02 = 0
12 = 1
52 = 25
102 = 100
112 = 121
152 = 225
502 = 2500
1002 = 10000
1012 = 10201
1052 = 11025
1102 = 12100
1502 = 22500
5002 = 250000
5012 = 251001
5052 = 255025
7112 = 505521
7152 = 511225
7552 = 570025
10002 = 1000000
10012 = 1002001
10052 = 1010025
10102 = 1020100
10112 = 1022121
10502 = 1102500
11002 = 1210000
11012 = 1212201
11052 = 1221025
12552 = 1575025
15002 = 2250000
50002 = 25000000
50012 = 25010001
50052 = 25050025
50102 = 25100100
50112 = 25110121
50152 = 25150225
50502 = 25502500
71102 = 50552100
71502 = 51122500
72512 = 52577001
75502 = 57002500
100002 = 100000000
100012 = 100020001
100052 = 100100025
100102 = 100200100
100112 = 100220121
100502 = 101002500
101002 = 102010000
101052 = 102111025
101102 = 102212100
105002 = 110250000
105012 = 110271001
110002 = 121000000
110012 = 121022001
110052 = 121110025
110102 = 121220100
110502 = 122102500
112052 = 125552025
125502 = 157502500
150002 = 225000000
150052 = 225150025
227052 = 515517025
275152 = 757075225
500002 = 2500000000
500012 = 2500100001
500052 = 2500500025
500102 = 2501000100
500112 = 2501100121
500152 = 2501500225
500502 = 2505002500
501002 = 2510010000
501012 = 2510110201
501052 = 2510511025
501102 = 2511012100
501502 = 2515022500
505002 = 2550250000
505052 = 2550755025
507152 = 2572011225
711002 = 5055210000
712052 = 5070152025
712552 = 5077275025
715002 = 5112250000
722512 = 5220207001
725102 = 5257700100
755002 = 5700250000
755052 = 5701005025
755152 = 5702515225
1000002 = 10000000000
1000012 = 10000200001
1000052 = 10001000025
1000102 = 10002000100
1000112 = 10002200121
1000502 = 10010002500
1001002 = 10020010000
1001012 = 10020210201
1001052 = 10021011025
1001102 = 10022012100
1005002 = 10100250000
1005052 = 10101255025
1007552 = 10151570025
1010002 = 10201000000
1010012 = 10201202001
1010052 = 10202010025
1010502 = 10211102500
1011002 = 10221210000
1011052 = 10222221025
1012552 = 10252575025
1025052 = 10507275025
1050002 = 11025000000
1050012 = 11025210001
1050102 = 11027100100
1072512 = 11502777001
1100002 = 12100000000
1100012 = 12100220001
1100052 = 12101100025
1100102 = 12102200100
1100502 = 12111002500
1101002 = 12122010000
1105002 = 12210250000
1120502 = 12555202500
1255002 = 15750250000
1255012 = 15750501001
1255052 = 15751505025
1500002 = 22500000000
1500052 = 22501500025
1500502 = 22515002500
1507152 = 22715011225
1507552 = 22727070025
2270502 = 51551702500
2751502 = 75707522500
5000002 = 250000000000
5000012 = 250001000001
5000052 = 250005000025
5000102 = 250010000100
5000112 = 250011000121
5000152 = 250015000225
5000502 = 250050002500
5001002 = 250100010000
5001012 = 250101010201
5001052 = 250105011025
5001102 = 250110012100
5001502 = 250150022500
5005002 = 250500250000
5005012 = 250501251001
5005052 = 250505255025
5007112 = 250711505521
5007152 = 250715511225
5007552 = 250755570025
5010002 = 251001000000
5010012 = 251002002001
5010102 = 251011020100
5010112 = 251012022121
5010502 = 251051102500
5011002 = 251101210000
5011012 = 251102212201
5015002 = 251502250000
5025012 = 252507255001
5025052 = 252511275025
5050002 = 255025000000
5050502 = 255075502500
5051012 = 255127020201
5071502 = 257201122500
5201012 = 270505050201
7107112 = 505110125521
7110002 = 505521000000
7120502 = 507015202500
7125502 = 507727502500
7150002 = 511225000000
7225102 = 522020700100
7251002 = 525770010000
7550002 = 570025000000
7550502 = 570100502500
7551012 = 570177520201
7551502 = 570251522500
10000002 = 1000000000000
10000012 = 1000002000001
10000052 = 1000010000025
10000102 = 1000020000100
10000112 = 1000022000121
10000502 = 1000100002500
10001002 = 1000200010000
10001012 = 1000202010201
10001052 = 1000210011025
10001102 = 1000220012100
10005002 = 1001000250000
10005012 = 1001002251001
10005052 = 1001010255025
10007552 = 1001510570025
10010002 = 1002001000000
10010052 = 1002011010025
10010102 = 1002021020100
10010502 = 1002101102500
10011002 = 1002201210000
10011052 = 1002211221025
10012552 = 1002511575025
10050002 = 1010025000000
10050012 = 1010027010001
10050152 = 1010055150225
10050502 = 1010125502500
10075502 = 1015157002500
10100002 = 1020100000000
10100012 = 1020102020001
10100052 = 1020110100025
10100102 = 1020120200100
10100112 = 1020122220121
10100502 = 1020201002500
10105002 = 1021110250000
10105012 = 1021112271001
10110002 = 1022121000000
10110502 = 1022222102500
10125502 = 1025257502500
10250502 = 1050727502500
10272052 = 1055150112025
10500002 = 1102500000000
10500012 = 1102502100001
10500052 = 1102510500025
