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20160208T230000Z_census_estimate_sum_from_subsample.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 20160201-predict-household-income-from-census\n",
"\n",
"Related post: \n",
"https://stharrold.github.io/20151230-predict-household-income-from-census.html\n",
"\n",
"Purpose: Predict total annual household income."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Initialization\n",
"\n",
"### Imports"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/home/samuel_harrold\n"
]
}
],
"source": [
"cd ~"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Import standard packages.\n",
"import collections\n",
"import functools\n",
"import json\n",
"import os\n",
"import pdb # TEST: Comment out pdb after testing.\n",
"import pprint\n",
"import sys\n",
"import time\n",
"# Import installed packages.\n",
"import astroML.density_estimation as astroML_dens\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"# Import local packages.\n",
"sys.path.insert(0, os.path.join(os.path.curdir, 'stharrold.github.io/content/static/dsdemos'))\n",
"# TEST: Comment out autoreload after testing.\n",
"%reload_ext autoreload\n",
"%autoreload 2\n",
"import dsdemos as dsd\n",
"# IPython magic.\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Globals"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# File paths\n",
"path_static = os.path.join(os.path.expanduser(r'~'), r'stharrold.github.io/content/static')\n",
"basename = r'20151230-predict-household-income-from-census'\n",
"path_disk = os.path.abspath(r'/mnt/disk-20151227t211000z/')\n",
"path_acs = os.path.join(path_disk, r'www2-census-gov/programs-surveys/acs/')\n",
"path_pcsv = os.path.join(path_acs, r'data/pums/2013/5-Year/ss13pdc.csv') # 'pdc' = 'person DC'\n",
"path_hcsv = os.path.join(path_acs, r'data/pums/2013/5-Year/ss13hdc.csv') # 'hdc' = 'housing DC'\n",
"path_ecsv = os.path.join(path_acs, r'tech_docs/pums/estimates/pums_estimates_9_13.csv')\n",
"path_dtxt = os.path.join(path_acs, r'tech_docs/pums/data_dict/PUMS_Data_Dictionary_2009-2013.txt')\n",
"# Weights\n",
"pwt = 'PWGTP' # person weight\n",
"pwts = [pwt+str(inum) for inum in range(1, 81)]\n",
"hwt = 'WGTP' # housing weight\n",
"hwts = [hwt+str(inum) for inum in range(1, 81)]\n",
"# Statistics\n",
"# percentiles = [-1.6449 sigma, -1 sigma, mean, +1 sigma, +1.6449 sigma] for normal distribution\n",
"# 90.00% confidence interval = (percentiles[0], percentiles[-1])\n",
"# 68.27% confidence interval = (percentiles[1], percentiles[-2])\n",
"# median = percentiles[2]\n",
"percentiles = [0.0500, 0.1587, 0.5000, 0.8413, 0.9500]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Extract-transform-load\n",
"\n",
"**TODO:**\n",
"* Just use pandas. Acknowledge dask."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### PUMS data\n",
"\n",
"https://www.census.gov/programs-surveys/acs/data/data-via-ftp.html\n",
"\n",
"http://www2.census.gov/programs-surveys/acs/data/pums/2013/5-Year/ss13pdc.csv\n",
"\n",
"http://www2.census.gov/programs-surveys/acs/data/pums/2013/5-Year/ss13hdc.csv"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/mnt/disk-20151227t211000z/www2-census-gov/programs-surveys/acs/data/pums/2013/5-Year/ss13pdc.csv:\n",
" size (MB) = 30.5\n",
" num lines = 30560\n",
"/mnt/disk-20151227t211000z/www2-census-gov/programs-surveys/acs/data/pums/2013/5-Year/ss13hdc.csv:\n",
" size (MB) = 13.5\n",
" num lines = 17501\n",
"\n",
"dfp RAM usage (MB) = 72.1\n",
"dfh RAM usage (MB) = 28.7\n",
"\n",
"Time elapsed (sec) = 1.7\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/samuel_harrold/anaconda3/lib/python3.5/site-packages/IPython/core/interactiveshell.py:2902: DtypeWarning: Columns (107,108,109) have mixed types. Specify dtype option on import or set low_memory=False.\n",
" interactivity=interactivity, compiler=compiler, result=result)\n"
]
}
],
"source": [
"time_start = time.perf_counter()\n",
"for path in [path_pcsv, path_hcsv]:\n",
" with open(path) as fobj:\n",
" nlines = sum(1 for _ in fobj)\n",
" print(\"{path}:\".format(path=path))\n",
" print(\" size (MB) = {size:.1f}\".format(size=os.path.getsize(path)/1e6))\n",
" print(\" num lines = {nlines}\".format(nlines=nlines))\n",
"print()\n",
"dfp = pd.read_csv(path_pcsv)\n",
"dfh = pd.read_csv(path_hcsv)\n",
"for (name, df) in [('dfp', dfp), ('dfh', dfh)]:\n",
" print(\"{name} RAM usage (MB) = {mem:.1f}\".format(\n",
" name=name, mem=df.memory_usage().sum()/1e6))\n",
"time_stop = time.perf_counter()\n",
"print()\n",
"print(\"Time elapsed (sec) = {diff:.1f}\".format(diff=time_stop-time_start))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['RT' 'SERIALNO' 'SPORDER' 'PUMA00' 'PUMA10' 'ST' 'ADJINC' 'PWGTP' 'AGEP'\n",
" 'CIT' 'CITWP05' 'CITWP12' 'COW' 'DDRS' 'DEAR' 'DEYE' 'DOUT' 'DPHY' 'DRAT'\n",
" 'DRATX' 'DREM' 'ENG' 'FER' 'GCL' 'GCM' 'GCR' 'HINS1' 'HINS2' 'HINS3'\n",
" 'HINS4' 'HINS5' 'HINS6' 'HINS7' 'INTP' 'JWMNP' 'JWRIP' 'JWTR' 'LANX' 'MAR'\n",
" 'MARHD' 'MARHM' 'MARHT' 'MARHW' 'MARHYP05' 'MARHYP12' 'MIG' 'MIL' 'MLPA'\n",
" 'MLPB' 'MLPCD' 'MLPE' 'MLPFG' 'MLPH' 'MLPI' 'MLPJ' 'MLPK' 'NWAB' 'NWAV'\n",
" 'NWLA' 'NWLK' 'NWRE' 'OIP' 'PAP' 'RELP' 'RETP' 'SCH' 'SCHG' 'SCHL' 'SEMP'\n",
" 'SEX' 'SSIP' 'SSP' 'WAGP' 'WKHP' 'WKL' 'WKW' 'WRK' 'YOEP05' 'YOEP12' 'ANC'\n",
" 'ANC1P05' 'ANC1P12' 'ANC2P05' 'ANC2P12' 'DECADE' 'DIS' 'DRIVESP' 'ESP'\n",
" 'ESR' 'FOD1P' 'FOD2P' 'HICOV' 'HISP' 'INDP' 'JWAP' 'JWDP' 'LANP05'\n",
" 'LANP12' 'MIGPUMA00' 'MIGPUMA10' 'MIGSP05' 'MIGSP12' 'MSP' 'NAICSP'\n",
" 'NATIVITY' 'NOP' 'OC' 'OCCP02' 'OCCP10' 'OCCP12' 'PAOC' 'PERNP' 'PINCP'\n",
" 'POBP05' 'POBP12' 'POVPIP' 'POWPUMA00' 'POWPUMA10' 'POWSP05' 'POWSP12'\n",
" 'PRIVCOV' 'PUBCOV' 'QTRBIR' 'RAC1P' 'RAC2P05' 'RAC2P12' 'RAC3P05'\n",
" 'RAC3P12' 'RACAIAN' 'RACASN' 'RACBLK' 'RACNHPI' 'RACNUM' 'RACSOR' 'RACWHT'\n",
" 'RC' 'SCIENGP' 'SCIENGRLP' 'SFN' 'SFR' 'SOCP00' 'SOCP10' 'SOCP12' 'VPS'\n",
" 'WAOB' 'FAGEP' 'FANCP' 'FCITP' 'FCITWP' 'FCOWP' 'FDDRSP' 'FDEARP' 'FDEYEP'\n",
" 'FDOUTP' 'FDPHYP' 'FDRATP' 'FDRATXP' 'FDREMP' 'FENGP' 'FESRP' 'FFERP'\n",
" 'FFODP' 'FGCLP' 'FGCMP' 'FGCRP' 'FHINS1P' 'FHINS2P' 'FHINS3C' 'FHINS3P'\n",
" 'FHINS4C' 'FHINS4P' 'FHINS5C' 'FHINS5P' 'FHINS6P' 'FHINS7P' 'FHISP'\n",
" 'FINDP' 'FINTP' 'FJWDP' 'FJWMNP' 'FJWRIP' 'FJWTRP' 'FLANP' 'FLANXP'\n",
" 'FMARHDP' 'FMARHMP' 'FMARHTP' 'FMARHWP' 'FMARHYP' 'FMARP' 'FMIGP' 'FMIGSP'\n",
" 'FMILPP' 'FMILSP' 'FOCCP' 'FOIP' 'FPAP' 'FPOBP' 'FPOWSP' 'FRACP' 'FRELP'\n",
" 'FRETP' 'FSCHGP' 'FSCHLP' 'FSCHP' 'FSEMP' 'FSEXP' 'FSSIP' 'FSSP' 'FWAGP'\n",
" 'FWKHP' 'FWKLP' 'FWKWP' 'FWRKP' 'FYOEP' 'PWGTP1' 'PWGTP2' 'PWGTP3'\n",
" 'PWGTP4' 'PWGTP5' 'PWGTP6' 'PWGTP7' 'PWGTP8' 'PWGTP9' 'PWGTP10' 'PWGTP11'\n",
" 'PWGTP12' 'PWGTP13' 'PWGTP14' 'PWGTP15' 'PWGTP16' 'PWGTP17' 'PWGTP18'\n",
" 'PWGTP19' 'PWGTP20' 'PWGTP21' 'PWGTP22' 'PWGTP23' 'PWGTP24' 'PWGTP25'\n",
" 'PWGTP26' 'PWGTP27' 'PWGTP28' 'PWGTP29' 'PWGTP30' 'PWGTP31' 'PWGTP32'\n",
" 'PWGTP33' 'PWGTP34' 'PWGTP35' 'PWGTP36' 'PWGTP37' 'PWGTP38' 'PWGTP39'\n",
" 'PWGTP40' 'PWGTP41' 'PWGTP42' 'PWGTP43' 'PWGTP44' 'PWGTP45' 'PWGTP46'\n",
" 'PWGTP47' 'PWGTP48' 'PWGTP49' 'PWGTP50' 'PWGTP51' 'PWGTP52' 'PWGTP53'\n",
" 'PWGTP54' 'PWGTP55' 'PWGTP56' 'PWGTP57' 'PWGTP58' 'PWGTP59' 'PWGTP60'\n",
" 'PWGTP61' 'PWGTP62' 'PWGTP63' 'PWGTP64' 'PWGTP65' 'PWGTP66' 'PWGTP67'\n",
" 'PWGTP68' 'PWGTP69' 'PWGTP70' 'PWGTP71' 'PWGTP72' 'PWGTP73' 'PWGTP74'\n",
" 'PWGTP75' 'PWGTP76' 'PWGTP77' 'PWGTP78' 'PWGTP79' 'PWGTP80']\n"
]
},
{
"data": {
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" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>RT</th>\n",
" <th>SERIALNO</th>\n",
" <th>SPORDER</th>\n",
" <th>PUMA00</th>\n",
" <th>PUMA10</th>\n",
" <th>ST</th>\n",
" <th>ADJINC</th>\n",
" <th>PWGTP</th>\n",
" <th>AGEP</th>\n",
" <th>CIT</th>\n",
" <th>...</th>\n",
" <th>PWGTP71</th>\n",
" <th>PWGTP72</th>\n",
" <th>PWGTP73</th>\n",
" <th>PWGTP74</th>\n",
" <th>PWGTP75</th>\n",
" <th>PWGTP76</th>\n",
" <th>PWGTP77</th>\n",
" <th>PWGTP78</th>\n",
" <th>PWGTP79</th>\n",
" <th>PWGTP80</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>P</td>\n",
" <td>2009000000403</td>\n",
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" <td>-9</td>\n",
" <td>11</td>\n",
" <td>1085467</td>\n",
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" <td>...</td>\n",
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" <td>P</td>\n",
" <td>2009000001113</td>\n",
" <td>2</td>\n",
" <td>103</td>\n",
" <td>-9</td>\n",
" <td>11</td>\n",
" <td>1085467</td>\n",
" <td>25</td>\n",
" <td>39</td>\n",
" <td>1</td>\n",
" <td>...</td>\n",
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" <td>-9</td>\n",
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" <td>6</td>\n",
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" <td>32</td>\n",
" <td>5</td>\n",
" <td>30</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>P</td>\n",
" <td>2009000001978</td>\n",
" <td>1</td>\n",
" <td>103</td>\n",
" <td>-9</td>\n",
" <td>11</td>\n",
" <td>1085467</td>\n",
" <td>37</td>\n",
" <td>53</td>\n",
" <td>1</td>\n",
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" <td>65</td>\n",
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" </tbody>\n",
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"<p>5 rows × 295 columns</p>\n",
"</div>"
],
"text/plain": [
" RT SERIALNO SPORDER PUMA00 PUMA10 ST ADJINC PWGTP AGEP CIT \\\n",
"0 P 2009000000403 1 102 -9 11 1085467 20 38 1 \n",
"1 P 2009000001113 1 103 -9 11 1085467 13 78 1 \n",
"2 P 2009000001113 2 103 -9 11 1085467 25 39 1 \n",
"3 P 2009000001113 3 103 -9 11 1085467 17 8 1 \n",
"4 P 2009000001978 1 103 -9 11 1085467 37 53 1 \n",
"\n",
" ... PWGTP71 PWGTP72 PWGTP73 PWGTP74 PWGTP75 PWGTP76 PWGTP77 \\\n",
"0 ... 6 26 31 32 26 6 36 \n",
"1 ... 13 30 12 13 4 4 18 \n",
"2 ... 26 50 23 20 8 7 38 \n",
"3 ... 15 32 17 15 6 4 26 \n",
"4 ... 65 12 13 37 36 41 57 \n",
"\n",
" PWGTP78 PWGTP79 PWGTP80 \n",
"0 6 19 20 \n",
"1 24 4 21 \n",
"2 41 7 37 \n",
"3 32 5 30 \n",
"4 36 11 33 \n",
"\n",
"[5 rows x 295 columns]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"print(dfp.columns.values)\n",
"dfp.head()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['insp' 'RT' 'SERIALNO' 'DIVISION' 'PUMA00' 'PUMA10' 'REGION' 'ST' 'ADJHSG'\n",
" 'ADJINC' 'WGTP' 'NP' 'TYPE' 'ACR' 'AGS' 'BATH' 'BDSP' 'BLD' 'BUS' 'CONP'\n",
" 'ELEP' 'FS' 'FULP' 'GASP' 'HFL' 'MHP' 'MRGI' 'MRGP' 'MRGT' 'MRGX' 'REFR'\n",
" 'RMSP' 'RNTM' 'RNTP' 'RWAT' 'RWATPR' 'SINK' 'SMP' 'STOV' 'TEL' 'TEN'\n",
" 'TOIL' 'VACS' 'VALP' 'VEH' 'WATP' 'YBL' 'FES' 'FINCP' 'FPARC' 'GRNTP'\n",
" 'GRPIP' 'HHL' 'HHT' 'HINCP' 'HUGCL' 'HUPAC' 'HUPAOC' 'HUPARC' 'KIT' 'LNGI'\n",
" 'MULTG' 'MV' 'NOC' 'NPF' 'NPP' 'NR' 'NRC' 'OCPIP' 'PARTNER' 'PLM' 'PSF'\n",
" 'R18' 'R60' 'R65' 'RESMODE' 'SMOCP' 'SMX' 'SRNT' 'SVAL' 'TAXP' 'WIF'\n",
" 'WKEXREL' 'WORKSTAT' 'FACRP' 'FAGSP' 'FBATHP' 'FBDSP' 'FBLDP' 'FBUSP'\n",
" 'FCONP' 'FELEP' 'FFSP' 'FFULP' 'FGASP' 'FHFLP' 'FINSP' 'FKITP' 'FMHP'\n",
" 'FMRGIP' 'FMRGP' 'FMRGTP' 'FMRGXP' 'FMVP' 'FPLMP' 'FREFRP' 'FRMSP'\n",
" 'FRNTMP' 'FRNTP' 'FRWATP' 'FRWATPRP' 'FSINKP' 'FSMP' 'FSMXHP' 'FSMXSP'\n",
" 'FSTOVP' 'FTAXP' 'FTELP' 'FTENP' 'FTOILP' 'FVACSP' 'FVALP' 'FVEHP' 'FWATP'\n",
" 'FYBLP' 'WGTP1' 'WGTP2' 'WGTP3' 'WGTP4' 'WGTP5' 'WGTP6' 'WGTP7' 'WGTP8'\n",
" 'WGTP9' 'WGTP10' 'WGTP11' 'WGTP12' 'WGTP13' 'WGTP14' 'WGTP15' 'WGTP16'\n",
" 'WGTP17' 'WGTP18' 'WGTP19' 'WGTP20' 'WGTP21' 'WGTP22' 'WGTP23' 'WGTP24'\n",
" 'WGTP25' 'WGTP26' 'WGTP27' 'WGTP28' 'WGTP29' 'WGTP30' 'WGTP31' 'WGTP32'\n",
" 'WGTP33' 'WGTP34' 'WGTP35' 'WGTP36' 'WGTP37' 'WGTP38' 'WGTP39' 'WGTP40'\n",
" 'WGTP41' 'WGTP42' 'WGTP43' 'WGTP44' 'WGTP45' 'WGTP46' 'WGTP47' 'WGTP48'\n",
" 'WGTP49' 'WGTP50' 'WGTP51' 'WGTP52' 'WGTP53' 'WGTP54' 'WGTP55' 'WGTP56'\n",
" 'WGTP57' 'WGTP58' 'WGTP59' 'WGTP60' 'WGTP61' 'WGTP62' 'WGTP63' 'WGTP64'\n",
" 'WGTP65' 'WGTP66' 'WGTP67' 'WGTP68' 'WGTP69' 'WGTP70' 'WGTP71' 'WGTP72'\n",
" 'WGTP73' 'WGTP74' 'WGTP75' 'WGTP76' 'WGTP77' 'WGTP78' 'WGTP79' 'WGTP80']\n"
]
},
{
"data": {
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" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>insp</th>\n",
" <th>RT</th>\n",
" <th>SERIALNO</th>\n",
" <th>DIVISION</th>\n",
" <th>PUMA00</th>\n",
" <th>PUMA10</th>\n",
" <th>REGION</th>\n",
" <th>ST</th>\n",
" <th>ADJHSG</th>\n",
" <th>ADJINC</th>\n",
" <th>...</th>\n",
" <th>WGTP71</th>\n",
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" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>600</td>\n",
" <td>H</td>\n",
" <td>2009000000403</td>\n",
" <td>5</td>\n",
" <td>102</td>\n",
" <td>-9</td>\n",
" <td>3</td>\n",
" <td>11</td>\n",
" <td>1086032</td>\n",
" <td>1085467</td>\n",
" <td>...</td>\n",
" <td>6</td>\n",
" <td>25</td>\n",
" <td>30</td>\n",
" <td>32</td>\n",
" <td>26</td>\n",
" <td>6</td>\n",
" <td>36</td>\n",
" <td>6</td>\n",
" <td>18</td>\n",
" <td>19</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>NaN</td>\n",
" <td>H</td>\n",
" <td>2009000001113</td>\n",
" <td>5</td>\n",
" <td>103</td>\n",
" <td>-9</td>\n",
" <td>3</td>\n",
" <td>11</td>\n",
" <td>1086032</td>\n",
" <td>1085467</td>\n",
" <td>...</td>\n",
" <td>14</td>\n",
" <td>29</td>\n",
" <td>12</td>\n",
" <td>12</td>\n",
" <td>4</td>\n",
" <td>4</td>\n",
" <td>18</td>\n",
" <td>23</td>\n",
" <td>4</td>\n",
" <td>22</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>480</td>\n",
" <td>H</td>\n",
" <td>2009000001978</td>\n",
" <td>5</td>\n",
" <td>103</td>\n",
" <td>-9</td>\n",
" <td>3</td>\n",
" <td>11</td>\n",
" <td>1086032</td>\n",
" <td>1085467</td>\n",
" <td>...</td>\n",
" <td>65</td>\n",
" <td>12</td>\n",
" <td>14</td>\n",
" <td>37</td>\n",
" <td>36</td>\n",
" <td>41</td>\n",
" <td>57</td>\n",
" <td>36</td>\n",
" <td>11</td>\n",
" <td>34</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>NaN</td>\n",
" <td>H</td>\n",
" <td>2009000002250</td>\n",
" <td>5</td>\n",
" <td>105</td>\n",
" <td>-9</td>\n",
" <td>3</td>\n",
" <td>11</td>\n",
" <td>1086032</td>\n",
" <td>1085467</td>\n",
" <td>...</td>\n",
" <td>4</td>\n",
" <td>4</td>\n",
" <td>4</td>\n",
" <td>4</td>\n",
" <td>23</td>\n",
" <td>14</td>\n",
" <td>11</td>\n",
" <td>4</td>\n",
" <td>20</td>\n",
" <td>21</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>2500</td>\n",
" <td>H</td>\n",
" <td>2009000002985</td>\n",
" <td>5</td>\n",
" <td>101</td>\n",
" <td>-9</td>\n",
" <td>3</td>\n",
" <td>11</td>\n",
" <td>1086032</td>\n",
" <td>1085467</td>\n",
" <td>...</td>\n",
" <td>66</td>\n",
" <td>45</td>\n",
" <td>10</td>\n",
" <td>35</td>\n",
" <td>34</td>\n",
" <td>10</td>\n",
" <td>34</td>\n",
" <td>55</td>\n",
" <td>50</td>\n",
" <td>10</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>5 rows × 205 columns</p>\n",
"</div>"
],
"text/plain": [
" insp RT SERIALNO DIVISION PUMA00 PUMA10 REGION ST ADJHSG \\\n",
"0 600 H 2009000000403 5 102 -9 3 11 1086032 \n",
"1 NaN H 2009000001113 5 103 -9 3 11 1086032 \n",
"2 480 H 2009000001978 5 103 -9 3 11 1086032 \n",
"3 NaN H 2009000002250 5 105 -9 3 11 1086032 \n",
"4 2500 H 2009000002985 5 101 -9 3 11 1086032 \n",
"\n",
" ADJINC ... WGTP71 WGTP72 WGTP73 WGTP74 WGTP75 WGTP76 WGTP77 \\\n",
"0 1085467 ... 6 25 30 32 26 6 36 \n",
"1 1085467 ... 14 29 12 12 4 4 18 \n",
"2 1085467 ... 65 12 14 37 36 41 57 \n",
"3 1085467 ... 4 4 4 4 23 14 11 \n",
"4 1085467 ... 66 45 10 35 34 10 34 \n",
"\n",
" WGTP78 WGTP79 WGTP80 \n",
"0 6 18 19 \n",
"1 23 4 22 \n",
"2 36 11 34 \n",
"3 4 20 21 \n",
"4 55 50 10 \n",
"\n",
"[5 rows x 205 columns]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"print(dfh.columns.values)\n",
"dfh.head()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[('insp', dtype('float64')),\n",
" ('RT', dtype('O')),\n",
" ('SERIALNO', dtype('int64')),\n",
" ('DIVISION', dtype('int64')),\n",
" ('PUMA00', dtype('int64')),\n",
" ('PUMA10', dtype('int64')),\n",
" ('REGION', dtype('int64')),\n",
" ('ST', dtype('int64')),\n",
" ('ADJHSG', dtype('int64')),\n",
" ('ADJINC', dtype('int64')),\n",
" ('WGTP', dtype('int64')),\n",
" ('NP', dtype('int64')),\n",
" ('TYPE', dtype('int64')),\n",
" ('ACR', dtype('float64')),\n",
" ('AGS', dtype('float64')),\n",
" ('BATH', dtype('float64')),\n",
" ('BDSP', dtype('float64')),\n",
" ('BLD', dtype('float64')),\n",
" ('BUS', dtype('float64')),\n",
" ('CONP', dtype('float64')),\n",
" ('ELEP', dtype('float64')),\n",
" ('FS', dtype('float64')),\n",
" ('FULP', dtype('float64')),\n",
" ('GASP', dtype('float64')),\n",
" ('HFL', dtype('float64')),\n",
" ('MHP', dtype('float64')),\n",
" ('MRGI', dtype('float64')),\n",
" ('MRGP', dtype('float64')),\n",
" ('MRGT', dtype('float64')),\n",
" ('MRGX', dtype('float64')),\n",
" ('REFR', dtype('float64')),\n",
" ('RMSP', dtype('float64')),\n",
" ('RNTM', dtype('float64')),\n",
" ('RNTP', dtype('float64')),\n",
" ('RWAT', dtype('float64')),\n",
" ('RWATPR', dtype('float64')),\n",
" ('SINK', dtype('float64')),\n",
" ('SMP', dtype('float64')),\n",
" ('STOV', dtype('float64')),\n",
" ('TEL', dtype('float64')),\n",
" ('TEN', dtype('float64')),\n",
" ('TOIL', dtype('float64')),\n",
" ('VACS', dtype('float64')),\n",
" ('VALP', dtype('float64')),\n",
" ('VEH', dtype('float64')),\n",
" ('WATP', dtype('float64')),\n",
" ('YBL', dtype('float64')),\n",
" ('FES', dtype('float64')),\n",
" ('FINCP', dtype('float64')),\n",
" ('FPARC', dtype('float64')),\n",
" ('GRNTP', dtype('float64')),\n",
" ('GRPIP', dtype('float64')),\n",
" ('HHL', dtype('float64')),\n",
" ('HHT', dtype('float64')),\n",
" ('HINCP', dtype('float64')),\n",
" ('HUGCL', dtype('float64')),\n",
" ('HUPAC', dtype('float64')),\n",
" ('HUPAOC', dtype('float64')),\n",
" ('HUPARC', dtype('float64')),\n",
" ('KIT', dtype('float64')),\n",
" ('LNGI', dtype('float64')),\n",
" ('MULTG', dtype('float64')),\n",
" ('MV', dtype('float64')),\n",
" ('NOC', dtype('float64')),\n",
" ('NPF', dtype('float64')),\n",
" ('NPP', dtype('float64')),\n",
" ('NR', dtype('float64')),\n",
" ('NRC', dtype('float64')),\n",
" ('OCPIP', dtype('float64')),\n",
" ('PARTNER', dtype('float64')),\n",
" ('PLM', dtype('float64')),\n",
" ('PSF', dtype('float64')),\n",
" ('R18', dtype('float64')),\n",
" ('R60', dtype('float64')),\n",
" ('R65', dtype('float64')),\n",
" ('RESMODE', dtype('float64')),\n",
" ('SMOCP', dtype('float64')),\n",
" ('SMX', dtype('float64')),\n",
" ('SRNT', dtype('float64')),\n",
" ('SVAL', dtype('float64')),\n",
" ('TAXP', dtype('float64')),\n",
" ('WIF', dtype('float64')),\n",
" ('WKEXREL', dtype('float64')),\n",
" ('WORKSTAT', dtype('float64')),\n",
" ('FACRP', dtype('float64')),\n",
" ('FAGSP', dtype('float64')),\n",
" ('FBATHP', dtype('float64')),\n",
" ('FBDSP', dtype('float64')),\n",
" ('FBLDP', dtype('float64')),\n",
" ('FBUSP', dtype('float64')),\n",
" ('FCONP', dtype('float64')),\n",
" ('FELEP', dtype('float64')),\n",
" ('FFSP', dtype('int64')),\n",
" ('FFULP', dtype('float64')),\n",
" ('FGASP', dtype('float64')),\n",
" ('FHFLP', dtype('float64')),\n",
" ('FINSP', dtype('float64')),\n",
" ('FKITP', dtype('float64')),\n",
" ('FMHP', dtype('float64')),\n",
" ('FMRGIP', dtype('float64')),\n",
" ('FMRGP', dtype('float64')),\n",
" ('FMRGTP', dtype('float64')),\n",
" ('FMRGXP', dtype('float64')),\n",
" ('FMVP', dtype('int64')),\n",
" ('FPLMP', dtype('float64')),\n",
" ('FREFRP', dtype('float64')),\n",
" ('FRMSP', dtype('float64')),\n",
" ('FRNTMP', dtype('float64')),\n",
" ('FRNTP', dtype('float64')),\n",
" ('FRWATP', dtype('float64')),\n",
" ('FRWATPRP', dtype('float64')),\n",
" ('FSINKP', dtype('float64')),\n",
" ('FSMP', dtype('float64')),\n",
" ('FSMXHP', dtype('float64')),\n",
" ('FSMXSP', dtype('float64')),\n",
" ('FSTOVP', dtype('float64')),\n",
" ('FTAXP', dtype('float64')),\n",
" ('FTELP', dtype('float64')),\n",
" ('FTENP', dtype('float64')),\n",
" ('FTOILP', dtype('float64')),\n",
" ('FVACSP', dtype('float64')),\n",
" ('FVALP', dtype('float64')),\n",
" ('FVEHP', dtype('float64')),\n",
" ('FWATP', dtype('float64')),\n",
" ('FYBLP', dtype('float64')),\n",
" ('WGTP1', dtype('int64')),\n",
" ('WGTP2', dtype('int64')),\n",
" ('WGTP3', dtype('int64')),\n",
" ('WGTP4', dtype('int64')),\n",
" ('WGTP5', dtype('int64')),\n",
" ('WGTP6', dtype('int64')),\n",
" ('WGTP7', dtype('int64')),\n",
" ('WGTP8', dtype('int64')),\n",
" ('WGTP9', dtype('int64')),\n",
" ('WGTP10', dtype('int64')),\n",
" ('WGTP11', dtype('int64')),\n",
" ('WGTP12', dtype('int64')),\n",
" ('WGTP13', dtype('int64')),\n",
" ('WGTP14', dtype('int64')),\n",
" ('WGTP15', dtype('int64')),\n",
" ('WGTP16', dtype('int64')),\n",
" ('WGTP17', dtype('int64')),\n",
" ('WGTP18', dtype('int64')),\n",
" ('WGTP19', dtype('int64')),\n",
" ('WGTP20', dtype('int64')),\n",
" ('WGTP21', dtype('int64')),\n",
" ('WGTP22', dtype('int64')),\n",
" ('WGTP23', dtype('int64')),\n",
" ('WGTP24', dtype('int64')),\n",
" ('WGTP25', dtype('int64')),\n",
" ('WGTP26', dtype('int64')),\n",
" ('WGTP27', dtype('int64')),\n",
" ('WGTP28', dtype('int64')),\n",
" ('WGTP29', dtype('int64')),\n",
" ('WGTP30', dtype('int64')),\n",
" ('WGTP31', dtype('int64')),\n",
" ('WGTP32', dtype('int64')),\n",
" ('WGTP33', dtype('int64')),\n",
" ('WGTP34', dtype('int64')),\n",
" ('WGTP35', dtype('int64')),\n",
" ('WGTP36', dtype('int64')),\n",
" ('WGTP37', dtype('int64')),\n",
" ('WGTP38', dtype('int64')),\n",
" ('WGTP39', dtype('int64')),\n",
" ('WGTP40', dtype('int64')),\n",
" ('WGTP41', dtype('int64')),\n",
" ('WGTP42', dtype('int64')),\n",
" ('WGTP43', dtype('int64')),\n",
" ('WGTP44', dtype('int64')),\n",
" ('WGTP45', dtype('int64')),\n",
" ('WGTP46', dtype('int64')),\n",
" ('WGTP47', dtype('int64')),\n",
" ('WGTP48', dtype('int64')),\n",
" ('WGTP49', dtype('int64')),\n",
" ('WGTP50', dtype('int64')),\n",
" ('WGTP51', dtype('int64')),\n",
" ('WGTP52', dtype('int64')),\n",
" ('WGTP53', dtype('int64')),\n",
" ('WGTP54', dtype('int64')),\n",
" ('WGTP55', dtype('int64')),\n",
" ('WGTP56', dtype('int64')),\n",
" ('WGTP57', dtype('int64')),\n",
" ('WGTP58', dtype('int64')),\n",
" ('WGTP59', dtype('int64')),\n",
" ('WGTP60', dtype('int64')),\n",
" ('WGTP61', dtype('int64')),\n",
" ('WGTP62', dtype('int64')),\n",
" ('WGTP63', dtype('int64')),\n",
" ('WGTP64', dtype('int64')),\n",
" ('WGTP65', dtype('int64')),\n",
" ('WGTP66', dtype('int64')),\n",
" ('WGTP67', dtype('int64')),\n",
" ('WGTP68', dtype('int64')),\n",
" ('WGTP69', dtype('int64')),\n",
" ('WGTP70', dtype('int64')),\n",
" ('WGTP71', dtype('int64')),\n",
" ('WGTP72', dtype('int64')),\n",
" ('WGTP73', dtype('int64')),\n",
" ('WGTP74', dtype('int64')),\n",
" ('WGTP75', dtype('int64')),\n",
" ('WGTP76', dtype('int64')),\n",
" ('WGTP77', dtype('int64')),\n",
" ('WGTP78', dtype('int64')),\n",
" ('WGTP79', dtype('int64')),\n",
" ('WGTP80', dtype('int64'))]\n"
]
}
],
"source": [
"pprint.pprint(list(zip(dfh.columns.values, dfh.dtypes.values)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### PUMS estimates for user verification\n",
"\n",
"Documentation page:\n",
"https://www.census.gov/programs-surveys/acs/technical-documentation/pums/documentation.2013.html\n",
"\n",
"User verification files:\n",
"http://www2.census.gov/programs-surveys/acs/tech_docs/pums/estimates/pums_estimates_9_13.csv\n",
"\n",
"For general purpose information: \n",
"http://www2.census.gov/programs-surveys/acs/tech_docs/pums/ACS2009_2013_PUMS_README.pdf \n",
"\n",
"For accuracy error formulas and inflation adjustments:\n",
"http://www2.census.gov/programs-surveys/acs/tech_docs/pums/accuracy/2009_2013AccuracyPUMS.pdf\n",
"\n",
"Handbook of guidelines for ACS PUMS:\n",
"https://www.census.gov/content/dam/Census/library/publications/2009/acs/ACSPUMS.pdf\n",
"\n",
"Design and Methodology report for details on how Census Bureau designs and reports the survey:\n",
"https://www.census.gov/programs-surveys/acs/methodology/design-and-methodology.html\n",
"\n",
"PDFs above cover: \n",
"ACS uses weights samples '[P]WGTP' to mitigate over/under-representation and to control for agreement with other ACS estimates. The [ACCURACY PDF] describe two ways of calculating the uncertianties associated with estimates (also called \"characteristics\", e.g. total population, total households) from these weighted samples:\n",
"1. Calculate the \"generalized standard error\" of the estimate using \"design factors\" from the survey. This is a single calculation and requires looking up a design factor for the estimate (characteristic). \n",
"2. Calculate the \"direct standard error\" of the estimate using per-sample \"replicate weights\" '[P]WGTP[1-80]'. This is multiple combined calculations but is extensible to many estimates. (Footnote: Controlled estimates like \"total population\" will have 0 direct standard error from replicate weights. Use the generalized standard error for these estimates or calculate them numerically by sampling with replacement.)\n",
"\n",
"TODO: mention sampling stats in stats for hackers"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>st</th>\n",
" <th>state</th>\n",
" <th>characteristic</th>\n",
" <th>pums_est_09_to_13</th>\n",
" <th>pums_se_09_to_13</th>\n",
" <th>pums_moe_09_to_13</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>288</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Total population</td>\n",
" <td>619,371</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>289</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Housing unit population (RELP=0-15)</td>\n",
" <td>579,281</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>290</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>GQ population (RELP=16-17)</td>\n",
" <td>40,090</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>291</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>GQ institutional population (RELP=16)</td>\n",
" <td>7,443</td>\n",
" <td>80</td>\n",
" <td>132</td>\n",
" </tr>\n",
" <tr>\n",
" <th>292</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>GQ noninstitutional population (RELP=17)</td>\n",
" <td>32,647</td>\n",
" <td>80</td>\n",
" <td>132</td>\n",
" </tr>\n",
" <tr>\n",
" <th>293</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Total males (SEX=1)</td>\n",
" <td>292,566</td>\n",
" <td>361</td>\n",
" <td>595</td>\n",
" </tr>\n",
" <tr>\n",
" <th>294</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Total females (SEX=2)</td>\n",
" <td>326,805</td>\n",
" <td>361</td>\n",
" <td>595</td>\n",
" </tr>\n",
" <tr>\n",
" <th>295</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 0-4</td>\n",
" <td>36,530</td>\n",
" <td>253</td>\n",
" <td>417</td>\n",
" </tr>\n",
" <tr>\n",
" <th>296</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 5-9</td>\n",
" <td>27,658</td>\n",
" <td>636</td>\n",
" <td>1046</td>\n",
" </tr>\n",
" <tr>\n",
" <th>297</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 10-14</td>\n",
" <td>24,621</td>\n",
" <td>598</td>\n",
" <td>984</td>\n",
" </tr>\n",
" <tr>\n",
" <th>298</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 15-19</td>\n",
" <td>40,950</td>\n",
" <td>825</td>\n",
" <td>1357</td>\n",
" </tr>\n",
" <tr>\n",
" <th>299</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 20-24</td>\n",
" <td>58,828</td>\n",
" <td>779</td>\n",
" <td>1281</td>\n",
" </tr>\n",
" <tr>\n",
" <th>300</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 25-34</td>\n",
" <td>134,025</td>\n",
" <td>526</td>\n",
" <td>865</td>\n",
" </tr>\n",
" <tr>\n",
" <th>301</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 35-44</td>\n",
" <td>84,310</td>\n",
" <td>534</td>\n",
" <td>878</td>\n",
" </tr>\n",
" <tr>\n",
" <th>302</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 45-54</td>\n",
" <td>75,981</td>\n",
" <td>435</td>\n",
" <td>716</td>\n",
" </tr>\n",
" <tr>\n",
" <th>303</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 55-59</td>\n",
" <td>35,191</td>\n",
" <td>599</td>\n",
" <td>985</td>\n",
" </tr>\n",
" <tr>\n",
" <th>304</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 60-64</td>\n",
" <td>31,070</td>\n",
" <td>590</td>\n",
" <td>970</td>\n",
" </tr>\n",
" <tr>\n",
" <th>305</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 65-74</td>\n",
" <td>38,245</td>\n",
" <td>295</td>\n",
" <td>485</td>\n",
" </tr>\n",
" <tr>\n",
" <th>306</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 75-84</td>\n",
" <td>22,283</td>\n",
" <td>420</td>\n",
" <td>690</td>\n",
" </tr>\n",
" <tr>\n",
" <th>307</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Age 85 and over</td>\n",
" <td>9,679</td>\n",
" <td>377</td>\n",
" <td>619</td>\n",
" </tr>\n",
" <tr>\n",
" <th>308</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Total housing units (TYPE=1)</td>\n",
" <td>298,327</td>\n",
" <td>113</td>\n",
" <td>185</td>\n",
" </tr>\n",
" <tr>\n",
" <th>309</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Total occupied units</td>\n",
" <td>263,650</td>\n",
" <td>965</td>\n",
" <td>1588</td>\n",
" </tr>\n",
" <tr>\n",
" <th>310</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Owner occupied units (TEN in 1,2)</td>\n",
" <td>110,362</td>\n",
" <td>1363</td>\n",
" <td>2242</td>\n",
" </tr>\n",
" <tr>\n",
" <th>311</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Renter occupied units (TEN in 3,4)</td>\n",
" <td>153,288</td>\n",
" <td>1486</td>\n",
" <td>2444</td>\n",
" </tr>\n",
" <tr>\n",
" <th>312</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Owned with a mortgage (TEN=1)</td>\n",
" <td>85,483</td>\n",
" <td>1208</td>\n",
" <td>1988</td>\n",
" </tr>\n",
" <tr>\n",
" <th>313</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Owned free and clear (TEN=2)</td>\n",
" <td>24,879</td>\n",
" <td>565</td>\n",
" <td>929</td>\n",
" </tr>\n",
" <tr>\n",
" <th>314</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Rented for cash (TEN=3)</td>\n",
" <td>149,500</td>\n",
" <td>1511</td>\n",
" <td>2485</td>\n",
" </tr>\n",
" <tr>\n",
" <th>315</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>No cash rent (TEN=4)</td>\n",
" <td>3,788</td>\n",
" <td>262</td>\n",
" <td>431</td>\n",
" </tr>\n",
" <tr>\n",
" <th>316</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>Total vacant units</td>\n",
" <td>34,677</td>\n",
" <td>920</td>\n",
" <td>1514</td>\n",
" </tr>\n",
" <tr>\n",
" <th>317</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>For rent (VACS=1)</td>\n",
" <td>10,686</td>\n",
" <td>618</td>\n",
" <td>1017</td>\n",
" </tr>\n",
" <tr>\n",
" <th>318</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>For sale only (VACS=3)</td>\n",
" <td>2,953</td>\n",
" <td>325</td>\n",
" <td>534</td>\n",
" </tr>\n",
" <tr>\n",
" <th>319</th>\n",
" <td>11</td>\n",
" <td>District of Columbia</td>\n",
" <td>All Other Vacant (VACS in 2,4,5,6,7)</td>\n",
" <td>21,038</td>\n",
" <td>849</td>\n",
" <td>1397</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" st state characteristic \\\n",
"288 11 District of Columbia Total population \n",
"289 11 District of Columbia Housing unit population (RELP=0-15) \n",
"290 11 District of Columbia GQ population (RELP=16-17) \n",
"291 11 District of Columbia GQ institutional population (RELP=16) \n",
"292 11 District of Columbia GQ noninstitutional population (RELP=17) \n",
"293 11 District of Columbia Total males (SEX=1) \n",
"294 11 District of Columbia Total females (SEX=2) \n",
"295 11 District of Columbia Age 0-4 \n",
"296 11 District of Columbia Age 5-9 \n",
"297 11 District of Columbia Age 10-14 \n",
"298 11 District of Columbia Age 15-19 \n",
"299 11 District of Columbia Age 20-24 \n",
"300 11 District of Columbia Age 25-34 \n",
"301 11 District of Columbia Age 35-44 \n",
"302 11 District of Columbia Age 45-54 \n",
"303 11 District of Columbia Age 55-59 \n",
"304 11 District of Columbia Age 60-64 \n",
"305 11 District of Columbia Age 65-74 \n",
"306 11 District of Columbia Age 75-84 \n",
"307 11 District of Columbia Age 85 and over \n",
"308 11 District of Columbia Total housing units (TYPE=1) \n",
"309 11 District of Columbia Total occupied units \n",
"310 11 District of Columbia Owner occupied units (TEN in 1,2) \n",
"311 11 District of Columbia Renter occupied units (TEN in 3,4) \n",
"312 11 District of Columbia Owned with a mortgage (TEN=1) \n",
"313 11 District of Columbia Owned free and clear (TEN=2) \n",
"314 11 District of Columbia Rented for cash (TEN=3) \n",
"315 11 District of Columbia No cash rent (TEN=4) \n",
"316 11 District of Columbia Total vacant units \n",
"317 11 District of Columbia For rent (VACS=1) \n",
"318 11 District of Columbia For sale only (VACS=3) \n",
"319 11 District of Columbia All Other Vacant (VACS in 2,4,5,6,7) \n",
"\n",
" pums_est_09_to_13 pums_se_09_to_13 pums_moe_09_to_13 \n",
"288 619,371 0 0 \n",
"289 579,281 0 0 \n",
"290 40,090 0 0 \n",
"291 7,443 80 132 \n",
"292 32,647 80 132 \n",
"293 292,566 361 595 \n",
"294 326,805 361 595 \n",
"295 36,530 253 417 \n",
"296 27,658 636 1046 \n",
"297 24,621 598 984 \n",
"298 40,950 825 1357 \n",
"299 58,828 779 1281 \n",
"300 134,025 526 865 \n",
"301 84,310 534 878 \n",
"302 75,981 435 716 \n",
"303 35,191 599 985 \n",
"304 31,070 590 970 \n",
"305 38,245 295 485 \n",
"306 22,283 420 690 \n",
"307 9,679 377 619 \n",
"308 298,327 113 185 \n",
"309 263,650 965 1588 \n",
"310 110,362 1363 2242 \n",
"311 153,288 1486 2444 \n",
"312 85,483 1208 1988 \n",
"313 24,879 565 929 \n",
"314 149,500 1511 2485 \n",
"315 3,788 262 431 \n",
"316 34,677 920 1514 \n",
"317 10,686 618 1017 \n",
"318 2,953 325 534 \n",
"319 21,038 849 1397 "
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dfe = pd.read_csv(path_ecsv)\n",
"tfmask = dfe['state'] == 'District of Columbia'\n",
"dfe_dc = dfe.loc[tfmask]\n",
"dfe_dc"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Verify:\n",
"'HOUSING RECORD'\n",
" 'Total housing units (TYPE=1)'\n",
" 'pums_est_09_to_13': (ref, test) = (298327, 298327)\n",
" 'pums_se_09_to_13': (ref, test) = (113, 112.68873058118989)\n",
" 'pums_moe_09_to_13' (ref, test) = (185, 185.37296180605736)\n",
" 'Total occupied units'\n",
" 'pums_est_09_to_13': (ref, test) = (263650, 263650)\n",
" 'pums_se_09_to_13': (ref, test) = (965, 965.0778984102786)\n",
" 'pums_moe_09_to_13' (ref, test) = (1588, 1587.5531428849083)\n",
" 'Owner occupied units (TEN in 1,2)'\n",
" 'pums_est_09_to_13': (ref, test) = (110362, 110362)\n",
" 'pums_se_09_to_13': (ref, test) = (1363, 1363.1910174293257)\n",
" 'pums_moe_09_to_13' (ref, test) = (2242, 2242.449223671241)\n",
" 'Renter occupied units (TEN in 3,4)'\n",
" 'pums_est_09_to_13': (ref, test) = (153288, 153288)\n",
" 'pums_se_09_to_13': (ref, test) = (1486, 1485.6482760061347)\n",
" 'pums_moe_09_to_13' (ref, test) = (2444, 2443.8914140300917)\n",
" 'Owned with a mortgage (TEN=1)'\n",
" 'pums_est_09_to_13': (ref, test) = (85483, 85483)\n",
" 'pums_se_09_to_13': (ref, test) = (1208, 1208.399126944405)\n",
" 'pums_moe_09_to_13' (ref, test) = (1988, 1987.8165638235462)\n",
" 'Owned free and clear (TEN=2)'\n",
" 'pums_est_09_to_13': (ref, test) = (24879, 24879)\n",
" 'pums_se_09_to_13': (ref, test) = (565, 565.0110618386157)\n",
" 'pums_moe_09_to_13' (ref, test) = (929, 929.4431967245227)\n",
" 'Rented for cash (TEN=3)'\n",
" 'pums_est_09_to_13': (ref, test) = (149500, 149500)\n",
" 'pums_se_09_to_13': (ref, test) = (1511, 1510.8262970970554)\n",
" 'pums_moe_09_to_13' (ref, test) = (2485, 2485.309258724656)\n",
" 'No cash rent (TEN=4)'\n",
" 'pums_est_09_to_13': (ref, test) = (3788, 3788)\n",
" 'pums_se_09_to_13': (ref, test) = (262, 262.1715087495207)\n",
" 'pums_moe_09_to_13' (ref, test) = (431, 431.2721318929615)\n",
" 'Total vacant units'\n",
" 'pums_est_09_to_13': (ref, test) = (34677, 34677)\n",
" 'pums_se_09_to_13': (ref, test) = (920, 920.3688391074527)\n",
" 'pums_moe_09_to_13' (ref, test) = (1514, 1514.0067403317596)\n",
" 'For rent (VACS=1)'\n",
" 'pums_est_09_to_13': (ref, test) = (10686, 10686)\n",
" 'pums_se_09_to_13': (ref, test) = (618, 618.3948172486571)\n",
" 'pums_moe_09_to_13' (ref, test) = (1017, 1017.2594743740409)\n",
" 'For sale only (VACS=3)'\n",
" 'pums_est_09_to_13': (ref, test) = (2953, 2953)\n",
" 'pums_se_09_to_13': (ref, test) = (325, 324.77245880770124)\n",
" 'pums_moe_09_to_13' (ref, test) = (534, 534.2506947386686)\n",
" 'All Other Vacant (VACS in 2,4,5,6,7)'\n",
" 'pums_est_09_to_13': (ref, test) = (21038, 21038)\n",
" 'pums_se_09_to_13': (ref, test) = (849, 849.4756618055635)\n",
" 'pums_moe_09_to_13' (ref, test) = (1397, 1397.3874636701519)\n",
"'PERSON RECORD'\n",
" 'Total population'\n",
" 'pums_est_09_to_13': (ref, test) = (619371, 619371)\n",
" 'pums_se_09_to_13': (ref, test) = (0, 0.0)\n",
" 'pums_moe_09_to_13' (ref, test) = (0, 0.0)\n",
" 'Housing unit population (RELP=0-15)'\n",
" 'pums_est_09_to_13': (ref, test) = (579281, 579281)\n",
" 'pums_se_09_to_13': (ref, test) = (0, 0.0)\n",
" 'pums_moe_09_to_13' (ref, test) = (0, 0.0)\n",
" 'GQ population (RELP=16-17)'\n",
" 'pums_est_09_to_13': (ref, test) = (40090, 40090)\n",
" 'pums_se_09_to_13': (ref, test) = (0, 0.0)\n",
" 'pums_moe_09_to_13' (ref, test) = (0, 0.0)\n",
" 'GQ institutional population (RELP=16)'\n",
" 'pums_est_09_to_13': (ref, test) = (7443, 7443)\n",
" 'pums_se_09_to_13': (ref, test) = (80, 80.30971298666184)\n",
" 'pums_moe_09_to_13' (ref, test) = (132, 132.10947786305871)\n",
" 'GQ noninstitutional population (RELP=17)'\n",
" 'pums_est_09_to_13': (ref, test) = (32647, 32647)\n",
" 'pums_se_09_to_13': (ref, test) = (80, 80.30971298666184)\n",
" 'pums_moe_09_to_13' (ref, test) = (132, 132.10947786305871)\n",
" 'Total males (SEX=1)'\n",
" 'pums_est_09_to_13': (ref, test) = (292566, 292566)\n",
" 'pums_se_09_to_13': (ref, test) = (361, 361.4210148843036)\n",
" 'pums_moe_09_to_13' (ref, test) = (595, 594.5375694846794)\n",
" 'Total females (SEX=2)'\n",
" 'pums_est_09_to_13': (ref, test) = (326805, 326805)\n",
" 'pums_se_09_to_13': (ref, test) = (361, 361.4210148843036)\n",
" 'pums_moe_09_to_13' (ref, test) = (595, 594.5375694846794)\n",
" 'Age 0-4'\n",
" 'pums_est_09_to_13': (ref, test) = (36530, 36530)\n",
" 'pums_se_09_to_13': (ref, test) = (253, 253.37699185206222)\n",
" 'pums_moe_09_to_13' (ref, test) = (417, 416.80515159664236)\n",
" 'Age 5-9'\n",
" 'pums_est_09_to_13': (ref, test) = (27658, 27658)\n",
" 'pums_se_09_to_13': (ref, test) = (636, 635.5916141674621)\n",
" 'pums_moe_09_to_13' (ref, test) = (1046, 1045.5482053054752)\n",
" 'Age 10-14'\n",
" 'pums_est_09_to_13': (ref, test) = (24621, 24621)\n",
" 'pums_se_09_to_13': (ref, test) = (598, 598.0936799532328)\n",
" 'pums_moe_09_to_13' (ref, test) = (984, 983.864103523068)\n",
" 'Age 15-19'\n",
" 'pums_est_09_to_13': (ref, test) = (40950, 40950)\n",
" 'pums_se_09_to_13': (ref, test) = (825, 825.0349386541154)\n",
" 'pums_moe_09_to_13' (ref, test) = (1357, 1357.18247408602)\n",
" 'Age 20-24'\n",
" 'pums_est_09_to_13': (ref, test) = (58828, 58828)\n",
" 'pums_se_09_to_13': (ref, test) = (779, 778.715930233869)\n",
" 'pums_moe_09_to_13' (ref, test) = (1281, 1280.9877052347144)\n",
" 'Age 25-34'\n",
" 'pums_est_09_to_13': (ref, test) = (134025, 134025)\n",
" 'pums_se_09_to_13': (ref, test) = (526, 525.9921102069878)\n",
" 'pums_moe_09_to_13' (ref, test) = (865, 865.257021290495)\n",
" 'Age 35-44'\n",
" 'pums_est_09_to_13': (ref, test) = (84310, 84310)\n",
" 'pums_se_09_to_13': (ref, test) = (534, 533.5205244411877)\n",
" 'pums_moe_09_to_13' (ref, test) = (878, 877.6412627057538)\n",
" 'Age 45-54'\n",
" 'pums_est_09_to_13': (ref, test) = (75981, 75981)\n",
" 'pums_se_09_to_13': (ref, test) = (435, 435.0808545546448)\n",
" 'pums_moe_09_to_13' (ref, test) = (716, 715.7080057423907)\n",
" 'Age 55-59'\n",
" 'pums_est_09_to_13': (ref, test) = (35191, 35191)\n",
" 'pums_se_09_to_13': (ref, test) = (599, 598.5786915686191)\n",
" 'pums_moe_09_to_13' (ref, test) = (985, 984.6619476303784)\n",
" 'Age 60-64'\n",
" 'pums_est_09_to_13': (ref, test) = (31070, 31070)\n",
" 'pums_se_09_to_13': (ref, test) = (590, 589.6810154651412)\n",
" 'pums_moe_09_to_13' (ref, test) = (970, 970.0252704401572)\n",
" 'Age 65-74'\n",
" 'pums_est_09_to_13': (ref, test) = (38245, 38245)\n",
" 'pums_se_09_to_13': (ref, test) = (295, 295.0997289053313)\n",
" 'pums_moe_09_to_13' (ref, test) = (485, 485.43905404927)\n",
" 'Age 75-84'\n",
" 'pums_est_09_to_13': (ref, test) = (22283, 22283)\n",
" 'pums_se_09_to_13': (ref, test) = (420, 419.69280432239964)\n",
" 'pums_moe_09_to_13' (ref, test) = (690, 690.3946631103474)\n",
" 'Age 85 and over'\n",
" 'pums_est_09_to_13': (ref, test) = (9679, 9679)\n",
" 'pums_se_09_to_13': (ref, test) = (377, 376.5637396245156)\n",
" 'pums_moe_09_to_13' (ref, test) = (619, 619.4473516823282)\n"
]
}
],
"source": [
"# TODO: Move to dsdemos with tests.\n",
"print(\"Verify:\")\n",
"records_dfs = {\n",
" 'PERSON RECORD': {'dataframe': dfp, 'weight': pwt, 'replicate_weights': pwts},\n",
" 'HOUSING RECORD': {'dataframe': dfh, 'weight': hwt, 'replicate_weights': hwts}}\n",
"tfmask_test_strs = collections.OrderedDict([\n",
" ('PERSON RECORD', collections.OrderedDict([\n",
" ('Total population', \"np.asarray([True]*len(dfp))\"),\n",
" ('Housing unit population (RELP=0-15)',\"np.logical_and(0 <= dfp['RELP'], dfp['RELP'] <= 15)\"),\n",
" ('GQ population (RELP=16-17)', \"np.logical_and(16 <= dfp['RELP'], dfp['RELP'] <= 17)\"),\n",
" ('GQ institutional population (RELP=16)', \"dfp['RELP'] == 16\"),\n",
" ('GQ noninstitutional population (RELP=17)', \"dfp['RELP'] == 17\"),\n",
" ('Total males (SEX=1)', \"dfp['SEX'] == 1\"),\n",
" ('Total females (SEX=2)', \"dfp['SEX'] == 2\"),\n",
" ('Age 0-4', \"np.logical_and(0 <= dfp['AGEP'], dfp['AGEP'] <= 4)\"),\n",
" ('Age 5-9', \"np.logical_and(5 <= dfp['AGEP'], dfp['AGEP'] <= 9)\"),\n",
" ('Age 10-14', \"np.logical_and(10 <= dfp['AGEP'], dfp['AGEP'] <= 14)\"),\n",
" ('Age 15-19', \"np.logical_and(15 <= dfp['AGEP'], dfp['AGEP'] <= 19)\"),\n",
" ('Age 20-24', \"np.logical_and(20 <= dfp['AGEP'], dfp['AGEP'] <= 24)\"),\n",
" ('Age 25-34', \"np.logical_and(25 <= dfp['AGEP'], dfp['AGEP'] <= 34)\"),\n",
" ('Age 35-44', \"np.logical_and(35 <= dfp['AGEP'], dfp['AGEP'] <= 44)\"),\n",
" ('Age 45-54', \"np.logical_and(45 <= dfp['AGEP'], dfp['AGEP'] <= 54)\"),\n",
" ('Age 55-59', \"np.logical_and(55 <= dfp['AGEP'], dfp['AGEP'] <= 59)\"),\n",
" ('Age 60-64', \"np.logical_and(60 <= dfp['AGEP'], dfp['AGEP'] <= 64)\"),\n",
" ('Age 65-74', \"np.logical_and(65 <= dfp['AGEP'], dfp['AGEP'] <= 74)\"),\n",
" ('Age 75-84', \"np.logical_and(75 <= dfp['AGEP'], dfp['AGEP'] <= 84)\"),\n",
" ('Age 85 and over', \"85 <= dfp['AGEP']\")])),\n",
" ('HOUSING RECORD', collections.OrderedDict([\n",
" ('Total housing units (TYPE=1)', \"dfh['TYPE'] == 1\"),\n",
" ('Total occupied units', \"dfh['TEN'].notnull()\"),\n",
" ('Owner occupied units (TEN in 1,2)', \"np.logical_or(dfh['TEN'] == 1, dfh['TEN'] == 2)\"),\n",
" ('Renter occupied units (TEN in 3,4)', \"np.logical_or(dfh['TEN'] == 3, dfh['TEN'] == 4)\"),\n",
" ('Owned with a mortgage (TEN=1)', \"dfh['TEN'] == 1\"),\n",
" ('Owned free and clear (TEN=2)', \"dfh['TEN'] == 2\"),\n",
" ('Rented for cash (TEN=3)', \"dfh['TEN'] == 3\"),\n",
" ('No cash rent (TEN=4)', \"dfh['TEN'] == 4\"),\n",
" ('Total vacant units', \"dfh['TEN'].isnull()\"),\n",
" ('For rent (VACS=1)', \"dfh['VACS'] == 1\"),\n",
" ('For sale only (VACS=3)', \"dfh['VACS'] == 3\"),\n",
" ('All Other Vacant (VACS in 2,4,5,6,7)',\n",
" \"functools.reduce(np.logical_or, (dfh['VACS'] == vacs for vacs in [2,4,5,6,7]))\")]))])\n",
"for record_type in records_dfs:\n",
" print(\"'{rt}'\".format(rt=record_type))\n",
" df = records_dfs[record_type]['dataframe']\n",
" wt = records_dfs[record_type]['weight']\n",
" wts = records_dfs[record_type]['replicate_weights']\n",
" for char in tfmask_test_strs[record_type]:\n",
" print(\" '{char}'\".format(char=char))\n",
" tfmask_ref = dfe_dc['characteristic'] == char \n",
" tfmask_test = eval(tfmask_test_strs[record_type][char])\n",
" # Calculate an estimate ('est', also a \"characteristic\"),\n",
" # a weighted sum, using sample weights '[P]WGTP'.\n",
" col = 'pums_est_09_to_13'\n",
" print(\" '{col}':\".format(col=col), end=' ')\n",
" ref_est = int(dfe_dc.loc[tfmask_ref, col].values[0].replace(',', ''))\n",
" test_est = df.loc[tfmask_test, wt].sum()\n",
" assert ref_est == test_est\n",
" print(\"(ref, test) = {tup}\".format(tup=(ref_est, test_est)))\n",
" # Calculate a direct standard error ('se') using replicate weights '[P]WGTP[1-80]'.\n",
" # http://www2.census.gov/programs-surveys/acs/tech_docs/pums/accuracy/2009_2013AccuracyPUMS.pdf\n",
" # section 7, \"Measuring Sampling Error\"\n",
" col = 'pums_se_09_to_13'\n",
" print(\" '{col}':\".format(col=col), end=' ')\n",
" ref_se = dfe_dc.loc[tfmask_ref, col].values[0]\n",
" test_se = ((4/80)*((df.loc[tfmask_test, wts].sum() - test_est)**2).sum())**0.5\n",
" assert np.isclose(ref_se, test_se, rtol=0, atol=1)\n",
" print(\"(ref, test) = {tup}\".format(tup=(ref_se, test_se)))\n",
" # Calculate a margin of error ('moe') at the 90% confidence level (+/- 1.645 standard errors)\n",
" # http://www2.census.gov/programs-surveys/acs/tech_docs/pums/accuracy/2009_2013AccuracyPUMS.pdf\n",
" # section 7, \"Measuring Sampling Error\"\n",
" col = 'pums_moe_09_to_13'\n",
" print(\" '{col}'\".format(col=col), end=' ')\n",
" ref_moe = dfe_dc.loc[tfmask_ref, col].values[0]\n",
" test_moe = 1.645*test_se\n",
" assert np.isclose(ref_moe, test_moe, rtol=0, atol=1)\n",
" print(\"(ref, test) = {tup}\".format(tup=(ref_moe, test_moe)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## TEST sampling"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/samuel_harrold/anaconda3/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
" warnings.warn(self.msg_depr % (key, alt_key))\n"
]
}
],
"source": [
"import astroML.plotting as astroML_plt\n",
"import seaborn as sns\n",
"sns.set() # Set matplotlib styles with seaborn"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"'PERSON RECORD'\n",
" 'GQ institutional population (RELP=16)'\n",
" 'pums_est_09_to_13': (ref, test) = (7443, 7443)\n",
" 'pums_se_09_to_13': (ref, test) = (80, 80.30971298666184)\n",
" 'pums_moe_09_to_13' (ref, test) = (132, 132.10947786305871)\n"
]
}
],
"source": [
"record_type = 'PERSON RECORD'\n",
"print(\"'{rt}'\".format(rt=record_type))\n",
"df = records_dfs[record_type]['dataframe']\n",
"wt = records_dfs[record_type]['weight']\n",
"wts = records_dfs[record_type]['replicate_weights']\n",
"char = 'GQ institutional population (RELP=16)'\n",
"print(\" '{char}'\".format(char=char))\n",
"tfmask_ref = dfe_dc['characteristic'] == char \n",
"tfmask_test = eval(tfmask_test_strs[record_type][char])\n",
"# Calculate an estimate ('est', also a \"characteristic\"),\n",
"# a weighted sum, using sample weights '[P]WGTP'.\n",
"col = 'pums_est_09_to_13'\n",
"print(\" '{col}':\".format(col=col), end=' ')\n",
"ref_est = int(dfe_dc.loc[tfmask_ref, col].values[0].replace(',', ''))\n",
"test_est = df.loc[tfmask_test, wt].sum()\n",
"assert ref_est == test_est\n",
"print(\"(ref, test) = {tup}\".format(tup=(ref_est, test_est)))\n",
"# Calculate a direct standard error ('se') using replicate weights '[P]WGTP[1-80]'.\n",
"# http://www2.census.gov/programs-surveys/acs/tech_docs/pums/accuracy/2009_2013AccuracyPUMS.pdf\n",
"# section 7, \"Measuring Sampling Error\"\n",
"col = 'pums_se_09_to_13'\n",
"print(\" '{col}':\".format(col=col), end=' ')\n",
"ref_se = dfe_dc.loc[tfmask_ref, col].values[0]\n",
"test_se = ((4/80)*((df.loc[tfmask_test, wts].sum() - test_est)**2).sum())**0.5\n",
"assert np.isclose(ref_se, test_se, rtol=0, atol=1)\n",
"print(\"(ref, test) = {tup}\".format(tup=(ref_se, test_se)))\n",
"# Calculate a margin of error ('moe') at the 90% confidence level (+/- 1.645 standard errors)\n",
"# http://www2.census.gov/programs-surveys/acs/tech_docs/pums/accuracy/2009_2013AccuracyPUMS.pdf\n",
"# section 7, \"Measuring Sampling Error\"\n",
"col = 'pums_moe_09_to_13'\n",
"print(\" '{col}'\".format(col=col), end=' ')\n",
"ref_moe = dfe_dc.loc[tfmask_ref, col].values[0]\n",
"test_moe = 1.645*test_se\n",
"assert np.isclose(ref_moe, test_moe, rtol=0, atol=1)\n",
"print(\"(ref, test) = {tup}\".format(tup=(ref_moe, test_moe)))"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"613\n",
"7443\n"
]
}
],
"source": [
"print(tfmask_test.sum())\n",
"print(ref_est)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Estimate sum from sampling from parent distribution"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"dist = df[['RELP', wt]]\n",
"tfmask = tfmask_test\n",
"pmf = dist[wt]/dist[wt].sum()\n",
"assert np.isclose(np.sum(pmf), 1.0)\n",
"fracs = [0.01, 0.1, 0.2, 0.33, 0.5, 0.67, 0.8, 0.9, 0.99]"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"################################################################################\n",
"sample_with_replacement=True, sample_weighted=True\n",
"0.01 0.1 0.2 0.33 0.5 0.67 0.8 0.9 0.99 \n",
"Elapsed time (sec) = 28.29\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/samuel_harrold/anaconda3/lib/python3.5/site-packages/matplotlib/__init__.py:892: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
" warnings.warn(self.msg_depr % (key, alt_key))\n"
]
},
{
"data": {
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JZGVlsWvXrmbPKz4+nkWLFrFw4UL69u1LUVHRafULaKkT02wwGPjNb37Dc889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\nsCAgIiIisCAgIiIiAP8PEIcZFYLelYoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e9fa16278>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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uxPz58xESEoKUlJQ2z8ve3h7btm3Dli1bEBYWhvz8/Hb102urecx8Ph/vvPMO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\nkS7RwYIq/rvhGCcrdXi6OXPz+MsYc0WkXe2xoGjS1+l0PPDAAyxcuBA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BjBkzmDJlCnPn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"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e9f540940>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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yPPPMMwgNDcWcOXPw559/trsvAAgJCYFEIuG6Ofz9/SEUCpt1/Xh6euKTTz7B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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98cf3588>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"################################################################################\n",
"sample_with_replacement=True, sample_weighted=False\n",
"0.01 0.1 0.2 0.33 0.5 0.67 0.8 0.9 0.99 \n",
"Elapsed time (sec) = 26.59\n"
]
},
{
"data": {
"image/png": 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zAVixYgWPPfYYw4cPZ/369aec7vpU59HUzp+VlcXvfvc7nnjiCSIjI1utO3Xq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\nD68aQgVmG7CSAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98c68e10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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t4q2u71TV5yv63X18fPD5559j27ZtMDMzq/baYcOGYcaMGVi0aBG8vLwwcuRI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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e9add4a90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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27Vqu/K1YLFY69z8/Px9Lly6Ft7c3Bg4cCFtbW0yZMgUAsHz5cqxZswY9e/bE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\nSPvKuyoG8bm24Dt9hbEDXdG1vSViEzO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K9PJztsi7CkjnNjzMC0NCPZBZWI1jlwr4DocQ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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e988832b0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"################################################################################\n",
"sample_with_replacement=False, sample_weighted=True\n",
"0.01 0.1 0.2 0.33 0.5 0.67 0.8 0.9 0.99 \n",
"Elapsed time (sec) = 10.33\n"
]
},
{
"data": {
"image/png": 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xgoSEBKZPnw7AokWLeOKJJ+jXrx8rVqw4afrrk9X58Dh/Tk4Of/jDH3jqqaew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\niIiICMD/B1TYVfSTb6WcAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98d04278>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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X3GfsydeV/e6BgYH49NNPsXnzZlhaWjY4dvTo0UhISMCiRYvg7++PmJgY/PDD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"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98abdac8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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XO+xR/b0zZszA4cOHERoaWmNmemNjqG7WrFkoKipCaGgopk6diiFDhuh8X2Ji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\nW0QAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e9adb7be0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"################################################################################\n",
"sample_with_replacement=False, sample_weighted=False\n",
"0.01 0.1 0.2 0.33 0.5 0.67 0.8 0.9 0.99 \n",
"Elapsed time (sec) = 7.57\n"
]
},
{
"data": {
"image/png": 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39OjRlJWVceedd3Lw4EE6duzIH//4R1JSUli6dCkPP/wwI0aMwOfz0bVr1xOa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\nIgD/H/niVbor9XV6AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98c32a58>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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bt29jypQp8Pb2xiuvvNJk6c6H92/79u0YOXIk3nzzzWb3Y+zYsYiIiEBwcDB8fX3x5ptv\nNrqdpsqYAsC+ffsQFBTEvV5f4KOpsq1bt27F6tWr8Y9//AMeHh6YMmUK0tLSEBERgeHDh2PMmDG4\nePEit3x5eTneeustjBw5EgEBAQgPD+dmV4uMjMTcuXOxefNm+Pj4YNy4cTh//jwAYMuWLbh+/To2\nbNgADw+PRqfDbUxjY2qLi4uxfPly+Pv7w9fXFytWrGiwoAtQN+nNvHnz4OXlxZXCrZecnIzFixfD\n19cXQUFB+P333zWO64MPPsDw4cPh5eWFqVOnIiUlBQBw+vRpTJs2DZ6enhg7diz+85//cO+rn5o3\nMjISAQEB8PX1xf79+xEbG4vQ0FD4+Phg48aN3PL79+/HvHnz8N5778HLywvBwcG4cuVKo3Ht378f\nkydPhq+vL5YvX642fW5DtmzZgg8//BBA3QRMQ4cOxZYtWwAAlZWVGDJkCDd50fXr1zFr1ix4e3sj\nLCxMrfTsw13hKpUKGzduhK+vL8aPH48ffvjhsTka6r8rPDw8sGzZMq7QUH35Xnd3d3h4eCAuLq7Z\n/Tp37hwmTZoEb29vbNy4sVXTDTfk5MmTmDp1Kvf33LZtW6PL7tu3D2PHjoWHhwfGjx+vNoXznj17\nMGnSpGaP126hfYvQdT9NlSeNi4tjN2/eZCqVimVlZbGgoCD2/fffc+91dnZmL774IquoqGDJycls\n0KBBbNGiRSwzM5OVlZWxoKAgFhkZyRirKzXp6urKlTa9evUqGzZsmFp5yfryo/Hx8czf35/FxsYy\nlUrFIiMj2ZgxY5hcLm90P9LT05m3tzdjjLHc3Fw2ZswYrrRleno68/Hx4ZZ1cXHh9vHRsqeM1ZVF\nnTFjBpPJZKykpIRNnjyZ7dmzp8l2rN+/zz77jMnlclZTU9PsfowZM4aFhISwnJwcVlJSwmbPns3F\n8nBpTsaaLmP666+/slGjRrG4uDhuf7Ozs5st2/rll1+yIUOGsL/++osplUr2+uuvs7Fjx7KvvvqK\nKRQKtm/fPjZ27FguhhdffJGtX7+eVVdXs4KCAjZjxgy2d+9extj/Sqnu37+fqVQq9uOPP7KRI0dy\n7503bx7bv3+/WpuFhoYyb29v5u3tzby8vNT+fe+997jlHi1bWq+goID98ccfrKamhpWXl7OXX36Z\nrVq1int9zpw53PH3cFnZmpoaFh0dzRhjrKKigj311FPs8OHDTKVSsfj4eObr68sdl005c+YMmzFj\nBisvL2eMMZacnMzy8/MZY4xdvnyZJScnM8bqSrD6+fmxM2fOMMbqyvI6OzuzDRs2MLlczs6ePcuG\nDBnCVq5cyYqKilhOTg7z8fHhYty3bx9zdXVlP/zwA1MoFOyXX35h3t7erKys7LH9PHHiBJs0aRJL\nS0tjSqWSffnll2zu3LlN7seFCxdYWFgYY4yxa9eusXHjxnFlbS9cuMCefvppxhhj2dnZzMfHh/31\n11+MMcbOnz/PfH19ufKyD8exa9cuFhISwvLy8lhJSQmbP38+c3FxUfvbTJgwgaWnp7Pq6mo2d+5c\n7ti/f/++2rLN7Vd+fj4bNmwYO3nyJFMoFOzrr79mrq6uXCxXr15VO74ePdbqywrv27ePzZ8/v8E2\nunTpEvf3TEhIYD4+Puz8+fOMMcZSUlKYm5sbY4yxkpIS5uXlxTIyMhhjjOXl5bGUlBTGGGPHjh1j\nQUFB7P79+0yhULDw8PBGt9cd0Jm7ljVVntTNzQ1DhgwBj8dDz549MXPmzMfmOF+2bBmMjIzg6OiI\nAQMGYMSIEbCzs4OJiQlGjRqlViKSx+NhzZo1EAqF8Pb2RkBAAI4fP/5YTPv27cPs2bMxePBg8Hg8\nTJs2Dfr6+rh582aj+2Fvbw9jY2Pcvn0bUVFRGDlyJKytrZGamopr166plQRlGvyqX7BgASQSCcRi\nMcaMGaNRqUs+n4+XX34ZQqEQ+vr6Gu3H/PnzYWNjA7FYjBUrVjQ6AUxTZUwPHDiApUuXcoN67O3t\n0aNHD9y6davJsq1AXTfk8OHDwefzMWnSJBQVFWH58uXQ09NDUFAQsrOzUV5ejvz8fJw7dw5vvvkm\nDAwMYGlpiYULF6oNoLKzs8MzzzwDHo+HsLAwyGQyFBQUNNpeR44cwdWrV3H16lVcu3ZN7d933nlH\nbdmwsDB4e3urndVaWlpi3Lhx0NfXh7GxMZYtW9ZoeVuBQICsrCzk5uZCX1+fKypz6tQpODg4YMqU\nKeDxeHB1dUVgYGCjBXMeXWd5eTlSUlLAGIOjoyOsrKwAAL6+vnB0dARQV4I1KChIbZwAj8fDiy++\nCKFQiFGjRkEoFGLq1KkwNzeHjY0NPD09kZCQwC1vbW2NZ599Fnp6eggJCUGvXr1w7ty5x2Lau3cv\nnn/+efTp0wd8Ph8rVqxAbGysWqW3R7m7uyM5ORnl5eW4du0aZs6ciczMTNTU1ODq1atcZcDDhw9z\nUxEDwMiRI+Hi4sL10DzsxIkTWLRoEaRSKcRiMZYtW/bYMs888wzs7e1hYGCASZMmNfkZa2q/zpw5\nw/3d9PT0sGTJElhYWHDv9fb2Vju+Hj3WHi4rfP36dfj4+HDHWnx8PADAz8+P+3sOHDgQkyZNavRY\n4/F4SExMhFwuh1QqRb9+/QDUnbW/8MIL6N27N/T09PDiiy8iOjqaq0XQ3dA1dy1rqDzpunXrYG1t\njbS0NHz00UeIi4tDdXU1lErlY6NC67/MgLpSmQ+XiDQwMFD7cheLxTAwMOAeP1pesl52djYOHz6M\nH374AUBdMlYoFE1+QQF1H+IrV67g/v378PHxgVgsxtWrV3Hjxg3uC0pTD++XSCRSq5jWGEtLSwiF\nwhbtx8MFSOzs7Brdx6bKmObk5HDV4x5Wn8waK9v66H4aGhrCwsKCu95ZP7CooqICubm5UCgUGDly\nJLcuxphacZiGSqlWVlaqbeNJRUZGPnbNvbKyEhs3bsTFixdRVlYGxlijJUnfeOMNhIeHY/r06bC0\ntMSSJUswbdo0ZGdnc1/o9fulVCq5ef+bMmLECMyePRvvvvsucnJyMGHCBLz++uswMjJCTEwMPv/8\ncyQnJ6O2tha1tbVq1fuAx8vMNlV29tFCNY19drKysvD+++9j06ZN3P4IBALk5OQ0Wq3OyMgIrq6u\nuHr1KqKiorB69WrcunUL0dHRuHbtGpYuXQqg7ng+evQod0mo/nhu6K6OR8vJNlRE6OESyI/ub0v2\nKy8vT22ufR6P91jJXE15eno2eM39+vXrCA8PV/t7Tp069bHlxGIxPvnkE+zYsQPr1q2Dt7c33njj\nDdjb2yM7Oxvr16/H+++/z+2DUChETk6O2t++u6Dk3g4eLU/62WefYfPmzXj33Xfh6uqKLVu2QCQS\n4fvvv9f4emRDHi1t+uDBAzg5OT22nK2tLVasWIHnn3++Rev39vbG6dOnkZWVhRUrVsDU1BRHjhzB\nzZs3uet42vToICBN9uPh64ZZWVkNfgFnZ2c3Wca0vuTno5or29oSPXr0gIGBAa5cufJEg50aek9I\nSAiys7PVnmN/D6aaMmUK3n333SbX+c033yA7OxsHDx6EpaUl4uLiMGPGjAaXlUgk3LX+qKgoLF68\nGN7e3rC1tcXw4cOfeKa4BQsWYMGCBSgsLMSqVauwY8cOvPTSS3j11Vfx3HPPYebMmRAKhdiwYUOr\naqE/em02Ozu7wWOlR48eWLNmDSZPntyi9Xt5eeHixYtITEzEoEGD4OXlhXPnziE+Ph5eXl4A6o6z\n6dOnY/369c2uTyqVqh3bj/6dm9LQsdKzZ89G9ysxMVGt+h5jTG3bV69exfPPP//YeuuPtR07dmDo\n0KFNxrR27Vq8+OKLmD59OoRCIdavXw+VStXgsgEBAQgICEBNTQ0+/vhjvPvuu/jmm2/Qo0cPrFu3\nDuPHj29yW90FdctrWVPlSSsqKmBiYgKRSISUlBT89NNPrdoWY0yttOmZM2ca/LDOnDkTe/bs4bqd\nKysrcfbs2Wa/HOvP3GtqariuzQsXLqC4uBiurq4Nvqepkpitpcl+7N69G7m5uSguLsa2bdvUKrPV\na66M6YwZM/Dtt99yXYjp6el48OBBs2VbW0IqlWLEiBHYtGkTysvLwRhDRkZGo12Tj2qonY8ePYro\n6Gi1/2JiYhAdHd1sYgfqjk9DQ0OYmJigqKgIW7dubXTZ48ePcwnSxMQEfD4fenp6CAwMRHJyMo4e\nPQqFQoHa2lrExsYiNTUVQN0grgkTJjS4ztjYWMTGxkKpVMLAwABCoZC7Q6KiogJmZmYQCoW4cePG\nY5dbNLk09DCZTIbdu3dDqVTi2LFjyMzMxFNPPfXYcrNnz8Z///tfbmBfaWmpRj/uvL29ERkZCWdn\nZ/D5fPj4+GDfvn1wcHCAWCwGUFdF8I8//sDFixehUqlQU1ODK1euNNirNXnyZHz//ffIy8tDSUkJ\nvv32W4331dLSEjweT+14mTVrVqP7VX/Z7PTp01AoFNixYweKi4u59/r4+HDHVUPHWnOJHaj7DNb/\nPaOjox+rsFf/98zNzcXZs2dRXV0NgUAAIyMj7kfF7Nmz8Z///Ic7tkpKSlp1stTZ0Zm7ltWXJ713\n7x4EAgHc3d2xYcMGAMC6devwz3/+E19//TVcXV0RHBzMjaQHmi9V+SipVAozMzM89dRTMDIywvvv\nv99geclBgwZhw4YNeP/995Geng4DAwN4enqqdSc3pG/fvjA2NubONExMTGBvbw8rKyu12B7+/2ee\neQarV6+Gj48PfHx8sHXr1ja7DUeT/QgJCcGSJUsgk8kQGBioNmK/3sNlTPl8PqZNm6ZWxnTSpEko\nKSnBq6++iry8PNjZ2eGTTz5Bjx49sG3bNnz00UcIDAxEbW0tHBwcWnRP/8NtsXnzZnz66acIDg5G\nZWUl7O3tuS7b5t67YMECrFu3Dnv27MGUKVPw1ltvPVEMD1u8eDFeffVV+Pr6wtbWFgsXLsTZs2cb\nfF9sbCz3w8Ta2hrr16/num6//vprfPTRR9yZ/cCBA7l7m3NyctTGazysrKwMH330EbKysmBgYIBR\no0Zh0aJFAIB3330XH3/8MdavX8+Nwq+qqmp2nxp7vf66uI+PD2xsbPDll1/C1NT0sWUnTZqE6upq\nrFmzBg8ePIBYLObKxTbF09MTNTU13OUJZ2dnCAQCtWPVzs4O//73v/HJJ59g7dq1EAgEGDx4MN57\n773H4pgzZw7u37+P0NBQiMViPPvss4iOjtZo/42NjbF8+XLMnDkTSqUSO3bsaHK/rKyssGXLFmza\ntAnr1q1DWFiY2nX0tvDee+9h8+bNePvtt+Hv74/JkydDqVQ+tj8qlQoRERF49dVXwefz4ebmxrVP\ncHAwqqur8fLLLyMnJwdisRijRo1q9MdjV6f1ueW///57HDhwAEDdGdCCBQtQUlKCtWvXIisrC716\n9UJ4eDj3QSJP5urVq3j99ddx5swZXYfSYYwdOxYbN26Ev7+/rkMhjVi8eDHeffdd9OnTR2cx7N+/\nH7/88kunvv/6zz//xIcfftitz1SJOq12yyclJeHAgQM4ePAgfv75Z5w5cwbp6emIiIiAv78/fvvt\nN/j6+jZ5TyMhpOvasWOHThN7Z1VVVYXz589DqVQiJycH//73v+laM1Gj1W75lJQUDB06FPr6+gDq\nBpX8/vvvOH36NDfZR1hYGObPn6826QXRjQcPHiAoKEitS69+UMyvv/76xCNkNdXWpTtpykrSXhoa\nVMa0OJUvYwxbtmzB6tWrYWRkhDFjxuCll15q8+2Qzkur3fIpKSl46aWXsHfvXujr62Px4sUYNGgQ\nd/9tPR8fH5rLmhBCCGkjWj1zd3R0xLJly7B48WIYGxtj4MCB3Ejxh9EZFiGEENJ2tH4r3PTp03Ho\n0CHs2rULYrEYDg4OsLKyQn5+PoC6W1A0mWBAy+P+CCGEkC5D67fCFRYWwtLSEtnZ2fjjjz+wb98+\nZGZm4tChQ1i+fDkiIyMRGBjY7Hp4PB5ksjJth9utSaWm1MbtgNpZ+6iNtY/aWPuk0ie/i0zryf3l\nl19GSUkJBAIB1q9fDxMTEyxbtgxr1qzBwYMHYWdnh/DwcG2HQQghhHQbWr/PvS3Rr0Ttol/i7YPa\nWfuojbUXfjbrAAAgAElEQVSP2lj7WnPmTtPPEkIIIV0MJXdCCCGki6HkTgghhHQxlNwJIYSQLoaS\nOyGEENLFUHInhBBCuhhK7oQQQkgXQ8mdEEII6WIouRNCCCFdDCV3QgghpIuh5E4IIYR0MZTcCSGE\nkC6GkjshhBDSxWi95CshpHMqLq/B3tPJAIBZY/vD3MRAxxERQjRFyZ0Q0qCdJ+7gRnIBAOBedgkW\nTXKBc28L8Pk8HUdGCGkOJXdCyGOuJOTi1r1C7rGsuBqf7LkBMxN9+A60ga+rDframoLHo0RPSEdE\nyZ0QwqmqUeCH3xNxKT4H+gI++tiYQmJuCG8Xa8SlFiLqTh5+v5aB369lwNpCBD/XukTfw8pY16ET\nQh7CY4wxXQehKZmsTNchdGlSqSm1cTvoqO2cnFWCiCPxyC+phkMPUywPdYONpZHaMgqlCnGphbiS\nkIuYJBnktSoAQB8bU/j+negtTHV/bb6jtnFXQm2sfVKp6RO/l87cCenmlCoVjl28jyN/pYExhmD/\nPpg60gECvcdvphHo8TGsvwTD+ktQLVfgRlI+LifkIj61EPf/LMP+P5Ph3Nscvq428HS2holIqIM9\nIoRQciekG8svrkLE0QQkZ5bAUmyAZSGucO5todF7DfUF8HOzhZ+bLcoq5Yi6K8OV+BzcSS/GnfRi\n/PB7Igb3s4Kfmw2G9pfAQKin5b0hhNSj5E5IN3UpPgc//H4XVTVKeLtYY8EkZxgbPtmZtqmRPsa4\n22GMux0KSqpx9XYuriTk4kZyPm4k58NAqAcPJwl8XW3g2teywV4BQkjboWvuhEPX0NqHrtu5slqB\nH/64i8vxuTDQ18O88U4YPshWKyPfs/IrcCUhF1cSciArrgYAmIiE8Haxhq+rDfr3MgNfC9vVdRt3\nB9TG2teaa+6U3AmHPqztQ5ftnJRZjO2/JPw9aE6M5VNcYWNh1PwbW4kxhnsPSnElPhdXb+eitLIW\nAGAlNoCPqw38XG3RS2rcZj8w6FjWPmpj7aPkTtoEfVjbhy7aWalS4Ze/0vDLxTQAQLB/X0wZ0Vcn\n3eNKlQp37hfjckIOrt+VoVquBADYSYy5EfdSc1GrtkHHsvZRG2sfJXfSJujD2j7au53ziquw/Zd4\npGSVwkpsgGWhbnCyN2+37TdFXqtEbEoBriTk4mZKARTKulvrHO3E8HO1hZeLNcyM9Vu8XjqWtY/a\nWPs69K1w3333HQ4cOAAejwcnJyd8+OGHqKqqwtq1a5GVlYVevXohPDwcpqZPvhOEkMcxxv4eNJeI\narkSPgOtsWCiM4yecNCcNugL9eDlYg0vF2tUVisQnSjDlYQcJNwvQkpWKX46mYSBfS3g52oDDycp\nRAY0BpgQTWj1zD03Nxdz587F8ePHoa+vjzVr1iAgIADJyckwNzfHsmXLEBERgdLSUrz22mvNro9+\nJWoX/RJvH+3RzpXVtdj1eyKuJOTCUF8P8yY4wd9NO4PmtKGkvAZX7+ThSkIu7mWXAgCEAj6GOlrB\n19UWQxwtIRQ0fmsdHcvaR22sfR36zF2lUqGqqgp8Ph/V1dWwsbHBtm3b8MMPPwAAwsLCMH/+fI2S\nOyGkeYkZdYPmCkqr4dhTjGVT3GDdymvY7c3MxADjvewx3sseeUWVuJKQi8sJuYi6K0PUXRlEBgJ4\nOkvh52oDFypmQ8hjtJrcbWxssHjxYowePRoikQgjRozA8OHDUVBQAIlEAgCQSqUoLCxsZk2EkOYo\nlCoc+SsNxy6lAQCmjOiL0BF9ocfv3PeUW1sYIXSEA0KG90VGXjkuJ9SNuL8Q+wAXYh/AzFgfPgNt\n4OdGxWwIqafV5F5aWopTp07hzz//hKmpKVavXo0jR4489uHT5MMYtWwFlH8PtiHacV+PT23cDrTR\nzkoVQ3llLeyVKrzI58FUJITgKB/3j7bpZjoEr7//UyhUqKlVoaZWCRbPkH8AKOTzYCDUg8hQAErx\n2kXfF9on/Tbiid+r1eR+8eJF2Nvbw9y8bmTuuHHjEBMTAysrK+Tn50MikUAmk8HS0lKj9enRrFZa\nR23cPtqsnRlQLVegrLIWjDEY6AtgaiTsFt3Uenp8GBgAjNWNuq+WK1FTq0RVjQJVNQoI9Pgw1BfA\nwEAPet2gPXSBvi86Lq0m9549e+LmzZuoqamBvr4+Ll++jMGDB8PIyAiHDh3C8uXLERkZicDAwGbX\n5bX9Kxq8oWU0QKZ9tFU7V1bXYudvd3H1dh4M9fUwf6IzvN1s2yDCzqtGrkRMsgwxyQWIvpMHpYqB\nB8DJ3hy+bjbwomI2bYa+Lzo2rd/nvnXrVhw7dgwCgQCurq744IMPUFFRgTVr1uDBgwews7NDeHg4\nxGJxs+uiA0m76MPaPtqine+mF+HrowkoKK1BfzszLAt1bfXEL12JVGqK1PS6+vOXE3KRmFEMANDj\n8zC4nxV8XW0wrL8EBvpUzOZJ0feF9tEkNqRN0Ie1fbSmnesGzaXi2KX7AIApIxwQMrxPpx8019Ye\nbePC0mpcvZ2Hywk5SM8tBwAYCPXg7iSBHxWzeSL0faF9HfpWOEJI28gtqkTEkQSkPiiFxMwQy0Pd\n0L+Xma7D6hQsxYaY5Nsbk3x7I5srZpOLy/F1/7VHMRtC2hOduRMO/RJvHy1tZ8YY/rqVg90nE1Ej\nV8LfzRbzJjjRbG1N0KSNGWNIfVCGywk5uHo7D6UVcgCApdgAvgPr5ri3tzahW+saQd8X2kfd8qRN\n0Ie1fbSknSuqa/H9ibuIupMHkUHdoDk/1+49aE4TLT2WlSoV7qQX40p8Lq4n5qGqpq6YTc+Hitl0\ntomAtI2+L7SPkjtpE/RhbR+atvPd9CJE/JKAorIaDOhlhmUhrpBQgtFIa47lWkVdMZvLCbm4mfxQ\nMZueYvi62sB7oM0TFbPpauj7QvvomjshXYhCqcLhC6n49dJ98Hg8THvKAcH+NGiuvQgFevB0toan\nc10xm5gkGS4n5CIhrRAp2aX46VQSXPtaUjEb0qHRmTvh0C/x9tFUO+cWVmLbkXik5ZRBal43aM7R\njgbNtZQ2juWSCjmu3a4biJfydzEbgR4fQ/tbwc/VBkMcrZosZtPV0PeF9tGZOyGdHGMMF2If4MeT\nSaipVWLEIFvMHU+D5joSM2N9jPOyxzgve+QVV/092j4H1+/KcP2uDIb6fJiK9GFrZYTFQQNhbmKg\n65BJN0bfHIToWHlVLb4/cQfX/652tmKqG3wG2ug6LNIEa3MRQof3RYh/H2TkleNKQi5OXc+ErKQa\nspJq7DmVhBVTB+k6TNKNUXInRIdu36+baa6orAZOvcywLNQNVmaGug6LaIjH46G3jSl625ii4O+J\ncgBwt9URoiuU3AnRAYVShcjz93Dicjp4PB6eHtUPQX59ukXBl65qduAAlFXW4vb9IvqBRnSOht8S\n0s4y88qwcdd1HL+cDqm5CG/O90TI8L6U2Ds5cxMDvDJrKIwNBUhIK0InGqtMuiA6cyeknTDGcO5m\nNvacTkaNXImRg3tgzrgBNGiuC9Hj8zGsvwR/xeUgLacMDj2aL4hFiDbQtwoh7aC8qhbfHb+D6EQZ\njEVCLJk2EN4u1roOi2iBu5MUf8XlIDpRRsmd6Awld0K0LCGtEF8fTUBxuRzO9uZYt9AHUCh0HRbR\nEjcHS+gL+IhJysf0AEddh0O6KUruhGiJQqnCoXP38NuVdPD5PEwP6IfJvn0gtRDR5B9dmIFQD24O\nlohJykdOYSVsLY10HRLphii5E6IFDwoqsO1IPNJzy2FjIcLyKW7URduNeDhJEZOUj5hEGSb79dF1\nOKQbouROSBtijOHsjWzsOZUEuUKFp4bUDZoz1KePWncytL8EfB4P0UmU3Ilu0DcOIW2krFKO747f\nQUxSPowNBVga4govGjTXLZmIhHCyN8Pd9GIUl9fQVLSk3VFyJ6QNxKcW4utjCSgpl8OltzmWhrjC\nUkwTmXRn7k5S3Ekvxo2kfIx2t9N1OKSboUlsCGmFWoUKe04l4bO9N1BeWYsZox3x2mx3SuwE7gMk\nAIDoJJmOIyHdEZ25E/KEsvMrEHEkHul55bCxNMLzU1zR15YGzZE6EjMRetuY4HZaEapqFDRZEWlX\ndLQR0kKMMZyJycKe08moVagwamhPzAkcAAP97lPLm2jGw0mK9NxyxKYUwNeVKv2R9kPd8oS0QGml\nHF8evIVdvydCX8DHS2GDsWiyCyV20iCPAVIAQAx1zZN2RmfuhGgoLrUA3xy9jZIKOQb2scDSEFdY\nmNIoaNI4O6kxpOaGiE0pQK1CBaGAzqdI+6DkTkgzahVKHDhzD39EZUCPz8PMMf0xwccefB5VcSNN\n4/F4cB8gxe/XMnAnvQiD+1npOiTSTWg1uaempmLt2rXg8XhgjCEjIwOrV6/G1KlTsXbtWmRlZaFX\nr14IDw+HqampNkMh5Ilkycqx7UgCMmXlsLU0wvNT3NDHlo5VojkPp7rkHp0oo+RO2o1W+4gcHBzw\n888/IzIyEocOHYJIJML48eMREREBf39//Pbbb/D19cW2bdu0GQYhLcYYw6nrmXj/+yhkysoxelhP\nrF/sTYmdtFh/OzOYGgkRk5QPFdV4J+2k3S4AXbx4Eb1790aPHj1w6tQphIWFAQDCwsJw8uTJ9gqD\nkGaVVsjxxYFY7P4jEQZCPax8ejAWTHKBgZAGzZGW4/N5GNZfgtIKOe5ll+o6HNJNtNs1919//RUh\nISEAgIKCAkgkdRM8SKVSFBYWtlcYhDTp1r0CfHPsNkor5HDta4HngmnQHGk9Dycpzsc+QEyiDP3t\nzHQdDukG2uXMvba2FqdPn8akSZMA1A0yedijjwlpb7UKJX78IxFb9t1ERVUtZo7pj1dmDaPETtqE\na18LGAj1EJ0oA6OuedIO2uXM/dy5c3Bzc4OlpSUAwMrKCvn5+ZBIJJDJZNzzzZFK6XqntnXHNr7/\noBSf/BCN+zll6GVtgn/M80I/LZ9ddcd2bm8drY29Btrgr9hsVKuA3l1k7EZHa2PyP+2S3I8dO8Z1\nyQPA2LFjcejQISxfvhyRkZEIDAzUaD0yWZm2QiSo+6B2pzauHzS3788UKJQqjHG3w8yx/WEg5Gu1\nHbpbO+tCR2xj1z7m+Cs2G6eu3EfI8L66DqfVOmIbdzWt+fGk9W75qqoqXLx4EePHj+eeW7ZsGS5e\nvIiJEyfi8uXLWL58ubbDIERNSYUc4ftj8ePJJBjq6+Hl6YMxf6IzDZojWjPU0Qp6fB6iE2m2OqJ9\nWj9zF4lEuHz5stpz5ubm+O6777S9aULUFJfXYO/pZBSV1SArvxwVVQq4OVjiueCBVG+baJ2RoRAu\nvc0Rn1aEwtJqqhxItIrmQiTdxt7TybiSkIvEjGJUViswO3AA1s4cSomdtBt3p/q55vN1HAnp6ii5\nk27JzcESE7xpClnSvtypkAxpJ5TcSbcx2a8PAEBsJMSSoIE6joZ0RxamBnDoIcbd9GJUVNfqOhzS\nhVFyJ91GRm7dyN5Jvn2oK57ojIeTBEoVQ2xyga5DIV0YJXfSbcSl1s2EOLifZvMqEKIN9V3z0dQ1\nT7SIkjvpFlQqhvjUQliYGqCnxFjX4ZBurKfEGLaWRrh1rwDyWqWuwyFdFCV30i2k5pSivKoWg/tZ\n0XTHROfcnSSQ16qQkFak61BIF0XJnXQLcfeoS550HB7UNU+0jJI76RZu3SuAHp+HgX0ouRPdc+gp\nhpmJPm4k5UOlokIypO1RciddXnlVLVKzS+FoZwYjw3arckxIo/g8HtwHSFFeVYukzGJdh0O6IEru\npMuLSy0AA3XJk47FY4AEAM1WR7TjiZJ7SUlJW8dBiNb873q7lY4jIeR/XPpYQGRANd6JdjSa3OPi\n4jB+/HgMGTIEq1atQmFhIffaokWL2iM2QlpNxRjiUgthZqwPe2sTXYdDCEegx8fgflbIL6lGpqxC\n1+GQLqbR5L5p0ya89dZbOHfuHJycnPDss8/iwYMHAEC/MkmnkZFbjtIKOQb1s6Rb4EiH4/F3IRkq\nA0vaWqPJvbKyEqNHj4a5uTlWrlyJlStXYuHChcjIyKAvSdJp3LpXN8UndcmTjmhwPysI9HiIoeRO\n2lijQ4dramqgVCqhp6cHAAgODoa+vj4WLVoEhULRbgES0hq37hWAxwNc+9JgOtLxiAwEGNjHErfu\nFSC/uAoSc5GuQyJdRKNn7v7+/rhw4YLac+PHj8fbb78NuVyu9cAIaa3K6lqkZJWiX08xTERCXYdD\nSIM8nOpGzUfTqHnShhpN7q+88goCAgIee37MmDG4dOmSVoMipC0kpBVBxRgGO1CXPOm4hvWXgAdQ\n1zxpU412y8+aNQs2NjYIDAzE2LFj0aNHj/aMi5BW4663O1JyJx2XmYkBHO3MkJhZjLJKOUyN9HUd\nEukCGk3ux44dQ1JSEk6dOoVVq1ZBqVRi7NixGDduHFxcXNozRkJajP19C5yJSIg+tqa6DoeQJrk7\nSZCcVYKbyQUYOYROpEjrNTmJzYABA7BixQrs378f//3vf2FpaYlPPvkEEydOxAcffNBeMRLSYlmy\nChSV1WBQP0vw6e4O0sFxhWSoa560EY0n2raxscHcuXMxd+5clJeX49y5c9qMi5BWuZX6d5c8XW8n\nnYCNpRHsJMaITytEjVwJA309XYdEOrlmk3t6ejouXbqEnJwcGBoawsXFBX5+fggKCmqP+Ah5IrdS\n6pK7mwPdAkc6B3cnCY5evI+41EJ4Okt1HQ7p5Brtlr9x4wbmz5+PF154ATdv3oRKpUJRURF++OEH\nTJ48Gf/6179QXV3dnrESopGqGgWSMkvQ19YUYmManEQ6B3fqmidtqNEz9507d+Ktt95qcPBcVVUV\njhw5gqNHj+KZZ57RaoCEtNSd+0VQqhgG0ax0pBPpa2sKC1MDxKbkQ6FUQaBHRTvJk2s0uX/++eeN\nvkkkEmHWrFkabaCsrAxvvfUWkpKSwOfzsWnTJvTt2xdr165FVlYWevXqhfDwcJia0ohm0jZupdYV\nORpCyZ10IjweDx4DpDgVnYmkjGIMpFkVSSto/NMwKioKO3bsaPEENhs3bkRAQACOHz+Ow4cPo1+/\nfoiIiIC/vz9+++03+Pr6Ytu2bS0OnJCGMMYQd68ARgYCOPSkH4ykc3Gn2epIG2k0uYeFhXFlXvfv\n34+33noL6enp2LRpE7755huNVl5eXo6oqChMnz4dACAQCGBqaopTp04hLCyM287Jkydbux+EAABy\nCiuRX1INNwdL6PGpW5N0Lk725jA2FCAmiWq8k9ZptFteoVDA0rKuW2jv3r346aefYGlpicrKSsya\nNQvPPfdcsyvPzMyEhYUF3njjDdy5cweDBg3Cm2++iYKCAkgkdb9QpVKpWq14Qlrj1r26Y2lQP+rS\nJJ2PQI+PIY4SXIrPwf3cMvS1Fes6JNJJNXpqo1AoUFVVBaDujLs+0RsZGWn8i1KhUCAhIQFz585F\nZGQkRCIRIiIiHisZSyVkSVupn3J2EN3fTjoprpBMInXNkyfX6Jn73LlzsXz5cqxcuRJjxozBe++9\nh+DgYJw/fx6urq4ardzW1ha2trYYPHgwAGDChAnYvn07rKyskJ+fD4lEAplMxv1waI5UStdQta0z\nt3G1XIHEjGI49BTDqZ9E1+E0qTO3c2fRWdt4tFiE7b8k4Na9Ajw/faiuw2lSZ23j7qDR5D5//nzY\n2NggPDwcKSkpUCqViIqKQmhoKDZs2KDRyiUSCXr06IHU1FQ4ODjg8uXL6N+/P/r3749Dhw5h+fLl\niIyMRGBgoEbrk8nKNNsr8kSkUtNO3caxKfmoVajg0tu8Q+9HZ2/nzqCzt7FrX0vcSM5HXGIubCyM\ndB1Ogzp7G3cGrfnx1OQMdRMmTMCECROeeOUA8Pbbb+O1116DQqGAvb09PvzwQyiVSqxZswYHDx6E\nnZ0dwsPDW7UNQoD/XW+nW+BIZ+fuJMGN5HzEJOZjkm9vXYdDOiGN55Z/WEpKChwdHTVa1sXFBQcP\nHnzs+e++++5JNk1Io+LuFcBQXw+Odma6DoWQVhnaXwIeD4hOklFyJ0/kie4V0mSkPCHtKa+oErlF\nVXDta0kze5FOT2ykjwG9zJGSWYKSCrmuwyGdUKNn7rt37270TfWj6AnpKOgWONLVeDhJkZhRjBtJ\nMgQMs9N1OKSTaTS5b9q0CaGhoQ3epiaX0y9J0rHU3wJHJV5JV+E+QII9p5IQk5RPyZ20WKPJ3dHR\nEcuWLWvw2vrFixe1GhQhLVGrUOJOehF6SoxhZWao63AIaRNScxHsrU2QkFaIqhoFRAZPNESKdFON\nXpxcunRpo5PVvP7661oLiJCWSswogbxWhUFUu510MR5OUiiUjOuZIkRTjSb3KVOmoH///g2+Fhwc\nrLWACGkprkvekbrkSdfiPqBuMqYYKiRDWkijfp6zZ8/i8uXLAAA/Pz8EBARoNShCWuLWvQLoC/lw\n6mWu61AIaVP21iaQmBlSjXfSYs0eKVu2bMGnn34KMzMzmJmZ4fPPP6dJZ0iHkV9ShQcFlRjY2wJC\nAX3xka6Fx+PBfYAUVTV140oI0VSz34YnTpzA3r17sWLFCqxYsQI//fQTjh8/3h6xEdKsuNT6W+Co\nS550TVRIhjyJZpO7WCyGSCTiHhsYGEAspjKEpGO4lfL39Xa6v510Uf17mcFEJERMkgwqqvFONNTs\nNXd3d3csXboUYWFhAIAjR47A09MTZ8+eBQC6/k50RqFU4fb9IthYiGDdQYtrENJaenw+hvWX4MKt\nB0h9UArHnjS9Mmles8n99u3bAIC9e/dyz8XHxyM+Ph48Ho+SO9GZ5MwSVMuVGDGYuuRJ1+buVJfc\noxNllNyJRppN7rt27WqPOAhpsVup9V3ylNxJ1+bW1xL6Qj5iEvMxY3TDtygT8rAWDS/+6KOPtBUH\nIS12K6UQAj0+nHvTLXCka9MX6mGwgxVyCivxoKBC1+GQTqBFyf3KlSvaioOQFikqq0GmrBwuvc1h\nINTTdTiEaJ07N2pepuNISGfQouTe2HS0hLS3uL+75OkWONJdDO0vAZ/Ho1viiEZalNw//vhjbcVB\nSIvUl3ilW+BId2FsKIRzb3OkPihFUVmNrsMhHVyLkvvJkye1FQchGlOqVEhILYTEzBC2lnQLHOk+\nPJykAIAbSdQ1T5rW6Gj53bt3P/bczp07YWZWdxvGs88+q72oCGnCvexSVNYo4ONqAx6Pp+twCGk3\n7gMk2P1HIqITZRjj0UvX4ZAOrNHkvnHjRowaNQoWFhbcczU1NYiLi2uXwAhpDHXJk+7KUmyIvram\nuJNejMrqWhgZCnUdEumgGk3uO3bswGeffYann34aEyZMAFA3Wv7DDz9st+AIacitewXQ4/Pg0tui\n+YUJ6WLcnaRIyylDbEoB/NxsdR0O6aAavebu6+uLHTt24Pz581i7di0KCwupC5ToXGmFHPdzyuBk\nbw6RgUYViwnpUjz+rvEeTTXeSROa/HY0NjbGhg0bcPbsWSxevBjV1dXtFRchDYrnqsBRlzzpnnpK\njGFtIcKtewWoVSghFNA8D+RxGp36BAQEwMPDA4mJidqOh5Am3br395SzDnR/O+meeDwePJykOHEl\nHQlpRRjaX6LrkEgH1OStcLdu3UJ2djYAIDU1FTdv3sT58+fbJTBCHqVSMcSlFsLC1AB2UmNdh0OI\nzngMqLslLoZuiSONaPTMfevWrTh06BB4PB6ee+457Ny5E35+foiMjERcXBxeeOGF9oyTEKTllKG8\nqhZPDelB4z9It9bPTgyxsT5uJOVDNZGBz6fPA1HXaHI/fvw4jh07hsrKSowbNw6///47pFIpysvL\nMXv2bI2T+9ixY2FiYgI+nw+BQIADBw6gpKQEa9euRVZWFnr16oXw8HCYmpq22U6RrinuHlWBIwQA\n+Dwe3AdIcPZGNpKzSuBkT8WTiLpGu+WFQiFEIhGsrKxgamoKqbSuG8jExAQCgeajlHk8Hnbt2oWf\nf/4ZBw4cAABERETA398fv/32G3x9fbFt27ZW7gbpDm7dKwCfx4NrX7oFjhB36ponTWg0uZuammL3\n7t3Ytm0bzM3N8e2336KwsBA///wzDA0NNd4AYwwqlUrtuVOnTiEsLAwAEBYWRtPakmaVV9Xi3oNS\n9LcT08QdhAAY2McCBvp6iEnMp6Je5DGNJvcNGzbg4sWLiIuLw1dffYXi4mIEBgbi22+/xTvvvKPx\nBng8HpYsWYLp06dj//79AICCggJIJHUjPKVSKQoLC1u5G6SrS0grBGNUBY6QekIBH0P6WSGvuApZ\nMqrxTtQ12r/et29f/Pvf/+Yev/LKK3jllVdavIGffvoJ1tbWKCwsxJIlS+Dg4PDYYChNB0dJpXRd\nXts6ahsnnkwCADzlad9hY2yJrrAPHV13aOPRXva4dicPd7NL4e7Wo9233x3auLPS6OL52bNncfny\nZQCAn58fAgICNN6AtbU1AMDS0hLjxo1DbGwsrKyskJ+fD4lEAplMBktLzSYkkcnKNN4uaTmp1LRD\ntrGKMUTdzoXYWB+m+vwOGWNLdNR27kq6Sxv3kRhDj8/DhZgsBA7r2a7b7i5trEut+fHUbMnXLVu2\n4NNPP4WZmRnMzMzw+eefIzw8XKOVV1VVoaKirruosrISFy5cgJOTE8aOHYtDhw4BACIjIxEYGPjE\nO0C6vozccpRWyDHIwRJ8ugWOEI6RoQAD+1jgfm4ZCkpoBlHyP82euZ84cQKRkZEwMqqrm71gwQKE\nhYVhzZo1za48Pz8fK1euBI/Hg1KpRGhoKEaOHIlBgwZhzZo1OHjwIOzs7DT+sUC6p7hUugWOkMa4\nO0kRl1qI6CQZxnvZ6zoc0kE0m9zFYjFEIhH32MDAAGKxWKOV29vb4/Dhw489b25uju+++07zKEm3\ndiulADwAbg40nzwhj3IfIMGu3+4iJpGSO/mfZpO7u7s7li5dyt26duTIEXh6euLs2bMA0KLr74S0\nVKCV+GUAACAASURBVGW1AslZpXDoKYaJiG6BI+RR5iYGcOwpRmJGCcqraulzQgBokNxv374NANi7\ndy/3XHx8POLj48Hj8Si5E626fb8QKsaoS56QJrg7SZGSXYqbyfkYMbj9R82TjqfZ5L5r1672iIOQ\nBtVXgaMSr4Q0zsNJigNnUhCdKKPkTgA0MVo+Nze32TfLZDTtIdEexhhu3SuEiUgIB1vNxnkQ0h3Z\nWhqhh5UR4lMLUVOr1HU4pANoNLmvXbsW69evR1RUFORyOfd8dnY29u7di9mzZyM6OrpdgiTdU1Z+\nBYrKauDmYElVrwhphoeTFHKFCgmpNOMnaaJbfvfu3Th+/Di2bt2KmJgY6Ovro6amBhKJBOPGjcOn\nn36KXr16tWespJuJu1f3JTWYuuQJaZb7ACmOXbqP6EQZ3J2kug6H6FijyZ3H4yEoKAhBQUFQKBQo\nKiqCoaEhlWYl7ab+erubAw2mI6Q5fXuYwsLUADeS86FUqaDHb3aOMtKFafTXFwgEkEqllNhJu6mW\nK5CYUYw+NqYwM9bXdTiEdHh8Hg/DBkhQUa1AUkaJrsMhOkY/7UiHdOd+MZQqhsGO1CVPiKY8/q7x\nHk013rs9Su6kQ+JugaMueUI05tzbHCIDAWISZVTjvZuj5E46nLpb4AogMhDA0Y5ugSNEUwI9Pob2\nt0JBaQ3Sc8t1HQ7RIY2Se0ZGhtq/hGhTTmEl8kuq4dbXggYFEdJC9V3zMdQ1361p9M25atUqtX8J\n0ab/3QJHXfKEtNSgfpYQ6PERnUjJvTtr0WkRXcMh7eF/U85SciekpQz1BXDra4FMWQXyiip1HQ7R\nEerzJB2KvFaJuxnF6CU1hoWpga7DIaRTqp/EJiYpX8eREF2h5E46lLsZxahVqKhLnpBWGNZfAh6A\nGOqa77YouZMO5VYKdckT0lpiY33072WGpMwSlFbIm38D6XIouZMO5VZqIQz09TCgl5muQyGkU/Nw\nkoIBuJFMXfPdkUbJ3dPTEwDg5eWl1WBI95ZXXIXcwkq49rGAQI9+dxLSGu4DJACoa7670ugb9O23\n31b7lxBtiPt7lDxdbyek9awtjNBLaoz4tCJU1Sh0HQ5pZ3R6RDoM7nq7A80nT0hbcB8ghUKpQjzV\neO92KLmTDqFWocLt9CL0sDKCxFyk63AI6RI8nKiQTHdFyZ10CEmZxZDX0i1whLSl3jYmsBIb4GZy\nARRKla7DIe2IkjvpEP43Kx11yRPSVng8HtwHSFFVo8Dd9GJdh0PakaC5BS5duoRLly4hJycHhoaG\ncHZ2xrhx42BjY9Me8ZFuIu5eIfQFfDjbm+s6FEK6FA8nKU5ez0R0kgxuNJ6l22j0zP3o0aOYNGkS\nduzYAQMDA3h5eWHAgAFISkrCwoULsW7dOshkml3HUalUCAsLw4oVKwAAJSUlWLJkCSZOnIjnnnsO\nZWVlbbM3pFMqLK1GVn4FXPpYQCjQ03U4hHQpA+zNYGwowI2kfKioPki30eiZ+507d/Djjz/C0rLh\nX3oXLlxAdHQ0Jk6c2OxGdu7cCUdHR5SX19UXjoiIgL+/P5YtW4aIiAhs27YNr7322hPuAunsbtEt\ncIRojR6fj2H9JfgrLgf3c8rg0EOs65BIO2j0zP211/6/vTuPaura9wD+TcI8CwmoiIggiIg4UCl1\nQMGKsyBOHdSKt/Ta29para12rn0+fdrqvXrb6u1g7aReRVq1DgUFtYpDxQIKMk8qGMIUhgwk+/1B\nSUVEIhBOEn6ftVyLnJzs88tOzO+cffawus3EDgBjx47VKrGXlpYiKSkJ8+bN02xLSEhAZGQkACAy\nMhLx8fGPEjMxMml/LvFK99sJ0Y3mhWRoGdieo90Odb/88ovminvbtm1YtmwZ0tPTtT7Ahg0bsGbN\nGvB4PM02iUQCobBp9iSRSISKChqD2VM1qtS4UVABZwdLuPSy4jocQoySn4cjzExojfeepN0OdZ99\n9hmmTZuG1NRU/Pbbb1i8eDE++ugj7N27t93CExMTIRQK4evri4sXL7a5372J/2FEIlut9iMd1911\nnJ5bDplChUmP9e5Rn29Peq9coTpuaeRgZySnl0LOgH7OXVM3VMf6q93kbmLStMtvv/2GefPmYebM\nmfjqq6+0Kvzq1as4deoUkpKSIJfLUVdXh9dffx1CoRDl5eUQCoUQi8UPbf6/l1hMHe90SSSy7fY6\nPnu1BADg2af7j80VLuq5p6E6bs3PvReS00uRcLEQ0x5373R5VMe615mTp3ab5Xk8Hn755Rf88ssv\nCA4OBgAolUqtCn/ttdeQmJiIhIQEfPLJJwgKCsLmzZsxceJExMbGAgAOHTqEsLCwDr8BYtjS8yQw\nEfAxuH8vrkMhxKgFeAnB5/FoIZkeot3k/s477+DIkSOYO3cu3NzcUFBQgKCgoE4dNCYmBufPn0d4\neDiSk5MRExPTqfKIYaqqlaPobi183OxhbkZD4AjRJRtLU3i72SP3dg2qauVch0N0jMeY4Qx8pCYg\n3eruZrZzqXfw1S8ZWBjqhcmj+3fbcblGzZm6R3X8YL9eKcaP8dlYHO6DCSNcO1UW1bHu6bRZvqCg\nAE899RRCQ0MBANevX8f27ds7fEBCmv015SyNbyekOzSv8U695o1fu8n9/fffx/Lly2Fr23QG4evr\ni+PHj+s8MGLcVOqmIXBOdubo40RD4AjpDkJ7S7i72CKjsBL1Mlrj3Zi1m9ylUinGjx+vGa7G5/Nh\namqq88CIccu/I0WdrBH+A520HgpJCOm8Ed5CqNRM03JGjFO7yV0gEECpVGp+gMvKysDn02JypHPS\ncqlJnhAujBxEs9X1BO1m6aeffhovvfQSKisrsX37djz99NOIjo7ujtiIEUvPl0DA58HXnYbAEdKd\nXEXWEDlYIDVPAmUjrfFurNqdxCYiIgL9+vXD6dOn0dDQgE2bNiEwMLA7YiNGqqZegYI7Uvj0d4Cl\nebtfQUJIF+LxeBjpLcKJS8XIKKzEME9qPTNGWv2yBgYGUkInXeZ6fgUYqEmeEK6MGNSU3FOyxZTc\njVS7yT0qKuqBHZ4OHDigk4CI8aMlXgnhlperPWytTJGSXY5Fkxn4fOrUamzaTe5vvPGG5m+5XI6j\nR4/C2dlZp0ER46VmDOl5FXCwMUM/kTXX4RDSI/H5PAz3EuJs6h3k3a6BVz97rkMiXazd5D569OgW\nj8eOHYunnnpKZwER41ZYKkVtgxJjh/WhIXCEcGiktwhnU+/garaYkrsReuQxbbW1tSgvL9dFLKQH\noCZ5QvTDkAG9YG4qwNUsMQxoFnKipUe6565Wq1FSUoKlS5fqPDBinNLzKsDn8eA3gIbAEcIlUxMB\n/Ac64spNMW6X18FVZMN1SKQLPdI9d4FAADc3N7rnTjqktkGJ3NvV8HS1h5UFzXJICNdGeotw5aYY\nV7PLKblzqKpWjn2ncgAAC0K94GBj3ukyH/meOyEddaOgAowB/h6OXIdCCAEwzNMJAn7TGu8znxjA\ndTg91r5TObh4o0zz+IVZfp0us83k3tYQuGY0FI48Ks39dhpXS4hesLIwxeD+DrheUImKGhkc7Sy4\nDqlHuiWu7fIy20zu9zbHE9JZ7M8hcHZWpujv0vE1igkhXWuEtwjXCyqRkl2OsFH9uA6nx/n1cjFK\nxHUwM+FjyABHLAj16pJy20zu1BxPulLx3VpU1ykQ7NcbfBoCR4jeGDFIhO9OZuFqlpiSezc788dt\n/JiQDXsbM7z5zEi49Oq65a/bveculUrxn//8BxkZGZDL5Zrte/bs6bIgiPH7awgc3W8nRJ/0sjWH\nRx873CyqQp1MCWvq7NotLlwvxTfHMmFjaYrVC0d0aWIHtBjnvm7dOvD5fBQUFGD+/PkQCAQYNmxY\nlwZBjF96XgV4APyoMx0hemektxBqxvBHDs1h0h1+vynGl0cyYGFuglULhsNV2PWzdbab3AsLC/Hq\nq6/CwsICM2bMwM6dO3HlypUuD4QYrwZ5I3JuVWNAHzvYWplxHQ4h5D4jvZvWeE/JouSua2l5Enz+\nUzpMTfhYOT8A7r110wep3eRuZtb0Y2xqaoqqqiqYmpqioqJCJ8EQ43SjoBIqNaMmeUL0VB8na/R2\ntEJavgQKpYrrcIxWZmEldsSmgc/n4ZW5w+Dlqrtpf9tN7gMGDEBVVRVmzpyJBQsWYN68efDz6/wY\nPNJz0JSzhOi/Ed5CKJRq3Cio5DoUo5R7qxr/PJAKtZrhpTn+GOyu21k62+1Qt2XLFgDA0qVL4e/v\nD6lUinHjxuk0KGI8GGNIz5fA2sIEHn3suA6HENKGkYNEOJZchKtZYgwfJOQ6HKNSWCrFJ/v/gLJR\njeURQ7vlQqfdK/d///vfuHPnDgAgMDAQEydOhIlJu+cEhAAAbkvqUVEjh5+HI60ZTYge8+hrB3sb\nM1zLKYdKreY6HKNxq7wOH++7Bpm8Ectm+GKUj6hbjttucq+trcX8+fPx3HPP4eeff24xHI6Q9qTl\nUpM8IYaAz+NhxCARahuUyCmp5joco1BWWY8te1NQ26DE4ik+CPbr3W3Hbje5v/HGG0hMTMTixYsR\nHx+PiRMn4t1339WqcIVCgXnz5iEiIgIzZ87Ejh07AADV1dWIjo5GeHg4li1bBqlU2rl3QfRWen5T\nch9KQ+AI0Xsj/2yOv0q95jtNUi3Dlh9TUF2rwFNhgxAy3LVbj6/Veu4CgQChoaF46aWXMH78eBw8\neFCrws3MzLBnzx7ExcUhLi4OZ86cQWpqKnbt2oXg4GCcOHECQUFB2LlzZ6feBNFPMkUjsoqr0N/F\nBvZdsMoRIUS3Brv3gqW5ACnZtMZ7Z1TVyrF5bwokNXLMGT8QTz7m1u0xtJvcq6qq8N1332HOnDl4\n+eWXMWDAAMTHx2t9AEtLSwBNV/GNjY0AgISEBERGRgIAIiMjH6k8Yjgyi6rQqGLUJE+IgTAR8DHM\nU4jyahmK73b9YiY9gbRegS17r+FuZQOmB7tjBker7bXbM27KlCl48skn8dZbb2HUqFGPfAC1Wo05\nc+agqKgIzzzzDIYNGwaJRAKhsKn5RyQS0bh5I0VD4AgxPCMGCXHxRhlSsstpkadHVC9T4uN913C7\nvA6TAvthzviBnMXSbnJPTEyEhUXHlwHk8/mIi4tDbW0t/vGPfyA7O7vVUrIPW1qWGCbGGNJyJbA0\nF2BgXxoCR4ih8B/oBBMBD1ezxJg91oPrcAyGTNGIrf/9A0VltRgf0AdPhQ3iNLe1mdxPnjyJyZMn\nt5nYy8vLUVJSguHDh2t1IBsbG4wePRpnz56Fk5MTysvLIRQKIRaL4eioXWcrkYjOInWtq+r4trgW\n5dUyPDGsD/r01t0sTIaKvsu6R3XcccO9nXElowwqPh+9ndqe95zquIlcqcK2L5KRe6sGISP6YeXT\nIyHgeOhvm8n96tWr2LFjB8LDwxEQEAChUAi5XI78/HycPXsW+fn5+PDDDx9aeEVFBUxNTWFrawuZ\nTIbz588jJiYGoaGhiI2NRUxMDA4dOoSwsDCtghWLqVe9LolEtl1Wx4lXigEA3q729LndpyvrmTwY\n1XHn+Lk74EpGGRIuFmJyG53BqI6bNKrU2BGbhtRcCUZ6i/Dsk16okHRNf4XOnDy1mdzffPNNlJWV\n4eDBg/jiiy9QWloKCwsLeHt7Y+rUqQgNDQWf//D+eGKxGG+++SbUajXUajWmTZuGkJAQBAQE4NVX\nX8XBgwfh6uqKbdu2dfgNEP2UntfUj4KGwBFieIZ7CbEHN3E1S9xmcieASq3Gzp+vIzVXgqEDHfHC\nLD8I2smL3eWh99xdXFzw4osv4sUXX+xQ4T4+Pjh06FCr7Q4ODti9e3eHyiT6T6FUIbOoEq4iazja\ndby/BiGEG/Y25vB0tUd2SRVq6hWwo9UcW1Ezhq+OZuD3m2IM7u+AlyL9YWqiH4kdeEhyz8nJeegL\nvby8ujwYYhyyiqugbFTD34N6yRNiqEZ6i5Bzqxp/5JRj3LC+XIejVxhj+O7ETVy4XgbPvnZ4OWoY\nzEwFXIfVQpvJPSYmBjweD4wx3LlzBzY2NuDxeKipqUHfvn1x6tSp7oyTGJBUzRA4apInxFCNGCTE\n/tM5SMmi5H4vxhj2ncpB4rXb6O9sg5XzA2Bprn/rrbQZUXPyXr9+PQIDAzF16lQAwPHjx3HlypXu\niY4YpPS8CpibCuDVz4HrUAghHeTiaAVXoTWuF1RArlDB3Ey/rky5cuhsPk5eLkZfoTVeWzgcVham\nXIf0QO3eILh8+bImsQNNk9pcvnxZp0ERwyWuakBpRT183Xvp1f0nQsijG+EthLJRrVkjoqc7eqEA\nR84XwNnBEqsXDtfrvgjt/voyxlpcqf/+++9Q03KApA3p1CRPiNEY6d20PCktJAPEXynGwaQ8ONqZ\nY/VTw+Gg5+tltHuj4L333sNrr72mmSNeLpdjy5YtOg+MGKa05iFwNOUsIQbP3cUWvWzNkZpbjkaV\nGiaCntkad/aP2/ghPhv21mZ4feEICO0tuQ6pXe0m98DAQMTHxyM/Px8A4OHhATMz/W2KINxRNqqR\nUViJ3o5WEDno/5efEPJwPB4PIweJkHC1BFnFVRgyoOe1yCXfKMXuY5mwsTTF6oXD4eJoxXVIWmn3\nNOyVV16BmZkZfHx84OPjAzMzM7zyyivdERsxMDklVZArVRhKTfKEGI2R3k2LfKX0wKb5q1lifHE4\nAxbmJli1YDhcRTZch6S1dpN7UVFRq215eXk6CYYYtuYm+WHUJE+I0Rjk5gBrCxNc7WFrvKfnSfD5\nT+kwNeFj5fwAuPc2rHn022yW379/P/bt24eCggLMnTtXs10qlcLDg1YKIq2l5UtgasKHtxsNgSPE\nWDSv8X7heikKSqXw6GP8qzzeLKrEjtg08Hg8rJg7DF6uhrf4VZvJfcyYMXB3d8f69euxZs0azXYb\nGxv4+Ph0S3DEcFTUyHBLXAf/gU56N1MTIaRzRno3JfeUbLHRJ/fc29XYdiAVKjXDy1H+8HXvxXVI\nHdJmcnd1dYWrqyuOHDmi2aZQKFBdXQ2BgH68SUvp+c295Ol+OyHGZqiHE0xN+EjJKsec8Z5ch6Mz\nRWVSbN33BxRKFZbPHophnkKuQ+qwdu+5r1y5ElKpFDKZDDNnzsT06dPx5ZdfdkdsxICkaca30/12\nQoyNuZkAfgMccau8DmUV9VyHoxO3y+uwZe81NMgb8bfpQxA42JnrkDql3eSen58PW1tbJCYmIigo\nCElJSYiLi+uO2IiBaFSpcaOgAiIHC7j0oiFwhBijEX/2mr+aLeY4kq53t7Iem/emoLZBiUVTfBA8\ntDfXIXVau8m9sbERQNM0tCEhIbC0tGx3HXfSs+TdrkGDXIWhA53A4/G4DocQogMBXkLweMY3JK6i\nRobNP15Dda0CC8MGYcJwV65D6hLtZmlPT0/87W9/w+nTpxEcHAyZTNYdcREDQk3yhBg/OyszePdz\nQO6talTXyrkOp0tU18qx+ccUSGpkiBw/EJMfc+M6pC7T7gx1mzZtwrlz5+Dj4wMrKyuUlZVh1apV\n3REbMRBpeRKYCHjw7W+YvUoJIdoZ4S3CzeIqpOSUw8vDcDubAUBtgxJb9l1DWWUDpj3ujhnB7lyH\n1KXavXK3sLDApEmT4ObWdEbj4uKC8ePH6zwwYhiqa+UoKquFt5sDLQlJiJEbOcg4ZqurlzXi433X\ncEtch0mj+iEqZKDR3VKkm+ekUzRD4DyoSZ4QYyd0sER/ZxtkFFagXqbkOpwOkStU2PbfP1BYKsW4\nYX2wcNIgo0vsACV30klptMQrIT3KCG8RGlUMv2fe5TqUR6ZsVOFfB1ORc6sajw9xwZIpg8E3wsQO\naHHPnZC2qNUM1/Mr4Ghnjr5Ca67DIYR0Ay/Xphnq/hOXhrkhA2FrbQYBnw8Bn9f0T8ADn8eDQHDP\nNs1z/D+f+2tbd1w1V9XKsTchG1nFVaiqVWDEICGip/uCzzfOxA5QciedkH+nBnWyRozycTbKZi1C\nSGvnUu8AACqlcvznSEany+PzeOD/eVIguC/xC/j8v567f9v9Jw18Hkz4vL+eE/A15aXlSXBH0jT5\njr21Gf4+e6jRr01PyZ10GA2BI6QHuudE3s3ZBoGDnaFSqaFmDCoVg0rd9E+tZlCp1U3b/nxOrf7r\n+Qc/p/7reRWDUqWGSqG+r8ymfx01yM0BpibGndgBSu6kE9LyKiDg8zBkAA2BI6SnWBDqBQAwNzdB\nxJgBcLAx7/YYGGNtnEzcc4Jwz8lEVa0c8VdKYG1pgoVhg7o9Xi5QcicdUlOvQMGdGni7OcDSnL5G\nhPQUDjbmeGGWH0QiW4jFUk5i4PH+bMLX8gLcHbYI8DLscfmPSqe/yqWlpVizZg0kEgn4fD7mzZuH\nxYsXo7q6GitXrsStW7fQr18/bNu2Dba2troMhXSxG/kVYKBV4AghRB/p9MaDQCDA2rVrcfToUezd\nuxfff/89cnNzsWvXLgQHB+PEiRMICgrCzp07dRkG0YG0vKbx7XS/nRBC9I9Ok7tIJIKvry8AwNra\nGp6enigrK0NCQgIiIyMBAJGRkYiPj9dlGKSLqRlDer4E9tZmcHO24TocQggh9+m2LoMlJSXIzMxE\nQEAAJBIJhMKm+x8ikQgVFRXdFQbpAkVlUkjrlRg60JGGwBFCiB7qluReV1eHFStWYN26dbC2tm6V\nEChBGJa0XBoCRwgh+kzn3ZwbGxuxYsUKzJ49G5MmTQIAODk5oby8HEKhEGKxGI6O2nXKEomo052u\naVPHmcXV4POA8YH9YWtl1g1RGR/6Luse1bHuUR3rL50n93Xr1sHLywtLlizRbAsNDUVsbCxiYmJw\n6NAhhIWFaVUWV8MuegpthrbUyZTILKyAZ197yOrkkNUZx7rO3YnLIUQ9BdWx7lEd615nTp502iz/\n+++/4/Dhw0hOTkZERAQiIyNx5swZPP/88zh//jzCw8ORnJyMmJgYXYZButCNgkowRkPgCCFEn+n0\nyn3UqFHIyHjw3MO7d+/W5aGJjtCUs4QQov+Mf4Jd0mUYY0jPk8DG0hTuveleGyGE6CtK7kRrJeI6\nVNUqMHSgo9GugUwIIcaAkjvRGjXJE0KIYaDkTrSWnicBD4CfB3WmI4QQfUbJnWilQd6I7JJqDOhj\nCzsa204IIXqNkjvRSkZhJVRqhqEe1CRPCCH6jpI70Uo63W8nhBCDQcmdtIsxhrQ8CawtTODRl4bA\nEUKIvqPkTtp1R1IPSY0cQwY4QsCnrwwhhOg7+qUm7aIhcIQQYlgouZN2Nd9vp/nkCSHEMFByJw8l\nV6hws7gK/Z1t4GBjznU4hBBCtEDJnTxUZlElGlUMQ6lJnhBCDAYld/JQ6XkVAAB/apInhBCDQcmd\nPFRangQWZgJ4utpzHQohhBAtUXInbSqrrMfdqgYMGeAIEwF9VQghxFDQLzZpU1pu8xA4apInhBBD\nQsmdtCk9v/l+O3WmI4QQQ0LJnTyQslGFzMJKuAqt4WhnwXU4hBBCHgEld/JAN4uroGhU08Q1hBBi\ngCi5kwdqHgJH49sJIcTwUHInD5SWJ4GZKR/e/Ry4DoUQQsgjouROWimvasAdST18+/eCqQl9RQgh\nxNDQLzdpJa25l7wnNckTQoghouROWvlrFThK7oQQYoh0mtzXrVuHJ554AjNnztRsq66uRnR0NMLD\nw7Fs2TJIpVJdhkAeUaNKjRuFlXDpZQlnB0uuwyGEENIBOk3uc+bMwZdfftli265duxAcHIwTJ04g\nKCgIO3fu1GUI5BFll1RDrlDRxDWEEGLAdJrcAwMDYWdn12JbQkICIiMjAQCRkZGIj4/XZQjkEVGT\nPCGEGL5uv+deUVEBoVAIABCJRKioqOjuEMhDpOVJYGrCx+D+NASOEEIMFecd6ng8HtchkD9JqhtQ\nIq6Dj5sDzEwFXIdDCCGkg0y6+4BOTk4oLy+HUCiEWCyGo6P205uKRLY6jIycvFgIAAge1pfqWseo\nfnWP6lj3qI71l86TO2OsxePQ0FDExsYiJiYGhw4dQlhYmNZlicXUs16XrmbeBQAMcLamutYhkciW\n6lfHqI51j+pY9zpz8qTTZvlVq1Zh4cKFyM/Px4QJE3Dw4EHExMTg/PnzCA8PR3JyMmJiYnQZAtGS\nSq3Gtay7ENpboLejFdfhEEII6QSdXrl//PHHD9y+e/duXR6WPKKqWjm+OHwDdbJGBHgJqR8EIYQY\nOM471BHu7U3Ixo3CSgBAeXUDx9EQQgjpLEruPVze7Rqk/Tm2HQDsrMw5jIYQQkhX6Pbe8kQ/yBUq\nHDqbh1+vFIMxwNnBEl79HTB3/ECuQyOEENJJlNx7oOsFFfjmWCbKq2Vw7mWJ56YMxmD3XtT7lRBC\njAQl9x6kTqbEvoQcnEu7Az6Ph6lB/TF7rAdNWEMIIUaGknsPcSXzLr77NQs1dQr0d7bB0mm+cO9N\nE1AQQogxouRu5Cqlcnz/axauZolhIuAjKmQgwkf3h4mA+lISQoixouRupBhjOJt6B/tO5aBB3gjv\nfvZYMnUw+jhZcx0aIYQQHaPkboTKKuvxzbFMZBZVwcJMgEXhPggZ3hd8mpyGEEJ6BEruRkSlVuPX\nyyWIO5sHRaMaAZ5OWBTuA0c7C65DI4QQ0o0ouRuJojIpvj6WicJSKWytTLF0mi9G+zrTVLKEENID\nUXI3cMpGFX7+rQDHLxZBpWYI9uuNpyYNgo2lKdehEUII4QgldwOWVVyF3ccyUVpRDyc7cyyeMhj+\nA524DosQQgjHKLkboAZ5Iw4k5eL01VvgAQgb1Q9zxg+EpTl9nIQQQii5G5w/csqx58RNVErl6ONk\nhaXTfOHlas91WIQQQvQIJXcDUVOvwN74bCTfKIOAz8OsMQMwPXgATE1oMhpCCCEtUXLXc4wxJN8o\nw4/x2ahtUMKjjx2WTh2Mfs42XIdGCCFET1Fy12OSahm+PXkTqbkSmJnysTDUC5MC3cDn0/A2Ylzz\nAAAAFNpJREFUQgghbaPkrofUjOH01Vs4kJQLuUKFIQN6YcmUwRA5WHIdGiGEEANAyV3P3JHU4etj\nmcgpqYaVuQmip/lijH9vmoyGEEKI1ii564lGlRrHkgtx+HwBGlUMgT4iPPOkN+xtzLkOjRBCiIGh\n5K4H8u/U4OtfMlEiroW9jRkWTfbBSG8R12ERQggxUJTcOSRXqhB3Ng8nLxeDMWB8QF/Mn+gJKwua\nOpYQQkjHUXLnSEZBBXYfz4S4SgZnB0ssmToYvu69uA6LEEKIEaDk3s3qZErsP5WDs6l3wOMBU4L6\nY/ZYD5ibCrgOjRBCiJHgLLmfOXMGGzZsAGMMUVFRiImJ4SqUbvP7zbv47mQWqusUcHO2wdJpgzGg\ntx3XYRFCCDEynCR3tVqN9evXY/fu3XB2dsbcuXMRFhYGT09PLsLRuapaOb4/mYXfs8QwEfARFTIQ\n4aP7w0RAU8cSQgjpepwk99TUVLi7u8PV1RUAMH36dCQkJBhdcmeM4VzqHew7lYN6eSMG9bPHc1MH\no4+TNdehEUIIMWKcJPeysjL06dNH89jFxQVpaWlavbaqVo59p3IAAAtCveCgh+PAq2rl+OZ4JvJv\n16CmXgkLMwEWTfZGyAhX8GkyGkIIITpmcB3q9p3KwcUbZQCASzfK9HKedbWagf35t4ONGd5eHAhH\nOwtOYyKEENJzcJLcXVxccPv2bc3jsrIyODs7t/s6kcgW5uZ/hTxuhCtefzZQJzF2xubvruBMyi0A\nwLBBIvh4Gs6ENCKRLdch9AhUz7pHdax7VMf6i8cYY+3v1rVUKhWmTJmC3bt3QyQSYd68efjkk0+M\n7p47IYQQwgVOrtwFAgHeeecdREdHgzGGuXPnUmInhBBCuggnV+6EEEII0R0aaE0IIYQYGUruhBBC\niJGh5E4IIYQYGb1L7mfOnMGUKVMQHh6OXbt2PXCfjz76CJMnT8bs2bORkZHRzREavvbq+PDhw5g1\naxZmzZqFp556Cjdv3uQgSsOmzfcYaJqt0c/PDydPnuzG6IyDNnV88eJFREREYMaMGVi0aFE3R2gc\n2qvn2tpa/P3vf8fs2bMxc+ZMxMbGchCl4Vq3bh2eeOIJzJw5s819OpTzmB5RqVRs0qRJrKSkhCkU\nCjZr1iyWk5PTYp/ExET2/PPPM8YYu3btGps3bx4XoRosbeo4JSWF1dTUMMYYS0pKojp+RNrUcfN+\nixcvZjExMezEiRMcRGq4tKnjmpoaNm3aNFZaWsoYY0wikXARqkHTpp4///xztmXLFsZYUx2PHj2a\nKZVKLsI1SJcvX2Y3btxgM2bMeODzHc15enXlfu+c86amppo55++VkJCAiIgIAEBAQACkUinKy8u5\nCNcgaVPHw4cPh62trebvsrIyLkI1WNrUMQB8++23CA8Ph6OjIwdRGjZt6vjw4cOYPHkyXFxcAIDq\nuQO0qWcej4e6ujoAQF1dHRwcHGBiYnCTn3ImMDAQdnZtrw7a0ZynV8n9QXPO3717t8U+d+/eRe/e\nvVvsQ8lHe9rU8b3++9//Yvz48d0RmtHQpo7LysoQHx+Pp59+urvDMwra1HFBQQGqq6uxaNEiREVF\nIS4urrvDNHja1PMzzzyDnJwcjB07FrNnz8a6deu6O0yj1tGcR6dXpE3JycmIjY3FDz/8wHUoRmfD\nhg14/fXXNY8ZTTfR5VQqFW7cuIFvvvkG9fX1WLhwIUaMGAF3d3euQzMq586dw5AhQ7Bnzx4UFRVh\n6dKl+Pnnn2FtTatfckmvkrs2c847OzujtLRU87i0tFTT7Ebap+28/pmZmXj33XfxxRdfwN7evjtD\nNHja1HF6ejpWrlwJxhgqKytx5swZmJiYICwsrLvDNUja1LGLiwt69eoFc3NzmJubIzAwEJmZmZTc\nH4E29RwbG4uYmBgAQP/+/dGvXz/k5eXB39+/W2M1Vh3NeXrVLO/v74+ioiLcunULCoUCR48ebfVj\nFxYWpmleu3btGuzs7CAUCrkI1yBpU8e3b9/GihUr8H//93/o378/R5EaLm3qOCEhAQkJCTh16hSm\nTJmC9957jxL7I9D2t+L333+HSqVCQ0MDUlNTaZrrR6RNPfft2xcXLlwAAJSXl6OgoABubm5chGuw\nHtZy19Gcp1dX7m3NOb93717weDwsWLAAISEhSEpKwpNPPglLS0v87//+L9dhGxRt6vjTTz9FdXU1\nPvjgAzDGYGJiggMHDnAdusHQpo5J52hTx56enhg7dixmzZoFPp+P+fPnw8vLi+vQDYo29bx8+XKs\nXbtWM5Tr9ddfh4ODA8eRG45Vq1bh4sWLqKqqwoQJE/Dyyy9DqVR2OufR3PKEEEKIkdGrZnlCCCGE\ndB4ld0IIIcTIUHInhBBCjAwld0IIIcTIUHInhBBCjAwld0IIIcTIUHInhBBCjAwld2KwFi1ahKSk\npA6/fuvWrZg6dSqeffbZLovp0KFDKCws1Dw+deoUNm/e3GXld8SlS5cQFRXV6XJkMhmioqIgk8m6\nIKqOW7t2Lb7//vsOv37RokW4detWi20KhQJPPvkkGGMIDQ1FTk5OZ8PExo0bcfLkyQ6/vqs+twfZ\nsmULjhw5opOyiX6g5E56rN27d+OHH37Ad9991+o5tVrdoTJjY2NRUFCgeRwaGtpigRiu8Hi8TpfR\nvESthYVFF0TEneeeew7bt29vse38+fN4/PHHu6SegKY52M+fP4/Jkyd3qpyuiud+0dHR2LFjh07K\nJvpBr6afJYZHJpPhjTfeQG5uLkxMTODh4YGtW7eivLwcr732Gurq6qBQKBASEoLVq1cDAHbs2IG8\nvDzU1taioKAAfn5+iImJwcaNG3Hnzh1MmjQJa9asAdB0leXr64uUlBTU1NRgypQpWLlyZas4amtr\nsXHjRmRlZUEulyMoKAhr165t88fxmWeegUKhwHPPPYexY8ciJCQEH330Efz8/JCZmYlXX30VUqkU\ne/bsQWNjI4CmaTWDg4MBALm5udiwYQPEYjGAph9LtVqN9PR0fPTRR9i2bRvWrFmD0tJSnD59Gv/6\n178AALt27cLhw4cBNM3b/c4778DS0hI7duxAfn4+pFIpiouL4e7ujn/+858wNzfvwk+rSVJSEj7/\n/HMoFAqYmppi7dq1CAgIwKVLl7BhwwYMGzYM165dA5/PxyeffIKBAwcCAPbv3489e/YAaJoL+4MP\nPsClS5dgZmYGKysr/PDDD1CpVIiJiUF1dTXkcjn8/f3x4YcfwsTEBIcOHcKRI0dga2uLmzdvonfv\n3nj77bexadMmFBUVYejQodiyZQuApqtzExMTZGdno6qqCo899hjee++9VuuEK5VKbN26FVeuXIFC\noYCPjw/ef/99WFpaYt++ffjmm29gbm4OtVqNbdu2wcPDAyEhIXjnnXdQX18PKysrAE1z/T9obn+x\nWIz169ejtLQUMpkMM2bM0CySEhoaioiICJw/fx5isRjR0dF45plnAAAHDx5EeHg4gKb/IxMmTMDx\n48c107Ju2rQJNjY2+Mc//oHVq1ejoKAACoUC7u7u2LBhA2xtbVvEcenSJWzatAkHDx584OO4uDhN\n/dva2uL999/HgAEDkJKSgvXr14MxhsbGRixfvhzTpk2Do6Mj+vfvjwsXLmi+08TIMEI64ddff2XL\nli3TPK6pqWGMMSaXy1l9fT1jjDGlUskWL17Mzp49yxhjbPv27Wzy5MmstraWqdVqNmvWLLZs2TKm\nVCpZfX09Cw4OZoWFhYwxxp599lkWHR3N1Go1q6urYzNmzGCJiYma55r/fuutt9hPP/3EGGNMrVaz\n1157je3fv/+hsfv4+LCGhgbGGGMXL15kQ4YMYX/88Yfm+aqqKs3feXl5bPz48YwxxhobG9nkyZPZ\niRMnWu17b0yMMRYbG8tWrFjBGGMsMTGRzZgxg9XV1THGGFuzZg3bsmVLizqRSqWMMcaio6PbjP/l\nl19mERERD/wnl8tb7X/x4kUWFRXFGGOsqKiILViwgNXW1jLGGMvOzmYTJkzQ7Ofn58cyMjIYY4x9\n9tlnbPXq1Ywxxu7cucPGjBmjKfPGjRts6tSpmsfNn/v99bZmzRq2d+9eTV2MHj2alZWVMcYYe+GF\nF1hERASTSqWssbGRzZw5k50/f54xxtibb77JZs2axRoaGphKpWLR0dHsu+++0zzX/Penn37KPvvs\nM83xNm/ezLZu3coYY2zUqFFMLBYzxhhTKBRMJpNp9rv3+6hWq1lYWJim7iZOnMiys7MZY4wtXbqU\nXb58WVPG008/rYlx4sSJbNOmTYwxxkpKStjw4cM13/klS5ZoymeMsbfffpt9++23jLGm78/YsWPZ\n7du3GWOMVVZWavbbunUr+/jjj1t9bvf+ff/jy5cvs5iYGKZQKBhjjCUlJbGFCxcyxhhbvnw5O3r0\nqOZ1zd8vxhjbsWOH5ljE+NCVO+kUHx8f5OXlYf369XjssccwYcIEAE1raW/atAkpKSlgjEEikSAj\nIwNjx44FAIwbN06z3rOPjw98fX1hYmKiufovKirSrEgXGRkJHo8HKysrTJ8+HcnJyQgJCWkRx6lT\np5CWloavvvoKQNPVUu/evduNn92ztIK7uzuGDRumeVxYWIh//vOfKCsrg4mJCSQSCSQSCSorK6FW\nq1s0uWqzLG5ycjKmT5+uuVqcP38+NmzYgFWrVmnqxMbGBgAwbNgwFBcXP7Cc5laAjjh79iyKi4vx\n7LPPat67Wq1GRUUFAMDDwwODBw8GAAQEBCAxMRFA0zKT965E5ebmBpVKhXXr1iEoKAgTJ07UlPXF\nF1/g7NmzUKlUkEqlsLS01LxuxIgRmiVDfX190a9fP817Hjx4MIqKijRXktOmTdPcAoiIiMCvv/6q\nuTJudurUKdTV1eH48eMAmq7km+MPDg7GG2+8gYkTJyIkJKTFSmVCoVCzjOa1a9fg6+sLMzOzFmU3\nNDTg0qVLqKys1NRVfX09cnNzNTFOnz4dAODq6gp7e3uUlpbCw8OjVX1FRETgf/7nf/Dss88iKSkJ\nnp6e6NOnD4CmfhqHDx+GUqmETCbDgAEDHv4h3uf06dO4efMm5s+fD8YYGGOQSqUAgKCgIHz22Wco\nLCzEmDFjWny/RSIRrly58kjHIoaDkjvpFDc3Nxw5cgQXLlxAUlIStm7disOHD+Prr7+GVCrFgQMH\nYGpqinfffRdyuVzzunt/SAUCQYvHfD4fKpXqkWP597//jX79+mm9//1N9s1Jt9mqVauwdu1ahIaG\ngjGGgICAFu+hq91fJ20da8WKFSgqKmq1ncfjYd++fa2S1L0YYxg3bhw2btz4wOfvvQ0gEAg0tyQs\nLCxaxGNjY4MjR47g0qVL+O2337BlyxbExcXh3LlzSElJwY8//ghLS0vs3LmzRR+E+8u//z03H09b\njDG89957CAoKavXc9u3bkZaWhuTkZCxZsgQffPABxo0bB6CpA13ziUN8fPwDm+TVajV4PB4OHjwI\nPv/B3ZPufT/3fm/vr69Ro0ahrq4OWVlZiIuLw5w5cwAAV65cwd69e7Fv3z44ODjgyJEj2L9/f6vj\nCASCFv1A7i2bMYaoqCi8/PLLrV63ZMkShIaG4sKFC1i/fj3GjBmDV199VVOGofefIG2jDnWkU8rK\nysDn8xEWFoa1a9eisrIS1dXVkEqlEIlEMDU1RVlZGRISEjp8jJ9//hkqlQr19fU4duwYHn/88Vb7\nhIaGYteuXZofwMrKSpSUlDy0XNbOgohSqRSurq4AgAMHDkCpVAJouroVCAQ4ceKEZt+qqioATUmv\n+arpfsHBwfjll19QX18PxhgOHDigacl4FP/6178QFxfX6t+hQ4cemtgBYOzYsTh79myL3uBpaWnt\nHtPDwwNisVhTBxUVFWhoaMCYMWOwevVq2NnZobi4GFKpFL169YKlpSWkUmmnemQfP34cMpkMjY2N\n+Omnn9r83L/++mtNsqurq0Nubi5UKhWKi4vh7++P559/HmPGjEFGRobmdbm5ufD19QUAJCYmalqc\n7mVtbY3AwEB8/vnnmm2lpaWQSCTtxu7t7Y38/PwW2yIjI/HVV1/hypUrmvvxUqkUtra2sLe3h0Kh\n0NxDv5+bmxtKSkoglUrBGMPRo0db1EFcXBzKysoANJ2UXL9+HQA0a6vPnz8fixcvbvFZ5+bmwsfH\np933QgwTXbmTTrl58yY+/vhjAE0/Ki+88AJEIhEWLVqEV155BTNnzkTv3r0fqdPO/VfUAwcOxMKF\nC1FTU4OpU6dqmuTv3W/t2rXYvHkzZs+eDaDpimrdunUPvZJvryfyunXr8OKLL8Le3h7jxo3TdIYS\nCAT49NNP8eGHH2LHjh0QCASIjo7GrFmzsGDBAmzcuBFffvmlplNgs/HjxyMrK0uznvvQoUPx97//\nXcta6Rru7u7YvHkz3nrrLcjlciiVSowcORL+/v4PfZ25uTmCgoJw6dIljBkzBqWlpXj77behVquh\nUqkwfvx4DB8+HF5eXkhISMC0adPg5OSEwMDADg+d8/f3x9KlS1FRUYGgoCDMnz+/1T4xMTHYvn07\n5s6dCx6PBz6fj5deeglubm548803IZVKwePx0KdPH02Hzlu3boHH48HT0xO5ublwdHRssf74vd+L\nLVu2YMOGDZg1axYYY7CxscGGDRvg5OTU6vtz7+PJkyfj2LFjiIiI0GybPXs2Jk2ahKioKM0V/7hx\n4/Dzzz8jPDwcjo6OCAwMRGpqaqv36ezsjKVLlyIyMhJCoRCjR4/WnKAFBgZi5cqVWL58OdRqNZRK\nJaZMmQI/Pz98++23uHjxIkxNTWFubo63335bU2ZycjKWL1/+SJ8JMRy0njvRa4sWLcLf/va3VvfY\nSfdLSUnBl19+2S1DqNauXYuhQ4e2usfeFT755BO4u7sjKioKu3btgpmZGZ577rkuPYZarcbcuXOx\na9euFvfe9cW5c+dw+PBhbNq0ietQiI7QlTvRa7oa50se3YgRIzBhwgTIZDKDvlfr4uKimRymeVhb\nV+Pz+fjwww9RUlKil8m9rq5O05JBjBNduROjtnz5ck2vaKDpPnvfvn3x6aefchgVIYToFiV3Qggh\nxMhQb3lCCCHEyFByJ4QQQowMJXdCCCHEyFByJ4QQQowMJXdCCCHEyPw/OeNotZgEjNIAAAAASUVO\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98bb4b38>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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OO+9wr6/uro6IiMDAgQMRGBiIQ4cOKYypoVKu9Tlw4ADmz5/P3Q8ODuamYwWqZkmrPnKo\nLiO7Z88eHDp0CNu3b4eHhwfeeOMN7vV3797F6NGj4enpiXfffbfWLHj1qd6+bdu2YfDgwVixYkWj\n2xEQEICtW7ciNDQU3t7eWLFihcL1bN26FUFBQfDw8EBYWFidCXr27NnDldENCwvjiqE0VKr322+/\nxeLFi/Gf//wHHh4eGD16NJKTk7F161b4+vrC398f0dHR3OuLi4vx/vvvY/DgwfDz88OmTZu4KWAj\nIyMxZcoUfPrpp/Dy8sLw4cNx/vx5AMBXX32Fa9euYe3atfDw8MDHH3/cYFs+S9E43/z8fMydO1dh\n6dyakpOTMXXqVAiFQq4kbbXExETMmjUL3t7eGDVqFP76668mx/Xxxx/D19cXQqEQY8aM4WbdO3Pm\nDMaOHYsBAwYgICAAW7Zs4d6XkpICJycnREZGws/PD97e3ti7dy/i4+Px0ksvwcvLiyuPDFQdgU6d\nOhUfffQRhEIhQkNDERMTozCuvXv3IiQkBN7e3pg7dy5EIlGD2/HVV1/hk08+AVA1KZKbmxu++uor\nAFWzGrq6unITRF27dg2vvPIKPD09ER4eXquAUc0udblcjnXr1sHb2xtBQUHYtWtXnemYq78rPDw8\nMGfOHBQWFgKoKl4FVJ2G8/DwQEJCQqPbde7cOYwcORKenp5Yt25ds6Zars+pU6cwZswY7vOMiIhQ\n+No9e/YgICCAK2l94sQJ7rndu3dj5MiRje6vHV4rVvQjz2iohGlCQgK7efMmk8vlLC0tjY0aNYr9\n9NNP3HsdHR3ZggULWElJCUtMTGQuLi5s5syZ7OnTp1yp0sjISMZYVSlXZ2dntmHDBlZRUcFiY2OZ\nu7s7e/z4MWOs6aVcFUlJSWGenp6MMcbEYjHz9/fnSsempKTUKu9as4xszfVW8/f3ZxMmTGBZWVms\noKCAhYSEsN27dzfYjtXbt3HjRlZRUcEkEkmj2+Hv78/CwsKYSCRiBQUFbNKkSVwsz5a+PX78OPcZ\nHT16lLm7u9e6P3ToUJaQkMBtb3p6eqOlejdv3sxcXV3ZxYsXuVKyAQEB7Pvvv2dSqZTt2bOHBQQE\ncDEsWLCArVq1ipWXl7OcnBw2YcIE9vvvvzPGqkq39u3bl+3du5fJ5XL222+/scGDB3PvnTp1KleG\nttpLL73EPD09maenJxMKhbX+/+ijj7jXOTo61ltWNycnh508eZJJJBJWXFzMFi5cyBYtWsQ9P3ny\nZG7/W7RoEdu2bRtjjDGJRMLi4uIYY4yVlJSwIUOGsIMHDzK5XM5u377NvL29uf2yIVFRUWzChAms\nuLiYMcZYYmIiy87OZowxdvnyZa6U7r1799jAgQNZVFQUY4yxJ0+eMEdHR7Z27VpWUVHBzp49y1xd\nXdlbb73F8vLymEgkYl5eXlyMe/bs4UrsSqVSdujQIebp6cmKiorqbOfx48fZyJEjWXJyMpPJZGzz\n5s11Suo+68KFCyw8PJwxVlXuePjw4Wzy5Mncc+PGjWOMMZaens68vLzYxYsXGWOMnT9/nnl7e7P8\n/Pw6cfzyyy8sLCyMZWZmsoKCAjZt2jTm5ORU67MJDg5mKSkprLy8nE2ZMoXb9588eVLrtY1tV3Z2\nNnN3d2enTp1iUqmUbd++nTk7O3OxxMbG1tq/nt3XqktR79mzh02bNq3eNrp06RL3ed65c4d5eXlx\npYWTkpJY3759GWNV5aGFQiFX0jozM5MlJSUxxhg7cuQIGzVqFHvy5AmTSqVs06ZNCtfX0dGRvgo1\nVMK0b9++cHV1BY/Hg42NDSZOnFhrTnYAmDNnDvT19WFvb49evXph0KBBsLW15UqV1iy/yePx8Pbb\nb0NLSwuenp61pgmtqaFSrop06dIFBgYGuHv3Lq5evYrBgwfD0tISjx8/xpUrVzBgwADutawJRwHT\np0+Hubk5jI2N4e/v36QyohoaGli4cCG0tLSgra3dpO2YNm0aBAIBjI2NMX/+/HpLtQLAiBEjuCpn\nISEh6NatGzcX/r59+/D6669zg4m6dOkCa2vrRkv1AlXdmb6+vlwp2by8PMydOxeampoYNWoU0tPT\nUVxcjOzsbJw7dw4rVqyAjo4OTE1NMWPGjFoDt2xtbTF+/HjweDyEh4cjKysLOTk5Ctvrzz//rFWU\npub/H374Ya3XhoeHw9PTs9ZRsKmpKYYPHw5tbW0YGBhgzpw5dfbPanw+H2lpaRCLxdDW1kb//v0B\nAKdPn0aPHj0wevRo8Hg8ODs7IzAwsNbRmSJ8Ph/FxcVISkoCYwz29vZclT5vb2/Y29sDqCqUNGrU\nqFrjEHg8HhYsWAAtLS0MHToUWlpaGDNmDDp37gyBQIABAwbgzp073OstLS3x6quvQlNTE2FhYbCz\ns8O5c+fqxPT7779j3rx56NatGzQ0NDB//nzEx8fXWw2wWv/+/bnSxFeuXMHEiRPx9OlTSCQSxMbG\nctUCq6c79vX1BQAMHjwYTk5OXI9OTcePH8fMmTNhYWEBY2NjzJkzp85rxo8fjy5dukBHR6feMsZN\n3a6oqCjuc9PU1MTs2bNhYmLCvdfT07PW/vXsvlZdihqo6snw8vLi9rXbt28DqJrGuPrz7NOnD0aO\nHKlwX+PxeHjw4AEqKipgYWHB1cPYvXs33njjDXTt2hWamppYsGAB4uLikJubq3C7Oyo6p69CDZUw\nTU5OxoYNG5CQkIDy8nLIZLI6o1SfLUVas/ymjo5OrS99Y2Nj6OjocPdtbGwUliZVVMq1IZ6enoiJ\nicGTJ0/g5eUFY2NjxMbG1ipz2lQ1t0tPT69W1TlFTE1NoaWl9VzbIRAIuNuKSrUCwB9//IEff/wR\naWlpAICysjLk5eUBqCqp2rVr1zrvqU5yikr1Prudurq6MDEx4c6nVg9oKikpgVgshlQqxeDBg7ll\nMcZqFWSp+dnr6uoCqOoerrmOFxUZGVnnnH5paSnWrVuH6OhoFBUVcaVz67N8+XJs2rQJL7/8MkxN\nTTF79myMHTsW6enp3Bd99XbJZDKMGzeu0ZgGDRqESZMmYfXq1RCJRAgODsayZcugr6+P69ev48sv\nv0RiYiJX/Cg0NLTW+01NTbnburq6de7X3Jaa+wmg+G8nLS0Na9aswfr167nt4fP5EIlE9VYEBKrK\n6Do7OyM2NhZXr17F4sWLcevWLcTFxeHKlSt4/fXXAVTtz4cPH+ZOLVXvz/VdZZKZmVlr36ivcI+F\nhYXC7X2e7crMzKxVDbC6XPWLGDBgQL3n9K9du4ZNmzbV+jzrK5VsbGyMzz//HDt37sR7771XqxhW\neno6Vq1ahTVr1nDboKWlBZFIVOuzVweU9FUsNDQUoaGhKCkpwYcffoiNGzfi008/xerVq+Hs7Iyv\nvvoKenp6+Omnn5p8vrM+hYWFKC8v5xJCRkYGevfuXed11aVc582b91zL9/T0xJkzZ5CWlob58+fD\nyMgIf/75J27evMmdJ1SmZwcfNWU7ap6XTEtLq/eLOT09HStXrsTPP//MHaGOHTuW67GwsrJCSkpK\nnfdVl+ptylFrY6ytraGjo4OYmJgXGmRV33uenZ0O+HcQ1+jRo7F69eoGl7ljxw6kp6dj//79MDU1\nRUJCAiZMmFDva83NzbmxBFevXsWsWbPg6ekJKysr+Pr6YuvWrc+9TUBVj9D06dORm5uLRYsWYefO\nnXjzzTexZMkSvPbaa5g4cSK0tLSwdu3aZtWff/bcb0Nlfd9++22EhIQ81/KFQiGio6Px4MEDuLi4\nQCgU4ty5c7h9+zaEQiGAqv3s5ZdfblKJYAsLi1r79rOfc0Pq21dsbGwUbteDBw9w4cIF7j5jrNa6\nY2NjMW/evDrLrd7Xdu7cCTc3twZjeuedd7BgwQK8/PLL0NLSwqpVq+otYQwAfn5+8PPzg0QiwWef\nfYbVq1djx44dsLa2xnvvvYegoKAG16UOqHtfhRoqYVpSUgJDQ0Po6ekhKSkJ//d//9esdTHG8M03\n36CyshJXr15FVFRUvX/EDZVybUj1kb5EIuG6SC9cuID8/Hw4OzvX+x5zc3OkpqY2a7sUacp2/Prr\nrxCLxcjPz0dERES9pVrLysqgoaEBExMTyOVy7N+/Hw8fPuSenzBhAn744QeuKzIlJQUZGRmNlup9\nHhYWFhg0aBDWr1+P4uJiMMaQmpqqsIvzWfW18+HDhxEXF1fr3/Xr1xEXF9dowgeq9s/q0rl5eXn4\n9ttvFb722LFjXOI0NDSEhoYGNDU1ERgYiMTERBw+fJgrgxsfH4/Hjx8DqBo8FhwcXO8y4+PjER8f\nD5lMBh0dHWhpaXFXbJSUlKBTp07Q0tLCjRs36py2acopppqysrLw66+/QiaT4ciRI3j69CmGDBlS\n53WTJk3Cd999xw0oLCwsbNKPPk9PT0RGRsLR0REaGhrw8vLCnj170KNHDxgbGwMAxowZg5MnTyI6\nOhpyuRwSiQQxMTH19oKFhITgp59+QmZmJgoKCvDDDz80eVtNTU3B4/Fq7S+vvPKKwu2qPv125swZ\nSKVS7Ny5E/n5+dx7vby8uP2qvn2tsYQPVP0NVn+ecXFxOH78eK3nqz9PsViMs2fPory8HHw+H/r6\n+tyPjUmTJmHLli3cvlVQUNCsg6j2jI70Vai6hOmjR4/A5/PRv39/rF27FgDw3nvvYeXKldi+fTuc\nnZ0RGhrKjewHnq+kLFCVODp16oQhQ4ZAX18fa9asQffu3eu8rmYp15SUFOjo6GDAgAG1uqXr0717\ndxgYGHBHJoaGhujSpQvMzMxqxVbz9vjx47nys15eXvj2229b7HKhpmxHWFgYZs+ejaysLAQGBta6\ngqCavb09Zs2ahVdeeQUaGhoYO3YsPDw8uOdHjhyJgoICLFmyBJmZmbC1tcXnn38Oa2trREREYMOG\nDQgMDERlZSV69OjxXHMS1GyLTz/9FF988QVCQ0NRWlqKLl26cF2/jb13+vTpeO+997B7926MHj0a\n77///gvFUNOsWbOwZMkSeHt7w8rKCjNmzMDZs2frfV98fDz3g8XS0hKrVq3iuoC3b9+ODRs2cD0B\nffr04a7NFolEtcaD1FRUVIQNGzYgLS0NOjo6GDp0KGbOnAkAWL16NT777DOsWrWKuyqgrKys0W1S\n9Hz1eXcvLy8IBAJs3rwZRkZGdV47cuRIlJeX4+2330ZGRgaMjY0xePDgWiV46zNgwABIJBLuNIej\noyP4fH6tfdXW1hb/+9//8Pnnn+Odd94Bn89Hv3798NFHH9WJY/LkyXjy5AleeuklGBsb49VXX0Vc\nXFyTtt/AwABz587FxIkTIZPJsHPnzga3y8zMDF999RXWr1+P9957D+Hh4bXO07eEjz76CJ9++ik+\n+OAD+Pj4ICQkBDKZrM72yOVybN26FUuWLIGGhgb69u3LtU9oaCjKy8uxcOFCiEQiGBsbY+jQoQp/\nVHZoyhwluHz5cubj48PCwsLqPLdjxw7m6OjI8vLyuMe+//57FhQUxEaOHMmNziTN9+xodFI1ej86\nOlrVYZAGzJw5kyUnJ6s0hoZGlbcXZ86cYUFBQaoOg7QRSu3eHzduXL0zRYlEIly8eBE2NjbcY0lJ\nSTh27BiOHj2Kbdu24aOPPmrx6z0JIe3Hzp070a1bN1WH0e6UlZXh/PnzkMlkEIlE+N///kfnsglH\nqd37QqGQG/Fc0/r167Fs2bJa3amnT5/GqFGjwOfzYWdnx10W1ZRzPkT5MjIyMGrUqFpdg+yfwThH\njx594RG7TRUREYHvv/++TtekUCh8oYFgNHUnaS31DWZjSpzSmDGGr776CosXL4a+vj78/f3x5ptv\ntvh6SPvU6uf0T58+DWtrazg6OtZ6XCwWw93dnbsvEAjUd8akFubl5YWoqKhmLcPa2rrWvPmtbd68\nec99RUFDTp8+3WLLIh3XhAkTFF6V0FTVg9lai76+Pg4cONBq6yPtS6sm/fLyckRERDzXaFJCCCGE\ntIxWvWQvJSUFaWlpGDNmDAICAiAWizFu3Djk5ORAIBAgIyODe61IJKozKUZ96Lw/IYQQ0jRKP9Kv\nmZR79+6NixcvcvcDAgIQGRmJTp06ISAgAEuXLsXMmTMhFouRkpLSpEs/eDwesrKKlBI7+ZeFhRG1\ns5JRGyuq1gMQAAAgAElEQVQftbHyURu3DgsLoxd6n1KT/pIlSxATE4P8/HwMGzYMCxcuxMsvv8w9\nX12jGwAcHBwQEhKC0NBQ8Pl8rFq1igZbEUIIIS2IxzpA/zj9qlQ++vWufNTGykdtrHzUxq3jRY/0\naRpeQgghRE1Q0ieEEELUBCV9QgghRE1Q0ieEEELUBCV9QgghRE1Q0ieEEELUBCV9QgghRE1Q0ieE\nEELUBCV9QgghRE1Q0ieEEELUBCV9QgghRE1Q0ieEEELUBCV9QgghRE20+yp7V+fMh0wmV3UYHZ6m\npga1s5JRGysftbHyURu3Du8ftr7Q++hInxBCCFET7f5IHwDVbm4FVCNb+aiNlY/aWPmojVuHhYXR\nC72PjvQJIYQQNUFJnxBCCFETlPQJIYQQNUFJnxBCCFETlPQJIYQQNUFJnxBCCFETlPQJIYQQNUFJ\nnxBCCFETlPQJIYQQNUFJnxBCCFETlPQJIYQQNUFJnxBCCFETlPQJIYQQNUFJnxBCCFETlPQJIYQQ\nNUFJnxBCCFETlPQJIYQQNUFJnxBCCFETlPQJIYQQNaHUpL9ixQr4+vripZde4h777LPPEBISgjFj\nxmDhwoUoLi7mnouIiEBwcDBCQkJw4cIFZYZGCCGEqB2lJv1x48Zhx44dtR4bPHgwjhw5goMHD6Jb\nt26IiIgAACQmJuLYsWM4evQotm3bho8++giMMWWGRwghhKgVpSZ9oVAIY2PjWo/5+vpCQ6Nqte7u\n7hCJRACAM2fOYNSoUeDz+bCzs0O3bt0QHx+vzPAIIYQQtaLSc/r79u2Dn58fAEAsFsPa2pp7TiAQ\nQCwWqyo0QgghpMNRWdL/7rvvoKWlhbCwMFWFQAghhKgVvipWeuDAAZw9exY///wz95hAIEBGRgZ3\nXyQSQSAQNGl5FhZGLR4jqYvaWfmojZWP2lj5qI3bLqUn/WcH4507dw47duzArl27oK2tzT0eEBCA\npUuXYubMmRCLxUhJSYGrq2uT1pGVVdSiMZO6LCyMqJ2VjNpY+aiNlY/auHW86A8rpSb9JUuWICYm\nBvn5+Rg2bBgWLlyIiIgIVFZWYvbs2QAANzc3rF69Gg4ODggJCUFoaCj4fD5WrVoFHo+nzPAIIYQQ\ntcJjHeC6OPpVqXz06135qI2Vj9pY+aiNW8eLHunTjHyEEEKImqCkTwghhKgJSvqEEEKImqCkTwgh\nhKgJSvqEEEKImqCkTwghhKgJSvqEEEKImqCkTwghhKgJSvqEEEKImqCkTwghhKgJSvqEEEKImqCk\nTwghhKgJSvqEEEKImlBqaV1CSMeUXyzBbycfQFODh1cCe6GzoY6qQyKENAElfULIc8ktLMf6XdeQ\nWygBADwWFWHK8N7o060ztPiaKo6OENIQSvqEkCaRyuQ4dfUpDl54DEmljHs8M68Mm/behLaWBvp2\nN4Wbgzlc7c3o6J+QNoiSPiGkUfdT8rDrrwdIyy6BoZ4Wxg7ugceiQgCAp5MlktILcTMxG9cfVv0D\ngG5WRnB3MIebgxm6CoygweOpchMIIaCkTwhpQEGxBL//nYjLt8XgARjW3xbjhvaEoZ5WrdcNcLTE\nRH8HiPNKEZ+Yg5tJ2bifko8noiIcvPAYnQy14WZvBjd7czh3N4WONp0GIEQVeIwxpuogmisrq0jV\nIXR4FhZG1M5K1pbaWCaX40xcGv44/whlEhm6Wxlh2ghH9LA2bvIyyiRS3H6ci5uJ2biZlIPiskoA\nAF9TA326mcDNwQyu9mYw76SnrM2ooy21cUdFbdw6LCyMXuh9dKRPCKkl8WkBfvnrPlIzi2Ggy8f0\nEY4Y6mYDDY3n657X0+FD6GQJoZMl5HKGxxmFuJGYjZuJObj1qOofANhZGMDNwRxuDuboaW383Osh\nhDQdHemTJqFf78qn6jYuLK3Avr+TcOFWBgBgsKs1xg+zh7G+douvK6egHPFJVT0Ad5LzIJXJAQBG\n+lpw7WkGNwdz9O1hCj2dlj0uUXUbqwNq49ZBR/qEkBcilzOcvZmOA2eTUFIuRRdLQ0wLdoSDXSel\nrdOsky78Pezg72EHSYUMd57k4uY/YwEuJohwMUEETQ0eenfpDDcHc7g7mMHSRF9p8RCiLijpE6LG\nHmcU4pcT95EsKoKejiamDO8Ffw9baGq03mSdOtqa6N/LAv17WUDOGFLERVU/ABKzcfdJHu4+ycPu\n0w9hbaYPN/uqqwEc7Dq1aoyEdBTUvU+ahLrslK8127i4rBIHzibh7I10MAA+fQWY6O+ATm3s2vr8\nYgnik6p+ANxOzkVFZdVpAH0dPvrZm8HN3gwuPc3qXE2gCO3Hykdt3Dqoe58Q0ig5Y7gQn4F9UUko\nLquErbkBpgb3hmNXE1WHVq/OhjoY6maDoW42qJTKcC8lv+pqgMRsxNwRI+aOGDwe0Mu2EzcY0NpM\nHzyaE4CQetGRPmkS+vWufMpu4yeiIuw6eR9JaYXQ0dbEmEE9MFxoB75m++smZ4whLasEN5OqrgZI\nSitA9ReZRWfdf04DmKN3l87Q4v+7fbQfKx+1cet40SN9SvqkSegPWfmU1cal5ZWIPPcYZ64/BWOA\nVx9LvBLQCyZGbasrvzkKSytwKykHN5NycPtxDsokVdME62hrwqWHKdzsq6YGtu9uRvuxktF3Reug\npE+Uiv6Qla+l25gxhku3RdjzdxIKSypgZaqPV4N7o2930xZbR1sklcnxMDUfN5NycCMxG5l5ZQAA\nHoDeXU3g3N0EbvZm6GJpSKcBlIC+K1oHJX2iVPSHrHwt2cZPs4qx68R9PHhaAG2+Bl4a1B3Bnl1r\ndXWrA8YYRLml3NUAD9MKIJdXfeWZGOlwlwM6dTWBthZNDdwS6LuidVDSJ0pFf8jK1xJtXCaR4uCF\nxzh19SnkjMGjtwUmB/aCWSfdFoqyfdMz0EHUlRTcTMrGraQclJRLAQDafA04dzeFq0NVfYCOdOqj\ntdF3Reug0fuEqDHGGGLvZuL3Mw+RX1wBy856mBLUG672ZqoOrU0x1NeGt7MA3s4CyORyJKUVcrUB\nbiRm40ZiNoD76CYwgptD1cyA3ayoQiDpOOhInzQJ/XpXvhdt44ycEuz66wHuPsmDFl8DoQO7IWRg\nV2jxqbv6WQ21cWZ+GeL/uRzwXko+ZP+cBjA20IarvRncHczh3N0Eutp0rNQQ+q5oHUrp3k9PT4dI\nJIKLiwu0tf+df/vixYsYNGjQC61QGWgHUz76Q1a+521jSYUMh6KTcSI2BTI5g6u9GaYE9YZl59ar\nWtfeNLWNyyRS3Emumho4PikbhaXVFQJ5cOpqUjUngL0ZzKmt66DvitbR4kn/zz//xPr162FhYYHi\n4mJ8+eWX6N+/PwAgPDwckZGRLx5tC6MdTPnoD1n5mtrGjDHEPcjC/51+iNxCCcyMdTElqBfcHcxp\nNHojXmQ/lrOqCoE3E3MQn5iNlMxi7jlbCwNuamB7m05UIRD0XdFaWvyc/o4dO3Dw4EEIBALExMTg\n3Xffxdq1azF48GB0gDMChLRL4rxS/HryARIe5YKvyUOYbzeE+nSHDo08VxoNHg/2Np1gb9MJ44b2\nRG5hOW4m/Vsb4OjlJzh6+QkM9bTQr6cp3BzM4dLDDPq6dBqAtD0K90rGGAQCAQDA29sb27Ztw9y5\nc7Fy5comH02sWLECUVFRMDMzw6FDhwAABQUFeOedd5CWlgY7Ozts2rQJRkZVv1giIiKwf/9+aGpq\n4v3338fgwYObu32EdAgVlbJ/kksKpDI5+nY3wavBjrAypcpzrc3UWBf+/W3h398WkkoZ7j7J46YG\nvnRbjEu3xdDU4KGXXdXUwD1sjPF3XBoA4JUAB3RuY/UNiHpp8KdoYWEhjI2NAQAODg744Ycf8Prr\nr6OgoKBJCx83bhymTZuGZcuWcY9t3boVPj4+mDNnDrZu3YqIiAgsXboUiYmJOHbsGI4ePQqRSIRZ\ns2bhr7/+ou5KovZuJGbjt5MPkF1QDhMjHUwO7IUBjhb0t9EG6Ghpwt3BHO4O5mCMIUVczE0NfC8l\nH/dS8mu9njGG+WNcVBQtIYDCmTqmTZuG+/fv13qse/fu2LlzJ3x9fZu0cKFQyP1oqHb69GmEh4cD\nqBobcOrUKQDAmTNnMGrUKPD5fNjZ2aFbt26Ij49/ro0hpCPJyi/DN/vi8c2+eOQVSRDi3RXr5nhD\n6GRJCb8N4vF46GZlhNGDemDlDCG+emsQZoU41brmv3p2QEJUReGRvqWlJdzc3Oo83qVLF3z99dcv\nvMLc3FyYm5sDACwsLJCbmwsAEIvFcHd3514nEAggFotfeD2EtFeVUjmOxzzB4UtPUCmVw6lrZ7wa\n7AhbcwNVh0aeQydDHQxxs0E/ezP8cuI+rj/MpvFQROUUJv2TJ09i3bp1cHJyQmBgIIYNG4ZOnTq1\neAB0xELIvxIe5WDXyQfIzCtDJwNtvBLiAG9nAf2dtGOdDXWw8GVXbNx9HbeT8yDKLaWxGERlFCb9\njz/+GIwxXL9+HadOncLWrVthZmaGwMBABAYGws7O7oVWaGZmhuzsbJibmyMrKwumplXFPwQCATIy\nMrjXiUQibiBhY1700gXyfKidlScrrwyf/BSL6PgMaGjwMHpoT7w6wgn6ulqqDq3DUdV+PNK3B24n\n5+HGo1xMc2zad1t7Rd8VbVeDA/l4PB48PDzg4eGBZcuWISkpCadPn8aSJUtQXl6OgwcPNrqCZ7uz\nAgICcODAAcydOxeRkZEIDAzkHl+6dClmzpwJsViMlJQUuLq6Nmkj6JpQ5aNrb5VDKpPj5JVU/Hkx\nGZJKGRzsOmFqUG90FRihpKgcJUXlqg6xQ1HlfuxgbQRdbU2cjn2C4AG2HXZqX/quaB2tMve+vb09\n7O3tMXfuXGRlZTX6+iVLliAmJgb5+fkYNmwYFi5ciLlz52Lx4sXYv38/bG1tsWnTJgBVVweEhIQg\nNDQUfD4fq1atoi5N0qHdfZKHXX/dR0ZOKYz0tTB/nCv6de/cYZOButPR0oTQyRIX4jNwPyUffbqZ\nqDokooYanIa3pKQER48exeXLlyESiaCrqwtHR0eMHDmyyUfhrYF+VSof/XpvOfnFEvx+JhExd8Tg\nARjmYYtxQ3uiexdTamMlU/V+fD8lD5/+dh2DXKzwWpizyuJQJlW3sbpo8SP9iIgI7Nu3D4MHD8aQ\nIUNgYWEBiUSCpKQkbNy4EXK5HKtXr4a9vf0LB02IOpHJ5Th9LQ1/nH+E8goZelgbY9qI3uhuZdz4\nm0mH0KtLZ5h30sXV+1l4NVhKxXtIq1O4xxkbG+PYsWPg82u/JCAgAHPmzMGjR48gEoko6RPSBA9S\n87Hrr/t4mlUCA10+Zox0xBA3G+rKVzMaPB58Xazw58VkXLufhUH9rFUdElEzCpP+5MmTG3xjz549\n0bNnzxYPiJCOpKCkAvv+TsTFBBEAYKibNV72s4eRvnYj7yQdlc8/ST86QURJn7S6JvctPXr0CPHx\n8XBycoKTk5MyYyKk3ZPLGf6+noYD5x6hTCJFV4EhpgU7wt625ee6IO2LwEQfDnadcO9JHnILy2Fq\nrKvqkIgaUTgN78KFC7nbZ8+exfTp03HmzBnMmzevSZfqEaKuktILsPanq/j15AMAwKtBvfHhDE9K\n+IQzyMUKDED0Pz1AhLQWhUf6qamp3O3t27dj27Zt6NOnD9LS0vDmm29izJgxrRIgIe1FcVkl9kUl\n4tzNqkmmBrlYYby/AzoZUFc+qc3TSYBfTz5EdIIIoT7d6PJk0moUJv2aO2FhYSH69OkDALC1tVV+\nVIS0I3LGcP5mOvZFJaGkXAo7CwNMDXZE7y6dVR0aaaP0dfnw6G2O2LuZeJRRCHsb6gUirUNh0n/6\n9CkWL14MxhgyMzNRUVEBbe2qIxapVNpqARLSliWLCvHLiQd4nFEIXW1NTApwQKDQDpoaCs+cEQIA\n8HWxRuzdTETfElHSJ61GYdJfsWIFd9vf3x+lpaXQ1taGWCzmps4lRF2VlFfiwLlHiIpLAwPg7SzA\nRH+HWmVUCWlI3x4m6GSgjdi7YkwK7AUtPv1QJMqnMOlX17x/lkAgwDvvvKO0gAhpy+SMIfqWCHuj\nElFUWglrM31MDeqNPt1NVR0aaWc0NTQwsK8AJ2JTcTMxG0InS1WHRNRAg5fsXb16FceOHeOq31lb\nWyMkJARCobBVgiOkLUnNLMYvf91H4tMCaGtpYMIwewR5dgFfk47QyIsZ5GKNE7GpiE4QUdInrUJh\n0t+yZQuOHz+OsWPHckk+IyMDa9aswYgRI/Dmm2+2WpCEqFKZRIo/zj/G6WtPIWcMAxwtMDmwF11f\nTZrNztIQXQWGuPUoB4UlFTCmKz2IkilM+n/88QcOHToEHZ3a5yinTJmCl156iZI+6fAYY4i5I8bv\nZxJRUFIBgYkeXg3qDZeeZqoOjXQgg1ys8X+nHyLmjhhBnl1UHQ7p4BQmfcZYvdeO8ng8NFCYj5AO\nIS27BL/+dR/3UvKhxddA+JAeGOndjQZbkRbn7SzAnr8TcTEhg5I+UTqFSX/s2LGYMGECxo4dCxsb\nGwBAeno6/vjjD4wdO7bVAiSkNZVXSPHnxWScvJIKmZzB3cEck4f3gkVnPVWHRjooYwNt9OtphhuJ\n2XiaWQw7S0NVh0Q6MIVJ/80334S3tzeOHj2KmJgYAICNjQ3ef/99eHl5tVqAhLSG/GIJvvsjAcmi\nIlRK5TDvpIspQb3h7mCu6tCIGvB1scKNxGxcTMjAKwG9VB0O6cAaHL0vFApppD5RC9sP38HDpwUA\nAFtzA6ycIYS2lqaKoyLqws3BHAa6fFy+Lcb4YfY0uRNRmkar7BUXF2PLli24fPkyAGDgwIFYsGAB\nDA2pC4p0HNkF5dxtO0tDSvikVWnxNeDVR4C/r6fh9uM8uNrTYFGiHI3+nFyxYgXy8/PxwQcf4IMP\nPkBhYWGt2foIae/kcobScin4mjx49bHEKwEOqg6JqCHfflYAgOiEDBVHQjqyRo/0Hz58iGPHjnH3\nPTw8EBISotSgCGlND1LzUVxWiWHuNpg+0knV4RA11dPaGFam+oh7kI3S8kro62qpOiTSATV6pG9p\naYnc3Fzufl5eHgQCgVKDIqQ1XbmXCQDwpBnRiArxeDz4ulhBKpNz+yQhLa3RI30TExOMGTMG/v7+\nAICoqCgIhUJ89tlnAIBly5YpN0JClEguZ7j2IAtG+lro3ZVK4RLV8nWxQuS5R7iYIIKfO5UxJy2v\n0aTv4OAAB4d/z3FOnDhRqQER0poepOajsKQCw9xtaMQ0UTlTY104dTPB3Sd5EOeVQmCir+qQSAfT\naNJ/6623WiMOQlSCuvZJW+PrYoW7T/JwKUGEsUN6qjoc0sE816HN1KlTlRUHIa1OLme4dj+TuvZJ\nmzLA0QI6WpqIThBBTlOekxb2XEm/uLhYWXEQ0urup+ajsLQSAxwtqWuftBm62nwIHS2QXVCOh6n5\nqg6HdDDP9U2nrU1lH0nHcbW6a9/RQsWREFKbbz9rAMDFBJGKIyEdzXMl/T179igrDkJaVXXXvjF1\n7ZM2yLFrZ5gZ6+DqvUxIKmWqDod0IE1O+o8ePcIff/yBe/fuKTMeQlpFdde+B3XtkzZIg8eDj4sV\nyitkiHuQpepwSAei8Ntu4cKF3O2zZ89i+vTpOHPmDObNm4eDBw+2SnCEKAuN2idtna9LVRd/9C2a\nlpe0HIWX7KWmpnK3t2/fjm3btqFPnz5IS0vDm2++iTFjxrRKgIS0NJlcjrh/uvYdu1DXPmmbrEz1\nYW9jjDvJecgrksDESEfVIZEOQOGRPo/H424XFhaiT58+AABbW5olirRvD1L+HbWvocFr/A2EqIhv\nP2swAJdu04A+0jIUJv2nT59i8eLFWLRoETIzM1FRUcE9J5VKWyU4QpThyv2qc6RC6tonbZxXH0vw\nNTVw8VYGGF2zT1qAwu79muVz/f39UVpaCm1tbYjFYgQGBrZKcIS0NOraJ+2Jga4W3HuZ4+q9TCSL\nitDD2ljVIZF2TmHSDw8Pr/dxgUCAd955R2kBEaJM1V37/v1tqWuftAu+Lla4ei8T0bdElPRJszU4\n9358fDz+/PNPpKeng8/nw97eHlOmTIGFRfMnM/nxxx+xb98+8Hg89O7dG5988gnKysrwzjvvIC0t\nDXZ2dti0aROMjIyavS5CqlHXPmlvXHqYwlhfCzF3xXgl0AF8TbrElLw4hXvPDz/8gJUrVwKoukbf\nxMQE+fn5GDduHGJjY5u1UrFYjF9++QUHDhzAoUOHIJPJcOTIEWzduhU+Pj44ceIEvL29ERER0az1\nEFKTTC7nJuShrn3SXvA1NTCwrxWKyypxMzFH1eGQdk5h0t+3bx92796NDz74AL/99htSU1OxatUq\nbNu2DRs2bGj2iuVyOcrKyiCVSlFeXg6BQIDTp09zpxXCw8Nx6tSpZq+HkGoPUvJRRKP2STvk62IF\nAIhOoGv2SfMoTPqamprQ09MDABgbGyMnp+oXppOTU62R/C9CIBBg1qxZGDZsGIYOHQojIyP4+voi\nJycH5ubmAAALCwvk5uY2az2E1EQT8pD2qqvACHYWhohPykFRafO+f4l6U5j0nZ2dsXLlSpw4cQLL\nli3DgAEDAAASiQSVlZXNWmlhYSFOnz6Nv//+G+fPn0dZWRn+/PPPWnMDAKhzn5AXJZPLce1BFowN\ntNGbuvZJOzSonxVkcoaYO2JVh0LaMYUD+VatWoWIiAgcOHAAffv2xdy5cwEAlZWV+Prrr5u10ujo\naHTp0gWdO1d9+Q4fPhzXr1+HmZkZsrOzYW5ujqysLJiamjZpeRYWNNivNbTndr75IAtFpZUY5dsd\nAkHbHQHdntu4vWivbRw6xB57o5IQez8Lk0OcVR1Og9prG6sDhUlfX1+/3kvzDA0N4eTk1KyV2tjY\n4ObNm5BIJNDW1sbly5fRr18/6Ovr48CBA5g7dy4iIyObPB9AVlZRs+IhjbOwMGrX7XwqJhkA4NLN\npM1uR3tv4/agvbexSw9TxCfl4MZdEWzNDVQdTr3aexu3Fy/6w6rBS/YAoLi4GFu2bMHly5cBAAMH\nDsSCBQtgaGj4QisEAFdXV4wYMQJjx44Fn8+Hs7MzJk6ciJKSErz99tvYv38/bG1tsWnTphdeByHV\nZHI5rt6nrn3S/vm6WCE+KQfRtzIwwd9B1eGQdojHGpnbcdGiRTA0NMT48eMBAAcOHEBhYSG++eab\nVgmwKehXpfK151/vd5Jz8cXuG/D3sMW0YEdVh6NQe27j9qK9t3GlVIZ3Nl+EtpYGvlgwqE1ehdLe\n27i9UNqR/sOHD3Hs2DHuvoeHB0JCQl5oZYSowtXqUfuONGqftG9afE149bFE1I103HmSC5ceZqoO\nibQzjU7tZGlpWevSuby8PAgEAqUGRUhLoa590tH4ulgDAKJvUeU98vwaPdI3MTHBmDFj4O/vDwCI\nioqCUCjEZ599BgBYtmyZciMkpBnup+SjuKwS/h401z7pGOxtjSEw0UPcgyyUSaTQ02n0a5wQTqN7\ni4ODAxwc/h0wMnHiRKUGREhLqp6Qx4sm5CEdBI/Hg6+LFSLPP8bVe5kY4maj6pBIO9Jo0n/rrbda\nIw5CWlzVXPtVXfu97Khrn3QcPn2rkv7FBBElffJcFJ7T/+uvvxp8Y3Z2Nm7cuNHiARHSUu7907Uv\ndLSgrn3SoZh31oNT1854kJqPrPwyVYdD2hGFR/pxcXH49ttvMWLECLi5ucHc3BwSiQSPHz/G+fPn\n8fjxY6xZs6Y1YyXkuVylufZJB+brYo17KfmIThBhzOAeqg6HtBMKk/5///tfiMVi7N+/H9u3b4dI\nJIKuri569+6NkJAQBAQEQEOD6jqTtom69klHN8DRArtO3kd0QgZGD+pOtUpIkzR4Tl8gEGDBggVY\nsGBBa8VDSIuo7toPoFH7pIPS0+FjQG8LXLotxsOnBXRJKmkSOlQnHRJ17RN14Nvvn2v2EzJUHAlp\nLyjpkw6numu/E3Xtkw6uT1cTmBjp4Mq9TFRUylQdDmkHKOmTDqe6a38AjdonHZyGBg8+fa1QJpHh\n+sNsVYdD2gFK+qTDuXKXuvaJ+hjUzwoAcJG6+EkTNCnpVxfcqVl4h5C2SCaXI+4Bde0T9WFtZoAe\n1sa4/TgXeUUSVYdD2rgmJf2tW7fW+p+Qturek+oJeSypa5+ojUH9rMAYEHNHrOpQSBv3XN37jDFl\nxUFIi6iea1/oZKHiSAhpPV59BNDU4OFiQgZ9T5MG0Tl90mFIZdS1T9SToZ4W3B3MkZZVghRxsarD\nIW0YJX3SYdxPoa59or58aUAfaQJK+qTDuHKv6nwmde0TddSvpxkM9bQQc0cMqUyu6nBIG9WkpE/n\niEhbV9W1n41OhtS1T9QTX1MDA50FKCqtxK1HOaoOh7RRTUr6M2fOrPU/IW0N17Xfm7r2ifoaVD0t\n7y2RiiMhbVWTkv7YsWNr/U9IW1Pdte/ZhybkIeqrq8AQthYGuJGYjeKySlWHQ9ogOqdP2r2aXfsO\ndp1UHQ4hKsPj8eDrYgWZnCH2Ll2zT+qipE/avXspef+O2qea4kTN+fS1Ao8HXKQuflIPSvqk3aMy\nuoT8q7OhDvr2MMXjjEJk5JSoOhzSxlDSJ+2aVPZPGV3q2ieE4+tSdc1+dAId7ZPa+A09mZqain37\n9iEmJgYikQg6OjpwcnLCiBEjEBwcDD6/wbcTonT3UvJQUi5F4AA76ton5B8evSygp6OJ6AQRwof0\npCtaCEdh1v7www9x+/ZtjBw5EkuXLoW5uTkkEgmSkpJw4cIFbN26FatXr4a7u3trxktILVRGl5C6\ntLU04elkiXM3M3A3JQ99u5uqOiTSRihM+sOHD8eaNWvqPO7o6IhRo0YhPz8fqampSg2OkIZwc+1T\n1z4hdfi6WOPczQxE3xJR0icchef0hw4d2uAbO3fujH79+rV4QIQ0VXXXPo3aJ6SuXnadYNFZF9ce\nZE0FaxQAACAASURBVKJMIlV1OKSNaHQg34YNG1BUVASpVIopU6bA3d0dBw8ebI3YCGkQde0ToljV\nNfvWqKisGuxKCNCEpB8dHQ0jIyNcuHABAoEAJ06cwA8//NAasRGiUHXXfmfq2idEIR9uFD9V3iNV\nmnzJ3pUrVxAUFASBQAAedaUSFbv3hLr2CWmMZWc99LbrhHsp+cguKFN1OKQNaDTpm5mZYdWqVTh2\n7BgGDRoEqVQKmUzWGrERotCVfybkEVLXPiEN8v2nCM8lumafoAlJf+PGjejRowe+/PJLdOrUCSKR\nCLNmzWqN2AipF3XtE9J0nk6W0OZrIDpBRGXSSeNJ39TUFOPHj4eWlhYAwM7ODuPGjWv2iouKirBo\n0SKEhIQgNDQUN2/eREFBAWbPno0RI0bgtddeQ1FRUbPXQzoe6tonpOn0dPjw6G0BcV4ZktILVR0O\nUbFGk/7Zs2cRGhqKhQsXAgBu3bqF+fPnN3vF69atg5+fH44dO4aDBw+iZ8+e2Lp1K3x8fHDixAl4\ne3sjIiKi2eshHU8sde0T8ly4aXlv0YA+dddo0v/mm2+wb98+GBsbAwD69euHlJSUZq20uLgYV69e\nxcsvvwwA4PP5MDIywunTpxEeHg4ACA8Px6lTp5q1HtLxSGVyXKeufUKei3N3U3Q21Ebs3UxUSmlM\nljpr0uh9CwuLWve1tbWbtdKnT5/CxMQEy5cvR3h4OFauXImysjLk5OTA3NycW2dubm6z1kM6nrvU\ntU/Ic9PQ4MGnrxVKJVLcSMxRdThEhRqtmGNgYIDs7GzuMr2YmBgYGRk1a6VSqRR37tzBhx9+iH79\n+mH9+vXYunVrnUsBm3ppoIVF8+IhTdMW2jnhTCIAIMine5uIp6V1xG1qa9S1jUOH2uNYTAqu3M/C\nqCH2Sl2XurZxe9Bo0l+6dCnmzJmDp0+fYtq0aUhOTsZ3333XrJVaWVnBysqKm8Y3ODgY27Ztg5mZ\nGbKzs2Fubo6srCyYmjZtvuisLBrwp2wWFkYqb2epTI7o+HSYGOnAzEBL5fG0tLbQxh2dOrexviYP\n3ayMEHcvE4nJOehk0LweW0XUuY1b04v+sGo06bu6uuLnn39GXFwcAKB///7c+f0XZW5uDmtrazx+\n/Bg9evTA5cuX4eDgAAcHBxw4cABz585FZGQkAgMDm7Ue0rFUd+37uFhR1z4hL2CQixV+Ez1EzG0R\ngr26qjocogKNJv2ysjLw+Xx4eXnVekxPT69ZK/7ggw+wdOlSSKVSdOnSBZ988glkMhnefvtt7N+/\nH7a2tti0aVOz1kE6luoJeWiufUJejLezAL+fScTFBEr66qrRpN+/f/96z63fvXu3WSt2cnLC/v37\n6zz+448/Nmu5pGOqHrVvYqQDe1satU/IizDS14arvRmuP8xGirgIXQV07l3dNJr07927x92WSCQ4\ndOgQ8vLylBoUIc+irn1CWoavizWuP8xGdIKIkr4aanLBHQDQ0dHB+PHjcfz4cWXFQ0i9qIwuIS3D\nzcEMhnpauHxbBJlcrupwSCtrNOmXlZVx/0pKSnD58mWaHpe0KqlMjusPqWufkJbA19SAdx8BCksr\nkfCI5kJRN00+p88Yg6amJrp164b333+/NWIjBABwJ5m69glpSb79rHA67in+v707j4uyav8H/plh\n3wTZyQUVSxGRFFIRcUFTc0EIl8otrSh7vpo+mSXZapE+Wlr6mPnrKcsWNbdcKktUXFARV1BBQRE3\nkJ1hm4GZ8/uDmMCNUWZhhs/79eIlM3PPfV+cGeeac93nPudQSjYCOroaOhzSowc6p09kCEl/j9rv\n2dnDwJEQmYZ2ng7wcrHFqYt5KKusgp21haFDIj25Z3m/bln/bj9E+lC3tN+hVePmhyCiGhKJBCH+\nXqhWqtTjZah5uGdPv25Z/3YSiaTRl+wRaaK2tN+nqxdL+0Ra1LuLBzbty8ChlJsY0L2VocMhPbln\n0mdZn5qCJE7IQ6QTzi2s0aVdS5zNLER2QTk8nW0NHRLpwQNdskekT9VKFU5cYGmfSFf6+HsBABJS\nsg0cCelLg0k/NTUV48ePR0BAAHx9fdU/RLp2LrMQ5XIuo0ukKz0ec4OVpRkOp9yE6i6ncsn0NJj0\n33//fcyaNQve3t6Ij49HdHQ0Zs+erY/YqJk7lpoDgKV9Il2xsjDDE53ckV8iR1pWkaHDIT1oMOkr\nFAoEBwdDCAF3d3fMnj0bu3bt0kds1IzVzLWfx9I+kY6F+HsCABJSbho4EtKHBpO+mZkZAMDR0RGp\nqakoLCzk3Pukc+cyC1jaJ9KDR9s4wdXRGklpuZArlIYOh3SswaQ/fPhwFBYWIjo6Gs8++ywGDBiA\nCRMm6CM2asbUy+j6srRPpEtSiQTBfp6QK5Q4foHX7Ju6Bmfkmzp1KgCgX79+SExMhFwuh729vc4D\no+arXmn/EZb2iXStj78ntidk4lByNvp09TJ0OKRDDfb0p0yZgm3btqGyshIWFhZM+KRztaX9Jzqz\ntE+kDx4tbdGxtSNSrxSioKTS0OGQDjWY9KdOnYrdu3dj4MCBmD9/Pk6cOKGPuKgZqy3tB3HUPpHe\nhHT1hABw+Cyv2TdlDSb9AQMG4IsvvsBvv/2Gzp074+OPP8awYcP0ERs1Q7WlfecWLO0T6dMTnd1h\nbibFoeTsu06/TqZB4xn5pNKaTYUQfEOQznDUPpFh2FpboMdjrsguKMflmzJDh0M60mDS37NnD2bM\nmIGnnnoKaWlpePvtt3mdPulM7YpfLO0T6V/tIL5DvGbfZDU4en/t2rWIjIzE4sWLYW1trY+YqJmq\nVqpw4iJL+0SG4te+JRztLJF4LgfPhD0KC3Muz2JqGnxFv/32W4SHhzPhk86dvVyACpb2iQzGTCpF\nbz8PlFVW43R6nqHDIR24Z9L/6KOPcOvWvSdq2L17N3bu3KmToKh54jK6RIYX0pUr75mye5b3+/Tp\ngxdeeAHOzs4ICAiAi4sL5HI5Ll++jKSkJPTp0wezZs3SZ6xkwqqqWdonagpau9ujrYc9ki/lo6Rc\ngRa2loYOibTonkk/LCwMYWFhSEpKQmJiIjIyMmBtbY3AwEDMmTMHLi4u+oyTTNy5zJrSfmg3L0hY\n2icyqD5dvbAu7iKOns3Bk0+0MXQ4pEUNDuQLCgpCUFCQPmKhZoylfaKmo3cXD/yyNx0JKdlM+gZU\nVCrH+j3pAIDxYR3hZG/V6H02OJCvoqICy5Ytw+uvvw4AyMjIwO7duxt9YKJataV9F5b2iZqEFnaW\n8O/ggis5MlzLLTV0OM3W+j3pOHouB0fP5WB93EWt7LPBpP/++++juroaqampAABPT0+sWLFCKwcn\nAv4p7Qd2cmdpn6iJ6NPVEwCQkMwBfYaSV1yh/l2p0s4+G0z6aWlpmDNnDiwsLAAAdnZ2UKm0dHQi\n1FlGl6V9oiYjoKMr7KzNcfhsNpT8zNcrIQR2Hs5ExvUSmEkl8PVuieeefFQr+27wnL6lZf2Rm3K5\nnNPwktZUVatwkqV9oibHwlyKnr4e2HvyOs5lFsK/Awdv64NKJfDj7gvYe+I6nFtYYfbYALRy097q\ntg329IOCgrBq1SooFAocPXoUr732GsLCwrQWADVvZ1naJ2qy+vjXlPgPJXNaXn1QVCnx3y3J2Hvi\nOlq72ePtSUFaTfiABkl/9uzZEELAzs4OixcvRrdu3TBjxgytBkHNl3rUvi9L+0RNTQevFvBwtsXJ\ni3kor6w2dDgmrbSiCovXncTJi3nw9W6Jtyb0QEuHxo/Wv12D5X0LCwtMnz4d06dP1/rBqXmrKe3n\n1pT2vVjaJ2pqJBIJQrp6YvP+S0hKu4V+AY8YOiSTlFtUgc82nEZOQTl6+3lg2nBfmJvpZt0DjS7Z\n+/TTTxEVFYWoqCgsXboUFRUVDT2NqEE1pX0lgjqztE/UVAX7eUIClvh1JTO7BB+vPY6cgnI81bst\nXhzZRWcJH9Ag6S9YsAC3bt1CTEwMYmJicOvWLXz44YdaObhKpUJkZCReeeUVAEBxcTGmTZuGoUOH\n4oUXXoBMxjWdTRmX0SVq+lwcrdHZuyUuXivGrcJyQ4djUpIv5WPRjychK1NgwpOPYeyAjjpfbKzB\npJ+cnIxFixYhMDAQgYGBiI2NRUpKilYO/v3338PHx0d9e/Xq1QgODsauXbvQq1cvfPXVV1o5DjU9\nVdUqnEpnaZ/IGKiv2eciPFpz4MwNfP7LGaiEwKuR/hgU2Fovx9WohlBe/s+3O22V9rOzsxEfH4+x\nY8eq74uLi0NkZCQAIDIykjP/mTCW9omMR2AnN1hZmCEhJRsqXrLdKEIIbDt4Gd/+lgobKzO88Ux3\nBHZy09vxGxzIN2rUKIwfPx4jRowAAPz2228YPXp0ow8cGxuLuXPn1ivh5+fnw9XVFQDg5uaGgoKC\nRh+HmiaW9omMh7WlOYI6ueFQSjYuXi1Cp7YtDR2SUVKqVFi76wL2n74BV0drzB4XAC8XO73G0GBP\nPzo6GnPmzEFxcTGKi4sxZ84cvPjii4066L59++Dq6gpfX9/7TvTDHqBpYmmfyPjUlvgPscT/UOQK\nJZZvSsb+0zfQ1sMeb08K1HvCBzTo6QNA//790b9/f60d9MSJE9izZw/i4+Mhl8tRVlaGN954A66u\nrsjLy4Orqytyc3Ph7Oys0f7c3By0Fhvdm7baOfFsNirkSgzt3Q7u7kz6dfG9rHts44fj4mKPNbvS\ncDwtF6892wPWlvdOH2zj+opkcnzy4xFcvFqEHp3c8ebkINhaWxgkFoloYE7dS5cuYdWqVcjKykJ1\n9T+TM2zcuFErASQmJuKbb77BqlWr8J///AdOTk6Ijo7G6tWrUVJSgjlz5jS4j9xcjvLXNTc3B621\n8//bfg6Hz2Zj/uQgTr1bhzbbmO6Obdw4m/dnYEfCFUSP6oLefp533YZtXF9OYTmWrj+NW0UVCPH3\nxJRhnbVySd7DfrFqsKf/2muvYfTo0YiMjISZmdlDHURT0dHRmDVrFjZt2oRWrVph2bJlOj0e6d8/\npX1rtPdib4DImAT7eWJHwhUcSsm+Z9Knf2TcKMbnv5xBaUUVRvVph4jQ9gY/bd1g0jc3N2/0Ofz7\n6dmzJ3r27AkAcHJywpo1a3R2LDK8s5drRu33D2hl8Dc/ET0YLxc7+DzSAucyC1Aok+tkmlhTcSo9\nD6u2pqBKqcLkoZ0woHsrQ4cEQIOBfKGhoYiPj9dHLNQMHEvNAcBR+0TGqo+/F4QAjpzlgL572Xfq\nOpZvOgMAmPF0tyaT8AENevrBwcF49dVXIZVKYWlpCSEEJBIJDh8+rI/4yIRUVStxKj2PpX0iI9bT\n1x0/776AQynZGNarLSt2dQghsOXAZexIyIS9jQVmjQ1ocuOWGkz67777Lj755BP4+flBKtXdfMBk\n+lJY2icyenbWFni8oyuS0nKRmS1De152CwCoVqrw3e+pOJSSDXcnG8weHwCPlraGDusODSZ9R0dH\nDBs2TB+xkInjMrpEpqGPvxeS0nKRkJLNpA+gQl6NlVtTcPZyAdp7OeC1MQFoYWdp6LDuqsGu++DB\ng/Hzzz+jqKgIFRUV6h+iB1Fb2nd1tEY7T5b2iYxZ1/bOaGFrgaPnclCtVBk6HIMqLpVj0U8ncPZy\nAbr5uGDusz2abMIHNOjp114298EHH0AikajP6Z8/f17nwZHpYGmfyHSYm0nRq4sn/kq6ijMZ+ejx\nmP7mjm9KbuaXYemG08grrkS/gEcwaehjMGvip8EbTPqpqan6iINMHEv7RKYlxL8m6R9Kvtksk/7F\na0X4YuMZlFVWIyK0PUb1aWcUHRqNpuElaoyqaiVOXmRpn8iUtPVwQGs3e5zJyIesXAEH26Zb0ta2\n42m5WL39LJRKganDOyO02yOGDkljTbsOQSYh5XIBKhVcRpfI1IT4e0KpEkj8e9XM5iDu+DWs3JIM\nqUSC18Z2M6qEDzDpkx4cqy3tc0IeIpPSu4sHpBIJDiXfNHQoOqcSAr/sTcePf12Ag50l3pzQHf4d\nXAwd1gNj0iedqqpW4hRL+0QmydHeCl07OCMzW4breWWGDkdnqpUqfL3jHH4/mgUPZ1u8PSkQ7TyN\n81JFJn3SqZRLLO0TmbI+XWsW3klIMc3efnllNZZuOI0jZ3Pg06oFYib2gJuTjaHDemhM+qRTx9JY\n2icyZd0fdYWNlTkOp2RDpbrvSu1Gp1Amx8IfT+D8lUJ0f9QVbzzT3egHLDLpk86wtE9k+izMzdDT\n1x1FpQqcu1Jg6HC05npuKT76PgnXcksxsEcr/CvSH5YWul1eXh+Y9ElnWNonah5CunoBABJSTGPl\nvbSsQsT+cAKFMjnGDPDBxCcfg1RqGp9hvE6fdIalfaLmwadVC7i3tMGJtFyUV1YZOpxGSTyfg693\nnIMQwEsjuyD47zELpoI9fdIJlvaJmg+JRII+XT2hqFbh0Okbhg7nof2ZmIVVv56FuZkUs8cFmFzC\nB5j0SUdqS/tPsLRP1Cx0becMAPjut3MoKpUbOJoHoxICP+++iHV70uFkb4m3JvRAl7//HlPD8j7p\nRO2EPEEs7RM1C38dvwYAKC5VYMF3SXi0tSPMpBJIpZK//5XCTCKBRIr690skdW5LIZVKIJX8s80/\nz//7cfX2qLlPUv+5dZ9Xdz/1Hv97H7JyBTbsy8ClG8UoKJHDy8UW/x73OFwcrQ3cmrrDpE9ap6hS\n4iSX0SVqtgplcqObmtfBxgIxkwJhZ21h6FB0ikmftC7lcgHkCiXCunMZXaLmYnxYRwCAubkUQ4La\nwN7GAkIIKFUCKtVt/9a5X6USUIr629Td7o7n3vbY3fap3s/tx7lt+yvZMhSXKQAAnb1bmnzCB5j0\nSQe4jC5R8+Nkb4WXw/3g5uaA3FyZocPRSFGpHOv3pAP450uLqWPSJ62qW9r39mBpn4iartovKs0J\nR++TVtWW9jlqn4io6WHSJ61iaZ+IqOli0ietYWmfiKhpY9InrVGX9n1Z2iciaoqY9Elraifk4Vz7\nRERNE5M+aYWiSolT6Xlwc2Jpn4ioqWLSJ61IvlRT2ucyukRETReTPmlF0t/L6Pbs7GHgSIiI6F6Y\n9KnRFFU1y+i6OVmjrYe9ocMhIqJ7YNKnRku+VAB5FUv7RERNHZM+NRpL+0RExoFJnxqFpX0iIuNh\nkAV3srOzMXfuXOTn50MqlWLs2LGYPHkyiouLMXv2bFy/fh2tW7fGsmXL4ODAy7+astrS/hOdW7O0\nT0TUxBmkp29mZoZ58+Zh586dWLduHX788UdkZGRg9erVCA4Oxq5du9CrVy989dVXhgiPHsCx1BwA\nnJCHiMgYGCTpu7m5wdfXFwBgZ2cHHx8f5OTkIC4uDpGRkQCAyMhI7N692xDhkYYUVUqcTs+Hu5MN\nS/tEREbA4Of0r127htTUVAQEBCA/Px+urq4Aar4YFBQUGDg6up/kS/kctU9EZEQMmvTLysowc+ZM\nxMTEwM7O7o7EwUTStHGufSIi42KQgXwAUF1djZkzZ2L06NEYPHgwAMDFxQV5eXlwdXVFbm4unJ2d\nNdqXmxsH++lD3XaWVylxJiMfXi52COzqxS9oWsL3su6xjXWPbdx0GSzpx8TEoGPHjpgyZYr6vrCw\nMGzevBnR0dHYsmULBg0apNG+cnNlugqT/ubm5lCvnY+n3UKlQonuj7oiL6/UgJGZjtvbmLSPbax7\nbGP9eNgvVgYp7x8/fhzbt2/HkSNHEBERgcjISOzfvx8vvfQSEhISMHToUBw5cgTR0dGGCI80wNI+\nEZHxMUhPPzAwEOfPn7/rY2vWrNFvMPTAOGqfiMg4GXz0Phmf2lH7T/hy1D4RkTFh0qcHVlvaD+rE\n0j4RkTFh0qcHIq8t7bdkaZ+IyNgw6dMDSc74u7TPCXmIiIwOkz49kNpldDlqn4jI+DDpk8bkVUqc\nSs+De0sbtHFnaZ+IyNgw6ZPGkjPyoahSsbRPRGSkmPRJY5yQh4jIuDHpk0YqFdU4ncHSPhGRMWPS\nJ40cT73F0j4RkZFj0ieNHDx1HQBL+0RExoxJnxokr1Li2PkceLC0T0Rk1Jj0qUHJGfmQK5QIYmmf\niMioMenTfRWVyrFuz0UAQOe2TgaOhoiIGoNJn+7rp78uoKBEDgA4eOamgaMhIqLGMDd0ANQ0qVQC\nh89m43RG/j93srRPRGTUmPSpHiEEzl4uwIa9GbiWWwozqQReLrbwae2Ep0PbGzo8IiJqBCZ9UruS\nLcMv+9JxLrMQEgAhXT0REdoBLo7WcHNzQG6uzNAhEhFRIzDpE/KKK7Bl/yUcPpsDAOja3hljBvig\nrYeDgSMjIiJtYtJvxsoqq7Az4Qp2H7+KaqVAW3d7jB3YEX7tnQ0dGhER6QCTfjNUVa1E3PHr2Hk4\nE2WV1XBpYYWn+/ugVxcPSDlYj4jIZDHpNyMqIXD0XA42x19CfkklbK3MMW5gRwwKbAULczNDh0dE\nRDrGpN9MnMsswIa96cjKKYW5mQRDe7bBiOB2sLexMHRoRESkJ0z6Ju7qrVL8si8dKZcKAAC9/Tzw\ndGgHuDrZGDgyIiLSNyZ9E1VQUoktBy4hITkbAoCvd0uMG9gR3p4ckU9E1Fwx6ZuY8spq/HbkCv5K\nuoqqahVau9lh7MCO6NremYvlEBE1c0z6JqJaqcLek9ex/VAmSiuq0NLBCpGhHdCnqyekUiZ7IiJi\n0jd6QggcS72FTfEZyC2qhI2VGaL6d8CTQW1gacER+URE9A8mfSOWllWIDXvTcfmmDGZSCQYHtcao\nPu3gYGtp6NCIiKgJYtI3QtfzyrBpXwZOpecBAHr6uuPpfh3g3tLWwJEREVFTxqRvRAplcvx68DIO\nnLkBIYDH2jhh3MCO6PBIC0OHRkRERoBJ3whUyKvxx9Es7DqWBUWVCl4uthg7sCMCfFw4Ip+IiDTG\npN+EVStV2H/6Bn49eBmy8io42lviucEdEOLvCTOp1NDhERGRkWHSb4KEEDhxIRcb92Ugp7ACVpZm\niAxtjyFPtIWVJUfkExHRw2HSb2IuXivChr3pyLheAjOpBGE9WiE8pD1a2HFEPhERNU6TTPr79+9H\nbGwshBCIiopCdHS0oUPSuZv5ZdgUfwknLuQCAAI7uSGqvw88nTkin4iItKPJJX2VSoUFCxZgzZo1\ncHd3x5gxYzBo0CD4+PgYOjSdKC5TYNvBy4g/dQMqIdCxlSPGDeyIjq0dDR0aERGZmCaX9M+cOQNv\nb2+0atUKADBixAjExcWZXNKvVFTjz8Sr+D0xC3KFEh7Othg7wAfdH3XliHwiItKJJpf0c3Jy4OXl\npb7t4eGB5ORkjZ5bVCrH+j3pAIDxYR3hZG+lkxgfVlGpHOviLuJWUQXyiyohq6hCC1sLjBvgg9CA\nR2BuxhH5RESkO00u6TfGuriLSDx/CwCQeC6nyS00o1IJiL9/l0qA8JB2GNqzLWysTOplICKiJqrJ\nZRsPDw/cuHFDfTsnJwfu7u73fY6bW80a8dbWFur7Qru3whsTg3QT5ENa/EMS9p+8DgDo+3grvPR0\ngIEjejC17Uy6wzbWPbax7rGNmy6JEEI0vJn+KJVKDBs2DGvWrIGbmxvGjh2Lzz77zOTO6RMREelb\nk+vpm5mZ4Z133sG0adMghMCYMWOY8ImIiLSgyfX0iYiISDc4XJyIiKiZYNInIiJqJpj0iYiImgmj\nSfr79+/HsGHDMHToUKxevfqu23z00UcYMmQIRo8ejfPnz+s5QuPXUBtv374d4eHhCA8Px7PPPou0\ntDQDRGn8NHkvAzWzU/r5+eHPP//UY3SmQZM2Pnr0KCIiIjBy5EhMmjRJzxEav4bauLS0FK+88gpG\njx6NUaNGYfPmzQaI0rjFxMSgT58+GDVq1D23eeC8J4yAUqkUgwcPFteuXRMKhUKEh4eL9PT0etvs\n27dPvPTSS0IIIU6dOiXGjh1riFCNliZtfPLkSVFSUiKEECI+Pp5t/BA0aefa7SZPniyio6PFrl27\nDBCp8dKkjUtKSsTw4cNFdna2EEKI/Px8Q4RqtDRp41WrVoklS5YIIWrat2fPnqKqqsoQ4RqtY8eO\niXPnzomRI0fe9fGHyXtG0dOvOx+/hYWFej7+uuLi4hAREQEACAgIgEwmQ15eniHCNUqatPHjjz8O\nBwcH9e85OTmGCNWoadLOALB27VoMHToUzs7OBojSuGnSxtu3b8eQIUPg4eEBAGznB6RJG0skEpSV\nlQEAysrK4OTkBHPzJneVeJMWFBSEFi1a3PPxh8l7RpH07zYf/61bt+ptc+vWLXh6etbbhklJc5q0\ncV2//PIL+vXrp4/QTIom7ZyTk4Pdu3fjueee03d4JkGTNs7MzERxcTEmTZqEqKgobN26Vd9hGjVN\n2njChAlIT09H3759MXr0aMTExOg7TJP3MHmPX7vogR05cgSbN2/GTz/9ZOhQTFJsbCzeeOMN9W3B\nqTS0TqlU4ty5c/juu+9QXl6OZ555Bt27d4e3t7ehQzMZBw8eRJcuXfD9998jKysLU6dOxbZt22Bn\nZ2fo0Jo1o0j6mszH7+7ujuzsbPXt7OxsdemOGqbpmgepqal499138fXXX8PR0VGfIZoETdo5JSUF\ns2fPhhAChYWF2L9/P8zNzTFo0CB9h2uUNGljDw8PtGzZElZWVrCyskJQUBBSU1OZ9DWkSRtv3rwZ\n0dHRAIC2bduidevWuHTpEvz9/fUaqyl7mLxnFOV9f39/ZGVl4fr161AoFNi5c+cdH4CDBg1Sl+hO\nnTqFFi1awNXV1RDhGiVN2vjGjRuYOXMm/vOf/6Bt27YGitS4adLOcXFxiIuLw549ezBs2DC89957\nTPgPQNPPi+PHj0OpVKKiogJnzpzhdN8PQJM2fuSRR3D48GEAQF5eHjIzM9GmTRtDhGvU7lfpe5i8\nZxQ9/XvNx79u3TpIJBKMHz8e/fv3R3x8PJ588knY2Njgk08+MXTYRkWTNl65ciWKi4vxwQcfRM2U\n9wAADn5JREFUQAgBc3NzbNy40dChGxVN2pkaR5M29vHxQd++fREeHg6pVIpx48ahY8eOhg7daGjS\nxtOnT8e8efPUl5u98cYbcHJyMnDkxuX111/H0aNHUVRUhAEDBmDGjBmoqqpqVN7j3PtERETNhFGU\n94mIiKjxmPSJiIiaCSZ9IiKiZoJJn4iIqJlg0iciImommPSJiIiaCSZ9IiKiZoJJn0zSpEmTEB8f\n/9DPX7p0KZ566ilMnDhRazFt2bIFV65cUd/es2cPFi9erLX9P4zExERERUU1ej+VlZWIiopCZWWl\nFqJ6ePPmzcOPP/740M+fNGkSrl+/Xu8+hUKBJ598EkIIhIWFIT09vbFhYuHChfjzzz8f+vnaet3u\nZsmSJdixY4dO9k2Gx6RPdBdr1qzBTz/9hB9++OGOx1Qq1UPtc/PmzcjMzFTfDgsLq7ewjqFIJJJG\n76N2KWBra2stRGQ4zz//PJYvX17vvoSEBPTu3Vsr7QTUzFOfkJCAIUOGNGo/2orndtOmTcOKFSt0\nsm8yPKOYhpeMU2VlJd58801kZGTA3Nwc7du3x9KlS5GXl4d///vfKCsrg0KhQP/+/TFnzhwAwIoV\nK3Dp0iWUlpYiMzMTfn5+iI6OxsKFC3Hz5k0MHjwYc+fOBVDTK/P19cXJkydRUlKCYcOGYfbs2XfE\nUVpaioULF+LChQuQy+Xo1asX5s2bd88PzQkTJkChUOD5559H37590b9/f3z00Ufw8/NDamoqZs2a\nBZlMhu+//x7V1dUAaqYYDQ4OBgBkZGQgNjYWubm5AGo+RFUqFVJSUvDRRx9h2bJlmDt3LrKzs7F3\n71588cUXAIDVq1dj+/btAGrmNn/nnXdgY2ODFStW4PLly5DJZLh69Sq8vb3x+eefw8rKSouvVo34\n+HisWrUKCoUCFhYWmDdvHgICApCYmIjY2Fh069YNp06dglQqxWeffYYOHToAADZs2IDvv/8eQM1c\n4R988AESExNhaWkJW1tb/PTTT1AqlYiOjkZxcTHkcjn8/f3x4YcfwtzcHFu2bMGOHTvg4OCAtLQ0\neHp6Yv78+Vi0aBGysrLQtWtXLFmyBEBNb97c3BwXL15EUVERnnjiCbz33nt3rNVeVVWFpUuXIikp\nCQqFAp06dcL7778PGxsbrF+/Ht999x2srKygUqmwbNkytG/fHv3798c777yD8vJy2NraAqhZC+Fu\nax/k5uZiwYIFyM7ORmVlJUaOHKleYCYsLAwRERFISEhAbm4upk2bhgkTJgAANm3ahKFDhwKo+T8y\nYMAA/PHHH+opahctWgR7e3v861//wpw5c5CZmQmFQgFvb2/ExsbCwcGhXhyJiYlYtGgRNm3adNfb\nW7duVbe/g4MD3n//fbRr1w4nT57EggULIIRAdXU1pk+fjuHDh8PZ2Rlt27bF4cOH1e9pMiGCSEf+\n+usv8cILL6hvl5SUCCGEkMvlory8XAghRFVVlZg8ebI4cOCAEEKI5cuXiyFDhojS0lKhUqlEeHi4\neOGFF0RVVZUoLy8XwcHB4sqVK0IIISZOnCimTZsmVCqVKCsrEyNHjhT79u1TP1b7+9tvvy1+/fVX\nIYQQKpVK/Pvf/xYbNmy4b+ydOnUSFRUVQgghjh49Krp06SJOnz6tfryoqEj9+6VLl0S/fv2EEEJU\nV1eLIUOGiF27dt2xbd2YhBBi8+bNYubMmUIIIfbt2ydGjhwpysrKhBBCzJ07VyxZsqRem8hkMiGE\nENOmTbtn/DNmzBARERF3/ZHL5Xdsf/ToUREVFSWEECIrK0uMHz9elJaWCiGEuHjxohgwYIB6Oz8/\nP3H+/HkhhBBffvmlmDNnjhBCiJs3b4qQkBD1Ps+dOyeeeuop9e3a1/32dps7d65Yt26dui169uwp\ncnJyhBBCvPzyyyIiIkLIZDJRXV0tRo0aJRISEoQQQrz11lsiPDxcVFRUCKVSKaZNmyZ++OEH9WO1\nv69cuVJ8+eWX6uMtXrxYLF26VAghRGBgoMjNzRVCCKFQKERlZaV6u7rvR5VKJQYNGqRuu4EDB4qL\nFy8KIYSYOnWqOHbsmHofzz33nDrGgQMHikWLFgkhhLh27Zp4/PHH1e/5KVOmqPcvhBDz588Xa9eu\nFULUvH/69u0rbty4IYQQorCwUL3d0qVLxaeffnrH61b399tvHzt2TERHRwuFQiGEECI+Pl4888wz\nQgghpk+fLnbu3Kl+Xu37SwghVqxYoT4WmRb29ElnOnXqhEuXLmHBggV44oknMGDAAAA1a5kvWrQI\nJ0+ehBAC+fn5OH/+PPr27QsACA0NVa+53alTJ/j6+sLc3FxdLcjKylKv8hcZGQmJRAJbW1uMGDEC\nR44cQf/+/evFsWfPHiQnJ+Obb74BUNO78vT0bDB+UWdZCm9vb3Tr1k19+8qVK/j888+Rk5MDc3Nz\n5OfnIz8/H4WFhVCpVPVKt5osQXzkyBGMGDFC3bscN24cYmNj8frrr6vbxN7eHgDQrVs3XL169a77\nqa0aPIwDBw7g6tWrmDhxovpvV6lUKCgoAAC0b98enTt3BgAEBARg3759AGqW86y7slebNm2gVCoR\nExODXr16YeDAgep9ff311zhw4ACUSiVkMhlsbGzUz+vevbt6eVZfX1+0bt1a/Td37twZWVlZ6p7n\n8OHD1acSIiIi8Ndff6l70rX27NmDsrIy/PHHHwBqev618QcHB+PNN9/EwIED0b9//3qrv7m6uqqX\nKz116hR8fX1haWlZb98VFRVITExEYWGhuq3Ky8uRkZGhjnHEiBEAgFatWsHR0RHZ2dlo3779He0V\nERGBjz/+GBMnTkR8fDx8fHzg5eUFoGYcyPbt21FVVYXKykq0a9fu/i/ibfbu3Yu0tDSMGzcOQggI\nISCTyQAAvXr1wpdffokrV64gJCSk3vvbzc0NSUlJD3QsMg5M+qQzbdq0wY4dO3D48GHEx8dj6dKl\n2L59O7799lvIZDJs3LgRFhYWePfddyGXy9XPq/sBa2ZmVu+2VCqFUql84Fj++9//onXr1hpvf3vp\nvzYZ13r99dcxb948hIWFQQiBgICAen+Dtt3eJvc61syZM5GVlXXH/RKJBOvXr78jedUlhEBoaCgW\nLlx418frnk4wMzNTn9qwtrauF4+9vT127NiBxMREHDp0CEuWLMHWrVtx8OBBnDx5Ej///DNsbGzw\n1Vdf1RvjcPv+b/+ba4+nKSEE3nvvPfTq1euOx5YvX47k5GQcOXIEU6ZMwQcffIDQ0FAANQP3ar9Q\n7N69+66lfZVKBYlEgk2bNkEqvfvQqLp/T9337e3tFRgYiLKyMly4cAFbt27F008/DQBISkrCunXr\nsH79ejg5OWHHjh3YsGHDHccxMzOrN86k7r6FEIiKisKMGTPueN6UKVMQFhaGw4cPY8GCBQgJCcGs\nWbPU+zD28Rl0dxzIRzqTk5MDqVSKQYMGYd68eSgsLERxcTFkMhnc3NxgYWGBnJwcxMXFPfQxtm3b\nBqVSifLycvz+++/o3bv3HduEhYVh9erV6g/GwsJCXLt27b77FQ0sPimTydCqVSsAwMaNG1FVVQWg\npjdsZmaGXbt2qbctKioCUJMMa3tZtwsODsZvv/2G8vJyCCGwceNGdeXjQXzxxRfYunXrHT9btmy5\nb8IHgL59++LAgQP1RqcnJyc3eMz27dsjNzdX3QYFBQWoqKhASEgI5syZgxYtWuDq1auQyWRo2bIl\nbGxsIJPJGjVC/I8//kBlZSWqq6vx66+/3vN1//bbb9VJsKysDBkZGVAqlbh69Sr8/f3x0ksvISQk\nBOfPn1c/LyMjA76+vgCAffv2qStUddnZ2SEoKAirVq1S35ednY38/PwGY3/sscdw+fLlevdFRkbi\nm2++QVJSkvp8v0wmg4ODAxwdHaFQKNTn6G/Xpk0bXLt2DTKZDEII7Ny5s14bbN26FTk5OQBqvqyc\nPXsWANTr248bNw6TJ0+u91pnZGSgU6dODf4tZHzY0yedSUtLw6effgqg5sPm5ZdfhpubGyZNmoTX\nXnsNo0aNgqen5wMNFrq9B96hQwc888wzKCkpwVNPPaUu7dfdbt68eVi8eDFGjx4NoKYHFhMTc9+e\nf0Mjo2NiYvDqq6/C0dERoaGh6kFYZmZmWLlyJT788EOsWLECZmZmmDZtGsLDwzF+/HgsXLgQ//vf\n/9SDEWv169cPFy5cwPjx4wEAXbt2xSuvvKJhq2iHt7c3Fi9ejLfffhtyuRxVVVXo0aMH/P397/s8\nKysr9OrVC4mJiQgJCUF2djbmz58PlUoFpVKJfv364fHHH0fHjh0RFxeH4cOHw8XFBUFBQQ99iZ+/\nvz+mTp2KgoIC9OrVC+PGjbtjm+joaCxfvhxjxoyBRCKBVCrF//3f/6FNmzZ46623IJPJIJFI4OXl\npR5Iev36dUgkEvj4+CAjIwPOzs711oCv+75YsmQJYmNjER4eDiEE7O3tERsbCxcXlzveP3VvDxky\nBL///jsiIiLU940ePRqDBw9GVFSUukIQGhqKbdu2YejQoXB2dkZQUBDOnDlzx9/p7u6OqVOnIjIy\nEq6urujZs6f6i1tQUBBmz56N6dOnQ6VSoaqqCsOGDYOfnx/Wrl2Lo0ePwsLCAlZWVpg/f756n0eO\nHMH06dMf6DUh4yARDXVpiJqoSZMm4cUXX7zjHD7p38mTJ/G///1PL5d6zZs3D127dr3jHL42fPbZ\nZ/D29kZUVBRWr14NS0tLPP/881o9hkqlwpgxY7B69ep65/abioMHD2L79u1YtGiRoUMhHWBPn4yW\nrq5TpgfXvXt3DBgwAJWVlUZ9LtjDw0M96U3t5XfaJpVK8eGHH+LatWtNMumXlZWpKx9ketjTp2Zr\n+vTp6lHaQM15/EceeQQrV640YFRERLrDpE9ERNRMcPQ+ERFRM8GkT0RE1Eww6RMRETUTTPpERETN\nBJM+ERFRM/H/AQgTeNtqGVo3AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98933c88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for replace in [True, False]:\n",
" for has_weights in [True, False]:\n",
" print('#'*80)\n",
" print((\"sample_with_replacement={re}, sample_weighted={hw}\").format(\n",
" re=replace, hw=has_weights))\n",
" if has_weights:\n",
" wts = pmf.values\n",
" else:\n",
" wts = None\n",
" time_start = time.perf_counter()\n",
" pct_arr = list()\n",
" for frac in fracs:\n",
" print(frac, end=' ')\n",
" size = round(frac*len(dist))\n",
" def rand_sum():\n",
" rand_idxs = np.random.choice(dist.index.values, size=size, replace=replace, p=wts)\n",
" rand_tfmask = tfmask.loc[rand_idxs]\n",
" rand_idxs_true = rand_tfmask[rand_tfmask].index.values\n",
" return (1.0/frac)*dist.loc[rand_idxs_true, wt].sum()\n",
" pct_arr.append(\n",
" np.percentile(\n",
" a=[rand_sum() for _ in range(int(1e2))], q=percentiles))\n",
" pct_arr = np.asarray(pct_arr)\n",
" time_stop = time.perf_counter()\n",
" print(\"\\nElapsed time (sec) = {diff:.2f}\".format(diff=time_stop-time_start))\n",
" xlabel = \"sample_fraction = len(samples)/len(values)\"\n",
" plt.title(\n",
" (\"sum(values) vs sample_fraction\\n\" +\n",
" \"sample_with_replacement={re}, sample_weighted={hw}\").format(\n",
" re=replace, hw=has_weights))\n",
" plt.xlabel(xlabel)\n",
" plt.ylabel(\"sum(values)\")\n",
" plt.fill_between(fracs, y1=pct_arr[:, 0], y2=pct_arr[:, -1], alpha=0.2)\n",
" plt.fill_between(fracs, y1=pct_arr[:, 1], y2=pct_arr[:, -2], alpha=0.2)\n",
" plt.plot(fracs, pct_arr[:, 3], marker='.')\n",
" plt.axhline(y=ref_est, color=sns.color_palette()[2])\n",
" plt.show()\n",
" plt.title(\n",
" (\"std(values) vs sample_fraction\\n\" +\n",
" \"sample_with_replacement={re}, sample_weighted={hw}\").format(\n",
" re=replace, hw=has_weights))\n",
" plt.xlabel(xlabel)\n",
" plt.ylabel(\"std(values) = (p84-p16)/2\")\n",
" plt.plot(fracs, (pct_arr[:, -2]-pct_arr[:, 1])/2, marker='.')\n",
" plt.axhline(y=ref_se, color=sns.color_palette()[2])\n",
" plt.show()\n",
" plt.title(\n",
" (\"moe(values) vs sample_fraction\\n\" +\n",
" \"sample_with_replacement={re}, sample_weighted={hw}\").format(\n",
" re=replace, hw=has_weights))\n",
" plt.xlabel(xlabel)\n",
" plt.ylabel(\"moe(values) = (p95-p05)/2\")\n",
" plt.plot(fracs, (pct_arr[:, -1]-pct_arr[:, 0])/2, marker='.')\n",
" plt.axhline(y=ref_moe, color=sns.color_palette()[2])\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Estimate sum from sampling from subdistribution"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"sum(values) = 7443\n"
]
},
{
"data": {
"image/png": 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6tsob7WLfAhkZGVq1apWWL1+uxYsXq2XLloqLi1NiYqLOnTunWbNm/egcubnV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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e988cfc18>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98988c50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/samuel_harrold/anaconda3/lib/python3.5/site-packages/numpy/core/_methods.py:59: RuntimeWarning: Mean of empty slice.\n",
" warnings.warn(\"Mean of empty slice.\", RuntimeWarning)\n"
]
},
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98d5be10>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"bin_edges =\n",
" [ 1. 4.30337644 7.60675288 10.91012931 14.21350575\n",
" 17.51688219 20.82025863 24.12363506 27.4270115 30.73038794\n",
" 34.03376438 37.33714081 40.64051725 43.94389369 47.24727013\n",
" 50.55064656 53.854023 ]\n",
"bin_counts =\n",
" [103 51 146 125 65 54 35 16 2 0 1 3 4 6 0 2]\n",
"bin_pdf =\n",
" [ 0.05086496 0.02518556 0.07209984 0.06172932 0.03209924 0.02666706\n",
" 0.01728421 0.00790135 0.00098767 0. 0.00049383 0.0014815\n",
" 0.00197534 0.00296301 0. 0.00098767]\n",
"bin_avgpmf =\n",
" [ 0.00034045 0.00082457 0.0012322 0.00165095 0.00215587 0.00252785\n",
" 0.00293277 0.0035352 0.0038291 0. 0.00497111 0.00523982\n",
" 0.00550853 0.00604595 0. 0.00705361]\n"
]
}
],
"source": [
"dist = df.loc[tfmask_test, wt]\n",
"pmf = dist/dist.sum()\n",
"assert np.isclose(pmf.sum(), 1.0)\n",
"fracs = [0.01, 0.1, 0.2, 0.33, 0.5, 0.67, 0.8, 0.9, 0.99]\n",
"print(\"sum(values) = {sm}\".format(sm=dist.sum()))\n",
"# Scott's rule is fast to compute (low cpu time), wide bin widths (low memory)\n",
"# Compute bin_[edges,pmf] with an initial sample.\n",
"(bin_width, bin_edges) = astroML_dens.scotts_bin_width(dist.values, return_bins=True)\n",
"bin_counts = np.histogram(dist.values, bins=bin_edges)[0]\n",
"bin_pdf = np.histogram(dist.values, bins=bin_edges, density=True)[0]\n",
"assert np.isclose(np.sum(bin_pdf*bin_width), 1.0)\n",
"plt.title(\"distribution of values\")\n",
"plt.xlabel('values')\n",
"plt.ylabel('counts')\n",
"plt.hist(dist.values, bins=bin_edges, normed=False, histtype='stepfilled', rwidth=1.0)\n",
"plt.show()\n",
"plt.title(\"probability density function\")\n",
"plt.xlabel('values')\n",
"plt.ylabel('counts')\n",
"plt.hist(dist.values, bins=bin_edges, normed=True, histtype='stepfilled', rwidth=1.0)\n",
"plt.show()\n",
"# avg pmf in bins\n",
"bin_avgpmf = np.empty(len(bin_edges)-1)\n",
"dist_bin_idxs = np.digitize(dist.values, bins=bin_edges) - 1\n",
"for bidx in range(len(bin_avgpmf)):\n",
" bin_avgpmf[bidx] = np.average(pmf[dist_bin_idxs == bidx])\n",
"bin_avgpmf = np.nan_to_num(bin_avgpmf)\n",
"assert np.isclose(np.sum(bin_counts*bin_avgpmf), 1.0)\n",
"plt.step(bin_edges, np.append([0], bin_avgpmf))\n",
"plt.show()\n",
"print('bin_edges =\\n', bin_edges)\n",
"print('bin_counts =\\n', bin_counts)\n",
"print('bin_pdf =\\n', bin_pdf)\n",
"print('bin_avgpmf =\\n', bin_avgpmf)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"7497.3520920753672"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# test rand_sum\n",
"replace=True\n",
"wts=None\n",
"size=round(0.1*len(dist))\n",
"def rand_sum():\n",
" #pdb.set_trace()\n",
" rand_idxs = np.random.choice(dist.index.values, size=size, replace=replace, p=wts)\n",
" prob_sample = np.sum(\n",
" bin_avgpmf[np.digitize(dist[rand_idxs].values, bins=bin_edges) - 1])\n",
" return (1.0/prob_sample)*dist[rand_idxs].sum()\n",
"rand_sum()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"################################################################################\n",
"sample_with_replacement=True, sample_weighted=True\n",
"0.01 0.1 0.2 0.33 0.5 0.67 0.8 0.9 0.99 \n",
"Elapsed time (sec) = 8.26\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/samuel_harrold/anaconda3/lib/python3.5/site-packages/matplotlib/__init__.py:892: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
" warnings.warn(self.msg_depr % (key, alt_key))\n"
]
},
{
"data": {
"image/png": 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Wr1+PpKQkPPnkk80eR3JyMtatW4e0tDQkJibiySefbPR9mkrrCwCbNm1Camqq+rorEU1T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\nxL+2O1YAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98a7bd30>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Ka8imbdu2eP/99/HBBx8gMDAQwcHB2LBhAzQaTbU4Jk2aBH9/f4SHh2Ps2LF4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\nxhhzMhzcGWOMMSfDwZ0xxhhzMv8PaSmW/T96VxsAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98b30080>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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uXIm1a9fC29sbMTExdb68qfubuvP16uvufn5++Oijj/DBBx/A1ta2zntHjRqF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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98b00f60>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"################################################################################\n",
"sample_with_replacement=True, sample_weighted=False\n",
"0.01 0.1 0.2 0.33 0.5 0.67 0.8 0.9 0.99 \n",
"Elapsed time (sec) = 8.01\n"
]
},
{
"data": {
"image/png": 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8+eSTSE5Oxg033IBOnTphzpw5AIDFixfjhRdewODBg7Fy5cpzLnd9rusItPOn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\nEZgQEBEREZgQEBEREZgQEBEREYD/D4iHCBr3dtljAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98bb4470>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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SkUHLli2RlpaGdevW4fvvv8cnn3yCgIAAPP/889Ly586dQ//+/REcHIwZM2bU2MKz6v6t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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98bf83c8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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tWyZdtg4KCkJsbGyd3R7V3ztu3Djs3LkTwcHBNUaq343aPpfaHpswYQIAIDQ0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\nLD8VtngulAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98964e48>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"################################################################################\n",
"sample_with_replacement=False, sample_weighted=True\n",
"0.01 0.1 0.2 0.33 0.5 0.67 0.8 0.9 0.99 \n",
"Elapsed time (sec) = 10.69\n"
]
},
{
"data": {
"image/png": 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88ssYMGAAVq1a1ejy142dc/U4f3JyMv72t7/h9ddfh9VqrbPt6NGjMWfOHDz+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\nERgIiIiICAwEREREBOD/AQi89fkbMl/5AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e989b4470>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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s3bsXnp6e6NevH9auXYuioiIAZSMrT8/XeFpWVhbefvttuLq6wtfXF82bN8fU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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0e98d6e908>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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/bgzljR8/Hjk5OfDz88Po0aPRq1cvte87f/48hg0bho4dOyI8PBzz5s1D48aN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