009e07;\n",
       "}\n",
       "span.ansigray {\n",
       " color: #ff7823;\n",
       "}\n",
       "span.ansigreen {\n",
       " color: #333333;\n",
       "}\n",
       "span.ansipurple {\n",
       " color: #653bc5;\n",
       "}\n",
       "span.ansicyan {\n",
       " color: #055be0;\n",
       "}\n",
       "span.ansiyellow {\n",
       " color: #ff7823;\n",
       "}\n",
       "span.ansired {\n",
       " color: #de143d;\n",
       "}\n",
       "div.output-stderr {\n",
       " background-color: #ebb5b7;\n",
       "}\n",
       "div.output-stderr pre {\n",
       " color: #000000;\n",
       "}\n",
       "div.js-error {\n",
       " color: #de143d;\n",
       "}\n",
       ".ipython_tooltip {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " line-height: 170%;\n",
       " border: 2px solid #dadada;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " border-radius: 2px;\n",
       " overflow-x: visible;\n",
       " overflow-y: visible;\n",
       " box-shadow: none;\n",
       " position: absolute;\n",
       " z-index: 1000;\n",
       "}\n",
       ".ipython_tooltip .tooltiptext pre {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " line-height: 170%;\n",
       " background: #eeeeee;\n",
       " background-color: #eeeeee;\n",
       " color: #303030;\n",
       " overflow-x: visible;\n",
       " overflow-y: visible;\n",
       " max-width: 900px;\n",
       "}\n",
       "div#tooltip.ipython_tooltip {\n",
       " overflow-x: wrap;\n",
       " overflow-y: visible;\n",
       " max-width: 800px;\n",
       "}\n",
       "div.tooltiptext.bigtooltip {\n",
       " overflow-x: visible;\n",
       " overflow-y: scroll;\n",
       " height: 400px;\n",
       " max-width: 800px;\n",
       "}\n",
       ".cm-s-ipython.CodeMirror {\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " background: #efefef;\n",
       " color: #303030;\n",
       " border-radius: 2px;\n",
       " font-style: normal;\n",
       " font-weight: normal;\n",
       "}\n",
       ".cm-s-ipython div.CodeMirror-selected {\n",
       " background: #e0e1e3;\n",
       "}\n",
       ".cm-s-ipython .CodeMirror-gutters {\n",
       " background: #e0e1e3;\n",
       " border: none;\n",
       " border-radius: 0px;\n",
       "}\n",
       ".cm-s-ipython .CodeMirror-linenumber {\n",
       " color: #aaaaaa;\n",
       "}\n",
       ".cm-s-ipython .CodeMirror-cursor {\n",
       " border-left: 2px solid #ff711a;\n",
       "}\n",
       ".cm-s-ipython span.cm-comment {\n",
       " color: #8d8d8d;\n",
       " font-style: italic;\n",
       "}\n",
       ".cm-s-ipython span.cm-atom {\n",
       " color: #055be0;\n",
       "}\n",
       ".cm-s-ipython span.cm-number {\n",
       " color: #ff8132;\n",
       "}\n",
       ".cm-s-ipython span.cm-property {\n",
       " color: #e22978;\n",
       "}\n",
       ".cm-s-ipython span.cm-attribute {\n",
       " color: #de143d;\n",
       "}\n",
       ".cm-s-ipython span.cm-keyword {\n",
       " color: #713bc5;\n",
       " font-weight: normal;\n",
       "}\n",
       ".cm-s-ipython span.cm-string {\n",
       " color: #009e07;\n",
       "}\n",
       ".cm-s-ipython span.cm-meta {\n",
       " color: #aa22ff;\n",
       "}\n",
       ".cm-s-ipython span.cm-operator {\n",
       " color: #055be0;\n",
       "}\n",
       ".cm-s-ipython span.cm-builtin {\n",
       " color: #e22978;\n",
       "}\n",
       ".cm-s-ipython span.cm-variable {\n",
       " color: #303030;\n",
       "}\n",
       ".cm-s-ipython span.cm-variable-2 {\n",
       " color: #de143d;\n",
       "}\n",
       ".cm-s-ipython span.cm-variable-3 {\n",
       " color: #aa22ff;\n",
       "}\n",
       ".cm-s-ipython span.cm-def {\n",
       " color: #e22978;\n",
       " font-weight: normal;\n",
       "}\n",
       ".cm-s-ipython span.cm-error {\n",
       " background: rgba(191,97,106,.40);\n",
       "}\n",
       ".cm-s-ipython span.cm-tag {\n",
       " color: #e22978;\n",
       "}\n",
       ".cm-s-ipython span.cm-link {\n",
       " color: #ff7823;\n",
       "}\n",
       ".cm-s-ipython span.cm-storage {\n",
       " color: #055be0;\n",
       "}\n",
       ".cm-s-ipython span.cm-entity {\n",
       " color: #e22978;\n",
       "}\n",
