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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "bff151dc-94eb-467a-b914-4ceb647bc775",
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns"
]
},
{
"cell_type": "markdown",
"id": "1e469e61-c3f9-4b3e-a19f-e70ad6bda1f7",
"metadata": {},
"source": [
"# Sleep Dataset"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "9f8b7efa-2aae-4b82-8a4c-f0e8a1d38904",
"metadata": {},
"outputs": [
{
"data": {
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>User First Name</th>\n",
" <th>Calendar Date (Local)</th>\n",
" <th>Start Time (Local)</th>\n",
" <th>End Time (Local)</th>\n",
" <th>Duration (s)</th>\n",
" <th>Rem Sleep Duration (s)</th>\n",
" <th>Deep Sleep Duration (s)</th>\n",
" <th>Light Sleep Duration (s)</th>\n",
" <th>Source</th>\n",
" <th>Sleep Efficiency</th>\n",
" <th>Sleep Score Value</th>\n",
" <th>Duration (h)</th>\n",
" <th>Deep Sleep Duration (h)</th>\n",
" <th>Light Sleep Duration (h)</th>\n",
" <th>Rem Sleep Duration (h)</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>7.766667</td>\n",
" <td>0.833333</td>\n",
" <td>4.60</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>7.766667</td>\n",
" <td>0.833333</td>\n",
" <td>4.60</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>7.766667</td>\n",
" <td>0.833333</td>\n",
" <td>4.60</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>7.766667</td>\n",
" <td>0.833333</td>\n",
" <td>4.60</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>7.766667</td>\n",
" <td>0.833333</td>\n",
" <td>4.60</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
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" <td>...</td>\n",
" <td>...</td>\n",
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" <tr>\n",
" <th>3791</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>7.550000</td>\n",
" <td>1.833333</td>\n",
" <td>4.55</td>\n",
" <td>1.150000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3792</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>7.550000</td>\n",
" <td>1.833333</td>\n",
" <td>4.55</td>\n",
" <td>1.150000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3793</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>7.550000</td>\n",
" <td>1.833333</td>\n",
" <td>4.55</td>\n",
" <td>1.150000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3794</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>7.550000</td>\n",
" <td>1.833333</td>\n",
" <td>4.55</td>\n",
" <td>1.150000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3795</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>7.550000</td>\n",
" <td>1.833333</td>\n",
" <td>4.55</td>\n",
" <td>1.150000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>3796 rows × 15 columns</p>\n",
"</div>"
],
"text/plain": [
" User First Name Calendar Date (Local) Start Time (Local) \\\n",
"0 P10 2023-12-22 2023-12-22T01:17:00 \n",
"1 P10 2023-12-22 2023-12-22T01:17:00 \n",
"2 P10 2023-12-22 2023-12-22T01:17:00 \n",
"3 P10 2023-12-22 2023-12-22T01:17:00 \n",
"4 P10 2023-12-22 2023-12-22T01:17:00 \n",
"... ... ... ... \n",
"3791 P14 2024-01-08 2024-01-08T00:01:00 \n",
"3792 P14 2024-01-08 2024-01-08T00:01:00 \n",
"3793 P14 2024-01-08 2024-01-08T00:01:00 \n",
"3794 P14 2024-01-08 2024-01-08T00:01:00 \n",
"3795 P14 2024-01-08 2024-01-08T00:01:00 \n",
"\n",
" End Time (Local) Duration (s) Rem Sleep Duration (s) \\\n",
"0 2023-12-22T09:03:00 27960 8400 \n",
"1 2023-12-22T09:03:00 27960 8400 \n",
"2 2023-12-22T09:03:00 27960 8400 \n",
"3 2023-12-22T09:03:00 27960 8400 \n",
"4 2023-12-22T09:03:00 27960 8400 \n",
"... ... ... ... \n",
"3791 2024-01-08T07:34:00 27180 4140 \n",
"3792 2024-01-08T07:34:00 27180 4140 \n",
"3793 2024-01-08T07:34:00 27180 4140 \n",
"3794 2024-01-08T07:34:00 27180 4140 \n",
"3795 2024-01-08T07:34:00 27180 4140 \n",
"\n",
" Deep Sleep Duration (s) Light Sleep Duration (s) Source \\\n",
"0 3000 16560 device \n",
"1 3000 16560 device \n",
"2 3000 16560 device \n",
"3 3000 16560 device \n",
"4 3000 16560 device \n",
"... ... ... ... \n",
"3791 6600 16380 device \n",
"3792 6600 16380 device \n",
"3793 6600 16380 device \n",
"3794 6600 16380 device \n",
"3795 6600 16380 device \n",
"\n",
" Sleep Efficiency Sleep Score Value Duration (h) \\\n",
"0 1.000000 94.0 7.766667 \n",
"1 1.000000 94.0 7.766667 \n",
"2 1.000000 94.0 7.766667 \n",
"3 1.000000 94.0 7.766667 \n",
"4 1.000000 94.0 7.766667 \n",
"... ... ... ... \n",
"3791 0.997792 92.0 7.550000 \n",
"3792 0.997792 92.0 7.550000 \n",
"3793 0.997792 92.0 7.550000 \n",
"3794 0.997792 92.0 7.550000 \n",
"3795 0.997792 92.0 7.550000 \n",
"\n",
" Deep Sleep Duration (h) Light Sleep Duration (h) \\\n",
"0 0.833333 4.60 \n",
"1 0.833333 4.60 \n",
"2 0.833333 4.60 \n",
"3 0.833333 4.60 \n",
"4 0.833333 4.60 \n",
"... ... ... \n",
"3791 1.833333 4.55 \n",
"3792 1.833333 4.55 \n",
"3793 1.833333 4.55 \n",
"3794 1.833333 4.55 \n",
"3795 1.833333 4.55 \n",
"\n",
" Rem Sleep Duration (h) \n",
"0 2.333333 \n",
"1 2.333333 \n",
"2 2.333333 \n",
"3 2.333333 \n",
"4 2.333333 \n",
"... ... \n",
"3791 1.150000 \n",
"3792 1.150000 \n",
"3793 1.150000 \n",
"3794 1.150000 \n",
"3795 1.150000 \n",
"\n",
"[3796 rows x 15 columns]"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Load dataset\n",
"s_df = pd.read_csv('../data/garmin/sleep.csv', sep=',')\n",
"\n",
"# Trim columns\n",
"s_df = s_df.loc[:, ['User First Name', 'Calendar Date (Local)', 'Start Time (Local)', 'End Time (Local)', 'Duration (s)', 'Rem Sleep Duration (s)', 'Deep Sleep Duration (s)', 'Light Sleep Duration (s)', 'Source', 'Sleep Efficiency', 'Sleep Score Value']]\n",
"\n",
"# Convert data types\n",
"s_df['Calendar Date (Local)'] = pd.to_datetime(s_df['Calendar Date (Local)'])\n",
"\n",
"# Add column with calculated sleep hours\n",
"s_df['Duration (h)'] = s_df['Duration (s)'] / 60 / 60\n",
"s_df['Deep Sleep Duration (h)'] = s_df['Deep Sleep Duration (s)'] / 60 / 60\n",
"s_df['Light Sleep Duration (h)'] = s_df['Light Sleep Duration (s)'] / 60 / 60\n",
"s_df['Rem Sleep Duration (h)'] = s_df['Rem Sleep Duration (s)'] / 60 / 60\n",
"\n",
"s_df"
]
},
{
"cell_type": "markdown",
"id": "ffd2c508-6991-40ce-8e5c-53110cd7287d",
"metadata": {},
"source": [
"## Comparison between individuals"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "cce564be-deb4-46b1-83ce-a4f32604d142",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['P10' 'P11' 'P12' 'P14']\n"
]
},
{
"data": {
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>User First Name</th>\n",
" <th>Calendar Date (Local)</th>\n",
" <th>Start Time (Local)</th>\n",
" <th>End Time (Local)</th>\n",
" <th>Duration (s)</th>\n",
" <th>Rem Sleep Duration (s)</th>\n",
" <th>Deep Sleep Duration (s)</th>\n",
" <th>Light Sleep Duration (s)</th>\n",
" <th>Source</th>\n",
" <th>Sleep Efficiency</th>\n",
" <th>Sleep Score Value</th>\n",
" <th>Duration (h)</th>\n",
" <th>Deep Sleep Duration (h)</th>\n",
" <th>Light Sleep Duration (h)</th>\n",
" <th>Rem Sleep Duration (h)</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>7.766667</td>\n",
" <td>0.833333</td>\n",
" <td>4.600000</td>\n",
" <td>2.333333</td>\n",
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" <tr>\n",
" <th>196</th>\n",
" <td>P10</td>\n",
" <td>2023-12-24</td>\n",
" <td>2023-12-24T01:13:00</td>\n",
" <td>2023-12-24T08:56:00</td>\n",
" <td>27780</td>\n",
" <td>6000</td>\n",
" <td>5580</td>\n",
" <td>15060</td>\n",
" <td>device</td>\n",
" <td>0.958963</td>\n",
" <td>81.0</td>\n",
" <td>7.716667</td>\n",
" <td>1.550000</td>\n",
" <td>4.183333</td>\n",
" <td>1.666667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>276</th>\n",
" <td>P10</td>\n",
" <td>2023-12-25</td>\n",
" <td>2023-12-25T01:07:00</td>\n",
" <td>2023-12-25T09:41:00</td>\n",
" <td>30840</td>\n",
" <td>11160</td>\n",
" <td>6780</td>\n",
" <td>12900</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>91.0</td>\n",
" <td>8.566667</td>\n",
" <td>1.883333</td>\n",
" <td>3.583333</td>\n",
" <td>3.100000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>320</th>\n",
" <td>P10</td>\n",
" <td>2023-12-26</td>\n",
" <td>2023-12-26T01:50:00</td>\n",
" <td>2023-12-26T09:03:00</td>\n",
" <td>25980</td>\n",
" <td>6960</td>\n",
" <td>6240</td>\n",
" <td>12780</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>90.0</td>\n",
" <td>7.216667</td>\n",
" <td>1.733333</td>\n",
" <td>3.550000</td>\n",
" <td>1.933333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>339</th>\n",
" <td>P10</td>\n",
" <td>2023-12-27</td>\n",
" <td>2023-12-27T01:20:00</td>\n",
" <td>2023-12-27T09:16:00</td>\n",
" <td>28560</td>\n",
" <td>8040</td>\n",
" <td>5460</td>\n",
" <td>14640</td>\n",
" <td>device</td>\n",
" <td>0.985294</td>\n",
" <td>98.0</td>\n",
" <td>7.933333</td>\n",
" <td>1.516667</td>\n",
" <td>4.066667</td>\n",
" <td>2.233333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>363</th>\n",
" <td>P10</td>\n",
" <td>2023-12-28</td>\n",
" <td>2023-12-28T00:54:00</td>\n",
" <td>2023-12-28T08:48:00</td>\n",
" <td>28440</td>\n",
" <td>6660</td>\n",
" <td>6960</td>\n",
" <td>14280</td>\n",
" <td>device</td>\n",
" <td>0.981013</td>\n",
" <td>91.0</td>\n",
" <td>7.900000</td>\n",
" <td>1.933333</td>\n",
" <td>3.966667</td>\n",
" <td>1.850000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>405</th>\n",
" <td>P10</td>\n",
" <td>2023-12-29</td>\n",
" <td>2023-12-29T23:54:00</td>\n",
" <td>2023-12-30T08:58:00</td>\n",
" <td>32640</td>\n",
" <td>9660</td>\n",
" <td>3360</td>\n",
" <td>19560</td>\n",
" <td>device</td>\n",
" <td>0.998162</td>\n",
" <td>91.0</td>\n",
" <td>9.066667</td>\n",
" <td>0.933333</td>\n",
" <td>5.433333</td>\n",
" <td>2.683333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>419</th>\n",
" <td>P10</td>\n",
" <td>2023-12-31</td>\n",
" <td>2023-12-31T00:40:00</td>\n",
" <td>2023-12-31T09:08:00</td>\n",
" <td>30480</td>\n",
" <td>10680</td>\n",
" <td>7620</td>\n",
" <td>12060</td>\n",
" <td>device</td>\n",
" <td>0.996063</td>\n",
" <td>94.0</td>\n",
" <td>8.466667</td>\n",
" <td>2.116667</td>\n",
" <td>3.350000</td>\n",
" <td>2.966667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>514</th>\n",
" <td>P10</td>\n",
" <td>2024-01-02</td>\n",
" <td>2024-01-02T00:22:00</td>\n",
" <td>2024-01-02T09:27:00</td>\n",
" <td>32700</td>\n",
" <td>19920</td>\n",
" <td>10080</td>\n",
" <td>35280</td>\n",
" <td>device</td>\n",
" <td>0.996330</td>\n",
" <td>93.0</td>\n",
" <td>9.083333</td>\n",
" <td>2.800000</td>\n",
" <td>9.800000</td>\n",
" <td>5.533333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>661</th>\n",
" <td>P10</td>\n",
" <td>2024-01-04</td>\n",
" <td>2024-01-04T01:32:00</td>\n",
" <td>2024-01-04T09:25:00</td>\n",
" <td>28380</td>\n",
" <td>8640</td>\n",
" <td>5400</td>\n",
" <td>14340</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>91.0</td>\n",
" <td>7.883333</td>\n",
" <td>1.500000</td>\n",
" <td>3.983333</td>\n",
" <td>2.400000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>678</th>\n",
" <td>P11</td>\n",
" <td>2023-12-29</td>\n",
" <td>2023-12-29T01:30:00</td>\n",
" <td>2023-12-29T08:50:00</td>\n",
" <td>26400</td>\n",
" <td>5220</td>\n",
" <td>6660</td>\n",
" <td>11640</td>\n",
" <td>device</td>\n",
" <td>0.890909</td>\n",
" <td>76.0</td>\n",
" <td>7.333333</td>\n",
" <td>1.850000</td>\n",
" <td>3.233333</td>\n",
" <td>1.450000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>702</th>\n",
" <td>P11</td>\n",
" <td>2023-12-30</td>\n",
" <td>2023-12-30T02:32:00</td>\n",
" <td>2023-12-30T08:17:00</td>\n",
" <td>20700</td>\n",
" <td>2940</td>\n",
" <td>3960</td>\n",
" <td>10680</td>\n",
" <td>device</td>\n",
" <td>0.849275</td>\n",
" <td>64.0</td>\n",
" <td>5.750000</td>\n",
" <td>1.100000</td>\n",
" <td>2.966667</td>\n",
" <td>0.816667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>721</th>\n",
" <td>P11</td>\n",
" <td>2023-12-31</td>\n",
" <td>2023-12-31T02:51:00</td>\n",
" <td>2023-12-31T07:42:00</td>\n",
" <td>17460</td>\n",
" <td>3960</td>\n",
" <td>3360</td>\n",
" <td>9120</td>\n",
" <td>device</td>\n",
" <td>0.941581</td>\n",
" <td>62.0</td>\n",
" <td>4.850000</td>\n",
" <td>0.933333</td>\n",
" <td>2.533333</td>\n",
" <td>1.100000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>783</th>\n",
" <td>P11</td>\n",
" <td>2024-01-03</td>\n",
" <td>2024-01-03T01:45:00</td>\n",
" <td>2024-01-03T08:01:00</td>\n",
" <td>22560</td>\n",
" <td>4020</td>\n",
" <td>6240</td>\n",
" <td>10380</td>\n",
" <td>device</td>\n",
" <td>0.914894</td>\n",
" <td>47.0</td>\n",
" <td>6.266667</td>\n",
" <td>1.733333</td>\n",
" <td>2.883333</td>\n",
" <td>1.116667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>796</th>\n",
" <td>P11</td>\n",
" <td>2024-01-04</td>\n",
" <td>2024-01-04T00:49:00</td>\n",
" <td>2024-01-04T08:05:00</td>\n",
" <td>26160</td>\n",
" <td>7200</td>\n",
" <td>9720</td>\n",
" <td>27480</td>\n",
" <td>device</td>\n",
" <td>0.697248</td>\n",
" <td>69.0</td>\n",
" <td>7.266667</td>\n",
" <td>2.700000</td>\n",
" <td>7.633333</td>\n",
" <td>2.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>939</th>\n",
" <td>P11</td>\n",
" <td>2024-01-05</td>\n",
" <td>2024-01-05T01:28:00</td>\n",
" <td>2024-01-05T09:10:00</td>\n",
" <td>27720</td>\n",
" <td>6420</td>\n",
" <td>7680</td>\n",
" <td>11100</td>\n",
" <td>device</td>\n",
" <td>0.909091</td>\n",
" <td>74.0</td>\n",
" <td>7.700000</td>\n",
" <td>2.133333</td>\n",
" <td>3.083333</td>\n",
" <td>1.783333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1289</th>\n",
" <td>P12</td>\n",
" <td>2023-12-23</td>\n",
" <td>2023-12-23T00:52:00</td>\n",
" <td>2023-12-23T08:45:00</td>\n",
" <td>28380</td>\n",
" <td>48240</td>\n",
" <td>31680</td>\n",
" <td>172800</td>\n",
" <td>device</td>\n",
" <td>-0.902748</td>\n",
" <td>67.0</td>\n",
" <td>7.883333</td>\n",
" <td>8.800000</td>\n",
" <td>48.000000</td>\n",
" <td>13.400000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2061</th>\n",
" <td>P12</td>\n",
" <td>2023-12-24</td>\n",
" <td>2023-12-24T00:48:00</td>\n",
" <td>2023-12-24T05:14:40</td>\n",
" <td>16000</td>\n",
" <td>2200</td>\n",
" <td>5040</td>\n",
" <td>7500</td>\n",
" <td>device</td>\n",
" <td>0.996250</td>\n",
" <td>56.0</td>\n",
" <td>4.444444</td>\n",
" <td>1.400000</td>\n",
" <td>2.083333</td>\n",
" <td>0.611111</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2073</th>\n",
" <td>P12</td>\n",
" <td>2023-12-25</td>\n",
" <td>2023-12-25T00:31:00</td>\n",
" <td>2023-12-25T10:21:00</td>\n",
" <td>35400</td>\n",
" <td>7200</td>\n",
" <td>3600</td>\n",
" <td>19920</td>\n",
" <td>device</td>\n",
" <td>0.947458</td>\n",
" <td>89.0</td>\n",
" <td>9.833333</td>\n",
" <td>1.000000</td>\n",
" <td>5.533333</td>\n",
" <td>2.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2101</th>\n",
" <td>P12</td>\n",
" <td>2023-12-26</td>\n",
" <td>2023-12-26T01:06:00</td>\n",
" <td>2023-12-26T09:38:00</td>\n",
" <td>30720</td>\n",
" <td>2400</td>\n",
" <td>3600</td>\n",
" <td>20100</td>\n",
" <td>device</td>\n",
" <td>0.882812</td>\n",
" <td>65.0</td>\n",
" <td>8.533333</td>\n",
" <td>1.000000</td>\n",
" <td>5.583333</td>\n",
" <td>0.666667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2134</th>\n",
" <td>P12</td>\n",
" <td>2023-12-27</td>\n",
" <td>2023-12-27T00:27:00</td>\n",
" <td>2023-12-27T07:52:00</td>\n",
" <td>26700</td>\n",
" <td>6720</td>\n",
" <td>4140</td>\n",
" <td>14640</td>\n",
" <td>device</td>\n",
" <td>0.955056</td>\n",
" <td>85.0</td>\n",
" <td>7.416667</td>\n",
" <td>1.150000</td>\n",
" <td>4.066667</td>\n",
" <td>1.866667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2170</th>\n",
" <td>P12</td>\n",
" <td>2023-12-28</td>\n",
" <td>2023-12-28T01:13:00</td>\n",
" <td>2023-12-28T07:31:00</td>\n",
" <td>22680</td>\n",
" <td>4380</td>\n",
" <td>6240</td>\n",
" <td>12060</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>79.0</td>\n",
" <td>6.300000</td>\n",
" <td>1.733333</td>\n",
" <td>3.350000</td>\n",
" <td>1.216667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2187</th>\n",
" <td>P12</td>\n",
" <td>2023-12-29</td>\n",
" <td>2023-12-29T01:14:00</td>\n",
" <td>2023-12-29T08:58:00</td>\n",
" <td>27840</td>\n",
" <td>6120</td>\n",
" <td>5160</td>\n",
" <td>14100</td>\n",
" <td>device</td>\n",
" <td>0.911638</td>\n",
" <td>78.0</td>\n",
" <td>7.733333</td>\n",
" <td>1.433333</td>\n",
" <td>3.916667</td>\n",
" <td>1.700000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2212</th>\n",
" <td>P12</td>\n",
" <td>2023-12-30</td>\n",
" <td>2023-12-30T03:16:00</td>\n",
" <td>2023-12-30T11:35:00</td>\n",
" <td>29940</td>\n",
" <td>5040</td>\n",
" <td>4380</td>\n",
" <td>13800</td>\n",
" <td>device</td>\n",
" <td>0.843687</td>\n",
" <td>79.0</td>\n",
" <td>8.316667</td>\n",
" <td>1.216667</td>\n",
" <td>3.833333</td>\n",
" <td>1.400000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2233</th>\n",
" <td>P12</td>\n",
" <td>2023-12-31</td>\n",
" <td>2023-12-31T02:16:00</td>\n",
" <td>2023-12-31T11:40:00</td>\n",
" <td>33840</td>\n",
" <td>8400</td>\n",
" <td>3780</td>\n",
" <td>18840</td>\n",
" <td>device</td>\n",
" <td>0.932624</td>\n",
" <td>84.0</td>\n",
" <td>9.400000</td>\n",
" <td>1.050000</td>\n",
" <td>5.233333</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2266</th>\n",
" <td>P12</td>\n",
" <td>2024-01-01</td>\n",
" <td>2024-01-01T02:20:00</td>\n",
" <td>2024-01-01T09:42:00</td>\n",
" <td>26520</td>\n",
" <td>3000</td>\n",
" <td>9000</td>\n",
" <td>30720</td>\n",
" <td>device</td>\n",
" <td>0.610860</td>\n",
" <td>41.0</td>\n",
" <td>7.366667</td>\n",
" <td>2.500000</td>\n",
" <td>8.533333</td>\n",
" <td>0.833333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2365</th>\n",
" <td>P12</td>\n",
" <td>2024-01-03</td>\n",
" <td>2024-01-03T02:24:00</td>\n",
" <td>2024-01-03T09:01:00</td>\n",
" <td>23820</td>\n",
" <td>3660</td>\n",
" <td>5220</td>\n",
" <td>13200</td>\n",
" <td>device</td>\n",
" <td>0.959698</td>\n",
" <td>77.0</td>\n",
" <td>6.616667</td>\n",
" <td>1.450000</td>\n",
" <td>3.666667</td>\n",
" <td>1.016667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2382</th>\n",
" <td>P12</td>\n",
" <td>2024-01-04</td>\n",
" <td>2024-01-04T01:07:00</td>\n",
" <td>2024-01-04T06:13:00</td>\n",
" <td>18360</td>\n",
" <td>7200</td>\n",
" <td>17040</td>\n",
" <td>31920</td>\n",
" <td>device</td>\n",
" <td>0.777778</td>\n",
" <td>32.0</td>\n",
" <td>5.100000</td>\n",
" <td>4.733333</td>\n",
" <td>8.866667</td>\n",
" <td>2.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2709</th>\n",
" <td>P14</td>\n",
" <td>2023-12-21</td>\n",
" <td>2023-12-21T23:42:00</td>\n",
" <td>2023-12-22T07:36:00</td>\n",
" <td>28440</td>\n",
" <td>7980</td>\n",
" <td>3420</td>\n",
" <td>16320</td>\n",
" <td>device</td>\n",
" <td>0.974684</td>\n",
" <td>92.0</td>\n",
" <td>7.900000</td>\n",
" <td>0.950000</td>\n",
" <td>4.533333</td>\n",
" <td>2.216667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2732</th>\n",
" <td>P14</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T22:50:00</td>\n",
" <td>2023-12-23T06:16:00</td>\n",
" <td>26760</td>\n",
" <td>5460</td>\n",
" <td>5940</td>\n",
" <td>15240</td>\n",
" <td>device</td>\n",
" <td>0.995516</td>\n",
" <td>93.0</td>\n",
" <td>7.433333</td>\n",
" <td>1.650000</td>\n",
" <td>4.233333</td>\n",
" <td>1.516667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2752</th>\n",
" <td>P14</td>\n",
" <td>2023-12-24</td>\n",
" <td>2023-12-24T00:05:00</td>\n",
" <td>2023-12-24T09:45:00</td>\n",
" <td>34800</td>\n",
" <td>10080</td>\n",
" <td>5760</td>\n",
" <td>18780</td>\n",
" <td>device</td>\n",
" <td>0.994828</td>\n",
" <td>94.0</td>\n",
" <td>9.666667</td>\n",
" <td>1.600000</td>\n",
" <td>5.216667</td>\n",
" <td>2.800000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2784</th>\n",
" <td>P14</td>\n",
" <td>2023-12-25</td>\n",
" <td>2023-12-25T00:10:00</td>\n",
" <td>2023-12-25T08:52:00</td>\n",
" <td>31320</td>\n",
" <td>5640</td>\n",
" <td>4380</td>\n",
" <td>20580</td>\n",
" <td>device</td>\n",
" <td>0.977012</td>\n",
" <td>89.0</td>\n",
" <td>8.700000</td>\n",
" <td>1.216667</td>\n",
" <td>5.716667</td>\n",
" <td>1.566667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2804</th>\n",
" <td>P14</td>\n",
" <td>2023-12-26</td>\n",
" <td>2023-12-26T00:03:00</td>\n",
" <td>2023-12-26T09:58:00</td>\n",
" <td>35700</td>\n",
" <td>8400</td>\n",
" <td>5040</td>\n",
" <td>22020</td>\n",
" <td>device</td>\n",
" <td>0.993277</td>\n",
" <td>91.0</td>\n",
" <td>9.916667</td>\n",
" <td>1.400000</td>\n",
" <td>6.116667</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2849</th>\n",
" <td>P14</td>\n",
" <td>2023-12-27</td>\n",
" <td>2023-12-27T02:06:00</td>\n",
" <td>2023-12-27T07:03:55</td>\n",
" <td>17875</td>\n",
" <td>3955</td>\n",
" <td>1740</td>\n",
" <td>12060</td>\n",
" <td>device</td>\n",
" <td>0.993287</td>\n",
" <td>NaN</td>\n",
" <td>4.965278</td>\n",
" <td>0.483333</td>\n",
" <td>3.350000</td>\n",
" <td>1.098611</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3074</th>\n",
" <td>P14</td>\n",
" <td>2023-12-28</td>\n",
" <td>2023-12-28T01:44:00</td>\n",
" <td>2023-12-28T08:08:00</td>\n",
" <td>23040</td>\n",
" <td>8280</td>\n",
" <td>1980</td>\n",
" <td>12780</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>NaN</td>\n",
" <td>6.400000</td>\n",
" <td>0.550000</td>\n",
" <td>3.550000</td>\n",
" <td>2.300000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3453</th>\n",
" <td>P14</td>\n",
" <td>2023-12-29</td>\n",
" <td>2023-12-29T00:56:00</td>\n",
" <td>2023-12-29T08:55:00</td>\n",
" <td>28740</td>\n",
" <td>9300</td>\n",
" <td>2160</td>\n",
" <td>15720</td>\n",
" <td>device</td>\n",
" <td>0.945720</td>\n",
" <td>NaN</td>\n",
" <td>7.983333</td>\n",
" <td>0.600000</td>\n",
" <td>4.366667</td>\n",
" <td>2.583333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3620</th>\n",
" <td>P14</td>\n",
" <td>2023-12-30</td>\n",
" <td>2023-12-30T00:18:00</td>\n",
" <td>2023-12-30T09:02:00</td>\n",
" <td>31440</td>\n",
" <td>6900</td>\n",
" <td>7320</td>\n",
" <td>16800</td>\n",
" <td>device</td>\n",
" <td>0.986641</td>\n",
" <td>95.0</td>\n",
" <td>8.733333</td>\n",
" <td>2.033333</td>\n",
" <td>4.666667</td>\n",
" <td>1.916667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3642</th>\n",
" <td>P14</td>\n",
" <td>2023-12-31</td>\n",
" <td>2023-12-31T01:01:00</td>\n",
" <td>2023-12-31T09:13:00</td>\n",
" <td>29520</td>\n",
" <td>5160</td>\n",
" <td>5460</td>\n",
" <td>18000</td>\n",
" <td>device</td>\n",
" <td>0.969512</td>\n",
" <td>91.0</td>\n",
" <td>8.200000</td>\n",
" <td>1.516667</td>\n",
" <td>5.000000</td>\n",
" <td>1.433333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3668</th>\n",
" <td>P14</td>\n",
" <td>2024-01-01</td>\n",
" <td>2024-01-01T02:37:00</td>\n",
" <td>2024-01-01T09:56:00</td>\n",
" <td>26340</td>\n",
" <td>6300</td>\n",
" <td>6240</td>\n",
" <td>12960</td>\n",
" <td>device</td>\n",
" <td>0.968109</td>\n",
" <td>83.0</td>\n",
" <td>7.316667</td>\n",
" <td>1.733333</td>\n",
" <td>3.600000</td>\n",
" <td>1.750000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3704</th>\n",
" <td>P14</td>\n",
" <td>2024-01-02</td>\n",
" <td>2024-01-02T23:43:00</td>\n",
" <td>2024-01-03T07:31:00</td>\n",
" <td>28080</td>\n",
" <td>4260</td>\n",
" <td>4500</td>\n",
" <td>18960</td>\n",
" <td>device</td>\n",
" <td>0.987179</td>\n",
" <td>90.0</td>\n",
" <td>7.800000</td>\n",
" <td>1.250000</td>\n",
" <td>5.266667</td>\n",
" <td>1.183333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3718</th>\n",
" <td>P14</td>\n",
" <td>2024-01-03</td>\n",
" <td>2024-01-03T23:42:00</td>\n",
" <td>2024-01-04T07:16:00</td>\n",
" <td>27240</td>\n",
" <td>6360</td>\n",
" <td>3360</td>\n",
" <td>17520</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>82.0</td>\n",
" <td>7.566667</td>\n",
" <td>0.933333</td>\n",
" <td>4.866667</td>\n",
" <td>1.766667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3732</th>\n",
" <td>P14</td>\n",
" <td>2024-01-04</td>\n",
" <td>2024-01-04T22:38:00</td>\n",
" <td>2024-01-05T06:16:00</td>\n",
" <td>27480</td>\n",
" <td>5040</td>\n",
" <td>4740</td>\n",
" <td>17700</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>93.0</td>\n",
" <td>7.633333</td>\n",
" <td>1.316667</td>\n",
" <td>4.916667</td>\n",
" <td>1.400000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3743</th>\n",
" <td>P14</td>\n",
" <td>2024-01-05</td>\n",
" <td>2024-01-05T23:22:00</td>\n",
" <td>2024-01-06T06:59:00</td>\n",
" <td>27420</td>\n",
" <td>8880</td>\n",
" <td>12120</td>\n",
" <td>33720</td>\n",
" <td>device</td>\n",
" <td>0.995624</td>\n",
" <td>89.0</td>\n",
" <td>7.616667</td>\n",
" <td>3.366667</td>\n",
" <td>9.366667</td>\n",
" <td>2.466667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3780</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>7.550000</td>\n",
" <td>1.833333</td>\n",
" <td>4.550000</td>\n",
" <td>1.150000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" User First Name Calendar Date (Local) Start Time (Local) \\\n",
"0 P10 2023-12-22 2023-12-22T01:17:00 \n",
"196 P10 2023-12-24 2023-12-24T01:13:00 \n",
"276 P10 2023-12-25 2023-12-25T01:07:00 \n",
"320 P10 2023-12-26 2023-12-26T01:50:00 \n",
"339 P10 2023-12-27 2023-12-27T01:20:00 \n",
"363 P10 2023-12-28 2023-12-28T00:54:00 \n",
"405 P10 2023-12-29 2023-12-29T23:54:00 \n",
"419 P10 2023-12-31 2023-12-31T00:40:00 \n",
"514 P10 2024-01-02 2024-01-02T00:22:00 \n",
"661 P10 2024-01-04 2024-01-04T01:32:00 \n",
"678 P11 2023-12-29 2023-12-29T01:30:00 \n",
"702 P11 2023-12-30 2023-12-30T02:32:00 \n",
"721 P11 2023-12-31 2023-12-31T02:51:00 \n",
"783 P11 2024-01-03 2024-01-03T01:45:00 \n",
"796 P11 2024-01-04 2024-01-04T00:49:00 \n",
"939 P11 2024-01-05 2024-01-05T01:28:00 \n",
"1289 P12 2023-12-23 2023-12-23T00:52:00 \n",
"2061 P12 2023-12-24 2023-12-24T00:48:00 \n",
"2073 P12 2023-12-25 2023-12-25T00:31:00 \n",
"2101 P12 2023-12-26 2023-12-26T01:06:00 \n",
"2134 P12 2023-12-27 2023-12-27T00:27:00 \n",
"2170 P12 2023-12-28 2023-12-28T01:13:00 \n",
"2187 P12 2023-12-29 2023-12-29T01:14:00 \n",
"2212 P12 2023-12-30 2023-12-30T03:16:00 \n",
"2233 P12 2023-12-31 2023-12-31T02:16:00 \n",
"2266 P12 2024-01-01 2024-01-01T02:20:00 \n",
"2365 P12 2024-01-03 2024-01-03T02:24:00 \n",
"2382 P12 2024-01-04 2024-01-04T01:07:00 \n",
"2709 P14 2023-12-21 2023-12-21T23:42:00 \n",
"2732 P14 2023-12-22 2023-12-22T22:50:00 \n",
"2752 P14 2023-12-24 2023-12-24T00:05:00 \n",
"2784 P14 2023-12-25 2023-12-25T00:10:00 \n",
"2804 P14 2023-12-26 2023-12-26T00:03:00 \n",
"2849 P14 2023-12-27 2023-12-27T02:06:00 \n",
"3074 P14 2023-12-28 2023-12-28T01:44:00 \n",
"3453 P14 2023-12-29 2023-12-29T00:56:00 \n",
"3620 P14 2023-12-30 2023-12-30T00:18:00 \n",
"3642 P14 2023-12-31 2023-12-31T01:01:00 \n",
"3668 P14 2024-01-01 2024-01-01T02:37:00 \n",
"3704 P14 2024-01-02 2024-01-02T23:43:00 \n",
"3718 P14 2024-01-03 2024-01-03T23:42:00 \n",
"3732 P14 2024-01-04 2024-01-04T22:38:00 \n",
"3743 P14 2024-01-05 2024-01-05T23:22:00 \n",
"3780 P14 2024-01-08 2024-01-08T00:01:00 \n",
"\n",
" End Time (Local) Duration (s) Rem Sleep Duration (s) \\\n",
"0 2023-12-22T09:03:00 27960 8400 \n",
"196 2023-12-24T08:56:00 27780 6000 \n",
"276 2023-12-25T09:41:00 30840 11160 \n",
"320 2023-12-26T09:03:00 25980 6960 \n",
"339 2023-12-27T09:16:00 28560 8040 \n",
"363 2023-12-28T08:48:00 28440 6660 \n",
"405 2023-12-30T08:58:00 32640 9660 \n",
"419 2023-12-31T09:08:00 30480 10680 \n",
"514 2024-01-02T09:27:00 32700 19920 \n",
"661 2024-01-04T09:25:00 28380 8640 \n",
"678 2023-12-29T08:50:00 26400 5220 \n",
"702 2023-12-30T08:17:00 20700 2940 \n",
"721 2023-12-31T07:42:00 17460 3960 \n",
"783 2024-01-03T08:01:00 22560 4020 \n",
"796 2024-01-04T08:05:00 26160 7200 \n",
"939 2024-01-05T09:10:00 27720 6420 \n",
"1289 2023-12-23T08:45:00 28380 48240 \n",
"2061 2023-12-24T05:14:40 16000 2200 \n",
"2073 2023-12-25T10:21:00 35400 7200 \n",
"2101 2023-12-26T09:38:00 30720 2400 \n",
"2134 2023-12-27T07:52:00 26700 6720 \n",
"2170 2023-12-28T07:31:00 22680 4380 \n",
"2187 2023-12-29T08:58:00 27840 6120 \n",
"2212 2023-12-30T11:35:00 29940 5040 \n",
"2233 2023-12-31T11:40:00 33840 8400 \n",
"2266 2024-01-01T09:42:00 26520 3000 \n",
"2365 2024-01-03T09:01:00 23820 3660 \n",
"2382 2024-01-04T06:13:00 18360 7200 \n",
"2709 2023-12-22T07:36:00 28440 7980 \n",
"2732 2023-12-23T06:16:00 26760 5460 \n",
"2752 2023-12-24T09:45:00 34800 10080 \n",
"2784 2023-12-25T08:52:00 31320 5640 \n",
"2804 2023-12-26T09:58:00 35700 8400 \n",
"2849 2023-12-27T07:03:55 17875 3955 \n",
"3074 2023-12-28T08:08:00 23040 8280 \n",
"3453 2023-12-29T08:55:00 28740 9300 \n",
"3620 2023-12-30T09:02:00 31440 6900 \n",
"3642 2023-12-31T09:13:00 29520 5160 \n",
"3668 2024-01-01T09:56:00 26340 6300 \n",
"3704 2024-01-03T07:31:00 28080 4260 \n",
"3718 2024-01-04T07:16:00 27240 6360 \n",
"3732 2024-01-05T06:16:00 27480 5040 \n",
"3743 2024-01-06T06:59:00 27420 8880 \n",
"3780 2024-01-08T07:34:00 27180 4140 \n",
"\n",
" Deep Sleep Duration (s) Light Sleep Duration (s) Source \\\n",
"0 3000 16560 device \n",
"196 5580 15060 device \n",
"276 6780 12900 device \n",
"320 6240 12780 device \n",
"339 5460 14640 device \n",
"363 6960 14280 device \n",
"405 3360 19560 device \n",
"419 7620 12060 device \n",
"514 10080 35280 device \n",
"661 5400 14340 device \n",
"678 6660 11640 device \n",
"702 3960 10680 device \n",
"721 3360 9120 device \n",
"783 6240 10380 device \n",
"796 9720 27480 device \n",
"939 7680 11100 device \n",
"1289 31680 172800 device \n",
"2061 5040 7500 device \n",
"2073 3600 19920 device \n",
"2101 3600 20100 device \n",
"2134 4140 14640 device \n",
"2170 6240 12060 device \n",
"2187 5160 14100 device \n",
"2212 4380 13800 device \n",
"2233 3780 18840 device \n",
"2266 9000 30720 device \n",
"2365 5220 13200 device \n",
"2382 17040 31920 device \n",
"2709 3420 16320 device \n",
"2732 5940 15240 device \n",
"2752 5760 18780 device \n",
"2784 4380 20580 device \n",
"2804 5040 22020 device \n",
"2849 1740 12060 device \n",
"3074 1980 12780 device \n",
"3453 2160 15720 device \n",
"3620 7320 16800 device \n",
"3642 5460 18000 device \n",
"3668 6240 12960 device \n",
"3704 4500 18960 device \n",
"3718 3360 17520 device \n",
"3732 4740 17700 device \n",
"3743 12120 33720 device \n",
"3780 6600 16380 device \n",
"\n",
" Sleep Efficiency Sleep Score Value Duration (h) \\\n",
"0 1.000000 94.0 7.766667 \n",
"196 0.958963 81.0 7.716667 \n",
"276 1.000000 91.0 8.566667 \n",
"320 1.000000 90.0 7.216667 \n",
"339 0.985294 98.0 7.933333 \n",
"363 0.981013 91.0 7.900000 \n",
"405 0.998162 91.0 9.066667 \n",
"419 0.996063 94.0 8.466667 \n",
"514 0.996330 93.0 9.083333 \n",
"661 1.000000 91.0 7.883333 \n",
"678 0.890909 76.0 7.333333 \n",
"702 0.849275 64.0 5.750000 \n",
"721 0.941581 62.0 4.850000 \n",
"783 0.914894 47.0 6.266667 \n",
"796 0.697248 69.0 7.266667 \n",
"939 0.909091 74.0 7.700000 \n",
"1289 -0.902748 67.0 7.883333 \n",
"2061 0.996250 56.0 4.444444 \n",
"2073 0.947458 89.0 9.833333 \n",
"2101 0.882812 65.0 8.533333 \n",
"2134 0.955056 85.0 7.416667 \n",
"2170 1.000000 79.0 6.300000 \n",
"2187 0.911638 78.0 7.733333 \n",
"2212 0.843687 79.0 8.316667 \n",
"2233 0.932624 84.0 9.400000 \n",
"2266 0.610860 41.0 7.366667 \n",
"2365 0.959698 77.0 6.616667 \n",
"2382 0.777778 32.0 5.100000 \n",
"2709 0.974684 92.0 7.900000 \n",
"2732 0.995516 93.0 7.433333 \n",
"2752 0.994828 94.0 9.666667 \n",
"2784 0.977012 89.0 8.700000 \n",
"2804 0.993277 91.0 9.916667 \n",
"2849 0.993287 NaN 4.965278 \n",
"3074 1.000000 NaN 6.400000 \n",
"3453 0.945720 NaN 7.983333 \n",
"3620 0.986641 95.0 8.733333 \n",
"3642 0.969512 91.0 8.200000 \n",
"3668 0.968109 83.0 7.316667 \n",
"3704 0.987179 90.0 7.800000 \n",
"3718 1.000000 82.0 7.566667 \n",
"3732 1.000000 93.0 7.633333 \n",
"3743 0.995624 89.0 7.616667 \n",
"3780 0.997792 92.0 7.550000 \n",
"\n",
" Deep Sleep Duration (h) Light Sleep Duration (h) \\\n",
"0 0.833333 4.600000 \n",
"196 1.550000 4.183333 \n",
"276 1.883333 3.583333 \n",
"320 1.733333 3.550000 \n",
"339 1.516667 4.066667 \n",
"363 1.933333 3.966667 \n",
"405 0.933333 5.433333 \n",
"419 2.116667 3.350000 \n",
"514 2.800000 9.800000 \n",
"661 1.500000 3.983333 \n",
"678 1.850000 3.233333 \n",
"702 1.100000 2.966667 \n",
"721 0.933333 2.533333 \n",
"783 1.733333 2.883333 \n",
"796 2.700000 7.633333 \n",
"939 2.133333 3.083333 \n",
"1289 8.800000 48.000000 \n",
"2061 1.400000 2.083333 \n",
"2073 1.000000 5.533333 \n",
"2101 1.000000 5.583333 \n",
"2134 1.150000 4.066667 \n",
"2170 1.733333 3.350000 \n",
"2187 1.433333 3.916667 \n",
"2212 1.216667 3.833333 \n",
"2233 1.050000 5.233333 \n",
"2266 2.500000 8.533333 \n",
"2365 1.450000 3.666667 \n",
"2382 4.733333 8.866667 \n",
"2709 0.950000 4.533333 \n",
"2732 1.650000 4.233333 \n",
"2752 1.600000 5.216667 \n",
"2784 1.216667 5.716667 \n",
"2804 1.400000 6.116667 \n",
"2849 0.483333 3.350000 \n",
"3074 0.550000 3.550000 \n",
"3453 0.600000 4.366667 \n",
"3620 2.033333 4.666667 \n",
"3642 1.516667 5.000000 \n",
"3668 1.733333 3.600000 \n",
"3704 1.250000 5.266667 \n",
"3718 0.933333 4.866667 \n",
"3732 1.316667 4.916667 \n",
"3743 3.366667 9.366667 \n",
"3780 1.833333 4.550000 \n",
"\n",
" Rem Sleep Duration (h) \n",
"0 2.333333 \n",
"196 1.666667 \n",
"276 3.100000 \n",
"320 1.933333 \n",
"339 2.233333 \n",
"363 1.850000 \n",
"405 2.683333 \n",
"419 2.966667 \n",
"514 5.533333 \n",
"661 2.400000 \n",
"678 1.450000 \n",
"702 0.816667 \n",
"721 1.100000 \n",
"783 1.116667 \n",
"796 2.000000 \n",
"939 1.783333 \n",
"1289 13.400000 \n",
"2061 0.611111 \n",
"2073 2.000000 \n",
"2101 0.666667 \n",
"2134 1.866667 \n",
"2170 1.216667 \n",
"2187 1.700000 \n",
"2212 1.400000 \n",
"2233 2.333333 \n",
"2266 0.833333 \n",
"2365 1.016667 \n",
"2382 2.000000 \n",
"2709 2.216667 \n",
"2732 1.516667 \n",
"2752 2.800000 \n",
"2784 1.566667 \n",
"2804 2.333333 \n",
"2849 1.098611 \n",
"3074 2.300000 \n",
"3453 2.583333 \n",
"3620 1.916667 \n",
"3642 1.433333 \n",
"3668 1.750000 \n",
"3704 1.183333 \n",
"3718 1.766667 \n",
"3732 1.400000 \n",
"3743 2.466667 \n",
"3780 1.150000 "
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_users = s_df.drop_duplicates(subset=['Calendar Date (Local)', 'User First Name'])\n",
"\n",
"# Filter for device source\n",
"df_users = df_users[df_users['Source'] == 'device']\n",
"\n",
"print(df_users['User First Name'].unique())\n",
"\n",
"df_users"
]
},
{
"cell_type": "markdown",
"id": "7f5999e6-5db5-4624-8f7d-2da176a81bcf",
"metadata": {},
"source": [
"### Sleep Duration of Participants"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "8b7a78f9-f503-4f7f-9664-71090c26b81e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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wjgwAG3fffbdiYmJUs2ZNnTlzRh9//LF27NiR7WXAAOBMFDIAbCQmJmrGjBn65JNPlJ6ersqVK2vu3Ll64IEHnN01AMiEc2QAAIDL4hwZAADgsihkAACAy3L7c2QyMjJ0+PBhFS5cOF9vnw4AAG6cMUbnzp1TdHR0js/pcvtC5vDhw5meogsAAFzDoUOHcnwyu9sXMoULF5b010AUKVLEyb0BAAC5cfbsWZUqVcr6dzw7bl/IXD+cVKRIEQoZAABczL+dFsLJvgAAwGVRyAAAAJdFIQMAAFyW258jAwAoONLT03X16lVndwMFQKFCheTt7X3T30MhAwBwOGOMjh49qtOnTzu7KyhAQkNDFRkZeVP3eaOQAQA43PUiJjw8XIGBgdyg1MMZY3Tx4kUdP35ckhQVFXXD30UhAwBwqPT0dGsRc8sttzi7OyggAgICJEnHjx9XeHj4DR9mcurJvsuXL1f79u0VHR0ti8Wi//znPzbtxhiNGTNGUVFRCggIUMuWLbV7927ndBYAcEOunxMTGBjo5J6goLm+TdzMeVNOLWQuXLigGjVq6K233sqy/cUXX9TUqVP1zjvv6JdfflFQUJASExN1+fLlfO4pAOBmcTgJ/5QX24RTDy21bt1arVu3zrLNGKMpU6Zo1KhRuuuuuyRJH374oSIiIvSf//xHDz74YH52FQAAFEAF9j4yqampOnr0qFq2bGmdFhISovr162v16tVO7BkAAM43e/ZshYaG5kvWzp07FRkZqXPnzuU6e/jw4erfv7/D+1ZgT/Y9evSoJCkiIsJmekREhLUtK2lpaUpLS7O+P3v2rGM6CAC4abHDv8vXvP2T2to1f1JSkj744ANJko+Pj4oVK6bq1aurc+fOSkpKkpdX/uwPiI2N1cCBAzVw4EDrtAceeEBt2rTJl/wRI0aof//+//oAx78bMmSIypQpo0GDBqlMmTIO61uB3SNzoyZOnKiQkBDrq1SpUs7uEgDAhd155506cuSI9u/fr4ULF6pFixZ68skn1a5dO127du2Gv9cYc1OfDwgIUHh4+A1/PrcOHjyob7/9VklJSXZ9rnjx4kpMTNS0adMc07H/U2ALmcjISEnSsWPHbKYfO3bM2paVESNG6MyZM9bXoUOHHNpPAIB78/PzU2RkpEqUKKFatWrpmWee0VdffaWFCxdq9uzZkqT9+/fLYrFo48aN1s+dPn1aFotFy5YtkyQtW7ZMFotFCxcuVO3ateXn56cVK1Zo7969uuuuuxQREaHg4GDVrVtXP/74o/V7mjdvrgMHDmjQoEGyWCzWE2SzOrwzbdo0lS1bVr6+vqpYsaI++ugjm3aLxaIZM2aoU6dOCgwMVPny5fX111/nuPyfffaZatSooRIlSmRqW7RokeLj4xUcHGwt+P6uffv2mjt3bo7ff7MKbCETFxenyMhILVmyxDrt7Nmz+uWXX9SwYcNsP+fn56ciRYrYvAAAyEu33XabatSoofnz59v92eHDh2vSpEnavn27qlevrvPnz6tNmzZasmSJfvvtN915551q3769Dh48KEmaP3++SpYsqXHjxunIkSOZioXrFixYoCeffFKDBw/W1q1b1bt3b/Xo0UNLly61me+5557T/fffr82bN6tNmzbq2rWrTp48mW1/f/75Z9WpUyfT9IsXL+rll1/WRx99pOXLl+vgwYMaMmSIzTz16tXT77//rv3799s5Srnn1HNkzp8/rz179ljfp6amauPGjSpWrJhiYmI0cOBAPf/88ypfvrzi4uI0evRoRUdHq2PHjs7rNAqcmz3Gbu8xcwCQpEqVKmnz5s12f27cuHG64447rO+LFSumGjVqWN+PHz9eCxYs0Ndff60nnnhCxYoVk7e3twoXLpzjEYmXX35ZSUlJ6tu3ryTpqaee0po1a/Tyyy+rRYsW1vmSkpLUuXNnSdKECRM0depUrV27VnfeeWeW33vgwIEsC5mrV6/qnXfeUdmyZSVJTzzxhMaNG2czT3R0tPU7YmNjcxqWG+bUPTK//vqrEhISlJCQIOmvQU9ISNCYMWMkScOGDVP//v312GOPqW7dujp//rySk5Pl7+/vzG4DACBjzA3dB+WfRcH58+c1ZMgQxcfHKzQ0VMHBwdq+fbt1j0xubd++XY0bN7aZ1rhxY23fvt1mWvXq1a3/HRQUpCJFilgfFZCVS5cuZfl3NzAw0FrESH89ZuCf33P97r0XL17M/YLYyal7ZJo3by5jTLbtFotF48aNy1ThAQDgbNu3b1dcXJwkWa9e+vvftOzuVhsUFGTzfsiQIfrhhx/08ssvq1y5cgoICNC9996rK1euOKTfhQoVsnlvsViUkZGR7fzFixfXqVOncvU9//ybfv2QVVhY2I12918V2HNkAAAoqP773/9qy5YtuueeeyT9/z/Ufz9/5e8n/uZk5cqVSkpKUqdOnVStWjVFRkZmOqfE19dX6enpOX5PfHy8Vq5cmem7K1eunKt+ZCchIUEpKSk39NmtW7eqUKFCqlKlyk31IScF9j4yAAAUBGlpaTp69KjS09N17NgxJScna+LEiWrXrp26desm6a9DKA0aNNCkSZMUFxen48ePa9SoUbn6/vLly2v+/Plq3769LBaLRo8enWkPSWxsrJYvX64HH3xQfn5+Kl68eKbvGTp0qO6//34lJCSoZcuW+uabbzR//nybK6BuRGJionr16qX09HS7H+z4888/q0mTJtZDTI5AIQMAcBpXONk+OTlZUVFR8vHxUdGiRVWjRg1NnTpV3bt3t7kh3syZM9WzZ0/Vrl1bFStW1IsvvqhWrVr96/e/+uqreuSRR9SoUSMVL15cTz/9dKabuY4bN069e/dW2bJllZaWluVpGR07dtTrr7+ul19+WU8++aTi4uI0a9YsNW/e/KaWv3Xr1vLx8dGPP/6oxMREuz47d+5cPfvsszeV/28sJqeTVNzA2bNnFRISojNnznAptpviqiWgYLt8+bJSU1MVFxfHxRou6q233tLXX3+tRYsW5fozCxcu1ODBg7V582b5+GS93ySnbSO3f7/ZIwMAAHLUu3dvnT59WufOncv1YwouXLigWbNmZVvE5BUKGTfAHgkAgCP5+Pho5MiRdn3m3nvvdVBvbHHVEgAAcFkUMgAAwGVRyAAA8oWbX1uCG5AX2wSFDADAoa7fAdaRt6mHa7q+TfzzLsH24GRfAIBDeXt7KzQ01PocnsDAwBt6RhHchzFGFy9e1PHjxxUaGmr3jfb+jkIGAOBw15/anNPDCeF5QkNDc3yid25QyAAAHM5isSgqKkrh4eHZPkwRnqVQoUI3tSfmOgoZAEC+8fb2zpM/XsB1nOwLAABcFoUMAABwWRQyAADAZVHIAAAAl0UhAwAAXBaFDAAAcFkUMgAAwGVRyAAAAJdFIQMAAFwWhQwAAHBZFDIAAMBlUcgAAACXRSEDAABcFoUMAABwWRQyAADAZVHIAAAAl0UhAwAAXBaFDAAAcFkUMgAAwGVRyAAAAJdFIQMAAFwWhQwAAHBZFDIAAMBlUcgAAACXRSEDAABclo+zOwAANyN2+Hc39fn9k9rmUU8AOAOFDG4af0gAAM7CoSUAAOCyKGQAAIDLopABAAAui0IGAAC4LAoZAADgsihkAACAy6KQAQAALotCBgAAuCwKGQAA4LIoZAAAgMuikAEAAC6LQgYAALgsChkAAOCyKGQAAIDLopABAAAui0IGAAC4LAoZAADgsnyc3QEAcGWxw7+7qc/vn9Q2j3oCeCb2yAAAAJdVoAuZ9PR0jR49WnFxcQoICFDZsmU1fvx4GWOc3TUAAFAAFOhDS5MnT9a0adP0wQcfqEqVKvr111/Vo0cPhYSEaMCAAc7uHgAAcLICXcisWrVKd911l9q2/esYcmxsrD799FOtXbvWyT0DAAAFQYE+tNSoUSMtWbJEu3btkiRt2rRJK1asUOvWrZ3cMwAAUBAU6D0yw4cP19mzZ1WpUiV5e3srPT1dL7zwgrp27ZrtZ9LS0pSWlmZ9f/bs2fzoKgAAcIICXch89tln+uSTTzRnzhxVqVJFGzdu1MCBAxUdHa3u3btn+ZmJEyfqueeey+eeAp6Ly48BOFOBPrQ0dOhQDR8+XA8++KCqVaumhx9+WIMGDdLEiROz/cyIESN05swZ6+vQoUP52GMAAJCfCvQemYsXL8rLy7bW8vb2VkZGRraf8fPzk5+fn6O7BgAACoACXci0b99eL7zwgmJiYlSlShX99ttvevXVV/XII4/Y/V1Vxy6Sl19glm3s2gYAwDUV6ELmjTfe0OjRo9W3b18dP35c0dHR6t27t8aMGePsrgEAgAKgQBcyhQsX1pQpUzRlyhRndwUAABRABfpkXwAAgJwU6D0yAICCjcvv4WzskQEAAC6LQgYAALgsChkAAOCyKGQAAIDLopABAAAui6uWAAC4Qc6+asvZ+QUBe2QAAIDLYo8MAMBlsUcCFDIAAOCGFIRCkkNLAADAZVHIAAAAl0UhAwAAXBbnyOSBgnCMEAAAT8QeGQAA4LIoZAAAgMuikAEAAC6Lc2QAwIVxjh48HXtkAACAy6KQAQAALotCBgAAuCwKGQAA4LIoZAAAgMuikAEAAC6LQgYAALgsChkAAOCyKGQAAIDLopABAAAui0IGAAC4LAoZAADgsihkAACAy7qhp18fPHhQBw4c0MWLFxUWFqYqVarIz88vr/sGAACQo1wXMvv379e0adM0d+5c/f777zLGWNt8fX3VpEkTPfbYY7rnnnvk5cWOHgAA4Hi5qjgGDBigGjVqKDU1Vc8//7xSUlJ05swZXblyRUePHtX333+vW2+9VWPGjFH16tW1bt06R/cbAAAgd3tkgoKCtG/fPt1yyy2Z2sLDw3Xbbbfptttu09ixY5WcnKxDhw6pbt26ed5ZAACAv8tVITNx4sRcf+Gdd955w50BAACwByezAAAAl2V3IXPs2DE9/PDDio6Olo+Pj7y9vW1eAAAA+cXuy6+TkpJ08OBBjR49WlFRUbJYLI7oFwAAwL+yu5BZsWKFfv75Z9WsWdMB3QEAAMg9uw8tlSpVyuYeMgAAAM5idyEzZcoUDR8+XPv373dAdwAAAHIvV4eWihYtanMuzIULF1S2bFkFBgaqUKFCNvOePHkyb3sIAACQjVwVMlOmTHFwNwAAAOyXq0Kme/fuju4HAACA3XJ1jsyFCxfs+lJ75wcAALgRuSpkypUrp0mTJunIkSPZzmOM0Q8//KDWrVtr6tSpedZBAACA7OTq0NKyZcv0zDPP6Nlnn1WNGjVUp04dRUdHy9/fX6dOnVJKSopWr14tHx8fjRgxQr1793Z0vwEAAHJXyFSsWFFffvmlDh48qM8//1w///yzVq1apUuXLql48eJKSEjQ9OnT1bp1ax5TAAAA8o1dd/aNiYnR4MGDNXjwYEf1B4CdYod/d1Of3z+pbR71BADyH0+/BgAALotCBgAAuCwKGQAA4LIoZAAAgMuikAEAAC7LrquWrjt9+rTWrl2r48ePKyMjw6atW7duedIxAACAf2N3IfPNN9+oa9euOn/+vIoUKWLzVGyLxUIhAwAA8o3dh5YGDx6sRx55ROfPn9fp06d16tQp6+vkyZOO6CMAAECW7C5k/vjjDw0YMECBgYGO6A8AAECu2V3IJCYm6tdff3VEX7L0xx9/6KGHHtItt9yigIAAVatWLV/zAQBAwWX3OTJt27bV0KFDlZKSomrVqqlQoUI27R06dMizzp06dUqNGzdWixYttHDhQoWFhWn37t0qWrRonmUAAADXZXch8+ijj0qSxo0bl6nNYrEoPT395nv1fyZPnqxSpUpp1qxZ1mlxcXF59v0AAMC12X1oKSMjI9tXXhYxkvT111+rTp06uu+++xQeHm59yjYAAIBUwG+It2/fPk2bNk3ly5fXokWL9Pjjj2vAgAH64IMPsv1MWlqazp49a/MCAADu6YYKmZ9++knt27dXuXLlVK5cOXXo0EE///xzXvdNGRkZqlWrliZMmKCEhAQ99thjevTRR/XOO+9k+5mJEycqJCTE+ipVqlSe9wsAABQMdhcyH3/8sVq2bKnAwEANGDBAAwYMUEBAgG6//XbNmTMnTzsXFRWlypUr20yLj4/XwYMHs/3MiBEjdObMGevr0KFDedonAABQcNh9su8LL7ygF198UYMGDbJOGzBggF599VWNHz9eXbp0ybPONW7cWDt37rSZtmvXLpUuXTrbz/j5+cnPzy/P+gAAAAouu/fI7Nu3T+3bt880vUOHDkpNTc2TTl03aNAgrVmzRhMmTNCePXs0Z84cvffee+rXr1+e5gAAANdkdyFTqlQpLVmyJNP0H3/8Mc/PR6lbt64WLFigTz/9VFWrVtX48eM1ZcoUde3aNU9zAACAa7L70NLgwYM1YMAAbdy4UY0aNZIkrVy5UrNnz9brr7+e5x1s166d2rVrl+ffCwAAXJ/dhczjjz+uyMhIvfLKK/rss88k/XUC7rx583TXXXfleQcBAACyY3chI0mdOnVSp06d8rovAAAAdinQN8QDAADISa72yBQrVky7du1S8eLFVbRoUVkslmznPXnyZJ51DgAAICe5KmRee+01FS5c2PrfORUyAAAA+SVXhUz37t2t/52UlOSovgAAANjF7nNkvL29dfz48UzT//e//8nb2ztPOgUAAJAbdhcyxpgsp6elpcnX1/emOwQAAJBbub78eurUqZIki8WiGTNmKDg42NqWnp6u5cuXq1KlSnnfQwAAgGzkupB57bXXJP21R+add96xOYzk6+ur2NhYvfPOO3nfQwAAgGzkupC5/kDIFi1aaP78+SpatKjDOgUAAJAbdt/Zd+nSpY7oBwAAgN1u6BEFv//+u77++msdPHhQV65csWl79dVX86RjAAAA/8buQmbJkiXq0KGDypQpox07dqhq1arav3+/jDGqVauWI/oIAACQJbsvvx4xYoSGDBmiLVu2yN/fX19++aUOHTqkZs2a6b777nNEHwEAALJkdyGzfft2devWTZLk4+OjS5cuKTg4WOPGjdPkyZPzvIMAAADZsbuQCQoKsp4XExUVpb1791rb/vzzz7zrGQAAwL+w+xyZBg0aaMWKFYqPj1ebNm00ePBgbdmyRfPnz1eDBg0c0UcAAIAs2V3IvPrqqzp//rwk6bnnntP58+c1b948lS9fniuWAABAvrKrkElPT9fvv/+u6tWrS/rrMBN38wUAAM5i1zky3t7eatWqlU6dOuWo/gAAAOSa3Sf7Vq1aVfv27XNEXwAAAOxidyHz/PPPa8iQIfr222915MgRnT171uYFAACQX+w+2bdNmzaSpA4dOshisVinG2NksViUnp6ed70DAADIAQ+NBAAALsvuQqZZs2aO6AcAAIDd7C5kli9fnmN706ZNb7gzAAAA9rC7kGnevHmmaX8/V4ZzZAAAQH6x+6qlU6dO2byOHz+u5ORk1a1bV4sXL3ZEHwEAALJk9x6ZkJCQTNPuuOMO+fr66qmnntL69evzpGMAAAD/xu5CJjsRERHauXNnXn0d4DJih393U5/fP6ltHvUEADyP3YXM5s2bbd4bY3TkyBFNmjRJNWvWzKt+AQAA/Cu7C5maNWvKYrHIGGMzvUGDBpo5c2aedQwAAODf2F3IpKam2rz38vJSWFiY/P3986xTAAAAuWF3IVO6dGlH9AMAAMBuuSpkpk6dmusvHDBgwA13BgAAwB65KmRee+01m/cnTpzQxYsXFRoaKkk6ffq0AgMDFR4eTiEDAADyTa5uiJeammp9vfDCC6pZs6a2b9+ukydP6uTJk9q+fbtq1aql8ePHO7q/AAAAVnbf2Xf06NF64403VLFiReu0ihUr6rXXXtOoUaPytHMAAAA5sbuQOXLkiK5du5Zpenp6uo4dO5YnnQIAAMgNuwuZ22+/Xb1799aGDRus09avX6/HH39cLVu2zNPOAQAA5MTuQmbmzJmKjIxUnTp15OfnJz8/P9WrV08RERGaMWOGI/oIAACQJbvvIxMWFqbvv/9eu3fv1vbt2yVJlSpVUoUKFfK8cwAAADm54YdGli9fXuXLl8/LvgAAANjF7kNLAAAABQWFDAAAcFkUMgAAwGVRyAAAAJd1Qyf7njp1Su+//771qqX4+Hg98sgjKlasWJ52DgAAICd275FZvny54uLiNHXqVJ06dUqnTp3SG2+8obi4OC1fvtwRfQQAAMiS3Xtk+vXrp/vvv1/Tpk2Tt7e3pL8eT9C3b1/169dPW7ZsyfNOAgAAZMXuPTJ79uzR4MGDrUWMJHl7e+upp57Snj178rRzAAAAObG7kKlVq5b13Ji/2759u2rUqJEnnQIAAMgNuw8tDRgwQE8++aT27NmjBg0aSJLWrFmjt956S5MmTdLmzZut81avXj3vegoAAPAPdhcynTt3liQNGzYsyzaLxSJjjCwWi9LT02++hwAAANmwu5BJTU11RD8AAADsZnchU7p0aUf0AwAAwG43dGffjz76SI0bN1Z0dLQOHDggSZoyZYq++uqrPO0cAABATuwuZKZNm6annnpKbdq00enTp63nwYSGhmrKlCl53T8AAIBs2V3IvPHGG5o+fbpGjhxpcy+ZOnXqcDM8AACQr+wuZFJTU5WQkJBpup+fny5cuJAnncrOpEmTZLFYNHDgQIfmAAAA12B3IRMXF6eNGzdmmp6cnKz4+Pi86FOW1q1bp3fffZd70wAAACu7r1p66qmn1K9fP12+fFnGGK1du1affvqpJk6cqBkzZjiijzp//ry6du2q6dOn6/nnn3dIBgAAcD12FzK9evVSQECARo0apYsXL6pLly6Kjo7W66+/rgcffNARfVS/fv3Utm1btWzZkkIGAABY2V3ISFLXrl3VtWtXXbx4UefPn1d4eHhe98tq7ty52rBhg9atW5er+dPS0pSWlmZ9f/bsWUd1DQAAONkN3Ufm2rVr+vHHH/XRRx8pICBAknT48GGdP38+Tzt36NAhPfnkk/rkk0/k7++fq89MnDhRISEh1lepUqXytE8AAKDgsLuQOXDggKpVq6a77rpL/fr104kTJyRJkydP1pAhQ/K0c+vXr9fx48dVq1Yt+fj4yMfHRz/99JOmTp0qHx+fLJ/lNGLECJ05c8b6OnToUJ72CQAAFBx2H1p68sknVadOHW3atEm33HKLdXqnTp306KOP5mnnbr/99kz3punRo4cqVaqkp59+2uY+Ntf5+fnJz88vT/sBAAAKJrsLmZ9//lmrVq2Sr6+vzfTY2Fj98ccfedYxSSpcuLCqVq1qMy0oKEi33HJLpukAAMDz2H1oKSMjI8tDOr///rsKFy6cJ50CAADIDbv3yLRq1UpTpkzRe++9J0myWCw6f/68xo4dqzZt2uR5B/9p2bJlDs8AAACuwe5C5pVXXlFiYqIqV66sy5cvq0uXLtq9e7eKFy+uTz/91BF9BAAAyJLdhUzJkiW1adMmzZ07V5s3b9b58+fVs2dPde3a1XopNgAAQH64oRvi+fj46KGHHsrrvgAAANglV4XM119/nesv7NChww13BgAAwB65KmQ6duyYqy+zWCxZXtEEAADgCLkqZDIyMhzdDwAAALvd0LOWAAAACoJcFzKrV6/Wt99+azPtww8/VFxcnMLDw/XYY4/ZPHUaAADA0XJdyIwbN07btm2zvt+yZYt69uypli1bavjw4frmm280ceJEh3QSAAAgK7kuZDZu3Kjbb7/d+n7u3LmqX7++pk+frqeeekpTp07VZ5995pBOAgAAZCXXhcypU6cUERFhff/TTz+pdevW1vd169bVoUOH8rZ3AAAAOch1IRMREaHU1FRJ0pUrV7RhwwY1aNDA2n7u3DkVKlQo73sIAACQjVwXMm3atNHw4cP1888/a8SIEQoMDFSTJk2s7Zs3b1bZsmUd0kkAAICs5PoRBePHj9fdd9+tZs2aKTg4WB988IF8fX2t7TNnzlSrVq0c0kkAAICs5LqQKV68uJYvX64zZ84oODhY3t7eNu2ff/65goOD87yDAAAA2bH7oZEhISFZTi9WrNhNdwYAAMAe3NkXAAC4LAoZAADgsihkAACAy6KQAQAALotCBgAAuCwKGQAA4LIoZAAAgMuikAEAAC6LQgYAALgsChkAAOCyKGQAAIDLopABAAAui0IGAAC4LAoZAADgsihkAACAy6KQAQAALotCBgAAuCwKGQAA4LIoZAAAgMuikAEAAC6LQgYAALgsChkAAOCyKGQAAIDLopABAAAui0IGAAC4LAoZAADgsihkAACAy6KQAQAALotCBgAAuCwKGQAA4LIoZAAAgMuikAEAAC6LQgYAALgsChkAAOCyKGQAAIDLopABAAAui0IGAAC4LAoZAADgsihkAACAy6KQAQAALotCBgAAuCwKGQAA4LIoZAAAgMuikAEAAC6rQBcyEydOVN26dVW4cGGFh4erY8eO2rlzp7O7BQAACogCXcj89NNP6tevn9asWaMffvhBV69eVatWrXThwgVndw0AABQAPs7uQE6Sk5Nt3s+ePVvh4eFav369mjZt6qReAQCAgqJA75H5pzNnzkiSihUr5uSeAACAgqBA75H5u4yMDA0cOFCNGzdW1apVs50vLS1NaWlp1vdnz57Nj+4BAAAncJk9Mv369dPWrVs1d+7cHOebOHGiQkJCrK9SpUrlUw8BAEB+c4lC5oknntC3336rpUuXqmTJkjnOO2LECJ05c8b6OnToUD71EgAA5LcCfWjJGKP+/ftrwYIFWrZsmeLi4v71M35+fvLz88uH3gEAAGcr0IVMv379NGfOHH311VcqXLiwjh49KkkKCQlRQECAk3sHAACcrUAfWpo2bZrOnDmj5s2bKyoqyvqaN2+es7sGAAAKgAK9R8YY4+wuAACAAqxA75EBAADICYUMAABwWRQyAADAZVHIAAAAl0UhAwAAXBaFDAAAcFkUMgAAwGVRyAAAAJdFIQMAAFwWhQwAAHBZFDIAAMBlUcgAAACXRSEDAABcFoUMAABwWRQyAADAZVHIAAAAl0UhAwAAXBaFDAAAcFkUMgAAwGVRyAAAAJdFIQMAAFwWhQwAAHBZFDIAAMBlUcgAAACXRSEDAABcFoUMAABwWRQyAADAZVHIAAAAl0UhAwAAXBaFDAAAcFkUMgAAwGVRyAAAAJdFIQMAAFwWhQwAAHBZFDIAAMBlUcgAAACXRSEDAABcFoUMAABwWRQyAADAZVHIAAAAl0UhAwAAXBaFDAAAcFkUMgAAwGVRyAAAAJdFIQMAAFwWhQwAAHBZFDIAAMBlUcgAAACXRSEDAABcFoUMAABwWRQyAADAZVHIAAAAl0UhAwAAXBaFDAAAcFkUMgAAwGVRyAAAAJdFIQMAAFwWhQwAAHBZFDIAAMBlUcgAAACX5RKFzFtvvaXY2Fj5+/urfv36Wrt2rbO7BAAACoACX8jMmzdPTz31lMaOHasNGzaoRo0aSkxM1PHjx53dNQAA4GQFvpB59dVX9eijj6pHjx6qXLmy3nnnHQUGBmrmzJnO7hoAAHCyAl3IXLlyRevXr1fLli2t07y8vNSyZUutXr3aiT0DAAAFgY+zO5CTP//8U+np6YqIiLCZHhERoR07dmT5mbS0NKWlpVnfnzlzRpKUkXYx25yzZ8/eVD9z+u7cIJ988sknn3zys24zxuT8JaYA++OPP4wks2rVKpvpQ4cONfXq1cvyM2PHjjWSePHixYsXL15u8Dp06FCOtUKB3iNTvHhxeXt769ixYzbTjx07psjIyCw/M2LECD311FPW96dPn1bp0qV18OBBhYSEOLS/WTl79qxKlSqlQ4cOqUiRIuSTTz755JNPfi4YY3Tu3DlFR0fnOF+BLmR8fX1Vu3ZtLVmyRB07dpQkZWRkaMmSJXriiSey/Iyfn5/8/PwyTQ8JCXHKiryuSJEi5JNPPvnkk0++HXKzA6JAFzKS9NRTT6l79+6qU6eO6tWrpylTpujChQvq0aOHs7sGAACcrMAXMg888IBOnDihMWPG6OjRo6pZs6aSk5MznQAMAAA8T4EvZCTpiSeeyPZQ0r/x8/PT2LFjszzclB/IJ5988sknn3zHsRjzb9c1AQAAFEwF+oZ4AAAAOaGQAQAALotCBgAAuCwKGQAA4LJc4qole505c0ZHjx6VJEVGRjrljr7Xn/fkrLPFPTnf09e/s5ff2fkS4+/J40++B27/efNUpIJh+vTpJj4+3nh5edm84uPjzYwZMxyev3jxYtO6dWsTGhpqzQ4NDTWtW7c2P/zwA/kO5unr39nL7+x8xt+zx598z93+3aaQefHFF01gYKAZPny4Wbp0qUlJSTEpKSlm6dKlZsSIESYoKMi89NJLDsufPXu28fHxMQ8++KCZNWuW+f777833339vZs2aZTp37mwKFSpkPvzwQ/IdxNPXv7OX39n5jL9njz/5nr39u00hExMTY+bNm5dt+9y5c02pUqUcll++fHnz5ptvZtv+1ltvmXLlypHvIJ6+/p29/M7OZ/w9e/zJ9+zt320KGX9/f5OSkpJt+7Zt20xAQIDD8v38/MyOHTuybd+xY4fx9/cn30E8ff07e/mdnc/4e/b4k+/Z27/bXLVUt25dTZo0SdeuXcvUlp6ersmTJ6tu3boOy69SpYref//9bNtnzpypypUrk+8gnr7+nb38zs5n/D17/Mn37O3fbR5RsHnzZiUmJurq1atq2rSp9aGSx44d0/Lly+Xr66vFixeratWqDslftmyZ2rVrpzJlyqhly5Y2+UuWLNG+ffv03XffqWnTpuQ7gKevf2cvv7PzGX/PHn/yPXv7d5tCRpLOnTunjz/+WGvWrLG5/Kthw4bq0qWLihQp4tD8/fv3a9q0aVnm9+nTR7GxseQ7kKevf2cvv7PzGX/PHn/yPXf7d6tCBgAAeBa3uyHe0aNH9csvv1grwqioKNWrV0+RkZH5kn/t2jVt27bNJj8+Pl6FChUiPx94+vp39vI7O5/x9+zxJ99Dt3+HnUacz86fP2+6du1qvL29jY+PjwkPDzfh4eHGx8fHeHt7m4ceeshcuHDBYfnp6elm5MiRJjQ01FgsFptXaGioGTVqlElPTyffQTx9/Tt7+Z2dz/h79viT79nbv9sUMj179jTly5c3ycnJ5tq1a9bp165dM4sWLTIVKlQwvXr1clj+0KFDTVhYmHnnnXdMamqquXjxorl48aJJTU017777rgkPDzfDhg0j30E8ff07e/mdnc/4e/b4k+/Z27/bFDKhoaFm5cqV2bavWLHChIaGOiw/IiLCJCcnZ9uenJxswsPDyXcQT1//zl5+Z+cz/p49/uR79vbvNveRycjIkK+vb7btvr6+ysjIcFj+uXPnFB0dnW17VFSULly4QL6DePr6d/byOzuf8ffs8Sffs7d/t9kj06VLF5OQkGA2bNiQqW3Dhg2mdu3apmvXrg7Lb9OmjWnVqpU5ceJEprYTJ06YO++807Rt25Z8B/H09e/s5Xd2PuPv2eNPvmdv/25TyJw8edLceeedxmKxmGLFiplKlSqZSpUqmWLFihkvLy/TunVrc+rUKYflHzx40FStWtX4+PiYhIQEc+edd5o777zTJCQkGB8fH1O9enVz8OBB8h3E09e/s5ff2fmMv2ePP/mevf273X1kduzYodWrV2e6IU+lSpUcnp2RkaFFixZleUOgVq1aycvLsUfyPD1f8uz1Lzl3+Z2dz/h79viT77nbv9sVMgAAwHO4zcm+AADA87hlIePl5aUqVarYTIuPj5e3t3e+5MfFxemOO+6wmdayZUuVKVOG/Hzg6evf2cvv7HzG37PHn3zP2/7d7hEF0l+PLA8NDbWZNnHiRJ05cyZf8rt3766wsDCbaZ06ddKff/5Jfj7w9PXv7OV3dj7j79njT77nbf+cIwMAAFyWWx5akqS0tDSlpaU5uxtwEk9f/85efmfnO5uzl9/Z+fBs+b39uVUh88MPP6hNmzYqWrSoAgMDFRgYqKJFi6pNmzb68ccfHZ6fkpKivn37KiEhQVFRUYqKilJCQoL69u2rlJQU8h3M09e/s5ff2fmMv2ePP/meu/27zaGlDz74QL169dK9996rxMRERURESJKOHTumxYsX64svvtD777+vhx9+2CH5CxcuVMeOHVWrVq1M+T/88IPWr1+vr776SomJieQ7gKevf2cvv7PzGX/PHn/yPXv7d5s7+5YvX968+eab2ba/9dZbply5cg7Lr169uhk9enS27WPHjjXVqlUj30E8ff07e/mdnc/4e/b4k+/Z27/bFDJ+fn5mx44d2bbv2LHD+Pv7Oyzf39+ffCfme/r6d/byOzuf8ffs8Sffs7d/tzlHpkqVKnr//fezbZ85c6YqV67ssPzY2Fh999132bZ/9913Kl26NPkO4unr39nL7+x8xt+zx598z97+3eY+Mq+88oratWun5ORktWzZ0uYY3ZIlS7Rv374cV/TNGjdunLp06aJly5ZlmZ+cnKw5c+aQ7yCevv6dvfzOzmf8PXv8yffs7d9tDi0ZY0xqaqoZNmyYadq0qalQoYKpUKGCadq0qXn66adNamqqw/NXrlxpHnjgARMTE2N8fX2Nr6+viYmJMQ888IBZtWoV+Q7m6evf2cvv7HzG37PHn3zP3f7d5qolAADgedzm0NJ1165d07Zt26yPEY+KilJ8fLwKFSqUb304c+aMzWPMQ0JC8i3b0/M9ff07e/mdnS8x/p48/uR76Pbv0P09+Sg9Pd2MHDnShIaGGovFYvMKDQ01o0aNMunp6Q7tw/Tp0018fLzx8vIyXl5exmKxGC8vLxMfH29mzJjh0GxPz/f09e/s5Xd2vjGMvyePP/mevf27TSEzdOhQExYWZt555x2TmppqLl68aC5evGhSU1PNu+++a8LDw82wYcMclv/iiy+awMBAM3z4cLN06VKTkpJiUlJSzNKlS82IESNMUFCQeemll8h3EE9f/85efmfnM/6ePf7ke/b27zaFTEREhElOTs62PTk52YSHhzssPyYmxsybNy/b9rlz55pSpUqR7yCevv6dvfzOzmf8PXv8yffs7d9t7iNz7tw5RUdHZ9seFRWlCxcuOCz/+PHjqlatWrbt1apVc+hj1D0939PXv7OX39n5jL9njz/5nr39u80emTZt2phWrVqZEydOZGo7ceKEufPOO03btm0dlt+kSRPTrVs3c/Xq1Uxt165dM926dTNNmzYl30E8ff07e/mdnc/4e/b4k+/Z27/bXH596NAhtWnTRjt27FC1atVsbsizZcsWVa5cWd9++61KlSrlkPzNmzcrMTFRV69eVdOmTW3yly9fLl9fXy1evFhVq1Yl3wE8ff07e/mdnc/4e/b4k+/Z27/bFDKSlJGRoUWLFmnNmjU2l581bNhQrVq1kpeXY4+knTt3Th9//HGW+V26dFGRIkXIdyBPX//OXn5n5zP+nj3+5Hvu9u9WhQwAAPAsbnOyLwAA8DxuWcjExcXpjjvusJnWsmVLlSlTJl/yW7RooaSkJJtp3bt312233UZ+PvD09e/s5Xd2PuPv2eNPvudt/273iALpr5UWFhZmM61Tp04Ovfzs72JjYxUVFWUzrUSJEg4/Rk3+Xzx9/Tt7+Z2dz/h79viT73nbP+fIAAAAl+WWh5YAAIBncKtDSykpKXrzzTe1evXqTJd/PfHEE6pcubJD8//880/NnDkzU36jRo2UlJSUaXcb+XnL09e/s5ff2fmMv2ePP/meu/27zaGlhQsXqmPHjqpVq5YSExNtbsjzww8/aP369frqq6+UmJjokPx169YpMTFRgYGBatmypU3+kiVLdPHiRS1atEh16tQh3wE8ff07e/mdnc/4e/b4k+/Z27/bPKKgevXqZvTo0dm2jx071lSrVs1h+fXr1zePPfaYycjIyNSWkZFhHnvsMdOgQQPyHcTT17+zl9/Z+Yy/Z48/+Z69/btNIePv72927NiRbfuOHTuMv7+/Q/O3b9+ebfv27dvJd3C+p69/Zy+/s/MZf88ef/I9d/t3m5N9Y2Nj9d1332Xb/t1336l06dIOy4+MjNTatWuzbV+7dq11dxv5ec/T17+zl9/Z+Yy/Z48/+Z69/bvNyb7jxo1Tly5dtGzZsiyPESYnJ2vOnDkOyx8yZIgee+wxrV+/Xrfffnum/OnTp+vll18m30E8ff07e/mdnc/4e/b4k+/Z27/bHFoyxpiVK1eaBx54wMTExBhfX1/j6+trYmJizAMPPGBWrVrl8Py5c+ea+vXrGx8fH2OxWIzFYjE+Pj6mfv36Zt68eeQ7mKevf2cvv7PzGX/PHn/yPXf7d5urlgqSq1evWu9iWLx4cRUqVIh8D+Lpy+9sjL9zOXv8yfe87d8tC5kzZ87YXMceEhKS731IS0uTJPn5+eV7tqfne/r6d/byOztfYvw9efzJ98Dt36H7e/LZ9OnTTXx8vPHy8jJeXl7GYrEYLy8vEx8fb2bMmOHw/MWLF5vWrVub0NBQax9CQ0NN69atzQ8//EC+g3n6+nf28js7n/H37PEn33O3f7cpZF588UUTGBhohg8fbpYuXWpSUlJMSkqKWbp0qRkxYoQJCgoyL730ksPyZ8+ebXx8fMyDDz5oZs2aZb7//nvz/fffm1mzZpnOnTubQoUKmQ8//JB8B/H09e/s5Xd2PuPv2eNPvmdv/25TyMTExOR4QtPcuXNNqVKlHJZfvnx58+abb2bb/tZbb5ly5cqR7yCevv6dvfzOzmf8PXv8yffs7d9tChl/f3+TkpKSbfu2bdtMQECAw/L9/PycekMgT8/39PXv7OV3dj7j79njT75nb/9uc0O8unXratKkSbp27VqmtvT0dE2ePFl169Z1WH6VKlX0/vvvZ9s+c+ZMhz40y9PzPX39O3v5nZ3P+Hv2+JPv2du/21y1tHnzZiUmJurq1atq2rSpzQ15li9fLl9fXy1evFhVq1Z1SP6yZcvUrl07lSlTJssbAu3bt0/fffedmjZtSr4DePr6d/byOzuf8ffs8Sffs7d/tylkJOncuXP6+OOPtWbNmkyPEe/SpYuKFCni0Pz9+/dr2rRpWeb36dNHsbGx5DuQp69/Zy+/s/MZf88ef/I9d/t3q0IGAAB4Frc5RwYAAHgeChkAAOCyKGQAAIDLopABAAAui0LGzaWmpmZ5bb+n8ORlv47z+QHn8PTfXyl/fn88ppDZu3evbrvtNodmHDlyRB9//LG+//57XblyxabtwoULGjdunEPzs1KxYkXt3r0733MPHz6ssWPHqmvXrhoyZIh27Njh0Lzk5GRt2bJFkpSRkaHx48erRIkS8vPzU8mSJTVp0iSH/g/Vvn17ffTRR7p06ZLDMnKSlpamIUOGqGnTppo8ebIk6fnnn1dwcLAKFy6sLl266OzZsw7tw6ZNm9StWzeVKVNGAQEBCgoKUrVq1TR69GiHZ0tSSkqK+vbtq4SEBEVFRSkqKkoJCQnq27evUlJSHJ6fk/z4/XF2vrN//3744QeNHTtW//3vfyVJy5cvV+vWrXXbbbdp1qxZDs3Ojqf8/jr998dh9wwuYDZu3Gi8vLwc9v1r1641oaGhpkiRIiYgIMCUK1fObN261dp+9OhRh+Z36tQpy5eXl5dp2bKl9b2jBAQEmOPHjxtj/roddUhIiClXrpy57777TKVKlUxgYKDZtGmTw/IrVqxoli9fbowxZsKECeaWW24xr776qlm4cKGZMmWKiYiIMJMmTXJYvsViMT4+PiYkJMT06dPH/Prrrw7LysqgQYNMdHS0GTx4sImPjzd9+/Y1MTEx5uOPPzZz5swx5cqVM/3793dYfnJysgkICDD33HOPeeihh0xgYKB54oknzNNPP23KlStnypYta44cOeKw/O+//974+vqaBg0amLFjx5q3337bvP3222bs2LGmUaNGxs/PzyQnJzss/984+vfH2fnO/v376KOPjI+Pj6lVq5YJDg42s2bNMqGhoaZXr17mkUceMb6+vubzzz93WL6n//46+/fHbe4jM3Xq1Bzb//jjD7388stKT093SP4dd9yhUqVKacaMGbpw4YKefvppffbZZ/rhhx+UkJCgY8eOKTo62mH5Xl5eatq0qeLi4mymf/jhh+rQoYNCQ0MlyWH/MvHy8tLRo0cVHh6ujh07KiMjQ/Pnz5ePj48yMjLUtWtXnT9/Xt98841D8v39/bVr1y7FxMSoWrVqGjNmjO677z5r+3fffaeBAwc67F9HXl5e2rp1qxYvXqyZM2dq27Ztqlatmnr16qWuXbuqaNGiDsm9LiYmRjNnzlTLli21b98+lS9fXvPnz9ddd90l6a9/rT766KPav3+/Q/ITEhLUu3dv9enTx5o3YMAAbd++XVevXlXr1q1VqlQph21/NWrU0F133ZXtv/qfffZZzZ8/X5s3b3ZIvrN/f5yd7+zfv4SEBPXo0UMDBgzQkiVL1L59e73wwgsaNGiQJOmVV17RggULtGLFCofke/rvr7N/f9xmj4zFYjHR0dEmNjY2y1d0dLRD/0VQtGhRs3PnTptpEydONEWLFjVr1651+L9IPv30U1OyZEkzc+ZMm+k+Pj5m27ZtDsu9zmKxmGPHjhljjClVqpR178h1GzZsMFFRUQ7Lj4qKMqtXrzbGGBMREWE2bNhg075r1y6HPrTs78tvjDG//PKLeeyxx0xISIgJCAgwnTt3NkuWLHFYfkBAgDlw4ID1faFChWz+RZyammoCAwMdlu/v729SU1Ot7zMyMkyhQoXM4cOHjTHGLF++3ISFhTk035kPzXP274+z8539+xcUFGT27dtnfV+oUCGbPRDbt283t9xyi8PyPf3319m/P25TyMTGxub4GPHffvvN4f8jZ7Xr7qWXXjKhoaFm/vz5Dt+1nJqaaho3bmzuvvtuc/LkSWNM/v2P5OXlZd21Wbp06UxjsW/fPof+Ienbt69p166duXbtmnnsscdMr169TEZGhrW9f//+pmHDhg7L/2chc92FCxfMrFmzzK233urQ9V+xYkUzd+5cY8xfu/l9fX1tflTnzp1rypcv77D8smXL2hy62b17t/H29jZpaWnGmL/WvyMLyUqVKplXXnkl2/ZXXnnFVKxY0WH5zv79cXa+s3//QkNDbQrZ4OBgs3fvXuv7ffv2OfQPqTGe/fvr7N8fH8fs58l/tWvX1vr163X//fdn2W6xWBx6smfVqlW1atUqVa9e3Wb6kCFDlJGRoc6dOzss+7rY2FgtX75czz33nGrUqKHp06fLYrE4PFf668z0ChUqyGKx6Pz589q8ebPNWOzZs0eRkZEOy58wYYJatmypSpUqqWHDhvr888/1ww8/qEKFCtqzZ49OnjypRYsWOSw/O4GBgUpKSlJSUpJ27drlsJw+ffooKSlJM2bM0Pr16/Xyyy/rmWee0Y4dO+Tl5aVp06Zp8ODBDsvv1q2bevXqpZEjR8rPz0+vvvqqOnToIF9fX0nSxo0bM+12z0vjxo1Tly5dtGzZsiwfmpecnKw5c+Y4LN/Zvz/Oznf271+5cuW0Y8cOVaxYUdJfh9IKFy5sbd+7d69Klizp0D548u+vs39/3GaPzLZt28y6deuybb9y5YrZv3+/w/KnT59uHnrooWzbJ02aZGJjYx2W/08///yziYuLM15eXvnyL4LZs2fbvK4f5rlu3LhxZtCgQQ7tw5UrV8y0adNMmzZtTKVKlUyFChVMs2bNzDPPPGMOHTrk0OzmzZubU6dOOTTj33zyySfmiSeeMHPmzDHGGLN06VLTpEkTU7t2bfPss8+a9PR0h2VfvXrVDBs2zERHR5tbbrnFdOnSxZw4ccLa/ssvv5iffvrJYfnGGLNy5UrzwAMPmJiYGOPr62t8fX1NTEyMeeCBB8yqVascmu3s3x9n5zv792/+/Pk5bl8TJ040o0aNclj+P3ni768zf3/c5mRfZHb+/Hnt3btX8fHx1n8ZAwAc7/rvb6VKleTn5+fs7rg1ChkAbssYo4yMDHl7e3tM/pkzZ3T06FFJUmRkpEJCQvItm3zynZLvsH09TvDdd9+Znj17mqFDh5rt27fbtJ08edK0aNHCY/JTUlKcms/ys/3lZ/7Vq1fNyJEjTdOmTc2YMWOMMca8+OKLJjAw0Pj6+ppu3bpZTzx2x3xj/jq8Ex8fb7y8vGxe8fHxZsaMGQ7NJj9zvsVi8ejlz898tylkPvnkE+Pt7W3atm1rbr31VuPv728+/vhja7ujL/8jn3zynZc/atQoExERYZ566ilTuXJl06dPH1OqVCnz8ccfmw8++MCUKFHCTJ482W3zrxdNw4cPN0uXLjUpKSkmJSXFLF261IwYMcIEBQWZl156iXzy3TLfbQqZmjVrmtdff936ft68eSYoKMhaCTr6h5R88sl3Xn6ZMmXMN998Y4z569JvLy8v6+Wg1/tTtWpVt82PiYnJ8fLruXPnmlKlSpFPvlvmu00h888bIhljzH//+18THBxspk2blu83ZCKffPLzL9/f398cPHjQ5v3fD6/t27fPFC5c2K3z/3k47++2bdvm0Pv4kE++M/PdppD5+51d/27ZsmUmODjYjBw50qE/pOSTT77z8iMiIszmzZut7xs1amR+//136/vt27ebIkWKuG1+kyZNTLdu3czVq1cztV27ds1069bNNG3alHzy3TLfbW6IV69ePS1cuFANGjSwmd6sWTN98803ateuHfnkk++m+ZUrV9aGDRtUrVo1SdLKlStt2rds2aLy5cu7bf6bb76pxMRERUZGqmnTpjY3BFy+fLl8fX21ePFi8sl3y3wvh31zPhs0aJD8/f2zbGvevLm++eYbdevWjXzyyXfD/HfeeUdNmzbNtv3q1asaNmyY2+ZXr15du3bt0vjx41W4cGHt27dP+/btU+HChfX8889rx44dqlq1Kvnku2U+95EBAAAuy232yGSlbdu2OnLkCPnkk08++eST76b5bl3ILF++XJcuXSKffPLJJ5988t00360LGQAA4N7cupApXbq0ChUqRD755JNPPvnku2k+J/sCAACX5XZ7ZDIyMrKdfvDgQfLJJ598t83PzoULF7R8+XLyyXfLfLcpZM6ePav7779fQUFBioiI0JgxY5Senm5tP3HihOLi4sgnn3zy3S7/3+zZs0ctWrQgn3y3zHebO/uOHj1amzZt0kcffaTTp0/r+eef14YNGzR//nz5+vpKkhx5FI188skn31n5gEdz2MMP8llMTIxZunSp9f2JEydMvXr1TKtWrczly5cd/tA68sknn3xn5RctWjTHV5EiRcgn323z3eZk38DAQG3bts1m9+25c+eUmJiogIAAzZgxQ+XKlbPZ3Us++eST7w75QUFBevzxx63PevqnAwcO6LnnniOffLfMd5s9MhUrVjTfffddpunnzp0zDRs2NDVq1HBoRUg++eST76z8Ro0amSlTpmTbvnHjRvLJd9t8tznZt1WrVpo1a1am6cHBwVq0aFG2D7Qjn3zyyXf1/LZt2+r06dPZthcrVsyhD+0kn3xn5rvNHpmTJ0+arVu3Ztt+9uxZs2zZMvLJJ598t8sHPJnbnCMDAAA8j9tcfv1vjh07pnfffVdjxowhn3zyyXe7/CtXrug///mPVq9eraNHj0qSIiMj1ahRI911113Wy8DJJ9/d8j1mj8ymTZtUq1Ytx501TT755JPvpPw9e/YoMTFRhw8fVv369RURESHprwLql19+UcmSJbVw4UKVK1eOfPLdLt9t9shs3rw5x/adO3eSTz755Ltl/vVLX3/77TcVKVLEpu3s2bPq1q2b+vXrp0WLFpFPvtvlu83JvhaLxXh5eRmLxZLpdX26Q2/IQz755JPvpPyAgACzZcuWbNs3b95sAgICyCffLfPdZo9MsWLF9OKLL+r222/Psn3btm1q3749+eSTT77b5YeGhmr//v2qWrVqlu379+9XaGgo+eS7Zb7bFDK1a9fW4cOHVbp06SzbT58+7dBnnZBPPvnkOyu/V69e6tatm0aPHq3bb7/d5hyFJUuW6Pnnn1f//v3JJ98t893m0NL8+fPNRx99lG37yZMnzezZs8knn3zy3S7fGGMmTZpkoqKirIexrh/SioqKMpMnT3ZoNvnkOzPfY65aAgBPkJqaanP569+f/0Q++e6Y7zaPKMjKypUrlZaWRj755JPvMflxcXFq2LChMjIyFB0dTT757p/v0P09Tla4cGGzd+9e8sknn3zyySffTfPdeo+McfJRM/LJJ5988skn37HcupABAADuza0LmXfffdd6GRj55JNPPvnkk+9++Vy1BABuatmyZapfv74CAgLIJ99t891qj8yMGTPUvXt3zZo1S5I0b948xcfHq0yZMho7diz55JNPvtvmZ6VVq1bav3+/U7LJJz+/8t3mzr5TpkzRqFGjlJiYqJEjR+rw4cN67bXXNGjQIKWnp+uVV15RiRIl9Nhjj5FPPvnku1V+rVq1spx+7do13XPPPfL395ckbdiwgXzy3S7fbQqZd999V++99566dOmi3377TfXq1dM777yjnj17SpJKlCihadOmOeyHhHzyySffWflbtmxRy5Yt1aBBA+s0Y4w2bdqkFi1aKDw83CG55JNfEPLd5j4yAQEB5sCBA9b3fn5+ZuvWrdb3u3fvNqGhoeSTTz75bpe/YsUKU7ZsWTNmzBiTnp5une7j42O2bdvmsFzyyS8I+W5zjkxgYKAuXLhgfR8WFqbg4GCbea5du0Y++eST73b5jRs31vr167Vr1y41atRIe/fudVgW+eQXtHy3KWQqVaqkzZs3W98fOnTI5km0O3bsUGxsLPnkk0++2+VLUkhIiD799FP17t1bt956q9577z1ZLBaHZpJPfkHId5tzZCZPnqygoKBs2w8ePKjevXuTTz755Ltd/t/16NFDt956q7p27erQvUDkk19Q8rmPDAC4oYyMDJ07d05FihTJ13+Zk09+fudTyAAAAJflNufISNLbb7+tli1b6v7779eSJUts2v7880+VKVOGfPLJJ5988sl3o3y3KWSmTp2qoUOHqlKlSvLz81ObNm00ceJEa3t6eroOHDhAPvnkk08++eS7Ub7b3EemcuXK5pNPPrG+X7lypQkLCzOjR482xhhz9OhR4+XlRT755JNPPvnku1G+2xQyAQEBJjU11Wbali1bTEREhBk+fLjDB5J88sknn3zyyc//fLe5/Lp48eI6dOiQzb0aqlatqv/+97+67bbbdPjwYfLJJ5988skn383y3WaPTOfOnc3AgQOzbNu6dasJCwtzaEVIPvnkk08++eTnf77bFDKbNm0yM2fOzLZ9y5Yt5tlnnyWffPLJJ5988t0on/vIAAAAl+U258hct3btWq1evVpHjx6VJEVGRqphw4aqV68e+eSTTz755JPvbvkO29eTz44dO2YaN25sLBaLKV26tKlXr56pV6+eKV26tLFYLObWW281x44dI5988sknn3zy3SjfbQqZe+65xzRs2NDs2LEjU9uOHTtMo0aNzL333ks++eSTTz755LtRvtsUMsHBwWbDhg3Ztv/6668mODiYfPLJJ5988sl3o3y3eUSBn5+fzp49m237uXPn5OfnRz755JNPPvnku1G+2+yR6du3ryldurSZP3++OXPmjHX6mTNnzPz5801sbKx54oknyCeffPLJJ598N8p3m0Lm8uXLpk+fPsbX19d4eXkZf39/4+/vb7y8vIyvr695/PHHzeXLl8knn3zyySeffDfKd7v7yJw9e1br16+3ufyrdu3aKlKkCPnkk08++eST72b5blfIAAAAz+E2J/tK0qVLl7RixQqlpKRkart8+bI+/PBD8sknn3zyySffnfIddtAqn+3cudN68x0vLy/TtGlT88cff1jbHf0YcfLJJ5988sknP//z3WaPzNNPP62qVavq+PHj2rlzpwoXLqxbb71VBw8eJJ988sknn3zy3TTfbfbIhIeHm82bN1vfZ2RkmD59+piYmBizd+9eh1eE5JNPPvnkk09+/ue7TSFTuHBhk5KSkml6v379TMmSJc3y5csdOpDkk08++eSTT37+57tNIVO3bl3z4YcfZtnWr18/Exoa6tCBJJ988sknn3zy8z/fbQqZCRMmmNatW2fb/vjjjxuLxUI++eSTTz755LtRPveRAQAALsttrloCAACeh0IGAAC4LAoZAADgsihkAACAy6KQAXDDkpKS1LFjR6flP/zww5owYYLT8rPz559/Kjw8XL///ruzuwK4Pa5aApAli8WSY/vYsWM1aNAgGWMUGhqaP536m02bNum2227TgQMHFBwcLElq3ry5fvrpJ0mSr6+vihcvrlq1aqlHjx66++6787V/Q4YM0alTp/T+++/nay7gaShkAGTp6NGj1v+eN2+exowZo507d1qnBQcHWwsIZ+jVq5d8fHz0zjvvWKc1b95cFSpU0Lhx43Tt2jX9/vvvWrBggV577TUlJSXpvffey7f+bdu2TbVr19bhw4dVrFixfMsFPA2HlgBkKTIy0voKCQmRxWKxmRYcHJzp0FLz5s3Vv39/DRw4UEWLFlVERISmT5+uCxcuqEePHipcuLDKlSunhQsX2mRt3bpVrVu3VnBwsCIiIvTwww/rzz//zLZv6enp+uKLL9S+fftMbYGBgYqMjFTJkiXVoEEDTZ48We+++66mT5+uH3/80Trf008/rQoVKigwMFBlypTR6NGjdfXqVUnS/v375eXlpV9//dXmu6dMmaLSpUsrIyNDp06dUteuXRUWFqaAgACVL19es2bNss5bpUoVRUdHa8GCBXaNOwD7UMgAyFMffPCBihcvrrVr16p///56/PHHdd9996lRo0basGGDWrVqpYcfflgXL16UJJ0+fVq33XabEhIS9Ouvvyo5OVnHjh3T/fffn23G5s2bdebMGdWpUydXferevbuKFi2q+fPnW6cVLlxYs2fPVkpKil5//XVNnz5dr732miQpNjZWLVu2tClMJGnWrFlKSkqSl5eXRo8erZSUFC1cuFDbt2/XtGnTVLx4cZv569Wrp59//jlXfQRwYyhkAOSpGjVqaNSoUSpfvrxGjBghf39/FS9eXI8++qjKly+vMWPG6H//+582b94sSXrzzTeVkJCgCRMmqFKlSkpISNDMmTO1dOlS7dq1K8uMAwcOyNvbW+Hh4bnqk5eXlypUqKD9+/dbp40aNUqNGjVSbGys2rdvryFDhuizzz6ztvfq1Uuffvqp0tLSJEkbNmzQli1b1KNHD0nSwYMHlZCQoDp16lgLn3/uIYqOjtaBAwdyPXYA7EchAyBPVa9e3frf3t7euuWWW1StWjXrtIiICEnS8ePHJf110u7SpUut59wEBwerUqVKkqS9e/dmmXHp0iX5+fn96wnJf2eMsZl/3rx5aty4sfUw2ahRo3Tw4EFre8eOHeXt7W09NDR79my1aNFCsbGxkqTHH39cc+fOVc2aNTVs2DCtWrUqU2ZAQIB1zxMAx6CQAZCnChUqZPPeYrHYTLteTGRkZEiSzp8/r/bt22vjxo02r927d6tp06ZZZhQvXlwXL17UlStXctWn9PR07d69W3FxcZKk1atXq2vXrmrTpo2+/fZb/fbbbxo5cqTN9/n6+qpbt26aNWuWrly5ojlz5uiRRx6xtrdu3VoHDhzQoEGDdPjwYd1+++0aMmSITe7JkycVFhaWqz4CuDE+zu4AAM9Wq1Ytffnll4qNjZWPT+5+kmrWrClJSklJsf53Tj744AOdOnVK99xzjyRp1apVKl26tEaOHGmdJ6tDQL169VLVqlX19ttv69q1a5ku4Q4LC1P37t3VvXt3NWnSREOHDtXLL79sbd+6dauaN2+eq2UCcGPYIwPAqfr166eTJ0+qc+fOWrdunfbu3atFixapR48eSk9Pz/IzYWFhqlWrllasWJGp7eLFizp69Kh+//13rVmzRk8//bT69Omjxx9/XC1atJAklS9fXgcPHtTcuXO1d+9eTZ06Ncuri+Lj49WgQQM9/fTT6ty5swICAqxtY8aM0VdffaU9e/Zo27Zt+vbbbxUfH2/Tj/Xr16tVq1Y3O0QAckAhA8CpoqOjtXLlSqWnp6tVq1aqVq2aBg4cqNDQUHl5Zf8T1atXL33yySeZpk+fPl1RUVEqW7as7r77bqWkpGjevHl6++23rfN06NBBgwYN0hNPPKGaNWtq1apVGj16dJY5PXv21JUrV2wOK0l/HXoaMWKEqlevrqZNm8rb21tz5861tn/11VeKiYlRkyZN7B0SAHbghngAXNKlS5dUsWJFzZs3Tw0bNnRYzvjx4/X5559br7LKrQYNGmjAgAHq0qWLg3oGQGKPDAAXFRAQoA8//DDHG+fdjPPnz2vr1q1688031b9/f7s+++eff+ruu+9W586dHdI3AP8fe2QAIAtJSUn69NNP1bFjR82ZM0fe3t7O7hKALFDIAAAAl8WhJQAA4LIoZAAAgMuikAEAAC6LQgYAALgsChkAAOCyKGQAAIDLopABAAAui0IGAAC4LAoZAADgsv4fnBQXhx2uMKMAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for user in df_users['User First Name'].unique():\n",
" df_user_1 = df_users[df_users['User First Name'] == user]\n",
" df_user_1.plot(x ='Calendar Date (Local)', y='Duration (h)', kind='bar'),\n",
" plt.ylim(ymin=0)\n",
" plt.xlim(xmin=0)\n",
" plt.ylabel(\"Sleep duration (h)\")\n",
" plt.xlabel(\"Time (Days)\")\n",
" plt.title(\"Sleeping time of user \" + user)\n",
" \n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "01f18f51-1340-4420-ba2d-2377e44c0763",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"DESCRIPTION OF PARTICIPANT ------- P10\n",
" Calendar Date (Local) Duration (s) Rem Sleep Duration (s) \\\n",
"count 10 10.000000 10.00000 \n",
"mean 2023-12-28 00:00:00 29376.000000 9612.00000 \n",
"min 2023-12-22 00:00:00 25980.000000 6000.00000 \n",
"25% 2023-12-25 06:00:00 28065.000000 7230.00000 \n",
"50% 2023-12-27 12:00:00 28500.000000 8520.00000 \n",
"75% 2023-12-30 12:00:00 30750.000000 10425.00000 \n",
"max 2024-01-04 00:00:00 32700.000000 19920.00000 \n",
"std NaN 2203.125053 3992.67329 \n",
"\n",
" Deep Sleep Duration (s) Light Sleep Duration (s) Sleep Efficiency \\\n",
"count 10.000000 10.00000 10.000000 \n",
"mean 6048.000000 16746.00000 0.991583 \n",
"min 3000.000000 12060.00000 0.958963 \n",
"25% 5415.000000 13245.00000 0.987986 \n",
"50% 5910.000000 14490.00000 0.997246 \n",
"75% 6915.000000 16185.00000 1.000000 \n",
"max 10080.000000 35280.00000 1.000000 \n",
"std 2044.856963 6856.38097 0.013269 \n",
"\n",
" Sleep Score Value Duration (h) Deep Sleep Duration (h) \\\n",
"count 10.000000 10.000000 10.000000 \n",
"mean 91.400000 8.160000 1.680000 \n",
"min 81.000000 7.216667 0.833333 \n",
"25% 91.000000 7.795833 1.504167 \n",
"50% 91.000000 7.916667 1.641667 \n",
"75% 93.750000 8.541667 1.920833 \n",
"max 98.000000 9.083333 2.800000 \n",
"std 4.351245 0.611979 0.568016 \n",
"\n",
" Light Sleep Duration (h) Rem Sleep Duration (h) \n",
"count 10.000000 10.000000 \n",
"mean 4.651667 2.670000 \n",
"min 3.350000 1.666667 \n",
"25% 3.679167 2.008333 \n",
"50% 4.025000 2.366667 \n",
"75% 4.495833 2.895833 \n",
"max 9.800000 5.533333 \n",
"std 1.904550 1.109076 \n",
"DESCRIPTION OF PARTICIPANT ------- P11\n",
" Calendar Date (Local) Duration (s) Rem Sleep Duration (s) \\\n",
"count 6 6.000000 6.000000 \n",
"mean 2024-01-01 12:00:00 23500.000000 4960.000000 \n",
"min 2023-12-29 00:00:00 17460.000000 2940.000000 \n",
"25% 2023-12-30 06:00:00 21165.000000 3975.000000 \n",
"50% 2024-01-01 12:00:00 24360.000000 4620.000000 \n",
"75% 2024-01-03 18:00:00 26340.000000 6120.000000 \n",
"max 2024-01-05 00:00:00 27720.000000 7200.000000 \n",
"std NaN 3962.302361 1623.625573 \n",
"\n",
" Deep Sleep Duration (s) Light Sleep Duration (s) Sleep Efficiency \\\n",
"count 6.000000 6.00000 6.000000 \n",
"mean 6270.000000 13400.00000 0.867166 \n",
"min 3360.000000 9120.00000 0.697248 \n",
"25% 4530.000000 10455.00000 0.859684 \n",
"50% 6450.000000 10890.00000 0.900000 \n",
"75% 7425.000000 11505.00000 0.913443 \n",
"max 9720.000000 27480.00000 0.941581 \n",
"std 2359.991525 6949.40573 0.088690 \n",
"\n",
" Sleep Score Value Duration (h) Deep Sleep Duration (h) \\\n",
"count 6.000000 6.000000 6.000000 \n",
"mean 65.333333 6.527778 1.741667 \n",
"min 47.000000 4.850000 0.933333 \n",
"25% 62.500000 5.879167 1.258333 \n",
"50% 66.500000 6.766667 1.791667 \n",
"75% 72.750000 7.316667 2.062500 \n",
"max 76.000000 7.700000 2.700000 \n",
"std 10.500794 1.100640 0.655553 \n",
"\n",
" Light Sleep Duration (h) Rem Sleep Duration (h) \n",
"count 6.000000 6.000000 \n",
"mean 3.722222 1.377778 \n",
"min 2.533333 0.816667 \n",
"25% 2.904167 1.104167 \n",
"50% 3.025000 1.283333 \n",
"75% 3.195833 1.700000 \n",
"max 7.633333 2.000000 \n",
"std 1.930390 0.451007 \n",
"DESCRIPTION OF PARTICIPANT ------- P12\n",
" Calendar Date (Local) Duration (s) Rem Sleep Duration (s) \\\n",
"count 12 12.000000 12.000000 \n",
"mean 2023-12-28 16:00:00 26683.333333 8713.333333 \n",
"min 2023-12-23 00:00:00 16000.000000 2200.000000 \n",
"25% 2023-12-25 18:00:00 23535.000000 3495.000000 \n",
"50% 2023-12-28 12:00:00 27270.000000 5580.000000 \n",
"75% 2023-12-31 06:00:00 30135.000000 7200.000000 \n",
"max 2024-01-04 00:00:00 35400.000000 48240.000000 \n",
"std NaN 5768.086706 12614.803233 \n",
"\n",
" Deep Sleep Duration (s) Light Sleep Duration (s) Sleep Efficiency \\\n",
"count 12.000000 12.00000 12.000000 \n",
"mean 8240.000000 30800.00000 0.742926 \n",
"min 3600.000000 7500.00000 -0.902748 \n",
"25% 4050.000000 13650.00000 0.827210 \n",
"50% 5100.000000 16740.00000 0.922131 \n",
"75% 6930.000000 22755.00000 0.956217 \n",
"max 31680.000000 172800.00000 1.000000 \n",
"std 8284.478367 45301.05357 0.529593 \n",
"\n",
" Sleep Score Value Duration (h) Deep Sleep Duration (h) \\\n",
"count 12.000000 12.000000 12.000000 \n",
"mean 69.333333 7.412037 2.288889 \n",
"min 32.000000 4.444444 1.000000 \n",
"25% 62.750000 6.537500 1.125000 \n",
"50% 77.500000 7.575000 1.416667 \n",
"75% 80.250000 8.370833 1.925000 \n",
"max 89.000000 9.833333 8.800000 \n",
"std 18.006733 1.602246 2.301244 \n",
"\n",
" Light Sleep Duration (h) Rem Sleep Duration (h) \n",
"count 12.000000 12.000000 \n",
"mean 8.555556 2.420370 \n",
"min 2.083333 0.611111 \n",
"25% 3.791667 0.970833 \n",
"50% 4.650000 1.550000 \n",
"75% 6.320833 2.000000 \n",
"max 48.000000 13.400000 \n",
"std 12.583626 3.504112 \n",
"DESCRIPTION OF PARTICIPANT ------- P14\n",
" Calendar Date (Local) Duration (s) Rem Sleep Duration (s) \\\n",
"count 16 16.000000 16.000000 \n",
"mean 2023-12-29 12:00:00 28210.937500 6633.437500 \n",
"min 2023-12-21 00:00:00 17875.000000 3955.000000 \n",
"25% 2023-12-25 18:00:00 27075.000000 5130.000000 \n",
"50% 2023-12-29 12:00:00 27780.000000 6330.000000 \n",
"75% 2024-01-02 06:00:00 29970.000000 8310.000000 \n",
"max 2024-01-08 00:00:00 35700.000000 10080.000000 \n",
"std NaN 4195.229918 1967.010184 \n",
"\n",
" Deep Sleep Duration (s) Light Sleep Duration (s) Sleep Efficiency \\\n",
"count 16.000000 16.000000 16.000000 \n",
"mean 5047.500000 17846.250000 0.986199 \n",
"min 1740.000000 12060.000000 0.945720 \n",
"25% 3405.000000 15600.000000 0.976430 \n",
"50% 4890.000000 17160.000000 0.993282 \n",
"75% 6015.000000 18825.000000 0.996166 \n",
"max 12120.000000 33720.000000 1.000000 \n",
"std 2523.414354 5026.886213 0.015316 \n",
"\n",
" Sleep Score Value Duration (h) Deep Sleep Duration (h) \\\n",
"count 13.000000 16.000000 16.000000 \n",
"mean 90.307692 7.836372 1.402083 \n",
"min 82.000000 4.965278 0.483333 \n",
"25% 89.000000 7.520833 0.945833 \n",
"50% 91.000000 7.716667 1.358333 \n",
"75% 93.000000 8.325000 1.670833 \n",
"max 95.000000 9.916667 3.366667 \n",
"std 3.902662 1.165342 0.700948 \n",
"\n",
" Light Sleep Duration (h) Rem Sleep Duration (h) \n",
"count 16.000000 16.000000 \n",
"mean 4.957292 1.842622 \n",
"min 3.350000 1.098611 \n",
"25% 4.333333 1.425000 \n",
"50% 4.766667 1.758333 \n",
"75% 5.229167 2.308333 \n",
"max 9.366667 2.800000 \n",
"std 1.396357 0.546392 \n"
]
}
],
"source": [
"for user in df_users['User First Name'].unique():\n",
" df_user_1 = df_users[df_users['User First Name'] == user]\n",
" print(\"DESCRIPTION OF PARTICIPANT ------- \", user)\n",
" print(df_user_1.describe())"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "9853a401-c98f-49f7-8e0b-b7c4cc7278b3",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Duration (h)</th>\n",
" </tr>\n",
" <tr>\n",
" <th>User First Name</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>P10</th>\n",
" <td>8.160000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P11</th>\n",
" <td>6.527778</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P12</th>\n",
" <td>7.412037</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P14</th>\n",
" <td>7.836372</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Duration (h)\n",
"User First Name \n",
"P10 8.160000\n",
"P11 6.527778\n",
"P12 7.412037\n",
"P14 7.836372"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_user_group_duration = pd.DataFrame(df_users.groupby(df_users['User First Name'])['Duration (h)'].mean())\n",
"df_user_group_duration"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "2f90a190-e391-4278-81d3-7db199ed4ba9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Deep Sleep Duration (h)\n",
"User First Name \n",
"P10 1.680000\n",
"P11 1.741667\n",
"P12 2.288889\n",
"P14 1.402083\n",
"---------------------------\n",
" Light Sleep Duration (h)\n",
"User First Name \n",
"P10 4.651667\n",
"P11 3.722222\n",
"P12 8.555556\n",
"P14 4.957292\n",
"---------------------------\n",
" Rem Sleep Duration (h)\n",
"User First Name \n",
"P10 2.670000\n",
"P11 1.377778\n",
"P12 2.420370\n",
"P14 1.842622\n",
"---------------------------\n"
]
}
],
"source": [
"for category in ['Deep Sleep Duration (h)', 'Light Sleep Duration (h)', 'Rem Sleep Duration (h)']:\n",
" df_user_group_cat_duration = pd.DataFrame(df_users.groupby(df_users['User First Name'])[category].mean())\n",
" print(df_user_group_cat_duration)\n",
" print(\"---------------------------\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "44655bc0-bd52-4ace-8172-c36910d40e75",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Duration (h)</th>\n",
" </tr>\n",
" <tr>\n",
" <th>User First Name</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>P10</th>\n",
" <td>0.611979</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P11</th>\n",
" <td>1.100640</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P12</th>\n",
" <td>1.602246</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P14</th>\n",
" <td>1.165342</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Duration (h)\n",
"User First Name \n",
"P10 0.611979\n",
"P11 1.100640\n",
"P12 1.602246\n",
"P14 1.165342"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_standard_deviation = pd.DataFrame(df_users.groupby(df_users['User First Name'])['Duration (h)'].std())\n",
"df_standard_deviation"
]
},
{
"cell_type": "markdown",
"id": "638ad1a3-bcd9-4d67-8039-72ad0b9a0254",
"metadata": {},
"source": [
"## Sleep Quality of Participants"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "37a3ce0c-c46a-42d0-8942-7be421ea7b1d",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for user in df_users['User First Name'].unique():\n",
" df_user_1 = df_users[df_users['User First Name'] == user]\n",
" df_user_1.plot(x ='Calendar Date (Local)', y='Sleep Score Value', kind='bar'),\n",
" plt.ylim(ymin=0)\n",
" plt.xlim(xmin=0)\n",
" plt.ylabel(\"Sleep Score Value\")\n",
" plt.xlabel(\"Time (Days)\")\n",
" plt.title(\"Sleep Score Value of user \" + user)\n",
" \n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "4fbd2d3e-ef02-4f98-ab4b-95dfadaeef59",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for user in df_users['User First Name'].unique():\n",
" df_user_1 = df_users[df_users['User First Name'] == user]\n",
" df_user_1.plot(x ='Calendar Date (Local)', y='Sleep Efficiency', kind='bar'),\n",
" plt.ylim(ymin=0)\n",
" plt.xlim(xmin=0)\n",
" plt.ylabel(\"Sleep Efficiency\")\n",
" plt.xlabel(\"Time (Days)\")\n",
" plt.title(\"Sleep Efficiency of user \" + user)\n",
" \n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "981a7d38-bdba-418e-a5f2-cae73d50cbc1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Sleep Score Value\n",
"User First Name \n",
"P10 91.400000\n",
"P11 65.333333\n",
"P12 69.333333\n",
"P14 90.307692\n",
"---------------------------\n",
" Sleep Efficiency\n",
"User First Name \n",
"P10 0.991583\n",
"P11 0.867166\n",
"P12 0.742926\n",
"P14 0.986199\n",
"---------------------------\n"
]
}
],
"source": [
"for category in ['Sleep Score Value', 'Sleep Efficiency']:\n",
" df_user_group_cat_duration = pd.DataFrame(df_users.groupby(df_users['User First Name'])[category].mean())\n",
" print(df_user_group_cat_duration)\n",
" print(\"---------------------------\")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "433324b9-c50d-4fe2-87be-3baa66ee856e",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Sleep Efficiency</th>\n",
" <th>Sleep Score Value</th>\n",
" <th>Duration (h)</th>\n",
" <th>Deep Sleep Duration (h)</th>\n",
" <th>Light Sleep Duration (h)</th>\n",
" <th>Rem Sleep Duration (h)</th>\n",
" </tr>\n",
" <tr>\n",
" <th>User First Name</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>P10</th>\n",
" <td>0.991583</td>\n",
" <td>91.400000</td>\n",
" <td>8.160000</td>\n",
" <td>1.680000</td>\n",
" <td>4.651667</td>\n",
" <td>2.670000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P11</th>\n",
" <td>0.867166</td>\n",
" <td>65.333333</td>\n",
" <td>6.527778</td>\n",
" <td>1.741667</td>\n",
" <td>3.722222</td>\n",
" <td>1.377778</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P12</th>\n",
" <td>0.742926</td>\n",
" <td>69.333333</td>\n",
" <td>7.412037</td>\n",
" <td>2.288889</td>\n",
" <td>8.555556</td>\n",
" <td>2.420370</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P14</th>\n",
" <td>0.986199</td>\n",
" <td>90.307692</td>\n",
" <td>7.836372</td>\n",
" <td>1.402083</td>\n",
" <td>4.957292</td>\n",
" <td>1.842622</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Sleep Efficiency Sleep Score Value Duration (h) \\\n",
"User First Name \n",
"P10 0.991583 91.400000 8.160000 \n",
"P11 0.867166 65.333333 6.527778 \n",
"P12 0.742926 69.333333 7.412037 \n",
"P14 0.986199 90.307692 7.836372 \n",
"\n",
" Deep Sleep Duration (h) Light Sleep Duration (h) \\\n",
"User First Name \n",
"P10 1.680000 4.651667 \n",
"P11 1.741667 3.722222 \n",
"P12 2.288889 8.555556 \n",
"P14 1.402083 4.957292 \n",
"\n",
" Rem Sleep Duration (h) \n",
"User First Name \n",
"P10 2.670000 \n",
"P11 1.377778 \n",
"P12 2.420370 \n",
"P14 1.842622 "
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_x = df_users.groupby('User First Name')[['Sleep Efficiency', 'Sleep Score Value', 'Duration (h)', 'Deep Sleep Duration (h)', 'Light Sleep Duration (h)', 'Rem Sleep Duration (h)']].mean()\n",
"df_x"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "fb01b1ab-f573-4d22-a3d7-27f0b0d8001e",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Sleep Efficiency</th>\n",
" <th>Sleep Score Value</th>\n",
" <th>Duration (h)</th>\n",
" <th>Deep Sleep Duration (h)</th>\n",
" <th>Light Sleep Duration (h)</th>\n",
" <th>Rem Sleep Duration (h)</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>Sleep Efficiency</th>\n",
" <td>1.000000</td>\n",
" <td>0.844358</td>\n",
" <td>0.540695</td>\n",
" <td>-0.919281</td>\n",
" <td>-0.729499</td>\n",
" <td>0.015292</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Sleep Score Value</th>\n",
" <td>0.844358</td>\n",
" <td>1.000000</td>\n",
" <td>0.899943</td>\n",
" <td>-0.650263</td>\n",
" <td>-0.251236</td>\n",
" <td>0.458470</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Duration (h)</th>\n",
" <td>0.540695</td>\n",
" <td>0.899943</td>\n",
" <td>1.000000</td>\n",
" <td>-0.254900</td>\n",
" <td>0.158886</td>\n",
" <td>0.780231</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Deep Sleep Duration (h)</th>\n",
" <td>-0.919281</td>\n",
" <td>-0.650263</td>\n",
" <td>-0.254900</td>\n",
" <td>1.000000</td>\n",
" <td>0.809607</td>\n",
" <td>0.356684</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Light Sleep Duration (h)</th>\n",
" <td>-0.729499</td>\n",
" <td>-0.251236</td>\n",
" <td>0.158886</td>\n",
" <td>0.809607</td>\n",
" <td>1.000000</td>\n",
" <td>0.517985</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Rem Sleep Duration (h)</th>\n",
" <td>0.015292</td>\n",
" <td>0.458470</td>\n",
" <td>0.780231</td>\n",
" <td>0.356684</td>\n",
" <td>0.517985</td>\n",
" <td>1.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Sleep Efficiency Sleep Score Value Duration (h) \\\n",
"Sleep Efficiency 1.000000 0.844358 0.540695 \n",
"Sleep Score Value 0.844358 1.000000 0.899943 \n",
"Duration (h) 0.540695 0.899943 1.000000 \n",
"Deep Sleep Duration (h) -0.919281 -0.650263 -0.254900 \n",
"Light Sleep Duration (h) -0.729499 -0.251236 0.158886 \n",
"Rem Sleep Duration (h) 0.015292 0.458470 0.780231 \n",
"\n",
" Deep Sleep Duration (h) Light Sleep Duration (h) \\\n",
"Sleep Efficiency -0.919281 -0.729499 \n",
"Sleep Score Value -0.650263 -0.251236 \n",
"Duration (h) -0.254900 0.158886 \n",
"Deep Sleep Duration (h) 1.000000 0.809607 \n",
"Light Sleep Duration (h) 0.809607 1.000000 \n",
"Rem Sleep Duration (h) 0.356684 0.517985 \n",
"\n",
" Rem Sleep Duration (h) \n",
"Sleep Efficiency 0.015292 \n",
"Sleep Score Value 0.458470 \n",
"Duration (h) 0.780231 \n",
"Deep Sleep Duration (h) 0.356684 \n",
"Light Sleep Duration (h) 0.517985 \n",
"Rem Sleep Duration (h) 1.000000 "
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_x.corr()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "6d902977-0435-4986-93d3-ca24a20cd66e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: 0.899943078622799\n"
]
},
{
"data": {
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B/H0Lo+7O9cCqKbBIScH60GWwnX8CFrbKXO+FIzJERESkvydPgMBAWIwfD4uUFACA/aULsDh4QJZ2GGSIiIhIPwcOAFWqAH/+qa15eAChoUCrVrK0xCBDRER5jlotcPFuHA5de4KLd+NydafZPOnNG2DmTKBZM+DBA229TRsgLAxo0kS21rhGhoiI8hRTOtAwT7h9G+jdGzh6VFuztgYWLADGjgUUuX/idXoMMkRElGekHWj437OAYhOTMfm3cFnuqjFr27cDgwcDL15oa35+wJYtQI0asrWVHqeWiIgoTzDFAw3N1qtXwEcfAV266IaYfv2Ac+dMJsQAMgeZ+Ph4jB07Fl5eXrCzs4O/vz9Onz6teVwIgVmzZsHd3R12dnZo3rw5oqKiZOyYiIhMlSkeaGiWLl8GatcGVqzQ1hwcgHXrpK8CBeTrLROyBpkhQ4Zg7969WL9+PS5evIiWLVuiefPmuHfvHgBg4cKFWL58OX744QecPHkSDg4OCAgIwOvXr+Vsm4iITJApHmhoVoQAVq0CatUCLl3S1qtXB86fl0ZjTJBsQebVq1f47bffsHDhQnz44Yfw8/PDZ599Bj8/P6xYsQJCCCxduhQzZsxAhw4dULlyZaxbtw7379/HH3/8IVfbRERkokzxQEOz8eIF0KMHMGyYNK2UZuxY4NgxoHRpuTp7J9mCzJs3b5CamgpbW1udup2dHY4cOYLo6Gg8fPgQzZs31zzm7OyMOnXq4Pjx41m+b1JSElQqlc4XERHlfaZ4oKFZOHECqFYN2LZNWytSBNi1C/j6a0CZ+7v1GkK2IFOgQAHUq1cPwcHBuH//PlJTU7FhwwYcP34cDx48wMOHDwEAxYoV03ldsWLFNI9lZv78+XB2dtZ8eXp6GvU6iIjINGR6oOH/k+tAQ5OmVgNffgk0aADExGjrTZoAFy4AbdvK1pohZF0js379egghULx4cSiVSixfvhy9evWChUX225o2bRri4uI0X3fu3MnBjomIyJSlP9DQtYASheyt4VpAKduBhibr4UMgIACYNg1ITZVqlpZAcDCwd6+0W6+ZkHUfGV9fXxw6dAgvX76ESqWCu7s7evToAR8fH7i5uQEAHj16BHd3d81rHj16hKpVq2b5nkqlEkoTHwYjIiLj8fcrgro+hXH5vgrPE5PhYm+DCh5OHIlJs2cP0L8/8PixtlayJLBpE1C/vnx9ZZNJ7CPj4OAAd3d3xMbGYs+ePejQoQO8vb3h5uaG0NBQzfNUKhVOnjyJevXqydgtERGZOgsLBSqVcEajMkVRqYQzQwwAJCcDkyZJZyKlDzGdO0vHDJhhiAFkHpHZs2cPhBAoW7Ysrl+/jkmTJqFcuXIYOHAgFAoFxo4di88//xylS5eGt7c3Zs6cCQ8PD3Ts2FHOtomIiMzLjRtAr15Aur3aoFRKi3lHjJD9mIH3IWuQiYuLw7Rp03D37l24uLigS5cumDdvHqytrQEAkydPxsuXLzFs2DC8ePECDRo0wN9//53hTiciIiLKwubNwPDhQHy8tla+PPDLL0ClSvL1lUMUQog8vVezSqWCs7Mz4uLi4OTEW+6IiCifePkS+OQTICREtz50KLB0KWBvL0tb+tL35zcPjSQiIsprLlwAevYErl7V1pydgZUrge7d5evLCExisS8RERHlACGAb78F6tTRDTF160rHDOSxEAMwyBAREeUNz58DnTpJ00lJSVJNoZD2ivn3X8DbW97+jIRTS0RERObu8GGgd2/g7l1tzc0NWL8eSHfUT17EERkiIiJzlZoKzJkDNG6sG2ICAqR1Mnk8xAAckSEiIjJPd+8CffpI00ZprKyk85PGjQPe47gfc8IgQ0REZG527AAGDpTWxaTx8QG2bAFq1ZKvLxnkj7hGRESUF7x+DYweDXTooBtieveW7krKZyEG4IgMERGReYiMBHr0kNa+pLG3l263Dgoy62MG3geDDBERkSkTAlizBvj4YyAxUVuvUkWaSipXTrbWTAGnloiIiEyVSgX07QsMGqQbYj75BDhxIt+HGIAjMkRERKbp9GnpxOobN7Q1Fxfg55+lNTIEgCMyREREpkWtBhYvBvz9dUPMhx9K62MYYnQwyBAREZmKx4+Btm2BSZOAN2+kmoUF8NlnwP79QIkSsrZniji1REREZAr27QP69QMePtTWSpQANm6URmMoUxyRISIiklNKinSwY8uWuiGmQwcgLIwh5h04IkNERCSX6GhpM7sTJ7Q1pRL46ivgo4/y7d4whmCQISIiksPWrcDQodIt1mnKlgV++UXaI4b0wqklIiKi3JSYCAwbJu3Smz7EDBoEnD3LEGMgjsgQERHllosXgZ49gStXtLUCBYAff5T2jCGDcUSGiIjI2IQAVqwAatfWDTE1a0qHPTLEZBuDDBERkTHFxgJdu0qLd1+/1tYnTQKOHgV8feXrLQ/g1BIREZGxHD0q3ZV0+7a25uoKrFsHBATI11cewhEZIiKinJaaCsybBzRqpBtimjeXjhlgiMkxHJEhIiLKSffvSzv07t+vrVlZAcHBwOTJ0pEDlGMYZIiIiHLKn38CQUHA06faWqlSwObNQN26cnWVpzEWEhERva+kJGD8eKBdO90Q062bdFcSQ4zRcESGiIjofURFSXvDnDunrdnZAcuWAUOG8JgBI2OQISIiyq4NG4CRI4GEBG2tYkVgyxagQgX5+spHOLVERERkqIQEYMAAaVFv+hAzciRw6hRDTC7iiAwREZEhzp2TppKiorS1ggWBn34COneWra38iiMyRERE+hBCWvdSr55uiKlfHwgLY4iRCYMMERHRuzx9CrRvD4wdCyQnSzWFApgxAzh4EPDykrO7fI1TS0RERG9z8CDQp4+00V0ad3dg40agSRPZ2iIJR2SIiIgy8+YNMGsW0LSpbohp00Y6ZoAhxiRwRIaIiOi/bt+WRmGOHNHWrK2BhQuBMWO4N4wJYZAhIiJK7/ffgcGDgdhYba10aWlvmOrV5euLMsWpJSIiIgB49QoYNUq6+yh9iOnXDzh7liHGRHFEhoiIKCIC6NEDuHhRW3NwAFaskIIMmSyOyBARUf4lBLB6NVCjhm6IqV5dOuyRIcbkMcgQEVH+FBcn7dA7dKg0rZRm7Fjg2DFpXQyZPE4tERFR/nPiBNCrFxATo60VKQKEhADt2snWFhmOIzJERJR/qNXAl18CDRvqhpjGjaVjBhhizA5HZIiIKH94+FBa87Jvn7ZmYQHMmQNMmwZYWsrXG2UbgwwREeV9f/8N9O8PPHmirXl6Aps2AQ0ayNcXvTdOLRERUd6VnAxMmgS0bq0bYjp1kqaSGGLMHkdkiIgob7pxQ1rQe/q0tqZUAkuXAsOH85iBPELWEZnU1FTMnDkT3t7esLOzg6+vL4KDgyGE0DwnKCgICoVC56tVq1Yydk1ERCZv82agWjXdEFO+vPT9iBEMMXmIrCMyCxYswIoVK7B27VpUqFABZ86cwcCBA+Hs7IzRo0drnteqVSuEhIRovlcqlXK0S0REpu7lS+CTT6TbqNMbOlQaibG3l6UtMh5Zg8yxY8fQoUMHtG3bFgBQqlQpbN68GadOndJ5nlKphJubmxwtEhGRubhwQTpmIDJSW3NyAlatArp3l68vMipZp5b8/f0RGhqKa9euAQAuXLiAI0eOoHXr1jrPO3jwIFxdXVG2bFmMHDkSz549y/I9k5KSoFKpdL6IiCgPEwL49lugTh3dEFOnjrSglyEmT5N1RGbq1KlQqVQoV64cLC0tkZqainnz5qFPnz6a57Rq1QqdO3eGt7c3bty4genTp6N169Y4fvw4LDO553/+/PmYM2dObl4GERHJ5flzYPBg4I8/tDWFApgyBZg7F7C2lq01yh0KkX5lbS7bsmULJk2ahEWLFqFChQoICwvD2LFjsWTJEgwYMCDT19y8eRO+vr7Yt28fmjVrluHxpKQkJCUlab5XqVTw9PREXFwcnJycjHYtRESUyw4fBnr3Bu7e1daKFQPWrwdatJCvL8oRKpUKzs7O7/z5LeuIzKRJkzB16lT07NkTAFCpUiXcunUL8+fPzzLI+Pj4oEiRIrh+/XqmQUapVHIxMBFRXpaaCnz+uTTiolZr6wEBwNq1UpihfEPWIJOYmAgLC91lOpaWllCn/435H3fv3sWzZ8/g7u5u7PaIiMjU3L0L9O0LHDqkrVlZAV98AUyYIB05QPmKrEEmMDAQ8+bNQ8mSJVGhQgWcP38eS5YswaBBgwAACQkJmDNnDrp06QI3NzfcuHEDkydPhp+fHwICAuRsnYiIctuOHcDAgdK6mDQ+PtKeMbVry9cXyUrWNTLx8fGYOXMmfv/9dzx+/BgeHh7o1asXZs2aBRsbG7x69QodO3bE+fPn8eLFC3h4eKBly5YIDg5GMT2HDvWdYyMiIhP1+jUweTLwzTe69V69gB9+kG6xpjxH35/fsgaZ3MAgQ0RkxiIjgZ49pduo09jbS6Fm4EDu0JuHmcViXyIiokwJIS3cHTUKSEzU1itXBn75BShXTr7eyKRwVRQREZkWlUpa0DtwoG6I+fhj4ORJhhjSwREZIiIyHWfOSFNJN25oa4UKSWcndeggX19ksjgiQ0RE8lOrgSVLAH9/3RDTsKF0hhJDDGWBQYaIiOT1+DHQtq20D0xKilSzsABmzwb27wc8PeXtj0wap5aIiEg+oaHSepiHD7W14sWBjRuBRo3k64vMBkdkiIgo96WkANOnS2cipQ8xgYHSVBJDDOmJIzJERJS7YmKkwx6PH9fWbGyAxYulO5O4NwwZgEGGiIhyz7ZtwNChQFyctla2LLBlC1C1qmxtkfni1BIRERlfYiIwbBjQvbtuiAkKkm65ZoihbOKIDBERGdelS0CPHsCVK9pagQLSOUm9e8vXF+UJHJEhIiLjEAL48UegVi3dEFOzJnD+PEMM5QgGGSIiynmxsUC3bsCIEdLp1WkmTACOHgV8feXrjfIUTi0REVHOOnYM6NULuH1bWytaVDoEsnVr+fqiPIkjMkRElDNSU4F584APP9QNMc2aSXvDMMSQEXBEhoiI3t/9+9IOvQcOaGuWlsDnnwOTJ0tHDhAZAYMMERG9nz//lG6jfvpUW/PyAjZvBurVk60tyh8YkYmIKHuSkoDx44F27XRDTLduQFgYQwzlCo7IEBGR4aKigJ49gXPntDU7O2DZMmDIEB4zQLmGQYaIiAyzYQMwciSQkKCtVawoHTNQoYJ8fVG+xKklIiLST0ICMGAA0K+fbogZMQI4dYohhmTBERkiInq3c+ekqaSoKG2tYEFg9WqgSxfZ2iLiiAwREWVNCGDpUqBuXd0Q4+8vLehliCGZMcgQEVHmnj4F2rcHxo0DUlKkmkIBfPopcOiQdIs1kcw4tURERBkdOAD06QM8eKCtubtLC32bNpWvL6L/4IgMERFpvXkDzJolHSuQPsS0aSMdM8AQQyYmW0HmxYsXWL16NaZNm4bnz58DAM6dO4d79+7laHNERJSLbt8GmjQBgoOltTEAYG0NLFkC7NolHfxIZGIMnloKDw9H8+bN4ezsjJiYGAwdOhQuLi7Yvn07bt++jXXr1hmjTyIiMqbffwcGDwZiY7U1Pz9pb5gaNeTri+gdDB6RGT9+PIKCghAVFQVbW1tNvU2bNvj3339ztDkiIjKyV6+Ajz4COnfWDTH9+km3XDPEkIkzeETm9OnT+PHHHzPUixcvjocPH+ZIU0RElAuuXJH2hrl4UVtzcAC+/x7o31++vogMYPCIjFKphEqlylC/du0ainL+lIjI9AkhbWRXs6ZuiKlWTRqFYYghM2JwkGnfvj3mzp2LlP/fU0ChUOD27duYMmUKunBjJCIi0xYXJ43CDB0qTSulGTsWOH4cKFNGttaIssPgIPPVV18hISEBrq6uePXqFRo1agQ/Pz8UKFAA8+bNM0aPRESUE06cAKpWBbZu1dYKFwZ27gS+/hpQKmVrjSi7DF4j4+zsjL179+LIkSMIDw9HQkICqlevjubNmxujPyIiel9qNbBoETBjhrRPTJrGjaUN7ooXl601ovelECJts4C8SaVSwdnZGXFxcXBycpK7HSKi3PXwobTmZe9ebc3CApgzB5g2DbC0lK83orfQ9+e3wSMyc+fOfevjs2bNMvQtiYjIGPbskULM48famqcnsGkT0KCBfH0R5SCDg8zvv/+u831KSgqio6NhZWUFX19fBhkiIrklJ0vTSIsW6dY7dZLuVnJxkacvIiMwOMicP38+Q02lUiEoKAidOnXKkaaIiCibbt6U7ko6fVpbUyqlxbwjRkinVxPlITm2RubixYsIDAxETExMTrxdjuEaGSLKN7ZsAYYPB9Lv9VW+vFSvXFm+voiyQd+f3zl2+nVcXBzi4uJy6u2IiEhfL19K5yT16qUbYgYPlkZmGGIoDzN4amn58uU63wsh8ODBA6xfvx6tW7fOscaIiEgP4eFAjx7A1avampMTsHKlVCfK4wwOMl9//bXO9xYWFihatCgGDBiAadOm5VhjRET0FkJIZyJNmAAkJWnrdeoAmzcD3t7y9UaUiwwOMtHR0cbog4iI9PX8uTRt9McfuvUpU4DgYMDaWpa2iORgcJAhIiIZHT4M9O4N3L2rrRUrBqxfD7RoIV9fRDLRK8h07txZ7zfcvn17tpshIqIspKYCn38OzJ0rHTmQJiAAWLtWCjNE+ZBeQcbZ2dnYfRARUVbu3gX69gUOHdLWrKyA+fOB8eOlIweI8im9gkxISIix+yAioszs3AkEBUnrYtL4+EgLemvXlq0tIlMha4xPTU3FzJkz4e3tDTs7O/j6+iI4OBjp9+gTQmDWrFlwd3eHnZ0dmjdvjqioKBm7JiLKBa9fA6NHA+3b64aYXr2A8+cZYoj+X7YW+/7666/YunUrbt++jeTkZJ3Hzp07p/f7LFiwACtWrMDatWtRoUIFnDlzBgMHDoSzszNGjx4NAFi4cCGWL1+OtWvXwtvbGzNnzkRAQACuXLkCW1vb7LRPRGTaIiOlYwbCwrQ1e3vg22+l0RkeM0CkYfCIzPLlyzFw4EAUK1YM58+fR+3atVG4cGHcvHnT4A3xjh07hg4dOqBt27YoVaoUunbtipYtW+LUqVMApNGYpUuXYsaMGejQoQMqV66MdevW4f79+/jjv7cdEhGZOyGANWuAGjV0Q0zlysDZs8DAgQwxRP9hcJD5/vvvsXLlSnzzzTewsbHB5MmTsXfvXowePdrgIwr8/f0RGhqKa9euAQAuXLiAI0eOaAJRdHQ0Hj58iObNm2te4+zsjDp16uD48eOZvmdSUhJUKpXOFxGRyVOpgH79pLDy8qW2PmoUcPIkUK6cfL0RmTCDp5Zu374Nf39/AICdnR3i4+MBAP369UPdunXx7bff6v1eU6dOhUqlQrly5WBpaYnU1FTMmzcPffr0AQA8fPgQAFDsP7cVFitWTPPYf82fPx9z5swx9LKIiORz5ow0lXTjhrZWqBDw889Ax46ytUVkDgwekXFzc8Pz/194VrJkSZw4cQKANHpi6EHaW7duxcaNG7Fp0yacO3cOa9euxeLFi7F27VpD29KYNm2a5gDLuLg43LlzJ9vvRURkVGo18NVXgL+/bohp2BC4cIEhhkgPBo/ING3aFDt27EC1atUwcOBAjBs3Dr/++ivOnDlj0MZ5ADBp0iRMnToVPXv2BABUqlQJt27dwvz58zFgwAC4ubkBAB49egR3d3fN6x49eoSqVatm+p5KpRJKpdLQyyIiyl2PH0sLd3fv1tYsLIAZM4CZM6V9YojonfT+P2XXrl1o06YNVq5cCfX/7yo5atQoFC5cGMeOHUP79u0xfPhwgz48MTERFv/ZyMnS0lLz/t7e3nBzc0NoaKgmuKhUKpw8eRIjR4406LOIiExGaKi0wV36KfLixYGNG4FGjeTri8gM6R1kOnbsiGLFiiEoKAiDBg2Cr68vAKBnz56aERVDBQYGYt68eShZsiQqVKiA8+fPY8mSJRg0aBAAQKFQYOzYsfj8889RunRpze3XHh4e6MghVyIyNykpwOzZwJdfSncopQkMBEJCgMKF5euNyEwphJ4LW+7cuYOQkBCsXbsWMTExaNCgAYYMGYKuXbvCzs4uWx8eHx+PmTNn4vfff8fjx4/h4eGBXr16YdasWbCxsQEg3YI9e/ZsrFy5Ei9evECDBg3w/fffo0yZMnp9hkqlgrOzM+Li4uDk5JStPomI3ltMjHTYY/o7Lm1sgMWLgY8/5m3VRP+h789vvYNMegcOHMCaNWvw22+/wcrKCj179sTgwYNRq1at92raGBhkiEh227YBQ4cC6beoKFsW2LIFyGK9H1F+p+/P72wdUdCkSROsXbsWDx48wKJFi3Dx4kXUrVsXVapUyXbDRER5TmIiMHw40L27bogJCpJuuWaIIXpv77UsvkCBAmjWrBlu3bqFq1ev4sqVKznVFxGRebt0Sdob5vJlba1AAeCHH6QpJiLKEdkakXn16hXWrVuHxo0bo3Tp0tiyZQvGjx+PmJiYHG6PiMjMCAH8+CNQq5ZuiKlZEzh3jiGGKIcZNCJz4sQJ/Pzzz9i6dSuSk5PRuXNn7Nu3D02aNDFWf0RE5iM2VloL89tvuvUJE4AvvpAW9xJRjtI7yHzwwQeIjIxEtWrVMH/+fPTu3RvOzs7G7I2IyHwcPSqNtty+ra0VLQqsXQsYeKAuEelP7yDTvHlzbN68mQt6iYjSS00FFiwAZs2Sfp2mWTNg/Xog3a7kRJTz9A4yy5cvN2YfRETm5/59aYfeAwe0NUtLIDgYmDJFOnKAiIyKh3kQEWXHn39Kt1E/faqteXkBmzcD9erJ1hZRfsO/LhARGSIpCRg/HmjXTjfEdO0KhIUxxBDlMo7IEBHpKypK2hvm3DltzdYWWLZMuluJxwwQ5br3GpF5/fp1TvVBRGTaNmwAqlfXDTEVKkg79A4bxhBDJBODg4xarUZwcDCKFy8OR0dH3Lx5EwAwc+ZM/PTTTzneIBGRrBISpLUw/fpJv04zYgRw+rQUZohINgYHmc8//xxr1qzBwoULNSdUA0DFihWxevXqHG2OiEhW585JozBr12prBQsCv/4KrFgB2NnJ1hoRSQwOMuvWrcPKlSvRp08fWFpaaupVqlTB1atXc7Q5IiJZCCGte6lXT1oXk8bfX1rQ26WLbK0RkS6Dg8y9e/fg5+eXoa5Wq5GSkpIjTRERyebpU6B9e2DsWCA5WaopFMCnnwKHDkm3WBORyTA4yHzwwQc4fPhwhvqvv/6KatWq5UhTRESyOHgQqFIF2LVLW3N3B/btAz7/HLDijZ5Epsbg/ytnzZqFAQMG4N69e1Cr1di+fTsiIyOxbt067Er/Pz8Rkbl48waYO1cKK0Jo623aAGvWSGcmEZFJMnhEpkOHDti5cyf27dsHBwcHzJo1CxEREdi5cydatGhhjB6JiIzn9m2gSRPpWIG0EGNtDSxZIo3MMMQQmTSDRmTevHmDL774AoMGDcLevXuN1RMRUe74/Xdg8GAgNlZb8/MDtmwBatSQry8i0ptBIzJWVlZYuHAh3rx5Y6x+iIiM79UrYNQooHNn3RDTt690yzVDDJHZMHhqqVmzZjh06JAxeiEiMr6ICKBOHeD777U1Bwdpr5j164ECBeTrjYgMZvBi39atW2Pq1Km4ePEiatSoAQcHB53H27dvn2PNERHlGCGAn38GPvlEGpFJU62aNJVUpox8vRFRtimESL9E/90sLLIexFEoFEhNTX3vpnKSSqWCs7Mz4uLi4OTkJHc7RCSHuDhg+HDgl19062PHAl9+CSiVsrRFRFnT9+e3wSMyarX6vRojIspVJ08CvXoB0dHaWuHC0m3V7drJ1hYR5Yz3Ov2aiMhkqdXAggVAgwa6IaZxY+DCBYYYojwiW0Hm0KFDCAwMhJ+fH/z8/NC+fftMd/slIpLFw4dAq1bA1KnSZncAYGEh7RWzbx9QvLi8/RFRjjE4yGzYsAHNmzeHvb09Ro8ejdGjR8POzg7NmjXDpk2bjNEjEZH+9uyRjhlIv9eVp6d0TtKMGUC6w26JyPwZvNi3fPnyGDZsGMaNG6dTX7JkCVatWoWIiIgcbfB9cbEvUT6RnCwFlUWLdOudOgGrVwMuLvL0RUTZou/Pb4NHZG7evInAwMAM9fbt2yM6/Tw0EVFuuXlTWguTPsQoldJeMb/9xhBDlIcZHGQ8PT0RGhqaob5v3z54enrmSFNERHrbvBmoWhU4fVpbK18eOHUKGDkSUChka42IjM/g268nTJiA0aNHIywsDP7+/gCAo0ePYs2aNVi2bFmON0hElKmXL4HRo6VN7tIbMgRYulTarZeI8jyDg8zIkSPh5uaGr776Clu3bgUgrZv55Zdf0KFDhxxvkIgogwsXgJ49gatXtTUnJ2DlSqBHD/n6IqJcZ/BiX3PDxb5EeYgQ0rqXCROApCRtvU4daYrJ21u+3ogoRxltse/p06dx8uTJDPWTJ0/izJkzhr4dEZF+nj+XTqv++GPdEDNlCnD4MEMMUT5lcJAZNWoU7ty5k6F+7949jBo1KkeaIiLScfiwtKD3jz+0tWLFgH/+kc5KsraWqzMikpnBQebKlSuoXr16hnq1atVw5cqVHGmKiAgAkJoKzJ0rHSuQ/i9QLVtK62RatJCtNSIyDQYHGaVSiUePHmWoP3jwAFZWBq8dJiLK3N27QLNmwOzZ0rlJAGBlBSxcCOzeLY3IEFG+Z3CQadmyJaZNm4a4uDhN7cWLF5g+fTpa8G9HRJQTduyQjhk4dEhb8/EBjh4FJk2Szk0iIkI2br9evHgxPvzwQ3h5eaFatWoAgLCwMBQrVgzr16/P8QaJKB95/RqYPBn45hvdes+ewA8/AM7O8vRFRCbL4CBTvHhxhIeHY+PGjbhw4QLs7OwwcOBA9OrVC9ZccEdE2RUZKQWWsDBtzd5eCjUDB3KHXiLKVLYWtTg4OGDYsGE53QsR5UdCAGvXAqNGAYmJ2nrlysAvvwDlysnXGxGZPL0nmq9du4ZTp07p1EJDQ9GkSRPUrl0bX3zxRY43R0R5nEoF9O0rjbikDzEffwycPMkQQ0TvpHeQmTJlCnbt2qX5Pjo6GoGBgbCxsUG9evUwf/58LF261Bg9ElFedOYMUL06sGmTtubiIu0V8803gK2tbK0RkfnQO8icOXMGrVu31ny/ceNGlClTBnv27MGyZcuwdOlSrFmzxhg9ElFeolYDX30F+PsDN25o6w0bSutjeGYbERlA7yDz9OlTlChRQvP9gQMHEBgYqPm+cePGiImJydHmiCiPefwYaNsWmDgRSEmRahYWwKxZwP79gKenvP0RkdnRO8i4uLjgwYMHAAC1Wo0zZ86gbt26mseTk5ORx8+fJKL3ERoq7Q3z99/aWvHiUoCZM0fa7I6IyEB6B5nGjRsjODgYd+7cwdKlS6FWq9G4cWPN41euXEGpUqWM0CIRmbWUFGD6dOk4gYcPtfXAQOmYgUaN5OuNiMye3kFm3rx5uHr1Kry8vDBlyhQsXLgQDg4OmsfXr1+Ppk2bGvThpUqVgkKhyPCVdvhk48aNMzw2YsQIgz6DiGQUEwN8+CEwf750mzUA2NgAy5cD//sfULiwrO0RkfnTeyy3VKlSiIiIwOXLl1G0aFF4eHjoPD5nzhydNTT6OH36NFJTUzXfX7p0CS1atEC3bt00taFDh2Lu3Lma7+3t7Q36DCKSybZtwNChQLrjTFCmDLBlC/D/u4ITEb0vgyalraysUKVKlUwfy6r+NkWLFtX5/ssvv4Svry8apRtqtre3h5ubm8HvTUQySUwExo0DVq7UrQcFSbdVOzrK0hYR5U0mc/JacnIyNmzYgEGDBkGRbivyjRs3okiRIqhYsSKmTZuGxPSbZmUiKSkJKpVK54uIcsmlS0Dt2rohxtER2LABCAlhiCGiHGcytwn88ccfePHiBYKCgjS13r17w8vLCx4eHggPD8eUKVMQGRmJ7du3Z/k+8+fPx5w5c3KhYyLSEEIKL2PHSgc/pqlZE9i8GfDzk601IsrbFMJE7pkOCAiAjY0Ndu7cmeVz9u/fj2bNmuH69evw9fXN9DlJSUlISkrSfK9SqeDp6Ym4uDg4OTnleN9E+V5sLDBsGPDrr7r1CROAL76QFvcSERlIpVLB2dn5nT+/TWJE5tatW9i3b99bR1oAoE6dOgDw1iCjVCqhVCpzvEciysSxY0CvXsDt29pa0aLSIZDpdgInIjKWbAWZ2NhY/PTTT4iIiAAAlC9fHoMGDYKLi0u2mggJCYGrqyvatm371ueFhYUBANzd3bP1OUSUQ1JTgQULpB150915iObNgXXrAP4/SkS5xODFvv/++y+8vb2xfPlyxMbGIjY2Ft988w28vb3x77//GtyAWq1GSEgIBgwYAKt0O3veuHEDwcHBOHv2LGJiYrBjxw70798fH374ISpXrmzw5xBRDrl/H2jZEvj0U22IsbSU9orZs4chhohylcFrZCpVqoR69ephxYoVsLS0BACkpqbio48+wrFjx3Dx4kWDGvjnn38QEBCAyMhIlClTRlO/c+cO+vbti0uXLuHly5fw9PREp06dMGPGDIPWuug7x0ZEevjrL2DAAODpU23Ny0ta0Fuvnnx9EVGeo+/Pb4ODjJ2dHcLCwlC2bFmdemRkJKpWrYpXr