Skip to content

Instantly share code, notes, and snippets.

Created November 10, 2017 08:22
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save anonymous/dbdb944393c50a3d79aead7b75a5d5d0 to your computer and use it in GitHub Desktop.
Save anonymous/dbdb944393c50a3d79aead7b75a5d5d0 to your computer and use it in GitHub Desktop.
network.tcp.sendbuffer
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
},
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import os \n",
"import json\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"from datetime import datetime\n",
"from IPython.display import display, display_markdown\n",
"\n",
"#\n",
"# Hide the plotbox if case miss any one data source\n",
"#\n",
"HIDE_MISSING_CASE = False\n",
"\n",
"DATA_LIST = 'time_list'\n",
"DATA_NAME = 'run_time'\n",
"DELETE_KEY = \"video-recording-fps\"\n",
"\n",
"#\n",
"# Input data source\n",
"#\n",
"input_json_fp = os.getenv(\"input_json_fp\")\n",
"#input_json_fp = \"output/javascript.options.baselinejit.threshold.json\"\n",
"with open(input_json_fp) as read_fh:\n",
" data_dict = json.load(read_fh)\n",
" for item in data_dict:\n",
" if DELETE_KEY in data_dict[item]:\n",
" data_dict[item].pop(DELETE_KEY)\n",
"\n",
"\n",
"#\n",
"# Definde layout and figure size\n",
"#\n",
"layout_row = 1\n",
"layout_column = 1\n",
"fig_size_w = 10\n",
"fig_size_h = 5\n",
"matplotlib.rcParams.update({'figure.max_open_warning': 0})\n",
"\n",
"#\n",
"# generate merged data\n",
"#\n",
"casename_list = list(set([casename for lable, data in data_dict.items() for casename in data.keys()]))\n",
"\n",
"case_result = []\n",
"for casename in casename_list:\n",
" result = {\n",
" \"casename\": casename,\n",
" \"result\": {}\n",
" }\n",
" for lable, data in data_dict.items():\n",
" result[\"result\"][lable] = {}\n",
" \n",
" for lable, data in data_dict.items():\n",
" if data.get(casename):\n",
" result[\"result\"][lable][DATA_LIST] = data.get(casename).get(DATA_LIST)\n",
" else:\n",
" result[\"result\"][lable][DATA_LIST] = []\n",
" case_result.append(result)\n",
"\n",
"nightly_better_list = []\n",
"for case in sorted(case_result):\n",
" casename = case.get('casename')\n",
" result = case.get('result')\n",
" d = pd.DataFrame(result)\n",
" \n",
" # drop empty 'DATA_LIST'\n",
" for c in d:\n",
" if (d[c][DATA_LIST] == []) :\n",
" d.drop(c, axis=1, inplace=True)\n",
"\n",
" # Retrive the value of 'DATA_NAME' from each run\n",
" value = pd.DataFrame([pd.DataFrame(d[c][DATA_LIST])[DATA_NAME] for c in d]).T\n",
" value.columns = d.columns\n",
" \n",
" # Plot input latency boxplot\n",
" value_min = min(value.min())\n",
" value_max = max(value.max())\n",
" value_median = pd.DataFrame([pd.DataFrame(d[c][DATA_LIST])[DATA_NAME].median() for c in d]).T\n",
" value_median.columns = d.columns\n",
" \n",
" # When HIDE_MISSING_CASE is enabled, skip the case if the case data less then input data amount.\n",
" if HIDE_MISSING_CASE and len(INPUT_SOURCE) > len(value.T):\n",
" # display summary\n",
" display_markdown('### {}\\nskip draw plot box'.format(casename), raw=True)\n",
" display(value.describe())\n",
" else:\n",
" \n",
" fig, ax = plt.subplots()\n",
" ax.plot(list(range(1,len(list(value_median.median()))+1)), list(value_median.median()), \"r:\")\n",
" \n",
" value.plot.box(layout=(layout_row, layout_column),\n",
" sharey=True, sharex=True, figsize=(fig_size_w, fig_size_h),\n",
" ylim=(0, value_max*1.1), ax=ax)\n",
" plt.title(casename)\n",
" if \"Nightly\" in value_median and \"ESR52\" in value_median:\n",
" if value_median['Nightly'][0] < value_median['ESR52'][0]:\n",
" nightly_better_list.append(casename)\n",
" # display summary\n",
" display(casename)\n",
" display(value.describe().T)"
],
"language": "python",
"metadata": {
"scrolled": false
},
"outputs": [
{
"output_type": "display_data",
"text": [
"u'test_firefox_amazon_ail_hover_related_product_thumbnail'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>431.111111</td>\n",
" <td>33.044012</td>\n",
" <td>400.0</td>\n",
" <td>405.555556</td>\n",
" <td>422.222222</td>\n",
" <td>433.333333</td>\n",
" <td>488.888889</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 431.111111 33.044012 400.0 405.555556 422.222222 \n",
"\n",
" 75% max \n",
"default 433.333333 488.888889 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_amazon_ail_select_search_suggestion'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>7.222222</td>\n",
" <td>5.270463</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>22.222222</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% 75% \\\n",