       ".cm-s-ipython span.cm-quote {\n",
       " color: #009e07;\n",
       "}\n",
       "div.CodeMirror span.CodeMirror-matchingbracket {\n",
       " color: #1c1c1c;\n",
       " background-color: rgba(30,112,199,.30);\n",
       "}\n",
       "div.CodeMirror span.CodeMirror-nonmatchingbracket {\n",
       " color: #1c1c1c;\n",
       " background: rgba(191,97,106,.40) !important;\n",
       "}\n",
       "div.cell.text_cell .cm-s-default .cm-header {\n",
       " color: #126dce;\n",
       "}\n",
       "div.cell.text_cell .cm-s-default span.cm-variable-2 {\n",
       " color: #353535;\n",
       "}\n",
       "div.cell.text_cell .cm-s-default span.cm-variable-3 {\n",
       " color: #aa22ff;\n",
       "}\n",
       ".cm-s-default span.cm-comment {\n",
       " color: #8d8d8d;\n",
       "}\n",
       ".cm-s-default .cm-tag {\n",
       " color: #009fb7;\n",
       "}\n",
       ".cm-s-default .cm-builtin {\n",
       " color: #e22978;\n",
       "}\n",
       ".cm-s-default .cm-string {\n",
       " color: #009e07;\n",
       "}\n",
       ".cm-s-default .cm-keyword {\n",
       " color: #713bc5;\n",
       "}\n",
       ".cm-s-default .cm-number {\n",
       " color: #ff8132;\n",
       "}\n",
       ".cm-s-default .cm-error {\n",
       " color: #055be0;\n",
       "}\n",
       ".CodeMirror-cursor {\n",
       " border-left: 2px solid #ff711a;\n",
       " border-right: none;\n",
       " width: 0;\n",
       "}\n",
       ".cm-s-default div.CodeMirror-selected {\n",
       " background: #e0e1e3;\n",
       "}\n",
       ".cm-s-default .cm-selected {\n",
       " background: #e0e1e3;\n",
       "}\n",
       ".completions {\n",
       " position: absolute;\n",
       " z-index: 110;\n",
       " overflow: hidden;\n",
       " border: medium solid #ff7823;\n",
       " line-height: 1;\n",
       "}\n",
       ".completions select {\n",
       " background: #efefef;\n",
       " outline: none;\n",
       " border: none;\n",
       " padding: 0px;\n",
       " margin: 0px;\n",
       " overflow: auto;\n",
       " font-family: \"Droid Sans Mono\", monospace;\n",
       " font-size: 11pt;\n",
       " color: #303030;\n",
       " width: auto;\n",
       "}\n",
       "/**\n",
       "div#maintoolbar {\n",
       "# display: none !important;\n",
       "#}\n",
       "##header-container {\n",
       "# display: none !important;\n",
       "#}\n",
       "**/\n",
       "\n",
       "\n",
       "/**********************************\n",
       " MathJax Settings and Style Script\n",
       "**********************************/\n",
       ".MathJax_Display,\n",
       ".MathJax nobr>span.math>span {\n",
       "    border: 0 !important;\n",
       "    font-size: 110% !important;\n",
       "    text-align: center !important;\n",
       "    margin: 0em !important;\n",
       "}\n",
       "/* Prevents MathJax from jittering */\n",
       "/* cell position when cell is selected */\n",
       ".MathJax:focus, body :focus .MathJax {\n",
       "    display: inline-block !important;\n",
       "}\n",
       "\n",
       "</style>\n",
       "\n",
       "\n",
       "<script>\n",
       "    MathJax.Hub.Config({\n",
       "        \"HTML-CSS\": {\n",
       "            preferredFont: \"TeX\",\n",
       "            availableFonts: [\"STIX\",\"TeX\"],\n",
       "            styles: {\n",
       "                scale: 110,\n",
       "                \".MathJax_Display\": {\n",
       "                    \"font-size\": \"110%\",\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "});\n",
       "\n",
       "$([IPython.events]).on('notebook_loaded.Notebook',function(){\n",
       "    $('#header').hide();\n",
       "    IPython.keyboard_manager.command_shortcuts.add_shortcut('ctrl-`',function (event) {\n",
       "        if (IPython.notebook.mode == 'command') {\n",
       "            $('#header').toggle();\n",
       "            return false;\n",
       "        }\n",
       "        return true;\n",
       "    });\n",
       "});\n",
       "\n",
       "</script>\n",
       "\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#\n",
    "from IPython.core.display import HTML\n",
    "HTML(open('../custom.css').read())"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}