{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "2013 Chicago Marathon Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With close to 39,000 results, the [2013 Chicago Marathon Results](http://results.chicagomarathon.com/2013/) combine two of my favourite topics, statistics and running. I decided to take this opportunity to learn more about [pandas](http://pandas.pydata.org/) by using it to analyze the result set to provide some insight into how people run marathons.\n", "\n", "Let me begin first by saying I am **not** a statistician and this won't be a formal or rigourous statistical analysis. Instead, these are at best Malcolm Gladwell-esque observations, less the interesting storytelling. I will be cherry-picking results in order to illustrate something that may be \"interesting\", but will likely have no statistical significance." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas as pd\n", "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# Plotting options.\n", "pd.set_option('display.mpl_style', 'default') # Make the graphs a bit prettier\n", "figsize(15, 5)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# These results were obtained by scraping the official results site.\n", "results = pd.read_csv('chicago_marathon_results.csv')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "# Massage the data: Change the M-15/W-15 to just 0-15 to match the other division nomenclature, which does not have a gender.\n", "results.division[results.division == 'M-15'] = '0-15'\n", "results.division[results.division == 'W-15'] = '0-15'" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's what a sample result looks like, using my own result as an example: (Note that the DataFrame index is **not** the finishing place, because I had to scrape male and female results separately)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "results[results.name_location == 'Chng, Peter (CAN)']" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
placeplace_genderplace_divisionname_locationcity_statebibdivisionagehalf_splitfinishgenderfinish_secondshalf_split_secondssplit_diff_secondssplit_diff
512 570 513 153 Chng, Peter (CAN) Toronto, ON 1032 25-29 29 01:27:14 02:55:22 M 10522 5234 54 0:00:54.0
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 35, "text": [ " place place_gender place_division name_location city_state \\\n", "512 570 513 153 Chng, Peter (CAN) Toronto, ON \n", "\n", " bib division age half_split finish gender finish_seconds \\\n", "512 1032 25-29 29 01:27:14 02:55:22 M 10522 \n", "\n", " half_split_seconds split_diff_seconds split_diff \n", "512 5234 54 0:00:54.0 " ] } ], "prompt_number": 35 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Demographics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There were a total of 38,883 results obtained from the website, broken down into the following numbers for men/women:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "gender_breakdown = results.groupby(['gender']).size();\n", "ax = gender_breakdown.plot(kind='bar', figsize=(5,5))\n", "pyplot.xticks(rotation='horizontal')\n", "def label_gender_breakdown(values, total, ax):\n", " for i, value in enumerate(values):\n", " ax.text(0.5 + i, 1.05*value, value, size=14, weight='bold')\n", " ax.text(0.5 + i, 0.5*value, \"{:.2%}\".format(float(value)/total), size=12, weight='bold', color='w')\n", "label_gender_breakdown(gender_breakdown, len(results), ax)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Age Groups" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There's nothing surprising here. Most marathons tend to be split roughly ~60/40 in terms of a male/female ratio, so 55/45 is not too far off. A further breakdown by gender and age group is provided below:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "m = results[results.gender == 'M'].groupby(['division']).size()\n", "f = results[results.gender == 'W'].groupby(['division']).size()\n", "d = {'M': m, 'F': f}\n", "gender_division_counts = pd.DataFrame(d)\n", "ax = gender_division_counts.plot(kind='bar', color=['r', 'b'])\n", "ax.set_ylabel('Number of runners')\n", "def label_gender_division_counts(d, ax):\n", " # Iterate over M/F separately because they may contain separate sets.\n", " for (i, value) in enumerate(d['F']):\n", " ax.text(0.25 + i, value + 50, value, weight='bold') \n", " for (i, value) in enumerate(d['M']):\n", " ax.text(0.65 + i, value + 50, value, weight='bold')\n", "label_gender_division_counts(d, ax)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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IiIRTxNfpi42NJS4u7qL2xoO483V+AC6XK2h7cxqvj+HxeKJ+vYwNGzawadOmQA1fVVUV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\n4cBsYmI2MTGbmJhNPFrMlZaWhrS0NPf327Ztw7Zt2wa9Hi2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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "My Malcolm Gladwell-esque observation: Women tend to care more about fitness (or at least marathons) than men earlier in life. The F25-29 group is by far the largest division represented here. However, the female numbers drop off after this age group, perhaps because the amount of free time women have is highest in their mid-to-late 20s.\n", "\n", "On the other hand, men develop more concern for marathonining later in life, starting after their 30s, with the next largest divisions being M30-34, M35-39 and M40-44, all of which are roughly equal. These three age groups account for almost 28% of the total number of runners finishing the race. Curiously, male participation drops off steeply after the M40-44 age group. I would have thought it would remain stronger on account of men having more free time later in life and perhaps due to the \"mid-life crisis\" effect.\n", "\n", "All together, the top five divisions by numbers (**F25-29, M30-34, M35-39, M40-44 and F30-34**) account for 46% of the total finishers." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Finishing times" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at a graph of finishing time vs. finishing place. First, we have to convert the String \"HH:MM:SS\" format into an integer number of seconds for graphing purposes. (Perhaps there is an easier way by converting this into a `timedelta` or similar type instead?)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# TODO: PC: Redo this using Time Series/Date functionality: \n", "# http://pandas.pydata.org/pandas-docs/stable/timeseries.html#dateoffset-objects" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 273 }, { "cell_type": "code", "collapsed": false, "input": [ "# Convert a hh:mm:ss string to int seconds.\n", "def timestring_to_seconds(time_string):\n", " if type(time_string) != str:\n", " return numpy.nan\n", " parts = time_string.split(':')\n", " return int(parts[0])*3600 + int(parts[1])*60 + int(parts[2])\n", "\n", "# Convert an int seconds into a str hh:mm:ss\n", "def seconds_to_timestring(time_seconds):\n", " if math.isnan(time_seconds):\n", " return nan\n", " \n", " # If the number is negative, work with the absolute value to avoid modulo with negative numbers.\n", " time = abs(time_seconds)\n", " \n", " hours = int(time/3600)\n", " minutes = int((time % 3600)/60)\n", " seconds = time % 60\n", " output = \"{0}:{1:02.0f}:{2:04.1f}\".format(hours, minutes, seconds)\n", " if time_seconds < 0:\n", " output = '-' + output\n", " return output\n", "\n", "# Convert times into seconds.\n", "results['finish_seconds'] = results['finish'].map(timestring_to_seconds)\n", "results['half_split_seconds'] = results['half_split'].map(timestring_to_seconds)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "# Axis formatter to convert seconds to a human-readable time.\n", "def time_ticks(x, pos):\n", " d = datetime.timedelta(seconds=x)\n", " return str(d)\n", "ax = results.sort(columns='finish_seconds').plot(x='place', y='finish_seconds', figsize=(15,5))\n", "ax.yaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(time_ticks))\n", "ax.yaxis.set_label_text('finishing time')\n", "ax.xaxis.set_label_text('finishing place')\n", "pyplot.title('Finishing time vs. finishing place')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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6Ro0a1aH43LBhQ0ImBvQF96YyG/mYj4zMRj7mIyPzkZHZyOfstEQtuZ1D7zTd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\n/PoDmIV8zEdGZiMf85GR+cjIbOQTnShGA/Tb4D0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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "From what I've seen, this is a pretty typical result. The graph initially has a very steep slope and is concave (slope decreasing) until we reach what I call the \"main group\" at around a finishing place ~3,000 to ~35,000. Between these two values, the slope is roughly constant and after this, the slope starts to increase again. (convex)\n", "\n", "**Interpretation**: Initially, finishers are spread out more and there is a relatively large amount of time between finisher *n* and *n + 1*. By the time we get to finisher 5,000 (roughly ~3:30), there is comparatively less time between subsequent finishers and thus runners are more \"bunched up\". As time goes on however, finishers get more \"drawn out\",and the last hundred finishers have comparatively large time gaps between them.\n", "\n", "Some more mundane statistics:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Average Finishing Time:\n", "seconds_to_timestring(results.finish_seconds.mean())" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "'4:32:24.7'" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "# Average Male Finishing Time:\n", "seconds_to_timestring(results[results.gender == 'M'].finish_seconds.mean())" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "'4:20:55.7'" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "# Average Female Finishing Time:\n", "seconds_to_timestring(results[results.gender == 'W'].finish_seconds.mean())" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "'4:46:35.7'" ] } ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "# Percentage of finishers faster than the mean:\n", "\"{:.2%}\".format(float(len(results[results.finish_seconds < results.finish_seconds.mean()].index))/len(results))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "'53.74%'" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the number of finishers faster than the mean time of 4:32:24.7 is slightly greater than 50%, indicating the distribution is not symmetrical about the mean/average. (More on this later)" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Finishing Times by Age Group" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following are the average finishing times for each age group:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "avg_finish_time_groups = results.groupby(['gender', 'division']).finish_seconds.mean()\n", "avg_finish_time_groups = pd.DataFrame({'M': avg_finish_time_groups['M'], 'F': avg_finish_time_groups['W']})\n", "ax = avg_finish_time_groups.plot(kind='bar')\n", "ax.yaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(time_ticks))\n", "ax.yaxis.set_major_locator(MultipleLocator(60*30))\n", "pyplot.title('Average finish time for each age group')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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1H+8ydcrkw7nnI23oKNPas5NTvlPR7oJlJDxLL1ISshk+LJ6IiIiIiIjUwjuB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\nIiIb+QGt+JaZO4HiWAAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The time difference between genders is remarkably consistent across most of the age groups. Additionally, average times **remain relatively consistent from 20-24 all the way to 40-44**." ] }, { "cell_type": "code", "collapsed": false, "input": [ "male_female_differences = results.groupby(['gender', 'division']).finish_seconds.mean()['W'] - results.groupby(['gender', 'division']).finish_seconds.mean()['M']\n", "ax = male_female_differences.plot(kind='bar')\n", "ax.yaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(time_ticks))\n", "ax.set_ylim([0, 60*35])\n", "ax.yaxis.set_major_locator(MultipleLocator(300))\n", "pyplot.title('Female-Male average finish time difference')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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zFkUgAAAAAMQRisAoMmE9MAAAAGKTzXNJsnmLIhAAAAAA4ghFYBSZsB4YAAAA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\n6+H4nOYfsZ1n+fLlmjlzphz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"text": [ "" ] } ], "prompt_number": 15 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above is a graph showing the time difference between the average female finishing time and average male finishing time for each age group. As you can see, **the majority of the differences were between 25 and 30 minutes**." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Finishing Time Percentiles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's define a function that accepts a percentile and outputs the maximum time you could have run and still finished within that percentile." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def percentile_time(percentile):\n", " if percentile < 0 or percentile >= 1:\n", " return None\n", " # Subtract one because indexing is 0-based.\n", " location = int(percentile * len(results)) - 1\n", " if location < 0:\n", " # Time is too fast; no one finished faster than that!\n", " return None\n", " # NOTE: Have to use iloc[] to get the integer-based position rather than relying on the label using .loc[] or .ix[]\n", " return results.sort(columns='finish_seconds').iloc[location]['finish']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 16 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's run the numbers with some percentiles:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "percentiles = pd.Series([0.01, 0.05, 0.1, 0.2, 0.5])\n", "finishing_time_percentiles = pd.Series([percentile_time(p) for p in percentiles])\n", "pd.DataFrame({'percentiles': percentiles, 'finishing_time': finishing_time_percentiles})" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
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finishing_timepercentiles
0 02:50:20 0.01
1 03:14:11 0.05
2 03:28:35 0.10
3 03:46:58 0.20
4 04:27:26 0.50
\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 17, "text": [ " finishing_time percentiles\n", "0 02:50:20 0.01\n", "1 03:14:11 0.05\n", "2 03:28:35 0.10\n", "3 03:46:58 0.20\n", "4 04:27:26 0.50" ] } ], "prompt_number": 17 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, finishing **3:28:35 or faster** was good enough finishing in the **top 10%**." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Percentile Finishing Times Graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting this information gives us a cumulative distribution function (CDF) of finishing times, which nicely shows the percentage of runners finishing faster than a given time:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def percentage_ticks(value, pos):\n", " return \"{:.2%}\".format(value)\n", "\n", "plot_times = [7200 + 300*i for i in range (0, 6*12 + 1)] # 5-minute bins from 2:00 to 8:05\n", "num_results = float(len(results)) # Use a float here so the dividend will be converted to a float to avoid integer division/truncation.\n", "percentiles = [len(results[results.finish_seconds < t].index)/num_results for t in plot_times]\n", "# cdf = pd.DataFrame(percentiles, index=plot_times)\n", "fig, ax = pyplot.subplots()\n", "fig.set_size_inches(16, 6)\n", "pylab.xticks(rotation='vertical')\n", "pyplot.title('Percentile Finishing Times')\n", "ax.yaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(percentage_ticks))\n", "ax.yaxis.set_major_locator(MultipleLocator(0.10))\n", "ax.yaxis.set_minor_locator(MultipleLocator(0.05))\n", "ax.yaxis.set_label_text('Percentage finishing faster')\n", "ax.xaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(time_ticks))\n", "ax.xaxis.set_major_locator(MultipleLocator(300)) # X-axis labels every 300 s/5 min\n", "ax.xaxis.set_label_text('Finishing time')\n", "# Adjust the positioning of the bars to line up with the x-label values. (3:30 should be 10.82%, 3:40 15.77%)\n", "bars = pyplot.bar(left=[i - 200 for i in plot_times], height=percentiles, width=300)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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HNdiRw7Z4EzmoIfbxodZhTjGA4cJgGQAAAACAfrgMewi8OPfIRA5qiH28iRzUYEcO2+JN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\n5pKeuRfsc4m/K4kxl+bjJJW0i2WtN4hrqTeZTCgsLER6evq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"text": [ "" ] } ], "prompt_number": 18 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see in this graph, **around 10%** of finishers were **3:30 or faster**. To get into the **top 5%**, you had run faster than **~3:15**. Getting into the top 50% required being faster than 4:30. Interestingly, a sub-3 finish, considered a tough goal by many amateurs including myself, gets you into the top < 3% in this mass-participation event." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Finishing Time Distribution and Goal Times" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's look at a histogram of all the finishing times. In the following histogram, the number of finishers in each five-minute interval are plotted:\n", "\n", "Note that the histogram is basically the empirical analogue of the **probability mass function (PMF)** corresponding to the CDF above; indeed a graph of the partial summation of the histogram below would pretty much yield the CDF above." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# For plotting a histogram of finishing times:\n", "# Five-minute bins starting from 2:00:00.\n", "bins=[7200 + 300*i for i in range (0, 6*12 + 1)]\n", "def finish_time_histogram(results, color=None):\n", " fig, ax = pyplot.subplots()\n", " ax.xaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(time_ticks))\n", " ax.xaxis.set_major_locator(MultipleLocator(300))\n", " ax.yaxis.set_label_text('number of finishers')\n", " pylab.xticks(rotation='vertical')\n", " return pyplot.hist(results.finish_seconds, bins=bins, color=color)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "plot = finish_time_histogram(results)\n", "plot[2][23].set_facecolor('r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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glHqLHimuwaKHRabQn09F+JlchDVY9CCTj3qLHmSqvYqvBN58881qa2srf/7l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\nT/GWqQhrsOjhMVMI3h0UAAA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"text": [ "" ] } ], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Whoa!** This is a pretty interesting result, in my opinion. If everyone was running to their ultimate best, you would expect a somewhat smooth graph that would be reflective of human ability. In fact, I would expect it to be almost a normal distribution, with equal numbers of runners faster and slower than the mean, though I have no evidence to suggest running ability is normally distributed like other human attributes such as height.\n", "\n", "Instead, we have one extreme outlier bin - the **3:55-4:00 group of finishers.** (I've highlighted this bin in red in the graph above)\n", "\n", "**My explanation**: To make vastly generalized statement, people do **not** aim to run their best time. Instead, they *aim to run good enough to achieve some goal time*. Anecdotally, this is what I've always heard when talking with other runners in my group: We all aim to hit some goal, whether it is sub-4:00, sub-3:30 or a Boston Qualifying (BQ) time. We run just hard enough to meet the goal, but not exceed it by a large margin. (The reasoning is that trying to go out too fast could cause you to crash and completely miss your goal, so you usually try to maintain a pace that would have you finish not more than five minutes faster than your goal.)\n", "\n", "When looking at the above graph, it's clear to me that the **most common goal time** is a sub-4 hour finish. Again, I have no evidence to support this claim, but I believe many people who finished in the 3:55-4:00 could have run faster, but achieving a sub-4 finish was their goal. (I am not criticizing anyone here, just trying to make sense of the numbers, and indeed this was my strategy when running my first sub-3 hour marathon: Run the race \"just good enough\", and no better. After all, why expose yourself to more pain than is necessary?)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To test out my \"hypothesis\" more, let's look at specific gender-age groups I've cherry-picked to illustrate my point: The following is for the M30-34 group:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot = finish_time_histogram(results[(results.division == '30-34') & (results.gender == 'M')])\n", "plot[2][11].set_facecolor('r')\n", "plot[2][17].set_facecolor('r')\n", "plot[2][23].set_facecolor('r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EAAAAAAhXzs3ehQsXdPPmTV24cGHAj2vXroV5fb5w/dwtLVoutLr271dxc7Pxj+TVq8Yt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\nMZW81yQAFIoxlVN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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The 3:55-4:00 bin is less prominent in M30-34 than for all runners, but it's still the largest bin and there is a **huge** drop off in the next slowest bin. Seems like it's far less desirable to finish in 4:00-4:05. \n", "\n", "The other anomaly here is the huge jump in the 2:55-3:00 bin compared to the previous one. **This likely reflects the number of younger males going for that sub-3 finish**, myself included. Again, we all seem to have settled on the \"optimal\" strategy of running fast enough, but no faster.\n", "\n", "Another big jump happens in the 3:25-3:30 bin reflecting the sub-3:30 crowd. Curiously, there is no big jump in the 3:00-3:05 bin, which I would have expected given that a [Boston Qualifier](http://www.baa.org/races/boston-marathon/participant-information/qualifying/qualifying-standards.aspx) for this age group is 3:05 or faster. However, these runners could have decided to go for the sub-3 since it's so close. (Or maybe that's just my after-the-fact explanation, to make the theory fit the facts - again, I am not claiming to be scientific here at all.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the F30-34 division:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot = finish_time_histogram(results[(results.division == '30-34') & (results.gender == 'W')])\n", "plot[2][18].set_facecolor('r')\n", "plot[2][23].set_facecolor('r')\n", "plot[2][29].set_facecolor('r')\n", "plot[2][35].set_facecolor('r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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dPHhQK1askCRt3rxZM2bM0O7du7VmzRpJ0saNG9XQ0GD63jfC+cHh1rLmPHS0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\n2QubY2YvbM5DR2su6Y6WGUE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"text": [ "" ] } ], "prompt_number": 22 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Three promiment peaks are seen here: **3:55-4:00 (sub-4), 4:25-4:30 (sub-4:30) and 4:55-5:00. (sub-5)**. These probably reflect the most common goal times of this particular division/age group, assuming goal times correlate with finishing times.\n", "\n", "There is a smaller anomaly resulting in a slightly larger 3:30-3:35 group than the surrounding ones, but it's not enough to be statistically significant I think. (Don't ask me to calculate the *p*-value!) If it means anything, it's because the BQ time for this age/gender group is 3:35 or faster.\n", "\n", "Let's look at one other group I've cherry-picked: M35-39:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot = finish_time_histogram(results[(results.division == '35-39') & (results.gender == 'M')])\n", "plot[2][13].set_facecolor('r')\n", "plot[2][17].set_facecolor('r')\n", "plot[2][21].set_facecolor('r')\n", "plot[2][23].set_facecolor('r')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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cEjt7yAPLnb2Y/bGfLZiqn2/4OKiGnb1eMd/z/3v/NHV1h/VpGF2nSWO5MAcAwJuK3mfv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\nZgqRi4s9AAAAAMibXFzspXy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"text": [ "" ] } ], "prompt_number": 23 }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are a few patterns. The first is the sub-3:10 crowd in the 3:05-3:10 bin, which corresponds to coming in just under the BQ time for this age group. The second is the sub-3:30 crowd, and finally, the ubiquitous sub-4 group. There also appears to be a significant sub-3:50 group. I've highlighed all four groups.\n", "\n", "In fact, when I looked at the histograms of most of the larger age-groups, one thing became clear: **The sub-4 goal is pretty common across most divisions, as evidenced by the histogram across all finishing times**. The \"BQ\" effect was less reliable, showing up sometimes like in the M35-39 group above, while not showing up as much in other groups.\n", "\n", "Here's a combined histogram of the finishing times of the five largest age groups:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "d = {\n", " 'F25-29': results[(results.division == '25-29') & (results.gender == 'W')].finish_seconds,\n", " 'M30-34': results[(results.division == '30-34') & (results.gender == 'M')].finish_seconds,\n", " 'M35-39': results[(results.division == '35-39') & (results.gender == 'M')].finish_seconds,\n", " 'M40-44': results[(results.division == '40-44') & (results.gender == 'M')].finish_seconds,\n", " 'F30-34': results[(results.division == '30-34') & (results.gender == 'W')].finish_seconds,\n", " }\n", "\n", "fig, ax = pyplot.subplots()\n", "fig.set_size_inches(50, 10, forward=True)\n", "ax.xaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(time_ticks))\n", "ax.xaxis.set_major_locator(MultipleLocator(300))\n", "ax.yaxis.set_label_text('number of finishers')\n", "pylab.xticks(rotation='vertical')\n", "plot = pyplot.hist(d.values(), label=d.keys(), bins=bins, histtype='bar')\n", "pyplot.legend()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The graph is a little too large to interpret, but I included it anyways. You'll have to open it up into a separate window and commit the sin of horizontal scrolling to see all of it. But the same story basically holds. Other than the F25-39 group, the 3:55-4:00 bin is the largest for most other age groups seen here, and usually by quite a margin." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Boston Qualifiers" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I've talked about [Boston Qualifying times](http://www.baa.org/races/boston-marathon/participant-information/qualifying/qualifying-standards.aspx) a lot, so let's see what percentage of runners achieved a Boston Qualifying (BQ) time in each age-gender group. Boston Qualifying times are based on two factors: Your gender and the age group you fall into. The times increase as your age increases and females get 30 more minutes as compared to a male of the same age.\n", "\n", "Note that these statistics may not be 100% valid, as the age in the Chicago Marathon results is probably the age of the runner on race day, whereas your BQ time is determined by your *age on the day of the Boston Marathon, not the date when you ran your qualifying race*. Thus, if you were 34 on the date of the Chicago Marathon but turned 35 on or before the Boston Marathon, their qualifying time would be 3:10 or faster.\n", "\n", "Note that I am excluding the 0-15 and 16-19 age groups, as those contain (at least some) members not eligible to run the Boston Marathon due to age requirements." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# First, define the BQ times for each age-gender group specified in the results. \n", "# Thankfully, they don't cut across the BQ age groups.\n", "# I should really put these into a CSV and do pd.read_csv() rather than being stupid and manually inputting it here.\n", "bq_times = {\n", " 'M20-24': '3:05:00',\n", " 'M25-29': '3:05:00',\n", " 'M30-34': '3:05:00',\n", " 'M35-39': '3:10:00',\n", " 'M40-44': '3:15:00',\n", " 'M45-49': '3:25:00',\n", " 'M50-54': '3:30:00',\n", " 'M55-59': '3:40:00',\n", " 'M60-64': '3:55:00',\n", " 'M65-69': '4:10:00',\n", " 'M70-74': '4:25:00',\n", " 'M75-79': '4:40:00',\n", " 'M80+': '4:55:00',\n", " \n", " 'W20-24': '3:35:00',\n", " 'W25-29': '3:35:00',\n", " 'W30-34': '3:35:00',\n", " 'W35-39': '3:40:00',\n", " 'W40-44': '3:45:00',\n", " 'W45-49': '3:55:00',\n", " 'W50-54': '4:00:00',\n", " 'W55-59': '4:10:00',\n", " 'W60-64': '4:25:00',\n", " 'W65-69': '4:40:00',\n", " 'W70-74': '4:55:00',\n", " 'W75-79': '5:10:00',\n", " 'W80+': '5:25:00',\n", "}" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 25 }, { "cell_type": "code", "collapsed": false, "input": [ "m = results[results.gender == 'M'].groupby(['division']).size()\n", "f = results[results.gender == 'W'].groupby(['division']).size()\n", "\n", "def calc_bq_percentages(gender, groups):\n", " bq_indexes = list()\n", " bq_percentages = list()\n", " for i, value in enumerate(groups):\n", " bq_cat = gender + groups.index[i]\n", " if bq_cat in bq_times:\n", " bq_indexes.append(groups.index[i]) \n", " bq_time = timestring_to_seconds(bq_times[bq_cat])\n", " bq_results = results[\n", " (results.gender == gender) & \n", " (results.division == groups.index[i]) & \n", " (results.finish_seconds < bq_time)]\n", " num_qualifiers = len(bq_results.index)\n", " bq_percentages.append(num_qualifiers/float(groups[i]))\n", " return bq_indexes, bq_percentages\n", "\n", "male_bq_percentages = calc_bq_percentages('M', m)\n", "female_bq_percentages = calc_bq_percentages('W', f)\n", "\n", "male_bq_percentages = pd.Series(male_bq_percentages[1], male_bq_percentages[0])\n", "female_bq_percentages = pd.Series(female_bq_percentages[1], female_bq_percentages[0])\n", "bq_d = {'M': male_bq_percentages, 'F': female_bq_percentages}\n", "bq_percentages = pd.DataFrame(bq_d)\n", "\n", "ax = bq_percentages.plot(kind='bar')\n", "ax.yaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(percentage_ticks))\n", "ax.yaxis.set_major_locator(MultipleLocator(0.10))\n", "ax.yaxis.set_minor_locator(MultipleLocator(0.05))\n", "ax.set_ylim([0, 0.4])\n", "pyplot.title('Percentage of runners meeting Boston Marathon qualifying standards')\n", "\n", "def label_percentages(d, ax, v_offset):\n", " # Iterate over M/F separately because they may contain separate sets.\n", " format_str = \"{:.1%}\"\n", " for (i, value) in enumerate(d['F']):\n", " ax.text(0.25 + i, value + v_offset, format_str.format(value), weight='bold') \n", " for (i, value) in enumerate(d['M']):\n", " ax.text(0.65 + i, value + v_offset, format_str.format(value), weight='bold')\n", "label_percentages(bq_d, ax, 0.02)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Y+vDzjp93Sm/z/S7m+130/Py8s8zPOwcHBxgizNILlrLO3hdffIFffvkFb7zx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\nd1RVVWHZsmUAgD/84Q946KE7r4nVq1cDANatWzfqvrGxsSg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"text": [ "" ] } ], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generally, neither gender appears to have a significant advantage over the other when it comes to obtaining a BQ, despite many who claim that the extra 30 minutes that females get is \"unfair\". Therefore, one _interpretation_ of the raw data here is that BQ times are \"fair\" for the different genders.\n", "\n", "Also, it appears that the percentage of runners BQ'ing increases with increasing age. This could mean that the extra time given with age is more than is needed to compensate for decreasing running ability as one ages, or it could simply mean that older runners train harder.\n", "\n", "Also note that the older age groups do not have as many runners, and so are more affected by statistical anomalies. For example, the male and female 70-74 groups had only 51 and 12 finishers, respectively." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Chicago Qualifying Standards" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Background**: The Chicago Marathon (CM) has not had guaranteed entry via qualifying times until this year. This change was prompted after the fiasco surrounding last year's registration, where the servers of the third-party handling the registration went [down under the load/traffic experienced](http://www.runnersworld.com/chicago-marathon/chicago-marathon-switches-to-lottery-for-registration) on the first day of registration. About 25,000 people were able to register and the remaining 15,000 spots were filled by an impromptu lottery. \n", "\n", "To avoid a repeat of the same situation, registration this year will be conducted via a lottery as is the case with many other large races where demand greatly exceeds supply. However, there are certain ways to get guaranteed entry, one of which is to run a qualifying time. (This is similar to how the New York City Marathon allots spots) \n", "\n", "Just for fun, let's see what percentage of finishers in each age-group division of the 2013 race would qualify for [guaranteed entry](http://www.chicagomarathon.com/participant-information/registration/chicago-marathon-time-qualifier/) into the 2014 Chicago Marathon. \n", "\n", "The qualifying times are 3:15:00 or faster for men and 3:45:00 or faster for women. *Unlike BQ times, there is no age adjustment.* This would seem to put older folks at a significant disadvantage, so let's see how the effect scales with age groups:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "m = results[results.gender == 'M'].division.value_counts()\n", "f = results[results.gender == 'W'].division.value_counts()\n", "\n", "def cm_percentiles(gender, time, division_counts):\n", " percentiles = dict()\n", " for division in division_counts.index:\n", " n_results = len(results[(results.gender == 'M') & (results.division == division) & (results.finish_seconds <= timestring_to_seconds('3:15:00'))].index)\n", " percentiles[division] = n_results/float(division_counts[division])\n", " return percentiles\n", "\n", "cm_male_percentiles = pd.Series(cm_percentiles('M', '3:15:00', m))\n", "cm_female_percentiles = pd.Series(cm_percentiles('W', '3:45:00', f))\n", "cm_d = {'M': cm_male_percentiles, 'F': cm_female_percentiles}\n", "cm_qualifying_percentages = pd.DataFrame(cm_d)\n", "ax = cm_qualifying_percentages.plot(kind='bar')\n", "ax.yaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(percentage_ticks))\n", "ax.set_ylim([0, 0.2])\n", "label_percentages(cm_d, ax, 0.01)\n", "pyplot.title('Percentage of runners meeting Chicago Marathon qualifying standards')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 27, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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RERERCYidvUZW9UTq119/jXbt2tn9EE41jEe2lKjZRM0FMJtaMZs6MZs6MZv6\niJoLYDZbazL32WvpocVzL/e16vrNsXfvXvzyyy/w9fXFwIEDceXKFWzatAlZWVkYM2YMnJ2drdZG\nIiIiIiJqOppMzZ5aiZSFiIiIiIiUxZo9IiIiIiKiJoadPaqTGsYjW0rUbKLmAphNrZhNnZhNnZhN\nfUTNBTCbrbGzR0REREREJCDW7Nk5kbIQEREREZGymlzNnouLC3Jzc+3+lga1kSQJubm5cHFxsXVT\niIiIiIhIhYS89YK3tzcKCgpw7do1aDSaRnlNnU4HDw8PxdYnSRI8PDzg7u6u2DotlZiYiMGDB9u6\nGVYhajZRcwHMplbMpk7Mpk7Mpj6i5gKYzdaE7OwBgLu7e6N2lC5evIhu3bo12usRERERERHVRsia\nPSIiIiIioqagydXsERERERERNXXs7ClEDffZsBSzqY+ouQBmUytmUydmUydmUx9RcwHMZmvs7BER\nEREREQmINXtEREREREQqxZo9IiIiIiKiJoadPYWoYcyupZhNfUTNBTCbWjGbOjGbOjGb+oiaC2A2\nW2Nnj4iIiIiISECs2SMiIiIiIlIp1uwRERERERE1MezsKUQNY3YtxWzqI2ougNnUitnUidnUidnU\nR9RcALPZGjt7REREREREAmLNHhERERERkUqxZo+IiIiIiKiJYWdPIWoYs2spZlMfUXMBzKZWzKZO\nzKZOzKY+ouYCmM3W2NkjIiIiIiISEGv2iIiIiIiIVIo1e0RERERERE0MO3sKUcOYXUsxm/qImgtg\nNrViNnViNnViNvURNRfAbLbGzh4REREREZGA6qzZMxgMkCQJDg4OjdUms7Fmj4iIiIiImrLaavYc\na3vi/v37cfHiRYwePRrt27cHAOzatQsVFRUAgM6dO+Ohhx6q9cVzcnIQHx8PBwcHBAcHo127drXO\nT05Ohl6vh4+PD7p06VK/pERERERERASgjmGcI0eOxGOPPWY0T6vVYvTo0Rg9enSdHT0AOHbsGCZM\nmIBx48bhl19+qXO+k5MTHnnkERQUFNQzim2pYcyupZhNfUTNBTCbWjGbOjGbOjGb+oiaC2A2W6t3\nzV5FRQW2bt2Kb7/9FikpKXUu7+rqKv/t7Oxc53x3d3ckJSWhffv2SE5Ols8iEhERERERkfnqrNk7\ndeoUPD095WGcVe3btw9PPPFErS9w8OBBhISEmP33rVu3kJqaCgDo3bs3PD09Ta6bNXtERERERNSU\nWe0+e04ehNRSAAAgAElEQVROTnUuU/XMnEajqXW+wWBAVlYWunfvDhcXF+Tm5ta5/qqnTxMTEznN\naU5zmtOc5jSnOc1pTnO6yUzXpt5n9rKysuDr6wsA2L17N55++ml52YyMDDRr1gyBgYHyvG3btiEs\nLAySJGH37t0YNWpUrfMBIDU1Fb169ZL/b4o9ndlLTEzE4MGDbd0Mq2A29RE1F8BsasVs6sRs6sRs\n6iNqLoDZGoPFV+P8/vvvcfHiRWi1Wvj5+WHIkCHIysrCsWPHAKBaR+zo0aPQaDRGnb3+/fsjLi4O\nkiTh8ccfr3M+ALi5uSEpKQkuLi71S0pEREREREQAzDizZ8/s6cweERERERFRY7NazR4REYlLr9fj\n5s2btm4GERERWYidPYXUVRypZsymPqLmApitMeTn5yMiIgJdunTBunXr5PmrVq1Ct27d0LVrV8TF\nxdW5noULF8LPzw99+/bFmjVr5PnR0dHw9fXFhg0brNH8Rmcvn5s1MJs6MZv6iJoLYDZbY2ePiIiM\nODs7Y8iQIUYXzgKAH374AevXr8emTZswb948lJWVmVzH0aNHsW3bNuzduxdz587FypUr5ceOHDmC\nffv2Yc+ePVbLQERERKzZIyJqML1eD51Oh9atW9u6KYpavHgxAGDu3LlG83NyctCvXz+cPn0abm5u\nNT739u3byMnJgb+/P06fPo3Ro0fj7NmzAIApU6Zg27ZtGDRoEDQaDWJiYhAQEGDdMERERIJizR4R\nkRUoNdwxLS0Nffv2RdeuXXHgwAF5vj0Od5w5cyZ69uyJxx57zGRHDwBatGgBf39/ZGdn469//Svm\nzJkjPzZ79mwEBQUhOzsbEydOZEePiIjIStjZU4gaxuxaitnUR9RcgH1lU2K4IwDMmDED06ZNw7Rp\n0zBr1ixUVFQAsM/hjh988AG++uor/Pbbbzh16lSty2ZmZuKpp57C888/L3foLly4gPDwcLRo0QIF\nBQU4fPhwYzTbquxpm1Qas6kTs6mPqLkAZrM1dvaIiCyk1WoxefJk3HvvvUbzt2zZggEDBsDPzw8G\ngwF6vd7kOvLy8pCVlYWIiAj06dMHPj4+OHnyJADA19cXwcHB0Ov1CAsLk4dBNgadToeCggIUFhYi\nPz8fBQUFOHjwIPLz89GuXTt4eXnh999/l5c3GAwwGAzydFpaGp588kmEhYVh4sSJKCwsBAB07twZ\nycnJ0Gq1iI6ORmZmJvLy8hotFxERUVNS603VyXyDBw+2dROshtnUR9RcgHqyzZw5E3FxcRgxYkSt\nwx3z8/PRsmVLAHeyeXh4oKCgAMCd4Y5Xr15FdnY2IiMjG224Y25uLnr16oWioiIAwIYNG3D06FEs\nXrwYp06dgouLC0aPHm1UHxAZGQkAiImJAQDs27cPubm5+OSTT/DJJ5/Azc0NV65cAXCnkzxmzBjM\nnDkTQ4cOhaenZ6Pksha1bJOWYDZ1Yjb1ETUXwGy2xgu0EBE1UE0XMsnPz8evv/6KmTNn4uuvv0Zg\nYGCNz7116xb69OmDS5cuAQCCg4OxevVqaLVahIaGIjAwEGlpaRgxYgT++c9/Wj8MERERqQov0NII\n1DBm11LMpj6i5gLsL1tDhzt6eXnBz88PsbGxWL58OW7evImAgADhhjva2+emJGZTJ2ZTJ1GziZoL\nYDZb4zBOIiILKTHcEQCWLVuGiIgIlJaWYvXq1XB0vLNrFm24IxERETUuDuMkIiIiIiJSKQ7jJCIi\nIiIiamLY2VOIGsbsWorZ1EfUXACzqRWzqROzqROzqY+ouQBmszV29oiIiIiIiATEmj0iIiIiIiKV\nYs0eERERERFRE8POnkLUMGbXUsymPqLmAphNrZhNnZhNnZhNfUTNBTCbrbGzR0REREREJCDW7BER\nEREREakUa/aIiIiIiIiaGHb2FKKGMbuWYjb1ETUXwGxqxWzqxGzqxGzqI2ougNlszdHWDSAiIvvy\nR34pbhSUKbpOtzb3Kro+IiIiqhtr9oiIyMiJa7fx1t5MRdf50ZNd0LN9C0XXSURERLXX7PHMHhGR\nhZQ+A9bG3RntWrootj4iIiJq2tjZU0hiYiIGDx5s62ZYBbOpj6i5APvKdqOgTNEzYPMH+aBdy46K\nrc+e6HQ6QNAze/a0TSqN2dSJ2dRH1FwAs9kaL9BCREREREQkINbsERFZSOnaNnupa2PNHhERkXrw\nPntERERERERNDDt7ClHDfTYsxWzqc3cuvV6Pmzdv1jmvNvVd3lpE/cyA/1fXJiiRs4m8TTKbOjGb\n+oiaC2A2W2Nnj0hg+fn5iIiIQJcuXbBu3TqT8+q7jkrR0dHw9fXFhg0brNF8IiIiImoAXo1TIfZ+\nJZ6GYDb1qczl7OyMIUOGwN3dXX6spnm1qW35I0eOYN++fViwYAEiIiIUaXtdRP3MAMDDw8PWTbAa\nkbOJvE0ymzoxm/qImgtgNlvjmT0igWm1WkyePBn33ntvrfPqu45Kvr6+CA4Ohl6vR1hYGM6ePatY\n24mIiIioYdjZU4gaxuxaitnUp7FyzZ49G0FBQcjOzsbEiRMREBBg9dcU9TMDxK5rEzmbyNsks6kT\ns6mPqLkAZrM1dvaIyCIXLlxAeHg4WrRogYKCAhw+fLjW5e3lAi9EALdHIiJqGtjZU4gaxuxaitnU\np2ounU6HgoICFBYWIj8/3+S8SgaDAQaDwWheTct37twZycnJ0Gq1iI6ORmZmJvLy8qq1xdQFXtLS\n0tC3b1907doVBw4cqDPToUOH0KNHD7z00kv45ptv5PkiXSRG5Lo2e8mm9PYYEBCAa9euyfNF2h4B\ncfeRALOplajZRM0FMJut8QItRALLzc1Fr169UFRUBADYsGEDfvvtN/Ts2RPFxcXyvNTUVHh5eQEA\nIiMjAQAxMTEm11G5vFarxZgxYzBz5kwMHToUnp6e1dpg6gIvM2bMwLRp09ChQwfMmDED6enpcHBw\nMJllxowZWLx4Mby8vDBu3DiEhobCxcXFJheJIfXi9khERE0Jz+wpRA1jdi3FbOpTmcvb2xtXr15F\nbm4ucnNzceXKFXh7eyM7O9toXmVHD7jTyavs6JlaR9XlQ0NDcenSJZO3cajpAi95eXnIyspCREQE\nQkJC4OPjg4yMjFozVVRUwM/PD9evX4dGo4EkSQDEukiMyHVt9pJN6e2xU6dOqKiosKvtUckhqqLu\nIwFmUytRs4maC2A2W2Nnj4gaXX5+Plq2bClPe3h4oLCwsNbnjB07FkOGDMFLL72EkJAQaLVaALa5\nSAyJpSHbY8+ePREUFGQX26NSQ1R79uwJb29veHt7IyoqSp4v2hBVIqKmgJ09hahhzK6lmE197D2X\nu7u70ZkenU5Xa02XXq/Hpk2bEBsbi2+//RYJCQn4888/632RGHtnL3Vt1mDP2RqyPW7ZsgUnT560\ni+2xcojqqFGjjOZXDlFdtWoVZs2ahYqKilrXo9FoEB8fj9OnT2P37t3y/Mohqnv27LFK+xubve8n\nG4LZ1EfUXACz2Ro7e0RkdXdf4MXLywt+fn6IjY3F/v37cfPmTaMzIHdfJKaoqAgVFRXo2LEj2rRp\nA61Wi5s3b5p9kRi14hUjrUPU7VGpIaoAMH78eDz66KPYsWOHPM8ehqgSEVH9sLOnEDWM2bUUs6mP\nPeXKzc1F9+7dsXr1aqxatQrdu3fHrVu3sGzZMqxYsQJz5szBypUr4ej4v+tFRUZGyheKAe6cFZo3\nbx7GjRuH4cOHIzw8HN26dQMA+SIxb775Jtq2bVvjRWLUovLsklLD8VatWoVu3bqha9euiIuLk+fb\nYjievdTsKb09PvHEE+jfv7/dbo+WDFGdPn06YmNjsXHjRrz11lvyZyfakGl72k8qjdnUR9RcALPZ\nGq/GSURWVXmBl7t5eXkhLS2txudUvUBMpalTp2Lq1KlITEysNmwiNDQUoaGhyjTYDih1xcgffvgB\n69evBwCMGzcOY8aMgbOzc5O+YqTS2yNQ/WBvT9tjfYeoAsDkyZPlv9u1a4eLFy+iZcuWCA8PR2Bg\nIC5duoTDhw/j2WeftVq7iYhIGTyzpxA1jNm1FLOpj6i5ALGzVf4jXKnheFu2bMGAAQPg5+cHg8EA\nvV4PwDbD8ey5Zq+h7GmbbOgQ1fT0dKxduxZXrlxBUlIScnNz4evra/MhqtZgT5+b0phNfUTNBTCb\nrfHMHhGRClgyHA8AZs6cibi4OIwYMQJubm4A7gzHu3r1KrKzsxEZGan64Xh0h6l7Yi5btkw+g1vT\nEFXgf2cvW7ZsiZ07dyIqKgqtW7fGokWL5FutmHNfTSIisi88s6cQNYzZtRSzqY+ouQCxs9VW12bJ\ncDwA+OCDD/DVV1/ht99+w6lTp2x2xUh7qdmzBnvZJk3dE7N3795IS0tDWloahg0bZvScu++r6evr\ni127diE7Oxupqano0KGD0fJ13VdTTezlc7MGZlMfUXMBzGZr7OwREdmhhg7HKygowMGDB5Gfn492\n7drBy8sLv//+u5DD8YiIiKhm7OwpRA1jdi0leraDBw+ie/fuePDBB826wqGp5e3phsOif2aiqjxT\np8QVI3U6HRYvXox+/frhqaeeQu/eveWzOra4YiRr9tSJ2dSJ2dRH1FwAs9kaa/aoyZs1axaWLl0K\nrVaLadOm4fjx49BqtWYvn5KSAhcXlyZ9hUNSlhJXjOzQoQO+//57k69hT1eMJCIiIuvgmT2FqGHM\nrqVEz1ZeXo6OHTuiVatWuH37NpKTk2t9jqnl7emGw6J/ZqISua5N5Gwib5PMpk7Mpj6i5gKYzdZ4\nZo+avAULFmD48OFwcHBAixYtcP369Xotn5OTA4BXOCQiIiIi+6KRJEmydSMsFR8fj969e9u6GSSA\noqIi6HQ6PProo9i4cSMGDRpUr+Xbtm2L0NBQBAYGIi0tDSNGjMA///nPRmp9dXm5hcjXlSi6zpYe\nWnh6uym6zoY4ePAgZs2aBUmSsHz5cowYMaLO58TFxeGjjz7CzZs3sXPnTvTq1QvR0dH4/PPPERUV\nVe/htyeu3cZbezMtTFDdR092Qc/2LRRbn6WUzgXYTzYiIiLRpKSkVLvaciWe2aMmLz8/H9nZ2Zg/\nfz46deqEgQMHyo9VXt2wWbNmtS6v0WiQnJyMKVOmIDo6GrGxscjLy7PZfajydSX45otfFV3ncy/3\ntavOXn1rLbdu3YpVq1Zh6dKl6N69O9q0aQMArLUkIiIiYbFmTyFqGLNrKdGzjRkzBk899RTuuece\n/Oc//4FGo5Efv/sKhwBMLm+LKxya0hTqo+pba7l8+XJ4enpixowZ2L59uzzfnmotRf7cRM4m+j5S\nVMymTqJmEzUXwGy2xjN71OQdPHjQ5GN3X+GwruV5hcPGU99ay8zMTPTp0wdr1qzBpEmTEBISgvvu\nu4+1lkRERCQsdvYUoob7bFiK2dTHnu5p9kd+KW4UlCm2vs49+gIAxo8fj9DQULl2sm3btrU+z93d\nHZGRkRg4cCAGDx6MtLQ0SJKE8PBwBAYG4tKlSzh8+DCeffZZxdpaX/b0uSnNXrIpvT0C/9smRSTq\nPhJgNrUSNZuouQBmszV29ojIqm4UlCl+EZN2LV3qXWs5YMAA7NmzB23atEF6ejpeffVV3H///XZV\na0nWp/T2CPxvmyQiIrI3rNlTiBrG7FqK2dRH5Pqoymz1rbVcsGABjhw5gmHDhmHo0KEICgoCwFrL\nxsJs6iTqPhJgNrUSNZuouQBmszWe2SMiVapvraW/v7/JnTJrLUkE1hii6tbmXkXXR0REjYudPYWo\nYcyupZhNfeylPsoamE2dmM36rDVEVVSi7v8BZlMjUXMBzGZrHMZJREREREQkoDo7ewaDARUVFY3R\nFlVTw5hdSzGb+ohcQ8Rs6lSZ7dChQ+jRowcCAgLwzTff1PqcgwcPonv37njwwQdx4MABeX50dDR8\nfX2xYcMGazbZbE3hcxORqPt/gNnUSNRcALPZWq3DOPfv34+LFy9i9OjRaN++PQAgJycH8fHxcHBw\nQHBwMNq1a1frC5ha3tT85ORk6PV6+Pj4oEsXcYePEBHdzcfZGVcu5iq6zpYeWnh6uym6zoaYMWMG\nFi9eDC8vL4wbNw6hoaFwcan5SpazZs3C0qVLodVqMW3aNKSkpMDFxQVHjhzBvn37sGDBAkRERDRu\nACIiIhWptbM3cuRInDp1ymjesWPHMGHCBADA9u3bMXr06FpfwNTypuY7OTkhKCgIqampFsSxHTWM\n2bUUs6mPvdQQWYPI2VAGfLP5V0VX+dzLfe2is1f5uVVUVMDPzw+enp7QaDSQJMnkc8rLy9GxY0dU\nVFTg9u3bSE5OxqBBg+Dr64vg4GAMGjQIYWFhiImJQUBAQGNFqUbkbVLkbKLu/wFmUyNRcwHMZmv1\nvkCLq6ur/Lezs7PFy5ua7+7ujqSkJPj7+yM5ORkPP/wwHBwc6ttMIiKyQ2PHjsWQIUOg0WgQFhYG\nrVZrctkFCxZg+PDhcHBwQIsWLZCTkwMAmD17Nq5evYrs7GxERkbatKNHRERkz+p9gZaqv8I6OTlZ\nvLyp+a1atUJpaSkyMjLQpUsX1XT01DBm11LM1jjqU8sEAHFxcejduzc6deoknwmvrGXa/P+tt3Zz\nbUbkGqLyinJbN8FqdDod9Ho9Nm3ahNjYWGzZsgUJCQm4ceOGyeeMHz8emZmZOHbsGMrKytC2bVtc\nuHAB4eHhaNGiBQoKCnD48OFGTFEzkbdJkbPZ0/5facymPqLmApjN1urd2at6sZaqNzGu7/I1zTcY\nDMjKykL37t3h4uKC3Ny6a1eqvsmJiYmc5nS9ptPT0+2mPX/729/wwgsvYOPGjZgzZw5++OEHk8tv\n3boVS5YswaRJk5CcnIxevXohMTERe/bswb59+/BjYgKUptPpGpRPabb+vBITExX/h3BFhUHR9VVl\n68+rsLAQ8fHxqKioQMeOHfH7779Do9HI+/kjR47gyJEjRu357rvvcPnyZUybNg1eXl4wGAzo3Lkz\nkpOTUVBQgIkTJyIzMxN5eXk2zyfi9liVPeQTef+v9HR6erpdtYfT3B7tqT0iTtdGI9VWMAHg1KlT\n8PT0lC/Qsm3bNoSFhUGSJOzevRujRo2Sl83IyECzZs0QGBgozzO1fG3rSU1NRa9eveT/mxIfH4/e\nvXvXGpCoNnm5hcjXlSi2voZcDCMwMBBbtmyBp6cnBg0ahNOnT5sc4jZ48GB4enoiKysLb7zxBqZM\nmQIAmDJlCrZt24Y+vfvhxrV8DB8cgdatOlicp6rnXu6LTvd71/t5J67dVvTeXx892QU927dQbH0N\noXS2fw7qgD2bUxRbH2DZ56Z0LuB/n9uaNWuwbNkylJWVYfLkyXjvvfcAAG+//TYAICYmRn5OSEgI\nMjMzMXLkSCxatAje3v/LsWPHDsycORNDhw7FunXrzG6HNbPZmsjZiIjItJSUFAwbNqzGxxxre+L3\n33+PixcvQqvVws/PD0OGDEH//v0RFxcHSZLw+OOPGy1/9OhRaDQao86eqeVrW4+bmxuSkpJMXqGN\nSCn5uhJ884VyF8RoyMUw6lPLlJmZiT59+mDNmjWYNGkSQkJCcN9998m1TNeuXUOfbs8o1tEjUsrU\nqVMxderUavOrdvIqHTx40OR6QkNDERoaqmjbiIiIRFNrZ+/uThgAtG/fHuPHj69x+VdeecXs5Wtb\nj7+/P/z9/Wtrmt1JTExUxRV5LCFyNnupR6lay+Th4YFXXnkFN27cQJs2bWpc3t3dHZGRkRg4cCAG\nDx6MtLQ0SJKE8PBwBAYGorAgE5ezMxDY5ZFGTmJ9Op0OEPRMg+g1e6J+bsymTiIf25hNfUTNBTCb\nrdW7Zo+IlFdUVCTXMrVp0wZarVauZTIYDDAYjGu5BgwYgD179uD8+fNIT09Hhw4dcP/99yM5OfnO\nPclem4Vc3R8oLi2wRRwiIiIisgPs7CnE3nv1DSFyNnu5h5SHhwfmzZuHcePG4YknnkB4eDi6desG\nAIiMjERkZKTR8gsWLMCRI0cwbNgwDB06FEFBQQAArVaLMWPGYMXKJXB39URzF/dGz2Jt9vKZWYOj\nQ62DLVRN5M+N2dRJ5GMbs6mPqLkAZrM1cf9lQaQy9all8vf3N3n1pdDQUDz80GBFaxHtiXuFAVcu\n1n2l3vpoyIV1iIiIiOwVO3sKUcOYXUuJnM1eavaUJmouACjSFeLAV2mKrrMhF9ZREmv21InZ1Enk\nYxuzqY+ouQBmszUO4yQiIiIiIhIQO3sKsfdefUOInE3UehRRcwFi17WJnE3kbZLZ1EnkYxuzqY+o\nuQBmszV29oiIiIiIiATEzp5CTF0sQwQiZxO1tk3UXIDYdW0iZxN5m2Q2dRL52MZs6iNqLoDZbI2d\nPSIiIiIiIgGxs6cQNYzZtZTI2UStRxE1FyB2XZvI2UTeJplNnUQ+tjGb+oiaC2A2W2Nnj4iIiIiI\nSEDi/ozcyNRwnw1LiZxN1HoUUXMBYte1iZzNubgYVy6WKbrOlh5au7g/osj3ohM5m8jHNmZTH1Fz\nAcxma+zsERGR1ZUXl+Obr1IUXedzL/e1i84eERGRveIwToXYe6++IUTOJmo9iqi5ALHr2phNnUT+\nvomcTeRjG7Opj6i5AGazNXb2iIiIiIiIBCTuT62NTA1jdi0lcjZ7qW37I78UNwqUq2dyKipVbF32\nRuS6NmZTJ5Hr2kTOJvKxjdnUR9RcALPZGjt7RHbgRkEZ3tqbqdj6lg24R7F1EREREZE6cRinQuy9\nV98Q9pItKSkJ3t7eRv9lZ2ebXD4tLQ19+/ZF165dceDAAXl+dHQ0fH19sWHDBmHrUUSuj2I2dRI5\nm6j7EUDsbPZybLMGZlMfUXMBzGZr7OyRanTp0gVRUVE4c+YMkpKS4ObmBh8fH5PLz5gxA9OmTcOq\nVaswa9YsVFRUAACOHDmCffv2Yc+ePY3VdCIiIiKiRsfOnkISExNt3QSrsZds99xzD15//XX4+Pgg\nNTUVQ4YMgYuLS43L5uXlISsrCxEREQgJCYGPjw9OnjwJAPD19UVwcDD0ej1emjIBN//7e2PGaBQi\n10cxmzqJnM1ean+tQeRs9nJsswZmUx9RcwHMZmvijqshoe3btw8jR440+Xh+fj5atmwpT3t4eKCg\noAAAMHv2bFy9ehXZ2dmY+NeXob/ZwertJSIiIiJqbDyzpxA1jNm1lL1lKysrw+HDh2vt7Lm7uxv9\nIq3T6eDh4YELFy4gPDwcLVq0QEFBAdIyUhujyY1O5PooZlMnkbOJXNcmcjZ7O7YpidnUR9RcALPZ\nGjt7pDo//vgjAgIC0Lp1a3mewWCAwWCQp728vODn54fY2Fjs378fN2/eREBAADp37ozk5GRotVpE\nR0cjK+siiksLbBGDiIiIiMiq2NlTiBrG7FrK3rJduHABY8aMMZoXGRmJyMhIo3nLli3DihUrMGfO\nHKxcuRKOjnfOLGi1WowZMwZvvvkmPD1aobmLe6O1vbGIXB/FbOokcjaR69pEzmZvxzYlMZv6iJoL\nYDZbY2ePVGfKlCmYMmWK0byYmBjExMQYzevduzfS0tKQlpaGYcOGGT0WGhqKS5cuYcG7/7B6e4mo\naYiLi0Pv3r3RqVMnpKbWPkS8Z8+e8i1knnvuOXl+1VvDEBERNRQ7ewpRw5hdS4mcTdR6FJHro5hN\nnUTO5uHhga1bt2LVqlVYunQpkpOT0atXr1qfo9FoEB8fj9OnT2Pz5s3yfHu7NYyo+0hA7GMbs6mP\nqLkAZrM1dvaIiIgaaPny5fD09MSMGTOwfft2s54zfvx4PProo9ixY4c8r+qtYcLCwnD27FlrNZmI\niJoAdvYUooYxu5YSOZuo9Sgi10cxmzqJnE2n0yEzMxOSJGHNmjVYtmwZLl26VOtzpk+fjtjYWGzc\nuBGRkZHyvmj27NkICgq6c2uYiRMREBDQGBFMEnUfCYh9bGM29RE1F8BstsbOHhERUQO5u7sjMjIS\nAwcOxODBg5GWllbr8pMnT8YjjzyCAQMG4L777sPFixer3Rrm8OHDjdR6IiISFTt7ClHDmF1LiZxN\n1HoUkeujmE2dRM7m4eGBAQMGYM+ePTh//jzS09PRoUMH+fG7bw2Tnp6OtWvX4sqVK0hKSsLly5fh\n6+tb7dYwmZmZyMvLs0Ukmaj7SEDsYxuzqY+ouQBmszV29oiIiBpowYIFOHLkCIYNG4ahQ4ciKChI\nfuzuW8O0bNkSO3fuxMCBAzFt2jQsWrQIXl5eAIxvDdO2bVt4eno2ehYiIhIHO3sKUcOYXUuJnE3U\nehSR66OYTZ1EzqbT6eDv74/ExERcuXKl2m1g7r41jK+vL3bt2oXs7GykpqZi7NixRstX3hpm3bp1\njdL+2oi6jwTEPrYxm/qImgtgNltjZ4+IiIiIiEhA7OwpRA1jdi0lcjZR61FEro9iNnUSOZuo+xFA\n7GwiH9uYTX1EzQUwm62xs0dERERERCQgdvYUooYxu5YSOZuo9Sgi10cxmzqJnE3U/QggdjaRj23M\npj6i5gKYzdbY2SMiIiK717NnT3h7e8Pb2xvPPfecyeWSkpLk5Sr/y87OBgBER0fD19cXGzZsaKRW\nExHZFjt7ClHDmF1LiZxN1HoUkeujmE2dRM4m6n4EsK9sGo0G8fHxOH36NDZv3mxyuS5duiAqKgpn\nzpxBUlIS3Nzc4OPjAwA4cuQI9u3bhz179gh9bGM29RE1F8Bstibu0ZeE80d+KW4UlCm6TrdySdH1\nERGR9YwfPx4GgwELFy40eXbvnnvuweuvvw4AiI+Px5AhQ+Di4gLgzm0vgoODMWjQIISFhSEmJgYB\nAQGN1n4iosbGzp5CEhMTVdG7t4S9ZLtRUIa39mYqus5lA+5RdH32QuT6KGZTJ5Gz6XQ6oH0LWzfD\nKuwp2/Tp09GtWzdoNBo8//zzGD58eJ03nd+3bx9GjhwpT8+ePRtXr15FdnY2xowZI2xHz16O29Yg\nanlcCIgAACAASURBVDZRcwHMZmscxklERES1MrdertKvv/4Kb29vxMXFyfMaWi83efJkPPLIIxgw\nYADuu+8+XLp0qdbly8rKcPjwYbmzd+HCBYSHh6NFixYoKCjAiRMnLGoHEZGasLOnEHvv1TeEyNlE\nrSMSNRfAbGolcjZ7qmtTWmU2c+vlKr3zzjvw8vKCRqOR51Wtl6uv9PR0rF27FleuXEFSUhIuX74M\nX19fAIDBYIDBYKj2nB9//BEBAQFo3bo1AKBz585ITk6GVqtFdHQ0bt++jby8vHq3RQ1EPm6Lmk3U\nXACz2Ro7e0RERFSn8ePH49FHH8WOHTtqXW7r1q0oLy/H8OHDIUn/q4uurJfT6/UICwvD2bNnzX7t\nli1bYufOnRg4cCCmTZuGRYsWwcvLCwAQGRmJyMjIas+5cOECxowZYzRPq9VizJgxePPNN9G2bds6\nh4ESEakdO3sKUcN9NiwlcjZR64hEzQUwm1qJnE3ke9FVZps+fTpiY2OxceNGREZGmjwjVlpaioUL\nF2LRokXVHps9ezaCgoKQnZ2NiRMn1qteztfXF7t27UJ2djZSU1MxduxY+bGYmBjExMRUe86UKVMw\nZcqUavNDQ0Nx6dIlTJo0yezXVxuRj9uiZhM1F8BstibuuBoiIqJG4OPsjCsXcxVdZ0sPLTy93RRd\nZ0NMnjxZ/ruyXu7hhx+utlxCQgKuXLmCcePGobS0FMePH8f48ePlernAwEBcunQJhw8fxrPPPtuY\nEYiImiR29hRiT2N2e/bsKd9AdtiwYfjmm29MLpuWloaXXnoJOp0On3zyCUaMGAHgTiH9559/jqio\nKERERDRGs21C1DoiUXMBzKZWImdDGfDN5l8VXeVzL/e1i86eh4cH0tPT8fPPP2PEiBG4evVqtXo5\nAGjW7M5AoUcffRTHjx+HXq/H/Pnz5WNKZb3clClTEB0djdjYWOTl5dl0GKU9HbeVxmzqI2ougNls\njcM4BVSfQvoZM2Zg2rRpWLVqFWbNmoWKigoADSukJyIicdSnXs7V1RV+fn7YvHkzvv/+e3z22Wfy\nY6yXIyJqfOzsKcTexuyaU0ifl5eHrKwsREREICQkBD4+Pjh58iQA40L6v/zlL/UqpFcTUeuIRM0F\nMJtaMZs66XQ6i+rlPvjgA+Tm5uLYsWNG8yvr5datW2f1ttfF3o7bSmI29RE1F8BstsbOnoDMLaTP\nz89Hy5Yt5WkPDw8UFBQAMC6kHz58uFxIX9O9k2py6NAh9OjRAwEBAUbDSBt6nyUiIiIiIjIPO3sK\nsacxu+beeNbd3d3oKnI6nQ4eHh7Vbjybk5MjL1PTvZNqMmPGDMTExGDjxo2YM2cOSktLAdjf8FBR\n64hEzQUwm1oxmzqJfA9BezpuK43Z1EfUXACz2Ro7e4Kpz41nvby84Ofnh9jYWOzfvx83b95EQEBA\ntRvPZmZmIi8vz+S9k2pSUVEBPz8/dOrUCRqNRl6+IfdZIiIiIiIi87GzpxB7GbNb3xvPLlu2DCtW\nrMCcOXOwcuVKODre+YW6aiG9o6MjmjdvbvLeSTUZO3YshgwZgp49eyIkJARarRZAw+6zZA2i1tqI\nmgtgNrViNnUS+R6C9nLctgZmUx9RcwHMZmvijj1poioL6WtSUxF97969kZaWVuPyoaGhCA0NRWJi\nosl7J9VEr9dj06ZNiI2NhYeHB1555RX8+eefyM/P532WiIiIiIgaCc/sKUQNY3YtNXjwYPneSfHx\n8XjssccwZcoU+fG7h4cWFRWhoqICHTt2RJs2baDVanHz5k2Tw0NtSdRaG1FzAcymVsymTqzZUydm\nUx9RcwHMZmvs7JFZart30t3DQz08PDBv3jyMGzcOTzzxBMLDw9GtWzcAvM8SEREREVFjYWdPIWoY\ns2upqtlqundSTfdZmjp1Ks6dO4fLly/jvffeM3rMnu6zJGqtjai5AGZTK2ZTJ9bsqROzqY+ouQBm\nszVxx54QERGREP7IL8WNgjJF1+nW5l5F10dEZI/Y2VOIGsbsWkrkbKLW2oiaC2A2tWI2dbKXmr0b\nBWV4a2+mouv86Mkuiq7Pnoh83BY1m6i5AGazNQ7jJCIiIiIiEhA7ewpRw5hdS4mcTdRaG1FzAcym\nVsymTiLX7ImcTeTjtqjZRM0FMJutsbNHREREREQkIHELDRqZGsbsWkrkbKLW2oiaC2A2tWI2derg\n3gJXLuYqtr6WHlp4ersptr6GsJd6RGsQ+bgtajZRcwHMZmsWHaF27dqFiooKAEDnzp3x0EMP1bp8\nTk4O4uPj4eDggODgYLRr167W+cnJydDr9fDx8UGXLuIWUBMREdmzsoJSbNucotj6nnu5r9109oiI\nmgKLhnFqtVqMHj0ao0ePrrOjBwDHjh3DhAkTMG7cOPzyyy91zndycsIjjzyCgoICS5pnE2oYs2sp\nkbOJWmsjai6A2dSK2dRJ5Gys2VMnUbOJmgtgNluzqLNXUVGBrVu34ttvv0VKSt2/+Lm6usp/Ozs7\n1znf3d0dSUlJaN++PZKTk+WziERERERERGQei4Zxjhw5Uv573759dS4vSZL8t5OTU53zW7Vqhays\nLGRkZKB3795wcHCwpJmNyl7G7FrjxrOde/RVdH32RNRaG1FzAcymVsymTiJnY82eOomaTdRcALPZ\nWoP34lU7aaZUPTOn0WhqnW8wGJCVlYXu3bvj/PnzyM3Nhaenp8l1JyYmym905anUpjxt8PbDoqQ/\nTb5flvjoyS5o19LF5vmsMeRG6SFKd9roDaD++eydTqdDYuLpen9+Le7v2dhNtYil3zclWXPInK23\nR2tks+T7ppbt0ZLvm9LbozXZw/5fp9MB7VtY1B5Oc5rTnLan6aqjJe+mkaqeXjNTVlYWfH19AQC7\nd+/G008/LT+WkZGBZs2aITAwUJ63bds2hIWFQZIk7N69G6NGjap1PgCkpqaiV69e8v9rEh8fj969\ne9e3+VZRtdNpSyeu3cZbezMVXef8QT4Y0q2jouu0hDWyLRtwDw58labY+p57uS863e9d7+cpnU3p\nXACz1UTUbGr4rgHMdjc1ZLOX7xpgP8c2a7CXf5NYg6jZRM0FMFtjSElJwbBhw2p8zKIze1lZWTh2\n7BgAVOuIHT16FBqNxqiz179/f8TFxeH/b+/ug6I6z/eBX4sBtuACBcU3OlAFUZRqa4zthICjqJja\nIMKosaGTibaZjmNDmfx0QtM/onGGTsdOWyczmTRJNfQbp4lTjVYhBRuXkfEFMRRIGhXlRYqAiAsi\n8pLd/f3h7AaUF3f3LGefm+sz4wTOHo/PlYeFc7PP/azdbkdqauqYxwEgODgYZWVlCAwMdGeIpKGp\nAQFit94mIiIiIpLKrWIvOTl5xMd+/vOfP3Js5syZeP755x/7OADExcUhLi7OneHpwheqeq/pBz4q\nKNfscr609bbUfhSpuQBmUxWzqUlyNvbsqUlqNqm5AGbTm1u7cRIREREREZFvY7GnEUezpESS32dJ\najapuQBmUxWzqUlyNr7PnpqkZpOaC2A2vbHYIyIiIiIiEojFnkZUWLPrLsk9G1KzSc0FMJuqmE1N\nkrOxZ09NUrNJzQUwm95Y7BEREREREQnEYk8jKqzZdZfkng2p2aTmAphNVcymJsnZ2LOnJqnZpOYC\nmE1vLPaIiIiIiIgEYrGnERXW7LpLcs+G1GxScwHMpipmU5PkbOzZU5PUbFJzAcymNxZ7RERERERE\nArHY04gKa3bdJblnQ2o2qbkAZlMVs6lJcjb27KlJajapuQBm0xuLPSIiIiIiIoFY7GlEhTW77pLc\nsyE1m9RcALOpitnUJDkbe/bUJDWb1FwAs+mNxR4RERGRjvbs2YOYmBgsXboUZ8+eHfP88vJyRERE\n4NChQ85je/fuRXR0NA4cOODFkRKRaljsaUSFNbvuktyzITWb1FwAs6mK2dQkOZujZ8+VQuutt97C\n/PnzMXfuXM0KrbNnz+LIkSM4efIkdu3ahR07doz5d37zm98gPDwcBoPBeay0tBSFhYU4ceKE6HsS\nqdmk5gKYTW8s9oiIiGhCcrXQ+uyzz/DXv/4VH3zwAV577TX09/cDGFpouWrhwoX4+9//joSEBCxY\nsAB3794d9fx//OMf+Prrr7F69WrY7Xbn8ejoaKSkpGBgYAC//e1vcfnyZZfHQkTysNjTiAprdt0l\nuWdDajapuQBmUxWzqUlyttDQUJcLrcOHD+OHP/whYmJiYLPZMDAwAGBooZWRkeFSoWUymRAXF4em\npiZs2bIFO3fuHPHcvr4+7NmzB2+++eYjj+Xm5uLJJ59EU1MTduzYgfj4+Mcegy8ZGBhAe3v7iI9L\nvd+SmgtgNr2x2CMiIqIJyZVCyyEnJweLFi3C8uXLERwcDGBooZWdne1yoVVbW4sf//jHeOGFF7B1\n69YRzzt9+jQaGxuxefNmHD58GH/6058AANeuXUNWVhZMJhO6u7thNptd+ve96XGXyXZ1deHFF19E\nbGws3nvvvSGPsR+RyH0s9jSiwppdd0nu2ZCaTWougNlUxWxqkpzN0bP3uIWWw+7du/Hhhx/i888/\nx5dffulxoVVVVYVnn30WGRkZyM7ORldXl/Mxm80Gm83m/PyZZ55BRUUFTp06heXLl+MXv/gFAGDO\nnDm4ePEijEYj9u7di4qKClgsFpfG4Q2uLJMNCAhAcnIyfvKTnzzy2EToR5SaC2A2vbHYIyIiognJ\nlUKru7sbxcXF6OrqwowZMxAeHo7//e9/jxRatbW1LhVahYWFuH37Nvbv34/58+dj4cKFzsfy8vKQ\nl5fn/DwoKAgxMTEoKChASUkJ3n77bedjRqMRmZmZePXVVxEREYGwsDB3/7doxpVlskajES+99BK+\n853vPPIY+xGJ3Cd3Mf44U2HNrrsk92xIzSY1F8BsqmI2NUnOFhoaisKC/3MWWvv370dwcDAaGxsB\nwFlk5efnA3jwSuDvfvc7fPnllwgMDMT69euxcuVKAN8UWjk5OVixYoVLhdauXbuwa9euYR9z/NsP\n2717N3bv3v3I8fT0dKSnpz/2v+1tJpMJJpPJpWWyw8nNzcWNGzfQ1NSEvLw8ZfsRRyP5PpLZ9CX3\nuzgRERHRKFwptGbNmoWSkpIRr+VrhZavqK2tRWZmJn72s5891jLZhzmWySYkJKCurg5msxkbNmzw\nwkiJZOIyTo2osGbXXZJ7NqRmk5oLYDZVMZuaJGdz9OxJ5Cv3JK4skwUezEl3dzfu3bvnPNdX+xG1\n5itz5g3Mpi++skdEREREmhvcjzjWMtnbt29j8eLF6OnpAQAcOHAAlZWVCA8PH7JM9nvf+55P9CMS\nqYLFnkZUWLPrLsk9G1KzSc0FMJuqmE1NkrOFhobqPQSv8ZV7EleWyUZERODGjRsjXkv6MllfmTNv\nYDZ9cRknERERERGRQCz2NKLCml13Se7ZkJpNai6A2VTFbGqSnI09e2qSmk1qLoDZ9MZij4iIiIiI\nSCAWexpRYc2uuyT3bEjNJjUXwGyqYjY1Sc7Gnj01Sc0mNRfAbHpjsUdERERERCQQiz2NqLBm112S\nezakZpOaC2A2VTGbmiRnY8+emqRmk5oLYDa9sdgjIiIiIiISiMWeRlRYs+suyT0bUrNJzQUwm6qY\nTU2Ss7FnT01Ss0nNBTCb3uR+FyciIiLycTe7+tDW3a/pNSMnB2BGSKCm1yQiNbHY08iZM2eUqO7d\nIblnQ2o2qbkAZlMVs6lJcraA+/fReF27Iisk1IiwiGCX/15bdz/+38lazcYBAK8/PRUzQqI0vaav\nkHq/JTUXwGx6Y7FHREREE87X97/GRx9e0ux6G7ctdavY86aqqips3boVnZ2d2L9/P9asWTPiuf/+\n97+Rk5ODvr4+7NmzBxs3bgQA7N27F++88w7eeOMNvPjii+M0ciLSCnv2NOLrVb0nJPdsSM0mNRfA\nbKpiNjUxm5oc/YivvPIKtm/fjrfeegu//vWvYbVaR/w7r7zyCvLz83Hw4EHs3LkTfX19AIDS0lIU\nFhbixIkT4zL2sUi935KaC2A2vcn9TkdEREQ0QVksFjQ0NDhfjZs6dSpqamqwaNGiYc+3Wq2IiYlB\nWFgYDAYD7HY7ACA6OhopKSl4+umnkZGRgfz8fMTHxz/WGNiPSKQ/FnsaUWHNrrsk92xIzSY1F8Bs\nqmI2NTGbmjo7O9H1tQ0hISHOY6Ghobh3796If2fTpk1ITk6GwWBARkYGjEYjACA3Nxc3btxAU1MT\n8vLyHrvQA9iP6ArJ95HMpi8u4yQiIiISZvLkyUPeOL6zs3PEt5sYGBjABx98gPfffx+HDx/G6dOn\ncevWLVy7dg1ZWVkwmUzo7u6G2Wwer+GPqaqqCkuXLsXcuXPx6aefjnruokWLEBERgYiICGcvIvCg\nHzE6OhoHDhzw8miJ9MNiTyO+XtV7QnJfg9RsUnMBzKYqZlMTs6kpNDQU4eHhiImJwfvvv4+ioiK0\nt7c7X5Wz2Wyw2WzO83t6emC1WhEVFYXIyEgYjUa0t7djzpw5uHjxIoxGI/bu3Yva2lpYLBa9YgFw\nrx/RYDDg1KlT+O9//4uCggLncV/qR5R8H8ls+mKxR0RERCTQvn378Mc//hE7d+7En//8ZzzxxIMC\nNy8vD3l5ec7zQkND8dprr2Hz5s1Yu3YtsrKyMH/+fACA0WhEZmYmXn31VUyfPh1hYWG6ZBlscD/i\nqlWrnP2Io3n++efxzDPP4JNPPnEec/QjDgwMICMjA5cvX/b20InGndxfa40zFdbsuktyX4PUbFJz\nAcymKmZTE7OpqbOzE5hpwg9+8ANUVVU98nh+fv4jx15++WW8/PLLw14vPT0d6enpmo/THe70I/7q\nV7/C/PnzYTAY8MILL2DNmjUIDQ31qB9Ra5LvI5lNXyz2iIiIiEgZrvQjAsBLL73k/Pi73/0url+/\njpCQEGRlZSEhIQF1dXUwm83YsGGDV8dNpAcu49SIr1f1npDc1yA1m9RcALOpitnUxGxqGq3wUZ2r\n/YjV1dX4y1/+gsbGRpSVlaG+vh7R0dE+148o+T6S2fQl9zsdEREREYm0b98+53sIPtyPCHyzVDUk\nJATHjh3DG2+8gSlTpuDNN99EeHg4gG/6EXNycrBixQqf6Eck0tqEfWXPlS17Rzp38Ja9Z86c8cp1\nfYHkvgap2aTmAphNVcymJmZT0+AljtI4sjn6EauqqrBy5Urn4/n5+UN6EqOjo3H8+HE0NTWhsrIS\nmzZtGnK99PR01NXV4b333nN5LFre873++uteua4v3Es67pEBZhvrXG9km7DFnitb9o507nBb9nrr\nukRERETkO7S85zt37pxXrutr95LMNvq53sg2IYs9V7bsHe7cL774AsDQLXv37duH8vJyza/rC1sB\nS+5rkJpNai6A2VTFbGpiNjVJ79nzBVrfS06ePBkZGRki7yUdfW3euP9mtrFNyGKvq6vrsbfsHe7c\n7u5uAEBubi6efPJJNDU1ITs7G9OmTfPKdfXcCpiIiIiIhuK9pOu89f+M2UY3IYs9V7bsHenca9eu\nISsrCyaTCd3d3fjoo4+8cl2z2expXI9J7muQmk1qLoDZVMVsamI2NU2Enj29aX3P19HRAbPZLPJe\n0tHXxmwY9VxvZZuQxZ4rW/aOdO7DW/Y2NTXBz89P8+vqvRUwEREREQ2l9b3k1q1bUVtbK/pe0hv3\n38w2NrkL1sfwuFv2jnbucFv2euu6epLc1yA1m9RcALOpitnUxGxq8pW+Nm/wpWy8l3w8g9+LjtlG\nP9cb2eR+pxuDY8vehw2eiLHOBR5s2Zuenu716xIRERGR7+C9pOuYbfRzAe2zTchlnN4w+H02pJHc\n1yA1m9RcALOpitnUxGxq8pW+Nm+Qmk3yfSSz6YvFHhERERERkUATdhmn1gav2ZVGcl+D1GxScwHM\npipmUxOzqWnWZBMar9/W7HohoUaERQRrdj1P+FLPnpYk30cym77kfqcjIiIimoD6u/twpOCSZtfb\nuG2pzxR7ROQaLuPUiAprdt0lua9BajapuQBmUxWzqYnZ1CQ5G3v21MNs+uIre0RERESkhKkBAWKX\nqBJ5A4s9jaiwZtddkvsapGaTmgtgNlUxm5qYTU2Ss6Ef+KigXLPL+coSVcn3kcymLy7jJCIiIiIi\nEojFnkZUWLPrLslr/6Vmk5oLYDZVMZuamE1NzKYeyfeRzKYvt17nb2lpwalTpzBp0iSkpKRgxowZ\nLp870vGLFy9iYGAAU6dORWxsrDvDIyIiIiIimvDcemXvwoUL+OlPf4rNmzfj/Pnzbp070nF/f3/8\n6Ec/Qnd3tztD040Ka3bdJXntv9RsUnMBzKYqZlMTs6mJ2dQj+T6S2fTlVrEXFBTk/DggIMCtc0c6\nPnnyZJSVlWHmzJm4ePEirFarO0MkIiIiIiKa0Nwq9ux2u/Njf39/t84d6fi3v/1t9PX1oaamBrGx\nsZg0aZI7Qxx3KqzZdZfU9fGA3GxScwHMpipmUxOzqYnZ1CP5PpLZ9GWwD666HlNRURHS0tIAACUl\nJUhNTXX53OGO22w2/Oc//8GsWbNw9epVTJ8+HXPmzBnx2hUVFbBYLK4On4iIiIiISISwsDAsWbJk\n2MfcWvh8//59AA9enXN8DAA1NTXw8/NDQkLCmOcOd9zPzw/f//73UVlZiaeffhqVlZWjjmOkUERE\nRERERBOdW8XesmXLcOjQIdjt9iGv6p09exYGg2FIsTfSuSMdB4Dg4GCUlZUhMDDQneERERERERFN\neG4t4yQiIiIiIiLfxjdVJyIiIiIiEojFHhERERERkUAs9oiE6O/vx507d9Df36/3UMgFnDf1cM7U\nxHkjGj98vvkOtzZoIdn6+/tx7949BAcHD3nDe5U1NzcP+bympgYLFy5ETU0NVq9erdOotHH9+nU0\nNzejsrISc+fORU9PD7q7u7Fx40bl54/zpiap88Y5U5PkeZsIeE+ilon0fOvq6kJISIjewxgTX9lz\nUXV1NQDg0qVLKCwsRElJCf75z3/i6tWrOo/Mc9evX8eZM2fwzjvvoLy8HCdPnsTf/vY3Eb+VOXjw\nIFpaWmCxWGCxWFBfX+/8r+qqq6uRlJSEX/7yl+ju7sb69euxbt06HD16VO+heYzzpiap88Y5U5Pk\neWtubh7y51//+pfzv6rjPYmaJD/fHvbZZ5/pPYTHwmLPRdeuXQMA1NXVYe3atUhNTcW6devGfE9A\nFUh+gubk5KCtrQ3t7e2YN28eIiMjkZCQgKysLL2H5jHH+1T29/c7f2sWFhYGg8Gg57A0wXlTk9R5\n45ypSfK8sWhQE59v6rJYLM5frnR2dqK5uRktLS16D2tUXMbpJilftINJfoJ+61vfQlpaGu7cuYMT\nJ06gvb0dABAeHq7zyDy3YsUKfPrppwgMDERaWprz+Lx583QclTY4b2qSOm+cMzVJnrecnByYzWYE\nBQUhKSkJV65cQUJCAqZPn6730DzGexI1SX6+AcDdu3dx9+5dAEBvby8sFgv8/Px8+jnH99lz0fHj\nx2E0GmG1Wp1fxA0NDWhoaEBycrLOo/NMW1sbPv/8cwQGBiIpKQlPPPHgdwHV1dVITEzUeXREREQ0\nnDt37uDMmTNobW3Ftm3b9B6OJnhPQr7u6NGjWL9+vd7DGBOLPSIiIiIiIhe0tbUhMjJS72GMicUe\nTQhNTU2oqqoCADz11FOYMmUKAKCgoADZ2dl6Ds1jkrNVVFTg9u3biI2NRXl5OUwmE+x2OxYsWICY\nmBi9h+cRydmk7jQnNRfwzaslly5dQmtrK/z9/dHb24v4+HjExcXpPTyPSM42eImjzWZDR0cHQkND\n4e/vr/PIPCc527vvvouoqChnr57RaNR7SJqRnE1V7NnTSGlpqfLLOEciIdu5c+ecjc/FxcWIi4tD\nTEwMTCaTziPznORsjY2NyMjIwL59+7B9+3bnD43Dhw8rXxBJznbw4EGsWbPGmam+vh5RUVHKbxoh\nNRfwYPOxxMRE1NXVITMz03n8448/Vr4gkpytqKgIzz33HK5cuYKrV69i1qxZqK6uhr+/P5KSkvQe\nnkckZ5syZQrS0tLQ1taGc+fOobe3F35+foiNjcXs2bP1Hp5HJGe7efMmzp8/j4CAAPj7+8NgMOD+\n/ftYtmyZT7/Cx2LPBVarFa2trcM+Vl9fr3RBJDkbAPj5fbPx7KpVq2A2m9Hb26vjiLQjOZtDZmam\n2N8OSswmddMIqbkGk7D5xUgkZuvr6wPw4FXmDRs2OI8fOXJEryFpRnI2h8jISGeRYLPZ0NjYqPOI\ntCMxm9lsxubNm4ccs9vtOHToELZs2aLTqMbGt15wgcFgwNGjR51bHA/+o/rNteRsABAfH4/S0lLn\n5ykpKbh16xa++uorHUelDcnZpk2bBgBDXunq6OhAYGCgTiPSjuRsjp3mEhMTRe00JzUXAEyaNAnF\nxcUICgpyHmtoaHB+napMcrYlS5agrKwMs2fPxunTp2Gz2VBbWwur1ar30DwmOdvVq1cfubfy8/NT\nflUHIDvbcF97BoPB53+RxJ49FxUVFQ3ZStahpKQEqampOoxIO5KzjUSV5lp3SM5GREQPWCwWVFZW\noq2tDQAwd+5cLF68WOdRaUNyNlJPS0sLLly4gKCgINjtdlitVucyzpkzZ+o9vBGx2KMJp6enZ8hv\neCVhNjUxm3qk5gKYjWg8Sf6alJxNJVzG6YGenh69h+A1krO9/fbbeg/Ba5hNTcymHqm5AGZTleSf\n25KzSf6alJbtxo0bOHnyJE6cOIHm5mYcO3YMhYWFuHz5st5DGxWLPQ9I+yIeTHI2IiIiaST/3Jac\njdRx9uxZPPvss0hLS0NBQQHWrVuHtWvX4osvvtB7aKNisUdERERERDQKx+7njg1ZBu+G7sv41gtE\nRERERESjWLJkCQoLC2G1WrFp0yZ88sknCAgIQEJCgt5DGxU3aPHAH/7wB+Tm5uo9DK+QnE1yuMxx\naQAABFFJREFUwzCzqYnZ1CM1F8BsqpL8c1tyNslfk5KzqYTFngckfxFLzkZERCSN5J/bkrMReRuL\nPRfdvHkT58+fR0BAAPz9/WEwGJzvsaH6e5r19/cjICAAAGCz2dDR0YHQ0FD4+/vrPDLPSZ636upq\nJCYm4tKlS2htbYW/vz96e3sRHx+PuLg4vYfnEc6bmqTOG+dMTZLnjdTE5xuNJ/bsuchsNmPz5s1D\njtntdhw6dAhbtmzRaVTaKCoqwnPPPYcrV67g6tWrmDVrFqqrq+Hv74+kpCS9h+cRyfN27do1JCYm\noq6uDpmZmc7jH3/8sfLfWDlvapI6b5wzNUmeNxYNauLzjcYTiz0XWa3WR44ZDAbnzjwq6+vrAwDU\n1NRgw4YNzuNHjhzRa0iakTxvDpKyOHDe1CR93qTkGEz6nAEy541Fg5r4fKPxxGLPRStXrsSxY8cQ\nFBQEu90Oq9WK+/fvIyUlRe+heWzJkiUoKyvD7Nmzcfr0aSQnJ+P69evDflNSjeR5mzRpEoqLi4f0\nMzQ0NGDatGk6jkobnDc1SZ03zpmaJM8biwY18flG44k9ezSExWJBZWUl2traAABz587F4sWLdR4V\nERERPaylpQUXLlx4pGhYtmwZZs6cqffwPHL8+HEYjUZYrVakpaUBeFA0NDQ0IDk5WefREamDxR5N\nCE1NTaiqqgIAPPXUU5gyZQoAoKCgANnZ2XoOzWOSs1VUVOD27duIjY1FeXk5TCYT7HY7FixYgJiY\nGL2H5xHJ2YhofEjeWE1yNqLxxGWcNKbS0lLlf4t27tw5ZGVlAQCKi4sRFxeHmJgYmEwmnUfmOcnZ\nGhsbkZGRgX379mH79u0wGo0AgMOHDytfEEnO1tzcPOTzmpoaLFy4EDU1NVi9erVOo/Kc1FyA7M0w\nJGeTvLGa5GzvvvsuoqKiEBkZiYSEBOf3fwkkZ1MViz0C8GDdf2tr67CP1dfXK1/s+fn5OT9etWoV\nzGYzent7dRyRdiRnc8jMzBT7A0NitoMHD2LNmjXOXPX19YiKikJ9fb2+A/OQ1FyA7M0wJGeTvLGa\n5GxTpkxBWloa2tracO7cOfT29sLPzw+xsbGYPXu23sPziORsqvIb+xSaCAwGA44ePQqLxfLIHwmF\nQ3x8PEpLS52fp6Sk4NatW/jqq690HJU2JGdzNHQPfqWro6MDgYGBOo1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"text": [ "" ] } ], "prompt_number": 27 }, { "cell_type": "markdown", "metadata": {}, "source": [ "For males, the percentage of CM qualifiers seems to peak at between **20-24 and 25-29 and is relatively steady until after 40-44**. Qualifying for guaranteed entry for a male over 50 would seem to be pretty hard.\n", "\n", "For females, the story is a little different. The groups with the largest percentage of qualifiers are between **30 and 44** and the percentages don't drop off until the 55-59 age group. Females would seem to have an advantage in qualifying over men in the older age groups.\n", "\n", "Indeed, the only age groups where males have a higher qualifying percentage than females are 20-24 and 25-29. **In every other age group, females have a higher qualifying percentage, sometimes by a huge margin.**\n", "\n", "This is in stark contrast to the BQ percentages, where the male/female differences are seldom more than percentage point different. The data here would seem to suggest that Chicago Marathon qualifying times are biased towards women and biased against increasing age.\n", "\n", "*My personal opinion is that the qualifying times for guaranteed entry should be age-adjusted and the easiest way is just to adopt BQ standards*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print \"M: \" + str(len(results[(results.gender == 'M') & (results.finish_seconds <= timestring_to_seconds('3:15:00'))].index)/float(len(results[results.gender == 'M'])))\n", "print \"W: \" + str(len(results[(results.gender == 'W') & (results.finish_seconds <= timestring_to_seconds('3:45:00'))].index)/float(len(results[results.gender == 'W'])))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "M: 0.0837211466865\n", "W: 0.0958321356712\n" ] } ], "prompt_number": 28 }, { "cell_type": "markdown", "metadata": {}, "source": [ "On the whole, **8.4%** of men and **9.6%** of women who ran in 2013 would qualify for 2014. (Note that this is similar to the percentage of BQ qualifiers in the **40-44** age group, which coincidentally, has the same 3:15/3:45 qualifying times as the CM)" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Positive/Negative splits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A positive split is where a runner takes longer to finish the second half of a course than the first half. Conversely, a negative split is where the latter half of the course is completed in *less* time than the first half. Many runners consider running an even or negative-split race to be a hallmark of a good race strategy, as it seems to indicate that one didn't go out too fast and \"crash\" at the end.\n", "\n", "The next set of calculations will be in determining the split differences (difference between the second half split and first half split times) for each participant: *(Note that there were 49 results without a half split time, so these will not be considered)*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Difference of second half split minus first half split.\n", "results['split_diff_seconds'] = (results['finish_seconds'] - results['half_split_seconds']) - results['half_split_seconds']\n", "results['split_diff'] = results['split_diff_seconds'].map(seconds_to_timestring)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "# Returns results sorted by negative-split based on criteria.\n", "def results_by_negative_split(df, criteria):\n", " return df[criteria].sort(columns='split_diff_seconds')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "code", "collapsed": false, "input": [ "# Number of records without a half split time.\n", "# results[results.half_split.apply(lambda x: False if type(x) == str else math.isnan(x))].place.count()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is often said that aiming to run an even or negative-split race is the \"optimal\" strategy. As a very blunt test of this hypothesis, let's compare the average finishing times of those that ran even/negative-split races with those that ran positive-split races." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def plot_split_differences(threshold=0, time_limit=None):\n", " even_neg_split = results[results.split_diff_seconds <= threshold]\n", " pos_split = results[results.split_diff_seconds > threshold]\n", " \n", " if time_limit:\n", " even_neg_split = even_neg_split[even_neg_split.finish_seconds <= time_limit]\n", " pos_split = pos_split[pos_split.finish_seconds <= time_limit]\n", " \n", " even_neg_split = even_neg_split.finish_seconds\n", " pos_split = pos_split.finish_seconds\n", " \n", " split_d_counts = {\n", " 'even/negative split': even_neg_split.count(),\n", " 'positive split': pos_split.count(),\n", " }\n", " split_d_mean = {\n", " 'even/negative split': even_neg_split.mean(),\n", " 'positive split': pos_split.mean(),\n", " }\n", " split_d = {'mean_finish_time': split_d_mean, 'number_of_runners': split_d_counts}\n", " split_df = pd.DataFrame(split_d)\n", " ax = split_df.mean_finish_time.plot(kind='bar')\n", " ax.yaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(time_ticks))\n", " ax.yaxis.set_major_locator(MultipleLocator(60*30))\n", " pylab.xticks(rotation='horizontal')\n", " pylab.title('Mean finish time for split types (Threshold = {} seconds, Limit = {})'.format(threshold, seconds_to_timestring(time_limit or nan)))\n", " label_bar_values(ax, split_df.mean_finish_time, split_df.number_of_runners, 'count')\n", " return ax\n", "def label_bar_values(ax, series_values, other=None, other_label=None):\n", " for i, value in enumerate(series_values):\n", " ax.text(i + 0.5, value + 300, seconds_to_timestring(value), size='14', weight='bold')\n", " if other is not None:\n", " ax.text(i + 0.5, 7200, \"{}: {}\".format(other_label, other.ix[i]), size='12', weight='bold')\n", "\n", "plot_split_differences(threshold=0)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 105, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Gjh2rYcOGqWnTpmrTpo0k6aefflJKSori4+PN2cJu3boVmmFLTU3V3Llz9cMP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\n717kPqcXhtmyZYuys7MlSZ0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"text": [ "" ] } ], "prompt_number": 105 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This shows there's a clear difference in finishing times between those who ran an even/negative split race and those who ran a positive split. Additionally, **the ratio between even/negative splits to positive splits is about 1:10.**\n", "\n", "**Note that this simplistic comparison ignores confounding factors and other variables.** For example, it would be *wrong to look at this graph and conclude that pursuing an even or negative split strategy is the optimal way to run a marathon*, because such an explanation ignores the fact that many of the people who ran a positive split likely aimed to run even/negative but failed in that regard and ended up with a positive split. (That is, very few people likely aim to run a positive split)\n", "\n", "All that we can conclude from this graph is exactly what it shows: **Those that ran a positive split, for whatever reason, had on average, slower finishing times than those that did not.**\n", "\n", "One possible interpretation of these results is that runners who set overly-ambitious goals and start too fast, tend to finish slower than those who hold back and are able to run an even or negative-split race." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Split differences allowing for slightly positive splits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the above graph, I've segregated the groups according to whether they've run an even/negative split or positive split; that is, the dividing line was a difference of zero seconds. In reality, many people run fine races with slightly positive splits. Does running a slightly positive split increase or decrease the average finishing time?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_split_differences(threshold=60)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 106, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ALHwPX15enlJSUtSwYcNSl1+e1wJAyQgCAVQ67gkEgP85cuSIsrKy9Pbbb2vx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\nlU/bgh5KIz9fZ3/9TjnnTuvkd5uUfux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"text": [ "" ] } ], "prompt_number": 106 }, { "cell_type": "markdown", "metadata": {}, "source": [ "By changing the threshold for what we consider to be an \"even/negative split\" from 0 to 60 seconds, we can see that the average finish time of the \"even/negative split\" group **dropped from 4:08 to 4:03**.\n", "\n", "I actually found that allowing for a **threshold of up to 270 seconds or 4:30** gave the lowest average finishing time (just over 3:59), which seems to indicate that running a positive split of less than five minutes doesn't adversely affect finishing time and in fact, it may decrease it.\n", "\n", "Calculating the rank correlation between finishing time and split difference shows a moderate correlation between increasing finishing times and increasing positive splits: (*Again, I have not bothered to calculate the p-value for this*)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "results.finish_seconds.corr(results.split_diff_seconds, method='spearman')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 34, "text": [ "0.5639565640533587" ] } ], "prompt_number": 34 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Conclusion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are many ways to slice and dice this data and I have only chose a few select ways in order to illustrate various points. Furthermore, there are even more ways to interpret the data and I don't claim to make any definitive judgments based on the data and have only presented my own opinions.\n", "\n", "The most surprising outcome for me was the distribution of finishing times, which clearly shows the influence of goal-oriented finish times." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "*Additional Stats by Request*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Number of runners without a city_state defined: *(Number is negligible compared to the total number of runners: 38,883)*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "results[results.city_state.map(lambda x: isnan(x) if type(x) == float else False)].finish_seconds.count()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 171, "text": [ "33" ] } ], "prompt_number": 171 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mean finish times for local vs. non-local runners:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print \"Mean finish time for '*Chicago*': \" + seconds_to_timestring(results[results.city_state.map(lambda x: 'Chicago' in x if type(x) == str else False)].finish_seconds.mean())\n", "print \"Mean finish time for others: \" + seconds_to_timestring(results[results.city_state.map(lambda x: 'Chicago' not in x if type(x) == str else False)].finish_seconds.mean())" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Mean finish time for '*Chicago*': 4:40:10.8\n", "Mean finish time for others: 4:30:29.9\n" ] } ], "prompt_number": 186 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most frequent cities: *Note that city_state locations have not been normalized, so there may be multiple textual representations for a single city. Mexico City is an example.*" ] }, { "cell_type": "code", "collapsed": false, "input": [ "results.city_state.value_counts()[:10]" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 149, "text": [ "Chicago, IL 8072\n", "Mexico City, DF 626\n", "New York, NY 429\n", "Naperville, IL 388\n", "Toronto, ON 284\n", "Evanston, IL 226\n", "Arlington Heights, IL 215\n", "Oak Park, IL 198\n", "Sao Paulo, SP 195\n", "Aurora, IL 190\n", "dtype: int64" ] } ], "prompt_number": 149 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Number of Illinois vs. non-Illinois runners:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "results[results.city_state.map(lambda x: x.strip().endswith(', IL') if type(x) == str else False)].place.count()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 184, "text": [ "17013" ] } ], "prompt_number": 184 }, { "cell_type": "code", "collapsed": false, "input": [ "results[results.city_state.map(lambda x: not x.strip().endswith(', IL') if type(x) == str else False)].place.count()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 203, "text": [ "21837" ] } ], "prompt_number": 203 }, { "cell_type": "markdown", "metadata": {}, "source": [ "A plurality (almost a majority) of the Illinois runners hail from Chicago." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mean finish times for Illinois runners vs non-Illinois runners:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print \"Mean finish time for IL: \" + seconds_to_timestring(results[results.city_state.map(lambda x: x.strip().endswith(', IL') if type(x) == str else False)].finish_seconds.mean())\n", "print \"Mean finish time for non-IL: \" + seconds_to_timestring(results[results.city_state.map(lambda x: not x.strip().endswith(', IL') if type(x) == str else False)].finish_seconds.mean())" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Mean finish time for IL: 4:42:41.9\n", "Mean finish time for non-IL: 4:24:35.8\n" ] } ], "prompt_number": 205 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This seems to show that those travelling to the race generally had a much faster time than those that didn't have to travel as far. One possible interpretation is that those who have taken it upon themselves the task of such a long journey may be more aggressively goal-oriented when it comes to the race than others. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Average finish time by country: (CAN)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# TODO: PC: Extract country from name_location and put it into a separate column in results.\n", "regional_results = results[results.name_location.map(lambda x: '(CAN)' in x if type(x) != float else False)]\n", "print results[results.name_location.map(lambda x: '(CAN)' in x if type(x) != float else False)].finish_seconds.count()\n", "seconds_to_timestring(regional_results.finish_seconds.mean())" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "1419\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 207, "text": [ "'4:09:56.3'" ] } ], "prompt_number": 207 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Canadians had a mean finish time far below the aggregate average." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Positive-Negative differences with finish time limits:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_split_differences(threshold=0, time_limit=3*3600)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 122, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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enp555hdkPZfbunWr+SXz4lUq0qRvtHRYWJh69eqlQYMGqW3btmrUqJEmT56s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\n+uVdEAWG/hxAYaA/L3pRUVH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"text": [ "" ] } ], "prompt_number": 122 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_split_differences(threshold=0, time_limit=3.5*3600)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 123, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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44bOyzvvxxx9LPRz0+PHjhre3t90Qpffff7/EcQDgcpCWlmY89thjhpeXl91Q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\nFhMlm81Jks0sr9osRN6NgpS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"text": [ "" ] } ], "prompt_number": 123 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_split_differences(threshold=0, time_limit=4*3600)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 209, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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4ZGRkKDo6WhUrVlS1atXMOosXL1ZQUJA++OCDAvv/9a9/NRPAkydPatOmTapT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\nWRwAAAAAgGtu3Rjm+++/V5M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"text": [ "" ] } ], "prompt_number": 209 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This seems to show that if only runners below a certain time threshold (3:00, 3:30, 4:00) are considered, the differences between positive and negative split mean finish times diminishes. This may be because instituting a time threshold eliminates outliers that greatly skew the average." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Positive-Negative split ratios as a function of threshold time" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above results got me thinking: How does the ratio of positive-split mean finish time over even/negative-split mean time change as the threshold time changes? The following graph will give some idea:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# 5-min bin graph of positive split mean/even-negative split mean vs. time-limit.\n", "def calc_positive_negative_ratio(threshold, time_limit):\n", " even_neg_split = results[(results.split_diff_seconds <= threshold) & (results.finish_seconds <= time_limit)]\n", " pos_split = results[(results.split_diff_seconds > threshold) & (results.finish_seconds <= time_limit)]\n", " \n", " return pos_split.finish_seconds.mean()/even_neg_split.finish_seconds.mean()\\\n", "# , seconds_to_timestring(even_neg_split.finish_seconds.mean()), even_neg_split.finish_seconds.count(), \\\n", "# seconds_to_timestring(pos_split.finish_seconds.mean()), pos_split.finish_seconds.count()\n", "\n", "pos_neg_split_ratios = [calc_positive_negative_ratio(0, t) for t in bins]\n", "pos_neg_s = pd.Series(pos_neg_split_ratios, index=bins)\n", "\n", "pylab.xticks(rotation='vertical')\n", "pylab.title('Pos/Neg mean time ratio as a function of maximum finishing time')\n", "ax = pos_neg_s.plot()\n", "ax.yaxis.set_label_text('Ratio of positive-split mean time\\n to negative-split mean time')\n", "ax.set_xlim([7200, 7200+6*3600])\n", "ax.xaxis.set_major_locator(MultipleLocator(300))\n", "ax.xaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(time_ticks))\n", "ax.xaxis.set_label_text('Maximum finishing time limit/threshold')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 253, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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O52LengyM+vYk/rLrInadK0KVWouHWzXDXwe2wdbnumH1+Gi8OyQCz/UMxqMR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"text": [ "" ] } ], "prompt_number": 253 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This graph is a little tricky to understand. The X-axis is the finishing time limit; this means that only finishers with a time at or below this will be considered for the calculation of the ratio. (i.e. sub-3, sub 3:05, sub 3:10, etc.)\n", "\n", "The ratio itself is the **mean finish time of positive-split runners** divided by the **mean finish time of even/negative-split runners**, but only for runners whose finish time was below the threshold.\n", "\n", "When the ratio is < 1, this means that on average, positive-split runners were **faster** than even/negative split runners. When the ratio is near ~1, this means that positive and even/negative split runners had roughly the same mean finish times. When the ratio > 1, this means that positive-split runners were **slower** than even/negative-split runners.\n", "\n", "What this graph shows is that:\n", "\n", "- Below a finish time of 3:00, positive split runners were faster than negative split runners. (Note that there aren't as many to compare, so the ratio fluctuates more)\n", "- The ratio is roughly equal from 3:00 to 4:00, meaning that for runners finishing faster than times between 3-4 hours, positive and negative split means were the same.\n", "- When considering finishing times below a threshold of > 4 hours, negative split runners are faster than positive split runners.\n", "\n", "Note that this graph does the calculation considering **all runners equal to or faster than the given time**, not those in between two times." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Positive-Negative split ratios *between* two times." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def calc_positive_negative_ratio_between_times(threshold, time_limit, period):\n", " even_neg_split = results[\n", " (results.split_diff_seconds <= threshold) & (results.finish_seconds > (time_limit - period)) & (results.finish_seconds <= time_limit)\n", " ]\n", " pos_split = results[\n", " (results.split_diff_seconds > threshold) & (results.finish_seconds > (time_limit - period)) & (results.finish_seconds <= time_limit)\n", " ]\n", " return pos_split.finish_seconds.mean()/even_neg_split.finish_seconds.mean()\\\n", "\n", "ten_min_bins = [7200 + 600*i for i in range (0, 6*6 + 1)]\n", "pos_neg_split_ratios = [calc_positive_negative_ratio_between_times(0, t, 300) for t in ten_min_bins]\n", "pos_neg_s = pd.Series(pos_neg_split_ratios, index=ten_min_bins)\n", "\n", "pylab.xticks(rotation='vertical')\n", "pylab.title('Pos/Neg mean finish time ratio as a function of finish time bins')\n", "ax = pos_neg_s.plot()\n", "ax.yaxis.set_label_text('Ratio of positive-split mean time\\n to negative-split mean time')\n", "ax.set_xlim([7200, 7200+6*3600])\n", "ax.xaxis.set_major_locator(MultipleLocator(600))\n", "ax.xaxis.set_major_formatter(matplotlib.ticker.FuncFormatter(time_ticks))\n", "ax.xaxis.set_label_text('Finishing time bins')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 261, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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vG63/9ddfDc+dlZWF8ePHG+47f/48Ll++bLS9PRq5TbHk+ZpT281jk0JCQvD444/j9OnT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\n6LGOjXsk369rV8mnzfrNutRQDwUAAACA5QK6R/JqLpdL//mf/3lDg0L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"text": [ "" ] } ], "prompt_number": 261 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unlike the previous graph, this one charts the ratio **between two finish times**, i.e. 3:30 and 3:40 and only considered those finishers.\n", "\n", "This shows that the positive-negative split mean finish time ratio starts out low and settles around ~1 past 3:00:00. The reason the previous graph skewed upward was because it was a function of only **maximum finishing time**, while this one limits finishers to those in each 10-minute interval.\n", "\n", "By plotting against *maximum finishing time* instead of limiting to an {upper, lower} bound, large and small finish times skew the mean, which is why the first graph grew: The mean negative split time remained low due because there are fewer negative splitters to add as the maximal finishing time grows, while the mean positive split time grew faster as maximal finishing time increased because there were more positive splitters to add." ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }