{ "cells": [ { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false }, "toc": "true" }, "source": [ "# Table of Contents\n", " <p><div class=\"lev1 toc-item\"><a href=\"#Loading-data\" data-toc-modified-id=\"Loading-data-1\"><span class=\"toc-item-num\">1 </span>Loading data</a></div><div class=\"lev2 toc-item\"><a href=\"#Exploring-uniqueness-of-rows/runner\" data-toc-modified-id=\"Exploring-uniqueness-of-rows/runner-11\"><span class=\"toc-item-num\">1.1 </span>Exploring uniqueness of rows/runner</a></div><div class=\"lev1 toc-item\"><a href=\"#Descriptive-analysis\" data-toc-modified-id=\"Descriptive-analysis-2\"><span class=\"toc-item-num\">2 </span>Descriptive analysis</a></div><div class=\"lev2 toc-item\"><a href=\"#Counts-of-runners-in-each-category:\" data-toc-modified-id=\"Counts-of-runners-in-each-category:-21\"><span class=\"toc-item-num\">2.1 </span>Counts of runners in each category:</a></div><div class=\"lev2 toc-item\"><a href=\"#Counts-of-runners-for-each-sex:\" data-toc-modified-id=\"Counts-of-runners-for-each-sex:-22\"><span class=\"toc-item-num\">2.2 </span>Counts of runners for each sex:</a></div><div class=\"lev2 toc-item\"><a href=\"#Counts-of-runners,-by-sex-and-race:\" data-toc-modified-id=\"Counts-of-runners,-by-sex-and-race:-23\"><span class=\"toc-item-num\">2.3 </span>Counts of runners, by sex and race:</a></div><div class=\"lev1 toc-item\"><a href=\"#Stats-on-age\" data-toc-modified-id=\"Stats-on-age-3\"><span class=\"toc-item-num\">3 </span>Stats on age</a></div><div class=\"lev2 toc-item\"><a href=\"#Overall-age-distribution\" data-toc-modified-id=\"Overall-age-distribution-31\"><span class=\"toc-item-num\">3.1 </span>Overall age distribution</a></div><div class=\"lev2 toc-item\"><a href=\"#Age-distributions,-by-categories\" data-toc-modified-id=\"Age-distributions,-by-categories-32\"><span class=\"toc-item-num\">3.2 </span>Age distributions, by categories</a></div><div class=\"lev3 toc-item\"><a href=\"#Women-age-distribution,-by-race:\" data-toc-modified-id=\"Women-age-distribution,-by-race:-321\"><span class=\"toc-item-num\">3.2.1 </span>Women age distribution, by race:</a></div><div class=\"lev3 toc-item\"><a href=\"#Men-age-distribution,-by-race:\" data-toc-modified-id=\"Men-age-distribution,-by-race:-322\"><span class=\"toc-item-num\">3.2.2 </span>Men age distribution, by race:</a></div><div class=\"lev3 toc-item\"><a href=\"#Age-distribustions,-by-sex\" data-toc-modified-id=\"Age-distribustions,-by-sex-323\"><span class=\"toc-item-num\">3.2.3 </span>Age distribustions, by sex</a></div><div class=\"lev1 toc-item\"><a href=\"#Stats-on-town-of-residence\" data-toc-modified-id=\"Stats-on-town-of-residence-4\"><span class=\"toc-item-num\">4 </span>Stats on town of residence</a></div><div class=\"lev2 toc-item\"><a href=\"#Fitting-runners'-towns-distribution\" data-toc-modified-id=\"Fitting-runners'-towns-distribution-41\"><span class=\"toc-item-num\">4.1 </span>Fitting runners' towns distribution</a></div><div class=\"lev1 toc-item\"><a href=\"#Stats-on-race-time\" data-toc-modified-id=\"Stats-on-race-time-5\"><span class=\"toc-item-num\">5 </span>Stats on race time</a></div><div class=\"lev2 toc-item\"><a href=\"#Times-distributions,-by-sex\" data-toc-modified-id=\"Times-distributions,-by-sex-51\"><span class=\"toc-item-num\">5.1 </span>Times distributions, by sex</a></div><div class=\"lev3 toc-item\"><a href=\"#Times-for-marathon:\" data-toc-modified-id=\"Times-for-marathon:-511\"><span class=\"toc-item-num\">5.1.1 </span>Times for marathon:</a></div><div class=\"lev3 toc-item\"><a href=\"#Times-for-1/2-marathon:\" data-toc-modified-id=\"Times-for-1/2-marathon:-512\"><span class=\"toc-item-num\">5.1.2 </span>Times for 1/2 marathon:</a></div><div class=\"lev3 toc-item\"><a href=\"#Times-for-10km:\" data-toc-modified-id=\"Times-for-10km:-513\"><span class=\"toc-item-num\">5.1.3 </span>Times for 10km:</a></div><div class=\"lev1 toc-item\"><a href=\"#Stats-on-pace\" data-toc-modified-id=\"Stats-on-pace-6\"><span class=\"toc-item-num\">6 </span>Stats on pace</a></div><div class=\"lev2 toc-item\"><a href=\"#Pace-distributions,-by-race\" data-toc-modified-id=\"Pace-distributions,-by-race-61\"><span class=\"toc-item-num\">6.1 </span>Pace distributions, by race</a></div><div class=\"lev3 toc-item\"><a href=\"#Pace-for-men:\" data-toc-modified-id=\"Pace-for-men:-611\"><span class=\"toc-item-num\">6.1.1 </span>Pace for men:</a></div><div class=\"lev3 toc-item\"><a href=\"#Pace-for-women:\" data-toc-modified-id=\"Pace-for-women:-612\"><span class=\"toc-item-num\">6.1.2 </span>Pace for women:</a></div><div class=\"lev2 toc-item\"><a href=\"#Pace-VS-age\" data-toc-modified-id=\"Pace-VS-age-62\"><span class=\"toc-item-num\">6.2 </span>Pace VS age</a></div><div class=\"lev2 toc-item\"><a href=\"#Export-JSON-for-visualization\" data-toc-modified-id=\"Export-JSON-for-visualization-63\"><span class=\"toc-item-num\">6.3 </span>Export JSON for visualization</a></div>" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/html": [ "<style>\n", ".lev1 {margin-left: 80px}\n", ".lev2 {margin-left: 100px}\n", ".lev3 {margin-left: 120px}\n", ".lev4 {margin-left: 140px}\n", ".lev5 {margin-left: 160px}\n", ".lev6 {margin-left: 180px}\n", "</style>" ], "text/plain": [ "<IPython.core.display.HTML object>" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import HTML\n", "\n", "HTML(\"\"\"<style>\n", ".lev1 {margin-left: 80px}\n", ".lev2 {margin-left: 100px}\n", ".lev3 {margin-left: 120px}\n", ".lev4 {margin-left: 140px}\n", ".lev5 {margin-left: 160px}\n", ".lev6 {margin-left: 180px}\n", "</style>\"\"\")" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "<center>\n", "<big><b>\n", "Exploratory analysis on data from Lausanne marathon 2016 \n", "</b></big>\n", "</center>\n", "\n", "<p><center>\n", "(the workflow we try to follow in this study is the one suggested in this \n", "<a href=\"http://science.sciencemag.org/content/347/6228/1314.full\">useful paper</a>)\n", "</center></p>" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "import datetime\n", "from scipy import stats\n", "\n", "import seaborn as sns\n", "sns.set_context('notebook')\n", "%config InlineBackend.figure_format = 'retina'\n", "\n", "# Prepare dictionary for JSON export to build viz\n", "lausanne_marathon_viz = {}" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "# Loading data" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "The data used were parsed from https://services.datasport.com/2016/lauf/lamara/" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dataset shape: (12059, 7)\n" ] }, { "data": { "text/html": [ "<div>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>cat</th>\n", " <th>sex</th>\n", " <th>nom</th>\n", " <th>an</th>\n", " <th>lieu</th>\n", " <th>temps</th>\n", " <th>pace</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>21</td>\n", " <td>M</td>\n", " <td>Abaidia Jilani</td>\n", " <td>1966</td>\n", " <td>St-Légier-La Chiésaz</td>\n", " <td>1:45.28,4</td>\n", " <td>4.59</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>21</td>\n", " <td>F</td>\n", " <td>Abaidia Sandrine</td>\n", " <td>1972</td>\n", " <td>St-Légier</td>\n", " <td>1:49.40,8</td>\n", " <td>5.11</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>NaN</td>\n", " <td>F</td>\n", " <td>Abaidia Selma</td>\n", " <td>2006</td>\n", " <td>St-Légier-La Chiésaz</td>\n", " <td>7.12,2</td>\n", " <td>4.48</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>21</td>\n", " <td>M</td>\n", " <td>Abb Jochen</td>\n", " <td>1948</td>\n", " <td>Ernen</td>\n", " <td>2:50.40,7</td>\n", " <td>8.05</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>10</td>\n", " <td>M</td>\n", " <td>Abbas Dhia</td>\n", " <td>1961</td>\n", " <td>Lausanne</td>\n", " <td>1:13.04,1</td>\n", " <td>7.18</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " cat sex nom an lieu temps pace\n", "0 21 M Abaidia Jilani 1966 St-Légier-La Chiésaz 1:45.28,4 4.59\n", "1 21 F Abaidia Sandrine 1972 St-Légier 1:49.40,8 5.11\n", "2 NaN F Abaidia Selma 2006 St-Légier-La Chiésaz 7.12,2 4.48\n", "3 21 M Abb Jochen 1948 Ernen 2:50.40,7 8.05\n", "4 10 M Abbas Dhia 1961 Lausanne 1:13.04,1 7.18" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trial_dataset = pd.read_csv('../datasets/lausanne_marathon_2016_stefano.csv')\n", "trial_dataset = trial_dataset.drop('Unnamed: 0',axis=1)\n", "\n", "# remove useless features\n", "trial_dataset.drop('rang',axis=1,inplace=True)\n", "trial_dataset.drop('retard',axis=1,inplace=True)\n", "\n", "# substitute False as Nan\n", "trial_dataset.replace('False',np.NaN,inplace=True) \n", "\n", "print('dataset shape:',trial_dataset.shape)\n", "trial_dataset.head()" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Also some of us were there :)" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/html": [ "<div>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>cat</th>\n", " <th>sex</th>\n", " <th>nom</th>\n", " <th>an</th>\n", " <th>lieu</th>\n", " <th>temps</th>\n", " <th>pace</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>6409</th>\n", " <td>10</td>\n", " <td>M</td>\n", " <td>Lazzari Gianrocco</td>\n", " <td>1988</td>\n", " <td>Ecublens VD</td>\n", " <td>42.59,1</td>\n", " <td>4.17</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " cat sex nom an lieu temps pace\n", "6409 10 M Lazzari Gianrocco 1988 Ecublens VD 42.59,1 4.17" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trial_dataset.loc[trial_dataset.nom=='Lazzari Gianrocco',:]" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Counting NaN (`False`) values:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "cat 812\n", "sex 499\n", "nom 0\n", "an 0\n", "lieu 0\n", "temps 0\n", "pace 0\n", "dtype: int64" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trial_dataset.isnull().sum()" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "## Exploring uniqueness of rows/runner\n", "(running cells in this section will take longer - _better to skip it_) \n", "\n", "Mind that the rows are not __unique__, for each runner's name" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(trial_dataset.nom.unique())==trial_dataset.shape[0]" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Therefore we compute the distribution of rows/runner: \n", "...and it seems there are _38 names with 2 'copies'_ and even _1 with 3_ (runners with same names): " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "1 11980\n", "2 38\n", "3 1\n", "Name: nom, dtype: int64" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trial_dataset.nom.value_counts().value_counts()" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Here we print those names that are not unique:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Allaz Vincent\n", "Bach Philippe\n", "Demont Christophe\n", "Di Rosa Giuseppe\n", "Dutruy Simon\n", "Favre Guillaume\n", "Favre Pauline\n", "Ferreira Fernanda\n", "Ferri Fabio\n", "Fournier Pierre\n", "Gay Julien\n", "Genoud Patrick\n", "Gerber Patrick\n", "Gerber Thomas\n", "Graf Stéphanie\n", "Guignard Romain\n", "Jalloh Ibrahim\n", "Jaquier Philippe\n", "Keller Christian\n", "Lemay Virginie\n", "Lizner Petr\n", "Longchamp Philippe\n", "Michel Julien\n", "Michel Patrick\n", "Nyanduga Nzumbe\n", "Pittet Nicolas\n", "Pittet Olivier\n", "Ribeiro Antonio\n", "Robert Vincent\n", "Rochat Daniel\n", "Schneeberger Christian\n", "Schwab Philippe\n", "Tabone Vincent\n", "Trolliet Camille\n", "Uldry Marc\n", "Verdier Thomas\n", "Vouilloz Cédric\n", "Weber Julien\n", "Weber Nicolas\n" ] } ], "source": [ "for r in trial_dataset.nom.unique():\n", " \n", " if (sum(trial_dataset.nom==r)!=1):\n", " \n", " print(r)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "here is an example:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/html": [ "<div>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>cat</th>\n", " <th>sex</th>\n", " <th>nom</th>\n", " <th>an</th>\n", " <th>lieu</th>\n", " <th>temps</th>\n", " <th>pace</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>159</th>\n", " <td>10</td>\n", " <td>M</td>\n", " <td>Allaz Vincent</td>\n", " <td>1972</td>\n", " <td>Epalinges</td>\n", " <td>45.35,3</td>\n", " <td>4.33</td>\n", " </tr>\n", " <tr>\n", " <th>160</th>\n", " <td>42</td>\n", " <td>M</td>\n", " <td>Allaz Vincent</td>\n", " <td>1988</td>\n", " <td>Villars-le-Terroir</td>\n", " <td>3:31.40,5</td>\n", " <td>5.00</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " cat sex nom an lieu temps pace\n", "159 10 M Allaz Vincent 1972 Epalinges 45.35,3 4.33\n", "160 42 M Allaz Vincent 1988 Villars-le-Terroir 3:31.40,5 5.00" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trial_dataset[trial_dataset.nom=='Allaz Vincent']" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "__(name,age)__ is NOT unique descriptor:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fournier Pierre\n", "Gay Julien\n", "Jalloh Ibrahim\n", "Lemay Virginie\n", "Michel Patrick\n", "Nyanduga Nzumbe\n" ] } ], "source": [ "for r in trial_dataset.nom.unique():\n", " \n", " if ( (sum(trial_dataset.nom==r)!=1) and\n", " (len(trial_dataset[trial_dataset.nom==r].an.unique())==1) ):\n", " \n", " print(r)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "... _five_ runner have the __same__ name __and__ age:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/html": [ "<div>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>cat</th>\n", " <th>sex</th>\n", " <th>nom</th>\n", " <th>an</th>\n", " <th>lieu</th>\n", " <th>temps</th>\n", " <th>pace</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>7547</th>\n", " <td>21</td>\n", " <td>M</td>\n", " <td>Michel Patrick</td>\n", " <td>1983</td>\n", " <td>La Chaux-de-Fonds</td>\n", " <td>1:56.19,9</td>\n", " <td>5.30</td>\n", " </tr>\n", " <tr>\n", " <th>7548</th>\n", " <td>10</td>\n", " <td>M</td>\n", " <td>Michel Patrick</td>\n", " <td>1983</td>\n", " <td>Bulle</td>\n", " <td>1:06.08,5</td>\n", " <td>6.36</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " cat sex nom an lieu temps pace\n", "7547 21 M Michel Patrick 1983 La Chaux-de-Fonds 1:56.19,9 5.30\n", "7548 10 M Michel Patrick 1983 Bulle 1:06.08,5 6.36" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trial_dataset[trial_dataset.nom=='Michel Patrick']" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "__(name,cat)__ is also NOT a unique descriptor:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Di Rosa Giuseppe\n", "Favre Pauline\n", "Genoud Patrick\n", "Gerber Thomas\n", "Graf Stéphanie\n", "Guignard Romain\n", "Jaquier Philippe\n", "Lizner Petr\n", "Pittet Olivier\n", "Ribeiro Antonio\n", "Schwab Philippe\n", "Verdier Thomas\n", "Weber Julien\n", "Weber Nicolas\n" ] } ], "source": [ "for r in trial_dataset.nom.unique():\n", " \n", " if ( (sum(trial_dataset.nom==r)!=1) and\n", " (len(trial_dataset[trial_dataset.nom==r].cat.unique())==1) ):\n", " \n", " print(r)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "example:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/html": [ "<div>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>cat</th>\n", " <th>sex</th>\n", " <th>nom</th>\n", " <th>an</th>\n", " <th>lieu</th>\n", " <th>temps</th>\n", " <th>pace</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>8858</th>\n", " <td>10</td>\n", " <td>M</td>\n", " <td>Pittet Olivier</td>\n", " <td>1967</td>\n", " <td>Cheseaux-sur-Lausanne</td>\n", " <td>51.20,9</td>\n", " <td>5.08</td>\n", " </tr>\n", " <tr>\n", " <th>8859</th>\n", " <td>10</td>\n", " <td>NaN</td>\n", " <td>Pittet Olivier</td>\n", " <td>1999</td>\n", " <td>Vufflens-la-Ville</td>\n", " <td>51.13,5</td>\n", " <td>5.07</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " cat sex nom an lieu temps pace\n", "8858 10 M Pittet Olivier 1967 Cheseaux-sur-Lausanne 51.20,9 5.08\n", "8859 10 NaN Pittet Olivier 1999 Vufflens-la-Ville 51.13,5 5.07" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trial_dataset[trial_dataset.nom=='Pittet Olivier']" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "__(name,age,cat)__ is a unique descriptor!!:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "for r in trial_dataset.nom.unique():\n", " \n", " if ( (sum(trial_dataset.nom==r)!=1) and\n", " (len(trial_dataset[trial_dataset.nom==r].cat.unique())==1) and\n", " (len(trial_dataset[trial_dataset.nom==r].an.unique())==1) ):\n", " \n", " print(r)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "# Descriptive analysis \n", "\n", "The following table summarizes correlation study among features \n", "(__√__ : done, __-__ : not really relevant)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "| | cat | sex | city | age | time | pace |\n", "|:----:|:----:|:----:|:----:|:----:|:----:|:----:| \n", "| cat | [√](#Counts-of-runners-in-each-category:) | [√](#Counts-of-runners,-by-sex-and-race:) | - | [√](#Age-distribustions,-by-categories) | - | [√](#Pace-distributions,-by-race) |\n", "| sex | - | [√](#Counts-of-runners-for-each-sex:) | - | [√](#Age-distribustions,-by-sex)| [√](#Times-distributions,-by-sex) | (equivalent to time VS sex) |\n", "| city | - | - | [√](#Stats-on-town-of-residence) | - | - | - |\n", "| age | - | - | - | [√](#Overall-age-distribution) | (equivalent to pace VS age) | [√](#Pace-VS-age) |" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Define the logical conditions for sex/race, useful for dataframe subsetting during this study:\n", "\n", "For simplicity we consider _only the three main races_: 10Km, 1/2 marathon and marathon" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "f10 = (trial_dataset.sex=='F') & (trial_dataset.cat=='10')\n", "f21 = (trial_dataset.sex=='F') & (trial_dataset.cat=='21')\n", "f42 = (trial_dataset.sex=='F') & (trial_dataset.cat=='42')\n", "\n", "m10 = (trial_dataset.sex=='M') & (trial_dataset.cat=='10')\n", "m21 = (trial_dataset.sex=='M') & (trial_dataset.cat=='21')\n", "m42 = (trial_dataset.sex=='M') & (trial_dataset.cat=='42')" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "## Counts of runners in each category:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "10 5515\n", "21 4414\n", "42 1318\n", "Name: cat, dtype: int64" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trial_dataset.cat.value_counts()" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "## Counts of runners for each sex:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "M 6905\n", "F 4655\n", "Name: sex, dtype: int64" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trial_dataset.sex.value_counts()" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "## Counts of runners, by sex and race:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "sex cat\n", "F 10 2584\n", " 21 1449\n", " 42 219\n", "M 10 2537\n", " 21 2870\n", " 42 1089\n", "Name: nom, dtype: int64" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "grouped_df = trial_dataset.groupby([trial_dataset.sex,trial_dataset.cat]).nom.agg('count')\n", "grouped_df" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Mind that we chose the following palette to be colorblind-friendly \n", "(source: http://www.cookbook-r.com/Graphs/Colors_(ggplot2)/#a-colorblind-friendly-palette )" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "cbPalette = [\"#999999\", \"#E69F00\", \"#56B4E9\", \"#009E73\",\"#D55E00\", \"#CC79A7\"]" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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Q3D18rI4BXLOqVatq4MCB6tWrlyZOnKiOHTtqw4YNVscCAKBIKAABAE7h22+/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\nTqn/5mAdiqyjcb/MUFB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"text/plain": [ "<matplotlib.figure.Figure at 0x10ce2fdd8>" ] }, "metadata": { "image/png": { "height": 482, "width": 640 } }, "output_type": "display_data" } ], "source": [ "plt.pie(grouped_df,labels=grouped_df.index,autopct='%1.1f%%',\n", " colors = cbPalette);\n", "plt.axis('equal');" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "# Save data for visualization\n", "# order of count lists : 10km, 21km, 42km\n", "counts = {\n", " \"men\": list(map(int,grouped_df['M'].values.tolist())),\n", " \"women\": list(map(int,grouped_df['F'].values.tolist()))\n", "}\n", "\n", "lausanne_marathon_viz[\"counts\"] = counts" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "# Stats on age" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "## Overall age distribution" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "overall_age_dist = 2016 - trial_dataset.an" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "image/png": 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DgRcCj4uIR2Tm3irqkiRJms/dQSRJC6l6Vf/7Uzzt/+Bahv6IOI0iXF8BnJGZ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\nVZiBvyRJkiRJFWbgL0mSJElShRn4S5IkSZJUYQb+kiRJkiR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"text/plain": [ "<matplotlib.figure.Figure at 0x10d5529e8>" ] }, "metadata": { "image/png": { "height": 348, "width": 511 } }, "output_type": "display_data" } ], "source": [ "plt.plot(overall_age_dist.value_counts()/len(overall_age_dist),marker='.',linestyle='')\n", "\n", "plt.xlabel('runner\\'s age',size=16)\n", "plt.ylabel('fraction of runners',size=16);" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "# Save data for visualization\n", "age_distrib = overall_age_dist.value_counts()/len(overall_age_dist)\n", "lausanne_marathon_viz[\"age_distribution\"] = {}\n", "lausanne_marathon_viz[\"age_distribution\"][\"overall\"] = {\n", " \"ages\": [int(age) for age in age_distrib.index.tolist()],\n", " \"counts\": [float(count) for count in age_distrib.values.tolist()]\n", "}" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "## Age distributions, by categories" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Preparing data:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "age_female_10 = 2016 - trial_dataset[f10].an\n", "age_male_10 = 2016 - trial_dataset[m10].an\n", "\n", "age_female_21 = 2016 - trial_dataset[f21].an\n", "age_male_21 = 2016 - trial_dataset[m21].an\n", "\n", "age_female_42 = 2016 - trial_dataset[f42].an\n", "age_male_42 = 2016 - trial_dataset[m42].an" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "### Women age distribution, by race:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false }, "scrolled": true }, "outputs": [ { "data": { "image/png": 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8ywjyhRT2vp3v9TmkpKQwbdorrFz5P86cOYOXlxdVq1bnxhvDsSyL3ALeCH//\nsvnKLMvi3/9+mq1bNwO2UfK6devTpEkzfvvtUIHtFMTf36/QY442MjLSAVwS9byuuy6MPXviyMzM\ndKnjWFjQwXH/Pbjxw74MSuZFRERERDxIt7pdXO6Zd7itzi0lEE1+bdtG4u3tzebNsc4p9a1b30i9\nevUJDQ0lNjaW+vWbkJ6e7py2DBAYGEhmZiapqamUK1fOpc2srCyysrIICbnwivFFFRAQgI+PD99+\nu/aiEuHiEBOzgUqVQmnYsHG+Y3v2WDz66DiSk5Po3r0X//jHE8Ua/zPPPMn69Wvp06cf3br1oEGD\nhgQGBgGwYsX/itRGWloaI0aMICUllTFjJnDTTW2pU6cuvr6+7Nr1EytXFq2dogoMDAQgMTGRpk3z\nH09Ntf2w4xjR9xS6Z15ERERExIOEV2nF8OZ3UyO4Gt5e3tQIrsbw5neX+OJ3DiEhFWjatDmbN8ey\nY8c2ypcPoUGDhgBERESwZcsW1q37EW9vbyIj/0zmHYnrjh3b8rW5Y8c2cnNzi7xae1E0aNCIs2fP\nEhe3O9+xn37aycyZ09i+favbrncxNm5cz003ReQZCbY5fPg3HnlkLMnJSQwYMJh//vPfxZrIp6am\nsn79Wpo0acbf/vY4N9zQ0pnIx8cfJTs7q0gj6hs2bOD333+nX7+7GDRoCA0bNnLOpjh4cD+ASzvn\nvg8X63x9Kz09jT17LGrWrFWkGR1XEyXzIiIiIiIeJrxKK/4Z8QjTbnmef0Y8ctUk8g5RUe3Zv38f\na9euoWXL1s5kLCIigvT0dL766jOaNm3ustBdjx63A/DWW9NJTk52licnJzNjxlSAfI+KuxyO602b\n9grp6WnO8oyMdKZMeY758+dy9uxZt12vqFJSTrJ798/O58s75OTkMGnSv/jjj2T69x/EuHGPXHaS\ne7F8fX3x9vYmNTXF5T76rKxMXn31RcC2QvyFOO7FT0o64VKekJDA7Nnv5GvHx8f2g0Xea16MTp1u\nJjg4mM8//8S5VoLjGlOnTiErK4u//rXnJbVdkq6u+SQiIiIiIuLxIiPb8+67b5KQEO98lBhA27a2\nFdDT0tJcptgDtGrVhgEDBrNw4XyGDRtIu3adANtz5k+c+J3Bg4e6PJbucrVpE0509EAWLVrAPfcM\nICqqPb6+fvzww2qOHz9Gnz79aNMm3G3XK6rY2Bhyc3OJiIh0KV+z5jt27/4ZPz8/AgICnI+jyys0\nNJQ+faK/NuBxAAAgAElEQVSvWGxly5alU6db+O67b7n//qFERLQlI+OU8zMqV648aWmp5OTkuKxe\nf64bb7yRGjVqsHz5Uk6e/IOGDRtz/Pgx1qz5Hn9/P7y8vFzWKwgLCwPgiy8+JSUlhf79B15U3EFB\nwTz++FM89dTjjB49go4db6ZSpVC2bIll795fadmyNYMHF77Y4NVKybyIiIiIiLiVMU0IDQ3lxIkT\nLs9Jb9CgAWFhYSQmJro8As1h3LhHMKYJn376MStXLqNMmTI0bNiYRx/9O507d3F7nBMm/I2mTZvx\n+eeLWL58KT4+PtSuXYeRI0fRvXsvt1+vKGJi1tOwYSMqVqzkUr5tm23Kf3Z2Nu+//16B5zZs2PiK\nJvMAjz/+JJUrV+aHH75j0aKPCQ29jiZNmnHPPcNYufJ/fPzxR2zZsonw8IhC2wgMDGT27Nn897/P\nsWPHdrZv30qVKlXp1q07w4bdz2OPjWf79q1kZGQQGBhIq1ZtuPPO/ixfvpTPPvuY8PCIfCvyX0jn\nzl2YMWMWc+fOYuPG9Zw+nU3NmrV46KGHueuuQVfduglF4VXUVQKlZCQmpl7VH1BYmG1xksTE1BKO\nREqa+oI4qC+Ig/qCOKgviIP6goD6wbnCwspd0v0SumdeRERERERExMMomRcRERERERHxMErmRURE\nRERERDyMknkRERERERERD6NkXkRERERERMTDKJkXERERERER8TBK5kVEREREREQ8jJJ5ERERERER\nEQ+jZF5ERERERETEwyiZFxEREREREfEwSuZFREREREREPIySeREREREREREPo2ReRERERERExMMo\nmRcREREREZFCrVz5P44cOezcX7r0azp0COfjjz8swahEybyIiIiIiIgUaMaM13n66SfIyEgv6VDk\nHErmRUREREREpEDJyUklHYIUQsm8iIiIiIiIiIcpU9IBiIiIiIhI6XDfffeyb9+vLFu2Gn9/f2f5\niBFDiIvbzZw5c4iKinKWT506hU8++YiFC7+gRo2aAHz77QoWLVrAnj1xeHl50aBBI6KjB9C1azeX\na3XoEE6vXr3p1q0H77wzE8v6heDgYHr0uIP77nuQQ4cOMm3aq+zcuZ2goCA6d76F0aPHU7ZsWZd2\nVq36ho8//pC9e/fg5eVN06bNGDp0JG3ahDvrxMcfpX//Oxg+/H6MacLcubPYu3cvgYGBdOzYmVGj\nxlKhQoXzvjezZr3F7Nnv8NFHn/H115+zfPky0tJSadzY8PDDf6Nx4yZ89NEHfPHFpyQnJ1GvXn1G\njx7vEgfAjh3bWLBgPrt27eDkyZOULRtAkyZNuffeES51x459gISEeCZO/AdTprxAcnIS7dp15Jln\nngdg2bLFLFnyFb/+uofMzFOEhITQps1N3Hffg87PIjr6dhIS4gEYPnwwVatWY9Gir53XyMnJYcGC\neXz55WckJMRz3XWV6dnzdoYMGUaZMq6pZt7P1dvbG2MMvXtHF/i5du/eizvu6Mtbb72BZf2Cj08Z\nIiIiGT16HNWqVT/v+3wt8Zk0aVJJxyDnkZGRPamkYzifoCDbf6QzMrJLOBIpaeoL4qC+IA7qC+Kg\nvuB+KTEbiH/7TY5/NI/UTbF4BwXib0/AStLx48fYvDmWNm3CqV69BgApKSlMn/4qubm51KhRg7Zt\n2zr7wuuvT6FixUoMG3YfANOnv8b06a9y9uwZbr75L9Sv35BffvmJZcsWk5mZyU03tXVe67333ub0\n6dN88skCGjUy3HRTW3777RDr1q3h998TeeONqYSGhtKhQ0eOHz/GunU/kpl5irZt2znbePfdN3n1\n1Rfx8fHhllu60qhRY7Zu3cIXX3xK9eo1aNiwEQBpaal88slHZGRk8MknCzCmCVFRHfjjj2TWr1/L\nzp3b6NWr93nfm61bN7Nt2xZ27NjK7t2/0KVLVypWDCUmZgPff7+KQ4cOsmzZYjp06Ezt2nWIidnA\n6tXf0KPH7QQGBgGwZs13PPbYw6SmptCx4y20atUGPz8/YmM3smLFMjp06ERo6HWAbZG6I0eOsHr1\nt0RERNKs2fU0adKEZs2uZ/r015g583WCg8vRqdPNNGt2PSdPphAbu4EfflhNnz79nMn4iRMnSEo6\nQe/ed9K+fUeaN7+BPXviWLPme/bsiSM2diORke244YZW7N+/lzVrvufUqQzatv3zR5tzP9dmzZqw\nY8cOli79usDPNSfnLAsXzqdatep06NCJs2fPsn79Wtau/YHevfvh4+NzaR30KhUU5P/0pZynkXkR\nEREREQ+SErOBhLffdO5nHzns3C8fEVlSYQEQGdmeOXPeZfPmWMLDIwBbEpuTk0NAQCCxsbHOuvHx\nRzl06CCDBt0DwPbtW1mwYB6NGxumTJlOxYoVAUhOTubhhx/kww/fp127DrRq1cbZxv79+xg//lHu\nuutuAHr37svdd0ezePGXDBw4hLFjJwAwdOhI7ryzJytXLmf8+IkA/PzzT8ydO4vWrW/kpZemOkfs\nR4x4gFGjhvPSS88SERHljAMgLm43kyc/T5cuXQE4c+Yhhg+/m507d3Dw4AHq1Kl7wfcoLS2NOXM+\noly5cgBMmvQvvvlmOd9/v4r58xdx3XVhAFStWo333nubNWu+p2/faABmzpxGUFAws2fPp1KlUGeb\n8+fPZebMaaxa9Q2NGhln+alTGQwYMJhx4x5xliUmHufjjz+kVas2TJ060yUxfuyxh1m/fi3bt28j\nIiKSu+66mz174vj11zj69Onn0jZAZmYms2a9T+3attc9ePC9DBjQhyVLvmbMmAl4e3sX+LmGhZUj\nKSmJwYOHFPi57tu3l4ceGs/dd98LQG5uLhMnjiMmZgNbtmwiMrIdonvmRUREREQ8StKSxQWXL11S\nzJHk16xZcypUqMCmTTHOsi1bYgkJCaFTp5vZsWMH2dm2UfmNG9cDEBXVHrCNJAOMGTPBJYGuWLEi\nDz44DoAlS75yuZ6fnx99+/Z37teuXdc53X3QoCHO8qCgYOrUqUdychJZWZnOtnJzcxkz5mGXqfch\nIRUYPHgomZmZrFq10uV61avXcCbyAGXKlCE83DaqHB9/tEjvUffuvZyJPMANN7QEoGvXbs5EHqBZ\ns+td2s3JyWHUqLE8+eTTLok8QOvWNwIFL1Z3881dXPb9/Px44onJPPzwxHwj3I6EuqiL3nXp0tWZ\nyANcd10YxjQlLS2V1NQUoPDPtVKlSoV+rv7+/vTvP8i57+Xl5UzgExKK9j5fCzQyLyIiIiLiQbIL\nSRoLKy9O3t7eRERE8e23K0hLSyM4OJjNmzfRsmUbrr++BcuXL2Xnzp3Urt2YjRvXExwcTIsWrQCc\n91I79vNylP36a5xLeeXKVfD19XUpK1s2AH//U87p5g5+fn4AZGefxt+/LJa1G4DvvlvF2rVrXOom\nJh4v8Hq1atXJF1twcDAAp08X7TaSmjVruewHBAQA5LsX3BHv6dOnAdt727nzLQAkJMSzb99ejhw5\nzIED+9iyZRNgS/jPVa1aDZf9kJAK3HbbX8nJyWHfvl85cOAAR48e5tdf9zh/hCmonYJfS+18ZSEh\nIQCcOnWKkJAKl/S5Vq1aLd/nGhRke5+zs08XKbZrgZJ5EREREREP4letOtlHDhdYfjWIjGzPihXL\n2Lp1E82b38CBA/vo3ftO56jvpk2bqF69Plu2xNK2bTvnvdkZGen4+fnlS+LAljCXLVuWzMxMl/Ky\nZQMKjKGgNs6VlpYKwLx5cwqtk5Jy0mXfz6/wdnNzL3hJoPCYHcn7+ezd+yuvvfYSW7duBmwzA+rW\nrU+TJs347bdD5BYQRN6FCB2+/34VM2dO5/DhQwAEBARiTBMaNmzEpk0xBbZTEH//wmN2tHEpn6uv\nb/52vby8HC0XKbZrgZJ5EREREREPUqlnL5d75p3lPXqWQDT5tW0bibe3N5s3xzqn1LdufSP16tUn\nNDSU2NhY6tdvQnp6unOKPUBgYCCZmZmkpqa6TEMHyMrKIisri5CQ868YfzECAgLw8fHh22/X5lt5\n/WqUkZHOI4+MIS0tjTFjJnDTTW2pU6cuvr6+7Nr1EytX/q9I7eza9RNPPvl/hIVVZtKk/9K0aXOq\nV6+Bl5cX8+bNcblFwh2K+3O9luieeRERERERD1I+IpKqDzyIX81a4OODX81aVH3gwRJf/M4hJKQC\nTZs2Z/PmWHbs2Eb58iE0aNAQgIiICLZs2cK6dT/i7e1NZOSfyXzDho0B26PXzrVjxzZyc3OpV6++\n2+Js0KARZ8+eJS5ud75jP/20k5kzp7F9+1a3Xe9ybd4cS1LSCfr1u4tBg4bQsGEj52j3wYP7AYo0\nov7tt8vJyclh4sT/o2vXbtSoUdM56n3w4IF87fw5In5pivtzvZYomRcRERER8TDlIyKpO+kZGr81\ni7qTnrlqEnmHqKj27N+/j7Vr19CyZWtnQhgREUF6ejpfffUZTZs2d1kQrUeP2wF4663pJCcnO8uT\nk5OZMWMqAN269XBbjI7rTZv2Cunpac7yjIx0pkx5jvnz53L27Fm3Xe9y+fnZpssnJZ1wKU9ISGD2\n7HcAOHPmzCW3s2lTjHN0P287Pj62WQuOe/cvVmGfa1JS0hX5XK8lV/98EhERERER8SiRke159903\nSUiIdz42DqBtW9vK72lpaS5T7MG2kvqAAYNZuHA+w4YNpF27TgCsW7eGEyd+Z/DgoS6PL7tcbdqE\nEx09kEWLFnDPPQOIimqPr68fP/ywmuPHj9GnTz/atAl32/UuV4sWrahWrTrLly/l5Mk/aNiwMceP\nH2PNmu/x9/fDy8sr3z3+BfnLX25lwYJ5vPLKC2zbtoXQ0OvYu3cPMTEbCAmpQHJykks7YWG2Ffan\nT3+N8PAIRox44KLiLuhzDQjwZfXq1SQmJrr9c72WKJkXERERERG3MqYJoaGhnDhxwvnYNIAGDRoQ\nFhZGYmIi7dp1yHfeuHGPYEwTPv30Y1auXEaZMmVo2LAxjz76dzp37pKv/uWaMOFvNG3ajM8/X8Ty\n5Uvx8fGhdu06jBw5iu7de7n9epcjICCAV199g5kzX2fHju1s376VKlWq0q1bd4YNu5/HHhvP9u1b\nycjIIDAwsNB2GjUyvPTSVN577y3WrPkOb28fqlWrxsiRo+jVqzd9+/Zg/fq13HPPcADuvPMudu7c\nzvbt2zhwYD8DBw4ptO3CnPu5+vr60rRpUyZMeOyKfK7XCq+irlQoJSMxMfWq/oDCwmyLWCQmppZw\nJFLS1BfEQX1BHNQXxEF9QRzUFwTUD84VFlbukhYm0D3zIiIiIiIiIh5GybyIiIiIiIiIh1EyLyIi\nIiIiIuJhlMyLiIiIiIiIeBgl8yIiIiIiIiIeRsm8iIiIiIiIiIdRMi8iIiIiIiLiYZTMi4iIiIiI\niHgYJfMiIiIiIiIiHkbJvIiIiIiIiIiHUTIvIiIiIiIi4mGUzIuIiIiIiIh4GCXzIiIiIiIiIh5G\nybyIiIiIiIiIhylT0gFcKcaYMsA44H6gHhAPzAaetyzrdBHOrwRMBnoBlYFfgBcty1pYQN0PgCGF\nNPWCZVn/d0kvQkRERERERKQApTaZB94AHgB+BL4C2mNLzlsC0ec70RgTBKwEWgGfAIeAfsACY0yY\nZVnTzzmlJXAMeLOA5n68jNcgIiIiIiIikk+pTOaNMe2wJfKLgLssy8o1xngBc4B7jTG9LMtafJ4m\nHgbaAGMty3rD3uYzwHrgBWPMx5ZlHbeX+wJNgMWWZU26Uq9JRESKX0rMBpKWLCY7/ih+1apTqWcv\nykdElnRYIiIiIqX2nvkx9u3TlmXlAti3jwO5wH0XOP8hzhlptywrFfgvEAjcnaduU8AX2OGWyEVE\n5KqQErOBhLffJPvIYcjJIfvIYRLefpOUmA0lHZqIiIhIqU3mOwG/W5b1U95Cy7KOAnFA58JONMY0\nAGoAayzLOnvO4dX2bd7zW9i3SuZFREqRpCUFT+BKWrqkmCMRERERya/UJfPGGH+gJrC3kCoHgArG\nmLBCjjewb/Odb1lWApAJNM5T7EjmjTFmrTEm1Rhz3Bgz2xhT/aJfgIiIXBWy449eVLmIiIhIcSqN\n98xXsm//KOT4Sfs2BEgs4HjoBc5PsZ/r4EjmnwQ+AzYAbYFhwK3GmEjLsg5fOOyChYWVu9RTi5Wn\nxClXnvqCOHh6XzhcqyYZBw/lKw+sVdPjX1tx0/slDuoL4qC+IKB+cLlK3cg8tvvXAbIKOe4oL3sZ\n5+c99xSwB7jJsqwhlmVNtCyrA/AEtun6rxcpahERuarUjO5XcHm/O4s5EhEREZH8SuPI/Cn71q+Q\n4/72bfplnO8817KsvoXUew4YCdxujAm2LCutkHrnlZiYeimnFRvHr2lXe5xy5akviEOp6QtNW1L1\ngQdJWrrkz9Xse/SEpi09/7UVk1LTF+SyqS+Ig/qCgPrBuS51hkJpTOZPAjm4ToXPKyRPvYIkn1Pv\nXOWxrXR/XpZl5RhjtgP1sN3Dv/tC54iIyNWlfESkHkUnIiIiV6VSl8xblpVtjDmILYkuSD0g0bKs\npEKOx+Wp58IYUw3bFHvLvh+I7Z75U5ZlbS+grQD7NrOI4YuIiIiIiIhc0BW7Z94YU9UY06qA8q7G\nmB+NMWnGmARjzIfGmKZuvvyPQFVjTN5V57GvLt8Y2yJ1BbIs6xBwCOhgjDn3/bnZvl1v31a1//3B\nue3YE/022BbZO3jxL0FERERERESkYG5P5o0x5Ywx84HDwDPnHLsdWApEAYFAGDAA2GiMKfTZ75fg\nffv2WUdCbozxwnYfO8DbFzj/A2xT48c6Cowx5YB/Ybun/gMAy7L2AVuAG4wxg/PU9QKex/b6ZlqW\nlXu5L0hERERERETE4UpMs/8S6Ax4AfUdhcYYH2B6nmueAbKxJfXBwHxjjLEsq7CF6YrMsqxvjDEL\nsf1QsN4YsxpoB3QEFgFL8sQ1yX7OpDxNvAjcBUy1/8iwF+hnfz3jLMvK+0i7B4DvgA+MMf2wPce+\nIxAO/AA8e7mvR0RERERERCQvt47MG2N68edU9ARcp5/fBtQCcrGNZlfBtsjc4/bj1YD73BjOPcBT\nwHXABGxT4p8ChpwzUv5v+z8ny7JSsCXk79m3Y7A9d36QZVnTz6m7GbgJ248Enex1y9uvdZtlWYU9\n4k5ERERERETkkrh7ZP4u+zYJCLcs62ieY33y/P2UZVmOVeNfMMbcCnQBbgemuiMQy7JOY5vm/8wF\n6nkVUn4M26PlinKt3fz52kVERERERESuKHffMx+FbeT9nXMSeYC/2rcZwMpzji22b5u4OR4RERER\nERGRUsfdyXxl+/bnvIX2VeUdU+zX2EfN84q3b69zczwiIiIiIiIipY67k3l/+/bc56p3zfP3qgLO\nC7Vvs90cj4iIiIiIiEip4+5k/ph9W/+c8u55/l5RwHnh9u0RN8cjIiIiIiIiUuq4O5mPxfZIusHG\nGH8AY0xDbCvZ5wKHLMvakfcEY8wNwGD78Rg3xyMiIiIiIiJS6rh7NfuPgDuB64ENxphvsK3y7ost\nWZ/nqGiMqQP0B57Ic/yDcxsUEREREREREVduHZm3LOtTbCvVewEtgEeBmvbDR4EX81T/G/ACUM6+\nv8iyrG/cGY+IiIiIiIhIaeTuafZgG5mfA5zFltR7YZs+f4tlWal56ln2YwBvA/dcgVhERERERERE\nSh13T7PHsqx0YIQx5m9AQyDRsqz9BVRdC0wCFlqWZbk7DhEREREREZHSyq3JvDFmCJAMLLUsK4nz\nLGhnWdZWYKs7ry8iIiIiIiJyLXD3NPtHga+A5W5uV0RERERERETs3J3M17Nv/+fmdkVERERERETE\nzt3JvK99m+DmdkVERERERETEzt3J/Eb7tqub2xURERERERERuytxz3wGMNQY86QxJsDN7YuIiIiI\niIhc89z9aDp/YCLwGrbHzv3dGLMJ+AXbKvdZF2rAsqzJbo5JREREREREpFRxdzK/AcjNsx8EdLL/\nKyol8yIiIiIiIiLn4e5kHsDrAvvnk3vhKiJSVBt/PsaS9Qc4+nsG1a8LpGdUXdo2q1LSYYmIiIiI\nyGVydzI/3M3ticgl2vjzMd76apdz/3BiunNfCb2IiIiIiGdzazJvWdZcd7YnIpduyfoDhZQfVDIv\nIiIiIuLh3L2avYhcJY7+nlFgefyJ9GKORERERERE3K1YknljTKAxpo4x5oY8ZfohQeQKqn5dYIHl\n1UKDijkSERERERFxtyuWUBtjwowxzxhjdgApwD5ga54qE40xMcaYPlcqBpFrWc+ouoWU1yneQERE\nRERExO2uxGr2GGPuBN4DytmLClrRvi4QDnxqjJkHDLcsK+dKxCNyLXLcF79k/UHiT6RTLTSInlF1\ndL+8iIiIiEgp4PZk3j7S/ol91ws4AyQANc+pWjlPnSFAGjDG3fGIXMvaNqui5F1EREREpBRy6zR7\nY0xFYDa2BD0NeBgoD4wroPo9wKNAlr3+g8aYcHfGIyIiIiIiIlIaufue+TFACJAD3G5Z1jTLsjIL\nqmhZVqZlWa8BtwO59uL73RyPiIiIiIiISKnj7mS+B7bE/HPLsn4oygmWZX0DfIptdL6jm+MRERER\nERERKXXcfc98Y/t2xUWetxqIBmq5NxwRKQ4pMRs4vHwpGb8dxq9adSr17EX5iMiSDkukRKTEbCBp\nyWKy449e0e9DcV1HRERErk7uTuaD7dvkizzvhH17RVbXF5Gi23RsG8sPrCIh4zhVAyvTrW4Xwqu0\nKrR+SswGEt5+07mffeSwc1+JhVxriuv7oO+diIiIuHuavSMpv9gR9kb27e9ujEVELtKmY9uYvetD\njqYnkJObw9H0BGbv+pBNx7YVek7SksUFly9dcqXCFLlqFdf3Qd87ERERcXcyvw3bve/RRT3BGOMD\n3IvtXvvtbo5HRC7C8gOrCixfcXB1oedkxx+9qHKR0qy4vg/63omIiIi7k/nP7dtIY8zoIp4zlT9H\n5r92czwichESMo4XWB6ffqzQc/yqVb+ocpHSrLi+D/reiYiIiLuT+TnAXmyj89OMMa8ZY5oD/nkr\nGWP8jDF/McZ8A4zGNip/BNsz6kWkhFQNrFxgebWgKoWeU6lnr4LLe/R0S0winqS4vg/63omIiIhb\nF5yzLOuMMeZOYA1QHhhn/+dkjDkKhOa5theQBQy0LCvbnfGIyMXpVrcLs3d9mK/8tjq3FHqOY7Gt\nlBXLOPXbYXyrVadSj55ahEuuSY5+n7R0yZ+rzF+B70NxXUdERESuXl65ublub9QYcz3wCWDyFOe9\nkFeev+OxJfJr3B5IKZCYmOr+D8iNwsLKAZCYmFrCkYi7bDq2jRUHVxOffoxqQVW4rc4t513N3kF9\nQRzUF8RBfUEc1BfEQX1BQP3gXGFh5bwuXCu/K/IoOMuyfrIn9APt/9oDFfJUyQRigE+BWZZlZVyJ\nOETk4oVXaVWk5F1ERERERErOFXuuu2VZZ4H59n8YY4KAECDDsqw/rtR1RUREREREREq7K5bMn8uy\nrHQgvbiuJyIiIiIiIlJauXs1exERERERERG5wq7YyLz9nvlIbCvX+1LEHw4sy5p8pWISERERERER\nKQ3cnswbY+oC72Nb9O5SKJkXEREREREROQ+3JvPGmEBgNVAb18fPFdVV/Rg2ERERERERkauBu0fm\nHwLqYEvKs4BFwDbgD+CMm68lIiIiIiIick1ydzIfbd+mAZ0sy9ru5vZFRERERERErnnuXs2+MbZR\n+XeUyIuIiIiIiIhcGe5O5v3t201ubldERERERERE7NydzB+xbwPc3K6IiIiIiIiI2Lk7mV+JbRX7\nrm5uV0RERERERETs3J3MT8O2in1/Y0yUm9sWEREREREREdyczFuWtRsYa293uTFmojGmtjuvISIi\nIiIiInKtc+uj6YwxM+x/7gEM8CLwojEmnaI9az7XsqwG7oxJREREREREpLRx93PmH8T2aDrybL2A\nYCDoAud65TlHRERERERERArh7mQebEn5xZSLiIiIiIiIyEVwazJvWZa7F9QTERERERERkXNciZF5\nEbkCNh3bxvIDq0jIOE7VwMp0q9uF8CqtSjosEREREREpAUrmRTzApmPbmL3rQ+f+0fQE574SehER\nERGRa4+mxYt4gOUHVhVYvuLg6mKORERERERErgZXZGTeGFMG+CsQCYQCvhTth4Ncy7JGXomYRDxZ\nQsbxAsvj048VcyQiIiIiIvL/7N19eFxneeD/rwJxQLIN+E2WErACgbt1YDHgxDGQBBtql8hNoQFK\nswSahZIthVJ2F35ly1vDtlDabYFCm6SFUGizEFJaQpTiQOzyKjuY4rbY9KFApETRS2Q7iY1EcLD1\n++PMyLI8I0ujM6PR6Pu5rrmOzjPn5Z4zR05unee5n3qQezIfEc8GbgbOrfAQJvPSJKubV9E/MnhK\ne1tL6xxEI0mSJGmu5drNPiKWAXeQJfJNFbwklbC1Y3PJ9i1rNtU4EkmSJEn1IO8n828GlgFjwAHg\nemAv8CDws5zPJS0YxSJ3d/TuZGBkiLaWVras2XTa4ndWwJckSZIaU97J/OWF5QHgOSmlvpyPLy1Y\n61vXzSgRtwK+JEmS1Ljyrmb/ZLKn8teZyEtzywr4kiRJUuPKO5kvjnvfl/NxJc2QFfAlSZKkxpV3\nMn9PYfn4nI8raYZWN68q2W4FfEmSJGn+yzuZv53s6fy2nI8raYasgC9JkiQ1rrwL4H0IeD3QGREv\nSSn9Y87Hl6Zl9/4hurp76D8wSvuKZjo3drBh7cJ6Il1pBXxJkiRJ9S/XZD6ldF9EXAl8Frg5Iq4v\n/Pxd4MGU0vE8zyeVsnv/ENffeqJsQ9/wyPj6QkzoTd4lSZKkxpNrMh8Rtxd+HAI6gDcUXsX3T3eI\nsZRS3r0FtMB0dfeUae9dcMm8JEmSpMaUd+L8i2RT01FYNk2xrVQV/QdGS7YPHBypcSSayuG7dnGo\n6zFqnmgAACAASURBVDaODvSzqK2dZZ3bWHrhRfP2PJIkSVIt5Z3M38OJZF6aE+0rmukbPjVxb1ve\nMgfRqJTDd+1i8IbrxteP3tc3vp5nol2r80iSJEm1lveY+Y48jydVonNjx0lj5k+0r5mDaFTKoa7b\nSrff3pVrkl2r80iSJEm15vh0NZziuPiu7l4GDo7QtryFzo1rHC9fR44O9M+ovd7PI0mSJNWaybwa\n0oa1rSbvdWxRWztH7+sr2T4fzyNJkiTV2hlzHYCkhWdZ57bS7Zd1zsvzSJIkSbWW99R0O2Z5iLGU\n0gtzCUZS3SqOVz90e9eJKvOXdeY+jr1W55EkSZJqLe9u9i+gsmr2xSnscquEHxGPBt4E/AZwLjAA\n3Ai8P6X0yDT2XwZcC2wDVgHfAz6QUvrMNPa9BbgCODel1FPpZ5Aa2dILL6pJUl2r80iSJEm1VI1u\n9k0zfAHcB+wD9ucYx0eBPwUOAh8qnONa4P+dbseIaAG+BPwmsAv4CPB44NMR8cbT7HsFWSIvSZIk\nSVJV5J3MnzuN188DG4HXAzvJEvpjwMtTSs/II4iIeG7h+LcAl6SUfhe4BPgkcEVElB5Ie8KbgWcD\nv51SemVK6W3AOrI/OPxRRKwqc95lZH9EkCRJkiSpavKeZ753BpvvBv46Iq4F3gF8PiKelVIazSGU\n3yosfz+lNFaIbSwi3g5cBbwOKD0BdeYNwBBwXbEhpXQkIv4AuAm4Evhgif3+DFhE9jTffr2SJEmS\npKqY82r2KaV3Af8KnEeWROfhEuBASum7k87VD3wfuLTcjhHxFOBs4GsppWOT3t5ZWJ6yf0T8IvBq\n4H+Q/SFAkiRJkqSqqJd55v8W+GPgFcCfzOZAEXEWcA7Zk/9SerLNYmVKabjE+08pLH84+Y2U0mBE\nPAw8bdI5lwA3AF9OKX0iIl5SafyTrVy5JK9DVdV8iVPV572gIu8FFXkvqMh7QUXeCwLvg9ma8yfz\nBX2F5Xk5HGtZYflgmfcfKiwfV+b95afZ/3CJfT9Q2O+a6QQoSZIkSdJs1MuT+ScXlmfmcKziMX5a\n5v1i+2NmsX9zcSUiLiVL4t+aUvrRDOKcluHhI3kfMlfFv6bVe5yqPu8FFXkvqMh7QUXeCyryXhB4\nH0xWaQ+FOX8yHxGP58QT7Z4cDvmTwnJRmffPKixHZrH/CEBEPBb4a+DblC6IJ0mSJElS7nJ9Mh8R\nT5rBeZcCzwHeCjwJGAO6cgjjIeA45bvRP27CdqU8MGm7yZZyosDde4EO4DkliuVJkiRJklQVeXez\n7yFLyivxY7Kp3WYlpXQ0InrJ5rQv5VxgOKV0qMz735+w3Ukioo2se34qNL2M7Br+a0SUOtbdEUFK\nqWm68UuSJEmSdDrVGDNfSeL6IPDKlFJeU7p9HbgqIp6WUiom50REO1kl+i+U2zGldE9E3AM8PyLO\nSCkdn/D2CwrL7sLyg8DjSxzmlUAAH6J8IT1JkiRJkiqSdzL/Vab3ZP44WSG5+4FdwGdSSg9MvcuM\nfBK4CvjDiHhFSul4RDQB7yu8f8Np9v8U8HvAG4EPw/j0c79HNqb+UwAppZLj5CNiHVky/8GUUs/s\nPookSZIkSSfLNZlPKb0gz+NVKqX05Yj4DPCrQHdE7ASeC1wM3MKEsfkR8Z7CPu+ZcIgPkM15/6FC\ntfofAleQVd1/U5n56SVJkiRJqolcq9lHxKsi4rLCU/C5dhXwLmAF8DvA6sL6q1JKE3sPvLvwGpdS\nOkyW+H+8sPwtsu7yv5ZS+kj1Q5ckSZIkqby8u9n/D+CZwJ3AlpyPPSMppUfIqs2/9zTblfzDQ2H8\n/msrPPdLKtlPc2v3/iG6unvoPzBK+4pmOjd2sGFt61yHJUmSJEmnyDuZL1aA/2LOx5Wqavf+Ia6/\ndd/4et/wyPi6Cb0kSZKkepNrN3vgzMJyMOfjSlXV1d1Tpr23pnFIkiRJ0nTknczvLixflPNxparq\nPzBasn3g4EiNI5EkSZKk08s7mf8fwCjwmoh4Z0Q8NufjS1XRvqK5ZHvb8pYaRyJJkiRJp5f3mPmz\ngP8JfBB4D/C2iNgDfA94gGxu+SmllK7NOSbptDo3dpw0Zv5E+5o5iEaSJEmSppZ3Mr8LmDjtWwtw\nSeE1XSbzqrlikbuu7l4GDo7QtryFzo1rLH4nSZIkqS7lncwDTJ7qbSZzzo+dfhOpOjasbTV5lyRJ\nkjQv5J3MX53z8SRJkiRJ0iS5JvMppb/J83iSJEmSJOlUeVezlyRJkiRJVWYyL0mSJEnSPGMyL0mS\nJEnSPGMyL0mSJEnSPGMyL0mSJEnSPGMyL0mSJEnSPGMyL0mSJEnSPGMyL0mSJEnSPPPouQ5A0vTs\n3j9EV3cP/QdGaV/RTOfGDjasbZ3rsCRJkiTNAZN5aR7YvX+I62/dN77eNzwyvm5CL0mSJC08JvPS\nHNgztJftPTsYHL2f1c2r2NqxmfWt68pu39Xdw88fuZuND/w7K44+xIFFj6P7Cc+gq3vxlMn84bt2\ncajrNo4O9LOorZ1lndtYeuFFVfhEqoTfjyRJkipVtWQ+Ih4HXAAsB85kmuPzU0qfrFZMUj3YM7SX\nG/fdNL7ePzI4vl4uoV969z4uH/ra+Pqqow/yy0Nf4wtNTcCFJfc5fNcuBm+4bnz96H194+smjHPP\n70eSJEmzkXsyHxFPAD4MvKKC448BJvNqaNt7dpRsv6N3Z9lk/uLD3y3Z/vzD+0q2Axzquq10++1d\n8zZZbKS6AY34/UiSJKl2ck3mI+LRwJeBdUBTnseWGsXg6P0l2wdGhsru8/ifPFi6/eEHyu5zdKB/\nRu31rtHqBjTa9yNJkqTayvvJ/GuBZ5E9YQf4BrAXeBD4Wc7nkual1c2r6B8ZPKW9raV8QnpWeztH\n7+sr0X522X0WtZXeZ1Fb+zQjrS9d3T1l2nvnZTLfaN+PJEmSaivvZP6VheUjwEtSSl/M+fjSvLe1\nY/NJY+aLtqzZVHafZZ3bThpfPd5+WWeu+9Sz/gOjJdsHDo7UOJJ8NNr3I0mSpNrKO5l/OtlT+U+Y\nyEulHTvYxtEfPJNHt/+Ipsf8mLGHF/Oz/idzbHUblHnAXBxDfej2rhOVzy/rnHJsdSX71NJMK/q3\nr2imb/jUxL1teUs1w6yaev9+JEmSVN/yTuYXF5Zfm3IraQHr6u7h2KE2jh1qm9Q+dXfxpRdeNONE\nr5J9aqGSiv6dGztOGjN/on1NdYKsgXr9fiRJklT/pjVd3AwMFJYWv5PKaLTu4pWYqqJ/ORvWtnLN\n5edzzsrFPOqMJs5ZuZhrLj9/Xo6XlyRJkmYr7yfzXwWuAi4G/jbnY0sNodG6i1eikor+kCX0Ju+S\nJElS/k/m/5JszPyrIuJpOR9bagidGzvKtM/f7uIztbp5Vcn2qSr6S5IkSToh12Q+pbQbuBZ4LLAz\nIq4ozD0vqcDu4llF/1KmqugvSZIk6YRcE+2IeBvwMPA94OeBm4GjEfGfTG+u+bGU0gvzjEmqRwu9\nu3ixyN0dvTsZGBmiraWVLWs2TVnNXpIkSdIJeT81fz9ZN3smLM8Czp/Gvk0T9pE0j+wZ2sud3/4K\nfYcHpjXNHGQJvcm7JEmSVJlqdIEvVcne6vZSg6pkmjlJkiRJs5N3Mn9uzseTVOemmmbOZF6SJEmq\njlyT+ZRSb57Hk1T/Kp1mTpIkSVLl8p6aTtIC4zRzkiRJUu1Vfdq4iFgOXAisApamlP680P5E4EhK\n6cFqxyCperZ2bD5pzHyR08xJkiRJ1VO1ZD4ifhH4PeC5k97688Ly14H/HRHXA7+XUhqpViySqqc4\nLn5HX6GavdPMSZIkSVVXlWQ+Ij4IvKmwOrGS/cSp5zrIpq17E/CiiNiUUhquRjySqmt96zpe/PSL\nARgePjLH0UiSJEmNL/cx8xFxLfDbnJg3/pvAF0tsepATyf1a4LN5xyJJkiRJUiPKNZmPiADeTpak\n7wfWp5SeD1w/eduU0tuA9UCxAv7FEfHLecYjSZIkSVIjyrub/RuARwFHgK0ppfum2jil9J2IuJQs\n8W8GXgV8PueYpKrZvX+Iru4e+g+M0r6imc6NHWxYaxV3SZIkSdWVdzf7F5I9lf/k6RL5opTSvcDH\nybrlX5BzPFLV7N4/xPW37qNveITjY2P0DY9w/a372L3f+dUlSZIkVVfeT+afWFjunuF+3yksS09Y\nLdWhru6eMu29Pp1XVe0Z2sv2nh0Mjt7P6uZVbO3Y7OwBkiRJC0zeyXzxeEdnuF9x+2M5xiJVVf+B\n0ZLtAwedZVHVs2doLzfuu2l8vX9kcHzdhF6SJGnhyDuZHwLWkFWnn4nnTNhfmhfaVzTTN3xq4t62\nvGUOosmPdQDq2/aeHSXb7+jdaTIvSZK0gOQ9Zv4bZGPfXx0RZ05nh4hYDlxNNta+O+d4pKrp3NhR\npn1NbQPJkXUA6t/g6P0l2wdG/I4kSZIWkryT+U8VlmuAGyKiaaqNC4n854HHF5o+k3M8UtVsWNvK\nNZefzzkrF/OoM5o4Z+Virrn8/Hn9FHuqOgCqD6ubS5cWaWuZv/edJEmSZi7XbvYppTsiYjuwFXg1\n8MyI+BgTCttFxFOBc4DNwOuBFWRP5b+ZUrotz3jUGOq52/eGta11E0serANQ/7Z2bD5pzHzRljWb\n5iAaSZIkzZW8x8wDvBL4GvB04JnAhwvtY4Xlf0zavgm4B3hFFWLRPFfs9l1U7PYNNFQSXS8atQ5A\nIymOi7+jdycDI0O0tbSyZc0mx8tLkiQtMLkn8ymlhyLiIuBDwGsmnWOMLHmf6AvA61JKw3nHovnP\n6d9qq3Njx0l/PDnRXh91AJySLbO+dd2C/NySJEk6oRpP5kkpjQK/ERHvBV4OPI9sDvrHAaPAILAL\n+FxK6d+qEYMag92+a6v4B5Ku7l4GDo7QtryFzo1r6uIPJ07JJkmSJJ1QlWS+KKV0D/B/Cy9pxuz2\nXXv1Wgeg3qdkq+faDpIkSWo8eVezl3LViNO/qTL1PCWbU/pJkiSp1kzmVdcacfo3Vaaep2RzSj9J\nkiTVWlW62UfEC4ErgWcATwAeNc1dx1JKT6lGTJq/6rXbt2qrnqdkq3VtB7v0S5IkKfdkPiKuB143\nqXlyBftyxk6/iaSFqJ6nZKu0tkMl1fmdrlGSJEmQczIfEa8BfoMTU9AdBx4ARjBRlzRL9TolWyVT\n+lVand/pGiVJkgT5P5kvPpEfA94K/FVK6UjO55CkulLJlH6VVud3ukZJkiRB/sn8M8gS+RtTSn+a\n87ElqW7NtLZDpdX5na5RkiRJkH8yf2ZhWfqRk9RgDt+1i0Ndt3F0oJ9Fbe0s69zG0gsvmuuwZqUR\nP1M9Wt28iv6RwVPaT1edv5Iu/ZIkSWo8eU9N11NYnpXzcaW6c/iuXQzecB1H7+uD48c5el8fgzdc\nx+G7ds11aBVrxM9Ur7Z2bC7Zfrrq/E7XKEmSJMj/yfw/Am8HLgM+kfOxpbpyqOu20u23d83bJ9mN\n+JnqdRq32VTnd7pGSZIk5Z3M/xnw34BfiYiXpZRuyfn4Ut04OtA/o/b5oNE+U71P41av1fklSZJU\n/3JN5lNKByLiCuALwKcj4m+BzwH/STY93XSOcU+eMUnVsqitPeuOXqJ9vmq0z+Q0bpIkSWpUeY+Z\nB/gOWTJ/BnAV8A/Ad4G7p/H6URXikapiWee20u2XddY4kvw02mdyGjdJkiQ1qlyfzEfEY4GdwAVk\nU9QBNOV5DqleFMeQH7q960Tl98s65+3Ycmi8z+Q0bpIkSWpUeY+Z/23gQrJEvgl4EOgtLKWGs/TC\ni+ZtoltOI30mp3GTJElSo8o7mX9lYfkI8Drg/6WUjuV8DkmaluK4+K7uXgYOjtC2vIXOjWscLy9J\nkqR5L+9k/lyyp/IfSSn9bc7HlqQZq9U0bnuG9rK9ZweDo/ezunkVWzs2W6lekiRJVZN3Ml/0L1U6\nriTVnT1De7lx303j6/0jg+PrJvSSJEmqhryr2f+wsFye83ElqW5t79lRsv2O3p01jkSSJEkLRd7J\n/GfICt/915yPK0l1a3D0/pLtAyNDNY5EkiRJC0Xe3ew/CrweuCAi/gR4W0rpeM7nkNQAdu8foqu7\nh/4Do7SvaKZzY8e8LUy3unkV/SODp7S3tczPz1NUq++oke4FSZKkWsk1mU8pjUTELwH/BLwF2BYR\nnwb2AwfJqtyf7hhfzTMmSfVn9/6hk6aM6xseGV+fj0nc1o7NJ42ZL9qyZtMcRJOPWn1HjXYvSJIk\n1UquyXxEHC78eCZZd/unAe+cwSHG8oopIh4NvAn4DbIq+wPAjcD7U0qn/aNCRCwDrgW2AauA7wEf\nSCl9psS2TwLeC2wCVgD/AfwF8LGU0lgen0dqJF3dPWXae+dlAlcscndH704GRoZoa2lly5pN87r4\nXa2+o0a7FyRJkmol7272i0u0NeV8jukqdvn/OnAr8Dyy5PyZwMum2jEiWoAvAeuAzwL3AFcAn46I\nlSmlj0zY9hzgLrKif7cA9wFbgb8CngX8Vq6fSmoA/QdGS7YPHBypcST5Wd+6bl4n75PV6jtqxHtB\nkiSpFvJO5v8m5+NVJCKeS5bI3wK8IqU0FhFNwCeAV0fEtpTSbVMc4s3As4E3ppQ+Wjjme4Fu4I8i\n4uaUUrHi1QeAVuCXU0q3Frb9XWAn8IaI+MuU0nfz/5RS/di9f4jt39rDPUNHaF9++jHP7Sua6Rs+\nNVlrW95SzTA1A7X6jio9j+PsJUnSQpf3mPmr8zzeLBSfhv9+sZt7IaF/O3AV8DpgqmT+DcAQcF2x\nIaV0JCL+ALgJuBL4YOEPBGcDe4qJfGHbn0XEZ4HnAxcBJvNqWJWMee7c2HHSPifa11QnSM1Yrb6j\nSs7jOHtJkqT8n8zXi0uAA5OfiKeU+iPi+8Cl5XaMiKeQJei3pJSOTXq7OGn0pcAHC38oKHesnyss\nnZtKDa2SMc/F9q7uXgYOjtC2vIXOjWtMxOpIrb6jSs7jOHtJkqQGTOYj4izgHGB3mU16ss1iZUpp\nuMT7Tyksfzj5jZTSYEQ8TFbYr9S5zwDagauBa4DvkFX2r9jKlUtms3vNzJc4lb/+g+XHPE91X2y7\ndAnbLj2vWmEpB7P9jqb778JMz1PpPae54/eiIu8FFXkvCLwPZquqyXxEXE5WbG4j2bjyFmAU6CNL\ndD9P6Sfgs7GssHywzPsPFZaPA0ol88tPs//hwr6l/A3wqsLPCXhxSuln5UOV5r8ntS6hZ+DwKe1P\nbPUfZ1VHLe+5b9zzLf5h/3b6Dg9wztI2Xrp2K8970gW57yNJkjRTVUnmI+Jc4GayInJFxar2LWRP\ntp8G/Crw1oh4ZUrpBzmd/szC8qdl3i+2P2YW+zeXee87QD9ZFfwtwDci4kUppZ6y0Z7G8PCRSnet\nieJf0+o9TlXP1gueWHLM89YLnuh9sUBV+9+FWt1ze4b2cuO+m8bX73noPj7U/XEOH3647MwFlezT\nyPxvhIq8F1TkvSDwPpis0h4KuSfzEXEeWdX3ZZw8Ld2DwAiwBFg6of3ZwF0RsT6l9KMcQvhJYbmo\nzPtnFZbl5j2azv4l900p/Wnx54h4A9n0eB8FOssFK813xTHK2791L/cOHXH8u6quVuP5t/fsKNl+\nR+/Osol5JftIkiRVItdkvjBm/HOc6Kq+F3g/8KWU0gMTtltJ9uT6f5HN+/544OaIuDCldHyWYTwE\nHKd8V/jHTdiulAcmbTfZUqZR1C6l9BcR8RbgFyNiUUrp6On2kearDWtbx8c8+xdW1cKGta1V/4PR\n4Oj9JdsHRsr/J6CSfSRJkipxRs7HuxJ4OjAG/C1wYUrp5omJPEBKaTil9HfABcDfFZqfRQ5PsAtJ\ncy9wbplNzgWGU0qHyrz//QnbnSQi2si656fCektEvLgwr30pvWTXeFmZ9yVJdWp186qS7W0t5f+I\nUMk+kiRJlcg7mb+isPwR8NrTFX8rvP/awvYAr8kpjq8DqyPipKrzEdFONlZ/1xQx3QPcAzy/0NNg\nohcUlt2F5eOB24E/n3yciHg0sJasYN6BmX8ESdJc2tqxuWT7ljWbct1HkiSpEnmPmV9P9lT+b1JK\nj0xnh5TS0Yj4BHAt8Iyc4vgkcBXwhxHxipTS8YhoAt5XeP+G0+z/KeD3gDcCHwaIiCWFtp8U3iel\ndF9EfBN4bqGI36cL2zYB/wdoAz5iRXtpftm9f4iu7h76D4zSvqKZzo0dVenSXavzqDLFMe539O5k\nYGSItpZWtqzZNOXY90r2kSRJqkTeyfyKwjLNcL9i1/Zz8ggipfTliPgMWbX87ojYCTwXuBi4Begq\nbhsR7yns854Jh/gA8ArgQxFxKdmc81cATwbeNGl++v8OfA34u4h4Odk89s8DNgB7gLfn8Zkk1cbu\n/UMnVUrvGx4ZX88z0a7VeRrVnqG9bO/ZweDo/axuXsXWjs1VSZjXt66b8XEr2UeSJGmm8u5m/3Bh\nOdPa+osLy3LTwVXiKuBdZH9g+B1gdWH9VSmlsQnbvbvwGpdSOkyW+H+8sPwtsmr8v5ZS+sikbf+d\nbOz/zcClwJvIxshfC1yaUvpxjp9JUpV1dfeUae+dl+dpRMXp3/pHBjk+dpz+kUFu3HcTe4b2znVo\nkiRJNZP3k/m7yarTv4gsEZ6uXygsc/u/2EI3//cWXlNt11SmfYhsPP90zvWfwK/NNEZJ9af/wGjJ\n9oGD5WazrO/zNCKnf5MkScr/yfydZHPLv3yKCu8niYjnAS8nG2t/Z87xSNKMtK9oLtnetrxlXp6n\nETn9myRJUv7J/HXAscJxvxARL51q44j4FeDWwvbHgL/MOR5JmpHOjR1l2tfMy/M0Iqd/kyRJyrmb\nfUrphxHxPuAdZNO23RIR3yd74v4DYARoAc4j64r/VLIn+WPA+1NKP8wzHkmaqWLxua7uXgYOjtC2\nvIXOjWtyL0pXq/M0oq0dm7lx302ntDv9myRJWkjyHjMPWTG5J5AVjYNsXvenldm2OF79upTSu6oQ\niyTN2Ia1rTVJqmt1Hqis+nutKsbPlNO/SZIkVSGZL1SKf1NEfImsevyzp9j828AfpJT+Me84JEmZ\nYvX3omL1d6BsAlzJPrXk9G+SJGmhq8aTeQBSSrcCt0bE2cBGsqnhlgI/BgaAXSmle6t1fklSppLq\n71aMlyRJqm+5JvMRsSKldGBiW0rpPuCWPM8jSZq+Sqq/WzFekiSpvuVdzX4gIr4WEW+LiJ/L+diS\npApUUv3divGSJEn1Le9k/lHAc4H3AfsiIkXEn0TEJRGR97kkSdOwtWNzyfapqr9Xso8kSZJqJ+8x\n8/8P2AIsL6w/FXhL4fVARHSRzSv/xZTSSM7nliSVUEn1dyvGS5Ik1bemsbGxXA8YEU3ARcBlhdc6\nTkxBVzzZUeCfyRL7Wwvj6lXC8PCRfL+gnK1cuQSA4eEjcxyJ5loj3Qv1OiXbfNFI90IjquX97b2g\nIu8FFXkvCLwPJlu5cknT6bc6VbWmpusuvN4ZEas5kdi/iKyi/VlkT/C3AB+JiL2cSOy/k3dMkjRd\ne4b28o2uj7Np/wjLHjrGoccN8421PdD536ZMeA7ftYtDXbdxdKCfRW3tLOvcxtILL6pd4KdR7/HN\nVKN9nlqpdMpBr7ckSfWnalPTFaWUBoGPAx+PiEcDzwM6yZL7tYXN1hVe76xFTJJUzv47P8eLv3l4\nfH3Fg8d48TcPs+sxn2P9laWTncN37WLwhuvG14/e1ze+Xg8JT73HN1ON9nlqqZIpB73ekiTVp5oW\npUsp/Syl9BXg94G3Ap+d8HYTJ7rjS9KcOO9f+mfUDnCo67bS7bd35RLTbNV7fDPVaJ+nliqZctDr\nLUlSfarJU/CIeCzwfGAT8ALgOZPOXUzif1qLeCSpnGUP/WxG7QBHB0on+uXaa63e45upRvs8tbS6\neRX9I4OntE815aDXW5Kk+lSVZD4iHkPWnb6YvF8w4VwTn74fA74N3AnsAL5RjXgkabrGVq2AoQOn\ntreuKLvPorZ2jt7XV7K9HtR7fDPVaJ+nlrZ2bD5pzHzRVFMOer0lSapPuSbzEXEtWfJ+IXBmoXli\n8j4GfJcTyftXUkqHkaQ6cfYvv+yk8cHj7Ze/rOw+yzq3ldxn2WWducZWqXqPb6Yq/TzOUlDZlION\ndv9IktQo8n4y/w6yhL2YwB8D/p2ssv1XgR0ppeGczylJuSkW9Dp0e9eJyt2XdU5Z6KuSfWqp3uOb\nqUo+T6VV3BvR+tZ1M/rMjXb/SJLUKKo1Zr44N/o/A18gS+K/W6VzSVKull540YwTlUr2qaV6j2+m\nZvp5KqnirhMa7f6RJKkR5J3M/y2wGSgOpNtceBERw2TJ/U6y5P4/cz63JEklVVLFXZIkqZ7lmsyn\nlF4NEBE/D7yo8LoUWAqsAl5eeBER95El9sXk/p48Y5EkqaiSKu6SJEn1rCrzzKeUvpdS+vOU0i8D\ny8kq278b+DrwM7Ix9ecAVwEfA+6OiB9ExPXViEeStLBt7dhcsn2qKu6SJEn1rOrzzKeUjpEVwOsG\n3hsRzWRzzl9C9tT+AmAR8GTgXOCaasckSVpYKqniLkmSVM+qnsxPllIajYj7gYeAh8mK5U2sgC9J\nUu5mWsVdkiSpntUkmY+IJwK/UHi9kKzrfVExie8HumoRjyRJkiRJ81lVkvmIWAJs4kQC/9QJbxeT\n9zHgX4DbgC+klP6lGrFIklSp3fuH6Oruof/AKO0rmunc2MGGtRbNkyRJcy/XZD4i3kNWwf5C4FGF\n5ond50eBO8nmnu9KKQ3keX5JkvKye/8Q19+6b3y9b3hkfN2EXpIkzbW8n8y/i1PHv/eRPX2/Dbgz\npfTTnM8pSVLuurp7yrT3msxLkqQ5V60x83dxovv8v1bpHJIkVU3/gdGS7QMHR2ociSRJ0qnyTuZf\nS9Z9/v6cjyvNyJ6hvWzv2cHg6P2sbl7F1o7NValiXavzqHJ+R6pU+4pm+oZPTdzblrfMQTRzcZA5\nawAAIABJREFUy98jSZLqT67JfErpxjyPJ1Viz9Bebtx30/h6/8jg+Hqe//NZq/Oocn5Hmo3OjR0n\njZk/0b5mDqKZO/4eSZJUn86Y6wCkvG3v2VGy/Y7enfPyPKqc35FmY8PaVq65/HzOWbmYR53RxDkr\nF3PN5ecvuPHy/h5JklSfajLPvFRLg6OlR3kMjAzNy/Oocn5Hmq0Na1sXXPI+mb9HkiTVJ5/Mq+Gs\nbl5Vsr2tJd//Ia/VeVQ5vyNp9vw9kiSpPpnMq+Fs7dhcsn3Lmk3z8jyqnN+RNHv+HkmSVJ/sZq+G\nUyzIdEfvTgZGhmhraWXLmk2nLdQ002rNlZ5HteN3JM2ev0eSJNWnprGxsbmOQVMYHj5S11/QypVL\nABgePjLHkczO5GrNRVeff6X/wzpNjXIvaPa8F1TkvaAi7wUVeS8IvA8mW7lySVMl+1XUzT4iro6I\nl0TE8kr2l+qN1ZolSZIkzSeVdrO/FmgHrgH+utgYEa8u/LgjpdQ3y9ikmrFasyRJkqT5pNICeCsK\nywcntX8CuBF4dqUBSXPBas2SJEmS5pNKk/ljheWT8gpEmktWa5YkSZI0n1Tazb4PeCrwloj4AbAP\neGTC+6sioqJEP6V0T4UxSRWzWrM0d2Y6k0Qj8hpIkqSZqjSZvxX4X2Tj5v9h0ntNwPUVHndsFjFJ\ns7K+dZ3/8yzV2OSZJPpHBsfXF8rvo9dAkiRVotJu9v+H7Gl806RX0eT2mbwkSQuEM0l4DSRJUmUq\negqeUjocEeuBVwH/BVhM9oeB15A9Xf9nwO7ykqQpOZOE10CSJFWm4i7tKaWfAh+b2BYRryn8+KGU\n0q2zCUyS1PhWN6+if2TwlPaFNJOE10CSJFWi0m72U7GrvCRpWpxJwmsgSZIqk3exuXMLy9J9BiVJ\nmsCZJLwGkiSpMrkm8yml3sltEfEY4DlAK9nY+hGyqe2+m1IayfP8kqT5x5kkvAaSJGnmqjYNXEQ8\nC3gn8GJgUYlNfhYRdwLvSSndVa04JEmSJElqNFVJ5iPizcAfA4+i/Bj6M4GtwAsj4h0ppT+uRiyq\nL7v3D9HV3UP/gVHaVzTTubGDDWst8iRJkiRJM5F7Mh8RrwX+jGyKuibgAeDrwA/JutgvAZ4KPA9Y\nSpbUvz8iBlNKn8o7HtWP3fuHuP7WfePrfcMj4+sm9JIkSZI0fbkm8xGxCvhgYfUo8A7goymlh0ts\n+1jgjcC1wFnAX0TEF1NKw3nGpPrR1d1Tpr3XZF6SJEmSZiDvJ/O/BbSQPZW/MqX0D+U2TCn9BPjj\niPghcAvQDFwF/GnOMalO9B8YLdk+cNA6iJIkSZI0E3kn81vJEvl/miqRnyil9LmIuB24DHgpJvMN\nq31FM33Dpybubctb5iCaUx2+axeHum7j6EA/i9raWda5jaUXXjTXYWkCv6NMPV+HPUN7ufPbX6Hv\n8ACrm1extWOzVdqnoZ6/01ryOtSO11qS5r+8k/mnFJZfmOF+XyBL5s893Yaavzo3dpw0Zv5E+5o5\niOZkh+/axeAN142vH72vb3zd/7mpD35HmXq+DnuG9nLjvpvG1/tHBsfXTejLq+fvtJa8DrXjtZak\nxnBGzsdbWlgenOF+hwrLFTnGojqzYW0r11x+PuesXMyjzmjinJWLueby8+tivPyhrttKt9/eVeNI\nVI7fUaaer8P2nh0l2+/o3VnjSOaXev5Oa8nrUDtea0lqDHk/mT8ErGLmT9g7JuyvBrZhbWtdJO+T\nHR3on1G7as/vKFPP12Fw9P6S7QMjQzWOZH6p5++0lrwOteO1lqTGkPeT+b1k09H91+nuEBFNwKvI\nxtr/W87xSNOyqK19Ru2qPb+jTD1fh9XNq0q2t7XU3x/w6kk9f6e15HWoHa+1JDWGvJP5zxeWz4iI\nP5zmPn8APKPw8605xyNNy7LObaXbL+uscSQqx+8oU8/XYWvH5pLtW9ZsqnEk80s9f6e15HWoHa+1\nJDWGvLvZ/w3wv4Gzgf8vIs4H/jCltHvyhhFxUWHbTrKn8v3Ax3KOR5qWYsGfQ7d3najse1mnhYDq\niN9Rpp6vQ7HI3Y6+QjX7lla2rNlk8bvTqOfvtJa8DrXjtZakxtA0NjaW6wEj4hLgi8BZE5p/DNwN\njJDNQ38usLgYA/BT4IUppW/mGkwDGB4+ku8XlLOVK5cAMDx8ZI4j0VzzXlCR94KKvBdU5L2gIu8F\ngffBZCtXLmmqZL+8u9mTUvoqsAUYIEvUm4AlZF3pLyosl0x4bwDYYiIvSZIkSdL05J7MA6SUvg6c\nB7wZuBMY5UTy3lRY3wm8CTgvpfS1asQhSZIkSVIjynvM/LiU0sPAnxdeRMRisnnof5xSOlyt80qS\nTrV7/xBd3T30HxilfUUznRs7qjJN5O79Q2z/1h7uGTpC+/Lqnaee1epaS5Kkha1qyfxkKaUfk42d\nlyTV0O79Q1x/677x9b7hkfH1PJPMWp2nnnkNJElSrVSlm70kqX50dfeUae+dl+epZ14DSZJUKzV7\nMi9Jmhv9B0ZLtg8cHJmX56lntbwGe4b2sr1nB4Oj97O6eRVbOzY7DaAkSQuIybwkNbj2Fc30DZ+a\nTLYtb5mX56lULcay1+oa7Bnay437bhpf7x8ZHF83oZckaWGwm70kNbjOjR1l2tfMy/NUojiWvW94\nhONjY+Nj2XfvH8r1PLW6Btt7dpRsv6N3Z67nkSRJ9csn85LU4IpPn7u6exk4OELb8hY6N67J/al0\n8Xjbv3Uv9w4dqdp5KjHVWPY846vVtR4cvb9k+8BIvn+ckCRJ9ctkXpIWgA1rW2uSVG9Y28q2S88D\nYHj4SNXPN121HMtei2u9unkV/SODp7S3tcz9H04kSVJt2M1ektTw2lc0l2yvl/H8M7W1Y3PJ9i1r\nNtU4EkmSNFdM5iVJDa+ex/NXYn3rOq4+/0rOXtzGGU1ncPbiNq4+/0qL30mStIDYzV6S1PBqNZa9\nlta3rjN5lyRpATOZlyQtCLWqGyBJklQLVUnmI2IZcCVwEbAcOJPpdekfSym9MKcYHg28CfgN4Fxg\nALgReH9K6ZFp7L8MuBbYBqwCvgd8IKX0mRLbPhV4N/AiYBkwBNwGvCulNJzH55EkSZIkqSj3ZD4i\nXgz8HfC4Ge7aBIzlGMpHgdcDXwduBZ5Hlpw/E3jZVDtGRAvwJWAd8FngHuAK4NMRsTKl9JEJ264F\nvgksKZznB8BzgP8ObI2IC1NKB3L8XJIkSZKkBS7XAngRcQ5wC/B4suR8Jq8843guWSJ/C3BJSul3\ngUuATwJXRMS20xzizcCzgd9OKb0ypfQ2ssR+H/BHEbFqwrZ/SvaHi5enlF6aUnprSmkz8E6yHgHv\nyvOzSZIkSZKUdzX7twCPJXvC/h9kXdwvAJ5Kltie7vXknOL4rcLy91NKYwCF5dsLsb3uNPu/gayr\n/HXFhpTSEeAPgGayIQRExBKyrvXfTil9btIx3g88DLx4Vp9EkiRJkqRJ8u5mX0xce4GNKaWHcj7+\ndF0CHEgpfXdiY0qpPyK+D1xabseIeApwNnBLSunYpLd3FpaXAh8k+2PI24DBEoc6BvwMWFzRJ5Ak\naR7bM7SXO7/9FfoOD7C6eRVbOzaftvr+nqG9bO/ZweDo/dPeR5KkhSrvZP5JZE++b5irRD4izgLO\nAXaX2aQn2yxWlilO95TC8oeT30gpDUbEw8DTCusPkXWzL+UXyBL5cnFIktSQ9gzt5cZ9N42v948M\njq+XS84r2UeSpIUs72T+EbJu9qckwjW0rLB8sMz7xT8yPA4olcwvP83+hzlNcb+IaOZEkn/DVNue\nzsqVS2aze83MlzhVfd4LKvJeWLju/PZXSrbv6PsKL376xbnto/nHfxdU5L0g8D6YrbzHzN9dWM7l\nRL5nFpY/LfN+sf0xs9i/3L5ExCKyCvjnA59PKd1cPlRJkhpP3+GBGbUD3PtQf5n28vtIkrSQ5f1k\n/vNkVd9fBnzkNNtWy08Ky0Vl3j+rsByZxf4l9y1Maff3wFbgW8BVU0Y6DcPDR2Z7iKoq/jWt3uNU\n9XkvqMh7QaubV9E/cmo5mdUtrWXvizOOLuHYosOntDf9dIn3UgPw3wUVeS8IvA8mq7SHQt5P5j9E\nVgzu4oh4U87Hnq6HgOOU7wr/uAnblfLApO0mW1pq34hYSVYgbyuwC9hSqIAvSdKCsrVjc8n2LWs2\nld3n4XvPLdn+076OPEKSJKnh5PpkPqX0YET8MnAb8MGI2ELW5fy7ZGPQfzaNY9wzyxiORkQv2VR3\npZwLDKeUDpV5//sTtjtJRLSRdbFPk9rXAF8im4LvDuBXUkrlnvxLktTQ1reu4wd9D9E9/HUeefRh\nHv3IUp676vlTFrJbfcZ5DPwAHt3+I5oe82PGHl7Mz/qfTNujnlrDyCVJmj9yTeYjYv+E1SbgssJr\nusZyiunrwFUR8bSUUjE5JyLaySrRf6HcjimleyLiHuD5EXFGSun4hLdfUFh2TzjmCk4k8p8Brkop\nPZLDZ5AkaV7avX+IO750DNg43nYHxzj3sUNsWFu6rE7nxg6uv3WEY4faTm6/fE01Q5Ukad7Ku5v9\nzwEBrCysN1XwysMnC8s/jIgzACKiCXhfof10FeY/RTa93RuLDRGxBPg9sjH1n5qw7Q1kifzngCtN\n5CVJC11Xd0+Z9t6y+2xY28o1l5/POSsX86gzmjhn5WKuufz8ssm/JEkLXd4F8L5K9nR9TqWUvhwR\nnwF+FeiOiJ3Ac4GLgVuAruK2EfGewj7vmXCIDwCvAD4UEZeSTbV3BfBk4E3F+ekj4tnAS8k+cy/w\nroiYHM7DKaX35/wRJUmqW/0HRku2DxycegTahrWtJu+SJE1T3mPmX5Dn8WbpKmAf8OvA7wD3AO8C\nPpBSmvgHh3cXlu8pNqSUDkfExcAfAr8E/CLwH8CvpZQ+PWHfSwrLJuAtZeJ4CDCZlyQtGO0rmukb\nPjVxb1veMgfRSJLUmJrGxub8QbqmMDx8pK6/IKeVUJH3goq8F7R7/xDX37rvlHa7zS9c/rugIu8F\ngffBZCtXLqlouHne3ewlSdICV0zYt3/rXu4dOkLb8hY6N66pSiK/Z2gv23t2MDh6P6ubV7G1Y/OU\nVfMlSWoUVU3mI+K/AC8jK2fbCiwGRoA+4DvA51NKu6sZg6pn9/4htn9rD/cMHaF9eTOdGzt84iJJ\nArKEftul5wHVe/KyZ2gvN+67aXy9f2RwfN2EXpLU6KqSzEfEE4C/Bl5SZpO1wBbg/4uILuDqlNLB\nasSi6pjchbJveGR83YReklQL23t2lGy/o3enybwkqeHlPTUdEbEK+BZZIj+dqeg6gW8X9tM8Ucm0\nQ5Ik5Wlw9P6S7QMjQzWORJKk2qvGk/mbyaZwA7gP+HPgS2TTu40AS8jmZd8C/CbQDjyRbO72rVWI\nR1VQ6bRDyhy+axeHum7j6EA/i9raWda5jaUXXjTXYUlzwt8HVWp18yr6RwZPaW9rsYeYJKnx5ZrM\nR8QvkU3XNgbsAK5IKR2etNmDZE/uvxURHwH+HtgMvCgiNqWUduYZk6rDaYcqd/iuXQzecN34+tH7\n+sbXTWC00Pj7oNnY2rH5pDHzRVvWbJqDaCRJqq28u9n/WmE5BPxKiUT+JCmlh4CXAsU/q1+dczyq\nks6NHWXa19Q2kHnoUNdtpdtv76pxJNLc8/dBs7G+dR1Xn38lZy9u44ymMzh7cRtXn3+l4+UlSQtC\n3t3sN5I9lb8xpTSt0rUppSMR8XHgfwPPyTkeVUktpx1qNEcH+mfULjUyfx80W+tb15m8S5IWpLyT\n+WIm928z3O/fC8sn5RiLqqwW0w41okVt7Ry9r69ku7TQ+PuQ2b1/iK7uHvoPjNK+wqk+JUnS6eXd\nzf5nheVZM9yvuP3xHGOR6tKyzm2l2y/rrHEk0tzz9+HEVJ99wyMcHxsbn+pz934rskuSpPLyfjJ/\nL/BzwPOBT85gv4sLy1Mfz0gNpljU69DtXSeqd1/WabEvLUj+Pkw91adP5yVJUjl5J/NfAX4euCoi\n/m9KKZ1uh4j4OeBVZGPt/znneKS6tPTCixZUsiJNZaH/PjjVpyRJqkTe3eyvLywXAdsjYsqCdhGx\nHvgiJ7rZ/1XO8UiSVNfaVzSXbHeqT0mSNJVcn8ynlP41Im4AXg88EdgdEV8Gvgz8ABgBWoDzgBcV\nXk1kT+X/OqW0N894JEmqd50bO7j+1n0l2p3qU5IklZd3N3uANwOrgcvJEvVfKLxKaSosbwfeWIVY\nJEmqa8Vx8V3dvQwcHHGqT0mSNC25J/MppZ9GxK+QJedv58R0daUMAH8MfCilNJZ3LJIkzQcb1raa\nvEuSpBmpxpN5UkrHgQ9HxEeBi4CNZE/rlwI/JkvidwG7UkqPVCMGSZIkSZIaVVWS+aKU0jHgG4WX\nJEmSJEnKQd7V7CVJkiRJUpVV9GQ+Ii4p/pxS+mqp9kpNPJ7q256hvdz57a/Qd3iA1c2r2NqxmfWt\n6+Y6LEnSFHbvH6Kru4f+A6O0r2imc2OH4/UlSZqHKu1m/89k08mNTTpGsb1Sk4+nOrVnaC837rtp\nfL1/ZHB83YRekurT7v1DJ02D1zc8Mr5uQi9J0vwym272TZyYWq5Ue6UvzQPbe3aUbL+jd2eNI5Ek\nTVdXd0+Z9t6axiFJkmav0qfgfzPDdjWYwdH7S7YPjAzVOBJJ0nT1Hxgt2T5wcKTGkUiSpNmqKJlP\nKV09k3Y1ntXNq+gfGTylva3FbpqSVK/aVzTTN3xq4t62vGUOopEkSbNhNXtVZGvH5pLtW9ZsqnEk\nkqTp6tzYUaZ9TW0DkSRJs5ZrsbmI+Hjhxw+nlPbOYL8XAH8EnJVSsnraPFAscrejr1DNvqWVLWs2\nWfxOkupYschdV3cvAwdHaFveQufGNRa/kyRpHsq7cvyvk1Wk/0dg2sk8sBy4APhJzvGoita3ruPF\nT78YgOHhI3McjSRpOjasbTV5lySpAdRLN/sLCsvZTGsnSZIkSdKCUNGT+Yj4beAlU2zyfyLid6Zx\nqDOAJwBPJ0vk764kHkmSJEmSFpJKu9nfDPw+sLTEe03A+TM8XhNZMv+xCuORJEmSJGnBqKibfUpp\nEHgHWRI+8VU0ub3cC2AE+B7wjpTSByuJR5IkSZKkhaTiAngppY8CH53YFhHHyZ6wvzSldOssY5Mk\nSZIkSSXkXc0eTn5CL83anqG9bO/ZweDo/axuXsXWjs1OgSdJkiRpQcs7mT+3sLz/dBtGRFNKyer1\nmtKeob3cuO+m8fX+kcHxdRN6SQvZ7v1DdHX30H9glPYVzXRu7HDKOUmSFpBck/mUUm/x54h4AfBq\n4M9SSv8+cbuIWALcGxFfBj6cUvpqnnGocWzv2VGy/Y7enSbzkhas3fuHuP7WfePrfcMj4+sm9JIk\nLQy5zzMfEY+JiFuAO4HXAM8ssdmTySrhvxTYGRF/ERF2z9cpBkdLd/IYGBmqcSSSVD+6unvKtPeW\nbJckSY0n92Qe+AxZkl6sWP+UEtucBfRO2OYa4MNViEXz3OrmVSXb21p88iRp4eo/MFqyfeDgSI0j\nkSRJcyXXZD4ifgn4pcLqIPBK4H2Tt0sp3ZVSOhe4FPgPsoT+DRFxUZ7xaP7b2rG5ZPuWNZtqHIkk\n1Y/2Fc0l29uWt9Q4EkmSNFfyfjL/64XlEeDClNLNKaWj5TZOKX0N+AXgx4Wm38w5Hs1z61vXcfX5\nV3L24jbOaDqDsxe3cfX5VzpeXtKC1rmxo0z7mtoGIkmS5kze1ewvJJtn/i9TSn3T2SGldF9E/BXw\nFuDinONRA1jfus7kXZImKBa56+ruZeDgCG3LW+jcuMbid5IkLSB5J/MrC8t/m+F+/1pYtuUYiyRJ\nDWvD2laTd0mSFrC8u9k/VFiWHsx3ej/NKxBJkiRJkhpV3sl8cU6cF85wv0sLy3tzjEWSJEmSpIaU\ndzL/T2SV6V8eEc+bzg4RsQ54FdlY+ztzjkeSJEmSpIaTdzJ/I3CscNzbIuLVEVHyHBHRFBEvB7YD\nZxb2+4uc45EkSZIkqeHkWgAvpdQTEW8HPgAsJUvuPxAR3UAPMEo2nv5JwEaglexJ/hjwvpTS9/OM\nR5IkSZKkRpR3NXtSSn8SESuA/wk8ClgFXF5m86bC8k9TSu/OOxY1hsN37eJQ120cHehnUVs7yzq3\nsfTCi3LfR9LJGu33qNE+T6VqdR0O37WLvu23M3pvX9XPU6/fay2vdb1eA0lS9TSNjY1V5cAR8Rzg\nrcAvkj2ln+wR4EvAB1JKX61KEA1gePhIdb6gnKxcuQSA4eEjVTn+4bt2MXjDdae0r379fy/7PyqV\n7KPZq/a9oNqaze9RPd4L/ruQqdV1aLTzVMJrcLJ6/HdBc8N7QeB9MNnKlUuaTr/VqfIeMz8upfTt\nlNIryeaefxZZUv9fgZcCzwUel1LaZiKvqRzquq10++1due4j6WSN9nvUaJ+nUrW6Do12nkp4DSRJ\n1ZZ7N/vJUkqPAP9a7fOoMR0d6J9Re6X7SDpZo/0eNdrnqVStrkOjnacSXgNJUrVV7cm8lIdFbe0z\naq90H0kna7Tfo0b7PJWq1XVotPNUwmsgSaq2qibzEbEiIp4UEedGxJMnvZ4SET8XEesi4tKIeHNE\nfKua8Wj+Wda5rXT7ZZ257iPpZI32e9Ron6dSlV6H3fuHeNfHdvO6P9rJuz62m937h6pynpmq5+/V\nayBJqrbcu9lHRAtwLXAVsDzv42thKRbvOXR714kqvZd1TlnUp5J9JJ2s0X6PGu3zVKqS67B7/xDX\n37pvfL1veGR8fcPa1inPc/iOf+In9/ZxZpWu9/cWn8tXWy9m4wPfZfnRBzm46PF0P+HpXLL4XDbk\neqaZq9U9570tSQtXrtXsI6IJuBO4lBPTzs3E8ZRS1cfxzycLvZq95g/vBRV5LzSWd31sN33DI6e0\nn7NyMde+9sIp9632vTCb2FRb/rugIu8FgffBZJVWs887cb4CeAFQTEAHgbuBp5I9pf8RMAA8odC2\naMK2vwt8Nud4JEnSLPQfGC3ZPnDw1CS61iqNbff+Ibq6e+g/MEr7imY6N3aU7WUgSVK9ynvM/Msm\n/Pz6lFJ7Sul5wF+SPan/VkrpkpTSM8iS+3cCxwrbPyul1JNzPJIkaRbaVzSXbG9b3lLjSE5VSWzF\nYQN9wyMcHxsbHzZwujoAkiTVm7yT+QvJnrR/IaX01xPav1ZYvqjYkFIaSSn9AfA7ZIn+r0bExpzj\nkSRJs9C5saNM+5raBlIyho4y7eVj6+ruKdPeO/uAJEmqoby72RcL3t0xqb04z/zyiDg3pXR38Y2U\n0l9ExG8Ca4H/BnTnHJPqyJ6hvWzv2cHg6P2sbl7F1o7NrG9dN9dhSZLKKHY/7+ruZeDgCG3LW+jc\nuKYuuqVXEls9DxuQJGkm8k7mH1NYDk5sTCkNR8QDwOOBZ5CNo5/oZuD3gQtyjkd1ZM/QXm7cd9P4\nev/I4Pi6Cb0k1a8Na1vrInkvZaaxta9oLlk0rx6GDUiSNBN5d7N/oLA8q8R7PyosY4r35r7Pnqpm\ne8+Oku139O6scSSSpIWqnocNSJI0E3k/mb8HWAn8fIn3fgg8B3h6ifcWFZb+WbyBDY7eX7J9YMSi\nQ5Kk2qjnYQOSJM1E3sn814D1wKsj4o9SShP7sX2vsHxBRDSllCbOn76+sHTAWgNb3byK/pHBU9rb\nWvwfKElS7dTzsAFJkqYr7272xQHRTwS+ERFbIqKp0PbVwvIc4N3FHSLiYrLCd2OcSPjVgLZ2bC7Z\nvmXNphpHIkmSJEnzW67JfErp28Dfk0019wzgn4AXF97+ZyAVfn5nRPwwIv4N2MGJMfZ/n2c8qi/r\nW9dx9flXcvbiNs5oOoOzF7dx9flXWvxOkiRJkmYo7272AK8mS863kT1tvxsgpTQWEa8HvgScCXQU\nti8+uf8e8NEqxKM6sr51ncm7JEmSJM1S3t3sSSn9JKV0OfALwMc4UamelNLXgK1kT+ibCq8x4Dbg\nhSmlh/OOR5IkSZKkRlONJ/MApJTuBO4s0f4VYG1EnAesAO5OKVnOXJIkSZKkaco1mY+IT5BNL3dD\nSulLU22bUvoB8IM8zy9JkiRJ0kKQ95P5S4EnAcfJxsZLkiRJkqSc5T1mfnVh+U85H1eSJEmSJBXk\n/WT+QWAVsCjn40qSJM0re4b2sr1nB4Oj97O6eRVbOzafdkaXSvaRJC1MeT+Z/wxZhfo3RMRjcz62\nJEnSvLBnaC837ruJ/pFBjo8dp39kkBv33cSeob257iPp/2/vzuPkLuqEj3/CbcKxknMCmCBILSCH\nLgJBroAGJSy7K+KJrquurIKLq/u4ul6IK7Lqeq26ggeILo8HezxI4EmQxAMNwbhGJfH5omICYSbD\ncCVhAgTIPH/Ur5NOp7tnpjPT093zeb9e8+ru+lX1r7q6Zqa/Xb+qksavkR6Zfw9wNHA6sCyl9Ang\nRxGxZoTPI0mS1LIWrl5cNX3RmiU1R9obKQOwbFUvC5aupvuBTcycMpH5c2ZzwhHTh11nSVJ7Gelg\n/lPkFepPBI4ErgFIKT1OvgT/iUHKD0TEISNcJ0mSpKZat+n+quk9/bV3422kzLJVvVx5w8qtj9f2\n9W99bEAvSZ1tpIP5vwEGKtImAM8A9hqk7IQqZSVJktrOjInT6O5ft0N616TaAXYjZRYsXV0jfY3B\nvCR1uJGeMw85KC//qZVeK58kSVJbO2v2GVXT582aO6Jluh/YVDW958H+OrWTJHWCER2Zj4jR+HKg\nISml3YC3A38NHAz0AFcDV0TEk0Movz9wGXAOeYX+3wAfj4hvD1LuWOBnwPkR8d879SIkSVJbKs1x\nX7RmCT39vXRNms68WXPrzn1vpMzMKRNZ27dj4N41edJOvgJJUqtrKJhPKX0PeBr4RET8ZGSrNGK+\nALwFuA24AXghOTg/Bnh5vYIppUnALcCxwHeBe4DzgG+llKZGxOdrlJsBXM/IT1+QJEkevBFqAAAg\nAElEQVRt5rjpxw57W7nhlpk/Z/Z2c+a3pc8a1nklSe2n0ZH0k4A/JY94b5VSWlz8nLTTNdsJxfnf\nQg6sT42I9wCnAtcC56WUzhnkKS4Bng/8bUS8KiLeTQ7sVwL/nFKaVuWcxwA/AVzAT5IkNcUJR0zn\nwnOP5MCpe7PrLhM4cOreXHjukc6Xl6RxoNER5H2K26cr0k8nL2I3pdEKjZCLitsPR8QAQEQMpJTe\nC7wOeDNwY53ybwN6gS+VEiJiY0rpo8B1wGuAz5SOpZQ+Tv4C4GnylQAnj9xLkSRJqu2EI6YbvEvS\nONToyPz64nbOSFVkhJ0KPBARd5YnRkQ3cBdwWq2CKaVDgAOAH0dE5ZcVS4rbyvL/izxP/k+AW3ei\n3pIkSZIkDarRkflVwCnA21JKBwF3AuWLyr2qWAhu2CLisgbrBEBKaU/gQGBZjSyrc7Y0NSL6qhwv\nXSb/+yp1W5dSehw4rOLQ/Ii4qTh/Q/WWJEmSJGmoGg3mryQH8xOAc4ufkgnAK3eiTjsVzAP7F7eP\n1DheuqpgP6BaMD95kPIbirJblQL50TB16j6DZ2oB7VJPjT77gkrsCyqxL6jEvqAS+4LAfrCzGgrm\nI+K6lNLBwAeAPapkaXTf+IEGy5Xbvbh9osbxUvpeO1F+YgP1kiRJbepHv1jLd2/9Lff0buRZ0/fh\n/DOfw6nPO3CsqyVJGsca3kItIj6aUvo0kIC9gV2BxeSA/APkld3HwmPFbbUvGQD2LG533JR16OVr\nlR1xfX0bm3WqhpS+TWv1emr02RdUYl9QSaf0hWWrerfb/m11zwY+8c2fs2HD4y48N0Sd0he08+wL\nAvtBpUavUNip/dAjYhPwi9Ljsvnid0bED3fmuXfCemALFZfCl9mvLF81D1fkq7QveaV7SZI0DixY\nurpG+hqDeUnSmGl0NftaflT8PDDCzztkEbEZWAMcXCPLwUBfRDxU4/hdZfm2k1LqIl+eHztbT0mS\n1B66H9hUNb3nwaZdqCdJ0g5GNJiPiNMjYm5E/HQkn7cBtwEzUkrbrTqfUppJXon+9loFI+Ie4B7g\n5JRSZfucXtwuHbmqSpKkVjZzSvWlcromT2pyTSRJ2manLrNvYdcCrwMuTym9IiK2pJQmAB8rjl81\nSPlvAO8DLgY+B5BS2qdIe6w4LkmS2tCGO27noQU3srmnmz26ZrL//HPY9/gTa+afP2c2P/r3G5nz\n8K+Zsnk9D+yxH0ufeRSnnntOE2vdvjbccTtrF97EpnvXDqm9d+Y8w3lfJanddWQwHxHfTyl9m7xF\n3tKU0hLgJPJ2etcDC0p5U0qXFmUuLXuKjwOvAD6bUjqNvOf8ecCzgbfX2J9ekiS1uA133M66q760\n9fHm+9ZufVwr8Dv80T/wzN4fb308bfMj/Fnvj5nx6JHA2M+ZX967goWrF7Nu0/3MmDiNs2afwXHT\njx3ragGNtXcrn0eSWslIz5lvJa8DPghMAd4BzCgeXxAR5Vvgfaj42SoiNpAD/68VtxeR951/dUR8\nfvSrLkmSRsNDC26snn7TgqrpjZZpluW9K7h65XV0969jy8AWuvvXcfXK61jeu2KsqwY0r+1a+T2S\npNHSkSPzABHxJPCR4qdevgk10nuBNzVw3kuBS4dbTpIkjb7NPd3DSm+0TLMsXL24avqiNUtaYnS+\nWW3Xyu+RJI2WTh6ZlyRJ2s4eXTOHld5omWZZt+n+quk9/a2xi26z2q6V3yNJGi0G85IkadzYf371\nRev2P3v+iJZplhkTp1VN75o09nP5oXlt18rvkSSNlo69zF6SJKlSaTG0h25asG3V87Pn110krZEy\nAMtW9bJg6Wq6H9jEzCkTmT9nNiccMbJB9lmzz+DqldftkD5v1twRPU+jSm20YdHNPHbvWnYfYts1\nep7hvkeS1M4mDAwMDJ5LY6avb2NLv0FTp+4DQF/fxjGuicaafUEl9gWVjOe+sGxVL1fesHKH9AvP\nPXLEA/rlvStYtGYJPf29dE2azrxZc1tivny58dwXtD37gsB+UGnq1H2qruM2GEfmJUmSRtiCpatr\npK8Z8WD+uOnHtlzwLkkafQbzkiRJI6z7gU1V03se7G9yTaprxhQASdLoMpiXJEkaYTOnTGRt346B\ne9fkSWNQm+1VTgFY29e/9bEBvSS1D1ezlyRJGmHz58yukT6ruRWpot4UAElS+3BkXpIkaYSVRrgX\nLF1Dz4P9dE2exPw5s1pi5LvVpwBIkobGYF6SJGkUnHDE9JYI3iu18hQASdLQGcxLkiQNYnnvChau\nXsy6TfczY+I0zpp9RtuuID9/zuyq2+a1whQASdLQGcxLkiTVsbx3BVevvG7r4+7+dVsft2NA38pT\nACRJQ2cwL0mSVMfC1Yurpi9as6Qtg3lo3SkAkqShczV7SZKkOtZtur9qek9/b5NrIknSNgbzkiRJ\ndcyYOK1qetckR7YlSWPHYF6SJKmOs2afUTV93qy5Ta6JJEnbOGdekiSpjtK8+EVrltDT30vXpOnM\nmzW3befLS5I6g8G8JEnSII6bfqzBuySppXiZvSRJkiRJbcaReUmSpBaxbFUvC5aupvuBTcycMpH5\nc2a7hZwkqSqDeUmSpBawbFUvV96wcuvjtX39Wx8b0EuSKnmZvSRJUgtYsHR1jfQ1Ta2HJKk9GMxL\nkiS1gO4HNlVN73mwv8k1kSS1Ay+zlyRJ48ry3hUsXL2YdZvuZ8bEaZw1+4yWWKl+5pSJrO3bMXDv\nmjxpDGojSWp1jsxLkqRxY3nvCq5eeR3d/evYMrCF7v51XL3yOpb3rhjrqjF/zuwa6bOaWxFJUltw\nZF6SJI0bC1cvrpq+aM2SMR+dLy1yt2DpGnoe7Kdr8iTmz5nl4neSpKoM5iVJ0rixbtP9VdN7+nub\nXJPqTjhiescF78tW9bLwZ8u5p3cjMye73Z4kjRSDeUmSNG7MmDiN7v51O6R3TTK4HA1utydJo8c5\n85Ikadw4a/YZVdPnzZrb5JqMD263J0mjx5F5SZI0bpTmxS9as4Se/l66Jk1n3qy5Yz5fvtmataK/\n2+1J0ugxmJckSePKcdOPHXfBe7nSiv4lpRX9gRFvF7fbk6TR42X2kiRJ40i9Ff1HmtvtSdLocWRe\nkiRpHGnmiv6lRe4W/uxe7u3d6HZ7kjSCDOYlSZLGkWav6H/CEdM557RDAejr2zgq55Ck8cjL7CVJ\nksYRV/SXpM7gyLwkSdI44or+ktQZDOYlSZLGmfG+or8kdQIvs5ckSZIkqc04Mq+m2nDH7Ty04EY2\n93SzR9dM9p9/Dvsef+JYV0uSJA1Bs/6Pd9p5lG2443bWLryJTfeutb2HwX6qWgzm1TQb7riddVd9\naevjzfet3frYP0iSJLW2Zv0f77TzKLO9G2O7qR4vs1fTPLTgxurpNy1ock0kSdJwNev/eKedR5nt\n3RjbTfUYzKtpNvd0DytdkiS1jmb9H++08yizvRtju6keL7NX0+zRNZPN962tmi5Jklpbo//Hl/eu\n4Naf/5C1G3qYMXEaZ80+o+5K+s36vNDMzyXLe1ewcPVi1m26f0ht0GiZVubnwMbYbqrHkXk1zf7z\nz6mefvb8JtdEkiQN1yMnH1U9/YXPrVlmee8Krl55Hfesv48tA1vo7l/H1SuvY3nvihE9TyOa9bmk\n1Abd/euG3AaNlGl1fg5sjO2mehyZV9OUFul46KYF21bjPHu+i3dIktQGFux7H3uftC/HrdrE/uuf\n4qH9dmP5ERPp36+bWuPFC1cvrpq+aM2SmqPMjZynEc36XNJIGzRSptWV2nXDopt57N617O7nwCHx\n87PqMZhXU+17/In+8ZEkqQ2t23Q/W2bvxV2z99oufZf+3rplqumpU6anv5eBKueZ8GjtMo1qxueS\nRtqgkTLtYN/jT+SQ+S8GoK9v4xjXpn34+Vm1eJm9JEmSBjVj4rSq6V2Tpo9omV0271M9/Ynq6a2u\nWe0mafwxmJckSdKgzpp9RtX0ebPmjmiZx+89uGr6E2tn165cC2tWu0kaf7zMXpIkSYMqzdVetGYJ\nPf29dE2azrxZc+vO4S4dW7y2WM1+CGVm7HIoPb+D3WbezYS9HmXg8b15qvvZdO36nLr1W7aqlwVL\nV9P9wCZmTpnI/DmzOeGIsR/J3pl2G04ZSePPhIGBgbGug+ro69vY0m/Q1Kn5kjfnPcm+oBL7gkrs\nCyoZTl9YtqqXK29YuUP6heceWTM4b6SMxoZ/FwT2g0pTp+4zoZFyjsxLkiSpZZSC7wVL19DzYD9d\nkycxf86sukH5gqWra6SvMZiX1LEM5iVJktRSTjhi+rCC8O4HNlVN73mwf6SqJEktxwXwJEmS1NZm\nTplYNb1r8qQm10SSmsdgXpIkSW1t/pzZNdJnNbciktREXmYvSZKkttbIPHtJancG85IkSRqSVt3+\nDYY/zx5gee8KFq5ezLpN9zNj4jTOmn1Gy2z/1sptLak1GMxLkiRpUJXbv63t69/6uB2DzOW9K7h6\n5XVbH3f3r9v6eKwD+k5ra0mjwznzkiRJGlS97d/a0cLVi6umL1qzpMk12VGntbWk0WEwL0mSpEF1\n2vZv6zbdXzW9p7+3yTXZUae1taTRYTAvSZKkQXXa9m8zJk6rmt41aewvY++0tpY0OgzmJUmSNKhO\n2/7trNlnVE2fN2tuk2uyo05ra0mjwwXwJEmSNKhO2/6ttMjdojVL6OnvpWvSdObNmjvmi99B67d1\nK+8CII0nBvOSJEkakka2f2tlx00/tilBaCPbzLVqW7fyLgDSeONl9pIkSdIoKW0zt7avny0DA1u3\nmVu2auwX2mvEf8Wiqun/Hbc0uSaSDOYlSZKkUdJp28w98uSDVdMffvKBJtdEksG8JEmSNEo6bZu5\nL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3lJkiRJktqMwbwkSZIkSW3GYF6SJEmSpDZjMC9JkiRJUpsxmJckSZIkqc0Y\nzEuSJEmS1GYM5iVJkiRJajMG85IkSZIktRmDeUmSJEmS2ozBvCRJkiRJbcZgXpIkSZKkNmMwL0mS\nJElSm/n/gPTI6tMx/cEAAAAASUVORK5CYII=\n", "text/plain": [ "<matplotlib.figure.Figure at 0x10cc92b70>" ] }, "metadata": { "image/png": { "height": 348, "width": 505 } }, "output_type": "display_data" } ], "source": [ "plt.plot(age_female_10.value_counts()/len(age_female_10),\n", " marker='.',linestyle='',label = 'women 10Km')\n", "plt.plot(age_female_21.value_counts()/len(age_female_21),\n", " marker='.',linestyle='',label = 'women 1/2 marathon')\n", "plt.plot(age_female_42.value_counts()/len(age_female_42)\n", " ,marker='.',linestyle='',label = 'women marathon')\n", "\n", "plt.xlabel('runner\\'s age',size=16)\n", "plt.ylabel('fraction of women runners',size=16)\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "# Save data for visualization\n", "lausanne_marathon_viz[\"age_distribution\"][\"women\"] = {\n", " \"10km\": {\n", " \"ages\": [int(age) for age in (age_female_10.value_counts()/len(age_female_10)).index.tolist()],\n", " \"counts\": [float(count) for count in (age_female_10.value_counts()/len(age_female_10)).values.tolist()]\n", " },\n", " \"21km\": {\n", " \"ages\": [int(age) for age in (age_female_21.value_counts()/len(age_female_21)).index.tolist()],\n", " \"counts\": [float(count) for count in (age_female_21.value_counts()/len(age_female_21)).values.tolist()]\n", " },\n", " \"42km\": {\n", " \"ages\": [int(age) for age in (age_female_42.value_counts()/len(age_female_42)).index.tolist()],\n", " \"counts\": [float(count) for count in (age_female_42.value_counts()/len(age_female_42)).values.tolist()]\n", " }\n", "}" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "__Statistical test on women's age, by category__:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.069158670333121799, pvalue=0.00025867599203266173)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(age_female_21,age_female_10)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.082361950140389606, pvalue=0.14421995770930032)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(age_female_42,age_female_21)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.13244659796146291, pvalue=0.0014767471293253094)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(age_female_42,age_female_10)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Conclusion: __only__ women who run the 10Km are significantly _younger_ than the ones who run 21Km and 42Km:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "women mean age 10km: 36.11\n", "women mean age 21km: 37.48\n", "women mean age 42km: 39.16\n" ] } ], "source": [ "print('women mean age 10km:',np.round(age_female_10.mean(),2)) \n", "print('women mean age 21km:',np.round(age_female_21.mean(),2))\n", "print('women mean age 42km:',np.round(age_female_42.mean(),2))" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "### Men age distribution, by race:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false }, "scrolled": true }, "outputs": [ { "data": { "image/png": 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XT0gv40gkSZISS7kl80EQJAdBUHs/tX0iMAQYB/QIw/A3QA/gJeC8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\n9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"text/plain": [ "<matplotlib.figure.Figure at 0x10d24bac8>" ] }, "metadata": { "image/png": { "height": 348, "width": 505 } }, "output_type": "display_data" } ], "source": [ "plt.plot(age_male_10.value_counts()/len(age_male_10),\n", " marker='.',linestyle='',label = 'men 10Km')\n", "plt.plot(age_male_21.value_counts()/len(age_male_21)\n", " ,marker='.',linestyle='',label = 'men 1/2 marathon')\n", "plt.plot(age_male_42.value_counts()/len(age_male_42),\n", " marker='.',linestyle='',label = 'men marathon')\n", "\n", "plt.xlabel('runner\\'s age',size=16)\n", "plt.ylabel('fraction of men runners',size=16)\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "# Save data for visualization\n", "lausanne_marathon_viz[\"age_distribution\"][\"men\"] = {\n", " \"10km\": {\n", " \"ages\": [int(age) for age in (age_male_10.value_counts()/len(age_male_10)).index.tolist()],\n", " \"counts\": [float(count) for count in (age_male_10.value_counts()/len(age_male_10)).values.tolist()]\n", " },\n", " \"21km\": {\n", " \"ages\": [int(age) for age in (age_male_21.value_counts()/len(age_male_21)).index.tolist()],\n", " \"counts\": [float(count) for count in (age_male_21.value_counts()/len(age_male_21)).values.tolist()]\n", " },\n", " \"42km\": {\n", " \"ages\": [int(age) for age in (age_male_42.value_counts()/len(age_male_42)).index.tolist()],\n", " \"counts\": [float(count) for count in (age_male_42.value_counts()/len(age_male_42)).values.tolist()]\n", " }\n", "}" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "__Statistical test on men's age, by category:__" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.032486447956996067, pvalue=0.11434962823975953)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(age_male_21,age_male_10)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.11752974790668802, pvalue=5.5649755760621104e-10)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(age_male_42,age_male_21)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.11826437956082847, pvalue=9.1469336246093692e-10)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(age_male_42,age_male_10)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Conclusion: __only__ men who run the 42Km are significantly _older_ than the ones who run 10Km and 21Km:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "men mean age 10km: 40.26\n", "men mean age 21km: 39.88\n", "men mean age 42km: 42.15\n" ] } ], "source": [ "print('men mean age 10km:',np.round(age_male_10.mean(),2)) \n", "print('men mean age 21km:',np.round(age_male_21.mean(),2))\n", "print('men mean age 42km:',np.round(age_male_42.mean(),2))" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "### Age distribustions, by sex" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/html": [ "<div>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>statistic</th>\n", " <th>pvalue</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>10Km</th>\n", " <td>0.142575</td>\n", " <td>3.487088e-23</td>\n", " </tr>\n", " <tr>\n", " <th>21Km</th>\n", " <td>0.096879</td>\n", " <td>2.448399e-08</td>\n", " </tr>\n", " <tr>\n", " <th>42Km</th>\n", " <td>0.144672</td>\n", " <td>8.376947e-04</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " statistic pvalue\n", "10Km 0.142575 3.487088e-23\n", "21Km 0.096879 2.448399e-08\n", "42Km 0.144672 8.376947e-04" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "age_sex_df = pd.DataFrame([stats.ks_2samp(age_female_10,age_male_10),\n", " stats.ks_2samp(age_female_21,age_male_21),\n", " stats.ks_2samp(age_female_42,age_male_42)])\n", "\n", "age_sex_df.set_index([['10Km','21Km','42Km']])" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Conclusions: women are significantly _younger_ than man, in _all_ competitions" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "mean for 10km f/m: 36.11 40.26\n", "mean for 21km f/m: 37.48 39.88\n", "mean for 42km f/m: 39.16 42.15\n" ] } ], "source": [ "print('mean for 10km f/m:',np.round(age_female_10.mean(),2),np.round(age_male_10.mean(),2))\n", "print('mean for 21km f/m:',np.round(age_female_21.mean(),2),np.round(age_male_21.mean(),2))\n", "print('mean for 42km f/m:',np.round(age_female_42.mean(),2),np.round(age_male_42.mean(),2))" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "# Stats on town of residence" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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ubPN8AIPAdHAAALSh7R743y+lfKCUcmPL5wXoLNPBAQDQhrYD/MOSfF2S61s+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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "<matplotlib.figure.Figure at 0x10cc1fda0>" ] }, "metadata": { "image/png": { "height": 349, "width": 504 } }, "output_type": "display_data" } ], "source": [ "lieu_distr = trial_dataset.lieu.value_counts().value_counts()\n", "\n", "plt.loglog(lieu_distr,marker='.',linestyle='')\n", "plt.xlabel('number of runners, per town',size=16)\n", "plt.ylabel('number of towns',size=16);" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "# Save data for visualization\n", "lausanne_marathon_viz[\"towns\"] = {\n", " \"num_runners\": [int(num) for num in lieu_distr.index.tolist()],\n", " \"num_towns\": [int(num) for num in lieu_distr.values.tolist()]\n", "}" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "## Fitting runners' towns distribution" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "import powerlaw" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "data_for_fit = trial_dataset.lieu.value_counts()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fitted exponent: 1.90231050208\n", "fitting error: 0.0289267466596\n", "xmin of the fit: 2.0\n", "xmax of the fit: None\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Calculating best minimal value for power law fit\n", "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/powerlaw.py:692: RuntimeWarning: invalid value encountered in true_divide\n", " (Theoretical_CDF * (1 - Theoretical_CDF))\n" ] } ], "source": [ "fit_runners_race = powerlaw.Fit(data_for_fit,discrete=True)\n", "\n", "print('fitted exponent:',fit_runners_race.alpha)\n", "print('fitting error:',fit_runners_race.sigma)\n", "\n", "print('xmin of the fit:',fit_runners_race.xmin)\n", "print('xmax of the fit:',fit_runners_race.xmax)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "image/png": 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pNR4dEdqofkMDQjR94E369aBbFRZwsi+H06Ev0r/V/617TvvzMxp1DgAAAAAn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\njjVNc8Wpwco+R0kaZZpmRY1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hb1pHivP0ZuoibT/ivvAswB6ga/peqUu6X8hsP1oExgIA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\n9U31XZHUD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"text/plain": [ "<matplotlib.figure.Figure at 0x10d25b4a8>" ] }, "metadata": { "image/png": { "height": 354, "width": 510 } }, "output_type": "display_data" } ], "source": [ "powerlaw.plot_pdf(data_for_fit,marker='.',linestyle='',label='data')\n", "fit_runners_race.power_law.plot_pdf(label='p-l fit')\n", "\n", "plt.legend()\n", "plt.xlabel('number of runners, per town',size=16)\n", "plt.ylabel('number of towns',size=16);" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "# Stats on race time" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Define helpful function for mean of datetime objects:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "def my_dt_mean(race,sex):\n", " \n", " my_list = [datetime.datetime.strptime(my_t,'%H:%M.%S,%f')\n", " for my_t in trial_dataset[(trial_dataset.cat==race) & \n", " (trial_dataset.sex==sex)].temps]\n", " \n", " my_mean = min(my_list) + sum([my_dt - min(my_list) for my_dt in my_list],\n", " datetime.timedelta(0)) / len(my_list)\n", "\n", " return my_mean.strftime('%H:%M.%S')" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "## Times distributions, by sex" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "### Times for marathon:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "times_42_male = pd.to_datetime(trial_dataset[m42].temps,format='%H:%M.%S,%f').dt.time\n", "times_42_female = pd.to_datetime(trial_dataset[f42].temps,format='%H:%M.%S,%f').dt.time" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false }, "scrolled": true }, "outputs": [ { "data": { "image/png": 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fz57pdnTadjnJqhbbpl/+K9oJaF3Wtq511dB2QLP0OrlcCrwI/KiKY/3S7Zt1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\n7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"text/plain": [ "<matplotlib.figure.Figure at 0x10d0af358>" ] }, "metadata": { "image/png": { "height": 348, "width": 528 } }, "output_type": "display_data" } ], "source": [ "times_42_male.hist(label='male marathon',normed=True,alpha=0.3)\n", "times_42_female.hist(label='female marathon',normed=True,alpha=0.3)\n", "\n", "plt.xlabel('time to complete the race',size=16)\n", "plt.ylabel('fraction of runners',size=16)\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "def time_to_seconds(dt_time):\n", " # ignores precision after seconds\n", " return dt_time.hour*3600 + dt_time.minute*60 + dt_time.second\n", "\n", "# Save data for visualization\n", "lausanne_marathon_viz[\"time_distribution\"] = {\n", " \"42km\": {\n", " \"men\": times_42_male.apply(time_to_seconds).values.tolist(),\n", " \"women\": times_42_female.apply(time_to_seconds).values.tolist()\n", " }\n", "}" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "__Statistical test on marathon time, by sex :__" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.24675144974024177, pvalue=2.9816388254975668e-10)" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(times_42_female,times_42_male)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Conclusion: men are significantly _faster_ on marathon" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "times on marathon f/m: 04:16.47 03:54.59\n" ] } ], "source": [ "print('times on marathon f/m:',my_dt_mean('42','F'),my_dt_mean('42','M')) " ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "### Times for 1/2 marathon:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "times_21_male = pd.to_datetime(trial_dataset[m21].temps,format='%H:%M.%S,%f').dt.time\n", "times_21_female = pd.to_datetime(trial_dataset[f21].temps,format='%H:%M.%S,%f').dt.time" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "image/png": 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mTddWZrNuXVsqr8YzyzZPaOPGdSu5kspTP6t2pfbfqNH6e2/WV2n8\nnvV3taobf6ZV3fgzrcpQKSMJQgh7AOOBB4E/AU2TaxVc6WAbMhP1jQohpDmXwUbJdl4Jx+cn28Yl\nHM8LM0o6f0GBc0trOx+ol0xCWOG6Qgg9gTnA00AdoEuMcZVgQpIkSZKkNZH6SIJkcr73gdr8Fgos\nBbKLNN082W4A/C2EsDzG+M8USqhV4JrFydtfZw3Or1eBa61JXbOAfwGtyKyyMCCEcGyMcUAJfZXJ\nrFkL1+T0CslLO6vi2lJFzZ+/eLXH80YQlNZuXbZo8bJK7X/BgvX33qyvZtWu+O9Zf1eruvFnWtWN\nP9Mqi4qONEl1JEEIoS6Z5QCzgRXAnWSG259YTPNzyQydzyUTJvw9hBBSKCPv/4mWNHY2L6woafxw\nWc5fVI62uWTmJqhwXTHG/jHGK2OMpwB7kQl3nkqWapQkSZIkKRVpP25wFrApmQ/Gp8YYL40xTiiu\nYYxxRoyxF9A92VUTODuFGuYDKyn5cYLGBdoVZ26RdkU1KnBuaW0bA7/EGFemUBcAyfwNT5F5hMMV\nDiRJkiRJqUk7JDgq2b4bY3y+LCfEGJ8E3iEzmuCANS0gxrgMmAS0LqFJa2BWjPHnEo5/W6BdISGE\nTck8DhCTXROBZSW0rUHm8YBYkbpCCPuGEI4qoe2kZNukhOOSJEmSJJVb2iHBdmRGEfQv53n/S7Zb\npVTHUKB5CGHrgjtDCC3IPP4woqQTY4yTgclApxBC0fuzf7IdnrTNIbNawc7FLO+4O5m5C4ZXsK5H\ngBdDCBsWU+aOydbJCyVJkiRJqUk7JPhDsv2pnOfNSLZFJzesqCeT7U15H/RDCFnAzcn+B0s5/yky\nyxWen7cjCQGuITO3wFNFrpUN3FCgbS3gH8m3D1WwrufJPIJxc4F9hBD+RGbywrHAx6W8DkmSJEmS\nyizt1Q1+BpoBzct5Xt5KB3NX26qMYozvhRCeA04AhocQBpKZ8G8f4EV+G7lACOH65JzrC3Txb+B4\noG8IYT8yf7E/lsxIhwtijLMKtH2MzLwKF4cQ2gOfAIeR+Wv/bTHGsRWpC7gF6AKcHULYARgGtAWO\nJLMc4skxxtyK3iNJkiRJkopKeyTB18m2SznPO4nMYwpfpVjLacC1ZJ7b70UmuLiWzISKBT9cX5f8\nyxdjXEDmg/ujyfavwDzgpBhjvyJtV5AJBe4E2gEXkQlfzgeuqGhdMcaFQCfgdqBF0u8eZEKJXWOM\nX5brbkiSJEmSVIqs3Nz0/hgdQriYzIfaXKBrjLF/sv8o4BUgN8ZYo8g5VwI3Jef0jjHenlpBWq1Z\nsxau9ZEIrumq9dGY8bNXe7xx47oAzJ+/eLXt1mWTFhe7EE1qtmrRqFL716raN9m2wuf6u1rVjT/T\nqm78mVZZNG3aMKsi56X9uMEDwOXAJsBzIYSryPw1fhUhhDZknvE/I9k1j9LnCpAkSZIkSZUk1ZAg\nxvhrCOEU4G2gNplRBbcCv+S1CSF8BLQkMzEgZJY+XAn0TIbYS5IkSZKkKpD2nATEGAcCfwJmkQkA\nagCNyDxOAJnn6jdLjmUBi8g8j/9q2rVIkiRJkqSySz0kgMws/sA2wN/5bTLCrCL/JpNM9hdjfLYy\n6pAkSZIkSWWX9pwE+WKM84A+QJ8QQmMyowcaA78CM2KMMyrr2pIkSZIkqfwqLSQoKMY4H5i/Nq4l\nSZIkSZIqplIeN5AkSZIkSeufShtJkDxisBuwMVCLMgYSMcYnK6smSZIkSZJUstRDghDChsBdwPEV\n6D8XMCSQJEmSJKkKpBoShBBqAu8BO5FZwUCSJEmSJK0n0h5J0BPYmcyIAIBhwBhgHpCT8rUkSZIk\nSVKK0g4JTky2y4GjY4xvp9y/JEmSJEmqJGmvbrA9mVEEjxsQSJIkSZK0fkk7JGiQbIek3K8kSZIk\nSapkaT9uMB3YAictlCQV8P20BVVdwnpvqxaNqroESZL0O5D2SILByXaflPuVJEmSJEmVLO2Q4D4y\ncxKcGkLYOuW+JUmSJElSJUo1JIgxjgRuBOoCA0MIx4YQ0n6kQZIkSZIkVYJUP8CHEHoDS4CvgXbA\n88CyEMJ4YB6QU0oXuTHGg9KsSZIkSZIklU3af+W/hczjBhTYZgPbleHcrALnSJIkSZKktawyHgUo\nbmUDVzuQJEmSJGkdl3ZI0Drl/iRJkiRJ0lqSakgQY5yUZn+SJEmSJGntSXsJREmSJEmStJ4yJJAk\nSZIkSUDlTFwIQAhhe2BPYGOgFmUMJGKMN1ZWTZIkSZIkqWSphwQhhC2BJ4G9K9iFIYEkSZIkSVUg\n1ZAghFAPGAhsTsWWPcxNsx5JkiRJklR2aY8kOA/YgsyH/aXAi8AYYB6Qk/K1JEmSJElSitIOCbol\n21+AfWOMn6fcvyRJkiRJqiRpr26wNZlRBA8ZEEiSJEmStH5JOyTITrYfp9yvJEmSJEmqZGmHBFOT\nbd2U+5UkSZIkSZUs7ZDgXTKrGhyccr+SJEmSJKmSpR0S3E1mVYPjQggdU+5bkiRJkiRVolRDghjj\nN8D5Sb8DQgiXhhA2T/MakiRJkiSpcqS6BGII4d7ky/FAAP4N/DuEsAiYB+SU0kVujLFNmjVJkiRJ\nkqSySTUkAM4hswQiBbZZQAOgfinnZhU4R5IkSZIkrWVphwSQ+bBfnv2SJEmSJGkdkGpIEGNMeyJE\nSZIkSZK0lvihXpIkSZIkAYYEkiRJkiQpYUggSZIkSZKA9JdAfHQNu8iNMfZMpRhJkiRJklQuaa9u\n8GfWfBlDQwJJkiRJkqrA2lwCsSS5wFJgRSXUIkmSJEmSyijtkOCAMrSpA/wBaA8cCwTgG6BzjPGn\nlOuRJEmSJElllGpIEGP8sBzNnwshXA88AHQHXg8hdIwxOqJAkiRJkqQqUKWrG8QYc4Czge+AXYG/\nVGU9kiRJkiT9nlX5EohJUPA4mbkMTqnaaiRJkiRJ+v2q8pAgMSHZtqvSKiRJkiRJ+h1bV0KCTZNt\nvSqtQpIkSZKk37EqDwlCCLX5bS6CKVVZiyRJkiRJv2dpL4FYJiGEDYBGZCYrvA7YFsgF3qmKeiRJ\nkiRJUsohQQhhTZYvXA70TasWSZIkSZJUPmmPJMiq4Hk5wNkxxgmltpQkSZIkSZUi7ZBgMpnHBkqz\nElgKzARGAI/EGMenXIskSZIkSSqHVEOCGOOWafYnSZIkSZLWnlRXNwghHBpC2C7NPiVJkiRJ0tqR\n9hKI1wNfhBCeT7lfSZIkSZJUydIOCbZOtp+n3K8kSZIkSapkaYcEdZPtdyn3K0mSJEmSKlnaIcEX\nyXbPlPuVJEmSJEmVLO2Q4GoyyxueE0I4LeW+JUmSJElSJUp1CUTgS6AncD/weAjhemAw8DUwF1ha\nWgcxxidTrkmSJEmSJJVB2iHB9AJfZwGtgS3LcX4uYEggSZIkSVIVSDskyCrjPkmSJEmStI5JOyS4\nIeX+JEmSJEnSWpJqSBBjNCSQJEmSJGk9lfbqBpIkSZIkaT1lSCBJkiRJkgBDAkmSJEmSlDAkkCRJ\nkiRJgCGBJEmSJElKpL0EoiRJWgeMnT2uwuc2WlYXgAULFqdVTqVq32Tbqi5BkqRqw5EEkiRJkiQJ\nMCSQJEmSJEmJCj1uEELoDswFhsQY56RbkiRJkiRJqgoVnZPgRqAFcDbwcN7OEMLpyZcfxBinrGFt\nkiRJkiRpLapoSNAk2c4rsv9xIBfoChgSSJIkSZK0HqnonAQrku3maRUiSZIkSZKqVkVHEkwB2gIX\nhxAmAF8BywscbxZCqFCAEGOcXMGaJEmSJEnSGqhoSNAfuIzMvASvFDmWBTxQwX5z16AmSZIkSZK0\nBir6uME/yYweyCryL0/R/eX5J0mSJEmSqkCF/mofY1wQQugAnArsADQgEzicQWY0wCDAxwYkSZIk\nSVqPVHhof4xxKfBIwX0hhDOSL/vGGPuvSWGSJEmSJGntqujjBqvjIwOSJEmSJK2H0p4ksHWynZly\nv5IkSZIkqZKlGhLEGCcV3RdCqAPsCmxCZu6CRWSWUPwyxrgozetLkiRJkqSKq7TlBkMIOwN/BzoD\ntYtpkhNCeB+4PsY4qrLqkH7PxoyfXdUlSJIkSVqPVMacBIQQLgJGAkcB2RS/1GEt4FBgSAjh8sqo\nQ5IkSZIklV3qIwlCCD2BO8kshZgFzAWGAt+RedSgIdAW2BtoRCYsuCWEMCPG+FTa9UiSJEmSpLJJ\nNSQIITQD/pN8uwz4G3BPjHFJMW3rAucDN5IZbXBvCOHtGOOsNGuSJEmSJEllk/ZIgr8C9cmMIjg5\nxvhKSQ1jjIuBW0MI3wEvAvWA04A7Uq5JkiRJkiSVQdpzEhxKJiB4a3UBQUExxpeBN8k8mtA15Xok\nSZIkSVIZpR0StEm2r5fzvLz2rVOsRZIkSZIklUPaIUGjZDunnOf9nGybpFiLJEmSJEkqh7RDgrwP\n++UdEbBlkfMlSZIkSdJalnZIMIbM3AKnlPWEEEIWcCqZuQy+SLkeSZIkSZJURmmHBK8l2/YhhJvK\neE4foH3ydf+U65EkSZIkSWWUdkjwBDAl+fqKEMJrIYQ9imsYQtgzhNAfuILMKIJpwCMp1yNJkiRJ\nksqoZpqdxRgXhxBOBd4GsoEuQJcQwi/AD8AioD6ZOQsaJKdlAUuBE2KMS9OsR5IkSZIklV3aIwmI\nMQ4GDgGmkwkAsoCGZB4p2DPZNixwbDpwSIzxo7RrkfT/2bvzMEmqKmHjb0mzttAINCKCbOpRFEEF\nBJTudkcBF1AWFz4cdxbBZRQUFHAART4clE1AUXBDccYFddwABQR1+EQRmMMi3TAi2Ch0Q9vs9f1x\nb9LZSWZVZlZWVXfx/p4nn6iMuBH3ZObNrIgTN25IkiRJUvcGniQAyMxLgKcCBwG/AP7JkqTAUH1+\nIXAg8NTMvHg84pAkSZIkSd0b6OUGzTLzXuDz9UFEPB5YA7gnMxeOV72SJEmSJKk/45YkaJWZ9wD3\nTFR9kiRJkiSpN+NyuYEkSZIkSVr+mCSQJEmSJEmASQJJkiRJklSZJJAkSZIkSYBJAkmSJEmSVE3Y\n3Q0kaXkzb/ENXZWbPrQSAIsW3z+e4UiSJEnjzp4EkiRJkiQJMEkgSZIkSZIqkwSSJEmSJAkwSSBJ\nkiRJkqpxGbgwItYC3gRsB6wNrEh3CYnhzHzpgGKYBhwIvBPYBPgrcBbwqcx8oIv11wKOAnYB1gWu\nBY7LzHPblF0NOBTYG3gycBNwMnBKZg73G1dErA4cDuwGPAW4G7gYOCIzr+zqjZAkSZIkqUsDTxJE\nxKuArwEzelx1CBgetVT3TgbeBVwCfB94IeWgf0vgDSOtGBHTgZ8BWwHfBm4Gdge+GREzM/OkprIr\n1DKvBn4EnAe8CjiJkgT4UD9x1cTDxXX+ZcB3gQ1qHK+MiJdl5qW9vCGSJEmSJI1koJcbRMQGlIPk\nNSkH/b08BhnHDpQD8fOAWZl5CDALOBvYPSJ2GWUTBwHPA96XmXtl5ocpCYOrgU9HxLpNZfekJAiO\nz8yda11bAxcAH4iILfqM632UBMHnMnOHzPxQZu4FvIzSM+PU3t8ZSZIkSZI6G/SYBO8HVqX0CPgf\nSpf6bYCnUc6qj/bYdEBx7F+nRza6+9fpoTW2d4yy/n7A7cBpjRmZeTdwNLAa5VKK5roeBI5pKvsA\ncBgl+fH2PuParc47vDmwzPwlcBGwRUQ8eZTXIUmSJElS1wZ9ucGr6nQesH1mLhjw9rs1C7gjM//U\nPDMzb42I64DZnVaMiM0o4wqcl5kPtSy+sE5nA/8eESsD2wJXZuadLWV/C/yzpa5e4joNeGJmLmwT\n5n11+vhOr0OSJEmSpF4NuifBUyhnv0+frARBPXDfALixQ5G5wJoRMbPD8s3q9FHrZ+ZtwL3A0+us\njSiJlnZlHwJuaZTtNa7M/FJmHttaKCLWAXYEFtV1JEmSJEkaiEH3JHiAcrlBpwPhibBWnd7VYXkj\neTEDmN9m+dqjrL+QJYMyjlZ2ARD1jgZjjavhM8DqwKmZed8I5UY1c+bqY1l9TCaz7seSGX9bNNkh\nLNemD63UW/nVeisv9WKNNVZ9TNTZD/+nqFu2FU01tmmNh0H3JLipTp844O32YsU67XQA3Zi/yhjW\nX6WHso26xhoXEXEYsC/lco6PdSonSZIkSVI/Bt2T4HuUuwC8gXILwMmwuE47ndJbuU47nWLtZv1F\nPZQdpoxNsGoXZTvGFRFHUQYx/Duwc5sxEHo2f/7dY91EzxrZzsmo+7FowYLFoxdSR4sW399VuUYP\ngkX/7K681I+FCyfu+9zoQTCRdY7F/JX8n6KRuf+hqcY2rW7029Nk0D0JTgRuA3aMiAMHvO1uLQAe\nZsklAa1mNJVr586Wcq3WaFp3tLIzgHsy8+F+44qIFSLiTEqC4G/ASzPz6g7bkCRJkiSpbwPtSZCZ\nd0XEa4HzKaP/vwL4NvAnyrX4D3axjZvHGMP9ETGPckvFdjYB5mfmPzosv66p3FIi4kmUywGyzpoL\n3N+h7ArAhsA1/cZVBzv8NrBrresVmXl9h/UlSZIkSRqTgfYkiIhrgK/Up0PAq4GzgN8B11PGLBjp\n8ecBhXIJsF5EPL15ZkSsT7nbwOWdVqxJipuBF0VE6/szp04vq2UfBH4DPDciWvtybAus1ijba1wR\nMQR8nZIguBp4oQkCSZIkSdJ4GvTlBs8AAmjcXnCoj8cgnF2nxzQO9OtBd+OWgqePsv45lNsVHtCY\nUZMAH6OMQ3BOS10rA0c2lV0R+GR9ekafcR0I7AbcAMzJzFtHiVmSJEmSpDEZ9MCFv6IM1DepMvPn\nEXEusCdwWURcCOwA7AicB/ywUTYijqjrHNG0ieOAPYATI2I25ZaOuwObAgdmZvMtCs8C3ga8PyK2\nAK4AdgK2BI7PzKt6jateZnB4Xe2PwAER0e6lnpaZt/X05kiSJEmS1MGgxySYM8jtjdFbKd309wUO\nplxC8HHguMxsTmR8ok6PaMzIzIURsSNwDKW7/07A/wB7Z+Y3myvJzIciYidKT4I9gBdRkgoHAKf2\nGdczgXXq37vVRzvfpQwUKUmSJEnSmA0ND0/6iX9Nkvnz757wD9/btUysK6+/Y7JDWK7NW3xDV+W8\nBaImwqbrrzFhdS1vt0DcYp3NJzsELePc/9BUY5tWN2bOXL2vy/kHPSaBJEmSJElaTg16TIKlRMRz\ngDcA2wNPBB4PLAL+F/g98L3M/M14xiBJkiRJkrozLkmCiHgCcCbwug5FNgdeAXwkIn4IvC0z/z4e\nsUiSJEmSpO4M/HKDiFgX+B0lQdDNLQ93Bq6o60mSJEmSpEkyHmMSfItyq8Ah4C/AIcDzgTWBFYG1\ngB7F1rsAACAASURBVBdQbvF3ay23IXDOOMQiSZIkSZK6NNDLDSJiV2AWMAxcAOyemQtbit1F6Wnw\nu4g4CfgO8BLgZRHx4sy8cJAxSZIkSZKk7gy6J8HedXo7sFubBMFSMnMB8HrgtjrrbQOOR5IkSZIk\ndWnQSYLtKb0IzsrMrm7aWct9iXLZwfMHHI8kSZIkSerSoJMET6zTP/a43lV1+pQBxiJJkiRJknow\n6CTBg3W6co/rNco/PMBYJEmSJElSDwadJLilTl/U43o71un/DjAWSZIkSZLUg0EnCX5JGVvgrRER\n3awQEc8A3kIZy+CiAccjSZIkSZK6NOgkwRfqdCXgJxEx4kCEEbE18F8sudzgjAHHI0mSJEmSujRt\nkBvLzD9ExOnAu4ANgd9ExM+BnwM3AIuA6cBTgZfVxxClF8GZmXnlIOORJEmSJEndG2iSoDoIWA94\nDSUB8PL6aGeoTn8EHDAOsUiSJEmSpC4N+nIDMvM+YDfgYOB2SiKg0+OvwAeAXTPzgUHHIkmSJEmS\nujcePQnIzIeBz0XEycB2wPaU3gVrAPdQkgOXA5ebHJAkSZIkadkwLkmChsx8CLi0PiRJkiRJ0jJs\n4JcbSJIkSZKk5VNfPQkiYlbj78z8Vbv5/WreniRJkiRJmjj9Xm5wEeW2hcMt22jM71fr9iRJkiRJ\n0gQZywH5UI/zJUmSJEnSMqzfJMFXepwvSZIkSZKWcX0lCTLzbb3MlyRJkiRJyz7vbiBJkiRJkoAB\nDxIYEV+qf34uM6/sYb05wKeBlTNzq0HGJEmSJEmSujPoOwnsS7lDwXeBrpMEwNrANsDiAccjSZIk\nSZK6tKxcbrBNnY7l9omSJEmSJGkM+upJEBHvA143QpF/i4iDu9jU44AnAM+mJAhu6iceSZIkSZI0\ndv1ebvAt4EhgjTbLhoBn9bi9IUqS4It9xiNJkiRJksaor8sNMvM24DDKwX3zo6F1fqcHwCLgWuCw\nzPz3fuKRJEmSJElj1/fAhZl5MnBy87yIeJjSI+D1mfn9McYmSZIkSZIm0HgMXDg0ehFJkiRJkrSs\nGXSSYJP6+NloBSPCZIIkSZIkScuQvi83aCcz5zX+jog5wD7AZzPzquZyEbE6cEtE/Bz4XGb+apBx\nSJIkSZKk3g00SQAQEasAXwVeX2ddAFzVUmxTyp0RXg+8PiK+AOyfmcODjkeSJEmSJHVnPMYkOJdy\n8N+4g8FmbcqsDMxrKvNu4HPjEIskSZIkSerSQJMEEbErsGt9ehuwF3Bsa7nM/G1mbgLMBv6HkijY\nLyK2G2Q8kiRJkiSpe4PuSbBvnd4NbJuZ38rM+zsVzsyLgZcD99RZ7x1wPJIkSZIkqUuDThJsCwwD\np2bm/3azQmb+BTiD0ptgxwHHI0mSJEmSujToJMHMOv1jj+v9oU6fNMBYJEmSJElSDwadJFhQp6v1\nuf59gwpEkiRJkiT1ZtBJgnl1+tIe15tdp7cMMBZJkiRJktSDQScJfkwZW+CNEfHCblaIiK2At1DG\nMvjFgOORJEmSJEldGnSS4Czgobrd8yNin4hoW0dEDEXEG4GfACvW9U4ZcDySJEmSJKlL0wa5scyc\nGxGHAscBa1CSBsdFxGXAXOCflPEKngJsDzyR0vNgGDg2M68bZDySJEmSJKl7A00SAGTm8RGxDvBB\nYAVgXeA1HYoP1ekJmfmJQcciSZIkSZK6N+jLDQDIzEOA7YBvAQspyYDWx4PAj4A5mfmv4xGHJEmS\nJEnq3sB7EjRk5hXAXhGxIrA55dKCtSmXHNwOXJmZ945X/ZIkSZIkqTfjliRoyMwHgD+Mdz2SJEmS\nJGlsxuVyA0mSJEmStPwZ154EdQDD1SgDGA61LB6i3PpwFWAGsBXwlszcZjxjkiRJkiRJ7Q08SRAR\n04GjgLdSxiCQJEmSJEnLgYEmCSJiCPgBMJtH9xzoxsODjEeSJEmSJHVv0GMS7A7MaXp+G3AZcAcw\nDNwIXAJcDdxfywzXx0eApw44HkmSJEmS1KVBX27whqa/35WZZwJExJHA4cDvMvNNdd504GDgE5Qx\nC56bmZ8ZcDySJGmKu+qOayY7hAmxxTqbT3YIkqTHgEH3JNiW0ivgB40EQXVxnb6sMSMzF2Xm0ZRE\nwRCwZ0RsP+B4JEmSJElSlwadJGgMVPjTlvl/aCyPiE2aF2TmKZTLDwD+ZcDxSJIkSZKkLg06SbBK\nnd7WPDMz5wN31qdbtFnvW5TeBN7+UJIkSZKkSTLoJEEjEbBym2V/rtMYYdlGA45HkiRJkiR1adBJ\ngpvr9Jltlt1I6S3w7DbLVqrT6QOOR5IkSZIkdWnQSYKLKYmAferdC5pdW6dzImKoZdnWdbpowPFI\nkiRJkqQuDTpJ8PU63RC4NCJe0ZQQ+FWdbkC57SEAEbEjZcDCYZYkEiRJkiRJ0gQbaJIgM68AvkPp\nTbAF8GPgVXXxRUDWvw+PiBsj4o/ABSwZw+A7g4xHkiRJkiR1b9A9CQD2Ac6nJAoAbgLIzGHgXcAD\ndf7GwLOAFerza4GTxyEeSZIkSZLUhYEnCTJzcWa+Bng58EWW3LmAzLwYeCWlR8FQfQxTkgovzcx7\nBx2PJEmSJEnqzrTx2nBm/gL4RZv5vwQ2j4inAusAN2Xm7eMVhyRJkiRJ6s5AkwQR8WXKbQxPz8yf\njVQ2M28Abhhk/ZIkSZIkqX+D7kkwG3gK8DAwYpJAkiRJkiQtWwY9JsF6dfrjAW9XkiRJkiSNs0En\nCe6q05UGvF1JkiRJkjTOBp0kOJdyx4L9ImLVAW9bkiRJkiSNo0EnCQ4BLgKeA/wmIt4aERsNuA5J\nkiRJkjQOBj1w4QmUOxZsBzwL+DJARNxLuRThvlHWH87MzQYckyRJkiRJ6sKgkwTvAYZb5g0BqwKr\njLLuUJt1JUmSJEnSBBl0kgDKwX4v8yVJkiRJ0jJgoEmCzBz0GAeSJEmSJGmC9JUkiIgfAA8Bn8nM\nSwcbkiRJkiRJmgz99iTYAVgTOA94JEkQERfUPw/LzF+PMTZJkiRJkjSB+k0SrF6nD7XMn0MZfHCd\nfgOSJEmSJEmTo98xBBbU6faDCkSSJEmSJE2ufnsSXAPsCOwXERsCfwIeaFq+V0Rs1c+GM/OoPmOS\nJEmSJElj0G+S4AuUJMEQ8Jr6aBgC9hxDTCYJJEmSJEmaBH1dbpCZXwcOp/QeGGp6NAz1+ZAkSZIk\nSZOk354EZObREfFZIIDHAysAF1AGLjycprseSJIkSZKkZV/fSQKAzPwn8PvG84ho/PmnzPzlWLYt\nSZIkSZIm1piSBG38itKT4I4Bb1eSJEmSJI2zgSYJMnPOILcnSZIkSZImTl8DF0qSJEmSpKnHJIEk\nSZIkSQJMEkiSJEmSpMokgSRJkiRJAkwSSJIkSZKkyiSBJEmSJEkCTBJIkiRJkqTKJIEkSZIkSQJM\nEkiSJEmSpMokgSRJkiRJAkwSSJIkSZKkyiSBJEmSJEkCTBJIkiRJkqTKJIEkSZIkSQJMEkiSJEmS\npMokgSRJkiRJAkwSSJIkSZKkyiSBJEmSJEkCTBJIkiRJkqTKJIEkSZIkSQJMEkiSJEmSpMokgSRJ\nkiRJAkwSSJIkSZKkyiSBJEmSJEkCTBJIkiRJkqTKJIEkSZIkSQJMEkiSJEmSpMokgSRJkiRJAmDa\nZAcwXiJiGnAg8E5gE+CvwFnApzLzgS7WXws4CtgFWBe4FjguM89tU3Y14FBgb+DJwE3AycApmTk8\niLgiYjpwNfDdzDx4tPglSZIkSerVVO5JcDJwAvB34ETgL5SD/m+MtmI9IP8Z8F7gcuAkYE3gmxFx\nQEvZFYBvA4cBWet6oK7zmUHEVRMLXwM2Gi12SZIkSZL6NSWTBBGxA/Au4DxgVmYeAswCzgZ2j4hd\nRtnEQcDzgPdl5l6Z+WFgK8qZ/E9HxLpNZfcEXg0cn5k717q2Bi4APhARW4wlrtqj4UfAa3t9HyRJ\nkiRJ6sWUTBIA+9fpkY3u/nV6KDAMvGOU9fcDbgdOa8zIzLuBo4HVgDe11PUgcExT2QcoPQuGgLf3\nG1dE7E25zOHllJ4NkiRJkiSNm6maJJgF3JGZf2qemZm3AtcBszutGBGbUcYVuDgzH2pZfGGdzq5l\nVwa2Ba7MzDtbyv4W+GdLXb3G9W5gMbArTUkISZIkSZLGw5RLEtQD9w2AGzsUmQusGREzOyzfrE4f\ntX5m3gbcCzy9ztqIMvhju7IPAbc0yvYZ11HAMzLz/A7rSJIkSZI0MFPx7gZr1eldHZYvqNMZwPw2\ny9ceZf2Fdd1uyi4Aog482HNcmXlBh7IDMXPm6uO5+WW27seSGX9bNNkhLNemD63UW/nVeisv9WKN\nNVZ9TNSpzvzfOXa+h5pqbNMaD1MxSbBind7XYXlj/ipjWH+1Puoaa1ySpMew629uvapNvXraU54w\n2SFIkrTMm4pJgsV12umU3sp12ukUazfrL+qh7DBlbIJVuyg7UlwDN3/+3RNV1SMa2c7JqPuxaMGC\nxaMXUkeLFt/fVblGD4JF/+yuvLSsm6pteuHC5fs3cf5K/u/sl/sfmmps0+pGvz1NptyYBJRu+w+z\n5JKAVjOayrVzZ0u5Vms0rTta2RnAPZn58ADikiRJkiRpXE25JEFm3g/MAzbpUGQTYH5m/qPD8uua\nyi0lIp5EuRwg66y5wP0dyq4AbNgoO4C4JEmSJEkaV1MuSVBdAqwXEU9vnhkR61PuNnB5pxUz82bg\nZuBFEdH6/syp08tq2QeB3wDPjYjWvhzbUsYuuGwQcUmSJEmSNN6mapLg7Do9pnGgHxFDwLF1/umj\nrH8O5XaFBzRm1CTAxyjjEJzTUtfKwJFNZVcEPlmfnjHAuCRJkiRJGjdTceBCMvPnEXEusCdwWURc\nCOwA7AicB/ywUTYijqjrHNG0ieOAPYATI2I2cCOwO7ApcGBmNt868SzgbcD7I2IL4ApgJ2BL4PjM\nvKqfuCRJkiRJmmhTtScBwFuBjwPrAAcD69Xnb8nM4aZyn6iPR2TmQsqB+5fqdH/gLmDvzDyppexD\nlKTAZ4FnAgdRki8HAB8ZQ1ySJEmSJE2ooeFhj0sfq+bPv3vCP3xv1zKxrrz+jskOYbk2b/ENXZWb\nqreL02PXVG3Tm66/xmSHMCZbrLP5ZIew3HL/Q1ONbVrdmDlz9aF+1pvKPQkkSZIkSVIPTBJIkiRJ\nkiTAJIEkSZIkSapMEkiSJEmSJMAkgSRJkiRJqkwSSJIkSZIkwCSBJEmSJEmqTBJIkiRJkiTAJIEk\nSZIkSapMEkiSJEmSJMAkgSRJkiRJqkwSSJIkSZIkwCSBJEmSJEmqTBJIkiRJkiTAJIEkSZIkSapM\nEkiSJEmSJMAkgSRJkiRJqkwSSJIkSZIkwCSBJEmSJEmqTBJIkiRJkiTAJIEkSZIkSapMEkiSJEmS\nJMAkgSRJkiRJqkwSSJIkSZIkwCSBJEmSJEmqTBJIkiRJkiTAJIEkSZIkSapMEkiSJEmSJMAkgSRJ\nkiRJqkwSSJIkSZIkwCSBJEmSJEmqTBJIkiRJkiTAJIEkSZIkSapMEkiSJEmSJMAkgSRJkiRJqkwS\nSJIkSZIkwCSBJEmSJEmqTBJIkiRJkiTAJIEkSZIkSapMEkiSJEmSJMAkgSRJkiRJqkwSSJIkSZIk\nwCSBJEmSJEmqTBJIkiRJkiTAJIEkSZIkSapMEkiSJEmSJMAkgSRJkiRJqkwSSJIkSZIkwCSBJEmS\nJEmqTBJIkiRJkiTAJIEkSZIkSapMEkiSJEmSJMAkgSRJkiRJqkwSSJIkSZIkwCSBJEmSJEmqTBJI\nkiRJkiTAJIEkSZIkSaqmTXYAkpYv8xbfMNkhSJIkSRon9iSQJEmSJEmASQJJkiRJklSZJJAkSZIk\nSYBJAkmSJEmSVJkkkCRJkiRJgEkCSZIkSZJUmSSQJEmSJEmASQJJkiRJklSZJJAkSZIkSYBJAkmS\nJEmSVJkkkCRJkiRJgEkCSZIkSZJUmSSQJEmSJEmASQJJkiRJklSZJJAkSZIkSQBMm+wAJEmSNLqr\n7rhmskOYMFuss/lkhyBJj1n2JJAkSZIkSYBJAkmSJEmSVJkkkCRJkiRJgEkCSZIkSZJUOXChlllX\nXn/HZIcgSZIkSY8p9iSQJEmSJEmASQJJkiRJklSZJJAkSZIkSYBJAkmSJEmSVDlwoSRJekz4860L\nJzuE5d6m668x2SFIksaZPQkkSZIkSRJgkkCSJEmSJFUmCSRJkiRJEmCSQJIkSZIkVSYJJEmSJEkS\nYJJAkiRJkiRVJgkkSZIkSRJgkkCSJEmSJFUmCSRJkiRJEmCSQJIkSZIkVSYJJEmSJEkSYJJAkiRJ\nkiRVJgkkSZIkSRJgkkCSJEmSJFUmCSRJkiRJEmCSQJIkSZIkVSYJJEmSJEkSANMmOwBJkiSp2VV3\nXDPQ7a1x/6oALFy4eKDbHYQt1tl8skOQpKXYk0CSJEmSJAEmCSRJkiRJUmWSQJIkSZIkASYJJEmS\nJElSZZJAkiRJkiQB3t1AGph5i2+Y7BAkSZIkaUzsSSBJkiRJkgCTBJIkSZIkqTJJIEmSJEmSAMck\nkCRJkibNVXdcM9khTIgt1tl8skOQ1CWTBJIkSerKn29dONkh9GX6XfcCsOif909yJLDp+mtMdgiS\nNCIvN5AkSZIkSYBJAkmSJEmSVJkkkCRJkiRJgEkCSZIkSZJUTdmBCyNiGnAg8E5gE+CvwFnApzLz\ngS7WXws4CtgFWBe4FjguM89tU3Y14FBgb+DJwE3AycApmTk8lrgiYh/g/cDTgTuBbwEfz8x7Rn8X\nJEmSJEnq3lTuSXAycALwd+BE4C+Ug/5vjLZiREwHfga8F7gcOAlYE/hmRBzQUnYF4NvAYUDWuh6o\n63xmLHFFxKHAVyif0+eBP1ASBj+NiJVGex2SJEmSJPViaHh4ePRSy5mI2AG4FDgP2CMzhyNiCPgy\nsA+wa2aeP8L6HwWOBg7IzJPrvNWByyhn/zfJzL/V+W8CvgYcn5n/WuetCPwX8GJgy8y8qte4ImIj\n4Abgd8DsRi+DiDgKOBw4MDNPGsv7NH/+3RP+4c+cuXqj7lHLXnn9HeMdzkDNW3zDZIegSTJ9tZKz\nWxZurSUNgm1aU41tevJttOpTB7q9rZ62zkC3t7zpZZ9aj10zZ64+1M96U7Unwf51emSju3+dHgoM\nA+8YZf39gNuB0xozMvNuSuJgNeBNLXU9CBzTVPYBSs+CIeDtfcb1LsrlIMe0XIZwDLCwi9cgSZIk\nSVJPpmqSYBZwR2b+qXlmZt4KXAfM7rRiRGxGGVfg4sx8qGXxhXU6u5ZdGdgWuDIz72wp+1vgny11\n9RLXrDq9qKXsvZQeDVtGxIxOr0OSJEmSpF5NuSRBPXDfALixQ5G5wJoRMbPD8s3q9FHrZ+ZtwL2U\nQQQBNqKc7W9X9iHglkbZPuLaDLi9wwCFc+v06W2WSZIkSZLUl6l4d4O16vSuDssX1OkMYH6b5WuP\nsv7Cum43ZRcAUe9o0Gtca1PukjBa2b41rmWaDN3UPeNviyYgksGZPuRYko91jWtepanCNq2pxjY9\neWassepAt3fTcrafOGiP9de/rNj2WetNdgjjYiomCVas0/s6LG/MX2UM66/WR129xrViD2X71ddA\nFhNlefvSbcvyFa8kSZIktZpylxsAi+u0U6p45TrtlH7rZv1FPZQdpoxN0Gtci3soK0mSJEnSmE3F\nJMEC4GE6d8Wf0VSunTtbyrVao2nd0crOAO7JzIf7iOvOHspKkiRJkjRmUy5JkJn3A/OATToU2QSY\nn5n/6LD8uqZyS4mIJ1G6+GedNRe4v0PZFYANG2X7iOs64IkR0e4Crk0oCYfrO2xLkiRJkqSeTbkk\nQXUJsF5ELDX6f0SsT7kjwOWdVszMm4GbgRdFROv7M6dOL6tlHwR+Azw3IlpH4tuWMnbBZX3GdQnl\n89mxpewqwHbA1Zl5d6fXIUmSJElSr6ZqkuDsOj2mcaAfEUPAsXX+6aOsfw7ldoUHNGbUJMDHKGMF\nnNNS18rAkU1lVwQ+WZ+e0WdcXwceAo6ot09s+CjlkofRXoMkSZIkST0ZGh4enuwYxkVEfBPYE/gt\ncCGwA+Ws/HnAHpk5XMsdAZCZRzStuwbw38DTgP8AbgR2BzYFDszMk5rKrgD8qm7/58AVwE7AlsDx\nmfmv/cRVy34K+AhwLfAD4FnAzsClwEszs9PdDyRJkiRJ6tlU7UkA8Fbg48A6wMHAevX5W5oPxIFP\n1McjMnMh5cD9S3W6P3AXsHdzgqCWfYiSFPgs8EzgIMqtJQ+gHOD3GxfAoXU7w3W7z6717GyCQJIk\nSZI0aFO2J4EkSZIkSerNVO5JIEmSJEmSemCSQJIkSZIkASYJJEmSJElSZZJAkiRJkiQBJgkkSZIk\nSVI1bbID0PiLiGnAgcA7gU2AvwJnAZ/KzAc6rDMduBr4bmYe3ENdawFHAbsA6wLXAsdl5rltyq4A\n7FfjehowH/g5cFhm3tr1C1yyvSfXmK/MzDltlm8IHAO8BJgB/B44MjN/3mtdmnwT2a5btrECcCnw\ngswcarN8NcrtS/cGngzcBJwMnNLmNqed6tic0lZ3AFYGLgM+mpn/r01Z2/UU0W2bjojVgcOB3YCn\nAHcDFwNHZOaVfdS7C/AD4Lnt1o+IpwCfBF5MuX3v/wCnAF/soU3vQbmV75bACnUbp2bm6W3K2qan\niEls06P9Trv/ob700KanAx8G9gQ2Am4FzgWOzsxFXdb1fMr3YkdgdeAW4NvAJ1u34b6HBs2eBI8N\nJwMnAH8HTgT+QjmQ/0a7wvUH8GuUH7Wu1R/EnwHvBS4HTgLWBL4ZEQe0WeUrwOeAB2rZPwBvAy6J\niDV7qbs6jfJD1S62JwKXAHsAPwHOoOwY/DQiXtNHXZp8E9Ku2zgYeEGHOlag/AM/DMgaV6N9f6ab\njUfEMyk7ty8GzgO+CmwPXBoR27SUtV1PLaO26bojeDHwr8DfKL+hPwN2Bi6LiBf2UmFtb2eNsHwD\n4LfAmyjt8hRgRUpbO6nLOj5G2TnejPId/CKwFvCFiPhcS1nb9NQy4W266vg7Xbn/oX5106anAT8E\nPk5JDnweuJFyEP/LiFhltEoi4sXAr4FXUdrN52qdHwEubN6G+x4aDyYJpriI2AF4F+ULPyszDwFm\nAWcDu9czSM3l1wJ+BLy2j+oOAp4HvC8z98rMDwNbUbLrn46IdZvqeQPwZuCbwDaZ+a+ZuStlJ2ET\n4H09vs43UXovdPJJytmJ3TPzXzLz/TXW24FTImLlXurT5Jrgdt28nadS2lInewKvBo7PzJ1rXFsD\nFwAfiIgtuqjmRODxwOzM3C8z9wdeCDxMOUBrZrueInpo0++jnI3/XGbukJkfysy9gJdRDt5P7aHO\nFwO/pPQO6OQ44ImUNrZ3Zn4IeC5lB3G/iHj2KHVsCHyCclbrWZn57sw8AHgWcCVwYEQ8r2kV2/QU\nMRltutY74u+0+x/qVw9t+l+A2cBnM/MlmfnhzHwF8Cng+cDbu6juFMpx2o6Z+ab62/sCygH5NpSe\nMA3ue2jgTBJMffvX6ZGN7kZ1eigwDLyjUTAi9qZcHvBySha/V/tRfiBOa8zIzLuBo4HVKGeiGg6k\ndCfcPzMfbpp/KnAO5WxCVyJiJuXH7Ucdlj8e2Ae4IjPPb4rtVkpm9smUTK2WHxPZrhvbGQLOpJwV\nuG6EuB6kdMGjxvUAJbs/xCg7BhHxtBrn95q72GbmnyhZ/a0jYqta1nY9tXTbpnerzw9vXjkzfwlc\nBGxRuz53FBGrRsSZlO7VjwMe1ZW0lhuitKP/zszvN9X1IOWsFcB2o7yuXSkHeidk5t+btnEP8H/r\n01fV+mzTU8uEtemGLn+n3f9Qv7pt008D7qAkBZo1ehtsP1Iltdv/Myj7Ar9tzK91HVWfNrcb9z00\ncCYJpr5ZwB31i/6I+mW+jpLpbHg3sJiyU3cMI4iI4YgYbnq+GeWH4eLMfKil+IV1OruWfTzwIuDC\nzPxHS1yLMnOfzHwk0RARc2p9F3UI5/N1elCH5S+gXFt1YZtlS8Wm5caEtOsW767bfWfdXuu6KwPb\nUq5JvbNl8W+BfzbH1aFdz6rTbtqq7Xpq6bZNnwZ8LDMXttnGfXX6+MaMDm36iZSdxh9SzuBe1S6g\nzBzOzNmZuU2bxc+o09ub6mrXpq+gHPz9oot4bdNTy0S26YbRfqfd/9BYdNWma++UmZnZmnB61O8m\ntG3TCymXFXypTQxLfSfc99B4ceDCKaz+cGwA/KZDkbmlWMzMzPmU7OSvM/PeiJgzyuaPbHm+WZ3e\n2FowM2+LiHuBp9dZm1MSVFdHxHaUbkvbUX74vgccUuNpjvPIOl1KRLyW0s3qrZSsbTsdY2va5tPb\nLNMyaILbdaPODSndrr+YmRdGRLtiG1F+U9t9Bx6KiFtYup3N5dHtupe2arueInps0+12GomIdSiD\nWy1i6TbVrk3fCbwoMy+t63Yb5+OA9SnXbr+bMlDVj1viXKpNZ+Zv6Py6Xl+nV9epbXqKmIQ23e3v\ntPsf6ksf+x7N664F7EQ5034Xj+6+v1Sbzsz/pbTldlp/N9330LgwSTC1rVWnd3VYvqBOZwDzM/OC\nbjecmUe0zFp7lLoWsmRQn/Xr9HmUawAvo1xjtTXlOq4XRcS2mbmg1jUXaK2POrjQqcB/ZeZXRxhs\naKTYmt8DLR8msl03fAG4B/jQCKuP9h1YQNmBmJaZD3Zo1720Vdv11NFTm+5Q5jOU0a9PzczGmaa2\nbbr+tl7aR5xfAd7S2AzwqnrpQWO7c2nzW91OHQ9hL8rr+c862zY9dUxom666+Z12/0P96qtNR8Tb\nKZfAQEl4vTIzlzrAHqFNL6UOGNi43KBxZxj3PTQuvNxgaluxTu/rsLwxf9RRVgdUV6Oe6XX6SuDT\nmTkrMz+QmbMoI8Y+ne52NE+g7EC8ZwyxDfI90MSYyHZNROxDub7uwMzs9E94UHH10lZt11PHR6Fm\nAwAAG3FJREFUmNpORBwG7AvMAz420MiW9nvK2a2fAkEZ9XrjXjcSEc8BvkO5VvY9ueRWXrbpqWNC\n23QPv9Puf6hf/bbp+cCnga9TTs7+JCJe2WvlETGDconYEymDfDbGKnDfQ+PCJMHU1rgeb6UOyxuj\nj3Z1v9YB1NWopzFQ0N94dLfBj9dye4xUWUS8nNLl9WOZOW8MsQ3yPdDEmLB2XbP2nwX+MzO/M4C4\nhinXB/azjdbXZbueOvpu0xFxFKXL9N+BndtckzowmXlCZn4kM19JGShrM8rtwLoWEdtSrlt9AnBo\nZv5H02Lb9NQxYW26x99p9z/Ur77adGZ+PzMPycw3AztQEgXnRLlteFfqAJkXUO6McD7wwR7jct9D\nPTNJMLUtoPxD7NTtZ0ZTubFq/BPvVNcaTfU0plfV0VcfUc8oXQ+sHx3uI1sHHjoDuJzu7tM9UmyD\nfA80MSayXZ8MrMCSEY1HMtp3YAZwT8to2r1so/V12a6njp7bdESsUO9QcDjlgOelmXl1u5XHQ2ae\nAtwA7BQRnXZOlxIRO1MSBGtREgStI3/bpqeOiWzTvfxOu/+hfo153yMz/x/lDhozGeUOBw11YPDL\nKJfIfB94Q/NlXrjvoXHimARTWGbeHxHzKPf9bWcTyjXb/+iwvBeNWw09qq6IeBKl61HWWdfXaacd\nyxUpt3K5v8PyrSkDtWwEPNRmcKLZdZTYr2TmviPF1jQv2yzTMmiC2/XudXpru0Gwajubl5kbUwbs\nub9dXBGxArAhcM0o9fXSVm3XU0SvbboOoPVtyh075gKvyMzrO6zbt3qmaxawIDN/3abIPOCplIP+\n20bZ1j7AFyknJ96TmV9oU8w2PUVMcJvu5Xfa/Q/1pZc2HRGzgCdk5vfalGv0PllntDrrbQd/AqxL\nGRPmHS0JAnDfQ+PEngRT3yXAehGx1EijEbE+5dq7ywdRSWbeDNxMGfSntV3NqdPL6vRG4K+U+66u\n3hLXmpQurFePkPWcS+km2Pr4dF0+rz7/bn1+BaV7VLtbsrTGpuXDhLRr2rezI1ly+6IjgX+HR+4d\n/xvgua3tmnJ7otUYvZ1dUqfdtFXb9dTSVZuOch/4r1MOpq4GXjgeCYJqTcr93z/fuiAiplFGil9I\n55HdG2VfD5xFOQu3Z4cEAdimp5qJatNd/07j/ofGptt9jy8C50XEE9psY8s6bXd3gOZtPpUy/su6\nlDEw3tYmQeC+h8aNSYKp7+w6PaZx8F7/IR9b55/edq3+nEO5PcwBjRn1B+tjlB+UcwDqP98zgVWB\n/9uyjWMovQ7a3hKprj83M49ofQCNrquN5d+t5RcB/wFsHxGvaYptfeB9wK2Ua7y0/JiQdt2undW2\ndlvT8n9vWuVsyjV5j1zrGhErUq6vhdJNdaT6/kwZdf4NEbF10zaeTRlV/r9rd0Xb9dTTbZs+ENiN\n0tV/Tpb7c4+LzPwL8GvgeRGxV2N+jevfgCcBZ7fbcW0quwHwZcoghXtl5nkj1GebnlompE338jvt\n/ofGqNs2/S1Kb+1jm1eul1ztDlwF/HenSuq2v0G5LOHEzPxgZg6PEpf7HhooLzeY4jLz5xFxLuVe\nvpdFxIWUgVN2BM6jjJTas4g4om7/iKbZx1EG/DkxImZTsqS7A5tSRhxuvs3RscDLgXfWka4vptyr\n+EWUjOYj95Cto2fvS/nn++V+4gU+CrwC+E5EfINy5mtvSob29ZnZqWuhlkET3K57cRZlQKv3R8QW\nlIz7TpQzB8dn5lVNdW1M+3Z9EPAr4KKI+CrwEOWf9BCwX0t9tuspops2XbtkH15X+SNwQLvu1cBp\nmXkbDKRNv4fy+/y1iHgj5UzqC4EXUHZyD20U7NCmP0wZk+bPwJYR0TiL1uzyzPyv+rdteopYhtu0\n+x/qSw/7Hp8CdgHeXdvYpcDTgNdQBuR8U/NBf5s2/TrKpS33Afc0lre4LTNPq3+776GBsyfBY8Nb\nKaP2rgMcDKxXn79llMzkSD5RH4/IzIWUH8ov1en+lPuo7p2ZJ7WUXQy8lJLlXIeSfdyA8s/7FS1n\npjaude3bZ6yNyyG2p3QB3BV4B3XQrcz8fr/b1aSakHbdi8x8iPKP+bPAMyn/dKdRetd8pKX4xrRp\n15l5BeX7cwnwZso/3suAWZn5u5aytuupZbQ2/UyWXMe6G0vaa+tjvaZtjrVNXwVsQzkzNpty1nct\nyr26Z2fmPU3FN+bRbXpWnW46Qrw7NdVnm55alsU27f6HxmLUfY/MvJuSdPq/wPqUfYEXUA7mn5+Z\nf2rZZmubbvxurkzpjdvuO/HI7Tfd99B4GBoe7ndfWpIkSZIkTSX2JJAkSZIkSYBJAkmSJEmSVJkk\nkCRJkiRJgEkCSZIkSZJUmSSQJEmSJEmASQJJkiRJklSZJJAkSZIkSYBJAkmSJEmSVJkkkCRJkiRJ\ngEkCSZIkSZJUmSSQJEmSJEmASQJJUo8i4uUR8ZIOy4brY+7ERjW5IuJJEXHQZMeh/kTE3EbbnYC6\nOn5/JlpEzIiIQzssO6Lp+7zvBIcmSZpEJgkkSV2JiJkR8XXgp8BTJjueZUVE7A9cC7x+smPRsmtZ\n+/5ExBso7fbdkx2LJGnZYpJAktStnYG9JzuIZdBJwIzJDkLLvGXt+3M88KTJDkKStOyZNtkBSJKm\njswcmuwYJEmS1D97EkiSJEmSJMAkgSRJkiRJqoaGh8d9IF9J0nIsIo4APjFCkRdn5kW1bOOfyrzM\n3LhlO3OBjYAfZuYuEbExcBDlWu0NgHuAa4DTM/PrTes9BzgYeAnlGuqFwK+Bz2TmJaPEviLwf4Dd\ngK2AtWs91wE/Ak7OzH+MtI0O290YuGmEIl/JzH3brDcL+BfghcD6dfatwMV1nV/2GkuH+KYBuwL7\nAM+mvL/3A9cD/0V53X8dYf3V6rqvo7xva1He9xuBn9T1b++w7hzgwvr0jZl5XkS8Gngv8Py6rb8C\nFwHHZ+bVdb0h4M3A24EtgMcDtwA/AI7NzPlt6jqCJW1zE+B24P3AXsCmwBDls/5P4HOZeVeHmOdS\n2uaIl8xExOaUgf5eCmwIrFTrvAQ4OzN/OkqM7Tzy/WlaZwh4I7AnsA2wLrCY0uZ+CpyUmf87wjY7\nGuUODr/MzDlt4n4bcA7lu/Rm4DnA6pTP8WLglMy8vIu6t6O0/zmU9j9Eaf8XAWdk5m97fT1N296Y\nJd/JQ4EzgBMo34NVgL8A38/MD7as9xLgDSz5Tq4JLAL+BlwGfK3d59qm/mdT2u6LKQNTrkZ5f34N\nfCEzfzXK+j23LUkaLyYJJEkjGo8kAXAW8GXKgWA7p2bmfhHxHuBEyg5zq4eBfTPznA5xbwH8B/DU\nEWJfALwtM/9zhDLttr0xPSQJIuIJwBcZ/Q4I36G8pnt6iacltk3rdrYaodgC4C2ZeX6b9WcBX6Uc\nqHSyCDg4M89ss/4cliQJ9gZeDbx1hO3sCvwWOA/YqUO5m4HtWhMbLW1za8p7vGWHbfwVeHVmXtkm\n5rmMkCSIiMcBxwIfBFbosH2A84E3Z+bCDjG2s1SSICI2pLTbrUdY517gg5l5yghl2uozSfARYHdg\n2w7rPQwclpnHdqhzZeB0SuJpJGcC+2fm/aOUa1fHxiz5Th5D+a49s6XYCY0kQUTMBL4NzO5i89+i\nfK4Ptql3GvBp4AOjbOMM4L2Z+VDL+n23LUkaLw5cKEkazTeBKyln8g+s8z4PXFD//lOP23s28HVg\nRcoZ3h9TDjJ2opzRA3hvRDxQ61sMfAG4HFgVeAvlTOTjgFMj4vzMvLO5gnpW7xJgjTrrcspB6C3A\nE4BXUA4iZgDfiYg9MvO8Hl7D31hywN9IMFwNHFb/vrkplun1Nb6gzrqbkiD5HTBMORh8W411d2DD\niJiVmff1EE+jridTDrjXrrNuAr4CJDCzbn825XX/R0Rsn5lXNK3/IkpPgVXqrKuAr9XtrE05oH8V\nMB04IyJWz8zPjhDSUcDTgH9QDgD/SDlb+846fzrl4Olayuf/P8CXgHmU5M4BlN4jT6GMxv/mEeo6\nh3JQ+A/gtBr7kyhnrp9d//5lRGyTmdeNsJ12zqR8RlA+v3OA3wAP1Dr3oSQZdgF+HhE7Nn1+XX9/\nIuJJlLPXT66zrqZ8V26kvFezgDdRPp+TI2KVzDyhx9fSaLenU9rEfOBddd4dHdY5mrLP+BdKgu9a\nyvu5F6X9Pg44OiIuz8wLm1eMiBUoB7gvq7PmU9pkI1mzJeW9XQd4B7BuRLwuM8dyFusDlPfokhrv\nipS2f2ZTTD9lSSLtWuAblJ42D1F63ryWJQmEPSg9Ak5sU9dXKT0+AO6jfF8uqdt5AaV3wcqUNn8P\nj04mjKVtSdK4sCeBJKkrEbEvZYcbytn3L7cp001PAihJgT0y8zstZb5IOahruAOYlZnXNpUZAr4L\nvKbO2jczv9K0fBrlAPEZlIPw92XmSW1inQN8n9Jt+m7gaZ260I+k6TU/cha2ZfkJlC7wUA6SX5WZ\nt7aUWZ+SSHhOnfXvmfl+ehQR32PJ+3Iu8H9aDygi4mjgo/XpxZk5q85flXKQ1DhAPQ44NDMfbll/\nd8qB0MrUA6GWRMMclvQkgHIA9rLm1xwRawI3sCSZAeUz3bP5LHJEbEQ5UJ5OOQBbo2X5ESx9lv4a\n4OUtdU2jtNu31Fk/ysydW17TXDr0JIiIN1MOBKEc2O6SmX9pKbMK5cB3jzrruMz8SEuZfRn9+/Mz\nlhxMfxr4aJv3fwvKJSPrAw8Cz8/MP7ZuazRNr/lR39W6/AiWfm9/RPl87mkqM42lD5LPy8w3tmzn\nY8C/1ac/o3zv72op8wTK5z+rztovM0/t8fVszNK9e34BvLL1zH0t+3ZqwqDGtEu73gst35XfZ+bz\nWpa/ntLrA0oC5RWZeU1LmedSLsmYTvndi8y8oS4bSNuSpEFz4EJJ0mQ4uzVBULV2nz6kOUEAUM8w\nntE0a4uWdfakJAigXDv/qARB3c5FLDnzvzrwvi7i7knt0rxffboIeG1rgqDGcivlzOWiOus9EbFe\nj3U9gyUJgutokyCoDqMcTAPsWA+uoJzFbSQIfpiZH2k9QK2xfocl79sKwOGjhPbe1tdcDxK/0TTr\nHsqB8/0t5eZRDoihJCWePkI99wKva1PXg5TX1ug98OqI6HRJwlJqV/CP16eLgde0HsTVOu6lJLdu\nqbP2rwe+XYuIF7IkQXB+Zh7S4f2/ijK+A5Sz+xNxwPh3yuUpS10GU9/b5s//+c3LI+LxwIfq09uA\n3dqNC1F7Au1NaQcAh9Sz/WPxb+0SBNVeTX8fNMLlDUdTEo2w5DelWfN7/9bWBAFAZv4e+GR9+jhq\nsmoi25Yk9cokgSRpMrQdR4DSrbphmCVn6VrNbfq7dYd576a/Tx8ljjMoZ2OhHKQP2ispB7cAX8/M\nuZ0K1mWN92UVSvfiXryu6e9TOnVJrkmWD1O6Pe9C6Z4PS7/+Y0ap62SgcYnHq+pAh+3cMsJgjM2f\n9S86DSrIyJ91s29l5vXtFtT3ojlZ9Jp25dp4HksSEz/OzFs6FczMRSz5/KZTBqDrRdftNjO/Txnw\nD2CXesA5nn7UeklPUyzXU8a4AGhNbO1EGQgQSvvvONZGTe58vz59Cv+/vTuPuaMq4zj+BbW2UqgB\ngwGiqSA+WLFQRcuqlEUDChTFrQJadkGIAQTRGFAwbIlxAdkEWYqpIBERUIOQgFhKIYiWAg8iFIvQ\nQlAb5WUr1D+eM87pvXPvnbnvfRfw90mazn3fMzNntvaeZ855Dszov7q8SAzb6KRIZLpHaxCypU5D\nRHADYFLqxQT8b2hIkaPh3tZhFi0uBb5FDJcpkrKO5r0lItKIchKIiMhYaHvjBvGG2cyKj890aphQ\nvnGH9mRfO2TL08xssx51WU6MQZ5mZpOHkzSwwnbZ8u9qlL8JOCJbty0xYBfbZstdM6m7+w1EAslc\nUdf/EDkcuq3/nJndTuQomEC8Qf59RdHK65zkQYHKxn3S7VrnftPldxAZ9AvbdSrUIr+X1jaz2R1L\nhjzB5kwiD0Zd+b6m1tjXcmLIwXrE2PUlDfbV1OIev19J5LmY2PLz/Jgm1zimPDH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"text/plain": [ "<matplotlib.figure.Figure at 0x10d2295c0>" ] }, "metadata": { "image/png": { "height": 348, "width": 516 } }, "output_type": "display_data" } ], "source": [ "times_21_male.hist(label='male 1/2 marathon',normed=True,alpha=0.3)\n", "times_21_female.hist(label='female 1/2 marathon',normed=True,alpha=0.3)\n", "\n", "# plt.xticks(rotation=30)\n", "plt.xlabel('time to complete the race',size=16)\n", "plt.ylabel('fraction of runners',size=16)\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "# Save data for visualization\n", "lausanne_marathon_viz[\"time_distribution\"][\"21km\"] = {\n", " \"men\": times_21_male.apply(time_to_seconds).values.tolist(),\n", " \"women\": times_21_female.apply(time_to_seconds).values.tolist()\n", "}" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "__Statistical test on 1/2 marathon time, by sex :__" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.36126512817923212, pvalue=1.8953260558079772e-110)" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(times_21_female,times_21_male)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Conclusion: men are significantly _faster_ also on 1/2 marathon" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "times on 1/2 marathon f/m: 02:03.28 01:50.10\n" ] } ], "source": [ "print('times on 1/2 marathon f/m:',my_dt_mean('21','F'),my_dt_mean('21','M')) " ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "### Times for 10km: \n", "(as some runners took more than 1 h to finish the race, there are 2 different data formats: this represent a little challenge for the parsing. For the following solution we give credits to http://stackoverflow.com/questions/23581128/how-to-format-date-string-via-multiple-formats-in-python)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "def parsing_10km(my_list):\n", " \n", " temp_list = []\n", "\n", " for my_t in my_list:\n", "\n", " for fmt in ('%H:%M.%S,%f','%M.%S,%f'):\n", "\n", " try:\n", " temp_list.append(datetime.datetime.strptime(my_t,fmt))\n", "\n", " except ValueError:\n", " pass\n", " \n", " return temp_list\n", "# raise ValueError('no valid date format found') " ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "times_10_male = parsing_10km(trial_dataset[m10].temps)\n", "times_10_female = parsing_10km(trial_dataset[f10].temps)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false }, "scrolled": true }, "outputs": [ { "data": { "image/png": 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0rbJcx0aoRJIkqXCcEZckSZIkKUcGcUmSJEmScmQQlyRJkiQpRwZxSZIkSZJy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\ntovxbA9j2S7Gs12MZ3sYy3YxnnOIifg0ZeaZwLnAvhHxCICoPZsvM38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"text/plain": [ "<matplotlib.figure.Figure at 0x10bddb358>" ] }, "metadata": { "image/png": { "height": 366, "width": 497 } }, "output_type": "display_data" } ], "source": [ "plt.hist(times_10_male,label='male 10km',normed=True,alpha=0.3)\n", "plt.hist(times_10_female,label='female 10km',normed=True,alpha=0.3)\n", "\n", "plt.xticks(rotation=30)\n", "plt.xlabel('time to complete the race',size=16)\n", "plt.ylabel('fraction of runners',size=16)\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "# Save data for visualization\n", "lausanne_marathon_viz[\"time_distribution\"][\"10km\"] = {\n", " \"men\": list(map(time_to_seconds, times_10_male)),\n", " \"women\": list(map(time_to_seconds, times_10_female))\n", "}" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "__Statistical test on 10km time, by sex :__" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.40039535615918465, pvalue=6.5151475523402082e-180)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(times_10_female,times_10_male)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Conclusion: men are significantly _faster_ also on 10Km" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "f10_mean = min(times_10_female) + sum([my_dt - min(times_10_female) \n", " for my_dt in times_10_female],\n", " datetime.timedelta(0)) / len(times_10_female)\n", "f10_mean = f10_mean.strftime('%H:%M.%S')\n", "\n", "m10_mean = min(times_10_male) + sum([my_dt - min(times_10_male) \n", " for my_dt in times_10_male],\n", " datetime.timedelta(0)) / len(times_10_male)\n", "m10_mean = m10_mean.strftime('%H:%M.%S')" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "times on 10Km f/m: 00:59.03 00:51.18\n" ] } ], "source": [ "print('times on 10Km f/m:',f10_mean,m10_mean)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "# Stats on pace" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "## Pace distributions, by race" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Define helpful function for mean of datetime objects:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "def mean_pace(race,my_sex):\n", " \n", " my_list = [datetime.datetime.strptime(str(my_t),'%M.%S')\n", " for my_t in trial_dataset[(trial_dataset.cat==race) & \n", " (trial_dataset.sex==my_sex)].pace]\n", " \n", " my_mean = min(my_list) + sum([my_dt - min(my_list) for my_dt in my_list],\n", " datetime.timedelta(0)) / len(my_list)\n", "\n", " return my_mean.strftime('%M.%S')" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "### Pace for men:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "pace_10_male = pd.to_datetime(trial_dataset[m10].pace,format='%M.%S').dt.time\n", "pace_21_male = pd.to_datetime(trial_dataset[m21].pace,format='%M.%S').dt.time\n", "pace_42_male = pd.to_datetime(trial_dataset[m42].pace,format='%M.%S').dt.time" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "image/png": 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XXXUtf/xjn/w+zz33fE4//UTGj/8fgwdfVmh71atXZ+TI0dSqVSt/3kMPPcjG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"text/plain": [ "<matplotlib.figure.Figure at 0x10bdf4ac8>" ] }, "metadata": { "image/png": { "height": 348, "width": 511 } }, "output_type": "display_data" } ], "source": [ "pace_10_male.hist(alpha=0.2,normed=True,label = 'men 10Km')\n", "pace_21_male.hist(alpha=0.2,normed=True,label = 'men 1/2 marathon')\n", "pace_42_male.hist(alpha=0.2,normed=True,label = 'men marathon')\n", "\n", "plt.xlabel('average pace (min/Km)',size=16)\n", "plt.ylabel('fraction of runners',size=16)\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "# Save data for visualization\n", "lausanne_marathon_viz[\"pace_distribution\"]= {\n", " \"men\": {\n", " \"10km\": list(map(time_to_seconds, pace_10_male)),\n", " \"21km\": list(map(time_to_seconds, pace_21_male)),\n", " \"42km\": list(map(time_to_seconds, pace_42_male))\n", " }\n", "}" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "__Statistical test on men's pace, by race :__" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.09338418582676733, pvalue=1.0774039160931041e-10)" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(pace_10_male,pace_21_male)" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.18151166399503427, pvalue=3.2336052932226477e-23)" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(pace_42_male,pace_21_male)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.23316585788367061, pvalue=9.9261501006407161e-37)" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(pace_10_male,pace_42_male)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Conclusion: men pace significantly _increases_ with race distance (for __all__ races)" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "men pace (min/Km) for 10/21/42 Km: 05.05 05.10 05.31\n" ] } ], "source": [ "print('men pace (min/Km) for 10/21/42 Km:',mean_pace('10','M'),mean_pace('21','M'),\n", " mean_pace('42','M'))" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "### Pace for women:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "pace_10_female = pd.to_datetime(trial_dataset[f10].pace,format='%M.%S').dt.time\n", "pace_21_female = pd.to_datetime(trial_dataset[f21].pace,format='%M.%S').dt.time\n", "pace_42_female = pd.to_datetime(trial_dataset[f42].pace,format='%M.%S').dt.time" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "image/png": 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PP3yfl156gRo1jqJFi1ZcccVVTJ78X1544TnmzZvD2Wf/rNgyKlasyEMPPcKo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"text/plain": [ "<matplotlib.figure.Figure at 0x10d28f6a0>" ] }, "metadata": { "image/png": { "height": 348, "width": 511 } }, "output_type": "display_data" } ], "source": [ "pace_10_female.hist(alpha=0.2,normed=True,label = 'women 10Km')\n", "pace_21_female.hist(alpha=0.2,normed=True,label = 'women 1/2 marathon')\n", "pace_42_female.hist(alpha=0.2,normed=True,label = 'women marathon')\n", "\n", "plt.xlabel('average pace (min/Km)',size=16)\n", "plt.ylabel('fraction of runners',size=16)\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": true, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "# Save data for visualization\n", "lausanne_marathon_viz[\"pace_distribution\"][\"women\"] = {\n", " \"10km\": list(map(time_to_seconds, pace_10_female)),\n", " \"21km\": list(map(time_to_seconds, pace_21_female)),\n", " \"42km\": list(map(time_to_seconds, pace_42_female))\n", "}" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "__Statistical test on women's pace, by race :__" ] }, { "cell_type": "code", "execution_count": 195, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.042865315462569442, pvalue=0.064161356872410827)" ] }, "execution_count": 195, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(pace_10_female,pace_21_female)" ] }, { "cell_type": "code", "execution_count": 196, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.13355810961731485, pvalue=0.001307741132536468)" ] }, "execution_count": 196, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(pace_10_female,pace_42_female)" ] }, { "cell_type": "code", "execution_count": 197, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/plain": [ "Ks_2sampResult(statistic=0.16766404794993239, pvalue=3.7082010609103116e-05)" ] }, "execution_count": 197, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.ks_2samp(pace_21_female,pace_42_female)" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "Conclusion: women pace are significantly _higher_ __only__ on marathon" ] }, { "cell_type": "code", "execution_count": 271, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "women pace (min/Km) for 10/21/42 Km: 05.51 05.48 06.02\n" ] } ], "source": [ "print('women pace (min/Km) for 10/21/42 Km:',mean_pace('10','F'),\n", " mean_pace('21','F'),mean_pace('42','F'))" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "## Pace VS age" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "First we make a copy of the dataframe and transform the pace to usefule _time object_" ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/pandas/core/generic.py:2773: SettingWithCopyWarning: \n", "A value is trying to be set on a copy of a slice from a DataFrame.\n", "Try using .loc[row_indexer,col_indexer] = value instead\n", "\n", "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/indexing.html#indexing-view-versus-copy\n", " self[name] = value\n" ] } ], "source": [ "copy_df = trial_dataset[trial_dataset.cat.notnull()]\n", "copy_df.an = 2016 - copy_df.an\n", "\n", "copy_df.pace = [datetime.datetime.strptime(str(my_t),'%M.%S').time() \n", " for my_t in copy_df.pace]" ] }, { "cell_type": "code", "execution_count": 89, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false }, "scrolled": true }, "outputs": [ { "data": { "image/png": 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zkc3lE9lvkU6RzefYnhljTf8w6Z7Uwg8QERGRhqo24EuPrKV3cIgZoHdwiNSa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nZspZ8rUlqnqNfG2JuXKWeFC8QYwFY8yUxO+omVKGK/v2Ctu2R7e2kFyWWq4/JJYW94WSnF0S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712VVXVTefzFEaG6d05tKwBpteX9ubn095W0/XfikCtKbUqp7KqDGvdt9QlyeMTeS5579cp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\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PZ3BoVxxCkMfkMIORgaDZaLt1WCMaDbtlXVSQ1xVnRqmHgbfnSlren2XerETgSlUEzzF4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OnIbn/1607NC8YNRyOs6u2EnErPfscejkZY3duVVxXa67p58bqWO/ZM5RUL2bFniqPX9foGqgoD\niU615kxBFOd3K9rTkVch+IlHryLcHlpwjn598gqIDUcjDPavWHDeXu2CHsdvXclqyF2zMLfQiUgQ\n8VSCK39x/YKqtEH5VYHNrGeWMRWf5mN3fZYUKe7Zcz/Xnn0V3eEI4VA7l53y1gVFEAq3H4oMsCon\n0JRZx62/q5fnHPn0bLs/jf+ZVKYKsrs+4elrTiaeSjA2M+4WtxjPFjB592mXLigo0dLiZrs5i+B6\nVmz1K97gV+ih8Hz8rlFhld3ucIRopJ8XH/ecvDeykbb8rImuts5sxmRGIpWf1Z8rFArRHmojFDo0\nRgbpI+C5dqDf9Xj3qQuvL1CwkIRznMIiGH6Vcgv7FE8l+Phdn2NiNkbULSBS7Dp6U/FpHoxt5dj+\nY+gOe/9NEJHKq0QF2SDViUstWhHfvYtULEZ6dpZULLZoIY1aV8kNcj1EpLoqMTX4ROCTwHXGmJ8B\nNwI/LGNF4KXsB+bxn/bam9MuFrCdn1hB20IrcSoKL8paO2+MuRfYhLO+4YOHcbzC/hbTtia6I2Fu\nfP9zuW/rGOv6O+mOhNk+Oklsco7ZeIrY5Fy2umpbWyuJVIq2tlYmJud8gyCxyXjeGnixyTgbBrtZ\nuyrC2L5ZBvo62TDY7QQy9s8yPZeE9Gw2ODQYPZRpF24PsWpl/n98VvU4P4fbQ7zvwlMWVGIt5BUw\n2Vmw3tDOvQdZuzq/MEem+InX8f2CbF7H3rt/hpm5FOn0zKLBmg2D3axdvYLx/bOs6j10jUYnppme\nTZJKzWe3LwzahdtDXHb+SXmBye2jkwuub2Zbrwq2QXhdy0ItOW0Lq/QORyNcc9Nd2XO86sJTmJic\nW/C7dcRQD5+6+Kzs+XS76yJedv5J2QzHTL+DBsSCnrdfO6/jnHj0qkMBy1Z40lHVWwckU+gktzqx\nSFCj02PsnY5xMDHNfDpddMXU7nCEzWe8m9+P/oFTh072DaL8afwBUrgBOlJsGf8zp695Svb1pZZW\nD4faueSki3gw9hDH9j/eN9DjV8TjwdjWBRVsnzJ04oJjj06PEZvbz1xqjtjcft8KtH799qtAGyRj\nbbE+FlrXvZa1K4azwa913Wt4bCq/ynp7yPttZeYcZwvOMajY3D7aQ+0kk0naQ+3ZKr9BAok7p0bY\nPb2HNGl2T+9h59Qu1nWv4eN3fS6vEnAmeBrknu+cGmHXwVHSpLMFRDb1HhE4S9AvACsi1VXLCrLF\nVEH2ErQybD1Uya11IFJEFip3IPDHwHNxpqW2Ac93v/YbY74H3GStvWOR7UtmrY0bYx7FCap52QSM\nWWsnjDFbgXONMV3W2hmPdvM4U3n9bM1pm8cYswZn6q11f47gFgex1t7rsa/MituzHq8tebyc5+xh\ntK2ZzNp44RbnvzZ+AYbCLLLurvxf3WNzq+HmRAIzgaF0wWO0p4N40vkPYjyZItrTwe6JafZNxYkn\n5tk3FWf3xDT9Pfl/rPpyfvbKYivMOPM6n4cey1+2sYVDVW4zAcxMlduj1vbmTQPetLY3cPAp2tNB\n0s0sTCadbDc/ztTi/MBmd1ebewyn0m3mmntNz/3Yt/+QDbRe9bpTifZ0kHCvb8K9vqXyupbxRCpv\nivhgv/PPqLurLa9Kb3dXGzv2TDGy9yDpNIzsPciOPVNsGOz2zFDsjoQ57bhD1ScXy3AMGhALkvXo\n187rOOH2EN90i5JkAunVUkpAV2QoMsDqSD9MQ19Hb9EVU+OpBF+6/+tMzO7jrj1/zGbAFQZhoh35\nRaH63Z/9MugKM7TiqQSf/eMNC9oVHmftijW0tRwq4rF2hfOfMa/MRa9j+2WhQX7Qz6/fXtv7tS3k\nl13pxSuTcrBrdd65D3StzvY19xr1d/TlrbeYqQYc1GLXaClpd31A53vnMVMJ2CuQ53XPvfZZKOg1\nh+ICsCJSOaUG40oRNJDnJ1MZNjPl1i/AVstzhPoIRIrIQmVArc1vAAAgAElEQVQNBFprX2SMiQJ/\nD7wap1pwC07F4DcCbzTGPAx8E7jZWru9nMfPcRvwWmPMMdbabLlOY8xanEq5P8pp9wzgacDPctp1\nAmcAW6y1vhO8rbXbjTHbgbONMa3W2vmcl5/uPmYCn8Pu9/dzqGhI5ngR4GRgDHgUf7e5j+cCNxS8\nVni8u3GmB5/rsZ/CtjURT6S47LP/w1hshv6cqadeAYbC56YmknSGW5mNz9MZbmVqJkl0pZPZNpyT\n1bd+sNtz+iiQN7V4T2yG9YPdRHs6mJ9PE+3pYDga4ed37cjr891bx3nBGd2+5+M1TbSw7+tW52+/\nZnW3k5E3kJ+RB/hPxQ0QfJqYnKO9LUQilaS9LcTE5NyiwaLCANRDj+UXJfnLzgOc1BX2mOp8gJ17\nney8nXun+evIAbo62xZk2nVHwsQTKT50013Z+/O+C08JHETyupa7J6Zpb2slmUrRnnMcr7471+yQ\nFp99evELvlYrIOZ3nExRklqsExI0sClSKBxqzxYmaJ+L5AVLgmRUeWXADUYGFgRhNvYewZrIUHa9\nuI29G3y37+voW5ChFZvbF+g4TraaU8SjPRTOZqt1hyN8+KxD69B1hyPsmBzxzN675KSLsLGtmP5j\nssHGwuP4Zf55ZbH5HadQ0OzK3HuXu5+xmTFSaXfpjvQ8YzN7CYfWeF6jttY2kimnOnHmGhXzO+M3\nLXqp3xcnWHko2DnQtZqxmTHPtn7XuND67jV560yu614TeFsoLgArIpVTajCuFEEDeRleWXVBptzW\n8hyh9oFIEfFW9qnB1toJnCDVDcaYI3ACgq8CTnCbPA74IPABY8z/4kwdvsUtJlIuNwGvBa41xrzC\nnXrbgrMWH8BX3MdvA1cAm40xv7bWZuabXoEzrfcrLO1m4ErgLTjFPjDG9LjPzbivY619xBjzB+Bk\nY8yrrbWZasotwEeBAeCD1lrf2UruPm4HXm6M+ZS19i53H08AXgPcZa39g9v2oDHmB8CrjTEvstb+\n0G27FrgEGMHJ4KyZ3RPTjMVmmJpJMJ9O+049hYVBh+FohIG+yIJMrngixVhsmuQ8jMWmiSdSC46b\nzbwrWBMPFj4+9YQhvv/rR7LbnnH8oQqGXufjFyzK7ftRa1fmFdw4au1Kz4w8v3MPGnzyW28uKK81\nHL3OcTSWP0V3NDbNGScMe2ba7dgzxU43K2/n3oM8tmeKo9YFL17t9XvgdZzHr88v8vK4dSvp7gqz\nbvXS6zp6GY5GFgSJ/fpUKQq8SSPJVEzNDWIHzdTzyg7zC8JcfuolC4JHXtvft3fLggytJ64+PtBx\nFstW6w5H8jK9/LL3CrPQijmO1/ZBM+h8syuTcaeYS2phMZe87edTedl2ifmkb9+91lss6nfGY52+\nIBl4XtOK13WvZc2Kobxpzpn709/Ry3x6nv6cbNXCgKNXdmQxWYteQWIRqb5ig3GVOH6QoFgpWXW1\nPsdaByJFxFsl1gjMcjP+PgJ8xBhzIk5Q8AJgHU485hz36wtu0Opma+3Py3DcX7hTkV8J3GGM+RVw\nJk7m3y3AT9x2DxpjPgG8G7jHGPMjnIDlecDtwFdz92uM2exutznn6euAVwDXG2POBR4GXgYcBbzV\nWpv7sfMbgVuBm40xLwO2uX06Bfgf4NqcY20EXg9ss9bemLOPS922txpjvgWkcIKALcCbCy7FFcBz\ngO8bY74D7MW5/oM4lYtrWiZpOBphwJ3K2Z8TXCmceuolsy5d4ZptW7bFcGfDkpyHBx6NcdLjVnsG\ngLzWxCtcn/CIoR4+8sbT+OXdIzzrKWuJruzy7E/mfLwy9QrPxyvLL3NOQQM9QdqWmq3mtYZjuD1E\nvxsQy9yzzPThjKH+SOBjL7VG11L8jjM1k6SzvZXZxDyd7ZmM0S7PdR2D/L7l9rXUPucKemyRZhA0\nU687HFmQHRa0yEPmucLtvTK0vNr5FfEIsq6c37G9sveKOY5fENRvjcGlrvlgZCBwMZdwa/641d7a\n5hlM88voK0XQDDy/a+lVMCYjd+Jv0GIsxZ5jYZBYRGpjORSyKDWrrpbnWOtApIh4q2ggMJe7Lt69\nxph340xXfSXwEmAIiOAEs15Vxj69FtiCE0x7G7AduBq4riDr7r3ADpwg2qXAbuDTwAdyMgQz3u8+\nbs45rwPGmKfhBPFeCDwPp9jHBdba7+ZubK292xhzKk5G5DNxAo7bcvqVe7yN7vF+jZM1mbuPzPFe\nDSRwpvi+L5MhmNN2uzHmqTgZhy8EQsC9wIXlCLiWKtwe4uOXnMPI2BRh0tn15j5w4++zQbv3v/5U\nz2qv8USKj377D9l2V7/OaXfCxn7aQy0kUulsFptfYY/CDLzhaGRBkCueSPG5H/yJvftneeDRiexx\n/M6nMCi1WPXaXePTRHs6yhYAmpqOZwOjmSnAXgFDr3Z+vKaeptNp5tNp0m6Z46PWrmTd6kPFWDat\nXem3OzYMdrNm1aFsyMwU6FJ4nWO0p4PUvNO/lJvF59U2nkgtKCDiV3jFK0hciqAVh0WahVfA5p49\n9+Zl6mUq8pYahIH8oH441M5A16rsNGK/SsJewbjF1pXzmrrqVZ04SIVgv+MUEwT1uuaFQbtiirl4\nFRDJ8KrSW7ifoMU1vNoGzcDz+93w6o9XUZM0BJ7yG+Sai4gUa7ln1S2HYKtIs6laIDDDDcLdaoz5\nM05Q6goOZQguXH358I+TAK5xv5bqzxfcr6X26dk/a+0o8IaA/XoQJ4NwqXa34nM93Om/zwt4vIdx\n1mysSx3tITat7c0GmuyOGLvGnammu8an2bojxjEb+j3WpdvPiLsu3cjeaf46sh9zZJTuSJhPelR8\nDTLdGA5d8Myj33H8FO7TaypttKeDd37h9myw8pMXn1V0oYfCwOjUdJx3fOF2p4JsqIVP+exzajrO\nOz5/G8l5aGuFT73l7KKOXbjeYmZq77tfdXJe1eDF1gJsbWmhtbWF1pay/XNfIOj6iF4FRI72mKpc\niSq5QYu+iDQLr4BNX2f+eJupyOu3fZBAk9/6e/viB4jPJ9gXP+Ab7ImnElx/z5fzqs0uVrU3yNTV\noIGqxdYIDBoE9Qu85Y7GQ5EBVkX6mD+YPz3W75oXZtbtmBwJVCG4mOIafm2DnnfQAJ1fcPFwC5WI\niJRDPWbVqRKwyPJW1UCgW0n3fJxA2Knkx13mySnYIc3pryP5RR7+umuSlSs6GN8/y/RcEtKzbgAl\nP1lzfPLQz4UVX/0UBtMy+52Npxg/MLfkcYJM6/QKIN3z0F4SbqGSRCrNA4/GAvU397iFQbZ7Hx7P\nK35y38PjnPnENQu2vffh8byp0/c9Ms6ZT1jYzk8iOY+bCEg6DfHkvGdFXb+1AHdPTDPhZtZNlCmz\nzsvhro/oF5osR1EQr4rShRmoXu1EGpHfGnSFAZtNKzewJjLE3tkJVndG2bhyQ/Bj+ASPil3nL5dX\ntdl13Ws815UbnR5jfCbGbGqW8ZnFM+tg6WUHFutjkEBXPJXg43d9Lpu9lwliFgbtBiMDpNPBl0Hw\nynD0uh6Firk+iwVBy5mB5xdcLPe05lIFXcNRRBpHPWXVqRKwyPJX8UCgMaYPeDnOtN+nAa3uS5n/\ncz+AU0X4W9baXZXuj9S3048f5D9u25b9+bTjBljRGSaRdIp+JJIpoj0dRHs6CLVCah5CrfCko1YV\ndRyvaZndXW3MzDlT0GbmknR3tXHi0atoayWbQZc5zmJTfgvXAywMIJ2wsZ+2UEs2e+/4I/uz+wwS\nAPIKsq2M5P9HoPDn7PMrgrXz097WmvdzuK3VM7PNK2AIxWXWlRIQCxq42zDY7bl+pN8+Dzdo6fX7\nAgszUCs1XVjBRakn8VQi+Bp0oXbPgh9B+AWP+jv6SKQSACRSCfo6+gJnl7UsEh4r/CChv6OP5Lw7\nrXk+SV+HdzajX8DSq0BFKQGpnVMjnkFMz4IoM/uYTc4Swz+jbymF16PwfIJeH1g8CFoJhXe5nqb8\nFvPvR0SaTzUy9VQJWGT5q0gg0BjTCbwYJ/j3XCDzDiXzvnAc+A7wTWvt3ZXogyxPc4k0XeEQM/EU\nXeEQc4k0c4k5Qu66f6FQCxOTc86abz7VG4IEPbyCV5kpyRl/2XmA044b4lNvOXvBVGOv7YejEc8g\njlfV36H+ruyaeoutJRhEGoh05v8noKvT+z8FkY72Q1WTga6O4v7zsGGwm/UDCwNnhcG9HXum8rYL\nuwHEoAG6cgTEghZU8Vo/sty8fl+ABdmRQNmnC2stQqk3xaxBB4cfhPELHsXm9hFqCZFMJwm1hNg3\nt4/ucCTQcbyqzXpl1a3vWetZrdarOqxfwY4gBSqKkfbIefYriLI60g/T0LfE1GAvflmGhecT9Pr4\n9bMSipmuXCvF/vsRkeZRrUy95b5moYiUORBojHkBTvDvRcAK9+nMO88E8J842X8/cdfwE8kzHI2w\nuq8rG7TIFOzInfYa7elgy7YY7lOk0mSn1y62Nl3hcQqDV9GejgWFRsB7qrHX9n5rvnlNQY5NxYkn\n54lNxYsOAG0Y7F5Q8Rhg3cDC5wqPvWGwm7Ue7bzaegm3h7j8gifnrQcILAju+QUMM/tYKri1e2J6\nwXTwSq2fV0qmX1B+mZBBnytFNa+lSBClBpqC8gse9Xf0kUo7WeapdGrRTDSvfRauiecXcAyaxebV\nLmhF3GKs717DmhVD2fUNM4U9vAqifPjZlzMyuYf2uUjRgTCvjMtSpmPn9qvSAa9KXPdyq9a/H5Hl\nziszrtHXtatWpl49rlkoIsUpd0bgjzmUbJTxB5zg37etteNlPp4sc3OJFDv3TNHRks5mz112/kl5\ngaYde6byAoF7YjOe1YHBmTb72NhBAB4bO7Q2XSGvzLRwe4iPXHQGdz6whzOOH8xm/3kFyLy29wr2\neGVjFRMU8jp+uD20oOIxLKyC7BcU9do2aNaY13qAXu1KzbSL9nQsmA5eDrWaIuuXCRn0uVJU6lqK\nHK5SA03FHqswkFNMJlqQfS5W7CNIFptXJeJig2RBqu96BTF9z7EtzMb+9XkV44PyyrgMWhk56LmU\ng9dxqj0F+XBU89+PyHLllRkHNPy6dtXM1KunNQtFpHiVmBrcAuwGvoUz9XdLBY4hDSCeSHHZZ/+H\nsdgM/T0d2XXTCgNNiUx1i8x2yXnf6sBORt0hBwt+zlWYCRZPpLj+lvsZPzDLbx8YzfbHL8PQa8pv\nYRBz++ikZzZWYTvA8zm/AF2QKsh+BTu8tg1awbaUKdHFmJico62tlUQqRVtbq2/V32LUeops0MrV\n5c5QrMS1FClVKYGmUlUi2OOXrRa0iMdn/3jDgumol5x0ETa2FdN/TDbYE5vZz+9G/8BpQyfT39Wb\n3T7odNaglZVL4ZVx6RXs9OpPtabm+h2nWlOQS1XLfz8iy4FXZlw6nW74de2UqSciQZU7EPg9nOy/\nn1lr55dqLM1t98Q0e2IzHJxJMD+f9p0i297WSkuLU3SipeXQenNeU3YnJmfyft43Oet7fO+qwQuL\nXngF0/z2VxjE9MrG8moHCwOgfn3ymm4cxGIVIIMW8ShmSnQphqMRois7Gd8/S7ScU2TL3M/lYDga\nYXVv/nR7kWZWiWBPKcE0vzUCC4ODB+PTvO+ODwPww0d+yoeeeiX9Xb2+01mD9ClTSTgzXfiyU95a\n8vXwyrgMh9o9g51BrkUlpuYudpx6KgwiIofHLzOuGda1KzVTLzU3x8zOEeY7ViqQKNLAyhoItNZe\nUM79SWPLBMXgUJAs3B7yDEh5VXb1CoYN9a/IO8ZAv3fQI+iU3cKiF4sF0/wKQhQWOoGFwU6v544Y\n6gk83dgrGOi3lmDQqc5evLIei6kEXIzCirqlqlQ/g6q3ackizW6x8bwYpWaxBV0jcMu4zdvu93vu\n4TlHPt1z+6B9emxq14JKwpt6S8uQ8Tuf8ZkYs6lZxmf8C1wMRQbo7+hlPj1PfwXXvytHVmglpjBX\na1q0SKPzy4xTttzi5uNx7rt8M/G9Y7T2RRty+rSIOCpSNfhwGWOeYK39U637IdUxMTlHuK2VRHI+\nO2XxiKEez6BF4XpzfuvfHbV2JWtXR9i7b5bVfZ0ctXal57H9ssO8il54BdO8+AXtUu76him30Ilf\nsNPrOa8gzvbRyUCZbV7rAZY6PdZvjcByB5oy92c2nmL8QHmy92oZEKvHackizarc009LzWLzq9xb\nGKha0baCHz7y0+x2pw4+2Xf7HZMjgfrUUmQ4NOhahIX96e/oIznvLNWRnE9mC7T47a9cHwD5KTUr\ntBJTmJdDxWKR5cQrM07r2i0uvnsX8b1jJKcO0jqfbsjp0yLiqEgg0BjTAfwNcCwQAUIsfF/XArQD\nnUAvcBLwxEr1SerPcDTCYDSSXSNwsQytYta/u/p1py4Z7AmaHRZuD/HuC57Mlm0xTtjYv2jwxivQ\n5ExtDpFIJWlvCy0a7AwapMpUOJ6fdwKLxVy3xaYaBwlU+W1f7kBTtKeDpLs2ZDI5X7YCF7UKiFVq\nWnJhsR0RWVq5p5+WI7ssSAGScFcv7z/tcn498hvOXXtmdo1Ar+2D9mld91rWrBhiYjZGNKeSsJdS\n1iL0my5cuL/R6TFic/uZTc0Rm9tf0aq9pUwBrsQU5uVQsVhEGlt4eA3h1c7fi9a+aMNOnxaRCgTd\njDFnA98F/N9NemuhfDN1ZBkIt4f40JvO4t6te1jf35XNWPvgN3+fzei7+nWnegY4Esl50u5vSzrt\nFBAp9tiXnX9SXoDPKxgG3mv3Lbbf3ADPcDRCX0+YZGqevp5w0dNR/fqU+YdS7D+Y4WiEfjeImBt8\nDRqoKmZ6bTFTYaem49l70R0JMzE5tyCAupwLXFRiWrJXsR0FA0WWVu5iIZUsMJE7xsdTCb665SYm\nZmNsjf1l0fX8iqlYHLSScCmBqqDTn/s7+kikEgAkUols5mC9qUTBmeVQsVhEFpqPx4nv3kV4eM2y\nn0bbGg7zpOuuZXZkF1PhnmV/PiLir6yBQGNMFPghEPSdW5pDmYIp4H/L2R+pb/FEimu+dHteIOOR\nkQOM7HXWzBvZO80jIwc49sj+Bdu2uwVDMjIFRIJmtnlNcfVb46+UTK54IsWe2AzJVJo9sZnsmohe\nwT2vfvv1KTY5x2w8RWxyrug+ea29V0yGZJDMxWKmwk5Nx3nnF24nkUrTHmrhkxef5fSntxNKKHBR\nqzX5vFRq+vRYbIapmQTz6XTTFD8RKZVfkKyU9dnKXWDCK/tu59RIUev5Be2TZyXhZJyRyVHaUyuy\n16KUQJXfdOHCoF9sbh9trW0kU0naWtvYN7eP7vAiHziVcM/8tj3c6c+lWi4Vi0XkkPl4nO3XXkNy\nYpy26KqGWFMv1NHBik0bmVZVcpGGVu6MwDfhBAHTwDjwNeAR4ELgTOBHOIHCfuBk4MU4U4fTwPOs\ntb8sc3+kjnkFMsYP5Ff5jR3wrvq7YbCb9QMLC4jsnphm7/4ZZuZSpNMzvsERrwCbXzCslEyuLdti\nJN01ApOpNA88GmM4GlnQR4Dx/bNMzyUhvXixkFL6tHtimgk3iDiRE0QsJlAVZHptMVNht2yLkXCv\nUcK9RqcdN1RS4MxvDclaBgfLPS15OBphoL8LYMmp9SKSrzD4VW/rs3lly6UrvnKeI55KcOUvrmfv\ndIy+jt7stQiH2rnkpIuwsa2Y/mNKDpbG5vYRagmRTCcJtYTYN7ePocgAq7r6s/dhsWBjKffMb9ti\nqihXorqwKhaLLC/x3btITowzPz1NEiq6pl4jZR6KSO2VOxD4N+5jDDjRWrsLwBjTCpwFRK21X880\nNsYcgxMYPAa4wS0W4h35kYbjFciI9nTQFmohmUrTFmrhiUev8tw23B5aUEAEgq8t5xVg8wuGlRKQ\nevz6/GIlj1u3knBbyLOPiWR+BeXMeZazT4tl/pUzUFXMVFiva1Rqf7zWkFw/2F3Tgh3lFm4P8fFL\nzmFkbIowWiNQGlc1Kqn6TXutVRVXv+y7NSuGskGqxdbzK8Xo9BhjByeYTs6Qmp/Puxaf/eMNZQuW\n9nf0kUo7f/dS6RR9HX1FZcWVMlXZb9tKVFEWkcYVHl5DW3QVSaAtuqpia+o1YuahiNRWuQOBBie7\n7+ZMEND1O/fxNGNM2FobB7DWbjXGvBz4A7AJuAD4Rpn7JHXKL5Ax2N+VXSOw2My0oGvLlTsDzs/U\nTJLOcCuz8Xk6w61MzSSB5II+ArS1tZJIpbIVlDP99jr+4fapUpVzCzPtijnO1EySro42Zuacx6mZ\nJNGV5Z3am6ZyBTtqqaM9xKa1vYxp+oY0qGpl6nkF3mqZJegXELv0yf/smZFXzoBlf0cfiXlnym5u\nhd9yF7PwKiDSHY4EzoorZaqy37bFVlEWkebWGg5zxBVXkRjdTfvQcMWCc9XMPBSR5lDuQGBmbcA/\nFDz/Z2Aep0rwE4G7My9Ya/9kjPkx8BLg71AgsKkUBjJ2T0yzbypOPDnPvql40cGaYtaWKwymFbOu\nXTH9GeiLZPeZndrr0cfVvV0L2lVCuaeo+l23oMcZjkZY3duZd+6l3osNg92sXb2C8f2zrOrtZIM7\ndbzcBTtEpLKqVUnVK/C2Y3KkplVcvaYve2XklTtgmQnQJebzA3TlLmZR6v5KWVPPb9tiqiiLiIAT\nDKx0UK5amYci0jzKHQhMAmFgKvdJa+2sMeYxYANwHDmBQNd/4wQCn1Dm/sgy4zeltLCqLHhnjIXb\nQ1z68idy55Y9nHHCYPZ5r7aFz1UiYyxTnfiBR2Mcf2T/olN7S83Uq9X6d0HXZfTjlT24fXTSc83E\nYvZ5lcfU8UpkQ9abeiqSIlKqalZSLQy81VsVV7+gaLmDpUORAQYi0ewagZnzLncxi3Lsr5Q19by2\nLaaKsohItVQr81BEmke5A4ETOMU/oh6vPYITCDzW47U97mNt32VLzXkFhbyqyobbQ54ZY1PTcd57\nw50kUmn+322P+LYFFhSTKGZdu6DiiRQf+8492cy0q9yiFeWc7ps5Tq3Wvwu6LuNiCs892tPhuWZi\nKfv0ey6o5RBgq+XvgUgl1LKSar1VcfULTJY7YBkOtfPhZ1/OyOQe2ucieedd7mIW9Vgcox77JCJS\njcxDEWke5Q4E3g+sxykM8rWC1/4CPB2nWnChoQr1R5ahwmCNV1VZr8q7Rwz1+LYtzC5LJOcXFJM4\nal1v2bPyduyZYsQ9zsjeg+zYM8XR63oDbVuMWq5/F3RdxmL36bdmYrkFue7LJcDWiOsgingFZqpV\nxKPUoFA5++kXmMxU830w9hDH9j++LNcj3BZmY/96rT8qIiIi0oDKHXj7b+AFwKuMMTdZa2/Nee0+\n9/FcY8ygtXZPzmsvcx/3lrk/0gBO2NhPe6glmxF4/JH9AJ5ZaH5tC7PLRmMzecfILA9e7qy8Qi1F\nbFuuasCVVsy6jMXssxprJga97sslwFbL3wORaqllEY9iVKKffkHRclbzFREREZHGVu5A4DeAzcAK\n4OfGmH8H3metfQT4MXA90An8yBhzGc5agm8CzsGJxfy2zP2RBtAdCfPJi8/KrrPXHQmzfXTSMwut\nOxLmIxedwZ0P7OGM4wezbQuzy/yKSZRi98T0gszDof4uWlsglYbWFqcictBti10T77LzT8quo7jY\n2ojlVo5KxEGrDpf7fIIG+JZLgK1SVaFF6km1CoiUqlr9XC7XoxlUK1NVRKQc5uNx4rt3ER5eo3UH\nRZpMWQOB1tqYMeZSnGnBIeCVwJeAR6y124wx3wUuAE4BfuWxiy+Xsz/SOLojYU47bij7s18WWjyR\n4vpb7mf8wCy/fWCUK1/7FM/ssnB7iHdf8OQFgbNSeK1rNxqbYd5JXGR+HkZjM55TXEtdEy+eSPHx\n7/5xQTZitaazVmJ9w2pVdQ4S4FtOAbZyV4UWqTf1VsTDT7X6uVyuR6NbLpmqIiLgBAG3X3sNyYlx\n2qKrOOKKqxQMFGkiZV+Tz1r7DWPMAeBTOOsF/jXn5TcDJwBP8tj009ban5e7P7L8BMn68gvM+FWw\nLWzrFTgrNbjjta4d4MwHTjuPflODJybnCLlTmkOhlqLXxPPKbAOWxXTWoFl5fu1KyRIsJsCnAJtI\nfShHEY9qZG5Vq9hINYuaKOPNnzIzRWQ5ie/eRXJinPnpaZJAYnS3ipGINJGKFOew1n7fGPMD4KnW\n2sdynt9vjDkdeBvwQmA1TjXhf7HW/qASfZHlpZisL6/AjF8F28K2lVjzzW9du3WrV2SrE6/3mYIc\n7ekg5RY5SaXSRWcE+mW2LYfprEGz8rzalSNLUAE+keWnlCIe8VSCj9/1OcZnY6zq7OeyU95a0SBd\nNYJB1TiOMt4Wp8xMEVlOwsNraIuuIgm0RVfRPjRc6y6JSBVVrEqvtTYN/Mbj+TngY+6XNLm5RIqd\ne6boaEkTbg+VHKALWsG2Emu++WWXve/CU5bMOCu18q7fsYuZzlqN9QS9BM3K82q3fXRyWWQ9ikj9\neGxqF7sOjpImza6Do+yc2sWm3uWdBVGNTL16zHirpwzFamZmioiUqjUc5ogrriIxupv2oeHstODU\n3BwzO0eY71hZF1OFtY6hSGVULBAospR4IsU7r/81eyZmiK7s4KoLTyk5QBe0gm0xU0L9AmRT0/Hs\nGoOLBe28Ms4Kty1H5V2v4wTNdis1s65aQcTC8ylHQLfUvtcqgCqynMWTcUYmR2lPrSjb1N6p+DQP\nxrZybP8xdIf9x4KWbJ342igleOW1bbUy9fwy3sodjAu6P7/zrmVwsFoZoCIi5dAaDudNB56Px7nv\n8s3E947R2het+bqBWsdQpHIUCJSa2bFniu27J0mnYWRvkh17pjh6XW9JRRnKXdTBL0A2NR3nnV+4\nnUQqTXuohU9efBbh9lCgYNrUdJy3f/42UvMQaoVPv+VsuiNhz6q/1eK3tmIQ8USKa266K1uB+aoL\nTyk6iOh3jQsDrUGrCy92rMK1IksNgJa7gIkCi9Lo4sj0SWUAACAASURBVKkEV/7ievZOx+jr6C06\ncOUVAIqnElxx2zWkSBEixLVnX+UbDFzXvZY1K4aYmI0R7exnXfeacp3aYfU96LlnpjRn+p2Z0lyJ\nTD2vQK1Xxlsx5xMkQFfMtG2v8x6MDGj6sojIYYrv3kV87xjJqYO0zqfLtm7g4Wb1aR1DkcpRIFDq\nRqaQRqlrtnltHzQAVNjOL0C2ZVuMhLumXyKV5oFHYwxHI4zvn2V6Lglp/2mqd28dI+VWEk7Nwz1b\nxzj9hOGyFy8pht/aikHs2DPFyN6DbkD3YDagG5TXdPBoT0fgQGspWY+lTkUv91qTlQgsitSb0ekx\n9k7HOJiYZj6dLjpw5RUAemxqhBRO5fUUKbaM/5nT1zzFc/twqJ3LTnlrTYprlBK02zk14jmlub+j\nj0QqAUAilaCvoy9wf/za+AVqCzPegp5P0IBhMdO2vTIU63H6sojIchEeXkN4tZPt3doXLcu6gaVk\n9WkdQ5HKUSBQambDYDdHDPewZ2KGVSs7soU0vDKiSsmSChoAGo5GFrSL9nSQSDj/uUwkUtkA2Qkb\n+2l3q/y2h1o4/sh+p00ylX3MtC3sezKVPy0tkUpXpHiJ17H9lLpGYS6/ysh+vKb33vPQXu9Aa5mD\ndmWZil7GtSYr9XsgUk+GIgOsjvTDNPR19BZdVMErADSdmMlr09/Rv+g+alVco5iCEoVBu7TP6Bqb\n20dbaxvJVJK21jb2ze3zzIYMGowrJlAb9HyCBuiKmbbtlaGogh0iIoevNRzmSdddy+zILqbCPWWZ\nhltKVp/fOoYiUjoFAqVmwu0hPnnpuYyMTREm7ZupB5SUJRU0ALR7YnpBRl8iOZ+XvTcam6E7EqY7\nEuYjF53BnQ/s4YzjB+mOhNk+OknIDQ6GQi1MTM55ZrGtW70ir3/rVq+oSPGSYrLLSlmjcMNgd6DK\nyH68pvd6BVrD7aGyB+1KnUpe7qnolfg9EKk34VA7H3725YxM7qF9LlJ0Rp5XAGhj7xGsiQwxPjvB\nqs4oG3s3VKj3wfkFv4IUlPAK2q3vXsOaFUPZabOZKc1DkQFWdfVn25YajCsmUBu0QEbQAF2x07YL\nA7oq2CEiUppQRwcrNm1kemyyLPsrNauvcB1DESkPBQKlpjraQ2xa28uY+8fGK2gHlJQlFTQAFO3p\nWJDR99jYVDY/IQ0k3dfjiRTX33I/4wdm+e0Do9nswZSbxZZKpYn2dHiez1FrV7JudYSxfbMM9HWy\nae3KsgeU/K6l33Ur5fjh9hCXX/BkHng0lg3YFatwem93JMwnLz4ru89MdmIlgnaVmIpeyr7K/Xsg\nUo/CbWE29q/Pjv1Fb+8RALr81EvqKgDkF/wKko3oF7TzmtJc7mBcsYHaIOcTtI/lmLatgh0iIvVD\nWX0i9UmBQKkrfhlRpWRJBQ0ATUzOLcjoa28L0YITBGwB2tqcbf0CloXTa4ejEfp7OpifT9Pf05E9\n/lWvO7XsAalCxWaXHe7x44kU133nnmxG4PuKLBbipzsS5rTjhsrSx3JtXw3LoY8i9ajeAkClZKcd\nThBxqUm1xfSn1ECt3/GD3J96u48iIlIaZfWJ1B8FAqWu+AXtSs2SChJc8croC7eHWDuwIlsRd4M7\n7dU3YOkxvTazqlPu6k7VCPZUK7tsx54pdrrFQnbuPchje6Y4qohiISIijepwg1rFBO2KqdyrIJuI\niIiIKBAodccrSFaNwJlXwYwjhnq46sJTPLP3ggQst49OMjE5x2w8xcTkXNWLP9Qiuyz4Uu8iIuIn\naNBOlXJFREREpBitte6ASBDxRIrto5PE3Qq+lZApmBHpbGNV76GMvkwwrTCjzuv5wucymYORzra6\nL/5wuNd4w2A3a1evoDMcYu3qFdmsSRERqbzMNOKuti5VyhURERGRJSkjUGpqLpFi554pOlrSvlNX\ni6l+W4pKTKVdLsUfSrnG4faQZ9akiIhUnirliohIuaTm5pjZOcJ8x0oV9hBpYAoESs3EEyku++z/\nMBabob+nwzf4VEz121JVYirtcij+UOo1Xg7nKCLSqLT2n4iIlGo+Hue+yzcT3ztGa1+UI664SsFA\nkQalqcFSM7snphmLzTA1k2D8wKHKu4WW0/Ta5UrXWERERESkecV37yK+d4zk1EGSE+MkRnfXuksi\nUiHKCJSaGY5GGOjvAqC/p8M3+BRuD3HZ+SfxwKMxjj+yv+pTT+OJVMNPe10uU5hFRERERKT8wsNr\nCK921plt7YvSPjRc4x6JSKUoECg1E24P8fFLzmFkbIowi68R+PHv/rHiawT6Hbsa6xPWA03vFRER\nERFpTq3hME+67lpmR3YxFe7RtGCRBqapwVJTHe0hNq3tXTS4lrt+3WJTiCuhlscWERERERGpllBH\nBys2bVQQUKTBKSNQ6l5m/TqYrfr6dbU8toiIiIiIiIhIOSkQKHWvluvXae08EREREREREWkUmhos\ny0Jm/bpaBOJqeWwREamdeCrBjskR4qlErbsiIiIiIlIWyggUERERKRBPJfjE3Z9nYnYf0c4+3vWU\ntxAOtde6W2UXTyUYnR5jKDLQkOcnIiIiIvkUCBQREREpMDo9xsTsPmaSM0zMwp7pMdb3rK11t8qq\nWYKdIiIiInKIpgaLiIiIFBiKDBDt7KOrrYtoZx+DkYFad6ns8oOd+9gzPVbrLomIiIhIhSkjUERE\nRKRAONTOu57yFvZMjzHYoNNmM8HOiVkaNtgpIiIiIvkUCBQRERHxEA61N9x04FzNEOwUERERkXwK\nBIqIiIg0qUYPdoqIiIhIPq0RKCIiIiIiIiIi0gQaNiPQGNMGvBX4P8AmYBfwDeCj1tpEQdsLgbcD\nxwAx4N+Aq621UwGPFQU+CPwtMAj8GbjOWvs9j7ZHANcAzwBWAw8CXwS+Zq1NBzzeK4BLgROBkLuP\nL1lrv+LRdgNwLfBMoBe4B/iAtfYXQY4ltRdPpNg9Mc1wNEK4PVTr7oiIiIiIiIjIMtXIGYFfAD4F\njAPXAztxgnXfyW1kjHkv8E2ca/E54F6coODPjDHhpQ5ijFkB/Bx4E3An8HmgD/iuMeYtBW3XA78D\nXgXcjhMAbAe+6m63JGPMlcD3gKOBfwW+BkSBG4wxny1oOwTcBrwC+C/3OI93z+1FQY4ntRVPpPjw\nzXdz3Xfu4cM33008kap1l0RERERERERkmWrIQKAx5kzgjcAtwDnW2vcA5wA3AS8zxvyt2+5InODg\nHcAp1tr3WGvPw8nYe6q7j6VcCpwMXGKtPd9aezlwErAF+JgxZjCn7XXAEPAya+0F1tp3AU/GCda9\n2RjzhCXOawPwfuCvwAnW2oustW8BTgD+CLzVGHNyzibXAEe4x/tHa+3b3b6OAl80xnQEOD+pod0T\n04wfmGV6Nsn4gVl2T0zXuksiIiIiIiIiskw1ZCAQuNh9/EBmuq37+F4gDfyT+/obcaZHX1swXfha\n4EBOu8W8GSew9uXME9baSeDDQAQn+w9jTAuwDrjLWvvDnLZJ4N/dH89Y4lgvxMkg/JS1djxnH1PA\nJ90fn+8erxu4ELjbWvvjnLYjwGfdvjw/wPlJDQ1HI6xa2Umks41VKzsZjkZq3SURERERERERWaYa\ndY3Ac4C91to/5T5prR0xxmwFzs1pB3BrQbtZY8wdwHONMb3W2v0AxphMULHF/flonIDaLdbawjmb\nv3IfzwU+4wYiz8Xbse7jaOYJY8zT3X382lr7dPfpu4GrgF967GPOfex2H08HOnL64de3//Dpk9SB\ncHuIK1/7FK0RKCIiIiIiIiIla7hAoDvddT3wW58m25xmZgBnnb1Rn6Ig29zHY4Dfu99/oKDN0e7j\nw4UbW2t3G2Nm3e29+tkKrAX+AbgIp4jHTwuO/4GcfmCt/S3+5/VS93HLUn0j/9wO28BATymbV2xf\njWjd2r6aHl/3p77p/tS3Rrw/5TqnRrw2jUT3p77p/tS3Rrw/eu/fPHR/6pvuT31bDven4QKBOIUz\nAPb5vL7ffewFVuGst7dUOwCstZsL2qxa4lgHcrcv8E3gNZldA893pwlnjrUNKDyeJ2PMM4DzgTHg\n/wbo24JzExERERERERGRxtaIgcB293HO5/XM851u2yDtSjmW36Ju9wAjOIVFngPcbox5thsADMwY\n8yTg+0AL8M/W2oMB+hbk3JY0NjZZyubAoWh5OfYl5af7U990f+pbLe5PtT6BLPWc9Ltb33R/6pvu\nT33T2L84/f7WN92f+qb7U9+W0/jfiIHAGfcx7PN6plLuQbdtkHalHMtze2vtpzLfG2PeDHzB/Tpv\nkePlMcachjOduB94r7X2BwH7FuTcRERERERERESkgTRi1eD9wDz+0157c9rFArbzEytoW2jlEtsD\nYK39IvAX4HnGGL+gYh5jzHk4RT+iOEHAjxbRtyDnJiIiIiIiIiIiDaThAoHW2jjwKLDJp8kmYMxa\nOwFsBYaMMV0+7eaBhxY53NactnmMMWtwpt5a9+cVxpjnG2PO9NnXozj3I+rzeu6+L8Sp9tuJMx24\nMAi4aN9ynrNLHUtERERERERERBpDwwUCXbcBw8aYvKq4xpi1OJVy78xp1wo8raBdJ3AGsMVa6zvB\n21q7HdgOnO1WAc71dPfxDvexD/hP4HOF+zHGtAHH4xQX2bvYiRljXgp8AydI+Upr7Q0+Te/GmR58\nrsdrhX0TEREREREREZEG16iBwJvcx2szATpjTAvwEff5r7iP3wZSwGZjTEfO9lfgTOv9Cku7GVgP\nvCXzhDGmB7gSJxB3M4C1difwG+BkY8z5OW1bgA8Ba4CbcisHFzLGrAduxCkMcr619ha/tm7RkB8A\nTzXGvChnH2uBS3AKlfw4wPmJiIiIiIiIiEgDaMRiIVhrf2GM+R7wSuAOY8yvgDNxMv9uAX7itnvQ\nGPMJ4N3APcaYHwEn4BTsuB34au5+jTGb3e025zx9HfAK4HpjzLnAw8DLgKOAt1prx3La/jPwv8C/\nGmP+HtgGnAWcDtwFvDfnWBuB1wPbrLU3uk9fjhOgfAQ40Rhzosfp32mt/f/c76/AqUj8fWPMd3Cy\nDS8ABoGXutOoRURERERERESkCTRqRiDAa4GrgdXA24Bh9+fXWGvTOe3ei5PNlwYuBZ4AfBo4z1o7\nV7DP97tfWdbaAzgBxq+7jxcD+4ALrLWfL2h7P3Aq8G84U3bfirMm4AeBc621UznNN7rHen3Oc+e4\nj0fl9KXw63k5x9sOPBVnPcEXAv+EW5TEWvvDwgsmIiIiIiIiIiKNqyWdTi/dSsTD2Nhkyb88AwM9\nmX2V3B8pP92f+qb7U99qcX8GBnpaqnGcUsd//e7WN92f+qb7U9809i9Ov7/1Tfenvun+1LflNP43\nckagiIiIiIiIiIiIuBQIFBERERERERERaQIKBIqIiIiIiIiIiDQBBQJFRERERERERESagAKBIiIi\nIiIiIiIiTUCBQBERERERERERkSagQKCIiIiIiIiIiEgTUCBQRERERERERESkCSgQKCIiIiIiIiIi\n0gQUCBQREREREREREWkCCgSKiIiIiIiIiIg0AQUCRUREREREREREmoACgSIiIiIiIiIiIk1AgUAR\nEREREREREZEmoECgiIiIiIiIiIhIE1AgUEREREREREREpAkoECgiIiIiIiIiItIEFAgUERERERER\nERFpAgoEioiIiIiIiIiINAEFAkVERERERERERJqAAoEiIiIiIiIiIiJNQIFAERERERERERGRJqBA\noIiIiIiIiIiISBNQIFBERERERERERKQJKBAoIiIiIiIiIiLSBBQIFBERERERERERaQIKBIqIiIiI\niIiIiDSBlnQ6Xes+iIiIiIiIiIiISIUpI1BERERERERERKQJKBAoIiIiIiIiIiLSBBQIFBERERER\nERERaQIKBIqIiIiIiIiIiDQBBQJFRERERERERESagAKBIiIiIiIiIiIiTUCBQBERERERERERkSag\nQKCIiIiIiIiIiEgTUCBQRERERERERESkCSgQKCIiIiIiIiIi0gQUCBQREREREREREWkCCgSKiIiI\niIiIiIg0AQUCRUREREREREREmoACgSIiIiIiIiIiIk2grdYdkMZmjBkGNgPnAUPABPAL4Gpr7SMF\nbS8E3g4cA8SAf3PbTVWzz83MGPMJ4J3AM6y1txa8pvtTA8aYVwOXAk8A9gO3A1dYa7cWtNP9qTJj\nzCrgQ8CLgAFgBOe6b7bWTue0awPeCvwfYBOwC/gG8FFrbaLa/a4Wjf/Lh8b++qTxv35p/PensX95\n0fhffzT2169GGvuVESgV474R+B1wEfBn4Hr351cBvzfGPD6n7XuBb+L8Tn4OuBdnYPuZMSZc5a43\nJWPMacDbfF7T/akBY8yHgG8BfcAXgVuBlwB3GmM25rTT/akyY0w3cBvwz4DFGd9GgMuAn7tvADK+\nAHwKGHfb7QQ+CHynmn2uJo3/y4fG/vqk8b9+afz3p7F/edH4X3809tevRhv7FQiUStoMbADeaa19\njrX2Mmvti4ALgSjwSQBjzJE4/zDuAE6x1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"text/plain": [ "<matplotlib.figure.Figure at 0x10dc385c0>" ] }, "metadata": { "image/png": { "height": 425, "width": 641 } }, "output_type": "display_data" } ], "source": [ "g = sns.FacetGrid(copy_df,col='cat',row='sex',hue='cat')\n", "g.map(plt.scatter,'an','pace',s=2)\n", "\n", "\n", "# g = sns.factorplot(data=copy_df,x='an',y='pace',kind='box',\n", "# col='cat',row='sex',hue='cat')\n", "\n", "g.set_ylabels('average pace',size=16)\n", "g.set_xlabels('runner\\'s age',size=16);" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "__Age VS Pace correlation__" ] }, { "cell_type": "code", "execution_count": 135, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [ { "data": { "text/html": [ "<div>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>correlation</th>\n", " <th>p-value</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>f10</th>\n", " <td>-0.056288</td>\n", " <td>4.207625e-03</td>\n", " </tr>\n", " <tr>\n", " <th>f21</th>\n", " <td>-0.064283</td>\n", " <td>1.438986e-02</td>\n", " </tr>\n", " <tr>\n", " <th>f42</th>\n", " <td>-0.167475</td>\n", " <td>1.307315e-02</td>\n", " </tr>\n", " <tr>\n", " <th>m10</th>\n", " <td>-0.258214</td>\n", " <td>6.346756e-40</td>\n", " </tr>\n", " <tr>\n", " <th>m21</th>\n", " <td>-0.195661</td>\n", " <td>3.694399e-26</td>\n", " </tr>\n", " <tr>\n", " <th>m42</th>\n", " <td>-0.237944</td>\n", " <td>1.752555e-15</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " correlation p-value\n", "f10 -0.056288 4.207625e-03\n", "f21 -0.064283 1.438986e-02\n", "f42 -0.167475 1.307315e-02\n", "m10 -0.258214 6.346756e-40\n", "m21 -0.195661 3.694399e-26\n", "m42 -0.237944 1.752555e-15" ] }, "execution_count": 135, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ageVSpace = pd.DataFrame([stats.pearsonr(trial_dataset.an[f10],trial_dataset.pace[f10]),\n", " stats.pearsonr(trial_dataset.an[f21],trial_dataset.pace[f21]),\n", " stats.pearsonr(trial_dataset.an[f42],trial_dataset.pace[f42]),\n", " stats.pearsonr(trial_dataset.an[m10],trial_dataset.pace[m10]),\n", " stats.pearsonr(trial_dataset.an[m21],trial_dataset.pace[m21]),\n", " stats.pearsonr(trial_dataset.an[m42],trial_dataset.pace[m42])])\n", "ageVSpace.set_index([['f10','f21','f42','m10','m21','m42']],inplace=True)\n", "ageVSpace.columns = ['correlation','p-value']\n", "ageVSpace" ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "We can reasonably conclude that there is _no significant linear correlation_ between average pace and runner's age, for all competitions and for both sex." ] }, { "cell_type": "markdown", "metadata": { "run_control": { "frozen": false, "read_only": false } }, "source": [ "## Export JSON for visualization" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false, "run_control": { "frozen": false, "read_only": false } }, "outputs": [], "source": [ "### Run only if necessary\n", "import json\n", "with open('../../website/_data/lausanne_viz.json', 'w') as out_file:\n", " json.dump(lausanne_marathon_viz, out_file)" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" }, "latex_envs": { "LaTeX_envs_menu_present": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "colors": { "hover_highlight": "#DAA520", "running_highlight": "#FF0000", "selected_highlight": "#FFD700" }, "moveMenuLeft": true, "nav_menu": { "height": "512px", "width": "252px" }, "navigate_menu": true, "number_sections": false, "sideBar": false, "threshold": 4, "toc_cell": true, "toc_position": { "height": "554px", "left": "874px", "right": "20px", "top": "59px", "width": "238px" }, "toc_section_display": "none", "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 0 }