15lr2MjYZAhygHJycC0acCSJbr1bt2ku5UKFpSlLSLKu/T9+W3w1FL16tU1a2PSi4iIyNameERk4q5fB/z9dUOMrS3w44/AL78wxBCRrAxe7Dt69GiMGTMG169f15x+feLECXz33Xf48ssvER4ernku17IQmbmNG4ERI4CEBG2tQgUpwFSoIF9fRET/z+CpJQuLtw/iKBQKCCGgUCh0zlGSC6eWiLIhIQH4+GPpNur0RoyQRmbs7OTpi4jyDaPtIxMdHf1ejRGRiTt/HujZE7h2TVsrWBBYtQro2lW2toiIMmNwkPHy8jJGH0QkNyGkQx0nTZIW96bx9wc2bZLuTiIiMjHZOjRy/fr1qF+/Pjw8PHDr1i0AwNKlS/G///0vR5sjolzy9CnQvj0wZow2xCgU0l4xhw4xxBCRyTI4yKxYsQLjx49HmzZt8OLFC806mIIFC2Lp0qU53R8RGdvBg0CVKsCuXdqauzuwbx/w+eeAlUmcZEJElCmDg8w333yDVatW4dNPP9VsiAcANWvWNHgzPCKS0Zs30hEDTZtKu/WmadMGuHBBqhMRmbhsLfatVq1ahrpSqcTLly9zpCkiMrLbt4E+fYAjR7Q1a2vp/KSxY6VpJSIiM2DwiIy3t7fm8Mb0/v77b5QvXz4neiIiY/r9d6BqVd0Q4+cHHD8OjBvHEENEZsXgEZnx48dj1KhReP36NYQQOHXqFDZv3oz58+dj9erVxuiRiHLC69fAxInAd9/p1vv2Bb7/HihQQJ6+iIjeg8FBZsiQIbCzs8OMGTOQmJiI3r17w8PDA8uWLUPPnj2N0SMRva+ICGlvmHQ7b8PBQQow/fvL1xcR0XsyeGff9BITE5GQkABXV9ec7ClHcWdfyteEAH7+GRg9GkhM1NarVQO2bAHSnThPRGRKjHZoJAC8efMG+/btw/r162H3/1uV379/Hwnpz2MhInnFxQG9ewNDhuiGmDFjpPUwDDFElAcYPLV069YttGrVCrdv30ZSUhJatGiBAgUKYMGCBUhKSsIPP/xgjD6JyBCnTklTSemPFClcGAgJAQID5euLiCiHGTwiM2bMGNSsWROxsbGa0RgA6NSpE0JDQ3O0OSIykFoNLFwI1K+vG2IaNZL2hmGIIaI8xuARmcOHD+PYsWOwsbHRqZcqVQr37t3LscaIyEAPHwIDBgD//KOtWVgAn30GTJ8OpNvAkogorzA4yKjVas2xBOndvXsXBXj7JpE8/vkH6NcPePxYW/P0lA57bNBAvr6IiIzM4Kmlli1b6pyppFAokJCQgNmzZ6NNmzY52RsRvUtyMjB5MhAQoBtiOnUCwsIYYogozzP49uu7d+8iICAAQghERUWhZs2aiIqKQpEiRfDvv/+a3K3YvP2a8qybN4FevaSFvWmUSuDrr4ERI7hDLxGZNX1/fmdrH5k3b95gy5YtCA8PR0JCAqpXr44+ffroLP41FQwylCf98gswbBigUmlr5ctLe8NUrixfX0REOUTfn98Gr5EBACsrK/Tt2zfbzRFRNr18Ke0D89NPuvUhQ4ClS6XdeomI8hG9gsyOHTv0fsP27dtnuxkieovwcKBHD+DqVW3NyQlYuVKqExHlQ3oFmY4dO+r1ZgqFItM7mojoPQghnYk0YQKQlKSt16kDbN4MeHvL1xsRkcz0CjJqtdrYfRBRZp4/BwYPBv74Q7c+ZQoQHAxYW8vSFhGRqcjWGhkiygWHDwN9+gB37mhrxYoB69cDLVrI1xcRkQnRex+Z48ePY9euXTq1devWwdvbG66urhg2bBiS0g97E1H2pKYCc+cCjRvrhpiAAOmYAYYYIiINvYPM3LlzcfnyZc33Fy9exODBg9G8eXNMnToVO3fuxPz5843SJFG+cfcu0KwZMHu2dG4SAFhZSecn/fWXNCJDREQaegeZsLAwNGvWTPP9li1bUKdOHaxatQrjx4/H8uXLsXXrVqM0SZQv7NwJVK0KHDqkrfn4AEePApMmSecmERGRDr3/ZIyNjUWxdH8bPHToEFq3bq35vlatWriTfhiciPSTlCTtDdO+PfDsmbbesydw7hxQu7Z8vRERmTi9g0yxYsUQHR0NAEhOTsa5c+dQt25dzePx8fGw5h0URIaJjATq1gWWL9fW7O2lDe82bQKcneXrjYjIDOgdZNq0aYOpU6fi8OHDmDZtGuzt7dGwYUPN4+Hh4fD19TVKk0R5jhDA2rVAjRrS4Y5pKlcGzpwBBg3iWUlERHrQO8gEBwfDysoKjRo1wqpVq7Bq1SrY2NhoHv/555/RsmVLozRJlKeoVEC/fkBQkHTkQJqPPwZOnpTOTCIiIr0YfGhkXFwcHB0dYWlpqVN//vw5HB0ddcKNKeChkWRSzpyR1r7cuKGtubgAP/8MdOggX19ERCZG35/fBt8G4ezsnCHEAICLi4vJhRgik6FWA199Bfj764aYhg2lqSWGGCKibOH9nETG9vgx0LYtMHEikJIi1SwspL1i9u8HPD3l7Y+IyIzxiAIiYwoNBfr2BR4+1NaKFwc2bgQaNZKvLyKiPIIjMkTGkJICTJ8uHSeQPsQEBkpTSQwxREQ5giMyRDktJgbo1Qs4cUJbs7EBFi+W7kzibdVERDmGQYYoJ23bBgwdCsTFaWtlywJbtkjHDxARUY7i1BJRTkhMBIYPB7p31w0xQUHSLdcMMURERsERGaL3demStDdMutPh4egI/PAD0KePfH0REeUDHJEhyi4hgB9/BGrV0g0xNWoA588zxBAR5QIGGaLsiI0FunUDRowAXr/W1sePB44dA/z85OuNiCgf4dQSkaGOHQN69wZu3dLWihaVDoFs3Vq+voiI8iGOyBDpKzUV+OIL4MMPdUNMs2bAhQsMMUREMuCIDJE+7t+XTqzev19bs7QEgoOByZOlXxMRUa6TdUSmVKlSUCgUGb5GjRoFAHj9+jVGjRqFwoULw9HREV26dMGjR4/kbJnyo927pdun04cYLy/g33+BadMYYoiIZCRrkDl9+jQePHig+dq7dy8AoFu3bgCAcePGYefOndi2bRsOHTqE+/fvo3PnznK2TPlJcjIwYQLQpg3w5Im23rWrdMyAv79srRERkUQhhBByN5Fm7Nix2LVrF6KioqBSqVC0aFFs2rQJXbt2BQBcvXoV5cuXx/Hjx1G3bl293lOlUsHZ2RlxcXFwcnIyZvuUl1y/Lh0zcOaMtmZrCyxbJu3cy2MGiIiMSt+f3yaz2Dc5ORkbNmzAoEGDoFAocPbsWaSkpKB58+aa55QrVw4lS5bE8ePHs3yfpKQkqFQqnS8ig2zaBFSrphtiKlSQvh82jCGGiMiEmEyQ+eOPP/DixQsEBQUBAB4+fAgbGxsULFhQ53nFihXDw/SnCf/H/Pnz4ezsrPny9PQ0YteUpyQkSEcK9Okj/TrNiBHA6dNSmCEiIpNiMkHmp59+QuvWreHh4fFe7zNt2jTExcVpvu7cuZNDHVKeFhYm7ci7dq22VrAg8OuvwIoVgJ2dXJ0REdFbmMTt17du3cK+ffuwfft2Tc3NzQ3Jycl48eKFzqjMo0eP4ObmluV7KZVKKJVKY7ZLeYkQwLffAhMnSot70/j7S1NMXl7y9UZERO9kEiMyISEhcHV1Rdu2bTW1GjVqwNraGqGhoZpaZGQkbt++jXr16snRJuU1T58CHToAo0drQ4xCAUyfDhw6xBCTj6jVAhfvxuHQtSe4eDcOarXJ3ANBRO8g+4iMWq1GSEgIBgwYACsrbTvOzs4YPHgwxo8fDxcXFzg5OeGTTz5BvXr19L5jiShLBw8CffsC9+5pa+7uwIYNQNOmsrVFue/Y9adYvj8KN5+8RHKqGjaWFvAp6oDRTUvD36+I3O0R0TvIHmT27duH27dvY9CgQRke+/rrr2FhYYEuXbogKSkJAQEB+P7772XokvKMN2+AuXOBzz+XppXStGkDrFkjnZlE+cax608x+bdwPFK9Rkqq9vdDbGIyJv8WjoVdKjPMEJk4k9pHxhi4jwxp3LkjHfZ45Ii2Zm0NfPklMHYsYGESM62US9Rqgd6rT+DsrVidEJPG2lKBGl6FsGlIXVhY8JZ7otxmdvvIEBnVH38AVarohhhfX+kk6/HjGWLyocv3Vbj55GWmIQYAUlIFbj55icv3uRcVkSnjn96Ut716BYwaBXTqBMTGaut9+gDnzgE1a8rXG8nqeWIyklPVb31OSqoazxOT3/ocIpKX7GtkiIwmIgLo2RMID9fWHByA774D+vfnDr35nIu9DWws3/53OWtLC7jY2+RSR0SUHRyRobxHCOCnn6TRlvQhpmpV4OxZYMAAhhhCBQ8n+BR1gLVl5r8XrC0V8CnqgAoeXFtHZMoYZChviYuTDnscMgRITNTWx4wBTpwAypaVrzcyKRYWCoxuWhrFnGwzhBlrSwWKOdlidNPSXOhLZOI4tUR5x6lT0lRSdLS2VriwdFt1u3aytUWmy9+vCBZ2qazZRyYlVQ1r7iNDZFYYZMj8qdXA4sXAp59K+8SkadQI2LgRKF5cvt7I5Pn7FUFdn8K4fF+F54nJcLG3QQUPJ47EEJkJBhkyb48eSQt3//lHW7OwAD77TDpqwNJSttbIfFhYKFCphLPcbRBRNjDIkPn65x+gXz/g8WNtzdNTOuyxQQP5+iIiolzDxb5kflJSgClTgIAA3RDTsSMQFsYQQ0SUj3BEhszLzZvSXUmnTmlrSiWwZAkwciRvqyYiymcYZMh8bNkCDB8OqNJtGV++vFSvXFm+voiISDacWiLT9/KltC9Mr166IWbwYOD0aYYYIqJ8jCMyZNrCw4EePYCrV7U1Jydg5UqpTkRE+RpHZMg0CQF8/z1Qu7ZuiKldGzh/niGGiIgAMMiQKXr+HOjSRTq1OilJW588GThyBPDxka83IiIyKZxaItNy5AjQuzdw54625uoKrF8PtGwpX19ERGSSOCJDpiE1FQgOlo4VSB9iWraU1skwxBARUSY4IkPyu3cP6NsXOHhQW7OyAr74ApgwQTpygIiIKBMMMiSvXbuAoCDg2TNtzdtb2humdm3Z2iIiIvPAv+qSPJKSgDFjgMBA3RDTs6d0VxJDDBER6YEjMpT7IiOlwBIWpq3Z2wPffAMMHMhjBoiISG8MMpR7hADWrgU+/ljarTdN5crSVFL58vL1RkREZolTS5Q7VCqgXz9pxCV9iBk1Cjh5kiGGiIiyhSMyZHxnzkhTSTduaGuFCgE//QR06iRfX0REZPY4IkPGo1YDS5YA/v66IaZBA2l9DEMMERG9JwYZMo7Hj4F27aR9YFJSpJpCAcyaBRw4AJQsKW9/RESUJ3BqiXJeaKi0wd3Dh9qahwewcSPQuLFsbRERUd7DERnKOSkpwKefAi1a6IaYdu2ACxcYYoiIKMdxRIZyxq1bQK9ewPHj2pqNDbBoEfDJJ9wbhoiIjIJBht7fb78BQ4YAL15oa2XKSHvDVKsmW1tERJT3cWqJsu/VK2DECKBrV90QM2AAcPYsQwwRERkdR2Qoey5fBnr0kP6ZxtER+OEHoE8f+foiIqJ8hSMyZBghgB9/BGrW1A0xNWpIhz0yxBARUS5ikCH9vXgBdO8uTSe9fq2tT5gAHDsG+PnJ1hoREeVPnFoi/Zw4IR0zcOuWtlakCLBuHdC6tXx9ERFRvsYRGXo7tRqYP186ViB9iGnWDAgPZ4ghIiJZcUSGsvbggXRidWiotmZpCQQHA5MnS78mIiKSEYMMZW73buk26idPtDUvL2DTJukQSCIiIhPAqSXSlZwsLd5t00Y3xHTtKp1YzRBDREQmhCMypHX9urSg9+xZbc3WFli2DBg6lMcMEBGRyWGQIcmGDcDIkUBCgrZWoYJ0zEDFivL1RURE9BYMMtmgVgtcvq/C88RkuNjboIKHEywszHS0IiEB+PhjYO1a3frw4cCSJYC9vTx9ERER6YFBxkDHrj/F8v1RuPnkJZJT1bCxtIBPUQeMbloa/n5F5G7PMOfPS1NJ165pa87OwOrV0poYIiIiE8fFvgY4dv0pJv8WjrO3YvE4PgkvElPwOD4JZ2/FYvJv4Th2/ancLepHCGD5cqBuXd0QU6+etKCXIYaIiMwEg4ye1GqB5fuj8Ej1GimpQuexlFSBR6rXWL4/Cmq1yOIdTMTTp0CHDsCYMdIdSoC0iHf6dODQIaBUKVnbIyIiMgSnlvR0+b4KN5+8zBBi0qSkCtx88hKX76tQqYRzLnenp4MHpUMd79/X1tzcpIW+zZrJ1hYREVF2yT4ic+/ePfTt2xeFCxeGnZ0dKlWqhDNnzmgeDwoKgkKh0Plq1apVrvf5PDEZyanqtz4nJVWN54nJudSRAd68AWbNApo21Q0xrVsDFy4wxBARkdmSdUQmNjYW9evXR5MmTbB7924ULVoUUVFRKFSokM7zWrVqhZCQEM33SqUyt1uFi70NbCzfnvusLS3gYm+TSx3p6c4doHdv4MgRbc3aGvjyS2DsWMBC9ixLRESUbbIGmQULFsDT01MnpHh7e2d4nlKphJubW262lkEFDyf4FHVAbGJyptNL1pYK+BR1QAUPJxm6y8LvvwODBwOxsdqar6+0N0zNmvL1RURElENk/ev4jh07ULNmTXTr1g2urq6oVq0aVq1aleF5Bw8ehKurK8qWLYuRI0fi2bNnWb5nUlISVCqVzldOsLBQYHTT0ijmZAtrS909Y6wtFSjmZIvRTUubxn4yr18Do0YBnTvrhpg+fYBz5xhiiIgoz1AIIWS7zcbW1hYAMH78eHTr1g2nT5/GmDFj8MMPP2DAgAEAgC1btsDe3h7e3t64ceMGpk+fDkdHRxw/fhyWmZy+/Nlnn2HOnDkZ6nFxcXByev/RkvT7yKSkqmFtavvIRERIe8OEh2trDg7Ad98B/fvzmAEiIjILKpUKzs7O7/z5LWuQsbGxQc2aNXHs2DFNbfTo0Th9+jSOHz+e6Wtu3rwJX19f7Nu3D80yWaSalJSEpKQkzfcqlQqenp45FmQAE93ZVwggJAT45BMgMVFbr1pVmkoqW1a21oiIiAylb5CRdWrJ3d0dH3zwgU6tfPnyuH37dpav8fHxQZEiRXD9+vVMH1cqlXByctL5ymkWFgpUKuGMRmWKolIJZ/lDTFwc0KuXtB4mfYgZPRo4cYIhhoiI8ixZF/vWr18fkZGROrVr167By8sry9fcvXsXz549g7u7u7HbMw+nTklTSdHR2lrhwtLoTGCgfH0RERHlAllHZMaNG4cTJ07giy++wPXr17Fp0yasXLkSo0aNAgAkJCRg0qRJOHHiBGJiYhAaGooOHTrAz88PAQEBcrYuP7UaWLQIqF9fN8Q0aiTtDcMQQ0RE+YCsQaZWrVr4/fffsXnzZlSsWBHBwcFYunQp+vTpAwCwtLREeHg42rdvjzJlymDw4MGoUaMGDh8+LMteMibj0SNpM7vJk6XN7gBpP5i5c4HQUKB4cXn7IyIiyiWyLvbNDfouFjIbe/cC/fpJYSaNpyewaRPQoIF8fREREeUgs1jsSwZISQGmTgVattQNMR07SidWM8QQEVE+xEMjzUF0tHRX0smT2ppSCSxZAowcyb1hiIgo32KQMXW//AIMGwak36G4XDmpXrmyfH0RERGZAE4tmaqXL4EhQ6Rbq9OHmEGDgDNnGGKIiIjAERnTFB4O9OgBXL2qrRUoAKxcKQUbIiIiAsARGdMiBPD990Dt2rohpnZtaUEvQwwREZEOBhlT8fw50KWLdGp1urOiMHkycPgw4OMjX29EREQmilNLpuDIEaB3b+DOHW3N1RVYtw7I7zsYExERvQVHZOSUmgoEB0vHCqQPMS1aSMcMMMQQERG9FUdk5HLvHtC3L3DwoLZmZQXMmwdMnCgdOUBERERvxSAjh507gYEDgWfPtLVSpYAtW4A6dWRri4iIyNzwr/25KSkJGDMGaN9eN8T06CHdlcQQQ0REZBCOyOSWyEjp9umwMG3Nzg745htpkzseM0BERGQwBhljE0K6+2jUKGm33jSVKknHDJQvL19vREREZo5TS8YUHw/06wcEBemGmFGjgFOnGGKIiIjeE0dkjOXMGWkq6cYNba1QIeCnn4BOneTri4iIKA/hiExOU6uBJUsAf3/dENOggbQ+hiGGiIgoxzDI5KTHj4F27YAJE4CUFKmmUACzZgEHDgAlS8rbHxERUR7DqaWcEhoqbXD38KG25uEBbNwING4sW1tERER5GUdk3ldKCvDpp9KxAulDTLt20jEDDDFERERGwxGZ9xETIx32ePy4tmZjAyxcCIwezb1hiIiIjIxBJrt+/RUYMgSIi9PWSpeW9oapVk2+voiIiPIRTi1lx9dfA9266YaYAQOAc+cYYoiIiHIRg0x2dOwIODlJv3Z0BNavB9askX5NREREuYZBJju8vYFVq4CaNYHz56W7lYiIiCjXcY1MdnXvDnTpAlhayt0JERFRvsURmffBEENERCQrBhkiIiIyWwwyREREZLYYZIiIiMhsMcgQERGR2WKQISIiIrPFIENERERmi0GGiIiIzBaDDBEREZktBhkiIiIyWwwyREREZLYYZIiIiMhsMcgQERGR2crzp18LIQAAKpVK5k6IiIhIX2k/t9N+jmclzweZ+Ph4AICnp6fMnRAREZGh4uPj4ezsnOXjCvGuqGPm1Go17t+/jwIFCkChUMjdTpZUKhU8PT1x584dODk5yd1OjsvL18drM095+dqAvH19vDbzZOi1CSEQHx8PDw8PWFhkvRImz4/IWFhYoESJEnK3oTcnJ6c895s3vbx8fbw285SXrw3I29fHazNPhlzb20Zi0nCxLxEREZktBhkiIiIyWwwyJkKpVGL27NlQKpVyt2IUefn6eG3mKS9fG5C3r4/XZp6MdW15frEvERER5V0ckSEiIiKzxSBDREREZotBhoiIiMwWgwwRERGZLQaZXHLv3j307dsXhQsXhp2dHSpVqoQzZ8689TVJSUn49NNP4eXlBaVSiVKlSuHnn3/OpY4Nk53r27hxI6pUqQJ7e3u4u7tj0KBBePbsWS51rJ9SpUpBoVBk+Bo1alSWr9m2bRvKlSsHW1tbVKpUCX/99Vcudqw/Q69t1apVaNiwIQoVKoRChQqhefPmOHXqVC53rb/s/LdLs2XLFigUCnTs2NH4jWZDdq7txYsXGDVqFNzd3aFUKlGmTBmT/L2ZnWtbunQpypYtCzs7O3h6emLcuHF4/fp1Lnatn9TUVMycORPe3t6ws7ODr68vgoOD33mW0MGDB1G9enUolUr4+flhzZo1udOwAbJzbdu3b0eLFi1QtGhRODk5oV69etizZ4/hHy7I6J4/fy68vLxEUFCQOHnypLh586bYs2ePuH79+ltf1759e1GnTh2xd+9eER0dLY4dOyaOHDmSS13rLzvXd+TIEWFhYSGWLVsmbt68KQ4fPiwqVKggOnXqlIudv9vjx4/FgwcPNF979+4VAMSBAwcyff7Ro0eFpaWlWLhwobhy5YqYMWOGsLa2FhcvXszdxvVg6LX17t1bfPfdd+L8+fMiIiJCBAUFCWdnZ3H37t3cbVxPhl5fmujoaFG8eHHRsGFD0aFDh1zp1VCGXltSUpKoWbOmaNOmjThy5IiIjo4WBw8eFGFhYbnbuB4MvbaNGzcKpVIpNm7cKKKjo8WePXuEu7u7GDduXO42rod58+aJwoULi127dono6Gixbds24ejoKJYtW5bla27evCns7e3F+PHjxZUrV8Q333wjLC0txd9//52Lnb9bdq5tzJgxYsGCBeLUqVPi2rVrYtq0acLa2lqcO3fOoM9mkMkFU6ZMEQ0aNDDoNbt37xbOzs7i2bNnRuoq52Tn+hYtWiR8fHx0asuXLxfFixfPydZy3JgxY4Svr69Qq9WZPt69e3fRtm1bnVqdOnXE8OHDc6O99/Kua/uvN2/eiAIFCoi1a9caubOcoc/1vXnzRvj7+4vVq1eLAQMGmGyQ+a93XduKFSuEj4+PSE5OzuXO3t+7rm3UqFGiadOmOrXx48eL+vXr50Z7Bmnbtq0YNGiQTq1z586iT58+Wb5m8uTJokKFCjq1Hj16iICAAKP0mF3ZubbMfPDBB2LOnDkGvYZTS7lgx44dqFmzJrp16wZXV1dUq1YNq1at0us1CxcuRPHixVGmTBlMnDgRr169yqWu9Zed66tXrx7u3LmDv/76C0IIPHr0CL/++ivatGmTS10bLjk5GRs2bMCgQYOyPID0+PHjaN68uU4tICAAx48fz40Ws02fa/uvxMREpKSkwMXFxcjdvT99r2/u3LlwdXXF4MGDc7G796PPte3YsQP16tXDqFGjUKxYMVSsWBFffPEFUlNTc7lbw+hzbf7+/jh79qxmmvPmzZv466+/TPLPEn9/f4SGhuLatWsAgAsXLuDIkSNo3bp1lq8xlz9TsnNt/6VWqxEfH2/4nykGxR7KFqVSKZRKpZg2bZo4d+6c+PHHH4Wtra1Ys2ZNlq8JCAgQSqVStG3bVpw8eVL8+eefmukbU5Od6xNCiK1btwpHR0dhZWUlAIjAwECT/hvjL7/8IiwtLcW9e/eyfI61tbXYtGmTTu27774Trq6uxm7vvehzbf81cuRI4ePjI169emXEznKGPtd3+PBhUbx4cfHkyRMhhDCbERl9rq1s2bJCqVSKQYMGiTNnzogtW7YIFxcX8dlnn+Vip4bT9/flsmXLhLW1tebPkhEjRuRSh4ZJTU0VU6ZMEQqFQlhZWQmFQiG++OKLt76mdOnSGZ7z559/CgAiMTHRmO0aJDvX9l8LFiwQhQoVEo8ePTLodQwyucDa2lrUq1dPp/bJJ5+IunXrZvmaFi1aCFtbW/HixQtN7bfffhMKhcKkfvMKkb3ru3z5snB3dxcLFy4UFy5cEH///beoVKlShqFJU9KyZUvRrl27tz7HXIOMPteW3vz580WhQoXEhQsXjNhVznnX9alUKlGqVCnx119/aWrmEmT0+W9XunRp4enpKd68eaOpffXVV8LNzc3Y7b0Xfa7twIEDolixYmLVqlUiPDxcbN++XXh6eoq5c+fmUpf627x5syhRooTYvHmzCA8PF+vWrRMuLi5v/UufuQSZ7Fxbehs3bhT29vZi7969Bn82g0wuKFmypBg8eLBO7fvvvxceHh5ZvqZ///7C19dXp3blyhUBQFy7ds0ofWZXdq6vb9++omvXrjq1w4cPCwDi/v37RunzfcTExAgLCwvxxx9/vPV5np6e4uuvv9apzZo1S1SuXNmI3b0ffa8tzaJFi4Szs7M4ffq0kTvLGfpc3/nz5wUAYWlpqflSKBRCoVAIS0vLdy7Ml4u+/+0+/PBD0axZM53aX3/9JQCIpKQkY7aYbfpeW4MGDcTEiRN1auvXrxd2dnYiNTXVmC0arESJEuLbb7/VqQUHB4uyZctm+ZqGDRuKMWPG6NR+/vln4eTkZIwWsy0715Zm8+bNws7OTuzatStbn801Mrmgfv36iIyM1Kldu3YNXl5eb33N/fv3kZCQoPMaCwsLlChRwmi9Zkd2ri8xMREWFrq//SwtLQHgnbciyiEkJASurq5o27btW59Xr149hIaG6tT27t2LevXqGbO996LvtQHAwoULERwcjL///hs1a9bMhe7enz7XV65cOVy8eBFhYWGar/bt26NJkyYICwuDp6dnLnasP33/29WvXx/Xr1+HWq3W1K5duwZ3d3fY2NgYu81s0ffazOnPkqx6Tf/f5b/M5c+U7FwbAGzevBkDBw7E5s2b9fozKFPZij9kkFOnTgkrKysxb948ERUVpRlC27Bhg+Y5U6dOFf369dN8Hx8fL0qUKCG6du0qLl++LA4dOiRKly4thgwZIsclvFV2ri8kJERYWVmJ77//Xty4cUMcOXJE1KxZU9SuXVuOS3ir1NRUUbJkSTFlypQMj/Xr109MnTpV8/3Ro0eFlZWVWLx4sYiIiBCzZ8822duvhTDs2r788kthY2Mjfv31V53bY+Pj43OzZYMYcn3/ZepTS4Zc2+3bt0WBAgXExx9/LCIjI8WuXbuEq6ur+Pzzz3OzZb0Zcm2zZ88WBQoUEJs3bxY3b94U//zzj/D19RXdu3fPzZb1MmDAAFG8eHHNLcrbt28XRYoUEZMnT9Y8579/Vqbdfj1p0iQREREhvvvuO5O8/To717Zx40ZhZWUlvvvuO50/U9IvqdAHg0wu2blzp6hYsaJQKpWiXLlyYuXKlTqPDxgwQDRq1EinFhERIZo3by7s7OxEiRIlxPjx401qTjS97Fzf8uXLxQcffCDs7OyEu7u76NOnj0nuSbJnzx4BQERGRmZ4rFGjRmLAgAE6ta1bt4oyZcoIGxsbUaFCBfHnn3/mUqeGM+TavLy8BIAMX7Nnz869hg1k6H+79Ew9yBh6bceOHRN16tQRSqVS+Pj4iHnz5umsmTElhlxbSkqK+Oyzz4Svr6+wtbUVnp6e4qOPPhKxsbG517CeVCqVGDNmjChZsqSwtbUVPj4+4tNPP9WZ3svsz8oDBw6IqlWrChsbG+Hj4yNCQkJyt3E9ZOfaGjVqlOmfKW/7/zIzCiFMbOyNiIiISE9cI0NERERmi0GGiIiIzBaDDBEREZktBhkiIiIyWwwyREREZLYYZIiIiMhsMcgQERGR2WKQISIiIrPFIENEZmnNmjUoWLBgrnxWZGQk3NzcEB8fr/dnT506FZ988kkudEeUvzHIEFGWgoKCoFAooFAoYG1tjWLFiqFFixb4+eef33kYXE4qVaoUli5dqlPr0aMHrl27liufP23aNHzyyScoUKCA3q+ZOHEi1q5di5s3bxqxMyJikCGit2rVqhUePHiAmJgY7N69G02aNMGYMWPQrl07vHnzJtvvK4R4r9fb2dnB1dU126/X1+3bt7Fr1y4EBQUZ9LoiRYogICAAK1asME5jRASAQYaI3kGpVMLNzQ3FixdH9erVMX36dPzvf//D7t27sWbNGgBATEwMFAoFwsLCNK978eIFFAoFDh48CAA4ePAgFAoFdu/ejRo1akCpVOLIkSO4ceMGOnTogGLFisHR0RG1atXCvn37NO/TuHFj3Lp1C+PGjdOMDgGZT++sWLECvr6+sLGxQdmyZbF+/XqdxxUKBVavXo1OnTrB3t4epUuXxo4dO956/Vu3bkWVKlVQvHjxDI/t2bMH5cuXh6OjoybwpRcYGIgtW7a89f2J6P0wyBCRwZo2bYoqVapg+/btBr926tSp+PLLLxEREYHKlSsjISEBbdq0QWhoKM6fP49WrVohMDAQt2/fBgBs374dJUqUwNy5c/HgwYMMYSHN77//jjFjxmDChAm4dOkShg8fjoEDB+LAgQM6z5szZw66d++O8PBwtGnTBn369MHz58+z7Pfw4cOoWbNmhnpiYiIWL16M9evX499//8Xt27cxceJEnefUrl0bd+/eRUxMjIH/lohIXwwyRJQt5cqVy9YP6Llz56JFixbw9fWFi4sLqlSpguHDh6NixYooXbo0goOD4evrqxkpcXFxgaWlJQoUKAA3Nze4ubll+r6LFy9GUFAQPvroI5QpUwbjx49H586dsXjxYp3nBQUFoVevXvDz88MXX3yBhIQEnDp1Kst+b926BQ8Pjwz1lJQU/PDDD6hZsyaqV6+Ojz/+GKGhoTrPSXvdrVu3DPp3RET6Y5AhomwRQmimeQzx39GNhIQETJw4EeXLl0fBggXh6OiIiIgIzYiMviIiIlC/fn2dWv369REREaFTq1y5subXDg4OcHJywuPHj7N831evXsHW1jZD3d7eHr6+vprv3d3dM7yPnZ0dAGn0hoiMw0ruBojIPEVERMDb2xsAYGEh/Z1ICKF5PCUlJdPXOTg46Hw/ceJE7N27F4sXL4afnx/s7OzQtWtXJCcnG6Vva2trne8VCsVb78AqUqQIYmNj9Xqf9NcPQDNlVbRo0ey2S0TvwBEZIjLY/v37cfHiRXTp0gWA9gd1+vUr6Rf+vs3Ro0cRFBSETp06oVKlSnBzc8swZWVjY4PU1NS3vk/58uVx9OjRDO/9wQcf6NVHVqpVq4YrV65k67WXLl2CtbU1KlSo8F49EFHWOCJDRG+VlJSEhw8fIjU1FY8ePcLff/+N+fPno127dujfvz8AaQqlbt26+PLLL+Ht7Y3Hjx9jxowZer1/6dKlsX37dgQGBkKhUGDmzJkZRkhKlSqFf//9Fz179oRSqUSRIkUyvM+kSZPQvXt3VKtWDc2bN8fOnTuxfft2nTugsiMgIABDhgxBamoqLC0tDXrt4cOH0bBhQ80UExHlPI7IENFb/f3333B3d0epUqXQqlUrHDhwAMuXL8f//vc/nR/sP//8M968eYMaNWpg7Nix+Pzzz/V6/yVLlqBQoULw9/dHYGAgAgICUL16dZ3nzJ07FzExMfD19c1ymqZjx45YtmwZFi9ejAoVKuDHH39ESEgIGjdunO1rB4DWrVvDysoqW4Foy5YtGDp06Ht9PhG9nUL8d1KXiIh0fPfdd9ixYwf27Nmj92t2796NCRMmIDw8HFZWHPwmMhb+30VE9A7Dhw/HixcvEB8fr/cxBS9fvkRISAhDDJGRcUSGiIiIzBbXyBAREZHZYpAhIiIis8UgQ0RERGaLQYaIiIjMFoMMERERmS0GGSIiIjJbDDJERERkthhkiIiIyGwxyBAREZHZ+j8cURGUjCIS2AAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_x['Duration (h)']\n",
"column2 = df_x['Sleep Score Value']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "e5a6f5d3-0cc9-4a52-837d-83aa2f80efdd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: 0.540694535804339\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_x['Duration (h)']\n",
"column2 = df_x['Sleep Efficiency']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "49d0fe7a-34cd-4a45-bdfa-51bd9edb87cb",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: -0.9192807426062646\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_x['Deep Sleep Duration (h)']\n",
"column2 = df_x['Sleep Efficiency']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "d25b26af-c955-4219-85f6-9b39731d82fa",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 1. , 0.9589633 , 0.9852941 , 0.98101264, 0.9981618 ,\n",
" 0.996063 , 0.99633026, 0.8909091 , 0.84927535, 0.9415808 ,\n",
" 0.9148936 , 0.6972477 , 0.90909094, -0.9027484 , 0.99625 ,\n",
" 0.9474576 , 0.8828125 , 0.9550562 , 0.9116379 , 0.84368736,\n",
" 0.9326241 , 0.61085975, 0.9596977 , 0.7777778 , 0.9746835 ,\n",
" 0.9955157 , 0.99482757, 0.9770115 , 0.9932773 , 0.9932867 ,\n",
" 0.94572026, 0.9866412 , 0.9695122 , 0.9681093 , 0.98717946,\n",
" 0.99562365, 0.9977925 ])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_users['Sleep Efficiency'].unique()"
]
},
{
"cell_type": "markdown",
"id": "c30b3f92-8652-4576-b1fe-4cd311f3cfab",
"metadata": {},
"source": [
"## Trim down to single participant for further research"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "f9155518-1eda-4564-9fc2-23b792820a5a",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>User First Name</th>\n",
" <th>Calendar Date (Local)</th>\n",
" <th>Start Time (Local)</th>\n",
" <th>End Time (Local)</th>\n",
" <th>Duration (s)</th>\n",
" <th>Rem Sleep Duration (s)</th>\n",
" <th>Deep Sleep Duration (s)</th>\n",
" <th>Light Sleep Duration (s)</th>\n",
" <th>Source</th>\n",
" <th>Sleep Efficiency</th>\n",
" <th>Sleep Score Value</th>\n",
" <th>Duration (h)</th>\n",
" <th>Deep Sleep Duration (h)</th>\n",
" <th>Light Sleep Duration (h)</th>\n",
" <th>Rem Sleep Duration (h)</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>7.766667</td>\n",
" <td>0.833333</td>\n",
" <td>4.60</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>7.766667</td>\n",
" <td>0.833333</td>\n",
" <td>4.60</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>7.766667</td>\n",
" <td>0.833333</td>\n",
" <td>4.60</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>7.766667</td>\n",
" <td>0.833333</td>\n",
" <td>4.60</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>7.766667</td>\n",
" <td>0.833333</td>\n",
" <td>4.60</td>\n",
" <td>2.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3791</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>7.550000</td>\n",
" <td>1.833333</td>\n",
" <td>4.55</td>\n",
" <td>1.150000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3792</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>7.550000</td>\n",
" <td>1.833333</td>\n",
" <td>4.55</td>\n",
" <td>1.150000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3793</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>7.550000</td>\n",
" <td>1.833333</td>\n",
" <td>4.55</td>\n",
" <td>1.150000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3794</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>7.550000</td>\n",
" <td>1.833333</td>\n",
" <td>4.55</td>\n",
" <td>1.150000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3795</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>7.550000</td>\n",
" <td>1.833333</td>\n",
" <td>4.55</td>\n",
" <td>1.150000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>3796 rows × 15 columns</p>\n",
"</div>"
],
"text/plain": [
" User First Name Calendar Date (Local) Start Time (Local) \\\n",
"0 P10 2023-12-22 2023-12-22T01:17:00 \n",
"1 P10 2023-12-22 2023-12-22T01:17:00 \n",
"2 P10 2023-12-22 2023-12-22T01:17:00 \n",
"3 P10 2023-12-22 2023-12-22T01:17:00 \n",
"4 P10 2023-12-22 2023-12-22T01:17:00 \n",
"... ... ... ... \n",
"3791 P14 2024-01-08 2024-01-08T00:01:00 \n",
"3792 P14 2024-01-08 2024-01-08T00:01:00 \n",
"3793 P14 2024-01-08 2024-01-08T00:01:00 \n",
"3794 P14 2024-01-08 2024-01-08T00:01:00 \n",
"3795 P14 2024-01-08 2024-01-08T00:01:00 \n",
"\n",
" End Time (Local) Duration (s) Rem Sleep Duration (s) \\\n",
"0 2023-12-22T09:03:00 27960 8400 \n",
"1 2023-12-22T09:03:00 27960 8400 \n",
"2 2023-12-22T09:03:00 27960 8400 \n",
"3 2023-12-22T09:03:00 27960 8400 \n",
"4 2023-12-22T09:03:00 27960 8400 \n",
"... ... ... ... \n",
"3791 2024-01-08T07:34:00 27180 4140 \n",
"3792 2024-01-08T07:34:00 27180 4140 \n",
"3793 2024-01-08T07:34:00 27180 4140 \n",
"3794 2024-01-08T07:34:00 27180 4140 \n",
"3795 2024-01-08T07:34:00 27180 4140 \n",
"\n",
" Deep Sleep Duration (s) Light Sleep Duration (s) Source \\\n",
"0 3000 16560 device \n",
"1 3000 16560 device \n",
"2 3000 16560 device \n",
"3 3000 16560 device \n",
"4 3000 16560 device \n",
"... ... ... ... \n",
"3791 6600 16380 device \n",
"3792 6600 16380 device \n",
"3793 6600 16380 device \n",
"3794 6600 16380 device \n",
"3795 6600 16380 device \n",
"\n",
" Sleep Efficiency Sleep Score Value Duration (h) \\\n",
"0 1.000000 94.0 7.766667 \n",
"1 1.000000 94.0 7.766667 \n",
"2 1.000000 94.0 7.766667 \n",
"3 1.000000 94.0 7.766667 \n",
"4 1.000000 94.0 7.766667 \n",
"... ... ... ... \n",
"3791 0.997792 92.0 7.550000 \n",
"3792 0.997792 92.0 7.550000 \n",
"3793 0.997792 92.0 7.550000 \n",
"3794 0.997792 92.0 7.550000 \n",
"3795 0.997792 92.0 7.550000 \n",
"\n",
" Deep Sleep Duration (h) Light Sleep Duration (h) \\\n",
"0 0.833333 4.60 \n",
"1 0.833333 4.60 \n",
"2 0.833333 4.60 \n",
"3 0.833333 4.60 \n",
"4 0.833333 4.60 \n",
"... ... ... \n",
"3791 1.833333 4.55 \n",
"3792 1.833333 4.55 \n",
"3793 1.833333 4.55 \n",
"3794 1.833333 4.55 \n",
"3795 1.833333 4.55 \n",
"\n",
" Rem Sleep Duration (h) \n",
"0 2.333333 \n",
"1 2.333333 \n",
"2 2.333333 \n",
"3 2.333333 \n",
"4 2.333333 \n",
"... ... \n",
"3791 1.150000 \n",
"3792 1.150000 \n",
"3793 1.150000 \n",
"3794 1.150000 \n",
"3795 1.150000 \n",
"\n",
"[3796 rows x 15 columns]"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Select user = P12 and day = 2023-12-24\n",
"#s_df = s_df[s_df['User First Name'] == 'P12']\n",
"#d_df = d_df[d_df['Calendar Date (Local)'] == '2023-12-24']\n",
"\n",
"s_df"
]
},
{
"cell_type": "markdown",
"id": "99febe4f-4618-44de-a56d-19c619bc2732",
"metadata": {},
"source": [
"# Dailies Dataset"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "02fcbeac-0427-4387-a061-dc35b7a36511",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"User Id object\n",
"User First Name object\n",
"User Last Name float64\n",
"User Email object\n",
"Team Names float64\n",
"Group Names object\n",
"Calendar Date (Local) datetime64[ns]\n",
"Start Time (Local) datetime64[ns]\n",
"End Time (Local) datetime64[ns]\n",
"Time Zone (Local) int64\n",
"Calendar Date (UTC) object\n",
"Start Time (UTC) object\n",
"End Time (UTC) object\n",
"Start Time (s) int64\n",
"Time Zone (s) int64\n",
"Duration (s) int64\n",
"Active Calories float64\n",
"Total Calories float64\n",
"MVPA (min) int64\n",
"Summary Id object\n",
"Activity Type object\n",
"Steps int64\n",
"Distance (m) float64\n",
"Moderate Intensity Duration (s) int64\n",
"Vigorous Intensity Duration (s) int64\n",
"Floors Climbed int64\n",
"Heart Rate (min bpm) float64\n",
"Heart Rate (avg bpm) int64\n",
"Heart Rate (max bpm) float64\n",
"Stress Level (avg) float64\n",
"Stress Level (max) float64\n",
"Stress Duration (s) float64\n",
"Rest Stress Duration (s) float64\n",
"Activity Stress Duration (s) float64\n",
"Low Stress Duration (s) float64\n",
"Medium Stress Duration (s) float64\n",
"High Stress Duration (s) float64\n",
"Stress Qualifier object\n",
"Garmin Connect Steps Goal float64\n",
"Garmin Connect Net Kilocalories Goal float64\n",
"Garmin Connect Intensity Duration Goal (s) float64\n",
"Garmin Connect Floors Climbed Gloal float64\n",
"dtype: object\n"
]
},
{
"data": {
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" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>User Id</th>\n",
" <th>User First Name</th>\n",
" <th>User Last Name</th>\n",
" <th>User Email</th>\n",
" <th>Team Names</th>\n",
" <th>Group Names</th>\n",
" <th>Calendar Date (Local)</th>\n",
" <th>Start Time (Local)</th>\n",
" <th>End Time (Local)</th>\n",
" <th>Time Zone (Local)</th>\n",
" <th>...</th>\n",
" <th>Rest Stress Duration (s)</th>\n",
" <th>Activity Stress Duration (s)</th>\n",
" <th>Low Stress Duration (s)</th>\n",
" <th>Medium Stress Duration (s)</th>\n",
" <th>High Stress Duration (s)</th>\n",
" <th>Stress Qualifier</th>\n",
" <th>Garmin Connect Steps Goal</th>\n",
" <th>Garmin Connect Net Kilocalories Goal</th>\n",
" <th>Garmin Connect Intensity Duration Goal (s)</th>\n",
" <th>Garmin Connect Floors Climbed Gloal</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>656ed54df07d3f126590b8f0</td>\n",
" <td>P10</td>\n",
" <td>NaN</td>\n",
" <td>1d7153fa@nomail.local</td>\n",
" <td>NaN</td>\n",
" <td>TUM Projektwoche</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22 01:00:00</td>\n",
" <td>2023-12-23 00:00:00</td>\n",
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" <td>...</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <tr>\n",
" <th>1</th>\n",
" <td>656ed54df07d3f126590b8f0</td>\n",
" <td>P10</td>\n",
" <td>NaN</td>\n",
" <td>1d7153fa@nomail.local</td>\n",
" <td>NaN</td>\n",
" <td>TUM Projektwoche</td>\n",
" <td>2023-12-23</td>\n",
" <td>2023-12-23 01:00:00</td>\n",
" <td>2023-12-24 00:00:00</td>\n",
" <td>100</td>\n",
" <td>...</td>\n",
" <td>4620.0</td>\n",
" <td>NaN</td>\n",
" <td>26640.0</td>\n",
" <td>22440.0</td>\n",
" <td>23100.0</td>\n",
" <td>stressful</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>656ed54df07d3f126590b8f0</td>\n",
" <td>P10</td>\n",
" <td>NaN</td>\n",
" <td>1d7153fa@nomail.local</td>\n",
" <td>NaN</td>\n",
" <td>TUM Projektwoche</td>\n",
" <td>2023-12-24</td>\n",
" <td>2023-12-24 01:00:00</td>\n",
" <td>2023-12-25 00:00:00</td>\n",
" <td>100</td>\n",
" <td>...</td>\n",
" <td>0.0</td>\n",
" <td>NaN</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>calm</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>656ed54df07d3f126590b8f0</td>\n",
" <td>P10</td>\n",
" <td>NaN</td>\n",
" <td>1d7153fa@nomail.local</td>\n",
" <td>NaN</td>\n",
" <td>TUM Projektwoche</td>\n",
" <td>2023-12-25</td>\n",
" <td>2023-12-25 01:00:00</td>\n",
" <td>2023-12-26 00:00:00</td>\n",
" <td>100</td>\n",
" <td>...</td>\n",
" <td>2760.0</td>\n",
" <td>NaN</td>\n",
" <td>39780.0</td>\n",
" <td>15180.0</td>\n",
" <td>8940.0</td>\n",
" <td>balanced</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>656ed54df07d3f126590b8f0</td>\n",
" <td>P10</td>\n",
" <td>NaN</td>\n",
" <td>1d7153fa@nomail.local</td>\n",
" <td>NaN</td>\n",
" <td>TUM Projektwoche</td>\n",
" <td>2023-12-26</td>\n",
" <td>2023-12-26 01:00:00</td>\n",
" <td>2023-12-27 00:00:00</td>\n",
" <td>100</td>\n",
" <td>...</td>\n",
" <td>12480.0</td>\n",
" <td>NaN</td>\n",
" <td>22500.0</td>\n",
" <td>13200.0</td>\n",
" <td>4560.0</td>\n",
" <td>balanced</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
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" <td>...</td>\n",
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" </tr>\n",
" <tr>\n",
" <th>65</th>\n",
" <td>656ed566f07d3f126590c7ad</td>\n",
" <td>P14</td>\n",
" <td>NaN</td>\n",
" <td>6a9f6a6@nomail.local</td>\n",
" <td>NaN</td>\n",
" <td>TUM Projektwoche</td>\n",
" <td>2024-01-04</td>\n",
" <td>2024-01-04 01:00:00</td>\n",
" <td>2024-01-05 00:00:00</td>\n",
" <td>100</td>\n",
" <td>...</td>\n",
" <td>4620.0</td>\n",
" <td>NaN</td>\n",
" <td>2700.0</td>\n",
" <td>9360.0</td>\n",
" <td>11760.0</td>\n",
" <td>stressful</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>66</th>\n",
" <td>656ed566f07d3f126590c7ad</td>\n",
" <td>P14</td>\n",
" <td>NaN</td>\n",
" <td>6a9f6a6@nomail.local</td>\n",
" <td>NaN</td>\n",
" <td>TUM Projektwoche</td>\n",
" <td>2024-01-05</td>\n",
" <td>2024-01-05 00:00:00</td>\n",
" <td>2024-01-06 00:00:00</td>\n",
" <td>100</td>\n",
" <td>...</td>\n",
" <td>21360.0</td>\n",
" <td>NaN</td>\n",
" <td>9240.0</td>\n",
" <td>11340.0</td>\n",
" <td>8400.0</td>\n",
" <td>balanced</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>67</th>\n",
" <td>656ed566f07d3f126590c7ad</td>\n",
" <td>P14</td>\n",
" <td>NaN</td>\n",
" <td>6a9f6a6@nomail.local</td>\n",
" <td>NaN</td>\n",
" <td>TUM Projektwoche</td>\n",
" <td>2024-01-06</td>\n",
" <td>2024-01-06 00:00:00</td>\n",
" <td>2024-01-07 00:00:00</td>\n",
" <td>100</td>\n",
" <td>...</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>68</th>\n",
" <td>656ed566f07d3f126590c7ad</td>\n",
" <td>P14</td>\n",
" <td>NaN</td>\n",
" <td>6a9f6a6@nomail.local</td>\n",
" <td>NaN</td>\n",
" <td>TUM Projektwoche</td>\n",
" <td>2024-01-07</td>\n",
" <td>2024-01-07 01:00:00</td>\n",
" <td>2024-01-08 00:00:00</td>\n",
" <td>100</td>\n",
" <td>...</td>\n",
" <td>480.0</td>\n",
" <td>NaN</td>\n",
" <td>0.0</td>\n",
" <td>420.0</td>\n",
" <td>2940.0</td>\n",
" <td>stressful</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>69</th>\n",
" <td>656ed566f07d3f126590c7ad</td>\n",
" <td>P14</td>\n",
" <td>NaN</td>\n",
" <td>6a9f6a6@nomail.local</td>\n",
" <td>NaN</td>\n",
" <td>TUM Projektwoche</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08 00:00:00</td>\n",
" <td>2024-01-08 08:29:00</td>\n",
" <td>100</td>\n",
" <td>...</td>\n",
" <td>26580.0</td>\n",
" <td>NaN</td>\n",
" <td>360.0</td>\n",
" <td>1020.0</td>\n",
" <td>360.0</td>\n",
" <td>calm</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>70 rows × 42 columns</p>\n",
"</div>"
],
"text/plain": [
" User Id User First Name User Last Name \\\n",
"0 656ed54df07d3f126590b8f0 P10 NaN \n",
"1 656ed54df07d3f126590b8f0 P10 NaN \n",
"2 656ed54df07d3f126590b8f0 P10 NaN \n",
"3 656ed54df07d3f126590b8f0 P10 NaN \n",
"4 656ed54df07d3f126590b8f0 P10 NaN \n",
".. ... ... ... \n",
"65 656ed566f07d3f126590c7ad P14 NaN \n",
"66 656ed566f07d3f126590c7ad P14 NaN \n",
"67 656ed566f07d3f126590c7ad P14 NaN \n",
"68 656ed566f07d3f126590c7ad P14 NaN \n",
"69 656ed566f07d3f126590c7ad P14 NaN \n",
"\n",
" User Email Team Names Group Names Calendar Date (Local) \\\n",
"0 1d7153fa@nomail.local NaN TUM Projektwoche 2023-12-22 \n",
"1 1d7153fa@nomail.local NaN TUM Projektwoche 2023-12-23 \n",
"2 1d7153fa@nomail.local NaN TUM Projektwoche 2023-12-24 \n",
"3 1d7153fa@nomail.local NaN TUM Projektwoche 2023-12-25 \n",
"4 1d7153fa@nomail.local NaN TUM Projektwoche 2023-12-26 \n",
".. ... ... ... ... \n",
"65 6a9f6a6@nomail.local NaN TUM Projektwoche 2024-01-04 \n",
"66 6a9f6a6@nomail.local NaN TUM Projektwoche 2024-01-05 \n",
"67 6a9f6a6@nomail.local NaN TUM Projektwoche 2024-01-06 \n",
"68 6a9f6a6@nomail.local NaN TUM Projektwoche 2024-01-07 \n",
"69 6a9f6a6@nomail.local NaN TUM Projektwoche 2024-01-08 \n",
"\n",
" Start Time (Local) End Time (Local) Time Zone (Local) ... \\\n",
"0 2023-12-22 01:00:00 2023-12-23 00:00:00 100 ... \n",
"1 2023-12-23 01:00:00 2023-12-24 00:00:00 100 ... \n",
"2 2023-12-24 01:00:00 2023-12-25 00:00:00 100 ... \n",
"3 2023-12-25 01:00:00 2023-12-26 00:00:00 100 ... \n",
"4 2023-12-26 01:00:00 2023-12-27 00:00:00 100 ... \n",
".. ... ... ... ... \n",
"65 2024-01-04 01:00:00 2024-01-05 00:00:00 100 ... \n",
"66 2024-01-05 00:00:00 2024-01-06 00:00:00 100 ... \n",
"67 2024-01-06 00:00:00 2024-01-07 00:00:00 100 ... \n",
"68 2024-01-07 01:00:00 2024-01-08 00:00:00 100 ... \n",
"69 2024-01-08 00:00:00 2024-01-08 08:29:00 100 ... \n",
"\n",
" Rest Stress Duration (s) Activity Stress Duration (s) \\\n",
"0 NaN NaN \n",
"1 4620.0 NaN \n",
"2 0.0 NaN \n",
"3 2760.0 NaN \n",
"4 12480.0 NaN \n",
".. ... ... \n",
"65 4620.0 NaN \n",
"66 21360.0 NaN \n",
"67 NaN NaN \n",
"68 480.0 NaN \n",
"69 26580.0 NaN \n",
"\n",
" Low Stress Duration (s) Medium Stress Duration (s) \\\n",
"0 NaN NaN \n",
"1 26640.0 22440.0 \n",
"2 0.0 0.0 \n",
"3 39780.0 15180.0 \n",
"4 22500.0 13200.0 \n",
".. ... ... \n",
"65 2700.0 9360.0 \n",
"66 9240.0 11340.0 \n",
"67 NaN NaN \n",
"68 0.0 420.0 \n",
"69 360.0 1020.0 \n",
"\n",
" High Stress Duration (s) Stress Qualifier Garmin Connect Steps Goal \\\n",
"0 NaN NaN NaN \n",
"1 23100.0 stressful NaN \n",
"2 0.0 calm NaN \n",
"3 8940.0 balanced NaN \n",
"4 4560.0 balanced NaN \n",
".. ... ... ... \n",
"65 11760.0 stressful NaN \n",
"66 8400.0 balanced NaN \n",
"67 NaN NaN NaN \n",
"68 2940.0 stressful NaN \n",
"69 360.0 calm NaN \n",
"\n",
" Garmin Connect Net Kilocalories Goal \\\n",
"0 NaN \n",
"1 NaN \n",
"2 NaN \n",
"3 NaN \n",
"4 NaN \n",
".. ... \n",
"65 NaN \n",
"66 NaN \n",
"67 NaN \n",
"68 NaN \n",
"69 NaN \n",
"\n",
" Garmin Connect Intensity Duration Goal (s) \\\n",
"0 NaN \n",
"1 NaN \n",
"2 NaN \n",
"3 NaN \n",
"4 NaN \n",
".. ... \n",
"65 NaN \n",
"66 NaN \n",
"67 NaN \n",
"68 NaN \n",
"69 NaN \n",
"\n",
" Garmin Connect Floors Climbed Gloal \n",
"0 NaN \n",
"1 NaN \n",
"2 NaN \n",
"3 NaN \n",
"4 NaN \n",
".. ... \n",
"65 NaN \n",
"66 NaN \n",
"67 NaN \n",
"68 NaN \n",
"69 NaN \n",
"\n",
"[70 rows x 42 columns]"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Load dataset\n",
"d_df = pd.read_csv('../data/garmin/dailies.csv', sep=',')\n",
"\n",
"# Trim columns\n",
"#d_df = d_df.loc[:, ['User First Name', 'Calendar Date (Local)', 'Start Time (Local)', 'End Time (Local)', 'Steps', 'Stress Duration (s)']]\n",
"\n",
"# Convert timestamp values\n",
"d_df['Calendar Date (Local)'] = pd.to_datetime(d_df['Calendar Date (Local)'])\n",
"d_df['Start Time (Local)'] = pd.to_datetime(d_df['Start Time (Local)'])\n",
"d_df['End Time (Local)'] = pd.to_datetime(d_df['End Time (Local)'])\n",
"\n",
"# Select user = P12 and day = 2023-12-24\n",
"#d_df = d_df[d_df['User First Name'] == 'P12']\n",
"#d_df = d_df[d_df['Calendar Date (Local)'] == '2023-12-24']\n",
"\n",
"print(d_df.dtypes)\n",
"\n",
"d_df"
]
},
{
"cell_type": "markdown",
"id": "46ea7da9-22b1-4a4d-8b94-48bfb82511fb",
"metadata": {},
"source": [
"### Steps and Distance per User"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "0a454f82-a99d-4956-a34f-1ba8fc4af724",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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SpUrlWwiZmZnpPJ4AAL766itkZWUVqU/Hjx/P83kApOuLcp+2ya9PZmZm6NSpE77//nvpCEpujx8/zrNs06ZNOtfkfPfdd3j48KE0/pSUFGRmZur8TEBAANRqdZ7HAeQnMzNTeqYO8FcBsGrVKjg4OKBOnToAgC5duuD+/ftYs2ZNnp//888/i3Sn1T/JysrCqFGjcP36dYwaNQq2trYAIF1zk/v3kJycjPXr1+f7Od26dYNKpcJ//vMf3L59u1jPAQsODoZGo8GSJUt08r/++mskJydLd/cVRc7v8+/zHQCWLVumsw6APA+KtLGxgbe3t/Q7d3R0RLNmzbBq1SqdYj5HfnOtpFSrVg27d+/O86patSrc3d2xe/duDBgwoKS7SQbGI01EhdC+fXs0b94cn376KeLj41GjRg0cPnwYP/74I0aPHi3dwg8AderUwZEjR7BgwQK4urrCy8sLDRo0QLt27fDNN9/Azs4O/v7+iIyMxJEjR4p8S/TIkSPx8uVLvP/++/D19UV6ejpOnz6N7du3w9PTU+ei34L6NGfOHBw/fhwNGjTAoEGD4O/vj6dPn+LixYs4cuQInj59qpNZtmxZNGnSBP369UNiYiIWLVoEb29vDBo0CMBft/ePGDECH374ISpXrozMzEx88803UoH2T1xdXTF37lzEx8ejcuXK2L59Oy5duoTVq1dLt8/36tULO3bswJAhQ3D8+HE0btwYWVlZiI2NxY4dO3Do0CHpaFtRJCcnY/PmzQD+egBkzhPBb926ha5du2LmzJnSui1btoRGo0H79u3x8ccf48WLF1izZg0cHR3zLQ4cHBzQqlUr7Ny5E/b29sUqbBwcHDBp0iRMnz4drVq1QocOHXDjxg0sX74c9erVK1ZBVrNmTQwcOBCLFy/GzZs3pccGhIeH48CBAxg4cCBq1Kghre/v749mzZqhTp06KFu2LC5cuIDvvvsOI0aMkNZZtmwZmjRpgoCAAAwaNAiVKlVCYmIiIiMj8fvvv+Py5ctF7q9cERERiIiIAPBXoZaamiod/QwKCkJQUBDKly+f75Pzc44s8an6/1IldNcekUn4+yMHhBDi+fPnYsyYMcLV1VVYWFgIHx8f8cUXX4js7Gyd9WJjY0VQUJCwsrISAKRbs589eyb69esnypcvL2xsbERISIiIjY0VHh4eOrdvy33kwMGDB0X//v2Fr6+vsLGxERqNRnh7e4uRI0eKxMREWX0SQojExEQxfPhw4ebmJiwsLISzs7No0aKFWL16dZ4+ffvtt2LSpEnC0dFRWFlZibZt24o7d+5I692+fVv0799fvPXWW0Kr1YqyZcuK5s2biyNHjvzjNs+5pfvChQsiMDBQaLVa4eHhIZYuXZpn3fT0dDF37lxRtWpVYWlpKcqUKSPq1Kkjpk+fLpKTk6X1AIjhw4f/Y3buPgCQXjY2NsLHx0f07NlTHD58ON+f2bNnj6hevbrQarXC09NTzJ07V6xbt04AEHFxcXnWz3lMw+DBg2X3K79HDuRYunSp8PX1FRYWFsLJyUkMHTpUPHv2LM+4Cnu7fFZWlli8eLGoUaOG0Gq1QqvViho1aoglS5boPOJACCFmzZol6tevL+zt7YWVlZXw9fUVn332WZ7HX9y6dUv07t1bODs7CwsLC1GhQgXRrl078d1330nr5Dxy4Pz587L6mfPIgS+++OIf183Zjvm9pk6d+tqf5SMH/t1UQuRzXJ+IKB8nTpxA8+bNsXPnTnTu3PmNZDRr1gxPnjzJ91Shkvz444/o2LEjIiIi0LRp05LuDhHJwGuaiIhKwJo1a1CpUiXpYnIiMn68pomIyIC2bduGK1euYP/+/Vi8eLFB7/wjouJh0UREZEDdunWDjY0NBgwYgGHDhpV0d4ioEHhNExEREZEMvKaJiIiISAYWTUREREQy8JomPcnOzsaDBw9QunRpXthJRERkIoQQeP78OVxdXaFWv/5YEosmPXnw4EGeLwglIiIi03Dv3r1//DJxFk16kvPlrffu3ZO+j4qIiIiMW0pKCtzc3HS+hL0gLJr0JOeUnK2tLYsmIiIiEyPn0hpeCE5EREQkA4smIiIiIhlYNBERERHJwGuaiIiIjERWVhYyMjJKuhuKYmFhATMzM718FosmIiKiEiaEQEJCApKSkkq6K4pkb28PZ2fnYj9HkUUTERFRCcspmBwdHWFtbc2HJOuJEAIvX77Eo0ePAAAuLi7F+jwWTURERCUoKytLKpjKlStX0t1RHCsrKwDAo0eP4OjoWKxTdbwQnIiIqATlXMNkbW1dwj1RrpxtW9zrxVg0ERERGQGekntz9LVtWTQRERERycCiiYiIiEgGXghORERkpDwn7jdoXvyctoX+mcePHyM0NBT79+9HYmIiypQpgxo1aiA0NBSNGzeGSqXC7t270bFjR/132MBYNBEREVGRderUCenp6di4cSMqVaqExMREHD16FH/88UdJd03veHqOiIiIiiQpKQk///wz5s6di+bNm8PDwwP169fHpEmT0KFDB3h6egIA3n//fahUKuk9APz444+oXbs2tFotKlWqhOnTpyMzM1NqV6lUWLFiBVq3bg0rKytUqlQJ3333ndSenp6OESNGwMXFBVqtFh4eHpg9e/YbHS+LJiIiIioSGxsb2NjY4IcffkBaWlqe9vPnzwMA1q9fj4cPH0rvf/75Z/Tu3Rv/+c9/EBMTg1WrVmHDhg347LPPdH5+ypQp6NSpEy5fvowePXqga9euuH79OgBgyZIl2LNnD3bs2IEbN25gy5YtOkXZm8DTc0RkFIpy7UZRrr8gIv0xNzfHhg0bMGjQIKxcuRK1a9fG22+/ja5du6J69epwcHAA8H9fY5Jj+vTpmDhxIvr06QMAqFSpEmbOnInx48dj6tSp0noffvghBg4cCACYOXMmwsPD8dVXX2H58uW4e/cufHx80KRJE6hUKnh4eLzx8fJIExERERVZp06d8ODBA+zZswetWrXCiRMnULt2bWzYsKHAn7l8+TJmzJghHamysbHBoEGD8PDhQ7x8+VJaLzAwUOfnAgMDpSNNffv2xaVLl1ClShWMGjUKhw8ffiPjy41FExERERWLVqvFu+++iylTpuD06dPo27evzhGjv3vx4gWmT5+OS5cuSa+rV6/i5s2b0Gq1sjJr166NuLg4zJw5E3/++Se6dOmCzp0762tI+WLRRERERHrl7++P1NRUAICFhQWysrJ02mvXro0bN27A29s7z0ut/r/S5MyZMzo/d+bMGfj5+UnvbW1t8dFHH2HNmjXYvn07vv/+ezx9+vSNjYvXNBEREVGR/PHHH/jwww/Rv39/VK9eHaVLl8aFCxcwb948vPfeewAAT09PHD16FI0bN4alpSXKlCmD0NBQtGvXDu7u7ujcuTPUajUuX76Ma9euYdasWdLn79y5E3Xr1kWTJk2wZcsWnDt3Dl9//TUAYMGCBXBxcUGtWrWgVquxc+dOODs7w97e/o2Nl0UTERGRkTL2mx1sbGzQoEEDLFy4ELdu3UJGRgbc3NwwaNAg/O9//wMAzJ8/H2PHjsWaNWtQoUIFxMfHIyQkBPv27cOMGTMwd+5cWFhYwNfXV7roO8f06dOxbds2DBs2DC4uLvj222/h7+8PAChdujTmzZuHmzdvwszMDPXq1cOBAwd0jlTpW4menouIiED79u3h6uoKlUqFH374QaddCIHQ0FC4uLjAysoKwcHBuHnzps46T58+RY8ePWBrawt7e3sMGDAAL1680FnnypUraNq0KbRaLdzc3DBv3rw8fdm5cyd8fX2h1WoREBCAAwcO6H28RERESmJpaYnZs2cjKioKSUlJSE1NRWxsLGbOnAkrKysAQPv27XHz5k1kZGQgPj5e+tmQkBCcOnUKL1++RHJyMs6ePYtBgwbpfL6rqysOHz6MV69eIS4uDl26dJHaBg0ahF9++QUvXrxAcnIyjhw5glq1ar3R8ZbokabU1FTUqFED/fv3xwcffJCnfd68eViyZAk2btwILy8vTJkyBSEhIYiJiZEuFOvRowcePnyI8PBwZGRkoF+/fhg8eDC2bt0KAEhJSUHLli0RHByMlStX4urVq+jfvz/s7e0xePBgAMDp06fRrVs3zJ49G+3atcPWrVvRsWNHXLx4EdWqVTPcBiEiKqKift2GsR/JIDImJVo0tW7dGq1bt863TQiBRYsWYfLkydJ50U2bNsHJyQk//PCD9ICrsLAwnD9/HnXr1gUAfPXVV2jTpg2+/PJLuLq6YsuWLUhPT8e6deug0WhQtWpVXLp0CQsWLJCKpsWLF6NVq1YYN24cgP97FsTSpUuxcuVKA2wJIiIiMnZGe/dcXFwcEhISEBwcLC2zs7NDgwYNEBkZCQCIjIyEvb29VDABQHBwMNRqNc6ePSutExQUBI1GI60TEhKCGzdu4NmzZ9I6uXNy1snJyU9aWhpSUlJ0XkRERKQfQgij+5Jfoy2aEhISAABOTk46y52cnKS2hIQEODo66rSbm5ujbNmyOuvk9xm5MwpaJ6c9P7Nnz4adnZ30cnNzK+wQiYiIyIQYbdFk7CZNmoTk5GTpde/evZLuEhERmTAhREl3QbH0tW2NtmjK+Y6axMREneWJiYlSm7OzMx49eqTTnpmZiadPn+qsk99n5M4oaJ3c35Pzd5aWlrC1tdV5ERERFZaFhQUA6Hx9COlXzrbN2dZFZbTPafLy8oKzszOOHj2KmjVrAvjrTrizZ89i6NChAP76DpqkpCRERUWhTp06AIBjx44hOzsbDRo0kNb59NNPkZGRIW2s8PBwVKlSBWXKlJHWOXr0KEaPHi3lh4eH5/nOGyIiIn0zMzODvb29dBDA2toaKpWqhHulDEIIvHz5Eo8ePYK9vT3MzMyK9XklWjS9ePECv/32m/Q+Li4Oly5dQtmyZeHu7o7Ro0dj1qxZ8PHxkR454OrqKl0Y5ufnh1atWknfrpyRkYERI0aga9eucHV1BQB0794d06dPx4ABAzBhwgRcu3YNixcvxsKFC6Xc//znP3j77bcxf/58tG3bFtu2bcOFCxewevVqg24PIiL6d8o5s/H3syekH/b29q89eyRXiRZNFy5cQPPmzaX3Y8eOBQD06dMHGzZswPjx45GamorBgwcjKSkJTZo0QVhYmM6X+W3ZsgUjRoxAixYtoFar0alTJyxZskRqt7Ozw+HDhzF8+HDUqVMH5cuXR2hoqPS4AQBo1KgRtm7dismTJ+N///sffHx88MMPP/AZTUREZBAqlQouLi5wdHRERkZGSXdHUSwsLIp9hCmHSvDKM71ISUmBnZ0dkpOTeX0TUREU5eGMfDDj/+HDLYmKpjD/fhvtheBERERExoRFExEREZEMLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMpiXdAeIiIiMgefE/YX+mfg5bd9AT8hY8UgTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMRl00ZWVlYcqUKfDy8oKVlRXeeustzJw5E0IIaR0hBEJDQ+Hi4gIrKysEBwfj5s2bOp/z9OlT9OjRA7a2trC3t8eAAQPw4sULnXWuXLmCpk2bQqvVws3NDfPmzTPIGImIiMg0GHXRNHfuXKxYsQJLly7F9evXMXfuXMybNw9fffWVtM68efOwZMkSrFy5EmfPnkWpUqUQEhKCV69eSev06NED0dHRCA8Px759+xAREYHBgwdL7SkpKWjZsiU8PDwQFRWFL774AtOmTcPq1asNOl4iIiIyXuYl3YHXOX36NN577z20bdsWAODp6Ylvv/0W586dA/DXUaZFixZh8uTJeO+99wAAmzZtgpOTE3744Qd07doV169fR1hYGM6fP4+6desCAL766iu0adMGX375JVxdXbFlyxakp6dj3bp10Gg0qFq1Ki5duoQFCxboFFdERET072XUR5oaNWqEo0eP4tdffwUAXL58GSdPnkTr1q0BAHFxcUhISEBwcLD0M3Z2dmjQoAEiIyMBAJGRkbC3t5cKJgAIDg6GWq3G2bNnpXWCgoKg0WikdUJCQnDjxg08e/Ys376lpaUhJSVF50VERETKZdRHmiZOnIiUlBT4+vrCzMwMWVlZ+Oyzz9CjRw8AQEJCAgDAyclJ5+ecnJyktoSEBDg6Ouq0m5ubo2zZsjrreHl55fmMnLYyZcrk6dvs2bMxffp0PYySiIiITIFRH2nasWMHtmzZgq1bt+LixYvYuHEjvvzyS2zcuLGku4ZJkyYhOTlZet27d6+ku0RERERvkFEfaRo3bhwmTpyIrl27AgACAgJw584dzJ49G3369IGzszMAIDExES4uLtLPJSYmombNmgAAZ2dnPHr0SOdzMzMz8fTpU+nnnZ2dkZiYqLNOzvucdf7O0tISlpaWxR8kERERmQSjPtL08uVLqNW6XTQzM0N2djYAwMvLC87Ozjh69KjUnpKSgrNnzyIwMBAAEBgYiKSkJERFRUnrHDt2DNnZ2WjQoIG0TkREBDIyMqR1wsPDUaVKlXxPzREREdG/j1EXTe3bt8dnn32G/fv3Iz4+Hrt378aCBQvw/vvvAwBUKhVGjx6NWbNmYc+ePbh69Sp69+4NV1dXdOzYEQDg5+eHVq1aYdCgQTh37hxOnTqFESNGoGvXrnB1dQUAdO/eHRqNBgMGDEB0dDS2b9+OxYsXY+zYsSU1dCIiIjIyRn167quvvsKUKVMwbNgwPHr0CK6urvj4448RGhoqrTN+/HikpqZi8ODBSEpKQpMmTRAWFgatViuts2XLFowYMQItWrSAWq1Gp06dsGTJEqndzs4Ohw8fxvDhw1GnTh2UL18eoaGhfNwAERERSVQi9+O1qchSUlJgZ2eH5ORk2NralnR3iEyO58T9hf6Z+Dlt30BPTFNRth/AbZgb5+C/U2H+/Tbq03NERERExoJFExEREZEMLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZzEu6A0RERAXxnLi/0D8TP6ftG+gJEY80EREREcnCoomIiIhIBhZNRERERDLwmiYyOF6jQEREpohHmoiIiIhkYNFEREREJANPz5Gi8VQgERHpC480EREREcnAoomIiIhIBhZNRERERDLwmiYiPeH1U0REysYjTUREREQysGgiIiIikoFFExEREZEMLJqIiIiIZGDRRERERCQD754jogIV5Y5AgHcFEpEy8UgTERERkQwsmoiIiIhkMPqi6f79++jZsyfKlSsHKysrBAQE4MKFC1K7EAKhoaFwcXGBlZUVgoODcfPmTZ3PePr0KXr06AFbW1vY29tjwIABePHihc46V65cQdOmTaHVauHm5oZ58+YZZHxERERkGoy6aHr27BkaN24MCwsLHDx4EDExMZg/fz7KlCkjrTNv3jwsWbIEK1euxNmzZ1GqVCmEhITg1atX0jo9evRAdHQ0wsPDsW/fPkRERGDw4MFSe0pKClq2bAkPDw9ERUXhiy++wLRp07B69WqDjpeIiIiMl1FfCD537ly4ublh/fr10jIvLy/pv4UQWLRoESZPnoz33nsPALBp0yY4OTnhhx9+QNeuXXH9+nWEhYXh/PnzqFu3LgDgq6++Qps2bfDll1/C1dUVW7ZsQXp6OtatWweNRoOqVavi0qVLWLBggU5xRURERP9eRn2kac+ePahbty4+/PBDODo6olatWlizZo3UHhcXh4SEBAQHB0vL7Ozs0KBBA0RGRgIAIiMjYW9vLxVMABAcHAy1Wo2zZ89K6wQFBUGj0UjrhISE4MaNG3j27Fm+fUtLS0NKSorOi4iIiJTLqIum27dvY8WKFfDx8cGhQ4cwdOhQjBo1Chs3bgQAJCQkAACcnJx0fs7JyUlqS0hIgKOjo067ubk5ypYtq7NOfp+RO+PvZs+eDTs7O+nl5uZWzNESERGRMTPqoik7Oxu1a9fG559/jlq1amHw4MEYNGgQVq5cWdJdw6RJk5CcnCy97t27V9JdIiIiojfIqIsmFxcX+Pv76yzz8/PD3bt3AQDOzs4AgMTERJ11EhMTpTZnZ2c8evRIpz0zMxNPnz7VWSe/z8id8XeWlpawtbXVeREREZFy6a1oSkpK0tdHSRo3bowbN27oLPv111/h4eEB4K+Lwp2dnXH06FGpPSUlBWfPnkVgYCAAIDAwEElJSYiKipLWOXbsGLKzs9GgQQNpnYiICGRkZEjrhIeHo0qVKjp36hEREdG/V5GKprlz52L79u3S+y5duqBcuXKoUKECLl++rLfOjRkzBmfOnMHnn3+O3377DVu3bsXq1asxfPhwAIBKpcLo0aMxa9Ys7NmzB1evXkXv3r3h6uqKjh07AvjryFSrVq0waNAgnDt3DqdOncKIESPQtWtXuLq6AgC6d+8OjUaDAQMGIDo6Gtu3b8fixYsxduxYvY2FiIiITFuRiqaVK1dKFz6Hh4cjPDwcBw8eROvWrTFu3Di9da5evXrYvXs3vv32W1SrVg0zZ87EokWL0KNHD2md8ePHY+TIkRg8eDDq1auHFy9eICwsDFqtVlpny5Yt8PX1RYsWLdCmTRs0adJE5xlMdnZ2OHz4MOLi4lCnTh3897//RWhoKB83QERERJIiPacpISFBKpr27duHLl26oGXLlvD09JROeelLu3bt0K5duwLbVSoVZsyYgRkzZhS4TtmyZbF169bX5lSvXh0///xzkftJREREylakI01lypSR7hYLCwuTnpMkhEBWVpb+ekdERERkJIp0pOmDDz5A9+7d4ePjgz/++AOtW7cGAPzyyy/w9vbWaweJiIiIjEGRiqaFCxfC09MT9+7dw7x582BjYwMAePjwIYYNG6bXDhIREREZgyIVTRYWFvjkk0/yLB8zZkyxO0RERERkjIr8hb03btzAV199hevXrwP469b+kSNHokqVKnrrHBEREZGxKNKF4N9//z2qVauGqKgo1KhRAzVq1MDFixdRrVo1fP/99/ruIxEREVGJK9KRpvHjx2PSpEl5bvOfOnUqxo8fj06dOumlc0RERETGokhHmh4+fIjevXvnWd6zZ088fPiw2J0iIiIiMjZFKpqaNWuW74MgT548iaZNmxa7U0RERETGpkin5zp06IAJEyYgKioKDRs2BACcOXMGO3fuxPTp07Fnzx6ddYmIiIhMXZGKppxnMS1fvhzLly/Ptw346ytO+IRwIiIiUoIiFU3Z2dn67gcRERGRUSvyc5pyvHr1ClqtVh99ISJSHM+J+wv9M/Fz2r6BnhBRcRXpQvCsrCzMnDkTFSpUgI2NDW7fvg0AmDJlCr7++mu9dpCIiIjIGBSpaPrss8+wYcMGzJs3DxqNRlperVo1rF27Vm+dIyIiIjIWRSqaNm3ahNWrV6NHjx4wMzOTlteoUQOxsbF66xwRERGRsShS0XT//n14e3vnWZ6dnY2MjIxid4qIiIjI2BSpaPL398/34ZbfffcdatWqVexOERERERmbIt09Fxoaij59+uD+/fvIzs7Grl27cOPGDWzatAn79u3Tdx+JiIiISlyRjjS999572Lt3L44cOYJSpUohNDQU169fx969e/Huu+/qu49EREREJa7Iz2lq2rQpwsPD9dkXIiIiIqNVpCNNlSpVwh9//JFneVJSEipVqlTsThEREREZmyIVTfHx8fl+p1xaWhru379f7E4RERERGZtCnZ7bs2eP9N+HDh2CnZ2d9D4rKwtHjx6Fp6en3jpHREREZCwKVTR17NgRAKBSqdCnTx+dNgsLC3h6emL+/Pl66xwRERGRsShU0ZSdnQ0A8PLywvnz51G+fPk30ikiIiIiY1Ooa5oiIyOxb98+xMXFSQXTpk2b4OXlBUdHRwwePBhpaWlvpKNEREREJalQRdP06dMRHR0tvb969SoGDBiA4OBgTJw4EXv37sXs2bP13kkiIiKiklaoouny5cto0aKF9H7btm1o0KAB1qxZg7Fjx2LJkiXYsWOH3jtJREREVNIKVTQ9e/YMTk5O0vuffvoJrVu3lt7Xq1cP9+7d01/viIiIiIxEoYomJycnxMXFAQDS09Nx8eJFNGzYUGp//vw5LCws9NtDIiIiIiNQqKKpTZs2mDhxIn7++WdMmjQJ1tbWaNq0qdR+5coVvPXWW3rvJBEREVFJK9QjB2bOnIkPPvgAb7/9NmxsbLBx40ZoNBqpfd26dWjZsqXeO0lERERU0gpVNJUvXx4RERFITk6GjY0NzMzMdNp37twJGxsbvXaQiIiIyBgUqmjKkfvrU3IrW7ZssTpDREREZKyK9IW9RERERP82LJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAaTKprmzJkDlUqF0aNHS8tevXqF4cOHo1y5crCxsUGnTp2QmJio83N3795F27ZtYW1tDUdHR4wbNw6ZmZk665w4cQK1a9eGpaUlvL29sWHDBgOMiIiIiEyFyRRN58+fx6pVq1C9enWd5WPGjMHevXuxc+dO/PTTT3jw4AE++OADqT0rKwtt27ZFeno6Tp8+jY0bN2LDhg0IDQ2V1omLi0Pbtm3RvHlzXLp0CaNHj8bAgQNx6NAhg42PiIiIjJt5SXdAjhcvXqBHjx5Ys2YNZs2aJS1PTk7G119/ja1bt+Kdd94BAKxfvx5+fn44c+YMGjZsiMOHDyMmJgZHjhyBk5MTatasiZkzZ2LChAmYNm0aNBoNVq5cCS8vL8yfPx8A4Ofnh5MnT2LhwoUICQkpkTEDgOfE/UX6ufg5bfXcEyIiIjKJI03Dhw9H27ZtERwcrLM8KioKGRkZOst9fX3h7u6OyMhIAEBkZCQCAgLg5OQkrRMSEoKUlBRER0dL6/z9s0NCQqTPyE9aWhpSUlJ0XkRERKRcRn+kadu2bbh48SLOnz+fpy0hIQEajQb29vY6y52cnJCQkCCtk7tgymnPaXvdOikpKfjzzz9hZWWVJ3v27NmYPn16kcdFREREpsWoi6Z79+7hP//5D8LDw6HVaku6OzomTZqEsWPHSu9TUlLg5uZWgj0iIjIMXjpA/1ZGXTRFRUXh0aNHqF27trQsKysLERERWLp0KQ4dOoT09HQkJSXpHG1KTEyEs7MzAMDZ2Rnnzp3T+dycu+tyr/P3O+4SExNha2ub71EmALC0tISlpWWxx0hUWPwHi4ioZBj1NU0tWrTA1atXcenSJelVt25d9OjRQ/pvCwsLHD16VPqZGzdu4O7duwgMDAQABAYG4urVq3j06JG0Tnh4OGxtbeHv7y+tk/szctbJ+QwiIiIioz7SVLp0aVSrVk1nWalSpVCuXDlp+YABAzB27FiULVsWtra2GDlyJAIDA9GwYUMAQMuWLeHv749evXph3rx5SEhIwOTJkzF8+HDpSNGQIUOwdOlSjB8/Hv3798exY8ewY8cO7N9ftL/oiYiISHmMumiSY+HChVCr1ejUqRPS0tIQEhKC5cuXS+1mZmbYt28fhg4disDAQJQqVQp9+vTBjBkzpHW8vLywf/9+jBkzBosXL0bFihWxdu3aEn3cABERERkXkyuaTpw4ofNeq9Vi2bJlWLZsWYE/4+HhgQMHDrz2c5s1a4ZffvlFH10kIiIiBTK5osnYVZt6CGpL6zzLeREuERGRaTPqC8GJiIiIjAWLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGQw6qJp9uzZqFevHkqXLg1HR0d07NgRN27c0Fnn1atXGD58OMqVKwcbGxt06tQJiYmJOuvcvXsXbdu2hbW1NRwdHTFu3DhkZmbqrHPixAnUrl0blpaW8Pb2xoYNG9708IiIiMiEGHXR9NNPP2H48OE4c+YMwsPDkZGRgZYtWyI1NVVaZ8yYMdi7dy927tyJn376CQ8ePMAHH3wgtWdlZaFt27ZIT0/H6dOnsXHjRmzYsAGhoaHSOnFxcWjbti2aN2+OS5cuYfTo0Rg4cCAOHTpk0PESERGR8TIv6Q68TlhYmM77DRs2wNHREVFRUQgKCkJycjK+/vprbN26Fe+88w4AYP369fDz88OZM2fQsGFDHD58GDExMThy5AicnJxQs2ZNzJw5ExMmTMC0adOg0WiwcuVKeHl5Yf78+QAAPz8/nDx5EgsXLkRISIjBx01ERETGx6iPNP1dcnIyAKBs2bIAgKioKGRkZCA4OFhax9fXF+7u7oiMjAQAREZGIiAgAE5OTtI6ISEhSElJQXR0tLRO7s/IWSfnM/KTlpaGlJQUnRcREREpl8kUTdnZ2Rg9ejQaN26MatWqAQASEhKg0Whgb2+vs66TkxMSEhKkdXIXTDntOW2vWyclJQV//vlnvv2ZPXs27OzspJebm1uxx0hERETGy2SKpuHDh+PatWvYtm1bSXcFADBp0iQkJydLr3v37pV0l4iIiOgNMuprmnKMGDEC+/btQ0REBCpWrCgtd3Z2Rnp6OpKSknSONiUmJsLZ2Vla59y5czqfl3N3Xe51/n7HXWJiImxtbWFlZZVvnywtLWFpaVnssREREZFpMOojTUIIjBgxArt378axY8fg5eWl016nTh1YWFjg6NGj0rIbN27g7t27CAwMBAAEBgbi6tWrePTokbROeHg4bG1t4e/vL62T+zNy1sn5DCIiIiKjPtI0fPhwbN26FT/++CNKly4tXYNkZ2cHKysr2NnZYcCAARg7dizKli0LW1tbjBw5EoGBgWjYsCEAoGXLlvD390evXr0wb948JCQkYPLkyRg+fLh0pGjIkCFYunQpxo8fj/79++PYsWPYsWMH9u/fX2JjJyIiIuNi1EeaVqxYgeTkZDRr1gwuLi7Sa/v27dI6CxcuRLt27dCpUycEBQXB2dkZu3btktrNzMywb98+mJmZITAwED179kTv3r0xY8YMaR0vLy/s378f4eHhqFGjBubPn4+1a9fycQNEREQkMeojTUKIf1xHq9Vi2bJlWLZsWYHreHh44MCBA6/9nGbNmuGXX34pdB+JiIjo38GojzQRERERGQsWTUREREQysGgiIiIiksGor2kiIiJSIs+Jhb87O35O2zfQEyoMHmkiIiIikoFFExEREZEMLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhk4HfPEQB+DxIREdE/4ZEmIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERyWBe0h0gIiIiKgzPifsL/TPxc9oWO5dHmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhn43XNERERUbEX5PjhAP98JZyg80kREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0/c2yZcvg6ekJrVaLBg0a4Ny5cyXdJSIiIjIC/O65XLZv346xY8di5cqVaNCgARYtWoSQkBDcuHEDjo6OJd09ItKTonxHlil9PxZRjn/D98EZEo805bJgwQIMGjQI/fr1g7+/P1auXAlra2usW7eupLtGREREJYxF0/+Xnp6OqKgoBAcHS8vUajWCg4MRGRlZgj0jIiIiY8DTc//fkydPkJWVBScnJ53lTk5OiI2NzbN+Wloa0tLSpPfJyckAgOy0l/l+fkpKSqH7VNBn/RNDZRUlh1nFzzL2eWHILGP/XRkyy9h/V4bMMvbflSGzjP13ZcisgnJylgsh/vlDBAkhhLh//74AIE6fPq2zfNy4caJ+/fp51p86daoAwBdffPHFF198KeB17969f6wVeKTp/ytfvjzMzMyQmJioszwxMRHOzs551p80aRLGjh0rvU9KSoKHhwfu3r0LOzu7N9rXlJQUuLm54d69e7C1tWWWkeYwy7SylDgmZplWlhLHZApZQgg8f/4crq6u/7gui6b/T6PRoE6dOjh69Cg6duwIAMjOzsbRo0cxYsSIPOtbWlrC0tIyz3I7O7s3Pily2NraMssEcphlWllKHBOzTCtLiWMy9iy5BztYNOUyduxY9OnTB3Xr1kX9+vWxaNEipKamol+/fiXdNSIiIiphLJpy+eijj/D48WOEhoYiISEBNWvWRFhYWJ6Lw4mIiOjfh0XT34wYMSLf03H/xNLSElOnTs33lJ2+Mcs0cphlWllKHBOzTCtLiWNSWpZKCDn32BERERH9u/HhlkREREQysGgiIiIikoFFExEREZEMLJqIiIiIZODdc8WQnJyMhIQEAICzs/MbfxJ4znfdGeIOBCVmGSpHqfPCkOMyZBa3X/EpcX9hyCwlzkFAoePSzze3/busWbNG+Pn5CbVarfPy8/MTa9eu1WvW4cOHRevWrYW9vb2UY29vL1q3bi3Cw8OZZSQ5Qih3XhhyXIbK4vYrPiXuLwyZpdQ5qNRx5WDRVEjz5s0T1tbWYuLEieL48eMiJiZGxMTEiOPHj4tJkyaJUqVKiS+++EIvWRs2bBDm5uaia9euYv369eLAgQPiwIEDYv369aJbt27CwsJCbNq0iVklnCOEcueFIcdlqCxuv+JT4v7CkFlKnYNKHVduLJoKyd3dXWzfvr3A9m3btgk3Nze9ZPn4+IilS5cW2L5s2TLh7e3NrBLOEUK588KQ4zJUFrdf8Slxf2HILKXOQaWOKzcWTYWk1WpFTExMge3R0dHCyspKL1mWlpYiNja2wPbY2Fih1WqZVcI5Qih3XhhyXIbK4vYrPiXuLwyZpdQ5qNRx5ca75wqpXr16mDNnDjIzM/O0ZWVlYe7cuahXr55esqpWrYqvv/66wPZ169bB39+fWSWcAyh3XhhyXIbK4vYrPiXuLwyZpdQ5qNRx5cavUSmkK1euICQkBBkZGQgKCpK+zDcxMRERERHQaDQ4fPgwqlWrVuysEydOoF27dqhUqRKCg4N1so4ePYrbt29j//79CAoKYlYJj0mp88KQ4zJUFrefac1BJWYpdQ4qdVy5sWgqgufPn2Pz5s04c+aMzm2OgYGB6N69O2xtbfWWFR8fjxUrVuSbNWTIEHh6ejLLCHIA5c4LQ47LUFncfsWnxP2FIbOUOgeVOq4cLJqIiIiIZODDLYsoISEBZ8+elapbFxcX1K9fH87OznrPyszMRHR0tE6Wn58fLCwsmGVEOYBy54Uhx2WoLG6/4lPi/sKQWUqdg0odFwA+3LKwXrx4IXr06CHMzMyEubm5cHR0FI6OjsLc3FyYmZmJnj17itTUVL1kZWVliU8//VTY29sLlUql87K3txeTJ08WWVlZzCrhHCGUOy8MOS5DZXH7FZ8S9xeGzFLqHFTquHJj0VRIAwYMED4+PiIsLExkZmZKyzMzM8WhQ4dE5cqVxcCBA/WSNW7cOOHg4CBWrlwp4uLixMuXL8XLly9FXFycWLVqlXB0dBTjx49nVgnnCKHceWHIcRkqi9uv+JS4vzBkllLnoFLHlRuLpkKyt7cXp06dKrD95MmTwt7eXi9ZTk5OIiwsrMD2sLAw4ejoyKwSzhFCufPCkOMyVBa3X/EpcX9hyCylzkGljis3PqepkLKzs6HRaAps12g0yM7O1kvW8+fP4erqWmC7i4sLUlNTmVXCOYBy54Uhx2WoLG6/4lPi/sKQWUqdg0odlw69l2EK1717d1GrVi1x8eLFPG0XL14UderUET169NBLVps2bUTLli3F48eP87Q9fvxYtGrVSrRt25ZZJZwjhHLnhSHHZagsbr/iU+L+wpBZSp2DSh1XbiyaCunp06eiVatWQqVSibJlywpfX1/h6+srypYtK9RqtWjdurV49uyZXrLu3r0rqlWrJszNzUWtWrVEq1atRKtWrUStWrWEubm5qF69urh79y6zSjhHCOXOC0OOy1BZ3H7Fp8T9hSGzlDoHlTqu3PicpiKKjY1FZGRkngdq+fr66jUnOzsbhw4dyvfhXS1btoRarb8zrErMMuSYAGXOC8Bw4zJUFrdf8Slxf2HILKXOQaWOKweLJiIiIiIZeCE4ERERkQwsmopBrVajatWqOsv8/PxgZmam9ywvLy+8++67OsuCg4NRqVIlZhlRDqDceWHIcRkqi9uv+JS4vzBkllLnoFLHxa9RKYZ169bB3t5eZ9ns2bORnJys96w+ffrAwcFBZ9n777+PJ0+eMMuIcgDlzgtDjstQWdx+xafE/YUhs5Q6B5U6Ll7TRERERCQDT88VU1paGtLS0kq6G2RklDovDDkuJW5Dbj8qaUqdF4YaF4umIggPD0ebNm1QpkwZWFtbw9raGmXKlEGbNm1w5MgRvWbFxMRg2LBhqFWrFlxcXODi4oJatWph2LBhiImJYZaR5ADKnReGHJehsrj9ik+J+wtDZil1Dip1XDl4eq6QNm7ciIEDB6Jz584ICQmBk5MTACAxMRGHDx/Gd999h6+//hq9evUqdtbBgwfRsWNH1K5dO09WeHg4oqKi8OOPPyIkJIRZJTwmpc4LQ47LUFncfqY1B5WYpdQ5qNRx6dD74zIVzsfHRyxdurTA9mXLlglvb2+9ZFWvXl1MmTKlwPapU6eKgIAAZpVwjhDKnReGHJehsrj9ik+J+wtDZil1Dip1XLmxaCokS0tLERsbW2B7bGys0Gq1esnSarXMMoEcIZQ7Lww5LkNlcfsVnxL3F4bMUuocVOq4cuM1TYVUtWpVfP311wW2r1u3Dv7+/nrJ8vT0xP79+wts379/Pzw8PJhVwjmAcueFIcdlqCxuv+JT4v7CkFlKnYNKHVdufE5TIc2fPx/t2rVDWFgYgoODdc6jHj16FLdv337tpCmMGTNmoHv37jhx4kS+WWFhYdi6dSuzSjgHUO68MOS4DJXF7Vd8StxfGDJLqXNQqePSofdjV/8CcXFxYvz48SIoKEhUrlxZVK5cWQQFBYkJEyaIuLg4vWadOnVKfPTRR8Ld3V1oNBqh0WiEu7u7+Oijj8Tp06eZZSQ5Qih3XhhyXIbK4vYrPiXuLwyZpdQ5qNRx5eDdc0REREQy8PRcEWVmZiI6OhoJCQkAABcXF/j5+cHCwuKN5CUnJ0tZzs7OsLOzeyM5Ss0yVI5S54Uhx2XILG6/4lPi/sKQWUqcg4Byx8XTc4WUlZUlPv30U2Fvby9UKpXOy97eXkyePFlkZWXpLW/NmjXCz89PqNVqoVarhUqlEmq1Wvj5+Ym1a9fqLUepWYbKUeq8MOS4DJnF7Vd8StxfGDJLiXNQCOWOKweLpkIaN26ccHBwECtXrhRxcXHi5cuX4uXLlyIuLk6sWrVKODo6ivHjx+sla968ecLa2lpMnDhRHD9+XMTExIiYmBhx/PhxMWnSJFGqVCnxxRdfMKuEc4RQ7rww5LgMlcXtV3xK3F8YMkupc1Cp48qNRVMhOTk5ibCwsALbw8LChKOjo16y3N3dxfbt2wts37Ztm3Bzc2NWCecIodx5YchxGSqL26/4lLi/MGSWUuegUseVG5/TVEjPnz+Hq6trge0uLi5ITU3VS9ajR48QEBBQYHtAQACePHnCrBLOAZQ7Lww5LkNlcfsVnxL3F4bMUuocVOq4dOi9DFO4Nm3aiJYtW4rHjx/naXv8+LFo1aqVaNu2rV6ymjZtKnr37i0yMjLytGVmZorevXuLoKAgZpVwjhDKnReGHJehsrj9ik+J+wtDZil1Dip1XLnxkQOFdO/ePbRp0waxsbEICAjQeaDW1atX4e/vj3379sHNza3YWVeuXEFISAgyMjIQFBSkkxUREQGNRoPDhw+jWrVqzCrhMSl1XhhyXIbK4vYzrTmoxCylzkGljis3Fk1FkJ2djUOHDuHMmTM6t1QGBgaiZcuWUKv1d9bz+fPn2Lx5c75Z3bt3h62tLbOMIAdQ7rww5LgMlcXtV3xK3F8YMkupc1Cp48rBoomIiIhIBl4ITkRERCQDi6Zi8PLywrvvvquzLDg4GJUqVdJ7VvPmzdG3b1+dZX369ME777zDLCPKAZQ7Lww5LkNlcfsVnxL3F4bMUuocVOq4+DUqxdCnTx84ODjoLHv//ff1dktlbp6ennBxcdFZVqFChTdyzlaJWYYck1LnhSHHZagsbr/iU+L+wpBZSp2DSh0Xr2kiIiIikoGn54iIiIhk4Om5IoiJicHSpUsRGRmZ5zbHESNGwN/fX29ZT548wbp16/JkNWrUCH379s1zSJJZJZMDKHdeGHJchsri9is+Je4vDJml1Dmo1HHl4Om5Qjp48CA6duyI2rVrIyQkROeBWuHh4YiKisKPP/6IkJCQYmedP38eISEhsLa2RnBwsE7W0aNH8fLlSxw6dAh169ZlVgmPSanzwpDjMlQWt59pzUElZil1Dip1XDr0/oxxhatevbqYMmVKge1Tp04VAQEBeslq0KCBGDx4sMjOzs7Tlp2dLQYPHiwaNmzIrBLOEUK588KQ4zJUFrdf8Slxf2HILKXOQaWOKzcWTYWk1WpFbGxsge2xsbFCq9XqLev69esFtl+/fp1ZRpCTk6XUeWHIcRkii9tPP1lK218YMkvJc1CJ48qNF4IXkqenJ/bv319g+/79++Hh4aGXLGdnZ5w7d67A9nPnzkmHJJlVcjmAcueFIcdlqCxuv+JT4v7CkFlKnYNKHVduvBC8kGbMmIHu3bvjxIkT+Z6zDQsLw9atW/WS9cknn2Dw4MGIiopCixYt8mStWbMGX375JbNKOAdQ7rww5LgMlcXtV3xK3F8YMkupc1Cp49Kh92NX/wKnTp0SH330kXB3dxcajUZoNBrh7u4uPvroI3H69Gm9Zm3btk00aNBAmJubC5VKJVQqlTA3NxcNGjQQ27dvZ5aR5Aih3HlhyHEZKovbr/iUuL8wZJZS56BSx5WDd8+ZiIyMDOnppuXLl4eFhQWzjDDH0JQ6LkPh9is+Je4vDJml1Dmo1HGxaCqG5ORknWdD2NnZvdG8tLQ0AIClpeUbzVFqlqFylDovDDkuQ2Zx+xWfEvcXhsxS4hwEFDquN3L8SuHWrFkj/Pz8hFqtFmq1WqhUKqFWq4Wfn59Yu3atXrMOHz4sWrduLezt7aU8e3t70bp1axEeHs4sI8kRQrnzwpDjMlQWt1/xKXF/Ycgspc5BpY4rB4umQpo3b56wtrYWEydOFMePHxcxMTEiJiZGHD9+XEyaNEmUKlVKfPHFF3rJ2rBhgzA3Nxddu3YV69evFwcOHBAHDhwQ69evF926dRMWFhZi06ZNzCrhHCGUOy8MOS5DZXH7FZ8S9xeGzFLqHFTquHJj0VRI7u7ur72Ybdu2bcLNzU0vWT4+PmLp0qUFti9btkx4e3szq4RzhFDuvDDkuAyVxe1XfErcXxgyS6lzUKnjyo1FUyFptVoRExNTYHt0dLSwsrLSS5alpaXBHt6lxCxDjkmp88KQ4zJUFrdf8Slxf2HILKXOQaWOKzc+3LKQ6tWrhzlz5iAzMzNPW1ZWFubOnYt69erpJatq1ar4+uuvC2xft26d3r6QUIlZhhyTUueFIcdlqCxuv+JT4v7CkFlKnYNKHVduvHuukK5cuYKQkBBkZGQgKChI54FaERER0Gg0OHz4MKpVq1bsrBMnTqBdu3aoVKlSvg/vun37Nvbv34+goCBmlfCYlDovDDkuQ2Vx+5nWHFRillLnoFLHlRuLpiJ4/vw5Nm/ejDNnzujc5hgYGIju3bvD1tZWb1nx8fFYsWJFvllDhgyBp6cns4wgB1DuvDDkuAyVxe1XfErcXxgyS6lzUKnjysGiiYiIiEgGXtNEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1kNOLi4vJ95oYpU9p4cuM9JPRvwX2TaXmT+yYWTXp269YtvPPOO3r7vIcPH2Lz5s04cOAA0tPTddpSU1MxY8YMvWWFh4dj6tSpOHbsGAAgIiICrVu3xjvvvIP169frLacgVapUwc2bN9/Y5z948ABTp05Fjx498MknnyA2NlZvnx0WFoarV68CALKzszFz5kxUqFABlpaWqFixIubMmaO3/5Hbt2+Pb775Bn/++adePu910tLS8MknnyAoKAhz584FAMyaNQs2NjYoXbo0unfvjpSUFL3lXb58Gb1790alSpVgZWWFUqVKISAgAFOmTNFrTkxMDIYNG4ZatWrBxcUFLi4uqFWrFoYNG4aYmBi95fwTfe8vDJnFfZP+cN9UeIbeN0n0/ozxf7lLly4JtVqtl886d+6csLe3F7a2tsLKykp4e3uLa9euSe0JCQl6y/rmm2+Eubm5qF27trCxsRHr168X9vb2YuDAgaJ///5Co9GInTt36iXr/fffz/elVqtFcHCw9L64rKysxKNHj4QQfz1S387OTnh7e4sPP/xQ+Pr6Cmtra3H58uVi5wghRJUqVURERIQQQojPP/9clCtXTixYsEAcPHhQLFq0SDg5OYk5c+boJUulUglzc3NhZ2cnhgwZIi5cuKCXz83PmDFjhKurq/jvf/8r/Pz8xLBhw4S7u7vYvHmz2Lp1q/D29hYjR47US1ZYWJiwsrISnTp1Ej179hTW1tZixIgRYsKECcLb21u89dZb4uHDh8XOOXDggNBoNKJhw4Zi6tSpYvny5WL58uVi6tSpolGjRsLS0lKEhYXpYUT/TJ/7C0Nmcd9UPNw3FZ8h90258TlNhbRkyZLXtt+/fx9ffvklsrKyip317rvvws3NDWvXrkVqaiomTJiAHTt2IDw8HLVq1UJiYiJcXV31klWrVi3069cPo0aNwtGjR9G+fXt89tlnGDNmDABg/vz52L17N06ePFnsLLVajaCgIHh5eeks37RpEzp06AB7e3sAKPZfkGq1GgkJCXB0dETHjh2RnZ2NXbt2wdzcHNnZ2ejRowdevHiBvXv3FisHALRaLX799Ve4u7sjICAAoaGh+PDDD6X2/fv3Y/To0Xr5a1WtVuPatWs4fPgw1q1bh+joaAQEBGDgwIHo0aMHypQpU+yMHO7u7li3bh2Cg4Nx+/Zt+Pj4YNeuXXjvvfcA/HUEYNCgQYiPjy92Vq1atfDxxx9jyJAh0mePGjUK169fR0ZGBlq3bg03N7diz4saNWrgvffeK/BIyLRp07Br1y5cuXKlWDmAYfcX3Ddx35Qf7pvi9ZYJgEeaCkulUglXV1fh6emZ78vV1VVvf2GVKVNG3LhxQ2fZ7NmzRZkyZcS5c+f0+tdcqVKlxO3bt6X3FhYWOn/pXL9+XZQrV04vWd9++62oWLGiWLdunc5yc3NzER0drZcMIf76XSUmJgohhHBzc5P+2spx8eJF4eLiopcsFxcXERkZKYQQwsnJSVy8eFGn/ddff9Xbl0fmHpcQQpw9e1YMHjxY2NnZCSsrK9GtWzdx9OhRvWRZWVmJO3fuSO8tLCx0jijExcUJa2trvWRptVoRFxcnvc/OzhYWFhbiwYMHQgghIiIihIODg15yDPWloobcX3DfVHzcNxWPUvdNubFoKiRPT0+xffv2Att/+eUXve6Y8jtE+8UXXwh7e3uxa9cuvWXZ29vr/ENiY2Mjbt26Jb2/ffu2XidgXFycaNy4sfjggw/E06dPhRD63zGp1WrpELiHh0eebXn79m29/eM4bNgw0a5dO5GZmSkGDx4sBg4cKLKzs6X2kSNHisDAQL1k/X3HlCM1NVWsX79eNGnSRG/zokqVKmLbtm1CiL9OyWg0Gp1/ULZt2yZ8fHz0kvXWW2/pnBa7efOmMDMzE2lpaUKIv35f+ti5+/r6ivnz5xfYPn/+fFGlSpVi5whh2P0F9036wX1T0Sl135Qbi6ZC6tSpkxg/fnyB7ZcuXRIqlUovWU2bNhUrVqzIt23u3LnC0tJSbxOwbt264ocffpDeJycn6/yPFR4eLipXrqyXrBxZWVkiNDRUuLm5ibCwMGFhYaH3v+bs7e1FmTJlhIWFhfjmm2902g8fPiw8PT31kpWUlCTq1q0rvL29Ra9evYRWqxUeHh7i3XffFV5eXsLOzk6cOXNGL1kF7Zhy+/tRgKJauHCh0Gq1Ijg4WJQpU0YsWbJEODs7i/Hjx4uJEycKOzs7MWPGDL1kTZ8+XVSsWFGsWLFCrFu3TlSrVk3n+pFdu3YJf3//Yufs2LFDmJubi/bt24vFixeLbdu2iW3btonFixeLDh06CI1GI7777rti5whh2P0F9036w31T0Sh135Qbi6ZCio6OFufPny+wPT09XcTHx+sla82aNaJnz54Fts+ZM0dv/2Pt2rVL/PTTTwW2z549W0yePFkvWX/3888/Cy8vL6FWq/W6Y9qwYYPOK+cQdY4ZM2aIMWPG6C0vPT1drFixQrRp00b4+vqKypUri7ffflv873//E/fu3dNbTrNmzcSzZ8/09nn/ZMuWLWLEiBFi69atQgghjh8/Lpo2bSrq1Kkjpk2bJrKysvSSk5GRIcaPHy9cXV1FuXLlRPfu3cXjx4+l9rNnz752jhbGqVOnxEcffSTc3d2FRqMRGo1GuLu7i48++kicPn1aLxlCGHZ/wX2T/nHfVDhK3TflxgvBySi8ePECt27dgp+fHzQaTUl3h4gIwP/tm3x9fWFpaVnS3aESxqKJiAh/PRAvOzsbZmZmJp+VnJyMhIQEAICzszPs7OzeSA6zTCeHWXqi92NX/wL79+8XAwYMEOPGjRPXr1/XaXv69Klo3rw5swqRFRMT88aylDimv2dxXhRORkaG+PTTT0VQUJAIDQ0VQggxb948YW1tLTQajejdu7d08bkpZQnx12kzPz8/oVardV5+fn5i7dq1esv5N2WpVKo3kqXEMeWXpZR5kYNFUyFt2bJFmJmZibZt24omTZoIrVYrNm/eLLXr81ZbZplGDrNMK2vy5MnCyclJjB07Vvj7+4shQ4YINzc3sXnzZrFx40ZRoUIFMXfu3GLnGDorpxibOHGiOH78uIiJiRExMTHi+PHjYtKkSaJUqVLiiy++YJYRZClxTErOyo1FUyHVrFlTLF68WHq/fft2UapUKamq1ec/IswyjRxmmVZWpUqVxN69e4UQfz3WQK1WS7cu5+RWq1at2DmGznJ3d3/tIwe2bdsm3NzcmGUEWUock5KzcmPRVEh/f9CaEEIcO3ZM2NjYiBUrVrzRh7oxyzhzmGVaWVqtVty9e1fnfe7Tjrdv3xalS5cudk5JZP39lGZu0dHRenuIIbNMI4dZ+snKjUVTIeV+umpuJ06cEDY2NuLTTz/V2z8izDKNHGaZVpaTk5O4cuWK9L5Ro0bi999/l95fv35d2NraFjvH0FlNmzYVvXv3FhkZGXnaMjMzRe/evUVQUBCzjCBLiWNSclZu5m/uEnNlql+/Pg4ePIiGDRvqLH/77bexd+9etGvXjllGkqXEMTGr+Pz9/XHx4kUEBAQAAE6dOqXTfvXqVfj4+Jhc1tKlSxESEgJnZ2cEBQXByckJAJCYmIiIiAhoNBocPnyYWUaQpcQxKTkrN7XeP1HhxowZA61Wm29bs2bNsHfvXvTu3ZtZRpClxDExq/hZK1euRFBQUIHtGRkZGD9+fLFzDJ1VvXp1/Prrr5g5cyZKly6N27dv4/bt2yhdujRmzZqF2NhYVKtWjVlGkKXEMSk5Kzc+p4mIiIhIBh5p0oO2bdvi4cOHzDKBLCWOiVmmk8MsZpV0DrOKh0WTHkRERODPP/9klglkKXFMzDKdHGYxq6RzmFU8LJqIiIiIZGDRpAceHh6wsLBglglkKXFMzDKdHGYxq6RzmFU8vBCciIiISAYeaSqi7OzsApffvXuXWUaUpcQxMct0cgydVZDU1FREREQwywSylDgmxWTp/XGZCpecnCw+/PBDodVqhaOjo5gyZYrIzMyU2vX5tRLMMo0cZplWlhLHJMelS5eYZSJZShyTUrL4RPBCmjJlCi5fvoxvvvkGSUlJmDVrFi5evIhdu3ZBo9EAAISezngyyzRymGVaWUocExEZiN7LMIVzd3cXx48fl94/fvxY1K9fX7Rs2VK8evVKr385Mss0cphlWllKHJMQQpQpU+a1L1tbW2YZSZYSx6TkrNx4IXghWVtbIzo6Gl5eXtKy58+fIyQkBFZWVli7di28vb2RlZXFrBLOUuKYmMV5UZBSpUph6NCh0vfc/d2dO3cwffp0ZhlBlhLHpOQsHXovwxSuSpUqYv/+/XmWP3/+XAQGBooaNWrorbpllmnkMMu0spQ4JiGEaNSokVi0aFGB7fq8xoNZppHDLP0faeLdc4XUsmVLrF+/Ps9yGxsbHDp0qMAvHGWW4bOUOCZmmU6OobPatm2LpKSkAtvLli2rty9XZpZp5DBLP1k69F6GKdzTp0/FtWvXCmxPSUkRJ06cYJYRZClxTMzivCCiksNrmoiIiIhk4CMH9CwxMRGrVq1CaGgos4w8S4ljYpbp5LyJrPT0dPzwww+IjIxEQkICAMDZ2RmNGjXCe++9Jz3mgFkln6XEMSk5KwePNOnZ5cuXUbt2bf1fsc8sk81hlmllmeqYfvvtN4SEhODBgwdo0KABnJycAPxVmJ09exYVK1bEwYMH4e3tzawSzlLimJSclRuPNBXSlStXXtt+48YNZhlJlhLHxCzTyTF0Vs7t17/88gtsbW112lJSUtC7d28MHz4chw4dYlYJZylxTErO0lGyl1SZHpVKJdRqtVCpVHleOcv1dZsjs0wjh1mmlaXEMQkhhJWVlbh69WqB7VeuXBFWVlbMMoIsJY5JyVm58UhTIZUtWxbz5s1DixYt8m2Pjo5G+/btmWUEWUocE7M4Lwpib2+P+Ph4VKtWLd/2+Ph42NvbM8sIspQ4JiVn5caiqZDq1KmDBw8ewMPDI9/2pKQkvX2XFLNMI4dZppWlxDEBwMCBA9G7d29MmTIFLVq00LnG4+jRo5g1axZGjhzJLCPIUuKYlJylQ+/HrhRu165d4ptvvimw/enTp2LDhg3MMoIsJY6JWZwXrzNnzhzh4uIinfbLOQXo4uIi5s6dq7ccZplODrP0i3fPEREpTFxcnM4t2Lm/+45ZxpWlxDEpOYtfo6IHp06dQlpaGrNMIEuJY2KW6eQYKsvLywuBgYHIzs6Gq6srs4w4S4ljUnIWT8/pQenSpcWtW7eYZQJZShwTs0wnh1nMKukcZhUPjzTpgTDgGU5mmUYOs0wrS4ljYpZpZSlxTErMYtFEREREJAOLJj1YtWqVdLsjs4w7S4ljYpbp5DCLWSWdw6zi4d1zREQKduLECTRo0ABWVlbMMvIsJY5JaVk80lQEa9euRZ8+fbB+/XoAwPbt2+Hn54dKlSph6tSpzDKiLCWOiVmmk2PorPy0bNkS8fHxbzyHWaaTw6yi4xPBC2nRokWYPHkyQkJC8Omnn+LBgwdYuHAhxowZg6ysLMyfPx8VKlTA4MGDmVXCWUocE7M4LwpSu3btfJdnZmaiU6dO0Gq1AICLFy8yq4SzlDgmJWflxqKpkFatWoXVq1eje/fu+OWXX1C/fn2sXLkSAwYMAABUqFABK1as0MtOkFnFy1LimJjFeVGQq1evIjg4GA0bNpSWCSFw+fJlNG/eHI6OjsXOYJZ+spQ4JiVn6XijDzRQICsrK3Hnzh3pvaWlpbh27Zr0/ubNm8Le3p5ZRpClxDExi/OiICdPnhRvvfWWCA0NFVlZWdJyc3NzER0drZcMZplWDrP0j9c0FZK1tTVSU1Ol9w4ODrCxsdFZJzMzk1lGkKXEMTGL86IgjRs3RlRUFH799Vc0atQIt27d0svnMst0c5ilfyyaCsnX1xdXrlyR3t+7d0/nG8xjY2Ph6enJLCPIUuKYmFX8LCWOKYednR2+/fZbfPzxx2jSpAlWr14NlUqlt89nlunlMEu/eE1TIc2dOxelSpUqsP3u3bv4+OOPmWUEWUocE7M4L+To168fmjRpgh49eujtSBazTDuHWfrB5zQRESlUdnY2nj9/Dltb2zf+FzizTCOHWcXDoomIiIhIBl7TVATLly9HcHAwunTpgqNHj+q0PXnyBJUqVWKWkWQpcUzMMp0cZjGrpHOYpV8smgppyZIlGDduHHx9fWFpaYk2bdpg9uzZUntWVhbu3LnDLCPIUuKYmMV5wSzTz1LimJScpeONPcxAofz9/cWWLVuk96dOnRIODg5iypQpQgghEhIShFqtZpYRZClxTMzivGCW6WcpcUxKzsqNRVMhWVlZibi4OJ1lV69eFU5OTmLixIl6/UUxyzRymGVaWUocE7NMK0uJY1JyVm585EAhlS9fHvfu3dN5tkq1atVw7NgxvPPOO3jw4AGzjCRLiWNilunkMItZJZ3DrDdA72WYwnXr1k2MHj0637Zr164JBwcHvVW3zDKNHGaZVpYSx8Qs08pS4piUnJUbi6ZCunz5sli3bl2B7VevXhXTpk1jlhFkKXFMzOK8YJbpZylxTErOyo3PaSIiIiKSgdc0FdG5c+cQGRmJhIQEAICzszMCAwNRv359ZhlZlhLHxCzTyWEWs0o6h1l6pPdjVwqXmJgoGjduLFQqlfDw8BD169cX9evXFx4eHkKlUokmTZqIxMREZhlBlhLHxCzOC2aZfpYSx6TkrNxYNBVSp06dRGBgoIiNjc3TFhsbKxo1aiQ6d+7MLCPIUuKYmMV5wSzTz1LimJSclRuLpkKysbERFy9eLLD9woULwsbGhllGkKXEMTGL84JZpp+lxDEpOSs3fo1KIVlaWiIlJaXA9ufPn8PS0pJZRpClxDExi/OCWaafpcQxKTlLh97LMIUbNmyY8PDwELt27RLJycnS8uTkZLFr1y7h6ekpRowYwSwjyFLimJjFecEs089S4piUnJUbi6ZCevXqlRgyZIjQaDRCrVYLrVYrtFqtUKvVQqPRiKFDh4pXr14xywiylDgmZnFeMMv0s5Q4JiVn5cbnNBVRSkoKoqKidG5zrFOnDmxtbZllZFlKHBOzTCeHWcwq6Rxm6Q+LJiIiIiIZeCF4Efz55584efIkYmJi8rS9evUKmzZtYpaRZClxTMwynRxmMaukc5ilZ3o/4adwN27ckB6epVarRVBQkLh//77UnpCQoLcvCWSWaeQwy7SylDgmZplWlhLHpOSs3HikqZAmTJiAatWq4dGjR7hx4wZKly6NJk2a4O7du8wysiwljolZppPDLGaVdA6z3gC9l2EK5+joKK5cuSK9z87OFkOGDBHu7u7i1q1beq1umWUaOcwyrSwljolZppWlxDEpOSs3Fk2FVLp0aRETE5Nn+fDhw0XFihVFRESE3n5RzDKNHGaZVpYSx8Qs08pS4piUnJUbi6ZCqlevnti0aVO+bcOHDxf29vZ6+0UxyzRymGVaWUocE7NMK0uJY1JyVm4smgrp888/F61bty6wfejQoUKlUjHLCLKUOCZmcV4wy/SzlDgmJWflxuc0EREREcnAu+eIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIjF7fvn3RsWPHEsvv1asXPv/88xLLL8iTJ0/g6OiI33//vaS7QvSvwLvniKhEqVSq17ZPnToVY8aMgRAC9vb2hulULpcvX8Y777yDO3fuwMbGBgDQrFkz/PTTTwAAjUaD8uXLo3bt2ujXrx8++OADg/bvk08+wbNnz/D1118bNJfo34hFExGVqISEBOm/t2/fjtDQUNy4cUNaZmNjIxUrJWHgwIEwNzfHypUrpWXNmjVD5cqVMWPGDGRmZuL333/H7t27sXDhQvTt2xerV682WP+io6NRp04dPHjwAGXLljVYLtG/EU/PEVGJcnZ2ll52dnZQqVQ6y2xsbPKcnmvWrBlGjhyJ0aNHo0yZMnBycsKaNWuQmpqKfv36oXTp0vD29sbBgwd1sq5du4bWrVvDxsYGTk5O6NWrF548eVJg37KysvDdd9+hffv2edqsra3h7OyMihUromHDhpg7dy5WrVqFNWvW4MiRI9J6EyZMQOXKlWFtbY1KlSphypQpyMjIAADEx8dDrVbjwoULOp+9aNEieHh4IDs7G8+ePUOPHj3g4OAAKysr+Pj4YP369dK6VatWhaurK3bv3l2o7U5EhceiiYhM0saNG1G+fHmcO3cOI0eOxNChQ/Hhhx+iUaNGuHjxIlq2bIlevXrh5cuXAICkpCS88847qFWrFi5cuICwsDAkJiaiS5cuBWZcuXIFycnJqFu3rqw+9enTB2XKlMGuXbukZaVLl8aGDRsQExODxYsXY82aNVi4cCEAwNPTE8HBwTpFEACsX78effv2hVqtxpQpUxATE4ODBw/i+vXrWLFiBcqXL6+zfv369fHzzz/L6iMRFR2LJiIySTVq1MDkyZPh4+ODSZMmQavVonz58hg0aBB8fHwQGhqKP/74A1euXAEALF26FLVq1cLnn38OX19f1KpVC+vWrcPx48fx66+/5ptx584dmJmZwdHRUVaf1Go1KleujPj4eGnZ5MmT0ahRI3h6eqJ9+/b45JNPsGPHDql94MCB+Pbbb5GWlgYAuHjxIq5evYp+/foBAO7evYtatWqhbt26UpH19yNfrq6uuHPnjuxtR0RFw6KJiExS9erVpf82MzNDuXLlEBAQIC1zcnICADx69AjAXxd0Hz9+XLpGysbGBr6+vgCAW7du5Zvx559/wtLS8h8vVs9NCKGz/vbt29G4cWPpVOPkyZNx9+5dqb1jx44wMzOTTq9t2LABzZs3h6enJwBg6NCh2LZtG2rWrInx48fj9OnTeTKtrKykI2pE9OawaCIik2RhYaHzXqVS6SzLKVyys7MBAC9evED79u1x6dIlndfNmzcRFBSUb0b58uXx8uVLpKeny+pTVlYWbt68CS8vLwBAZGQkevTogTZt2mDfvn345Zdf8Omnn+p8nkajQe/evbF+/Xqkp6dj69at6N+/v9TeunVr3LlzB2PGjMGDBw/QokULfPLJJzq5T58+hYODg6w+ElHRmZd0B4iIDKF27dr4/vvv4enpCXNzebu+mjVrAgBiYmKk/36djRs34tmzZ+jUqRMA4PTp0/Dw8MCnn34qrZPfabSBAweiWrVqWL58OTIzM/M8tsDBwQF9+vRBnz590LRpU4wbNw5ffvml1H7t2jU0a9ZM1piIqOh4pImI/hWGDx+Op0+folu3bjh//jxu3bqFQ4cOoV+/fsjKysr3ZxwcHFC7dm2cPHkyT9vLly+RkJCA33//HWfOnMGECRMwZMgQDB06FM2bNwcA+Pj44O7du9i2bRtu3bqFJUuW5HuXm5+fHxo2bIgJEyagW7dusLKyktpCQ0Px448/4rfffkN0dDT27dsHPz8/nX5ERUWhZcuWxd1ERPQPWDQR0b+Cq6srTp06haysLLRs2RIBAQEYPXo07O3toVYXvCscOHAgtmzZkmf5mjVr4OLigrfeegsffPABYmJisH37dixfvlxap0OHDhgzZgxGjBiBmjVr4vTp05gyZUq+OQMGDEB6errOqTngr9N3kyZNQvXq1REUFAQzMzNs27ZNav/xxx/h7u6Opk2bFnaTEFEh8eGWRESv8eeff6JKlSrYvn07AgMD31jOzJkzsXPnTuluP7kaNmyIUaNGoXv37m+oZ0SUg0eaiIhew8rKCps2bXrtQzCL48WLF7h27RqWLl2KkSNHFupnnzx5gg8++ADdunV7I30jIl080kREVIL69u2Lb7/9Fh07dsTWrVthZmZW0l0iogKwaCIiIiKSgafniIiIiGRg0UREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMLJqIiIiIZPh/LYbbWA2alJEAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for user in d_df['User First Name'].unique():\n",
" df_user_1 = d_df[d_df['User First Name'] == user]\n",
" df_user_1.plot(x ='Calendar Date (Local)', y='Steps', kind='bar'),\n",
" plt.ylim(ymin=0)\n",
" plt.xlim(xmin=0)\n",
" plt.ylabel(\"Steps\")\n",
" plt.xlabel(\"Time (Days)\")\n",
" plt.title(\"Total Steps per Day for User \" + user)\n",
" \n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "c35fc2c9-9daa-4f31-9ef3-18e9064bc365",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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GccSIEQgODs61z5v/jQtycuzFixfh6uoKBwcHAP/cVmLChAn47LPPMGXKFDg7O8PMzAxDhw7N8d+8Z8+emD17Nn777Td07doVmzZtQps2bXSOwBmTIeOgVqtzXAyQJesoUParEufMmYOQkBD8/vvv2LNnD7744gtMnz4dx48fR8mSJQ3+nr7Lf7OGDRsW2PeMTBMLIjI5Xl5e2Lt3b45forGxsdr2LHkdGfj555/Rq1cvzJkzR7vs5cuXSElJMUrmrHso5fVLNIuZmRmaNWuGZs2aYe7cuZg2bRrGjRuHAwcOICgoKM/Pc+HCBVy9ehVr165Fz549tcuzT8A1VNmyZbF79248evQoz6NEZcuWhRACPj4+KF++vMHb8PPzA/DPlTjZ79FUUO7cuYP09HS97lkF/HMk4U1Xr16Ft7c3AKBMmTIA/jmi8OaVccYWFRWFGzdu6Jzi+vnnn9GkSROsXr1ap29uRWClSpVQrVo1bNy4ESVLlkRiYiIWLVr0znm8vLxw/vx5aDQanaNEue2H77LuK1eu5NqWtfzN9QcEBCAgIADjx4/HsWPHUL9+fSxfvhxTp079199TIoCX3ZMJatWqFTIzM7F48WKd5fPmzYNKpULLli21y+zs7HItcszNzXMcTVi0aFGOy84Lwv79+zFlyhT4+PjkeTUPgFwvG8+6+eKrV68AQHsPmzc/U9Zfvdk/kxACCxYseOfcHTt2hBACkyZNytGWtZ2PPvoI5ubmmDRpUo7xFELg77//zncbgYGBAJDjMv6CEh0dDeD/r8R7m99++01nDtDJkydx4sQJ7XfK1dUVjRs3xooVK3Dv3r0cP//gwYMCSJ1TQkICQkJCYGVlhZEjR2qX5/Y93rp1a65zqYB/rnbcs2cP5s+fj2LFiunsK4Zq1aoVkpKSsGXLFu2yjIwMLFq0CPb29mjUqNG/Wvfx48e1//2ypKSkYOPGjahatar2Eva0tDRkZGTo9AsICICZmZl2v/m331MigEeIyAS1bdsWTZo0wbhx4xAfH48qVapgz549+P333zF06FCdc/c1atTA3r17MXfuXHh6esLHxwd16tRBmzZtsH79ejg6OsLf3x9RUVHYu3fvv75EdteuXYiNjUVGRgaSk5Oxf/9+REZGwsvLC9u3b8/35oOTJ0/G4cOH0bp1a3h5eeH+/ftYunQpSpYsiQYNGgD454iMk5MTli9fjiJFisDOzg516tSBn58fypYtixEjRuDOnTtwcHDAL7/8kuucGn01adIEPXr0wMKFC3Ht2jW0aNECGo0Gf/75J5o0aYLBgwejbNmymDp1KsaOHYv4+Hi0b98eRYoUQVxcHH799Vf069cPI0aMyHMbZcqUQaVKlbB371589tln75w1L5GRkShdurRel9wD/5zuatCgAQYMGIBXr15pC4fsz0RbsmQJGjRogICAAHz++ecoU6YMkpOTERUVhdu3b+vcA+hdnD59Ghs2bIBGo0FKSgpOnTqlneC+fv16nSNpbdq0weTJk9G7d2/Uq1cPFy5cwMaNG7VHst7UrVs3jBo1Cr/++isGDBjwr+Z49evXDytWrEBISAiio6Ph7e2Nn3/+GUePHsX8+fNzPQWqrzFjxmDr1q1o2LAh/ve//8HPzw93797FmjVrcO/ePYSFhWn77t+/H4MHD0bnzp1Rvnx5ZGRkYP369TA3N0fHjh0B4F9/TwvK4sWLkZKSgrt37wIA/vjjD9y+fRvAP6fxs05fJiQkaI8qZ/2xMHXqVAD/HBkz9qNTKA+Fe1EbUU65XXb65MkTMWzYMOHp6SksLS1FuXLlxOzZs7WXg2eJjY0VDRs2FDY2NgKA9hL8x48fi969e4vixYsLe3t7ERwcLGJjY4WXl5fOZfqGXnaf9bKyshLu7u7igw8+EAsWLNBegpzdm5fd79u3T3z44YfC09NTWFlZCU9PT9G1a1dx9epVnZ/7/fffhb+/v7CwsNC5dDcmJkYEBQUJe3t7Ubx4cfH555+Lc+fO5bi8t1evXsLOzu6teYQQIiMjQ8yePVv4+fkJKysr4eLiIlq2bCmio6N1+v3yyy+iQYMGws7OTtjZ2Qk/Pz8xaNAgceXKlXzHTQgh5s6dK+zt7XVuG5DXJehZ/z3evMQ6t9seZGZmCg8PDzF+/Pi3Zsi+vTlz5ohSpUoJtVot3n//fXHu3Lkc/W/cuCF69uwp3N3dhaWlpShRooRo06aN+Pnnn/PNpE+GrJeFhYVwdnYWderUEWPHjtW5dUKWly9fiq+++kp4eHgIGxsbUb9+fREVFSUaNWqU5+X0rVq1EgDEsWPH9MolRO6X3QshRHJysnY/srKyEgEBATkuJdfndgK5uX37tujbt68oUaKEdizatGkjjh8/rtPv5s2b4rPPPhNly5YV1tbWwtnZWTRp0kTs3bs3xzr1+Z42atRIvPfee3rnzNpv8rtdRhYvLy+d/8bZX3Fxcdp+Wd/z3F763CaBjEMlRC6zFImICkhqairKlCmDWbNmoU+fPgW23t9++w3dunXDjRs34OHhkW/f+Ph4+Pj4YPbs2YVypEBKHTp0wIULF3D9+nWpoxDJCucQEZFROTo6YtSoUZg9e3aBXuE3c+ZMDB48+K3FkJLcu3cP4eHhPOVC9A44h4iIjG706NEYPXp0ga4zKiqqQNcnZ3FxcTh69ChWrVoFS0tL/O9//5M6EpHs8AgREZHMHTp0CD169EBcXBzWrl2r90NGiej/cQ4RERERKR6PEBEREZHisSAiIiIixeOkaj1oNBrcvXsXRYoU0fshkkRERCQtIQSePHkCT0/Ptz5EmwWRHu7evZvj6dtEREQkD7du3ULJkiXz7cOCSA9Zt6i/deuW9inUREREZNrS0tJQqlQpvR41w4JID1mnyRwcHFgQERERyYw+0104qZqIiIgUjwURERERKR4LIiIiIlI8ziEiIiKTodFokJ6eLnUMkhErK6u3XlKvDxZERERkEtLT0xEXFweNRiN1FJIRMzMz+Pj4wMrK6l+thwURERFJTgiBe/fuwdzcHKVKlSqQv/jpvy/rxsn37t1D6dKl/9XNk1kQERGR5DIyMvD8+XN4enrC1tZW6jgkIy4uLrh79y4yMjJgaWn5zuthCU5ERJLLzMwEgH992oOUJ+s7k/UdelcsiIiIyGTweZFkqIL6zrAgIiIiIsVjQURERFQIVCoVfvvtN6ljFJoJEyagX79+/2odMTExKFmyJJ49e1ZAqfLGSdVERGSyvMeEF+r24me0Nqh/SEgI1q5dCwCwsLCAs7MzKleujK5duyIkJETnarl79+6haNGieq1XpVLh119/Rfv27Q3KYyqSkpKwYMECXLhw4V+tx9/fH3Xr1sXcuXMxYcKEAkqXOx4hIiIi+hdatGiBe/fuIT4+Hrt27UKTJk3w5Zdfok2bNsjIyND2c3d3h1qtljBp4Vm1ahXq1asHLy+vf72u3r17Y9myZTpjaQwsiIiIiP4FtVoNd3d3lChRAtWrV8fXX3+N33//Hbt27cKaNWu0/bKfMktPT8fgwYPh4eEBa2treHl5Yfr06QAAb29vAECHDh2gUqm072/cuIEPP/wQbm5usLe3R61atbB3716dLN7e3pg2bRo+++wzFClSBKVLl8b333+v0+f27dvo2rUrnJ2dYWdnh5o1a+LEiRPa9t9//x3Vq1eHtbU1ypQpg0mTJhlcjGzevBlt27bVWda4cWMMGTIEQ4cORdGiReHm5oaVK1fi2bNn6N27N4oUKQJfX1/s2rVL5+c++OADPHr0CIcOHTIog6FYEBERERWwpk2bokqVKti2bVuu7QsXLsT27dvx008/4cqVK9i4caO28Dl16hQAICwsDPfu3dO+f/r0KVq1aoV9+/bhzJkzaNGiBdq2bYvExESddc+ZMwc1a9bEmTNnMHDgQAwYMABXrlzRrqNRo0a4c+cOtm/fjnPnzmHUqFHau4P/+eef6NmzJ7788kvExMRgxYoVWLNmDb799lu9P/ujR48QExODmjVr5mhbu3YtihcvjpMnT2LIkCEYMGAAOnfujHr16uH06dNo3rw5evTogefPn2t/xsrKClWrVsWff/6pd4Z3wTlERAYw9nwGQ+cvEJHp8vPzw/nz53NtS0xMRLly5dCgQQOoVCqdU0suLi4AACcnJ7i7u2uXV6lSBVWqVNG+nzJlCn799Vds374dgwcP1i5v1aoVBg4cCAAYPXo05s2bhwMHDqBChQrYtGkTHjx4gFOnTsHZ2RkA4Ovrq/3ZSZMmYcyYMejVqxcAoEyZMpgyZQpGjRqFiRMn6vW5ExMTIYSAp6dnjrYqVapg/PjxAICxY8dixowZKF68OD7//HMAQGhoKJYtW4bz58+jbt262p/z9PREQkKCXtt/VyyIiIiIjEAIkec9ckJCQvDBBx+gQoUKaNGiBdq0aYPmzZvnu76nT5/im2++QXh4OO7du4eMjAy8ePEixxGiypUra/+tUqng7u6O+/fvAwDOnj2LatWqaYuhN507dw5Hjx7VOSKUmZmJly9f4vnz53rdRfzFixcAAGtr6xxt2bOZm5ujWLFiCAgI0C5zc3MDAG3eLDY2NjpHjYyBBREREZERXL58GT4+Prm2Va9eHXFxcdi1axf27t2Ljz/+GEFBQfj555/zXN+IESMQGRmJ7777Dr6+vrCxsUGnTp2Qnp6u0+/Nx1eoVCrtKTEbG5t8Mz99+hSTJk3CRx99lKMttwInN8WLFwcAPH78WHu0K79s2ZdlFZBvPuD30aNHKFu2rF7bf1csiIiIiArY/v37ceHCBQwbNizPPg4ODvjkk0/wySefoFOnTmjRogUePXoEZ2dnWFpa5ngUxdGjRxESEoIOHToA+Kd4iY+PNyhX5cqVsWrVKu123lS9enVcuXJF5zSaocqWLQsHBwfExMSgfPny77ye7C5evIhOnToVyLrywknVRERE/8KrV6+QlJSEO3fu4PTp05g2bRo+/PBDtGnTBj179sz1Z+bOnYsff/wRsbGxuHr1KrZu3Qp3d3c4OTkB+OdqsX379iEpKQmPHz8GAJQrVw7btm3D2bNnce7cOXTr1i3HkZS36dq1K9zd3dG+fXscPXoUN2/exC+//IKoqCgA/8zhWbduHSZNmoRLly7h8uXL2Lx5s3bejz7MzMwQFBSEI0eOGJQtL/Hx8bhz5w6CgoIKZH154REiIiIyWXK40CAiIgIeHh6wsLBA0aJFUaVKFSxcuBC9evXSuTFjdkWKFMGsWbNw7do1mJubo1atWti5c6e2/5w5czB8+HCsXLkSJUqUQHx8PObOnYvPPvsM9erVQ/HixTF69GikpaUZlNXKygp79uzBV199hVatWiEjIwP+/v5YsmQJACA4OBg7duzA5MmTMXPmTFhaWsLPzw99+/Y1aDt9+/bF559/jlmzZuU5Bvr68ccf0bx58wK5p1F+VEIIYdQt/AekpaXB0dERqampcHBwkDoOSYhXmREZx8uXLxEXFwcfHx+956qQ6RJCoE6dOhg2bBi6du36zutJT09HuXLlsGnTJtSvXz/XPvl9dwz5/c1TZkRERFSgVCoVvv/++399d+nExER8/fXXeRZDBYmnzIiIiKjAVa1aFVWrVv1X6/D19f1XE7wNwSNEREREpHgsiIiIiEjxWBAREZHJ4HU+ZKiC+s6wICIiIsmZm5sDQI67LhO9TdZ3Jus79K44qZqIiCRnYWEBW1tbPHjwAJaWlv/63jWkDBqNBg8ePICtrS0sLP5dScOCiIiIJKdSqeDh4YG4uDijP9Wc/lvMzMxQunTpPB+kqy8WREREZBKsrKxQrlw5njYjg1hZWRXIEUUWREREZDLMzMx4p2qSBE/SEhERkeKxICIiIiLFY0FEREREiseCiIiIiBRP0oIoMzMTEyZMgI+PD2xsbFC2bFlMmTJF566TQgiEhobCw8MDNjY2CAoKwrVr13TW8+jRI3Tv3h0ODg5wcnJCnz598PTpU50+58+fx/vvvw9ra2uUKlUKs2bNKpTPSERERKZP0oJo5syZWLZsGRYvXozLly9j5syZmDVrFhYtWqTtM2vWLCxcuBDLly/HiRMnYGdnh+DgYLx8+VLbp3v37rh06RIiIyOxY8cOHD58GP369dO2p6WloXnz5vDy8kJ0dDRmz56Nb775Bt9//32hfl4iIiIyTSoh4YNj2rRpAzc3N6xevVq7rGPHjrCxscGGDRsghICnpye++uorjBgxAgCQmpoKNzc3rFmzBl26dMHly5fh7++PU6dOoWbNmgCAiIgItGrVCrdv34anpyeWLVuGcePGISkpCVZWVgCAMWPG4LfffkNsbOxbc6alpcHR0RGpqalwcHAwwkiQXHiPCTfq+uNntDbq+omIlMSQ39+SHiGqV68e9u3bh6tXrwIAzp07hyNHjqBly5YAgLi4OCQlJSEoKEj7M46OjqhTpw6ioqIAAFFRUXByctIWQwAQFBQEMzMznDhxQtunYcOG2mIIAIKDg3HlyhU8fvw4R65Xr14hLS1N50VERET/XZLemHHMmDFIS0uDn58fzM3NkZmZiW+//Rbdu3cHACQlJQEA3NzcdH7Ozc1N25aUlARXV1eddgsLCzg7O+v08fHxybGOrLaiRYvqtE2fPh2TJk0qoE9JREREpk7SI0Q//fQTNm7ciE2bNuH06dNYu3YtvvvuO6xdu1bKWBg7dixSU1O1r1u3bkmah4iIiIxL0iNEI0eOxJgxY9ClSxcAQEBAABISEjB9+nT06tUL7u7uAIDk5GR4eHhofy45ORlVq1YFALi7u+P+/fs6683IyMCjR4+0P+/u7o7k5GSdPlnvs/pkp1aroVarC+ZDEhERkcmT9AjR8+fPczyQzdzcHBqNBgDg4+MDd3d37Nu3T9uelpaGEydOIDAwEAAQGBiIlJQUREdHa/vs378fGo0GderU0fY5fPgwXr9+re0TGRmJChUq5DhdRkRERMojaUHUtm1bfPvttwgPD0d8fDx+/fVXzJ07Fx06dAAAqFQqDB06FFOnTsX27dtx4cIF9OzZE56enmjfvj0AoGLFimjRogU+//xznDx5EkePHsXgwYPRpUsXeHp6AgC6desGKysr9OnTB5cuXcKWLVuwYMECDB8+XKqPTkRERCZE0lNmixYtwoQJEzBw4EDcv38fnp6e+N///ofQ0FBtn1GjRuHZs2fo168fUlJS0KBBA0REROg8DXnjxo0YPHgwmjVrBjMzM3Ts2BELFy7Utjs6OmLPnj0YNGgQatSogeLFiyM0NFTnXkVERESkXJLeh0gueB8iysL7EBERyYds7kNEREREZApYEBEREZHisSAiIiIixWNBRERERIrHgoiIiIgUjwURERERKR4LIiIiIlI8FkRERESkeCyIiIiISPFYEBEREZHisSAiIiIixZP04a707oz5TC0+T4uIiJSGR4iIiIhI8VgQERERkeKxICIiIiLFY0FEREREiseCiIiIiBSPBREREREpHgsiIiIiUjwWRERERKR4LIiIiIhI8VgQERERkeKxICIiIiLFY0FEREREiseCiIiIiBSPBREREREpHgsiIiIiUjwWRERERKR4LIiIiIhI8VgQERERkeKxICIiIiLFY0FEREREiseCiIiIiBSPBREREREpHgsiIiIiUjwWRERERKR4LIiIiIhI8VgQERERkeKxICIiIiLFY0FEREREiseCiIiIiBSPBREREREpHgsiIiIiUjwWRERERKR4LIiIiIhI8VgQERERkeKxICIiIiLFY0FEREREiseCiIiIiBSPBREREREpHgsiIiIiUjwWRERERKR4LIiIiIhI8VgQERERkeKxICIiIiLFY0FEREREiseCiIiIiBSPBREREREpHgsiIiIiUjwWRERERKR4LIiIiIhI8VgQERERkeKxICIiIiLFY0FEREREiseCiIiIiBSPBREREREpHgsiIiIiUjwWRERERKR4LIiIiIhI8VgQERERkeJJXhDduXMHn376KYoVKwYbGxsEBATgr7/+0rYLIRAaGgoPDw/Y2NggKCgI165d01nHo0eP0L17dzg4OMDJyQl9+vTB06dPdfqcP38e77//PqytrVGqVCnMmjWrUD4fERERmT5JC6LHjx+jfv36sLS0xK5duxATE4M5c+agaNGi2j6zZs3CwoULsXz5cpw4cQJ2dnYIDg7Gy5cvtX26d++OS5cuITIyEjt27MDhw4fRr18/bXtaWhqaN28OLy8vREdHY/bs2fjmm2/w/fffF+rnJSIiItNkIeXGZ86ciVKlSiEsLEy7zMfHR/tvIQTmz5+P8ePH48MPPwQArFu3Dm5ubvjtt9/QpUsXXL58GRERETh16hRq1qwJAFi0aBFatWqF7777Dp6enti4cSPS09Pxww8/wMrKCu+99x7Onj2LuXPn6hROREREpEySHiHavn07atasic6dO8PV1RXVqlXDypUrte1xcXFISkpCUFCQdpmjoyPq1KmDqKgoAEBUVBScnJy0xRAABAUFwczMDCdOnND2adiwIaysrLR9goODceXKFTx+/NjYH5OIiIhMnKQF0c2bN7Fs2TKUK1cOu3fvxoABA/DFF19g7dq1AICkpCQAgJubm87Pubm5aduSkpLg6uqq025hYQFnZ2edPrmtI/s2snv16hXS0tJ0XkRERPTfJekpM41Gg5o1a2LatGkAgGrVquHixYtYvnw5evXqJVmu6dOnY9KkSZJtn4iIiAqXpEeIPDw84O/vr7OsYsWKSExMBAC4u7sDAJKTk3X6JCcna9vc3d1x//59nfaMjAw8evRIp09u68i+jezGjh2L1NRU7evWrVvv+hGJiIhIBiQtiOrXr48rV67oLLt69Sq8vLwA/DPB2t3dHfv27dO2p6Wl4cSJEwgMDAQABAYGIiUlBdHR0do++/fvh0ajQZ06dbR9Dh8+jNevX2v7REZGokKFCjpXtGVRq9VwcHDQeREREdF/l6QF0bBhw3D8+HFMmzYN169fx6ZNm/D9999j0KBBAACVSoWhQ4di6tSp2L59Oy5cuICePXvC09MT7du3B/DPEaUWLVrg888/x8mTJ3H06FEMHjwYXbp0gaenJwCgW7dusLKyQp8+fXDp0iVs2bIFCxYswPDhw6X66ERERGRCJJ1DVKtWLfz6668YO3YsJk+eDB8fH8yfPx/du3fX9hk1ahSePXuGfv36ISUlBQ0aNEBERASsra21fTZu3IjBgwejWbNmMDMzQ8eOHbFw4UJtu6OjI/bs2YNBgwahRo0aKF68OEJDQ3nJPREREQEAVEIIIXUIU5eWlgZHR0ekpqaazOkz7zHhRlt3/IzWRlu33Blz3AGOPRFRQTLk97fkj+4gIiIikhoLIiIiIlI8FkRERESkeCyIiIiISPFYEBEREZHisSAiIiIixWNBRERERIrHgoiIiIgUjwURERERKR4LIiIiIlI8FkRERESkeO/0cNfExEQkJCTg+fPncHFxwXvvvQe1Wl3Q2YiIiIgKhd4FUXx8PJYtW4bNmzfj9u3byP5MWCsrK7z//vvo168fOnbsCDMzHngiIiIi+dCrcvniiy9QpUoVxMXFYerUqYiJiUFqairS09ORlJSEnTt3okGDBggNDUXlypVx6tQpY+cmIiIiKjB6HSGys7PDzZs3UaxYsRxtrq6uaNq0KZo2bYqJEyciIiICt27dQq1atQo8LBEREZEx6FUQTZ8+Xe8VtmjR4p3DEBEREUmBk32IiIhI8Qy+yuzvv/9GaGgoDhw4gPv370Oj0ei0P3r0qMDCERERERUGgwuiHj164Pr16+jTpw/c3NygUqmMkYuIiIio0BhcEP355584cuQIqlSpYow8RERERIXO4ILIz88PL168MEYWIqI8eY8JN9q642e0Ntq6iUgeDJ5UvXTpUowbNw6HDh3C33//jbS0NJ0XERERkdwYfITIyckJaWlpaNq0qc5yIQRUKhUyMzMLLJypqTRxN8zUtnr15V+cRERE8mFwQdS9e3dYWlpi06ZNnFRNRERE/wkGF0QXL17EmTNnUKFCBWPkISIiIip0Bs8hqlmzJm7dumWMLERERESSMPgI0ZAhQ/Dll19i5MiRCAgIgKWlpU575cqVCywcERERUWEwuCD65JNPAACfffaZdplKpVLEpGoiIiL6bzK4IIqLizNGDiIiIiLJGFwQeXl5GSMHERERkWT0mlR9/PhxvVf4/PlzXLp06Z0DERERERU2vQqiHj16IDg4GFu3bsWzZ89y7RMTE4Ovv/4aZcuWRXR0dIGGJCIiIjImvU6ZxcTEYNmyZRg/fjy6deuG8uXLw9PTE9bW1nj8+DFiY2Px9OlTdOjQAXv27EFAQICxcxMREREVGL0KIktLS3zxxRf44osv8Ndff+HIkSNISEjAixcvUKVKFQwbNgxNmjSBs7OzsfMSEREpAh9oXLgMnlRds2ZN1KxZ0xhZiIiIiCRh8J2qiYiIiP5rWBARERGR4hl8yoyIiJTDmPNYAM5lIdPBI0RERESkeP+qIHr58mVB5SAiIiKSjMEFkUajwZQpU1CiRAnY29vj5s2bAIAJEyZg9erVBR6QiIiIyNgMLoimTp2KNWvWYNasWbCystIur1SpElatWlWg4YiIiIgKg8EF0bp16/D999+je/fuMDc31y6vUqUKYmNjCzQcERERUWEwuCC6c+cOfH19cyzXaDR4/fp1gYQiIiIiKkwGF0T+/v74888/cyz/+eefUa1atQIJRURERFSYDL4PUWhoKHr16oU7d+5Ao9Fg27ZtuHLlCtatW4cdO3YYIyMRERGRURl8hOjDDz/EH3/8gb1798LOzg6hoaG4fPky/vjjD3zwwQfGyEhERERkVO90p+r3338fkZGRBZ2FiIiISBIGHyE6deoUTpw4kWP5iRMn8NdffxVIKCIiIqLCZHBBNGjQINy6dSvH8jt37mDQoEEFEoqIiIioMBlcEMXExKB69eo5llerVg0xMTEFEoqIiIioMBlcEKnVaiQnJ+dYfu/ePVhYvNOUJCIiIiJJGVwQNW/eHGPHjkVqaqp2WUpKCr7++mteZUZERESyZPAhne+++w4NGzaEl5eX9kaMZ8+ehZubG9avX1/gAYmIiIiMzeCCqESJEjh//jw2btyIc+fOwcbGBr1790bXrl1haWlpjIxERERERvVOk37s7OzQr1+/gs5CREREJIl3KoiuXbuGAwcO4P79+9BoNDptoaGhBRKMiIiIqLAYXBCtXLkSAwYMQPHixeHu7g6VSqVtU6lULIiIiIhIdgwuiKZOnYpvv/0Wo0ePNkYeIiIiokJncEH0+PFjdO7c2RhZiIiICoz3mHCjrj9+Rmujrp8Kl8H3IercuTP27NljjCxEREREkjD4CJGvry8mTJiA48ePIyAgIMel9l988UWBhSMiIiIqDAYXRN9//z3s7e1x6NAhHDp0SKdNpVKxICIiIiLZMbggiouLM0YOIiIiIsnwaaxU6DjRkYiITM07FUS3b9/G9u3bkZiYiPT0dJ22uXPnFkgwIiIiosJicEG0b98+tGvXDmXKlEFsbCwqVaqE+Ph4CCFQvXp1Y2QkIiIiMiqDL7sfO3YsRowYgQsXLsDa2hq//PILbt26hUaNGvH+RERERCRLBhdEly9fRs+ePQEAFhYWePHiBezt7TF58mTMnDmzwAMSERERGZvBBZGdnZ123pCHhwdu3LihbXv48GHBJSMiIiIqJAbPIapbty6OHDmCihUrolWrVvjqq69w4cIFbNu2DXXr1jVGRiIiIiKjMvgI0dy5c1GnTh0AwKRJk9CsWTNs2bIF3t7eWL169TsHmTFjBlQqFYYOHapd9vLlSwwaNAjFihWDvb09OnbsiOTkZJ2fS0xMROvWrWFrawtXV1eMHDkSGRkZOn0OHjyI6tWrQ61Ww9fXF2vWrHnnnERERPTfY/ARojJlymj/bWdnh+XLl//rEKdOncKKFStQuXJlneXDhg1DeHg4tm7dCkdHRwwePBgfffQRjh49CgDIzMxE69at4e7ujmPHjuHevXvo2bMnLC0tMW3aNAD/3EiydevW6N+/PzZu3Ih9+/ahb9++8PDwQHBw8L/OTkRERPJn8BGiMmXK4O+//86xPCUlRadY0tfTp0/RvXt3rFy5EkWLFtUuT01NxerVqzF37lw0bdoUNWrUQFhYGI4dO4bjx48DAPbs2YOYmBhs2LABVatWRcuWLTFlyhQsWbJEO89p+fLl8PHxwZw5c1CxYkUMHjwYnTp1wrx58wzOSkRERP9NBhdE8fHxyMzMzLH81atXuHPnjsEBBg0ahNatWyMoKEhneXR0NF6/fq2z3M/PD6VLl0ZUVBQAICoqCgEBAXBzc9P2CQ4ORlpaGi5duqTt8+a6g4ODtevIzatXr5CWlqbzIiIiov8uvU+Zbd++Xfvv3bt3w9HRUfs+MzMT+/btg7e3t0Eb37x5M06fPo1Tp07laEtKSoKVlRWcnJx0lru5uSEpKUnbJ3sxlNWe1ZZfn7S0NLx48QI2NjY5tj19+nRMmjTJoM9CRERE8qV3QdS+fXsA/zzRvlevXjptlpaW8Pb2xpw5c/Te8K1bt/Dll18iMjIS1tbWev9cYRg7diyGDx+ufZ+WloZSpUpJmIiIiIiMSe+CSKPRAAB8fHxw6tQpFC9e/F9tODo6Gvfv39d53EdmZiYOHz6MxYsXY/fu3UhPT0dKSorOUaLk5GS4u7sDANzd3XHy5Emd9WZdhZa9z5tXpiUnJ8PBwSHXo0MAoFaroVar/9XnIyIiIvkweA5RXFxcjmIoJSXF4A03a9YMFy5cwNmzZ7WvmjVronv37tp/W1paYt++fdqfuXLlChITExEYGAgACAwMxIULF3D//n1tn8jISDg4OMDf31/bJ/s6svpkrYOIiIjI4IJo5syZ2LJli/Z9586d4ezsjBIlSuDcuXN6r6dIkSKoVKmSzsvOzg7FihVDpUqV4OjoiD59+mD48OE4cOAAoqOj0bt3bwQGBmpvANm8eXP4+/ujR48eOHfuHHbv3o3x48dj0KBB2iM8/fv3x82bNzFq1CjExsZi6dKl+OmnnzBs2DBDPzoRERH9RxlcEC1fvlw7nyYyMhJ79+5FREQEWrZsiZEjRxZouHnz5qFNmzbo2LEjGjZsCHd3d2zbtk3bbm5ujh07dsDc3ByBgYH49NNP0bNnT0yePFnbx8fHB+Hh4YiMjESVKlUwZ84crFq1ivcgIiIiIi2Db8yYlJSkLYh27NiBjz/+GM2bN4e3t7f2Dtbv6uDBgzrvra2tsWTJEixZsiTPn/Hy8sLOnTvzXW/jxo1x5syZf5WNiIiI/rsMPkJUtGhR3Lp1CwAQERGhvcePECLX+xMRERERmTqDjxB99NFH6NatG8qVK4e///4bLVu2BACcOXMGvr6+BR6QiIiIyNgMLojmzZsHb29v3Lp1C7NmzYK9vT0A4N69exg4cGCBByQiIiIyNoMLIktLS4wYMSLHcl61RURERHKlV0G0fft2tGzZEpaWljqP8MhNu3btCiQYERERUWHRqyBq3749kpKS4Orqqn2ER25UKhUnVhMREZHs6FUQZT22481/ExEREf0XGHzZPREREdF/jUGTqjUaDdasWYNt27YhPj4eKpUKPj4+6NSpE3r06AGVSmWsnERERERGo/cRIiEE2rVrh759++LOnTsICAjAe++9h4SEBISEhKBDhw7GzElERERkNHofIVqzZg0OHz6Mffv2oUmTJjpt+/fvR/v27bFu3Tr07NmzwEMSERERGZPeR4h+/PFHfP311zmKIQBo2rQpxowZg40bNxZoOCIiIqLCoHdBdP78ebRo0SLP9pYtW+LcuXMFEoqIiIioMOldED169Ahubm55tru5ueHx48cFEoqIiIioMOldEGVmZsLCIu8pR+bm5sjIyCiQUERERESFSe9J1UIIhISEQK1W59r+6tWrAgtFREREVJj0Loh69er11j68woyIiIjkSO+CKCwszJg5iIiIiCTDR3cQERGR4rEgIiIiIsVjQURERESKx4KIiIiIFI8FERERESkeCyIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsVjQURERESKx4KIiIiIFI8FERERESkeCyIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsVjQURERESKx4KIiIiIFI8FERERESkeCyIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsVjQURERESKx4KIiIiIFI8FERERESkeCyIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsVjQURERESKx4KIiIiIFM9C6gBERP913mPCjbr++Bmtjbp+IiXgESIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsVjQURERESKx4KIiIiIFI8FERERESkeCyIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsVjQURERESKx4KIiIiIFI8FERERESmepAXR9OnTUatWLRQpUgSurq5o3749rly5otPn5cuXGDRoEIoVKwZ7e3t07NgRycnJOn0SExPRunVr2NrawtXVFSNHjkRGRoZOn4MHD6J69epQq9Xw9fXFmjVrjP3xiIiISCYkLYgOHTqEQYMG4fjx44iMjMTr16/RvHlzPHv2TNtn2LBh+OOPP7B161YcOnQId+/exUcffaRtz8zMROvWrZGeno5jx45h7dq1WLNmDUJDQ7V94uLi0Lp1azRp0gRnz57F0KFD0bdvX+zevbtQPy8RERGZJgspNx4REaHzfs2aNXB1dUV0dDQaNmyI1NRUrF69Gps2bULTpk0BAGFhYahYsSKOHz+OunXrYs+ePYiJicHevXvh5uaGqlWrYsqUKRg9ejS++eYbWFlZYfny5fDx8cGcOXMAABUrVsSRI0cwb948BAcHF/rnJiIiItNiUnOIUlNTAQDOzs4AgOjoaLx+/RpBQUHaPn5+fihdujSioqIAAFFRUQgICICbm5u2T3BwMNLS0nDp0iVtn+zryOqTtY43vXr1CmlpaTovIiIi+u8ymYJIo9Fg6NChqF+/PipVqgQASEpKgpWVFZycnHT6urm5ISkpSdsnezGU1Z7Vll+ftLQ0vHjxIkeW6dOnw9HRUfsqVapUgXxGIiIiMk0mUxANGjQIFy9exObNm6WOgrFjxyI1NVX7unXrltSRiIiIyIgknUOUZfDgwdixYwcOHz6MkiVLape7u7sjPT0dKSkpOkeJkpOT4e7uru1z8uRJnfVlXYWWvc+bV6YlJyfDwcEBNjY2OfKo1Wqo1eoC+WxERERk+iQ9QiSEwODBg/Hrr79i//798PHx0WmvUaMGLC0tsW/fPu2yK1euIDExEYGBgQCAwMBAXLhwAffv39f2iYyMhIODA/z9/bV9sq8jq0/WOoiIiEjZJD1CNGjQIGzatAm///47ihQpop3z4+joCBsbGzg6OqJPnz4YPnw4nJ2d4eDggCFDhiAwMBB169YFADRv3hz+/v7o0aMHZs2ahaSkJIwfPx6DBg3SHuXp378/Fi9ejFGjRuGzzz7D/v378dNPPyE8PFyyz05ERESmQ9IjRMuWLUNqaioaN24MDw8P7WvLli3aPvPmzUObNm3QsWNHNGzYEO7u7ti2bZu23dzcHDt27IC5uTkCAwPx6aefomfPnpg8ebK2j4+PD8LDwxEZGYkqVapgzpw5WLVqFS+5JyIiIgASHyESQry1j7W1NZYsWYIlS5bk2cfLyws7d+7Mdz2NGzfGmTNnDM5IRERE/30mc5UZERERkVRYEBEREZHisSAiIiIixWNBRERERIrHgoiIiIgUjwURERERKR4LIiIiIlI8FkRERESkeCyIiIiISPFYEBEREZHisSAiIiIixWNBRERERIrHgoiIiIgUjwURERERKR4LIiIiIlI8FkRERESkeCyIiIiISPFYEBEREZHisSAiIiIixWNBRERERIrHgoiIiIgUjwURERERKR4LIiIiIlI8FkRERESkeCyIiIiISPFYEBEREZHisSAiIiIixWNBRERERIpnIXUAIiIi+m/xHhNu1PXHz2hd4OvkESIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsVjQURERESKx4KIiIiIFI8FERERESkeCyIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsVjQURERESKx4KIiIiIFI8FERERESkeCyIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsVjQURERESKx4KIiIiIFI8FERERESkeCyIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsVjQURERESKx4KIiIiIFI8FERERESkeCyIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsVjQURERESKx4KIiIiIFI8FERERESkeCyIiIiJSPEUVREuWLIG3tzesra1Rp04dnDx5UupIREREZAIUUxBt2bIFw4cPx8SJE3H69GlUqVIFwcHBuH//vtTRiIiISGKKKYjmzp2Lzz//HL1794a/vz+WL18OW1tb/PDDD1JHIyIiIokpoiBKT09HdHQ0goKCtMvMzMwQFBSEqKgoCZMRERGRKbCQOkBhePjwITIzM+Hm5qaz3M3NDbGxsTn6v3r1Cq9evdK+T01NBQBoXj3Xe5tpaWnvmFY/hmQxlJyzA8bNL+fscsfvfN74nc+dnLMD/M7nR9/8Wf2EEG/vLBTgzp07AoA4duyYzvKRI0eK2rVr5+g/ceJEAYAvvvjiiy+++PoPvG7duvXWWkERR4iKFy8Oc3NzJCcn6yxPTk6Gu7t7jv5jx47F8OHDte9TUlLg5eWFxMREODo6Gj1vQUtLS0OpUqVw69YtODg4SB3HIMwuDTlnB+Sdn9mlIefsgLzzGzO7EAJPnjyBp6fnW/sqoiCysrJCjRo1sG/fPrRv3x4AoNFosG/fPgwePDhHf7VaDbVanWO5o6Oj7L5o2Tk4OMg2P7NLQ87ZAXnnZ3ZpyDk7IO/8xsqu74EMRRREADB8+HD06tULNWvWRO3atTF//nw8e/YMvXv3ljoaERERSUwxBdEnn3yCBw8eIDQ0FElJSahatSoiIiJyTLQmIiIi5VFMQQQAgwcPzvUU2duo1WpMnDgx19NociDn/MwuDTlnB+Sdn9mlIefsgLzzm0p2lRD6XItGRERE9N+liBszEhEREeWHBREREREpHgsiIiIiUjwWRERERKR4irrKzBCpqalISkoCALi7u8vuDtVyz5/1LDmprzowFMddWnLOz+yFT+77K8CxL0g8QvSGVatWwd/fH87OzvD399f59+rVq6WO91Zyzh8ZGYlWrVqhaNGisLW1ha2tLYoWLYpWrVph7969UsfLF8ddOnLOz+zSkPP+CnDsjaZgHp/63zBr1ixha2srxowZIw4cOCBiYmJETEyMOHDggBg7dqyws7MTs2fPljpmnuScf82aNcLCwkJ06dJFhIWFiZ07d4qdO3eKsLAw0bVrV2FpaSnWrVsndcxccdylI+f8zC4NOe+vQnDsjYkFUTalS5cWW7ZsybN98+bNolSpUoWYyDByzl+uXDmxePHiPNuXLFkifH19CzGR/jju0pFzfmaXhpz3VyE49sbEgigba2trERMTk2f7pUuXhI2NTSEmMoyc86vVahEbG5tne2xsrLC2ti7ERPrjuEtHzvmZXRpy3l+F4NgbE+cQZVOrVi3MmDEDGRkZOdoyMzMxc+ZM1KpVS4Jk+pFz/vfeey/f88c//PAD/P39CzGR/jju0pFzfmaXhpz3V4Bjb0x8dEc258+fR3BwMF6/fo2GDRtqH/yanJyMw4cPw8rKCnv27EGlSpUkTpo7Oec/ePAg2rRpgzJlyiAoKEgn+759+3Dz5k2Eh4ejYcOGEifNieMuHTnnZ3ZpyHl/BTj2xsSC6A1PnjzBhg0bcPz4cZ1LAgMDA9GtWzc4ODhInDB/cs4fHx+PZcuW5Zq9f//+8Pb2ljZgPjju0pFzfmaXhpz3V4BjbywsiIiIiEjxeGPGXCQlJeHEiRPa6tXDwwO1a9eGu7u7xMn0I+f8GRkZuHTpkk72ihUrwtLSUuJkb8dxl46c8zO7NOS8vwIce6OQbDq3CXr69Kno3r27MDc3FxYWFsLV1VW4uroKCwsLYW5uLj799FPx7NkzqWPmSc75MzMzxbhx44STk5NQqVQ6LycnJzF+/HiRmZkpdcxccdylI+f8zC4NOe+vQnDsjYkFUTZ9+vQR5cqVExERESIjI0O7PCMjQ+zevVuUL19e9O3bV8KE+ZNz/pEjRwoXFxexfPlyERcXJ54/fy6eP38u4uLixIoVK4Srq6sYNWqU1DFzxXGXjpzzM7s05Ly/CsGxNyYWRNk4OTmJo0eP5tl+5MgR4eTkVIiJDCPn/G5ubiIiIiLP9oiICOHq6lqIifTHcZeOnPMzuzTkvL8KwbE3Jt6HKBuNRgMrK6s8262srKDRaAoxkWHknP/Jkyfw9PTMs93DwwPPnj0rxET647hLR875mV0act5fAY69UUlWipmgbt26iWrVqonTp0/naDt9+rSoUaOG6N69uwTJ9CPn/K1atRLNmzcXDx48yNH24MED0aJFC9G6dWsJkr0dx106cs7P7NKQ8/4qBMfemFgQZfPo0SPRokULoVKphLOzs/Dz8xN+fn7C2dlZmJmZiZYtW4rHjx9LHTNPcs6fmJgoKlWqJCwsLES1atVEixYtRIsWLUS1atWEhYWFqFy5skhMTJQ6Zq447tKRc35ml4ac91chOPbGxPsQ5SI2NhZRUVE5bhrl5+cncTL9yDW/RqPB7t27c71hV/PmzWFmZtpneDnu0pBzfmaXjlz3V4BjbywsiIiIiEjxTLuMJCIiIioELIjyYGZmhvfee09nWcWKFWFubi5RIsPIOb+Pjw8++OADnWVBQUEoU6aMRIn0x3GXjpzzM7s05Ly/Ahz7gsZHd+Thhx9+gJOTk86y6dOnIzU1VZpABpJz/l69esHFxUVnWYcOHfDw4UOJEumP4y4dOedndmnIeX8FOPYFjXOIiIiISPF4yiwfr169wqtXr6SO8c7knl+uOO5E8sH9VTqmNvYsiN4QGRmJVq1aoWjRorC1tYWtrS2KFi2KVq1aYe/evVLHeys554+JicHAgQNRrVo1eHh4wMPDA9WqVcPAgQMRExMjdbx8cdylI+f8zC4NOe+vAMfeWHjKLJu1a9eib9++6NSpE4KDg+Hm5gYASE5Oxp49e/Dzzz9j9erV6NGjh8RJcyfn/Lt27UL79u1RvXr1HNkjIyMRHR2N33//HcHBwRInzYnjLh0552d2ach5fwU49kYl2S0hTVC5cuXE4sWL82xfsmSJ8PX1LcREhpFz/sqVK4sJEybk2T5x4kQREBBQiIn0x3GXjpzzM7s05Ly/CsGxNyYWRNmo1WoRGxubZ3tsbKywtrYuxESGkXN+a2tr2WbnuEtHzvmZXRpy3l+F4NgbE+cQZfPee+9h9erVebb/8MMP8Pf3L8REhpFzfm9vb4SHh+fZHh4eDi8vr0JMpD+Ou3TknJ/ZpSHn/RXg2BsT70OUzZw5c9CmTRtEREQgKChI5/zmvn37cPPmzXy/iFKTc/7JkyejW7duOHjwYK7ZIyIisGnTJolT5o7jLh0552d2ach5fwU49sbESdVviI+Px7Jly3J9aF7//v3h7e0tbcC3kHP+Y8eOYeHChbk+9O/LL79EYGCgxAnzxnGXjpzzM7s05Ly/Ahx7Y2FBRERERIrHU2a5yMjIwKVLl7TVq4eHBypWrAhLS0uJk+lH7vlTU1N1/nJwdHSUOJF+OO7SknN+Zi98ct9fAY59gZNsOrcJyszMFOPGjRNOTk5CpVLpvJycnMT48eNFZmam1DHzJPf8K1euFBUrVhRmZmbCzMxMqFQqYWZmJipWrChWrVoldbw8cdylJef8zF745L6/CsGxNxYWRNmMHDlSuLi4iOXLl4u4uDjx/Plz8fz5cxEXFydWrFghXF1dxahRo6SOmSc55581a5awtbUVY8aMEQcOHBAxMTEiJiZGHDhwQIwdO1bY2dmJ2bNnSx0zVxx36cg5P7NLQ877qxAce2NiQZSNm5ubiIiIyLM9IiJCuLq6FmIiw8g5f+nSpcWWLVvybN+8ebMoVapUISbSH8ddOnLOz+zSkPP+KgTH3ph4H6Jsnjx5Ak9PzzzbPTw88OzZs0JMZBg5579//z4CAgLybA8ICMDDhw8LMZH+OO7SkXN+ZpeGnPdXgGNvTCyIsmncuDFGjBiR65fp4cOHGD16NBo3blz4wfQk5/y1atXCjBkzkJGRkaMtMzMTM2fORK1atSRI9nYcd+nIOT+zS0PO+yvAsTcmXnafza1bt9CqVSvExsYiICBA56ZRFy5cgL+/P3bs2IFSpUpJnDR3cs5//vx5BAcH4/Xr12jYsKFO9sOHD8PKygp79uxBpUqVJE6aE8ddOnLOz+zSkPP+CnDsjYkF0Rs0Gg12796d602jmjdvDjMz0z6oJuf8T548wYYNG3LN3q1bNzg4OEicMG8cd+nIOT+zS0PO+yvAsTcWFkRERESkeKZdBhMREREVAhZEefDx8cEHH3ygsywoKAhlypSRKJFh5Jy/SZMmCAkJ0VnWq1cvNG3aVJpABuC4S0fO+ZldGnLeXwGOfUHjozvy0KtXL7i4uOgs69Chg8lezvgmOef39vaGh4eHzrISJUqY/Hl9gOMuJTnnZ3ZpyHl/BTj2BY1ziIiIiEjxTL+MJCIiIjIynjJ7Q0xMDBYvXoyoqKgclwQOHjwY/v7+EifMn5zzP3z4ED/88EOO7PXq1UNISEiOw6umhOMuHTnnZ3ZpyHl/BTj2xsJTZtns2rUL7du3R/Xq1REcHKxz06jIyEhER0fj999/R3BwsMRJcyfn/KdOnUJwcDBsbW0RFBSkk33fvn14/vw5du/ejZo1a0qcNCeOu3TknJ/ZpSHn/RXg2BuVVA9RM0WVK1cWEyZMyLN94sSJIiAgoBATGUbO+evUqSP69esnNBpNjjaNRiP69esn6tatK0Gyt+O4S0fO+ZldGnLeX4Xg2BsTC6JsrK2tRWxsbJ7tsbGxwtrauhATGUbO+a2trcXly5fzbL98+bJJZ+e4S0PO+ZldGnLeX4Xg2BsTJ1Vn4+3tjfDw8Dzbw8PD4eXlVYiJDCPn/O7u7jh58mSe7SdPntQeXjU1HHfpyDk/s0tDzvsrwLE3Jk6qzmby5Mno1q0bDh48mOu52YiICGzatEnilHmTc/4RI0agX79+iI6ORrNmzXJkX7lyJb777juJU+aO4y4dOedndmnIeX8FOPZGJdmxKRN19OhR8cknn4jSpUsLKysrYWVlJUqXLi0++eQTcezYManjvZWc82/evFnUqVNHWFhYCJVKJVQqlbCwsBB16tQRW7ZskTpevjju0pFzfmaXhpz3VyE49sbCq8zI5Lx+/Vp7t9LixYvD0tJS4kTKIPdxl3N+Zqd3wbEvWCyI8pCamqpzjwRHR0eJExlG7vlfvXoFAFCr1RInMQzHXVpyzs/shU/u+yvAsS9InFT9hlWrVsHf3x/Ozs7w9/dHxYoVtf9evXq11PHeSs75IyMj0apVKxQtWhS2trawtbVF0aJF0apVK+zdu1fqePniuEtHzvmZXRpy3l8Bjr3RSHrCzsTMmjVL2NraijFjxogDBw6ImJgYERMTIw4cOCDGjh0r7OzsxOzZs6WOmSc551+zZo2wsLAQXbp0EWFhYWLnzp1i586dIiwsTHTt2lVYWlqKdevWSR0zVxx36cg5P7NLQ877qxAce2NiQZRN6dKl852QtnnzZlGqVKlCTGQYOecvV66cWLx4cZ7tS5YsEb6+voWYSH8cd+nIOT+zS0PO+6sQHHtjYkGUjbW1tYiJicmz/dKlS8LGxqYQExlGzvnVarVJ37ArPxx36cg5P7NLQ877qxAce2PiHKJsatWqhRkzZiAjIyNHW2ZmJmbOnIlatWpJkEw/cs7/3nvv5Xv++IcffjDZBy5y3KUj5/zMLg05768Ax96YeJVZNufPn0dwcDBev36Nhg0b6tw06vDhw7CyssKePXtQqVIliZPmTs75Dx48iDZt2qBMmTK53rDr5s2bCA8PR8OGDSVOmhPHXTpyzs/s0pDz/gpw7I2JBdEbnjx5gg0bNuD48eM6lwQGBgaiW7ducHBwkDhh/uScPz4+HsuWLcs1e//+/eHt7S1twHxw3KUj5/zMLg05768Ax95YWBARERGR4nEOERERESkeCyIiIiJSPBZEREREpHgsiIiIiEjxWBDpiXPPiagwxMXF5XqfFjIujrm0TOF3LAuibF69eoURI0agYcOGmDlzJgBg6tSpsLe3R5EiRdCtWzekpaVJnDJ/586dQ8+ePVGmTBnY2NjAzs4OAQEBmDBhgslnj4mJwcCBA1GtWjV4eHjAw8MD1apVw8CBAxETEyN1vHd248YNNG3aVOoYebp37x42bNiAnTt3Ij09Xaft2bNnmDx5skTJ9BMZGYmJEydi//79AIDDhw+jZcuWaNq0KcLCwiROZ7gKFSrg2rVrUscwyN27dzFx4kR0794dI0aMQGxsrNSR8hQREYELFy4AADQaDaZMmYISJUpArVajZMmSmDFjhkn8cs5L27ZtsX79erx48ULqKAYz+d+xkt0j2wQNGzZMeHp6iq+++kpUrFhRDBw4UJQuXVps2LBBbNq0Sfj6+oohQ4ZIHTNPERERwsbGRnTs2FF8+umnwtbWVgwePFiMHj1a+Pr6irJly4p79+5JHTNXO3fuFFZWVqJu3bpi4sSJYunSpWLp0qVi4sSJol69ekKtVouIiAipY76Ts2fPCjMzM6lj5OrkyZPCyclJODg4CBsbG+Hr6ysuXryobU9KSjLZ7EIIsX79emFhYSGqV68u7O3tRVhYmHBychJ9+/YVn332mbCyshJbt26VOmauOnTokOvLzMxMBAUFad+bIhsbG3H//n0hxD+PW3B0dBS+vr6ic+fOws/PT9ja2opz585JnDJ3FSpUEIcPHxZCCDFt2jRRrFgxMXfuXLFr1y4xf/584ebmJmbMmCFxyrypVCphYWEhHB0dRf/+/cVff/0ldSS9mfrvWBZE2ZQqVUpERkYKIYS4ceOGMDMzE7/99pu2fc+ePcLLy0uidG9XtWpVsWzZMu37PXv2CD8/PyGEEOnp6aJZs2YiJCREqnj5qly5spgwYUKe7RMnThQBAQGFmEh/CxYsyPc1atQoky0qgoKCRO/evUVmZqZIS0sTAwYMEMWKFROnT58WQph+QVS1alWxYMECIYQQe/fuFTY2NmLu3Lna9u+++07Ur19fqnj5UqlUolGjRiIkJETnZWZmJtq3b699b4pUKpVITk4WQgjx4YcfirZt24rXr18LIYTIzMwUXbp0EW3atJEyYp7UarVISEgQQghRqVIl8dNPP+m079ixw2QfjirEP2N/6dIlMW/ePBEQECDMzMxElSpVxKJFi8SjR4+kjpcvU/8dy4IoGxsbG+2OIoQQlpaWOn8tx8XFCVtbWymi6cXa2lrExcVp32s0GmFpaSnu3r0rhBDi8OHDwsXFRaJ0+bO2tpbtAwtVKpXw9PQU3t7eub48PT1NtqgoWrSouHLlis6y6dOni6JFi4qTJ0+afEFkZ2cnbt68qX1vaWmpc2Ti8uXLolixYlJEe6sff/xRlCxZUvzwww86yy0sLMSlS5ckSqWf7AVRqVKltEdcspw+fVp4eHhIEe2tPDw8RFRUlBBCCDc3N23xn+Xq1asm/XDX7GMvhBAnTpwQ/fr1E46OjsLGxkZ07dpV7Nu3T8KEeTP137GcQ5RN6dKlERUVBQA4deoUVCoVTp48qW0/ceIESpQoIVW8typRogSuXLmifX/jxg1oNBoUK1YMAFCyZEk8ffpUqnj58vb2Rnh4eJ7t4eHh8PLyKsRE+vPy8sK8efMQFxeX6yu/z2UKXr58qfN+zJgx+Prrr9G8eXMcO3ZMolT6sbS01Jn3pFarYW9vr/PeVOdadOnSBX/++SdWr16Njh074vHjx1JH0ptKpYJKpQIAmJmZwdHRUafdycnJZD9Phw4d8O233yIzMxMffvghli5dqjNnaNGiRahatap0AQ1Uu3ZtrFixAnfv3sXSpUtx69YtfPDBB1LHypWp/461kGzLJqh///4ICQnBqlWrEB0dje+++w5ff/01YmNjYWZmhmXLluGrr76SOmaeevbsib59+2LcuHFQq9WYO3cu2rVrBysrKwDA2bNn4ePjI3HK3E2ePBndunXDwYMHc31gYUREBDZt2iRxytzVqFED0dHR+Pjjj3NtV6lUJjtJs1KlSjh27BgqV66ss3zEiBHQaDTo2rWrRMn04+vri9jYWFSoUAEAcOfOHRQpUkTbfuPGDZQsWVKqeG/l7e2Nw4cPY9KkSahSpQpWrlypLTRMmRAC5cuXh0qlwtOnT3H+/Hmd79D169fh7u4uYcK8TZs2DUFBQfDz80NgYCC2bt2KyMhIlC9fHtevX8ejR4+we/duqWMazNbWFiEhIQgJCcHVq1eljpMrU/8dy2eZvWHTpk2IiopCvXr10LVrVxw8eBChoaF4/vw52rZtiwkTJsDMzDQPrGVkZGDcuHHYsGEDXr16heDgYCxYsADFixcHAJw8eRIvX740yacgA8CxY8ewcOFCREVF5Xjo35dffonAwECJE+YuJiYGz58/R82aNXNtf/36Ne7evWuSR7hWrVqFQ4cOYf369bm2z5w5E8uXL0dcXFwhJ9PPr7/+imLFiuX5nZ4xYwaePXuGKVOmFHIywx05cgQ9e/ZEQkICLly4AH9/f6kj5Wnt2rU67ytUqIC6detq30+ZMgWPHz/G3LlzCzuaXl6/fo3Vq1fjjz/+wM2bN6HRaODh4YH69etjwIABJl1EN2nSBL/++iucnJykjvJOTPl3LAsiIiIT8fTpU9y4cQN+fn5Qq9VSxyFSFJ4yI5MmhIBGo4G5ubnUUQwmt+ypqak6R+benBdi6uScP3t2b29vWRVD/5Vxl1t2QN75TTK7ZNO5TVR4eLjo06ePGDlypLh8+bJO26NHj0STJk0kSqaf7PljYmJ02kw5/+vXr8W4ceNEw4YNRWhoqBBCiFmzZglbW1thZWUlevbsKV69eiVxytzJObsQQqxcuVJUrFhRmJmZ6bwqVqwoVq1aJXW8t5Jz/jezq1Qq2WbnuBee/9LYm1J2FkTZbNy4UZibm4vWrVuLBg0aCGtra7FhwwZtu6lfgizn/OPHjxdubm5i+PDhwt/fX/Tv31+UKlVKbNiwQaxdu1aUKFFCzJw5U+qYuZJz9qzCbcyYMeLAgQMiJiZGxMTEiAMHDoixY8cKOzs7MXv2bKlj5knO+ZldGnLOLoS885t6dhZE2WS/yZsQQmzZskXY2dlpq1ZTLiiEkHf+MmXKiD/++EMIIcS1a9eEmZmZ2Lx5s7Z9y5YtolKlSlLFy5ecs5cuXVps2bIlz/bNmzeLUqVKFWIiw8g5P7NLQ87ZhZB3flPPzjlE2Vy7dg1t27bVvv/444/h4uKCdu3a4fXr1+jQoYOE6d5Ozvnv3r2LKlWqAPjnUmorKyvtewCoVasWEhISpIqXLzlnv3//PgICAvJsDwgIwMOHDwsxkWHknJ/ZpSHn7IC885t6dtO8flwiDg4OSE5O1lnWpEkT7NixAyNHjsSiRYskSqYfOed3dHRESkqK9n316tV17ifz6tUrk70/i5yz16pVCzNmzMj1Sd+ZmZmYOXMmatWqJUEy/cg5P7NLQ87ZAXnnN/XsPEKUTe3atbFr1y6d+2kAQKNGjfDHH3+gTZs2EiXTj5zz+/v74/Tp09q/Ho4eParTfuHCBZQrV06KaG8l5+yLFy9GcHAw3N3d0bBhQ50bYh4+fBhWVlbYs2ePxCnzJuf8zC4NOWcH5J3f1LPzPkTZHDp0CMeOHcPYsWNzbT9w4ADWrVuHsLCwQk6mHznnv3r1KiwtLfO8k/amTZtgYWGR592gpSTn7ADw5MkTbNiwAcePH89xQ8xu3brBwcFB4oT5k3N+ZpeGnLMD8s5vytlZEBEREZHicQ7RW7Ru3Rr37t2TOsY7k3N+ZpeGnLMD8s7P7NKQc3ZA3vlNKTsLorc4fPiwyT4tWx9yzs/s0pBzdkDe+ZldGnLODsg7vyllZ0FEREREiseC6C28vLxgaWkpdYx3Juf8zC4NOWcH5J2f2aUh5+yAvPObUnZOqiYiIiLF4xGiXGg0mjyXJyYmFnIaw8k5P7OblmfPnuHw4cNSx3hncs7P7NKQc3ZA3vmlzs6CKJu0tDR8/PHHsLOzg5ubG0JDQ5GZmaltf/DgQZ73mjEFcs7P7Kbp+vXraNKkidQx3pmc8zO7NOScHZB3fqmz807V2UyYMAHnzp3D+vXrkZKSgqlTp+L06dPYtm0brKysAACmfIZRzvmZnYiIpMQ5RNl4eXlh7dq1aNy4MQDg4cOHaN26NZycnLB9+3akpKTA09NT569/UyLn/MwuDWdn53zbMzMz8fTpU5PMDsg7P7NLQ87ZAXnnN/XsLIiysbW1xaVLl3RObzx58gTBwcGwsbHBqlWr4Ovra5JfNEDe+ZldGnZ2dhgwYECeT6BOSEjApEmTTDI7IO/8zC4NOWcH5J3f5LML0qpQoYIIDw/PsfzJkyciMDBQVKlSRZiZmUmQTD9yzs/s0qhXr56YP39+nu1nz5412exCyDs/s0tDztmFkHd+U8/OSdXZNG/ePNcHn9rb22P37t2wtraWIJX+5Jyf2aXRunVrpKSk5Nnu7OyMnj17Fl4gA8k5P7NLQ87ZAXnnN/XsPGWWzePHj3H37l289957ubY/efIEp0+fRqNGjQo5mX7knJ/ZiYhISiyIiIiISPF42b0BkpOTsWLFCoSGhkod5Z3IOT+zG096ejp+++03REVFISkpCQDg7u6OevXq4cMPP9TeOsBUyTk/s0tDztkBeec35ew8QmSAc+fOoXr16iY5e18fcs7P7MZx/fp1BAcH4+7du6hTpw7c3NwA/FPEnThxAiVLlsSuXbvg6+srcdLcyTk/s0tDztkBeec39ewsiLI5f/58vu2xsbHo2rWrSf5iA+Sdn9ml8cEHH8DOzg7r1q2Dg4ODTltaWhp69uyJFy9eYPfu3RIlzJ+c8zO7NOScHZB3fpPPLtn1bSZIpVIJMzMzoVKpcryylpvq5YxCyDs/s0vDxsZGXLhwIc/28+fPCxsbm0JMZBg552d2acg5uxDyzm/q2XnZfTbOzs5YuXIl4uLicrxu3ryJHTt2SB0xX3LOz+zScHJyQnx8fJ7t8fHxcHJyKrQ8hpJzfmaXhpyzA/LOb+rZOak6mxo1auDu3bvw8vLKtT0lJcWkn0kl5/zMLo2+ffuiZ8+emDBhApo1a6ZzTn/fvn2YOnUqhgwZInHKvMk5P7NLQ87ZAXnnN/nskh2bMkHbtm0T69evz7P90aNHYs2aNYWYyDByzs/s0pkxY4bw8PDQntrLOs3n4eEhZs6cKXW8t5JzfmaXhpyzCyHv/KacnZOqiQgAEBcXp3MZbPZns8mBnPMzuzTknB2Qd35TzM45RG9x9OhRvHr1SuoY70zO+Zm9cPn4+CAwMBAajQaenp5SxzGYnPMzuzTknB2Qd35TzM4jRG/h4OCAs2fPokyZMlJHeSdyzs/s0pBzdkDe+ZldGnLODsg7vyll5xGit5B7vSjn/MwuDTlnB+Sdn9mlIefsgLzzm1J2FkRERESkeCyI3mLFihXaSwPlSM75mV0acs4OyDs/s0tDztkBeec3peycQ0REORw8eBB16tSBjY2N1FHeiZzzM7s05JwdkHd+U8nOI0RvWLVqFXr16oWwsDAAwJYtW1CxYkWUKVMGEydOlDjd28k5P7ObjubNm+d7R1lTJ+f8zC4NOWcH5J3fVLLzTtXZzJ8/H+PHj0dwcDDGjRuHu3fvYt68eRg2bBgyMzMxZ84clChRAv369ZM6aq7knJ/ZpVG9evVcl2dkZKBjx46wtrYGAJw+fbowY+lNzvmZXRpyzg7IO7+pZ2dBlM2KFSvw/fffo1u3bjhz5gxq166N5cuXo0+fPgCAEiVKYNmyZSb5iw2Qd35ml8aFCxcQFBSEunXrapcJIXDu3Dk0adIErq6uEqZ7OznnZ3ZpyDk7IO/8Jp+98G6KbfpsbGxEQkKC9r1arRYXL17Uvr927ZpwcnKSIppe5Jyf2aVx5MgRUbZsWREaGioyMzO1yy0sLMSlS5ckTKYfOedndmnIObsQ8s5v6tk5hygbW1tbPHv2TPvexcUF9vb2On0yMjIKO5be5Jyf2aVRv359REdH4+rVq6hXrx5u3LghdSSDyDk/s0tDztkBeec39ewsiLLx8/PD+fPnte9v3bql8wTz2NhYeHt7S5BMP3LOz+zScXR0xI8//oj//e9/aNCgAb7//nuoVCqpY+lNzvmZXRpyzg7IO78pZ+ccomxmzpwJOzu7PNsTExPxv//9rxATGUbO+Zlder1790aDBg3QvXt3kz2ilR8552d2acg5OyDv/KaYnfchIiIdGo0GT548gYODg8n85WYIOedndmnIOTsg7/ymlJ0FERERESke5xC9YenSpQgKCsLHH3+Mffv26bQ9fPjQJJ7Imx8552d2acg5OyDv/MwuDTlnB+Sd35SzsyDKZuHChRg5ciT8/PygVqvRqlUrTJ8+XduemZmJhIQECRPmT875mV0acs4OyDs/s0tDztkBeec3+ezSXvVvWvz9/cXGjRu1748ePSpcXFzEhAkThBBCJCUlCTMzM6nivZWc8zO7NOScXQh552d2acg5uxDyzm/q2VkQZWNjYyPi4uJ0ll24cEG4ubmJMWPGSP4f623knJ/ZpSHn7ELIOz+zS0PO2YWQd35Tz87L7rMpXrw4bt26pXPPmEqVKmH//v1o2rQp7t69K104Pcg5P7NLQ87ZAXnnZ3ZpyDk7IO/8pp6dc4iyadCgAbZt25Zjub+/P/bt24ddu3ZJkEp/cs7P7NKQc3ZA3vmZXRpyzg7IO7+pZ+cRomzGjBmD6OjoXNvee+897N+/H7/88kshp9KfnPMzuzTknB2Qd35ml4acswPyzm/q2XkfIiIiIlI8HiHKxcmTJxEVFYWkpCQAgLu7OwIDA1G7dm2Jk+lHzvmZXRpyzg7IOz+zS0PO2QF55zfZ7JJN5zZBycnJon79+kKlUgkvLy9Ru3ZtUbt2beHl5SVUKpVo0KCBSE5OljpmnuScn9mlIefsQsg7P7NLQ87ZhZB3flPPzoIom44dO4rAwEARGxuboy02NlbUq1dPdOrUSYJk+pFzfmaXhpyzCyHv/MwuDTlnF0Le+U09OwuibOzt7cXp06fzbP/rr7+Evb19ISYyjJzzM7s05JxdCHnnZ3ZpyDm7EPLOb+rZedl9Nmq1GmlpaXm2P3nyBGq1uhATGUbO+ZldGnLODsg7P7NLQ87ZAXnnN/nskpViJmjgwIHCy8tLbNu2TaSmpmqXp6amim3btglvb28xePBgCRPmT875mV0acs4uhLzzM7s05JxdCHnnN/XsLIiyefnypejfv7+wsrISZmZmwtraWlhbWwszMzNhZWUlBgwYIF6+fCl1zDzJOT+zS0PO2YWQd35ml4acswsh7/ymnp33IcpFWloaoqOjdS4JrFGjBhwcHCROph8552d2acg5OyDv/MwuDTlnB+Sd31SzsyAiIiIixeOk6je8ePECR44cQUxMTI62ly9fYt26dRKk0p+c8zO7NOScHZB3fmaXhpyzA/LOb9LZJTtZZ4KuXLmivUGUmZmZaNiwobhz5462PSkpSZiZmUmYMH9yzs/s0pBzdiHknZ/ZpSHn7ELIO7+pZ+cRomxGjx6NSpUq4f79+7hy5QqKFCmCBg0aIDExUepoepFzfmaXhpyzA/LOz+zSkHN2QN75TT67ZKWYCXJ1dRXnz5/XvtdoNKJ///6idOnS4saNG5JXr28j5/zMLg05ZxdC3vmZXRpyzi6EvPObenYeIcrmxYsXsLD4/+fdqlQqLFu2DG3btkWjRo1w9epVCdO9nZzzM7s05JwdkHd+ZpeGnLMD8s5v6tn5tPts/Pz88Ndff6FixYo6yxcvXgwAaNeunRSx9Cbn/MwuDTlnB+Sdn9mlIefsgLzzm3x2yY5NmaBp06aJli1b5tk+YMAAoVKpCjGRYeScn9mlIefsQsg7P7NLQ87ZhZB3flPPzvsQERERkeJxDhEREREpHgsiIiIiUjwWRERERKR4LIiIiIhI8VgQEZGkQkJC0L59e8m236NHD0ybNk2y7efl4cOHcHV1xe3bt6WOQqQIvMqMiIxGpVLl2z5x4kQMGzYMQgg4OTkVTqhszp07h6ZNmyIhIQH29vYAgMaNG+PQoUMAACsrKxQvXhzVq1dH79698dFHHxVqvhEjRuDx48dYvXp1oW6XSIlYEBGR0SQlJWn/vWXLFoSGhuLKlSvaZfb29tpCRAp9+/aFhYUFli9frl3WuHFjlC9fHpMnT0ZGRgZu376NX3/9FfPmzUNISAi+//77Qst36dIl1KhRA3fv3oWzs3OhbZdIiXjKjIiMxt3dXftydHSESqXSWWZvb5/jlFnjxo0xZMgQDB06FEWLFoWbmxtWrlyJZ8+eoXfv3ihSpAh8fX2xa9cunW1dvHgRLVu2hL29Pdzc3NCjRw88fPgwz2yZmZn4+eef0bZt2xxttra2cHd3R8mSJVG3bl3MnDkTK1aswMqVK7F3715tv9GjR6N8+fKwtbVFmTJlMGHCBLx+/RoAEB8fDzMzM/z11186654/fz68vLyg0Wjw+PFjdO/eHS4uLrCxsUG5cuUQFham7fvee+/B09MTv/76q0HjTkSGY0FERCZn7dq1KF68OE6ePIkhQ4ZgwIAB6Ny5M+rVq4fTp0+jefPm6NGjB54/fw4ASElJQdOmTVGtWjX89ddfiIiIQHJyMj7++OM8t3H+/HmkpqaiZs2aemXq1asXihYtim3btmmXFSlSBGvWrEFMTAwWLFiAlStXYt68eQAAb29vBAUF6RQ4ABAWFoaQkBCYmZlhwoQJiImJwa5du3D58mUsW7YMxYsX1+lfu3Zt/Pnnn3plJKJ3x4KIiExOlSpVMH78eJQrVw5jx46FtbU1ihcvjs8//xzlypVDaGgo/v77b5w/fx7AP89CqlatGqZNmwY/Pz9Uq1YNP/zwAw4cOJDnAyMTEhJgbm4OV1dXvTKZmZmhfPnyiI+P1y4bP3486tWrB29vb7Rt2xYjRozATz/9pG3v27cvfvzxR7x69QoAcPr0aVy4cAG9e/cGACQmJqJatWqoWbOmtoB684iVp6cnEhIS9B47Ino3LIiIyORUrlxZ+29zc3MUK1YMAQEB2mVubm4AgPv37wP4Z3L0gQMHtHOS7O3t4efnBwC4ceNGrtt48eIF1Gr1Wyd+ZyeE0Om/ZcsW1K9fX3v6b/z48UhMTNS2t2/fHubm5tpTXmvWrEGTJk3g7e0NABgwYAA2b96MqlWrYtSoUTh27FiObdrY2GiPhBGR8bAgIiKTY2lpqfNepVLpLMsqSjQaDQDg6dOnaNu2Lc6ePavzunbtGho2bJjrNooXL47nz58jPT1dr0yZmZm4du0afHx8AABRUVHo3r07WrVqhR07duDMmTMYN26czvqsrKzQs2dPhIWFIT09HZs2bcJnn32mbW/ZsiUSEhIwbNgw3L17F82aNcOIESN0tvvo0SO4uLjolZGI3p2F1AGIiP6t6tWr45dffoG3tzcsLPT731rVqlUBADExMdp/52ft2rV4/PgxOnbsCAA4duwYvLy8MG7cOG2f3E5t9e3bF5UqVcLSpUuRkZGR49J9FxcX9OrVC7169cL777+PkSNH4rvvvtO2X7x4EY0bN9brMxHRu+MRIiKSvUGDBuHRo0fo2rUrTp06hRs3bmD37t3o3bs3MjMzc/0ZFxcXVK9eHUeOHMnR9vz5cyQlJeH27ds4fvw4Ro8ejf79+2PAgAFo0qQJAKBcuXJITEzE5s2bcePGDSxcuDDXq8EqVqyIunXrYvTo0ejatStsbGy0baGhofj9999x/fp1XLp0CTt27EDFihV1ckRHR6N58+b/doiI6C1YEBGR7Hl6euLo0aPIzMxE8+bNERAQgKFDh8LJyQlmZnn/b65v377YuHFjjuUrV66Eh4cHypYti48++ggxMTHYsmULli5dqu3Trl07DBs2DIMHD0bVqlVx7NgxTJgwIdft9OnTB+np6Tqny4B/TqmNHTsWlStXRsOGDWFubo7Nmzdr23///XeULl0a77//vqFDQkQG4o0ZiUixXrx4gQoVKmDLli0IDAw02namTJmCrVu3aq+K01fdunXxxRdfoFu3bkZKRkRZeISIiBTLxsYG69aty/cGjv/G06dPcfHiRSxevBhDhgwx6GcfPnyIjz76CF27djVKNiLSxSNERERGEhISgh9//BHt27fHpk2bYG5uLnUkIsoDCyIiIiJSPJ4yIyIiIsVjQURERESKx4KIiIiIFI8FERERESkeCyIiIiJSPBZEREREpHgsiIiIiEjxWBARERGR4rEgIiIiIsX7P509Q/926k+BAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for user in d_df['User First Name'].unique():\n",
" df_user_1 = d_df[d_df['User First Name'] == user]\n",
" df_user_1.plot(x ='Calendar Date (Local)', y='Distance (m)', kind='bar'),\n",
" plt.ylim(ymin=0)\n",
" plt.xlim(xmin=0)\n",
" plt.ylabel(\"Distance (m)\")\n",
" plt.xlabel(\"Time (Days)\")\n",
" plt.title(\"Total Distance (m) per Day for User \" + user)\n",
" \n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "9ab70d05-5f04-4749-b44a-3a36ba51f4dd",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Steps\n",
"User First Name \n",
"P10 6647.357143\n",
"P11 5741.727273\n",
"P12 2144.444444\n",
"P13 6752.875000\n",
"P14 4621.526316\n",
"---------------------------\n",
" Distance (m)\n",
"User First Name \n",
"P10 5064.713831\n",
"P11 4467.490448\n",
"P12 1638.911112\n",
"P13 4339.873735\n",
"P14 3686.252502\n",
"---------------------------\n"
]
}
],
"source": [
"for category in ['Steps', 'Distance (m)']:\n",
" df_user_group_cat_activity = pd.DataFrame(d_df.groupby(d_df['User First Name'])[category].mean())\n",
" print(df_user_group_cat_activity)\n",
" print(\"---------------------------\")"
]
},
{
"cell_type": "markdown",
"id": "81c7b980-d34a-40d5-ab25-675586f5d005",
"metadata": {},
"source": [
"### Stress per day per user"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "ffb2a57c-3388-4d51-a343-1f247501e25a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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xNxvF6fnz5wA0j7SRfuGpJSqRjh8/nueh4B9//BGA5qF5S0tLrS6v7NKlCwwNDTFjxoxc2xBCqG+6lZycjFevXmnM9/Pzg4GBgfqS4b///jvX+rNv5PXvy4q1VdA6s/Xo0QPp6enYtGkTDh06lOuoQXBwMKytrTF79uw8Lyn+888/C1Xnq1ev1Pf8AKRfyqtXr4aDgwP8/f0BSE3W77//jjVr1uT6/PPnz5Gamlqobb9OZmYmxowZg5s3b2LMmDGwtrYGAPXRrX9mmpSUhA0bNuS5nl69ekGlUuGjjz7C/fv3X3u10psEBQXBxMQES5cu1dj+unXrkJSUhLZt2xZ63a1btwYALFu2LNe87KuxspcBkGv/sbKyQsWKFdX7raOjI5o2bYrVq1dr/MchW2H3l+KS16nRly9fYvPmzTA3Ny+yMVdU8vCIDJVIo0ePRlpaGjp37gwfHx9kZGTg7Nmz6iMN/xwA6e/vj2PHjmHhwoVwdXWFl5cX6tevn++6K1SogFmzZiEsLAwPHjxAp06dUKpUKURHR2Pv3r0YOnQoJkyYgJ9++gmjRo1Ct27dUKlSJbx69QpbtmyBoaEhQkJCAEjjDE6dOoW2bdvCw8MDCQkJWLFiBcqVK6dxz5r83Lt3T31k559q1aqFtm3bFqjObLVr10bFihUxefJkpKen57qs2draGitXrkTfvn1Ru3Zt9OzZEw4ODoiJicGBAwfQqFGjPH8JvomrqyvmzZuHBw8eoFKlSti5cyeuXLmCr776Sn033b59+2LXrl0YPnw4jh8/jkaNGiEzMxO3bt3Crl27cPjwYfXRtsJISkrC1q1bAUiXnWff2TcqKgo9e/bE//73P/WyrVq1gomJCdq3b49hw4bh2bNnWLNmDRwdHfP8he3g4ID3338f33zzDWxtbd+q2XBwcEBYWBhmzJiB999/Hx06dMDt27exYsUK1K1b962apJo1ayI0NBRLlizB3bt30bJlSwDSIO8ff/wRoaGhqFGjhnp5X19fNG3aFP7+/rC3t8elS5fw7bffYtSoUeplli9fjsaNG8PPzw9DhgxB+fLlER8fj3PnzuHRo0e4evVqoestqFOnTuHUqVMApOYpNTVV/Z0JDAxEYGAgAGDYsGFITk5GYGAgypYti7i4OGzbtg23bt3CggULXvv4BlI4Ga6UInqjgwcPikGDBgkfHx9hZWUlTExMRMWKFcXo0aNFfHy8xrK3bt0SgYGBwtzcXABQX2Ka1+Wv/7R7927RuHFjYWlpKSwtLYWPj48YOXKkuH37thBCiPv374tBgwaJChUqCDMzM2Fvby+aNWsmjh07pl5HeHi46Nixo3B1dRUmJibC1dVV9OrVS9y5c+eNP6OHh4f6MtF/vwYPHlzgOv9p8uTJAoCoWLFivts9fvy4CA4OFjY2NsLMzExUqFBBDBgwQFy6dEm9jDaXX1etWlVcunRJBAQECDMzM+Hh4SGWLVuWa9mMjAwxb948UbVqVWFqairs7OyEv7+/mDFjhkhKSlIvB0CMHDnyjdv+Zw3/zM7Kykp4e3uLDz74QBw5ciTPz3z33XeievXqwszMTHh6eop58+aJ9evXCwAiOjo61/LZl7IPHTq0wHW9bv9btmyZ8PHxEcbGxsLJyUmMGDFCPH36NNfP9brLyvOSmZkplixZImrUqCHMzMyEmZmZqFGjhli6dKnG5d5CCDFr1ixRr149YWtrK8zNzYWPj4/47LPPct3iICoqSvTr1084OzsLY2NjUbZsWdGuXTvx7bffqpfJvvz64sWLBaoz+/Lrzz///I3LZueY12v69Onq5b7++msRFBQknJychJGRkbCzsxNBQUFi//79BaqJlEslBIdyE1HhNG3aFE+ePHnjjQuVbv/+/ejUqRNOnTqF9957T+5yiOgfOEaGiOgN1qxZg/LlyxfodCER6RbHyBAR5WPHjh24du0aDhw4gCVLluj0iisiKhg2MkRE+ejVqxesrKwwePBgfPjhh3KXQ0R54BgZIiIiUiyOkSEiIiLFYiNDREREiqX3Y2SysrLw+PFjlCpVigP1iIiIFEIIgZSUFLi6umo8LT6vBWXz6tUrMWXKFOHp6SnMzMxE+fLlxcyZM0VWVpZ6maysLDF16lTh7OwszMzMRIsWLQp0s7FssbGx+d5MiS+++OKLL774Ktmv2NjY1/6el/WIzLx587By5Ups2rQJVatWxaVLlzBw4EDY2NhgzJgxAID58+dj6dKl2LRpE7y8vDB16lQEBwcjMjJS40mu+SlVqhQAIDY2Vv2sFSIiIirZkpOT4ebmpv49nh9Zr1pq164dnJycsG7dOvW0kJAQmJubY+vWrRBCwNXVFf/5z3/Uz5RJSkqCk5MTNm7ciJ49e75xG8nJybCxsUFSUhIbGSIiIoUo6O9vWQf7NmzYEOHh4bhz5w4A4OrVqzh9+rT6Ca3R0dGIi4vTeIS8jY0N6tevj3PnzuW5zvT0dCQnJ2u8iIiISD/Jempp0qRJSE5Oho+PDwwNDZGZmYnPPvsMffr0AQDExcUBAJycnDQ+5+TkpJ73b3PmzMGMGTOKt3AiIiIqEWQ9IrNr1y5s27YN27dvx+XLl7Fp0yZ88cUX2LRpU6HXGRYWhqSkJPUrNja2CCsmIiKikkTWIzITJ07EpEmT1GNd/Pz88PDhQ8yZMwf9+/eHs7MzACA+Ph4uLi7qz8XHx6NmzZp5rtPU1BSmpqbFXjsRUUmUmZmJly9fyl0G0RsZGxvD0NDwrdcjayOTlpaW69pwQ0NDZGVlAQC8vLzg7OyM8PBwdeOSnJyMX375BSNGjNB1uUREJZYQAnFxcUhMTJS7FKICs7W1hbOz81vd503WRqZ9+/b47LPP4O7ujqpVq+LXX3/FwoULMWjQIACASqXC2LFjMWvWLHh7e6svv3Z1dUWnTp3kLJ2IqETJbmIcHR1hYWHBG4BSiSaEQFpaGhISEgBA46yLtmRtZL788ktMnToVH374IRISEuDq6ophw4Zh2rRp6mU+/vhjpKamYujQoUhMTETjxo1x6NChAt1DhojoXZCZmaluYkqXLi13OUQFYm5uDgBISEiAo6NjoU8z6f3Tr3kfGSLSdy9evEB0dDQ8PT3VvxyIlOD58+d48OABvLy8ch2gUMR9ZIiIqOjwdBIpTVHss2xkiIiISLHYyBARESnQgwcPoFKpcOXKldcud/v2bTg7OyMlJUU3hf2/SZMmYfTo0cW+HVkH+xIRUfHynHRAp9t7MLetVsv/+eefmDZtGg4cOID4+HjY2dmhRo0amDZtGho1agRAOv2wd+/eEne1atOmTVGzZk0sXrxY7lJeKywsDKNHj37jwxeL2oQJE1C+fHmMGzcO5cuXL7bt8IgMERHJJiQkBL/++is2bdqEO3fu4LvvvkPTpk3x119/abWejIyMYqpQ2WJiYvDDDz9gwIABOt92mTJlEBwcjJUrVxbrdtjIEBGRLBITE/Hzzz9j3rx5aNasGTw8PFCvXj2EhYWhQ4cOAABPT08AQOfOnaFSqdTvP/30U9SsWRNr167VuOIlMTERoaGhcHBwgLW1NZo3b46rV6+qt3n16lU0a9YMpUqVgrW1Nfz9/XHp0iUAwMOHD9G+fXvY2dnB0tISVatWxY8//ljon+/06dN47733YG5uDjc3N4wZMwapqakAgP/+97+oX79+rs/UqFEDM2fOVL9fu3YtqlSpAjMzM/j4+GDFihVa1bBr1y7UqFEDZcuWVU/766+/0KtXL5QtWxYWFhbw8/PD119/rZ7/1VdfwdXVVX1z2mwdO3ZU3+cNAGbNmgVHR0eUKlUKoaGhmDRpUq677rdv3x47duzQqmZtsZEhIiJZWFlZwcrKCvv27UN6enqey1y8eBEAsGHDBvzxxx/q9wBw79497N69G3v27FGPE+nWrRsSEhJw8OBBREREoHbt2mjRogX+/vtvAECfPn1Qrlw5XLx4EREREZg0aRKMjY0BACNHjkR6ejpOnTqF69evY968ebCysirUzxYVFYX3338fISEhuHbtGnbu3InTp09j1KhR6jouXLiAqKgo9Wdu3LiBa9euoXfv3gCAbdu2Ydq0afjss89w8+ZNzJ49G1OnTtXqeYQ///wz6tSpozHtxYsX8Pf3x4EDB/Dbb79h6NCh6Nu3Ly5cuKDO8K+//sLx48fVn/n7779x6NAh9UOdt23bhs8++wzz5s1DREQE3N3d8zzyUq9ePTx69AgPHjwocM3a4hgZIoXS9diHvGg7HoLon4yMjLBx40YMGTIEq1atQu3atdGkSRP07NkT1atXBwA4ODgAyLmV/T9lZGRg8+bN6mVOnz6NCxcuICEhQf3MvS+++AL79u3Dt99+i6FDhyImJgYTJ06Ej48PAMDb21u9vpiYGISEhMDPzw8A3mpcx5w5c9CnTx+MHTtWvZ2lS5eiSZMmWLlyJapWrYoaNWpg+/btmDp1KgCpOahfvz4qVqwIAJg+fToWLFiALl26AJAe2xMZGYnVq1ejf//+Barj4cOHuRqZsmXLYsKECer3o0ePxuHDh7Fr1y7Uq1cPdnZ2aN26NbZv344WLVoAAL799luUKVMGzZo1AyDd0Hbw4MEYOHAgAGDatGk4cuQInj17prEtV1dXdR3ZR9OKGo/IEBGRbEJCQvD48WN89913eP/993HixAnUrl0bGzdufONnPTw81E0MIJ02evbsGUqXLq0+2mNlZYXo6Gj1kY/x48cjNDQUQUFBmDt3rsYRkTFjxmDWrFlo1KgRpk+fjmvXrhX657p69So2btyoUUdwcDCysrIQHR0NQDoqs337dgDSLfu//vpr9RGP1NRUREVFYfDgwRrrmDVrlkbNb/L8+fNcN5rLzMzE//73P/j5+cHe3h5WVlY4fPgwYmJi1Mv06dMHu3fvVh8p27ZtG3r27Kl+PuLt27dRr149jfX++z2Qc/fetLS0AtesLTYyREQkKzMzM7Rs2RJTp07F2bNnMWDAAEyfPv2Nn7O0tNR4/+zZM7i4uODKlSsar9u3b2PixIkApLE1N27cQNu2bfHTTz/B19cXe/fuBQCEhobi/v376Nu3L65fv446dergyy+/LNTP9OzZMwwbNkyjjqtXr+Lu3buoUKECAKBXr164ffs2Ll++jLNnzyI2NhY9evRQfx4A1qxZo7GO3377DefPny9wHWXKlMHTp081pn3++edYsmQJPvnkExw/fhxXrlxBcHCwxoDp9u3bQwiBAwcOIDY2Fj///LO6ydJG9im9fzacRY2nloiIqETx9fXFvn371O+NjY2RmZn5xs/Vrl0bcXFxMDIyeu1pjEqVKqFSpUoYN24cevXqhQ0bNqBz584AADc3NwwfPhzDhw9HWFgY1qxZU6h7odSuXRuRkZHq00R5KVeuHJo0aYJt27bh+fPnaNmyJRwdHQEATk5OcHV1xf379wvVQGSrVasWIiMjNaadOXMGHTt2xAcffAAAyMrKwp07d+Dr66texszMDF26dMG2bdtw7949VK5cGbVr11bPr1y5Mi5evIh+/fqpp/1z/FK23377DcbGxqhatWqhf4Y3YSNDRESy+Ouvv9CtWzcMGjQI1atXR6lSpXDp0iXMnz8fHTt2VC/n6emJ8PBwNGrUCKamprCzs8tzfUFBQQgICECnTp0wf/58VKpUCY8fP8aBAwfQuXNnVK1aFRMnTkTXrl3h5eWFR48e4eLFiwgJCQEAjB07Fq1bt0alSpXw9OlTHD9+HFWqVHntz/Dnn3/muiGdi4sLPvnkEzRo0ACjRo1CaGgoLC0tERkZiaNHj2LZsmXqZfv06YPp06cjIyMDixYt0ljPjBkzMGbMGNjY2OD9999Heno6Ll26hKdPn2L8+PEFyjg4OBihoaHIzMxUP5TR29sb3377Lc6ePQs7OzssXLgQ8fHxGo1Mdm3t2rXDjRs31E1PttGjR2PIkCGoU6cOGjZsiJ07d+LatWu5xhX9/PPP6iu3igsbGSIiPVaSB2RbWVmhfv36WLRoEaKiovDy5Uu4ublhyJAh+O9//6tebsGCBRg/fjzWrFmDsmXL5nsFjEqlwo8//ojJkydj4MCB+PPPP+Hs7IzAwEA4OTnB0NAQf/31F/r164f4+HiUKVMGXbp0wYwZMwBIY0dGjhyJR48ewdraGu+//36u5uLftm/frh7nku1///sfpkyZgpMnT2Ly5Ml47733IIRAhQoV1KeOsnXt2hWjRo2CoaFhrhv+hYaGwsLCAp9//jkmTpwIS0tL+Pn5qQcQF0Tr1q1hZGSEY8eOITg4GAAwZcoU3L9/H8HBwbCwsMDQoUPRqVMnJCUlaXy2efPmsLe3x+3bt9VXUmXr06cP7t+/jwkTJuDFixfo3r07BgwYoL7yKduOHTvw6aefFrjewuDTr4kUilctUbbsp1/n9QRhouXLl+O7777D4cOHi3U7LVu2hLOzM7Zs2QIAOHjwIP7zn//g2rVrMDLK+7jJ6/bdgv7+5hEZIiIiPTZs2DAkJiYiJSWlyB5TkJaWhlWrViE4OBiGhob4+uuvcezYMRw9elS9TGpqKjZs2JBvE1NU2MgQERHpMSMjI0yePLlI15l9Gu+zzz7DixcvULlyZezevRtBQUHqZbp27Vqk28wPGxkiIiLSirm5OY4dOyZ3GQB4HxkiIiJSMDYyRER6Qs+v3SA9VBT7LBsZIiKFy37oYXHeBp6oOGTvs9n7cGFwjAwRkcIZGhrC1tYWCQkJAAALCwuoVCqZqyLKnxACaWlpSEhIgK2trfpmfYXBRoaISA9kPxk6u5khUoK8nmquLTYyRER6QKVSwcXFBY6Ojnj58qXc5RC9kbGx8VsdicnGRoaISI8YGhoWyS8HIqXgYF8iIiJSLDYyREREpFhsZIiIiEix2MgQERGRYrGRISIiIsViI0NERESKxUaGiIiIFIuNDBERESkWGxkiIiJSLDYyREREpFiyNjKenp5QqVS5XiNHjgQAvHjxAiNHjkTp0qVhZWWFkJAQxMfHy1kyERERlSCyNjIXL17EH3/8oX4dPXoUANCtWzcAwLhx4/D999/jm2++wcmTJ/H48WN06dJFzpKJiIioBJH1oZEODg4a7+fOnYsKFSqgSZMmSEpKwrp167B9+3Y0b94cALBhwwZUqVIF58+fR4MGDeQomYiIiEqQEjNGJiMjA1u3bsWgQYOgUqkQERGBly9fIigoSL2Mj48P3N3dce7cORkrJSIiopJC1iMy/7Rv3z4kJiZiwIABAIC4uDiYmJjA1tZWYzknJyfExcXlu5709HSkp6er3ycnJxdHuURERFQClJgjMuvWrUPr1q3h6ur6VuuZM2cObGxs1C83N7ciqpCIiIhKmhLRyDx8+BDHjh1DaGioepqzszMyMjKQmJiosWx8fDycnZ3zXVdYWBiSkpLUr9jY2OIqm4iIiGRWIhqZDRs2wNHREW3btlVP8/f3h7GxMcLDw9XTbt++jZiYGAQEBOS7LlNTU1hbW2u8iIiISD/JPkYmKysLGzZsQP/+/WFklFOOjY0NBg8ejPHjx8Pe3h7W1tYYPXo0AgICeMUSERERASgBjcyxY8cQExODQYMG5Zq3aNEiGBgYICQkBOnp6QgODsaKFStkqJKIiIhKIpUQQshdRHFKTk6GjY0NkpKSeJqJ9IrnpANyl4AHc9u+eSEiokIo6O/vEjFGhoiIiKgw2MgQERGRYrGRISIiIsViI0NERESKxUaGiIiIFIuNDBERESkWGxkiIiJSLDYyREREpFhsZIiIiEix2MgQERGRYrGRISIiIsViI0NERESKxUaGiIiIFIuNDBERESkWGxkiIiJSLDYyREREpFhsZIiIiEix2MgQERGRYrGRISIiIsViI0NERESKxUaGiIiIFIuNDBERESkWGxkiIiJSLDYyREREpFhsZIiIiEix2MgQERGRYrGRISIiIsViI0NERESKxUaGiIiIFIuNDBERESkWGxkiIiJSLDYyREREpFhsZIiIiEix2MgQERGRYrGRISIiIsWSvZH5/fff8cEHH6B06dIwNzeHn58fLl26pJ4vhMC0adPg4uICc3NzBAUF4e7duzJWTERERCWFrI3M06dP0ahRIxgbG+PgwYOIjIzEggULYGdnp15m/vz5WLp0KVatWoVffvkFlpaWCA4OxosXL2SsnIiIiEoCIzk3Pm/ePLi5uWHDhg3qaV5eXuo/CyGwePFiTJkyBR07dgQAbN68GU5OTti3bx969uyp85qJiIio5JD1iMx3332HOnXqoFu3bnB0dEStWrWwZs0a9fzo6GjExcUhKChIPc3Gxgb169fHuXPn8lxneno6kpOTNV5ERESkn2RtZO7fv4+VK1fC29sbhw8fxogRIzBmzBhs2rQJABAXFwcAcHJy0vick5OTet6/zZkzBzY2NuqXm5tb8f4QREREJBtZG5msrCzUrl0bs2fPRq1atTB06FAMGTIEq1atKvQ6w8LCkJSUpH7FxsYWYcVERERUksjayLi4uMDX11djWpUqVRATEwMAcHZ2BgDEx8drLBMfH6+e92+mpqawtrbWeBEREZF+krWRadSoEW7fvq0x7c6dO/Dw8AAgDfx1dnZGeHi4en5ycjJ++eUXBAQE6LRWIiIiKnlkvWpp3LhxaNiwIWbPno3u3bvjwoUL+Oqrr/DVV18BAFQqFcaOHYtZs2bB29sbXl5emDp1KlxdXdGpUyc5SyciIqISQNZGpm7duti7dy/CwsIwc+ZMeHl5YfHixejTp496mY8//hipqakYOnQoEhMT0bhxYxw6dAhmZmYyVk5EREQlgUoIIeQuojglJyfDxsYGSUlJHC9DesVz0gG5S8CDuW3lLoGI9FRBf3/L/ogCIiIiosJiI0NERESKxUaGiIiIFIuNDBERESkWGxkiIiJSLDYyREREpFhsZIiIiEix2MgQERGRYrGRISIiIsViI0NERESKxUaGiIiIFIuNDBERESkWGxkiIiJSLDYyREREpFhsZIiIiEix2MgQERGRYrGRISIiIsViI0NERESKxUaGiIiIFIuNDBERESkWGxkiIiJSLDYyREREpFhsZIiIiEix2MgQERGRYrGRISIiIsViI0NERESKZVSQhWrVqgWVSlWgFV6+fPmtCiIiIiIqqAI1Mp06dSrmMoiIiIi0V6BGZvr06cVdBxEREZHWCjVGJjExEWvXrkVYWBj+/vtvANIppd9//71IiyMiIiJ6nQIdkfmna9euISgoCDY2Nnjw4AGGDBkCe3t77NmzBzExMdi8eXNx1ElERESUi9ZHZMaPH48BAwbg7t27MDMzU09v06YNTp06VaTFEREREb2O1o3MxYsXMWzYsFzTy5Yti7i4uCIpioiIiKggtG5kTE1NkZycnGv6nTt34ODgUCRFERERERWE1o1Mhw4dMHPmTLx8+RIAoFKpEBMTg08++QQhISFFXiARERFRfrRuZBYsWIBnz57B0dERz58/R5MmTVCxYkWUKlUKn332mVbr+vTTT6FSqTRePj4+6vkvXrzAyJEjUbp0aVhZWSEkJATx8fHalkxERER6SuurlmxsbHD06FGcPn0a165dw7Nnz1C7dm0EBQUVqoCqVavi2LFjOQUZ5ZQ0btw4HDhwAN988w1sbGwwatQodOnSBWfOnCnUtoiIiEi/aN3IxMbGws3NDY0bN0bjxo3fvgAjIzg7O+eanpSUhHXr1mH79u1o3rw5AGDDhg2oUqUKzp8/jwYNGrz1tomIiEjZtD615OnpiSZNmmDNmjV4+vTpWxdw9+5duLq6onz58ujTpw9iYmIAABEREXj58qXGkR4fHx+4u7vj3Llz+a4vPT0dycnJGi8iIiLST1o3MpcuXUK9evUwc+ZMuLi4oFOnTvj222+Rnp6u9cbr16+PjRs34tChQ1i5ciWio6Px3nvvISUlBXFxcTAxMYGtra3GZ5ycnF57mfecOXNgY2Ojfrm5uWldFxERESmD1o1MrVq18PnnnyMmJgYHDx6Eg4MDhg4dCicnJwwaNEirdbVu3RrdunVD9erVERwcjB9//BGJiYnYtWuXtmWphYWFISkpSf2KjY0t9LqIiIioZCvUs5YA6bLrZs2aYc2aNTh27Bi8vLywadOmtyrG1tYWlSpVwr179+Ds7IyMjAwkJiZqLBMfH5/nmJpspqamsLa21ngRERGRfip0I/Po0SPMnz8fNWvWRL169WBlZYXly5e/VTHPnj1DVFQUXFxc4O/vD2NjY4SHh6vn3759GzExMQgICHir7RAREZF+0PqqpdWrV2P79u04c+YMfHx80KdPH+zfvx8eHh5ab3zChAlo3749PDw88PjxY0yfPh2Ghobo1asXbGxsMHjwYIwfPx729vawtrbG6NGjERAQwCuWiIiICEAhGplZs2ahV69eWLp0KWrUqPFWG3/06BF69eqFv/76Cw4ODmjcuDHOnz+vftTBokWLYGBggJCQEKSnpyM4OBgrVqx4q20SERGR/lAJIYQ2HxBCQKVSFVc9RS45ORk2NjZISkrieBnSK56TDshdAh7MbSt3CUSkpwr6+1vrMTIqlQo///wzPvjgAwQEBOD3338HAGzZsgWnT58ufMVEREREWtK6kdm9ezeCg4Nhbm6OX3/9VX3/mKSkJMyePbvICyQiIiLKj9aNzKxZs7Bq1SqsWbMGxsbG6umNGjXC5cuXi7Q4IiIiotfRupG5ffs2AgMDc023sbHJdc8XIiIiouKkdSPj7OyMe/fu5Zp++vRplC9fvkiKIiIiIioIrRuZIUOG4KOPPsIvv/wClUqFx48fY9u2bZgwYQJGjBhRHDUSERER5Unr+8hMmjQJWVlZaNGiBdLS0hAYGAhTU1NMmDABo0ePLo4aiYiIiPKkdSOjUqkwefJkTJw4Effu3cOzZ8/g6+sLMzMzPH78GK6ursVRJxEREVEuWjcy2UxMTODr66t+f/XqVdSuXRuZmZlFUhgRERHRmxT6oZFEREREcmMjQ0RERIrFRoaIiIgUq8BjZK5du/ba+bdv337rYoiIiIi0UeBGpmbNmlCpVMjrYdnZ05X0VGwiIiJSvgI3MtHR0cVZBxEREZHWCtzIeHh4FGcdRERERFrjYF8iIiJSLDYyREREpFhsZIiIiEix2MgQERGRYmndyDx//hxpaWnq9w8fPsTixYtx5MiRIi2MiIiI6E20bmQ6duyIzZs3AwASExNRv359LFiwAB07dsTKlSuLvEAiIiKi/GjdyFy+fBnvvfceAODbb7+Fk5MTHj58iM2bN2Pp0qVFXiARERFRfrRuZNLS0lCqVCkAwJEjR9ClSxcYGBigQYMGePjwYZEXSERERJQfrRuZihUrYt++fYiNjcXhw4fRqlUrAEBCQgKsra2LvEAiIiKi/BT4zr7Zpk2bht69e2PcuHFo0aIFAgICAEhHZ2rVqlXkBRIRERWU56QDcpeAB3Pbyl3CO0XrRqZr165o3Lgx/vjjD9SoUUM9vUWLFujcuXORFkdERET0Olo3MgDg7OwMZ2dnAEBycjJ++uknVK5cGT4+PkVaHBEREdHraD1Gpnv37li2bBkA6Z4yderUQffu3VG9enXs3r27yAskIiIiyo/WjcypU6fUl1/v3bsXQggkJiZi6dKlmDVrVpEXSERERJQfrRuZpKQk2NvbAwAOHTqEkJAQWFhYoG3btrh7926RF0hERESUH60bGTc3N5w7dw6pqak4dOiQ+vLrp0+fwszMrMgLJCIiIsqP1oN9x44diz59+sDKygru7u5o2rQpAOmUk5+fX1HXR0RERJQvrRuZDz/8EPXq1UNsbCxatmwJAwPpoE758uU5RoaIiIh0qlCXX9epUwfVq1dHdHQ0KlSoACMjI7RtyxsAERERkW4V6llLgwcPhoWFBapWrYqYmBgAwOjRozF37txCFzJ37lyoVCqMHTtWPe3FixcYOXIkSpcuDSsrK4SEhCA+Pr7Q2yAiIiL9onUjExYWhqtXr+LEiRMag3uDgoKwc+fOQhVx8eJFrF69GtWrV9eYPm7cOHz//ff45ptvcPLkSTx+/BhdunQp1DaIiIhI/2jdyOzbtw/Lli1D48aNoVKp1NOrVq2KqKgorQt49uwZ+vTpgzVr1sDOzk49PSkpCevWrcPChQvRvHlz+Pv7Y8OGDTh79izOnz+v9XaIiIhI/2jdyPz5559wdHTMNT01NVWjsSmokSNHom3btggKCtKYHhERgZcvX2pM9/Hxgbu7O86dO5fv+tLT05GcnKzxIiIiIv2kdSNTp04dHDiQ83TR7OZl7dq16idhF9SOHTtw+fJlzJkzJ9e8uLg4mJiYwNbWVmO6k5MT4uLi8l3nnDlzYGNjo365ublpVRMREREph9ZXLc2ePRutW7dGZGQkXr16hSVLliAyMhJnz57FyZMnC7ye2NhYfPTRRzh69GiR3kgvLCwM48ePV79PTk5mM0NERKSntD4i07hxY1y9ehWvXr2Cn58fjhw5AkdHR5w7dw7+/v4FXk9ERAQSEhJQu3ZtGBkZwcjICCdPnsTSpUthZGQEJycnZGRkIDExUeNz8fHx6idv58XU1BTW1tYaLyIiItJPWh2RefnyJYYNG4apU6dizZo1b7XhFi1a4Pr16xrTBg4cCB8fH3zyySdwc3ODsbExwsPDERISAgC4ffs2YmJitD6FRURERPpJq0bG2NgYu3fvxtSpU996w6VKlUK1atU0pllaWqJ06dLq6YMHD8b48eNhb28Pa2trjB49GgEBAWjQoMFbb5+Uy3PSgTcvVMwezOUNIImISgKtTy116tQJ+/btK4ZSclu0aBHatWuHkJAQBAYGwtnZGXv27NHJtomIiKjk03qwr7e3N2bOnIkzZ87A398flpaWGvPHjBlT6GJOnDih8d7MzAzLly/H8uXLC71OIiIi0l9aNzLr1q2Dra0tIiIiEBERoTFPpVK9VSNDREREpA2tG5no6OjiqIOIiIhIa1qPkZk5cybS0tJyTX/+/DlmzpxZJEURERERFYTWjcyMGTPw7NmzXNPT0tIwY8aMIimKiIiIqCC0bmSEEHk+U+nq1auwt7cvkqKIiIiICqLAY2Ts7OygUqmgUqlQqVIljWYmMzMTz549w/Dhw4ulSCIiIqK8FLiRWbx4MYQQGDRoEGbMmAEbGxv1PBMTE3h6evKOu0RERKRTBW5k+vfvDwDw8vJCo0aNYGSk9QVPREREREWqwN3Iq1evkJmZiSZNmqinxcfHY9WqVUhNTUWHDh3QuHHjYimSiIiIKC8FbmSGDBkCExMTrF69GgCQkpKCunXr4sWLF3BxccGiRYuwf/9+tGnTptiKJSIiIvqnAl+1dObMGfVTqAFg8+bNyMzMxN27d3H16lWMHz8en3/+ebEUSURERJSXAjcyv//+O7y9vdXvw8PDERISoh70279/f9y4caPoKyQiIiLKR4EbGTMzMzx//lz9/vz586hfv77G/LxulEdERERUXArcyNSsWRNbtmwBAPz888+Ij49H8+bN1fOjoqLg6upa9BUSERER5aPAg32nTZuG1q1bY9euXfjjjz8wYMAAuLi4qOfv3bsXjRo1KpYiiYiIiPJS4EamSZMmiIiIwJEjR+Ds7Ixu3bppzK9Zsybq1atX5AUSERER5Ueru9pVqVIFVapUyXPe0KFDi6QgIiJteE46IHcJeDC3rdwlEL2ztH5oJBEREVFJwUaGiIiIFIuNDBERESkWGxkiIiJSLDYyREREpFhF1sj0799f4wZ5RERERMVNq8uvX6ds2bIwMOABHiIiItKdImtkZs+eXVSrIiIiIiqQImtkqPjxxl9ERESatG5kxo8fn+d0lUoFMzMzVKxYER07doS9vf1bF0dERET0Olo3Mr/++isuX76MzMxMVK5cGQBw584dGBoawsfHBytWrMB//vMfnD59Gr6+vkVeMBEREVE2rUfnduzYEUFBQXj8+DEiIiIQERGBR48eoWXLlujVqxd+//13BAYGYty4ccVRLxEREZGa1o3M559/jv/973+wtrZWT7OxscGnn36K+fPnw8LCAtOmTUNERESRFkpERET0b1o3MklJSUhISMg1/c8//0RycjIAwNbWFhkZGW9fHREREdFrFOrU0qBBg7B37148evQIjx49wt69ezF48GB06tQJAHDhwgVUqlSpqGslIiIi0qD1YN/Vq1dj3Lhx6NmzJ169eiWtxMgI/fv3x6JFiwAAPj4+WLt2bdFWSkRERPQvWjcyVlZWWLNmDRYtWoT79+8DAMqXLw8rKyv1MjVr1iyyAomIiIjyo/Wppa1btyItLQ1WVlaoXr06qlevrtHEaGPlypWoXr06rK2tYW1tjYCAABw8eFA9/8WLFxg5ciRKly4NKysrhISEID4+vlDbIiIiIv2jdSMzbtw4ODo6onfv3vjxxx+RmZlZ6I2XK1cOc+fORUREBC5duoTmzZujY8eOuHHjhnpb33//Pb755hucPHkSjx8/RpcuXQq9PSIiItIvWjcyf/zxB3bs2AGVSoXu3bvDxcUFI0eOxNmzZ7XeePv27dGmTRt4e3ujUqVK+Oyzz2BlZYXz588jKSkJ69atw8KFC9G8eXP4+/tjw4YNOHv2LM6fP6/1toiIiEj/aN3IGBkZoV27dti2bRsSEhKwaNEiPHjwAM2aNUOFChUKXUhmZiZ27NiB1NRUBAQEICIiAi9fvkRQUJB6GR8fH7i7u+PcuXP5ric9PR3JyckaLyIiItJPb/XQSAsLCwQHB+Pp06d4+PAhbt68qfU6rl+/joCAALx48QJWVlbYu3cvfH19ceXKFZiYmMDW1lZjeScnJ8TFxeW7vjlz5mDGjBla10FERETKo/URGQBIS0vDtm3b0KZNG5QtWxaLFy9G586d1WNbtFG5cmVcuXIFv/zyC0aMGIH+/fsjMjKyMGUBAMLCwpCUlKR+xcbGFnpdREREVLJpfUSmZ8+e+OGHH2BhYYHu3btj6tSpCAgIKHQBJiYmqFixIgDA398fFy9exJIlS9CjRw9kZGQgMTFR46hMfHw8nJ2d812fqakpTE1NC10PERERKYfWR2QMDQ2xa9cu/PHHH1i2bJlGE/Pbb7+9dUFZWVlIT0+Hv78/jI2NER4erp53+/ZtxMTEvFXjRERERPpD6yMy27Zt03ifkpKCr7/+GmvXrkVERIRWl2OHhYWhdevWcHd3R0pKCrZv344TJ07g8OHDsLGxweDBgzF+/HjY29vD2toao0ePRkBAABo0aKBt2URERKSHCj3Y99SpU1i3bh12794NV1dXdOnSBcuXL9dqHQkJCejXrx/++OMP2NjYoHr16jh8+DBatmwJAFi0aBEMDAwQEhKC9PR0BAcHY8WKFYUtmYiIiPSMVo1MXFwcNm7ciHXr1iE5ORndu3dHeno69u3bB19fX603vm7dutfONzMzw/Lly7VukIiIiOjdUOAxMu3bt0flypVx7do1LF68GI8fP8aXX35ZnLURERERvVaBj8gcPHgQY8aMwYgRI+Dt7V2cNREREREVSIGPyJw+fRopKSnw9/dH/fr1sWzZMjx58qQ4ayMiIiJ6rQIfkWnQoAEaNGiAxYsXY+fOnVi/fj3Gjx+PrKwsHD16FG5ubihVqlRx1vpWqk0/DANTi0J99sHctkVcDRFR0fKcdEDuEvhvJclC6/vIWFpaYtCgQTh9+jSuX7+O//znP5g7dy4cHR3RoUOH4qiRiIiIKE+FekRBtsqVK2P+/Pl49OgRvv7666KqiYiIiKhA3qqRyWZoaIhOnTrhu+++K4rVERERERVIkTQyRERERHJgI0NERESKxUaGiIiIFIuNDBERESkWGxkiIiJSLDYyREREpFhsZIiIiEix2MgQERGRYrGRISIiIsUq8EMjiYiISBnepYeI8ogMERERKRYbGSIiIlIsNjJERESkWGxkiIiISLHYyBAREZFisZEhIiIixWIjQ0RERIrFRoaIiIgUi40MERERKRYbGSIiIlIsNjJERESkWGxkiIiISLHYyBAREZFisZEhIiIixWIjQ0RERIrFRoaIiIgUi40MERERKRYbGSIiIlIsWRuZOXPmoG7duihVqhQcHR3RqVMn3L59W2OZFy9eYOTIkShdujSsrKwQEhKC+Ph4mSomIiKikkTWRubkyZMYOXIkzp8/j6NHj+Lly5do1aoVUlNT1cuMGzcO33//Pb755hucPHkSjx8/RpcuXWSsmoiIiEoKIzk3fujQIY33GzduhKOjIyIiIhAYGIikpCSsW7cO27dvR/PmzQEAGzZsQJUqVXD+/Hk0aNBAjrKJiIiohChRY2SSkpIAAPb29gCAiIgIvHz5EkFBQeplfHx84O7ujnPnzuW5jvT0dCQnJ2u8iIiISD+VmEYmKysLY8eORaNGjVCtWjUAQFxcHExMTGBra6uxrJOTE+Li4vJcz5w5c2BjY6N+ubm5FXfpREREJJMS08iMHDkSv/32G3bs2PFW6wkLC0NSUpL6FRsbW0QVEhERUUkj6xiZbKNGjcIPP/yAU6dOoVy5curpzs7OyMjIQGJiosZRmfj4eDg7O+e5LlNTU5iamhZ3yURERFQCyHpERgiBUaNGYe/evfjpp5/g5eWlMd/f3x/GxsYIDw9XT7t9+zZiYmIQEBCg63KJiIiohJH1iMzIkSOxfft27N+/H6VKlVKPe7GxsYG5uTlsbGwwePBgjB8/Hvb29rC2tsbo0aMREBDAK5aIiIhI3kZm5cqVAICmTZtqTN+wYQMGDBgAAFi0aBEMDAwQEhKC9PR0BAcHY8WKFTqulIiIiEoiWRsZIcQblzEzM8Py5cuxfPlyHVRERERESlJirloiIiIi0hYbGSIiIlIsNjJERESkWGxkiIiISLHYyBAREZFisZEhIiIixWIjQ0RERIrFRoaIiIgUi40MERERKRYbGSIiIlIsNjJERESkWGxkiIiISLHYyBAREZFisZEhIiIixWIjQ0RERIrFRoaIiIgUi40MERERKRYbGSIiIlIsNjJERESkWGxkiIiISLHYyBAREZFisZEhIiIixWIjQ0RERIrFRoaIiIgUi40MERERKRYbGSIiIlIsNjJERESkWGxkiIiISLHYyBAREZFisZEhIiIixWIjQ0RERIrFRoaIiIgUi40MERERKRYbGSIiIlIsNjJERESkWLI2MqdOnUL79u3h6uoKlUqFffv2acwXQmDatGlwcXGBubk5goKCcPfuXXmKJSIiohJH1kYmNTUVNWrUwPLly/OcP3/+fCxduhSrVq3CL7/8AktLSwQHB+PFixc6rpSIiIhKIiM5N966dWu0bt06z3lCCCxevBhTpkxBx44dAQCbN2+Gk5MT9u3bh549e+qyVCIiIiqBSuwYmejoaMTFxSEoKEg9zcbGBvXr18e5c+fy/Vx6ejqSk5M1XkRERKSfSmwjExcXBwBwcnLSmO7k5KSel5c5c+bAxsZG/XJzcyvWOomIiEg+JbaRKaywsDAkJSWpX7GxsXKXRERERMWkxDYyzs7OAID4+HiN6fHx8ep5eTE1NYW1tbXGi4iIiPRTiW1kvLy84OzsjPDwcPW05ORk/PLLLwgICJCxMiIiIiopZL1q6dmzZ7h37576fXR0NK5cuQJ7e3u4u7tj7NixmDVrFry9veHl5YWpU6fC1dUVnTp1kq9oIiIiKjFkbWQuXbqEZs2aqd+PHz8eANC/f39s3LgRH3/8MVJTUzF06FAkJiaicePGOHToEMzMzOQqmYiIiEoQWRuZpk2bQgiR73yVSoWZM2di5syZOqyKiIiIlKLEjpEhIiIiehM2MkRERKRYbGSIiIhIsdjIEBERkWKxkSEiIiLFYiNDREREisVGhoiIiBSLjQwREREpFhsZIiIiUiw2MkRERKRYbGSIiIhIsdjIEBERkWKxkSEiIiLFYiNDREREisVGhoiIiBSLjQwREREpFhsZIiIiUiw2MkRERKRYbGSIiIhIsdjIEBERkWKxkSEiIiLFYiNDREREisVGhoiIiBSLjQwREREpFhsZIiIiUiw2MkRERKRYbGSIiIhIsdjIEBERkWKxkSEiIiLFYiNDREREisVGhoiIiBSLjQwREREpFhsZIiIiUiw2MkRERKRYimhkli9fDk9PT5iZmaF+/fq4cOGC3CURERFRCVDiG5mdO3di/PjxmD59Oi5fvowaNWogODgYCQkJcpdGREREMivxjczChQsxZMgQDBw4EL6+vli1ahUsLCywfv16uUsjIiIimZXoRiYjIwMREREICgpSTzMwMEBQUBDOnTsnY2VERERUEhjJXcDrPHnyBJmZmXByctKY7uTkhFu3buX5mfT0dKSnp6vfJyUlAQCy0tMKXUdycnKhP1uU3uZnKColIQvmIGEOEuYgYQ4S5iDRhxyyPy+EeP2CogT7/fffBQBx9uxZjekTJ04U9erVy/Mz06dPFwD44osvvvjiiy89eMXGxr62VyjRR2TKlCkDQ0NDxMfHa0yPj4+Hs7Nznp8JCwvD+PHj1e8TExPh4eGBmJgY2NjYFGu9JVlycjLc3NwQGxsLa2trucuRDXOQMAcJc8jBLCTMQVISchBCICUlBa6urq9drkQ3MiYmJvD390d4eDg6deoEAMjKykJ4eDhGjRqV52dMTU1hamqaa7qNjc07vVNms7a2Zg5gDtmYg4Q55GAWEuYgkTuHghyAKNGNDACMHz8e/fv3R506dVCvXj0sXrwYqampGDhwoNylERERkcxKfCPTo0cP/Pnnn5g2bRri4uJQs2ZNHDp0KNcAYCIiInr3lPhGBgBGjRqV76mkNzE1NcX06dPzPN30LmEOEuYgYQ4S5pCDWUiYg0RJOaiEeNN1TUREREQlU4m+IR4RERHR67CRISIiIsViI0NERESKxUaGiIiIFEsRVy1pKykpCXFxcQAAZ2fnd/qOvtnPnVLCyPPiwv1Bwhxy8HuRg1lImINEiTno1RGZtWvXwtfXF/b29vD19dX487p16+QuT2eOHj2KNm3awM7ODhYWFrCwsICdnR3atGmDY8eOyV2eznB/kDAHCb8XOZiFhDlIlJ6D3hyR+fzzz/Hpp59izJgxCA4OVt8wLz4+HkeOHMFHH32Ep0+fYsKECTJXWrw2bdqE0NBQdO3aFYsWLcqVQ5s2bbBu3Tr07dtX5kqLF/cHCXOQ8HuRg1lImINEL3IomudUy8/d3V3s3Lkz3/k7duwQbm5uOqxIHt7e3mLZsmX5zl++fLmoWLGiDiuSB/cHCXOQ8HuRg1lImINEH3LQm1NLCQkJ8PPzy3e+n58fnjx5osOK5BETE4OgoKB857do0QKPHj3SYUXy4P4gYQ4Sfi9yMAsJc5DoQw5608jUrVsXc+fOxatXr3LNy8zMxLx581C3bl0ZKtOtqlWrvnbcw/r16+Hr66vDiuTB/UHCHCT8XuRgFhLmINGHHPTmEQXXrl1DcHAwXr58icDAQI3zfKdOnYKJiQmOHDmCatWqyVxp8Tpx4gTatWuH8uXLIygoSCOH8PBw3L9/HwcOHEBgYKDMlRYv7g8S5iDh9yIHs5AwB4k+5KA3jQwApKSkYOvWrTh//rzGZaYBAQHo3bs3rK2tZa5QNx48eICVK1fmmcPw4cPh6ekpb4E6wv1Bwhwk/F7kYBYS5iBReg561cgQERHRu0VvLr/OFhcXh19++UXdVbq4uKBevXpwdnaWuTLdevXqFW7cuKGRQ5UqVWBsbCxzZbrF/UHCHCT8XuRgFhLmIFF0DnJeMlWUnj17Jvr06SMMDQ2FkZGRcHR0FI6OjsLIyEgYGhqKDz74QKSmpspdZrHLzMwUkydPFra2tkKlUmm8bG1txZQpU0RmZqbcZRY77g8S5iDh9yIHs5AwB4k+5KA3jczgwYOFt7e3OHTokHj16pV6+qtXr8Thw4dFpUqVRGhoqIwV6sbEiROFg4ODWLVqlYiOjhZpaWkiLS1NREdHi9WrVwtHR0fx8ccfy11mseP+IGEOEn4vcjALCXOQ6EMOetPI2NraijNnzuQ7//Tp08LW1laHFcnDyclJHDp0KN/5hw4dEo6OjjqsSB7cHyTMQcLvRQ5mIWEOEn3IQW/uI5OVlQUTE5N855uYmCArK0uHFckjJSUFrq6u+c53cXFBamqqDiuSB/cHCXOQ8HuRg1lImINEH3LQm0amXbt2GDp0KH799ddc83799VeMGDEC7du3l6Ey3WratCkmTJiQ591anzx5gk8++QRNmzbVfWE6xv1Bwhwk/F7kYBYS5iDRhxz05vLrp0+fonfv3jh8+DDs7Ozg6OgIQLpFe2JiIoKDg7F9+3bY2trKW2gxi42NRZs2bXDr1i34+flp3Nzo+vXr8PX1xQ8//AA3NzeZKy1e3B8kzEHC70UOZiFhDhJ9yEFvGplst27dwrlz53Ld1MfHx0fmynQnKysLhw8fzvPmRq1atYKBgd4ciHsj7g8S5sDvxT8xCwlzkCg9B71rZIiIiOjdUbLbLCIiIqLX0MtGxsDAAFWrVtWYVqVKFRgaGspUkTy8vLzQsmVLjWlBQUEoX768TBXJg/uDhDlI+L3IwSwkzEGi1Bz07hEFgPTY8X8PXpwzZw6SkpLkKUgm/fv3h4ODg8a0zp075zk6XZ9xf5AwBwm/FzmYhYQ5SJSaA8fIEBERkWLp5aklAEhPT0d6errcZVAJwf1BwhyISN/oVSNz9OhRtGnTBnZ2drCwsICFhQXs7OzQpk0bHDt2TO7ydCYyMhIffvghatWqBRcXF7i4uKBWrVr48MMPERkZKXd5OsP9QcIcJPxe5GAWEuYgUXoOenNqadOmTQgNDUXXrl0RHByscVOfI0eO4Ntvv8W6devQt29fmSstXgcPHkSnTp1Qu3btXDkcPXoUERER2L9/P4KDg2WutHhxf5AwBwm/FzmYhYQ5SPQiB7ke8lTUvL29xbJly/Kdv3z5clGxYkUdViSP6tWri6lTp+Y7f/r06cLPz0+HFcmD+4OEOUj4vcjBLCTMQaIPOehNI2Nqaipu3bqV7/xbt24JMzMzHVYkDzMzM+YguD9kYw4Sfi9yMAsJc5DoQw56M0amatWqWLduXb7z169fD19fXx1WJA9PT08cOHAg3/kHDhyAh4eHDiuSB/cHCXOQ8HuRg1lImINEH3LQm/vILFiwAO3atcOhQ4cQFBSkcZ4vPDwc9+/ff+1flr6YOXMmevfujRMnTuSZw6FDh7B9+3aZqyx+3B8kzEHC70UOZiFhDhJ9yEFvBvsCwIMHD7By5co8H3w1fPhweHp6ylugjpw9exZLly7N8yGBH330EQICAmSuUDe4P0iYg4TfixzMQsIcJErPQa8aGSIiInq36M2ppWyvXr3CjRs31F2li4sLqlSpAmNjY5kr072kpCSN7trGxkbminSP+4OEOeTg9yIHs5AwB4lic5B3rHHRyczMFJMnTxa2trZCpVJpvGxtbcWUKVNEZmam3GXqxJo1a0SVKlWEgYGBMDAwECqVShgYGIgqVaqItWvXyl2eTnB/kDCHHPxe5GAWEuYgUXoOetPITJw4UTg4OIhVq1aJ6OhokZaWJtLS0kR0dLRYvXq1cHR0FB9//LHcZRa7+fPnCwsLCzFp0iRx/PhxERkZKSIjI8Xx48dFWFiYsLS0FJ9//rncZRY77g8S5iDh9yIHs5AwB4k+5KA3jYyTk5M4dOhQvvMPHTokHB0ddViRPNzd3cXOnTvznb9jxw7h5uamw4rkwf1Bwhwk/F7kYBYS5iDRhxz05j4yKSkpcHV1zXe+i4sLUlNTdViRPBISEuDn55fvfD8/vxL/SPaiwP1Bwhwk/F7kYBYS5iDRhxz0ppFp2rQpJkyYkGfgT548wSeffIKmTZvqvjAdq1u3LubOnYtXr17lmpeZmYl58+ahbt26MlSmW9wfJMxBwu9FDmYhYQ4SfchBby6/jo2NRZs2bXDr1i34+flp3NTn+vXr8PX1xQ8//AA3NzeZKy1e165dQ3BwMF6+fInAwECNHE6dOgUTExMcOXIE1apVk7nS4sX9QcIcJPxe5GAWEuYg0Ycc9KaRAYCsrCwcPnw4zxt/tWrVCgYGenMA6rVSUlKwdevWPHPo3bs3rK2tZa5QN7g/SJiDhN+LHMxCwhwkSs9BrxoZIiIiere8G/8VIyIiIr2kl42Ml5cXWrZsqTEtKCgI5cuXl6kieTRr1gwDBgzQmNa/f380b95cnoJkwv1Bwhwk/F7kYBYS5iBRag5694gCQArewcFBY1rnzp1L/CVkRc3T0xMuLi4a08qWLfvOjInIxv1Bwhwk/F7kYBYS5iBRag4cI0NERESKVbLbLCIiIqLX0KtTS5GRkVi2bBnOnTuX6xKyUaNGwdfXV+YKdePJkydYv359rhwaNmyIAQMG5Dq9oK+4P0iYg4TfixzMQsIcJErPQW9OLR08eBCdOnVC7dq1ERwcrHFTn6NHjyIiIgL79+9HcHCwzJUWr4sXLyI4OBgWFhYICgrSyCE8PBxpaWk4fPgw6tSpI3OlxYv7g4Q5SPi9yMEsJMxBohc5yPWQp6JWvXp1MXXq1HznT58+Xfj5+emwInnUr19fDB06VGRlZeWal5WVJYYOHSoaNGggQ2W6xf1Bwhwk/F7kYBYS5iDRhxz0ppExMzMTt27dynf+rVu3hJmZmQ4rkoeZmZm4efNmvvNv3rz5zuTA/YE5ZOP3IgezkDAHiT7koDeDfT09PXHgwIF85x84cAAeHh46rEgezs7OuHDhQr7zL1y4oD50qM+4P0iYg4TfixzMQsIcJPqQg94M9p05cyZ69+6NEydO5Hme79ChQ9i+fbvMVRa/CRMmYOjQoYiIiECLFi1y5bBmzRp88cUXMldZ/Lg/SJiDhN+LHMxCwhwkepGD3IeEitKZM2dEjx49hLu7uzAxMREmJibC3d1d9OjRQ5w9e1bu8nRmx44don79+sLIyEioVCqhUqmEkZGRqF+/vti5c6fc5ekM9wcJc5Dwe5GDWUiYg0TpOejNVUuU28uXL9V3bS1TpgyMjY1lrohIfvxe5GAWEuYgUWoOetnIJCUlaVwLb2NjI3NF8klPTwcAmJqaylyJfLg/SJhDDn4vcjALCXOQKDEHvRnsCwBr166Fr68v7O3t4evriypVqqj/vG7dOrnL05mjR4+iTZs2sLOzg4WFBSwsLGBnZ4c2bdrg2LFjcpenM9wfJMxBwu9FDmYhYQ4SpeegN4N9P//8c3z66acYM2ZMrht/HTlyBB999BGePn2KCRMmyFxp8dq0aRNCQ0PRtWtXLFq0KFcObdq0wbp169C3b1+ZKy1e3B8kzEHC70UOZiFhDhK9yEHeITpFx93d/bWDknbs2CHc3Nx0WJE8vL29xbJly/Kdv3z5clGxYkUdViQP7g8S5iDh9yIHs5AwB4k+5KA3p5YSEhLg5+eX73w/Pz/1ICZ9FhMTg6CgoHznt2jRAo8ePdJhRfLg/iBhDhJ+L3IwCwlzkOhDDnrTyNStWxdz587Fq1evcs3LzMzEvHnzULduXRkq062qVau+dtzD+vXr34mHBHJ/kDAHCb8XOZiFhDlI9CEHvblq6dq1awgODsbLly8RGBiocZ7v1KlTMDExwZEjR1CtWjWZKy1eJ06cQLt27VC+fPk8b4B2//59HDhwAIGBgTJXWry4P0iYg4TfixzMQsIcJPqQg940MgCQkpKCrVu34vz58xqXmQYEBKB3796wtraWuULdePDgAVauXJlnDsOHD4enp6e8BeoI9wcJc5Dwe5GDWUiYg0TpOehVI0NERETvFr0ZI0NERETvHjYyREREpFhsZIiIiEix2MgQERGRYrGRISIi+n/R0dF53neJSi69amSuXr2Kfv36oXz58jA3N4elpSX8/PwwdepUJCcny12ezkRGRuLDDz9ErVq14OLiAhcXF9SqVQsffvghIiMj5S6vRIiKikLz5s3lLkN271IOf/zxB7Zu3Yoff/wRGRkZGvNSU1Mxc+ZMmSrTvaNHj2L69On46aefAACnTp1C69at0bx5c2zYsEHm6uRVuXJl3L17V+4ydKZ9+/bYsmULnj9/LncphaY3l18fPnwYnTt3Rps2bWBubo49e/Zg0KBBsLS0xO7duyGEwOnTp+Hs7Cx3qcXq4MGD6NSpE2rXrp3rIYFHjx5FREQE9u/fj+DgYJkrldfVq1dRu3ZtZGZmyl2KrN6VHC5evIhWrVohKysLL1++RNmyZbFv3z5UrVoVgPT9cHV11fscAGDr1q0YOHAgqlevjjt37uDLL7/EuHHj0LVrV2RlZWHr1q3Ytm0bunbtKnepxapLly55Tt+/fz+aN2+OUqVKAQD27Nmjy7J0zsDAAIaGhrC0tESvXr0QGhoKf39/ucvSit40MrVq1cKwYcMwfPhwANL/OMaMGYObN2/i5cuXaN26Ndzc3PT+fxs1atRAx44d8/3f5aeffoo9e/bg2rVrOq5Mt5YuXfra+b///ju++OILvf/FxRwkLVu2hJubG9auXYvU1FR88skn2LVrF44ePYpatWq9U41MrVq1MHDgQIwZMwbh4eFo3749PvvsM4wbNw4AsGDBAuzduxenT5+WudLiZWBggMDAQHh5eWlM37x5Mzp06ABbW1sA0PvfGQYGBvjtt99w5MgRrF+/Hjdu3ICfnx9CQ0PRp08f2NnZyV3im8n0sMoiZ2ZmJqKjo9Xvs7KyhLGxsXj8+LEQQohTp04JBwcHmarTHTMzM3Hr1q1859+6dUuYmZnpsCJ5qFQq4erqKjw9PfN8ubq6CgMDA7nLLHbMQWJnZydu376tMW3OnDnCzs5OXLhwQcTFxb0TOQghhKWlpbh//776vbGxsbh69ar6/c2bN0Xp0qXlKE2nvv76a1GuXDmxfv16jelGRkbixo0bMlWleyqVSsTHx6vf//LLL2Lo0KHCxsZGmJubi169eonw8HAZK3wzvRkjU7ZsWdy+fVv9PioqCllZWShdujQAoFy5cnj27Jlc5emMp6cnDhw4kO/8AwcOwMPDQ4cVycPDwwOLFi1CdHR0nq/XZaRPmEOOFy9eaLyfNGkS/vvf/6JVq1Y4e/asTFXpnrGxscYYIVNTU1hZWWm8V/J4iYLq2bMnfv75Z6xbtw4hISF4+vSp3CWVCPXq1cPq1avx+PFjrFixArGxsWjZsqXcZb2WkdwFFJV+/fohNDQUkydPhqmpKRYuXIgOHTrAxMQEAHDlypVchxD10cyZM9G7d2+cOHEizweAHTp0CNu3b5e5yuLn7++PiIgIdO/ePc/5KpUKQj/Oqr4Wc5BUq1YNZ8+eRfXq1TWmT5gwAVlZWejVq5dMlelexYoVcevWLVSuXBmAdHoxezwIIP0nsFy5cnKVp1Oenp44deoUZsyYgRo1amDNmjVQqVRyl1UiWFhYYMCAARgwYADu3LkjdzmvJ/choaLy8uVL8fHHHwtXV1dRunRp0bt3b/Hnn3+q5//yyy/i5MmTMlaoO2fOnBE9evQQ7u7uwsTERJiYmAh3d3fRo0cPcfbsWbnL04kbN26Iixcv5js/IyNDPHjwQIcVyYM5SNasWSM++OCDfOfPnTtXeHp66rAi+ezZs+e1/xbOmTNHTJkyRYcVlQw///yz8PLyEgYGBu/UqaWmTZuKp0+fyl3GW9Gbwb5ERERv49mzZ4iKioKPjw9MTU3lLocKSG9OLdHrCSGQlZUFQ0NDuUuR1bucQ1JSEuLi4gAAzs7OsLGxkbkieTCHHMxC8s8cPD0939kmRqn7g94M9gWAH3/8EaGhofj4449x8+ZNjXlPnz59J2789erVK0yZMgVNmjTB9OnTAQCff/45rKysYGFhgf79++e6GZg+Yg451q5dC19fX9jb28PX11fjz+vWrZO7PJ1hDjmYheTfOVSpUoU5KHF/kPfMVtHZtm2bMDQ0FG3bthWNGzcWZmZmYuvWrer578rllVOmTBFOTk5i/PjxwtfXVwwfPly4ubmJrVu3ik2bNomyZcuKefPmyV1msWMOkvnz5wsLCwsxadIkcfz4cREZGSkiIyPF8ePHRVhYmLC0tBSff/653GUWO+aQg1lImINEH3LQm0amZs2aYsmSJer3O3fuFJaWlmLt2rVCiHenkSlfvrz4/vvvhRBC3L17VxgYGIgdO3ao5+/cuVNUq1ZNrvJ0hjlI3N3dxc6dO/Odv2PHDuHm5qbDiuTBHHIwCwlzkOhDDnozRubu3bto3769+n337t3h4OCADh064OXLl+jcubOM1enO48ePUaNGDQDSZZYmJibq9wBQt25dPHz4UK7ydIY5SBISEuDn55fvfD8/Pzx58kSHFcmDOeRgFhLmINGHHPRmjIy1tTXi4+M1pjVr1gw//PADJk6ciC+//FKmynTLxsYGiYmJ6ve1a9fWuEdEenr6O3GfBOYgqVu3LubOnZvn03wzMzMxb9481K1bV4bKdIs55GAWEuYg0Ycc9OaITL169XDw4EE0aNBAY3qTJk3w/fffo127djJVplu+vr64fPmyusM+c+aMxvzr16/D29tbjtJ0ijlIli1bhuDgYDg7OyMwMFDjBomnTp2CiYkJjhw5InOVxY855GAWEuYg0Ycc9OY+MidPnsTZs2cRFhaW5/zjx49j8+bNev8AsDt37sDY2Djfuxhv374dRkZG+d7pVV8whxwpKSnYunUrzp8/r3FpZUBAAHr37g1ra2uZK9QN5pCDWUiYg0TpOehNI0NERETvHr0ZI5OXtm3b4o8//pC7DNkxBwlzkDAHCXPIwSwkzEGitBz0upE5derUO/EU1zdhDhLmIGEOEuaQg1lImINEaTnodSNDRERE+k2vGxkPDw8YGxvLXYbsmIOEOUiYg4Q55GAWEuYgUVoOHOxLREREiqV3R2SysrLynR4TE6PjauTDHCTM4fVSU1Nx6tQpucuQHXPIwSwkzEGihBz0ppFJTk5G9+7dYWlpCScnJ0ybNg2ZmZnq+X/++We+9xTRJ8xBwhwK5t69e2jWrJncZciOOeRgFhLmIFFCDnpzZ9+pU6fi6tWr2LJlCxITEzFr1ixcvnwZe/bsgYmJCQDgXTiLxhwkzIGI6N2gN2NkPDw8sGnTJjRt2hQA8OTJE7Rt2xa2trb47rvvkJiYCFdXV43/lesj5iBhDhJ7e/vXzs/MzMSzZ8+YwzuSA8AssjEHiT7koDeNjIWFBW7cuKFxuiAlJQXBwcEwNzfH2rVrUbFixRL9l1EUmIOEOUgsLS0xYsSIfJ9u+/DhQ8yYMYM5vCM5AMwiG3OQ6EUOQk9UrlxZHDhwINf0lJQUERAQIGrUqCEMDAxkqEy3mIOEOUgaNmwoFi9enO/8K1euMAfx7uQgBLPIxhwk+pCD3gz2bdWqVZ4PhLSyssLhw4dhZmYmQ1W6xxwkzEHStm1bJCYm5jvf3t4e/fr1011BMmEOOZiFhDlI9CEHvTm19PTpUzx+/BhVq1bNc35KSgouX76MJk2a6Lgy3WIOEuZARPRu0JtGhoiIiN49enP59ZvEx8dj9erVmDZtmtylyIo5SN6lHDIyMrBv3z6cO3cOcXFxAABnZ2c0bNgQHTt2VF+Oru+YQw5mIWEOEqXn8M4ckbl69Spq165dskde6wBzkLwrOdy7dw/BwcF4/Pgx6tevDycnJwBSI/fLL7+gXLlyOHjwICpWrChzpcWLOeRgFhLmINGHHPSmkbl27dpr59+6dQu9evXS+19czEHCHCQtW7aEpaUlNm/eDGtra415ycnJ6NevH54/f47Dhw/LVKFuMIcczELCHCT6kIPeNDIGBgZQqVR53q01e7pKpdL7X1zMQcIcJBYWFrhw4QKqVauW5/zr16+jfv36SEtL03FlusUccjALCXOQ6EMOenP5tb29PdasWYPo6Ohcr/v37+OHH36Qu0SdYA4S5iCxtbXFgwcP8p3/4MED2Nra6qweuTCHHMxCwhwk+pCD3gz29ff3x+PHj+Hh4ZHn/MTExHfi2TrMQcIcJKGhoejXrx+mTp2KFi1aaJz/Dg8Px6xZszB69GiZqyx+zCEHs5AwB4le5KDjG/AVmz179ogtW7bkO//vv/8WGzdu1GFF8mAOEuaQY+7cucLFxUWoVCphYGAgDAwMhEqlEi4uLmLevHlyl6czzCEHs5AwB4nSc9CbMTJE9HrR0dEal1b+8zlU7xLmkINZSJiDRKk56M0YmbycOXMG6enpcpchO+Ygeddz8PLyQkBAALKysuDq6ip3ObJhDjmYhYQ5SJSag14fkbG2tsaVK1dQvnx5uUuRFXOQMAcJc5AwhxzMQsIcJErLQa+PyOhxj6YV5iBhDhLmIGEOOZiFhDlIlJaDXjcyREREpN/0upFZvXq1+lKydxlzkDAHCXOQMIcczELCHCRKy0Gvx8gQUd5OnDiB+vXrw9zcXO5SZMUccjALCXOQKCkHvTois3btWvTv3x8bNmwAAOzcuRNVqlRB+fLlMX36dJmr0x3mIGEO+WvVqtVr7+b5rmAOOZiFhDlIlJSD3tzZd/HixZgyZQqCg4MxefJkPH78GIsWLcK4ceOQmZmJBQsWoGzZshg6dKjcpRYr5iBhDpLatWvnOf3Vq1cICQmBmZkZAODy5cu6LEvnmEMOZiFhDhJ9yEFvGpnVq1fjq6++Qu/evfHrr7+iXr16WLVqFQYPHgwAKFu2LFauXKn3v7iYg4Q5SK5fv46goCA0aNBAPU0IgatXr6JZs2ZwdHSUsTrdYQ45mIWEOUj0Igcd30m42Jibm4uHDx+q35uamorffvtN/f7u3bvC1tZWjtJ0ijlImIPk9OnTokKFCmLatGkiMzNTPd3IyEjcuHFDxsp0iznkYBYS5iDRhxz0ZoyMhYUFUlNT1e8dHBxgZWWlscyrV690XZbOMQcJc5A0atQIERERuHPnDho2bIioqCi5S5IFc8jBLCTMQaIPOehNI+Pj44Nr166p38fGxmo8+fjWrVvw9PSUoTLdYg4S5pDDxsYGX3/9NYYNG4bGjRvjq6++gkqlkrssnWMOOZiFhDlIlJ6D3oyRmTdvHiwtLfOdHxMTg2HDhumwInkwBwlzyG3gwIFo3Lgx+vTp804cjcoPc8jBLCTMQaLUHHgfGaJ3TFZWFlJSUmBtba2o/3UVNeaQg1lImINEaTmwkSEiIiLF0psxMgCwYsUKBAUFoXv37ggPD9eY9+TJE8U8yfNtMQcJc5AwBwlzyMEsJMxBovQc9KaRWbp0KSZOnAgfHx+YmpqiTZs2mDNnjnp+ZmYmHj58KGOFusEcJMxBwhwkzCEHs5AwB4le5CDv1d9Fx9fXV2zbtk39/syZM8LBwUFMnTpVCCFEXFycMDAwkKs8nWEOEuYgYQ4S5pCDWUiYg0QfctCbRsbc3FxER0drTLt+/bpwcnISkyZNUsRfRlFgDhLmIGEOEuaQg1lImINEH3LQm8uvy5Qpg9jYWI17g1SrVg0//fQTmjdvjsePH8tXnA4xBwlzkDAHCXPIwSwkzEGiDznozRiZxo0bY8+ePbmm+/r6Ijw8HAcPHpShKt1jDhLmIGEOEuaQg1lImINEH3LQmyMykyZNQkRERJ7zqlatip9++gm7d+/WcVW6xxwkzEHCHCTMIQezkDAHiT7kwPvIEBERkWLpzRGZbBcuXMC5c+cQFxcHAHB2dkZAQADq1asnc2W6xRwkzEHCHCTMIQezkDAHiaJzkHu0cVGJj48XjRo1EiqVSnh4eIh69eqJevXqCQ8PD6FSqUTjxo1FfHy83GUWO+YgYQ4S5iBhDjmYhYQ5SPQhB71pZEJCQkRAQIC4detWrnm3bt0SDRs2FF27dpWhMt1iDhLmIGEOEuaQg1lImINEH3LQm0bGyspKXL58Od/5ly5dElZWVjqsSB7MQcIcJMxBwhxyMAsJc5DoQw56c/m1qakpkpOT852fkpICU1NTHVYkD+YgYQ4S5iBhDjmYhYQ5SPQiB7k7qaLy4YcfCg8PD7Fnzx6RlJSknp6UlCT27NkjPD09xahRo2SsUDeYg4Q5SJiDhDnkYBYS5iDRhxz0ppF58eKFGD58uDAxMREGBgbCzMxMmJmZCQMDA2FiYiJGjBghXrx4IXeZxY45SJiDhDlImEMOZiFhDhJ9yEHv7iOTnJyMiIgIjUvI/P39YW1tLXNlusUcJMxBwhwkzCEHs5AwB4mSc9C7RoaIiIjeHXoz2BcAnj9/jtOnTyMyMjLXvBcvXmDz5s0yVKV7zEHCHCTMQcIccjALCXOQKD4Hec9sFZ3bt2+rb+BjYGAgAgMDxe+//66er4RHkRcF5iBhDhLmIGEOOZiFhDlI9CEHvTki88knn6BatWpISEjA7du3UapUKTRu3BgxMTFyl6ZTzEHCHCTMQcIccjALCXOQ6EUOcndSRcXR0VFcu3ZN/T4rK0sMHz5cuLu7i6ioKEV0lUWBOUiYg4Q5SJhDDmYhYQ4SfchBb47IPH/+HEZGOc/AVKlUWLlyJdq3b48mTZrgzp07MlanO8xBwhwkzEHCHHIwCwlzkOhDDnrz9GsfHx9cunQJVapU0Zi+bNkyAECHDh3kKEvnmIOEOUiYg4Q55GAWEuYg0Ycc9OaITOfOnfH111/nOW/ZsmXo1asXxDtwpTlzkDAHCXOQMIcczELCHCT6kAPvI0NERESKpTdHZIiIiOjdw0aGiIiIFIuNDBERESkWGxkiIiJSLDYyRFRoAwYMQKdOnWTbft++fTF79mzZtp+fJ0+ewNHREY8ePZK7FCK9x6uWiChPKpXqtfOnT5+OcePGQQgBW1tb3RT1D1evXkXz5s3x8OFDWFlZAQCaNm2KkydPAgBMTExQpkwZ1K5dGwMHDkSXLl10Wt+ECRPw9OlTrFu3TqfbJXrXsJEhojzFxcWp/7xz505MmzYNt2/fVk+zsrJSNxByCA0NhZGREVatWqWe1rRpU1SqVAkzZ87Eq1ev8OjRI+zduxeLFi3CgAED8NVXX+msvhs3bsDf3x+PHz+Gvb29zrZL9K7hqSUiypOzs7P6ZWNjA5VKpTHNysoq16mlpk2bYvTo0Rg7dizs7Ozg5OSENWvWIDU1FQMHDkSpUqVQsWJFHDx4UGNbv/32G1q3bg0rKys4OTmhb9++ePLkSb61ZWZm4ttvv0X79u1zzbOwsICzszPKlSuHBg0aYN68eVi9ejXWrFmDY8eOqZf75JNPUKlSJVhYWKB8+fKYOnUqXr58CQB48OABDAwMcOnSJY11L168GB4eHsjKysLTp0/Rp08fODg4wNzcHN7e3tiwYYN62apVq8LV1RV79+7VKnci0g4bGSIqUps2bUKZMmVw4cIFjB49GiNGjEC3bt3QsGFDXL58Ga1atULfvn2RlpYGAEhMTETz5s1Rq1YtXLp0CYcOHUJ8fDy6d++e7zauXbuGpKQk1KlTp0A19e/fH3Z2dtizZ496WqlSpbBx40ZERkZiyZIlWLNmDRYtWgQA8PT0RFBQkEZjAgAbNmzAgAEDYGBggKlTpyIyMhIHDx7EzZs3sXLlSpQpU0Zj+Xr16uHnn38uUI1EVDhsZIioSNWoUQNTpkyBt7c3wsLCYGZmhjJlymDIkCHw9vbGtGnT8Ndff+HatWsApNug16pVC7Nnz4aPjw9q1aqF9evX4/jx4/k+sO7hw4cwNDSEo6NjgWoyMDBApUqV8ODBA/W0KVOmoGHDhvD09ET79u0xYcIE7Nq1Sz0/NDQUX3/9NdLT0wEAly9fxvXr1zFw4EAAQExMDGrVqoU6deqoG59/HyFydXXFw4cPC5wdEWmPjQwRFanq1aur/2xoaIjSpUvDz89PPc3JyQkAkJCQAEAatHv8+HH1mBsrKyv4+PgAAKKiovLcxvPnz2FqavrGAcn/JITQWH7nzp1o1KiR+jTZlClTEBMTo57fqVMnGBoaqk8Nbdy4Ec2aNYOnpycAYMSIEdixYwdq1qyJjz/+GGfPns21TXNzc/WRJyIqHmxkiKhIGRsba7xXqVQa07KbiaysLADAs2fP0L59e1y5ckXjdffuXQQGBua5jTJlyiAtLQ0ZGRkFqikzMxN3796Fl5cXAODcuXPo06cP2rRpgx9++AG//vorJk+erLE+ExMT9OvXDxs2bEBGRga2b9+OQYMGqee3bt0aDx8+xLhx4/D48WO0aNECEyZM0Nju33//DQcHhwLVSESFYyR3AUT0bqtduzZ2794NT09PGBkV7J+kmjVrAgAiIyPVf36dTZs24enTpwgJCQEAnD17Fh4eHpg8ebJ6mbxOAYWGhqJatWpYsWIFXr16lesSbgcHB/Tv3x/9+/fHe++9h4kTJ+KLL75Qz//tt9/QtGnTAv1MRFQ4PCJDRLIaOXIk/v77b/Tq1QsXL15EVFQUDh8+jIEDByIzMzPPzzg4OKB27do4ffp0rnlpaWmIi4vDo0ePcP78eXzyyScYPnw4RowYgWbNmgEAvL29ERMTgx07diAqKgpLly7N8+qiKlWqoEGDBvjkk0/Qq1cvmJubq+dNmzYN+/fvx71793Djxg388MMPqFKlikYdERERaNWq1dtGRESvwUaGiGTl6uqKM2fOIDMzE61atYKfnx/Gjh0LW1tbGBjk/09UaGgotm3blmv6mjVr4OLiggoVKqBLly6IjIzEzp07sWLFCvUyHTp0wLhx4zBq1CjUrFkTZ8+exdSpU/PczuDBg5GRkaFxWgmQTj2FhYWhevXqCAwMhKGhIXbs2KGev3//fri7u+O9997TNhIi0gJviEdEivT8+XNUrlwZO3fuREBAQLFt53//+x+++eYb9VVWBdWgQQOMGTMGvXv3LqbKiAjgERkiUihzc3Ns3rz5tTfOexvPnj3Db7/9hmXLlmH06NFaffbJkyfo0qULevXqVSy1EVEOHpEhIsrDgAED8PXXX6NTp07Yvn07DA0N5S6JiPLARoaIiIgUi6eWiIiISLHYyBAREZFisZEhIiIixWIjQ0RERIrFRoaIiIgUi40MERERKRYbGSIiIlIsNjJERESkWGxkiIiISLH+D2l/tuYb6M1+AAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for user in d_df['User First Name'].unique():\n",
" df_user_1 = d_df[d_df['User First Name'] == user]\n",
" df_user_1.plot(x ='Calendar Date (Local)', y='Stress Level (avg)', kind='bar'),\n",
" plt.ylim(ymin=0)\n",
" plt.xlim(xmin=0)\n",
" plt.ylabel(\"Avg. Stress Level\")\n",
" plt.xlabel(\"Time (Days)\")\n",
" plt.title(\"Stress Level per Day for User \" + user)\n",
