{ "metadata": { "name": "", "signature": "sha256:526998fe82ee7cc0b0503fc403ad31ac04d614289016ffff4ef9a4983e839dd0" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Is Seattle Really Seeing an Uptick in Cycling?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*This notebook originally appeared as a [post](http://jakevdp.github.io/blog/2014/06/10/is-seattle-really-seeing-an-uptick-in-cycling/) on the blog [Pythonic Perambulations](http://jakevdp.github.io). The content is BSD licensed.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Update: as I was putting the finishing touches on this notebook, I noticed [this post](http://www.seattlebikeblog.com/2014/06/09/a-statistical-analysis-of-biking-on-the-fremont-bridge-part-1-overview/), the first in a series on Seattle Bike Blog which analyzes much of the same data used here. Apparently great minds think alike! (incidentally, to prove that I'm not just cribbing that content, check the [github commit log](http://github.com/jakevdp/SeattleBike/commits/master): I wrote the bulk of this post several days before the SBB blog series was posted. Version control priority FTW!)*\n", "\n", "*Update #2: I added error bars to the estimates in the final section (should have done that from the beginning, I know...*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Cycling in Seattle seems to be taking off. This can be seen qualitatively in the increased visibility of advocacy groups like [Seattle Neighborhood Greenways](http://seattlegreenways.org/) and [Cascade Bicycle Club](http://www.cascade.org/), the excellent reporting of sites like the [Seattle Bike Blog](http://www.seattlebikeblog.com/), and the investment by the city in high-profile traffic safety projects such as [Protected Bike Lanes](http://www.seattle.gov/transportation/PBL.htm), [Road diets/Rechannelizations](http://www.seattle.gov/transportation/pedestrian_masterplan/pedestrian_toolbox/tools_deua_diets.htm) and the [Seattle Bicycle Master Plan](http://www.seattle.gov/transportation/bikemaster.htm).\n", "\n", "But, qualitative arguments aside, there is also an increasing array of quantitative data available, primarily from the [Bicycle counters](http://www.seattle.gov/transportation/bikecounter.htm) installed at key locations around the city. The first was the [Fremont Bridge Bicycle Counter](http://www.seattle.gov/transportation/bikecounter_fremont.htm), installed in October 2012, which gives daily updates on the number of bicycles crossing the bridge: currently upwards of 5000-6000 per day during sunny commute days.\n", "\n", "Bicycle advocates have been [pointing out](http://www.seattlebikeblog.com/2014/05/14/fremont-bridge-smashes-bike-count-record-for-real-this-time-bike-use-rises-all-over-town/) the upward trend of the counter, and I must admit I've been excited as anyone else to see this surge in popularity of cycling (Most days, I bicycle 22 miles round trip, crossing both the Spokane St. and Fremont bridge each way).\n", "\n", "But anyone who looks closely at the data must admit: there is a large weekly and monthly swing in the bicycle counts, and people seem most willing to ride on dry, sunny summer days. Given the warm streak we've had in Seattle this spring, I wondered: **are we really seeing an increase in cycling, or can it just be attributed to good weather?**\n", "\n", "\n", "\n", "Here I've set-out to try and answer this question. Along the way, we'll try to deduce just how much the weather conditions affect Seattleites' transportation choices." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "A Quick Aside" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If anyone is landing on this page via the normal bicycle advocacy channels, I should warn you that this won't look like a typical Seattle-bike-advocate blog post. I currently work as a data scientist at the [University of Washington eScience Institute](http://data.washington.edu/), where I'm incredibly fortunate to have the flexibility to spend a couple hours each week on side-projects like this. Most of my [blog posts](http://jakevdp.github.io) are pretty technical in nature: I tend to focus on statistical methods and visualization using the [Python](http://www.python.org) programming language.\n", "\n", "This post is composed in an [IPython notebook](http://ipython.org/notebook.html), which is a fully executable document which combines text, data, code, and visualizations all in one place. The nice thing is that anyone with a bit of desire and initiative could install the (free) IPython software on their computer and open this document, re-running and checking my results, and perhaps modifying my assumptions to see what happens. In a way, this post is as much about **how** to work with data as it is about **what** we learn from the data.\n", "\n", "In other words, this is an **entirely reproducible analysis**. Every piece of data and software used here is open and freely available to anyone who wants to use it. It's an example of the direction I think data journalism should go as it starts to more and more emulate data-driven scientific research.\n", "\n", "That said, there's a lot of technical stuff below. If you're not familiar with Python or other data analysis frameworks, don't be afraid to skip over the code and look at the plots, which I'll do my best to explain." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "The Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This post will use two datasets, which you can easily access with an internet connection. You can find the exact data I used in the [GitHub repository](https://github.com/jakevdp/SeattleBike), or access it from the original sources below.\n", "\n", "First, I'll be using the Fremont Bridge Hourly Bicycle Counts. To download this data, go to the [fremont bridge](https://data.seattle.gov/Transportation/Fremont-Bridge-Hourly-Bicycle-Counts-by-Month-Octo/65db-xm6k) page, and do the following (I accessed this on June 6th, 2014):\n", "\n", "- click \"export\"\n", "- click \"download as CSV\"\n", "\n", "Second, I'll be using weather data available at the [National Climatic Data Center](http://www.ncdc.noaa.gov/). We'll use weather data from the SeaTac Airport weather station. To get this data, go to the [Climate Data Search](http://www.ncdc.noaa.gov/cdo-web/search?datasetid=GHCND) page and do the following (I accessed this on June 6th, 2014):\n", "\n", "- Choose \"Daily Summaries\"\n", "- Choose 2012/10/1 to the present date\n", "- Search for \"Station\", and type in \"USW00024233\" (ID for SeaTac Airport weather station)\n", "- Click the icon on the map and \"Add to Cart\"\n", "- go to \"Shopping Cart\"\n", " \n", " - make sure date range is 2012/10/1 to 2014/5/14\n", " - choose Custom GHCN-Daily CSV\n", " - click \"Continue\"\n", " \n", "- next page: click \"select all\"\n", "- click \"continue\"\n", "- enter email address and submit order\n", "\n", "When the data set is ready, you will get an email with a download link. It was about an hour wait when I did it." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Examining the Fremont Bridge Data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first thing we're going to do is load and examine the data from the Fremont bike counter. We'll use the [pandas](http://pandas.pydata.org/) package, a free and open source set of data analysis tools for the Python language." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# some necessary imports\n", "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# Load the data file, and create a column with total north/south traffic\n", "\n", "hourly = pd.read_csv(\"FremontHourly.csv\", index_col='Date', parse_dates=True)\n", "hourly.columns = ['northbound', 'southbound']\n", "hourly['total'] = hourly['northbound'] + hourly['southbound']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Resample the data into daily and weekly totals\n", "\n", "daily = hourly.resample('d', 'sum')\n", "weekly = daily.resample('w', 'sum')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's take a peek at our data and see what it looks like:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "weekly[['northbound', 'southbound', 'total']].plot()\n", "plt.ylabel('Weekly riders');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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gYCDjxo0jMDCQkSNHsmrVKu1cg1WrVjFt2jQCAgLw9/dnxIgRAEydOpWcnBwC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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The red line shows the total number of weekly crossings, which is the sum of the northbound and southbound crossings.\n", "\n", "At first glance, April and May 2014 include some spikes in the data: over 32,000 riders per week crossed the bridge one week in May! This trend might be a bit clearer if we use a **moving window average**: basically, for each day we'll take the average of the 30-day period around it:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pd.stats.moments.rolling_mean(daily['total'], 30).plot();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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tkc/JoTLGcqOWa9KUHkePAv/9b83yqVPAunXAuHGOl0uCjTzjcOQOn1Q7ffpQ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\nPaT3uZb0abTE31NZWSnGjx8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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the increased ridership that folks have been talking about. There is some seasonal variation, but the trend seems clear: 2014 has seen a lot of cyclists crossing the bridge.\n", "\n", "But it is clear that there is still some seasonal variation. What we're going to try to do below is to **model this variation** based on our intuition about what factors might come into play in people's decision about whether to ride.\n", "\n", "For simplicity, I'm going to stick with a **linear model** here. It would be possible to go deeper and use a more sophisticated model (I'd eventually like to try Random Forests), but a linear model should give us a good approximation of what's happening." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Step 1: Accounting for hours of daylight" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The largest component of the variation we see is a seasonal swing. I'm going to hypothesize that that swing is at least partially due to the changing daylight hours. We'll compute the number of hours of daylight and use this to de-trend the data.\n", "\n", "Fortunately, my PhD is in Astronomy, so I once-upon-a-time learned how to compute this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Define a function which returns the hours of daylight\n", "# given the day of the year, from 0 to 365\n", "\n", "def hours_of_daylight(date, axis=23.44, latitude=47.61):\n", " \"\"\"Compute the hours of daylight for the given date\"\"\"\n", " diff = date - pd.datetime(2000, 12, 21)\n", " day = diff.total_seconds() / 24. / 3600\n", " day %= 365.25\n", " m = 1. - np.tan(np.radians(latitude)) * np.tan(np.radians(axis) * np.cos(day * np.pi / 182.625))\n", " m = max(0, min(m, 2))\n", " return 24. * np.degrees(np.arccos(1 - m)) / 180.