Trials.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.022"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import decimal\n",
    "import random\n",
    "round(random.uniform(0, 1), 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.24\n",
      "0.88\n",
      "0.93\n",
      "0.7\n",
      "0.2\n",
      "0.92\n",
      "0.93\n",
      "0.78\n",
      "0.11\n",
      "0.13\n",
      "0.31\n",
      "0.43\n",
      "0.99\n",
      "0.1\n",
      "0.91\n",
      "0.05\n",
      "0.21\n",
      "0.65\n",
      "0.08\n",
      "0.07\n"
     ]
    }
   ],
   "source": [
    "for n in range(20):\n",
    "    print(round(random.uniform(0, 1), 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "99\n"
     ]
    }
   ],
   "source": [
    "from random import randint\n",
    "print(randint(0,100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.037\n",
      "0.253\n",
      "0.564\n",
      "0.569\n",
      "0.606\n",
      "0.513\n",
      "0.713\n",
      "0.893\n",
      "0.616\n",
      "0.538\n"
     ]
    }
   ],
   "source": [
    "import decimal\n",
    "import random\n",
    "random.seed(9001)\n",
    "for n in range(10):\n",
    "    temp = round(random.uniform(0, 1), 3)\n",
    "    print(temp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import warnings\n",
    "from custom import custom_funcs as cf\n",
    "from datetime import datetime\n",
    "\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline\n",
    "G = nx.read_gpickle('Synthetic Social Network.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ldZNK4dy5Mw4dOaKBFhlj7O048WSsBDQ5r65v37744YcfsGPHDlhYWKhLIhW3GDoRITEx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\nIiIiRfx/YzcrxrGZNhIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2bef3f5f668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "Z = nx.gnp_random_graph (20 , 0.6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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bq9UyODiYANirVy8+ffpUb2VfuHCBY8eOZbly5QiAarWaAFi6dGkGBwczOjr6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lKipKNq5bJ8fPnJH7/2eq0WjEXqsVZ3d3WbNmzSPNz8xNcnKyrFixQubMmSP79u2TcuXKSY8e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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2bef739f128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw(Z)"
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     "execution_count": 10,
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   ],
   "source": [
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   "cell_type": "code",
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     "execution_count": 11,
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   "source": [
    "Z2 = Z.to_directed()\n",
    "Z2.edges()"
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  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Z = nx.gnp_random_graph (50 , 0.10, seed=5001)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
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    "collapsed": false
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     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "Z = Z.to_directed()\n",
    "Z.edges()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "270"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "len(Z.edges())"
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  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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a7f3oB68pSgfUvfzyyxVec/DgQcPzlWU5V61aRTqdjnbt2mUYlKRUKmnmzJmV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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2bef7733828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw(Z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import warnings\n",
    "from custom import custom_funcs as cf\n",
    "from datetime import datetime\n",
    "\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "G = nx.gnp_random_graph(20 , 0.1, seed=5001)\n",
    "G = G.to_directed()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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eeuopvvrqq8IPXFI5sbGxjBs3juuys/nG42Ek0Kic5zQCRgKbPB6uy85m3Lhx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\npmkyatQoNm/eTMeOHXn77bfp1StQiWQRkeA7ffo0MTExDB8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GUI+nSC1GjRrFsWPHuPfe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\ns/DsVVNPQv4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2bef791e4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw(G, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(16, [17, 2, 3, 7]),\n",
       " (12, [11, 17, 19]),\n",
       " (17, [16, 12, 14]),\n",
       " (19, [8, 18, 12]),\n",
       " (2, [16, 7]),\n",
       " (7, [16, 2]),\n",
       " (14, [17, 10]),\n",
       " (0, [13]),\n",
       " (1, [9]),\n",
       " (3, [16]),\n",
       " (5, [15]),\n",
       " (8, [19]),\n",
       " (9, [1]),\n",
       " (10, [14]),\n",
       " (11, [12]),\n",
       " (13, [0]),\n",
       " (15, [5]),\n",
       " (18, [19]),\n",
       " (4, []),\n",
       " (6, [])]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sorted([(n,G.neighbors(n)) for n in G.nodes()], key=lambda x: len(x[1]), reverse=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[17, 2, 3, 7]\n",
      "[12, 14]\n",
      "[]\n",
      "[]\n",
      "[]\n",
      "[11, 19]\n",
      "[10]\n",
      "[]\n",
      "[8, 18]\n",
      "[]\n",
      "[]\n",
      "[]\n"
     ]
    }
   ],
   "source": [
    "visited_nodes = list()\n",
    "queue = [16]\n",
    "pardaught = dict()\n",
    "exclu = list()\n",
    "path = set()\n",
    "visited_nodes.extend(queue)\n",
    "for node in queue:\n",
    "    path.add(node)\n",
    "    #print(node)\n",
    "    neighbors = G.neighbors(node)\n",
    "    exclu = [n for n in neighbors if n not in visited_nodes]\n",
    "    print(exclu)\n",
    "    pardaught[node] = exclu\n",
    "    visited_nodes.extend(exclu)\n",
    "    #queue.remove(node)\n",
    "    queue.extend(exclu)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+/frRu3dvTf4qg06ePImvry9//vlntnMjR45k5cqVTqhKJCsFTymWXn31VV57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\nGtgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2bef793d390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "newG = G.subgraph(path)\n",
    "nx.draw(newG, with_labels=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{2: [],\n",
       " 3: [],\n",
       " 7: [],\n",
       " 8: [],\n",
       " 10: [],\n",
       " 11: [],\n",
       " 12: [11, 19],\n",
       " 14: [10],\n",
       " 16: [17, 2, 3, 7],\n",
       " 17: [12, 14],\n",
       " 18: [],\n",
       " 19: [8, 18]}"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pardaught"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12\n",
      "12\n",
      "14\n",
      "16\n",
      "16\n",
      "16\n",
      "16\n",
      "17\n",
      "17\n",
      "19\n",
      "19\n"
     ]
    }
   ],
   "source": [
    "search = [11,19,10,17,2,3,7,12,14,8,18]\n",
    "for n in range(len(search)):\n",
    "    for key, values in pardaught.items():\n",
    "        if search[n] in values:\n",
    "            print(key)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[56, 12, 50, 30, 94, 83, 70, 10, 5, 36, 50, 20, 11, 65, 92, 40, 46, 99, 56, 51, 22, 67, 4, 96, 38, 12, 70, 5, 90, 17, 12, 24, 62, 19, 31, 34, 77, 0, 7, 64, 41, 11, 64, 42, 1, 72, 20, 55, 8, 44, 7, 95, 14, 17, 85, 67, 52, 7, 2, 69, 21, 23, 18, 74, 71, 42, 13, 12, 28, 84, 80, 23, 86, 40, 15, 26, 33, 52, 25, 100, 10, 33, 41, 48, 60, 30, 67, 40, 90, 43, 5, 28, 65, 99, 32, 65, 46, 89, 94, 65]\n"
     ]
    }
   ],
   "source": [
    "import random\n",
    "class MyRand(object):\n",
    "    def __init__(self):\n",
    "        self.last = None\n",
    "\n",
    "    def __call__(self):\n",
    "        r = random.randint(0, 100)\n",
    "        while r == self.last:\n",
    "            r = random.randint(0, 100)\n",
    "        self.last = r\n",
    "        return r\n",
    "\n",
    "randint = MyRand()\n",
    "lst = list()\n",
    "for i in range(100):\n",
    "    y = randint()\n",
    "    lst.append(y)\n",
    "print(lst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>video ID</th>\n",
       "      <th>uploader</th>\n",
       "      <th>age</th>\n",
       "      <th>category</th>\n",
       "      <th>length</th>\n",
       "      <th>views</th>\n",
       "      <th>video rating(on a scale of 5)</th>\n",
       "      <th>number of ratings</th>\n",
       "      <th>number of comments</th>\n",
       "      <th>Pi</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>jfACnjzXc3o</td>\n",
       "      <td>DaMagicGenie</td>\n",
       "      <td>1236</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>284</td>\n",
       "      <td>565</td>\n",
       "      <td>2.92</td>\n",
       "      <td>13</td>\n",
       "      <td>13</td>\n",
       "      <td>0.012813</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>uWAxLCkpPW4</td>\n",
       "      <td>SpeedUpVideos</td>\n",
       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>182</td>\n",
       "      <td>2084</td>\n",
       "      <td>4.67</td>\n",
       "      <td>49</td>\n",
