MTA.ipynb

{
 "metadata": {
  "name": "",
  "signature": "sha256:5b1dfa27cf44753192b586435b825e1677017167bdac113f8820e323d2bf3aae"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pandas as pd\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "%matplotlib inline\n",
      "import csv"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# MTA Data"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "f = file(\"turnstile/turnstile_140301.txt\").read()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 230
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "with open('turnstile_140621.txt', 'rb') as csvfile:\n",
      "    spamreader = csv.reader(csvfile, delimiter=',', quotechar='\"')\n",
      "    data = [row for row in spamreader]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 204
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print data[0]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "['A002', 'R051', '02-00-00', '06-14-14', '00:00:00', 'REGULAR', '004658374', '001585076', '06-14-14', '04:00:00', 'REGULAR', '004658428', '001585080', '06-14-14', '08:00:00', 'REGULAR', '004658445', '001585101', '06-14-14', '12:00:00', 'REGULAR', '004658555', '001585156', '06-14-14', '16:00:00', 'REGULAR', '004658792', '001585215', '06-14-14', '20:00:00', 'REGULAR', '004659129', '001585268', '06-15-14', '00:00:00', 'REGULAR', '004659301', '001585327', '06-15-14', '04:00:00', 'REGULAR', '004659332', '001585335                                                                                                                  ']\n"
       ]
      }
     ],
     "prompt_number": 202
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print len(data)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "29284\n"
       ]
      }
     ],
     "prompt_number": 203
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sta = [d for d in data if d[1]==\"R190\"]\n",
      "for row in sta:\n",
      "    print row"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "['R131', 'R190', '00-00-00', '02-22-14', '00:00:00', 'REGULAR', '000006620', '000002733', '02-22-14', '04:00:00', 'REGULAR', '000006812', '000002763', '02-22-14', '08:00:00', 'REGULAR', '000006889', '000002792', '02-22-14', '12:00:00', 'REGULAR', '000007232', '000002992', '02-22-14', '16:00:00', 'REGULAR', '000008046', '000003307', '02-22-14', '20:00:00', 'REGULAR', '000009072', '000003614', '02-23-14', '00:00:00', 'REGULAR', '000009688', '000003725', '02-23-14', '04:00:00', 'REGULAR', '000009909', '000003755                                                                                                                  ']\n",
        "['R131', 'R190', '00-00-00', '02-23-14', '04:00:00', 'RECOVR AUD', '000009909', '000003755', '02-23-14', '08:00:00', 'REGULAR', '000009976', '000003769', '02-23-14', '12:00:00', 'REGULAR', '000010226', '000003934', '02-23-14', '16:00:00', 'REGULAR', '000010905', '000004191', '02-23-14', '20:00:00', 'REGULAR', '000011709', '000004431', '02-24-14', '00:00:00', 'REGULAR', '000012096', '000004493', '02-24-14', '04:00:00', 'REGULAR', '000012182', '000004504', '02-24-14', '04:00:00', 'RECOVR AUD', '000012182', '000004504                                                                                                            ']\n",
        "['R131', 'R190', '00-00-00', '02-24-14', '08:00:00', 'REGULAR', '000012361', '000004597', '02-24-14', '12:00:00', 'REGULAR', '000013030', '000005094', '02-24-14', '16:00:00', 'REGULAR', '000013928', '000005441', '02-24-14', '20:00:00', 'REGULAR', '000015391', '000005924', '02-25-14', '00:00:00', 'REGULAR', '000016096', '000006069', '02-25-14', '04:00:00', 'REGULAR', '000016184', '000006079', '02-25-14', '04:00:00', 'RECOVR AUD', '000016184', '000006079', '02-25-14', '08:00:00', 'REGULAR', '000016351', '000006168                                                                                                               ']\n",
        "['R131', 'R190', '00-00-00', '02-25-14', '12:00:00', 'REGULAR', '000017012', '000006633', '02-25-14', '16:00:00', 'REGULAR', '000017955', '000006985', '02-25-14', '20:00:00', 'REGULAR', '000019558', '000007593', '02-26-14', '00:00:00', 'REGULAR', '000020305', '000007743', '02-26-14', '04:00:00', 'REGULAR', '000020405', '000007762', '02-26-14', '08:00:00', 'REGULAR', '000020574', '000007859', '02-26-14', '12:00:00', 'REGULAR', '000021287', '000008373', '02-26-14', '16:00:00', 'REGULAR', '000022180', '000008756                                                                                                                  ']\n",
        "['R131', 'R190', '00-00-00', '02-26-14', '20:00:00', 'REGULAR', '000023814', '000009261', '02-27-14', '00:00:00', 'REGULAR', '000024562', '000009414', '02-27-14', '04:00:00', 'RECOVR AUD', '000024656', '000009426', '02-27-14', '07:56:37', 'REGULAR', '000024786', '000009504', '02-27-14', '08:00:00', 'REGULAR', '000024798', '000009522', '02-27-14', '12:00:00', 'REGULAR', '000025518', '000010018', '02-27-14', '16:00:00', 'REGULAR', '000026430', '000010434', '02-27-14', '20:00:00', 'REGULAR', '000028046', '000011052                                                                                                               ']\n",
        "['R131', 'R190', '00-00-00', '02-28-14', '00:00:00', 'REGULAR', '000028846', '000011196', '02-28-14', '04:00:00', 'REGULAR', '000028980', '000011205', '02-28-14', '04:00:00', 'RECOVR AUD', '000028980', '000011205', '02-28-14', '08:00:00', 'REGULAR', '000029148', '000011288', '02-28-14', '12:00:00', 'REGULAR', '000029857', '000011778', '02-28-14', '16:00:00', 'REGULAR', '000030831', '000012117', '02-28-14', '20:00:00', 'REGULAR', '000032412', '000012561                                                                                                                                                             ']\n",
        "['R131', 'R190', '00-00-01', '02-22-14', '00:00:00', 'REGULAR', '001912346', '000726489', '02-22-14', '04:00:00', 'REGULAR', '001912483', '000726509', '02-22-14', '08:00:00', 'REGULAR', '001912535', '000726534', '02-22-14', '12:00:00', 'REGULAR', '001912736', '000726690', '02-22-14', '16:00:00', 'REGULAR', '001913264', '000726989', '02-22-14', '20:00:00', 'REGULAR', '001914007', '000727267', '02-23-14', '00:00:00', 'REGULAR', '001914442', '000727352', '02-23-14', '04:00:00', 'REGULAR', '001914584', '000727380                                                                                                                  ']\n",
        "['R131', 'R190', '00-00-01', '02-23-14', '04:00:00', 'RECOVR AUD', '001914584', '000727380', '02-23-14', '08:00:00', 'REGULAR', '001914630', '000727394', '02-23-14', '12:00:00', 'REGULAR', '001914797', '000727485', '02-23-14', '16:00:00', 'REGULAR', '001915253', '000727700', '02-23-14', '20:00:00', 'REGULAR', '001915825', '000727876', '02-24-14', '00:00:00', 'REGULAR', '001916103', '000727922', '02-24-14', '04:00:00', 'REGULAR', '001916142', '000727927', '02-24-14', '04:00:00', 'RECOVR AUD', '001916142', '000727927                                                                                                            ']\n",
        "['R131', 'R190', '00-00-01', '02-24-14', '08:00:00', 'REGULAR', '001916222', '000728009', '02-24-14', '12:00:00', 'REGULAR', '001916637', '000728400', '02-24-14', '16:00:00', 'REGULAR', '001917392', '000728725', '02-24-14', '20:00:00', 'REGULAR', '001918724', '000729109', '02-25-14', '00:00:00', 'REGULAR', '001919189', '000729176', '02-25-14', '04:00:00', 'REGULAR', '001919244', '000729179', '02-25-14', '04:00:00', 'RECOVR AUD', '001919244', '000729179', '02-25-14', '08:00:00', 'REGULAR', '001919349', '000729253                                                                                                               ']\n",
        "['R131', 'R190', '00-00-01', '02-25-14', '12:00:00', 'REGULAR', '001919799', '000729680', '02-25-14', '16:00:00', 'REGULAR', '001920538', '000729975', '02-25-14', '20:00:00', 'REGULAR', '001921779', '000730395', '02-26-14', '00:00:00', 'REGULAR', '001922330', '000730477', '02-26-14', '04:00:00', 'REGULAR', '001922403', '000730487', '02-26-14', '08:00:00', 'REGULAR', '001922498', '000730573', '02-26-14', '12:00:00', 'REGULAR', '001922953', '000731048', '02-26-14', '16:00:00', 'REGULAR', '001923616', '000731399                                                                                                                  ']\n",
        "['R131', 'R190', '00-00-01', '02-26-14', '20:00:00', 'REGULAR', '001924761', '000731711', '02-27-14', '00:00:00', 'REGULAR', '001925295', '000731791', '02-27-14', '04:00:00', 'RECOVR AUD', '001925373', '000731795', '02-27-14', '07:56:37', 'REGULAR', '001925464', '000731859', '02-27-14', '08:00:00', 'REGULAR', '001925474', '000731876', '02-27-14', '12:00:00', 'REGULAR', '001925934', '000732355', '02-27-14', '16:00:00', 'REGULAR', '001926702', '000732647', '02-27-14', '20:00:00', 'REGULAR', '001927996', '000733062                                                                                                               ']\n",
        "['R131', 'R190', '00-00-01', '02-28-14', '00:00:00', 'REGULAR', '001928587', '000733186', '02-28-14', '04:00:00', 'REGULAR', '001928657', '000733195', '02-28-14', '04:00:00', 'RECOVR AUD', '001928657', '000733195', '02-28-14', '08:00:00', 'REGULAR', '001928734', '000733270', '02-28-14', '12:00:00', 'REGULAR', '001929200', '000733662', '02-28-14', '16:00:00', 'REGULAR', '001929972', '000733927', '02-28-14', '20:00:00', 'REGULAR', '001931169', '000734382                                                                                                                                                             ']\n",
        "['R131', 'R190', '00-00-02', '02-22-14', '00:00:00', 'REGULAR', '008805821', '003673903', '02-22-14', '04:00:00', 'REGULAR', '008805947', '003673934', '02-22-14', '08:00:00', 'REGULAR', '008806006', '003673981', '02-22-14', '12:00:00', 'REGULAR', '008806260', '003674247', '02-22-14', '16:00:00', 'REGULAR', '008806896', '003674581', '02-22-14', '20:00:00', 'REGULAR', '008807661', '003674848', '02-23-14', '00:00:00', 'REGULAR', '008808052', '003674979', '02-23-14', '04:00:00', 'REGULAR', '008808190', '003675032                                                                                                                  ']\n",
        "['R131', 'R190', '00-00-02', '02-23-14', '04:00:00', 'RECOVR AUD', '008808190', '003675032', '02-23-14', '08:00:00', 'REGULAR', '008808236', '003675054', '02-23-14', '12:00:00', 'REGULAR', '008808382', '003675208', '02-23-14', '16:00:00', 'REGULAR', '008808884', '003675455', '02-23-14', '20:00:00', 'REGULAR', '008809533', '003675635', '02-24-14', '00:00:00', 'REGULAR', '008809808', '003675714', '02-24-14', '04:00:00', 'REGULAR', '008809850', '003675718', '02-24-14', '04:00:00', 'RECOVR AUD', '008809850', '003675718                                                                                                            ']\n",
        "['R131', 'R190', '00-00-02', '02-24-14', '08:00:00', 'REGULAR', '008809973', '003675830', '02-24-14', '12:00:00', 'REGULAR', '008810483', '003676355', '02-24-14', '16:00:00', 'REGULAR', '008811335', '003676653', '02-24-14', '20:00:00', 'REGULAR', '008812775', '003676977', '02-25-14', '00:00:00', 'REGULAR', '008813285', '003677072', '02-25-14', '04:00:00', 'REGULAR', '008813349', '003677087', '02-25-14', '04:00:00', 'RECOVR AUD', '008813349', '003677087', '02-25-14', '08:00:00', 'REGULAR', '008813482', '003677201                                                                                                               ']\n",
        "['R131', 'R190', '00-00-02', '02-25-14', '12:00:00', 'REGULAR', '008813995', '003677719', '02-25-14', '16:00:00', 'REGULAR', '008814861', '003678017', '02-25-14', '20:00:00', 'REGULAR', '008816298', '003678367', '02-26-14', '00:00:00', 'REGULAR', '008816869', '003678484', '02-26-14', '04:00:00', 'REGULAR', '008816948', '003678498', '02-26-14', '04:00:00', 'RECOVR AUD', '008816948', '003678498', '02-26-14', '08:00:00', 'REGULAR', '008817047', '003678650', '02-26-14', '12:00:00', 'REGULAR', '008817629', '003679201                                                                                                               ']\n",
        "['R131', 'R190', '00-00-02', '02-26-14', '16:00:00', 'REGULAR', '008818381', '003679508', '02-26-14', '20:00:00', 'REGULAR', '008819810', '003679927', '02-27-14', '00:00:00', 'REGULAR', '008820401', '003680044', '02-27-14', '04:00:00', 'RECOVR AUD', '008820469', '003680057', '02-27-14', '07:56:37', 'REGULAR', '008820607', '003680164', '02-27-14', '08:00:00', 'REGULAR', '008820615', '003680200', '02-27-14', '12:00:00', 'REGULAR', '008821112', '003680753', '02-27-14', '16:00:00', 'REGULAR', '008821976', '003681086                                                                                                               ']\n",
        "['R131', 'R190', '00-00-02', '02-27-14', '20:00:00', 'REGULAR', '008823355', '003681523', '02-28-14', '00:00:00', 'REGULAR', '008823996', '003681662', '02-28-14', '04:00:00', 'REGULAR', '008824079', '003681679', '02-28-14', '04:00:00', 'RECOVR AUD', '008824079', '003681679', '02-28-14', '08:00:00', 'REGULAR', '008824197', '003681805', '02-28-14', '12:00:00', 'REGULAR', '008824725', '003682355', '02-28-14', '16:00:00', 'REGULAR', '008825673', '003682596', '02-28-14', '20:00:00', 'REGULAR', '008826996', '003682969                                                                                                               ']\n",
        "['R132', 'R190', '01-00-00', '02-22-14', '00:00:00', 'REGULAR', '002474370', '010550395', '02-22-14', '04:00:00', 'REGULAR', '002474389', '010550443', '02-22-14', '04:00:00', 'RECOVR AUD', '002474389', '010550443', '02-22-14', '08:00:00', 'REGULAR', '002474397', '010550541', '02-22-14', '12:00:00', 'REGULAR', '002474468', '010551034', '02-22-14', '16:00:00', 'REGULAR', '002474604', '010551727', '02-22-14', '20:00:00', 'REGULAR', '002474806', '010552313', '02-23-14', '00:00:00', 'REGULAR', '002474899', '010552609                                                                                                               ']\n",
        "['R132', 'R190', '01-00-00', '02-23-14', '04:00:00', 'REGULAR', '002474914', '010552672', '02-23-14', '04:00:00', 'RECOVR AUD', '002474914', '010552672', '02-23-14', '08:00:00', 'REGULAR', '002474922', '010552738', '02-23-14', '12:00:00', 'REGULAR', '002474955', '010553119', '02-23-14', '16:00:00', 'REGULAR', '002475057', '010553660', '02-23-14', '20:00:00', 'REGULAR', '002475173', '010554040', '02-24-14', '00:00:00', 'REGULAR', '002475247', '010554194', '02-24-14', '04:00:00', 'REGULAR', '002475249', '010554216                                                                                                               ']\n",
        "['R132', 'R190', '01-00-00', '02-24-14', '04:00:00', 'RECOVR AUD', '002475249', '010554216', '02-24-14', '08:00:00', 'REGULAR', '002475287', '010554503', '02-24-14', '12:00:00', 'REGULAR', '002475438', '010555538', '02-24-14', '16:00:00', 'REGULAR', '002475608', '010556161', '02-24-14', '20:00:00', 'REGULAR', '002475976', '010557103', '02-25-14', '00:00:00', 'REGULAR', '002476103', '010557324', '02-25-14', '04:00:00', 'REGULAR', '002476108', '010557343', '02-25-14', '08:00:00', 'REGULAR', '002476145', '010557619                                                                                                               ']\n",
        "['R132', 'R190', '01-00-00', '02-25-14', '12:00:00', 'REGULAR', '002476321', '010558706', '02-25-14', '16:00:00', 'REGULAR', '002476530', '010559312', '02-25-14', '20:00:00', 'REGULAR', '002476874', '010560145', '02-26-14', '00:00:00', 'REGULAR', '002476995', '010560444', '02-26-14', '04:00:00', 'REGULAR', '002477003', '010560464', '02-26-14', '04:00:00', 'RECOVR AUD', '002477003', '010560464', '02-26-14', '08:00:00', 'REGULAR', '002477055', '010560775', '02-26-14', '12:00:00', 'REGULAR', '002477206', '010561816                                                                                                               ']\n",
        "['R132', 'R190', '01-00-00', '02-26-14', '16:00:00', 'REGULAR', '002477384', '010562326', '02-26-14', '20:00:00', 'REGULAR', '002477729', '010563254', '02-27-14', '00:00:00', 'REGULAR', '002477865', '010563528', '02-27-14', '04:00:00', 'RECOVR AUD', '002477867', '010563549', '02-27-14', '07:58:04', 'REGULAR', '002477896', '010563845', '02-27-14', '07:59:34', 'REGULAR', '002477899', '010563866', '02-27-14', '08:00:00', 'REGULAR', '002477899', '010563866', '02-27-14', '12:00:00', 'REGULAR', '002478072', '010564841                                                                                                               ']\n",
        "['R132', 'R190', '01-00-00', '02-27-14', '16:00:00', 'REGULAR', '002478280', '010565500', '02-27-14', '20:00:00', 'REGULAR', '002478611', '010566483', '02-28-14', '00:00:00', 'REGULAR', '002478724', '010566748', '02-28-14', '04:00:00', 'REGULAR', '002478727', '010566778', '02-28-14', '08:00:00', 'REGULAR', '002478758', '010567074', '02-28-14', '12:00:00', 'REGULAR', '002478921', '010568089', '02-28-14', '16:00:00', 'REGULAR', '002479146', '010568788', '02-28-14', '20:00:00', 'REGULAR', '002479514', '010569612                                                                                                                  ']\n",
        "['R132', 'R190', '01-00-01', '02-22-14', '00:00:00', 'REGULAR', '004168999', '005282002', '02-22-14', '04:00:00', 'REGULAR', '004169035', '005282026', '02-22-14', '04:00:00', 'RECOVR AUD', '004169035', '005282026', '02-22-14', '08:00:00', 'REGULAR', '004169050', '005282075', '02-22-14', '12:00:00', 'REGULAR', '004169161', '005282314', '02-22-14', '16:00:00', 'REGULAR', '004169428', '005282726', '02-22-14', '20:00:00', 'REGULAR', '004169738', '005283039', '02-23-14', '00:00:00', 'REGULAR', '004169885', '005283191                                                                                                               ']\n",
        "['R132', 'R190', '01-00-01', '02-23-14', '04:00:00', 'REGULAR', '004169917', '005283216', '02-23-14', '04:00:00', 'RECOVR AUD', '004169917', '005283216', '02-23-14', '08:00:00', 'REGULAR', '004169924', '005283249', '02-23-14', '12:00:00', 'REGULAR', '004170010', '005283438', '02-23-14', '16:00:00', 'REGULAR', '004170189', '005283714', '02-23-14', '20:00:00', 'REGULAR', '004170383', '005283924', '02-24-14', '00:00:00', 'REGULAR', '004170468', '005283979', '02-24-14', '04:00:00', 'REGULAR', '004170477', '005283994                                                                                                               ']\n",
