In [1]:
import os
from graph_tool.all import *
import codecs
from collections import defaultdict, OrderedDict
import matplotlib.pyplot as plt
import numpy as np
%matplotlib inline 
from igraph import *
from scipy.stats.stats import pearsonr
from scipy import stats
import pandas as pd
import math
import json
import seaborn as sns
plt.style.use('seaborn-white')
sns.set(font_scale=2) 
sns.set_style("white")
default_stdout = sys.stdout
sys.stdout = default_stdout

In [2]:
WORKING_FOLDER = '../../../DATA/FIN/SBM'
os.chdir(WORKING_FOLDER)
f_in_graph = 'mention_graph_weights.dat'
f_in_SBM_output_comm = 'SBM_weighted_clusters_node_names'

Read in Data


In [3]:
# returns a dict with nodes ids per community in each value
# dict keys are just community ids in returned order 
def read_SBM_output(change_node_names=True):  
    input_file = codecs.open(f_in_SBM_output_comm, 'r', encoding='utf8')
    output = defaultdict(list)
    num_COMM = 0
    for line in input_file:
        line = line.split()
        output[num_COMM] = line
        num_COMM += 1
         
    return output

read_SBM_output()


Out[3]:
defaultdict(list,
            {0: [u'22430',
              u'19534',
              u'20923',
              u'27080',
              u'24889',
              u'18675',
              u'14726',
              u'1616',
              u'28169',
              u'7763',
              u'18154',
              u'26617',
              u'13770',
              u'8038',
              u'28182',
              u'22601',
              u'19640',
              u'17317',
              u'22073',
              u'21001',
              u'1104',
              u'8351',
              u'2734',
              u'17414',
              u'14516',
              u'25924',
              u'25222',
              u'13391',
              u'7827',
              u'25206',
              u'16485',
              u'8430',
              u'7415',
              u'106',
              u'12408',
              u'27383',
              u'2705',
              u'25488',
              u'20111',
              u'20446',
              u'21541',
              u'8524',
              u'10510',
              u'22645',
              u'14882',
              u'25796',
              u'20287',
              u'13028',
              u'8193',
              u'16685',
              u'22337',
              u'22411',
              u'3980',
              u'24567',
              u'16191',
              u'19568',
              u'10215',
              u'10899',
              u'27381',
              u'639',
              u'15256',
              u'15027',
              u'4951',
              u'22678',
              u'21968',
              u'20313',
              u'20745',
              u'8326',
              u'1469',
              u'16196',
              u'6536',
              u'11348',
              u'1961',
              u'5796',
              u'3808',
              u'5356',
              u'4412',
              u'24657',
              u'28446',
              u'2150',
              u'9548',
              u'25735',
              u'5587',
              u'11803',
              u'18004',
              u'12986',
              u'23425',
              u'5663',
              u'13064',
              u'13755',
              u'22320',
              u'23899',
              u'24695',
              u'7810',
              u'12774',
              u'20657',
              u'27551',
              u'21051',
              u'13250',
              u'11677',
              u'23809',
              u'25393',
              u'17188',
              u'17394',
              u'2022',
              u'21390',
              u'14241',
              u'11384',
              u'16941',
              u'5724',
              u'19013',
              u'20316',
              u'28336',
              u'439',
              u'16020',
              u'27432',
              u'4577',
              u'11514',
              u'381',
              u'20167',
              u'13280',
              u'23202',
              u'19333',
              u'24202',
              u'6776',
              u'13550',
              u'11650',
              u'13473',
              u'7479',
              u'26114',
              u'7993',
              u'25990',
              u'14814',
              u'3447',
              u'12465',
              u'19690',
              u'17438',
              u'9865',
              u'7707',
              u'456',
              u'16986',
              u'8959',
              u'12798',
              u'13637',
              u'4265',
              u'8448',
              u'2986',
              u'5194',
              u'14627',
              u'26410',
              u'18028',
              u'3570',
              u'13313',
              u'17832',
              u'19452',
              u'22275',
              u'4399',
              u'19338',
              u'6266',
              u'9609',
              u'2579',
              u'14667',
              u'6138',
              u'18323',
              u'268',
              u'16285',
              u'25035',
              u'2054',
              u'20401',
              u'3903',
              u'17899',
              u'6397',
              u'20979',
              u'1378',
              u'3103',
              u'14384',
              u'5801',
              u'21292',
              u'26918',
              u'9477',
              u'12018',
              u'2658',
              u'17822',
              u'6478',
              u'9319',
              u'2316',
              u'396',
              u'13945',
              u'13253'],
             1: [u'7471',
              u'23797',
              u'6987',
              u'28653',
              u'912',
              u'1700',
              u'13819',
              u'645',
              u'6654',
              u'475',
              u'26273',
              u'4945',
              u'21254',
              u'2253',
              u'7956',
              u'29457',
              u'12707',
              u'12670',
              u'3362',
              u'27753',
              u'8349',
              u'22765',
              u'24244',
              u'20643',
              u'12825',
              u'11315',
              u'17881',
              u'590',
              u'8072',
              u'23199',
              u'1799',
              u'4052',
              u'16934',
              u'10940',
              u'14429',
              u'13793',
              u'5822',
              u'27764',
              u'22016',
              u'20064',
              u'29224',
              u'23154',
              u'9134',
              u'26421',
              u'26256',
              u'3733',
              u'16680',
              u'21005',
              u'16537',
              u'26601',
              u'11956',
              u'4556',
              u'11015',
              u'8634',
              u'26289',
              u'28120',
              u'7347',
              u'28360',
              u'12908',
              u'1392',
              u'17992',
              u'12784',
              u'16883',
              u'10685',
              u'21678',
              u'22362',
              u'19400',
              u'11337',
              u'15718',
              u'3526',
              u'11625',
              u'10889',
              u'25095',
              u'5886',
              u'7474',
              u'8732',
              u'14004',
              u'14391',
              u'25247',
              u'28247',
              u'13440',
              u'7072',
              u'22034',
              u'2020',
              u'9448',
              u'10335',
              u'17050',
              u'13597',
              u'15651',
              u'24098',
              u'26822',
              u'29145',
              u'6310',
              u'6597',
              u'15434',
              u'14496',
              u'23364',
              u'11734',
              u'28726',
              u'22353',
              u'4351',
              u'6842',
              u'8309',
              u'16716',
              u'2339',
              u'14714',
              u'26513',
              u'12329',
              u'1000',
              u'14594',
              u'24953',
              u'756',
              u'23197',
              u'29470',
              u'26364',
              u'21667',
              u'1900',
              u'20712',
              u'23826',
              u'14966',
              u'27005',
              u'23358',
              u'16932',
              u'10525',
              u'10540',
              u'18567',
              u'6034',
              u'18258',
              u'2980'],
             2: [u'29272',
              u'15663',
              u'22166',
              u'13502',
              u'1447',
              u'12581',
              u'2573',
              u'6305',
              u'11213',
              u'16661',
              u'22935',
              u'20093',
              u'3478',
              u'22205',
              u'2902',
              u'7875',
              u'12526',
              u'5991',
              u'2446',
              u'342',
              u'7325',
              u'18969',
              u'1350',
              u'8134',
              u'24335',
              u'28414',
              u'7139',
              u'108',
              u'15639',
              u'8285',
              u'16243',
              u'20300',
              u'6114',
              u'7938',
              u'12608',
              u'4702',
              u'12562',
              u'5902',
              u'29065',
              u'10725',
              u'13744',
              u'25964',
              u'1770',
              u'1115',
              u'14592',
              u'5002',
              u'18617',
              u'13954',
              u'24805',
              u'12622',
              u'22441',
              u'28960',
              u'26014',
              u'15398',
              u'7516',
              u'24077',
              u'10777',
              u'12410',
              u'15607',
              u'6873',
              u'4748',
              u'11536',
              u'13767',
              u'21138',
              u'21006',
              u'1607',
              u'1851',
              u'16887',
              u'17886',
              u'9158',
              u'26409',
              u'9349',
              u'14209',
              u'18273',
              u'7812',
              u'15467',
              u'21016',
              u'1834',
              u'12007',
              u'24031',
              u'22602',
              u'28536',
              u'22133',
              u'16061',
              u'9698',
              u'3701',
              u'13901',
              u'9721',
              u'11107',
              u'23994',
              u'22508',
              u'8869',
              u'23646',
              u'25683',
              u'21674',
              u'27215',
              u'5623',
              u'14308',
              u'86',
              u'3280',
              u'3422',
              u'20618',
              u'25486',
              u'14672',
              u'689',
              u'16626',
              u'21910',
              u'18816',
              u'22093',
              u'13697',
              u'15068',
              u'19179',
              u'9593',
              u'19631',
              u'13952',
              u'3996',
              u'17857',
              u'18253',
              u'9918',
              u'22316',
              u'20567',
              u'16382',
              u'21636',
              u'667',
              u'22688',
              u'22903',
              u'28509',
              u'20279',
              u'4473',
              u'8941',
              u'13436',
              u'8781',
              u'25702',
              u'3922',
              u'10665',
              u'13397',
              u'19837',
              u'24854',
              u'5111',
              u'6703',
              u'26015',
              u'24112',
              u'7016',
              u'15689',
              u'16861',
              u'7178',
              u'27293',
              u'28069',
              u'14869',
              u'10415',
              u'10027',
              u'16273',
              u'18797',
              u'11591',
              u'13828',
              u'18702',
              u'25271',
              u'13876',
              u'4470',
              u'11641',
              u'12925',
              u'2361',
              u'5677',
              u'9756',
              u'11648',
              u'12353',
              u'8385',
              u'22066',
              u'27519',
              u'25700',
              u'9694',
              u'10277',
              u'22710',
              u'8499',
              u'925',
              u'5630',
              u'8055',
              u'25642',
              u'26806',
              u'22663',
              u'25224',
              u'25965',
              u'26460',
              u'8714',
              u'25722',
              u'5276',
              u'24082',
              u'16599',
              u'16749',
              u'1208',
              u'5903',
              u'17457',
              u'17692',
              u'9528',
              u'1087',
              u'7212',
              u'1480',
              u'3125',
              u'12506',
              u'6214',
              u'821',
              u'24683',
              u'15599',
              u'28626',
              u'26938',
              u'8025',
              u'5740',
              u'24652',
              u'20586',
              u'21375',
              u'7950',
              u'6262',
              u'28139',
              u'21703',
              u'14420',
              u'18301',
              u'4427',
              u'14528',
              u'8153',
              u'6798',
              u'17609',
              u'20522',
              u'6942',
              u'27922',
              u'19080',
              u'7182',
              u'26525',
              u'14532',
              u'5342',
              u'24353',
              u'2604',
              u'23442',
              u'20825',
              u'23086',
              u'23959',
              u'19057',
              u'9246',
              u'432',
              u'16800',
              u'21178',
              u'23518',
              u'15378',
              u'14718',
              u'11691',
              u'16791',
              u'19037',
              u'3855',
              u'4300',
              u'5237',
              u'12885',
              u'5147',
              u'6285',
              u'9793',
              u'18992',
              u'3439',
              u'20936',
              u'26183',
              u'8605',
              u'5851',
              u'18207',
              u'24995',
              u'22245',
              u'2574',
              u'2408',
              u'14998',
              u'7846',
              u'23042',
              u'20477',
              u'26957',
              u'20987',
              u'3895',
              u'12662',
              u'16056',
              u'2394',
              u'21036',
              u'21740',
              u'17655',
              u'17741',
              u'17719',
              u'12615',
              u'23883',
              u'7809',
              u'27596',
              u'2960',
              u'2527',
              u'26750',
              u'7114',
              u'7157',
              u'6307',
              u'28249',
              u'11322',
              u'15005',
              u'23915',
              u'7857',
              u'5870',
              u'11617',
              u'16526',
              u'19364',
              u'6894',
              u'22351',
              u'4884',
              u'14371',
              u'10826',
              u'7110',
              u'3455',
              u'10250',
              u'5143',
              u'28865',
              u'21933',
              u'5319',
              u'16803'],
             3: [u'19872',
              u'6648',
              u'19310',
              u'6975',
              u'20651',
              u'1429',
              u'20153',
              u'841',
              u'10641',
              u'17566',
              u'11370',
              u'17065',
              u'25698',
              u'10332',
              u'2876',
              u'9395',
              u'3069',
              u'11569',
              u'27186',
              u'5508',
              u'15208',
              u'10241',
              u'22510',
              u'12959',
              u'6745',
              u'28523',
              u'7662',
              u'14860',
              u'23058',
              u'19929',
              u'1151',
              u'21675',
              u'20482',
              u'22347',
              u'14520',
              u'6369',
              u'2983',
              u'26217',
              u'15981',
              u'24075',
              u'6352',
              u'10165',
              u'23107',
              u'28679',
              u'29164',
              u'12130',
              u'10385',
              u'16320',
              u'6855',
              u'3157',
              u'9976',
              u'20010',
              u'26209',
              u'12308',
              u'10006',
              u'29372',
              u'23902',
              u'23808',
              u'26833',
              u'25185',
              u'6830',
              u'20301',
              u'15341',
              u'17115',
              u'6264',
              u'27226',
              u'10909',
              u'25513',
              u'23126',
              u'18499',
              u'5542',
              u'5076',
              u'10492',
              u'9725',
              u'11235',
              u'4504',
              u'6407',
              u'12435',
              u'17193',
              u'6737',
              u'15147',
              u'26892',
              u'14509',
              u'27275',
              u'14487',
              u'28499',
              u'12300',
              u'11813',
              u'15106',
              u'19511',
              u'4991',
              u'1346',
              u'22555',
              u'6929',
              u'19234',
              u'29516',
              u'4330',
              u'19679',
              u'210',
              u'19835',
              u'11582',
              u'2725',
              u'678',
              u'3102',
              u'19011',
              u'11282',
              u'5188',
              u'4495',
              u'15170',
              u'8027',
              u'23252',
              u'23506',
              u'20763',
              u'17386',
              u'7319',
              u'5138',
              u'5478',
              u'18613',
              u'9048',
              u'991',
              u'12505',
              u'9640',
              u'24094',
              u'2293',
              u'7974',
              u'4752',
              u'8426',
              u'12123',
              u'11447',
              u'25684',
              u'19908',
              u'22926',
              u'4267',
              u'27686',
              u'15149',
              u'13888',
              u'26097',
              u'7793',
              u'1171',
              u'17845',
              u'14747',
              u'824',
              u'8739',
              u'22477',
              u'23097',
              u'22827',
              u'13079',
              u'24131',
              u'14809',
              u'3353',
              u'23397',
              u'27856',
              u'8957',
              u'2412',
              u'7716',
              u'18850',
              u'9639',
              u'19581',
              u'28053',
              u'2934',
              u'12852',
              u'373',
              u'17132',
              u'10727',
              u'16611',
              u'5432',
              u'26819',
              u'5398',
              u'11171',
              u'25714',
              u'19921',
              u'13038',
              u'19047',
              u'2023',
              u'10038',
              u'7654',
              u'27366',
              u'6916',
              u'23141',
              u'18623',
              u'20061',
              u'6092',
              u'21979',
              u'18005',
              u'24321',
              u'9455',
              u'27778',
              u'10327',
              u'22943',
              u'15223',
              u'17075',
              u'24962',
              u'27708',
              u'8987',
              u'17304',
              u'4980',
              u'5046',
              u'21510',
              u'20221',
              u'15273',
              u'10224',
              u'20018',
              u'10648',
              u'14688',
              u'11301',
              u'23789',
              u'7766',
              u'27046',
              u'20890',
              u'27723',
              u'2466',
              u'28227',
              u'4701',
              u'4704',
              u'1100',
              u'16354',
              u'20766',
              u'1904',
              u'19360',
              u'10908',
              u'14794',
              u'1629',
              u'20151',
              u'19139',
              u'15082',
              u'15817',
              u'7845',
              u'13266',
              u'15207',
              u'21735',
              u'23977',
              u'20671',
              u'3723',
              u'13806',
              u'12077',
              u'15943',
              u'17104',
              u'6640',
              u'25831',
              u'21433',
              u'11860',
              u'22434',
              u'25635',
              u'21056',
              u'17095',
              u'18401',
              u'23151',
              u'5512',
              u'27652',
              u'28670',
              u'10951',
              u'28470',
              u'23013',
              u'4041',
              u'18368',
              u'7475',
              u'24436',
              u'3210',
              u'29595',
              u'1270',
              u'1285',
              u'1325',
              u'16519',
              u'7029',
              u'3025',
              u'6414',
              u'12235',
              u'18904',
              u'19909',
              u'20695',
              u'28776',
              u'109',
              u'5681',
              u'17795',
              u'7076',
              u'27731',
              u'28756',
              u'4861',
              u'4033',
              u'1407',
              u'914',
              u'27697',
              u'24788',
              u'26257',
              u'27466',
              u'15405',
              u'25382',
              u'27889',
              u'28848',
              u'8178',
              u'2661',
              u'1451',
              u'2072',
              u'28644',
              u'22530',
              u'8896',
              u'1980',
              u'24126',
              u'4817',
              u'6441',
              u'20615',
              u'2318',
              u'16818',
              u'27590',
              u'735',
              u'7905',
              u'10311',
              u'27232',
              u'1704',
              u'24723',
              u'9888',
              u'10020',
              u'23641',
              u'29057',
              u'24569',
              u'9328',
              u'17838',
              u'26700',
              u'20001',
              u'22642',
              u'16918',
              u'17638',
              u'6226',
              u'11783',
              u'23889',
              u'4418',
              u'6010',
              u'5336',
              u'5688',
              u'2330',
              u'2135',
              u'12882',
              u'5393',
              u'14918',
              u'13953',
              u'17135',
              u'11323',
              u'22483',
              u'11071',
              u'9804',
              u'2796',
              u'22369',
              u'28987',
              u'16133',
              u'1054',
              u'5326',
              u'26574',
              u'25311',
              u'13272',
              u'9780',
              u'28071',
              u'14365',
              u'13977',
              u'29072'],
             4: [u'16300',
              u'18778',
              u'29026',
              u'8787',
              u'19086',
              u'18357',
              u'18456',
              u'18327',
              u'24800',
              u'1207',
              u'21489',
              u'4674',
              u'14610',
              u'14047',
              u'14336',
              u'3870',
              u'17361',
              u'20002',
              u'873',
              u'29229',
              u'26623',
              u'5864',
              u'16',
              u'23349',
              u'24252',
              u'18086',
              u'12418',
              u'11284',
              u'24778',
              u'21929',
              u'13873',
              u'17154',
              u'6871',
              u'7742',
              u'13852',
              u'18814',
              u'2546',
              u'74',
              u'24558',
              u'27845',
              u'1969',
              u'10702',
              u'21214',
              u'1137',
              u'28874',
              u'27894',
              u'25770',
              u'17143',
              u'13904',
              u'19936',
              u'24158',
              u'1122',
              u'1943',
              u'18770',
              u'13309',
              u'19488',
              u'2152',
              u'7908',
              u'12406',
              u'6035',
              u'22593',
              u'3763',
              u'488',
              u'22539',
              u'271',
              u'20772',
              u'1624',
              u'19625',
              u'24476',
              u'7294',
              u'27902',
              u'23755',
              u'6471',
              u'28029',
              u'7705',
              u'19859',
              u'27587',
              u'17996',
              u'16556',
              u'17751',
              u'13127',
              u'28388',
              u'16091',
              u'18142',
              u'4510',
              u'24469',
              u'16502',
              u'865',
              u'28333',
              u'10660',
              u'22923',
              u'26926',
              u'13034',
              u'27906',
              u'24069',
              u'20961',
              u'22079',
              u'24124',
              u'27253',
              u'8120',
              u'3867',
              u'557',
              u'19305',
              u'16246',
              u'5292',
              u'12366',
              u'11343',
              u'16612',
              u'9127',
              u'1382',
              u'6887',
              u'18309',
              u'10952',
              u'18396',
              u'11197',
              u'13035',
              u'22841',
              u'26969',
              u'15169',
              u'6625',
              u'21978',
              u'26314',
              u'26874',
              u'4077',
              u'13781',
              u'17978',
              u'19753',
              u'28288',
              u'23136',
              u'19719',
              u'24819',
              u'14822',
              u'12047',
              u'23169',
              u'15561',
              u'29350',
              u'7464',
              u'19920',
              u'26945',
              u'23177',
              u'27147',
              u'13109',
              u'11971',
              u'15369',
              u'6804',
              u'24231',
              u'17199',
              u'21531',
              u'19156',
              u'27342',
              u'2324',
              u'16735',
              u'28603',
              u'29573',
              u'11560',
              u'28255',
              u'16839',
              u'12163',
              u'3619',
              u'8622',
              u'602',
              u'1789',
              u'1811',
              u'3328',
              u'5580',
              u'28875',
              u'19789',
              u'16662',
              u'19492',
              u'6650',
              u'17184',
              u'24474',
              u'2572',
              u'3811',
              u'16730',
              u'13940',
              u'24280',
              u'2749',
              u'19528',
              u'12116',
              u'413',
              u'20797',
              u'25806',
              u'973',
              u'3363',
              u'8397',
              u'4879',
              u'5949',
              u'20011',
              u'27942',
              u'8188',
              u'26179',
              u'9029',
              u'24057',
              u'20807',
              u'12514',
              u'8898',
              u'12216',
              u'15418',
              u'13658',
              u'27037',
              u'13840',
              u'19193',
              u'855',
              u'7230',
              u'6278',
              u'21798',
              u'15260',
              u'29404',
              u'1833',
              u'23068',
              u'11088',
              u'26395',
              u'27291',
              u'23142',
              u'27964',
              u'21436',
              u'16080',
              u'9691',
              u'21257',
              u'28222',
              u'28202',
              u'19506',
              u'13696',
              u'22622',
              u'20144',
              u'18652',
              u'16493',
              u'6715',
              u'3953',
              u'27898',
              u'4836',
              u'15768',
              u'9613',
              u'19472',
              u'27993',
              u'26252',
              u'6032',
              u'2274',
              u'11884',
              u'16508',
              u'17959',
              u'22188',
              u'5501',
              u'3063',
              u'20950',
              u'28412',
              u'311',
              u'5014',
              u'4492',
              u'6498',
              u'16590',
              u'28154',
              u'12913',
              u'12905',
              u'27462',
              u'13323',
              u'10810',
              u'17834',
              u'13125',
              u'4746',
              u'23458',
              u'22046',
              u'8748',
              u'11134',
              u'17012',
              u'3057',
              u'19228',
              u'20397',
              u'24434',
              u'28478',
              u'25236',
              u'8965',
              u'4400',
              u'20942',
              u'6882',
              u'2485',
              u'7168',
              u'26242',
              u'16047',
              u'5265',
              u'12017',
              u'11172',
              u'11991',
              u'6809',
              u'16338',
              u'1292',
              u'463',
              u'3607',
              u'8474',
              u'9541',
              u'25018',
              u'16532',
              u'2915',
              u'18116',
              u'1532',
              u'22696',
              u'20908',
              u'7166',
              u'23796',
              u'10341',
              u'28195',
              u'26468',
              u'7870',
              u'25453',
              u'2314',
              u'19052',
              u'2863',
              u'20872',
              u'5664',
              u'19608',
              u'7422',
              u'8677',
              u'26429',
              u'17073',
              u'12289',
              u'8750',
              u'4429',
              u'13859',
              u'3104',
              u'4208',
              u'15784',
              u'18924',
              u'21315',
              u'19110',
              u'7678',
              u'928',
              u'6306',
              u'26636',
              u'21471',
              u'9898',
              u'21481',
              u'5412',
              u'23636',
              u'17577',
              u'29232',
              u'7417',
              u'12864',
              u'5960',
              u'4403',
              u'20646',
              u'20368',
              u'24363',
              u'12075',
              u'257',
              u'17514',
              u'21473',
              u'4100',
              u'27767',
              u'10847',
              u'18715',
              u'6928',
              u'1633',
              u'21059',
              u'20951',
              u'16546',
              u'29495',
              u'4332',
              u'10113',
              u'11711',
              u'525',
              u'20278',
              u'27632',
              u'12932',
              u'10877',
              u'16302',
              u'14666',
              u'726',
              u'17781',
              u'22771',
              u'8083',
              u'14855',
              u'11558',
              u'26975',
              u'7456',
              u'24095',
              u'20668',
              u'8843',
              u'7233',
              u'6497',
              u'11202',
              u'5784',
              u'18962',
              u'7189',
              u'744',
              u'21523',
              u'12304',
              u'28664',
              u'3052',
              u'27180',
              u'11489',
              u'27956',
              u'18812',
              u'13347',
              u'5258',
              u'10340',
              u'3178',
              u'2334',
              u'6827',
              u'17292',
              u'19906',
              u'17431',
              u'1439',
              u'24856',
              u'4723',
              u'16031',
              u'19171',
              u'17567',
              u'17024',
              u'15888',
              u'616',
              u'8175',
              u'7684',
              u'28392',
              u'23344',
              u'16147',
              u'20054',
              u'20173',
              u'23341',
              u'26985',
              u'894',
              u'1029',
              u'1250',
              u'8539',
              u'16864',
              u'24968',
              u'8126',
              u'942',
              u'24449',
              u'5672',
              u'19117',
              u'12935',
              u'533',
              u'7226',
              u'27994',
              u'26244',
              u'15780',
              u'15038',
              u'4682',
              u'22311',
              u'11074',
              u'22631',
              u'18461',
              u'17573',
              u'5504',
              u'13874',
              u'2663',
              u'5104',
              u'752',
              u'5093',
              u'16416',
              u'3458',
              u'410',
              u'18848',
              u'29278',
              u'27583',
              u'20857',
              u'21469',
              u'20323',
              u'15872',
              u'12054',
              u'24086',
              u'19160',
              u'24515',
              u'4328',
              u'22358',
              u'26891',
              u'26627',
              u'22596',
              u'19606',
              u'15698',
              u'23634',
              u'11219',
              u'22963',
              u'28860',
              u'20616',
              u'12500',
              u'28406',
              u'9822',
              u'21545',
              u'4355',
              u'17740',
              u'29083',
              u'12739',
              u'674',
              u'3682',
              u'4776',
              u'10978',
              u'10379',
              u'18290',
              u'12799',
              u'27061',
              u'16959',
              u'12553',
              u'6758',
              u'28302',
              u'22624',
              u'25102',
              u'14423'],
             5: [u'16033',
              u'7727',
              u'20955',
              u'23573',
              u'24737',
              u'642',
              u'12476',
              u'29468',
              u'7033',
              u'24440',
              u'5299',
              u'3107',
              u'11339',
              u'22847',
              u'21593',
              u'1339',
              u'3437',
              u'26589',
              u'9325',
              u'558',
              u'21584',
              u'9817',
              u'13170',
              u'28101',
              u'2225',
              u'18996',
              u'6454',
              u'27326',
              u'27571',
              u'13725',
              u'14924',
              u'11987',
              u'2250',
              u'9495',
              u'26564',
              u'28266',
              u'3468',
              u'20548',
              u'12730',
              u'25242',
              u'10322',
              u'14569',
              u'19975',
              u'9586',
              u'2959',
              u'29155',
              u'6580',
              u'23247',
              u'19164',
              u'21854',
              u'26334',
              u'9473',
              u'18500',
              u'16197',
              u'4294',
              u'14276',
              u'10856',
              u'7290',
              u'21328',
              u'7944',
              u'1585',
              u'27411',
              u'11444',
              u'10632',
              u'26834',
              u'21458',
              u'9273',
              u'21098',
              u'573',
              u'17403',
              u'18784',
              u'27338',
              u'975',
              u'13777',
              u'29007',
              u'2052',
              u'20113',
              u'15353',
              u'9141',
              u'19450',
              u'24432',
              u'28244',
              u'26394',
              u'29568',
              u'25202',
              u'12340',
              u'24053',
              u'9003',
              u'17724',
              u'11826',
              u'9297',
              u'28417',
              u'21490',
              u'22859',
              u'25649',
              u'11559',
              u'18606',
              u'26965',
              u'16517',
              u'19977',
              u'18817',
              u'2433',
              u'26498',
              u'5167',
              u'18662',
              u'7556',
              u'26353',
              u'16299',
              u'16345',
              u'7261',
              u'18966',
              u'26483',
              u'20163',
              u'26925',
              u'380',
              u'2182',
              u'0',
              u'27495',
              u'28111',
              u'12033',
              u'6261',
              u'22732',
              u'20324',
              u'11115',
              u'26032',
              u'21092',
              u'23982',
              u'6379',
              u'14340',
              u'6690',
              u'15392',
              u'27354',
              u'2059',
              u'8131',
              u'19331',
              u'156',
              u'7445',
              u'6211',
              u'6983',
              u'1093',
              u'5500',
              u'7759',
              u'28725',
              u'11418',
              u'15475',
              u'4394',
              u'2029',
              u'16064',
              u'1953',
              u'17311',
              u'23946',
              u'13333',
              u'18003',
              u'21008',
              u'27721',
              u'11067',
              u'7391',
              u'24669',
              u'13680',
              u'4417',
              u'10848',
              u'11325',
              u'2953',
              u'4931',
              u'3794',
              u'29060',
              u'8553',
              u'16942',
              u'14566',
              u'3859',
              u'15557',
              u'26732',
              u'29484',
              u'22956',
              u'24586',
              u'13389',
              u'6290',
              u'19891',
              u'15688',
              u'8495',
              u'25144',
              u'20831',
              u'17809',
              u'17732',
              u'29175',
              u'18759',
              u'22535',
              u'10347',
              u'9201',
              u'18138',
              u'12912',
              u'4219',
              u'17941',
              u'19754',
              u'9519',
              u'11698',
              u'6677',
              u'8442',
              u'7248',
              u'3479',
              u'154',
              u'28159',
              u'27107',
              u'4744',
              u'5803',
              u'15990',
              u'20594',
              u'24138',
              u'14567',
              u'27785',
              u'23134',
              u'16105',
              u'5958',
              u'2581',
              u'11108',
              u'23906',
              u'10372',
              u'19841',
              u'5341',
              u'5482',
              u'1099',
              u'26296',
              u'15171',
              u'11556',
              u'17572',
              u'5875',
              u'23767',
              u'19085',
              u'5847',
              u'25918',
              u'28501',
              u'10490',
              u'2186',
              u'8205',
              u'27737',
              u'18341',
              u'3074',
              u'8255',
              u'517',
              u'17541'],
             6: [u'9404',
              u'5660',
              u'20982',
              u'21896',
              u'5409',
              u'16172',
              u'31',
              u'1600',
              u'3884',
              u'12243',
              u'12233',
              u'23498',
              u'15779',
              u'27566',
              u'21625',
              u'14115',
              u'16164',
              u'20308',
              u'19592',
              u'26701',
              u'21434',
              u'28961',
              u'10009',
              u'12358',
              u'2537',
              u'12567',
              u'13192',
              u'3269',
              u'28790',
              u'14507',
              u'16022',
              u'4906',
              u'7040',
              u'17985',
              u'16043',
              u'29064',
              u'4435',
              u'2795',
              u'11570',
              u'584',
              u'26215',
              u'11785',
              u'14521',
              u'25574',
              u'23160',
              u'10002',
              u'8745',
              u'5966',
              u'3862',
              u'17608',
              u'1950',
              u'23131',
              u'2627',
              u'18809',
              u'27468',
              u'23651',
              u'12481',
              u'2040',
              u'3986',
              u'20549',
              u'15545',
              u'527',
              u'9077',
              u'4140',
              u'30',
              u'1333',
              u'3654',
              u'12442',
              u'19686',
              u'23825',
              u'21299',
              u'19737',
              u'15753',
              u'29425',
              u'10167',
              u'6555',
              u'25583',
              u'6197',
              u'1937',
              u'6945',
              u'8905',
              u'14082',
              u'8861',
              u'9108',
              u'21318',
              u'17274',
              u'29398',
              u'8735',
              u'7057',
              u'18148',
              u'4505',
              u'4913',
              u'9038',
              u'14415',
              u'12594',
              u'26232',
              u'24161',
              u'3720',
              u'17173',
              u'29435',
              u'6806',
              u'4598',
              u'17302',
              u'29110',
              u'25889',
              u'3699',
              u'6592',
              u'16267',
              u'13069',
              u'6027',
              u'26122',
              u'7172',
              u'18339',
              u'9331',
              u'17864',
              u'23357',
              u'8700',
              u'24501',
              u'15197',
              u'25538',
              u'14702',
              u'25436',
              u'14969',
              u'28473',
              u'3155',
              u'12128',
              u'15312',
              u'19126',
              u'17338',
              u'2944',
              u'23655',
              u'29423',
              u'22883',
              u'19254',
              u'7091',
              u'18671',
              u'16667',
              u'14169',
              u'23313',
              u'10559',
              u'18729',
              u'520',
              u'25959',
              u'20913',
              u'13332',
              u'22712',
              u'437',
              u'8914',
              u'24042',
              u'11148',
              u'9635',
              u'26524',
              u'18002',
              u'23564',
              u'26940',
              u'717',
              u'25367',
              u'7394',
              u'24956',
              u'1120',
              u'15264',
              u'14069',
              u'17589',
              u'18205',
              u'2084',
              u'23482',
              u'6833',
              u'2132',
              u'21804',
              u'24585',
              u'8617',
              u'8596',
              u'26117',
              u'6619',
              u'23803',
              u'28606',
              u'26606',
              u'14258',
              u'11016',
              u'13848',
              u'4717',
              u'25495',
              u'9849',
              u'22239',
              u'25304',
              u'6589',
              u'22027',
              u'16310',
              u'20431',
              u'12751',
              u'29246',
              u'11508',
              u'6848',
              u'4740',
              u'18710',
              u'23656',
              u'17295',
              u'14177',
              u'6911',
              u'4168',
              u'3491',
              u'21759',
              u'2388',
              u'5834',
              u'19226',
              u'19211',
              u'3083',
              u'29268',
              u'1258',
              u'18280',
              u'29068',
              u'25127',
              u'17559',
              u'18760',
              u'3795',
              u'2039',
              u'1653',
              u'6139',
              u'13557',
              u'7369',
              u'8662',
              u'2229',
              u'7444',
              u'2640',
              u'21320',
              u'5808',
              u'19328',
              u'21101',
              u'2295',
              u'1835',
              u'17277',
              u'8829',
              u'16140'],
             7: [u'28607',
              u'22772',
              u'12569',
              u'2601',
              u'6915',
              u'242',
              u'12848',
              u'9159',
              u'2162',
              u'22608',
              u'27163',
              u'25429',
              u'7108',
              u'6177',
              u'8773',
              u'16219',
              u'27196',
              u'29588',
              u'20884',
              u'23014',
              u'5638',
              u'2567',
              u'694',
              u'2283',
              u'10895',
              u'22875',
              u'27626',
              u'17092',
              u'24173',
              u'19792',
              u'11798',
              u'20466',
              u'19199',
              u'11710',
              u'10808',
              u'22918',
              u'22807',
              u'6815',
              u'17883',
              u'22342',
              u'5215',
              u'27358',
              u'16412',
              u'16547',
              u'23677',
              u'19309',
              u'10927',
              u'12580',
              u'19351',
              u'6863',
              u'20785',
              u'17206',
              u'8171',
              u'978',
              u'24760',
              u'19557',
              u'28238',
              u'26549',
              u'24618',
              u'14448',
              u'1686',
              u'10754',
              u'26555',
              u'17927',
              u'26596',
              u'18629',
              u'22541',
              u'18508',
              u'28168',
              u'1763',
              u'1650',
              u'20136',
              u'18080',
              u'20911',
              u'28157',
              u'1919',
              u'6609',
              u'16083',
              u'23664',
              u'14199',
              u'8519',
              u'13575',
              u'12029',
              u'9043',
              u'7541',
              u'29406',
              u'3310',
              u'9364',
              u'844',
              u'19883',
              u'28011',
              u'16271',
              u'15364',
              u'19300',
              u'22438',
              u'14585',
              u'10022',
              u'5577',
              u'12859',
              u'7052',
              u'2210',
              u'17171',
              u'5896',
              u'24538',
              u'26104',
              u'17904',
              u'11611',
              u'28144',
              u'27233',
              u'19288',
              u'28646',
              u'28908',
              u'14034',
              u'2362',
              u'19138',
              u'15301',
              u'4818',
              u'9417',
              u'14006',
              u'16180',
              u'5750',
              u'12318',
              u'7280',
              u'14053',
              u'9948',
              u'24222',
              u'1804',
              u'4615',
              u'21954',
              u'22010',
              u'28017',
              u'25829',
              u'18059',
              u'1643',
              u'8991',
              u'12516',
              u'13432',
              u'7221',
              u'29250',
              u'23739',
              u'28078',
              u'5699',
              u'29452',
              u'16157',
              u'14947',
              u'17701',
              u'15108',
              u'24804',
              u'224',
              u'14783',
              u'11685',
              u'1570',
              u'26984',
              u'14449',
              u'16199',
              u'9879',
              u'20943',
              u'3397',
              u'25273',
              u'4288',
              u'25024',
              u'15683',
              u'22946',
              u'15118',
              u'3686',
              u'23765',
              u'22354',
              u'23015',
              u'23965',
              u'21835',
              u'22060',
              u'18594',
              u'15276',
              u'26285',
              u'16355',
              u'27204',
              u'21721',
              u'16049',
              u'27825',
              u'12842',
              u'17167',
              u'3097',
              u'24520',
              u'6511',
              u'20903',
              u'13226',
              u'7588',
              u'28241',
              u'2967',
              u'12832',
              u'17488',
              u'1711',
              u'21462',
              u'13417',
              u'18319',
              u'7292',
              u'7460',
              u'24872',
              u'21729',
              u'5771',
              u'21646',
              u'27772',
              u'24943',
              u'14712',
              u'20623',
              u'23291',
              u'27241',
              u'7412',
              u'21882',
              u'3072',
              u'26071',
              u'13746',
              u'22586',
              u'20818',
              u'25921',
              u'8258',
              u'18429',
              u'18956',
              u'23665',
              u'12712',
              u'6368',
              u'27036',
              u'5604',
              u'24468',
              u'24179',
              u'21803',
              u'5129',
              u'25055',
              u'19607',
              u'26369',
              u'7323',
              u'24689',
              u'2245',
              u'14227',
              u'22919',
              u'24855',
              u'19419',
              u'3044',
              u'13516',
              u'17089',
              u'12159',
              u'10275',
              u'2209',
              u'27359',
              u'7022',
              u'4692',
              u'23839',
              u'9550',
              u'13027',
              u'22125',
              u'14161',
              u'29386',
              u'11365',
              u'9852',
              u'14845',
              u'15216',
              u'18135',
              u'28927',
              u'8930',
              u'23904',
              u'18307',
              u'23862',
              u'16259',
              u'2012',
              u'11313',
              u'12603',
              u'9430',
              u'9599',
              u'25353',
              u'24397',
              u'20380',
              u'16895',
              u'14468',
              u'18685',
              u'17674',
              u'2925',
              u'8813',
              u'649',
              u'12619',
              u'12573',
              u'24415',
              u'11215',
              u'10863',
              u'19233',
              u'28434',
              u'27324',
              u'23304',
              u'16337',
              u'22364',
              u'20849',
              u'314',
              u'9070',
              u'11606',
              u'11002',
              u'15610',
              u'3196',
              u'22540',
              u'680',
              u'9924'],
             8: [u'27677',
              u'28234',
              u'20503',
              u'20799',
              u'8624',
              u'951',
              u'4245',
              u'19590',
              u'14348',
              u'16403',
              u'467',
              u'15661',
              u'8341',
              u'1867',
              u'23986',
              u'13700',
              u'13321',
              u'16276',
              u'16195',
              u'21889',
              u'24172',
              u'17034',
              u'7068',
              u'9279',
              u'8498',
              u'14359',
              u'20020',
              u'8582',
              u'20688',
              u'15660',
              u'13869',
              u'28611',
              u'8765',
              u'1035',
              u'14479',
              u'7303',
              u'4120',
              u'9441',
              u'7577',
              u'3506',
              u'5730',
              u'20561',
              u'22743',
              u'3969',
              u'20309',
              u'16216',
              u'22148',
              u'4625',
              u'19302',
              u'6661',
              u'19886',
              u'16569',
              u'3797',
              u'1273',
              u'6969',
              u'27251',
              u'7591',
              u'22876',
              u'25229',
              u'19405',
              u'16594',
              u'3325',
              u'2516',
              u'4386',
              u'22187',
              u'4020',
              u'13362',
              u'6543',
              u'18372',
              u'2328',
              u'14208',
              u'2851',
              u'15389',
              u'7440',
              u'20325',
              u'14925',
              u'16270',
              u'9285',
              u'7589',
              u'28982',
              u'6611',
              u'8468',
              u'364',
              u'25723',
              u'1049',
              u'17656',
              u'12020',
              u'2593',
              u'19363',
              u'1599',
              u'14133',
              u'20714',
              u'18865',
              u'26141',
              u'25016',
              u'15026',
              u'11496',
              u'2480',
              u'26356',
              u'10539',
              u'17464',
              u'21321',
              u'4225',
              u'27881',
              u'22792',
              u'20344',
              u'28588',
              u'13353',
              u'1142',
              u'2693',
              u'27',
              u'17637',
              u'6445',
              u'3776',
              u'17105',
              u'26898',
              u'9568',
              u'6853',
              u'17894',
              u'22834',
              u'27307',
              u'17203',
              u'5255',
              u'27379',
              u'24753',
              u'23422',
              u'22367',
              u'4002',
              u'20604',
              u'1825',
              u'28123',
              u'25070',
              u'5232',
              u'22655',
              u'20744',
              u'14705',
              u'5473',
              u'2432',
              u'1306',
              u'10911',
              u'4176',
              u'6994',
              u'12272',
              u'3750',
              u'3319',
              u'28749',
              u'25192',
              u'9601',
              u'25356',
              u'9359',
              u'10678',
              u'13336',
              u'11091',
              u'12841',
              u'483',
              u'11932',
              u'11280',
              u'1262',
              u'23212',
              u'16454',
              u'12937',
              u'1489',
              u'28297',
              u'24898',
              u'9311',
              u'2583',
              u'2063',
              u'13966',
              u'213',
              u'25386',
              u'19058',
              u'4202',
              u'27946',
              u'23773',
              u'15344',
              u'171',
              u'1178',
              u'22471',
              u'23398',
              u'6851',
              u'22172',
              u'2584',
              u'7035',
              u'23227',
              u'23139',
              u'23253',
              u'1081',
              u'6976',
              u'12275',
              u'21693',
              u'20208',
              u'27599',
              u'10431',
              u'12737',
              u'13433',
              u'22212',
              u'5174',
              u'4324',
              u'12729',
              u'3751',
              u'19538',
              u'24616',
              u'15977',
              u'16034',
              u'9551',
              u'21860',
              u'18140',
              u'17494',
              u'28016',
              u'4920',
              u'24948',
              u'11116',
              u'26304',
              u'24702',
              u'27507',
              u'3359',
              u'4523',
              u'6744',
              u'2745',
              u'18223',
              u'23718',
              u'28990',
              u'24453',
              u'8509',
              u'20245',
              u'27426',
              u'783',
              u'21023',
              u'18641',
              u'14911',
              u'1494',
              u'15386',
              u'458',
              u'16620',
              u'16378',
              u'6494',
              u'21526',
              u'16478',
              u'23230',
              u'10119',
              u'21112',
              u'6777',
              u'6912',
              u'6377',
              u'14076',
              u'12902',
              u'23806',
              u'10807',
              u'16829',
              u'1459',
              u'18095',
              u'26365',
              u'20652',
              u'8832',
              u'25884',
              u'2502',
              u'3332',
              u'26435',
              u'8889',
              u'4870',
              u'1167',
              u'1445',
              u'3279',
              u'23650',
              u'2121',
              u'2505',
              u'9098',
              u'1641',
              u'9044',
              u'16040',
              u'3738',
              u'7081',
              u'5173',
              u'4745',
              u'11431',
              u'13488',
              u'11363',
              u'12379',
              u'7320',
              u'19435',
              u'14713',
              u'9521',
              u'22820',
              u'1234',
              u'2313',
              u'17575',
              u'29085',
              u'26182',
              u'10644',
              u'19178',
              u'6805',
              u'12561',
              u'13752',
              u'3297',
              u'23433',
              u'28308',
              u'20383',
              u'27171',
              u'15476',
              u'23413',
              u'23193',
              u'14812',
              u'4767',
              u'24027',
              u'245',
              u'27156',
              u'19209',
              u'5986',
              u'9033',
              u'13567',
              u'12972',
              u'4227',
              u'7769',
              u'771',
              u'9398',
              u'21085',
              u'12998',
              u'25631',
              u'22818',
              u'25814',
              u'20096',
              u'6187',
              u'21542',
              u'4213',
              u'10334',
              u'8860',
              u'22904',
              u'6451',
              u'17189',
              u'17209',
              u'20298',
              u'8232',
              u'21287',
              u'19451',
              u'20388',
              u'3112',
              u'23976',
              u'29209',
              u'16115',
              u'17733',
              u'2377',
              u'11954',
              u'10159',
              u'22039',
              u'26197',
              u'2724',
              u'6904',
              u'18144',
              u'16399',
              u'10126',
              u'18614',
              u'14815',
              u'16069',
              u'18857',
              u'8980',
              u'13228',
              u'25502',
              u'12446',
              u'13741',
              u'10875',
              u'18620',
              u'7192',
              u'3393',
              u'23710',
              u'27840',
              u'9800',
              u'11364',
              u'2235',
              u'3271',
              u'7767',
              u'24608',
              u'3603',
              u'1160',
              u'29094',
              u'5816',
              u'2323',
              u'2654',
              u'4627',
              u'17289',
              u'11949',
              u'23980',
              u'7244',
              u'17522',
              u'11285',
              u'18203',
              u'13527',
              u'15508',
              u'16810',
              u'19474',
              u'28276',
              u'9719',
              u'23794',
              u'8817',
              u'15105',
              u'7036',
              u'26450',
              u'21285',
              u'727',
              u'13479',
              u'18226',
              u'5230',
              u'18162',
              u'547',
              u'5952',
              u'3501',
              u'22201',
              u'26778',
              u'1053',
              u'10174',
              u'15348',
              u'13883',
              u'8574',
              u'12480',
              u'10905',
              u'19519',
              u'29490',
              u'11020',
              u'28832',
              u'2759',
              u'23544',
              u'22677',
              u'24373',
              u'65',
              u'24225',
              u'9338',
              u'4794',
              u'9872',
              u'7996',
              u'25696',
              u'24109',
              u'23984',
              u'20733',
              u'17221',
              u'15800',
              u'8565',
              u'8192',
              u'4521',
              u'3690',
              u'21905',
              u'7927',
              u'11626',
              u'19995',
              u'10181',
              u'8057',
              u'3920',
              u'21450',
              u'6514',
              u'7136',
              u'10072',
              u'4726',
              u'8302',
              u'13463',
              u'27546',
              u'626',
              u'7439',
              u'5365',
              u'26041',
              u'7644',
              u'25825',
              u'15191',
              u'9281',
              u'3253',
              u'17382',
              u'5360',
              u'22694',
              u'4953',
              u'29483',
              u'26359',
              u'24263',
              u'2810',
              u'26279',
              u'4241',
              u'11765',
              u'5213',
              u'26773',
              u'25255',
              u'732',
              u'22250',
              u'15452',
              u'25648',
              u'13097',
              u'19887',
              u'571',
              u'26389',
              u'15288',
              u'20878',
              u'25',
              u'16460',
              u'15967',
              u'28331',
              u'16860',
              u'24162',
              u'25850',
              u'9558'],
             9: [u'6731',
              u'12168',
              u'23409',
              u'5024',
              u'10050',
              u'19087',
              u'2382',
              u'8308',
              u'14219',
              u'15412',
              u'23083',
              u'17031',
              u'22454',
              u'9412',
              u'538',
              u'2923',
              u'4340',
              u'14951',
              u'23568',
              u'13577',
              u'27365',
              u'28712',
              u'21529',
              u'3421',
              u'22628',
              u'3816',
              u'28309',
              u'23669',
              u'28292',
              u'27662',
              u'9633',
              u'12319',
              u'2699',
              u'18928',
              u'6210',
              u'26734',
              u'2363',
              u'2702',
              u'18093',
              u'17898',
              u'4960',
              u'4747',
              u'28490',
              u'1699',
              u'28383',
              u'3518',
              u'7599',
              u'4784',
              u'10690',
              u'4395',
              u'27176',
              u'1233',
              u'14646',
              u'28073',
              u'21824',
              u'10968',
              u'19487',
              u'17902',
              u'22999',
              u'3813',
              u'20390',
              u'14356',
              u'755',
              u'10711',
              u'20115',
              u'4472',
              u'3992',
              u'24821',
              u'302',
              u'24004',
              u'842',
              u'15681',
              u'8435',
              u'29536',
              u'7392',
              u'13',
              u'19748',
              u'20887',
              u'20156',
              u'21024',
              u'4233',
              u'2877',
              u'3766',
              u'24210',
              u'23337',
              u'8366',
              u'2181',
              u'18899',
              u'27887',
              u'162',
              u'24836',
              u'13422',
              u'27449',
              u'18342',
              u'11596',
              u'117',
              u'863',
              u'2509',
              u'20361',
              u'26153',
              u'28989',
              u'8514',
              u'13599',
              u'21892',
              u'17966',
              u'22577',
              u'22718',
              u'13159',
              u'23494',
              u'26218',
              u'20262',
              u'193',
              u'3634',
              u'23759',
              u'10225',
              u'29539',
              u'12627',
              u'16221',
              u'17717',
              u'14560',
              u'4271',
              u'14689',
              u'1620',
              u'11895',
              u'4489',
              u'5376',
              u'17290',
              u'6705',
              u'23022',
              u'22778',
              u'14281',
              u'19167',
              u'19939',
              u'8107',
              u'20886',
              u'125',
              u'2426',
              u'19109',
              u'13515',
              u'27707',
              u'19571',
              u'22374',
              u'15447',
              u'13718',
              u'28377',
              u'29533',
              u'20288',
              u'23813',
              u'20186',
              u'9014',
              u'10199',
              u'24178',
              u'6229',
              u'12777',
              u'8407',
              u'13970',
              u'18961',
              u'2776',
              u'10145',
              u'25440',
              u'5849',
              u'24556',
              u'21037',
              u'26305',
              u'20808',
              u'22017',
              u'27213',
              u'25948',
              u'28599',
              u'16778',
              u'24552',
              u'24513',
              u'16498',
              u'7994',
              u'26342',
              u'3958',
              u'15520',
              u'15491',
              u'19287',
              u'15732',
              u'14653',
              u'27514',
              u'11063',
              u'13408',
              u'10581',
              u'26352',
              u'12656',
              u'5530',
              u'12876',
              u'6011',
              u'15707',
              u'3792',
              u'26537',
              u'10772',
              u'17885',
              u'16167',
              u'29475',
              u'28422',
              u'18022',
              u'8722',
              u'710',
              u'26284',
              u'7568',
              u'10584',
              u'19746',
              u'11764',
              u'61',
              u'8176',
              u'15921',
              u'18712',
              u'5582',
              u'18239',
              u'25756',
              u'20416',
              u'20377',
              u'17116',
              u'26763',
              u'9207',
              u'2782',
              u'12540',
              u'19874',
              u'10827',
              u'29191',
              u'24706',
              u'17681',
              u'28885',
              u'17074',
              u'24233',
              u'27931'],
             10: [u'21873',
              u'18520',
              u'12769',
              u'28353',
              u'7356',
              u'23602',
              u'14856',
              u'13191',
              u'11205',
              u'9342',
              u'28747',
              u'10560',
              u'16710',
              u'8554',
              u'24396',
              u'2524',
              u'8575',
              u'734',
              u'8953',
              u'26590',
              u'7806',
              u'20286',
              u'8897',
              u'20378',
              u'23',
              u'10502',
              u'21002',
              u'8798',
              u'24731',
              u'14358',
              u'6977',
              u'6094',
              u'10798',
              u'16628',
              u'15929',
              u'23274',
              u'14057',
              u'20722',
              u'19751',
              u'880',
              u'8746',
              u'22137',
              u'10797',
              u'8937',
              u'22305',
              u'8510',
              u'6791',
              u'2390',
              u'15623',
              u'862',
              u'7284',
              u'11976',
              u'5395',
              u'23603',
              u'10446',
              u'11953',
              u'2233',
              u'60',
              u'1144',
              u'20830',
              u'3467',
              u'17646',
              u'3620',
              u'16374',
              u'9472',
              u'16789',
              u'10228',
              u'8961',
              u'3799',
              u'23925',
              u'22248',
              u'7854',
              u'9496',
              u'11792',
              u'7605',
              u'27524',
              u'621',
              u'26073',
              u'11724',
              u'5647',
              u'19802',
              u'4171',
              u'6288',
              u'25361',
              u'29382',
              u'1978',
              u'6087',
              u'23887',
              u'25058',
              u'26790',
              u'6694',
              u'22013',
              u'20813',
              u'20085',
              u'7575',
              u'16509',
              u'6462',
              u'16071',
              u'17023',
              u'27014',
              u'3460',
              u'6641',
              u'12946',
              u'6766',
              u'13420',
              u'5759',
              u'19890',
              u'19901',
              u'27607',
              u'15527',
              u'13686',
              u'16466',
              u'8074',
              u'3925',
              u'27206',
              u'28396',
              u'27465',
              u'24602',
              u'3145',
              u'24649',
              u'26438',
              u'8301',
              u'5894',
              u'6714',
              u'16983',
              u'4070',
              u'8324',
              u'8062',
              u'14894',
              u'18639',
              u'20385',
              u'23795',
              u'24528',
              u'5524',
              u'3817',
              u'1741',
              u'10374',
              u'27187',
              u'21394',
              u'17118',
              u'28448',
              u'27108',
              u'18703',
              u'23038',
              u'8135',
              u'21167',
              u'28062',
              u'19326',
              u'20694',
              u'25952',
              u'10315',
              u'10345',
              u'14748',
              u'24656',
              u'27229',
              u'7098',
              u'1365',
              u'6850',
              u'18113',
              u'4624',
              u'14899',
              u'12404',
              u'8095',
              u'25467',
              u'21951',
              u'2024',
              u'10449',
              u'14200',
              u'7985',
              u'26000',
              u'8105',
              u'27272',
              u'14597',
              u'25071',
              u'5487',
              u'16155',
              u'26554',
              u'14816',
              u'15047',
              u'8486',
              u'16443',
              u'15231',
              u'20754',
              u'9413',
              u'10620',
              u'19443',
              u'6772',
              u'1224',
              u'27628',
              u'11358',
              u'16781',
              u'20329',
              u'16477',
              u'14606',
              u'23373',
              u'8630',
              u'15810',
              u'3846',
              u'27062',
              u'9086',
              u'15254',
              u'15538',
              u'16750',
              u'25508',
              u'14993',
              u'27730',
              u'28315',
              u'934',
              u'19867',
              u'24964',
              u'17038',
              u'6984',
              u'27849',
              u'23888',
              u'16660',
              u'19641',
              u'24392',
              u'25408',
              u'3787',
              u'16139',
              u'3944',
              u'8743',
              u'5271',
              u'27705',
              u'2393',
              u'16381',
              u'7551',
              u'21171',
              u'25280',
              u'27319',
              u'8825',
              u'2176',
              u'18153',
              u'28573',
              u'24294',
              u'9737',
              u'22747',
              u'22302',
              u'5799',
              u'4204',
              u'14586',
              u'25140',
              u'8179',
              u'17001',
              u'119',
              u'7802',
              u'14776',
              u'13076',
              u'7819',
              u'9214',
              u'23615',
              u'27752',
              u'12722',
              u'18363',
              u'16012',
              u'26782',
              u'27297',
              u'20353',
              u'17247',
              u'17907',
              u'29392',
              u'14261',
              u'15585',
              u'13019',
              u'11965',
              u'231',
              u'10710',
              u'12878',
              u'27053',
              u'19815',
              u'4738',
              u'21304',
              u'2520',
              u'13788',
              u'25357',
              u'5911',
              u'21836',
              u'11346',
              u'26311',
              u'22078',
              u'27325',
              u'27655',
              u'16376',
              u'20894',
              u'12701',
              u'4270',
              u'24416',
              u'27096',
              u'21837',
              u'560',
              u'11176',
              u'681',
              u'6682',
              u'513',
              u'3185',
              u'20775',
              u'11260',
              u'24246',
              u'10413',
              u'18176',
              u'11880',
              u'4441',
              u'21747',
              u'22885',
              u'9060',
              u'5113',
              u'9068',
              u'22253',
              u'23552',
              u'11272',
              u'29276',
              u'14681',
              u'26566',
              u'12507',
              u'17641',
              u'12632',
              u'27066',
              u'2555',
              u'24478',
              u'21832',
              u'22181',
              u'29112',
              u'29550',
              u'7545',
              u'11688',
              u'8850',
              u'24111',
              u'8623',
              u'29248',
              u'7327',
              u'24309',
              u'1774',
              u'22080',
              u'605',
              u'14050',
              u'27079',
              u'6487',
              u'21752',
              u'17967',
              u'17937',
              u'21996',
              u'8688',
              u'25911',
              u'9399',
              u'7865',
              u'28590',
              u'19738',
              u'524',
              u'15957',
              u'18457',
              u'14091',
              u'26130',
              u'16120',
              u'25279',
              u'12857',
              u'25549',
              u'27932',
              u'5281',
              u'4398',
              u'18947',
              u'8983',
              u'22659',
              u'27577',
              u'11146',
              u'15699',
              u'2457',
              u'5669',
              u'1108',
              u'8350',
              u'14608',
              u'22576',
              u'8989',
              u'15636',
              u'15692',
              u'11442',
              u'6537',
              u'18201',
              u'3725',
              u'180',
              u'6170',
              u'10074',
              u'4703',
              u'27656',
              u'8699',
              u'16010',
              u'19800',
              u'12679',
              u'27446',
              u'16550',
              u'22978',
              u'19386',
              u'3278',
              u'6793',
              u'15143',
              u'13051',
              u'13534',
              u'19562',
              u'28485',
              u'22709',
              u'9163',
              u'8508',
              u'14084',
              u'28954',
              u'26739',
              u'9802',
              u'4605',
              u'13612',
              u'25152',
              u'18846',
              u'4680',
              u'6006',
              u'6325',
              u'5383',
              u'15351',
              u'11130',
              u'16470',
              u'21935',
              u'4012',
              u'14465',
              u'15818',
              u'12132',
              u'26916',
              u'823',
              u'10544',
              u'17887',
              u'18042',
              u'10936',
              u'14611',
              u'24647',
              u'13367',
              u'14558',
              u'10257',
              u'472',
              u'24038',
              u'15716',
              u'18610',
              u'16441',
              u'9377',
              u'22138',
              u'24249',
              u'6477',
              u'802',
              u'6040',
              u'5523',
              u'10529',
              u'8276',
              u'20854',
              u'2198',
              u'20122',
              u'14139',
              u'22407',
              u'7308',
              u'9010',
              u'29056',
              u'11911',
              u'11187',
              u'2713',
              u'20243',
              u'23730',
              u'16769',
              u'12449',
              u'12056',
              u'15859',
              u'10035',
              u'18398',
              u'14322',
              u'5545',
              u'17072',
              u'29390',
              u'21534',
              u'19212',
              u'3160',
              u'22671',
              u'11815',
              u'939',
              u'28605',
              u'9475',
              u'16534',
              u'15419',
              u'26809',
              u'8277',
              u'20165',
              u'21448',
              u'26713',
              u'20556',
              u'25657',
              u'15948',
              u'17210',
              u'7502',
              u'23644',
              u'11574',
              u'26221',
              u'1473',
              u'14680',
              u'4444',
              u'14765',
              u'2928',
              u'16549',
              u'28486',
              u'4518',
              u'7635',
              u'8118',
              u'17205',
              u'1857',
              u'14950',
              u'26815',
              u'25117',
              u'18011',
              u'15649',
              u'285',
              u'20528',
              u'14743',
              u'12426',
              u'20845',
              u'21794',
              u'8194',
              u'3064',
              u'9373',
              u'22667',
              u'20493',
              u'3048',
              u'24849',
              u'4467',
              u'25451',
              u'21419',
              u'8564',
              u'18119',
              u'9826'],
             11: [u'1219',
              u'15408',
              u'5307',
              u'10077',
              u'19757',
              u'17709',
              u'5675',
              u'12211',
              u'21926',
              u'9269',
              u'17623',
              u'25225',
              u'183',
              u'2369',
              u'24229',
              u'7291',
              u'25813',
              u'21564',
              u'20283',
              u'26292',
              u'29153',
              u'24169',
              u'5418',
              u'580',
              u'19682',
              u'14529',
              u'13601',
              u'25520',
              u'21776',
              u'14787',
              u'17520',
              u'908',
              u'20939',
              u'15849',
              u'19713',
              u'23454',
              u'16317',
              u'29336',
              u'4108',
              u'27123',
              u'4320',
              u'24626',
              u'29194',
              u'8853',
              u'27858',
              u'1816',
              u'20696',
              u'13430',
              u'6348',
              u'29597',
              u'12887',
              u'10558',
              u'28554',
              u'13579',
              u'25621',
              u'12833',
              u'1021',
              u'6346',
              u'8218',
              u'8793',
              u'5778',
              u'20342',
              u'24187',
              u'23430',
              u'2501',
              u'10018',
              u'26139',
              u'28495',
              u'14164',
              u'465',
              u'27497',
              u'15037',
              u'4613',
              u'15023',
              u'28145',
              u'21385',
              u'10928',
              u'19197',
              u'9436',
              u'14191',
              u'401',
              u'2006',
              u'570',
              u'25910',
              u'22096',
              u'20644',
              u'8144',
              u'23659',
              u'319',
              u'24059',
              u'12633',
              u'5877',
              u'7455',
              u'21388',
              u'16445',
              u'16401',
              u'2871',
              u'4675',
              u'17419',
              u'18906',
              u'18278',
              u'18406',
              u'8051',
              u'28475',
              u'18031',
              u'14472',
              u'5216',
              u'22723',
              u'11992',
              u'11840',
              u'29394',
              u'19756',
              u'16389',
              u'1712',
              u'17804',
              u'23144',
              u'7406',
              u'20572',
              u'21825',
              u'23203',
              u'9754',
              u'27610',
              u'8738',
              u'10778',
              u'11075',
              u'15266',
              u'8819',
              u'20941',
              u'9911',
              u'12356',
              u'15645',
              u'13596',
              u'5933',
              u'25518',
              u'2026',
              u'21264',
              u'8868',
              u'4239',
              u'19235',
              u'1420',
              u'24693',
              u'3225',
              u'5694',
              u'24122',
              u'13556',
              u'23451',
              u'5238',
              u'19721',
              u'15597',
              u'20391',
              u'28894',
              u'24518',
              u'26363',
              u'28361',
              u'9509',
              u'27564',
              u'1706',
              u'10882',
              u'22888',
              u'13233',
              u'4282',
              u'11041',
              u'6821',
              u'12307',
              u'2086',
              u'22861',
              u'19148',
              u'9597',
              u'19621',
              u'16015',
              u'17594',
              u'3390',
              u'12861',
              u'13927',
              u'15671',
              u'5925',
              u'5038',
              u'25374',
              u'23217',
              u'937',
              u'9169',
              u'17667',
              u'11051',
              u'1320',
              u'29479',
              u'22074',
              u'29562',
              u'23369',
              u'24675',
              u'14325',
              u'14033',
              u'16253',
              u'21486',
              u'13609',
              u'482',
              u'18661',
              u'5146',
              u'8768',
              u'17607',
              u'26797',
              u'25379',
              u'20174',
              u'1582',
              u'7180',
              u'384',
              u'25656',
              u'16696',
              u'11324',
              u'10295',
              u'7500',
              u'25977',
              u'27974',
              u'27089',
              u'15381',
              u'15322',
              u'6208',
              u'9034',
              u'25580',
              u'18523',
              u'15830',
              u'15633',
              u'4969',
              u'3454',
              u'6702',
              u'8511',
              u'29563',
              u'14669',
              u'6607',
              u'22563',
              u'9921',
              u'18757',
              u'2421',
              u'20786',
              u'26056',
              u'15483',
              u'15909',
              u'6864',
              u'14525',
              u'10924',
              u'29566',
              u'27979',
              u'15304',
              u'4940',
              u'25944',
              u'836',
              u'22777',
              u'2815',
              u'17473',
              u'21157',
              u'20241',
              u'3088',
              u'12533',
              u'17583',
              u'22973',
              u'15261',
              u'27456',
              u'13522',
              u'3934',
              u'24043',
              u'3246',
              u'3039',
              u'3761',
              u'22359',
              u'8177',
              u'8070',
              u'16807',
              u'27801',
              u'18878',
              u'18734',
              u'13320',
              u'442',
              u'27857',
              u'4426',
              u'22551',
              u'23147',
              u'29078',
              u'5507',
              u'27329',
              u'25929',
              u'11891',
              u'3101',
              u'20922',
              u'5705',
              u'21544',
              u'3257',
              u'17552',
              u'9796',
              u'15539',
              u'79',
              u'2721',
              u'27638',
              u'7071',
              u'11242',
              u'18792',
              u'17579',
              u'17580',
              u'7563',
              u'5168',
              u'20520',
              u'8709',
              u'22784',
              u'22194',
              u'3710',
              u'5209',
              u'23180',
              u'7751',
              u'25391',
              u'21499',
              u'7987',
              u'4327',
              u'16731',
              u'22348',
              u'17952',
              u'6202',
              u'21650',
              u'23561',
              u'17818',
              u'10386',
              u'28020',
              u'26042',
              u'18939',
              u'15240',
              u'6150',
              u'3711',
              u'13193',
              u'9984',
              u'26850',
              u'1',
              u'20455',
              u'11589',
              u'23790',
              u'20050',
              u'828',
              u'19596',
              u'28228',
              u'27842',
              u'26787',
              u'27261',
              u'3822',
              u'25093',
              u'9798',
              u'1932',
              u'10979',
              u'164',
              u'24741',
              u'18427',
              u'16830',
              u'13812',
              u'17255',
              u'11552',
              u'14263',
              u'23457',
              u'8215',
              u'4707',
              u'1868',
              u'3441',
              u'4112',
              u'28843',
              u'16979',
              u'17332',
              u'10085',
              u'14807',
              u'1052',
              u'29170',
              u'15401',
              u'750',
              u'9755',
              u'647',
              u'22796',
              u'14698',
              u'9703',
              u'291',
              u'7037',
              u'11488',
              u'12731',
              u'15513',
              u'18808',
              u'6762',
              u'7065',
              u'29541',
              u'14025',
              u'15227',
              u'10881',
              u'23033',
              u'15634',
              u'5555',
              u'20351',
              u'22322',
              u'16358',
              u'14897',
              u'17244',
              u'10712',
              u'20025',
              u'22831',
              u'21009',
              u'15110',
              u'64',
              u'7721',
              u'3330',
              u'9266',
              u'1519',
              u'21387',
              u'25360',
              u'2909',
              u'2282',
              u'25014',
              u'16042',
              u'11547',
              u'21421',
              u'4218',
              u'24127',
              u'3724',
              u'7838',
              u'10310',
              u'4763',
              u'16957',
              u'20550',
              u'8971',
              u'21668',
              u'17215',
              u'26668',
              u'1967',
              u'27016',
              u'29138',
              u'10870',
              u'11222',
              u'15974',
              u'12103',
              u'14965',
              u'650',
              u'5821',
              u'7641',
              u'1958',
              u'11566',
              u'3417',
              u'26190',
              u'6879',
              u'1798',
              u'11133',
              u'16654',
              u'22790',
              u'13604',
              u'5037',
              u'19054',
              u'20238',
              u'4900',
              u'21196',
              u'18057',
              u'18041',
              u'24635',
              u'10173',
              u'28556',
              u'7625',
              u'19111',
              u'14147',
              u'11512',
              u'17149',
              u'6958',
              u'15696',
              u'2998',
              u'29410',
              u'26825',
              u'25194',
              u'12060',
              u'16489',
              u'2982',
              u'4514',
              u'25294',
              u'2217',
              u'19724',
              u'19559',
              u'7092',
              u'15550',
              u'25230',
              u'8803',
              u'10896',
              u'7706',
              u'10244',
              u'10430',
              u'26371',
              u'820',
              u'2792',
              u'7973',
              u'24203',
              u'22948',
              u'26748',
              u'3371',
              u'2470',
              u'13115',
              u'1675',
              u'3933',
              u'5652',
              u'18070',
              u'18543',
              u'14755',
              u'23548',
              u'21457',
              u'10853',
              u'7888',
              u'13982',
              u'7821',
              u'7048',
              u'7241',
              u'7367',
              u'2061',
              u'29360',
              u'10851',
              u'20789',
              u'12087',
              u'9087',
              u'18156',
              u'8420',
              u'27286',
              u'17511',
              u'24140',
              u'3342',
              u'15978',
              u'25950',
              u'26832',
              u'6474',
              u'9238',
              u'11832',
              u'8024',
              u'8295',
              u'9795',
              u'19788',
              u'10949',
              u'17547',
              u'7868',
              u'13400',
              u'5596',
              u'23051',
              u'19734',
              u'1038',
              u'18330',
              u'10397',
              u'20013',
              u'11395',
              u'1649',
              u'15010',
              u'20069',
              u'6860',
              u'24829',
              u'24875',
              u'14941',
              u'849',
              u'23635',
              u'25317',
              u'25207',
              u'8721',
              u'1933',
              u'12678',
              u'29088',
              u'4113',
              u'3391',
              u'24253',
              u'17231',
              u'1003',
              u'9764',
              u'21484',
              u'21397',
              u'24541',
              u'24196',
              u'3936',
              u'9510',
              u'26582',
              u'24699',
              u'13742',
              u'1051',
              u'20803',
              u'27068',
              u'24765',
              u'8878',
              u'2719',
              u'28394',
              u'16817',
              u'3339',
              u'8014',
              u'28991',
              u'14884',
              u'14622',
              u'3403',
              u'7672',
              u'26531',
              u'24591',
              u'10045',
              u'15320',
              u'470',
              u'17252',
              u'207',
              u'19913',
              u'27103',
              u'18646',
              u'5511',
              u'7754',
              u'12563',
              u'12342',
              u'3120',
              u'15306',
              u'19250',
              u'27664',
              u'25783',
              u'18471',
              u'26455',
              u'23962',
              u'20090',
              u'1573',
              u'363',
              u'22283',
              u'1856',
              u'15728',
              u'55',
              u'20659',
              u'26357',
              u'22213',
              u'8480',
              u'16266',
              u'12891',
              u'9904',
              u'10061',
              u'5698',
              u'4334',
              u'28957',
              u'27537',
              u'17341',
              u'22738',
              u'1546',
              u'16748',
              u'19647',
              u'670',
              u'28006',
              u'13037',
              u'12550',
              u'25982',
              u'23493',
              u'13965',
              u'1734',
              u'22450',
              u'5272',
              u'1146',
              u'7216',
              u'19618',
              u'18133',
              u'5349',
              u'17814',
              u'2949',
              u'28557',
              u'25562',
              u'4107',
              u'22159',
              u'13753',
              u'11226',
              u'7775',
              u'27872',
              u'15347',
              u'16996',
              u'28494',
              u'3259',
              u'18292',
              u'16870',
              u'16486',
              u'16683',
              u'1912',
              u'4826',
              u'22748',
              u'7916',
              u'2659',
              u'12109',
              u'21816',
              u'11422',
              u'13285',
              u'4770',
              u'9067',
              u'29283',
              u'7975',
              u'8837',
              u'13766',
              u'9228',
              u'15747',
              u'25571',
              u'10571',
              u'11774',
              u'19862',
              u'2707',
              u'14979',
              u'7990',
              u'6436',
              u'28702',
              u'23319',
              u'11112',
              u'1959',
              u'7831',
              u'6841',
              u'21438',
              u'21648',
              u'18823',
              u'25822',
              u'15899',
              u'4200',
              u'6452',
              u'6770',
              u'17019',
              u'4902',
              u'15247',
              u'8386',
              u'13084',
              u'14251',
              u'27575',
              u'19655',
              u'23315',
              u'10132',
              u'11009',
              u'5731',
              u'8406',
              u'26211',
              u'1776',
              u'3322',
              u'12448',
              u'7889',
              u'14458',
              u'26664',
              u'24967',
              u'9660',
              u'4141',
              u'6456',
              u'5928',
              u'19249',
              u'18979',
              u'5010',
              u'23499',
              u'12595',
              u'4594',
              u'56',
              u'10300',
              u'16623',
              u'17919',
              u'22141'],
             12: [u'6909',
              u'17483',
              u'24058',
              u'26613',
              u'21246',
              u'18706',
              u'3732',
              u'22429',
              u'15850',
              u'17127',
              u'9824',
              u'10788',
              u'1852',
              u'898',
              u'29149',
              u'1807',
              u'27231',
              u'21853',
              u'4326',
              u'2075',
              u'13647',
              u'20989',
              u'15713',
              u'25775',
              u'26587',
              u'17490',
              u'12106',
              u'62',
              u'20479',
              u'2078',
              u'16568',
              u'19372',
              u'4281',
              u'15127',
              u'2762',
              u'24714',
              u'13427',
              u'29014',
              u'28497',
              u'23663',
              u'11352',
              u'24539',
              u'8291',
              u'21262',
              u'1982',
              u'18539',
              u'10483',
              u'3578',
              u'20474',
              u'23804',
              u'15445',
              u'22707',
              u'5287',
              u'9681',
              u'28845',
              u'6464',
              u'17997',
              u'28945',
              u'5294',
              u'10687',
              u'3755',
              u'15808',
              u'14859',
              u'18819',
              u'24422',
              u'6012',
              u'28817',
              u'2419',
              u'26055',
              u'22420',
              u'28024',
              u'27920',
              u'16217',
              u'10672',
              u'5632',
              u'13455',
              u'3769',
              u'24816',
              u'14542',
              u'17136',
              u'10718',
              u'29115',
              u'24810',
              u'9018',
              u'26142',
              u'24257',
              u'2609',
              u'297',
              u'22381',
              u'16637',