       "      <td>31</td>\n",
       "      <td>0.047259</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>zzAFEtwIoAw</td>\n",
       "      <td>djsvideodiarys</td>\n",
       "      <td>1248</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>266</td>\n",
       "      <td>936</td>\n",
       "      <td>2.13</td>\n",
       "      <td>39</td>\n",
       "      <td>13</td>\n",
       "      <td>0.021226</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3iguSOqYAVg</td>\n",
       "      <td>techhomo</td>\n",
       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>180</td>\n",
       "      <td>447</td>\n",
       "      <td>5.00</td>\n",
       "      <td>1</td>\n",
       "      <td>13</td>\n",
       "      <td>0.010137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>sA2kG2p9INU</td>\n",
       "      <td>Zombiesaurus666</td>\n",
       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>364</td>\n",
       "      <td>80</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>0.001814</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      video ID         uploader   age category  length  views  \\\n",
       "0  jfACnjzXc3o     DaMagicGenie  1236   Comedy     284    565   \n",
       "1  uWAxLCkpPW4    SpeedUpVideos  1257   Comedy     182   2084   \n",
       "2  zzAFEtwIoAw   djsvideodiarys  1248   Comedy     266    936   \n",
       "3  3iguSOqYAVg         techhomo  1257   Comedy     180    447   \n",
       "4  sA2kG2p9INU  Zombiesaurus666  1257   Comedy     364     80   \n",
       "\n",
       "   video rating(on a scale of 5)  number of ratings  number of comments  \\\n",
       "0                           2.92                 13                  13   \n",
       "1                           4.67                 49                  31   \n",
       "2                           2.13                 39                  13   \n",
       "3                           5.00                  1                  13   \n",
       "4                           1.00                  1                   3   \n",
       "\n",
       "         Pi  \n",
       "0  0.012813  \n",
       "1  0.047259  \n",
       "2  0.021226  \n",
       "3  0.010137  \n",
       "4  0.001814  "
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "df = pd.read_excel(\"Video_Prop.xlsx\")\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pdf = df.copy(deep = False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pdf.drop(pdf.columns[[1,2,3,4,8,9]], axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "<div>\n",
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>video ID</th>\n",
       "      <th>views</th>\n",
       "      <th>video rating(on a scale of 5)</th>\n",
       "      <th>number of ratings</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
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       "      <th>0</th>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>uWAxLCkpPW4</td>\n",
       "      <td>2084</td>\n",
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       "      <td>49</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>zzAFEtwIoAw</td>\n",
       "      <td>936</td>\n",
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       "      <td>39</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
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       "      <td>sA2kG2p9INU</td>\n",
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       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      video ID  views  video rating(on a scale of 5)  number of ratings\n",
       "0  jfACnjzXc3o    565                           2.92                 13\n",
       "1  uWAxLCkpPW4   2084                           4.67                 49\n",
       "2  zzAFEtwIoAw    936                           2.13                 39\n",
       "3  3iguSOqYAVg    447                           5.00                  1\n",
       "4  sA2kG2p9INU     80                           1.00                  1"
      ]
     },
     "execution_count": 28,
     "metadata": {},
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    }
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   "source": [
    "pdf.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
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       "      <th>video ID</th>\n",
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       "      <th>Pi</th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>jfACnjzXc3o</td>\n",
       "      <td>DaMagicGenie</td>\n",
       "      <td>1236</td>\n",
       "      <td>Comedy</td>\n",
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       "      <th>1</th>\n",
       "      <td>uWAxLCkpPW4</td>\n",
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       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>182</td>\n",
       "      <td>2084</td>\n",
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       "      <td>49</td>\n",
       "      <td>31</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>zzAFEtwIoAw</td>\n",
       "      <td>djsvideodiarys</td>\n",
       "      <td>1248</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>266</td>\n",
       "      <td>936</td>\n",
       "      <td>2.13</td>\n",
       "      <td>39</td>\n",
       "      <td>13</td>\n",
       "      <td>0.021226</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3iguSOqYAVg</td>\n",
       "      <td>techhomo</td>\n",
       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>180</td>\n",
       "      <td>447</td>\n",
       "      <td>5.00</td>\n",
       "      <td>1</td>\n",
       "      <td>13</td>\n",
       "      <td>0.010137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>sA2kG2p9INU</td>\n",
       "      <td>Zombiesaurus666</td>\n",
       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>364</td>\n",
       "      <td>80</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>0.001814</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      video ID         uploader   age category  length  views  \\\n",
       "0  jfACnjzXc3o     DaMagicGenie  1236   Comedy     284    565   \n",
       "1  uWAxLCkpPW4    SpeedUpVideos  1257   Comedy     182   2084   \n",
       "2  zzAFEtwIoAw   djsvideodiarys  1248   Comedy     266    936   \n",
       "3  3iguSOqYAVg         techhomo  1257   Comedy     180    447   \n",
       "4  sA2kG2p9INU  Zombiesaurus666  1257   Comedy     364     80   \n",
       "\n",
       "   video rating(on a scale of 5)  number of ratings  number of comments  \\\n",
       "0                           2.92                 13                  13   \n",
       "1                           4.67                 49                  31   \n",
       "2                           2.13                 39                  13   \n",
       "3                           5.00                  1                  13   \n",
       "4                           1.00                  1                   3   \n",
       "\n",
       "         Pi  \n",
       "0  0.012813  \n",
       "1  0.047259  \n",
       "2  0.021226  \n",
       "3  0.010137  \n",
       "4  0.001814  "
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "rdf = df.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "rdf.drop(rdf.columns[[1,2,3,4,8,9]], axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
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       "      <th>video ID</th>\n",
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       "      <th>video rating(on a scale of 5)</th>\n",
       "      <th>number of ratings</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>jfACnjzXc3o</td>\n",
       "      <td>565</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>uWAxLCkpPW4</td>\n",
       "      <td>2084</td>\n",
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       "      <td>49</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>zzAFEtwIoAw</td>\n",
       "      <td>936</td>\n",
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       "      <td>39</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3iguSOqYAVg</td>\n",
       "      <td>447</td>\n",
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       "      <th>4</th>\n",
       "      <td>sA2kG2p9INU</td>\n",
       "      <td>80</td>\n",
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       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      video ID  views  video rating(on a scale of 5)  number of ratings\n",
       "0  jfACnjzXc3o    565                           2.92                 13\n",
       "1  uWAxLCkpPW4   2084                           4.67                 49\n",
       "2  zzAFEtwIoAw    936                           2.13                 39\n",
       "3  3iguSOqYAVg    447                           5.00                  1\n",
       "4  sA2kG2p9INU     80                           1.00                  1"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rdf.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
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       "      <th>video ID</th>\n",
       "      <th>uploader</th>\n",
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       "      <th>Pi</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>jfACnjzXc3o</td>\n",