        "['R132', 'R190', '01-00-01', '02-24-14', '08:00:00', 'REGULAR', '004170524', '005284145', '02-24-14', '12:00:00', 'REGULAR', '004170819', '005284712', '02-24-14', '16:00:00', 'REGULAR', '004171103', '005284970', '02-24-14', '20:00:00', 'REGULAR', '004171593', '005285397', '02-25-14', '00:00:00', 'REGULAR', '004171778', '005285502', '02-25-14', '04:00:00', 'REGULAR', '004171793', '005285508', '02-25-14', '08:00:00', 'REGULAR', '004171855', '005285656', '02-25-14', '12:00:00', 'REGULAR', '004172155', '005286204                                                                                                                  ']\n",
        "['R132', 'R190', '01-00-01', '02-25-14', '16:00:00', 'REGULAR', '004172435', '005286525', '02-25-14', '20:00:00', 'REGULAR', '004172921', '005286934', '02-26-14', '00:00:00', 'REGULAR', '004173113', '005287048', '02-26-14', '04:00:00', 'REGULAR', '004173129', '005287056', '02-26-14', '04:00:00', 'RECOVR AUD', '004173129', '005287056', '02-26-14', '08:00:00', 'REGULAR', '004173184', '005287234', '02-26-14', '12:00:00', 'REGULAR', '004173491', '005287833', '02-26-14', '16:00:00', 'REGULAR', '004173789', '005288107                                                                                                               ']\n",
        "['R132', 'R190', '01-00-01', '02-26-14', '20:00:00', 'REGULAR', '004174291', '005288533', '02-27-14', '00:00:00', 'REGULAR', '004174470', '005288649', '02-27-14', '04:00:00', 'RECOVR AUD', '004174482', '005288659', '02-27-14', '07:58:04', 'REGULAR', '004174525', '005288806', '02-27-14', '07:59:34', 'REGULAR', '004174527', '005288819', '02-27-14', '08:00:00', 'REGULAR', '004174529', '005288819', '02-27-14', '12:00:00', 'REGULAR', '004174823', '005289411', '02-27-14', '16:00:00', 'REGULAR', '004175122', '005289778                                                                                                               ']\n",
        "['R132', 'R190', '01-00-01', '02-27-14', '20:00:00', 'REGULAR', '004175648', '005290237', '02-28-14', '00:00:00', 'REGULAR', '004175856', '005290360', '02-28-14', '04:00:00', 'REGULAR', '004175874', '005290365', '02-28-14', '08:00:00', 'REGULAR', '004175929', '005290520', '02-28-14', '12:00:00', 'REGULAR', '004176197', '005291000', '02-28-14', '16:00:00', 'REGULAR', '004176528', '005291317', '02-28-14', '20:00:00', 'REGULAR', '004177044', '005291737                                                                                                                                                                ']\n",
        "['R132', 'R190', '01-00-02', '02-22-14', '00:00:00', 'REGULAR', '005135413', '008401907', '02-22-14', '04:00:00', 'RECOVR AUD', '005135444', '008401930', '02-22-14', '04:00:00', 'REGULAR', '005135444', '008401930', '02-22-14', '08:00:00', 'REGULAR', '005135455', '008401971', '02-22-14', '12:00:00', 'REGULAR', '005135536', '008402229', '02-22-14', '16:00:00', 'REGULAR', '005135749', '008402623', '02-22-14', '20:00:00', 'REGULAR', '005135999', '008402941', '02-23-14', '00:00:00', 'REGULAR', '005136131', '008403087                                                                                                               ']\n",
        "['R132', 'R190', '01-00-02', '02-23-14', '04:00:00', 'REGULAR', '005136159', '008403102', '02-23-14', '04:00:00', 'RECOVR AUD', '005136159', '008403102', '02-23-14', '08:00:00', 'REGULAR', '005136172', '008403137', '02-23-14', '12:00:00', 'REGULAR', '005136230', '008403316', '02-23-14', '16:00:00', 'REGULAR', '005136370', '008403614', '02-23-14', '20:00:00', 'REGULAR', '005136540', '008403848', '02-24-14', '00:00:00', 'REGULAR', '005136600', '008403923', '02-24-14', '04:00:00', 'REGULAR', '005136608', '008403932                                                                                                               ']\n",
        "['R132', 'R190', '01-00-02', '02-24-14', '08:00:00', 'REGULAR', '005136650', '008404096', '02-24-14', '12:00:00', 'REGULAR', '005136883', '008404589', '02-24-14', '16:00:00', 'REGULAR', '005137111', '008404931', '02-24-14', '20:00:00', 'REGULAR', '005137559', '008405338', '02-25-14', '00:00:00', 'REGULAR', '005137694', '008405447', '02-25-14', '04:00:00', 'REGULAR', '005137706', '008405453', '02-25-14', '08:00:00', 'REGULAR', '005137739', '008405603', '02-25-14', '12:00:00', 'REGULAR', '005137978', '008406203                                                                                                                  ']\n",
        "['R132', 'R190', '01-00-02', '02-25-14', '16:00:00', 'REGULAR', '005138202', '008406547', '02-25-14', '20:00:00', 'REGULAR', '005138631', '008406930', '02-26-14', '00:00:00', 'REGULAR', '005138767', '008407047', '02-26-14', '04:00:00', 'REGULAR', '005138769', '008407055', '02-26-14', '04:00:00', 'RECOVR AUD', '005138769', '008407055', '02-26-14', '08:00:00', 'REGULAR', '005138822', '008407236', '02-26-14', '12:00:00', 'REGULAR', '005139085', '008407764', '02-26-14', '16:00:00', 'REGULAR', '005139319', '008408007                                                                                                               ']\n",
        "['R132', 'R190', '01-00-02', '02-26-14', '20:00:00', 'REGULAR', '005139758', '008408437', '02-27-14', '00:00:00', 'REGULAR', '005139901', '008408559', '02-27-14', '04:00:00', 'RECOVR AUD', '005139915', '008408573', '02-27-14', '07:58:04', 'REGULAR', '005139958', '008408730', '02-27-14', '07:59:34', 'REGULAR', '005139958', '008408749', '02-27-14', '08:00:00', 'REGULAR', '005139959', '008408749', '02-27-14', '12:00:00', 'REGULAR', '005140217', '008409265', '02-27-14', '16:00:00', 'REGULAR', '005140484', '008409535                                                                                                               ']\n",
        "['R132', 'R190', '01-00-02', '02-27-14', '20:00:00', 'REGULAR', '005140878', '008410000', '02-28-14', '00:00:00', 'REGULAR', '005141035', '008410167', '02-28-14', '04:00:00', 'REGULAR', '005141050', '008410176', '02-28-14', '08:00:00', 'REGULAR', '005141085', '008410327', '02-28-14', '12:00:00', 'REGULAR', '005141333', '008410880', '02-28-14', '16:00:00', 'REGULAR', '005141594', '008411192', '02-28-14', '20:00:00', 'REGULAR', '005142067', '008411579                                                                                                                                                                ']\n",
        "['R132', 'R190', '01-00-03', '02-22-14', '00:00:00', 'REGULAR', '004992424', '009104131', '02-22-14', '04:00:00', 'RECOVR AUD', '004992462', '009104185', '02-22-14', '04:00:00', 'REGULAR', '004992462', '009104185', '02-22-14', '08:00:00', 'REGULAR', '004992472', '009104284', '02-22-14', '12:00:00', 'REGULAR', '004992573', '009104740', '02-22-14', '16:00:00', 'REGULAR', '004992829', '009105349', '02-22-14', '20:00:00', 'REGULAR', '004993185', '009105832', '02-23-14', '00:00:00', 'REGULAR', '004993335', '009106093                                                                                                               ']\n",
        "['R132', 'R190', '01-00-03', '02-23-14', '04:00:00', 'REGULAR', '004993368', '009106159', '02-23-14', '04:00:00', 'RECOVR AUD', '004993368', '009106159', '02-23-14', '08:00:00', 'REGULAR', '004993380', '009106241', '02-23-14', '12:00:00', 'REGULAR', '004993478', '009106615', '02-23-14', '16:00:00', 'REGULAR', '004993707', '009107138', '02-23-14', '20:00:00', 'REGULAR', '004993948', '009107541', '02-24-14', '00:00:00', 'REGULAR', '004994035', '009107673', '02-24-14', '04:00:00', 'REGULAR', '004994046', '009107688                                                                                                               ']\n",
        "['R132', 'R190', '01-00-03', '02-24-14', '08:00:00', 'REGULAR', '004994113', '009107994', '02-24-14', '12:00:00', 'REGULAR', '004994435', '009108775', '02-24-14', '16:00:00', 'REGULAR', '004994768', '009109270', '02-24-14', '20:00:00', 'REGULAR', '004995134', '009109906', '02-25-14', '00:00:00', 'REGULAR', '004995318', '009110111', '02-25-14', '04:00:00', 'REGULAR', '004995329', '009110126', '02-25-14', '08:00:00', 'REGULAR', '004995392', '009110419', '02-25-14', '09:47:51', 'DOOR OPEN', '004995613', '009110893                                                                                                                ']\n",
        "['R132', 'R190', '01-00-03', '02-25-14', '09:48:00', 'DOOR OPEN', '004995613', '009110893', '02-25-14', '09:53:09', 'DOOR CLOSE', '004995615', '009110893', '02-25-14', '12:00:00', 'REGULAR', '004995733', '009111231', '02-25-14', '16:00:00', 'REGULAR', '004996050', '009111737', '02-25-14', '20:00:00', 'REGULAR', '004996512', '009112408', '02-26-14', '00:00:00', 'REGULAR', '004996717', '009112656', '02-26-14', '04:00:00', 'REGULAR', '004996733', '009112683', '02-26-14', '04:00:00', 'RECOVR AUD', '004996733', '009112683                                                                                                          ']\n",
        "['R132', 'R190', '01-00-03', '02-26-14', '08:00:00', 'REGULAR', '004996800', '009112983', '02-26-14', '12:00:00', 'REGULAR', '004997103', '009113814', '02-26-14', '16:00:00', 'REGULAR', '004997415', '009114339', '02-26-14', '20:00:00', 'REGULAR', '004997952', '009114970', '02-27-14', '00:00:00', 'REGULAR', '004998156', '009115188', '02-27-14', '04:00:00', 'RECOVR AUD', '004998169', '009115210', '02-27-14', '07:58:04', 'REGULAR', '004998233', '009115499', '02-27-14', '07:59:34', 'REGULAR', '004998236', '009115513                                                                                                               ']\n",
        "['R132', 'R190', '01-00-03', '02-27-14', '08:00:00', 'REGULAR', '004998236', '009115513', '02-27-14', '12:00:00', 'REGULAR', '004998555', '009116212', '02-27-14', '16:00:00', 'REGULAR', '004998844', '009116728', '02-27-14', '20:00:00', 'REGULAR', '004999391', '009117383', '02-28-14', '00:00:00', 'REGULAR', '004999648', '009117616', '02-28-14', '04:00:00', 'REGULAR', '004999668', '009117642', '02-28-14', '08:00:00', 'REGULAR', '004999735', '009117934', '02-28-14', '12:00:00', 'REGULAR', '005000068', '009118698                                                                                                                  ']\n",
        "['R132', 'R190', '01-00-03', '02-28-14', '16:00:00', 'REGULAR', '005000332', '009119217', '02-28-14', '20:00:00', 'REGULAR', '005000729', '009119770                                                                                                                                                                                                                                                                                                                                                                                                      ']\n"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Field Descriptions"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print file(\"ts_Field Description.txt\").read()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Field Description\n",
        "\n",
        "C/A,UNIT,SCP,DATE1,TIME1,DESC1,ENTRIES1,EXITS1,DATE2,TIME2,DESC2,ENTRIES2,EXITS2,DATE3,TIME3,DESC3,ENTRIES3,EXITS3,DATE4,TIME4,DESC4,ENTRIES4,EXITS4,DATE5,TIME5,DESC5,ENTRIES5,EXITS5,DATE6,TIME6,DESC6,ENTRIES6,EXITS6,DATE7,TIME7,DESC7,ENTRIES7,EXITS7,DATE8,TIME8,DESC8,ENTRIES8,EXITS8\n",
        "\n",
        "\n",
        "C/A = Control Area (A002)\n",
        "UNIT = Remote Unit for a station (R051)\n",
        "SCP = Subunit Channel Position represents an specific address for a device (02-00-00)\n",
        "DATEn = Represents the date (MM-DD-YY)\n",
        "TIMEn = Represents the time (hh:mm:ss) for a scheduled audit event\n",
        "DEScn = Represent the \"REGULAR\" scheduled audit event (occurs every 4 hours)\n",
        "ENTRIESn = The comulative entry register value for a device\n",
        "EXISTn = The cumulative exit register value for a device\n",
        "\n",
        "\n",
        "\n",
        "Example:\n",
        "The data below shows the entry/exit register values for one turnstile at control area (A002) from 03/21/10 at 00:00 hours to 03/28/10 at 20:00 hours\n",
        "\n",
        "\n",
        "A002,R051,02-00-00,03-21-10,00:00:00,REGULAR,002670738,000917107,03-21-10,04:00:00,REGULAR,002670738,000917107,03-21-10,08:00:00,REGULAR,002670746,000917117,03-21-10,12:00:00,REGULAR,002670790,000917166,03-21-10,16:00:00,REGULAR,002670932,000917204,03-21-10,20:00:00,REGULAR,002671164,000917230,03-22-10,00:00:00,REGULAR,002671181,000917231,03-22-10,04:00:00,REGULAR,002671181,000917231\n",
        "A002,R051,02-00-00,03-22-10,08:00:00,REGULAR,002671220,000917324,03-22-10,12:00:00,REGULAR,002671364,000917640,03-22-10,16:00:00,REGULAR,002671651,000917719,03-22-10,20:00:00,REGULAR,002672430,000917789,03-23-10,00:00:00,REGULAR,002672473,000917795,03-23-10,04:00:00,REGULAR,002672474,000917795,03-23-10,08:00:00,REGULAR,002672516,000917876,03-23-10,12:00:00,REGULAR,002672652,000917934\n",
        "A002,R051,02-00-00,03-23-10,16:00:00,REGULAR,002672879,000917996,03-23-10,20:00:00,REGULAR,002673636,000918073,03-24-10,00:00:00,REGULAR,002673683,000918079,03-24-10,04:00:00,REGULAR,002673683,000918079,03-24-10,08:00:00,REGULAR,002673722,000918171,03-24-10,12:00:00,REGULAR,002673876,000918514,03-24-10,16:00:00,REGULAR,002674221,000918594,03-24-10,20:00:00,REGULAR,002675082,000918671\n",
        "A002,R051,02-00-00,03-25-10,00:00:00,REGULAR,002675153,000918675,03-25-10,04:00:00,REGULAR,002675153,000918675,03-25-10,08:00:00,REGULAR,002675190,000918752,03-25-10,12:00:00,REGULAR,002675345,000919053,03-25-10,16:00:00,REGULAR,002675676,000919118,03-25-10,20:00:00,REGULAR,002676557,000919179,03-26-10,00:00:00,REGULAR,002676688,000919207,03-26-10,04:00:00,REGULAR,002676694,000919208\n",
        "A002,R051,02-00-00,03-26-10,08:00:00,REGULAR,002676735,000919287,03-26-10,12:00:00,REGULAR,002676887,000919607,03-26-10,16:00:00,REGULAR,002677213,000919680,03-26-10,20:00:00,REGULAR,002678039,000919743,03-27-10,00:00:00,REGULAR,002678144,000919756,03-27-10,04:00:00,REGULAR,002678145,000919756,03-27-10,08:00:00,REGULAR,002678155,000919777,03-27-10,12:00:00,REGULAR,002678247,000919859\n",
        "A002,R051,02-00-00,03-27-10,16:00:00,REGULAR,002678531,000919908,03-27-10,20:00:00,REGULAR,002678892,000919964,03-28-10,00:00:00,REGULAR,002678929,000919966,03-28-10,04:00:00,REGULAR,002678929,000919966,03-28-10,08:00:00,REGULAR,002678935,000919982,03-28-10,12:00:00,REGULAR,002679003,000920006,03-28-10,16:00:00,REGULAR,002679231,000920059,03-28-10,20:00:00,REGULAR,002679475,000920098\n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "set([d[0] for d in data[:]])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 19,
       "text": [
        "{'A002',\n",
        " 'A006',\n",
        " 'A007',\n",
        " 'A010',\n",
        " 'A011',\n",
        " 'A013',\n",
        " 'A014',\n",
        " 'A015',\n",
        " 'A016',\n",
        " 'A021',\n",
        " 'A022',\n",
        " 'A025',\n",
        " 'A027',\n",
        " 'A029',\n",
        " 'A030',\n",
        " 'A031',\n",
        " 'A033',\n",
        " 'A034',\n",
        " 'A035',\n",
        " 'A037',\n",
        " 'A038',\n",
        " 'A039',\n",
        " 'A041',\n",
        " 'A042',\n",
        " 'A043',\n",
        " 'A046',\n",
        " 'A047',\n",
        " 'A050',\n",
        " 'A054',\n",
        " 'A055',\n",
        " 'A058',\n",
        " 'A060',\n",
        " 'A061',\n",
        " 'A064',\n",
        " 'A066',\n",
        " 'A069',\n",
        " 'A071',\n",
        " 'A077',\n",
        " 'A081',\n",
        " 'A082',\n",
        " 'A083',\n",
        " 'A084',\n",
        " 'A085',\n",
        " 'B004',\n",
        " 'B009',\n",
        " 'B010',\n",
        " 'B012',\n",
        " 'B013',\n",
        " 'B014',\n",
        " 'B015',\n",
        " 'B016',\n",
        " 'B017',\n",
        " 'B018',\n",
        " 'B019',\n",
        " 'B020',\n",
        " 'B021',\n",
        " 'B022',\n",
        " 'B023',\n",
        " 'B024',\n",
        " 'B024A',\n",
        " 'B025',\n",
        " 'B026',\n",
        " 'B027',\n",
        " 'B028',\n",
        " 'B029',\n",
        " 'B031',\n",
        " 'B032',\n",
        " 'B034',\n",
        " 'C001',\n",
        " 'C003',\n",
        " 'C004',\n",
        " 'C008',\n",
        " 'C009',\n",
        " 'C010',\n",
        " 'C011',\n",
        " 'C012',\n",
        " 'C014',\n",
        " 'C015',\n",
        " 'C016',\n",
        " 'C017',\n",
        " 'C018',\n",
        " 'C019',\n",
        " 'C020',\n",
        " 'C021',\n",
        " 'C022',\n",
        " 'C023',\n",
        " 'C024',\n",
        " 'C025',\n",
        " 'C026',\n",
        " 'C027',\n",
        " 'C028',\n",
        " 'D002',\n",
        " 'D003',\n",
        " 'D004',\n",
        " 'D005',\n",
        " 'D006',\n",
        " 'D008',\n",
        " 'D009',\n",
        " 'D010',\n",
        " 'D011',\n",
        " 'D012',\n",
        " 'D015',\n",
        " 'D016',\n",
        " 'E001',\n",
        " 'E003',\n",
        " 'E004',\n",
        " 'E005',\n",
        " 'E009',\n",
        " 'E011',\n",
        " 'E012',\n",
        " 'E013',\n",
        " 'E014',\n",
        " 'E015',\n",
        " 'E016',\n",
        " 'G001',\n",
        " 'G009',\n",
        " 'G011',\n",
        " 'G015',\n",
        " 'H001',\n",
        " 'H003',\n",
        " 'H005',\n",
        " 'H006',\n",
        " 'H007',\n",
        " 'H008',\n",
        " 'H009',\n",
        " 'H012',\n",
        " 'H013',\n",
        " 'H014',\n",
        " 'H015',\n",
        " 'H016',\n",
        " 'H017',\n",
        " 'H019',\n",
        " 'H022',\n",
        " 'H023',\n",
        " 'H026',\n",
        " 'H027',\n",
        " 'H028',\n",
        " 'H030',\n",
        " 'H032',\n",
        " 'H033',\n",
        " 'H035',\n",
        " 'H037',\n",
        " 'H038',\n",
        " 'H039',\n",
        " 'H040',\n",
        " 'H041',\n",
        " 'J001',\n",
        " 'J002',\n",
        " 'J003',\n",
        " 'J005',\n",
        " 'J007',\n",
        " 'J009',\n",
        " 'J012',\n",
        " 'J013',\n",
        " 'J016',\n",
        " 'J017',\n",
        " 'J020',\n",
        " 'J021',\n",
        " 'J022',\n",
        " 'J023',\n",
        " 'J024',\n",
        " 'J025',\n",
        " 'J028',\n",
        " 'J030',\n",
        " 'J031',\n",
        " 'J032',\n",
        " 'J034',\n",
        " 'J035',\n",
        " 'J037',\n",
        " 'JFK01',\n",
        " 'JFK02',\n",
        " 'JFK03',\n",
        " 'K017',\n",
        " 'K019',\n",
        " 'K022',\n",
        " 'K024',\n",
        " 'K025',\n",
        " 'K026',\n",
        " 'N001',\n",
        " 'N002A',\n",
        " 'N003',\n",
        " 'N006A',\n",
        " 'N007A',\n",
        " 'N009',\n",
        " 'N010',\n",
        " 'N011',\n",
        " 'N012',\n",
        " 'N013',\n",
        " 'N016A',\n",
        " 'N017',\n",
        " 'N019',\n",
        " 'N020',\n",
        " 'N022',\n",
        " 'N023',\n",
        " 'N024',\n",
        " 'N025',\n",
        " 'N026',\n",
        " 'N029',\n",
        " 'N030',\n",
        " 'N034',\n",
        " 'N035',\n",
        " 'N037',\n",
        " 'N039',\n",
        " 'N040',\n",
        " 'N043',\n",
        " 'N044',\n",
        " 'N045',\n",
        " 'N046',\n",
        " 'N049',\n",
        " 'N051',\n",
        " 'N056',\n",
        " 'N057',\n",
        " 'N060',\n",
        " 'N062',\n",
        " 'N062A',\n",
        " 'N063',\n",
        " 'N063A',\n",
        " 'N067',\n",
        " 'N068',\n",
        " 'N069',\n",
        " 'N070',\n",
        " 'N071',\n",
        " 'N072',\n",
        " 'N073',\n",
        " 'N075',\n",
        " 'N076',\n",
        " 'N077',\n",
        " 'N078',\n",
        " 'N080',\n",
        " 'N083',\n",
        " 'N086',\n",
        " 'N087',\n",
        " 'N089',\n",
        " 'N090',\n",
        " 'N091',\n",
        " 'N092',\n",
        " 'N094',\n",
        " 'N095',\n",
        " 'N098',\n",
        " 'N100',\n",
        " 'N101',\n",
        " 'N102',\n",
        " 'N103',\n",
        " 'N108',\n",
        " 'N110',\n",
        " 'N111',\n",
        " 'N112A',\n",
        " 'N113',\n",
        " 'N114',\n",
        " 'N116',\n",
        " 'N117',\n",
        " 'N118',\n",
        " 'N119',\n",
        " 'N120',\n",
        " 'N120A',\n",
        " 'N121B',\n",
        " 'N122',\n",
        " 'N123B',\n",
        " 'N124',\n",
        " 'N125',\n",
        " 'N126',\n",
        " 'N127',\n",
        " 'N128',\n",
        " 'N129',\n",
        " 'N130',\n",
        " 'N131',\n",
        " 'N133',\n",
        " 'N134',\n",
        " 'N135',\n",
        " 'N137',\n",
        " 'N138',\n",
        " 'N139',\n",
        " 'N141',\n",
        " 'N181',\n",
        " 'N181A',\n",
        " 'N182',\n",
        " 'N183',\n",
        " 'N184',\n",
        " 'N185',\n",
        " 'N186',\n",
        " 'N187',\n",
        " 'N191',\n",
        " 'N192',\n",
        " 'N193',\n",
        " 'N194',\n",
        " 'N195',\n",
        " 'N196',\n",
        " 'N202',\n",
        " 'N203',\n",
        " 'N205',\n",
        " 'N206',\n",
        " 'N207',\n",
        " 'N208',\n",
        " 'N209',\n",
        " 'N210',\n",
        " 'N212',\n",
        " 'N213',\n",
        " 'N215',\n",
        " 'N217',\n",
        " 'N218',\n",
        " 'N220',\n",
        " 'N221',\n",
        " 'N222',\n",
        " 'N223',\n",
        " 'N224',\n",
        " 'N225',\n",
        " 'N300',\n",
        " 'N301',\n",
        " 'N303',\n",
        " 'N304',\n",
        " 'N305',\n",
        " 'N305A',\n",
        " 'N306',\n",
        " 'N307',\n",
        " 'N309A',\n",
        " 'N310',\n",
        " 'N311',\n",
        " 'N312',\n",
        " 'N314',\n",
        " 'N315',\n",
        " 'N316',\n",
        " 'N316A',\n",
        " 'N317',\n",
        " 'N318',\n",
        " 'N319',\n",
        " 'N322',\n",
        " 'N323',\n",
        " 'N324',\n",
        " 'N325A',\n",
        " 'N327',\n",
        " 'N329',\n",
        " 'N329A',\n",
        " 'N330',\n",
        " 'N330C',\n",
        " 'N331',\n",
        " 'N332',\n",
        " 'N333',\n",
        " 'N333A',\n",
        " 'N333B',\n",
        " 'N334B',\n",
        " 'N335',\n",
        " 'N336',\n",
        " 'N337',\n",
        " 'N338',\n",
        " 'N338B',\n",
        " 'N339',\n",
        " 'N339A',\n",
        " 'N340',\n",
        " 'N340A',\n",
        " 'N342',\n",
        " 'N343',\n",
        " 'N400A',\n",
        " 'N401',\n",
        " 'N405',\n",
        " 'N408A',\n",
        " 'N409',\n",
        " 'N412',\n",
        " 'N414',\n",
        " 'N414A',\n",
        " 'N415',\n",
        " 'N416',\n",
        " 'N417',\n",
        " 'N418',\n",
        " 'N419',\n",
        " 'N420B',\n",
        " 'N422',\n",
        " 'N500',\n",
        " 'N501',\n",
        " 'N501A',\n",
        " 'N502',\n",
        " 'N503',\n",
        " 'N504',\n",
        " 'N505',\n",
        " 'N506',\n",
        " 'N507',\n",
        " 'N508',\n",
        " 'N509',\n",
        " 'N510',\n",
        " 'N511',\n",
        " 'N512',\n",
        " 'N513',\n",
        " 'N519',\n",
        " 'N519A',\n",
        " 'N520',\n",
        " 'N521',\n",
        " 'N523',\n",
        " 'N525',\n",
        " 'N526',\n",
        " 'N528',\n",
        " 'N529',\n",
        " 'N530',\n",
        " 'N531',\n",
        " 'N532',\n",
        " 'N533',\n",
        " 'N534',\n",
        " 'N535',\n",
        " 'N536',\n",
        " 'N537',\n",
        " 'N539A',\n",
        " 'N541',\n",
        " 'N542',\n",
        " 'N543',\n",
        " 'N544',\n",
        " 'N545',\n",
        " 'N546',\n",
        " 'N547',\n",
        " 'N548',\n",
        " 'N549',\n",
        " 'N550',\n",
        " 'N551',\n",
        " 'N553',\n",
        " 'N554',\n",
        " 'N555',\n",
        " 'N556',\n",
        " 'N557',\n",
        " 'N558',\n",
        " 'N559',\n",
        " 'N561',\n",
        " 'N562',\n",
        " 'N600',\n",
        " 'N601',\n",
        " 'N602',\n",
        " 'N603',\n",
        " 'N604',\n",
        " 'N605',\n",
        " 'N606',\n",
        " 'N607',\n",
        " 'PTH01',\n",
        " 'PTH02',\n",
        " 'PTH03',\n",
        " 'PTH04',\n",
        " 'PTH05',\n",
        " 'PTH06',\n",
        " 'PTH07',\n",
        " 'PTH08',\n",
        " 'PTH09',\n",
        " 'PTH10',\n",
        " 'PTH11',\n",
        " 'PTH12',\n",
        " 'PTH13',\n",
        " 'PTH16',\n",
        " 'PTH17',\n",
        " 'PTH18',\n",
        " 'PTH19',\n",
        " 'PTH20',\n",
        " 'PTH21',\n",
        " 'R101',\n",
        " 'R102',\n",
        " 'R103',\n",
        " 'R110',\n",
        " 'R111',\n",
        " 'R112',\n",
        " 'R112A',\n",
        " 'R113',\n",
        " 'R114',\n",
        " 'R115',\n",
        " 'R116',\n",
        " 'R117',\n",
        " 'R118',\n",
        " 'R119',\n",
        " 'R120',\n",
        " 'R121',\n",
        " 'R122',\n",
        " 'R123',\n",
        " 'R124',\n",
        " 'R125',\n",
        " 'R126',\n",
        " 'R127',\n",
        " 'R128',\n",
        " 'R129',\n",
        " 'R130',\n",
        " 'R131',\n",
        " 'R132',\n",
        " 'R133',\n",
        " 'R134',\n",
        " 'R135',\n",
        " 'R137',\n",
        " 'R138',\n",
        " 'R139',\n",
        " 'R141',\n",
        " 'R142',\n",
        " 'R143',\n",
        " 'R145',\n",
        " 'R147',\n",
        " 'R148',\n",
        " 'R151',\n",
        " 'R154',\n",
        " 'R155',\n",
        " 'R158',\n",
        " 'R159',\n",
        " 'R160',\n",
        " 'R160A',\n",
        " 'R161A',\n",
        " 'R161B',\n",
        " 'R162',\n",
        " 'R163',\n",
        " 'R164',\n",
        " 'R165',\n",
        " 'R166',\n",
        " 'R168A',\n",
        " 'R169',\n",
        " 'R170',\n",
        " 'R171',\n",
        " 'R172',\n",
        " 'R173',\n",
        " 'R174',\n",
        " 'R175',\n",
        " 'R176',\n",
        " 'R177',\n",
        " 'R178',\n",
        " 'R179',\n",
        " 'R180',\n",
        " 'R182',\n",
        " 'R183',\n",
        " 'R185',\n",
        " 'R186',\n",
        " 'R188',\n",
        " 'R190',\n",
        " 'R192',\n",
        " 'R194',\n",
        " 'R196',\n",
        " 'R197',\n",
        " 'R200A',\n",
        " 'R201',\n",
        " 'R202',\n",
        " 'R203',\n",
        " 'R203A',\n",
        " 'R204',\n",
        " 'R204A',\n",
        " 'R205A',\n",
        " 'R206',\n",
        " 'R208',\n",
        " 'R210',\n",
        " 'R210A',\n",
        " 'R215',\n",
        " 'R216',\n",
        " 'R217A',\n",
        " 'R219',\n",
        " 'R220',\n",
        " 'R221',\n",
        " 'R226',\n",
        " 'R226A',\n",
        " 'R227',\n",
        " 'R227A',\n",
        " 'R228',\n",
        " 'R229',\n",
        " 'R230',\n",
        " 'R231',\n",
        " 'R231A',\n",
        " 'R232',\n",
        " 'R232A',\n",
        " 'R236',\n",
        " 'R237',\n",
        " 'R237B',\n",
        " 'R238',\n",
        " 'R240',\n",
        " 'R241A',\n",
        " 'R242',\n",
        " 'R242A',\n",
        " 'R243',\n",
        " 'R244',\n",
        " 'R244A',\n",
        " 'R245',\n",
        " 'R245A',\n",
        " 'R246',\n",
        " 'R247',\n",
        " 'R248',\n",
        " 'R249',\n",
        " 'R250',\n",
        " 'R251',\n",
        " 'R252',\n",
        " 'R253',\n",
        " 'R254',\n",
        " 'R256',\n",
        " 'R257',\n",
        " 'R258',\n",
        " 'R259',\n",
        " 'R260',\n",
        " 'R261',\n",
        " 'R262',\n",
        " 'R262A',\n",
        " 'R262B',\n",
        " 'R283',\n",
        " 'R284',\n",
        " 'R285',\n",
        " 'R286',\n",
        " 'R287',\n",
        " 'R288',\n",
        " 'R289',\n",
        " 'R290',\n",
        " 'R291',\n",
        " 'R293',\n",
        " 'R294',\n",
        " 'R301',\n",
        " 'R302',\n",
        " 'R303',\n",
        " 'R304',\n",
        " 'R305',\n",
        " 'R306',\n",
        " 'R307',\n",
        " 'R308',\n",
        " 'R309',\n",
        " 'R310',\n",
        " 'R311',\n",
        " 'R312',\n",
        " 'R314',\n",
        " 'R315',\n",
        " 'R316',\n",
        " 'R317',\n",
        " 'R318',\n",
        " 'R319',\n",
        " 'R320',\n",
        " 'R321',\n",
        " 'R322',\n",
        " 'R323',\n",
        " 'R325',\n",
        " 'R326',\n",
        " 'R327',\n",
        " 'R328',\n",
        " 'R329',\n",
        " 'R330',\n",
        " 'R331',\n",
        " 'R332',\n",
        " 'R333',\n",
        " 'R334',\n",
        " 'R335',\n",
        " 'R336',\n",
        " 'R401',\n",
        " 'R402',\n",
        " 'R403',\n",
        " 'R404',\n",
        " 'R405',\n",
        " 'R406',\n",
        " 'R407',\n",
        " 'R408',\n",
        " 'R409',\n",
        " 'R410',\n",
        " 'R411',\n",
        " 'R412',\n",
        " 'R413',\n",
        " 'R414',\n",
        " 'R415',\n",
        " 'R416',\n",
        " 'R417',\n",
        " 'R419',\n",
        " 'R420',\n",
        " 'R422',\n",
        " 'R423',\n",
        " 'R501',\n",
        " 'R503',\n",
        " 'R504',\n",
        " 'R506',\n",
        " 'R507',\n",
        " 'R508',\n",
        " 'R509',\n",
        " 'R510',\n",
        " 'R511',\n",
        " 'R512',\n",
        " 'R513',\n",
        " 'R514',\n",
        " 'R515',\n",
        " 'R516',\n",
        " 'R517',\n",
        " 'R518',\n",
        " 'R519',\n",
        " 'R520',\n",
        " 'R521',\n",
        " 'R523',\n",
        " 'R524',\n",
        " 'R525',\n",
        " 'R526',\n",
        " 'R527',\n",
        " 'R528',\n",
        " 'R529',\n",
        " 'R530',\n",
        " 'R532',\n",
        " 'R532H',\n",
        " 'R533',\n",
        " 'R534',\n",
        " 'R600',\n",
        " 'R601A',\n",
        " 'R602',\n",
        " 'R604',\n",
        " 'R605',\n",
        " 'R606',\n",
        " 'R608',\n",
        " 'R609',\n",
        " 'R610',\n",
        " 'R612',\n",
        " 'R617',\n",
        " 'R618',\n",
        " 'R619',\n",
        " 'R621',\n",
        " 'R622',\n",
        " 'R623',\n",
        " 'R624',\n",
        " 'R625',\n",
        " 'R626',\n",
        " 'R627',\n",
        " 'R628',\n",
        " 'R629',\n",
        " 'R630',\n",
        " 'R632',\n",
        " 'R633',\n",
        " 'R634',\n",
        " 'R635',\n",
        " 'R636',\n",
        " 'R637',\n",
        " 'R639',\n",
        " 'R641',\n",
        " 'R643',\n",
        " 'R644',\n",
        " 'R645',\n",
        " 'R646',\n",
        " 'R647',\n",
        " 'R726',\n",
        " 'R727',\n",
        " 'R728',\n",
        " 'R729',\n",
        " 'R730',\n",
        " 'S101',\n",
        " 'S101A',\n",
        " 'S102',\n",
        " 'TRAM1',\n",
        " 'TRAM2'}"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "set([d[1] for d in data[:]])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 18,
       "text": [
        "{'R001',\n",
        " 'R003',\n",
        " 'R004',\n",
        " 'R005',\n",
        " 'R006',\n",
        " 'R007',\n",
        " 'R008',\n",
        " 'R009',\n",
        " 'R010',\n",
        " 'R011',\n",
        " 'R012',\n",
        " 'R013',\n",
        " 'R014',\n",
        " 'R015',\n",
        " 'R016',\n",
        " 'R017',\n",
        " 'R018',\n",
        " 'R019',\n",
        " 'R020',\n",
        " 'R021',\n",
        " 'R022',\n",
        " 'R023',\n",
        " 'R024',\n",
        " 'R025',\n",
        " 'R027',\n",
        " 'R028',\n",
        " 'R029',\n",
        " 'R030',\n",
        " 'R031',\n",
        " 'R032',\n",
        " 'R033',\n",
        " 'R034',\n",
        " 'R035',\n",
        " 'R036',\n",
        " 'R037',\n",
        " 'R038',\n",
        " 'R039',\n",
        " 'R040',\n",
        " 'R041',\n",
        " 'R042',\n",
        " 'R043',\n",
        " 'R044',\n",
        " 'R045',\n",
        " 'R046',\n",
        " 'R047',\n",
        " 'R048',\n",
        " 'R049',\n",
        " 'R050',\n",
        " 'R051',\n",
        " 'R052',\n",
        " 'R053',\n",
        " 'R054',\n",
        " 'R055',\n",
        " 'R056',\n",
        " 'R057',\n",
        " 'R058',\n",
        " 'R059',\n",
        " 'R060',\n",
        " 'R061',\n",
        " 'R062',\n",
        " 'R063',\n",
        " 'R064',\n",
        " 'R065',\n",
        " 'R066',\n",
        " 'R067',\n",
        " 'R068',\n",
        " 'R069',\n",
        " 'R070',\n",
        " 'R079',\n",
        " 'R080',\n",
        " 'R081',\n",
        " 'R082',\n",
        " 'R083',\n",
        " 'R084',\n",
        " 'R085',\n",
        " 'R086',\n",
        " 'R087',\n",
        " 'R088',\n",
        " 'R089',\n",
        " 'R090',\n",
        " 'R091',\n",
        " 'R092',\n",
        " 'R093',\n",
        " 'R094',\n",
        " 'R095',\n",
        " 'R096',\n",
        " 'R097',\n",
        " 'R098',\n",
        " 'R099',\n",
        " 'R100',\n",
        " 'R101',\n",
        " 'R102',\n",
        " 'R103',\n",
        " 'R104',\n",
        " 'R105',\n",
        " 'R107',\n",
        " 'R108',\n",
        " 'R109',\n",
        " 'R110',\n",
        " 'R111',\n",
        " 'R112',\n",
        " 'R113',\n",
        " 'R114',\n",
        " 'R115',\n",
        " 'R116',\n",
        " 'R117',\n",
        " 'R118',\n",
        " 'R119',\n",
        " 'R120',\n",
        " 'R121',\n",
        " 'R122',\n",
        " 'R123',\n",
        " 'R124',\n",
        " 'R125',\n",
        " 'R126',\n",
        " 'R127',\n",
        " 'R128',\n",
        " 'R129',\n",
        " 'R130',\n",
        " 'R131',\n",
        " 'R132',\n",
        " 'R133',\n",
        " 'R134',\n",
        " 'R135',\n",
        " 'R136',\n",
        " 'R137',\n",
        " 'R138',\n",
        " 'R139',\n",
        " 'R140',\n",
        " 'R141',\n",
        " 'R142',\n",
        " 'R143',\n",
        " 'R144',\n",
        " 'R145',\n",
        " 'R146',\n",
        " 'R147',\n",
        " 'R148',\n",
        " 'R149',\n",
        " 'R150',\n",
        " 'R151',\n",
        " 'R152',\n",
        " 'R153',\n",
        " 'R154',\n",
        " 'R155',\n",
        " 'R156',\n",
        " 'R157',\n",
        " 'R158',\n",
        " 'R159',\n",
        " 'R160',\n",
        " 'R161',\n",
        " 'R162',\n",
        " 'R163',\n",
        " 'R164',\n",
        " 'R165',\n",
        " 'R166',\n",
        " 'R167',\n",
        " 'R168',\n",
        " 'R169',\n",
        " 'R170',\n",
        " 'R171',\n",
        " 'R172',\n",
        " 'R173',\n",
        " 'R174',\n",
        " 'R175',\n",
        " 'R176',\n",
        " 'R177',\n",
        " 'R178',\n",
        " 'R179',\n",
        " 'R180',\n",
        " 'R181',\n",
        " 'R182',\n",
        " 'R183',\n",
        " 'R184',\n",
        " 'R185',\n",
        " 'R186',\n",
        " 'R187',\n",
        " 'R188',\n",
        " 'R189',\n",
        " 'R190',\n",
        " 'R191',\n",
        " 'R192',\n",
        " 'R193',\n",
        " 'R194',\n",
        " 'R195',\n",
        " 'R196',\n",
        " 'R197',\n",
        " 'R198',\n",
        " 'R199',\n",
        " 'R200',\n",
        " 'R201',\n",
        " 'R202',\n",
        " 'R203',\n",
        " 'R204',\n",
        " 'R205',\n",
        " 'R206',\n",
        " 'R207',\n",
        " 'R208',\n",
        " 'R209',\n",
        " 'R210',\n",
        " 'R211',\n",
        " 'R212',\n",
        " 'R213',\n",
        " 'R214',\n",
        " 'R215',\n",
        " 'R216',\n",
        " 'R217',\n",
        " 'R218',\n",
        " 'R219',\n",
        " 'R220',\n",
        " 'R221',\n",
        " 'R222',\n",
        " 'R223',\n",
        " 'R224',\n",
        " 'R225',\n",
        " 'R226',\n",
        " 'R227',\n",
        " 'R228',\n",
        " 'R229',\n",
        " 'R230',\n",
        " 'R231',\n",
        " 'R232',\n",
        " 'R233',\n",
        " 'R234',\n",
        " 'R235',\n",
        " 'R236',\n",
        " 'R237',\n",
        " 'R238',\n",
        " 'R239',\n",
        " 'R240',\n",
        " 'R241',\n",
        " 'R242',\n",
        " 'R243',\n",
        " 'R244',\n",
        " 'R245',\n",
        " 'R246',\n",
        " 'R247',\n",
        " 'R248',\n",
        " 'R249',\n",
        " 'R250',\n",
        " 'R251',\n",
        " 'R252',\n",
        " 'R253',\n",
        " 'R254',\n",
        " 'R255',\n",
        " 'R256',\n",
        " 'R257',\n",
        " 'R258',\n",
        " 'R259',\n",
        " 'R260',\n",
        " 'R261',\n",
        " 'R262',\n",
        " 'R263',\n",
        " 'R264',\n",
        " 'R265',\n",
        " 'R266',\n",
        " 'R267',\n",
        " 'R268',\n",
        " 'R269',\n",
        " 'R270',\n",
        " 'R271',\n",
        " 'R272',\n",
        " 'R273',\n",
        " 'R274',\n",
        " 'R275',\n",
        " 'R276',\n",
        " 'R277',\n",
        " 'R278',\n",
        " 'R279',\n",
        " 'R280',\n",
        " 'R281',\n",
        " 'R282',\n",
        " 'R283',\n",
        " 'R284',\n",
        " 'R285',\n",
        " 'R286',\n",
        " 'R287',\n",
        " 'R288',\n",
        " 'R289',\n",
        " 'R290',\n",
        " 'R291',\n",
        " 'R292',\n",
        " 'R293',\n",
        " 'R294',\n",
        " 'R295',\n",
        " 'R296',\n",
        " 'R297',\n",
        " 'R298',\n",
        " 'R299',\n",
        " 'R300',\n",
        " 'R301',\n",
        " 'R302',\n",
        " 'R303',\n",
        " 'R304',\n",
        " 'R306',\n",
        " 'R307',\n",
        " 'R308',\n",
        " 'R309',\n",
        " 'R310',\n",
        " 'R311',\n",
        " 'R312',\n",
        " 'R313',\n",
        " 'R314',\n",
        " 'R315',\n",
        " 'R316',\n",
        " 'R317',\n",
        " 'R318',\n",
        " 'R319',\n",
        " 'R320',\n",
        " 'R321',\n",
        " 'R322',\n",
        " 'R323',\n",
        " 'R324',\n",
        " 'R325',\n",
        " 'R326',\n",
        " 'R327',\n",
        " 'R328',\n",
        " 'R329',\n",
        " 'R330',\n",
        " 'R331',\n",
        " 'R332',\n",
        " 'R333',\n",
        " 'R334',\n",
        " 'R335',\n",
        " 'R336',\n",
        " 'R337',\n",
        " 'R338',\n",
        " 'R339',\n",
        " 'R340',\n",
        " 'R341',\n",
        " 'R342',\n",
        " 'R343',\n",
        " 'R344',\n",
        " 'R345',\n",
        " 'R346',\n",
        " 'R347',\n",
        " 'R348',\n",
        " 'R349',\n",
        " 'R350',\n",
        " 'R352',\n",
        " 'R353',\n",
        " 'R354',\n",
        " 'R355',\n",
        " 'R356',\n",
        " 'R357',\n",
        " 'R358',\n",
        " 'R359',\n",
        " 'R360',\n",
        " 'R361',\n",
        " 'R362',\n",
        " 'R363',\n",
        " 'R364',\n",
        " 'R365',\n",
        " 'R366',\n",
        " 'R367',\n",
        " 'R368',\n",
        " 'R369',\n",
        " 'R370',\n",
        " 'R371',\n",
        " 'R372',\n",
        " 'R373',\n",
        " 'R374',\n",
        " 'R375',\n",
        " 'R376',\n",
        " 'R377',\n",
        " 'R378',\n",
        " 'R379',\n",
        " 'R380',\n",
        " 'R381',\n",
        " 'R382',\n",
        " 'R383',\n",
        " 'R384',\n",
        " 'R385',\n",
        " 'R386',\n",
        " 'R387',\n",
        " 'R388',\n",
        " 'R389',\n",
        " 'R390',\n",
        " 'R391',\n",
        " 'R392',\n",
        " 'R393',\n",
        " 'R394',\n",
        " 'R395',\n",
        " 'R396',\n",
        " 'R397',\n",
        " 'R398',\n",
        " 'R399',\n",
        " 'R400',\n",
        " 'R401',\n",
        " 'R402',\n",
        " 'R403',\n",
        " 'R404',\n",
        " 'R405',\n",
        " 'R406',\n",
        " 'R407',\n",
        " 'R408',\n",
        " 'R409',\n",
        " 'R411',\n",
        " 'R412',\n",
        " 'R413',\n",
        " 'R414',\n",
        " 'R415',\n",
        " 'R416',\n",
        " 'R417',\n",
        " 'R418',\n",
        " 'R419',\n",
        " 'R420',\n",
        " 'R421',\n",
        " 'R422',\n",
        " 'R423',\n",
        " 'R424',\n",
        " 'R425',\n",
        " 'R426',\n",
        " 'R428',\n",
        " 'R429',\n",
        " 'R430',\n",
        " 'R431',\n",
        " 'R432',\n",
        " 'R433',\n",
        " 'R434',\n",
        " 'R435',\n",
        " 'R436',\n",
        " 'R437',\n",
        " 'R438',\n",
        " 'R439',\n",
        " 'R440',\n",
        " 'R441',\n",
        " 'R442',\n",
        " 'R443',\n",
        " 'R444',\n",
        " 'R445',\n",
        " 'R446',\n",
        " 'R447',\n",
        " 'R448',\n",
        " 'R449',\n",
        " 'R450',\n",
        " 'R451',\n",
        " 'R452',\n",
        " 'R453',\n",
        " 'R454',\n",
        " 'R455',\n",
        " 'R456',\n",
        " 'R460',\n",
        " 'R461',\n",
        " 'R462',\n",
        " 'R463',\n",
        " 'R464',\n",
        " 'R468',\n",
        " 'R469',\n",
        " 'R535',\n",
        " 'R536',\n",
        " 'R540',\n",
        " 'R541',\n",
        " 'R542',\n",
        " 'R543',\n",
        " 'R544',\n",
        " 'R545',\n",
        " 'R546',\n",
        " 'R547',\n",
        " 'R548',\n",
        " 'R549',\n",
        " 'R550',\n",
        " 'R551',\n",
        " 'R552'}"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Remote-Booth-Station\n",
      "\n",
      "The train station `R001` is `WHITEHALL ST`"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "stations = [x[:-1].split(',') for x in file(\"Remote-Booth-Station.csv\").readlines()]\n",
      "remoteToStations = { x[0]:[x[2],x[3]] for x in stations[1:]}\n",
      "remoteToStations"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 123,
       "text": [
        "{'R001': ['SOUTH FERRY', 'R1'],\n",
        " 'R002': ['FULTON ST', 'ACJZ2345'],\n",
        " 'R003': ['CYPRESS HILLS', 'J'],\n",
        " 'R004': ['ELDERTS LANE', 'JZ'],\n",
        " 'R005': ['FOREST PARKWAY', 'J'],\n",
        " 'R006': ['WOODHAVEN BLVD', 'JZ'],\n",
        " 'R007': ['104 ST', 'JZ'],\n",
        " 'R008': ['111 ST', 'J'],\n",
        " 'R009': ['121 ST', 'JZ'],\n",
        " 'R010': ['42 ST-PA BUS TE', 'ACENQRS1237'],\n",
        " 'R011': ['42 ST-PA BUS TE', 'ACENQRS1237'],\n",
        " 'R012': ['34 ST-PENN STA', 'ACE'],\n",
        " 'R013': ['34 ST-PENN STA', 'ACE'],\n",
        " 'R014': ['FULTON ST', '2345ACJZ'],\n",
        " 'R015': ['5 AVE-53 ST', 'EM'],\n",
        " 'R016': ['LEXINGTON-53 ST', 'EM6'],\n",
        " 'R017': ['LEXINGTON-53 ST', 'EM6'],\n",
        " 'R018': ['74 ST-BROADWAY', 'EFMR7'],\n",
        " 'R019': ['JAMAICA-179 ST', 'F'],\n",
        " 'R020': ['47-50 ST-ROCK', 'BDFM'],\n",
        " 'R021': ['42 ST-BRYANT PK', 'BDFM7'],\n",
        " 'R022': ['34 ST-HERALD SQ', 'BDFMNQR'],\n",
        " 'R023': ['34 ST-HERALD SQ', 'BDFMNQR'],\n",
        " 'R024': ['SUTPHIN BLVD', 'EJZ'],\n",
        " 'R025': ['JAMAICA CENTER', 'EJZ'],\n",
        " 'R027': ['WALL ST', '23'],\n",
        " 'R028': ['FULTON ST', '2345ACJZ'],\n",
        " 'R029': ['CHAMBERS ST', 'ACE23'],\n",
        " 'R030': ['CHAMBERS ST', '123'],\n",
        " 'R031': ['34 ST-PENN STA', '123'],\n",
        " 'R032': ['42 ST-TIMES SQ', '1237ACENQRS'],\n",
        " 'R033': ['42 ST-TIMES SQ', '1237ACENQRS'],\n",
        " 'R034': ['125 ST', '1'],\n",
        " 'R035': ['168 ST-BROADWAY', 'AC1'],\n",
        " 'R036': ['DYCKMAN ST', '1'],\n",
        " 'R037': ['207 ST', '1'],\n",
        " 'R038': ['215 ST', '1'],\n",
        " 'R039': ['MARBLE HILL-225', '1'],\n",
        " 'R040': ['231 ST', '1'],\n",
        " 'R041': ['BOWLING GREEN', '45'],\n",
        " 'R042': ['BOWLING GREEN', '45'],\n",
        " 'R043': ['WALL ST', '45'],\n",
        " 'R044': ['BROOKLYN BRIDGE', 'JZ456'],\n",
        " 'R045': ['42 ST-GRD CNTRL', '4567S'],\n",
        " 'R046': ['42 ST-GRD CNTRL', '4567S'],\n",
        " 'R047': ['42 ST-GRD CNTRL', '4567S'],\n",
        " 'R048': ['42 ST-GRD CNTRL', '4567S'],\n",
        " 'R049': ['51 ST', '6'],\n",
        " 'R050': ['LEXINGTON AVE', '456NQR'],\n",
        " 'R051': ['LEXINGTON AVE', '456NQR'],\n",
        " 'R052': ['WOODLAWN ROAD', '4'],\n",
        " 'R053': ['149 ST-3 AVE', '25'],\n",
        " 'R054': ['5 AVE-BRYANT PK', '7BDFM'],\n",
        " 'R055': ['MAIN ST', '7'],\n",
        " 'R056': ['NEVINS ST', '2345'],\n",
        " 'R057': ['PACIFIC ST', 'BDNQR2345'],\n",
        " 'R058': ['BERGEN ST', '23'],\n",
        " 'R059': ['GRAND ARMY PLAZ', '23'],\n",
        " 'R060': ['EASTERN PKWY', '23'],\n",
        " 'R061': ['NOSTRAND AVE', '3'],\n",
        " 'R062': ['CROWN HTS-UTICA', '34'],\n",
        " 'R063': ['SUTTER AVE', '3'],\n",
        " 'R064': ['SARATOGA AVE', '3'],\n",
        " 'R065': ['ROCKAWAY AVE', '3'],\n",
        " 'R066': ['JUNIUS ST', '3'],\n",
        " 'R067': ['PENNSYLVANIA AV', '3'],\n",
        " 'R068': ['VAN SICLEN AVE', '3'],\n",
        " 'R069': ['NEW LOTS AVE', '3'],\n",
        " 'R070': ['ST. GEORGE', '1'],\n",
        " 'R076': ['2 BDWY CUST SRV', '45'],\n",
        " 'R079': ['5 AVE-59 ST', 'NQR'],\n",
        " 'R080': ['57 ST-7 AVE', 'NQR'],\n",
        " 'R081': ['49 ST-7 AVE', 'NQR'],\n",
        " 'R082': ['28 ST-BROADWAY', 'NR'],\n",
        " 'R083': ['23 ST-5 AVE', 'NR'],\n",
        " 'R084': ['59 ST-COLUMBUS', 'ABCD1'],\n",
        " 'R085': [\"8 ST-B'WAY NYU\", 'NR'],\n",
        " 'R086': [\"PRINCE ST-B'WAY\", 'NR'],\n",
        " 'R087': [\"MURRAY ST-B'WAY\", 'R'],\n",
        " 'R088': ['CORTLANDT ST', 'R'],\n",
        " 'R089': ['JAY ST-METROTEC', 'R'],\n",
        " 'R090': ['BEEBE-39 AVE', 'NQ'],\n",
        " 'R091': ['WASHINGTON-36 A', 'NQ'],\n",
        " 'R092': ['BROADWAY-31 ST', 'NQ'],\n",
        " 'R093': ['GRAND-30 AVE', 'NQ'],\n",
        " 'R094': ['HOYT ST-ASTORIA', 'NQ'],\n",
        " 'R095': ['DITMARS BL-31 S', 'NQ'],\n",
        " 'R096': ['82 ST-JACKSON H', '7'],\n",
        " 'R097': ['JUNCTION BLVD', '7'],\n",
        " 'R098': ['CHURCH AVE', 'BQ'],\n",
        " 'R099': ['DEKALB AVE', 'BDNQR'],\n",
        " 'R100': ['METROPOLITAN AV', 'M'],\n",
        " 'R101': ['145 ST', 'ABCD'],\n",
        " 'R102': ['125 ST', 'ACBD'],\n",
        " 'R103': ['BROADWAY-ENY', 'ACJLZ'],\n",
        " 'R104': ['167 ST', 'BD'],\n",
        " 'R105': ['14 ST', '123FLM'],\n",
        " 'R106': ['CASTLE HILL AVE', '6'],\n",
        " 'R107': ['WESTCHESTER SQ', '6'],\n",
        " 'R108': ['BOROUGH HALL/CT', '2345R'],\n",
        " 'R109': ['CHURCH AVE', '25'],\n",
        " 'R110': ['FLATBUSH AVE', '25'],\n",
        " 'R111': ['23 ST', 'CE'],\n",
        " 'R112': ['FORDHAM ROAD', 'BD'],\n",
        " 'R113': ['7 AVE-53 ST', 'BDE'],\n",
        " 'R114': ['PARSONS BLVD', 'F'],\n",
        " 'R115': ['169 ST', 'F'],\n",
        " 'R116': ['50 ST', '1'],\n",
        " 'R117': ['242 ST', '1'],\n",
        " 'R118': ['CANAL ST', 'JNQRZ6'],\n",
        " 'R119': ['FORDHAM ROAD', '4'],\n",
        " 'R120': ['MORRISON AVE', '6'],\n",
        " 'R121': ['QUEENSBORO PLZ', '7NQ'],\n",
        " 'R122': ['90 ST-ELMHURST', '7'],\n",
        " 'R123': ['FRANKLIN AVE', '2345S'],\n",
        " 'R124': ['KINGSTON AVE', '3'],\n",
        " 'R125': ['BROAD ST', 'JZ'],\n",
        " 'R126': ['175 ST', 'A'],\n",
        " 'R127': ['JAY ST-METROTEC', 'ACF'],\n",
        " 'R128': ['SUTPHIN BLVD', 'F'],\n",
        " 'R129': ['BERGEN ST', 'FG'],\n",
        " 'R130': ['KINGS HIGHWAY', 'F'],\n",
        " 'R131': ['23 ST', '6'],\n",
        " 'R132': ['125 ST', '456'],\n",
        " 'R133': ['MOSHOLU PARKWAY', '4'],\n",
        " 'R134': ['HUNTERS PT AVE', '7'],\n",
        " 'R135': ['NEWKIRK AVE', '25'],\n",
        " 'R136': ['SHEEPSHEAD BAY', 'BQ'],\n",
        " 'R137': ['MYRTLE AVE', 'LM'],\n",
        " 'R138': ['W 4 ST-WASH SQ', 'ABCDEFM'],\n",
        " 'R139': ['CANAL ST', 'ACE'],\n",
        " 'R140': ['QUEENS PLAZA', 'EMR'],\n",
        " 'R141': ['FOREST HILLS-71', 'EFMR'],\n",
        " 'R142': ['DELANCEY ST', 'FJMZ'],\n",
        " 'R143': ['28 ST', '6'],\n",
        " 'R144': ['96 ST', '6'],\n",
        " 'R145': ['WAKEFIELD-241', '2'],\n",
        " 'R146': ['HUNTS POINT AVE', '6'],\n",
        " 'R147': ['61 ST/WOODSIDE', '7'],\n",
        " 'R148': ['PARKSIDE AVE', 'BQ'],\n",
        " 'R149': ['NEWKIRK AVE', 'BQ'],\n",
        " 'R150': ['AVE U', 'BQ'],\n",
        " 'R151': ['STILLWELL AVE', 'DFNQ'],\n",
        " 'R152': ['ROCKAWAY PKY', 'L'],\n",
        " 'R153': ['UTICA AVE', 'AC'],\n",
        " 'R154': ['TREMONT AVE', 'BD'],\n",
        " 'R155': ['KINGSBRIDGE RD', 'BD'],\n",
        " 'R156': ['BEDFORD PARK BL', 'BD'],\n",
        " 'R157': ['NORWOOD-205 ST', 'D'],\n",
        " 'R158': ['UNION TPK-KEW G', 'EF'],\n",
        " 'R159': ['116 ST-COLUMBIA', '1'],\n",
        " 'R160': ['ASTOR PLACE', '6'],\n",
        " 'R161': ['KINGSBRIDGE RD', '4'],\n",
        " 'R162': ['ELDER AVE', '6'],\n",
        " 'R163': ['14 ST-6 AVE', 'FLM123'],\n",
        " 'R164': ['66 ST-LINCOLN', '1'],\n",
        " 'R165': ['TOMPKINSVILLE', '1'],\n",
        " 'R166': ['79 ST', '1'],\n",
        " 'R167': ['86 ST', '1'],\n",
        " 'R168': ['96 ST', '123'],\n",
        " 'R169': ['137 ST-CITY COL', '1'],\n",
        " 'R170': ['14 ST-UNION SQ', 'LNRQ456'],\n",
        " 'R171': ['7 AVE', 'BQ'],\n",
        " 'R172': ['BRIGHTON BEACH', 'BQ'],\n",
        " 'R173': ['INWOOD-207 ST', 'A'],\n",
        " 'R174': ['181 ST', 'A'],\n",
        " 'R175': ['14 ST', 'ACEL'],\n",
        " 'R176': ['33 ST', '6'],\n",
        " 'R177': ['68ST-HUNTER COL', '6'],\n",
        " 'R178': ['77 ST', '6'],\n",
        " 'R179': ['86 ST', '456'],\n",
        " 'R180': ['103 ST', '6'],\n",
        " 'R181': ['110 ST', '6'],\n",
        " 'R182': ['116 ST', '6'],\n",
        " 'R183': ['BEDFORD PARK BL', '4'],\n",
        " 'R184': ['CORTELYOU ROAD', 'BQ'],\n",
        " 'R185': ['DYCKMAN-200 ST', 'A'],\n",
        " 'R186': ['86 ST', 'BC'],\n",
        " 'R187': ['81 ST-MUSEUM', 'BC'],\n",
        " 'R188': ['50 ST', 'CE'],\n",
        " 'R189': ['CHRISTOPHER ST', '1'],\n",
        " 'R190': ['23 ST', '1'],\n",
        " 'R191': ['103 ST', '1'],\n",
        " 'R192': ['110 ST-CATHEDRL', '1'],\n",
        " 'R193': ['157 ST', '1'],\n",
        " 'R194': ['BLEECKER ST', '6DF'],\n",
        " 'R195': ['161 ST-YANKEE', '4BD'],\n",
        " 'R196': ['PROSPECT PARK', 'BQS'],\n",
        " 'R197': ['36 ST', 'DNR'],\n",
        " 'R198': ['NOSTRAND AVE', 'AC'],\n",
        " 'R199': ['KINGSTON-THROOP', 'C'],\n",
        " 'R200': ['EUCLID AVE', 'AC'],\n",
        " 'R201': ['WOODHAVEN BLVD', 'MR'],\n",
        " 'R202': ['63 DR-REGO PARK', 'MR'],\n",
        " 'R203': ['23 ST-6 AVE', 'FM'],\n",
        " 'R204': ['CHURCH AVE', 'FG'],\n",
        " 'R205': ['149 ST-GR CONC', '245'],\n",
        " 'R206': ['125 ST', '23'],\n",
        " 'R207': ['135 ST', '23'],\n",
        " 'R208': ['103 ST-CORONA', '7'],\n",
        " 'R209': ['STERLING ST', '25'],\n",
        " 'R210': ['BEVERLY ROAD', '25'],\n",
        " 'R211': ['KINGS HIGHWAY', 'BQ'],\n",
        " 'R212': ['59 ST', 'NR'],\n",
        " 'R213': ['BAY RIDGE AVE', 'R'],\n",
        " 'R214': ['77 ST', 'R'],\n",
        " 'R215': ['86 ST', 'R'],\n",
        " 'R216': ['BAY RIDGE-95 ST', 'R'],\n",
        " 'R217': ['HOYT/SCHERMER', 'ACG'],\n",
        " 'R218': ['ELMHURST AVE', 'MR'],\n",
        " 'R219': ['67 AVE', 'MR'],\n",
        " 'R220': ['CARROLL ST', 'FG'],\n",
        " 'R221': ['167 ST', '4'],\n",
        " 'R222': ['E 177 ST-PARKCH', '6'],\n",
        " 'R223': ['46 ST-BLISS ST', '7'],\n",
        " 'R224': ['CLARK ST', '23'],\n",
        " 'R225': ['HOYT ST', '23'],\n",
        " 'R226': ['GUN HILL ROAD', '5'],\n",
        " 'R227': ['RECTOR ST', 'R'],\n",
        " 'R228': ['AVE J', 'BQ'],\n",
        " 'R229': ['AVE M', 'BQ'],\n",
        " 'R230': ['NECK ROAD', 'BQ'],\n",
        " 'R231': ['UNION ST', 'R'],\n",
        " 'R232': ['45 ST', 'R'],\n",
        " 'R233': ['53 ST', 'R'],\n",
        " 'R234': ['50 ST', 'D'],\n",
        " 'R235': ['BEDFORD AVE', 'L'],\n",
        " 'R236': ['DEKALB AVE', 'L'],\n",
        " 'R237': ['182-183 ST', 'BD'],\n",
        " 'R238': ['STEINWAY ST', 'MR'],\n",
        " 'R239': ['GREENPOINT AVE', 'G'],\n",
        " 'R240': ['GRAND ST', 'BD'],\n",
        " 'R241': ['15 ST-PROSPECT', 'FG'],\n",
        " 'R242': ['18 AVE', 'F'],\n",
        " 'R243': ['170 ST', '4'],\n",
        " 'R244': ['BURNSIDE AVE', '4'],\n",
        " 'R245': ['ST LAWRENCE AVE', '6'],\n",
        " 'R246': ['PROSPECT AVE', 'R'],\n",
        " 'R247': ['55 ST', 'D'],\n",
        " 'R248': ['1 AVE', 'L'],\n",
        " 'R249': ['GRAHAM AVE', 'L'],\n",
        " 'R250': ['GRAND ST', 'L'],\n",
        " 'R251': ['96 ST', 'BC'],\n",
        " 'R252': ['HIGH ST', 'AC'],\n",
        " 'R253': ['174-175 ST', 'BD'],\n",
        " 'R254': ['GRAND AV-NEWTON', 'MR'],\n",
        " 'R255': ['VAN WYCK BLVD', 'EF'],\n",
        " 'R256': ['NASSAU AV', 'G'],\n",
        " 'R257': ['EAST BROADWAY', 'F'],\n",
        " 'R258': ['9 ST', 'DFGMNR'],\n",
        " 'R259': ['ROOSEVELT IS', 'F'],\n",
        " 'R260': ['181 ST', '1'],\n",
        " 'R261': ['40 ST-LOWERY ST', '7'],\n",
        " 'R262': ['BEVERLEY ROAD', 'BQ'],\n",
        " 'R263': ['AVE H', 'BQ'],\n",
        " 'R264': ['OCEAN PARKWAY', 'Q'],\n",
        " 'R265': ['MONTROSE AVE', 'L'],\n",
        " 'R266': ['HALSEY ST', 'L'],\n",
        " 'R267': ['46 ST', 'MR'],\n",
        " 'R268': ['LORIMER ST', 'GL'],\n",
        " 'R269': ['BEDFORD/NOSTRAN', 'G'],\n",
        " 'R270': ['SMITH-9 ST', 'FG'],\n",
        " 'R271': ['AVE X', 'F'],\n",
        " 'R272': ['28 ST', '1'],\n",
        " 'R273': ['145 ST', '1'],\n",
        " 'R274': ['191 ST', '1'],\n",
        " 'R275': ['183 ST', '4'],\n",
        " 'R276': ['VERNON/JACKSON', '7'],\n",
        " 'R277': ['PRESIDENT ST', '25'],\n",
        " 'R278': ['25 ST', 'R'],\n",
        " 'R279': ['JEFFERSON ST', 'L'],\n",
        " 'R280': ['190 ST', 'A'],\n",
        " 'R281': ['72 ST', 'BC'],\n",
        " 'R282': ['SPRING ST', 'CE'],\n",
        " 'R283': ['LAFAYETTE AVE', 'C'],\n",
        " 'R284': ['CLINTON-WASH AV', 'C'],\n",
        " 'R285': ['FAR ROCKAWAY', 'A'],\n",
        " 'R286': ['MYRTLE-WILLOUGH', 'G'],\n",
        " 'R287': ['CLASSON AVE', 'G'],\n",
        " 'R288': ['7 AV-PARK SLOPE', 'FG'],\n",
        " 'R289': ['FT HAMILTON PKY', 'FG'],\n",
        " 'R290': ['HOUSTON ST', '1'],\n",
        " 'R291': ['33 ST/RAWSON ST', '7'],\n",
        " 'R292': ['BAYCHESTER AVE', '5'],\n",
        " 'R293': ['34 ST-PENN STA', '123ACE'],\n",
        " 'R294': ['MORGAN AVE', 'L'],\n",
        " 'R295': ['WILSON AVE', 'L'],\n",
        " 'R296': ['163 ST-AMSTERDM', 'C'],\n",
        " 'R297': ['FRANKLIN AVE', 'ACS'],\n",
        " 'R298': ['NORTHERN BLVD', 'MR'],\n",
        " 'R299': ['BROADWAY', 'G'],\n",
        " 'R300': ['2 AVE', 'F'],\n",
        " 'R301': ['YORK ST', 'F'],\n",
        " 'R302': ['57 ST', 'F'],\n",
        " 'R303': ['21 ST', 'F'],\n",
        " 'R304': ['RECTOR ST', '1'],\n",
        " 'R305': ['CORTLANDT ST', '1'],\n",
        " 'R306': ['238 ST', '1'],\n",
        " 'R307': ['138 ST-GR CONC', '45'],\n",
        " 'R308': ['MT EDEN AVE', '4'],\n",
        " 'R309': ['176 ST', '4'],\n",
        " 'R310': ['111 ST', '7'],\n",
        " 'R311': ['BOWERY', 'JZ'],\n",
        " 'R312': ['W 8 ST-AQUARIUM', 'FQ'],\n",
        " 'R313': ['BUSHWICK AVE', 'L'],\n",
        " 'R314': ['103 ST', 'BC'],\n",
        " 'R315': ['155 ST', 'BD'],\n",
        " 'R316': ['FLUSHING AVE', 'G'],\n",
        " 'R317': ['CLINTON-WASH AV', 'G'],\n",
        " 'R318': ['FULTON ST', 'G'],\n",
        " 'R319': ['LEXINGTON AVE', 'F'],\n",
        " 'R320': ['CANAL ST', '1'],\n",
        " 'R321': ['18 ST', '1'],\n",
        " 'R322': ['SPRING ST', '6'],\n",
        " 'R323': ['110 ST-CPN', '23'],\n",
        " 'R324': ['116 ST', '23'],\n",
        " 'R325': ['WHITLOCK AVE', '6'],\n",
        " 'R326': ['ZEREGA AVE', '6'],\n",
        " 'R327': ['52 ST-LINCOLN', '7'],\n",
        " 'R328': ['METS-WILLETS PT', '7'],\n",
        " 'R329': ['MORRIS PARK', '5'],\n",
        " 'R330': ['3 AVE', 'L'],\n",
        " 'R331': ['155 ST', 'C'],\n",
        " 'R332': ['135 ST', 'BC'],\n",
        " 'R333': ['116 ST', 'BC'],\n",
        " 'R334': ['CATHEDRL-110 ST', 'BC'],\n",
        " 'R335': ['BEACH 67 ST', 'A'],\n",
        " 'R336': ['BEACH 60 ST', 'A'],\n",
        " 'R337': ['BEACH 44 ST', 'A'],\n",
        " 'R338': ['BEACH 36 ST', 'A'],\n",
        " 'R339': ['36 ST', 'MR'],\n",
        " 'R340': ['65 ST', 'MR'],\n",
        " 'R341': ['75 AVE', 'EF'],\n",
        " 'R342': ['JAMAICA-VAN WYC', 'E'],\n",
        " 'R343': ['FRANKLIN ST', '1'],\n",
        " 'R344': ['145 ST', '3'],\n",
        " 'R345': ['148 ST-LENOX', '3'],\n",
        " 'R346': ['COURT SQ', '7'],\n",
        " 'R347': ['69 ST-FISK AVE', '7'],\n",
        " 'R348': ['ATLANTIC AVE', 'L'],\n",
        " 'R349': ['SUTTER AVE', 'L'],\n",
        " 'R350': ['LIVONIA AVE', 'L'],\n",
        " 'R352': ['HEWES ST', 'JM'],\n",