\n", "\n", "# add this to our weekly data\n", "weekly['daylight'] = map(hours_of_daylight, weekly.index)\n", "daily['daylight'] = map(hours_of_daylight, daily.index)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot the daylight curve\n", "\n", "weekly['daylight'].plot()\n", "plt.ylabel('hours of daylight (Seattle)');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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39FKdk+rVgZo1gR07JNl9ntjT9aUWzLHl+HGeidO8ufR6DBgN46Smplq14/Dw8Hz/funS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\nIQG//fYbTpw4gZiYGGRmZmLFihVyy5C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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks reasonable: just over 8 hours of daylight in December, and just under 16 hours in June.\n", "\n", "To get a feel for the trend, let's plot the daylight hours versus the weekly bicycle traffic:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plt.scatter(weekly['daylight'], weekly['total'])\n", "plt.xlabel('daylight hours')\n", "plt.ylabel('weekly bicycle traffic');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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8vLxEJOtuY/bs2abtu3TpIvv375eYmBhp0KCBqXzVqlUyatQo0zbh4eEikrV2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\nUFAv08qAhWEwGDAabe8psSv08caOHUO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FQykvnw+8QnFxIm+8Mad6QotIvafiMNmUKf9L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\nxCkqDhERcYqKQ0REnPL/Hbt9RXgEoLIAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see a clear trend, though it's also apparent from the wide vertical scatter that other effects are at play.\n", "\n", "Let's apply a linear fit to this data. Basically, we'll draw a best-fit line to the points using some convenient tools in the [scikit-learn](http://scikit-learn.org) package, which I've been active in developing:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn.linear_model import LinearRegression\n", "\n", "X = weekly[['daylight']].to_dense()\n", "y = weekly['total']\n", "clf = LinearRegression(fit_intercept=True).fit(X, y)\n", "\n", "weekly['daylight_trend'] = clf.predict(X)\n", "weekly['daylight_corrected_total'] = weekly['total'] - weekly['daylight_trend'] + weekly['daylight_trend'].mean()\n", "\n", "xfit = np.linspace(7, 17)\n", "yfit = clf.predict(xfit[:, None])\n", "plt.scatter(weekly['daylight'], weekly['total'])\n", "plt.plot(xfit, yfit, '-k')\n", "plt.title(\"Bicycle traffic through the year\")\n", "plt.xlabel('daylight hours')\n", "plt.ylabel('weekly bicycle traffic');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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/v+TvLi4ucHFxkfkxGaalE4lEGDBgBOLjTcHnj8OlS0dx+bI7Ll78s1mNbMrM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\nxIkTaNu2bfkH1dCkgbfC5cuXqVOnTuTs7Ez+/v71apYXEVFoaCi1b9+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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once such a linear model is fit, we can look at the model coefficients to see, on average, how the change in one variable affects the change in another:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(clf.coef_[0])" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "2056.44964989\n" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tells us that according to this model, each extra hour of daylight leads to about 2000 more riders per week across the bridge! Of course, in Seattle the length of the day also correlates highly with temperature and precipitation; we'll try to untangle those effects later." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have fit this trend, let's subtract it off and replace it by the mean:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "trend = clf.predict(weekly[['daylight']].as_matrix())\n", "plt.scatter(weekly['daylight'], weekly['total'] - trend + np.mean(trend))\n", "plt.plot(xfit, np.mean(trend) + 0 * yfit, '-k')\n", "plt.title(\"weekly traffic (detrended)\")\n", "plt.xlabel('daylight hours')\n", "plt.ylabel('adjusted weekly count');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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GYRhGJVhCYRiGYVSCJRSGYRhGJVhCYRiGYVSCJRSGYRhGJVhCYRiGYVSCJRSGYRhGJVhC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\nMf2hbR86dIiRI8djMLhgNl9lyZJFvPHGq9WuddG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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is what I mean by \"de-trended\" data. We've basically removed the component of the data which correlates with the number of hours in a day, so that what is left is in some way agnostic to this quantity. The \"adjusted weekly count\" plotted here can be thought of as the number of cyclists we'd expect to see if the hours of daylight were not a factor.\n", "\n", "Let's visualize this another way. Instead of plotting the number of riders vs daylight hours, we'll again plot the number of riders vs the day of the year, along with the trend:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "weekly[['total', 'daylight_trend']].plot()\n", "plt.ylabel(\"total weekly riders\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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DB0va/PLLLwCAffv2oWfpJVNrGOI3hJqALrJo4qpydJSdmU1EWHVhFcYfHo99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\n", "text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can similarly view the adjusted total number of riders over time by subtracting this green line from the blue line:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "weekly['daylight_corrected_total'].plot()\n", "rms = np.std(weekly['daylight_corrected_total'])\n", "plt.ylabel(\"adjusted total weekly riders\")\n", "print(\"root-mean-square about trend: {0:.0f} riders\".format(rms))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "root-mean-square about trend: 3100 riders\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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czlbFERbW6P5SAjdi3Fn3eWio6613McWh0TRaHZ6mOPjk5irLqrNUHBpNo9Xh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\nokWLrPLme/bsMV0Dq6GhAQ8//LDpMblcDp1OBzc3N8jlclO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"text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the data de-trended, we get a better idea of how bicycling in Seattle has changed over time, corrected for the seasonal variation." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Accounting for Day of the Week" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above we've been looking at weekly data. This is because daily data shows a clear swing as a function of the day of the week, which we'll show here." ] }, { "cell_type": "code", "collapsed": false, "input": [ "days = ['Mon', 'Tues', 'Wed', 'Thurs', 'Fri', 'Sat', 'Sun']\n", "daily['dayofweek'] = daily['total'].index.dayofweek" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "grouped = daily.groupby('dayofweek')['total'].mean()\n", "grouped.index = days\n", "\n", "grouped.plot()\n", "plt.title(\"Average Traffic By Day\")\n", "plt.ylabel(\"Average Daily Crossings\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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kQHw8bN4MTz4JDg7mjtC61K4NAwbAunWQnAz29tClC/TuDatXQzU+Gl0IcQvpwqpCV6/C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\nzi7X+W2BrffDSn7Wq7pyu+c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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you might expect in a city of bicycle commuters, there is roughly 2.5 times the amount of traffic on weekdays as there is on weekends. Bicycles are not just for entertainment! In Seattle, at least, they are a real means of commuting for thousands of people per day, and the data show this clearly.\n", "\n", "Let's de-trend the daily bike counts based on the daily totals. We'll add a variable for each day of the week, and use each of these within the trend (this is an example of what's sometimes known as \"one-hot\" encoding)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Add one-hot indicators of weekday\n", "for i in range(7):\n", " daily[days[i]] = (daily.index.dayofweek == i).astype(float)\n", "\n", "# de-trend on days of the week and daylight together\n", "X = daily[days + ['daylight']]\n", "y = daily['total']\n", "clf = LinearRegression().fit(X, y)\n", "\n", "daily['dayofweek_trend'] = clf.predict(X)\n", "daily[['total', 'dayofweek_trend']].plot();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ZsDx4GA4j2TWeJ5/hmIp+o9tnB0fJWwRuqRIhRk/ymgavvTa8XWNF6Qzl10ty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\nCiC1+5KP+JzOMWUUjXaTi3ED1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"text": [ "" ] } ], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This shows all the daily bicycle counts (in blue) along with the best-fit trend based on the day of the week and the number of daylight hours per day. It's more clear if we plot the de-trended data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "daily['dayofweek_corrected'] = (daily['total'] - daily['dayofweek_trend'] + daily['dayofweek_trend'].mean())\n", "print(\"rms = {0:.0f}\".format(np.std(daily['dayofweek_corrected'])))\n", "daily['dayofweek_corrected'].plot();" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "rms = 698\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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fXU3bp08LkZpK/9PS6LvsbCEefFCIb3yDjlm9WoivflW7vx6PEN/8phDXX6+/\n71Z/tbV0nuXLabutTYjNm4X47nft3d9776XfDb/6lvT2ChEbK8THPibEiy9q+889V4ijR+lzbq4Q\nb78tRHGxENu2UT/g79mFy7Fj1u1j0yb/fcV119H3U6cKkZFBn++80/e4u+6i72bNou0//lGIz3yG\n2hsgxNe/LsRvfqP99uGHhbjgAmp7Tz0lxK230n5+XrGx1HdaEZY5qKGhAZ/4xCewaNEiXHLJJbjh\nhhuwdOlSbNq0Cbt27UJeXh727NmDTcPxcAUFBVi1ahUKCgqwYsUKlJeXj5iKysvLcffddyM3Nxc5\nOTlYvny56TVZVUpNJRWRVV5WRY8csVd22cSQlET/zWKSZcdYpBgNnwDbhNnuHgjZgRWKYzg1FfjX\nv7y2ywdoKjSbQmSVlpF9AsbyGTGag+LjQwtbNXse/kwWdXUUJtjaqtnI2VzB5gsOXOB2efQomWlS\nUii00ez827drpqPeXn0+JTk6KDOTzm1cbYrrMmUK3Q/+Tghfc1BLCy07uHGjlos+Pd3e/dq1i57h\n4CBFBqWk0G/tOuXZzh/InPjcc16kpFC5ZZ8A32OAzFDbt9N7f+WVkTMHPfaYPpqKaWkhP5ZZ2dk8\nLZukX3wR2LrVqzuuq0szu5mdx8oxzM842BBR7t+sCMscVFhYiNdNQgLS09Oxe/du099s3rwZmzdv\n9tm/ZMkSHDp0KOA15anSAwP0Mh45on/ZrKiu1qaU9/RQDPaiRdSgOzrIodfWpjUwYHSEwGjAeUjs\n2unlzjcUx3BaWvA+ge5uEh6yT8AYTSFHBzFW15EnlU2ZQp8DCYH77gO+/339YvacLE0ui7GTrq4m\nx/PMmdQRzJ9PQoDj5js6qG6yEDh1SusYCwuB887ThEB3N11XLsfXvw786lfUDtkfAPj6BMgUQ+c2\n+gQGByl9QHy8/j53dGg2/IQEyrianAysWgX8/e/0e7uzme+8k/whchnT0mhGeCD+9jeKJAKoHRkH\nLQ8/TJ3sZz5D94iFgOwTMAqBQ4coiiotjc4pC4HDh8k0Jr/Tdvjb38wdvR0ddB2zAAQe3MjP9Yor\ngMWLKcxWFg5CUHuLlE/AX4hocrJ1niIgCmcMy53Xf/wHRU8AWgSGv1GAHK8NUKNPT6eHx8LDOImG\nH8jwPDgdzz0H5OfbLzszGvMEuDOyOxKW72Owk8W6u+lFOOccj+3yyb8LpAkYXwwrDSVYTUAI4Ic/\n9BUq5eWeExUhAAAgAElEQVQefOxjvmUFKBLF5QI++1lKv8CRQ3Pn6oWAP02AX+Z33qHvYmOpnsYE\nb+++S/ekrU3fwRqjg6ZMoY7y5ElNOPA9uvhisje73Xoh2dGhjQinTKH3hcNqOzro97ymgD/4eT37\nrL6MdjUB2fFs9q5u2EDzKACah5KSQuVkTaC/n8rK1z3rLHLIGu8Vh1EWFNAC78FiFf7c309C3KxN\nGuduMHFxHgC+QSspKcELAZeLzj80pB8Qh6MJRLUQuP567eGzJuCvEzCOOubM0RpNTQ3tMwqB1lbq\n6DmSRqaiwjoh12hTX69Pncydkd3YfXnUG2wWUdYEgp0n0NNDnQW/LHJDZuTJYoxdTcDt9v/8+eUw\nvqRy3Da/qAMD9JkHDm++SR1nSwvVPS3NVxMAzIWAPMJmzTIhQR8hdPQolevtt7UQUCtNID5eEwJG\nLY47A1nDYCEgm4Oam6lzYFPLwIC9xWRmzqT/XV10Xp61m5amjw763OfM20dnJ0VezZ9vHiF19tla\nXfheypoA7+P6nXUWmedYE4yJofvX2qo9U44oDAar6K2BATqfWZvk3xg7YW7v3La4HzITAk88oQkt\nMyEwZYqmCcjmIn8hovzcrYg6ISB3XvLIr7mZXgy54ZWX04iFMTbyWbM01dyfEFi3zrwhBWsOaW0l\ntTASPoGKCjJrMDwKs6sJmPkEgjEHpaYCb7/ttfcDaPbr6dM1UwirxDLB+AR4f3e3PU2Az2t88Xp7\ntXp0dtKzjo/Xx8Vz1A0LgdRUX01gcJBe+KQk+r6lxVcIsFmC2x3DidnkyVrcsckCgwXetGla2KZc\np