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       "      <td>284</td>\n",
       "      <td>565</td>\n",
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       "      <td>13</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>uWAxLCkpPW4</td>\n",
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       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>182</td>\n",
       "      <td>2084</td>\n",
       "      <td>4.67</td>\n",
       "      <td>49</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>zzAFEtwIoAw</td>\n",
       "      <td>djsvideodiarys</td>\n",
       "      <td>1248</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>266</td>\n",
       "      <td>936</td>\n",
       "      <td>2.13</td>\n",
       "      <td>39</td>\n",
       "      <td>13</td>\n",
       "      <td>0.021226</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3iguSOqYAVg</td>\n",
       "      <td>techhomo</td>\n",
       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>180</td>\n",
       "      <td>447</td>\n",
       "      <td>5.00</td>\n",
       "      <td>1</td>\n",
       "      <td>13</td>\n",
       "      <td>0.010137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>sA2kG2p9INU</td>\n",
       "      <td>Zombiesaurus666</td>\n",
       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>364</td>\n",
       "      <td>80</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>0.001814</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>MZX0VXLq54w</td>\n",
       "      <td>SpeedUpVideos</td>\n",
       "      <td>1250</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>28</td>\n",
       "      <td>2755</td>\n",
       "      <td>4.00</td>\n",
       "      <td>27</td>\n",
       "      <td>31</td>\n",
       "      <td>0.062476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>PawWL2Hml4I</td>\n",
       "      <td>AniGamesCosplay</td>\n",
       "      <td>1258</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>240</td>\n",
       "      <td>168</td>\n",
       "      <td>5.00</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>0.003810</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7qM-_ez_5kY</td>\n",
       "      <td>RandomCrazyChris</td>\n",
       "      <td>1257</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>52</td>\n",
       "      <td>158</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.003583</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0Ci_GcBeJpU</td>\n",
       "      <td>ZombieDude323</td>\n",
       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>102</td>\n",
       "      <td>74</td>\n",
       "      <td>5.00</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0.001678</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Wpgeu_dy8zw</td>\n",
       "      <td>wiskeymikey</td>\n",
       "      <td>1252</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>54</td>\n",
       "      <td>1914</td>\n",
       "      <td>2.33</td>\n",
       "      <td>6</td>\n",
       "      <td>8</td>\n",
       "      <td>0.043404</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>U0_CuZHtq_Y</td>\n",
       "      <td>blubblub8</td>\n",
       "      <td>1251</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>25</td>\n",
       "      <td>187</td>\n",
       "      <td>1.00</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0.004241</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Jwzoi05VDts</td>\n",
       "      <td>brawlman14365</td>\n",
       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>44</td>\n",
       "      <td>44</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>7</td>\n",
       "      <td>0.000998</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>xqdjb-XkzG4</td>\n",
       "      <td>evithebest18</td>\n",
       "      <td>1252</td>\n",
       "      <td>Entertainment</td>\n",
       "      <td>178</td>\n",
       "      <td>314</td>\n",
       "      <td>1.80</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "      <td>0.007121</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>JYLectcOOi0</td>\n",
       "      <td>demcity</td>\n",
       "      <td>1250</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>49</td>\n",
       "      <td>151</td>\n",
       "      <td>5.00</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>0.003424</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>PCHG2tIt2RY</td>\n",
       "      <td>lahlehluh</td>\n",
       "      <td>1258</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>364</td>\n",
       "      <td>27</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.000612</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>v1qkmQPJIcU</td>\n",
       "      <td>pirracingvids</td>\n",
       "      <td>1251</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>49</td>\n",
       "      <td>234</td>\n",
       "      <td>2.00</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>0.005306</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>aeGBf5lnhhY</td>\n",
       "      <td>figment1988</td>\n",
       "      <td>987</td>\n",
       "      <td>Entertainment</td>\n",
       "      <td>30</td>\n",
       "      <td>6570</td>\n",
       "      <td>4.94</td>\n",
       "      <td>31</td>\n",
       "      <td>67</td>\n",
       "      <td>0.148990</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>vYVGslS0itE</td>\n",
       "      <td>AVGNVidz</td>\n",
       "      <td>1258</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>5</td>\n",
       "      <td>52</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>0.001179</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>8DlZjt76Gnc</td>\n",
       "      <td>SushieBoy</td>\n",
       "      <td>976</td>\n",
       "      <td>Autos &amp; Vehicles</td>\n",
       "      <td>246</td>\n",
       "      <td>2323</td>\n",
       "      <td>3.91</td>\n",
       "      <td>32</td>\n",
       "      <td>23</td>\n",
       "      <td>0.052679</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>m4WPt9AZY9c</td>\n",
       "      <td>AVGNVidz</td>\n",
       "      <td>1257</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>638</td>\n",
       "      <td>914</td>\n",
       "      <td>1.14</td>\n",
       "      <td>44</td>\n",
       "      <td>19</td>\n",
       "      <td>0.020727</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>uQdqMfw9iuU</td>\n",
       "      <td>tr0d</td>\n",
       "      <td>493</td>\n",
       "      <td>Entertainment</td>\n",
       "      <td>153</td>\n",
       "      <td>20125</td>\n",
       "      <td>4.62</td>\n",
       "      <td>29</td>\n",
       "      <td>24</td>\n",
       "      <td>0.456380</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>5rm-FVsBVcI</td>\n",
       "      <td>tr0d</td>\n",
       "      <td>493</td>\n",
       "      <td>Entertainment</td>\n",
       "      <td>138</td>\n",
       "      <td>7653</td>\n",
       "      <td>4.85</td>\n",
       "      <td>27</td>\n",
       "      <td>23</td>\n",
       "      <td>0.173549</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>Lhj1IoVgjn8</td>\n",
       "      <td>tr0d</td>\n",
       "      <td>493</td>\n",
       "      <td>Entertainment</td>\n",
       "      <td>153</td>\n",
       "      <td>9723</td>\n",
       "      <td>4.79</td>\n",
       "      <td>28</td>\n",
       "      <td>20</td>\n",
       "      <td>0.220491</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>Au0eBx05Zxc</td>\n",
       "      <td>freedomanddemocracy</td>\n",
       "      <td>1257</td>\n",
       "      <td>News &amp; Politics</td>\n",
       "      <td>401</td>\n",
       "      <td>602</td>\n",
       "      <td>4.11</td>\n",
       "      <td>9</td>\n",
       "      <td>17</td>\n",
       "      <td>0.013652</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>4yU2-LTFLf0</td>\n",
       "      <td>JohnMcCaindotcom</td>\n",
       "      <td>1241</td>\n",
       "      <td>News &amp; Politics</td>\n",
       "      <td>64</td>\n",
       "      <td>8646</td>\n",
       "      <td>3.91</td>\n",
       "      <td>138</td>\n",
       "      <td>249</td>\n",
       "      <td>0.196068</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>9-HfSY6LEqY</td>\n",
       "      <td>votevets</td>\n",
       "      <td>1254</td>\n",
       "      <td>News &amp; Politics</td>\n",
       "      <td>38</td>\n",
       "      <td>44097</td>\n",
       "      <td>4.56</td>\n",
       "      <td>143</td>\n",
       "      <td>256</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>2EDOgG-GdPw</td>\n",
       "      <td>campaigntvads</td>\n",
       "      <td>1249</td>\n",
       "      <td>News &amp; Politics</td>\n",
       "      <td>32</td>\n",
       "      <td>105</td>\n",
       "      <td>3.00</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0.002381</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>K2X8SVZNUrY</td>\n",
       "      <td>tpmtv</td>\n",
       "      <td>1257</td>\n",
       "      <td>News &amp; Politics</td>\n",
       "      <td>114</td>\n",
       "      <td>1255</td>\n",
       "      <td>4.24</td>\n",
       "      <td>21</td>\n",
       "      <td>34</td>\n",
       "      <td>0.028460</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>Fw2KxSWs0hA</td>\n",
       "      <td>BullnBearAnalytics</td>\n",
       "      <td>1221</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>581</td>\n",
       "      <td>203</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>0.004603</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>gO35AwPtn9o</td>\n",
       "      <td>PatriotMcCain</td>\n",
       "      <td>1144</td>\n",
       "      <td>News &amp; Politics</td>\n",
       "      <td>242</td>\n",
       "      <td>1407</td>\n",
       "      <td>2.92</td>\n",
       "      <td>12</td>\n",
       "      <td>9</td>\n",
       "      <td>0.031907</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>f2bGDgfHZvQ</td>\n",
       "      <td>ForaTv</td>\n",
       "      <td>1218</td>\n",
       "      <td>News &amp; Politics</td>\n",
       "      <td>236</td>\n",
       "      <td>1207</td>\n",
       "      <td>5.00</td>\n",
       "      <td>27</td>\n",
       "      <td>26</td>\n",
       "      <td>0.027371</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>gMTSIWXZ8ts</td>\n",
       "      <td>JohnMcCainCampaign</td>\n",
       "      <td>1124</td>\n",
       "      <td>Entertainment</td>\n",
       "      <td>294</td>\n",
       "      <td>119</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.002699</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>mTSuHweJXxc</td>\n",
       "      <td>campaigntvads</td>\n",
       "      <td>1257</td>\n",
       "      <td>News &amp; Politics</td>\n",
       "      <td>32</td>\n",
       "      <td>38</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.000862</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>kD3LTtYXl2A</td>\n",
       "      <td>BullnBearAnalytics</td>\n",
       "      <td>1221</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>243</td>\n",
       "      <td>75</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.001701</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>HqlyqG6tNh0</td>\n",
       "      <td>gangshabi</td>\n",
       "      <td>1251</td>\n",
       "      <td>News &amp; Politics</td>\n",
       "      <td>33</td>\n",
       "      <td>708</td>\n",
       "      <td>2.71</td>\n",
       "      <td>7</td>\n",
       "      <td>7</td>\n",
       "      <td>0.016056</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>9_u-sWwyWI8</td>\n",
       "      <td>ddaeghhehetar</td>\n",
       "      <td>1258</td>\n",
       "      <td>Pets &amp; Animals</td>\n",
       "      <td>238</td>\n",
       "      <td>423</td>\n",
       "      <td>5.00</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>0.009592</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>T6jPQ6Ftesg</td>\n",
       "      <td>thetoastedrawr</td>\n",
       "      <td>1257</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>80</td>\n",
       "      <td>762</td>\n",
       "      <td>3.85</td>\n",
       "      <td>13</td>\n",
       "      <td>22</td>\n",
       "      <td>0.017280</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>rEycXsyVu_U</td>\n",
       "      <td>jardine64</td>\n",
       "      <td>1258</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>19</td>\n",
       "      <td>97</td>\n",
       "      <td>5.00</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>0.002200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>SQ_HHV8vdAE</td>\n",
       "      <td>AllisonRhodespzxwu</td>\n",
       "      <td>1258</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>175</td>\n",
       "      <td>7</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0.000159</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>htpulp7ZbWE</td>\n",
       "      <td>HelenaMN</td>\n",
       "      <td>1257</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>79</td>\n",
       "      <td>259</td>\n",
       "      <td>3.88</td>\n",
       "      <td>8</td>\n",
       "      <td>6</td>\n",
       "      <td>0.005873</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>7_4xqQffK8k</td>\n",
       "      <td>weirdlover</td>\n",
       "      <td>932</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>114</td>\n",
       "      <td>360</td>\n",
       "      <td>4.00</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>0.008164</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>CT5tGAu-rPs</td>\n",
       "      <td>BleedingLlama</td>\n",
       "      <td>1072</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>414</td>\n",
       "      <td>280</td>\n",
       "      <td>4.75</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>0.006350</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>jk1DSWkCa-U</td>\n",
       "      <td>kirstykannibal</td>\n",
       "      <td>1258</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>150</td>\n",
       "      <td>129</td>\n",
       "      <td>5.00</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>0.002925</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>MCyxepQKBUM</td>\n",
       "      <td>aammbbeerr9</td>\n",
       "      <td>1252</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>30</td>\n",
       "      <td>292</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>0.006622</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>gb0eVsg50xM</td>\n",
       "      <td>shezzno</td>\n",
       "      <td>1233</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>81</td>\n",
       "      <td>192</td>\n",
       "      <td>1.67</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>0.004354</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>saSNRofAFVE</td>\n",
       "      <td>Calvin111117</td>\n",
       "      <td>1170</td>\n",
       "      <td>Education</td>\n",
       "      <td>464</td>\n",
       "      <td>8940</td>\n",
       "      <td>3.67</td>\n",
       "      <td>49</td>\n",
       "      <td>240</td>\n",
       "      <td>0.202735</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>s8wt91rs550</td>\n",
       "      <td>giddyupgroudon</td>\n",
       "      <td>1230</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>52</td>\n",
       "      <td>79</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>0.001792</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>5kC4F86fejc</td>\n",
       "      <td>Cuso6</td>\n",
       "      <td>1205</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>67</td>\n",
       "      <td>1047</td>\n",
       "      <td>1.33</td>\n",
       "      <td>6</td>\n",
       "      <td>11</td>\n",
       "      <td>0.023743</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>ywUYymEQALo</td>\n",
       "      <td>lightanddarklove</td>\n",
       "      <td>1140</td>\n",
       "      <td>People &amp; Blogs</td>\n",
       "      <td>579</td>\n",
       "      <td>330</td>\n",
       "      <td>5.00</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>0.007484</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>5uc9WMwzaiY</td>\n",
       "      <td>MusicalMadlibs</td>\n",
       "      <td>1040</td>\n",
       "      <td>Entertainment</td>\n",
       "      <td>340</td>\n",
       "      <td>1731</td>\n",
       "      <td>4.92</td>\n",
       "      <td>13</td>\n",
       "      <td>2</td>\n",
       "      <td>0.039254</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       video ID             uploader   age          category  length  views  \\\n",
       "0   jfACnjzXc3o         DaMagicGenie  1236            Comedy     284    565   \n",
       "1   uWAxLCkpPW4        SpeedUpVideos  1257            Comedy     182   2084   \n",
       "2   zzAFEtwIoAw       djsvideodiarys  1248            Comedy     266    936   \n",
       "3   3iguSOqYAVg             techhomo  1257            Comedy     180    447   \n",
       "4   sA2kG2p9INU      Zombiesaurus666  1257            Comedy     364     80   \n",
       "5   MZX0VXLq54w        SpeedUpVideos  1250            Comedy      28   2755   \n",
       "6   PawWL2Hml4I      AniGamesCosplay  1258            Comedy     240    168   \n",
       "7   7qM-_ez_5kY     RandomCrazyChris  1257    People & Blogs      52    158   \n",
       "8   0Ci_GcBeJpU        ZombieDude323  1257            Comedy     102     74   \n",
       "9   Wpgeu_dy8zw          wiskeymikey  1252            Comedy      54   1914   \n",
       "10  U0_CuZHtq_Y            blubblub8  1251            Comedy      25    187   \n",
       "11  Jwzoi05VDts        brawlman14365  1257            Comedy      44     44   \n",
       "12  xqdjb-XkzG4         evithebest18  1252     Entertainment     178    314   \n",
       "13  JYLectcOOi0              demcity  1250            Comedy      49    151   \n",
       "14  PCHG2tIt2RY            lahlehluh  1258            Comedy     364     27   \n",
       "15  v1qkmQPJIcU        pirracingvids  1251            Comedy      49    234   \n",
       "16  aeGBf5lnhhY          figment1988   987     Entertainment      30   6570   \n",
       "17  vYVGslS0itE             AVGNVidz  1258            Comedy       5     52   \n",
       "18  8DlZjt76Gnc            SushieBoy   976  Autos & Vehicles     246   2323   \n",
