{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Learning Seattle's Work Habits from Bicycle Counts (Updated!)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*This notebook originally appeared as a [post](http://jakevdp.github.io/blog/2015/07/23/learning-seattles-work-habits-from-bicycle-counts/) on the blog [Pythonic Perambulations](http://jakevdp.github.io). The content is BSD licensed.*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Update, July 25, 2015: I included some new plots suggested by my colleague Ariel Rokem. Scroll to the end!*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<!-- PELICAN_BEGIN_SUMMARY -->\n",
    "\n",
    "Last year I wrote a [blog post](https://jakevdp.github.io/blog/2014/06/10/is-seattle-really-seeing-an-uptick-in-cycling/) examining trends in Seattle bicycling and how they relate to weather, daylight, day of the week, and other factors.\n",
    "\n",
    "Here I want to revisit the same data from a different perspective: rather than making assumptions in order to build models that might describe the data, I'll instead wipe the slate clean and ask what information we can extract from the data themselves, without reliance on any model assumptions.\n",
    "In other words, where the previous post examined the data using a *supervised machine learning* approach for *data modeling*, this post will examine the data using an *unsupervised learning approach* for *data exploration*.\n",
    "\n",
    "Along the way, we'll see some examples of importing, transforming, visualizing, and analyzing data in the Python language, using mostly [Pandas](http://pandas.pydata.org/), [Matplotlib](http://matplotlib.org/), and [Scikit-learn](http://scikit-learn.org/).\n",
    "We will also see some real-world examples of the use of unsupervised machine learning algorithms, such as Principal Component Analysis and Gaussian Mixture Models, in exploring and extracting meaning from data.\n",
    "\n",
    "To spoil the punchline (and perhaps whet your appetite) what we will find is that from analysis of bicycle counts alone, we can make some definite statements about the aggregate work habits of Seattleites who commute by bicycle.\n",
    "\n",
    "<!-- PELICAN_END_SUMMARY -->"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Data\n",
    "\n",
    "The data we will use here are the hourly bicycle counts on Seattle's [Fremont Bridge](http://www.openstreetmap.org/#map=17/47.64813/-122.34965).\n",
    "These data come from an [automated bicycle counter](http://www.seattle.gov/transportation/bikecounter_fremont.htm), installed in late 2012, which has inductive sensors under the sidewalks on either side of the bridge.\n",
    "The daily or hourly bicycle counts can be downloaded from [http://data.seattle.gov/](http://data.seattle.gov/); here is the [direct link to the hourly dataset](https://data.seattle.gov/Transportation/Fremont-Bridge-Hourly-Bicycle-Counts-by-Month-Octo/65db-xm6k).\n",
    "To download the data directly, you can uncomment the following ``curl`` command:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  % Total    % Received % Xferd  Average Speed   Time    Time     Time  Current\n",
      "                                 Dload  Upload   Total   Spent    Left  Speed\n",
      "100  736k  100  736k    0     0   248k      0  0:00:02  0:00:02 --:--:--  310k\n"
     ]
    }
   ],
   "source": [
    "!curl -o FremontBridge.csv https://data.seattle.gov/api/views/65db-xm6k/rows.csv?accessType=DOWNLOAD"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once this is downloaded, we can use the [pandas](http://pandas.pydata.org) library to load the data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Fremont Bridge West Sidewalk</th>\n",
       "      <th>Fremont Bridge East Sidewalk</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012-10-03 00:00:00</th>\n",
       "      <td>4</td>\n",
       "      <td>9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-03 01:00:00</th>\n",
       "      <td>4</td>\n",
       "      <td>6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-03 02:00:00</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-03 03:00:00</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-03 04:00:00</th>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     Fremont Bridge West Sidewalk  \\\n",
       "Date                                                \n",
       "2012-10-03 00:00:00                             4   \n",
       "2012-10-03 01:00:00                             4   \n",
       "2012-10-03 02:00:00                             1   \n",
       "2012-10-03 03:00:00                             2   \n",
       "2012-10-03 04:00:00                             6   \n",
       "\n",
       "                     Fremont Bridge East Sidewalk  \n",
       "Date                                               \n",
       "2012-10-03 00:00:00                             9  \n",
       "2012-10-03 01:00:00                             6  \n",
       "2012-10-03 02:00:00                             1  \n",
       "2012-10-03 03:00:00                             3  \n",
       "2012-10-03 04:00:00                             1  "
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "data = pd.read_csv('FremontBridge.csv', index_col='Date', parse_dates=True)\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll do some quick data cleaning: we'll rename the columns to the shorter \"West\" and \"East\", set any missing values to zero, and add a \"Total\" column:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data.columns = ['West', 'East']\n",
    "data.fillna(0, inplace=True)\n",
    "data['Total'] = data.eval('East + West')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can get a better idea of the dataset as a whole through a simple visualization; for example, we can resample the data to see the weekly trend in trips over the nearly three-year period:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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30/vrp6tyoQlGB7Z7P9PVVVbxl0L2+0HXMbMZjHjceT+34s9070MJR1ACg0ui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4ayVMCO5ma8F64lefQIx/7+fzO55TnrHq9Uqn94Im4xL8kTKUr3xxIZJFsKp+S2yjTN3iaapskq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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a21cf98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# first some standard imports\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn; seaborn.set()  # plot styling\n",
    "import numpy as np\n",
    "\n",
    "data.resample('W', how='sum').plot()\n",
    "plt.ylabel('weekly trips');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The counts show both a strong seasonal variation, as well as a local structure that can be [partially accounted for](https://jakevdp.github.io/blog/2014/06/10/is-seattle-really-seeing-an-uptick-in-cycling/) by temperature, time of year, precipitation, and other factors."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "## Extracting Knowledge from the Data\n",
    "\n",
    "From here, we could do a variety of other visualizations based on our intuition about what might affect bicycle counts.\n",
    "For example, we could look at the effect of the days of the week, the effect of the weather, and other factors [that I explored previously](https://jakevdp.github.io/blog/2014/06/10/is-seattle-really-seeing-an-uptick-in-cycling/).\n",
    "But we could also proceed by letting the dataset speak for itself, and use *unsupervised machine learning* techniques (that is, machine learning without reference to data labels) to learn what the data have to tell us.\n",
    "\n",
    "We will consider each day in the dataset as its own separate entity (or *sample*, in usual machine learning parlance).\n",
    "For each day, we have 48 observations: two observations (east and west sidewalk sensors) for each of the 24 hour-long periods.\n",
    "By examining the days in light of these observations and doing some careful analysis, we should be able to extract meaningful quantitative statements from the data themselves, without the need to lean on any other assumptions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Transforming the Data\n",
    "\n",
    "The first step in this approach is to transform our data; essentially we will want a two-dimensional matrix, where each row of the matrix corresponds to a day, and each column of the matrix corresponds to one of the 48 observations.\n",
    "We can arrange the data this way using the ``pivot_table()`` function in Pandas.\n",
    "We want the \"East\" and \"West\" column values, indexed by date, and separated by hour of the day.\n",
    "Any missing values we will fill with zero:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th colspan=\"10\" halign=\"left\">East</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"10\" halign=\"left\">West</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>14</th>\n",
       "      <th>15</th>\n",
       "      <th>16</th>\n",
       "      <th>17</th>\n",
       "      <th>18</th>\n",
       "      <th>19</th>\n",
       "      <th>20</th>\n",
       "      <th>21</th>\n",
       "      <th>22</th>\n",
       "      <th>23</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012-10-03</th>\n",
       "      <td>9</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>10</td>\n",
       "      <td>50</td>\n",
       "      <td>95</td>\n",
       "      <td>146</td>\n",
       "      <td>104</td>\n",
       "      <td>...</td>\n",
       "      <td>77</td>\n",
       "      <td>72</td>\n",
       "      <td>133</td>\n",
       "      <td>192</td>\n",
       "      <td>122</td>\n",
       "      <td>59</td>\n",
       "      <td>29</td>\n",
       "      <td>25</td>\n",
       "      <td>24</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-04</th>\n",
       "      <td>11</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>11</td>\n",
       "      <td>51</td>\n",
       "      <td>89</td>\n",
       "      <td>134</td>\n",
       "      <td>94</td>\n",
       "      <td>...</td>\n",
       "      <td>63</td>\n",
       "      <td>73</td>\n",
       "      <td>114</td>\n",
       "      <td>154</td>\n",
       "      <td>137</td>\n",
       "      <td>57</td>\n",
       "      <td>27</td>\n",
       "      <td>31</td>\n",
       "      <td>25</td>\n",
       "      <td>11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-05</th>\n",
       "      <td>7</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>7</td>\n",
       "      <td>37</td>\n",
       "      <td>101</td>\n",
       "      <td>119</td>\n",
       "      <td>81</td>\n",
       "      <td>...</td>\n",
       "      <td>63</td>\n",
       "      <td>80</td>\n",
       "      <td>120</td>\n",
       "      <td>144</td>\n",
       "      <td>107</td>\n",
       "      <td>42</td>\n",
       "      <td>27</td>\n",
       "      <td>11</td>\n",
       "      <td>10</td>\n",
       "      <td>16</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-06</th>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>15</td>\n",
       "      <td>16</td>\n",
       "      <td>47</td>\n",
       "      <td>55</td>\n",
       "      <td>...</td>\n",
       "      <td>89</td>\n",
       "      <td>115</td>\n",
       "      <td>107</td>\n",
       "      <td>107</td>\n",
       "      <td>41</td>\n",
       "      <td>40</td>\n",
       "      <td>25</td>\n",
       "      <td>18</td>\n",
       "      <td>14</td>\n",
       "      <td>15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-07</th>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>8</td>\n",
       "      <td>12</td>\n",
       "      <td>26</td>\n",
       "      <td>36</td>\n",
       "      <td>...</td>\n",
       "      <td>126</td>\n",
       "      <td>122</td>\n",
       "      <td>132</td>\n",
       "      <td>118</td>\n",
       "      <td>68</td>\n",
       "      <td>26</td>\n",
       "      <td>19</td>\n",
       "      <td>12</td>\n",
       "      <td>9</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 48 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           East                                    ... West                 \\\n",
       "             0  1  2  3  4   5   6    7    8    9  ...   14   15   16   17   \n",
       "2012-10-03    9  6  1  3  1  10  50   95  146  104 ...   77   72  133  192   \n",
       "2012-10-04   11  0  6  3  1  11  51   89  134   94 ...   63   73  114  154   \n",
       "2012-10-05    7  4  3  2  2   7  37  101  119   81 ...   63   80  120  144   \n",
       "2012-10-06    7  5  2  2  1   2  15   16   47   55 ...   89  115  107  107   \n",
       "2012-10-07    5  5  1  2  2   3   8   12   26   36 ...  126  122  132  118   \n",
       "\n",
       "                                     \n",
       "             18  19  20  21  22  23  \n",
       "2012-10-03  122  59  29  25  24   5  \n",
       "2012-10-04  137  57  27  31  25  11  \n",
       "2012-10-05  107  42  27  11  10  16  \n",
       "2012-10-06   41  40  25  18  14  15  \n",
       "2012-10-07   68  26  19  12   9   5  \n",
       "\n",
       "[5 rows x 48 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pivoted = data.pivot_table(['East', 'West'],\n",
    "                           index=data.index.date,\n",
    "                           columns=data.index.hour,\n",
    "                           fill_value=0)\n",
    "pivoted.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we extract the raw values and put them in a matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1093, 48)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = pivoted.values\n",
    "X.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our data consists of just over 1000 days, each with the aforementioned 48 measurements."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualizing the Data\n",
    "\n",
    "We can think of this data now as representing 1001 distinct objects which live in a *48-dimensional* space: the value of each dimension is the number of bicycle trips measured on a particular side of the bridge at a particular hour.\n",
    "Visualizing 48-dimensional data is quite difficult, so instead we will use a standard *dimensionality reduction* technique to project this to a more manageable size.\n",
    "\n",
    "The technique we'll use is [Principal Component Analysis (PCA)](http://scikit-learn.org/stable/modules/decomposition.html), a fast linear projection which rotates the data such that the projection preserves the maximum variance.\n",
    "We can ask for components preserving 90% of the variance as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1093, 3)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "Xpca = PCA(0.9).fit_transform(X)\n",
    "Xpca.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The output has two dimensions, which means that these two projected components describe at least 90% of the total variance in the dataset.\n",
    "While 48-dimensional data is difficult to plot, we certainly know how to plot two-dimensional data: we'll do a simple scatter plot, and for reference we'll color each point according to the total number of trips taken that day:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jstrick/.pyenv/versions/anaconda3-2.3.0/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  if self._edgecolors == str('face'):\n"
     ]
    },
    {
     "data": {
      "image/png": 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s1IGRfXqT1U1uc2wJFLkmDEgRFkLEWNHevXz25SYMpkQCnhquunwMrVq1Iqd/Dh9/upK1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\nMRZgqQ0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10abf0f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "total_trips = X.sum(1)\n",
    "plt.scatter(Xpca[:, 0], Xpca[:, 1], c=total_trips,\n",
    "            cmap='cubehelix')\n",
    "plt.colorbar(label='total trips');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that the days lie in two quite distinct groups, and that the total number of trips increases along the length of each projected cluster.\n",
    "Further, the two groups begin to be less distinguishable when the number of trips during the day is very small.\n",
    "\n",
    "I find this extremely interesting: from the raw data, we can determine that there are basically *two primary types of days* for Seattle bicyclists.\n",
    "Let's model these clusters and try to figure out what these types-of-day are."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Unsupervised Clustering\n",
    "\n",
    "When you have groups of data you'd like to automatically separate, but no previously-determined labels for the groups, the type of algorithm you are looking at is a *clustering* algorithm.\n",
    "There are a number of clustering algorithms out there, but for nicely-defined oval-shaped blobs like we see above, [Gaussian Mixture Models](http://scikit-learn.org/stable/modules/mixture.html) are a very good choice.\n",
    "We can compute the Gaussian Mixture Model of the data using, again, scikit-learn, and quickly plot the predicted labels for the points:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jstrick/.pyenv/versions/anaconda3-2.3.0/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  if self._edgecolors == str('face'):\n"
     ]
    },
    {
     "data": {
      "image/png": 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qqaeYM2cOCQkJADzwwAOkp6fTu3dv9uzZQ2JiIl27dmXevHno9Xrq6urIysoi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\njuTMJSQkJCQkOjiSM5eQkJCQkOjg/H/Uq00mpFhcGgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106329ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.mixture import GMM\n",
    "gmm = GMM(2, covariance_type='full', random_state=0)\n",
    "gmm.fit(Xpca)\n",
    "cluster_label = gmm.predict(Xpca)\n",
    "plt.scatter(Xpca[:, 0], Xpca[:, 1], c=cluster_label);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This clustering seems to have done the job, and separated the two groups we are interested in.\n",
    "Let's join these inferred cluster labels to the initial dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>West</th>\n",
       "      <th>East</th>\n",
       "      <th>Total</th>\n",
       "      <th>Cluster</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012-10-03 00:00:00</th>\n",
       "      <td>4</td>\n",
       "      <td>9</td>\n",
       "      <td>13</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-03 01:00:00</th>\n",
       "      <td>4</td>\n",
       "      <td>6</td>\n",
       "      <td>10</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-03 02:00:00</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-03 03:00:00</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-03 04:00:00</th>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>7</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     West  East  Total  Cluster\n",
       "Date                                           \n",
       "2012-10-03 00:00:00     4     9     13        0\n",
       "2012-10-03 01:00:00     4     6     10        0\n",
       "2012-10-03 02:00:00     1     1      2        0\n",
       "2012-10-03 03:00:00     2     3      5        0\n",
       "2012-10-03 04:00:00     6     1      7        0"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pivoted['Cluster'] = cluster_label\n",
    "data = data.join(pivoted['Cluster'], on=data.index.date)\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can find the average trend by cluster and time using a GroupBy within this updated dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>West</th>\n",
       "      <th>East</th>\n",
       "      <th>Total</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Cluster</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"5\" valign=\"top\">0</th>\n",
       "      <th>00:00:00</th>\n",
       "      <td>6.149859</td>\n",
       "      <td>7.696513</td>\n",
       "      <td>13.846371</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>01:00:00</th>\n",
       "      <td>3.501414</td>\n",
       "      <td>3.926484</td>\n",
       "      <td>7.427898</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>02:00:00</th>\n",
       "      <td>2.785444</td>\n",
       "      <td>2.448960</td>\n",
       "      <td>5.234405</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>03:00:00</th>\n",
       "      <td>1.895677</td>\n",
       "      <td>1.591165</td>\n",
       "      <td>3.486842</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>04:00:00</th>\n",
       "      <td>3.601320</td>\n",
       "      <td>2.579642</td>\n",
       "      <td>6.180961</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                      West      East      Total\n",
       "Cluster                                        \n",
       "0       00:00:00  6.149859  7.696513  13.846371\n",
       "        01:00:00  3.501414  3.926484   7.427898\n",
       "        02:00:00  2.785444  2.448960   5.234405\n",
       "        03:00:00  1.895677  1.591165   3.486842\n",
       "        04:00:00  3.601320  2.579642   6.180961"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "by_hour = data.groupby(['Cluster', data.index.time]).mean()\n",
    "by_hour.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we can plot the average hourly trend among the days within each cluster:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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IcOQ7T2GtraXkmlUTPZyke++9v3LPPV8K//fSpcuxWq1s2PAIJSUlbNr0U954409cdNHF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2qzxR4M22Gb9HzivTUJqT3LTEni8x/ezrq8ZF6t7eWxp9/Bq8E0A6DAnkuSwaI5EwSQslcYJAgE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\nJRFz9zSzpjT2uarYWL+ZzY3bOy7BzrJlMj5jDOMyShmTNgq7q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      "text/plain": [
       "<matplotlib.figure.Figure at 0x107f11400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(14, 5))\n",
    "hourly_ticks = 4 * 60 * 60 * np.arange(6)\n",
    "\n",
    "for i in range(2):\n",
    "    by_hour.ix[i].plot(ax=ax[i], xticks=hourly_ticks)\n",
    "    ax[i].set_title('Cluster {0}'.format(i))\n",
    "    ax[i].set_ylabel('average hourly trips')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These plots give us some insight into the interpretation of the two clusters: the first cluster shows a sharp bimodal traffic pattern, while the second shows a wide unimodal pattern.\n",
    "\n",
    "In the bimodal cluster, we see a peak around 8:00am which is dominated by cyclists on the west sidewalk, and another peak around 5:00pm which is dominated by cyclists on the east sidewalk.\n",
    "This is very clearly a commute pattern, with the majority of cyclists riding toward downtown Seattle in the morning, and away from downtown Seattle in the evening.\n",
    "\n",
    "In the unimodal cluster, we see fairly steady traffic in each direction beginning early in the morning and going until late at night, with a peak around 2:00 in the afternoon.\n",
    "This is very clearly a recreational pattern of use, with people out riding through the entire day.\n",
    "\n",
    "I find this is fascinating: from simple unsupervised dimensionality reduction and clustering, we've discovered two distinct classes of days in the data, and found that these classes have very intuitive explanations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Seattle's Work Habits\n",
    "\n",
    "Let's go one step deeper and figure out what we can learn about people (well, bicycle commuters) in Seattle from just this hourly commute data.\n",
    "As a rough approximation, you might guess that these two classes of data might be largely reflective of workdays in the first cluster, and non-work days in the second.\n",
    "We can check this intuition by re-plotting our projected data, except labeling them by day of the week:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jstrick/.pyenv/versions/anaconda3-2.3.0/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  if self._edgecolors == str('face'):\n"
     ]
    },
    {
     "data": {
      "image/png": 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QomfT6hUV2518fDh/1kKVT315Y40QQlQzufzrALqCUxU/Z1QKaAvS/7X9r9/M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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ac54cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dayofweek = pd.to_datetime(pivoted.index).dayofweek\n",
    "plt.scatter(Xpca[:, 0], Xpca[:, 1], c=dayofweek,\n",
    "            cmap=plt.cm.get_cmap('jet', 7))\n",
    "cb = plt.colorbar(ticks=range(7))\n",
    "cb.set_ticklabels(['Mon', 'Tues', 'Wed', 'Thurs', 'Fri', 'Sat', 'Sun'])\n",
    "plt.clim(-0.5, 6.5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that the weekday/weekend intuition holds, but only to a point: in particular, it is clear that **there are a handful of weekdays which follow the typical weekend pattern!**\n",
    "Further, it's interesting to note that Fridays tend to be pulled closer to weekend days in this plot, though as a whole they still fall solidly in the work-day cluster.\n",
    "\n",
    "Let's take a closer look at the \"special\" weekdays that fall in the \"wrong\" cluster.\n",
    "We start by constructing a dataset listing the cluster id and the day of the week for each of the dates in our dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cluster</th>\n",
       "      <th>is_weekend</th>\n",
       "      <th>weekday</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012-10-03</th>\n",
       "      <td>0</td>\n",
       "      <td>False</td>\n",
       "      <td>Wed</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-04</th>\n",
       "      <td>0</td>\n",
       "      <td>False</td>\n",
       "      <td>Thu</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-05</th>\n",
       "      <td>0</td>\n",
       "      <td>False</td>\n",
       "      <td>Fri</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-06</th>\n",
       "      <td>0</td>\n",
       "      <td>True</td>\n",
       "      <td>Sat</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-07</th>\n",
       "      <td>0</td>\n",
       "      <td>True</td>\n",
       "      <td>Sun</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            cluster is_weekend weekday\n",
       "2012-10-03        0      False     Wed\n",
       "2012-10-04        0      False     Thu\n",
       "2012-10-05        0      False     Fri\n",
       "2012-10-06        0       True     Sat\n",
       "2012-10-07        0       True     Sun"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results = pd.DataFrame({'cluster': cluster_label,\n",
    "                        'is_weekend': (dayofweek > 4),\n",
    "                        'weekday': pivoted.index.map(lambda x: x.strftime('%a'))},\n",
    "                       index=pivoted.index)\n",
    "results.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, let's see how many weekend days fall in the first, commute-oriented cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "312"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weekend_workdays = results.query('cluster == 0 and is_weekend')\n",
    "len(weekend_workdays)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "zero! Apparently, there is not a single weekend during the year where Seattle cyclists as a whole decide to go to work.\n",
    "\n",
    "Similarly, we can see how many weekdays fall in the second, recreation-oriented cluster:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "32"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "midweek_holidays = results.query('cluster == 1 and not is_weekend')\n",
    "len(midweek_holidays)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There were 23 weekdays over the past several years in which Seattle cyclists as a whole did not go to work.\n",
    "To label these, let's load the US Federal holiday calendar available in Pandas:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2012-01-02                 New Years Day\n",
       "2012-01-16    Dr. Martin Luther King Jr.\n",
       "2012-02-20                Presidents Day\n",
       "2012-05-28                   MemorialDay\n",
       "2012-07-04                      July 4th\n",
       "dtype: object"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from pandas.tseries.holiday import USFederalHolidayCalendar\n",
    "cal = USFederalHolidayCalendar()\n",
    "holidays = cal.holidays('2012', '2016', return_name=True)\n",
    "holidays.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Just for completeness, we will add to the list the day before and day after each of these holidays:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2012-01-01                 Day Before New Years Day\n",
       "2012-01-02                            New Years Day\n",
       "2012-01-03                  Day After New Years Day\n",
       "2012-01-15    Day Before Dr. Martin Luther King Jr.\n",
       "2012-01-16               Dr. Martin Luther King Jr.\n",
       "dtype: object"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "holidays_all = pd.concat([holidays,\n",
    "                         \"Day Before \" + holidays.shift(-1, 'D'),\n",
    "                         \"Day After \" + holidays.shift(1, 'D')])\n",
    "holidays_all = holidays_all.sort_index()\n",
    "holidays_all.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that these are *observed* holidays, which is why New Years Day 2012 falls on January 2nd.\n",
    "With this ready to go, we can compute the complete list of non-weekend days on which Seattle bicycle commuters as a whole chose to stay home from work:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{nan, 'Day After Labor Day'}"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "holidays_all.name = 'name'  # required for join\n",
    "joined = midweek_holidays.join(holidays_all)\n",
    "set(joined['name'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "On the other side of things, here are the Federally recognized holidays where Seattle bicycle commuters chose to go to work anyway:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Christmas',\n",
       " 'Columbus Day',\n",
       " 'Dr. Martin Luther King Jr.',\n",
       " 'July 4th',\n",
       " 'Labor Day',\n",
       " 'MemorialDay',\n",
       " 'New Years Day',\n",
       " 'Presidents Day',\n",
       " 'Thanksgiving',\n",
       " 'Veterans Day'}"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "set(holidays) - set(joined.name)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Update: What's up with Fridays?\n",
    "\n",
    "A colleague of mine, Ariel Rokem, saw the first version of this post and noticed something interesting.\n",
    "For the most part, Fridays tend to lie on the upper side of the weekday cluster, closer in this parameter space to the typical weekend pattern.\n",
    "This pattern holds nearly universally for Fridays, all except for three strange outliers which lie far on the other side of the cluster.\n",
    "\n",
    "We can see these more clearly if we highlight the Friday points in the plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jstrick/.pyenv/versions/anaconda3-2.3.0/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  if self._edgecolors == str('face'):\n"
     ]
    },
    {
     "data": {
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Wq4Wmpr1oWoru7k7i8RjpdJq+vnyGen9/HyaTkVgsQm9vD0d/f1Bwu91ymIoQ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\nY4wxJnJ/AxENp8Lblbx7AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ba992b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fridays = (dayofweek == 4)\n",
    "plt.scatter(Xpca[:, 0], Xpca[:, 1], c='gray', alpha=0.2)\n",
    "plt.scatter(Xpca[fridays, 0], Xpca[fridays, 1], c='yellow');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The yellow points in the bottom-left of the plot are unique – they're far different than other Fridays, and they even stand-out in comparison to the other work days!\n",
    "Let's see what they represent:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index([2012-11-23, 2013-11-29, 2014-11-28], dtype='object')"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "weird_fridays = pivoted.index[fridays & (Xpca[:, 0] < -400)]\n",
    "weird_fridays"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All three of these outlying Fridays fall in the middle of May. Curious!\n",
    "\n",
    "Let's quickly visualize the daily stats for these, along with the mean trend over all days.\n",
    "We can arrange the data this way with a pivot table operation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Issz+AUL6wQpsomjWTUIgBWN9omBMdI0VjNO9tsXzPLMYA5XGJKlgB2Nti330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\nPk++vX14GEYr2dZWjJ7ucWMlhaqRLamgTQTpUgJEnUWUNdZx63uX09x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v//Iv+au/+ivs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\nUowlEolEIplj/j+l+qpcbelMbgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10baec860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "all_days = data.pivot_table('Total', index=data.index.time, columns=data.index.date)\n",
    "all_days.loc[:, weird_fridays].plot();\n",
    "all_days.mean(1).plot(color='gray', lw=5, alpha=0.3,\n",
    "                      xticks=hourly_ticks);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Apparently these three strange Fridays are days with *extreme amounts of bicycle commuting*.\n",
    "But what makes them so special?\n",
    "\n",
    "After some poking-around on the internet, the answer becomes clear: we've discovered Seattle's annual [bike to work day](http://www.cascade.org/f5-bike-work-day).\n",
    "Mystery solved!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Summary\n",
    "\n",
    "We have seen here that by taking a close look at raw bicycle counts and using some basic visualization and unsupervised machine learning, we can make some very definite statements about the overall work habits of people in Seattle who bicycle to work across the Fremont bridge.\n",
    "In summary, this is what we have learned:\n",
    "\n",
    "- Seattle cyclists, as a whole, tend to take off work New Year's Day, Memorial Day, Independence Day, Labor Day, and the days surrounding Thanksgiving and Christmas.\n",
    "- Seattle cyclists, as a whole, tend to head to the office on the more minor US holidays: Columbus Day, Martin Luther King Jr. Day, Presidents Day, and Veterans Day.\n",
    "- Seattle cyclists, as a whole, would never, ever, be caught at work on a weekend.\n",
    "\n",
    "Thanks for reading!\n",
    "\n",
    "<small>\n",
    "This post was written entirely in the IPython notebook.  You can\n",
    "[download](http://jakevdp.github.io/downloads/notebooks/SeattleCycling2.ipynb)\n",
    "this notebook, or see a static view\n",
    "[here](http://nbviewer.ipython.org/url/jakevdp.github.io/downloads/notebooks/SeattleCycling2.ipynb).\n",
    "</small>"
   ]
  }
 ],
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