"default 10.0 7.222222 5.270463 5.555556 5.555556 5.555556 5.555556 \n",
"\n",
" max \n",
"default 22.222222 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_amazon_ail_type_in_search_field'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>12.777778</td>\n",
" <td>6.953698</td>\n",
" <td>5.555556</td>\n",
" <td>6.944444</td>\n",
" <td>11.111111</td>\n",
" <td>19.444444</td>\n",
" <td>22.222222</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% 75% \\\n",
"default 10.0 12.777778 6.953698 5.555556 6.944444 11.111111 19.444444 \n",
"\n",
" max \n",
"default 22.222222 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_facebook_ail_click_close_chat_tab'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>64.444444</td>\n",
" <td>16.396995</td>\n",
" <td>44.444444</td>\n",
" <td>50.0</td>\n",
" <td>66.666667</td>\n",
" <td>66.666667</td>\n",
" <td>88.888889</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% 75% \\\n",
"default 10.0 64.444444 16.396995 44.444444 50.0 66.666667 66.666667 \n",
"\n",
" max \n",
"default 88.888889 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_facebook_ail_click_open_chat_tab'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>177.777778</td>\n",
" <td>59.027324</td>\n",
" <td>111.111111</td>\n",
" <td>133.333333</td>\n",
" <td>144.444444</td>\n",
" <td>233.333333</td>\n",
" <td>266.666667</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 177.777778 59.027324 111.111111 133.333333 144.444444 \n",
"\n",
" 75% max \n",
"default 233.333333 266.666667 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_facebook_ail_click_open_chat_tab_emoji'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>85.555556</td>\n",
" <td>12.883353</td>\n",
" <td>66.666667</td>\n",
" <td>77.777778</td>\n",
" <td>83.333333</td>\n",
" <td>88.888889</td>\n",
" <td>111.111111</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 85.555556 12.883353 66.666667 77.777778 83.333333 \n",
"\n",
" 75% max \n",
"default 88.888889 111.111111 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_facebook_ail_click_photo_viewer_right_arrow'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>90.0</td>\n",
" <td>9.728834</td>\n",
" <td>77.777778</td>\n",
" <td>80.555556</td>\n",
" <td>88.888889</td>\n",
" <td>100.0</td>\n",
" <td>100.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% 75% max\n",
"default 10.0 90.0 9.728834 77.777778 80.555556 88.888889 100.0 100.0"
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_facebook_ail_scroll_home_1_txt'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>50.0</td>\n",
" <td>7.856742</td>\n",
" <td>33.333333</td>\n",
" <td>44.444444</td>\n",
" <td>55.555556</td>\n",
" <td>55.555556</td>\n",
" <td>55.555556</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% 75% \\\n",
"default 10.0 50.0 7.856742 33.333333 44.444444 55.555556 55.555556 \n",
"\n",
" max \n",
"default 55.555556 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_facebook_ail_type_comment_1_txt'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>32.222222</td>\n",
" <td>11.04921</td>\n",
" <td>11.111111</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>55.555556</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 32.222222 11.04921 11.111111 33.333333 33.333333 \n",
"\n",
" 75% max \n",
"default 33.333333 55.555556 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_facebook_ail_type_composerbox_1_txt'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>27.777778</td>\n",
" <td>7.856742</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" <td>33.333333</td>\n",
" <td>44.444444</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 27.777778 7.856742 22.222222 22.222222 22.222222 \n",
"\n",
" 75% max \n",
"default 33.333333 44.444444 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_facebook_ail_type_message_1_txt'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>9.0</td>\n",
" <td>18.518519</td>\n",
" <td>10.758287</td>\n",
" <td>5.555556</td>\n",
" <td>11.111111</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" <td>33.333333</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 9.0 18.518519 10.758287 5.555556 11.111111 22.222222 \n",
"\n",
" 75% max \n",
"default 22.222222 33.333333 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_gdoc_ail_pagedown_10_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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>44.444444</td>\n",
" <td>7.407407</td>\n",
" <td>33.333333</td>\n",
" <td>44.444444</td>\n",