10500102 = 1102521000100
10501002 = 1102710010000
10501012 = 1102712110201
10501052 = 1102720511025
10725102 = 1150277700100
11000002 = 1210000000000
11000012 = 1210002200001
11000052 = 1210011000025
11000102 = 1210022000100
11000502 = 1210110002500
11001002 = 1210220010000
11001012 = 1210222210201
11005002 = 1211100250000
11005052 = 1211111255025
11010002 = 1212201000000
11010052 = 1212212010025
11010112 = 1212225222121
11025052 = 1215517275025
11050002 = 1221025000000
11050012 = 1221027210001
11205002 = 1255520250000
11212552 = 1257212775025
12550002 = 1575025000000
12550012 = 1575027510001
12550102 = 1575050100100
12550502 = 1575150502500
15000002 = 2250000000000
15000052 = 2250015000025
15000502 = 2250150002500
15005002 = 2251500250000
15005052 = 2251515255025
15025052 = 2257521275025
15071502 = 2271501122500
15075502 = 2272707002500
22705002 = 5155170250000
22705112 = 5155220201121
27515002 = 7570752250000
50000002 = 25000000000000
50000012 = 25000010000001
50000052 = 25000050000025
50000102 = 25000100000100
50000112 = 25000110000121
50000152 = 25000150000225
50000502 = 25000500002500
50001002 = 25001000010000
50001012 = 25001010010201
50001052 = 25001050011025
50001102 = 25001100012100
50001502 = 25001500022500
50005002 = 25005000250000
50005012 = 25005010251001
50005052 = 25005050255025
50007112 = 25007110505521
50007152 = 25007150511225
50007552 = 25007550570025
50010002 = 25010001000000
50010012 = 25010011002001
50010052 = 25010051010025
50010102 = 25010101020100
50010112 = 25010111022121
50010502 = 25010501102500
50011002 = 25011001210000
50011012 = 25011011212201
50011052 = 25011051221025
50012552 = 25012551575025
50015002 = 25015002250000
50050002 = 25050025000000
50050052 = 25050075050025
50050102 = 25050125100100
50050152 = 25050175150225
50050502 = 25050525502500
50071102 = 25071150552100
50071502 = 25071551122500
50075502 = 25075557002500
50100002 = 25100100000000
50100012 = 25100110020001
50100052 = 25100150100025
50100102 = 25100200200100
50100112 = 25100210220121
50101002 = 25101102010000
50101052 = 25101152111025
50101102 = 25101202212100
50105002 = 25105110250000
50105012 = 25105120271001
50110002 = 25110121000000
50110052 = 25110171110025
50110102 = 25110221220100
50112052 = 25112175552025
50150002 = 25150225000000
50150052 = 25150275150025
50217052 = 25217521107025
50250102 = 25250725500100
50250152 = 25250775750225
50250502 = 25251127502500
50255052 = 25255700505025
50257112 = 25257771055521
50500002 = 25502500000000
50500012 = 25502510100001
50500052 = 25502550500025
50505002 = 25507550250000
50510102 = 25512702020100
50510112 = 25512712122121
50512552 = 25515177075025
50700152 = 25705052100225
50712052 = 25717120152025
50715002 = 25720112250000
50750152 = 25755777250225
52010102 = 27050505020100
71071102 = 50511012552100
71100002 = 50552100000000
71100052 = 50552171100025
71205002 = 50701520250000
71207552 = 50705151770025
71212552 = 50712272775025
71255002 = 50772750250000
71257112 = 50775757255521
71500002 = 51122500000000
71500052 = 51122571500025
71520052 = 51151175520025
71570052 = 51222720570025
72251002 = 52202070010000
72510002 = 52577001000000
72510012 = 52577015502001
75500002 = 57002500000000
75500012 = 57002515100001
75500052 = 57002575500025
75505002 = 57010050250000
75505052 = 57010125755025
75510102 = 57017752020100
75515002 = 57025152250000
100000002 = 100000000000000
100000012 = 100000020000001
100000052 = 100000100000025
100000102 = 100000200000100
100000112 = 100000220000121
100000502 = 100001000002500
100001002 = 100002000010000
100001012 = 100002020010201
100001052 = 100002100011025
100001102 = 100002200012100
100005002 = 100010000250000
100005012 = 100010020251001
100005052 = 100010100255025
100007552 = 100015100570025
100010002 = 100020001000000
100010012 = 100020021002001
100010052 = 100020101010025
100010102 = 100020201020100
100010112 = 100020221022121
100010502 = 100021001102500
100011002 = 100022001210000
100011012 = 100022021212201
100011052 = 100022101221025
100012552 = 100025101575025
100050002 = 100100025000000
100050052 = 100100125050025
100050102 = 100100225100100
100050502 = 100101025502500
100075502 = 100151057002500
100100002 = 100200100000000
100100012 = 100200120020001
100100052 = 100200200100025
100100502 = 100201101002500
100101002 = 100202102010000
100101052 = 100202202111025
100105002 = 100210110250000
100110002 = 100220121000000
100110052 = 100220221110025
100110502 = 100221122102500
100125502 = 100251157502500
100250052 = 100500725250025
100255052 = 100510750505025
100275152 = 100551057075225
100500002 = 101002500000000
100500012 = 101002520100001
100500102 = 101002701000100
100500112 = 101002721100121
100501502 = 101005515022500
100505002 = 101012550250000
100510052 = 101022701510025
100512552 = 101027727075025
100750052 = 101505725750025
100755002 = 101515700250000
101000002 = 102010000000000
101000012 = 102010020200001
101000052 = 102010101000025
101000102 = 102010202000100
101000112 = 102010222200121
101000502 = 102011010002500
101001002 = 102012020010000
101001052 = 102012121011025
101001102 = 102012222012100
101005002 = 102020100250000
101005052 = 102020201255025
101007552 = 102025251570025
101020052 = 102050505020025
101050002 = 102111025000000
101050102 = 102111227100100
101070052 = 102151550070025
101070152 = 102151752210225
101100002 = 102212100000000
101100012 = 102212120220001
101100052 = 102212201100025
101105002 = 102222210250000
101255002 = 102525750250000
101255012 = 102525770501001
102505002 = 105072750250000
102505012 = 105072770751001
102552552 = 105170255115025
102577152 = 105220717021225
102720502 = 105515011202500
102750052 = 105575727750025
105000002 = 110250000000000
105000012 = 110250021000001
105000052 = 110250105000025
105000102 = 110250210000100
105000502 = 110251050002500
105001002 = 110252100010000
105001012 = 110252121010201
105001052 = 110252205011025
105010002 = 110271001000000
105010012 = 110271022002001
105010102 = 110271211020100
105010502 = 110272051102500
105700052 = 111725005700025
105700152 = 111725217100225
107251002 = 115027770010000
110000002 = 121000000000000
110000012 = 121000022000001
110000052 = 121000110000025
110000102 = 121000220000100
110000502 = 121001100002500
110001002 = 121002200010000
110001012 = 121002222010201
110005002 = 121011000250000
110005012 = 121011022251001
110005052 = 121011110255025
110010002 = 121022001000000
110010052 = 121022111010025
110010102 = 121022221020100
110050002 = 121110025000000
110050502 = 121111125502500
110100002 = 121220100000000
110100012 = 121220122020001
110100052 = 121220210100025
110100502 = 121221201002500
110101102 = 121222522212100
110227052 = 121500025517025
110250502 = 121551727502500
110500002 = 122102500000000
110500012 = 122102522100001
110500102 = 122102721000100
110775052 = 122711117025025
112050002 = 125552025000000
112050112 = 125552271510121
112125502 = 125721277502500
122577152 = 150251577021225
125500002 = 157502500000000
125500012 = 157502525100001
125500102 = 157502751000100
125501002 = 157505010010000
125505002 = 157515050250000
125505052 = 157515175755025
150000002 = 225000000000000
150000052 = 225000150000025
150000502 = 225001500002500
150005002 = 225015000250000
150005052 = 225015150255025
150050002 = 225150025000000
150050012 = 225150055010001
150050052 = 225150175050025
150050502 = 225151525502500
150250052 = 225750775250025
150250152 = 225751075750225
150250502 = 225752127502500
150700052 = 227105050700025
150715002 = 227150112250000
150722512 = 227172750207001
150750052 = 227255775750025
150755002 = 227270700250000
150755152 = 227271152515225
227050002 = 515517025000000
227050052 = 515517252050025
227051102 = 515522020112100
275150002 = 757075225000000
275150052 = 757075500150025
500000002 = 2500000000000000
500000012 = 2500000100000001
500000052 = 2500000500000025
500000102 = 2500001000000100
500000112 = 2500001100000121
500000152 = 2500001500000225
500000502 = 2500005000002500
500001002 = 2500010000010000
500001012 = 2500010100010201
500001052 = 2500010500011025
500001102 = 2500011000012100
500001502 = 2500015000022500
500005002 = 2500050000250000
500005012 = 2500050100251001
500005052 = 2500050500255025
500007112 = 2500071100505521
500007152 = 2500071500511225
500007552 = 2500075500570025
500010002 = 2500100001000000
500010012 = 2500100101002001
500010052 = 2500100501010025
500010102 = 2500101001020100
500010112 = 2500101101022121
500010502 = 2500105001102500
500011002 = 2500110001210000
500011012 = 2500110101212201
500011052 = 2500110501221025
500012552 = 2500125501575025
500015002 = 2500150002250000
500050002 = 2500500025000000
500050012 = 2500500125010001
500050052 = 2500500525050025
500050102 = 2500501025100100
500050112 = 2500501125110121
500050152 = 2500501525150225
500050502 = 2500505025502500
500071102 = 2500711050552100
500071502 = 2500715051122500
500072512 = 2500725152577001
500075502 = 2500755057002500
500100002 = 2501000100000000
500100012 = 2501000200020001