       "19  m4WPt9AZY9c             AVGNVidz  1257            Comedy     638    914   \n",
       "20  uQdqMfw9iuU                 tr0d   493     Entertainment     153  20125   \n",
       "21  5rm-FVsBVcI                 tr0d   493     Entertainment     138   7653   \n",
       "22  Lhj1IoVgjn8                 tr0d   493     Entertainment     153   9723   \n",
       "23  Au0eBx05Zxc  freedomanddemocracy  1257   News & Politics     401    602   \n",
       "24  4yU2-LTFLf0     JohnMcCaindotcom  1241   News & Politics      64   8646   \n",
       "25  9-HfSY6LEqY             votevets  1254   News & Politics      38  44097   \n",
       "26  2EDOgG-GdPw        campaigntvads  1249   News & Politics      32    105   \n",
       "27  K2X8SVZNUrY                tpmtv  1257   News & Politics     114   1255   \n",
       "28  Fw2KxSWs0hA   BullnBearAnalytics  1221    People & Blogs     581    203   \n",
       "29  gO35AwPtn9o        PatriotMcCain  1144   News & Politics     242   1407   \n",
       "30  f2bGDgfHZvQ               ForaTv  1218   News & Politics     236   1207   \n",
       "31  gMTSIWXZ8ts   JohnMcCainCampaign  1124     Entertainment     294    119   \n",
       "32  mTSuHweJXxc        campaigntvads  1257   News & Politics      32     38   \n",
       "33  kD3LTtYXl2A   BullnBearAnalytics  1221    People & Blogs     243     75   \n",
       "34  HqlyqG6tNh0            gangshabi  1251   News & Politics      33    708   \n",
       "35  9_u-sWwyWI8        ddaeghhehetar  1258    Pets & Animals     238    423   \n",
       "36  T6jPQ6Ftesg       thetoastedrawr  1257    People & Blogs      80    762   \n",
       "37  rEycXsyVu_U            jardine64  1258    People & Blogs      19     97   \n",
       "38  SQ_HHV8vdAE   AllisonRhodespzxwu  1258    People & Blogs     175      7   \n",
       "39  htpulp7ZbWE             HelenaMN  1257    People & Blogs      79    259   \n",
       "40  7_4xqQffK8k           weirdlover   932    People & Blogs     114    360   \n",
       "41  CT5tGAu-rPs        BleedingLlama  1072    People & Blogs     414    280   \n",
       "42  jk1DSWkCa-U       kirstykannibal  1258    People & Blogs     150    129   \n",
       "43  MCyxepQKBUM          aammbbeerr9  1252            Comedy      30    292   \n",
       "44  gb0eVsg50xM              shezzno  1233            Comedy      81    192   \n",
       "45  saSNRofAFVE         Calvin111117  1170         Education     464   8940   \n",
       "46  s8wt91rs550       giddyupgroudon  1230            Comedy      52     79   \n",
       "47  5kC4F86fejc                Cuso6  1205            Comedy      67   1047   \n",
       "48  ywUYymEQALo     lightanddarklove  1140    People & Blogs     579    330   \n",
       "49  5uc9WMwzaiY       MusicalMadlibs  1040     Entertainment     340   1731   \n",
       "\n",
       "    video rating(on a scale of 5)  number of ratings  number of comments  \\\n",
       "0                            2.92                 13                  13   \n",
       "1                            4.67                 49                  31   \n",
       "2                            2.13                 39                  13   \n",
       "3                            5.00                  1                  13   \n",
       "4                            1.00                  1                   3   \n",
       "5                            4.00                 27                  31   \n",
       "6                            5.00                  4                   2   \n",
       "7                            0.00                  0                   0   \n",
       "8                            5.00                  2                   1   \n",
       "9                            2.33                  6                   8   \n",
       "10                           1.00                  2                   0   \n",
       "11                           0.00                  0                   7   \n",
       "12                           1.80                  5                   3   \n",
       "13                           5.00                  1                   3   \n",
       "14                           0.00                  0                   0   \n",
       "15                           2.00                  4                   2   \n",
       "16                           4.94                 31                  67   \n",
       "17                           0.00                  0                   3   \n",
       "18                           3.91                 32                  23   \n",
       "19                           1.14                 44                  19   \n",
       "20                           4.62                 29                  24   \n",
       "21                           4.85                 27                  23   \n",
       "22                           4.79                 28                  20   \n",
       "23                           4.11                  9                  17   \n",
       "24                           3.91                138                 249   \n",
       "25                           4.56                143                 256   \n",
       "26                           3.00                  2                   0   \n",
       "27                           4.24                 21                  34   \n",
       "28                           0.00                  0                   6   \n",
       "29                           2.92                 12                   9   \n",
       "30                           5.00                 27                  26   \n",
       "31                           0.00                  0                   0   \n",
       "32                           0.00                  0                   0   \n",
       "33                           0.00                  0                   1   \n",
       "34                           2.71                  7                   7   \n",
       "35                           5.00                  1                   2   \n",
       "36                           3.85                 13                  22   \n",
       "37                           5.00                  1                   2   \n",
       "38                           0.00                  0                   0   \n",
       "39                           3.88                  8                   6   \n",
       "40                           4.00                  3                   4   \n",
       "41                           4.75                  4                   3   \n",
       "42                           5.00                  1                   3   \n",
       "43                           0.00                  0                   3   \n",
       "44                           1.67                  3                   2   \n",
       "45                           3.67                 49                 240   \n",
       "46                           0.00                  0                   2   \n",
       "47                           1.33                  6                  11   \n",
       "48                           5.00                  1                   3   \n",
       "49                           4.92                 13                   2   \n",
       "\n",
       "          Pi  \n",
       "0   0.012813  \n",
       "1   0.047259  \n",
       "2   0.021226  \n",
       "3   0.010137  \n",
       "4   0.001814  \n",
       "5   0.062476  \n",
       "6   0.003810  \n",
       "7   0.003583  \n",
       "8   0.001678  \n",
       "9   0.043404  \n",
       "10  0.004241  \n",
       "11  0.000998  \n",
       "12  0.007121  \n",
       "13  0.003424  \n",
       "14  0.000612  \n",
       "15  0.005306  \n",
       "16  0.148990  \n",
       "17  0.001179  \n",
       "18  0.052679  \n",
       "19  0.020727  \n",
       "20  0.456380  \n",
       "21  0.173549  \n",
       "22  0.220491  \n",
       "23  0.013652  \n",
       "24  0.196068  \n",
       "25  1.000000  \n",
       "26  0.002381  \n",
       "27  0.028460  \n",
       "28  0.004603  \n",
       "29  0.031907  \n",
       "30  0.027371  \n",
       "31  0.002699  \n",
       "32  0.000862  \n",
       "33  0.001701  \n",
       "34  0.016056  \n",
       "35  0.009592  \n",
       "36  0.017280  \n",
       "37  0.002200  \n",
       "38  0.000159  \n",
       "39  0.005873  \n",
       "40  0.008164  \n",
       "41  0.006350  \n",
       "42  0.002925  \n",
       "43  0.006622  \n",
       "44  0.004354  \n",
       "45  0.202735  \n",
       "46  0.001792  \n",
       "47  0.023743  \n",
       "48  0.007484  \n",
       "49  0.039254  "
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(25, 44097),\n",
       " (20, 20125),\n",
       " (22, 9723),\n",
       " (45, 8940),\n",
       " (24, 8646),\n",
       " (21, 7653),\n",
       " (16, 6570),\n",
       " (5, 2755),\n",
       " (18, 2323),\n",
       " (1, 2084),\n",
       " (9, 1914),\n",
       " (49, 1731),\n",
       " (29, 1407),\n",
       " (27, 1255),\n",
       " (30, 1207),\n",
       " (47, 1047),\n",
       " (2, 936),\n",
       " (19, 914),\n",
       " (36, 762),\n",
       " (34, 708),\n",
       " (23, 602),\n",