              u'13891',
              u'5456',
              u'27072',
              u'18551',
              u'25297',
              u'10701',
              u'17743',
              u'24385',
              u'17187',
              u'28242',
              u'18946',
              u'24758',
              u'23988',
              u'18833',
              u'14561',
              u'20626',
              u'29499',
              u'11441',
              u'16082',
              u'21689',
              u'18916',
              u'628',
              u'18775',
              u'8726',
              u'8562',
              u'25507',
              u'26112',
              u'27044',
              u'10240',
              u'20852',
              u'7856',
              u'10969',
              u'14096',
              u'15314',
              u'8244',
              u'9156',
              u'21718',
              u'26620',
              u'8604',
              u'17412',
              u'7293',
              u'1470',
              u'26576',
              u'13868',
              u'12415',
              u'9320',
              u'2740',
              u'9415',
              u'23241',
              u'14128',
              u'9917',
              u'1986',
              u'28438',
              u'29593',
              u'3765',
              u'12114',
              u'26896',
              u'10053',
              u'21948',
              u'21719',
              u'26924',
              u'1059',
              u'23112',
              u'29090',
              u'19130',
              u'15825',
              u'17064',
              u'27939',
              u'23963',
              u'26702',
              u'25516',
              u'18288',
              u'25593',
              u'15399',
              u'21515',
              u'14759',
              u'22775',
              u'19418',
              u'22558',
              u'4384',
              u'7631',
              u'26584',
              u'15643',
              u'15667',
              u'4877',
              u'9500',
              u'25609',
              u'29608',
              u'9839',
              u'13489',
              u'14207',
              u'4353',
              u'10114',
              u'6046',
              u'29144',
              u'18158',
              u'9370',
              u'473',
              u'6440',
              u'26719',
              u'19993',
              u'1551',
              u'16842',
              u'2741',
              u'1195',
              u'23824',
              u'8943',
              u'19762',
              u'24384',
              u'15637',
              u'18786',
              u'14214',
              u'21161',
              u'6857',
              u'4600',
              u'15657',
              u'28489',
              u'9995',
              u'12522',
              u'23263',
              u'10981',
              u'29079',
              u'8152',
              u'5719',
              u'9288',
              u'16442',
              u'16077',
              u'13618',
              u'20718',
              u'4240',
              u'20869',
              u'23401',
              u'6143',
              u'5923',
              u'21068',
              u'14002',
              u'27440',
              u'20839',
              u'17',
              u'9553',
              u'17849',
              u'5554',
              u'1340',
              u'1998',
              u'3021',
              u'19962',
              u'5006',
              u'10790',
              u'11038',
              u'5145',
              u'15043',
              u'27476',
              u'16952',
              u'9744',
              u'24227',
              u'8102',
              u'20164',
              u'7788',
              u'10815',
              u'21548',
              u'26871',
              u'18593',
              u'10977',
              u'15205',
              u'6453',
              u'11141',
              u'28949',
              u'24690',
              u'21909',
              u'7682',
              u'19248',
              u'23255',
              u'51',
              u'7900',
              u'8550',
              u'19959',
              u'22815',
              u'21258',
              u'25276',
              u'25308',
              u'4481',
              u'3972',
              u'8998',
              u'17906',
              u'21651',
              u'8626',
              u'11433',
              u'8840',
              u'27580',
              u'18204',
              u'23314',
              u'16208',
              u'28107',
              u'10631',
              u'10799',
              u'13928',
              u'24175',
              u'1298',
              u'7735',
              u'17298',
              u'6569',
              u'738',
              u'7607',
              u'28985',
              u'5338',
              u'15342',
              u'17521',
              u'8741',
              u'28374',
              u'23944',
              u'9632',
              u'15572',
              u'27457',
              u'24880',
              u'19561',
              u'15155',
              u'22711',
              u'19545',
              u'3264',
              u'25791',
              u'22447',
              u'22646',
              u'7872',
              u'5845',
              u'21507',
              u'25931',
              u'21296',
              u'5499',
              u'8923',
              u'9312',
              u'25736',
              u'4152',
              u'11419',
              u'28902',
              u'22941',
              u'20841',
              u'4372',
              u'9885',
              u'21724',
              u'10982',
              u'8664',
              u'6575',
              u'17539',
              u'4360',
              u'16274',
              u'2122',
              u'10752',
              u'2448',
              u'24026',
              u'28909',
              u'17138',
              u'9501',
              u'22426',
              u'22202',
              u'3407',
              u'18870',
              u'12896',
              u'24431',
              u'29210',
              u'16119',
              u'4122',
              u'4768',
              u'19173',
              u'23287',
              u'27104',
              u'10521',
              u'21524',
              u'24218',
              u'1357',
              u'26532',
              u'10290',
              u'16774',
              u'23918',
              u'22468',
              u'10057',
              u'13833',
              u'23130',
              u'23927',
              u'5373',
              u'11453',
              u'28128',
              u'1990',
              u'17226',
              u'1467',
              u'17061',
              u'7711',
              u'27584',
              u'21334',
              u'13749',
              u'27364',
              u'4437',
              u'7402',
              u'18147',
              u'9478',
              u'21268',
              u'20349',
              u'24601',
              u'15336',
              u'9890',
              u'9577',
              u'6699',
              u'7756',
              u'18751',
              u'19375',
              u'5120',
              u'29097',
              u'4480',
              u'27960',
              u'17139',
              u'9740',
              u'16487',
              u'19563',
              u'25278',
              u'11404',
              u'24617',
              u'26905',
              u'6446',
              u'23282',
              u'19954',
              u'11854',
              u'9192',
              u'7265',
              u'15133',
              u'18649'],
             13: [u'10842',
              u'12067',
              u'8757',
              u'1827',
              u'322',
              u'28215',
              u'6199',
              u'1861',
              u'23289',
              u'18743',
              u'22216',
              u'7747',
              u'20569',
              u'13343',
              u'24715',
              u'29294',
              u'11461',
              u'95',
              u'26185',
              u'8093',
              u'12907',
              u'9914',
              u'25774',
              u'11896',
              u'23599',
              u'21456',
              u'14674',
              u'2310',
              u'15215',
              u'13065',
              u'18371',
              u'28821',
              u'5440',
              u'26507',
              u'8611',
              u'16832',
              u'16168',
              u'27371',
              u'11300',
              u'7931',
              u'19672',
              u'12552',
              u'12924',
              u'24565',
              u'6548',
              u'11629',
              u'13496',
              u'7583',
              u'23860',
              u'9772',
              u'28023',
              u'23846',
              u'24437',
              u'25454',
              u'11517',
              u'29131',
              u'22806',
              u'24017',
              u'26193',
              u'1914',
              u'29581',
              u'13514',
              u'23987',
              u'19630',
              u'24214',
              u'18998',
              u'21976',
              u'18452',
              u'28427',
              u'21395',
              u'25729',
              u'7383',
              u'11773',
              u'19644',
              u'16007',
              u'9504',
              u'7045',
              u'8673',
              u'28564',
              u'13533',
              u'16237',
              u'28178',
              u'14772',
              u'17555',
              u'900',
              u'16894',
              u'18546',
              u'13754',
              u'8932',
              u'1876',
              u'1632',
              u'11682',
              u'2932',
              u'17018',
              u'1271',
              u'28000',
              u'17097',
              u'7946',
              u'9220',
              u'14736',
              u'10588',
              u'15765',
              u'20215',
              u'6257',
              u'4442',
              u'14537',
              u'4632',
              u'10357',
              u'17812',
              u'12674',
              u'127',
              u'18873',
              u'1499',
              u'368',
              u'5054',
              u'13147',
              u'9145',
              u'20540',
              u'20546',
              u'22357',
              u'5298',
              u'23567',
              u'29600',
              u'20781',
              u'26120',
              u'10128',
              u'2945',
              u'25052',
              u'26327',
              u'4652',
              u'1812',
              u'13681',
              u'24876',
              u'16182',
              u'19639',
              u'19965',
              u'22408',
              u'9808',
              u'13291',
              u'19336',
              u'22147',
              u'26998',
              u'23330',
              u'17363'],
             14: [u'23597',
              u'2969',
              u'21581',
              u'20181',
              u'11757',
              u'3453',
              u'387',
              u'13416',
              u'28376',
              u'4939',
              u'28999',
              u'6642',
              u'27162',
              u'10861',
              u'21234',
              u'1002',
              u'27043',
              u'1190',
              u'15543',
              u'19900',
              u'22565',
              u'1999',
              u'15502',
              u'5572',
              u'3254',
              u'12970',
              u'18128',
              u'7882',
              u'3973',
              u'10461',
              u'21900',
              u'25559',
              u'25871',
              u'23275',
              u'21097',
              u'27541',
              u'11145',
              u'12110',
              u'29299',
              u'16548',
              u'350',
              u'10512',
              u'16281',
              u'14858',
              u'14462',
              u'27437',
              u'24722',
              u'3496',
              u'29187',
              u'19063',
              u'17166',
              u'12772',
              u'17259',
              u'14389',
              u'4443',
              u'20974',
              u'7928',
              u'18974',
              u'12796',
              u'27317',
              u'21585',
              u'3850',
              u'7260'],
             15: [u'15532',
              u'21941',
              u'14524',
              u'15907',
              u'9142',
              u'24807',
              u'22983',
              u'19844',
              u'17805',
              u'15727',
              u'24374',
              u'3258',
              u'14830',
              u'11752',
              u'2163',
              u'15255',
              u'11548',
              u'25337',
              u'21871',
              u'5969',
              u'6144',
              u'2671',
              u'1457',
              u'15469',
              u'19060',
              u'24921',
              u'27827',
              u'1145',
              u'5900',
              u'18114',
              u'25355',
              u'1569',
              u'3528',
              u'24572',
              u'25471',
              u'1474',
              u'1312',
              u'6042',
              u'12958',
              u'10344',
              u'1779',
              u'14475',
              u'1301',
              u'21063',
              u'1858',
              u'24235',
              u'194',
              u'22014',
              u'18970',
              u'11478',
              u'8084',
              u'13014',
              u'29481',
              u'3774',
              u'5259',
              u'12524',
              u'4855',
              u'4154',
              u'13862',
              u'23445',
              u'9057',
              u'3368',
              u'7337',
              u'24622',
              u'8946',
              u'21820',
              u'28339',
              u'3916',
              u'13259',
              u'5749',
              u'1530',
              u'17689',
              u'6726',
              u'179',
              u'16238',
              u'6748',
              u'24940',
              u'13704',
              u'3571',
              u'13653',
              u'21975',
              u'19433',
              u'12695',
              u'25490',
              u'16430',
              u'7978',
              u'11218',
              u'12903',
              u'11735',
              u'14485',
              u'15656',
              u'4169',
              u'14934',
              u'16269',
              u'2767',
              u'11415',
              u'21325',
              u'25995',
              u'27312',
              u'20790',
              u'9155',
              u'22340',
              u'25483',
              u'20959',
              u'28431',
              u'10852',
              u'28141',
              u'29036',
              u'20563',
              u'21122',
              u'15851',
              u'5926',
              u'11933',
              u'17791',
              u'6767',
              u'21630',
              u'27522',
              u'22440',
              u'18902',
              u'2951',
              u'1398',
              u'6889',
              u'26155',
              u'24526',
              u'778',
              u'2092',
              u'3985',
              u'21960',
              u'9508',
              u'12373',
              u'7458',
              u'6429',
              u'18682',
              u'14160',
              u'10528',
              u'23608',
              u'18451',
              u'13968',
              u'4788',
              u'23326',
              u'14852',
              u'14735',
              u'4079',
              u'14497',
              u'11416',
              u'21237',
              u'13262',
              u'26423',
              u'8533',
              u'9507',
              u'29196',
              u'11125',
              u'20125',
              u'9406',
              u'27506',
              u'5479',
              u'19318',
              u'12931',
              u'10051',
              u'2213',
              u'15593',
              u'13116',
              u'27311',
              u'7536',
              u'13139',
              u'27463',
              u'7977',
              u'20915',
              u'6486',
              u'24631',
              u'28152',
              u'16352',
              u'4201',
              u'22591',
              u'6286',
              u'23201',
              u'12806',
              u'2202',
              u'26466',
              u'21288',
              u'3883',
              u'20314',
              u'28074',
              u'28188',
              u'27770',
              u'5387',
              u'23682',
              u'12405',
              u'2399',
              u'14228',
              u'13212',
              u'2348',
              u'22578',
              u'19378',
              u'23766',
              u'18418',
              u'27930',
              u'26034',
              u'8954',
              u'8182',
              u'20986',
              u'8056',
              u'24865',
              u'13587',
              u'12433',
              u'266',
              u'5609',
              u'12058',
              u'17940',
              u'19889',
              u'4420',
              u'3946',
              u'6939',
              u'16480',
              u'24587'],
             16: [u'28522',
              u'16970',
              u'7328',
              u'7046',
              u'1745',
              u'16574',
              u'12267',
              u'6532',
              u'14749',
              u'25078',
              u'11859',
              u'1032',
              u'7023',
              u'10256',
              u'18275',
              u'12987',
              u'14296',
              u'23281',
              u'7555',
              u'5327',
              u'29279',
              u'29179',
              u'23985',
              u'27195',
              u'21797',
              u'22432',
              u'12917',
              u'12064',
              u'9799',
              u'15173',
              u'3180',
              u'22938',
              u'304',
              u'24348',
              u'12746',
              u'18836',
              u'22300',
              u'29480',
              u'3990',
              u'14312',
              u'19118',
              u'6927',
              u'16927',
              u'11985',
              u'4790',
              u'28858',
              u'19604',
              u'26986',
              u'4559',
              u'26248',
              u'1845',
              u'16026',
              u'15884',
              u'27112',
              u'9181',
              u'23529',
              u'2879',
              u'14823',
              u'27997',
              u'21341',
              u'17533',
              u'3377',
              u'19810',
              u'17570',
              u'7151',
              u'267',
              u'26869',
              u'4322',
              u'21367',
              u'15172',
              u'14902',
              u'6847',
              u'24089',
              u'9245',
              u'14779',
              u'29198',
              u'5406',
              u'23850',
              u'10416',
              u'6275',
              u'18837',
              u'10586',
              u'3745',
              u'25782',
              u'22068',
              u'3579',
              u'25147',
              u'4250',
              u'9050',
              u'3168',
              u'29055',
              u'3756',
              u'17331',
              u'13491',
              u'2595',
              u'26962',
              u'26249',
              u'14081',
              u'22494',
              u'577',
              u'8960',
              u'211',
              u'28327',
              u'9664',
              u'8636',
              u'7398',
              u'13760',
              u'27574',
              u'26730',
              u'23565',
              u'21131',
              u'4329',
              u'15332',
              u'1765',
              u'21117',
              u'12230',
              u'21883',
              u'16530',
              u'11162',
              u'9610',
              u'15569',
              u'13263',
              u'10613',
              u'19257',
              u'6039',
              u'6881',
              u'1848',
              u'22610',
              u'2848',
              u'25479',
              u'216',
              u'5914',
              u'9283',
              u'28569',
              u'19773',
              u'5955',
              u'10860',
              u'22140',
              u'10055',
              u'28819',
              u'8642',
              u'26951',
              u'17245',
              u'4582',
              u'2477',
              u'12393',
              u'24615',
              u'15591',
              u'17687',
              u'21701',
              u'804',
              u'10587',
              u'3657',
              u'2370',
              u'4380',
              u'18688',
              u'11397',
              u'1216',
              u'16702',
              u'18061',
              u'26738',
              u'18875',
              u'21069',
              u'1751',
              u'23910',
              u'29508',
              u'5940',
              u'11476',
              u'22301',
              u'14990',
              u'3357',
              u'16098',
              u'16141',
              u'18241',
              u'13548',
              u'23678',
              u'10818',
              u'23452',
              u'9647',
              u'12302',
              u'13460',
              u'22994',
              u'16494',
              u'22394',
              u'5092',
              u'8563',
              u'28618',
              u'28983',
              u'24207',
              u'13164',
              u'13789',
              u'12807',
              u'25539',
              u'28423',
              u'10812',
              u'18228',
              u'24633',
              u'2818',
              u'29353',
              u'2443',
              u'7757',
              u'16363',
              u'28072',
              u'12333',
              u'15091',
              u'4560',
              u'21722',
              u'8806',
              u'26854',
              u'7626',
              u'9206',
              u'2185',
              u'15880',
              u'11225',
              u'1645',
              u'15865',
              u'10217',
              u'13390',
              u'4109',
              u'28322',
              u'1386',
              u'17532',
              u'7333',
              u'8615',
              u'7014',
              u'21360',
              u'27124',
              u'19217',
              u'28079',
              u'23945',
              u'13583',
              u'11400',
              u'14786',
              u'9385',
              u'22889',
              u'10274',
              u'562',
              u'8942',
              u'3977',
              u'19736',
              u'6070',
              u'10501',
              u'12477',
              u'5619',
              u'12820',
              u'19059',
              u'28045',
              u'22397',
              u'6250',
              u'23706',
              u'9096',
              u'25666',
              u'4365',
              u'22637',
              u'2616',
              u'24342',
              u'17546',
              u'10561',
              u'17040',
              u'20898',
              u'10879',
              u'17891',
              u'21716',
              u'16709',
              u'11935',
              u'11546',
              u'23090',
              u'8744',
              u'17291',
              u'10750',
              u'27387',
              u'15248',
              u'13665',
              u'9678',
              u'9284',
              u'2102',
              u'1414',
              u'12548',
              u'4040',
              u'28025',
              u'8125'],
             17: [u'8528',
              u'29432',
              u'19462',
              u'12890',
              u'23334',
              u'22107',
              u'22970',
              u'19593',
              u'14402',
              u'17870',
              u'20258',
              u'10522',
              u'26628',
              u'4549',
              u'20617',
              u'12673',
              u'1040',
              u'21173',
              u'12161',
              u'28838',
              u'870',
              u'1022',
              u'2606',
              u'19786',
              u'28886',
              u'3831',
              u'16928',
              u'22360',
              u'955',
              u'4184',
              u'27728',
              u'12180',
              u'25416',
              u'14980',
              u'18796',
              u'20244',
              u'4475',
              u'8039',
              u'20502',
              u'9164',
              u'9321',
              u'25838',
              u'18225',
              u'18025',
              u'15635',
              u'20905',
              u'9200',
              u'27222',
              u'22090',
              u'2428',
              u'9270',
              u'20619',
              u'25665',
              u'25552',
              u'10774',
              u'10389',
              u'24772',
              u'28160',
              u'29102',
              u'14058',
              u'17542',
              u'11524',
              u'20297',
              u'12803',
              u'26174',
              u'20536',
              u'27643',
              u'11283',
              u'9779',
              u'20774',
              u'4691',
              u'1289',
              u'4316',
              u'26061',
              u'12305',
              u'9400',
              u'16222',
              u'14693',
              u'8021',
              u'19483',
              u'1731',
              u'22676',
              u'19385',
              u'27223',
              u'23551',
              u'27473',
              u'22953',
              u'20194',
              u'25363',
              u'18828',
              u'22',
              u'25366',
              u'19610',
              u'19216',
              u'10066',
              u'3656',
              u'24874',
              u'23780',
              u'16070',
              u'16499',
              u'28173',
              u'28298',
              u'5560',
              u'4896',
              u'3564',
              u'4942',
              u'21931',
              u'8614',
              u'4157',
              u'14068',
              u'28791',
              u'14703',
              u'15809',
              u'17851',
              u'9078',
              u'29466',
              u'9758',
              u'23175',
              u'12217',
              u'3532',
              u'7384',
              u'2206',
              u'3081',
              u'23563',
              u'24297',
              u'14421',
              u'24654',
              u'23114',
              u'26812',
              u'15751',
              u'7450',
              u'11156',
              u'20812',
              u'13477',
              u'11249',
              u'13896',
              u'18399',
              u'19030',
              u'23800',
              u'9384',
              u'1013',
              u'7674',
              u'29529',
              u'7007',
              u'19465',
              u'25841',
              u'28918',
              u'12322',
              u'5021',
              u'972',
              u'6136',
              u'20628',
              u'22507',
              u'18722',
              u'6148',
              u'17390',
              u'15210',
              u'9617',
              u'15275',
              u'23127',
              u'21143',
              u'5236',
              u'1888',
              u'2587'],
             18: [u'8243',
              u'27139',
              u'25971',
              u'26502',
              u'11138',
              u'13466',
              u'6118',
              u'9716',
              u'1514',
              u'21772',
              u'6631',
              u'15746',
              u'8300',
              u'21663',
              u'13571',
              u'26103',
              u'27024',
              u'9215',
              u'7255',
              u'6553',
              u'6284',
              u'20581',
              u'16869',
              u'16030',
              u'13810',
              u'15206',
              u'5498',
              u'22479',
              u'25638',
              u'28958',
              u'2010',
              u'12981',
              u'18839',
              u'4833',
              u'20219',
              u'2076',
              u'7826',
              u'2028',
              u'13275',
              u'6209',
              u'27717',
              u'16601',
              u'15307',
              u'11449',
              u'7441',
              u'9555',
              u'15662',
              u'17422',
              u'11936',
              u'22952',
              u'21244',
              u'25390',
              u'16289',
              u'24922',
              u'6789',
              u'112',
              u'5861',
              u'5085',
              u'4924',
              u'28661',
              u'12084',
              u'26760',
              u'27763',
              u'16328',
              u'22536',
              u'27284',
              u'15736',
              u'8287',
              u'18200',
              u'20147',
              u'15882',
              u'18659',
              u'13215',
              u'15122',
              u'21447',
              u'13216',
              u'10621',
              u'20583',
              u'26181',
              u'28105',
              u'9330',
              u'12889',
              u'8323',
              u'7350',
              u'15443',
              u'7142',
              u'29590',
              u'13498',
              u'17553',
              u'2804',
              u'24296',
              u'25903',
              u'3770',
              u'27579',
              u'808',
              u'17445',
              u'21224',
              u'17489',
              u'23035',
              u'8373',
              u'19636',
              u'6962',
              u'3326',
              u'13588',
              u'4722',
              u'12108',
              u'24727',
              u'24959',
              u'29095',
              u'17945',
              u'18322',
              u'27380',
              u'25131',
              u'26769',
              u'8155',
              u'24021',
              u'3255',
              u'2147',
              u'23816',
              u'14960',
              u'18306',
              u'3229',
              u'12699',
              u'5627',
              u'6708',
              u'5102',
              u'6919',
              u'25937',
              u'15734',
              u'10736',
              u'4102',
              u'18640',
              u'21218',
              u'17101',
              u'22769',
              u'12614',
              u'10668',
              u'29323',
              u'19722',
              u'15680',
              u'26508',
              u'15864',
              u'25898',
              u'7639',
              u'7869',
              u'17362',
              u'5574',
              u'5460',
              u'16949',
              u'964',
              u'23845',
              u'15947',
              u'2376',
              u'2993',
              u'5187',
              u'7828',
              u'25636',
              u'15516',
              u'8693',
              u'4595',
              u'12664',
              u'17230',
              u'10465',
              u'14841',
              u'343',
              u'14119',
              u'25231',
              u'27268',
              u'15159',
              u'4115',
              u'10144',
              u'17880',
              u'18763',
              u'9254',
              u'26795',
              u'10740',
              u'14284',
              u'6050',
              u'27722',
              u'6709',
              u'6283',
              u'6117',
              u'10111',
              u'15901',
              u'18254',
              u'26556',
              u'24238',
              u'10208',
              u'3306',
              u'21878',
              u'27527',
              u'16448',
              u'2791',
              u'13962',
              u'6545',
              u'27281',
              u'9570',
              u'16579',
              u'17923',
              u'20871',
              u'29052',
              u'22528',
              u'1840',
              u'6997',
              u'11111',
              u'13080',
              u'20307',
              u'18943',
              u'28731',
              u'25641',
              u'28368',
              u'4349',
              u'23307',
              u'28972',
              u'27257',
              u'10359',
              u'15383',
              u'2538',
              u'15870',
              u'2906',
              u'5203',
              u'6897',
              u'1962',
              u'4188',
              u'13655',
              u'6459',
              u'23882',
              u'17518',
              u'27321',
              u'25004',
              u'11740',
              u'13957',
              u'19161',
              u'5158',
              u'16116',
              u'23996',
              u'28205',
              u'21578',
              u'22446',
              u'28708',
              u'1315',
              u'13314',
              u'17482',
              u'14368',
              u'22452',
              u'957',
              u'7207',
              u'1062',
              u'4802',
              u'15494',
              u'1194',
              u'17225',
              u'2921',
              u'9893',
              u'19394',
              u'10703',
              u'4672',
              u'16366',
              u'8730',
              u'12042',
              u'1200',
              u'26724',
              u'24398',
              u'12826',
              u'5755',
              u'17759',
              u'9641',
              u'9621',
              u'4622',
              u'18018',
              u'21052',
              u'9027',
              u'17905',
              u'11522',
              u'6003',
              u'5162',
              u'19797',
              u'1134',
              u'14973',
              u'20472',
              u'13217',
              u'4304',
              u'22400',
              u'16584',
              u'25166',
              u'9870',
              u'19623',
              u'9955',
              u'25261',
              u'5509',
              u'19955',
              u'13441',
              u'22115',
              u'6181',
              u'20159',
              u'57',
              u'135',
              u'27820',
              u'3314',
              u'1800',
              u'16492',
              u'15802',
              u'11179',
              u'21921',
              u'16402',
              u'12881',
              u'6557',
              u'10976',
              u'9490',
              u'1036',
              u'24719',
              u'2004',
              u'18380',
              u'14791',
              u'8160',
              u'18575',
              u'15263',
              u'28500',
              u'2856',
              u'14272',
              u'3918',
              u'7957',
              u'5650',
              u'16422',
              u'10091',
              u'2191',
              u'5235',
              u'16050',
              u'1948',
              u'1433',
              u'16438',
              u'25533',
              u'5040',
              u'14353',
              u'1775',
              u'19678',
              u'217',
              u'21393',
              u'19588',
              u'17744',
              u'10230',
              u'10983',
              u'29591',
              u'12829',
              u'19570',
              u'16647',
              u'10092',
              u'850',
              u'24097',
              u'2495',
              u'3892',
              u'4392',
              u'8208',
              u'17551',
              u'8470',
              u'3177',
              u'19508',
              u'21476',
              u'19676',
              u'5616',
              u'11457',
              u'22175',
              u'20893',
              u'4751',
              u'6680',
              u'12705',
              u'14715',
              u'16520',
              u'25413',
              u'18250',
              u'11097',
              u'27756',
              u'26697',
              u'16510',
              u'13260',
              u'27217',
              u'20259',
              u'29135',
              u'13780',
              u'10830',
              u'13611',
              u'5517',
              u'181',
              u'10139',
              u'16385',
              u'9999',
              u'12032',
              u'24934',
              u'4062',
              u'15109',
              u'9935',
              u'23032',
              u'20537',
              u'15553',
              u'10594',
              u'19517',
              u'7395',
              u'19518',
              u'3767',
              u'9787',
              u'14704',
              u'28280',
              u'23553',
              u'13201',
              u'20949',
              u'24284',
              u'25254',
              u'21314',
              u'11831',
              u'20564',
              u'6198',
              u'23070',
              u'29070',
              u'5932',
              u'3471',
              u'28743',
              u'1415',
              u'6584',
              u'3425',
              u'14457',
              u'7901',
              u'22077',
              u'10784',
              u'4962',
              u'431',
              u'13207',
              u'5564',
              u'5921',
              u'26002',
              u'20097',
              u'14130',
              u'17980',
              u'10100',
              u'25534',
              u'27413',
              u'23885',
              u'23298',
              u'21609',
              u'29565',
              u'13062',
              u'14460',
              u'21943',
              u'21162',
              u'14019',
              u'22879',
              u'29594',
              u'27910',
              u'1196',
              u'949',
              u'8543',
              u'8196',
              u'13505',
              u'13043',
              u'21516',
              u'27119',
              u'5211',
              u'26416',
              u'7798',
              u'17239',
              u'19646',
              u'12883',
              u'7427',
              u'24853',
              u'8270',
              u'12088',
              u'18774',
              u'5843',
              u'6059',
              u'10281',
              u'19520',
              u'28879',
              u'10496',
              u'4212',
              u'19260',
              u'28728',
              u'8687',
              u'4060',
              u'29122',
              u'14210',
              u'9608',
              u'18524',
              u'23045',
              u'22580',
              u'7499',
              u'8289',
              u'9422',
              u'10814',
              u'27129',
              u'18596',
              u'11602',
              u'24844',
              u'10964',
              u'27862',
              u'22249',
              u'25521',
              u'4588',
              u'4346',
              u'13853',
              u'28912',
              u'10455',
              u'27208',
              u'7726',
              u'6301',
              u'1245',
              u'10634',
              u'18592',
              u'392',
              u'9726',
              u'27088',
              u'21164',
              u'7652',
              u'5686',
              u'10071',
              u'6252',
              u'28257',
              u'21177',
              u'28496',
              u'11988',
              u'16079',
              u'3073',
              u'2195',
              u'15070',
              u'3000',
              u'4483',
              u'23150',
              u'26505',
              u'2239',
              u'3465',
              u'19049',
              u'18010',
              u'6955',
              u'2401',
              u'6406',
              u'731',
              u'25418',
              u'17917',
              u'22607',
              u'1442',
              u'2259',
              u'5153',
              u'2311',
              u'24637',
              u'23549',
              u'17956',
              u'15323',
              u'7442',
              u'10598',
              u'20130',
              u'28281',
              u'15213',
              u'23039',
              u'26373',
              u'19796',
              u'8780',
              u'24890',
              u'19589',
              u'489',
              u'23336',
              u'26614',
              u'4597',
              u'1373',
              u'12279',
              u'14800',
              u'29005',
              u'18564',
              u'11017',
              u'17113',
              u'27161',
              u'12616',
              u'25136',
              u'20311',
              u'20434',
              u'27168',
              u'11958',
              u'13059',
              u'28251',
              u'21000',
              u'12401',
              u'11731',
              u'11450',
              u'13144',
              u'8001',
              u'15930',
              u'28140',
              u'6700',
              u'28367',
              u'11966',
              u'13047',
              u'25525',
              u'13166',
              u'12667',
              u'15799',
              u'13395',
              u'8644',
              u'7361',
              u'3507',
              u'6490',
              u'18340',
              u'15454',
              u'25277',
              u'15600',
              u'24619',
              u'1007',
              u'20566',
              u'24340',
              u'3536',
              u'26523',
              u'22714',
              u'7602',
              u'14167',
              u'28049',
              u'15435',
              u'24205',
              u'22635',
              u'29128',
              u'13662',
              u'18745',
              u'936',
              u'11361',
              u'13973',
              u'17053',
              u'12783',
              u'4898',
              u'2497',
              u'24451',
              u'28923',
              u'10651',
              u'12422',
              u'1064',
              u'16311',
              u'8678',
              u'21918',
              u'26105',
              u'4252',
              u'798',
              u'8161',
              u'21077',
              u'25167',
              u'29310',
              u'9491',
              u'10917',
              u'20041',
              u'19532',
              u'26045',
              u'21277',
              u'3718',
              u'8948',
              u'9276',
              u'4404',
              u'17003',
              u'11135',
              u'20815',
              u'3614',
              u'2345',
              u'8143',
              u'7485',
              u'13909',
              u'18689',
              u'10194',
              u'21956',
              u'8186',
              u'26470',
              u'6371',
              u'26231',
              u'8670',
              u'18952',
              u'90',
              u'6058',
              u'11693',
              u'9895',
              u'18197',
              u'28503',
              u'10021',
              u'16129',
              u'9600',
              u'5919',
              u'3041',
              u'11412',
              u'6492',
              u'9506',
              u'19969',
              u'9588',
              u'23612',
              u'22419',
              u'16100',
              u'468',
              u'5017',
              u'25121',
              u'13221',
              u'9264',
              u'3235',
              u'22661',
              u'12016',
              u'7655',
              u'15473',
              u'9797',
              u'3373',
              u'1456',
              u'25804',
              u'851',
              u'28859',
              u'22106',
              u'16977',
              u'8871',
              u'22995',
              u'14125',
              u'25510',
              u'26396',
              u'16124',
              u'17261',
              u'24799',
              u'9855',
              u'1781',
              u'19912',
              u'29356',
              u'15000',
              u'17462',
              u'24332',
              u'17460',
              u'28305',
              u'20242',
              u'27996',
              u'5645',
              u'10839',
              u'23613',
              u'6243',
              u'14526',
              u'9421',
              u'27755',
              u'7656',
              u'16543',
              u'29087',
              u'22902',
              u'29231',
              u'22392',
              u'28233',
              u'23582',
              u'15506',
              u'8886',
              u'3106',
              u'5871',
              u'10680',
              u'29439',
              u'21366',
              u'130',
              u'1490',
              u'20038',
              u'16437',
              u'3730',
              u'19855',
              u'21165',
              u'17248',
              u'23453',
              u'2880',
              u'11633',
              u'24074',
              u'4464',
              u'6036',
              u'28998',
              u'25005',
              u'8201',
              u'15659',
              u'22735',
              u'28104',
              u'25030',
              u'29190',
              u'29359',
              u'8525',
              u'10838',
              u'3599',
              u'3482',
              u'27794',
              u'16456',
              u'14518',
              u'8566',
              u'3385',
              u'7205',
              u'9229',
              u'26246',
              u'23473',
              u'3056',
              u'26959',
              u'6972',
              u'18742',
              u'13428',
              u'13242',
              u'1831',
              u'5824',
              u'8280',
              u'12482',
              u'6949',
              u'10935',
              u'21782',
              u'11025',
              u'17513',
              u'24863',
              u'9706',
              u'7553',
              u'26288',
              u'14452',
              u'8414',
              u'16383',
              u'14197',
              u'5355',
              u'572',
              u'4865',
              u'2263',
              u'16251',
              u'10990',
              u'21463',
              u'12081',
              u'12892',
              u'481',
              u'9567',
              u'12142',
              u'14144',
              u'29041',
              u'3988',
              u'20463',
              u'12164',
              u'5704',
              u'5620',
              u'25084',
              u'16575',
              u'1329',
              u'3823',
              u'13898',
              u'676',
              u'23929',
              u'14615',
              u'1693',
              u'9183',
              u'27604',
              u'26995',
              u'17784',
              u'9643',
              u'3089',
              u'22866',
              u'19948',
              u'15498',
              u'3007',
              u'11986',
              u'26586',
              u'21594',
              u'15268',
              u'14471',
              u'3543',
              u'19218',
              u'5833',
              u'23072',
              u'14347',
              u'17847',
              u'8926',
              u'26227',
              u'25282',
              u'5280',
              u'14028',
              u'26679',
              u'19477',
              u'19804',
              u'7895',
              u'16025',
              u'2935',
              u'12100',
              u'36',
              u'11080',
              u'20274',
              u'8818',
              u'264',
              u'22053',
              u'28876',
              u'3714',
              u'21792',
              u'29314',
              u'24901',
              u'505',
              u'7300',
              u'12709',
              u'15820',
              u'8981',
              u'28124',
              u'28778',
              u'9374',
              u'4803',
              u'14094',
              u'16972',
              u'13113',
              u'20036',
              u'26571',
              u'9975',
              u'7661',
              u'22914',
              u'4609',
              u'7209',
              u'1504',
              u'28668',
              u'11332',
              u'9837',
              u'15573',
              u'12938',
              u'24063',
              u'26692',
              u'17867',
              u'6013',
              u'23259',
              u'28521',
              u'28',
              u'10220',
              u'22061',
              u'27542',
              u'13855',
              u'21629',
              u'19888',
              u'10107',
              u'25834',
              u'9083',
              u'15766',
              u'26324',
              u'9970',
              u'20587',
              u'12706',
              u'20625',
              u'22846',
              u'775',
              u'13585',
              u'17365',
              u'9268',
              u'19829',
              u'14974',
              u'16975',
              u'16432',
              u'16028',
              u'16325',
              u'25962',
              u'11201',
              u'1213',
              u'7687',
              u'16799',
              u'27703',
              u'3153',
              u'24278',
              u'26366',
              u'16910',
              u'6895',
              u'15055',
              u'19436',
              u'12303',
              u'22167',
              u'4657',
              u'320',
              u'398',
              u'1576',
              u'641',
              u'1664',
              u'4462',
              u'17264',
              u'5665',
              u'26876',
              u'15030',
              u'5308',
              u'28158',
              u'29269',
              u'8288',
              u'25686',
              u'19268',
              u'16798',
              u'24188',
              u'27349',
              u'5766',
              u'23353',
              u'26291',
              u'9708',
              u'25771',
              u'13529',
              u'19526',
              u'19627',
              u'18236',
              u'14870',
              u'15271',
              u'2687',
              u'5888',
              u'28004',
              u'20033',
              u'10202',
              u'18807',
              u'1232',
              u'12688',
              u'24670',
              u'18449',
              u'3245',
              u'19019',
              u'24549',
              u'24035',
              u'22980',
              u'14580',
              u'19498',
              u'2',
              u'18921',
              u'10682',
              u'13054',
              ...],
             19: [u'15199',
              u'16161',
              u'6068',
              u'16239',
              u'4822',
              u'20532',
              u'2168',
              u'14636',
              u'3065',
              u'11564',
              u'1509',
              u'2271',
              u'22428',
              u'5053',
              u'20271',
              u'14252',
              u'16739',
              u'26216',
              u'668',
              u'24459',
              u'3055',
              u'1726',
              u'23629',
              u'11947',
              u'18991',
              u'17604',
              u'5813',
              u'12948',
              u'5837',
              u'13705',
              u'5765',
              u'22265',
              u'12703',
              u'17807',
              u'9274',
              u'27860',
              u'10854',
              u'16314',
              u'10688',
              u'29240',
              u'25481',
              u'10160',
              u'24570',
              u'22886',
              u'25235',
              u'4681',
              u'29400',
              u'803',
              u'13562',
              u'4895',
              u'15941',
              u'27188',
              u'25718',
              u'21088',
              u'24067',
              u'29464',
              u'22924',
              u'22786',
              u'23321',
              u'29273',
              u'24825',
              u'13823',
              u'12512',
              u'19716',
              u'6696',
              u'4923',
              u'29498',
              u'7204',
              u'10537',
              u'20488',
              u'17413',
              u'21242',
              u'2319',
              u'11033',
              u'19735',
              u'28579',
              u'27269',
              u'608',
              u'5992',
              u'19510',
              u'5068',
              u'4887',
              u'15953',
              u'13845',
              u'11592',
              u'15669',
              u'5655',
              u'1129',
              u'24878',
              u'20917',
              u'17515',
              u'29156',
              u'2288',
              u'12980',
              u'20767',
              u'27975',
              u'28925',
              u'9590',
              u'18565',
              u'28347',
              u'27897',
              u'14438',
              u'8320',
              u'1444',
              u'17402',
              u'24907',
              u'4323',
              u'26133',
              u'13708',
              u'3640',
              u'1940',
              u'7534',
              u'10575',
              u'18504',
              u'26603',
              u'920',
              u'7055',
              u'27605',
              u'15811',
              u'28905',
              u'9305',
              u'663',
              u'6324',
              u'13536',
              u'23399',
              u'5979',
              u'10099',
              u'29525',
              u'9832',
              u'8046',
              u'20860',
              u'6659',
              u'13913',
              u'4352',
              u'822',
              u'25352',
              u'11519',
              u'1668',
              u'1132',
              u'20665',
              u'10729',
              u'7701',
              u'19230',
              u'22862',
              u'18720',
              u'22151',
              u'28641',
              u'21969',
              u'21745',
              u'19781',
              u'6174',
              u'23426',
              u'17735',
              u'7930',
              u'19569',
              u'28177',
              u'4661',
              u'14825',
              u'12835',
              u'8457',
              u'29339',
              u'6269',
              u'12193',
              u'16624',
              u'12199',
              u'8786',
              u'15338',
              u'22136',
              u'11969',
              u'13593',
              u'8789',
              u'20920',
              u'20293',
              u'9467',
              u'3001',
              u'2089',
              u'4742',
              u'6432',
              u'5295',
              u'7681',
              u'20088',
              u'170',
              u'22547',
              u'26331',
              u'23781',
              u'12102',
              u'12383',
              u'4449',
              u'8184',
              u'2623',
              u'7489',
              u'29166',
              u'21715',
              u'16152',
              u'34',
              u'14685',
              u'15548',
              u'11042',
              u'14533'],
             20: [u'29251',
              u'7823',
              u'12203',
              u'25342',
              u'27288',
              u'12845',
              u'569',
              u'16559',
              u'11194',
              u'4163',
              u'10459',
              u'24703',
              u'11316',
              u'21251',
              u'14527',
              u'13005',
              u'9020',
              u'22297',
              u'17168',
              u'23711',
              u'8831',
              u'11929',
              u'4952',
              u'21862',
              u'19541',
              u'19065',
              u'27369',
              u'4013',
              u'24774',
              u'21972',
              u'6104',
              u'22021',
              u'20653',
              u'9979',
              u'13745',
              u'9418',
              u'13382',
              u'22758',
              u'5231',
              u'17762',
              u'6888',
              u'17377',
              u'24183',
              u'20074',
              u'19066',
              u'11485',
              u'21467',
              u'12255',
              u'9028',
              u'2397',
              u'7899',
              u'14607',
              u'13101',
              u'21817',
              u'2729',
              u'6719',
              u'10351',
              u'5061',
              u'16937',
              u'12242',
              u'28938',
              u'8776',
              u'8330',
              u'24742',
              u'974',
              u'28483',
              u'24972',
              u'15962',
              u'4056',
              u'7109',
              u'7771',
              u'7621',
              u'8752',
              u'7746',
              u'25724',
              u'21707',
              u'3086',
              u'6009',
              u'2514',
              u'19730',
              u'2521',
              u'25442',
              u'22584',
              u'15813',
              u'25324',
              u'11221',
              u'772',
              u'2463',
              u'18304',
              u'26707',
              u'1945',
              u'7732',
              u'18560',
              u'24145',
              u'19953',
              u'3046',
              u'2043',
              u'18794',
              u'5317',
              u'25759',
              u'2175',
              u'8805',
              u'6880',
              u'9371',
              u'17307'],
             21: [u'24466',
              u'21133',
              u'8689',
              u'26392',
              u'17141',
              u'20253',
              u'19411',
              u'19410',
              u'15758',
              u'7554',
              u'28469',
              u'28690',
              u'11660',
              u'27450',
              u'19240',
              u'17565',
              u'3687',
              u'2097',
              u'8473',
              u'13996',
              u'25987',
              u'10739',
              u'7128',
              u'24213',
              u'2312',
              u'347',
              u'2977',
              u'8811',
              u'9774',
              u'17137',
              u'2773',
              u'20570',
              u'26955',
              u'28385',
              u'5646',
              u'24429',
              u'11128',
              u'2456',
              u'4705',
              u'10697',
              u'24944',
              u'6263',
              u'15137',
              u'27658',
              u'7376',
              u'9471',
              u'10156',
              u'9968',
              u'12038',
              u'275',
              u'29362',
              u'12036',
              u'29127',
              u'12871',
              u'24511',
              u'16163',
              u'16929',
              u'19078',
              u'20981',
              u'4671',
              u'12984',
              u'14455',
              u'11790',
              u'13990',
              u'27035',
              u'2060',
              u'24428',
              u'6845',
              u'3305',
              u'20248',
              u'13792',
              u'21562',
              u'22009',
              u'15551',
              u'7155',
              u'17380',
              u'10112',
              u'12576',
              u'14956',
              u'16505',
              u'6862',
              u'424',
              u'20429',
              u'18533',
              u'7206',
              u'13785',
              u'27031',
              u'10079',
              u'9940',
              u'21771',
              u'876',
              u'15898',
              u'13975',
              u'2571',
              u'14440',
              u'11983',
              u'19963',
              u'6482',
              u'15203',
              u'7416',
              u'6910',
              u'19352',
              u'18885',
              u'25203',
              u'7360',
              u'16081',
              u'3888',
              u'18708',
              u'17519',
              u'5712',
              u'23328',
              u'22761',
              u'11893',
              u'14093',
              u'14385',
              u'12744',
              u'8754',
              u'9173',
              u'14283',
              u'7021',
              u'18931',
              u'14940',
              u'25299',
              u'29050',
              u'3213',
              u'21402',
              u'19702',
              u'25997',
              u'3573',
              u'20266',
              u'24362',
              u'19988',
              u'8247',
              u'28517',
              u'20319',
              u'26007',
              u'20369',
              u'4397',
              u'13661',
              u'11833',
              u'20284',
              u'10338',
              u'17495',
              u'10886',
              u'24465',
              u'23772',
              u'22380',
              u'28837',
              u'15559',
              u'27303',
              u'11657',
              u'493',
              u'7675',
              u'20779',
              u'1235',
              u'23170',
              u'13082',
              u'25957',
              u'16521',
              u'12511',
              u'3693',
              u'14626',
              u'586',
              u'16148',
              u'1951',
              u'20016',
              u'16826',
              u'10180',
              u'24165',
              u'24168',
              u'7539',
              u'12765',
              u'16919',
              u'1209',
              u'23712',
              u'3875',
              u'24775',
              u'5610',
              u'6683',
              u'6001',
              u'26145',
              u'23622',
              u'5306',
              u'11409',
              u'19359',
              u'10096',
              u'10216',
              u'6522',
              u'16843',
              u'2143',
              u'26226',
              u'2886',
              u'22051',
              u'10696',
              u'25325',
              u'5011',
              u'13195',
              u'13679',
              u'1080',
              u'7864',
              u'26147',
              u'26744',
              u'8005',
              u'16668',
              u'5490',
              u'8010',
              u'11288',
              u'17358',
              u'37',
              u'1204',
              u'8718',
              u'22405',
              u'17884',
              u'7650',
              u'1697',
              u'6563',
              u'25547',
              u'23352',
              u'26419',
              u'6090',
              u'24135',
              u'9631',
              u'5689',
              u'13268',
              u'2093',
              u'18863',
              u'16877',
              u'5182',
              u'27884',
              u'3629',
              u'23155',
              u'9705',
              u'22045',
              u'5389'],
             22: [u'21019',
              u'16065',
              u'10269',
              u'338',
              u'2298',
              u'4337',
              u'19917',
              u'4916',
              u'25091',
              u'10478',
              u'1251',
              u'4882',
              u'17364',
              u'14330',
              u'679',
              u'17690',
              u'27234',
              u'17925',
              u'7432',
              u'29077',
              u'20177',
              u'5045',
              u'13443',
              u'5678',
              u'15571',
              u'26315',
              u'9887',
              u'26138',
              u'25766',
              u'3487',
              u'26788',
              u'27050',
              u'17876',
              u'15388',
              u'13089',
              u'4809',
              u'13383',
              u'21188',
              u'13617',
              u'4506',
              u'9905',
              u'508',
              u'12637',
              u'2088',
              u'6990',
              u'3162',
              u'7584',
              u'10350',
              u'28589',
              u'5199',
              u'7926',
              u'12079',
              u'765',
              u'2557',
              u'15390',
              u'2366',
              u'29543',
              u'19289',
              u'22542',
              u'6858',
              u'21815',
              u'13727',
              u'2356',
              u'24475',
              u'22894',
              u'9673',
              u'884',
              u'201',
              u'20468',
              u'20810',
              u'13938',
              u'9107',
              u'18901',
              u'9582',
              u'22570',
              u'29069',
              u'18893',
              u'20143',
              u'4007',
              u'4190',
              u'17029',
              u'25455',
              u'15945',
              u'6326',
              u'5031',
              u'16629',
              u'25862',
              u'9346',
              u'27313',
              u'3748',
              u'3840',
              u'15775',
              u'28130',
              u'25330',
              u'7304',
              u'11013',
              u'6361',
              u'5457',
              u'4676',
              u'10980',
              u'25572',
              u'17420',
              u'983',
              u'3430',
              u'1715',
              u'27515',
              u'10676',
              u'21959',
              u'85',
              u'20734',
              u'19007',
              u'4313',
              u'25160',
              u'28389',
              u'26094',
              u'9685',
              u'27948',
              u'9062',
              u'17334',
              u'10313',
              u'25751',
              u'1488',
              u'20877',
              u'28484',
              u'16099',
              u'24544',
              u'4068',
              u'2386',
              u'17855',
              u'2065',
              u'29458',
              u'22754',
              u'26500',
              u'9004',
              u'253',
              u'15582',
              u'25662',
              u'17686',
              u'19825',
              u'17182',
              u'2260',
              u'19743',
              u'29522',
              u'9545',
              u'10787',
              u'6484',
              u'141',
              u'6870',
              u'27666',
              u'7651',
              u'67',
              u'9524',
              u'25250',
              u'15029',
              u'15618',
              u'24198',
              u'29124',
              u'1516',
              u'26798',
              u'13802',
              u'14522',
              u'7740',
              u'26784',
              u'26605',
              u'16086',
              u'6704',
              u'22261',
              u'16057',
              u'26912',
              u'26143',
              u'10019',
              u'7683',
              u'11886',
              u'20190',
              u'11728',
              u'19026',
              u'16490',
              u'16553',
              u'2130',
              u'28474',
              u'24987',
              u'607',
              u'24445',
              u'4928',
              u'7597',
              u'22812',
              u'12682',
              u'6403',
              u'29040',
              u'3932',
              u'10804',
              u'11053',
              u'3022',
              u'29345',
              u'511',
              u'10611',
              u'15891',
              u'17268',
              u'20801',
              u'19251',
              u'29340',
              u'28481',
              u'7886',
              u'27199',
              u'23156',
              u'1561',
              u'26196',
              u'26268',
              u'25851',
              u'15099',
              u'657',
              u'2534',
              u'20400',
              u'17125',
              u'14506',
              u'2890',
              u'18584'],
             23: [u'24052',
              u'11177',
              u'14808',
              u'4938',
              u'21271',
              u'7610',
              u'26737',
              u'23143',
              u'25994',
              u'27798',
              u'22877',
              u'799',
              u'9378',
              u'22256',
              u'7313',
              u'16006',
              u'27472',
              u'22204',
              u'1103',
              u'13912',
              u'6953',
              u'10819',
              u'18741',
              u'28537',
              u'22328',
              u'2027',
              u'8723',
              u'6593',
              u'10232',
              u'9816',
              u'24403',
              u'28401',
              u'7947',
              u'6101',
              u'2673',
              u'24812',
              u'17340',
              u'18246',
              u'17888',
              u'8032',
              u'21174',
              u'11338',
              u'25087',
              u'3568',
              u'20736',
              u'18580',
              u'8560',
              u'6751',
              u'23519',
              u'15792',
              u'26642',
              u'23310',
              u'2545',
              u'20933',
              u'18932',
              u'19004',
              u'5264',
              u'13273',
              u'21957',
              u'23871',
              u'20029',
              u'2820',
              u'14031',
              u'20200',
              u'14673',
              u'16588',
              u'24313',
              u'23456',
              u'4474',
              u'29517',
              u'3294',
              u'12299',
              u'25204',
              u'22104',
              u'10645',
              u'29130',
              u'2813',
              u'18411',
              u'7298',
              u'28681',
              u'4564',
              u'12185',
              u'18583',
              u'10973',
              u'21193',
              u'27603',
              u'21756',
              u'23947',
              u'13141',
              u'18014',
              u'12586',
              u'4520',
              u'15833',
              u'18259',
              u'4076',
              u'8334',
              u'28789',
              u'8612',
              u'9065',
              u'29321',
              u'1279',
              u'17159',
              u'17548',
              u'15177',
              u'22117',
              u'20043',
              u'20788',
              u'1920',
              u'14655',
              u'19010',
              u'8728',
              u'28828',
              u'29598',
              u'5286',
              u'28915',
              u'22230',
              u'1263',
              u'25585',
              u'12287',
              u'23389',
              u'6950',
              u'13630',
              u'13236',
              u'16349',
              u'19507',
              u'29370',
              u'8471',
              u'25632',
              u'1255',
              u'22372',
              u'16400',
              u'11628',
              u'1324',
              u'8251',
              u'23174',
              u'4226',
              u'4853',
              u'18021',
              u'22892',
              u'5030',
              u'26910',
              u'13849',
              u'25165',
              u'15976',
              u'8734',
              u'13858',
              u'13775',
              u'26919',
              u'18897',
              u'315',
              u'1061',
              u'16032',
              u'3087',
              u'14766',
              u'4698',
              u'1411',
              u'29463',
              u'12726',
              u'19828',
              u'18300',
              u'24357',
              u'767',
              u'7724',
              u'23148',
              u'12021',
              u'5513',
              u'3163',
              u'6754',
              u'17109',
              u'23444',
              u'20183',
              u'8104',
              u'13608',
              u'1565',
              u'15212',
              u'7446',
              u'22373',
              u'6743',
              u'24114',
              u'3413',
              u'12954',
              u'1879',
              u'5176',
              u'3270',
              u'16564',
              u'7511',
              u'19005',
              u'28782',
              u'4838',
              u'11771',
              u'26440',
              u'9942',
              u'9709',
              u'9717',
              u'10034',
              u'16741',
              u'21698',
              u'14291',
              u'3941',
              u'19152',
              u'20363',
              u'8883',
              u'13377',
              u'11805',
              u'985',
              u'12867',
              u'6231',
              u'9356',
              u'16150',
              u'5910',
              u'24269',
              u'22997',
              u'27060',
              u'14226',
              u'14306',
              u'21372',
              u'21597'],
             24: [u'28623',
              u'19612',
              u'620',
              u'5794',
              u'19826',
              u'16122',
              u'1826',
              u'21580',
              u'26277',
              u'5437',
              u'24305',
              u'7561',
              u'19880',
              u'12330',
              u'5367',
              u'21692',
              u'4963',
              u'16892',
              u'28304',
              u'2069',
              u'16278',
              u'28678',
              u'6780',
              u'6200',
              u'22375',
              u'20555',
              u'5352',
              u'16479',
              u'2999',
              u'9039',
              u'13103',
              u'14982',
              u'4522',
              u'16211',
              u'14349',
              u'3739',
              u'26696',
              u'10187',
              u'19642',
              u'2931',
              u'9960',
              u'3344',
              u'27765',
              u'9272',
              u'18143',
              u'9596',
              u'7478',
              u'153',
              u'845',
              u'27817',
              u'13960',
              u'8516',
              u'17404',
              u'16138',
              u'4921',
              u'15086',
              u'13830',
              u'7366',
              u'3930',
              u'24600',
              u'11349',
              u'10552',
              u'26201',
              u'22704',
              u'20698',
              u'4336',
              u'3818',
              u'6216',
              u'19119',
              u'25857',
              u'21084',
              u'29028',
              u'3542',
              u'2329',
              u'8458',
              u'24193',
              u'5600',
              u'10593',
              u'2471',
              u'26560',
              u'16288',
              u'17372',
              u'3879',
              u'9120',
              u'20281',
              u'4097',
              u'10862',
              u'12091',
              u'12357',
              u'9459',
              u'2679',
              u'18131',
              u'13385',
              u'20228',
              u'2752',
              u'7520',
              u'14609',
              u'4406',
              u'16770',
              u'24350',
              u'21988',
              u'22779',
              u'1669',
              u'22103',
              u'2227',
              u'14290',
              u'26512',
              u'18089',
              u'12794',
              u'27400',
              u'1432',
              u'14656',
              u'15693',
              u'21091',
              u'17806',
              u'4606',
              u'18475',
              u'1666',
              u'17549',
              u'25584',
              u'857',
              u'4791',
              u'23810',
              u'7736',
              u'19550',
              u'78',
              u'17070',
              u'4626',
              u'29292',
              u'3415',
              u'9323',
              u'12378',
              u'15735',
              u'12993',
              u'22666',
              u'3804',
              u'17785',
              u'7497',
              u'3569',
              u'29238',
              u'23110',
              u'3580',
              u'11666',
              u'13040',
              u'20558',
              u'23288',
              u'10368',
              u'27236',
              u'1824',
              u'22816',
              u'22126',
              u'1288',
              u'27419',
              u'7596',
              u'6725',
              u'18987',
              u'4545',
              u'20062',
              u'15590',
              u'10306',
              u'14555',
              u'4575',
              u'13289',
              u'3380',
              u'21426',
              u'12677',
              u'26300',
              u'25111',
              u'21754',
              u'5720',
              u'14675',
              u'26581',
              u'16734',
              u'15059',
              u'4494',
              u'26119',
              u'4805',
              u'11898',
              u'23256',
              u'15919',
              u'5101',
              u'29444',
              u'7940',
              u'22318',
              u'9396',
              u'6481',
              u'7579',
              u'3416',
              u'14616',
              u'27460',
              u'4277',
              u'11319',
              u'11251',
              u'27165',
              u'19619',
              u'23654',
              u'7059',
              u'12888',
              u'27829',
              u'748',
              u'25368',
              u'4290',
              u'10148',
              u'5792',
              u'16723',
              u'7069',
              u'2192',
              u'23469',
              u'16424',
              u'20047',
              u'21249',
              u'16621',
              u'5521',
              u'27420',
              u'7448',
              u'7385',
              u'28584',
              u'28870',
              u'6995',
              u'11889',
              u'23450',
              u'9402',
              u'11228',
              u'26708',
              u'8993',
              u'20026',
              u'3612',
              u'28197',
              u'20491',
              u'12051',
              u'7777',
              u'24489',
              u'23340',
              u'7222',
              u'21982',
              u'26358',
              u'8422',
              u'25752',
              u'24543',
              u'27640',
              u'7839',
              u'25141',
              u'15991',
              u'14237',
              u'20230',
              u'21676',
              u'28803',
              u'24',
              u'24291',
              u'8814',
              u'18165',
              u'20875',
              u'16058',
              u'13073',
              u'18012',
              u'2266',
              u'28035',
              u'23103',
              u'4262',
              u'274',
              u'11755',
              u'10370',
              u'21381',
              u'7232',
              u'2112',
              u'9063',
              u'28547',
              u'13421',
              u'9175',
              u'124',
              u'1246',
              u'14065',
              u'13920',
              u'22457',
              u'11317',
              u'35',
              u'29605',
              u'10223',
              u'25450',
              u'25364',
              u'15615',
              u'25606',
              u'6759',
              u'24460',
              u'24181',
              u'19717',
              u'12281',
              u'12175',
              u'3060',
              u'1055',
              u'12468',
              u'11867',
              u'22281',
              u'13036',
              u'18845',
              u'25849',
              u'4801',
              u'4904',
              u'18749',
              u'5184',
              u'18803',
              u'2812',
              u'9306',
              u'9093',
              u'15063',
              u'9128',
              u'3412',
              u'27322',
              u'1465',
              u'18346',
              u'29471',
              u'13468',
              u'9539',
              u'24000',
              u'15040',
              u'16589',
              u'21946',
              u'23007',
              u'16011',
              u'20705',
              u'29424',
              u'8396',
              u'20510',
              u'29042',
              u'1930',
              u'12144',
              u'4697',
              u'29447',
              u'16265',
              u'506',
              u'7165',
              u'23094',
              u'18423',
              u'4663',
              u'10916',
              u'15726',
              u'21596',
              u'28732',
              u'8978',
              u'14602',
              u'27918',
              u'19863',
              u'23914',
              u'8338',
              u'9435',
              u'22615',
              u'19357'],
             25: [u'17749',
              u'10888',
              u'3111',
              u'25238',
              u'11355',
              u'11708',
              u'14304',
              u'12000',
              u'12385',
              u'7593',
              u'8211',
              u'931',
              u'11344',
              u'15949',
              u'19960',
              u'3971',
              u'22618',
              u'17863',
              u'9671',
              u'16732',
              u'13758',
              u'25554',
              u'1735',
              u'4533',
              u'20952',
              u'11649',
              u'13438',
              u'15950',
              u'6364',
              u'25040',
              u'24523',
              u'1991',
              u'19337',
              u'26577',
              u'9224',
              u'13286',
              u'10533',
              u'16715',
              u'21186',
              u'14124',
              u'29255',
              u'20306',
              u'7246',
              u'8149',
              u'18801',
              u'1106',
              u'27923',
              u'17778',
              u'23331',
              u'22559',
              u'29554',
              u'23461',
              u'17027',
              u'29257',
              u'19417',
              u'23504',
              u'7433',
              u'6844',
              u'15279',
              u'17108',
              u'19044',
              u'16841',
              u'7472',
              u'6041',
              u'15053',
              u'16245',
              u'11944',
              u'12010',
              u'27137',
              u'14510',
              u'9106',
              u'6672',
              u'14963',
              u'27568',
              u'10408',
              u'16691',
              u'7774',
              u'10582',
              u'22824',
              u'16583',
              u'21326',
              u'21121',
              u'10041',
              u'10125',
              u'12041',
              u'13719',
              u'19772',
              u'16052',
              u'265',
              u'4253',
              u'28696',
              u'27600',
              u'17697',
              u'19485',
              u'21949',
              u'15902',
              u'27489',
              u'22228',
              u'7436',
              u'6691',
              u'22985',
              u'17786',
              u'9690',
              u'2474',
              u'29217',
              u'19246',
              u'6038',
              u'24108',
              u'20962',
              u'4603',
              u'20753',
              u'6695',
              u'2455',
              u'11247',
              u'12327',
              u'9042',
              u'26439',
              u'27410',
              u'19624',
              u'10816',
              u'1313',
              u'23060',
              u'4828',
              u'5544',
              u'28119',
              u'12626',
              u'6968',
              u'11470',
              u'13344',
              u'17378',
              u'10959',
              u'3243',
              u'22634',
              u'13884',
              u'21227',
              u'4987',
              u'8692',
              u'9333',
              u'5078',
              u'3915',
              u'25966',
              u'17219',
              u'21822',
              u'8187',
              u'13835',
              u'23472',
              u'15165',
              u'21338',
              u'1586',
              u'16329',
              u'13497',
              u'8142',
              u'12601',
              u'3567',
              u'14302',
              u'12282',
              u'26261',
              u'20046',
              u'3939',
              u'10264',
              u'24739',
              u'25594',
              u'7409',
              u'6365',
              u'11853',
              u'20398',
              u'12838',
              u'8927',
              u'7550',
              u'15966',
              u'25710',
              u'22083',
              u'28565',
              u'24401',
              u'501',
              u'8557',
              u'28698',
              u'5968',
              u'7150',
              u'27516',
              u'28903',
              u'21779',
              u'21657',
              u'21711',
              u'1659',
              u'3320',
              u'12412',
              u'17836',
              u'20539',
              u'17174',
              u'12169',
              u'17381',
              u'14875',
              u'901',
              u'3027',
              u'10169',
              u'28631',
              u'25940',
              u'25575',
              u'8573',
              u'7914',
              u'27260',
              u'2159',
              u'26870',
              u'23467',
              u'3666',
              u'11802',
              u'129',
              u'10932',
              u'18724',
              u'21410',
              u'8589',
              u'28758',
              u'20178',
              u'18951',
              u'1294',
              u'5221',
              u'28433',
              u'2479',
              u'20820',
              u'23480',
              u'21536',
              u'11448',
              u'13493',
              u'20750',
              u'12085',
              u'19823',
              u'452',
              u'22896',
              u'25180',
              u'17526',
              u'18177',
              u'10081',
              u'27128',
              u'3349',
              u'13808',
              u'1655',
              u'17150',
              u'23391',
              u'13327',
              u'11178',
              u'19280',
              u'22006',
              u'10049',
              u'12759',
              u'19957',
              u'12811',
              u'23132',
              u'11796',
              u'12259'],
             26: [u'6636',
              u'25733',
              u'17720',
              u'1189',
              u'25628',
              u'23332',
              u'9081',
              u'9867',
              u'672',
              u'26886',
              u'11061',
              u'22527',
              u'20267',
              u'5110',
              u'26328',
              u'1708',
              u'15049',
              u'27490',
              u'24147',
              u'12027',
              u'25449',
              u'29366',
              u'10349',
              u'26118',
              u'8307',
              u'28056',
              u'1004',
              u'9194',
              u'8785',
              u'16679',
              u'911',
              u'312',
              u'7387',
              u'9150',
              u'4845',
              u'23084',
              u'9296',
              u'25932',
              u'29022',
              u'3825',
              u'3203',
              u'12956',
              u'12090',
              u'5608',
              u'1417',
              u'24790',
              u'5175',
              u'545',
              u'29396',
              u'12143',
              u'17367',
              u'7629',
              u'18117',
              u'11246',
              u'12934',
              u'8997',
              u'9427',
              u'23165',
              u'29218',
              u'1556',
              u'15541',
              u'26020',
              u'8226',
              u'14659',
              u'922',
              u'5278',
              u'14806',
              u'15292',
              u'26565',
              u'14236',
              u'22343',
              u'21995',
              u'18440',
              u'17211',
              u'8784',
              u'25007',
              u'5197',
              u'13472',
              u'19214',
              u'3129',
              u'17731',
              u'22554',
              u'20187',
              u'21672',
              u'22396',
              u'4053',
              u'9785',
              u'6749',
              u'27267',
              u'26091',
              u'5310',
              u'22153',
              u'22733',
              u'13318',
              u'15729',
              u'24110',
              u'12451',
              u'4814',
              u'12301',
              u'10293',
              u'6898',
              u'23769',
              u'15672',
              u'760',
              u'5348',
              u'12316',
              u'2985',
              u'7336',
              u'4841',
              u'8327',
              u'19548',
              u'4402',
              u'17383',
              u'28447',
              u'26907',
              u'2570',
              u'16503',
              u'9040',
              u'29419',
              u'15142',
              u'28755',
              u'13664',
              u'19543',
              u'16571',
              u'7991',
              u'23188',
              u'4119',
              u'20425',
              u'23724',
              u'10988',
              u'14453',
              u'20848',
              u'14724',
              u'23283',
              u'14354',
              u'16760',
              u'15363',
              u'806',
              u'20514',
              u'14131',
              u'16968',
              u'19699',
              u'11680',
              u'17017',
              u'26473',
              u'22266',
              u'5289'],
             27: [u'13434',
              u'15563',
              u'11237',
              u'20371',
              u'6932',
              u'28270',
              u'23462',
              u'8910',
              u'22075',
              u'24861',
              u'12001',
              u'2504',
              u'1384',
              u'6051',
              u'1098',
              u'11968',
              u'3874',
              u'1354',
              u'5988',
              u'22335',
              u'9874',
              u'16473',
              u'27471',
              u'22662',
              u'29537',
              u'2540',
              u'13296',
              u'5707',
              u'14326',
              u'18032',
              u'19938',
              u'18538',
              u'2558',
              u'24548',
              u'6147',
              u'24505',
              u'24662',
              u'24010',
              u'205',
              u'16476',
              u'15503',
              u'8512',
              u'3546',
              u'25003',
              u'17775',
              u'19839',
              u'19776',
              u'4356',
              u'17651',
              u'16187',
              u'9603',
              u'26204',
              u'14939',
              u'28933',
              u'2686',
              u'29505',
              u'5023',
              u'9714',
              u'2936',
              u'14118',
              u'14077',
              u'11308',
              u'18919',
              u'8895',
              u'28787',
              u'20748',
              u'3716',
              u'29274',
              u'16591',
              u'3316',
              u'12492',
              u'8402',
              u'4905',
              u'28219',
              u'3924',
              u'8724',
              u'11697',
              u'15587',
              u'8747',
              u'1759',
              u'9985',
              u'24152',
              u'1355',
              u'7636',
              u'10530',
              u'23684',
              u'9934',
              u'27852',
              u'6140',
              u'5674',
              u'14362',
              u'24251',
              u'21897',
              u'10517',
              u'5904',
              u'17890',
              u'1424',
              u'16173',
              u'147',
              u'26095',
              u'5806',
              u'6065',
              u'15979',
              u'3275',
              u'26030',
              u'476',
              u'14840',
              u'25817',
              u'25660',
              u'3868',
              u'13512',
              u'11035',
              u'996',
              u'23729',
              u'2064',
              u'8552',
              u'24983',
              u'2337',
              u'24507',
              u'2910',
              u'14106',
              u'18175',
              u'27725',
              u'18037',
              u'12592',
              u'11314',
              u'19838',
              u'29327',
              u'9180',
              u'12086',
              u'14443',
              u'24011',
              u'20465',
              u'8137',
              u'11600',
              u'9397',
              u'4036',
              u'19455',
              u'22444',
              u'12543',
              u'4063',
              u'7426',
              u'7648',
              u'3222',
              u'25653',
              u'24182',
              u'14195',
              u'13544',
              u'12893',
              u'2533',
              u'13768',
              u'25664',
              u'23439',
              u'14562',
              u'18576',
              u'2801',
              u'27788',
              u'21333',
              u'9512',
              u'15395',
              u'27022',
              u'9199',
              u'9511',
              u'8526',
              u'10447',
              u'19162',
              u'14016',
              u'1034',
              u'4849',
              u'24157',
              u'16127',
              u'21641',
              u'27007',
              u'11849',
              u'22417',
              u'25103',
              u'4532',
              u'17344',
              u'27777',
              u'15324',
              u'3680',
              u'1389',
              u'5726',
              u'15628',
              u'15556',
              u'22218',
              u'10646',
              u'26786',
              u'5098',
              u'28939',
              u'14764',
              u'23614',
              u'19133',
              u'20031',
              u'7263'],
             28: [u'7123',
              u'18925',
              u'19050',
              u'24688',
              u'27618',
              u'21599',
              u'24862',
              u'21670',
              u'21018',
              u'288',
              u'11229',
              u'18858',
              u'7778',
              u'23898',
              u'11780',
              u'16581',
              u'23135',
              u'3677',
              u'13283',
              u'25080',
              u'28576',
              u'22356',
              u'20413',
              u'20420',
              u'27779',
              u'2051',
              u'4415',
              u'1506',
              u'10201',
              u'2117',
              u'10779',
              u'5691',
              u'743',
              u'20632',
              u'7018',
              u'24283',
              u'7902',
              u'3639',
              u'16439',
              u'22445',
              u'4897',
              u'7943',
              u'25275',
              u'28094',
              u'10042',
              u'9255',
              u'3396',
              u'17931',
              u'3197',
              u'7272',
              u'28872',
              u'27258',
              u'5756',
              u'10267',
              u'21192',
              u'26538',
              u'26882',
              u'15031',
              u'15679',
              u'18060',
              u'15627',
              u'19439',
              u'16905',
              u'15132',
              u'19514',
              u'18183',
              u'7693',
              u'12336',
              u'17323',
              u'20131',
              u'24318',
              u'18942',
              u'247',
              u'27131',
              u'1185',
              u'188',
              u'10291',
              u'17614',
              u'17987',
              u'7067',
              u'11999',
              u'11732',
              u'23385',
              u'23624',
              u'15400',
              u'23299',
              u'1911',
              u'19500',
              u'25272',
              u'29019',
              u'11140',
              u'11768',
              u'14127',
              u'8527',
              u'21894',
              u'25414',
              u'15190',
              u'16897',
              u'29223',
              u'16123',
              u'28630',
              u'2208',
              u'3865',
              u'13171',
              u'25372',
              u'10859',
              u'8132',
              u'26360',
              u'10785',
              u'7100',
              u'7666',
              u'18167',
              u'17054',
              u'13629',
              u'6712',
              u'25896',
              u'9961',
              u'14122',
              u'2237',
              u'26499',
              u'12065',
              u'17342',
              u'23158',
              u'1517',
              u'27924',
              u'29325',
              u'4831',
              u'9047',
              u'11277',
              u'10605',
              u'14179',
              u'21184',
              u'8168',
              u'729',
              u'25183',
              u'11466',
              u'23464',
              u'2841',
              u'1544',
              u'2622',
              u'23817',
              u'20104',
              u'5737',
              u'16944',
              u'12472',
              u'4579',
              u'1423',
              u'10365',
              u'4263',
              u'18104',
              u'23424',
              u'23926',
              u'25637',
              u'15394',
              u'11326',
              u'23876',
              u'26792',
              u'26380',
              u'402',
              u'15067',
              u'714',
              u'5121',
              u'21142',
              u'18625',
              u'24642',
              u'2482',
              u'23100',
              u'14196',
              u'14503',
              u'12779',
              u'1907',
              u'4234',
              u'10253',
              u'2137',
              u'13411',
              u'25259',
              u'17765',
              u'2819',
              u'6591',
              u'27335',
              u'25808',
              u'4968',
              u'28638',
              u'29288',
              u'3877',
              u'4451',
              u'15179',
              u'21998',
              u'19463',
              u'17441',
              u'19976',
              u'25801',
              u'9157',
              u'25253',
              u'16924',
              u'22355',
              u'19113',
              u'10891',
              u'8405',
              u'17267',
              u'2341',
              u'6822',
              u'4135',
              u'28813',
              u'4719',
              u'9161',
              u'20792',
              u'28868',
              u'21105',
              u'7133',
              u'13540',
              u'22064',
              u'4912',
              u'27033',
              u'26132',
              u'28597',
              u'26670',
              u'9636',
              u'15970',
              u'22614',
              u'22087',
              u'24928',
              u'28136',
              u'12003',
              u'18827',
              u'19387',
              u'24264',
              u'15188',
              u'1366',
              u'13590',
              u'22467',
              u'9075',
              u'12238',
              u'6442',
              u'11147',
              u'18687',
              u'21380',
              u'22065',
              u'26775',
              u'14112',
              u'11572',
              u'28442',
              u'14720',
              u'7628',
              u'25799',
              u'21849',
              u'69',
              u'28722',
              u'18079',
              u'10287',
              u'17063',
              u'11454',
              u'16605',
              u'19189',
              u'11941',
              u'1681',
              u'6193',
              u'9936',
              u'21183',
              u'23981',
              u'1545',
              u'10679',
              u'13769',
              u'13580',
              u'26340',
              u'3340',
              u'13626',
              u'2155',
              u'14953',
              u'3864',
              u'1973',
              u'2996',
              u'7723',
              u'25159',
              u'2971',
              u'19040',
              u'63',
              u'28781',
              u'19015',
              u'25658',
              u'22795',
              u'15996',
              u'1560',
              u'8090',
              u'5154',
              u'7435',
              u'2756',
              u'15598',
              u'15837',
              u'16962',
              u'21259',
              u'8398',
              u'14450',
              u'22277',
              u'21067',
              u'12933',
              u'28010',
              u'16920',
              u'28504',
              u'21144',
              u'25906',
              u'2989',
              u'24553',
              u'14041',
              u'13058',
              u'14679',
              u'24054',
              u'25894',
              u'20464',
              u'29189',
              u'28525',
              u'16675',
              u'9458',
              u'8460',
              u'21210',
              u'16019',
              u'17934',
              u'16290',
              u'6376',
              u'17410',
              u'20837',
              u'20847',
              u'16384',
              u'25811',
              u'12815',
              u'12785',
              u'1266',
              u'9657',
              u'22739',
              u'10823',
              u'3747',
              u'12735',
              u'7580',
              u'26491',
              u'10955',
              u'8042',
              u'14427',
              u'7253',
              u'21966',
              u'19670',
              u'6813',
              u'25706',
              u'19546',
              u'4507',
              u'9781',
              u'6205',
              u'23008',
              u'12136',
              u'24239',
              u'12325',
              u'28413',
              u'15769',
              u'14051',
              u'29326',
              u'10913',
              u'19434',
              u'3242',
              u'2172',
              u'9202',
              u'4531',
              u'17007',
              u'22887',
              u'28543',
              u'26725',
              u'16712',
              u'25009',
              u'16170',
              u'12213',
              u'935',
              u'28748',
              u'20485',
              u'11036',
              u'8009',
              u'17960',
              u'28705',
              u'7794',
              u'19132',
              u'21295',
              u'2468',
              u'5505',
              u'23106',
              u'19256',
              u'3188',
              u'22598',
              u'29281',
              u'17816',
              u'23920',
              u'27598',
              u'28617',
              u'8603',
              u'19125',
              u'26046',
              u'18122',
              u'7355',
              u'8979',
              u'19941',
              u'11974',
              u'21047',
              u'12354',
              u'14909',
              u'25221',
              u'22221',
              u'20410',
              u'18493',
              u'21331',
              u'21930',
              u'6783',
              u'3793',
              u'12166',
              u'2183',
              u'713',
              u'19107',
              u'24817',
              u'11672',
              u'27340',
              u'23618',
              u'16464',
              u'27237',
              u'25614',
              u'26619',
              u'1925',
              u'4096',
              u'14645',
              u'21166',
              u'11066',
              u'17811',
              u'17271',
              u'16423',
              u'6874',
              u'12335',
              u'13429',
              u'17601',
              u'10792',
              u'11529',
              u'18563',
              u'13326',
              u'6125',
              u'26509',
              u'19020',
              u'13541',
              u'15492',
              u'12895',
              u'15797',
              u'2596',
              u'15258',
              u'27512',
              u'21197',
              u'9939',
              u'17238',
              u'14665',
              u'18056',
              u'14395',
              u'25853',
              u'22334',
              u'8133'],
             29: [u'12661',
              u'24678',
              u'12982',
              u'16580',
              u'23668',
              u'8506',
              u'22458',
              u'906',
              u'25377',
              u'17705',
              u'3790',
              u'3384',
              u'14801',
              u'15270',
              u'1440',
              u'20765',
              u'18780',
              u'28572',
              u'3144',
              u'20343',
              u'24419',
              u'8163',
              u'23443',
              u'5671',
              u'16149',
              u'24274',
              u'24339',
              u'1671',
              u'12624',
              u'18268',
              u'20965',
              u'21089',
              u'26318',
              u'18879',
              u'3633',
              u'15204',
              u'12904',
              u'18927',
              u'4127',
              u'18707',
              u'3960',
              u'25336',
              u'21533',
              u'2395',
              u'24533',
              u'22864',
              u'6518',
              u'21086',
              u'4611',
              u'24514',
              u'12884',
              u'20631',
              u'18978',
              u'20687',
              u'4170',
              u'23020',
              u'8110',
              u'4389',
              u'16812',
              u'28430',
              u'24211',
              u'13075',
              u'16121',
              u'10751',
              u'1853',
              u'21613',
              u'29205',
              u'8712',
              u'28462',
              u'17698',
              u'2994',
              u'29243',
              u'10770',
              u'25001',
              u'25958',
              u'5028',
              u'23140',
              u'18949',
              u'22533',
              u'15625',
              u'16604',
              u'19732',
              u'3502',
              u'16713',
              u'15176',
              u'26275',
              u'1202',
              u'11206',
              u'10715',
              u'23966',
              u'27678',
              u'11984',
              u'26208',
              u'22341',
              u'24144',
              u'28975',
              u'9055',
              u'29504',
              u'20217',
              u'17780',
              u'15283',
              u'13211',
              u'17635',
              u'27995',
              u'27076',
              u'23555',
              u'28403',
              u'15219',
              u'2868',
              u'16831',
              u'20673',
              u'29555',
              u'9731',
              u'3852',
              u'21938',
              u'24598',
              u'15767',
              u'17783',
              u'21762',
              u'4312',
              u'24133',
              u'5628',
              u'21801',
              u'28976',
              u'20507',
              u'9561',
              u'9505',
              u'24942',
              u'12178',
              u'9143',
              u'1186',
              u'13042',
              u'8100',
              u'11897',
              u'14188',
              u'26655',
              u'19391',
              u'10938',
              u'1228',
              u'3457',
              u'16821',
              u'20355',
              u'6169',
              u'9967',
              u'12045',
              u'11747',
              u'3907',
              u'3117',
              u'5831',
              u'24351',
              u'16535',
              u'20593',
              u'25873',
              u'28798',
              u'13202',
              u'12851',
              u'29453',
              u'23438',
              u'9978',
              u'4074',
              u'10130',
              u'6033',
              u'18090',
              u'9261',
              u'28223',
              u'4026',
              u'8531',
              u'16307',
              u'9988',
              u'652',
              u'9900',
              u'4693',
              u'27193',
              u'18895',
              u'6248',
              u'26888',
              u'6062',
              u'19882',
              u'27141',
              u'5956',
              u'26005',
              u'11399',
              u'15535',
              u'19947',
              u'29001',
              u'18027',
              u'27641',
              u'25767',
              u'3462',
              u'20406',
              u'28883',
              u'9390',
              u'15345',
              u'10270',
              u'3665',
              u'1300',
              u'2519',
              u'20052',
              u'20692',
              u'428',
              u'18981',
              u'16772',
              u'27239',
              u'1125',
              u'13122',
              u'27503',
              u'23186',
              u'21185',
              u'9310',
              u'411',
              u'13342',
              u'6389',
              u'12544',
              u'14334',
              u'18964',
              u'5945',
              u'10846',
              u'19943',
              u'7523',
              u'29586',
              u'6224',
              u'20517',
              u'27718',
              u'17350',
              u'16204'],
             30: [u'20802',
              u'140',
              u'968',
              u'12124',
              u'21011',
              u'2215',
              u'1598',
              u'21389',
              u'22550',
              u'25213',
              u'25068',
              u'26580',
              u'17750',
              u'16346',
              u'9540',
              u'12961',
              u'27606',
              u'6316',
              u'360',
              u'20247',
              u'17586',
              u'26372',
              u'23323',
              u'14381',
              u'27784',
              u'9483',
              u'14121',
              u'14889',
              u'13950',
              u'16118',
              u'22345',
              u'27851',
              u'8555',
              u'6031',
              u'12535',
              u'346',
              u'29580',
              u'9820',
              u'4106',
              u'1954',
              u'16390',
              u'14584',
              u'28498',
              u'5303',
              u'7578',
              u'21666',
              u'20040',
              u'12572',
              u'15956',
              u'14737',
              u'7982',
              u'16617',
              u'23214',
              u'27803',
              u'3600',
              u'13783',
              u'10203',
              u'28329',
              u'29572',
              u'4891',
              u'23146',
              u'28924',
              u'26954',
              u'12057',
              u'22647',
              u'16367',
              u'23830',
              u'17016',
              u'27052',
              u'19652',
              u'1540',
              u'10333',
              u'294',
              u'1577',
              u'22544',
              u'13980',
              u'21034',
              u'13406',
              u'23320',
              u'6235',
              u'7269',
              u'12251',
              u'11408',
              u'14003',
              u'15296',
              u'768',
              u'12597',
              u'7779',
              u'13861',
              u'11847',
              u'14751',
              u'22665',
              u'26019',
              u'13865',
              u'4662',
              u'4165',
              u'22134',
              u'7281',
              u'4837',
              u'18407',
              u'3290',
              u'3514',
              u'8185',
              u'7185',
              u'7349',
              u'16625',
              u'21488',
              u'24495',
              u'1498',
              u'20102',
              u'9964',
              u'22825',
              u'5970',
              u'11069',
              u'3252',
              u'21660',
              u'1849',
              u'17147',
              u'14280',
              u'23011',
              u'13643',
              u'26123',
              u'25826',
              u'14183',
              u'6056',
              u'14971',
              u'21203',
              u'13234',
              u'5810',
              u'27085',
              u'18887',
              u'17928',
              u'29387',
              u'8766',
              u'14921',
              u'27090',
              u'11256',
              u'19271',
              u'10067',
              u'17557',
              u'2860',
              u'2978',
              u'21441',
              u'24644',
              u'29160',
              u'5617',
              u'20868',
              u'6623',
              u'7697',
              u'12681',
              u'12250',
              u'10121',
              u'17879',
              u'15313',
              u'17802',
              u'28081',
              u'20676',
              u'24951',
              u'24613',
              u'27831',
              u'10869',
              u'6556',
              u'8379',
              u'24745',
              u'20354',
              u'14908',
              u'24217',
              u'24597',
              u'8023',
              u'24281',
              u'1020',
              u'21532',
              u'5738',
              u'644',
              u'9585',
              u'6892',
              u'25370',
              u'5063',
              u'25697',
              u'11645',
              u'2808',
              u'4929',
              u'28314',
              u'28720',
              u'24801',
              u'6069',
              u'14813',
              u'11425',
              u'19017',
              u'23537',
              u'19537',
              u'9258',
              u'3426',
              u'14732',
              u'5263',
              u'25310',
              u'25498',
              u'23491',
              u'27252',
              u'13877',
              u'19103',
              u'19598',
              u'11459',
              u'29574',
              u'18973',
              u'6437',
              u'18799',
              u'24759',
              u'8374',
              u'20072',
              u'29304',
              u'26572',
              u'13850',
              u'29332',
              u'2620',
              u'23173',
              u'2355',
              u'21010',
              u'2955',
              u'25902',
              u'6055',
              u'25497',
              u'19116',
              u'21551',
              u'7667',
              u'12713',
              u'9474',
              u'3176',
              u'28041',
              u'8651',
              u'17246',
              u'22488',
              u'15305',
              u'11655',
              u'14716',
              u'11863',
              u'1078',
              u'9998',
              u'11741',
              u'17995',
              u'12120',
              u'19566',
              u'24040',
              u'14151',
              u'25907',
              u'23542',
              u'26090',
              u'17757',
              u'27676',
              u'15946',
              u'19227',
              u'8753',
              u'11692',
              u'11403',
              u'18690',
              u'7848',
              u'20303',
              u'17685',
              u'21079',
              u'18516',
              u'17042',
              u'9738',
              u'24366',
              u'13949',
              u'22273',
              u'528',
              u'8708',
              u'13726',
              u'25472',
              u'5051',
              u'18936',
              u'15664',
              u'10083',
              u'25933',
              u'20787',
              u'11594',
              u'21464',
              u'17618',
              u'7805',
              u'17803',
              u'9302',
              u'28738',
              u'24224',
              u'22501',
              u'22285',
              u'1899',
              u'11642',
              u'18074',
              u'13068',
              u'9289',
              u'8099',
              u'26528',
              u'14967',
              u'18953',
              u'2667',
              u'2265',
              u'13401',
              u'14596',
              u'27175',
              u'9188',
              u'16965',
              u'9869',
              u'18674',
              u'7690',
              u'7116',
              u'21980',
              u'29054',
              u'7078',
              u'27470',
              u'20568',
              u'17330',
              u'29091',
              u'13915',
              u'26065',
              u'18229',
              u'3563',
              u'11093',
              u'8006',
              u'3499',
              u'9023',
              u'22594',
              u'6349',
              u'21942',
              u'182',
              u'27350',
              u'5',
              u'23520',
              u'2675',
              u'25848',
              u'9117',
              u'15997',
              u'6859',
              u'11646',
              u'3591',
              u'6025',
              u'5639',
              u'25720',
              u'21090',
              u'6647',
              u'3047',
              u'24909',
              u'11901',
              u'21509',
              u'19298',
              u'16759',
              u'7144',
              u'26993',
              u'10360',
              u'12484',
              u'2187',
              u'4578',
              u'24148',
              u'22177',
              u'24085',
              u'21364',
              u'22911',
              u'11003',
              u'22069',
              u'27699',
              u'4496',
              u'8902',
              u'27045',
              u'28179',
              u'24368',
              u'19401',
              u'21240',
              u'3175',
              u'12455',
              u'13410',
              u'6093',
              u'21688',
              u'10138',
              u'2943',
              u'29478',
              u'25056',
              u'13063',
              u'29039',
              u'15526',
              u'19476',
              u'17284',
              u'6764',
              u'27442',
              u'12698',
              u'28946',
              u'15703',
              u'22314',
              u'21290',
              u'8815',
              u'18713',
              u'19022',
              u'13900',
              u'17486',
              u'9712',
              u'15524',
              u'25412',
              u'18664',
              u'27630',
              u'19012',
              u'22379',
              u'13925',
              u'7725',
              u'17293',
              u'16260',
              u'1009',
              u'3796',
              u'11553',
              u'28194',
              u'18337',
              u'29280',
              u'17525',
              u'11010',
              u'7688',
              u'29100',
              u'12454',
              u'24666',
              u'23523',
              u'21370',
              u'16726',
              u'28780',
              u'23762',
              u'15873',
              u'21857',
              u'3238',
              u'19149',
              u'5836',
              u'19527',
              u'25399',
              u'21917',
              u'7748',
              u'10793',
              u'13951',
              u'13458',
              u'3472',
              u'12808',
              u'22697',
              u'24850',
              u'26808',
              u'5859',
              u'18754',
              u'10380',
              u'12660',
              u'26693',
              u'19324',
              u'20863',
              u'24424',
              u'6222',
              u'20730',
              u'19983',
              u'21350',
              u'3965',
              u'7920',
              u'6618',
              u'18967',
              u'3841',
              u'23812'],
             31: [u'9177',
              u'25816',
              u'18163',
              u'14872',
              u'2899',
              u'26222',
              u'29469',
              u'28165',
              u'27207',
              u'4934',
              u'27682',
              u'16137',
              u'28508',
              u'27695',
              u'7247',
              u'26722',
              u'3921',
              u'3247',
              u'10714',
              u'20622',
              u'19071',
              u'8343',
              u'23746',
              u'22993',
              u'19198',
              u'18308',
              u'19176',
              u'25790',
              u'21206',
              u'2758',
              u'21159',
              u'12394',
              u'21081',
              u'23708',
              u'12212',
              u'17825',
              u'2755',
              u'21335',
              u'3207',
              u'12269',
              u'5458',
              u'23630',
              u'6866',
              u'15985',
              u'26885',
              u'15052',
              u'11279',
              u'21376',
              u'2536',
              u'27211',
              u'10464',
              u'7653',
              u'5612',
              u'18364',
              u'1984',
              u'14357',
              u'3513',
              u'5069',
              u'1030',
              u'21799',
              u'22222',
              u'13566',
              u'8775',
              u'13897',
              u'239',
              u'4438',
              u'21495',
              u'27760',
              u'5183',
              u'10026',
              u'7476',
              u'15140',
              u'1341',
              u'723',
              u'1128',
              u'25446',
              u'5206',
              u'10354',
              u'26186',
              u'23896',
              u'12167',
              u'4972',
              u'22011',
              u'22789',
              u'11656',
              u'27747',
              u'16431',
              u'10272',
              u'8496',
              u'16886',
              u'6811',
              u'16635',
              u'10667',
              u'11167',
              u'22152',
              u'11072',
              u'3897',
              u'27002',
              u'19048',
              u'12328',
              u'17180',
              u'28849',
              u'4160',
              u'25306',
              u'2381',
              u'16041',
              u'26718',
              u'14223',
              u'24072',
              u'1758',
              u'17517',
              u'24300',
              u'218',
              u'9783',
              u'13574',
              u'6423',
              u'41',
              u'27484',
              u'24768',
              u'16720',
              u'11675',
              u'28465',
              u'5605',
              u'81',
              u'1743',
              u'17970',
              u'8572',
              u'6868',
              u'27750',
              u'21734',
              u'13648',
              u'17310',
              u'12541',
              u'5786',
              u'11366',
              u'6717',
              u'134',
              u'20707',
              u'23698',
              u'13642',
              u'11354',
              u'12574',
              u'9702',
              u'11311',
              u'15504',
              u'11398',
              u'6558',
              u'12914',
              u'10043',
              u'13573',
              u'11869',
              u'21746',
              u'26386',
              u'17229',
              u'26247',
              u'5562',
              u'11114',
              u'21875',
              u'26162',
              u'27586',
              u'23594',
              u'94',
              u'2009',
              u'15566',
              u'13671',
              u'2108',
              u'3951',
              u'14126',
              u'7879',
              u'15796',
              u'1015',
              u'22545',
              u'8439',
              u'2226',
              u'16602',
              u'12605',
              u'9000',
              u'20457',
              u'2639',
              u'328',
              u'6922',
              u'29557',
              u'18677',
              u'22851',
              u'6578',
              u'16388',
              u'14657',
              u'5780',
              u'27712',
              u'21790',
              u'14994',
              u'2057',
              u'7713',
              u'12669',
              u'11620',
              u'4700',
              u'23192',
              u'17140',
              u'18534',
              u'16666',
              u'10831',
              u'28373',
              u'9562',
              u'28050',
              u'5008',
              u'7346',
              u'13218',
              u'10564',
              u'28658',
              u'22018',
              u'1181',
              u'7219',
              u'25734',
              u'27327',
              u'2641',
              u'19041',
              u'8203',
              u'15430',
              u'1884',
              u'3625',
              u'11373',
              u'26683',
              u'23355',
              u'5107',
              u'17643',
              u'16699',
              u'4091',
              u'27008',
              u'8150',
              u'20257',
              u'8429',
              u'10101',
              u'6581',
              u'3781',
              u'26794',
              u'13623',
              u'25616',
              u'13543',
              u'20212',
              u'16455',
              u'21789',
              u'26859',
              u'21828',
              u'26800',
              u'21114',
              u'27570',
              u'25074',
              u'7548',
              u'28191',
              u'4',
              u'1105',
              u'17059',
              u'2916',
              u'26932',
              u'14155',
              u'1358',
              u'6127',
              u'10252',
              u'7496',
              u'4513',
              u'24223',
              u'8522',
              u'15609',
              u'1179',
              u'12215',
              u'19281',
              u'16146',
              u'148',
              u'19223',
              u'9036',
              u'23091',
              u'26791',
              u'29260',
              u'28021',
              u'4988',
              u'14893',
              u'595',
              u'21155',
              u'15554',
              u'724',
              u'18316',
              u'18391',
              u'6236',
              u'23484',
              u'664',
              u'8054',
              u'26979',
              u'3534',
              u'4089',
              u'22326',
              u'4728',
              u'7587',
              u'20362',
              u'21487',
              u'391',
              u'825',
              u'23309',
              u'22897',
              u'11030',
              u'26831',
              u'25597',
              u'14642',
              u'864',
              u'25288',
              u'19454',
              u'10037',
              u'18570',
              u'13558',
              u'9353',
              u'3446',
              u'4099',
              u'10321',
              u'14314',
              u'20409',
              u'20407',
              u'25112',
              u'28453',
              u'24197',
              u'29017',
              u'20270',
              u'25556',
              u'29375',
              u'9857',
              u'27959',
              u'2430',
              u'27511',
              u'14805',
              u'29293',
              u'29093',
              u'18825',
              u'3473',
              u'16921',
              u'22552',
              u'24684',
              u'21687',
              u'26490',
              u'15415',
              u'26101',
              u'13870',
              u'409',
              u'10520',
              u'12344',
              u'8254',
              u'3408',
              u'27585',
              u'2357',
              u'26942',
              u'21780',
              u'15900',
              u'27412',
              u'28341',
              u'25768',
              u'28055',
              u'8972',
              u'15402',
              u'19870',
              u'1109',
              u'15570',
              u'22975',
              u'20396',
              u'20285',
              u'17172',
              u'26442',
              u'20336',
              u'16528',
              u'9894',
              u'5084',
              u'25863',
              u'20822',
              u'17708',
              u'8041',
              u'6390',
              u'9453',
              u'26322',
              u'12218',
              u'7160',
              u'25669',
              u'21312',
              u'16780',
              u'6765',
              u'13379',
              u'10884',
              u'27015',
              u'6808',
              u'12788',
              u'4602',
              u'9263',
              u'23969',
              u'23383',
              u'19903',
              u'22729',
              u'26206',
              u'21662',
              u'21637',
              u'9680',
              u'4299',
              u'29290',
              u'20103',
              u'2146',
              u'21655',
              u'13798',
              u'17619',
              u'23497',
              u'20551',
              u'19708',
              u'433',
              u'10048',
              u'23913',
              u'27377',
              u'10494',
              u'25477',
              u'13258',
              u'24091',
              u'23047',
              u'2389',
              u'810',
              u'22209',
              u'13110',
              u'5687',
              u'20347',
              u'5954',
              u'10110',
              u'19397',
              u'25223',
              u'27434',
              u'3167',
              u'6279',
              u'18132',
              u'5125',
              u'16406',
              u'18006',
              u'25125',
              u'20953',
              u'16767',
              u'25113',
              u'25139',
              u'1172',
              u'26535',
              u'24208',
              u'19398',
              u'10570',
              u'10122',
              u'16736',
              u'28766',
              u'7148',
              u'14832',
              u'10154',
              u'6249',
              u'29363',
              u'28282',
              u'7859',
              u'26978',
              u'6336',
              u'28225',
              u'12069',
              u'835',
              u'25006',
              u'17716',
              u'7106',
              u'24985',
              u'26976',
              u'28161',
              u'24993',
              u'24156',
              u'5316',
              u'17972',
              u'16419',
              u'2717',
              u'3760',
              u'17990',
              u'21152',
              u'22156',
              u'2885',
              u'21870',
              u'11562',
              u'19175',
              u'23852',
              u'12044',
              u'4948',
              u'21727',
              u'5964',
              u'2972',
              u'22251',
              u'28090',
              u'18550',
              u'20331',
              u'25699',
              u'21834',
              u'28150',
              u'24051',
              u'26350',
              u'3814',
              u'24786',
              u'26781',
              u'21842',
              u'23782',
              u'28553',
              u'28243',
              u'1201',
              u'2997',
              u'6902',
              u'12926',
              u'11919',
              u'11925',
              u'6803',
              u'27773',
              u'6934',
              u'26033',
              u'8534',
              u'6658',
              u'24479',
              u'28310',
              u'24377',
              u'10709',
              u'15773',
              u'25644',
              u'12760',
              u'4949',
              u'1231',
              u'3251',
              u'15544',
              u'9876',
              u'3539',
              u'11305',
              u'2800',
              u'7891',
              u'11576',
              u'2219',
              u'22849',
              u'2119',
              u'9652',
              u'26972',
              u'1226',
              u'25773',
              u'26336',
              u'27968',
              u'1786',
              u'24360',
              u'2550',
              u'21475',
              u'9100',
              u'21099',
              u'24700',
              u'13045',
              u'14792',
              u'6763',
              u'10014',
              u'29282',
              u'18232',
              u'12359',
              u'15235',
              u'19574',
              u'2230',
              u'17421',
              u'11223',
              u'6546',
              u'22252',
              u'28635',
              u'21485',
              u'6734',
              u'12501',
              u'25187',
              u'20494',
              u'12860',
              u'27988',
              u'18333',
              u'19628',
              u'5105',
              u'5863',
              u'23386',
              u'20451',
              u'18542',
              u'9462',
              u'12795',
              u'28135',
              u'9443',
              u'8796',
              u'6427',
              u'3',
              u'8236',
              u'19313',
              u'11823',
              u'28185',
              u'5408',
              u'2826',
              u'24712',
              u'5654',
              u'17011',
              u'21093',
              u'16955',
              u'19873',
              u'28198',
              u'19981',
              u'12786',
              u'11814',
              u'20648',
              u'7211',
              u'1594',
              u'1091',
              u'9176',
              u'25887',
              u'14073',
              u'18670',
              u'28571',
              u'14190',
              u'12387',
              u'20521',
              u'7939',
              u'22891',
              u'12773',
              u'29305',
              u'25397',
              u'1756',
              u'14012',
              u'27636',
              u'24930',
              u'17590',
              u'5729',
              u'17534',
              u'23273',
              u'20264',
              u'206',
              u'22287',
              u'27508',
              u'22632',
              u'14445',
              u'12877',
              u'10958',
              u'5589',
              u'14639',
              u'23814',
              u'596',
              u'14778',
              u'27220',
              u'17319',
              u'10450',
              u'9536',
              u'7428',
              u'13100',
              u'3549',
              u'2859',
              u'29227',
              u'813',
              u'20762',
              u'15480',
              u'11307',
              u'19374',
              u'8128',
              u'17491',
              u'23179',
              u'23481',
              u'2700',
              u'653',
              u'20804',
              u'22110',
              u'14277',
              u'15822',
              u'654',
              u'11100',
              u'20609',
              u'23941',
              u'10213',
              u'6645',
              u'4446',
              u'19376',
              u'13006',
              u'24692',
              u'13847',
              u'17471',
              u'16248',
              u'10489',
              u'27500',
              u'15102',
              u'542',
              u'6981',
              u'21922',
              u'7372',
              u'8154',
              u'11106',
              u'27743',
              u'839',
              u'316',
              u'20914',
              u'26006',
              u'8344',
              u'22142',
              u'23242',
              u'8872',
              u'8909',
              u'16429',
              u'23995',
              u'12402',
              u'28900',
              u'24372',
              u'27018',
              u'20195',
              u'4759',
              u'18422',
              u'7239',
              u'19181',
              u'12363',
              u'17846',
              u'13355',
              u'27436',
              u'11578',
              u'10506',
              u'16916',
              u'6624',
              u'4193',
              u'10242',
              u'12824',
              u'11043',
              u'5942',
              u'13135',
              u'24705',
              u'27543',
              u'13238',
              u'2900',
              u'19935',
              u'6992',
              u'28354',
              u'21194',
              u'12321',
              u'22917',
              u'9763',
              u'1143',
              u'25146',
              u'1823',
              u'2332',
              u'3702',
              u'13452',
              u'2615',
              u'8333',
              u'5908',
              u'23848',
              u'21359',
              u'23964',
              u'7999',
              u'13095',
              u'22135',
              u'14968',
              u'8884',
              u'27111',
              u'19865',
              u'14578',
              u'28037',
              u'15234',
              u'1182',
              u'25463',
              u'6297',
              u'4863',
              u'9910'],
             32: [u'18487',
              u'29599',
              u'21356',
              u'14416',
              u'14255',
              u'18102',
              u'13203',
              u'9316',
              u'14087',
              u'598',
              u'3191',
              u'818',
              u'11541',
              u'23768',
              u'20146',
              u'9883',
              u'3602',
              u'394',
              u'11676',
              u'9854',
              u'13248',
              u'26796',
              u'17008',
              u'21504',
              u'10219',
              u'21848',
              u'24965',
              u'9831',
              u'15404',
              u'9514',
              u'9598',
              u'28802',
              u'14070',
              u'27250',
              u'14388',
              u'22804',
              u'1651',
              u'2794',
              u'29123',
              u'28356',
              u'23828',
              u'1361',
              u'28166',
              u'17766',
              u'9457',
              u'3809',
              u'4524',
              u'4235',
              u'9930',
              u'8273',
              u'20124',
              u'25426',
              u'16446',
              u'9006',
              u'23209',
              u'2032',
              u'12093',
              u'15496',
              u'9267',
              u'1331',
              u'12738',
              u'3424',
              u'8893',
              u'27448',
              u'3281',
              u'15242',
              u'24406',
              u'6616',
              u'17648',
              u'21432',
              u'8679',
              u'15605',
              u'18526',
              u'6008',
              u'12940',
              u'9623',
              u'2968',
              u'2701',
              u'19999',
              u'25371',
              u'12380',
              u'17337',
              u'24364',
              u'28970',
              u'22164',
              u'4307',
              u'27816',
              u'2995',
              u'2631',
              u'23023',
              u'12427',
              u'19284',
              u'22170',
              u'1343',
              u'8428',
              u'27754',
              u'17145',
              u'24573',
              u'18137',
              u'10106',
              u'2656',
              u'12939',
              u'7396',
              u'1810',
              u'17670',
              u'19654',
              u'20478',
              u'11643',
              u'5062',
              u'13816',
              u'19904',
              u'9313',
              u'2780',
              u'12152',
              u'20902',
              u'12023',
              u'15918',
              u'19076',
              u'15601',
              u'9026',
              u'3908',
              u'25119',
              u'25105',
              u'2221',
              u'29132',
              u'14178',
              u'27049',
              u'22118',
              u'16587',
              u'17545',
              u'3889',
              u'17032',
              u'25482',
              u'11885',
              u'11793',
              u'24143',
              u'18965',
              u'2335',
              u'13360',
              u'11421',
              u'24665',
              u'6940',
              u'21649',
              u'3717',
              u'18040',
              u'24927',
              u'12847',
              u'10885',
              u'16783',
              u'17129',
              u'8970',
              u'16563',
              u'18537',
              u'1402',
              u'1795',
              u'5503',
              u'22517',
              u'6660',
              u'24113',
              u'6201',
              u'27917',
              u'26988',
              u'14943',
              u'7186',
              u'13932',
              u'16409',
              u'9051',
              u'22770',
              u'3910',
              u'19787',
              u'12702',
              u'522',
              u'22585',
              u'15281',
              u'3976',
              u'14285',
              u'10760',
              u'18312',
              u'14647',
              u'7220',
              u'21070',
              u'3481',
              u'26115',
              u'28583',
              u'28660',
              u'28285',
              u'20276',
              u'13701',
              u'1515'],
             33: [u'26536',
              u'11749',
              u'7878',
              u'14788',
              u'5464',
              u'6843',
              u'10392',
              u'12836',
              u'12170',
              u'6799',
              u'26685',
              u'3880',
              u'14577',
              u'3093',
              u'3913',
              u'8706',
              u'23545',
              u'2011',
              u'10424',
              u'815',
              u'20508',
              u'14430',
              u'777',
              u'589',
              u'10200',
              u'2090',
              u'22263',
              u'228',
              u'25057',
              u'23737',
              u'12089',
              u'22033',
              u'26463',
              u'19733',
              u'15596',
              u'2785',
              u'2491',
              u'49',
              u'6256',
              u'8556',
              u'17767',
              u'9469',
              u'22112',
              u'29207',
              u'17974',
              u'132',
              u'18894',
              u'18063',
              u'26446',
              u'12194',
              u'1337',
              u'6588',
              u'9739',
              u'24062',
              u'25439',
              u'24580',
              u'13731',
              u'9428',
              u'26662',
              u'27343',
              u'23679',
              u'7964',
              u'4542',
              u'8467',
              u'29219',
              u'19504',
              u'13610',
              u'2861',
              u'14307',
              u'13650',
              u'12312',
              u'7527',
              u'4636',
              u'15355',
              u'7111',
              u'10429',
              u'23129',
              u'24003',
              u'20150',
              u'19853',
              u'12436',
              u'20970',
              u'28061',
              u'15595',
              u'21241',
              u'6030',
              u'4714',
              u'5368',
              u'15051',
              u'4072',
              u'28685',
              u'4423',
              u'3285',
              u'6468',
              u'11271',
              u'21723',
              u'28788',
              u'12425',
              u'22207',
              u'29176',
              u'6447',
              u'997',
              u'4885',
              u'28326',
              u'6339',
              u'3282',
              u'28686',
              u'15756',
              u'8939',
              u'5220',
              u'5112',
              u'5856',
              u'22895',
              u'8164',
              u'24938',
              u'24926',
              u'25922',
              u'3156',
              u'24718',
              u'221',
              u'27644',
              u'11302',
              u'17760',
              u'16873',
              u'21281',
              u'19349',
              u'2692',
              u'24387',
              u'1819',
              u'8393',
              u'10623',
              u'28172',
              u'26878',
              u'25049',
              u'23416',
              u'333',
              u'19031',
              u'21106',
              u'18215',
              u'15742',
              u'24971',
              u'25800',
              u'9045',
              u'232',
              u'12995',
              u'19897',
              u'15185',
              u'15441',
              u'17621',
              u'4862',
              u'11401',
              u'4461',
              u'17558',
              u'16802',
              u'8275',
              u'14105',
              u'3509',
              u'12537',
              u'4937',
              u'25540',
              u'6108',
              u'9710',
              u'614',
              u'12975',
              u'12747',
              u'20719',
              u'19750',
              u'22198',
              u'11045',
              u'26710',
              u'23707',
              u'29364',
              u'13351',
              u'26944',
              u'17897',
              u'29342',
              u'17969',
              u'12504',
              u'16997',
              u'22649',
              u'1886',
              u'17014',
              u'14854',
              u'25761',
              u'16339',
              u'10258',
              u'3336',
              u'2964',
              u'13358',
              u'26840',
              u'7397',
              u'16904',
              u'7235',
              u'7236',
              u'21904',
              u'8455',
              u'15999',
              u'25678',
              u'17866',
              u'1955',
              u'2647',
              u'29092',
              u'26615',
              u'2465',
              u'17152',
              u'3488',
              u'12078',
              u'5344',
              u'2754',
              u'18389',
              u'14931',
              u'4512',
              u'386',
              u'21407',
              u'23591',
              u'24954',
              u'18334',
              u'8377',
              u'25883',
              u'186',
              u'22495',
              u'28043',
              u'26237',
              u'4468',
              u'4485',
              u'22412',
              u'19437',
              u'9343',
              u'10817',
              u'8770',
              u'17085',
              u'5913',
              u'14373',
              u'5563',
              u'16851',
              u'10930',
              u'3030',
              u'17964',
              u'20312',
              u'1997',
              u'25870',
              u'7627',
              u'4369',
              u'18386',
              u'4645',
              u'18686',
              u'199',
              u'21187',
              u'14488',
              u'19208',
              u'14515',
              u'1896',
              u'13231',
              u'6638',
              u'23732',
              u'994',
              u'12198',
              u'12445',
              u'23470',
              u'14648',
              u'26681',
              u'13373',
              u'8409',
              u'15908',
              u'22503',
              u'2897',
              u'23607',
              u'22621',
              u'18489',
              u'15760',
              u'29267',
              u'174',
              u'6520',
              u'3099',
              u'19720',
              u'24831',
              u'26488',
              u'25885',
              u'23295',
              u'20236',
              u'21800',
              u'1478',
              u'959',
              u'15834',
              u'28669',
              u'24610',
              u'27501',
              u'26561',
              u'11296',
              u'10268',
              u'18911',
              u'7717',
              u'11018',
              u'10906',
              u'15267',
              u'10147',
              u'7786',
              u'24375',
              u'24014',
              u'25607',
              u'18078',
              u'11922',
              u'10336',
              u'22630',
              u'8089',
              u'13338',
              u'21827',
              u'13959',
              u'25797',
              u'17668',
              u'28687',
              u'10418',
              u'7673',
              u'22238',
              u'19617',
              u'5382',
              u'29412',
              u'22284',
              u'3660',
              u'3678',
              u'1773',
              u'21449',
              u'9809',
              u'12897',
              u'16866',
              u'20684',
              u'21763',
              u'3540',
              u'15876',
              u'23044',
              u'12343',
              u'11306',
              u'16610',
              u'27148',
              u'7231',
              u'13356',
              u'9213',
              u'19493',
              u'1707',
              u'19603',
              u'28054',
              u'15685',
              u'1510',
              u'14256',
              u'1257',
              u'22109',
              u'17501',
              u'13021',
              u'4694',
              u'14954',
              u'18810',
              u'12555',
              u'21146',
              u'26974',
              u'8282',
              u'21',
              u'8834',
              u'10965',
              u'5347',
              u'7504',
              u'16840',
              u'25145',
              u'21220',
              u'14372',
              u'10747',
              u'21841',
              u'3752',
              u'11624',
              u'4022',
              u'16926',
              u'29084',
              u'13235',
              u'4378',
              u'11309',
              u'11871',
              u'24866',
              u'23744',
              u'8727',
              u'13299',
              u'28692',
              u'3695',
              u'11615',
              u'26755',
              u'3079',
              u'25717',
              u'13484',
              u'12766',
              u'22901',
              u'14206',
              u'4216',
              u'20220',
              u'16633',
              u'29247',
              u'21442',
              u'28932',
              u'27416',
              u'13129',
              u'420',
              u'2726',
              u'13118',
              u'22560',
              u'15798',
              u'9531',
              u'7277',
              u'17240',
              u'14484',
              u'15896',
              u'25365',
              u'21181',
              u'24430',
              u'10743',
              u'21774',
              u'1679',
              u'11841',
              u'13384',
              u'26310',
              u'4548',
              u'10481',
              u'5800',
              u'17194',
              u'25048',
              u'10773',
              u'17348',
              u'28005',
              u'25895',
              u'11957',
              u'16450',
              u'1885',
              u'5936',
              u'13288',
              u'23696',
              u'24268',
              u'7898',
              u'27795',
              u'25880',
              u'25010',
              u'8579',
              u'11653',
              u'1897',
              u'20193',
              u'25241',
              u'11665',
              u'21301',
              u'18271',
              u'3780',
              u'25244',
              u'14469',
              u'28365',
              u'8109',
              u'5528',
              u'18747',
              u'1095',
              u'13942',
              u'18325',
              u'21591',
              u'23410',
              u'27439',
              u'25739',
              u'9648',
              u'8882',
              u'26210',
              u'13265',
              u'28239',
              u'17272',
              u'874',
              u'11044',
              u'21877',
              u'22007',
              u'18599',
              u'25967',
              u'13633',
              u'17819',
              u'15375',
              u'1866',
              u'10766',
              u'13370',
              u'3227',
              u'23600',
              u'11834',
              u'16838',
              u'22783',
              u'12618',
              u'24248',
              u'23222',
              u'26151',
              u'28519',
              u'28814',
              u'9734',
              u'11209',
              u'1453',
              u'16650',
              u'23215',
              u'19219',
              u'6294',
              u'4736',
              u'7820',
              u'19366',
              u'10437',
              u'24036',
              u'2613',
              u'23690',
              u'8681',
              u'3410',
              u'13561',
              u'12214',
              u'19846',
              u'28059',
              u'11073',
              u'9803',
              u'9927',
              u'25620',
              u'2371',
              u'27158',
              u'1412',
              u'2712',
              u'3078',
              u'20078',
              u'27907',
              u'29361',
              u'27928',
              u'7003',
              u'15783',
              u'14366',
              u'13409',
              u'4180',
              u'29535',
              u'25780',
              u'11487',
              u'28793',
              u'25996',
              u'24267',
              u'14184',
              u'25182',
              u'17571',
              u'3577',
              u'25375',
              u'9092',
              u'9102',
              u'21685',
              u'18986',
              u'10235',
              u'12855',
              u'13639',
              u'26302',
              u'7853',
              u'3938',
              u'9113',
              u'19552',
              u'9149',
              u'4630',
              u'26078',
              u'22865',
              u'18630',
              u'23836',
              u'12797',
              u'18286',
              u'23024',
              u'17466',
              u'22455',
              u'5210',
              u'7462',
              u'23231',
              u'11515',
              u'24039',
              u'3105',
              u'18356',
              u'14107',
              u'11670',
              u'17563',
              u'1913',
              u'25116',
              u'24447',
              u'17800',
              u'9470',
              u'7814',
              u'11310',
              u'3834',
              u'16331',
              u'8146',
              u'9679',
              u'10398',
              u'23937',
              u'1023',
              u'27992',
              u'15420',
              u'19723',
              u'17714',
              u'12899',
              u'5436',
              u'13372',
              u'426',
              u'22382',
              u'26493',
              u'5004',
              u'4985',
              u'19144',
              u'13252',
              u'27513',
              u'7679',
              u'25879',
              u'8246',
              u'7547',
              u'26562',
              u'3904',
              u'13772',
              u'19657',
              u'1949',
              u'13507',
              u'23362',
              u'1916',
              u'16405',
              u'28936',
              u'10515',
              u'28003',
              u'3449',
              u'25676',
              u'15906',
              u'7418',
              u'7800',
              u'24770',
              u'18139',
              u'2350',
              u'7488',
              u'4589',
              u'4209',
              u'27776',
              u'7453',
              u'15917',
              u'26454',
              u'21479',
              u'21424',
              u'23109',
              u'13102',
              u'11883',
              u'13715',
              u'25765',
              u'20305',
              u'20402',
              u'26673',
              u'17354',
              u'561',
              u'11440',
              u'10966',
              u'6662',
              u'536',
              u'20660',
              u'22534',
              u'1157',
              u'24941',
              u'10388',
              u'22001',
              u'16130',
              u'20534',
              u'5770',
              u'21965',
              u'15791',
              u'2898',
              u'11427',
              u'2975',
              u'10136',
              u'17991',
              u'27374',
              u'11511',
              u'6832',
              u'4161',
              u'12947',
              u'627',
              u'23346',
              u'13717',
              u'18655',
              u'25899',
              u'27799',
              u'23574',
              u'13439',
              u'15295',
              u'19348',
              u'3650',
              u'11501',
              u'12519',
              u'10762',
              u'23149',
              u'2238',
              u'11661',
              u'8541',
              u'21970',
              u'10476',
              u'21346',
              u'1596',
              u'11193',
              u'16362',
              u'27859',
              u'7208',
              u'27913',
              u'10356',
              u'745',
              u'12996',
              u'3929',
              u'7941',
              u'21887',
              u'16643',
              u'4735',
              u'12645',
              u'9487',
              u'18498',
              u'23993',
              u'22867',
              u'8504',
              u'23027',
              u'17497',
              u'27732',
              u'27240',
              u'3952',
              u'21866',
              u'21126',
              u'16200',
              u'19694',
              u'17461',
              u'19809',
              u'17472',
              u'17030',
              u'4117',
              u'23079',
              u'28888',
              u'3108',
              u'6077',
              u'20525',
              u'23841',
              u'13378',
              u'896',
              u'8925',
              u'9838',
              u'26530',
              u'10438',
              u'19700',
              u'27028',
              u'12714',
              u'9271',
              u'21552',
              u'8068',
              u'25985',
              u'25992',
              u'17452',
              u'12767',
              u'4434',
              u'21156',
              u'26741',
              u'9182',
              u'6168',
              u'7095',
              u'24725',
              u'26299',
              u'15462',
              u'6966',
              u'21134',
              u'19074',
              u'25818',
              u'5624',
              u'10948',
              u'18282',
              u'8764',
              u'19151',
              u'27865',
              u'18374',
              u'21940',
              u'11318',
              u'16189',
              u'1107',
              u'27086',
              u'5973',
              u'10263',
              u'3202',
              u'22776',
              u'12030',
              u'20738',
              u'6541',
              u'9775',
              u'28089',
              u'7601',
              u'3372',
              u'13841',
              u'6501',
              u'4558',
              u'22002',
              u'5290',
              u'10554',
              u'3154',
              u'7728',
              u'10245',
              u'20542',
              u'21587',
              u'21365',
              u'8857',
              u'22830',
              u'2223',
              u'6707',
              u'11730',
              u'14203',
              u'14300',
              u'27933',
              u'23009',
              u'26992',
              u'6080',
              u'17768',
              u'25268',
              u'15244',
              u'5419',
              u'24550',
              u'5140',
              u'11622',
              u'25930',
              u'7722',
              u'5754',
              u'11881',
              u'23120',
              u'27589',
              u'17859',
              u'25840',
              u'17179',
              u'28916',
              u'10523',
              u'11120',
              u'13969',
              u'18495',
              u'29373',
              u'5201',
              u'4436',
              u'21623',
              u'3003',
              u'18556',
              u'28586',
              u'3240',
              u'19499',
              u'18097',
              u'15158',
              u'26492',
              u'13747',
              u'14189',
              u'14414',
              u'933',
              u'8384',
              u'20899',
              u'22502',
              u'7983',
              u'21608',
              u'16103',
              u'24534',
              u'12453',
              u'26851',
              u'6156',
              u'22855',
              u'19306',
              u'18468',
              u'26404',
              u'12384',
              u'7749',
              u'15638',
              u'15382',
              u'337',
              u'25240',
              u'24456',
              u'17429',
              u'14796',
              u'18314',
              u'9595',
              u'29067',
              u'5781',
              u'25527',
              u'7813',
              u'17430',
              u'28952',
              u'28468',
              u'17474',
              u'25323',
              u'25555',
              u'25868',
              u'11795',
              u'22840',
              u'14044',
              u'2513',
              u'21455',
              u'23628',
              u'25444',
              u'28943',
              u'21460',
              u'13494',
              u'28294',
              u'2486',
              u'10243',
              u'23532',
              u'19553',
              u'18408',
              u'2976',
              u'25859',
              u'12684',
              u'23073',
              u'5797',
              u'27909',
              u'5190',
              u'4819',
              u'5480',
              u'19335',
              u'6628',
              u'15456',
              u'14288',
              u'28192',
              u'25320',
              u'6401',
              u'10858',
              u'9275',
              u'12973',
              u'23104',
              u'23159',
              u'25110',
              u'26175',
              u'2561',
              u'12652',
              u'2322',
              u'19884',
              u'5685',
              u'2101',
              u'14437',
              u'17161',
              u'2131',
              u'24130',
              u'11119',
              u'9335',
              u'3484',
              u'28811',
              u'13641',
              u'17509',
              u'399',
              u'29228',
              u'16570',
              u'27758',
              u'27965',
              u'16202',
              u'18109',
              u'26',
              u'5156',
              u'9089',
              u'5226',
              u'7963',
              u'27962',
              u'12264',
              u'22852',
              u'17630',
              u'8372',
              u'960',
              u'11713',
              u'13031',
              u'19910',
              u'1319',
              u'11482',
              u'19469',
              u'22909',
              u'20547',
              u'4977',
              u'1941',
              u'12326',
              u'11257',
              u'27783',
              u'24545',
              u'13936',
              u'14111',
              u'15913',
              u'25694',
              u'11619',
              u'15499',
              u'17266',
              u'15471',
              u'13486',
              u'17417',
              u'16045',
              u'14492',
              u'18170',
              u'16444',
              u'21061',
              u'6795',
              u'20817',
              u'14009',
              u'3945',
              u'18353',
              u'4116',
              u'16847',
              u'11105',
              u'2454',
              u'15750',
              u'4769',
              u'7006',
              u'28826',
              u'16963',
              u'16577',
              u'5269',
              u'18338',
              u'11047',
              u'2462',
              u'2111',
              u'176',
              u'15749',
              u'14632',
              ...],
             34: [u'1347',
              u'17499',
              u'19573',
              u'14459',
              u'2488',
              u'4677',
              u'23167',
              u'24206',
              u'20063',
              u'29532',
              u'13108',
              u'20727',
              u'6697',
              u'18419',
              u'28688',
              u'24295',
              u'16792',
              u'20969',
              u'4236',
              u'7512',
              u'7647',
              u'16663',
              u'6564',
              u'118',
              u'116',
              u'18668',
              u'14159',
              u'14513',
              u'1572',
              u'4339',
              u'18376',
              u'4090',
              u'18424',
              u'22557',
              u'15417',
              u'6606',
              u'18127',
              u'24349',
              u'26648',
              u'8419',
              u'8601',
              u'3440',
              u'22310',
              u'4918',
              u'3937',
              u'18141',
              u'25069',
              u'15723',
              u'11232',
              u'17574',
              u'13614',
              u'18426',
              u'22037',
              u'25741',
              u'16539',
              u'5481',
              u'26902',
              u'7408',
              u'11273',
              u'5401',
              u'22934',
              u'23359',
              u'189',
              u'28948',
              u'10120',
              u'1256',
              u'20341',
              u'1017',
              u'11109',
              u'17446',
              u'4631',
              u'1163',
              u'2234',
              u'5662',
              u'10622',
              u'4428',
              u'24029',
              u'23526',
              u'7451',
              u'7918',
              u'7860',
              u'20027',
              u'3615',
              u'9479',
              u'2411',
              u'12258',
              u'14140',
              u'15232',
              u'12827',
              u'16131',
              u'21586',
              u'24832',
              u'22979',
              u'11154',
              u'17123',
              u'14502',
              u'24496',
              u'27648',
              u'6107',
              u'26079',
              u'18294',
              u'1805',
              u'23396',
              u'7495',
              u'21796',
              u'6483',
              u'5985',
              u'8190',
              u'18266',
              u'3360',
              u'6506',
              u'23771',
              u'9227',
              u'22338',
              u'17197',
              u'25784',
              u'26169',
              u'5651',
              u'4030',
              u'14213',
              u'8962',
              u'15357',
              u'5134',
              u'11129',
              u'28213',
              u'11599',
              u'18723',
              u'1090',
              u'18454',
              u'2825',
              u'14013',
              u'15034',
              u'7825',
              u'27201',
              u'15955',
              u'8477',
              u'22721',
              u'12945',
              u'23125',
              u'20492',
              u'14024',
              u'25968',
              u'7764',
              u'1584',
              u'28529',
              u'5891',
              u'16287',
              u'5080',
              u'17384',
              u'13405',
              u'23085',
              u'6413',
              u'27114',
              u'4066',
              u'11608',
              u'20460',
              u'7670',
              u'25938',
              u'10362',
              u'11438',
              u'14376',
              u'12031',
              u'23345',
              u'21934',
              u'24607',
              u'7032',
              u'29215',
              u'21357',
              u'22092',
              u'17703',
              u'220',
              u'10509',
              u'13487',
              u'28968',
              u'18577',
              u'17048',
              u'26968',
              u'24958',
              u'5050',
              u'25201',
              u'7833',
              u'17279',
              u'18578',
              u'22600',
              u'20700',
              u'5747',
              u'28229',
              u'4499',
              u'11921',
              u'17388',
              u'14539',
              u'9326',
              u'3709',
              u'25389',
              u'25695',
              u'5857',
              u'28086',
              u'8672',
              u'4777',
              u'8913',
              u'10296',
              u'2529',
              u'6993',
              u'16893',
              u'28695',
              u'23694',
              u'1484',
              u'3140',
              u'7302',
              u'23501',
              u'10239',
              u'7922',
              u'10404',
              u'16262',
              u'11527',
              u'22020',
              u'403',
              u'23000',
              u'19134',
              u'16896',
              u'13649',
              u'6730',
              u'11850',
              u'23074',
              u'21916',
              u'23261',
              u'21182',
              u'16365',
              u'9532',
              u'5081',
              u'2494',
              u'26677',
              u'688',
              u'3226',
              u'4364',
              u'19446',
              u'25097',
              u'8359',
              u'10102',
              u'20023',
              u'20957',
              u'24566',
              u'4550',
              u'16909',
              u'19354',
              u'18598',
              u'13206',
              u'7113',
              u'20866',
              u'14454',
              u'22176',
              u'22072',
              u'770',
              u'21408',
              u'5706',
              u'23049',
              u'2562',
              u'23681',
              u'22587',
              u'22856',
              u'25738',
              u'26759',
              u'7761',
              u'7595',
              u'17747',
              u'19466',
              u'4124',
              u'785',
              u'20576',
              u'21604'],
             35: [u'2690',
              u'3975',
              u'19371',
              u'19496',
              u'5324',
              u'9178',
              u'27733',
              u'18805',
              u'5533',
              u'17865',
              u'15844',
              u'2638',
              u'23559',
              u'12617',
              u'4164',
              u'17793',
              u'6649',
              u'10503',
              u'22719',
              u'9304',
              u'22443',
              u'10395',
              u'22050',
              u'4989',
              u'847',
              u'27945',
              u'22833',
              u'20087',
              u'24132',
              u'1575',
              u'4618',
              u'13052',
              u'8078',
              u'6931',
              u'5239',
              u'1443',
              u'16090',
              u'24322',
              u'24733',
              u'5468',
              u'3296',
              u'4186',
              u'26140',
              u'7549',
              u'3778',
              u'21565',
              u'6785',
              u'10871',
              u'21569',
              u'13213',
              u'4687',
              u'7026',
              u'1476',
              u'10654',
              u'24417',
              u'28330',
              u'5391',
              u'26225',
              u'1846',
              u'26645',
              u'21300',
              u'17233',
              u'5421',
              u'11704',
              u'14461',
              u'24006',
              u'26705',
              u'15994',
              u'12424',
              u'22644',
              u'9843',
              u'18350',
              u'16689',
              u'10746',
              u'9537',
              u'3020',
              u'21095',
              u'15989',
              u'9001',
              u'26203',
              u'25627',
              u'5552',
              u'17371',
              u'5571',
              u'1609',
              u'13270',
              u'1634',
              u'27414',
              u'14864',
              u'2881',
              u'10410',
              u'26100',
              u'2963',
              u'712',
              u'17796',
              u'13007',
              u'13222',
              u'8493',
              u'17712',
              u'26657',
              u'19907',
              u'13232',
              u'4371',
              u'12549',
              u'2924',
              u'16316',
              u'9913',
              u'10636',
              u'2629',
              u'16396',
              u'10265',
              u'26060',
              u'5584',
              u'14172',
              u'19783',
              u'22763',
              u'6531',
              u'22579',
              u'2254',
              u'13645',
              u'699',
              u'9132',
              u'8361',
              u'177',
              u'4279',
              u'11928',
              u'16551',
              u'6615',
              u'7120',
              u'16768',
              u'24330',
              u'22525',
              u'12822',
              u'13519',
              u'8033',
              u'26943',
              u'11351',
              u'20728',
              u'9943',
              u'2105',
              u'8778',
              u'6097',
              u'13039',
              u'3418',
              u'6771',
              u'19806',
              u'23204',
              u'48',
              u'4482',
              u'22309',
              u'10207',
              u'25041',
              u'19790',
              u'17468',
              u'6384',
              u'24084',
              u'2624',
              u'20057',
              u'21679',
              u'14350',
              u'13707',
              u'26674',
              u'2543',
              u'22791',
              u'20606',
              u'318',
              u'8294',
              u'28684',
              u'23847',
              u'19068',
              u'7382',
              u'958',
              u'11900',
              u'6971',
              u'25067',
              u'22967',
              u'28395',
              u'15642',
              u'5380',
              u'19805',
              u'24806',
              u'10191',
              u'2450',
              u'10902',
              u'26228',
              u'9689',
              u'2286',
              u'14671',
              u'22186',
              u'7945',
              u'13461',
              u'3267',
              u'6718',
              u'17448',
              u'19824',
              u'9628',
              u'28724',
              u'22395',
              u'25622',
              u'23919',
              u'29409',
              u'21543',
              u'2929',
              u'12694',
              u'22475',
              u'13921',
              u'16578',
              u'11716',
              u'19258',
              u'20584',
              u'252',
              u'2222',
              u'28812',
              u'3464',
              u'26720',
              u'15824',
              u'3931',
              u'20356',
              u'6476',
              u'22801',
              u'1450',
              u'14318',
              u'4792',
              u'25750',
              u'9899',
              u'1056',
              u'448',
              u'15457',
              u'17611',
              u'11851',
              u'27899',
              u'12201',
              u'2907',
              u'4081',
              u'27445',
              u'13315',
              u'18622',
              u'3828',
              u'2956',
              u'4338',
              u'18612',
              u'29402',
              u'9515',
              u'29011',
              u'2532',
              u'8760',
              u'7225',
              u'22168',
              u'26156',
              u'17155',
              u'5097',
              u'29061',
              u'28729',
              u'14103',
              u'21993',
              u'27183',
              u'5714',
              u'3061',
              u'24361',
              u'21603',
              u'10511',
              u'29287',
              u'18463',
              u'11686',
              u'19914',
              u'283',
              u'12630',
              u'27451',
              u'5924',
              u'13523',
              u'20826',
              u'5488',
              u'23284',
              u'26171',
              u'4930',
              u'6358',
              u'29008',
              u'14922',
              u'9875',
              u'3466',
              u'16676',
              u'12686',
              u'5710',
              u'27740',
              u'8401',
              u'21026',
              u'27337',
              u'10162',
              u'19875',
              u'17789',
              u'9097',
              u'5205',
              u'982',
              u'28420',
              u'14361',
              u'16087',
              u'2055',
              u'21757',
              u'18486',
              u'3009',
              u'17782',
              u'15022',
              u'20012',
              u'16705',
              u'4787',
              u'5340',
              u'7118'],
             36: [u'15484',
              u'22048',
              u'20821',
              u'19056',
              u'23171',
              u'23620',
              u'16433',
              u'26671',
              u'27078',
              u'14695',
              u'10600',
              u'11587',
              u'26865',
              u'20891',
              u'8261',
              u'323',
              u'27635',
              u'2083',
              u'13364',
              u'10445',
              u'23191',
              u'13944',
              u'20523',
              u'3727',
              u'25753',
              u'21953',
              u'14905',
              u'17047',
              u'7772',
              u'9380',
              u'196',
              u'8292',
              u'28520',
              u'13513',
              u'15781',
              u'9743',
              u'22097',
              u'26920',
              u'27488',
              u'4563',
              u'24399',
              u'27838',
              u'19038',
              u'8263',
              u'16188',
              u'1380',
              u'222',
              u'25341',
              u'17009',
              u'10569',
              u'11964',
              u'28777',
              u'23701',
              u'22268',
              u'27950',
              u'5372',
              u'23207',
              u'13734',
              u'1121',
              u'9332',
              u'2354',
              u'21103',
              u'14701',
              u'8661',
              u'7883',
              u'28114',
              u'21818',
              u'27567',
              u'24713',
              u'1971',
              u'8225',
              u'24611',
              u'2718',
              u'740',
              u'20945',
              u'2262',
              u'18448',
              u'530',
              u'18287',
              u'3519',
              u'18963',
              u'28648',
              u'6565',
              u'531',
              u'1322',
              u'26345',
              u'15675',
              u'6727',
              u'9168',
              u'22436',
              u'1482',
              u'25592',
              u'12491',
              u'10652',
              u'12611',
              u'9425',
              u'8668',
              u'22035',
              u'1889',
              u'7467',
              u'18049',
              u'861',
              u'7401',
              u'25758',
              u'24336',
              u'24092',
              u'17605',
              u'24564',
              u'21624',
              u'27378',
              u'19971',
              u'11029',
              u'1733',
              u'17821',
              u'24480',
              u'9115',
              u'21958',
              u'13692',
              u'16126',
              u'18999',
              u'3260',
              u'11186',
              u'843',
              u'11430',
              u'11492',
              u'15448',
              u'28044',
              u'2431',
              u'26188',
              u'22643',
              u'13160',
              u'18740',
              u'16908',
              u'7606',
              u'19967',
              u'27003',
              u'7921',
              u'15737',
              u'27177',
              u'15772',
              u'5433',
              u'24411',
              u'7792',
              u'423',
              u'669',
              u'22244',
              u'18485',
              u'2992',
              u'26612',
              u'4042',
              u'10375',
              u'13480',
              u'16858',
              u'19426',
              u'10507',
              u'18657',
              u'28210',
              u'18433',
              u'13504',
              u'2736',
              u'17868',
              u'7031',
              u'4665',
              u'998',
              u'19467',
              u'27530',
              u'18378',
              u'28548',
              u'2857',
              u'26594',
              u'12127',
              u'29349',
              u'28117',
              u'7019',
              u'25217',
              u'28032',
              u'13456',
              u'395',
              u'17041',
              u'28419',
              u'24400',
              u'2737',
              u'26495',
              u'15300',
              u'2251',
              u'28237',
              u'7529',
              u'229',
              u'24088',
              u'5378',
              u'9850',
              u'27504',
              u'2744',
              u'23412',
              u'18997',
              u'20320',
              u'1240',
              u'18199',
              u'11744',
              u'14591',
              u'28836',
              u'15939',
              u'24547',
              u'6579',
              u'11123',
              u'14375',
              u'5243',
              u'3595',
              u'8026',
              u'22365',
              u'543',
              u'3707',
              u'7090',
              u'6750',
              u'10003',
              u'11791',
              u'24527',
              u'28675',
              u'14722',
              u'20851',
              u'16805',
              u'26545',
              u'27027',
              u'23943',
              u'4864',
              u'10568',
              u'8421',
              u'29024',
              u'25423',
              u'15789',
              u'19915',
              u'574',
              u'16462',
              u'13667',
              u'215',
              u'13448',
              u'23693',
              u'6525',
              u'24748',
              u'27174',
              u'13495',
              u'15691',
              u'21072',
              u'474',
              u'28275',
              u'6212',
              u'21170',
              u'9237',
              u'27238',
              u'4377',
              u'23437',
              u'23095',
              u'2384',
              u'25563',
              u'26814',
              u'17538',
              u'7149',
              u'23801',
              u'14866',
              u'13570',
              u'17677',
              u'1094',
              u'11636',
              u'24680',
              u'19165'],
             37: [u'23347',
              u'26146',
              u'5905',
              u'25803',
              u'22383',
              u'19536',
              u'22703',
              u'11164',
              u'138',
              u'17395',
              u'1554',
              u'19183',
              u'7167',
              u'23975',
              u'10434',
              u'354',
              u'6559',
              u'8096',
              u'5381',
              u'14803',
              u'14343',
              u'2927',
              u'18650',
              u'4150',
              u'22293',
              u'24402',
              u'7190',
              u'1822',
              u'19832',
              u'5728',
              u'25118',
              u'8249',
              u'7413',
              u'29204',
              u'23427',
              u'11083',
              u'11428',
              u'25208',
              u'10573',
              u'11542',
              u'13184',
              u'8577',
              u'27782',
              u'10384',
              u'18284',
              u'6272',
              u'20855',
              u'11736',
              u'22040',
              u'16089',
              u'7181',
              u'27572',
              u'26233',
              u'6',
              u'2141',
              u'1041',
              u'14942',
              u'10531',
              u'23163',
              u'856',
              u'24237',
              u'9836',
              u'11413',
              u'7191',
              u'8874',
              u'14456',
              u'17126',
              u'11754',
              u'17913',
              u'28386',
              u'12749',
              u'29047',
              u'8418',
              u'6961',
              u'11345',
              u'24809',
              u'9103',
              u'4016',
              u'3347',
              u'23108',
              u'16819',
              u'19587',
              u'4382',
              u'3832',
              u'3871',
              u'14035',
              u'6728',
              u'28456',
              u'687',
              u'16863',
              u'23508',
              u'17153',
              u'26068',
              u'7468',
              u'8363',
              u'4254',
              u'8880',
              u'104',
              u'2056',
              u'21169',
              u'13546',
              u'27034',
              u'29116',
              u'13392',
              u'3193',
              u'7986',
              u'24443',
              u'3651',
              u'2592',
              u'21189',
              u'702',
              u'1682',
              u'19383',
              u'12334',
              u'14001',
              u'22811',
              u'12479',
              u'10052',
              u'14531',
              u'15421',
              u'26990',
              u'21807',
              u'12781',
              u'23580',
              u'25409',
              u'8217',
              u'21925',
              u'9481',
              u'2691',
              u'7193',
              u'25785',
              u'23182',
              u'3583',
              u'22880',
              u'5897',
              u'4528',
              u'24439',
              u'17440',
              u'3136',
              u'14386',
              u'17953',
              u'16565',
              u'16917',
              u'3979',
              u'9987',
              u'25604',
              u'13971',
              u'13261',
              u'23866',
              u'4341',
              u'27973',
              u'2050',
              u'27399',
              u'4961',
              u'10841',
              u'27499',
              u'11565',
              u'21987',
              u'17269',
              u'12953',
              u'19879',
              u'21743',
              u'3902',
              u'21886',
              u'29211',
              u'1874',
              u'15309',
              u'14344',
              u'10063',
              u'9777',
              u'11287',
              u'26727',
              u'477',
              u'12554',
              u'16771',
              u'3179',
              u'18044',
              u'17309',
              u'23932',
              u'24779',
              u'22842',
              u'13712',
              u'2761',
              u'329',
              u'18188',
              u'1657',
              u'27653',
              u'6980',
              u'15459',
              u'21732',
              u'3016',
              u'27669',
              u'313',
              u'16572',
              u'8841',
              u'21065',
              u'29385',
              u'19677',
              u'5279',
              u'23616',
              u'5407',
              u'12466',
              u'20649',
              u'18777',
              u'24672',
              u'24380',
              u'1305',
              u'27540',
              u'20527',
              u'20811',
              u'21861',
              u'13764',
              u'9538',
              u'6713',
              u'16687',
              u'12391',
              u'14691',
              u'453',
              u'13981',
              u'16002',
              u'17409',
              u'780',
              u'15602',
              u'4484',
              u'25867',
              u'15139',
              u'15252',
              u'19629',
              u'29126',
              u'12929',
              u'17256',
              u'14149',
              u'9667',
              u'27815',
              u'14088',
              u'24265',
              u'21847',
              u'19482',
              u'6182',
              u'3084',
              u'12989',
              u'11368',
              u'24344',
              u'15033',
              u'7801',
              u'27294',
              u'13736',
              u'14588',
              u'27663',
              u'8635',
              u'11506',
              u'23709',
              u'27972',
              u'22421',
              u'20315',
              u'26783',
              u'12257',
              u'763',
              u'16834',
              u'13815',
              u'25456',
              u'21229',
              u'14078',
              u'8281',
              u'16181',
              u'16827',
              u'8004',
              u'7258',
              u'1254',
              u'999',
              u'7321',
              u'4287',
              u'16277',
              u'1168',
              u'20924',
              u'28518',
              u'9334',
              u'5233',
              u'20506',
              u'4756',
              u'23225',
              u'20263',
              u'344',
              u'7565',
              u'6831',
              u'15346',
              u'18209',
              u'9234',
              u'4214',
              u'10246',
              u'5835',
              u'4173',
              u'28113',
              u'24331',
              u'23317',
              u'26220',
              u'230',
              u'9012',
              u'23076',
              u'4476',
              u'28459',
              u'17202',
              u'16474',
              u'22805',
              u'2984',
              u'26658',
              u'27160',
              u'12687',
              u'6113',
              u'6716',
              u'18195',
              u'24376',
              u'13795',
              u'8992',
              u'2391',
              u'25912',
              u'5405',
              u'24716',
              u'29286',
              u'8658',
              u'22767',
              u'14630',
              u'14202',
              u'23611',
              u'3966',
              u'7140',
              u'20834',
              u'7268',
              u'12745',
              u'9729',
              u'25383',
              u'8641',
              u'28505',
              u'4914',
              u'7893',
              u'26086',
              u'15686',
              u'14553',
              u'17303',
              u'11866',
              u'9240',
              u'20832',
              u'8561',
              u'18478',
              u'8599',
              u'12399',
              u'21129',
              u'9350',
              u'28022',
              u'23092',
              u'26553',
              u'27106',
              u'6410',
              u'1917',
              u'20098',
              u'25673',
              u'16241',
              u'27032',
              u'25174',
              u'6920',
              u'16343',
              u'16976',
              u'5666',
              u'29034',
              u'8140',
              u'11598',
              u'26774',
              u'16875'],
             38: [u'18793',
              u'21726',
              u'2855',
              u'26158',
              u'14937',
              u'5809',
              u'22144',
              u'1217',
              u'13048',
              u'13652',
              u'12171',
              u'6184',
              u'9963',
              u'26024',
              u'19922',
              u'22835',
              u'163',
              u'3076',
              u'9073',
              u'6158',
              u'10086',
              u'12099',
              u'1119',
              u'6885',
              u'5186',
              u'23821',
              u'3284',
              u'14215',
              u'11388',
              u'18359',
              u'23128',
              u'12444',
              u'14132',
              u'23727',
              u'10922',
              u'9300',
              u'16192',
              u'22652',
              u'28971',
              u'16837',
              u'13689',
              u'19424',
              u'28443',
              u'3893',
              u'303',
              u'11637',
              u'18642',
              u'5692',
              u'3493',
              u'18995',
              u'22101',
              u'19925',
              u'2585',
              u'22398',
              u'1403',
              u'27006',
              u'29438',
              u'26807',
              u'12248',
              u'9947',
              u'4889',
              u'19650',
              u'25529',
              u'12719',
              u'10164',
              u'6228',
              u'11607',
              u'8690',
              u'6422',
              u'504',
              u'5065',
              u'16824',
              u'8067',
              u'24918',
              u'28620',
              u'3749',
              u'2177',
              u'22257',
              u'532',
              u'12382',
              u'25173',
              u'18324',
              u'5225',
              u'22937',
              u'14651',
              u'21222',
              u'20679',
              u'21272',
              u'24614',
              u'28824',
              u'23726',
              u'24559',
              u'18136',
              u'4217',
              u'25168',
              u'2722',
              u'10094',
              u'5427',
              u'8400',
              u'8274',
              u'18501',
              u'15079',
              u'248',
              u'26415',
              u'27318',
              u'10907',
              u'18589',
              u'16205',
              u'24884',
              u'27680',
              u'16833',
              u'8077',
              u'24379',
              u'13939',
              u'18326',
              u'1282',
              u'2660',
              u'5148',
              u'16491',
              u'10084',
              u'4771',
              u'2016',
              u'27588',
              u'8774',
              u'10097',
              u'20560',
              u'22916',
              u'21039',
              u'276',
              u'5971',
              u'24154',
              u'1670',
              u'23343',
              u'24228',
              u'6333',
              u'12323',
              u'9248',
              u'6293',
              u'11090',
              u'10640',
              u'7089',
              u'2786',
              u'26382',
              u'6507',
              u'2517',
              u'19155',
              u'12789',
              u'20436',
              u'23050',
              u'600',
              u'22939',
              u'6675',
              u'6957',
              u'3673',
              u'29015',
              u'18779',
              u'9825',
              u'11789',
              u'918',
              u'28350',
              u'3912',
              u'1215',
              u'10422',
              u'3477',
              u'13365',
              u'24679',
              u'19626',
              u'7480',
              u'13425',
              u'22057',
              u'28898',
              u'3576',
              u'7256',
              u'17306',
              u'6111',
              u'9853',
              u'7784',
              u'5103',
              u'22822',
              u'7498',
              u'5644',
              u'17228',
              u'29197',
              u'8968',
              u'14962',
              u'25134',
              u'18558',
              u'1628',
              u'20836',
              u'4535',
              u'21459',
              u'1275',
              u'29184',
              u'13814',
              u'430',
              u'21235',
              u'25100',
              u'18555',
              u'6342',
              u'22609',
              u'9789',
              u'18766',
              u'8633',
              u'14601',
              u'22403',
              u'15285',
              u'11658',
              u'12119',
              u'19381',
              u'16275',
              u'7972',
              u'19292',
              u'15128',
              u'24259',
              u'8286',
              u'26047',
              u'22130',
              u'26407',
              u'18202',
              u'29330',
              u'9912',
              u'20742',
              u'926',
              u'14690',
              u'18632',
              u'566',
              u'8866',
              u'12483',
              u'16095',
              u'8536',
              u'6141',
              u'11842',
              u'21267',
              u'2788',
              u'4584',
              u'5364',
              u'28077',
              u'27249',
              u'12080',
              u'10352',
              u'14857',
              u'16609',
              u'19307',
              u'28445',
              u'13209',
              u'21409',
              u'11848',
              u'28878',
              u'17347',
              u'19236',
              u'3137',
              u'23546',
              u'10212',
              u'11414',
              u'3172',
              u'187',
              u'1114',
              u'15987',
              u'13128',
              u'6357',
              u'25672',
              u'5441',
              u'24903',
              u'26841',
              u'5732',
              u'12156',
              u'4910',
              u'25934',
              u'5091',
              u'16751',
              u'15013',
              u'24201',
              u'17078',
              u'11379',
              u'21003',
              u'12072',
              u'9074',
              u'98',
              u'24634',
              u'3740',
              u'19580',
              u'6568',
              u'14545',
              u'10364',
              u'24076',
              u'13887',
              u'830',
              u'9724',
              u'22206',
              u'8053',
              u'13714',
              u'23957',
              u'14175',
              u'4813',
              u'26551',
              u'9354',
              u'8345',
              u'2289',
              u'16765',
              u'9866',
              u'2379',
              u'15724',
              u'16882',
              u'20467',
              u'15315',
              u'28767',
              u'519',
              u'13348',
              u'14332',
              u'27991',
              u'1068',
              u'24024',
              u'5844',
              u'17764',
              u'21895',
              u'16641',
              u'10124',
              u'21349',
              u'13722',
              u'12704',
              u'7431',
              u'5814',
              u'23557',
              u'13015',
              u'8918',
              u'4105',
              u'28761',
              u'40',
              u'26676',
              u'3152',
              u'5519',
              u'22185',
              u'16656',
              u'20751',
              u'25082',
              u'20154',
              u'15936',
              u'16225',
              u'27711',
              u'2633',
              u'19491',
              u'17908',
              u'10803',
              u'24266',
              u'16690',
              u'17944',
              u'22893',
              u'28034',
              u'24234',
              u'14723',
              u'6738',
              u'6810',
              u'19926'],
             39: [u'22119',
              u'26527',
              u'9877',
              u'5403',
              u'4182',
              u'16447',
              u'9211',
              u'9814',
              u'2832',
              u'1446',
              u'7447',
              u'14976',
              u'29174',
              u'22473',
              u'26476',
              u'13257',
              u'1085',
              u'21158',
              u'20756',
              u'21547',
              u'22120',
              u'13967',
              u'553',
              u'3146',
              u'14717',
              u'27331',
              u'953',
              u'26847',
              u'7790',
              u'1060',
              u'27687',
              u'12495',
              u'28634',
              u'22737',
              u'20456',
              u'2402',
              u'24116',
              u'11445',
              u'27461',
              u'20650',
              u'11738',
              u'797',
              u'20332',
              u'3492',
              u'14915',
              u'11456',
              u'26810',
              u'28746',
              u'15764',
              u'25445',
              u'15738',
              u'23673',
              u'2194',
              u'28820',
              u'5422',
              u'25011',
              u'9122',
              u'18511',
              u'13677',
              u'29043',
              u'17707',
              u'23232',
              u'26397',
              u'16811',
              u'4869',
              u'12202',
              u'17660',
              u'12471',
              u'12434',
              u'25524',
              u'16110',
              u'26914',
              u'6964',
              u'25427',
              u'8891',
              u'13120',
              u'4587',
              u'12951',
              u'25742',
              u'15531',
              u'10950',
              u'15575',
              u'3689',
              u'8569',
              u'13134',
              u'1677',
              u'1276',
              u'8245',
              u'16360',
              u'18804',
              u'378',
              u'15905',
              u'20706',
              u'15002',
              u'4454',
              u'15024',
              u'7004',
              u'28088',
              u'5453',
              u'15845',
              u'20447',
              u'15497',
              u'9154',
              u'18293',
              u'203',
              u'15414',
              u'6109',
              u'24773',
              u'1817',
              u'4311',
              u'28654',
              u'16013',
              u'1766',
              u'12804',
              u'21568',
              u'11436',
              u'7976',
              u'18013',
              u'8523',
              u'13104',
              u'26098',
              u'22472',
              u'18513',
              u'14061',
              u'852',
              u'5793',
              u'16855',
              u'2908',
              u'13175',
              u'28064',
              u'10186',
              u'11829',
              u'1764',
              u'20229',
              u'2684',
              u'15115',
              u'8856',
              u'19696',
              u'16744',
              u'4093',
              u'20004',
              u'25047',
              u'18660',
              u'13961',
              u'17729',
              u'21303',
              u'29417',
              u'5082',
              u'4430',
              u'2642',
              u'3474',
              u'20708',
              u'1501',
              u'15650',
              u'12396',
              u'18709',
              u'9954',
              u'348',
              u'17587',
              u'16468',
              u'2821',
              u'18482',
              u'20330',
              u'4280',
              u'15396',
              u'5598',
              u'5633',
              u'9847',
              u'19704',
              u'16665',
              u'28421',
              u'1033',
              u'3704',
              u'23378',
              u'5007',
              u'9969',
              u'18191',
              u'5583',
              u'13131',
              u'16044',
              u'9564',
              u'6908',
              u'22330',
              u'16686',
              u'8044',
              u'20498',
              u'25881',
              u'21638',
              u'25769',
              u'26939',
              u'17057',
              u'12763',
              u'20880',
              u'27601',
              u'27952',
              u'16018',
              u'15988',
              u'25044',
              u'7443',
              u'22650',
              u'27185',
              u'4656',
              u'1883',
              u'12531',
              u'6601',
              u'6402',
              u'24735',
              u'13790',
              u'9209',
              u'4573',
              u'11528',
              u'4526',
              u'14137',
              u'872',
              u'454',
              u'24710',
              u'12515',
              u'916',
              u'24589'],
             40: [u'19396',
              u'7278',
              u'13092',
              u'3891',
              u'9835',
              u'356',
              u'11526',
              u'7750',
              u'26319',
              u'7228',
              u'13807',
              u'12324',
              u'1762',
              u'28084',
              u'4890',
              u'18843',
              u'26588',
              u'7822',
              u'5611',
              u'8162',
              u'25434',
              u'12977',
              u'11077',
              u'1859',
              u'13188',
              u'12266',
              u'13656',
              u'13782',
              u'1434',
              u'18455',
              u'24814',
              u'26987',
              u'10088',
              u'11577',
              u'15328',
              u'8503',
              u'20973',
              u'5450',
              u'4557',
              u'27624',
              u'25704',
              u'22701',
              u'24504',
              u'3961',
              u'24952',
              u'1739',
              u'646',
              u'24990',
              u'10075',
              u'24864',
              u'28593',
              u'10545',
              u'26826',
              u'407',
              u'20237',
              u'5634',
              u'18615',
              u'19425',
              u'22123',
              u'16898',
              u'22949',
              u'1362',
              u'10557',
              u'8221',
              u'9626',
              u'8660',
              u'21422',
              u'14275',
              u'26037',
              u'9391',
              u'4797',
              u'29459',
              u'941',
              u'1448',
              u'18285',
              u'14946',
              u'19320',
              u'8719',
              u'28651',
              u'14360',
              u'13350',
              u'23206',
              u'7469',
              u'5083',
              u'23738',
              u'13559',
              u'25065',
              u'9882',
              u'5802',
              u'10329',
              u'15428',
              u'53',
              u'3596',
              u'10733',
              u'20171',
              u'13070',
              u'9167',
              u'7200',
              u'13305',
              u'27595',
              u'24629',
              u'29564',
              u'5323',
              u'249',
              u'27622',
              u'16117',
              u'422',
              u'13199',
              u'29256',
              u'17039',
              u'26255',
              u'14380',
              u'9981',
              u'24050',
              u'8870',
              u'1926',
              u'16808',
              u'11879',
              u'27443',
              u'417',
              u'12428',
              u'21403',
              u'19664',
              u'11725',
              u'8043',
              u'8262',
              u'8080',
              u'28852',
              u'24707',
              u'4733',
              u'28655',
              u'12879',
              u'15879',
              u'1027',
              u'27453',
              u'6302',
              u'14932',
              u'20483',
              u'5866',
              u'32',
              u'1431',
              u'24442',
              u'20930',
              u'23676',
              u'22041',
              u'2784',
              u'389',
              u'17777',
              u'20365',
              u'11681',
              u'25195',
              u'4455',
              u'23028',
              u'27967',
              u'492',
              u'15009',
              u'9542',
              u'7572',
              u'2802',
              u'29108',
              u'22399',
              u'7058',
              u'6849',
              u'4028',
              u'1371',
              u'25197',
              u'25819',
              u'3171',
              u'22874',
              u'25398',
              u'6388',
              u'20032',
              u'12474',
              u'23547',
              u'12676',
              u'21994',
              u'22506',
              u'3857',
              u'15287',
              u'21977',
              u'18189',
              u'4503',
              u'27401',
              u'11207',
              u'2816',
              u'12793',
              u'18249',
              u'11533',
              u'4998',
              u'6792',
              u'2580',
              u'5853',
              u'13834',
              u'8648',
              u'1902',
              u'5178',
              u'6037',
              u'25198',
              u'905',
              u'4497',
              u'5953',
              u'28513',
              u'14412',
              u'18381',
              u'6643',
              u'8416',
              u'20454',
              u'19379',
              u'1381',
              u'308',
              u'12809',
              u'21658',
              u'29527',
              u'14658',
              u'14145',
              u'28260',
              u'18654',
              u'10387',
              u'8645',
              u'2277',
              u'485',
              u'29147',
              u'954',
              u'23098',
              u'23933',
              u'12558',
              u'101',
              u'17798',
              u'7051',
              u'19009',
              u'25287',
              u'28680',
              u'3949',
              u'18298',
              u'21384',
              u'8759',
              u'3351',
              u'15365',
              u'18234',
              u'24128',
              u'15356',
              u'20121',
              u'1192'],
             41: [u'20611',
              u'18313',
              u'9104',
              u'9945',
              u'8639',
              u'1603',
              u'28387',
              u'19949',
              u'10563',
              u'14565',
              u'22191',
              u'18181',
              u'3192',
              u'18184',
              u'1538',
              u'19093',
              u'523',
              u'16651',
              u'18053',
              u'25051',
              u'28454',
              u'19055',
              u'17287',
              u'15112',
              u'7074',
              u'29214',
              u'10630',
              u'21245',
              u'1083',
              u'25469',
              u'20627',
              u'3698',
              u'22683',
              u'2683',
              u'1755',
              u'21451',
              u'20423',
              u'28317',
              u'22681',
              u'5893',
              u'22088',
              u'2434',
              u'19544',
              u'2830',
              u'16393',
              u'28129',
              u'7127',
              u'19729',
              u'8858',
              u'23956',
              u'6466',
              u'27057',
              u'6151',
              u'17192',
              u'11216',
              u'18771',
              u'559',
              u'24242',
              u'29371',
              u'22111',
              u'15805',
              u'6381',
              u'11070',
              u'2373',
              u'20441',
              u'5667',
              u'8963',
              u'19282',
              u'26003',
              u'14661',
              u'21453',
              u'16867',
              u'15493',
              u'16220',
              u'16681',
              u'8548',
              u'3800',
              u'14930',
              u'16598',
              u'27282',
              u'15218',
              u'2904',
              u'12441',
              u'11410',
              u'16094',
              u'14740',
              u'22448',
              u'12076',
              u'8920',
              u'17983',
              u'16038',
              u'805',
              u'28216',
              u'26070',
              u'12414',
              u'14543',
              u'3498',
              u'27971',
              u'23672',
              u'5935',
              u'20358',
              u'2085',
              u'25256',
              u'15004',
              u'6918',
              u'10789',
              u'14182',
              u'3616',
              u'14303',
              u'22498',
              u'11836',
              u'3824',
              u'1452',
              u'4779',
              u'9493',
              u'16727',
              u'25746',
              u'23793',
              u'15183',
              u'11064',
              u'3189',
              u'11523',
              u'4269',
              u'5461',
              u'22409',
              u'2528',
              u'26935',
              u'8802',
              u'29460',
              u'22005',
              u'2414',
              u'1067',
              u'17071',
              u'20426',
              u'16193',
              u'26076',
              u'26632',
              u'28835',
              u'26735',
              u'10576',
              u'26436',
              u'20697',
              u'24989',
              u'24030',
              u'27834',
              u'19712',
              u'15316',
              u'19158',
              u'15617',
              u'20022',
              u'25973',
              u'20948',
              u'18016',
              u'13866',
              u'15162',
              u'29157',
              u'12692',
              u'28320',
              u'16704',
              u'23117',
              u'18711',
              u'28291',
              u'7669',
              u'11687',
              u'25716',
              u'14411',
              u'14392',
              u'6794',
              u'11872',
              u'2308',
              u'12209',
              u'19046',
              u'15098',
              u'26823'],
             42: [u'4911',
              u'7348',
              u'22008',
              u'28842',
              u'22814',
              u'23733',
              u'18305',
              u'7835',
              u'18788',
              u'26085',
              u'25844',
              u'13442',
              u'14876',
              u'23609',
              u'6828',
              u'1097',
              u'10585',
              u'26873',
              u'24873',
              u'20384',
              u'14387',
              u'4825',
              u'21004',
              u'334',
              u'5711',
              u'23779',
              u'24721',
              u'11473',
              u'8876',
              u'18155',
              u'22415',
              u'11776',
              u'23566',
              u'23062',
              u'19830',
              u'1862',
              u'10337',
              u'11265',
              u'18826',
              u'16703',
              u'6318',
              u'4666',
              u'12880',
              u'22028',
              u'2789',
              u'3827',
              u'25947',
              u'12639',
              u'21274',
              u'10918',
              u'9239',
              u'2757',
              u'25832',
              u'20269',
              u'23507',
              u'14279',
              u'19597',
              u'6345',
              u'10721',
              u'10809',
              u'24358',
              u'26751',
              u'9236',
              u'22713',
              u'5895',
              u'11892',
              u'4477',
              u'27210',
              u'120',
              u'20118',
              u'1220',
              u'25318',
              u'26868',
              u'21744',
              u'15579',
              u'103',
              u'23001',
              u'9571',
              u'15860',
              u'25969',
              u'22497',
              u'20340',
              u'10698',
              u'28207',
              u'26930',
              u'16524',
              u'4965',
              u'23874',
              u'6103',
              u'23713',
              u'23735',
              u'23102',
              u'24908',
              u'12651',
              u'1422',
              u'4045',
              u'8224',
              u'12469',
              u'4185',
              u'18502',
              u'11549',
              u'6060',
              u'21557',
              u'26927',
              u'1618',
              u'17505',
              u'2429',
              u'5109',
              u'12659',
              u'16341',
              u'5099',
              u'23333',
              u'3655',
              u'19278',
              u'8436',
              u'27916',
              u'4848',
              u'1957',
              u'18862',
              u'16701',
              u'20053',
              u'5570',
              u'10197',
              u'17508',
              u'7518',
              u'19404',
              u'5951',
              u'4984',
              u'20296',
              u'6633',
              u'6566',
              u'6603',
              u'321',
              u'5606',
              u'1832',
              u'478',
              u'20641',
              u'11360',
              u'26262',
              u'7780',
              u'29271',
              u'4851',
              u'21191',
              u'12388',
              u'25484',
              u'27184',
              u'2304',
              u'17504',
              u'18726',
              u'6872',
              u'18643',
              u'5938',
              u'10857',
              u'9704',
              u'22211',
              u'22653',
              u'25589',
              u'18082',
              u'17449',
              u'1136',
              u'9247',
              u'554',
              u'5277',
              u'11117',
              u'26422',
              u'19121',
              u'18806',
              u'16788',
              u'1983',
              u'19856',
              u'2648',
              u'11458',
              u'19820',
              u'16309',
              u'14731',
              u'16016',
              u'18020',
              u'27844',
              u'24497',
              u'26514',
              u'6417',
              u'29486',
              u'8646',
              u'16718',
              u'13138',
              u'28408',
              u'21418',
              u'22470',
              u'7542',
              u'18968',
              u'13506',
              u'7513',
              u'25286',
              u'10229',
              u'11183',
              u'18569',
              u'3142',
              u'25233',
              u'16175',
              u'979',
              u'1383',
              u'3302',
              u'5551',
              u'622',
              u'490',
              u'28510',
              u'25754',
              u'25085',
              u'24981',
              u'9416',
              u'21710',
              u'25264',
              u'26433',
              u'792',
              u'19043',
              u'6723',
              u'5447',
              u'11905',
              u'4850',
              u'18990',
              u'25150',
              u'1214',
              u'2610',
              u'25053',
              u'23581',
              u'3436',
              u'15622',
              u'4964',
              u'1613',
              u'20638',
              u'18733',
              u'8030'],
             43: [u'29234',
              u'2889',
              u'25860',
              u'26650',
              u'2309',
              u'7324',
              u'14494',
              u'9386',
              u'1639',
              u'23785',
              u'12761',
              u'1549',
              u'4543',
              u'20359',
              u'24438',
              u'9682',
              u'6756',
              u'20394',
              u'6670',
              u'5491',
              u'25827',
              u'10098',
              u'8830',
              u'18892',
              u'11406',
              u'20703',
              u'5224',
              u'28279',
              u'6752',
              u'9208',
              u'27029',
              u'11376',
              u'13797',
              u'23917',
              u'23856',
              u'13867',
              u'254',
              u'19414',
              u'5242',
              u'1011',
              u'27739',
              u'15927',
              u'3669',
              u'22289',
              u'10484',
              u'8268',
              u'14341',
              u'7093',
              u'19172',
              u'7194',
              u'27304',
              u'20256',
              u'5965',
              u'17873',
              u'1934',
              u'14511',
              u'22272',
              u'18494',
              u'26276',
              u'14789',
              u'9468',
              u'18437',
              u'6890',
              u'16945',
              u'12971',
              u'8141',
              u'19444',
              u'16326',
              u'7816',
              u'8165',
              u'10029',
              u'8391',
              u'1259',
              u'17241',
              u'26712',
              u'15097',
              u'20798',
              u'25019',
              u'12192',
              u'7430',
              u'6251',
              u'7345',
              u'16836',
              u'20726',
              u'19089',
              u'2199',
              u'20782',
              u'5438',
              u'29575',
              u'3181',
              u'16698',
              u'15077',
              u'2853',
              u'9761',
              u'28196',
              u'26699',
              u'24698',
              u'3419',
              u'7659',
              u'1500',
              u'12910',
              u'13230',
              u'25424',
              u'17628',
              u'18085',
              u'8542',
              u'28799',
              u'24730',
              u'25474',
              u'2303',
              u'27159',
              u'6163',
              u'22459',
              u'18595',
              u'23955',
              u'349',
              u'26343',
              u'14878',
              u'23325',
              u'4285',
              u'14896',
              u'2378',
              u'21683',
              u'3994',
              u'26431',
              u'10231',
              u'15594',
              u'19512',
              u'8399',
              u'7718',
              u'25081',
              u'2302',
              u'9871',
              u'14021',
              u'21478',
              u'4440',
              u'22154',
              u'11182',
              u'26519',
              u'16263',
              u'27796',
              u'11870',
              u'15425',
              u'26189',
              u'14574',
              u'2842',
              u'2037',
              u'28711',
              u'25993',
              u'20265',
              u'7948',
              u'10249',
              u'3352',
              u'2665',
              u'17257',
              u'11699',
              u'8138',
              u'28899',
              u'15380',
              u'21839',
              u'568',
              u'4944',
              u'1260',
              u'10188',
              u'20275',
              u'3187',
              u'8720',
              u'17020',
              u'27621',
              u'15194',
              u'1815',
              u'992',
              u'10944',
              u'23356',
              u'5122',
              u'11174',
              u'6973',
              u'17106',
              u'18847',
              u'23534',
              u'2950',
              u'20049',
              u'1906',
              u'25875',
              u'11380',
              u'11679',
              u'19201',
              u'22425',
              u'17976',
              u'11149',
              u'5353',
              u'26481',
              u'26004',
              u'19930',
              u'9572',
              u'23833',
              u'298',
              u'7066',
              u'3122',
              u'11737',
              u'20119',
              u'502',
              u'25066',
              u'23815',
              u'11151',
              u'11258',
              u'27144',
              u'3515',
              u'27976',
              u'26482',
              u'3556',
              u'11263',
              u'18068',
              u'9110',
              u'11845',
              u'2044',
              u'8016',
              u'24299',
              u'1130',
              u'22799',
              u'12780',
              u'14100',
              u'21255',
              u'12071',
              u'28436',
              u'19191',
              u'13844',
              u'7012',
              u'16280',
              u'17527',
              u'14174',
              u'26659',
              u'22184',
              u'4357',
              u'9752',
              u'19673',
              u'18267',
              u'12778',
              u'1809',
              u'26643',
              u'28546',
              u'21964',
              u'9058',
              u'22670',
              u'28699',
              u'28245',
              u'22823',
              u'5569',
              u'24913',
              u'29462',
              u'19801',
              u'18938',
              u'8180',
              u'6024',
              u'16614',
              u'11356',
              u'25561',
              u'22317',
              u'5333',
              u'24915',
              u'15036',
              u'18453',
              u'15763',
              u'28344',
              u'19221',
              u'13531',
              u'2884',
              u'26229',
              u'15568',
              u'23719',
              u'16063',
              u'9204',
              u'6237',
              u'9144',
              u'20169',
              u'17915',
              u'764',
              u'12870',
              u'1690',
              u'4075',
              u'22969',
              u'7531',
              u'8167',
              u'113',
              u'13569',
              u'1754',
              u'13501',
              u'2602',
              u'5334',
              u'4166',
              u'9126',
              u'20435',
              u'26906',
              u'22269',
              u'16845',
              u'7403',
              u'26901',
              u'21109',
              u'13196',
              u'23756',
              u'18441',
              u'9591',
              u'23851',
              u'13931',
              u'28533',
              u'5621',
              u'23292',
              u'22485',
              u'22025',
              u'18933',
              u'14519',
              u'11144',
              u'26875',
              u'1077',
              u'10382',
              u'24957',
              u'17696',
              u'3395',
              u'25721',
              u'5048',
              u'23105',
              u'15451',
              u'16324',
              u'5659',
              u'3643',
              u'14579',
              u'28085',
              u'7362',
              u'17856',
              u'13324',
              u'3392',
              u'14844',
              u'2306',
              u'17892',
              u'26915',
              u'12002',
              u'2523',
              u'19602',
              u'14945',
              u'17999',
              u'26747',
              u'10880',
              u'16495',
              u'9429',
              u'9482',
              u'15785',
              u'8908',
              u'6014',
              u'12631',
              u'23219',
              u'23388',
              u'23660',
              u'24326',
              u'21671',
              u'19077',
              u'7364',
              u'26567',
              u'11153',
              u'20934',
              u'4823',
              u'20686',
              u'10218',
              u'15697',
              u'24482'],
             44: [u'8797',
              u'14500',
              u'1736',
              u'5680',
              u'16074',
              u'21225',
              u'8546',
              u'3354',
              u'1370',
              u'13532',
              u'21425',
              u'17603',
              u'26947',
              u'11101',
              u'10013',
              u'15048',
              u'3442',
              u'19253',
              u'19456',
              u'28795',
              u'15310',
              u'9834',
              u'11055',
              u'20850',
              u'11026',
              u'4229',
              u'3838',
              u'20166',
              u'24754',
              u'23923',
              u'25586',
              u'12557',
              u'5957',
              u'1438',
              u'20777',
              u'16567',
              u'23311',
              u'18645',
              u'2422',
              u'6678',
              u'29301',
              u'25567',
              u'9668',
              u'19972',
              u'8758',
              u'2646',
              u'5573',
              u'17843',
              u'25473',
              u'7755',
              u'25551',
              u'25212',
              u'1944',
              u'13624',
              u'25776',
              u'15846',
              u'20879',
              u'23511',
              u'24852',
              u'13469',
              u'14900',
              u'8472',
              u'20533',
              u'3241',
              u'28482',
              u'6782',
              u'27736',
              u'18392',
              u'27692',
              u'19283',
              u'1296',
              u'11434',
              u'13152',
              u'16407',
              u'19259',
              u'21556',
              u'11707',
              u'19237',
              u'29303',
              u'2109',
              u'2423',
              u'19747',
              u'27539',
              u'25732',
              u'1665',
              u'21530',
              u'14926',
              u'7586',
              u'6561',
              u'2476',
              u'10157',
              u'4793',
              u'23468',
              u'16469',
              u'14129',
              u'18573',
              u'18430',
              u'14961',
              u'18864',
              u'11970',
              u'13525',
              u'1304',
              u'4131',
              u'23178',
              u'19986',
              u'12',
              u'21398',
              u'7624',
              u'27099',
              u'22617',
              u'2148',
              u'5959',
              u'9962',
              u'22821',
              u'11763',
              u'8129',
              u'11993',
              u'17025',
              u'9742',
              u'12830',
              u'8200',
              u'15961',
              u'23318',
              u'25115',
              u'13526',
              u'1512',
              u'13061',
              u'18673',
              u'404',
              u'29405',
              u'19356',
              u'10155',
              u'13371',
              u'19852',
              u'2966',
              u'5592',
              u'5713',
              u'27538',
              u'16876',
              u'20746',
              u'21096',
              u'18861',
              u'7274',
              u'14363',
              u'19560',
              u'17593',
              u'12210',
              u'3572',
              u'26704',
              u'16178',
              u'10724',
              u'17930',
              u'26980',
              u'1718',
              u'24506',
              u'2866',
              u'12990',
              u'1744',
              u'2653',
              u'28608',
              u'25663',
              u'19159',
              u'17659',
              u'17028',
              u'12602',
              u'27848',
              u'4908',
              u'10367',
              u'20021',
              u'24167',
              u'10143',
              u'7380',
              u'16230',
              u'23936',
              u'2941',
              u'263',
              u'16700',
              u'29270',
              u'13993',
              u'22950',
              u'28338',
              u'5484',
              u'13560',
              u'13013',
              u'26958',
              u'6331',
              u'22573',
              u'12004',
              u'26212',
              u'5820',
              u'22991',
              u'23246',
              u'8826',
              u'18186',
              u'14768',
              u'24448',
              u'23236',
              u'22756',
              u'23446',
              u'6204',
              u'15041',
              u'11046',
              u'16174',
              u'3169',
              u'24783',
              u'18944',
              u'22294',
              u'23863',
              u'4639',
              u'5283',
              u'26880',
              u'25757',
              u'10607',
              u'8621',
              u'27309',
              u'10005',
              u'10776',
              u'1071',
              u'7803',
              u'13462',
              u'4527',
              u'11812',
              u'16518',
              u'12628',
              u'25188',
              u'691',
              u'22702',
              u'16481',
              u'15282',
              u'21496',
              u'17727',
              u'25170',
              u'19564',
              u'16606',
              u'24427',
              u'27298',
              u'22986',
              u'22208',
              u'29465',
              u'662',
              u'6687',
              u'25292',
              u'13706',
              u'11877',
              u'27001',
              u'26830',
              u'22401',
              u'10761',
              u'6692',
              u'24557',
              u'15515',
              u'27013',
              u'27004',
              u'13020',
              u'14710',
              u'21505',
              u'6740',
              u'11341',
              u'7904',
              u'2844',
              u'13287',
              u'9389',
              u'3289',
              u'22030',
              u'28030',
              u'3201',
              u'10962',
              u'15897',
              u'17469',
              u'15608',
              u'23003',
              u'14977',
              u'17088',
              u'11034',
              u'11452',
              u'1307',
              u'9231',
              u'17349',
              u'19782',
              u'26952',
              u'848',
              u'8694',
              u'18957',
              u'11525',
              u'16541',
              u'25313',
              u'15153',
              u'5022',
              u'8736',
              u'14835',
              u'2021',
              u'19632',
              u'1566',
              u'14938',
              u'9693',
              u'2406',
              u'29021',
              u'18528',
              u'14771',
              u'4445',
              u'18443',
              u'18168',
              u'25685',
              u'20579',
              u'12689',
              u'22612',
              u'11122',
              u'27706',
              u'12035',
              u'28904',
              u'10135',
              u'12351',
              u'6330',
              u'19370',
              u'17170',
              u'21082',
              u'23791',
              u'4029',
              u'8328',
              u'27334',
              u'15748',
              u'1073',
              u'7198',
              u'9476',
              u'19406',
              u'19701',
              u'23211',
              u'17107',
              u'21844',
              u'28559',
              u'27582',
              u'10708',
              u'28853',
              u'6646',
              u'5751',
              u'26770',
              u'7988',
              u'19961',
              u'6045',
              u'4957',
              u'7702',
              u'289',
              u'10763',
              u'13857',
              u'8973'],
             45: [u'29322',
              u'23870',
              u'14709',
              u'2837',
              u'9974',
              u'15711',
              u'3773',
              u'15836',
              u'7170',
              u'25984',
              u'25976',
              u'7676',
              u'18227',
              u'14640',
              u'14266',
              u'14431',
              u'1836',
              u'22829',
              u'18506',
              u'1418',
              u'23751',
              u'29518',
              u'1427',
              u'11369',
              u'2535',
              u'9819',
              u'6218',
              u'3890',
              u'20995',
              u'28650',
              u'26911',
              u'2129',
              u'7560',
              u'11689',
              u'26219',
              u'25703',
              u'5067',
              u'26497',
              u'23540',
              u'18336',
              u'22845',
              u'8462',
              u'28907',
              u'7353',
              u'26890',
              u'3500',
              u'13402',
              u'10394',
              u'23778',
              u'18705',
              u'5578',
              u'29003',
              u'5976',
              u'26198',
              u'13908',
              u'9091',
              u'2774',
              u'8081',
              u'20573',
              u'11772',
              u'22837',
              u'18835',
              u'19079',
              u'24897',
              u'5284',
              u'1724',
              u'5075',
              u'20015',
              u'18605',
              u'25332',
              u'769',
              u'22984',
              u'21736',
              u'5744',
              u'29311',
              u'12700',
              u'26160',
              u'18855',
              u'3452',
              u'15200',
              u'1272',
              u'28290',
              u'17653',
              u'1385',
              u'5375',
              u'4370',
              u'28911',
              u'20829',
              u'11586',
              u'10519',
              u'110',
              u'23376',
              u'11639',
              u'15094',
              u'250',
              u'24287',
              u'16364',
              u'14582',
              u'17080',
              u'24643',
              u'7262',
              u'6963',
              u'27038',
              u'12475',
              u'18152',
              u'3075',
              u'26462',
              u'7316',
              u'6632',
              u'1830',
              u'8139',
              u'17103',
              u'22532',
              u'8318',
              u'14301',
              u'15500',
              u'17911',
              u'336',
              u'18395',
              u'6450',
              u'2106',
              u'5467',
              u'12052',
              u'9892',
              u'10994',
              u'21358',
              u'22717',
              u'2586',
              u'20128',
              u'29501',
              u'540',
              u'26729',
              u'15574',
              u'28674',
              u'22977',
              u'26367',
              u'28555',
              u'2554',
              u'15007',
              u'1652',
              u'19866',
              u'13539',
              u'24671',
              u'1408',
              u'4807',
              u'23892',
              u'18842',
              u'2680',
              u'17665',
              u'19760',
              u'15505',
              u'12059',
              u'17935',
              u'27126',
              u'18387',
              u'15678',
              u'14793',
              u'21180',
              u'13282',
              u'20462',
              u'366',
              u'23017',
              u'22516',
              u'1654',
              u'26479',
              u'4362',
              u'11060',
              u'2025',
              u'10001',
              u'15083',
              u'23610',
              u'17328',
              u'13053',
              u'16215',
              u'10262',
              u'20596',
              u'28156',
              u'173',
              u'25392',
              u'8591',
              u'23384',
              u'19296',
              u'21043',
              u'4487',
              u'9088',
              u'26777',
              u'15437',
              u'9790',
              u'25858',
              u'3712',
              u'9701',
              u'1527',
              u'22264',
              u'9605',
              u'19194',
              u'13310',
              u'6164',
              u'10504',
              u'21885',
              u'27908',
              u'17320',
              u'14245',
              u'1135',
              u'27372',
              u'19345',
              u'13414',
              u'917',
              u'21494',
              u'20544',
              u'29449',
              u'17639',
              u'15523',
              u'11952',
              u'4069',
              u'14293',
              u'13756',
              u'3697',
              u'22640',
              u'20776',
              u'26820',
              u'29548',
              u'8451',
              u'6119',
              u'17600',
              u'19097',
              u'3598',
              u'5962',
              u'22094',
              u'23280',
              u'18644',
              u'23642',
              u'2160',
              u'14166',
              u'12239',
              u'28862',
              u'28783',
              u'14064',
              u'14817',
              u'3623',
              u'20732',
              u'16737',
              u'3096',
              u'8762',
              u'3164',
              u'28189',
              u'13001',
              u'7937',
              u'9184',
              u'27904',
              u'27056',
              u'5741',
              u'2582',
              u'24106',
              u'14711',
              u'701',
              u'17002',
              u'13214',
              u'22423',
              u'9922',
              u'23802',
              u'5074',
              u'22100',
              u'4086',
              u'12459',
              u'4901',
              u'9502',
              u'16504',
              u'18800',
              u'5325',
              u'1903',
              u'22390',
              u'10970',
              u'20094',
              u'521',
              u'4640',
              u'5358',
              u'21074',
              u'5301',
              u'12499',
              u'9977',
              u'6088',
              u'21329',
              u'20737',
              u'27339',
              u'9357',
              u'23312',
              u'13055',
              u'826',
              u'202',
              u'21880',
              u'8271',
              u'29265',
              u'29477',
              u'12978',
              u'1264',
              u'11545',
              u'22582',
              u'3626',
              u'9856',
              u'8654',
              u'19711',
              u'26448',
              u'24485',
              u'25905',
              u'8380',
              u'23286',
              u'4187',
              u'2676',
              u'26385',
              u'25711',
              u'3161',
              u'4261',
              u'4816',
              u'23858',
              u'28542',
              u'19812',
              u'534',
              u'4396',
              u'1841',
              u'24293',
              u'1647',
              u'9692',
              u'1463',
              u'5257',
              u'8259',
              u'2839',
              u'7733',
              u'28307',
              u'5000',
              u'15226',
              u'17164',
              u'25151',
              u'21454',
              u'17216',
              u'2918',
              u'4892',
              u'12758',
              u'1523',
              u'6265',
              u'18559',
              u'1692',
              u'516',
              u'13105',
              u'18108',
              u'20794',
              u'23297',
              u'1590',
              u'3149',
              u'18220',
              u'17336',
              u'5430',
              u'3098',
              u'28149',
              u'18980',
              u'17531',
              u'1968',
              u'18971',
              u'7202',
              u'23865',
              u'22128',
              u'8551',
              u'4973',
              u'15960',
              u'6359',
              u'26546',
              u'12868',
              u'27528',
              u'20497',
              u'13140',
              u'5444',
              u'23216',
              u'9569',
              u'7614',
              u'22480',
              u'853',
              u'18476',
              u'22091',
              u'12420',
              u'8788',
              u'19934',
              u'5171',
              u'15198',
              u'25560',
              u'2636',
              u'25861',
              u'10297',
              u'15422',
              u'18311',
              u'19036',
              u'9881',
              u'1396',
              u'9920',
              u'26625',
              u'19970',
              u'24992',
              u'13011',
              u'18255',
              u'14551',
              u'13180',
              u'24795',
              u'27819',
              u'4517',
              u'23731',
              u'2738',
              u'19845',
              u'990',
              u'17091',
              u'27661',
              u'27287',
              u'26844',
              u'25570',
              u'7781',
              u'1992',
              u'16301',
              u'21829',
              u'21812',
              u'16348',
              u'20621',
              u'12274',
              u'8588',
              u'9732',
              u'16372',
              u'8899',
              u'8233',
              u'28809',
              u'29230',
              u'29009',
              u'26317',
              u'26749',
              u'3504',
              u'23040',
              u'27498',
              u'25478',
              u'10142',
              u'6195',
              u'17528',
              u'23029',
              u'23893',
              u'18087',
              u'16938',
              u'555',
              u'3848',
              u'11276',
              u'18477',
              u'25132',
              u'16404',
              u'10439',
              u'22235',
              u'4804',
              u'14482',
              u'7196',
              u'5463',
              u'21279',
              u'10832',
              u'23414',
              u'21879',
              u'21773',
              u'9405',
              u'27363',
              u'18854',
              u'24824',
              u'2733',
              u'28942',
              u'14339',
              u'4314',
              u'19453',
              u'24200',
              u'24025',
              u'3551',
              u'11516',
              u'4315',
              u'9309',
              u'18178',
              u'7043',
              u'17535',
              u'8166',
              u'20724',
              u'4808',
              u'8049',
              u'28665',
              u'21110',
              u'6539',
              u'10427',
              u'11518',
              u'5876',
              u'13431',
              u'27720',
              u'1563',
              u'22366',
              u'1522',
              u'2224',
              u'24604',
              u'8838',
              u'27642',
              u'14617',
              u'24746',
              u'23942',
              u'11989',
              u'20634'],
             46: [u'5631',
              u'13067',
              u'16523',
              u'4958',
              u'7830',
              u'10396',
              u'9082',
              u'10355',
              u'28472',
              u'3722',
              u'12770',
              u'26236',
              u'14432',
              u'11169',
              u'15868',
              u'21474',
              u'10060',
              u'2553',
              u'5241',
              u'1875',
              u'19042',
              u'18866',
              u'617',
              u'19980',
              u'2218',
              u'4538',
              u'19635',
              u'28993',
              u'8237',
              u'4001',
              u'1720',
              u'11913',
              u'3503',
              u'353',
              u'8151',
              u'13594',
              u'623',
              u'1227',
              u'15567',
              u'16868',
              u'20251',
              u'24882',
              u'1238',
              u'6613',
              u'11588',
              u'1843',
              u'1946',
              u'2798',
              u'19420',
              u'17400',
              u'3012',
              u'15890',
              u'11816',
              u'9889',
              u'24834',
              u'19985',
              u'12485',
              u'16318',
              u'7958',
              u'10837',
              u'17975',
              u'1947',
              u'15892',
              u'29571',
              u'26414',
              u'9221',
              u'12612',
              u'5640',
              u'10036',
              u'9282',
              u'24555',
              u'24691',
              u'23303',
              u'9654',
              u'20682',
              u'17456',
              u'7961',
              u'21379',
              u'18043',
              u'2036',
              u'15259',
              u'2525',
              u'2489',
              u'20681',
              u'3668',
              u'18263',
              u'19740',
              u'20433',
              u'24858',
              u'2530',
              u'1133',
              u'11124',
              u'24762',
              u'18935',
              u'22451',
              u'9656',
              u'27637',
              u'12186',
              u'6461',
              u'21589',
              u'20120',
              u'17218',
              u'14846',
              u'7005',
              u'10366',
              u'6329',
              u'29262',
              u'17236',
              u'20089',
              u'17013',
              u'16224',
              u'26082',
              u'27651',
              u'24490',
              u'1387',
              u'27719',
              u'15032',
              u'11733',
              u'3659',
              u'22234',
              u'13150',
              u'8515',
              u'496',
              u'20475',
              u'27727',
              u'11908',
              u'24407',
              u'15984',
              u'22945',
              u'19202',
              u'8890',
              u'3490',
              u'5679',
              u'16418',
              u'3557',
              u'4272',
              u'20170',
              u'22905',
              u'14879',
              u'26137'],
             47: [u'4215',
              u'4637',
              u'27110',
              u'28240',
              u'2320',
              u'23406',
              u'8771',
              u'23054',
              u'7881',
              u'6225',
              u'16286',
              u'9449',
              u'21610',
              u'23002',
              u'10462',
              u'9438',
              u'4561',
              u'25346',
              u'28492',
              u'15759',
              u'16853',
              u'28850',
              u'26444',
              u'4795',
              u'25485',
              u'984',
              u'17817',
              u'22323',
              u'25094',
              u'28818',
              u'3998',
              u'24105',
              u'1057',
              u'19706',
              u'1623',
              u'22476',
              u'29141',
              u'5119',
              u'8157',
              u'1063',
              u'16627',
              u'4815',
              u'18410',
              u'26259',
              u'25090',
              u'1898',
              u'8879',
              u'22648',
              u'17702',
              u'8567',
              u'28558',
              u'22549',
              u'23077',
              u'12006',
              u'27438',
              u'539',
              u'29195',
              u'25249',
              u'27735',
              u'24813',
              u'3054',
              u'12095',
              u'21470',
              u'19239',
              u'1894',
              u'1148',
              u'26678',
              u'23605',
              u'26325',
              u'8999',
              u'16397',
              u'19084',
              u'8854',
              u'5963',
              u'10292',
              u'17355',
              u'22098',
              u'16128',
              u'15385',
              u'7237',
              u'4515',
              u'18157',
              u'8441',
              u'1696',
              u'14590',
              u'377',
              u'17158',
              u'10806',
              u'27082',
              u'4450',
              u'17235',
              u'23774',
              u'6599',
              u'14265',
              u'16169',
              u'6115',
              u'11321',
              u'4023',
              u'12066',
              u'6732',
              u'6773',
              u'17576',
              u'5330',
              u'17198',
              u'5757',
              u'20702',
              u'24510',
              u'2807',
              u'10822',
              u'21787',
              u'2096',
              u'2893',
              u'1042',
              u'4773',
              u'27452',
              u'12654',
              u'2347',
              u'13598',
              u'22548',
              u'11767',
              u'25598',
              u'28560',
              u'20469',
              u'27985',
              u'3863',
              u'8656',
              u'13763',
              u'14504',
              u'6026',
              u'24166',
              u'8684',
              u'9878',
              u'25396',
              u'28102',
              u'4416',
              u'13537',
              u'23792',
              u'21028',
              u'9513',
              u'13444',
              u'6679',
              u'27812',
              u'14762',
              u'14838',
              u'26640',
              u'10331',
              u'18221',
              u'25448',
              u'20372',
              u'7390',
              u'25302',
              u'1016',
              u'22220',
              u'16816',
              u'18459',
              u'23226',
              u'15391',
              u'16427',
              u'5980',
              u'9566',
              u'27105',
              u'7613',
              u'22571',
              u'7569',
              u'2127',
              u'28717',
              u'21497',
              u'14634',
              u'15092',
              u'11950',
              u'27807',
              u'16956',
              u'19168',
              u'5670',
              u'9382',
              u'17112',
              u'27919',
              u'29442',
              u'22319',
              u'6836',
              u'28659',
              u'7463',
              u'6576',
              u'18658',
              u'19539',
              u'6337',
              u'25270',
              u'19849',
              u'25492',
              u'29341',
              u'8704',
              u'3587',
              u'10999',
              u'25578',
              u'19622',
              u'8888',
              u'19346',
              u'11581',
              u'5622',
              u'22750',
              u'8003',
              u'16159',
              u'25764',
              u'8082',
              u'5618',
              u'11049',
              u'13824',
              u'17476',
              u'12068',
              u'22352',
              u'8799',
              u'5180',
              u'3842',
              u'6800',
              u'26375',
              u'15134',
              u'24446',
              u'26856',
              u'11595',
              u'10479',
              u'18118',
              u'19163',
              u'27517',
              u'1079',
              u'8827',
              u'29307',
              u'5874',
              u'19473',
              u'14257',
              u'5035',
              u'23488',
              u'18024',
              u'14820',
              u'16051',
              u'16752',
              u'22774',
              u'26848',
              u'17318',
              u'4088',
              u'3032',
              u'7862',
              u'12497',
              u'12083',
              u'20017',
              u'8389',
              u'13317',
              u'17841',
              u'29171',
              u'24308',
              u'29520',
              u'28012',
              u'38',
              u'19555',
              u'23859',
              u'10975',
              u'19458',
              u'17353',
              u'9064',
              u'17848',
              u'20189',
              u'24822',
              u'19154',
              u'23057',
              u'5516',
              u'615',
              u'4083',
              u'12015',
              u'5434',
              u'18103',
              u'29500',
              u'12284',
              u'29037',
              u'14116',
              u'24892',
              u'6383',
              u'22942',
              u'13224',
              u'13225',
              u'22029',
              u'19461',
              u'1753',
              u'19252',
              u'23089',
              u'19924',
              u'19662',
              u'10015',
              u'8352',
              u'28792',
              u'23264',
              u'27386',
              u'624',
              u'18669',
              u'6230',
              u'27098'],
             48: [u'19764',
              u'24833',
              u'8213',
              u'27573',
              u'2564',
              u'13208',
              u'26557',
              u'26539',
              u'6617',
              u'28415',
              u'24381',
              u'2619',
              u'24792',
              u'648',
              u'14985',
              u'3378',
              u'7351',
              u'13078',
              u'1225',
              u'24945',
              u'16229',
              u'4562',
              u'15444',
              u'6519',
              u'1534',
              u'27300',
              u'3530',
              u'8977',
              u'9614',
              u'27625',
              u'25917',
              u'29355',
              u'14143',
              u'13984',
              u'26059',
              u'26072',
              u'17823',
              u'27828',
              u'7890',
              u'27532',
              u'23928',
              u'28612',
              u'20471',
              u'12392',
              u'8382',
              u'1873',
              u'19293',
              u'28796',
              u'21758',
              u'29013',
              u'25072',
              u'16111',
              u'2870',
              u'26432',
              u'28532',
              u'28764',
              u'14544',
              u'2136',
              u'11729',
              u'11669',
              u'8311',
              u'4990',
              u'26997',
              u'29506',
              u'11491',
              u'14005',
              u'17676',
              u'10577',
              u'16899',
              u'15740',
              u'23372',
              u'1684',
              u'5909',
              u'27926',
              u'26323',
              u'19104',
              u'21205',
              u'18058',
              u'7425',
              u'9620',
              u'801',
              u'9695',
              u'5331',
              u'757',
              u'28740',
              u'20607',
              u'27791',
              u'26341',
              u'4310',
              u'25161',
              u'24191',
              u'20704',
              u'13584',
              u'18691',
              u'21561',
              u'2034',
              u'9256',
              u'20516',
              u'17982',
              u'22766',
              u'10597',
              u'26644',
              u'20771',
              u'26804',
              u'13728',
              u'27847',
              u'16279',
              u'3694',
              u'25260',
              u'20250',
              u'22722',
              u'15614',
              u'24500',
              u'20304',
              u'29313',
              u'23837',
              u'28861',
              u'10402',
              u'15589',
              u'10643',
              u'11480',
              u'13978',
              u'19785',
              u'17728',
              u'15739',
              u'20793',
              u'24704',
              u'6165',
              u'18251',
              u'24835',
              u'20499',
              u'20575',
              u'21014',
              u'18281',
              u'19261',
              u'23861',
              u'28065',
              u'1468',
              u'2763',
              u'4424',
              u'7559',
              u'3283',
              u'76',
              u'19188',
              u'2805',
              u'19142',
              u'28164',
              u'28770',
              u'10583',
              u'27999',
              u'29183',
              u'14407',
              u'23579',
              u'5207',
              u'16223',
              u'13879',
              u'29035',
              u'26064',
              u'8227',
              u'15044',
              u'18756',
              u'11627',
              u'14193',
              u'29012',
              u'27809',
              u'18945',
              u'28181',
              u'20328',
              u'7517',
              u'24636',
              u'12176',
              u'27458',
              u'1901',
              u'16426',
              u'20895',
              u'22129',
              u'1993',
              u'27811',
              u'13903',
              u'6469',
              u'6374',
              u'22929',
              u'10956',
              u'552',
              u'29476',
              u'2174',
              u'26824',
              u'18388',
              u'22370',
              u'14790',
              u'21054',
              u'2338',
              u'26728',
              u'2903',
              u'15668',
              u'7770',
              u'9686',
              u'12754',
              u'6386',
              u'22603',
              u'26475',
              u'1721',
              u'24015',
              u'5758',
              u'11967',
              u'10642',
              u'240',
              u'15020',
              u'27264',
              u'11551',
              u'3512',
              u'27095',
              u'26894',
              u'12642',
              u'9583',
              u'29241',
              u'21260',
              u'15167',
              u'17498',
              u'400',
              u'18088',
              u'4385',
              u'19857',
              u'27404',
              u'6311',
              u'20906',
              u'28774',
              u'7297',
              u'24682',
              u'15277',
              u'7470',
              u'20531',
              u'693',
              u'1302',
              u'23262',
              u'3856',
              u'13832',
              u'21571',
              u'26872',
              u'23404',
              u'7099',
              u'26326',
              u'20322',
              u'16994',
              u'28562',
              u'8412',
              u'14136',
              u'718',
              u'4297',
              u'9518',
              u'6153',
              u'23069',
              u'19430',
              u'20630',
              u'18601',
              u'27715',
              u'5204',
              u'11739',
              u'17451',
              u'10518',
              u'25108',
              u'16950',
              u'445',
              u'4620',
              u'425',
              u'12039',
              u'14888',
              u'22998',
              u'22062',
              u'20711',
              u'14378',
              u'10821'],
             49: [u'22469',
              u'4129',
              u'7137',
              u'5492',
              u'17373',
              u'9956',
              u'18348',
              u'18073',
              u'27474',
              u'12610',
              u'20669',
              u'13098',
              u'5787',
              u'10953',
              u'7566',
              u'19422',
              u'20180',
              u'5343',
              u'14218',
              u'6635',
              u'20452',
              u'29422',
              u'26771',
              u'29225',
              u'29162',
              u'11281',
              u'15463',
              u'19583',
              u'6128',
              u'7079',
              u'27793',
              u'7745',
              u'28804',
              u'22944',
              u'27659',
              u'19979',
              u'20972',
              u'24312',
              u'29467',
              u'22556',
              u'16387',
              u'10592',
              u'17725',
              u'5872',
              u'28359',
              u'28426',
              u'11497',
              u'16797',
              u'3068',
              u'28974',
              u'8627',
              u'19668',
              u'1513',
              u'7608',
              u'24530',
              u'18192',
              u'11822',
              u'23589',
              u'3746',
              u'21226',
              u'1070',
              u'24104',
              u'9957',
              u'5716',
              u'9366',
              u'18479',
              u'3606',
              u'9713',
              u'12063',
              u'13997',
              u'4149',
              u'19153',
              u'10757',
              u'25719',
              u'25633',
              u'22054',
              u'9030',
              u'21276',
              u'6067',
              u'16109',
              u'24134',
              u'609',
              u'20666',
              u'1464',
              u'20758',
              u'15540',
              u'28719',
              u'27813',
              u'24674',
              u'15224',
              u'21373',
              u'685',
              u'9114',
              u'6787',
              u'24001',
              u'5016',
              u'8483',
              u'20227',
              u'1738',
              u'2364',
              u'14040',
              u'5789',
              u'20874',
              u'9',
              u'12873',
              u'25545',
              u'28301',
              u'725',
              u'28544',
              u'2720',
              u'27469',
              u'19091',
              u'8697',
              u'28877',
              u'13673',
              u'26106',
              u'23111',
              u'7309',
              u'13151',
              u'19513',
              u'2614',
              u'16913',
              u'23138',
              u'28319',
              u'5363',
              u'15460',
              u'16244',
              u'15856',
              u'3521',
              u'23931',
              u'25293',
              u'21554',
              u'11750',
              u'7840',
              u'2946',
              u'29569',
              u'1175',
              u'2845',
              u'1223',
              u'7282',
              u'24435',
              u'1895',
              u'27710',
              u'24420',
              u'11820',
              u'8674',
              u'20545',
              u'12121',
              u'970',
              u'709',
              u'17308',
              u'23880',
              u'19006',
              u'4574',
              u'15719',
              u'6946',
              u'11890',
              u'7341',
              u'27248',
              u'4642',
              u'3236',
              u'26282',
              u'26877',
              u'3553',
              u'3110',
              u'12115',
              u'26413',
              u'25777',
              u'6052',
              u'10745',
              u'1713',
              u'23064',
              u'23683',
              u'11837',
              u'10399',
              u'19232',
              u'15189',
              u'26599',
              u'20196',
              u'13739',
              u'14917',
              u'19136',
              u'26271',
              u'16554',
              u'5773',
              u'21423',
              u'11825',
              u'16907',
              u'24486',
              u'5254',
              u'13423',
              u'28962',
              u'9217',
              u'19648',
              u'634',
              u'8602',
              u'23088',
              u'7795',
              u'10516',
              u'2988',
              u'21924',
              u'20427',
              u'2783',
              u'24046',
              u'13269',
              u'9592',
              u'16874',
              u'11769',
              u'8432',
              u'26092',
              u'18727',
              u'16171',
              u'15116',
              u'25075',
              u'21654',
              u'10897',
              u'15156',
              u'17530',
              u'3350',
              u'13500',
              u'152',
              u'14633',
              u'25351',
              u'7259',
              u'7694',
              u'24717',
              u'583',
              u'2704',
              u'29182',
              u'3622',
              u'1486',
              u'6467',
              u'29610',
              u'11616',
              u'19703',
              u'20449',
              u'10179',
              u'1222',
              u'7897',
              u'24141',
              u'10451',
              u'7317',
              u'16820',
              u'23903',
              u'5994',
              u'827',
              u'28075',
              u'27749',
              u'18844',
              u'7530',
              u'21033',
              u'814',
              u'16357',
              u'2467',
              u'21999',
              u'18731',
              u'7434',
              u'21080',
              u'12968',
              u'5576',
              u'7103',
              u'25281',
              u'14933',
              u'1326',
              u'25073',
              u'27716',
              u'9383',
              u'26543',
              u'10943',
              u'7404',
              u'17313',
              u'1752',
              u'12732',
              u'8079',
              u'17250',
              u'11056',
              u'28262',
              u'12957',
              u'6254',
              u'8581',
              u'10016',
              u'9341',
              u'976',
              u'15126',
              u'5300',
              u'995',
              u'25400',
              u'1404',
              u'17683',
              u'22736',
              u'9442',
              u'13528',
              u'3652',
              u'1048',
              u'13627',
              u'13251',
              u'23055',
              u'9950',
              u'14436',
              u'4373',
              u'23322',
              u'17852',
              u'17444',
              u'15075',
              u'5579',
              u'23046',
              u'21202',
              u'10971',
              u'8777',
              u'13056',
              u'28697',
              u'7491',
              u'9166',
              u'7896',
              u'3531',
              u'21444',
              u'28718',
              u'2775',
              u'18725',
              u'3836',
              u'938',
              u'24013',
              u'3308',
              u'9434',
              u'7085',
              u'13972',
              u'4832',
              u'5039',
              u'22912',
              u'19277',
              u'21884',
              u'875',
              u'6778',
              u'3132',
              u'23869',
              u'20709',
              u'5369',
              u'8355',
              u'1790',
              u'20881',
              u'29556',
              u'3205',
              u'26374',
              u'29512',
              u'15583',
              u'13023',
              u'2472',
              u'18464',
              u'21850',
              u'6075',
              u'20367',
              u'27202',
              u'21574',
              u'12985',
              u'26855',
              u'25748',
              u'8994',
              u'5245',
              u'9432',
              u'9362',
              u'18822',
              u'7492',
              u'14049',
              u'9076',
              u'27320',
              u'4405',
              u'23973',
              u'28840',
              u'25900',
              u'4649',
              u'3127',
              u'5151',
              u'29134',
              u'9365',
              u'1691',
              u'6970',
              u'3584',
              u'28704',
              u'6629',
              u'12094',
              u'8731',
              u'17993',
              u'10463',
              u'6043'],
             50: [u'11019',
              u'255',
              u'29540',
              u'3545',
              u'22745',
              u'9982',
              u'27198',
              u'14029',
              u'13565',
              u'27888',
              u'9806',
              u'2257',
              u'18977',
              u'7199',
              u'7616',
              u'15141',
              u'16351',
              u'24236',
              u'21535',
              u'2220',
              u'14243',
              u'23408',
              u'1395',
              u'29397',
              u'18522',
              u'14232',
              u'16085',
              u'11782',
              u'11503',
              u'14138',
              u'14046',
              u'2836',
              u'13156',
              u'6620',
              u'12655',
              u'21243',
              u'4490',
              u'23489',
              u'12265',
              u'28183',
              u'25602',
              u'2290',
              u'17561',
              u'9138',
              u'3962',
              u'3324',
              u'4667',
              u'13918',
              u'14267',
              u'12452',
              u'5166',
              u'23705',
              u'21661',
              u'1977',
              u'17939',
              u'28299',
              u'10473',
              u'23465',
              u'5708',
              u'11286',
              u'23363',
              u'16373',
              u'24793',
              u'25262',
              u'43',
              u'5807',
              u'28765',
              u'25143',
              u'23666',
              u'13948',
              u'22070',
              u'7837',
              u'10486',
              u'13694',
              u'16145',
              u'21518',
              u'17794',
              u'12184',
              u'22215',
              u'26453',
              u'11500',
              u'3126',
              u'15934',
              u'24311',
              u'18634',
              u'15842',
              u'11464',
              u'4571',
              u'14080',
              u'14564',
              u'142',
              u'3789',
              u'6123',
              u'23934',
              u'695',
              u'15655',
              u'13485',
              u'5397',
              u'17512',
              u'8631',
              u'28097',
              u'17949',
              u'15877',
              u'17282',
              u'20389',
              u'17387',
              u'20739',
              u'23692',
              u'2901',
              u'4459',
              u'14986',
              u'14780',
              u'14631',
              u'29602',
              u'26909',
              u'14238',
              u'24463',
              u'28895',
              u'19918',
              u'13086',
              u'26836',
              u'13716',
              u'376',
              u'7379',
              u'25548',
              u'11382',
              u'17774',
              u'4621',
              u'17481',
              u'444',
              u'8319',
              u'21310',
              u'1237',
              u'8310',
              u'5695',
              u'15458',
              u'21656',
              u'15045',
              u'15409',
              u'5163',
              u'13606',
              u'4027',
              u'10780',
              u'11394',
              u'28125',
              u'6802',
              u'22730',
              u'8740',
              u'25989',
              u'25999',
              u'25519',
              u'26051',
              u'12886',
              u'27683',
              u'9445',
              u'2196',
              u'24579',
              u'2461',
              u'17227',
              u'16283',
              u'7053',
              u'17826',
              u'6775',
              u'19416',
              u'21615',
              u'29203',
              u'12129',
              u'11423',
              u'25599',
              u'1878',
              u'238',
              u'8804',
              u'11175',
              u'1460',
              u'15017',
              u'21429',
              u'259',
              u'1283',
              u'19355',
              u'4057',
              u'24009',
              u'20440',
              u'23474',
              u'4650',
              u'11797',
              u'24405',
              u'28652',
              u'17200',
              u'5133',
              u'20206',
              u'8517',
              u'9387',
              u'8314',
              u'9762',
              u'4158',
              u'4653',
              u'16144',
              u'3456',
              u'7887',
              u'16428',
              u'6047',
              u'24815',
              u'9140',
              u'234',
              u'26828',
              u'20110',
              u'12417',
              u'14345',
              u'18244',
              u'25855',
              u'4333',
              u'21967',
              u'29237',
              u'27518',
              u'13976',
              u'27882',
              u'25135',
              u'26694',
              u'7689',
              u'23560',
              u'24685',
              u'23392',
              u'28263',
              u'3199',
              u'3387',
              u'21742',
              u'5015',
              u'22572',
              u'22464',
              u'816',
              u'18545',
              u'13010',
              u'11532',
              u'20366',
              u'3624',
              u'26235',
              u'19916',
              u'28721',
              u'21302'],
             51: [u'16595',
              u'16151',
              u'16160',
              u'15297',
              u'716',
              u'1399',
              u'9252',
              u'15423',
              u'9815',
              u'28284',
              u'1518',
              u'2081',
              u'16003',
              u'7892',
              u'11062',
              u'18362',
              u'9407',
              u'22233',
              u'5817',
              u'10677',
              u'13112',
              u'107',
              u'9730',
              u'20044',
              u'17084',
              u'21851',
              u'12711',
              u'13784',
              u'22982',
              u'12498',
              u'26240',
              u'18164',
              u'22189',
              u'17082',
              u'20291',
              u'11266',
              u'15511',
              u'24802',
              u'14505',
              u'2838',
              u'23558',
              u'14739',
              u'19182',
              u'19758',
              u'9782',
              u'13030',
              u'24837',
              u'15111',
              u'26348',
              u'3529',
              u'4947',
              u'18717',
              u'24562',
              u'2669',
              u'18213',
              u'23715',
              u'13352',
              u'28002',
              u'21869',
              u'4345',
              u'3618',
              u'23691',
              u'19023',
              u'28457',
              u'20418',
              u'2711',
              u'8340',
              u'10441',
              u'11904',
              u'15202',
              u'18180',
              u'5502',
              u'5027',
              u'5899',
              u'1548',
              u'25509',
              u'25866',
              u'11011',
              u'17837',
              u'8122',
              u'10684',
              u'10115',
              u'2424',
              u'20240',
              u'2164',
              u'5042',
              u'4257',
              u'20175',
              u'20091',
              u'9829',
              u'26706',
              u'22936',
              u'24041',
              u'16649',
              u'479',
              u'20685',
              u'15272',
              u'16055',
              u'16256',
              u'29473',
              u'1850',
              u'20399',
              u'833',
              u'19659',
              u'27912',
              u'20683',
              u'29524',
              u'27218',
              u'9627',
              u'12697',
              u'7378',
              u'11597',
              u'3741',
              u'18173',
              u'24081',
              u'1391',
              u'27278',
              u'20640',
              u'14910',
              u'18297',
              u'3713',
              u'19868',
              u'3885',
              u'21231',
              u'161',
              u'5442',
              u'21115',
              u'11864',
              u'10260',
              u'24641',
              u'25798',
              u'4546',
              u'29357',
              u'24389',
              u'21160',
              u'22930',
              u'14185',
              u'28750',
              u'12634',
              u'11472',
              u'370',
              u'20958',
              u'26295',
              u'26121',
              u'17661',
              u'17181',
              u'9423',
              u'13885',
              u'26379',
              u'12290',
              u'26981',
              u'8092',
              u'16417',
              u'2441',
              u'11603',
              u'11671',
              u'6602',
              u'4292',
              u'4997',
              u'23741',
              u'23760',
              u'7146',
              u'18315',
              u'3523',
              u'6149',
              u'7407',
              u'22988',
              u'29489',
              u'17695',
              u'24980',
              u'5879',
              u'9392',
              u'6428',
              u'6739',
              u'26956',
              u'12547',
              u'29578',
              u'28371',
              u'19064',
              u'26485',
              u'10323',
              u'3670',
              u'22611',
              u'6260',
              u'18218',
              u'5034',
              u'13437',
              u'17232',
              u'25158',
              u'21986',
              u'16369',
              u'24798',
              u'2843',
              u'25888',
              u'12791',
              u'18730',
              u'27454'],
             52: [u'20077',
              u'7515',
              u'11563',
              u'2827',
              u'20081',
              u'10273',
              u'24255',
              u'14018',
              u'25983',
              u'28741',
              u'29136',
              u'27227',
              u'136',
              u'23348',
              u'8012',
              u'7663',
              u'20254',
              u'8085',
              u'28126',
              u'5768',
              u'6072',
              u'4883',
              u'16603',
              u'9032',
              u'14619',
              u'12556',
              u'3329',
              u'9896',
              u'27509',
              u'2305',
              u'22965',
              u'4970',
              u'28313',
              u'26754',
              u'15214',
              u'13085',
              u'13547',
              u'28563',
              u'25909',
              u'14369',
              u'26022',
              u'9868',
              u'20500',
              u'19876',
              u'25505',
              u'18256',
              u'9697',
              u'1543',
              u'12386',
              u'18912',
              u'7377',
              u'26789',
              u'11224',
              u'18913',
              u'9653',
              u'948',
              u'25387',
              u'416',
              u'22270',
              u'9594',
              u'5261',
              u'7173',
              u'17597',
              u'28540',
              u'11561',
              u'28441',
              u'15592',
              u'10705',
              u'14948',
              u'15180',
              u'24276',
              u'9230',
              u'1674',
              u'22966',
              u'5059',
              u'22857',
              u'26290',
              u'29456',
              u'1521',
              u'26598',
              u'3664',
              u'14158',
              u'907',
              u'12389',
              u'12456',
              u'9624',
              u'5193',
              u'28689',
              u'28723',
              u'5181',
              u'12710',
              u'13106',
              u'11335',
              u'9002',
              u'2682',
              u'15998',
              u'1139',
              u'28700',
              u'23854',
              u'18483',
              u'16764',
              u'7834',
              u'7156',
              u'26166',
              u'11961',
              u'28609',
              u'23122',
              u'8210',
              u'3815',
              u'27702',
              u'16104',
              u'23776',
              u'13174',
              u'27225',
              u'10769',
              u'20480',
              u'16653',
              u'15379',
              u'15331',
              u'7571',
              u'11742',
              u'9259',
              u'11706',
              u'1988',
              u'11973',
              u'14927',
              u'9784',
              u'1821',
              u'5538',
              u'26583',
              u'28435',
              u'21864',
              u'16544',
              u'10435',
              u'16901',
              u'9747',
              u'5745',
              u'12295',
              u'11089',
              u'4501',
              u'27430',
              u'19725',
              u'12762',
              u'26264',
              u'13710',
              u'17026',
              u'10813',
              u'25129',
              u'18903',
              u'13200',
              u'18050',
              u'11509',
              u'12866',
              u'10713',
              u'28176',
              u'3091',
              u'2053',
              u'22692',
              u'20614',
              u'5311',
              u'16813',
              u'25088',
              u'15477',
              u'11977',
              u'22067',
              u'8816',
              u'10089',
              u'13911',
              u'6223',
              u'6473',
              u'19135',
              u'14446',
              u'21076',
              u'26399',
              u'14892',
              u'23930',
              u'18382',
              u'19185',
              u'16112',
              u'13334',
              u'16440',
              u'18208',
              u'11293',
              u'18077',
              u'13276',
              u'19634',
              u'17963',
              u'11846',
              u'25793',
              u'24840',
              u'12179',
              u'17700',
              u'21140',
              u'22976',
              u'22095',
              u'14654',
              u'6465',
              u'22780',
              u'143',
              u'13298',
              u'1166',
              u'10491',
              u'27609',
              u'26568',
              u'10108',
              u'24732',
              u'28566',
              u'26159',
              u'25542',
              u'12839',
              u'8608',
              u'23657',
              u'9544',
              u'18840',
              u'4720',
              u'18505',
              u'15632',
              u'22531',
              u'3374',
              u'28551',
              u'13363',
              u'27614',
              u'1173',
              u'23448',
              u'22433',
              u'24328',
              u'25920',
              u'11980',
              u'13578',
              u'14135',
              u'581',
              u'24747',
              u'6091',
              u'19771',
              u'3469',
              u'20680',
              u'14810',
              u'4658',
              u'17000',
              u'11367',
              u'9130',
              u'20636',
              u'9497',
              u'27235',
              u'14782',
              u'6644',
              u'3463',
              u'25936',
              u'25340',
              u'12787',
              u'25098',
              u'20691',
              u'21060',
              u'21680',
              u'2887',
              u'22588',
              u'11690',
              u'12606',
              u'10898',
              u'18529',
              u'3726',
              u'7604',
              u'24101'],
             53: [u'23823',
              u'21041',
              u'8456',
              u'4570',
              u'10468',
              u'16725',
              u'22679',
              u'15229',
              u'24256',
              u'4772',
              u'18358',
              u'7981',
              u'18317',
              u'18512',
              u'20900',
              u'16911',
              u'632',
              u'26144',
              u'26689',
              u'18874',
              u'12823',
              u'28214',
              u'28772',
              u'2385',
              u'21435',
              u'14997',
              u'22716',
              u'619',
              u'19475',
              u'20345',
              u'17569',
              u'4567',
              u'4846',
              u'10604',
              u'26961',
              u'7009',
              u'23190',
              u'6504',
              u'10211',
              u'20647',
              u'19558',
              u'3805',
              u'6161',
              u'13074',
              u'15963',
              u'12613',
              u'25610',
              u'11799',
              u'14913',
              u'6245',
              u'19316',
              u'24676',
              u'4456',
              u'18071',
              u'21989',
              u'15869',
              u'12457',
              u'7783',
              u'7581',
              u'24452',
              u'14572',
              u'2300',
              u'352',
              u'10719',
              u'8594',
              u'18052',
              u'24324',
              u'29220',
              u'8239',
              u'5529',
              u'11210',
              u'24170',
              u'10548',
              u'10628',
              u'20261',
              u'12819',
              u'923',
              u'29441',
              u'1553',
              u'22910',
              u'12133',
              u'25743',
              u'9109',
              u'16067',
              u'14881',
              u'10308',
              u'5981',
              u'3261',
              u'5557',
              u'3886',
              u'20565',
              u'8649',
              u'8967',
              u'6116',
              u'14916',
              u'22032',
              u'17761',
              u'11634',
              u'7696',
              u'7592',
              u'22478',
              u'24517',
              u'15058',
              u'23368',
              u'3729',
              u'26128',
              u'5892',
              u'9355',
              u'24842',
              u'29120',
              u'22286',
              u'8666',
              u'27367',
              u'789',
              u'16560',
              u'21573',
              u'23742',
              u'18291',
              u'28098',
              u'26258',
              u'28121',
              u'20387',
              u'14589',
              u'2464',
              u'15217',
              u'20294',
              u'1376',
              u'9249',
              u'14819',
              u'4303',
              u'4243',
              u'6404',
              u'12182',
              u'22056',
              u'21087',
              u'15854',
              u'2926',
              u'24454',
              u'9530',
              u'25142',
              u'7623',
              u'5763',
              u'1290',
              u'1269',
              u'385',
              u'9575',
              u'18462',
              u'9844',
              u'13776',
              u'16425',
              u'27214',
              u'28300',
              u'13801',
              u'11647',
              u'10031',
              u'23649',
              u'18701',
              u'494',
              u'27689',
              u'28199',
              u'14489',
              u'23786',
              u'8465',
              u'4273',
              u'11353',
              u'26752',
              u'22195',
              u'27629',
              u'15018',
              u'13989',
              u'10330',
              u'2094',
              u'13197',
              u'1559',
              u'6085',
              u'18789',
              u'9650',
              u'11329',
              u'18972',
              u'2670',
              u'15121',
              u'15720',
              u'8742',
              u'5912',
              u'5404',
              u'21284',
              u'3638',
              u'12529',
              u'26191',
              u'4678',
              u'9629',
              u'18417',
              u'15522',
              u'17392',
              u'18038',
              u'10726',
              u'26646',
              u'10505',
              u'23290',
              u'12350',
              u'5541',
              u'9517',
              u'17763',
              u'1496',
              u'29167',
              u'1248',
              u'5202',
              u'19264',
              u'27189',
              u'13778',
              u'1332',
              u'25494',
              u'3334',
              u'27455',
              u'946',
              u'26457',
              u'21898',
              u'18790',
              u'24606',
              u'27667',
              u'29105',
              u'17715',
              u'10073',
              u'2508',
              u'9337',
              u'5867',
              u'29244',
              u'10872',
              u'10659',
              u'19448',
              u'21208',
              u'25728',
              u'25026',
              u'441',
              u'4732',
              u'14204',
              u'25122',
              u'12292',
              u'10991',
              u'21012',
              u'17742',
              u'12025',
              u'11387',
              u'5086',
              u'13678',
              u'7273',
              u'16657',
              u'11374',
              u'1008',
              u'14271',
              u'13998',
              u'8924',
              u'21769',
              u'13711',
              u'16754',
              u'28236',
              u'17051',
              u'159',
              u'6710',
              u'9287',
              u'28001',
              u'26767',
              u'2539',
              u'23271',
              u'28662',
              u'3791',
              u'29284',
              u'3031',
              u'20335',
              u'12994',
              u'17151',
              u'18224',
              u'7535',
              u'17477',
              u'8975',
              u'27396',
              u'21913',
              u'23901',
              u'1931',
              u'17903',
              u'15343',
              u'26550',
              u'11557',
              u'14338',
              u'21029',
              u'7858',
              u'3174',
              u'18626',
              u'11372',
              u'7528',
              u'21038',
              u'24279',
              u'4734',
              u'15826',
              u'25951',
              u'5733',
              u'21945',
              u'2484',
              u'28797',
              u'21952',
              u'12181',
              u'20904',
              u'18900',
              u'25432',
              u'19731',
              u'14694',
              u'14481',
              u'24016',
              u'7159',
              u'5532',
              u'29165',
              u'20997',
              u'2728',
              u'379'],
             54: [u'12530',
              u'23652',
              u'16134',
              u'19791',
              u'11915',
              u'22492',
              u'10152',
              u'11443',
              u'13380',
              u'22764',
              u'2272',
              u'8183',
              u'23829',
              u'26426',
              u'23052',
              u'22486',
              u'19027',
              u'10210',
              u'5314',
              u'8500',
              u'6936',
              u'2672',
              u'9444',
              u'27276',
              u'29106',
              u'16993',
              u'29258',
              u'18072',
              u'12165',
              u'8640',
              u'26010',
              u'7002',
              u'22504',
              u'23877',
              u'27505',
              u'14907',
              u'6524',
              u'16729',
              u'19585',
              u'23223',
              u'15653',
              u'26884',
              u'18092',
              u'1761',
              u'20592',
              u'11429',
              u'24371',
              u'13589',
              u'1727',
              u'14062',
              u'25629',
              u'18130',
              u'20859',
              u'10945',
              u'18039',
              u'1116',
              u'25747',
              u'27805',
              u'16673',
              u'8325',
              u'25515',
              u'24171',
              u'17090',
              u'19893',
              u'3219',
              u'15125',
              u'13482',
              u'12450',
              u'9024',
              u'8035',
              u'7731',
              u'22724',
              u'16413',
              u'20450',
              u'8848',
              u'7633',
              u'27620',
              u'24096',
              u'27866',
              u'11188',
              u'22817',
              u'3636',
              u'13809',
              u'6665',
              u'11978',
              u'20747',
              u'16176',
              u'6982',
              u'4058',
              u'22907',
              u'2142',
              u'17405',
              u'24750',
              u'7042',
              u'27169',
              u'23840',
              u'19021',
              u'19660',
              u'14952',
              u'19412',
              u'21694',
              u'4758',
              u'12195',
              u'10527',
              u'14842',
              u'27152',
              u'19744',
              u'14187',
              u'24413',
              u'15081',
              u'10513',
              u'29300',
              u'83',
              u'18497',
              u'15673',
              u'19645',
              u'838',
              u'408',
              u'6544',
              u'20105',
              u'965',
              u'12437',
              u'26370',
              u'18185',
              u'9606'],
             55: [u'18609',
              u'18860',
              u'14988',
              u'9811',
              u'7452',
              u'28203',
              u'16507',
              u'15442',
              u'23302',
              u'11096',
              u'22788',
              u'11479',
              u'5520',
              u'9556',
              u'26148',
              u'18882',
              u'3287',
              u'14201',
              u'13284',
              u'6126',
              u'10134',
              u'5345',
              u'14499',
              u'13713',
              u'21521',
              u'26641',
              u'12135',
              u'28335',
              u'25175',
              u'2865',
              u'11644',
              u'2353',
              u'4359',
              u'3833',
              u'3899',
              u'5141',
              u'15466',
              u'6133',
              u'882',
              u'3628',
              u'3232',
              u'19377',
              u'2398',
              u'17010',
              u'11039',
              u'10735',
              u'26452',
              u'19353',
              u'7959',
              u'16672',
              u'27880',
              u'21791',
              u'18736',
              u'8040',
              u'6460',
              u'13237',
              u'22227',
              u'14270',
              u'26391',
              u'8013',
              u'1043',
              u'8212',
              u'8119',
              u'10868',
              u'397',
              u'23820',
              u'15084',
              u'3849',
              u'15238',
              u'7598',
              u'7760',
              u'26321',
              u'2892',
              u'10480',
              u'1528',
              u'1356',
              u'12736',
              u'9052',
              u'17981',
              u'4926',
              u'14400',
              u'14799',
              u'13359',