" \n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "bfda818e-8db4-41d6-823d-86a2c23fe627",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/flI+ExOTUitsXqQ6depgz549yMzM1LoYPH+i1zp16pRRMlICnp4jKsaePXsKPeqwbds2ANqnRywtLQsUEsXp2LEjjIyMMHny5ALbEELgn3/+AQBkZmbiyZMnWu2+vr5Qq9XSaYQ7d+4UWH/+X+66PK7jWQ8fPsSHH36IO3fuYOzYsVLx4urqCiMjI+zfv1+r/+LFi2WvO/8Iz7PfWwhRYMJQ4Ol+BQoWaYWts02bNvj1119x9epVaXlqaio2bNiApk2bFrgj6nkFBARACIG4uDit5fljlk+j0cDHxwdCCDx+/FirLT4+Ho0bN36u7QcFBUGj0eCrr77S2ocrV65ERkYGQkJCnmu9ANC2bVsAwMKFCwu05U//kN8HKPidrays4OHhIf3c2dvbo3nz5li2bJnWPzLyyZniQZ/ee+895Obmas28np2djdWrV8Pf3593zr3ieKSJqBhDhgzBgwcP8O6778LLyws5OTk4dOgQNm3aBDc3N62La/38/LBr1y7MnTsXTk5OcHd3L3CL+7Nef/11TJ06FREREbh69So6dOiAcuXKISkpCT///DMGDBiAESNGYPfu3QgLC0Pnzp1RrVo1PHnyBOvWrYORkRE6deoE4Ol1Jfv370dISAhcXV2RlpaGxYsXo0qVKlpzQhXlr7/+wnfffQfg6dGlxMREbN68GSkpKfj000/x0UcfSX1tbGzQuXNnfP3111CpVHj99dexdevWAtelFMfLywuvv/46RowYgb/++gvW1tb46aefCj3l5efnBwAYOnQogoODYWRkhK5duxa63qlTp0rzVX388ccwNjbGsmXLkJ2djdmzZ8vOV5KmTZuiYsWK2LVrlzQnEAC0adMGjo6OaNKkCRwcHHD27FksXLgQISEhWteExcXF4c6dO3jnnXeea/t2dnaIiIjA5MmT8eabb+Ltt9/G+fPnsXjxYjRo0AAffPDBc3+3OnXqoF+/fliwYAEuXrwoTRsQHR2Nbdu2oV+/fqhdu7bU38fHB82bN5fmnjp+/Dh+/PFHhIWFSX0WLVqEpk2bwtfXF/3790fVqlWRmpqK2NhY3LhxA3/++edz55Vr//79UqF/69YtZGVlSUdpAwMDERgYCADw9/dH586dERERgbS0NHh4eGDt2rW4evUqVq5c+cJzksLp/X49IgOyfft20adPH+Hl5SWsrKyERqMRHh4eYsiQIQVmBD937pwIDAwU5ubmAoB0W3Zht4w/66effhJNmzYVlpaWwtLSUnh5eYnBgweL8+fPCyGEuHLliujTp494/fXXhZmZmahQoYJo0aKF2LVrl7SOmJgY8c477wgnJyeh0WiEk5OT6Natm7hw4UKJ39HV1VUAEACESqUS1tbWokaNGqJ///7iyJEjhX7m1q1bolOnTsLCwkKUL19efPTRR+LMmTOFTjlQ1O3riYmJIigoSFhZWYlKlSqJ/v37iz///LPAOp48eSKGDBki7OzshEql0pp+AP+ackAIIeLj40VwcLCwsrISFhYWokWLFuLQoUNaffJvbT927JjW8qKmUyjM0KFDhYeHh9ayZcuWicDAQFGxYkVhamoqXn/9dTFy5EiRkZGh1W/06NHCxcVFa7qDohT387Nw4ULh5eUlTExMhIODgxg0aFCB2eubNWsmexqEfLm5uWLBggWidu3awszMTJiZmYnatWuLr776SmuKAyGEmDp1qmjYsKGwtbUV5ubmwsvLS0ybNq3AtByXL18WPXv2FI6OjsLExES89tpr4q233hI//vij1KeocSlKUTOCFyZ/Pxb2+vfP0MOHD8WIESOEo6OjMDU1FQ0aNBBRUVGyMtHLTSWEjIcfERGRlitXrsDLywvbt29Hq1atZH8uOzsbbm5uGDNmDD755JMXmJCIShuvaSIieg5Vq1ZF3759MXPmTJ0+t3r1apiYmBSYt4uIlI9HmoiIiIhk4JEmIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQycHLLUpKXl4ebN2+iXLlyz/UATiIiItI/IQTu3bsHJyenAs/J/DcWTaXk5s2bnF6fiIjIQF2/fh1VqlQptg+LplKS/4iE69evl9rzrYiIiOjFyszMhLOzs9ajjorCoqmU5J+Ss7a2ZtFERERkYORcWsMLwYmIiIhkYNFEREREJAOLJiIiIiIZeE0TEREVKzc3F48fPy7rGETPxcTEBEZGRqWyLhZNRERUKCEEUlJSkJ6eXtZRiP4TW1tbODo6/ud5FFk0ERFRofILJnt7e1hYWHDiXjI4Qgg8ePAAaWlpAIDKlSv/p/WxaCIiogJyc3OlgqlixYplHYfouZmbmwMA0tLSYG9v/59O1fFCcCIiKiD/GiYLC4syTkL03+X/HP/Xa/NYNBERUZF4So5eBqX1c8yiiYiIiEgGFk1ERERUokmTJqFOnTp62VZMTAy8vb2Rm5tbYt+oqCjUqVMHeXl5LzyXSgghXvhWXgGZmZmwsbFBRkYGnz1HRAbv0aNHSEpKgru7O8zMzLTa3MZE6jXL1ZkhOvW/desWJkyYgMjISKSmpqJ8+fKoXbs2JkyYgCZNmgB4errm559/RocOHV5A4ufXvHlz7Nu3DwCg0WhQqVIl1KtXD71790bHjh31lqOw/XP//n1kZ2fr5cYAPz8/hIeHo0ePHrL6N2jQAEOHDsWHH35YaHtxP8+6/P7mkSYiInqpdOrUCSdOnMDatWtx4cIF/Pbbb2jevDn++ecfndaTk5PzghIWr3///vj7779x+fJl/PTTT/Dx8UHXrl0xYMCA/7Te3Nzc/3Q0xsrKSi8F04EDB3D58mV06tRJ9md69eqFr7766gWmeopFExERvTTS09Pxxx9/YNasWWjRogVcXV3RsGFDRERE4O233wYAuLm5AQDeffddqFQq6X3+6acVK1ZoHZFIT09Hv379YGdnB2tra7Rs2RJ//vmntM0///wTLVq0QLly5WBtbQ0/Pz8cP34cAHDt2jW0b98e5cuXh6WlJWrUqIFt27YV+x0sLCzg6OiIKlWqoFGjRpg1axaWLVuG5cuXY9euXQCAvXv3QqVSaU08evLkSahUKly9ehUAsGbNGtja2uK3336Dj48PTE1NkZycjGPHjqF169aoVKkSbGxs0KxZM8THx0vrKWn/5MvLy8OUKVNQpUoVmJqaok6dOoiKipLar169CpVKhS1btqBFixawsLBA7dq1ERsbW+z337hxI1q3bq11RKi4fQwA7du3x/Hjx3H58uVi1/1fsWgiIqKXhpWVFaysrPDLL78gOzu70D7Hjh0DAKxevRp///239B4ALl26hJ9++glbtmzByZMnAQCdO3dGWloatm/fjri4ONSrVw+tWrXCnTt3AAA9evRAlSpVcOzYMcTFxWHMmDEwMTEBAAwePBjZ2dnYv38/Tp8+jVmzZsHKykrn7xUaGory5ctjy5YtOn3uwYMHmDVrFlasWIGEhATY29vj3r17CA0NxYEDB3D48GF4enqiXbt2uHfvXon751kLFizAnDlz8OWXX+LUqVMIDg7G22+/jYsXL2r1Gzt2LEaMGIGTJ0+iWrVq6NatG548eVJk5j/++AP169fXWlbcPgYAFxcXODg44I8//tBp/+iKk1sSkeKU5jUzul4PQ4bN2NgYa9asQf/+/bF06VLUq1cPzZo1Q9euXVGrVi0AgJ2dHYD/PVrjWTk5Ofj222+lPgcOHMDRo0eRlpYGU1NTAMCXX36JX375BT/++CMGDBiA5ORkjBw5El5eXgAAT09PaX3Jycno1KkTfH19AQBVq1Z9ru+lVqtRrVo16SiSXI8fP8bixYtRu3ZtaVnLli21+nzzzTewtbXFvn378NZbbxW7f5715ZdfYvTo0ejatSsAYNasWdizZw/mz5+PRYsWSf1GjBiBkJCn/x9OnjwZNWrUwKVLl6T99W/Xrl2Dk5OT1rLi9nE+JycnXLt2rci8pYFHmoiI6KXSqVMn3Lx5E7/99hvefPNN7N27F/Xq1cOaNWtK/Kyrq6tUNABPTwvdv38fFStWlI5iWVlZISkpSToVFB4ejn79+iEoKAgzZ87UOkU0dOhQTJ06FU2aNMHEiRNx6tSp5/5eQgid5xvSaDRSsZgvNTUV/fv3h6enJ2xsbGBtbY379+8jOTlZ9nozMzNx8+ZN6cL6fE2aNMHZs2e1lj27/fzHmOQ/1qQwDx8+LHCxdnH7OJ+5uTkePHgg+zs8DxZNRET00jEzM0Pr1q0xfvx4HDp0CL169cLEiRNL/JylpaXW+/v376Ny5co4efKk1uv8+fMYOXIkgKfX+iQkJCAkJAS7d++Gj48Pfv75ZwBAv379cOXKFXz44Yc4ffo06tevj6+//lrn75Obm4uLFy/C3d0dwNMjT8DTQipfYbNdm5ubFyi0QkNDcfLkSSxYsACHDh3CyZMnUbFixRd24fuzp9HysxR3QXqlSpVw9+5drWXF7eN8d+7c0Sp4XwQWTURE9NLz8fFBVlaW9N7ExETWHED16tVDSkoKjI2N4eHhofWqVKmS1K9atWoYPnw4du7ciY4dO2L16tVSm7OzMwYOHIgtW7bg008/xfLly3XOv3btWty9e1e6oyy/OPj777+lPvnXYJXk4MGDGDp0KNq1a4caNWrA1NQUt2/f1upT0v6xtraGk5MTDh48WGDdPj4+snIUpW7dukhMTCywvLh9/OjRI1y+fBl169b9T9suCYsmIiJ6afzzzz9o2bIlvvvuO5w6dQpJSUnYvHkzZs+ejXfeeUfq5+bmhpiYGKSkpBQ4qvGsoKAgBAQEoEOHDti5cyeuXr2KQ4cOYezYsTh+/DgePnyIsLAw7N27F9euXcPBgwdx7NgxeHt7AwCGDRuGHTt2ICkpCfHx8dizZ4/UVpQHDx4gJSUFN27cwOHDhzF69GgMHDgQgwYNQosWLQAAHh4ecHZ2xqRJk3Dx4kVERkZizpw5svaRp6cn1q1bh7Nnz+LIkSPo0aOH9FBbXfbPyJEjMWvWLGzatAnnz5/HmDFjcPLkSXzyySeychQlODgYBw4ckN6XtI8B4PDhwzA1NUVAQMB/2nZJyvRC8NzcXEyaNAnfffcdUlJS4OTkhF69emHcuHHSITwhBCZOnIjly5cjPT0dTZo0wZIlS7QuArtz5w6GDBmC33//HWq1Gp06dcKCBQu07lA4deoUBg8ejGPHjsHOzg5DhgzBqFGjtPJs3rwZ48ePx9WrV+Hp6YlZs2ahXbt2+tkZREQGQskX11tZWcHf3x/z5s3D5cuX8fjxYzg7O6N///747LPPpH5z5sxBeHg4li9fjtdee63IC6xVKhW2bduGsWPHonfv3rh16xYcHR0RGBgIBwcHGBkZ4Z9//kHPnj2RmpqKSpUqoWPHjpg8eTKAp7/nBg8ejBs3bsDa2hpvvvkm5s2bV+x3WL58OZYvXw6NRoOKFSvCz88PmzZtwrvvviv1MTExwffff49BgwahVq1aaNCgAaZOnYrOnTuXuI9WrlyJAQMGoF69enB2dsb06dMxYsQIrT5y9s/QoUORkZGBTz/9FGlpafDx8cFvv/1W6EXauujRowdGjRqF8+fPo3r16iXuYwD4/vvv0aNHjxf+gOkynRF8+vTpmDt3LtauXYsaNWrg+PHj6N27N6ZNm4ahQ4cCeHo1/owZM7B27Vq4u7tj/PjxOH36NBITE6ULxdq2bYu///4by5Ytw+PHj9G7d280aNAAGzZsAPD0grVq1aohKCgIEREROH36NPr06YP58+dLk4UdOnQIgYGBmDFjBt566y1s2LABs2bNQnx8PGrWrFnid+GM4ESlh3fPlb3iZlAmetFGjhyJzMxMLFu2rMS+t2/fRvXq1XH8+HHpmq9/K60Zwcu0aHrrrbfg4OCAlStXSss6deoEc3NzfPfddxBCwMnJCZ9++qlUBWdkZMDBwQFr1qxB165dcfbsWfj4+ODYsWPSvA5RUVFo164dbty4AScnJyxZsgRjx45FSkoKNBoNAGDMmDH45ZdfcO7cOQBAly5dkJWVha1bt0pZGjVqhDp16mDp0qUlfhcWTUSlh0VT2WPRRGUpPT0dixcvxpgxY6SL3ouSP6llly5diuzzUjxGpXHjxoiJicGFCxcAPL2188CBA2jbti0AICkpCSkpKQgKCpI+Y2NjA39/f2lG0djYWNja2mpNhBUUFAS1Wo0jR45IfQIDA6WCCXh6zvT8+fPSudrY2Fit7eT3KWrm0uzsbGRmZmq9iIiI6L+ztbXFZ599VmLBBAD169cvtmAqTWV6TdOYMWOQmZkJLy8vGBkZITc3F9OmTZMe0JeSkgIAcHBw0Pqcg4OD1JaSkgJ7e3utdmNjY1SoUEGrz78P2eWvMyUlBeXLl0dKSkqx2/m3GTNmaJ1PJSIiopdbmR5p+uGHH7B+/Xps2LAB8fHxWLt2Lb788kusXbu2LGPJEhERgYyMDOl1/fr1so5EREREL1CZHmkaOXIkxowZI03B7uvri2vXrmHGjBkIDQ2Vpm9PTU2VZhHNf5//0EBHR8cCM4s+efIEd+7ckT7v6OiI1NRUrT7570vqU9QU8qamptKU+kREL6syvOyVqNSU1s9xmR5pevDgQYHzlUZGRtJMoe7u7nB0dERMTIzUnpmZiSNHjkhzMQQEBCA9PR1xcXFSn927dyMvLw/+/v5Sn/3792vNlhodHY3q1aujfPnyUp9nt5Pf50XP+UBEpET5szi/6MdSEOlD/s/xs7OTP48yPdLUvn17TJs2DS4uLqhRowZOnDiBuXPnok+fPgCezo8xbNgwTJ06FZ6entKUA05OTujQoQMAwNvbG2+++ab0cMbHjx8jLCwMXbt2lR741717d0yePBl9+/bF6NGjcebMGSxYsEBrroxPPvkEzZo1w5w5cxASEoKNGzfi+PHj+Oabb/S+X4iIypqRkRFsbW2lI/kWFhY6P/eMqKwJIfDgwQOkpaXB1tYWRkZG/2l9ZVo0ff311xg/fjw+/vhjpKWlwcnJCR999BEmTJgg9Rk1ahSysrIwYMAApKeno2nTpoiKitK6ZXD9+vUICwtDq1atpMktv/rqK6ndxsYGO3fuxODBg+Hn54dKlSphwoQJ0hxNwNM7+TZs2IBx48bhs88+g6enJ3755RdZczQREb2M8i9PKO7hqkSGwNbWtsjLbXRRpvM0vUw4TxNR6eE8TcqSm5tb6MNgiQyBiYlJsUeYdPn9XaZHmoiISPmMjIz+82kNopcBH9hLREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJINxWQeg5+c2JrJU1nN1ZkiprIeIiOhlxiNNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkKNOiyc3NDSqVqsBr8ODBAIBHjx5h8ODBqFixIqysrNCpUyekpqZqrSM5ORkhISGwsLCAvb09Ro4ciSdPnmj12bt3L+rVqwdTU1N4eHhgzZo1BbIsWrQIbm5uMDMzg7+/P44ePfrCvjcREREZnjItmo4dO4a///5bekVHRwMAOnfuDAAYPnw4fv/9d2zevBn79u3DzZs30bFjR+nzubm5CAkJQU5ODg4dOoS1a9dizZo1mDBhgtQnKSkJISEhaNGiBU6ePIlhw4ahX79+2LFjh9Rn06ZNCA8Px8SJExEfH4/atWsjODgYaWlpetoTREREpHQqIYQo6xD5hg0bhq1bt+LixYvIzMyEnZ0dNmzYgPfeew8AcO7cOXh7eyM2NhaNGjXC9u3b8dZbb+HmzZtwcHAAACxduhSjR4/GrVu3oNFoMHr0aERGRuLMmTPSdrp27Yr09HRERUUBAPz9/dGgQQMsXLgQAJCXlwdnZ2cMGTIEY8aMkZU9MzMTNjY2yMjIgLW1dWnuliJxygF6WZXWzzbAn28iKp4uv78Vc01TTk4OvvvuO/Tp0wcqlQpxcXF4/PgxgoKCpD5eXl5wcXFBbGwsACA2Nha+vr5SwQQAwcHByMzMREJCgtTn2XXk98lfR05ODuLi4rT6qNVqBAUFSX2IiIiIFDO55S+//IL09HT06tULAJCSkgKNRgNbW1utfg4ODkhJSZH6PFsw5bfntxXXJzMzEw8fPsTdu3eRm5tbaJ9z584VmTc7OxvZ2dnS+8zMTPlfloiIiAyOYo40rVy5Em3btoWTk1NZR5FlxowZsLGxkV7Ozs5lHYmIiIheIEUUTdeuXcOuXbvQr18/aZmjoyNycnKQnp6u1Tc1NRWOjo5Sn3/fTZf/vqQ+1tbWMDc3R6VKlWBkZFRon/x1FCYiIgIZGRnS6/r167p9aSIiIjIoiiiaVq9eDXt7e4SE/O+CTT8/P5iYmCAmJkZadv78eSQnJyMgIAAAEBAQgNOnT2vd5RYdHQ1ra2v4+PhIfZ5dR36f/HVoNBr4+flp9cnLy0NMTIzUpzCmpqawtrbWehEREdHLq8yvacrLy8Pq1asRGhoKY+P/xbGxsUHfvn0RHh6OChUqwNraGkOGDEFAQAAaNWoEAGjTpg18fHzw4YcfYvbs2UhJScG4ceMwePBgmJqaAgAGDhyIhQsXYtSoUejTpw92796NH374AZGR/7s7Jzw8HKGhoahfvz4aNmyI+fPnIysrC71799bvziAiIiLFKvOiadeuXUhOTkafPn0KtM2bNw9qtRqdOnVCdnY2goODsXjxYqndyMgIW7duxaBBgxAQEABLS0uEhoZiypQpUh93d3dERkZi+PDhWLBgAapUqYIVK1YgODhY6tOlSxfcunULEyZMQEpKCurUqYOoqKgCF4cTERHRq0tR8zQZMs7TRFR6OE8TEemLQc7TRERERKRkLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhmMyzoA0YvkNiay1NZ1dWZIqa2LiIgMD480EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMpR50fTXX3/hgw8+QMWKFWFubg5fX18cP35cahdCYMKECahcuTLMzc0RFBSEixcvaq3jzp076NGjB6ytrWFra4u+ffvi/v37Wn1OnTqFN954A2ZmZnB2dsbs2bMLZNm8eTO8vLxgZmYGX19fbNu27cV8aSIiIjI4ZVo03b17F02aNIGJiQm2b9+OxMREzJkzB+XLl5f6zJ49G1999RWWLl2KI0eOwNLSEsHBwXj06JHUp0ePHkhISEB0dDS2bt2K/fv3Y8CAAVJ7ZmYm2rRpA1dXV8TFxeGLL77ApEmT8M0330h9Dh06hG7duqFv3744ceIEOnTogA4dOuDMmTP62RlERESkaCohhCirjY8ZMwYHDx7EH3/8UWi7EAJOTk749NNPMWLECABARkYGHBwcsGbNGnTt2hVnz56Fj48Pjh07hvr16wMAoqKi0K5dO9y4cQNOTk5YsmQJxo4di5SUFGg0Gmnbv/zyC86dOwcA6NKlC7KysrB161Zp+40aNUKdOnWwdOnSEr9LZmYmbGxskJGRAWtr6/+0X+RyGxNZKuu5OjOkVNajRKW1j4CXez8pDceNiPRFl9/fZXqk6bfffkP9+vXRuXNn2Nvbo27duli+fLnUnpSUhJSUFAQFBUnLbGxs4O/vj9jYWABAbGwsbG1tpYIJAIKCgqBWq3HkyBGpT2BgoFQwAUBwcDDOnz+Pu3fvSn2e3U5+n/zt/Ft2djYyMzO1XkRERPTyKtOi6cqVK1iyZAk8PT2xY8cODBo0CEOHDsXatWsBACkpKQAABwcHrc85ODhIbSkpKbC3t9dqNzY2RoUKFbT6FLaOZ7dRVJ/89n+bMWMGbGxspJezs7PO35+IiIgMR5kWTXl5eahXrx6mT5+OunXrYsCAAejfv7+s02FlLSIiAhkZGdLr+vXrZR2JiIiIXqAyLZoqV64MHx8frWXe3t5ITk4GADg6OgIAUlNTtfqkpqZKbY6OjkhLS9Nqf/LkCe7cuaPVp7B1PLuNovrkt/+bqakprK2ttV5ERET08irToqlJkyY4f/681rILFy7A1dUVAODu7g5HR0fExMRI7ZmZmThy5AgCAgIAAAEBAUhPT0dcXJzUZ/fu3cjLy4O/v7/UZ//+/Xj8+LHUJzo6GtWrV5fu1AsICNDaTn6f/O0QERHRq61Mi6bhw4fj8OHDmD59Oi5duoQNGzbgm2++weDBgwEAKpUKw4YNw9SpU/Hbb7/h9OnT6NmzJ5ycnNChQwcAT49Mvfnmm+jfvz+OHj2KgwcPIiwsDF27doWTkxMAoHv37tBoNOjbty8SEhKwadMmLFiwAOHh4VKWTz75BFFRUZgzZw7OnTuHSZMm4fjx4wgLC9P7fiEiIiLlMS7LjTdo0AA///wzIiIiMGXKFLi7u2P+/Pno0aOH1GfUqFHIysrCgAEDkJ6ejqZNmyIqKgpmZmZSn/Xr1yMsLAytWrWCWq1Gp06d8NVXX0ntNjY22LlzJwYPHgw/Pz9UqlQJEyZM0JrLqXHjxtiwYQPGjRuHzz77DJ6envjll19Qs2ZN/ewMIiIiUrQynafpZcJ5mpSJ8/0YJo4bEemLwczTRERERGQoWDQRERERycCiiYiIiEgGnS8ET0pKwh9//IFr167hwYMHsLOzQ926dREQEKB1cTYRERHRy0R20bR+/XosWLAAx48fh4ODA5ycnGBubo47d+7g8uXLMDMzQ48ePTB69GhpniUiIiKil4Wsoqlu3brQaDTo1asXfvrppwLPWcvOzkZsbCw2btyI+vXrY/HixejcufMLCUxERERUFmQVTTNnzkRwcHCR7aampmjevDmaN2+OadOm4erVq6WVj4iIiEgRZBVNxRVM/1axYkVUrFjxuQMRERERKZHOd8/Fx8fj9OnT0vtff/0VHTp0wGeffYacnJxSDUdERESkFDoXTR999BEuXLgAALhy5Qq6du0KCwsLbN68GaNGjSr1gERERERKoHPRdOHCBdSpUwcAsHnzZgQGBmLDhg1Ys2YNfvrpp9LOR0RERKQIOhdNQgjk5eUBAHbt2oV27doBAJydnXH79u3STUdERESkEDoXTfXr18fUqVOxbt067Nu3DyEhTx+GmZSUBAcHh1IPSERERKQEOhdN8+fPR3x8PMLCwjB27Fh4eHgAAH788Uc0bty41AMSERERKYHOj1GpVauW1t1z+b744gsYGRmVSigiIiIipZFVNAkhoFKpiu3D584RERHRy0zW6bkaNWpg48aNJc7DdPHiRQwaNAgzZ84slXBERERESiHrSNPXX3+N0aNH4+OPP0br1q1Rv359ODk5wczMDHfv3kViYiIOHDiAhIQEhIWFYdCgQS86NxEREZFeySqaWrVqhePHj+PAgQPYtGkT1q9fj2vXruHhw4eoVKkS6tati549e6JHjx4oX778i85MREREpHc6XQjetGlTNG3a9EVlISIiIlIsnaccICIiInoVsWgiIiIikoFFExEREZEMLJqIiIiIZGDRRERERCSDzo9RAYC8vDxcunQJaWlpyMvL02oLDAwslWBERERESqJz0XT48GF0794d165dgxBCq02lUiE3N7fUwhEREREphc5F08CBA1G/fn1ERkaicuXKJT6TjoiIiOhloHPRdPHiRfz444/w8PB4EXmIiIiIFEnnC8H9/f1x6dKlF5GFiIiISLF0PtI0ZMgQfPrpp0hJSYGvry9MTEy02mvVqlVq4YiIiIiUQueiqVOnTgCAPn36SMtUKhWEELwQnIiIiF5aOp+eS0pKKvC6cuWK9F9dTJo0CSqVSuvl5eUltT969AiDBw9GxYoVYWVlhU6dOiE1NVVrHcnJyQgJCYGFhQXs7e0xcuRIPHnyRKvP3r17Ua9ePZiamsLDwwNr1qwpkGXRokVwc3ODmZkZ/P39cfToUZ2+CxEREb3cdD7S5OrqWqoBatSogV27dv0vkPH/Ig0fPhyRkZHYvHkzbGxsEBYWho4dO+LgwYMAgNzcXISEhMDR0RGHDh3C33//jZ49e8LExATTp08H8LTICwkJwcCBA7F+/XrExMSgX79+qFy5MoKDgwEAmzZtQnh4OJYuXQp/f3/Mnz8fwcHBOH/+POzt7Uv1+xIREZFheq7JLS9fvoz58+fj7NmzAAAfHx988skneP3113UPYGwMR0fHAsszMjKwcuVKbNiwAS1btgQArF69Gt7e3jh8+DAaNWqEnTt3IjExEbt27YKDgwPq1KmDzz//HKNHj8akSZOg0WiwdOlSuLu7Y86cOQAAb29vHDhwAPPmzZOKprlz56J///7o3bs3AGDp0qWIjIzEqlWrMGbMmOfZRURERPSS0fn03I4dO+Dj44OjR4+iVq1aqFWrFo4cOYIaNWogOjpa5wAXL16Ek5MTqlatih49eiA5ORkAEBcXh8ePHyMoKEjq6+XlBRcXF8TGxgIAYmNj4evrCwcHB6lPcHAwMjMzkZCQIPV5dh35ffLXkZOTg7i4OK0+arUaQUFBUp/CZGdnIzMzU+tFRERELy+djzSNGTMGw4cPx8yZMwssHz16NFq3bi17Xf7+/lizZg2qV6+Ov//+G5MnT8Ybb7yBM2fOICUlBRqNBra2tlqfcXBwQEpKCgAgJSVFq2DKb89vK65PZmYmHj58iLt37yI3N7fQPufOnSsy+4wZMzB58mTZ35WIiIgMm85F09mzZ/HDDz8UWN6nTx/Mnz9fp3W1bdtW+nOtWrXg7+8PV1dX/PDDDzA3N9c1ml5FREQgPDxcep+ZmQlnZ+cyTEREREQvks6n5+zs7HDy5MkCy0+ePPmfL5q2tbVFtWrVcOnSJTg6OiInJwfp6elafVJTU6VroBwdHQvcTZf/vqQ+1tbWMDc3R6VKlWBkZFRon8KutcpnamoKa2trrRcRERG9vHQumvr3748BAwZg1qxZ+OOPP/DHH39g5syZ+Oijj9C/f///FOb+/fu4fPkyKleuDD8/P5iYmCAmJkZqP3/+PJKTkxEQEAAACAgIwOnTp5GWlib1iY6OhrW1NXx8fKQ+z64jv0/+OjQaDfz8/LT65OXlISYmRupDREREpPPpufHjx6NcuXKYM2cOIiIiAABOTk6YNGkShg4dqtO6RowYgfbt28PV1RU3b97ExIkTYWRkhG7dusHGxgZ9+/ZFeHg4KlSoAGtrawwZMgQBAQFo1KgRAKBNmzbw8fHBhx9+iNmzZyMlJQXjxo3D4MGDYWpqCuDpA4YXLlyIUaNGoU+fPti9ezd++OEHREZGSjnCw8MRGhqK+vXro2HDhpg/fz6ysrKku+mIiIiIdC6aVCoVhg8fjuHDh+PevXsAgHLlyj3Xxm/cuIFu3brhn3/+gZ2dHZo2bYrDhw/Dzs4OADBv3jyo1Wp06tQJ2dnZCA4OxuLFi6XPGxkZYevWrRg0aBACAgJgaWmJ0NBQTJkyRerj7u6OyMhIDB8+HAsWLECVKlWwYsUKaboBAOjSpQtu3bqFCRMmICUlBXXq1EFUVFSBi8OJiIjo1aUSQoiyDvEyyMzMhI2NDTIyMvR2fZPbmMiSO8lwdWZIqaxHiUprHwEv935SGo4bEemLLr+/ZR1pqlevHmJiYlC+fHnUrVsXKpWqyL7x8fG6pSUiIiIyALKKpnfeeUe6Ruidd94ptmgiIiIiehnJKpomTpwo/XnSpEkvKgsRERGRYuk85UDVqlXxzz//FFienp6OqlWrlkooIiIiIqXRuWi6evUqcnNzCyzPzs7GjRs3SiUUERERkdLInnLgt99+k/68Y8cO2NjYSO9zc3MRExMDd3f30k1HREREpBCyi6YOHToAeDpPU2hoqFabiYkJ3NzcMGfOnFINR0RERKQUsoumvLw8AE8nizx27BgqVar0wkIRERERKY3OM4InJSW9iBxEREREiqZz0QQAWVlZ2LdvH5KTk5GTk6PVpuvz54iIiIgMgc5F04kTJ9CuXTs8ePAAWVlZqFChAm7fvg0LCwvY29uzaCIiIqKXks5TDgwfPhzt27fH3bt3YW5ujsOHD+PatWvw8/PDl19++SIyEhEREZU5nYumkydP4tNPP4VarYaRkRGys7Ph7OyM2bNn47PPPnsRGYmIiIjKnM5Fk4mJCdTqpx+zt7dHcnIyAMDGxgbXr18v3XRERERECqHzNU1169bFsWPH4OnpiWbNmmHChAm4ffs21q1bh5o1a76IjERERERlTucjTdOnT0flypUBANOmTUP58uUxaNAg3Lp1C998802pByQiIiJSAp2ONAkhYG9vLx1Rsre3R1RU1AsJRkRERKQkOh1pEkLAw8OD1y4RERHRK0enokmtVsPT0xP//PPPi8pDREREpEg6X9M0c+ZMjBw5EmfOnHkReYiIiIgUSee753r27IkHDx6gdu3a0Gg0MDc312q/c+dOqYUjIiIiUgqdi6b58+e/gBhEREREyqZz0RQaGvoichAREREpms5FU/4M4EVxcXF57jBERERESqVz0eTm5gaVSlVke25u7n8KRERERKREOhdNJ06c0Hr/+PFjnDhxAnPnzsW0adNKLRgRERGRkuhcNNWuXbvAsvr168PJyQlffPEFOnbsWCrBiIiIiJRE56KpKNWrV8exY8dKa3VERIriNiay1NZ1dWZIqa2LiPRH56IpMzNT670QAn///TcmTZoET0/PUgtGREREpCQ6F022trYFLgQXQsDZ2RkbN24stWBERERESqJz0bRnzx6t92q1GnZ2dvDw8ICxcamd7SMiIiJSFJ2rnGbNmr2IHERERESKpvMDe3fv3o2wsDC89dZbaN++PYYOHYr9+/f/5yAzZ86ESqXCsGHDpGWPHj3C4MGDUbFiRVhZWaFTp05ITU3V+lxycjJCQkJgYWEBe3t7jBw5Ek+ePNHqs3fvXtSrVw+mpqbw8PDAmjVrCmx/0aJFcHNzg5mZGfz9/XH06NH//J2IiIjo5aFT0TRw4EAEBQXh+++/xz///INbt25h/fr1aNGiBYYMGfLcIY4dO4Zly5ahVq1aWsuHDx+O33//HZs3b8a+fftw8+ZNrSkNcnNzERISgpycHBw6dAhr167FmjVrMGHCBKlPUlISQkJC0KJFC5w8eRLDhg1Dv379sGPHDqnPpk2bEB4ejokTJyI+Ph61a9dGcHAw0tLSnvs7ERER0ctFdtH0888/Y/Xq1Vi1ahVu376N2NhYHD58GLdu3cLy5cvxzTff4LffftM5wP3799GjRw8sX74c5cuXl5ZnZGRg5cqVmDt3Llq2bAk/Pz+sXr0ahw4dwuHDhwEAO3fuRGJiIr777jvUqVMHbdu2xeeff45FixYhJycHALB06VK4u7tjzpw58Pb2RlhYGN577z3MmzdP2tbcuXPRv39/9O7dGz4+Pli6dCksLCywatUqnb8PERERvZxkX9O0evVqhIeHo1evXlrL1Wo1+vTpg/Pnz2PlypV4++23dQowePBghISEICgoCFOnTpWWx8XF4fHjxwgKCpKWeXl5wcXFBbGxsWjUqBFiY2Ph6+sLBwcHqU9wcDAGDRqEhIQE1K1bF7GxsVrryO+TfxowJycHcXFxiIiI0PpOQUFBiI2NLTJ3dnY2srOzpff/noqBqCilNd8P5/ohItIv2Uea4uPj8e677xbZ3rFjR8TFxem08Y0bNyI+Ph4zZswo0JaSkgKNRgNbW1ut5Q4ODkhJSZH6PFsw5bfntxXXJzMzEw8fPsTt27eRm5tbaJ/8dRRmxowZsLGxkV7Ozs7yvjQREREZJNlF0+3bt1GlSpUi26tUqYJ//vlH9oavX7+OTz75BOvXr4eZmZnszylFREQEMjIypNf169fLOhIRERG9QLKLppycHJiYmBTZbmxsLF1HJEdcXBzS0tJQr149GBsbw9jYGPv27cNXX30FY2NjODg4ICcnB+np6VqfS01NhaOjIwDA0dGxwN10+e9L6mNtbQ1zc3NUqlQJRkZGhfbJX0dhTE1NYW1trfUiIiKil5dO8zSNHz8eFhYWhbY9ePBApw23atUKp0+f1lrWu3dveHl5YfTo0XB2doaJiQliYmLQqVMnAMD58+eRnJyMgIAAAEBAQACmTZuGtLQ02NvbAwCio6NhbW0NHx8fqc+2bdu0thMdHS2tQ6PRwM/PDzExMejQoQMAIC8vDzExMQgLC9PpOxEREdHLS3bRFBgYiPPnz5fYR65y5cqhZs2aWsssLS1RsWJFaXnfvn0RHh6OChUqwNraGkOGDEFAQAAaNWoEAGjTpg18fHzw4YcfYvbs2UhJScG4ceMwePBgmJqaAng6TcLChQsxatQo9OnTB7t378YPP/yAyMj/XYwbHh6O0NBQ1K9fHw0bNsT8+fORlZWF3r17y/4+RERE9HKTXTTt3bv3BcYo3Lx586BWq9GpUydkZ2cjODgYixcvltqNjIywdetWDBo0CAEBAbC0tERoaCimTJki9XF3d0dkZCSGDx+OBQsWoEqVKlixYgWCg4OlPl26dMGtW7cwYcIEpKSkoE6dOoiKiipwcTgRERG9uhT1sLh/F2ZmZmZYtGgRFi1aVORnXF1dC5x++7fmzZvjxIkTxfYJCwvj6TgiIiIqks6PUSEiIiJ6FbFoIiIiIpKBRRMRERGRDCyaiIiIiGTQuWiKiorCgQMHpPeLFi1CnTp10L17d9y9e7dUwxEREREphc5F08iRI6WH054+fRqffvop2rVrh6SkJISHh5d6QCIiIiIl0HnKgaSkJGm27Z9++glvvfUWpk+fjvj4eLRr167UAxIREREpgc5HmjQajfTIlF27dqFNmzYAgAoVKkhHoIiIiIheNjofaWratCnCw8PRpEkTHD16FJs2bQIAXLhwAVWqVCn1gERERERKoPORpoULF8LY2Bg//vgjlixZgtdeew0AsH37drz55pulHpCIiIhICXQ+0uTi4oKtW7cWWD5v3rxSCURERESkRDofaYqPj8fp06el97/++is6dOiAzz77DDk5OaUajoiIiEgpdC6aPvroI1y4cAEAcOXKFXTt2hUWFhbYvHkzRo0aVeoBiYiIiJRA56LpwoULqFOnDgBg8+bNCAwMxIYNG7BmzRr89NNPpZ2PiIiISBF0LpqEEMjLywPwdMqB/LmZnJ2dcfv27dJNR0RERKQQOhdN9evXx9SpU7Fu3Trs27cPISEhAJ5Oeung4FDqAYmIiIiUQOeiaf78+YiPj0dYWBjGjh0LDw8PAMCPP/6Ixo0bl3pAIiIiIiXQecqBWrVqad09l++LL76AkZFRqYQiIiIiUhqdjzQBQHp6OlasWIGIiAjcuXMHAJCYmIi0tLRSDUdERESkFDofaTp16hRatWoFW1tbXL16Ff3790eFChWwZcsWJCcn49tvv30ROYmIiIjKlM5HmsLDw9G7d29cvHgRZmZm0vJ27dph//79pRqOiIiISCl0LpqOHTuGjz76qMDy1157DSkpKaUSioiIiEhpdC6aTE1NkZmZWWD5hQsXYGdnVyqhiIiIiJRG56Lp7bffxpQpU/D48WMAgEqlQnJyMkaPHo1OnTqVekAiIiIiJdC5aJozZw7u378Pe3t7PHz4EM2aNYOHhwfKlSuHadOmvYiMRERERGVO57vnbGxsEB0djYMHD+LPP//E/fv3Ua9ePQQFBb2IfERERESKoFPR9PjxY5ibm+PkyZNo0qQJmjRp8qJyERERESmKTqfnTExM4OLigtzc3BeVh4iIiEiRdL6maezYsfjss8+kmcCJiIiIXgU6X9O0cOFCXLp0CU5OTnB1dYWlpaVWe3x8fKmFIyIiIlIKnYumd955ByqV6kVkISIiIlIsnYumSZMmvYAYRERERMqm8zVNVatWxT///FNgeXp6OqpWrarTupYsWYJatWrB2toa1tbWCAgIwPbt26X2R48eYfDgwahYsSKsrKzQqVMnpKamaq0jOTkZISEhsLCwgL29PUaOHIknT55o9dm7dy/q1asHU1NTeHh4YM2aNQWyLFq0CG5ubjAzM4O/vz+OHj2q03chIiKil5vORdPVq1cLvXsuOzsbN27c0GldVapUwcyZMxEXF4fjx4+jZcuWeOedd5CQkAAAGD58OH7//Xds3rwZ+/btw82bN9GxY0fp87m5uQgJCUFOTg4OHTqEtWvXYs2aNZgwYYLUJykpCSEhIWjRogVOnjyJYcOGoV+/ftixY4fUZ9OmTQgPD8fEiRMRHx+P2rVrIzg4GGlpabruHiIiInpJyT4999tvv0l/3rFjB2xsbKT3ubm5iImJgbu7u04bb9++vdb7adOmYcmSJTh8+DCqVKmClStXYsOGDWjZsiUAYPXq1fD29sbhw4fRqFEj7Ny5E4mJidi1axccHBxQp04dfP755xg9ejQmTZoEjUaDpUuXwt3dHXPmzAEAeHt748CBA5g3bx6Cg4MBAHPnzkX//v3Ru3dvAMDSpUsRGRmJVatWYcyYMTp9JyIiouK4jYkslfVcnRlSKush+WQXTR06dADw9FlzoaGhWm0mJiZwc3OTCpPnkZubi82bNyMrKwsBAQGIi4vD48ePtWYa9/LygouLC2JjY9GoUSPExsbC19cXDg4OUp/g4GAMGjQICQkJqFu3LmJjYwvMVh4cHIxhw4YBAHJychAXF4eIiAipXa1WIygoCLGxsUXmzc7ORnZ2tvS+sIcYExER0ctDdtGUl5cHAHB3d8exY8dQqVKlUglw+vRpBAQE4NGjR7CyssLPP/8MHx8fnDx5EhqNBra2tlr9HRwckJKSAgBISUnRKpjy2/PbiuuTmZmJhw8f4u7du8jNzS20z7lz54rMPWPGDEyePPm5vjMREREZHp2vaUpKSiq1ggkAqlevjpMnT+LIkSMYNGgQQkNDkZiYWGrrf1EiIiKQkZEhva5fv17WkYiIiOgFkl00xcbGYuvWrVrLvv32W7i7u8Pe3h4DBgzQOl0ll0ajgYeHB/z8/DBjxgzUrl0bCxYsgKOjI3JycpCenq7VPzU1FY6OjgAAR0fHAnfT5b8vqY+1tTXMzc1RqVIlGBkZFdonfx2FMTU1le76y38RERHRy0t20TRlyhTprjbg6Wm1vn37IigoCGPGjMHvv/+OGTNm/OdAeXl5yM7Ohp+fH0xMTBATEyO1nT9/HsnJyQgICAAABAQE4PTp01p3uUVHR8Pa2ho+Pj5Sn2fXkd8nfx0ajQZ+fn5affLy8hATEyP1ISIiIpJ9TdPJkyfx+eefS+83btwIf39/LF++HADg7OyMiRMn6jT5ZUREBNq2bQsXFxfcu3cPGzZswN69e6W78/r27Yvw8HBUqFAB1tbWGDJkCAICAtCoUSMAQJs2beDj44MPP/wQs2fPRkpKCsaNG4fBgwfD1NQUADBw4EAsXLgQo0aNQp8+fbB792788MMPiIz8390L4eHhCA0NRf369dGwYUPMnz8fWVlZ0t10RERERLKLprt372pdLL1v3z60bdtWet+gQQOdr+tJS0tDz5498ffff8PGxga1atXCjh070Lp1awDAvHnzoFar0alTJ2RnZyM4OBiLFy+WPm9kZIStW7di0KBBCAgIgKWlJUJDQzFlyhSpj7u7OyIjIzF8+HAsWLAAVapUwYoVK6TpBgCgS5cuuHXrFiZMmICUlBTUqVMHUVFRBS4OJyIioleX7KLJwcEBSUlJcHZ2Rk5ODuLj47XuHrt37x5MTEx02vjKlSuLbTczM8OiRYuwaNGiIvu4urpi27Ztxa6nefPmOHHiRLF9wsLCEBYWVmwfIiIienXJvqapXbt2GDNmDP744w9ERETAwsICb7zxhtR+6tQpvP766y8kJBEREVFZk32k6fPPP0fHjh3RrFkzWFlZYe3atdBoNFL7qlWr0KZNmxcSkoiIiKisyS6aKlWqhP379yMjIwNWVlYwMjLSat+8eTOsrKxKPSARERGREsgumvI9+8y5Z1WoUOE/hyEiIiJSKp1nBCciIiJ6FbFoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhl0nnKAiIiUwW1MZMmdZLg6M6RU1kP0suORJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMxmUdgIiIiMqW25jIUlnP1ZkhpbIepeKRJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDGVaNM2YMQMNGjRAuXLlYG9vjw4dOuD8+fNafR49eoTBgwejYsWKsLKyQqdOnZCamqrVJzk5GSEhIbCwsIC9vT1GjhyJJ0+eaPXZu3cv6tWrB1NTU3h4eGDNmjUF8ixatAhubm4wMzODv78/jh49WurfmYiIiAxTmRZN+/btw+DBg3H48GFER0fj8ePHaNOmDbKysqQ+w4cPx++//47Nmzdj3759uHnzJjp27Ci15+bmIiQkBDk5OTh06BDWrl2LNWvWYMKECVKfpKQkhISEoEWLFjh58iSGDRuGfv36YceOHVKfTZs2ITw8HBMnTkR8fDxq166N4OBgpKWl6WdnEBERkaKV6eSWUVFRWu/XrFkDe3t7xMXFITAwEBkZGVi5ciU2bNiAli1bAgBWr14Nb29vHD58GI0aNcLOnTuRmJiIXbt2wcHBAXXq1MHnn3+O0aNHY9KkSdBoNFi6dCnc3d0xZ84cAIC3tzcOHDiAefPmITg4GAAwd+5c9O/fH7179wYALF26FJGRkVi1ahXGjBmjx71CRERESqSoa5oyMjIAABUqVAAAxMXF4fHjxwgKCpL6eHl5wcXFBbGxsQCA2NhY+Pr6wsHBQeoTHByMzMxMJCQkSH2eXUd+n/x15OTkIC4uTquPWq1GUFCQ1OffsrOzkZmZqfUiIiKil5diiqa8vDwMGzYMTZo0Qc2aNQEAKSkp0Gg0sLW11err4OCAlJQUqc+zBVN+e35bcX0yMzPx8OFD3L59G7m5uYX2yV/Hv82YMQM2NjbSy9nZ+fm+OBERERkExRRNgwcPxpkzZ7Bx48ayjiJLREQEMjIypNf169fLOhIRERG9QIp4YG9YWBi2bt2K/fv3o0qVKtJyR0dH5OTkID09XetoU2pqKhwdHaU+/77LLf/uumf7/PuOu9TUVFhbW8Pc3BxGRkYwMjIqtE/+Ov7N1NQUpqamz/eFiYiIyOCU6ZEmIQTCwsLw888/Y/fu3XB3d9dq9/Pzg4mJCWJiYqRl58+fR3JyMgICAgAAAQEBOH36tNZdbtHR0bC2toaPj4/U59l15PfJX4dGo4Gfn59Wn7y8PMTExEh9iIiI6NVWpkeaBg8ejA0bNuDXX39FuXLlpOuHbGxsYG5uDhsbG/Tt2xfh4eGoUKECrK2tMWTIEAQEBKBRo0YAgDZt2sDHxwcffvghZs+ejZSUFIwbNw6DBw+WjgQNHDgQCxcuxKhRo9CnTx/s3r0bP/zwAyIjI6Us4eHhCA0NRf369dGwYUPMnz8fWVlZ0t10RERE9Gor06JpyZIlAIDmzZtrLV+9ejV69eoFAJg3bx7UajU6deqE7OxsBAcHY/HixVJfIyMjbN26FYMGDUJAQAAsLS0RGhqKKVOmSH3c3d0RGRmJ4cOHY8GCBahSpQpWrFghTTcAAF26dMGtW7cwYcIEpKSkoE6dOoiKiipwcTgRERG9msq0aBJClNjHzMwMixYtwqJFi4rs4+rqim3bthW7nubNm+PEiRPF9gkLC0NYWFiJmYiIiOjVo5i754iIiIiUjEUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMLJqIiIiIZDAu6wBEVPbcxkSWynquzgwplfUQESkRjzQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0UREREQkA+dpIiIiIsVR4vxxPNJEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEiGMi2a9u/fj/bt28PJyQkqlQq//PKLVrsQAhMmTEDlypVhbm6OoKAgXLx4UavPnTt30KNHD1hbW8PW1hZ9+/bF/fv3tfqcOnUKb7zxBszMzODs7IzZs2cXyLJ582Z4eXnBzMwMvr6+2LZtW6l/XyIiIjJcZVo0ZWVloXbt2li0aFGh7bNnz8ZXX32FpUuX4siRI7C0tERwcDAePXok9enRowcSEhIQHR2NrVu3Yv/+/RgwYIDUnpmZiTZt2sDV1RVxcXH44osvMGnSJHzzzTdSn0OHDqFbt27o27cvTpw4gQ4dOqBDhw44c+bMi/vyREREZFDKdMqBtm3bom3btoW2CSEwf/58jBs3Du+88w4A4Ntvv4WDgwN++eUXdO3aFWfPnkVUVBSOHTuG+vXrAwC+/vprtGvXDl9++SWcnJywfv165OTkYNWqVdBoNKhRowZOnjyJuXPnSsXVggUL8Oabb2LkyJEAgM8//xzR0dFYuHAhli5dqoc9QUREREqn2GuakpKSkJKSgqCgIGmZjY0N/P39ERsbCwCIjY2Fra2tVDABQFBQENRqNY4cOSL1CQwMhEajkfoEBwfj/PnzuHv3rtTn2e3k98nfTmGys7ORmZmp9SIiIqKXl2KLppSUFACAg4OD1nIHBwepLSUlBfb29lrtxsbGqFChglafwtbx7DaK6pPfXpgZM2bAxsZGejk7O+v6FYmIiMiAKLZoUrqIiAhkZGRIr+vXr5d1JCIiInqBFFs0OTo6AgBSU1O1lqempkptjo6OSEtL02p/8uQJ7ty5o9WnsHU8u42i+uS3F8bU1BTW1tZaLyIiInp5KbZocnd3h6OjI2JiYqRlmZmZOHLkCAICAgAAAQEBSE9PR1xcnNRn9+7dyMvLg7+/v9Rn//79ePz4sdQnOjoa1atXR/ny5aU+z24nv0/+doiIiIjK9O65+/fv49KlS9L7pKQknDx5EhUqVICLiwuGDRuGqVOnwtPTE+7u7hg/fjycnJzQoUMHAIC3tzfefPNN9O/fH0uXLsXjx48RFhaGrl27wsnJCQDQvXt3TJ48GX379sXo0aNx5swZLFiwAPPmzZO2+8knn6BZs2aYM2cOQkJCsHHjRhw/flxrWgIiIiqZEh+ySlRayrRoOn78OFq0aCG9Dw8PBwCEhoZizZo1GDVqFLKysjBgwACkp6ejadOmiIqKgpmZmfSZ9evXIywsDK1atYJarUanTp3w1VdfSe02NjbYuXMnBg8eDD8/P1SqVAkTJkzQmsupcePG2LBhA8aNG4fPPvsMnp6e+OWXX1CzZk097AUiIiIyBGVaNDVv3hxCiCLbVSoVpkyZgilTphTZp0KFCtiwYUOx26lVqxb++OOPYvt07twZnTt3Lj4wERERvbIUe00TERERkZKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGQo0wf2EhERvUhuYyJLbV1XZ4aU2rrIMPFIExEREZEMLJqIiIiIZGDRRERERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBhZNRERERDKwaCIiIiKSgUUTERERkQwsmoiIiIhkYNFEREREJAOLJiIiIiIZWDQRERERycCiiYiIiEgGFk1EREREMrBoIiIiIpKBRRMRERGRDCyaiIiIiGRg0fQvixYtgpubG8zMzODv74+jR4+WdSQiIiJSABZNz9i0aRPCw8MxceJExMfHo3bt2ggODkZaWlpZRyMiIqIyxqLpGXPnzkX//v3Ru3dv+Pj4YOnSpbCwsMCqVavKOhoRERGVMRZN/y8nJwdxcXEICgqSlqnVagQFBSE2NrYMkxEREZESGJd1AKW4ffs2cnNz4eDgoLXcwcEB586dK9A/Ozsb2dnZ0vuMjAwAQGZm5osN+oy87Aelsh59Zta30tpHQOntJyWOm9IyvczjBigvE3+W5FFappd53AD9ZcpvF0KUvDJBQggh/vrrLwFAHDp0SGv5yJEjRcOGDQv0nzhxogDAF1988cUXX3y9BK/r16+XWCvwSNP/q1SpEoyMjJCamqq1PDU1FY6OjgX6R0REIDw8XHqfnp4OV1dXJCcnw8bG5oXnlSMzMxPOzs64fv06rK2tyzoOAOVlUloegJnkUlompeUBmEkupWVSWh7g5c4khMC9e/fg5ORUYl8WTf9Po9HAz88PMTEx6NChAwAgLy8PMTExCAsLK9Df1NQUpqamBZbb2Ngo5gcqn7W1NTOVQGl5AGaSS2mZlJYHYCa5lJZJaXmAlzeT3IMdLJqeER4ejtDQUNSvXx8NGzbE/PnzkZWVhd69e5d1NCIiIipjLJqe0aVLF9y6dQsTJkxASkoK6tSpg6ioqAIXhxMREdGrh0XTv4SFhRV6Oq4kpqammDhxYqGn7MoKM5VMaXkAZpJLaZmUlgdgJrmUlklpeQBmyqcSQs49dkRERESvNk5uSURERCQDiyYiIiIiGVg0EREREcnAoomIiIhIBt499x/lP39OSXcUMFPJlJYnIyMDKSkpAABHR0fFzCrP/WRYefJx3EqmxExKGzeAmQoonSe3vVp27twp2rZtK2xtbYVarRZqtVrY2tqKtm3biujoaGZSaCal5RFCiOXLlwtvb28pT/7L29tbrFixokwycT8ZXh4hOG6GmkmJ48ZMRWPRpKM1a9YIY2Nj0bVrV7F69Wqxbds2sW3bNrF69WrRrVs3YWJiIr799ltmUlgmpeURQojZs2cLCwsLMWbMGLFnzx6RmJgoEhMTxZ49e0RERISwtLQUX3zxhV4zcT8ZXh4hOG6GmkmJ48ZMxWPRpCNPT0+xcOHCItsXLVokPDw89JiImQwxjxBCuLi4iE2bNhXZvnHjRuHs7KzHRNxPhphHCI6bXErLpMRxY6bisWjSkampqTh37lyR7efOnRNmZmZ6TMRMhphHCCHMzMxEYmJike0JCQnC3Nxcj4m4nwwxjxAcN7mUlkmJ48ZMxePdczqqUaMGVq5cWWT7qlWr4OPjo8dEzGSIeQCgQYMGmDlzJp48eVKgLTc3F7NmzUKDBg30mon7yfDyABw3Q82kxHFjpuLxMSo62rt3L9566y1UrVoVQUFB0sN8U1NTERMTgytXriAyMhKBgYHMpKBMSssDAKdOnUJwcDAeP36MwMBArUz79++HRqPBzp07UbNmTb1l4n4yvDwAx81QMylx3JipeCyansPVq1exZMkSHD58WOuW1YCAAAwcOBBubm7MpMBMSssDAPfu3cN3331XaKbu3bvD2tpa75m4nwwvD8BxM9RMShw3ZioaiyYiIiIiGTi55XN68uQJEhISpIq3cuXK8Pb2homJCTMpOJPS8gBASkoKjhw5opWpYcOGcHR0LLNM3E+GlwfguBlqJiWOGzMVQS+Xm79EcnNzxdixY4Wtra1QqVRaL1tbWzFu3DiRm5vLTArLpLQ8Qghx//590aNHD2FkZCSMjY2Fvb29sLe3F8bGxsLIyEh88MEHIisrS6+ZuJ8ML48QHDdDzaTEcWOm4rFo0tHIkSOFnZ2dWLp0qUhKShIPHjwQDx48EElJSWLZsmXC3t5ejBo1ipkUlklpeYQQom/fvsLT01NERUWJJ0+eSMufPHkiduzYIapVqyb69eun10zcT4aXRwiOm6FmUuK4MVPxWDTpyMHBQURFRRXZHhUVJezt7fWYiJkMMY8QQtja2oqDBw8W2X7gwAFha2urx0TcT4aYRwiOm1xKy6TEcWOm4nGeJh3du3cPTk5ORbZXrlwZWVlZekzETIaYBwDy8vKg0WiKbNdoNMjLy9NjIu4nQ8wDcNzkUlomJY4bM5VAL6XZS6Rdu3aiTZs24tatWwXabt26Jd58800REhLCTArLpLQ8QgjRvXt3UbduXREfH1+gLT4+Xvj5+YkePXroNRP3k+HlEYLjZqiZlDhuzFQ8Fk06Sk5OFjVr1hTGxsaibt264s033xRvvvmmqFu3rjA2Nha1atUSycnJzKSwTErLI4QQd+7cEW+++aZQqVSiQoUKwsvLS3h5eYkKFSoItVot2rZtK+7evavXTNxPhpdHCI6boWZS4rgxU/E4T9NzyMvLw44dOwqdZKtNmzZQq/V/1pOZDC9PvnPnziE2NrZAJi8vrzLJw/1kmHk4boaZSYnjxkxFY9FEREREJAMvBCciIiKSgUXTf+Du7o7WrVtrLQsKCkLVqlXLKBEzGWIeAFCr1ahRo4bWMm9vbxgZGZVRIu4nQ8wDcNzkUlomJY4bMxXEx6j8B6GhobCzs9Na9u677+L27dtllIiZDDEPAKxatQq2trZay2bMmIGMjIyyCQTuJ0PMA3Dc5FJaJiWOGzMVxGuaiIiIiGTg6TkihcjOzkZ2dnZZx1A8pe0npeVRKiXuJyVmImVj0fQcEhMT8fHHH6Nu3bqoXLkyKleujLp16+Ljjz9GYmIiMyk0k9LyAEB0dDTatWuH8uXLw8LCAhYWFihfvjzatWuHXbt2lUkm7ifDywNw3Aw1kxLHjZmKxtNzOtq+fTs6dOiAevXqITg4GA4ODgCA1NRUREdHIy4uDr/++iuCg4OZSUGZlJYHANauXYt+/frhvffeK5Bp586d+PHHH7Fy5Up8+OGHesvE/WR4eQCOm6FmUuK4MVMJ9DKF5kukVq1aYvz48UW2T5w4Ufj6+uoxETMZYh4hhPD09BQLFy4ssn3RokXCw8NDj4m4nwwxjxAcN7mUlkmJ48ZMxWPRpCMzMzNx7ty5ItvPnTsnzMzM9JiImQwxjxBCmJqaKi4T95Ph5RGC4yaX0jIpcdyYqXi8pklHbm5uiIyMLLI9MjISrq6uekzETIaYBwBq1KiBlStXFtm+atUq+Pj46DER95Mh5gE4bnIpLZMSx42Zisd5mnQ0ZcoUdO/eHXv37kVQUJDWudWYmBhERUVhw4YNzKSwTErLAwBz5szBW2+9haioqEIzXblypdi/KF4E7ifDywNw3Aw1kxLHjZlKoJfjWS+ZgwcPii5duggXFxeh0WiERqMRLi4uokuXLuLQoUPMpNBMSssjhBBJSUli1KhRIjAwUFSrVk1Uq1ZNBAYGitGjR4ukpKQyycT9ZHh5hOC4GWomJY4bMxWNd88RERERycDTc/9BRkYGUlJSAACOjo6wsbEp40TMZIh5njx5goSEBClT5cqV4e3tDRMTkzLNxf1kWHnycdwMM5PSxg1gpkLp7ZjWS2T58uXC29tbqNVqoVarhUqlEmq1Wnh7e4sVK1Ywk0IzKS1Pbm6uGDt2rLC1tRUqlUrrZWtrK8aNGydyc3P1nov7ybDy5OO4GWYmpY0bMxWPRZOOZs+eLSwsLMSYMWPEnj17RGJiokhMTBR79uwRERERwtLSUnzxxRfMpLBMSssjhBAjR44UdnZ2YunSpSIpKUk8ePBAPHjwQCQlJYlly5YJe3t7MWrUKL1m4n4yvDxCcNwMNZMSx42ZiseiSUcuLi5i06ZNRbZv3LhRODs76zERMxliHiGEcHBwEFFRUUW2R0VFCXt7ez0m4n4yxDxCcNzkUlomJY4bMxWP8zTpKC0tDb6+vkW2+/r64vbt23pMxEyGmAcA7t27BycnpyLbK1eujKysLD0m4n4yxDwAx00upWVS4rgxU/FYNOmoQYMGmDlzJp48eVKgLTc3F7NmzUKDBg2YSWGZlJYHAJo3b44RI0YU+j/77du3MXr0aDRv3lyvmbifDC8PwHEz1ExKHDdmKh6nHNDRqVOnEBwcjMePHyMwMFBrkq39+/dDo9Fg586dqFmzJjMpKJPS8gDA9evX0a5dO5w7dw6+vr5amU6fPg0fHx9s3boVzs7OesvE/WR4eQCOm6FmUuK4MVPxWDQ9h3v37uG7777D4cOHtW59DAgIQPfu3WFtbc1MCsyktDwAkJeXhx07dhSaqU2bNlCr9X8wmPvJ8PIAHDdDzaTEcWOmorFoIiIiIpKB1zQRERERycCi6T9o0aIFevXqpbUsNDQULVu2LJtAYCZDzAMA7u7uaN26tdayoKAgVK1atYwScT8ZYh6A4yaX0jIpcdyYqSA+RuU/cHNzQ+XKlbWWvfbaa2Vynj4fMxleHuDp//R2dnZay959912939r7LO4nw8sDcNzkUlomJY4bMxXEa5qIiIiIZODpOSIiIiIZeHruOdy+fRurVq1CbGys1q2PjRs3Rq9evQoc8mUmZWRSWh4ASExMxMKFCwtkCggIQFhYGHx8fPSeifvJ8PIAHDdDzaTEcWOmovH0nI6OHTuG4OBgWFhYICgoSGuSrZiYGDx48AA7duxA/fr1mUlBmZSWBwC2b9+ODh06oF69eggODtbKFB0djbi4OPz6668IDg7WWybuJ8PLA3DcDDWTEseNmUqglyfcvUT8/f3FgAEDRF5eXoG2vLw8MWDAANGoUSNmUlgmpeURQohatWqJ8ePHF9k+ceJE4evrq8dE3E+GmEcIjptcSsukxHFjpuKxaNKRmZmZOHv2bJHtZ8+eFWZmZnpMxEyGmEeIp5nOnTtXZPu5c+de+XETQnn7SWl5hOC4yaW0TEodN2YqGi8E15GjoyOOHj1aZPvRo0elQ4f6wkyGlwd4eutsZGRkke2RkZFwdXXVYyLuJ0PMA3Dc5FJaJiWOGzMVjxeC62jEiBEYMGAA4uLi0KpVqwLnVpcvX44vv/ySmRSWSWl5AGDKlCno3r079u7dW+h5+qioKGzYsEGvmbifDC8PwHEz1ExKHDdmKoFejme9ZDZu3Cj8/f2FsbGxUKlUQqVSCWNjY+Hv7y82bdrETArNpLQ8Qghx8OBB0aVLF+Hi4iI0Go3QaDTCxcVFdOnSRRw6dKhMMnE/GV4eIThuhppJiePGTEXj3XP/wePHj6XZYytVqgQTE5MyTsRMhphHqbifDBPHzTApcdyYqSAWTf9RdnY2AMDU1LSMk/wPM5VMaXkyMjK05h6xsbEp40RPcT8ZVp58HLeSKTGT0sYNYKYC9HZM6yWyc+dO0bZtW2FrayvUarVQq9XC1tZWtG3bVkRHRzOTQjMpLY8QQixfvlx4e3tLeVQqlVCr1cLb21usWLGiTDJxPxleHiE4boaaSYnjxkxFY9GkozVr1ghjY2PRtWtXsXr1arFt2zaxbds2sXr1atGtWzdhYmIivv32W2ZSWCal5RFCiNmzZwsLCwsxZswYsWfPHpGYmCgSExPFnj17REREhLC0tBRffPGFXjNxPxleHiE4boaaSYnjxkzFY9GkI09PT7Fw4cIi2xctWiQ8PDz0mIiZDDGPEEK4uLgUewHjxo0bhbOzsx4TcT8ZYh4hOG5yKS2TEseNmYrHoklHpqamipocTQhmMsQ8QjydsC0xMbHI9oSEBGFubq7HRNxPhphHCI6bXErLpMRxY6bicXJLHdWoUQMrV64ssn3VqlV6f+AjMxleHgBo0KABZs6ciSdPnhRoy83NxaxZs9CgQQO9ZuJ+Mrw8AMfNUDMpcdyYqXi8e05He/fuxVtvvYWqVasWOjnalStXEBkZicDAQGZSUCal5QGAU6dOITg4GI8fP0ZgYKBWpv3790Oj0WDnzp2oWbOm3jJxPxleHoDjZqiZlDhuzFQ8Fk3P4erVq1iyZAkOHz6sdctqQEAABg4cCDc3N2ZSYCal5QGAe/fu4bvvvis0U/fu3WFtba33TNxPhpcH4LgZaiYljhszFY1FExEREZEMvKaJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMLJpIr5KSkgqdI4X+h/tHPt7HQvTqKovfJyyansPff/+N7777Dtu2bUNOTo5WW1ZWFqZMmaL3TNHR0Zg4cSJ2794NANi/fz/atm2Lli1bYvXq1XrPU5Tq1avj4sWLZR0DN2/exMSJE9GjRw+MGDEC586d03uGqKgonD59GgCQl5eHzz//HK+99hpMTU1RpUoVzJw5U+9FQfv27bFu3To8fPhQr9stTnZ2NkaMGIHAwEDMmjULADB16lRYWVmhXLly6N69OzIzM/Wa6c8//0TPnj1RtWpVmJubw9LSEr6+vhg/frzes+RLTEzExx9/jLp166Jy5cqoXLky6tati48//hiJiYllkqk4ly9fRsuWLcs6hpayyMTfJ8+vTH6f6GXe8ZfI0aNHha2trbC2thbm5ubCw8NDnDlzRmpPSUkRarVar5nWrVsnjI2NRb169YSVlZVYvXq1sLW1Ff369RN9+vQRGo1GbN68Wa+Z3n333UJfarVaBAUFSe/1xdzcXKSlpQkhnj4qwcbGRnh4eIjOnTsLLy8vYWFhIf7880+95RFCiOrVq4v9+/cLIYSYPn26qFixopg7d67Yvn27mD9/vnBwcBAzZ87UayaVSiWMjY2FjY2NGDhwoDh+/Lhet1+Y4cOHCycnJ/Hpp58Kb29v8fHHHwsXFxfx3XffiQ0bNggPDw8xZMgQveWJiooS5ubmolOnTuKDDz4QFhYWIiwsTIwePVp4eHiI119/Xfz99996yyOEENu2bRMajUY0atRITJw4USxevFgsXrxYTJw4UTRu3FiYmpqKqKgovWYqycmTJ/X+d2VJ9J2Jv0/kUdLvE87TpKPWrVvD2dkZK1asQFZWFkaPHo0ffvgB0dHRqFu3LlJTU+Hk5ITc3Fy9Zapbty569+6NoUOHIiYmBu3bt8e0adMwfPhwAMCcOXPw888/48CBA3rLpFarERgYCHd3d63l3377Ld5++23Y2toCgN7+1aJWq5GSkgJ7e3t06NABeXl52LJlC4yNjZGXl4cePXrg/v37+P333/WSBwDMzMxw4cIFuLi4wNfXFxMmTEDnzp2l9sjISAwbNkyv/5JSq9U4c+YMdu7ciVWrViEhIQG+vr7o168fevTogfLly+stSz4XFxesWrUKQUFBuHLlCjw9PbFlyxa88847AJ7+q7h///64evWqXvLUrVsXH330EQYOHChtf+jQoTh79iweP36Mtm3bwtnZWa//Iq9duzbeeeedIo9KTJo0CVu2bMGpU6f0lumrr74qtv2vv/7Cl19+qde/K5WWib9P5FHU7xO9lGYvkfLly4vz589rLZsxY4YoX768OHr0aJn8y8DS0lJcuXJFem9iYqJ11OTs2bOiYsWKes30/fffiypVqohVq1ZpLTc2NhYJCQl6zSLE0yMoqampQgghnJ2dpSM8+eLj40XlypX1mqly5coiNjZWCCGEg4ODiI+P12q/cOGC3h9o+ux+EkKII0eOiAEDBggbGxthbm4uunXrJmJiYvSaydzcXFy7dk16b2JiovWv8aSkJGFhYaG3PGZmZiIpKUl6n5eXJ0xMTMTNmzeFEELs379f2NnZ6S1PfialPNA0n0qlEk5OTsLNza3Ql5OTk97/rlRaJv4+kUdJv094TdNzePTokdb7MWPG4LPPPkObNm1w6NAhvecxMTHROhduamoKKysrrff6vkala9eu+OOPP7By5Up06tQJd+/e1ev2/02lUkGlUgF4+q8WGxsbrXZbW1u9Z3z33Xcxbdo05Obm4p133sHixYu1rmH6+uuvUadOHb1m+reGDRti2bJluHnzJhYvXozr16+jdevWes3g4uKC2NhYAMCxY8egUqlw9OhRqf3IkSN47bXX9Jbntddew/nz56X3ly9fRl5eHipWrAgAqFKlCu7fv6+3PADg5uaGyMjIItsjIyPh6uqqx0SAq6sr5s2bh6SkpEJfxeV9lTLx90nJlPT7xLjMtmygatasiUOHDqFWrVpay0eMGIG8vDx069ZN75k8PDxw7tw5VK9eHcDTQ8zlypWT2i9fvowqVaroPZebmxv279+PyZMno3bt2li+fLlUuOibEALVqlWDSqXC/fv3cerUKa0xvHTpEhwdHfWaafr06QgKCoKXlxcCAgKwefNmREdHo1q1arh06RLu3LmDHTt26DVTUSwsLNCrVy/06tULFy5c0Ou2Bw4ciF69emHFihWIi4vDl19+ic8++wznzp2DWq3GkiVL8Omnn+otT8+ePdGvXz+MHTsWpqammDt3Lt5++21oNBoAwMmTJwucRnjRpkyZgu7du2Pv3r2FPtA0KioKGzZs0GsmPz8/xMXF4f333y+0XaVS6f1GB6Vl4u8T+RTz+0Svx7VeAsuXLxcffPBBke0zZ84Ubm5uekwkxJYtW8S+ffuKbJ8xY4YYN26cHhMV9Mcffwh3d3ehVqvL5PTcmjVrtF75p8XyTZkyRQwfPlzvuXJycsSSJUtEu3bthJeXl6hWrZpo1qyZ+Oyzz8T169f1nqd58+bi7t27et9uSdavXy/CwsLEhg0bhBBC7NmzR7zxxhvCz89PTJo0SeTm5uoty+PHj8WoUaOEk5OTqFixoujevbu4deuW1H7kyJFi/398UQ4ePCi6dOkiXFxchEajERqNRri4uIguXbqIQ4cO6T1PQkKCOHbsWJHtOTk54urVq3pMpLxM/H3yfMry9wkvBCe9uX//Pi5fvgxvb2/pX+VERES6yv994uXlBVNTU71tl0UTEdFLSgiBvLw8GBkZlXUUiVIyZWRkICUlBQDg6OhY4DrHVz0PwEyF4YXgz2Hbtm3o168fRo0aVWBSxLt375bJhG1Kz3T27Nkyz8R9pHsmJe4nJWRS2rg9efIE48aNQ7NmzTBx4kQAwBdffAErKytYWFggNDS0wMSJr2ImAFixYgV8fHxQoUIF+Pj4aP155cqVr3weQ8nk7e1dNpn0ejLwJbB+/XphZGQkQkJCRNOmTYWZmZn47rvvpPayuEWUmQwvDzMZbial5RFCiHHjxgkHBwcRHh4ufHx8xMCBA4Wzs7P47rvvxNq1a8Vrr70mZs2a9cpnmj17trCwsBBjxowRe/bsEYmJiSIxMVHs2bNHRERECEtLS/HFF1+8snmYqWQsmnRUp04dsWDBAun9pk2bhKWlpVixYoUQomz+wmQmw8vDTIabSWl5hBCiatWq4vfffxdCCHHx4kWhVqvFxo0btTLWrFnzlc/k4uIiNm3aVGT7xo0bhbOz8yubRwhmKgmLJh39e+IvIYTYvXu3sLKyEkuWLFHEZGTMpPw8zGS4mZSWR4ink1smJydrvT979qz0/sqVK6JcuXLMZGYmEhMTi2xPSEjQ64SySssjBDOVhPM06cja2hqpqala87C0aNECW7duxVtvvYUbN24wkwIzKS0PMxluJqXlAQAbGxukp6fD2dkZAFCvXj2tuXWys7P1PqeNEjM1aNAAM2fOxMqVK2FsrP3rLzc3F7NmzUKDBg1e2TzMVDIWTTpq2LAhtm/fjkaNGmktb9asGX7//Xe89dZbzKTATErLw0yGm0lpeQDAx8cH8fHx8PX1BQAcPHhQq/306dPw9PR85TMtXLgQwcHBcHR0RGBgoNYkoPv374dGo8HOnTtf2TzMVDLePaej4cOHw8zMrNC25s2b4/fff0fPnj2ZSWGZlJaHmQw3k9LyAMDSpUsRGBhYZPvjx48xatQoPSZSZqZatWrhwoUL+Pzzz1GuXDlcuXIFV65cQbly5TB16lScO3cONWvWfGXzMFPJOE8TERERkQw80lQKQkJC8Pfff5d1DC3MVDKl5QGYSS6lZVJaHoCZ5FJaJqXlAZjpWSyaSsH+/fv1/tTnkjBTyZSWB2AmuZSWSWl5AGaSS2mZlJYHYKZnsWgiIiIikoFFUylwdXWFiYlJWcfQwkwlU1oegJnkUlompeUBmEkupWVSWh6AmZ7FC8GJiIiIZOCRpueUl5dX5PLk5GQ9p/nftotazkz/225Ry7mPtLdd1HJm+t92i1rOfaS97aKWl1WmomRlZWH//v1lHUOitDwAM7Fo0lFmZibef/99WFpawsHBARMmTEBubq7UfuvWLa2ZgplJGZmUloeZDDeT0vIwU+m5dOkSWrRoUdYxJErLAzATZwTX0fjx4/Hnn39i3bp1SE9Px9SpUxEfH48tW7ZAo9EAAPR9xpOZDC8PMxluJqXlYSYiPdLLE+5eIi4uLmLPnj3S+1u3bomGDRuKNm3aiEePHpXJwzqZyfDyMJPhZlJaHmaSr3z58sW+rK2t9ZpJaXmYqWS8EFxHFhYWSEhI0DqsfO/ePQQHB8Pc3BwrVqyAh4eH1mFoZir7TErLw0yGm0lpeZhJPktLSwwaNEh6Ht6/Xbt2DZMnT9ZbJqXlYSYZ9FKavUSqV68uIiMjCyy/d++eCAgIELVr19Z7Fc5MhpeHmQw3k9LyMJN8jRs3FvPnzy+y/eTJk3rNpLQ8QjBTSXghuI7atGmD1atXF1huZWWFHTt2FPkgT2Yq20xKy8NMhptJaXmYSb6QkBCkp6cX2V6hQgW9PmxZaXkAZioJT8/p6O7du7h58yZq1KhRaPu9e/cQHx+PZs2aMZOCMiktDzMZbial5WEmIv1h0UREREQkA0/PlbLU1FRMmTKlrGNoYaaSKS0PwExyKS2T0vIAzPSsnJwc/PDDDxg+fDi6deuGbt26Yfjw4di8eTNycnJe+TzMVDweaSplf/75J+rVq6fXOwtKwkwlU1oegJnkUlompeUBmCnfpUuXEBwcjJs3b8Lf3x8ODg4AnhZwR44cQZUqVbB9+3Z4eHi8knmYqWSc3FJHp06dKrb9/PnzekryP8xUMqXlAZhJLqVlUloegJnkyr9t/cSJE7C2ttZqy8zMRM+ePTF48GDs2LHjlczDTCXjkSYdqdVqqFSqQmeyzV+uUqn0+q8nZjK8PMxkuJmUloeZ5LOwsMDRo0dRs2bNQttPnz4Nf39/PHjw4JXMw0wl45EmHVWoUAGzZ89Gq1atCm1PSEhA+/btmUlhmZSWh5kMN5PS8jCTfLa2trh69WqRv3yvXr0KW1vbVzYPM5WMRZOO/Pz8cPPmTbi6uhbanp6ervfnKTGT4eVhJsPNpLQ8zCRfv3790LNnT4wfPx6tWrXSujYmJiYGU6dOxZAhQ17ZPMwkw4ucOfNltGXLFrFu3boi2+/cuSPWrFmjx0TMZIh5hGAmuZSWSWl5hGAmXcycOVNUrlxZqFQqoVarhVqtFiqVSlSuXFnMmjXrlc/DTMXjNU1ERPTKSUpKQkpKCgDA0dFR6xl5zPMUMxXEeZpKwcGDB5GdnV3WMbQwU8mUlgdgJrmUlklpeQBmKom7uzsCAgKQl5cHJyenso6juDwAMxWGR5pKgbW1NU6ePImqVauWdRQJM5VMaXkAZpJLaZmUlgdgJrmUlklpeQBmehaPNJUCJdadzFQypeUBmEkupWVSWh6AmeRSWial5QGY6VksmoiIiIhkYNFUCpYtWybdAqkUzFQypeUBmEkupWVSWh6AmeRSWial5QGY6Vm8pomIiF5pe/fuhb+/P8zNzcs6CgDl5QGYKR+PND2HFStWIDQ0FKtXrwYAbNq0Cd7e3qhatSomTpzITArNpLQ8zGS4mZSWh5n+mzZt2uDq1atlHUOitDwAM0n0NiPUS2LevHnC0tJSdOzYUVSuXFlMnTpVVKxYUUydOlVMnjxZWFtbi2XLljGTwjIpLQ8zGW4mpeVhJvnq1q1b6EulUglvb2/p/auah5lKxqJJR15eXmL9+vVCCCHi4+OFsbGxWLFihdS+YsUK4efnx0wKy6S0PMxkuJmUloeZ5DM2NhZvvvmmmDRpkvSaOHGiUKvV4uOPP5aWvap5mKlkLJp0ZG5uLq5duya9NzU1FWfOnJHeX7x4Udja2jKTwjIpLQ8zGW4mpeVhJvkOHDggXn/9dTFhwgSRm5srLTc2NhYJCQl6zaLEPMxUMl7TpCMLCwtkZWVJ7+3s7GBlZaXV58mTJ8yksExKy8NMhptJaXmYSb4mTZogLi4OFy5cQOPGjXH58mW9bl/peZipZCyadOTl5YVTp05J769fv671FO9z587Bzc2NmRSWSWl5mMlwMyktDzPpxsbGBt9//z0++ugjNG3aFN988w1UKpXecyg1DzMVz1jvWzRws2bNgqWlZZHtycnJ+Oijj/SYiJkMMQ/ATHIpLZPS8gDM9Dx69+6Npk2bokePHno/4mUIeQBmKgznaSIioldWXl4e7t27B2tr6zI/mqLEPAAzPYtFExEREZEMvKbpOSxevBhBQUF4//33ERMTo9V2+/btMnkSNDMZXh5mMtxMSsvDTIabSWl5mKl4LJp09NVXX2HkyJHw8vKCqakp2rVrhxkzZkjtubm5uHbtGjMpLJPS8jCT4WZSWh5mMtxMSsvDTDLodYKDl4CPj480YZsQQhw8eFDY2dmJ8ePHCyGESElJEWq1mpkUlklpeZjJcDMpLQ8zGW4mpeVhppKxaNKRubm5SEpK0lp2+vRp4eDgIMaMGVMmP1DMZHh5mMlwMyktDzMZbial5WGmknHKAR1VqlQJ169f15pfpGbNmti9ezdatmyJmzdvMpMCMyktDzMZbial5WEmw82ktDzMJINeSrOXSLdu3cSwYcMKbTtz5oyws7PTexXOTIaXh5kMN5PS8jCT4WZSWh5mKhmPNOlozJgxiIuLK7StRo0a2L17N3766SdmUlgmpeVhJsPNpLQ8zGS4mZSWh5lKxnmaiIiIiGTgkabndPToUcTGxiIlJQUA4OjoiICAADRs2JCZFJxJaXmYyXAzKS0PMxluJqXlYaZi6OUk4EskNTVVNGnSRKhUKuHq6ioaNmwoGjZsKFxdXYVKpRJNmzYVqampzKSwTErLw0yGm0lpeZjJcDMpLQ8zlYxFk446deokAgICxLlz5wq0nTt3TjRu3Fi89957zKSwTErLw0yGm0lpeZjJcDMpLQ8zlYxFk46srKxEfHx8ke3Hjx8XVlZWekzETIaYRwhmkktpmZSWRwhmkktpmZSWRwhmKgkfo6IjU1NTZGZmFtl+7949mJqa6jERMxliHoCZ5FJaJqXlAZhJLqVlUloegJlKpJfS7CXy8ccfC1dXV7FlyxaRkZEhLc/IyBBbtmwRbm5uIiwsjJkUlklpeZjJcDMpLQ8zGW4mpeVhppKxaNLRo0ePxMCBA4VGoxFqtVqYmZkJMzMzoVarhUajEYMGDRKPHj1iJoVlUloeZjLcTErLw0yGm0lpeZipZJyn6TllZmYiLi5O69ZHPz8/WFtbM5OCMyktDzMZbial5WEmw82ktDzMVDQWTUREREQy8ELw5/Dw4UMcOHAAiYmJBdoePXqEb7/9lpkUmElpeZjJcDMpLQ8zGW4mpeVhphLo5STgS+T8+fPShFpqtVoEBgaKv/76S2pPSUnR+8MMmcnw8jCT4WZSWh5mMtxMSsvDTCXjkSYdjR49GjVr1kRaWhrOnz+PcuXKoWnTpkhOTmYmBWdSWh5mMtxMSsvDTIabSWl5mEkGvZRmLxF7e3tx6tQp6X1eXp4YOHCgcHFxEZcvXy6TKpyZDC8PMxluJqXlYSbDzaS0PMxUMh5p0tHDhw9hbPy/5xyrVCosWbIE7du3R7NmzXDhwgVmUmAmpeVhJsPNpLQ8zGS4mZSWh5lKZlxyF3qWl5cXjh8/Dm9vb63lCxcuBAC8/fbbzKTATErLw0yGm0lpeZjJcDMpLQ8zyaCX41kvkenTp4u2bdsW2T5o0CChUqn0mIiZDDGPEMwkl9IyKS2PEMwkl9IyKS2PEMxUEs7TRERERCQDr2kiIiIikoFFExEREZEMLJqIiIiIZGDRRERERCQDiyYiUrxevXqhQ4cOZbb9Dz/8ENOnTy+z7Rfl9u3bsLe3x40bN8o6CtErgXfPEVGZUqlUxbZPnDgRw4cPhxACtra2+gn1jD///BMtW7bEtWvXYGVlBQBo3rw59u3bBwDQaDSoVKkS6tWrh969e6Njx456zTdixAjcvXsXK1eu1Ot2iV5FLJqIqEylpKRIf960aRMmTJiA8+fPS8usrKykYqUs9OvXD8bGxli6dKm0rHnz5qhWrRqmTJmCJ0+e4MaNG/j5558xb9489OrVC998843e8iUkJMDPzw83b95EhQoV9LZdolcRT88RUZlydHSUXjY2NlCpVFrLrKysCpyea968OYYMGYJhw4ahfPnycHBwwPLly5GVlYXevXujXLly8PDwwPbt27W2debMGbRt2xZWVlZwcHDAhx9+iNu3bxeZLTc3Fz/++CPat29foM3CwgKOjo6oUqUKGjVqhFmzZmHZsmVYvnw5du3aJfUbPXo0qlWrBgsLC1StWhXjx4/H48ePAQBXr16FWq3G8ePHtdY9f/58uLq6Ii8vD3fv3kWPHj1gZ2cHc3NzeHp6YvXq1VLfGjVqwMnJCT///LNO+52IdMeiiYgM0tq1a1GpUiUcPXoUQ4YMwaBBg9C5c2c0btwY8fHxaNOmDT788EM8ePAAAJCeno6WLVuibt26OH78OKKiopCamor333+/yG2cOnUKGRkZqF+/vqxMoaGhKF++PLZs2SItK1euHNasWYPExEQsWLAAy5cvx7x58wAAbm5uCAoK0iqCAGD16tXo1asX1Go1xo8fj8TERGzfvh1nz57FkiVLUKlSJa3+DRs2xB9//CErIxE9PxZNRGSQateujXHjxsHT0xMREREwMzNDpUqV0L9/f3h6emLChAn4559/cOrUKQBPn1NVt25dTJ8+HV5eXqhbty5WrVqFPXv2FPnAz2vXrsHIyAj29vayMqnValSrVg1Xr16Vlo0bNw6NGzeGm5sb2rdvjxEjRuCHH36Q2vv164fvv/8e2dnZAID4+HicPn0avXv3BgAkJyejbt26qF+/vlRk/fvIl5OTE65duyZ73xHR82HRREQGqVatWtKfjYyMULFiRfj6+krLHBwcAABpaWkAnl7QvWfPHukaKSsrK3h5eQEALl++XOg2Hj58CFNT0xIvVn+WEEKr/6ZNm9CkSRPpVOO4ceOQnJwstXfo0AFGRkbS6bU1a9agRYsWcHNzAwAMGjQIGzduRJ06dTBq1CgcOnSowDbNzc2lI2pE9OKwaCIig2RiYqL1XqVSaS3LL1zy8vIAAPfv30f79u1x8uRJrdfFixcRGBhY6DYqVaqEBw8eICcnR1am3NxcXLx4Ee7u7gCA2NhY9OjRA+3atcPWrVtx4sQJjB07Vmt9Go0GPXv2xOrVq5GTk4MNGzagT58+Unvbtm1x7do1DB8+HDdv3kSrVq0wYsQIre3euXMHdnZ2sjIS0fMzLusARET6UK9ePfz0009wc3ODsbG8v/rq1KkDAEhMTJT+XJy1a9fi7t276NSpEwDg0KFDcHV1xdixY6U+hZ1G69evH2rWrInFixfjyZMnBaYtsLOzQ2hoKEJDQ/HGG29g5MiR+PLLL6X2M2fOoHnz5rK+ExE9Px5pIqJXwuDBg3Hnzh1069YNx44dw+XLl7Fjxw707t0bubm5hX7Gzs4O9erVw4EDBwq0PXjwACkpKbhx4wYOHz6M0aNHY+DAgRg0aBBatGgBAPD09ERycjI2btyIy5cv46uvvir0Ljdvb280atQIo0ePRrdu3WBubi61TZgwAb/++isuXbqEhIQEbN26Fd7e3lo54uLi0KZNm/+6i4ioBCyaiOiV4OTkhIMHDyI3Nxdt2rSBr68vhg0bBltbW6jVRf9V2K9fP6xfv77A8uXLl6Ny5cp4/fXX0bFjRyQmJmLTpk1YvHix1Oftt9/G8OHDERYWhjp16uDQoUMYP358odvp27cvcnJytE7NAU9P30VERKBWrVoIDAyEkZERNm7cKLX/+uuvcHFxwRtvvKHrLiEiHXFySyKiYjx8+BDVq1fHpk2bEBAQ8MK28/nnn2Pz5s3S3X5yNWrUCEOHDkX37t1fUDIiyscjTURExTA3N8e3335b7CSY/8X9+/dx5swZLFy4EEOGDNHps7dv30bHjh3RrVu3F5KNiLTxSBMRURnq1asXvv/+e3To0AEbNmyAkZFRWUcioiKwaCIiIiKSgafniIiIiGRg0UREREQkA4smIiIiIhlYNBERERHJwKKJiIiISAYWTUREREQysGgiIiIikoFFExEREZEMLJqIiIiIZPg/AdjEZz3EFs4AAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for user in d_df['User First Name'].unique():\n",
" df_user_1 = d_df[d_df['User First Name'] == user]\n",
" df_user_1.plot(x ='Calendar Date (Local)', y='Stress Duration (s)', kind='bar'),\n",
" plt.ylim(ymin=0)\n",
" plt.xlim(xmin=0)\n",
" plt.ylabel(\"Stress Duration (s)\")\n",
" plt.xlabel(\"Time (Days)\")\n",
" plt.title(\"Stress Duration (s) for User \" + user)\n",
" \n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "7f05f275-ce75-4c98-bb0c-35bd12e496c5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" Stress Level (avg)\n",
"User First Name \n",
"P10 35.538462\n",
"P11 46.625000\n",
"P12 34.125000\n",
"P13 38.500000\n",
"P14 37.250000\n",
"---------------------------\n",
" Stress Duration (s)\n",
"User First Name \n",
"P10 32307.692308\n",
"P11 24262.500000\n",
"P12 43818.750000\n",
"P13 41940.000000\n",
"P14 40578.750000\n",
"---------------------------\n"
]
}
],
"source": [
"for category in ['Stress Level (avg)', 'Stress Duration (s)']:\n",
" df_user_group_cat_stress = pd.DataFrame(d_df.groupby(d_df['User First Name'])[category].mean())\n",
" print(df_user_group_cat_stress)\n",
" print(\"---------------------------\")"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "c19f7ebb-47b6-481f-bc6b-2f288917340d",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>User First Name_x</th>\n",
" <th>Calendar Date (Local)</th>\n",
" <th>Start Time (Local)</th>\n",
" <th>End Time (Local)</th>\n",
" <th>Duration (s)</th>\n",
" <th>Duration (h)</th>\n",
" <th>Rem Sleep Duration (s)</th>\n",
" <th>Deep Sleep Duration (s)</th>\n",
" <th>Light Sleep Duration (s)</th>\n",
" <th>Rem Sleep Duration (h)</th>\n",
" <th>Deep Sleep Duration (h)</th>\n",
" <th>Light Sleep Duration (h)</th>\n",
" <th>Source</th>\n",
" <th>Sleep Efficiency</th>\n",
" <th>Sleep Score Value</th>\n",
" <th>User First Name_y</th>\n",
" <th>Steps</th>\n",
" <th>Distance (m)</th>\n",
" <th>Stress Duration (s)</th>\n",
" <th>Stress Level (avg)</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>7.766667</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>2.333333</td>\n",
" <td>0.833333</td>\n",
" <td>4.600000</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>P10</td>\n",
" <td>3183</td>\n",
" <td>2419.080005</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>7.766667</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>2.333333</td>\n",
" <td>0.833333</td>\n",
" <td>4.600000</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>P12</td>\n",
" <td>36</td>\n",
" <td>27.360001</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T01:17:00</td>\n",
" <td>2023-12-22T09:03:00</td>\n",
" <td>27960</td>\n",
" <td>7.766667</td>\n",
" <td>8400</td>\n",
" <td>3000</td>\n",
" <td>16560</td>\n",
" <td>2.333333</td>\n",
" <td>0.833333</td>\n",
" <td>4.600000</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>94.0</td>\n",
" <td>P14</td>\n",
" <td>4060</td>\n",
" <td>3112.399995</td>\n",
" <td>28860.0</td>\n",
" <td>25.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T14:00:00</td>\n",
" <td>2023-12-23T10:40:00</td>\n",
" <td>74400</td>\n",
" <td>20.666667</td>\n",
" <td>0</td>\n",
" <td>18840</td>\n",
" <td>19260</td>\n",
" <td>0.000000</td>\n",
" <td>5.233333</td>\n",
" <td>5.350000</td>\n",
" <td>server</td>\n",
" <td>0.604032</td>\n",
" <td>NaN</td>\n",
" <td>P10</td>\n",
" <td>3183</td>\n",
" <td>2419.080005</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>P10</td>\n",
" <td>2023-12-22</td>\n",
" <td>2023-12-22T14:00:00</td>\n",
" <td>2023-12-23T10:40:00</td>\n",
" <td>74400</td>\n",
" <td>20.666667</td>\n",
" <td>0</td>\n",
" <td>18840</td>\n",
" <td>19260</td>\n",
" <td>0.000000</td>\n",
" <td>5.233333</td>\n",
" <td>5.350000</td>\n",
" <td>server</td>\n",
" <td>0.604032</td>\n",
" <td>NaN</td>\n",
" <td>P12</td>\n",
" <td>36</td>\n",
" <td>27.360001</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>709</th>\n",
" <td>P14</td>\n",
" <td>2024-01-07</td>\n",
" <td>2024-01-07T11:13:00</td>\n",
" <td>2024-01-07T14:01:00</td>\n",
" <td>10080</td>\n",
" <td>2.800000</td>\n",
" <td>0</td>\n",
" <td>9960</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" <td>2.766667</td>\n",
" <td>0.000000</td>\n",
" <td>server</td>\n",
" <td>1.000000</td>\n",
" <td>NaN</td>\n",
" <td>P14</td>\n",
" <td>456</td>\n",
" <td>346.559994</td>\n",
" <td>3360.0</td>\n",
" <td>70.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>710</th>\n",
" <td>P14</td>\n",
" <td>2023-12-21</td>\n",
" <td>2023-12-21T23:42:00</td>\n",
" <td>2023-12-22T07:36:00</td>\n",
" <td>28440</td>\n",
" <td>7.900000</td>\n",
" <td>7980</td>\n",
" <td>3420</td>\n",
" <td>16320</td>\n",
" <td>2.216667</td>\n",
" <td>0.950000</td>\n",
" <td>4.533333</td>\n",
" <td>device</td>\n",
" <td>0.974684</td>\n",
" <td>92.0</td>\n",
" <td>P14</td>\n",
" <td>3801</td>\n",
" <td>2905.960061</td>\n",
" <td>4320.0</td>\n",
" <td>9.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>711</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>7.550000</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>1.150000</td>\n",
" <td>1.833333</td>\n",
" <td>4.550000</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>P11</td>\n",
" <td>1480</td>\n",
" <td>1149.199994</td>\n",
" <td>9180.0</td>\n",
" <td>32.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>712</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>7.550000</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>1.150000</td>\n",
" <td>1.833333</td>\n",
" <td>4.550000</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>P12</td>\n",
" <td>4070</td>\n",
" <td>3147.600032</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>713</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>7.550000</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>1.150000</td>\n",
" <td>1.833333</td>\n",
" <td>4.550000</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>P14</td>\n",
" <td>799</td>\n",
" <td>607.239990</td>\n",
" <td>1740.0</td>\n",
" <td>11.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
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],
"text/plain": [
" User First Name_x Calendar Date (Local) Start Time (Local) \\\n",
"0 P10 2023-12-22 2023-12-22T01:17:00 \n",
"1 P10 2023-12-22 2023-12-22T01:17:00 \n",
"2 P10 2023-12-22 2023-12-22T01:17:00 \n",
"3 P10 2023-12-22 2023-12-22T14:00:00 \n",
"4 P10 2023-12-22 2023-12-22T14:00:00 \n",
".. ... ... ... \n",
"709 P14 2024-01-07 2024-01-07T11:13:00 \n",
"710 P14 2023-12-21 2023-12-21T23:42:00 \n",
"711 P14 2024-01-08 2024-01-08T00:01:00 \n",
"712 P14 2024-01-08 2024-01-08T00:01:00 \n",
"713 P14 2024-01-08 2024-01-08T00:01:00 \n",
"\n",
" End Time (Local) Duration (s) Duration (h) Rem Sleep Duration (s) \\\n",
"0 2023-12-22T09:03:00 27960 7.766667 8400 \n",
"1 2023-12-22T09:03:00 27960 7.766667 8400 \n",
"2 2023-12-22T09:03:00 27960 7.766667 8400 \n",
"3 2023-12-23T10:40:00 74400 20.666667 0 \n",
"4 2023-12-23T10:40:00 74400 20.666667 0 \n",
".. ... ... ... ... \n",
"709 2024-01-07T14:01:00 10080 2.800000 0 \n",
"710 2023-12-22T07:36:00 28440 7.900000 7980 \n",
"711 2024-01-08T07:34:00 27180 7.550000 4140 \n",
"712 2024-01-08T07:34:00 27180 7.550000 4140 \n",
"713 2024-01-08T07:34:00 27180 7.550000 4140 \n",
"\n",
" Deep Sleep Duration (s) Light Sleep Duration (s) \\\n",
"0 3000 16560 \n",
"1 3000 16560 \n",
"2 3000 16560 \n",
"3 18840 19260 \n",
"4 18840 19260 \n",
".. ... ... \n",
"709 9960 0 \n",
"710 3420 16320 \n",
"711 6600 16380 \n",
"712 6600 16380 \n",
"713 6600 16380 \n",
"\n",
" Rem Sleep Duration (h) Deep Sleep Duration (h) \\\n",
"0 2.333333 0.833333 \n",
"1 2.333333 0.833333 \n",
"2 2.333333 0.833333 \n",
"3 0.000000 5.233333 \n",
"4 0.000000 5.233333 \n",
".. ... ... \n",
"709 0.000000 2.766667 \n",
"710 2.216667 0.950000 \n",
"711 1.150000 1.833333 \n",
"712 1.150000 1.833333 \n",
"713 1.150000 1.833333 \n",
"\n",
" Light Sleep Duration (h) Source Sleep Efficiency Sleep Score Value \\\n",
"0 4.600000 device 1.000000 94.0 \n",
"1 4.600000 device 1.000000 94.0 \n",
"2 4.600000 device 1.000000 94.0 \n",
"3 5.350000 server 0.604032 NaN \n",
"4 5.350000 server 0.604032 NaN \n",
".. ... ... ... ... \n",
"709 0.000000 server 1.000000 NaN \n",
"710 4.533333 device 0.974684 92.0 \n",
"711 4.550000 device 0.997792 92.0 \n",
"712 4.550000 device 0.997792 92.0 \n",
"713 4.550000 device 0.997792 92.0 \n",
"\n",
" User First Name_y Steps Distance (m) Stress Duration (s) \\\n",
"0 P10 3183 2419.080005 NaN \n",
"1 P12 36 27.360001 NaN \n",
"2 P14 4060 3112.399995 28860.0 \n",
"3 P10 3183 2419.080005 NaN \n",
"4 P12 36 27.360001 NaN \n",
".. ... ... ... ... \n",
"709 P14 456 346.559994 3360.0 \n",
"710 P14 3801 2905.960061 4320.0 \n",
"711 P11 1480 1149.199994 9180.0 \n",
"712 P12 4070 3147.600032 NaN \n",
"713 P14 799 607.239990 1740.0 \n",
"\n",
" Stress Level (avg) \n",
"0 NaN \n",
"1 NaN \n",
"2 25.0 \n",
"3 NaN \n",
"4 NaN \n",
".. ... \n",
"709 70.0 \n",
"710 9.0 \n",
"711 32.0 \n",
"712 NaN \n",
"713 11.0 \n",
"\n",
"[714 rows x 20 columns]"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Trim columns\n",
"s_df_t = s_df.loc[:, ['User First Name', 'Calendar Date (Local)', 'Start Time (Local)', 'End Time (Local)', 'Duration (s)', 'Duration (h)', 'Rem Sleep Duration (s)', 'Deep Sleep Duration (s)', 'Light Sleep Duration (s)', 'Rem Sleep Duration (h)', 'Deep Sleep Duration (h)', 'Light Sleep Duration (h)', 'Source', 'Sleep Efficiency', 'Sleep Score Value']]\n",
"d_df_t = d_df.loc[:, ['User First Name', 'Calendar Date (Local)', 'Steps', 'Distance (m)', 'Stress Duration (s)', 'Stress Level (avg)']]\n",
"\n",
"# Join Sleep Dataset with Dailies Dataset\n",
"df_merged = pd.merge(s_df_t, d_df_t, on='Calendar Date (Local)', how='inner')\n",
"\n",
"df_merged.drop_duplicates(ignore_index=True, inplace=True)\n",
"\n",
"df_merged"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "5a7ee1c5-ac83-49b4-8606-a2254b057306",