       " (0, 565),\n",
       " (3, 447),\n",
       " (35, 423),\n",
       " (40, 360),\n",
       " (48, 330),\n",
       " (12, 314),\n",
       " (43, 292),\n",
       " (41, 280),\n",
       " (39, 259),\n",
       " (15, 234),\n",
       " (28, 203),\n",
       " (44, 192),\n",
       " (10, 187),\n",
       " (6, 168),\n",
       " (7, 158),\n",
       " (13, 151),\n",
       " (42, 129),\n",
       " (31, 119),\n",
       " (26, 105),\n",
       " (37, 97),\n",
       " (4, 80),\n",
       " (46, 79),\n",
       " (33, 75),\n",
       " (8, 74),\n",
       " (17, 52),\n",
       " (11, 44),\n",
       " (32, 38),\n",
       " (14, 27),\n",
       " (38, 7)]"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#sorted([row['views'] for index, row in df.iterrows()], key=lambda x: x[1], reverse=True)\n",
    "vids3 = sorted([(index,row['views']) for index, row in df.iterrows()], key=lambda x: x[1], reverse=True)\n",
    "vids3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[44097,\n",
       " 20125,\n",
       " 9723,\n",
       " 8940,\n",
       " 8646,\n",
       " 7653,\n",
       " 6570,\n",
       " 2755,\n",
       " 2323,\n",
       " 2084,\n",
       " 1914,\n",
       " 1731,\n",
       " 1407,\n",
       " 1255,\n",
       " 1207,\n",
       " 1047,\n",
       " 936,\n",
       " 914,\n",
       " 762,\n",
       " 708,\n",
       " 602,\n",
       " 565,\n",
       " 447,\n",
       " 423,\n",
       " 360,\n",
       " 330,\n",
       " 314,\n",
       " 292,\n",
       " 280,\n",
       " 259,\n",
       " 234,\n",
       " 203,\n",
       " 192,\n",
       " 187,\n",
       " 168,\n",
       " 158,\n",
       " 151,\n",
       " 129,\n",
       " 119,\n",
       " 105,\n",
       " 97,\n",
       " 80,\n",
       " 79,\n",
       " 75,\n",
       " 74,\n",
       " 52,\n",
       " 44,\n",
       " 38,\n",
       " 27,\n",
       " 7]"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lst = list()\n",
    "lst = [b for a,b in vids3]\n",
    "lst"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50]\n"
     ]
    }
   ],
   "source": [
    "krange = list(range(1,len(lst) + 1))\n",
    "print(krange)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x2bef81c6c18>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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1LWZmZgNTJT00o9m8Z6ZkB2BN35oDwFjS3VKvAkhqAcYDD5UKIuJ14HHgiGzV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\noJEkSc0z0EiSpOb9Br82ZXRfOo4bAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2bef7af5240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.plot(krange,lst)\n",
    "plt.xlabel('Rank')\n",
    "plt.ylabel('Number of views')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 0.94729684  0.46909183  1.00115453 -0.61092595  0.92170068 -0.05816396\n",
      "   1.40857548 -2.66626627 -2.60580196  1.70645506  0.0598769   0.58695552\n",
      "   1.95258386 -0.58434851  0.05227812 -0.0271746  -0.87848271 -0.17056802\n",
      "   0.38946828 -1.20282083  0.39153321 -0.75419866 -1.43372805 -0.82690073\n",
      "  -0.5132132   0.65046054 -0.77968724  0.05294815  0.44574308 -0.02649773\n",
      "   0.77866493  0.02541286  0.14700094  0.7429194  -0.81105169 -1.77753523\n",
      "  -0.19225271  0.1213036  -0.48875408 -1.03465145  0.77332018  1.20635718\n",
      "  -0.07757698  0.08924921  1.66056549  0.2845944  -1.34159463 -1.67160067\n",
      "  -1.31347646 -0.34864679  0.23036932 -0.65969956 -1.28685391  0.12806982\n",
      "   1.30327969  0.676675    0.5902247  -0.35708839 -1.59475668 -0.83244971\n",
      "   0.53106679 -0.9214789  -0.25576786 -1.96184117 -1.46243881 -0.27714077\n",
      "  -0.30989363 -0.07662866  0.48565302  1.03299212 -0.24838862  0.02786055\n",
      "  -0.32477735  0.6992962  -0.42289343 -0.09306609 -0.01258436  0.74099279\n",
      "  -0.53242132  0.46907114  1.01168721  0.01012836  0.17324436  1.42620656\n",
      "   0.49350766 -0.2556211   0.68297439 -0.62317906 -0.36468559  0.92255132\n",
      "   0.36889287 -1.20631449  0.684765   -0.16585046 -0.72872202  0.57842877\n",
      "   0.54482401  0.91351162  0.10329881  0.14555765]]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "x = np.random.randn(1,100)\n",
    "print(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2bef7b14438>]"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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MzMzKUe2X9uPAecBsoA34CXCzpFkAks4DPgF8FJgDbAaWSmrKreMy4N3A+4B5wP7A9wvb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\nhxAzMzMrhUOImZmZlcIhxMzMzErx/wO//98MQjaQPQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2bef7748eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.linspace(0,1, len(krange)), lst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[341,\n",
       " 45,\n",
       " 285,\n",
       " 421,\n",
       " 906,\n",
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       " 840,\n",
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       " 75,\n",
       " 424,\n",
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       " 558,\n",
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       " 929,\n",
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       " 920,\n",
       " 68,\n",
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       " 207,\n",
       " 587,\n",
       " 211,\n",
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       " 835,\n",
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       " 110,\n",
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       " 315,\n",
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       " 796,\n",
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       " 706,\n",
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       " 109,\n",
       " 345,\n",
       " 67,\n",
       " 798,\n",
       " 256,\n",
       " 16,\n",
       " 692,\n",
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       " 117,\n",
       " 327,\n",
       " 887,\n",
       " 916,\n",
       " 638,\n",
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       " 263,\n",
       " 988,\n",
       " 210,\n",
       " 949,\n",
       " 656,\n",
       " 12,\n",
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       " 409,\n",
       " 436,\n",
       " 827,\n",
       " 750,\n",
       " 294]"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import random\n",
    "lst = list()\n",
    "for i in range(1000):\n",
    "    lst.append(random.randint(0,999))\n",
    "lst    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "622"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lst.sort()\n",
    "len(set(lst))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
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       " 403,\n",
       " 322,\n",
       " 506,\n",
       " 649,\n",
       " 981,\n",
       " 219,\n",
       " 839,\n",
       " 670,\n",
       " 330,\n",
       " 115,\n",
       " 814,\n",
       " 88,\n",
       " 5,\n",
       " 3,\n",
       " 591,\n",
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       " 825,\n",
       " 304,\n",
       " 275,\n",
       " 228,\n",
       " 343,\n",
       " 816,\n",
       " 714]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lst2 = list()\n",
    "for i in range(1000):\n",
    "    temp = random.randint(0,999)\n",
    "    while temp in lst2:\n",
    "        temp = random.randint(0,999)\n",
    "    lst2.append(temp)\n",
    "lst2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1000"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(set(lst2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[459,\n",
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       " 966,\n",
       " 199,\n",
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       " 761,\n",
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       " 463,\n",
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       " 364,\n",
       " 266,\n",
       " 362,\n",
       " 251,\n",
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       " 461,\n",
       " 39,\n",
       " 639,\n",
       " 581,\n",
       " 608,\n",
       " 4,\n",
       " 772,\n",
       " 717,\n",
       " 282,\n",
       " 144,\n",
       " 307,\n",
       " 16,\n",
       " 964,\n",
       " 845,\n",
       " 616,\n",
       " 509,\n",
       " 302,\n",
       " 8,\n",
       " 812,\n",
       " 312,\n",
       " 359,\n",
       " 808,\n",
       " 549,\n",
       " 284,\n",
       " 143,\n",
       " 711,\n",
       " 935,\n",
       " 319,\n",
       " 278,\n",
       " 701,\n",
       " 777,\n",
       " 903,\n",
       " 515,\n",
       " 838,\n",
       " 987,\n",
       " 429,\n",
       " 145,\n",
       " 623,\n",
       " 750,\n",
       " 65,\n",
       " 434,\n",
       " 636,\n",
       " 785,\n",
       " 95,\n",
       " 676,\n",
       " 285,\n",
       " 836,\n",
       " 428]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lst3 = list()\n",
    "lsttemp = list()\n",
    "for i in range(1000):\n",
    "    temp = random.randint(0,999)\n",
    "    while temp in lsttemp:\n",
    "        temp = random.randint(0,999)\n",
    "    lsttemp.append(temp)\n",
    "    if len(lsttemp) == 50:\n",
    "        lst3.extend(lsttemp)\n",