" <td>44.444444</td>\n",
" <td>44.444444</td>\n",
" <td>55.555556</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 44.444444 7.407407 33.333333 44.444444 44.444444 \n",
"\n",
" 75% max \n",
"default 44.444444 55.555556 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_gdoc_ail_type_0'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>60.0</td>\n",
" <td>9.369712</td>\n",
" <td>44.444444</td>\n",
" <td>55.555556</td>\n",
" <td>66.666667</td>\n",
" <td>66.666667</td>\n",
" <td>66.666667</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% 75% \\\n",
"default 10.0 60.0 9.369712 44.444444 55.555556 66.666667 66.666667 \n",
"\n",
" max \n",
"default 66.666667 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_gmail_ail_compose_new_mail_via_keyboard'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>212.222222</td>\n",
" <td>58.666012</td>\n",
" <td>166.666667</td>\n",
" <td>177.777778</td>\n",
" <td>200.0</td>\n",
" <td>222.222222</td>\n",
" <td>366.666667</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 212.222222 58.666012 166.666667 177.777778 200.0 \n",
"\n",
" 75% max \n",
"default 222.222222 366.666667 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_gmail_ail_open_mail'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>208.888889</td>\n",
" <td>67.647111</td>\n",
" <td>177.777778</td>\n",
" <td>180.555556</td>\n",
" <td>188.888889</td>\n",
" <td>197.222222</td>\n",
" <td>400.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 208.888889 67.647111 177.777778 180.555556 188.888889 \n",
"\n",
" 75% max \n",
"default 197.222222 400.0 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_gmail_ail_reply_mail'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>237.777778</td>\n",
" <td>22.951012</td>\n",
" <td>200.0</td>\n",
" <td>225.0</td>\n",
" <td>233.333333</td>\n",
" <td>255.555556</td>\n",
" <td>266.666667</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% 75% \\\n",
"default 10.0 237.777778 22.951012 200.0 225.0 233.333333 255.555556 \n",
"\n",
" max \n",
"default 266.666667 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_gmail_ail_type_in_reply_field'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>14.444444</td>\n",
" <td>7.027284</td>\n",
" <td>5.555556</td>\n",
" <td>11.111111</td>\n",
" <td>11.111111</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 14.444444 7.027284 5.555556 11.111111 11.111111 \n",
"\n",
" 75% max \n",
"default 22.222222 22.222222 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_gsearch_ail_select_image_cat'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>65.555556</td>\n",
" <td>8.198498</td>\n",
" <td>44.444444</td>\n",
" <td>66.666667</td>\n",
" <td>66.666667</td>\n",
" <td>66.666667</td>\n",
" <td>77.777778</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 65.555556 8.198498 44.444444 66.666667 66.666667 \n",
"\n",
" 75% max \n",
"default 66.666667 77.777778 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_gsearch_ail_select_search_suggestion'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>22.222222</td>\n",
" <td>7.407407</td>\n",
" <td>11.111111</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" <td>33.333333</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 22.222222 7.407407 11.111111 22.222222 22.222222 \n",
"\n",
" 75% max \n",
"default 22.222222 33.333333 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_gsearch_ail_type_searchbox'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>8.333333</td>\n",
" <td>5.39903</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>9.722222</td>\n",
" <td>22.222222</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% 75% \\\n",
"default 10.0 8.333333 5.39903 5.555556 5.555556 5.555556 9.722222 \n",
"\n",
" max \n",
"default 22.222222 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_gsheet_ail_clicktab_0'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>908.888889</td>\n",
" <td>380.592275</td>\n",
" <td>222.222222</td>\n",
" <td>977.777778</td>\n",
" <td>994.444444</td>\n",
" <td>1033.333333</td>\n",
" <td>1477.777778</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 908.888889 380.592275 222.222222 977.777778 994.444444 \n",
"\n",
" 75% max \n",
"default 1033.333333 1477.777778 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_gsheet_ail_type_0'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>44.444444</td>\n",
" <td>16.563466</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>52.777778</td>\n",
" <td>77.777778</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 44.444444 16.563466 33.333333 33.333333 33.333333 \n",
