02 = 0
12 = 1
102 = 100
112 = 121
1002 = 10000
1012 = 10201
1102 = 12100
2612 = 68121
10002 = 1000000
10012 = 1002001
10102 = 1020100
10112 = 1022121
11002 = 1210000
11012 = 1212201
26102 = 6812100
100002 = 100000000
100012 = 100020001
100102 = 100200100
100112 = 100220121
101002 = 102010000
101102 = 102212100
108012 = 116661601
110002 = 121000000
110012 = 121022001
110102 = 121220100
112612 = 126810121
261002 = 681210000
261012 = 681262201
1000002 = 10000000000
1000012 = 10000200001
1000102 = 10002000100
1000112 = 10002200121
1001002 = 10020010000
1001012 = 10020210201
1001102 = 10022012100
1010002 = 10201000000
1010012 = 10201202001
1011002 = 10221210000
1080102 = 11666160100
1100002 = 12100000000
1100012 = 12100220001
1100102 = 12102200100
1101002 = 12122010000
1126102 = 12681012100
2610002 = 68121000000
2610102 = 68126220100
2828812 = 80021660161
8162612 = 666282020121
10000002 = 1000000000000
10000012 = 1000002000001
10000102 = 1000020000100
10000112 = 1000022000121
10001002 = 1000200010000
10001012 = 1000202010201
10001102 = 1000220012100
10010002 = 1002001000000
10010102 = 1002021020100
10011002 = 1002201210000
10080012 = 1016066016001
10100002 = 1020100000000
10100012 = 1020102020001
10100102 = 1020120200100
10100112 = 1020122220121
10110002 = 1022121000000
10801002 = 1166616010000
11000002 = 1210000000000
11000012 = 1210002200001
11000102 = 1210022000100
11001002 = 1210220010000
11001012 = 1210222210201
11010002 = 1212201000000
11261002 = 1268101210000
26100002 = 6812100000000
26101002 = 6812622010000
26108012 = 6816281861601
28288102 = 8002166016100
81612612 = 66606181110121
81626102 = 66628202012100
100000002 = 100000000000000
100000012 = 100000020000001
100000102 = 100000200000100
100000112 = 100000220000121
100001002 = 100002000010000
100001012 = 100002020010201
100001102 = 100002200012100
100010002 = 100020001000000
100010012 = 100020021002001
100010102 = 100020201020100
100010112 = 100020221022121
100011002 = 100022001210000
100011012 = 100022021212201
100100002 = 100200100000000
100100012 = 100200120020001
100101002 = 100202102010000
100110002 = 100220121000000
100800102 = 101606601600100
100802612 = 101611661828121
101000002 = 102010000000000
101000012 = 102010020200001
101000102 = 102010202000100
101000112 = 102010222200121
101001002 = 102012020010000
101001102 = 102012222012100
101100002 = 102212100000000
101100012 = 102212120220001
108010002 = 116661601000000
108010012 = 116661622602001
110000002 = 121000000000000
110000012 = 121000022000001
110000102 = 121000220000100
110001002 = 121002200010000
110001012 = 121002222010201
110010002 = 121022001000000
110010102 = 121022221020100
110100002 = 121220100000000
110100012 = 121220122020001
112610002 = 126810121000000
260808012 = 680208180801601
261000002 = 681210000000000
261010002 = 681262201000000
261080102 = 681628186160100
282881002 = 800216601610000
816126102 = 6660618111012100
816261002 = 6662820201210000
1000000002 = 10000000000000000
1000000012 = 10000000200000001
1000000102 = 10000002000000100
1000000112 = 10000002200000121
1000001002 = 10000020000010000
1000001012 = 10000020200010201
1000001102 = 10000022000012100
1000010002 = 10000200001000000
1000010012 = 10000200201002001
1000010102 = 10000202001020100
1000010112 = 10000202201022121
1000011002 = 10000220001210000
1000011012 = 10000220201212201
1000100002 = 10002000100000000
1000100102 = 10002002100200100
1000101002 = 10002020102010000
1000101102 = 10002022102212100
1000110002 = 10002200121000000
1000110102 = 10002202121220100
1000800012 = 10016006600160001
1001000002 = 10020010000000000
1001000012 = 10020010200200001
1001000102 = 10020012002000100
1001000112 = 10020012202200121
1001010002 = 10020210201000000
1001100002 = 10022012100000000
1008001002 = 10160660160010000
1008026102 = 10161166182812100
1010000002 = 10201000000000000
1010000012 = 10201000202000001
1010000102 = 10201002020000100
1010000112 = 10201002222000121
1010001002 = 10201020200010000
1010001102 = 10201022220012100
1010010002 = 10201202001000000
1010011002 = 10201222201210000
1010080012 = 10202616266016001
1011000002 = 10221210000000000
1011000012 = 10221210202200001
1011000102 = 10221212022000100
1080100002 = 11666160100000000
1080100102 = 11666162260200100
1080800012 = 11681286616160001
1100000002 = 12100000000000000
1100000012 = 12100000220000001
1100000102 = 12100002200000100
1100001002 = 12100022000010000
1100001012 = 12100022220010201
1100010002 = 12100220001000000
1100010012 = 12100220221002001
1100010102 = 12100222201020100
1100100002 = 12102200100000000
1100101002 = 12102222102010000
1101000002 = 12122010000000000
1101000012 = 12122010220200001
1101000102 = 12122012202000100
1102800112 = 12161680826160121
1126100002 = 12681012100000000
1621162612 = 26281682080620121
2608080102 = 68020818080160100
2610000002 = 68121000000000000
2610100002 = 68126220100000000
2610100012 = 68126220622020001
2610801002 = 68162818616010000
2828810002 = 80021660161000000
8161261002 = 666061811101210000
8162610002 = 666282020121000000
10000000002 = 1000000000000000000
10000000012 = 1000000002000000001
10000000102 = 1000000020000000100
10000000112 = 1000000022000000121
10000001002 = 1000000200000010000
10000001012 = 1000000202000010201
10000001102 = 1000000220000012100
10000010002 = 1000002000001000000
10000010012 = 1000002002001002001
10000010102 = 1000002020001020100
10000010112 = 1000002022001022121
10000011002 = 1000002200001210000
10000011012 = 1000002202001212201
10000100002 = 1000020000100000000
10000100012 = 1000020002100020001
10000100102 = 1000020020100200100
10000100112 = 1000020022100220121
10000101002 = 1000020200102010000
10000101102 = 1000020220102212100
10000108012 = 1000021602116661601
10000110002 = 1000022000121000000
10000110012 = 1000022002121022001
10000110102 = 1000022020121220100
10001000002 = 1000200010000000000
10001000012 = 1000200012000200001
10001001002 = 1000200210020010000
10001001012 = 1000200212020210201
10001010002 = 1000202010201000000
10001010012 = 1000202012201202001
10001011002 = 1000202210221210000
10001100002 = 1000220012100000000
10001101002 = 1000220212122010000
10008000102 = 1001600660016000100
10010000002 = 1002001000000000000
10010000012 = 1002001002002000001
10010000102 = 1002001020020000100
10010000112 = 1002001022022000121
10010001002 = 1002001200200010000
10010001012 = 1002001202202010201
10010001102 = 1002001220220012100
10010100002 = 1002021020100000000
10010100012 = 1002021022102020001
10011000002 = 1002201210000000000
10011000012 = 1002201212002200001
10080010002 = 1016066016001000000
10080261002 = 1016116618281210000
10100000002 = 1020100000000000000
10100000012 = 1020100002020000001
10100000102 = 1020100020200000100
10100000112 = 1020100022220000121
10100001002 = 1020100202000010000
10100001102 = 1020100222200012100
10100010002 = 1020102020001000000
10100010012 = 1020102022021002001
10100011002 = 1020102222001210000
10100100002 = 1020120200100000000
10100100012 = 1020120202120020001
10100110002 = 1020122220121000000
10100800102 = 1020261626601600100
10110000002 = 1022121000000000000
10110000012 = 1022121002022000001
10110000102 = 1022121020220000100
10110001002 = 1022121202200010000
10611628812 = 1126066660012220161
10622061012 = 1128281801001622201
10801000002 = 1166616010000000000
10801000012 = 1166616012160200001
10801001002 = 1166616226020010000
10801001012 = 1166616228180210201
10808000102 = 1168128661616000100
11000000002 = 1210000000000000000
11000000012 = 1210000002200000001
11000000102 = 1210000022000000100
11000001002 = 1210000220000010000
11000001012 = 1210000222200010201
11000010002 = 1210002200001000000
11000010012 = 1210002202201002001
11000010102 = 1210002222001020100
11000100002 = 1210022000100000000
11000100102 = 1210022022100200100
11000101002 = 1210022220102010000
11001000002 = 1210220010000000000
11001000012 = 1210220012200200001
11001010002 = 1210222210201000000
11002800112 = 1210616102606160121
11010000002 = 1212201000000000000
11010000012 = 1212201002202000001
11010000102 = 1212201022020000100
11010001002 = 1212201220200010000
11010080012 = 1212218618266016001
11010280112 = 1212262681006616121
11012206012 = 1212686812066801201
11028001102 = 1216168082616012100
11261000002 = 1268101210000000000
16182281012 = 2618662186866066201
16211626102 = 2628168208062012100
26080280112 = 6801810106160616121
26080801002 = 6802081808016010000
26100000002 = 6812100000000000000
26101000002 = 6812622010000000000
26101000102 = 6812622062202000100
26108010002 = 6816281861601000000
26108010012 = 6816281866822602001
28288100002 = 8002166016100000000
81610208812 = 66602261820118016161
81612610002 = 66606181110121000000
81621128812 = 66620086682186120161
81626100002 = 66628202012100000000
100000000002 = 100000000000000000000
100000000012 = 100000000020000000001
100000000102 = 100000000200000000100
100000000112 = 100000000220000000121
100000001002 = 100000002000000010000
100000001012 = 100000002020000010201
100000001102 = 100000002200000012100
100000010002 = 100000020000001000000
100000010012 = 100000020020001002001
100000010102 = 100000020200001020100
100000010112 = 100000020220001022121
100000011002 = 100000022000001210000
100000011012 = 100000022020001212201
100000100002 = 100000200000100000000
100000100012 = 100000200020100020001
100000100102 = 100000200200100200100
100000100112 = 100000200220100220121
100000101002 = 100000202000102010000
100000101102 = 100000202200102212100
100000108012 = 100000216020116661601
100000110002 = 100000220000121000000
100000110012 = 100000220020121022001
100000110102 = 100000220200121220100
100001000002 = 100002000010000000000
100001000102 = 100002000210002000100
100001001002 = 100002002010020010000
100001001102 = 100002002210022012100
100001010002 = 100002020010201000000
100001011002 = 100002022010221210000
100001080102 = 100002160211666160100
100001100002 = 100002200012100000000
100001100102 = 100002200212102200100
100001101002 = 100002202012122010000
100008000012 = 100016000660001600001
100008001012 = 100016002660161610201
100008010012 = 100016020661602602001
100008010112 = 100016020861618622121
100010000002 = 100020001000000000000
100010000012 = 100020001020002000001
100010000102 = 100020001200020000100
100010000112 = 100020001220022000121
100010010002 = 100020021002001000000
100010010102 = 100020021202021020100
100010100002 = 100020201020100000000
100010100102 = 100020201220120200100
100010110002 = 100020221022121000000
100011000002 = 100022001210000000000
100011010002 = 100022021212201000000
100080001002 = 100160066001600010000
100080001012 = 100160066021616010201
100100000002 = 100200100000000000000
100100000012 = 100200100020020000001
100100000102 = 100200100200200000100
100100000112 = 100200100220220000121
100100001002 = 100200102002000010000
100100001012 = 100200102022020010201
100100001102 = 100200102202200012100
100100010002 = 100200120020001000000
100100010102 = 100200120220201020100
100100011002 = 100200122022001210000
100101000002 = 100202102010000000000
100101000102 = 100202102210202000100
100108000012 = 100216116660021600001
100108001012 = 100216118662181610201
100110000002 = 100220121000000000000
100110000012 = 100220121020022000001
100110000102 = 100220121200220000100
100606168812 = 101216012026262168161
100800100002 = 101606601600100000000
100800100012 = 101606601620260020001
100800100112 = 101606601821860220121
100800802612 = 101608018068201828121
100802610002 = 101611661828121000000
101000000002 = 102010000000000000000
101000000012 = 102010000020200000001
101000000102 = 102010000202000000100
101000000112 = 102010000222200000121
101000001002 = 102010002020000010000
101000001102 = 102010002222000012100
101000010002 = 102010020200001000000
101000010012 = 102010020220201002001
101000011002 = 102010022220001210000
101000100002 = 102010202000100000000
101000100102 = 102010202202100200100
101000110002 = 102010222200121000000
101000800012 = 102011616026600160001
101001000002 = 102012020010000000000
101001000102 = 102012020212002000100
101001100002 = 102012222012100000000
101008000012 = 102026160660201600001
101008001002 = 102026162660160010000
101008010012 = 102026180861802602001
101100000002 = 102212100000000000000
101100000012 = 102212100020220000001
101100000102 = 102212100202200000100
101100001002 = 102212102022000010000
101100010002 = 102212120220001000000
101100011012 = 102212122262221212201
106116288102 = 112606666001222016100
106208102612 = 112801610600162888121
106220610102 = 112828180100162220100
108010000002 = 116661601000000000000
108010000012 = 116661601021602000001
108010000102 = 116661601216020000100
108010010002 = 116661622602001000000
108010010102 = 116661622818021020100
108080001002 = 116812866161600010000
110000000002 = 121000000000000000000
110000000012 = 121000000022000000001
110000000102 = 121000000220000000100
110000001002 = 121000002200000010000
110000001012 = 121000002222000010201
110000010002 = 121000022000001000000
110000010012 = 121000022022001002001
110000010102 = 121000022220001020100
110000100002 = 121000220000100000000
110000100012 = 121000220022100020001
110000100102 = 121000220220100200100
110000101002 = 121000222200102010000
110001000002 = 121002200010000000000
110001001002 = 121002202210020010000
110001010002 = 121002222010201000000
110010000002 = 121022001000000000000
110010000012 = 121022001022002000001
110010000102 = 121022001220020000100
110010100002 = 121022221020100000000
110010100112 = 121022221262122220121
110028000112 = 121061608082061600121
110028001102 = 121061610260616012100
110100000002 = 121220100000000000000
110100000012 = 121220100022020000001
110100000102 = 121220100220200000100
110100001002 = 121220102202000010000
110100010002 = 121220122020001000000
110100010112 = 121220122262221022121
110100800102 = 121221861826601600100
110102801102 = 121226268100661612100
110122060102 = 121268681206680120100
110280011002 = 121616808261601210000
110818828812 = 122808128188200860161
112610000002 = 126810121000000000000
112610062612 = 126810262010281200121
161822810102 = 261866218686606620100
162111080012 = 262800022620086216001
162116261002 = 262816820806201210000
168006612612 = 282262218806866110121
260802801102 = 680181010616061612100
260808010002 = 680208180801601000000
261000000002 = 681210000000000000000
261001168812 = 681216101201861168161
261010000002 = 681262201000000000000
261010001002 = 681262206220200010000
261010080012 = 681262618668266016001
261080100002 = 681628186160100000000
261080100102 = 681628186682260200100
261281612612 = 682680810880821110121
282881000002 = 800216601610000000000
816102088102 = 6660226182011801616100
816126100002 = 6660618111012100000000
816211288102 = 6662008668218612016100
816261000002 = 6662820201210000000000
1000000000002 = 10000000000000000000000
1000000000012 = 10000000000200000000001
1000000000102 = 10000000002000000000100
1000000000112 = 10000000002200000000121
1000000001002 = 10000000020000000010000
1000000001012 = 10000000020200000010201
1000000001102 = 10000000022000000012100
1000000010002 = 10000000200000001000000
1000000010012 = 10000000200200001002001
1000000010102 = 10000000202000001020100
1000000010112 = 10000000202200001022121
1000000011002 = 10000000220000001210000
1000000011012 = 10000000220200001212201
1000000100002 = 10000002000000100000000
1000000100012 = 10000002000200100020001
1000000100102 = 10000002002000100200100
1000000100112 = 10000002002200100220121
1000000101002 = 10000002020000102010000
1000000101102 = 10000002022000102212100
1000000108012 = 10000002160200116661601
1000000110002 = 10000002200000121000000
1000000110012 = 10000002200200121022001
1000000110102 = 10000002202000121220100
1000001000002 = 10000020000010000000000
1000001000012 = 10000020000210000200001
1000001000102 = 10000020002010002000100
1000001000112 = 10000020002210002200121
1000001001002 = 10000020020010020010000
1000001001012 = 10000020020210020210201
1000001001102 = 10000020022010022012100
1000001010002 = 10000020200010201000000
1000001010012 = 10000020200210201202001
1000001011002 = 10000020220010221210000
1000001080102 = 10000021602011666160100
1000001100002 = 10000022000012100000000
1000001100012 = 10000022000212100220001
1000001100102 = 10000022002012102200100
1000001101002 = 10000022020012122010000
1000010000002 = 10000200001000000000000
1000010000012 = 10000200001200002000001
1000010001002 = 10000200021000200010000
1000010001012 = 10000200021200202010201
1000010010002 = 10000200201002001000000
1000010011002 = 10000200221002201210000
1000010080012 = 10000201601216066016001
1000010100002 = 10000202001020100000000
1000010100012 = 10000202001220102020001
1000010110002 = 10000202201022121000000
1000010801002 = 10000216021166616010000
1000011000002 = 10000220001210000000000
1000011001002 = 10000220021210220010000
1000011010002 = 10000220201212201000000
1000080000102 = 10001600066000160000100
1000080010102 = 10001600266016161020100
1000080100102 = 10001602066160260200100
1000080101102 = 10001602086161862212100
1000100000002 = 10002000100000000000000
1000100000012 = 10002000100200020000001
1000100000102 = 10002000102000200000100
1000100000112 = 10002000102200220000121
1000100001002 = 10002000120002000010000
1000100001012 = 10002000120202020010201
1000100001102 = 10002000122002200012100
1000100100002 = 10002002100200100000000
1000100101002 = 10002002120202102010000
1000101000002 = 10002020102010000000000
1000101000012 = 10002020102210020200001
1000101001002 = 10002020122012020010000
1000101100002 = 10002022102212100000000
1000110000002 = 10002200121000000000000
1000110000012 = 10002200121200022000001
1000110100002 = 10002202121220100000000
1000800010002 = 10016006600160001000000
1000800010102 = 10016006602161601020100
1001000000002 = 10020010000000000000000
1001000000012 = 10020010000200200000001
1001000000102 = 10020010002002000000100
1001000000112 = 10020010002202200000121
1001000001002 = 10020010020020000010000
1001000001012 = 10020010020220200010201
1001000001102 = 10020010022022000012100
1001000010002 = 10020010200200001000000
1001000010102 = 10020010202202001020100
1001000011002 = 10020010220220001210000
1001000100002 = 10020012002000100000000
1001000101002 = 10020012022020102010000
1001000110002 = 10020012202200121000000
1001000800012 = 10020026016206600160001
1001010000002 = 10020210201000000000000
1001010000012 = 10020210201200202000001
1001010001002 = 10020210221020200010000
1001010080012 = 10020211802816266016001
1001080000102 = 10021611666002160000100
1001080010102 = 10021611866218161020100
1001100000002 = 10022012100000000000000
1001100000012 = 10022012100200220000001
1001100000102 = 10022012102002200000100
1001100001002 = 10022012120022000010000
1001100001012 = 10022012120222220010201
1006061688102 = 10121601202626216816100
1008001000002 = 10160660160010000000000
1008001000012 = 10160660160211600200001
1008001000102 = 10160660162026002000100
1008001001102 = 10160660182186022012100
1008008026102 = 10160801806820182812100
1008026100002 = 10161166182812100000000
1010000000002 = 10201000000000000000000
1010000000012 = 10201000000202000000001
1010000000102 = 10201000002020000000100
1010000000112 = 10201000002222000000121
1010000001002 = 10201000020200000010000
1010000001102 = 10201000022220000012100
1010000010002 = 10201000202000001000000
1010000010012 = 10201000202202001002001
1010000011002 = 10201000222200001210000
1010000100002 = 10201002020000100000000
1010000100012 = 10201002020202100020001
1010000100102 = 10201002022020100200100
1010000100112 = 10201002022222100220121
1010000108012 = 10201002181802116661601
1010000110002 = 10201002222000121000000
1010000110012 = 10201002222202121022001
1010001000002 = 10201020200010000000000
1010001000012 = 10201020200212000200001
1010001001002 = 10201020220210020010000
1010001100002 = 10201022220012100000000
1010008000102 = 10201161602660016000100
1010010000002 = 10201202001000000000000
1010010000012 = 10201202001202002000001
1010010001002 = 10201202021200200010000
1010011000002 = 10201222201210000000000
1010011001012 = 10201222221612222210201
1010080000102 = 10202616066020160000100
1010080010002 = 10202616266016001000000
1010080100102 = 10202618086180260200100
1011000000002 = 10221210000000000000000
1011000000012 = 10221210000202200000001
1011000000102 = 10221210002022000000100
1011000001002 = 10221210020220000010000
1011000010002 = 10221210202200001000000
1011000011012 = 10221210222622201212201
1011000100002 = 10221212022000100000000
1011000110102 = 10221212226222121220100
1011020208812 = 10221618626222160016161
1061162881002 = 11260666600122201610000
1062081026102 = 11280161060016288812100
1062121080012 = 11281011886016088216001
1062206101002 = 11282818010016222010000
1080100000002 = 11666160100000000000000
1080100000012 = 11666160100216020000001
1080100000102 = 11666160102160200000100
1080100001002 = 11666160121602000010000
1080100001012 = 11666160121818020010201
1080100100002 = 11666162260200100000000
1080100101002 = 11666162281802102010000
1080800010002 = 11681286616160001000000
1100000000002 = 12100000000000000000000
1100000000012 = 12100000000220000000001
1100000000102 = 12100000002200000000100
1100000001002 = 12100000022000000010000
1100000001012 = 12100000022220000010201
1100000010002 = 12100000220000001000000
1100000010012 = 12100000220220001002001
1100000010102 = 12100000222200001020100
1100000100002 = 12100002200000100000000
1100000100012 = 12100002200220100020001
1100000100102 = 12100002202200100200100
1100000101002 = 12100002222000102010000
1100001000002 = 12100022000010000000000
1100001000102 = 12100022002210002000100
1100001001002 = 12100022022010020010000
1100001010002 = 12100022220010201000000
1100010000002 = 12100220001000000000000
1100010000012 = 12100220001220002000001
1100010010002 = 12100220221002001000000
1100010100002 = 12100222201020100000000
1100028000112 = 12100616010260061600121
1100100000002 = 12102200100000000000000
1100100000012 = 12102200100220020000001
1100100000102 = 12102200102200200000100
1100100001002 = 12102200122002000010000
1100100001012 = 12102200122222020010201
1100101000002 = 12102222102010000000000
1100101001102 = 12102222126212222012100
1100128000112 = 12102816166260281600121
1100128002612 = 12102816221266681668121
1100280001102 = 12106160808206160012100
1100280011002 = 12106161026061601210000
1101000000002 = 12122010000000000000000
1101000000012 = 12122010000220200000001
1101000000102 = 12122010002202000000100
1101000001002 = 12122010022020000010000
1101000010002 = 12122010220200001000000
1101000010112 = 12122010222622201022121
1101000100002 = 12122012202000100000000
1101000101102 = 12122012226222102212100
1101008000012 = 12122186160860201600001
1101008001002 = 12122186182660160010000
1101028011002 = 12122626810066161210000
1101220601002 = 12126868120668012010000
1102800100112 = 12161680608026260220121
1102800110002 = 12161680826160121000000
1108188288102 = 12280812818820086016100
1126100000002 = 12681012100000000000000
1126100626102 = 12681026201028120012100
1616201168812 = 26121062180628101168161
1618228101002 = 26186621868660662010000
1621110800102 = 26280002262008621600100
1621162610002 = 26281682080620121000000
1680066126102 = 28226221880686611012100
2608028011002 = 68018101061606161210000
2608080100002 = 68020818080160100000000
2608218010112 = 68028011882621680622121
2608218206012 = 68028022101620228001201
2610000000002 = 68121000000000000000000
2610011688102 = 68121610120186116816100
2610100000002 = 68126220100000000000000
2610100010002 = 68126220622020001000000
2610100800102 = 68126261866826601600100
2610801000002 = 68162818616010000000000
2610801001002 = 68162818668226020010000
2612816126102 = 68268081088082111012100
2828810000002 = 80021660161000000000000
8161020881002 = 666022618201180161610000
8161261000002 = 666061811101210000000000
8162112881002 = 666200866821861201610000
8162610000002 = 666282020121000000000000
10000000000002 = 1000000000000000000000000
10000000000012 = 1000000000002000000000001
10000000000102 = 1000000000020000000000100
10000000000112 = 1000000000022000000000121
10000000001002 = 1000000000200000000010000
10000000001012 = 1000000000202000000010201
10000000001102 = 1000000000220000000012100
10000000010002 = 1000000002000000001000000
10000000010012 = 1000000002002000001002001
10000000010102 = 1000000002020000001020100
10000000010112 = 1000000002022000001022121
10000000011002 = 1000000002200000001210000
10000000011012 = 1000000002202000001212201
10000000100002 = 1000000020000000100000000
10000000100012 = 1000000020002000100020001
10000000100102 = 1000000020020000100200100
10000000100112 = 1000000020022000100220121
10000000101002 = 1000000020200000102010000
10000000101102 = 1000000020220000102212100
10000000108012 = 1000000021602000116661601
10000000110002 = 1000000022000000121000000
10000000110012 = 1000000022002000121022001
10000000110102 = 1000000022020000121220100
10000001000002 = 1000000200000010000000000
10000001000012 = 1000000200002010000200001
10000001000102 = 1000000200020010002000100
10000001000112 = 1000000200022010002200121
10000001001002 = 1000000200200010020010000
10000001001012 = 1000000200202010020210201
10000001001102 = 1000000200220010022012100
10000001010002 = 1000000202000010201000000
10000001010012 = 1000000202002010201202001
10000001011002 = 1000000202200010221210000
10000001080102 = 1000000216020011666160100
10000001100002 = 1000000220000012100000000
10000001100012 = 1000000220002012100220001
10000001100102 = 1000000220020012102200100
10000001101002 = 1000000220200012122010000
10000010000002 = 1000002000001000000000000
10000010000102 = 1000002000021000020000100
10000010001002 = 1000002000201000200010000
10000010001102 = 1000002000221000220012100
10000010010002 = 1000002002001002001000000
10000010010102 = 1000002002021002021020100
10000010011002 = 1000002002201002201210000
10000010100002 = 1000002020001020100000000
10000010100102 = 1000002020021020120200100
10000010110002 = 1000002022001022121000000
10000010801002 = 1000002160201166616010000
10000011000002 = 1000002200001210000000000
10000011000102 = 1000002200021210022000100
10000011001002 = 1000002200201210220010000
10000011010002 = 1000002202001212201000000
10000080000012 = 1000016000066000016000001
10000080001012 = 1000016000266001616010201
10000080080012 = 1000016016066128080016001
10000080100012 = 1000016020066160116020001
10000100000002 = 1000020000100000000000000
10000100000012 = 1000020000102000020000001
10000100000102 = 1000020000120000200000100
10000100000112 = 1000020000122000220000121
10000100010002 = 1000020002100020001000000
10000100010012 = 1000020002102020021002001
10000100010102 = 1000020002120020201020100
10000100010112 = 1000020002122020221022121
10000100100002 = 1000020020100200100000000
10000100100012 = 1000020020102200120020001
10000100110002 = 1000020022100220121000000
10000100800102 = 1000020160121606601600100
10000101000002 = 1000020200102010000000000
10000101000102 = 1000020200122010202000100
10000101100002 = 1000020220102212100000000
10000108010002 = 1000021602116661601000000
10000108010012 = 1000021602118661622602001
10000110000002 = 1000022000121000000000000
10000110010002 = 1000022002121022001000000
10000110100002 = 1000022020121220100000000
10000800001002 = 1000160006600016000010000
10000800001012 = 1000160006602016160010201
10000800101002 = 1000160026601616102010000
10000801001002 = 1000160206616026020010000
10000801001012 = 1000160206618026180210201
10000801011002 = 1000160208616186221210000
10001000000002 = 1000200010000000000000000
10001000000012 = 1000200010002000200000001
10001000000102 = 1000200010020002000000100
10001000000112 = 1000200010022002200000121
10001000001002 = 1000200010200020000010000
10001000001012 = 1000200010202020200010201
10001000001102 = 1000200010220022000012100
10001000010002 = 1000200012000200001000000
10001000010012 = 1000200012002200201002001
10001000010102 = 1000200012020202001020100
10001000010112 = 1000200012022202201022121
10001000011002 = 1000200012200220001210000
10001000011012 = 1000200012202220201212201
10001001000002 = 1000200210020010000000000
10001001000012 = 1000200210022010200200001
10001001010002 = 1000200212020210201000000
10001010000002 = 1000202010201000000000000
10001010000102 = 1000202010221002020000100
10001010010002 = 1000202012201202001000000
10001011000002 = 1000202210221210000000000
10001080000012 = 1000216011666000216000001
10001080001012 = 1000216011866021816010201
10001100000002 = 1000220012100000000000000
10001100000012 = 1000220012102000220000001
10001100000102 = 1000220012120002200000100
10001101000002 = 1000220212122010000000000
10006012206012 = 1001202802668211066801201
10008000100002 = 1001600660016000100000000
10008000101002 = 1001600660216160102010000
10010000000002 = 1002001000000000000000000
10010000000012 = 1002001000002002000000001
10010000000102 = 1002001000020020000000100
10010000000112 = 1002001000022022000000121
10010000001002 = 1002001000200200000010000
10010000001012 = 1002001000202202000010201
10010000001102 = 1002001000220220000012100
10010000010002 = 1002001002002000001000000
10010000010102 = 1002001002022020001020100
10010000011002 = 1002001002202200001210000
10010000100002 = 1002001020020000100000000
10010000100012 = 1002001020022002100020001
10010000101002 = 1002001020220200102010000
10010000110002 = 1002001022022000121000000
10010001000002 = 1002001200200010000000000
10010001000012 = 1002001200202012000200001
10010001010002 = 1002001202202010201000000
10010001100002 = 1002001220220012100000000
10010008000102 = 1002002601620660016000100
10010100000002 = 1002021020100000000000000
10010100000012 = 1002021020102002020000001
10010100000102 = 1002021020120020200000100
10010100000112 = 1002021020122022220000121
10010100010002 = 1002021022102020001000000
10010100800102 = 1002021180281626601600100
10010800001002 = 1002161166600216000010000
10010800001012 = 1002161166602218160010201
10010800101002 = 1002161186621816102010000
10011000000002 = 1002201210000000000000000
10011000000012 = 1002201210002002200000001
10011000000102 = 1002201210020022000000100
10011000001002 = 1002201210200220000010000
10011000001012 = 1002201210202222200010201
10011000010002 = 1002201212002200001000000
10011000010102 = 1002201212022222001020100
10060616881002 = 1012160120262621681610000
10080010000002 = 1016066016001000000000000
10080010000102 = 1016066016021160020000100
10080010001002 = 1016066016202600200010000
10080010011002 = 1016066018218602201210000
10080080000012 = 1016080128066016016000001
10080080261002 = 1016080180682018281210000
10080261000002 = 1016116618281210000000000
10100000000002 = 1020100000000000000000000
10100000000012 = 1020100000002020000000001
10100000000102 = 1020100000020200000000100
10100000000112 = 1020100000022220000000121
10100000001002 = 1020100000202000000010000
10100000001102 = 1020100000222200000012100
10100000010002 = 1020100002020000001000000
10100000010012 = 1020100002022020001002001
10100000011002 = 1020100002222000001210000
10100000100002 = 1020100020200000100000000
10100000100012 = 1020100020202020100020001
10100000100102 = 1020100020220200100200100
10100000100112 = 1020100020222220100220121
10100000108012 = 1020100021818020116661601
10100000110002 = 1020100022220000121000000
10100000110012 = 1020100022222020121022001
10100001000002 = 1020100202000010000000000
10100001000102 = 1020100202020210002000100
10100001001002 = 1020100202202010020010000
10100001001102 = 1020100202222210022012100
10100001080102 = 1020100218180211666160100
10100001100002 = 1020100222200012100000000
10100001100102 = 1020100222220212102200100
10100008000012 = 1020101616002660001600001
10100008010012 = 1020101618022661602602001
10100010000002 = 1020102020001000000000000
10100010000102 = 1020102020021200020000100
10100010010002 = 1020102022021002001000000
10100011000002 = 1020102222001210000000000
10100080000012 = 1020116160066020016000001
10100080001002 = 1020116160266001600010000
10100080001012 = 1020116160268021616010201
10100080100012 = 1020116180266180116020001
10100100000002 = 1020120200100000000000000
10100100000012 = 1020120200102020020000001
10100100000102 = 1020120200120200200000100
10100100000112 = 1020120200122220220000121
10100100010002 = 1020120202120020001000000
10100108000012 = 1020121816118660021600001
10100110000002 = 1020122220121000000000000
10100110010102 = 1020122222161222221020100
10100800001002 = 1020261606602016000010000
10100800100002 = 1020261626601600100000000
10100801001002 = 1020261808618026020010000
10110000000002 = 1022121000000000000000000
10110000000012 = 1022121000002022000000001
10110000000102 = 1022121000020220000000100
10110000001002 = 1022121000202200000010000
10110000010002 = 1022121002022000001000000
10110000011012 = 1022121002226222001212201
10110000100002 = 1022121020220000100000000
10110000100012 = 1022121020222022100020001
10110000110102 = 1022121022262220121220100
10110001000002 = 1022121202200010000000000
10110001101002 = 1022121222622212122010000
10110202088102 = 1022161862622216001616100
10611628810002 = 1126066660012220161000000
10620810261002 = 1128016106001628881210000
10621210800102 = 1128101188601608821600100
10621680102612 = 1128200882021811801288121
10622061010002 = 1128281801001622201000000
10801000000002 = 1166616010000000000000000
10801000000012 = 1166616010002160200000001
10801000000102 = 1166616010021602000000100
10801000001002 = 1166616010216020000010000
10801000001012 = 1166616010218180200010201
10801000010002 = 1166616012160200001000000
10801000010102 = 1166616012181802001020100
10801000800012 = 1166616182818166600160001
10801001000002 = 1166616226020010000000000
10801001010002 = 1166616228180210201000000
10808000100002 = 1168128661616000100000000
10811160281012 = 1168811866216882221666201
10868680080012 = 1181282066816061800016001
11000000000002 = 1210000000000000000000000
11000000000012 = 1210000000002200000000001
11000000000102 = 1210000000022000000000100
11000000001002 = 1210000000220000000010000
11000000001012 = 1210000000222200000010201
11000000010002 = 1210000002200000001000000
11000000010012 = 1210000002202200001002001
11000000010102 = 1210000002222000001020100
11000000100002 = 1210000022000000100000000
11000000100012 = 1210000022002200100020001
11000000100102 = 1210000022022000100200100
11000000101002 = 1210000022220000102010000
11000001000002 = 1210000220000010000000000
11000001000012 = 1210000220002210000200001
11000001000102 = 1210000220022010002000100
11000001001002 = 1210000220220010020010000
11000001001012 = 1210000220222210020210201
11000001010002 = 1210000222200010201000000
11000001010012 = 1210000222202210201202001
11000010000002 = 1210002200001000000000000
11000010001002 = 1210002200221000200010000
11000010010002 = 1210002202201002001000000
11000010100002 = 1210002222001020100000000
11000100000002 = 1210022000100000000000000
11000100000012 = 1210022000102200020000001
11000100000102 = 1210022000122000200000100
11000100100002 = 1210022022100200100000000
11000101000002 = 1210022220102010000000000
11000101000112 = 1210022220126210222200121
11000280000112 = 1210061600808200616000121
11000280001102 = 1210061601026006160012100
11001000000002 = 1210220010000000000000000
11001000000012 = 1210220010002200200000001
11001000000102 = 1210220010022002000000100
11001000001002 = 1210220010220020000010000
11001000001012 = 1210220010222220200010201
11001000010002 = 1210220012200200001000000
11001000010102 = 1210220012222202001020100
11001000800012 = 1210220186018206600160001
11001002800112 = 1210220626080280606160121
11001010000002 = 1210222210201000000000000
11001010011002 = 1210222212621222201210000
11001280001102 = 1210281616626028160012100
11001280026102 = 1210281622126668166812100
11002800011002 = 1210616080820616001210000
11002800110002 = 1210616102606160121000000
11002808806012 = 1210618016216112018121201
11010000000002 = 1212201000000000000000000
11010000000012 = 1212201000002202000000001
11010000000102 = 1212201000022020000000100
11010000001002 = 1212201000220200000010000
11010000010002 = 1212201002202000001000000
11010000010112 = 1212201002226222001022121
11010000100002 = 1212201022020000100000000
11010000100012 = 1212201022022202100020001
11010000101102 = 1212201022262220102212100
11010001000002 = 1212201220200010000000000
11010001000012 = 1212201220202212000200001
11010001011002 = 1212201222622210221210000
11010080000012 = 1212218616066202016000001
11010080000102 = 1212218616086020160000100
11010080010002 = 1212218618266016001000000
11010280110002 = 1212262681006616121000000
11012121080012 = 1212668106808006088216001
11012206010002 = 1212686812066801201000000
11012822800112 = 1212822660266226610160121
11028001001102 = 1216168060802626022012100
11028001100002 = 1216168082616012100000000
11081882881002 = 1228081281882008601610000
11261000000002 = 1268101210000000000000000
11261006261002 = 1268102620102812001210000
16161128261012 = 2611820666688161066862201
16162011688102 = 2612106218062810116816100
16182281010002 = 2618662186866066201000000
16186600100112 = 2620060228008810620220121
16211108001002 = 2628000226200862160010000
16211626100002 = 2628168208062012100000000
16800661261002 = 2822622188068661101210000
26080280110002 = 6801810106160616121000000
26080801000002 = 6802081808016010000000000
26080801000012 = 6802081808021226160200001
26080801100012 = 6802081860182828260220001
26082180101102 = 6802801188262168062212100
26082182060102 = 6802802210162022800120100
26082200610012 = 6802811886608060161122001
26100000000002 = 6812100000000000000000000
26100116881002 = 6812161012018611681610000
26100128000112 = 6812166816221260281600121
26101000000002 = 6812622010000000000000000
26101000100002 = 6812622062202000100000000
26101008001002 = 6812626186682660160010000
26101088268812 = 6812668088162110028188161
26108010000002 = 6816281861601000000000000
26108010000012 = 6816281861606221602000001
26108010010002 = 6816281866822602001000000
26112882281012 = 6818826210218860206066201
26128161261002 = 6826808108808211101210000
28288100000002 = 8002166016100000000000000
28682200261012 = 8226686118126821121262201
81610208810002 = 66602261820118016161000000
81612610000002 = 66606181110121000000000000
81621128810002 = 66620086682186120161000000
81626100000002 = 66628202012100000000000000