    "        del lsttemp[:]\n",
    "lst3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "623"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(set(lst3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lsttemp = list(range(10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lsttemp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "lsttemp.reverse()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[9, 8, 7, 6, 5, 4, 3, 2, 1, 0]"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lsttemp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sum=0\n",
    "for i in range(len(lsttemp)):\n",
    "    temp = lsttemp[i]\n",
    "    lsttemp[i] = lsttemp[i] + sum\n",
    "    sum += temp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[9, 17, 24, 30, 35, 39, 42, 44, 45, 45]"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lsttemp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>age</th>\n",
       "      <th>length</th>\n",
       "      <th>nviews</th>\n",
       "      <th>rating</th>\n",
       "      <th>nratings</th>\n",
       "      <th>ncomments</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>IoHxJX92FEg</td>\n",
       "      <td>1132</td>\n",
       "      <td>217</td>\n",
       "      <td>1157</td>\n",
       "      <td>3.6</td>\n",
       "      <td>5</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>P7GBN4FiNDg</td>\n",
       "      <td>1031</td>\n",
       "      <td>426</td>\n",
       "      <td>667</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>GAP-8FZw3uw</td>\n",
       "      <td>1131</td>\n",
       "      <td>237</td>\n",
       "      <td>1063</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>O3Xp3-RYSu8</td>\n",
       "      <td>1130</td>\n",
       "      <td>294</td>\n",
       "      <td>274</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>gujUKcGpQEo</td>\n",
       "      <td>1072</td>\n",
       "      <td>109</td>\n",
       "      <td>48</td>\n",
       "      <td>5.0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            id   age  length  nviews  rating  nratings  ncomments\n",
       "0  IoHxJX92FEg  1132     217    1157     3.6         5          3\n",
       "1  P7GBN4FiNDg  1031     426     667     4.0         4          4\n",
       "2  GAP-8FZw3uw  1131     237    1063     0.0         0          1\n",
       "3  O3Xp3-RYSu8  1130     294     274     1.0         1          2\n",
       "4  gujUKcGpQEo  1072     109      48     5.0         2          1"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "df = pd.read_excel(\"lastlast.xlsx\")\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#df['age'] =df['age'].astype(int)\n",
    "#df['length'] =df['length'].astype(int)\n",
    "#df['nviews'] =df['nviews'].astype(int)\n",
    "#df['nratings'] =df['nratings'].astype(int)\n",
    "#df['ncomments'] =df['ncomments'].astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id           lFptybbietQ\n",
       "age                 1247\n",
       "length               176\n",
       "nviews              2199\n",
       "rating              4.93\n",
       "nratings             113\n",
       "ncomments             65\n",
       "Name: 800, dtype: object"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.ix[800]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#df.drop(df.columns[[7,8]], axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id           lFptybbietQ\n",
       "age                 1247\n",
       "length               176\n",
       "nviews              2199\n",
       "rating              4.93\n",
       "nratings             113\n",
       "ncomments             65\n",
       "Name: 800, dtype: object"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.ix[800]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "vidsdf = [(index,row['nviews'],row['nratings'],row['ncomments'],row['rating']) for index, row in df.iterrows()]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#print(vidsdf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#from operator import itemgetter\n",
    "#vidsdfsorted = sorted(vidsdf, key=lambda x: x[1], reverse=True)\n",
    "vidsdf.sort(key = lambda ele : ele[1], reverse=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#print(vidsdfsorted)\n",
    "#print(vidsdf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#nviewslst = [b for a,b,c,d in vidsdfsorted]\n",
    "nviewslst = [b for a,b,c,d,e in vidsdf]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#nviewslst.sort(reverse=True)\n",
    "#print(nviewslst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#nratingslst = [c for a,b,c,d in vidsdfsorted]\n",
    "nratingslst = [c for a,b,c,d,e in vidsdf]\n",
    "#print(nratingslst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#ncommentslst = [d for a,b,c,d in vidsdfsorted]\n",
    "ncommentslst = [d for a,b,c,d,e in vidsdf]\n",
    "#print(ncommentslst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ratingslst = [e for a,b,c,d,e in vidsdf]\n",
    "#print(ratingslst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "IPython.notebook.set_autosave_interval(10000)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Autosaving every 10 seconds\n"
     ]
    }
   ],
   "source": [
    "%autosave 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "krange = list(range(len(nviewslst)))\n",
    "#print(krange)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "t = np.linspace(0,1, len(krange))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from numpy import *\n",
    "import math\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3281256"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nviewslst[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dUZEkKWcGlUqcoyJJUu4MKpU4oiJJUu4MKpU4R0WSpNwZVCpxREWSpNwZVCpx\njookSbkzqFTSqxesXp13LyRJ6tYMKpU4R0WSpNwZVCrxzrSSJOXOoFKJQUWSpNwZVCrp2dOgIklS\nzgwqlTiiIklS7gwqlfTtC2+9lXcvJEnq1gwqlRhUJEnKnUGlEoOKJEm5M6hUstFGsHJl3r2QJKlb\nM6hU4oiKJEm5M6hUUgwqKeXdE0mSui2DSiV9+2av77yTbz8kSerGDCqVFIOKp38kScqNQaUSg4ok\nSblrUVCJiG9GxKMR8WZELImI/46IUQ3UnR0R/4iItyLinojYvmx9n4i4LCKWRsTyiLg5IoaU1Wwa\nEb+MiNqIeCMiroyI/mU1IyLijohYGRGLI+L8iKgqq9k5IuZExNsRsSgiTm3WzhpUJEnKXUtHVCYD\nlwB7Av8C9ALujoiNigURcRpwPPAFYA9gJTA7InqXfM/FwMeBQ4ApwBbALWXbugEYA0wt1E4BLi/Z\nThXwW6AnMBE4GjgGOLukZgAwG3gOGA+cCsyMiOOa3NONCrtkUJEkKTc9W1KcUppe+j4ijgFeBSYA\nDxaaTwLOSSndXqg5ClgCHAzcGBEDgc8Ch6eU/lCoORZYEBF7pJQejYgxwH7AhJTS/ELNCcAdEfH1\nlNLiwvodgI+mlJYCj0fEGcB5ETEzpbQGmEEWpj5XeL8gInYFvgpc2ejOOqIiSVLu3u8clU2ABLwO\nEBEjgWHA74oFKaU3gUeASYWm3cgCUmnNQuCFkpqJwBvFkFJwb2Fbe5bUPF4IKUWzgWpgp5KaOYWQ\nUlozOiKqG90zg4okSblrdVCJiCA7hfNgSunJQvMwsjCxpKx8SWEdwFBgVSHAVKoZRjZSUyeltJYs\nEJXWNLQdWljTsGJQ8e60kiTlpkWnfsr8FNgR2KuN+tKpnHLmmVQDnHMO/OIXANTU1FBTU5NrvyRJ\n6gxmzZrFrFmz6rXV1ta2+XZaFVQi4lJgOjA5pfRKyarFQJCNmpSOZAwF5pfU9I6IgWWjKkML64o1\n5VcB9QAGldXsXta1oSXriq9Dm6hp0EUXX8z43XeHL30Jjmt67q0kSd1JQ/94nzdvHhMmTGjT7bT4\n1E8hpHySbBLrC6XrUkrPkQWAqSX1A8nmlTxUaJoLrCmrGQ1sBTxcaHoY2KQw8bVoKlkIeqSkZmxE\nDC6pmQbUAk+W1EwphJzSmoUppcZjX1VVduWPc1QkScpNS++j8lPgSOAIYGVEDC0sfUvKLgZOj4hP\nRMRY4FqfVwAQAAAVs0lEQVTgJeA2qJtcexVwYUTsExETgF8Af0wpPVqoeYps0uvPI2L3iNiL7LLo\nWYUrfgDuJgsk1xXulbIfcA5waUppdaHmBmAV8IuI2DEiPg2cCPyoWTvcr59BRZKkHLX01M+/kU2W\n/X1Z+7FkgYSU0vkR0Y/sniebAA8AB6SUVpXUnwKsBW4G+gB3AV8p+84jgEvJrvZZV6g9qbgypbQu\nIg4EfkY2WrMSuBo4s6TmzYiYBlwGPAYsBWamlK5q1t4aVCRJylVL76PSrBGYlNJMYGYj698FTigs\nlWqWkd0HpbHtvAgc2ETNE8DejdVUZFCRJClXPuunMQYVSZJyZVBpTP/+BhVJknJkUGlMv37e8E2S\npBwZVBrjqR9JknJlUGmMQUWSpFwZVBpjUJEkKVcGlcYYVCRJypVBpTEGFUmScmVQaYxBRZKkXBlU\nGmNQkSQpVwaVxnjDN0mScmVQaUy/frBmDaxe3XStJElqcwaVxvTrl716d1pJknJhUGlM//7Z64oV\n+fZDkqRuyqDSmIEDs9fly/PthyRJ3ZRBpTEDBmSvb76Zbz8kSeqmDCqNKY6o1Nbm2w9Jkropg0pj\nNtsse3399Xz7IUlSN2VQaczGG0Pv3rB0ad49kSSpWzKoNCYCBg82qEiSlBODSlMGD4Z//jPvXkiS\n1C0ZVJriiIokSbkxqDRl880NKpIk5cSg0hRP/UiSlBuDSlOGDDGoSJKUE4NKU4pBZd26vHsiSVK3\nY1Bpyuabw9q1sGxZ3j2RJKnbMag0ZdCg7NW700qS1OEMKk0pBpXXXsu3H5IkdUMGlaZsuWX2+tJL\n+fZDkqRuyKDSlM02gz594OWX8+6JJEndjkGlKRGwxRYGFUmScmBQaY4ttzSoSJKUA4NKcxhUJEnK\nhUGlOQwqkiTlwqDSHMWgklLePZEkqVsxqDTHllvCW29BbW3ePZEkqVsxqDRH8V4qnv6RJKlDGVSa\nY6utstdnn823H5IkdTMGleYYMQI23RT+8pe8eyJJUrdiUGmOCBg1Cp5+Ou+eSJLUrRhUmmuHHeDJ\nJ/PuhSRJ3YpBpbl23BGeespLlCVJ6kAGleb64Adh+XL45z/z7okkSd2GQaW5tt8+e124MN9+SJLU\njRhUmmv0aOjVCx5/PO+eSJLUbRhUmqt3b9huO0dUJEnqQAaVlhg1Cv72t7x7IUlSt2FQaQmDiiRJ\nHcqg0hKjRsHzz8O77+bdE0mSugWDSkuMGgXr1vnMH0mSOkiLg0pETI6IX0fEyxGxLiIOaqDm7Ij4\nR0S8FRH3RMT2Zev7RMRlEbE0IpZHxM0RMaSsZtOI+GVE1EbEGxFxZUT0L6sZERF3RMTKiFgcEedH\nRFVZzc4RMSci3o6IRRFxakv3uc7o0dmrp38kSeoQrRlR6Q/8H/BlYL3btEbEacDxwBeAPYCVwOyI\n6F1SdjHwceAQYAqwBXBL2VfdAIwBphZqpwCXl2ynCvgt0BOYCBwNHAOcXVIzAJgNPAeMB04FZkbE\nca3Ybxg6FPr3h7//vVUflyRJLdOzpR9IKd0F3AUQEdFAyUnAOSml2ws1RwFLgIOBGyNiIPBZ4PCU\n0h8KNccCCyJij5TSoxExBtgPmJBSml+oOQG4IyK+nlJaXFi/A/DRlNJS4PGIOAM4LyJmppTWADOA\nXsDnCu8XRMSuwFeBK1u670TABz4Aixa1+KOSJKnl2nSOSkSMBIYBvyu2pZTeBB4BJhWadiMLSKU1\nC4EXSmomAm8UQ0rBvWQjOHuW1DxeCClFs4FqYKeSmjmFkFJaMzoiqlu1kzvuCH/9a6s+KkmSWqat\nJ9MOIwsTS8ralxTWAQwFVhUCTKWaYcCrpStTSmuB18tqGtoOLaxpmXHjYP58H04oSVIHaPGpn+7i\nlFNOobq6/qBLTU0NNZMmwcyZ2R1qd9ghn85JkpSzWbNmMWvWrHpttbW1bb6dtg4qi4EgGzUpHckY\nCswvqekdEQPLRlWGFtYVa8qvAuoBDCqr2b1s+0NL1hVfhzZR06CLLrqI8ePHr7/izTehqgoeeMCg\nIknqtmpqaqipqanXNm/ePCZMmNCm22nTUz8ppefIAsDUYlth8uyewEOFprnAmrKa0cBWwMOFpoeB\nTQoTX4umkoWgR0pqxkbE4JKaaUAt8GRJzZRCyCmtWZhSal3sGzgQ9tgD7r23VR+XJEnN15r7qPSP\niHERsUuhadvC+xGF9xcDp0fEJyJiLHAt8BJwG9RNrr0KuDAi9omICcAvgD+mlB4t1DxFNun15xGx\ne0TsBVwCzCpc8QNwN1kgua5wr5T9gHOAS1NKqws1NwCrgF9ExI4R8WngROBHLd3veqZMyUZUnKci\nSVK7as2Iym5kp3Hmkk2c/REwDzgLIKV0PlmouJxs9GMj4ICU0qqS7zgFuB24Gfg98A+ye6qUOgJ4\niuxqn9uBOcAXiytTSuuAA4G1ZKM11wJXA2eW1LxJNoKyDfAYcAEwM6V0VSv2+z2TJ8Mrr3iHWkmS\n2llr7qPyB5oIOCmlmcDMRta/C5xQWCrVLCO7D0pj23mRLKw0VvMEsHdjNS22117ZPVUeeAC2265N\nv1qSJL3HZ/20xqabwtixWVCRJEntxqDSWrvtBnPn5t0LSZK6NINKa330o/DnP8MLL+TdE0mSuiyD\nSmtNn57NU7nvvrx7IklSl2VQaa1Bg7Lb6d9/f949kSSpyzKovB8f/Sj8/vfeT0WSpHZiUHk/9tkn\nm6PyzDN590SSpC7JoPJ+TJ0K/frBDTfk3RNJkrokg8r70b8/HHUU/OxnsGpV0/WSJKlFDCrv14kn\nwpIlcMstefdEkqQux6Dyfo0Zk81VufrqvHsiSVKXY1BpCwcfnF39s2xZ3j2RJKlLMai0hcMOgzVr\n4MYb8+6JJEldikGlLWyxBey3H1x1lfdUkSSpDRlU2sqXvwyPPgr33pt3TyRJ6jIMKm3l4x+HiRPh\n2992VEWSpDZiUGkrEXDuufC//wu33ZZ3byRJ6hIMKm1p332zu9WecQasXZt3byRJ2uAZVNrauefC\nE0/Af/1X3j2RJGmDZ1Bpa3vuCQcdBN/4Brz5Zt69kSRpg2ZQaQ8//jG8/np2CkiSJLWaQaU9bLMN\nfPe78JOfwOzZefdGkqQNlkGlvZx0UnYTuKOOgsWL8+6NJEkbJINKe6mqgmuuyV6POCK7xb4kSWoR\ng0p7GjoUbrgB5syBb34z795IkrTBMai0t49+FL73PfjhD+GWW/LujSRJG5SeeXegW/j612HePDjy\nSOjbN7vdviRJapIjKh2hOF/lgAPgkEPgd7/Lu0eSJG0QDCodpU+f7G61e+8NBx7o84AkSWoGg0pH\n6tMnCygf/zgcfDCcdRasW5d3ryRJ6rQMKh2tb1+48cbshnBnnQX/7/95q31JkiowqOShqgq+/W34\n9a/h/vth4kT429/y7pUkSZ2OQSVPBx4Ijz4KKcFuu2UTblPKu1eSJHUaBpW8jR4NjzwCn/wkHHMM\nfOIT8PTTefdKkqROwaDSGQwcCNddB7feCo8/DjvtBF/7WvYEZkmSujGDSmfyqU/BU0/Bd74DV1wB\n220H557rZFtJUrdlUOlsNtoITj8dnnkGZsyAs8+GbbaBc86BZcvy7p0kSR3KoNJZDR0Kl1wCzz4L\nn/lM9rygbbaBM8/0lJAkqdswqHR2W24JP/5xFlg++1m44AIYOTJ7GvMLL+TdO0mS2pVBZUMxfDhc\neCE89xx8/vPw05/C1lvD5MnZzy+/nHcPJUlqcwaVDc3QofDDH8JLL8G118KAAXDiifCBD8Aee2ST\nb594wvuxSJK6BIPKhmrAgGzuym9/C6++ml3evPXW8P3vw9ixsP322SXOc+bAmjV591aSpFYxqHQF\ngwZlVwjddBMsXQp33AH/8i9www3Z05qHDYOjjsrufPvss462SJI2GD3z7oDaWN++MH16tvzsZ9kt\n+m+7De68E66/PgspQ4fCRz8KkybBRz4C48ZBjx5591ySpPUYVLqyqqrsgYcTJ2anhF5/HR56CB58\nMDsldOutsGoVVFfDrrvCXntlr7vuml0KXeWAmyQpXwaV7mTQoOxBiAcemL1/5x343//NQstjj8GV\nV8KSJdm6jTeGD30Idt45m/NSXAYNyq//kqRux6DSnfXtm13ePHnye22LF8P8+dkzhx5/HP70J/jP\n/4TVq7P1W2yRPUixuOywA4waBSNGQK9e+eyHJKnLMqiovmHD4IADsqVo9Wr429/gL3+Bv/4VFi7M\nTiFdfXU2KgPZaaKtt86eTzRyZHbqaMQI2GqrbNlyS+jdO489kiRtwAwqalqvXtkTnXfaqX77unXZ\n3XH/9jd4/vns+UR//3t2GunWW+G1196rjchuWlceXrbcMmsfNixbNt44q5UkCYOK3o+qqmzkZJtt\nGl6/ciW8+GIWZoqvxWX+/Oxuum+/Xf8z/ftnwaW4DBuWnW7afPP1lwEDDDWS1MUZVNR++vfP5rDs\nsEPD61OC2lpYvJhZv/wlNTvuCK+8ki3/+Ec2X+aJJ7KfG3pydO/e2eTezTbLXqurs2WTTZr+uboa\n+vXr1kFn1qxZ1NTU5N2NbsVj3vE85hu+bhFUIuIrwNeBYcCfgRNSSv+bb69ERBYeNtmEWX/+MzXn\nnFO5dvXq7GZ2//xn/eWNN7L2N97IQs8LL2STgGtr31sq3eCuZ8/KIab8/cYbZ8Fr4MD3fi5dNsD5\nN/4F3vE85h3PY77h6/JBJSI+DfwI+ALwKHAKMDsiRqWUlubaOTVfr17vnQ5qiXXrYMWK90LLsmUN\n/1z6/umn669bsaJ5/SsNLsUws9FG2dKv33s/F98X20rX9e1bv660rW9f6NMn21Y3HgmS1L10+aBC\nFkwuTyldCxAR/wZ8HPgscH6eHVMHqKrKRkEGDswm8rbG2rXw1ltZYHnzzex15cqGl/J1b7+dfXbx\n4uz17bffayv+XD5PpykRWWDp0ycLL8Wl2NanTzbCU/pzcSl9/9RTcM459deX1vXq9d774s/lr8Wf\nS9uLi2FKUhvo0kElInoBE4DvFdtSSiki7gUm5dYxbVh69Mgm7g4Y0PIRneZYty67zPudd7LQUnwt\nDTTvvpstpT8XP1P8+e23szsNr1qVtRVfV6x4733p8tJL2WMWinWrV2evbaVHj+z0Wml4aeh9c5fi\n95X/XPq+Oa/Fn6uq3ntfvlRaV95e+r6hn6uq6v+8alU2WldpfYQBTyrTpYMKMBjoASwpa18CjK7w\nmb4ACxYsaMduqVxtbS3z5s3LuxudS2lAage1p5zCvIsuqt+YUjaCtGpV9tTt1avf+7l0Wb26/mul\ntjVrsu9bu3b97yiuW7MmC2ultWvXZuGrdF3pa/l3FtuKP5fWNPS5nNQC8zbdtPGiiPdCSzHIwHs/\nN7S+vK0YeJr6uTm1pUuxvdif5q4rri9f11Bt8Rg0tjRU09B3R1D75z8z7wtfqP+58s831d7cn1vz\nmfL/9g3Vldc01OeGvqM5NW2xnZLaBS++WKzoSxuJ1IWfpBsRw4GXgUkppUdK2n8ATEkprTeqEhFH\nAL/suF5KktTlHJlSuqEtvqirj6gsBdYCQ8vahwKLK3xmNnAk8DzwTrv1TJKkrqcvsA3Z79I20aVH\nVAAi4k/AIymlkwrvA3gB+ElK6YJcOydJkhrV1UdUAC4Ero6Iubx3eXI/4Oo8OyVJkprW5YNKSunG\niBgMnE12yuf/gP1SSv/Mt2eSJKkpXf7UjyRJ2nBV5d0BSZKkSgwqkiSp0+qWQSUivhIRz0XE2xHx\np4jYvYn6fSJibkS8ExF/i4ijO6qvXUVLjnlEfCoi7o6IVyOiNiIeiohpHdnfrqClf85LPrdXRKyO\nCO/A10Kt+Luld0ScGxHPF/5+eTYijumg7nYJrTjmR0bE/0XEyoj4R0RcFRGDOqq/G7KImBwRv46I\nlyNiXUQc1IzPvO/fn90uqJQ8pPBMYFeypynPLky4bah+G+B24HfAOODHwJUR8bGO6G9X0NJjDkwB\n7gYOAMYD9wO/iYhxHdDdLqEVx7z4uWrgGuDedu9kF9PKY34T8FHgWGAUUAMsbOeudhmt+Pt8L7I/\n3z8HdgQOBfYAruiQDm/4+pNdkPJloMkJrm31+7PbTaatcF+VF8nuq7LeQwoLd7E9IKW0c0nbLKA6\npTS9g7q9QWvpMa/wHU8A/5VS+m779bTraO0xL/zZ/huwDvhkSml8R/S3K2jF3y37AzcA26aUlnVo\nZ7uIVhzzrwH/llL6YEnb8cC/p5S26qBudwkRsQ44OKX060Zq2uT3Z7caUSl5SOHvim0pS2qNPaRw\nIuv/63J2I/Uq0cpjXv4dAQwAXm+PPnY1rT3mEXEsMBI4q7372NW08ph/AngMOC0iXoqIhRFxQUS0\n2TNSurJWHvOHgRERcUDhO4YChwF3tG9vu602+f3ZrYIKjT+kcFiFzwyrUD8wIvq0bfe6pNYc83Kn\nkg053tiG/erKWnzMI+KDZE8ZPzKltK59u9cltebP+bbAZGAn4GDgJLJTEZe1Ux+7mhYf85TSQ8AM\n4FcRsQp4BXgDOL4d+9mdtcnvz+4WVLSBKTwk8gzgsJTS0rz70xVFRBXZgzjPTCn9vdicY5e6iyqy\nU2xHpJQeSyndBXwVONp/BLWPiNiRbJ7ETLL5b/uRjSJenmO31IQuf2faMq15SOHiCvVvppTebdvu\ndUmtOeYARMThZJPcDk0p3d8+3euSWnrMBwC7AbtERPFf81VkZ91WAdNSSr9vp752Fa35c/4K8HJK\naUVJ2wKykPgB4O8NfkpFrTnm3wD+mFK6sPD+iYj4MvBARHw7pVT+r3+9P23y+7NbjaiklFYDc4Gp\nxbbC/IepwEMVPvZwaX3BtEK7mtDKY05E1ABXAYcX/qWpZmrFMX8T+BCwC9nM/HHAfwBPFX5+pJ27\nvMFr5Z/zPwJbRES/krbRZKMsL7VTV7uMVh7zfsCasrZ1ZFewOIrY9trm92dKqVstwL8CbwFHATuQ\nDfm9BmxeWP994JqS+m2A5cAPyP4S+TKwCviXvPdlQ1laccyPKBzjfyNL38VlYN77sqEsLT3mDXz+\nTGBe3vuxIS2t+HPeH1gE/AoYQ3ZZ/kLgP/Lelw1lacUxPxp4t/B3y0hgL7KH1T6U975sCEvhz+w4\nsn/UrANOLrwfUeF4t8nvz9x3PKeD/WXgeeBtsmS3W8m6/wTuK6ufQpbc3waeBj6T9z5saEtLjjnZ\nfVPWNrD8Iu/92JCWlv45L/usQaUDjjnZvVNmAysKoeV8oE/e+7EhLa045l8BHi8c85fI7qsyPO/9\n2BAWYO9CQGnw7+b2+v3Z7e6jIkmSNhzdao6KJEnasBhUJElSp2VQkSRJnZZBRZIkdVoGFUmS1GkZ\nVCRJUqdlUJEkSZ2WQUWSJHVaBhVJktRpGVQkSVKnZVCRJEmd1v8H1D1KzTnmkgIAAAAASUVORK5C\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e3c41cb898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t,nviewslst,'r', label='Number of views')\n",
    "plt.legend(loc='upper right')\n",
    "plt.ylim(0, 500000)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3076"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nratingslst[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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NGsXLL7/M8ccfz1VXXUVxcTETJkygZ8+evP/++6V1o0eP5s033+SMM87ge9/7HmvXruUv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\nISIiIqH4//rd5ywW0SptAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e3c5b2d9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t,nratingslst,'b', label='Number of ratings')\n",
    "plt.legend(loc='upper right')\n",
    "plt.ylim(0, 6000)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1266"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ncommentslst[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gKOAL4KGw/bQHBuObVZLtr/tIjG0VERGRBIr1ORn3FKBOT6BnHssPAF39X9Hq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\nLT2NPjP6BD/nNagzUJZXnWh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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e3c3f66208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(t,ncommentslst,'g', label='Number of comments')\n",
    "plt.legend(loc='upper right')\n",
    "plt.ylim(0, 6000)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    }
   ],
   "source": [
    "print(ratingslst)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x78f17b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.patches as patches\n",
    "x = [6,9,4,7,3]\n",
    "y = [4,9,3,5,3]\n",
    "# build a rectangle in axes coords\n",
    "left, width = .25, .5\n",
    "bottom, height = .25, .5\n",
    "right = left + width\n",
    "top = bottom + height\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = fig.add_axes([0,0,1,1])\n",
    "\n",
    "# axes coordinates are 0,0 is bottom left and 1,1 is upper right\n",
    "p = patches.Rectangle(\n",
    "    (left, bottom), width, height,\n",
    "    fill=False, transform=ax.transAxes, clip_on=False\n",
    "    )\n",
    "\n",
    "ax.add_patch(p)\n",
    "\n",
    "ax.text(right, top, 'right top',\n",
    "        horizontalalignment='right',\n",
    "        verticalalignment='top',\n",
    "        transform=ax.transAxes)\n",
    "ax.set_axis_off()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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lWJUkSVK2DKuSJEnKlmFVkiRJ2TKsSpIkKVuGVUmSJGXLsCpJkqRs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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7b7cbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "x = [6,9,4,7,3]\n",
    "y = [4,9,3,5,3]\n",
    "plt.text(0.5, 0.25, 'Brackmard minimum')\n",
    "plt.plot(x, y, c = 'k')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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iIsKhRCIi4q3Gjx+PtZbOnTs7HSVJZGQkkZGRN0w7ffp0itdnrP3HuX/JX4kxV4HW1to5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\nNSgzxo4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7b427f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "X = np.linspace(-4, 4, 1024)\n",
    "Y = .25 * (X + 4.) * (X + 1.) * (X - 2.)\n",
    "plt.text(-0.5, -0.25, 'Brackmard minimum')\n",
    "plt.plot(X, Y, c = 'k')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Uy2ZnZxkZGQEYyczZputRd9WxJu0wYGlF2/aa+pIkSepJdUx3fga4MCLuBP4dGAYmgb+q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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x90f9128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.text(10.75, 10.75, 'PP=0.87 \\n SC=0.76')\n",
    "plt.scatter(x, y, c = 'k')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}