"metadata": {},
"outputs": [
{
"data": {
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" <th>9</th>\n",
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" <td>2023-12-23T06:16:00</td>\n",
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" <td>3183</td>\n",
" <td>2419.080005</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
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" <th>24</th>\n",
" <td>P12</td>\n",
" <td>2023-12-23</td>\n",
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" <td>2023-12-23T08:45:00</td>\n",
" <td>28380</td>\n",
" <td>7.883333</td>\n",
" <td>48240</td>\n",
" <td>31680</td>\n",
" <td>172800</td>\n",
" <td>13.400000</td>\n",
" <td>8.800000</td>\n",
" <td>48.000000</td>\n",
" <td>device</td>\n",
" <td>-0.902748</td>\n",
" <td>67.0</td>\n",
" <td>P10</td>\n",
" <td>7682</td>\n",
" <td>5871.920027</td>\n",
" <td>72180.0</td>\n",
" <td>51.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>45</th>\n",
" <td>P10</td>\n",
" <td>2023-12-24</td>\n",
" <td>2023-12-24T01:13:00</td>\n",
" <td>2023-12-24T08:56:00</td>\n",
" <td>27780</td>\n",
" <td>7.716667</td>\n",
" <td>6000</td>\n",
" <td>5580</td>\n",
" <td>15060</td>\n",
" <td>1.666667</td>\n",
" <td>1.550000</td>\n",
" <td>4.183333</td>\n",
" <td>device</td>\n",
" <td>0.958963</td>\n",
" <td>81.0</td>\n",
" <td>P10</td>\n",
" <td>3409</td>\n",
" <td>2590.840038</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
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" <tr>\n",
" <th>60</th>\n",
" <td>P12</td>\n",
" <td>2023-12-24</td>\n",
" <td>2023-12-24T00:48:00</td>\n",
" <td>2023-12-24T05:14:40</td>\n",
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" <td>0.996250</td>\n",
" <td>56.0</td>\n",
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" <td>3409</td>\n",
" <td>2590.840038</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
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" <tr>\n",
" <th>63</th>\n",
" <td>P14</td>\n",
" <td>2023-12-24</td>\n",
" <td>2023-12-24T00:05:00</td>\n",
" <td>2023-12-24T09:45:00</td>\n",
" <td>34800</td>\n",
" <td>9.666667</td>\n",
" <td>10080</td>\n",
" <td>5760</td>\n",
" <td>18780</td>\n",
" <td>2.800000</td>\n",
" <td>1.600000</td>\n",
" <td>5.216667</td>\n",
" <td>device</td>\n",
" <td>0.994828</td>\n",
" <td>94.0</td>\n",
" <td>P10</td>\n",
" <td>3409</td>\n",
" <td>2590.840038</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>66</th>\n",
" <td>P10</td>\n",
" <td>2023-12-25</td>\n",
" <td>2023-12-25T01:07:00</td>\n",
" <td>2023-12-25T09:41:00</td>\n",
" <td>30840</td>\n",
" <td>8.566667</td>\n",
" <td>11160</td>\n",
" <td>6780</td>\n",
" <td>12900</td>\n",
" <td>3.100000</td>\n",
" <td>1.883333</td>\n",
" <td>3.583333</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>91.0</td>\n",
" <td>P10</td>\n",
" <td>2099</td>\n",
" <td>1595.239993</td>\n",
" <td>63900.0</td>\n",
" <td>40.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75</th>\n",
" <td>P12</td>\n",
" <td>2023-12-25</td>\n",
" <td>2023-12-25T00:31:00</td>\n",
" <td>2023-12-25T10:21:00</td>\n",
" <td>35400</td>\n",
" <td>9.833333</td>\n",
" <td>7200</td>\n",
" <td>3600</td>\n",
" <td>19920</td>\n",
" <td>2.000000</td>\n",
" <td>1.000000</td>\n",
" <td>5.533333</td>\n",
" <td>device</td>\n",
" <td>0.947458</td>\n",
" <td>89.0</td>\n",
" <td>P10</td>\n",
" <td>2099</td>\n",
" <td>1595.239993</td>\n",
" <td>63900.0</td>\n",
" <td>40.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>78</th>\n",
" <td>P14</td>\n",
" <td>2023-12-25</td>\n",
" <td>2023-12-25T00:10:00</td>\n",
" <td>2023-12-25T08:52:00</td>\n",
" <td>31320</td>\n",
" <td>8.700000</td>\n",
" <td>5640</td>\n",
" <td>4380</td>\n",
" <td>20580</td>\n",
" <td>1.566667</td>\n",
" <td>1.216667</td>\n",
" <td>5.716667</td>\n",
" <td>device</td>\n",
" <td>0.977012</td>\n",
" <td>89.0</td>\n",
" <td>P10</td>\n",
" <td>2099</td>\n",
" <td>1595.239993</td>\n",
" <td>63900.0</td>\n",
" <td>40.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>81</th>\n",
" <td>P10</td>\n",
" <td>2023-12-26</td>\n",
" <td>2023-12-26T01:50:00</td>\n",
" <td>2023-12-26T09:03:00</td>\n",
" <td>25980</td>\n",
" <td>7.216667</td>\n",
" <td>6960</td>\n",
" <td>6240</td>\n",
" <td>12780</td>\n",
" <td>1.933333</td>\n",
" <td>1.733333</td>\n",
" <td>3.550000</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>90.0</td>\n",
" <td>P10</td>\n",
" <td>7316</td>\n",
" <td>5592.560089</td>\n",
" <td>40260.0</td>\n",
" <td>37.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>87</th>\n",
" <td>P12</td>\n",
" <td>2023-12-26</td>\n",
" <td>2023-12-26T01:06:00</td>\n",
" <td>2023-12-26T09:38:00</td>\n",
" <td>30720</td>\n",
" <td>8.533333</td>\n",
" <td>2400</td>\n",
" <td>3600</td>\n",
" <td>20100</td>\n",
" <td>0.666667</td>\n",
" <td>1.000000</td>\n",
" <td>5.583333</td>\n",
" <td>device</td>\n",
" <td>0.882812</td>\n",
" <td>65.0</td>\n",
" <td>P10</td>\n",
" <td>7316</td>\n",
" <td>5592.560089</td>\n",
" <td>40260.0</td>\n",
" <td>37.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>90</th>\n",
" <td>P14</td>\n",
" <td>2023-12-26</td>\n",
" <td>2023-12-26T00:03:00</td>\n",
" <td>2023-12-26T09:58:00</td>\n",
" <td>35700</td>\n",
" <td>9.916667</td>\n",
" <td>8400</td>\n",
" <td>5040</td>\n",
" <td>22020</td>\n",
" <td>2.333333</td>\n",
" <td>1.400000</td>\n",
" <td>6.116667</td>\n",
" <td>device</td>\n",
" <td>0.993277</td>\n",
" <td>91.0</td>\n",
" <td>P10</td>\n",
" <td>7316</td>\n",
" <td>5592.560089</td>\n",
" <td>40260.0</td>\n",
" <td>37.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>96</th>\n",
" <td>P10</td>\n",
" <td>2023-12-27</td>\n",
" <td>2023-12-27T01:20:00</td>\n",
" <td>2023-12-27T09:16:00</td>\n",
" <td>28560</td>\n",
" <td>7.933333</td>\n",
" <td>8040</td>\n",
" <td>5460</td>\n",
" <td>14640</td>\n",
" <td>2.233333</td>\n",
" <td>1.516667</td>\n",
" <td>4.066667</td>\n",
" <td>device</td>\n",
" <td>0.985294</td>\n",
" <td>98.0</td>\n",
" <td>P10</td>\n",
" <td>13279</td>\n",
" <td>10092.040172</td>\n",
" <td>13800.0</td>\n",
" <td>47.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>102</th>\n",
" <td>P12</td>\n",
" <td>2023-12-27</td>\n",
" <td>2023-12-27T00:27:00</td>\n",
" <td>2023-12-27T07:52:00</td>\n",
" <td>26700</td>\n",
" <td>7.416667</td>\n",
" <td>6720</td>\n",
" <td>4140</td>\n",
" <td>14640</td>\n",
" <td>1.866667</td>\n",
" <td>1.150000</td>\n",
" <td>4.066667</td>\n",
" <td>device</td>\n",
" <td>0.955056</td>\n",
" <td>85.0</td>\n",
" <td>P10</td>\n",
" <td>13279</td>\n",
" <td>10092.040172</td>\n",
" <td>13800.0</td>\n",
" <td>47.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>108</th>\n",
" <td>P14</td>\n",
" <td>2023-12-27</td>\n",
" <td>2023-12-27T02:06:00</td>\n",
" <td>2023-12-27T07:03:55</td>\n",
" <td>17875</td>\n",
" <td>4.965278</td>\n",
" <td>3955</td>\n",
" <td>1740</td>\n",
" <td>12060</td>\n",
" <td>1.098611</td>\n",
" <td>0.483333</td>\n",
" <td>3.350000</td>\n",
" <td>device</td>\n",
" <td>0.993287</td>\n",
" <td>NaN</td>\n",
" <td>P10</td>\n",
" <td>13279</td>\n",
" <td>10092.040172</td>\n",
" <td>13800.0</td>\n",
" <td>47.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>147</th>\n",
" <td>P10</td>\n",
" <td>2023-12-28</td>\n",
" <td>2023-12-28T00:54:00</td>\n",
" <td>2023-12-28T08:48:00</td>\n",
" <td>28440</td>\n",
" <td>7.900000</td>\n",
" <td>6660</td>\n",
" <td>6960</td>\n",
" <td>14280</td>\n",
" <td>1.850000</td>\n",
" <td>1.933333</td>\n",
" <td>3.966667</td>\n",
" <td>device</td>\n",
" <td>0.981013</td>\n",
" <td>91.0</td>\n",
" <td>P10</td>\n",
" <td>11202</td>\n",
" <td>8523.520035</td>\n",
" <td>82140.0</td>\n",
" <td>36.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>155</th>\n",
" <td>P12</td>\n",
" <td>2023-12-28</td>\n",
" <td>2023-12-28T01:13:00</td>\n",
" <td>2023-12-28T07:31:00</td>\n",
" <td>22680</td>\n",
" <td>6.300000</td>\n",
" <td>4380</td>\n",
" <td>6240</td>\n",
" <td>12060</td>\n",
" <td>1.216667</td>\n",
" <td>1.733333</td>\n",
" <td>3.350000</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>79.0</td>\n",
" <td>P10</td>\n",
" <td>11202</td>\n",
" <td>8523.520035</td>\n",
" <td>82140.0</td>\n",
" <td>36.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>159</th>\n",
" <td>P14</td>\n",
" <td>2023-12-28</td>\n",
" <td>2023-12-28T01:44:00</td>\n",
" <td>2023-12-28T08:08:00</td>\n",
" <td>23040</td>\n",
" <td>6.400000</td>\n",
" <td>8280</td>\n",
" <td>1980</td>\n",
" <td>12780</td>\n",
" <td>2.300000</td>\n",
" <td>0.550000</td>\n",
" <td>3.550000</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>NaN</td>\n",
" <td>P10</td>\n",
" <td>11202</td>\n",
" <td>8523.520035</td>\n",
" <td>82140.0</td>\n",
" <td>36.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>231</th>\n",
" <td>P10</td>\n",
" <td>2023-12-29</td>\n",
" <td>2023-12-29T23:54:00</td>\n",
" <td>2023-12-30T08:58:00</td>\n",
" <td>32640</td>\n",
" <td>9.066667</td>\n",
" <td>9660</td>\n",
" <td>3360</td>\n",
" <td>19560</td>\n",
" <td>2.683333</td>\n",
" <td>0.933333</td>\n",
" <td>5.433333</td>\n",
" <td>device</td>\n",
" <td>0.998162</td>\n",
" <td>91.0</td>\n",
" <td>P10</td>\n",
" <td>10596</td>\n",
" <td>8052.960032</td>\n",
" <td>42180.0</td>\n",
" <td>31.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>236</th>\n",
" <td>P11</td>\n",
" <td>2023-12-29</td>\n",
" <td>2023-12-29T01:30:00</td>\n",
" <td>2023-12-29T08:50:00</td>\n",
" <td>26400</td>\n",
" <td>7.333333</td>\n",
" <td>5220</td>\n",
" <td>6660</td>\n",
" <td>11640</td>\n",
" <td>1.450000</td>\n",
" <td>1.850000</td>\n",
" <td>3.233333</td>\n",
" <td>device</td>\n",
" <td>0.890909</td>\n",
" <td>76.0</td>\n",
" <td>P10</td>\n",
" <td>10596</td>\n",
" <td>8052.960032</td>\n",
" <td>42180.0</td>\n",
" <td>31.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>241</th>\n",
" <td>P12</td>\n",
" <td>2023-12-29</td>\n",
" <td>2023-12-29T01:14:00</td>\n",
" <td>2023-12-29T08:58:00</td>\n",
" <td>27840</td>\n",
" <td>7.733333</td>\n",
" <td>6120</td>\n",
" <td>5160</td>\n",
" <td>14100</td>\n",
" <td>1.700000</td>\n",
" <td>1.433333</td>\n",
" <td>3.916667</td>\n",
" <td>device</td>\n",
" <td>0.911638</td>\n",
" <td>78.0</td>\n",
" <td>P10</td>\n",
" <td>10596</td>\n",
" <td>8052.960032</td>\n",
" <td>42180.0</td>\n",
" <td>31.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>246</th>\n",
" <td>P14</td>\n",
" <td>2023-12-29</td>\n",
" <td>2023-12-29T00:56:00</td>\n",
" <td>2023-12-29T08:55:00</td>\n",
" <td>28740</td>\n",
" <td>7.983333</td>\n",
" <td>9300</td>\n",
" <td>2160</td>\n",
" <td>15720</td>\n",
" <td>2.583333</td>\n",
" <td>0.600000</td>\n",
" <td>4.366667</td>\n",
" <td>device</td>\n",
" <td>0.945720</td>\n",
" <td>NaN</td>\n",
" <td>P10</td>\n",
" <td>10596</td>\n",
" <td>8052.960032</td>\n",
" <td>42180.0</td>\n",
" <td>31.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>296</th>\n",
" <td>P10</td>\n",
" <td>2023-12-31</td>\n",
" <td>2023-12-31T00:40:00</td>\n",
" <td>2023-12-31T09:08:00</td>\n",
" <td>30480</td>\n",
" <td>8.466667</td>\n",
" <td>10680</td>\n",
" <td>7620</td>\n",
" <td>12060</td>\n",
" <td>2.966667</td>\n",
" <td>2.116667</td>\n",
" <td>3.350000</td>\n",
" <td>device</td>\n",
" <td>0.996063</td>\n",
" <td>94.0</td>\n",
" <td>P10</td>\n",
" <td>3561</td>\n",
" <td>2815.781796</td>\n",
" <td>8940.0</td>\n",
" <td>56.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>311</th>\n",
" <td>P11</td>\n",
" <td>2023-12-31</td>\n",
" <td>2023-12-31T02:51:00</td>\n",
" <td>2023-12-31T07:42:00</td>\n",
" <td>17460</td>\n",
" <td>4.850000</td>\n",
" <td>3960</td>\n",
" <td>3360</td>\n",
" <td>9120</td>\n",
" <td>1.100000</td>\n",
" <td>0.933333</td>\n",
" <td>2.533333</td>\n",
" <td>device</td>\n",
" <td>0.941581</td>\n",
" <td>62.0</td>\n",
" <td>P10</td>\n",
" <td>3561</td>\n",
" <td>2815.781796</td>\n",
" <td>8940.0</td>\n",
" <td>56.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>321</th>\n",
" <td>P12</td>\n",
" <td>2023-12-31</td>\n",
" <td>2023-12-31T02:16:00</td>\n",
" <td>2023-12-31T11:40:00</td>\n",
" <td>33840</td>\n",
" <td>9.400000</td>\n",
" <td>8400</td>\n",
" <td>3780</td>\n",
" <td>18840</td>\n",
" <td>2.333333</td>\n",
" <td>1.050000</td>\n",
" <td>5.233333</td>\n",
" <td>device</td>\n",
" <td>0.932624</td>\n",
" <td>84.0</td>\n",
" <td>P10</td>\n",
" <td>3561</td>\n",
" <td>2815.781796</td>\n",
" <td>8940.0</td>\n",
" <td>56.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>331</th>\n",
" <td>P14</td>\n",
" <td>2023-12-31</td>\n",
" <td>2023-12-31T01:01:00</td>\n",
" <td>2023-12-31T09:13:00</td>\n",
" <td>29520</td>\n",
" <td>8.200000</td>\n",
" <td>5160</td>\n",
" <td>5460</td>\n",
" <td>18000</td>\n",
" <td>1.433333</td>\n",
" <td>1.516667</td>\n",
" <td>5.000000</td>\n",
" <td>device</td>\n",
" <td>0.969512</td>\n",
" <td>91.0</td>\n",
" <td>P10</td>\n",
" <td>3561</td>\n",
" <td>2815.781796</td>\n",
" <td>8940.0</td>\n",
" <td>56.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>336</th>\n",
" <td>P10</td>\n",
" <td>2024-01-02</td>\n",
" <td>2024-01-02T00:22:00</td>\n",
" <td>2024-01-02T09:27:00</td>\n",
" <td>32700</td>\n",
" <td>9.083333</td>\n",
" <td>19920</td>\n",
" <td>10080</td>\n",
" <td>35280</td>\n",
" <td>5.533333</td>\n",
" <td>2.800000</td>\n",
" <td>9.800000</td>\n",
" <td>device</td>\n",
" <td>0.996330</td>\n",
" <td>93.0</td>\n",
" <td>P10</td>\n",
" <td>5072</td>\n",
" <td>3855.416642</td>\n",
" <td>30540.0</td>\n",
" <td>31.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>351</th>\n",
" <td>P14</td>\n",
" <td>2024-01-02</td>\n",
" <td>2024-01-02T23:43:00</td>\n",
" <td>2024-01-03T07:31:00</td>\n",
" <td>28080</td>\n",
" <td>7.800000</td>\n",
" <td>4260</td>\n",
" <td>4500</td>\n",
" <td>18960</td>\n",
" <td>1.183333</td>\n",
" <td>1.250000</td>\n",
" <td>5.266667</td>\n",
" <td>device</td>\n",
" <td>0.987179</td>\n",
" <td>90.0</td>\n",
" <td>P10</td>\n",
" <td>5072</td>\n",
" <td>3855.416642</td>\n",
" <td>30540.0</td>\n",
" <td>31.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>456</th>\n",
" <td>P11</td>\n",
" <td>2024-01-03</td>\n",
" <td>2024-01-03T01:45:00</td>\n",
" <td>2024-01-03T08:01:00</td>\n",
" <td>22560</td>\n",
" <td>6.266667</td>\n",
" <td>4020</td>\n",
" <td>6240</td>\n",
" <td>10380</td>\n",
" <td>1.116667</td>\n",
" <td>1.733333</td>\n",
" <td>2.883333</td>\n",
" <td>device</td>\n",
" <td>0.914894</td>\n",
" <td>47.0</td>\n",
" <td>P10</td>\n",
" <td>8826</td>\n",
" <td>6707.861241</td>\n",
" <td>22500.0</td>\n",
" <td>49.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>461</th>\n",
" <td>P12</td>\n",
" <td>2024-01-03</td>\n",
" <td>2024-01-03T02:24:00</td>\n",
" <td>2024-01-03T09:01:00</td>\n",
" <td>23820</td>\n",
" <td>6.616667</td>\n",
" <td>3660</td>\n",
" <td>5220</td>\n",
" <td>13200</td>\n",
" <td>1.016667</td>\n",
" <td>1.450000</td>\n",
" <td>3.666667</td>\n",
" <td>device</td>\n",
" <td>0.959698</td>\n",
" <td>77.0</td>\n",
" <td>P10</td>\n",
" <td>8826</td>\n",
" <td>6707.861241</td>\n",
" <td>22500.0</td>\n",
" <td>49.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>471</th>\n",
" <td>P14</td>\n",
" <td>2024-01-03</td>\n",
" <td>2024-01-03T23:42:00</td>\n",
" <td>2024-01-04T07:16:00</td>\n",
" <td>27240</td>\n",
" <td>7.566667</td>\n",
" <td>6360</td>\n",
" <td>3360</td>\n",
" <td>17520</td>\n",
" <td>1.766667</td>\n",
" <td>0.933333</td>\n",
" <td>4.866667</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>82.0</td>\n",
" <td>P10</td>\n",
" <td>8826</td>\n",
" <td>6707.861241</td>\n",
" <td>22500.0</td>\n",
" <td>49.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>476</th>\n",
" <td>P10</td>\n",
" <td>2024-01-04</td>\n",
" <td>2024-01-04T01:32:00</td>\n",
" <td>2024-01-04T09:25:00</td>\n",
" <td>28380</td>\n",
" <td>7.883333</td>\n",
" <td>8640</td>\n",
" <td>5400</td>\n",
" <td>14340</td>\n",
" <td>2.400000</td>\n",
" <td>1.500000</td>\n",
" <td>3.983333</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>91.0</td>\n",
" <td>P10</td>\n",
" <td>2278</td>\n",
" <td>1723.679985</td>\n",
" <td>12060.0</td>\n",
" <td>20.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>481</th>\n",
" <td>P11</td>\n",
" <td>2024-01-04</td>\n",
" <td>2024-01-04T00:49:00</td>\n",
" <td>2024-01-04T08:05:00</td>\n",
" <td>26160</td>\n",
" <td>7.266667</td>\n",
" <td>7200</td>\n",
" <td>9720</td>\n",
" <td>27480</td>\n",
" <td>2.000000</td>\n",
" <td>2.700000</td>\n",
" <td>7.633333</td>\n",
" <td>device</td>\n",
" <td>0.697248</td>\n",
" <td>69.0</td>\n",
" <td>P10</td>\n",
" <td>2278</td>\n",
" <td>1723.679985</td>\n",
" <td>12060.0</td>\n",
" <td>20.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>536</th>\n",
" <td>P12</td>\n",
" <td>2024-01-04</td>\n",
" <td>2024-01-04T01:07:00</td>\n",
" <td>2024-01-04T06:13:00</td>\n",
" <td>18360</td>\n",
" <td>5.100000</td>\n",
" <td>7200</td>\n",
" <td>17040</td>\n",
" <td>31920</td>\n",
" <td>2.000000</td>\n",
" <td>4.733333</td>\n",
" <td>8.866667</td>\n",
" <td>device</td>\n",
" <td>0.777778</td>\n",
" <td>32.0</td>\n",
" <td>P10</td>\n",
" <td>2278</td>\n",
" <td>1723.679985</td>\n",
" <td>12060.0</td>\n",
" <td>20.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>561</th>\n",
" <td>P14</td>\n",
" <td>2024-01-04</td>\n",
" <td>2024-01-04T22:38:00</td>\n",
" <td>2024-01-05T06:16:00</td>\n",
" <td>27480</td>\n",
" <td>7.633333</td>\n",
" <td>5040</td>\n",
" <td>4740</td>\n",
" <td>17700</td>\n",
" <td>1.400000</td>\n",
" <td>1.316667</td>\n",
" <td>4.916667</td>\n",
" <td>device</td>\n",
" <td>1.000000</td>\n",
" <td>93.0</td>\n",
" <td>P10</td>\n",
" <td>2278</td>\n",
" <td>1723.679985</td>\n",
" <td>12060.0</td>\n",
" <td>20.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>566</th>\n",
" <td>P11</td>\n",
" <td>2023-12-30</td>\n",
" <td>2023-12-30T02:32:00</td>\n",
" <td>2023-12-30T08:17:00</td>\n",
" <td>20700</td>\n",
" <td>5.750000</td>\n",
" <td>2940</td>\n",
" <td>3960</td>\n",
" <td>10680</td>\n",
" <td>0.816667</td>\n",
" <td>1.100000</td>\n",
" <td>2.966667</td>\n",
" <td>device</td>\n",
" <td>0.849275</td>\n",
" <td>64.0</td>\n",
" <td>P10</td>\n",
" <td>11217</td>\n",
" <td>8524.920161</td>\n",
" <td>25980.0</td>\n",
" <td>45.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>571</th>\n",
" <td>P12</td>\n",
" <td>2023-12-30</td>\n",
" <td>2023-12-30T03:16:00</td>\n",
" <td>2023-12-30T11:35:00</td>\n",
" <td>29940</td>\n",
" <td>8.316667</td>\n",
" <td>5040</td>\n",
" <td>4380</td>\n",
" <td>13800</td>\n",
" <td>1.400000</td>\n",
" <td>1.216667</td>\n",
" <td>3.833333</td>\n",
" <td>device</td>\n",
" <td>0.843687</td>\n",
" <td>79.0</td>\n",
" <td>P10</td>\n",
" <td>11217</td>\n",
" <td>8524.920161</td>\n",
" <td>25980.0</td>\n",
" <td>45.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>586</th>\n",
" <td>P14</td>\n",
" <td>2023-12-30</td>\n",
" <td>2023-12-30T00:18:00</td>\n",
" <td>2023-12-30T09:02:00</td>\n",
" <td>31440</td>\n",
" <td>8.733333</td>\n",
" <td>6900</td>\n",
" <td>7320</td>\n",
" <td>16800</td>\n",
" <td>1.916667</td>\n",
" <td>2.033333</td>\n",
" <td>4.666667</td>\n",
" <td>device</td>\n",
" <td>0.986641</td>\n",
" <td>95.0</td>\n",
" <td>P10</td>\n",
" <td>11217</td>\n",
" <td>8524.920161</td>\n",
" <td>25980.0</td>\n",
" <td>45.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>595</th>\n",
" <td>P12</td>\n",
" <td>2024-01-01</td>\n",
" <td>2024-01-01T02:20:00</td>\n",
" <td>2024-01-01T09:42:00</td>\n",
" <td>26520</td>\n",
" <td>7.366667</td>\n",
" <td>3000</td>\n",
" <td>9000</td>\n",
" <td>30720</td>\n",
" <td>0.833333</td>\n",
" <td>2.500000</td>\n",
" <td>8.533333</td>\n",
" <td>device</td>\n",
" <td>0.610860</td>\n",
" <td>41.0</td>\n",
" <td>P10</td>\n",
" <td>3343</td>\n",
" <td>2540.173424</td>\n",
" <td>5520.0</td>\n",
" <td>19.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>603</th>\n",
" <td>P14</td>\n",
" <td>2024-01-01</td>\n",
" <td>2024-01-01T02:37:00</td>\n",
" <td>2024-01-01T09:56:00</td>\n",
" <td>26340</td>\n",
" <td>7.316667</td>\n",
" <td>6300</td>\n",
" <td>6240</td>\n",
" <td>12960</td>\n",
" <td>1.750000</td>\n",
" <td>1.733333</td>\n",
" <td>3.600000</td>\n",
" <td>device</td>\n",
" <td>0.968109</td>\n",
" <td>83.0</td>\n",
" <td>P10</td>\n",
" <td>3343</td>\n",
" <td>2540.173424</td>\n",
" <td>5520.0</td>\n",
" <td>19.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>611</th>\n",
" <td>P11</td>\n",
" <td>2024-01-05</td>\n",
" <td>2024-01-05T01:28:00</td>\n",
" <td>2024-01-05T09:10:00</td>\n",
" <td>27720</td>\n",
" <td>7.700000</td>\n",
" <td>6420</td>\n",
" <td>7680</td>\n",
" <td>11100</td>\n",
" <td>1.783333</td>\n",
" <td>2.133333</td>\n",
" <td>3.083333</td>\n",
" <td>device</td>\n",
" <td>0.909091</td>\n",
" <td>74.0</td>\n",
" <td>P11</td>\n",
" <td>6431</td>\n",
" <td>4943.460768</td>\n",
" <td>30300.0</td>\n",
" <td>35.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>620</th>\n",
" <td>P14</td>\n",
" <td>2024-01-05</td>\n",
" <td>2024-01-05T23:22:00</td>\n",
" <td>2024-01-06T06:59:00</td>\n",
" <td>27420</td>\n",
" <td>7.616667</td>\n",
" <td>8880</td>\n",
" <td>12120</td>\n",
" <td>33720</td>\n",
" <td>2.466667</td>\n",
" <td>3.366667</td>\n",
" <td>9.366667</td>\n",
" <td>device</td>\n",
" <td>0.995624</td>\n",
" <td>89.0</td>\n",
" <td>P11</td>\n",
" <td>6431</td>\n",
" <td>4943.460768</td>\n",
" <td>30300.0</td>\n",
" <td>35.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>710</th>\n",
" <td>P14</td>\n",
" <td>2023-12-21</td>\n",
" <td>2023-12-21T23:42:00</td>\n",
" <td>2023-12-22T07:36:00</td>\n",
" <td>28440</td>\n",
" <td>7.900000</td>\n",
" <td>7980</td>\n",
" <td>3420</td>\n",
" <td>16320</td>\n",
" <td>2.216667</td>\n",
" <td>0.950000</td>\n",
" <td>4.533333</td>\n",
" <td>device</td>\n",
" <td>0.974684</td>\n",
" <td>92.0</td>\n",
" <td>P14</td>\n",
" <td>3801</td>\n",
" <td>2905.960061</td>\n",
" <td>4320.0</td>\n",
" <td>9.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>711</th>\n",
" <td>P14</td>\n",
" <td>2024-01-08</td>\n",
" <td>2024-01-08T00:01:00</td>\n",
" <td>2024-01-08T07:34:00</td>\n",
" <td>27180</td>\n",
" <td>7.550000</td>\n",
" <td>4140</td>\n",
" <td>6600</td>\n",
" <td>16380</td>\n",
" <td>1.150000</td>\n",
" <td>1.833333</td>\n",
" <td>4.550000</td>\n",
" <td>device</td>\n",
" <td>0.997792</td>\n",
" <td>92.0</td>\n",
" <td>P11</td>\n",
" <td>1480</td>\n",
" <td>1149.199994</td>\n",
" <td>9180.0</td>\n",
" <td>32.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" User First Name_x Calendar Date (Local) Start Time (Local) \\\n",
"0 P10 2023-12-22 2023-12-22T01:17:00 \n",
"9 P14 2023-12-22 2023-12-22T22:50:00 \n",
"24 P12 2023-12-23 2023-12-23T00:52:00 \n",
"45 P10 2023-12-24 2023-12-24T01:13:00 \n",
"60 P12 2023-12-24 2023-12-24T00:48:00 \n",
"63 P14 2023-12-24 2023-12-24T00:05:00 \n",
"66 P10 2023-12-25 2023-12-25T01:07:00 \n",
"75 P12 2023-12-25 2023-12-25T00:31:00 \n",
"78 P14 2023-12-25 2023-12-25T00:10:00 \n",
"81 P10 2023-12-26 2023-12-26T01:50:00 \n",
"87 P12 2023-12-26 2023-12-26T01:06:00 \n",
"90 P14 2023-12-26 2023-12-26T00:03:00 \n",
"96 P10 2023-12-27 2023-12-27T01:20:00 \n",
"102 P12 2023-12-27 2023-12-27T00:27:00 \n",
"108 P14 2023-12-27 2023-12-27T02:06:00 \n",
"147 P10 2023-12-28 2023-12-28T00:54:00 \n",
"155 P12 2023-12-28 2023-12-28T01:13:00 \n",
"159 P14 2023-12-28 2023-12-28T01:44:00 \n",
"231 P10 2023-12-29 2023-12-29T23:54:00 \n",
"236 P11 2023-12-29 2023-12-29T01:30:00 \n",
"241 P12 2023-12-29 2023-12-29T01:14:00 \n",
"246 P14 2023-12-29 2023-12-29T00:56:00 \n",
"296 P10 2023-12-31 2023-12-31T00:40:00 \n",
"311 P11 2023-12-31 2023-12-31T02:51:00 \n",
"321 P12 2023-12-31 2023-12-31T02:16:00 \n",
"331 P14 2023-12-31 2023-12-31T01:01:00 \n",
"336 P10 2024-01-02 2024-01-02T00:22:00 \n",
"351 P14 2024-01-02 2024-01-02T23:43:00 \n",
"456 P11 2024-01-03 2024-01-03T01:45:00 \n",
"461 P12 2024-01-03 2024-01-03T02:24:00 \n",
"471 P14 2024-01-03 2024-01-03T23:42:00 \n",
"476 P10 2024-01-04 2024-01-04T01:32:00 \n",
"481 P11 2024-01-04 2024-01-04T00:49:00 \n",
"536 P12 2024-01-04 2024-01-04T01:07:00 \n",
"561 P14 2024-01-04 2024-01-04T22:38:00 \n",
"566 P11 2023-12-30 2023-12-30T02:32:00 \n",
"571 P12 2023-12-30 2023-12-30T03:16:00 \n",
"586 P14 2023-12-30 2023-12-30T00:18:00 \n",
"595 P12 2024-01-01 2024-01-01T02:20:00 \n",
"603 P14 2024-01-01 2024-01-01T02:37:00 \n",
"611 P11 2024-01-05 2024-01-05T01:28:00 \n",
"620 P14 2024-01-05 2024-01-05T23:22:00 \n",
"710 P14 2023-12-21 2023-12-21T23:42:00 \n",
"711 P14 2024-01-08 2024-01-08T00:01:00 \n",
"\n",
" End Time (Local) Duration (s) Duration (h) Rem Sleep Duration (s) \\\n",
"0 2023-12-22T09:03:00 27960 7.766667 8400 \n",
"9 2023-12-23T06:16:00 26760 7.433333 5460 \n",
"24 2023-12-23T08:45:00 28380 7.883333 48240 \n",
"45 2023-12-24T08:56:00 27780 7.716667 6000 \n",
"60 2023-12-24T05:14:40 16000 4.444444 2200 \n",
"63 2023-12-24T09:45:00 34800 9.666667 10080 \n",
"66 2023-12-25T09:41:00 30840 8.566667 11160 \n",
"75 2023-12-25T10:21:00 35400 9.833333 7200 \n",
"78 2023-12-25T08:52:00 31320 8.700000 5640 \n",
"81 2023-12-26T09:03:00 25980 7.216667 6960 \n",
"87 2023-12-26T09:38:00 30720 8.533333 2400 \n",
"90 2023-12-26T09:58:00 35700 9.916667 8400 \n",
"96 2023-12-27T09:16:00 28560 7.933333 8040 \n",
"102 2023-12-27T07:52:00 26700 7.416667 6720 \n",
"108 2023-12-27T07:03:55 17875 4.965278 3955 \n",
"147 2023-12-28T08:48:00 28440 7.900000 6660 \n",
"155 2023-12-28T07:31:00 22680 6.300000 4380 \n",
"159 2023-12-28T08:08:00 23040 6.400000 8280 \n",
"231 2023-12-30T08:58:00 32640 9.066667 9660 \n",
"236 2023-12-29T08:50:00 26400 7.333333 5220 \n",
"241 2023-12-29T08:58:00 27840 7.733333 6120 \n",
"246 2023-12-29T08:55:00 28740 7.983333 9300 \n",
"296 2023-12-31T09:08:00 30480 8.466667 10680 \n",
"311 2023-12-31T07:42:00 17460 4.850000 3960 \n",
"321 2023-12-31T11:40:00 33840 9.400000 8400 \n",
"331 2023-12-31T09:13:00 29520 8.200000 5160 \n",
"336 2024-01-02T09:27:00 32700 9.083333 19920 \n",
"351 2024-01-03T07:31:00 28080 7.800000 4260 \n",
"456 2024-01-03T08:01:00 22560 6.266667 4020 \n",
"461 2024-01-03T09:01:00 23820 6.616667 3660 \n",
"471 2024-01-04T07:16:00 27240 7.566667 6360 \n",
"476 2024-01-04T09:25:00 28380 7.883333 8640 \n",
"481 2024-01-04T08:05:00 26160 7.266667 7200 \n",
"536 2024-01-04T06:13:00 18360 5.100000 7200 \n",
"561 2024-01-05T06:16:00 27480 7.633333 5040 \n",
"566 2023-12-30T08:17:00 20700 5.750000 2940 \n",
"571 2023-12-30T11:35:00 29940 8.316667 5040 \n",
"586 2023-12-30T09:02:00 31440 8.733333 6900 \n",
"595 2024-01-01T09:42:00 26520 7.366667 3000 \n",
"603 2024-01-01T09:56:00 26340 7.316667 6300 \n",
"611 2024-01-05T09:10:00 27720 7.700000 6420 \n",
"620 2024-01-06T06:59:00 27420 7.616667 8880 \n",
"710 2023-12-22T07:36:00 28440 7.900000 7980 \n",
"711 2024-01-08T07:34:00 27180 7.550000 4140 \n",
"\n",
" Deep Sleep Duration (s) Light Sleep Duration (s) \\\n",
"0 3000 16560 \n",
"9 5940 15240 \n",
"24 31680 172800 \n",
"45 5580 15060 \n",
"60 5040 7500 \n",
"63 5760 18780 \n",
"66 6780 12900 \n",
"75 3600 19920 \n",
"78 4380 20580 \n",
"81 6240 12780 \n",
"87 3600 20100 \n",
"90 5040 22020 \n",
"96 5460 14640 \n",
"102 4140 14640 \n",
"108 1740 12060 \n",
"147 6960 14280 \n",
"155 6240 12060 \n",
"159 1980 12780 \n",
"231 3360 19560 \n",
"236 6660 11640 \n",
"241 5160 14100 \n",
"246 2160 15720 \n",
"296 7620 12060 \n",
"311 3360 9120 \n",
"321 3780 18840 \n",
"331 5460 18000 \n",
"336 10080 35280 \n",
"351 4500 18960 \n",
"456 6240 10380 \n",
"461 5220 13200 \n",
"471 3360 17520 \n",
"476 5400 14340 \n",
"481 9720 27480 \n",
"536 17040 31920 \n",
"561 4740 17700 \n",
"566 3960 10680 \n",
"571 4380 13800 \n",
"586 7320 16800 \n",
"595 9000 30720 \n",
"603 6240 12960 \n",
"611 7680 11100 \n",
"620 12120 33720 \n",
"710 3420 16320 \n",
"711 6600 16380 \n",
"\n",
" Rem Sleep Duration (h) Deep Sleep Duration (h) \\\n",
"0 2.333333 0.833333 \n",
"9 1.516667 1.650000 \n",
"24 13.400000 8.800000 \n",
"45 1.666667 1.550000 \n",
"60 0.611111 1.400000 \n",
"63 2.800000 1.600000 \n",
"66 3.100000 1.883333 \n",
"75 2.000000 1.000000 \n",
"78 1.566667 1.216667 \n",
"81 1.933333 1.733333 \n",
"87 0.666667 1.000000 \n",
"90 2.333333 1.400000 \n",
"96 2.233333 1.516667 \n",
"102 1.866667 1.150000 \n",
"108 1.098611 0.483333 \n",
"147 1.850000 1.933333 \n",
"155 1.216667 1.733333 \n",
"159 2.300000 0.550000 \n",
"231 2.683333 0.933333 \n",
"236 1.450000 1.850000 \n",
"241 1.700000 1.433333 \n",
"246 2.583333 0.600000 \n",
"296 2.966667 2.116667 \n",
"311 1.100000 0.933333 \n",
"321 2.333333 1.050000 \n",
"331 1.433333 1.516667 \n",
"336 5.533333 2.800000 \n",
"351 1.183333 1.250000 \n",
"456 1.116667 1.733333 \n",
"461 1.016667 1.450000 \n",
"471 1.766667 0.933333 \n",
"476 2.400000 1.500000 \n",
"481 2.000000 2.700000 \n",
"536 2.000000 4.733333 \n",
"561 1.400000 1.316667 \n",
"566 0.816667 1.100000 \n",
"571 1.400000 1.216667 \n",
"586 1.916667 2.033333 \n",
"595 0.833333 2.500000 \n",
"603 1.750000 1.733333 \n",
"611 1.783333 2.133333 \n",
"620 2.466667 3.366667 \n",
"710 2.216667 0.950000 \n",
"711 1.150000 1.833333 \n",
"\n",
" Light Sleep Duration (h) Source Sleep Efficiency Sleep Score Value \\\n",
"0 4.600000 device 1.000000 94.0 \n",
"9 4.233333 device 0.995516 93.0 \n",
"24 48.000000 device -0.902748 67.0 \n",
"45 4.183333 device 0.958963 81.0 \n",
"60 2.083333 device 0.996250 56.0 \n",
"63 5.216667 device 0.994828 94.0 \n",
"66 3.583333 device 1.000000 91.0 \n",
"75 5.533333 device 0.947458 89.0 \n",
"78 5.716667 device 0.977012 89.0 \n",
"81 3.550000 device 1.000000 90.0 \n",
"87 5.583333 device 0.882812 65.0 \n",
"90 6.116667 device 0.993277 91.0 \n",
"96 4.066667 device 0.985294 98.0 \n",
"102 4.066667 device 0.955056 85.0 \n",
"108 3.350000 device 0.993287 NaN \n",
"147 3.966667 device 0.981013 91.0 \n",
"155 3.350000 device 1.000000 79.0 \n",
"159 3.550000 device 1.000000 NaN \n",
"231 5.433333 device 0.998162 91.0 \n",
"236 3.233333 device 0.890909 76.0 \n",
"241 3.916667 device 0.911638 78.0 \n",
"246 4.366667 device 0.945720 NaN \n",
"296 3.350000 device 0.996063 94.0 \n",
"311 2.533333 device 0.941581 62.0 \n",
"321 5.233333 device 0.932624 84.0 \n",
"331 5.000000 device 0.969512 91.0 \n",
"336 9.800000 device 0.996330 93.0 \n",
"351 5.266667 device 0.987179 90.0 \n",
"456 2.883333 device 0.914894 47.0 \n",
"461 3.666667 device 0.959698 77.0 \n",
"471 4.866667 device 1.000000 82.0 \n",
"476 3.983333 device 1.000000 91.0 \n",
"481 7.633333 device 0.697248 69.0 \n",
"536 8.866667 device 0.777778 32.0 \n",
"561 4.916667 device 1.000000 93.0 \n",
"566 2.966667 device 0.849275 64.0 \n",
"571 3.833333 device 0.843687 79.0 \n",
"586 4.666667 device 0.986641 95.0 \n",
"595 8.533333 device 0.610860 41.0 \n",
"603 3.600000 device 0.968109 83.0 \n",
"611 3.083333 device 0.909091 74.0 \n",
"620 9.366667 device 0.995624 89.0 \n",
"710 4.533333 device 0.974684 92.0 \n",
"711 4.550000 device 0.997792 92.0 \n",
"\n",
" User First Name_y Steps Distance (m) Stress Duration (s) \\\n",
"0 P10 3183 2419.080005 NaN \n",
"9 P10 3183 2419.080005 NaN \n",
"24 P10 7682 5871.920027 72180.0 \n",
"45 P10 3409 2590.840038 0.0 \n",
"60 P10 3409 2590.840038 0.0 \n",
"63 P10 3409 2590.840038 0.0 \n",
"66 P10 2099 1595.239993 63900.0 \n",
"75 P10 2099 1595.239993 63900.0 \n",
"78 P10 2099 1595.239993 63900.0 \n",
"81 P10 7316 5592.560089 40260.0 \n",
"87 P10 7316 5592.560089 40260.0 \n",
"90 P10 7316 5592.560089 40260.0 \n",
"96 P10 13279 10092.040172 13800.0 \n",
"102 P10 13279 10092.040172 13800.0 \n",
"108 P10 13279 10092.040172 13800.0 \n",
"147 P10 11202 8523.520035 82140.0 \n",
"155 P10 11202 8523.520035 82140.0 \n",
"159 P10 11202 8523.520035 82140.0 \n",
"231 P10 10596 8052.960032 42180.0 \n",
"236 P10 10596 8052.960032 42180.0 \n",
"241 P10 10596 8052.960032 42180.0 \n",
"246 P10 10596 8052.960032 42180.0 \n",
"296 P10 3561 2815.781796 8940.0 \n",
"311 P10 3561 2815.781796 8940.0 \n",
"321 P10 3561 2815.781796 8940.0 \n",
"331 P10 3561 2815.781796 8940.0 \n",
"336 P10 5072 3855.416642 30540.0 \n",
"351 P10 5072 3855.416642 30540.0 \n",
"456 P10 8826 6707.861241 22500.0 \n",
"461 P10 8826 6707.861241 22500.0 \n",
"471 P10 8826 6707.861241 22500.0 \n",
"476 P10 2278 1723.679985 12060.0 \n",
"481 P10 2278 1723.679985 12060.0 \n",
"536 P10 2278 1723.679985 12060.0 \n",
"561 P10 2278 1723.679985 12060.0 \n",
"566 P10 11217 8524.920161 25980.0 \n",
"571 P10 11217 8524.920161 25980.0 \n",
"586 P10 11217 8524.920161 25980.0 \n",
"595 P10 3343 2540.173424 5520.0 \n",
"603 P10 3343 2540.173424 5520.0 \n",
"611 P11 6431 4943.460768 30300.0 \n",
"620 P11 6431 4943.460768 30300.0 \n",
"710 P14 3801 2905.960061 4320.0 \n",
"711 P11 1480 1149.199994 9180.0 \n",
"\n",
" Stress Level (avg) \n",
"0 NaN \n",
"9 NaN \n",
"24 51.0 \n",
"45 0.0 \n",
"60 0.0 \n",
"63 0.0 \n",
"66 40.0 \n",
"75 40.0 \n",
"78 40.0 \n",
"81 37.0 \n",
"87 37.0 \n",
"90 37.0 \n",
"96 47.0 \n",
"102 47.0 \n",
"108 47.0 \n",
"147 36.0 \n",
"155 36.0 \n",
"159 36.0 \n",
"231 31.0 \n",
"236 31.0 \n",
"241 31.0 \n",
"246 31.0 \n",
"296 56.0 \n",
"311 56.0 \n",
"321 56.0 \n",
"331 56.0 \n",
"336 31.0 \n",
"351 31.0 \n",
"456 49.0 \n",
"461 49.0 \n",
"471 49.0 \n",
"476 20.0 \n",
"481 20.0 \n",
"536 20.0 \n",
"561 20.0 \n",
"566 45.0 \n",
"571 45.0 \n",
"586 45.0 \n",
"595 19.0 \n",
"603 19.0 \n",
"611 35.0 \n",
"620 35.0 \n",
"710 9.0 \n",
"711 32.0 "
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Group glucose by day\n",
"#df_merged = pd.DataFrame(df_merged.groupby(df_merged['Calendar Date (Local)'].dt.date)['Duration (s)'].max())\n",
"df_merged.drop_duplicates(inplace=True, subset=['Calendar Date (Local)', 'User First Name_x'])\n",
"\n",
"# Filter for device source\n",
"df_merged = df_merged[df_merged['Source'] == 'device']\n",
"\n",
"df_merged"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "085df9ee-cf54-4b8e-9fbf-b5ff0c6f22a8",
"metadata": {},
"outputs": [
{
"data": {
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Sleep Efficiency</th>\n",
" <th>Sleep Score Value</th>\n",
" <th>Duration (h)</th>\n",
" <th>Deep Sleep Duration (h)</th>\n",
" <th>Light Sleep Duration (h)</th>\n",
" <th>Rem Sleep Duration (h)</th>\n",
" <th>Sleep Efficiency</th>\n",
" <th>Sleep Score Value</th>\n",
" <th>Steps</th>\n",
" <th>Distance (m)</th>\n",
" <th>Stress Duration (s)</th>\n",
" <th>Stress Level (avg)</th>\n",
" </tr>\n",
" <tr>\n",
" <th>User First Name_x</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>P10</th>\n",
" <td>0.991583</td>\n",
" <td>91.400000</td>\n",
" <td>8.160000</td>\n",
" <td>1.680000</td>\n",
" <td>4.651667</td>\n",
" <td>2.670000</td>\n",
" <td>0.991583</td>\n",
" <td>91.400000</td>\n",
" <td>6199.500000</td>\n",
" <td>4726.111879</td>\n",
" <td>32646.666667</td>\n",
" <td>33.111111</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P11</th>\n",
" <td>0.867166</td>\n",
" <td>65.333333</td>\n",
" <td>6.527778</td>\n",
" <td>1.741667</td>\n",
" <td>3.722222</td>\n",
" <td>1.377778</td>\n",
" <td>0.867166</td>\n",
" <td>65.333333</td>\n",
" <td>7151.500000</td>\n",
" <td>5461.443997</td>\n",
" <td>23660.000000</td>\n",
" <td>39.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P12</th>\n",
" <td>0.742926</td>\n",
" <td>69.333333</td>\n",
" <td>7.412037</td>\n",
" <td>2.288889</td>\n",
" <td>8.555556</td>\n",
" <td>2.420370</td>\n",
" <td>0.742926</td>\n",
" <td>69.333333</td>\n",
" <td>7067.333333</td>\n",
" <td>5385.958083</td>\n",
" <td>32455.000000</td>\n",
" <td>35.916667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>P14</th>\n",
" <td>0.986199</td>\n",
" <td>90.307692</td>\n",
" <td>7.836372</td>\n",
" <td>1.402083</td>\n",
" <td>4.957292</td>\n",
" <td>1.842622</td>\n",
" <td>0.986199</td>\n",
" <td>90.307692</td>\n",
" <td>6068.312500</td>\n",
" <td>4627.043402</td>\n",
" <td>26108.000000</td>\n",
" <td>32.466667</td>\n",
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],
"text/plain": [
" Sleep Efficiency Sleep Score Value Duration (h) \\\n",
"User First Name_x \n",
"P10 0.991583 91.400000 8.160000 \n",
"P11 0.867166 65.333333 6.527778 \n",
"P12 0.742926 69.333333 7.412037 \n",
"P14 0.986199 90.307692 7.836372 \n",
"\n",
" Deep Sleep Duration (h) Light Sleep Duration (h) \\\n",
"User First Name_x \n",
"P10 1.680000 4.651667 \n",
"P11 1.741667 3.722222 \n",
"P12 2.288889 8.555556 \n",
"P14 1.402083 4.957292 \n",
"\n",
" Rem Sleep Duration (h) Sleep Efficiency \\\n",
"User First Name_x \n",
"P10 2.670000 0.991583 \n",
"P11 1.377778 0.867166 \n",
"P12 2.420370 0.742926 \n",
"P14 1.842622 0.986199 \n",
"\n",
" Sleep Score Value Steps Distance (m) \\\n",
"User First Name_x \n",
"P10 91.400000 6199.500000 4726.111879 \n",
"P11 65.333333 7151.500000 5461.443997 \n",
"P12 69.333333 7067.333333 5385.958083 \n",
"P14 90.307692 6068.312500 4627.043402 \n",
"\n",
" Stress Duration (s) Stress Level (avg) \n",
"User First Name_x \n",
"P10 32646.666667 33.111111 \n",
"P11 23660.000000 39.333333 \n",
"P12 32455.000000 35.916667 \n",
"P14 26108.000000 32.466667 "
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_merged_x = df_merged.groupby('User First Name_x')[['Sleep Efficiency', 'Sleep Score Value', 'Duration (h)', 'Deep Sleep Duration (h)', 'Light Sleep Duration (h)', 'Rem Sleep Duration (h)', 'Sleep Efficiency', 'Sleep Score Value', 'Steps', 'Distance (m)', 'Stress Duration (s)', 'Stress Level (avg)']].mean()\n",
"df_merged_x"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "da6773de-fece-4f69-ba54-d63f59b59e38",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Sleep Efficiency</th>\n",
" <th>Sleep Score Value</th>\n",
" <th>Duration (h)</th>\n",
" <th>Deep Sleep Duration (h)</th>\n",
" <th>Light Sleep Duration (h)</th>\n",
" <th>Rem Sleep Duration (h)</th>\n",
" <th>Sleep Efficiency</th>\n",
" <th>Sleep Score Value</th>\n",
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" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>Sleep Efficiency</th>\n",
" <td>1.000000</td>\n",
" <td>0.844358</td>\n",
" <td>0.540695</td>\n",
" <td>-0.919281</td>\n",
" <td>-0.729499</td>\n",
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" <td>-0.178589</td>\n",
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" </tr>\n",
" <tr>\n",
" <th>Sleep Score Value</th>\n",
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" <td>0.280178</td>\n",
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" </tr>\n",
" <tr>\n",
" <th>Duration (h)</th>\n",
" <td>0.540695</td>\n",
" <td>0.899943</td>\n",
" <td>1.000000</td>\n",
" <td>-0.254900</td>\n",
" <td>0.158886</td>\n",
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" <td>-0.959862</td>\n",
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" <tr>\n",
" <th>Deep Sleep Duration (h)</th>\n",
" <td>-0.919281</td>\n",
" <td>-0.650263</td>\n",
" <td>-0.254900</td>\n",
" <td>1.000000</td>\n",
" <td>0.809607</td>\n",
" <td>0.356684</td>\n",
" <td>-0.919281</td>\n",
" <td>-0.650263</td>\n",
" <td>0.725450</td>\n",
" <td>0.718405</td>\n",
" <td>0.532140</td>\n",
" <td>0.415244</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Light Sleep Duration (h)</th>\n",
" <td>-0.729499</td>\n",
" <td>-0.251236</td>\n",
" <td>0.158886</td>\n",
" <td>0.809607</td>\n",
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" <td>0.517985</td>\n",
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" <td>-0.251236</td>\n",
" <td>0.298849</td>\n",
" <td>0.289124</td>\n",
" <td>0.640125</td>\n",
" <td>-0.095394</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Rem Sleep Duration (h)</th>\n",
" <td>0.015292</td>\n",
" <td>0.458470</td>\n",
" <td>0.780231</td>\n",
" <td>0.356684</td>\n",
" <td>0.517985</td>\n",
" <td>1.000000</td>\n",
" <td>0.015292</td>\n",
" <td>0.458470</td>\n",
" <td>-0.342106</td>\n",
" <td>-0.350271</td>\n",
" <td>0.980768</td>\n",
" <td>-0.593647</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Sleep Efficiency</th>\n",
" <td>1.000000</td>\n",
" <td>0.844358</td>\n",
" <td>0.540695</td>\n",
" <td>-0.919281</td>\n",
" <td>-0.729499</td>\n",
" <td>0.015292</td>\n",
" <td>1.000000</td>\n",
" <td>0.844358</td>\n",
" <td>-0.868517</td>\n",
" <td>-0.863591</td>\n",
" <td>-0.178589</td>\n",
" <td>-0.610629</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Sleep Score Value</th>\n",
" <td>0.844358</td>\n",
" <td>1.000000</td>\n",
" <td>0.899943</td>\n",
" <td>-0.650263</td>\n",
" <td>-0.251236</td>\n",
" <td>0.458470</td>\n",
" <td>0.844358</td>\n",
" <td>1.000000</td>\n",
" <td>-0.990201</td>\n",
" <td>-0.990929</td>\n",
" <td>0.280178</td>\n",
" <td>-0.934979</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Steps</th>\n",
" <td>-0.868517</td>\n",
" <td>-0.990201</td>\n",
" <td>-0.847380</td>\n",
" <td>0.725450</td>\n",
" <td>0.298849</td>\n",
" <td>-0.342106</td>\n",
" <td>-0.868517</td>\n",
" <td>-0.990201</td>\n",
" <td>1.000000</td>\n",
" <td>0.999946</td>\n",
" <td>-0.159220</td>\n",
" <td>0.920720</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Distance (m)</th>\n",
" <td>-0.863591</td>\n",
" <td>-0.990929</td>\n",
" <td>-0.852443</td>\n",
" <td>0.718405</td>\n",
" <td>0.289124</td>\n",
" <td>-0.350271</td>\n",
" <td>-0.863591</td>\n",
" <td>-0.990929</td>\n",
" <td>0.999946</td>\n",
" <td>1.000000</td>\n",
" <td>-0.168105</td>\n",
" <td>0.924710</td>\n",
" </tr>\n",
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" <th>Stress Duration (s)</th>\n",
" <td>-0.178589</td>\n",
" <td>0.280178</td>\n",
" <td>0.654601</td>\n",
" <td>0.532140</td>\n",
" <td>0.640125</td>\n",
" <td>0.980768</td>\n",
" <td>-0.178589</td>\n",
" <td>0.280178</td>\n",
" <td>-0.159220</td>\n",
" <td>-0.168105</td>\n",
" <td>1.000000</td>\n",
" <td>-0.452568</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Stress Level (avg)</th>\n",
" <td>-0.610629</td>\n",
" <td>-0.934979</td>\n",
" <td>-0.959862</td>\n",
" <td>0.415244</td>\n",
" <td>-0.095394</td>\n",
" <td>-0.593647</td>\n",
" <td>-0.610629</td>\n",
" <td>-0.934979</td>\n",
" <td>0.920720</td>\n",
" <td>0.924710</td>\n",
" <td>-0.452568</td>\n",
" <td>1.000000</td>\n",
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" </tbody>\n",
"</table>\n",
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],
"text/plain": [
" Sleep Efficiency Sleep Score Value Duration (h) \\\n",
"Sleep Efficiency 1.000000 0.844358 0.540695 \n",
"Sleep Score Value 0.844358 1.000000 0.899943 \n",
"Duration (h) 0.540695 0.899943 1.000000 \n",
"Deep Sleep Duration (h) -0.919281 -0.650263 -0.254900 \n",
"Light Sleep Duration (h) -0.729499 -0.251236 0.158886 \n",
"Rem Sleep Duration (h) 0.015292 0.458470 0.780231 \n",
"Sleep Efficiency 1.000000 0.844358 0.540695 \n",
"Sleep Score Value 0.844358 1.000000 0.899943 \n",
"Steps -0.868517 -0.990201 -0.847380 \n",
"Distance (m) -0.863591 -0.990929 -0.852443 \n",
"Stress Duration (s) -0.178589 0.280178 0.654601 \n",
"Stress Level (avg) -0.610629 -0.934979 -0.959862 \n",
"\n",
" Deep Sleep Duration (h) Light Sleep Duration (h) \\\n",
"Sleep Efficiency -0.919281 -0.729499 \n",
"Sleep Score Value -0.650263 -0.251236 \n",
"Duration (h) -0.254900 0.158886 \n",
"Deep Sleep Duration (h) 1.000000 0.809607 \n",
"Light Sleep Duration (h) 0.809607 1.000000 \n",
"Rem Sleep Duration (h) 0.356684 0.517985 \n",
"Sleep Efficiency -0.919281 -0.729499 \n",
"Sleep Score Value -0.650263 -0.251236 \n",
"Steps 0.725450 0.298849 \n",
"Distance (m) 0.718405 0.289124 \n",
"Stress Duration (s) 0.532140 0.640125 \n",
"Stress Level (avg) 0.415244 -0.095394 \n",
"\n",
" Rem Sleep Duration (h) Sleep Efficiency \\\n",
"Sleep Efficiency 0.015292 1.000000 \n",
"Sleep Score Value 0.458470 0.844358 \n",
"Duration (h) 0.780231 0.540695 \n",
"Deep Sleep Duration (h) 0.356684 -0.919281 \n",
"Light Sleep Duration (h) 0.517985 -0.729499 \n",
"Rem Sleep Duration (h) 1.000000 0.015292 \n",
"Sleep Efficiency 0.015292 1.000000 \n",
"Sleep Score Value 0.458470 0.844358 \n",
"Steps -0.342106 -0.868517 \n",
"Distance (m) -0.350271 -0.863591 \n",
"Stress Duration (s) 0.980768 -0.178589 \n",
"Stress Level (avg) -0.593647 -0.610629 \n",
"\n",
" Sleep Score Value Steps Distance (m) \\\n",
"Sleep Efficiency 0.844358 -0.868517 -0.863591 \n",
"Sleep Score Value 1.000000 -0.990201 -0.990929 \n",
"Duration (h) 0.899943 -0.847380 -0.852443 \n",
"Deep Sleep Duration (h) -0.650263 0.725450 0.718405 \n",
"Light Sleep Duration (h) -0.251236 0.298849 0.289124 \n",
"Rem Sleep Duration (h) 0.458470 -0.342106 -0.350271 \n",
"Sleep Efficiency 0.844358 -0.868517 -0.863591 \n",
"Sleep Score Value 1.000000 -0.990201 -0.990929 \n",
"Steps -0.990201 1.000000 0.999946 \n",
"Distance (m) -0.990929 0.999946 1.000000 \n",
"Stress Duration (s) 0.280178 -0.159220 -0.168105 \n",
"Stress Level (avg) -0.934979 0.920720 0.924710 \n",
"\n",
" Stress Duration (s) Stress Level (avg) \n",
"Sleep Efficiency -0.178589 -0.610629 \n",
"Sleep Score Value 0.280178 -0.934979 \n",
"Duration (h) 0.654601 -0.959862 \n",
"Deep Sleep Duration (h) 0.532140 0.415244 \n",
"Light Sleep Duration (h) 0.640125 -0.095394 \n",
"Rem Sleep Duration (h) 0.980768 -0.593647 \n",
"Sleep Efficiency -0.178589 -0.610629 \n",
"Sleep Score Value 0.280178 -0.934979 \n",
"Steps -0.159220 0.920720 \n",
"Distance (m) -0.168105 0.924710 \n",
"Stress Duration (s) 1.000000 -0.452568 \n",
"Stress Level (avg) -0.452568 1.000000 "
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_merged_x.corr()"
]
},
{
"cell_type": "markdown",
"id": "6628dca4-fc85-416d-8f37-fc502b915c73",
"metadata": {},
"source": [
"### What impact does Stress have on Sleep?"
]
},
{
"cell_type": "code",
"execution_count": 51,
"id": "9a09b3f3-fbd3-4994-8876-86b47034777e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: 0.6546013426219234\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_merged_x['Duration (h)']\n",
"column2 = df_merged_x['Stress Duration (s)']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 52,
"id": "e059fcfa-03a6-4811-a365-3d72be9659f9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: 0.5321404646576718\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_merged_x['Deep Sleep Duration (h)']\n",
"column2 = df_merged_x['Stress Duration (s)']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "41dfd061-4dad-48f8-8293-18886f03cd9d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: 0.10016916372317627\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_merged['Sleep Score Value']\n",
"column2 = df_merged['Stress Level (avg)']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "5fd8ad7a-dccb-486c-969b-531ed5ec153c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: 0.10016916372317627\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_merged['Sleep Score Value']\n",
"column2 = df_merged['Stress Level (avg)']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "243608af-e055-48f9-b68e-850b8730cae8",
"metadata": {},
"source": [
"### What impact does physical activity has on Sleep?"
]
},
{
"cell_type": "code",
"execution_count": 55,
"id": "21b81251-468e-427f-b92d-7857cf6d48f2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: -0.8473800158235741\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_merged_x['Duration (h)']\n",
"column2 = df_merged_x['Steps']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "b55154f0-53b9-41c9-a8c6-86d18d806d3d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: -0.02147612397914742\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_merged['Sleep Efficiency']\n",
"column2 = df_merged['Steps']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "dbb241cb-791d-4463-8990-b40595a89152",
"metadata": {},
"source": [
"## Trim down for one user for further research"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "1ac6de26-4665-40b8-8d31-259d094b044f",
"metadata": {},
"outputs": [],
"source": [
"# Select user = P12 and day = 2023-12-24\n",
"d_df = d_df[d_df['User First Name'] == 'P12']"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "cb1f7f97-396e-4678-ba88-de8bc3e8ca8c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: -0.1296282298021158\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_merged['Steps']\n",
"column2 = df_merged['Deep Sleep Duration (s)']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "4b89c22a-0a66-4d11-8cc1-7a587bfca654",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: 0.3013144580319781\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_merged['Stress Duration (s)']\n",
"column2 = df_merged['Deep Sleep Duration (s)']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "4d8b6a9b-6522-40c5-b595-acab8ede365a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: 0.310347381288908\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_merged['Stress Duration (s)']\n",
"column2 = df_merged['Duration (h)']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "67351ddc-6a79-4c95-9f47-c61e50297de3",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: 0.6961033855616348\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_merged['Stress Level (avg)']\n",
"column2 = df_merged['Duration (h)']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "e765b5e1-88c9-4f57-a636-0e14afd088fc",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: 0.06578185589198818\n"
]
},
{
"data": {
"image/png": 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rr9L24uJiREREoFGjRnB0dMTQoUORkZGht4+0tDSEh4fD3t4eHh4emDFjBu7evavXZ//+/ejUqRNUKhUCAgIQFRVVoZZVq1ahWbNmsLW1RXBwMI4dO1Yrx0xERESWyaShqUmTJliyZAni4+Nx4sQJ9OrVCwMHDkRSUhIAYNq0afj555+xdetWHDhwADdu3MCQIUOkz2u1WoSHh6O0tBSxsbFYv349oqKiMG/ePKlPamoqwsPD8dxzzyEhIQFTp07FmDFjsGfPHqnPli1bEBkZifnz5+PkyZNo3749wsLCkJmZWXcng4iIiMybMDOurq5i7dq1IicnR9jY2IitW7dK286fPy8AiLi4OCGEELt27RJWVlYiPT1d6rN69WqhVqtFSUmJEEKImTNnisDAQL3vePnll0VYWJj0vkuXLiIiIkJ6r9Vqhbe3t1i8eLHsunNzcwUAkZuba9gBExERkckY8vttNnOatFotNm/ejIKCAoSEhCA+Ph5lZWUIDQ2V+jz11FNo2rQp4uLiAABxcXFo27YtPD09pT5hYWHQaDTSaFVcXJzePsr7lO+jtLQU8fHxen2srKwQGhoq9alMSUkJNBqN3ouIiIgeXyYPTWfOnIGjoyNUKhXGjx+P7du3o3Xr1khPT4dSqYSLi4tef09PT6SnpwMA0tPT9QJT+fbybdX10Wg0KCoqwu3bt6HVaivtU76PyixevBjOzs7Sy8fHp0bHT0RERJbB5KGpZcuWSEhIwNGjRzFhwgSMGDEC586dM3VZDzVnzhzk5uZKr2vXrpm6JCIiIqpFDUxdgFKpREBAAAAgKCgIx48fx4oVK/Dyyy+jtLQUOTk5eqNNGRkZ8PLyAgB4eXlVuMut/O66+/s8eMddRkYG1Go17OzsYG1tDWtr60r7lO+jMiqVCiqVqmYHTURERBbH5CNND9LpdCgpKUFQUBBsbGywd+9eaVtycjLS0tIQEhICAAgJCcGZM2f07nKLjo6GWq1G69atpT7376O8T/k+lEolgoKC9ProdDrs3btX6kNERERk0pGmOXPmoH///mjatCny8vKwceNG7N+/H3v27IGzszNGjx6NyMhINGzYEGq1GpMmTUJISAi6du0KAOjbty9at26N119/HUuXLkV6ejreffddRERESKNA48ePx+eff46ZM2di1KhRiImJwXfffYedO3dKdURGRmLEiBHo3LkzunTpguXLl6OgoABvvvmmSc4LERERmaE6uJuvSqNGjRK+vr5CqVQKd3d30bt3b/Hbb79J24uKisTbb78tXF1dhb29vRg8eLC4efOm3j6uXLki+vfvL+zs7ISbm5uYPn26KCsr0+uzb98+0aFDB6FUKoW/v79Yt25dhVpWrlwpmjZtKpRKpejSpYs4cuSIQcfCJQeIiIgsjyG/3wohhDB1cHscaDQaODs7Izc3F2q12tTlEBERkQyG/H6b3ZwmIiIiInPE0EREREQkA0MTERERkQwMTUREREQyMDQRERERycDQRERERCQDQxMRERGRDAxNRERERDIwNBERERHJwNBEREREJANDExEREZEMDE1EREREMjA0EREREcnA0EREREQkA0MTERERkQwMTUREREQyMDQRERERycDQRERERCQDQxMRERGRDAxNRERERDIwNBERERHJwNBEREREJANDExEREZEMDE1EREREMjA0EREREcnA0EREREQkA0MTERERkQwMTUREREQyMDQRERERycDQRERERCQDQxMRERGRDAxNRERERDIwNBERERHJwNBEREREJANDExEREZEMDE1EREREMjA0EREREcnA0EREREQkA0MTERERkQwMTUREREQyMDQRERERycDQRERERCQDQxMRERGRDAxNRERERDIwNBERERHJwNBEREREJANDExEREZEMDE1EREREMjA0EREREclg0tC0ePFiPP3003BycoKHhwcGDRqE5ORkvT7PPvssFAqF3mv8+PF6fdLS0hAeHg57e3t4eHhgxowZuHv3rl6f/fv3o1OnTlCpVAgICEBUVFSFelatWoVmzZrB1tYWwcHBOHbsmNGPmYiIiCyTSUPTgQMHEBERgSNHjiA6OhplZWXo27cvCgoK9PqNHTsWN2/elF5Lly6Vtmm1WoSHh6O0tBSxsbFYv349oqKiMG/ePKlPamoqwsPD8dxzzyEhIQFTp07FmDFjsGfPHqnPli1bEBkZifnz5+PkyZNo3749wsLCkJmZWfsngoiIiMyeQgghTF1EuVu3bsHDwwMHDhxAjx49ANwbaerQoQOWL19e6Wd+/fVX/P3vf8eNGzfg6ekJAPjyyy8xa9Ys3Lp1C0qlErNmzcLOnTtx9uxZ6XOvvPIKcnJysHv3bgBAcHAwnn76aXz++ecAAJ1OBx8fH0yaNAmzZ89+aO0ajQbOzs7Izc2FWq1+lNNAREREdcSQ32+zmtOUm5sLAGjYsKFe+4YNG+Dm5oY2bdpgzpw5KCwslLbFxcWhbdu2UmACgLCwMGg0GiQlJUl9QkND9fYZFhaGuLg4AEBpaSni4+P1+lhZWSE0NFTq86CSkhJoNBq9FxERET2+Gpi6gHI6nQ5Tp05F9+7d0aZNG6n91Vdfha+vL7y9vZGYmIhZs2YhOTkZP/zwAwAgPT1dLzABkN6np6dX20ej0aCoqAjZ2dnQarWV9rlw4UKl9S5evBjvv//+ox00ERERWQyzCU0RERE4e/YsDh8+rNc+btw46b/btm2Lxo0bo3fv3rh06RKaN29e12VK5syZg8jISOm9RqOBj4+PyeohIiKi2mUWoWnixIn45ZdfcPDgQTRp0qTavsHBwQCAlJQUNG/eHF5eXhXucsvIyAAAeHl5Sf+zvO3+Pmq1GnZ2drC2toa1tXWlfcr38SCVSgWVSiX/IImIiMiimXROkxACEydOxPbt2xETEwM/P7+HfiYhIQEA0LhxYwBASEgIzpw5o3eXW3R0NNRqNVq3bi312bt3r95+oqOjERISAgBQKpUICgrS66PT6bB3716pDxEREdVvJh1pioiIwMaNG/HTTz/ByclJmoPk7OwMOzs7XLp0CRs3bsTzzz+PRo0aITExEdOmTUOPHj3Qrl07AEDfvn3RunVrvP7661i6dCnS09Px7rvvIiIiQhoJGj9+PD7//HPMnDkTo0aNQkxMDL777jvs3LlTqiUyMhIjRoxA586d0aVLFyxfvhwFBQV488036/7EEBERkfkRJgSg0te6deuEEEKkpaWJHj16iIYNGwqVSiUCAgLEjBkzRG5urt5+rly5Ivr37y/s7OyEm5ubmD59uigrK9Prs2/fPtGhQwehVCqFv7+/9B33W7lypWjatKlQKpWiS5cu4siRI7KPJTc3VwCoUBsRERGZL0N+v81qnSZLxnWaiIiILI8hv98GX55LTU3FoUOHcPXqVRQWFsLd3R0dO3ZESEgIbG1ta1w0ERERkTmTHZo2bNiAFStW4MSJE/D09IS3tzfs7Oxw584dXLp0Cba2thg+fDhmzZoFX1/f2qyZiIiIqM7JCk0dO3aEUqnEyJEjsW3btgrrEZWUlCAuLg6bN29G586d8cUXX+DFF1+slYKJiIiITEHWnKY9e/YgLCxM1g6zsrJw5coVBAUFPXJxloRzmoiIiCyP0ec0yQ1MANCoUSM0atRIdn8iIiIiS2Dw4pYnT57EmTNnpPc//fQTBg0ahLlz56K0tNSoxRERERGZC4ND01tvvYU///wTAHD58mW88sorsLe3x9atWzFz5kyjF0hERERkDgwOTX/++Sc6dOgAANi6dSt69OiBjRs3IioqCtu2bTN2fURERERmweDQJISATqcDAPz+++94/vnnAQA+Pj64ffu2casjIiIiMhMGh6bOnTvjww8/xLfffosDBw4gPDwcwL1FLz09PY1eIBEREZE5MDg0LV++HCdPnsTEiRPxzjvvICAgAADw/fffo1u3bkYvkIiIiMgcGO3Zc8XFxbC2toaNjY0xdmdxuE4TERGR5TH6Ok1CCCgUimr78LlzRERE9DiTdXkuMDAQmzdvfug6TBcvXsSECROwZMkSoxRHREREZC5kjTStXLkSs2bNwttvv40+ffqgc+fO8Pb2hq2tLbKzs3Hu3DkcPnwYSUlJmDhxIiZMmFDbdRMRERHVKYPmNB0+fBhbtmzBoUOHcPXqVRQVFcHNzQ0dO3ZEWFgYhg8fDldX19qs12xxThMREZHlMeT322gTwes7hiYiIiLLY8jvt8FLDhARERHVRwxNRERERDIwNBERERHJwNBEREREJANDExEREZEMstZpepBOp0NKSgoyMzOh0+n0tvXo0cMohRERERGZE4ND05EjR/Dqq6/i6tWreHC1AoVCAa1Wa7TiiIiIiMyFwaFp/Pjx6Ny5M3bu3InGjRs/9Jl0RERERI8Dg0PTxYsX8f333yMgIKA26iEiIiIySwZPBA8ODkZKSkpt1EJERERktgweaZo0aRKmT5+O9PR0tG3bFjY2Nnrb27VrZ7TiiIiIiMyFwc+es7KqODilUCgghKjXE8H57DkiIiLLY8jvt8EjTampqTUujIiIiMhSGRyafH19a6MOIiIiIrNWo8UtL126hOXLl+P8+fMAgNatW2PKlClo3ry5UYsjIiIiMhcG3z23Z88etG7dGseOHUO7du3Qrl07HD16FIGBgYiOjq6NGomIiIhMzuCJ4B07dkRYWBiWLFmi1z579mz89ttvOHnypFELtBScCE5ERGR5DPn9Nnik6fz58xg9enSF9lGjRuHcuXOG7o6IiIjIIhgcmtzd3ZGQkFChPSEhAR4eHsaoiYiIiMjsGDwRfOzYsRg3bhwuX76Mbt26AQD++OMPfPTRR4iMjDR6gURERETmwOA5TUIILF++HB9//DFu3LgBAPD29saMGTMwefLkevsAX85pIiIisjyG/H4bHJrul5eXBwBwcnKq6S4eGwxNRERElqdWVwS/H8MSERER1ReyQlOnTp2wd+9euLq6omPHjtVegquvSw4QERHR401WaBo4cCBUKpX03/V13hIRERHVX480p4n+h3OaiIiILE+tLm7p7++PrKysCu05OTnw9/c3dHdEREREFsHg0HTlyhVotdoK7SUlJbh+/bpRiiIiIiIyN7LvntuxY4f033v27IGzs7P0XqvVYu/evfDz8zNudURERERmQnZoGjRoEABAoVBgxIgRettsbGzQrFkzfPzxx0YtjoiIiMhcyA5NOp0OAODn54fjx4/Dzc2t1ooiIiIiMjcGz2lKTU01WmBavHgxnn76aTg5OcHDwwODBg1CcnKyXp/i4mJERESgUaNGcHR0xNChQ5GRkaHXJy0tDeHh4bC3t4eHhwdmzJiBu3fv6vXZv38/OnXqBJVKhYCAAERFRVWoZ9WqVWjWrBlsbW0RHByMY8eOGeU4iYiIyPLVaEXwgoICHDhwAGlpaSgtLdXbNnnyZNn7OXDgACIiIvD000/j7t27mDt3Lvr27Ytz587BwcEBADBt2jTs3LkTW7duhbOzMyZOnIghQ4bgjz/+AHBvPlV4eDi8vLwQGxuLmzdv4o033oCNjQ3+9a9/AbgX9MLDwzF+/Hhs2LABe/fuxZgxY9C4cWOEhYUBALZs2YLIyEh8+eWXCA4OxvLlyxEWFobk5GR4eHjU5DQRERHR40QY6OTJk8LLy0uo1WphbW0t3N3dhUKhEA4ODsLPz8/Q3enJzMwUAMSBAweEEELk5OQIGxsbsXXrVqnP+fPnBQARFxcnhBBi165dwsrKSqSnp0t9Vq9eLdRqtSgpKRFCCDFz5kwRGBio910vv/yyCAsLk9536dJFRERESO+1Wq3w9vYWixcvllV7bm6uACByc3MNPGoiIiIyFUN+vw2+PDdt2jQMGDAA2dnZsLOzw5EjR3D16lUEBQXh3//+9yMFuNzcXABAw4YNAQDx8fEoKytDaGio1Oepp55C06ZNERcXBwCIi4tD27Zt4enpKfUJCwuDRqNBUlKS1Of+fZT3Kd9HaWkp4uPj9fpYWVkhNDRU6kNERET1m8GhKSEhAdOnT4eVlRWsra1RUlICHx8fLF26FHPnzq1xITqdDlOnTkX37t3Rpk0bAEB6ejqUSiVcXFz0+np6eiI9PV3qc39gKt9evq26PhqNBkVFRbh9+za0Wm2lfcr38aCSkhJoNBq9FxERET2+DA5NNjY2sLK69zEPDw+kpaUBAJydnXHt2rUaFxIREYGzZ89i8+bNNd5HXVq8eDGcnZ2ll4+Pj6lLIiIiolpkcGjq2LEjjh8/DgDo2bMn5s2bhw0bNmDq1KnSCJGhJk6ciF9++QX79u1DkyZNpHYvLy+UlpYiJydHr39GRga8vLykPg/eTVf+/mF91Go17Ozs4ObmBmtr60r7lO/jQXPmzEFubq70epTASERERObP4ND0r3/9C40bNwYALFq0CK6urpgwYQJu3bqFNWvWGLQvIQQmTpyI7du3IyYmpsKK4kFBQbCxscHevXultuTkZKSlpSEkJAQAEBISgjNnziAzM1PqEx0dDbVajdatW0t97t9HeZ/yfSiVSgQFBen10el02Lt3r9TnQSqVCmq1Wu9FREREjzFDZpjrdDpx9epVUVRUVNNJ6nomTJggnJ2dxf79+8XNmzelV2FhodRn/PjxomnTpiImJkacOHFChISEiJCQEGn73bt3RZs2bUTfvn1FQkKC2L17t3B3dxdz5syR+ly+fFnY29uLGTNmiPPnz4tVq1YJa2trsXv3bqnP5s2bhUqlElFRUeLcuXNi3LhxwsXFRe+uvOrw7jkiIiLLY8jvt0GhSavVChsbG/Hnn3/WuDi9Lwcqfa1bt07qU1RUJN5++23h6uoq7O3txeDBg8XNmzf19nPlyhXRv39/YWdnJ9zc3MT06dNFWVmZXp99+/aJDh06CKVSKfz9/fW+o9zKlStF06ZNhVKpFF26dBFHjhyRfSwMTURERJbHkN9vhRBCGDIyFRgYiG+++QZdu3Y17pCXhdNoNHB2dkZubi4v1REREVkIQ36/DZ7TtGTJEsyYMQNnz56tcYFERERElsbgkSZXV1cUFhbi7t27UCqVsLOz09t+584doxZoKTjSREREZHkM+f02+Nlzy5cvr2ldRERERBbL4NA0YsSI2qiDiIiIyKwZHJrKVwCvStOmTWtcDBEREZG5Mjg0NWvWDAqFosrtWq32kQoiIiIiMkcGh6ZTp07pvS8rK8OpU6fwySefYNGiRUYrjIiIiMicGBya2rdvX6Gtc+fO8Pb2xrJlyzBkyBCjFEZERERkTgxep6kqLVu2lB7kS0RERPS4MXikSaPR6L0XQuDmzZtYsGABWrRoYbTCiIiIiMyJwaHJxcWlwkRwIQR8fHywefNmoxVGREREZE4MDk379u3Te29lZQV3d3cEBASgQQODd0dERERkEQxOOT179qyNOoiIiIjMmsGhKSYmBj/88AOuXLkChUIBPz8//OMf/0CPHj1qoz4iIiIis2DQ3XPjx49HaGgoNm3ahKysLNy6dQsbNmzAc889h0mTJtVWjUREREQmJzs0bd++HevWrcP//d//4fbt24iLi8ORI0dw69YtfP3111izZg127NhRm7USERERmYxCCCHkdHzhhRcQGBiIxYsXV7p91qxZuHDhAn766SejFmgpNBoNnJ2dkZubC7VabepyiIiISAZDfr9ljzSdPHkSgwcPrnL7kCFDEB8fL79KIiIiIgsiOzTdvn0bTZo0qXJ7kyZNkJWVZZSiiIiIiMyN7NBUWloKGxubKrc3aNAApaWlRimKiIiIyNwYtOTAe++9B3t7+0q3FRYWGqUgIiIiInMkOzT16NEDycnJD+1DRERE9DiSHZr2799fi2UQERERmTeDFrckIiIiqq/4hF0iqpZOJ5B0Q4M7haVoaK9EoLcaVlYKU5dFRFTnGJqIqEqxKbfxWcxFXL5VgFKtDkprK/i7O2ByrxboFuBm6vKIiOoUL88RUaViU25j5rZExF/NRmZeCXIKy5CZV4L4q9mYuS0RsSm3TV0iEVGdYmgiogp0OoHPYi4iQ1OMMq3+k5bKtAIZmmJ8FnMROp2spzARET0WanR5Ljs7G9988w3Onz8PAGjVqhVGjRqFhg0bGrU4IjKNpBsaXL5VUCEwlSvTCly+VYCkGxq0beJcx9UREZmGwSNNBw8ehJ+fHz777DNkZ2cjOzsbK1euhJ+fHw4ePFgbNRJRHbtTWIpSra7aPmVaHe4U8ikARFR/GDzSFBERgZdeegmrV6+GtbU1AECr1eLtt99GREQEzpw5Y/QiiahuNbRXQmld/b+pbKyt0NBeWUcVERGZnsEjTSkpKZg+fboUmADA2toakZGRSElJMWpxRGQagd5q+Ls7wMa68qUFbKwV8Hd3QKC3uo4rIyIyHYNDU6dOnaS5TPc7f/482rdvb5SiiMi0rKwUmNyrBTzVthWCk421Ap5qW0zu1YLrNRFRvWLw5bnJkydjypQpSElJQdeuXQEAR44cwapVq7BkyRIkJiZKfdu1a2e8SomoTnULcMPSoe2kdZrKtDrYcJ0mIqrHFEIIg+4ZtrKqfnBKoVBACAGFQgGtVvtIxVkSjUYDZ2dn5ObmQq3mJQt6fHBFcCJ6nBny+23wSFNqamqNCyMiy2NlpeCyAkREqEFo8vX1rY06iIiIiMxajVYE//bbb9G9e3d4e3vj6tWrAIDly5fjp59+MmpxRERERObC4NC0evVqREZG4vnnn0dOTo40b8nFxQXLly83dn1EREREZsHg0LRy5Up8/fXXeOedd/TWaurcuTMXtiQiIqLHlsGhKTU1FR07dqzQrlKpUFBQYJSiiIiIiMyNwaHJz88PCQkJFdp3796NVq1aGaMmIiIiIrNj8N1zkZGRiIiIQHFxMYQQOHbsGDZt2oTFixdj7dq1tVEjERERkckZHJrGjBkDOzs7vPvuuygsLMSrr74Kb29vrFixAq+88kpt1EhERERkcgavCH6/wsJC5Ofnw8PDw5g1WSSuCE5ERGR5DPn9rtE6TXfv3sXvv/+Ob7/9FnZ2dgCAGzduID8/vya7IyIiIjJ7Bl+eu3r1Kvr164e0tDSUlJSgT58+cHJywkcffYSSkhJ8+eWXtVEnERERkUkZPNI0ZcoUdO7cGdnZ2dIoEwAMHjwYe/fuNWpxRERERObC4JGmQ4cOITY2FkqlUq+9WbNm+Ouvv4xWGBEREZE5MXikSafTSY9Oud/169fh5ORk0L4OHjyIAQMGwNvbGwqFAj/++KPe9pEjR0KhUOi9+vXrp9fnzp07GD58ONRqNVxcXDB69OgKc6sSExPxzDPPwNbWFj4+Pli6dGmFWrZu3YqnnnoKtra2aNu2LXbt2mXQsRAREdHjzeDQ1LdvX71nzCkUCuTn52P+/Pl4/vnnDdpXQUEB2rdvj1WrVlXZp1+/frh586b02rRpk9724cOHIykpCdHR0fjll19w8OBBjBs3Ttqu0WjQt29f+Pr6Ij4+HsuWLcOCBQuwZs0aqU9sbCyGDRuG0aNH49SpUxg0aBAGDRqEs2fPGnQ8RERE9PgyeMmB69evIywsDEIIXLx4EZ07d8bFixfh5uaGgwcP1nj5AYVCge3bt2PQoEFS28iRI5GTk1NhBKrc+fPn0bp1axw/fhydO3cGcG9l8ueffx7Xr1+Ht7c3Vq9ejXfeeQfp6enSJcXZs2fjxx9/xIULFwAAL7/8MgoKCvDLL79I++7atSs6dOgge2I7lxwgIiKyPLW65ECTJk1w+vRpzJ07F9OmTUPHjh2xZMkSnDp1qlbWa9q/fz88PDzQsmVLTJgwAVlZWdK2uLg4uLi4SIEJAEJDQ2FlZYWjR49KfXr06KE3ByssLAzJycnIzs6W+oSGhup9b1hYGOLi4ox+PERERGSZDJ4IDgANGjTAa6+9ZuxaKujXrx+GDBkCPz8/XLp0CXPnzkX//v0RFxcHa2trpKenVwhqDRo0QMOGDZGeng4ASE9Ph5+fn14fT09PaZurqyvS09Oltvv7lO+jMiUlJSgpKZHeazSaRzpWIiIiMm+yQtOOHTtk7/CFF16ocTEPuv+xLG3btkW7du3QvHlz7N+/H7179zba99TE4sWL8f7775u0BiIiIqo7skLT/fOMqqNQKCq9s85Y/P394ebmhpSUFPTu3RteXl7IzMzU63P37l3cuXMHXl5eAAAvLy9kZGTo9Sl//7A+5dsrM2fOHERGRkrvNRoNfHx8an5wREREZNZkzWnS6XSyXrUZmIB7k9CzsrLQuHFjAEBISAhycnIQHx8v9YmJiYFOp0NwcLDU5+DBgygrK5P6REdHo2XLlnB1dZX6PLgwZ3R0NEJCQqqsRaVSQa1W672IiIjo8VWjZ88ZS35+PhISEpCQkAAASE1NRUJCAtLS0pCfn48ZM2bgyJEjuHLlCvbu3YuBAwciICAAYWFhAIBWrVqhX79+GDt2LI4dO4Y//vgDEydOxCuvvAJvb28AwKuvvgqlUonRo0cjKSkJW7ZswYoVK/RGiaZMmYLdu3fj448/xoULF7BgwQKcOHECEydOrPNzQkRERGZKyBQbGyt+/vlnvbb169eLZs2aCXd3dzF27FhRXFwsd3dCCCH27dsnAFR4jRgxQhQWFoq+ffsKd3d3YWNjI3x9fcXYsWNFenq63j6ysrLEsGHDhKOjo1Cr1eLNN98UeXl5en1Onz4t/va3vwmVSiWeeOIJsWTJkgq1fPfdd+LJJ58USqVSBAYGip07dxp0LLm5uQKAyM3NNehzREREZDqG/H7LXqepf//+ePbZZzFr1iwAwJkzZ9CpUyeMHDkSrVq1wrJly/DWW29hwYIFtRLuzB3XaSIiIrI8tbJOU0JCgt4da5s3b0ZwcDC+/vprREZG4rPPPsN3331X86qJiIiIzJjs0JSdna23ltGBAwfQv39/6f3TTz+Na9euGbc6IiIiIjMhOzR5enoiNTUVAFBaWoqTJ0+ia9eu0va8vDzY2NgYv0IiIiIiMyA7ND3//POYPXs2Dh06hDlz5sDe3h7PPPOMtD0xMRHNmzevlSKJiIiITE32Y1QWLlyIIUOGoGfPnnB0dMT69ev1nuf2f//3f+jbt2+tFElERERkarLvniuXm5sLR0dHWFtb67XfuXMHjo6OekGqPuHdc0RERJbHkN9vgx/Y6+zsXGl7w4YNDd0VERERkcUw6YrgRERERJaCoYmIiIhIBoYmIiIiIhkYmoiIiIhkMHgiOAAkJydj5cqVOH/+PACgVatWmDRpElq2bGnU4oiIiIjMhcEjTdu2bUObNm0QHx+P9u3bo3379jh58iTatGmDbdu21UaNRERERCZn8DpNzZs3x/Dhw/HBBx/otc+fPx///e9/cenSJaMWaCm4ThMREZHlMeT32+CRpps3b+KNN96o0P7aa6/h5s2bhu6OiIiIyCIYHJqeffZZHDp0qEL74cOH9Z5FR0RERPQ4MXgi+AsvvIBZs2YhPj4eXbt2BQAcOXIEW7duxfvvv48dO3bo9SUiIiJ6HBg8p8nKSt7glEKhgFarrVFRlohzmoiIiCxPrT57TqfT1bgwIiIiIkv1SItbFhcXG6sOIiIiIrNmcGjSarVYuHAhnnjiCTg6OuLy5csAgPfeew/ffPON0QskIiIiMgcGh6ZFixYhKioKS5cuhVKplNrbtGmDtWvXGrU4IiIiInNhcGj6z3/+gzVr1mD48OGwtraW2tu3b48LFy4YtTgiIiIic2FwaPrrr78QEBBQoV2n06GsrMwoRRERERGZG4NDU+vWrStd3PL7779Hx44djVIUERERkbkxeMmBefPmYcSIEfjrr7+g0+nwww8/IDk5Gf/5z3/wyy+/1EaNRERERCZn8EjTwIED8fPPP+P333+Hg4MD5s2bh/Pnz+Pnn39Gnz59aqNGIiIiIpMzeEVwqhxXBCciIrI8hvx+12hxy5ycHKxduxZz587FnTt3AAAnT57EX3/9VZPdEREREZk9g+c0JSYmIjQ0FM7Ozrhy5QrGjBmDhg0b4ocffkBaWhr+85//1EadRERERCZl8EhTZGQkRo4ciYsXL8LW1lZqf/7553Hw4EGjFkdERERkLgwOTcePH8dbb71Vof2JJ55Aenq6UYoiIiIiMjcGhyaVSgWNRlOh/c8//4S7u7tRiiIiIiIyNwaHphdeeAEffPCBtPq3QqFAWloaZs2ahaFDhxq9QCIiIiJzYHBo+vjjj5Gfnw8PDw8UFRWhZ8+eCAgIgJOTExYtWlQbNRIRERGZnMF3zzk7OyM6OhqHDx9GYmIi8vPz0alTJ4SGhtZGfURERERmgYtbGgkXtyQiIrI8hvx+GzTSpNPpEBUVhR9++AFXrlyBQqGAn58f/vGPf+D111+HQqF4pMKJiIiIzJXsOU1CCLzwwgsYM2YM/vrrL7Rt2xaBgYG4evUqRo4cicGDB9dmnUREREQmJXukKSoqCgcPHsTevXvx3HPP6W2LiYnBoEGD8J///AdvvPGG0YskIiIiMjXZI02bNm3C3LlzKwQmAOjVqxdmz56NDRs2GLU4IiIiInMhOzQlJiaiX79+VW7v378/Tp8+bZSiiIiIiMyN7NB0584deHp6Vrnd09MT2dnZRimKiIiIyNzIDk1arRYNGlQ9Bcra2hp37941SlFERERE5kb2RHAhBEaOHAmVSlXp9pKSEqMVRURERGRuZIemESNGPLQP75wjIiKix5Xs0LRu3brarIOIiIjIrBn8wF4iIiKi+oihiYiIiEgGk4amgwcPYsCAAfD29oZCocCPP/6ot10IgXnz5qFx48aws7NDaGgoLl68qNfnzp07GD58ONRqNVxcXDB69Gjk5+fr9UlMTMQzzzwDW1tb+Pj4YOnSpRVq2bp1K5566inY2tqibdu22LVrl9GPl4iIiCyXSUNTQUEB2rdvj1WrVlW6fenSpfjss8/w5Zdf4ujRo3BwcEBYWBiKi4ulPsOHD0dSUhKio6Pxyy+/4ODBgxg3bpy0XaPRoG/fvvD19UV8fDyWLVuGBQsWYM2aNVKf2NhYDBs2DKNHj8apU6cwaNAgDBo0CGfPnq29gyciIiLLIswEALF9+3bpvU6nE15eXmLZsmVSW05OjlCpVGLTpk1CCCHOnTsnAIjjx49LfX799VehUCjEX3/9JYQQ4osvvhCurq6ipKRE6jNr1izRsmVL6f1LL70kwsPD9eoJDg4Wb731luz6c3NzBQCRm5sr+zNERERkWob8fpvtnKbU1FSkp6cjNDRUanN2dkZwcDDi4uIAAHFxcXBxcUHnzp2lPqGhobCyssLRo0elPj169IBSqZT6hIWFITk5WVrBPC4uTu97yvuUf09lSkpKoNFo9F5ERET0+DLb0JSeng4AFR7d4unpKW1LT0+Hh4eH3vYGDRqgYcOGen0q28f931FVn/LtlVm8eDGcnZ2ll4+Pj6GHSERERBbEbEOTuZszZw5yc3Ol17Vr10xdEhEREdUisw1NXl5eAICMjAy99oyMDGmbl5cXMjMz9bbfvXsXd+7c0etT2T7u/46q+pRvr4xKpYJardZ7ERER0ePLbEOTn58fvLy8sHfvXqlNo9Hg6NGjCAkJAQCEhIQgJycH8fHxUp+YmBjodDoEBwdLfQ4ePIiysjKpT3R0NFq2bAlXV1epz/3fU96n/HuIiIiITBqa8vPzkZCQgISEBAD3Jn8nJCQgLS0NCoUCU6dOxYcffogdO3bgzJkzeOONN+Dt7Y1BgwYBAFq1aoV+/fph7NixOHbsGP744w9MnDgRr7zyCry9vQEAr776KpRKJUaPHo2kpCRs2bIFK1asQGRkpFTHlClTsHv3bnz88ce4cOECFixYgBMnTmDixIl1fUqIiIjIXNXB3XxV2rdvnwBQ4TVixAghxL1lB9577z3h6ekpVCqV6N27t0hOTtbbR1ZWlhg2bJhwdHQUarVavPnmmyIvL0+vz+nTp8Xf/vY3oVKpxBNPPCGWLFlSoZbvvvtOPPnkk0KpVIrAwECxc+dOg46FSw4QERFZHkN+vxVCCGHCzPbY0Gg0cHZ2Rm5uLuc3ERERWQhDfr8b1FFNRGSmdDqBpBsa3CksRUN7JQK91bCyUpi6LCIis8PQRFSPxabcxmcxF3H5VgFKtToora3g7+6Ayb1aoFuAm6nLIyIyK2Z79xwR1a7YlNuYuS0R8VezkZlXgpzCMmTmlSD+ajZmbktEbMptU5dIRGRWGJqI6iGdTuCzmIvI0BSjTKs/rbFMK5ChKcZnMReh03HKIxFROV6eI6qHkm5ocPlWQYXAVK5MK3D5VgGSbmjQtolzHVdHRPWeVgvk59975eX975WfD/TpA9jZmaQshiaieuhOYSlKtbpq+5RpdbhTWFpHFRGRRdPpKg8497+vqq2y7YWFVX/XpUuAv3/dHdt9GJqI6qGG9koorau/Om9jbYWG9so6qoiI6tSDIUdO4Kmub0FB3dWen1933/UAhiaieijQWw1/dwdkF5ZWeonOxloBf3cHBHpzzTEis1AecgwJM5W1l/93XYacR2VjAzg5/e9lQgxNRPWQlZUCk3u1wMxtiRUmg9tYK+CptsXkXi24XhNRTVUVcgwZ0XkcQo6jo37gqaqtuu1K8xnxZmgiqqe6Bbhh6dB20jpNZVodbLhOE9VXOt29YGJIkKmu3dJCjqHh5sFt979XqUx9RLWGoYmoHusW4Iau/o24IjhZnvKQY+jcm6r6WlLIadBA/qiNnNGexzjkGBtDE1E9Z2Wl4LICVPuE+N9IjiF3VFUVfAoK7u3TElhbA2p11QFH7uWq8v+pUgEK/sPGFBiaiIioovtDTk0uVz04+Tg/33JCTvlIjrEuWTHkPDYYmoiIHgcPjuRUd2lKTgiypJBjbS1/lEZOCGLIoSowNBERmUJ5yJE770bOXViWGnIMuZuqstEcW1uGHKoTDE1ERHIIcW+VYkMDTXUhyNJCjtxLU9XdWeXkxJBDFouhiYgeTw+GnEdZL6f8cpWu+kfPmA0rK8PupHrY/B2GHCIADE1EZC7KQ46hk46rGtWx9JBTk3DDkRyiWsXQREQ1IwRQVFSz+TiVbbPkkPOwy1EPu7TFkENkERiaiOqLB0NOTR/ncP9/W1LIkRNk5C4UaGfHkENUDzE0EZmr8pDzqE8fv/+/tVpTH5U8lYUcOZerqgpG9vYMOUT0yBiaiIylqpBTk0nHlhZyFArDR3GqG9XhSA4RmSGGJqq/hACKi41zucpSQ46hl6eq6s+RHCKqBxiayHKUhxxjPaDT0kLOw1Y2NmREhyGHiMhgDE1Ue4QASkqMc6mq/GWJIacml6cenKdjb39vng8REZkMQxP9z4Mh51FGdMrf371r6qOSpzzkPOrlqvI2BweO5BARPWYYmizZ/SHH0Pk4VX3GUkIOIH/xPzm3mnMkh4iIHoKhydy9/TaQnl512LHkkPOwW8UfNieHIYeIiOoQQ5O527ED+Osv03x3ZZerajqa4+DAkENERBaNocncOTnJ7/tgyJG7unFl7xlyiIiI9DA0mbtp0+5dhnvYyA5DDhERUa1iaDJ348aZugIiIiICwKEJIiIiIhk40kRERNXS6QSSbmhwp7AUDe2VCPRWw8qK65BR/cPQREREVYpNuY3PYi7i8q0ClGp1UFpbwd/dAZN7tUC3ADdTl0dUp3h5joiIKhWbchsztyUi/mo2MvNKkFNYhsy8EsRfzcbMbYmITblt6hKJ6hRDExERVaDTCXwWcxEZmmKUaYXetjKtQIamGJ/FXIROJ6rYA9Hjh6GJiIgqSLqhweVbBRUCU7kyrcDlWwVIuqGp48qITIehiYiIKrhTWIpSra7aPmVaHe4UltZRRUSmx9BEREQVNLRXQmld/U+EjbUVGtor66giItNjaCIiogoCvdXwd3eAjXXlSwvYWCvg7+6AQG91HVdGZDoMTUREVIGVlQKTe7WAp9q2QnCysVbAU22Lyb1acL0mqlcYmoiIqFLdAtywdGg7BPm6wsNJBVd7G3g4qRDk64qlQ9txnSaqd7i4JRERValbgBu6+jfiiuBEYGgiIqKHsLJSoG0TZ1OXQWRyvDxHREREJANHmoiITIgPw6VHxb+husPQRERkInwYLj0q/g3VLYUQgg8OMgKNRgNnZ2fk5uZCrTbeuiX8FwTR46n8YbgPPtut/HZ+3p1GD8O/IeMw5PfbrOc0LViwAAqFQu/11FNPSduLi4sRERGBRo0awdHREUOHDkVGRobePtLS0hAeHg57e3t4eHhgxowZuHv3rl6f/fv3o1OnTlCpVAgICEBUVFRdHN5Dxabcxqtrj2D0+uOYsvkURq8/jlfXHuGTxYksHB+GS4+Kf0OmYdahCQACAwNx8+ZN6XX48GFp27Rp0/Dzzz9j69atOHDgAG7cuIEhQ4ZI27VaLcLDw1FaWorY2FisX78eUVFRmDdvntQnNTUV4eHheO6555CQkICpU6dizJgx2LNnT50e54PK/wURfzUbmXklyCksQ2ZeCeKvZmPmtkQGJyILxofh0qPi35BpmP2cpgYNGsDLy6tCe25uLr755hts3LgRvXr1AgCsW7cOrVq1wpEjR9C1a1f89ttvOHfuHH7//Xd4enqiQ4cOWLhwIWbNmoUFCxZAqVTiyy+/hJ+fHz7++GMAQKtWrXD48GF8+umnCAsLq9NjLSf3XxBd/RvxUh2RBeLDcOlR8W/INMx+pOnixYvw9vaGv78/hg8fjrS0NABAfHw8ysrKEBoaKvV96qmn0LRpU8TFxQEA4uLi0LZtW3h6ekp9wsLCoNFokJSUJPW5fx/lfcr3UZWSkhJoNBq9l7HwXxBEjzc+DJceFf+GTMOsQ1NwcDCioqKwe/durF69GqmpqXjmmWeQl5eH9PR0KJVKuLi46H3G09MT6enpAID09HS9wFS+vXxbdX00Gg2KioqqrG3x4sVwdnaWXj4+Po96uBL+C4Lo8caH4dKj4t+QaZh1aOrfvz9efPFFtGvXDmFhYdi1axdycnLw3Xffmbo0zJkzB7m5udLr2rVrRts3/wVB9Hjjw3DpUfFvyDTMOjQ9yMXFBU8++SRSUlLg5eWF0tJS5OTk6PXJyMiQ5kB5eXlVuJuu/P3D+qjVatjZ2VVZi0qlglqt1nsZC/8FQfT448Nw6VHxb6jumf1E8Pvl5+fj0qVLeP311xEUFAQbGxvs3bsXQ4cOBQAkJycjLS0NISEhAICQkBAsWrQImZmZ8PDwAABER0dDrVajdevWUp9du3bpfU90dLS0D1Mo/xdEdetv8F8QRJaPD8N9PJhyPT3+DdUts17c8p///CcGDBgAX19f3LhxA/Pnz0dCQgLOnTsHd3d3TJgwAbt27UJUVBTUajUmTZoEAIiNjQVwb8mBDh06wNvbG0uXLkV6ejpef/11jBkzBv/6178A3FtyoE2bNoiIiMCoUaMQExODyZMnY+fOnQbdPVcbi1vev9JrmVYHG670SkRkVrgit+Uz5PfbrEearl+/jmHDhiErKwvu7u7429/+hiNHjsDd3R0A8Omnn8LKygpDhw5FSUkJwsLC8MUXX0ift7a2xi+//IIJEyYgJCQEDg4OGDFiBD744AOpj5+fH3bu3Ilp06ZhxYoVaNKkCdauXWuy5Qbux39BEBGZr6pW5M4uLMXMbYmyL5HxyQ+Ww6xHmixJbT1GhYiIzI9OJ/Dq2iOIv5pd6fIwNtYKBPm6YuOYrtUGII5Umd5j8xgVIiIic2SM9fT45AfLw9BERERkoEddT4/PjrNMDE1EREQGetT19PjkB8tk1hPBiYiIzFH5enrZhaVVzmmqbj09PvnBMOYyWZ6hiYiIyECPup4en/wgnzlNlmdoIiKiR1LbowDmMsrwoPIVuWuynt6jjlTVF8Za1sFYGJqIiKjGansUwJxGGSpT0/X0+OSHh5M7Wb6rf6M6O09cp8lIuE4TEdU3VY0ClP/oP+ooQG3v3xzwyQ9VO3M9F6PXH0dmXkmVfTycVPhmxNNo28S5xt/z2KwITkRE5qm2RwHMcZShNvDJD1Uzx8nyDE1ERGQwQ26Zr8koQG3v35xYWSks/hhqgzlOluc6TUREZLDaHgUwx1EGqlvlk+VtrCsfdTPFZHmGJiIiMlhtjwKY4ygD1a3yyfKeatsKwclUk+UZmoiIyGC1PQpgjqMMVPfKl3UI8nWFh5MKrvY28HBSIcjX1SQ3AnBOExERGay2b5nnLflUzpwmy3PJASPhkgNEVB/V9i3zvCWfapshv98MTUbC0ERE9VV9XRGcHg9cp4mIiOpMbd8yz1vyyVxwIjgRERGRDAxNRERERDIwNBERERHJwNBEREREJANDExEREZEMDE1EREREMjA0EREREcnA0EREREQkA0MTERERkQxcEdxIyp9Go9FoTFwJERERyVX+uy3nqXIMTUaSl5cHAPDx8TFxJURERGSovLw8ODtX/7gePrDXSHQ6HW7cuAEnJycoFMZ9kKRGo4GPjw+uXbvGhwHXAM/fo+M5fDQ8f4+O5/DR8PxVTQiBvLw8eHt7w8qq+llLHGkyEisrKzRp0qRWv0OtVvOP/RHw/D06nsNHw/P36HgOHw3PX+UeNsJUjhPBiYiIiGRgaCIiIiKSgaHJAqhUKsyfPx8qlcrUpVgknr9Hx3P4aHj+Hh3P4aPh+TMOTgQnIiIikoEjTUREREQyMDQRERERycDQRERERCQDQxMRERGRDAxNZm7VqlVo1qwZbG1tERwcjGPHjpm6JLN18OBBDBgwAN7e3lAoFPjxxx/1tgshMG/ePDRu3Bh2dnYIDQ3FxYsXTVOsGVq8eDGefvppODk5wcPDA4MGDUJycrJen+LiYkRERKBRo0ZwdHTE0KFDkZGRYaKKzc/q1avRrl07aQHBkJAQ/Prrr9J2nj/DLFmyBAqFAlOnTpXaeA6rt2DBAigUCr3XU089JW3n+Xs0DE1mbMuWLYiMjMT8+fNx8uRJtG/fHmFhYcjMzDR1aWapoKAA7du3x6pVqyrdvnTpUnz22Wf48ssvcfToUTg4OCAsLAzFxcV1XKl5OnDgACIiInDkyBFER0ejrKwMffv2RUFBgdRn2rRp+Pnnn7F161YcOHAAN27cwJAhQ0xYtXlp0qQJlixZgvj4eJw4cQK9evXCwIEDkZSUBIDnzxDHjx/HV199hXbt2um18xw+XGBgIG7evCm9Dh8+LG3j+XtEgsxWly5dREREhPReq9UKb29vsXjxYhNWZRkAiO3bt0vvdTqd8PLyEsuWLZPacnJyhEqlEps2bTJBheYvMzNTABAHDhwQQtw7XzY2NmLr1q1Sn/PnzwsAIi4uzlRlmj1XV1exdu1anj8D5OXliRYtWojo6GjRs2dPMWXKFCEE/wblmD9/vmjfvn2l23j+Hh1HmsxUaWkp4uPjERoaKrVZWVkhNDQUcXFxJqzMMqWmpiI9PV3vfDo7OyM4OJjnswq5ubkAgIYNGwIA4uPjUVZWpncOn3rqKTRt2pTnsBJarRabN29GQUEBQkJCeP4MEBERgfDwcL1zBfBvUK6LFy/C29sb/v7+GD58ONLS0gDw/BkDH9hrpm7fvg2tVgtPT0+9dk9PT1y4cMFEVVmu9PR0AKj0fJZvo//R6XSYOnUqunfvjjZt2gC4dw6VSiVcXFz0+vIc6jtz5gxCQkJQXFwMR0dHbN++Ha1bt0ZCQgLPnwybN2/GyZMncfz48Qrb+Df4cMHBwYiKikLLli1x8+ZNvP/++3jmmWdw9uxZnj8jYGgiogoiIiJw9uxZvbkQJE/Lli2RkJCA3NxcfP/99xgxYgQOHDhg6rIswrVr1zBlyhRER0fD1tbW1OVYpP79+0v/3a5dOwQHB8PX1xffffcd7OzsTFjZ44GX58yUm5sbrK2tK9zVkJGRAS8vLxNVZbnKzxnP58NNnDgRv/zyC/bt24cmTZpI7V5eXigtLUVOTo5ef55DfUqlEgEBAQgKCsLixYvRvn17rFixgudPhvj4eGRmZqJTp05o0KABGjRogAMHDuCzzz5DgwYN4OnpyXNoIBcXFzz55JNISUnh36ARMDSZKaVSiaCgIOzdu1dq0+l02Lt3L0JCQkxYmWXy8/ODl5eX3vnUaDQ4evQoz+f/J4TAxIkTsX37dsTExMDPz09ve1BQEGxsbPTOYXJyMtLS0ngOq6HT6VBSUsLzJ0Pv3r1x5swZJCQkSK/OnTtj+PDh0n/zHBomPz8fly5dQuPGjfk3aAymnolOVdu8ebNQqVQiKipKnDt3TowbN064uLiI9PR0U5dmlvLy8sSpU6fEqVOnBADxySefiFOnTomrV68KIYRYsmSJcHFxET/99JNITEwUAwcOFH5+fqKoqMjElZuHCRMmCGdnZ7F//35x8+ZN6VVYWCj1GT9+vGjatKmIiYkRJ06cECEhISIkJMSEVZuX2bNniwMHDojU1FSRmJgoZs+eLRQKhfjtt9+EEDx/NXH/3XNC8Bw+zPTp08X+/ftFamqq+OOPP0RoaKhwc3MTmZmZQgiev0fF0GTmVq5cKZo2bSqUSqXo0qWLOHLkiKlLMlv79u0TACq8RowYIYS4t+zAe++9Jzw9PYVKpRK9e/cWycnJpi3ajFR27gCIdevWSX2KiorE22+/LVxdXYW9vb0YPHiwuHnzpumKNjOjRo0Svr6+QqlUCnd3d9G7d28pMAnB81cTD4YmnsPqvfzyy6Jx48ZCqVSKJ554Qrz88ssiJSVF2s7z92gUQghhmjEuIiIiIsvBOU1EREREMjA0EREREcnA0EREREQkA0MTERERkQwMTUREREQyMDQRERERycDQRERERCQDQxMRUR26cuUKFAoFEhISqu2XnJwMLy8v5OXl1U1h/9/s2bMxadKkOv1OIkvB0EREBrt16xYmTJiApk2bQqVSwcvLC2FhYfjjjz+kPgqFAj/++KPpiqzCs88+i6lTp5q6jIeaM2cOJk2aBCcnpzr93n/+859Yv349Ll++XKffS2QJGJqIyGBDhw7FqVOnsH79evz555/YsWMHnn32WWRlZRm0n9LS0lqq0LKlpaXhl19+wciRI+v8u93c3BAWFobVq1fX+XcTmTuGJiIySE5ODg4dOoSPPvoIzz33HHx9fdGlSxfMmTMHL7zwAgCgWbNmAIDBgwdDoVBI7xcsWIAOHTpg7dq18PPzg62trbTPMWPGwN3dHWq1Gr169cLp06el7zx9+jSee+45ODk5Qa1WIygoCCdOnAAAXL16FQMGDICrqyscHBwQGBiIXbt21fj4Dh8+jGeeeQZ2dnbw8fHB5MmTUVBQAACYO3cugoODK3ymffv2+OCDD6T3a9euRatWrWBra4unnnoKX3zxhUE1fPfdd2jfvj2eeOIJqS0rKwvDhg3DE088AXt7e7Rt2xabNm2Stq9Zswbe3t7Q6XR6+xo4cCBGjRolvf/www/h4eEBJycnjBkzBrNnz0aHDh30PjNgwABs3rzZoJqJ6gOGJiIyiKOjIxwdHfHjjz+ipKSk0j7Hjx8HAKxbtw43b96U3gNASkoKtm3bhh9++EGa1/Piiy8iMzMTv/76K+Lj49GpUyf07t0bd+7cAQAMHz4cTZo0wfHjxxEfH4/Zs2fDxsYGABAREYGSkhIcPHgQZ86cwUcffQRHR8caHdulS5fQr18/DB06FImJidiyZQsOHz6MiRMnSnUcO3YMly5dkj6TlJSExMREvPrqqwCADRs2YN68eVi0aBHOnz+Pf/3rX3jvvfewfv162XUcOnQInTt31msrLi5GUFAQdu7cibNnz2LcuHF4/fXXcezYMekcZmVlYd++fdJn7ty5g927d2P48OFSbYsWLcJHH32E+Ph4NG3atNIRpS5duuD69eu4cuWK7JqJ6gVTPzGYiCzP999/L1xdXYWtra3o1q2bmDNnjjh9+rReHwBi+/btem3z588XNjY2IjMzU2o7dOiQUKvVori4WK9v8+bNxVdffSWEEMLJyUlERUVVWkvbtm3FggULZNfes2dPMWXKlEq3jR49WowbN06v7dChQ8LKykoUFRUJIYRo3769+OCDD6Ttc+bMEcHBwXp1b9y4UW8fCxcuFCEhIUIIIVJTUwUAcerUqSprfPA7qhIeHi6mT58uvR84cKAYNWqU9P6rr74S3t7eQqvVCiGECA4OFhEREXr76N69u2jfvr1eW25urgAg9u/f/9AaiOoTjjQRkcGGDh2KGzduYMeOHejXrx/279+PTp06ISoq6qGf9fX1hbu7u/T+9OnTyM/PR6NGjaRRLEdHR6SmpkojOpGRkRgzZgxCQ0OxZMkSvZGeyZMn48MPP0T37t0xf/58JCYm1vi4Tp8+jaioKL06wsLCoNPpkJqaCuDeaNPGjRsBAEIIbNq0SRrJKSgowKVLlzB69Gi9fXz44Yd6NT9MUVGRdOmynFarxcKFC9G2bVs0bNgQjo6O2LNnD9LS0qQ+w4cPx7Zt26QRwA0bNuCVV16BldW9/1efnJyMLl266O33wfcAYGdnBwAoLCyUXTNRfcDQREQ1Ymtriz59+uC9995DbGwsRo4cifnz5z/0cw4ODnrv8/Pz0bhxYyQkJOi9kpOTMWPGDAD35kIlJSUhPDwcMTExaN26NbZv3w4AGDNmDC5fvozXX38dZ86cQefOnbFy5coaHVN+fj7eeustvTpOnz6Nixcvonnz5gCAYcOGITk5GSdPnkRsbCyuXbuGl19+Wfo8AHz99dd6+zh79iyOHDkiuw43NzdkZ2frtS1btgwrVqzArFmzsG/fPiQkJCAsLExvMv2AAQMghMDOnTtx7do1HDp0SAp0hii/LHp/uCUioIGpCyCix0Pr1q31lhiwsbGBVqt96Oc6deqE9PR0NGjQQJowXpknn3wSTz75JKZNm4Zhw4Zh3bp1GDx4MADAx8cH48ePx/jx4zFnzhx8/fXXNVprqFOnTjh37hwCAgKq7NOkSRP07NkTGzZsQFFREfr06QMPDw8AgKenJ7y9vXH58uUahZVyHTt2xLlz5/Ta/vjjDwwcOBCvvfYaAECn0+HPP/9E69atpT62trYYMmQINmzYgJSUFLRs2RKdOnWStrds2RLHjx/HG2+8IbXdP9+s3NmzZ2FjY4PAwMAaHwPR44ihiYgMkpWVhRdffBGjRo1Cu3bt4OTkhBMnTmDp0qUYOHCg1K9Zs2bYu3cvunfvDpVKBVdX10r3FxoaipCQEAwaNAhLly7Fk08+iRs3bmDnzp0YPHgwAgMDMWPGDPzjH/+An58frl+/juPHj2Po0KEAgKlTp6J///548sknkZ2djX379qFVq1bVHsOtW7cqLC7ZuHFjzJo1C127dsXEiRMxZswYODg44Ny5c4iOjsbnn38u9R0+fDjmz5+P0tJSfPrpp3r7ef/99zF58mQ4OzujX79+KCkpwYkTJ5CdnY3IyEhZ5zgsLAxjxoyBVquFtbU1AKBFixb4/vvvERsbC1dXV3zyySfIyMjQC03ltf39739HUlKSFLDKTZo0CWPHjkXnzp3RrVs3bNmyBYmJifD399frd+jQIekOQiK6j6knVRGRZSkuLhazZ88WnTp1Es7OzsLe3l60bNlSvPvuu6KwsFDqt2PHDhEQECAaNGggfH19hRD3JoI/OOlYCCE0Go2YNGmS8Pb2FjY2NsLHx0cMHz5cpKWliZKSEvHKK68IHx8foVQqhbe3t5g4caI0MXvixImiefPmQqVSCXd3d/H666+L27dvV1l/z549BYAKr4ULFwohhDh27Jjo06ePcHR0FA4ODqJdu3Zi0aJFevvIzs4WKpVK2Nvbi7y8vArfsWHDBtGhQwehVCqFq6ur6NGjh/jhhx+EEPImgpeVlQlvb2+xe/duqS0rK0sMHDhQODo6Cg8PD/Huu++KN954QwwcOFDvs1qtVjRu3FgAEJcuXaqw7w8++EC4ubkJR0dHMWrUKDF58mTRtWtXvT4tW7YUmzZtqrI+ovpKIYQQJsxsRERUiVWrVmHHjh3Ys2dPrX5Pnz594OXlhW+//RYA8Ouvv2L69OlITExEgwa8GEF0P/5fBBGRGXrrrbeQk5ODvLw8oz1KpbCwEF9++SXCwsJgbW2NTZs24ffff0d0dLTUp6CgAOvWrWNgIqoER5qIiOqJoqIiDBgwAKdOnUJxcTFatmyJd999F0OGDDF1aUQWgaGJiIiISAau00REREQkA0MTERERkQwMTUREREQyMDQRERERycDQRERERCQDQxMRERGRDAxNRERERDIwNBERERHJwNBEREREJMP/A9UoKny57yadAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"column1 = df_merged['Stress Level (avg)']\n",
"column2 = df_merged['Deep Sleep Duration (s)']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "9d63644a-1a73-44f3-8cb0-09f47410d58b",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation Coefficient: nan\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/var/folders/g1/1zlhdjc106z1jjy_cn0v6lxr0000gp/T/ipykernel_58052/1334051228.py:2: SettingWithCopyWarning: \n",
"A value is trying to be set on a copy of a slice from a DataFrame.\n",
"Try using .loc[row_indexer,col_indexer] = value instead\n",
"\n",
"See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
" df_merged['Start Time (Local)'] = pd.to_datetime(df_merged['Start Time (Local)'])\n",
"/Users/manuel/VisualStudioProjects/sleep-analytics/sleep-analytics/.venv/lib/python3.9/site-packages/numpy/lib/function_base.py:2889: RuntimeWarning: Degrees of freedom <= 0 for slice\n",
" c = cov(x, y, rowvar, dtype=dtype)\n",
"/Users/manuel/VisualStudioProjects/sleep-analytics/sleep-analytics/.venv/lib/python3.9/site-packages/numpy/lib/function_base.py:2748: RuntimeWarning: divide by zero encountered in divide\n",
" c *= np.true_divide(1, fact)\n",
"/Users/manuel/VisualStudioProjects/sleep-analytics/sleep-analytics/.venv/lib/python3.9/site-packages/numpy/lib/function_base.py:2748: RuntimeWarning: invalid value encountered in multiply\n",
" c *= np.true_divide(1, fact)\n",
"/Users/manuel/VisualStudioProjects/sleep-analytics/sleep-analytics/.venv/lib/python3.9/site-packages/numpy/lib/function_base.py:2889: RuntimeWarning: Degrees of freedom <= 0 for slice\n",
" c = cov(x, y, rowvar, dtype=dtype)\n",
"/Users/manuel/VisualStudioProjects/sleep-analytics/sleep-analytics/.venv/lib/python3.9/site-packages/numpy/lib/function_base.py:2748: RuntimeWarning: divide by zero encountered in divide\n",
" c *= np.true_divide(1, fact)\n",
"/Users/manuel/VisualStudioProjects/sleep-analytics/sleep-analytics/.venv/lib/python3.9/site-packages/numpy/lib/function_base.py:2748: RuntimeWarning: invalid value encountered in multiply\n",
" c *= np.true_divide(1, fact)\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from datetime import datetime\n",
"df_merged['Start Time (Local)'] = pd.to_datetime(df_merged['Start Time (Local)'])\n",
"column1 = df_merged['Start Time (Local)']\n",
"column1 = pd.Series([dt.hour for dt in column1])\n",
"column2 = df_merged['Duration (h)']\n",
"\n",
"# Calculate the correlation coefficient\n",
"correlation_coefficient = column1.corr(column2)\n",
"\n",
"print(f'Correlation Coefficient: {correlation_coefficient}')\n",
"\n",
"# Create a scatter plot\n",
"sns.scatterplot(x=column1, y=column2)\n",
"\n",
"# Add a regression line and correlation coefficient\n",
"sns.regplot(x=column1, y=column2, ci=None, line_kws={'color': 'red'})\n",
"plt.title(f'Correlation: {column1.corr(column2):.2f}')\n",
"\n",
"# Display the plot\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}