        " 'R353': ['LORIMER ST', 'JM'],\n",
        " 'R354': ['OXFORD-104 ST', 'A'],\n",
        " 'R355': ['GREENWOOD-111', 'A'],\n",
        " 'R356': ['LEFFERTS BLVD', 'A'],\n",
        " 'R357': ['AQUEDUCT-N CNDT', 'A'],\n",
        " 'R358': ['BEACH 25 ST', 'A'],\n",
        " 'R359': ['COURT SQ', 'EMG'],\n",
        " 'R360': ['VAN ALSTON-21ST', 'G'],\n",
        " 'R361': ['PELHAM PARKWAY', '25'],\n",
        " 'R362': ['ALLERTON AVE', '25'],\n",
        " 'R363': ['BURKE AVE', '25'],\n",
        " 'R364': ['GUN HILL ROAD', '25'],\n",
        " 'R365': ['219 ST', '25'],\n",
        " 'R366': ['225 ST', '25'],\n",
        " 'R367': ['233 ST', '25'],\n",
        " 'R368': ['9 AVE', 'D'],\n",
        " 'R369': ['FT HAMILTON PKY', 'D'],\n",
        " 'R370': ['71 ST', 'D'],\n",
        " 'R371': ['79 ST', 'D'],\n",
        " 'R372': ['18 AVE', 'D'],\n",
        " 'R373': ['20 AVE', 'D'],\n",
        " 'R374': ['BAY PARKWAY', 'D'],\n",
        " 'R375': ['NEW LOTS AVE', 'L'],\n",
        " 'R376': ['EAST 105 ST', 'L'],\n",
        " 'R377': ['FLUSHING AVE', 'JM'],\n",
        " 'R378': ['MYRTLE AVE', 'JMZ'],\n",
        " 'R379': ['KOSCIUSZKO ST', 'J'],\n",
        " 'R380': ['GATES AVE', 'JZ'],\n",
        " 'R381': ['HALSEY ST', 'J'],\n",
        " 'R382': ['GRANT AVE', 'A'],\n",
        " 'R383': ['HUDSON-80 ST', 'A'],\n",
        " 'R384': ['BOYD-88 ST', 'A'],\n",
        " 'R385': ['ROCKAWAY BLVD', 'A'],\n",
        " 'R386': ['174 ST', '25'],\n",
        " 'R387': ['E TREMONT AVE', '25'],\n",
        " 'R388': ['E 180 ST', '25'],\n",
        " 'R389': ['BRONX PARK EAST', '25'],\n",
        " 'R390': ['8 AVE', 'N'],\n",
        " 'R391': ['FT HAMILTON PKY', 'N'],\n",
        " 'R392': ['18 AVE', 'N'],\n",
        " 'R393': ['20 AVE', 'N'],\n",
        " 'R394': ['BAY PKY-22 AVE', 'N'],\n",
        " 'R395': ['KINGS HIGHWAY', 'N'],\n",
        " 'R396': ['AVE U', 'N'],\n",
        " 'R397': ['86 ST', 'N'],\n",
        " 'R398': ['NEW UTRECHT AVE', 'ND'],\n",
        " 'R399': ['25 AVE', 'D'],\n",
        " 'R400': ['BAY 50 ST', 'D'],\n",
        " 'R401': ['CENTRAL AVE', 'M'],\n",
        " 'R402': ['SENECA AVE', 'M'],\n",
        " 'R403': ['FOREST AVE', 'M'],\n",
        " 'R404': ['FRESH POND ROAD', 'M'],\n",
        " 'R405': ['JACKSON AVE', '25'],\n",
        " 'R406': ['PROSPECT AVE', '25'],\n",
        " 'R407': ['INTERVALE-163', '25'],\n",
        " 'R408': ['SIMPSON ST', '25'],\n",
        " 'R409': ['FREEMAN ST', '25'],\n",
        " 'R410': ['NYC & CO - 7 AV', '1'],\n",
        " 'R411': ['PARK PLACE', 'S'],\n",
        " 'R412': ['BOTANIC GARDEN', 'S2345'],\n",
        " 'R413': ['KNICKERBOCKER', 'M'],\n",
        " 'R414': ['HOWARD BCH-JFK', 'A'],\n",
        " 'R415': ['BROAD CHANNEL', 'AS'],\n",
        " 'R416': ['BEACH 90 ST', 'AS'],\n",
        " 'R417': ['BEACH 98 ST', 'AS'],\n",
        " 'R418': ['BEACH 105 ST', 'AS'],\n",
        " 'R419': ['ROCKAWAY PK 116', 'AS'],\n",
        " 'R420': ['DITMAS AVE', 'F'],\n",
        " 'R421': ['AVE I', 'F'],\n",
        " 'R422': ['22 AVE-BAY PKY', 'F'],\n",
        " 'R423': ['AVE N', 'F'],\n",
        " 'R424': ['AVE P', 'F'],\n",
        " 'R425': ['AVE U', 'F'],\n",
        " 'R426': ['NEPTUNE AVE', 'F'],\n",
        " 'R427': ['MIDDLETOWN ROAD', '6'],\n",
        " 'R428': ['BUHRE AVE', '6'],\n",
        " 'R429': ['PELHAM BAY PARK', '6'],\n",
        " 'R430': ['PELHAM PARKWAY', '5'],\n",
        " 'R431': ['DYRE AVE', '5'],\n",
        " 'R432': ['CHAUNCEY ST', 'JZ'],\n",
        " 'R433': ['ALABAMA AVE', 'J'],\n",
        " 'R434': ['VAN SICLEN AVE', 'JZ'],\n",
        " 'R435': ['CLEVELAND ST', 'J'],\n",
        " 'R436': ['NORWOOD AVE', 'JZ'],\n",
        " 'R437': ['CRESCENT ST', 'JZ'],\n",
        " 'R438': ['RALPH AVE', 'C'],\n",
        " 'R439': ['ROCKAWAY AVE', 'C'],\n",
        " 'R440': ['LIBERTY AVE', 'C'],\n",
        " 'R441': ['VAN SICLEN AVE', 'C'],\n",
        " 'R442': ['SHEPHERD AVE', 'C'],\n",
        " 'R443': ['170 ST', 'BD'],\n",
        " 'R444': ['NEREID AVE', '25'],\n",
        " 'R445': ['138 ST-3 AVE', '6'],\n",
        " 'R446': ['BROOK AVE', '6'],\n",
        " 'R447': ['CYPRESS AVE', '6'],\n",
        " 'R448': ['E 143 ST', '6'],\n",
        " 'R449': ['E 149 ST', '6'],\n",
        " 'R450': ['LONGWOOD AVE', '6'],\n",
        " 'R451': ['WINTHROP ST', '25'],\n",
        " 'R452': ['72 ST', '123'],\n",
        " 'R453': ['23 ST-6 AVE', 'FM'],\n",
        " 'R454': ['PROSPECT AVE', 'R'],\n",
        " 'R455': ['25 ST', 'R'],\n",
        " 'R456': ['HOYT ST', '23'],\n",
        " 'R457': ['METROCARD BUS 1', '23'],\n",
        " 'R458': ['METROCARD BUS 2', '23'],\n",
        " 'R459': ['ORCHARD BEACH', '6'],\n",
        " 'R460': ['MARCY AVE', 'JMZ'],\n",
        " 'R461': ['BROADWAY/LAFAY', 'BDFQ6'],\n",
        " 'R462': ['CANAL ST', 'JNQRZ6'],\n",
        " 'R463': ['CANAL ST', 'JNQRZ6'],\n",
        " 'R464': ['AQUEDUCT TRACK', 'A'],\n",
        " 'R465': ['METROCARD VAN-1', '1'],\n",
        " 'R466': ['METROCARD VAN-2', '1'],\n",
        " 'R467': ['METROCARD VAN-3', '1'],\n",
        " 'R468': ['RIT-MANHATTAN', 'R'],\n",
        " 'R469': ['RIT-ROOSEVELT', 'R'],\n",
        " 'R470': ['ELTINGVILLE PK', 'Z'],\n",
        " 'R526': ['LIB-HEMPSTEAD', 'F'],\n",
        " 'R532': ['WEST COUNTY CTR', '5'],\n",
        " 'R535': ['JFK HOWARD BCH', 'A'],\n",
        " 'R536': ['JFK JAMAICA CT1', 'E'],\n",
        " 'R537': ['JFK JAMAICA CT2', 'E'],\n",
        " 'R538': ['LGA AIRPORT CTB', '7'],\n",
        " 'R540': ['PATH WTC 2', '1'],\n",
        " 'R541': ['THIRTY THIRD ST', '1'],\n",
        " 'R542': ['TWENTY THIRD ST', '1'],\n",
        " 'R543': ['EXCHANGE PLACE', '1'],\n",
        " 'R544': ['HARRISON', '1'],\n",
        " 'R545': ['14TH STREET', '1'],\n",
        " 'R546': ['PAVONIA/NEWPORT', '1'],\n",
        " 'R547': ['9TH STREET', '1'],\n",
        " 'R548': ['CHRISTOPHER ST', '1'],\n",
        " 'R549': ['NEWARK HM HE', '1'],\n",
        " 'R550': ['LACKAWANNA', '1'],\n",
        " 'R551': ['GROVE STREET', '1'],\n",
        " 'R552': ['JOURNAL SQUARE', '1']}"
       ]
      }
     ],
     "prompt_number": 123
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "N = len(stations)\n",
      "[sta for sta in stations if '4' in sta[3] and sta[4] != 'PTH']"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 19,
       "text": [
        "[['R002', 'A077', 'FULTON ST', 'ACJZ2345', 'BMT'],\n",
        " ['R002', 'A081', 'FULTON ST', 'ACJZ2345', 'BMT'],\n",
        " ['R002', 'A082', 'FULTON ST', 'ACJZ2345', 'BMT'],\n",
        " ['R014', 'N095', 'FULTON ST', 'ACJZ2345', 'IND'],\n",
        " ['R014', 'R205', 'FULTON ST', 'ACJZ2345', 'IRT'],\n",
        " ['R014', 'R206', 'FULTON ST', '2345ACJZ', 'IRT'],\n",
        " ['R014', 'R208', 'FULTON ST', '2345ACJZ', 'IRT'],\n",
        " ['R014', 'R205A', 'FULTON ST', '2345ACJZ', 'IRT'],\n",
        " ['R028', 'R113A', 'FULTON ST', '2345ACJZ', 'IRT'],\n",
        " ['R028', 'R113', 'FULTON ST', '2345ACJZ', 'IRT'],\n",
        " ['R028', 'R114', 'FULTON ST', '2345ACJZ', 'IRT'],\n",
        " ['R041', 'R201', 'BOWLING GREEN', '45', 'IRT'],\n",
        " ['R041', 'R200A', 'BOWLING GREEN', '45', 'IRT'],\n",
        " ['R042', 'R202', 'BOWLING GREEN', '45', 'IRT'],\n",
        " ['R043', 'R203', 'WALL ST', '45', 'IRT'],\n",
        " ['R043', 'R203A', 'WALL ST', '45', 'IRT'],\n",
        " ['R043', 'R204', 'WALL ST', '45', 'IRT'],\n",
        " ['R043', 'R204A', 'WALL ST', '45', 'IRT'],\n",
        " ['R044', 'R210', 'BROOKLYN BRIDGE', '456JZ', 'IRT'],\n",
        " ['R044', 'A069', 'CHAMBERS ST', '456JZ', 'BMT'],\n",
        " ['R044', 'A071', 'CHAMBERS ST', 'JZ456', 'BMT'],\n",
        " ['R044', 'R210A', 'BROOKLYN BRIDGE', 'JZ456', 'IRT'],\n",
        " ['R045', 'R236', '42 ST-GRD CNTRL', '4567S', 'IRT'],\n",
        " ['R045', 'R233', '42 ST-GRD CNTRL', '4567S', 'IRT'],\n",
        " ['R046', 'R238', '42 ST-GRD CNTRL', '4567S', 'IRT'],\n",
        " ['R046', 'R237', '42 ST-GRD CNTRL', '4567S', 'IRT'],\n",
        " ['R046', 'R238A', '42 ST-GRD CNTRL', '4567S', 'IRT'],\n",
        " ['R047', 'R240', '42 ST-GRD CNTRL', '4567S', 'IRT'],\n",
        " ['R047', 'R237B', '42 ST-GRD CNTRL', '4567S', 'IRT'],\n",
        " ['R048', 'R241A', '42 ST-GRD CNTRL', '4567S', 'IRT'],\n",
        " ['R050', 'R244', '59 ST', '456NQR', 'IRT'],\n",
        " ['R050', 'R244A', '59 ST', '456NQR', 'IRT'],\n",
        " ['R050', 'A004', 'LEXINGTON AVE', '456NQR', 'BMT'],\n",
        " ['R051', 'R245', '59 ST', '456NQR', 'IRT'],\n",
        " ['R051', 'R245A', '59 ST', '456NQR', 'IRT'],\n",
        " ['R051', 'A002', 'LEXINGTON AVE', '456NQR', 'BMT'],\n",
        " ['R052', 'R294', 'WOODLAWN ROAD', '4', 'IRT'],\n",
        " ['R056', 'R608', 'NEVINS ST', '2345', 'IRT'],\n",
        " ['R056', 'R609', 'NEVINS ST', '2345', 'IRT'],\n",
        " ['R057', 'R610', 'ATLANTIC AVE', '2345BDNQR', 'IRT'],\n",
        " ['R057', 'B001', 'ATLANTIC AVE', '2345BDNQR', 'BMT'],\n",
        " ['R057', 'B002', 'ATLANTIC AVE', 'BDNQR2345', 'BMT'],\n",
        " ['R057', 'C009', 'PACIFIC ST', 'BDNQR2345', 'BMT'],\n",
        " ['R062', 'R626', 'CROWN HTS-UTICA', '34', 'IRT'],\n",
        " ['R062', 'R625', 'CROWN HTS-UTICA', '34', 'IRT'],\n",
        " ['R076', 'MCC07', '2 BDWY CUST SRV', '45', 'IRT'],\n",
        " ['R108', 'R602', 'BOROUGH HALL/CT', '2345R', 'IRT'],\n",
        " ['R108', 'C001', 'BOROUGH HALL/CT', '2345R', 'BMT'],\n",
        " ['R108', 'R601A', 'BOROUGH HALL/CT', 'R2345', 'IRT'],\n",
        " ['R108', 'R604', 'BOROUGH HALL/CT', '2345R', 'IRT'],\n",
        " ['R119', 'R289', 'FORDHAM ROAD', '4', 'IRT'],\n",
        " ['R123', 'R622', 'FRANKLIN AVE', '2345S', 'IRT'],\n",
        " ['R132', 'R258', '125 ST', '456', 'IRT'],\n",
        " ['R133', 'R293', 'MOSHOLU PARKWAY', '4', 'IRT'],\n",
        " ['R161', 'R290', 'KINGSBRIDGE RD', '4', 'IRT'],\n",
        " ['R170', 'A035', '14 ST-UNION SQ', 'LNQR456', 'BMT'],\n",
        " ['R170', 'R221', '14 ST-UNION SQ', 'LNQR456', 'IRT'],\n",
        " ['R170', 'A033', '14 ST-UNION SQ', '456LNQR', 'BMT'],\n",
        " ['R170', 'A034', '14 ST-UNION SQ', 'LNQR456', 'BMT'],\n",
        " ['R170', 'A036', '14 ST-UNION SQ', 'LNQR456', 'BMT'],\n",
        " ['R170', 'A037', '14 ST-UNION SQ', 'LNRQ456', 'BMT'],\n",
        " ['R179', 'R250', '86 ST', '456', 'IRT'],\n",
        " ['R179', 'R249', '86 ST', '456', 'IRT'],\n",
        " ['R183', 'R291', 'BEDFORD PARK BL', '4', 'IRT'],\n",
        " ['R195', 'N203', '161 ST-YANKEE', 'BD4', 'IND'],\n",
        " ['R195', 'N204', '161 ST-YANKEE', 'BD4', 'IND'],\n",
        " ['R195', 'N205', '161 ST-YANKEE', 'BD4', 'IND'],\n",
        " ['R195', 'R262', '161 ST-YANKEE', 'BD4', 'IRT'],\n",
        " ['R195', 'R262A', '161 ST-YANKEE', '4BD', 'IRT'],\n",
        " ['R195', 'R262B', '161 ST-YANKEE', '4BD', 'IRT'],\n",
        " ['R205', 'R261', '149 ST-GR CONC', '245', 'IRT'],\n",
        " ['R205', 'R260', '149 ST-GR CONC', '245', 'IRT'],\n",
        " ['R221', 'R283', '167 ST', '4', 'IRT'],\n",
        " ['R243', 'R284', '170 ST', '4', 'IRT'],\n",
        " ['R244', 'R287', 'BURNSIDE AVE', '4', 'IRT'],\n",
        " ['R275', 'R288', '183 ST', '4', 'IRT'],\n",
        " ['R307', 'R259', '138 ST-GR CONC', '45', 'IRT'],\n",
        " ['R308', 'R285', 'MT EDEN AVE', '4', 'IRT'],\n",
        " ['R309', 'R286', '176 ST', '4', 'IRT'],\n",
        " ['R412', 'B010', 'BOTANIC GARDEN', 'S2345', 'BMT']]"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# One Train Station "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "oneStation = [d for d in data if d[1]=='R183']\n",
      "\n",
      "X = {}\n",
      "for x in oneStation:\n",
      "    if x[2] not in X.keys():\n",
      "        X[x[2]] = x[3:]\n",
      "    else:\n",
      "        X[x[2]] += x[3:]\n",
      "X.keys()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 231,
       "text": [
        "['00-00-02', '00-00-03', '00-00-00', '00-00-01']"
       ]
      }
     ],
     "prompt_number": 231
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "k = X.keys()[0]\n",
      "X[k]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 87,
       "text": [
        "['02-15-14',\n",
        " '00:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-15-14',\n",
        " '04:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-15-14',\n",
        " '08:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-15-14',\n",
        " '12:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-15-14',\n",
        " '16:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-15-14',\n",
        " '18:23:46',\n",
        " 'DOOR OPEN',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-15-14',\n",
        " '18:28:38',\n",
        " 'DOOR CLOSE',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-15-14',\n",
        " '20:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569                                                                                                             ',\n",
        " '02-16-14',\n",
        " '00:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-16-14',\n",
        " '04:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-16-14',\n",
        " '08:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-16-14',\n",
        " '12:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-16-14',\n",
        " '16:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-16-14',\n",
        " '20:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-17-14',\n",
        " '00:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-17-14',\n",
        " '04:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569                                                                                                                  ',\n",
        " '02-17-14',\n",
        " '08:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-17-14',\n",
        " '12:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-17-14',\n",
        " '16:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-17-14',\n",
        " '20:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-18-14',\n",
        " '00:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-18-14',\n",
        " '04:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-18-14',\n",
        " '08:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-18-14',\n",
        " '08:24:50',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569                                                                                                                  ',\n",
        " '02-18-14',\n",
        " '08:26:11',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-18-14',\n",
        " '08:27:31',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-18-14',\n",
        " '08:28:52',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-18-14',\n",
        " '08:30:11',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-18-14',\n",
        " '12:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-18-14',\n",
        " '16:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-18-14',\n",
        " '20:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-19-14',\n",
        " '00:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569                                                                                                                  ',\n",
        " '02-19-14',\n",
        " '04:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-19-14',\n",
        " '07:56:52',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-19-14',\n",
        " '08:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-19-14',\n",
        " '12:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000569',\n",
        " '02-19-14',\n",
        " '16:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-19-14',\n",
        " '20:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-20-14',\n",
        " '00:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-20-14',\n",
        " '04:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570                                                                                                                  ',\n",
        " '02-20-14',\n",
        " '08:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-20-14',\n",
        " '12:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-20-14',\n",
        " '16:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-20-14',\n",
        " '17:41:19',\n",
        " 'DOOR OPEN',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-20-14',\n",
        " '17:49:17',\n",
        " 'DOOR CLOSE',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-20-14',\n",
        " '20:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-21-14',\n",
        " '00:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-21-14',\n",
        " '04:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570                                                                                                             ',\n",
        " '02-21-14',\n",
        " '08:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-21-14',\n",
        " '12:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-21-14',\n",
        " '16:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570',\n",
        " '02-21-14',\n",
        " '20:00:00',\n",
        " 'REGULAR',\n",
        " '000000000',\n",
        " '000000570                                                                                                                                                                                                                                                                                                          ']"
       ]
      }
     ],
     "prompt_number": 87
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Construct a time series"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "T =  np.array([24*int(X[k][5*t].split('-')[1])  + int(X[k][5*t+1].split(':')[0]) for t in range(len(X[k])/5) ])\n",
      "D =  np.array([X[k][5*t][:-3] for t in range(len(X[k])/5) ])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 156
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "In = np.array([ int(X[k][5*t+3]) for t in range(len(X[k])/5) ])\n",
      "Out = np.array([ int(X[k][5*t+4]) for t in range(len(X[k])/5) ])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 157
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Interpolation\n",
      "\n",
      "* Notice **Monday February 17, 2014** was the **President's Day** Holiday"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import random"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 106
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Official Subway [Colors](http://web.mta.info/developers/resources/line_colors.htm)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "color = {}\n",
      "\n",
      "color['A'] = '#2850AD'\n",
      "color['C'] = '#2850AD'\n",
      "color['E'] = '#2850AD'\n",
      "\n",
      "color['B'] = '#FF6319'\n",
      "color['D'] = '#FF6319'\n",
      "color['F'] = '#FF6319'\n",
      "color['M'] = '#FF6319'\n",
      "\n",
      "color['G'] = '#6CBE45'\n",
      "\n",
      "color['J'] = '#996633'\n",
      "color['Z'] = '#996633'\n",
      "\n",
      "color['L'] = '#A7A9AC'\n",
      "\n",
      "color['N'] = '#FCCC0A'\n",
      "color['Q'] = '#FCCC0A'\n",
      "color['R'] = '#FCCC0A'\n",
      "\n",
      "color['S'] = '#808183'\n",
      "\n",
      "color['1'] = '#EE352E'\n",
      "color['2'] = '#EE352E'\n",
      "color['3'] = '#EE352E'\n",
      "\n",
      "color['4'] = '#00933C'\n",
      "color['5'] = '#00933C'\n",
      "color['6'] = '#00933C'\n",
      "\n",
      "color['7'] = '#B933AD'"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 130
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sta = random.choice(remoteToStations.keys())\n",
      "print sta, remoteToStations[sta]\n",
      "oneStation = [d for d in data if d[1]==sta]\n",
      "\n",
      "Y = []\n",
      "for x in oneStation:\n",
      "    Y += x[3:]\n",
      "\n",
      "for t in range(len(Y)/5):\n",
      "    print [Y[5*t + k] for k in range(5)]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "R113 ['7 AVE-53 ST', 'BDE']\n",
        "['06-14-14', '01:00:00', 'REGULAR', '000006932', '000016621']\n",
        "['06-14-14', '05:00:00', 'REGULAR', '000006940', '000016632']\n",
        "['06-14-14', '09:00:00', 'REGULAR', '000006955', '000016691']\n",
        "['06-14-14', '13:00:00', 'REGULAR', '000007024', '000016857']\n",
        "['06-14-14', '17:00:00', 'REGULAR', '000007101', '000017106']\n",
        "['06-14-14', '21:00:00', 'REGULAR', '000007171', '000017378']\n",
        "['06-15-14', '01:00:00', 'REGULAR', '000007214', '000017490']\n",
        "['06-15-14', '05:00:00', 'REGULAR', '000007236', '000017507                                                                                                                  ']\n",
        "['06-15-14', '09:00:00', 'REGULAR', '000007245', '000017540']\n",
        "['06-15-14', '13:00:00', 'REGULAR', '000007281', '000017702']\n",
        "['06-15-14', '17:00:00', 'REGULAR', '000007334', '000017925']\n",
        "['06-15-14', '21:00:00', 'REGULAR', '000007389', '000018106']\n",
        "['06-16-14', '01:00:00', 'REGULAR', '000007419', '000018156']\n",
        "['06-16-14', '05:00:00', 'REGULAR', '000007421', '000018169']\n",
        "['06-16-14', '09:00:00', 'REGULAR', '000007462', '000018532']\n",
        "['06-16-14', '13:00:00', 'REGULAR', '000007546', '000018961                                                                                                                  ']\n",
        "['06-16-14', '17:00:00', 'REGULAR', '000007699', '000019290']\n",
        "['06-16-14', '21:00:00', 'REGULAR', '000007944', '000019679']\n",
        "['06-17-14', '01:00:00', 'REGULAR', '000008006', '000019742']\n",
        "['06-17-14', '05:00:00', 'REGULAR', '000008010', '000019754']\n",
        "['06-17-14', '09:00:00', 'REGULAR', '000008052', '000020178']\n",
        "['06-17-14', '13:00:00', 'REGULAR', '000008130', '000020765']\n",
        "['06-17-14', '17:00:00', 'REGULAR', '000008307', '000021089']\n",
        "['06-17-14', '21:00:00', 'REGULAR', '000008588', '000021556                                                                                                                  ']\n",
        "['06-18-14', '01:00:00', 'REGULAR', '000008660', '000021647']\n",
        "['06-18-14', '05:00:00', 'REGULAR', '000008663', '000021655']\n",
        "['06-18-14', '09:00:00', 'REGULAR', '000008712', '000022039']\n",
        "['06-18-14', '13:00:00', 'REGULAR', '000008802', '000022504']\n",
        "['06-18-14', '17:00:00', 'REGULAR', '000009002', '000022926']\n",
        "['06-18-14', '21:00:00', 'REGULAR', '000009289', '000023409']\n",
        "['06-19-14', '01:00:00', 'REGULAR', '000009357', '000023494']\n",
        "['06-19-14', '05:00:00', 'REGULAR', '000009361', '000023507                                                                                                                  ']\n",
        "['06-19-14', '09:00:00', 'REGULAR', '000009400', '000023868']\n",
        "['06-19-14', '11:04:24', 'DOOR OPEN', '000009439', '000024243']\n",
        "['06-19-14', '11:10:06', 'LOGON', '000009439', '000024243']\n",
        "['06-19-14', '14:31:10', 'LOGON', '000000000', '000000094']\n",
        "['06-19-14', '14:31:15', 'LGF-MAN', '000000000', '000000094']\n",
        "['06-19-14', '14:33:18', 'DOOR CLOSE', '000000006', '000000100']\n",
        "['06-19-14', '17:00:00', 'REGULAR', '000000141', '000000345']\n",
        "['06-19-14', '21:00:00', 'REGULAR', '000000392', '000000872                                                                                                                 ']\n",
        "['06-20-14', '01:00:00', 'REGULAR', '000000483', '000000995']\n",
        "['06-20-14', '05:00:00', 'REGULAR', '000000490', '000001004']\n",
        "['06-20-14', '09:00:00', 'REGULAR', '000000537', '000001328']\n",
        "['06-20-14', '12:49:53', 'DOOR OPEN', '000000601', '000001726']\n",
        "['06-20-14', '12:50:01', 'DOOR OPEN', '000000601', '000001726']\n",
        "['06-20-14', '13:07:05', 'DOOR CLOSE', '000000000', '000000000']\n",
        "['06-20-14', '17:00:00', 'REGULAR', '000000195', '000000420']\n",
        "['06-20-14', '21:00:00', 'REGULAR', '000000432', '000000936                                                                                                           ']\n",
        "['06-14-14', '01:00:00', 'REGULAR', '003993066', '007840804']\n",
        "['06-14-14', '05:00:00', 'REGULAR', '003993098', '007840825']\n",
        "['06-14-14', '09:00:00', 'REGULAR', '003993142', '007841011']\n",
        "['06-14-14', '13:00:00', 'REGULAR', '003993268', '007841268']\n",
        "['06-14-14', '17:00:00', 'REGULAR', '003993406', '007841621']\n",
        "['06-14-14', '21:00:00', 'REGULAR', '003993571', '007841896']\n",
        "['06-15-14', '01:00:00', 'REGULAR', '003993725', '007842028']\n",
        "['06-15-14', '05:00:00', 'REGULAR', '003993763', '007842056                                                                                                                  ']\n",
        "['06-15-14', '09:00:00', 'REGULAR', '003993788', '007842168']\n",
        "['06-15-14', '13:00:00', 'REGULAR', '003993869', '007842462']\n",
        "['06-15-14', '17:00:00', 'REGULAR', '003993973', '007842745']\n",
        "['06-15-14', '21:00:00', 'REGULAR', '003994092', '007842965']\n",
        "['06-16-14', '01:00:00', 'REGULAR', '003994164', '007843086']\n",
        "['06-16-14', '05:00:00', 'REGULAR', '003994169', '007843098']\n",
        "['06-16-14', '09:00:00', 'REGULAR', '003994241', '007843850']\n",
        "['06-16-14', '13:00:00', 'REGULAR', '003994369', '007844578                                                                                                                  ']\n",
        "['06-16-14', '17:00:00', 'REGULAR', '003994658', '007844995']\n",
        "['06-16-14', '21:00:00', 'REGULAR', '003995216', '007845345']\n",
        "['06-17-14', '01:00:00', 'REGULAR', '003995357', '007845428']\n",
        "['06-17-14', '05:00:00', 'REGULAR', '003995371', '007845447']\n",
        "['06-17-14', '09:00:00', 'REGULAR', '003995422', '007846196']\n",
        "['06-17-14', '13:00:00', 'REGULAR', '003995550', '007847028']\n",
        "['06-17-14', '17:00:00', 'REGULAR', '003995867', '007847470']\n",
        "['06-17-14', '21:00:00', 'REGULAR', '003996428', '007847919                                                                                                                  ']\n",
        "['06-18-14', '01:00:00', 'REGULAR', '003996607', '007848048']\n",
        "['06-18-14', '05:00:00', 'REGULAR', '003996621', '007848055']\n",
        "['06-18-14', '09:00:00', 'REGULAR', '003996679', '007848854']\n",
        "['06-18-14', '13:00:00', 'REGULAR', '003996812', '007849675']\n",
        "['06-18-14', '17:00:00', 'REGULAR', '003997167', '007850181']\n",
        "['06-18-14', '21:00:00', 'REGULAR', '003997709', '007850630']\n",
        "['06-19-14', '01:00:00', 'REGULAR', '003997865', '007850791']\n",
        "['06-19-14', '05:00:00', 'REGULAR', '003997872', '007850804                                                                                                                  ']\n",
        "['06-19-14', '09:00:00', 'REGULAR', '003997926', '007851500']\n",
        "['06-19-14', '13:00:00', 'REGULAR', '003998090', '007852318']\n",
        "['06-19-14', '17:00:00', 'REGULAR', '003998404', '007852780']\n",
        "['06-19-14', '21:00:00', 'REGULAR', '003998954', '007853283']\n",
        "['06-20-14', '01:00:00', 'REGULAR', '003999106', '007853432']\n",
        "['06-20-14', '05:00:00', 'REGULAR', '003999122', '007853442']\n",
        "['06-20-14', '09:00:00', 'REGULAR', '003999182', '007854057']\n",
        "['06-20-14', '13:00:00', 'REGULAR', '003999323', '007854832                                                                                                                  ']\n",
        "['06-20-14', '17:00:00', 'REGULAR', '003999654', '007855354']\n",
        "['06-20-14', '21:00:00', 'REGULAR', '004000093', '007855828                                                                                                                                                                                                                                                                                                                                                                                                      ']\n",
        "['06-14-14', '01:00:00', 'REGULAR', '004099490', '006515934']\n",
        "['06-14-14', '05:00:00', 'REGULAR', '004099532', '006515962']\n",
        "['06-14-14', '09:00:00', 'REGULAR', '004099574', '006516140']\n",
        "['06-14-14', '13:00:00', 'REGULAR', '004099690', '006516368']\n",
        "['06-14-14', '17:00:00', 'REGULAR', '004099858', '006516625']\n",
        "['06-14-14', '21:00:00', 'REGULAR', '004100036', '006516845']\n",
        "['06-15-14', '01:00:00', 'REGULAR', '004100212', '006516955']\n",
        "['06-15-14', '05:00:00', 'REGULAR', '004100255', '006516988                                                                                                                  ']\n",
        "['06-15-14', '09:00:00', 'REGULAR', '004100296', '006517114']\n",
        "['06-15-14', '13:00:00', 'REGULAR', '004100420', '006517344']\n",
        "['06-15-14', '17:00:00', 'REGULAR', '004100528', '006517597']\n",
        "['06-15-14', '21:00:00', 'REGULAR', '004100675', '006517764']\n",
        "['06-16-14', '01:00:00', 'REGULAR', '004100769', '006517846']\n",
        "['06-16-14', '05:00:00', 'REGULAR', '004100792', '006517866']\n",
        "['06-16-14', '09:00:00', 'REGULAR', '004100865', '006518543']\n",
        "['06-16-14', '13:00:00', 'REGULAR', '004101005', '006519201                                                                                                                  ']\n",
        "['06-16-14', '17:00:00', 'REGULAR', '004101372', '006519552']\n",
        "['06-16-14', '21:00:00', 'REGULAR', '004101978', '006519796']\n",
        "['06-17-14', '01:00:00', 'REGULAR', '004102133', '006519870']\n",
        "['06-17-14', '05:00:00', 'REGULAR', '004102149', '006519881']\n",
        "['06-17-14', '09:00:00', 'REGULAR', '004102241', '006520592']\n",
        "['06-17-14', '13:00:00', 'REGULAR', '004102401', '006521364']\n",
        "['06-17-14', '17:00:00', 'REGULAR', '004102723', '006521731']\n",
        "['06-17-14', '21:00:00', 'REGULAR', '004103361', '006522070                                                                                                                  ']\n",
        "['06-18-14', '01:00:00', 'REGULAR', '004103578', '006522183']\n",
        "['06-18-14', '05:00:00', 'REGULAR', '004103599', '006522193']\n",
        "['06-18-14', '09:00:00', 'REGULAR', '004103689', '006522891']\n",
        "['06-18-14', '13:00:00', 'REGULAR', '004103839', '006523675']\n",
        "['06-18-14', '17:00:00', 'REGULAR', '004104203', '006524109']\n",
        "['06-18-14', '21:00:00', 'REGULAR', '004104882', '006524428']\n",
        "['06-19-14', '01:00:00', 'REGULAR', '004105062', '006524567']\n",
        "['06-19-14', '05:00:00', 'REGULAR', '004105092', '006524577                                                                                                                  ']\n",
        "['06-19-14', '09:00:00', 'REGULAR', '004105180', '006525241']\n",
        "['06-19-14', '13:00:00', 'REGULAR', '004105356', '006526138']\n",
        "['06-19-14', '17:00:00', 'REGULAR', '004105725', '006526567']\n",
        "['06-19-14', '21:00:00', 'REGULAR', '004106391', '006526894']\n",
        "['06-20-14', '01:00:00', 'REGULAR', '004106601', '006527023']\n",
        "['06-20-14', '05:00:00', 'REGULAR', '004106629', '006527040']\n",
        "['06-20-14', '09:00:00', 'REGULAR', '004106707', '006527657']\n",
        "['06-20-14', '13:00:00', 'REGULAR', '004106902', '006528355                                                                                                                  ']\n",
        "['06-20-14', '17:00:00', 'REGULAR', '004107290', '006528745']\n",
        "['06-20-14', '21:00:00', 'REGULAR', '004107806', '006529115                                                                                                                                                                                                                                                                                                                                                                                                      ']\n",
        "['06-14-14', '01:00:00', 'REGULAR', '005021629', '005041260']\n",
        "['06-14-14', '05:00:00', 'REGULAR', '005021671', '005041278']\n",
        "['06-14-14', '09:00:00', 'REGULAR', '005021720', '005041370']\n",
        "['06-14-14', '13:00:00', 'REGULAR', '005021834', '005041505']\n",
        "['06-14-14', '17:00:00', 'REGULAR', '005022023', '005041687']\n",
        "['06-14-14', '21:00:00', 'REGULAR', '005022231', '005041824']\n",
        "['06-15-14', '01:00:00', 'REGULAR', '005022411', '005041901']\n",
        "['06-15-14', '05:00:00', 'REGULAR', '005022445', '005041917                                                                                                                  ']\n",
        "['06-15-14', '09:00:00', 'REGULAR', '005022481', '005041997']\n",
        "['06-15-14', '13:00:00', 'REGULAR', '005022611', '005042140']\n",
        "['06-15-14', '17:00:00', 'REGULAR', '005022763', '005042317']\n",
        "['06-15-14', '21:00:00', 'REGULAR', '005022939', '005042428']\n",
        "['06-16-14', '01:00:00', 'REGULAR', '005023067', '005042480']\n",
        "['06-16-14', '05:00:00', 'REGULAR', '005023083', '005042489']\n",
        "['06-16-14', '09:00:00', 'REGULAR', '005023217', '005042939']\n",
        "['06-16-14', '13:00:00', 'REGULAR', '005023391', '005043435                                                                                                                  ']\n",
        "['06-16-14', '17:00:00', 'REGULAR', '005023745', '005043603']\n",
        "['06-16-14', '21:00:00', 'REGULAR', '005024445', '005043737']\n",
        "['06-17-14', '01:00:00', 'REGULAR', '005024611', '005043775']\n",
        "['06-17-14', '05:00:00', 'REGULAR', '005024632', '005043794']\n",
        "['06-17-14', '09:00:00', 'REGULAR', '005024766', '005044242']\n",
        "['06-17-14', '13:00:00', 'REGULAR', '005024972', '005044753']\n",
        "['06-17-14', '17:00:00', 'REGULAR', '005025366', '005044974']\n",
        "['06-17-14', '21:00:00', 'REGULAR', '005026160', '005045178                                                                                                                  ']\n",
        "['06-18-14', '01:00:00', 'REGULAR', '005026383', '005045278']\n",
        "['06-18-14', '05:00:00', 'REGULAR', '005026400', '005045292']\n",
        "['06-18-14', '09:00:00', 'REGULAR', '005026527', '005045713']\n",
        "['06-18-14', '13:00:00', 'REGULAR', '005026740', '005046201']\n",
        "['06-18-14', '17:00:00', 'REGULAR', '005027201', '005046433']\n",
        "['06-18-14', '21:00:00', 'REGULAR', '005027986', '005046606']\n",
        "['06-19-14', '01:00:00', 'REGULAR', '005028196', '005046698']\n",
        "['06-19-14', '05:00:00', 'REGULAR', '005028232', '005046709                                                                                                                  ']\n",
        "['06-19-14', '09:00:00', 'REGULAR', '005028379', '005047165']\n",
        "['06-19-14', '13:00:00', 'REGULAR', '005028624', '005047738']\n",
        "['06-19-14', '17:00:00', 'REGULAR', '005029052', '005047999']\n",
        "['06-19-14', '21:00:00', 'REGULAR', '005029825', '005048186']\n",
        "['06-20-14', '01:00:00', 'REGULAR', '005030067', '005048277']\n",
        "['06-20-14', '05:00:00', 'REGULAR', '005030110', '005048288']\n",
        "['06-20-14', '09:00:00', 'REGULAR', '005030246', '005048683']\n",
        "['06-20-14', '13:00:00', 'REGULAR', '005030472', '005049122                                                                                                                  ']\n",
        "['06-20-14', '17:00:00', 'REGULAR', '005030925', '005049382']\n",
        "['06-20-14', '21:00:00', 'REGULAR', '005031551', '005049562                                                                                                                                                                                                                                                                                                                                                                                                      ']\n",
        "['06-14-14', '01:00:00', 'REGULAR', '006478298', '002724560']\n",
        "['06-14-14', '05:00:00', 'REGULAR', '006478365', '002724580']\n",
        "['06-14-14', '09:00:00', 'REGULAR', '006478428', '002724657']\n",
        "['06-14-14', '13:00:00', 'REGULAR', '006478613', '002724775']\n",
        "['06-14-14', '17:00:00', 'REGULAR', '006478877', '002724903']\n",
        "['06-14-14', '21:00:00', 'REGULAR', '006479142', '002725034']\n",
        "['06-15-14', '01:00:00', 'REGULAR', '006479360', '002725092']\n",
        "['06-15-14', '05:00:00', 'REGULAR', '006479423', '002725113                                                                                                                  ']\n",
        "['06-15-14', '09:00:00', 'REGULAR', '006479475', '002725163']\n",
        "['06-15-14', '13:00:00', 'REGULAR', '006479649', '002725253']\n",
        "['06-15-14', '17:00:00', 'REGULAR', '006479819', '002725387']\n",
        "['06-15-14', '21:00:00', 'REGULAR', '006480069', '002725470']\n",
        "['06-16-14', '01:00:00', 'REGULAR', '006480220', '002725508']\n",
        "['06-16-14', '05:00:00', 'REGULAR', '006480254', '002725520']\n",
        "['06-16-14', '09:00:00', 'REGULAR', '006480471', '002725735']\n",
        "['06-16-14', '13:00:00', 'REGULAR', '006480717', '002725965                                                                                                                  ']\n",
        "['06-16-14', '17:00:00', 'REGULAR', '006481201', '002726059']\n",
        "['06-16-14', '21:00:00', 'REGULAR', '006482069', '002726157']\n",
        "['06-17-14', '01:00:00', 'REGULAR', '006482288', '002726195']\n",
        "['06-17-14', '05:00:00', 'REGULAR', '006482317', '002726203']\n",
        "['06-17-14', '09:00:00', 'REGULAR', '006482545', '002726401']\n",
        "['06-17-14', '13:00:00', 'REGULAR', '006482840', '002726609']\n",
        "['06-17-14', '17:00:00', 'REGULAR', '006483380', '002726724']\n",
        "['06-17-14', '21:00:00', 'REGULAR', '006484387', '002726846                                                                                                                  ']\n",
        "['06-18-14', '01:00:00', 'REGULAR', '006484680', '002726960']\n",
        "['06-18-14', '05:00:00', 'REGULAR', '006484730', '002726968']\n",
        "['06-18-14', '09:00:00', 'REGULAR', '006484965', '002727170']\n",
        "['06-18-14', '13:00:00', 'REGULAR', '006485311', '002727416']\n",
        "['06-18-14', '17:00:00', 'REGULAR', '006485919', '002727569']\n",
        "['06-18-14', '21:00:00', 'REGULAR', '006486864', '002727697']\n",
        "['06-19-14', '01:00:00', 'REGULAR', '006487135', '002727772']\n",
        "['06-19-14', '05:00:00', 'REGULAR', '006487178', '002727778                                                                                                                  ']\n",
        "['06-19-14', '09:00:00', 'REGULAR', '006487412', '002727970']\n",
        "['06-19-14', '11:42:50', 'DOOR OPEN', '006487671', '002728201']\n",
        "['06-19-14', '11:43:08', 'DOOR OPEN', '006487671', '002728201']\n",
        "['06-19-14', '11:47:31', 'LOGON', '006487671', '002728201']\n",
        "['06-19-14', '11:48:31', 'LGF-MAN', '006487671', '002728201']\n",
        "['06-19-14', '11:51:27', 'DOOR CLOSE', '006487672', '002728203']\n",
        "['06-19-14', '13:00:00', 'REGULAR', '006487776', '002728258']\n",
        "['06-19-14', '17:00:00', 'REGULAR', '006488382', '002728371                                                                                                             ']\n",
        "['06-19-14', '21:00:00', 'REGULAR', '006489335', '002728475']\n",
        "['06-20-14', '01:00:00', 'REGULAR', '006489643', '002728579']\n",
        "['06-20-14', '05:00:00', 'REGULAR', '006489680', '002728586']\n",
        "['06-20-14', '09:00:00', 'REGULAR', '006489891', '002728735']\n",
        "['06-20-14', '13:00:00', 'REGULAR', '006490237', '002728999']\n",
        "['06-20-14', '17:00:00', 'REGULAR', '006490846', '002729129']\n",
        "['06-20-14', '21:00:00', 'REGULAR', '006491658', '002729253                                                                                                                                                                ']\n",
        "['06-14-14', '01:00:00', 'REGULAR', '003057851', '003756136']\n",
        "['06-14-14', '05:00:00', 'REGULAR', '003057884', '003756166']\n",
        "['06-14-14', '09:00:00', 'REGULAR', '003057929', '003756325']\n",
        "['06-14-14', '13:00:00', 'REGULAR', '003058137', '003756578']\n",
        "['06-14-14', '17:00:00', 'REGULAR', '003058366', '003756921']\n",
        "['06-14-14', '21:00:00', 'REGULAR', '003058599', '003757186']\n",
        "['06-15-14', '01:00:00', 'REGULAR', '003058721', '003757311']\n",
        "['06-15-14', '05:00:00', 'REGULAR', '003058775', '003757348                                                                                                                  ']\n",
        "['06-15-14', '09:00:00', 'REGULAR', '003058816', '003757422']\n",
        "['06-15-14', '13:00:00', 'REGULAR', '003059001', '003757628']\n",
        "['06-15-14', '17:00:00', 'REGULAR', '003059201', '003757915']\n",
        "['06-15-14', '21:00:00', 'REGULAR', '003059330', '003758148']\n",
        "['06-16-14', '01:00:00', 'REGULAR', '003059416', '003758255']\n",
        "['06-16-14', '05:00:00', 'REGULAR', '003059433', '003758274']\n",
        "['06-16-14', '09:00:00', 'REGULAR', '003059520', '003759094']\n",
        "['06-16-14', '13:00:00', 'REGULAR', '003059744', '003759690                                                                                                                  ']\n",
        "['06-16-14', '17:00:00', 'REGULAR', '003060250', '003760053']\n",
        "['06-16-14', '21:00:00', 'REGULAR', '003061117', '003760434']\n",
        "['06-17-14', '01:00:00', 'REGULAR', '003061257', '003760531']\n",
        "['06-17-14', '05:00:00', 'REGULAR', '003061279', '003760551']\n",
        "['06-17-14', '09:00:00', 'REGULAR', '003061335', '003761426']\n",
        "['06-17-14', '13:00:00', 'REGULAR', '003061541', '003762089']\n",
        "['06-17-14', '17:00:00', 'REGULAR', '003062064', '003762474']\n",
        "['06-17-14', '21:00:00', 'REGULAR', '003063018', '003762905                                                                                                                  ']\n",
        "['06-18-14', '01:00:00', 'REGULAR', '003063174', '003763175']\n",
        "['06-18-14', '05:00:00', 'REGULAR', '003063189', '003763190']\n",
        "['06-18-14', '09:00:00', 'REGULAR', '003063270', '003764021']\n",
        "['06-18-14', '13:00:00', 'REGULAR', '003063508', '003764726']\n",
        "['06-18-14', '17:00:00', 'REGULAR', '003064024', '003765219']\n",
        "['06-18-14', '21:00:00', 'REGULAR', '003065037', '003765659']\n",
        "['06-19-14', '01:00:00', 'REGULAR', '003065203', '003765876']\n",
        "['06-19-14', '05:00:00', 'REGULAR', '003065221', '003765895                                                                                                                  ']\n",
        "['06-19-14', '09:00:00', 'REGULAR', '003065292', '003766692']\n",
        "['06-19-14', '12:01:07', 'DOOR OPEN', '003065499', '003767273']\n",
        "['06-19-14', '12:01:28', 'DOOR OPEN', '003065499', '003767273']\n",
        "['06-19-14', '12:06:30', 'LOGON', '003065499', '003767273']\n",
        "['06-19-14', '12:07:53', 'LGF-MAN', '003065499', '003767273']\n",
        "['06-19-14', '12:09:17', 'DOOR CLOSE', '003065503', '003767276']\n",
        "['06-19-14', '13:00:00', 'REGULAR', '003065596', '003767376']\n",
        "['06-19-14', '17:00:00', 'REGULAR', '003066161', '003767900                                                                                                             ']\n",
        "['06-19-14', '21:00:00', 'REGULAR', '003067198', '003768354']\n",
        "['06-20-14', '01:00:00', 'REGULAR', '003067380', '003768609']\n",
        "['06-20-14', '05:00:00', 'REGULAR', '003067411', '003768621']\n",
        "['06-20-14', '09:00:00', 'REGULAR', '003067484', '003769312']\n",
        "['06-20-14', '13:00:00', 'REGULAR', '003067732', '003769926']\n",
        "['06-20-14', '17:00:00', 'REGULAR', '003068386', '003770409']\n",
        "['06-20-14', '21:00:00', 'REGULAR', '003069190', '003770893                                                                                                                                                                ']\n",
        "['06-14-14', '01:00:00', 'REGULAR', '001319214', '001771938']\n",
        "['06-14-14', '05:00:00', 'REGULAR', '001319247', '001771972']\n",
        "['06-14-14', '09:00:00', 'REGULAR', '001319292', '001772253']\n",
        "['06-14-14', '13:00:00', 'REGULAR', '001319483', '001772533']\n",
        "['06-14-14', '17:00:00', 'REGULAR', '001319748', '001772889']\n",
        "['06-14-14', '21:00:00', 'REGULAR', '001320031', '001773093']\n",
        "['06-15-14', '01:00:00', 'REGULAR', '001320250', '001773200']\n",
        "['06-15-14', '05:00:00', 'REGULAR', '001320301', '001773232                                                                                                                  ']\n",
        "['06-15-14', '09:00:00', 'REGULAR', '001320347', '001773400']\n",
        "['06-15-14', '13:00:00', 'REGULAR', '001320513', '001773634']\n",
        "['06-15-14', '17:00:00', 'REGULAR', '001320751', '001773923']\n",
        "['06-15-14', '21:00:00', 'REGULAR', '001320938', '001774105']\n",
        "['06-16-14', '01:00:00', 'REGULAR', '001321054', '001774203']\n",
        "['06-16-14', '05:00:00', 'REGULAR', '001321071', '001774231']\n",
        "['06-16-14', '09:00:00', 'REGULAR', '001321136', '001775269']\n",
        "['06-16-14', '13:00:00', 'REGULAR', '001321342', '001776003                                                                                                                  ']\n",
        "['06-16-14', '17:00:00', 'REGULAR', '001321863', '001776407']\n",
        "['06-16-14', '21:00:00', 'REGULAR', '001322788', '001776668']\n",
        "['06-17-14', '01:00:00', 'REGULAR', '001322993', '001776771']\n",
        "['06-17-14', '05:00:00', 'REGULAR', '001323022', '001776808']\n",
        "['06-17-14', '09:00:00', 'REGULAR', '001323081', '001777937']\n",
        "['06-17-14', '13:00:00', 'REGULAR', '001323307', '001778738']\n",
        "['06-17-14', '17:00:00', 'REGULAR', '001323884', '001779170']\n",
        "['06-17-14', '21:00:00', 'REGULAR', '001325029', '001779535                                                                                                                  ']\n",
        "['06-18-14', '01:00:00', 'REGULAR', '001325228', '001779742']\n",
        "['06-18-14', '05:00:00', 'REGULAR', '001325248', '001779763']\n",
        "['06-18-14', '09:00:00', 'REGULAR', '001325301', '001780931']\n",
        "['06-18-14', '13:00:00', 'REGULAR', '001325512', '001781718']\n",
        "['06-18-14', '17:00:00', 'REGULAR', '001326062', '001782145']\n",
        "['06-18-14', '21:00:00', 'REGULAR', '001327154', '001782445']\n",
        "['06-19-14', '01:00:00', 'REGULAR', '001327377', '001782615']\n",
        "['06-19-14', '05:00:00', 'REGULAR', '001327403', '001782630                                                                                                                  ']\n",
        "['06-19-14', '09:00:00', 'REGULAR', '001327455', '001783733']\n",
        "['06-19-14', '12:09:36', 'DOOR OPEN', '001327633', '001784548']\n",
        "['06-19-14', '12:10:08', 'DOOR OPEN', '001327633', '001784548']\n",
        "['06-19-14', '12:16:30', 'LOGON', '001327633', '001784548']\n",
        "['06-19-14', '12:20:09', 'LGF-MAN', '001327633', '001784548']\n",
        "['06-19-14', '12:21:26', 'DOOR CLOSE', '001327634', '001784550']\n",
        "['06-19-14', '13:00:00', 'REGULAR', '001327685', '001784629']\n",
        "['06-19-14', '17:00:00', 'REGULAR', '001328283', '001785133                                                                                                             ']\n",
        "['06-19-14', '21:00:00', 'REGULAR', '001329387', '001785480']\n",
        "['06-20-14', '01:00:00', 'REGULAR', '001329616', '001785658']\n",
        "['06-20-14', '05:00:00', 'REGULAR', '001329642', '001785684']\n",
        "['06-20-14', '09:00:00', 'REGULAR', '001329688', '001786661']\n",
        "['06-20-14', '13:00:00', 'REGULAR', '001329941', '001787431']\n",
        "['06-20-14', '17:00:00', 'REGULAR', '001330640', '001787882']\n",
        "['06-20-14', '21:00:00', 'REGULAR', '001331583', '001788196                                                                                                                                                                ']\n",
        "['06-14-14', '01:00:00', 'REGULAR', '000971473', '001314724']\n",
        "['06-14-14', '05:00:00', 'REGULAR', '000971522', '001314763']\n",
        "['06-14-14', '09:00:00', 'REGULAR', '000971577', '001314993']\n",
        "['06-14-14', '13:00:00', 'REGULAR', '000971775', '001315230']\n",
        "['06-14-14', '17:00:00', 'REGULAR', '000972014', '001315533']\n",
        "['06-14-14', '21:00:00', 'REGULAR', '000972290', '001315736']\n",
        "['06-15-14', '01:00:00', 'REGULAR', '000972489', '001315858']\n",
        "['06-15-14', '05:00:00', 'REGULAR', '000972534', '001315881                                                                                                                  ']\n",
        "['06-15-14', '09:00:00', 'REGULAR', '000972586', '001316050']\n",
        "['06-15-14', '13:00:00', 'REGULAR', '000972749', '001316253']\n",
        "['06-15-14', '17:00:00', 'REGULAR', '000972942', '001316550']\n",
        "['06-15-14', '21:00:00', 'REGULAR', '000973124', '001316694']\n",
        "['06-16-14', '01:00:00', 'REGULAR', '000973244', '001316774']\n",
        "['06-16-14', '05:00:00', 'REGULAR', '000973258', '001316805']\n",
        "['06-16-14', '09:00:00', 'REGULAR', '000973331', '001317802']\n",
        "['06-16-14', '13:00:00', 'REGULAR', '000973511', '001318526                                                                                                                  ']\n",
        "['06-16-14', '17:00:00', 'REGULAR', '000973985', '001318856']\n",
        "['06-16-14', '21:00:00', 'REGULAR', '000974835', '001319167']\n",
        "['06-17-14', '01:00:00', 'REGULAR', '000974997', '001319260']\n",
        "['06-17-14', '05:00:00', 'REGULAR', '000975009', '001319293']\n",
        "['06-17-14', '09:00:00', 'REGULAR', '000975072', '001320367']\n",
        "['06-17-14', '13:00:00', 'REGULAR', '000975284', '001321162']\n",
        "['06-17-14', '17:00:00', 'REGULAR', '000975796', '001321584']\n",
        "['06-17-14', '21:00:00', 'REGULAR', '000976826', '001321911                                                                                                                  ']\n",
        "['06-18-14', '01:00:00', 'REGULAR', '000977029', '001322076']\n",
        "['06-18-14', '05:00:00', 'REGULAR', '000977060', '001322100']\n",
        "['06-18-14', '09:00:00', 'REGULAR', '000977131', '001323190']\n",
        "['06-18-14', '13:00:00', 'REGULAR', '000977353', '001324003']\n",
        "['06-18-14', '17:00:00', 'REGULAR', '000977879', '001324448']\n",
        "['06-18-14', '21:00:00', 'REGULAR', '000978932', '001324722']\n",
        "['06-19-14', '01:00:00', 'REGULAR', '000979127', '001324878']\n",
        "['06-19-14', '05:00:00', 'REGULAR', '000979153', '001324901                                                                                                                  ']\n",
        "['06-19-14', '09:00:00', 'REGULAR', '000979195', '001325973']\n",
        "['06-19-14', '12:36:00', 'DOOR OPEN', '000979411', '001326929']\n",
        "['06-19-14', '12:36:07', 'DOOR OPEN', '000979411', '001326929']\n",
        "['06-19-14', '12:41:59', 'LOGON', '000979411', '001326929']\n",
        "['06-19-14', '12:42:49', 'DOOR CLOSE', '000979411', '001326929']\n",
        "['06-19-14', '12:42:50', 'DOOR OPEN', '000979411', '001326929']\n",
        "['06-19-14', '12:43:40', 'LGF-MAN', '000979411', '001326929']\n",
        "['06-19-14', '12:47:04', 'DOOR CLOSE', '000979412', '001326930                                                                                                        ']\n",
        "['06-19-14', '13:00:00', 'REGULAR', '000979436', '001326951']\n",
        "['06-19-14', '17:00:00', 'REGULAR', '000980016', '001327467']\n",
        "['06-19-14', '21:00:00', 'REGULAR', '000981041', '001327803']\n",
        "['06-20-14', '01:00:00', 'REGULAR', '000981309', '001327945']\n",
        "['06-20-14', '05:00:00', 'REGULAR', '000981349', '001327966']\n",
        "['06-20-14', '09:00:00', 'REGULAR', '000981425', '001328915']\n",
        "['06-20-14', '13:00:00', 'REGULAR', '000981676', '001329675']\n",
        "['06-20-14', '17:00:00', 'REGULAR', '000982295', '001330134                                                                                                                  ']\n",
        "['06-20-14', '21:00:00', 'REGULAR', '000983119', '001330471                                                                                                                                                                                                                                                                                                                                                                                                                                                    ']\n",
        "['06-14-14', '01:00:00', 'REGULAR', '005297035', '005008990']\n",
        "['06-14-14', '05:00:00', 'REGULAR', '005297087', '005009016']\n",
        "['06-14-14', '09:00:00', 'REGULAR', '005297148', '005009173']\n",
        "['06-14-14', '13:00:00', 'REGULAR', '005297345', '005009382']\n",
        "['06-14-14', '17:00:00', 'REGULAR', '005297602', '005009591']\n",
        "['06-14-14', '21:00:00', 'REGULAR', '005297863', '005009750']\n",
        "['06-15-14', '01:00:00', 'REGULAR', '005298063', '005009831']\n",
        "['06-15-14', '05:00:00', 'REGULAR', '005298116', '005009865                                                                                                                  ']\n",
        "['06-15-14', '09:00:00', 'REGULAR', '005298178', '005009985']\n",
        "['06-15-14', '13:00:00', 'REGULAR', '005298336', '005010138']\n",
        "['06-15-14', '17:00:00', 'REGULAR', '005298534', '005010317']\n",
        "['06-15-14', '21:00:00', 'REGULAR', '005298759', '005010440']\n",
        "['06-16-14', '01:00:00', 'REGULAR', '005298885', '005010486']\n",
        "['06-16-14', '05:00:00', 'REGULAR', '005298910', '005010503']\n",
        "['06-16-14', '09:00:00', 'REGULAR', '005299003', '005011305']\n",
        "['06-16-14', '13:00:00', 'REGULAR', '005299230', '005011823                                                                                                                  ']\n",
        "['06-16-14', '17:00:00', 'REGULAR', '005299754', '005012062']\n",
        "['06-16-14', '21:00:00', 'REGULAR', '005300666', '005012259']\n",
        "['06-17-14', '01:00:00', 'REGULAR', '005300876', '005012318']\n",
        "['06-17-14', '05:00:00', 'REGULAR', '005300908', '005012345']\n",
        "['06-17-14', '09:00:00', 'REGULAR', '005300989', '005013225']\n",
        "['06-17-14', '13:00:00', 'REGULAR', '005301240', '005013846']\n",
        "['06-17-14', '17:00:00', 'REGULAR', '005301790', '005014121']\n",
        "['06-17-14', '21:00:00', 'REGULAR', '005302853', '005014362                                                                                                                  ']\n",
        "['06-18-14', '01:00:00', 'REGULAR', '005303093', '005014474']\n",
        "['06-18-14', '05:00:00', 'REGULAR', '005303121', '005014485']\n",
        "['06-18-14', '09:00:00', 'REGULAR', '005303219', '005015347']\n",
        "['06-18-14', '13:00:00', 'REGULAR', '005303522', '005015907']\n",
        "['06-18-14', '17:00:00', 'REGULAR', '005304086', '005016177']\n",
        "['06-18-14', '21:00:00', 'REGULAR', '005305096', '005016382']\n",
        "['06-19-14', '01:00:00', 'REGULAR', '005305384', '005016491']\n",
        "['06-19-14', '05:00:00', 'REGULAR', '005305433', '005016505                                                                                                                  ']\n",
        "['06-19-14', '09:00:00', 'REGULAR', '005305506', '005017320']\n",
        "['06-19-14', '12:47:22', 'DOOR OPEN', '005305800', '005017968']\n",
        "['06-19-14', '12:47:30', 'DOOR OPEN', '005305800', '005017968']\n",
        "['06-19-14', '12:51:13', 'LOGON', '005305800', '005017968']\n",
        "['06-19-14', '12:52:27', 'DOOR OPEN', '005305800', '005017968']\n",
        "['06-19-14', '12:54:19', 'DOOR OPEN', '005305800', '005017968']\n",
        "['06-19-14', '12:55:40', 'DOOR OPEN', '005305800', '005017968']\n",
        "['06-19-14', '12:59:53', 'LGF-MAN', '005305801', '005017969                                                                                                          ']\n",
        "['06-19-14', '13:00:00', 'REGULAR', '005305801', '005017969']\n",
        "['06-19-14', '13:01:38', 'DOOR CLOSE', '005305802', '005017970']\n",
        "['06-19-14', '17:00:00', 'REGULAR', '005306411', '005018330']\n",
        "['06-19-14', '21:00:00', 'REGULAR', '005307459', '005018545']\n",
        "['06-20-14', '01:00:00', 'REGULAR', '005307724', '005018631']\n",
        "['06-20-14', '05:00:00', 'REGULAR', '005307763', '005018652']\n",
        "['06-20-14', '09:00:00', 'REGULAR', '005307916', '005019344']\n",
        "['06-20-14', '13:00:00', 'REGULAR', '005308213', '005019851                                                                                                               ']\n",
        "['06-20-14', '17:00:00', 'REGULAR', '005308875', '005020182']\n",
        "['06-20-14', '21:00:00', 'REGULAR', '005309721', '005020404                                                                                                                                                                                                                                                                                                                                                                                                      ']\n",
        "['06-14-14', '01:00:00', 'REGULAR', '006303002', '003455936']\n",
        "['06-14-14', '05:00:00', 'REGULAR', '006303046', '003455952']\n",
        "['06-14-14', '09:00:00', 'REGULAR', '006303097', '003456037']\n",
        "['06-14-14', '13:00:00', 'REGULAR', '006303245', '003456207']\n",
        "['06-14-14', '17:00:00', 'REGULAR', '006303478', '003456376']\n",
        "['06-14-14', '21:00:00', 'REGULAR', '006303658', '003456512']\n",
        "['06-15-14', '01:00:00', 'REGULAR', '006303814', '003456583']\n",
        "['06-15-14', '05:00:00', 'REGULAR', '006303868', '003456612                                                                                                                  ']\n",
        "['06-15-14', '09:00:00', 'REGULAR', '006303926', '003456665']\n",
        "['06-15-14', '13:00:00', 'REGULAR', '006304046', '003456779']\n",
        "['06-15-14', '17:00:00', 'REGULAR', '006304250', '003456895']\n",
        "['06-15-14', '21:00:00', 'REGULAR', '006304427', '003456992']\n",
        "['06-16-14', '01:00:00', 'REGULAR', '006304535', '003457036']\n",
        "['06-16-14', '05:00:00', 'REGULAR', '006304551', '003457040']\n",
        "['06-16-14', '09:00:00', 'REGULAR', '006304692', '003457418']\n",
        "['06-16-14', '13:00:00', 'REGULAR', '006304922', '003457743                                                                                                                  ']\n",
        "['06-16-14', '17:00:00', 'REGULAR', '006305474', '003457909']\n",
        "['06-16-14', '21:00:00', 'REGULAR', '006306492', '003458041']\n",
        "['06-17-14', '01:00:00', 'REGULAR', '006306659', '003458084']\n",
        "['06-17-14', '05:00:00', 'REGULAR', '006306689', '003458106']\n",
        "['06-17-14', '09:00:00', 'REGULAR', '006306845', '003458486']\n",
        "['06-17-14', '13:00:00', 'REGULAR', '006307108', '003458830']\n",
        "['06-17-14', '17:00:00', 'REGULAR', '006307687', '003459008']\n",
        "['06-17-14', '21:00:00', 'REGULAR', '006308821', '003459147                                                                                                                  ']\n",
        "['06-18-14', '01:00:00', 'REGULAR', '006309025', '003459230']\n",
        "['06-18-14', '05:00:00', 'REGULAR', '006309057', '003459238']\n",
        "['06-18-14', '09:00:00', 'REGULAR', '006309220', '003459608']\n",
        "['06-18-14', '13:00:00', 'REGULAR', '006309461', '003459965']\n",
        "['06-18-14', '17:00:00', 'REGULAR', '006310030', '003460179']\n",
        "['06-18-14', '21:00:00', 'REGULAR', '006311129', '003460319']\n",
        "['06-19-14', '01:00:00', 'REGULAR', '006311344', '003460382']\n",
        "['06-19-14', '05:00:00', 'REGULAR', '006311367', '003460397                                                                                                                  ']\n",
        "['06-19-14', '09:00:00', 'REGULAR', '006311525', '003460764']\n",
        "['06-19-14', '13:00:00', 'REGULAR', '006311842', '003461173']\n",
        "['06-19-14', '13:01:47', 'DOOR OPEN', '006311845', '003461173']\n",
        "['06-19-14', '13:01:54', 'DOOR OPEN', '006311845', '003461173']\n",
        "['06-19-14', '13:06:59', 'LOGON', '006311845', '003461173']\n",
        "['06-19-14', '13:07:48', 'LGF-MAN', '006311845', '003461173']\n",
        "['06-19-14', '13:09:12', 'DOOR CLOSE', '006311846', '003461174']\n",
        "['06-19-14', '17:00:00', 'REGULAR', '006312514', '003461405                                                                                                             ']\n",
        "['06-19-14', '21:00:00', 'REGULAR', '006313669', '003461596']\n",
        "['06-20-14', '01:00:00', 'REGULAR', '006313901', '003461664']\n",
        "['06-20-14', '05:00:00', 'REGULAR', '006313936', '003461671']\n",
        "['06-20-14', '09:00:00', 'REGULAR', '006314118', '003461932']\n",
        "['06-20-14', '13:00:00', 'REGULAR', '006314369', '003462316']\n",
        "['06-20-14', '17:00:00', 'REGULAR', '006315072', '003462530']\n",
        "['06-20-14', '21:00:00', 'REGULAR', '006315993', '003462737                                                                                                                                                                ']\n"
       ]
      }
     ],
     "prompt_number": 235
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# AGGREGATE\n",
      "#sta = 'R195'\n",
      "sta = random.choice(remoteToStations.keys())\n",
      "oneStation = [d for d in data if d[1]==sta]\n",
      "\n",
      "X = {}\n",
      "for x in oneStation:\n",
      "    if x[2] not in X.keys():\n",
      "        X[x[2]] = x[3:]\n",
      "    else:\n",
      "        X[x[2]] += x[3:]\n",
      "\n",
      "# ANALYZE + CLEAN  \n",
      "\n",
      "enter = np.zeros(1680)\n",
      "exit = np.zeros(1680)\n",
      "    \n",
      "for k in X.keys():\n",
      "\n",
      "    T =  np.array([24*int(X[k][5*t].split('-')[1])  + int(X[k][5*t+1].split(':')[0]) for t in range(len(X[k])/5) ])\n",
      "    T = T - T[0]\n",
      "\n",
      "    In = np.array([ int(X[k][5*t+3]) for t in range(len(X[k])/5) ])\n",
      "    Out =  np.array([ int(X[k][5*t+4]) for t in range(len(X[k])/5) ])\n",
      "\n",
      "    dt = 0.1\n",
      "    Tnew = np.arange(0, 168, dt)\n",
      "    In = np.interp(Tnew, T, In)\n",
      "    Out = np.interp(Tnew, T, Out)\n",
      "\n",
      "    T2 = Tnew[::10*4]\n",
      "    In = In[::10*4]\n",
      "    Out = Out[::10*4]\n",
      "\n",
      "    dt = 0.1\n",
      "    Tnew = np.arange(0, 168, dt)\n",
      "    In = np.interp(Tnew, T2, In)\n",
      "    Out = np.interp(Tnew, T2, Out)\n",
      "\n",
      "    enter += In\n",
      "    exit += Out\n",
      "\n",
      "# VISUALIZE\n",
      "\n",
      "# http://web.mta.info/developers/resources/line_colors.htm\n",
      "line = random.choice(remoteToStations[sta][1])\n",
      "plt.plot(Tnew[1:]+12, np.convolve(enter, [1,-1])[1:-1]/dt, linewidth=\"3\", color = color[line])\n",
      "#plt.plot(T,  np.array([ int(X[k][5*t+3]) for t in range(len(X[k])/5) ]))\n",
      "#plt.ylabel(\"ridership\", fontsize=15)\n",
      "plt.title(\"%s -- %s Line\"%(remoteToStations[sta][0].title(),remoteToStations[sta][1]), fontsize=20)\n",
      "plt.xticks( np.arange(0, 168, 24)+12, [\"Sat\", \"Sun\", \"Mon\", \"Tue\", \"Wed\", \"Thu\", \"Fri\"])\n",
      "plt.grid(True)\n",
      "#plt.ylim([-200, 200])\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXgAAAEPCAYAAABIut/fAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQVCpvwHiSgBghXLh8QAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x994c210>"
       ]
      }
     ],
     "prompt_number": 229
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 213
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def f(sta):\n",
      "    # AGGREGATE\n",
      "    #sta = 'R195'\n",
      "    oneStation = [d for d in data if d[1]==sta]\n",
      "\n",
      "    X = {}\n",
      "    for x in oneStation:\n",
      "        if x[2] not in X.keys():\n",
      "            X[x[2]] = x[3:]\n",
      "        else:\n",
      "            X[x[2]] += x[3:]\n",
      "\n",
      "    # ANALYZE + CLEAN  \n",
      "\n",
      "    enter = np.zeros(1680)\n",
      "    exit = np.zeros(1680)\n",
      "\n",
      "    for k in X.keys():\n",
      "\n",
      "        T =  np.array([24*int(X[k][5*t].split('-')[1])  + int(X[k][5*t+1].split(':')[0]) for t in range(len(X[k])/5) ])\n",
      "        T = T - T[0]\n",
      "\n",
      "        In = np.array([ int(X[k][5*t+3]) for t in range(len(X[k])/5) ])\n",
      "        Out =  np.array([ int(X[k][5*t+4]) for t in range(len(X[k])/5) ])\n",
      "\n",
      "        dt = 0.1\n",
      "        Tnew = np.arange(0, 168, dt)\n",
      "        In = np.interp(Tnew, T, In)\n",
      "        Out = np.interp(Tnew, T, Out)\n",
      "\n",
      "        T2 = Tnew[::10*4]\n",
      "        In = In[::10*4]\n",
      "        Out = Out[::10*4]\n",
      "\n",
      "        dt = 0.1\n",
      "        Tnew = np.arange(0, 168, dt)\n",
      "        In = np.interp(Tnew, T2, In)\n",
      "        Out = np.interp(Tnew, T2, Out)\n",
      "\n",
      "        enter += In\n",
      "        exit += Out\n",
      "    return {\"in\": enter, \"out\": exit}\n",
      "\n",
      "def graph(x, sta):\n",
      "    # http://web.mta.info/developers/resources/line_colors.htm\n",
      "    line = random.choice(remoteToStations[sta][1])\n",
      "    plt.plot(Tnew[1:]+12, np.convolve(x, [1,-1])[1:-1]/dt, linewidth=\"3\", color = color[line])\n",
      "    plt.title(\"%s -- %s Line\"%(remoteToStations[sta][0].title(),line), fontsize=20)\n",
      "    plt.xticks( np.arange(0, 168, 24)+12, [\"Sat\", \"Sun\", \"Mon\", \"Tue\", \"Wed\", \"Thu\", \"Fri\"])\n",
      "    plt.grid(True)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 265
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#sta = random.choice(remoteToStations.keys())\n",
      "sta = 'R195'\n",
      "x = f(sta)\n",
      "print x.keys()\n",
      "graph(x['in'],sta)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "['out', 'in']\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEPCAYAAACneLThAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQRAEFyYqeUEQBBcmKnlBEAQX9hceyc1YMOVD5QAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x846c6d0>"
       ]
      }
     ],
     "prompt_number": 266
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "graph(x['out'],sta)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEPCAYAAACneLThAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njVQAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x984ef10>"
       ]
      }
     ],
     "prompt_number": 277
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "graph(x['out']-x['in'],sta)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEPCAYAAACk43iMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x6611290>"
       ]
      }
     ],
     "prompt_number": 268
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "\n",
      "aaa =  (np.random.random(7)*100).astype(int)\n",
      "plt.fill_between([0,4,8,12,16,20,24], 0, aaa, color='#FF5C2B', alpha=0.35)\n",
      "plt.vlines([0,4,8,12,16,20,24], 0, aaa, color='#FF5C2B', linewidth=2, alpha=0.5)\n",
      "plt.plot([0,4,8,12,16,20,24],aaa, '-o' , color='#FF5C2B',)\n",
      "\n",
      "aaa =  (np.random.random(8)*100).astype(int)\n",
      "plt.fill_between([0,1,5,9,13,17,21,24], 0, aaa, color='#42ED3F', alpha=0.35)\n",
      "plt.vlines([0,1,5,9,13,17,21,24], 0, aaa, color='#42ED3F', linewidth=2, alpha=0.5)\n",
      "plt.plot([0,1,5,9,13,17,21,24],aaa, '-o' , color='#42ED3F',)\n",
      "\n",
      "plt.xlim([0,24])\n",
      "plt.ylim([0,100])\n",
      "\n",
      "plt.grid(True)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEACAYAAACuzv3DAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x6a040d0>"
       ]
      }
     ],
     "prompt_number": 263
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "X = [sta for sta in stations if '4' in sta[3] and sta[4] != 'PTH']\n",
      "X = list(set([y[0] for y in X]))\n",
      "\n",
      "Z = []\n",
      "for x in X:\n",
      "    y = f(x)['in'][::10]\n",
      "    Z += [y-y[0]]\n",
      "Z = np.array(Z)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 311
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.cluster import KMeans"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 287
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "kmeans = KMeans(init='k-means++', n_clusters=10, n_init=20)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 312
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "clusters = kmeans.fit_predict(Z)\n",
      "clusters"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 313,
       "text": [
        "array([5, 0, 1, 9, 6, 9, 2, 7, 6, 6, 2, 0, 7, 4, 6, 6, 7, 8, 7, 2, 7, 6, 8,\n",
        "       6, 2, 6, 6, 3, 6, 0, 5, 2, 6, 2, 2, 2, 2], dtype=int32)"
       ]
      }
     ],
     "prompt_number": 313
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "len(X), len(clusters)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 314,
       "text": [
        "(37, 37)"
       ]
      }
     ],
     "prompt_number": 314
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "for t in range(10):\n",
      "    print \"CLUSTER %s\"%(t)\n",
      "    for s in [remoteToStations[X[x]] for x in np.where(clusters==t)[0]]:\n",
      "        print s\n",
      "    print"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "CLUSTER 0\n",
        "['42 ST-GRD CNTRL', '4567S']\n",
        "['BOROUGH HALL/CT', '2345R']\n",
        "['FULTON ST', '2345ACJZ']\n",
        "\n",
        "CLUSTER 1\n",
        "['BROOKLYN BRIDGE', 'JZ456']\n",
        "\n",
        "CLUSTER 2\n",
        "['MT EDEN AVE', '4']\n",
        "['FULTON ST', 'ACJZ2345']\n",
        "['WOODLAWN ROAD', '4']\n",
        "['138 ST-GR CONC', '45']\n",
        "['2 BDWY CUST SRV', '45']\n",
        "['176 ST', '4']\n",
        "['183 ST', '4']\n",
        "['BEDFORD PARK BL', '4']\n",
        "['BOTANIC GARDEN', 'S2345']\n",
        "\n",
        "CLUSTER 3\n",
        "['14 ST-UNION SQ', 'LNRQ456']\n",
        "\n",
        "CLUSTER 4\n",
        "['FULTON ST', '2345ACJZ']\n",
        "\n",
        "CLUSTER 5\n",
        "['42 ST-GRD CNTRL', '4567S']\n",
        "['86 ST', '456']\n",
        "\n",
        "CLUSTER 6\n",
        "['BOWLING GREEN', '45']\n",
        "['FRANKLIN AVE', '2345S']\n",
        "['42 ST-GRD CNTRL', '4567S']\n",
        "['149 ST-GR CONC', '245']\n",
        "['KINGSBRIDGE RD', '4']\n",
        "['MOSHOLU PARKWAY', '4']\n",
        "['NEVINS ST', '2345']\n",
        "['167 ST', '4']\n",
        "['FORDHAM ROAD', '4']\n",
        "['BURNSIDE AVE', '4']\n",
        "['170 ST', '4']\n",
        "\n",
        "CLUSTER 7\n",
        "['BOWLING GREEN', '45']\n",
        "['CROWN HTS-UTICA', '34']\n",
        "['161 ST-YANKEE', '4BD']\n",
        "['LEXINGTON AVE', '456NQR']\n",
        "['125 ST', '456']\n",
        "\n",
        "CLUSTER 8\n",
        "['LEXINGTON AVE', '456NQR']\n",
        "['PACIFIC ST', 'BDNQR2345']\n",
        "\n",
        "CLUSTER 9\n",
        "['42 ST-GRD CNTRL', '4567S']\n",
        "['WALL ST', '45']\n",
        "\n"
       ]
      }
     ],
     "prompt_number": 325
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "W = [X[x] for x in np.where(clusters==2)[0]]\n",
      "graph(f(W[0])['in'], W[0])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAEPCAYAAACwWiQoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUGNOoVAoCoAacwqFQlEA1JhTKBSKAvh/9eFd2Je0Qw0AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x53a7490>"
       ]
      }
     ],
     "prompt_number": 331
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "graph(f(W[3])['in'], W[3])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAEPCAYAAABfmE8WAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f32b50>"
       ]
      }
     ],
     "prompt_number": 334
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "W = [X[x] for x in np.where(clusters==6)[0]]\n",
      "graph(f(W[4])['in'], W[4])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAEPCAYAAACwWiQoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x3e51710>"
       ]
      }
     ],
     "prompt_number": 335
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "graph(f(W[8])['in'], W[8])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAEPCAYAAACwWiQoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSABmzBkMBkMC/H+LP9eBtH/TWAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x9854f50>"
       ]
      }
     ],
     "prompt_number": 336
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "W = [X[x] for x in np.where(clusters==5)[0]]\n",
      "graph(f(W[0])['in'], W[0])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEPCAYAAACneLThAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x538df50>"
       ]
      }
     ],
     "prompt_number": 338
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "graph(f(W[1])['in'], W[1])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEPCAYAAACneLThAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\novyXFqbqAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x846c6d0>"
       ]
      }
     ],
     "prompt_number": 339
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}