              u'2937',
              u'5948',
              u'1587',
              u'11236',
              u'8331',
              u'2116',
              u'28018',
              u'21247',
              u'6227',
              u'8862',
              u'11995',
              u'13033',
              u'16552',
              u'29143',
              u'14989',
              u'11521',
              u'18397',
              u'13090',
              u'2846',
              u'25343',
              u'29103',
              u'16496',
              u'14853',
              u'27475',
              u'10876',
              u'20882',
              u'19067',
              u'17568',
              u'12748',
              u'14625',
              u'13636',
              u'4199',
              u'2551',
              u'23181',
              u'25579',
              u'20161',
              u'18624',
              u'2070',
              u'13130',
              u'22672',
              u'2287',
              u'8864',
              u'3550',
              u'24574',
              u'7122',
              u'23254',
              u'14409',
              u'28913',
              u'26757',
              u'13041',
              u'15064',
              u'7296',
              u'22324',
              u'3291',
              u'1187',
              u'2360',
              u'14305',
              u'8106',
              u'13240',
              u'23455',
              u'2190',
              u'8257',
              u'29496',
              u'9858',
              u'15733',
              u'20984',
              u'27408',
              u'28986',
              u'18270',
              u'18161',
              u'3066',
              u'6903',
              u'7357',
              u'11513',
              u'27966',
              u'943',
              u'2453',
              u'25315',
              u'27362',
              u'8494',
              u'25099',
              u'204',
              u'1491',
              u'19944',
              u'9447',
              u'22884',
              u'15580',
              u'29188',
              u'11211',
              u'27385',
              u'17458',
              u'8497',
              u'10616',
              u'1640',
              u'14142',
              u'6937',
              u'6698',
              u'6598',
              u'25712',
              u'2850',
              u'1487',
              u'9494',
              u'8354',
              u'7152',
              u'21962',
              u'21048',
              u'10028',
              u'29343',
              u'3190',
              u'7197',
              u'16463',
              u'20971',
              u'3873',
              u'4753',
              u'11613',
              u'2611',
              u'5429',
              u'26639',
              u'26635',
              u'971',
              u'12918',
              u'23745',
              u'10178',
              u'15397',
              u'14637',
              u'4174',
              u'190',
              u'19765',
              u'15694',
              u'14877',
              u'13930',
              u'22940',
              u'10967',
              u'14192',
              u'9348',
              u'9456',
              u'12237',
              u'24212',
              u'28759',
              u'25569',
              u'10401',
              u'18496',
              u'25476',
              u'22656',
              u'15319',
              u'741',
              u'25927',
              u'9198',
              u'14746',
              u'21983',
              u'9099',
              u'7743',
              u'5315',
              u'19427',
              u'5117',
              u'16555',
              u'8449',
              u'27885',
              u'22959',
              u'27328',
              u'5247',
              u'10567',
              u'14008',
              u'28561',
              u'29320',
              u'3911',
              u'9776',
              u'12965',
              u'8485',
              u'21123',
              u'26637',
              u'28364',
              u'13555',
              u'28232',
              u'12753',
              u'15131',
              u'23411',
              u'13620',
              u'19680',
              u'21075',
              u'24857',
              u'13107',
              u'15474',
              u'178',
              u'3803',
              u'23041',
              u'23213',
              u'13839',
              u'21104',
              u'28206',
              u'4414',
              u'6124',
              u'13194',
              u'27591',
              u'6621',
              u'4654',
              u'1869',
              u'19035',
              u'8445',
              u'1127',
              u'23728',
              u'26023',
              u'5510',
              u'19595',
              u'7866',
              u'6328',
              u'16903',
              u'24655',
              u'6061',
              u'2336',
              u'26563',
              u'12922',
              u'28706',
              u'13616',
              u'4871',
              u'11268',
              u'9891',
              u'7737',
              u'11417',
              u'9486',
              u'25824',
              u'17950',
              u'3648',
              u'5531',
              u'28844',
              u'5229',
              u'9123',
              u'24137',
              u'2490',
              u'19330',
              u'19778',
              u'16062',
              u'13083',
              u'4203',
              u'10699',
              u'6729',
              u'7808',
              u'24609',
              u'13762',
              u'13119',
              u'24277',
              u'20352',
              u'20760',
              u'1461',
              u'12919',
              u'13675',
              u'19106',
              u'8362',
              u'25836',
              u'21305',
              u'10824',
              u'9069',
              u'2273',
              u'13619',
              u'14831',
              u'28070',
              u'17723',
              u'15518',
              u'1793',
              u'12438',
              u'2930',
              u'15014',
              u'23370',
              u'19739',
              u'12817',
              u'25196',
              u'28604',
              u'12053',
              u'8423',
              u'23460',
              u'24180',
              u'15840',
              u'22813',
              u'8303',
              u'24826',
              u'29428',
              u'13676',
              u'10172',
              u'25744',
              u'6268',
              u'18261',
              u'29023',
              u'20664',
              u'9260',
              u'28127',
              u'11807',
              u'15114',
              u'832',
              u'13301',
              u'9218',
              u'13071',
              u'21040',
              u'4034',
              u'20827',
              u'19515',
              u'21007',
              u'17998',
              u'4917',
              u'2118',
              u'14439',
              u'16600',
              u'3094',
              u'28068',
              u'11758',
              u'14663',
              u'13016',
              u'2246',
              u'17617',
              u'26402',
              u'6110',
              u'23329',
              u'28744',
              u'15926',
              u'5296',
              u'15848',
              u'24488',
              u'19459',
              u'16865',
              u'9286',
              u'5539',
              u'18768',
              u'27877',
              u'16596'],
             56: [u'8381',
              u'18923',
              u'21108',
              u'7703',
              u'8628',
              u'19325',
              u'27228',
              u'18765',
              u'13341',
              u'11264',
              u'23471',
              u'10865',
              u'3159',
              u'457',
              u'23623',
              u'28973',
              u'9966',
              u'21416',
              u'10535',
              u'4331',
              u'25869',
              u'8885',
              u'20055',
              u'7934',
              u'9072',
              u'11248',
              u'16190',
              u'7017',
              u'21020',
              u'3434',
              u'19432',
              u'22196',
              u'19755',
              u'3024',
              u'1550',
              u'9160',
              u'28921',
              u'6431',
              u'7386',
              u'3367',
              u'15490',
              u'29133',
              u'27832',
              u'15952',
              u'6998',
              u'27091',
              u'21405',
              u'23335',
              u'5227',
              u'8513',
              u'20932',
              u'14242',
              u'19014',
              u'6137',
              u'18303',
              u'24289',
              u'26761',
              u'22921',
              u'19871',
              u'12291',
              u'19206',
              u'18067',
              u'5477',
              u'14811',
              u'25138',
              u'25404',
              u'455',
              u'28830',
              u'14912',
              u'18930',
              u'26312',
              u'28703',
              u'18958',
              u'22684',
              u'17730',
              u'19441',
              u'18120',
              u'26044',
              u'18420',
              u'27675',
              u'8716',
              u'7177',
              u'20060',
              u'11726',
              u'25618',
              u'6877',
              u'10056',
              u'9136',
              u'11623',
              u'29491',
              u'4343',
              u'17675',
              u'28526',
              u'23878',
              u'9672',
              u'10834',
              u'711',
              u'24532',
              u'9971',
              u'7508',
              u'4775',
              u'24576',
              u'9253',
              u'10603',
              u'10259',
              u'23249',
              u'15192',
              u'12331',
              u'22989',
              u'11943',
              u'26154',
              u'9931',
              u'9189',
              u'16295',
              u'19177',
              u'9327',
              u'26989',
              u'14113',
              u'22171',
              u'12658',
              u'23269',
              u'10412',
              u'1348',
              u'1249',
              u'21823',
              u'24728',
              u'5161',
              u'10353',
              u'1363',
              u'23722',
              u'27247',
              u'793',
              u'2917',
              u'1939',
              u'6396',
              u'1611',
              u'17598',
              u'4933',
              u'29066',
              u'13773',
              u'11212',
              u'27277',
              u'4232',
              u'16059',
              u'27982',
              u'25667',
              u'18728',
              u'2110',
              u'1854',
              u'26408',
              u'3692',
              u'9884',
              u'17792',
              u'21567',
              u'24620',
              u'8358',
              u'2280',
              u'17285',
              u'18414',
              u'10791',
              u'2496',
              u'6166',
              u'20580',
              u'24630',
              u'11862',
              u'21250',
              u'27612',
              u'11467',
              u'20157',
              u'5989',
              u'16342',
              u'3646',
              u'24484',
              u'27563',
              u'11103',
              u'18099',
              u'14763',
              u'19611',
              u'1909',
              u'588',
              u'6796',
              u'10996',
              u'16268',
              u'15835',
              u'19850',
              u'16787',
              u'19146',
              u'200',
              u'495',
              u'7084',
              u'25163',
              u'29242',
              u'25655',
              u'4696',
              u'24337',
              u'707',
              u'16790',
              u'19775',
              u'6360',
              u'8665',
              u'12151',
              u'23734',
              u'22124',
              u'14730',
              u'25691',
              u'22313',
              u'11910',
              u'27070',
              u'17408',
              u'11762',
              u'26368',
              u'27876',
              u'27219',
              u'14758',
              u'7481',
              u'8597',
              u'1268',
              u'2991',
              u'24966',
              u'29474',
              u'7570',
              u'8052',
              u'13521',
              u'20929',
              u'21078',
              u'3388',
              u'15992',
              u'9152',
              u'2315',
              u'8996',
              u'18409',
              u'12496',
              u'15209',
              u'24697',
              u'22332',
              u'20218',
              u'12244',
              u'5547',
              u'6736',
              u'24605',
              u'16856',
              u'3445',
              u'26634'],
             57: [u'21417',
              u'451',
              u'956',
              u'18737',
              u'25794',
              u'5329',
              u'8124',
              u'24119',
              u'10254',
              u'8454',
              u'20289',
              u'16762',
              u'22797',
              u'16714',
              u'11794',
              u'26604',
              u'18676',
              u'10508',
              u'18896',
              u'6160',
              u'17645',
              u'5079',
              u'5546',
              u'16391',
              u'19633',
              u'23512',
              u'16264',
              u'3428',
              u'14756',
              u'20780',
              u'25681',
              u'5123',
              u'7359',
              u'27802',
              u'27382',
              u'6287',
              u'20846',
              u'5825',
              u'5060',
              u'7331',
              u'11076',
              u'15186',
              u'7968',
              u'2674',
              u'5715',
              u'23268',
              u'2498',
              u'17176',
              u'27348',
              u'2974',
              u'8919',
              u'25190',
              u'25461',
              u'6375',
              u'4049',
              u'27373',
              u'17957',
              u'4509',
              u'22049',
              u'24462',
              u'6194',
              u'2436',
              u'21582',
              u'18631',
              u'7501',
              u'2281',
              u'9873',
              u'21406',
              u'17871',
              u'8417',
              u'2492',
              u'16027',
              u'3743',
              u'2612',
              u'20768',
              u'10286',
              u'2867',
              u'15087',
              u'27547',
              u'1479',
              u'7411',
              u'2854',
              u'8606',
              u'26743',
              u'14752',
              u'25926',
              u'27556',
              u'8808',
              u'29603',
              u'59',
              u'16035',
              u'6656',
              u'13168',
              u'11463',
              u'6876',
              u'23619',
              u'9543',
              u'26904',
              u'17753',
              u'18587',
              u'7611',
              u'10158',
              u'19605',
              u'4516',
              u'1924',
              u'23237',
              u'20168',
              u'17938',
              u'5668',
              u'14727',
              u'5682',
              u'26239',
              u'19088',
              u'28476',
              u'6552',
              u'27581',
              u'21327',
              u'12575',
              u'8112',
              u'18242',
              u'24542',
              u'26964',
              u'16557',
              u'2067',
              u'23194',
              u'2478',
              u'29027',
              u'25682',
              u'5567',
              u'2149',
              u'21355',
              u'6366',
              u'3586',
              u'25349',
              u'21351',
              u'22913',
              u'23777',
              u'14297',
              u'7132',
              u'16261',
              u'9196',
              u'10542',
              u'27810',
              u'13435',
              u'4293',
              u'1410',
              u'1780',
              u'5603',
              u'10474',
              u'18948',
              u'18656',
              u'3565',
              u'11142',
              u'782',
              u'12545',
              u'16435',
              u'26726',
              u'24736',
              u'15257',
              u'18436',
              u'25506',
              u'10921',
              u'27064',
              u'22537',
              u'6926',
              u'28887',
              u'21696',
              u'14981',
              u'5865',
              u'29096',
              u'21348',
              u'22160',
              u'7388',
              u'27170',
              u'16804',
              u'21428',
              u'11667',
              u'26163',
              u'14490',
              u'14212',
              u'22691',
              u'29407',
              u'27173',
              u'10624',
              u'1281',
              u'17015',
              u'1709',
              u'25008',
              u'29206',
              u'3011',
              u'1646',
              u'8637',
              u'5855',
              u'12381',
              u'5029',
              u'21600',
              u'12270',
              u'19073',
              u'12599',
              u'12092',
              u'21788'],
             58: [u'8394',
              u'3964',
              u'24571',
              u'14652',
              u'20382',
              u'5217',
              u'19707',
              u'1794',
              u'15745',
              u'15889',
              u'27146',
              u'9584',
              u'17616',
              u'15533',
              u'23030',
              u'6373',
              u'7657',
              u'25941',
              u'22515',
              u'28538',
              u'2487',
              u'4255',
              u'4619',
              u'12648',
              u'14225',
              u'28713',
              u'16459',
              u'20912',
              u'2001',
              u'4223',
              u'5636',
              u'21345',
              u'2380',
              u'28278',
              u'22581',
              u'13181',
              u'9361',
              u'8425',
              u'7660',
              u'13860',
              u'9983',
              u'23420',
              u'11058',
              u'2965',
              u'11121',
              u'214',
              u'20883',
              u'11267',
              u'4305',
              u'8532',
              u'16992',
              u'23916',
              u'21353',
              u'12596',
              u'14549',
              u'23704',
              u'15512',
              u'21903',
              u'4344',
              u'1837',
              u'10168',
              u'15431',
              u'16823',
              u'15920',
              u'23476',
              u'5483',
              u'6391',
              u'7486',
              u'8031',
              u'13730',
              u'6527',
              u'12840',
              u'14706',
              u'22680',
              u'4586',
              u'20885',
              u'11330',
              u'18318',
              u'2914',
              u'9573',
              u'10316',
              u'13737',
              u'895',
              u'17251',
              u'5832',
              u'4954',
              u'18699',
              u'17606',
              u'21371',
              u'10929',
              u'27896',
              u'22262',
              u'4276',
              u'4684',
              u'23647',
              u'12409',
              u'7334',
              u'12280',
              u'4224',
              u'4786',
              u'790',
              u'13889',
              u'16308',
              u'20513',
              u'4982',
              u'1205',
              u'13312',
              u'20495',
              u'484',
              u'18684',
              u'12040',
              u'7224',
              u'21705',
              u'23592',
              u'13415',
              u'20184',
              u'27762',
              u'8529',
              u'27633',
              u'2770',
              u'5337',
              u'20092',
              u'10023',
              u'3121',
              u'20321',
              u'26541',
              u'22616',
              u'8466',
              u'14670',
              u'18145',
              u'7305',
              u'5593',
              u'172',
              u'3070',
              u'12310',
              u'24005',
              u'26948',
              u'4739',
              u'2349',
              u'21709',
              u'9619',
              u'2113',
              u'24323',
              u'4596',
              u'551',
              u'2400',
              u'18648',
              u'13335',
              u'13060',
              u'1592',
              u'29169',
              u'22803',
              u'8667',
              u'12429',
              u'16825',
              u'26691',
              u'27833',
              u'21618',
              u'15193',
              u'4979',
              u'8368',
              u'16084',
              u'21316',
              u'21984',
              u'23528',
              u'20203',
              u'8715',
              u'17186',
              u'19847',
              u'17083',
              u'18421',
              u'26381',
              u'6327',
              u'17144',
              u'15011',
              u'15731',
              u'9197',
              u'2003',
              u'18679',
              u'742',
              u'8922',
              u'12390',
              u'25740',
              u'26908',
              u'9135',
              u'10192',
              u'1870',
              u'6021',
              u'13229',
              u'7257',
              u'8383',
              u'15812',
              u'2269',
              u'2644',
              u'21768',
              u'5522',
              u'27879',
              u'23531',
              u'27409',
              u'19798',
              u'20823',
              u'2079',
              u'6788',
              u'28351',
              u'12403',
              u'3853',
              u'28175',
              u'15914',
              u'8159',
              u'14552',
              u'7267',
              u'14833',
              u'6191',
              u'6289',
              u'4610',
              u'26012',
              u'5826',
              u'15151',
              u'487',
              u'7909',
              u'16951',
              u'8415',
              u'15152',
              u'12458',
              u'15411',
              u'6475',
              u'3942',
              u'23402',
              u'22487',
              u'14725',
              u'3034',
              u'27615',
              u'12260',
              u'7266',
              u'1808',
              u'28831',
              u'87',
              u'22258',
              u'6509',
              u'4191',
              u'25023',
              u'28063',
              u'13117',
              u'1760',
              u'15429',
              u'8216',
              u'23093',
              u'23490',
              u'13863',
              u'9746',
              u'10198',
              u'29033',
              u'5055',
              u'7525',
              u'20140',
              u'25384',
              u'635',
              u'18428',
              u'10477',
              u'438',
              u'15129',
              u'8652',
              u'7011',
              u'14773',
              u'3860',
              u'21528',
              u'3486',
              u'7960',
              u'27302',
              u'12411',
              u'15743',
              u'10425',
              u'11389',
              u'6988',
              u'7894',
              u'6057',
              u'23354',
              u'243',
              u'20112',
              u'11191',
              u'29510',
              u'1996',
              u'12311',
              u'21576',
              u'26624',
              u'4525',
              u'11078',
              u'28642',
              u'1882',
              u'5739',
              u'24275',
              u'20373',
              u'15006',
              u'10722',
              u'10939',
              u'24194',
              u'11137',
              u'10471',
              u'22574',
              u'10500',
              u'26928',
              u'4683',
              u'21030',
              u'24120',
              u'27361',
              u'26376',
              u'2074',
              u'16984',
              u'1942',
              u'13464',
              u'28311',
              u'3237',
              u'24107',
              u'5643',
              u'21856',
              u'3216',
              u'579',
              u'26110',
              u'16511',
              u'20910',
              u'27323',
              u'19894',
              u'17068',
              u'28524',
              u'15839',
              u'19779',
              u'17213',
              u'10196',
              u'16987',
              u'11927',
              u'27690',
              u'16761',
              u'14839',
              u'24019',
              u'7482',
              u'29178',
              u'29089',
              u'19329',
              u'21826',
              u'19190',
              u'11931',
              u'8059',
              u'11371',
              u'27886',
              u'15376',
              u'1927',
              u'21221',
              u'27071',
              u'18841',
              u'8934',
              u'24584',
              u'26168',
              u'19129',
              u'332',
              u'11393',
              u'23895',
              u'24045',
              u'4925',
              u'22564',
              u'16515',
              u'23250',
              u'27167',
              u'582',
              u'17222',
              u'28259',
              u'15078',
              u'29058',
              u'25600',
              u'13811',
              u'25443',
              u'13426',
              u'23924',
              u'27422',
              u'17691',
              u'12205',
              u'19421',
              u'17889',
              u'28148',
              u'13219',
              u'6547',
              u'23342',
              u'24599',
              u'5058',
              u'24049',
              u'12742',
              u'11696',
              u'12364',
              u'7884',
              u'5057',
              u'9244',
              u'16226',
              u'10612',
              u'4553',
              u'1722'],
             59: [u'29592',
              u'18260',
              u'8733',
              u'8683',
              u'13220',
              u'14483',
              u'22456',
              u'5566',
              u'6420',
              u'23631',
              u'28737',
              u'29488',
              u'2184',
              u'20800',
              u'20392',
              u'13530',
              u'15995',
              u'17423',
              u'20008',
              u'10866',
              u'29151',
              u'4806',
              u'661',
              u'29502',
              u'5208',
              u'20295',
              u'16694',
              u'28815',
              u'3134',
              u'3230',
              u'5025',
              u'18738',
              u'24794',
              u'19242',
              u'17217',
              u'3092',
              u'1416',
              u'13822',
              u'721',
              u'537',
              u'7658',
              u'25795',
              u'15706',
              u'27039',
              u'13029',
              u'21399',
              u'7617',
              u'16674',
              u'16484',
              u'21363',
              u'11811',
              u'28289',
              u'3987',
              u'6684',
              u'4648',
              u'4749',
              u'27054',
              u'7335',
              u'23265',
              u'16114',
              u'19415',
              u'13136',
              u'26818',
              u'5465',
              u'23240',
              u'23374',
              u'25553',
              u'6354',
              u'13563',
              u'27789',
              u'10054',
              u'15942',
              u'13294',
              u'24240',
              u'11334',
              u'9049',
              u'27030',
              u'14784',
              u'17314',
              u'26180',
              u'631',
              u'13796',
              u'23418',
              u'16334',
              u'21232',
              u'26472',
              u'28992',
              u'14015',
              u'24139',
              u'4755',
              u'20138',
              u'2200',
              u'27026',
              u'9185',
              u'29181',
              u'26695',
              u'9533',
              u'11290',
              u'3917',
              u'902',
              u'17265',
              u'5115',
              u'5018',
              u'7540',
              u'27903',
              u'2154',
              u'10358',
              u'2033',
              u'3807',
              u'9454',
              u'19220',
              u'1239',
              u'12906',
              u'4118',
              u'8595',
              u'3014',
              u'17973',
              u'21682',
              u'6142',
              u'4519',
              u'18444',
              u'4125',
              u'19368',
              u'27464',
              u'12362',
              u'26611',
              u'1689',
              u'19225',
              u'24307',
              u'6735',
              u'6246',
              u'21236',
              u'26361',
              u'27403',
              u'20608',
              u'1972',
              u'20302',
              u'12196',
              u'3775',
              u'11907',
              u'5722',
              u'17183',
              u'22243',
              u'2244',
              u'22809',
              u'13646',
              u'15514',
              u'24650',
              u'1797',
              u'9516',
              u'13892',
              u'25157',
              u'28067',
              u'1242',
              u'13690',
              u'16538',
              u'12447',
              u'4046',
              u'1170',
              u'25205',
              u'5760',
              u'7344',
              u'1703',
              u'13412',
              u'18753',
              u'10864',
              u'27915',
              u'14581',
              u'1985',
              u'18758',
              u'8130',
              u'6985',
              u'8189',
              u'546',
              u'28220',
              u'4789',
              u'27557',
              u'13387',
              u'809',
              u'20199',
              u'11118',
              u'1579',
              u'24638',
              u'6627',
              u'11230',
              u'20978',
              u'22386',
              u'23725',
              u'7543',
              u'947',
              u'11437',
              u'4721',
              u'18876',
              u'14408',
              u'3135',
              u'27535',
              u'20496',
              u'7024',
              u'17779',
              u'1619',
              u'29202',
              u'4350',
              u'27944',
              u'9363',
              u'10926',
              u'13111',
              u'20126',
              u'1777',
              u'25290',
              u'8675',
              u'9923',
              u'9257',
              u'11027',
              u'14650',
              u'27285',
              u'17877',
              u'12141',
              u'25526',
              u'8580',
              u'13581',
              u'6353',
              u'24343',
              u'17359',
              u'13935',
              u'13302',
              u'881',
              u'2291',
              u'12190',
              u'24661',
              u'13987',
              u'20862',
              u'18627',
              u'13786',
              u'1353',
              u'18818',
              u'10614',
              u'1606',
              u'2630',
              u'15770',
              u'12525',
              u'168',
              u'25591',
              u'12869',
              u'73',
              u'9674',
              u'3119',
              u'27761',
              u'5149',
              u'28212',
              u'25727',
              u'18764',
              u'25864',
              u'7622',
              u'2645',
              u'10610',
              u'16483',
              u'5540',
              u'17220',
              u'29414',
              u'3459',
              u'8966',
              u'11190',
              u'16315',
              u'21491',
              u'3300',
              u'6234',
              u'12191',
              u'1261',
              u'6653',
              u'7276',
              u'17901',
              u'17585',
              u'139',
              u'3315',
              u'14843',
              u'7699',
              u'19100',
              u'28076',
              u'15725',
              u'28735',
              u'2133',
              u'14374',
              u'25422',
              u'26349',
              u'2751',
              u'11451',
              u'18365',
              u'9451',
              u'22413',
              u'4017',
              u'4087',
              u'28507',
              u'3560',
              u'12593',
              u'11220',
              u'11185',
              u'5602',
              u'21778',
              u'24764',
              u'27685',
              u'13699',
              u'21867',
              u'9860',
              u'6790',
              u'3843',
              u'9016',
              u'11420',
              u'7506',
              u'25915',
              u'14150',
              u'8535',
              u'12355',
              u'1737',
              u'2188',
              u'1088',
              u'2708',
              u'11746',
              u'1441',
              u'587',
              u'6878'],
             60: [u'7229',
              u'6861',
              u'10615',
              u'16467',
              u'17642',
              u'7158',
              u'26903',
              u'14612',
              u'8669',
              u'21950',
              u'21347',
              u'15829',
              u'20411',
              u'18714',
              u'1390',
              u'5536',
              u'17450',
              u'15816',
              u'22529',
              u'23748',
              u'16415',
              u'24370',
              u'28966',
              u'13337',
              u'29553',
              u'12247',
              u'21538',
              u'26417',
              u'4178',
              u'28742',
              u'1660',
              u'24784',
              u'13682',
              u'18473',
              u'2835',
              u'7289',
              u'8019',
              u'17699',
              u'2617',
              u'16879',
              u'22422',
              u'3786',
              u'24334',
              u'6979',
              u'2228',
              u'24002',
              u'21915',
              u'11709',
              u'22431',
              u'22162',
              u'13902',
              u'4258',
              u'684',
              u'25083',
              u'14571',
              u'15612',
              u'499',
              u'415',
              u'17049',
              u'14696',
              u'27548',
              u'28273',
              u'23948',
              u'8952',
              u'9379',
              u'28091',
              u'13674',
              u'18198',
              u'5088',
              u'11333',
              u'22267',
              u'17081',
              u'24121',
              u'28099',
              u'7437',
              u'24262',
              u'24292',
              u'14262',
              u'25789',
              u'2156',
              u'21664',
              u'21702',
              u'7423',
              u'23939',
              u'11217',
              u'23436',
              u'1928',
              u'8800',
              u'9401',
              u'819',
              u'1597',
              u'25211',
              u'23382',
              u'28428',
              u'24061',
              u'2459',
              u'24949',
              u'9317',
              u'6398',
              u'277',
              u'5987',
              u'18820',
              u'19898',
              u'16232',
              u'19661',
              u'7836',
              u'26883',
              u'13670',
              u'14576',
              u'27963',
              u'20717',
              u'17932',
              u'9630',
              u'7400',
              u'26459',
              u'17718',
              u'18442',
              u'24302',
              u'11469',
              u'4387',
              u'23517',
              u'28614',
              u'15858',
              u'19122',
              u'8657',
              u'15674',
              u'27346',
              u'3228',
              u'19794',
              u'6505',
              u'6893',
              u'23492',
              u'3115',
              u'5044',
              u'20519',
              u'1803',
              u'27617',
              u'4688',
              u'27893',
              u'29381',
              u'20769',
              u'4266',
              u'25715',
              u'6854',
              u'29114',
              u'3837',
              u'14605',
              u'17281',
              u'7147',
              u'21919',
              u'12653',
              u'18802',
              u'6292',
              u'8348',
              u'7420',
              u'16881',
              u'9707',
              u'24487',
              u'9291',
              u'8037',
              u'18582',
              u'25839',
              u'10409',
              u'1503',
              u'27230',
              u'1244',
              u'20239',
              u'20805',
              u'5126',
              u'26164',
              u'18886',
              u'10403',
              u'6567',
              u'27593',
              u'14463',
              u'1025',
              u'11614',
              u'3610',
              u'10140',
              u'14733',
              u'21863',
              u'5274',
              u'12609',
              u'1031',
              u'11377',
              u'4144',
              u'18937',
              u'19200',
              u'27890',
              u'28994',
              u'5917',
              u'27299',
              u'12008',
              u'6049',
              u'3218',
              u'24720',
              u'7503',
              u'28779',
              u'21150',
              u'9008',
              u'14754',
              u'719',
              u'27808',
              u'26387',
              u'15289',
              u'24032',
              u'3683',
              u'26575',
              u'11411',
              u'13553',
              u'6319',
              u'19184',
              u'28321',
              u'1768',
              u'12521',
              u'18787',
              u'17411',
              u'8370',
              u'22947',
              u'2873',
              u'4425',
              u'16809',
              u'4192',
              u'8086',
              u'2437',
              u'11245',
              u'27133',
              u'9046',
              u'15565',
              u'2407',
              u'23897',
              u'27333',
              u'12145',
              u'585',
              u'12256',
              u'13123',
              u'27290',
              u'20655',
              u'7562',
              u'21902',
              u'2267',
              u'20512',
              u'22368',
              u'25961',
              u'9111',
              u'23339',
              u'2735',
              u'21058',
              u'2732',
              u'21386',
              u'12034',
              u'11959',
              u'5974',
              u'8955',
              u'6064',
              u'29086',
              u'6952',
              u'2933',
              u'28959',
              u'13805',
              u'877',
              u'13210',
              u'13813',
              u'4301',
              u'29559',
              u'28343',
              u'29584',
              u'6304',
              u'18746',
              u'9547',
              u'19831',
              u'1511',
              u'11839',
              u'16336',
              u'13114',
              u'6173',
              u'25908',
              u'1169',
              u'29374',
              u'21985',
              u'14274',
              u'18211'],
             61: [u'10893',
              u'24929',
              u'10694',
              u'28683',
              u'21639',
              u'27670',
              u'6784',
              u'26758',
              u'19145',
              u'14851',
              u'28493',
              u'23486',
              u'14517',
              u'9574',
              u'26934',
              u'3184',
              u'25893',
              u'13304',
              u'27154',
              u'11092',
              u'21937',
              u'24185',
              u'12743',
              u'17130',
              u'19727',
              u'21118',
              u'2990',
              u'4875',
              u'4903',
              u'27562',
              u'21990',
              u'23588',
              u'2351',
              u'13256',
              u'20201',
              u'17620',
              u'13481',
              u'26425',
              u'2100',
              u'21555',
              u'21278',
              u'9965',
              u'14249',
              u'8443',
              u'10012',
              u'6351',
              u'8940',
              u'3206',
              u'8822',
              u'13572',
              u'11781',
              u'13549',
              u'10381',
              u'15560',
              u'15262',
              u'18566',
              u'11990',
              u'16953',
              u'11960',
              u'12011',
              u'10675',
              u'114',
              u'20759',
              u'21317',
              u'25359',
              u'12923',
              u'1352',
              u'1921',
              u'2242',
              u'345',
              u'8063',
              u'20624',
              u'23554',
              u'27781',
              u'28980',
              u'1813',
              u'5703',
              u'2526',
              u'1782',
              u'1419',
              u'10472',
              u'14818',
              u'20056',
              u'8947',
              u'27800',
              u'6449',
              u'7649',
              u'21914',
              u'8002',
              u'4409',
              u'25425',
              u'3601',
              u'6829',
              u'23251',
              u'4500',
              u'15117',
              u'21579',
              u'29212',
              u'27983',
              u'6747',
              u'8260',
              u'13330',
              u'16859',
              u'26899',
              u'10068',
              u'11939',
              u'17926',
              u'4457',
              u'10657',
              u'15076',
              u'13149',
              u'26451',
              u'24304',
              u'21681',
              u'12345',
              u'28028',
              u'10580',
              u'19709',
              u'18781',
              u'28857',
              u'26666',
              u'27769',
              u'14821',
              u'28155',
              u'722',
              u'6299',
              u'27947',
              u'18562',
              u'9684',
              u'11673',
              u'3386',
              u'14298',
              u'7590',
              u'12513',
              u'10883',
              u'18492',
              u'15883',
              u'11756',
              u'13864',
              u'22760',
              u'9649',
              u'5192',
              u'5052',
              u'4211',
              u'12223',
              u'20086',
              u'11008',
              u'17591',
              u'21927',
              u'3200',
              u'68',
              u'10717',
              u'18653',
              u'27138',
              u'14321',
              u'1413',
              u'28512',
              u'28384',
              u'20326',
              u'1401',
              u'18604',
              u'12771',
              u'5880',
              u'7126',
              u'4433',
              u'14886',
              u'5626',
              u'18247',
              u'24007',
              u'3900',
              u'12568',
              u'16068',
              u'7143',
              u'28671',
              u'13281',
              u'14123',
              u'21619',
              u'13875'],
             62: [u'28914',
              u'6099',
              u'29389',
              u'2276',
              u'11855',
              u'28039',
              u'10182',
              u'27874',
              u'26474',
              u'12894',
              u'9813',
              u'25148',
              u'12683',
              u'14023',
              u'24780',
              u'2714',
              u'5526',
              u'27602',
              u'17224',
              u'8584',
              u'1872',
              u'11505',
              u'7326',
              u'8618',
              u'17965',
              u'22633',
              u'25670',
              u'21563',
              u'13247',
              u'20422',
              u'2000',
              u'19389',
              u'15489',
              u'26629',
              u'27181',
              u'9277',
              u'8028',
              u'8230',
              u'4432',
              u'11705',
              u'372',
              u'12872',
              u'27867',
              u'24899',
              u'28917',
              u'656',
              u'19174',
              u'8108',
              u'929',
              u'209',
              u'8206',
              u'28829',
              u'21452',
              u'8488',
              u'15588',
              u'10825',
              u'22237',
              u'11014',
              u'14403',
              u'28709',
              u'5922',
              u'21190',
              u'22339',
              u'8299',
              u'21132',
              u'27855',
              u'4551',
              u'18767',
              u'26062',
              u'25257',
              u'7998',
              u'27639',
              u'7438',
              u'19269',
              u'295',
              u'28676',
              u'21961',
              u'17407',
              u'7685',
              u'1344',
              u'13249',
              u'16113',
              u'23593',
              u'17746',
              u'19807',
              u'15354',
              u'2082',
              u'22298',
              u'22393',
              u'1923',
              u'4126',
              u'14239',
              u'27009',
              u'1165',
              u'9420',
              u'12928',
              u'28390',
              u'13880',
              u'19099',
              u'9677',
              u'16795',
              u'21472',
              u'13049',
              u'2625',
              u'29429',
              u'22981',
              u'23596',
              u'15269',
              u'24561',
              u'18521',
              u'9529',
              u'16194',
              u'18530',
              u'7405',
              u'362',
              u'11165',
              u'603',
              u'24365',
              u'13605',
              u'27280',
              u'27729',
              u'22575',
              u'11856',
              u'10376',
              u'22306',
              u'8267',
              u'6551',
              u'4381',
              u'17858',
              u'12629',
              u'23133',
              u'2657',
              u'17086',
              u'15371',
              u'26038',
              u'18347',
              u'23538',
              u'8931',
              u'22870',
              u'9452',
              u'17427',
              u'8705',
              u'10590',
              u'14171',
              u'9637',
              u'5653',
              u'1676',
              u'144',
              u'23747',
              u'21936',
              u'2068',
              u'19270',
              u'24694',
              u'8479',
              u'6350',
              u'7753',
              u'9375',
              u'22992',
              u'12443',
              u'15710',
              u'14086',
              u'7075',
              u'16974',
              u'13176',
              u'26081',
              u'29461',
              u'26234',
              u'19170',
              u'26622',
              u'25823',
              u'28048',
              u'1541',
              u'24595',
              u'21102',
              u'8990',
              u'7876',
              u'11082',
              u'24083',
              u'10288',
              u'20370',
              u'3674',
              u'19808',
              u'10488',
              u'19799',
              u'14570',
              u'7',
              u'29025',
              u'16540',
              u'22437',
              u'3582',
              u'3211',
              u'5735',
              u'2560',
              u'2507',
              u'2781',
              u'22520',
              u'8851',
              u'12733',
              u'3405',
              u'208',
              u'12464',
              u'17175',
              u'17788',
              u'324',
              u'11184',
              u'986',
              u'26983',
              u'3150',
              u'17060',
              u'21437',
              u'1574',
              u'4342',
              u'27121',
              u'29324',
              u'13349',
              u'18732',
              u'2413',
              u'11786',
              u'8809',
              u'17418',
              u'8900',
              u'7953',
              u'6096',
              u'8680',
              u'17942',
              u'2698',
              u'18869',
              u'5169',
              u'2207',
              u'7815',
              u'26827',
              u'10737',
              u'7841',
              u'4590',
              u'25215',
              u'15928',
              u'27194',
              u'24395',
              u'2919',
              u'2878',
              u'273',
              u'16973',
              u'310',
              u'14738',
              u'22690',
              u'6914',
              u'18785',
              u'25935',
              u'24473',
              u'6884',
              u'17666',
              u'22199',
              u'26280',
              u'15487',
              u'25781',
              u'446',
              u'4259',
              u'18821',
              u'26294',
              u'25830',
              u'1729',
              u'7954',
              u'6693',
              u'26170',
              u'15060',
              u'20530',
              u'14273',
              u'18519',
              u'4699',
              u'26354',
              u'14017',
              u'7911',
              u'27704',
              u'235',
              u'23753',
              u'261',
              u'23575',
              u'8969',
              u'594',
              u'6978',
              u'11040',
              u'19273',
              u'11255',
              u'10278',
              u'17436',
              u'12236',
              u'17914',
              u'15065',
              u'4996',
              u'26008',
              u'16408',
              u'7997',
              u'12473',
              u'25531',
              u'20034',
              u'28847',
              u'5124',
              u'25218',
              u'2285',
              u'16375',
              u'20476',
              u'10547',
              u'5114',
              u'6095',
              u'22042',
              u'13346',
              u'22787',
              u'24787',
              u'5549',
              u'2840',
              u'704',
              u'6044',
              u'17326',
              u'14885',
              u'26400',
              u'24491',
              u'191',
              u'27814',
              u'6965',
              u'19601',
              u'26966',
              u'20198',
              u'24769',
              u'27132',
              u'1311',
              u'14887',
              u'9526',
              u'5392',
              u'5929',
              u'28873',
              u'12232',
              u'27868',
              u'18083',
              u'3433',
              u'12901',
              u'8228',
              u'1037',
              u'12930',
              u'4005',
              u'13163',
              u'1455',
              u'25345',
              u'2603',
              u'13476',
              u'20176',
              u'8544',
              u'24997'],
             63: [u'18055',
              u'9616',
              u'24102',
              u'8625',
              u'26991',
              u'25613',
              u'25854',
              u'25029',
              u'21239',
              u'2772',
              u'23099',
              u'12718',
              u'24646',
              u'20155',
              u'13837',
              u'4393',
              u'17191',
              u'25388',
              u'3679',
              u'9996',
              u'28552',
              u'24791',
              u'6673',
              u'10658',
              u'19033',
              u'5727',
              u'27934',
              u'22519',
              u'20443',
              u'24359',
              u'9769',
              u'13044',
              u'27980',
              u'20224',
              u'26330',
              u'27075',
              u'1922',
              u'10984',
              u'22439',
              u'27797',
              u'24204',
              u'3517',
              u'25810',
              u'3782',
              u'4569',
              u'2383',
              u'22460',
              u'4366',
              u'8521',
              u'2716',
              u'25568',
              u'15103',
              u'23671',
              u'22489',
              u'17588',
              u'27153',
              u'3303',
              u'7215',
              u'3537',
              u'4867',
              u'2652',
              u'21699',
              u'13738',
              u'18791',
              u'22377',
              u'6753',
              u'18633',
              u'12173',
              u'13357',
              u'24594',
              u'29312',
              u'17021',
              u'12037',
              u'29032',
              u'23606',
              u'1149',
              u'28682',
              u'2396',
              u'7521',
              u'27668',
              u'7210',
              u'14398',
              u'10653',
              u'1303',
              u'24859',
              u'1483',
              u'29440',
              u'24888',
              u'1314',
              u'21720',
              u'5351',
              u'29173',
              u'4601',
              u'6991',
              u'6596',
              u'5486',
              u'2891',
              u'14404',
              u'15245',
              u'21324',
              u'3309',
              u'12523',
              u'21136',
              u'293',
              u'3742',
              u'2731',
              u'10753',
              u'8147',
              u'5658',
              u'4085',
              u'12941',
              u'28769',
              u'24028',
              u'24877',
              u'287',
              u'23989',
              u'23267',
              u'705',
              u'3217',
              u'12621',
              u'10673',
              u'28598',
              u'20740',
              u'2041',
              u'19413',
              u'16073',
              u'26768',
              u'22105',
              u'4367',
              u'2427',
              u'9322',
              u'9499',
              u'3124',
              u'5774',
              u'12566',
              u'20980',
              u'25435',
              u'25590',
              u'7851',
              u'272',
              u'15501',
              u'450',
              u'10146',
              u'16097',
              u'13963',
              u'22955',
              u'22592',
              u'19070',
              u'10993',
              u'169',
              u'15361',
              u'1507',
              u'9324',
              u'23234',
              u'6321',
              u'15286',
              u'2503',
              u'10662',
              u'4167',
              u'3637',
              u'28440',
              u'10744',
              u'3443',
              u'15786',
              u'1150',
              u'12183',
              u'17582',
              u'22583',
              u'23036',
              u'10850',
              u'21616',
              u'23431',
              u'14320',
              u'1327',
              u'18299',
              u'15291',
              u'24393',
              u'7789',
              u'8011',
              u'6335',
              u'16743',
              u'22260',
              u'18798',
              u'27352',
              u'20106',
              u'17815',
              u'15788',
              u'12370',
              u'890',
              u'27559',
              u'5177',
              u'28854',
              u'18681',
              u'3013',
              u'16179',
              u'14530',
              u'27242',
              u'21148',
              u'26329',
              u'21502',
              u'241',
              u'28763',
              u'22158',
              u'2193',
              u'6066',
              u'526',
              u'26799',
              u'17916',
              u'28901',
              u'19745',
              u'11048',
              u'28151',
              u'21493',
              u'14451',
              u'19759',
              u'2518',
              u'24345',
              u'11818',
              u'17968',
              u'899',
              u'17684',
              u'19951',
              u'3801',
              u'15368',
              u'12461',
              u'6935',
              u'133',
              u'9771',
              u'19599',
              u'12518',
              u'5607',
              u'18663',
              u'29399',
              u'6622',
              u'13018',
              u'24946',
              u'20375',
              u'26867',
              u'5198',
              u'24160',
              u'7714',
              u'6502',
              u'19039',
              u'18125',
              u'6241',
              u'16198',
              u'2144'],
             64: [u'6007',
              u'28727',
              u'4463',
              u'27646',
              u'27243',
              u'27953',
              u'24729',
              u'10681',
              u'12721',
              u'12708',
              u'18480',
              u'21764',
              u'16210',
              u'15374',
              u'17033',
              u'11303',
              u'779',
              u'1847',
              u'26388',
              u'17920',
              u'20928',
              u'3642',
              u'29384',
              u'9661',
              u'15971',
              u'4179',
              u'3505',
              u'6852',
              u'8290',
              u'18621',
              u'6528',
              u'12293',
              u'1126',
              u'15413',
              u'167',
              u'19503',
              u'15894',
              u'24047',
              u'15867',
              u'24271',
              u'27398',
              u'20486',
              u'6172',
              u'26936',
              u'18265',
              u'6817',
              u'14624',
              u'27447',
              u'29062',
              u'1045',
              u'24273',
              u'18235',
              u'1330',
              u'14984',
              u'1673',
              u'24838',
              u'4709',
              u'13779',
              u'5179',
              u'22705',
              u'507',
              u'8571',
              u'22076',
              u'2938',
              u'14649',
              u'28752',
              u'24757',
              u'6630',
              u'6334',
              u'23697',
              u'13329',
              u'25258',
              u'16891',
              u'26661',
              u'7342',
              u'16392',
              u'11405',
              u'4715',
              u'14684',
              u'24578',
              u'4383',
              u'23463',
              u'7370',
              u'18955',
              u'2087',
              u'25876',
              u'13331',
              u'26406',
              u'9683',
              u'5742',
              u'11543',
              u'22113',
              u'4032',
              u'25015',
              u'11031',
              u'11168',
              u'14464',
              u'5901',
              u'2343',
              u'28633',
              u'886',
              u'13721',
              u'9344',
              u'15931',
              u'15280',
              u'12432',
              u'11261',
              u'9828',
              u'21890',
              u'18123',
              u'8337',
              u'26428',
              u'8091',
              u'16471',
              u'28134',
              u'11787',
              u'20421',
              u'11057',
              u'3008',
              u'14163',
              u'12043',
              u'4138',
              u'28378',
              u'19998',
              u'13517',
              u'6608',
              u'28057',
              u'7332',
              u'24444',
              u'3311',
              u'20983',
              u'1493',
              u'18940',
              u'24068',
              u'25582',
              u'27914',
              u'4946',
              u'556',
              u'20172',
              u'29416',
              u'28545',
              u'27279',
              u'4762',
              u'22000',
              u'16648',
              u'24216',
              u'2030',
              u'3123',
              u'5377',
              u'9314',
              u'24090',
              u'28575',
              u'26009',
              u'19940',
              u'25373',
              u'11808',
              u'17947',
              u'24044',
              u'4054',
              u'20602',
              u'21141',
              u'17142',
              u'18051',
              u'1558',
              u'13660',
              u'15944',
              u'22180',
              u'25913',
              u'16395',
              u'29451',
              u'10',
              u'629',
              u'10069',
              u'27545',
              u'21013',
              u'19369',
              u'9576',
              u'7252',
              u'13024',
              u'11894',
              u'7174',
              u'6671',
              u'21411',
              u'5585',
              u'2166',
              u'26813',
              u'14687',
              u'21706',
              u'7038',
              u'2296',
              u'26254',
              u'9941',
              u'18019',
              u'29104',
              u'12837',
              u'22161',
              u'22327',
              u'16646',
              u'23811',
              u'21027',
              u'22562',
              u'10303',
              u'6674',
              u'27351',
              u'4873',
              u'15704',
              u'2913',
              u'5590',
              u'388',
              u'46',
              u'19344',
              u'25362',
              u'13008',
              u'15',
              u'18574',
              u'14224',
              u'20246',
              u'1960',
              u'4592',
              u'8017',
              u'6896',
              u'24896',
              u'11912',
              u'3116',
              u'27558',
              u'2170',
              u'2961',
              u'9410',
              u'29177',
              u'16330',
              u'14466',
              u'22734',
              u'28449',
              u'11520',
              u'27565',
              u'29450',
              u'22059',
              u'18849',
              u'1102',
              u'20635',
              u'7874',
              u'10638',
              u'1757',
              u'23875',
              u'15164',
              u'25713',
              u'1075',
              u'13009',
              u'7457',
              u'21570',
              u'9460',
              u'1393',
              u'10625',
              u'4852',
              u'2440',
              u'11882',
              u'15157',
              u'1147',
              u'5246',
              u'9489',
              u'19124',
              u'993',
              u'16184',
              u'6028',
              u'503',
              u'17439',
              u'13126',
              u'26656',
              u'5601',
              u'24060',
              u'1388',
              u'24905',
              u'28122',
              u'2542',
              u'22058',
              u'23818',
              u'6240',
              u'15968',
              u'15581',
              u'3609',
              u'26192',
              u'27353',
              u'8369',
              u'10599',
              u'3212',
              u'27041',
              u'12942',
              u'25778',
              u'25248',
              u'11788',
              u'3035',
              u'16989',
              u'29446',
              u'29443',
              u'26347',
              u'11975',
              u'21786',
              u'3476',
              u'4974',
              u'8452',
              u'5854',
              u'22043',
              u'29239',
              u'6418',
              u'28218',
              u'19061',
              u'2139',
              u'19600',
              u'8598',
              u'11530',
              u'2685',
              u'12734',
              u'4635',
              u'2002',
              u'8844',
              u'5931',
              u'23466',
              u'26411',
              u'21135',
              u'8073',
              u'26238',
              u'28009',
              u'19885',
              u'23938',
              u'3658',
              u'1508',
              u'1705',
              u'3835',
              u'15912',
              u'11819',
              u'28328',
              u'17875',
              u'21369',
              u'28204',
              u'2231',
              u'491',
              u'9688',
              u'146',
              u'29099',
              u'28171',
              u'730',
              u'10693',
              u'22499',
              u'25062',
              u'23080',
              u'15915',
              u'12019',
              u'6571',
              u'1155',
              u'5798',
              u'4511',
              u'7942',
              u'21330',
              u'20612',
              u'10931',
              u'9846',
              u'3522',
              u'4194',
              u'12131',
              u'16960',
              u'651',
              u'11157',
              u'20438',
              u'25060',
              u'13386',
              u'12229',
              u'12756',
              u'21230',
              u'23006',
              u'26591',
              u'15054',
              u'24219',
              u'22462',
              u'22513',
              u'28775',
              u'28190',
              u'3427',
              u'10995',
              u'17058',
              u'3631',
              u'365',
              u'22149',
              u'19964',
              u'11918',
              u'151',
              u'26230',
              u'3589',
              u'10524',
              u'8088',
              u'24512',
              u'2650',
              u'1123',
              u'13872',
              u'18370',
              u'18412',
              u'21606',
              u'27384',
              u'23037',
              u'1533',
              u'26316'],
             65: [u'9464',
              u'28461',
              u'10195',
              u'10782',
              u'9241',
              u'8202',
              u'24841',
              u'19279',
              u'1564',
              u'5873',
              u'28955',
              u'8199',
              u'10910',
              u'27649',
              u'21755',
              u'27494',
              u'19860',
              u'17835',
              u'26515',
              u'29551',
              u'13292',
              u'4039',
              u'25882',
              u'10574',
              u'1787',
              u'5130',
              u'5475',
              u'10163',
              u'23301',
              u'6267',
              u'25234',
              u'11759',
              u'7691',
              u'2352',
              u'28601',
              u'1979',
              u'13878',
              u'27523',
              u'7070',
              u'12911',
              u'26866',
              u'3113',
              u'1750',
              u'20066',
              u'16608',
              u'23361',
              u'17117',
              u'11923',
              u'10236',
              u'8158',
              u'27496',
              u'7187',
              u'8824',
              u'15525',
              u'7329',
              u'5514',
              u'15406',
              u'22026',
              u'21201',
              u'2403',
              u'25468',
              u'26351',
              u'8317',
              u'4015',
              u'867',
              u'21991',
              u'11888',
              u'19767',
              u'15003',
              u'18217',
              u'21427',
              u'13698',
              u'4555',
              u'14117',
              u'8935',
              u'29059',
              u'340',
              u'27853',
              u'19530',
              u'18369',
              u'23187',
              u'9560',
              u'19795',
              u'13995',
              u'28550',
              u'23510',
              u'14311',
              u'977',
              u'20861',
              u'14682',
              u'11059',
              u'2248',
              u'5116',
              u'12900',
              u'4713',
              u'9546',
              u'25339',
              u'17622',
              u'26200',
              u'14109',
              u'25405',
              u'18510',
              u'4874',
              u'28318',
              u'4044',
              u'25608',
              u'5581',
              u'16585',
              u'25878',
              u'8034',
              u'10738',
              u'4317',
              u'29002',
              u'11158',
              u'2201',
              u'20670',
              u'18272',
              u'16678',
              u'23065',
              u'14734',
              u'14181',
              u'28467',
              u'28935',
              u'14478',
              u'9735',
              u'11104',
              u'2261',
              u'471',
              u'10618',
              u'20761',
              u'9625',
              u'13267',
              u'28825',
              u'27672',
              u'21911',
              u'5818',
              u'9360',
              u'10961',
              u'21750',
              u'1230',
              u'4568',
              u'2566',
              u'15717',
              u'27724',
              u'6516',
              u'9938',
              u'25022',
              u'28418',
              u'27102',
              u'11424',
              u'29006',
              u'9670',
              u'2104',
              u'12927',
              u'29048',
              u'25199',
              u'23590',
              u'7129',
              u'5043',
              u'739',
              u'24621',
              u'20888',
              u'20889',
              u'13631',
              u'8022',
              u'2264',
              u'21125',
              u'5410',
              u'17453',
              u'5195',
              u'19905',
              u'20598',
              u'5841',
              u'7240',
              u'3663',
              u'13827',
              u'14442',
              u'29544',
              u'15265',
              u'17612',
              u'18611',
              u'7796',
              u'5425',
              u'12049',
              u'3173',
              u'29159',
              u'11584',
              u'26337',
              u'21712',
              u'16312',
              u'22881',
              u'17043',
              u'4256',
              u'17758',
              u'7992',
              u'878',
              u'26297',
              u'10444',
              u'6253',
              u'9929',
              u'19674',
              u'15174',
              u'7176',
              u'19120',
              u'21307',
              u'592',
              u'20364',
              u'12268',
              u'23844',
              u'22036',
              u'12874',
              u'18252',
              u'27526',
              u'11684',
              u'22961',
              u'25063',
              u'15135',
              u'11021',
              u'8547',
              u'10920',
              u'22086',
              u'28437',
              u'6515',
              u'26306',
              u'26403',
              u'23617',
              u'14707',
              u'16658',
              u'5282',
              u'9146',
              u'3731',
              u'27792',
              u'10283',
              u'19008',
              u'17581',
              u'8985',
              u'2605',
              u'28963',
              u'24917',
              u'1210',
              u'1454',
              u'14770',
              u'28363',
              u'15778',
              u'14978',
              u'12963',
              u'25812',
              u'6590',
              u'23260',
              u'16186',
              u'6089',
              u'20595',
              u'18245',
              u'3777',
              u'14774',
              u'16815',
              u'29080',
              u'5718',
              u'19533',
              u'24136',
              u'5185',
              u'16506',
              u'27017',
              u'14379',
              u'8976',
              u'7153',
              u'19321',
              u'28528',
              u'28019',
              u'25045',
              u'16670',
              u'28209',
              u'18349',
              u'15922',
              u'25209',
              u'18111',
              u'11550',
              u'754',
              u'23638',
              u'4829',
              u'3277',
              u'22773',
              u'4711',
              u'24531',
              u'5371',
              u'3779',
              u'26437',
              u'11407',
              u'26332',
              u'8116',
              u'3647',
              u'19484',
              u'26461',
              u'20123',
              u'14547',
              u'22290',
              u'15676',
              u'22708',
              u'22751',
              u'26150',
              u'6282',
              u'15182',
              u'17352',
              u'5548',
              u'18222',
              u'5219',
              u'5443',
              u'13153',
              u'5159',
              u'6761',
              u'13077',
              u'5884',
              u'22509',
              u'21219',
              u'20188',
              u'22416',
              u'12649',
              u'28221',
              u'28358',
              u'20461',
              u'2681',
              u'26054',
              u'28170',
              u'23005',
              u'23272',
              u'22844',
              u'10664',
              u'9581',
              u'28628',
              u'9463',
              u'24382',
              u'10123',
              u'4296',
              u'7288',
              u'23308',
              u'22971',
              u'22686',
              u'1918',
              u'27822',
              u'20379',
              u'10405',
              u'3366',
              u'10986',
              u'14377',
              u'21784',
              u'12204',
              u'6499',
              u'25295',
              u'26917',
              u'11295',
              u'18171',
              u'22740',
              u'14598',
              u'12625',
              u'26129',
              u'27375',
              u'9466',
              u'28805',
              u'4634',
              u'4706',
              u'1372',
              u'2342',
              u'28143',
              u'12313',
              u'26682',
              u'927',
              u'14020',
              u'12283',
              u'23327',
              u'15838',
              u'3040',
              u'26665',
              u'13621',
              u'14850',
              u'28739',
              u'26136',
              u'18230',
              u'8717',
              u'11383',
              u'22084',
              u'6079',
              u'11504',
              u'5374',
              u'25344',
              u'15814',
              u'697',
              u'10695',
              u'25452',
              u'20816',
              u'15530',
              u'4137',
              u'25064',
              u'28516',
              u'3338',
              u'21050',
              u'19403',
              u'3166',
              u'11873',
              u'23961',
              u'17584',
              u'1076',
              u'27203',
              u'17632',
              u'9765',
              u'20741',
              u'5495',
              u'25243',
              u'9733',
              u'1981',
              u'6393',
              u'5594',
              u'15101',
              u'19692',
              u'18023',
              u'20701',
              u'13143',
              u'7465',
              u'19761',
              u'10482',
              u'12750',
              u'9792',
              u'23584',
              u'26811',
              u'6470',
              u'21042',
              u'6167',
              u'16728',
              u'14891',
              u'27895',
              u'25054',
              u'25891',
              u'8538',
              u'24577',
              u'97',
              u'22720',
              u'281',
              u'1379',
              u'26344',
              u'17157',
              u'15243',
              u'4593',
              u'8607',
              u'20100',
              u'16948',
              u'25130',
              u'961',
              u'8559',
              u'29309',
              u'18568',
              u'18588',
              u'18214',
              u'17882',
              u'21628',
              u'19726',
              u'12397',
              u'3317',
              u'26338',
              u'4037',
              u'28881',
              u'28964',
              u'13146',
              u'27376',
              u'2715',
              u'25430',
              u'23210',
              u'18638',
              u'15100',
              u'23505',
              u'8353',
              u'1006',
              u'13447',
              u'16902',
              u'20629',
              u'567',
              u'7238',
              u'21865',
              u'20068',
              u'18572',
              u'8839',
              u'24314',
              u'269',
              u'7524',
              u'7630',
              u'4183',
              u'9644',
              u'14795',
              u'26178',
              u'3043',
              u'16451',
              u'11342',
              u'3754',
              u'21211',
              u'1243',
              u'11350',
              u'24421',
              u'22512',
              u'23662',
              u'21311',
              u'4729',
              u'11299',
              u'17633',
              u'9791',
              u'497',
              u'5394',
              u'18248',
              u'21575',
              u'23524',
              u'3590',
              u'1113',
              u'13190',
              u'14804',
              u'20844',
              u'20693',
              u'11328',
              u'20909',
              u'7979',
              u'24912',
              u'6538',
              u'5077',
              u'18026',
              u'12821',
              u'24696',
              u'6002',
              u'6443',
              u'26025',
              u'18744',
              u'20674',
              u'3323',
              u'6626',
              u'19651',
              u'17374',
              u'20752',
              u'12139',
              u'23419',
              u'20214',
              u'26602',
              u'9222',
              u'19150',
              u'23543',
              u'8293',
              u'27673',
              u'2243',
              u'8283',
              u'26631',
              u'3784',
              u'19480',
              u'17333',
              u'15481',
              u'12792',
              u'28058',
              u'16293',
              u'22150',
              u'1153',
              u'15317',
              u'12463',
              u'12643',
              u'23703',
              u'2852',
              u'17971',
              u'1520',
              u'29302',
              u'5496',
              u'12690',
              u'26013',
              u'1662',
              u'2559',
              u'8427',
              u'25955',
              u'22682',
              u'8047',
              u'17713',
              u'10849',
              u'2205',
              u'3307',
              u'29344',
              u'13451',
              u'5089',
              u'14042',
              u'19843',
              u'24976',
              u'17262',
              u'7912',
              u'12650',
              u'8986',
              u'2307',
              u'27417',
              u'18190',
              u'29264',
              u'17006',
              u'13467',
              u'24871',
              u'11336',
              u'10177',
              u'18619',
              u'13748',
              u'21560',
              u'2107',
              u'16782',
              u'26099',
              u'22699',
              u'7615',
              u'12812',
              u'26711',
              u'21045',
              u'11028',
              u'5815',
              u'24999',
              u'26860',
              u'1562',
              u'23550',
              u'25651',
              u'20582',
              u'20191',
              u'10373',
              u'8982',
              u'28372',
              u'24346',
              u'20252',
              u'24529',
              u'21127',
              u'27824',
              u'23960',
              u'7073',
              u'14152',
              u'2531',
              u'12920',
              u'19295',
              u'1524',
              u'10731',
              u'13582',
              u'23799',
              u'5094',
              u'15432',
              u'23004',
              u'17737',
              u'5297'],
             66: [u'27688',
              u'18704',
              u'28786',
              u'20559',
              u'16421',
              u'3114',
              u'17503',
              u'7184',
              u'23879',
              u'5267',
              u'24894',
              u'16747',
              u'14467',
              u'4576',
              u'11359',
              u'23161',
              u'5656',
              u'4880',
              u'2420',
              u'7414',
              u'24743',
              u'28349',
              u'19147',
              u'21022',
              u'20600',
              u'12122',
              u'19615',
              u'26084',
              u'26616',
              u'1309',
              u'3881',
              u'12317',
              u'14422',
              u'22664',
              u'6387',
              u'2374',
              u'19029',
              u'27221',
              u'21021',
              u'11937',
              u'19486',
              u'7314',
              u'11654',
              u'21382',
              u'9659',
              u'16981',
              u'8121',
              u'13393',
              u'21912',
              u'10919',
              u'22590',
              u'20678',
              u'17844',
              u'19112',
              u'7995',
              u'20095',
              u'24820',
              u'25504',
              u'23533',
              u'12113',
              u'29296',
              u'25101',
              u'84',
              u'2814',
              u'28340',
              u'22361',
              u'28833',
              u'12528',
              u'22753',
              u'89',
              u'7671',
              u'3337',
              u'27619',
              u'24782',
              u'4834',
              u'16885',
              u'15196',
              u'2452',
              u'10093',
              u'5746',
              u'17258',
              u'8469',
              u'11490',
              u'16733',
              u'17933',
              u'27092',
              u'18466',
              u'16218',
              u'10426',
              u'5320',
              u'4893',
              u'6362',
              u'19877',
              u'19966',
              u'330',
              u'20197',
              u'13369',
              u'8265',
              u'7214',
              u'14958',
              u'29038',
              u'12991',
              u'3053',
              u'19001',
              u'26251',
              u'15804',
              u'21695',
              u'22279',
              u'29318',
              u'28967',
              u'11899',
              u'15072',
              u'26973',
              u'6029',
              u'29542',
              u'4727',
              u'24524',
              u'6203',
              u'1316',
              u'24386',
              u'23067',
              u'14433',
              u'10044',
              u'14233',
              u'20185',
              u'7758',
              u'10363',
              u'13361',
              u'25693',
              u'6102',
              u'22826',
              u'28869',
              u'10109',
              u'20960',
              u'2240',
              u'28096',
              u'3978',
              u'26172',
              u'6900',
              u'6689',
              u'11483',
              u'9587',
              u'21116',
              u'27493',
              u'3036',
              u'17929',
              u'22561',
              u'20806',
              u'18696',
              u'1936',
              u'18517',
              u'18838',
              u'27424',
              u'25709',
              u'7493',
              u'16999',
              u'4669',
              u'837',
              u'11081',
              u'766',
              u'19848',
              u'7965',
              u'3077',
              u'9212',
              u'25322',
              u'1702',
              u'636',
              u'4067',
              u'26817',
              u'10318',
              u'5977',
              u'16306',
              u'20796',
              u'6655',
              u'2270',
              u'2568',
              u'5772',
              u'13743',
              u'27502',
              u'7311',
              u'6190',
              u'27151',
              u'29018',
              u'3263',
              u'14548',
              u'1742',
              u'7970',
              u'17242',
              u'17662',
              u'18635',
              u'23680',
              u'27477',
              u'8174',
              u'817',
              u'72',
              u'27954',
              u'23168',
              u'2598',
              u'8235',
              u'6320',
              u'5869',
              u'19390',
              u'13568',
              u'13886',
              u'5790',
              u'10565',
              u'6529',
              u'9823',
              u'22800',
              u'6340',
              u'2278',
              u'1267',
              u'2211',
              u'9925',
              u'9951',
              u'1683',
              u'15093',
              u'6669',
              u'29185',
              u'23968',
              u'24341',
              u'9124',
              u'21176',
              u'27958',
              u'22496',
              u'1188',
              u'13895',
              u'10030',
              u'18295',
              u'14583',
              u'26116',
              u'22146',
              u'480',
              u'24977',
              u'14557',
              u'1277',
              u'1342',
              u'443',
              u'7195',
              u'2544',
              u'20840',
              u'18531',
              u'7275',
              u'24554',
              u'7638',
              u'10008',
              u'28013',
              u'13851',
              u'23233',
              u'13300',
              u'22987',
              u'8395',
              u'796',
              u'28871',
              u'9232',
              u'10720',
              u'4308',
              u'23577',
              u'27245',
              u'18989',
              u'13241',
              u'14289',
              u'19681',
              u'13187',
              u'23101',
              u'26286',
              u'17208',
              u'22873',
              u'2358',
              u'28014',
              u'20318',
              u'28226',
              u'10227',
              u'8518',
              u'29076',
              u'20937',
              u'20778',
              u'2409',
              u'13634',
              u'14075',
              u'6444',
              u'10836',
              u'3133',
              u'2768',
              u'3819',
              u'643',
              u'29521',
              u'7373',
              u'20430',
              u'24860',
              u'20731',
              u'9933',
              u'15648',
              u'8875',
              u'17706',
              u'6343',
              u'9112',
              u'14541',
              u'26548',
              u'17121',
              u'17900',
              u'6797',
              u'17854',
              u'16639',
              u'10629',
              u'7086',
              u'9949',
              u'12853',
              u'19522',
              u'3005',
              u'17036',
              u'12107',
              u'1908',
              u'21482',
              u'27209',
              u'10578',
              u'23872',
              u'27978',
              u'25331',
              u'10059',
              u'11683',
              u'21439',
              u'19614',
              u'21361',
              u'18481',
              u'27010',
              u'15057',
              u'26762',
              u'20045',
              u'25385',
              u'5950',
              u'8974',
              u'1485',
              u'3195',
              u'17459',
              u'15577',
              u'21631',
              u'8036',
              u'18343',
              u'8755',
              u'11098',
              u'22957',
              u'14110',
              u'27977',
              u'10078',
              u'28174',
              u'28941',
              u'23714',
              u'26977',
              u'27627',
              u'7692',
              u'17196',
              u'21708',
              u'762',
              u'21525',
              u'24388',
              u'20662',
              u'18867',
              u'23764',
              u'7044',
              u'25002',
              u'24525',
              u'17276',
              u'9906',
              u'19973',
              u'11743',
              u'4177',
              u'26579',
              u'10670',
              u'23063',
              u'2511',
              u'12844',
              u'10546',
              u'29531',
              u'25960',
              u'3414',
              u'29317',
              u'5764',
              u'100',
              u'15274',
              u'18700',
              u'19770',
              u'29426',
              u'541',
              u'13227',
              u'15367',
              u'14928',
              u'12862',
              u'8431',
              u'20876',
              u'1791',
              u'25034',
              u'25708',
              u'10171',
              u'20223',
              u'12559',
              u'27981',
              u'24939',
              u'18360',
              u'10190',
              u'4018',
              u'12315',
              u'28108',
              u'10485',
              u'23124',
              u'28250',
              u'27657',
              u'7935',
              u'26703',
              u'19658',
              u'2158',
              u'19314',
              u'25630',
              u'13941',
              u'10234',
              u'1089',
              u'749',
              u'9485',
              u'7087',
              u'9433',
              u'27748',
              u'27989',
              u'11102',
              u'9986',
              u'23082',
              u'11085',
              u'3321',
              u'26001',
              u'9723',
              u'12589',
              u'20014',
              u'3991',
              u'11152',
              u'19816',
              u'11887',
              u'4835',
              u'14315',
              u'6100',
              u'26651',
              u'22296',
              u'26672',
              u'10433',
              u'16125',
              u'19586',
              u'18237',
              u'27256',
              u'19710',
              u'21891',
              u'29044',
              u'3566',
              u'17669',
              u'8887',
              u'13709',
              u'12219',
              u'7712',
              u'12782',
              u'12277',
              u'5736',
              u'25154',
              u'15184',
              u'25856',
              u'29',
              u'27295',
              u'13871',
              u'12741',
              u'1580',
              u'19210',
              u'17201',
              u'6938',
              u'16258',
              u'11385',
              u'18445',
              u'5734',
              u'26447',
              u'11914',
              u'4073',
              u'3151',
              u'29607',
              u'24681',
              u'529',
              u'6549',
              u'24433',
              u'10414',
              u'13831',
              u'1547',
              u'27843',
              u'16185',
              u'5244',
              u'5535',
              u'23570',
              u'14660',
              u'102',
              u'23743',
              u'19667',
              u'17878',
              u'5096',
              u'9901',
              u'4407',
              u'7365',
              u'17324',
              u'9715',
              u'11770',
              u'18959',
              u'23196',
              u'29082',
              u'19653',
              u'20578',
              u'4488',
              u'17467',
              u'21466',
              u'15744',
              u'10704',
              u'6823',
              u'23911',
              u'22484',
              u'22193',
              u'8568',
              u'5472',
              u'22685',
              u'6430',
              u'2947',
              u'1631',
              u'7585',
              u'15752',
              u'1771',
              u'550',
              u'12367',
              u'14744',
              u'15426',
              u'2045',
              u'28324',
              u'5769',
              u'3719',
              u'7923',
              u'28947',
              u'20376',
              u'27674',
              u'10076',
              u'20109',
              u'8558',
              u'28624',
              u'10309',
              u'15631',
              u'18776',
              u'1426',
              u'26125',
              u'1345',
              u'20470',
              u'9863',
              u'29379',
              u'20996',
              u'16878',
              u'15652',
              u'17711',
              u'28357',
              u'175',
              u'4856',
              u'21730',
              u'22920',
              u'10324',
              u'17401',
              u'21401',
              u'24230',
              u'3239',
              u'2905',
              u'1394',
              u'10175',
              u'29049',
              u'5575',
              u'26445',
              u'16536',
              u'10117',
              u'3335',
              u'5476',
              u'23974',
              u'27100',
              u'28323',
              u'14495',
              u'11806',
              u'20346',
              u'19811',
              u'15546',
              u'2809',
              u'14278',
              u'15350',
              u'11930',
              u'14364',
              u'14066',
              u'19215',
              u'15509',
              u'25381',
              u'9786',
              u'26087',
              u'26293',
              u'15916',
              u'9897',
              u'12252',
              u'18076',
              u'12487',
              u'8549',
              u'5752',
              u'17679',
              u'24450',
              u'8015',
              u'24356',
              u'17629',
              u'3082',
              u'3045',
              u'22442',
              u'18320',
              u'14146',
              u'17055',
              u'24767',
              u'4941',
              u'2019',
              u'10669',
              u'19045',
              u'3594',
              u'18238',
              u'6521',
              u'20501',
              u'22689',
              u'10941',
              u'16321',
              u'10248',
              u'24477',
              u'20853',
              u'7429',
              u'10033',
              u'12395',
              u'1317',
              u'1026',
              u'5288',
              u'21124',
              u'29606',
              u'9205',
              u'16292',
              u'20114',
              u'17962',
              u'1615',
              u'8097',
              u'13093',
              u'8136',
              u'2874',
              u'17178',
              u'5366',
              u'28534',
              u'19749',
              u'9944',
              u'9233',
              u'12160',
              u'18373',
              u'3286',
              u'4460',
              u'17721',
              u'515',
              u'14351',
              u'20412',
              u'16849',
              u'25654',
              u'18585',
              u'22463',
              u'19395',
              u'15124',
              u'19241',
              u'12332',
              u'21265',
              u'1871',
              u'5150',
              u'13162',
              u'13881',
              u'28112'],
             67: [u'19594',
              u'7880',
              u'5767',
              u'21590',
              u'19551',
              u'27684',
              u'11052',
              u'7863',
              u'3802',
              u'26994',
              u'13132',
              u'9655',
              u'22278',
              u'23026',
              u'27694',
              u'21253',
              u'13632',
              u'19685',
              u'28211',
              u'28106',
              u'166',
              u'3758',
              u'8453',
              u'3830',
              u'3728',
              u'24640',
              u'21605',
              u'4035',
              u'19267',
              u'17416',
              u'7867',
              u'9861',
              u'9225',
              u'11652',
              u'6392',
              u'21932',
              u'618',
              u'24583',
              u'27951',
              u'6768',
              u'6074',
              u'341',
              u'4566',
              u'2099',
              u'1710',
              u'5426',
              u'10467',
              u'11621',
              u'7966',
              u'11198',
              u'17156',
              u'19157',
              u'9131',
              u'5070',
              u'14944',
              u'5362',
              u'20487',
              u'20419',
              u'17442',
              u'21553',
              u'25623',
              u'17114',
              u'807',
              u'21753',
              u'25611',
              u'17502',
              u'23740',
              u'17801',
              u'8782',
              u'16411',
              u'23900',
              u'24303',
              u'21659',
              u'9991',
              u'27536',
              u'3485',
              u'10183',
              u'7730',
              u'17680',
              u'16235',
              u'21149',
              u'13691',
              u'9105',
              u'28425',
              u'20715',
              u'27936',
              u'15130',
              u'913',
              u'26205',
              u'11824',
              u'20783',
              u'23950',
              u'14153',
              u'28574',
              u'15709',
              u'27308',
              u'8790',
              u'27368',
              u'21731',
              u'5033',
              u'10064',
              u'28666',
              u'22031',
              u'4181',
              u'4932',
              u'5885',
              u'16076',
              u'6370',
              u'27262',
              u'16461',
              u'8008',
              u'23720',
              u'3821',
              u'4783',
              u'2340',
              u'16982',
              u'12046',
              u'17425',
              u'6835',
              u'27402',
              u'24508',
              u'11495',
              u'7619',
              u'28701',
              u'23912',
              u'728',
              u'26690',
              u'12810',
              u'25842',
              u'11234',
              u'28272',
              u'15035',
              u'12226',
              u'10833',
              u'15148',
              u'4800',
              u'27427',
              u'25535',
              u'7227',
              u'1583',
              u'9243',
              u'15154',
              u'28541',
              u'1044',
              u'15144',
              u'8437',
              u'11139',
              u'16622',
              u'23379',
              u'28031',
              u'11874',
              u'23338',
              u'11775',
              u'18637',
              u'18514',
              u'29403',
              u'3398',
              u'2811',
              u'19864',
              u'20005',
              u'14493',
              u'23375',
              u'21601',
              u'27738',
              u'12539',
              u'22132',
              u'25566',
              u'13688',
              u'14235',
              u'4730',
              u'2499',
              u'8501',
              u'28965',
              u'10118',
              u'15646',
              u'22746',
              u'1855',
              u'2473',
              u'11830',
              u'17893',
              u'5402',
              u'5613',
              u'8365',
              u'317',
              u'7546',
              u'16619',
              u'25946',
              u'2180',
              u'1591',
              u'25378',
              u'8214',
              u'23244',
              u'9634',
              u'371',
              u'23972'],
             68: [u'11289',
              u'26484',
              u'18277',
              u'1880',
              u'12486',
              u'8234',
              u'7161',
              u'15757',
              u'5999',
              u'16582',
              u'12949',
              u'5588',
              u'11243',
              u'27696',
              u'20795',
              u'26913',
              u'12915',
              u'4820',
              u'19638',
              u'24581',
              u'25219',
              u'16693',
              u'21468',
              u'19169',
              u'4123',
              u'9172',
              u'20310',
              u'24986',
              u'22802',
              u'27055',
              u'8701',
              u'11298',
              u'25645',
              u'2178',
              u'5944',
              u'20639',
              u'3547',
              u'21748',
              u'16353',
              u'6917',
              u'26088',
              u'28355',
              u'2071',
              u'9147',
              u'21598',
              u'16075',
              u'23990',
              u'16966',
              u'8696',
              u'1788',
              u'8958',
              u'19575',
              u'25792',
              u'18115',
              u'5657',
              u'19637',
              u'1481',
              u'8855',
              u'16516',
              u'13204',
              u'5152',
              u'13246',
              u'9520',
              u'25595',
              u'26608',
              u'26686',
              u'29604',
              u'13882',
              u'18602',
              u'8916',
              u'9095',
              u'14629',
              u'15438',
              u'24726',
              u'16998',
              u'26260',
              u'23220',
              u'9308',
              u'17829',
              u'3588',
              u'22620',
              u'10543',
              u'19649',
              u'25558',
              u'2618',
              u'24338',
              u'25155',
              u'26443',
              u'19818',
              u'10237',
              u'20080',
              u'12999',
              u'20976',
              u'28736',
              u'25025',
              u'10420',
              u'9179',
              u'10998',
              u'19460',
              u'22546',
              u'17385',
              u'16775',
              u'28585',
              u'21031',
              u'3004',
              u'21273',
              u'13551',
              u'5984',
              u'121',
              u'20360',
              u'15120',
              u'14231',
              u'16162',
              u'22019',
              u'11942',
              u'14352',
              u'27650',
              u'11391',
              u'18179',
              u'18914',
              u'25546',
              u'6300',
              u'300',
              u'11635',
              u'1253',
              u'19540',
              u'19440',
              u'19075',
              u'4478',
              u'10011',
              u'20562',
              u'27051',
              u'22178',
              u'2512',
              u'18210',
              u'24870',
              u'25437',
              u'18366',
              u'548',
              u'19095',
              u'5887',
              u'21761',
              u'13503',
              u'23061',
              u'279',
              u'5196',
              u'9315',
              u'16940',
              u'5005',
              u'16380',
              u'47',
              u'26224',
              u'26418',
              u'14635',
              u'11539',
              u'1714',
              u'23522',
              u'25000',
              u'28186',
              u'7917',
              u'25114',
              u'16101',
              u'1571',
              u'19524',
              u'19609',
              u'19081',
              u'10602',
              u'14949',
              u'13910',
              u'22619',
              u'20339',
              u'23043',
              u'7473',
              u'1084',
              u'10361',
              u'11357',
              u'24066',
              u'18101',
              u'15308',
              u'5423',
              u'20927',
              u'28773',
              u'22641',
              u'12273',
              u'4348',
              u'13554',
              u'9352',
              u'5673',
              u'6786'],
             69: [u'22371',
              u'21621',
              u'28258',
              u'13986',
              u'20117',
              u'1965',
              u'9711',
              u'27892',
              u'3406',
              u'20437',
              u'17100',
              u'18651',
              u'13947',
              u'3968',
              u'28480',
              u'3100',
              u'18112',
              u'27270',
              u'9749',
              u'7299',
              u'11778',
              u'18795',
              u'11590',
              u'4094',
              u'18367',
              u'15138',
              u'29420',
              u'28491',
              u'9534',
              u'29071',
              u'12288',
              u'4811',
              u'14826',
              u'16655',
              u'1437',
              u'23205',
              u'11538',
              u'28663',
              u'690',
              u'15085',
              u'4155',
              u'10595',
              u'5553',
              u'26960',
              u'11386',
              u'15461',
              u'8995',
              u'27970',
              u'3231',
              u'25557',
              u'4419',
              u'15861',
              u'14880',
              u'20526',
              u'26487',
              u'5990',
              u'10663',
              u'28578',
              u'7242',
              u'4004',
              u'22099',
              u'16784',
              u'19819',
              u'22200',
              u'28345',
              u'12802',
              u'24425',
              u'21286',
              u'24383',
              u'2077',
              u'28008',
              u'13657',
              u'15407',
              u'29421',
              u'23516',
              u'2723',
              u'1890',
              u'12964',
              u'12489',
              u'27067',
              u'3221',
              u'21749',
              u'17874',
              u'28637',
              u'23294',
              u'18240',
              u'14229',
              u'6071',
              u'18045',
              u'80',
              u'18680',
              u'4251',
              u'4172',
              u'5155',
              u'5189',
              u'11604',
              u'15025',
              u'18344',
              u'22121',
              u'18413',
              u'3901',
              u'5448',
              u'21795',
              u'23118',
              u'27164',
              u'15925',
              u'246',
              u'2576',
              u'1529',
              u'21627',
              u'16053',
              u'2447',
              u'29291',
              u'25077',
              u'4585',
              u'17397',
              u'4718',
              u'14264',
              u'12055',
              u'27937',
              u'10065',
              u'6159',
              u'237',
              u'10498',
              u'20141',
              u'8650',
              u'22376',
              u'24653',
              u'1321',
              u'13899',
              u'9174',
              u'8173',
              u'4899',
              u'21612',
              u'19932',
              u'5907',
              u'26653',
              u'14036',
              u'8305',
              u'746',
              u'29549',
              u'22182',
              u'16319',
              u'18425',
              u'22391',
              u'22599',
              u'351',
              u'8241',
              u'20864',
              u'22968',
              u'9013',
              u'2128',
              u'21378',
              u'21783',
              u'7962',
              u'9376',
              u'10307',
              u'8945',
              u'13683',
              u'22543',
              u'24153',
              u'24079',
              u'27059',
              u'22794',
              u'8904',
              u'24627',
              u'21111',
              u'5388',
              u'8482',
              u'2952',
              u'1814',
              u'22566',
              u'22928',
              u'17922',
              u'8071',
              u'9162',
              u'22247',
              u'23675',
              u'29119',
              u'29329',
              u'27780',
              u'16684',
              u'17627',
              u'29146',
              u'4766',
              u'16988',
              u'14294',
              u'604',
              u'16332',
              u'21280',
              u'3033',
              u'27431',
              u'637',
              u'9750',
              u'1593',
              u'1621',
              u'20231',
              u'26102',
              u'9741',
              u'13022',
              u'23279',
              u'27835',
              u'5934',
              u'11668',
              u'2872',
              u'18829',
              u'12262',
              u'21781',
              u'11717',
              u'6944',
              u'11593',
              u'2483',
              u'4950',
              u'7250',
              u'14067',
              u'7027',
              u'6317',
              u'22052',
              u'5309',
              u'5131',
              u'20209',
              u'26298',
              u'7832',
              u'510',
              u'26861',
              u'29513',
              u'9278',
              u'24070',
              u'9801',
              u'7096',
              u'29285',
              u'23157',
              u'2415',
              u'1956',
              u'19312',
              u'2418',
              u'7310',
              u'14987',
              u'29253',
              u'28816',
              u'8609',
              u'16597',
              u'28734',
              u'1796',
              u'3684',
              u'7484',
              u'18698',
              u'24879',
              u'2451',
              u'2475',
              u'909',
              u'29158',
              u'14728',
              u'22654',
              u'16915',
              u'17346',
              u'4608',
              u'20337',
              u'2126',
              u'15562',
              u'8492',
              u'26999',
              u'17994',
              u'9902',
              u'4249',
              u'11858',
              u'9886',
              u'3023',
              u'16758',
              u'5262',
              u'17595',
              u'9250',
              u'28230',
              u'28567',
              u'15450',
              u'24347',
              u'6913',
              u'28286'],
             70: [u'9992',
              u'17288',
              u'6639',
              u'15089',
              u'16721',
              u'14399',
              u'17625',
              u'29547',
              u'6652',
              u'20505',
              u'15621',
              u'18474',
              u'16005',
              u'3970',
              u'3581',
              u'25919',
              u'2189',
              u'23867',
              u'13032',
              u'4335',
              u'12224',
              u'601',
              u'28762',
              u'15549',
              u'28379',
              u'29261',
              u'22071',
              u'28201',
              u'11751',
              u'9827',
              u'23360',
              u'28083',
              u'4298',
              u'16822',
              u'24149',
              u'14205',
              u'12583',
              u'29148',
              u'12641',
              u'8655',
              u'27130',
              u'5915',
              u'7008',
              u'16394',
              u'22828',
              u'6867',
              u'987',
              u'15841',
              u'23258',
              u'1409',
              u'8111',
              u'5947',
              u'26077',
              u'9424',
              u'4043',
              u'26609',
              u'17910',
              u'16531',
              u'13893',
              u'8123',
              u'15547',
              u'11032',
              u'21354',
              u'12197',
              u'23010',
              u'23758',
              u'19108',
              u'22848',
              u'15071',
              u'3552',
              u'28375',
              u'11695',
              u'26647',
              u'10314',
              u'9760',
              u'13654',
              u'25460',
              u'13319',
              u'25725',
              u'10894',
              u'17827',
              u'5285',
              u'12460',
              u'4565',
              u'10280',
              u'25265',
              u'20148',
              u'18416',
              u'6425',
              u'16001',
              u'13983',
              u'28977',
              u'22192',
              u'19304',
              u'6891',
              u'23873',
              u'16664',
              u'22474',
              u'28131',
              u'4888',
              u'21907',
              u'18066',
              u'10686',
              u'7906',
              u'16482',
              u'13445',
              u'42',
              u'10421',
              u'18264',
              u'14604',
              u'3262',
              u'4695',
              u'28033',
              u'6816',
              u'4827',
              u'29492',
              u'7306',
              u'5889',
              u'9446',
              u'28997',
              u'7162',
              u'14194',
              u'17596',
              u'24155',
              u'10730',
              u'18982',
              u'2803',
              u'26522',
              u'3364',
              u'28530',
              u'12943',
              u'23387',
              u'27047',
              u'13603',
              u'22785',
              u'22782',
              u'9525',
              u'859',
              u'23601',
              u'18616',
              u'14999',
              u'19332',
              u'27927',
              u'4319',
              u'8835',
              u'871',
              u'15318',
              u'18193',
              u'22346',
              u'19584',
              u'2769',
              u'5591',
              u'7600',
              u'22388',
              u'15366',
              u'23503',
              u'1792',
              u'5829',
              u'15684',
              u'24241',
              u'3450',
              u'18187',
              u'7910',
              u'28208',
              u'26272',
              u'16078',
              u'5883',
              u'2297',
              u'26776',
              u'3131',
              u'9488',
              u'19285',
              u'21765',
              u'8253',
              u'28591',
              u'28867',
              u'18910',
              u'15440',
              u'20386',
              u'11477',
              u'14677',
              u'26715',
              u'17756',
              u'2651',
              u'27301',
              u'1191',
              u'26027',
              u'22325',
              u'12509',
              u'17610',
              u'4765',
              u'21669',
              u'29587',
              u'3788',
              u'11378',
              u'24724',
              u'18527',
              u'4101',
              u'27083',
              u'15857',
              u'27774',
              u'13375',
              u'4291',
              u'22295',
              u'10627',
              u'19813',
              u'19565',
              u'3798',
              u'23276',
              u'7117',
              u'27191',
              u'24087',
              u'1183',
              u'27394',
              u'20597',
              u'5399',
              u'13729',
              u'28142',
              u'25419',
              u'7130',
              u'18328',
              u'25493',
              u'7567',
              u'11396',
              u'21644',
              u'28026',
              u'18283',
              u'26949',
              u'22163',
              u'13155',
              u'6121',
              u'20211',
              u'8313',
              u'24471',
              u'15878',
              u'9079',
              u'12936',
              u'21032',
              u'4284',
              u'16356',
              u'1295',
              u'27608',
              u'8209',
              u'22511',
              u'3645',
              u'8204',
              u'3273',
              u'15586',
              u'3914',
              u'19032',
              u'24883',
              u'24470',
              u'2095',
              u'544',
              u'25577',
              u'18361',
              u'10796',
              u'14382',
              u'16297',
              u'1229',
              u'19274',
              u'27957',
              u'16368',
              u'25749',
              u'6424',
              u'5791',
              u'7000',
              u'758',
              u'21374',
              u'7522',
              u'16880',
              u'12644',
              u'20042',
              u'26176',
              u'6382',
              u'4583',
              u'19987',
              u'11760',
              u'19578',
              u'3444',
              u'14007',
              u'14313',
              u'7020',
              u'13328',
              u'26467',
              u'26471',
              u'27941',
              u'20459',
              u'9005',
              u'15436',
              u'17872',
              u'367',
              u'11700',
              u'16757',
              u'16631',
              u'28691',
              u'7842',
              u'13450',
              u'23031',
              u'1608',
              u'305',
              u'2392',
              u'7871',
              u'15754',
              u'13340',
              u'15298',
              u'20515',
              u'18507',
              u'2368',
              u'25970',
              u'7850',
              u'1661',
              u'20277',
              u'24099',
              u'24418',
              u'22798',
              u'464',
              u'15225',
              u'9129',
              u'26558',
              u'12768',
              u'26667',
              u'7060',
              u'10104',
              u'12148',
              u'21901',
              u'18439',
              u'27145',
              u'22698',
              u'23025',
              u'9720',
              u'18243',
              u'3483',
              u'26540',
              u'23586',
              u'17396',
              u'9031',
              u'5072',
              u'20642',
              u'12439',
              u'12976',
              u'26496',
              u'13723',
              u'27759',
              u'6232',
              u'17475',
              u'15360',
              u'1537',
              u'22271',
              u'25433',
              u'10957',
              u'29053',
              u'12813',
              u'5071',
              u'14022',
              u'14508',
              u'14546',
              u'18033',
              u'28429',
              u'11674',
              u'6594',
              u'15969',
              u'22102',
              u'24159',
              u'20591',
              u'6076',
              u'21233',
              u'2493',
              u'22402',
              u'12665',
              u'1525',
              u'27883',
              u'25028',
              u'19950',
              u'1648',
              u'3409',
              u'6657',
              u'4915',
              u'3876',
              u'15495',
              u'27935',
              u'1588',
              u'4530',
              u'21391',
              u'29226',
              u'14559',
              u'25106',
              u'14628',
              u'5471',
              u'18856',
              u'13917',
              u'3495',
              u'20918',
              u'20729',
              u'5493',
              u'10460',
              u'21336',
              u'18718',
              u'27949',
              u'25232',
              u'3381',
              u'6015',
              u'19393',
              u'11555',
              u'19263',
              u'3346',
              u'4673',
              u'15485',
              u'13088',
              u'20743',
              u'18773',
              u'14',
              u'155',
              u'15424',
              u'28920',
              u'8240',
              u'14753',
              u'23805',
              u'24150',
              u'1335',
              u'10453',
              u'19090',
              u'8094',
              u'19002',
              u'9372',
              u'673',
              u'15700',
              u'17813',
              u'8378',
              u'10617',
              u'17406',
              u'7768',
              u'25358',
              u'24763',
              u'4104',
              u'6380',
              u'24065',
              u'14834',
              u'13243',
              u'8018',
              u'21049',
              u'19956',
              u'26843',
              u'28277',
              u'461',
              u'8127',
              u'27818',
              u'9980',
              u'25943',
              u'6818',
              u'9662',
              u'3250',
              u'14750',
              u'11568',
              u'26929',
              u'14641',
              u'28366',
              u'29137',
              u'17776',
              u'12588',
              u'260',
              u'20605',
              u'3067',
              u'18579',
              u'25239',
              u'6270',
              u'22868',
              u'14173',
              u'3071',
              u'22122',
              u'8050',
              u'24461',
              u'23390',
              u'4021',
              u'22406',
              u'8272',
              u'14286',
              u'26270',
              u'20272',
              u'19814',
              u'22004',
              u'4943',
              u'29380',
              u'13050',
              u'15903',
              u'15647',
              u'58',
              u'7665',
              u'26265',
              u'20873',
              u'27485',
              u'4983',
              u'16890',
              u'17658',
              u'18345',
              u'20858',
              u'9842',
              u'21821',
              u'5702',
              u'13628',
              u'5047',
              u'17366',
              u'15160',
              u'19358',
              u'4725',
              u'16742',
              u'7145',
              u'29201',
              u'20280',
              u'17828',
              u'4731',
              u'6308',
              u'18470',
              u'15973',
              u'9137',
              u'20145',
              u'28622',
              u'29378',
              u'18607',
              u'15113',
              u'16645',
              u'21566',
              u'6585',
              u'10972',
              u'14244',
              u'7013',
              u'22567',
              u'11994',
              u'12591',
              u'16708',
              u'26970',
              u'10039',
              u'5454',
              u'18853',
              u'28897',
              u'15730',
              u'3383',
              u'20137',
              u'7765',
              u'7315',
              u'24458',
              u'9059',
              u'1630'],
             71: [u'1291',
              u'10536',
              u'20819',
              u'19062',
              u'13483',
              u'17487',
              u'195',
              u'2710',
              u'7047',
              u'15519',
              u'6186',
              u'3744',
              u'3451',
              u'4009',
              u'27127',
              u'7552',
              u'18553',
              u'16165',
              u'10556',
              u'16801',
              u'27081',
              u'9602',
              u'27823',
              u'26837',
              u'29010',
              u'25619',
              u'6837',
              u'10284',
              u'3080',
              u'251',
              u'3527',
              u'12551',
              u'14568',
              u'8659',
              u'11012',
              u'27025',
              u'12757',
              u'8507',
              u'17529',
              u'811',
              u'1915',
              u'25671',
              u'21537',
              u'383',
              u'6801',
              u'5170',
              u'3736',
              u'12225',
              u'7034',
              u'7094',
              u'8367',
              u'12801',
              u'20610',
              u'16852',
              u'11173',
              u'3617',
              u'1617',
              u'26721',
              u'12338',
              u'24663',
              u'8195',
              u'1475',
              u'21981',
              u'4868',
              u'22744',
              u'2764',
              u'20152',
              u'23716',
              u'26067',
              u'22700',
              u'794',
              u'5001',
              u'26127',
              u'25169',
              u'20255',
              u'24711',
              u'17280',
              u'5828',
              u'9216',
              u'9522',
              u'2806',
              u'23905',
              u'10127',
              u'17190',
              u'17860',
              u'9368',
              u'14026',
              u'14761',
              u'339',
              u'3095',
              u'20590',
              u'22793',
              u'12966',
              u'10103',
              u'26881',
              u'13295',
              u'27423',
              u'28800',
              u'18750',
              u'16990',
              u'13765',
              u'26281',
              u'26887',
              u'20458',
              u'7557',
              u'17195',
              u'5019',
              u'15330',
              u'11262',
              u'9461',
              u'2048',
              u'25334',
              u'21785',
              u'22759',
              u'29252',
              u'7218',
              u'3672',
              u'4782',
              u'2748',
              u'22962',
              u'13017',
              u'27441',
              u'5748',
              u'3010',
              u'6820',
              u'9437',
              u'29193',
              u'2626',
              u'4121',
              u'28274',
              u'1891',
              u'7271',
              u'24982',
              u'23305',
              u'359',
              u'24963',
              u'12117',
              u'6356',
              u'980',
              u'26420',
              u'19399',
              u'2073',
              u'21635',
              u'17249',
              u'2522',
              u'15712',
              u'8929',
              u'23081',
              u'24975',
              u'2375',
              u'11761',
              u'14995',
              u'21939',
              u'4175',
              u'18755',
              u'21289',
              u'2664',
              u'18126',
              u'28672',
              u'28295',
              u'7949',
              u'19114',
              u'150',
              u'19489',
              u'2046',
              u'20019',
              u'9989',
              u'945',
              u'5700',
              u'28592',
              u'6120',
              u'27216',
              u'13666',
              u'24394',
              u'19003',
              u'11828',
              u'28864',
              u'753',
              u'28929',
              u'12221',
              u'9419',
              u'8725',
              u'4644',
              u'9080',
              u'15793',
              u'10987',
              u'7340',
              u'13702',
              u'12361',
              u'16142',
              u'1278',
              u'16501',
              u'20101',
              u'27837',
              u'20814',
              u'6586',
              u'21179',
              u'21266',
              u'17797',
              u'10432',
              u'23393',
              u'10487',
              u'23185',
              u'20589',
              u'1636',
              u'20529',
              u'24285',
              u'16254',
              u'8069',
              u'25489',
              u'28693',
              u'7466',
              u'7533',
              u'1096',
              u'24893',
              u'15893',
              u'8061',
              u'6295',
              u'1252',
              u'29596',
              u'9565',
              u'26821',
              u'11161',
              u'10411',
              u'671',
              u'8702',
              u'22839',
              u'16697',
              u'8915',
              u'22242',
              u'10161',
              u'25327',
              u'2607',
              u'14037',
              u'27391',
              u'20843',
              u'12620',
              u'18331',
              u'27314',
              u'6533',
              u'25263',
              u'13374',
              u'5930',
              u'26618',
              u'1893',
              u'8438',
              u'17163',
              u'18415',
              u'24125',
              u'14309',
              u'3524',
              u'7080',
              u'18603',
              u'18540',
              u'10811',
              u'20661',
              u'6856',
              u'13644',
              u'28405',
              u'23485',
              u'22240',
              u'866',
              u'21793',
              u'21611',
              u'20992',
              u'22157',
              u'22863',
              u'19392',
              u'25815',
              u'2739',
              u'26740',
              u'3858',
              u'24904',
              u'14156',
              u'1286',
              u'24937',
              u'26266',
              u'13794',
              u'25843',
              u'15852',
              u'10801',
              u'22569',
              u'27483',
              u'6562',
              u'15670',
              u'10566',
              u'1110',
              u'5157',
              u'6485',
              u'23761',
              u'27549',
              u'11630',
              u'6614',
              u'24286',
              u'8222',
              u'1622',
              u'11199',
              u'15464',
              u'4936',
              u'4537',
              u'3404',
              u'26057',
              u'14498',
              u'10666',
              u'7424'],
             72: [u'4580',
              u'682',
              u'8440',
              u'18001',
              u'1212',
              u'16814',
              u'16644',
              u'11196',
              u'21751',
              u'22669',
              u'2578',
              u'4146',
              u'26698',
              u'5701',
              u'16946',
              u'10674',
              u'27134',
              u'14847',
              u'16227',
              u'25410',
              u'14686',
              u'28632',
              u'5782',
              u'8711',
              u'29101',
              u'9973',
              u'2157',
              u'2444',
              u'1140',
              u'17162',
              u'10647',
              u'6188',
              u'26838',
              u'18065',
              u'25285',
              u'19769',
              u'6426',
              u'6022',
              u'28694',
              u'18206',
              u'24936',
              u'9959',
              u'10326',
              u'23640',
              u'15871',
              u'18194',
              u'22321',
              u'5128',
              u'10339',
              u'17148',
              u'21527',
              u'18672',
              u'15403',
              u'16786',
              u'5683',
              u'2445',
              u'16954',
              u'3956',
              u'25687',
              u'23978',
              u'751',
              u'11920',
              u'8707',
              u'18525',
              u'17479',
              u'24056',
              u'23071',
              u'7054',
              u'24467',
              u'6540',
              u'9952',
              u'16234',
              u'20735',
              u'5411',
              u'17946',
              u'14848',
              u'6542',
              u'16607',
              u'4103',
              u'27389',
              u'6637',
              u'3854',
              u'14417',
              u'5191',
              u'13735',
              u'10040',
              u'1994',
              u'13817',
              u'6488',
              u'28411',
              u'24947',
              u'20907',
              u'3783',
              u'29503',
              u'28757',
              u'7203',
              u'15278',
              u'6724',
              u'5462',
              u'21550',
              u'14575',
              u'14335',
              u'1495',
              u'2896',
              u'27019',
              u'21443',
              u'17924',
              u'2171',
              u'20030',
              u'17507',
              u'747',
              u'4198',
              u'5413',
              u'11000',
              u'18064',
              u'25305',
              u'14618',
              u'9094',
              u'19502',
              u'3050',
              u'18279',
              u'24174',
              u'1197',
              u'19554',
              u'15019',
              u'8388',
              u'29192',
              u'4047',
              u'6219',
              u'16436',
              u'8076',
              u'8795',
              u'3806',
              u'21992',
              u'28466',
              u'29393',
              u'18547',
              u'4764',
              u'11163',
              u'8751',
              u'24887',
              u'18909',
              u'25805',
              u'6016',
              u'28100',
              u'25376',
              u'18',
              u'28810',
              u'20994',
              u'5840',
              u'29347',
              u'3575',
              u'20838',
              u'8537',
              u'26803',
              u'13800',
              u'3423',
              u'29413',
              u'7312',
              u'10802',
              u'962',
              u'21404',
              u'518',
              u'52',
              u'20784',
              u'12294',
              u'28042',
              u'18868',
              u'28432',
              u'24080',
              u'21228',
              u'8296',
              u'23423',
              u'2591',
              u'28839',
              u'9203',
              u'29259',
              u'2828',
              u'20235',
              u'17989',
              u'5998',
              u'10407',
              u'29434',
              u'19842',
              u'12187',
              u'17722',
              u'18262',
              u'7354',
              u'18233',
              u'5967',
              u'16964',
              u'13057',
              u'28397',
              u'23137',
              u'17644',
              u'16072',
              u'15337',
              u'7330',
              u'3369',
              u'3358',
              u'5805',
              u'28060',
              u'16249',
              u'27839',
              u'18954',
              u'11024',
              u'10923',
              u'9035',
              u'15937',
              u'10343',
              u'14890',
              u'9408',
              u'14316',
              u'10214',
              u'9612',
              u'11484',
              u'28677',
              u'2510',
              u'23921',
              u'18450',
              u'9759',
              u'19663',
              u'29142',
              u'4111',
              u'22854',
              u'2688',
              u'9953',
              u'20107',
              u'6162',
              u'12740',
              u'28768',
              u'9937',
              u'25050',
              u'13178',
              u'26464',
              u'23838',
              u'19691',
              u'21270',
              u'2793',
              u'1425',
              u'26621',
              u'16634',
              u'15195',
              u'29117',
              u'8478',
              u'20083',
              u'25625',
              u'21414',
              u'5690',
              u'3510',
              u'11127',
              u'16906',
              u'7710',
              u'6338',
              u'26630',
              u'2608',
              u'12285',
              u'24093',
              u'6634',
              u'11583',
              u'14329',
              u'8638',
              u'2766',
              u'9492',
              u'26736',
              u'18694',
              u'11694',
              u'24034',
              u'8029',
              u'10454',
              u'21811',
              u'14919',
              u'1535',
              u'13499',
              u'24868',
              u'7932',
              u'13524',
              u'6458',
              u'28619',
              u'6921',
              u'16213',
              u'20',
              u'15761',
              u'21845',
              u'25380',
              u'27869',
              u'25470',
              u'22276',
              u'15222',
              u'6834',
              u'11979',
              u'27479',
              u'9728',
              u'29121',
              u'21572',
              u'4529',
              u'25923',
              u'25945',
              u'20552',
              u'963',
              u'7112',
              u'26801',
              u'282',
              u'1536',
              u'11113',
              u'28953',
              u'6667',
              u'22190',
              u'19361',
              u'2778',
              u'7322',
              u'23835',
              u'6082',
              u'8145',
              u'25986',
              u'26080',
              u'26675',
              u'6303',
              u'12296',
              u'22514',
              u'10795',
              u'1492',
              u'1162',
              u'11312',
              u'12570',
              u'23285',
              u'7646',
              u'19445',
              u'8921',
              u'17602',
              u'10428',
              u'27592',
              u'14883',
              u'13856',
              u'28771',
              u'12360',
              u'27576',
              u'19780',
              u'3520',
              u'25126',
              u'25428',
              u'22081',
              u'11084',
              u'10058',
              u'22964',
              u'13926',
              u'6054',
              u'4971',
              u'18719',
              u'10992',
              u'26863'],
             73: [u'21717',
              u'16888',
              u'2940',
              u'8698',
              u'26663',
              u'27150',
              u'15940',
              u'5881',
              u'11304',
              u'4843',
              u'3691',
              u'20663',
              u'25731',
              u'20658',
              u'23807',
              u'28673',
              u'887',
              u'9997',
              u'5036',
              u'2589',
              u'16925',
              u'3878',
              u'27486',
              u'5721',
              u'3887',
              u'21588',
              u'12149',
              u'11651',
              u'708',
              u'17840',
              u'27552',
              u'27929',
              u'14089',
              u'24931',
              u'9085',
              u'24906',
              u'25603',
              u'5435',
              u'25178',
              u'22627',
              u'16156',
              u'8220',
              u'15564',
              u'26680',
              u'7873',
              u'23016',
              u'21323',
              u'17207',
              u'26946',
              u'8297',
              u'22522',
              u'23509',
              u'5788',
              u'2730',
              u'14434',
              u'23224',
              u'9242',
              u'23441',
              u'11099',
              u'26746',
              u'26772',
              u'14170',
              u'1716',
              u'22742',
              u'23695',
              u'5696',
              u'3957',
              u'1602',
              u'11331',
              u'4220',
              u'21653',
              u'15881',
              u'26516',
              u'17455',
              u'2920',
              u'13002',
              u'27388',
              u'24163',
              u'12349',
              u'20968',
              u'8148',
              u'14259',
              u'26412',
              u'15074',
              u'3343',
              u'1005',
              u'20432',
              u'24667',
              u'10892',
              u'20135',
              u'5049',
              u'28577',
              u'16231',
              u'4796',
              u'3671',
              u'3844',
              u'8197',
              u'22108',
              u'13000',
              u'28596',
              u'14056',
              u'14996',
              u'24777',
              u'27660',
              u'7134',
              u'26477',
              u'14536',
              u'17694',
              u'25181',
              u'23843',
              u'27271',
              u'28471',
              u'24226',
              u'13087',
              u'7695',
              u'26362',
              u'1935',
              u'9299',
              u'28716',
              u'3943',
              u'25042',
              u'5852',
              u'2594',
              u'12834',
              u'11835',
              u'17799',
              u'9121',
              u'7487',
              u'4708',
              u'21725',
              u'14473',
              u'9663',
              u'12298',
              u'8807',
              u'23477',
              u'18985',
              u'16386',
              u'24033',
              u'25013',
              u'11250',
              u'11253',
              u'18647',
              u'20051',
              u'418',
              u'20082',
              u'665',
              u'6869',
              u'11474',
              u'21283',
              u'16828',
              u'15042',
              u'17624',
              u'23243',
              u'26835',
              u'698',
              u'25979',
              u'2970',
              u'3974',
              u'17578',
              u'1334',
              u'13724',
              u'22226',
              u'13804',
              u'23583',
              u'535',
              u'12636',
              u'10873',
              u'27074',
              u'737',
              u'9293',
              u'1701',
              u'25755',
              u'2469',
              u'11748',
              u'17770',
              u'7283',
              u'21775',
              u'17752',
              u'17636',
              u'6247',
              u'16706',
              u'1626',
              u'3989',
              u'10282',
              u'25059',
              u'26593',
              u'28325',
              u'21480',
              u'21015',
              u'16333',
              u'1502',
              u'91',
              u'2600',
              u'25189',
              u'447',
              u'16154',
              u'3896',
              u'9280',
              u'27741',
              u'14470',
              u'7371',
              u'22231',
              u'4785',
              u'4268',
              u'22254',
              u'6706',
              u'22768',
              u'21094',
              u'9409',
              u'7295',
              u'7374',
              u'17524',
              u'23536',
              u'28477',
              u'21025',
              u'19187',
              u'11804',
              u'10878',
              u'28399',
              u'7477',
              u'22675',
              u'10723',
              u'6018',
              u'18491',
              u'5249',
              u'6812',
              u'25972',
              u'23832',
              u'24785',
              u'2114',
              u'10903',
              u'14742',
              u'11703',
              u'1323',
              u'28806',
              u'17506',
              u'15923',
              u'25601',
              u'23200',
              u'8058',
              u'24209',
              u'15334',
              u'1274',
              u'28944',
              u'21413',
              u'17745',
              u'1952',
              u'12974',
              u'23674',
              u'9841',
              u'2103',
              u'10946',
              u'3593',
              u'29263',
              u'3771',
              u'4641',
              u'9990',
              u'28511',
              u'3641',
              u'29582',
              u'25988',
              u'18581',
              u'4591',
              u'4231',
              u'11435',
              u'8332',
              u'1449',
              u'16512',
              u'14849',
              u'15145',
              u'4078',
              u'23434',
              u'20414',
              u'2098',
              u'4976',
              u'1589',
              u'16296',
              u'17110',
              u'18683',
              u'10129',
              u'2979',
              u'8342',
              u'19991',
              u'22384',
              u'23891',
              u'27745',
              u'26489',
              u'1698',
              u'13307',
              u'3147',
              u'17062',
              u'9125',
              u'10149',
              u'2790',
              u'22139'],
             74: [u'12646',
              u'17909',
              u'5293',
              u'8279',
              u'15056',
              u'21838',
              u'28193',
              u'1767',
              u'18182',
              u'13916',
              u'326',
              u'262',
              u'19982',
              u'9153',
              u'26764',
              u'20395',
              u'9223',
              u'24919',
              u'13157',
              u'12423',
              u'16092',
              u'28444',
              u'21858',
              u'5559',
              u'1156',
              u'28268',
              u'21997',
              u'15980',
              u'16327',
              u'13339',
              u'28539',
              u'29365',
              u'17283',
              u'24499',
              u'15644',
              u'5459',
              u'2760',
              u'10205',
              u'9557',
              u'20518',
              u'20417',
              u'15875',
              u'3312',
              u'20160',
              u'12532',
              u'28846',
              u'18597',
              u'15558',
              u'14676',
              u'21760',
              u'12254',
              u'4994',
              u'10741',
              u'17523',
              u'15964',
              u'28784',
              u'24848',
              u'4051',
              u'29030',
              u'19984',
              u'25730',
              u'17357',
              u'8489',
              u'19243',
              u'1672',
              u'21248',
              u'20897',
              u'21906',
              u'24998',
              u'10683',
              u'21513',
              u'2771',
              u'374',
              u'12062',
              u'2500',
              u'25462',
              u'11004',
              u'4876',
              u'6508',
              u'2948',
              u'10153',
              u'840',
              u'25354',
              u'13946',
              u'3402',
              u'29472',
              u'27597',
              u'14328',
              u'10700',
              u'24215',
              u'25522',
              u'28256',
              u'10209',
              u'28137',
              u'6956',
              u'8007',
              u'25417',
              u'27841',
              u'19137',
              u'22012',
              u'6274',
              u'1505',
              u'19695',
              u'21665',
              u'27433',
              u'22333',
              u'24176',
              u'16522',
              u'13311',
              u'13167',
              u'14719',
              u'12685',
              u'7188',
              u'2706',
              u'25321',
              u'4453',
              u'29514',
              u'29418',
              u'8357',
              u'16037',
              u'1784',
              u'897',
              u'16009',
              u'4206',
              u'21352',
              u'11095',
              u'3851',
              u'19899',
              u'13277',
              u'12013',
              u'5543',
              u'45',
              u'21944',
              u'24184',
              u'23688',
              u'20249',
              u'3182',
              u'24272',
              u'20870',
              u'16250',
              u'10495',
              u'15821',
              u'19567',
              u'20509',
              u'12863',
              u'19478',
              u'2038',
              u'11439',
              u'1725',
              u'12520',
              u'7077',
              u'2858',
              u'7375',
              u'15874',
              u'23667',
              u'4011',
              u'11227',
              u'11926',
              u'12775',
              u'27406',
              u'692',
              u'6020',
              u'16410',
              u'28882',
              u'10783',
              u'13396',
              u'8364',
              u'19247',
              u'10933',
              u'18352',
              u'13354',
              u'17540',
              u'3042',
              u'12172',
              u'7843',
              u'6701',
              u'6171',
              u'16000',
              u'24761',
              u'23238',
              u'8643',
              u'5743',
              u'21506',
              u'4452',
              u'12988',
              u'3981',
              u'14240',
              u'8682',
              u'3928',
              u'5417',
              u'11701',
              u'26638',
              u'1221',
              u'20947',
              u'21577',
              u'27870',
              u'24846',
              u'7787',
              u'10532',
              u'21733',
              u'1614',
              u'23687',
              u'16236',
              u'2547',
              u'17223',
              u'13929',
              u'19968',
              u'15090',
              u'12189',
              u'25186',
              u'23787',
              u'3894',
              u'1863',
              u'16862',
              u'2151',
              u'7039',
              u'17988',
              u'26245',
              u'17046',
              u'5228',
              u'26858',
              u'26449',
              u'10452',
              u'22424',
              u'29609',
              u'4760',
              u'20268',
              u'12297',
              u'7989',
              u'18084',
              u'3845',
              u'5642',
              u'22629',
              u'20070',
              u'10221',
              u'11917',
              u'12413',
              u'13179',
              u'5313',
              u'4368',
              u'20940',
              u'20993',
              u'26424',
              u'18335',
              u'630',
              u'13854',
              u'19245',
              u'19238',
              u'893',
              u'19525',
              u'9053',
              u'1472',
              u'18107',
              u'1351',
              u'3431',
              u'1184',
              u'22568',
              u'17948',
              u'24522',
              u'6122',
              u'9133',
              u'19207',
              u'26518',
              u'25298',
              u'715',
              u'14268',
              u'1772',
              u'4228',
              u'17537',
              u'3759',
              u'20006',
              u'28116',
              u'24955',
              u'6722',
              u'23208',
              u'10692',
              u'8906',
              u'3365',
              u'18608',
              u'26559',
              u'25312',
              u'19131',
              u'28880',
              u'23578',
              u'5649',
              u'22524',
              u'22715',
              u'27136',
              u'18472',
              u'20901',
              u'638',
              u'3533',
              u'4159',
              u'19542',
              u'15823',
              u'18385',
              u'24509',
              u'15965',
              u'6721',
              u'19974',
              u'1728',
              u'15924',
              u'16947',
              u'26982',
              u'6582',
              u'12663',
              u'11465',
              u'20571',
              u'290',
              u'17263',
              u'17415',
              u'22169',
              u'14797',
              u'2275',
              u'2746',
              u'16209',
              u'5534',
              u'14186',
              u'26544',
              u'17325',
              u'15831',
              u'24221',
              u'19698',
              u'4095',
              u'2481',
              u'24867',
              u'8360',
              u'15284',
              u'8264',
              u'17426',
              u'4309',
              u'12488',
              u'26346',
              u'18172',
              u'5661',
              u'6178',
              u'16900',
              u'25643',
              u'26355',
              u'575',
              u'29140',
              u'7270',
              u'5400',
              u'11269',
              u'24078',
              u'18310',
              u'3735',
              u'2862',
              u'3861',
              u'8387',
              u'24781',
              u'23556',
              u'20964',
              u'19994',
              u'10550',
              u'11327',
              u'29589',
              u'28639',
              u'2506',
              u'15136',
              u'29485',
              u'15410',
              u'5335',
              u'21634',
              u'13520',
              u'23834',
              u'28458',
              u'10900',
              u'28893',
              u'6846',
              u'13843'],
             75: [u'3676',
              u'17710',
              u'26152',
              u'8219',
              u'27492',
              u'22725',
              u'13478',
              u'29391',
              u'26309',
              u'18926',
              u'27873',
              u'18400',
              u'14079',
              u'18332',
              u'28293',
              u'29118',
              u'919',
              u'14486',
              u'21955',
              u'28979',
              u'16305',
              u'6535',
              u'19186',
              u'19923',
              u'6000',
              u'13198',
              u'29511',
              u'3950',
              u'14198',
              u'26089',
              u'7115',
              u'14250',
              u'4724',
              u'21690',
              u'3214',
              u'26533',
              u'24924',
              u'9622',
              u'8783',
              u'14798',
              u'11817',
              u'27190',
              u'4143',
              u'9748',
              u'2634',
              u'26274',
              u'8459',
              u'3688',
              u'9794',
              u'10771',
              u'15603',
              u'18782',
              u'1658',
              u'20099',
              u'10010',
              u'7381',
              u'21643',
              u'7061',
              u'9071',
              u'434',
              u'28380',
              u'14055',
              u'6838',
              u'17943',
              u'27310',
              u'17286',
              u'20677',
              u'15012',
              u'20672',
              u'7933',
              u'25701',
              u'10419',
              u'21501',
              u'382',
              u'20357',
              u'331',
              u'4909',
              u'17273',
              u'16304',
              u'22882',
              u'6341',
              u'2161',
              u'9431',
              u'26963',
              u'29331',
              u'2169',
              u'19308',
              u'15722',
              u'22878',
              u'24664',
              u'2049',
              u'1364',
              u'25220',
              u'26633',
              u'17069',
              u'11601',
              u'16291',
              u'13165',
              u'26058',
              u'25821',
              u'15863',
              u'6960',
              u'2125',
              u'12675',
              u'23998',
              u'2268',
              u'13099',
              u'24073',
              u'1842',
              u'10551',
              u'9186',
              u'2689',
              u'17493',
              u'7762',
              u'12478',
              u'26756',
              u'12635',
              u'355',
              u'6276',
              u'19222',
              u'2577',
              u'10393',
              u'20967',
              u'3062',
              u'2824',
              u'13306',
              u'22414',
              u'28863',
              u'3143',
              u'25172',
              u'3288',
              u'23853',
              u'1211',
              u'22363',
              u'6048',
              u'28370',
              u'11540',
              u'17726',
              u'29152',
              u'21339',
              u'13245',
              u'10867',
              u'12022',
              u'14480',
              u'610',
              u'12261',
              u'904',
              u'12983',
              u'19082',
              u'6664',
              u'7576',
              u'14425',
              u'29576',
              u'6901',
              u'12314',
              u'11585',
              u'29306',
              u'17650',
              u'5379',
              u'24687',
              u'29376',
              u'7929',
              u'19523',
              u'2214',
              u'26108',
              u'20210',
              u'14216',
              u'26253',
              u'12578',
              u'25877',
              u'795',
              u'6668',
              u'26845',
              u'25274',
              u'12805'],
             76: [u'26036',
              u'3675',
              u'28937',
              u'9298',
              u'28398',
              u'198',
              u'7101',
              u'8761',
              u'1158',
              u'4325',
              u'11204',
              u'412',
              u'4302',
              u'11254',
              u'3984',
              u'6517',
              u'16922',
              u'3753',
              u'20374',
              u'7062',
              u'13695',
              u'28600',
              u'11618',
              u'223',
              u'3411',
              u'28615',
              u'8447',
              u'6129',
              u'12816',
              u'11945',
              u'12755',
              u'26714',
              u'10137',
              u'17536',
              u'7514',
              u'16029',
              u'6196',
              u'22850',
              u'2696',
              u'17433',
              u'4646',
              u'24115',
              u'4221',
              u'8476',
              u'8578',
              u'16738',
              u'7163',
              u'27478',
              u'128',
              u'15220',
              u'12680',
              u'8087',
              u'16935',
              u'21626',
              u'20073',
              u'28610',
              u'22693',
              u'10609',
              u'28754',
              u'1065',
              u'24481',
              u'11702',
              u'11727',
              u'21212',
              u'26469',
              u'2787',
              u'25974',
              u'6974',
              u'14873',
              u'19275',
              u'8944',
              u'19266',
              u'29585',
              u'327',
              u'27084',
              u'24352',
              u'27155',
              u'11809',
              u'27012',
              u'10845',
              u'22626',
              u'18761',
              u'7844',
              u'14444',
              u'4153',
              u'15104',
              u'17428',
              u'12048',
              u'20428',
              u'27393',
              u'24103',
              u'24886',
              u'9118',
              u'4114',
              u'7243',
              u'4038',
              u'1719',
              u'9165',
              u'15370',
              u'19763',
              u'10226',
              u'578',
              u'7179',
              u'26802',
              u'5142',
              u'12600',
              u'27713',
              u'27224',
              u'23576',
              u'18830',
              u'15241',
              u'22015',
              u'12276',
              u'13177',
              u'9773',
              u'16773',
              u'1747',
              u'915',
              u'22638',
              u'19989',
              u'20620',
              u'2321',
              u'19931',
              u'18030',
              u'4659',
              u'17704',
              u'17738',
              u'4286',
              u'9011',
              u'21691',
              u'16652',
              u'18994',
              u'22288',
              u'12073',
              u'8676',
              u'11924',
              u'23421',
              u'25537',
              u'20689',
              u'24847',
              u'11446',
              u'14708',
              u'19341',
              u'23113',
              u'21209',
              u'23300',
              u'18880',
              u'13985',
              u'6315',
              u'23991',
              u'23277',
              u'6438',
              u'12571',
              u'12979',
              u'10755',
              u'25466',
              u'11023',
              u'14970',
              u'19',
              u'26895',
              u'26278',
              u'17111',
              u'21777',
              u'26785',
              u'17124',
              u'17550',
              u'7642',
              u'11861',
              u'16108',
              u'23784',
              u'10456',
              u'12875',
              u'414',
              u'25329',
              u'2588',
              u'17301',
              u'5916',
              u'15251',
              u'29180',
              u'1010',
              u'9859',
              u'26267',
              u'20133',
              u'21855',
              u'24536',
              u'16978',
              u'27969',
              u'5305',
              u'11180',
              u'8424',
              u'22657',
              u'11612',
              u'16961',
              u'15249',
              u'28745',
              u'20024',
              u'5318',
              u'6947',
              u'6281',
              u'16177',
              u'6152',
              u'17634',
              u'12691',
              u'5127',
              u'25296',
              u'27255',
              u'26547',
              u'23021',
              u'3963',
              u'4544',
              u'28200',
              u'3948',
              u'26780',
              u'12147',
              u'24935',
              u'24961',
              u'15325',
              u'18883',
              u'18891',
              u'16943',
              u'19616',
              u'15629',
              u'1860',
              u'10222',
              u'9066',
              u'16207',
              u'27425',
              u'10942',
              u'6512',
              u'2797',
              u'24818',
              u'8376',
              u'4552',
              u'7952',
              u'24192',
              u'13787',
              u'26053',
              u'4025',
              u'18054',
              u'22762',
              u'19946',
              u'5830',
              u'28036',
              u'3017',
              u'20139',
              u'6355',
              u'18920',
              u'22229',
              u'11214',
              u'4019',
              u'16844',
              u'23183',
              u'10095',
              u'2013',
              u'16233',
              u'26263',
              u'12494',
              u'24008',
              u'27021',
              u'25679',
              u'15236',
              u'22232',
              u'1568',
              u'23403',
              u'6411',
              u'11005',
              u'14406',
              u'6986',
              u'21066',
              u'21113',
              u'10141',
              u'19697',
              u'19141',
              u'21263',
              u'11998',
              u'9339',
              u'21517',
              u'21737',
              u'20404',
              u'15762',
              u'13424',
              u'16183',
              u'2823',
              u'3829',
              u'16017',
              u'28919',
              u'24472',
              u'18871',
              u'6595',
              u'14775',
              u'20202',
              u'7264',
              u'9928',
              u'17921',
              u'21319',
              u'8170',
              u'19501',
              u'16566',
              u'27766',
              u'14211',
              u'6378',
              u'13964',
              u'4955',
              u'16024',
              u'1397',
              u'7817',
              u'26074',
              u'20944',
              u'3826',
              u'24668',
              u'29431',
              u'3399',
              u'3597',
              u'773',
              u'11857',
              u'4411',
              u'8064',
              u'14540',
              u'21539',
              u'3389',
              u'12368',
              u'2333',
              u'2299',
              u'13924',
              u'2677',
              u'2138',
              u'12916',
              u'4145',
              u'4321',
              u'24232',
              u'22518',
              u'25020',
              u'19315',
              u'14959',
              u'4024',
              u'6500',
              u'6757',
              u'28109',
              u'24978',
              u'25511',
              u'20393',
              u'17443',
              u'28891',
              u'28627',
              u'7064',
              u'29401',
              u'16939',
              u'28246',
              u'27117',
              u'28352',
              u'25514',
              u'11534',
              u'14038',
              u'14405',
              u'3318',
              u'24502',
              u'29161',
              u'17067',
              u'20764',
              u'4664',
              u'20824',
              u'6967',
              u'17185',
              u'25837',
              u'5518',
              u'16777',
              u'3234',
              u'4128',
              u'15472',
              u'28332'],
             77: [u'28224',
              u'8312',
              u'27065',
              u'26660',
              u'24673',
              u'6925',
              u'16206',
              u'24891',
              u'15741',
              u'18877',
              u'28296',
              u'13254',
              u'1369',
              u'23700',
              u'29335',
              u'16021',
              u'8867',
              u'14333',
              u'28841',
              u'11801',
              u'10606',
              u'21216',
              u'1820',
              u'18166',
              u'19195',
              u'6078',
              u'14903',
              u'2007',
              u'15329',
              u'17895',
              u'26184',
              u'19851',
              u'4859',
              u'9307',
              u'17169',
              u'20554',
              u'10238',
              u'25303',
              u'21154',
              u'21868',
              u'29222',
              u'12638',
              u'15774',
              u'19018',
              u'28794',
              u'4055',
              u'1578',
              u'18134',
              u'2331',
              u'7461',
              u'25865',
              u'1001',
              u'12542',
              u'6610',
              u'17652',
              u'4230',
              u'21833',
              u'17664',
              u'24414',
              u'12921',
              u'9812',
              u'7532',
              u'325',
              u'24612',
              u'96',
              u'27925',
              u'24623',
              u'19140',
              u'20654',
              u'17808',
              u'4147',
              u'8169',
              u'14424',
              u'14269',
              u'24988',
              u'5637',
              u'27097',
              u'22435',
              u'20504',
              u'29308',
              u'17654',
              u'23034',
              u'27063',
              u'20182',
              u'4612',
              u'1161',
              u'22223',
              u'25953',
              u'8339',
              u'27553',
              u'25530',
              u'17356',
              u'25123',
              u'9171',
              u'16785',
              u'8191',
              u'18518',
              u'17305',
              u'1138',
              u'3049',
              u'1605',
              u'4008',
              u'2115',
              u'17657',
              u'25326',
              u'1164',
              u'3266',
              u'13693',
              u'24914',
              u'9340',
              u'23940',
              u'1778',
              u'29493',
              u'8284',
              u'19265',
              u'18007',
              u'8446',
              u'25949',
              u'20935',
              u'7852',
              u'5466',
              u'15161',
              u'25200',
              u'8863',
              u'29377',
              u'4134',
              u'17824',
              u'20292',
              u'22449',
              u'21392',
              u'17329',
              u'18212',
              u'6572',
              u'1406',
              u'4491',
              u'27345',
              u'5273',
              u'8392',
              u'12431',
              u'21677',
              u'2643',
              u'15349',
              u'369',
              u'12720',
              u'17769',
              u'7582',
              u'13394',
              u'15529',
              u'28463',
              u'20633',
              u'12177',
              u'23723',
              u'24734',
              u'15611',
              u'18532',
              u'12208',
              u'225',
              u'28254',
              u'24969',
              u'23121',
              u'19105',
              u'13826',
              u'13615',
              u'9295',
              u'8619',
              u'26339',
              u'19881',
              u'29150',
              u'4995',
              u'1477',
              u'26223',
              u'20333',
              u'27734',
              u'4716',
              u'26207',
              u'25037',
              u'6296',
              u'26600',
              u'309',
              u'5013',
              u'27178',
              u'11252',
              u'24660',
              u'8181',
              u'20234',
              u'18484',
              u'9381',
              u'115',
              u'20896',
              u'14741',
              u'29125',
              u'28715',
              u'5629',
              u'3220',
              u'3186',
              u'6233',
              u'14230',
              u'16201',
              u'9946',
              u'21595',
              u'23475',
              u'24441',
              u'25659',
              u'23798',
              u'28115',
              u'17327',
              u'6760',
              u'26107',
              u'1910',
              u'22604',
              u'20842',
              u'16592',
              u'14697',
              u'5804',
              u'29051',
              u'2987',
              u'8842',
              u'11291',
              u'1141',
              u'11659',
              u'14914',
              u'24100',
              u'29455',
              u'24177',
              u'14331',
              u'21412',
              u'16255',
              u'137',
              u'21200',
              u'5761',
              u'18465',
              u'13453',
              u'23245',
              u'26534',
              u'19272',
              u'11054',
              u'299',
              u'1299',
              u'20028',
              u'22461',
              u'6933'],
             78: [u'14157',
              u'3685',
              u'17321',
              u'21881',
              u'15168',
              u'10342',
              u'16717',
              u'19429',
              u'16379',
              u'29163',
              u'11903',
              u'20007',
              u'1066',
              u'25975',
              u'14935',
              u'24282',
              u'23757',
              u'15578',
              u'22482',
              u'9840',
              u'14095',
              u'14474',
              u'19892',
              u'8065',
              u'26401',
              u'22003',
              u'5997',
              u'8335',
              u'15340',
              u'892',
              u'16930',
              u'2080',
              u'4133',
              u'24048',
              u'6291',
              u'29236',
              u'20408',
              u'10105',
              u'29298',
              u'3058',
              u'12014',
              u'23625',
              u'8821',
              u'25441',
              u'460',
              u'10279',
              u'4812',
              u'15333',
              u'10475',
              u'25447',
              u'21558',
              u'5144',
              u'22925',
              u'17958',
              u'4242',
              u'879',
              u'25104',
              u'26113',
              u'2404',
              u'27560',
              u'23527',
              u'12082',
              u'18432',
              u'19833',
              u'4493',
              u'25350',
              u'27544',
              u'17076',
              u'145',
              u'22951',
              u'988',
              u'8845',
              u'3183',
              u'17056',
              u'3667',
              u'11714',
              u'14745',
              u'44',
              u'1287',
              u'8114',
              u'27757',
              u'14104',
              u'26941',
              u'2779',
              u'18984',
              u'13958',
              u'24648',
              u'25634',
              u'11963',
              u'7056',
              u'8859',
              u'2655',
              u'19933',
              u'17480',
              u'27645',
              u'18889',
              u'720',
              u'24123',
              u'23162',
              u'21810',
              u'28906',
              u'12320',
              u'15001',
              u'28707',
              u'13449',
              u'8873',
              u'1336',
              u'28570',
              u'9025',
              u'14317',
              u'9403',
              u'4006',
              u'13905',
              u'7343',
              u'28312',
              u'22024',
              u'13592',
              u'23116',
              u'2709',
              u'23922',
              u'8408',
              u'25184',
              u'26063',
              u'17510',
              u'24310',
              u'22493',
              u'16914',
              u'10298',
              u'21511',
              u'12348',
              u'25031',
              u'24991',
              u'7971',
              u'99',
              u'15911',
              u'19438',
              u'7124',
              u'4059',
              u'1193',
              u'4647',
              u'4847',
              u'22860',
              u'25176',
              u'23367',
              u'17955',
              u'16398',
              u'29515',
              u'2017',
              u'17369',
              u'27613',
              u'23884',
              u'25033',
              u'26093',
              u'12245',
              u'25411',
              u'9294',
              u'4547',
              u'25300',
              u'21971',
              u'25852',
              u'5073',
              u'13510',
              u'25347',
              u'26111',
              u'8586',
              u'28235',
              u'21739',
              u'7984',
              u'10526',
              u'8540',
              u'12337',
              u'22203',
              u'17146',
              u'2799',
              u'22553',
              u'24845',
              u'15517',
              u'1838',
              u'14983',
              u'3292',
              u'7082',
              u'9580',
              u'6663',
              u'22623',
              u'2203',
              u'15021',
              u'21062',
              u'7169',
              u'18872',
              u'9549',
              u'14441',
              u'16497',
              u'3128',
              u'28153',
              u'6106',
              u'666',
              u'17936',
              u'3138',
              u'4260',
              u'2597',
              u'22668',
              u'3461',
              u'14563',
              u'15181',
              u'6779',
              u'22179',
              u'19895',
              u'11275',
              u'25674',
              u'13576',
              u'18394',
              u'26456',
              u'22350',
              u'29216',
              u'812',
              u'27395',
              u'25963',
              u'15221',
              u'22858',
              u'18329',
              u'22307',
              u'29045',
              u'564',
              u'1117',
              u'25762',
              u'23381',
              u'14355',
              u'13638',
              u'7847',
              u'12776',
              u'12112',
              u'3562',
              u'21514',
              u'27192',
              u'2958',
              u'9604',
              u'17830',
              u'12952',
              u'82',
              u'19402',
              u'12587',
              u'13771',
              u'27435',
              u'3839',
              u'16257',
              u'17368',
              u'22173',
              u'5842',
              u'10206',
              u'969',
              u'7234',
              u'29098',
              u'26135',
              u'22819',
              u'10639',
              u'1019',
              u'13685',
              u'14295',
              u'13046',
              u'18035',
              u'11664',
              u'5266',
              u'13091',
              u'1284',
              u'7738',
              u'24708',
              u'1039',
              u'21120',
              u'12419',
              u'8433',
              u'16707',
              u'5527',
              u'26520',
              u'436',
              u'25833',
              u'20975',
              u'21920',
              u'9009',
              u'4469',
              u'24796',
              u'6132',
              u'2284',
              u'1865',
              u'22387',
              u'20538',
              u'17896',
              u'17160',
              u'28092',
              u'19766',
              u'8336',
              u'20158',
              u'9139',
              u'6259',
              u'25107',
              u'13538',
              u'11715',
              u'27305',
              u'11143',
              u'6941',
              u'23530',
              u'2031',
              u'27863',
              u'5676',
              u'17592',
              u'5455',
              u'22023',
              u'11278',
              u'15228',
              u'3355',
              u'4685',
              u'227',
              u'17912',
              u'26857',
              u'18762',
              u'6419',
              u'20574'],
             79: [u'2365',
              u'10025',
              u'29154',
              u'25079',
              u'27459',
              u'24301',
              u'28007',
              u'26570',
              u'27487',
              u'21607',
              u'1199',
              u'6176',
              u'19656',
              u'23487',
              u'15755',
              u'14287',
              u'2833',
              u'9187',
              u'8933',
              u'7799',
              u'24151',
              u'4886',
              u'25438',
              u'6472',
              u'9480',
              u'4130',
              u'23115',
              u'1374',
              u'11200',
              u'9696',
              u'25096',
              u'4151',
              u'23958',
              u'18488',
              u'26052',
              u'3812',
              u'21213',
              u'28334',
              u'22165',
              u'16613',
              u'1024',
              u'23979',
              u'9503',
              u'2590',
              u'19715',
              u'22308',
              u'18561',
              u'8269',
              u'6017',
              u'11203',
              u'8928',
              u'27790',
              u'4431',
              u'3955',
              u'18586',
              u'10901',
              u'2062',
              u'27698',
              u'236',
              u'19834',
              u'20065',
              u'5106',
              u'7709',
              u'3997',
              u'12565',
              u'17253',
              u'2883',
              u'4540',
              u'15339',
              u'6686',
              u'26864',
              u'3382',
              u'1471',
              u'16638',
              u'7573',
              u'24970',
              u'23849',
              u'27623',
              u'1293',
              u'21306',
              u'13829',
              u'10549',
              u'27336',
              u'27263',
              u'24932',
              u'2834',
              u'19373',
              u'16763',
              u'3621',
              u'14861',
              u'14769',
              u'15886',
              u'17678',
              u'9226',
              u'15150',
              u'967',
              u'20925',
              u'22838',
              u'25517',
              u'21512',
              u'6989',
              u'24560',
              u'4655',
              u'18772',
              u'24828',
              u'16779',
              u'18124',
              u'25061',
              u'29577',
              u'3209',
              u'11507',
              u'20327',
              u'20489',
              u'29369',
              u'23770',
              u'12849',
              u'22274',
              u'6666',
              u'12228',
              u'4840',
              u'12962',
              u'7915',
              u'9699',
              u'13081',
              u'16513',
              u'23515',
              u'888',
              u'10954',
              u'23407',
              u'11065',
              u'1989',
              u'16153',
              u'13923',
              u'7041',
              u'5370',
              u'4132',
              u'761',
              u'26921',
              u'3559',
              u'4866',
              u'4000',
              u'12153',
              u'16562',
              u'29561',
              u'24250',
              u'11631',
              u'12234',
              u'25369',
              u'10758',
              u'9022',
              u'22114',
              u'13474',
              u'13511',
              u'9329',
              u'29074',
              u'25021',
              u'5494',
              u'7213',
              u'8461',
              u'28640',
              u'10756',
              u'26050',
              u'25032'],
             80: [u'17842',
              u'25457',
              u'14699',
              u'4376',
              u'6084',
              u'25149',
              u'11723',
              u'15069',
              u'20207',
              u'12278',
              u'28667',
              u'9833',
              u'20233',
              u'22636',
              u'10589',
              u'3954',
              u'940',
              u'15453',
              u'1074',
              u'19083',
              u'18046',
              u'6489',
              u'11537',
              u'4978',
              u'26688',
              u'1308',
              u'883',
              u'5943',
              u'20129',
              u'10285',
              u'29358',
              u'20954',
              u'7419',
              u'1177',
              u'3295',
              u'8238',
              u'13668',
              u'1542',
              u'12992',
              u'1198',
              u'2325',
              u'2864',
              u'24071',
              u'24830',
              u'1112',
              u'5275',
              u'14643',
              u'23951',
              u'6907',
              u'5328',
              u'28066',
              u'22890',
              u'24766',
              u'21431',
              u'19192',
              u'12407',
              u'23087',
              u'11938',
              u'11940',
              u'5212',
              u'19327',
              u'2438',
              u'27611',
              u'12374',
              u'18554',
              u'5066',
              u'22674',
              u'7183',
              u'15933',
              u'10768',
              u'19556',
              u'10499',
              u'8671',
              u'25496',
              u'25395',
              u'22291',
              u'9845',
              u'8060',
              u'3703',
              u'1938',
              u'2014',
              u'24315',
              u'14030',
              u'29266',
              u'29275',
              u'11810',
              u'23572',
              u'15658',
              u'23123',
              u'12222',
              u'10915',
              u'21876',
              u'14435',
              u'13757',
              u'3006',
              u'28969',
              u'23686',
              u'7393',
              u'15604',
              u'8',
              u'2442',
              u'2439',
              u'14043',
              u'12070',
              u'14346',
              u'22418',
              u'92',
              u'12598',
              u'7119',
              u'10661',
              u'19094',
              u'21291',
              u'6491',
              u'11876',
              u'23952',
              u'17869',
              u'5137',
              u'8852',
              u'26313',
              u'1892',
              u'22490',
              u'5556',
              u'17492',
              u'2005',
              u'22236',
              u'20009',
              u'15372',
              u'25661',
              u'19350',
              u'25307',
              u'15470',
              u'14120',
              u'1421',
              u'24020',
              u'12240',
              u'1280',
              u'3015',
              u'26026',
              u'23395',
              u'3248',
              u'19821',
              u'8315',
              u'23145',
              u'26199',
              u'17375',
              u'21119',
              u'11460',
              u'13836',
              u'8949',
              u'22131',
              u'17447',
              u'16793',
              u'27940',
              u'26043',
              u'21814',
              u'5614',
              u'29315',
              u'20079',
              u'459',
              u'1458',
              u'28581',
              u'12693',
              u'27861',
              u'28823',
              u'1844',
              u'8912',
              u'29445',
              u'4757',
              u'13366',
              u'16344',
              u'16850',
              u'2829',
              u'1531',
              u'27616',
              u'22255',
              u'6412',
              u'13026',
              u'2541',
              u'6865',
              u'26745',
              u'3993',
              u'15303',
              u'3018',
              u'15123',
              u'3109',
              u'15253',
              u'11531',
              u'20405',
              u'6839',
              u'25039',
              u'13640',
              u'3244',
              u'4541',
              u'14992',
              u'21592',
              u'28514',
              u'18015',
              u'20926',
              u'8487',
              u'7925',
              u'22899',
              u'18231',
              u'13490',
              u'14052',
              u'5396',
              u'22605',
              u'27166',
              u'16023',
              u'26028',
              u'26250',
              u'8101'],
             81: [u'27901',
              u'29534',
              u'10989',
              u'3604',
              u'8950',
              u'3432',
              u'18047',
              u'28884',
              u'28656',
              u'6996',
              u'16719',
              u'19742',
              u'18435',
              u'24186',
              u'19069',
              u'26923',
              u'2888',
              u'27911',
              u'19996',
              u'12858',
              u'29383',
              u'12955',
              u'706',
              u'17204',
              u'28587',
              u'29567',
              u'4465',
              u'16971',
              u'7698',
              u'18377',
              u'22385',
              u'20204',
              u'17045',
              u'24546',
              u'24055',
              u'11997',
              u'24933',
              u'1069',
              u'184',
              u'11006',
              u'28460',
              u'24245',
              u'21313',
              u'27429',
              u'12490',
              u'4536',
              u'13404',
              u'5485',
              u'14836',
              u'16136',
              u'6175',
              u'9265',
              u'22349',
              u'17790',
              u'14342',
              u'28488',
              u'19365',
              u'12671',
              u'28265',
              u'16995',
              u'15959',
              u'5982',
              u'4824',
              u'25246',
              u'25901',
              u'23053',
              u'11571',
              u'3627',
              u'27631',
              u'2662',
              u'24298',
              u'358',
              u'10514',
              u'21923',
              u'700',
              u'22927',
              u'6157',
              u'6185',
              u'4318',
              u'8256',
              u'29000',
              u'11240',
              u'28710',
              u'10319',
              u'17005',
              u'27415',
              u'13158',
              u'10301',
              u'24317',
              u'13906',
              u'5860',
              u'5684',
              u'16695',
              u'1349',
              u'6105',
              u'6271',
              u'3905',
              u'19768',
              u'26039',
              u'24023',
              u'3661',
              u'11126',
              u'26578',
              u'9393',
              u'23059',
              u'25402',
              u'6394',
              u'9916',
              u'2134',
              u'21073',
              u'17754',
              u'25252',
              u'19303',
              u'11159',
              u'28261',
              u'20809',
              u'11777',
              u'13842',
              u'2367',
              u'21383',
              u'24410',
              u'15938',
              u'1047',
              u'6493',
              u'19613',
              u'26016',
              u'25036',
              u'28714',
              u'26717',
              u'19666',
              u'11166',
              u'16632',
              u'8988',
              u'6755',
              u'24333',
              u'2232',
              u'11843',
              u'8117',
              u'28133',
              u'22174',
              u'23019',
              u'28138',
              u'20675',
              u'15326',
              u'7804',
              u'10233',
              u'9658',
              u'12577',
              u'19468',
              u'18915',
              u'12138',
              u'28733',
              u'16214',
              u'26521',
              u'28271',
              u'28890',
              u'6098',
              u'26526',
              u'17736',
              u'8413',
              u'22315',
              u'23189',
              u'8545',
              u'18289'],
             82: [u'12846',
              u'14045',
              u'14048',
              u'4617',
              u'16756',
              u'786',
              u'25328',
              u'19620',
              u'10800',
              u'27561',
              u'4471',
              u'29081',
              u'14390',
              u'4003',
              u'20749',
              u'1557',
              u'3215',
              u'12715',
              u'19092',
              u'23513',
              u'26333',
              u'23855',
              u'6179',
              u'6774',
              u'3268',
              u'14063',
              u'18402',
              u'4778',
              u'12371',
              u'20716',
              u'24270',
              u'18405',
              u'22687',
              u'17360',
              u'7776',
              u'11638',
              u'21686',
              u'27125',
              u'15335',
              u'7015',
              u'27787',
              u'20448',
              u'14556',
              u'2957',
              u'5452',
              u'5697',
              u'13278',
              u'9821',
              u'24535',
              u'23429',
              u'24142',
              u'15552',
              u'15446',
              u'14165',
              u'18098',
              u'14824',
              u'10601',
              u'18446',
              u'15211',
              u'14246',
              u'18438',
              u'23324',
              u'20725',
              u'17376',
              u'16240',
              u'27347',
              u'19684',
              u'9084',
              u'15358',
              u'22931',
              u'26308',
              u'696',
              u'8410',
              u'26753',
              u'12510',
              u'787',
              u'854',
              u'14668',
              u'16969',
              u'23894',
              u'27768',
              u'15803',
              u'1375',
              u'27069',
              u'7861',
              u'6023',
              u'9665',
              u'25458',
              u'25612',
              u'5937',
              u'28602',
              u'25500',
              u'6409',
              u'12536',
              u'7154',
              u'14593',
              u'6496',
              u'17564',
              u'25668',
              u'16669',
              u'5972',
              u'26301',
              u'24923',
              u'4554',
              u'17478',
              u'9262',
              u'8713',
              u'24632',
              u'21738',
              u'21465',
              u'10305',
              u'2869',
              u'5961',
              u'3940',
              u'23626',
              u'1014',
              u'28889',
              u'28950',
              u'12097',
              u'24686',
              u'24519',
              u'2372',
              u'7505',
              u'23377',
              u'24189',
              u'15528',
              u'3272',
              u'28303',
              u'3909',
              u'27481',
              u'5811',
              u'4391',
              u'10024',
              u'8403',
              u'23306',
              u'18351',
              u'7338',
              u'335',
              u'12607',
              u'4502',
              u'9345',
              u'9056',
              u'14975',
              u'21151',
              u'17613',
              u'4098',
              u'11609',
              u'26733',
              u'12227',
              u'8450',
              u'7025',
              u'509',
              u'17640',
              u'11131',
              u'2942',
              u'3085',
              u'7352',
              u'27525',
              u'7818',
              u'18541',
              u'16303',
              u'5795',
              u'22303',
              u'24404',
              u'25491',
              u'19409',
              u'1092',
              u'23351',
              u'20999',
              u'9768',
              u'17399',
              u'12162',
              u'21640',
              u'13142'],
             83: [u'17820',
              u'8252',
              u'21368',
              u'10047',
              u'10325',
              u'5819',
              u'869',
              u'9552',
              u'29129',
              u'3118',
              u'14085',
              u'28910',
              u'25177',
              u'27118',
              u'5641',
              u'5056',
              u'26161',
              u'5390',
              u'1310',
              u'12657',
              u'1694',
              u'1072',
              u'8964',
              u'7634',
              u'8691',
              u'5268',
              u'5918',
              u'7358',
              u'29351',
              u'13591',
              u'6112',
              u'19752',
              u'17102',
              u'12306',
              u'19577',
              u'24018',
              u'15555',
              u'10032',
              u'26597',
              u'6510',
              u'17212',
              u'29552',
              u'1723',
              u'3304',
              u'15166',
              u'11486',
              u'20035',
              u'25639',
              u'9290',
              u'17850',
              u'3375',
              u'16452',
              u'14644',
              u'13602',
              u'8434',
              u'5240',
              u'12098',
              u'12024',
              u'4638',
              u'2258',
              u'3327',
              u'10914',
              u'18922',
              u'18918',
              u'18859',
              u'1995',
              u'6923',
              u'28479',
              u'29436',
              u'13279',
              u'20603',
              u'10820',
              u'27998',
              u'19322',
              u'4390',
              u'5920',
              u'20415',
              u'12105',
              u'703',
              u'21163',
              u'27681',
              u'2552',
              u'20334',
              u'6242',
              u'22466',
              u'27093',
              u'22214',
              u'17424',
              u'27854',
              u'28996',
              u'27023',
              u'4421',
              u'14923',
              u'25640',
              u'26378',
              u'655',
              u'9523',
              u'24920',
              u'6408',
              u'29482',
              u'26669',
              u'2292',
              u'21195',
              u'5939',
              u'8411',
              u'2637',
              u'1635',
              u'13182',
              u'5848',
              u'24319',
              u'15620',
              u'7164',
              u'23736',
              u'15294',
              u'6086',
              u'5332',
              u'12828',
              u'258',
              u'14550',
              u'28252',
              u'28926',
              u'14098',
              u'26243',
              u'6135',
              u'11068',
              u'25289',
              u'16093',
              u'625',
              u'16294',
              u'27205',
              u'29139',
              u'9116',
              u'18257',
              u'19793',
              u'24412',
              u'19777',
              u'2628',
              u'4660',
              u'2173',
              u'23670',
              u'7318',
              u'25787',
              u'19115',
              u'7389',
              u'989',
              u'19521',
              u'5302',
              u'6587',
              u'606',
              u'776',
              u'13492',
              u'21275',
              u'26480',
              u'7700',
              u'15488',
              u'29509',
              u'19990',
              u'19582',
              u'16545',
              u'10890',
              u'23598',
              u'8779',
              u'25846',
              u'24247',
              u'2694',
              u'15682',
              u'15983',
              u'10555',
              u'10151',
              u'1839',
              u'28613',
              u'7028',
              u'5827']})

In [4]:
def read_in_node_names():
    f = open('mutual_unweighted_node_names', 'r')
    node_names = defaultdict(int)
    for line in f:
        if line[0] == '#':
            continue
        node_id, node_name = line.split()
        node_names[int(node_id)] = int(node_name)
    return node_names

In [5]:
def read_in_top_communities(sizeN):
    ordered_communities = OrderedDict(sorted(read_SBM_output().items(), key=lambda t:len(t[1]), reverse=True))
    top_communities = OrderedDict(x for x in ordered_communities.items() if len(x[1])>sizeN)
    return top_communities

In [6]:
# returns a set of communities in which each node belongs to
def find_nodes_COMM():
    nodes_COMM = defaultdict(list)
    output = read_SBM_output()
    for comm in output.keys():
        for node in output[comm]:
            nodes_COMM[node].append(comm)
            
    for node in nodes_COMM:
            nodes_COMM[node] = list(set(nodes_COMM[node]))
    return nodes_COMM

In [7]:
# a helper function to show us info when print info is true
# otherwise returns only the list of community sizes
def num_and_sizes_SBM_COMM(print_info=False):
    num_COMM = 0
    COMM_sizes = []
    ALL_users = defaultdict(int)
    COMM = read_SBM_output()
    num_COMM = len(COMM.keys())
    for comm in COMM:
        COMM_sizes.append(len(COMM[comm]))
        for el in COMM[comm]:
            ALL_users[el] = 1
    if print_info:
        print 'SBM has output: %d COMM ' % (num_COMM)
        print 'Their sizes in increasing order:'
        print sorted(COMM_sizes)
        print 'Total number of users in COMM:'
        print len(ALL_users.keys())
        print 'Total size of COMM:'
        print sum(COMM_sizes)
    return COMM_sizes
    return COMM_sizes