"\n",
" 75% max \n",
"default 52.777778 77.777778 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_outlook_ail_composemail_0'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>375.555556</td>\n",
" <td>26.604867</td>\n",
" <td>344.444444</td>\n",
" <td>355.555556</td>\n",
" <td>372.222222</td>\n",
" <td>397.222222</td>\n",
" <td>422.222222</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 375.555556 26.604867 344.444444 355.555556 372.222222 \n",
"\n",
" 75% max \n",
"default 397.222222 422.222222 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_ymail_ail_compose_new_mail'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>290.0</td>\n",
" <td>15.225781</td>\n",
" <td>266.666667</td>\n",
" <td>280.555556</td>\n",
" <td>288.888889</td>\n",
" <td>297.222222</td>\n",
" <td>322.222222</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"default 10.0 290.0 15.225781 266.666667 280.555556 288.888889 \n",
"\n",
" 75% max \n",
"default 297.222222 322.222222 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_ymail_ail_type_in_reply_field'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>37.222222</td>\n",
" <td>62.638051</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>8.333333</td>\n",
" <td>22.222222</td>\n",
" <td>200.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% 75% \\\n",
"default 10.0 37.222222 62.638051 5.555556 5.555556 8.333333 22.222222 \n",
"\n",
" max \n",
"default 200.0 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_youtube_ail_select_search_suggestion'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>13.888889</td>\n",
" <td>11.490439</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>8.333333</td>\n",
" <td>19.444444</td>\n",
" <td>33.333333</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% 75% \\\n",
"default 10.0 13.888889 11.490439 5.555556 5.555556 8.333333 19.444444 \n",
"\n",
" max \n",
"default 33.333333 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_youtube_ail_type_in_search_field'"
]
},
{
"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>count</th>\n",
" <th>mean</th>\n",
" <th>std</th>\n",
" <th>min</th>\n",
" <th>25%</th>\n",
" <th>50%</th>\n",
" <th>75%</th>\n",
" <th>max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>10.555556</td>\n",
" <td>6.651217</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>8.333333</td>\n",
" <td>11.111111</td>\n",
" <td>22.222222</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% 75% \\\n",
"default 10.0 10.555556 6.651217 5.555556 5.555556 8.333333 11.111111 \n",
"\n",
" max \n",
"default 22.222222 "
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# show plot\n",
"plt.show()"
],
"language": "python",
"metadata": {
"scrolled": false
},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x104ef6cd0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x104f71110>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nA2EuGUa7OfmIAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x105126b10>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAFtVJREFUeJzt3Xm0JmV9J/DvTxoEkVU6HRalGXBE\nXILaLtFxiWgiUQPnxHXUoEOCThb3RMbkuGTMgE4SdQ7jwkiUEaMoGkWMGoeIyniCaXBhAA2IIKu2\nSgvqTBR95o+qji83d3lvP/dy76U/n3PqdNX71PJ7qure93urqt+3WmsBAGD73GmlCwAAWMuEKQCA\nDsIUAEAHYQoAoIMwBQDQQZgCAOggTAEAdBCmYIaq2q2qPlpV36+qD1TVs6rq75ZqfUtZ68Q2HlFV\nl1fVD6rq2GXaxnOr6vxlWO9jquraJV7nx6vquHG8q+6qek1VnTGO32PcxzstsMyS9qmqzquq316q\n9S2Fqrqqqh630nXMtBr3FXd8whSr3lL80l7kG+pTkmxIcrfW2lNba+9prf1qx+Zvs76O9cznT5Oc\n0lq7a2vtw8u0jTWjtXZ0a+30ZVjvN8d9/NOlXveOZDGBp6paVR223DVBD2EK/rWDk/xTa+3WhWas\nqnVLub4OBye5ZBnXD8AchClWtap6d5J7JPnoeHvlj6rqYVX1+araWlVfrqrHTMz/3Kq6sqpuqapv\njLfo7p3kbUl+eVzH1nm299okr0ry9HHe42de1Rr/Uv69qro8yeXja4dX1aeq6ntV9bWqeto867tT\nVf1JVV1dVd+uqv9ZVXuN8z99rHvPcfroqrqxqtbPU/PXk/ybiX1056p6XlVdNu6HK6vq+TOWOaaq\nvlRVN1fV16vqCePre1XVaVV1Q1VdV1Wvm3FLq6rqlPGW5Ver6qiJhgOq6uxxH1xRVb8z0XbnqnpT\nVV0/Dm+qqjvP0Z8XVtWlVXXQPH3ep6rOqaotVXXTOH7QRPuib/VU1X0mjuG3quqVs8yzcTz+68bp\nfavqnWOfbqqqWa8KTtOncb5Zj8uMeeY7f3atqjOq6rvjz8c/VtWGsW2hYztXTb8zcS5dWlUPnGg+\nsqq+Mp4PZ1bVruMycx6fqvqzJI9Mcsp4vp4yz7Y/O45+eZz36Qsd+9GhVfWFcT9+pKr2Xaif0KW1\nZjCs6iHJVUkeN44fmOS7SX49wx8Djx+n1yfZPcnNSe41zrt/kvuM489Ncv6U23tNkjMmpm+zbJKW\n5FNJ9k2y27jda5I8L8m6JA9I8p0kR8yxvv+Q5IoMAeiuST6U5N0T7e9J8q4kd0tyfZInLWYfjdNP\nTHJokkry6CQ/SvLAse0hSb4/7rs7jfv08LHtb5K8fezTLyT5QpLnT+yHW5O8JMnOSZ4+rmffsf2z\nSd6SZNckRybZkuSxY9ufJvmHcZ3rk3w+yX8e2x6T5Npx/FVJLkqyfoH+3i3Jbya5S5I9knwgyYcn\n2s9L8tvTHvtxHTckedlY/x5JHjrz+CXZOB7/deP0x5KcmWSfcZ88uqNP8x2Xyf7Mef4keX6Sj477\nZackD0qy50LHdp6anprkuiQPznAuHZbk4Ilz7gtJDsjws3BZkhcs9vhMcW63JIct8thfl+S+Y18/\nmImfP4NhOYYVL8BgWGjIbcPUKzIRPMbXPpnkuPEX59bxF+1uM+ZZ8A11Yt7XZOEw9diJ6acn+dyM\ndbw9yavnWN+5SX53YvpeSX6Sn79B753km0kuTvL2xe6jOdo/nORFE7W9cZZ5NiT558l9l+SZST49\nsR+uT1IT7V9I8pwkd0/y0yR7TLSdlORd4/jXk/z6RNuvJblqHH/M+Ob3l0nOT7LXdpwjRya5aWL6\nX96spzn2Yz+/uND5kIkwlSGs/yzJPrMss+g+zXVcZunPnOdPhqD1+ST3X8yxnaemT247b+Y45549\nMf2GJG9b7PGZYr/cJkxNue6TJ6aPSPLjJDst9rwyGKYd3OZjrTk4yVPHWxhba7hl9++S7N9a+2GG\nYPOCJDdU1ceq6vBlquOaGTU9dEZNz0ryi3Mse0CSqyemr87wRrghSVprWzP8tX3fJH+xPcXVcHvw\nH8ZbVlszXMnbb2y+e4ZwM9PBGa6u3DDRj7dnuIqxzXWttTaj9gPG4XuttVtmtB04js/W5wMmpvdO\nckKSk1pr35+if3epqrePt7puznBVbO9pblvNYa59stAy32ut3TRH+6L6tIga5jt/3p0hAL1vvPX4\nhqraOdMd2+2p6caJ8R9luFK2HMfnX0y57smfz6sz9H2/wDIRplgLJt+8r8lwZWrviWH31trJSdJa\n+2Rr7fEZrhp8Ncn/mGUdy1HTZ2bUdNfW2n+cY9nrM7y5bXOPDLfPvpUkVXVkhisM703y3xZb2Pgs\n0geT/HmSDa21vZP8bYbbNNvqPXSWRa/JcPViv4l+7Nlau8/EPAdWVU1M32Psz/VJ9q2qPWa0XTeO\nz9bn6yemb0rypCTvrKpHTNHNl2W4IvPQ1tqeSR41vl5zLzKvazLcNlvsMvtW1d5ztC+2T3Mdl5nm\nPH9aaz9prb22tXZEkoeP2/+tTHdse2qaaaHj0/PzOM2xv/vE+D0yXLn7Tsc2YV7CFGvBt/LzN7oz\nkjy5qn6tqnYaH7h9TFUdVFUbxgd4d8/wxvGDDLdhtq3joKraZRnqOyfJv62q51TVzuPw4BoefJ/N\ne5O8pKoOqaq7JvkvSc5srd06PsB7RpJXZngG68Cq+t1F1rNLkjtneGbp1qo6OsnkRzucluR5VXXU\n+DDzgVV1eGvthiR/l+QvqmrPse3Qqnr0xLK/kOSFYx+fmuTeSf62tXZNhttLJ43H5P5Jjh/7sq3P\nf1JV66tqvwzPEZ0xsd601s7LcEXvQ1X1kAX6uEeS/5tk6/hw8asXtYf+tXOS7F9VL67hYfk9quqh\n8y0w7q+PJ3nL+FD0zlX1qBnznJfp+zTrcZllvvnOn1+pqvuNV2luzhAifjblsZ3NO5K8vKoeVIPD\nqurgBZZJFj4+kz/TC5k57zTH/tlVdURV3SXD83pnNR9nwTISplgLTsrwRrw1w228YzKEjS0Z/nL+\nwwzn8p2SvDTDX+7fy/Dg9barQ3+f4aMDbqyqJf0Ldby19atJnjFu+8Ykr88QaGbzVxlux3w2yTeS\n/L8kfzC2nZTkmtbaW1tr/5zk2UleV1X3XGQ9L0zy/gxXR/59krMn2r+QIai9McMDz5/Jz690/FaG\nMHbpuOxZGa7ybXNBkntm+Cv/z5I8pbX23bHtmRmeKbo+w8POr26t/a+x7XVJNif5SoZnwS4aX5tZ\n+6cyXJX7aN32f43N9KYMD/9/J8OD7Z+YZ94Fjfvs8UmenOH4XZ7kV6ZY9DkZAstXk3w7yYtnWfdU\nfVrguEya7/z5xQzH7OYMD4R/Zpw3WfjYzlbTBzIc579OckuGZ++m+Z9xCx2fNyd5Sg3/G2+hq6+v\nSXL6eHvyaVOsOxn6/K4Mx3LXDD8PsGzqto8/AACwGK5MAQB0EKbYIVXVJTV8CODM4VkrXdtsquqR\nc9T7g5WubblU1Svn6PPHt3N9K74Pl7pPS1TT2+ao6W230/ZX/LhAL7f5AAA6uDIFANBhmi9pXTL7\n7bdf27hx4+25SQCA7XLhhRd+p7U253ejbnO7hqmNGzdm8+bNt+cmAQC2S1VdvfBcbvMBAHQRpgAA\nOghTAAAdhCkAgA7CFABAB2EKAKCDMAUA0EGYAgDoIEwBAHQQpgAAOghTAAAdhCkAgA7CFABAB2EK\nAKCDMAUA0EGYAgDoIEwBAHQQpgAAOghTAAAdhCkAgA7CFABAB2EKAKCDMAUA0GHdShcA7FiqaqVL\nmFprbaVLANYAV6aA21VrbcmHg19xzrKsF2AawhQAQAdhCgCggzAFANBBmAIA6CBMAQB0EKYAADoI\nUwAAHYQpAIAOwhQAQAdhCgCggzAFANBBmAIA6CBMAQB0EKYAADoIUwAAHYQpAIAOwhQAQAdhCgCg\ngzAFANBhqjBVVS+pqkuq6v9U1XurateqOqSqLqiqK6rqzKraZbmLBQBYbRYMU1V1YJIXJtnUWrtv\nkp2SPCPJ65O8sbV2WJKbkhy/nIUCAKxG097mW5dkt6pal+QuSW5I8tgkZ43tpyc5dunLAwBY3RYM\nU62165L8eZJvZghR309yYZKtrbVbx9muTXLgbMtX1QlVtbmqNm/ZsmVpqgYAWCWmuc23T5JjkhyS\n5IAkuyd5wrQbaK2d2lrb1FrbtH79+u0uFABgNZrmNt/jknyjtbaltfaTJB9K8ogke4+3/ZLkoCTX\nLVONAACr1jRh6ptJHlZVd6mqSnJUkkuTfDrJU8Z5jkvykeUpEQBg9ZrmmakLMjxoflGSi8dlTk3y\niiQvraorktwtyWnLWCcAwKq0buFZktbaq5O8esbLVyZ5yJJXBACwhvgEdACADsIUAEAHYQoAoIMw\nBQDQQZgCAOggTAEAdBCmAAA6CFMAAB2EKQCADsIUAEAHYQoAoIMwBQDQQZgCAOggTAEAdBCmAAA6\nCFMAAB2EKQCADsIUAEAHYQoAoIMwBQDQQZgCAOggTAEAdBCmAAA6CFMAAB2EKQCADsIUAEAHYQoA\noIMwBQDQQZgCAOggTAEAdBCmAAA6rFvpAoDV636n32+lS5jKHvdO7nf6iStdxlQuPu7ilS4BWGLC\nFDCnWy47OVed/MSVLuMOY+OJH1vpEoBl4DYfAEAHYQoAoIMwBQDQQZgCAOggTAEAdBCmAAA6CFMA\nAB2EKQCADsIUAEAHYQoAoIMwBQDQQZgCAOggTAEAdJgqTFXV3lV1VlV9taouq6pfrqp9q+pTVXX5\n+O8+y10sAMBqM+2VqTcn+URr7fAkv5TksiQnJjm3tXbPJOeO0wAAO5QFw1RV7ZXkUUlOS5LW2o9b\na1uTHJPk9HG205Mcu1xFAgCsVtNcmTokyZYk76yqL1bVO6pq9yQbWms3jPPcmGTDchUJALBaTROm\n1iV5YJK3ttYekOSHmXFLr7XWkrTZFq6qE6pqc1Vt3rJlS2+9AACryjRh6tok17bWLhinz8oQrr5V\nVfsnyfjvt2dbuLV2amttU2tt0/r165eiZgCAVWPBMNVauzHJNVV1r/Glo5JcmuTsJMeNrx2X5CPL\nUiEAwCq2bsr5/iDJe6pqlyRXJnlehiD2/qo6PsnVSZ62PCUCAKxeU4Wp1tqXkmyapemopS0HAGBt\n8QnoAAAdhCkAgA7CFABAB2EKAKCDMAUA0EGYAgDoIEwBAHQQpgAAOghTAAAdhCkAgA7CFABAB2EK\nAKCDMAUA0EGYAgDoIEwBAHQQpgAAOghTAAAdhCkAgA7CFABAB2EKAKCDMAUA0EGYAgDoIEwBAHRY\nt9IFAKvbxhM/ttIl3GHstdvOK10CsAyEKWBOV538xJUuYSobT/zYmqkVuONxmw8AoIMwBQDQQZgC\nAOggTAEAdBCmAAA6CFMAAB2EKQCADsIUAEAHYQoAoIMwBQDQQZgCAOggTAEAdBCmAAA6rFvpAoAd\nS1Utz3pfv/TrbK0t/UqBOxxhCrhdCSjAHY3bfAAAHYQpAIAOwhQAQAdhCgCggzAFANBBmAIA6CBM\nAQB0mDpMVdVOVfXFqjpnnD6kqi6oqiuq6syq2mX5ygQAWJ0Wc2XqRUkum5h+fZI3ttYOS3JTkuOX\nsjAAgLVgqjBVVQcleWKSd4zTleSxSc4aZzk9ybHLUSAAwGo27ZWpNyX5oyQ/G6fvlmRra+3Wcfra\nJAcucW0AAKvegmGqqp6U5NuttQu3ZwNVdUJVba6qzVu2bNmeVQAArFrTXJl6RJLfqKqrkrwvw+29\nNyfZu6q2fVHyQUmum23h1tqprbVNrbVN69evX4KSAQBWjwXDVGvtP7XWDmqtbUzyjCR/31p7VpJP\nJ3nKONtxST6ybFUCAKxSPZ8z9YokL62qKzI8Q3Xa0pQEALB2rFt4lp9rrZ2X5Lxx/MokD1n6kgAA\n1g6fgA4A0EGYAgDoIEwBAHQQpgAAOghTAAAdhCkAgA7CFABAB2EKAKCDMAUA0EGYAgDoIEwBAHQQ\npgAAOghTAAAdhCkAgA7CFABAB2EKAKCDMAUA0EGYAgDoIEwBAHQQpgAAOghTAAAdhCkAgA7CFABA\nB2EKAKCDMAUA0EGYAgDoIEwBAHQQpgAAOghTAAAdhCkAgA7CFABAB2EKAKCDMAUA0EGYAgDoIEwB\nAHQQpgAAOghTAAAdhCkAgA7CFABAB2EKAKCDMAUA0EGYAgDoIEwBAHQQpgAAOghTAAAdhCkAgA4L\nhqmquntVfbqqLq2qS6rqRePr+1bVp6rq8vHffZa/XACA1WWaK1O3JnlZa+2IJA9L8ntVdUSSE5Oc\n21q7Z5Jzx2kAgB3KgmGqtXZDa+2icfyWJJclOTDJMUlOH2c7Pcmxy1UkAMBqtahnpqpqY5IHJLkg\nyYbW2g1j041JNixpZQAAa8DUYaqq7prkg0le3Fq7ebKttdaStDmWO6GqNlfV5i1btnQVCwCw2kwV\npqpq5wxB6j2ttQ+NL3+rqvYf2/dP8u3Zlm2tndpa29Ra27R+/fqlqBkAYNWY5n/zVZLTklzWWvvL\niaazkxw3jh+X5CNLXx4AwOq2bop5HpHkOUkurqovja+9MsnJSd5fVccnuTrJ05anRACA1WvBMNVa\nOz9JzdF81NKWAwCwtvgEdACADsIUAEAHYQoAoIMwBQDQQZgCAOggTAEAdBCmAAA6CFMAAB2EKQCA\nDsIUAEAHYQoAoIMwBQDQQZgCAOggTAEAdBCmAAA6CFMAAB2EKQCADsIUAEAHYQoAoIMwBQDQQZgC\nAOggTAEAdBCmAAA6CFMAAB2EKQCADsIUAEAHYQoAoIMwBQDQQZgCAOggTAEAdBCmAAA6CFMAAB2E\nKQCADsIUAEAHYQoAoIMwBQDQQZgCAOggTAEAdBCmAAA6CFMAAB2EKQCADsIUAEAHYQoAoIMwBQDQ\nQZgCAOggTAEAdBCmAAA6dIWpqnpCVX2tqq6oqhOXqigAgLViu8NUVe2U5L8nOTrJEUmeWVVHLFVh\nAABrQc+VqYckuaK1dmVr7cdJ3pfkmKUpCwBgbegJUwcmuWZi+trxNQCAHca65d5AVZ2Q5IRx8gdV\n9bXl3iaww9kvyXdWugjgDufgaWbqCVPXJbn7xPRB42u30Vo7NcmpHdsBmFdVbW6tbVrpOoAdU89t\nvn9Mcs+qOqSqdknyjCRnL01ZAABrw3ZfmWqt3VpVv5/kk0l2SvJXrbVLlqwyAIA1oFprK10DQJeq\nOmF8pADgdidMAQB08HUyAAAdhClgVamq11TVy+dpX19VF1TVF6vqkdux/udW1Snj+LG+uQHoJUwB\na81RSS5urT2gtfa5znUdm+HrsAC2mzAFrLiq+uOq+qeqOj/JvcbXDq2qT1TVhVX1uao6vKqOTPKG\nJMdU1ZeqareqemtVba6qS6rqtRPrvKqq9hvHN1XVeTO2+fAkv5Hkv47rOvT26i9wx7Lsn4AOMJ+q\nelCGz6k7MsPvpIuSXJjhw35f0Fq7vKoemuQtrbXHVtWrkmxqrf3+uPwft9a+N375+rlVdf/W2lcW\n2m5r7fNVdXaSc1prZy1T94AdgDAFrLRHJvmb1tqPkmQMOLsmeXiSD1TVtvnuPMfyTxu/tmpdkv0z\n3LZbMEwBLBVhCliN7pRka2vtyPlmqqpDkrw8yYNbazdV1bsyBLEkuTU/f5Rh11kWB1gSnpkCVtpn\nkxw7Pv+0R5InJ/lRkm9U1VOTpAa/NMuyeyb5YZLvV9WGJEdPtF2V5EHj+G/Ose1bkuzR3wVgRyZM\nASuqtXZRkjOTfDnJxzN872eSPCvJ8VX15SSXJDlmlmW/nOSLSb6a5K+T/O+J5tcmeXNVbU7y0zk2\n/74kfzh+zIIH0IHt4hPQAQA6uDIFANBBmAIA6CBMAQB0EKYAADoIUwAAHYQpAIAOwhQAQAdhCgCg\nw/8HX5cM3MvZpOYAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1051f58d0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJKkBQ5YkSVIDhixJkqQG/j/vZ/up27/rcQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x105221410>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n1IAhS5IkqQFDliRJUgP/H4PCPFFBuNqsAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1052cbb50>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nA1EZxuEi+thqAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1052eead0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n3gAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x105370210>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x105447fd0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCgBggDAFADBAmAIAGPD/AQ4+B8S0rGg3AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1054bf810>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x105507090>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkhoYpiRJkhoYpiRJkhoYpiRJkhr8P/KXAYqgey5cAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x105574510>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSZIkNfj/jPo9rEmOwIQAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1055a0910>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSZIkdWDIkiRJ6uD/A3Pv7sTBBLWHAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1056088d0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJHVgyJIkSerAkCVJktTB/wdRWSakReKPLQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x105681d50>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x10571a4d0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/i/1iHIjx6pSfgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1057e4fd0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkiRJamCYkiRJavD/AcNI/Bsm3CAJAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x104f71090>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGhimJEmSGvx/s1F6PAUg3icAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1058c6cd0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDosAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1058ce050>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAmAAAAE/CAYAAADhW39vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10592add0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x1059a80d0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAF7pJREFUeJzt3X2UZVV95vHvA90CkTeBHgYbQiug\nQIyidhAxrrggEhGxWWsENKhIWGE5gxONr4BJlIkJmMxodJxgiBgQlDeNA4ImEghBY3xpFDQECS3C\nalqQ5qVbECSiv/nj7B4vZXVXVVdtq6r7+1nrrjpnn333+d1Tt/s+dc6+96aqkCRJ0szaYrYLkCRJ\n2hQZsiRJkjowZEmSJHVgyJIkSerAkCVJktSBIUuSJKkDQ5Y0C5Jsk+QzSdYmuTTJcUk+P1PjzWSt\nPSR5XZIvzsA4705ywUzUNDLmQ0me2pbPTfKemRx/c5XkpiQvassz/nuT5iJDlgQkuT3Jb05zjKkE\nh1cAuwI7V9XRVfXxqjpsGrt/3HjTGGfGJVmSpJIsmO1aJqOqtq2q22a7jk1NVf1KVV07lfskOSDJ\n9Ukebj8P6FSe1IUhS5odewL/XlWPTdRxkuFk0uNJ80GSJwCXARcATwLOAy5r7dK8YMjSZi/J+cAv\nA59pl4renuSgJF9KsibJjesuc7T+r0tyW5IHk3y3XerbD/gw8Pw2xpoN7O904I+AY1vfE8eeBWtn\nfk5Ocitwa2vbN8lVSe5PckuSYzYw3hZJ/iDJHUnuSfKxJDu0/se2urdv64cnuTvJogmO08FJvtYu\nSX4tycEj2x53JnDM5aDr2s81rb7nT3HsJye5vD3uFUl+dz31LUxyYZJPbeiFOMmBSf6l/W7vSvKh\n0f7t2O+9oWMxzpjLktyQ5AdJvpPkJRPV3o7RpUkuaM+lbyV5WpJT2+9sZZLDRvpfm+SMJF9t+7ks\nyU4j21/eLsmtaX33G9n2jiSr2n5uSXJoa98iySmt5vuSXLJuzPzsDOQJrZYHkrw+ya8l+Wbbz4dG\n9rFXkmvaOPcm+XiSHUe2T/Vs8YuABcBfVNWjVfVBIMAhUxhDml1V5c3bZn8Dbgd+sy0vBu4DXsrw\nh8iL2/oi4InAD4Cnt767Ab/Sll8HfHGS+3s3cMHI+uPuCxRwFbATsE3b70rgBIYXnmcD9wL7r2e8\n3wFWAE8FtgX+Fjh/ZPvHgXOBnYHvAS+boN6dgAeA17T9v6qt7zz2+I2tB1jSHs+C8R7vJMa+DvhL\nYGvgAGA1cMjoftoxurI9pi0neCzPBQ5q+1oC3Ay8acyx37stnwu8Z4LxDgTWtufJFu35s+8ka/8R\n8Futlo8B3wXeCSwEfhf47sh+rgVWAc9oz4dPjRzjpwE/bDUsBN7efv9PAJ7O8Nx58sjvY6+2/Ebg\ny8DuwFbAXwEXjvm9fbjVf1ir9/8C/6k9znuA32j9927734rh38p1DAFpvH9j72bk+bqe4/r7wOfG\ntF0BvGW2/7/w5m2yN89kST/v1cBnq+qzVfXTqroKWM4QugB+CjwjyTZVdVdV3dSpjjOq6v6qegR4\nGXB7Vf1NVT1WVd9geJFd3/yr44D3VdVtVfUQcCrwyvzs0uPJDGcErgU+U1VXTFDLEcCtVXV+2/+F\nwLeBI6f1CCcYO8kewAuAd1TVj6rqBuAjwGtH7r898HfAd4ATquonG9pZVV1fVV9u+7qdIVj8xjTq\nPxH4aFVd1Z4vq6rq25Os/QtV9fc1XOa9lCGcnFlVPwYuApaMng1iCMr/WlU/BP4QOCbJlsCxwJWt\nhh8D/5MheB4M/IQh+OyfZGFV3V5V32njvR54Z1XdWVWPMoSfV+Txl6j/uNX/eYYgd2FV3VNVq4Av\nMAR+qmpF2/+jVbUaeN80j+u2DOF11Fpgu2mMKf1CGbKkn7cncHS7HLImw6W/Xwd2ay9uxzK8ON2V\n5Mok+3aqY+WYmp43pqbjgP+8nvs+GbhjZP0OhrMluwJU1RqGF/VnAP9rErWMHW/dmIsncd/pjP1k\n4P6qenAD+z0IeCZDOJnwG+/bJbkr2iXSHwB/Cuwyjfr3YAh4Y02m9u+PLD8C3DsSEh9pP7cd6TP6\nnLiD4azVLow5hlX109Z3cVWtAN7EEKDuSXJRkie3rnsCnx55Tt3MEMp23UCNY9e3BUiyaxt7VTuu\nFzC94/oQQ4AetT3w4Dh9pTnJkCUNRl+cVzKcMdhx5PbEqjoToJ15eDHDpcJvA389zhg9avqnMTVt\nW1X/dT33/R7DC+g6vww8RnuBzPAurd8BLgQ+OIlaxo63bsxVbfmHwC+NbBsNfxMdlw2N/T1gpyTb\njbNtnc8DZwBXJxkNB+tzFsPvbZ+q2h44jWGuz8ZaCew1Tvtkap+qPcaM9WOGy8aPO4ZJ0vquAqiq\nT1TVr7c+Bbx3pPbDxzyvtm5nqabqT9vYv9qO66uZ3nG9CXhmeyzrPLO1S/OCIUsafJ9h/hIMf4Ef\nmeS3kmyZZOskL0qye/trfVmSJwKPMvy1/dORMXbf0KTrabgCeFqS17QJ3gvbBOT91tP/QuD3kzwl\nybYML4AXV9VjSbZuj/E0hjlei5P8twn2/9m2/99OsiDJscD+rS6AGxguRy5MspThIyXWWc1wjJ7K\n+NY7dlWtBL4EnNF+D89kuDz3uM9Yqqo/Az7BELQmOnuyHcO8uofaWcj1BdXJOgc4IcmhbSL54iT7\nTrb2KXp1kv2T/BLwP4BPtjNflwBHtBoWAm9heH5+KcnTkxySZCuGOVWP8LPn7IeBP0myJ0CSRUmW\nbWRt2zH8e1ibZDHwto19kM21DGfVfi/JVkne0Nqvmea40i+MIUsanAH8QbtkciywjCGErGb4a/9t\nDP9etgDezHDm4H6GOSfrXqSvYfgr++4k985kce2S02HAK9u+72Y4G7HVeu7yUeB8hsnH32V4cf3v\nbdsZwMqqOqvNw3k18J4k+2xg//cxzAt7C8ObAN7OMFl+3eP8Q4azOQ8ApzMEnnX3fRj4E+Cf22Wp\ng6Y49qsYJmF/D/g08K6q+odxavxjhknZ/zD6rrtxvBX4bYbLTn8NXLyBvhOqqq8yhNX3M8wZ+id+\ndlZpUrVPwfkMk/HvZpiM/nuthlsYfo//m+HM1pHAkVX1HwzPkTNb+90Mk9ZPbeN9ALgc+HySBxkm\nwT9vI2s7HXgOwzG4kuHNFhut1X4Uwxy2NQxnXo9q7dK8kElMYZAkzbIk1zK8I+8js12LpMnxTJYk\nSVIHhiypkwwfDPnQOLfjZru28SR54XrqfWi2a5uqJJ9bz2M5bSPHO209431upmvfnGT4IN/xjquT\n27VJ8HKhJElSB57JkiRJ6sCQJUmS1MGCibv0t8suu9SSJUtmuwxJkqQJXX/99fdW1aKJ+s2JkLVk\nyRKWL18+22VIkiRNKMnYrwIbl5cLJUmSOjBkSZIkdWDIkiRJ6sCQJUmS1IEhS5IkqQNDliRJUgeG\nLEmSpA4MWZIkSR0YsiRJkjowZEmSJHVgyJIkSerAkCVJktSBIUuSJKkDQ5YkSVIHhixJkqQODFmS\nJEkdGLIkSZI6MGRJkiR1YMiSJEnqwJAlSZLUgSFLkiSpA0OWJElSB4YsSZKkDhbMdgGSBJBktkuY\ntKqa7RIkzQOeyZI0J1TVjN/2fMcVXcaVpMkwZEmSJHVgyJIkSerAkCVJktSBIUuSJKkDQ5YkSVIH\nhixJkqQODFmSJEkdTDpkJdkyyTeSXNHWn5LkK0lWJLk4yRNa+1ZtfUXbvqRP6ZIkSXPXVM5kvRG4\neWT9vcD7q2pv4AHgxNZ+IvBAa39/6ydJkrRZmVTISrI7cATwkbYe4BDgk63LecBRbXlZW6dtPzTz\n6fsyJEmSZsBkz2T9BfB24KdtfWdgTVU91tbvBBa35cXASoC2fW3rL0mStNmYMGQleRlwT1VdP5M7\nTnJSkuVJlq9evXomh5YkSZp1CybR5wXAy5O8FNga2B74ALBjkgXtbNXuwKrWfxWwB3BnkgXADsB9\nYwetqrOBswGWLl3qN65K88izTv88ax/58WyXMSlLTrlytkuY0A7bLOTGdx0222VImmEThqyqOhU4\nFSDJi4C3VtVxSS4FXgFcBBwPXNbucnlb/5e2/Zrya+ulTcraR37M7WceMdtlbDLmQxCUNHXT+Zys\ndwBvTrKCYc7VOa39HGDn1v5m4JTplShJkjT/TOZy4f9XVdcC17bl24ADx+nzI+DoGahNkiRp3vIT\n3yVJkjowZEmSJHVgyJIkSerAkCVJktSBIUuSJKkDQ5YkSVIHhixJkqQODFmSJEkdGLIkSZI6MGRJ\nkiR1YMiSJEnqYErfXShJANvtdwq/ep7f/T5TttsP4IjZLkPSDDNkSZqyB28+k9vPNBTMlCWnXDnb\nJUjqwMuFkiRJHRiyJEmSOjBkSZIkdWDIkiRJ6sCQJUmS1IEhS5IkqQNDliRJUgeGLEmSpA78MFJJ\nG8UP0Jw5O2yzcLZLkNSBIUvSlM2XT3tfcsqV86ZWSZseLxdKkiR1YMiSJEnqwJAlSZLUgSFLkiSp\nAye+S5oTkvQZ970zP2ZVzfygkjY5hixJc4LBRdKmxsuFkiRJHRiyJEmSOjBkSZIkdWDIkiRJ6sCQ\nJUmS1IEhS5IkqQNDliRJUgeGLEmSpA4MWZIkSR0YsiRJkjowZEmSJHVgyJIkSerAkCVJktSBIUuS\nJKkDQ5YkSVIHhixJkqQODFmSJEkdGLIkSZI6MGRJkiR1YMiSJEnqYMKQlWTrJF9NcmOSm5Kc3tqf\nkuQrSVYkuTjJE1r7Vm19Rdu+pO9DkCRJmnsmcybrUeCQqnoWcADwkiQHAe8F3l9VewMPACe2/icC\nD7T297d+kiRJm5UJQ1YNHmqrC9utgEOAT7b284Cj2vKytk7bfmiSzFjFkiRJ88Ck5mQl2TLJDcA9\nwFXAd4A1VfVY63InsLgtLwZWArTta4GdZ7JoSZKkuW5SIauqflJVBwC7AwcC+053x0lOSrI8yfLV\nq1dPdzhJkqQ5ZUrvLqyqNcA/As8HdkyyoG3aHVjVllcBewC07TsA940z1tlVtbSqli5atGgjy5ck\nSZqbJvPuwkVJdmzL2wAvBm5mCFuvaN2OBy5ry5e3ddr2a6qqZrJoSZKkuW7BxF3YDTgvyZYMoeyS\nqroiyb8BFyV5D/AN4JzW/xzg/CQrgPuBV3aoW5IkaU6bMGRV1TeBZ4/TfhvD/Kyx7T8Cjp6R6iRJ\nkuYpP/FdkiSpA0OWJElSB4YsSZKkDgxZkiRJHRiyJEmSOjBkSZIkdWDIkiRJ6sCQJUmS1IEhS5Ik\nqQNDliRJUgeGLEmSpA4MWZIkSR0YsiRJkjowZEmSJHVgyJIkSerAkCVJktSBIUuSJKkDQ5YkSVIH\nhixJkqQODFmSJEkdGLIkSZI6MGRJkiR1YMiSJEnqwJAlSZLUgSFLkiSpA0OWJElSB4YsSZKkDgxZ\nkiRJHRiyJEmSOjBkSZIkdWDIkiRJ6sCQJUmS1IEhS5IkqQNDliRJUgeGLEmSpA4MWZIkSR0YsiRJ\nkjowZEmSJHVgyJIkSerAkCVJktSBIUuSJKkDQ5YkSVIHhixJkqQODFmSJEkdGLIkSZI6MGRJkiR1\nYMiSJEnqwJAlSZLUgSFLkiSpA0OWJElSBxOGrCR7JPnHJP+W5KYkb2ztOyW5Ksmt7eeTWnuSfDDJ\niiTfTPKc3g9CkiRprpnMmazHgLdU1f7AQcDJSfYHTgGurqp9gKvbOsDhwD7tdhJw1oxXLUmSNMdN\nGLKq6q6q+npbfhC4GVgMLAPOa93OA45qy8uAj9Xgy8COSXab8colSZLmsCnNyUqyBHg28BVg16q6\nq226G9i1LS8GVo7c7c7WJkmStNmYdMhKsi3wKeBNVfWD0W1VVUBNZcdJTkqyPMny1atXT+WukiRJ\nc96kQlaShQwB6+NV9bet+fvrLgO2n/e09lXAHiN33721PU5VnV1VS6tq6aJFiza2fkmSpDlpMu8u\nDHAOcHNVvW9k0+XA8W35eOCykfbXtncZHgSsHbmsKEmStFlYMIk+LwBeA3wryQ2t7TTgTOCSJCcC\ndwDHtG2fBV4KrAAeBk6Y0YolSZLmgQlDVlV9Ech6Nh86Tv8CTp5mXZIkSfOan/guSZLUgSFLkiSp\nA0OWJElSB4YsSZKkDgxZkiRJHRiyJEmSOjBkSZIkdWDIkiRJ6sCQJUmS1IEhS5IkqQNDliRJUgeG\nLEmSpA4MWZIkSR0YsiRJkjowZEmSJHVgyJIkSerAkCVJktSBIUuSJKkDQ5YkSVIHhixJkqQODFmS\nJEkdGLIkSZI6MGRJkiR1YMiSJEnqwJAlSZLUgSFLkiSpA0OWJElSB4YsSZKkDgxZkiRJHRiyJEmS\nOjBkSZIkdWDIkiRJ6sCQJUmS1IEhS5IkqQNDliRJUgeGLEmSpA4MWZIkSR0YsiRJkjowZEmSJHVg\nyJIkSerAkCVJktSBIUuSJKkDQ5YkSVIHhixJkqQODFmSJEkdGLIkSZI6MGRJkiR1YMiSJEnqwJAl\nSZLUwYQhK8lHk9yT5F9H2nZKclWSW9vPJ7X2JPlgkhVJvpnkOT2LlyRJmqsmcybrXOAlY9pOAa6u\nqn2Aq9s6wOHAPu12EnDWzJQpSZI0v0wYsqrqOuD+Mc3LgPPa8nnAUSPtH6vBl4Edk+w2U8VKkiTN\nFxs7J2vXqrqrLd8N7NqWFwMrR/rd2dokSZI2K9Oe+F5VBdRU75fkpCTLkyxfvXr1dMuQJEmaUzY2\nZH1/3WXA9vOe1r4K2GOk3+6t7edU1dlVtbSqli5atGgjy5AkSZqbNjZkXQ4c35aPBy4baX9te5fh\nQcDakcuKkiRJm40FE3VIciHwImCXJHcC7wLOBC5JciJwB3BM6/5Z4KXACuBh4IQONUuSJM15E4as\nqnrVejYdOk7fAk6eblGSJEnznZ/4LkmS1IEhS5IkqQNDliRJUgeGLEmSpA4MWZIkSR0YsiRJkjow\nZEmSJHVgyJIkSerAkCVJktSBIUuSJKkDQ5YkSVIHhixJkqQODFmSJEkdGLIkSZI6MGRJkiR1YMiS\nJEnqwJAlSZLUgSFLkiSpA0OWJElSB4YsSZKkDgxZkiRJHRiyJEmSOjBkSZIkdWDIkiRJ6sCQJUmS\n1IEhS5IkqQNDliRJUgeGLEmSpA4MWZIkSR0YsiRJkjowZEmSJHVgyJIkSerAkCVJktSBIUuSJKkD\nQ5YkSVIHhixJkqQODFmSJEkdGLIkSZI6MGRJkiR1YMiSJEnqwJAlSZLUgSFLkiSpA0OWJElSB4Ys\nSZKkDgxZkiRJHRiyJEmSOjBkSZIkdWDIkiRJ6sCQJUmS1IEhS5IkqYMuISvJS5LckmRFklN67EOS\nJGkum/GQlWRL4P8AhwP7A69Ksv9M70eSJGku63Em60BgRVXdVlX/AVwELOuwH0mSpDmrR8haDKwc\nWb+ztUmSJG02FszWjpOcBJzUVh9Kcsts1SJpk7ULcO9sFyFpk7PnZDr1CFmrgD1G1ndvbY9TVWcD\nZ3fYvyQBkGR5VS2d7TokbZ56XC78GrBPkqckeQLwSuDyDvuRJEmas2b8TFZVPZbkDcDfA1sCH62q\nm2Z6P5IkSXNZqmq2a5CkLpKc1KYmSNIvnCFLkiSpA79WR5IkqQNDlqR5Icm7k7x1A9sXJflKkm8k\neeFGjP+6JB9qy0f5TRWSpsuQJWlTcSjwrap6dlV9YZpjHcXwtWCStNEMWZLmrCTvTPLvSb4IPL21\n7ZXk75Jcn+QLSfZNcgDwZ8CyJDck2SbJWUmWJ7kpyekjY96eZJe2vDTJtWP2eTDwcuDP21h7/aIe\nr6RNy6x94rskbUiS5zJ8zt4BDP9XfR24nuFDjF9fVbcmeR7wl1V1SJI/ApZW1Rva/d9ZVfe3L62/\nOskzq+qbE+23qr6U5HLgiqr6ZKeHJ2kzYMiSNFe9EPh0VT0M0ILP1sDBwKVJ1vXbaj33P6Z9fdcC\nYDeGy38ThixJmimGLEnzyRbAmqo6YEOdkjwFeCvwa1X1QJJzGQIawGP8bKrE1uPcXZJmhHOyJM1V\n1wFHtflV2wFHAg8D301yNEAGzxrnvtsDPwTWJtkVOHxk2+3Ac9vyf1nPvh8Etpv+Q5C0OTNkSZqT\nqurrwMXAjcDnGL4XFeA44MQkNwI3AcvGue+NwDeAbwOfAP55ZPPpwAeSLAd+sp7dXwS8rX0chBPf\nJW0UP/FdkiSpA89kSZIkdWDIkiRJ6sCQJUmS1IEhS5IkqQNDliRJUgeGLEmSpA4MWZIkSR0YsiRJ\nkjr4fxnlkdpNVILZAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x105a9ae10>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x105aa3290>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAE/CAYAAACeim2eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkiRJjRi0JEmSGjFoSZIkNfLfANjeUDnxUBwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x105af8c50>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmJIkSWpgmJIkSWpgmJIkSWrw/wFJgVq+A2BKjwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x105b66950>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhCkAgAHCFADAgH8DwhTL0n4rpn0AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x105c4efd0>"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Case list which Nightly peform better than ESR52"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"nightly_better_list"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 3,
"text": [
"[]"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment