Skip to content

Instantly share code, notes, and snippets.

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/0f749e50b60162a23d3bf1c33662478e to your computer and use it in GitHub Desktop.
Save anonymous/0f749e50b60162a23d3bf1c33662478e to your computer and use it in GitHub Desktop.
network.http.max-persistent-connections-per-server
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>1</th>\n",
" <td>10.0</td>\n",
" <td>445.555556</td>\n",
" <td>45.496800</td>\n",
" <td>411.111111</td>\n",
" <td>425.000000</td>\n",
" <td>433.333333</td>\n",
" <td>441.666667</td>\n",
" <td>566.666667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>417.777778</td>\n",
" <td>13.042087</td>\n",
" <td>400.000000</td>\n",
" <td>405.555556</td>\n",
" <td>422.222222</td>\n",
" <td>422.222222</td>\n",
" <td>433.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>431.111111</td>\n",
" <td>33.044012</td>\n",
" <td>400.000000</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",
"1 10.0 445.555556 45.496800 411.111111 425.000000 433.333333 \n",
"65536 10.0 417.777778 13.042087 400.000000 405.555556 422.222222 \n",
"default 10.0 431.111111 33.044012 400.000000 405.555556 422.222222 \n",
"\n",
" 75% max \n",
"1 441.666667 566.666667 \n",
"65536 422.222222 433.333333 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>10.555556</td>\n",
" <td>8.050765</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>18.055556</td>\n",
" <td>22.222222</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>6.111111</td>\n",
" <td>1.756821</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>11.111111</td>\n",
" </tr>\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",
"1 10.0 10.555556 8.050765 5.555556 5.555556 5.555556 18.055556 \n",
"65536 10.0 6.111111 1.756821 5.555556 5.555556 5.555556 5.555556 \n",
"default 10.0 7.222222 5.270463 5.555556 5.555556 5.555556 5.555556 \n",
"\n",
" max \n",
"1 22.222222 \n",
"65536 11.111111 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>12.777778</td>\n",
" <td>9.816562</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",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>13.888889</td>\n",
" <td>6.000686</td>\n",
" <td>5.555556</td>\n",
" <td>11.111111</td>\n",
" <td>11.111111</td>\n",
" <td>19.444444</td>\n",
" <td>22.222222</td>\n",
" </tr>\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% \\\n",
"1 10.0 12.777778 9.816562 5.555556 5.555556 8.333333 \n",
"65536 10.0 13.888889 6.000686 5.555556 11.111111 11.111111 \n",
"default 10.0 12.777778 6.953698 5.555556 6.944444 11.111111 \n",
"\n",
" 75% max \n",
"1 19.444444 33.333333 \n",
"65536 19.444444 22.222222 \n",
"default 19.444444 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>1</th>\n",
" <td>10.0</td>\n",
" <td>47.777778</td>\n",
" <td>14.861039</td>\n",
" <td>22.222222</td>\n",
" <td>36.111111</td>\n",
" <td>50.000000</td>\n",
" <td>55.555556</td>\n",
" <td>66.666667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>58.888889</td>\n",
" <td>14.861039</td>\n",
" <td>22.222222</td>\n",
" <td>58.333333</td>\n",
" <td>66.666667</td>\n",
" <td>66.666667</td>\n",
" <td>66.666667</td>\n",
" </tr>\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>50.000000</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% \\\n",
"1 10.0 47.777778 14.861039 22.222222 36.111111 50.000000 \n",
"65536 10.0 58.888889 14.861039 22.222222 58.333333 66.666667 \n",
"default 10.0 64.444444 16.396995 44.444444 50.000000 66.666667 \n",
"\n",
" 75% max \n",
"1 55.555556 66.666667 \n",
"65536 66.666667 66.666667 \n",
"default 66.666667 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>1</th>\n",
" <td>10.0</td>\n",
" <td>152.222222</td>\n",
" <td>12.883353</td>\n",
" <td>133.333333</td>\n",
" <td>144.444444</td>\n",
" <td>155.555556</td>\n",
" <td>163.888889</td>\n",
" <td>166.666667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>164.444444</td>\n",
" <td>44.996571</td>\n",
" <td>133.333333</td>\n",
" <td>144.444444</td>\n",
" <td>150.000000</td>\n",
" <td>163.888889</td>\n",
" <td>288.888889</td>\n",
" </tr>\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",
"1 10.0 152.222222 12.883353 133.333333 144.444444 155.555556 \n",
"65536 10.0 164.444444 44.996571 133.333333 144.444444 150.000000 \n",
"default 10.0 177.777778 59.027324 111.111111 133.333333 144.444444 \n",
"\n",
" 75% max \n",
"1 163.888889 166.666667 \n",
"65536 163.888889 288.888889 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>74.444444</td>\n",
" <td>14.861039</td>\n",
" <td>44.444444</td>\n",
" <td>66.666667</td>\n",
" <td>72.222222</td>\n",
" <td>88.888889</td>\n",
" <td>88.888889</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>71.111111</td>\n",
" <td>18.294947</td>\n",
" <td>44.444444</td>\n",
" <td>66.666667</td>\n",
" <td>66.666667</td>\n",
" <td>86.111111</td>\n",
" <td>100.000000</td>\n",
" </tr>\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",
"1 10.0 74.444444 14.861039 44.444444 66.666667 72.222222 \n",
"65536 10.0 71.111111 18.294947 44.444444 66.666667 66.666667 \n",
"default 10.0 85.555556 12.883353 66.666667 77.777778 83.333333 \n",
"\n",
" 75% max \n",
"1 88.888889 88.888889 \n",
"65536 86.111111 100.000000 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>83.333333</td>\n",
" <td>10.798059</td>\n",
" <td>66.666667</td>\n",
" <td>77.777778</td>\n",
" <td>77.777778</td>\n",
" <td>88.888889</td>\n",
" <td>100.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>95.555556</td>\n",
" <td>11.944086</td>\n",
" <td>77.777778</td>\n",
" <td>88.888889</td>\n",
" <td>94.444444</td>\n",
" <td>100.000000</td>\n",
" <td>122.222222</td>\n",
" </tr>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>90.000000</td>\n",
" <td>9.728834</td>\n",
" <td>77.777778</td>\n",
" <td>80.555556</td>\n",
" <td>88.888889</td>\n",
" <td>100.000000</td>\n",
" <td>100.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"1 10.0 83.333333 10.798059 66.666667 77.777778 77.777778 \n",
"65536 10.0 95.555556 11.944086 77.777778 88.888889 94.444444 \n",
"default 10.0 90.000000 9.728834 77.777778 80.555556 88.888889 \n",
"\n",
" 75% max \n",
"1 88.888889 100.000000 \n",
"65536 100.000000 122.222222 \n",
"default 100.000000 100.000000 "
]
},
{
"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>1</th>\n",
" <td>10.0</td>\n",
" <td>40.000000</td>\n",
" <td>9.369712</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>44.444444</td>\n",
" <td>55.555556</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>45.555556</td>\n",
" <td>11.049210</td>\n",
" <td>33.333333</td>\n",
" <td>36.111111</td>\n",
" <td>44.444444</td>\n",
" <td>52.777778</td>\n",
" <td>66.666667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>50.000000</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% \\\n",
"1 10.0 40.000000 9.369712 33.333333 33.333333 33.333333 \n",
"65536 10.0 45.555556 11.049210 33.333333 36.111111 44.444444 \n",
"default 10.0 50.000000 7.856742 33.333333 44.444444 55.555556 \n",
"\n",
" 75% max \n",
"1 44.444444 55.555556 \n",
"65536 52.777778 66.666667 \n",
"default 55.555556 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>1</th>\n",
" <td>10.0</td>\n",
" <td>33.333333</td>\n",
" <td>14.814815</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",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>28.888889</td>\n",
" <td>9.369712</td>\n",
" <td>11.111111</td>\n",
" <td>22.222222</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>44.444444</td>\n",
" </tr>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>32.222222</td>\n",
" <td>11.049210</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",
"1 10.0 33.333333 14.814815 11.111111 33.333333 33.333333 \n",
"65536 10.0 28.888889 9.369712 11.111111 22.222222 33.333333 \n",
"default 10.0 32.222222 11.049210 11.111111 33.333333 33.333333 \n",
"\n",
" 75% max \n",
"1 33.333333 55.555556 \n",
"65536 33.333333 44.444444 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>37.777778</td>\n",
" <td>14.054567</td>\n",
" <td>11.111111</td>\n",
" <td>33.333333</td>\n",
" <td>38.888889</td>\n",
" <td>44.444444</td>\n",
" <td>55.555556</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>50.000000</td>\n",
" <td>14.103284</td>\n",
" <td>22.222222</td>\n",
" <td>44.444444</td>\n",
" <td>55.555556</td>\n",
" <td>55.555556</td>\n",
" <td>66.666667</td>\n",
" </tr>\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",
"1 10.0 37.777778 14.054567 11.111111 33.333333 38.888889 \n",
"65536 10.0 50.000000 14.103284 22.222222 44.444444 55.555556 \n",
"default 10.0 27.777778 7.856742 22.222222 22.222222 22.222222 \n",
"\n",
" 75% max \n",
"1 44.444444 55.555556 \n",
"65536 55.555556 66.666667 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>19.444444</td>\n",
" <td>10.877167</td>\n",
" <td>5.555556</td>\n",
" <td>11.111111</td>\n",
" <td>16.666667</td>\n",
" <td>30.555556</td>\n",
" <td>33.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>16.111111</td>\n",
" <td>8.050765</td>\n",
" <td>5.555556</td>\n",
" <td>6.944444</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" </tr>\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",
"1 10.0 19.444444 10.877167 5.555556 11.111111 16.666667 \n",
"65536 10.0 16.111111 8.050765 5.555556 6.944444 22.222222 \n",
"default 9.0 18.518519 10.758287 5.555556 11.111111 22.222222 \n",
"\n",
" 75% max \n",
"1 30.555556 33.333333 \n",
"65536 22.222222 22.222222 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>41.111111</td>\n",
" <td>9.147473</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>38.888889</td>\n",
" <td>44.444444</td>\n",
" <td>55.555556</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>36.666667</td>\n",
" <td>10.540926</td>\n",
" <td>22.222222</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>55.555556</td>\n",
" </tr>\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",
"1 10.0 41.111111 9.147473 33.333333 33.333333 38.888889 \n",
"65536 10.0 36.666667 10.540926 22.222222 33.333333 33.333333 \n",
"default 10.0 44.444444 7.407407 33.333333 44.444444 44.444444 \n",
"\n",
" 75% max \n",
"1 44.444444 55.555556 \n",
"65536 33.333333 55.555556 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>68.888889</td>\n",
" <td>16.396995</td>\n",
" <td>44.444444</td>\n",
" <td>66.666667</td>\n",
" <td>66.666667</td>\n",
" <td>83.333333</td>\n",
" <td>88.888889</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>67.777778</td>\n",
" <td>11.049210</td>\n",
" <td>44.444444</td>\n",
" <td>66.666667</td>\n",
" <td>66.666667</td>\n",
" <td>66.666667</td>\n",
" <td>88.888889</td>\n",
" </tr>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>60.000000</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% \\\n",
"1 10.0 68.888889 16.396995 44.444444 66.666667 66.666667 \n",
"65536 10.0 67.777778 11.049210 44.444444 66.666667 66.666667 \n",
"default 10.0 60.000000 9.369712 44.444444 55.555556 66.666667 \n",
"\n",
" 75% max \n",
"1 83.333333 88.888889 \n",
"65536 66.666667 88.888889 \n",
"default 66.666667 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>1</th>\n",
" <td>10.0</td>\n",
" <td>206.666667</td>\n",
" <td>15.887119</td>\n",
" <td>177.777778</td>\n",
" <td>200.000000</td>\n",
" <td>200.000000</td>\n",
" <td>219.444444</td>\n",
" <td>233.333333</td>\n",
" </tr>\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>400.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"1 10.0 206.666667 15.887119 177.777778 200.000000 200.000000 \n",
"default 10.0 208.888889 67.647111 177.777778 180.555556 188.888889 \n",
"\n",
" 75% max \n",
"1 219.444444 233.333333 \n",
"default 197.222222 400.000000 "
]
},
{
"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>1</th>\n",
" <td>10.0</td>\n",
" <td>250.000000</td>\n",
" <td>13.094570</td>\n",
" <td>233.333333</td>\n",
" <td>236.111111</td>\n",
" <td>255.555556</td>\n",
" <td>255.555556</td>\n",
" <td>266.666667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>230.000000</td>\n",
" <td>11.770555</td>\n",
" <td>211.111111</td>\n",
" <td>222.222222</td>\n",
" <td>233.333333</td>\n",
" <td>233.333333</td>\n",
" <td>255.555556</td>\n",
" </tr>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>237.777778</td>\n",
" <td>22.951012</td>\n",
" <td>200.000000</td>\n",
" <td>225.000000</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% \\\n",
"1 10.0 250.000000 13.094570 233.333333 236.111111 255.555556 \n",
"65536 10.0 230.000000 11.770555 211.111111 222.222222 233.333333 \n",
"default 10.0 237.777778 22.951012 200.000000 225.000000 233.333333 \n",
"\n",
" 75% max \n",
"1 255.555556 266.666667 \n",
"65536 233.333333 255.555556 \n",
"default 255.555556 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>1</th>\n",
" <td>10.0</td>\n",
" <td>13.888889</td>\n",
" <td>6.000686</td>\n",
" <td>5.555556</td>\n",
" <td>11.111111</td>\n",
" <td>11.111111</td>\n",
" <td>19.444444</td>\n",
" <td>22.222222</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>20.000000</td>\n",
" <td>7.027284</td>\n",
" <td>11.111111</td>\n",
" <td>13.888889</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" <td>33.333333</td>\n",
" </tr>\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",
"1 10.0 13.888889 6.000686 5.555556 11.111111 11.111111 \n",
"65536 10.0 20.000000 7.027284 11.111111 13.888889 22.222222 \n",
"default 10.0 14.444444 7.027284 5.555556 11.111111 11.111111 \n",
"\n",
" 75% max \n",
"1 19.444444 22.222222 \n",
"65536 22.222222 33.333333 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>104.444444</td>\n",
" <td>72.992098</td>\n",
" <td>66.666667</td>\n",
" <td>77.777778</td>\n",
" <td>83.333333</td>\n",
" <td>88.888889</td>\n",
" <td>311.111111</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>96.666667</td>\n",
" <td>26.215316</td>\n",
" <td>77.777778</td>\n",
" <td>80.555556</td>\n",
" <td>88.888889</td>\n",
" <td>100.000000</td>\n",
" <td>166.666667</td>\n",
" </tr>\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",
"1 10.0 104.444444 72.992098 66.666667 77.777778 83.333333 \n",
"65536 10.0 96.666667 26.215316 77.777778 80.555556 88.888889 \n",
"default 10.0 65.555556 8.198498 44.444444 66.666667 66.666667 \n",
"\n",
" 75% max \n",
"1 88.888889 311.111111 \n",
"65536 100.000000 166.666667 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>23.888889</td>\n",
" <td>9.816562</td>\n",
" <td>5.555556</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>18.333333</td>\n",
" <td>8.302412</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",
" <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",
"1 10.0 23.888889 9.816562 5.555556 22.222222 22.222222 \n",
"65536 10.0 18.333333 8.302412 5.555556 11.111111 22.222222 \n",
"default 10.0 22.222222 7.407407 11.111111 22.222222 22.222222 \n",
"\n",
" 75% max \n",
"1 33.333333 33.333333 \n",
"65536 22.222222 33.333333 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>8.333333</td>\n",
" <td>5.399030</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",
" <tr>\n",
" <th>65536</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",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>8.333333</td>\n",
" <td>5.399030</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",
"1 10.0 8.333333 5.399030 5.555556 5.555556 5.555556 9.722222 \n",
"65536 10.0 7.222222 5.270463 5.555556 5.555556 5.555556 5.555556 \n",
"default 10.0 8.333333 5.399030 5.555556 5.555556 5.555556 9.722222 \n",
"\n",
" max \n",
"1 22.222222 \n",
"65536 22.222222 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>564.444444</td>\n",
" <td>313.911558</td>\n",
" <td>233.333333</td>\n",
" <td>263.888889</td>\n",
" <td>505.555556</td>\n",
" <td>886.111111</td>\n",
" <td>955.555556</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>817.777778</td>\n",
" <td>323.144699</td>\n",
" <td>266.666667</td>\n",
" <td>677.777778</td>\n",
" <td>977.777778</td>\n",
" <td>1033.333333</td>\n",
" <td>1144.444444</td>\n",
" </tr>\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",
"1 10.0 564.444444 313.911558 233.333333 263.888889 505.555556 \n",
"65536 10.0 817.777778 323.144699 266.666667 677.777778 977.777778 \n",
"default 10.0 908.888889 380.592275 222.222222 977.777778 994.444444 \n",
"\n",
" 75% max \n",
"1 886.111111 955.555556 \n",
"65536 1033.333333 1144.444444 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>48.888889</td>\n",
" <td>23.541109</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>44.444444</td>\n",
" <td>52.777778</td>\n",
" <td>111.111111</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>43.333333</td>\n",
" <td>14.296488</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>52.777778</td>\n",
" <td>66.666667</td>\n",
" </tr>\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",
"1 10.0 48.888889 23.541109 33.333333 33.333333 44.444444 \n",
"65536 10.0 43.333333 14.296488 33.333333 33.333333 33.333333 \n",
"default 10.0 44.444444 16.563466 33.333333 33.333333 33.333333 \n",
"\n",
" 75% max \n",
"1 52.777778 111.111111 \n",
"65536 52.777778 66.666667 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>391.111111</td>\n",
" <td>23.306863</td>\n",
" <td>366.666667</td>\n",
" <td>369.444444</td>\n",
" <td>388.888889</td>\n",
" <td>400.000000</td>\n",
" <td>433.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>395.555556</td>\n",
" <td>18.294947</td>\n",
" <td>366.666667</td>\n",
" <td>380.555556</td>\n",
" <td>400.000000</td>\n",
" <td>400.000000</td>\n",
" <td>422.222222</td>\n",
" </tr>\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",
"1 10.0 391.111111 23.306863 366.666667 369.444444 388.888889 \n",
"65536 10.0 395.555556 18.294947 366.666667 380.555556 400.000000 \n",
"default 10.0 375.555556 26.604867 344.444444 355.555556 372.222222 \n",
"\n",
" 75% max \n",
"1 400.000000 433.333333 \n",
"65536 400.000000 422.222222 \n",
"default 397.222222 422.222222 "
]
},
{
"output_type": "display_data",
"text": [
"u'test_firefox_outlook_ail_type_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>1</th>\n",
" <td>10.0</td>\n",
" <td>12.777778</td>\n",
" <td>19.074973</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>9.722222</td>\n",
" <td>66.666667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>15.555556</td>\n",
" <td>10.075163</td>\n",
" <td>5.555556</td>\n",
" <td>5.555556</td>\n",
" <td>16.666667</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% 75% \\\n",
"1 10.0 12.777778 19.074973 5.555556 5.555556 5.555556 9.722222 \n",
"65536 10.0 15.555556 10.075163 5.555556 5.555556 16.666667 22.222222 \n",
"\n",
" max \n",
"1 66.666667 \n",
"65536 33.333333 "
]
},
{
"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>1</th>\n",
" <td>10.0</td>\n",
" <td>313.333333</td>\n",
" <td>29.536892</td>\n",
" <td>266.666667</td>\n",
" <td>311.111111</td>\n",
" <td>316.666667</td>\n",
" <td>322.222222</td>\n",
" <td>366.666667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>293.333333</td>\n",
" <td>33.620165</td>\n",
" <td>233.333333</td>\n",
" <td>277.777778</td>\n",
" <td>283.333333</td>\n",
" <td>316.666667</td>\n",
" <td>355.555556</td>\n",
" </tr>\n",
" <tr>\n",
" <th>default</th>\n",
" <td>10.0</td>\n",
" <td>290.000000</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",
"1 10.0 313.333333 29.536892 266.666667 311.111111 316.666667 \n",
"65536 10.0 293.333333 33.620165 233.333333 277.777778 283.333333 \n",
"default 10.0 290.000000 15.225781 266.666667 280.555556 288.888889 \n",
"\n",
" 75% max \n",
"1 322.222222 366.666667 \n",
"65536 316.666667 355.555556 \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>1</th>\n",
" <td>10.0</td>\n",
" <td>17.222222</td>\n",
" <td>12.129276</td>\n",
" <td>5.555556</td>\n",
" <td>6.944444</td>\n",
" <td>11.111111</td>\n",
" <td>30.555556</td>\n",
" <td>33.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>16.111111</td>\n",
" <td>12.129276</td>\n",
" <td>5.555556</td>\n",
" <td>6.944444</td>\n",
" <td>11.111111</td>\n",
" <td>27.777778</td>\n",
" <td>33.333333</td>\n",
" </tr>\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>200.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"output_type": "display_data",
"text": [
" count mean std min 25% 50% \\\n",
"1 10.0 17.222222 12.129276 5.555556 6.944444 11.111111 \n",
"65536 10.0 16.111111 12.129276 5.555556 6.944444 11.111111 \n",
"default 10.0 37.222222 62.638051 5.555556 5.555556 8.333333 \n",
"\n",
" 75% max \n",
"1 30.555556 33.333333 \n",
"65536 27.777778 33.333333 \n",
"default 22.222222 200.000000 "
]
},
{
"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>1</th>\n",
" <td>10.0</td>\n",
" <td>23.333333</td>\n",
" <td>11.049210</td>\n",
" <td>11.111111</td>\n",
" <td>11.111111</td>\n",
" <td>27.777778</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>30.000000</td>\n",
" <td>9.147473</td>\n",
" <td>11.111111</td>\n",
" <td>25.000000</td>\n",
" <td>33.333333</td>\n",
" <td>33.333333</td>\n",
" <td>44.444444</td>\n",
" </tr>\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% \\\n",
"1 10.0 23.333333 11.049210 11.111111 11.111111 27.777778 \n",
"65536 10.0 30.000000 9.147473 11.111111 25.000000 33.333333 \n",
"default 10.0 13.888889 11.490439 5.555556 5.555556 8.333333 \n",
"\n",
" 75% max \n",
"1 33.333333 33.333333 \n",
"65536 33.333333 44.444444 \n",
"default 19.444444 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>1</th>\n",
" <td>10.0</td>\n",
" <td>17.777778</td>\n",
" <td>5.737753</td>\n",
" <td>11.111111</td>\n",
" <td>11.111111</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" <td>22.222222</td>\n",
" </tr>\n",
" <tr>\n",
" <th>65536</th>\n",
" <td>10.0</td>\n",
" <td>24.444444</td>\n",
" <td>20.819955</td>\n",
" <td>11.111111</td>\n",
" <td>11.111111</td>\n",
" <td>11.111111</td>\n",
" <td>30.555556</td>\n",
" <td>66.666667</td>\n",
" </tr>\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% \\\n",
"1 10.0 17.777778 5.737753 11.111111 11.111111 22.222222 \n",
"65536 10.0 24.444444 20.819955 11.111111 11.111111 11.111111 \n",
"default 10.0 10.555556 6.651217 5.555556 5.555556 8.333333 \n",
"\n",
" 75% max \n",
"1 22.222222 22.222222 \n",
"65536 30.555556 66.666667 \n",
"default 11.111111 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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\npAYYsiRJkhpgyJIkSWqAIUuSJKkB/x8wUmicjWe5OwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10e5ae6d0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njL/E9ccXOzMAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x112270110>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x1125622d0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nlWCYkiRJKsEwJUmSVML/B8/rGK/rJZzAAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1126a1390>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSZJUwf8HF55di3QdvWwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x11277afd0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x11280d890>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nNTBkSZIk1eD/A0/q4FLV1g+kAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x112902f50>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njM0AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x112996ed0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x112a39b90>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x112a7e250>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAIABJREFUeJzt3XmYXGWZ9/HvHRL2sEmIEJYgyiKC\nQSOKimyCCCp4KaIvMqhocEF0kCXjKKDDyOKCjoxAHJC4gQwCIosYUUAEwQBhRyIQSCCQhiSQsASS\n3O8fzymrkkmnO316TX8/11VXzn3W51RXp379nKdORWYiSZKkrhnS1w2QJEkayAxTkiRJNRimJEmS\najBMSZIk1WCYkiRJqsEwJUmSVINhSmoREWtExG8j4tmI+N+IOCQift9d++vOtrYc4x0RMTUi5kfE\ngT10jE9ExI09sN/dI2JGN+/z6og4rJrukXZLUivDlPq1iJgWEe+uuY8VeUP9MDASeFVmHpSZv8jM\nfWocfon91djP8nwTODMz187My3roGANGZr43MyeuyDYRkRHx2p5qk/6viPhIRNwUES9ExHWd3GZ0\n9bMa2sn1uz2sS8vSqRekNIhsATyYmQs7WjEihnZivU7vr4YtgHt7cP9ST5gNfB/YFtizj9si1WLP\nlPqtiPgZsDnw2+oS1nER8bbqr9m5EXFnROzesv4nIuLhiJgXEY9Ul+i2A84Gdqn2MXc5x/sGcAJw\ncLXu4Uv3alV/FX8hIqYCU6t520bEpIiYHRF/j4iPLGd/QyLiaxHxaETMioifRsS61foHV+1ep6rf\nGxFPRsSI5bT5IeA1Lc/RahHxyYi4v3oeHo6II5ba5oCImBIRz0XEQxGxbzV/3Yg4NyJmRsTjEXFy\nRKyy5KZxZnXJ8oGI2KtlwSYRcXn1HPwjIj7Tsmy1iPh+RDxRPb4fEau1cz5HRcR9EbHpcs55/Yi4\nIiLaImJONb1py/LrIuLT7W2/jP3dUE3eWT2HB0fEPRHx/pZ1hkXE0xGxU0vvyLjqfGZGxDEt6w6J\niPHVc/tMRFwUERt00IbGPj8ZEdOr8/psRLwlIu6qXu9nLrXNp6qf85yIuCYitqjmR0ScUb2+nouI\nuyPiDdWy/arnd171Mz6mk8/plhFxQ7XdHyLivyPi5y3L2/29bE9m/iEzLwKe6GjdFo2f1dzqZ7VL\nRJwVEb9uactpEXFtRKwFXA1sUq07PyI2WYFjSZ2XmT589NsHMA14dzU9CngG2I/yh8DeVT0CWAt4\nDtimWndjYPtq+hPAjZ083knAz1vqJbYFEpgEbACsUR13OvBJSk/vTsDTwOvb2d+ngH9QAtDawCXA\nz1qW/wI4H3gV5U3mfSvyHFX1/sBWQAC7AS8Ab6qW7Qw8Wz13Q6rndNtq2aXAOdU5bQTcChzR8jws\nBP4VGAYcXO1ng2r5DcCPgNWBMUAbsGe17JvAX6t9jgBuAv6jWrY7MKOaPgG4HRjRwfm+CvgQsCYw\nHPhf4LKW5dcBn16Rn331c31tS30c8KuW+gDg7mp6dLX+BdVztUN1vo3X6Zeq890UWK16Ti/o4PiN\nfZ5dPYf7AC8Bl1XP2yhgFrBbS3v+AWxHed19DbipWvYe4DZgveo1sB2wcbVsJrBrNb1+y+uio+f0\nZuA7wKrAOym/az/v6Peyk79znwau6+S6jedpaMu8NYEHq5/1rpTfv02Xfn358NGTjz5vgA8fy3uw\nZJg6npbgUc27BjiselObW70hrLHUOp16Q63WPYmOw9SeLfXBwJ+X2sc5wInt7O9a4PMt9TbAK403\nh+oN8DHgbuCcFX2O2ll+GfCllradsYx1RgILWp874GPAn1qehyeAaFl+K3AosBmwCBjesuwU4Pxq\n+iFgv5Zl7wGmVdO7A48D3wNuBNbtwmtkDDCnpb6O+mFqE2AesE5VXwwcV02PrtbftmX904Fzq+n7\ngb1alm3c+jNu5/iNfY5qmfcMcHBL/Wvgy9X01cDhLcuGUELzFpRLZg8CbwOGLHWcx4AjGufVmeeU\n0ju8EFizZfnPaYapdn8vO/nzqxWmqvlvpVw2fBT4WMv83TFM+eiFh5f5NJBsARxUXUqYG+WS3Tsp\nf3U/Twk2nwVmRsSVEbFtD7Vj+lJteutSbToEeHU7225C+Q+/4VFKz8JIgMycS+kVeAPw3a40Lsrl\nwb9Wl9zmUnoMNqwWb0YJN0vbgtLjNLPlPM6h9Io0PJ6Zrd+M/mh1PpsAszNz3lLLRlXTyzrn1sst\n6wHjgFMy89lOnN+aEXFOlEulz1F6xdZb6pJkLZn5BPAX4EMRsR7wXkqvYavW10HrOW0BXNryPN5P\nCZsjO3Hop1qmX1xGvXbLMX7QcozZlF6oUZn5R+BM4L+BWRExIapLx5Q/NvYDHo2I6yNiF+jwOW38\nfF9o59zb/b3sxPl2i8y8BXiY8hxc1FvHlRoMU+rvWt+8p1P+Al6v5bFWZp4KkJnXZObelP/EHwB+\nvIx99ESbrl+qTWtn5ufa2fYJyptPQ+Ov/qcAImIM5VLgBcB/rWjDooxF+jXlkszIzFwPuIryJtNo\n71bL2HQ6pWdqw5bzWCczt29ZZ1REREu9eXU+TwAbRMTwpZY9Xk0v65xbx8nMAd4H/CQi3tGJ0/wK\npUfvrZm5DvCuan60v0mXTAQ+DhwE3JyZjy+1fLOW6dZzmg68d6nXxOrL2L6O6ZRLsK3HWCMzbwLI\nzP/KzDcDrwe2Bo6t5v8tMw+ghOTLaAaP5T2nMyk/3zXbOffl/l52s2X+LkfEFyiXVJ+gXKJd7vpS\ndzNMqb97ijK+CMqlhfdHxHsiYpWIWD3KR583jYiRUQZWr0UJBfOBxS372DQiVu2B9l0BbB0Rh0YZ\npDysGjS8XTvrXwD8azWgd23gW5SxOQsjYvXqHL9KGYM1KiI+v4LtWZXyptIGLIyI91LG3zScC3wy\nIvaKMlB6VERsm5kzgd8D342IdaplW0XEbi3bbgQcVZ3jQZSxOFdl5nTKOKhTqp/JjsDh1bk0zvlr\nETEiIjakjI36ect+yczrKD16l0TEzh2c43BKL83cKAO7T1yhZ2jZWl9nDZcBb6KMgfrpMrb5etWj\nsz3l5/Wrav7ZwH9Gc0D4iIg4oBva2Ops4N+qYzc+PHBQNf2WiHhrRAwDnqeMvVocEatG+VDGupn5\nCmXcU+N3pN3nNDMfBSYDJ1X72AX45+B8lvN7ubwTaKxL6ZkdUm03rIPzbqva/M+fVURsDZxMCb6H\nAsdVf5RA+bm+KqoPeUg9xTCl/u4UyhvxXMplvAMoYaON8hfxsZTX8RDgaMpfprMpA68bvUN/pNw6\n4MmIeLo7G1dd2toH+Gh17CeB0yiBZlnOA35GuYzyCOWN7ovVslOA6Zl5VmYuoLw5nBwRr1vB9hxF\n6XGYA/w/4PKW5bdS3vjPoAwgv55mr9G/UMLYfdW2F7PkpZpbgNdRBvj+J/DhzHymWvYxyniWJygD\n2U/MzD9Uy06mvBnfRRkLdns1b+m2T6L0yv02It60nNP8PmXw/9OUgd6/W866nXUSMLG6TPWRqj0v\nUnr5tqR8UGBp11MGgV8LfCczGzd3/QHlOf99RMyr2vjWbmjjP2XmpZTX2YXVZbl7KJciAdah9MrO\noVx+fAb4drXsUGBatc1nKQEWOn5ODwF2qfZ1MiU4LqjaMp32fy+X51BKgDuLMnD8RZq9ye2d9wuU\n195fqp/VOylh7rTMvDMzp1bt+FlErJaZD1DC/MPV+n6aTz0ilhwCIUlqiIgTgK0z8+Mt80ZTgvCw\n7Nn7h/VbEfEr4IHM7I5eQWnAs2dKkpahutx1ODChr9vS16pLh1tVl3/3pfREDfq77UsNhikNOhFx\nbzRv4tf6OKTjrXtfROzaTnvn93XbekpEfLWdc766i/tboecwyk1HpwNXZ+YNy1qnC204pJ02DIS7\n17+acsuJ+ZQPRnwuM+/oaKP2nvOI2HU52wzk50mDlJf5JEmSarBnSpIkqQbDlCRJUg1De/NgG264\nYY4ePbo3DylJktQlt91229OZ2e6XzTf0apgaPXo0kydP7s1DSpIkdUlEPNrxWl7mkyRJqsUwJUmS\nVINhSpIkqQbDlCRJUg2GKUmSpBoMU5IkSTUYpiRJkmroMExFxOoRcWtE3Fl9Qew3qvnnR8QjETGl\neozp+eZKkiT1L525aecCYM/MnB8Rw4AbW765/djMvLjnmidJktS/dRimMjOB+VU5rHpkTzZKkiRp\noOjUmKmIWCUipgCzgEmZeUu16D8j4q6IOCMiVmtn23ERMTkiJre1tXVTsyVJkvqHToWpzFyUmWOA\nTYGdI+INwL8B2wJvATYAjm9n2wmZOTYzx44Y0eF3BUqSJA0oK/RpvsycC/wJ2DczZ2axAPgJsHNP\nNFCSJKk/68yn+UZExHrV9BrA3sADEbFxNS+AA4F7erKhkiRJ/VFnPs23MTAxIlahhK+LMvOKiPhj\nRIwAApgCfLYH2ylJktQvdebTfHcBOy1j/p490iJJkqQBxDugS5Ik1WCYkiRJqsEwJUmSVINhSpIk\nqQbDlCRJUg2GKUmSpBoMU5IkSTV05qad6gfKjeZ7V2b2+jElaWXn/+crH3umBojM7NJji+Ov6PK2\nkqTu5//nKx/DlCRJUg2GKUmSpBoMU5IkSTUYpiRJkmowTEmSJNVgmJIkSarBMCVJklSDYUqSJKkG\nw5QkSVINhilJkqQaDFOSJEk1GKYkSZJqMExJkiTVYJiSJEmqwTAlSZJUg2FKkiSpBsOUJElSDYYp\nSZKkGob2dQMGmzd+4/c8++IrvXrM0eOv7LVjrbvGMO48cZ9eO54kSX2twzAVEasDNwCrVetfnJkn\nRsSWwIXAq4DbgEMz8+WebOzK4NkXX2Haqfv3dTN6TG8GN0mS+oPOXOZbAOyZmW8ExgD7RsTbgNOA\nMzLztcAc4PCea6YkSVL/1GGYymJ+VQ6rHgnsCVxczZ8IHNgjLZQkSerHOjUAPSJWiYgpwCxgEvAQ\nMDczF1arzABGtbPtuIiYHBGT29rauqPNkiRJ/UanwlRmLsrMMcCmwM7Atp09QGZOyMyxmTl2xIgR\nXWymJElS/7RCt0bIzLnAn4BdgPUiojGAfVPg8W5umyRJUr/XYZiKiBERsV41vQawN3A/JVR9uFrt\nMOA3PdVISZKk/qoz95naGJgYEatQwtdFmXlFRNwHXBgRJwN3AOf2YDslSZL6pQ7DVGbeBey0jPkP\nU8ZPSZIkDVp+nYwkSVINhilJkqQaDFOSJEk1GKYkSZJqMExJkiTVYJiSJEmqwTAlSZJUg2FKkiSp\nBsOUJElSDYYpSZKkGgxTkiRJNRimJEmSajBMSZIk1WCYkiRJqsEwJUmSVINhSpIkqQbDlCRJUg2G\nKUmSpBoMU5IkSTUYpiRJkmowTEmSJNVgmJIkSarBMCVJklSDYUqSJKkGw5QkSVINhilJkqQaDFOS\nJEk1GKYkSZJq6DBMRcRmEfGniLgvIu6NiC9V80+KiMcjYkr12K/nmytJktS/DO3EOguBr2Tm7REx\nHLgtIiZVy87IzO/0XPMkSZL6tw7DVGbOBGZW0/Mi4n5gVE83TJIkaSBYoTFTETEa2Am4pZp1ZETc\nFRHnRcT67WwzLiImR8Tktra2Wo2VJEnqbzodpiJibeDXwJcz8zngLGArYAyl5+q7y9ouMydk5tjM\nHDtixIhuaLIkSVL/0akwFRHDKEHqF5l5CUBmPpWZizJzMfBjYOeea6YkSVL/1JlP8wVwLnB/Zn6v\nZf7GLat9ELin+5snSZLUv3Xm03zvAA4F7o6IKdW8rwIfi4gxQALTgCN6pIWSJEn9WGc+zXcjEMtY\ndFX3N0eSJGlg8Q7okiRJNRimJEmSajBMSZIk1WCYkiRJqsEwJUmSVINhSpIkqQbDlCRJUg2GKUmS\npBoMU5IkSTUYpiRJkmowTEmSJNVgmJIkSarBMCVJklSDYUqSJKkGw5SkgWfxYmhra9Zf/zqccEKz\nHj8e/uM/mvUxx8AppzTrL38Zvv3tZn3kkfD97zfrI46AM89s1ocfDuec06wPOwzOPbdZH3IITJzY\nrD/yEfjlL8t0JnzoQ3DRRaV++eVSX3JJqV94odSXX17q554r9dVXl/qZZ0o9aVKpn3qq1H/6U6ln\nzCj1jTeWetq0Uv/1r6X+xz9KPXlyqR94oNR33lnqe+4p9b33lvqOO0r94IOl/tvfSv3ww6W++eZS\nP/ZYqW+4odRPPFHqP/6x1I2fzzXXlHrOnFJfeWWp580r9W9+U+oXXyz1xReXeuHCUl94Yakbfv5z\n+OhHm/X558PHP96sf/xj+MQnmvVZZ8FnPtOsf/hD+NznmvX3vgdHHdWsTz8djj66WX/rW3Dccc36\nG9+Ar361Wff2a0/90tC+boCklc8OE3fo3QO+tvp34qXl3+0adRVgGs2ZWAWcnRr1T8u/bwG4HiZW\nAentADfBxOpN7F0At8LE6k1uT7j7iW2bx586FXbaacn66aeb9YMPllAEJVw9+GAzXCxeXOq5c0u9\naNGSyxcuLPWzz5b6lVdK/dxzS9aNcPLyy6WeP7/UCxaU+vnnS/3ii6V+4YVSv/BCqRth5vnnl6zn\nzy/1Sy+Vet68Ui9YUOrnniv1K68su3722VIvWlTquXNLvXhxqefMKXVmqWfPXrJ+5plmsIMS0qZO\nbdazZpXA2Lr8oYea9VNPNYMgwJNPwiOPNOuZM5esn3iiGRQBHn98yZ/ljBn/fC52mLhDr772hm8H\nO0wcT2+6+7C7e/V4A1Vk4wXbC8aOHZuTG38dDVKjx1/JtFP37+tm9JiV/fzUObVfB489Vno8Gj0O\nRx5Zen7mzoVVVim9OHPmlB6iPuDrXLDyvw5W9vPrjIi4LTPHdrSel/kk9b2pU+Gkk5a89HPooTB9\neqmPOKJcFmv88feBD/RZkJKkpRmmJPW+hx8uY0Huu69Zf/ObZfwOwMEHw/33w6hRpd5hB9h7bxjq\nyARJ/Y9hSlLPafQkPfUU7LNP6XECGDIELrusOZZl993L2Jpddin1RhvBttuW9SSpn/N/KkndY9Gi\n5iBqgO23h5NPLtMbbFAGJr/8cqm32KIM6n3f+0q92mowfHjvtleSuol95pK65plnSo/T619f6u23\nh7Fjy0fXAfbYA7bZpkwPG9b8qD5ARO+2VZJ6kGFKUuc88ED5CHqjN+nDHy4fm//b30p99NHw6lc3\n12+9V44krcQMU5KWbfJkuPZaOP74Up9xBvzqV+U+QEOGwIknltsUNIwb1zftlKQ+5pgpScUtt8C/\n/EvzZo433ABf+1rzZpPHH1/ujt24RLf77rDrrn3SVEnqTwxT0mDT+ITdHXeUQHT//aVuaytfWTJt\nWqk/85nyCbtXvarUr3kNbLml450kaSmGKWll9sorza8VeeihEogurb72Yvjw0gvV+ATefvuVr9Jo\nDCgfPhzWXLP32yxJA4xhSlqZPPlks2dp3jxYb73mQPBNNy2ftmv0NL32tXDrrc17Ow0ZYq+TJHVB\nh2EqIjaLiD9FxH0RcW9EfKmav0FETIqIqdW/6/d8cyUt4bbb4M9/LtOZsOOO5VvtofQs/du/wTvf\nWerVVoOLLoLdduubtkrSSqozn+ZbCHwlM2+PiOHAbRExCfgEcG1mnhoR44HxwPE911RJ/OEP8Oij\n5atYAI46qvz7l7+UXqUJE8oNMRu+9rXeb6MkDTId9kxl5szMvL2angfcD4wCDgAmVqtNBA7sqUZK\ng9YVV8CXvtSsf/nLckuCxiDys84qtytoOPBA2Gmn3m2jJA1yKzRmKiJGAzsBtwAjM3NmtehJYGS3\ntkwaTBrh6Ior4F3vgpdeKvU995Tvs2vcruD008tA8sbYph13LGOhJEl9ptNhKiLWBn4NfDkzn2td\nlpkJZDvbjYuIyRExua2trVZjpZXCggXN76i79lrYbDOYOrXUEbB4cblNAcCxx5YB5Y1P1W24YRn7\nJEnqNzoVpiJiGCVI/SIzL6lmPxURG1fLNwZmLWvbzJyQmWMzc+yIESO6o83SwJEJjz3WDEdTpsA6\n68A115R6s83KAPFFi0q9//5w441lPix5h3FJUr/UmU/zBXAucH9mfq9l0eXAYdX0YcBvur950gCz\neHEZDH733aVuaysDwn/601Jvs00ZA7XllqXeemu44ALYbru+aa8kqbbO9Ey9AzgU2DMiplSP/YBT\ngb0jYirw7qqWBp9f/xp++9tm/b73wQ9/WKY32gjOPRc+8IFSr7FGGff0hjf0fjslST2iw1sjZOaN\nQHt38ture5sjDQDnnQdPPw3HHVfq006DddeF97+/3Pjyqqtgq62a63/qU33TTklSr/AO6FJHzjkH\nDj64WV93HVx+ebO+7DK4+upmvcsupUdKkjQoGKYkKLceaNye4Nxzy3fYvfJKqefPLz1RCxc2l994\nY3PbTTaBoZ25/60kaWVkmNLgk1nu1dS4d9NFF5VP2DW+027UKNh1V3iuugPIV75SbmHQCEzDhvV6\nkyVJ/ZdhSiu/BQvKpbkZM0p93XXlS34b32m3004wfjysumqp990XJk5sfiGwJEnLYZjSyufll8ut\nCG65pdRtbbDHHnBJdYu0t7wFzj4bdtih1K97HZx8cumRkiRpBRmmtHI47TT4xS/K9CqrwBe+UO7f\nBOXrVn7/ezj00FKvvTYccUQZ6yRJUk2OmtXAdMIJZYD4KaeU+qKL4I1vhEMOKWHq7rubdxEH2Hvv\nvmmnJGmlZ5hS//XSS7D66mX661+Hm24qA8EBnnyy+f12ADff3BzzBDB6dK81U5I0uHmZT/3D4sXw\n978365NPhpEjm99Zt8kmZWxT4/YFEybA+ec3128NUpIk9SLDlPrG/PllHNPzz5f67LNh221h+vRS\nv/3tcPTRpXcK4HOfK+tEezfjlySpbxim1DvmzCk3u2zcy+nGG+E974G//rXU++5bvqZl+PBS77kn\nnHgirLVWnzRXkqTOMkypZ8ybByedBNdfX+q5c+HTny69UQDveAdMmgRve1upX/Ma+OQnYb31+qS5\nkiR1lQPQ1T0WL4Zx42DDD5Z69dXhu98t/+62WxkQ/ve/l3FPUHqg3v3uPmuuJEndxTClFfPyy83B\n3h//ePkalh/9CIYMgalTYcNqvWHDys0yG5/Gi4Ctt+6TJkuS1JO8zKf2LVoEjzzSrA89tHxnXcMm\nm8CrX92sG5f0GhpBSpKklZg9U2qaPRtuu615g8ujjip3FZ89u/Q87bNPuTFmw+mn9007JUnqRwxT\ng9mMGfDb38Jhh8Gaa8JPfgLHHFNuiDlyZLmMt8supYdqyJDm17FIkqR/8jLfYDJ9Onz1q/DQQ6We\nMgU+/3m4/fZSH3QQXHcdrL9+qXfZpQSqYcP6pLmSJA0EhqmVWVtb6U2aNKnUL74I3/423HlnqffY\nAx5+uNymAGDzzcsn77ybuCRJneZlvl42fLvx7DBxfO8d8N3AE1NgYlX/z7Yw70SYeGJznRu673DD\ntwPYv/t2KElSP2eY6mXz7j+VaaeuvGFj9Pgr+7oJkiT1Ki/zSZIk1WCYkiRJqsEwJUmSVINhSpIk\nqQbDlCRJUg2GKUmSpBoMU5IkSTV0GKYi4ryImBUR97TMOykiHo+IKdVjv55tpiRJUv/UmZ6p84F9\nlzH/jMwcUz2u6t5mSZIkDQwdhqnMvAGY3QttkSRJGnDqjJk6MiLuqi4Drt9tLZIkSRpAuhqmzgK2\nAsYAM4HvtrdiRIyLiMkRMbmtra2Lh5MkSeqfuhSmMvOpzFyUmYuBHwM7L2fdCZk5NjPHjhgxoqvt\nlCRJ6pe6FKYiYuOW8oPAPe2tK0mStDIb2tEKEXEBsDuwYUTMAE4Edo+IMUAC04AjerCNkiRJ/VaH\nYSozP7aM2ef2QFskSZIGHO+ALkmSVINhSpIkqQbDlCRJUg2GKUmSpBoMU5IkSTUYpiRJkmowTEmS\nJNVgmJIkSarBMCVJklSDYUqSJKkGw5QkSVINhilJkqQaDFOSJEk1GKYkSZJqMExJkiTVYJiSJEmq\nwTAlSZJUg2FKkiSpBsOUJElSDYYpSZKkGgxTkiRJNRimJEmSajBMSZIk1TC0rxswGI0ef2VfN6HH\nrLvGsL5ugiT1Gv8/Fximet20U/fv1eONHn9lrx9TkgYD/z9Xg5f5JEmSajBMSZIk1WCYkiRJqqHD\nMBUR50XErIi4p2XeBhExKSKmVv+u37PNlCRJ6p860zN1PrDvUvPGA9dm5uuAa6takiRp0OkwTGXm\nDcDspWYfAEyspicCB3ZzuyRJkgaEro6ZGpmZM6vpJ4GR3dQeSZKkAaX2APTMTCDbWx4R4yJickRM\nbmtrq3s4SZKkfqWrYeqpiNgYoPp3VnsrZuaEzBybmWNHjBjRxcNJkiT1T10NU5cDh1XThwG/6Z7m\nSJIkDSyduTXCBcDNwDYRMSMiDgdOBfaOiKnAu6takiRp0Onwu/ky82PtLNqrm9siSZI04HgHdEmS\npBoMU5IkSTUYpiRJkmowTEmSJNVgmJIkSarBMCVJklSDYUqSJKkGw5QkSVINhilJkqQaDFOSJEk1\nGKYkSZJqMExJkiTVYJiSJEmqwTAlSZJUg2FKkiSpBsOUJElSDYYpSZKkGob2dQMkrZxGj7+yr5vQ\nY9ZdY1hfN0FSP2KYktTtpp26f68eb/T4K3v9mJLU4GU+SZKkGgxTkiRJNRimJEmSajBMSZIk1WCY\nkiRJqsEwJUmSVINhSpIkqQbDlCRJUg2GKUmSpBpq3QE9IqYB84BFwMLMHNsdjdL/FRFd3/a0rm2X\nmV0+ptQVvs41GPg6X/l0x9fJ7JGZT3fDfrQc/iJoMPB1rsHA1/nKx8t8kiRJNdQNUwn8PiJui4hx\n3dEgSZKkgaTuZb53ZubjEbERMCkiHsjMG1pXqELWOIDNN9+85uEkSZL6l1o9U5n5ePXvLOBSYOdl\nrDMhM8dm5tgRI0bUOZwkSVK/0+UwFRFrRcTwxjSwD3BPdzVMkiRpIKhzmW8kcGn1Ec+hwC8z83fd\n0ipJkqQBosthKjMfBt7YjW2RJEkacLw1giRJUg2GKUmSpBoMU5IkSTUYpiRJkmowTEmSJNVgmJIk\nSarBMCVJklSDYUqSJKkGw5Q2rWexAAAFTklEQVQkSVINhilJkqQaDFOSJEk1GKYkSZJqMExJkiTV\nYJiSJEmqwTAlSZJUg2FKkiSpBsOUJElSDYYpSZKkGgxTkiRJNRimJEmSajBMSZIk1WCYkiRJqsEw\nJUmSVINhSpIkqQbDlCRJUg2GKUmSpBoMU5IkSTUYpiRJkmqoFaYiYt+I+HtE/CMixndXoyRJkgaK\nLoepiFgF+G/gvcDrgY9FxOu7q2GSJEkDQZ2eqZ2Bf2Tmw5n5MnAhcED3NEuSJGlgqBOmRgHTW+oZ\n1TxJkqRBY2hPHyAixgHjqnJ+RPy9p4+pJWwIPN3XjZB6mK9zDQa+znvfFp1ZqU6YehzYrKXetJq3\nhMycAEyocRzVEBGTM3NsX7dD6km+zjUY+Drvv+pc5vsb8LqI2DIiVgU+ClzePc2SJEkaGLrcM5WZ\nCyPiSOAaYBXgvMy8t9taJkmSNADUGjOVmVcBV3VTW9QzvMSqwcDXuQYDX+f9VGRmX7dBkiRpwPLr\nZCRJkmowTK2kIuK8iJgVEff0dVukzoqI9SLi4oh4ICLuj4hdIuKkiHg8IqZUj/2qdUdHxIst889u\n2c/vIuLOiLg3Is6uvrGhseyL1f7vjYjT++I8pep1fcxylo+IiFsi4o6I2LUL+/9ERJxZTR/oN5T0\nrB6/z5T6zPnAmcBP+7gd0or4AfC7zPxw9SnhNYH3AGdk5neWsf5DmTlmGfM/kpnPRUQAFwMHARdG\nxB6Ub2p4Y2YuiIiNeug8pLr2Au7OzE93w74OBK4A7uuGfWkZ7JlaSWXmDcDsvm6H1FkRsS7wLuBc\ngMx8OTPndmVfmflcNTkUWBVoDA79HHBqZi6o1ptVq9HSCoiIf4+IByPiRmCbat5WVU/qbRHx54jY\nNiLGAKcDB1S9rmtExFkRMbnqUf1Gyz6nRcSG1fTYiLhuqWO+HfgA8O1qX1v11vkOJoYpSf3FlkAb\n8JPq0sb/RMRa1bIjI+Ku6vL1+q3bVOtev/SlkIi4BpgFzKP0TgFsDexaXT65PiLe0sPnJAEQEW+m\n3I9xDLAf0HjtTQC+mJlvBo4BfpSZU4ATgF9l5pjMfBH49+qGnTsCu0XEjp05bmbeRLkH5LHVvh7q\n1hMTYJiS1H8MBd4EnJWZOwHPA+OBs4CtKG9CM4HvVuvPBDav1j0a+GVErNPYWWa+B9gYWA3Ys+UY\nGwBvA44FLqouBUo9bVfg0sx8oeo5vRxYHXg78L8RMQU4h/KaXZaPRMTtwB3A9oBjoPoRw5Sk/mIG\nMCMzb6nqi4E3ZeZTmbkoMxcDPwZ2BsjMBZn5TDV9G/AQpefpnzLzJeA3lHFSjWNcksWtwGLK951J\nfWEIMLfqMWo8tlt6pYjYktJrtVdm7ghcSQliAAtpvpevvvS26h2GKUn9QmY+CUyPiG2qWXsB90VE\n61/qHwTugX9+2mmVavo1wOuAhyNi7cY2ETEU2B94oNr+MmCPatnWlPFUfnGsesMNwIHV+KfhwPuB\nF4BHIuIggCjeuIxt16H01D4bESOB97Ysmwa8uZr+UDvHngcMr38Kao9haiUVERcANwPbRMSMiDi8\nr9skdcIXgV9ExF2Uy3rfAk6PiLureXsA/1qt+y7gruryyMXAZzNzNrAWcHm1/hTKuKnGbRPOA15T\n3TLkQuCw9M7F6gWZeTvwK+BO4GrK99sCHAIcHhF3AvfS7EVt3fZOyuW9B4BfAn9pWfwN4AcRMRlY\n1M7hLwSOrcYXOgC9B3gHdEmSpBrsmZIkSarBMCVJklSDYUqSJKkGw5QkSVINhilJkqQaDFOSJEk1\nGKYkSZJqMExJkiTV8P8Bewt6pJ00lmsAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x112270250>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x112bfb450>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x112c06d50>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSZIkdWDIkiRJ6uD/A3Pv7sTBBLWHAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x112b96f50>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n5tfCQZJ2kgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x112d33410>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJEkVGLIkSZIq+P97oq760sxrgAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x112db6090>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSarBMCVJklSDYUqSJKmG/w+7lMKKF3jsBQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x112e89fd0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x112f17610>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFA1xc3VSX5oAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x112fc3c90>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVG5G6wAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1130afcd0>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAmAAAAE/CAYAAADhW39vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x11314ad10>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x113163850>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1131e9b10>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nWIMAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x113282690>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlkAAAE/CAYAAAB1vdadAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4wLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvpW3flQAAIABJREFUeJzt3Xu85mO9//HXxxgzwiaZpHEYRRpN\njCySqJBEJPu3Q9k57NnJL82vUKFpE0nskkqYyDl7HLMdIkmDJqLBGMZhG6dtGGZyGOMwY4zP74/r\nu7rvNY1Za9Za33WY9Xo+Hvdjfa/v8boPM+u9ruu6r29kJpIkSepey/V2BSRJkpZFhixJkqQaGLIk\nSZJqYMiSJEmqgSFLkiSpBoYsSZKkGhiypBpFxIoRcXVEzImISyNin4j4fXedrzvr2tMiYnxE/Ee1\n/ImImNHF87V5bSMiI2KDrtZTfY/vtfqL5Xu7AlJPiojHgX/PzD904Rz7V+fYpgO7/wuwJvCOzHyj\nWndhZ6/9FufrlzLzoG4+34V07bVVP+F7rf7CliypXusB/9ORQBQRHfmjp8PnkyT1LkOWBoyIuABY\nF7g6Il6OiG9HxFYRcWtEvBgR90TEJ5r23z8iHo2IuRHxWNVFMRIYD3ykOseLS7jeMcBRwF7VvmOq\nc05q2icj4uCIeBh4uFr3/oi4ISKej4iHImLPJZxvuYj4bkQ8ERGzIuL8iFi12n+vqt7/VJV3john\nImLYEup8akSctMi6qyLikGr58Yj4VkRMjYhXIuKsiFgzIq6rXqc/RMTbm469tLrmnIi4JSI+0LTt\n3Ig4rr33bZG6HBERj1TXuj8i9mja1ua17eD5VoyIk6rXb05ETIqIFattn42IadVn46bqvW89rsOv\nQ0SMqN7nAyPi6YiYGRHfbDrXkIj4abXt6Wp5SLVtjYi4pqrD8xHxp4hYrtr27oi4PCJmV+/z/+vA\n8/1eRFxSfU7mVs+vpWn7Ys8ZEUMj4rWIWKMqj4uIN5o+W9+PiJ+2c+1zI+K06jV6OSL+HBHvqp7v\nCxHxYERs1rR/t77XUq/ITB8+BswDeBz4ZLU8HHgO2IXyB8eOVXkYsBLwErBRte9awAeq5f2BSR28\n3veAXzeV2xwLJHADsDqwYnXdJ4EDKN35mwF/AzZ+i/P9GzAdeA+wMvAb4IKm7RcC5wLvAJ4Gdm2n\nvltW+y1XldcAXgXWbHr9/kLpshwOzALuquo5FPgjcPQi9VsFGAL8FJjStO1c4Lhq+RPAjA68np8H\n3l29X3sBrwBrLeG13aCd850K3FQ9l0HA1lVd31ede0dgMPDt6nVeYWlfB2BEVZcJ1fv7QWA2jc/h\nsdW53kn57N0KfL/a9kNKqB9cPbYFonr+d1JC9wrV+/8osFMHPo/zKJ/5QdX5/1JtW+I5gVuA/1Mt\n/x54BNi5adse7Vz7XMpnefOm1+gxYN+qLscBE+t6r3346I2HLVkayP4VuDYzr83MNzPzBmAy5RcQ\nwJvAqIhYMTNnZua0murxw8x8PjNfA3YFHs/MczLzjcy8G7ic8gtncfYBfpKZj2bmy8CRwN7R6Ho8\nGNieEiSuzsxrllSRzLwDmAPsUK3aG7gpM59t2u2UzHw2M58C/gTcnpl3Z+Y84ApK0Gg939mZOTcz\n51N+wW/a2tLWGZl5aWY+Xb1fF1Na/7bszLmqFqF/A76emU9l5sLMvLWq617AbzPzhsxcAPyYEoK3\nbjpFh1+HyjGZ+Upm3gucA3yhWr8PcGxmzsrM2cAxwJeqbQsoAX+9zFyQmX/KzAS2AIZl5rGZ+Xpm\nPgqcSXm/2jOp+swvBC4ANq3Wt3fOm4GPV5+tTYCfV+Wh1bG3dODaV2TmnU2v0bzMPL+qy8W0/ex0\n23st9RZDlgay9YDPV10xL0bp+tuG8tfyK5RftAcBMyPitxHx/prq8eQidfrwInXaB3jXWxz7buCJ\npvITlBawNQEy80XgUmAUcNI/HL1451ECKNXPCxbZ3hy4XltMeWWAiBgUESdUXT4vUVp/oLSOdUpE\n7BsRU5pem1FdON8alBaVRxazrc3rmplvUt6n4U37dOh1aNL8Pj9RXeMfrrXIth9RWtB+H6Xr+ohq\n/XrAuxf5nHyH6n1vxzNNy68CQ6vg1N45b6a0OH4IuJfSAvtxYCtgemY+14Frd/g16+b3WuoVfrtQ\nA002LT9J6Vr78mJ3zLweuL4ao3Mc5a/6bRc5Rx11ujkzd+zgsU9Tfjm2Whd4g+qXV0SMprTWTKC0\nPHy6A+f8NXBfRGwKjAT+u4N1WdQXgd2BT1IC1qrAC5TurqUWEetR3oMdgNsyc2FETOns+ShdV/OA\n9wL3LLLtaUq3Xuu1A1gHeKqT16I6/sFqed3qGq3XWg+Ytui2zJwLHAYcFhGjgD9GxF8pn5PHMnPD\nLtRnUe2d81ZgI2APymf0/ohYl9Lye3M31qOO91rqFbZkaaB5ljLWBEqY2C0idqpaXYZGma9p7WoQ\n8+4RsRIwH3iZ0n3Yeo61I2KFGup3DfC+iPhSRAyuHltE06DrRUwADomI9SNiZeB44OLMfKPqxvk1\npTXiAGB4RHy1vQpk5gzgr5QWrMurbszOWIXy2j0HvK2qW1esRAmkswEi4gBK60anVK1TZwM/qQZ8\nD4qIj1SDzi8BPhMRO0TEYErQmU8JGp31HxHxtiiD/w+gdI9BeQ+/GxHDqoHlR1HeNyJi14jYoAp5\nc4CFlM/hHcDciDg8yuD9QRExKiK26EL9lnjOzHyVMmbrYBqh6lZKa2+3hiy6+b2WeoshSwPNDym/\n0F6kdAfuTgkhsyl/yX+L8u9iOeBQSovC85Rukf9bneOPlFaHZyLib91Zuarl4lOUcTBPU7p2TqQM\nxl6csylh6BbKIOJ5wNhq2w+BJzPz9Gqc0b8Cx0VER1o/zqO05CzaVbg0zqd0fT0F3E8Z3N1pmXk/\npcvzNkrQ/SDw566cE/gmpevrr5T3+UTKoP+HKK/XKZQWr92A3TLz9S5c62ZK19+NwI8zs3UyzeMo\nYwGnVnW5q1oHsCHwB0rIvw04LTMnVmOYdgVGU973vwG/orQWdkoHz3kzZQD+HU3lVejYeKylqUsd\n77XU46KMoZSkhoj4GKU1Zb30P4kuiYgRlNAyOJ3fTBpQbMmS1EbVPfZ14FcGLEnqPEOW1EVRJnR8\neTGPfXq7bosTEdu+RX1frsZ+vUiZNmCJk0vWVLd1l1C3dTt5zn71/nRVNCb7XPTxnR649oB6raX2\n2F0oSZJUgw63ZFXfNLk7Iq6pyutHxO0RMT0iLm79plWUW0RcXK2/vRqPIEmSNKAsTXfh14EHmson\nAidn5gaUuW/GVOvHAC9U60+u9pMkSRpQOtRdGBFrU77S/QPK19p3o3zl/V3VfDwfAb6XmTtFxPXV\n8m1RZhF+hnKrhre80BprrJEjRozo+rORJEmq2Z133vm3zBzW3n4dnfH9p5QbpK5Sld8BvNj0deQZ\nNG43MZzq9hFVAJtT7f+W8wmNGDGCyZMnd7AqkiRJvScinmh/rw50F0bErsCszLyzy7Vqe94DI2Jy\nREyePXt2d55akiSp13VkTNZHgc9GxOPARcD2wM+A1aruQIC1adzT6ynKPbqotq9Kua1GG5l5Rma2\nZGbLsGHttrhJkiT1K+2GrMw8MjPXzswRlFt9/DEz9wEmAv9S7bYfcGW1fFVVptr+Ryc0lCRJA01X\nJiM9HDg0IqZTxlydVa0/C3hHtf5Q4IiuVVGSJKn/6ejAdwAy8ybgpmr5UWDLxewzD/h8N9RNkiSp\n3/K2OpIkSTUwZEmSJNXAkCVJklQDQ5YkSVINDFmSJEk1MGRJkiTVwJAlSZJUA0OWJElSDQxZkiRJ\nNTBkSZIk1cCQJUmSVANDliRJUg0MWZIkSTUwZEmSJNXAkCVJklQDQ9YAM2HCBEaNGsWgQYMYNWoU\nEyZM6O0qSZK0TFq+tyugnjNhwgTGjRvHWWedxTbbbMOkSZMYM2YMAF/4whd6uXaSJC1bIjN7uw60\ntLTk5MmTe7say7xRo0ZxyimnsN122/193cSJExk7diz33XdfL9ZMkqT+IyLuzMyWdvczZA0cgwYN\nYt68eQwePPjv6xYsWMDQoUNZuHBhL9ZMkqT+o6MhyzFZA8jIkSOZNGlSm3WTJk1i5MiRvVQjSZKW\nXYasAWTcuHGMGTOGiRMnsmDBAiZOnMiYMWMYN25cb1dNkqRljgPfB5DWwe1jx47lgQceYOTIkfzg\nBz9w0LskSTVwTJYkSdJScEyWJElSLzJkSZIk1aDdkBURQyPijoi4JyKmRcQx1fpzI+KxiJhSPUZX\n6yMifh4R0yNiakR8qO4nIWnZFhE9/pCkrupIS9Z8YPvM3BQYDXw6Iraqtn0rM0dXjynVup2BDavH\ngcDp3V1pSQNLZnbqsd7h13T6WEnqqnZDVhYvV8XB1WNJ/wPtDpxfHfcXYLWIWKvrVZUkSeo/OjQm\nKyIGRcQUYBZwQ2beXm36QdUleHJEDKnWDQeebDp8RrVOkiRpwOhQyMrMhZk5Glgb2DIiRgFHAu8H\ntgBWBw5fmgtHxIERMTkiJs+ePXspqy1JktS3LdW3CzPzRWAi8OnMnFl1Cc4HzgG2rHZ7Clin6bC1\nq3WLnuuMzGzJzJZhw4Z1rvaSJEl9VEe+XTgsIlarllcEdgQebB1nFeVrOJ8D7qsOuQrYt/qW4VbA\nnMycWUvtJUmS+qiO3FZnLeC8iBhECWWXZOY1EfHHiBgGBDAFOKja/1pgF2A68CpwQPdXW5IkqW9r\nN2Rl5lRgs8Ws3/4t9k/g4K5XTZIkqf9yxndJkqQaGLIkSZJqYMiSJEmqgSFLkiSpBoYsSZKkGhiy\nJEmSatCRebLUh5W5YHtWmaVDkiQtiS1Z/Vxmduqx3uHXdPpYSZLUPkOWJElSDQxZkiRJNTBkSZIk\n1cCQJUmSVANDliRJUg0MWZIkSTVwnqw+YtNjfs+c1xb06DVHHPHbHrvWqisO5p6jP9Vj15Ok/sZ5\nD5c9hqw+Ys5rC3j8hM/0djVq05OBTpL6o84GnhFH/HaZ/v3Rn9ldOFDddhvcf39v10KSpGWWLVl9\nxCojj+CD5x3R8xf+a89cZpWRAP6lNdDZLS5pIDFk9RFzHzihZ5t7p06FTNh001Lef3/YeGP49rdL\n+R3vgL32gtNOK+XNN4d99oFDDy3lCy6AlhYYObJDl7O7UGC3uKSBxe7CgWqTTRoBC+DccxsBC2DS\nJPjWt8rywoXw/vfDmmuW8iuvwL77wn//dym/+iq8+91wzjmlPG8e/OIX8D//U8oOrJQkDUCGLC3e\nyJGw/vpledAguPDC0pIFsOKK8OijMGZMKc+bB7vsAuuuW8pPPAFjx8Idd5Rya9i6+ury85ln4Mc/\nhscfL+WFCw1ikqRljt2FfUhnuhqeOHHXGmqyZOsdfs0/rlxjD7hhHtxQPYfDr4H7gOo5rZqvw/ob\nlm3TppVWsi22gBEj4Kab4DOfKT+32goeeAAuuwwOPLC0ns2fD8stB4MH98CzkySpexiy+ohOj1M5\noR+2AO2wA7z4YmkRg9LVOHYsrLdeKd99Nxx1VKPlbMKE0mr2yCMllP3pT3DddXDkkbDKKjB3bmlt\ne9vbeuXpSJK0OHYXqnesuiqssEJZHjkSfvQjWGutUv7iF+G110qggjJ+bNy4EsYA7ryzdDe2tmz9\n9Kew0kql2xLg8svhsMMaXZCzZsHzz/fI05IkqZUhS33T0KGlixDgQx+CY49thLJvfKOEsKFDS3nH\nHeEnP2mUp0wpg/JbZ0/+7nfbfgvyF7+AI5qmy3jsMZg5s97nI0kacNoNWRExNCLuiIh7ImJaRBxT\nrV8/Im6PiOkRcXFErFCtH1KVp1fbR9T7FDQgDRrUWN5qKzjkkEb5+98vXYut9tuvhLBWDzxQWsNa\nffWrsGvT2LYjj4RjjmmU77kH/vd/u6/ukqQBoSNjsuYD22fmyxExGJgUEdcBhwInZ+ZFETEeGAOc\nXv18ITM3iIi9gROBvWqqv9S+j360PFqdemrb7ePGlWkpWs2Y0RgvBmVs2IYbwhVXlPK//iuMHg3f\n/GYp33xzGU/W2r0pSRIdaMnK4uWqOLh6JLA9cFm1/jzgc9Xy7lWZavsO0Rt3vZQ6apttYKedGuUL\nLoAzzmiUx48vrVutXnmlfOOx1Wc/Cyed1Chvu23b46+4ojFdhSRpwOjQmKyIGBQRU4BZwA3AI8CL\nmflGtcsMYHi1PBx4EqDaPgd4R3dWWupR22wDW27ZKF9xRWn9gjK4/vrr4WtfK+XXXy+D+ocMKeWX\nXoJ//me49NJSnju3TOx68cWl/NprJdTZHSlJy5wOhazMXJiZo4G1gS2B93f1whFxYERMjojJs2fP\n7urppN4RUcaEbbRRKa+wAlxzTRkHBmVaiSlTGtNRvPoqfPCDsPrqpfzoo2X2/D//uZQffLB0Pd5w\nQyk/+2xpFXNgviT1O0v17cLMfBGYCHwEWC0iWsd0rQ08VS0/BawDUG1fFXhuMec6IzNbMrNl2LBh\nnay+1Mctv3y5fVHr9BNrrllatXbcsZTf974SrHbeuZQHDYKPfxze9a5Svvtu+MpXShgD+P3v4Z3v\nLOsBHnoIfv5zeK76J+bs+ZLUZ7Q78D0ihgELMvPFiFgR2JEymH0i8C/ARcB+wJXVIVdV5duq7X/M\n9H99abEGD260gkEZYH/++Y3yJz9ZblP0zneW8rBhsMcejTnFJk2Cr38ddt+93NT7nHPKNy0feqgE\nu1tvLZO3jh1bWtXmzSutbcs5e4tUl02P+T1zXlvQo9fsyZuTr7riYO45+lM9dr3+rCPfLlwLOC8i\nBlFavi7JzGsi4n7goog4DrgbOKva/yzggoiYDjwP7F1DvaWBYfnlG/eEBNhsM/jlLxvlf/u3MvD+\nHdWwx403LutaW4cnTiyz5x96aCmfcAKceGIZKzZ4MFx1VenO/I//KF2fc+aUb1a2zkkmaanNeW1B\n5+/i0Q/0ZKDr79oNWZk5FdhsMesfpYzPWnT9PODz3VI7SUsW0QhUAFtvXR6txo0rLV2ts+N/7GMl\nuLWWJ04s94k86qhSPuSQ0iU5Y0Ypn3FGmS2/dfLWmTNh5ZXL7YwkSUtkn4G0rFt55cby9tuXGfBb\nnXxymfG+1V57wdFHN8qTJpX7RLbab7/ShdnqmGPKOVo9/HBjfJgkDXCGLGmgW76pQXunneDLX26U\nzz8fbrqpUT7kkLZzht15J0yd2ijvtlsZqN/qy18u84w1mzWrW6ot9SmLfunkmWfgjWqWoxdegHvv\nhQXVOK2nny6tyK+/XsoPPwyXXNLYfvfdcNpp5ZwAt9xS/qBpPf8115Tbi6nP68iYLEkDWfNcwq3f\ngmx11VVtyz/5SduuxIcfhuHVFHqtvyB++MPS+pVZzvelL5UpLjLhxhth1KjGtys1MGSWSX4HDy5z\nzL35ZvnCx9vfDqutVsLHlCmwzjrls/HaayWkjBpVxizOnVvmr9t6a9hgg9Kaeu658JnPlHnpZs6E\nn/2s3K1h1KjSenvccaUrfZNN4P77yx8Pxx5bvg08eXLZduqp5e4Ot9wC//7v5ZvBm24K115bPrO3\n3FKmZLn4Yth7b5g2DTbemFVGHsEHr1/M87xrkfKi0+P91/cbyysBvz69UR4BnH9Zo7wZcN4HO/+a\nd8EqIwGW3TFn3Soze/2x+eabp6Rl3MKFud7h12ROnVrKr76aue22mWedVcrPP58JmSedVMovvJC5\nxRaZV17Z2P/KKzOfeabn695B6x1+Tc9d7M03MxcsaJRfeCHzb39rlB97LPORRxrlu+7KvPvuRvkP\nf8i85ZZG+eKLM6+7rlE+9dTMyy5rlI8+OvP88xvlr34184wzGuV//ufMn/+8Ud5668wf/7hRXn/9\nzB/+sFH3IUMyjz22lF97rbz3xx9fynPmlHLr8bNnl3Lr+WfMKOVf/rLxXCHznHNK+cEHS/nCC0v5\n3nszV1gh8ze/KeV77skcPjzzhhtK+e67MzfdNPPWWxvlT36y7JeZOWVK5t57Zz70UClPnZo5dmzm\n//5vKU+bVp7Ls89mZvU5OO208p5klvfh0kszX365Uf+JEzPnzWs8v/vua7yfc+eWcy1cWMpvvNFY\n7gN69HPeRwGTswP5ptcDVhqypAFjif85z5+fefPNmY8/XspPPpn5qU9l/u53pXzPPeW/rIsvLuX7\n788cNaoRFJ59NvOii8ovrI5YsKD8Mm/95fXSS5nTpzd+0T3zTOZf/tIoP/JI5tVXl194rfU555wS\nGDIzJ01q+/yuuy7zu99tlCdMyDz44EZ5/PjMffdtlI8/PnP33Rvlb34zc4cdGuUDDsj88Icb5d12\nyxw9ulH+1Kfabt9uuxJiW229ddvztbRk7rxzo7zJJm2vv9FGmXvu2ShvumnmV77SKH/0o5njxjXK\nO+/cNlTttVfmr37VKH/lK21D2+GHN0LOwoWZP/pReb0zy2t+zjkleGRmvv56ee0fe6yU588v+86a\n1dg+fXoJJ5nlPXrppbYhtAct6yFkWX9+HdHRkGV3oaS+YYUVyrcfW629drllUasNN4Q77oD3vKeU\n33yzLK+2Win/9a+ly+a222CNNcq3JPffv3QrbbQRXHRRGbg/bVrpUjrvvNIF9MQTpcvp17+Gr361\ndC29611l/298o3Q9rb46XH45fPvb8PLLsNJKcPXV5UsEX/xiqfv11wMfLl1fEaUr6dRT4ftVF9CD\nD5bu0FbPPQdPPtkoDxnS9sbkI0Y0xuhAuSfmBhs0yvvsU6bcaDV2bNt7ah51VNsxQqecUia7bTVh\nQtupOv7wh7bl++5ru/+UKbQxaVLb8rXXti1fdFHb8qJj8044obG83HKNG65DGSe4//6N8uDBsOuu\njfIKK8CHP9x2+3vf2ygPGuQ3YNUnRPaBeUJbWlpy8uTJvV0NSTX7YC+NIelJ9+47te04Ng04I474\n7TI/T9ay/Pw6IiLuzMyW9vazJUtSj5n7wAnL9H/OI474rQFL0t8ZsiRJ6mbL8qzoq644uLer0G8Y\nsiRJ6kY93Vpr913fZciS1KP8C1/SQGHIktRj/Atf0kDibXUkSZJqYMiSJEmqgSFrgBk7dixDhw4l\nIhg6dChjx47t7SpJkrRMMmQNIGPHjmX8+PEcf/zxvPLKKxx//PGMHz/eoCVJUg0MWQPImWeeyYkn\nnsihhx7K2972Ng499FBOPPFEzjzzzN6umiRJyxxD1gAyf/58DjrooDbrDjroIOY33+9MktQrIqJT\njydO3LXTx6pehqwBZMiQIYxf5Cat48ePZ8iQIb1UI0lSq8zs8Yfq5TxZA8iXv/xlDj/8cKC0YI0f\nP57DDz/8H1q3JElS1xmyBpBTTjkFgO985zscdthhDBkyhIMOOujv6yVJUvcxZA0wp5xyiqFKkqQe\n4JgsSZKkGhiyJEmSamDIkiRJqkG7ISsi1omIiRFxf0RMi4ivV+u/FxFPRcSU6rFL0zFHRsT0iHgo\nInaq8wlIkiT1RR0Z+P4GcFhm3hURqwB3RsQN1baTM/PHzTtHxMbA3sAHgHcDf4iI92Xmwu6suCRJ\nUl/WbktWZs7MzLuq5bnAA8DwJRyyO3BRZs7PzMeA6cCW3VFZSZKk/mKpxmRFxAhgM+D2atXXImJq\nRJwdEW+v1g0Hnmw6bAaLCWURcWBETI6IybNnz17qikuSJPVlHQ5ZEbEycDnwjcx8CTgdeC8wGpgJ\nnLQ0F87MMzKzJTNbhg0btjSHSpIk9XkdClkRMZgSsC7MzN8AZOazmbkwM98EzqTRJfgUsE7T4WtX\n6yRJkgaMjny7MICzgAcy8ydN69dq2m0P4L5q+Spg74gYEhHrAxsCd3RflSVJkvq+jny78KPAl4B7\nI2JKte47wBciYjSQwOPAVwAyc1pEXALcT/lm4sF+s1CSJA007YaszJwExGI2XbuEY34A/KAL9ZIk\nSerXnPFdkiSpBoYsSZKkGhiyJEmSamDIkiRJqoEhS5IkqQaGLEmSpBp0ZJ4sSepVZU7kTh57YueO\ny8xOX1OSwJAlqR8w8Ejqj+wulCRJqoEhS5IkqQaGLEmSpBoYsiRJkmpgyJIkSaqBIUuSJKkGhixJ\nkqQaGLIkSZJqYMiSJEmqgSFLkiSpBoYsSZKkGhiyJEmSamDIkiRJqoEhS5IkqQaGLEmSpBoYsiRJ\nkmrQbsiKiHUiYmJE3B8R0yLi69X61SPihoh4uPr59mp9RMTPI2J6REyNiA/V/SQkSZL6mo60ZL0B\nHJaZGwNbAQdHxMbAEcCNmbkhcGNVBtgZ2LB6HAic3u21liRJ6uPaDVmZOTMz76qW5wIPAMOB3YHz\nqt3OAz5XLe8OnJ/FX4DVImKtbq+5JElSH7ZUY7IiYgSwGXA7sGZmzqw2PQOsWS0PB55sOmxGtU6S\nJGnA6HDIioiVgcuBb2TmS83bMjOBXJoLR8SBETE5IibPnj17aQ6VJEnq8zoUsiJiMCVgXZiZv6lW\nP9vaDVj9nFWtfwpYp+nwtat1bWTmGZnZkpktw4YN62z9JUmS+qSOfLswgLOABzLzJ02brgL2q5b3\nA65sWr9v9S3DrYA5Td2KkiRJA8LyHdjno8CXgHsjYkq17jvACcAlETEGeALYs9p2LbALMB14FTig\nW2ssSZLUD7QbsjJzEhBvsXmHxeyfwMFdrJckSVK/5ozvkiRJNTBkSZIk1cCQJUmSVANDliRJUg0M\nWZIkSTUwZEmSJNXAkCVJklQDQ5YkSVINDFmSJEk1MGRJkiTVwJAlSZJUA0OWJElSDQxZkiRJNTBk\nSZIk1cCQJUmSVANDliRJUg0MWZIkSTUwZEmSJNXAkCVJklQDQ5YkSVINDFmSJEk1MGRJkiTVwJAl\nSZJUA0OWJElSDQxZkiRJNWg3ZEXE2RExKyLua1r3vYh4KiKmVI9dmrYdGRHTI+KhiNipropLkiT1\nZR1pyToX+PRi1p+cmaOrx7UAEbExsDfwgeqY0yJiUHdVVpIkqb9oN2Rl5i3A8x083+7ARZk5PzMf\nA6YDW3ahfpIkSf1SV8ZkfS0iplbdiW+v1g0HnmzaZ0a1TpIkaUDpbMg6HXgvMBqYCZy0tCeIiAMj\nYnJETJ49e3YnqyFJktQ3dSrJejGhAAAJhElEQVRkZeazmbkwM98EzqTRJfgUsE7TrmtX6xZ3jjMy\nsyUzW4YNG9aZakiSJPVZnQpZEbFWU3EPoPWbh1cBe0fEkIhYH9gQuKNrVZQkSep/lm9vh4iYAHwC\nWCMiZgBHA5+IiNFAAo8DXwHIzGkRcQlwP/AGcHBmLqyn6pIkSX1XZGZv14GWlpacPHlyb1dDkiSp\nXRFxZ2a2tLefM75LkiTVwJAlSZJUA0OWJElSDQxZkiRJNTBkSZIk1cCQJUmSVANDliRJUg0MWZIk\nSTUwZEmSJNXAkCVJklQDQ5YkSVINDFmSJEk1MGRJkiTVwJAlSZJUA0OWJElSDQxZkiRJNTBkSZIk\n1cCQJUmSVANDliRJUg0MWZIkSTUwZEmSJNXAkCVJklQDQ5YkSVINDFmSJEk1MGRJkiTVoN2QFRFn\nR8SsiLivad3qEXFDRDxc/Xx7tT4i4ucRMT0ipkbEh+qsvCRJUl/VkZasc4FPL7LuCODGzNwQuLEq\nA+wMbFg9DgRO755qSpIk9S/thqzMvAV4fpHVuwPnVcvnAZ9rWn9+Fn8BVouItbqrspIkSf1FZ8dk\nrZmZM6vlZ4A1q+XhwJNN+82o1v2DiDgwIiZHxOTZs2d3shqSJEl9U5cHvmdmAtmJ487IzJbMbBk2\nbFhXqyFJktSndDZkPdvaDVj9nFWtfwpYp2m/tat1kiRJA0pnQ9ZVwH7V8n7AlU3r962+ZbgVMKep\nW1GSJGnAWL69HSJiAvAJYI2ImAEcDZwAXBIRY4AngD2r3a8FdgGmA68CB9RQZ0mSpD6v3ZCVmV94\ni007LGbfBA7uaqUkSZL6O2d8lyRJqoEhS5IkqQaGLEmSpBoYsiRJkmpgyJIkSaqBIUuSJKkGhixJ\nkqQaGLIkSZJqYMiSJEmqgSFLkiSpBoYsSZKkGhiyJEmSamDIkiRJqoEhS5IkqQaGLEmSpBoYsiRJ\nkmpgyJIkSaqBIUuSJKkGhixJkqQaGLIkSZJqYMiSJEmqgSFLkiSpBoYsSZKkGhiyJEmSarB8Vw6O\niMeBucBC4I3MbImI1YGLgRHA48CemflC16opSZLUv3RHS9Z2mTk6M1uq8hHAjZm5IXBjVZYkSRpQ\n6ugu3B04r1o+D/hcDdeQJEnq07oashL4fUTcGREHVuvWzMyZ1fIzwJpdvIYkSVK/06UxWcA2mflU\nRLwTuCEiHmzemJkZEbm4A6tQdiDAuuuu28VqSJIk9S1dasnKzKeqn7OAK4AtgWcjYi2A6uestzj2\njMxsycyWYcOGdaUakiRJfU6nQ1ZErBQRq7QuA58C7gOuAvardtsPuLKrlZQkSepvutJduCZwRUS0\nnue/MvN3EfFX4JKIGAM8AezZ9WpKkiT1L50OWZn5KLDpYtY/B+zQlUpJkiT1d874LkmSVANDliRJ\nUg0MWZIkSTUwZEmSJNXAkCVJklQDQ5YkSVINDFmSJEk1MGRJkiTVwJAlSZJUA0OWJElSDQxZkiRJ\nNTBkSZIk1cCQJUmSVANDliRJUg0MWZIkSTUwZEmSJNXAkCVJklQDQ5YkSVINDFmSJEk1MGRJkiTV\nwJAlSZJUA0OWJElSDQxZkiRJNTBkSZIk1cCQJUmSVIPaQlZEfDoiHoqI6RFxRF3XkSRJ6otqCVkR\nMQg4FdgZ2Bj4QkRsXMe1JEmS+qK6WrK2BKZn5qOZ+TpwEbB7TdeSJEnqc+oKWcOBJ5vKM6p1kiRJ\nA8LyvXXhiDgQOLAqvhwRD/VWXQaoNYC/9XYlpJr5OddA4Oe8563XkZ3qCllPAes0ldeu1v1dZp4B\nnFHT9dWOiJicmS29XQ+pTn7ONRD4Oe+76uou/CuwYUSsHxErAHsDV9V0LUmSpD6nlpaszHwjIr4G\nXA8MAs7OzGl1XEuSJKkvqm1MVmZeC1xb1/nVZXbVaiDwc66BwM95HxWZ2dt1kCRJWuZ4Wx1JkqQa\nGLIGmIg4OyJmRcR9vV0XqaMiYrWIuCwiHoyIByLiIxHxvYh4KiKmVI9dqn1HRMRrTevHN53ndxFx\nT0RMi4jx1d0pWreNrc4/LSL+szeep1R9rr+5hO3DIuL2iLg7IrbtxPn3j4hfVMuf824s9eq1ebLU\na84FfgGc38v1kJbGz4DfZea/VN9YfhuwE3ByZv54Mfs/kpmjF7N+z8x8KSICuAz4PHBRRGxHuSvF\nppk5PyLeWdPzkLpqB+DezPz3bjjX54BrgPu74VxaDFuyBpjMvAV4vrfrIXVURKwKfAw4CyAzX8/M\nFztzrsx8qVpcHlgBaB2U+n+BEzJzfrXfrC5VWloKETEuIv4nIiYBG1Xr3lu1vN4ZEX+KiPdHxGjg\nP4Hdq1baFSPi9IiYXLXAHtN0zscjYo1quSUiblrkmlsDnwV+VJ3rvT31fAcSQ5akvm59YDZwTtVF\n8quIWKna9rWImFp1g7+9+Zhq35sX7VKJiOuBWcBcSmsWwPuAbatumJsjYouan5MEQERsTplLcjSw\nC9D62TsDGJuZmwPfBE7LzCnAUcDFmTk6M18DxlUTkW4CfDwiNunIdTPzVsr8ld+qzvVItz4xAYYs\nSX3f8sCHgNMzczPgFeAI4HTgvZRfTjOBk6r9ZwLrVvseCvxXRPxT68kycydgLWAIsH3TNVYHtgK+\nBVxSdSlKddsWuCIzX61aWq8ChgJbA5dGxBTgl5TP7OLsGRF3AXcDHwAcY9WHGLIk9XUzgBmZeXtV\nvgz4UGY+m5kLM/NN4ExgS4DMnJ+Zz1XLdwKPUFqq/i4z5wFXUsZhtV7jN1ncAbxJuR+c1BuWA16s\nWphaHyMX3Ski1qe0cu2QmZsAv6UENIA3aPyOH7roseoZhixJfVpmPgM8GREbVat2AO6PiOa/7PcA\n7oO/f/tqULX8HmBD4NGIWLn1mIhYHvgM8GB1/H8D21Xb3kcZr+UNd9UTbgE+V42vWgXYDXgVeCwi\nPg8QxaaLOfafKC27cyJiTWDnpm2PA5tXy//nLa49F1il609Bb8WQNcBExATgNmCjiJgREWN6u05S\nB4wFLoyIqZTuweOB/4yIe6t12wGHVPt+DJhadbNcBhyUmc8DKwFXVftPoYzLap3e4WzgPdXUJhcB\n+6UzNasHZOZdwMXAPcB1lHv/AuwDjImIe4BpNFpdm4+9h9JN+CDwX8CfmzYfA/wsIiYDC9/i8hcB\n36rGLzrwvQbO+C5JklQDW7IkSZJqYMiSJEmqgSFLkiSpBoYsSZKkGhiyJEmSamDIkiRJqoEhS5Ik\nqQaGLEmSpBr8f4MoUqmH71ENAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x11336eb10>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAloAAAE/CAYAAACeim2eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x113409e50>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x113460110>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlMAAAE/CAYAAABin0ZUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\navj/sp9+cT1TLXUAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x11342acd0>"
]
}
],
"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