In [8]:
num_and_sizes_SBM_COMM(print_info=True)


SBM has output: 84 COMM 
Their sizes in increasing order:
[63, 105, 125, 129, 140, 144, 147, 163, 164, 164, 173, 174, 174, 175, 178, 189, 189, 189, 195, 195, 197, 199, 201, 211, 215, 217, 217, 219, 225, 229, 232, 233, 234, 239, 240, 241, 243, 243, 247, 250, 263, 265, 270, 272, 278, 281, 282, 294, 295, 299, 305, 307, 311, 314, 316, 320, 345, 347, 347, 351, 353, 354, 364, 368, 370, 371, 384, 394, 400, 406, 414, 455, 455, 494, 499, 499, 528, 543, 636, 672, 737, 752, 1230, 1270]
Total number of users in COMM:
26717
Total size of COMM:
26717
Out[8]:
[189,
 129,
 311,
 354,
 499,
 240,
 233,
 299,
 494,
 229,
 528,
 737,
 414,
 144,
 63,
 215,
 281,
 164,
 1270,
 199,
 105,
 234,
 217,
 217,
 347,
 250,
 147,
 195,
 455,
 225,
 455,
 752,
 189,
 1230,
 270,
 307,
 265,
 368,
 353,
 219,
 243,
 174,
 232,
 364,
 345,
 499,
 140,
 294,
 272,
 384,
 239,
 197,
 263,
 314,
 125,
 406,
 243,
 201,
 394,
 320,
 282,
 178,
 347,
 247,
 400,
 636,
 672,
 195,
 189,
 278,
 543,
 305,
 351,
 295,
 371,
 175,
 370,
 241,
 316,
 163,
 211,
 164,
 174,
 173]

In [9]:
# returns the node membership for each node
# i.e., in how many communities it participates
def find_nodes_in_more_COMM(print_info=False):
    nodes_num_COMM = defaultdict(int)
    COMM = read_SBM_output()
    for comm in COMM:
        for node in COMM[comm]:
            nodes_num_COMM[int(node)] += 1
    all_nodes = read_in_node_names().values()
    cnt_singletons = 0
    
    for node in all_nodes:
        if node not in nodes_num_COMM:
            cnt_singletons += 1
    if print_info:
        print len(all_nodes), len(nodes_num_COMM.keys())
        print 'I found nodes out of communities ', cnt_singletons
    #nodes_num_COMM2 = {node: nodes_num_COMM[node] if nodes_num_COMM[node] < 10 else 10 for node in nodes_num_COMM}
    sorted_nodes_num_COMM = OrderedDict(sorted(nodes_num_COMM.items(), key=lambda t:t[1], reverse=True))
    global N_overlap_comm
    print sorted_nodes_num_COMM.items()[0][1]
    
    #print sorted_nodes_num_COMM
    return sorted_nodes_num_COMM


find_nodes_in_more_COMM(print_info=True)


26717 26717
I found nodes out of communities  0
1
Out[9]:
OrderedDict([(0, 1),
             (1, 1),
             (2, 1),
             (3, 1),
             (4, 1),
             (5, 1),
             (6, 1),
             (7, 1),
             (8, 1),
             (9, 1),
             (10, 1),
             (12, 1),
             (13, 1),
             (14, 1),
             (15, 1),
             (16, 1),
             (17, 1),
             (18, 1),
             (19, 1),
             (20, 1),
             (21, 1),
             (22, 1),
             (23, 1),
             (24, 1),
             (25, 1),
             (26, 1),
             (27, 1),
             (28, 1),
             (29, 1),
             (30, 1),
             (31, 1),
             (32, 1),
             (34, 1),
             (35, 1),
             (36, 1),
             (37, 1),
             (38, 1),
             (40, 1),
             (41, 1),
             (42, 1),
             (43, 1),
             (44, 1),
             (45, 1),
             (46, 1),
             (47, 1),
             (48, 1),
             (49, 1),
             (51, 1),
             (52, 1),
             (53, 1),
             (55, 1),
             (56, 1),
             (57, 1),
             (58, 1),
             (59, 1),
             (60, 1),
             (61, 1),
             (62, 1),
             (63, 1),
             (64, 1),
             (65, 1),
             (67, 1),
             (68, 1),
             (69, 1),
             (72, 1),
             (73, 1),
             (74, 1),
             (76, 1),
             (78, 1),
             (79, 1),
             (80, 1),
             (81, 1),
             (82, 1),
             (83, 1),
             (84, 1),
             (85, 1),
             (86, 1),
             (87, 1),
             (89, 1),
             (90, 1),
             (91, 1),
             (92, 1),
             (93, 1),
             (94, 1),
             (95, 1),
             (96, 1),
             (97, 1),
             (98, 1),
             (99, 1),
             (100, 1),
             (101, 1),
             (102, 1),
             (103, 1),
             (104, 1),
             (106, 1),
             (107, 1),
             (108, 1),
             (109, 1),
             (110, 1),
             (112, 1),
             (113, 1),
             (114, 1),
             (115, 1),
             (116, 1),
             (117, 1),
             (118, 1),
             (119, 1),
             (120, 1),
             (121, 1),
             (124, 1),
             (125, 1),
             (126, 1),
             (127, 1),
             (128, 1),
             (129, 1),
             (130, 1),
             (132, 1),
             (133, 1),
             (134, 1),
             (135, 1),
             (136, 1),
             (137, 1),
             (138, 1),
             (139, 1),
             (140, 1),
             (141, 1),
             (142, 1),
             (143, 1),
             (144, 1),
             (145, 1),
             (146, 1),
             (147, 1),
             (148, 1),
             (150, 1),
             (151, 1),
             (152, 1),
             (153, 1),
             (154, 1),
             (155, 1),
             (156, 1),
             (158, 1),
             (159, 1),
             (161, 1),
             (162, 1),
             (163, 1),
             (164, 1),
             (165, 1),
             (166, 1),
             (167, 1),
             (168, 1),
             (169, 1),
             (170, 1),
             (171, 1),
             (172, 1),
             (173, 1),
             (174, 1),
             (175, 1),
             (176, 1),
             (177, 1),
             (178, 1),
             (179, 1),
             (180, 1),
             (181, 1),
             (182, 1),
             (183, 1),
             (184, 1),
             (186, 1),
             (187, 1),
             (188, 1),
             (189, 1),
             (190, 1),
             (191, 1),
             (193, 1),
             (194, 1),
             (195, 1),
             (196, 1),
             (198, 1),
             (199, 1),
             (200, 1),
             (201, 1),
             (202, 1),
             (203, 1),
             (204, 1),
             (205, 1),
             (206, 1),
             (207, 1),
             (208, 1),
             (209, 1),
             (210, 1),
             (211, 1),
             (213, 1),
             (214, 1),
             (215, 1),
             (216, 1),
             (217, 1),
             (218, 1),
             (219, 1),
             (220, 1),
             (221, 1),
             (222, 1),
             (223, 1),
             (224, 1),
             (225, 1),
             (227, 1),
             (228, 1),
             (229, 1),
             (230, 1),
             (231, 1),
             (232, 1),
             (234, 1),
             (235, 1),
             (236, 1),
             (237, 1),
             (238, 1),
             (239, 1),
             (240, 1),
             (241, 1),
             (242, 1),
             (243, 1),
             (244, 1),
             (245, 1),
             (246, 1),
             (247, 1),
             (248, 1),
             (249, 1),
             (250, 1),
             (251, 1),
             (252, 1),
             (253, 1),
             (254, 1),
             (255, 1),
             (257, 1),
             (258, 1),
             (259, 1),
             (260, 1),
             (261, 1),
             (262, 1),
             (263, 1),
             (264, 1),
             (265, 1),
             (266, 1),
             (267, 1),
             (268, 1),
             (269, 1),
             (271, 1),
             (272, 1),
             (273, 1),
             (274, 1),
             (275, 1),
             (276, 1),
             (277, 1),
             (279, 1),
             (280, 1),
             (281, 1),
             (282, 1),
             (283, 1),
             (284, 1),
             (285, 1),
             (287, 1),
             (288, 1),
             (289, 1),
             (290, 1),
             (291, 1),
             (293, 1),
             (294, 1),
             (295, 1),
             (297, 1),
             (298, 1),
             (299, 1),
             (300, 1),
             (302, 1),
             (303, 1),
             (304, 1),
             (305, 1),
             (308, 1),
             (309, 1),
             (310, 1),
             (311, 1),
             (312, 1),
             (313, 1),
             (314, 1),
             (315, 1),
             (316, 1),
             (317, 1),
             (318, 1),
             (319, 1),
             (320, 1),
             (321, 1),
             (322, 1),
             (323, 1),
             (324, 1),
             (325, 1),
             (326, 1),
             (327, 1),
             (328, 1),
             (329, 1),
             (330, 1),
             (331, 1),
             (332, 1),
             (333, 1),
             (334, 1),
             (335, 1),
             (336, 1),
             (337, 1),
             (338, 1),
             (339, 1),
             (340, 1),
             (341, 1),
             (342, 1),
             (343, 1),
             (344, 1),
             (345, 1),
             (346, 1),
             (347, 1),
             (348, 1),
             (349, 1),
             (350, 1),
             (351, 1),
             (352, 1),
             (353, 1),
             (354, 1),
             (355, 1),
             (356, 1),
             (358, 1),
             (359, 1),
             (360, 1),
             (361, 1),
             (362, 1),
             (363, 1),
             (364, 1),
             (365, 1),
             (366, 1),
             (367, 1),
             (368, 1),
             (369, 1),
             (370, 1),
             (371, 1),
             (372, 1),
             (373, 1),
             (374, 1),
             (376, 1),
             (377, 1),
             (378, 1),
             (379, 1),
             (380, 1),
             (381, 1),
             (382, 1),
             (383, 1),
             (384, 1),
             (385, 1),
             (386, 1),
             (387, 1),
             (388, 1),
             (389, 1),
             (390, 1),
             (391, 1),
             (392, 1),
             (394, 1),
             (395, 1),
             (396, 1),
             (397, 1),
             (398, 1),
             (399, 1),
             (400, 1),
             (401, 1),
             (402, 1),
             (403, 1),
             (404, 1),
             (405, 1),
             (407, 1),
             (408, 1),
             (409, 1),
             (410, 1),
             (411, 1),
             (412, 1),
             (413, 1),
             (414, 1),
             (415, 1),
             (416, 1),
             (417, 1),
             (418, 1),
             (420, 1),
             (422, 1),
             (423, 1),
             (424, 1),
             (425, 1),
             (426, 1),
             (427, 1),
             (428, 1),
             (429, 1),
             (430, 1),
             (431, 1),
             (432, 1),
             (433, 1),
             (434, 1),
             (436, 1),
             (437, 1),
             (438, 1),
             (439, 1),
             (441, 1),
             (442, 1),
             (443, 1),
             (444, 1),
             (445, 1),
             (446, 1),
             (447, 1),
             (448, 1),
             (449, 1),
             (450, 1),
             (451, 1),
             (452, 1),
             (453, 1),
             (454, 1),
             (455, 1),
             (456, 1),
             (457, 1),
             (458, 1),
             (459, 1),
             (460, 1),
             (461, 1),
             (463, 1),
             (464, 1),
             (465, 1),
             (466, 1),
             (467, 1),
             (468, 1),
             (470, 1),
             (471, 1),
             (472, 1),
             (473, 1),
             (474, 1),
             (475, 1),
             (476, 1),
             (477, 1),
             (478, 1),
             (479, 1),
             (480, 1),
             (481, 1),
             (482, 1),
             (483, 1),
             (484, 1),
             (485, 1),
             (487, 1),
             (488, 1),
             (489, 1),
             (490, 1),
             (491, 1),
             (492, 1),
             (493, 1),
             (494, 1),
             (495, 1),
             (496, 1),
             (497, 1),
             (499, 1),
             (501, 1),
             (502, 1),
             (503, 1),
             (504, 1),
             (505, 1),
             (506, 1),
             (507, 1),
             (508, 1),
             (509, 1),
             (510, 1),
             (511, 1),
             (512, 1),
             (513, 1),
             (515, 1),
             (516, 1),
             (517, 1),
             (518, 1),
             (519, 1),
             (520, 1),
             (521, 1),
             (522, 1),
             (523, 1),
             (524, 1),
             (525, 1),
             (526, 1),
             (527, 1),
             (528, 1),
             (529, 1),
             (530, 1),
             (531, 1),
             (532, 1),
             (533, 1),
             (534, 1),
             (535, 1),
             (536, 1),
             (537, 1),
             (538, 1),
             (539, 1),
             (540, 1),
             (541, 1),
             (542, 1),
             (543, 1),
             (544, 1),
             (545, 1),
             (546, 1),
             (547, 1),
             (548, 1),
             (550, 1),
             (551, 1),
             (552, 1),
             (553, 1),
             (554, 1),
             (555, 1),
             (556, 1),
             (557, 1),
             (558, 1),
             (559, 1),
             (560, 1),
             (561, 1),
             (562, 1),
             (564, 1),
             (566, 1),
             (567, 1),
             (568, 1),
             (569, 1),
             (570, 1),
             (571, 1),
             (572, 1),
             (573, 1),
             (574, 1),
             (575, 1),
             (577, 1),
             (578, 1),
             (579, 1),
             (580, 1),
             (581, 1),
             (582, 1),
             (583, 1),
             (584, 1),
             (585, 1),
             (586, 1),
             (587, 1),
             (588, 1),
             (589, 1),
             (590, 1),
             (592, 1),
             (594, 1),
             (595, 1),
             (596, 1),
             (598, 1),
             (600, 1),
             (601, 1),
             (602, 1),
             (603, 1),
             (604, 1),
             (605, 1),
             (606, 1),
             (607, 1),
             (608, 1),
             (609, 1),
             (610, 1),
             (614, 1),
             (615, 1),
             (616, 1),
             (617, 1),
             (618, 1),
             (619, 1),
             (620, 1),
             (621, 1),
             (622, 1),
             (623, 1),
             (624, 1),
             (625, 1),
             (626, 1),
             (627, 1),
             (628, 1),
             (629, 1),
             (630, 1),
             (631, 1),
             (632, 1),
             (634, 1),
             (635, 1),
             (636, 1),
             (637, 1),
             (638, 1),
             (639, 1),
             (641, 1),
             (642, 1),
             (643, 1),
             (644, 1),
             (645, 1),
             (646, 1),
             (647, 1),
             (648, 1),
             (649, 1),
             (650, 1),
             (651, 1),
             (652, 1),
             (653, 1),
             (654, 1),
             (655, 1),
             (656, 1),
             (657, 1),
             (661, 1),
             (662, 1),
             (663, 1),
             (664, 1),
             (665, 1),
             (666, 1),
             (667, 1),
             (668, 1),
             (669, 1),
             (670, 1),
             (671, 1),
             (672, 1),
             (673, 1),
             (674, 1),
             (676, 1),
             (678, 1),
             (679, 1),
             (680, 1),
             (681, 1),
             (682, 1),
             (684, 1),
             (685, 1),
             (686, 1),
             (687, 1),
             (688, 1),
             (689, 1),
             (690, 1),
             (691, 1),
             (692, 1),
             (693, 1),
             (694, 1),
             (695, 1),
             (696, 1),
             (697, 1),
             (698, 1),
             (699, 1),
             (700, 1),
             (701, 1),
             (702, 1),
             (703, 1),
             (704, 1),
             (705, 1),
             (706, 1),
             (707, 1),
             (708, 1),
             (709, 1),
             (710, 1),
             (711, 1),
             (712, 1),
             (713, 1),
             (714, 1),
             (715, 1),
             (716, 1),
             (717, 1),
             (718, 1),
             (719, 1),
             (720, 1),
             (721, 1),
             (722, 1),
             (723, 1),
             (724, 1),
             (725, 1),
             (726, 1),
             (727, 1),
             (728, 1),
             (729, 1),
             (730, 1),
             (731, 1),
             (732, 1),
             (734, 1),
             (735, 1),
             (737, 1),
             (738, 1),
             (739, 1),
             (740, 1),
             (741, 1),
             (742, 1),
             (743, 1),
             (744, 1),
             (745, 1),
             (746, 1),
             (747, 1),
             (748, 1),
             (749, 1),
             (750, 1),
             (751, 1),
             (752, 1),
             (753, 1),
             (754, 1),
             (755, 1),
             (756, 1),
             (757, 1),
             (758, 1),
             (760, 1),
             (761, 1),
             (762, 1),
             (763, 1),
             (764, 1),
             (765, 1),
             (766, 1),
             (767, 1),
             (768, 1),
             (769, 1),
             (770, 1),
             (771, 1),
             (772, 1),
             (773, 1),
             (775, 1),
             (776, 1),
             (777, 1),
             (778, 1),
             (779, 1),
             (780, 1),
             (782, 1),
             (783, 1),
             (785, 1),
             (786, 1),
             (787, 1),
             (789, 1),
             (790, 1),
             (792, 1),
             (793, 1),
             (794, 1),
             (795, 1),
             (796, 1),
             (797, 1),
             (798, 1),
             (799, 1),
             (801, 1),
             (802, 1),
             (803, 1),
             (804, 1),
             (805, 1),
             (806, 1),
             (807, 1),
             (808, 1),
             (809, 1),
             (810, 1),
             (811, 1),
             (812, 1),
             (813, 1),
             (814, 1),
             (815, 1),
             (816, 1),
             (817, 1),
             (818, 1),
             (819, 1),
             (820, 1),
             (821, 1),
             (822, 1),
             (823, 1),
             (824, 1),
             (825, 1),
             (826, 1),
             (827, 1),
             (828, 1),
             (830, 1),
             (832, 1),
             (833, 1),
             (835, 1),
             (836, 1),
             (837, 1),
             (838, 1),
             (839, 1),
             (840, 1),
             (841, 1),
             (842, 1),
             (843, 1),
             (844, 1),
             (845, 1),
             (847, 1),
             (848, 1),
             (849, 1),
             (850, 1),
             (851, 1),
             (852, 1),
             (853, 1),
             (854, 1),
             (855, 1),
             (856, 1),
             (857, 1),
             (858, 1),
             (859, 1),
             (861, 1),
             (862, 1),
             (863, 1),
             (864, 1),
             (865, 1),
             (866, 1),
             (867, 1),
             (869, 1),
             (870, 1),
             (871, 1),
             (872, 1),
             (873, 1),
             (874, 1),
             (875, 1),
             (876, 1),
             (877, 1),
             (878, 1),
             (879, 1),
             (880, 1),
             (881, 1),
             (882, 1),
             (883, 1),
             (884, 1),
             (886, 1),
             (887, 1),
             (888, 1),
             (890, 1),
             (892, 1),
             (893, 1),
             (894, 1),
             (895, 1),
             (896, 1),
             (897, 1),
             (898, 1),
             (899, 1),
             (900, 1),
             (901, 1),
             (902, 1),
             (904, 1),
             (905, 1),
             (906, 1),
             (907, 1),
             (908, 1),
             (909, 1),
             (911, 1),
             (912, 1),
             (913, 1),
             (914, 1),
             (915, 1),
             (916, 1),
             (917, 1),
             (918, 1),
             (919, 1),
             (920, 1),
             (922, 1),
             (923, 1),
             (925, 1),
             (926, 1),
             (927, 1),
             (928, 1),
             (929, 1),
             (931, 1),
             (933, 1),
             (934, 1),
             (935, 1),
             (936, 1),
             (937, 1),
             (938, 1),
             (939, 1),
             (940, 1),
             (941, 1),
             (942, 1),
             (943, 1),
             (945, 1),
             (946, 1),
             (947, 1),
             (948, 1),
             (949, 1),
             (951, 1),
             (953, 1),
             (954, 1),
             (955, 1),
             (956, 1),
             (957, 1),
             (958, 1),
             (959, 1),
             (960, 1),
             (961, 1),
             (962, 1),
             (963, 1),
             (964, 1),
             (965, 1),
             (967, 1),
             (968, 1),
             (969, 1),
             (970, 1),
             (971, 1),
             (972, 1),
             (973, 1),
             (974, 1),
             (975, 1),
             (976, 1),
             (977, 1),
             (978, 1),
             (979, 1),
             (980, 1),
             (982, 1),
             (983, 1),
             (984, 1),
             (985, 1),
             (986, 1),
             (987, 1),
             (988, 1),
             (989, 1),
             (990, 1),
             (991, 1),
             (992, 1),
             (993, 1),
             (994, 1),
             (995, 1),
             (996, 1),
             (997, 1),
             (998, 1),
             (999, 1),
             (1000, 1),
             (1001, 1),
             (1002, 1),
             (1003, 1),
             (1004, 1),
             (1005, 1),
             (1006, 1),
             (1007, 1),
             (1008, 1),
             (1009, 1),
             (1010, 1),
             (1011, 1),
             (1012, 1),
             (1013, 1),
             (1014, 1),
             (1015, 1),
             (1016, 1),
             (1017, 1),
             (1019, 1),
             (1020, 1),
             (1021, 1),
             (1022, 1),
             (1023, 1),
             (1024, 1),
             (1025, 1),
             (1026, 1),
             (1027, 1),
             (1029, 1),
             (1030, 1),
             (1031, 1),
             (1032, 1),
             (1033, 1),
             (1034, 1),
             (1035, 1),
             (1036, 1),
             (1037, 1),
             (1038, 1),
             (1039, 1),
             (1040, 1),
             (1041, 1),
             (1042, 1),
             (1043, 1),
             (1044, 1),
             (1045, 1),
             (1047, 1),
             (1048, 1),
             (1049, 1),
             (1050, 1),
             (1051, 1),
             (1052, 1),
             (1053, 1),
             (1054, 1),
             (1055, 1),
             (1056, 1),
             (1057, 1),
             (1058, 1),
             (1059, 1),
             (1060, 1),
             (1061, 1),
             (1062, 1),
             (1063, 1),
             (1064, 1),
             (1065, 1),
             (1066, 1),
             (1067, 1),
             (1068, 1),
             (1069, 1),
             (1070, 1),
             (1071, 1),
             (1072, 1),
             (1073, 1),
             (1074, 1),
             (1075, 1),
             (1076, 1),
             (1077, 1),
             (1078, 1),
             (1079, 1),
             (1080, 1),
             (1081, 1),
             (1083, 1),
             (1084, 1),
             (1085, 1),
             (1087, 1),
             (1088, 1),
             (1089, 1),
             (1090, 1),
             (1091, 1),
             (1092, 1),
             (1093, 1),
             (1094, 1),
             (1095, 1),
             (1096, 1),
             (1097, 1),
             (1098, 1),
             (1099, 1),
             (1100, 1),
             ...])

Let us visualize the community structure


In [26]:
# plots complementary CDF for the comm sizes
# in log-log scale
def plot_ccdf_comm_sizes():
    COMM_sizes = num_and_sizes_SBM_COMM()
    data = np.array(COMM_sizes)
    sorted_data = np.sort(data)
    yvals=1-np.arange(len(sorted_data))/float(len(sorted_data)-1)
    plt.plot(sorted_data,yvals,color='r')
    plt.yscale('log')
    plt.ylabel('complementary CDF')
    plt.xscale('log')
    plt.xlabel('community size')
    plt.savefig('ccdf_comm_sizes.jpg')
    plt.show()

In [27]:
plot_ccdf_comm_sizes()


Now we add SR values and graph into the story

We want to see does community size correlate with average SR


In [28]:
# reads in the graph using igraph and Ncol format, i.e., edge list
# with weights being the SR on the edges
def read_in_SR_graph():
    #G = Graph.Read_Ncol('undirected_mention_graph_with_SR.csv', directed=False, weights=True)
    #G = read("test", format="ncol", directed=False, weights=True)
    G = Graph.Read_Ncol('directed_mention_graph_with_SR_NCOL_edgelist', directed=True, weights=True, names=True)
    #print G.summary()
    G.to_undirected(mode="collapse", combine_edges=min)
    #print G.summary()
    #G.simplify(combine_edges=None)
    #print G.summary()
    return G
read_in_SR_graph()


Out[28]:
<igraph.Graph at 0x7f637670e240>

In [29]:
# find average SR between the connected nodes
# in the subgraph of G induced by the nodes
def find_avg_SR(G, nodes):
    node_SR_list = []
    node_indices = []
    for el in nodes:
        n = G.vs.select(name = str(el))[0]
        n = n.index
        node_indices.append(n)
    edges = G.es.select(_within = node_indices)
    for e in edges:
        w = e['weight']
        node_SR_list.append(w)
    avg_SR = np.mean(np.array(node_SR_list))
    std_SR = np.std(np.array(node_SR_list))
    return (avg_SR, std_SR)

In [30]:
def avg_SR_per_COMM_size():
    output = read_SBM_output()
    G = read_in_SR_graph()
    size_vs_SR = defaultdict(int)
    for comm_nodes in output.values():
        size_vs_SR[len(comm_nodes)] = find_avg_SR(G, comm_nodes)
    sorted_size_vs_SR = OrderedDict(sorted(size_vs_SR.items(), key=lambda t:t[0], reverse=True))
    return size_vs_SR

In [31]:
def scatterplot_avg_SR_per_COMM_size():
    size_vs_SR = avg_SR_per_COMM_size()
    x = np.array(size_vs_SR.keys())
    y = np.array([s[0] for s in size_vs_SR.values()])
    e = np.array([s[1] for s in size_vs_SR.values()])
    print 'Corrcoef',  pearsonr(x, y)
    plt.scatter(x,y, label='mean SR per comm')
    plt.xlabel('comm size')
    plt.ylabel('mean SR')
    #plt.xscale('log')
    #plt.legend(loc='best',frameon=False)
    plt.show()

In [32]:
scatterplot_avg_SR_per_COMM_size()


Corrcoef (0.16162020563478774, 0.16891353358638017)

In [33]:
def read_sem_capital(f_name='user_entities.tab', tname='entities'):
    f = open(f_name, "r")
    cap = defaultdict(int)
    cnt = 0
    for line in f:
        if tname == 'sentiment':
            (vid, vn, val) = line.split('\t')
            val = float(val)
        else:
            (vid, val) = line.split('\t')
            val = float(val)
        cap[vid] = val
        cnt += 1
    return cap

In [34]:
def find_avg_SEM_CAP(sem_cap, comm_nodes):
    s = []
    for node in comm_nodes:
        s.append(sem_cap[str(node)])
    s_mean = np.mean(np.array(s))
    s_std = np.std(np.array(s))
    return (s_mean, s_std)

In [35]:
def avg_SEM_CAP_per_COMM_size():
    output = read_SBM_output()
    sem_cap = read_sem_capital()
    size_vs_SEM_CAP = defaultdict(int)
    for comm_nodes in output.values():
        size_vs_SEM_CAP[len(comm_nodes)] = find_avg_SEM_CAP(sem_cap, comm_nodes)
    sorted_size_vs_SEM_CAP = OrderedDict(sorted(size_vs_SEM_CAP.items(), key=lambda t:t[0], reverse=True))
    return size_vs_SEM_CAP

In [36]:
def scatterplot_avg_SEM_CAP_per_COMM_size():
    size_vs_SEM_CAP = avg_SEM_CAP_per_COMM_size()
    x = np.array(size_vs_SEM_CAP.keys())
    y = np.array([s[0] for s in size_vs_SEM_CAP.values()])
    e = np.array([s[1] for s in size_vs_SEM_CAP.values()])
    print 'Corrcoef',  pearsonr(x, y)
    plt.scatter(x,y)
    plt.xlabel('comm size')
    plt.ylabel('mean sem cap')
    #plt.xscale('log')
    #plt.legend(loc='best',frameon=False)
    plt.show()

In [37]:
scatterplot_avg_SEM_CAP_per_COMM_size()


Corrcoef (-0.045398125724374093, 0.7009199524199583)

Entities, concepts, taxonomies etc.


In [10]:
##################################################
# read in a map for the twitter username --> id
##################################################
def read_user_IDs():

    user_ids = defaultdict(str)

    with codecs.open('../user_IDs.dat','r', encoding='utf8') as f:
        for line in f:
            line = line.split()
            user_id = line[0]
            user =  line[1]
            user_ids[user] = int(user_id)

    return user_ids

In [11]:
def plot_taxonomy(tokens, weights, max_tokens, tokens_name, COM='ALL'):
    df = pd.DataFrame({'token': tokens, 'weight': weights})
    df.sort('weight', inplace=True, ascending=False)
    if df.shape[0] > max_tokens:
        tail = df.ix[max_tokens:, 'weight'].sum()
        df2 = df.iloc[0:max_tokens].copy()
        nrow = pd.Series({'token': '--[other ' + tokens_name + ']--', 'weight': tail})
        df2.ix[df2.shape[0]] = nrow
        df2.index = np.arange(df2.shape[0])
    else:
        df2 = df
        
    # Let's plot something better than a word cloud!

    plt.figure(figsize=(10,5))
    plt.title('community ' + COM)
    colors = []
    for c in range(df2.shape[0]-1):
        colors.append('#383838')
    colors.append('#ebe728')
    plt.barh(df2.index * -1, np.log(df2['weight']), color=colors)
    plt.gca().yaxis.grid(False)
    plt.yticks(df2.index * -1 + 1.0, df2['token'])
    plt.ylim(-1 * df2.shape[0] + 1.4, 1)
    plt.xlabel(tokens_name + ' weight')
    plt.savefig(COM+tokens_name+'.jpg', bbox_inches='tight')
    if tokens_name == 'entity':
        plt.show()

In [12]:
##################################################
# the core function for the user lists, comm etc.
##################################################
"""
    here, the options are to visualize the taxonomy for the whole dataset (COM="ALL")
    and to visualize for different communities (COM="COM") that are read in through read_in_communities()
    in the case of communities, this functions is invoked once per each community
    -- user_list holds the ids of the users in one community
    -- TOP_N holds the number of top concepts, keywords and entities that we want to visualize and record
    -- user_com holds a map for user_id --> com_id
    -- N_COM holds the total number of communities found (changes depending on the community detection algorithm)
"""
def find_taxonomy_of_user_list(user_ids=read_user_IDs(), COM='ALL', user_list=None, TOP_N=20):

    # resulting dictionaries in which the counts and tfidf relevance are collected
    keywords_sum = defaultdict(int)
    entities_sum = defaultdict(int)
    concepts_sum = defaultdict(int)
    taxonomies_sum = defaultdict(int) 
    
    docSentiment_sum = defaultdict(int)
    
    #print len(user_list), COM

    cnt = 0
    with codecs.open('../tweets_taxonomy_clean.JSON','r', encoding='utf8') as input_file:
        for line7s in input_file:
            try:
                line = json.loads(line7s)
                user_name = line["_id"]
                user_name = str(user_name)
                user_id = user_ids[user_name]
                if user_list is not None:
                    if not user_id in user_list:
                        #print user_id
                        continue
                # if dealing with ALL, take all the users
                taxonomy_all = line["taxonomy"]
                keywords = taxonomy_all["keywords"]
                entities = taxonomy_all["entities"]
                concepts = taxonomy_all["concepts"] 
                taxonomy = taxonomy_all["taxonomy"] 
                #
                docSentiment = taxonomy_all["docSentiment"] 
                # this counts how many user we have analyzed
                cnt += 1
            except KeyError:
                #print line7s
                # we don't print since it is tested, there some 10% users for whom
                # the taxonomy was not successfuly downloaded and they would be listed here
                continue
            
            for el in keywords:
                category = el["text"]
                # if we first time encounter this keyword, add a dict for it in the result
                if not category in keywords_sum:
                    keywords_sum[category] = defaultdict(int)
                # we use this not so well coded part because tuples do not allow assignment
                old_relev = keywords_sum[category][0]
                old_cnt = keywords_sum[category][1]
                new_relev = old_relev + float(el["relevance"])
                new_cnt = old_cnt + 1
                keywords_sum[category] = (new_relev, new_cnt)

            for el in entities:
                entity = el["text"]
                if entity in ['#', '#MentionTo', 'twitter', 'Twitter']:
                    continue
                # if we first time encounter this entity, add a dict for it in the result
                if not entity in entities_sum:
                    entities_sum[entity] = defaultdict(int)
                # we use this not so well coded part because tuples do not allow assignment
                old_relev = entities_sum[entity][0]
                old_cnt = entities_sum[entity][1]
                new_relev = old_relev + float(el["relevance"])
                new_cnt = old_cnt + 1
                entities_sum[entity] = (new_relev, new_cnt, el["type"])

            for el in concepts:
                concept = el["text"]
                if concept in ['Trigraph', 'Gh', 'trigraph']:
                    continue
                # if we first time encounter this concept, add a dict for it in the result
                if not concept in concepts_sum:
                    concepts_sum[concept] = defaultdict(int)
                # we use this not so well coded part because tuples do not allow assignment
                old_relev = concepts_sum[concept][0]
                old_cnt = concepts_sum[concept][1]
                new_relev = old_relev + float(el["relevance"])
                new_cnt = old_cnt + 1
                concepts_sum[concept] = (new_relev, new_cnt)

            # a bit different procedure for extracting the sentiment
            sentiment = docSentiment["type"]
            if sentiment == "neutral":
                docSentiment_sum[sentiment] += 1
            else:
                if not sentiment in docSentiment_sum:
                    docSentiment_sum[sentiment] = defaultdict(int)
                old_score = docSentiment_sum[sentiment][0]
                old_cnt = docSentiment_sum[sentiment][1]
                old_mixed_cnt = docSentiment_sum[sentiment][2]
                try:
                    new_score = old_score + float(docSentiment["score"])
                except KeyError:
                    continue
                new_cnt = old_cnt + 1
                try:
                    new_mixed_cnt = old_mixed_cnt + int(docSentiment["mixed"])
                except KeyError:
                    continue
                docSentiment_sum[sentiment] = (new_score, new_cnt, new_mixed_cnt)


            for el in taxonomy:
                taxonomy_tree = el["label"]
                taxon = taxonomy_tree
                if not taxon in taxonomies_sum:
                    taxonomies_sum[taxon] = defaultdict(int)
                old_score = taxonomies_sum[taxon][0]
                old_cnt = taxonomies_sum[taxon][1]
                new_score = old_score + float(el["score"])
                new_cnt = old_cnt + 1
                taxonomies_sum[taxon] = (new_score, new_cnt)

        com_size = cnt
        # THIS IS A CONSTANT, because we know how many users there are in total after we did one ALL run
        N = 27665
        print "*** The user list %s ***" % COM
        print "Analyzed %d users out of total %d users " % (com_size, N)
        try:
            pos_users = docSentiment_sum["positive"][1]
            pos_score = docSentiment_sum["positive"][0]
        except TypeError:
            pos_users = 0
            pos_score = 0
        try:
            neg_users = docSentiment_sum["negative"][1]
            neg_score = docSentiment_sum["negative"][0]
        except TypeError:
            neg_users = 0
            neg_score = 0
        try:
            neu_users = docSentiment_sum["neutral"]
        except TypeError:
            neu_users = 0
        """
        print "___________________"
        print "Sentiment stats: positive %d users; negative %d users; and neutral %d " % (pos_users, neg_users, neu_users)
        print "Sentiment score: positive %f ; negative %f; and the sum sentiment %f " % (pos_score, neg_score, pos_score + neg_score)
        print "Overall positive sentiment pct is %f " % (float(pos_users)/com_size)
        print "___________________"
        print "Total keywords found ", len(keywords_sum)
        print "Total entities found ", len(entities_sum)
        print "Total concepts found ", len(concepts_sum)
        print "Total taxonomies on different levels found ", len(taxonomies_sum)
        print "___________________"
        """

        #####################
        ## STARTS plotting ##
        #####################
        
        #####################
        ##    KEYWORDS     ##
        #####################
        for kw in keywords_sum:
            tot_relev = keywords_sum[kw][0]
            tot_cnt = keywords_sum[kw][1]
            inv_kw_fq = 0 if tot_cnt == 0 else N/float(tot_cnt)
            tfidf = float(tot_relev * math.log(1.0 + inv_kw_fq))
            keywords_sum[kw] = (tot_relev, tot_cnt, tfidf)
        
        #print
        #print "Keywords (ordered by TF-IDF): [relevance, count, TF-IDF]"
        ord_keywords_sum2 = OrderedDict(sorted(keywords_sum.items(), key=lambda x: x[1][0], reverse = True))
        NN = len(ord_keywords_sum2.items())
        labels = np.empty([NN], dtype="<U26")
        sizes = np.empty([NN], dtype=float)
        sizes_tot = np.empty([NN], dtype=float)
        i = 0
        for el in ord_keywords_sum2:
            #print el.encode('utf-8'), ord_keywords_sum2[el]
            labels[i] = el
            sizes[i] = float(ord_keywords_sum2[el][1])
            sizes_tot[i] = float(ord_keywords_sum2[el][0])
            i += 1
            #if i == TOP_N:
            #    break

                
        plot_taxonomy(tokens=labels, weights=sizes_tot, max_tokens=TOP_N, tokens_name='keyword', COM=COM)
        #plot_taxonomy(labels, sizes_tot, "kw_com_" + str(COM) + ".png")
        plt.clf()
        #print

        #####################
        ##    ENTITIES     ##
        #####################
        for en in entities_sum:
            tot_relev = entities_sum[en][0]
            tot_cnt = entities_sum[en][1]
            inv_ent_fq = 0 if tot_cnt == 0 else N/float(tot_cnt)
            tfidf = tot_relev * math.log(1.0 + inv_ent_fq)
            entities_sum[en] = (tot_relev, tot_cnt, tfidf)  

        #print "Entities (sorted by TF-IDF): [relevance, count, TF-IDF]"
        ord_entities_sum2 = OrderedDict(sorted(entities_sum.items(), key=lambda x: x[1][0], reverse = True))
        NN = len(ord_keywords_sum2.items())
        labels = np.empty([NN], dtype="<U26")
        sizes = np.empty([NN], dtype=float)
        sizes_tot = np.empty([NN], dtype=float)
        i = 0
        for el in ord_entities_sum2:
            #print el.encode('utf-8'), ord_entities_sum2[el]
            labels[i] = el
            #print labels
            sizes_tot[i] = float(ord_entities_sum2[el][0])
            sizes[i] = float(ord_entities_sum2[el][2])
            i += 1
            #if i == TOP_N:
            #    break

        plot_taxonomy(tokens=labels, weights=sizes_tot, max_tokens=TOP_N, tokens_name='entity', COM=COM)
        plt.clf()
        #print

        #####################
        ##    CONCEPTS     ##
        #####################
        for conc in concepts_sum:
            tot_relev = concepts_sum[conc][0]
            tot_cnt = concepts_sum[conc][1]
            inv_fq = 0 if tot_cnt == 0 else N/float(tot_cnt)
            tfidf = float(tot_relev * math.log(1.0 + inv_fq))
            concepts_sum[conc] = (tot_relev, tot_cnt, tfidf)

        #print "Concepts (sorted by TF-IDF): [relevance, count, TF-IDF]"
        ord_concepts_sum = OrderedDict(sorted(concepts_sum.items(), key=lambda x: x[1][0], reverse = True))
        NN = len(ord_keywords_sum2.items())
        labels = np.empty([NN], dtype="<U26")
        sizes = np.empty([NN], dtype=float)
        sizes_tot = np.empty([NN], dtype=float)
        i = 0
        for el in ord_concepts_sum:
            #print el.encode('utf-8'), ord_concepts_sum[el]
            labels[i] = el
            sizes[i] = float(ord_concepts_sum[el][2])
            sizes_tot[i] = float(ord_concepts_sum[el][0])
            i += 1
            #if i == TOP_N:
            #    break

        plot_taxonomy(tokens=labels, weights=sizes_tot, max_tokens=TOP_N, tokens_name='concept', COM=COM)
        #plot_pie(labels, sizes_tot, "concept_" + str(COM) + ".png")
        plt.clf()
        #print

        #####################
        ##   TAXONOMIES    ##
        #####################
        for taxon in taxonomies_sum:
            tot_score = taxonomies_sum[taxon][0]
            tot_cnt = taxonomies_sum[taxon][1]
            inv_fq = 0 if tot_cnt == 0 else N/float(tot_cnt)
            tfidf = float(tot_score * math.log(1.0 + inv_fq))
            taxonomies_sum[taxon] = (tot_score, tot_cnt, tfidf)


        #print "Taxonomies (sorted by TF-IDF): [relevance, count, TF-IDF]"
        ord_taxonomies_sum = OrderedDict(sorted(taxonomies_sum.items(), key=lambda x: x[1][0], reverse = True))
        NN = len(ord_keywords_sum2.items())
        labels = np.empty([NN], dtype="<U26")
        sizes = np.empty([NN], dtype=float)
        sizes_tot = np.empty([NN], dtype=float)
        i = 0
        for el in ord_taxonomies_sum:
            #print el.encode('utf-8'), ord_taxonomies_sum[el]
            labels[i] = el
            sizes[i] = float(ord_taxonomies_sum[el][2])
            sizes_tot[i] = float(ord_taxonomies_sum[el][0])
            i += 1
            #if i == TOP_N:
            #    break

        plot_taxonomy(tokens=labels, weights=sizes_tot, max_tokens=TOP_N, tokens_name='taxonomy', COM=COM)
        #plot_pie(labels, sizes_tot, "taxon_" + str(COM) + ".png")
        plt.clf()
        #print

In [13]:
def main(sizeN='ALL'):

    if sizeN == "ALL":
        #sys.stdout = open('../ALL/top_20_stats', 'w')
        find_taxonomy_of_user_list()
    else:
        sys.stdout = open('Modularity_taxonomy_stats_SBM.txt', 'w')
        top_communities = read_in_top_communities(sizeN)
        #print len(top_communities), "top communities found of size", str(sizeN)

        for community in top_communities:
            # user_ids=read_user_IDs(), COM='ALL', user_list=None, TOP_N=20
            user_list_int = [int(x) for x in top_communities[community]]
            find_taxonomy_of_user_list(user_ids=read_user_IDs(), COM=str(community), user_list=user_list_int, TOP_N=20)

In [14]:
main(sizeN=490)


/usr/local/lib/python2.7/dist-packages/ipykernel_launcher.py:3: FutureWarning: sort(columns=....) is deprecated, use sort_values(by=.....)
  This is separate from the ipykernel package so we can avoid doing imports until
<matplotlib.figure.Figure at 0x7f9f3ff51150>
<matplotlib.figure.Figure at 0x7f9f3fe9a910>
<matplotlib.figure.Figure at 0x7f9f3ff8fb10>
<matplotlib.figure.Figure at 0x7f9f4417edd0>
<matplotlib.figure.Figure at 0x7f9f3ffb3190>
<matplotlib.figure.Figure at 0x7f9f3ffb2fd0>
<matplotlib.figure.Figure at 0x7f9f440e9790>
<matplotlib.figure.Figure at 0x7f9f449b6210>
<matplotlib.figure.Figure at 0x7f9f3fe068d0>
<matplotlib.figure.Figure at 0x7f9f3ff51690>
<matplotlib.figure.Figure at 0x7f9f44adab90>
<matplotlib.figure.Figure at 0x7f9f44230650>
<matplotlib.figure.Figure at 0x7f9f44190850>
<matplotlib.figure.Figure at 0x7f9f3fb59310>
<matplotlib.figure.Figure at 0x7f9f4499f890>
<matplotlib.figure.Figure at 0x7f9f440d7e50>
<matplotlib.figure.Figure at 0x7f9f44a7ef50>
<matplotlib.figure.Figure at 0x7f9f44b61510>
<matplotlib.figure.Figure at 0x7f9f444baad0>
<matplotlib.figure.Figure at 0x7f9f446df410>
<matplotlib.figure.Figure at 0x7f9f44573910>
<matplotlib.figure.Figure at 0x7f9f44ba4810>
<matplotlib.figure.Figure at 0x7f9f3ff51e10>
<matplotlib.figure.Figure at 0x7f9f44b6f450>
<matplotlib.figure.Figure at 0x7f9f3fc28b10>
<matplotlib.figure.Figure at 0x7f9f44b4e5d0>
<matplotlib.figure.Figure at 0x7f9f3fef7ed0>
<matplotlib.figure.Figure at 0x7f9f46ce7850>
<matplotlib.figure.Figure at 0x7f9f4475a5d0>
<matplotlib.figure.Figure at 0x7f9f4415cf50>
<matplotlib.figure.Figure at 0x7f9f44810d10>
<matplotlib.figure.Figure at 0x7f9f3fd28910>
<matplotlib.figure.Figure at 0x7f9f441da510>
<matplotlib.figure.Figure at 0x7f9f4481f790>
<matplotlib.figure.Figure at 0x7f9f449e6d50>
<matplotlib.figure.Figure at 0x7f9f3fb10790>
<matplotlib.figure.Figure at 0x7f9f3ff86f10>
<matplotlib.figure.Figure at 0x7f9f44cf8410>
<matplotlib.figure.Figure at 0x7f9f44810e10>
<matplotlib.figure.Figure at 0x7f9f4410f190>
<matplotlib.figure.Figure at 0x7f9f4460aa50>
<matplotlib.figure.Figure at 0x7f9f3fc200d0>
<matplotlib.figure.Figure at 0x7f9f3fab7e90>
<matplotlib.figure.Figure at 0x7f9f44c58590>

In [ ]: