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{
"metadata": {
"name": "babynames.ipynb"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Baby names IPython notebook\n",
"===========================\n",
"\n",
"www.prooffreader.com\n",
"--------------------"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"source": [
"Create pandas dataframes from U.S. Social Security baby names database:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Python/Pandas script to analyze baby names database 1880-2012\n",
"#from the U.S. Social Security Administration\n",
"#\n",
"#By David Taylor Feb. 2014\n",
"#\n",
"#www.prooffreader.com (for blogged results)\n",
"#\n",
"#prooffreaderplus.blogspot.com (for scripts, calculations, links, gits, etc.)\n",
"#\n",
"#Disclaimer: not a professional programmer, more interested right now in results in a reasonable time.\n",
"# That said, constructive critique and suggestions are always totally welcome. I'm not proud.\n",
"# In particular, there is a lot of very needless duplication of boy and girl databases and code\n",
"# in loops that refer to them, when I could just subset a larger database every time,\n",
"# but I have enough memory in my computer and not enough in my head so I just found it easier\n",
"# to work in this inefficient fashion. Your mileage may vary.\n",
"# Note that I usually use column names instead of indexes, my brain just deals with them better\n",
"# right now, as I get more used to pandas I'm already starting to adapt.\n",
"# Also, sometimes I just print-dump everything to a csv file and work with it in Excel. Sorry!\n",
"\n",
"#Instructions:\n",
"#1. Download data set at (as of Feb. 2014) http://www.ssa.gov/OACT/babynames/names.zip\n",
"#2. Unzip into a working directory\n",
"#3. Change the working directory strings in this script.\n",
"\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import re as re\n",
"import scipy\n",
"import os\n",
"\n",
"os.chdir(\"C:/_Dropbox/Dropbox/py/babynames/yobs\") #change this to your working directory\n",
" \n",
"#read yob files, arrange into data frames and concatenate into one data frame\n",
"#this portion taken from O'Reilly's Python for Data Analysis (2009)\n",
"years = range(1880, 2013) #remember in python a 2013 upper bound means the last value used will be 2012\n",
"pieces = []\n",
"yobcolumns = ['name', 'sex', 'births']\n",
"for year in years:\n",
" path = 'yob%d.txt' % year\n",
" frame = pd.read_csv(path, names=yobcolumns)\n",
" frame['year'] = year\n",
" pieces.append(frame)\n",
"df = pd.concat(pieces, ignore_index=True)\n",
"\n",
"os.chdir(\"C:/_Dropbox/Dropbox/py/babynames/\") #change this to your working directory\n",
"\n",
"#add column 'pct' that is the number of births of that name and sex in that year\n",
"#divided by the total number of births of that sex in that year, multiplied by\n",
"#100 to turn into a percentage and reduce all those leading zeroes\n",
"def add_pct(group):\n",
" births = group.births.astype(float)\n",
" group['pct'] = (births / births.sum() * 100)\n",
" return group\n",
"df = df.groupby(['year', 'sex']).apply(add_pct)\n",
"\n",
"#add rank of each name each year each sex\n",
"df['ranked'] = df.groupby(['year', 'sex'])['births'].rank(ascending=False)\n",
"\n",
"#subset girls and boys\n",
"dff = df[df.sex == 'F']\n",
"dfm = df[df.sex == 'M']\n",
"\n",
"#create names dataframe. This DF discards individual birth or pct values, and instead collects data on unique names.\n",
"#There is one row per unique combination of name and sex.\n",
"temp_count = pd.DataFrame(data=dff['name'].value_counts(), columns=['year_count'])\n",
"temp_min = pd.DataFrame(data=dff.groupby('name').year.min(), columns = ['year_min'])\n",
"temp_max = pd.DataFrame(data=dff.groupby('name').year.max(), columns = ['year_max'])\n",
"temp_pctsum = pd.DataFrame(data=dff.groupby('name').pct.sum(), columns = ['pct_sum'])\n",
"temp_pctmax = pd.DataFrame(data=dff.groupby('name').pct.max(), columns = ['pct_max'])\n",
"temp_f = temp_count.join(temp_min)\n",
"temp_f = temp_f.join(temp_max)\n",
"temp_f = temp_f.join(temp_pctsum)\n",
"temp_f = temp_f.join(temp_pctmax)\n",
"temp_f['sex'] = \"F\"\n",
"temp_f.reset_index(inplace=True, drop=False)\n",
"temp_f.columns = ['name', 'year_count', 'year_min', 'year_max', 'pct_sum', 'pct_max', 'sex']\n",
"temp_f = temp_f[['name', 'sex', 'year_count', 'year_min', 'year_max', 'pct_sum', 'pct_max']]\n",
"temp_count = pd.DataFrame(data=dfm['name'].value_counts(), columns=['year_count'])\n",
"temp_min = pd.DataFrame(data=dfm.groupby('name').year.min(), columns = ['year_min'])\n",
"temp_max = pd.DataFrame(data=dfm.groupby('name').year.max(), columns = ['year_max'])\n",
"temp_pctsum = pd.DataFrame(data=dfm.groupby('name').pct.sum(), columns = ['pct_sum'])\n",
"temp_pctmax = pd.DataFrame(data=dfm.groupby('name').pct.max(), columns = ['pct_max'])\n",
"temp_m = temp_count.join(temp_min)\n",
"temp_m = temp_m.join(temp_max)\n",
"temp_m = temp_m.join(temp_pctsum)\n",
"temp_m = temp_m.join(temp_pctmax)\n",
"temp_m['sex'] = \"M\"\n",
"temp_m.reset_index(inplace=True, drop=False)\n",
"temp_m.columns = ['name', 'year_count', 'year_min', 'year_max', 'pct_sum', 'pct_max', 'sex']\n",
"temp_m = temp_m[['name', 'sex', 'year_count', 'year_min', 'year_max', 'pct_sum', 'pct_max']]\n",
"names = pd.concat([temp_f, temp_m], ignore_index=True)\n",
"\n",
"# create years dataframe. This DF discards individual name data, aggregating by year.\n",
"total = pd.DataFrame(df.pivot_table('births', rows='year', cols = 'sex', aggfunc=sum))\n",
"total.reset_index(drop=False, inplace=True)\n",
"total.columns = ['year', 'births_f', 'births_m']\n",
"total['births_t'] = total.births_f + total.births_m\n",
"newnames = pd.DataFrame(data=names.groupby('year_min').year_min.count(), columns = ['firstyearcount'])\n",
"newnames.reset_index(drop=False, inplace=True)\n",
"newnames.columns = ['year', 'new_names']\n",
"uniquenames = pd.DataFrame(columns=['year', 'unique_names'])\n",
"for yr in range(1880, 2013):\n",
" uniquenames = uniquenames.append(pd.DataFrame([{'year':yr, 'unique_names':len(unique(df[df.year == yr].name))}]), ignore_index=True)\n",
"years = pd.merge(left=total, right=newnames, on='year', right_index=False, left_index=False)\n",
"years = pd.merge(left=years, right=uniquenames, on='year', right_index=False, left_index=False)\n",
"\n",
"#births dataframes, just the number of births per year\n",
"births = df.pivot_table('births', rows='year', cols='sex', aggfunc=sum)\n",
"births_f = dff.pivot_table('births', rows='year', cols='sex', aggfunc=sum)\n",
"births_m = dfm.pivot_table('births', rows='year', cols='sex', aggfunc=sum)\n",
"\n",
"# It takes my $400 Acer desktop computer about 15 seconds for this cell. If you want to compare, put the following, uncommented,\n",
"# as the first line:\n",
"# %%timeit"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Some custom functions to help exploration:\n",
"\n",
"def headtail(df, num = 5):\n",
" \"\"\" Returns concatenated head and tail of dataframe\n",
" arguments: dataframe, integer number of rows in each of head and tail \"\"\"\n",
" return pd.concat([df.head(num), df.tail(num)], ignore_index=False)\n",
"\n",
"def subset(df, returncol='', searchval = '', searchcol = ''):\n",
" \"\"\" Returns dataframe in first argument\n",
" with column named in second argument (or entire row if omitted)\n",
" and value named in third argument (or entire column(s) if omitted\n",
" found in column named in fourth argument (or second argument if omitted)\"\"\"\n",
" if returncol == '':\n",
" if searchval <> '' and searchcol <> '':\n",
" return df[df[searchcol] == searchval]\n",
" else:\n",
" return 'Error in argument formulation' \n",
" else:\n",
" if searchval == '':\n",
" if searchcol == '':\n",
" return df[returncol]\n",
" else:\n",
" return 'Error in argument formulation'\n",
" else:\n",
" if searchcol == '':\n",
" return df[df[returncol] == searchval][returncol]\n",
" else:\n",
" return df[df[searchcol] == searchval][returncol]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Overview of primary dataframes:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Main dataframe of SSA data:\n",
"headtail(df)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>name</th>\n",
" <th>sex</th>\n",
" <th>births</th>\n",
" <th>year</th>\n",
" <th>pct</th>\n",
" <th>ranked</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0 </th>\n",
" <td> Mary</td>\n",
" <td> F</td>\n",
" <td> 7065</td>\n",
" <td> 1880</td>\n",
" <td> 7.764334</td>\n",
" <td> 1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1 </th>\n",
" <td> Anna</td>\n",
" <td> F</td>\n",
" <td> 2604</td>\n",
" <td> 1880</td>\n",
" <td> 2.861759</td>\n",
" <td> 2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2 </th>\n",
" <td> Emma</td>\n",
" <td> F</td>\n",
" <td> 2003</td>\n",
" <td> 1880</td>\n",
" <td> 2.201268</td>\n",
" <td> 3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3 </th>\n",
" <td> Elizabeth</td>\n",
" <td> F</td>\n",
" <td> 1939</td>\n",
" <td> 1880</td>\n",
" <td> 2.130933</td>\n",
" <td> 4</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4 </th>\n",
" <td> Minnie</td>\n",
" <td> F</td>\n",
" <td> 1746</td>\n",
" <td> 1880</td>\n",
" <td> 1.918829</td>\n",
" <td> 5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1758725</th>\n",
" <td> Zylin</td>\n",
" <td> M</td>\n",
" <td> 5</td>\n",
" <td> 2012</td>\n",
" <td> 0.000266</td>\n",
" <td> 13166</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1758726</th>\n",
" <td> Zymari</td>\n",
" <td> M</td>\n",
" <td> 5</td>\n",
" <td> 2012</td>\n",
" <td> 0.000266</td>\n",
" <td> 13166</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1758727</th>\n",
" <td> Zyrin</td>\n",
" <td> M</td>\n",
" <td> 5</td>\n",
" <td> 2012</td>\n",
" <td> 0.000266</td>\n",
" <td> 13166</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1758728</th>\n",
" <td> Zyrus</td>\n",
" <td> M</td>\n",
" <td> 5</td>\n",
" <td> 2012</td>\n",
" <td> 0.000266</td>\n",
" <td> 13166</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1758729</th>\n",
" <td> Zytaevius</td>\n",
" <td> M</td>\n",
" <td> 5</td>\n",
" <td> 2012</td>\n",
" <td> 0.000266</td>\n",
" <td> 13166</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
" name sex births year pct ranked\n",
"0 Mary F 7065 1880 7.764334 1\n",
"1 Anna F 2604 1880 2.861759 2\n",
"2 Emma F 2003 1880 2.201268 3\n",
"3 Elizabeth F 1939 1880 2.130933 4\n",
"4 Minnie F 1746 1880 1.918829 5\n",
"1758725 Zylin M 5 2012 0.000266 13166\n",
"1758726 Zymari M 5 2012 0.000266 13166\n",
"1758727 Zyrin M 5 2012 0.000266 13166\n",
"1758728 Zyrus M 5 2012 0.000266 13166\n",
"1758729 Zytaevius M 5 2012 0.000266 13166"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print df.describe()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" births year pct ranked\n",
"count 1758730.000000 1758730.000000 1758730.000000 1758730.000000\n",
"mean 187.499369 1971.073360 0.015125 5114.759420\n",
"std 1590.400193 33.184493 0.125716 4316.878964\n",
"min 5.000000 1880.000000 0.000232 1.000000\n",
"25% 7.000000 1947.000000 0.000417 1728.000000\n",
"50% 12.000000 1980.000000 0.000790 3875.000000\n",
"75% 32.000000 1999.000000 0.002521 7395.000000\n",
"max 99685.000000 2012.000000 8.738268 19076.000000\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#for comparison with Dept of Health and Human Services database:\n",
"dhscompare = []\n",
"for yr in range(1910,2010):\n",
" dhscompare.append(yr)\n",
" dhscompare.append(subset(df, 'births', yr, 'year').sum())\n",
"dhscompare\n",
"#normally this would be better as a dict, but for brevity's sake I output as a list because the DHS data is in Excel\n",
"#and I already have an excel macro to parse a list like this."
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 5,
"text": [
"[1910,\n",
" 590696,\n",
" 1911,\n",
" 644242,\n",
" 1912,\n",
" 987950,\n",
" 1913,\n",
" 1136990,\n",
" 1914,\n",
" 1416254,\n",
" 1915,\n",
" 1832497,\n",
" 1916,\n",
" 1934414,\n",
" 1917,\n",
" 2006750,\n",
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" 1921,\n",
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]
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#verify that dff and dfm are just df split into sex == F and M, respectively.\n",
"\n",
"if len(df) == len(dff) + len(dfm):\n",
" print \"Dataframes add up correctly: \" + str(len(dff)) + \" girls + \" + str(len(dfm)) + \" boys = \" + str(len(df)) + \" total.\"\n",
"else:\n",
" print \"Dataframes do not add up: \" + str(len(dff)) + \" girls + \" + str(len(dfm)) + \" boys != \" + str(len(df)) + \" total; difference - \" + str(len(df) - len(dfm) - len(dff))\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Dataframes add up correctly: 1043165 girls + 715565 boys = 1758730 total.\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#names dataframe\n",
"#there are 101260 unique name-sex combinations; e.g., \"Jeon\" for a boy occurred once only, in 1999.\n",
"#births and pct and rank have been discarded, but can easily be looked up from df or dfm.\n",
"headtail(names)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>name</th>\n",
" <th>sex</th>\n",
" <th>year_count</th>\n",
" <th>year_min</th>\n",
" <th>year_max</th>\n",
" <th>pct_sum</th>\n",
" <th>pct_max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0 </th>\n",
" <td> Georgianna</td>\n",
" <td> F</td>\n",
" <td> 133</td>\n",
" <td> 1880</td>\n",
" <td> 2012</td>\n",
" <td> 1.047215</td>\n",
" <td> 0.031525</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1 </th>\n",
" <td> Winifred</td>\n",
" <td> F</td>\n",
" <td> 133</td>\n",
" <td> 1880</td>\n",
" <td> 2012</td>\n",
" <td> 6.207711</td>\n",
" <td> 0.141134</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2 </th>\n",
" <td> Joan</td>\n",
" <td> F</td>\n",
" <td> 133</td>\n",
" <td> 1880</td>\n",
" <td> 2012</td>\n",
" <td> 37.098464</td>\n",
" <td> 1.972498</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3 </th>\n",
" <td> Miriam</td>\n",
" <td> F</td>\n",
" <td> 133</td>\n",
" <td> 1880</td>\n",
" <td> 2012</td>\n",
" <td> 8.853062</td>\n",
" <td> 0.149273</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4 </th>\n",
" <td> Alva</td>\n",
" <td> F</td>\n",
" <td> 133</td>\n",
" <td> 1880</td>\n",
" <td> 2012</td>\n",
" <td> 1.165021</td>\n",
" <td> 0.031943</td>\n",
" </tr>\n",
" <tr>\n",
" <th>101256</th>\n",
" <td> Zelda</td>\n",
" <td> M</td>\n",
" <td> 1</td>\n",
" <td> 1932</td>\n",
" <td> 1932</td>\n",
" <td> 0.000479</td>\n",
" <td> 0.000479</td>\n",
" </tr>\n",
" <tr>\n",
" <th>101257</th>\n",
" <td> Schell</td>\n",
" <td> M</td>\n",
" <td> 1</td>\n",
" <td> 1962</td>\n",
" <td> 1962</td>\n",
" <td> 0.000338</td>\n",
" <td> 0.000338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>101258</th>\n",
" <td> Aadvik</td>\n",
" <td> M</td>\n",
" <td> 1</td>\n",
" <td> 2012</td>\n",
" <td> 2012</td>\n",
" <td> 0.000320</td>\n",
" <td> 0.000320</td>\n",
" </tr>\n",
" <tr>\n",
" <th>101259</th>\n",
" <td> Mikequan</td>\n",
" <td> M</td>\n",
" <td> 1</td>\n",
" <td> 1995</td>\n",
" <td> 1995</td>\n",
" <td> 0.000263</td>\n",
" <td> 0.000263</td>\n",
" </tr>\n",
" <tr>\n",
" <th>101260</th>\n",
" <td> Jeon</td>\n",
" <td> M</td>\n",
" <td> 1</td>\n",
" <td> 1999</td>\n",
" <td> 1999</td>\n",
" <td> 0.000261</td>\n",
" <td> 0.000261</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 7,
"text": [
" name sex year_count year_min year_max pct_sum pct_max\n",
"0 Georgianna F 133 1880 2012 1.047215 0.031525\n",
"1 Winifred F 133 1880 2012 6.207711 0.141134\n",
"2 Joan F 133 1880 2012 37.098464 1.972498\n",
"3 Miriam F 133 1880 2012 8.853062 0.149273\n",
"4 Alva F 133 1880 2012 1.165021 0.031943\n",
"101256 Zelda M 1 1932 1932 0.000479 0.000479\n",
"101257 Schell M 1 1962 1962 0.000338 0.000338\n",
"101258 Aadvik M 1 2012 2012 0.000320 0.000320\n",
"101259 Mikequan M 1 1995 1995 0.000263 0.000263\n",
"101260 Jeon M 1 1999 1999 0.000261 0.000261"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print names.describe()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" year_count year_min year_max pct_sum pct_max\n",
"count 101261.000000 101261.000000 101261.000000 101261.000000 101261.000000\n",
"mean 17.368286 1970.788675 1996.402603 0.262688 0.008826\n",
"std 26.002521 36.164306 23.476958 4.739686 0.104103\n",
"min 1.000000 1880.000000 1880.000000 0.000232 0.000232\n",
"25% 2.000000 1951.000000 1991.000000 0.000599 0.000344\n",
"50% 6.000000 1983.000000 2008.000000 0.002548 0.000556\n",
"75% 21.000000 1999.000000 2012.000000 0.013662 0.001301\n",
"max 133.000000 2012.000000 2012.000000 558.006916 8.738268\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#years dataframe\n",
"headtail(years)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>year</th>\n",
" <th>births_f</th>\n",
" <th>births_m</th>\n",
" <th>births_t</th>\n",
" <th>new_names</th>\n",
" <th>unique_names</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0 </th>\n",
" <td> 1880</td>\n",
" <td> 90993</td>\n",
" <td> 110491</td>\n",
" <td> 201484</td>\n",
" <td> 2000</td>\n",
" <td> 1889</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1 </th>\n",
" <td> 1881</td>\n",
" <td> 91955</td>\n",
" <td> 100746</td>\n",
" <td> 192701</td>\n",
" <td> 310</td>\n",
" <td> 1830</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2 </th>\n",
" <td> 1882</td>\n",
" <td> 107850</td>\n",
" <td> 113687</td>\n",
" <td> 221537</td>\n",
" <td> 302</td>\n",
" <td> 2012</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3 </th>\n",
" <td> 1883</td>\n",
" <td> 112322</td>\n",
" <td> 104630</td>\n",
" <td> 216952</td>\n",
" <td> 195</td>\n",
" <td> 1962</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4 </th>\n",
" <td> 1884</td>\n",
" <td> 129022</td>\n",
" <td> 114445</td>\n",
" <td> 243467</td>\n",
" <td> 233</td>\n",
" <td> 2158</td>\n",
" </tr>\n",
" <tr>\n",
" <th>128</th>\n",
" <td> 2008</td>\n",
" <td> 1886109</td>\n",
" <td> 2035075</td>\n",
" <td> 3921184</td>\n",
" <td> 2047</td>\n",
" <td> 32474</td>\n",
" </tr>\n",
" <tr>\n",
" <th>129</th>\n",
" <td> 2009</td>\n",
" <td> 1831382</td>\n",
" <td> 1977632</td>\n",
" <td> 3809014</td>\n",
" <td> 1787</td>\n",
" <td> 32203</td>\n",
" </tr>\n",
" <tr>\n",
" <th>130</th>\n",
" <td> 2010</td>\n",
" <td> 1770632</td>\n",
" <td> 1911572</td>\n",
" <td> 3682204</td>\n",
" <td> 1634</td>\n",
" <td> 31581</td>\n",
" </tr>\n",
" <tr>\n",
" <th>131</th>\n",
" <td> 2011</td>\n",
" <td> 1750078</td>\n",
" <td> 1889557</td>\n",
" <td> 3639635</td>\n",
" <td> 1534</td>\n",
" <td> 31388</td>\n",
" </tr>\n",
" <tr>\n",
" <th>132</th>\n",
" <td> 2012</td>\n",
" <td> 1743626</td>\n",
" <td> 1877705</td>\n",
" <td> 3621331</td>\n",
" <td> 1506</td>\n",
" <td> 31109</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 9,
"text": [
" year births_f births_m births_t new_names unique_names\n",
"0 1880 90993 110491 201484 2000 1889\n",
"1 1881 91955 100746 192701 310 1830\n",
"2 1882 107850 113687 221537 302 2012\n",
"3 1883 112322 104630 216952 195 1962\n",
"4 1884 129022 114445 243467 233 2158\n",
"128 2008 1886109 2035075 3921184 2047 32474\n",
"129 2009 1831382 1977632 3809014 1787 32203\n",
"130 2010 1770632 1911572 3682204 1634 31581\n",
"131 2011 1750078 1889557 3639635 1534 31388\n",
"132 2012 1743626 1877705 3621331 1506 31109"
]
}
],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print years.describe()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" year births_f births_m births_t new_names unique_names\n",
"count 133.00000 133.000000 133.000000 133.000000 133.000000 133.000000\n",
"mean 1946.00000 1229499.000000 1249905.248120 2479404.248120 761.360902 12052.827068\n",
"std 38.53786 644533.683153 739035.563215 1382297.397633 637.666524 8597.344768\n",
"min 1880.00000 90993.000000 100746.000000 192701.000000 103.000000 1830.000000\n",
"25% 1913.00000 624463.000000 512527.000000 1136990.000000 215.000000 6263.000000\n",
"50% 1946.00000 1457578.000000 1559084.000000 3017152.000000 467.000000 9516.000000\n",
"75% 1979.00000 1770632.000000 1902493.000000 3675594.000000 1208.000000 17325.000000\n",
"max 2012.00000 2044078.000000 2155767.000000 4199845.000000 2189.000000 32474.000000\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Make dataframe and graphs of top-ranked name for girls and boys, 1880-2012"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Make dataframe and graph of first-ranked\n",
"rank1m = dfm[dfm.ranked == 1]\n",
"rank1f = dff[dff.ranked == 1]\n",
"zeroline = scipy.zeros(len(range(1880, 2013)))\n",
"figure(num=None, figsize=(15, 6), dpi=150, facecolor='w', edgecolor='k')\n",
"plt.plot(rank1m.year, rank1m.pct, color=\"blue\", linewidth = 2, label = 'Boys')\n",
"plt.fill_between(rank1m.year, rank1m.pct, color=\"blue\", alpha = 0.1, interpolate=True)\n",
"plt.xlim(1880,2012)\n",
"plt.ylim(0,9)\n",
"plt.xticks(scipy.arange(1880,2012,10))\n",
"plt.title(\"Popularity of #1 boys' name by year\", size=18, color=\"blue\")\n",
"plt.xlabel('Year', size=15)\n",
"plt.ylabel('% of male births', size=15)\n",
"plt.show()\n",
"plt.close()\n",
"figure(num=None, figsize=(15, 6), dpi=150, facecolor='w', edgecolor='k')\n",
"plt.plot(rank1f.year, rank1f.pct, color=\"red\", linewidth = 2, label = 'Girls')\n",
"plt.fill_between(rank1f.year, rank1f.pct, color=\"red\", alpha = 0.1, interpolate=True)\n",
"plt.xlim(1880,2012)\n",
"plt.ylim(0,9)\n",
"plt.xticks(scipy.arange(1880,2012,10))\n",
"plt.title(\"Popularity of #1 girls' name by year\", size=18, color=\"red\")\n",
"plt.xlabel('Year', size=15)\n",
"plt.ylabel('% of female births', size=15)\n",
"plt.show()\n",
"plt.close()\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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FuJiioqIoWbIkISEh3HbbbVaQAlyaioqyLpb798O+fbBnj/08cACuXIGCBW1b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\ncGEbKzdgAOTN69saJfNQgBMRERER8ZCoKPjuO3j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"text": [
"<matplotlib.figure.Figure at 0x12793e80>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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atgVu3VI7WiIiIiIiUoFeCdyECRMQHh7+5vqkSZNw6NAh+Pn54aeffsLs2bNN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\n7xMAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x127950b8>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Check assignments of names into boys and girls categories\n",
"---------------------------------------------------------"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# make graphs of gender miscategorizations for all names that were #1 ranked in any year\n",
"\n",
"namelist = list(rank1m.name.unique()) + list(rank1f.name.unique())\n",
"\n",
"for nm in namelist:\n",
" f_or_m = df[df.name == nm]\n",
" f_or_m = pd.pivot_table(f_or_m, 'pct', rows=['year'], cols='sex')\n",
" f_or_m = pd.DataFrame(f_or_m)\n",
" f_or_m = f_or_m.dropna()\n",
" f_or_m['temp'] = f_or_m.F / f_or_m.M\n",
" f_or_m['sex_max'] = f_or_m['temp'].apply(lambda x: 'F' if x >= 1 else 'M')\n",
" f_or_m['temp2'] = f_or_m['sex_max'].apply(lambda x: -1 if x =='F' else 1)\n",
" f_or_m['pctratio'] = 100 * (f_or_m.temp ** f_or_m.temp2)\n",
" y2 = f_or_m.pctratio\n",
" y1 = f_or_m[f_or_m.iloc[0]['sex_max']]\n",
" x = f_or_m.index\n",
" \n",
" if f_or_m.iloc[0]['sex_max'] == 'M':\n",
" sexvar = 'female'\n",
" else:\n",
" sexvar = 'male'\n",
"\n",
" figure(num=None, figsize=(6,4), dpi=150, facecolor='w', edgecolor='k')\n",
" \n",
" plt.subplot(211)\n",
" plt.xlim(1880,2012)\n",
" plt.xticks([])\n",
" plt.ylabel('% of all births', size=10)\n",
" \n",
" if y1[[1980, 1985, 1990, 1995, 2000, 2005, 2010]].max() / y1.max() < 0.5: #puts name on the left if name was popular in year 2000\n",
" plt.annotate(nm, xy=(.96, .92), xycoords='axes fraction', size = 17, horizontalalignment='right', verticalalignment='top')\n",
" else:\n",
" plt.annotate(nm, xy=(.05, .92), xycoords='axes fraction', size = 17, horizontalalignment='left', verticalalignment='top')\n",
"\n",
" plt.plot(x, y1, color='black', linewidth = 2, label = '2')\n",
" \n",
" plt.subplot(212)\n",
" plt.xlim(1880,2012)\n",
" plt.ylabel('% ' + nm + ' ' + sexvar, size=10)\n",
" plt.plot(x, y2, color='green', linewidth = 2, label = '2')\n",
" plt.savefig('fm_' + nm + '.png')\n",
" plt.show()\n",
" plt.close()\n",
"\n",
"# Note: algorithm does not work for Ashley, because it changed from a male to a female name (see below)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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/f56jR48q8oO1tTUDBgygf//+9O3bFxMTEzVHq14qS/ynT59m7dq1aGlp8dFH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\neucNAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7aa9c88>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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rV8La2pqvHWNjYzx//hxWVlZwd3fnK8tcUlICT09PhIaGoqysDBUVFRgwYAAm\nTZqEZ8+eYcaMGUhNTUXbtm0RExPzzQtMXr58iTNnzmDGjBno0aPHN7VBUc1VaGgoVqxYgaCgIACA\nnJwcxo4di+nTp2Ps2LH0fpcIiCzxFxcX4/bt21i2bBm2bNlSJfHPmTNH6LZev36NUaNGITIyEoqK\ninztcLlcFBQUfFMVwIyMDOzbtw8TJ06Eubl5ra+nKKp+EEIQEBCA7du34/bt22y+UFFRwaRJkzBj\nxgxYW1tDWlpazJE2DSIv2RAREQETE5Nvvp7D4cDKygobN27EhAkT+I7RjVgoqulJSUnBhQsXcPbs\nWYSGhrLPt2/fHk5OTujQoQMYhoGKigq6d++OHj160HIQAjT4Rizp6enw8PCAl5cXAGD8+PFYuXIl\nNDU1BV5bVlaGsWPHYsyYMVixYkXVIBvJAi6Kor7Ny5cvcfbsWZw5c+ar+/laWVlh9erVsLW1hZSU\nRGwZLtFE3uP/4YcfoKmpifnz5wMAjh8/jvT0dOzevfur1xFCMGfOHLRp0wYeHh7VnkMTP0U1D4QQ\nBAUFwcvLC0VFRSCEIDs7G3FxcYiOjkZxcTEAwMDAAG5ubrSciQAiT/y9e/fGs2fP2O95G6h//lx1\nAgMDMWTIEBgbG7Ozd7Zv3w5bW1uBwVMU1Xzk5ubiyJEj2LNnD96/fw8A0NLSwtixY9GjRw8YGhqi\nb9++dDjoMyJP/MuXL0eHDh3w3XffgRCCU6dO4d27d9i7d2+d26aJn6IontLSUpw/fx47d+5kix9+\nrkePHnB0dMSqVaua/ZaQIk/8KSkp2LlzJ27evAmgcpqnm5sb396534omfoqivkQIQXBwMMLDwxEb\nG4vw8HCEhYWxizDbtm2LjRs3wt7evl7yUGNEt16kKKrJKy0tRUBAADZs2IBHjx6xz+vr62Py5MlY\ns2ZNsxoKoomfoqhmgxCCS5cu4ejRowgODkZ+fj4AoFWrVli3bh1cXV2bxU1hmvgpimqWysvL8fDh\nQ7i7u7M1gwwMDHDs2DFYWlqKOTrRqil30omwFEU1aTIyMhg8eDDu3buHmzdvomvXroiOjsaAAQOw\nZMkSpKWliTvEBlfvif/58+dwcnKCnZ0d7t27V9/NUxRFfROGYWBra4tnz57hxx9/hJSUFA4ePIgu\nXbpg7dq14HA44g6xwdR5qCctLY1ve7V58+Zh9+7dYBgGNjY2CAkJqXuQdKiHoqh6FhkZiZ9++gnX\nr18HAPTymDhyAAAgAElEQVTq1QvXr19Hly5dxBxZ/RHZUM/ChQuxZcsWdkVdu3btcP78eVy4cEGo\ncg0URVHiYGRkhGvXruHRo0fo2bMnoqKiYGFhAR8fnybf0axz4r927RpMTU0xbtw4nD59Gu7u7tDS\n0oKCggL++usvodr47rvv0LZtWxgZGdU1HIqiqFrp27cvQkJCMG7cOHz48AHjxo2DsbExDh48iMLC\nQnGHJxL1MsZvZ2cHX19ffPz4EePHj0fr1q0xc+ZMqKioCHX9vHnzcOvWrfoIhaIoqtZUVFRw7do1\nbN++HZqamnjx4gWWLFmCbt264cyZM+ByueIOsV7VOfHfv38fEydOhKOjI/r3748LFy7g2rVrmDZt\nGuLj44VqY/Dgwc1qUQVFUZJHWloaa9euRVJSEi5cuAAzMzO8f/8es2fPRt++feHv7y/uEOtPrXbu\nrYalpSXJzc0lKSkpZPjw4ezzL1++JFOnThW6nYSEBGJoaFjtsXoIk6IoqlYqKirIqVOnSPv27QkA\nAoDY29uTBw8ekNLSUnGHJ5SacmedZ/VMmDABdnZ2yMvLQ1RUVI372QqSmJgIOzu7aosu0Y1YKIoS\nl4KCAuzatQs7duxgx/yVlZUxZswYuLq6YsCAAWKO8JMG24glLy8PXl5ekJeXx+jRo6GgoPBN7QhK\n/HUMk6Ioqk5SUlKwd+9e+Pj4ICoqin2etxBswoQJfFvGSgKJL9lAEz9FUY1FYmIijhw5gj/++AMf\nPnwAACgqKrL7Bg8fPhwyMjJijlLCE7+TkxP8/f2RnZ0NTU1NbNmyBfPmzWOP08RPUZQkys/Px5kz\nZ/DXX38hODiYfb5t27aYMWMG5s+fDwMDA7HFJ9GJXxCa+CmKknTx8fE4e/Ys/vrrL7x8+ZJ9vm/f\nvpgyZQrs7e0bfFUwTfwURVENgBCCx48f48SJEzh37hzy8vLYY126dIGlpSUsLS0xfPhw9OjRg91y\nVhRo4qcoimpghYWFuHHjBq5cuQIfHx++PwIA0KFDB4wcORIjR47EiBEjoKGhUa+vTxM/RVGUGJWV\nleHFixd49OgR/v33X9y9excZGRl85+jp6cHMzAympqbsQ0tL65s/FdDET1EUJUG4XC4iIyNx+/Zt\n3LlzB4GBgSgqKqpynqamJszMzGBoaAg9PT106tQJFhYWQn06oImfoihKgpWXlyMuLg5Pnz5FeHg4\n+8jNza32fGNjY5iamkJGRgbS0tLQ09ODkZERunTpAmlpaUhJSaFr16408VMURTUmhBAkJCQgPDwc\nL1++RGJiIuLi4vDo0SO2FL4wbXyJJn6KoqhGpri4GCEhIYiPjwchBCUlJXj16hUiIyORnJwMLpcL\nQgh7/Es08VMURTVREr3ZekBAAHr27ImuXbti37594g6HoiiqSZOIHr+pqSn27t0LXV1d2NjYIDAw\nEG3atGGP0x4/RVFU7Ulsj593x3rIkCHQ1dXFqFGj8OjRIzFHRVEU1XSJPfE/efIEPXr0YL83MDBA\nSEiIGCOiKIpq2sRfN1QIvXv3Fmk9C4qiqKaod+/e1T4v9sRvYWGB1atXs99HRUXB1taW75yIiIiG\nDouiKKrJEvtQj6qqKoDKmT2JiYm4c+cO+vXrJ+aoKIqimi6x9/gBYM+ePXBxcUFZWRlcXV35ZvRQ\nFEVR9UsipnNSFEVRDUfsQz0URVFUw6KJn6IoqpmhiZ+iKKqZoYmfoiiqmaGJn6IoqpmhiZ+iKKqZ\noYmfoiiqmaGJn6IoqpmhiZ+iKKqZoYmfoiiqmaGJn6IoqpkRaeIXtJcuh8PBqlWrYGJigv79+yM+\nPl6U4VAURVEQceJfvnw5Dh8+jLt37+LAgQPIysriO37u3DmUlZUhIiICHh4eWLNmjSjDoSiKoiDC\nxC/MXrr379/H2LFjAQD9+/fH69evRRUORVEU9R+RJX5h9tK1sbHBuXPnUFRUhH/++QeRkZFISEgQ\nVUgURVEUxLwRy7Rp05CcnIyhQ4eie/fu6Nq1K+Tk5Kqcp6+vT8f/KYqiaql3797Vb11LROTjx4/E\nxMSE/X7p0qXE29u7xvM5HA7p3bt3tcdEGGaDc3d3F3cI9aKpvA9C6HuRVE3lvYjzfdSUO0U21CPM\nXrq5ubkoLS1FYWEhtm/fjpEjR4oqHIqiKOo/Ih3qqW4v3cOHDwMAXFxcEB0djblz54LL5aJ///44\ndOiQKMOhKIqiIOLEP3ToUMTExPA95+Liwn7dv39/xMXFiTIEiWNlZSXuEOpFU3kfAH0vkqqpvBdJ\nfB+NYrN1hmHQCMKkKIqSKDXlTlqygaKoRuVd7jsEvgsUdxiNmlhLNhQVFWHOnDkwNTXF0KFDcf36\ndVGGQ1FUE+B02QmDTwzGo+RH1R5P+JAATgmngaNqXMRasuHUqVNQVFREeHg4Tp8+jZUrV9IhHYpq\nRnKKcrAjcAfS8tOEOr+orAiP3z8GABx9erTK8Vuvb6Hrvq4Yc3YMzSVfIdaSDaqqquBwOCgrK0NO\nTg4UFBTAMIyoQqIoSsJs/3c71t5bizGeY1BYVijw/Gfpz1DOLQcAXIi6gILSAvbYmw9vMP3ydFSQ\nCgS+C8T9hPsii7uxE2vJBicnJ1RUVKBNmzYYNGgQPD09RRUORVEShhCCq7FXAQDhaeFw9nIW2EsP\nTQllv+aUcnA55jIAoLCsEJMuTMKH4g9oo9AGALA9cLuIIm/8hEr8paWlCAgIAAAUFhYiLy+vXl58\n//79kJGRQWpqKluwjcvl1kvbFEVJttisWMR/iIeqnCoUZRVxNvIsJv89GQOODYD6r+o4F3muyjW8\nxG+mZQYAOBFxAsXlxZh+eTqepT9DV7WuCHUOhXILZdxLuMcOC1H8BCb+K1euwNLSEvPmzQMAJCcn\nw97eXmDDFhYWiI2NZb+PioqCpaUl3zkBAQGYMWMGFBQU0K9fP2hra+Ply5fVtrdp0yb24efnJ/D1\nKYqSbNfjKidzTOwxEWfszwAArsRcwcPkh8gpysHB0INVrnmS8gQAsGPEDrSUaQm/RD8MPTkU1+Ou\no5V8K1yZdgW6rXSxqM8iAM2v1+/n58eXK2skqNbD8OHDSX5+Pl/dHUNDQ6HqRJiYmBB/f3+SkJBA\nunfvTjIzM/mOHzp0iCxZsoRUVFSQ+Ph4oq+vX207QoRJUVQj0/9of4JNIFeirxBCCDkXeY5svL+R\nXI25SqQ3SxPpzdLkY9FH9nxOCYcwmxgis0WGFJUVkZlXZhJsAsEmEK2dWuR52nP23FROKpHbKkew\nCSQmM6bB35ukqCl3CuzxMwwDBQUF9vvMzEyoq6sL9deHV7JhxIgRWLx4MVuygVe2wdHREdLS0ujT\npw8WLVqEvXv3CtUuRVGNW3p+OkKSQyAnLYeRXSprdDkaOmKz9WZM7DERlh0sUUEq+G7QhqeGg4DA\nSNMI8jLycDGvrALQVa0rgucHw6itEXtuO6V2mNJrCgDg7pu7DfjOGgeBJRumTp0KNzc3FBYW4tSp\nUzh9+jRmzZolVOOCSjaoqqrSZE9RzZD3S28QEAzvPBxKLZSqHLfpYoOgpCDcjr8N+56VQ8u88f0+\n2n0AAIN0BuHZwmfo3LpztW2YtTPDX8//QlRGlAjfSeMkMPF///338Pf3R2lpKR4/fowtW7Zg4MCB\nDREbRVFNBJdwEZIcgn/f/gtVeVX89fwvAMD4buOrPd9G3wYb/TbCN94XhBAwDMOO71toW7DnGbc1\nrvE1DTUNAQAvMl/U19toMgQmfoZhYGVlJZGFhiiKkmyEEOx6uAv7Hu/Du9x3VY7bdber9jpzLXOo\ntVRDwscEvM55ja7qXav0+AXppdkLABCVEcX+8aAq1Zj4jYyMajoEhmHw/PlzgY0HBATAxcUF5eXl\ncHV1xbJly/iO79y5k527X15ejpiYGGRlZaFVq1bCxk9RlAS7Hncdq++sBgB0UOkAu252KKsoQ3pB\nOgbpDIK2sna110lLSWNE5xG4GHURvvG+0FDUwKucV5CTlmN78oJoKWmhtXxrfCj+gNT81Bpfqzmq\nMfF7eXnVuXFeyQZdXV3Y2NjAyckJbdq0YY+7ubnBzc0NAODt7Y09e/bQpE9RTURJeQncblf+/94+\nfDvWDFwDKUb4NaM2XWxwMeoi/o7+GxFpldsHmrQzgay0rFDXMwyDXpq9EPguEFEZUTTxf6bGxK+n\np1enhj8v2QCALdkwduzYas8/e/YsnJyc6vSaFEU1vMB3gbgUfQnuQ93RumVr9vn9j/cj/kM8erTp\ngVX9V9Uq6QPAqC6jAAABbwMQ8LZyAel80/m1asNQwxCB7wLxIuMFO3uIEmIB17NnzzB9+nS0adMG\nMjIykJKSgoqKisCGhSnZwFNYWAhfX184ODjUInSqqSnnluPHOz9i2KlhSM9PF3c4lJDcbrth76O9\ncLjogNKKUgBAZkEmtgZsBQB4jPIQupf+uQ4qHWCtZw1pRhrTjaYjwiUCzubOtWqDHefPpDN7Pifw\n5u7WrVuxevVqxMTEIC4uDkeOHEFpaWm9BuHl5YVBgwbRYZ5mrLCsEI6XHOH1snKIce29tTgx4YSY\no6IE4ZRw2JuuDxIfYJH3IswxmYMVt1YgtyQXNl1sMLrr6G9u/8aMGygpL4GqvOo3Xc/O7MmgM3s+\nJzDxv3nzBv369YO0tDQUFRXx448/wsjICBs3bvzqdRYWFli9ejX7fVRUFGxtbas99/z58wKHeT5f\nfkxnGTUt+aX5GHlmJEKSQ9BavjXyS/NxMuIkFvVZhL7t+4o7POorgpKCUEEqoKuqi4yCDByPOI7j\nEccBVPbYfx/9e53al5eRh7yM/Ddf30vjU4+/Oczs8fPzE6qkjcDEr6SkhJKSEgwfPhxLliyBrq4u\ntLUF3yRRVa38Cx0QEAAdHR3cuXMH7u7uVc7Lzc1FQEAAzp49+9X2vlp3gmrUjoQdQUhyCHRUdXBr\nxi2cjDiJX4N/hetNVwTPD6712DDVcPwS/QAA03pNg2UHSzhcdEBL2Zb4ceCPcBvgBgVZha83IGIa\nihrQVNRERkEG3uW+g24rXbHGI2pfdoo3b95c7XkC/0edPn0aXC4XmzZtwuDBgyEtLY3jx48LFYSg\nkg0AcO3aNdjY2KBly5ZCtUk1LYQQHA2v3FBjj80e9NToiQ1DNqCdUjs8ev+IXehDSSb/t/4AACs9\nK9j3tEfMkhgkLE/AxqEbxZ70eT7v9VOV6GbrlFgFJwVj4PGBaKvYFkk/JLE3AU9GnMS86/NgoW2B\nx860tK4kyi/NR6tfKu/L5fyYAxU5wZM+xMH1piv2Pd6HHSN2YM3ANeIOp0F982brAQEBsLOzQ5s2\nbaCsrAxlZWWhZvVQlDCOPD0CAJhrMpdv5seknpMAVO64VFZRJpbYqK8Lelc5vm+ubS6xSR+gPf7q\nCEz8K1asgJubG1JSUsDhcMDhcOptIxaqecstzsWFFxcAAN+bfc93TEVOBV3VuqK0ohTRmdHiCI8S\ngDe+P1R3qHgDEYDO7KlKYOJXVVWFmZkZWrRo0RDxUM3IuRfnUFReBGs9a+ir6Vc5zttl6Wnq04YO\njRLC5+P7kqx7m+4AgPiceDFHIjkEJv4//vgDo0ePxsaNG7Fr1y7s2rULHh4eQjUeEBCAnj17omvX\nrti3b1+15zx58gQWFhbo2bMnnaLZzBwLPwagam+fh5f4w1LDGiwmSji5xbl4kvIEUowUBukMEnc4\nX6XeUh0tZVoityQXucW54g5HIghM/Bs2bIC8vDwqKiqQn5+P/Px8cDgcoRrn1eq5e/cuDhw4gKys\nLL7jhBB899132L59O2JiYnDp0qVvexdUoxOXFYfQlFCoyKnAvkf1W3nSHr9kuvHqBkwPm6KcW46+\n7ftK9Pg+UHmDkzeNMykvSczRSAaB8/gjIyMRGxtb64UPwtTqCQ0NhbGxMUaMGAEAfAXcqKbt3IvK\njbQn9ZyElrLVT+U1bWcKAIhIi0AFtwLSUtINFh/1SXp+OiZemIik3CQUlRchpygHAGCkaYQ/x/0p\n5uiEo6Oqg9isWLz9+Fbo6p5NmcAe/9SpU3H69GmUlJTUqmFhavX4+vqCYRgMHjwYdnZ28PX1rdVr\nUI0TIQRnIysX7E03nF7jeeoK6tBV1UVReRHisuMaKjzqC//E/YOQ5BC857xHTlHltE2PUR4IWxDG\nt92hJNNR0QGAavcEaI4E9vh3796NwsJCODs7Q05ODkDlR6f6mNlTXFyMiIgI3L17F4WFhRg5ciRe\nvHhR7WIuWrKh6QhLDcOrnFdoq9gW1p2sv3qumZYZ3ua+xdPUpzDQMGigCKnPPU+v3HvjpyE/wbWf\nK1TlVL+p6Jo46ag2j8RfbyUb8vPzvykAYWr19O/fHyUlJWjXrh0AoE+fPggICICNjU2V9mjJhqbj\nXGTlMM+0XtMgI/X1X0FzLXNcjb2Kp6lPMdN4ZkOER30hMiMSADCg4wC0UWicw7Fs4s9r2om/3ko2\nAMCjR4/wyy+/AADevXuHx48Fr6T8vFZPYmIi7ty5g379+vGdY2lpCX9/fxQWFiInJwfh4eF0P98m\nroJbgfNR5wEA041qHubhoTd4xYsQwvb4v7a/raTj3dxt6j1+YQns8f/888+IjIxEREQE1q5dCyUl\nJSxevBihoaECG+fV6ikrK4OrqytbqwcAXFxcoK6ujnnz5qFPnz7Q0NDAli1boKSkVPd3RUmsewn3\nkMJJQefWnYWqvPl54ucSLi3Y1sBSOCn4UPwBai3VoKWkJe5wvhmvx//241sxRyIZBCZ+Ly8vBAUF\nwdzcHACgpqYmdD3+oUOHIiYmhu85FxcXvu8XLVqERYsWCRsv1YhVcCuw9u5aAMB3Jt8JNVOsrVJb\naCtrI4WTgpjMGHZjDaphfN7bb8wljdsrtwcDBu8571HOLRc4xNjUCew+dejQgS/Rx8TEoFu3biIN\nqjol5bWbVURJnpMRJxGeFo4OKh3wQ/8fhL5uYMfK4b9hp4fhasxVUYVHVYM3vm+k2Thm79RETkYO\n7ZTagUu4SOGkiDscsROY+F1cXGBnZ4eMjAzMmzcPdnZ2WLJkSUPExoe3yw/VOOUW52Ld/XUAgN9G\n/larkr27bXbDSs8KGQUZmHRxElbfXi34IqpeNIXxfR46zv9JjYk/ISEBADBixAhcv34dv//+O8aM\nGYPIyEhYW399Ch6PoJINfn5+UFVVhampKUxNTbFt27Ya2+LVBaEap20B25BRkIGBHQdiWq9ptbq2\nvUp73Jt9D/tG74OslCx2PdzFJiRKtHg9/qaQ+JvLlE5h1Jj4J0+eDAAYPnw4FBQU4ODggClTptRq\nwxRBJRuAyvsA4eHhCA8Px4YNG2psK+BtgNCv25A+FH3AruBdyCjIEHcoEqu0ohR/hP4BANhru/eb\nxoqlGCks7bsUi/osAgHBhvs1/65Q9aOsogwxmTFgwLCljRszuojrkxrvcLRq1QqbNm1CXFwcPDw8\n+Ir5MwyDlStXfrVhYUo2ABB6g5WgpCD2pkx2YTYIiETMKT4Uegjr7q9DTlEO/jf8f+IORyIFJwWj\noKwAhpqGMNc2r1Nb6wavw7HwY/B66YXgpGAM6DignqKkvhSXHYcybhn01fSh2EJR3OHUGZ3Z80mN\nPf7Tp09DTU0NFRUV4HA4bIE2YYu0CVOygWEYBAcHw8TEBCtXrkR8fM1lU/NL8xGeGo780nyYHDaB\n0R9GKCor+moMJyNOYv71+ajgVgiM91s9S38GAIj/QEu+1uR2/G0AwKjOo+rcVlultlhhuQIAsO7e\nOrozmwjxhtMa+41dnuayiEsYNfb427dvD1dXV+jr62PMmDEieXEzMzMkJSVBVlYWp06dwvLly+Ht\n7V39yQ+A9e/Wg0u4SOYmA52Am69vsjs1Vef/7v0f0vLTsKTvEnY+eH3jbRJCq/7VjE38Xeqe+AHA\nbYAbDj45CP+3/jj34pxQC8Go2otMbzrj+0DzuLkrbMkGgbN6vjXpW1hYIDY2lv0+KioKlpaWfOco\nKytDQUEBsrKymD9/Pp48eVJzMThroGJoBZ71fAZ0qnzqQtSFGl8/LT8Naflp7NeiUM4tZ4uHJeXS\nxF+dzIJMPE19CjlpOQzWHVwvbbaSb4Wt1lsBAHOvzWX/sFD1IzgpGIdCD8HrpReAJtjjb8KJ38rK\nCps2bWIfNRHZMkhhSjakp6ezH9W9vLxgbGzMFoKrzv2E+8gqzEKPNpVDSN4vvVFQWlDtueGp4ezX\nokr88TnxKK2oXOPAWxhC8buXcA8EBIN1B9dqCqcgiy0W4wfLH1DGLYP9BXuEJIcIvogS6PdHv2Pg\n8YFY5LMIUZlRYMDU+b6MpGgt3xqKsorIK8lr9huyCEz8xcXFVZ4TtkQzr2TDiBEjsHjxYrZkA69s\nw6VLl2BkZAQTExNcunQJu3btqrEtXVVd9uvdNrth2cEShWWFuPHqRrXnh6eJPvF/vhcsl3CRykkV\nyes0ZvU5vv85hmGwc9ROzOk9B4VlhZh2aZpI7+U0B4kfE/F/9/4PADDDaAa2WG2B70xf6LXSE29g\n9YRhmE83eHOb9w1egeuWBwwYgKdP+Qtk9e/fv8pz1RFUsmHJkiVCLwYbojsEZ56fQb/2/WDTxQYx\nmTEISQ7BxeiLmNJrSpXzI9Ii2K8/T/wBbwNw7809bBy6sc4be0RlRvF9n5SXhI6qHevUZlNCCIFv\nfOUeC/U1vv85KUYKR8cfhf9bfyR+TMS/7/6V+P1fJRUhBIt9FqOwrBBTe03FX5P+EndIIqGjqoOY\nrBi8y33XZO5dfIsae/ypqakICwtDYWEhnj59irCwMDx9+hS3bt366nCMqCzruwyDdAZh/5j9YBgG\nkw0q1xn4vPRBfmnV0tE19fh/vPsjtgRswc3XN+scE6/Hzysc1pTHDr9FdGY0UjgpaKvYVmQbdshI\nycCxlyMA4PyL8yJ5jebgYtRF3Hx9E6pyqthru1fc4YhMp1aVNwgfJj0UcyTiVWPiv337Ntzc3PD+\n/XusWrUKbm5uWLVqFc6fP4+tW7c2ZIwAAIv2Fvh33r/oo90HANBRtSMGdByAovIieL/knwmUV5KH\n1zmv2e8/T/wJHypXJH9LCYiC0gJceHEBZRVlAD4l/n7tK+9d0Bu8/HiJeETnESKtqulk5AQAuBR9\nif23oYTn/dIbzl7OAIBfR/6KdkrtxByR6MwwngEAOPDkQLMe56/xf+OcOXNw9+5dHDp0CA8ePGAf\nJ0+eZPfIFURQyQaeJ0+eQEZGBleuXKlV8BO7T6x8nS9W9T5Lq5xbz9sEmpf4S8pLkF6QDqByF6ja\n2hqwFY6XHbEtYBsquBWIzaqctWTTpXLjGDql85PkvGTselh5z8bF3EXA2XVjpGmEnm16IrsoG3ff\n3BXpazUlXMLFjsAdGH9uPDilHDgZOuF7s+/FHZZIDdIZBCs9K+SW5GL/4/3iDkdsvtoNk5aWxq5d\nu755kYwwJRsqKirw448/wtbWttav0029skrolzdqeMM8IzpX/oHiJf7kvGT2nNCU0Fq/Hm946M+n\nfyIuOw4lFSXoqNKRLRVMh3o+WXdvHYrKi+DQ06HepnHWhGEYOBr+N9wTRYd7uITLfrKtzuuc11hz\nZw109+hi7b21ICDYZr0NnpM8m8V+Bz8N+QkAsDtkd7XDxM2BwH/liRMnYs2aNXjx4gVycnLYhyCf\nl2zQ1dVlSzZ8ad++fZg8eTI0NDRqHTxvQcaXS7B5id9azxotpFuAU8pBQWkBX488LT+tVuVZMwoy\n2JWMaflp+CWwckcyAw0DdFSpvKHblHr873LfCVwZXVJegtGeozHGcwzicz6tXH7y/gnOPD+DFtIt\n8OvIX0UdKgCwif9qzFUUl1edidZcFJcXw+6cHTr/3hlecV5VjiflJsH8T3P8FvwbkvOSoauqi6vT\nrmL9kPWNut5+bVjrWaN/h/7ILsrGodBD4g5HLAQm/uPHj+PSpUuws7ODubk5+xBEmJIN79+/x/Xr\n19mNWGr7i/f51KzPe++8GT1mWmbseGV6QXqVHnlthnv8Ev0AgN3A4czzMwD+S/z/zeRpKmP8r3Ne\nQ/93fVgcsUBOUc1/5A+HHcat17dw8/VN9D7UG7uCd2GL/xY4Xa4cc1/RbwU6t+7cIDF3U+8GMy0z\ncEo5uBR9qUFeU9IUlRVh/Lnx7BTn089PVzln2c1lyCvJwxDdIQicF4iE5QmY2GNiQ4cqVgzD8PX6\nm2PZD4GJPzExEQkJCVUe9WHFihX45ZdfwDAMCCG1/gdoLd8aSi2UkF+aj4/FHwFUVoKMyqhceGLc\n1phN/Gn5aWxi5n2crc0N3vsJ9wEAKy1XoqXMpwqlvTR6oZ1SO8hKySKzMFNgL7kxuB57HWXcMkRl\nRmHc2XHsIrnP/304JRxsC6gsoz2g4wAUlBXA7Y4b3P3cEf8hHnqt9LBu8LoGjXuB2QIAlcnta0Md\nTVEFtwLjz4/HnTd32OKFN17d4Pt9vBZ7DdfjrkO5hTI8J3lioM7AZtPL/5Ktvi3aKrZFCieFbyJI\ncyFwHn9JSQmuXbuGgIAAHDhwAK9evUJcXBzGjRv31essLCywevWnDTOioqJga2vLd05YWBgcHSs/\nomdlZeHmzZuQlZXF+PHjq7T3+fJj3k7yDMNAV1UXUZlReJv7Fq1btkZURhTKuGXopt4NSi2U+BI/\nr8c/WGcw/N/61yrx30u4BwBwMHBAZmEmTkScAFDZ45dipNBepT0SPyYiOS8ZXdW7Ct1uQ3jy/gki\n0iIwuutodFDpIPB83tz7FtIt8DD5IYafHg45GTk8ef8EZlpmODnxJM5FnkNmYSb6d+iPwHmBuBB1\nAScjTqKrWldYd7LGiM4j2JvrDWWB+QLceH0D/8T9A4eLDgieHwx5GfkGjUFcbr2+hbtv7kJTURN+\nc/ww6+oshKWG4c6bOxjffTzySvKw9MZSAMD/hv1PqN+DpoxhGAzoOABXY68iOClY4v7Pfitha/UI\nTAXB8wsAACAASURBVPzu7u4ghLCNaWtrY/LkyQIT/+clG3R0dHDnzh24u7vznfPmzRv2a97uXtUl\nfQA11p3QUdWpTPwf38KknQk7zGPSzgQA0E7xsx7/f2Pw9j3s4f/WH2GpYSCECOz1vMt9h9c5r6Ei\npwIzLTMs7LOQTfw9NXoCADqqdETix0Qk5SVJ1C8Rbxw+uygbQOXU0z/G/gFTLdNqzy8sK0TA2wAw\nYHBv9j3YX7DHo/ef7s0EJQXB7LAZCCp7/7+M+IW9ucobZxcXhmFwauIpmP9pjvC0cHz/z/c4Nv4Y\n5GQaft1JQ+P9Pq60XImeGj1h38MeYalhuBp7FeO7j8eG+xvwnvMeFtoWWGyxWMzRSobPE/8ckzni\nDqde8DrFPJs3b672PIFDPQ8ePMCOHTvQokULAICioqLQQzKCSjbUB14pB15v/kXGCwCAsWblqrzq\nevxDdIegtXxrZBRk8M30qcmDhAcAACs9K8hIycBC2wI/DvwR7kPd0Uq+FQBI7Di/zysfZBdlo5V8\nK7SUaYlH7x9h3vV5Nf4b+if6o6SiBOba5hikMwh+c/zgPtQd1x2vI941Hg49HcAp5SC/NB+2+rYY\nojukgd/R17WSb4XLUy9DXkYenpGeMP/TvMlv25lVmIV/4v6BFCOFWb1nAQBbtfafuH/wMOkh9j/e\nD2lGGn/a/VnnFetNBW8vh+DkYDFH0vAE9vi7d+/OztABgJCQEJiaVt9b/JKgkg2fO3HihFBtfomd\n2fPflE5eGQXeFEu+Mf7/evw6qjroo90Hd97cQWhKaLVlFgLeBuDnf3/G+O7j2W0fh+kNA1DZs/xl\nxC9850vq7j6nn1Xe4PtpyE9wNnOG/j59PEt/hoC3ARiqN7TK+bxhHt7ahF6avdifJQD8PeVvHA47\njGux1/C77e8N8A5qz6SdCR7MeYDZV2cjKjMKlkctMd1oOpb3Ww5zbXNwCRcl5SVoKSv8bnKS7Gzk\nWZRxyzCm6xhoK2sDqPwk2l29O+Ky4zD+/HgQEPxg+QP7SZiqnPzRQroFojKi8LH4I9uJE5eswqwG\n21xKYI9/2bJlmDhxIpKTk2FtbY3vvvsOrq6uDRGbUHg9fl7i5/X4DTUNAXxK/HHZccgryYOCrALU\nWqqxK4Br6g3uDtkN33hfLLmxBBejLgIAhnUaVmMcbI9fgqZ0ZhVmweeVD6QYKUw3mg5lOWUsNF8I\nAPj9cWXSruBW4HL0ZXZK7JeJ/0sMw2Bhn4W4NfOWRA1pfcmygyUiFkZgRb8VICA48/wM+hzpgza/\ntkGLrS2g8LMCRnuOZmvON2a8YZ65vefyPW/fwx5A5e+BrqouNlltauDIJJu8jDzMtcxBQPAouepU\n84Z0OPQwNH7TwJWY2i1i/VYCE7+FhQUePHgAX19f/Prrr4iOjhZqOmdD+Xw7tY/FH/Ge8x7yMvJs\nTQ5e4g9LqZy62VGlIxiGgblW5Xt4nPK42nZ5q3K7qlUmN71Wenw93y9J4lz+8y/Oo5xbDpsuNuzP\nYWGfhZCVksW12GtI+JAAF28XTP57MkwPm+L8i/OIzYqFipwKLDtYCmhd8inIKmC37W68WvYKP1j+\nABU5FWQXZaOCVECKkcKt17dgctgEi30WV1vZs6C0AK43XeH72lcM0QsnIi0CEWkRUGuphvHd+e+P\nfb5J0R9j/2gS2yfWN3a4J4l/uIcQgpDkkAYrtf4wubJ2UNC7oAZ5PaGW6YWFheHmzZu4c+eOUFU5\nG9Lnu+pEZVQO8xhoGLDjmLyEV1BWOSWR94disO5gMGAQ8DYAeSV5fG2WVZThdc5rMGAQsTACT5yf\nwH+u/1dXNUriJg+8YZ7ZvWezz2kpa2Fqr6ngEi6sTlnhWPgxAMCH4g/s/PvhnYZDVlq24QMWkc6t\nO8PDxgNpq9LwfuV7FK8vRtqqNCy1WAopRgp/hP6Bn//9ucp1Hg89sO/xPrh4u4BLuGKInF9ucS5C\nU0LZP1Jp+Wlwu+0GAJhuOL3KTew+2n3w/+2daVgUV9bH/82+S6MCClFoRARlU1YVhagRgggqEXCZ\nGMiMjPuCJpExoibj6xIV94zB0YgobsgERCJGwWUUiEaRTUAEtyAIDci+3PdDT5W00NKNII3c3/P0\nh66uun2PUqdvnXvO/yx3WI7vXL6Dm7Hbe59vT0BUnD/sThgcwxzx7eVv38s8mL3Gh/yH7ZzZObTr\n+ENDQ7F48WIoKipCQUEBS5YsQWioeOp97Wn1REdHw9LSElZWVnB3d0dKSorEBgxQGwA5GTkUVRWx\nBVnD+79emeuo6Qidz6zMtVW14TTYCfVN9Yh9ECt0Tm5pLhqbG2GgaQAVeRXYDLRhHbsopG1zN7M4\nEynPUqChqAFPE0+hz5baLwUg+JFSkFVA7KxYzLOax34uKszT01GWV8ZA9YFQlFNEf9X+2P3pbsTO\nEvzfhySGCK22ymrKWK2hgvICXCu81i1zbonfGT/YHrTF4J2DsTB2IYbvG45L+ZegoaiBRXaLWp3P\n4XCwffJ2BI8L7obZ9gwc9R0BADef3BR66otIiwAAHLx9kG221JUwkYL3VX/SruM/ePAgLly4gKCg\nIAQFBeH8+fM4ePCgWIO3p9UzceJE3L17F3/88QdWr16NlStXSmyArIwsm5PMVCwy8X1A8LjfMp+8\npQOfPkzwKHwm84zQmJklgg1pJlVTHJjuPpX1lULVrtFZ0fA57QOvE17wOO6Bi3kXxR7zXTh+/zgA\nwNvUu9Umpq2eLT42/BjyMvI46X0Snxp/ikNTD2G983o4DXJqs7/Bh8onRp9g9ejVaCbNmHV2FlsI\nuOPmDpTXlUOWI3hyPHr3aHdOE4/4j1itqKeVT7EvdR9Ka0ox2Wgy0v6eBpN+Jt06v57KAPUBMNQ0\nxKv6V+z+YGlNKSv8WFJd0mph2NkQQtgVfz4//71UErfr+IcMGYKcnBz2fV5eHoYMGdLuwOJo9aiq\nqgqdr6TUsWIbZoOXkVVoueIHICQz2zKDh4mBxuXGobqhmj3OxPdN+4nv+DkcDtsSkgk5AUBgbCBO\npp9EdHY0Yh7EwO+MH4qrigEI+tHOOjMLZzLOtDnmu8BsEs0cPrPNz2P8YvB4+WN4DvNk5//t+G+R\n9EUStJS1On0+0szGjzfCdqAtCssL4RjmiMj7kdh5cycA4McpgtTjUxmnulUDiPnh8Rvhh6R5SVg1\nehUipkcgbnZcu0+jlLfDhHsuPxKkbZ/POY8m0sTKszCb511FWW0Z638q6ipQVlvWpd8HvMXxe3h4\nwMPDA5WVlbCzs4OFhQUsLCxgY2ODysrKdgcWR6sHAKKiomBgYAB/f3+xnyTehInz1zUJWkK2XPED\nwo6/5U3yUZ+PYDvQFtUN1UIbeMyKn3Hk4sJ09El7IcgUYRq+ayhqIMonCs4GznhZ8xLL45ejrrEO\n0yKn4fj94whJDJHoe9ojuyQb6cXp0FTShIuhS5vnKMsrtwqD9VYUZBVwwvsEjLhGyCrJgu8ZX1TW\nV8J1iCsCRgZg1IBRKK8rZ0XPHpc/FloodAWpz1Jx6M4hNJNmEEJw5O4RAMA8q3lwGuyELZO2wM/c\nr9dKLnQmHkM9AAA7b+5EfVM9orOjAQDfjP0GcjJyOJ9zvsvatwJoVUv0sKzr4/wi8/hbhl3Wrl0r\n9Fln/rFNmzYN06ZNQ2RkJLy8vHDnzp02z2tLsoGByaEHADUFtVYrIKEVv4Zwzv500+lIeZaCs1ln\nMc1UkP6WWfy/UI8EK35AoAsPgE0RbFlF7DXMC+ba5jDfb45jaceQz89nMwkyijNQ3VAtcTPyF1Uv\nIC8jD64yV+g4E7qaajIVCrIKEo3ZW+FxeUhfkI7dybuxMWkjahpqsNFF0HBoroVA/mB/6n7E5cbh\n33/8G+ba5rjufx3qiuqdPpem5iZMi5yGJxVPUMAvwCSjScgry4Oeuh4mGE7o9O/r7XibecMsyQwZ\nxRnYl7IPcTmCkFqAdQDSXqThXNY5HL17FKvGrGpnpI7xpuPPL8tn080lRVzJBpErfsa5Mi9lZWWo\nqKjA2dkZ48e3Lvx5E1tbW2RlZbHv09PT4eAgOkXQx8cHz549Q01N2yJnISEh7Kul0wder/gBQZjn\nzR8mRrYBQKtiLSbc80v2L6hvqkczaX4d6pEgxg+AbS9474VAvplx/JY6lgAAIy0jrHcWlFDfeHwD\nKvIqGKg+EM2kWahHMMOd53ew+PxiVNa1fsLKLc2F8W5jGO0yYn+oGBjHP8N0hkTz7+0oyikiaHQQ\nCpYVIHtRNnvz+Zn7QZYji8uPLrOP/Wkv0jA3am6nZPvcfn5b6IkzqSCJdQYbkjZgQaxAYmGOxRxa\nddsFyMrIsvfl6ourUdVQBStdKwzWHAx/K38AgiyfrkrtfDMhJJ/f8Q1eZ2dnIV8pinZj/FeuXIGx\nsTE2bNiA9evXY+jQoUhMTGx3Ai21eh49eoSLFy/C3t5e6Jy8vDx2I+P8+fMYNWoUlJUlr6ZkYvxA\n6zAP8HrF31e5b6tV9dC+QzFCewTK68rxa96veFrxFFUNVdBW1ZY41s2GeorSQAhppRsEAMsdl8NB\n3wGyHFmETwtnM2iYOoOWBP8WjD0pe/Dj78ISF43NjZgbNZeNB7odc2MfRfPL8nH7+W2oKah1SYPz\n3oCmkiYMuYbse21VbbbHs9sQN8TNjoOmkiais6Pxj9/+gbzSPGSXZKOusU7i7yqpLoHLERe4HnNF\n8lNBTcmxtGMAXu9VMaHDzy0/DD0ZaWS66XRY6liioVnQupPJhHMzdsNA9YHIfpmNeefmtVnv8a4w\nP/KMv3kfmT3tOv6tW7ciJiYGsbGxiI2NRUxMDDZv3izW4O1p9Zw5cwbm5uawtrbG6dOnsWVLx5p2\nvLnifxPG8YvaBJttLujD+dPtn15n9EgY5gEEDkJbVRuV9ZUoKC/A3SJBC8iWjl9ORg6J8xJRuLwQ\n00ynsavKN3sDMAUkwOtqWoZNVzfh5pOb0FPXg52eHQrKC+Ae4Y7M4kx2te9u7N5rlCnfB4c8DyF7\nUTZiZ8XCdYgrIr0jIcORwaZrmzBk9xAM2zsMhqGGEldefpf0HVtHsiFxA2oba9l+Aqc+O4UA6wAA\ngJ2encRPoBTxkeHIYIPLBvY906NATkYOpz47BTUFNRxLO4Z50Z3v/JlUTqdBgk5177LiF5d2tXrK\nysqgq/s6VKKjowM+ny/W4O1p9axevRqrV68Wd64iaRm3b2vFb9bfDMDrFfmbzLOah7WX1yLmQQzb\nzlHSjV0GCx0LJDxMwK0nt5Bdkg05GTn2+xkUZBVYTRWmgvhNx//g5QN2d/9qwVV2DyD1WSrWJwoe\nS494HYGFjgUcwxxx+/ltmO17/T0tqzYp746KvAr7twEI0kDDpobhn1f/icbmRtQ11eFZ5TPMODkD\nHkM9MN10Oix0LJDzMgfH7x/H1cKr4HF5sBlgAzdjN3gM9cDDsofYl7IPHHCgJKeE2JxYrL+yHuV1\n5bDWtYZpf1Psc98Hm4E2cDFoe5Oe0nl4DPWAv5U/GkkjG54FBFk/cbPj4BruivB74dBU1MTuT0X3\nEJcUZsU/bvA4RGdHd+/mLsPnn38ONzc3eHt7gxCCqKgozJs3r8snJgnK8sow4hrhccXjNp27vb49\nkr9MFunMddV04TXMC6czTmN3suA/tCMrfkCwwZvwMAER9yNAQGDaz/StK28LHQvIcmRbbfAyq31A\nkK2U+CgRbsZuWHt5LZpIE5baL8UEnmCj7+Lciwj+LRi/5f+Goqoi9FPph0+NP+3Q/CniM89qHlv4\n1kyacSD1AL5O+Bq/PPgFvzxo3fawtKYUqc9SceD3A3A3dgcANDQ34HPLz6GrpovN1zfj/64LxP+Y\np1AFWQUE2gS+H4N6ORwOB2GeYW1+NnbQWMTNjsPEoxOxJ2UPxhuMZ8N/ZTVl0FDU6PD+C+P4mRV/\nQXkBmklzl/Y/btfxz58/H46OjoiJiQGHw8H+/fsxYkTrVXV3E+0bDX4tX2SKoq2e7Vuvnz9qPk5n\nnGZztTv6WM388DDFZO2pISrLK2O49nDcK7qHP/78g80pZhy/lrIWSmtKEZ8XD+O+xriQewFKckps\n6zgAMOQaImJGBAghyCvLg5qCGtQU1Do0f0rHkOHIYIHtAniaeOLI3SO4W3QXaUVp4CpzMdNsJqYM\nnYLHFY9xrfAatt3YhtgcQVGQoqwiNrpshJKcEvYk70FVQxU44HR7bwNKa5wGO2HbpG1YcmEJAv4T\nAB1VHfx05yf8fPdnfGn9JQ5OlTwdnRDChnpM+plAW1UbL6pe4Fnlsy5tltPuT8qrV69gYWGBNWvW\n4Ouvv0ZaWhrMzc3F/oL2ZBuOHTsGS0tLWFpaYtasWXjw4IFkFvyP4drDMWbQmA5dCwiUN1v2h32X\nFT8ANgOg5SOjKNhwT4sNXka0aaWjIK02Pi8e+1P2AxA0Fu+r0rfVOBwOB0O0hgilr1LeL3oaeljj\ntAaR3pHIWJiB6/7XsdRhKYy0jOBs4Ix/jPsHMhZmsJuHa5zW4KM+H6G/an9WdsHF0AV6GnrdaQZF\nBIvsFmG66XRB3+LD41g9rLA7YR1SeuXX8lHdUA11BXVoKGqw4pJdvcEr0vEnJCTAxsYGenp6MDIy\nwvXr1+Hg4ICTJ0/i559bN3EWRXuyDTweD0lJSbh79y4mT56MjRs3dtyad0CGI8P2bFWVV+3wry3T\nipFBHP3zNzd4X9W/QtqLNMjJyGGR3SJoKGogqySLze5ZaLuwQ3OjSAcD1QciyicKRUFFQk9ua8et\nRcj4EOz9dG83zo7yNjgcDsKmhrGLxGnDpsFvhB8ISIcKMZnVPuNvmHG7Os4v0vFv27YNe/fuRXl5\nOUJDQzFu3DgsXrwY586dw8iRI8UaXBzZBkdHRzb1093dXaxU0a7iC+svoK+hD69hXh0uUlOWV2al\nnAHAUleCFf//HH/qs1Q0k2ZY6lhCQ1GDLdqpaqiCnZ5dh4s7KNIDh8OBtqq20N+ZqoIq1jmv63Bi\nAeX9oKmkiZS/puD+3+/jrM9Z/PDJD1CSU8LZzLO487ztAlRRMPF9pr6IXfF3cWaPSMdfVFTE5t1P\nmTIFPB4Pc+bMkWhwcWUbGP71r3/Bw8NDou/oTLRVtVGwrADh08PfaRymkEtfQ1+sjjotN3ir6qvw\n38eCMA+jid9SLZOu9imU7kdLWYvtzzFAfQAW2AiK7L69IpmMM+P49dUFK36mfqSrHb/Izd3i4mJs\n376dLbCqqalh33M4HKxYsaJTJ5KQkIDw8HDcuNF2/8u3STZ0Jp2xk26hbYHTGafFbnPXcoN3582d\nbHNzxvG7GbtBTkYOWspaIkXXKBRK9/HV2K/w4+8/IuZBDIIvBSPEOUSsnhZM1S4T6nnXGL+4kg0c\nIkIDNCQkROgxlHH4DOvWrWt38PLycjg7O7P6O4sXL4arqyvc3d2Fzrt37x6mT5+OCxcutKn8yeFw\n3otUaWeRW5qLz059ho0uGzFl6BSxrjmQegB/j/270LGcxTkYoiX497heeB19VfrSMACFIqUcSD2A\nhecXopk0w1HfET7DffC08inKa8uhraoNXTVduA5xhZGWEXvNF9Ff4PAfh3HQ4yC+HPkl8svywdvF\ng566Hp6sePKWbxMPUb5TpOPvLKytrREaGopBgwbB1dUV165dQ79+r8MfhYWFmDBhAsLDw1tJOrCT\n7GGOv6OczTyLL6K/QEVdBfqp9MOLoBdUfZFC6UEkPkrE7LOz8bTyaZuf87g8PFj0gM35n/jzRFzK\nvyQoEBviisbmRqhvUkdtYy0KlhW8s+S2KN/Zbh7/u8LINjQ0NGDJkiWsbAMgqBHYsGEDSktLERgo\nKFKRl5dHcnLbfXA/dJhqz+Xxy/EJ7xPq9CmUHsZ4g/G4G3gXW65vQVVDFfTU9dBHqQ+Kq4px8PZB\nPCx7iNicWLY/Mru5+z/1ATkZOUw1mYqT6ScRfi8ca5zWdMk8u3zF3xn0lhU/hUL5cNn+3+1Y+etK\nTORNxMW5F0EIgfomdVQ1VIH/FR99lATZjedzzsM9wh0mfU2QuTBT5AIwrzQPEWkRuFJwBWlFafAa\n5oVQ11ChjnvdFurpDKjjp1AoPZ2ymjLo79BHdUM1MhZkoLC8EK7HXKGhqAH+V3zWwTc2N0J/uz6K\nqopwM+Am7PVbh8AJITDZY4Kc0hyh4yMHjMTZmWdZ4UpRvlPsFJZ79+7Bz88PHh4euHTpkkQGUygU\nSm+Hq8zFHHNBSnzQxSB8dkrQ23qZ/TKhVb2cjByr1cR0XnuT1GepyCnNgbaqNk5/dhpJ85LA4/Jw\n+/lt2By0QW5p7lvnItLx//mncKuxHTt2YP/+/QgPD0dwcLAYZgpoT7IhKysLjo6OUFJSwg8//CD2\nuBQKhdLTYGQ5zuecR2V9JXyG+2Cdc+sMyc+tBL0XTtw/0Wafh8j0SACA73BfzDCbAafBTkj9ayom\nGE5ASXUJfE/7vrU/hEjHHxgYiA0bNqC2ViBapqurixMnTiAyMhLa2tpiG9qeZEPfvn2xe/duBAUF\niT0mhUKh9ETMdcwxfrCgg+Hoj0bjsNfhNmuHLHQsYKljibLaMhz+47DQZ4QQnEw/CQDwGeHDHucq\nc3F65mkYaBrg9+e/46uEr0TOQ6TjP3fuHKytrTFlyhT8/PPPWLduHQYMGAAVFRWEh4tX2SqOZEP/\n/v1hY2MDefn2ix0oFAqlp3NgygEEOwUj2jf6rZLt80cJepcExgZi2YVl7Ar+5pObeFzxGPoa+myR\nJ4OmkiYivSMhJyOH0FuhIsd+a4zfw8MD8fHx4PP5mDp1KrhcLubMmQMNDQ2xDJRUsoFCoVA+dIb1\nG4bvPv6uXTmX+TbzsWXiFtaJjz40GgX8Ana1P9NsZptPC3Z6dtg0YdNbxxbp+H/77Td4eXnB19cX\njo6OiIyMxLlz5+Dj44O8vDxx7KNQKBRKB5HhyGDVmFW49sU1GGoashu34WmCiMvb5FtWOK7AErsl\nIj8XWcAVHByM+Ph4VFVVYe7cuUhISMD27duRk5ODNWvWIDIyst2J29raYtWqVez79PR0uLq6tntd\nW7wvrR4KhUKRJuz17ZH6t1T4nfHDr3m/AgAMNA1gp2fX6tyWWj1ccEWOKTKP39PTEx4eHqioqEB6\nejrCwtpuSdYe7Uk2MISEhEBdXR0rV65sPUmax0+hUHo5Tc1NWHNpDbbc2ILvP/5erKpeiQu4Kioq\n8Msvv0BJSQlubm5QUVHp0GQTExMRGBjISjYsWbJESLLhzz//hK2tLSoqKiAjIwN1dXVkZGRATe11\n60Dq+CkUCkUAv5aPPop9xJJ0oZW7FAqF0st458pdCoVCoXwYUMdPoVAovYwudfztyTUAwDfffAMe\nj4dRo0YhKyurK6dDoVAoFHSx429PriE5ORlXr15FamoqgoKCeoVsgzht0XoCH4odALVFWvlQbJFG\nO7rM8Ysj13Dr1i14e3tDS0sLfn5+yMzM7KrpSA3S+EfQET4UOwBqi7TyodgijXZ0meMXR64hOTkZ\nZmZm7Pv+/fvTqmAKhULpYrp1c5cQ0irViLYbpFAolC6GdBF8Pp9YWVmx7xctWkRiYmKEztm1axfZ\nvn07+57H47U5lpGREQFAX/RFX/RFXxK8LC0t2/SpXdZsvU8fQf/IpKQkDBo0CBcvXsS6deuEzrG3\nt8eKFSvwl7/8BfHx8TA1NW1zrNzct3eToVAoFIr4dJnjB4CdO3di/vz5rFxDv379hOQa7OzsMHbs\nWNjY2EBLS0tsnX8KhUKhdJweIdlAoVAolM6jWzZ3/f39oaOjA3Nzc/ZYRkYGpkyZAisrK3h4eLCp\nnYQQLF26FKNGjcLo0aPx008/sddkZmZi5MiR4PF4EvUB7kzasiU7OxuzZ8+GmZkZfH19UVNTw362\na9cuGBsbw8zMDNeuXWOP9zRbLl68CBsbG1hYWMDLywvJycnsNd1ti6T/JwBQWFgINTU1ob7P3W0H\nILktubm5cHFxgYmJCSwsLFBXJ+ja1NNskeb7/vHjx3BxccHw4cPh7OyMiIgIAEBlZSU8PT0xaNAg\neHl54dWrV+w1Unffv+MebodISkoit2/fJiNGjGCP+fj4kMjISEIIIREREcTX15cQQkhcXBxxd3cn\nhBBSUVFBBg8eTMrKygghhLi5uZETJ06QkpISMmbMGJKSkvKeLWnbFj8/P3Ly5ElCCCGbNm0iu3bt\nIoQQUlRURExMTEhBQQG5cuUKsba2Zq/pabbcuXOHPH/+nBBCSGJiInFycmKv6W5bJLGDYcaMGWTm\nzJlk27Zt7LHutoMQyW0ZM2YMOXXqFCGEkNLSUtLU1EQI6Xm2SPN9//z5c3Lnzh1CCCHFxcXE0NCQ\nVFRUkM2bN5NFixaR2tpasnDhQrJ161ZCiHTe992y4ndycgKXK9wkoE+fPnj58iWam5vx8uVL9nMN\nDQ1UV1ejuroafD4fHA6HlYjOzs6Gj48P+vbti+nTp7cqEOsuW65cuQIPDw8AwNSpU3H9+nUAgoI1\nV1dXDBo0COPHjwchhF0V9DRbrKysoKury153//59NDU1Aeh+WySxAxD0l+bxeEI1JUD32wFIZsuL\nFy/A4XDg7e0NAOByuZCREdziPc0Wab7vdXV1YWVlBQDo168fhg8fjpSUFCQnJyMgIACKiorw9/dn\n5yWN973UiLRt3boVoaGh4HK52Lt3LzZv3gwAGD16NBwcHKCjowMej4cDBw5AQUEBubm50NbWZq+X\npn6+kyZNwuHDh1FXV4cjR47gxo0bAAR/AC0zl0xMTHDr1q0eaUtLjh8/DkdHR8jKykqtLaLsePXq\nFbZs2SLU4Q2A1NoBiLbl119/BZfLxaRJkzBx4kQcP34cQM+0pafc97m5uUhPT4ednZ1Q0eqwYcPY\n8Kc03vdS4/j9/f2xePFivHz5EoGBgQgICAAAxMTEICUlBYWFhUhPT8eXX36Jly9ftir8evN9EFrs\nLgAAA0xJREFUd7J+/Xrcv38fDg4OaGpqgrKysshz2ypY60m2pKWl4dtvv8WePXsAtJ67tNgiyo6Q\nkBAsX74cKioqQnOVVjsA0bbU1tbi5s2b+PHHHxEeHo5NmzahoKCgR9rSE+77yspK+Pj4YMeOHVBT\nU5NoLt1933dpOqckXLt2DUePHoWcnBwCAgKwaZOgS3xSUhJmzJgBLpcLLpeL0aNHIyUlBa6urigq\nKmKvz8jIgIODQ3dNXwgDAwPWEcbFxaG+vh6AoG4hISGBPS8rKwu2trZQV1fvcbYAwJMnT+Dt7Y2j\nR4/C0NAQAGBsbCyVtoiyIzk5GWfOnMHq1avB5/MhIyMDZWVlLFiwQCrtAETb4ujoiPHjx4PH4wEA\n3NzcEB8fj7/97W89zhZpv+8bGhowY8YMzJ07F56engAEPcYzMzNhbW2NzMxM2NraApDO+15qVvwu\nLi74z3/+AwCIjo7GpEmTAAATJkzAhQsXUF9fj5KSEqSmpmLs2LEABI9TJ06cQElJCaKiomBvb99t\n829JcXExAODp06fYt28fJk+eDACws7NDfHw8CgsLceXKFbbVJNDzbOHz+XB3d8fmzZvh6OgodI00\n2iLKjqSkJOTn5yM/Px/Lli1DcHAwFixYAEA67QBE22JqaoqMjAyUlZWhqqoKly9fxscffwyg59ki\nzfc9IQQBAQEYMWIEli1bxh63t7fHoUOHUFNTg0OHDrFOXCrv+/eyhfwGvr6+ZMCAAUReXp7o6+uT\nQ4cOkfv37xNfX19iYWFBZs2aRTIzMwkhhDQ2NpI1a9YQGxsbMm7cOHL06FF2nPT0dGJtbU0MDAzI\n119/3R2mtLIlLCyMhIaGkqFDhxJjY2Py/fffC52/c+dOYmRkRExNTUlSUhJ7vKfZsnHjRqKqqkqs\nrKzYV3FxsVTYIun/CUNISAj54Ycf2PfdbQchktsSFRVFzMzMiIODA9m9ezd7vKfZIs33/dWrVwmH\nwyGWlpbs335cXBypqKggU6dOJR999BHx9PQklZWV7DXSdt/TAi4KhULpZUhNqIdCoVAo7wfq+CkU\nCqWXQR0/hUKh9DKo46dQKJReBnX8FAqF0sugjp9CoVB6GdTxUygUSi+DOn4KhULpZfw/9UrhWVNX\nS3oAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x12783390>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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UZ/xffvklDA0N4e3tDQD4448/kJmZiV27dtX7PEIIvLy8YGBggB9//LHWY2ji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\nkUiqGdLxSyQSSTXj/wBFQ7nmh34tRgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xb9452e8>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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fOnUqVq9eDYFAAEDcPP306dM4c+YMTE1Nqzo9haIUjh8/joMHD6J+/fr466+/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\n0clsqkrYAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x127b32b0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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5c3D58uU693F0dERMTAxiYmKwZs0a8aKmKCFKSkrYBT2bNm2CrKzQCW1UGyUv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\ngPLbEhsbi6enJ05OTri6upKdrWkaX9Ns0eXrPiEhAU9PT1xcXOjZsye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"text": [
"<matplotlib.figure.Figure at 0xb92ada0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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34/cjypUrR5kyZbC2ttZ8t7CwQK1W5/llbm6e5/OWlpZYWVnl+K7tZ13HLS0t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\nNI0IVwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xb922198>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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ZlA2HDx+mX79+DBs2jNatW7Nx40a2b9/O0KFDuX79elEvLwhCCXF3dyc4OBg3\nNzcuXrxIjx49SEpK0ndYgg4UucXfunVr9u/fT1paGqNGjeLgwYMAXLt2jVmzZrFx48aiByla/IJQ\nYmJiYujQoQM3btygdevWbNu2jRo1aug7LOEV6KzFb2dnx6ZNm/j777+1ln+rX79+oZP++PHjqVGj\nBq+99lpRwxEEoYgcHR05dOgQTk5OnDx5kmbNmnHo0CF9hyUUoyIn/jVr1mBmZoazszPLli17pWuM\nGzeOffv2FTUUQRCKiYuLCydPnqRjx47ExsbSrVs3Ro0axdGjR8Wn73Kg1EzZEB0djZ+fHxcuXMi1\nT5R6BEE/lEolX3/9NV9++aXc7drNzY1PPvmEESNGYGxsrOcIhRfR+Xz8giCUP4aGhsyePZvIyEg+\n/fRT7O3tuXz5MmPHjqVBgwasWLFCzPdfBpWZFv/s2bPl78VcPYKgH9nZ2axfv5758+cTGRkJQM2a\nNZk+fTpDhgyhVq1aeo6wYnt+rp65c+eW7tk5RalHEMoOpVLJ5s2bmTdvntbfbLNmzejevTvt2rWj\nTZs2YhyAnpX6aZlF4heEskelUrF7925WrlyJv78/6enpWvvd3d1p27Yt7dq1o127dtSpU0eek0vQ\nvVKd+IcPH86RI0dISEjAzs6OL7/8knHjxsn7ReIXhNIvIyODI0eOEBQUxLFjxwgJCSEjI0PrGFtb\nW2xsbKhcuTK1atXCy8sLDw8PTE1NUalUxMbGcvHiRW7cuEGNGjVo0KABrq6uODo64ujoiL29vXjj\neAmlOvEXRCR+QSh7MjMzCQ0N5fjx4xw7doxjx46RkJBQpGtWr16d1q1byw8fHx+t1foEbSLxC4Kg\nV5IkERMTQ3JyMikpKURFRREaGkpERARKpRIDAwOqVq1KkyZNqFevHg8ePCAyMpLo6Gju3bvH7du3\nSUxM1LqmoaEhNWrUwMbGBgcHB7y8vGjevDm1a9fGwsKCypUrY2FhgYWFBZUqVapwnxZE4hcEoUyT\nJImbN29y8uRJTpw4wcmTJzl//jxKpbJQ5xsbG2NpaUmVKlXkhyRJJCcnk56ejoWFBVZWVvI+zdfP\n/mtlZYWTkxN16tShatWqOn7FRScSvyAI5U5GRgZxcXEkJCQQHR3N6dOnOXv2LPHx8aSlpZGamir/\nm52dXazPbWlpSfXq1eWHjY3NC7+2sbEp8RXOROIXBKFCy8zMJCUlheTkZJKTk0lKSkKhUGBlZYWZ\nmRnp6elhmPhNAAAgAElEQVQkJSXJ+549TvPvo0ePuH37Njdu3MjVg6kwNG8WdnZ21K1blwYNGlC7\ndm1sbW3lh52dHRYWFsVSlirViT8oKIiJEyeSk5PDlClTeP/997X2i8QvCEJpIkkSjx49IiEhgYSE\nBOLj44mPj5e/zm9bYctSlStXxsXFRethb29P5cqV5YfmHobmkdc9jFKd+D09PVmyZAnOzs706NGD\nY8eOUb16dXm/SPyCIJR1kiSRlJREfHw8sbGxXLt2jcjISGJiYoiLi5MfDx8+zNUNtjAMDQ1zvRmE\nhoaWzsSflJSEr68v586dA2DKlCn06NGDN954Qz5GJH5BECoKzaeJ6OhooqOjuXXrFjdv3iQuLk6+\nX/HsvQvN1/nNmaSTxdaL6vTp0zRq1Ej+XrMK0LOJXxAEoaJQKBRYW1tjbW2Nl5dXoc/Lzs4mLS1N\n6w2hefPmeR6r98RfGB4eHhWu/60gCEJReXh45Lld74nfx8eHjz76SP7+0qVLvP7661rHhIWFlXRY\ngiAI5Zbe5+O3srIC1D17oqOj8ff3p2XLlnqOShAEofzSe4sf4Mcff2TixIlkZ2czZcoUrR49giAI\nQvHSe68eQRAEoWTpvdQjCIIglCyR+AVBECoYkfgFQRAqGJH4BUEQKhiR+AVBECoYkfgFQRAqGJH4\nBUEQKhiR+AVBECoYkfgFQRAqGJH4BUEQKhiR+AVBECoYnSb+8ePHU6NGDV577bU8969btw4PDw88\nPDwYMWIEkZGRugxHEARBQMeJf9y4cezbty/f/a6urgQFBREeHk6PHj346quvdBmOIAiCQAnMzhkd\nHY2fnx8XLlx44XHx8fF4eXlx+/ZtXYYjCIJQ4ZWaGv+vv/6Kn5+fvsMQBEEo90rFQiwHDx5k7dq1\nnDhxIs/99erV4/r16yUclSAIQtnm4eGR59K1em/xnz9/nkmTJrFz506qVq2a5zHXr19HkqRy8Zg9\ne7beYxCvQ7yWsvAoL69Fn68jPDw8z5yq18R/+/ZtBg4cyLp166hXr54+QxEEQagwdFrqGT58OEeO\nHCE+Ph4nJyfmzp1LdnY2ABMnTuTLL78kMTGRSZMmAWBsbExISIguQxIEQajwdJr4//777xfu//33\n3/n99991GUKp4+vrq+8QikV5eR0gXktpVV5eS2l8HWVisXWFQkEZCFMQBKFUyS936v3mriAIglCy\nROIXBEGoYETiFwRBqGBE4hcEQahgROIXBEGoYETiFwRBqGBE4hcEQahg9LoQC8Cnn36Kq6sr3t7e\nXLlyRZfhlGkPUh+QlJGk7zAEQSgH9LoQS0hICEePHuXMmTPMmDGDGTNm6DKcMisuLY5Gyxvx+rrX\n9R2KIAjlgE4Tf/v27alWrVq++0+dOsWgQYOwtrZm+PDhXL58WZfhlFm7InfxOOMxwXeDSc5M1nc4\ngiCUcXqt8YeEhODu7i5/b2trWyHm3VdJKpQqZaGP33l1p/z1xYcXdRGSIAgViF4XYtHMGf0shUKR\n57Fz5syRv/b19S2VEx8V1ts732brla1c/s9l7Cvbv/DYJ9lPOHD9gPz9+QfnaePURtchCoJQBgUG\nBhIYGFjgcXpN/C1btiQiIoIePXoAEBcXh6ura57HPpv4S6sNFzcQnx7P5BaT8z0mOTOZNefXkK3K\nJjA6kGFNhgGQo8ohNSuVqqbai9EcunmIJzlP5O/DY/NeWEEQBOH5RvHcuXPzPE6vpZ6WLVuyZcsW\nEhISWL9+PW5ubvoMp0iyldmM2zGO9/e+T2xqbL7HHbh+gGyVek2CsNinS6JN3z+dGotqcOnhJa3j\nNWWeDs4dADj/8Hxxhy4IQgVTqBb/qVOnCAgIYObMmdy+fZvY2FhatGhR4HkFLcTSokUL2rVrR/Pm\nzbG2tmbt2rVFezV6FBEXQUZOBgA3H93Mt4TzbL3+2cS/5fIWspRZ7Lm2h8Z2jQH1vYBdkbsAmNV+\nFt1vdef8g/OoJBUGCjEEQxCEV1Ng4p8/fz4XL17k3LlzzJw5k8qVK/Pee+9x5syZAi9e0EIsAAsW\nLGDBggWFi7YUC70fKn99K+kWrZ1a5zomR5XDv9f+lb/XJP67yXeJSYkBIDgmWN5/OuY0samxOFs5\n09W1K/aV7YlNjSX6cTSu1fIuiQmCIBSkwGbjrl27WLt2LaampgBYW1uTlZWl88DKmnOx5+Svox9H\n53nMiTsnSHySSH3r+lhVsuJB2gNiU2M5dfeUfMzJOyflG96aTwd9GvZBoVDQtEZTQH2DVxAE4VUV\nmPhr1aqllegvX75MgwYNdBpUWaTV4n98K89jNIm8b8O+eNh7AOqbtcF3n7by76fe507yHfXxkU8T\nP4BHjafnSJLEvKB5LDy+UKxOJgjCSymw1DNx4kT8/Px4+PAh48aN4+jRo/z2228lEVuZoVQpter1\n0UnRuY6RJIkdV3cA6kSepcwi6FYQYbFhcnnH0sSSlKwUgu8Gk6PK4eLDi1SpVEW+sSu3+B+eZ3fk\nbmYFzALA3Nic/7T4jy5foiAI5UiBib9r1660adOGvXv3olKp+PnnnzEzMyuJ2MqMa4nXSMtOw0Bh\ngEpS5dnivxJ/hajEKGzMbGjt1JqoxCgATt87zZl76vsl45qNY2nIUoLvBnM/5T4APev1xMTQBHia\n+EPvh2oN5Ppg/wc0sWtCR5eOOn2dgiCUD/mWehITE+VHRkYGnTp1okuXLjx58oTExMSSjLHUO3df\nXd9vX7s9oK7xP19+WRayDFCXeYwMjORSz+7I3WTkZNDApgFvNHgDgJN3T2p9OtBoVL0RxgbGRD+O\nJjIhkgY2Dfig5QfkqHIYuGkgnf7qhN1COzr/1fmlRgYLglCx5Nvi9/LyyncULcDNmzd1ElBZpKnv\nd3LpRPiDcB5nPCY+PR5bC1sAYpJj+OPcHyhQMKONeiI6d1t3jAyMyFRmAtCqVitaOrZEgYLQ+6Eo\nVUqMDIzoWa+n/Dwmhia42brJN3cXdVtEr/q9iIiP4MD1AwRGBwIQEB3AlfgrcrdQQRCEZ+Wb+KOj\no0swjLItNFad+L0cvHCp6kJYbBjRj6PlxL/wxEKylFkMdh+Mm616kJqpkSlu1d248PACAC0dW2Jl\naoWbrRsRcREAdHbpTDUz7UnuPGp4cP7BebrU6ULvBr1RKBRsHryZjZc24mjpyLKQZeyN2ktITIhI\n/IIg5KnQo4AuXLhAUFCQ/BDUJEmSSz1eDl44WzkD6r78oJ5Hf8XZFQDM6jBL69xm9s3kr1vVaqX+\n17GVvK1Pgz4878NWHzKk8RB+9ftV/kRmWcmSCV4T6Fm/J53rdAbgVMypXOcKgiBAIRL/tm3b8PLy\non379kydOhVfX1++/vrrQl08KCgINzc36tevz7Jly3Ltf/LkCWPGjMHT05OOHTuyY8eOl38FenYr\n6RaPMh5hZ2FHTcuauFR1AZ725f/+5Pdk5GTQt2Ff+eashibxmxmZ8ZqderGaZwd++TX0y/V8ng6e\nbBy0Md8BXC0c1SOqQ2JCivS6BEEovwpM/MuWLSMwMBAnJyfOnTvH0aNHsbKyKtTFp06dyooVKzh4\n8CDLly8nPj5ea/9ff/2FhYUF586dY/Xq1UybNq1U9knPzMkkS5n3oDVNfd/T3hOFQvG0xf/4Fjmq\nHP449wcAn7f/PNe5mlk229Vuh7GhMQC+Lr4YKgzxqenzSqNzvR28MVAYcP7BedKz01/6fEEQyr8C\nE39SUhJVqlTBzs6OxMRE2rZty8WLBc8Jn5SkXiawQ4cOODs70717d06d0i4/WFlZkZKSQnZ2NomJ\niZibm7/whrI+PMl+QoOfGtBldZc892ta1l4OXgBPW/xJ0QTfDZZH6vo4+uQ6t1WtVux/cz+r+q6S\nt9Wzrsfpt0+zY9irffqxMLGgiV0TlJJSa1CZIAiCRoGJv3bt2jx69IhBgwbh6+tLly5daN069zw0\nzzt9+jSNGjWSv3d3dyc4OFjrmOHDh6NUKqlevTrt2rVj3bp1r/ASdCssNozbSbc5dvsYNx7dyLX/\n6O2jgLrVDuBc9WmLf3fkbgB6N+id7/W71+2OYxVHrW2eDp44WDq8cswtHVsCotwjCELeChzAtW3b\nNgDeffddevTowf3792nbtm2xPPlPP/2EkZER9+/f58KFC7zxxhvcunULA4Pc70f6Wojl2VbzoRuH\ncPV+Wn55kv2E0zGnUaCQyzbP1vg1M2u+KPHrQkvHlvwW+pu4wSsIz9l5dSczD85k46CNvFbjNX2H\nU+yKdSEWSZKIiIggMzMTU1NTQkND8fLyeuE5Pj4+fPTRR/L3ly5d4vXXtRcLDwoK4q233sLc3JyW\nLVtSs2ZNIiMjtT4paOhrIZZnJ1/zv+HP295vy9+HxISQrcrGo4aHvIBKNdNqVDapTEpWChFxEVSp\nVEX+NFBSxA1eQcjbxksbuRx/mX1R+8pl4i+2hVj+97//4ezszDvvvMP06dOZMWMG06dPLzAAzQ3g\noKAgoqOj8ff3p2XLllrHdOnShV27dqFSqbhx4waJiYl5Jn190mrx3zyESlLJ32vKPJoRu6BeOlLT\n6gd4vd7r8pQLJcXd1h0LYwuiH0fzMO1hiT63IJQWq86tov6y+lol2jtJ6gkQX7RYUkVQYIv/p59+\nIiIigsqVK7/0xX/88UcmTpxIdnY2U6ZMoXr16qxYoe7TPnHiRIYNG0ZERATNmzfH1taWJUuWvPwr\n0KEsZZY8J45mLvyw2DD5Rm7QLfV4Bs0kahrOVs7yeb3rl2yZB8DQwJDmNZtz5NYRQmJCSrzUJAil\nwYZLG4hKjML/uj8Tm08EkGe+jU0Tif+FGjVqxIMHD14p8Xfs2JHLly9rbZs4caL8tZWVValL9s+6\n9PAS2apsGtg0oH3t9vxx7g8O3jiIl4MXOaocTt49CUB75/Za52la/AoU9Kzf8/nLloiWji1F4hcq\nNM1kiZoxNSpJRUyyesGjit7iL7DUs2DBAnx8fGjfvj1+fn74+fnRp0/uEaXl0bN99Lu6dgXg4I2D\ngLq3T2pWKvWs6+VaZlHTl7+1U2uqm1cvwYif0kzXoJkFVBAqEkmSuJ10G3g6TfqD1AfyetcVPfEX\n2OIfPHgwU6dOpXXr1piYqGvVpa2vva5obux6OXjJUyEcvX2UjJwMjt7KXd/XGOQ+iA2XNvBZu89K\nLtjnOFVxAtTLOgpCRROfHs+TnCfA0xa/pswDIvEXmPglSeK///1vnl0sy7tnW/x2FnZ41PAg/EE4\nC44tyPPGrkadanU4+87ZEo31ebWq1AK0f9kFoaLQzJUFzyT+pKd/C4lPEsnMyaSSUaWSDq1UKDDx\n9+7dm4kTJzJ8+HCqVq0qby+oO2dpI0nSS31SUaqUhD8IB9QDqkC9KEr4g3DmHnnaRer5+n5poUn8\nMckxqCQVBoqK98YtVFzPLoYUmxpLRk5GrkbQw7SHOFk5lXRopUKBif/YsWMoFAq++uorre0BAQE6\nC6q43Xp8C+9fvXm3+bt81fmrgk8AIhMiSc9Op7ZVbblOP6vDLJysnDhy6wgn7pzAo4YHdavV1WXo\nr8zM2AwbMxsSniTwMO1hrvsQglCeJGcmcyfpjnxvS1Pf17iddFurxQ/qNwSR+PNRmFFgpd2RW0dI\neJLAN8e+YWTTkTSqXvBYAU1939PeU95mYWLBez7v8Z7PezqLtTg5WTmR8CSBu8l3ReIXyrUJOyew\nOWIzZ985i6eDp1apB9Tlnudb/BW5zl8hPv9r3umVkpLPDhXuhuuJOyeAp5OvlUVynT9J1PmF8isz\nJ5PdkbuRkOSxNZoWf5VKVQB14tdsq29dHxCJv9x79mPftivbOHnn5AuPj0qM4vfQ3wH1yNuySvTs\nESqCk3dPyj14wh6EAU9v7mqmS3m2xa+Z0kQkfh0paCEWUM/i6ePjg5ubm84mXtP8wDVlm08OfpLv\nvP+SJPH+3vfJVGYy2mO0/EtSFmla/CLxC+VBRFwEGTkZubZrxtaAenwNPL2529G5IwDXEq9xP+U+\nChTyp3iR+F/A29ub5cuX8+jRo5e+eEELsUiSxPjx4/nmm2+4fPkymzdvfunnKAxN4l/cYzE2ZjYc\nvX2UfVH78jx2+5Xt7Ivah1UlK77r+p1O4ikpmha/6NIplHVbIrbQ+OfGfLDvg1z7nk38lx5e4nHG\nYxKeJGBiaCI33E7cOYGEhIOlg/x3UZGnbSgw8W/YsIGYmBh8fHwYNmwY+/fvL9QqWYVZiOXMmTM0\nbdqUrl3Vo2KrV9fNKFdNqaeJXRNmtpsJwJdBX+Z6HRk5GXywX/2LNa/zPGpUrqGTeEqKaPEL5YFK\nUjHnyBwA1l9YT2ZOprzvccZjTt87jbGBMbWq1CJblS036mpb1ZZXsbuXcg9QN4Y0HR1Ei/8F6tev\nz/z584mMjGTEiBGMHz+e2rVrM2/ePJ48eZLveYVZiGX//v0oFAp5Ooj9+/cX4aXkLTkzmeTMZMyM\nzLA2s2ZS80nYmNkQfDeYQzcPaR17JPoIt5Nu41bdjUnNJxV7LCVN01VNtPiFsmzn1Z3ypIcpWSkc\nuH5A3hcYHYhKUtHaqTWta7WWjwd14q9pWRMjg6edF52snib++yn3S+ollDqFmo8/PDycVatWsXfv\nXgYOHMiIESM4fPgw3bt35+jRo6/85BkZGYSFhXHw4EHS09Pp1q0bFy9exMzMLNexr7oQi6ZHS22r\n2igUCiqbVGZ66+l8dvgz5h6ZS5c6XeSBXZo3gj4N+2BoYPjKr6u0cLRUr+xVHgdxqSQVj548wsbc\nRt+hCDokSRLzjs4DoIFNAyITIvkn4h/8GvoBT8s8Xet0xdDAkH8i/mHPtT2Aes4sIwMjnKo4cfPx\nTSB3i/9lB3bqUnGMJC62hVi8vb2xsrJiwoQJfPvtt1SqpA6sVatWnD59Ot/zCrMQS+vWrcnMzMTe\nXv2DaN68OUFBQfTo0SPX9V51IRZNmefZgRr/afEfFp5YyLHbxzhy6wi+Lr7A01+iLnXyXl+3rDEz\nNqO6eXXi0+PLzSAuSZLYfmU7/w34LxFxEazuv5o3m76p77CEIriTdIeDNw5yOPowdavVZY7vHHmf\n/w1/ztw7g625LZsGbaLZimbsuLpDTpJy4nftSuKTRACSMtVlZs1kiS5VXbQSf2WTypgbm5OenU5K\nVorc5VOf1p1fx7gd49gxbEeRZvQtloVYVCoVAwcO5PDhw4wYMUJO+hqaZRnzUpiFWFq1asWRI0dI\nT08nMTGRc+fOFduyjhqaMofmhg6o+/Z+2OpDALk1kZCeQFhsGJUMK5X4ilm6VF7q/JEJkXx77Fs8\nV3gyYNMALsVdQkJi4u6JXIm/ou/whHxIksTsgNkM+WcI43aM4xP/T+QEDbA5YjPOPzozfud41p5f\ny9wjc7WmW/j2+LcATGs9DQ97D5rWaEpyZjL+N/yJiIvgasJVLE0s8XH0oZl9M63nrm1VG3i6Djao\nG4AKhaLU1fmP3T5GtipbHj+kay9s8RsYGLB582Y+/fTTV/o4VNBCLDY2NowbN05eiOXLL798pXn/\nX0RT6nk28QO83/J9FhxfwMEbB4mIiyAiLgIJiTZObTAzzl1qKqucqjgRFhvGnaQ7NK/ZXN/hFJok\nSYQ/CGfb5W1svbJVrvGCelGcz9t/zok7J/j74t8M3TyU4LeCy9XPrbw4cusIXwZ9qbXNzNhMbtWv\nu7AOCYkOzh14kPqAqwlXCb0finNVZzJyMgi6FYQChXzPbbD7YM4/OM+3x7/lavxVQL2mtZGBETUt\na8qfcOFpwnexcpGfW5MH7Cvbc+PRDWJTY2lg00CX/wWFkvAkAYC49LgSeb4CSz39+vXj448/ZsyY\nMdSsWVPebm1tXeDFC1qIBdSLuL/77ruFjfel3U5Wl3o07/4aVU2rMqrpKFacXcHykOUoJSWAPO9+\neVHWWvz3U+7z/cnv2Xp5q/zxHMCqkhV9GvZhgNsAetTtgZmxGWM8xnDm3hnOPzjP1H1TWdF7BQqF\ngvTsdEZuHYlKUvFr719f2DsrW5lNWGwYiU8SSctOo3OdzvL6yULR/Rb6GwAjXxuJUxUnFhxfwN6o\nvczxnUOOKofDNw8DsLrfan458wvfHv+W0Puh9HfrT1hsGDmqHBrbNpZ/JoPdB/PfgP9y7PYxALrX\n7c4vb/wCqKeLb2bfTC7/aP7mn10KVVPyLW0tfk3i17xp6VqBiX/lypUoFIpcfexv3ryZzxmli9zi\nz2MypsktJrPi7Ar+Cv8LazP1G1l5qe9rlLW+/H039OX0PfW9IzsLO/o36s8AtwH4uvjmWrvYspIl\nmwZvotXvrfgt9DfqW9dnepvpjN0+lu1XtgNw9t5Ztg/bnuennSfZT2i/qj1n7z+dQvvNpm+ypv8a\nHb7CiiPxSSJbIragQMHXnb/G1tyWH4J/4HTMaeLS4ohKjCI5M5l61vVwruqMt4M3gPzzOB2j/j3w\ncfSRr9mwekO8HLwIvR/Ku83fZWnPpVq9dprVeJr4Nb/7msRvZGBEDQt1I8DeonQlfk35q9S0+KOj\no0sgjOKTkpnCvKPzGO0xGndb9zxr/BpN7Jrg6+JLYHQgadlpWFWywrumd0mHrFNlqcUfej+U0/dO\nY21mzfah22nj1KbA3lXN7Juxuv9qhm4eyscHPyYgOoC9UXupUqkKbtXdOBVzinYr2zGt9TSmtJyi\ndYP700Ofcvb+WWzNbWli14SA6AB2R+4mR5WjlUwqumxlNktPLaV73e68VuO1Qp+3JnwNmcpMutft\nLiffjs4d8b/hz4HrB7j+6DoA3Vy7AU/nxTp7/yySJMkNgBY1tUfPbx+6najEKHxdfHOVoDV1fofK\nDnIPmYbVG2KoMKSBTQP596nUtfjT/7/Uk1Yyib9Q/fvS0tLYtWsXq1evlh+l1cITC/n2+LdM3TcV\nSZJe2OIHeL/F+/LXvi6+5e4Pviz15dfMjzS66WjaO7cvdJfaIY2H8EP3HwDYG7UXA4UBGwZuIGhc\nEO94vUOmMpNvjn2D84/OTNg5gctxl/G/7s+SU0swMjBi78i9HB5zmHrW9Xic8ZiQmBCdvcay6LfQ\n35jhP4M2K9sQcFN7OvYsZRbzj85n0KZBPHrydHS/JElymedtr7fl7T3rqXus7I3ai/8Nf+Bp4net\n5opVJSsepj3kXso9+efwbIsf1L/Tnep0yvO+Y7va7TAzMqO1U2t5m31lew6OPsjWIVu1tkEpSvwl\nXOMvMPH/9ttvdOnShbfeeott27YxefJknQy0Kg7Zymw5eQTcDOBK/BUylZlUM61GZZO8bxr3adhH\n/jRQ3ur7UHZa/OnZ6ay7sA6At7zeeunzP2z9ITPbzsTE0IQlry+hZ/2emBiasMJvBSfGn2CA2wCy\nldn8ce4P3H92p9/GfgDM9Z0rf8p7va66u/H+qNL5+60PkiTxvzP/AyA1K5We63qy9vxaIuIiOBJ9\nBJ/ffPj88OdsubyFVWGr5POC7wZzKe4SdhZ29Gn4dI1uzaSHe6P2Enw3GAOFAZ3qdALUNXpNqz8g\nOoCrCVcxMTShaY2mhY7XuaozUVOi+KvfX1rbfV18aVi9ofx9aUr8GTkZpGenA+qSj1Kl1PlzFpj4\nV61aRVBQELa2tmzbto0zZ84QF1cy70ova+fVndxPVY/GU0pKfgr5Cci/tQ/qut//ev+Pwe6Dy2V/\n8OdX4iqtNkdsJjkzmVa1WtHErskrXeObrt+QNDOJyS0ma21v7dSaLUO2cHXyVSZ5T8LUyJT07HTa\nOrXlk7afyMdpktK+63nP41QRSJJ6amPNZGjBd4O58PACtua2TPKeRKYyk1HbRtH458b4/uXL+Qfn\n5X7wWy8/bVFrWvtjPcZq3ZtpVL0RzlbOJD5JJEeVQwvHFlo30zV1/l/P/gqoSzfP39spSE3Lmvk2\n9DRKU+J/tnurSlLxKOPl50V7WQUm/uzsbExMTHBxcSEmJoa6dety507pLBv8ckZ9d1/Tavgz/E8g\nd4+e5/Wq34tNgzeVy94cpkam2Jrbkq3KLtX93TWf1N7yfPnW/rNMjUzz3Vffpj6/9P6FWx/c4s++\nf7Jz+E6tcpLmBvLpmNMl1ruitPkn4h86/tmRHmt7kKXM4n9n1a398Z7j+fmNn/mu63d41PDArbob\nDW0aMq3VNK5OVrfMT9w5wYPUByRlJLHx0kYAJnhN0Lq+QqGQyz3wtMyjofnb1axp/Xx9v7jI0zak\n6n/aBk19X6Mk6vwFJv7mzZvz6NEjxowZQ/v27XF3d6d///46D+xlRSZEcujmIcyNzdk4aCMGCgP5\n41NeN3Yrkr4N+wIw/+h8PUeSt9D7oRy9fRQLYwuGNh6q8+ezs7BjTLMxck8uDQsTC9rXbo+EpDXj\nY0Wime4g6FYQY7ePZdOlTYC6Tq9QKPio7UeETQoj4j8RXJl8he97fI99ZXu6uXZDQmLH1R2sv7Ce\n9Ox0fF18qW9TP9dzPDsyNb/Er/F8fb+4OFg6YG5sTmxqLA9SH+jkOQrr2RY/lEydv8DE/8svv1Ct\nWjWGDBlCeHg4/v7+zJ9fuhKIUqVk8cnFAAxvMpx61vXkebhBJP5ZHWZhbGDM+gvriYiL0Hc4WmJT\nY+m/Ud2QGO85HstKlnqNRy735DNtd3kXGB0IgKHCkL8v/k1GTgbd63anrvWL15Ye4DYAUJd78rqp\n+6zOdTpTzbQaNSxq0KpWK6199W3qa5VpfGrqJvEbGRjR1kk9S8CRW0d08hyFpbmxq1ESnzbzTfyh\noaG5HteuXSM+Pp7Q0NBCXbwwC7GAeiZPIyMjtm7dmu8xeclWZvPVka+os6SO/JFUM8JvkPsg+biC\nSj3lnXNVZ972ehsJidmBs/UaS7ZSPW3ukegj3Eu5R98NfbmddJtWtVrxbddv9RobPE38+68Xbvrx\n8iT6cTS3km5RzbSa1liGid4TX3CWml8DPwwUBhy4foBzseewNrOW3wyeV9mkMqffPk3whGCMDY21\n9kShwqoAABsSSURBVBkoDOQFkyxNLLVuyBY3zRxdmjc7fcnV4i+BUk++fRebN29OkyZNsLHJe/bD\ngICAPLc/S7MQi7OzMz169GD48OG55txXKpV88sknvP766y/9h/bd8e/4IvALAOpUrcPMdjPlgTr9\nG/Vn8p7JSEgvvLlbUXzW/jP+OPcHmyM2ExYblmtek5KQkJ7A4H8GExCt/bvjUtWF7UO3l4opFxrb\nNsbR0pGYlBgCowPlHicVgSYBdnTpyPDXhpOalUpEXIRWr5z82FrY0sG5g3yN0U1Hv/B+y4s+QXg7\neHP09lGa12yu0xllS0viz1Xj12ep54cffsDS0hJzc3PGjRvHzp07CQgIkB8FKcxCLADLli1j0KBB\n2NravlTgKknFH+f+AGBln5VETYniHe935P0Olg4MbTIUOwu7l+oOVl45VnHk3ebqqTEWnlhY4s9/\n6eElfH7zISA6ADsLO3xq+mBmpJ49dPfw3aVm0RuFQiH/Hn24/8MS6VpXWmgSoK+zLwBve7/N4tcX\nF3psS/9GT+/9ve2dd5mnMPo16ocCBYPdB7/yNQqjec3mmBubczn+sl7r/JpSj625OgfqtdTzwQcf\ncPz4cZYuXcrdu3fp0qULgwcPJiwsrFAXLsxCLDExMezYsUOeq+dlJoI7eusoNx/fxKmKE6M9RufZ\nMljbfy33p98vl711XsWUllMA2HFlB0+y819Ep7hlKbPoua4nNx/fxNvBm7PvnCXk7RBSPk3h/vT7\nNLZrXGKxFMaMNjOobVWb8Afhcr06KjGq3PfvlxP//7eEX9Zg98FUM61G7wa9cbd1f+U4Orp05Mnn\nT3S+GJKJoUmpqPNrSj2aslZJtPgLfCuvW7cuffv2JT09nbVr13L16lWaNSueMsEHH3zAggULUCgU\nSJL0wlLPR599xLnYc3jae/JG9zf48/GfAIzxGJPvCM/ysJhKcapTrQ7NazbnzL0z7IvaR3+3kumd\n9c+lf7iTfAe36m4EjQvC3NgcKL0/H3NjcxZ1W8SQzUOYdXgWkQmRLAtZRo4qh82DNzPQfaC+Qyx2\nz9b3X2Zahmc5WDpw58M7L93vPi9FXZCksHxdfPG/4U9gdCBDGg8pked8nqbF38imEcduHytSjb/I\nC7Fcv36dDRs2sGPHDmrXrs3QoUP5/PPP81wdKy+FWYjl7NmzDBs2DID4+Hj27t2LsbExffrkrik+\nbPGQQ+GHiKsRx1Svqfzz0z8AjG02tlDxCGpD3Idw5t4ZNkVsKpHEL0kSP576EVDPqa5J+qXdIPdB\ndHTuyJFbR1gcvFje/kPwD+Um8R++eZg3t77JiNdGUN9a3e2yo0vHItXVLUwsiiu8ElEa6vyaGn9x\ntPgLuxCLQsqnmW1gYMBrr71Gv379qFJFPTJP0zJXKBRMmzatwCA8PT1ZsmQJtWvX5vXXX+fYsWP5\nLqg+btw4/Pz8GDAgd08AhUKB8ZfGZKuyAXU/7IdpD2lfuz1B44IKjEN46uajm7gudcXC2IK4j+J0\nfkP1xJ0TtF3ZFhszG+58eKdU3MAtrIsPL+L7p3qo//zO8+m3sR+PMx5zasIpWjjqZmBRSZEkCZ/f\nfOSZMA0VhiglJT/2+JGprabqObqSk6XMotq31UjPTid2eqxe7jU1+bkJl+IusWv4Lvz+9qNWlVrc\n+bB4Bslqcvbz8n1r/+KLLxgwYAAGBgakpqaSmppKSkqK/G9haBZi6dq1K++99568EItmMZaXka3K\npqNzRxwqO/Aw7SEA45qNe+nrVHSack9adlqJ9FX/MVjd2p/oPbFMJX1Qz9768KOHHB9/nI4uHeV+\n6UtOLdFzZIWjVCnxv+6vtYiNRmB0IGfvn8XGzAbXaq7yehSvWt8vq56t8+ur1a8p9TS0+f8Wf1qc\n7rsSS2UAIDEH6eito1J4bLhk9Y2VZPOtjZSckazv0Mqk7459JzEHadjm/2vvTKOiurI2/BYgCE4p\nRxQFLSQIGigUBERFRBSDDEtUMA7pgKJxNst0nNqUok2DEYVIVIwILa2gxOD0AREVUYyAShwYVGwF\nB2IAmQQZitrfj2puUgFUDEUVcp617o8695579ruqzq57z7C3p1zbeVTyiFQ3q5LaFjV6UvZErm21\nBXmlee1CT8mrEvK96EuDAgcRRCCtbVqU/jRd5pqpkVMJItDmpM1UVl1GS04voc9iP6N6Sb2CrFYc\n/pf9CSKQe7R7m7ctkUio05ZOBBGoqraKNLdqEkRoNd/WnIuX3yLZVsZ8gDlsBtnApJ8Jcpbl4Obi\nmwrf5dleadjcduruKey/vh/PKp61ehtpT9NgG26LeqrHTOOZ0Omu0+pttDW6PXThbuwOsUSMkPQQ\nRZvTJJfyLsFkjwn+ceEfeFz+GD00eqCqrgrOR5y5XLa3n99GXG4ctDppYanFUnTX6I4QpxCEuYbJ\ndd28sjLnozlQ4angxN0T3GhCW1FZV4k6SR001TSh2UkTfbpIl3TKe2VPu/mWV1ut5pZ7anfVfi8c\niaIYwh8Cm0E2qKyrhM9pH+gE6qD/jv6w+t4Ki04teuOPvyEXqlgibvL87rTdGBs2FnllebAYYIFv\nJn8jDxkKYZXlKgBASHpIox2XiqSythKbLmzChIgJeFz+GBYDLJAwNwHP1zzHxCET8evLX/Hx4Y8R\nkBKAFfHSZb1eQi/00mp6g2ZHQqe7DpwMnCCWiBHxS8SbK7QiDRO7Dd9DW63lbzeOX96bOToap2af\nQui0ULgYukBTTRO/vvwVqU9TEXojFBb7LXCjoOmwHGKJGE6HnWAbbgu3KDe8rH3JnSMifPnTl1ge\ntxx1kjqstFyJy16XMaDbgCbv1R6xHmSNSYJJKK8px/aUtt8I92dqxDXYdXUXBMEC+Cb7goiwbuw6\npHilYLL+ZGioaeCHWT/AqLcRsgqz8FXiV0h6lAQVngq+sH7zAo2OQkMU0e8zvm/TUB0N4/sNAQO5\nJ345h21463RTt27dgp+fH16+fIlVq1bB3r5tc9P+OaYH46/B1+Rj4aiFWDhqIcQSMQoqCvCw9CHW\nJq7Fz09+xtiwsfjU9FNod9WG3gd6mGk8E13Uu2Bt4louQfaZ+2cwIXwCQp1DISEJdqftRsTNCKip\nqCHcNRxzTOYoWKV82DZxGxL/m4jgtGCstFopk85RnuS+yMW1Z9fgMdyDe/tdeGohDt2SxtWxGGCB\n7Q7bYTvYVqbeB50/wLn557Dv+j5U1VVBlacK60HWGMIf0iZ2twc+NvgY/bv2x73ie7iUfwnj9ca3\nSbsNb429NKVP/L21pKse5b6Jq7lJgYKCApnPf/vb36ikpIRKS0vJ0tKyVSYe3pbXmMloZarrqmnB\niQUEEWSOPgF9uHK1LWoUnhFOgiBBo+u0tmlR3P04RcuQO65HXAki0PL/W94m7UkkEhoeMpwgAu1J\n30NERL8U/EIQgTR8NehEzgmSSCRtYsv7yvrE9QQRaN7xeW3WZtTtKJmJ5dXxqwkiUMDlgFa5f3O+\ns9mhnsWLF2PLli2orpZm4tHW1kZUVBSio6PRt29f+f4bMRSGhpoGQp1DkTgvEUGOQdg4biMsdSxR\nWFWI7zOkyVJ2TtmJT4Wf4mfvn+Fq6AqDngYw0zaD41BHnJ9/notw+T7ja+cLHnjYd30fkvPkv5ck\nPjcemYWZAID159bjt8rfuACFn5t/DhdDlxaFPGE0piHl57GsY40Cp8mLhqGehif+thrjb3aoJzY2\nFqdOncK0adMwf/58fP3110hISEBFRQUiIyPlahRDsfB4PNgL7GEvkA7nbbHbgoQHCdh1dRdG9h+J\npRZLAUg30sV6xirSVIXxUb+PMN90PiJuRsA23BafCT9DgEMA96re2gRelSaT76beDSXVJZgePR0p\nj1Og1UkLa8eulUubHQ0BX4CpQ6ciLjcOoddDsW7cOrm3yQ31NEzuNrOq53j2cTwtf4r5pvPRo3OP\nv9zuayd3nZ2dkZCQgNLSUri4uIDP52Pu3LncTt634U0x+f/zn//A1NQUpqam+OSTT3Dv3r2Wq2DI\nFR6PB8ehjoifG49/2v+TPVn+j73T9mLT+E1QV1XHwV8OwnC3IfZf3496ST2OZh6FxX4LeMZ4vvVk\nIREhpyiHy3fbwM1fbyLxv4no0qkLzs0/B3VVdaQ8TgEArBi9Qmkim74PrLKSrtranb4btfW1cm+v\n4c2Cm9zVknX8EpJgbeJauB91x4r4FdDdpYuvzn6Fgoq/ljKyWcd//vx5uLm5wdPTE9bW1oiOjkZs\nbCw8PDzw4MGDt26gISZ/YmIiQkJCUFQk+wojEAiQnJyMmzdvYsqUKfD19X13NQxGG9JZrTM2223G\n7c9vY5JgEl68egGf0z7os70PPGI8cO3ZNURnRnP5Y4kIM4/NhN4uPdiG28LrhBdO3zsNCUlQWFmI\nmcdmwijECAMDB2L9ufXIfZELCUm4WEHeZt6w0LHgEsR31+iOL22+bNY+RstxEDjAuI8xnlU8Q0xW\njNzbe1Hd9ORuUVURKmsr4RHjAf8Uf6jyVGGpY4nymnIEXAnA4KDBWHByAe4W3X2ndpuN1WNtbY2E\nhARUVlZi3rx5SEyU5iC9f/8+Nm7ciOjo6DfevKysDBMmTEBGRgYAYMWKFZgyZQqcnJyavL6oqAgj\nR45Efn6+rJHNxJtgMJQFIsLRzKNYnbAaBS8LMLD7QAzvMxwJDxLgbuSOmFkxOJ59HO5HGwd40+fr\no7ymHIVVhVzMnAY0VDW4GFX3l9+HgC9Atbga68+tx3i98XAb5tZmGjsK+6/vh89pH5gPMEfagjS5\nvuFOOzwNZ+6fwQnPE3AxdMG94nsw3G0Ifmc+uml0Q35ZPrprdEfMzBg46Dsg7WkaAlICcDz7OAgE\nHnhwHeaKr2y+apTGEniHWD19+/bF0aNHceTIEejp6XHlBgYGb+X0gbeLyf9HQkND4ezs/Fb3ZjCU\nCR6PB48RHshZloO4OXG4v/w+wlzDoKaihticWDwqfYRNF6STsVvttuLsvLPws/eDXg89PCh5gMKq\nQtgNtkPuilykeKXAc4Qn+nbpi5r6GkhIgtkjZkPAFwCQvmkETglkTl9OzDWZi16avXDt2TVceXyl\nyWvEEjGq6qpkyqrqqpBflt/k9cVVxRi2exgGBg7ErGOzsCd9D2rraxuv4//fUE9JdQnyy/Ih1Bbi\nitcVOOhLk9KP1hmNmFkxuLvsLnxG+kBdVR2xObGwPmCN8QfH48y9M5CQ5M0im1sGVFZWRpGRkRQT\nE0OVlZXvtJTo7Nmz5On5ezyYPXv20MaNG5u91sjIiEpKShqde42ZDIZS4xnjSRCBTPaYEEQgvZ16\nVF1XzZ0X14vp1N1TFHU7qsk4OeXV5ZRdmE014pq2NLvD07C0c+7xuY3Ovap7RWMOjCENXw3aenEr\n1YhrKP5+PA0MHEiqm1XpzL0zjepsOLeh0dLnz2I/I4NgA4IIlPVbFhFJl+3q7tSlLtu6UOCVQKqr\nr3utnQUVBbQucR318OvB3Xd4yHCK+CWCasQ1zfrOZod6WoM/D/UsX74cjo6OjYZ6bt26henTpyM+\nPh5Dhw5tdB8ej4evv/49SfifY04zGMpKQ1jqBg64HICXmZcCLWK8DbkvcmHwrQG6qnfF8zXPZfJI\nLDy5kFvaDIDL0dxAH60+uPX5LW5jX8mrEujt0kNFbQWOuB9BaXUpvkj4Aq/Ev2fB+2NI6NLqUvDA\na9HqnYqaCoReD8W/Iv+FoizpPGo3jW6o+Kmi6WHylv4TthShUEgXL16khw8fkqGhIRUWFsqcz8vL\no6FDh9LVq1ebvUcbmMlgyAWJREIj940kiEAGwQZvfIJjKA8WoRYEEejonaNc2f7r+wkiUOetnem7\ntO9IP0ifIAKp+6qT3yU/so+wJ4hAkw9N5t7gvr7wNUEEcvi3A3efw7cOyzz914prW8XmGnENHcw4\nSMYhxtJ7N+M75e5Rk5KSaNiwYaSvr09BQUFERLR3717au3cvERF5e3tTz549SSgUklAoJAsLi8ZG\nMsfPaMfE348nnR06HWJH8/vEzp93EkQgtyg3IiK68ewGafhqEESggxkHiYioqraKwm6EUXZhNhER\nPS1/Sr38exFEIO8T3nQp7xI3DJP8KFnm/msS1hBEoA/+9UGr214vqaeTOScVM9TTWrBVPQwGo60p\nqCiATqAOOql2wqOVjzDx3xORU5QDn5E+2OfcfDKpk3dPwjXKVaZswuAJuPDpBZkysUSMTRc2QcAX\ncEHiWpvmfCdz/AwGg9EM9v+2x/mH5/Fhrw9xr/gejHob4brP9Tdmk0t9koqImxGIyYpBaXUpLnx6\nATa6Nq+tIw+Y42cwGIwWcuDGASw4JX0a76TSCakLUmHW3+yt64slYlTWVrZKmIV3ocXr+BkMBqOj\nM91oOtRV1QEAWydubZHTBwA1FTWFOf3XwZ74GQwG4zWE/xKOBy8eQDRBBFUVVUWb0yLYUA+DwWB0\nMNhQD4PBYDAAMMfPYDAYHQ7m+BkMBqODIVfH/6YkLACwbt06CAQCjBo1Cjk5OfI0h8FgMBiQs+N/\nUxKWtLQ0XLp0CdeuXcOaNWuwZs0aeZqjFCQlJSnahFbhfdEBMC3KyvuiRRl1yM3xl5WVAQDGjx8P\nPT09TJ48GampqTLXpKamYsaMGejZsydmz56N7OxseZmjNCjjj+BdeF90AEyLsvK+aFFGHXJz/G+T\nhCUtLQ3Gxsbc5z59+rQorSODwWAwWo5CJ3dJGh1Upowl8mYwGAw50+rxQP9HaWkpCYVC7vOyZcvo\n9OnTMtcEBwdTYGAg91kgEDR5L319fQLADnawgx3saMFhamrapE9Vg5zo0UManyI5ORm6uro4e/as\nTBYtALC0tMQXX3yB+fPnIyEhAUZGRk3eKzc3V15mMhgMRodDbo4fAHbt2oVFixahrq4OK1asQO/e\nvbFvnzSO9aJFizB69GiMHTsW5ubm6NmzJyIjI+VpDoPBYDDQTmL1MBgMBqP1UMjkrpeXF/r164eP\nPvqIK8vKysK0adMgFArh7OzMLe0kIqxcuRKjRo3CmDFj8P33vyc5zs7OxsiRIyEQCLBhw4Y21wE0\nreXu3buYM2cOjI2N4enpiVevfk+qHBwcDAMDAxgbG+Py5ctceXvTcvbsWZibm8PExARubm5IS0vj\n6ihaS0u/EwDIz89H165dsWPHDq5M0TqAlmvJzc2FnZ0dDA0NYWJigpqaGgDtT4sy9/vHjx/Dzs4O\nw4cPx4QJE3D48GEAQEVFBVxdXaGrqws3Nze8fPmSq6N0/f4vzuG+E8nJyXTjxg0aMWIEV+bh4UHR\n0dFERHT48GHy9PQkIqK4uDhycnIiIqLy8nLS09OjkpISIiKaOnUqRUVFUVFREdnY2FB6enobK2la\ny+zZs+noUWmCZj8/PwoODiYioufPn5OhoSHl5eVRUlISmZmZcXXam5aMjAwqKCggIqKLFy/SuHHj\nuDqK1tISHQ24u7vTrFmz6JtvvuHKFK2DqOVabGxs6NixY0RE9OLFC6qvlyb8bm9alLnfFxQUUEZG\nBhERFRYW0pAhQ6i8vJz8/f1p2bJlVF1dTUuXLqXt27cTkXL2e4U88Y8bNw58Pl+mrEePHiguLoZE\nIkFxcTF3vnv37qiqqkJVVRVKS0vB4/GgpaUFQPq04OHhgV69emH69OmNNogpSktSUhKcnZ0BAC4u\nLkhJSQEg3bDm6OgIXV1d2Nragoi4p4L2pkUoFEJbW5urd+fOHdTX1wNQvJaW6ACA2NhYCAQCmT0l\ngOJ1AC3T8ttvv4HH42HGjBkAAD6fDxUVaRdvb1qUud9ra2tDKBQCAHr37o3hw4cjPT0daWlp8Pb2\nhoaGBry8vDi7lLHfK02Qtu3btyMoKAh8Ph8hISHw9/cHAIwZMwZWVlbo168fBAIB9u7dC3V1deTm\n5qJv375c/aY2iCkKBwcHhIeHo6amBhEREbhy5QoA6Q/gjyuXDA0NkZqa2i61/JEjR47A2toaqqqq\nSqulOR0vX75EQEAARCKRzPXKqgNoXstPP/0EPp8PBwcHTJo0CUeOHAHQPrW0l36fm5uLzMxMjB49\nWmbT6rBhw7jhT2Xs90rj+L28vLB8+XIUFxdj8eLF8Pb2BgCcPn0a6enpyM/PR2ZmJhYsWIDi4uJG\nG7/+/FmRbN68GXfu3IGVlRXq6+uhqdl8YuamNqy1Jy23b9/Gpk2bsHv3bgCNbVcWLc3pEIlEWL16\nNbS0tGRsVVYdQPNaqqurcfXqVezbtw+RkZHw8/NDXl5eu9TSHvp9RUUFPDw8sHPnTnTt2rVFtii6\n38t1OWdLuHz5Mg4dOgQ1NTV4e3vDz88PgHQfgLu7O/h8Pvh8PsaMGYP09HQ4Ojri+fPnXP2srCxY\nWVkpynwZBg8ezDnCuLg41NbWApDuW0hMTOSuy8nJgYWFBbp169butADAkydPMGPGDBw6dAhDhgwB\nABgYGCilluZ0pKWl4YcffsDf//53lJaWQkVFBZqamliyZIlS6gCa12JtbQ1bW1sIBAIAwNSpU5GQ\nkAAfH592p0XZ+31dXR3c3d0xb948uLq6AgAsLCyQnZ0NMzMzZGdnw8LCAoBy9nuleeK3s7PDyZMn\nAQAnTpyAg4MDAMDe3h7x8fGora1FUVERrl27hrFjxwKQvk5FRUWhqKgIP/74IywtLRVm/x8pLCwE\nADx9+hTfffcdpkyZAgAYPXo0EhISkJ+fj6SkJKioqKBbt24A2p+W0tJSODk5wd/fH9bW1jJ1lFFL\nczqSk5Px8OFDPHz4EKtWrcKGDRuwZMkSAMqpA2hei5GREbKyslBSUoLKykpcuHABEydOBND+tChz\nvycieHt7Y8SIEVi1ahVXbmlpibCwMLx69QphYWGcE1fKft8mU8h/wtPTk/r370+dOnWigQMHUlhY\nGN25c4c8PT3JxMSEPvnkE8rOziYiIrFYTOvXrydzc3MaP348HTp0iLtPZmYmmZmZ0eDBg2nt2rWK\nkNJIy4EDBygoKIg+/PBDMjAwoG3btslcv2vXLtLX1ycjIyNKTk7mytubFl9fX+rSpQsJhULuKCws\nVAotLf1OGhCJRLRjxw7us6J1ELVcy48//kjGxsZkZWVF3377LVfe3rQoc7+/dOkS8Xg8MjU15X77\ncXFxVF5eTi4uLjRo0CBydXWliooKro6y9Xu2gYvBYDA6GEoz1MNgMBiMtoE5fgaDwehgMMfPYDAY\nHQzm+BkMBqODwRw/g8FgdDCY42cwGIwOBnP8DAaD0cFgjp/BYDA6GP8PKnvPB5O3CoMAAAAASUVO\nRK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0xb944748>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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29gYAeH19RSqVAgAkk0kMBgMcj0domobpdIp4\nPA7gz+1Ur9eDpmno9/snf9Z+bqqqAgBWqxXa7TbS6TQAIBKJYDgc4uPjA+PxGBaLBTabDcDlZdls\nNshkMqjX67i7u/syx4hZTuWQZRnL5RLL5RKiKOL5+RnlchmAMXMAp7N4vV4sFgus12vs93uMRiM8\nPDwAuLwsRq57IkKpVILf74coivp4NBqFJEk4HA6QJElv4oas+7O8Qv5HPp8nu91OVquVHA4HSZJE\ns9mM8vk8BQIBKhQKpCgKERF9fn7S09MT3d7eUiKRoG63q+9nPp9TOBymm5sbenx8/Iko/2XpdDr0\n8vJCHo+H3G431Wq1L9s3m01yuVzk9XpJlmV9/NKyVKtVur6+plAopC+qqhoiy3ePyV+VSoUajYa+\n/tM5iL6fpd/vk8/no1gsRq1WSx+/tCxGrvvJZEJXV1cUDAb1c//9/Z222y1ls1lyOp2Uy+Vot9vp\nc4xW9/wBF2OMmYxhHvUwxhg7D278jDFmMtz4GWPMZLjxM8aYyXDjZ4wxk+HGzxhjJsONnzHGTIYb\nP2OMmcxvbLOj2EVD9MMAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0xda7a748>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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4efMmQUFBbNmypVr3HjPLHbiEEEWysrIYPnw4mZmZjBgxQpK+EahUKkaNGsWh\nQ4do0aIFEREReHt78+WXX2o2iKopZMYvhBl4+umnWb58OW5ubhw+fJgGDRqYOqRq7dq1a4wYMYL9\n+/cDRft9P/PMM4wYMYJWrVqZOLqKI6UeIcxQfn4+n332GbNmzcLGxoY///wTHx8fU4dVIyiKwqZN\nm3j11Vc5ffq05vmOHTsyePBgBg8eTIcOHar0rl+S+IUwI2lpaSxbtozPP/+c+Ph4AL799luefPJJ\nE0dW8+Tn5/Pzzz+zbt06tmzZQmZmpua1Dh068MwzzzB27FgaNmxowijvjSR+IczIjBkzNHfjuru7\n89prr/HUU0+ZNihBVlYWO3fu5KeffmLz5s2kpKQARTnIw8ODoKAgAgMDCQwMxNvbm1q1apk44rKZ\nJPHv27ePSZMmkZ+fz7Rp05g6dWqJY1599VXWrVuHg4MDq1ev1urvowlSEr+oZs6cOcMLL7zA9OnT\n6devHxYWss7C3OTk5PDTTz+xbNky9u7dS25urtbrlpaWtGjRAldX11K/HBwcTBT5HSZJ/H5+fixa\ntIgWLVrQt29fDhw4QOPGjTWvR0ZGMnPmTLZs2cL27dtZvXo127ZtMzh4IYSoDDk5ORw7doyIiAgi\nIyOJiIjgzJkzZb6nQYMGml8CM2bMoGvXrpUU7R2Vnvjv7tUzbdo0+vbtq9WrZ/HixRQUFDBjxgyg\n6Mp6aR06JfELIcxNdnY2Fy9e5Pz586V+Fb9WsHXrVgYOHFjpMerKnVbG+kBdbZmLJ/7IyEjGjRun\neezo6Mi5c+dwc3MzVlhCCFEhbGxs8PDwKLU8rSgKSUlJml8CAQEBJohQN6MlfkMoRb2CtJ4rbemU\nj49PlV5SJYQQpqBrabDREn9AQAAvvfSS5nFMTAz9+vXTOiYoKIjY2Fj69u0LQFJSEq6uriXOJRsq\nCyFExTHaUgJ7e3ugaGXPxYsX2bFjB0FBQVrHBAUFsWHDBlJSUlizZg2enp7GCkcIIcS/jFrq+fTT\nT5k0aRJ5eXlMmzaNxo0b89VXXwEwadIkAgMD6datG506daJhw4aEhYUZMxwhhBBUkRu4hBBCVBy5\na0QIIWoYSfxCCFHDSOIXQogaRhK/EELUMJL4hRCihpHEL4QQNYwkfiGEqGEk8QshRA0jiV8IIWoY\nSfxCCFHDSOIXQogaxqiJf9++fXh6euLu7s7ixYtLPSYqKoqAgAA8PT0JCQkxZjhCCCEw8Z67iqLg\n7e3NwoUO1ciGAAAgAElEQVQL6d27N8nJyVqvCyGEqHhGm/HfuHEDgB49etCiRQv+85//EBERoXXM\n4cOH8fb2pnfv3gCS9IUQohIYLfHr2nO3uO3bt6NSqejevTuhoaFs377dWOEIIYT4l0n33M3Ozubo\n0aPs3LmT27dv06dPH06ePImtra3Wca1bt+bcuXMmilIIIaomHx+fUreuNdqMPyAggFOnTmkex8TE\n0LlzZ61jgoODeeSRR3B2dsbV1ZVOnTqxb9++Euc6d+6cZmP2qv715ptvmjwGGYeMpSp8VYexdP+m\nO/SEX07/YpLPP3bsWKn52aR77nbu3Jm9e/dy+/ZtUlNTiY6OpmvXrsYKSQghKk1BYQHR16IB6Nis\no4mj0WbSPXcbNWrE+PHj6dSpE46Ojrz99tvY2dkZMyQhhKgUp1NOcyv3FvWt6+NU18nU4WgxauLv\n2bMncXFxWs9NmjRJ6/Fzzz3Hc889Z8wwzEp1uVehuowDZCzmqqqP5fA/hwHwDvI2cSQlVYnN1lUq\nFVUgTCGE0Jjx2wwWRSzivYff47Xur5kkBl25U1o2CCGEEahn/B2bmld9HyTxCyFEhTPnC7sgiV8I\nISrcqeRT3M67TcsGLWlcx/w6EkjiF0KICmbOZR6QxC+EEBVOnfg7Netk4khKJ4lfCCEq2F9X/wIk\n8QshRI2QX5ivubDr39TfxNGUThK/EEJUoNikWLLzs3F1cKWhbUNTh1MqSfxCCFGB/vrHvMs8IIlf\nCCEqlLmv6AET77kbHh6Ovb09fn5++Pn58e677xozHCGEMLrDV817RQ8YuUnb9OnT+eqrrzR77o4e\nPbrE9oo9e/Zky5YtxgxDCCEqRV5BHseuFfXAN9cLu2DiPXcBab4mhKg2YpJiyCnIoXXD1jSwaWDq\ncHQy6Z67KpWKQ4cO4evry8yZM2V7RSFElWbuN26pmfTirr+/P5cvXyYqKgovLy+mT59uynCEEOK+\naFb0NDXvxG+0Gn9AQAAvvfSS5nFMTAz9+vXTOqZevXqa7ydOnMjcuXPJycnB2tq6xPneeustzfch\nISFVfpMGIUT1o76wa6qOnOHh4YSHh+s9zqCNWCIiItizZw9z5swhPj6ea9euERgYqPfkfn5+LFq0\nCBcXF/r168eBAwe0Lu4mJibi5OSESqViy5YtLF68mB07dpQMUjZiEUKYudyCXOp9UI/cglxuzLlB\nfev6pg5JZ+7UO+N///33OXnyJNHR0cyZMwc7OzumTJnC4cOH9X6ovj13169fz5IlS7CyssLb25sF\nCxbcw9CEEML0Tl4/SW5BLm0btTWLpF8WvTP+4OBgDh48SMeOHYmOLuo/4e3tzfHjxyslQJAZvxDi\n/uQX5qMoCrUsaxntM77+62smbZvEmA5jWP3oaqN9Tnnc89aLDz74ILm5uZrHcXFxtGnTpmKjE0II\nI8nMzaT5wuYM+n6QUT9Hs6LHzC/sggGJf9KkSYSGhnL9+nXGjx9PaGgozz//fGXEJoQQ9+1s6lmu\n3brGb2d/40LahXK//9mtz9L1m67kFuSWeZy5t2IuTm+Nv3fv3nTp0oVff/2VwsJCvvzyS2xtbSsj\nNiGEuG9Jt5M0328+tZkXg18s1/vXx64nLTuN6KvRBD0YVOox2fnZnEg8gQoVfk397iveyqBzxp+a\nmqr5ys7O5qGHHqJXr15kZWWRmppamTEKIcQ9S8oslvj/3lzu99/KvQVA1D9ROo85kXiCvMI8PBp7\nYFfbrvxBVjKdM35/f39UKpXON164UP4/mYQQorIl307WfH8g/gBJmUk41nU06L25BbnkFeYBZSf+\nqlTmgTIS/8WLFysxDCGEMI7ipZ5CpZCtp7cywW+CQe/NzM3UfB+VoDvxV4VWzMUZ3LLhxIkT7Nu3\nT/MlhBBVgbrU493EG4BNpzYZ/F51mQfgVPIpMnIySj2uqvToUdOb+Ddt2oS/vz/du3dn+vTphISE\nSN98IUSVoZ7xT/SbiAoVO87t0EroZSl+nIKiKekUl5WXRUxSDBYqC3ydfSsmaCPTm/gXL15MeHg4\nzZs3Jzo6mv3792Nvb18ZsQkhxH1TJ/72Tu3p/GBncgpy+P3c7wa99+5fEKWVe44nHie/MB/Pxp7U\nrV33/gOuBHoT/40bN6hfvz5OTk6kpqbStWtXTp48WRmxCSHEfVOXehzrOBL0QNFyTEPX85dI/KVc\n4K1qZR4wIPG7uLiQlpbG8OHDCQkJoVevXgQHB1dGbEKIGu6TQ58w/qfxFCqFmue2/r2VpzY/xbIj\ny7hy84rec6hX9TjWdcTB1gGAtOw0gz5fnfhd7F2A0hN/VVvRAwbcwLVpU9GFkOeee46+ffty9epV\nunbtavTAhBA1W35hPm/seYOs/CxmBc+ivVN7AObsmkNsUiwrj60EYF7IPN7o+Uap5yhUCknJSgGg\nkW0jHGz+TfxZ5Uv8Ac0CSL6dzMX0iyWWg1a1FT1g4KoeRVGIiYkhPT0dGxsbjhw5YtDJ9W22rhYV\nFYWVlRUbN240LGohRLUXlxRHVn4WAPE34oGiXHQx/SIAvV17A/Bj7I86z5GalUqhUoiDjQO1LGtp\nZvzpOekGxaBO/A1sGmj20FUneoDbebeJSYrBUmWJj7NPOUZnWnpn/EuXLuX999+nefPm1K5dW/P8\nnj179J7ckM3WCwoKeOWVV+jXr5904BRCaBQvq6gTf2pWKrfzbmNvbc/GERup/2F9TqecJr8wHyuL\nkulMU9//d4au3ge3vDN+u9p2BDQL4ED8AaL+ieIR90cAOHbtGIVKId5NvKlTq849jrTy6U38n3/+\nObGxsdjZle825OKbrQOazdYHDBigddzixYsZPnw4UVG6b44QQtQ8xWfW6sR/6cYloKjmXs+6Hg/W\nf5ArN69wMf0irRu2LnEO9YoexzpFiV9T6ilnjd+uth3tHNsB2r+QqmKZBwwo9Xh4eJCYmFjuExuy\n2XpCQgI//fQTzz33HECZLSKEEDVLaTN+9f+qL7Z6NvYEispCpVHP+BvXKao0aEo92eUr9djVtiPg\ngYCiuBKiNNUJ9VaLVenCLhgw4//www8JCAigXbt2NGhQ9GeSeqvE+zVjxgw+/PBDzWYBZZV6ZM9d\nIWqOnPwcjl07pnl8d+JvYd8CKEr8O87vIC45jtC2oSXOo1nRU+f+Sz1uDm442DiQmJnIlZtXaG7f\n/M7m6maS+A3dc1dv4n/ssceYPn06wcHBmhq/ITNzQzZb/+uvvxg1ahQAycnJ/Prrr9SqVYtBg0pu\nmFA88QshqrcT14u6XdrVtuNW7i1NiedS+p1SD4BH46KqQlyyjhn/be0af/FSj6IoenPZrbw7iV+l\nUtGpWSd2nN9B1D9RONg6EJcch5WFlaYdhKndPSmeN29eqcfpTfyKovD6669jYWFwWx8Azd29+/bt\nw8XFhR07dvDmm29qHXP+/HnN9+pNXkpL+kKImkVdO3+k9SP8GPsjCTcTyC/MJ/7mXaUeR8NKPeoZ\nv20tW6wtrckpyCE7PxvbWmXvLVJ8xg9Fyzp3nN9BVEIUTnWdNBd2baxs7me4lU5v4h84cCCTJk1i\n9OjRmlIPFLVt1kffZutCCFEadWuEbi7d2B+/n2u3rnE14+qdUk+DO6UeKGqgVtoM/u4ZPxSVexIz\nE0nLTit/4lfX+f+JwtnOGagaWy3eTW/iP3DgACqVinfeeUfreUOWc/bs2ZO4OO3fxLoS/ooVK/Se\nTwhhPv5O/pum9ZpS37p+hZzv2LVjZORm0M2lm9ZFUxd7F67dukb8jfgSpR6nuk442DiQlp3GtVvX\naFqvqdY5717VA0UXeBMzE0nLSqNZvWZlxqRuy1x8xg9Ff5E0sWsCQMdmVWtFDxiQ+A25UCCEqFmO\nXD1C4P8CGewxmA0jNtz3+RRFoW9YXxIzE5nSaQox14tuivJ19sXF3oXIhEhOp5wmMTMRKwsrmtoV\nJXiVSoWnoyeHLh8iLjmOpvWakpOfQ23L2qhUqhLr+OFOnd+QlT13z/gfqP8ATe2acvXWVbad3gaY\nz4Xd8ihf4V4IIYCw42EUKAX8euZXvZuQGyIlK4XEzKJl418e/pICpYB2Tu2oU6sOLvWLZveHLh8C\n4MH6D2JpYal5b/ElnedSz9Hsv80Yt2kcUHJVDxRb2WPAWv67Ez/cKffczLlJLYtadHDqcA8jNi1J\n/EKIclEUhY1xRe1VsvKzOHLVsBYuZVG3YWhWrxnN6zcH0HTSVJd19sfv13qsVnxlz9v73iY1K5Uf\nY38kMzdTU+pRr+OHO2v5DVnSWWri/7fcA9ChSQesrawNHKX5kMQvhCiXv67+pVleCbDvUuk78mXn\nZ7MkagleX3hpZuC6qNskBzQLIHpSNAv7LuStkLeAO4n+75S/tR6rqWf8v5/7nbDjYUDRXrlb/t5C\nbkEudWvV1bqI28C6aMZ/L6UedYxqVfHCLhhQ4we4desWu3fvJj39zv9RTzzxhNGCEkKYrw2xRTX9\nZvWa8U/GP+y7tI+Xu76sdUz4xXDGbhzLPxn/AEWz8ckdJ9PVpfTOvhfSixJ/qwataFSnETM6z9C8\ndneiV9+8paZe0nkm9QwAdWvVJTMvk7ATRb8E7t5Y3dDWzIVKIZl5RRd3i/fhKV7Tr4r1fTBgxv+/\n//2P3r178/TTT7Np0yZeeOEFtm/fXhmxCSHMjKIobIgrSvwf9PoAgAPxBygoLNA6blHEIv7J+IcO\nTh0Y4jEEgPmH5us8r7rU07JByxKvqZduqpX2i0C9jt7KwoqvQ78GYPvZojxVvL4PGNya+XbebaAo\n6Vuo7qTKRnUa0bZRWwA6P9i5zHOYK72Jf8WKFezbtw9HR0c2bdrE4cOHSUpK0vc2IUQ1dPL6Sc6k\nnqFxncaM6TCGlg1aciPnBieun9A6LjYpFoCwR8NYOmAp1pbW/PT3TzpvtNLM+B1alXitkW0jbK3u\nlGruTvyWFpaaRDzBdwIj2o3A3tqeAqXol9HdM371xV19rZlLK/OorR22lnXD19GhSdW7sAsGJP68\nvDxq165Ny5YtSUhIwM3NjcuXL1dGbEIIEzr8z2HWnlir1UNrfex6AIZ6DMXKwooeLYq67xav8+fk\n53A29SwWKgvaNGpDE7smjPcdDxTtqFWasmb8KpVKK9nfXeoBmBIwhS7Nu/BGzzewsrDS9OqHUmb8\nBl7cLSvx+zX1Y0S7EWW+35zpTfydOnUiLS2NJ598ku7du+Pl5cXQoUMrIzYhhAk9tfkpxmwco1nB\ncyv3FsujlwMwzHMYAD1cihL/3kt7Ne87nXKaQqUQNwc3TQlmVpdZqFCx6vgqTd1frfjmKq0alJzx\ng/Ysv7l98xKvP9vxWQ5OOMgD9R8AoF/rO33BdJV69F3cLSvxV3V6E/+SJUtwcHBgxIgRHDt2jJ07\nd/L+++9XRmxCCBNRFIWzqWcBmPX7LLLysnh///skZCTQsWlHzYy6+Ixf/ZeBumGa+qIrQOuGrRnm\nNYy8wjyWHVmm9VnXbl0jOz+bRraNqGddr9R41Im/oW1DgxJxX7e+mu+LL+UEw9fx1+jEf/DgQW7d\nKvo/YO/evaxatYrU1FSjByaEMJ3UrFRyCnKAos1Pnv/leRb8sQCAz/t/rrmBqnXD1jjbOZN8O1mT\n8NX1fa/GXlrnVJd77t4qsawyj5o68ZdW5ilNc/vmeDkWfb7OVT33Ueqp6vQm/smTJ1O3bl0uXLjA\nq6++ioWFBc8884xBJ9e35+5PP/2Ej48Pvr6+DBgwQHbhEsJMJGQkAEVLIwFWHF1BbkEuT/o8qbWS\nRaVS0bNFT6BoCScUS/yO2om/t2tvGtg04OT1k1oXecu6sKum/qVw9wqfsswOno17Q3etej9IqQcM\nSPxWVlaoVCpWrFjBlClTmDNnDhcvXjTo5Oo9d3fu3MkXX3xBcnKy1uu9e/fm2LFjHD16lJdffplZ\ns2bd0yCEEBUr4WZR4g9uHszIdiMBqG9dnw97f1ji2F6tegGw68Iu4E7iL17qAahtWVuztLP4rF9f\nfR9giMcQpnSawqvdXjV4DOP9xnN66ukSq4DqWddDhYqM3AzyC/N1vr9GJ/6WLVvy+uuv88MPPzBm\nzBgKCgrIzdXfm6P4nrstWrTQ7LlbXN26dbWOt7GpWj2thaiu1DP+B+o9wH/7/pf+7v1ZFrpM04q4\nuF6uRYl/z4U95OTncDrlNHCnlUJxj3k9BmgnfvVdu2WVeupb1+eLAV8Q+EDgvQ2oGAuVxZ0lnWXM\n+jWJv1YNTPxhYWG4urqydu1a7O3tSUhIYPbs2XpPbMieuwCbNm2iZcuWTJgwgf/973/lDF8IYQzq\nGf8D9R6gWb1m/DzmZx5r91ipx7o6uNKyQUvSstNYH7uevMI8Wti3KHWmXLzccyr5FKB9125lMWTv\n3btbMlcnels21K1bl/Hjx2seu7i48OSTT1ZYAEOHDmXo0KGsW7eOIUOGEB0dXepxsueuEJVHM+P/\nd3mkPr1a9WJ59HIWRxZdy7u7zKNW27I2g9sOZuWxlfwY8yOv93z9TqmnjBp/RSu+925UQhQzts9g\nUb9FWi0YqmKp57733O3atSsHDx7Ezs6uxK42KpWKmzdvlnliQ/bcLW7kyJFMmzaNrKwsbG1L7ooj\ne+4KUXmKl3oM0du1N8ujlxORUFTOvXtFT3GPeT3GymMrWXtyLa90e6XEBuqVofjeu6tPrObQ5UPM\n3D6TfePv3IhWFRO/oXvu6iz1HDx4EChq0JaRkaH1pS/pg/aeuxcvXmTHjh0EBQVpHXPu3DnN2t9f\nfvmFjh07lpr0hRCVS1PqMXDG/3Crh7Ue372ip7g+bn1oate0qHHbtsnkFebhbOesdxvEilS81HMg\n/gBQ1PZZ3fMfqmbiN9Q9tWV2cXHRfxB39tzt3bs3U6ZM0ey5q953d8OGDXTo0AE/Pz/Wr1/Pxx9/\nfC/hCCHuQV5BHutj15OVl1XitfLO+J3qOmltSKKr1ANF5Z5VQ1ehQsWKo0VbrlZmfR/utGaOTYrl\nfNp5zfMfHfxI8/2tvOqb+A1qy3y34r07yqJvz92XX36Zl19++e63CSEqweLIxcz6fRbP+j/LV6Ff\naZ7Pyc8h+XYylipLnOo6GXy+Xq16aZq1qXvk6zzWtRdv9nyTt/a+BZS9oscY1DP+rae3AuDf1J+Y\n6zFs+XsLsUmxeDl6yYxfCFH9/Hr2VwC+PfYtVzOuap5X99JpWq+p1haH+qhvlHK2c9Yk1rL8X4//\n09wDUNrST2NS1/jVu4cNaTtEc2exun20OvHXrV23lDNUbTpn/AsWLND5JnULByFE1ZSTn8PB+KLr\neLkFuXz656d81KeozFHeMo9aH7c+jPMeR9fmpW+2cjdLC0s2jNjA9ye/r/ROl+pVPWrdXLrhYu/C\n10e+ZvXx1XzR/4tqPePXmfgzMjJKrOZRmzFjRqnPCyGqhsiESLLys3CwcSAtO42lfy3lte6vYW9j\nX+4Lu2q1LWvz3dDvyvUeext7JnWapP/AClb8LxIrCysCHwikbu26eDb2JCYphpjrMTUz8cvySSGq\nrz0X9wAwtsNYYpJi2HNxD0sPL+WVbq/c84y/KlGXeqCovq8u53g38SYmKYZjiceqdeKXGr8QNdDu\nC7sBeKjVQ7zS9RUAFv65kNyCXK27dqur4qWe7i7dNd/7NPEB4Ni16p3472lVjxCi6srKy+KPK3+g\noqizZkPbhng5ehGbFMuOczvKfdduVVS81NPNpZvmex/nfxO/zPiFEMaiKAonr5/UbHpyr1KzUvH/\nyp+pv0zVe+wfV/4gtyAXH2cfGtVphEqlYnT70QD8EPtDjSv1FL8YrZ7xH7l6hPzCfGpZ1KK2Ze1K\nj8/YDE78x48fZ/To0YSGhrJr1y5jxiREtReZEMnUX6bSclFLOizpgO9SX70bg5Tlk0OfEH0tmmXR\ny8gryCvz2D0Xiur7D7V8SPOcuvXy5lObNd0yq/OMv3GdxoxoN4Jn/Z/V2qjF2c4ZxzqOZOZV3wZt\nUEap59q1azg732nBunDhQpYsWYJKpaJv37706tWrUgIUojrac2EPn0d9rnmcmZfJqeRTBDcPLve5\nrmdeZ1HEIgCy87M5ef0kfk39dB6/++K/9f1iid+9kTt+zn5EX4vmZk5RS5bqPONXqVSsG76u1Oe9\nm3hr9haorolf54x/8uTJvP3222RnZwPg7OzM999/z7p163ByMvxuPiFESY96Psrc7nOJeDpCs3F5\n8dYB5fHB/g+4nXdb8zgyIVLnsZdvXCYyIRJLlaVmv1y14mvp7a3tq+WNS4ZQl3ugBib+zZs34+fn\nx8CBA/nuu+948803adq0KXXq1CEsLKwyYxSi2nFv5M67D79L4AOBtG7YGoBzaec0r0/9ZSrui931\nln+u3LzCksNLAJjgOwEoO/Ev+GMB+YX5PNbuMext7LVeK574q3OZRx/1BV6ogYkfIDQ0lO3bt5Oe\nns6gQYNwcHDg8ccfp379+gZ/gL59d1evXo2Pjw8+Pj6MGTOG06dPl38UQlRhbg5uwJ0Zv6IorD6x\nmrOpZzX72Ooy/+B8cgpyGNluJM90LNoLO/KfosRfUFjA2I1jeW7bc+QX5pOUmcTXf30NUOoWhq4O\nrgQ0CwCqd5lHnxo949+9ezdDhgxh1KhRBAcHs27dOjZv3szIkSM5d+6crreVoG/fXVdXV/bt28ex\nY8fo27cv77zzzr2PRogqyNXBFbiT+K9nXictu2imr+5vr8u2M9sAeLHzi/g6+2JlYUXM9RgycjLY\nc3EPa06sYelfS3lm6zN8+uenZOVnMcB9AN5NvEs9n3p1j/qvkJrI09ETK4uiy5/VNfHrvLg7d+5c\ntm/fTmZmJuPGjWPnzp3897//5cyZM7z22musW1fywsjdiu+7C2j23R0wYIDmmODgOxezBgwYwOuv\nv37PgxGiKro78ccl3+loW1bZ5lL6Jc6nncfe2p5OzTphaWGJTxMf/rr6F0euHuG7Y3faJ3x79FtU\nFLVgea37azrPOTVoKvWs6zHAfYDOY6q72pa18WzsyYnrJ6pt4tc543dycuKHH35g7dq1tGhxZ2cc\nd3d3g5I+GL7vrtrXX39NaGioQecWorpobt8cKwsrEjISyM7PJi7pTuKP+ieKgsKCUt+nbrsQ0jJE\n00VTvRn57gu72RC3AYAlA5ZQy6IWCgo9WvSgS/MuOmOxsrDiaf+naVqvaYWMrapS1/lrXOJftWoV\ntra2tGjRotTafEXbuXMnYWFhvPfee0b/LCHMiZWFlWbbwQtpF4hNitW8div3lmZT8rupE3/xZZnq\nxL/wz4XczrtNN5duTO40mR8e+4GOTTvySZ9PjDWMaiXogaLdAp3tnPUcWTXpLPXUr1+fsWPH3tfJ\nDd139/jx40yePJnffvuNBg0alHgdZLN1Ub25OrhyLu0c59POa0o96s6ZEQkRtHNqp3W8oiiafjvF\ntz1UJ/6M3AwAnvB+AoAhHkMY4jHE6OOoLp72fxoHGwcGtKlaJa/73my9IhTfd9fFxYUdO3bw5ptv\nah0THx/PsGHDWL16Na1b676gJN1CRXVWvM6vnvGPbj+aLw9/SWRCJBP8Jmgdfy7tHFduXqFxncZa\nvxTaNmpLvdr1yMjNwNrSmsfaPVZ5g6hGbKxsGOt9fxNfU7jvzdYrir59d99++21SU1OZPHkyfn5+\nBAYGGjskIcyOOvEfuXaEq7euYmtlq0na6pU9a06sYdT6USTcTLjTXbPlQ1io7vwYW1pY0qlZJwAG\ntR1UYsMRIaASunPq23d32bJlLFu2zNhhCGHW1In/lzO/ANC2cVsCmgVgobLgROIJDsQf4MnNT5Jf\nmM/Ra0dpbt8c0K7vqz3u/TjR16KZGTyz8gYgqhSVYujO6SakUqkM3uBdiKoo+mo0/l/7ax6P6TCG\n1Y+uxmepD8cTj9PApgHp2enUqVVHqz3DqedP0bZxW1OELKoAXblT2jILYQbUM341z8aewJ3VJenZ\n6Xg09iDu+Ti8HL0AaFavGW0atancQEW1IIlfCDNgb2NPQ9uGmsfqxK9epWNlYUXY0DBc7F3Y9cQu\nhnoM5Z2H3tG5L7YQZZEduIQwE64OrqRmpQJoZvWPej7KmhNrGNthLB2bdQSK1pZvHLnRZHGKqk8S\nvxBmws3BjcP/HMbKwkrTK6ehbUN2P7nbxJGJ6kZKPUKYCXWdv3XD1tSyrGXiaER1JolfCDOhvlDb\n3qm9iSMR1Z2UeoQwE6Pbj+Z82nnGdqh6d4yKqkXW8QshRDUl6/iFEEIAkviFEKLGMXri17fn7qlT\npwgODsbGxoYFCxYYOxwhhKjxjJ749e2526hRIxYvXszs2bONHYpZMKRXdlVQXcYBMhZzVV3GYo7j\nMGriL77nbosWLTR77hbn6OhIp06dqFWrZqxbNsd/BPeiuowDZCzmqrqMxRzHYdTEX949d4UQQhif\nXNwVQoiaRjGi9PR0xdfXV/P4hRdeULZt21bqsW+99ZbyySeflPqam5ubAsiXfMmXfMlXOb58fHxK\nzakm33NXTSnjBq2zZ88aJT4hhKiJjH7n7t69e5k8eTJ5eXlMmzaNadOmafbbnTRpEteuXSMgIICb\nN29iYWFBvXr1iI2Nxc7OzphhCSFEjVUlWjYIIYSoOCa5uDthwgSaNGlChw4dNM/FxsYycOBAfH19\nCQ0N1WzQrigK06dPp2PHjnTp0kVrY/a4uDj8/f1xdXVl7ty5lT4OKH0sf//9N2PHjsXLy4tRo0aR\nlZWlee2zzz7D3d0dLy8vDhw4oHm+qo1lx44ddOrUCW9vb4YMGUJkZKTmPaYeS3n/mwDEx8djZ2en\ndROhqccB5R/L2bNneeihh2jbti3e3t7k5OQAVW8s5vxzf/nyZR566CHatWtHSEgIa9asASAjI4PB\ngwfj4uLCkCFDuHXrluY9Zvdzfx/Xbu/Zvn37lCNHjijt27fXPDdy5Ehl3bp1iqIoypo1a5RRo0Yp\niup8DScAAAXoSURBVKIov/76qzJgwABFURTl5s2bSosWLZS0tDRFURTlkUceUb7//nslOTlZ6dq1\nqxIVFVXJIyl9LKNHj1Z++OEHRVEU5YMPPlA+++wzRVEUJTExUWnbtq1y6dIlJTw8XPHz89O8p6qN\nJTo6Wrl69aqiKIqyd+9epXv37pr3mHos5RmH2rBhw5QRI0ZoLTAw9TgUpfxj6dq1q/Ljjz8qiqIo\nqampSkFBgaIoVW8s5vxzf/XqVSU6OlpRFEVJSkpSWrVqpdy8eVP56KOPlBdeeEHJzs5Wnn/+eWX+\n/PmKopjnz71JZvzdu3fHwcFB6zl7e3tSUlIoLCwkJSVF83r9+vW5ffs2t2/fJj09HZVKRZ06dYCi\n2cLIkSNp1KgRjz76aImbw0w1lvDwcEJDQwEYNGgQBw8eBCAiIoJ+/frh4uJCz549URRFMyuoamPx\n9fXF2dlZ876TJ09SUFAAmH4s5RkHwObNm3F1dcXLy0vrPaYeB5RvLNevX0elUjF8+HAAHBwcsLAo\n+hGvamMx5597Z2dnfH19AWjcuDHt2rUjKiqKyMhIJk6ciLW1NRMmTNDEZY4/92azjn/+/PksWrQI\nBwcHvvjiCz766CMAunTpQufOnWnSpAmurq4sXbqU2rVrc/bsWZycnDTvN6ebw/r06cO3335LTk4O\nK1eu5NChQ0DRPwBPT0/NcW3btiUiIqJKjqW4tWvXEhwcjKWlpdmORdc4bt26xccff8xbb72ldby5\njgN0j+X333/HwcGBPn360Lt3b9auXQtUzbFUlZ/7s2fPEhMTQ2BgoNYNqx4eHprypzn+3JtN4p8w\nYQJTp04lJSWFyZMnM3HiRAC2bdtGVFQU8fHxxMTE8PTTT5OSklJi+efdj01p3rx5nDx5ks6dO1NQ\nUICtra3OY1UqVYnnqtJYTpw4wRtvvMHnn38OlIzdXMaiaxxvvfUWL774InXq1NGK1VzHAbrHkp2d\nzZ9//slXX31FWFgYH3zwAZcuXaqSY6kKP/cZGRmMHDmShQsXYmdnV65YTP1zbzY7cB04cIBVq1Zh\nZWXFxIkT+eCDD4CiewCGDRuGg4MDDg4OdOnShaioKPr160diYqLm/bGxsXTu3NlU4Wtp2bKlJhH+\n+uuv5ObmAhAUFMTOnTs1x506dYqAgADq1atX5cYCcOXKFYYPH86qVato1aoVAO7u7mY5Fl3jiIyM\nZMOGDbz88sukp6djYWGBra0tU6ZMMctxgO6xBAcH07NnT1xdi/bufeSRR9i+fTvPPvtslRuLuf/c\n5+XlMWzYMMaNG8fgwYMBCAgIIC4uDj8/P+Li4ggICADM8+febGb8Dz30EFu2bAHgp59+ok+fPgD0\n6tWL3377jdzcXJKTkzl8+DDdunUDiv6c+v7770lOTmbTpk0EBQWZLP7ikpKSAEhISODLL7+kb9++\nAAQGBrJ9+3bi4+MJDw/X3LcAVW8s6enpDBgwgI8++ojg4GCt95jjWHSNY9++fVy4cIELFy4wY8YM\n5s6dy5QpUwDzHAfoHounpyexsbGkpaWRmZnJnj17ePjhh4GqNxZz/rlXFIWJEyfSvn17ZsyYoXk+\nKCiIb775hqysLL755htNEjfLn/tKuYR8l1GjRilNmzZVatWqpTz44IPKN998o5w8eVIZNWqU4u3t\nrYwZM0aJi4tTFEVR8vPzlddee03p1KmT0qNHD2XVqlWa88TExCh+fn5Ky5YtlTlz5phiKCXGsnz5\ncmXRokVKmzZtFHd3d+W9997TOv7TTz9V3NzcFE9PT2Xfvn2a56vaWN555x2lbt26iq+vr+YrKSnJ\nLMZS3v8mam+99ZayYMECzWNTj0NRyj+WTZs2KV5eXkrnzp2VxYsXa56vamMx55/7/fv3KyqVSvHx\n8dH82//111+VmzdvKoMGDVKaN2+uDB48WMnIyNC8x9x+7uUGLiGEqGHMptQjhBCickjiF0KIGkYS\nvxBC1DCS+IUQooaRxC+EEDWMJH4hhKhhJPELIUQNI4lfCCFqmP8HaYku9jDzCzYAAAAASUVORK5C\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0xb910518>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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jxtfCw8OZt7c3y8nJYYGBgWzs2LE1HqcgTEJIPRQVFTFbW1sGgB05ckTT4TQJ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\nJSgpKYGhoaHUa7SHL2nOFvddjDMJZ3A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97COJ4zhYGlmq/sMQtbNuZS2b/P8Z+d94cgOA\n+Jujvo6+ajZwz8zMhI3Ny+lHW7duxc6dO8FxHEaOHKlU8gcU7+G7YcMGPH/+HAsXipdE6+rqIiIi\nQqlzE9Jc2bayFZK/5M1eXifzTnC3cUdMZgz+SvxLuKnH75bFl30i0iOENsLV5/mTVwN/0xd4mfz5\nef4iJgIA9Gtft5IPUEvyX7hwITw8PLBy5UoYGBjAxsYGf/zxB7S0tNC2rezIQh5+D19J/P69ALBn\nzx7s2bOnzoET0py1M2mH+zni/y8k6/2SJrlMQkxmDP516V/IK8uDk4WTsIFKO5N26GjaEan5qYjL\niUM3q261jvxJ8yX577N62YdX13o/UMsN32PHjsHd3R3jxo3D/v37sW7dOtja2sLIyAgBAQF1vhAh\n5CXJxVvykj+/WOhWlnhWHV/y4fGj/+tp1yFiIuQUi9fQUHnn1VLTyJ8v+/Bqas+hSK2zfXx8fHD2\n7Fnk5uZi/PjxaN26Nf6/vXuLaSpb4wD+3xVUKmoaVHBGLZdU5CIUpdKiiKhEDSqMGFtvL+AxxruJ\nMR5JHBxjCN5GRY0+SHQwKhrjJSSIOgqIjoDBB7lorIcj6qAC2hQVb/CdB8KWKvVYnNpd+H7Jfuhu\nd9n/0PVld3WvtRYsWIB+/TqeppQx9m3a7vhxc3GD/4COR8oHDwqGn+LTD8GfF/+2r/o3H9/En//5\nEy3UgoHygZ1e3INJU0dX/nJXOXoIrQPzPPt4ilNC28Jq8b9y5QoSEhJgMBig0+mQnZ2Ns2fPQq/X\n48GDBzb/IcbYJ23FP9QrVJzC93OCIIhX/zJBhhifGIvn2672rv73KpLOtw7rXxnBky52NW1TPACf\nir8gCGLXj3aIVpx+xxZW+/xTUlKQl5eH169fY+HChbh8+TJ27tyJ+/fvY8OGDcjOzrb5jzHGWkUp\noyBAwC8jfvnq6/RBeuz8aycmeE8Qf+RrM2rwKLjIXGB8YQTQWgTWj1tvt3NmjtFRtw/Q2vXzoulF\np/r7ga8U/0GDBuHkyZMwm81QKj99pVCpVFz4GftO4T+Fo/HfjeJoW2s0P2tQvKhYnO+9PbmrHCGe\nISirLYPcVY4/Ev6w+i2COa/23T7t+/oHyAeg2lTd6eJvtdsnKysLbm5uUCqVyMjI6NSbM8as69Oz\nzzdNAqb5WWP1Dp44Ves8Wbum7LJYApB1HR11+wBA+uR0/DbhN4xXju/U+wpERN99dnYmCAKc4DQZ\n++E+tnzE341/W50Pnjm/FmpBz8090UzNuPWvWxj90+hvPvZrtVMyc/swxmznInPhwt/FyQSZ+M3v\n8/v7vwd3EDLGmMT9Gv0rymrLLG79/V7c7cMYY10Ud/swxhizYPfiX1hYiICAAKhUqg7vGrp79y50\nOh169+79xbrBjDHG7MPuxf//reHr4eGBjIwMrF271t6nIgnfOte21HWVHABnkaqukkWqOexa/Nuv\n4atUKsU1fNsbOHAgwsPD4eraPeYjkeoHwVZdJQfAWaSqq2SRag67Fn9b1/BljDH2Y/APvowx1h2R\nHZlMJlKr1eLj5cuXU05OToevTU1Npe3bt3f4nJ+fHwHgjTfeeOPNhi00NNRqfbbrIK9vWcO3DX3l\nPn6j0WiX82OMse7K7oO8CgoKsGTJEnEN35UrV1qs4fv06VNoNBqYzWbIZDL07dsXlZWVcHd3t+dp\nMcZYt+YUI3wZY4z9sxzyg29SUhI8PT0xcuRIcV9lZSWmT58OtVqNGTNmiIu+ExFWrVqF0aNHIzIy\n0mKx96qqKowaNQq+vr5ISUn54TmAjrPcu3cP8+fPR2BgIAwGA5qamsTn9uzZA5VKhcDAQBQVFYn7\nnS3LpUuXEB4ejpCQECQkJKCkpEQ8xtFZbP2fAEBNTQ3c3d0tBho6Ogdgexaj0YiYmBj4+/sjJCQE\n7969A+B8WaTc7h89eoSYmBgEBQVhwoQJOHbsGACgsbER8fHxGDZsGBISEvDq1SvxGEm2+07+lvtd\nCgsLqaysjIKDg8V9er2esrOziYjo2LFjZDAYiIgoNzeX4uLiiIjIbDaTUqmkly9fEhHRtGnT6MSJ\nE1RfX09jx46l0tLSH5yk4yxz586lkydPEhFRWloa7dmzh4iInj17Rv7+/vTw4UPKz8+nsLAw8Rhn\ny3L79m2qra0lIqKCggKKiooSj3F0FltytElMTKQ5c+ZY3HTg6BxEtmcZO3YsnTp1ioiIXrx4Qc3N\nzUTkfFmk3O5ra2vp9u3bRERUV1dHPj4+ZDabKT09nZYvX05v376lZcuW0bZt24hIuu3eIVf+UVFR\nUCgUFvv69++PhoYGtLS0oKGhQXy+X79+ePPmDd68eQOTyQRBECCXywG0XjXo9Xp4eHhg1qxZXwwg\nc1SW/Px8zJgxAwAwc+ZMXL9+HQBQXFyMqVOnYtiwYYiOjgYRiVcHzpZFrVbDy8tLPK68vBzNzc0A\nHJ/FlhwAcPbsWfj6+iIwMNDiGEfnAGzL8vz5cwiCgNmzZwMAFAoFZLLWJu5sWaTc7r28vKBWqwEA\nAwYMQFBQEEpLS1FSUoLk5GT06tULSUlJ4nlJtd1L5j7/bdu2Yffu3VAoFNi3bx/S09MBAJGRkdBq\ntfD09ISvry8OHDiAnj17wmg0YtCgT6sbSWkAWWxsLA4fPox3797hyJEjuHHjBoDWD0FAQID4On9/\nfxQXFztllvaOHz8OnU6HHj16SDaLtRyvXr3C1q1bkZqaavF6qeYArGe5ePEiFAoFYmNjMXnyZBw/\nfhyAc2ZxlnZvNBpRUVGBMWPGWAxqHTFihNgVKtV2L5nin5SUhBUrVqChoQFLlixBcnIyACAnJwel\npaWoqalBRUUFFi1ahIaGhi9uDf38sSNt2rQJ5eXl0Gq1aG5uhpub9XVaBUH4Yp8zZblz5w42btyI\nvXv3Avjy3KWSxVqO1NRUrFmzBnK53OJcpZoDsJ7l7du3uHnzJg4ePIijR48iLS0NDx8+dMosztDu\nGxsbodfr8fvvv8Pd3d2mc5FCu5fMYi5FRUXIysqCi4sLkpOTkZaWBqB1jEBiYiIUCgUUCgUiIyNR\nWlqKqVOn4tmzZ+LxlZWV0Go7t5DxP83b21sshrm5uXj//j0AICIiApcvXxZfd/fuXWg0GvTt29fp\nsgDA48ePMXv2bGRlZcHHxwcAoFKpJJnFWo6SkhKcPn0a69atg8lkgkwmg5ubG5YuXSrJHID1LDqd\nDtHR0fD19QUATJs2DXl5eVi8eLHTZZF6u//w4QMSExOxcOFCxMfHAwA0Gg2qqqoQFhaGqqoqaDQa\nANJt95K58o+JicH58+cBAOfOnUNsbCwAYNKkSbhw4QLev3+P+vp63Lp1C+PGjQPQ+tXqxIkTqK+v\nx5kzZxAREeGw82+vrq4OAPDkyRPs378fU6ZMAQCMGTMGeXl5qKmpQX5+vjiuAXC+LCaTCXFxcUhP\nT4dOp7M4RopZrOUoLCxEdXU1qqursXr1aqSkpGDp0qUApJkDsJ4lICAAlZWVePnyJV6/fo2rV69i\n4sSJAJwvi5TbPREhOTkZwcHBWL16tbg/IiICmZmZaGpqQmZmpljIJdvuf9hPy+0YDAYaPHgwubq6\n0pAhQygzM5PKy8vJYDBQSEgIzZs3j6qqqoiI6OPHj7RhwwYKDw+n8ePHU1ZWlvg+FRUVFBYWRt7e\n3rR+/XpHRPkiy6FDh2j37t00fPhwUqlUtGXLFovX79q1i/z8/CggIIAKCwvF/c6WZfPmzdSnTx9S\nq9XiVldXJ4kstv5P2qSmptKOHTvEx47OQWR7ljNnzlBgYCBptVrKyMgQ9ztbFim3+2vXrpEgCBQa\nGip+9nNzc8lsNtPMmTNp6NChFB8fT42NjeIxUmz3PMiLMca6Icl0+zDGGPtxuPgzxlg3xMWfMca6\nIS7+jDHWDXHxZ4yxboiLP2OMdUNc/BljrBvi4s8YY93Q/wAc7bA80G6qQwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xb91a0b8>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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AajQa9u/fj4+PD2PGjJHOnEKUcNoyz+uvv27mSIq/UaNGsXTpUipXrsyWLVto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\nFaoSnxLPjeQburUPjJWfEb/exD9r1qw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"text": [
"<matplotlib.figure.Figure at 0x1279f080>"
]
},
{
"metadata": {},
"output_type": "display_data",
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Nr+k2a9YsnD17FsuWLQMA2RywV/lRVLV3FgYGBhg+fDisrKxkU+DrGikp91EV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\n",
"text": [
"<matplotlib.figure.Figure at 0x939b320>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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gQQO6dOkiz34UcWPGjOGXX36hdu3anDt3jpIlS2o7JIEWFmJJkVmhtsDAQNq1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\nJv49EZd1Lmy5uiXXbeWlJSeXMP6v8fz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cDszm32ug3n777aq6l0KhUPxFfHx8mD71v9dD\n9+h9/CIy7PyTpzd1KBQKxS3P/1nZa1S6urrEYrForzdv3iwnT550G1NSUiJ79/5egs9kMo34WeHh\n4QKopppqqqk2hrZ48eIRc+q4lZifMWOoqo3NZiM0NJRTp07x4osvuo1JSkri6aef5tFHH6Wqqoro\n6OgRP6uxsXG8lqlQKBQTjnFL/AD79u2joKCAq1evsnXrVoKDgyktLQWgoKCAxMREUlNTiY+PJygo\niEOHDo3nchQKhUKBl2zgUigUCsWNwyMXd/Py8ggJCeGuu+7S+hoaGnjggQewWCysXbtWu7VTRNi2\nbRt33303KSkpvP3229ocl8vFkiVLMJlM7Ny586Z7wMgu33//PQ8//DBms5nc3Fz6+/u190pKSoiI\niMBsNnPmzBmt39tcTp06RXx8PLGxsaxfvx6Hw6HN8bTLWL8TgJaWFgICAtizZ4/W52kPGLtLY2Mj\n6enpREZGEhsby8DAAOB9LnqO+x9//JH09HQWLVrEihUrOHz4MAA9PT1kZmYSGhrK+vXr6e3t1ebo\nLu7/z2u4fwmbzSbffPONxMTEaH05OTlSUVEhIiKHDx+W3NxcERGprKyUNWvWiIhId3e3LFiwQDo7\nO0VEZPXq1XL06FFpb2+XpUuXitPpvMkmI7ts3LhRPvjgAxERKSoqkpKSEhEROX/+vERGRkpzc7NU\nV1dLXFycNsfbXGpra6W1tVVERL744gtZtmyZNsfTLmPx+I2srCzZsGGDvPrqq1qfpz1Exu6ydOlS\nOXbsmIiIXLx4UQYHB0XE+1z0HPetra1SW1srIiJtbW0SFhYm3d3dUlxcLJs3b5bLly/Lk08+Kbt3\n7xYRfca9R474ly1bhsFgcOubMWMGHR0dXL9+nY6ODu396dOn09fXR19fH11dXfj4+ODn5wcMHS3k\n5OQwa9YsHnzwwWEbxDzlUl1dzdq1awFYt24dX3459Exvu93OqlWrCA0NJS0tDRHRjgq8zcVisTBn\nzhxtXl1dHYODg4DnXcbiAfDhhx9iMpnc9pSA5z1gbC4XLlzAx8eH7OxsAAwGA76+QyHubS56jvs5\nc+ZgsVgACA4OZtGiRTidThwOB/n5+UydOpW8vDxtXXqMe908j3/37t3s378fg8HAgQMHKC4uBiAl\nJQWr1UpISAgmk4m33nqL2267jcbGRmbP/n1L8kgbxDxFRkYGBw8eZGBggHfffZevvhoqYG63293u\nXIqMjMRut3ulyx85cuQIycnJTJo0Sbcuo3n09vbyyiuvUFhY6DZerx4wusunn36KwWAgIyODe++9\nlyNHjgDe6eItcd/Y2Eh9fT2JiYlum1ajoqK00596jHvdJP68vDy2bNlCR0cHTzzxBPn5+QCcPHkS\np9NJS0sL9fX1PPbYY3R0dAzb+PXn157kpZdeoq6uDqvVyuDgINOmTRt17Egb1rzJ5dtvv+WFF17g\njTfeAIavXS8uo3kUFhby1FNP4efn57ZWvXrA6C6XL1/m7NmzlJaWcujQIYqKimhubvZKF2+I+56e\nHnJycnjttdcICAgY01o8HffjejvnWDhz5gzl5eVMnjyZ/Px8ioqKgKF9AFlZWRgMBgwGAykpKTid\nTlatWsX58+e1+Q0NDVitVk8t3w2j0aglwsrKSq5cuQIM7Vs4ffq0Nu67774jISGBwMBAr3MB+Omn\nn8jOzqa8vJywsDAAIiIidOkymofD4eD48eM888wzdHV14evry7Rp09i0aZMuPWB0l+TkZNLS0jCZ\nTACsXr2aqqoqHn/8ca9z0XvcX716laysLB555BEyMzMBSEhIwOVyERcXh8vlIiEhAdBn3OvmiD89\nPZ2PP/4YgI8++oiMjAwA7rnnHj755BOuXLlCe3s7586dIzV16AFEUVFRHD16lPb2dk6cOEFSUpLH\n1v9H2traAPj555958803uf/++wFITEykqqqKlpYWqqur8fX1JTAwEPA+l66uLtasWUNxcTHJyclu\nc/ToMpqHzWajqamJpqYmtm/fzs6dO9m0aROgTw8Y3SU6OpqGhgY6Ozu5dOkSn3/+OStXrgS8z0XP\ncS8i5OfnExMTw/bt27X+pKQkysrK6O/vp6ysTEviuoz7m3IJ+U/k5ubK3LlzZcqUKTJ//nwpKyuT\nuro6yc3NldjYWHnooYfE5XKJiMi1a9fk+eefl/j4eFm+fLmUl5drn1NfXy9xcXFiNBrl2Wef9YTK\nMJd33nlH9u/fLwsXLpSIiAjZtWuX2/h9+/ZJeHi4REdHi81m0/q9zeXll18Wf39/sVgsWmtra9OF\ny1i/k98oLCyUPXv2aK897SEydpcTJ06I2WwWq9Uqr7/+utbvbS56jvuamhrx8fGRxYsXa7/9yspK\n6e7ulnXr1smdd94pmZmZ0tPTo83RW9yrDVwKhUIxwdDNqR6FQqFQ3BxU4lcoFIoJhkr8CoVCMcFQ\niV+hUCgmGCrxKxQKxQRDJX6FQqGYYKjEr1AoFBMMlfgVCoVigvFvv56REAyMfv4AAAAASUVORK5C\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x127b0c18>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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zHDp0iIMHD3L48GHi4uLU2jg7OxMUFISbmxv16tUjPz+fvLw88vPzyc/Px8bG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\ndrv79+9jxIgR6NOnT7ezBQAeP36MKVOmIC4uDra2tgAABwcHtbRFnh2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"text": [
"<matplotlib.figure.Figure at 0x938cd30>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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bsLe3h0wmk9tkx8DAQGFZIqL6Ljs/W+6/taHCoNC1a9cKC8lkMsTFxSmsvKqb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\ngUifCQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x12785668>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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yt2rVisuXL+Pp6QlAdHQ0derUydHW2bNntRWmEEKUOlqr1fPidorBwcHcunWL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\nQFZP9fz/EX/dSlk/JfELIYSOvdf8PT5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"text": [
"<matplotlib.figure.Figure at 0xb92ecf8>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Try to solve the mystery of the high error rate of Emma ca. 1900\n",
"#posted on Pastebin and prooffreaderplus.blogspot.com\n",
"dfm1900 = subset(dfm, '', 1900, 'year')\n",
"dfm1900.reset_index(drop=True, inplace=True)\n",
"dfm1900E = dfm1900[dfm1900.name.str.contains('^E')]\n",
"dfm1900E_a = dfm1900E[dfm1900E.name.str.contains('a$')]\n",
"dfm1900_a = dfm1900[dfm1900.name.str.contains('a$')]\n",
"print 'Boys born in 1900 whose names begin with E:\\n'\n",
"print dfm1900E[['name', 'births', 'ranked']].head(60)\n",
"print '\\n\\nBoys born in 1900 whose names end with a:\\n'\n",
"print dfm1900_a[['name', 'births', 'ranked']].head(50)\n",
"print '\\n\\nIntersection of both sets:\\n'\n",
"print dfm1900E_a[['name', 'births', 'ranked']].head(50)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Boys born in 1900 whose names begin with E:\n",
"\n",
" name births ranked\n",
"8 Edward 2721 9.0\n",
"27 Earl 1037 28.0\n",
"29 Ernest 1012 30.0\n",
"37 Elmer 699 38.0\n",
"44 Eugene 587 45.0\n",
"62 Eddie 425 63.0\n",
"70 Edgar 374 71.0\n",
"73 Edwin 350 74.0\n",
"86 Ed 297 87.0\n",
"99 Everett 237 100.0\n",
"105 Earnest 223 105.0\n",
"164 Emil 127 165.5\n",
"168 Elbert 125 168.5\n",
"172 Ellis 120 173.5\n",
"174 Emmett 119 175.0\n",
"201 Edmund 94 202.0\n",
"208 Ervin 88 209.0\n",
"210 Elijah 86 211.5\n",
"262 Edd 61 263.5\n",
"286 Emory 52 288.0\n",
"289 Elwood 51 290.5\n",
"306 Edmond 47 306.0\n",
"308 Earle 46 310.0\n",
"316 Eli 45 315.5\n",
"317 Emanuel 45 315.5\n",
"325 Erwin 43 327.0\n",
"329 Emery 42 333.0\n",
"330 Ezra 42 333.0\n",
"344 Elmo 40 346.0\n",
"350 Elton 39 351.5\n",
"361 Elisha 37 360.5\n",
"366 Enoch 36 369.5\n",
"381 Emerson 34 383.0\n",
"385 Elliott 33 388.5\n",
"404 Elmore 31 407.5\n",
"405 Emile 31 407.5\n",
"418 Early 29 421.0\n",
"435 Ellsworth 27 437.5\n",
"436 Emmet 27 437.5\n",
"470 Elvin 24 472.5\n",
"471 Evan 24 472.5\n",
"479 Elias 23 483.0\n",
"480 Emmitt 23 483.0\n",
"518 Emma 21 525.5\n",
"519 Eric 21 525.5\n",
"536 Eldon 20 544.0\n",
"537 Elzie 20 544.0\n",
"538 Ethel 20 544.0\n",
"560 Elie 19 566.0\n",
"561 Ezekiel 19 566.0\n",
"587 Ennis 18 590.0\n",
"607 Eldridge 17 612.5\n",
"631 Elizabeth 16 635.5\n",
"632 Elza 16 635.5\n",
"633 Everette 16 635.5\n",
"653 Elsie 15 664.0\n",
"654 Emilio 15 664.0\n",
"705 Edna 13 720.5\n",
"706 Effie 13 720.5\n",
"707 Eunice 13 720.5\n",
"\n",
"\n",
"Boys born in 1900 whose names end with a:\n",
"\n",
" name births ranked\n",
"106 Ira 218 107.5\n",
"236 Alva 73 237.5\n",
"330 Ezra 42 333.0\n",
"333 Ora 42 333.0\n",
"361 Elisha 37 360.5\n",
"370 Joshua 36 369.5\n",
"413 Asa 30 415.5\n",
"454 Anna 25 461.5\n",
"491 Bertha 22 503.5\n",
"518 Emma 21 525.5\n",
"526 Otha 21 525.5\n",
"559 Dana 19 566.0\n",
"591 Hosea 18 590.0\n",
"632 Elza 16 635.5\n",
"699 Alma 13 720.5\n",
"705 Edna 13 720.5\n",
"713 Ida 13 720.5\n",
"752 Clara 12 763.5\n",
"753 Ella 12 763.5\n",
"856 Eliga 10 868.5\n",
"892 Rolla 10 868.5\n",
"944 Martha 9 934.5\n",
"950 Nora 9 934.5\n",
"980 Cora 8 1008.5\n",
"989 Eva 8 1008.5\n",
"1001 Iva 8 1008.5\n",
"1008 Lea 8 1008.5\n",
"1075 Eligha 7 1105.5\n",
"1091 Georgia 7 1105.5\n",
"1114 Laura 7 1105.5\n",
"1145 Roma 7 1105.5\n",
"1163 Alberta 6 1235.5\n",
"1167 Alonza 6 1235.5\n",
"1168 Alpha 6 1235.5\n",
"1176 Augusta 6 1235.5\n",
"1241 Julia 6 1235.5\n",
"1254 Lonza 6 1235.5\n",
"1271 Oda 6 1235.5\n",
"1274 Orla 6 1235.5\n",
"1287 Stella 6 1235.5\n",
"1351 Claudia 5 1408.5\n",
"1361 Dora 5 1408.5\n",
"1373 Elva 5 1408.5\n",
"1446 Ola 5 1408.5\n",
"1471 Rosa 5 1408.5\n",
"1486 Theresa 5 1408.5\n",
"1496 Viola 5 1408.5\n",
"\n",
"\n",
"Intersection of both sets:\n",
"\n",
" name births ranked\n",
"330 Ezra 42 333.0\n",
"361 Elisha 37 360.5\n",
"518 Emma 21 525.5\n",
"632 Elza 16 635.5\n",
"705 Edna 13 720.5\n",
"753 Ella 12 763.5\n",
"856 Eliga 10 868.5\n",
"989 Eva 8 1008.5\n",
"1075 Eligha 7 1105.5\n",
"1373 Elva 5 1408.5"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**I said in the blog text that nobody (in the database) was named Ashley in 1900. Here's the proof:**\n",
"\n",
"*NOTE: I wrote this for my first blog post on Feb. 24, 2014. Then I found out that Ashley was a BOYS' name in 1900!*"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dff[dff.name == 'Ashley'].head()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>name</th>\n",
" <th>sex</th>\n",
" <th>births</th>\n",
" <th>year</th>\n",
" <th>pct</th>\n",
" <th>ranked</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>143423</th>\n",
" <td> Ashley</td>\n",
" <td> F</td>\n",
" <td> 5</td>\n",
" <td> 1917</td>\n",
" <td> 0.000462</td>\n",
" <td> 4954.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>351811</th>\n",
" <td> Ashley</td>\n",
" <td> F</td>\n",
" <td> 7</td>\n",
" <td> 1938</td>\n",
" <td> 0.000635</td>\n",
" <td> 3647.5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>379234</th>\n",
" <td> Ashley</td>\n",
" <td> F</td>\n",
" <td> 6</td>\n",
" <td> 1941</td>\n",
" <td> 0.000497</td>\n",
" <td> 4187.5</td>\n",
" </tr>\n",
" <tr>\n",
" <th>387796</th>\n",
" <td> Ashley</td>\n",
" <td> F</td>\n",
" <td> 8</td>\n",
" <td> 1942</td>\n",
" <td> 0.000592</td>\n",
" <td> 3591.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>396803</th>\n",
" <td> Ashley</td>\n",
" <td> F</td>\n",
" <td> 10</td>\n",
" <td> 1943</td>\n",
" <td> 0.000717</td>\n",
" <td> 3142.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 14,
"text": [
" name sex births year pct ranked\n",
"143423 Ashley F 5 1917 0.000462 4954.0\n",
"351811 Ashley F 7 1938 0.000635 3647.5\n",
"379234 Ashley F 6 1941 0.000497 4187.5\n",
"387796 Ashley F 8 1942 0.000592 3591.0\n",
"396803 Ashley F 10 1943 0.000717 3142.0"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dfm[dfm.name == 'Ashley'].head() #Added on March 3"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>name</th>\n",
" <th>sex</th>\n",
" <th>births</th>\n",
" <th>year</th>\n",
" <th>pct</th>\n",
" <th>ranked</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1625 </th>\n",
" <td> Ashley</td>\n",
" <td> M</td>\n",
" <td> 8</td>\n",
" <td> 1880</td>\n",
" <td> 0.007240</td>\n",
" <td> 713</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3726 </th>\n",
" <td> Ashley</td>\n",
" <td> M</td>\n",
" <td> 6</td>\n",
" <td> 1881</td>\n",
" <td> 0.005956</td>\n",
" <td> 823</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5723 </th>\n",
" <td> Ashley</td>\n",
" <td> M</td>\n",
" <td> 7</td>\n",
" <td> 1882</td>\n",
" <td> 0.006157</td>\n",
" <td> 795</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7764 </th>\n",
" <td> Ashley</td>\n",
" <td> M</td>\n",
" <td> 9</td>\n",
" <td> 1883</td>\n",
" <td> 0.008602</td>\n",
" <td> 660</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10175</th>\n",
" <td> Ashley</td>\n",
" <td> M</td>\n",
" <td> 6</td>\n",
" <td> 1884</td>\n",
" <td> 0.005243</td>\n",
" <td> 909</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
" name sex births year pct ranked\n",
"1625 Ashley M 8 1880 0.007240 713\n",
"3726 Ashley M 6 1881 0.005956 823\n",
"5723 Ashley M 7 1882 0.006157 795\n",
"7764 Ashley M 9 1883 0.008602 660\n",
"10175 Ashley M 6 1884 0.005243 909"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# plot percent male and female births of Ashley\n",
"nm = 'Ashley'\n",
"f_and_m = df[df.name == nm]\n",
"f_and_m = pd.pivot_table(f_and_m, 'pct', rows=['year'], cols='sex')\n",
"f_and_m = pd.DataFrame(f_and_m)\n",
"\n",
"figure(num=None, figsize=(8,7), dpi=150, facecolor='w', edgecolor='k')\n",
"\n",
"plt.xlim(1880,2012)\n",
"\n",
"plt.subplot(211)\n",
"#plt.title(nm)\n",
"plt.title(\"Ashley used to be a boys' name\\n\", size=20)\n",
"plt.xlim(1880, 2012)\n",
"plt.ylabel('% of births', size=10)\n",
"plt.plot(f_and_m.index, f_and_m.F, color='#cc0000', linewidth = 2, label = 'Girls')\n",
"plt.plot(f_and_m.index, f_and_m.M, color='#0000cc', linewidth = 2, label = 'Boys')\n",
"plt.legend(loc = 'upper left')\n",
"plt.subplot(212)\n",
"plt.ylim(0, 0.05)\n",
"plt.xlim(1880, 2012)\n",
"plt.ylabel('% of births', size=10)\n",
"plt.plot(f_and_m.index, f_and_m.F, color='#cc0000', linewidth = 2, label = 'Girls')\n",
"plt.plot(f_and_m.index, f_and_m.M, color='#0000cc', linewidth = 2, label = 'Boys')\n",
"plt.annotate('magnification of top graph\\n(10% of height of first tick mark)\\nto see male names', xy=(.03, .95), xycoords='axes fraction', size = 12, horizontalalignment='left', verticalalignment='top')\n",
"plt.savefig('ashleyMF.png')\n",
"plt.show()\n",
"plt.close()\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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RfH19a339lf08MW2c0Os59VjzkJAQvPnmmzofjo6O+PvvvzW/fp/WokULTJgwAX/88QcM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\nIBRWlFEq1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WVlERHR5cuX6dVXX+Xz6IM96mKLciZMmECTJ0+mDRs28Nf0wRZEdbfHK6+8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\nynpkpgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xb9489e8>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Graph an individual name\n",
"------------------------"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"name_chosen = \"Sigourney\"\n",
"sex_chosen = \"F\"\n",
"\n",
"if sex_chosen == \"F\":\n",
" y_axis_sex = \"female\"\n",
"else:\n",
" y_axis_sex = \"male\"\n",
"\n",
"\n",
"import scipy\n",
"graphdf = df[df.sex == sex_chosen]\n",
"graphdf = graphdf[graphdf.name == name_chosen]\n",
"\n",
"figure(num=None, figsize=(11, 8), dpi=300, facecolor='w', edgecolor='w')\n",
"plt.plot(graphdf.year, graphdf.pct, color=\"black\", linewidth = 2)\n",
"plt.xlim(1880,2012)\n",
"plt.xticks(scipy.arange(1880,2012,10))\n",
"plt.title(\"Popularity of baby name '\" + name_chosen + \"', 1880-2012\", size=18, color=\"black\")\n",
"plt.xlabel('Year', size=15)\n",
"plt.ylabel('Percent of ' + y_axis_sex + ' births', size=14)\n",
"#plt.savefig(name_chosen + '.png') # un-comment to save graph\n",
"plt.show()\n",
"plt.close()\n",
"#graphdf.to_csv(name_chosen + \"_\" + sex_chosen + \".csv\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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vFm3atBFOTk7iySefFPHx8aW+X4oq7vkUovjX4Pr162LcuHGiZcuWokaNGqJu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\nsA3KKwAAAGyD8goAAADboLwCAADANv4fHVh2+Ny74p8AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1e675c0>"
]
}
],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"name_chosen = \"Sharona\"\n",
"sex_chosen = \"F\"\n",
"\n",
"if sex_chosen == \"F\":\n",
" y_axis_sex = \"female\"\n",
"else:\n",
" y_axis_sex = \"male\"\n",
"\n",
"\n",
"import scipy\n",
"graphdf = df[df.sex == sex_chosen]\n",
"graphdf = graphdf[graphdf.name == name_chosen]\n",
"\n",
"figure(num=None, figsize=(8, 4), dpi=300, facecolor='w', edgecolor='w')\n",
"plt.plot(graphdf.year, graphdf.pct, color=\"black\", linewidth = 2)\n",
"plt.xlim(1880,2012)\n",
"plt.xticks(scipy.arange(1880,2012,10))\n",
"plt.title(\"Popularity of baby name '\" + name_chosen + \"', 1880-2012\", size=18, color=\"black\")\n",
"plt.xlabel('Year', size=15)\n",
"plt.ylabel('Percent of ' + y_axis_sex + ' births', size=14)\n",
"plt.savefig(name_chosen + '.png') # un-comment to save graph\n",
"plt.show()\n",
"plt.close()\n",
"#graphdf.to_csv(name_chosen + \"_\" + sex_chosen + \".csv\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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iDWVlZczCwoKFhYW97FBIA1GviYK7uzs7duwYy8rKYs7OzkqrrslkMta7d2+W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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0xb9416a0>"
]
}
],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#compare two names of same sex\n",
"name_chosen = \"Marilyn\"\n",
"name_chosen_2 = \"Norma\"\n",
"sex_chosen = \"F\"\n",
"\n",
"if sex_chosen == \"F\":\n",
" y_axis_sex = \"female\"\n",
"else:\n",
" y_axis_sex = \"male\"\n",
"\n",
"import scipy\n",
"graphdf = df[df.sex == sex_chosen]\n",
"graphdf2 = graphdf[graphdf.name == name_chosen_2]\n",
"graphdf = graphdf[graphdf.name == name_chosen]\n",
"\n",
"figure(num=None, figsize=(7.5, 5), dpi=300, facecolor='w', edgecolor='w')\n",
"plt.plot(graphdf.year, graphdf.pct, color=\"#6500A4\", linewidth = 3, label=name_chosen)\n",
"plt.plot(graphdf2.year, graphdf2.pct, color=\"#005E75\", linewidth = 3, label=name_chosen_2)\n",
"plt.xlim(1880,2012)\n",
"plt.xticks(scipy.arange(1880,2012,10))\n",
"plt.title(\"Popularity of U.S. baby names\\n\" + name_chosen + \" and \" + name_chosen_2 + \", 1880-2012\", size=16, color=\"black\")\n",
"plt.xlabel('Year', size=12)\n",
"plt.ylabel('Percent of ' + y_axis_sex + ' births', size=14)\n",
"plt.legend(loc = 'upper left')\n",
"plt.savefig(name_chosen + '_v_' + name_chosen_2 + '.png') # un-comment to save graph\n",
"plt.show()\n",
"plt.close()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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4ePFilVfqqezaI0eOxNy5c+Hv74+xY8fi5MmTCA4OhpWVVbXi1tbWho+PD2bM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\nghn8P47L7frVq6ULAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xb93e048>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# plot rate of babies named \"Unknown\" or \"Baby\"\n",
"Unkn = df[df.name == 'Unknown']\n",
"Unkn = pd.pivot_table(Unkn, 'pct', rows=['year'], cols='name')\n",
"Unkn = pd.DataFrame(Unkn)\n",
"Baby = df[df.name == 'Baby']\n",
"Baby = pd.pivot_table(Baby, 'pct', rows=['year'], cols='name')\n",
"Baby = pd.DataFrame(Baby)\n",
"\n",
"figure(num=None, figsize=(8,4), dpi=150, facecolor='w', edgecolor='k')\n",
"\n",
"plt.xlim(1880,2012)\n",
"\n",
"plt.title(\"U.S. babies named 'Unknown' or 'Baby', 1880-2012\", size=18)\n",
"plt.xlim(1880, 2012)\n",
"plt.ylabel('% of births', size=10)\n",
"plt.plot(Unkn.index, Unkn.Unknown, color='#660066', linewidth = 2, label = 'Unknown')\n",
"plt.plot(Baby.index, Baby.Baby, color='#dd8833', linewidth = 2, label = 'Baby')\n",
"plt.legend(loc = 'upper left')\n",
"plt.savefig('Unknown_Baby.png')\n",
"plt.show()\n",
"plt.close()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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IiAhUV1fzA/JetmjRIuzZs4dvpnVyckJ5eTn8/PxQUVEBTU1NhIWF4f/+7/8A\n1KwA9v3338PMzAwAsHLlSgQHByvqEAghpMMYMWIEkpKS8OTJkzoHar5s3rx5+OGHH5CWliYxfZq8\nWhQ6gHDOnDmIjY2FnZ0dgoKCEB4eLjESOjk5GWfPnsXFixdx/PhxREdH4+jRo9DU1MTp06ehra2N\niooKeHh4YNSoUejWrRs4jsO8efMwb948RVadEEI6lIsXL+LYsWOYN2+e3IEAAJw4cQJLliyhQOAV\np7BgQDwQSzwIKDAwEElJSRJTVZKSkvgBFeHh4fjoo4/498QLehQXF6O6ulriw6nAxgxCCOlQkpKS\n8Ndff2Hjxo38kr6NoYgldEnrU9hsgpSUFIkpLS4uLrhw4YJEnuTkZIkHkZiZmSE9PR1AzbQS8UNn\n3nvvPYn1ndevXw8fHx+sXr0aRUVFijoEQghp9zZt2oS5c+fC2toav/zyCz+7iXQsSp1ayGoGMEqk\niacOqaio4OrVq0hLS8O3337LP0UvKioK9+/fx/Hjx5Geni613CMhhBD5bd++HZWVlTh58mS90+JI\nO9eoYZONkJ+fz9zc3PjX7733Hjt69KhEnm+++YatXbuWf117Kltt8+fPZ999951U+pUrV2ROQWKM\nsa5duzIA9EM/9EM/9EM/HeKnT58+Tfm6Zowp8EFF4ocuJCYmIiMjAydPnoS3t7dEHm9vb+zfvx85\nOTnYvXs3/0CZ7OxsfoGenJwcnDhxAiEhIQD+eRxjdXU1du/ejREjRsjcf3p6Ot/y0NF/Pv74Y6XX\noS390Pmgc0Hng85HezwX4kckN4VCZxN89dVXiIiIQFVVFWbPng1TU1O+WT8iIgJeXl4YNGgQPD09\nYWxszK/49fTpU0yZMgVCoRCWlpaIjo6GlZUVAODDDz/ElStXoK6uDl9f3waXjyWEEEJI/RQaDPj5\n+eHmzZsSaRERERKvV61ahVWrVkmk9erVC5cuXZJZ5g8//NCylSSEEEI6uFf22QREfv7+/squQptC\n5+MfdC4k0fmQROfjH+39XCh0BUJl4jgO7fTQCCGEECnN+d57ZR9h3FTGxsbIy8tTdjU6LCMjI+Tm\n5iq7GoQQQmrpcC0D1GKgXHT+CSFEMZpzfaUxA4QQQkgHR8EAIYQQ0sFRMEAIIYR0cBQMtBNTp07F\nv//9b2VXgxBCyCuIgoE2QiAQ4N69exJpMTExmDRpklzbcxzHP+SJEEIIaQwKBtqwxn650yh9Qggh\nTUHBQBvrSKHrAAAgAElEQVRW+8s9ISEBNjY22Lx5MxwcHDBw4ED88ccfMrcrKirCkCFDMHfuXAA1\nXQjz5s1DWFgYLCws8M477yAzM5PPf+fOHcyePRu2traYM2cO7t69CwA4ffo0evfuzecbPnw4vLy8\n+NeDBw/G4cOHAQD29vbYtGkT+vfvD1tbW8TExKCqqqrlTgYhhBCF6XCLDtUngotoOJOcYllsi5Ul\n9vz5c1y5cgVJSUk4dOgQZs6ciUePHvHvcxyHnJwcvPbaawgODsayZcv497Zu3YodO3Zg48aNmDZt\nGjZt2oTly5cDAAIDAzFjxgxcvnwZW7ZsQWBgIO7fvw8fHx/cvXsXubm50NPTw7Vr16Curo6SkhII\nBAL89ddfGDx4ML+PTZs2YcuWLTA0NERgYCAGDx6MoUOHtvh5IIQQ0rKoZeAVIhKJsGzZMpiZmWHq\n1KnIz8/H7du3+fczMzPh7++PsLAwiUAAqHlo1BtvvAFTU1NMmDABJ0+eBABcvnwZlZWVWLJkCUxM\nTLBw4UJUVVXhypUr0NLSQr9+/XDmzBn89ddfcHNzw8CBA3Hu3DlcuHABjo6OMDIyAlATiEyePBn9\n+vWDo6MjgoKC+H0QQghp26hloBZF3M3LS0tLC8XFxRJpxcXF0NHR4V9bWVnB1NQUAKCqqgpTU1Nk\nZmaiR48eYIzht99+g56entSTITmOg5ubG//a0tKS7yY4f/48+vbtK5Hf09MTZ8+ehZubG/z8/Pgu\nCj8/PxgZGeHMmTPQ0NCQenBH7X1YWVkhLS2t6SeEEEJIq6GWgTYiMDAQZ8+elUg7e/YsgoOD5dqe\n4zjMmDEDQUFBGDFiBEpLSyXer2tw4cCBA6UeF127+d/Pzw+nT59GYmIi/P39+eDgzJkz8PPzq7M+\nNJiREEJeHRQMtBFvvPEGtm7divj4eOTn52PLli24c+eO3MGA+Mt3w4YN6NGjB0aNGoXy8nKJ92Rx\nd3eHuro6Vq5ciezsbKxZswaqqqr8Xf6AAQNw+/ZtpKSkwMvLCy4uLnjw4AGSkpLg6+vbzKMmhBDS\nFlAw0EaMGzcO8+fPx5dffomePXvi6tWrOHHiBDQ1Nfk89U01rL3OwObNm2FjY4MxY8agoqJC5hoE\ntV8fO3YMmZmZcHd3x6NHj3Ds2DH+PW1tbXh4eMDV1RWqqjW9SgMGDIC9vT3fZdFQfQghhLRt9NRC\n0qro/BNCiGLQUwsJIYQQ0mQUDBBCCCEdHAUDhBBCSAdHwQAhhBDSwVEwQAghhHRwCg0GEhMT4ezs\nDEdHR6xfv15mnkWLFsHBwQEeHh64desWAKC8vBze3t5wc3ODj48P1q1bx+cvKipCSEgIbG1tMWbM\nGKlV+wghhBDSOAoNBubMmYPY2FicOnUKGzduRHZ2tsT7ycnJOHv2LC5evIjo6GhER0cDADQ1NXH6\n9GlcuXIFZ86cwdatW/mlbb/77jvY2tri7t27sLGxwaZNmxR5CIQQQki7p7BgoKCgAADg6+sLOzs7\nBAYGIikpSSJPUlISQkNDYWxsjPDwcNy8eZN/T1tbG0DN+vzV1dXQ0NAAUBNAvP3229DQ0MD06dOl\nyiSEEEJI4ygsGEhJSYGTkxP/2sXFBRcuXJDIk5ycDBcXF/61mZkZ0tPTAQBCoRB9+vSBhYUF3nvv\nPXTu3FmqXCcnJyQnJyvqEF4JGRkZEAgEEIlEyq4KIa2m4FkBvhzyJX7/7HdlV4WQdkGpTy1kjEmt\nliRewlZFRQVXr15FRkYGRowYgYEDB8Ld3b1RqyvFxMTwv/v7+0s9Za8tsbe3x/Pnz6GiogIzMzOM\nHDkSH330EczNzZVdNULalMrSSnw7+ltkpGQg63YWRiweoewqEaIUCQkJSEhIaJGyFBYM9OvXDwsW\nLOBfp6amSj10x9vbGzdu3EBQUBAA4MWLF3BwcJDIY29vjxEjRiA5ORnu7u7o168fbt68CXd3d9y8\neRP9+vWrsw61g4G2juM4HD16FAEBAcjKykJkZCTWr1+P5cuXK7tqhLQZIpEI2ydvR0ZKBgCg4GkB\nygrLoKWvpdyKEaIEL9/kfvLJJ00uS2HdBAYGBgBqZhRkZGTg5MmT8Pb2lsjj7e2N/fv3IycnB7t3\n74azszMAIDs7G/n5+QCAnJwcnDhxAqNHj+a32bZtG8rKyrBt2zb4+Pgo6hCUxsLCAmFhYfjtt98A\nAL/99hvc3d1hYGCA4cOH44cffpDaZt++fejRowe8vb35Bw09e/YMOjo6yM3N5fNdunQJ5ubmEAqF\nrXMwhDTDgYUHsGbQGhz69yGknUvDrwt/xaX9l6BloAUDq5przPO7z5VcS0JefQrtJvjqq68QERGB\nqqoqzJ49G6ampoiNjQUAREREwMvLC4MGDYKnpyeMjY0RFxcHAHj69CmmTJkCoVAIS0tLREdHw8rK\nCgAQFRWFiRMnokePHujbty9Wr17dYvW9t9qzxcpy+PBio7cRd4FkZmbixx9/5CM+XV1dxMXFwcnJ\nCadOncJbb72FAQMGoFu3bvy2cXFxOHbsGK5evYrx48fjwoUL6N69O/z9/bF3715ERkYCAHbt2oXw\n8HCoqKg0/yAJUaDS/FKcWHMCjDGkn0/H7ytqxgcIVAWI2B+BM9+eweUDl5F1Jwt2HnZKri0hrzZ6\namEtygwG7O3tkZOTA1VVVRQVFcHJyQmJiYkwNjaWyjtp0iS4ublh/vz5yMjIgIODA06dOoWAgAAA\nwPjx4+Hh4YH58+djz549WL9+Pc6dOwehUAgbGxscOXIEnp4td6yNQU8tJPL6+9jfWP/aelg6WcIl\n0AWpx1PxIu0FJm6eiIHTB+LXRb/i2KpjGBkzEqM+HqXs6hKidM25vip1AGFb05S7+ZbCcRwOHTqE\ngIAAFBUVYefOnXBxccGDBw+QlpaGL774Av/973/x7NkzVFZWQiCQ7OFxc3Pjf3d3d8eff/4JAAgJ\nCUFUVBQyMjJw69YtGBgYKC0QIKQx7v33HgCg1+u9EPpFKABAWCWEilpNq5Z595rBtc/vUDcBIc1F\nyxG3QXp6eoiKikJRURHOnj2L6Oho2NjY4MyZMygoKMDYsWOlor/Lly/zv1+6dAkDBgwAULOA01tv\nvYW4uDjExcVh8uTJrXoshDRV2vmahca6DuzKp4kDAQCw6G4BAMi6k9W6FSOkHaJgoA0Rf8EXFxdj\n8+bN0NbWxoABA/DkyROYmprCwMAAhw8fxuHDh6W2/eabb3D//n0cOXIEJ06cwMiRI/n3Jk+ejO3b\nt+Pw4cOYNGlSqx0PIU0lrBYiIykDANB1QFeZefhg4HYWdT0R0kwUDLQho0aNgp6eHhwcHBAfH4+d\nO3dCW1sbX375Jfbu3QtbW1v89NNPiIiIkNiO4ziMHz8ewcHBWLFiBXbt2oXu3bvz7w8cOBACgQAe\nHh784k2EtGWPrz5GRUkFzLqaQd9CX2YeXVNdaBtqo7yoHIVZha1cQ0LaFxoz0Ebcv3+/zveGDRuG\nYcOGyXzP3t6enyYYFhZWZxm2traYMGFC8ypJSCtJP1+zEmntLoKXcRwHix4WuJ90H1l3smBgadBa\n1SOk3aGWgQ7g3LlzuHPnDgUD5JWR/t+GgwHgn64CGkRISPNQy0A7N2XKFCQkJODrr7/mH/ZESFsn\nbhnoNrBbvfnEMwpoECEhzUPBQDu3c+dOZVeBkEbJfZiLvMd50DbUhqWzZb15aUYBIS2DugkIIW2K\neEqhQ38HqfU0XlZ7RgEhpOkoGCCEtCnyDB4UM3es6SZ4kf4Cwmp63gYhTUXBACGkTZF38CAAaOho\nwMjGCMIqIXIf5DaYnxAiW4cbM2BkZASO45RdjQ7LyMhI2VUgbVh5UTkeX30MgYoA9v3s5drGvLs5\n8h7nIetOFsy6mim2goS0Ux0uGKj9OF9CSNtyO+E2mIjB1tMWGjryzX6x6G6B2/G3kXUnCz1f66ng\nGhLSPlE3ASGkTWCM4fflNY8p7hvaV+7taEYBIc1HwQAhpE24/OtlZKRkQN9SH0PeGyL3djSjgJDm\no2CAEKJ0wmohDi05BAB4/d+vy91FAAAWPahlgJDmomCAEKJ0F3ZdwLNbz2DaxRSD3hnUqG1N7E0g\nUBUg71EeKksrFVRDQto3CgYIIUpVVV6FozFHAQCjl4+GqnrjxjWrqKrwswie3X7W4vUjpCOgYIAQ\nolRnN59F7sNcdOrVCf3C+zWpDNu+tgCAe3/ea8mqEdJhUDBACFGq679dBwAELwpucPnhujj6OgIA\n0s6mtVi9COlIKBgghChV/pN8AICVi1WTyxAHA3cT74Ix1iL1IqQjoWCAEKJUhc8KAQAGlgZNLsPK\n2Qq6prrIf5KP7HvZLVU1QjoMCgYIIUpTXVmN4uxiCFQE0DXVbXI5HMeh2+BuAIA7iXdaqnqEdBgK\nDQYSExPh7OwMR0dHrF+/XmaeRYsWwcHBAR4eHrh16xYA4NGjRxgyZAhcXV3h7++P3bt38/ljYmJg\nY2MDd3d3uLu749ixY4o8BEKIAhU9LwIA6JnrQaDSvMuR4+B/ugoIIY2j0GcTzJkzB7GxsbCzs0NQ\nUBDCw8NhamrKv5+cnIyzZ8/i4sWLOH78OKKjo3H06FGoqalh3bp1cHNzQ3Z2Nry8vDB69Gjo6uqC\n4zjMmzcP8+bNU2TVCSGtoOBpAQDAwKrpXQRitccNEEIaR2EtAwUFNf/kvr6+sLOzQ2BgIJKSkiTy\nJCUlITQ0FMbGxggPD8fNmzcBAJaWlnBzcwMAmJqawtXVFSkpKfx2NECIkPah4FnNdULfUr/ZZdn0\nsYGmniay72UjLzOv2eUR0pEoLBhISUmBk5MT/9rFxQUXLlyQyJOcnAwXFxf+tZmZGdLT0yXypKWl\nITU1FV5eXnza+vXr4ePjg9WrV6OoqEhBR0AIUbSWbBlQUVVB14FdAdAUQ0IaS6mPMGaMSd3lcxzH\n/15UVISwsDCsW7cOOjo6AICoqCgsXboUhYWFWLBgAWJjYxEdHS2z/JiYGP53f39/+Pv7t/gxEEKa\nTjyToCVaBoCaroLUY6m4m3gX/cY1bQEjQl4VCQkJSEhIaJGyFBYM9OvXDwsWLOBfp6amIjg4WCKP\nt7c3bty4gaCgIADAixcv4ODgAACoqqrC2LFjMWnSJISEhPDbmJubAwAMDAzw7rvvYtasWXIFA4SQ\ntqclWwYAGjdAOpaXb3I/+eSTJpelsG4CA4Oaf+7ExERkZGTg5MmT8Pb2lsjj7e2N/fv3IycnB7t3\n74azszOAmhaDt99+Gz179sTcuXMltnn69CkAoLq6Grt378aIESMUdQiEEAXjg4FmrDFQm52nHdQ0\n1fAk9QmKs4tbpExCOgKFdhN89dVXiIiIQFVVFWbPng1TU1PExsYCACIiIuDl5YVBgwbB09MTxsbG\niIuLAwCcP38ecXFx6N27N9zd3QEAK1euRHBwMD788ENcuXIF6urq8PX1RVRUlCIPgRCiQPyCQy3U\nMqCmoYYuPl1wJ+EO0s6lwW2MW4uUS0h7x7F2OjSf4ziadUBIG7fIbhFyH+ZiRfoKmDmYtUiZh5ce\nxm/Lf8Pw6OEI/Ty0Rcok5FXQnO89WoGQEKIUjLEWWYr4Zebda8YVFTwpaLEyCWnvKBgghChFaV4p\nqiuroamvCXVt9RYrV8e4ZuZRcQ6NGSBEXhQMEEKUQrzgUEuNFxDTNal5xkFpbmmLlktIe0bBACFE\nKVp6JoGYtrE2AGoZIKQxKBgghChFS88kEKOWAUIaj4IBQohSiFsGWmr1QTEtAy1wHIfS/FIIq4Ut\nWjYh7RUFA4QQpVBUy4BARQBto5qugrL8shYtm5D2ioIBQohStPRSxLXRjAJCGoeCAUKIUrTk44tf\npmNSEwyU5Ja0eNmEtEcUDBBClKLwqWK6CYB/WgZKcigYIEQeFAwQQpRCUVMLAWoZIKSxKBgghLS6\nqvIqlOaXQkVNhV8XoCVRywAhjUPBACGk1fHjBSz0IRC0/GWIWgYIaRwKBgghrU5R0wrFqGWAkMah\nYIAQ0uoUteCQGLUMENI4FAwQQlodtQwQ0rZQMEAIaXUKbxkwppYBQhqDggFCSKtT1OOLxfhuAmoZ\nIEQuDQYDaWlpKC8vBwBcuXIFu3fvRnV1tcIrRghpvxS5xgBAyxET0lgNBgNjx46Fqqoqnj9/jrfe\neguJiYmYPn16a9SNENJOKXrMgJaBFgQqAlQUV6C6km5eCGlIg8EAx3FQVVXF9u3bERERgU2bNuHm\nzZutUTdCSDul6DEDHMfxTy6kcQOENKzBYMDKygpbt25FXFwcJk6cCAAoK6PHghJCmkYkEqEwq6Zl\nQFHBAEDTCwlpjAaDgc2bN+Phw4dYtWoVLC0tce/ePT4oIISQxirNLYWoWgRtQ22oaagpbD80vZAQ\n+TUYDHTu3BmffPIJXn/9dQCAg4MDFi5cKFfhiYmJcHZ2hqOjI9avXy8zz6JFi+Dg4AAPDw/cunUL\nAPDo0SMMGTIErq6u8Pf3x+7du/n8RUVFCAkJga2tLcaMGYPiYhogRMirRDyoT9dUV6H7oZYBQuTX\nYDBw+fJlTJ8+Hc7OzujSpQu6dOkCBwcHuQqfM2cOYmNjcerUKWzcuBHZ2dkS7ycnJ+Ps2bO4ePEi\noqOjER0dDQBQU1PDunXrkJqail9++QUfffQR/6X/3XffwdbWFnfv3oWNjQ02bdrU2GMmhCiR+MtZ\n/GWtKNQyQIj8GgwG5s6di6FDh+I///kPUlJSkJKSguTk5AYLLiioGSDk6+sLOzs7BAYGIikpSSJP\nUlISQkNDYWxsjPDwcH5goqWlJdzc3AAApqamcHV1RUpKCoCaAOLtt9+GhoYGpk+fLlUmIaRtK80t\nBfDPl7WiUMsAIfJrMBgoKSnBuHHjYG1tDVNTU/6nISkpKXBycuJfu7i44MKFCxJ5kpOT4eLiwr82\nMzNDenq6RJ60tDSkpqbCy8tLqlwnJye5AhNCSNsh/nJWxKOLa6OWAULkp1rXG3/99RcAYNSoUZgx\nYwYmTJgAIyMj/v2+ffs2e+eMMTDGJNI4juN/LyoqQlhYGNatWwcdHR1+G3nFxMTwv/v7+8Pf379Z\n9SWENB/fTaDglgFdE12J/RHS3iQkJCAhIaFFyqozGJg/f77EF/OKFSsk3j99+nS9Bffr1w8LFizg\nX6empiI4OFgij7e3N27cuIGgoCAAwIsXL/jxCFVVVRg7diwmTZqEkJAQiXJv3rwJd3d33Lx5E/36\n9auzDrWDAUJI29BawYC45YFaBkh79fJN7ieffNLksuoMBsTRxr1796QGDN67d6/Bgg0MalYWS0xM\nhK2tLU6ePImPP/5YIo+3tzfmzZuHyZMn4/jx43B2dgZQc/f/9ttvo2fPnpg7d67UNtu2bcOaNWuw\nbds2+Pj4NHyUhJA2g1oGCGl7GhwzEBoaKleaLF999RUiIiIwbNgwzJo1C6ampoiNjUVsbCwAwMvL\nC4MGDYKnpye+/PJLfP755wCA8+fPIy4uDvHx8XB3d4e7uzuOHTsGAIiKisLDhw/Ro0cPZGZmIjIy\nUu6DJYQon3gAIY0ZIKTtqLNl4ObNm7hx4wby8/Nx4MABvq/+xYsX0NWVb36wn5+f1NLFEREREq9X\nrVqFVatWSaQNGjQIIpFIZpl6eno4dOiQXPsnhLQ94nUGaDYBIW1HncHAnTt3cOTIERQUFODIkSN8\nup2dHTZs2NAqlSOEtD/ilgFxM76i0JMLCZFfncFASEgIXn/9daxZswaLFy9uzToRQtqx1ppaqKGr\nARU1FVSVVaGyrBLqWuoK3R8hr7J6xwyoqqriwIEDqKysbK36EELaudYaQMhx3D/jBqirgJB61dky\nIBYUFISpU6di/PjxsLa2BmMMHMe1yDoDhJCORSQUoSy/5qmn2oaKbRkAasYNFGYVojS3FEadjBre\ngJAOqsFg4Pz58+A4Dl9++aVEekPrDBBCyMvKCsrAGIO2oTYEKg1OZmo2GjdAiHwaDAZaanUjQghp\nrfECYjSjgBD51BkM7Nq1C5MmTcKXX34psRKhuJtg3rx5rVJBQkj70VrjBcRorYGOSVRRAlF1OVR1\nTJRdlVdGncFAaWnN9J+ioiKZwQAhhDSW+EtZ0Y8vFqOWgY6HMYYnP76DqryHMA9ZCZ1uvsqu0iuh\nzmBAvDgQre9PCGkp1DJAFK388RVUvrgLAMg6sABmr8dAz/U1Jdeq7WtwBE9mZibef/999OjRAz16\n9MDs2bPx5MmT1qgbIaSdafVggFoGOpzi6zWL5KkZ2wFMiBdHl6Lg0j4l16rtazAYWLJkCWxtbXHu\n3DmcO3cOdnZ2tAgRIaRJqGWAKJKosgzFt08BACzGroWx33sAGHJOrkZJ2lnlVq6Na3A2QVJSErZv\n386PE5g7dy569uyp8IoRQtqf1npIkRg9ubBjKbnzH7DKUmh06g11Yzuo+0yFsDQfBSlxKHuQDJ1u\ng5VdxTarzmAgNzcXjDGMGzcO8+fPx6RJk8AYw48//ohx48a1Zh0JIe1Ea7cMiIMOahnoGIr+10Wg\n13MUn6Zh5QoAqC58ppQ6vSrqDAb69u0rMWvg119/BfDPbIKPP/5Y8bUjhLQrrR0MUMtAx1GVn4ny\nh3+BU9WArvNwPl3VwAoAUF1AY93qU2cwkJGR0YrVIIR0BPzUQiWMGaBp0e1b0d9HAQA63QMg0Pjn\niZj/BAPUMlAfxa8HSggh/8O3DLTSOgPq2urQ1NNEdWU1SvNKW2WfpPUxJkLx378BAPR6jZJ4T0Xb\nGJyqBkTlBRBVUAtRXSgYIIS0mtbuJgAAAysDAEDB04JW2ydpPVX5j5F1IBrVBU+gqm8JTTtPifc5\njoOqviUAoLrwqTKq+EqoMxg4f/48AKC8vLzVKkMIab9EIhF/d65t1DqzCQAKBtorUVU5chO/w+Pv\n/4XStERw6towGTofHCf9taaqX9NVUFVAwUBd6gwGZs+eDQDo379/q1WGENJ+lReWg4kYNPU1oaKq\n0mr71bfUBwAUPKNgoD3JiV+L/D+3ggkroes6Ap1nHIBO9yEy8/LjBqhloE51DiC0sLDA1KlTkZmZ\nidmzZ4Mxxr/HcRy++eabVqkgIaR9UEYXAUAtA+2RqKocxTeOAQCswr6Flr1Xvfn/GURIwUBd6gwG\nDhw4gBMnTuD06dPw8PCQCgYIIaQxKBggLaU0/VzN4kJWLg0GAgCgZmANgIKB+tQZDGhqamL06NGw\ntbWFm5tba9aJENIOiVcfVFYwUPi0sFX3SxSn+OZxAICOc5Bc+f8ZQEhrDdSlwdkEVlZW+PDDD+Hi\n4gIXFxcsXLgQz58/b426EULakeKcYgCttxSxGLUMtC+iimKUpZ8HwEHXKVCubVT5lgFaa6AuDQYD\nq1atgqGhIRISEpCQkABDQ0OsXLlSrsITExPh7OwMR0dHrF+/XmaeRYsWwcHBAR4eHrh16xafPn36\ndFhYWKBXr14S+WNiYmBjYwN3d3e4u7vj2LFjctWFEKJc4m4C8aqArYWCgfal5M5pMGElNG37QlXP\nTK5tVHRNAYEqhKW5EFXRDDlZGgwG4uPjsWjRIpibm8Pc3BwffPAB4uPj5Sp8zpw5iI2NxalTp7Bx\n40ZkZ2dLvJ+cnIyzZ8/i4sWLiI6ORnR0NP/etGnTZH7RcxyHefPm4fLly7h8+TKCg4PlqgshRLla\n+yFFYhQMtC/FN2q6CHTl7CIAAI4T1OoqoNYBWRoMBvz9/fH5558jJycH2dnZWLduHfz9/RssuKCg\n5h/P19cXdnZ2CAwMRFJSkkSepKQkhIaGwtjYGOHh4bh58yb/3uDBg2FkZCSz7NqDGQkhrwZlDSDU\nNtKGqoYqyovKUVFS0ar7Ji1LWJKLsgcpgEAFOj0CGrUtzSioX4PBwIcffoinT59i0KBBGDx4MJ48\neYKFCxc2WHBKSgqcnJz41y4uLrhw4YJEnuTkZLi4uPCvzczMkJ6e3mDZ69evh4+PD1avXo2ioqIG\n8xNClE9ZwQDHcTCw/N8gwmc0iPBVVnz7FMCE0O7SHypaho3aVk1fvNYADSKUpc7ZBGLW1tZYu3Yt\n1q5d2+I7Z4xJ3eU3NG0xKioKS5cuRWFhIRYsWIDY2FiJ7oXaYmJi+N/9/f3latEghCiGsoIBANC3\n0kfOgxwUPC2AWVf5+plJ2yPuIpB3FkFt7fGBReKxfC2hwWCgqfr164cFCxbwr1NTU6X69729vXHj\nxg0EBdX8YV+8eAEHB4d6yzU3NwcAGBgY4N1338WsWbPkCgYIIcqlrKmFAI0baA+EpXmoyLwKTlUD\nOo5+jd7+nyWJ20/LwMs3uZ988kmTy1LYg4oMDGr++RITE5GRkYGTJ0/C29tbIo+3tzf279+PnJwc\n7N69G87Ozg2W+/RpTX9PdXU1du/ejREjRrR85QkhLU7cMtDaAwgB8N0EFAy8usofXQYAaHTqDYF6\n4z9DtCRx/RTWMgAAX331FSIiIlBVVYXZs2fD1NQUsbGxAICIiAh4eXlh0KBB8PT0hLGxMeLi4vht\nw8PDcebMGeTk5KBz585YtmwZpk2bhg8//BBXrlyBuro6fH19ERUVpchDIIS0kJIc5UwtBKhloD0o\ne1wTDGjaNG0RvOYMICxK/R0FKbth7P8+tO29G97gFcQxOYfmX7t2DStXrkRxcTHmzp2LoUOHKrpu\nzcJxHM06IKSNYIxhltosiIQibKzYCFV1hd6HSDn3/TnsmrEL/af0x9QdU1t136RlPN4xEZVZt3Dp\n7kiEfh/T6O2ZqBr3vxgIMBG6zD8PTlVdru3KM6/jye4ZgKgaUFGDxeiV0Onu3+j9t4bmfO/V2U3w\n7JnkIIt169bhu+++Q1xcHJYsWdKknRFCOqbyonKIhCJo6Gq0eiAAUMvAq05UUYzK53cgFAIJcZkQ\nCUWNLoMTqP5vkSKG6qIsubYRluQi6+CHgKgaaiZdAGEVsg5+iKLU3xu9/7auzmAgMjISy5YtQ3l5\nzX9Rjg8AACAASURBVGpNlpaW+Pnnn7Fnzx5+EB8hhMhDmTMJAAoGXnXlmdcAJsKzxzqoqhCgNL+0\nSeWoNuKBRUxUjazDiyEsfg6NTn1gM203DPu/DTAhXhxdiqLrR5tUh7aqzmDg4MGDcHd3x8iRI/HD\nDz/g448/hpWVFbS1tSX69gkhpCHKnEkA1HpYEa0z8Eoq/994gccZNeNNirOLm1SOeBXCKjkGEeYm\nfofyhxehomMCi5BV4FTUYOwbBWP/92veP7MeTFTdpHq0RfXOJhg1ahSOHz+O/Px8jB49GkZGRpg4\ncSL09fVbq36EkHZAmTMJAEDPXA+cgEPRiyIIq4RKqQNpOvFMgkf3/xcMvGhiMCBny0BVwVMUJO8C\nOBWYh6yUeAaCgddkqBnbQViSg7L7F+op5dVSZzAQHx+PMWPGYNy4cejfvz/27NmDgwcPIiwsTK5V\nAgkhREzZ3QQCFQH0zPUAAIVZ1DrQluU+zMXt07f516LqCpQ/TQVjwOMHLdMy0ND0wsLL+wAmgq5z\nILQ695V4j+M46PYcCQDtqqugzmBgyZIl+OGHH/DNN99g0aJFMDIywtq1a7FixQosXry4NetICHnF\nKTsYAGjcwKti+5TtWBuwFll3awb5VTxNBYRVKK00RUVZzeDTpgYDav9rGah4dhNljy5BVCFdjqiq\nHEVXDwIA9D3CZJaj5zoCAIeStDMQlreP4LLOYMDc3Bx79+7FTz/9BDs7Oz7d0dERe/bsaZXKEULa\nB/HFW8eEggFSv9yHuQCApzdq7t7LH10CALzIMeXzFL1o2jNp1IxtAQBV2ffwdPdMZHzlj8c7Jkqs\nSlic+gdE5YXQsOoJTeueMstR1beAlr0XIKxCyc0TTapLW1NnMLBr1y5oaWnBzs4O69evb806EULa\nGXEfr56ZntLqQKsQvhrKCsoA/BMUlD+6AgB4/OCfz05jWgYYY8jOyAZjDKr6ljAPWQW93iHQsHQB\np6KOyqxbyDoQDVFVORhjKPjrZwCAgee4esuV1VVQXfgMuYnfvpKPSa5zwq++vj4mTJjQmnUhhLRT\n4js5XbPWX31QTN+qZuAzBQNtF2MMVhZP4TA4D9VPkyGqHojyJ9cAAPf+VgdQM9W9McHA2c1n8WPk\nj5j2wzT4TPKBrtMw6DoNAwAIywuR+cMUVD6/gxd/LIN+nzdQlZ0OFR0T6PSof2E9ne5DkK2ug4qn\nf6MyJwOsuhzP9s2BsCQH1YXPYD5yWdNOgpK0/uofhJAOp+h5TTCgb668mUjUTdD2VZZWwj/4IUzM\nKwD8gocbjoNVlkLVsDOe3a/g8zVmNsH9pPsAgKc3pQcNqmjqw/KNL5AZNw0lN0+g/OFfAAB991Bw\nKmr1litQ04Ruj6Eoun4YOf/5EuWZV8Eqa6bQltxNgKiqHAI1TbnrqWwKe1ARIYSIiS/eymwZoLUG\n2r7SvGIYGlcCAAqLdCGqqAkiVUx7gYn+WWa3MS0D2fezAQDlheUy31c36wrz12ue9icsyQEEqtBz\ne1OusnV71XQVlN3/E6yyFLouwdCwdAGrLEXp3TNy17EtoGCAEKJw4m4CpY4ZoJaBNq/02UOoqDIU\nFajhx62esJ64Hcb+76PKqubLWUNXA0DjgoGc+zkAapbErotO9yEwHDADQM1MAVUdE7nK1rRx4wcl\nGvpMg9nIZdDtWfMk3eIbx+SuY1tA3QSEEIVijLWJMQMUDLR9Fc8fAADycjRQ+KwIKiZOMOzUCw+P\n1owb6NSrE+79eU/uYEBYLUTe4zwAdbcMiBkNmgntrgOhbtZN7vpynACW/9qA6sIsaHV2BwDoOgUi\n5z/rUHr/vxCW5kNF21Du8pSJWgYIIQpVml8KUbUImvqaUNOovx9WkfjZBM8KIBI1/kE3RPEq8x4B\nAPJzaloAch/VzCjIf5IPALDoYQGBqgDlReWoqqhqsLy8R3n8Q43KCsvqzctxHDSteza6n1/NwJoP\nBABARccYWvbegEiIktunGlWWMlEwQAhRqLYwrRAA1DTVoG2kDVG1CCU5JUqtC5FNWJgJoKZlAPhn\neqG4NcewkyF0TeVfhVA8XgAAKooq6snZsnRdggD8f3vnHR9Fmf/x97Zsem+EkEZJoUNCAiIdQVFB\nQYE79DzwJ4qeFfWsh6ee2LGe8RQVEAsnCCrlKEY6CRB6EggkJLSQhPSydX5/DDvJkoQkpOwmzPv1\n4gU7O8/sMw+7M5/51o7lKpDFgIyMTJtiySSwlAO2JbKrwM6pEvPziwrFp/NLpy+LgXPi/5dHFw9J\nVDZFDBRmF9YcuhHLQGvi0nMUCrWW6jMHMDShQ6I9IIsBG1ByvoSzh8/aehoyMu2CPQQPWpDFgH2j\nNFwErmIZCKplGWhCemFty0BjMQOtiVLrgnPPkUDHsQ7IYsAG/PuOf/OvuH/JFySZ6wJ7CB604NlV\nDOYqyi2y8UxkrkQQzGgE8eaPNgCAwtPik70lZsCji8c1uwmulk3QFrjG3AxARdqGdv3ca0UWA+1M\nVWkV2cnZGHVG8o7n2Xo6MjJtjhQzYAduAv+e/gDyb88OMZXlo1QYqShT4x8t9sOxWAZKz4u1Iaws\nA810E+jKdVIwYXvgHJ4AShX6/JOYDe0rRK4FWQy0Mzn7cxAEsXiGRe3KyHRmpJgBO3ATBPQSnzjz\nMmQxYG8Yii9nElzSEtwvGBBjBswmMyUXRCuqe6C7ZGFqkhjIKrR6rStvvyBChUqDxjMYEDAU5bTb\n514rshhoZ7JTsqV/W4JiZGQ6M/bkJgiIFMXAhYyO10ims2MoOgOI8QJBfcRWw0W5RZRcKEEwC7j6\nuqJ2UEuWgcY6FxqqDRSfK0apUkpWqfZ2FWh8wsW5FGS16+deC7IYaGdO7z0t/Vu2DMhcD9hLaiFA\nQE9RDOSfzMdkNNl4NjK1MRbXiAFLbIBRb+TMAXG7Z5AY79FUN4HFxeAd4o2zlzPQvhkFAA6XxYD+\nUna7fu61IIuBduZ0So0YkC0DMtcD9pRa6ODsgHeIN2aj2Sq4TMb2GC4XHCoqcMTJwwnvUG8ATu0+\nBdR0nWxqaqHl/9cnzAcndyegfWsNAGh8wgAwFGa36+deC20qBrZu3Up0dDQ9e/bko48+qnef5557\njoiICAYPHkx6erq0ffbs2QQEBNC3b1+r/cvKypg8eTIhISFMmTKF8vKm16i2NeUF5VYXINkyIHM9\nYE+phVDjKpDjBuwLQ63qg04eTniHiGIga7doYq9jGWgktdByrfUN98XRXaxbYCvLgKHwOncTPPbY\nYyQmJrJp0yY++eQTCgqslXhycjLbtm1j7969zJ8/n/nz50vv/fWvf2X9+rr5mf/+978JCQnhxIkT\nBAcH89lnn7XlKbQqp/eJVgHLRVG2DMh0duylL0Ft5CBC+0MQBAy13AROHk74hIrNgiwtiC01Iprq\nJrBkEviE++DoJoqB9qw1AKDxFrMiDJdyEMz27ZZqMzFQUiLe6EaMGEFoaCg33XQTe/bssdpnz549\nTJs2DW9vb2bOnElaWpr03o033oiXl1ed4yYnJzNnzhy0Wi2zZ8+uc0x7xhI82PdW0dpRfK5YyiyQ\nkemM2EtfgtrIQYT2h6nyEoK+kqpKFdVVais3gSXozyOorhi42vWztpvAYhlo7wBCpdYFlVsAgkmP\nseRcu352c2kzMZCSkkJUVJT0OiYmht27d1vtk5ycTExMjPTaz8+PkydPNvm4UVFRJCcnt+Ks2xZL\n8GDkmEi0Llr0lfp2V6oyMu2JPQUPWgiMDATg4vGLNp6JjAWjJV6gUIvGSYPaQS25CSxYLAMaRw1a\nVy0mg+mq10+LZcA33NdmlgEAh8txA3o7dxXYtIWxIAh1lJ1CoWh0TFNZsGCB9O9Ro0YxatSo5kyv\n1bEED4bFheER5MHFExcpOV+Ck4eTTeclI9NW2JuLAGTLgD1iSSu0xAsAkpvAgiVmAETrgK5cR3lB\neYPXT0uNAVvGDICYXliVvUeMG+gxolWPnZSURFJSUqscq83EQFxcHE8//bT0+ujRo0ycONFqn/j4\neI4dO8aECWKHp/z8fCIiIho9blpaGgMHDiQtLY24uLgG960tBmxN8bliis8V4+juiH9PfzyDPLl4\n4iLF54oJjAq09fRkZNoESyaBu7+7jWdSg1c3LzSOGkovlFJVWiVFmsvYDku8QG0xcKVl4EoxUJhd\nSHlBOX7d/eocr7q8mrL8MtRaNe6B7tL/cXu7CaCWZaAgu9WPfeVD7iuvvHLNx2ozN4GHh2jS2bp1\nK9nZ2WzcuJH4+HirfeLj4/npp58oLCxk+fLlREdHN3rc+Ph4Fi9eTFVVFYsXLyYhIaFN5t/aWFwE\nobGhKJVKyf8lZxTIdGbs0TKgVCpryhLLQYR2gZRWWOgoiQFXX1c0TjVxJu6BNYKysSBCS7dDn1Af\nlEolWjex8ZEt3ASaDpJR0KbZBIsWLWLu3LmMGzeOefPm4evrS2JiIomJiQAMGTKE4cOHExsby7vv\nvsvbb78tjZ05cybDhg3j+PHjdOvWja+++gqAhx56iJycHCIjIzl79iwPPvhgW55Cq2EJHgyNFaNL\npe5pckaBTCfGHmMGQHYV2BvG4pqYAYsYUCgUkqvAUn3QguX71FAVQil4MFwcb1vLwOXCQ4VZdh0w\n3qYxAyNHjrTKEACYO3eu1euFCxeycOHCOmO/++67eo/p5ubG6tWrW2+S7YTFMhAWFwbUmLxky4BM\nZ8aeCg7VxiIG5CBC+6B2KeKAWjEA3iHeXEi/ID08WXDxdQEatgxINQbCfAFqsglsYBlQOnuhdPTA\nXF2CqbwAtVtdt4Y9IFcgbAcEQZAsAxYxYHETyJYBmc6MPboJoCajQLYM2B5TVQnm6lLMaKksV1sF\nBFrSCy3XSwuNuQlq1xgAbJpNoFAo0Phcrjdgx64CWQy0A4WnC6korMDV11UKipEtAzLXA3brJpAL\nD9kN+gIxnVyPN6CwFgOXr5dXWgYaq0JYu/ogYLM6AxZquwrsFVkMtAOWC07Xvl2l1EnZMiBzPSCV\nIrZTN0He8TzM5vbrcS9Tl+rc/QCU67sC4OzpLL03YMoAug3sRtwM66yxxvoTWNIKfcKuiBmwUV2X\nmiDCbJt8flOwaZ2B64Wi3CLAOlXGonQtVQgbq68gI9MRkWIG7Mwy4OzpjJu/G2UXyyg+U1wnjU2m\n/ajOEcVAUVkX4JyVZaBrn668uP/FOmOu5iYwm81czBRjQfwiRP+8xU1gizoD0DEKD8mWgXag6Iwo\nBjyDa/JkHV0dcXR3xKgzUllUaaupyci0GYIgSBdre4sZAGvrgIxtEIx6qs8eBCA/XzTpN6UI29XE\nwKXTl9CV63APcJf2s7WbQLIM2HErY1kMtAMWMeDdrf4iGiXnZVeBTOejqqQKk8FkV30JamOJG5CD\nCG2H7sIxBKMOjU8EpZdE62hzxEB9qYVnD58FRLesBQdnBxRKBYYqAyZD+zcMUnt0QaHWYiovwKyz\nz067shhoByxuAq9g68ZLcuEhmc6MvboILEi1BtJkMWArqnL2AeAUMpjKYtFC2hQx4OLtgkKhoLKo\nEpPR+uZuEQNBfYOkbQqFoiajwAbWAYVCKXUw1BfYp6ugU4sBQRD44bEfWP2SbesS1OcmgFqWgRYG\nEeqr9Bz69RBmU/MCocoLy6koqmjRZ8vINIS9phVasJQBT/okiTeHvcmmRZsouSBb6dqT6stiwDFk\nMFUloj+/KWJAqVLi7C0GGlZcsr6G1WcZANu7CtSe4nyMpfYpPju1GCg+W8yWD7ew9rW1FJ0tstk8\nLGKgjmWgS+OWgaaYtNa+vpZPbvuEpE+S6rz34xM/8nzY83XMaQadgdcGvsabQ9+066pYMh0XS9qX\nPfUlqE30uGjiZ8WjcdJwatcpVjyxgtcGvNZgVTuZ1kUwGaR4AcduA5slBqDh9MKGxICtMwpUzuL1\n31Rln5bgTi0GLqTXKLAja4/YZA5VpVVUl1ajcdLg4u1i9d7V3ASCILD0/5bymMdjjfo00zelA3Do\nl0NW2w06A9s+30bh6UKObjhq9V5uai5FuUXkZeRRUShbB2Ran9KLpYD9WgYcnByYvXQ27+a/y/3f\n309Q7yBK80rZ+8NeW0/tukB33hIvEI7axefaxUCtIEKDzkBeRh4KhYKgmCCr/aX+BDayDKicREuw\nWRYD7U9tMXD418M2mUNtq8CV6YNXcxMkfZrE9i+2Y6gycGRdw0LGUG0gZ38OACe2nUBfpZfey9ye\nib5SfH1q5ymrcSd3npT+XZBd0JxTkpFpEvZacOhKtC5a4qbHccuLtwCwZ9keG8/o+qAq97KLoNsg\nBEGQntibKgYstSuKz9bcXC+kX8BsMuPXww8HZwer/S2WAVulF1rEgGwZsAG1n6jTNqVZ3Sjbi+Iz\n4n/8lS4CaLgKYdaeLFY8sUJ6belrUB85+3MkV4JRZyRze6b03rENx6R/1775A5zaVSMOLAU6ZGRa\nE3uPGbiS/rf3R+uqJWtPFnkn5HTDtqa6VvCgrkKH2WRG46RBpVE1abyltHv6lnRpW0MuArBtfwIQ\nexQAmCplMdDu5KWLP2ilWom+Uk/G7xntPoeG4gWg/iqE5QXlJN6ViMlgInJMJAA5+3IaPP6p3eJN\nXaEUrQ5pG2saQx1dX+MaOHv4rKSIBUGwshTIlgGZtsBemxQ1hIOzA4OmDgIg+dtkG8+mcyOYjLXi\nBQZJLoLa1Qcbo8/NfQDxOmeJe7qqGLBhNgHUchNU2i5+7Wp0ajFgcRPETo8FbOMqkMRAt3rEgKWN\n8fkSzGYzZrOZxfcspii3iPCEcOb9PA+VRkVeRl6DX2DLE76lXOex/4nWgOJzxZw9fBYHZwe6DeiG\nYBbITs4W55RbZGWNkC0DMm1BR3ET1CZ+VjwgugrkwNq2Q3fhGIKhGo13KGpX32bHCwAE9w/Go4sH\nxWeLJRFw7vA5wD4tAypn2U1gM4rOFKF2UDP6kdEAHPr1ULv/wBuqMQBiAJOzlzMmg4mKwgo2L9rM\n0fVHcfFx4YEfH8DRzZGufbsiCAI5qfVbByxiYPz88WgcNZw5eIbSvFJJFESOjqTX6F5Ajavg5C7x\nb7VWrEZt6fDVFMxmM1nJWXI9d5lGsfc6A/UROToSjy4e5J/MJ2uPfeaDdwaqaqUUAtckBhQKBb0n\n9gaQ4qqaYhmwVcyAUooZsM/01U4tBgD8e/oTNiQM90B3inKLpC/LhfQLLBy6kPfGvsePT/7IriW7\nyD2Yi1FvbNXPb6jGgAVL3MCRtUf4+bmfAbjv6/ukaoWhsWKhivpcBZdyL1F8thhnT2eC+wfT48Ye\nAKRvTpfiBWImxNB9WHegRgxYBES/2/oBzRMDm97bxML4hWx8Z2OTxwD88PgPLJmzRH7auk7QV+k5\nn3YehUKBX3f77N9eH0qVkiF/GgLIgYRtSeXJ7QA4hYprfS1iAGq5CtYdpaKogqIzRWicNPV+5yyW\nAV2Z7prn3RJqZxPY43Ww04uBgMgAlEolfSf1BUTrwIX0C7w76l2ydmeRsSWDze9v5uu/fM1rA17j\nUddHeXXAqyy5f0mrlAluqBSxBUvcwLcPfYtRb2TkvJH0u7Wf9H7I4BAATu+rG0RouamHJ4SjVCqJ\nuSkGgKMbjnJsoygGek/oLYmBU7tOYTabpXiBuJmia6Egu6BJX05BENj2+TYAtn62tcnWgcriSrZ8\nsIUdi3dw7si5Jo2R6dhk7cnCZDARPCC42Rd4W2NxFaR8n2KT0rWdHWNFIbqzh0ClwTl8KHDtYiB6\nfDRKlZLMHZnSda1LTBeUqrq3NltnEyg0jijUWgSjDsFgG1fF1ej0YsBSZcxyg92zdA/vjn6X0rxS\nIsdEMm/NPCa/NplB0wbh39Mfs9HMmYNn2PHlDpI+TWrx51/NTQA1lgFDlYEu0V2Y9vY0q/dDB4uW\ngfoyCixiIGJoBCD+MAD2fr+XisIKfMJ88O/pj2eQJz6hPlSXVpOzL4ec1BwUCgXR46Jx8XbBUGWQ\nTLpXIzslm4snxG5gBVkFVpkLV6O2ALiy3oFM5yRzm/jd6HljTxvPpPkE9w8mqHcQFYUVHFlvm/ok\nnZnKzG2AgFNoHEqtWHulqvjaxICzpzMRQyMwG81sXrQZqN9FADVuAltZBhQKRS1Xgf3FDVw3YiBq\nXBRqBzUX0i9QekEUAo/88gj9b+vPLS/cwtwVc3n1+KssKl3E1LenAnD20NkWfXZ1WTVVJVWotWpc\nfFzq3ccSRKjSqJizfE6d3NigPkGoHdRcPH6xjqKVxECCKAa69u2Km7+b5OroPbG3VNsgYpi4z5YP\nt2A2munatytO7k5Sv++CrMYzCixmU4u5bdfXuxodA3D2SM061s5wkOm8nNh6AkByXXUkFAoFsTPE\noOOj6+Tva2tTeeIPAFx6jpK2XatlAKD3zWLcQNomMZOqQTHgbtuYAQCVk3i9t8fCQ9eNGHB0dSRq\nbBQgBgk98ssjdW68lv0sfihLfMG1YimGUV/BIQvR46PRumqZ/uF0ug3oVud9jVZDUN8gBEEgNzVX\n2m4pNqRQKAiPF9tjKpVKosdFS/v0ntBb+rfFVZDyfQpQY03wDRfbhjYWN2AymNj7vViZbdbnswDY\nt2IfuorGVXbtdczclkl1uf2ZyGRaD5PRJAnVjmgZAOg5Qpx37XocMi3HrK+kKnsPoMC5xwhpe0vE\ngOV6baExMWCrbAKoVXjIDmsNdHoxYOlMBjDjoxlM/2A6D//ycL1CQBrTKwCVRkVBVkGLclKvllZo\nIWpMFItKFjHywZEN7iO5CmrFDViKDXWJ6WL1A7K4CpRqpVSnAGrEgNko+vktYsBiGWhMDBz73zHK\n8svoEtOF2Ltj6T6sO7pyHakrU686DmrEgFqrxqg3cjzpeKNjZDouuam56Cp0BPQKwD3APvsSNEZY\nbBhKtZIzh87I4rUVqczahWDSow3qi9rVV9reEjHQbUA33ANrvmeNuQlsVWcAahUeki0D7YtHFw8p\naATAr7sfYx4dg9ZFe9VxKo2KLtFdADh39NoD3i7lXgIajhewoFRe/b+hvoyCK+MFLPSd1Bf3AHdi\np8danXvXfl2tBJDFbdBUN4HFRRA/Kx6FQkHCXxIA2Pn1zquOEwRBihlIuEccI8cNdG46sovAgoOz\nA8H9gxHMAqdTGq4AKtM8Kk8kAeDSy/rhRxIDns0XA7VTDF19XRsUoLZuVAQ1tQZkN0E7Y3ERXAtB\nfcQmFy2Jfr9aKeLmUF8QoaXy4JViwM3PjTfPvcnspbOttqvUKsmd4Orrin8Pf6BpboKq0ioO/HwA\nQEq7ir07Fo2jhowtGRSebnhs8bliKosqcfZyZtjsYQAcW3+swf1lOj4ntolioKO6CCxYfluWuhwy\nLUMwGak8uQMA5x4NiIFrzDyxBIiHDApp0CVrHzEDFjeB/VUhbFMxsHXrVqKjo+nZsycfffRRvfs8\n99xzREREMHjwYNLT0xsdu2DBAoKDgxk4cCADBw5k/fr1DX5+S8SAxdTUkriBprgJmoIliDDveB5V\npVXk7M+Ryg5fKQZAtDTU94OwWAPCE8Kl95tiGUhdmYqh2kDPET3xCRX3d/Z0ZsAdAwDYvWR3g2Nr\nFwEJHxKOs5czFzMvcjHzYqPnLdPxMJvNUpaJxe/eUek+9HJK7k45buBaEAQz5Wn/Q3dBvFZVn0nF\nXF2KxjsMB58wq31bKgYG3jmQe764hxkfzWhwH1tnEwDXbzbBY489RmJiIps2beKTTz6hoMD6hpOc\nnMy2bdvYu3cv8+fPZ/78+Q2OLSwUnz4VCgVPPvkkqamppKamMnHixAY/3+ZioJG0wqaidlDTtZ84\nn3X/Wsc7I96hqqSK3hN7N+scb/y/G4kcE8lN82+StlnEwKXTl+qtGyAIAjsWi2rekn9tYdh94pP+\n1YqzWCwrXft2RalSSjENsqugc3Ih/QIVhRV4dvWUvlsdFYvQPrX7lF0WibF3yg7/wsU1z3P2m3s4\n8/WfKdr+OQAuvUbV2belYkChUDB8znACegU0uI9aq0alUWHUGzHoDNf0OS2lpj/BdSQGSkrEgj0j\nRowgNDSUm266iT17rG8ae/bsYdq0aXh7ezNz5kzS0tIaHLt7d83TZ1N/mLWDB5tLbTFwrReCqzUp\nai4WV8GGNzegq9CRcE8C81bPa9AkVh8+oT48uflJeo3sJW3Tumhx8xPTEUsvlNYZs/WzrWRuy8TJ\nw4lB0wZZvRc5JhInDyfyjuc12OzIIqYsbheLb692R0WZzoMlXqDnjT2b9d20R3zCfHAPcKeisEKq\nryHTdMoOrAJAodaiz8ug+owYbOxcK6XQQkvFQFNQKBQ2zyhobn8CfaWej275iN9e+60tpwW0oRhI\nSUkhKipKeh0TE2N1QwfRMhATEyO99vPz4+TJk42O/eijj0hISODNN9+krKzhYjktsQx4dfPC0d2R\n8oJyq4I8Gb9n8Pn0z1l00yL+FfcvXur1Ei9HvswrfV7h1QGvsvzh5ZJ4aKwUcXOwBBECTHp5Evd9\ncx9qB3WLjwsNuwrOHT3HiifFVsqzPp+Fi5d1rQSVWkXkaDFjIX1zOvVxZa1wS5XEjC0ZNlPnMm2H\npdhQRw4etKBQKCTXmpxi2Dz0+Znozh9BqXUl5OF1+N/2Ok5hCbj2vhltl5g6+7eHGADbZxQ0101w\n8JeDHFl3hF9e/qVFwexNoXXuJteIIAh1nrobe5p46KGHePnllyktLeXpp58mMTHRyr1Qmw8Xfygd\nb9SoUYwaNarJc1MoFHTt05WTO09y9vBZ3APcEQSBJfcvoeBUw/71MwfPEB4fzqCpg6gsqkTtoG6V\nRi2Dpg0ibVMa/W/vLwXxtRY+4T5kp2RTmF1IjxvEi7ih2sCXf/oSQ7WBYX8dRuzdsfWOjRobxYGf\nD5C+OZ3hc4ZbvWc2mTl/7DwAXfuIYsCrqxdd+3bl7OGzZG7PJHpsdJ1jynRcpODBDh4vYCFiZgKv\nNgAAIABJREFUaAQHVh3g5M6TDP3LUFtPp8NQenA1AK4xN6NydMc1ZgKuMRPq3VcQhBox4N62YsDW\nGQU1/QmaVur+4GqxzbMgCKx5eQ0P/vSg1ftJSUkkJSW1ytzaTAzExcXx9NNPS6+PHj1ax78fHx/P\nsWPHmDBB/JLk5+cTERGBt7d3g2P9/cUoeA8PDx5++GHmzZvXoBh45ZVXWnQOXfvWiIHocdGc2nWK\nglMFeHb15N4v78XZ01lUsgqxKE/apjRWPLGCn+b/JPmuPIM9W8Vc6uzpzP99/38tPk591GcZWPn3\nlZw5dAb/Hv5M/3B6g2MtRY7SN6VjNput0iQvZl7EqDPiHeJtpfhjJsRw9vBZ0jamyWKgE5F/Kp+i\n3CKcvZzpEtPF1tNpFaQgQtky0GTMRh3lR9cC4NZ/cqP768p1CGYBB2cHVBpVm85NchPYyDIguQkq\nxWZFV7s3mAwmjqwVy2GrHdSkrkwle282YbFh0j5XPuS25J7XZm4CDw+x7OLWrVvJzs5m48aNxMdb\nB6DFx8fz008/UVhYyPLly4mOFm8Mnp6eDY49f1580jQajSxfvpxbbrmlrU6BoL6in9ti6t69VHRV\nDPnzEHpP6E14fDiBUYEERgbStU9Xxj42ll4je1GWX8bS/1sKtE68QFvjG2adXpiRlMGWD7agVCuZ\ns3wOjq6ODY4NiAzAs6snZfllddIwr4wXsBAzXjQTWsqHynQONr23CRArwjVWO6OjEDI4BKVaybkj\n52yaktaRqDz+O+bqEhwCotAGRDW6f3u5CKCWm8BGlgGFSoPCwQUEE2Zd+VX3Pf7HcapKqgjqHcSY\nx8YAsPrF1W02tzb9xS5atIi5c+cybtw45s2bh6+vL4mJiSQmJgIwZMgQhg8fTmxsLO+++y5vv/32\nVccCPPvss/Tr14+EhAQMBgMPPfRQm83fYto+d+QcRr2RvT+I5XgTZiXUu79CoWDmpzOliwe0PK2w\nPfAJr6lCaDKY+O7h7wCY9NIkwuLCrjrW0vAI6t7cG+ot3mN4D9QOanL351JeePUfhEzH4FLOJbb/\nZzsKhYKbn7/Z1tNpNRycHAgZGIIgCGQnZ9t6Oh2C0kPiDcu9/5Qm7d+uYsAeag00sfDQgdVibZf+\nk/sz4dkJOLo5cmzDMY5vPY5BZ2Dfin18+9C37F62u1W6a7ZpzMDIkSOlDAELc+fOtXq9cOFCFi5c\n2KSxAEuWLGndSV4Fy03s3NFzHP7tMJVFlQT3D26w3CVAUEwQN82/ifULxfoHHckyUJBVwJYPt3D+\n2Hn8uvsx4Zn6fXxXEjUuil3f7CJ9czrjnxwvba+dVlgbB2cHug/vTsaWDDK2ZDD4rsGtdCYytuK3\n137DqDcSNzOOoN5BjQ/oQEQMjSA7JZtTu05Z9f6QqYuh6AzVp1NQqLW4RDft+mEpWmZp596W2DqA\nEMS4AWPxWUyVRWi86vajATFGwBIv0H9yf1x9XBn31Dh+XfArX9/7NdVl1VRcqgDEjK/VL6xm/FPj\n6z1WU+kctrw2wsXbBc8gT/SVen57VUztuDLXvj5uefEWqThPR7AMeId6A+LT3S8LfgFg+ofT0Thq\nmjTe4vc/8ccJqWMiNGwZgJpYg2Mb5RTDjk7+qXx2frUThVLBrf+41dbTaXUsGQUnd8qVCBuj9OBK\nAFyixqFybFrgdF5GHtCy7K+mYuvUQmhaRkFuai5FuUV4dPGQMsnGPTEOFx8XCk8XUnGpgm4DunHz\nCzcTEBnApZxL/PDYDy2bV4tGXwdY4gZyU3NRKBTEzYxrdIzWRcsD/32AG2bfQNyMxve3NQ5ODrgH\numM2mtGV6+h/e3/63tK3yeM9unjQJaYLugodWXuyADE/Nj8zH6VKWW+9B0vxofRN9ackynQcfvvn\nb5iNZhLuSSAwsu0v6O1Nj+E9UCgUpG1KI/dAbuMDrlOqzx2hJOVbANwHTG3yuAvpFwDa5btjD2JA\nchNcpfCQ5CK4vb8Uf+Pk7sSDPz3IpJcm8WLqi7yY+iJTXpvCgmMLeHDlg1K5+WtFFgONYIkbALHI\njlfXpj3ph8WGce+X9+Lq49pWU2tVLBkFGkcNdy+6u9njr4wbOHPoDIIgEBAZgEZb18IQMjAEZy9n\nCrIKyD+Z34KZy9iSvON57F66G6VKyaSXJtl6Om2CV1cvRj48ErPRzNf3fW1l/ZIRMVWXcnH1c2A2\n4T54Jo5d+zV5rMUy0JIicU3FXtwEcHXLQG0XQW16jezF7f+83ardvVKpZOAdA3l217MtmpcsBhqh\ntonb0nWvM2IRPROfmyg1L2oOUePEqOFj/zvGH5/9wUe3iP0kGgpAVKqURI0Vx8hZBR2TzB2ZfDjx\nQwSzwLC/DsOvu5+tp9Rm3LnwTnwjfDlz8Azr3lhn6+nYFYIgkL/2nxhLz6MNjMFn9KPNGn8h47Jl\noB3cBLauMwCNuwkKsgs4c/AMWletVRv6xmhpCrssBhrB0hNA46SRGvN0Ria/PpkHVjzALS9cW6pm\nr5G9UKqUZO3OYvlDy6ksqiTmphjueOOOBsdI1oSNshjoSJgMJta8vIZ3RrxDQVYBIYNCmPxa4/nk\nHRmti5Z7v7wXgLWvrSX3oOwusFC67wcqTySh1LriP/lfKFRNizUCMZOg9EIpGidNu8RX2brOADTe\nn+DQmkOAmKJbn1W1rbBpBcKOQLcB3Zj494kERgW2eXUsW+Lu787gadce1e/k7kT3G7pzYusJvLp5\ncff7dzPwzoFXVatS3MCWdMwmM0qVrE3tmeJzxSQvT2bn4p2cTzuPQqFg4t8nctsrt7VaaWx7JnJU\nJKMeHkXSJ0l8c983PJf8XJsXybF3qnL2Ufj7IgD8bn4ZjWdws8ZbrAIBPQPapTaFxU1g29RCUfQ0\nZBlIXSn2cLjSRdDWdP5fcAtRKBRXfbqVqeG+r+/jxNYTDJo2CK2LttH9/SL88I3wpeBUATn7cxqt\naSBjGyqKKvjq3q84svYIglksH+4d4s1fl/zVqunV9cAdC+/g8G+HyT2Qy/qF6zttnERT0F86Td6q\np8FsxCP2T7hEjmn2MaR4gai2jxcA+wogrE8MlF4s5cS2E6g0Kvrd2vS4i9ZAfhSTaTV8w30Z+peh\nTRICFhoqWCRjP2x+fzOHfz2MUqVkwB0DeGjVQ7x64tXrTggAOLo6Su6C3179jTOHzth4RrbBVFXM\nhf8+jrm6FOceN+I9+rFrOk57ZhJArZgBG7oJlE4NFx068PMBBLNA9PjodinCZDWvdv00GZkrsLgK\nNr23iaRPk+RIbTtDEAT2LBNbjz/y2yM8tPIhBkwZcF24BRoiakwUIx8aiclg4pu/ftMq1d86EoJR\nT97KpzEW5eLg3wv/215Hobw2d0l71hgAcA90ByA/M992/QmcavoTXEnqT6KLYNDUQXXea2tkMSBj\nU/pO6kuPG3tQXlDOdw9/xz+i/0HK9yl1ulnK2IZTu05RkCU254oa03id+euFO9+8E59QH3L257Dh\nrQ22nk67Uvj7IqrPpKJy9SNw6vsoHZyv+VgWy0B7pBUCuPm50WN4DwzVBg6uOdgun3klSkc3QIG5\nuhTBXPPwU1FUQfqWdJQqZbvHC4AsBmRsjIOTA/P/mM/c/84lMCqQglMFfDHzC5bPW271xCUIApk7\nMjl75Gyjx8zcnima2+xEUBjL8ik/toHS1P8imDqW5cNiFYibGScHeNbC0c2RexeL7oJfX/lVqrbZ\n2anI3Erp/h9BqSbgzndQu1/7TdxsMnMx8yKA1OW1PYidIbZjT/k+pd0+szYKpQqlk2ihMFeVStsP\n/XIIs9FMr1G9bFKf5vq19cnYDQqFgkFTB9F/cn+2f7GdHx//ka2fbSXveB5zV8zl4omLrPz7So4n\nHUepVjL17amMfWxsnUwFQ7WBVc+tYvOizQBEjo7kz4l/JqBn+11oLBhLL1C8ZwmVp3ZiLK7xK+sL\nTuE7/pl2n8+1ULs5V1PKcF9vRI2JYsSDI9j62VYSpyXy7O5ncfFysfW06lBx4g905w7jOex+lJqG\nO5A2hrEsn/y1Yotc7xEP49ild4vmVXi6EKPOiGdXTynKvz0YPG0wPzz6A8c2HKOiqMIm/2cqJ0/M\nVSWYqopRuYjl4G3pIgDZMiBjR6jUKkY+OJL5f8zHPcCdjC0ZvNTrJRYmLOR40nG0rlrMRjMrnljB\nf6b/x8rnd+7YORbGL2Tzos0o1UpcvF3I+D2DV/u9yvqF6zGbzG0yZ0EQMBt1CIJ4fGN5AQUb3yLn\n8zso3f8jxuIzKBxccApLAJWG0v0/Unrw5zaZS2tzdP1RKi5VENQniOB+zUsZu16Y+vZUgvsFk3c8\nj8RpiZI1SxAEUr5P4bOpn5GVnGWz+ZUd/pW8lfMp3v01l/745JqPIwhm8n/7B+aqEpzC4vEY8ucW\nz629XQQW3APciRwdiclg4sCqA00ac3LnSb6Y+QVFZ4paZQ5XFh6qLqvm6IajKBQKm9WzkS0DMnZH\neHw4z6U8x6e3f0rugVw0ThrGPjaWm565ifTN6SyZvYR9K/ZxYtsJHJwcKC8ol4SBfw9/5iyfg2+4\nLyueWsHuJbtZ9dwqqsuqmfJ601qqNgVj6QXKDv9K2eFfMJZcNhEr1SAIIJgABS7RE/CInYk2MAqF\nUk3podUUrHuVgv8txME3Aseu/TBWFFKRvgmlgzNufW9rtfm1Bnu+FV0E8bPiW1zdrLPi6OrIvDXz\nWBi/kIwtGXz3yHdM+dcUls9bzr4f9wGi+feu9+5i1MOj2nUdy478dvlJXgAUlO77DpeeI3EKjW32\nsUqSl1J1Ohmlkyd+k15BoWj5c6QUPGiDfhZxM+JI35xOyvcp3DD7hqvua9QbWXzPYgpOFWA2m3ng\nhwda/PlX9ic4vPYwRp2RHsN74BHY9t0b60MWAzJ2iXc3b57e/jQHVx+k16heeAaJP57B0wYT3C+Y\nz6Z+JrVIBlA7qEm4N4G73r8LR1fR5PjXb/7KoGmD+Pfkf7PhrQ3ETo9t8ROu4VIOBZvfoerULsSL\nLKBUgdkEl4OBnHuNxnv4XBz8eliNde83Gf3F45Tu+4G8VU+jDYym8tSuy+IBzPpKPAZPb9H8Wouq\nkiqpEtqQPw2x8WzsG59QH+atnsc7I99h2+fbSPk+herSarSuWmJuiiF1ZSrf/+17Mrdncs9/7mkX\nk3jZ0bXk/7YAEPAaMQ9MRop2fE7+2lcInv0dSm3TfdJVp/dy6Y9PAfCftAC1a/PLlddHe2cS1Gbg\nnQP59qFvydiSQenFUtz93Rvcd2viVgpOFQCw78d9ZD+dTVhsWIs+X+VkXXjI4iIYOHVgi47bEmQx\nIGO3aF209d6IAnoF8MK+Fzh39ByObo64+bnh6O5Y71NX/9v6M/LhkSR9nMTS+5fy7K5nrykQThAE\nSlP/y6WkDxAM1ShUDjj3GoVb39txChsCKMBkQBDMV/XL+ox+An3+Sapz9lJ5cjsoVTgGD6I6dz+F\nm99F49kV5+7Dmz2/1mb/yv0Yqg30GtUL727etp6O3RMeH85939zHFzO+oLq0mh7De3DfN/fhF+HH\n3h/3smTOEvb+sJeMLRmMeXwMo+aNwtnTOgrfbDJz/I/jHPj5AGoHNQOmDCBiaESzv69WQuDGB/Ea\nOhvBZKTi5Db0F9Io3PI+fje/1KRjGUsvkLfmORBMeMT/pVW/m7ZyE4DYnj7mphiOrD1C6k+pjHxo\nZL37VZVW8ds/xfb14QnhZO3OYuWzK3li0xMNWnkMOkOjZYRrFx7KSc3hwM+iu2LgHbIYkJFpFmoH\nNSEDQ5q075TXp3Bg1QGyU7L5/ePfGfvYWADMZjOlF0oxVBswVBswG834RvhKlgULxvIC8n/7B1XZ\notnctffN+Ix5SvpB15oUjRmBFSo1AVMWUrQ9EY1XCK7RE1C5eHNpWyLFO/9D3prnCfrzF2j9e4nx\nCFUlKLWuKFTt91O9lHOJta+tBeTAweYQNz0OlUZFdWk1CfckSDfx2LtjCe4fzFf3fkV2cjarX1jN\nhjc3MHjaYLSuWhQqBboyHYd+OURpXk10+cZ3N+Ie4M6guwYx5fUpdcqhF58rprqs2srMXnZoDfnr\nXgUEvIbPxWvY/YD4vfOf9Apnv55F2aHVOHcfjkuv0Vc9H7NRR96qZzBXFuEUloD3iHmttFIi7dmg\nqD7iZsRxZO0RUr5PaVAMbHhrA+UF5fQY3oN5q+fxYvcXydiSQdrGNGJuirHa16g38tPTP5H0aRIT\nnpnA5NcmNygYLDED+pJCvpz9JSaDiZHzRuIT6tO6J9kMFIK95F+1MgqFwm5Sy2QaxqyvwlB0GrO+\nCkFfgVlficYzGG2XmMYHN4ODaw7y6eRP0bpo+cvXfyHj9wxSV6ZSeqHUaj+FQkFgdCChsaHETo8l\nKsGD8z88jLH0PEonD3xveg7nnmNaPc1OEAQu/vIiFWkbULn4oHYPxHDpNGZdOUonT1xjJuLW91Yc\n/CPb1O+cfzKf98e+T+HpQroN7MYz25/BwdmhzT7vekIQBNI2pbF+4XoytmTUu49fdz8G3z0Yk8FE\n6k+pFGSJ5unuN3TnsQ2PSdU9T2w7wceTPkZfqWf2stnEzYij9MAqCja8DkCl12Qce8+kxw3Wrqri\n5GVc+n0RqDQE3vG29KRvNuoo3Pwe5cfWo/HogkNAFKbKIqpO7UDtEUTXvyyRiuW0BlUlVTzu+Tga\nJw0fln/YLn0J6syhtIr5/vMx6U28dOglq3b1AEVni3ip50sYqgw8s/MZug/tzoa3NrDy2ZV0G9CN\n5/c9L8276EwRiXclkrW7Jlh08uuTueX5+hu/lR3+lfy1CyjX+bMi0QeVZ3ee3/s8Dk4t+6215L4n\niwEZm1J95iDnvp1TZ7vfzS/j1u/2Vv2sxLsS2f/f/VbbXHxccHRzROMomvUuZl7EbBQzA/y6VHLf\nE2dRmkvRdulDwJ3vcGJPPp/f9TnB/YOZ9fmsVk1bNBt1nP/+IXRnD0nbFBpHBENN1oTGJwLnHsNx\njhiGY9cBmCovoctLR5+XgcY7DNfo8Vf/jMvHUmocKblQwpG1R3D2csY7xBvBLPDvKf+m+Fwx4Qnh\nPLru0TqmbJnWITslm1O7T2E2mRFMAijEzp8hg0IksScIAtkp2SROTaToTBGRYyJ55NdHyNyeyaeT\nP2HQkDN0jyrB0dmId5AjKpPofz6WOYhfvhCPMeCOAUx7e5rUXloQBAo3v0Ppvh/EWgF3vIWDXw/y\nVj2DPi+9zjwVai1BsxajDWh6K92mkJWcxcL4hQT3C+alg01zWbQFX/3lK3Yv2Y2bvxtPbHpCallv\nNpn5+r6v2bNsDwPvHMiDPz0IgL5Kz0s9X6L4bDEj5o7AM9gTk97EH//+g/KCcry6eXHj/93IL//4\nBUEQmPHRDEY/MprC04WkfJ9CXkYeEUMj6DVYQ/nGR1EgXmsUnpF4RA/HrCvDVFWCYNThGNQHp/AE\nHPx7NTlgUxYD9SCLgY6BvjCbi2ueR6FxQungAgqoOrUTlGq6TP8Yp5D6I59NVcXozh9DoXFC5eiG\nUuuGys3/qk/NJedLeGfkOwAMmjaIwdMG021gt8vfFTPVZw5iKC+lILuA7O2HCdSsw9HJhNm9DxFz\nPiU9KZtPJ3+KodoAiG2tp7w+hTGP1rUUGPVG0jalUV1WjXc3b7yCvUAhVvTL3J5JbmouvuG+RI6J\nJGpsFCqNivTN6Zz4/RBa3RF63z6CyFtGo3T2Qp+XQdmRXyg/th5zVUnNh1gCF2vh0P9BAsfcV6dc\nsKH4DCV7v6fs8BoEo4EL5YNZ8YGJyhLxYuTiZiCq3yUQFGj8ejF98bM4e8uxArZGMBu5cCid9yZ+\nQ2leKeHx4Zw9eJrxt5+kz6BLVvuaBRU7/whnx3oPXLxdMFQb0FfqUTuoGf230Yx/ajweXTxEQbDl\nPUr3fgdKNUqNE2ZdGWrPrvjf+hoAurx0DAWncO45EufwhFY/r91Ld/PVvV8x+O7BrRKdf63oK/V8\nOuVT0jam4eLjwuMbH6eyqJIfH/+Rs4fPolQp+cfRf1i5YnYs3sGSOUvqHCvmphjmfDsHV19Xtv1n\nG8seWAZAyOAQcvbl1Nnfx1/HgCEXGTi8FBUNl0ZWOXujdPZC0Fdi1lei1LrgPng67gOm1olPksVA\nPchioONSuPk9SvYuR+noTtA9X+HgHSq9Zyg5T0nKMsoOrbZ6YgbQ+ITjETsT1963NKu4SvW5IxRu\negvd+WN13ss44snGX6O55eXJrHpuFUadkeH3D8eoM7J76W4AuvbtSuSYSMLiwvDq5kXqylSSv02m\nvKD8GldAZNyT47jjjTukG7uxuppLR3ZgPL8Xw7lkTMWnMQmO5J1z5lIe0s1hw6pQzhXGEPenOBKm\n+GDO/pnK40lI2Q+XKS9Vk3OxHz5e+fh5nUGprP2+Am2XGPxvew2NV7cWnYfMtVF9/ij5a/+JoeAk\nCu8+rPkcThxSM/lPp+geVYpC44TfxBfYs+o8697eSlWlGqNBSa9RvZi9bDYAq19Yza5vdgFinE38\nrHjGPTWOLtFduPT7B5SkiDcs5+434nfrK6gc64+qz0jKIGt3Fh5BHngFe+ET6oNvhO81uaxMBhOf\n3/05B34+wKSXJnH7P1vXAthcDNUGEqclcvi3w6i1aow6MSvIJ9SHGR/PqNM90Gw2k/RxEiXnS1Ao\nFShVSnwjfK3iRECM+fjv/P8C4oND/9v7EzYkjJM7TpKxJYPK4kr6TurLQz/NpjJjE4bis6icPaV4\nguqcvVRm7cZUllfvvFUuPngMuQf3gdOk650sBupBFgMdF8FsIm/VfCozt6H26oZb71swll3EWHqB\nquxkKRVPG9QXFErRtFZegLla9P8rHT1wChmMqaoYU0UhpupSVFo3lE6eqJw9RZ+8WwAqNz+qzxyg\n/PAvAKhcfXHw73X5nimgDerLyo8FUn6ocS2MnDeSmR/PRKFQcPCXg3w791tKzpdceQoABPUJIqBX\nAEVniijKLcJQbSBsSBg9buhBaGwoFzIukLElg+N/HMdsNNNzRE+ixkahr9Tz2z9/w2wyExobStTY\nKE7tOkV2SjaGKoN0fAcHE3q9ElDgGeTJ0HFF9IvZj2CGnb93ITisjNDuoiAxmRQcO+BNynZ/1GqB\n2+4pwMu9oGayShXOPUagcvRAl5eGPj8TzCZUrv4E/SmxXkEgmAxUZm5DX3AK15iJaLzkwkStgdlQ\nTdH2REpSvgXBuliWwaBGozGidPIk8K4PpCqAG9/byPo31jPmsTHc/NzNVjel0/tOs/b1tRz8+aB0\nTQyNDaXvpD70GZiHi7cLlU5DKcotRleho/eE3rj5uQGgq9Dx3/n/ZetnW+vMM6BXAPGz4omfFY9v\neNPSDcsLy0mclsjxpOOotWqe3fVskwOB2xKj3sgXM78gdWUqWhctE5+fyLgnxrXYh79/5X5MehN9\nb+1rFZhsNpnJO56HX3e/qzb9EgQBQ1EOglGH0sEZpYML1ecOU7TjP+gviJ1e1e6BeI96FJeo8SiV\nSvsUA1u3bmXu3LkYjUYeffRR/va3v9XZ57nnnuOHH37Ay8uLb7/9lqioqKuOLSsrY9asWaSmpjJo\n0CCWLVuGq2vdnFlZDHRszPpKzn17P/qLx63fUKhwjb4Jj/h70fr3lDYLJiMVGZso2bu83if8q6LS\n4Bk3C8+hf63TdMWgM/DRzR+R8XsGo/82mukfTLd6GtJV6MjcnsnpvafJTskmPzOfXqN7Mey+YVb+\n36ue6+XqiLUv4Cd3neTLmV9SeLrQal9L1zXBLKBQKIgaG8XQvwwlamwUSpWS4j1LuJT0Yc38qlXs\n3+XHvh3+qFx9iJ0ey9B7h9JtYDDlR9dSceIPHIP64tpnEmqXmkhms66cC/994nJDmhpBIJiN6PIy\nqDi2gbKja2vasKo0eMT+Ca+hs1FqXTBVl6E7dxhjeT4qR3eUju6onDzR+IbX8X8KZhOm8nxQaVCq\nHVFotCiUV8+eMOurqDjxOypHd5zCExrd314x6ysxVVzCWHYB3fmjVJ89TPXZg5gri0ChxCPuz3jE\n/Znyo+so2fsdpvKLqN0DCbz7Yxx8wqyOJQjCVb9veSfy2Pz+ZnZ+vdNKVF6JUq2k7y196TOpDxvf\n3sjFzIuoNCqG/mUo+ko9RWeKOH/svJXlK3J0JGOfGEvfSX1RKpVcyr3Epvc2sXvpblx9XYkYGkHo\n4FA2L9pM/sl83APdmbd6HuFDwlu8hq2FyWjiyLojhMWG4dHFNoV/moogCFSd2sGlrZ9K10jH4AF0\nnfWlfYqBgQMH8sEHHxAaGsqECRPYvn07vr41CjI5OZknn3ySNWvWsGHDBr799lt+/fXXesfu2LED\nHx8f3nrrLXJzc3nnnXd46qmnCAsLY/78+XVPTBYDEklJSYwaNcrW02g2xrJ8ivcsQengiMrVD7Wr\nP9rAKNTuDaciCYKA7vxRDEW5qF18ULn6onR0x6wrx1xVjKmyiN+T/mBYpB/GsjwUKgc84+9F493w\n04nJaCLveB5doru0awW5yuJKNr23CZPRRPdh3YlIiMDVt/FiMcXJyyg7tAa3PrdA8E0c3ZiFT6gP\nvUb2qhPbcLXvhllfyYUVj0kd6hx8I6g+dxhBXynto/HtjoN3KBXHtwCi6VLp5IGh4FS9x1S5+uIS\nOQ7XqHHiDf34FipOJIk3v9oo1SjUWpQaR9TugTh3H45zjxtRe3SlNHUFJSnLJSGicvXHre9tonXC\nu1sdYWA26sBkQKFxarTVbmO/FcGox2yovJz9IvpwzYZKBH0VZn0FgqFK3KavFN83XN6ur7o87vJ2\nfRVmXWkdV5cFB78e+E58EcegPjWfbTJQdToFbWBM3bTWZqCv1JPxewaHfj3E0XVHqSqtEuNaQrww\n6U2kb06XBOo5zhHbJ5bZy2bTrX+NdchkNJG2KY09y/ZwYNUB9JV6APx7+hMyKIT9P+0cUAs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"text": [
"<matplotlib.figure.Figure at 0xb92e160>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Make dataframe and graph of new names that appear in database for every birth year\n",
"----------------------------------------------------------------------------------"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"years2 = years[years.year > 1880] # the first year, 1880, mucks up the 'new names' data\n",
"newperthou = years2.new_names * 1000.0 / years2.births_t\n",
"import scipy\n",
"zeroline = scipy.zeros(len(range(1881, 2013)))\n",
"figure(num=None, figsize=(15, 6), dpi=150, facecolor='w', edgecolor='w')\n",
"plt.plot(years2.year, newperthou, color=\"#0A5711\", linewidth = 2)\n",
"plt.fill_between(years2.year, zeroline, newperthou, color=\"#20912B\", alpha = 1.0, interpolate=True)\n",
"plt.xlim(1880,2012)\n",
"plt.xticks(scipy.arange(1880,2012,10))\n",
"plt.title(\"New names introduced per 1000 births\", size=18, color=\"#0A5711\")\n",
"plt.xlabel('Year', size=15)\n",
"plt.ylabel('Names appearing for first time / 1000 births', size=11)\n",
"plt.show()\n",
"plt.close()\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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A0UnRhg6TiIiIiIio2jJpUjdw4EAUFhaiUaNGAIA+ffogMDAQo0ePLlfXx8dH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"text": [
"<matplotlib.figure.Figure at 0x1278bc50>"
]
}
],
"prompt_number": 21
}
],
"metadata": {}
}
]
}
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