02 = 0
12 = 1
102 = 100
1002 = 10000
10002 = 1000000
100002 = 100000000
1000002 = 10000000000
1005012 = 10100451001
5505012 = 303051351001
5515012 = 304153353001
10000002 = 1000000000000
10050102 = 1010045100100
55050102 = 30305135100100
55150102 = 30415335300100
100000002 = 100000000000000
100050012 = 100100045010001
100501002 = 101004510010000
100550012 = 101103045110001
550501002 = 3030513510010000
550550012 = 3031053135110001
551501002 = 3041533530010000
1000000002 = 10000000000000000
1000500102 = 10010004501000100
1005010002 = 10100451001000000
1005500102 = 10110304511000100
5505010002 = 303051351001000000
5505500102 = 303105313511000100
5515010002 = 304153353001000000
10000000002 = 1000000000000000000
10000500012 = 1000100004500100001
10000505012 = 1000101004550351001
10005001002 = 1001000450100010000
10005014512 = 1001003153453105401
10005500012 = 1001100304501100001
10005505012 = 1001101305051351001
10050100002 = 1010045100100000000
10050550012 = 1010135555035110001
10055001002 = 1011030451100010000
10503054512 = 1103141540400313401
10504015012 = 1103343313303053001
10514005012 = 1105443013503051001
10550504512 = 1113131454155303401
10550550012 = 1113141055135110001
11450504512 = 1311140535335303401
11550504512 = 1334141544355303401
55050100002 = 30305135100100000000
55055001002 = 30310531351100010000
55150100002 = 30415335300100000000
100000000002 = 100000000000000000000
100005000102 = 100010000450010000100
100005050102 = 100010100455035100100
100050010002 = 100100045010001000000
100050145102 = 100100315345310540100
100055000102 = 100110030450110000100
100055050102 = 100110130505135100100
100501000002 = 101004510010000000000
100505500102 = 101013555503511000100
100550010002 = 101103045110001000000
105030050012 = 110313114051031010001
105030545102 = 110314154040031340100
105040150102 = 110334331330305300100
105140050102 = 110544301350305100100
105405415012 = 111103015134303333001
105505045102 = 111313145415530340100
105505500102 = 111314105513511000100
114041015012 = 130053531045110453001
114505045102 = 131114053533530340100
115505045102 = 133414154435530340100
550501000002 = 3030513510010000000000
550550010002 = 3031053135110001000000
551501000002 = 3041533530010000000000
1000000000002 = 10000000000000000000000
1000005000012 = 10000100000450001000001
1000005505012 = 10000110100503051351001
1000005515012 = 10000110300504153353001
1000050001002 = 10001000045001000010000
1000050501002 = 10001010045503510010000
1000055000012 = 10001100030450011000001
1000500100002 = 10010004501000100000000
1000501451002 = 10010031534531054010000
1000550001002 = 10011003045011000010000
1000550501002 = 10011013050513510010000
1005005000012 = 10100350500451001000001
1005010000002 = 10100451001000000000000
1005055000012 = 10101355530451011000001
1005055001002 = 10101355550351100010000
1005500100002 = 10110304511000100000000
1005505000012 = 10110403050451101000001
1050300500102 = 11031311405103101000100
1050305451002 = 11031415404003134010000
1050401501002 = 11033433133030530010000
1050430150012 = 11034035000500311030001
1051400501002 = 11054430135030510010000
1054041514512 = 11110035143105345405401
1054054150102 = 11110301513430333300100
1055041015012 = 11131115433533310453001
1055050451002 = 11131314541553034010000
1055055001002 = 11131410551351100010000
1140410150102 = 13005353104511045300100
1141553044512 = 13031433534300500411401
1145050451002 = 13111405353353034010000
1155050451002 = 13341415443553034010000
5505000500012 = 303050305051103500100001
5505010000002 = 303051351001000000000000
5505500100002 = 303105313511000100000000
5515010000002 = 304153353001000000000000
10000000000002 = 1000000000000000000000000
10000015505012 = 1000003101004404053351001
10000050000102 = 1000010000045000100000100
10000055050102 = 1000011010050305135100100
10000055150102 = 1000011030050415335300100
10000500010002 = 1000100004500100001000000
10000505010002 = 1000101004550351001000000
10000550000102 = 1000110003045001100000100
10000550550012 = 1000110113033053135110001
10001550550012 = 1000310134044053335110001
10005001000002 = 1001000450100010000000000
10005014510002 = 1001003153453105401000000
10005015500012 = 1001003351554403503100001
10005500010002 = 1001100304501100001000000
10005505010002 = 1001101305051351001000000
10050050000102 = 1010035050045100100000100
10050100000002 = 1010045100100000000000000
10050550000102 = 1010135553045101100000100
10050550010002 = 1010135555035110001000000
10055001000002 = 1011030451100010000000000
10055050000102 = 1011040305045110100000100
10055113154512 = 1011053005500000431333401
10503005001002 = 1103131140510310100010000
10503054510002 = 1103141540400313401000000
10503115305012 = 1103154311103353053311001
10504015010002 = 1103343313303053001000000
10504301500102 = 1103403500050031103000100
10504351504512 = 1103414005303015005503401
10505015000012 = 1103553401504351003000001
10514005010002 = 1105443013503051001000000
10540415145102 = 1111003514310534540540100
10540541501002 = 1111030151343033330010000
10550410150102 = 1113111543353331045300100
10550504510002 = 1113131454155303401000000
10550550010002 = 1113141055135110001000000
11404101501002 = 1300535310451104530010000
11415530445102 = 1303143353430050041140100
11450504510002 = 1311140535335303401000000
11550504510002 = 1334141544355303401000000
55050005000102 = 30305030505110350010000100
55050100000002 = 30305135100100000000000000
55055001000002 = 30310531351100010000000000
55150100000002 = 30415335300100000000000000
100000000000002 = 100000000000000000000000000
100000050000012 = 100000100000045000010000001
100000050050012 = 100000100100045050035010001
100000050550012 = 100000101100045553035110001
100000155050102 = 100000310100440405335100100
100000500001002 = 100001000004500010000010000
100000550000012 = 100001100003045000110000001
100000550050012 = 100001100103045550135010001
100000550501002 = 100001101005030513510010000
100000550550012 = 100001101103051053135110001
100000551501002 = 100001103005041533530010000
100005000100002 = 100010000450010000100000000
100005050050012 = 100010100355050051035010001
100005050100002 = 100010100455035100100000000
100005050550012 = 100010101355100554035110001
100005500001002 = 100011000304500110000010000
100005505500102 = 100011011303305313511000100
100015505500102 = 100031013404405333511000100
100050010000002 = 100100045010001000000000000
100050145100002 = 100100315345310540100000000
100050155000102 = 100100335155440350310000100
100055000100002 = 100110030450110000100000000
100055050000012 = 100110130305045011010000001
100055050100002 = 100110130505135100100000000
100155050000012 = 100310340405045031010000001
100500500001002 = 101003505004510010000010000
100501000000002 = 101004510010000000000000000
100505500001002 = 101013555304510110000010000
100505500100002 = 101013555503511000100000000
100550010000002 = 101103045110001000000000000
100550500001002 = 101104030504511010000010000
100550550000012 = 101104131053045110110000001
100551131545102 = 101105300550000043133340100
101510315014512 = 103043440543450543415105401
105030050010002 = 110313114051031010001000000
105030545100002 = 110314154040031340100000000
105031153050102 = 110315431110335305331100100
105040150100002 = 110334331330305300100000000
105043015001002 = 110340350005003110300010000
105043015500012 = 110340351053353411103100001
105043515045102 = 110341400530301500550340100
105050150000102 = 110355340150435100300000100
105140050100002 = 110544301350305100100000000
105143000500012 = 110550505541451031100100001
105404151451002 = 111100351431053454054010000
105405415010002 = 111103015134303333001000000
105504101501002 = 111311154335333104530010000
105505045100002 = 111313145415530340100000000
105505500100002 = 111314105513511000100000000
114041015010002 = 130053531045110453001000000
114155304451002 = 130314335343005004114010000
114505045100002 = 131114053533530340100000000
115343450405012 = 133041115513330015330331001
115505045100002 = 133414154435530340100000000
550500050000012 = 3030503050500135100010000001
550500050001002 = 3030503050511035001000010000
550500055000012 = 3030503105550140350011000001
550500150000012 = 3030504151500335100030000001
550501000000002 = 3030513510010000000000000000
550550010000002 = 3031053135110001000000000000
551501000000002 = 3041533530010000000000000000
1000000000000002 = 10000000000000000000000000000
1000000500000102 = 10000010000004500001000000100
1000000500500102 = 10000010010004505003501000100
1000000505500102 = 10000010110004555303511000100
1000001550501002 = 10000031010044040533510010000
1000005000010002 = 10000100000450001000001000000
1000005500000102 = 10000110000304500011000000100
1000005500500102 = 10000110010304555013501000100
1000005505010002 = 10000110100503051351001000000
1000005505500102 = 10000110110305105313511000100
1000005515010002 = 10000110300504153353001000000
1000050001000002 = 10001000045001000010000000000
1000050054305012 = 10001001111154534500341111001
1000050500500102 = 10001010035505005103501000100
1000050501000002 = 10001010045503510010000000000
1000050505500102 = 10001010135510055403511000100
1000055000010002 = 10001100030450011000001000000
1000055055001002 = 10001101130330531351100010000
1000155055001002 = 10003101340440533351100010000
1000500100000002 = 10010004501000100000000000000
1000501451000002 = 10010031534531054010000000000
1000501550001002 = 10010033515544035031000010000
1000550001000002 = 10011003045011000010000000000
1000550500000102 = 10011013030504501101000000100
1000550501000002 = 10011013050513510010000000000
1001550500000102 = 10031034040504503101000000100
1005005000010002 = 10100350500451001000001000000
1005010000000002 = 10100451001000000000000000000
1005010000500012 = 10100451011050301004500100001
1005010005500012 = 10100451111551301304501100001
1005014100150012 = 10100533415003343303045030001
1005045000505012 = 10101154530401155511550351001
1005045001500012 = 10101154550401551031500300001
1005055000010002 = 10101355530451011000001000000
1005055001000002 = 10101355550351100010000000000
1005500100000002 = 10110304511000100000000000000
1005500400305012 = 10110310550135353541010311001
1005505000010002 = 10110403050451101000001000000
1005505500000102 = 10110413105304511011000000100
1005511315451002 = 10110530055000004313334010000
1015044005500012 = 10303143331015043311301100001
1015103150145102 = 10304344054345054341510540100
1050300500100002 = 11031311405103101000100000000
1050305451000002 = 11031415404003134010000000000
1050311530501002 = 11031543111033530533110010000
1050401501000002 = 11033433133030530010000000000
1050430150010002 = 11034035000500311030001000000
1050430155000102 = 11034035105335341110310000100
1050435150451002 = 11034140053030150055034010000
1050501500001002 = 11035534015043510030000010000
1051400501000002 = 11054430135030510010000000000
1051405414455012 = 11054533455453113510553141001
1051430005000102 = 11055050554145103110010000100
1054041514510002 = 11110035143105345405401000000
1054054150100002 = 11110301513430333300100000000
1055041015010002 = 11131115433533310453001000000
1055050451000002 = 11131314541553034010000000000
1055055001000002 = 11131410551351100010000000000
1140410150100002 = 13005353104511045300100000000
1141553044510002 = 13031433534300500411401000000
1145050451000002 = 13111405353353034010000000000
1153301545150012 = 13301044540454005545534030001
1153434504050102 = 13304111551333001533033100100
1155050451000002 = 13341415443553034010000000000
5505000500000102 = 303050305050013510001000000100
5505000500010002 = 303050305051103500100001000000
5505000550000102 = 303050310555014035001100000100
5505001500000102 = 303050415150033510003000000100
5505010000000002 = 303051351001000000000000000000
5505500005000012 = 303105303050551101350001000001
5505500100000002 = 303105313511000100000000000000
5515010000000002 = 304153353001000000000000000000