02 = 0
12 = 1
102 = 100
1002 = 10000
10002 = 1000000
100002 = 100000000
104012 = 108180801
108882 = 118548544
1000002 = 10000000000
1005012 = 10100451001
1040102 = 10818080100
1088802 = 11854854400
10000002 = 1000000000000
10040012 = 1008018008001
10050102 = 1010045100100
10401002 = 1081808010000
10888002 = 1185485440000
100000002 = 100000000000000
100050012 = 100100045010001
100400102 = 100801800800100
100501002 = 101004510010000
104010002 = 108180801000000
104141512 = 108454541050801
108880002 = 118548544000000
1000000002 = 10000000000000000
1000400012 = 10008001800080001
1000500102 = 10010004501000100
1004001002 = 10080180080010000
1005010002 = 10100451001000000
1040100002 = 10818080100000000
1041415102 = 10845454105080100
1048884412 = 11001585055410481
1088800002 = 11854854400000000
10000000002 = 1000000000000000000
10000500012 = 1000100004500100001
10004000102 = 1000800180008000100
10005001002 = 1001000450100010000
10040010002 = 1008018008001000000
10050100002 = 1010045100100000000
10401000002 = 1081808010000000000
10414151002 = 1084545410508010000
10488844102 = 1100158505541048100
10514554412 = 1105558544408504481
10888000002 = 1185485440000000000
100000000002 = 100000000000000000000
100004000012 = 100008000180000800001
100004005012 = 100008010180401051001
100005000102 = 100010000450010000100
100005054882 = 100010110015518118144
100040001002 = 100080018000800010000
100050010002 = 100100045010001000000
100400100002 = 100801800800100000000
100404455012 = 100810545858551141001
100501000002 = 101004510010000000000
100504000012 = 101010540180100800001
104010000002 = 108180801000000000000
104141510002 = 108454541050801000000
104888441002 = 110015850554104810000
105145544102 = 110555854440850448100
108880000002 = 118548544000000000000
1000000000002 = 10000000000000000000000
1000005000012 = 10000100000450001000001
1000040000102 = 10000800018000080000100
1000040050102 = 10000801018040105100100
1000050001002 = 10001000045001000010000
1000050548802 = 10001011001551811814400
1000400010002 = 10008001800080001000000
1000500100002 = 10010004501000100000000
1004001000002 = 10080180080010000000000
1004001414882 = 10080188410810418854144
1004044550102 = 10081054585855114100100
1005010000002 = 10100451001000000000000
1005040000102 = 10101054018010080000100
1005041514512 = 10101084458885545405401
1005555000012 = 10111408580451111000001
1040100000002 = 10818080100000000000000
1041180044512 = 10840558850858455811401
1041415100002 = 10845454105080100000000
1041541554882 = 10848088105418480518144
1048884410002 = 11001585055410481000000
1051455441002 = 11055585444085044810000
1088800000002 = 11854854400000000000000
10000000000002 = 1000000000000000000000000
10000040000012 = 1000008000018000008000001
10000050000102 = 1000010000045000100000100
10000400001002 = 1000080001800008000010000
10000400501002 = 1000080101804010510010000
10000500010002 = 1000100004500100001000000
10000500514882 = 1000100105481151451014144
10000505488002 = 1000101100155181181440000
10004000100002 = 1000800180008000100000000
10005001000002 = 1001000450100010000000000
10040010000002 = 1008018008001000000000000
10040014148802 = 1008018841081041885414400
10040445501002 = 1008105458585511410010000
10050100000002 = 1010045100100000000000000
10050400001002 = 1010105401801008000010000
10050415145102 = 1010108445888554540540100
10055550000102 = 1011140858045111100000100
10401000000002 = 1081808010000000000000000
10411800445102 = 1084055885085845581140100
10414151000002 = 1084545410508010000000000
10415415548802 = 1084808810541848051814400
10488141404012 = 1100011101105088540440801
10488844100002 = 1100158505541048100000000
10511018411412 = 1104815080450000000181881
10514554410002 = 1105558544408504481000000
10888000000002 = 1185485440000000000000000
100000000000002 = 100000000000000000000000000
100000050000012 = 100000100000045000010000001
100000400000102 = 100000800001800000800000100
100000500001002 = 100001000004500010000010000
100004000010002 = 100008000180000800001000000
100004005010002 = 100008010180401051001000000
100005000100002 = 100010000450010000100000000
100005005148802 = 100010010548115145101414400
100005054880002 = 100010110015518118144000000
100040001000002 = 100080018000800010000000000
100044414144012 = 100088848014181881410188801
100050010000002 = 100100045010001000000000000
100400100000002 = 100801800800100000000000000
100400141488002 = 100801884108104188541440000
100404455010002 = 100810545858551141001000000
100501000000002 = 101004510010000000000000000
100504000010002 = 101010540180100800001000000
100504151451002 = 101010844588855454054010000
100555500001002 = 101114085804511110000010000
100588545511412 = 101180554881010008584401881
104010000000002 = 108180801000000000000000000
104118001044512 = 108405581415045854510011401
104118004451002 = 108405588508584558114010000
104141510000002 = 108454541050801000000000000
104154155488002 = 108480881054184805181440000
104184841454412 = 108544811888805484041084481
104881414040102 = 110001110110508854044080100
104888041044512 = 110015011541548144118011401
104888441000002 = 110015850554104810000000000
105110184114102 = 110481508045000000018188100
105145544100002 = 110555854440850448100000000
108880000000002 = 118548544000000000000000000
108880018418482 = 118548584108085440404055104
108880018454012 = 118548584185455581504850801
1000000000000002 = 10000000000000000000000000000
1000000400000012 = 10000008000001800000080000001
1000000400050012 = 10000008001001800400105010001
1000000500000102 = 10000010000004500001000000100
1000004000001002 = 10000080000180000080000010000
1000005000010002 = 10000100000450001000001000000
1000040000100002 = 10000800018000080000100000000
1000040050100002 = 10000801018040105100100000000
1000040400104012 = 10000808018401884040188180801
1000044404104412 = 10000888101805444884541814481
1000050001000002 = 10001000045001000010000000000
1000050051488002 = 10001001054811514510141440000
1000050548800002 = 10001011001551811814400000000
1000400010000002 = 10008001800080001000000000000
1000444141440102 = 10008884801418188141018880100
1000500100000002 = 10010004501000100000000000000
1000500400000012 = 10010010504001800100080000001
1004001000000002 = 10080180080010000000000000000
1004001414880002 = 10080188410810418854144000000
1004044550100002 = 10081054585855114100100000000
1005010000000002 = 10100451001000000000000000000
1005040000100002 = 10101054018010080000100000000
1005041514510002 = 10101084458885545405401000000
1005044501505012 = 10101144500054540481550551001
1005555000010002 = 10111408580451111000001000000
1005885455114102 = 10118055488101000858440188100
1040100000000002 = 10818080100000000000000000000
1041180010445102 = 10840558141504585451001140100
1041180044510002 = 10840558850858455811401000000
1041415100000002 = 10845454105080100000000000000
1041540004514512 = 10848055810040855111808005401
1041541554880002 = 10848088105418480518144000000
1041544115811512 = 10848141451815801551858484801
1041848414544102 = 10854481188880548404108448100
1048814140401002 = 11000111011050885404408010000
1048880410445102 = 11001501154154814411801140100
1048884410000002 = 11001585055410481000000000000
1051101841141002 = 11048150804500000001818810000
1051455441000002 = 11055585444085044810000000000
1054115005181512 = 11111584441488148541480458801
1088505404005012 = 11848440145481100401481051001
1088510844458882 = 11848558585045840484000108544
1088800000000002 = 11854854400000000000000000000
1088800184184802 = 11854858410808544040405510400
1088800184540102 = 11854858418545558150485080100