5df9vq0895eX59AczPVMyWFOtaBAd8lJtnSe9552j7WFmJizDWB/n7qvJ54wnyRn7Y2OoeV7V6+\n1osven00AdkUBGiaAN8r3tfUpNno/ZlCrLDyCQ0M0LMza5NGTYDLfOKEF4DWObMgTU72Pc+772rP\nVE4kx0IgPj7yPoGoEwLyyNHt1k93z8jQdwIHDgBvvaVtG294err2MvIoxkwIzJljPjLga/lbrEPm\ntde0PCwA2R0XLLA+njtKMxob9UtsBqsJcAOTnYt2NYGeHurkghGC3KlNnao5Fc1mV5qZg6w6dt7f\n0RGcEDAKGXmbO/np06ktyLlyWBNIT9dGm7ImwKNtl0tzzDY3axlSAV8h0NNDz+zwYdrP99TK1MLm\nILeb7pNRExgc1HfmbC9ub/d1DCcl0fPo7CS/gFEIsDC56CIyowFaB9bZ6esTaGnRd55meYbOnKF7\nZyUEWMgMDtL3VpoAk55O+7gcgCYE+PrBJHtj/GkCLASM76as4QKUEmLmTK2efDyv0zA46NvW5bbI\n55E1AV5DOBifwIQWAvHx+tFgWpq+E2CHL2OU7mlpmjmIH7osBITwLwT42ldeaa/s3JDZJ/Cb3/j6\nKWSuvJIcd2ZYCQG7mgAf190dvCbQ10cv4uzZHns/AN3jxES9zdZoCgKCcwzLOfZZCPT302xwM8Es\nO09lhoa0erS2koDjkbbcHpqaqFO30gTkoIL4eOoU3W59cIFRCFx8Mc22ZU3ATAikplI77uvTNAG+\nT0YBvnixx0cIxMZqnT6gmZeSkjRB/P77dE55vQA+j9tNkUQAddI0B8FXUDU365+d2eSxQEKAn01P\nD/mczDQB2bzBGrqZJsCCM9KaQHy8eXoG2dfF16V0KB4AmhDgstbU+BcC/DkmRlvIyUwTmNQ+AdkG\n3NNDL5tRCMhRBcZRclqafkTmculfer7Z8gxN5he/CD4UzZjJ0V+OfIDCy6yOaWwkdZcbSrDmIDk1\ncTBCgBvt1KnB+QS6u+le8/028wcAmk/AzFxlhK9v1AT27dNy+MgE0gSeeYbSXctCoLVV68Rln0Bq\nql5T6OzUj1Lj4+kZpaXpOyg+F4eJvvUW2a7ffpsGG3x/5Q42JoZGlKdOaT6BuDi6L8YlOLkzYITQ\nHMHcefJ5uXPgBHFuN2U35eP4PHFxWmc7axZFGQ0NUf35XImJtE8edZs5imUh8IlPUIiqjDyoM/oE\nmpp8NYFAQmDu3OCFwGuv6S0IMmw2k60QjFET4Egu43FuN3DddZREz64Q4L7IyhzkTxO4+Wb/9Y06\nIWD0CfAN7u2lxmGmCbhc9AKZaQKyEJg9Wy8E2GRhtN8CwPr1wMGDwZWdRzPsE7CTjuLcc833NzZq\ndmpAWxvWbscspwoOxhzU10f3fcoU4Phxr72LgV7IadO0zs+fJiB/J685bITrevQoORRZCPT16V+8\nigotqgLQ/n/hCxThBXgRE6PNMTFqAmzTNwqB1lboctsYhcCJEzRCljsoXotBblNDQ9Q+rYQAQJ1v\nY6NmDrLSBF55RfMJxMZSXRMS9EKAy8NC4Atf0O49oI1Y+Txxcdqxs2ZRnVJStLkMAN3f9HRyVs+Z\nQ85fM02grY3uLXfe+/bpv+d6dHfTPBR5nsCMGWQ2MxMCZuaglhZqF21t9k22APDNb1p/x0LWnxCQ\nAxaSk2kmL6Dd17g4MgU/+KDvOfwJAdYEzBLICWGtCRgj34xEnRAIVhPgjrehQes0uHEbhUBGhq8Q\niI31FQL84OQcd88/D/zjH/7LLmsCQvjXJLjBnHOO+feNjVQPdr7V1PgKQX9wfexoAv39WrZG7oQ4\nbYRdDh+mKCt2cgbyCfB3/lRZfp6HDtG5rYQAJ6Q1moN+8xvgxz/Wrjt9On1OTaXP/oRAQoI2Gma7\nuh0hwLH6/Bsuz+Cg/p7KHSygDwk18wnIdePOnLUO9k9YCQHjyJ87ETNNwOOhrKj8W9kJnZZGwiwu\nzjpklDUB9oVdcIH+e1kIsE8gKUkTtkYhwNFJZppAayu9P/X19k22AM0dsoI1AdbEZIzRQT09dN94\nACILAUB7hjKBhIAcHWScVGYlBAJNII1qIWCmCcgjYVkI9PZqkprnFsg+gZ4eLSc9wxOIjEKAG6S8\nb/lysu36Q/YJdHTQeXkZQIBGIHxufoGsOsGmJpqEwlFNR47QRLjeXhoZB8rZJ5uDeH1SKyHw859T\nSF97u2aOmDIFSEvz2E4GVlVF5eN7GcgnwA3bX3ifrAksXKgNCvr79S8oJ3oziw6iESLZ0bnTNJqD\nWAi0tVEnl55O9zc1lYRxerqmCfA54uOp0zYKAW57csI1tvfKQsCoCWRkaEJANgcZHcOFhR5TIQDo\nfQLyveX9djSBhQuB1au1jkVuZ2lpVEYWAv58Apygj1OIM7I5KD2dchQlJ2vzC6qqApuD2KnPmgBH\nCQWTWG3WLP05GXbOmnXgPT3aSB2Q5694dI5k+b4GKwSszEGAtTkoUOhvVAsBO5oAd6ochQFo0+Pl\n2Zs9Pb7pgflGc0RLSwuNKCorfcvFIzwjslCSNYETJ0joTJtGZeQsqD/7GX3PdkwrE01HB2VvPHiQ\njvnwQxoNc0SK2W9lLUc2B/mbACMfy/eXNYFnnvFd3cmKt9/WNIGensA+Af7OnyYgP+uMDGtNgLN+\nmjmGuW6xsdo109KorpzyNzOTvktNJUc+m3RYCMyYYW4OAmjbTBOYMQOQJ9WzvVfuBGUhwNE3RnOQ\ncbKYHOppnO3OnQGXhyNxjJqAccQqawJcL7OOhWfSxsVp8wZaWoD776f6/fOf9Cyys2nlswcf9B14\nyJoA38+kJC0I4tChwEIgIYHa2//9H2kC/lI0mNHZab1yWCCfQFKSXhNgrU0WAvJ99Tcx0p8QME4W\n4/OZOawnnCbgzydgJgS4Q+RR7GWXAX/+M+2bOVMvBHJy9Cv98I1mdfroURo5/u53vuXi0Dn5+jyT\nkR8sCwGv14uGBuoQeMTJnRHHZvvLrzI0RJ33xz9Oo9wTJ2hkyZoQNwr2EwC0EE9qqrbd00Mvf28v\nlTkx0VoTkDtiHolSdIfX/AcmdHZSXe1EB8mmIjuaAEB1thICZmGUMrm5Xl24HmsCzz9PZS0qonsw\nYwZpXkYhMHcudX5mQiAx0VwTmDkT+O1vtf2sCcgRT7IQ4LrJ5qCODlrQRa7T669rPgEWAsaOhr9f\nvJj+G007Zp2V20315zKZhS673fQuxcVR53vsGLB3L/Dd7wJ/+hM5Qq++WitXXBy9Tz/9qXYOnmfQ\n1QUcO6b5BFgInDljbg6S71VCAl133jxg6VJt8CO/m3LeMSOcGqKvT6vn4cPkwLcSArzewtSpek2A\nyuU1FQJmgiSQJiCHiMqTxQBtIDOpzEFWmgDf7K4uvRDo6QGWLaNRiBDUuGRzkFEI8I3mJF7sA6iq\n8i0Xd9q8mAhASagA7SXk0f3QEHyEAEeZsLOYzye/wIcP08iKJzTNm0fH19XRaFXuKADNVASQI0qm\np4fU5t7ewJqALATYMWyl+Vgh21LZBh4pnwDDgwKjOcjo8+D/LGB+9CPqvLgtpaZSJ/C3v1EUBzsy\nzzqLJvMYhcC8eWRysCMEeLBgNIPwKI/r1NWl/x0PRGRzkKzZ+fMJGH1PPDLmelhpArKDGaA68uep\nU6mDlYmNpXbldpPZ6B//oLUVAHpnEhI0/wxf74UXgK98RTN/DgxQuY0+Adn0akcTGBqid12+z3Kb\n+PrXaXEgMzo7tfQefF+Li2mpTyshIIfuGjUBNt2Z+VpCNQfJGp/yCRh8Am1tdCMOHaKGwzmF2tp8\nnW2Apgl0d9PopaVFH3bH10tMJAGRnKwPP3ztNVq278QJGjE++aT2HTttjULg8sspH3xOjq8Q4BfU\nKAQqKykPyle+ok1KSkykF6W+nkajPJJkrUIupzGSSU7mxkLAShOQTT7c2MlO7jH/gQmyEBgYiKxP\ngLHSBIxZUrmebA65/noPEhK055OeTkKuu5vua3IydURnnaV9D5AQ7esjIXDypO88AUBbFAagcEju\nWFkYMOwYljOtyi9vfDxpov39VI64OH3nznXKz9d8AhxZ1tSkt91/+tM0UmaM74SZJmDklVf05iyA\nnmdvLx0vLyW6ciUNYKZP15dDPi/b7fv7NSHgdntGNAH5eDtCAKB2Kw8i5DbR0mKd66izk34nTz7k\n9mgVHcQ+HNkcw/1NUhL5BHi/bL4JZrKYHCLKZkG5bFY+AbPnJxPVQsBME2CbfmOjNpoANE3A6OyR\nzUFJSWSn53PIdjcWAhw5MGcO8N//DSxZQip+ayslmfvzn7UJYHxtfrBsDhoY0GzkshDIybEWApde\nqpWZR5xcditNgBezBsztl6wJ9PX5D8WUaW2l63CHaBceoXLDtztPIFhNwMwxbKUJzJtHS1QC1Jmc\nOUOj2xUrNLNNRgZFstxxh1Zn4wiahUAgTUBOnmt8MdkcxEKAR9Ry3Z56CvjkJ+mz203ta/p0igM3\n8wn88IdaVJc8azk5maJ8GO6U+H6ajViNmPkEZCEQEwPcdBNpo3fdRUJANkcaz8sj/YEBuof8TiYm\naveUUzvbMQfxf3m/3CY6O33n7cjfJSXpzXPcHmXHsHw+9uHI5hjZdMeJ7+RzBRICjFmIKGvkgK9P\nwCgEAgWJRJ0QkE0IsbE0ahkc1DQBhkf+xm1/QiAhgV5oNgnJJgsWAmxHvfZa4Ktfpc/cGeTkkDZh\nzGhqFAJer3dECPDMydZWGrm1t9MD7ujQNB3Zdjl9uqYJsMO6vp6EADfa3l7gox+lpHc330x1M3a4\nnPpB1gSszEHGWaBTplDDionxmv/A4hx2NQH5O3+agNGma6UJGDUAeTs2lp7HtGk0MlywgNqBLATS\n0zXnJqAJAxZQdjUBue0Z04XwKE/WBOSOdsoUaic8wmZN4KyzqHxcpzff1HwCiYlaigJZCFjB7wtr\nAi6XlvHUDrIQAID//V96J+bMoUSLHILLmAkBWRM4c4bqwveZfy+/53xP5XPJmoAxkR4/w64u/0Ig\nOdlcE7AyB7HAkjUBHnT293vR16c37wCBfQKMWYioLAQCaQKBiDohIHccLpd2I1kTYE6d0jorwDc9\nLyP7BBISaEq8LAT4es3NlBSLX145dzo30pQULTUvYC0EBgdJtc/N1eLmW1u1XEZvvEHCIC2NHry8\nUA5HE8nmoKYm6gxkTWDePOrU/vpXihyyEgJ2HMOyEGhq0hpfMH4BY3x1JHwC/ALxM2bNUBYCsmnD\nKAzk5zttGtWNO1CuGwsDAHjgATKxGUMueRJcba0+RBTQawJyp37hhdRJMmbmIKMmAGjtl4UA+wes\ncgcxgSYMAb5CgK8TqhBg5s6l/3aEgKwJGOvCPhC5nco5sBhZCMh8/euaNtLZaT1PJ5AmILfjf/s3\nKuvTT5OANmoCCQnasYE0AbNcQny80SfAviHj+SadEAC00TJHBzF/+YuWHwWwrwnIQkBeaOT+++n/\n4CCpto8/rp1DnnQjr4LEjcwYHXT++Z6RlZwSE6lx3347NehPfIKylspCQF7cYmiIzi+bg3hb1gTk\n6eq9vfoUyYBmDrLSBD7yEZoVDehHK83NWuPbscMzYhoJRLA+AX65/WkCXC7uKMzMQdwpsTMa8O0w\nPR4Ppk2juvG5ZsygMshCYMECcngysj06NZXajZUmwC+ojFmnKJuDjD4BPh+gmYPi4/UOzJwcj08n\n3NJCzm9/3H47RZsZcbuDEwJGMxagCQHjuyefl+stawLx8fq6cISQWZuzIwReekn/bgYyB8maALfH\nH/xA0wQGBmgRoOpq6m8efNBcE0hN9dgSAmefTVFURsyEgJkmEKoQsPl4nYOx4+DRn6wJpKRoTivu\nlOWOXoY7UraLZ2VpdlS5o/ryl+kmX3utryrP6W95xSe25xs1Ad4+fpxG6i4XXZ8jmBoayO6bn68X\nAu3tZGZ6/306B5uD2D7Y2krbnAKCZypyx9/bq+/8k5J8fQJGTeDQIb2dmWlp0V7m7OzA9kZGVqPt\n+ATszBPgcslCgM1nLAS6urSVlYyhovJ1WBPgZxsXB/znf1J7sEKefOV2071h06BREzCL0JBDJbks\nVj4BOa00/8ZME2CbtYzRFm/GE0+Y74+EJsDlkReU4XMzsiYwbRrVTfZv3HgjdXBPPun7Dhvhe2UU\nAvLExlB9AhwCK5tyWltJ2z73XP8+ATPHsDzAkucoyQQSAny+SWMOMo6mZBMIv5Rs/7zuOm0fj5CN\noxF+0CxF587VQkGNo9X1681TP198sXYuM01ANgclJgIVFd4R225iIjWiuDgaTcycSeXgePT+fhIC\ny5YB995L55QX1khMJNNXcrJeE0hI0F4+OVMoT5qLj9fy+PT3mzuG+QUcGKBV3K65Rm8O2rfPayvf\nEJ8jGJ/AwAA9B38vvJUmwELg8ce1cFq32ze3i9En0Nys70C/8x3/sy3lvDVxcVo2Uy4Lf8eT64xw\n3fg+cCcKWJuDZBt4VxcdI2sC1dVe2522HYLVBMyEAGPs5AL5BDo7vSP3Zvt2Mm2atYddu2j+ASM7\nhmVkIeBPE+jqomcrCwG5rRqFwKlTNE9kzhzz6KCuLi8uuUSro+wTsPP+mM0TMIsOmrTmIJ6g4nJp\njYpV+Ece0UZmcucoYxQq8lJ+xnVnrbjsMlrlDKDrWWkCnZ00+q6vJ02Ar8fpqtkEUVhIi+F89KP0\n4Ds66MVYvFivCQB6IcCzXOURCEDlkYUAa0QJCf7nCfDvuQNPTtYcw3zv7EQU8TnYychCwJ9PYGBA\nc7T5Oyf/hu8Fz4A+eRJYs4YENJt5rIQAQM9FNgfZwagJcKcM6DWBhARzTYBH6PJIzq4mIJuD7PgE\ngqGoSEsdHQlNAAC++EUyOckE6xOw4ppr9P2ClTnIOHvfSgiYLVcqa7zG6KCqKvIhGSdrsTmINXK+\nnr/oIDOMIaLG6CArx/BZZ9lLUhl1QsBofoiPp05OHmnxBJEZM6jjcru1+HmzEZl8Xlk6W41WjSQl\n0RR1wNcxHB9P5+PJIhS77BmJNWefgFyup5+mEfc112hCICVFiySSc6onJlKHl5ys5aMxCoGODm35\nuaYmLZKBRzp9feZL5vELyLHRycl6TeDqqz1BCYFgfAJ8TfkY4yxVoxBgp3lfH83fAOgl4A6VO1jj\nxCr2CTQ1hScEAF8hwJqAmRDIytKvQSwLgWAcw7ImkJ3t6xMIlhdf1EJnjc/AH1x+s+v/6lfAQw/p\n9/FxU6aYawIxMaHVxUoIyBg1gfh4YOtWahMcFSUPCOXBCGsC/N2//qWZDc00gcREDwDNsS132pxY\nzriYlYzd6CCjJjA0ZK89R50QMOJ2+64sJJsHeDFtecq9GXJOFO4MrezW/jCag1JS6EGznZEbjxzG\n19qqLxc7jOPiKN/Kj3+shYSyJsAOSN6XnKwl7eKRviwEuONdtEj7nqNReAISazA8yUw2B7ndmibA\n98psPWArgp0nwNeUXz6jmsvPievJkwV5JS0ZM3OQ0SfAifTsIjuG/QkB46xhmbQ0fadg1zEsm4P4\nnjY306IwwdTBDB7p8udgNQG715cnf8kCmjUB2ScQDIGEAAcOyNFB/f0k+OQ2ICeONJqDYmOBDRto\n+/hxzb/DHTugDTqN+Z3kZSP52Rn9JTKh+gTsWjKiXgjEx2vrpTJy9ACbSVgTsLIxy2q2PLnIzk2U\nMTqGjUIgNhb44APNbsvmILNOgo/hkb8sBGRNgOuZnk6jWStNgDl5Um8O6usjIcAzZs8/X399K3PQ\nCy94w9IEzO4tq9NmmoBRCJhpAi0t5jZRNhsC1j4B+Vx2kJOqGYUAlzs+ntKUyOGgRuSXmMtuNk8A\n8O8YPnwYaG2NrE8gUuYgq+MBbeQP6DWB3t7Q6mIUmEa4829s1C84096u3VNALwSMM53r67WMALW1\nehOp0THc2urVXd+oVTz/PAWDWGG2xrBdTcBO4EZYQuDDDz/E1VdfjfPPPx8XXHABHn74YQBAc3Mz\niouLkZeXh2XLlqFVWmy0tLQUubm5yM/Px86dO0f2HzhwAIWFhcjNzcUGFrE2cLsprr6ggLa7uynf\nOc8ulIWAP01AjuWWhUAomsDTT2szlJOT9UKAIwLkmcg8C9esbvJ5ZXOQvEwhQNucuTGQEDh61FcT\nmDHDdwUmo08gKUmvCfBiFnYcUXbNQS6X1uh5ZMNYaQKyEDBLX8yjWX8+gVCEAN+fmBhfISB37Ozn\nsUI+ljGbMQz4DxFlk0K0CAFZEzBGBwXjEzDCub743XjuOX2UV2cnlfX0aeCGGzQzY1UVvQeyEGCB\nYey4P/xQ2z5zRq8dc/ti563RzGo8165d/t8huyGiRk1AiDHQBNxuN3784x+jqqoK+/fvx89//nMc\nPnwYZWVlKC4uxpEjR7B06VKUlZUBAKqrq7F161ZUV1ejoqIC69evhxh+AuvWrcOWLVtQU1ODmpoa\nVFRU2CpDfDzlMeF0DgkJNDGGk6exOSiQJmAmBEIxByUkUOOqqNBMMgMDWpRKbCyQkqLZOs18Aoz8\nAsgzhGVNQB5x8vWamuwJAVkTMBMC3Jhln4Bsprj6ao+u0fvDrhAA9OqyUROglcC0c8r3yezZJiTQ\nPAt/0UEej8d0kZRAGE0EZr+3037kl5gJJATi4uglZwE3OMhCIHyfgEwko4OMyMK7u1ub/Z+SQp2v\nEKHXRRYCy5fr0650dGgRhD09mubO+bUCmYPcbn2iSV7Ck4/jTphNSzExHt05jFqFWUZWGR5s2dUE\nuH2PiTlo9uzZWDTc+yYnJ2PhwoWoq6vDjh07UFJSAgAoKSnBtuHUgdu3b8fq1avhdruRnZ2NnJwc\nVFZWoqGhAe3t7SgqKgIArFmzZuQ3gZg1i+zmF11k/j1rAoF8AlaaQLDmoJtuoigeDgflTpKnovOI\nVBYCgcxBgLVj2NgBp6drKaythMC775r7BIxCQM51xEKAyyKXMVghwE5yqw5Sfink+9/bS2G/xvkL\nnMbBTPXl2cdWPgG+x2zaCabTkY81agJMoJh2udzy/bBjDgLMNQG7q8vZIVhNwMoxbHVuQPMJsI+G\nO1/ZZxMsshAA9Pfy/ffJUlBXR+/CqVP6uRR2zEFGzCLm+vu1oBQuEx8jl8sqVYT8WQ4RDZQ7qLmZ\n0nSMuU/gvffewxtvvIFLLrkEjY2NyBiO08zIyEDjcJxSfX09siS9LCsrC3V1dT77MzMzUSev3eiH\nz3yGHgCHaBqx6xOQ46+DjQ6SiYujSVS8pisLAV5bNS4OOHlS7xMYGjIXAsaRINu8Zcfw8uX638ye\nraU24N+fOaN34B47pjkracRFpiQWAnFxtC3PeGbHMKD5XLxer6lzuLUVuOIK/T7jZDF/AlYWAvL9\n5/LI9uMXXgB27NDfJ+N1Ob2IWXQQ+wRCEQKLFmm2fjMhUFWlTST0h5UmEGjGMO/XawLekcCESDBW\njmGey+J2U9uktcG9QQ/CmF/9Sp/J1Phc8vJIG+jpIUGQm+t7LGvegG/OMp5QysjmINYE+vtpf3e3\nF4C5ELAaRMn9gVUWUTNzUGwsvScPPDBGPgGmo6MDt9xyC376058iRR4mAnC5XHDZnVYaArfdRgux\nWEUC3HUXpV8OxSdgV5IaYWc15yRnITB9Om339el9AvL1ZeSXj9NMADSS4Q7529/Wd8J33kkjG9lZ\nWVur71hPn9bMQR0ddByvqctl8Xr1QkDWBGTHu5k56L339BlM+RzyPAF+4e2SlOQrBAYG6GWWc8ab\ntQMrTcAsUV2w5qCbbtL/Tv49+6kCYUcTMDMH8fWMmoBV/HsojIVPgM1B3M4SE0nbDVULAGiGsfx7\nWaC++SZ1+i4XtfXGRn2bNtMEjKHKnJiPMdME2BzEmpmVEDDzB8iD1UAholyWri7t3Lyuip3+K2zr\nYX9/P2655Rbccccd+NSnPgWARv8nTpzA7Nmz0dDQgFnDidszMzPxoeRRqa2tRVZWFjIzM1ErGdlq\na2uRyQu7Gli7di2yh2udmpqKRYsWwTOcF9c7HNxs3L7wQloLt6/Pi337yJYtfw94EB9P2/X1QE2N\nB/PmAV/7mnfYXuj//MbtKVM8aGoChoZoVDY46EFbG9DR4R3ODkq2Tq/XO5wczjPc8erP9+qrtP3F\nL+Atd+cAACAASURBVHpw5ZXA8897kZEBHDlCedbNrn/eecCvf+3BZZfRCCQ+Hjh+nK5XXu7Fnj3A\n7t2UP/+tt7w4cYLKQ6GtXuzeDXR3ezBzJkU1eL3AwAD9/t136Xrp6Z6R5yGEF4OD+vrPmkXbe/bQ\nSM7j8WBgAHj5ZS8+/JDOxzNCvV7f+yff77feom2KoqDvu7o8w/+92L8fuPFG7Xhq9Fw+Op7jzY8e\npW0ub2+vFy+/TOsJ0HW8w76k4J63x+MZ7rC9eOkl3/YV6Pd8Pb6/vP3mmzQj2+PxDHcyXrz2GnDD\nDWwr96KxESgooPtbXU2/l7PV2i2/1XZSkvY8Ax3//vveYXOQveMPHqTtlBQPGhqAvXtpe+pUz4gQ\n8Hq9YZWft/l+TZ0KVFV5cMMN9L0QQHu7B4mJwK9+5cU99wBuN/2+vt47vM6HZ3gQRefr76fveVt+\nf1tbgaEh+r6tzYvXX9e2h4boePYReL3eYdOo+fkAej8WLPBgaAhob6f2OTTkQV8fUFlJ9fF4PNi3\nDzh9mvo3wIOGBi/6+x/F3XcD8+dnwy8iDIaGhsQdd9whvvKVr+j233fffaKsrEwIIURpaanYuHGj\nEEKIqqoqceGFF4re3l5x7NgxMX/+fDE0NCSEEKKoqEjs379fDA0NiRUrVojnnnvO53qhFrejQwiX\nS4j4ePPvv/lNIfhyH3wgBMlQIXbvFuLqq4O/3he+IMSttwqxdCn9fvduIX7wAyG+9jXaN3++EL/8\nJR1bXU3Xuusu3/PU19N3Tz+t7Vu9mvadPBm4HJdfLkRBAR0/dSrt+/Wv6V6sXSvE228LkZ4uRFoa\nfTdtGtU/OVmItjb6LwSV7ZFHhNi3j8514IB2jRkzhGhs1F/3zTd9j4uNFaK/X4iqKiEWLhTiiSeE\n+MxnzMsN0PFCCFFWRttpadr1q6vpu+RkIc6c0f/205/Wnh//nTolxMc/TvUAhNiyhY6dOpXahhBC\nvPsufffkk4Hvqxmf+5xW5mCZOZOu/atf6cst37/Tp2lfVxdte720vWkTPZu77hLis5+lfTffHFo5\nwuWhh+j63/iGveMPHaLjH3iA3osTJ+heNDcLERMjREpK5MpWUkLXOucc+tuzh/ZnZgrx/e8LsWoV\nbc+YIcRFF9Hnhx8W4ktfos9FRdpzefxx2ic/q299i/Zdf70Q27fT53nzhHjvPe0YfhcfeEArV16e\nEOvW+bbZc86h/0IIUVsrxNy5QmRlCfHMM9oxPT2+9eR2cu219J4PDnJZrfvOsMxBL730Ev7whz9g\n7969WLx4MRYvXoyKigps2rQJu3btQl5eHvbs2YNNmzYBAAoKCrBq1SoUFBRgxYoVKC8vHzEVlZeX\n4+6770Zubi5ycnKw3GjsDgOeum1lCnrwQc22Lqvg4ZiDrHwCsbGUJ11WhbmMRuQoBeYTn6D/bJrx\nh9utOU3ZlJKURPciIYHMVXK+nJQUcirLTmjZIWXlEzCag9gRtmQJjUo56kM2B3V3+5/RyfdHnrHJ\ndTD6KmS2btXSfHOWTn+OYaNPINSJVvIEq2AxMwcZy8Kfjfnz3W5tZiv7BAwW2TGDyx/qZDHZJzA0\nRFpmpOBVxOQ0K1xWOeeT7EuTzUFm61PImEUHcX2mTaN6sInH6GQ28wlYmYMWLaKwVi67Ee6veE1j\nO5b4sMxBl19+OYYsAlx3G9eeG2bz5s3YLC+xNMySJUtwSE7SH0G4sdmxVco3NhTHMEANoqmJFnrh\nRdXPnKEsgxwdw2Vhe7bZPAE5goj5/Ocpo6i/DlSui8tFgoAXupEX6DBG+0ydShPJ2JfBeZD8+QS4\nU29rA/74RyqfHJ3y3nvkHOV4eT7en5NerrvsmDMKAfk+Mi6Xdk85l5LRMezPJxBqSKLbHXgtVyvk\nED8Z+XxGe7IcHcQC+8wZ4FvfAobHXGMO38tQ5wmcPk3tktcBCccnYISFAPuW5JDgjg69EDDzCdgV\nAmbRQb//Pf3x5DKjEJBXcuNzmzmGh4aobFdcQWlqzAaosk/AeC0ron7GcDDYuSGRFAIcEio7hmnb\nM3JeftjGpRIBcyHgctGi13bgyA55NjU3/tRU/aIofJ3GRq2zT02lSB8WAtwR8fEejzZP4PHHaR2E\n997T1+X4cX0opl1NgO+PmRCQY8rNOhzjGrkxMfrJYsboII/HM1KWcITAaGoC8fF6574cHcSd1Zkz\nwC23ePym3x5NQhUC7Bh+9VVK+MeTvaZO9USsbDxfldsu36O4OF9NwGyymNzxGyd/AebRQey8/eQn\nPZg92zpElI+X3wczIcCaq79V4vjcPT32rRhKCBiQG3BnZ3jRQWwO4pEym4PMIiiMuW7kstgZ9ZvB\nIZnyiFsWAvJEM4CExenTeiHQ0qKNuM86i1ZSMgtxY2ekcTnMUIWAURNwufSaAL8QZs90zhyKGONy\nsjlIThshL+INRDbfTrAYhYCdiWuyOYhDGc+c8V2oZiwJVxN45RXKYApoubMiBWsCLARkcxAv5Qro\nzUFyiGh/P63w98tfUkSiEX+aAH8fKERUHqxZhYjGxdkTAr29SgiYEqwmcOZM6JpAd7f1PIGBAa8t\nIWDmEwgG7pishAAjC5umJu16Rk3A7QZ+8Qvtd/I8AR79cz5/5oMPfIVAf799ISB35LImECi52OLF\nvkJANgfJv9eidEKfaMX3JxSM8wS4o/J3PtlUxCPWM2eAQ4e8oRUiAoSrCZw6pa1CRlltvREr26ZN\ntDogC0krTSA+3toc5HYD99yjhWrLyD6B3l46J88T8Hq9IyHZV15JC1PJ98BME7DyCcTFUdvOyzOv\np2wOshuZP6mEgB3kBtzaGpomwA1CnifAs3yt/BNmQoCvbWfWqRl2hYA8Z6GpSRuRpKVpQsCqQ+L6\ncQfLM7MZeSYoELxPoKyMpvMbfQL+ysQYhQCXi5eaNBPwoQqBSGoCdoRAXh453tk/xDPJx8sUBITv\nGJYFM8+2jxRf+hJNoJIzv3JZjT4BWRMwzpq3Qp64tXYtTdqU2xgvLPT887ROCBMXp7U5WRO45hpa\nYIrPKQuB9HSaEWyG0gQCYEcyyseEqglwg5B9At3dWu4gwONzXh5xmJUl3IgVeYQRSBNobrbWBIxw\n/PXgoNbBsjkoPR0oKaHP8u95xrBdn0BqKi3KbtQEzJzCRvglYMewbA6SX1COK+fyh0I4QsCoCRjX\nKbb6zWuvATffrDn0ExKApUs9oRUiAoSrCciCPTERmDbNM2pllFMtWPkEeH0OwP/kRrdbrwkA2iRM\nl0ub52E26JE1VPl9uOkmLb20UQj4Q/kEAsCS1S6traGbgwBNE5A7PTNN4LXXzBeYZnhkGCzBagJT\np5qbg/x1uFw/WRPo66Mwtiuv1NZWDdUnwISiCfCLbnQMO10TYCFg93yJiVpkzXhiDHYIBD9jXtBI\n9pVF2idgLCPjL0RUjqozEwLcycrLh8odrzG6yyorAA+gZE1APk9MjOaYDtSxK3OQH159lfLMBEO4\n5qD0dM1cohcCep8Aq/VmCKFvHMFgJgT4XHKHYfQJ8DHsGLYagXi9Xh9N4NQpbQ1jnjIfjmOYCUcT\nMPoEOHeR0Sfw2GPArbf6P6cV4ykE5Gcq+zfGmlCFALfR9nZ9W+ScO6NRRrkMViGivFLd3Lnm7wA/\nN/k3xmyjAD2Tm2+mNcqNyIMT+X0wCoG+PntCMRRz0CjIWmdilWXUH6FGW3CDkIVAV5fezjkaoxwj\nrI7KQkA2szDsZDI6hqdOpU49kE9A1gRuu41snpddRvehv1//AsmakR2fAGPUBH73OwRMlGYmBDh6\nwyxD5Zo1/s/nj0iagxi7Wig/r2jVBNhk2d6ut8eHMgCzW0bGqAnw4AXQOvmGBv1+htuSPMo3hn8y\nZ5+tT2jHyJqAPyHAcwQCwWXu6bHvH5o0QiAUurrMIwECEVgT8IybEAD08eatrdpIcupUvU/ArBOX\nkecJyM7g6mrA4zHXBGJi6I9TbVthNurq6qKOrqsL+P73A9ff6BPg5f78+QRCJZzoIH5xOVTQ33qz\nZnDnkJISmbqESrBCQHYksxCQNQE5R1Wky8j4mywmY7b0qKwJGH0CCQnaefw9E1lDtdL4rSYT+iOY\nNPhKCPhBzsoXDLIQ4JBIXtxdHhGPNiwE/HW28ugxMZE6bDmFQl+ff9OLbA7i9VQ5DbKVEImLoxc+\nFHNQerq5E90M41qu3d1UX38+gVCJhDmIOwO2Qwf7+9mzQ7t+pAhWCLhcFO7IQuDECb1jeDQGSvfe\nS4EGDDuG5XkCViNuY3sxMwdxf5GYaK89WJmD5IGa7MQOBuUTiABdXaF1FPwbTh3NaYFjYnhU7jtP\nYDTgjulznwM+/enAx3MjNGoC9fXmHYw8T6CnR7/YDDvYjJoAQPtefTV4IdDZSUJAXiDcH6x1ANoL\nmZDgKwQiYUePhBBgbSpYIcBkZkaXTwCgSX28kExHh14TaG/3RryMGRnA6tXattutzysmO4aNGDtV\n3v7Od4CFC+mzPK+ABYO/Z2LlGDZbWCnYPkNpAhEgVE1AXpc0NpYat7GDHQshkJFBjfHyy+kvENwI\nuYxuN3VIHR3Wo0zZHJSSQlEqgKYJsBAwE6bz51uXxXh8TAxpD7Nm2dcEzIRAYqLvZLFI4AQhwBOt\nxotQhAAjtzneHgttmduAlTmosZHeI3/J2uQBFq/JwSGigZDnrwTSBEbrfigh4IdQNQHZYWkuBMbG\nJ/Dv/x7c8bJDGKCX4Z13qLM2Uy09Hg/KyrTJYmaagJVP4cgRLcOpGWaaQFsbkJ+vJeIKhJkQmDrV\nd43jSNjRI+EYlmddhxIRdvnlwOLFntAKEQHCEQLG7KiJido6BqOJMTvrypX68s+aBfznf5qHl5u9\nE7I/h8/tr30FYw4Kti+ys+wroISAJWxDDkUIrFhBKiKf58wZX01gLEY5wcL5VORR2dtv04thhZw2\nQp7PIGsCxkRvgRbWBsyFwJkz9DIeO2avPjExvhPukpO1uQuRfAbnnANccEFov926lUacRUV0D+vr\ngw9IsHNPR5twhACPvuW5A2MxUDJqAmb99Xe/a/7bnTu1DpyR1+m2E80jCwE5gMPst8FaJewKAeUT\nsICn4odiDpoxg5Z9BOjFkJ2g9H9sfALBwp2Y7BMYGtIv3yjD8wS2b6fUDvIaB7JjuLwcOP/84Mpi\npQnMmmXfJ+By+dpTk5M1wRRJn8DHPw48+GBovy0spDQB06aRvfprX6NlQkMh2nwCjJzGAaA22NLi\njUi5/GHUBILhssu09T0YM03Ark+AO/533zUPJw12lV6zlNdmKCFgQW4uPZxwR4tsDjLa250oBHi+\ngLFR+ntBYmMpjTTgmwqXHcNVVeYTZax46ingJz/R74uJofvIPoEFCwJP/jMzByUnU/0i7RNQRFYT\nGC+fQLiYCQF/cBoVgHJ1uVzWvrJgB6RKCITBmTO0OAoQOSEwHj6BYImNpREpRzrIETVm8DwBFhpy\no29p0TQBeVFsO3z6076aA4+CZE0gUEiklRAwagLjGVsfaaJpnoAMtw9ZE5g71xORcvlD9hVFAjNz\nUCCfAJOUZL7oPDNa5iAHdkXjz7Rp5rm/Q4Fj4tnG62RNAAB27dI+29EEzGZIHjlCHXRTk5bDJNx8\n/XwdFgJJSfbyqBh9AikpFI8eaZ+AIrKO4SVLRmfGsBFuF/IM+nD48pfJxv+Tn9ibsWucP+MPfwIi\nnOOVJmCBcQZgqJhrAt6o6IACaQJer1dnkuHjc3Opsw1VEzCDO4SZM8kcZGf9Z38+ATlsdTzt6JEm\nWn0CRnPQokXAued6I1IufxjTd4dLaSnwox/RZx74+Xsm/M7ccgv5lfwRaobbQCghYEEkhUBXl3Y+\n7lCdqgnI8IvpL8fPb34D7NtHE9KMx8kzjiOlCcycSffTjhDwZw5qbY3c6E9BhJP63GgOGis4a2wk\nr8v3wU4uJ+4Hrr02sHnTrhBobQ1u0BUFXdH4YJYQKhR4xrC8WpFTfQJGAkVOyLbOSy+lNYZlOETU\n5YqMJpCYqGlUdrIk+nMMnzqlxX4rn0BkYBt0sFEsgK8mAIxNXXjRmNFAXovbimDSyNhNc86ZCuyi\nNAELIqUJxMXRyFUvBCaOJiBjtEHyZLFIaQIcgsorPgXqbPxpArIQUEQGu9EoZsgJBseSsRAC/rBa\nadCMYNa6CGbQpYSABZHSBNxuEgJy1EO0+QSsNAGjrdMoBFgTiLQQSEyklzdUx3BfH6W34PkPyicQ\nGcIRAmbPcizqYnfOSSiwELDjE4ikJgAEty552ELgrrvuQkZGBgoLC0f2NTc3o7i4GHl5eVi2bBla\nW1tHvistLUVubi7y8/Oxc+fOkf0HDhxAYWEhcnNzsWHDhnCLFTY8+g23s46Pp9mck0ETMIakxcZS\n3TmraDjIQsDuqNGfY1hpApEn0kJgLBhNTcBOVtdgzEF2Qz6B4NYlD/vW33nnnaioqNDtKysrQ3Fx\nMY4cOYKlS5eirKwMAFBdXY2tW7eiuroaFRUVWL9+PcTwfPd169Zhy5YtqKmpQU1Njc85x5pImYPk\nxSoAzScQTZqAv3kCMkZNgFM4Dw2FL/RcLk0I8L1TPgFfxrMuWVmh/9bsWY5FXUZLE3j7beC66+hz\nJHwCwQ6ixlQIXHHFFUhLS9Pt27FjB0pKSgAAJSUl2LZtGwBg+/btWL16NdxuN7Kzs5GTk4PKyko0\nNDSgvb0dRUVFAIA1a9aM/Ga8iJQ5yCgEIjX/YCywM09A5nvfA/76V/0+Oad/OMTEaAnq5BXDAv3G\nyicgm4MUkWHhwtBzGI3X+/D5zwN33x358553nr02b9cnEKw5dUyFgBmNjY3IyMgAAGRkZKCxsREA\nUF9fjyxpuJCVlYW6ujqf/ZmZmairqxuNotmGOz67S7RZwR2pvAbp3r3e8E46RtiZJyAzbx7wqU+N\nTllkc1A4QoB9Aq2tNE0fUD4BJzBePoE77gAeeWR0rxEJn8BoagKjbpl2uVxwhTsMlFi7di2ys7MB\nAKmpqVi0aNGIusU3OxLbc+YAn/ykFwsWAEDo53vnHfq92+3bGCJZ3tHY3rePthMSzL8/ePBgwPOR\niSj88sTEAB0dXni9QEwMff/SS14kJ1v/vqnJO5yhkUNyvTh0COjr86C1FTh82ItTpzDCeN/vSGwf\nPHjQUeWxu01CgJ5vMO0rGrYZs+9ragA2D/s7HwkL/f3xd3x3txfAo1i7FiP9pSUiAhw/flxccMEF\nI9vnnXeeaGhoEEIIUV9fL8477zwhhBClpaWitLR05Lhrr71W7N+/XzQ0NIj8/PyR/X/84x/FPffc\n43OdCBV3TNm9WwhAiO9/f7xLEjyDg1T2V18N/RyJiXSOcFm5Uoj16+lzXh6d88wZ/7+55RYh5s+n\nz2+8Qb9pahIiKUmIhAQhOjvDL5ciMnznO5FpJ9HG3/9O9X7uOf/HZWUFd3+WL9cf76/vHBVz0I03\n3ojHHnsMAPDYY4/hU8M2ghtvvBF/+tOf0NfXh+PHj6OmpgZFRUWYPXs2pk2bhsrKSggh8Pjjj4/8\nJtqJN5iDookYQ2RNKESq3jFh+gS4DklJFBEyOBhcGJ1idAn0LCcqHJwQaXPQmIaIrl69Gpdddhne\neecdzJs3D7/73e+wadMm7Nq1C3l5edizZw82bdoEACgoKMCqVatQUFCAFStWoLy8fMRUVF5ejrvv\nvhu5ubnIycnB8uXLwy2aIzA6hoHos9tavaB26hGpFL0xYfoEGH4O06Zpjrtoex7+iNa6mD3LaK2L\nEX/1YCEQaKAVrBAI5r0L2yfw5JNPmu7fvXu36f7Nmzdj8+bNPvuXLFmCQ4cOhVscx2EmBKKNcEZp\nkcrJEmqIKHf0HLXC2+E6/BWRZbJqAhyhFkgTmDOHwk7t4ijH8GSHO3+5M2RHTrRgiAAewU49ImkO\nClYTkCeLGecwyPnjo+15+CNa62L2LKO1Lkb81YM760CT1p5+Wr9WQSCUEHAQ0a4JyCmXQyFSmkBy\nsqY6h2IOmjVL/12kFhFRRIbJ/jxaWvx/n5ZmPRgzY0x9Agr/RLtPwJ8AsFOPSAm/X/8auOEG+swd\nezAJ5ObM0U9kkme3RtPzCES01uWLXwRefVW/L1rrYiRQPS64ALjwwsheU2kCDiKao4MiQaTqLTu6\nQkkbIbNyJfDDH0amXIrIEB8PXHTReJdifBgNV+i11wJ2ky64hmNIowKXy4UoKi4AsuNNnw78/e/A\nsmXjXZqx52MfA/bvDz2dgBmXXgpUVgY+5+c/D7z+OvDGG5G7tkIRjfjrO5U5aJThEexYr5jkFMaz\n3rJjWKFQmKNekVHGzBw0WWydwOiYwexmIbEyBxmZKM8DUHVxIk6vhxICo4zLRaPhyeoTiNRksVCw\nKwQUismMekXGgClT9EJgMsQ/M5ddNn7pGewKgYnyPABVFyfi9HooITAGTJkyeX0CmzdHfuEOu+Yg\nlyv8dQwUiomOEgJjQHz85PUJjEYnrHwC1qi6OA+n10MJgTHgnntospJibFE+AYUiMGqegCLq+PjH\ngZdfDjxP4N57aY6AwwdiCsWoo+YJKCYUwZiDlE9AofCPEgLjgNNthHZxej3sThZzej2CQdXFeTi9\nHkoIKCYsyiegUARG+QQUUccVVwAvvhjYJ7BpE/kE/v73sSmXQuFUlE9AMaGIdIioQjGZUa/IOOB0\nG6FdnF4Pu5PFnF6PYFB1cR5Or4cSAooJi9IEFIrAKJ+AIuq46irgn/8M7BO4/37yCezYMTblUiic\nivIJKCYlShNQKAKjXpFxwOk2QruMVz1U7iBrVF2ch9Pr4SghUFFRgfz8fOTm5uKhhx4a7+IoHIrK\nIqpQRA7H+AQGBwdx3nnnYffu3cjMzMTFF1+MJ598EgsXLhw5RvkEFABw9dWUDyhQU/iv/yKfwJ//\nPCbFUigcS1T4BF555RXk5OQgOzsbbrcbn/nMZ7B9+/bxLpYiilE+AYUiMI55Rerq6jBv3ryR7ays\nLNTV1Y1jiUYPp9sI7eL0eiifQHQzUeri9HrEjXcBGJdN4+3atWuRnZ0NAEhNTcWiRYtGlm/jm+30\nbcYp5Ql1++DBg+NyfZfL3vHHjnlx8iQA+D+eGe/7GYntgwcPOqo84WyPV/uaCO+71+vFo48+CgAj\n/aUVjvEJ7N+/Hw888AAqKioAAKWlpYiJicHGjRtHjlE+AQUAfOITwN69gX0C//3f5BP4wx/GplwK\nhVOJCp/ARRddhJqaGrz33nvo6+vD1q1bceONN453sRQOROUOUigih2Nekbi4OPzsZz/Dtddei4KC\nAtx22226yKCJhFFNjFbGqx5qnoA1qi7Ow+n1cIxPAABWrFiBFStWjHcxFBMEpQkoFIFxjE/ADson\noACAa64B/vGPwD6Bn/2MfAJbtoxNuRQKpxIVPgGFItIoTUChCIx6RcYBp9sI7eJ0n0B8PP0FYqI8\nD0DVxYk4vR6O8gkoFJHk9tuBm24a71IoFM5G+QQUUceyZcCuXYF9AgqFglA+AcWEQmUGVSgihxIC\n44DTbYR2UfVwHqouzsPp9VBCQKFQKCYxyiegiDquvRbYuVP5BBQKuyifgGJCoXwCCkXkUEJgHHC6\njdAuqh7OQ9XFeTi9HkoIKKIOpQkoFJFD+QQUUcd11wHPPad8AgqFXZRPQKFQKBSmKCEwDjjdRmgX\nVQ/noeriPJxeDyUEFAqFYhKjfAKKqGPlSuDZZ5VPQKGwi/IJKBQKhcIUJQTGAafbCO3i9PUE7DJR\nngeg6uJEnF4PJQQUUYeaJ6BQRA7lE1BEHbt3U+6g739/vEuiUEQH/vpOJQQUCoVigjMqjuE///nP\nOP/88xEbG4vXX39d911paSlyc3ORn5+PnTt3juw/cOAACgsLkZubiw0bNozs7+3txW233Ybc3Fxc\neumleP/990MtVlTgdBuhXVQ9nIeqi/Nwej1CFgKFhYX461//iiuvvFK3v7q6Glu3bkV1dTUqKiqw\nfv36EQm0bt06bNmyBTU1NaipqUFFRQUAYMuWLTjrrLNQU1ODe++9Fxs3bgyjSs7n4MGD412EiKDq\n4TxUXZyH0+sRshDIz89HXl6ez/7t27dj9erVcLvdyM7ORk5ODiorK9HQ0ID29nYUFRUBANasWYNt\n27YBAHbs2IGSkhIAwC233IJ//OMfoRYrKmhtbR3vIkQEVQ/noeriPJxej4hHB9XX1yMrK2tkOysr\nC3V1dT77MzMzUVdXBwCoq6vDvHnzAABxcXGYPn06mpubI100AOGrZpFQ7d57772wzwGEVxan1CMS\n5Qj3HE54HpE6x0R5JoAz6uKEeoy2OcmvECguLkZhYaHP3//93/+NaqFGEyc0ikiph+MtBCJRDyd0\nOE54HpE6x0R5JoAz6uKEeoy6T0GEicfjEQcOHBjZLi0tFaWlpSPb1157rdi/f79oaGgQ+fn5I/v/\n+Mc/in/7t38bOWbfvn1CCCH6+/vFjBkzTK+1YMECAUD9qT/1p/7UXxB/CxYssOzD4xABhBR6dOON\nN+L222/HV7/6VdTV1aGmpgZFRUX/v737j4m6/gM4/rw7GsK4BhZgrRH0A+XE485b6MpYRMgtEdOb\nNHVaDufQIbNJW83aanPlmouoixVrbcgM1FPU2py6IRabGJpQYOtEOTUl01kiHgEe1x/kLb5+TyGO\nu/vcvR7/8bnP58Prc29evD4/3u/3B5VKxf3338+xY8fIzMykpqaG0tJSzzbV1dXMnj0bm81GTk7O\n//09nZ2dvghXCCHEP/5zEaivr6e0tJSrV68yb948jEYj+/fvR6fTUVhYiE6nIyIigsrKSlT/DPGs\nrKzk1Vdfpa+vjxdffBGz2QxAUVERy5cv58knn+SBBx6grq7ON0cnhBDirhQ1WEwIIYRvydxBEywm\nJibQIYzbnj17UKvV/PLLL4EOxWfu1S7PPfccJ06c8FM0Y/Prr7+yYMECUlNTeeKJJ1i/fj2Dl4ew\newAACMJJREFUg4Ne1//oo4/o6+vzY4Rjp/Q8UXKOSBGYYKoQmO2straW/Px8amtrx7Td0NDQBEU0\nfvdqF5VKFZRt53a7WbRoEYsWLcJut2O32+nt7WXjxo1et6moqMDpdPoxyrELxu96LJScI1IE/ODm\nzZu88MILmEwm9Ho9+/btA4b7D6elpbF69WrS09PJy8vjr7/+CnC0I/X29nLs2DGsVivbt28Hhrus\nZWVlkZ+fz7Rp01izZo2nc0BMTAxlZWUYDAaam5sDGfo9HTlyhPnz53t+Likpobq6OoAR3VtDQwNR\nUVGewZVqtZry8nK+/PJLnE4nZWVlzJgxg4yMDKxWK5988gmXLl0iOzvba4eLYKHUPFF6jkgR8IOo\nqCjq6+s5ceIEDQ0NbNiwwfNZZ2cnJSUltLe3Exsby65duwIY6Z327t2L2WwmKSmJ+Ph4zzxRLS0t\nWK1WTp06xZkzZ9i9ezcATqeT2bNn09raytNPPx3I0McsWM/+/62jowOTyTRimVarJSkpiS+++IJz\n587R1tZGW1sby5YtY926dTz88MM0NjYG/Uh8peaJ0nNEioAfDA0N8eabb5KRkUFubi6XLl3i999/\nByAlJQW9Xg+AyWTy2ehVX6mtrWXx4sUALF68mNraWlQqFZmZmSQnJ6NWq1myZAlNTU0AaDQaLBZL\nIEMOad6KlNvtprGxkeLiYtTq4bSOi4vzZ2jjptQ8UXqO+GScgLi7bdu2cfXqVX744Qc0Gg0pKSme\ny9nIyEjPehqNJqge4F27do3Dhw/T3t6OSqXC5XKhUqmYN2/eiH9Gbrfb849n0qRJQX82fVtERMSI\ne7LB9N17o9PpsNlsI5b19PRw4cIFHnvsMUVPta7EPAmFHJErAT+4fv06CQkJaDQaDh8+rJipsm02\nGytWrMDhcNDV1cX58+dJSUnh22+/5fvvv8fhcDA0NMT27duZM2dOoMMds0cffZRTp04xMDDAn3/+\nSUNDQ6BDuqecnBycTic1NTUAuFwuNmzYwMqVK5k7dy6ff/45LpcLgD/++AMYvl3U09MTsJhHS4l5\nEgo5IkVgAt26dYvIyEiWLVvG8ePH0ev11NTUkJaW5lnnf88IgukMoa6ujoULF45YZrFYqKur46mn\nnqKkpASdTsfjjz/uWS+Y4vfmdrs88sgjFBYWkp6ezssvv8zMmTMDHdq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"text": [ "" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we're getting somewhere! What we're seeing here is the number of bicycle crossings per day, corrected for the daily and annual trends. In other words, this is what we might expect the data to look like if the day of the week and the hours of light per day did not matter.