{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "source": [ "# Polar Verity Sense: Guide to data extraction and analysis" ], "metadata": { "id": "LgdgFSzo9SYs" } }, { "cell_type": "markdown", "source": [ "\n", "\n" ], "metadata": { "id": "H7zTf9DPDIXS" } }, { "cell_type": "markdown", "source": [ "*^ A picture of the polar verity sense heart rate monitor ^*" ], "metadata": { "id": "naL5gEN2DaZ4" } }, { "cell_type": "markdown", "source": [ "The [Polar Verity Sense](https://www.polar.com/en/products/accessories/polar-verity-sense) is a $89 armband heart rate sensor that has often been reviewed as a viable alternative to ECG chest-strap style monitors. Portable and comfortable, it can be worn for exercises indoors, outdoors, and even in the pool.\n", "\n", "Beyond its accuracy as a heart rate monitor, the Verity Sense's utility lies in its interface with Polar's official app, which helps keep track of data collected from the sensor as well as providing plenty of useful visualizations and analytics. \n", "\n", "In the following sections, we will present what we have learned from using the Verity Sense and how to extract its data for visualizations and statistical analyses. With the wearipedia library, this process will only require your username and password!" ], "metadata": { "id": "XI6MGYdH9-pH" } }, { "cell_type": "markdown", "source": [ "We will be able to extract the following parameters (in bold are parameters we will be using in this notebook). Per Activity means one measurement through a single session of exercise. Per second means one measurement every second throughout an exercise.\n", "\n", "Parameter Name | Sampling Frequency \n", "-------------------|-----------------\n", "Calories | Per Activity\n", "Duration | Per Activity\n", "Sessions | Per day\n", "Continuous Heart Rate | Per second \n" ], "metadata": { "id": "qfKAFMwf-cm2" } }, { "cell_type": "markdown", "source": [ "In this guide, we sequentially cover the following **nine** topics:\n", "\n", "1. **Set up**
\n", "2. **Authentication/Authorization**
\n", " - Requires only username and password, no OAuth.\n", "3. **Data extraction**
\n", " - We get data via `wearipedia` in a couple lines of code.\n", "4. **Data Exporting**\n", " - We export all of this data to file formats compatible by R, Excel, and MatLab.\n", "5. **Adherence**\n", " - We simulate non-adherence by dynamically removing datapoints from our simulated data.\n", "6. **Visualization**\n", " - We create a simple plot to visualize our data.\n", "7. **Data visualization & analysis**
\n", " - 7.1 Heart Rate Zones during an Exercise Session
\n", " - 7.2 Visualizing Heart Rate Averages and Sessions over a Month
\n", " - 7.3 Visualizing Continuous Heart Rate data
\n", "8. **Outlier Detection and Data Cleaning**\n", " - We detect outliers in our data and filter them out.\n", "9. **Data Analysis**
\n", " - 9.1 Analyzing correlation between Average Heart Rate and Calories Burned per Minute
\n", " - 9.2 Analyzing correlation between Duration of Workouts and Calories Burned\n", " - 9.3 Analyzing how activity intensity compares in first half and second half of a session\n", "\n", "**Note that we are not making any scientific claims here as our sample size is small and the data collection process was not rigorously vetted (it is our own data), only demonstrating that this code could potentially be used to perform rigorous analyses in the future.**\n", "\n", "Disclaimer: this notebook is purely for educational purposes. All of the data currently stored in this notebook is purely *synthetic*, meaning randomly generated according to rules we created. Despite this, the end-to-end data extraction pipeline has been tested on our own data, meaning that if you enter your own email and password on your own Colab instance, you can visualize your own *real* data. That being said, we were unable to thoroughly test the timezone functionality, though, since we only have one account, so beware." ], "metadata": { "id": "I_NoC7rF_G64" } }, { "cell_type": "markdown", "source": [ "\n", "\n", "# 1. Set up" ], "metadata": { "id": "xKwooMsw90yZ" } }, { "cell_type": "markdown", "source": [ "## Participant Setup" ], "metadata": { "id": "QbaGwQiCcOHz" } }, { "cell_type": "markdown", "source": [ "Dear Participant,\n", "\n", "Once you unbox your Polar Verity Sense, please set up the device by following the video:\n", "\n", "\n", "* Video Guide: https://www.youtube.com/watch?v=wiA_ucJJV7Y&t\n", "\n", "\n", "Make sure that your phone is paired to it using the Polar Flow login credentials (email and password) given to you by the study coordinator.\n", "\n", "Best,\n", "\n", "Wearipedia" ], "metadata": { "id": "Hj6CmfBJcTHY" } }, { "cell_type": "markdown", "source": [ "## Data Receiver Setup" ], "metadata": { "id": "yNaCJSmVcRM5" } }, { "cell_type": "markdown", "source": [ "Please follow the below steps:\n", "\n", "1. Create an email address for the participant, for example `foo@email.com`\n", "2. Create a Polar Flow account with the email `foo@email.com` and some random password.\n", "3. Keep `foo@email.com` and password stored somewhere safe.\n", "4. Distribute the device to the participant and instruct them to follow the participant setup letter above.\n", "5. Install the `wearipedia` Python package to easily extract data from this device." ], "metadata": { "id": "E1DMSOoddDFK" } }, { "cell_type": "code", "source": [ "!pip install git+https://TrafficCop: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@github.com/TrafficCop/wearipedia.git" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "-MYY4ukfbH-K", "outputId": "10d4297a-c930-4abf-bf6b-385b9e8f362c" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Looking in indexes: https://pypi.org/simple, https://us-python.pkg.dev/colab-wheels/public/simple/\n", "Collecting git+https://TrafficCop:****@github.com/TrafficCop/wearipedia.git\n", " Cloning https://TrafficCop:****@github.com/TrafficCop/wearipedia.git to /tmp/pip-req-build-3248x7v1\n", " Running command git clone --filter=blob:none --quiet 'https://TrafficCop:****@github.com/TrafficCop/wearipedia.git' 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" Attempting uninstall: typer\n", " Found existing installation: typer 0.7.0\n", " Uninstalling typer-0.7.0:\n", " Successfully uninstalled typer-0.7.0\n", "Successfully installed cloudscraper-1.2.68 colorama-0.4.6 commonmark-0.9.1 garminconnect-0.1.50 requests-toolbelt-0.10.1 rich-12.6.0 shellingham-1.5.0.post1 typer-0.6.1 wearipedia-0.1.0 wget-3.2\n" ] } ] }, { "cell_type": "markdown", "source": [ "**For cleaning up old installations only:**" ], "metadata": { "id": "iuKAZSPkBIq7" } }, { "cell_type": "code", "source": [ "!pip uninstall wearipedia" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "0zK0ldtQuxok", "outputId": "60116cc6-6da8-4928-d50a-29f45d729ba0" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Found existing installation: wearipedia 0.1.0\n", "Uninstalling wearipedia-0.1.0:\n", " Would remove:\n", " /usr/local/bin/wearipedia\n", " /usr/local/lib/python3.8/dist-packages/wearipedia-0.1.0.dist-info/*\n", " /usr/local/lib/python3.8/dist-packages/wearipedia/*\n", "Proceed (Y/n)? Y\n", " Successfully uninstalled wearipedia-0.1.0\n" ] } ] }, { "cell_type": "markdown", "source": [ "#2. Authentication/Authorization\n", "To obtain access to data, authorization is required. All you'll need to do here is just put in your email and password for your Polar Verity Sense device. We'll use this username and password to extract the data in the sections below." ], "metadata": { "id": "xVLQb6ux-hDj" } }, { "cell_type": "code", "source": [ "#@title Enter Polar login credentials\n", "\n", "email_address = '' #@param {type:\"string\"}\n", "password = ''#@param {type:\"string\"}" ], "metadata": { "id": "_45KxrBEGbfX" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "# 3. Data extraction" ], "metadata": { "id": "q116WA9g-x1J" } }, { "cell_type": "markdown", "source": [ "Data can be extracted via [wearipedia](https://github.com/Stanford-Health/wearipedia/), our open-source Python package that unifies dozens of complex wearable device APIs into one simple, common interface.\n", "\n", "First, we'll set a date range and then extract all of the data within that date range. You can select whether you would like synthetic data or not with the checkbox." ], "metadata": { "id": "H4uekNkDKQGo" } }, { "cell_type": "code", "source": [ "#@title Enter start and end dates (in the format yyyy-mm-dd)\n", "\n", "#set start and end dates - this will give you all the data from 2000-01-01 (January 1st, 2000) to 2100-02-03 (February 3rd, 2100), for example\n", "start_date='2022-03-01' #@param {type:\"string\"}\n", "end_date='2022-06-11' #@param {type:\"string\"}\n", "synthetic = True #@param {type:\"boolean\"}" ], "metadata": { "id": "I_v0JMCAenpX" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "**CHANGES TO SYNTHETIC THAT NEED TO BE DONE**\n", "1. Ability to support different range of custom dates" ], "metadata": { "id": "z6YDmBrQALQk" } }, { "cell_type": "code", "source": [ "import wearipedia\n", "\n", "device = wearipedia.get_device(\"polar/verity_sense\")\n", "\n", "if not synthetic:\n", " device.authenticate({\"email\": email_address, \"password\": password})\n", " params = {\"start_date\": start_date, \"end_date\": end_date}\n", " data = device.get_data(\"sessions\", params = params)\n", "else:\n", " params = {\"start_date\": start_date, \"end_date\": end_date}\n", " data = device.get_data(\"sessions\", params = params)" ], "metadata": { "id": "haj-SgI9fEJY", "colab": { "base_uri": "https://localhost:8080/" }, "outputId": "d036f3d8-958a-4eb1-c800-c9d8f87dc8d8" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "100%|██████████| 108/108 [00:00<00:00, 8073.73it/s]\n", "100%|██████████| 108/108 [00:06<00:00, 17.41it/s]\n" ] } ] }, { "cell_type": "markdown", "source": [ "To get a list of the days that actually have data, we can list out the keys for the returned data. Note it might not be feasible to actually print out the entire set of returned data, as it can be quite large." ], "metadata": { "id": "HwWvlNBLEhyE" } }, { "cell_type": "code", "source": [ "print(data.keys())" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "D5G_5jR6_BAp", "outputId": "a887766b-b612-4768-9752-222e6253685e" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "dict_keys(['2022-03-01', '2022-03-02', '2022-04-05', '2022-03-23', '2022-04-20', '2022-05-11', '2022-03-06', '2022-05-18', '2022-04-18', '2022-05-05', '2022-04-09', '2022-04-06', '2022-05-19', '2022-03-30', '2022-06-08', '2022-06-04', '2022-03-21', '2022-04-19', '2022-04-15', '2022-04-14', '2022-03-22', '2022-05-12', '2022-06-06', '2022-03-11', '2022-03-31', '2022-06-02', '2022-05-26', '2022-03-10', '2022-05-03', '2022-04-23', '2022-06-11', '2022-04-03', '2022-06-03', '2022-05-22', '2022-05-31', '2022-03-16', '2022-05-17', '2022-04-10', '2022-06-05', '2022-05-15', '2022-04-27', '2022-05-08', '2022-03-19', '2022-05-20', '2022-06-01', '2022-04-26', '2022-05-16', '2022-05-21', '2022-04-12', '2022-03-04', '2022-03-28', '2022-04-24', '2022-04-01', '2022-04-25', '2022-04-07', '2022-03-12', '2022-06-10', '2022-03-20', '2022-03-26', '2022-03-27', '2022-05-28', '2022-04-30'])\n" ] } ] }, { "cell_type": "markdown", "source": [ "# 4. Data Exporting" ], "metadata": { "id": "cfUa31-NJLH6" } }, { "cell_type": "markdown", "source": [ "In this section, we export all of this data to formats compatible with popular scientific computing software (R, Excel, Google Sheets, Matlab). Specifically, we will first export to JSON, which can be read by R and Matlab. Then, we will export to CSV, which can be consumed by Excel, Google Sheets, and every other popular programming language.\n", "\n", "## Exporting to JSON (R, Matlab, etc.)\n", "\n", "Exporting to JSON is fairly simple. We export each datatype separately and also export a complete version that includes all simultaneously." ], "metadata": { "id": "FY0XyxmxdowU" } }, { "cell_type": "code", "source": [ "import json\n", "\n", "hrs = [data[k]['heart_rates'] for k in data.keys()]\n", "calories = [data[k]['calories'] for k in data.keys()]\n", "hr_avgs = [sum(data[k]['heart_rates']) / (data[k]['minutes'] * 60) for k in data.keys()]\n", "durations = [data[k]['minutes'] for k in data.keys()]\n", "\n", "json.dump(list(data.keys()), open(\"dates.json\", \"w\"))\n", "json.dump(calories, open(\"calories.json\", \"w\"))\n", "json.dump(hrs, open(\"hrs.json\", \"w\"))\n", "json.dump(hr_avgs, open(\"hr_avgs.json\", \"w\"))\n", "json.dump(durations, open(\"durations.json\", \"w\"))\n", "\n", "complete = {\n", " \"dates\": list(data.keys()),\n", " \"calories\": calories,\n", " \"hrs\": hrs,\n", " \"hr_avgs\": hr_avgs,\n", " \"durations\": durations,\n", "}\n", "\n", "\n", "json.dump(complete, open(\"complete.json\", \"w\"))" ], "metadata": { "id": "MUP8QbnmtdF6" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "## Exporting to CSV and XLSX (Excel, Google Sheets, R, Matlab, etc.)" ], "metadata": { "id": "lywBjc_DBDTw" } }, { "cell_type": "markdown", "source": [ "Exporting to CSV/XLSX will require us to first process the data into a pandas dataframe format, which can then be converted into our desired file type.\n", "\n", "Here we will export three separate files: the first will contain heart rate data (labeled by date and time), and the second will contain daily summary data such as calories, average heart rate, and minutes (labeled by date). Additionally, we will make a third dataframe containing only heart rate data for one session (of your choice) to help us with further visualizations and analysis in the following sections of this notebook." ], "metadata": { "id": "Z6wODk-cBIW_" } }, { "cell_type": "code", "source": [ "day = \"2022-03-01\" #@param {type: \"string\"}\n", "\n", "# set the day of interest automatically if not specified\n", "if day == \"\":\n", " day = list(data.keys())[0]" ], "metadata": { "id": "ZwrOmk0GFVGK" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "import pandas as pd\n", "from datetime import timedelta\n", "from datetime import datetime\n", "import numpy as np\n", "import copy\n", "\n", "# Third dataframe and list of dataframes:\n", "hr_df = None\n", "hr_dfs = []\n", "\n", "# 1. First dataframe\n", "all_df = None\n", "for key in data.keys():\n", " duration = data[key]['minutes']*60\n", " start_time = timedelta(hours=0, minutes=0, seconds=0)\n", " times = [str(start_time + timedelta(seconds=i)).zfill(8) for i in range(int(duration))]\n", " tdf = pd.DataFrame(zip(times,data[key]['heart_rates']),columns=['time','bpm'])\n", " mapping = lambda x: np.datetime64(key+ \" \" + x)\n", " tdf[\"time\"] = tdf[\"time\"].apply(mapping)\n", " if key == day:\n", " hr_df = tdf\n", " if type(all_df) == type(None):\n", " all_df = tdf\n", " else:\n", " all_df = all_df.append(tdf)\n", " hr_dfs.append(copy.deepcopy(tdf))\n", "#print(\"DataFrame 1: All heart rates\")\n", "#display(df1)\n", "\n", "# 2. Second dataframe\n", "df2 = None\n", "for key in data.keys():\n", " avg_rate = sum(data[key]['heart_rates']) / (data[key]['minutes'] * 60)\n", " if type(df2) == type(None):\n", " df2 = pd.DataFrame([[key,data[key]['minutes'],data[key]['calories'], avg_rate]],columns=['day','minutes','calories', 'avg_rate'])\n", " else:\n", " tdf = pd.DataFrame([[key,data[key]['minutes'],data[key]['calories'], avg_rate]],columns=['day','minutes','calories', 'avg_rate'])\n", " df2 = df2.append(tdf)\n", "#print(\"DataFrame 2: Summary Data\")\n", "#display(df2)\n", "\n", "# 3. Third dataframe\n", "print(\"DataFrame 3: Single session heart rate\")\n", "display(hr_df)" ], "metadata": { "id": "S2T9oM7Vdz1w", "colab": { "base_uri": "https://localhost:8080/", "height": 441 }, "outputId": "71a8d319-6327-44bc-e707-dcea611f393b" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "DataFrame 3: Single session heart rate\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ " time bpm\n", "0 2022-03-01 00:00:00 94.110535\n", "1 2022-03-01 00:00:01 91.859208\n", "2 2022-03-01 00:00:02 93.210171\n", "3 2022-03-01 00:00:03 92.384613\n", "4 2022-03-01 00:00:04 94.371856\n", "... ... ...\n", "3295 2022-03-01 00:54:55 137.121507\n", "3296 2022-03-01 00:54:56 137.750669\n", "3297 2022-03-01 00:54:57 138.724507\n", "3298 2022-03-01 00:54:58 139.206589\n", "3299 2022-03-01 00:54:59 138.982279\n", "\n", "[3300 rows x 2 columns]" ], "text/html": [ "\n", "
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\n", " " ] }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "With this, we have retrieved all the data we need! Now we can start visualizing our data." ], "metadata": { "id": "lX5c4u2F-Kze" } }, { "cell_type": "markdown", "source": [ "# 5. Adherence" ], "metadata": { "id": "00EXnoNha36z" } }, { "cell_type": "markdown", "source": [ "The device simulator already automatically randomly deletes small chunks of the day. In this section, we will simulate non-adherence over longer periods of time from the participant (day-level and week-level).\n", "\n", "Then, we will detect this non-adherence and give a Pandas DataFrame that concisely describes when the participant has had their device on and off throughout the entirety of the time period, allowing you to calculate how long they've had it on/off etc.\n", "\n", "We will first delete a certain % of blocks either at the day level or week level, with user input." ], "metadata": { "id": "UYv17T2osq2N" } }, { "cell_type": "code", "source": [ "#@title Non-adherence simulation\n", "block_level = \"day\" #@param [\"day\",\"week\"]\n", "adherence_percent = 0.74 #@param {type:\"slider\", min:0, max:1, step:0.01}" ], "metadata": { "id": "xfyU84Fos63M" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "import numpy as np\n", "import pandas as pd\n", "from datetime import datetime\n", "import copy\n", "\n", "if block_level == \"day\":\n", " block_length = 1\n", "elif block_level == \"week\":\n", " block_length = 7\n", "\n", "dates = np.array(list(data.keys()))\n", "\n", "num_blocks = len(dates) // block_length\n", "\n", "num_blocks_to_remove = int((1-adherence_percent) * num_blocks)\n", "\n", "remove = np.random.choice(dates, replace=False, size=num_blocks_to_remove)\n", "\n", "adhered_data = copy.deepcopy(data)\n", "adhered_dates = copy.deepcopy(list(data.keys()))\n", "\n", "for key in remove:\n", " adhered_data.pop(key)\n", " adhered_dates.remove(key)" ], "metadata": { "id": "7cK3DZV9tINS" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "And now we have significantly fewer datapoints! This will give us a more realistic situation, where participants may not use their device for days or weeks at a time.\n", "\n", "Now let's detect non-adherence. We will plot the days when the participant uses the watch and when they do not." ], "metadata": { "id": "fk-Kpjrr3FIQ" } }, { "cell_type": "code", "source": [ "import matplotlib.pyplot as plt\n", "from datetime import datetime\n", "import pandas as pd\n", "\n", "datelist = pd.date_range(start_date, end_date)\n", "is_wearing = []\n", "print(adhered_dates)\n", "for date in datelist:\n", " if datetime.strftime(date, \"%Y-%m-%d\") in adhered_dates:\n", " is_wearing.append(1)\n", " else:\n", " is_wearing.append(0)\n", "\n", "plt.figure(figsize=(12, 6))\n", "plt.plot(datelist,is_wearing,drawstyle=\"steps-mid\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 429 }, "id": "M5qPB71U4gLv", "outputId": "d0f55370-9f2b-44e5-a0be-807ca7e0cfbe" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "['2022-03-01', '2022-03-02', '2022-03-23', '2022-04-20', '2022-05-11', '2022-03-06', '2022-05-18', '2022-04-18', '2022-05-05', '2022-04-09', '2022-04-06', '2022-05-19', '2022-03-30', '2022-06-04', '2022-04-19', '2022-04-15', '2022-04-14', '2022-03-22', '2022-05-12', '2022-06-06', '2022-03-31', '2022-06-02', '2022-05-26', '2022-03-10', '2022-05-03', '2022-04-23', '2022-06-11', '2022-04-03', '2022-06-03', '2022-03-16', '2022-05-17', '2022-04-10', '2022-05-15', '2022-04-27', '2022-05-20', '2022-05-16', '2022-04-12', '2022-03-04', '2022-03-28', '2022-04-24', '2022-04-01', '2022-04-25', '2022-06-10', '2022-03-20', '2022-05-28', '2022-04-30']\n" ] }, { "output_type": "execute_result", "data": { "text/plain": [ "[]" ] }, "metadata": {}, "execution_count": 18 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": [ "# 6. Visualization" ], "metadata": { "id": "BbYnd1Lza5us" } }, { "cell_type": "markdown", "source": [ "We've extracted lots of data, but what does it look like?\n", "\n", "In this section, we will be visualizing our three kinds of data in a simple, customizable plot! This plot is intended to provide a starter example for plotting, whereas later examples emphasize deep control and aesthetics." ], "metadata": { "id": "_Z9FANojswgS" } }, { "cell_type": "code", "source": [ "#@title Basic Plot\n", "feature = \"average heart rate\" #@param [\"heart rate\", \"average heart rate\", \"calories\"]\n", "start_date = \"2022-10-21\" #@param {type:\"date\"}\n", "time_interval = \"one week\" #@param [\"one day\", \"one week\", \"full time\"]\n", "smoothness = 0.05 #@param {type:\"slider\", min:0, max:1, step:0.01}\n", "smooth_plot = True #@param {type:\"boolean\"}\n", "\n", "from scipy.special import y0\n", "import matplotlib.dates as mdates\n", "import matplotlib.pyplot as plt\n", "from datetime import datetime, timedelta\n", "import pandas as pd\n", "from scipy.ndimage.filters import gaussian_filter1d\n", "\n", "if time_interval == \"one day\":\n", " datelist = pd.date_range(start_date, periods=2)\n", "elif time_interval == \"one week\":\n", " datelist = pd.date_range(start_date, periods=8)\n", "elif time_interval == \"full time\":\n", " datelist = pd.date_range(start_date, end_date)\n", "end = datelist[len(datelist)-1]\n", "\n", "title_fillin = feature\n", "\n", "if feature == \"heart rate\":\n", " tempdf = all_df[all_df[\"time\"].map(lambda x: datetime.strptime(datetime.strftime(x,\"%Y-%m-%d\"),\"%Y-%m-%d\") < end)]\n", " y = tempdf[\"bpm\"]\n", " x = tempdf[\"time\"]\n", " sigma = 200*smoothness\n", "elif feature == \"average heart rate\":\n", " tempdf = df2[df2[\"day\"].map(lambda x: datetime.strptime(x,\"%Y-%m-%d\") < end)]\n", " y = tempdf[\"avg_rate\"]\n", " x = tempdf[\"day\"]\n", " sigma = 5*smoothness\n", "elif feature == \"calories\":\n", " tempdf = df2[df2[\"day\"].map(lambda x: datetime.strptime(x,\"%Y-%m-%d\") < end)]\n", " y = tempdf[\"calories\"]\n", " x = tempdf[\"day\"]\n", " sigma = 5*smoothness\n", "\n", "if smooth_plot:\n", " y = list(gaussian_filter1d(y, sigma=sigma))\n", "plt.figure(figsize=(16,10))\n", "plt.plot(x, y)\n", "plt.title(f\"{title_fillin} from {start_date} to {datetime.strftime(end,'%Y-%m-%d')}\",fontsize=20)\n", "plt.xlabel(\"Time\")\n", "plt.ylabel(title_fillin[:-1])" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 644 }, "id": "lTcdO26HtZLk", "outputId": "e2f3fbb8-f8a2-41b4-ea67-310b64056c58" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Text(0, 0.5, 'average heart rat')" ] }, "metadata": {}, "execution_count": 19 }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": [ "This plot allows you to quickly scan your data at many different time scales (day, week, and full) and for different kinds of measurements (heart rate, average heart rate, and calories), which enables easy and fast data exploration." ], "metadata": { "id": "RwmVAxHm_cC_" } }, { "cell_type": "markdown", "source": [ "# 7. Advanced Visualization" ], "metadata": { "id": "xCiqKLIq-0_i" } }, { "cell_type": "markdown", "source": [ "## 7.1 Visualizing Participants Heart Rate Zones during Exercise" ], "metadata": { "id": "OHjeuQmiKFrZ" } }, { "cell_type": "markdown", "source": [ "One of the graphs the you see when you open an exercise session on polar is a bar chart of heart rate zone durations, or how long your heart rate zone stayed in some range throughout your exercise. It looks something like this:" ], "metadata": { "id": "vJxOApUv3ak5" } }, { "cell_type": "markdown", "source": [ "\n", "" ], "metadata": { "id": "dN9IAHg5YeMB" } }, { "cell_type": "markdown", "source": [ "At the bottom (gray) zone is the amount of time spent with heart rate between 100-120 bpm, the next being 120-140 bpm, then 140-160 bpm, 160-180 bpm, and finally 180-200 bpm.\n", "\n", "We will want the following data:\n", "\n", "* The zones we want to plot\n", "* Time in each heart rate zone\n", "\n", "Polar uses the following zones: 100-120 bpm, 120-140 bpm, 140-160 bpm, 160-180 bpm, 180-200 bpm, which is what we will be using as well. \n", "\n", "To get the time spent in each heart rate zone, we can use the pandas groupby function to aggregate the heart rates by zones, and then count the number of entries in each group. Since the continuous heart rate data has an entry for every second, this directly gives us the time spent in each heart rate zone." ], "metadata": { "id": "zLaER1dCQO23" } }, { "cell_type": "code", "source": [ "import pandas as pd\n", "\n", "ranges = [100,120,140,160,180,200]\n", "z1 = hr_df.groupby(pd.cut(hr_df.bpm, ranges), as_index=False).count()\n", "z2 = pd.to_datetime(z1['bpm'], unit='s')\n", "z2 = pd.DataFrame(z2.dt.strftime('%H:%M:%S'))\n", "display(z2['bpm'])" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 121 }, "id": "dhTTlNxHnJTI", "outputId": "bc71adbe-8e16-4375-ee3c-c0ad913d8f4a" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "0 00:05:56\n", "1 00:27:52\n", "2 00:12:57\n", "3 00:06:35\n", "4 00:03:57\n", "Name: bpm, dtype: object" ] }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "z2 is exactly the heart rate zone data, as we wanted. Now we want to set up two more python arrays that we will use as the y-axis labels, shown here. This data is already available in our z2 series, so we can extract them as necessary." ], "metadata": { "id": "J3yqY-_zbHNE" } }, { "cell_type": "code", "source": [ "zones = ['1','2','3','4','5']\n", "times = [e for e in z1['bpm']][::-1]\n", "time_labels = [e for e in z2['bpm']]" ], "metadata": { "id": "FDnEkmZmNTuX" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "The zones array will be the left side y-axis label, and the times will be the actual data. We can place these in a pandas dataframe so it will be easier to plot using the python matplotlib library." ], "metadata": { "id": "oy4glSixQzZo" } }, { "cell_type": "code", "source": [ "import pandas as pd\n", "\n", "d = {\"zones\":zones, \"times\": times}\n", "df1 = pd.DataFrame(data=d)\n", "df1.set_index('zones', inplace=True)" ], "metadata": { "id": "RSzx9FzvQ5Xa" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "And now we can finally plot the data. We will be using the [horizontal bar plot](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.barh.html) from matplotlib, barh. Since we already have the data we need, we can use barh to directly plot the necessary bars, after which we can apply our desired styling to make the graph look like the one pictured." ], "metadata": { "id": "fMODQ5pbRejn" } }, { "cell_type": "code", "source": [ "from matplotlib import pyplot as plt, patches\n", "import seaborn as sns\n", "\n", "sns.set_theme(style=\"dark\")\n", "fig1, ax = plt.subplots(figsize=(16,6))\n", "clrs = [\"#c0c8c8\", \"#46c7ee\", \"#6acc2b\", \"#f9bf1c\", \"#de0f5b\"][::-1] #colors array for the zones\n", "\n", "#plot the base graph\n", "plt. margins(y=0)\n", "plt.xlim(0, sum(i for i in df1[\"times\"])) #this sets the graph to have its width equal to the total session time\n", "bar1 = ax.barh(df1.index[::-1], df1[\"times\"][::-1], align=\"center\", height=1., color = clrs[::-1]) #plot the bar graph\n", "plt.xticks(color='w') #hide the x tick labels\n", "plt.yticks(color='w')\n", "ax.tick_params(axis='both', labelsize=25, pad=12.5)\n", "\n", "# Adding the times for each zone\n", "for i in range(len(time_labels)):\n", " plt.text(.97,0.15 + 0.15*i,time_labels[i],fontsize=18,transform=fig1.transFigure,\n", " horizontalalignment='center', weight=300)\n", "\n", "#add colored backgrounds behind each zone\n", "rect = patches.Rectangle((0, 0.805), 0.5, 0.194, color='#de0f5b')\n", "rect2 = patches.Rectangle((0, 0.602), 0.5, 0.198, color='#f9bf1c')\n", "rect3 = patches.Rectangle((0, 0.402), 0.5, 0.194, color='#6acc2b')\n", "rect4 = patches.Rectangle((0, 0.202), 0.5, 0.194, color='#46c7ee')\n", "rect5 = patches.Rectangle((0, 0.0), 0.5, 0.195, color='#c0c8c8')\n", "\n", "lax = fig1.add_axes([0.08,0.126,1.,0.752], anchor='NE', zorder=-1)\n", "lax.add_patch(rect)\n", "lax.add_patch(rect2)\n", "lax.add_patch(rect3)\n", "lax.add_patch(rect4)\n", "lax.add_patch(rect5)\n", "lax.axis('off')\n", "\n", "#add gray rectangles behind times \n", "b1 = patches.Rectangle((0, 0.805), 0.5, 0.194, color='#eaeaf2')\n", "b2 = patches.Rectangle((0, 0.602), 0.5, 0.194, color='#eaeaf2')\n", "b3 = patches.Rectangle((0, 0.402), 0.5, 0.194, color='#eaeaf2')\n", "b4 = patches.Rectangle((0, 0.202), 0.5, 0.194, color='#eaeaf2')\n", "b5 = patches.Rectangle((0, 0.0), 0.5, 0.194, color='#eaeaf2')\n", "rax = fig1.add_axes([.8,0.126,.42,0.752], anchor='NE', zorder=-1)\n", "rax.add_patch(b1)\n", "rax.add_patch(b2)\n", "rax.add_patch(b3)\n", "rax.add_patch(b4)\n", "rax.add_patch(b5)\n", "rax.axis('off')\n", "\n", "#set grid lines separating bars\n", "ax.set_yticks([0.5,1.5,2.5,3.5,4.5], minor=True)\n", "ax.yaxis.grid(True, which='minor')" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 315 }, "id": "ln4Hmt2eMaHH", "outputId": "bad029da-3015-48c0-f957-5158373ecb72" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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}, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "This plot is important because it gives us a quick way to understand the general distribution of activity levels throughout a participant's exercise session, and can display how vigorous the exercise session was." ], "metadata": { "id": "5W8UarpyyawJ" } }, { "cell_type": "markdown", "source": [ "## 4.2 Visualizing Heart Rate Averages per Session over a month" ], "metadata": { "id": "aMJC9uHCaINg" } }, { "cell_type": "markdown", "source": [ "Another graph that polar displays is a bar chart showing the duration of exercise sessions throughout the past thirty days along with a plot of the average heart rates per session." ], "metadata": { "id": "JsZvdweM6qDS" } }, { "cell_type": "markdown", "source": [ "\n", "" ], "metadata": { "id": "Lho0NmMPFfCN" } }, { "cell_type": "markdown", "source": [ "To start we want to extract the necessary data. This will include: \n", "\n", "\n", "* Dates of exercises\n", "* Durations of each exercise\n", "* Average heart rates of each exercise\n", "\n" ], "metadata": { "id": "RBGD5tOUg7zt" } }, { "cell_type": "code", "source": [ "import pandas as pd\n", "import numpy as np\n", "\n", "durations = []\n", "avg_rates = []\n", "dates = []\n", "day_array = list(df2['day'])\n", "rate_array = list(df2['avg_rate'])\n", "duration_array = list(df2['minutes'])\n", "for i in range(len(df2['day'])):\n", " \n", " if datetime.strptime(day_array[i],'%Y-%M-%d') < (datetime.strptime(start_date,'%Y-%M-%d') + timedelta(days=30)) and datetime.strptime(day_array[i],'%Y-%M-%d') >= datetime.strptime(start_date,'%Y-%M-%d'):\n", " dates.append(np.datetime64(day_array[i]))\n", " durations.append(duration_array[i]*60000)\n", " avg_rates.append(rate_array[i])" ], "metadata": { "id": "5FtAHv14hDyF" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Now that we have everything we need, we can move on to plotting the graph! \n", "\n", "To do this we will start by plotting a [matplotlib bar graph](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.bar.html), which will represent the durations of each exercise. Then we will overlay this plot with a second graph, the [matplotlib line plot](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.plot.html). This is all we need for the base graph!\n", "\n", "All that remains after is to add the necessary styling to achieve the graph pictured above." ], "metadata": { "id": "1wXrNnH2hD52" } }, { "cell_type": "code", "source": [ "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import matplotlib.dates as mdates\n", "\n", "#set the style of the plot, initialize it\n", "sns.set_style(\"whitegrid\")\n", "fig, ax = plt.subplots(figsize=(18,8))\n", "ax.set_facecolor('#f2f2f2')\n", "\n", "#before we begin, we need to add in a buffer at either end of the data so we can extend the graph\n", "rbound = np.datetime64((pd.Timestamp(dates[len(dates)-1]) + pd.DateOffset(days=1)).strftime('%Y-%m-%d'))\n", "lbound = np.datetime64((pd.Timestamp(dates[0]) - pd.DateOffset(days=1)).strftime('%Y-%m-%d'))\n", "xdates = list(pd.date_range(start=lbound, end=rbound))\n", "xdates.append(xdates[len(xdates)-1])\n", "\n", "#process and fill our data arrays so that they match dimensions of x axis\n", "points = {np.datetime64(datetime.strftime(pd.to_datetime(date), '%Y-%m-%d')):(avg_rate,duration) for date, avg_rate, duration in zip(dates,avg_rates,durations)}\n", "data1 = []\n", "data2 = {}\n", "for i in range(len(xdates)):\n", " cdate = np.datetime64(datetime.strftime(xdates[i],'%Y-%m-%d'))\n", " if i == 0:\n", " added = points[np.datetime64(datetime.strftime(xdates[1],'%Y-%m-%d'))][0]\n", " if cdate in points:\n", " added = points[cdate][0]\n", " data1.append(added)\n", " data2[cdate] = points[cdate][1]/3600000\n", " else:\n", " data1.append(added)\n", " data2[cdate] = 0\n", "plt.xticks(rotation=45)\n", "ax2 = ax.twinx()\n", "\n", "#plot the bar graph\n", "ax.bar(data2.keys(),data2.values(), color ='#e71735', width=0.20)\n", "ax.set_yticks(np.arange(0, max(data2.values())+0.5, 0.5))\n", "\n", "#plot the average heart rate\n", "plt.plot(xdates, data1, color='#e71735', linestyle='dashed')\n", "ax.xaxis.set_major_formatter(mdates.DateFormatter('%m-%d'))\n", "\n", "#clip the graph ends to get our desired look \n", "axis = plt.axis()\n", "plt.xlim(xdates[0], xdates[len(xdates)-2])\n", "ax2.yaxis.grid(False)\n", "\n", "#hide ticks\n", "ax2.tick_params(axis='y', length=0) \n", "ax.tick_params(axis='y', length=0) \n", "\n", "print(points)" ], "metadata": { "id": "O8hVSOdCdnMn", "colab": { "base_uri": "https://localhost:8080/", "height": 531 }, "outputId": "3aadf707-1aaa-4775-85dc-9483d7da59dd" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "{numpy.datetime64('2022-03-11'): (148.60438074901958, 2880000), numpy.datetime64('2022-03-14'): (125.03413026104663, 2760000), numpy.datetime64('2022-03-27'): (90.8876123319256, 2700000), numpy.datetime64('2022-03-17'): (109.82817716867521, 2700000), numpy.datetime64('2022-05-15'): (134.32337357988095, 3000000), numpy.datetime64('2022-03-16'): (101.67126572452109, 3000000), numpy.datetime64('2022-03-28'): (89.30156282473392, 2880000), 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "This plot is important because it shows us whether the participant wore the monitor and how long they wore the monitor each day. Additionally, their average heart rate throughout the session can be a basic indicator of the intensity of their exercises." ], "metadata": { "id": "PDxTkANicRAB" } }, { "cell_type": "markdown", "source": [ "## 4.3 Continuous Heart Rate Graph" ], "metadata": { "id": "LoVTLHJyHPgx" } }, { "cell_type": "markdown", "source": [ "One final visualization that Polar offers is a graph of the continuous heart rate data per session of exercise, shown below." ], "metadata": { "id": "GaosKE5p7Wjn" } }, { "cell_type": "markdown", "source": [ "\n", "" ], "metadata": { "id": "15aeF03j3N61" } }, { "cell_type": "markdown", "source": [ "In this plot the line plot represents the heart rate (bpm) at every second of the exercise session, and the colored regions indicate the \"zone\" in which the heart rate (bpm) lies. We will need:\n", "\n", "\n", "* Continuous heart rate data\n" ], "metadata": { "id": "hNntOOC0gqq3" } }, { "cell_type": "code", "source": [ "import pandas as pd\n", "\n", "heart_rts = list(hr_df[\"bpm\"]) \n", "#we must add in '2000-01-10' as a dummy date to help with formatting concerns\n", "times = list(hr_df[\"time\"]) " ], "metadata": { "id": "zH1L-IvOHlZK" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "We will now graph this using the matplotlib [line plot](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.plot.html) function, which will give us the base graph, after which we can focus on aesthetics." ], "metadata": { "id": "zFHHY6vOIYBG" } }, { "cell_type": "code", "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns\n", "\n", "sns.set_style(\"whitegrid\")\n", "fig, ax = plt.subplots(figsize=(18,6))\n", "ax.set_facecolor('#f2f2f2')\n", "\n", "ax = plt.gca()\n", "plt.plot(times, heart_rts, color='#e71735')\n", "\n", "#set x axis values\n", "xts = np.arange(min(times), max(times), timedelta(minutes=10))\n", "ax.set_xticks(xts)\n", "ax.xaxis.set_major_formatter(mdates.DateFormatter('%H:%M:%S'))\n", "\n", "#set left y axis\n", "yts = np.arange(100, 220, 20)\n", "ax.set_yticks(yts)\n", "\n", "#ax.set_yscale('function', functions=(forward,inverse))\n", "ax.axhspan(100, 120, facecolor='#e3e5e5', alpha=0.5)\n", "ax.axhspan(120, 140, facecolor='#bee5f1', alpha=0.5)\n", "ax.axhspan(140, 160, facecolor='#c9e7b6', alpha=0.5)\n", "ax.axhspan(160, 180, facecolor='#f4e3b1', alpha=0.5)\n", "ax.axhspan(180, 200, facecolor='#ecaec4', alpha=0.5)\n", "\n", "#right side y axis\n", "f = lambda x: (x/200)*100\n", "i = lambda x: (x/100)*200\n", "ax2 = ax.secondary_yaxis(\"right\", functions=(f,i))\n", "yticks = ax2.yaxis.get_major_ticks()\n", "yticks[1].set_visible(False)\n", "ax.tick_params(axis='y', colors='red') \n", "ax2.tick_params(axis='y', colors='red', length=0) \n", "\n", "#cut off the edges\n", "plt.xlim(times[0], times[len(times)-1])" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 380 }, "id": "N2-eIqrsIXP2", "outputId": "74ccee24-0515-49a6-ff87-b0b05b2cb1fa" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "(738449.0, 738449.0401388889)" ] }, "metadata": {}, "execution_count": 30 }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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gYxMZTbyNbXhL1hA6+bBiD0VyTEEMERERKRvuK8uw67bg7N+Et3ID7tJ3iz2kkmdbd+C++DbRy39Z7KGUBXfh8l6/e4tX916fysIA8N7S/imSL+7rqwAIHXNAkUciuaYghoiISBnxtmwn+r0bSf59YbGHUnDuO+uIX3MbVEao/N6nAIj9+I9Ya4s8stJirSX2P3cQ/c5viH7nN8S+d2N6BdHv34ztihK/4W+Z9YnbnyzqeIPExhPEfvIncAxjn/hvABJ3PZtZ723aRuKPj+McOBMzeyrJv79K/Na/F2u4ImUteefTAIRPPrTII5FcCxd7ACIiIpI77uOvk7zrGdyX3yG84KhiD6egknc/B0D47OMxkydATRV2dQu2ZStmWl2RR1c67MatJH73N8ykcVA9pmdFZYTkn58kPH8u8Z/f6bck9DySz75J5LyTizfgAPEWr4buOM7cWf7rC3grmzPrk4+9BkDohIMxlRXEb3mE+M/uIPKJ92OMKcqYRcqVt2ojVIQxY8cMfmcJFGViiIiIlBGveQsAdv2Wsmzh6K3agPPQQpIvv43d0dl7XXMrzj7TGfNvn8Y4DmN+ejEAyfteKMZQS5b78tsAVP74IqofuJrqB66mZvFvGfvA1UCqToNnqfzmeVR8/kzYvpPE7U/gtWwt5rADIV3Ic8zVX8AYQ+RzH8Cu24LtjALgPr4IKsJUXH4uFZecTcVl50AsgV21sZjDFik7Np7Abt5O5PNnFHsokgcKYoiIiJQRu0s3BPeJ1we4ZzBFv/NbIlffTvRz/0X0a7/qtc42t2Ia6zO/O/s1AhD/1T2aUrKL5N/9bABnn2m9lpv6WqgIk7z/RX/9/jNwDpwJQOwHtxD/1T2FHWgA2eZWMAYz3c/8cWb7r3Hy/hfBWtyX3oaqykzWRejAGQAk7n2+OAMWKVN241awFmeX7wQpHwpiiIiIlCDbFcO2d/X8Ho3jrWnBW7d5wBNy9511OIfvA4C3dnPex1lINuniLV2b+d19e13POmvx3lnX64DVaZhAxaUfhqSrLiW78FY24xw1B6dhQq/lxnEw0/3XzzQ1EDpgJuETDqb6qZ/hHLo37sJlCgYNwn1tBaZhAqYiAvhTmwDct9di3loLrkfFFz+YuX/oiP0wk8ZhleUiklPemhYAnEa1Vi1HCmKIiIiUoO5PX0Pngm9mThqjX/sVXWf/C11nXknyT0/0+Rhv1Qbsmk04M6dgJo3LpLaXi/j/3NHrd1M7NnPbffRVf9n03rUvnLmzAEjcouKJAO6KZr97y8zJfa53Zk3xf+7flFlmJo7D2Xsadu1mkn9+qiDjDKLks0twn38LM3ViZpkJOZi9p5H885NUXOZnDjn7Tu/1OGef6WX3XhUptvjvHwLA9PNZJ8Gmwp4iIiIlJp1VAGDb2jH14/GWrSd0zAG4S9/FXbaeSB+Pc5f5BQTDHzoeb/XGXlNLykH6NUkz46p61q3YAEDkIyf2uk/o+IMAsJu25Xl0weAtWw9AJJUhsLvKKz+B+4FjCB21X6/lFZefS/Kvz+JtKK99KpfS+2flv17Ya/mYn16M9856du7sYFxDHaHjDuq13jTW4z27BBHJofZOTFMDzuQJg99XAkeZGCIiIiXGff6tzO3oV66l8/1XYDdvJ3T0/jgzp5D885PEb3tsj8cl/uBfeQrNnY0zva7sru56za2EPzCvZ0FFpNc60zAeM76m12NMOIRz5H4k730eGyu/QqfDlQ5sOQfv1ed6Z1odkQ8eizN1Uu/l9eP9aQ+7THGS3rzmVhhfTeiAmb2Wh/ZtJPLBY/EWHEH4fUdgQr0Pv53GeuyWHdhovJDDFSlb1lr/+0KtVcuWghgiIiIlxnt9Zc/tJWuwHd1E/uEUwmcfR8WlHwLAfXLPop12yw7/RL56DKaxHruhDet6BRt3PlnXw27cimmsJ/7by8Ex2M3be9bvVtRzV6GDZwE9c6RHM6+5FTNpXHYtB2vHQnvn4PcbpWxza1ZFBNP7rd3QlushiYxO23dCV6zf7wQJPgUxRERESoy3vhUzeSLOUXMAfw595b98EqepgfB7DiV06lG4b6wm+s1fE/23G7Gd0Uw7ufBH3+M/prHBL2i5ZftATxUYdvM2SLr+Vet9pxO56Czspm3YRBJItVft54A1fIafvZF84MWCjbdU2fX9B3sGY8aNxXZ053hE5cF2x3CffTOr19Zp8h9TbplTIsWSfDTVgUlBjLKlIIaIiEiJ8ZpbMU31RM6Yh5k1tfcUCiB86lGY+lrcxatJ3vmM3zVit3ZyJnViZNeXx4lR+u9InyQ6jfVgLXZjGzaRxLZsxfRThd7Z12+1umtnk9HKtrVjGrKbI27qassmKJZr7msrgD2Ldg5Fer/11m/J6ZhERiv3teUAOIfuXeSRSL6osKeIiEgJsYkk3sJlhM8+nsg/nELkH07Z4z6RM44hcsYxeK076DrlGyTvfxGSLtBz5Sn9M/n0G4SOnlO4PyBP0lep01et03+f+8LbfvFOz2bW7c5UVRI+7WiSD7+C17oDp358YQZdgmxXFKcmi6kkgDO9jsRLb2OtxRiT45EFm/v0YgAi58wf9mNNfS1UhMuuEK9IsXjrW3GO3G9Uf9aXO2ViiIiIlJB0UU+zW2HFvpi6WsyUiSQfeJHkw68AfrtG6Gk16j73Zp5GWljp7iLp1yX9dyafWJQJcAyUyp9ptfr7B/M4ytJnd3ZnVw+D1OvbFfPnm0svmfdtFp0QjONgpk7CtmzN9bBERqVs69NIcCiIISIiUkK8dZsBiHzy/YPe1xjD2Pt/hHOg3w2h4hsfx0wa56+LhP1Wqy3l0VrUtndCVSUm1ZHETBpH6LgDsZu24S3324YOdNAa+cfTMVMn4a0dvSn71lo/CFGdZSZGetqDMgYAsNt3+vVoEkm8lRsIf/QkTDiU1bbM+OqyrTfibdmOt2pj2RQZltKWrg+lop7lTdNJRERESohd3wpVFZlgxGBMZQTnoFl4S9dmghlpzuxpcM/z2M4oJssT11Jh27swtWN7LXP2nkZi8WoSNz8CgJkysd/HG2NwDpiBbR69QQziSUi6We8L6Tor3vpWQnNn53JkgWOtpXPBN3FmTsZJdb9x9mvKenumdix2R/l1fvHa2uk67duQdKm47MNUXHx2sYckZW73+lBSnhTEEBERKSHpLhvDqTlQ+fWPEV5wJKF5+/da3nPSuYXQ/jNyOs5Csx1dmHG9gximsR46o9jOKKFjDxz0KrjTWD+6azp0Rv2f1VVZPTx9UqDaDWBbd0Asgbe8GaoqoaqSyLnDr4eRZsaNxSuTIry7sqtbMvV6vOXNRR6NjAaZ+kkKYpQ1TScREREpIbZ5+C0wTe1YwvPnYpzeX+tlddLZ3gW7Z2I09XQjCZ00d9BNjPaaDrbTn65gqiuzerypqYLx1XgbymB/GqHYd36bue0tXk34zGMwVdm9rgDUjvWnTJWZ+K1/B8A0NZB8+BVsOpAmkieZTlb9FHqW8qAghoiISImw1mYyMXKhnGoY2I49p5OEjjuQyGdPJ3LhAsJnHDvoNtKvazm8HtlIn0COZGqR09RQHkGxEXKXvgtA+OMnE/mH9xK54H0j2p7TMAG27cRG47kYXsmwLVshHCJ81nEAeCs3FHlEUu685i0QDmEm9z+9UIJP00lERERKhLd4NXRGc1eQbGINVFWWxUmnbe/CmdO75oAZO4bKr398yNtIv66jtqZD+ip4lt1JwA8EucvW5WhAweS+9S50dFPxjY9T8Y+n52Sb6X3TbmjD7D0tJ9ssBV5zK+GPzCd82tEkrr+X2H/+ibG3fLfYw5Iyk3z+LZL3Pg+Au3AZZtokTEjX6suZghgiIiIlwn3Wb4caOuaAnGzPGIPTWF8WmQd91cQYrvT0k3II6mQjF5kYZvIE7LNLcjWkQHJfeQeA0KF752ybTlNPlpBTJkEM2xWFbTtxGutxZk0Bx+C9vrIsCg1LaYn94GbsOr9os2msJ3L2CUUekeSbQlQiIiIlIvnwK5jJEwkdMHPwOw+RaarPzBEOKut60NG9R02M4TLVY2BCTVkEdbLhLV0LpGpbZMnUVvvFVFPFGkelbn/Kh3NI7rJ5TGrqV/KJRTnbZrGlC5WaxnpMJEzljy8CIP67vxG/9VES9z7vt/0VGSG7ZUfmdtV1/0TFJeqCU+6UiSEiIlICbFcMb0UzZvbUnG7Xaawn8WLAO3LsTBWkHGEmBvivx2jNxHBfXwmAaZiQ/UZqUwGQnd0woSYHowoe2xWFSBgTyd1htKmvBcB96e2cbbPY7KZtADhTJwEQOmAGhEMkfnN/5j7O3tMIpVrUimTDWgue5/9SPQbTWFfcAUlBDJ6JccUVMHs2GANLdkkfjEbhkktgv/3gkEPgoot61i1bBscfD3Pm+D+XL8/D0EVERMqH9+4mACouOiun2zWN9dAdg23B7chh27sA9ijsmY1ymV6TlXgS56C9RvQ6pgNJtqMrV6MKnu44VFXkdJPGcYicfwq2ZVvZZCdk3rcTqgFwZk2l+tlfUP30/1B147cA8FJTAESy1t4J8SQVl59L9ZM/w1REij2i0e2+++CII+Dww+Gww+DOO/3lOY4PDB7EOOcceOop2Guv3su/9S0YM8Yf0OLF8IMf9Ky7+GK47DJ/3WWXwZe+NKJBioiIlLvELY8A5Hw+fE9HjuCeLKRPmHORiWEa67Ab2srmRHE4bFcUM3Fk2RNmvH9Cakdpm1pIvY4jaafaDzNrKkTj2Lb2nG+7GDItY3d535qxlZgJNTj7z/DvM1oDipIz6WlLzuypmEoFMIrKWvjUp+Dmm2HRIv/nZz7jZ8rkOD4weBBj/nyYMaP3sp074aab/MBFOjV1yhT/5+bN8OqrcMEF/u8XXOD/viW4B08iIiL5ZtvaYWwlzoG5q4cBu3TkCPDJQk8mRvWIt2Um1EAimalrMJrYzuiIOpMAmNTUALthay6GFEzdcRib+yBGurhn2ZzYD5BBZWqqYHx1oD+XpDSk3y856+olI+M4sCNVo2T7dpg2DVpbcx4fyK6w58qVUFcHV10FRx8N730vPPOMv27dOmhshFDI/z0UgunT/eUiIiLSJ6+5ldCJc3NetyLTkSPIxT3TUxfGZV+QMi0dCMlcJR5NOqMjKuoJ5ZHZM1J5y8Qog4DjrmxHF1RV9Fs7ZDTXp5HcSb9fHAUxis8YuP12+PCH/Vkc55zjJz7kIT6QXUUi14VVq/z5Lj/5Cbz4Ipx9NqxYkfVA+lQ5GXJYNEkkn+oay6Mlmowu2m9Lg/U8bHMbzoL5MCa3/ydmDDCmErvT5nzbhWK7/RRhM3k2jGkY0X5r6qb724xXB/b1yJbtjGFq60b0d5sxwMRavJbuUff6pdkYUFM77L9/sP3W2Xuiv/1NsbJ4bW23wYyr6fdvMTOb8N5eXRZ/azkr9eMEr6ULxtdgGvYp9lBGlVAoCWzovTCZhKuvhrvvhhNPhGefhfPO86eV5Fh2EYKZMyEc7kkJOfZYqK/357jMnAnNzX6gIxTyf27YsOeUlCFojbcSsgGtpC6jTltbG3V1qogswaL9tjSYTduoSiTpnDaWHfFNOd/+mNoqurdtycu2CyG8rYUKoHVMJ8S9Ee23ztgEY4Btbevw4iPP7AgMa6nq6qZrjDvi/aBy+iTctWtpD+j+NFKVXR1QN57Nw/z7B91vw1A1aRzRW+5h++ffO7JBloCKjm04YyP9vk6RaeOIPLiBLe8uxU6bVODRyVCV+nFC5dq1mMa6Yb8fZWQSsT7abC9a5J/3n3ii//uJJ0J1tV9HM0fxgbTsppPU18Mpp8AjfhEyli3za2Hsuy9MnuxXI73tNn/dbbf5GRsNDVkPUkREpJyZ9X5qvpevdNjaamjvzs+2C8C0d2JDzojrOQDYSX4rS7Nl+4i3FSjdcYxnsdUjD9zYpnrMKJ5OYrpi2Bx3J0nzpk3C2bwdYom8bL+QTGcUW93/e9Y7Yl8AnGcWF2pIUoZMazve5InFHoYANDXB+vXwzjv+70uXwqZNfjfTHMcHBg9ifPWrPQNasAAOPthffv318KMf+e1Vzz/fTxOZMKFn3bXX+i1Urr3W/11ERET6ZFJzem1TfoIYdlwVJsg1IHsgF1oAACAASURBVNq7/A4HOagXkn6NTZBrhGSjM+r/HOCkcqhsYwOmuc2vOD8adcdyElDrS/LCUwEwG8pg/+yMwtj+g2buew/HOobIHx4avfuSjFx7J+Sg/bbkwNSpcN118LGP+e1Vzz8fbrgBJk3KeXxg8Okkv/iF/293e+8NTzzR92MOOMCvkyEiIiKDSp9Q2+l5CmJMHIezdnNetl0Ipr0Lm6uD1Ooq7ISaTOBotDBdfhBjoCvjQ2WnTcIkkrC1A+rHj3h7QeNnYuS+sCeAbewJstnZpV2LYDBmZzfetAGmIYQc7OQJOKtbcF5flcnMEBkO05HD7wcZuU9+0v+3uxzHB7KbTiIiIiI5E1q8Cm/yBMhTj3s7vQ5nRbN/BTmATEcXdlzuDlK9xnqc9aNrOoTZvtO/kYsgxni/w4tJtdAcdbpieWmxCmBT3YRCL7+dl+0XVFd00P0t9uuvA2DWBTfIKkXkepiObmVijEIKYoiIiBRTd4zQU29AXW3ensLOmgpAxVU35e058qq9C1InzrlgG+sxG9tytr0gCN39HAB20rgRbyt91dN0jMIgRjyJSbr5y8Ro8DNbIr/7G2zZkZfnKBTTGcXWDBzEsDMm+/cdbdO7JDdSn0G2NnffDxIMCmKIiIgUUXpaQ/LMY/P2HMlzT8LWVmNWt+TtOfLJz8TIXScRO7EGsyPANUKyYLZ1YEMO3qF7j3xj6ROG0ZiJkc5mylMmBo5D/Nvn+zfXBPP9mtEZHbx2SGUEb/IEnFFcKFayl6knpe42o46CGCIiIkWUPgjzjtwvf09SGSF5+tGBPVEwOzpze6Vt3Fj/BNza3G2zRIX+/CRVx1xK6O8L8Y47CJyRH/qlp/aMtkAQgEkFMfKViQHgnnI4AJUX/4zQ7U/k7XnyKpHExBJDqsFip9cT/uuzZdGRRQrLSWXweI3qgjnaKIghIiJSRGZrBwA2zwUSbWM9ZtvOni4VQdKR6k6SI7a2GpN0oTues22WqtDzb0JFmOSnTiVx6Ydysk07xe9GZzZty8n2AqUrlYmRxyCGbWog/s3zoKqC0Atv5e158moY3XC8w/zsINXFkOFKt3rOV2cvKV0KYoiIiGQp8pM/UfFvN4KbfXvAdHHEXBau7Eu6YGDkp7dTcdkvqLz0f4j8+I+ln40QjWPiyZxWn09PTUm3nXWee5PKS39O6C9P5ew5SoVZ34p34F4kvnU+3uE56v6Q6fASzMyeEcn3dBIAY0j+4wfwDtyL0AtLqbz05zjPvZm/58uD4XTDcU+f5z9mlBXbDRRrifz4j0Suuqmk2uGa9a1+ll6evz+l9CiIISIiko32LiI3PkT4L09h1m7KejOmowtrDOSw5kNfvKP86SqRPz1B6JnFmGXNRG56GEp9SkC6eGQuq8+nsl5MqnBi+I6nCD35OpE/PJS75ygRTnMrXlPuU61tw3hMW3vOt1vqTCoTw+YziJGS/NAJeE31OC8uJXxHwAJs6YyVwWpi4HcLAn9flRK1o5PITQ8Tuf2JkirC6jRvURbGKKUghoiISBbCdz2TuR16Zkn2G2rvhJoxOalVMBA7eSLuwbMA8PZvIpEqHmhK/MQhXXchlzUx0idNpnkLoYdexlm8GgBn1UbMyg05e56i6+zGbN+Jbcz9Qb6tHoMJ4tSkkSpEJkaKe/bxxG7/N7wj9yP84MulnzW1q3R9i6G0ja6rxVZVlNTJ8XA4T79B+A8Pw7aOYg8lb3ZtSR0uoTotprkVb7qCGKORghgiIiJZiPzugczt0LPZBzHM1g7shJpcDGlQ3hH+dALvsH3xUlevnBI/cTAd3UBup9ukT+qdN9+l8uvX+dkK+zYCEPnFXTl7nmIzLX7NirxU7h87Jpj1VUaoEIU9d2cbUjVI3nq3YM85Uibq15uxYyqGcGeDnV4fzOlJ1lL5lf+l4j//SPiOp4s9mrzZNdgdvvGhkplSYlq2qTPJKKUghojkVzRe+unqIsPVFcO0tZP40lm4Jx/qX8nP8iqpaW7FFuhKUuI7F9D18nUkrvwENlXN3Vm8yl/Z0YV5e23JHJxmpOpW5HQ6SU0Vdnw14RsfBCD235cQvfsHuMcdGNgOLn1x3vWnOdnxuQ+S2ZoqzM7unG+35KVqPeSzsOfuEv94OgBOkApfDicTA78wY2jRyjwOKD9MyzZMIgkE7P9nmNJZMvGvfgRjLc5rK4o8IvwOON0x7Pgcdq6SwFAQQ0TyqvLz/8XYE75S7GGI5FT49scB8PZtxJs6CbN9J86SNVlty2luLdycXmP8NHhjoHYsNhIm/JcnAaj82q+o+ui/E3p8UWHGMkQmVRMjl4U9AezUSRjPDzx5+zX5P2dPK/npNUMWT1D5lWv92zl+7QC/60TXKMzE6EplGBRgOklaOnMoSNMthpWJgZ9tYtraA5VtAhC+9e+Z22Xz2dEH07wFO746Uxx4zKevga1FromTj3pJEhgKYohIXoUWpaL1cfV/l/JhmtsAcE87muTHT/aXrWge/oZSGR1eHmoWDIV72tGwMwqJJM5yf/xZ/R15ZHbkJ4gR++HnMrft3tP8n431freYMsgeMxvaMrdz/drBKK6JUYRMDKrHYCfWBOskeZiZGMmP+Z+jTol9/gzGbN4OQPK0owMVZBouZ30rXlM93rz9SXz+DH/ZmuwLWudCprNXDuslSXAoiCEi+dO6I3MzdM/zRRyISG45zVvw9p8B4RB2n1Qthf+7b9jbCd/9LNDT/rTQ3OMOxFhL1TGXYlLv18h19xZlLP1KX23LcQs9e+DMPZel/h8C1wmiD7ue8OYl3TpdEyNIxSZzwHTH/G5CQ8wwyBWvsaFXccWSl8rEGOrr5M3xs6Eqv/vbQNVaMc2tuPMOwM6cjLNuM+GbHyn2kPLCNG/xpyA6Dslz5qeWFTdok26RbfPc2UtKk4IYIpI36fnYAM7y9UUciUhumdRVKQAqwnh7T8t00RjWdlLZD+7Jh+VyeEPmvv9IEpd8iOSFp5L44gf9vyOR7DkBKQGmvdMvohgJ53jDhti1X6H73v/ILHJPnAuAs3pjbp+rCEyqU0LiE++HieNyvn1bPcafjtNdOvtKQXTFoKrCn5JVQLapvugnjcNhUpkYtnKIwZ7KCMnTjvYfu6YlX8PKOdPRhZ1QTfK89wLgvLC0uAPKB8/DNLdlpjX1TG8qblDNbEwVLp4ysajjkOJQEENE8mbXk7rwrY+WXsFAkWxYi9nQmimMCZD88In+/t45vEKHTvMWvIP2gpoiXUkaX03iy+eQ+MbHSfzTR0lcdBbQeypCsZmOrrxMhwBw33dEZioJAGMrcQ/bpyzSwtOp1okvnZWfJ0jvswG6ap4LpjvmZ6EUmG2s99+XQfkezWRiDG06CUDiog8CELnuHiI/vAVSBTNLWncMqiqxjfUkTzmc8BOLCJVBJteuKl9ZjkkkezIGKyPY+vFE/t+jRR1XupvNrt/FMnooiCEi+ZM6iPbmNGGszbT7Ewm0tnZMd7xXMc707eGe/Jrm1qLVw+iLnZxq5bjLVLCia+8qaOE22xisK979as9v0Ttb7Z/Im9FW3LM7XtD2qmm2qQGTSGZqMJS8WCqIMdRMDMDuMx2A8OOLiNz2WGl0wBiE6Y5l9gf37OMBiJTZlJIxr/ldY9zjDsws8xrrMVs7/MykIjGtO/zCsSrsOSopiCEieZPuKpD4on91xXnuzWIORyQnnNQJ7q7Bh0y70uGc/Hqe3161SPUw+pLOeEi/d0uBae/C5rgexkBsU73//5iajhFUpqPLP8CvGPqV8GFJBTFGWyYGXVF/OkmBpT9vghJgM9EE1jEQCQ39QRURkmcd17ON7TvzMLIc6477HZ8A9/R5JC5cgFm/hfBtj4EbkKyZQYRatuHNaMDOmppZlvzE+wFwFr5TrGHlNUtPSp+CGCKSN+miS95RcwAIPbO4mMMRyYn0POBdgw/etEn+uo1bh76hHZ2YeBI7tYTm86aDBe2l053DbO3ATqwp2PN5+88AIPy3lwr2nPlg2jvzeoCfCXgFPNgzXKY7hi3GdJLU502x6xAMWSzuZ2EMs3aId8R+mdtmQ4kHbDzPbyW7S1DLO3xfiCao+OEtOItKP5NkKMIbt2bqYKR5B+8FQOixIrbkbu8CdSYZtRTEEBmppIuzeDUVS9Zg3lxTNpH3nGjvwtZUYadMxD3uQJw3VhV7RMFiLWb5erWnLTHp/dhO3+WgLn0gNYwMhkx7uPGFO0EfTLpVnbN2c5FHktLZjbOiufdrnWfu6fOw4VBJ1QXJSnt3Xg/w0/8nQckMyJmuWObKeyHZaZOwxgTn9Y4mhlUPIy15/il0vfZr7Liq0q9Nk5pKsev0IveMY4j+9fsAhJ5/qyjDyinPo/KttXvUnbCzp+HtPwNnY/E+J027MjFGMwUxREYofMdTjDn/B0y59JdUnfd9Qg8G++pdLu2aBm4nT8DZtM0/KZchcV5fSdU53yPy338p9lBkF+E7n/YPWnc9kakIY6sqMtlHQ5EufFtSB2E1/hXm0L0vFHkgvoqrbgboXXwz34zBzpwcnCve/TDtnXltPWinTMSGQ8ObQlUG/EyMwgcxqIhgp0zAWReM/dLE4kPvTLK7igi2qaHk963Qo6/6N3ZrI2tnTgb8AqWZ2jQB5TztZ9B6Uyftsc6bMbmoQTWzfWd+2kdLICiIITJCZuUG7NhKtvzk81jH4KzcUOwhlY6OnoJ8yY+/F0CvzzCYFf5rVS4pqWUhlsB0xXDPmLfHKjtu7PBqSaQPbgtY72FQjoM7fy6mROocmDUt2LpakufML+jz2sb6kj+BGozpyHOqdcjBTqsLTmZArqS6URSDbWwIzusdyy4TI81rbCj5QKLZ6Xejchcc2XtFRYT45ecC4KzdtPvDAiV9zJY87+Q91mXa/lpb6GGluoS1YafVFf65pSQoiCEjYt56l6pjLqVq3iWj9kTLWe8X5oseewB28kQiv76v2EMqGaajK3Ml0Nu/CYDI/92P88Qiqo780rBS70cjJ9U+zCTcIo9E0tJztN15B+y5srYadgwjE6O9BDMxAPeYAzHtnUUtxOs8/yZVR19M6M01JBccCRXhgj6/11iP89a7VH72Pwv6vDlVgKJ3tql+SCeaZvVGqo7/MlWHfZHIz4KdWWa6YkXpTgLpzjmlfWKfEY0PqzPJ7mxjHc6qjaWdvZmeTtJHINo9+TAAwjcFu1NJ5Ff34I2thPrxe6yzjfWYWAKK0c1qRydmZ/cetTpk9FAQQ0Yk9PpKTGcU0xXDWbSy2MMpCtPcipcquOXNne0v1Mk54B/sZSrYV1fhNdXDjp1UXPtXTCyBs0JZGQNJzwc2RZxzKr2l/0/6OnCykycMq42wafGLgNopJVTYE3BPPxoAZ8nqoo0h9OpyiCZIXPRBkp8+reDPb+tq/XG89HbBnztXCjFffKgZK87i1X4NmPHVOC8szeuY8q67ODUxIBU02rQ9EHWSTCzhd8fJUjoIUMq1tEx3DGvMHtNJAOwc/8KN2Rzg1vKJJKY7RvyAGX2uTh/7OkWoXZLOSNq11bmMLgpiSNacxaup+OEt2HAIO7aSip/8afSdvFuLad6SOaFxzzwWgNBDrxRzVKUj2ntOrPuhE3BatuG8vRYI+Jd7AaS/pM2OTkilrUpxhf/yFECfbVG9Yc7hDt/6qH+SWUrTSfD/NjtpHBU/vxOK1OIwfOuj2CkTSFz+0V5t/QqmxLJjhs3zoKM77/uW19SA2doxaJvVdPDPPXFuJsMskDwP0x0v2nQSr7EBY+3wuiAVSzQOlSOYTnLUHGzIIfKbBwjd+XQOB5ZD3XE/gNFXBxZjSH7o+NIvTjqA0JOvA9B12pF9rreZtr+Ff0+nAydeY+m0KJfCUhBDshZ66GUAkp86FffEucAonLvf1o7pjmciwe7RqVaiJXzloKCi8V5XKHZPwQ/yl3shOOu3YGv86TilPjd4tHDWtABgG/ZMraW+FrN9p38COZhEEqdla8nO53Xn+5/poYXLCv/kSdcP3E0cV/jnTqvY5eQriB2ndkYx1ma6zeRL5iRmkFaYTvMWvIbxeHtPw2zbOWjQo2R1xwGKU9iTnqvOgfg+iMX7zFAYsnCI5Cfej2nvJHLbY7kbVy4NkpVjGxswm7ZCIlnAQeWOs3A5ANEj9+1zfeb9X5RMjHSrc2VijFYKYsiwOQuXEb7+XkLPLsGbPZXEFeeRuPITAIQfWVjk0RVW+qprpvVUXS3uoXsHZ85qnu2eTurN27/X+sjvHghEWmy+mRXN/nvqvud7FnbHMG3tuMcdCEDk5mDPqy0LO/12n4lPnwbOnl+fmXnyqROdgaSnkiQuXJDTIeZK/NsXABD+zf2FL9qWyjpKnnNiYZ93Vx27ZD4FMMMwXWDW1uavOwn0nECEnnh9gDtZQve/6Gf4pDKYQi8GdEpJqgZCMQt7AoQCcKxlognsCDIxABLfuYDkGcdg1rQQvvXRoQWIC8h0x7BV/QdqvMZ6jGeJ/PxOwtffS/i3D8C2jgKOcGRM8xa8fabjTu1nyuOYCmz9+KJkV5n1rX6QtsQyGaVwFMSQYav44S1UXHsXzrL1eEf6mQc2VfDHeXV5MYdWcOmrId6MnnQ2v/CWMgwA/yrFrgcxxuCecDA2EsZOrMHs6MQphz7qIxS57h4qrr2Lym//JlMYMr0PpbOcwn99VgGfIkufOHj7TO/7DpkgRmzQbZlN/lQq20fbupIwvhobDhFavBrzbmGr65tU15a+iuUVivueQzK3TVt70caRrcyYJ+Q3m8Xb238vDFQ7xKzaiEkksXXj8Q7ay7//kwMEPUqYSb23i5aJMXkCAKHXApD1GhvZdJI074j9oDtOxY9uLWqdnj5F4zCm/33BO2Q2tjJC5PcPUnHtXVT87C+E7362gAMcGb9w/cCZDl5TfVEyMZzmLcrCGOUUxJDhsRazbjOJCxfQ9fpviF/1GX+545D41Kn+PM1itFoqkkxhoek9H6S2qcF/HYKYgpxL1vot1na7ShH7v6/TvfB6uv/6A8CfMjHahV5+p+f2k69jlr5L6Bm/N7ud00TsPz4P+CcDUjyh1/wgrfvhE/pcn87EMEMJYqRP1Eu1x70xxG74JgChAhdiNFu2+zfyPBViIHa/JqI3f9cfzyBTJUpR+rvJy3fl/poqkqcdjfPacv8z3/NwFq/uqaVibc/U0899ALvXFNyD98IJwkl4X7qLm4lByCHxyfdjNrTiLFzm/3vpbZyFyzBvrimp4y8TTYyoO0mae9ZxRO+8yt/mutI6XjDxJLay/85Jdt9Gul++jq7Xf0PX67/B1o7FeaUIU/SyYa1fuH6QmhPFavvrj01BjNGssD3LJPi2dvg1IGY0QDjUa5Wd0YCJxqGtvc9WTOXItGzFTqjx50R2+wdtXmM9JuliNm3tFdwYdRIuxvV6FfYE/AJYIQN1tdiqilFfF8O8s86fNnLIbEKLV1P53d9m1tmQg7fXFJyQ/16L3PYY8av+sUgjldDdz/npq5F+vjqHMZ2EVBCjlAtIeqmCmhU/uJnkx0+GUGGue6SvVHqpq87Fkr7K56xvJWgh6XSWYCHaD9rJEzDdcZxXl2O2dVB5+S9x5x1A7MZv4by4lIpf3g2AN3Oy/4C68ThPvYHZ0IadXpo1Yfpj0i01ixXEAOw+0zFdMcZ8+po91kVv+CbesQcWYVR9iMWxY0aeiQE9hZRLLss1noDIIH/jLp+bduI4wo8vIp509ziGLjlDbGFqG+sxD74EhfybPA/T3IpNdbCR0UmZGDIs6Xlvto/IbDoiOpzq/EFndkax43rPOe4pvDV6Xoc+xVIncv0V9jIGOz1APe/zxFnpt5lNfPcTdN/+vczy+D9/kuhf/h0mjsObO8sv8NkavLT2srGzG5N0SZ51XL93sWP9fX1omRj+tKFiTpkYVF0tiU++H+iZ/lIQWzuw1WOwqakHxWLrx2MrwqV34jQEprkVO7Gmp8V1HiX/4RT/OVdtzGSLOav8zzVnpf979LffyBRqTX78ZP/+qwOYWZZ+bxdpOglA8iMnEf3Dt4n+7orMsvi/fgro+T4pCTnKxABgbCW2rrYorTwHFEsMa8pMMpXFl66JVMqG2sLUa6rHuF5B/ybTusPPglEmxqimIIYMS/rE3OvjQy0TKR9N0wO6Y3uklaYDPKP95Jxoqn7DANXJbWM94Udfy9SBGI0yad/7NmIPnoVNnXQkTz0602ceY3Dn7R/s1oQBV/n16wDwUh2I+pT+LOgapPNCZ5SKH//Rv12T38KLI+W+93CgsFdAneZWv5NRX20LC8lx/KuMAfxOc4aQBp4rdq8p2EiYyn//g9+WF78mR9Xcz1Pxo1uxVRV4xx2Uub93wMzMGIPGpN7bxaqJAUBFGO/o/fGOOwgvVXAxee5J2JBDxX/cCltLINiddDGJJOQoEwNSWa6l9h0YT0LF0JPavSP2AyD8/x7N14hyZqgtTO0MP8Oq6vRvU3XI5wnf8Le8jy38pyeA3vXoZPTRdBIZlr5qQKSllwXxqlW2/MrUuwUxpk3COgZnfStukcZVCkw0lXY7wFUKd97+hJ56A2flBrwj9yvU0EqKs34LdtK4zBXT2K+/jlm5AXZr4Wkb6zEvLPXnPBf75G4UMiuasZUR3JMO7fc+tsGf/mBaBs5aMKk2rckzjy35lOKeFnpbYLfuQnmzfSccMrswzzUI21gfzJPt9VsyRTTzLuQQv+YLOMubAbBTJkLrDkyqLpR3wMxen1l2ykRsOBTI4FBmqtjY/Ge4DEXs5itx3lkHFWGS559C5NZHcZY14x1XW9Rxmc3+Z6DXkLspYbaxvuQKe5pEEm9YQQy/VWkQjpN7tTCNd/d7P+/I/YhfcR5mZzehu54h9Mo7JD93Rn7Htnaz/9ylMnVKikJBDBmWAVNUSzXdL5+6Y3sUriQSxk6ZFIgvqbyKpTIxBmg/5r73cPjpn6n4wc3Ev/4xvAFOEMvV7sWpvCP2hSP27Mlumxr8aQrbOmBScQ9QgyR01zPgebgffU/2G4knMJu3k7j0QwOmkdtpdVhj/EyCATZX8f2bAUh87gPZj6lAhvo35ZJp7/Jrj5QAr7GB8BuldeI0GLNuM87azbinHlWw53Q/cAzuUHfnkIOdVhfI78h0JsZA32uFZKfX4abqiiQ/dSqRWx8l/JcniR9X3JO7dNZuOkM3F2xTA87fXqLywh8R+/XXoLoEsthiCagYRrZJJIx70iGBOE7u1cK0rf8gBuEQyc/6b36zopnQ829RceXviP/ws322Is9sf0MbFd+/CTxL/F8uJPTQy4SefTOz3k6sIX7NFzPTdUJ/eYrwfS9gq8fgrN2Ee8wBw3vtpexoOokMi9nWkWmn2peSTPfLI9O1ZyYGpE44g3iVKYdM+orVAHNi7czJJM88FrNuM+F7ni/QyEqLWd86pAO99BXxIBz8lJLKf7mByu/dOKJtmA1tGGsHn39bEcZOmTjwZ2B3jNCS1X6b4f5atZaSofxNuRRPYKLxPWoNFYttqvfrl3R0FXsoQxZ6zj8RcI8aYOpTkdkitWUcsUyL1dLIxNhVOhvWSWV6FVMmazeHNQvco/1MsNBrKwjf+0LOtjsi8eSwT6S9poZAHCdn08LU/fCJ2CkTCd/9rN+lb6DtP/8moacXE3p2CaFnFhO5+RHMuy1gPcyOnYQffsXPMkqJ/OlxnMWrCD+xCGfVRrVXFQUx+tTZTfg39+O8urzYIyk5/Z20p9nG+kBeXclad7zPVmu2aZS9Dn1JFfa0A12xCoeI/+RLeIfuQ/iBF3EWBbTtXrZcD7OxbUgHel6pVmcvZZ27XD3aOcCVpEGEnnwDGNpVxQFPzqwl8rO/APhXqQJyFck21RO674XCtG/cke7aUhqZGJkaRwE64Q498KLf2Wj+IcUeSr9sYz1OAFvX0pUKzhexO0m/Qg6JfzgFZ+la6BykLk+ehf/2EuBncuWKd0JPXRXntdI4PjfxBHYY00kg9R3R0d3ToapEZdPC1H3fEcSv/AQAkR/f5ncs6Wvbm7ZR8d/+d6ENhwg98CKmrZ3kBe8j9ofvEPvxRQCEb3qYyC//SuSXf8WsacGdPzezjULV/JHSpSBGH0KPLaLif+6g4srfDn7n0aaPQpa7sk0NfvTVDVpDuuyYfl4Pr7EeZ/P2nikVo9EQMjHS3NRc+8hPbs/niEqO2bQNk3SHdKDQqzaBDEnosUU9tx9ZmPV2nFeXAeANIXPCNjb0G2gyq1uI3OoXdPMOnpX1eArNNkzAeBaTqnmQTyZVlNBOrMn7cw1Fuoh1YIrqWovzxip/2lOBWuJmw2tqwGztKPrJ9nCZrqh/0lqir206uyv0xKJB7plfztJ3/RvDPMEfeKOOP4UAcN56N3fbHYn48LqTQECKv6dbmGYxHcibMwOA8KOv9XthKnz7E5jtO3Hn7Y937IGEXluBDYfwDtsH8LN0vSkTCf/tJSK/uofIr+6BaBz31KPxZk3BOgbv8D2n3croMrRP4SuugNmz/cJMS5bsuf6qq/Zc98ILcNhhMGcOnHYabN6coyHnWVs7oZeWAmC27MB55R2IJXDeWIXz4tLMP/PupiIPtDhMd3zATAyvsR6TdDGbSr99VE50x/rMNMh0agnilaYcMelMjAG6k6QlL/kQyXPn46zd1PM+S733yllPC7MhHChUj8FOrCH0yjt5HlX52PW1GklxRtPRjXvEvjBh8BNrr6kes3m7f3C7+3ZSAajoLVdiZ0/LejyFlvzM6YBfhDbfnAGKRxdDOngYuvcFP3W8xJnN2zHxJInLzin2UAaUmR63Mv+BsZzqjpVMUc++JM+dD0DosdeG9gDPw3l9Jc6LS0eUrbaHziiJz+a+5k/s998iceECzMa2wmSGDSaehMjwAjWZwGgpZ3e1tWffwrSulu4HrgYg/OcnM8d0u3ahc15+B296HbEbv03s/75OPOBJKwAAIABJREFU15s30P36b3oKdY6pIPrYT+l684bMv+7Fv8M96zii919N9+Lf4RW57ov0Y80aOPzwnn+zZsGkSf66Zcvg+OP92MDxx8PykWVUDe2dd845cPnlcNJJe6579VU/YLHXLlWwPQ8uvBBuvBHmz4cf/hC+8x244YYRDbYQKr9xHaGX/QNfE40z5jM/xp0/l9AzvYM3tqqC7uf/d9gfXoHXVyHLXaTnqJn1rSVzEJo31qYOaPqYTpIqtGU2tAXqZCWn0lfYhtiKzttnOuE7n2HM536SWRa//FySF52Vj9GVBLOxDejZXwZjJ47zP4viwywmNkqF7veLgNlxY0d01cu0d2InTxzSfW1jPcZa/70/a2qvdekgQF8tqkuZ11S4LCBTaq/R+GrsxBrCf1+Id+fTJM8/pdgjGlD4j48D4O1d2t876aym8G2PEz90nyKPZugGm1JbdFWV2OoxhB98mcSlHx607o7z9GLGXPpzAJIfPYn49z878jHEEphYAjs+P1PC7IwGv+bW1g6oK2KRa2uH3WIVgpGJ4aSOTbwhHpvsLj2NKHzfC4Tv8+uXJD8wj/hPL4Gd3YQWLsM9uEDdk6SwZs2CRbtkgv3TP0EydQHg4ovhssv8GMEtt8CXvgSPPZb1Uw0tE2P+fJgxY8/lsZg/mOuu67184UIYM8Z/XHrQtwcjTdxZuYHkKYfT/eA1RG/+LrZ+fCaAEfv5ZURv/DaJL34Q0x3HtIySbINd9XPSntYzf7h0P5xzJp7EeLbvwp6pK7amxOc85pPZkDpBnzppSPdPfmIB0Zu+Q/TGbxO98dt4DeNxVm7I5xCLzqSuTNghXOEHSJ7rB5IHK5glQFcM0x0nefbxIy8i2N6FrR07pLtmsrD6eD7T3Oq3HB6gOHJJmlCDHVtZkHosprnV/0ydOC7vzzUkxhD90/f8mytKP2sgfVziHX/QIPcsLrv/DGxdLaZ1R7GH0rf+rvIPcgxUCuJXfwEAZ/XGQe/rrPLv4+0z3W/tnQvp455xQ/vMHK70cWbRp3glXL/g8zCnk1A7Fls7FrOuhI+Tt6eyJrKd1lcRztQKiV/5Sdyj5vj7mudl2qO6Hzs5FyOVUhaPw623wuc+58/IePVVuOACf90FF/i/b8n+fTCySX3f+54fTZk1q/fytWt7Z2bU1/vZGVtL+8DbefkdzNYOvLmzsTMm4x25H95s/0qarQjjvu8IvHn7457oF5YJp+Y2jyame5DCntP8E9bKf/09ztOLCzWs4khVKe+zsGfqhMe0d+6xbrRwNrT6nWyG+gVfEcY7ag7evP3x5u2P3WsK4fte8NMQy1Rm/xjiwZ53yGwAqs78LqE7nsrXsMpC+K6nAfCOmjNgnYrBmLWbcZpbsTVD65aRDmJEfvvAbisskRsf8j8jjclqLEVjTKrjUoGCGE31JfUa2cZ6vANmErntMcI3/K3YwxmQaW71u5IM0NqwVLhH7ud3UimxQEbkmtuoOvGrfU6vKPlMDHq60gzl/WrWb8GOq8KbO5vQopU5CVSGH34FIG+ZGN4M/zO28nP/lZftD1kiNWUwi6xIO62OyB8fx1lcmu2b0xfg7AgCUe4J/rmS+55D8A7aC2fZesYe8gWqPn6Vv3zu7JEPVErbPfdAYyMceSSsW+ffDoX8daEQTJ/uL89S9nMhnn8eXnkFrrkm600MprZyMpFI4VKm3aXP4gLVHz4LU+mn4HnfvRT75CuY/WdRWdUEgD1uCgl+TMWmTqorA9AiL4fi3XEqa+r6/7srwf3vb+N+/ceMXbKZ8ILyfX2su5kEUDVuMqHK6UyY3vO32oZ6f11XmNAo20fSEp0WJk5gQpZ/v/e1L5D85LeofnMLofe8P8ejKw3JLgevZiwTxjYN6f52doR0pYXK/76Dik+cP+Ix7LrflpPkmnY8oOb0M3CXb8Xb9lJW+6K7bDkuUHXySUP7vJ85nfjE8YR3RKna5f52y1YSQPjIQ7J+TxRTYkYToXUtjM3z2BMbtsOMpkFfo0Lvt96/f5Xk+VdQ+epaai4p3f+/ePNWnOMP77XvlSr35BNxH1lI7epunMbSmd8ev/kRAGqbkziH9n4dEzEL1eOyfn0Lsd/ayZZEzVjGtHQTHmSciY07oWk64fedjHv3s4xb0YGz96Ejev5k807/s3fBaZjK3Gdj2IOmkTxgNry9mvGJCZia/GR8DDqOzh3+cd7YumEf53lf/jTJr/wH1UvbCB19Yn4GOAJuVxgXqG3YB1M5Iav91v70n/GeeY3x+x6O/cI0vPpp4KUynMaPo/awYzEBCLZK/xJOgp2s7/8ON9zgZ2HkSfZBjCefhKVL/YKfAOvXw+mnw+9/DzNnwru7VA5ubfWvCkwaWlp5WlssjOMWpuZE6OXXGffj3+HV1rBl6l6QLpg952D/H/QsI0z1SccQefg5Nm9LQlXpFnnKqUSCCUmXzshYYtEB/l9OO5XaqTfA/97K1rkHk5x/TOHGWEDOtgS1QHukmkQ0TFtbG3V16fmDYcZXROjc2kV0oNeqjFXvjP1/9s4zPI7qbMP3mdldrWQ1V8mWe8fghg3YxjGmdzAtgIFAIECoKZACIYSQQvgCCSUklNA7phsIxgaMscHGdFOMjbskS3JV3zIz5/txdlZtJe2udrVaae7r8mVpypmzo9mZOe953+dBeDPZE+/nn7w/ub3z4PZH2D3vRGTvNEvBj4Ks3bW4crKpiPYc5Q0gP/SjJWHvM29DIEjgh/HrhjS9brsPvbaWIyaMYa+WTUZmDpmBIBWVVlRuOY3Jfuw1XMDO/adDlH+nzOMPJ+OJF9mxaTdy4AAA9A07yQGqDp+LkYb3hMyBg8h4e2WTz5RwpCRvWzmB6VPbvW90+nW73xR6HTYL9zsfsOuj9ZiTus6gO0wgQF75LuoKB6bFc0ccdBB5QN2T/6Nuetd5T7DvsZUbdxC03/9CZNf6kQP6xf1c66zrNqdoIDz+KhW/urLNrJycreWYI4dSP/0A8oD6x16jdk4H0vwti/xHX8EcO5K9rtxG782Jxf2Tc+h17Z+pfGUFgdOOTc5B2kFUWeQB1ZqXQKzXw9y55Ln/j8Ajr1B9xqlJ6V9HyH7xHVzADk8etHi/jZKM3nD4Yeoa6FsEF/2o6fpAonrrkCoMf2QLXQBKSlSs4PHH1e9DhqhlpqmyMEwTSksjy1VESfwhsN/+Vh1882b1b/BgWLRIOZFMmwb19bB8udr23nvhjDPiPlRn4HlzKQD+86PrpzlOCVHpazckq0tdDlFnCzW2H7Txn3caAJ7X4xds6eqIenU+ZCtBLNmvD1rFrs7sUpdC1PtaPTfREjxkBgCuTyO4InUDRMUurL7RCUYCoOv4LlYe7DI3h6wb/k7WzXckqXfpjdhdiQydW5lja9RUx9yOVlyGlZsNWdGVkwAY+4dKDj9qELfSSkK154O7tuBia0T6TIlG7K1C1NVjDS5sf+MU4J+nXFrcS5anuCeR0bZXIKTETJNrTBaosgB9SxfSGqlt0LHSSsparBZ19R1+rnUG5nCV3SfK2qg3lxKttAxr8EBkXg4y04tW3L6ORluI8h1Njp8sjAMmA6B/tTapx2kLEXKgkvFkjAuBVVSAVlrRNVxWmqHt2oPMzoJOzIZ36GY8+igcfzzYwa8BA5RbydNPq9+ffhqmToX+sdv42kQXxLj6ahWkKC6GI46Affdte3tNU5GXyy6DMWNUJCaJZScdRko8C5dgTBiD/9JzotolcOIRALiXvJ/MnnUt2hm0N8Z//ukY0yfhWbgEsbNra6HETeh8tJaJYw0qCA9c0hWxaw8Z/34M710P4Vr+UWw71/s6nKXku/YSADwLXkNfk7qXlWShlZRhFcU2YPP97EL855yCvq17i552FFFfjwwFHmSuEonUv4sx6BwIICp24j83tpmy4FwVfPO81qCbpBWrAZE1qCC2PnQRIn2mRGMPoMwYvxOdhXHYwZjDivC8ujjVXYlI+BrrouevBZqGf/489HUboaZr6EfZ57D5zzai3he+r3RlAqcfB4B72cpWtxE7dyP8gXDQ0H/uqejFZR161trnLHD68XG3EQ2yb2+M/cbhWbgkIUEAbdM2vHc/jPeuh9C/XhfdTh3QxADwz5+HCAbx3n4/2ncb42oj0WhbS/H+6xFE+Q7855yS6u44pDOPPNKylOTee+Huu5XF6t13q987QHRBjLvuUgEMw4CyMvj665bbbN4M++3X8PusWbBmjfKAXbwYCrrui5tWUqai6zHMiFpD1EyH67PuOUMcifYyD5pjTFd1lZ5X3kpan1JJe+fDHDww4kxOOuFZuITMfz+G9/6nyPzzXTHtm4hMDJmXizF+FO7lq/He/XCH2uqKaBU7sQpjT83vqjPVXQlRW4fspWqlzdFKaNr14acxtWHPbMc8KPR4kBke9K+/a2irpExl3aTBLG5EQp/JlcSZTztzTcbxnegsZO98tJ27Ebv3prorLbCfN2kTxADMMcMBcL/zQWo7EqLxxEOkSQhRV58W32E7W9j14WetbtM86GVMU+/w3n8/Fvdxdfsa7IRnlOzfB+HzoyUgoJ/x8HN473sS7/1P4f3XI1HtI/yheghPbCWKNubkCcisTLyPLMB73xNxtZFoMh5/Ae+9T4DLFc6+c3CIi3Xr4Jhjmi4bPx5WrVLrVq2CceM6dAhHUQXQv1kPgP/HP4x+J48H/6nH4vpybYfT79KFWIMYvisvwOqdh3vRMuVO081o73xYRYXqpdyfpoV/loX7rfewcrPxXTwfvbgMfP7o9pUSfXNxx9NuhaDm+fsIHH0I7g8+QWwv71h7XQl/AOEPIPNit5JsMVNttlGX2EMRdfXhEhBr7EjM4YPRyipiaiP8kh9Her7v8h+hVdUg9ijnBa2kLO2DT77Lf4Sorg1/pkRjl/vE853oLHw/UWK6XfG5r5VsR7pcyAHpo3ETOOkoAFwff5ninig8b68AIHjglJaTEFJCmmRiyD75BGcfgOvjL1rdpnnQy5h9IIHDDlZ/izizG7TiMqQQWMnSzWmE7wL1zp6IbAyteDvG5AkEDp+N+/2PoK6lM00L7HKSWC1WQ5j7jqXyo4UEZx+Avn5Th7MxtE3b0NZvwvXBJ3Fl02ibtqF/sx5j/CgqP3kD4+ADOtQfB4dk4wQxAM9LbwKx1/BZo9TsXvaF1ya8T12SdsonImEV9sf1zTpcH36SpE6lDtFeOUnoxUArTc+Bt+ujz3F9uRY5oB/WsCKg4bvSHnZgEFdixOXM0cMByL78dwlprysgqmsAkLmx+7BbI4c1+V3U1LWyZQ9FSqjzIRvp91iDCiKmh7dF+CU/jhIQc+RQADzPvabaKt6eVjPkkWj+mRKNqAp9J3Ji/050Fva1EOu11BloxWWqf7aFXTqQ4UFmZeL537up7gmitDycOWruN07pFTSegAkEEaaVFpoYoEoutMpq9LXfR1wf1ulpdF+S/fsg6n3oX8Rnba6VbEcO6NcpWgrWMPXO7v3P4+ifrOlQW3aQ2Qpl7Xn/+3S7+4hQoEN6O3Y9mKOGoW/aRs4Pf4rYG1+AWF/9Bbkn/pjcUy4m+5LfkHP2lWjrYgiKGCY5P7wM1xffhMc2Dg5dHSeIARAIYg0qUDfeGPDPn0fwkBlqkGoPaLsxoj50w86Mfhai7tbrAdDXdU0v7A4RzsSIfD7sWde01MWQEu175TBU+3/XEzhBacBE++Kufb8ZgMAPE1MX67/oTDUztmmbymzpgkJYsSIqQ7PO8QQxhg+m6uX/Un/Vj1VbcQhWdmt8foRlhctJAKyiUHlX0Ii6GW1badwz20ZIlFYr3g7BIHpJGVZReggutkb4M8WY0RIt4UyMFFkmRoOdldNmJoaUql7e/tdJmVLxaOx0BQLzjlaTAtHMficRfdM2AGr/dh1WUSEiGEQ0EuduCDz3Skn/YsV/1kkAaOs3R1yvFZdh9esD3oyGfebPA0DfuCXiPu3RmRlnsl9vah64FQB9/Sb1XYvn3cAwQ/fnQnyXnIPUNNVeO9gTVLIwfmFCAN9VP6b+Vz9FmBZanCK3jfvrD+mh2NdzNGhlFYh6H76L51P3+5/F1QcHh87GCWKgHkz2TG9MuF0EjjsUgF7X/CmxneqCxFpOAmCNGILM9JJ5+/24Qw4w3YXw+WjFrcUesHTFtOP2yLz5DrL+dg8y04s1ZgS4dMwRQ1sNyOScdCGZN96ufqmrp9fv/g8Ac8TQxHTI4yF47FyEYZI/7Th6XfSrxLSbQkS1ErKLJ4gBYI0ejhW6b9ltOSjCM2SN0r6tIQPR9laRP/UYPAuiyCSQEu/Dz2EV9otvZlvTMCaMIeOlN8mfqiwA09WZJIymYew7NmlZCBmPLFB/szYsIVNOViZWbg7efz/a+ibX3Ur+1GPD//JmnNwp+kjpWrJkTJkApD5r0f4bGdMmNpqEaPi7NQSeu265U2PMUcOQQtDrur/h/ed/W6yPFPSyhqqsS++98Wk0dHYgzThwCtLjJusvd5M/9Vh6/eTXMbeRdZ0yHrAGD4QMD8bM/XG/+yGuZava3E8rLUNqWly6Vk3wZhCcrUo3suN8txGNXHWCxx2m+hfDPadXKMvVmDEVstMjSOfg0IXfFDoPUVUdd/pq8NBZyAwPWpxR67SiLvZyEoSg9rYbAHB9/k0SOpVCArYydWRRJ9m/D9Lj7pJpx+3h+mQN5tiR1P79dyAEoDJLIj4UpUTfuJWMF/8HgL65GIDASUc2meHpKIFj5lJ/7aUED5yC67Ov015nJTzr3IHUeSs3fuvQ7oyobRnECJxyDPW/vBgrL0ddP+21EdJ9MKfEL27mu/z88M/G+FEEjp4Td1tdhVbvAx3FNMEwMPYdm/i2E4w5eR+EYUIgst6R65MvMSaMpf5q5SQk6n3o30ZO6U8YdfVoeyrTMhMjXHqZ4mdlY02RSJMQ4cBzFy53akJWJnW33YA5tCiiCH3EoJfbhTF+VHxuMYGAsg3vzGtQ16m97Qbqr75QvRt8+lXM7wb6dxuQukbgKHV/9v3sIgBcX7T9zir2VCHzc8HV8fIta+RQjH1GI3z+uM69fU+u+/3PMA6YjJWXE/0EmpTqWhjQF2PapJiP7eCQKnp8EMO14mP04jJkXpwPpaxM/D86Ha20gl6X/CYcqe+OtJd50BrGITMwxwwn44kXE6Ii3VUQgQBS01p/gGlayGY1vYIY3n88gL5xK8GZ+2PMnRlebhW1HLx4//kA2WdfGf49+5yryPrNLQD4z4vNlrJdcrLxX3AGwaMPUbZk/3k8se13Mg2pyfHP6tkv07aWgEMIOy29URBD9s7Df+GZWKOH4373AzJv+kebTbjfUDX6gaN+EHc3jEMOCv/su+aSbjHDZRUNRN9agrY1sfdysWM3wrQIHjM3oe0mg0Coj9r2lmU12sataNsrMOYciP+S+fguOxcAzzOvJLVP9oAlPYMYKmCQ8eyrKe1HY00Ra9AApBBNMzGq4i8BTBXBow/BnLov+tfryLr6Dw22oIaJVlYR8XoJHncYWlUNejuD+Oa4l6xASInZyRlnxmEH479kPsGj5iCCQVzLV0e1n/7Z12Sf9zO0rSXKRjt0fzYnjIlKQ0lU1yBzEnRPFwL/RUo0OPvi38Qm8mmYZDz/BsbE8QTOPBGEaCifjObQu/Yg/AF8F52VkICMg0Nn0eODGHaJQ+CoQ+JuI3j0HMyp++L+4BP0L+MTQ0oH4iknsQkco8puXCtjszjs0gQNcLctXBlp4N+lkZKMJ18CaDGYsIoKlduCPWCWkoynXkHsrURmejGHFSF7ZWEN7E/ghCPiK9GKAiOUdtlVLPniJREihrJfH9VWo7pth8jlJDb+M0/C6teXjOffaLMG3/XNOgDMaRM70BFB/VUXEDh6DsakfeJvpwthHDAZANeqxN7LtU60ZuwobWUO2M8448ApgLKJlpletJLklko0nL/0K1mSffNDWYupLb1sUgrh8SAH9A1bhkKjwHO6ZGKECJx8FOao4XjeWYG2UekkaGUVCNOKqNMTnDUdUOLeseAKvf8aM/bvYI/jw343cH3aMuskEu63l6OvWYsxc1qL9x0zinc3UVWd0NIi48ApBA6fjWvNWtzvt13K0phwAHNkQ/luLBlzDVa76XfvcOjZ9PgghlZShjF5Aub0+FOozPGjVdo9kPHUy+hffZeo7nUtbPHSOEoE/D85C6lrygorxYidu8m474m4VaDD7QSC4GlbgdsqKkx5imws6N+sR/gD1F13BebE8U3WNRcq1b/9HlHvw3/uaVSufo3q1x+l9v5bqb3/Vur+9tukqZNbRYX4589T/Uhjgc9wECPeLDBCL/8ZHjwLFyeqW90CUafqgxsLe9oEjzsU3+XnAZB5yz0gJWJ7Od67Hmqi5q6VlGFMm4jMy+1QX/yXnkvd7TdChL6kI8asaUm5l3sWvQekx4u0PdBtofMUDOL992PIDE842IMQ+OfPQ99Witi1J2l9ahiIdP0gUAvsc7RpG6KyKmXdaF5eYRUV4n51cfg5E75np4kmho1x4BTqf381AN77nyTjkQUNA98IQUNr/CisPvl4Xo3+uSIqq8h44kXMMSOQBbGJ5CcKa/BAzMHRZyBoJWVYQwZR+5+/tnzfKSrE9fnXbYr2i+raxGVioGxx6+68Cat3Ht77noxsaR8I4HnmVTBN3IuXoRVvD7+T+U89tkn/tZLyqEprtNL0CSA7ODTGCWIkSAhL9uuDOXYkruWr0z7NvTVEvQ/pzYhP5E7Xkb2ylPVmigeeGU+/Qubdj+B+/Z2ONRQMItsZqFuDB6JVVUN1eqT722mYzR/o0FioVD3w3O+sUNtO7vwZZmtwIaKmLq21ILRde9QguyPBHiGQOdmq3j7NNUISiahru/TN3G8cABkvvYn2/WYyFryO9/6n8D74THgbrTg9nR6Sjq4je/VC/3pdQu/ldhajVRS7nW1nY7vVuNasbbLc9elXaHursIYPCWsJAZj7jAbAvfj9pPVJLylDZnqRvfOSdoxkYts6upauTE0HImiKWAX9EVKG3bYaghjpVxZmjhqGNagA99vLybztPlzvqfPc2j1O5uUod4tWdF+a435rGQDGpJbvDp2JykCILqOnLRFSO6vBveLjVvcXu/cm5ftmjh6OqPfh+vCTFuu89z5B1p/vwv36O/T6xc1kn/uziAHMsLvOjt3tHi+8fxxW4g4OqaRnBzHaqAmMGU2j+sX7CR46C/d7K1NuFZYMRL2vQ/7o/p+ei/D50VJst2rPhrk+/QqxvQMpvoFguwNQ+9ryLFqmrEG7OKLeh3TpmBFS38Mp1CVlaFuK0b/8Fquwf8SAR7KxAypJF8tLIolScff99ByEZUX1stJTEBE0MRpjDRlE9VN3Ayr7yJ5xdH0YKpGorUMr3+EEMVrBf9m5CH+g9brteh+uFR/jev8jXO9/FJVWlFZajv+M45OWwZVQdB3/uaeif7+5iWWvHaSoveuPTTYPHjUH6XbjWv2FOh+79ya8S1rJdjUh0yh4kk4ED5sFpE7fpyEzoSETyNZ1smf2RVWNmshpRcy7S5OVSdVbT1Lz+J0AuJevRuqtO2v4fnI2AK7VX7beZl09rhWr0b/6DtfKz5Aunfobf57wrseCVVSI68u17dsamyaub9a3eo8PnKayGlrN6qj3hW1ZE03d7b8HwBMKDImKneF7qe2YYq/Tdu7GtfoLpNvdxAq8eeZsW2gl27H65Lf6vHRw6Kr06CCG2LFT1QQmMPpozyY0ntHrLoh6X2zOJM0wRw0HIOv3f09Qj+LDtnHzLHqPXj+7Ke52RDCIbKecxNaFyLrpH2Q8k1rRsmho628s83KQOb3QSsrIvvBa3B98kjTdi/YwQ98zz4LXU3L8RKCV7UjIvcd+6Y529qlHUNt6OYmN/fLZ63f/h1a2AwBt916VmRFy2jGHD05yR9OT9u7lGU++RPalvyX7suvJvux6vP+4v+0GfX603XuxBqbPTKDZrKRE7N4bvsdbBf2bbqxpWCOH4ln0HtmXXU/mn+9KeH9U5lDXL8VpDdlLZTeIFGUthjVFms1mQ8NMtaisQualVylJc6yhRUiXC33TNqxhg1sVcrTtu7NuvK3Vtrz3PUn2pdeRc9YVeBa9p8ps4snUTSD2PaQ9e1Q7k7S1Z7DMzUFmZ7X6XPW8vAgAc1jinxF2dodn4RJEaTlZv7klfC91rd0AgHvphw19eXOpyhxpZE0dzpyNQotHldWk773DoefSo4MYmu353cGa58b4LjsXqWtoG9LUcrXe13qKcAczMYxZ0zCmTVQDhnqf+tdetDwJaMVlBA+YTOD4w9DXbQQjzj5EI+w5ahhVrzyIlZ8bTknt0rTzNzaLCtHXbUQr34l//jzq/u93ndi5Bqzhg1Xt6470FbQUlVVY+R2/94RfVrbFGMQIBpvMIncn2hL2tJF98sPXutW3NzX3/hUAfdPW8Itf8NhDk9zT9MSYuX/Te3nje6hpon+/BatfH6qfuhtjwlj0DVsb7vn2v0bXXtj1IQHfh84icMbxAOgb1WfTQ/f3uht/HnFgWPPArep8TJ+k0vQTiW2RmM6ZQy4dmZWJtjc1mhjhlPpGmRj2PUIPZWno20rTKtAWCZmXQ/XCh6h+6m5qHrq91e3MfccSOOxgtPKdrb6n6c3ecwOnHZfQvsZD4KwTAdr9jmkbtwLgP/PEyBvYDh+RXJgsC31LCQDBEw6Pv7OtIQS1oXcrfd0m5RZ32Cz1N7vnz+HN6n95MdVP3a2W3/+3pl0MBWei0QdxSicd0pUeHcRoENZLYGTd48E4YAqeJcvTRgfBxnvXQ+QfcAKZv48cee9oOQlCEJxzENruveQfcAL5B5xAzryL428vHkwTrbQcc+J4jMkTEIZJ7tHnxlXbLQLtZ2KACmRYgwrJeOnNqOtLU0V7f2NryCBcn6wBUKKHKbSaMyeND5USq2l8AAAgAElEQVQEtbQ5TAdEVU1Czp/9suK978mo99E2biVv2vHkzZqH1g3tWUVtPdKlty28K0R4wBKcOwNz0gRAvdBpJdsxxwxvMrPl0Aj7Xr6nkvwDTiB37hnh7JecH16O57UlKtA4aR/MsSNwff51+J5v/8ubc1pYxFFU1wIkVCQv6XgzsAYOwPvAU+QfcALZF14LNLi3NEf2yVfnY/xoVbqQQD0RsbcKUVef9sJ8MiebjKdeTsmx9ZIyZFZm00CaECGBxO2Ish24PlmDNTBy+UU6YQ0ZhDlpH2S/3m1uZ/wg5AT22tst1onKKtxLP8Rs5IhhpEAfqzkyPw8rN6fdwbv3P49j5eW0aXttDRyAe/nqFuVfvS75jRIxHTUsaZknRsgVK/vKG9B27cHYbzzmpH0wQs4xAIFj56p7yqR9kH2b/S0zPFgD+rbv+GNZqqx+UHrfOxx6Jm1PI3dzGiwOE/viZMyahnvlp+ibtkXUFuiq6J99DYCrFW/wDgcxgMCpx4LLpeoRP/8a9zsfICqrOy1FU1TsQhgGVlEhwWMPxXx2IfqGLYg9lcg++bE1FghEXb9tHDAZ1zfr0EorsLpwinp7f2PflRdgThyPzPAQPGRGJ/asJcFDZuB541307zZipNuLpWEi6uoTY9WX4cEcMyIm5wP9m/UIy4J6H54txTBiWMf70YUQdfUqC6MdfYC6P/wC16drCB75A2RuNlZuttJ8SfPU/M7Avpdr6zeR8fIi9M3FmCOGoH+3geAhM/BdcT4A/kvPaWL9B6BtKyVjwetoG7Zg7j8xrJmRbq4PdX/5dRM3Mtk7r937u1lUiKj3xffMaQV7oGKm+WyqMXEcnvJQdk8H3zViRSvZrmajm90zbIcx/TuVxh+cc1Cn9iuVBI+eC3+8A33DFoLN1tnZxoEzjsfKy0XU1GLMmtbpfYxEu/ai/gDCMDGm7tdmO8HZ03Ev/RD9+81hy2SkxPX5NwQPnILvygsS1+lmyIJ+1P7tOrSKnaDrBE48Qq1olP0rB7TtAmNFYxNbXYswTGTfxNyLHBw6kx4exEjOi1PwBweS+Y8H8Cx4nfp0CmKEbnb6pm1o20qxhgxqukGdD9qJ3LeH7J2H//zTAbAWv4/7nQ/IvuAX+OfPI3DGCR1qOxrCda+DC5G52dT//CKyr7oRz+tv4z/vtNgaCxrtWqyGNz1sFt5HF6gXpa4axLAs3Es/xJi6b+ubjBqGf1TXGPAaBykv+sxb/oWvpjY5aZ1Jwq77TlQmS+DYQ8m86yH0r9dh7ju2nY0DZF1/a/jXAX/9N7WHzEpbQcCI1NVDZvsiZeaUCZhTJoR/t4oKw7oG4ZdWh4jY93J97fdkvLyIrF//JSx4GDj+cMwJYwA16+u/8Mwm+2obt6ogRnEZ5v4Tcb+9XLWZwsyueDAOnBLzdWJnS8T1zGmFBj2H9A68BY+ag2fJcrTS8rC+WGehFUd2qrOKCnG/t5LsK24AVClVT0HmZmMOKyLj0QX4fvGTJs+IjJAeVXD2gVgjhqSqixGxigrxLH5fZUM3nygwTLIv+CUAgaMPabMd42CViZJ54+0NE22WhfD5CR4xG3P/toMgHaXdd5p2skCsooG4Pl3T5jb2OMhKswCygwP09HKScAprYl+crBFq1knfUpzQdpNK0ECU7cAYPwoA16rPW2wiAgFkRuJUuY0DJhE4eg5i1148L7+VsHbbovnLnjltEhCfy4W2ey9WfnT2Ws0FwroiIlSLnC516bJvPv758xDVtXheW5Lq7sREOIiRoHuPPQPmWvVZu9vqG7YgLAtj8j5YffJxl5antVVtJITPj8zMiHm/xhkDRpJfULsL5qjh+OcdjTW0CKuwP4Gj5mAc1PbAvrHTESitAQBzzIjkdrYLYO6v0sQT6azUODifzoSvi1j1fTpKWFOkZRCo8TkNHHdoy7T9bo41bDDCtBB7Kpss10Lvt9bQQZF2Syl2IN/19boW67RtpbjWrMXKzcaYMbXNdqyiQvxnnIA1YojSR+mTj+zXh8DhszFSmJFT+88bqbv5mna3swYXIsp2tKl9lZalfA4OIXp2EKOqGikEMrt1Bfu4cOkETj4K16dfqbTINEArq0BYFoGzTlLCpJFS0EwzofV/Mj+PuttvJHjIDPQNm/Hedh+e515LWPuR8CxUVorWIFV+IHOzMaZPikr8qAlSqtmiKF8a5YC+SJeO955Hu6yYol1eFTiq7dmJLoMQ1F9/JcaBk3EvXx1ZgCtKXCs+xnv7/a1bRiaYRKfPm/uNw8rNDluFir2VZPz7MUT5zhbb2jaQ9TdcHbbDc72/OiH96DJEYX8ccbdTjw3/HDx0ZiJ71H1xu6j/86+o/c9fqf3PX6n7x43tD/QyPFj9++K97wmoq1diy3Nngjf2wFO6IfNyMKZNxPPqYkRFy+9nPGjFZUokuA03nnTADiJ473mkiWaIa8VqvLfdh/efD3TMFr0V9LXfI+rqI5bjmI2EPutuvb57ZaxFgT8kYJvx2AvhZdr3m3F9uRb/acem3I0kEoHjDgPA/b93m60IkPXHfwJQ+68/Ifv3bb5rUzSN+j/8PHxvC9/j7rypiQBsZxM8ck6TZ1VrWEWFiJDmRWvon34FpF8pn4MD9PQgRnWNij4mQbzNDKXXuT78JOFtJ4PwTM7QIqyBAyLbSgUNpWeRYIwZU8GSZDzxElk335FUQVT92+9VNkkjn3e75jUWRFWN0o8oaLsmMYymYQ0fgrZ7L/rnX8d0rM4i0SUOnYUtdOV5Nn4L28zb7sP78HN4H34uUd1qk/DsR27iZj9kbo5ySAgauN/5gMx/P0bGIy0/j619Yw4bjGHPWK38NGH96ArEmzVmjhuJVdCP4EFTm9wjHBKPOX4UwjBVADLdnTVixC5B8SxMTAZZWM8hzZF985EuF65vv28iSJh5231kPP4C3gefJeOFNxN+XPfbHwA0KS2zMfcdh9W3N8HDulnJXZSYE9QzwvPcwvCyjEefB8A4qO1MhlRhv5e51nzXZLlr9Ze4Pv4SAGt098/6ap7xFgnXl0oDr8uWOTs4tEHPDmJUJsYdIBK21ZT7/dW43lsZnuXuqrjfWgaom55VNDDiTU8YhlL8TzDB4w+n8qOF1P3f9aovHyQp8FNXj1ZZje+y85osNosK0cp3QE1t1E3Fo6dSe9cfAVStZhck/JkSXF6VbAI/PAFz5NC4rxttwxb09ZsAcC95H3z+RHYvIsnQ4/FfMh8A96L3wqm/nrfeb2qPZ1m4V39B4PjDICsTOXAA9fuNxf1hCoIYdfW4lq1C/zyykHCHCASj1qtpjMzPo+rtZ6h98O+J75NDE+puVfd7zzOvImrr0r4UIhZ8V5yPlZ+L65M1uJauxPXR52ib4y8/1Uoi6zmkHUJQG7KKdC96T52bpSvRissInD0Pq7A/nlffCrvaJAqttAyroD/mxPEt1smCflS9t4Dau25O6DHTBVnQj/pf/AStqiYsHq0Vb8eYsi/BUMZDl0PX8c8/Ga20rGlGz0eqTLry7WfSbrImHuwghuu9lbiWrQo7SDVGK60geMBkZL8+nd09B4cO07ODGDW1yDbslTqCzM/F6pNPxoLXyL7iBrz/eiQpx0kEYvdeMkJlHFZBf6xBBZEzEwwTkhDEsDFDQl6Zf7wjKe3bMzvNraSsoUUAeF6JXpfDnkm3YngQ2tZsGU+9jNhb2c7WnU9SLIc7CZmXg75+U0wOHWpHSfZ5P1M/ulwIn5+Mp19JQg+bkmhNDGjQE+j121vIePxFALTyHbiWN5SK2C9xVqM0WisvF618B9rWkoT1JRq8Dz1L9uW/I+fcq9G2xV8KFIlo7Y8dUofMzUa6dNz2NdnDLP6s0cNxL1tF9pU3kH3hteScdGGcDVnK9SrNRT1tzBFDkJpG5h0PqnNz5Q2Ieh/m6OGYo4ejlZbjvf2BhB5TZQIVJLTN7oT9buZ5/g1AicB39cwfa1Ahoqauid6Te9FSAGT/njFgtwr6I7Oz8D7+ItmX/w7v/U+12KanZcE5dC96dBADvx+8SbLxEoLqF+6j+pl7MMcMD9tRdUX07zcDUHfTL8ClK3uqXXta6nmYZlLKSWysUcMInHgEWlV1UmbDWxM/C4YUqmPJlolrJt3tpu6Gq1RfNmyNfr9OIlmWw52B/9xTAWLWxRB7q9CqavDPO5rKD15SbXTCdzV8rhM4G2TuN46qVx9CejPQdu4OL7ezTKDhs/nPmRdeVnm6qq3VNm1LWF+iQVu/OfyznmgtkkDAKQdJA+puvzH8c7rbg8ZK7V03U/3MPap0CZTlcV19zO2Iil2IYLDbDERk/75Uv/4I1c/c0/Dv+XsJnHI0tbfdgNUnH33D5oQeU1kqd4/zlwyMkJ26VrwdgkZMemCpIlxKYb8TSIlWWkHg2EOTUkLeJXHpVL3ykBqHDBmE3vzdxudH27HLufYd0pYe8k2OjPAn1m2jObJ/X8z9xmEOG4x71WeIHbuSdqx40TZuJfvCawEwQk4d9oyOVtpUQEsYydHEaExwtrK06vWLPya8bTu7pMUN2+1CZmXG5NDgWaAyV2J18jCmTwYg5/xfdCh9OBk0aGKkXyaGOU656ngffCam/TyhrIvgEbMhKxNjwlgyXl6kBsERyJt8FJk3dzxTSFTVIF2uxAoZCoE1cijWIDWjaA4uRGZ6ybzjwbDAp/feJ5CahizoH94tMEzVwsYsbtsRamrxvL08PMPX6+c3oa9Zm7DmnUyM9MBobG/bxQdFiUbmZitB3tHDw8uaP3O1tRvI3+8I9C+/bbUdrdR+rnWfTAJryCD17mT/Gz9aCUhm98KYOQ3XF98iShMk8BkIICp2dptMlqQgBMY+o8l46U08Lyhr1a4+8DVDGbbZP/k1AJl//Kdy5Yqge9KdkQX91H1m6CDcSz8Mi4pDw3u2NaTrOcw4OERDjw5i4I+vbjpWbCsmfd2mdrbsfPRv1gPgu+issLBPgx1oM3FPw0yKJkZjgocdjMz0JmVWWC8pQ2Z6kX3yW6yTOdnhEpFoEHurkZoWs5e9NWoYvvPPUP35dn1M+yYbUVWDdLshiYG9ZGENK0JmehF79sa0nx66xm2LUtsaUiuJ/IIsTCtcetURRFVIjycJQnH291cW9Mf34x8CoK/fCFIqBf6p+zaZiTL75KnsjU4MYuih73fgpCOpv/ZStSyCHV7cBIJpeR33NGTf3tTedgO1d9wESSrt7Or4LpmPf97RQEsLbvd7H6r/Fy1rdf+wNXafnmH9absG6WsTY1Grba9ASNnjgmixYovRupd/DEDg6K7tYmaNHYExfhSitg7qfWFL4+CJR6a4Z6nBOFgJoGsbG7KAtU3bkJlegocfnKpuOTh0iB4dxIhXwT5WgjP3Bzp5pjMK9G/W0+u3twDg++m54QGV/TBv0d+gkXw7rUwv/vnz0Iu3xxXIyPrt38ief2XLFxzLIuOJF9UAL8LAUeZmqzKWKBCVVbhXfabKUGIdhAqB73IlLJp13d8gGIxt/yTief51VUqSjgrsQhA4Zq6aoWtUStEmwSCeVxdj7L9fuPQgOFe9IGefc3VL8bjGAplxpH03JmPBa0kr27GDGFZRYVhgOOvmO8m64e8If6Dly6cQWIMK8D76PFhWUvrU5HAVO8n+0S8ACM4+EP+PTkPqGhlPvJi4Y/gDKiDn0OUJHjNXZUL1UGTf3vh+fhEAvX7716b3GdP+PsqWO4bQklCa1pWxB9MZT72ckPY8LystrJ5WzhQr9rPRvfRDzJFDu76drxD4Q0H8nLOvRP9uI/4zju8x35PmBA9WWc7ZF/yCvCnHkH3GT9FKy/GfcwpkJqms3sEhyfToIAb+AGQk35deDuiHdLm6XBDD9f5HAPjOP73JTczOVLBneMKYJriTW04CDbZdtghhtIiqGjyvLcH15domYoag6oYB9fCNgNWvTzjlvj3stHdzv3Ex9S9MryyMieMRhtnpOgStYpiI6lqswv7tb9tFMafsC4Drs+gsbO1zbwtiApj7jsUcNwqtqhr9q6b2bI11Wjqk4RBywbGFXhNN4KQjCRw+G/8pxyAH9FUvKTW1YeFaY/aBLfYxR6jvRczCqHHg+vQrRDCIMX2SymTSNGTf3mFHlYQQ7JwsOweHRCD79sYcORRRU9ekpEQr36H+3916hlm6ukrFi+ydp7I1SysS0p7+vcqQjft53kNo7NwS6KquJM0wZuxP4Ji5WIMHYsw5kMBJR6W6SynDzrQWpoUwDLQ9lQQPnUXgmLmp7ZiDQwfo0UEM4fd3SiYGuo41cACelxcl/1gx4Hl5EVbf3vh+9dOmK3Qd6XEjGgt7miZCSlXHn2SMGVORbnfMQR+7Nhhoca7ttgKnHRtxX2twYVTHE7v3knXznaqtDtz866+7AgDvPY/hvf1+REV0AZRkISp2IqQk8MMTUtqPjmDP5rpfezuq7cPXxMmNXmy8GdTc82f1492PNLFna/x9yLrpH1Adn22yXaoSOCM559qctA91d96EecBkEIL6667AnB7SuxlUgDW0Zf2r/b1onM7uXrwM763/Dv9zJ8ga2BP6+9Tc8+ew21HgxCNV2q9sfcY5Fjory87BISEIQf0NVwPgvePB8HfOteozADwLl7SaJeV6V5WcpKMgc1wIgX/+yehbS8JBV1FZheepl8P3D1FZjfef/1X3rYVLIjeztxLvPx9A/3ItwUNmOLPR7dFIv8n/k7NT2JHokX17U3fbDdT+60/U3nWzKqXsqeg6/lOOCf8anDuTujtvwho/KoWdcnDoGMkfkXZl/IFOq5uWfXujbytF7K1E5ud1yjHbxB9A31YaFtZrjszKbBrEMEIprnonxL00DauoAK1ke/vbNt6t0QBM31zcxKEgbK/ainiXVVSItrdK+Wi3kSbpfmsZWmk55vDBHbLpMkcNwxxWhHvVp4i3lyN75+G/8My42+soevj8pG9KrW0N64pSa6Q1oVc5oC9S03B99R2ibAcylDEh6hq+D/qGLbjfW0XwhMNj7qd9XXfmuQ7Omo5r1ecEQ/o8zQnr4JSUhV/0Mm+5B7G7Erwe8AWQb71P8MgfdLgvYS2YRt8zmZeDMEzliJSV2eFjdJbekYNDojDHjcQsKsS9YnXE9dr6zVjjRrZcvj2UudFTHBcAc58xALiXLCdw5olk/ukuPG8uxZw4HnPieFxLP8T74DNq0sXtovKEw1uUSbqXLMf74LPI7CyCIb0Ah7apv+YSXMtWhYPPDumFMXMaGS+9CUBw7owU98bBoeP0nKdecywLrbIa2Uk2fHZtXnPhrlShf7cBAF9rEfVMb7MghqH+74RMDFCDKveKj2OamXV9pGat6n9zGdBUSFUrKUMKgTUocgp/g5hpG38fKfG89jbS5aL61Yc69tLYK4vq1x+lcuWrWLk5uFZ/gfvtFYiyHfG32QH0j78EWg/ypAu+i+cjynfgXrJcnc8IJUKiYifut1fgWv1FZKFXTaP2P38FwPVVg2OGPetXe8tv1WbRBtkME9fyj3C/vQL3ovfwPvwc0LluDIGzTqJy1avh2d7mNAQx1GfStpWiVezCd+k5VK58Ff/FZ6vU9proxW8jEgwiKnbh++l5TRbbs8ix2By3ipSIYBDcTiaGQ/og83KpXvQElStfbfKv+pl7AHB9tibifqKmDv9ZJ3VmV1NO8MgfIF0uXB99pu7ln6hz4162SpWVLlwMgO/nFyHqfS1LA1HPeunSqVzxEoH581qsd2iJ/8c/pPbh21PdDYc4CR53KHu/WsLer5ZELCt1cEg3emwmhmulGvB2hsYDNIhGaSVlXaL20vPi/wCwxgyPuF5metWsaAgRCmJ0RjkJqMwVUVOHvvb78KxLe7gXLwcarGI9L/6P+tC51kvKkAP6hjMzmmMNDtnKlmyPONsFoH/xLa7Pv1a6EQmc9bLGjsD9/ke43/+I4MHTqb3vbwlrO1o8i95TfRmYvpoYoPQthGnR6+c3ARD8wYHhgIRN1p/uxB1KwTYmjo8oZGpnKHleWUzwyDnqZ/scDRmE1a9P1AFJ17KVZF/9hybLrPxcZF5s9rxJxZvR5DNl/vGfAGH7R1szI+PF/+H/0elxH6Y1JwDbqljbW4nZUV2WkFiuzHAyMRzSH3OYsor0vP4OgbNObrpSSkR1Tc8TK9R1rFHD8CxahqeRc4v3P4+jf/wl7tVfYOXmYE5Q7w5Zf/gH1S/e36QJraQMq3BA8sXKHRwcHBySQo8NYmiblaif/+yT29kyMbTq+JEKgkG07RVYA/oq//UIyExvWDAMaCgncXfOA99/3ql4Xl2MtnFrdEEM00Ts3oP/9OMwJ4zB6ttbDZhCVpZaSVmb6fv2Or2kDKOVbfSNWwCo/ecfWtkiPmruvhm9pAzv3Y+gr9uIqKxWM9NxBEpEVQ2yV2bML2Zix24CR/4A0tzRIXjsXKrGjUQEg3jvfCiirbG2fhPBWdPw/fJirEGRrwlZ2B9jn9FoW0vCy0RZBTKnF+aUCar8KMrvsis0C1j9xF3knKsyIapfebDLucA0/kz65mKMiePDOiPBY+fCr/+CtqWkjRbaR9umMj2aOwFYAwvU+uKyVu9JUeMPqP87KcvOwSGp5GQTPGgqWklZy2dDXT3CtHqMqGdjah66raGUBpCaRq9f/QX36i8AqL3zJszpkwjOmobr4y+Vu1qjSStt8zbHVtXBwcEhjemx5SRaaTkyw6Nm5zuD7F5Y+blhbYaUYZrkHn0u7hUfY0zap/Xt3G7cKz9TuhKAa+WnarnWOUEMc5hSUvbe92RU24vynQjTCme5GJMn4H7/I/JmzSPj/qfQire3GcSQvfOQWZltzq5nhPpiJloIKScbc/xozAlj0LZXkHfwKWT9+q/t79e8fw8/R96sefS6/Hex7Vhdg1ZV3UR9PG0RAmvUMHU+x4xAK98RdpMBZSusF5dhjh6OOX50mzOY5uQJ6Bu34nn6FeXusWQ5RmiAHa0QrOflRXjvfwqrdx7mlAnh5bJv7w58yORgfyZ9zVq0sh0Y0yc1BFqEwBwxlIxnF3bIhjXjv0+rYw1pKi5qDVGZUBn3R/d9bwsRcDIxHLoX5uR90Iu3q2fDdQ2Zep6Q2K7MzUlV11KGzMtR9/nQP2vsSMzRKoNOCqGyMITAmDUdEQiSc/JF4X21rSW4vv1eZWI4ODg4OKQlPTaIIfZWIXvndepsaCyzt8lClO9Eq9hF4PjD8f3iJ61uZwcDxB5lsyp2K/tDo7MEsLIyMUcPV44FUdBcmNL3y4up+83lWAX9cX32FaJ8Z9t6D0K0+/cRNbUY+45NWraC/+yTqbv+SoyJ49EbaTFEiz1Y19e0rP9tc7/QZ7ZLaroLwWPnAqB/vS68TP9mXWjdoe3u77voLABca9YqoVjAmK281q2iQrSyioYMpVbQv/wWgLrbfw9A1cKHqXrh/rZ2SRn2Z7L7HDyu6TkyDpoCNNgVx4NWWY3Vvy+yWcmIzMvFHDIIUd1BzQ2AUBDD0cRw6C74zzlFPRv2Hdvk/m7bRAeO6rjgbnfA97OLqPvN5dTefXNYODhwyjGYI4aiby0Ja/roa5UmWPAI57w5ODg4pCs9N4hRVdPpKZjWYCVWKSqr2984SXheVYJXgXlHYYWyHSJhhGaN7ZISW+TT6oAjR6wEjpqDVr4TLfTC0RbN3Ues4YMJnHcq5vhRuD78NGIdfnOswYW4l36oHEqaoX/+DVplNcGjD4njk0SH7JNPYP48jJn7oxeXkfmHyAJa2oYtZJ95OTmnXoL7jXdU/778Fs9bqjZYq6pG//SrqI/reSGkj5LGziSRMMeNQrp0sv58V/jlNeOxF9S6Ce2XKMmBAzCmTcS9ZDlZ1/wJgODBdhBjIMK0cL+9vNX93a+8RcZzr2FMGItxoAoAWCOGtKq5kmrsz5R1yz1IXcMc1zTjKHjoTAA8r7wFqMyfnFMuJvv0S3F98Em77bsXL0Nft5HgUXMirg8eNQd9W2l4YBYvIpQ9Jh13EoduguzbWz0bZkxFK95OzikXk3PKxXgWvI45ZBD0wHKSSFhDiwicdyrG3JnhZTIvB9+V5wOQc97P0b9dT8YTLwJgTJ+Ykn46ODg4OHScHhvE0KqqO10My9xPpes3nhnubPRtpYAqt2gLOz1VVCu3AFHvQ+pap2omGLNU1od79eftbquVlCE1DWtg0/RQ/9knETxkBoHjD2vXRs2YMBYA/dvvW6xzhfpgD2KTSSCUJZDxwv8izvS7Vn6K6+t1aMXbcb+pxCbdyz4CoP6qH6ttQm4j0aBt2gqAOXZEh/rd5dA0goeol1n92+9BSrTyneqlP0rNEP95pxGcOQ1z/Gj8Z5yAFRL8DP5AXQf6l61nzHj+965q44L4hTA7E/szgRoMNNdkMabuB4C+XumMeF5djKiqRt+0Dfc7K9pt3x0S4AuceETE9caMqQC4Pmr/+94mdiZGJ9lnOzh0FoHjDid4xGzMoUWYQ4swDpiMP5Qx5tA6xkFTCBx/OPr6TbhWfKw0wfJyILtXqrvm4ODg4BAnPTaIYQs+diaBY9Qsvj17HhdBg4yHngWfP67dRVU15tiRkJXZ5nbNLQ9FvQ8yvZ1afmNO3geZlYl74RLcb7cxSKquwXvfk8iCfi3cZozZB1J3503U3Xo9sn/b+id2+rwnwt/H89IirN55nTKLbo0ZQd1Nv1THXfBaeLnYuQfv3+/F88piZKYXY9pEPO+sQP92Pd57H8cq7I//0nOw+uRHb/+JElMMHHto2ot6RsJ3zSUAZN14O67VXyBq6wjEYEcYPGK2un7uvIn6P/w8fH3JAf0wRwxt9Txrm4txL19N4Kg5BI87rOMfpBOQA/ph9c4DwH9mhHOUlUlw5jQ8by7Fe8eDaNtKCR7xA8yRQ/G89GbbdsimiefNpQRn7N+qO5Nx0FSk293hkruwJoaTieHQzbDGjaTuHzeG70l1d/TaE0cAACAASURBVN5E4PTjUt2tLo/Mz6Pu1uuweufh+d9SRPlOAp0k6u7g4ODgkBx6bhBj1x6s/LxOPaYc0A8AVwcyMTwvv0nmPx4g49EFce0vqmujCt7IvFAmRiiIQX09MrPtwEfCEYLgobPQ12/Ge3vrOgLu91cDIbvMDmA7VbTIlAkE0LeWIDvxejGm7gtAxtOvhJe5Fy/D++jzaMXbCc6dSXDOQQBk/VKVOhihwWG0opMAmCZaWUW3KyWxsQYVYA0qQN9WSuaNqjzHmNJ2FlLUbbdxnu3gk51NlC4E5h2N1b8v5v77RVxvl2R5//s00uMhOHN/5IB+CH+gzWvOrkG3igpaP7imYRX0RSvfGf8HgHC5ngzVxDs4ODgABA+dpVymeueFS/wcHBwcHNKT6IIY114LI0aoWfivQrX2u3bBccfBuHEwcSKceirs2NGwz8qVMHkyjB0LRx0FFRVJ6H6c1PvQdu3pfHstXcc/fx5aaXnbs5ZtYAcVXG2ksbe5f2U1VhRK5rZeiH08/Zv1SG9GXMfsCHW3Xof/R6eiby1B/yqyYKXrg4/Vtn/+VccO5nbhP+N4FWRqVMahlapr1/eTzkvbtUYNw/ej09A3blUOMVLieXkRMsND1YoXqfv77wicfTLm4IHhEqG6v/5G7Vs0UDnLROEioW3YgjDM7ms159Kpev0RpBDoxdvVAL2dUqposYoKcX37vbLua4b7/Y8wRw1Lu1lS3zWXUPXus61qhvjPapi9rHnyLoy5M/H/6DSANrOl7PIm/9nz2jy+zM0Jl7DFi50d022vaQcHh7iov/kaqla8RNV7C5wghoODg0Oy8PngsstgzBgVI7hEZUWzbh3MnKliAzNnwvr1HTpMdEGMefNg2TIYNqxhmRDw61/Dd9/BmjUwahT89rdqnWXBuefCPfeoDs+Z07CuC6CVKm/xNt0qkoRVVIiorUNUVsW1vz3L2Ng2Mqb991aFsyzaIhzEqK4B01SDtQ5YK3YEc4wq4cg+7+cR++B+9wOl19FOiUw0WAPVTLF76YfhZeFBUSdnK9g2lJ433kX/9CtcX69TwqqNSnqskI6FWVQY/vyWnfEThbaA56U31f6ju5keRmPcbqwRQwAwRw9PWLP29eBe8n6T5WLXHvSNWztdOLgzsK1QQWW5AJgjhwKQ+fd7Ww3OuhctbbF/JGROdseDGMVlSJcrnPnm4ODg4ODg4ODQSfz61+D1qhjAmjXwJ5Uxzk9/CldcoZZfcQVcemmHDhNdEGP2bBgypOmyPn1g7tyG32fMgC1b1M+ffKI6P3t2Q6efe65DHU0kWnFqBqWNj6kVl4GUMTuV2ANqsbeqXXvHFvgDaDt2hQcfbeLSkVmZiKpqRCi9O3BO27OoySJ4/GH4fnQaIhhsYe8oqmrQKqvxz09M3/xnKy0AbcPm8DJtSwnQ+deLPYuvf/VdWGy09o4/Ntmm9tbrqXrpAWqe+3d4mf9cdS60DVvaPYa+cStWfi5mgkosuio1T9xF1UsPUHvnTQlr03/miUDLgKK2Rdmx+s9PD0HPmMjKpHLpc1QuXRAWzpT9+4btaMXO3eFNRWW1CmpIiba5hOAPDgzbHraGzM1uKGGLE62kTAn8Rine6uDg4ODg4ODgkABqauCxx1Tgwp50LShQFRmffgpnn62WnX22+r1xFUeMJEYTw7LgP/+Bk0JicFu3Ns3a6NdPbbN7d+T9Oxm7djsV6cb2MbWSMjIefo68g08h47Hno95fK1Z9F5aFVhZbiY69fVRBDNSAQqusRg8FfcwxKZqtFwIj5CzSpO4+ECB3jhootiYWGDM52cicXnjvfTK8yHv/UwDIAW0LgyYctxtzcCEZz7xK1t/uAcBqnkmQ6cUaMwKZlxteJAv6I4XAe9+TtIVr6Ye4V3yMuU/7dqPpjszNxhozIiHZOmGyMrEG9MX72At4nl0YXux98Fkghd+XJCP79UH2691kmRHS0LDvT55nF6p7271P4P3XI2hV1VFp1sjc7A5bUGslZd1W48XBwcHBwcHBocuyYQP07Qt//CNMn64SHpYvh23boKioYYJJ12HQILU8TlztbxIFV10F2dlw5ZUJac6mX4aG25342TSjrBwzw0P/wf0Rnei2ASBHFREAcsvLkd+uwwJ6fbuOfG+Ulo+lZYgRQ5CbttF3RwXa6MFRH9vy1xME8vrloUdxvMDAAejlO8iqqMAA+owsQkTZz0RjjSwiCPSuKEf3qlpWa/tOgoaBmLU/vY8/JGF9Cx44GevtDxigWeB2EaitQxwwiYJebVs2FhQNaHN9PFj//D3BM64AQL/wDAqyo7GN1AkcMAn5xbcMyNBavcaNteswgawbLic7RX/XdMf6100Ef3gV2WvX4w6dw0BlFTI3m/7jh7Wzd9cgEddt0+/nJIL2ve2bdUjDQAJ5F5za7nfUKCrA3LWHAcJExGmR6i8pQzvyYOea7uYk437r4JBsnOvWIR1xrluHSAR1Fy1CEKYJGzfC1Knw97/DqlVw4omwID5DirboeBDj2muVMMfChaCFEjuGDm0oLQHYuVOt69MnpqZNvx9hxlgyAch3PsS667EW+gnigEmIGy7HemgBjBiC6ffF3HaHceuQm41596NQr2xSrYXvEPzDVYh2hDNlbR3sqYIjDoZN2zA2bkWbuk/Uh5Z7K9XxXALpq29/h0H9kZ99gxGaWTb65CKi2S8JyL7KGcT473PIY+cgP/wM6+Z/ASAuPQsTCxLUN3noQfD2BwSOvUBdt/U+OGwGRjvt79q1i759E5ytsc8IlbbvDyBPPrzdPoQ5bAZ89AXBf/wX7YpzI25iPvAsFPTDGjYQK0V/17RnwiiYPB5rwRv4F7wBY4bB+i2IU4+K/m+VYhJx3cp+6vtpbi7Gqq7Cev5/AFjvhrRljjwYM8vT7nfUKugLUmJs2oIYHn2ANtyPunrYvRdZ2C9tzr9DfCTlfuvgkGSc69YhHXGuW4dIBPz+lguHDgWXq6Fs5KCDVEVGZiaUlKggh66r/0tLW8pVxEDHykmuv17pX7z8MmQ0GoBPmwb19Sp9BODee+GMMzp0qFiQSz6A0grEmGHhfwDylSWwI1TSMir+k9ZhRgwOBzDCbCpuf79dKgjBxHGgaxCtjaZNfShok+mNbvuiAijbCaUVUFSAcCcmcScehMcNhf2hQulzyKWroHwn4oxjYb+xiT3W7OmIkw5HjB+JGDsccfyhiMNnJvQYsaDd9lvEOSfB8KKo97H7K5etjrhe1tSBP6CuRYcOIU4/puGX9Sp4K047ppWtuyci0wt9e6t70lZVfkajcj0RZXmHGBwqdSspj68j9n5OOYmDg4ODg4ODQ+fSrx8ceigsXqx+X7dO6WGMHQtTpsDTT6vlTz+tsjX694/7UNGNSq++Gl58EcrK4IgjVK3Lc8/BLbeoTs2apbYbMQJeeknNXj/+uFId9flg+HB44om4OxktsqYO+Z8nkau+gPEj0W6/PrzOevJV5C33Yv1JaQtopx6d9P60hjj9GOQXSgxQ/OUa5O9uh+Iy2GdU2zuGVPtF71xkYf+YX/RlzEGMQpXNUluPuLTz7EVbQ5x5HPLOR5GffIV88lUYMxztD1cl/jj9eiP+ek3C240XcegMxKEzYttn4ADEGcciF/wP+c33iAmjm24QunaaDMAd4kLMOxL5+zsafr/qPMTk9vUfuh2DC5AvvoVcuxEA7ZZrsX76e6ith8HR6fDYwQf52ruIg6fF3gf7uo72eA4ODg4ODg4ODonj3nvhwgvhmmvA7VYxgfx8tfz88+Hmm6F3byUA2gGiC2LcdZf615xW7PQAFdhYsybObsXJik+Qj74E+bmIuQc2WSWm7Ycc2B++WAvDBkHzQV0nIqZOwD5z4sBJSECWlNOuOkd1rfo/NxuKCpDFMc5WxhjEEFMnIIsKwLQQB0yK7VhJwD5v1u/+oX4/YGJqO9TFEQdPU0GMx19G3HJt05WhLJ5oZ8gdWkcIgTj+UOTSlZCd1SW+K6lADByggrPffA+ZGTBmOOKM45CLliH23ze6RgaokkMZTWZaBGRIWNTJxHBwcHBwcHBwSAEjR8LSpS2Xjx+vNDISROrqA5KAXPEJANqbDyGym1r5ifEj0Rc/moputaBxrbcY2B9yeiHfXw0XnNr2jrb1YE4vRFGh2icW7BKWaIMYI4egL3o4tmMkETF9IuTlqKwVlwvxm0tS3aUujThiFkzfL2JJibSzeJwZ64Sg3fqrVHch5Yj5JyLfXAaA9vp/EdlZiGsvgmsvir4NTYMjD4aNsatVy43bkCs/VwGUPnkx7+/g4ODg4ODg4JAeJMZitYsg31ODteYBjC7JiMFgC3lmZ8GqL5BG2yKmck9IEyMvBwYNgJ17kMFg9MeMtZykKzI2ZFs5ZhhCd9wH2iU/FyqrkRu2Nl1eXKbsRvNzI+/n4BArtr6Kxw3NLFhjQWR6G+5VMWBd81dYukplgHSy65SDg4ODg4ODg0Pn0W0yMeTuSti9VwkgpgHai/eApYpKxPmnIv92H5TvVGKarVFaAW4X9O+jAhkAVbXQNz+6g9oDA2981oVdAe2em6BsBxQ4KsnRoF1wGtaSD9TM9qih4eVyw1Yl1uoM9hwShOidh7b0SXC7VEZFvMQRxJCWpVxhTjvaydBycHBwcHBwcOjmdItMDPnp11hzzlYaHRPGpLo7USHcbkSGCibY7intuo2UVsDAAWqAkJutloXEPqOi3geZGR0bYKQYkeVFjByC6JUG2TZdgZCjifXAs+FFck8lrPwcCvulqlcO3RTRrzfCDrDGS6a3pXtTO8g33lM/jB+JyMrs2PEdHBwcHBwcHBy6NOk7mm2E/HYDAOKGKxBHz05xb+LAVuRvR6hT7qmE3qrWW+T0UgurYghi1PnSu5TEIWZEfq4KZNTUNSwMlZaIw1JnG+vg0CqZGeDzq+yKaLGv6RMOS1KnHBwcHBwcHBwcugrdI4jx8AvgcSPOPA5h60ykE4X9Qdfaz8SoqoHcUPAiniBGvRPE6ImIw2fBtu2YZ/0cWVkdFvUUB01Occ8cHCJgZ1J8tS6qzaWUyAcXwODChuCug4ODg4ODg4NDtyXtgxjSsmDnHhg+OG3r+4VLV4GM4vaDGMIuI+kfsiIs3xX1cWS93wli9EDEiYfBD6arQeFX69V1JgQM7J/qrjk4tEBM3w9A2bVGQ1UNWBaMHJLEXjk4ODg4ODg4OHQV0j+I8cIiMAzED49NdVc6RlFBu+UkVNc2ZGA0yt6QldVYf70X6w93Ij9e0/r+IU0Mh56FGD0M7fdXAiAXvg0l5VDQD+F2p7hnDg4R2G8sZGUiX1qM9ed7kOU729xcLlWe49qpR3dG7xwcHBwcHBwcHFJM+gcxnnkdADFtvxT3pGOIosI2y0lkIKhmHG1NDLdLBTJKypHvf4x86lX10v/wC60fZG9Vg6uJQ88i5OYiv9uELCmDwW244Dg4pBAhBOKo2bCnEvnM68i3lre9w+pQ4Hbi2OR3zsHBwcHBwcHBIeWkdRBDBoPw3UbE2ScgxgxPdXc6RtEA2LkH6WtFlb+0XLmvDC5stE8oe8MOfsyYAus3Yy18B+v1d5F7q5q2UVyGGOQMXnsiQtMQ80+C9Zvhk6+d68ChS6P9+Rdo7zwOmV7kk6+2vJeFkHX1yNfehcn7IAoctx0HBwcHBwcHh55AegcxFn+gfigqbHvDdMD+DCWtlJTYYoxFDYPPcPZGcTn0642YNB5KK5DX3Yb8zd+RDzwX3lZW16pMDmcGvucypNH3xLFXdejiCCFg3AgoLkP+d0HEbcLlhLZNtYODg4ODg4ODQ7cnrYMYrNsEgDjzuBR3pOOEgxMl5UjTRJpmk/XSFv1sHLAZXKCyNzZuhaJCxOXz0d54EO2N/8KIIciP1yCNUDuh/UV3CPg4xIU48/iGn885OYU9cXCIDu2Bv0BuNnJLSZPlMmggt++A7zYCyl7bwcHBwcHBwcGhZ5DWQQz50POQl4PoDo4boTIRWVKGdcIlWPMua7q+pBxcLhjQp2GZHZD4Yi1icIEqGRg6EDF0kFLq/3o98g93qnYffl5tO2xQsj+JQxdFeBoJefbJS11HHByiRGR6YeqEFs5N1q/+hnXk+ciXl8C+Y5TDk4ODg4ODg4ODQ4/AleoOxIus94FlIWZOTXVXEkO/3uBxq9KQbdtbri8pg0EDEHrDy7ooKkDavxQ1LRPRfvUTrPdWIb/5HgC5u1K1P25kkj6AQzqgPXMHBI20tSN26HmIokLk6jVIKRuu2283wJR9EKcchZg0LrUd/P/27j9Gq/rOF/j7zACCisqPOvyQVtcN1aplu7pryy7tvTgIlRHESq21xMXYbK+1u97eba6ttz+T/khv0s21wd3E3N51bapVs9Lo2hp/pbZNVKqlsmuzVFcqCgMFtArM8GPm3D8eGUVwRpmHeZ7j83olk2fO+T7zPZ9JPjk88+Z7zgEAYERVdyXGhs211/96dmPrqJOira12o85b7x7Y17fg8vT/nxtT/urJlPf8/ICgYv+bfO5/mUhxwpQUH11Yu9HnLf+aPLw6xdwP+OO1xRWnz0zxvvc0ugx4807oSHb2JH94OUlSPvW75PlNKf7svWn7yPzq39QZAIC3pLIrMd6O93go/tulyc9WpXx2Y1Ik2fpiynt+lryyVLrt0kX7/8DkCSk+dUmy5YUUH/rzA+c7+721R69ed2Nt++PnH+5fAaCuBlacPdedHHdMyl/WHqlazP7ThtYFAEBjVDbEKPc9xeNt9LSNtvM+lJz3oYHt/r//fyn/720p/+EHScfkFP9l/1UnRVGkuGrZG084589qry9tT05+Z4o/Pe1wlA1w+LwSVPf/r79P8b73pHziP2qXxp3pfAYA0IqqeznJlm1JUSSTJjS6ksOm+IvX/E/j5Lf+exZjRicnnVDb2L6jTlUBjKB957Cnfpfyth8nL76UYsEHa5fgAQDQcqr7KbBnVzJu7Nv6Hg/Fn88auO9F8VcXHtIcbf/7mn2z1akqgJFTHDEmxbf/58B2273/lLZv/I8GVgQAQCNVOMToTd4Oj1YdQjHvL2qvM086tAn2hSCXdNWrJIARVbz7lfPfH7/LCgwAgBZX2Xti1FZiHNHoKg674r8vT3H5RSkmHHtoP3/0kWl7bGXtGnKACipOfmfafvqD5Mi3f3ANAMDgKhtilK2yEqOtLTnEAGNgjiPG1KkagMYoJh3X6BIAAGgC1V2X29Prf+UAAACghVQ7xGiBlRgAAABATXVDjD17k9Hu8wAAAACtorohRl9fMqq90VUAAAAAI6TaIUZ7dcsHAAAA3prqpgB7+1K0W4kBAAAAraLSIYbLSQAAAKB1VDfE6OtLRo1qdBUAAADACKl2iOGeGAAAANAyqpsC7O1P3BMDAAAAWkZ1QwyPWAUAAICWUu0Qw0oMAAAAaBnVDTH2CjEAAACglVQ4xNjrchIAAABoIUOHGH/3d8lJJyVFkfzbv726f+3a5AMfSGbOrL3+9rdvbqxe+vo9nQQAAACawYknJqeckvzJn9S+7rmntv/hh5NZs2r5wLnnJps3D+swQ6cAF1yQPPRQ8q537b//U59KPv3pWmDx6U8nf/3Xb26sDsr+/qS/Pxk1qq7zAgAAAIfo9tuT1atrX/Pn1/5u/8QnkhUravnABz+YXHPNsA4xdIjxl3+ZzJix/77Nm5PHH08uuaS2fcklte3f/37wsXrp66+9uicGAAAANKfHHkvGjq3lCkltwcOttw5rykO7HmP9+mT69FdDhPb2ZNq02v7Bxuqlr6/26p4YAAAA0BwuvTR573uTK69MXnwxefbZ/a/qmDy5tjpj27ZDPkRTX4/R39eX/qI4YH+5e3fttSjSvy/QgAabcNxx+pHK0bdUkb6livQtVaRvOZgD/0J/xc9+VruKY9eu5Oqrk6uuSpYsqfvxDy3EmDEjef752oqI9vba64YNtf1l+cZjb9G4ceMyevToA/b3rVmb3iRjxh6R0UceeUi/AtTb2rVrM3PmzEaXAW+JvqWK9C1VpG+pIn3LwezcufPgA/v+5j/iiNpKjEWLkr/92+R3v3v1PVu2JG1tycSJh3z8Q7uc5Pjja3cbvfnm2vbNNyfve1/yjncMPlYn/eu7kyRtZ7y7bnMCAAAAh2DHjuQPf6h9X5bJLbfUcoEzz0x6epKf/7w29o//mCxdOqxDDb0S42/+JvmXf0m6u5POzmTSpOTf/7128MsuS772tWTChOSf//nVnxlsrB5270mSFO+aXt95AQAAgLdm06bkIx+pXYnR15e85z3J9dfXVl3cdFPtiaW9vbXHsH7/+8M61NAhxnXX1b5e75RTkkceOfjPDDZWD6/cE6MYc+ClJgAAAMAI+qM/Sn71q4OPzZ6drFlTt0Md2uUkDVbu2Vv7ZnRT35cUAAAAqKNKhhj7LifJmDGNrQMAAAAYMdUNMYoiaa9m+QAAAMBbV80UYM+eZMzoFMUbPqEWAAAAeJupZIhR7t6TjHZTTwAAAGgllQwxsru2EgMAAABoHZUNMTxeFQAAAFpLJUOMcs8ej1cFAACAFlPJECM9vcm4sY2uAgAAABhBlQwxyj9sT3HM0Y0uAwAAABhBlQwx8tL2FMeOb3QVAAAAwAiqZIhRvvRyimOOanQZAAAAwAiqaIixIznGSgwAAABoJZULMcq+vmT7DvfEAAAAgBZTuRAjL+9IEiEGAAAAtJjKhRjlS9tr3wgxAAAAoKVUNsTwdBIAAABoLdULMTZvTZIUE49rcCUAAADASKpciNF378+TJG0zpjS4EgAAAGAkVS/EePSJ2jeTJjS2EAAAAGBEVSrEKPv6Uj67IaP+6iMpiqLR5QAAAAAjqFIhxt477k2StJ04vcGVAAAAACOtUiFG+ezzSZJRF85vcCUAAADASKtMiNG/7rns+YcfpJjekWLc2EaXAwAAAIyw6oQYv/5NkmT0sgsaXAkAAADQCJUJMfbcfFeSZNQnhBgAAADQiioTYvSvey45dnyKI8Y0uhQAAACgASoRYpQ9vcnWFzP68qWNLgUAAABokGqEGM91J0naTpjS4EoAAACARqlEiNH/H/+ZJClmCDEAAACgVVUixNjz/R8lSdreOb3BlQAAAACNUokQo3zhpbSd+scpJh3X6FIAAACABmn6EKP/t+tS/uezaXv/rEaXAgAAADRQ04cYfaufTJKMOmd2gysBAAAAGqnpQ4xyfXfS3pa2M89odCkAAABAAzV9iNH/XHeKqR0pRrU3uhQAAACggZo+xCif25jihI5GlwEAAAA0WAVCjO60nTCl0WUAAAAADdbUIUa5a3fK329LccLURpcCAAAANFhzhxgbf58kVmIAAAAAzR1i9HfXQoxihpUYAAAA0OqaOsQo94UY093YEwAAAFpdc4cYL+9IkhTHHdPgSgAAAIBGa+oQI729SXtbMmZ0oysBAAAAGqy5Q4yeXcm4cSmKotGVAAAAAA3W3CHGrl0pjhzb6CoAAACAJtDUIUbZuzsZJ8QAAAAAmjzESO+uFEeOa3QVAAAAQBNo6hCj7OlNXE4CAAAApMlDjGzfmWL8UY2uAgAAAGgCTR1ilC/vSI45utFlAAAAAE2guUOM7TtTHDu+0WUAAAAATaCpQ4xs35FivJUYAAAAQLOHGGWZ4lghBgAAANDsIUaSWIkBAAAApAIhhntiAAAAAEkVQoxjPGIVAAAAqEKI0TG50SUAAAAATaCpQ4yiY3LaTprR6DIAAACAJtDUIUbbGe9udAkAAABAk2jqEKOY8o5GlwAAAAA0ieYOMaYKMQAAAICapg4x2qYe3+gSAAAAgCbR1CGGy0kAAACAfZo7xDh+UqNLAAAAAJpEc4cYo9obXQIAAADQJJo6xAAAAADYR4gBAAAAVIIQAwAAAKgEIQYAAABQCUIMAAAAoBKEGAAAAEAlCDEAAACAShBiAAAAAJUgxAAAAAAqQYgBAAAAVIIQAwAAAKgEIQYAAABQCUIMAAAAoBKEGAAAAEAljGp0AQdTlmWSZM+ePQ2uBN4aPUsV6VuqSN9SRfqWKtK3vN7evXuTvPp3+0grykYdeRAvv/xy1q5d2+gyAAAAgIM46aSTMnHixBE/blOGGP39/dmxY0dGjx6doigaXQ4AAACQ2t/rPT09OfbYY9Pe3j7ix2/KEAMAAADg9dzYEwAAAKgEIQYAAABQCUIMAAAAoBKEGAAAAEAlCDEAAACAShBiAAAAAJUgxAAAAAAqYVghxjPPPJOLL7448+fPz8UXX5x169YNuv9gbr311sybNy+dnZ352te+lv7+/jc19lo9PT25+uqrM2/evCxYsCAPPvjgmxqjNQ23bzdt2pRly5blzDPPzIUXXnjAuL6l3obbs/fdd18uvPDCdHV1ZeHChfne97633/iKFSvS2dmZzs7OrFix4g3r2LJlSy6//PLMnz8/ixYtyq9//es3NUZrGm7f/uY3v8mSJUuyePHiLFy4MF/84heze/fugXHnWg6Heny2TZJdu3Zl4cKFB3xOcL7lcBhu3z7yyCOZNWtWFi9enMWLF2fp0qX7jetbmk45DMuWLStXrlxZlmVZrly5sly2bNmg+1/v2WefLefMmVNu3bq17OvrKy+//PLyjjvuGHLs9b773e+W1157bVmWZfnMM8+Us2fPLrdv3z7kGK1puH370ksvlatWrSoffPDBcsmSJfuN6VsOh+H27OrVq8vu7u6yLGv929nZWa5ataosy7J89NFHy66urrKnp6fs6ekpu7q6ykcfffSg81xzzTXlihUryrIsy1WrVpXz5s0r+/v7hxyjNQ23b3t6espdu3aVZVmWfX195VVXXVXeeOONZVk613L4DLdv9/nmN79Zfv7zn9/vc4LzLYfLcPv24YcfPuAz7T76lmZ0yCsxtm7dmieffDJdXV1Jkq6urjz55JPZsmXLQfdv27btGjyzjAAABVVJREFUgDnuueeedHZ2ZuLEiWlra8vSpUtz9913Dzn2ej/+8Y9z8cUXJ0lOPPHEnH766XnooYeGHKP11KNvx48fn7POOivjxo07YEzfUm/16NlZs2alo6MjSa1/Tz755Dz//PNJkrvvvjsXXHBBxo4dm7Fjx+aCCy54w579yU9+ko997GNJkrPOOitjxozJmjVrhhyj9dSjb8eOHZsxY8YkSfbu3Zve3t60tdU+tjjXcjjUo2+T5Je//GXWrVuXxYsX77ff+ZbDoV59+0b0Lc3okEOMjRs3pqOjI+3t7UmS9vb2HH/88enu7j7o/o0bNyZJrr322tx///0Dc0ybNm1gzmnTpg28b7CxTZs27fcPw4YNGzJ9+vSB7alTp6a7u3vIMVpPPfp2qPn1LfVU7559+umns3r16rz//e8fmP+1PTt16tSBOdasWZNPfvKTSZIXXnghZVlm4sSJ+723u7t70DFaU736dt958+yzz85RRx2Vj370owPzO9dSb/Xo2507d+Yb3/hGvvrVrx50fudb6q1e59t169ZlyZIlWbp0ae6444795te3NJtRI33Ar3/968Oeo6OjIz/60Y/qUA28OfqWqjlYz27evDlXXnllvvzlLw+szBjMGWeckRtuuOFwlAcH9fq+3Xfe3LlzZz73uc/l3nvvzcKFCwedw7mWkfbavv32t7+dj3/84+no6Bjyvhmv5XzLSHtt35522mn56U9/mvHjx2f9+vVZvnx5Ojo6Mnv27EHn0Lc0yiGvxJg6dWo2bdqUvr6+JElfX182b96cKVOmHHT/1KlTDzrHhg0bBrY3bNgw8L7Bxl5v2rRpA0ujk1piOGXKlCHHaD316Nuh5te31FO9enbr1q1Zvnx5rrjiinz4wx/eb/7X9uzGjRsPOseECROSZL9lqPv6crAxWlO9z7VHHnlkzjvvvNx5550D8zvXUm/16NvHHnss119/febOnZvPfvazWbt2bc4///yB+Z1vqbd69O3RRx+d8ePHJ0lmzJiRzs7OPP744wPz61uazSGHGJMmTcqpp56au+66K0ly11135dRTT83kyZMPuv+1y4f2mT9/fu67775s27Yt/f39ue222wY+XA829noLFizID3/4wyS1pVBr1qzJnDlzhhyj9dSjbwejb6m3evTsCy+8kOXLl+fSSy894I7jCxYsyMqVK9Pb25ve3t6sXLly0J695ZZbktSu+e7t7c3pp58+5Bitpx59u379+oGnkezevTv3339/Zs6cmcS5lsOjHn1755135oEHHsgDDzyQ73znO5k5c+ZA+OZ8y+FQj77dvHlzyrJMkrz44ov5xS9+kVNOOSWJvqVJDeeuoE899VR50UUXleeee2550UUXlU8//fSg+8uyLL/whS+U991338D2zTffXJ5zzjnlOeecU37pS18q9+7dO+RYd3d3uWjRooH37dixo/zMZz5TdnZ2lueee2557733vqkxWtNw+3bv3r3lnDlzyrPPPrs87bTTyjlz5pTXXXfdwHv1LfU23J791re+VZ5xxhnlokWLBr5uv/32gfded9115dy5c8u5c+fu18tPPPFEecUVVwxsb968ubzsssvKefPmlV1dXeVjjz32psZoTcPt25UrV5ZdXV3l+eefXy5cuLD8yle+Uvb09Ay817mWw6Een233OdgTH5xvORyG27c33XRTed5555WLFi0qFy5cWN5www37za9vaTZFWb4SuwEAAAA0sUO+nAQAAABgJAkxAAAAgEoQYgAAAACVIMQAAAAAKkGIAQAAAFSCEAMAAACoBCEGAAAAUAlCDAAAAKAS/j+3EqpPhnQGwgAAAABJRU5ErkJggg==\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "This plot is important because it shows us the heart rate of the participant for each second, giving us a detailed look at a particular workout session. Also, the colored zones allow us to quickly identify the level of vigor at which the user exercised." ], "metadata": { "id": "iEx6cSnVc6_b" } }, { "cell_type": "markdown", "source": [ "# 8. Outlier Detection and Data Cleaning" ], "metadata": { "id": "1g-4Tru0-4ws" } }, { "cell_type": "markdown", "source": [ "**NOTICE:** If you are using synthetically generated data, the analyses may yield unintuitive results due to the randomly generated nature of the data" ], "metadata": { "id": "9XU60Wu0aDMM" } }, { "cell_type": "markdown", "source": [ "In this section, we will detect outliers in our extracted data.\n", "\n", "Since there are currently no outliers (by construction, since it is simulated to have none), we will manually inject a couple." ], "metadata": { "id": "oa2BJu4KRzKt" } }, { "cell_type": "code", "source": [ "import pandas as pd\n", "\n", "outliers = {'time': ['01:11:52', '01:11:53'], 'bpm': [240, 50]}\n", "hr = hr_df.append(pd.DataFrame(outliers),ignore_index=True)" ], "metadata": { "id": "GJyjKwufUPsF" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Now we need a method to find these outliers. While there are many known methods for finding outliers, one of the quickest ways is to use something known as a z-score.\n", "\n", "The formula for the z-score is \n", "\n", "\n", "```\n", "Z = (data point - mean of data set) / standard deviation\n", "```\n", "We will compute this formula on every data point in our data set, giving us a massive list of z-score values. \n", "\n", "What the z score tells us is how far, in terms of standard deviations, any one data point is from the mean. In statistics, data points at increasing standard deviations away from the mean are less likely to occur. This means that the greater our z-score, the more unlikely for the data point to be real. \n", "\n", "We can decide what distance from the mean constitutes an outlier by setting the **threshold** value, so if a data point's z-score is above that threshold we might guess it to be an outlier.\n", "\n", "One intuitive idea is that the heart rate should not vary too much from one second to the next. To capitalize on this, we can improve our analysis by first calculating the distance each heart rate sample is away from neighboring heart rate samples. We can then use the z-scores to determine which heart rates differ from their neighbors by an unusually large margin. These will likely be our outliers." ], "metadata": { "id": "BPyoSJbgWVIm" } }, { "cell_type": "code", "source": [ "import math\n", "import pandas as pd\n", "\n", "nx = hr[\"bpm\"]\n", "\n", "distances = []\n", "\n", "f = lambda x: x**2\n", "\n", "#take the current count, subtract it by the points to its left and right some distance, then \n", "#square each of these differences, add, then sqrt\n", "for l1, l2, m, r1, r2 in zip(nx[:-4],nx[1:-3],nx[2:-2],nx[3:-1],nx[4:]):\n", " difference = math.sqrt(f(m-l1)+f(m-l2)+f(m-r1)+f(m-r2))\n", " distances.append(difference)" ], "metadata": { "id": "BqGX6sqheP9c" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Now we can calculate our z-scores for the heart rate data in one training session, and identify those data points that seem like outliers. Luckily, we can save some time by using the [z-score function](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.zscore.html) from scipy's statistics library, which will give us a z-score calculation for all data points." ], "metadata": { "id": "7TJ687gBhrHT" } }, { "cell_type": "code", "source": [ "from scipy import stats\n", "import pandas as pd\n", "import numpy as np\n", "\n", "threshold = 4 #@param{type: \"integer\"}\n", "z_scores = np.abs(stats.zscore(nx))\n", "hr['z'] = z_scores\n", "print(hr.loc[hr['z'] > threshold])" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "VxV9PJfFSp2s", "outputId": "d86af8e1-ff7a-4427-fd10-e63880a63bde" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ " time bpm z\n", "3469 01:11:52 240 4.892948\n", "3470 01:11:53 50 4.448598\n" ] } ] }, { "cell_type": "markdown", "source": [ "It looks like the code was able to successfully identify the two outliers!" ], "metadata": { "id": "_VOtYJMGYRD3" } }, { "cell_type": "markdown", "source": [ "# 9. Data Analysis" ], "metadata": { "id": "dbAciV8Zd0Tm" } }, { "cell_type": "markdown", "source": [ "## 9.1 Correlation between average heart rate and calories burned\n" ], "metadata": { "id": "r_BHhJ3-IlFW" } }, { "cell_type": "markdown", "source": [ "We want to test the hypothesis that for a session, the average heart rate correlates with the number of calories burned.\n", "\n", "Let us begin by extracting the necessary data. This includes:\n", "\n", "\n", "* the average heart rate for each exercise session\n", "* the calories burned per minute for each exercise session\n", "\n", "\n", "\n", "To do this we will refer to the exercise_data list of exercises which we kept from section 3. In practice you can use the following code:" ], "metadata": { "id": "wZs38sFLDWus" } }, { "cell_type": "markdown", "source": [ "\n", "\n", "```\n", "avg_rates = [s['heart_rate']['average'] for s in exercise_data]\n", "calories_per_minute = [s[\"calories\"]/(float(pd.Timedelta(s[\"duration\"]).total_seconds()/60)) for s in exercise_data]\n", "```\n", "\n" ], "metadata": { "id": "liJzZsWazMTA" } }, { "cell_type": "code", "source": [ "import pandas as pd\n", "\n", "avg_rates = [avg_rate for avg_rate in df2['avg_rate']]\n", "calories_per_minute = [c/(m) for c, m in zip(df2['calories'],df2['minutes'])]" ], "metadata": { "id": "wKgdTOBpzmZq" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "And now we can actually graph the data to see the correlation. This is done by using a [seaborn linear regression plot](https://seaborn.pydata.org/generated/seaborn.lmplot.html) which we can use to visualize the correlation." ], "metadata": { "id": "XwCdE4Whzol6" } }, { "cell_type": "code", "source": [ "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "\n", "# plot the data \n", "d = {'calories burned (kcal/minute)': calories_per_minute, 'average heart rate (bpm)': avg_rates}\n", "df = pd.DataFrame(data=d)\n", "\n", "graph = sns.lmplot(data=df, y='calories burned (kcal/minute)', x='average heart rate (bpm)')\n", "\n", "graph.map(plt.scatter, 'average heart rate (bpm)','calories burned (kcal/minute)', edgecolor =\"w\").add_legend()\n", "sns.set(context='notebook', style='whitegrid', font='sans-serif', font_scale=1, color_codes=True)\n", "\n", "plt.show(block=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "mjBZKvYADvq2", "outputId": "9762fbc4-8ffb-4962-edf5-dfcb620267cf" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "From the plot, we can see that the line of best fit actually fits all the data points rather tightly, and this is our first indicator that the correlation between the two factors exists. \n", "\n", "But we can do more to confirm this correlation - we can calculate the p-value to determine statistical significance using scipy's stats library, as shown here:" ], "metadata": { "id": "kDC-YCxYPUpz" } }, { "cell_type": "code", "source": [ "from scipy import stats\n", "\n", "p_value = stats.linregress(calories_per_minute,avg_rates)[3]\n", "correlation_coefficient = stats.pearsonr(calories_per_minute, avg_rates)[0]\n", "print(\"P value: \" + str(p_value))\n", "print(\"Correlation coefficient: \" + str(correlation_coefficient))" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "wdbkk52zPWpB", "outputId": "24b7d84e-4552-442f-9156-a1299ee34f0d" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "P value: 0.0033113838558418668\n", "Correlation coefficient: 0.952639690187336\n" ] } ] }, { "cell_type": "markdown", "source": [ "Based on the p-value 0.0023 < 0.05, we have statistical significance. This means that there is 0.2% probability that the datapoints of our dataset occurred by chance. \n", "In addition, our correlation coefficient of 0.96 implies a very strong correlation. \n", "This relationship is intuitive, because Polar uses an equation to calculate the calories burned. But looking at this data allows to see that polar's calorie counter makes sense!" ], "metadata": { "id": "32-u3DYbO7kF" } }, { "cell_type": "markdown", "source": [ "## 9.2 Correlation between duration of exercise and calories burned" ], "metadata": { "id": "jpW1e0fSQv-s" } }, { "cell_type": "markdown", "source": [ "Now we can clearly see the that average heart rate and calories burned per minute are tightly correlated. But how about the correlation between the duration of an exercise and the amount calories burned? We will first extract the necessary data through the code segment shown below:" ], "metadata": { "id": "wg7xkzpEHatn" } }, { "cell_type": "markdown", "source": [ "\n", "\n", "```\n", "durations = [float(pd.Timedelta(s[\"duration\"]).total_seconds()) for s in exercise_data]\n", "calories = [s[\"calories\"] for s in exercise_data]\n", "```\n", "\n" ], "metadata": { "id": "0ZsYfurAfvcn" } }, { "cell_type": "markdown", "source": [ "As before, our example will use manually inputted data points (which come from real sessions), but feel free to replace the code with the above segment to test out your data!" ], "metadata": { "id": "ZTjmXySgr1Pn" } }, { "cell_type": "code", "source": [ "import pandas as pd\n", "\n", "durations = [m*60 for m in df2['minutes']]\n", "calories = [c for c in df2['calories']]" ], "metadata": { "id": "tWxo-XxhdTDe" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Now we will recreate the graph plotted in 5.1 this time using our new durations and calories data." ], "metadata": { "id": "mtnNfzZLsHzk" } }, { "cell_type": "code", "source": [ "import pandas as pd\n", "import seaborn as sns\n", "\n", "# plot the data \n", "d = {'calories burned (kcal)': calories, 'duration (s)': durations}\n", "df = pd.DataFrame(data=d)\n", "\n", "graph = sns.lmplot(data=df, y='calories burned (kcal)', x='duration (s)')\n", "\n", "graph.map(plt.scatter, 'duration (s)','calories burned (kcal)', edgecolor =\"w\").add_legend()\n", "sns.set(context='notebook', style='whitegrid', font='sans-serif', font_scale=1, color_codes=True)\n", "\n", "plt.show(block=True)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "id": "P8N_iFCHdbzQ", "outputId": "41a5492b-5d2f-4f67-faec-1029e83d017e" }, "execution_count": null, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "code", "source": [ "p_value = stats.linregress(calories,durations)[3]\n", "correlation_coefficient = stats.pearsonr(calories, durations)[0]\n", "print(\"P value: \" + str(p_value))\n", "print(\"Correlation coefficient: \" + str(correlation_coefficient))" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "dVQTMPDiqBkx", "outputId": "d5b1d883-5466-49c8-b413-50215d0e01ae" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "P value: 0.02055818281629383\n", "Correlation coefficient: 0.8805265461816261\n" ] } ] }, { "cell_type": "markdown", "source": [ "Since our P-value is 0.017 < 0.05, meaning the we have 1.7% probability that our data occurred by chance, we again have statistical significance. Interestingly enough, our correlation coefficient for duration to calories burned is less than our correlation coefficient for average heart rate to calories burned (0.889 < 0.96). Although we can't say from our simple analysis that average heart rate is more correlated to calories burned than duration is (further analysis has to be done to determine whether the difference in correlation coefficient values is significant, and we also should get more data before making a conclusion!), it definitely reveals a question for further investigation!" ], "metadata": { "id": "zG5mILo_xBdG" } }, { "cell_type": "markdown", "source": [ "## 9.3. T test on activity intensity through workout\n", "\n", "We might also be interested in determining whether the participant exercises with different overall intensity at different halves of their sessions.\n", "\n", "Choosing on exercise session to focus on, we can use the T-test to see if the exercise intensity in the first half of the session is different from the intensity in the second half." ], "metadata": { "id": "F7W7D_Ba_RPb" } }, { "cell_type": "code", "source": [ "import pandas as pd\n", "import numpy as np\n", "from scipy.stats import ttest_ind\n", "\n", "def differ(df):\n", " rows = len(df.index)\n", " f = df.iloc[range(rows//2)][\"bpm\"]\n", " s = df.iloc[range(rows//2,rows)][\"bpm\"]\n", " return ttest_ind(f,s)\n", "\n", "print(differ(hr_df))" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "p2GcB-Y6AzLo", "outputId": "0c56532f-b96b-476a-dbf7-575a77c03fa6" }, "execution_count": null, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Ttest_indResult(statistic=-33.27175316357228, pvalue=6.677761019370051e-211)\n" ] } ] }, { "cell_type": "markdown", "source": [ "Since the t-test returned a negative value, the sample mean in the first half of the exercise session is less than the sample mean in the second half of the session. Further, since our pvalue is small (< 0.05), we can reject the null hypothesis and conclude that the the first half of the exercise tended to have lower heart rates than the second half." ], "metadata": { "id": "4--zRqufTaKt" } }, { "cell_type": "markdown", "source": [ "We can now repeat this process on multiple exercise sessions and visualize our findings in a plot, giving us a view of the participant's exercise habits (i.e. whether they tend to slow down throughout a session, or whether their intensity increases)." ], "metadata": { "id": "RkhVCf9-C23R" } }, { "cell_type": "code", "source": [ "import pandas as pd\n", "import numpy as np\n", "from scipy.stats import ttest_ind\n", "import matplotlib.pyplot as plt\n", "\n", "y = []\n", "x = df2[\"day\"]\n", "\n", "for df in hr_dfs:\n", " v,p = differ(df)\n", " if p < 0.05:\n", " y.append(v)\n", "\n", "plt.figure(figsize=(16,10))\n", "plt.plot(x, y, drawstyle=\"steps-mid\")\n", "plt.title(f\"T-test of exercise intensity between first half and second half of session from {start_date} to {datetime.strftime(end,'%Y-%m-%d')}\",fontsize=20)\n", "plt.xlabel(\"Time\")\n", "plt.ylabel(\"T-test of exercise intensity between first half and second half of session\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 669 }, "id": "8UTXXe3BDb-s", "outputId": "7c1facdf-0d71-4877-b312-2956d5110e35" }, "execution_count": null, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Text(0, 0.5, 'T-test of exercise intensity between first half and second half of session')" ] }, "metadata": {}, "execution_count": 73 }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" 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