数字当て推理ゲーム（Hit&Blow)を解くプログラムを考えてみる

# はじめに
Hit&Blowの問題を解くようなプログラムを作っていきます。
- 言語：Python
- 環境：Google Colaboratory
## Hit&Blowとは
- お題は0~9までの数字から異なる数字を決められた桁数だけ選択される
- 回答者は0~9までの数字から異なる数字を決められた桁数だけ選択し、
Hit&Blowの数からお題の数字を考える
    - Hit:同じ桁数に同じ数字がある数
    - Blow:同じ桁数にはないが別の桁数に同じ数字がある数
- 回答を繰り返しお題の数字を当てるゲーム

# Hit&Blowのプログラムを作成する
Hit&Blowのプログラムについては下記ページを参考にさせていただきました。

https://qiita.com/santarou6/items/1af5a03534e2d8ab0b52

お題の数字は自分で決められるようにし、桁数も可変式にしました。
```python:
def calculation(k,q):
  size=len(q)
  hit = 0
  blow = 0
  for num in range(size):
    if(q[num] == k[num]):
      hit +=1
  for num in range(len(q)):
    for count in range(len(k)):
      if(q[num]==k[count]):
        if(num!=count):
          blow+=1
  return [hit,blow]
```

上記の関数の引数kに正解の数字、qに回答の数字を入れると[hit数,blow数]が返されるようになっています。

# Hit&Blowを解くプログラムを作成する
前章では回答の数字からHit&Blowを返すプログラムを作成しました。
今回はこちらのプログラムを使って考えられる数字を総当たりで探索する方向で考えていきます。
## 任意の桁数の考えられるすべてのパターンをリスト化する
["0","1","2","3","4","5","6","7","8","9"]
の中から任意の数選択するので順列のプログラムを使用します。
下記サイトを参考にし0~9までの数字を任意の数選択したパターンをリスト化して格納しました。

https://note.nkmk.me/python-math-factorial-permutations-combinations/
```python:
import itertools
```
```python:
s="0123456789"
size=5
all_number = [''.join(v) for v in itertools.permutations(s, size)]
print(all_number)
```
出力
```
['01234', '01235', '01236', '01237', '01238', '01239', '01243', '01245', '01246', '01247', '01248', '01249', '01253', '01254', '01256', '01257', '01258', '01259', '01263', '01264', '01265', '01267', '01268', '01269', '01273', '01274', '01275', '01276', '01278', '01279', '01283', '01284', '01285', '01286', '01287', '01289', '01293', '01294', '01295', '01296', '01297', '01298', '01324', '01325', '01326', '01327', '01328', '01329', '01342', '01345', '01346', '01347', '01348', '01349', '01352', '01354', '01356', '01357', '01358', '01359', '01362', '01364', '01365', '01367', '01368', '01369', '01372', '01374', '01375', '01376', '01378', '01379', '01382', '01384', '01385', '01386', '01387', '01389', '01392', '01394', '01395', '01396', '01397', '01398', '01423', '01425', '01426', '01427', '01428', '01429', '01432', '01435', '01436', '01437', '01438', '01439', '01452', '01453', '01456', '01457', '01458', '01459', '01462', '01463', '01465', '01467', '01468', '01469', '01472', '01473', '01475', '01476', '01478', '01479', '01482', '01483', '01485', '01486', '01487', '01489', '01492', '01493', '01495', '01496', '01497', '01498', '01523', '01524', '01526', '01527', '01528', '01529', '01532', '01534', '01536', '01537', '01538', '01539', '01542', '01543', '01546', '01547', '01548', '01549', '01562', '01563', '01564', '01567', '01568', '01569', '01572', '01573', '01574', '01576', '01578', '01579', '01582', '01583', '01584', '01586', '01587', '01589', '01592', '01593', '01594', '01596', '01597', '01598', '01623', '01624', '01625', '01627', '01628', '01629', '01632', '01634', '01635', '01637', '01638', '01639', '01642', '01643', '01645', '01647', '01648', '01649', '01652', '01653', '01654', '01657', '01658', '01659', '01672', '01673', '01674', '01675', '01678', '01679', '01682', '01683', '01684', '01685', '01687', '01689', '01692', '01693', '01694', '01695', '01697', '01698', '01723', '01724', '01725', '01726', '01728', '01729', '01732', '01734', '01735', '01736', '01738', '01739', '01742', '01743', '01745', '01746', '01748', '01749', '01752', '01753', '01754', '01756', '01758', '01759', '01762', '01763', '01764', '01765', '01768', '01769', '01782', '01783', '01784', '01785', '01786', '01789', '01792', '01793', '01794', '01795', '01796', '01798', '01823', '01824', '01825', '01826', '01827', '01829', '01832', '01834', '01835', '01836', '01837', '01839', '01842', '01843', '01845', '01846', '01847', '01849', '01852', '01853', '01854', '01856', '01857', '01859', '01862', '01863', '01864', '01865', '01867', '01869', '01872', '01873', '01874', '01875', '01876', '01879', '01892', '01893', '01894', '01895', '01896', '01897', '01923', '01924', '01925', '01926', '01927', '01928', '01932', '01934', '01935', '01936', '01937', '01938', '01942', '01943', '01945', '01946', '01947', '01948', '01952', '01953', '01954', '01956', '01957', '01958', '01962', '01963', '01964', '01965', '01967', '01968', '01972', '01973', '01974', '01975', '01976', '01978', '01982', '01983', '01984', '01985', '01986', '01987', '02134', '02135', '02136', '02137', '02138', '02139', '02143', '02145', '02146', '02147', '02148', '02149', '02153', '02154', '02156', '02157', '02158', '02159', '02163', '02164', '02165', '02167', '02168', '02169', '02173', '02174', '02175', '02176', '02178', '02179', '02183', '02184', '02185', '02186', '02187', '02189', '02193', '02194', '02195', '02196', '02197', '02198', '02314', '02315', '02316', '02317', '02318', '02319', '02341', '02345', '02346', '02347', '02348', '02349', '02351', '02354', '02356', '02357', '02358', '02359', '02361', '02364', '02365', '02367', '02368', '02369', '02371', '02374', '02375', '02376', '02378', '02379', '02381', '02384', '02385', '02386', '02387', '02389', '02391', '02394', '02395', '02396', '02397', '02398', '02413', '02415', '02416', '02417', '02418', '02419', '02431', '02435', '02436', '02437', '02438', '02439', '02451', '02453', '02456', '02457', '02458', '02459', '02461', '02463', '02465', '02467', '02468', '02469', '02471', '02473', '02475', '02476', '02478', '02479', '02481', '02483', '02485', '02486', '02487', '02489', '02491', '02493', '02495', '02496', '02497', '02498', '02513', '02514', '02516', '02517', '02518', '02519', '02531', '02534', '02536', '02537', '02538', '02539', '02541', '02543', '02546', '02547', '02548', '02549', '02561', '02563', '02564', '02567', '02568', '02569', '02571', '02573', '02574', '02576', '02578', '02579', '02581', '02583', '02584', '02586', '02587', '02589', '02591', '02593', '02594', '02596', '02597', '02598', '02613', '02614', '02615', '02617', '02618', '02619', '02631', '02634', '02635', '02637', '02638', '02639', '02641', '02643', '02645', '02647', '02648', '02649', '02651', '02653', '02654', '02657', '02658', '02659', '02671', '02673', '02674', '02675', '02678', '02679', '02681', '02683', '02684', '02685', '02687', '02689', '02691', '02693', '02694', '02695', '02697', '02698', '02713', '02714', '02715', '02716', '02718', '02719', '02731', '02734', '02735', '02736', '02738', '02739', '02741', '02743', '02745', '02746', '02748', '02749', '02751', '02753', '02754', '02756', '02758', '02759', '02761', '02763', '02764', '02765', '02768', '02769', '02781', '02783', '02784', '02785', '02786', '02789', '02791', '02793', '02794', '02795', '02796', '02798', '02813', '02814', '02815', '02816', '02817', '02819', '02831', '02834', '02835', '02836', '02837', '02839', '02841', '02843', '02845', '02846', '02847', '02849', '02851', '02853', '02854', '02856', '02857', '02859', '02861', '02863', '02864', '02865', '02867', '02869', '02871', '02873', '02874', '02875', '02876', '02879', '02891', '02893', '02894', '02895', '02896', '02897', '02913', '02914', '02915', '02916', '02917', '02918', '02931', '02934', '02935', '02936', '02937', '02938', '02941', '02943', '02945', '02946', '02947', '02948', '02951', '02953', '02954', '02956', '02957', '02958', '02961', '02963', '02964', '02965', '02967', '02968', '02971', '02973', '02974', '02975', '02976', '02978', '02981', '02983', '02984', '02985', '02986', '02987', '03124', '03125', '03126', '03127', '03128', '03129', '03142', '03145', '03146', '03147', '03148', '03149', '03152', '03154', '03156', '03157', '03158', '03159', '03162', '03164', '03165', '03167', '03168', '03169', '03172', '03174', '03175', '03176', '03178', '03179', '03182', '03184', '03185', '03186', '03187', '03189', '03192', '03194', '03195', '03196', '03197', '03198', '03214', '03215', '03216', '03217', '03218', '03219', '03241', '03245', '03246', '03247', '03248', '03249', '03251', '03254', '03256', '03257', '03258', '03259', '03261', '03264', '03265', '03267', '03268', '03269', '03271', '03274', '03275', '03276', '03278', '03279', '03281', '03284', '03285', '03286', '03287', '03289', '03291', '03294', '03295', '03296', '03297', '03298', '03412', '03415', '03416', '03417', '03418', '03419', '03421', '03425', '03426', '03427', '03428', '03429', '03451', '03452', '03456', '03457', '03458', '03459', '03461', '03462', '03465', '03467', '03468', '03469', '03471', '03472', '03475', '03476', '03478', '03479', '03481', '03482', '03485', '03486', '03487', '03489', '03491', '03492', '03495', '03496', '03497', '03498', '03512', '03514', '03516', '03517', '03518', '03519', '03521', '03524', '03526', '03527', '03528', '03529', '03541', '03542', '03546', '03547', '03548', '03549', '03561', '03562', '03564', '03567', '03568', '03569', '03571', '03572', '03574', '03576', '03578', '03579', '03581', '03582', '03584', '03586', '03587', '03589', '03591', '03592', '03594', '03596', '03597', '03598', '03612', '03614', '03615', '03617', '03618', '03619', '03621', '03624', '03625', '03627', '03628', '03629', '03641', '03642', '03645', '03647', '03648', '03649', '03651', '03652', '03654', '03657', '03658', '03659', '03671', '03672', '03674', '03675', '03678', '03679', '03681', '03682', '03684', '03685', '03687', '03689', '03691', '03692', '03694', '03695', '03697', '03698', '03712', '03714', '03715', '03716', '03718', '03719', '03721', '03724', '03725', '03726', '03728', '03729', '03741', '03742', '03745', '03746', '03748', '03749', '03751', '03752', '03754', '03756', '03758', '03759', '03761', '03762', '03764', '03765', '03768', '03769', '03781', '03782', '03784', '03785', '03786', '03789', '03791', '03792', '03794', '03795', '03796', '03798', '03812', '03814', '03815', '03816', '03817', '03819', '03821', '03824', '03825', '03826', '03827', '03829', '03841', '03842', '03845', '03846', '03847', '03849', '03851', '03852', '03854', '03856', '03857', '03859', '03861', '03862', '03864', '03865', '03867', '03869', '03871', '03872', '03874', '03875', '03876', '03879', '03891', '03892', '03894', '03895', '03896', '03897', '03912', '03914', '03915', '03916', '03917', '03918', '03921', '03924', '03925', '03926', '03927', '03928', '03941', '03942', '03945', '03946', '03947', '03948', '03951', '03952', '03954', '03956', '03957', '03958', '03961', '03962', '03964', '03965', '03967', '03968', '03971', '03972', '03974', '03975', '03976', '03978', '03981', '03982', '03984', '03985', '03986', '03987', '04123', '04125', '04126', '04127', '04128', '04129', '04132', '04135', '04136', '04137', '04138', '04139', '04152', '04153', '04156', '04157', '04158', '04159', '04162', '04163', '04165', '04167', '04168', '04169', '04172', '04173', '04175', '04176', '04178', '04179', '04182', '04183', '04185', '04186', '04187', '04189', '04192', '04193', '04195', '04196', '04197', '04198', '04213', '04215', '04216', '04217', '04218', '04219', '04231', '04235', '04236', '04237', '04238', '04239', '04251', '04253', '04256', '04257', '04258', '04259', '04261', '04263', '04265', '04267', '04268', '04269', '04271', '04273', '04275', '04276', '04278', '04279', '04281', '04283', '04285', '04286', '04287', '04289', '04291', '04293', '04295', '04296', '04297', '04298', '04312', '04315', '04316', '04317', '04318', '04319', '04321', '04325', '04326', '04327', '04328', '04329', '04351', '04352', '04356', '04357', '04358', '04359', '04361', '04362', '04365', '04367', '04368', '04369', '04371', '04372', '04375', '04376', '04378', '04379', '04381', '04382', '04385', '04386', '04387', '04389', '04391', '04392', '04395', '04396', '04397', '04398', '04512', '04513', '04516', '04517', '04518', '04519', '04521', '04523', '04526', '04527', '04528', '04529', '04531', '04532', '04536', '04537', '04538', '04539', '04561', '04562', '04563', '04567', '04568', '04569', '04571', '04572', '04573', '04576', '04578', '04579', '04581', '04582', '04583', '04586', '04587', '04589', '04591', '04592', '04593', '04596', '04597', '04598', '04612', '04613', '04615', '04617', '04618', '04619', '04621', '04623', '04625', '04627', '04628', '04629', '04631', '04632', '04635', '04637', '04638', '04639', '04651', '04652', '04653', '04657', '04658', '04659', '04671', '04672', '04673', '04675', '04678', '04679', '04681', '04682', '04683', '04685', '04687', '04689', '04691', '04692', '04693', '04695', '04697', '04698', '04712', '04713', '04715', '04716', '04718', '04719', '04721', '04723', '04725', '04726', '04728', '04729', '04731', '04732', '04735', '04736', '04738', '04739', '04751', '04752', '04753', '04756', '04758', '04759', '04761', '04762', '04763', '04765', '04768', '04769', '04781', '04782', '04783', '04785', '04786', '04789', '04791', '04792', '04793', '04795', '04796', '04798', '04812', '04813', '04815', '04816', '04817', '04819', '04821', '04823', '04825', '04826', '04827', '04829', '04831', '04832', '04835', '04836', '04837', '04839', '04851', '04852', '04853', '04856', '04857', '04859', '04861', '04862', '04863', '04865', '04867', '04869', '04871', '04872', '04873', '04875', '04876', '04879', '04891', '04892', '04893', '04895', '04896', '04897', '04912', '04913', '04915', '04916', '04917', '04918', '04921', '04923', '04925', '04926', '04927', '04928', '04931', '04932', '04935', '04936', '04937', '04938', '04951', '04952', '04953', '04956', '04957', '04958', '04961', '04962', '04963', '04965', '04967', '04968', '04971', '04972', '04973', '04975', '04976', '04978', '04981', '04982', '04983', '04985', '04986', '04987', '05123', '05124', '05126', '05127', '05128', '05129', '05132', '05134', '05136', '05137', '05138', '05139', '05142', '05143', '05146', '05147', '05148', '05149', '05162', '05163', '05164', '05167', '05168', '05169', '05172', '05173', '05174', '05176', '05178', '05179', '05182', '05183', '05184', '05186', '05187', '05189', '05192', '05193', '05194', '05196', '05197', '05198', '05213', '05214', '05216', '05217', '05218', '05219', '05231', '05234', '05236', '05237', '05238', '05239', '05241', '05243', '05246', '05247', '05248', '05249', '05261', '05263', '05264', '05267', '05268', '05269', '05271', '05273', '05274', '05276', '05278', '05279', '05281', '05283', '05284', '05286', '05287', '05289', '05291', '05293', '05294', '05296', '05297', '05298', '05312', '05314', '05316', '05317', '05318', '05319', '05321', '05324', '05326', '05327', '05328', '05329', '05341', '05342', '05346', '05347', '05348', '05349', '05361', '05362', '05364', '05367', '05368', '05369', '05371', '05372', '05374', '05376', '05378', '05379', '05381', '05382', '05384', '05386', '05387', '05389', '05391', '05392', '05394', '05396', '05397', '05398', '05412', '05413', '05416', '05417', '05418', '05419', '05421', '05423', '05426', '05427', '05428', '05429', '05431', '05432', '05436', '05437', '05438', '05439', '05461', '05462', '05463', '05467', '05468', '05469', '05471', '05472', '05473', '05476', '05478', '05479', '05481', '05482', '05483', '05486', '05487', '05489', '05491', '05492', '05493', '05496', '05497', '05498', '05612', '05613', '05614', '05617', '05618', '05619', '05621', '05623', '05624', '05627', '05628', '05629', '05631', '05632', '05634', '05637', '05638', '05639', '05641', '05642', '05643', '05647', '05648', '05649', '05671', '05672', '05673', '05674', '05678', '05679', '05681', '05682', '05683', '05684', '05687', '05689', '05691', '05692', '05693', '05694', '05697', '05698', '05712', '05713', '05714', '05716', '05718', '05719', '05721', '05723', '05724', '05726', '05728', '05729', '05731', '05732', '05734', '05736', '05738', '05739', '05741', '05742', '05743', '05746', '05748', '05749', '05761', '05762', '05763', '05764', '05768', '05769', '05781', '05782', '05783', '05784', '05786', '05789', '05791', '05792', '05793', '05794', '05796', '05798', '05812', '05813', '05814', '05816', '05817', '05819', '05821', '05823', '05824', '05826', '05827', '05829', '05831', '05832', '05834', '05836', '05837', '05839', '05841', '05842', '05843', '05846', '05847', '05849', '05861', '05862', '05863', '05864', '05867', '05869', '05871', '05872', '05873', '05874', '05876', '05879', '05891', '05892', '05893', '05894', '05896', '05897', '05912', '05913', '05914', '05916', '05917', '05918', '05921', '05923', '05924', '05926', '05927', '05928', '05931', '05932', '05934', '05936', '05937', '05938', '05941', '05942', '05943', '05946', '05947', '05948', '05961', '05962', '05963', '05964', '05967', '05968', '05971', '05972', '05973', '05974', '05976', '05978', '05981', '05982', '05983', '05984', '05986', '05987', '06123', '06124', '06125', '06127', '06128', '06129', '06132', '06134', '06135', '06137', '06138', '06139', '06142', '06143', '06145', '06147', '06148', '06149', '06152', '06153', '06154', '06157', '06158', '06159', '06172', '06173', '06174', '06175', '06178', '06179', '06182', '06183', '06184', '06185', '06187', '06189', '06192', '06193', '06194', '06195', '06197', '06198', '06213', '06214', '06215', '06217', '06218', '06219', '06231', '06234', '06235', '06237', '06238', '06239', '06241', '06243', '06245', '06247', '06248', '06249', '06251', '06253', '06254', '06257', '06258', '06259', '06271', '06273', '06274', '06275', '06278', '06279', '06281', '06283', '06284', '06285', '06287', '06289', '06291', '06293', '06294', '06295', '06297', '06298', '06312', '06314', '06315', '06317', '06318', '06319', '06321', '06324', '06325', '06327', '06328', '06329', 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'14906', '14907', '14908', '14920', '14923', '14925', '14926', '14927', '14928', '14930', '14932', '14935', '14936', '14937', '14938', '14950', '14952', '14953', '14956', '14957', '14958', '14960', '14962', '14963', '14965', '14967', '14968', '14970', '14972', '14973', '14975', '14976', '14978', '14980', '14982', '14983', '14985', '14986', '14987', '15023', '15024', '15026', '15027', '15028', '15029', '15032', '15034', '15036', '15037', '15038', '15039', '15042', '15043', '15046', '15047', '15048', '15049', '15062', '15063', '15064', '15067', '15068', '15069', '15072', '15073', '15074', '15076', '15078', '15079', '15082', '15083', '15084', '15086', '15087', '15089', '15092', '15093', '15094', '15096', '15097', '15098', '15203', '15204', '15206', '15207', '15208', '15209', '15230', '15234', '15236', '15237', '15238', '15239', '15240', '15243', '15246', '15247', '15248', '15249', '15260', '15263', '15264', '15267', '15268', '15269', '15270', '15273', '15274', '15276', '15278', '15279', 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'15637', '15638', '15639', '15640', '15642', '15643', '15647', '15648', '15649', '15670', '15672', '15673', '15674', '15678', '15679', '15680', '15682', '15683', '15684', '15687', '15689', '15690', '15692', '15693', '15694', '15697', '15698', '15702', '15703', '15704', '15706', '15708', '15709', '15720', '15723', '15724', '15726', '15728', '15729', '15730', '15732', '15734', '15736', '15738', '15739', '15740', '15742', '15743', '15746', '15748', '15749', '15760', '15762', '15763', '15764', '15768', '15769', '15780', '15782', '15783', '15784', '15786', '15789', '15790', '15792', '15793', '15794', '15796', '15798', '15802', '15803', '15804', '15806', '15807', '15809', '15820', '15823', '15824', '15826', '15827', '15829', '15830', '15832', '15834', '15836', '15837', '15839', '15840', '15842', '15843', '15846', '15847', '15849', '15860', '15862', '15863', '15864', '15867', '15869', '15870', '15872', '15873', '15874', '15876', '15879', '15890', '15892', '15893', '15894', '15896', '15897', '15902', '15903', '15904', '15906', '15907', '15908', '15920', '15923', '15924', '15926', '15927', '15928', '15930', '15932', '15934', '15936', '15937', '15938', '15940', '15942', '15943', '15946', '15947', '15948', '15960', '15962', '15963', '15964', '15967', '15968', '15970', '15972', '15973', '15974', '15976', '15978', '15980', '15982', '15983', '15984', '15986', '15987', '16023', '16024', '16025', '16027', '16028', '16029', '16032', '16034', '16035', '16037', '16038', '16039', '16042', '16043', '16045', '16047', '16048', '16049', '16052', '16053', '16054', '16057', '16058', '16059', '16072', '16073', '16074', '16075', '16078', '16079', '16082', '16083', '16084', '16085', '16087', '16089', '16092', '16093', '16094', '16095', '16097', '16098', '16203', '16204', '16205', '16207', '16208', '16209', '16230', '16234', '16235', '16237', '16238', '16239', '16240', '16243', '16245', '16247', '16248', '16249', '16250', '16253', '16254', '16257', '16258', '16259', '16270', '16273', '16274', '16275', '16278', '16279', '16280', '16283', '16284', '16285', '16287', '16289', '16290', '16293', '16294', '16295', '16297', '16298', '16302', '16304', '16305', '16307', '16308', '16309', '16320', '16324', '16325', '16327', '16328', '16329', '16340', '16342', '16345', '16347', '16348', '16349', '16350', '16352', '16354', '16357', '16358', '16359', '16370', '16372', '16374', '16375', '16378', '16379', '16380', '16382', '16384', '16385', '16387', '16389', '16390', '16392', '16394', '16395', '16397', '16398', '16402', '16403', '16405', '16407', '16408', '16409', '16420', '16423', '16425', '16427', '16428', '16429', '16430', '16432', '16435', '16437', '16438', '16439', '16450', '16452', '16453', '16457', '16458', '16459', '16470', '16472', '16473', '16475', '16478', '16479', '16480', '16482', '16483', '16485', '16487', '16489', '16490', '16492', '16493', '16495', '16497', '16498', '16502', '16503', '16504', '16507', '16508', '16509', '16520', '16523', '16524', '16527', '16528', '16529', '16530', '16532', '16534', '16537', '16538', '16539', '16540', '16542', '16543', '16547', '16548', '16549', '16570', '16572', '16573', '16574', '16578', '16579', '16580', '16582', '16583', '16584', '16587', '16589', '16590', '16592', '16593', '16594', '16597', '16598', '16702', '16703', '16704', '16705', '16708', '16709', '16720', '16723', '16724', '16725', '16728', '16729', '16730', '16732', '16734', '16735', '16738', '16739', '16740', '16742', '16743', '16745', '16748', '16749', '16750', '16752', '16753', '16754', '16758', '16759', '16780', '16782', '16783', '16784', '16785', '16789', '16790', '16792', '16793', '16794', '16795', '16798', '16802', '16803', '16804', '16805', '16807', '16809', '16820', '16823', '16824', '16825', '16827', '16829', '16830', '16832', '16834', '16835', '16837', '16839', '16840', '16842', '16843', '16845', '16847', '16849', '16850', '16852', '16853', '16854', '16857', '16859', '16870', '16872', '16873', '16874', '16875', '16879', '16890', '16892', '16893', '16894', '16895', '16897', '16902', '16903', '16904', '16905', '16907', '16908', '16920', '16923', '16924', '16925', '16927', '16928', '16930', '16932', '16934', '16935', '16937', '16938', '16940', '16942', '16943', '16945', '16947', '16948', '16950', '16952', '16953', '16954', '16957', '16958', '16970', '16972', '16973', '16974', '16975', '16978', '16980', '16982', '16983', '16984', '16985', '16987', '17023', '17024', '17025', '17026', '17028', '17029', '17032', '17034', '17035', '17036', '17038', '17039', '17042', '17043', '17045', '17046', '17048', '17049', '17052', '17053', '17054', '17056', '17058', '17059', '17062', '17063', '17064', '17065', '17068', '17069', '17082', '17083', '17084', '17085', '17086', '17089', '17092', '17093', '17094', '17095', '17096', '17098', '17203', '17204', '17205', '17206', '17208', '17209', '17230', '17234', '17235', '17236', '17238', '17239', '17240', '17243', '17245', '17246', '17248', '17249', '17250', '17253', '17254', '17256', '17258', '17259', '17260', '17263', '17264', '17265', '17268', '17269', '17280', '17283', '17284', '17285', '17286', '17289', '17290', '17293', '17294', '17295', '17296', '17298', '17302', '17304', '17305', '17306', '17308', '17309', '17320', '17324', '17325', '17326', '17328', '17329', '17340', '17342', '17345', '17346', '17348', '17349', '17350', '17352', '17354', '17356', '17358', '17359', '17360', '17362', '17364', '17365', '17368', '17369', '17380', '17382', '17384', '17385', '17386', '17389', '17390', '17392', '17394', '17395', '17396', '17398', '17402', '17403', '17405', '17406', '17408', '17409', '17420', '17423', '17425', '17426', '17428', '17429', '17430', '17432', '17435', '17436', '17438', '17439', '17450', '17452', '17453', '17456', '17458', '17459', '17460', '17462', '17463', '17465', '17468', '17469', '17480', '17482', '17483', '17485', '17486', '17489', '17490', '17492', '17493', '17495', '17496', '17498', '17502', '17503', '17504', '17506', '17508', '17509', '17520', '17523', '17524', '17526', '17528', '17529', '17530', '17532', '17534', '17536', '17538', '17539', '17540', '17542', '17543', '17546', '17548', '17549', '17560', '17562', '17563', '17564', '17568', '17569', '17580', '17582', '17583', '17584', '17586', '17589', '17590', '17592', '17593', '17594', '17596', '17598', '17602', '17603', '17604', '17605', '17608', '17609', '17620', '17623', '17624', '17625', '17628', '17629', '17630', '17632', '17634', '17635', '17638', '17639', '17640', '17642', '17643', '17645', '17648', '17649', '17650', '17652', '17653', '17654', '17658', '17659', '17680', '17682', '17683', '17684', '17685', '17689', '17690', '17692', '17693', '17694', '17695', '17698', '17802', '17803', '17804', '17805', '17806', '17809', '17820', '17823', '17824', '17825', '17826', '17829', '17830', '17832', '17834', '17835', '17836', '17839', '17840', '17842', '17843', '17845', '17846', '17849', '17850', '17852', '17853', '17854', '17856', '17859', '17860', '17862', '17863', '17864', '17865', '17869', '17890', '17892', '17893', '17894', '17895', '17896', '17902', '17903', '17904', '17905', '17906', '17908', '17920', '17923', '17924', '17925', '17926', '17928', '17930', '17932', '17934', '17935', '17936', '17938', '17940', '17942', '17943', '17945', '17946', '17948', '17950', '17952', '17953', '17954', '17956', '17958', '17960', '17962', '17963', '17964', '17965', '17968', '17980', '17982', '17983', '17984', '17985', '17986', '18023', '18024', '18025', '18026', '18027', '18029', '18032', '18034', '18035', '18036', '18037', '18039', '18042', '18043', '18045', '18046', '18047', '18049', '18052', '18053', '18054', '18056', '18057', '18059', '18062', '18063', '18064', '18065', '18067', '18069', '18072', '18073', '18074', '18075', '18076', '18079', '18092', '18093', '18094', '18095', '18096', '18097', '18203', '18204', '18205', '18206', '18207', '18209', '18230', '18234', '18235', '18236', '18237', '18239', '18240', '18243', '18245', '18246', '18247', '18249', '18250', '18253', '18254', '18256', '18257', '18259', '18260', '18263', '18264', '18265', '18267', '18269', '18270', '18273', '18274', '18275', '18276', '18279', '18290', '18293', '18294', '18295', '18296', '18297', '18302', '18304', '18305', '18306', '18307', '18309', '18320', '18324', '18325', '18326', '18327', '18329', '18340', '18342', '18345', '18346', '18347', '18349', '18350', '18352', '18354', '18356', '18357', '18359', '18360', '18362', '18364', '18365', '18367', '18369', '18370', '18372', '18374', '18375', '18376', '18379', '18390', '18392', '18394', '18395', '18396', '18397', '18402', '18403', '18405', '18406', '18407', '18409', '18420', '18423', '18425', '18426', '18427', '18429', '18430', '18432', '18435', '18436', '18437', '18439', '18450', '18452', '18453', '18456', '18457', '18459', '18460', '18462', '18463', '18465', '18467', '18469', '18470', '18472', '18473', '18475', '18476', '18479', '18490', '18492', '18493', '18495', '18496', '18497', '18502', '18503', '18504', '18506', '18507', '18509', '18520', '18523', '18524', '18526', '18527', '18529', '18530', '18532', '18534', '18536', '18537', '18539', '18540', '18542', '18543', '18546', '18547', '18549', '18560', '18562', '18563', '18564', '18567', '18569', '18570', '18572', '18573', '18574', '18576', '18579', '18590', '18592', '18593', '18594', '18596', '18597', '18602', '18603', '18604', '18605', '18607', '18609', '18620', '18623', '18624', '18625', '18627', '18629', '18630', '18632', '18634', '18635', '18637', '18639', '18640', '18642', '18643', '18645', '18647', '18649', '18650', '18652', '18653', '18654', '18657', '18659', '18670', '18672', '18673', '18674', '18675', '18679', '18690', '18692', '18693', '18694', '18695', '18697', '18702', '18703', '18704', '18705', '18706', '18709', '18720', '18723', '18724', '18725', '18726', '18729', '18730', '18732', '18734', '18735', '18736', '18739', '18740', '18742', '18743', '18745', '18746', '18749', '18750', '18752', '18753', '18754', '18756', '18759', '18760', '18762', '18763', '18764', '18765', '18769', '18790', '18792', '18793', '18794', '18795', '18796', '18902', '18903', '18904', '18905', '18906', '18907', '18920', '18923', '18924', '18925', '18926', '18927', '18930', '18932', '18934', '18935', '18936', '18937', '18940', '18942', '18943', '18945', '18946', '18947', '18950', '18952', '18953', '18954', '18956', '18957', '18960', '18962', '18963', '18964', '18965', '18967', '18970', '18972', '18973', '18974', '18975', '18976', '19023', '19024', '19025', '19026', '19027', '19028', '19032', '19034', '19035', '19036', '19037', '19038', '19042', '19043', '19045', '19046', '19047', '19048', '19052', '19053', '19054', '19056', '19057', '19058', '19062', '19063', '19064', '19065', '19067', '19068', '19072', '19073', '19074', '19075', '19076', '19078', '19082', '19083', '19084', '19085', '19086', '19087', '19203', '19204', '19205', '19206', '19207', '19208', '19230', '19234', '19235', '19236', '19237', '19238', '19240', '19243', '19245', '19246', '19247', '19248', '19250', '19253', '19254', '19256', '19257', '19258', '19260', '19263', '19264', '19265', '19267', '19268', '19270', '19273', '19274', '19275', '19276', '19278', '19280', '19283', '19284', '19285', '19286', '19287', '19302', '19304', '19305', '19306', '19307', '19308', '19320', '19324', '19325', '19326', '19327', '19328', '19340', '19342', '19345', '19346', '19347', '19348', '19350', '19352', '19354', '19356', '19357', '19358', '19360', '19362', '19364', '19365', '19367', '19368', '19370', '19372', '19374', '19375', '19376', '19378', '19380', '19382', '19384', '19385', '19386', '19387', '19402', '19403', '19405', '19406', '19407', '19408', '19420', '19423', '19425', '19426', '19427', '19428', '19430', '19432', '19435', '19436', '19437', '19438', '19450', '19452', '19453', '19456', '19457', '19458', '19460', '19462', '19463', '19465', '19467', '19468', '19470', '19472', '19473', '19475', '19476', '19478', '19480', '19482', '19483', '19485', '19486', '19487', '19502', '19503', '19504', '19506', '19507', '19508', '19520', '19523', '19524', '19526', '19527', '19528', '19530', '19532', '19534', '19536', '19537', '19538', '19540', '19542', '19543', '19546', '19547', '19548', '19560', '19562', '19563', '19564', '19567', '19568', '19570', '19572', '19573', '19574', '19576', '19578', '19580', '19582', '19583', '19584', '19586', '19587', '19602', '19603', '19604', '19605', '19607', '19608', '19620', '19623', '19624', '19625', '19627', '19628', '19630', '19632', '19634', '19635', '19637', '19638', '19640', '19642', '19643', '19645', '19647', '19648', '19650', '19652', '19653', '19654', '19657', '19658', '19670', '19672', '19673', '19674', '19675', '19678', '19680', '19682', '19683', '19684', '19685', '19687', '19702', '19703', '19704', '19705', '19706', '19708', '19720', '19723', '19724', '19725', '19726', '19728', '19730', '19732', '19734', '19735', '19736', '19738', '19740', '19742', '19743', '19745', '19746', '19748', '19750', '19752', '19753', '19754', '19756', '19758', '19760', '19762', '19763', '19764', '19765', '19768', '19780', '19782', '19783', '19784', '19785', '19786', '19802', '19803', '19804', '19805', '19806', '19807', '19820', '19823', '19824', '19825', '19826', '19827', '19830', '19832', '19834', '19835', '19836', '19837', '19840', '19842', '19843', '19845', '19846', '19847', '19850', '19852', '19853', '19854', '19856', '19857', '19860', '19862', '19863', '19864', '19865', '19867', '19870', '19872', '19873', '19874', '19875', '19876', '20134', '20135', '20136', '20137', '20138', '20139', '20143', '20145', '20146', '20147', '20148', '20149', '20153', '20154', '20156', '20157', '20158', '20159', '20163', '20164', '20165', '20167', '20168', '20169', '20173', '20174', '20175', '20176', '20178', '20179', '20183', '20184', '20185', '20186', '20187', '20189', '20193', '20194', '20195', '20196', '20197', '20198', '20314', '20315', '20316', '20317', '20318', '20319', '20341', '20345', '20346', '20347', '20348', '20349', '20351', '20354', '20356', '20357', '20358', '20359', '20361', '20364', '20365', '20367', '20368', '20369', '20371', '20374', '20375', '20376', '20378', '20379', '20381', '20384', '20385', '20386', '20387', '20389', '20391', '20394', '20395', '20396', '20397', '20398', '20413', '20415', '20416', '20417', '20418', '20419', '20431', '20435', '20436', '20437', '20438', '20439', '20451', '20453', '20456', '20457', '20458', '20459', '20461', '20463', '20465', '20467', '20468', '20469', '20471', '20473', '20475', '20476', '20478', '20479', '20481', '20483', '20485', '20486', '20487', '20489', '20491', '20493', '20495', '20496', '20497', '20498', '20513', '20514', '20516', '20517', '20518', '20519', '20531', '20534', '20536', '20537', '20538', '20539', '20541', '20543', '20546', '20547', '20548', '20549', '20561', '20563', '20564', '20567', '20568', '20569', '20571', '20573', '20574', '20576', '20578', '20579', '20581', '20583', '20584', '20586', '20587', '20589', '20591', '20593', '20594', '20596', '20597', '20598', '20613', '20614', '20615', '20617', '20618', '20619', '20631', '20634', '20635', '20637', '20638', '20639', '20641', '20643', '20645', '20647', '20648', '20649', '20651', '20653', '20654', '20657', '20658', '20659', '20671', '20673', '20674', '20675', '20678', '20679', '20681', '20683', '20684', '20685', '20687', '20689', '20691', '20693', '20694', '20695', '20697', '20698', '20713', '20714', '20715', '20716', '20718', '20719', '20731', '20734', '20735', '20736', '20738', '20739', '20741', '20743', '20745', '20746', '20748', '20749', '20751', '20753', '20754', '20756', '20758', '20759', '20761', '20763', '20764', '20765', '20768', '20769', '20781', '20783', '20784', '20785', '20786', '20789', '20791', '20793', '20794', '20795', '20796', '20798', '20813', '20814', '20815', '20816', '20817', '20819', '20831', '20834', '20835', '20836', '20837', '20839', '20841', '20843', '20845', '20846', '20847', '20849', '20851', '20853', '20854', '20856', '20857', '20859', '20861', '20863', '20864', '20865', '20867', '20869', '20871', '20873', '20874', '20875', '20876', '20879', '20891', '20893', '20894', '20895', '20896', '20897', '20913', '20914', '20915', '20916', '20917', '20918', '20931', '20934', '20935', '20936', '20937', '20938', '20941', '20943', '20945', '20946', '20947', '20948', '20951', '20953', '20954', '20956', '20957', '20958', '20961', '20963', '20964', '20965', '20967', '20968', '20971', '20973', '20974', '20975', '20976', '20978', '20981', '20983', '20984', '20985', '20986', '20987', '21034', '21035', '21036', '21037', '21038', '21039', '21043', '21045', '21046', '21047', '21048', '21049', '21053', '21054', '21056', '21057', '21058', '21059', '21063', '21064', '21065', '21067', '21068', '21069', '21073', '21074', '21075', '21076', '21078', '21079', '21083', '21084', '21085', '21086', '21087', '21089', '21093', '21094', '21095', '21096', '21097', '21098', '21304', '21305', '21306', '21307', '21308', '21309', '21340', '21345', '21346', '21347', '21348', '21349', '21350', '21354', '21356', '21357', '21358', '21359', '21360', '21364', '21365', '21367', '21368', '21369', '21370', '21374', '21375', '21376', '21378', '21379', '21380', '21384', '21385', '21386', '21387', '21389', '21390', '21394', '21395', '21396', '21397', '21398', '21403', '21405', '21406', '21407', '21408', '21409', '21430', '21435', '21436', '21437', '21438', '21439', '21450', '21453', '21456', '21457', '21458', '21459', '21460', '21463', '21465', '21467', '21468', '21469', '21470', '21473', '21475', '21476', '21478', '21479', '21480', '21483', '21485', '21486', '21487', '21489', '21490', '21493', '21495', '21496', '21497', '21498', '21503', '21504', '21506', '21507', '21508', '21509', '21530', '21534', '21536', '21537', '21538', '21539', '21540', '21543', '21546', '21547', '21548', '21549', '21560', '21563', '21564', '21567', '21568', '21569', '21570', '21573', '21574', '21576', '21578', '21579', '21580', '21583', '21584', '21586', '21587', '21589', '21590', '21593', '21594', '21596', '21597', '21598', '21603', '21604', '21605', '21607', '21608', '21609', '21630', '21634', '21635', '21637', '21638', '21639', '21640', '21643', '21645', '21647', '21648', '21649', '21650', '21653', '21654', '21657', '21658', '21659', '21670', '21673', '21674', '21675', '21678', '21679', '21680', '21683', '21684', '21685', '21687', '21689', '21690', '21693', '21694', '21695', '21697', '21698', '21703', '21704', '21705', '21706', '21708', '21709', '21730', '21734', '21735', '21736', '21738', '21739', '21740', '21743', '21745', '21746', '21748', '21749', '21750', '21753', '21754', '21756', '21758', '21759', '21760', '21763', '21764', '21765', '21768', '21769', '21780', '21783', '21784', '21785', '21786', '21789', '21790', '21793', '21794', '21795', '21796', '21798', '21803', '21804', '21805', '21806', '21807', '21809', '21830', '21834', '21835', '21836', '21837', '21839', '21840', '21843', '21845', '21846', '21847', '21849', '21850', '21853', '21854', '21856', '21857', '21859', '21860', '21863', '21864', '21865', '21867', '21869', '21870', '21873', '21874', '21875', '21876', '21879', '21890', '21893', '21894', '21895', '21896', '21897', '21903', '21904', '21905', '21906', '21907', '21908', '21930', '21934', '21935', '21936', '21937', '21938', '21940', '21943', '21945', '21946', '21947', '21948', '21950', '21953', '21954', '21956', '21957', '21958', '21960', '21963', '21964', '21965', '21967', '21968', '21970', '21973', '21974', '21975', '21976', '21978', '21980', '21983', '21984', '21985', '21986', '21987', '23014', '23015', '23016', '23017', '23018', '23019', '23041', '23045', '23046', '23047', '23048', '23049', '23051', '23054', '23056', '23057', '23058', '23059', '23061', '23064', '23065', '23067', '23068', '23069', '23071', '23074', '23075', '23076', '23078', '23079', '23081', '23084', '23085', '23086', '23087', '23089', '23091', '23094', '23095', '23096', '23097', '23098', '23104', '23105', '23106', '23107', '23108', '23109', '23140', '23145', '23146', '23147', '23148', '23149', '23150', '23154', '23156', '23157', '23158', '23159', '23160', '23164', '23165', '23167', '23168', '23169', '23170', '23174', '23175', '23176', '23178', '23179', '23180', '23184', '23185', '23186', '23187', '23189', '23190', '23194', '23195', '23196', '23197', '23198', '23401', '23405', '23406', '23407', '23408', '23409', '23410', '23415', '23416', '23417', '23418', '23419', '23450', '23451', '23456', '23457', '23458', '23459', '23460', '23461', '23465', '23467', '23468', '23469', '23470', '23471', '23475', '23476', '23478', '23479', '23480', '23481', '23485', '23486', '23487', '23489', '23490', '23491', '23495', '23496', '23497', '23498', '23501', '23504', '23506', '23507', '23508', '23509', '23510', '23514', '23516', '23517', '23518', '23519', '23540', '23541', '23546', '23547', '23548', '23549', '23560', '23561', '23564', '23567', '23568', '23569', '23570', '23571', '23574', '23576', '23578', '23579', '23580', '23581', '23584', '23586', '23587', '23589', '23590', '23591', '23594', '23596', '23597', '23598', '23601', '23604', '23605', '23607', '23608', '23609', '23610', '23614', '23615', '23617', '23618', '23619', '23640', '23641', '23645', '23647', '23648', '23649', '23650', '23651', '23654', '23657', '23658', '23659', '23670', '23671', '23674', '23675', '23678', '23679', '23680', '23681', '23684', '23685', '23687', '23689', '23690', '23691', '23694', '23695', '23697', '23698', '23701', '23704', '23705', '23706', '23708', '23709', '23710', '23714', '23715', '23716', '23718', '23719', '23740', '23741', '23745', '23746', '23748', '23749', '23750', '23751', '23754', '23756', '23758', '23759', '23760', '23761', '23764', '23765', '23768', '23769', '23780', '23781', '23784', '23785', '23786', '23789', '23790', '23791', '23794', '23795', '23796', '23798', '23801', '23804', '23805', '23806', '23807', '23809', '23810', '23814', '23815', '23816', '23817', '23819', '23840', '23841', '23845', '23846', '23847', '23849', '23850', '23851', '23854', '23856', '23857', '23859', '23860', '23861', '23864', '23865', '23867', '23869', '23870', '23871', '23874', '23875', '23876', '23879', '23890', '23891', '23894', '23895', '23896', '23897', '23901', '23904', '23905', '23906', '23907', '23908', '23910', '23914', '23915', '23916', '23917', '23918', '23940', '23941', '23945', '23946', '23947', '23948', '23950', '23951', '23954', '23956', '23957', '23958', '23960', '23961', '23964', '23965', '23967', '23968', '23970', '23971', '23974', '23975', '23976', '23978', '23980', '23981', '23984', '23985', '23986', '23987', '24013', '24015', '24016', '24017', '24018', '24019', '24031', '24035', '24036', '24037', '24038', '24039', '24051', '24053', '24056', '24057', '24058', '24059', '24061', '24063', '24065', '24067', '24068', '24069', '24071', '24073', '24075', '24076', '24078', '24079', '24081', '24083', '24085', '24086', '24087', '24089', '24091', '24093', '24095', '24096', '24097', '24098', '24103', '24105', '24106', '24107', '24108', '24109', '24130', '24135', '24136', '24137', '24138', '24139', '24150', '24153', '24156', '24157', '24158', '24159', '24160', '24163', '24165', '24167', '24168', '24169', '24170', '24173', '24175', '24176', '24178', '24179', '24180', '24183', '24185', '24186', '24187', '24189', '24190', '24193', '24195', '24196', '24197', '24198', '24301', '24305', '24306', '24307', '24308', '24309', '24310', '24315', '24316', '24317', '24318', '24319', '24350', '24351', '24356', '24357', '24358', '24359', '24360', '24361', '24365', '24367', '24368', '24369', '24370', '24371', '24375', '24376', '24378', '24379', '24380', '24381', '24385', '24386', '24387', '24389', '24390', '24391', '24395', '24396', '24397', '24398', '24501', '24503', '24506', '24507', '24508', '24509', '24510', '24513', '24516', '24517', '24518', '24519', '24530', '24531', '24536', '24537', '24538', '24539', '24560', '24561', '24563', '24567', '24568', '24569', '24570', '24571', '24573', '24576', '24578', '24579', '24580', '24581', '24583', '24586', '24587', '24589', '24590', '24591', '24593', '24596', '24597', '24598', '24601', '24603', '24605', '24607', '24608', '24609', '24610', '24613', '24615', '24617', '24618', '24619', '24630', '24631', '24635', '24637', '24638', '24639', '24650', '24651', '24653', '24657', '24658', '24659', '24670', '24671', '24673', '24675', '24678', '24679', '24680', '24681', '24683', '24685', '24687', '24689', '24690', '24691', '24693', '24695', '24697', '24698', '24701', '24703', '24705', '24706', '24708', '24709', '24710', '24713', '24715', '24716', '24718', '24719', '24730', '24731', '24735', '24736', '24738', '24739', '24750', '24751', '24753', '24756', '24758', '24759', '24760', '24761', '24763', '24765', '24768', '24769', '24780', '24781', '24783', '24785', '24786', '24789', '24790', '24791', '24793', '24795', '24796', '24798', '24801', '24803', '24805', '24806', '24807', '24809', '24810', '24813', '24815', '24816', '24817', '24819', '24830', '24831', '24835', '24836', '24837', '24839', '24850', '24851', '24853', '24856', '24857', '24859', '24860', '24861', '24863', '24865', '24867', '24869', '24870', '24871', '24873', '24875', '24876', '24879', '24890', '24891', '24893', '24895', '24896', '24897', '24901', '24903', '24905', '24906', '24907', '24908', '24910', '24913', '24915', '24916', '24917', '24918', '24930', '24931', '24935', '24936', '24937', '24938', '24950', '24951', '24953', '24956', '24957', '24958', '24960', '24961', '24963', '24965', '24967', '24968', '24970', '24971', '24973', '24975', '24976', '24978', '24980', '24981', '24983', '24985', '24986', '24987', '25013', '25014', '25016', '25017', '25018', '25019', '25031', '25034', '25036', '25037', '25038', '25039', '25041', '25043', '25046', '25047', '25048', '25049', '25061', '25063', '25064', '25067', '25068', '25069', '25071', '25073', '25074', '25076', '25078', '25079', '25081', '25083', '25084', '25086', '25087', '25089', '25091', '25093', '25094', '25096', '25097', '25098', '25103', '25104', '25106', '25107', '25108', '25109', '25130', '25134', '25136', '25137', '25138', '25139', '25140', '25143', '25146', '25147', '25148', '25149', '25160', '25163', '25164', '25167', '25168', '25169', '25170', '25173', '25174', '25176', '25178', '25179', '25180', '25183', '25184', '25186', '25187', '25189', '25190', '25193', '25194', '25196', '25197', '25198', '25301', '25304', '25306', '25307', '25308', '25309', '25310', '25314', '25316', '25317', '25318', '25319', '25340', '25341', '25346', '25347', '25348', '25349', '25360', '25361', '25364', '25367', '25368', '25369', '25370', '25371', '25374', '25376', '25378', '25379', '25380', '25381', '25384', '25386', '25387', '25389', '25390', '25391', '25394', '25396', '25397', '25398', '25401', '25403', '25406', '25407', '25408', '25409', '25410', '25413', '25416', '25417', '25418', '25419', '25430', '25431', '25436', '25437', '25438', '25439', '25460', '25461', '25463', '25467', '25468', '25469', '25470', '25471', '25473', '25476', '25478', '25479', '25480', '25481', '25483', '25486', '25487', '25489', '25490', '25491', '25493', '25496', '25497', '25498', '25601', '25603', '25604', '25607', '25608', '25609', '25610', '25613', '25614', '25617', '25618', '25619', '25630', '25631', '25634', '25637', '25638', '25639', '25640', '25641', '25643', '25647', '25648', '25649', '25670', '25671', '25673', '25674', '25678', '25679', '25680', '25681', '25683', '25684', '25687', '25689', '25690', '25691', '25693', '25694', '25697', '25698', '25701', '25703', '25704', '25706', '25708', '25709', '25710', '25713', '25714', '25716', '25718', '25719', '25730', '25731', '25734', '25736', '25738', '25739', '25740', '25741', '25743', '25746', '25748', '25749', '25760', '25761', '25763', '25764', '25768', '25769', '25780', '25781', '25783', '25784', '25786', '25789', '25790', '25791', '25793', '25794', '25796', '25798', '25801', '25803', '25804', '25806', '25807', '25809', '25810', '25813', '25814', '25816', '25817', '25819', '25830', '25831', '25834', '25836', '25837', '25839', '25840', '25841', '25843', '25846', '25847', '25849', '25860', '25861', '25863', '25864', '25867', '25869', '25870', '25871', '25873', '25874', '25876', '25879', '25890', '25891', '25893', '25894', '25896', '25897', '25901', '25903', '25904', '25906', '25907', '25908', '25910', '25913', '25914', '25916', '25917', '25918', '25930', '25931', '25934', '25936', '25937', '25938', '25940', '25941', '25943', '25946', '25947', '25948', '25960', '25961', '25963', '25964', '25967', '25968', '25970', '25971', '25973', '25974', '25976', '25978', '25980', '25981', '25983', '25984', '25986', '25987', '26013', '26014', '26015', '26017', '26018', '26019', '26031', '26034', '26035', '26037', '26038', '26039', '26041', '26043', '26045', '26047', '26048', '26049', '26051', '26053', '26054', '26057', '26058', '26059', '26071', '26073', '26074', '26075', '26078', '26079', '26081', '26083', '26084', '26085', '26087', '26089', '26091', '26093', '26094', '26095', '26097', '26098', '26103', '26104', '26105', '26107', '26108', '26109', '26130', '26134', '26135', '26137', '26138', '26139', '26140', '26143', '26145', '26147', '26148', '26149', '26150', '26153', '26154', '26157', '26158', '26159', '26170', '26173', '26174', '26175', '26178', '26179', '26180', '26183', '26184', '26185', '26187', '26189', '26190', '26193', '26194', '26195', '26197', '26198', '26301', '26304', '26305', '26307', '26308', '26309', '26310', '26314', '26315', '26317', '26318', '26319', '26340', '26341', '26345', '26347', '26348', '26349', '26350', '26351', '26354', '26357', '26358', '26359', '26370', '26371', '26374', '26375', '26378', '26379', '26380', '26381', '26384', '26385', '26387', '26389', '26390', '26391', '26394', '26395', '26397', '26398', '26401', '26403', '26405', '26407', '26408', '26409', '26410', '26413', '26415', '26417', '26418', '26419', '26430', '26431', '26435', '26437', '26438', '26439', '26450', '26451', '26453', '26457', '26458', '26459', '26470', '26471', '26473', '26475', '26478', '26479', '26480', '26481', '26483', '26485', '26487', '26489', '26490', '26491', '26493', '26495', '26497', '26498', '26501', '26503', '26504', '26507', '26508', '26509', '26510', '26513', '26514', '26517', '26518', '26519', '26530', '26531', '26534', '26537', '26538', '26539', '26540', '26541', '26543', '26547', '26548', '26549', '26570', '26571', '26573', '26574', '26578', '26579', '26580', '26581', '26583', '26584', '26587', '26589', '26590', '26591', '26593', '26594', '26597', '26598', '26701', '26703', '26704', '26705', '26708', '26709', '26710', '26713', '26714', '26715', '26718', '26719', '26730', '26731', '26734', '26735', '26738', '26739', '26740', '26741', '26743', '26745', '26748', '26749', '26750', '26751', '26753', '26754', '26758', '26759', '26780', '26781', '26783', '26784', '26785', '26789', '26790', '26791', '26793', '26794', '26795', '26798', '26801', '26803', '26804', '26805', '26807', '26809', '26810', '26813', '26814', '26815', '26817', '26819', '26830', '26831', '26834', '26835', '26837', '26839', '26840', '26841', '26843', '26845', '26847', '26849', '26850', '26851', '26853', '26854', '26857', '26859', '26870', '26871', '26873', '26874', '26875', '26879', '26890', '26891', '26893', '26894', '26895', '26897', '26901', '26903', '26904', '26905', '26907', '26908', '26910', '26913', '26914', '26915', '26917', '26918', '26930', '26931', '26934', '26935', '26937', '26938', '26940', '26941', '26943', '26945', '26947', '26948', '26950', '26951', '26953', '26954', '26957', '26958', '26970', '26971', '26973', '26974', '26975', '26978', '26980', '26981', '26983', '26984', '26985', '26987', '27013', '27014', '27015', '27016', '27018', '27019', '27031', '27034', '27035', '27036', '27038', '27039', '27041', '27043', '27045', '27046', '27048', '27049', '27051', '27053', '27054', '27056', '27058', '27059', '27061', '27063', '27064', '27065', '27068', '27069', '27081', '27083', '27084', '27085', '27086', '27089', '27091', '27093', '27094', '27095', '27096', '27098', '27103', '27104', '27105', '27106', '27108', '27109', '27130', '27134', '27135', '27136', '27138', '27139', '27140', '27143', '27145', '27146', '27148', '27149', '27150', '27153', '27154', '27156', '27158', '27159', '27160', '27163', '27164', '27165', '27168', '27169', '27180', '27183', '27184', '27185', '27186', '27189', '27190', '27193', '27194', '27195', '27196', '27198', '27301', '27304', '27305', '27306', '27308', '27309', '27310', '27314', '27315', '27316', '27318', '27319', '27340', '27341', '27345', '27346', '27348', '27349', '27350', '27351', '27354', '27356', '27358', '27359', '27360', '27361', '27364', '27365', '27368', '27369', '27380', '27381', '27384', '27385', '27386', '27389', '27390', '27391', '27394', '27395', '27396', '27398', '27401', '27403', '27405', '27406', '27408', '27409', '27410', '27413', '27415', '27416', '27418', '27419', '27430', '27431', '27435', '27436', '27438', '27439', '27450', '27451', '27453', '27456', '27458', '27459', '27460', '27461', '27463', '27465', '27468', '27469', '27480', '27481', '27483', '27485', '27486', '27489', '27490', '27491', '27493', '27495', '27496', '27498', '27501', '27503', '27504', '27506', '27508', '27509', '27510', '27513', '27514', '27516', '27518', '27519', '27530', '27531', '27534', '27536', '27538', '27539', '27540', '27541', '27543', '27546', '27548', '27549', '27560', '27561', '27563', '27564', '27568', '27569', '27580', '27581', '27583', '27584', '27586', '27589', '27590', '27591', '27593', '27594', '27596', '27598', '27601', '27603', '27604', '27605', '27608', '27609', '27610', '27613', '27614', '27615', '27618', '27619', '27630', '27631', '27634', '27635', '27638', '27639', '27640', '27641', '27643', '27645', '27648', '27649', '27650', '27651', '27653', '27654', '27658', '27659', '27680', '27681', '27683', '27684', '27685', '27689', '27690', '27691', '27693', '27694', '27695', '27698', '27801', '27803', '27804', '27805', '27806', '27809', '27810', '27813', '27814', '27815', '27816', '27819', '27830', '27831', '27834', '27835', '27836', '27839', '27840', '27841', '27843', '27845', '27846', '27849', '27850', '27851', '27853', '27854', '27856', '27859', '27860', '27861', '27863', '27864', '27865', '27869', '27890', '27891', '27893', '27894', '27895', '27896', '27901', '27903', '27904', '27905', '27906', '27908', '27910', '27913', '27914', '27915', '27916', '27918', '27930', '27931', '27934', '27935', '27936', '27938', '27940', '27941', '27943', '27945', '27946', '27948', '27950', '27951', '27953', '27954', '27956', '27958', '27960', '27961', '27963', '27964', '27965', '27968', '27980', '27981', '27983', '27984', '27985', '27986', '28013', '28014', '28015', '28016', '28017', '28019', '28031', '28034', '28035', '28036', '28037', '28039', '28041', '28043', '28045', '28046', '28047', '28049', '28051', '28053', '28054', '28056', '28057', '28059', '28061', '28063', '28064', '28065', '28067', '28069', '28071', '28073', '28074', '28075', '28076', '28079', '28091', '28093', '28094', '28095', '28096', '28097', '28103', '28104', '28105', '28106', '28107', '28109', '28130', '28134', '28135', '28136', '28137', '28139', '28140', '28143', '28145', '28146', '28147', '28149', '28150', '28153', '28154', '28156', '28157', '28159', '28160', '28163', '28164', '28165', '28167', '28169', '28170', '28173', '28174', '28175', '28176', '28179', '28190', '28193', '28194', '28195', '28196', '28197', '28301', '28304', '28305', '28306', '28307', '28309', '28310', '28314', '28315', '28316', '28317', '28319', '28340', '28341', '28345', '28346', '28347', '28349', '28350', '28351', '28354', '28356', '28357', '28359', '28360', '28361', '28364', '28365', '28367', '28369', '28370', '28371', '28374', '28375', '28376', '28379', '28390', '28391', '28394', '28395', '28396', '28397', '28401', '28403', '28405', '28406', '28407', '28409', '28410', '28413', '28415', '28416', '28417', '28419', '28430', '28431', '28435', '28436', '28437', '28439', '28450', '28451', '28453', '28456', '28457', '28459', '28460', '28461', '28463', '28465', '28467', '28469', '28470', '28471', '28473', '28475', '28476', '28479', '28490', '28491', '28493', '28495', '28496', '28497', '28501', '28503', '28504', '28506', '28507', '28509', '28510', '28513', '28514', '28516', '28517', '28519', '28530', '28531', '28534', '28536', '28537', '28539', '28540', '28541', '28543', '28546', '28547', '28549', '28560', '28561', '28563', '28564', '28567', '28569', '28570', '28571', '28573', '28574', '28576', '28579', '28590', '28591', '28593', '28594', '28596', '28597', '28601', '28603', '28604', '28605', '28607', '28609', '28610', '28613', '28614', '28615', '28617', '28619', '28630', '28631', '28634', '28635', '28637', '28639', '28640', '28641', '28643', '28645', '28647', '28649', '28650', '28651', '28653', '28654', '28657', '28659', '28670', '28671', '28673', '28674', '28675', '28679', '28690', '28691', '28693', '28694', '28695', '28697', '28701', '28703', '28704', '28705', '28706', '28709', '28710', '28713', '28714', '28715', '28716', '28719', '28730', '28731', '28734', '28735', '28736', '28739', '28740', '28741', '28743', '28745', '28746', '28749', '28750', '28751', '28753', '28754', '28756', '28759', '28760', '28761', '28763', '28764', '28765', '28769', '28790', '28791', '28793', '28794', '28795', '28796', '28901', '28903', '28904', '28905', '28906', '28907', '28910', '28913', '28914', '28915', '28916', '28917', '28930', '28931', '28934', '28935', '28936', '28937', '28940', '28941', '28943', '28945', '28946', '28947', '28950', '28951', '28953', '28954', '28956', '28957', '28960', '28961', '28963', '28964', '28965', '28967', '28970', '28971', '28973', '28974', '28975', '28976', '29013', '29014', '29015', '29016', '29017', '29018', '29031', '29034', '29035', '29036', '29037', '29038', '29041', '29043', '29045', '29046', '29047', '29048', '29051', '29053', '29054', '29056', '29057', '29058', '29061', '29063', '29064', '29065', '29067', '29068', '29071', '29073', '29074', '29075', '29076', '29078', '29081', '29083', '29084', '29085', '29086', '29087', '29103', '29104', '29105', '29106', '29107', '29108', '29130', '29134', '29135', '29136', '29137', '29138', '29140', '29143', '29145', '29146', '29147', '29148', '29150', '29153', '29154', '29156', '29157', '29158', '29160', '29163', '29164', '29165', '29167', '29168', '29170', '29173', '29174', '29175', '29176', '29178', '29180', '29183', '29184', '29185', '29186', '29187', '29301', '29304', '29305', '29306', '29307', '29308', '29310', '29314', '29315', '29316', '29317', '29318', '29340', '29341', '29345', '29346', '29347', '29348', '29350', '29351', '29354', '29356', '29357', '29358', '29360', '29361', '29364', '29365', '29367', '29368', '29370', '29371', '29374', '29375', '29376', '29378', '29380', '29381', '29384', '29385', '29386', '29387', '29401', '29403', '29405', '29406', '29407', '29408', '29410', '29413', '29415', '29416', '29417', '29418', '29430', '29431', '29435', '29436', '29437', '29438', 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'50936', '50937', '50938', '50941', '50942', '50943', '50946', '50947', '50948', '50961', '50962', '50963', '50964', '50967', '50968', '50971', '50972', '50973', '50974', '50976', '50978', '50981', '50982', '50983', '50984', '50986', '50987', '51023', '51024', '51026', '51027', '51028', '51029', '51032', '51034', '51036', '51037', '51038', '51039', '51042', '51043', '51046', '51047', '51048', '51049', '51062', '51063', '51064', '51067', '51068', '51069', '51072', '51073', '51074', '51076', '51078', '51079', '51082', '51083', '51084', '51086', '51087', '51089', '51092', '51093', '51094', '51096', '51097', '51098', '51203', '51204', '51206', '51207', '51208', '51209', '51230', '51234', '51236', '51237', '51238', '51239', '51240', '51243', '51246', '51247', '51248', '51249', '51260', '51263', '51264', '51267', '51268', '51269', '51270', '51273', '51274', '51276', '51278', '51279', '51280', '51283', '51284', '51286', '51287', '51289', '51290', '51293', '51294', '51296', '51297', '51298', '51302', '51304', '51306', '51307', '51308', '51309', '51320', '51324', '51326', '51327', '51328', '51329', '51340', '51342', '51346', '51347', '51348', '51349', '51360', '51362', '51364', '51367', '51368', '51369', '51370', '51372', '51374', '51376', '51378', '51379', '51380', '51382', '51384', '51386', '51387', '51389', '51390', '51392', '51394', '51396', '51397', '51398', '51402', '51403', '51406', '51407', '51408', '51409', '51420', '51423', '51426', '51427', '51428', '51429', '51430', '51432', '51436', '51437', '51438', '51439', '51460', '51462', '51463', '51467', '51468', '51469', '51470', '51472', '51473', '51476', '51478', '51479', '51480', '51482', '51483', '51486', '51487', '51489', '51490', '51492', '51493', '51496', '51497', '51498', '51602', '51603', '51604', '51607', '51608', '51609', '51620', '51623', '51624', '51627', '51628', '51629', '51630', '51632', '51634', '51637', '51638', '51639', '51640', '51642', '51643', '51647', '51648', '51649', '51670', '51672', '51673', '51674', '51678', '51679', '51680', '51682', '51683', '51684', '51687', '51689', '51690', '51692', '51693', '51694', '51697', '51698', '51702', '51703', '51704', '51706', '51708', '51709', '51720', '51723', '51724', '51726', '51728', '51729', '51730', '51732', '51734', '51736', '51738', '51739', '51740', '51742', '51743', '51746', '51748', '51749', '51760', '51762', '51763', '51764', '51768', '51769', '51780', '51782', '51783', '51784', '51786', '51789', '51790', '51792', '51793', '51794', '51796', '51798', '51802', '51803', '51804', '51806', '51807', '51809', '51820', '51823', '51824', '51826', '51827', '51829', '51830', '51832', '51834', '51836', '51837', '51839', '51840', '51842', '51843', '51846', '51847', '51849', '51860', '51862', '51863', '51864', '51867', '51869', '51870', '51872', '51873', '51874', '51876', '51879', '51890', '51892', '51893', '51894', '51896', '51897', '51902', '51903', '51904', '51906', '51907', '51908', '51920', '51923', '51924', '51926', '51927', '51928', '51930', '51932', '51934', '51936', '51937', '51938', '51940', '51942', '51943', '51946', '51947', '51948', '51960', '51962', '51963', '51964', '51967', '51968', '51970', '51972', '51973', '51974', '51976', '51978', '51980', '51982', '51983', '51984', '51986', '51987', '52013', '52014', '52016', '52017', '52018', '52019', '52031', '52034', '52036', '52037', '52038', '52039', '52041', '52043', '52046', '52047', '52048', '52049', '52061', '52063', '52064', '52067', '52068', '52069', '52071', '52073', '52074', '52076', '52078', '52079', '52081', '52083', '52084', '52086', '52087', '52089', '52091', '52093', '52094', '52096', '52097', '52098', '52103', '52104', '52106', '52107', '52108', '52109', '52130', '52134', '52136', '52137', '52138', '52139', '52140', '52143', '52146', '52147', '52148', '52149', '52160', '52163', '52164', '52167', '52168', '52169', '52170', '52173', '52174', '52176', '52178', '52179', '52180', '52183', '52184', '52186', '52187', '52189', '52190', '52193', '52194', '52196', '52197', '52198', '52301', '52304', '52306', '52307', '52308', '52309', '52310', '52314', '52316', '52317', '52318', '52319', '52340', '52341', '52346', '52347', '52348', '52349', '52360', '52361', '52364', '52367', '52368', '52369', '52370', '52371', '52374', '52376', '52378', '52379', '52380', '52381', '52384', '52386', '52387', '52389', '52390', '52391', '52394', '52396', '52397', '52398', '52401', '52403', '52406', '52407', '52408', '52409', '52410', '52413', '52416', '52417', '52418', '52419', '52430', '52431', '52436', '52437', '52438', '52439', '52460', '52461', '52463', '52467', '52468', '52469', '52470', '52471', '52473', '52476', '52478', '52479', '52480', '52481', '52483', '52486', '52487', '52489', '52490', '52491', '52493', '52496', '52497', '52498', '52601', '52603', '52604', '52607', '52608', '52609', '52610', '52613', '52614', '52617', '52618', '52619', '52630', '52631', '52634', '52637', '52638', '52639', '52640', '52641', '52643', '52647', '52648', '52649', '52670', '52671', '52673', '52674', '52678', '52679', '52680', '52681', '52683', '52684', '52687', '52689', '52690', '52691', '52693', '52694', '52697', '52698', '52701', '52703', '52704', '52706', '52708', '52709', '52710', '52713', '52714', '52716', '52718', '52719', '52730', '52731', '52734', '52736', '52738', '52739', '52740', '52741', '52743', '52746', '52748', '52749', '52760', '52761', '52763', '52764', '52768', '52769', '52780', '52781', '52783', '52784', '52786', '52789', '52790', '52791', '52793', '52794', '52796', '52798', '52801', '52803', '52804', '52806', '52807', '52809', '52810', '52813', '52814', '52816', '52817', '52819', '52830', '52831', '52834', '52836', '52837', '52839', '52840', '52841', '52843', '52846', '52847', '52849', '52860', '52861', '52863', '52864', '52867', '52869', '52870', '52871', '52873', '52874', '52876', '52879', '52890', '52891', '52893', '52894', '52896', '52897', '52901', '52903', '52904', '52906', '52907', '52908', '52910', '52913', '52914', '52916', '52917', '52918', '52930', '52931', '52934', '52936', '52937', '52938', '52940', '52941', '52943', '52946', '52947', '52948', '52960', '52961', '52963', '52964', '52967', '52968', '52970', '52971', '52973', '52974', '52976', '52978', '52980', '52981', '52983', '52984', '52986', '52987', '53012', '53014', '53016', '53017', '53018', '53019', '53021', '53024', '53026', '53027', '53028', '53029', '53041', '53042', '53046', '53047', '53048', '53049', '53061', '53062', '53064', '53067', '53068', '53069', '53071', '53072', '53074', '53076', '53078', '53079', '53081', '53082', '53084', '53086', '53087', '53089', '53091', '53092', '53094', '53096', '53097', '53098', '53102', '53104', '53106', '53107', '53108', '53109', '53120', '53124', '53126', '53127', '53128', '53129', '53140', '53142', '53146', '53147', '53148', '53149', '53160', '53162', '53164', '53167', '53168', '53169', '53170', '53172', '53174', '53176', '53178', '53179', '53180', '53182', '53184', '53186', '53187', '53189', '53190', '53192', '53194', '53196', '53197', '53198', '53201', '53204', '53206', '53207', '53208', '53209', '53210', '53214', '53216', '53217', '53218', '53219', '53240', '53241', '53246', '53247', '53248', '53249', '53260', '53261', '53264', '53267', '53268', '53269', '53270', '53271', '53274', '53276', '53278', '53279', '53280', '53281', '53284', '53286', '53287', '53289', '53290', '53291', '53294', '53296', '53297', '53298', '53401', '53402', '53406', '53407', '53408', '53409', '53410', '53412', '53416', '53417', '53418', '53419', '53420', '53421', '53426', '53427', '53428', '53429', '53460', '53461', '53462', '53467', '53468', '53469', '53470', '53471', '53472', '53476', '53478', '53479', '53480', '53481', '53482', '53486', '53487', '53489', '53490', '53491', '53492', '53496', '53497', '53498', '53601', '53602', '53604', '53607', '53608', '53609', '53610', '53612', '53614', '53617', '53618', '53619', '53620', '53621', '53624', '53627', '53628', '53629', '53640', '53641', '53642', '53647', '53648', '53649', '53670', '53671', '53672', '53674', '53678', '53679', '53680', '53681', '53682', '53684', '53687', '53689', '53690', '53691', '53692', '53694', '53697', '53698', '53701', '53702', '53704', '53706', '53708', '53709', '53710', '53712', '53714', '53716', '53718', '53719', '53720', '53721', '53724', '53726', '53728', '53729', '53740', '53741', '53742', '53746', '53748', '53749', '53760', '53761', '53762', '53764', '53768', '53769', '53780', '53781', '53782', '53784', '53786', '53789', '53790', '53791', '53792', '53794', '53796', '53798', '53801', '53802', '53804', '53806', '53807', '53809', '53810', '53812', '53814', '53816', '53817', '53819', '53820', '53821', '53824', '53826', '53827', '53829', '53840', '53841', '53842', '53846', '53847', '53849', '53860', '53861', '53862', '53864', '53867', '53869', '53870', '53871', '53872', '53874', '53876', '53879', '53890', '53891', '53892', '53894', '53896', '53897', '53901', '53902', '53904', '53906', '53907', '53908', '53910', '53912', '53914', '53916', '53917', '53918', '53920', '53921', '53924', '53926', '53927', '53928', '53940', '53941', '53942', '53946', '53947', '53948', '53960', '53961', '53962', '53964', '53967', '53968', '53970', '53971', '53972', '53974', '53976', '53978', '53980', '53981', '53982', '53984', '53986', '53987', '54012', '54013', '54016', '54017', '54018', '54019', '54021', '54023', '54026', '54027', '54028', '54029', '54031', '54032', '54036', '54037', '54038', '54039', '54061', '54062', '54063', '54067', '54068', '54069', '54071', '54072', '54073', '54076', '54078', '54079', '54081', '54082', '54083', '54086', '54087', '54089', '54091', '54092', '54093', '54096', '54097', '54098', '54102', '54103', '54106', '54107', '54108', '54109', '54120', '54123', '54126', '54127', '54128', '54129', '54130', '54132', '54136', '54137', '54138', '54139', '54160', '54162', '54163', '54167', '54168', '54169', '54170', '54172', '54173', '54176', '54178', '54179', '54180', '54182', '54183', '54186', '54187', '54189', '54190', '54192', '54193', '54196', '54197', '54198', '54201', '54203', '54206', '54207', '54208', '54209', '54210', '54213', '54216', '54217', '54218', '54219', '54230', '54231', '54236', '54237', '54238', '54239', '54260', '54261', '54263', '54267', '54268', '54269', '54270', '54271', '54273', '54276', '54278', '54279', '54280', '54281', '54283', '54286', '54287', '54289', '54290', '54291', '54293', '54296', '54297', '54298', '54301', '54302', '54306', '54307', '54308', '54309', '54310', '54312', '54316', '54317', '54318', '54319', '54320', '54321', '54326', '54327', '54328', '54329', '54360', '54361', '54362', '54367', '54368', '54369', '54370', '54371', '54372', '54376', '54378', '54379', '54380', '54381', '54382', '54386', '54387', '54389', '54390', '54391', '54392', '54396', '54397', '54398', '54601', '54602', '54603', '54607', '54608', '54609', '54610', '54612', '54613', '54617', '54618', '54619', '54620', '54621', '54623', '54627', '54628', '54629', '54630', '54631', '54632', '54637', '54638', '54639', '54670', '54671', '54672', '54673', '54678', '54679', '54680', '54681', '54682', '54683', '54687', '54689', '54690', '54691', '54692', '54693', '54697', '54698', '54701', '54702', '54703', '54706', '54708', '54709', '54710', '54712', '54713', '54716', '54718', '54719', '54720', '54721', '54723', '54726', '54728', '54729', '54730', '54731', '54732', '54736', '54738', '54739', '54760', '54761', '54762', '54763', '54768', '54769', '54780', '54781', '54782', '54783', '54786', '54789', '54790', '54791', '54792', '54793', '54796', '54798', '54801', '54802', '54803', '54806', '54807', '54809', '54810', '54812', '54813', '54816', '54817', '54819', '54820', '54821', '54823', '54826', '54827', '54829', '54830', '54831', '54832', '54836', '54837', '54839', '54860', '54861', '54862', '54863', '54867', '54869', '54870', '54871', '54872', '54873', '54876', '54879', '54890', '54891', '54892', '54893', '54896', '54897', '54901', '54902', '54903', '54906', '54907', '54908', '54910', '54912', '54913', '54916', '54917', '54918', '54920', '54921', '54923', '54926', '54927', '54928', '54930', '54931', '54932', '54936', '54937', '54938', '54960', '54961', '54962', '54963', '54967', '54968', '54970', '54971', '54972', '54973', '54976', '54978', '54980', '54981', '54982', '54983', '54986', '54987', '56012', '56013', '56014', '56017', '56018', '56019', '56021', '56023', '56024', '56027', '56028', '56029', '56031', '56032', '56034', '56037', '56038', '56039', '56041', '56042', '56043', '56047', '56048', '56049', '56071', '56072', '56073', '56074', '56078', '56079', '56081', '56082', '56083', '56084', '56087', '56089', '56091', '56092', '56093', '56094', '56097', '56098', '56102', '56103', '56104', '56107', '56108', '56109', '56120', '56123', '56124', '56127', '56128', '56129', '56130', '56132', '56134', '56137', '56138', '56139', '56140', '56142', '56143', '56147', '56148', '56149', '56170', '56172', '56173', '56174', '56178', '56179', '56180', '56182', '56183', '56184', '56187', '56189', '56190', '56192', '56193', '56194', '56197', '56198', '56201', '56203', '56204', '56207', '56208', '56209', '56210', '56213', '56214', '56217', '56218', '56219', '56230', '56231', '56234', '56237', '56238', '56239', '56240', '56241', '56243', '56247', '56248', '56249', '56270', '56271', '56273', '56274', '56278', '56279', '56280', '56281', '56283', '56284', '56287', '56289', '56290', '56291', '56293', '56294', '56297', '56298', '56301', '56302', '56304', '56307', '56308', '56309', '56310', '56312', '56314', '56317', '56318', '56319', '56320', '56321', '56324', '56327', '56328', '56329', '56340', '56341', '56342', '56347', '56348', '56349', '56370', '56371', '56372', '56374', '56378', '56379', '56380', '56381', '56382', '56384', '56387', '56389', '56390', '56391', '56392', '56394', '56397', '56398', '56401', '56402', '56403', '56407', '56408', '56409', '56410', '56412', '56413', '56417', '56418', '56419', '56420', '56421', '56423', '56427', '56428', '56429', '56430', '56431', '56432', '56437', '56438', '56439', '56470', '56471', '56472', '56473', '56478', '56479', '56480', '56481', '56482', '56483', '56487', '56489', '56490', '56491', '56492', '56493', '56497', '56498', '56701', '56702', '56703', '56704', '56708', '56709', '56710', '56712', '56713', '56714', '56718', '56719', '56720', '56721', '56723', '56724', '56728', '56729', '56730', '56731', '56732', '56734', '56738', '56739', '56740', '56741', '56742', '56743', '56748', '56749', '56780', '56781', '56782', '56783', '56784', '56789', '56790', '56791', '56792', '56793', '56794', '56798', '56801', '56802', '56803', '56804', '56807', '56809', '56810', '56812', '56813', '56814', '56817', '56819', '56820', '56821', '56823', '56824', '56827', '56829', '56830', '56831', '56832', '56834', '56837', '56839', '56840', '56841', '56842', '56843', '56847', '56849', '56870', '56871', '56872', '56873', '56874', '56879', '56890', '56891', '56892', '56893', '56894', '56897', '56901', '56902', '56903', '56904', '56907', '56908', '56910', '56912', '56913', '56914', '56917', '56918', '56920', '56921', '56923', '56924', '56927', '56928', '56930', '56931', '56932', '56934', '56937', '56938', '56940', '56941', '56942', '56943', '56947', '56948', '56970', '56971', '56972', '56973', '56974', '56978', '56980', '56981', '56982', '56983', '56984', '56987', '57012', '57013', '57014', '57016', '57018', '57019', '57021', '57023', '57024', '57026', '57028', '57029', '57031', '57032', '57034', '57036', '57038', '57039', '57041', '57042', '57043', '57046', '57048', '57049', '57061', '57062', '57063', '57064', '57068', '57069', '57081', '57082', '57083', '57084', '57086', '57089', '57091', '57092', '57093', '57094', '57096', '57098', '57102', '57103', '57104', '57106', '57108', '57109', '57120', '57123', '57124', '57126', '57128', '57129', '57130', '57132', '57134', '57136', '57138', '57139', '57140', '57142', '57143', '57146', '57148', '57149', '57160', '57162', '57163', '57164', '57168', '57169', '57180', '57182', '57183', '57184', '57186', '57189', '57190', '57192', '57193', '57194', '57196', '57198', '57201', '57203', '57204', '57206', '57208', '57209', '57210', '57213', '57214', '57216', '57218', '57219', '57230', '57231', '57234', '57236', '57238', '57239', '57240', '57241', '57243', '57246', '57248', '57249', '57260', '57261', '57263', '57264', '57268', '57269', '57280', '57281', '57283', '57284', '57286', '57289', '57290', '57291', '57293', '57294', '57296', '57298', '57301', '57302', '57304', '57306', '57308', '57309', '57310', '57312', '57314', '57316', '57318', '57319', '57320', '57321', '57324', '57326', '57328', '57329', '57340', '57341', '57342', '57346', '57348', '57349', '57360', '57361', '57362', '57364', '57368', '57369', '57380', '57381', '57382', '57384', '57386', '57389', '57390', '57391', '57392', '57394', '57396', '57398', '57401', '57402', '57403', '57406', '57408', '57409', '57410', '57412', '57413', '57416', '57418', '57419', '57420', '57421', '57423', '57426', '57428', '57429', '57430', '57431', '57432', '57436', '57438', '57439', '57460', '57461', '57462', '57463', '57468', '57469', '57480', '57481', '57482', '57483', '57486', '57489', '57490', '57491', '57492', '57493', '57496', '57498', '57601', '57602', '57603', '57604', '57608', '57609', '57610', '57612', '57613', '57614', '57618', '57619', '57620', '57621', '57623', '57624', '57628', '57629', '57630', '57631', '57632', '57634', '57638', '57639', '57640', '57641', '57642', '57643', '57648', '57649', '57680', '57681', '57682', '57683', '57684', '57689', '57690', '57691', '57692', '57693', '57694', '57698', '57801', '57802', '57803', '57804', '57806', '57809', '57810', '57812', '57813', '57814', '57816', '57819', '57820', '57821', '57823', '57824', '57826', '57829', '57830', '57831', '57832', '57834', '57836', '57839', '57840', '57841', '57842', '57843', '57846', '57849', '57860', '57861', '57862', '57863', '57864', '57869', '57890', '57891', '57892', '57893', '57894', '57896', '57901', '57902', '57903', '57904', '57906', '57908', '57910', '57912', '57913', '57914', '57916', '57918', '57920', '57921', '57923', '57924', '57926', '57928', '57930', '57931', '57932', '57934', '57936', '57938', '57940', '57941', '57942', '57943', '57946', '57948', '57960', '57961', '57962', '57963', '57964', '57968', '57980', '57981', '57982', '57983', '57984', '57986', '58012', '58013', '58014', '58016', '58017', '58019', '58021', '58023', '58024', '58026', '58027', '58029', '58031', '58032', '58034', '58036', '58037', '58039', '58041', '58042', '58043', '58046', '58047', '58049', '58061', '58062', '58063', '58064', '58067', '58069', '58071', '58072', '58073', '58074', '58076', '58079', '58091', '58092', '58093', '58094', '58096', '58097', '58102', '58103', '58104', '58106', '58107', '58109', '58120', '58123', '58124', '58126', '58127', '58129', '58130', '58132', '58134', '58136', '58137', '58139', '58140', '58142', '58143', '58146', '58147', '58149', 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'81370', '81372', '81374', '81375', '81376', '81379', '81390', '81392', '81394', '81395', '81396', '81397', '81402', '81403', '81405', '81406', '81407', '81409', '81420', '81423', '81425', '81426', '81427', '81429', '81430', '81432', '81435', '81436', '81437', '81439', '81450', '81452', '81453', '81456', '81457', '81459', '81460', '81462', '81463', '81465', '81467', '81469', '81470', '81472', '81473', '81475', '81476', '81479', '81490', '81492', '81493', '81495', '81496', '81497', '81502', '81503', '81504', '81506', '81507', '81509', '81520', '81523', '81524', '81526', '81527', '81529', '81530', '81532', '81534', '81536', '81537', '81539', '81540', '81542', '81543', '81546', '81547', '81549', '81560', '81562', '81563', '81564', '81567', '81569', '81570', '81572', '81573', '81574', '81576', '81579', '81590', '81592', '81593', '81594', '81596', '81597', '81602', '81603', '81604', '81605', '81607', '81609', '81620', '81623', '81624', '81625', '81627', '81629', '81630', '81632', '81634', 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'83260', '83261', '83264', '83265', '83267', '83269', '83270', '83271', '83274', '83275', '83276', '83279', '83290', '83291', '83294', '83295', '83296', '83297', '83401', '83402', '83405', '83406', '83407', '83409', '83410', '83412', '83415', '83416', '83417', '83419', '83420', '83421', '83425', '83426', '83427', '83429', '83450', '83451', '83452', '83456', '83457', '83459', '83460', '83461', '83462', '83465', '83467', '83469', '83470', '83471', '83472', '83475', '83476', '83479', '83490', '83491', '83492', '83495', '83496', '83497', '83501', '83502', '83504', '83506', '83507', '83509', '83510', '83512', '83514', '83516', '83517', '83519', '83520', '83521', '83524', '83526', '83527', '83529', '83540', '83541', '83542', '83546', '83547', '83549', '83560', '83561', '83562', '83564', '83567', '83569', '83570', '83571', '83572', '83574', '83576', '83579', '83590', '83591', '83592', '83594', '83596', '83597', '83601', '83602', '83604', '83605', '83607', '83609', '83610', '83612', '83614', '83615', '83617', '83619', '83620', '83621', '83624', '83625', '83627', '83629', '83640', '83641', '83642', '83645', '83647', '83649', '83650', '83651', '83652', '83654', '83657', '83659', '83670', '83671', '83672', '83674', '83675', '83679', '83690', '83691', '83692', '83694', '83695', '83697', '83701', '83702', '83704', '83705', '83706', '83709', '83710', '83712', '83714', '83715', '83716', '83719', '83720', '83721', '83724', '83725', '83726', '83729', '83740', '83741', '83742', '83745', '83746', '83749', '83750', '83751', '83752', '83754', '83756', '83759', '83760', '83761', '83762', '83764', '83765', '83769', '83790', '83791', '83792', '83794', '83795', '83796', '83901', '83902', '83904', '83905', '83906', '83907', '83910', '83912', '83914', '83915', '83916', '83917', '83920', '83921', '83924', '83925', '83926', '83927', '83940', '83941', '83942', '83945', '83946', '83947', '83950', '83951', '83952', '83954', '83956', '83957', '83960', '83961', '83962', '83964', '83965', '83967', '83970', '83971', '83972', '83974', '83975', '83976', '84012', '84013', '84015', '84016', '84017', '84019', '84021', '84023', '84025', '84026', '84027', '84029', '84031', '84032', '84035', '84036', '84037', '84039', '84051', '84052', '84053', '84056', '84057', '84059', '84061', '84062', '84063', '84065', '84067', '84069', '84071', '84072', '84073', '84075', '84076', '84079', '84091', '84092', '84093', '84095', '84096', '84097', '84102', '84103', '84105', '84106', '84107', '84109', '84120', '84123', '84125', '84126', '84127', '84129', '84130', '84132', '84135', '84136', '84137', '84139', '84150', '84152', '84153', '84156', '84157', '84159', '84160', '84162', '84163', '84165', '84167', '84169', '84170', '84172', '84173', '84175', '84176', '84179', '84190', '84192', '84193', '84195', '84196', '84197', '84201', '84203', '84205', '84206', '84207', '84209', '84210', '84213', '84215', '84216', '84217', '84219', '84230', '84231', '84235', '84236', '84237', '84239', '84250', '84251', '84253', '84256', '84257', '84259', '84260', '84261', '84263', '84265', '84267', '84269', '84270', '84271', '84273', '84275', '84276', '84279', '84290', '84291', '84293', '84295', '84296', '84297', '84301', '84302', '84305', '84306', '84307', '84309', '84310', '84312', '84315', '84316', '84317', '84319', '84320', '84321', '84325', '84326', '84327', '84329', '84350', '84351', '84352', '84356', '84357', '84359', '84360', '84361', '84362', '84365', '84367', '84369', '84370', '84371', '84372', '84375', '84376', '84379', '84390', '84391', '84392', '84395', '84396', '84397', '84501', '84502', '84503', '84506', '84507', '84509', '84510', '84512', '84513', '84516', '84517', '84519', '84520', '84521', '84523', '84526', '84527', '84529', '84530', '84531', '84532', '84536', '84537', '84539', '84560', '84561', '84562', '84563', '84567', '84569', '84570', '84571', '84572', '84573', '84576', '84579', '84590', '84591', '84592', '84593', '84596', '84597', '84601', '84602', '84603', '84605', '84607', '84609', '84610', '84612', '84613', '84615', '84617', '84619', '84620', '84621', '84623', '84625', '84627', '84629', '84630', '84631', '84632', '84635', '84637', '84639', '84650', '84651', '84652', '84653', '84657', '84659', '84670', '84671', '84672', '84673', '84675', '84679', '84690', '84691', '84692', '84693', '84695', '84697', '84701', '84702', '84703', '84705', '84706', '84709', '84710', '84712', '84713', '84715', '84716', '84719', '84720', '84721', '84723', '84725', '84726', '84729', '84730', '84731', '84732', '84735', '84736', '84739', '84750', '84751', '84752', '84753', '84756', '84759', '84760', '84761', '84762', '84763', '84765', '84769', '84790', '84791', '84792', '84793', '84795', '84796', '84901', '84902', '84903', '84905', '84906', '84907', '84910', '84912', '84913', '84915', '84916', '84917', '84920', '84921', '84923', '84925', '84926', '84927', '84930', '84931', '84932', '84935', '84936', '84937', '84950', '84951', '84952', '84953', '84956', '84957', '84960', '84961', '84962', '84963', '84965', '84967', '84970', '84971', '84972', '84973', '84975', '84976', '85012', '85013', '85014', '85016', '85017', '85019', '85021', '85023', '85024', '85026', '85027', '85029', '85031', '85032', '85034', '85036', '85037', '85039', '85041', '85042', '85043', '85046', '85047', '85049', '85061', '85062', '85063', '85064', '85067', '85069', '85071', '85072', '85073', '85074', '85076', '85079', '85091', '85092', '85093', '85094', '85096', '85097', '85102', '85103', '85104', '85106', '85107', '85109', '85120', '85123', '85124', '85126', '85127', '85129', '85130', '85132', '85134', '85136', '85137', '85139', '85140', '85142', '85143', '85146', '85147', '85149', '85160', '85162', '85163', '85164', '85167', '85169', '85170', '85172', '85173', '85174', '85176', '85179', '85190', '85192', '85193', '85194', '85196', '85197', '85201', '85203', '85204', '85206', '85207', '85209', '85210', '85213', '85214', '85216', '85217', '85219', '85230', '85231', '85234', '85236', '85237', '85239', '85240', '85241', '85243', '85246', '85247', '85249', '85260', '85261', '85263', '85264', '85267', '85269', '85270', '85271', '85273', '85274', '85276', '85279', '85290', '85291', '85293', '85294', '85296', '85297', '85301', '85302', '85304', '85306', '85307', '85309', '85310', '85312', '85314', '85316', '85317', '85319', '85320', '85321', '85324', '85326', '85327', '85329', '85340', '85341', '85342', '85346', '85347', '85349', '85360', '85361', '85362', '85364', '85367', '85369', '85370', '85371', '85372', '85374', '85376', '85379', '85390', '85391', '85392', '85394', '85396', '85397', '85401', '85402', '85403', '85406', '85407', '85409', '85410', '85412', '85413', '85416', '85417', '85419', '85420', '85421', '85423', '85426', '85427', '85429', '85430', '85431', '85432', '85436', '85437', '85439', '85460', '85461', '85462', '85463', '85467', '85469', '85470', '85471', '85472', '85473', '85476', '85479', '85490', '85491', '85492', '85493', '85496', '85497', '85601', '85602', '85603', 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'96170', '96172', '96173', '96174', '96175', '96178', '96180', '96182', '96183', '96184', '96185', '96187', '96201', '96203', '96204', '96205', '96207', '96208', '96210', '96213', '96214', '96215', '96217', '96218', '96230', '96231', '96234', '96235', '96237', '96238', '96240', '96241', '96243', '96245', '96247', '96248', '96250', '96251', '96253', '96254', '96257', '96258', '96270', '96271', '96273', '96274', '96275', '96278', '96280', '96281', '96283', '96284', '96285', '96287', '96301', '96302', '96304', '96305', '96307', '96308', '96310', '96312', '96314', '96315', '96317', '96318', '96320', '96321', '96324', '96325', '96327', '96328', '96340', '96341', '96342', '96345', '96347', '96348', '96350', '96351', '96352', '96354', '96357', '96358', '96370', '96371', '96372', '96374', '96375', '96378', '96380', '96381', '96382', '96384', '96385', '96387', '96401', '96402', '96403', '96405', '96407', '96408', '96410', '96412', '96413', '96415', '96417', '96418', '96420', '96421', '96423', '96425', '96427', '96428', '96430', '96431', '96432', '96435', '96437', '96438', '96450', '96451', '96452', '96453', '96457', '96458', '96470', '96471', '96472', '96473', '96475', '96478', '96480', '96481', '96482', '96483', '96485', '96487', '96501', '96502', '96503', '96504', '96507', '96508', '96510', '96512', '96513', '96514', '96517', '96518', '96520', '96521', '96523', '96524', '96527', '96528', '96530', '96531', '96532', '96534', '96537', '96538', '96540', '96541', '96542', '96543', '96547', '96548', '96570', '96571', '96572', '96573', '96574', '96578', '96580', '96581', '96582', '96583', '96584', '96587', '96701', '96702', '96703', '96704', '96705', '96708', '96710', '96712', '96713', '96714', '96715', '96718', '96720', '96721', '96723', '96724', '96725', '96728', '96730', '96731', '96732', '96734', '96735', '96738', '96740', '96741', '96742', '96743', '96745', '96748', '96750', '96751', '96752', '96753', '96754', '96758', '96780', '96781', '96782', '96783', '96784', '96785', '96801', '96802', '96803', '96804', '96805', '96807', '96810', '96812', '96813', '96814', '96815', '96817', '96820', '96821', '96823', '96824', '96825', '96827', '96830', '96831', '96832', '96834', '96835', '96837', '96840', '96841', '96842', '96843', '96845', '96847', '96850', '96851', '96852', '96853', '96854', '96857', '96870', '96871', '96872', '96873', '96874', '96875', '97012', '97013', '97014', '97015', '97016', '97018', '97021', '97023', '97024', '97025', '97026', '97028', '97031', '97032', '97034', '97035', '97036', '97038', '97041', '97042', '97043', '97045', '97046', '97048', '97051', '97052', '97053', '97054', '97056', '97058', '97061', '97062', '97063', '97064', '97065', '97068', '97081', '97082', '97083', '97084', '97085', '97086', '97102', '97103', '97104', '97105', '97106', '97108', '97120', '97123', '97124', '97125', '97126', '97128', '97130', '97132', '97134', '97135', '97136', '97138', '97140', '97142', '97143', '97145', '97146', '97148', '97150', '97152', '97153', '97154', '97156', '97158', '97160', '97162', '97163', '97164', '97165', '97168', '97180', '97182', '97183', '97184', '97185', '97186', '97201', '97203', '97204', '97205', '97206', '97208', '97210', '97213', '97214', '97215', '97216', '97218', '97230', '97231', '97234', '97235', '97236', '97238', '97240', '97241', '97243', '97245', '97246', '97248', '97250', '97251', '97253', '97254', '97256', '97258', '97260', '97261', '97263', '97264', '97265', '97268', '97280', '97281', '97283', '97284', '97285', '97286', '97301', '97302', '97304', '97305', '97306', '97308', '97310', '97312', '97314', '97315', '97316', '97318', '97320', '97321', '97324', '97325', '97326', '97328', '97340', '97341', '97342', '97345', '97346', '97348', '97350', '97351', '97352', '97354', '97356', '97358', '97360', '97361', '97362', '97364', '97365', '97368', '97380', '97381', '97382', '97384', '97385', '97386', '97401', '97402', '97403', '97405', '97406', '97408', '97410', '97412', '97413', '97415', '97416', '97418', '97420', '97421', '97423', '97425', '97426', '97428', '97430', '97431', '97432', '97435', '97436', '97438', '97450', '97451', '97452', '97453', '97456', '97458', '97460', '97461', '97462', '97463', '97465', '97468', '97480', '97481', '97482', '97483', '97485', '97486', '97501', '97502', '97503', '97504', '97506', '97508', '97510', '97512', '97513', '97514', '97516', '97518', '97520', '97521', '97523', '97524', '97526', '97528', '97530', '97531', '97532', '97534', '97536', '97538', '97540', '97541', '97542', '97543', '97546', '97548', '97560', '97561', '97562', '97563', '97564', '97568', '97580', '97581', '97582', '97583', '97584', '97586', '97601', '97602', '97603', '97604', '97605', '97608', '97610', '97612', '97613', '97614', '97615', '97618', '97620', '97621', '97623', '97624', '97625', '97628', '97630', '97631', '97632', '97634', '97635', '97638', '97640', '97641', '97642', '97643', '97645', '97648', '97650', '97651', '97652', '97653', '97654', '97658', '97680', '97681', '97682', '97683', '97684', '97685', '97801', '97802', '97803', '97804', '97805', '97806', '97810', '97812', '97813', '97814', '97815', '97816', '97820', '97821', '97823', '97824', '97825', '97826', '97830', '97831', '97832', '97834', '97835', '97836', '97840', '97841', '97842', '97843', '97845', '97846', '97850', '97851', '97852', '97853', '97854', '97856', '97860', '97861', '97862', '97863', '97864', '97865', '98012', '98013', '98014', '98015', '98016', '98017', '98021', '98023', '98024', '98025', '98026', '98027', '98031', '98032', '98034', '98035', '98036', '98037', '98041', '98042', '98043', '98045', '98046', '98047', '98051', '98052', '98053', '98054', '98056', '98057', '98061', '98062', '98063', '98064', '98065', '98067', '98071', '98072', '98073', '98074', '98075', '98076', '98102', '98103', '98104', '98105', '98106', '98107', '98120', '98123', '98124', '98125', '98126', '98127', '98130', '98132', '98134', '98135', '98136', '98137', '98140', '98142', '98143', '98145', '98146', '98147', '98150', '98152', '98153', '98154', '98156', '98157', '98160', '98162', '98163', '98164', '98165', '98167', '98170', '98172', '98173', '98174', '98175', '98176', '98201', '98203', '98204', '98205', '98206', '98207', '98210', '98213', '98214', '98215', '98216', '98217', '98230', '98231', '98234', '98235', '98236', '98237', '98240', '98241', '98243', '98245', '98246', '98247', '98250', '98251', '98253', '98254', '98256', '98257', '98260', '98261', '98263', '98264', '98265', '98267', '98270', '98271', '98273', '98274', '98275', '98276', '98301', '98302', '98304', '98305', '98306', '98307', '98310', '98312', '98314', '98315', '98316', '98317', '98320', '98321', '98324', '98325', '98326', '98327', '98340', '98341', '98342', '98345', '98346', '98347', '98350', '98351', '98352', '98354', '98356', '98357', '98360', '98361', '98362', '98364', '98365', '98367', '98370', '98371', '98372', '98374', '98375', '98376', '98401', '98402', '98403', '98405', '98406', '98407', '98410', '98412', '98413', '98415', '98416', '98417', '98420', '98421', '98423', '98425', '98426', '98427', '98430', '98431', '98432', '98435', '98436', '98437', '98450', '98451', '98452', '98453', '98456', '98457', '98460', '98461', '98462', '98463', '98465', '98467', '98470', '98471', '98472', '98473', '98475', '98476', '98501', '98502', '98503', '98504', '98506', '98507', '98510', '98512', '98513', '98514', '98516', '98517', '98520', '98521', '98523', '98524', '98526', '98527', '98530', '98531', '98532', '98534', '98536', '98537', '98540', '98541', '98542', '98543', '98546', '98547', '98560', '98561', '98562', '98563', '98564', '98567', '98570', '98571', '98572', '98573', '98574', '98576', '98601', '98602', '98603', '98604', '98605', '98607', '98610', '98612', '98613', '98614', '98615', '98617', '98620', '98621', '98623', '98624', '98625', '98627', '98630', '98631', '98632', '98634', '98635', '98637', '98640', '98641', '98642', '98643', '98645', '98647', '98650', '98651', '98652', '98653', '98654', '98657', '98670', '98671', '98672', '98673', '98674', '98675', '98701', '98702', '98703', '98704', '98705', '98706', '98710', '98712', '98713', '98714', '98715', '98716', '98720', '98721', '98723', '98724', '98725', '98726', '98730', '98731', '98732', '98734', '98735', '98736', '98740', '98741', '98742', '98743', '98745', '98746', '98750', '98751', '98752', '98753', '98754', '98756', '98760', '98761', '98762', '98763', '98764', '98765']
```
## 全パターンのリストからHit&Blowの値が一致しないものを省いていく
手順
- 全パターンの数字と回答の数字を照らし合わせhit数とblow数が同じものを新たなリストに格納
- hit数とblow数が同じもののリストを全パターンのリストにコピー
- 現在の情報を表示
- 前パターンのリストサイズが1になるまでループ処理

```python:
import copy
```

```python:
while len(all_number)!=1:
  number=input("推理ナンバーを入力してください:")
  hit=input("hit数を入力してください：")
  blow=input("blow数を入力してください：")
  sus=[]
  for num in all_number:
    hit_sus=str(calculation(num,number)[0])
    blow_sus=str(calculation(num,number)[1])
    if (hit_sus==hit) and (blow_sus==blow):
      sus.append(num)
  all_number=copy.copy(sus)
  print(str(len(all_number))+"パターン考えられます。")
  if len(all_number)<30:
    print("候補:")
    print(all_number)
print("答えは"+all_number[0]+"です。")
```
※全パターンを表示すると多いため30より小さい場合表示する処理を入れています。
実行結果
```
推理ナンバーを入力してください:41869
hit数を入力してください：0
blow数を入力してください：3
6400パターン考えられます。
推理ナンバーを入力してください:10783
hit数を入力してください：0
blow数を入力してください：3
1138パターン考えられます。
推理ナンバーを入力してください:69071
hit数を入力してください：2
blow数を入力してください：2
37パターン考えられます。
推理ナンバーを入力してください:87031
hit数を入力してください：2
blow数を入力してください：1
9パターン考えられます。
候補:
['09631', '36091', '67014', '67098', '67391', '67401', '74091', '76041', '79631']
推理ナンバーを入力してください:26405
hit数を入力してください：0
blow数を入力してください：2
3パターン考えられます。
候補:
['09631', '67098', '74091']
推理ナンバーを入力してください:74091
hit数を入力してください：1
blow数を入力してください：2
1パターン考えられます。
候補:
['09631']
答えは09631です。
```


## おまけ
考えられるパターンの中でHitが確定されている数字を抽出し表示する機能を実装しました
```python:
def confirm_number(list):
  number=list[0]
  s=[]
  for count in range(len(number)):
    s.append(number[count])
  for num in range(len(list)-1):
    for count in range(len(list[num])):
      
      if str(list[num][count])!=str(list[num+1][count]):
        s[count:count+1]='?'
  "".join(s)
  print(s)
```

# まとめ
作成したコードを合わせると以下のようになります
```python:
import itertools
import copy
def calculation(k,q):
  size=len(q)
  hit = 0
  blow = 0
  for num in range(size):
    if(q[num] == k[num]):
      hit +=1
  for num in range(len(q)):
    for count in range(len(k)):
      if(q[num]==k[count]):
        if(num!=count):
          blow+=1
  return [hit,blow]

def confirm_number(list):
  number=list[0]
  s=[]
  for count in range(len(number)):
    s.append(number[count])
  for num in range(len(list)-1):
    for count in range(len(list[num])):
      
      if str(list[num][count])!=str(list[num+1][count]):
        s[count:count+1]='?'
  "".join(s)
  print(s)

s="0123456789"
size=5
all_number = [''.join(v) for v in itertools.permutations(s, size)]

while len(all_number)!=1:
  number=input("推理ナンバーを入力してください:")
  hit=input("hit数を入力してください：")
  blow=input("blow数を入力してください：")
  sus=[]
  for num in all_number:
    hit_sus=str(calculation(num,number)[0])
    blow_sus=str(calculation(num,number)[1])
    if (hit_sus==hit) and (blow_sus==blow):
      sus.append(num)
  all_number=copy.copy(sus)
  confirm_number(all_number)
  print(str(len(all_number))+"パターン考えられます。")
  if len(all_number)<30:
    print("候補:")
    print(all_number)

print("答えは"+all_number[0]+"です。")
```

実行結果

```
推理ナンバーを入力してください:41869
hit数を入力してください：0
blow数を入力してください：3
['?', '?', '?', '?', '?']
6400パターン考えられます。
推理ナンバーを入力してください:41968
hit数を入力してください：0
blow数を入力してください：3
['?', '?', '?', '?', '?']
4600パターン考えられます。
推理ナンバーを入力してください:10783
hit数を入力してください：0
blow数を入力してください：3
['?', '?', '?', '?', '?']
759パターン考えられます。
推理ナンバーを入力してください:18239
hit数を入力してください：1
blow数を入力してください：2
['?', '?', '?', '?', '?']
133パターン考えられます。
推理ナンバーを入力してください:69071
hit数を入力してください：2
blow数を入力してください：2
['?', '?', '?', '3', '?']
5パターン考えられます。
候補:
['09631', '69130', '69137', '79631', '96031']
推理ナンバーを入力してください:26405
hit数を入力してください：0
blow数を入力してください：2
['?', '9', '?', '3', '?']
2パターン考えられます。
候補:
['09631', '69130']
推理ナンバーを入力してください:87031
hit数を入力してください：2
blow数を入力してください：1
['0', '9', '6', '3', '1']
1パターン考えられます。
候補:
['09631']
答えは09631です。
```
# おわりに
今回は全探索で処理効率を考えたりせず、動けばいいやくらいの気持ちで作成しました。
一応正しい出力は得られていると思うのでよかったです。
自分の頭ではぱっと答えがわからないけどコンピュータだと瞬時にすべてのパターンが返ってくるので気持ちいいですね、、、。
また機会があればこんな感じの問題を解くようなプログラムは作っていきたいです。