\n", "\n", "Let's continue on this line of reasoning, and add some more information to the model." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Accounting for Temperature and Precipitation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we'll account for the NCDC climate data that was described above. The data includes the daily maximum and minimum temperatures, as well as the amount of recorded rainfall at SeaTac airport, about 15 miles to the south. Let's take a look at this data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Read the weather file\n", "weather = pd.read_csv('SeaTacWeather.csv', index_col='DATE', parse_dates=True, usecols=[2, 3, 6, 7])\n", "\n", "# temperatures are in 1/10 deg C; convert to F\n", "weather['TMIN'] = 0.18 * weather['TMIN'] + 32\n", "weather['TMAX'] = 0.18 * weather['TMAX'] + 32\n", "\n", "# precip is in 1/10 mm; convert to inches\n", "weather['PRCP'] /= 254\n", "\n", "weather['TMIN'].resample('w', 'min').plot()\n", "weather['TMAX'].resample('w', 'max').plot()\n", "plt.ylabel('Weekly Temperature Extremes (F)');\n", "plt.title(\"Temperature Extremes in Seattle\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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5YcCAAdiyZQsAgM1mIzg4GL1790ZISAgqKirUIVqnobJdgtSANuqSV5WH2QNmo4hThLsF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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This shows the maximum and minimum temperatures in Seattle. They vary in ways you might expect. For example, you can easily see the late 2013 freeze that killed my artichoke plants last year.\n", "\n", "Now let's look at precipitation:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "weather['PRCP'].resample('w', 'sum').plot();\n", "plt.ylabel('Weekly precipitation (in)')\n", "plt.title(\"Precipitation in Seattle\");" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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pTa8XTU3s5WgV8be5OPB4gJYW9mwrafC1+kxeorbPqlWr8M477+D48eM+vn9N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\njhw5ggULFgAA8vLykJeXBwCYM2cOvv/+exQWFqKgoABXXHG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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The precipitation is also as you might expect. Almost none in the summer months, and up to about 4 inches per week in the rainiest parts of the year. \n", "\n", "What we do next will start to look very familiar: we'll add the climate information to our original daily dataset, and then use a linear model to de-trend the data with this new information." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# join the weather data to our daily data\n", "daily = daily.join(weather)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "columns = days + ['daylight', 'TMIN', 'TMAX', 'PRCP']\n", "\n", "X = daily[columns]\n", "y = daily['total']\n", "clf = LinearRegression().fit(X, y)\n", "daily['overall_trend'] = clf.predict(X)\n", "\n", "# Plot the overall trend\n", "daily[['total', 'overall_trend']].plot()\n", "plt.ylabel('Daily bicycle traffic');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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tx0svyeoLQpWDVlU0HGHnBdFdF+zYNupG1/Hsx7v2TRbWNddcA8BJJ520Z3sM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\nnN9gH2vUy/kczOPff+73bH9mOxue3lAX5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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This shows the data along with the overall trend, accounting for precipitation and temperature extremes. Let's de-trend the data with this model and see what's left over:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "daily['overall_corrected'] = daily['total'] - daily['overall_trend'] + daily['overall_trend'].mean()\n", "print(\"rms = {0:.0f}\".format(np.std(daily['overall_corrected'])))\n", "daily['overall_corrected'].plot()\n", "plt.ylabel('corrected daily bicycle traffic');" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "rms = 520\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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WrVtRWVmJ2tpaTJ06FQAwf/58zzN9FS5fwVV6ESJdjtdeA/7yl4i+AkDfaQ+g75Slv5dD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\nDvz2txFJ2hJ2CCK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Xa6nRg4nBg+uMM4B//tP82dtvp5WtHdhVMcmTttw+/LxVuHlSQVGc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\nnoMMLQnRNpmDEIZitUJoaNsJoGm9hPy5iEedzEGIR4b0IIRQjyQIHdL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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the reduced RMS, we can see that our model does a fairly good job capturing the trends. But there's still some daily variation that it cannot account for. We could think about what this might be, and try to capture it with more inputs to the model. For example, a person's choice to ride might be affected not just by the weather today, but by the weather yesterday. We also could account for freezing temperatures, which may manifest as a nonlinear effect.\n", "\n", "In order to better see the remaining trend, let's plot a month-long moving-window average over the corrected data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "pd.stats.moments.rolling_mean(daily['overall_corrected'], 30).plot()\n", "plt.ylabel('Corrected daily bicycle traffic')\n", "plt.title('1-month Moving Window Average');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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d3eHh4YG4uDhkZ2ejsLAQQUFBAIDp06fLJttwOA0NEWHp0qVwdHRE79690aNHD3zyyScN\nLVaT448//oBYLIZYLMatW7ewY8eOhhbJLDBqFpNEIkHv3r1x69YtzJ49Gz4+Pti7dy/c3NzQs2dP\nuX2zsrLQv39/2bKbmxsyMzNhaWkpl8ImFovl0ik5nIakdevW3J8tADZu3IiNGzc2tBhmh1ENhIWF\nBS5evIiHDx9i5MiROHDgACIjI+XS20iPDBYOh8PhGA+TzINo06YNxowZg/PnzyM1NRX+/v4AgIyM\nDAQGBiIuLg5isVguhzwjIwNubm4Qi8XIyMiQW68o314sFiMrK8v4ynA4HI4Z0bVrV7k5RHIYK/qd\nm5tL+fn5RMSmvg8ePJiOHj0qt4+7u7ssiykhIYH8/f2pvLycUlJSqEuXLiSRSIiIKCgoiGJjY0ki\nkVBYWBhFR0fXu54hVPnoo48a9HgioiFDhuh9DiL9ZBGKHoaQQ99zCOF+GOoc5nJPiIShixD0MIQM\nqp6dRhtBZGdnY8aMGZBIJJBIJJg2bZpsSr6UuvnskydPlk2Dj4qKkm2PiopCREQESktLMXr0aIwa\nNcooMgcHBzfo8QDL/jIE+sgiFD0MIYe+5xDC/TDUOczlngDC0EUIehhCBpXobX4Egrmooq5IWWOB\n6yE8uC7CQwh6qHp28pnUAiMiIqKhRTAIXA/hwXURHkLXQ/TYgjR6RCIRz4jicDgcLVH17OQjCIER\nExPT0CIYBK6H8OC6CA+h68ENBIfD4XAUwl1MHA6H04ThLiYOh8PhaA03EAJD6D5JTeF6CA+ui/AQ\nuh7cQHA4HA5HITwGweFwOE0YHoPgcDgcjtZwAyEwhO6T1BSuh/DguggPoevBDQSHw+FwFMJjEBwO\nh9OE4TEIDofD4WgNNxACQ+g+SU3heggProvwELoe3EBwOBwORyE8BsHhcDhNGB6D4HA4HI7WcAMh\nMITuk9QUrofw4LoID6HrwQ0Eh8PhcBTCYxAcDofThOExCA6Hw+FoDTcQAkPoPklN4XoID66L8BC6\nHkYzEGVlZejXrx8CAgLg4+ODxYsXAwAWLlwIb29v+Pv7Y+LEiXj48KHsmMjISHh6esLLywuHDx+W\nrY+Pj4efnx88PT0xf/58Y4nM4XA4ZsvOncCGDdodY9QYRElJCaysrFBVVYVBgwbhyy+/RGlpKYYO\nHQoLCwu8++67AIDly5cjMTERU6dOxb///ovMzEwMGzYMycnJEIlECAoKwrfffougoCCMHj0a8+bN\nw6hRo+QV4TEIDofDUYqlJVBVBdR9TDZYDMLKygoAUFFRgerqajg6OmL48OGwsGCX7devHzIyMgAA\ne/fuRXh4OCwtLeHu7g4PDw/ExcUhOzsbhYWFCAoKAgBMnz4de/bsMabYHA6HY3ZUVQGtW2t3jFEN\nhEQiQUBAAFxcXBASEgIfHx+57Zs3b8bo0aMBAFlZWXBzc5Ntc3NzQ2ZmZr31YrEYmZmZxhS7QRG6\nT1JTuB7Cg+siPEytR9u22u1vVANhYWGBixcvIiMjAydPnpT7MD777DO0aNECU6dONaYIHA6H0+SR\nepC0NRDNDS9Kfdq0aYMxY8bg3LlzCA4OxpYtW3DgwAEcO3ZMto9YLMadO3dkyxkZGXBzc4NYLJa5\noaTrxWKxwutERETA3d0dAGBvb4+AgAAEBwcDqLHUfNk0y9J1QpGHL7NlKUKRh3+/TLN84ABbbt48\nGDExMdiyZQsAyJ6XSiEjkZubS/n5+UREVFJSQoMHD6ajR49SdHQ0+fj4UG5urtz+CQkJ5O/vT+Xl\n5ZSSkkJdunQhiURCRERBQUEUGxtLEomEwsLCKDo6ut71jKgKh8PhNGqSkogAom7d6m9T9ew0mosp\nOzsboaGhCAgIQL9+/TBu3DgMHToUc+fORVFREYYPH45evXphzpw5AAAfHx9MnjwZPj4+CAsLQ1RU\nFEQiEQAgKioKM2fOhKenJzw8POplMJkTdd/0GitcD+HBdREeptIjJwfo3Bl49Ei744zmYvLz88P5\n8+frrU9OTlZ6zJIlS7BkyZJ66wMDA3HlyhWDysfhcDhNhZwcoFs34ORJoLwcaNlSs+N4LSYOh8Mx\nc9asAZKSgKgo4IkngNzcmm28FhOHw+E0YXJygHbt2N/372t+HDcQAoP7VoWFuegBcF2EiKn0ePCA\njRzCw4EePTQ/Tq2B+Pvvv/GoVmTj0aNHiIuL00lIDofD4Ziehw8Be3tg6VKgrEzz49TGIAICAnD+\n/HlZeYzq6mr06dMHFy5c0Edeg8NjEBwOh6OYUaOA+fOBvn2B7t3ZiEKK3jEIqXEAgGbNmqG6ulo/\naTkcDodjMqQjCHt7oKAAkEg0O06tgejcuTPWrFmDyspKVFRU4Ouvv0aXLl30lZejBO5bFRbmogfA\ndREiptKjoABo0wZo3hywttZ8PoRaA7Fu3TqcOXMGYrEYbm5uiI2NxQZti4pzOBwOp8EoKGCjBwBw\ncADy8zU7js+D4HA4HDPHyorNfbC2BgICgM2bgd692TZVz06lM6lXrFiBRYsWYe7cufW2iUQirFmz\nxjCSczgcDsdoVFQAlZXMSACAoyOQl6fZsUpdTNLeDYGBgejTp4/sJzAwEIGBgXoLzVEM960KC3PR\nA+C6CBFT6CENUD8ubaeVi0npCGLXrl0YN24cCgoK8OabbxpCTg6Hw+GYmNxc+T4QDg5ATAwwciRg\nZ6f6WKUxCB8fHxw9ehSjRo1SaOUcHR31ENnw8BgEh8Ph1OfYMWDZMuDECba8cCHw5ZfAokXA8uU6\nxiBef/11DB06FCkpKfVcSiKRCCkpKYbTgMPhcDhGITsbaN++Zln6bq9Jf2qlMYixY8fi2rVrePnl\nl5Gamir3w42D8eC+VWFhLnoAXBchYmw9iICrV2sK9QFsPgTAajOpQ6mBeO655wAASUlJegnI4XA4\nnIZh505gxQrAyalmXUUF+63JbGqlLqbq6mp89tlnuHHjBlatWiXnoxKJRFiwYIHOQnOUU7vnbmOG\n6yE8uC7Cw9h6PG49DWvrmnUtWrDfpaXqj1dqIHbs2IE9e/aguroahYWFsvVEJGsFyuFwOBzhcvcu\ncOYM0L9/zbpXX2Xr9DIQXl5eePfdd9GzZ0+MHj3aELJyNCAmJsYs3o64HsKD6yI8jK1HSQlLca1V\nbxWWloCvL5sfoQ61PalHjx6NP//8E4mJiSgtLZWNHj788EOdheZwOByO8SkpkXcvSWndmmU3qUNt\nLaZZs2ahtLQUx48fx6uvvopffvkF/fr1w6ZNm3SV2SjweRAcDocjj6MjcPNmTWqrlPXrgXPngI0b\n9ewHcfbsWWzduhWOjo746KOPEBsbyzObOBwOpxFQUlJTg6k2rVtrFoNQayBaP55NYWVlhczMTDRv\n3hw5OTlaC8rRDJ7fLSzMRQ+A6yJEjKlHdTVLaW3Zsv42KysDGYhx48YhPz8fCxcuRGBgINzd3REe\nHq72xGVlZejXrx8CAgLg4+ODxYsXAwDy8vIwfPhwdOvWDSNGjEBBQYHsmMjISHh6esLLywuHDx+W\nrY+Pj4efnx88PT0xf/589VpxOBxOE0c6elCUdKrpCAKkgurqajp9+rRsubS0lPLz81UdIkdxcTER\nEVVWVlK/fv3o1KlTtHDhQlqxYgURES1fvpwWLVpEREQJCQnk7+9PFRUVlJqaSl27diWJREJERH37\n9qW4uDgiIgoLC6Po6Oh611KjCofD4TQpcnKInJ0Vbzt2jCg4mP2t6tmpcgRhYWGBN954Q7bcqlUr\n2EvbEmmA1WPnV0VFBaqrq+Hg4IA//vgDM2bMAADMmDEDe/bsAQDs3bsX4eHhsLS0hLu7Ozw8PBAX\nF4fs7GwUFhYiKCgIADB9+nTZMRwOh8NRjLL4A2DAGMSwYcPw66+/6pQhJJFIEBAQABcXF4SEhKBH\njx64e/cuXFxcAAAuLi64e/cuACArKwtubm6yY93c3JCZmVlvvVgsRmZmptayNBa4b1VYmIseANdF\niBhTj+JiExiIdevWYfLkyWjRogVsbW1ha2sLO3VFxKUnt7DAxYsXkZGRgZMnT+KEtN7sY0QiEZ+V\nzeFwOEZA1QjCyoptV4faiXJFRUXaylWPNm3aYMyYMYiPj4eLiwtycnLg6uqK7OxsODs7A2Ajgzt3\n7siOycjIgJubG8RiMTIyMuTWi8VihdeJiIiAu7s7AMDe3h4BAQGyWYpSS82XTbMsXScUefgyW5Yi\nFHn498t4yxcvAlZW9bfHxMTgu++24M4dYOlSd6hEXaAjNDRUo3V1yc3NlQW0S0pKaPDgwXT06FFa\nuHAhLV++nIiIIiMj6wWpy8vLKSUlhbp06SILUgcFBVFsbCxJJBIepOZwOBwN2L+faNQoxdvKy4ma\nNyeSSHQMUpeWluLBgwfIzc1FXl6e7CctLU2jGEB2djZCQ0MREBCAfv36Ydy4cRg6dCjeffddHDly\nBN26dcPx48fx7rvvAmAd7CZPngwfHx+EhYUhKipK5n6KiorCzJkz4enpCQ8PD4waNUrt9Rsrdd/0\nGitcD+HBdREextTj0SPAxkbxthYt2PyIWnVYFaLUxbR+/Xp8/fXXyMrKkusoZ2tri//85z9qhfPz\n88P58+frrXd0dMTRo0cVHrNkyRIsWbKk3vrAwEBcuXJF7TU5HA6Hw8jOlm8UVBcbG2DAANXnUFuL\nac2aNZg3b54u8pkUXouJw+Fwali4kHWNW7RI8fbWrYGyMgDQoxZTYzAOHA6Hw5EnM1O+F3VdmHFQ\njVoDwTEt3LcqLMxFD4DrIkSMqUdWFqAk4VNjuIHgcDgcMyQrS/UIok0b9edQG4OQSCTYtm0bUlNT\n8eGHHyI9PR05OTmy0hdCgccgOBwOh0HEgtA5OYCtreJ9Hj0CZs0CduzQIwYxZ84c/P3339i+fTsA\nwMbGBnPmzNFdcg6Hw+EYlUePWJtRZcYBAOzsgI4dVZ9HrYGIi4tDVFSUrC+Eo6MjKisrtRKWoznc\ntyoszEUPgOsiRIylR2amZvEHdVPK1BqIFi1aoLq6Wracm5sLCwseuuBwOByhoi7+ICUkRPV2tTGI\nn3/+Gbt27UJ8fDxmzJiBX3/9FcuWLcPkyZO1kdfo8BgEh8PhMLZuBY4cAX76Sf2+qp6daov1vfji\niwgMDMSxY8cAsL4N3t7e2knL4XA4HJNx9y7wuKuCXij1FdWuv+Ti4oLw8HCEh4fDxcUFeXl5+l+Z\noxDuWxUW5qIHwHURIsbSIy8PaNtW//MoHUH07t1bZa+G1NRU/a/O4XA4HIOTlwc87nygF2pjEI0F\nHoPgcDgcxnPPAZMns9/qUPXsVJuO9Pvvv6OgoEC2XFBQwHtCczgcjsC4exdYsID9/eAB4Oio/znV\nGoilS5fC3t5etmxvb4+lS5fqf2WOQrhvVViYix4A10WIGFKPU6eA1atZK9G8PBMZCEVDj9rzIjgc\nDofT8OTns9+nThnOQKiNQbz00ktwcHDAG2+8ASLC2rVrkZ+fjy1btuh/dQPCYxAcDqcp8+GHwKef\nAmvWAIsXs4ZBqkptSNErBvHNN9/A0tISU6ZMwfPPP49WrVph7dq1WgvP4XA4HOORng507Qpcv86W\nlbUb1Qa1BiI1NRUrVqzAuXPncO7cOURGRsLa2lr/K3MUwn2rwsJc9AC4LkLEkHqkpwP9+gGxsUCn\nToCKWQoao9ZAzJ49G3379kVUVBQePnyo/xU5HA6HY3CkBuL8ecPMgQA0nAdx48YNbN68Gb/88guC\ngoLw0ksvYcSIEYaRwEDwGASHw2mqSCSAlRUQEwM8+SQwZw6gaSRA1bNT44lyVVVV2LNnD+bNm4c2\nbdpAIpHg888/x6RJkzTVwahwA8HhcJoqd+8Cfn5AcjJgbw/88AMQEaHZsXoFqS9duoS33noL3t7e\nOH78OP78809cu3YNJ06cwFtvvaWNDhwN4L5VYWEuegBcFyFiKD3S04EOHVgbUSLNjYM61BqIefPm\noVevXrh06RKioqLQu3dvAED79u2xbNkypcfduXMHISEh6NGjB3x9fbFmzRoAwD///IOgoCD06tUL\nffv2xb///is7JjIyEp6envDy8sLhw4dl6+Pj4+Hn5wdPT0/Mnz9fZ2U5HA7HHElPV98dTidIDYWF\nhVRVVSUb4mWLAAAgAElEQVRbrqqqoqKiInWHUXZ2Nl24cEF2jm7dulFiYiINGTKEDh48SEREBw4c\noODgYCIiSkhIIH9/f6qoqKDU1FTq2rUrSSQSIiLq27cvxcXFERFRWFgYRUdH17ueBqpwOByOWbJq\nFdG8ebodq+rZqXYEMWzYMJSWlsqWS0pKMHz4cLWGx9XVFQEBAQBYH2tvb29kZmaiXbt2smyogoIC\niB/3xdu7dy/Cw8NhaWkJd3d3eHh4IC4uDtnZ2SgsLERQUBAAYPr06bwWFIfD4dTizh3jjCDUGoiy\nsjLY1JpxYWtri5KSEq0ukpaWhgsXLqB///5Yvnw53n77bXTs2BELFy5EZGQkACArKwtubm6yY9zc\n3JCZmVlvvVgsRmZmplbXb0xw36qwMBc9AK6LENFXDyJg4EDg2jUWgzA0ag2EtbU14uPjZcvnzp1D\n69atNb5AUVERnn32WXz99dewsbHBK6+8gjVr1iA9PR2rV6/Gyy+/rJvkHA6H08TJyQHOngUOHzbO\nCEJty9GvvvoKkydPRrt27QAA2dnZ2Llzp0Ynr6ysxKRJk/Diiy9i/PjxAFiQ+ujRowCAZ599FjNn\nzgTARgZ37tyRHZuRkQE3NzeIxWJkZGTIrZe6peoSEREB98czROzt7REQEIDg4GAANZaaL5tmWbpO\nKPLwZbYsRSjy8O+XfsvNmrFliSQG9+8DgPrjY2JiZLX03NXNqNMkiFFeXk6XL1+mK1euUEVFhUaB\nD4lEQtOmTaM333xTbn2vXr0oJiaGiIiOHj1Kffr0IaKaIHV5eTmlpKRQly5dZEHqoKAgio2NJYlE\nwoPUHI5AqKwkqq5uaCmaNps2ETFHk+7nUPXsVOpiOnbsGABg9+7d+PPPP3Hjxg0kJSVh3759+O23\n31RbHQBnzpzBzz//jBMnTqBXr17o1asXoqOjsWHDBrzzzjsICAjA+++/jw0bNgAAfHx8MHnyZPj4\n+CAsLAxRUVGylqdRUVGYOXMmPD094eHhgVGjRqm9fmOl7pteY4XrITwMrcvAgUC7dkBFBVvOzjbo\n6VViLvdFXz1SUoCpU4Hjxw0jT12UuphOnjyJoUOHYt++fQp7U0+cOFHliQcNGgSJRKJwW1xcnML1\nS5YswZIlS+qtDwwMxJUrV1Rej8PhmI7iYuDqVWDQIGDYMGDZMmDIEODCBeBx8iLHBGRmAqGhQEiI\ncc7Pe1JzOByt+f13YOVK4K+/gGeeAfbvZ+vXrAHmzm1Y2ZoSI0cCb74JhIXpfg69Sm3cv38fc+fO\nRa9evdC7d2/Mnz8fDx480F0aDofTqCECFi0C3nsPaNYM+Phjtv6DD5iro1074NtvG1bGpkJWFtC+\nvfHOr9ZAPP/883B2dsZvv/2GX3/9FU5OTpgyZYrxJGricN+qsDAXPQDD6RIXB1hYANJQYGAgcy0t\nWACcOMFSL2NjDXIppZjLfdFXjwY3EDk5Ofjggw/QuXNndOnSBe+//z7u3r1rPIk4HI4gqagAPvqI\njRLGjpVvSBMQwKqIjh3Llg3RrIajmrIyoLAQaNvWeNdQG4NYsGAB+vbtKxs1/PLLL/jnn3+wcuVK\n40mlAzwGweEYj+3bgRYtgOeeA4YPB6ZPB158sf5+p08DQ4cCffuyvznG4/JlYMoUNotaH3TqB2Fj\nYyPLXiouLoaFBRtsSCQSWFtbo7CwUD+pDAw3EByO8ag7Irh0CejZU/G+9+4B3bsz94cWRRc4WrJt\nG7B3L7Brl37n0SlIXVRUhMLCQhQWFkIikaCqqgpVVVWQSCSCMw7mBPetCgtz0QPQXZe8vPrrvLyU\n7+/szFpfbt+u0+U0wlzuiz56XLnCmgQZE7UxCA6H07Q5eRIIDmaB58uXWc/jFi1UH/PJJ8CSJcxH\nzjEOp04xQ2xM+DwIDoejECLW23jdOmDjRuBx2TSNefZZNolrzhzjyNeUyc8HOnVi7rxWrfQ7l17z\nIDgcTtPk1CmWsbR9O/DCC9ofP3Ys8PffhpfL0NSqEdpoSEsDunTR3zioQ62BWLBgARISEowrBUcG\n960KC3PRA9BelwMHWJ2f8HDdgs2enkBysvbHaYK+9yU3l7nAzp5lZbK1bHFjMHTVo7gYsLY2rCyK\nUGsgvL298dprryEoKAjr1q2TdYPjcDjmza1bQLduuh/v4QHcvGk4eQzJ4cNAZCQrOAgA1683rDza\nIhgD8eqrr+LMmTPYunUr0tLS4Ofnh6lTp+LEiRPGl64JUrvefWOG6yE8tNXl1i2ga1fdr+fsDFRW\n4nGfAsOi7325eBH4/POa5YZykuiqR0kJYGVlWFkUoVEMorq6GtevX8e1a9fg5OQEf39/rFq1ipfc\n4HDMFCL9DYRIBAwebLxS1Ppw8SLg78+CvO++23AGQlcEM4J466230L17dxw4cADvvfce4uPjsWjR\nIuzbtw8XL140voRNDHPxeXM9hIc2ukjnPjg66nfNsDAWyzA0hqhh1LEj4OQEBAU1nIFo9DGInj17\n4tKlS9iwYQOCgoLktinr68DhcBo30tGDvjWVwsLYTF+hvaHn5wMODuzvHj1Yb4vGhKkMhNJ5EPHx\n8bL82NoNg6TLvXv3Nr50WsDnQXA4hmPHDmD3buCXX/Q/l/TxIaR/z9atgQcPmB+/uhqwtWXd2Vxd\nG1oyzfj0U6C8nDVq0hdVz06lHeXefvtthZ3kpPAgNYdjvugbf6jNjRussY1QKCtjRkGautusGWu6\nM2cOoEE3ZUFQXAy0aWP86yg1EObke21MxMTEmEXmDNdDeGijS0ICq9pqCFxcWDDYkOhzX6Tupdrv\nvx98AHTuzOZteHoaRkZN0FWP4mLWmMnYKDUQx48fR2hoKHbv3q1TT2oOh9N4OXOG9X4wBLa2LN21\ntFQY1V1rxx+ktG4NjBgBxMSY1kDoSkmJaWIQSg3EX3/9hdDQUOzbt48bCBNiLm+rXA/hoakumZns\nAaTPJLnaiEQsWyg3l2UOGQJ97osiAwEAAwYAmzez2eOmePgCuuthqiC1UgPx8eNGs1u2bDG+FBwO\nRzBcu8YyewzZFc7QBkIflBmISZOYqyk6mhUaFDKCSXMFgD///BNffPEFPvnkE9kPxziYS+zHVHrk\n5gJffGG885vL/QA018UYfnipgTAU+tyXe/eYPHVxcgImT2ZzJEyFrnqUlgpkJvWsWbOwa9curFmz\nBkSEXbt24fbt22pPfOfOHYSEhKBHjx7w9fXFmjVrZNu++eYbeHt7w9fXF4sWLZKtj4yMhKenJ7y8\nvHD48GHZ+vj4ePj5+cHT0xPz58/XVkeOGRMXByxaBLz8MnDsWENLYx4kJxvOvSSlTRtAKGXc0tNZ\nqWxFtGsHZGebVh5dKCszfiVXAACpwdfXl4iI/Pz8iIiosLCQBg4cqO4wys7OpgsXLsiO6datGyUm\nJtLx48dp2LBhVFFRQURE9+7dIyKihIQE8vf3p4qKCkpNTaWuXbuSRCIhIqK+fftSXFwcERGFhYVR\ndHR0vetpoArHDNm1i6htW6J33iFycCAqLW1oiRo3EglRv35E+/cb9rwREUSbNhn2nLoSEUH0/feK\nt33/PdGMGSYVRycCA4n+/dcw51L17FQ7gmj9OO3AysoKmZmZaN68OXJyctQaHldXVwQEBABg/a29\nvb2RmZmJdevWYfHixbC0tAQAOD0e6+3duxfh4eGwtLSEu7s7PDw8EBcXh+zsbBQWFspmcU+fPh17\n9uzRxRZyzJC8PGDCBGDFClYfPz6+oSVq3Jw+zT5TQ89bsLEBiooMe05dSU9XHgtp1w7Q4PHW4Jhq\nBKHWQIwdOxb5+flYuHAhAgMD4e7ujvDwcK0ukpaWhgsXLqBfv364ceMGTp48if79+yM4OBjnzp0D\nAGRlZcHNzU12jJubGzIzM+utF4vFyMzM1Or6jQlz8XmbSo/8/Jp6QQMGsPr+hsRc7gegmS4//AC8\n9hqbPGZIrK0NayD0uS9pacoNRPv2jSMGYSoDoTSLScqHH34IAJg0aRLGjBmDsrIy2Nvba3yBoqIi\nPPvss/j6669ha2uLqqoq5OfnIzY2Fv/++y8mT56MlJQU3TXgNGny8moMREAA8NdfDStPYyYtDdi7\nF1i+3PDntrFhmTcNTV4eC1IrmyUu7WFRWQk8dnIIktLSBjYQyibISdFkHkRlZSUmTZqEF198EePH\njwfARgbSY/v27QsLCwvcv38fYrEYd2r1/svIyICbmxvEYjEyMjLk1ovFYoXXi4iIgLu7OwDA3t4e\nAQEBsjxjqaXmy6ZZlq4z9vXy84Ph4cGWCwuB5GRh6C/UZSmKtm/ZAkybFgxnZ8NfPycn5nHw1zDn\nk67T9vjS0mD07QucPq18/44dga1bY9C1a8PfL2XLhYUxiI8H3Ny0P57d6y0AIHteKkVZcGLGjBkU\nERFBo0ePJnt7e5o4cSJNnDiRHBwcaMyYMWoDHxKJhKZNm0Zvvvmm3Pp169bRhx9+SERESUlJ1KFD\nByKqCVKXl5dTSkoKdenSRRakDgoKotjYWJJIJDxIzZFj4kSiX35hf2dlETk5Naw8jZk+fYhOnDDO\nuTdsIHrlFeOcWxtef53o009V7xMeTrRli2nk0RUrK6KiIsOcS9WzU+1TddiwYZSVlSVbzsrKouHD\nh6u96KlTp0gkEpG/vz8FBARQQEAARUdHU0VFBb344ovk6+tLvXv3phO1vpGfffYZde3albp3704H\nDx6UrT937hz5+vpS165dae7cuVor2Zg4Yaz/UBNjKj1CQoiOHmV/SyRE1tZEBQWGO7+53A8i1bpU\nVxO1akVUXGyca2/fTjRliuHOp8t9OXSIZbplZqre73//I5o3Tze5tEUXPSQSIgsLospKw8ig6tmp\nNgZx584duNaqgevi4oL09HR1h2HQoEGQSCQKt/30008K1y9ZsgRLliyptz4wMBBXrlxRe01O0yMl\npSbgKBKxNpf375um0qU5ce8eq5lkrMlXQshi+v134L33WCBaFb16sViMUKmqAiwsgOZqn976o/YS\nw4YNw8iRIzF16lQQEXbu3InhhirzyKlHbR9rY8YUejx6xGbndulSs87ODigsNNw1zOV+AKp1SUtT\nPnnMEFhbGzZIrct9KSjQrAJqr17ApUusf4Uhy40oQhc9TDZJDhoYiG+//Ra//fYbTp06BYDNrJ4w\nYYLRBeNw1JGYCHh5yadk2toyw8HRjtu3jWsghDCCUFaDqS6OjuwNPS8PaNvW+HJpiykNhEa1mCZO\nnIjVq1dj9erV3DgYmbrZJo0VU+iRkAD4+sqvs7MzrIEwl/sBqNYlNRVQl9CiD4Y2ELrcF00NBMCM\npQYVhfRGFz0EZyA4HCFy9arxDYS588UXwNGjwPXrbDRmLJydWY2jhmw7mp8PaDqFy1QGQhe4gWjC\nmIvP2xR6XL3KylLXRhqDiIoyTDlkc7kfgGJdFi0Cxo5lJb69vY137bZtmXHIyzPM+XSNQQhtBCH0\nGAQ3EJxGy82bQPfu8uukMYgVK1jTG45q2rYFysuB8+eNayBEIjZ7+dYt411DFUTaGYjevYHHYVfB\nUVZmus58Sg2En5+f0p+ePXuaRromiLn4vE2hR2Fh/XRWOzv2EMrPZ8Hr0lJWEnz3bt2uYS73A6iv\nS3l5TcZXVVVNyRJj0bYt0K8fEBqqf0kUbe9LcTErndGihWb7jx8PHDli/JcMXb5fpiqzAajIYtq3\nbx8AICoqCgAwbdo0EBG2bdtmGsk4HDUo6qplZ8d6Kc+eDezbx9Jg+/dn2xrS/y1Ebt8G3NzYyEGT\n9E99+fRTFu84cYIZ9iFDjH9NKffva5eR5ODAPptbtwA/P+PJpQu5uSac56Nulp2/v3+9dQEBAfpM\n3DMKGqjCMSOqqths0sfVWGS8/TYRwGYG9+5NdOYMWw4MbBg5hcw337CyEqZk2jSirl2JFDxWjMqp\nU0RPPqndMWPHEv32m3Hk0YdXXyVatcpw51P17FQbgyAinD59WrZ85swZkJm/iu3fz/x8HOFSXMxm\n/dadyDRrFvDTTyyP3dkZeFxNHvn5ppdR6Pz8MzBjhmmv+Z//AF99xWbAm/IxkpHBRgTa0JAxE1Wc\nOAGYaq6yWgOxefNmzJkzB506dUKnTp0wZ84cbN682RSyNQiXLrGsjnnzFG+vqjLu9c3F521sPZQ1\nbff0BF58kf3t5MT6Q/Tvr3sTGHO5H4C8Lo8esSwwU7p5ACAoiP1/SSei6Yq29yUjA+jQQbtreHgY\n30Boq0dZGXDnTv3kDGOh1kAEBgbi8uXLuHz5Mi5duoRLly6hd+/eppCtQdi1C3j+eeCPP1iA6tAh\n9nDx9WVZM089BZw8qdu5V62S78ublmYQkZskygxEbbp3Z8Hpx40NG3wmr5A4fRro29d0wc66BAUB\n//d/prvenTu6jSBu3jSOPLqSnAx07my6XhVqDUROTg5eeeUVTJkyBfb29khMTMSmTZtMIVuDcPMm\nMG4cCwJ9+SUzFl98wVwU77/PMmKOHNH+vBIJ8PbbzAAB7AHXuXP9+jTmkndvbD00MRChoWzEN2wY\n4OIC3L2r/XXM5X4AdXspACEhDSYKIiOB1at1dzNpe1+ys7UPxJvCxaStHklJphs9ABoYiIiICIwY\nMQJZj/vweXp6YvXq1UYXrKFISWHF38LCWDZMQQH7In/6KbBzJ/N765IfLS2Au2sXSy9MSGDLubmG\nk70poYmB6NsX+OQTlrLo4tI4eg2bipgYoCFtX+/eQEUFe+CZgoIC7dN43d1ZCZKFC4WTAXf3rvpq\ntIZErYG4f/8+pkyZgmaPK6JZWlqiuSnqzDYQqanMQEjbbo8ezQJ50uVZs3T7UicksGH19evAsWOA\ntHr5vXvy+5mLz9sUMQgbG9X7NG8OfPABmw/h6qrbCMJc7gdQo8ujR6zQYVBQw8kiEjED9fffuh2v\n7X0pKNA+NVQ6Z+LLL3XzGmiCLnpo0fFZb9Q+6W1sbPDgwQPZcmxsLNqYYbH9igrmr66oYMFNZ2eg\nupoF06S89x7w1lusjENRkfoHlJScHODVV9mI5PRplpN94wbbVtdAcDRDkxFEbfgIgrnbIiNZeZKg\noIaLP0gJCAAuXABeesn419L1wfrwIbB+PfDrr6xP9ZgxhpdNW3meeMJ011NrIFauXIlx48YhJSUF\nAwYMQG5uLn799VdTyGZSDh0Cpk4FnnyyJnXSos74atky9lvqm/T31+zcc+cCERFs9HH9OjMQ0rTL\nugbCXHzeQohB1IbHIIAuXYIxfDh7kxZCGDEgQPfGPNreF10NhJ0dc1H26AFs3MieEyNGaH8eZeii\nR9euhru+OtQaiB49euCvv/5CUlISiAjdu3dX2imuMfPPP+z37Nnq9+3SRXMDcfcumz0qbaL3xBPM\nQBQUsIJgfAShG9oaCFdXlsLclJE6AqKj2YtQQ+Pvz+6JRFL/ZcyQELE3b10dH56ewAsvsNHO4cOG\nNRDaYmoXk9rbMmDAAFhaWsLX1xd+fn5o0aIFBgwYYArZTEp8PHubmTZN/b5OTuwhrwmpqewLJh3O\n1zYQ3brxGISu5OZqVzqhtouJiLkPNcFc7gcAnDgRg+HDhWEcAPa/YGenW7q3NvelrIwZIH1caj/8\nACxebPgKr9p+vx4+FEgMIjs7G1lZWSgpKcH58+dBRBCJRHj06BFKzLBMZna25nnSDg7sAa8JdVs5\n1jYQvXsbrvxxUyMlpabGkiZ06MAyyYjYfX7mGRZLakqY2n+tCb16sdnutdvGGhpDvXULoUeELsF2\nfVBqIA4fPowtW7YgMzMTb7/9tmy9ra0tPv/8c5MIZ0ru3WOBaU1wcNC8dENamnynLqmBePiQzYM4\ne1Z+f3PxeRtbj5QUFjPSFA8PNsfl2jUgK4v9aIK53A8AcHYOFlwzpWeeAbZsASZP1u44be6LkA2E\nqWIpuqLUQMyYMQMzZszA7t27MWnSJNNJ1AAQMZeFk5Nm+zs41MxrUMbdu2zm9BdfAGvX1qz38mIl\nDvLzmYH480/d5W7KSOeraIqDA5t9um0bG7k1xVns9+8LbwQxdSpL4vj1Vybf668b/hradJJThYsL\nc1fpUtfJUOTnm3YEoTYGce7cORTU8qfk5+fj/fffN6pQpqaggE2Aa9lSs/01GUGsXMmMw6xZwMsv\n16x3cQGkbb3d3eufx1x83sbUo6KCxRN0qa2zfTtLq0xOZsFRdZjL/QCAy5djtIrbmILWrQEfH+C5\n5zRLEJGizX158EC7eJUyLCzY/7IhXZPa6lFWxp4hpkKtgYiOjoZ9LfPr4OCA/fv3qz3xnTt3EBIS\ngh49esDX1xdr1qyR275y5UpYWFggr5YTPjIyEp6envDy8sLhw4dl6+Pj4+Hn5wdPT0/Mnz9fI8W0\nQRv3EqA+BvHoEbBjB7BhAzMUdYNjTz3Ffrdvb7oqozk5NYUGKypYbZrGirSPgbbzNd3d2cjB25sd\nKzR3i7ERYgwCYIYbYC9pxkDbXhCqGD+eVVNtCM6fZzEbY2Z81UXtpSQSCcpq1b4uLS1FRUWF2hNb\nWlpi9erVSEhIQGxsLNauXYtr164BYMbjyJEj6FQrepuYmIidO3ciMTERBw8exJw5c2RlxWfPno1N\nmzYhOTkZycnJOHjwoNaKquLuXe2ssr298gd7eTlzLT31FJscpygVc9gwNlpRNBIxlM979OiaUteV\nlawOzfTpzDgMGgR07Gjc8gHG9N1r616SIh1xtG/P7osmuRbmFINo1ixYcCMIgL1EpaTUTFb98Uf1\nx2hzXww1ggCAPn2Ay5cN1w5AGz0uXWIGwpSoNRAvvPAChg4dik2bNuH777/HsGHDMH36dLUndnV1\nRcDjMpo2Njbw9vaW1XNasGABvvjiC7n99+7di/DwcFhaWsLd3R0eHh6Ii4tDdnY2CgsLEfS4LsD0\n6dOxZ88erRVVhbc362GsKcpcTOXl7M3244+BV15RfrxYzL5gVlbsrb68XHuZVVFSwnLdN2xgy/Hx\n7Jr79wNS22pt3XjfoPU1EO3asc++bqFEc0eIMQiAfTc7d2aG4tln2aRSaa0yQ2BIA2FtDQwcyCbN\nmZrsbPZZmRK1BmLRokV4//33ce3aNVy/fh0ffvghFi1apNVF0tLScOHCBfTr1w979+6Fm5tbvb7W\nWVlZcKsV+XFzc0NmZma99WKxGJmZmVpdXx1OToA2Uzs6dGA3q2756GvX2Ll2765xI6lCJKpvbAzh\n8z57lo1ypF66EyeASZNY9c5nngFGjWIuNWNO0jOG737wYOD33/UzEK1bsyCftbVmBsKcYhBZWcKL\nQdRm3jw2ipg1Czh+XPUItyFiEFKWLwcWLaqfgagLyvTIzAQuXpRf9+CB6Q28Rl5cb29vNG/eHMOH\nD0dJSQkKCwtha2ur0QWKiorw7LPP4uuvv4aFhQU+//xzHKlV+cqQ3ekiIiLg/jin1N7eHgEBAbIh\nnPRGGGK5dWuga9cYLFsGzJwZDA8Ptv3QIcDfPxgTJ2p+PienYOTmAtevx8jpoo98SUnA4MExOHUK\nSEsLxr59wIQJMQgJARwcgjFlCvDrr0xeT0/Dfz4AcPHxt9uQn//p08Dt28Ho2xewto55XJFU8+Pv\n3wfE4mCIREBVFTtfQIDq46UY+vMx9fKJEzHIz7+IJ54Qhjyqlt3dgXnzYh6PeBXvr8336/59ICdH\n+++LsuXevYGhQ2OwaxcwYIB+55NSd/uCBez86enB6NCBbU9KAiZN0l/+mJgYbNmyBQBkz0ulqOtX\nun79eurTpw916dKFiIiSkpIoNDRUo16nFRUVNGLECFq9ejUREV2+fJmcnZ3J3d2d3N3dqXnz5tSp\nUyfKycmhyMhIioyMlB07cuRIio2NpezsbPLy8pKt3759O82aNavetTRQxaCsWcN6HQNEt26xdW+/\nTfTZZ9qdZ+hQosOHDSvbO+8Qff456zc8ZAiRWExUVia/z9ixRHv2GPa6xkb6eQcEEJ07p/3xEglR\nSgr72xifu5ApKiJq1aqhpdCM7dtr7rMheOopomPHDHMuKatWEc2dq3jbxYtEGRn6nf/ZZ9lnsHYt\n+x+eMoUtnzmj33kVoerZqdbFtHbtWpw+fRp2dnYAgG7duuGeBr4JIsIrr7wCHx8fvPnmmwAAPz8/\n3L17F6mpqUhNTYWbmxvOnz8PFxcXPP3009ixYwcqKiqQmpqK5ORkBAUFwdXVFXZ2doiLiwMR4aef\nfsL48ePVXt/YzJkDfP89sGBBTdqbtL2lNri6Gr7KaHo6C0K/8ALw11/Avn31U3idnBpXHSiimi5a\nV6/q5mISiZivG9A8SG0uCDX+oAhp7oqh5hpom4SiCV5ezKVcl7w8VoRw2TLNJ2Mq4sYNYMoUVn33\nr79YLxrA9PdQrYFo2bIlWtZ6ulRVVUFUt1O8As6cOYOff/4ZJ06cQK9evdCrVy9ER0fL7VP7PD4+\nPpg8eTJ8fHwQFhaGqKgo2faoqCjMnDkTnp6e8PDwwKhRozRW0Fg0a8YC0dOmsfak69ax2vbaGoh2\n7Vg8Q0rdoacuSA1EWBjzYyrKfHB2rmlWRCQvgyEwhB61KS5mBsLGhgX2HRz0O5+mQWpD69FQ3LnD\n3HKNAamBaN1a+T6a3Jf161kvF2MYiM6dFU+2lDYT++svpkdysurzKNKjooLN+p82jU3Ke/nlms9E\ncDGIIUOG4LPPPkNJSQmOHDmCqKgojBs3Tu2JBw0apLbqa0pKitzykiVLsGTJknr7BQYG4oq0w47A\n6NmT5Zf/97/sRmqby+3qygJShoKIfSnd3Vm+tLKKsx071gTB4uJYfndmJjN8QkT6Bpyerv0EOUVo\nGqQ2F86cYSWrGwNiMcvCW7lSv/Ps3MkSNCwtte8mpw6xmP2/ENW0BwCYF2H6dGDrVnbN2FhmnN59\nl/0vzpql+rzjx7NMw0GDWFJJs2assdInn7ARlSnLbAAajCBWrFgBJycn+Pn5Yf369Rg9ejSWSRsj\ncDwH0p8AACAASURBVGBhwUo3FBezntXa4uoq//YuDSrpyoUL7O1a3UO0e/eaznjnz7O3rNOn9bq0\nHPrqURepgTh+nLXL1Bcrq6Y1D+LMGeD554MbWgyNadtW9SRSTe6L9H/Aycnwk8tsbdlky7oTZs+e\nBV58kbmfFy8GTp5kWXPffcfcRXWpq8fp0+xF88sv2Xd01Cg290IsZq5VQ+uhDpUjiKqqKvj6+uL6\n9et47bXXTCVTo0Pq19alV2znzqwk+N69rBGIr69+spw6BQwdqn6/7t3Zl/f4cWZUOnVi6blDhuh3\nfWORm8sMREiIYc7X1EYQycmspEVjQZr+rU+vCGnMyljzfaSjCKm7s6KC/S/17w8MH85e/Nq3Z2/+\nUVFsjkdZmfKy4/fusTL0a9fWjEpq12priBGgyo++efPm6N69O243dI1bgfM4fq9xLafaeHqyN/nx\n4wE/P/193vfvs1GJOqQTbp59lhmnNWuA337TrD6RJhjad5+SUmOIDUFTikEQsfIk6ekxDS2Kxtjb\n17g8FRXG1OS+5OUZ12UqNRBSLlxg/8/SGQDt2rHZzxcvAuPGKW57K9VjzRq2vV8/eZdVQ6M2BpGX\nl4cePXogKCgI1o/rRohEIvzxxx9GF66xoGkVWEXUDTqVluonS34+Gx2oQyRixqCkhAV927RhftJ/\n/tE+0G4KkpNZgyVDYW3ddHpx3LvH9FUV9BUa9vY1FQauXmUxM23Jz2ctQh8XYTA43bqx8/fty+IN\nf/9dvxlT7fnA0oQU6dSDqipWxdbZucY9LYD8GznUGohly5bVm8ymSRZTU2LuXGDkSN2OFYmYgSko\nYF8mZ+dgvWTJz9c8w0ckkq8VNWkSczMZwkAY2nd/44ZmrjNNsbXVzPVgDjEIaU+SxqRL8+bsZWXd\nOjbCHj1afrsmuuTlsViGhnN6tWboUDYCv32bVW5evFh1CY66GYs3bwJr1wZjyxZg5kxW8ufpp40j\nq66ojUG89tprSJJGMzkKadFCv9jB8uXsC9alC6tBExio+7n0aSgyaRIwcSJLr/v7b/UZF6bk1i3D\nNms3dqkRIfHll7q/wDQkffuyDLurV7U/tqSEzUPQNx1aFcOHMwNUXQ38/DP7vwsLU75/u3byLqa0\nNPaSVlzMzjVmjPFk1RW1MQgvLy8egzAyEyeydDixGDhzJkavc2kzgqiLvz8bNvv71zRukUhYOeYP\nP9TuXIb23d+/r58rry6aTlA0hxjE8eOszlFj1KVLF5bEURd1urz9NvvOGDq9tTZ2dmy+w7VrLOHj\n++9V13xyd6/JHATYyCM4OAZWViz2IETU5gdIYxChoaEYN24cxo0bh6eFNg4yE6yt9S8jrI+BEInk\nu98B7CF66xZ7yDQUEgmba2LIt8G6b3PmSlERi2sZ0riaErFYtxnJGRksc8hY7iUpnp4siK5J7G7k\nSFZRWeqxT0tjiRcZGcKd5a42BvHpp58CqIk7EBGPQRgJa2tWvE8X3nyTfdn0ba/YtSvw1VfsfETs\n7c3TE7hyRbuUQ0P6ux8+ZDOotW0QpAoXFzb3Q51Ojclvr4g7d1iAVyRqnLrUzRSSok6XpCTmtjU2\nLVqw/ztNmhL5+7OXnP/9D3jnHTaCGD062KhuMH1R++8eHBwMLy8vPHr0CIWFhfDx8cEQoSbLN3L0\nyc3fuJE91PUZQUiZP5992e/fZwYiMJANpxvK0/jggeFdBS1bMqNjqo5+uvDbbzUl23VFWnalsdK2\nLYsnaJPdV1nJvqu61OvShR49NM8c3L2b9Z5JT69JHhAyag3Erl270K9fP/zyyy/YtWsXgoKC8Msv\nv5hCtiaHtTVw61aMzscCzHViiHRGsZj9k0l7L7i7K85HV4Yh/d3SbBRDo0mguiH99pMmsYKL+pCU\nVDN/pDHGIEQi9p2u62ZSpUtqKvv+6jIvSRd8fVkGkiZ07Aj85z/Aa6+xe5OVFWNM0fRGozTXf//9\nF86Pmzbn5uZi6NCheO6554wuXFPD2lq37nKPHrGRR1gYm89gCJ55htWXqqoC3niD/dM1VB/rvDzj\nBBttbes3fRIK337Lfuvbpzk6WnV3w8aAND20Y0c24az27GJF3Lhh2Dkz6pg/n82i1pQlS1hFAGO9\n+BgStSMIIoJTrQhX27ZtDdrkh1ODtTVgZRWs9XHSFNDJk9mPIXj/fVbL5swZ1smtY0ftRhCG9Hcb\ny0DY2ACFhar30VePhw9ZwThtZ6j//jtw4ADTXVM32IMH8iWoi4rY/Rsxgi03xhgEwGJqjx4xI3Ho\nEEsFV6XLpUumNRD29mw0qiktW7LRIQAMHRpsFJkMhVoDMWrUKIwcORJbtmzBDz/8gNGjRyNMVbIv\nR2d0jUFIDUREBDBhgmFkadGCFRcbNIjVkunQocZA3Lhh2gyg1FTD9Qaoja2tegOhL2vWAKGhwDff\nMHedpiQns54DtYsqqmPiRFZvKTOTGaajR1n6pLQUTGPFzo7pIx3B/vOP8n3PnWMvN56eppFNV+bO\nZXONhI5aA/G///0Ps2bNwuXLl3HlyhXMmjULX5giPaAJYmXFWiNqy82bbK6CoXFzq6lv37lzzQOu\ne3fWuF0VhvR3//OPccolaOJi0lePK1eA995jefm+vmxZHaWlLDbSsaPmBoKo5l75+7Pii1u2AGPH\n1uzTGGMQAHObPnzI0kFFIjZ5Tpkuhw4B4eFsZrKQadGCpcUK/Z4oNRDJyck4/bj+86RJk7Bq1Sqs\nWrUKTk5OuHXrlskEbEroOg/C0LOMFeHlxR5U1dVsOSWFxSeMDRF7IBhjIpEmLiZ9uXKFuf02bGBv\njUuXqj/m0iWWGNCsmXoDUV0NHDnC3q6lbo5u3VgQdO9eeQPRWKltIAYOVD2COH4cmDq1cdWdEjJK\nDcSbb74pazNaGzs7O1kLUY5hsbYGiIK1Ps5YI4jadOrEXEzPPMP6X7i7q3aZGMrfLXVrGaJJUF00\ncTHpo0d1NTPe3buzGv8ffMDSVh8+VH3cihXsAQ+wz/rff5Xve/EiizHMnMlGWXFxzGB8+inwww/y\nLw6NNQbRpg2LQWRmsppMt24BffsGy7ZLJMw4jhrFjMdTTzWcrNoi9Hui1EDcvXsXPWuXInxMz549\nkapo7jtHb/SNQRgTadnk/ftZFkaPHixYaEwqK1lBNC8v45RANnYW0717bE6KNN3Sxoa9Ae/dq/yY\nxET5OlgDB7IyLJWV9fft1AnYvp3FHY4cYa6VoCD2PWrZksWkzAFpDKKggBmCumWzk5KYvs7OrB90\nY4+5CAmlBqKgbqukWpTpWw+CoxBra6CwMEarY6T+amO8Ydfl/n32Vjxpknp/uiF8qzduMOM3Y4be\np1KIrS17A5fWnVKEPnrk5NTvzfH++6wuktRVV5fPP2euKKmLRNodsK4xLi5mo6tt21hiQlUVMxCq\nELq/WxlSF1NhIbtnDg7A0aMxsu1nz7JMux9/ZO06GxNCvydKDUSfPn2wYcOGeus3btyIQH3KjXKU\n0rIlKyehzgVRm9RUFsw0ZBkKZbRtW1OWok8f1a4PQ5CUxHzoL71knPPb2AB//MGa2xuD7GyWw1+b\nQYPYfb57t/7++/YxF9Ebb8iv9/OrbyCkGTB377KYg1B7iRsCRQZCWqq9pISNaCMi6pev5+iP0sfK\nV199hQkTJmDbtm0ygxAfH4/y8nL8/vvvJhOwKSESAe7uwcjI0HzCW2qq6UoK1GbAAOYGqdu0XYoh\nfKtJSZqVMNCV2pPQjKGHohEEUDOnpG6L2n/+YTOn69bS6tGjfsnry5fZ8VlZmpeJFrq/WxlSA1FV\nxQyEoyPQsWMwAGY4XV1r5no0NoR+T5SOIFxdXXH27Fl89NFHcHd3R+fOnfHRRx8hNjYW7eq+FnEM\nRocO2s1YvntXsxajhqZ9e/bPeuOG8a6RlMTiD8bC3Z09rK2tjdO3WNEIAlB+j5XFkvr0YSOdkpKa\ndUlJwKJF7LfQZ+Pqi1jMPq/aIwjp5MGrV9kIi2McVM6DEIlECA0Nxbx58zB37lyEhoaaSq4mS7Nm\nMcjI0Hz/+/cbrlTwgAHM/6uI48djcOsWezOfMkW3lFhjjyAGDWL1plT1htDHR3zliuIJW7VnpZeV\nAdevs7+VGYiwMBZ4fZx1DoB9Nj4+2s0YFrq/Wxnu7myklJtbYyDOnYvB+fMsO0xBLk2jQej3RMPi\nzdpz584dhISEoEePHvD19cWaNWsAAAsXLoS3tzf8/f0xceJEPKzlcI+MjISnpye8vLxwuFYZy/j4\nePj5+cHT0xPz5883lsiCwNlZu5IWhm6kow0DB7Kspl27amrcS4mJYam3Dx6w7drOvCYyvoGQ4uqq\nOCagDxkZLKVVUY9haYrwoUMsGO3tzVI1b95U7C4UidhExdxctpyezlxMPXoYVmahYmnJPrOcHGYo\nHR3ZaOK114BPPlGdZMDRD6MZCEtLS6xevRoJCQmIjY3F2rVrce3aNYwYMQIJCQm4dOkSunXrhsjI\nSABAYmIidu7cicTERBw8eBBz5syR1XyaPXs2Nm3ahOTkZCQnJ+NgY0tV0ILRo4Nx+bLm++fmNuwI\nYvduNkL49dea9WVlwLlzwQBqRhiKavqr4v59ZiRMYfxcXZXP6dDFR1xQwIzn3Ln14wwAe/NPTJTP\nApMaCxcXxed0cmLZao8esVacS5cqdl+pQuj+blVIXxSkI4hbt4KRm8tmqTfmtFah3xOjGQhXV1cE\nBAQAAGxsbODt7Y2srCwMHz4cFo9TYfr164eMx/6UvXv3Ijw8HJaWlnB3d4eHhwfi4uKQnZ2NwsJC\nBD2utTB9+nTs2bPHWGI3OP37s0wWTeshNqSLyc+P+e9DQlg+vpTNm1kV0datgR072Dpt3GZAzRvy\n/7d370FRlnscwL/LQggHDCrAkkMYyv2yuLV2FBmIuIwRliiNNIlGR8WDl8qu2jl5TgZTTkRhU05a\nyEk0yVtNkpauhidUbhriuKuCEqxEoSKXXIXn/PG4q8hy39333e33mWFk33139/fw+r7Pvs/l95hj\nbapnnzXu4jLffMPH469aZfh53RyS6mq+jkdKCp8cN2VK3+V1c+NfBrZu5RXzkiXGi9cSBAbyf+3t\n+TlSXs5Htw12ASsyPGb589bV1aGyshKTbsuXsGHDBkybNg0A0NjYCM9bMrJ5enqioaGh1/axY8ei\nYahfRy3I2bNKMMazcBYWDry/kE1Mtrb8wpqb27MvoqgI+M9/lFix4mYZBlNB1NcDr77KU56XlfFv\nyuaQkMAXbzE0SXE4bcR79xpuWtK57z6eHlqp5PNJUlL42sb9JVp0d+cVRH7+8OeFiL29uz+3NjWG\nhADz5yv1kwktmdiPiclHz7e1tWHmzJnIzc2Fk5OTfvvq1atxxx13IDU11WifNXfuXHjfWKLJxcUF\nMplMfwunOxBifyyR8LxDU6fyx7NnG94/I0OJri6gqSkKbm7CxbtoURS6u4GLF5XYvRuQy6NQUQEk\nJFRhwgRgypQoREYC//ufEmFh/b/fyy8DR49GITER+PZbJSIiAMD05bGxATw8lCgsBJ57rufzOkN5\nv4oKfvyUSsPPSyTAX/+qRHU1EBgYBbkcWLpUeSOXkuH3b2pS4uBB4PffozBt2vDKW1VVJfj/7+E+\n/stflDcWPuKPAwKqcOoUcO+94ohvuI91zPn5SqUSn3/+OQDor5d9Yiak1WpZXFwcy8nJ6bH9s88+\nY5MnT2adnZ36bVlZWSwrK0v/OD4+npWWljKNRsP8/f312zdt2sQWLFjQ67NMXBSzWrSIMYAxOzvG\nfv/d8D533833ueMOxv74w7zxGRIQwNjx44x99hljs2b1fG7vXsYmTWKsrY2x3bsNv/6XXxi76y7G\nFi5kLDubsdBQxsrLTR62XkwMY4GBjF2/PrL36epizMGBsStX+t9v/nzGvLwG/76HDvHjPX36yOIj\n5Hb9XTtN1sTEGEN6ejoCAwN7JPcrLi7Gu+++i507d2LUqFH67UlJSdi8eTO0Wi1qa2uhVquhUCgw\nZswYjB49GocPHwZjDAUFBXjiiSdMFbYovPEGT92sUACVlYb30Q1vdHc339KK/fHx4TmDyst5G/Gt\nIiP5UM5PP+VDNg1l4zx0iLfBR0fz382RX+pWkyfzjmOVit/B6VJnD5VGwyd23XKzbFBQ0NBGIemS\nF4h9DWNiZUxVK/34449MIpGwsLAwJpPJmEwmY99++y0bP3488/Ly0m/LyMjQv2b16tXMx8eH+fn5\nseLiYv32srIyFhwczHx8fNjixYsNfp4Ji2JW+/fv1/++ciVjL71keL+oKP6N0t7ePHENZPNmxu68\nkzG5nLHvv+9ZDsYYi4hgLC6OxwwwptX2fP3SpfzOob6eP+/qar7YdVJSGNu4kX/+jBl82+3lGIhS\nycs6kIsXGTt1amjxlZX1fUc5GEMti5hZS1nEUI7+rp0m64OIiIhAt4F1FtVqdZ+vef311/H666/3\n2i6Xy/HzYFZasTJJSbxD0tAIm+ZmPsvYHDmYBuOpp4B//pPfQchkvRP5+fvzO4jsbD5y5/jxm9+K\nAX7XkJNzc+U4Ie6KHnyQxw/wJT+HMtxYZ7Cp111ceqfUGAilQCPmJpLLC9HRdSoBfC2A+nqeVsDV\nted+zc1ARYVwQ1wN+cc/+Gigu+/uPb5bd+FPSuLNOEeO3Lzgtbfz5p0HH+SP1Wo+l8DcgoL4OtC2\ntsDf/87Xkl66NGpI72GOtTmG6/ZjYsmspSxiLwdVECImlfJK4sgRID7+5vbubr6Yvbs7n2UqFv2N\nzU9M5DOAAwL4MMWaGr79+nVg7Vre36LrkhLqAuvvz/se3Nx4H8/p00N7PWP8NTNnmiY+QsyNppmI\nzO3D39LSeNbUq1dvbrt0iXeCiqlyuN3t5ZDLgfXr+e9+fjfzDxUW8qRzjz9u3vgMuf9+vk6DoyPv\nID9zZvDj1Ds7+aStoiLzdq4PxWDLYgmspSxiLwdVECL37LM8P8+2bTe3NTcLNznOGHTrLLe28kl2\nq1bxtBRCk0r5PJSzZ/lFfih3ELrz/OWXgfBwk4RHiNlJbvRiWzyJRAIrKUovSiVvtjhyhFcWJSX8\nW/ehQ0JHNjxdXbyfIiODzzpWKgceFmouJSV8lbnZs3km1paW/vdvbwf27eMzoV1deW4gQixJf9dO\nuoOwAFFR/GKanc0fW/odhFTK+ySys4FFi8RTOQA8BXhmJk8A19o6cE6sjz4CZszg+Zd0neyEWAuq\nIESmrzbJZct4+/aFC5ZRQQzUtpqZyf81V76lobKz40Nti4uV/e63fj2fWHfqlPiblsTe3j0U1lIW\nsZeDRjFZiLvv5qN/Tp4UNoOrsTz8MB/uamhBHbFwcQHa2vp+/tQp/nxJCbB6NW7kUiLEelAfhAVJ\nTeWpKioq+LKVL7wgdETWLTCQp9fuKyXGf//LF0waTNZdQsSK+iCshKcnX3jnwgVh1qH+s7nzTuCW\nBQ97UamGtuQnIZaGKgiR6a9N0tOTr6tQWyv+pG1ib1sdDBcX4OBBZZ/Pq9XibiK7nTUcEx1rKYvY\ny0EVhAXx9OT5gc6cEX8FYQ3uvNPwIkI6llZBEDJU1AdhQdragL/9jS9V2dVFyy2aWno6Xyv63Dk+\nNPd23t48XxNfyIYQy0R9EFbCyQn417/471Q5mN6SJTxR4sGDhp+/fJnfZRBiregyIzIDtUnOnAl0\ndJgnlpEQe9vqYISFAc88o8SmTb2fY4xPpBs92vxxDZc1HBMdaymL2MtBFYQFcnAQOoI/j0ce4Xmw\ntNqe29vbefZZsazHQYgpUB8EIQMICQEKCvhCSDoNDXwWeGOjcHERYgzUB0HICAQF8YEBt2ptpf4H\nYv2oghAZsbdJDpY1lcNQBVFaaln9D4D1HBPAesoi9nJQBUHIAHx9+ZwHndZWvk6HRiNcTISYA/VB\nEDKAAweAlSv5cqQA8PXXfG1tYOB04ISIXX/XThqDQcgA3N2BX3+9+fj774GxY4GpU4WLiRBzMFkT\nU319PaKjoxEUFITg4GB88MEHAICWlhbExsbC19cXcXFxuHTpkv41WVlZmDBhAvz9/bFnzx799vLy\ncoSEhGDChAlYunSpqUIWBbG3SQ6WNZXj9gpi715gxw7Ly+JqLccEsJ6yiL0cJqsg7OzskJOTgxMn\nTqC0tBRr167FyZMnkZ2djdjYWKhUKsTExCD7xjJpNTU12LJlC2pqalBcXIxFixbpb3syMjKwfv16\nqNVqqNVqFBcXmypswVVVVQkdglFYUzlcXXmaE62WrxzX3i7+xYEMsZZjAlhPWcReDpNVEGPGjIHs\nxsBxJycnBAQEoKGhAbt27UJaWhoAIC0tDTt27AAA7Ny5E7Nnz4adnR28vb0xfvx4HD58GBqNBleu\nXIFCoQAAzJkzR/8aa3TrHZUls6Zy2NjwBZqam4E1a4DcXMO5mcTOWo4JYD1lEXs5zDKKqa6uDpWV\nlZg0aRKamprg4eEBAPDw8EBTUxMAoLGxEZ6envrXeHp6oqGhodf2sWPHoqGhwSRxjvR2zxi3i3V1\ndSN+D2BksYilHMaIY6TvoSuHpydvWqqoAOLizB+HMd7DWo4JII6yiKEcpm6iMnkF0dbWhuTkZOTm\n5sLZ2bnHcxKJBBKJxNQhDJoY/sMY65ZT6ArCGOUQw8VIV45//xuYNw9ISwMcHc0fhzHew1qOCSCO\nsoihHCbvw2AmpNVqWVxcHMvJydFv8/PzYxqNhjHGWGNjI/Pz82OMMZaVlcWysrL0+8XHx7PS0lKm\n0WiYv7+/fvumTZvYggULen2Wj48PA0A/9EM/9EM/Q/jx8fHp8xpusmGujDGkp6cjMDAQy5Yt029P\nSkpCfn4+XnnlFeTn5+OJJ57Qb09NTcULL7yAhoYGqNVqKBQKSCQSjB49GocPH4ZCoUBBQQGWLFnS\n6/NOnz5tqqIQQsifkskmypWUlCAyMhKhoaH6ZqSsrCwoFAqkpKTg/Pnz8Pb2xpdffgkXFxcAwNtv\nv40NGzbA1tYWubm5iI+PB8CHuc6dOxednZ2YNm2afsgsIYQQ07GamdSEEEKMi3IxCcjJyUnoEEZs\nx44dsLGxwalTp4QOxWgGOi5RUVEoLy83UzRD88svv2D69Onw9fXF+PHjsWzZMly7dq3P/d9//310\ndnaaMcKhs/TzxJLPEaogBCSmEVzDVVhYiMTERBQOcVpxd3e3iSIauYGOi9hG3+kwxjBjxgzMmDED\nKpUKKpUKbW1tWLFiRZ+vyc3NRYfIlygU4996KCz5HKEKQmDt7e149NFHIZfLERoail27dgHg46MD\nAgIwf/58BAcHIz4+Hn/88YfA0fbU1taGw4cPIy8vD1u2bAHAh91FRkYiMTER/v7+yMjI0M+Id3Jy\nwvLlyyGTyVBaWipk6AM6cOAAHn/8cf3jzMxM5OfnCxjRwPbt2wcHBwf9RFQbGxvk5ORgw4YN6Ojo\nwPLlyxESEoKwsDDk5eXhww8/RGNjI6KjoxETEyNw9P2z1PPE0s8RqiAE5uDggO3bt6O8vBz79u3D\niy++qH/u9OnTyMzMRHV1NVxcXPDVV18JGGlvO3fuREJCAry8vODm5oaKigoAwNGjR5GXl4eamhqc\nOXMG27ZtAwB0dHTg4YcfRlVVFSZPnixk6EMm1ruGW504cQJyubzHNmdnZ3h5eeHTTz/FuXPncOzY\nMRw7dgxPP/00Fi9ejPvuuw9KpRI//PCDQFEPjqWeJ5Z+jlAFIbDu7m689tprCAsLQ2xsLBobG/Hr\njcxw48aNQ2hoKABALpcbbZa1sRQWFmLWrFkAgFmzZqGwsBASiQQKhQLe3t6wsbHB7NmzUVJSAgCQ\nSqVITk4WMmSr1lcFxhiDUqnEwoULYWPDT3lXV1dzhjZilnqeWPo5Qum+BfbFF1/gt99+Q0VFBaRS\nKcaNG6e/Rba3t9fvJ5VKRdWZ2NLSgv3796O6uhoSiQRdXV2QSCR47LHHelyoGGP6i9KoUaNE/y1c\nx9bWtkcbsJj+9n0JDAxEUVFRj22tra2or6/HAw88YNHrpVjieWIN5wjdQQjs8uXLcHd3h1Qqxf79\n+3Hu3DmhQxqUoqIizJkzB3V1daitrcX58+cxbtw4HDx4EEeOHEFdXR26u7uxZcsWRERECB3ukN1/\n//2oqamBVqvFpUuXsG/fPqFDGlBMTAw6OjpQUFAAAOjq6sKLL76IefPmIS4uDp988gm6uroAABcv\nXgTAm6BaW1sFi3mwLPE8sYZzhCoIgVy/fh329vZ4+umnUVZWhtDQUBQUFCAgIEC/z+3fJMT0zWLz\n5s148skne2xLTk7G5s2b8dBDDyEzMxOBgYHw8fHR7yem+PuiOy6enp5ISUlBcHAwnnrqKUycOFHo\n0AZl+/bt2Lp1K3x9feHn5wdHR0e8/fbbeO655+Dl5YXQ0FDIZDL9iJr58+cjISFBtJ3UlnyeWMU5\nMqwkS2TEqqqq2KRJk4QOw+iUSiVLTEwUOoxhs9bjYqms8XhY0jlCdxAC+Pjjj5Gamoq33npL6FBM\nQnTfggbJ2o+LpbHm42Ep5wil2iCEEGIQ3UEQQggxiCoIM6ivr0d0dDSCgoIQHBysz0bb0tKC2NhY\n+Pr6Ii4uTr/8YEtLC6Kjo+Hs7IzFixf3eK+EhATIZDIEBQUhPT293zw7hFgKY54jOklJSQgJCTFb\nGawRVRBmYGdnh5ycHJw4cQKlpaVYu3YtTp48iezsbMTGxkKlUiEmJgbZ2dkA+Fjot956C2vWrOn1\nXkVFRaiqqsKJEydw+fJl/fR9QiyZMc8RANi2bRucnZ0tpq1frKiCMIMxY8ZAJpMB4LlWAgIC0NDQ\ngF27dunz5qSlpWHHjh0AAEdHR0yZMqXHBCAdXWbLa9euQavV4p577jFTKQgxHWOeI21tbcjJycHK\nlSstenKgGFAFYWZ1dXWorKzEpEmT0NTUBA8PDwCAh4cHmpqaeuzb17ef+Ph4eHh4wMHBAQkJQREQ\nFAAAA61JREFUCSaPmRBzGuk58sYbb2D58uVwHM7i4aQHqiDMqK2tDcnJycjNzYWzs3OP54aSDO67\n776DRqPB1atXRZ9hlJChGOk5UlVVhbNnz2L69Ol092AEVEGYybVr15CcnIxnnnlGvw63h4cHLly4\nAADQaDRwd3cf9PvZ29sjOTkZR48eNUm8hJibMc6R0tJSlJWVYdy4cZg6dSpUKhUeeeQRk8duraiC\nMAPGGNLT0xEYGIhly5bptyclJenvAPLz8/Unxa2vu1V7ezs0Gg0AnoLgm2++QXh4uImjJ8T0jHWO\nLFy4EA0NDaitrUVJSQl8fX0tIo+WWNFEOTMoKSlBZGQkQkND9bfIWVlZUCgUSElJwfnz5+Ht7Y0v\nv/wSLi4uAABvb29cuXIFWq0WLi4u2Lt3L+666y4kJibi6tWrYIwhPj4e77zzDo3UIBZvpOeIq6sr\n9uzZA39/f/171tXVISkpCcePHxekTNaAKghCCCEGURMTIYQQg6iCIIQQYhBVEIQQQgyiCoIQQohB\nVEEQQggxiCoIQgghBlEFQcgwSKVShIeHIzg4GDKZDO+9996AqR3OnTunXwuaEEtAFQQhw+Do6IjK\nykpUV1dj79692L17N1atWtXva2pra7Fp0yYzRUjIyFEFQcgIubm5Yd26dcjLywPAZ/BGRkZCLpdD\nLpfjp59+AgC8+uqr+PHHHxEeHo7c3Fx0d3fjpZdegkKhQFhYGNatWydkMQjphWZSEzIMzs7OuHLl\nSo9trq6uUKlUcHJygo2NDezt7aFWq5GamoqjR4/iwIEDWLNmDb7++msAwLp169Dc3IwVK1bg6tWr\niIiIwNatW+Ht7S1AiQjpzVboAAixNlqtFpmZmTh27BikUinUajWA3onl9uzZg59//hlFRUUAgNbW\nVpw+fZoqCCIaVEEQYgRnz56FVCqFm5sb3nzzTdx7770oKChAV1cXRo0a1efr8vLyEBsba8ZICRk8\n6oMgZISam5uxcOFCLF68GAC/ExgzZgwAYOPGjejq6gLQu1kqPj4eH330Ea5fvw4AUKlU6OjoMHP0\nhPSN7iAIGYbOzk6Eh4fj2rVrsLW1xZw5c/D8888DABYtWoTk5GRs3LgRCQkJ+nXEw8LCIJVKIZPJ\nMG/ePCxZsgR1dXWYOHEiGGNwd3fH9u3bhSwWIT1QJzUhhBCDqImJEEKIQVRBEEIIMYgqCEIIIQZR\nBUEIIcQgqiAIIYQYRBUEIYQQg6iCIIQQYhBVEIQQQgz6P+J5a5egtapPAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is similar to the moving window we used above, exept we are using de-trended data. What we see is that even after correcting for the length of day, the temperature, the precipitation, and the weekly trends, we still see a huge spike of riders in May 2014.\n", "\n", "I want to remark on one interesting feature: the detrended data hits a low-point in July 2013. This does not mean there were fewer riders in that month, but that there were **fewer riders than the model would expect** given the weather, hours of daylight, and day of the week. This points to the existence of other factors that we've not taken into account. Perhaps the average weather in a given time period affects people's decisions: that is, a warm day in January brings everyone out, while a warm day in July is so unexceptional that people leave their bike in the garage. It would be interesting to do a more detailed analysis and try to eke-out this type of information.\n", "\n", "Nevertheless, if you look at this plot and squint, you can also see what looks like a steady upward trend from left to right. Let's see if we can quantify this." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Accounting for a Steady Increase or Decrease of Riders" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a final model, we'll add-in the day index to allow our model to account for an overall increase or decrease in the number of riders with time:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "daily['daycount'] = np.arange(len(daily))\n", "\n", "columns = days + ['daycount', 'daylight', 'TMIN', 'TMAX', 'PRCP']\n", "X = daily[columns]\n", "y = daily['total']\n", "final_model = LinearRegression().fit(X, y)\n", "daily['final_trend'] = final_model.predict(X)\n", "\n", "daily['final_corrected'] = daily['total'] - daily['final_trend'] + daily['final_trend'].mean()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "daily['total'].plot()\n", "daily['final_trend'].plot();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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3g4aHQU+UxhRC5LMTs5B9jHcOh2IHtbfDr38dxgQcEqESCAaL7VneSEfqx/gq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\n2pKNZHs7cvOt7WdSZRgyTSBXB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"text": [ "" ] } ], "prompt_number": 25 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And here is the final de-trended data:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "daily['final_corrected'].plot()\n", "plt.ylabel('corrected ridership')\n", "print(\"rms = {0:.0f}\".format(np.std(daily['final_corrected'])))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "rms = 509\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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axL59+8To0aNFd3e3EEKIgoICsWXLFtHd3S1mzZol3nrrLdN3cnE2bBBi7Fgh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\niNZW4Nln6bM3EgQvrowSxHn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JE7SKMpvEuYLNBoksQfDznZ3apAaYT2Zm8MUG0d6urdYC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\nYU+YMcP1xECGJyN1OPtW0FRMCnoEw1aQlETP91UbBOCbBNF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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "What Can The Final Model Tell Us?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have this model, we can use it to answer some questions about bike ridership in Seattle.\n", "\n", "First we'll compute the error covariance, which contains the error bars on each of the parameters:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "vy = np.sum((y - daily['final_trend']) ** 2) / len(y)\n", "X2 = np.hstack([X, np.ones((X.shape[0], 1))])\n", "C = vy * np.linalg.inv(np.dot(X2.T, X2))\n", "var = C.diagonal()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can answer some questions..." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "How Does Rain Affect Ridership?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ind = columns.index('PRCP')\n", "slope = final_model.coef_[ind]\n", "error = np.sqrt(var[ind])\n", "print(\"{0:.0f} +/- {1:.0f} daily crossings lost per inch of rain\".format(-slope, error))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "828 +/- 79 daily crossings lost per inch of rain\n" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our model shows that once all other factors are accounted for, **every inch of rain translates, on average, to about 800 cyclists staying home**. Not a surprising result, but it's interesting to see it quantified!" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "How Does Temperature Affect Ridership?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For temperature, we have to be more careful. The minimum and maximum temperature will be highly correlated, so we should average the trends between the two:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ind1, ind2 = columns.index('TMIN'), columns.index('TMAX')\n", "slope = final_model.coef_[ind1] + final_model.coef_[ind2]\n", "error = np.sqrt(var[ind1] + var[ind2])\n", "print('{0:.0f} +/- {1:.0f} riders per ten degrees Fahrenheit'.format(10 * slope, 10 * error))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "246 +/- 63 riders per ten degrees Fahrenheit\n" ] } ], "prompt_number": 29 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that for every increase of ten degrees, we add around 250 crossings on the Fremont bridge!" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "How Does Daylight Affect Ridership?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ind = columns.index('daylight')\n", "slope = final_model.coef_[ind]\n", "error = np.sqrt(var[ind])\n", "print(\"{0:.0f} +/- {1:.0f} daily crossings gained per hour of daylight\".format(slope, error))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "127 +/- 14 daily crossings gained per hour of daylight\n" ] } ], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that, once the effects of rain and temperature are removed, each hour of daylight results in about 125 more crossings at the Fremont Bridge. This is fewer than the ~2000/week (~300/day) that we saw above: this is because our first model did not include precipitation and temperature: apparently the weather is far more important than the darkness in affecting ridership!" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Is Ridership Increasing?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's try to answer the question we started out with: after correcting for all the above effects, is ridership increasing in Seattle?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ind = columns.index('daycount')\n", "slope = final_model.coef_[ind]\n", "error = np.sqrt(var[ind])\n", "print(\"{0:.2f} +/- {1:.2f} new riders per day\".format(slope, error))\n", "print(\"{0:.1f} +/- {1:.1f} new riders per week\".format(7 * slope, 7 * error))\n", "print(\"annual change: ({0:.0f} +/- {1:.0f})%\".format(100 * 365 * slope / daily['total'].mean(),\n", " 100 * 365 * error / daily['total'].mean()))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0.63 +/- 0.12 new riders per day\n", "4.4 +/- 0.8 new riders per week\n", "annual change: (10 +/- 2)%\n" ] } ], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By looking at the slope of the daily trend, we see that there are 4.4 new riders per week crossing the Fremont bridge: nearly one new rider per work day! This translates to about **10% growth in bike ridership over the past year, once we correct for all the other effects described above.**\n", "\n", "Good news for bicycling in Seattle!" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Conclusion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Is Seattle really seeing an uptick in cycling? The answer appears to be yes: **corrected for seasonal and climate effects, Seattle's Fremont bridge is seeing, on average, about one new bicycle commuter each work day**, and that trend reflects the entire year-and-a-half that the city has been collecting data. Along the way, we saw how rain, temperature, and daylight affect the choices of Seattle's bicycling community.\n", "\n", "This has been an exploration of available cycling data using an incredibly simple linear model based on daily climate trends. This just scrapes the surface, and uses an extremely simplistic linear model to find some broad-brush results. It's clear from the ~500 rider RMS that there are still some factors I've left out: perhaps seasonal effects like Bike-to-work month (happening each May) and summer vacation times have some effect. My hunch is that the difference in weather from one day to the next might be more important than the weather isolated on any given day; we've not taken that into account. Most notably, nonlinear effects might play a role (for example, the trend for cold + precipitation might outweigh the trend for cold and the trend for rain considered separately) but nevertheless, I think these are some interesting results despite the shortcuts taken in the analysis.\n", "\n", "Thanks for reading!\n", "\n", "\n", "This post was written entirely in the IPython notebook. You can\n", "[download](http://jakevdp.github.io/downloads/notebooks/SeattleCycling.ipynb)\n", "this notebook, or see a static view\n", "[here](http://nbviewer.ipython.org/url/jakevdp.github.io/downloads/notebooks/SeattleCycling.ipynb).\n", "" ] } ], "metadata": {} } ] }