500100102 = 2501001100200100
500100112 = 2501001200220121
500100502 = 2501005101002500
500101002 = 2501010102010000
500101102 = 2501011102212100
500105002 = 2501050110250000
500105012 = 2501050210271001
500110002 = 2501100121000000
500110012 = 2501100221022001
500110102 = 2501101121220100
500110502 = 2501105122102500
500125502 = 2501255157502500
500150002 = 2501500225000000
500150052 = 2501500725150025
500205112 = 2502051520701121
500227052 = 2502271015517025
500250012 = 2502500725050001
500250052 = 2502501125250025
500250112 = 2502501725550121
500250152 = 2502502125750225
500255052 = 2502551150505025
500255152 = 2502552151015225
500275152 = 2502752257075225
500500002 = 2505002500000000
500500502 = 2505007505002500
500501002 = 2505012510010000
500501502 = 2505017515022500
500505002 = 2505052550250000
500510012 = 2505102701102001
500711002 = 2507115055210000
500712052 = 2507125570152025
500715002 = 2507155112250000
500750012 = 2507505725150001
500750152 = 2507507127250225
500755002 = 2507555700250000
500755152 = 2507557202515225
501000002 = 2510010000000000
501000012 = 2510010100200001
501000052 = 2510010501000025
501000102 = 2510011002000100
501000112 = 2510011102200121
501000502 = 2510015010002500
501001002 = 2510020020010000
501001012 = 2510020120210201
501001052 = 2510020521011025
501001102 = 2510021022012100
501010002 = 2510110201000000
501010052 = 2510110702010025
501010502 = 2510115211102500
501011002 = 2510120221210000
501011052 = 2510120722221025
501050002 = 2510511025000000
501050012 = 2510511125210001
501050102 = 2510512027100100
501100002 = 2511012100000000
501100012 = 2511012200220001
501100502 = 2511017111002500
501101002 = 2511022122010000
501120502 = 2511217555202500
501250012 = 2512515725250001
501500002 = 2515022500000000
501500502 = 2515027515002500
501505012 = 2515072750551001
501570052 = 2515725150570025
502170502 = 2521752110702500
502207152 = 2522120215111225
502250052 = 2522551127250025
502272052 = 2522772122112025
502501002 = 2525072550010000
502501502 = 2525077575022500
502505002 = 2525112750250000
502550502 = 2525570050502500
502571102 = 2525777105552100
502750012 = 2527575725550001
505000002 = 2550250000000000
505000012 = 2550250101000001
505000052 = 2550250505000025
505000102 = 2550251010000100
505000112 = 2550251111000121
505000152 = 2550251515000225
505000502 = 2550255050002500
505050002 = 2550755025000000
505101002 = 2551270202010000
505101052 = 2551270707111025
505101102 = 2551271212212100
505125012 = 2551512757275001
505125502 = 2551517707502500
505722512 = 2557552571207001
507001502 = 2570505210022500
507120502 = 2571712015202500
507150002 = 2572011225000000
507501012 = 2575572751510201
507501502 = 2575577725022500
507712052 = 2577715257152025
520101002 = 2705050502010000
520101052 = 2705051022111025
522207552 = 2727007252770025
707227052 = 5001701002517025
707510112 = 5005705557522121
710711002 = 5051101255210000
710775052 = 5052011717025025
711000002 = 5055210000000000
711000052 = 5055210711000025
711000502 = 5055217110002500
712050002 = 5070152025000000
712075502 = 5070515177002500
712125502 = 5071227277502500
712550002 = 5077275025000000
712571102 = 5077575725552100
715000002 = 5112250000000000
715000052 = 5112250715000025
715000502 = 5112257150002500
715200052 = 5115111115200025
715200502 = 5115117552002500
715700502 = 5122272057002500
717720052 = 5151220701720025
721250112 = 5202017211750121
722157552 = 5215115270220025
722510002 = 5220207001000000
725100002 = 5257700100000000
725100102 = 5257701550200100
725105012 = 5257772755271001
755000002 = 5700250000000000
755000012 = 5700250151000001
755000052 = 5700250755000025
755000102 = 5700251510000100
755000502 = 5700257550002500
755050002 = 5701005025000000
755050502 = 5701012575502500
755051012 = 5701020277020201
755101002 = 5701775202010000
755150002 = 5702515225000000
755712052 = 5711007025152025
1000000002 = 10000000000000000
1000000012 = 10000000200000001
1000000052 = 10000001000000025
1000000102 = 10000002000000100
1000000112 = 10000002200000121
1000000502 = 10000010000002500
1000001002 = 10000020000010000
1000001012 = 10000020200010201
1000001052 = 10000021000011025
1000001102 = 10000022000012100
1000005002 = 10000100000250000
1000005012 = 10000100200251001
1000005052 = 10000101000255025
1000007552 = 10000151000570025
1000010002 = 10000200001000000
1000010012 = 10000200201002001
1000010052 = 10000201001010025
1000010102 = 10000202001020100
1000010112 = 10000202201022121
1000010502 = 10000210001102500
1000011002 = 10000220001210000
1000011012 = 10000220201212201
1000011052 = 10000221001221025
1000012552 = 10000251001575025
1000050002 = 10001000025000000
1000050012 = 10001000225010001
1000050052 = 10001001025050025
1000050102 = 10001002025100100
1000050112 = 10001002225110121
1000050502 = 10001010025502500
1000075502 = 10001510057002500
1000100002 = 10002000100000000
1000100052 = 10002001100100025
1000100102 = 10002002100200100
1000100502 = 10002010101002500
1000101002 = 10002020102010000
1000101052 = 10002021102111025
1000101102 = 10002022102212100
1000105002 = 10002100110250000
1000110002 = 10002200121000000
1000110052 = 10002201121110025
1000110102 = 10002202121220100
1000110502 = 10002210122102500
1000125502 = 10002510157502500
1000500002 = 10010002500000000
1000500012 = 10010002700100001
1000500152 = 10010005501500225
1000500502 = 10010012505002500
1000501002 = 10010022510010000
1000501012 = 10010022710110201
1000505002 = 10010102550250000
1000575112 = 10011505507515121
1000755002 = 10015105700250000
1000775052 = 10015507007025025
1001000002 = 10020010000000000
1001000012 = 10020010200200001
1001000052 = 10020011001000025
1001000102 = 10020012002000100
1001000112 = 10020012202200121
1001000502 = 10020020010002500
1001005002 = 10020110100250000
1001005052 = 10020111101255025
1001010002 = 10020210201000000
1001010052 = 10020211202010025
1001010502 = 10020220211102500
1001025052 = 10020511507275025
1001050002 = 10021011025000000
1001050012 = 10021011225210001
1001100002 = 10022012100000000
1001100502 = 10022022111002500
1001105002 = 10022112210250000
1001110012 = 10022212521222001
1001255002 = 10025115750250000
1001275052 = 10025517257525025
1002500502 = 10050072525002500
1002550502 = 10051075050502500
1002751502 = 10055105707522500
1005000002 = 10100250000000000
1005000012 = 10100250201000001
1005000052 = 10100251005000025
1005000102 = 10100252010000100
1005000112 = 10100252211000121
1005001002 = 10100270100010000
1005001052 = 10100271105011025
1005001102 = 10100272110012100
1005015002 = 10100551502250000
1005025012 = 10100752707255001
1005050002 = 10101255025000000
1005100502 = 10102270151002500
1005125502 = 10102772707502500
1007500502 = 10150572575002500
1007550002 = 10151570025000000
1010000002 = 10201000000000000
1010000012 = 10201000202000001
1010000052 = 10201001010000025
1010000102 = 10201002020000100
1010000112 = 10201002222000121
1010000502 = 10201010100002500
1010001002 = 10201020200010000
1010001052 = 10201021210011025
1010001102 = 10201022220012100
1010005002 = 10201101000250000
1010005012 = 10201101202251001
1010005052 = 10201102010255025
1010007552 = 10201152510570025
1010010002 = 10201202001000000
1010010502 = 10201212101102500
1010011002 = 10201222201210000
1010050002 = 10202010025000000
1010050012 = 10202010227010001
1010050502 = 10202020125502500
1010075502 = 10202525157002500
1010200502 = 10205050502002500
1010500002 = 10211102500000000
1010500012 = 10211102702100001
1010501002 = 10211122710010000
1010700502 = 10215155007002500
1010701502 = 10215175221022500
1011000002 = 10221210000000000
1011000012 = 10221210202200001
1011000052 = 10221211011000025
1011000102 = 10221212022000100
1011000502 = 10221220110002500
1011050002 = 10222221025000000
1011050012 = 10222221227210001
1012550002 = 10252575025000000
1012550012 = 10252575227510001
1012550102 = 10252577050100100
1025050002 = 10507275025000000
1025050102 = 10507277075100100
1025207552 = 10510505205770025
1025525502 = 10517025511502500
1025771502 = 10522071702122500
1027205002 = 10551501120250000
1027500502 = 10557572775002500
1050000002 = 11025000000000000
1050000012 = 11025000210000001
1050000052 = 11025001050000025
1050000102 = 11025002100000100
1050000502 = 11025010500002500
1050001002 = 11025021000010000
1050001012 = 11025021210010201
1050001052 = 11025022050011025
1050005002 = 11025105000250000
1050005012 = 11025105210251001
1050007152 = 11025150150511225
1050010002 = 11025210001000000
1050010012 = 11025210211002001
1050010052 = 11025211051010025
1050010102 = 11025212101020100
1050010502 = 11025220501102500
1050100002 = 11027100100000000
1050100052 = 11027101150100025
1050100102 = 11027102200200100
1050101002 = 11027121102010000
1050101052 = 11027122152111025
1050105002 = 11027205110250000
1052222512 = 11071722105507001
1057000502 = 11172500570002500
1057001502 = 11172521710022500
1057155152 = 11175770111715225
1072507112 = 11502715010005521
1072510002 = 11502777001000000
1072510012 = 11502777215502001
1100000002 = 12100000000000000
1100000012 = 12100000220000001
1100000052 = 12100001100000025
1100000102 = 12100002200000100
1100000502 = 12100011000002500
1100001002 = 12100022000010000
1100001012 = 12100022220010201
1100005002 = 12100110000250000
1100005012 = 12100110220251001
1100005052 = 12100111100255025
1100010002 = 12100220001000000
1100010012 = 12100220221002001
1100010052 = 12100221101010025
1100010102 = 12100222201020100
1100050002 = 12101100025000000
1100050052 = 12101101125050025
1100050102 = 12101102225100100
1100050502 = 12101111025502500
1100100002 = 12102200100000000
1100100052 = 12102201200100025
1100100112 = 12102202520220121
1100100502 = 12102211101002500
1100101002 = 12102222102010000
1100250052 = 12105501725250025
1100500002 = 12111002500000000
1100500012 = 12111002720100001
1100505002 = 12111112550250000
1100510112 = 12111225022122121
1100775052 = 12117057107025025
1101000002 = 12122010000000000
1101000012 = 12122010220200001
1101000052 = 12122011101000025
1101000102 = 12122012202000100
1101000502 = 12122021010002500
1101005002 = 12122120100250000
1101005052 = 12122121201255025
1101011002 = 12122252221210000
1102270502 = 12150002551702500
1102505002 = 12155172750250000
1105000002 = 12210250000000000
1105000012 = 12210250221000001
1105000052 = 12210251105000025
1105000102 = 12210252210000100
1105001002 = 12210272100010000
1107701012 = 12270015275550201
1107750502 = 12271111702502500
1120500002 = 12555202500000000
1120501102 = 12555227151012100
1121170152 = 12570225052510225
1121255002 = 12572127750250000
1121272052 = 12572510101112025
1127720052 = 12717525111720025
1225771502 = 15025157702122500
1255000002 = 15750250000000000
1255000012 = 15750250251000001
1255000052 = 15750251255000025
1255000102 = 15750252510000100
1255001002 = 15750275100010000
1255010002 = 15750501001000000
1255010012 = 15750501252002001
1255050002 = 15751505025000000
1255050502 = 15751517575502500
1255275152 = 15757157022075225
1500000002 = 22500000000000000
1500000052 = 22500001500000025
1500000502 = 22500015000002500
1500005002 = 22500150000250000
1500005052 = 22500151500255025
1500050002 = 22501500025000000
1500050052 = 22501501525050025
1500050502 = 22501515025502500
1500250052 = 22507502125250025
1500250152 = 22507505125750225
1500500002 = 22515002500000000
1500500102 = 22515005501000100
1500500152 = 22515007001500225
1500500502 = 22515017505002500
1500505002 = 22515152550250000
1500507152 = 22515217072011225
1500570152 = 22517107750710225
1500750052 = 22522507125750025
1500750152 = 22522510127250225
1502500502 = 22575077525002500
1502501502 = 22575107575022500
1502505002 = 22575212750250000
1507000502 = 22710505070002500
1507007152 = 22710705501511225
1507007552 = 22710717557570025
1507150002 = 22715011225000000
1507225102 = 22717275020700100
1507500502 = 22725577575002500
1507550002 = 22727070025000000
1507551502 = 22727115251522500
2270500002 = 51551702500000000
2270500502 = 51551725205002500
2270510012 = 51552157055102001
2270511002 = 51552202011210000
2271025112 = 51575550502505121
2751500002 = 75707522500000000
2751500052 = 75707525251500025
2751500502 = 75707550015002500
2751727052 = 75720017577017025
5000000002 = 250000000000000000
5000000012 = 250000001000000001
5000000052 = 250000005000000025
5000000102 = 250000010000000100
5000000112 = 250000011000000121
5000000152 = 250000015000000225
5000000502 = 250000050000002500
5000001002 = 250000100000010000
5000001012 = 250000101000010201
5000001052 = 250000105000011025
5000001102 = 250000110000012100
5000001502 = 250000150000022500
5000005002 = 250000500000250000
5000005012 = 250000501000251001
5000005052 = 250000505000255025
5000007112 = 250000711000505521
5000007152 = 250000715000511225
5000007552 = 250000755000570025
5000010002 = 250001000001000000
5000010012 = 250001001001002001
5000010052 = 250001005001010025
5000010102 = 250001010001020100
5000010112 = 250001011001022121
5000010502 = 250001050001102500
5000011002 = 250001100001210000
5000011012 = 250001101001212201
5000011052 = 250001105001221025
5000012552 = 250001255001575025
5000015002 = 250001500002250000
5000050002 = 250005000025000000
5000050012 = 250005001025010001
5000050052 = 250005005025050025
5000050102 = 250005010025100100
5000050112 = 250005011025110121
5000050152 = 250005015025150225
5000050502 = 250005050025502500
5000071102 = 250007110050552100
5000071502 = 250007150051122500
5000072512 = 250007251052577001
5000075502 = 250007550057002500
5000100002 = 250010000100000000
5000100012 = 250010001100020001
5000100052 = 250010005100100025
5000100102 = 250010010100200100
5000100112 = 250010011100220121
5000100502 = 250010050101002500
5000101002 = 250010100102010000
5000101052 = 250010105102111025
5000101102 = 250010110102212100
5000105002 = 250010500110250000
5000105012 = 250010501110271001
5000110002 = 250011000121000000
5000110012 = 250011001121022001
5000110052 = 250011005121110025
5000110102 = 250011010121220100
5000110502 = 250011050122102500
5000112052 = 250011205125552025
5000125502 = 250012550157502500
5000150002 = 250015000225000000
5000150052 = 250015005225150025
5000227052 = 250022705515517025
5000275152 = 250027515757075225
5000500002 = 250050002500000000
5000500052 = 250050007500500025
5000500102 = 250050012501000100
5000500152 = 250050017501500225
5000500502 = 250050052505002500
5000501002 = 250050102510010000
5000501052 = 250050107510511025
5000501102 = 250050112511012100
5000501502 = 250050152515022500
5000505002 = 250050502550250000
5000505052 = 250050507550755025
5000507152 = 250050717572011225
5000711002 = 250071105055210000
5000712052 = 250071210070152025
5000715002 = 250071505112250000
5000725102 = 250072515257700100
5000755002 = 250075505700250000
5000755052 = 250075510701005025
5000755152 = 250075520702515225
5000775052 = 250077511007025025
5001000002 = 250100010000000000
5001000012 = 250100011000200001
5001000052 = 250100015001000025
5001000102 = 250100020002000100
5001000112 = 250100021002200121
5001001002 = 250100110020010000
5001001012 = 250100111020210201
5001001052 = 250100115021011025
5001001102 = 250100120022012100
5001005002 = 250100510100250000
5001005052 = 250100515101255025
5001010002 = 250101010201000000
5001010012 = 250101011201202001
5001010052 = 250101015202010025
5001011002 = 250101110221210000
5001011052 = 250101115222221025
5001025052 = 250102515507275025
5001050002 = 250105011025000000
5001050012 = 250105012025210001
5001050102 = 250105021027100100
5001100002 = 250110012100000000
5001100052 = 250110017101100025
5001100102 = 250110022102200100
5001101002 = 250110112122010000
5001105002 = 250110512210250000
5001255002 = 250125515750250000
5001255052 = 250125520751505025
5001275052 = 250127521257525025
5001500002 = 250150022500000000
5001500052 = 250150027501500025
5001500502 = 250150072515002500
5001507552 = 250150777727070025
5002025112 = 250202552010705121
5002051102 = 250205152070112100
5002150052 = 250215051227150025
5002270502 = 250227101551702500
5002500102 = 250250072505000100
5002500152 = 250250077507500225
5002500502 = 250250112525002500
5002501102 = 250250172555012100
5002501502 = 250250212575022500
5002550052 = 250255070027550025
5002550502 = 250255115050502500
5002551502 = 250255215101522500
5002570052 = 250257071051570025
5002751502 = 250275225707522500
5005000002 = 250500250000000000
5005000012 = 250500251001000001
5005000052 = 250500255005000025
5005005002 = 250500750500250000
5005005012 = 250500751501251001
5005005052 = 250500755505255025
5005007552 = 250501005755570025
5005010002 = 250501251001000000
5005010012 = 250501252002002001
5005015002 = 250501751502250000
5005025052 = 250502757511275025
5005050002 = 250505255025000000
5005100102 = 250510270110200100
5005100112 = 250510271111220121
5007000152 = 250700505021000225
5007110002 = 250711505521000000
5007120502 = 250712557015202500
5007150002 = 250715511225000000
5007500102 = 250750572515000100
5007500152 = 250750577522500225
5007501502 = 250750712725022500
5007510112 = 250751575017522121
5007520052 = 250752570511520025
5007550002 = 250755570025000000
5007551502 = 250755720251522500
5010000002 = 251001000000000000
5010000012 = 251001001002000001
5010000052 = 251001005010000025
5010000102 = 251001010020000100
5010000112 = 251001011022000121
5010000502 = 251001050100002500
5010001002 = 251001100200010000
5010001012 = 251001101202010201
5010001052 = 251001105210011025
5010001102 = 251001110220012100
5010005002 = 251001501000250000
5010005012 = 251001502002251001
5010010002 = 251002002001000000
5010010052 = 251002007011010025
5010010102 = 251002012021020100
5010010502 = 251002052101102500
5010011002 = 251002102201210000
5010011052 = 251002107211221025
5010012552 = 251002257511575025
5010100002 = 251011020100000000
5010100012 = 251011021102020001
5010100052 = 251011025110100025
5010100502 = 251011070201002500
5010105002 = 251011521110250000
5010105012 = 251011522112271001
5010110002 = 251012022121000000
5010110502 = 251012072222102500
5010500002 = 251051102500000000
5010500052 = 251051107510500025
5010500102 = 251051112521000100
5010501002 = 251051202710010000
5010501052 = 251051207720511025
5010710052 = 251072152051710025
5011000002 = 251101210000000000
5011000012 = 251101211002200001
5011000052 = 251101215011000025
5011000102 = 251101220022000100
5011005002 = 251101711100250000
5011010002 = 251102212201000000
5011010052 = 251102217212010025
5011205002 = 251121755520250000
5011212552 = 251122512212775025
5012500102 = 251251572525000100
5015000002 = 251502250000000000
5015000052 = 251502255015000025
5015005002 = 251502751500250000
5015050102 = 251507275055100100
5015700502 = 251572515057002500
5020010012 = 252005005005002001
5021705002 = 252175211070250000
5022071502 = 252212021511122500
5022500502 = 252255112725002500
5022720502 = 252277212211202500
5025010002 = 252507255001000000
5025015002 = 252507757502250000
5025050002 = 252511275025000000
5025112052 = 252517511150552025
5025505002 = 252557005050250000
5025505052 = 252557010075755025
5025711002 = 252577710555210000
5027500102 = 252757572555000100
5050000002 = 255025000000000000
5050000012 = 255025001010000001
5050000052 = 255025005050000025
5050000102 = 255025010100000100
5050000112 = 255025011110000121
5050000152 = 255025015150000225
5050000502 = 255025050500002500
5050001002 = 255025101000010000
5050001012 = 255025102010010201
5050001102 = 255025111100012100
5050001502 = 255025151500022500
5050005002 = 255025505000250000
5050005052 = 255025510050255025
5050007152 = 255025722150511225
5050500002 = 255075502500000000
5050500052 = 255075507550500025
5050750152 = 255100770777250225
5051010002 = 255127020201000000
5051010012 = 255127021211202001
5051010052 = 255127025252010025
5051010502 = 255127070711102500
5051011002 = 255127121221210000
5051250102 = 255151275727500100
5051255002 = 255151770750250000
5052005052 = 255227550252255025
5055201012 = 255550572515050201
5057225102 = 255755257120700100
5070010012 = 257050015015002001
5070010112 = 257050025155022121
5070012552 = 257050272571575025
5070015002 = 257050521002250000
5070700152 = 257120000112100225
5071007552 = 257151175721570025
5071205002 = 257171201520250000
5071500002 = 257201122500000000
5071500052 = 257201127571500025
5075010102 = 257557275151020100
5075015002 = 257557772502250000
5077120502 = 257771525715202500
5201010002 = 270505050201000000
5201010502 = 270505102211102500
5207255052 = 271155051557505025
5211120052 = 271557721755120025
5222075502 = 272700725277002500
7071210052 = 500020115712210025
7072270502 = 500170100251702500
7072501052 = 500202711022511025
7075101102 = 500570555752212100
7075112052 = 500572105200552025
7107110002 = 505110125521000000
7107750502 = 505201171702502500
7110000002 = 505521000000000000
7110000052 = 505521007110000025
7110000502 = 505521071100002500
7110005002 = 505521711000250000
7120500002 = 507015202500000000
7120755002 = 507051517700250000
7121220052 = 507117750005220025
7121255002 = 507122727750250000
7121501052 = 507157772051511025
7125500002 = 507727502500000000
7125711002 = 507757572555210000
7150000002 = 511225000000000000
7150000052 = 511225007150000025
7150000502 = 511225071500002500
7150001052 = 511225150150011025
7150005002 = 511225715000250000
7150005052 = 511225722150255025
7152000502 = 511511111520002500
7152005002 = 511511755200250000
7155505052 = 512012525205755025
7157005002 = 512227205700250000
7157007552 = 512227570707570025
7157200052 = 512255125557200025
7177120052 = 515110522121120025
7177200052 = 515122005577200025
7177200502 = 515122070172002500
7212501102 = 520201721175012100
7212572512 = 520212022120077001
7221575502 = 521511527022002500
7225100002 = 522020700100000000
7251000002 = 525770010000000000
7251000052 = 525770017251000025
7251001002 = 525770155020010000
7251050102 = 525777275527100100
7550000002 = 570025000000000000
7550000012 = 570025001510000001
7550000052 = 570025007550000025
7550000102 = 570025015100000100
7550000502 = 570025075500002500
7550001002 = 570025151000010000
7550001012 = 570025152510010201
7550005002 = 570025755000250000
7550217052 = 570057775021107025
7550500002 = 570100502500000000
7550500052 = 570100510050500025
7550500152 = 570100525151500225
7550505002 = 570101257550250000
7550510052 = 570102020151510025
7550510102 = 570102027702020100
7551007552 = 570177150201570025
7551010002 = 570177520201000000
7551010012 = 570177521711202001
7551010052 = 570177527752010025
7551500002 = 570251522500000000
7557120502 = 571100702515202500