0 : {} 1 : {1,13,132,134,1345} 2 : {2,23,231,234,2345} 3 : {3,31,32,34,345} 4 : {4,43,45,431,432} 5 : {5,54,543,5431,5432} 6 : {12,123,1234,12345} 7 : {14,143,145,1432,1435,14325,14354,143254,1432543,14325431} 8 : {15,135,154,1325,1354,1543,13254,15432,132543,1325431} 9 : {24,243,245,2431,2435,24315,24354,243154,2431543,24315432} 10 : {25,235,254,2315,2354,2543,23154,25431,231543,2315432} 11 : {35,315,325,354,3154,3254,31543,32543,315432,325431} 12 : {124,1243,1245,12343,12431,12432,12435,123431,123432,123435,124312,124354,1234312,1234315,1234325,1234354,12343123,12343125,123431235,1234312354} 13 : {125,1235,1254,12354,12543,123454,123543,125431,125432,1234543,1235431,1235432,1254312,12345431,12345432,12354312,123454312,123543123,1234543123,12345431234} 14 : {131,1312,1314,13123,13124,13143,13145,131234,131243,131245,131432,131435,1312343,1312345,1312431,1312432,1312435,1314325,1314354,13123431,13123435,13124312,13124354,131234315,131234354} 15 : {232,2312,2324,23123,23124,23243,23245,231234,231243,231245,232431,232435,2312343,2312345,2312431,2312432,2312435,2324315,2324354,23123432,23123435,23124312,23124354,231234325,231234354} 16 : {312,3123,31234,312345} 17 : {314,3143,3145,31432,31435,314325,314354,3143254,31432543,314325431} 18 : {324,3243,3245,32431,32435,324315,324354,3243154,32431543,324315432} 19 : {343,3431,3432,3435,31431,32432,34312,34315,34325,34354,314312,324312,343123,343125,3143123,3243123,3431234,3431235,31431234,32431234,34312345,34312354,314312345,324312345,343123454} 20 : {435,4315,4325,4354,43154,43254,431543,432543,4315432,4325431} 21 : {454,4543,43543,45431,45432,435431,435432,454312,4315431,4325432,4354312,4543123,43154312,43254312,43543123,45431234,431543123,432543123,435431234,454312345,4315431234,4325431234,4354312345,43154312345,43254312345} 22 : {1231,1232,12312,12314,12324,123124,123143,123145,123243,123245,1231243,1231245,1231432,1231435,1232431,1232435,12312431,12312432,12312435,12314325,12314354,12324315,12324354,123124312,123124354} 23 : {1315,13125,13154,131235,131254,131454,131543,1312354,1312543,1314543,1315432,13123454,13123543,13125431,13125432,13145432,131234543,131235431,131254312,1312345431} 24 : {1324,13243,13245,132431,132435,1324315,1324354,13243154,132431543,1324315432} 25 : {1343,1431,13431,13432,13435,14312,132432,134312,134315,134325,134354,143123,1324312,1343123,1343125,1431234,13243123,13431234,13431235,14312345,132431234,134312345,134312354,1324312345,1343123454} 26 : {1454,14543,143543,145431,145432,1435431,1435432,1454312,14325432,14354312,14543123,143254312,143543123,145431234,1432543123,1435431234,1454312345,14325431234,14354312345,143254312345} 27 : {2314,23143,23145,231432,231435,2314325,2314354,23143254,231432543,2314325431} 28 : {2325,23125,23254,231235,231254,232454,232543,2312354,2312543,2324543,2325431,23123454,23123543,23125431,23125432,23245431,231234543,231235432,231254312,2312345432} 29 : {2343,2432,23431,23432,23435,24312,231431,234312,234315,234325,234354,243123,2314312,2343123,2343125,2431234,23143123,23431234,23431235,24312345,231431234,234312345,234312354,2314312345,2343123454} 30 : {2454,24543,243543,245431,245432,2435431,2435432,2454312,24315431,24354312,24543123,243154312,243543123,245431234,2431543123,2435431234,2454312345,24315431234,24354312345,243154312345} 31 : {3124,31243,31245,312343,312431,312432,312435,3123431,3123432,3123435,3124312,3124354,31234312,31234315,31234325,31234354,312343123,312343125,3123431235,31234312354} 32 : {3125,31235,31254,312354,312543,3123454,3123543,3125431,3125432,31234543,31235431,31235432,31254312,312345431,312345432,312354312,3123454312,3123543123,31234543123,312345431234} 33 : {3454,3543,34543,35431,35432,315431,325432,345431,345432,354312,3154312,3254312,3454312,3543123,31543123,32543123,34543123,35431234,315431234,325431234,345431234,354312345,3154312345,3254312345,3454312345} 34 : {4312,43123,431234,4312345} 35 : {12315,12325,123125,123154,123254,1231254,1231454,1231543,1232454,1232543,12312543,12314543,12315432,12324543,12325431,123125431,123125432,123145432,123245431,1231254312} 36 : {12454,124543,1243543,1245431,1245432,12435431,12435432,12454312,124354312,1243543123} 37 : {13454,13543,15431,134543,135431,135432,154312,1325432,1345431,1345432,1354312,1543123,13254312,13454312,13543123,15431234,132543123,134543123,135431234,154312345,1325431234,1345431234,1354312345,13254312345,13454312345} 38 : {14315,143125,143154,1343154,1431235,1431254,1431543,13431543,14312354,14312543,14315432,134315432,143123454,143123543,143125431,143125432,1431234543,1431235431,1431254312,14312345431} 39 : {23454,23543,25432,234543,235431,235432,254312,2315431,2345431,2345432,2354312,2543123,23154312,23454312,23543123,25431234,231543123,234543123,235431234,254312345,2315431234,2345431234,2354312345,23154312345,23454312345} 40 : {24325,243125,243254,2343254,2431235,2431254,2432543,23432543,24312354,24312543,24325431,234325431,243123454,243123543,243125431,243125432,2431234543,2431235432,2431254312,24312345432} 41 : {31454,314543,3143543,3145431,3145432,31435431,31435432,31454312,314325432,314354312,314543123,3143254312,3143543123,3145431234,31432543123,31435431234,31454312345,314325431234,314354312345,3143254312345} 42 : {32454,324543,3243543,3245431,3245432,32435431,32435432,32454312,324315431,324354312,324543123,3243154312,3243543123,3245431234,32431543123,32435431234,32454312345,324315431234,324354312345,3243154312345} 43 : {43125,431235,431254,4312354,4312543,43123454,43123543,43125431,43125432,431234543,431235431,431235432,431254312,4312345431,4312345432,4312354312,43123454312,43123543123,431234543123,4312345431234} 44 : {54312,543123,5431234,54312345} 45 : {123123,1231234,12312343,12312345,123123435,1231234354} 46 : {124315,124325,1243125,1243154,1243254,12343154,12343254,12431254,12431543,12432543,123431543,123432543,124312543,124315432,124325431,1234315432,1234325431,1243125431,1243125432,12431254312} 47 : {131431,1314312,1314315,13143123,13143125,13143154,131431235,131431254,131431543,1314312354,1314312543,1314315432,13143123543,13143125431,13143125432,131431235431,131431235432,131431254312,1314312354312,13143123543123} 48 : {132454,1324543,13243543,13245431,13245432,132435431,132435432,132454312,1324315431,1324354312,1324543123,13243154312,13243543123,13245431234,132431543123,132435431234,132454312345,1324315431234,1324354312345,13243154312345} 49 : {231454,2314543,23143543,23145431,23145432,231435431,231435432,231454312,2314325432,2314354312,2314543123,23143254312,23143543123,23145431234,231432543123,231435431234,231454312345,2314325431234,2314354312345,23143254312345} 50 : {232432,2324312,2324325,23243123,23243125,23243254,232431235,232431254,232432543,2324312354,2324312543,2324325431,23243123543,23243125431,23243125432,232431235431,232431235432,232431254312,2324312354312,23243123543123} 51 : {312454,3124543,31243543,31245431,31245432,312435431,312435432,312454312,3124354312,31243543123} 52 : {314315,343154,3143125,3143154,3431543,31431235,31431254,31431543,34315432,314312354,314312543,314315432,3143123454,3143123543,3143125431,3143125432,31431234543,31431235431,31431254312,314312345431} 53 : {324325,343254,3243125,3243254,3432543,32431235,32431254,32432543,34325431,324312354,324312543,324325431,3243123454,3243123543,3243125431,3243125432,32431234543,32431235432,32431254312,324312345432} 54 : {343543,3435431,3435432,34315431,34325432,34354312,314315431,324325432,343154312,343254312,343543123,3143154312,3243254312,3431543123,3432543123,3435431234,31431543123,32432543123,34315431234,34325431234} 55 : {1231235,12312354,123123454,123123543,1231234543,1231235431,1231235432,12312343543,12312345431,12312345432,12312354312,123123435431,123123435432,123123454312,123123543123,1231234354312,1231234543123,12312343543123,12312345431234,123123435431234} 56 : {1231431,12314312,12314315,123143123,123143125,123143154,1231431235,1231431254,1231431543,12314312354,12314312543,12314315432,123143123543,123143125431,123143125432,1231431235431,1231431235432,1231431254312,12314312354312,123143123543123} 57 : {1232432,12324312,12324325,123243123,123243125,123243254,1232431235,1232431254,1232432543,12324312354,12324312543,12324325431,123243123543,123243125431,123243125432,1232431235431,1232431235432,1232431254312,12324312354312,123243123543123} 58 : {1243123,12431234,123431234,124312345,1234312345,12343123454} 59 : {1312454,13124543,131243543,131245431,131245432,1312435431,1312435432,1312454312,13124354312,131243543123} 60 : {1315431,13143543,13145431,13154312,131435431,131435432,131454312,131543123,1314325432,1314354312,1314543123,13124325432,13143254312,13143543123,13145431234,131243254312,131432543123,131435431234,1312432543123,1314325431234} 61 : {1324325,1343254,13243125,13243254,13432543,132431235,132431254,132432543,134325431,1324312354,1324312543,1324325431,13243123454,13243123543,13243125431,13243125432,132431234543,132431235432,132431254312,1324312345432} 62 : {1343543,13435431,13435432,14315431,134315431,134325432,134354312,143154312,1324325432,1343154312,1343254312,1343543123,1431543123,13243254312,13431543123,13432543123,13435431234,132432543123,134315431234,134325431234} 63 : {2312454,23124543,231243543,231245431,231245432,2312435431,2312435432,2312454312,23124354312,231243543123} 64 : {2314315,2343154,23143125,23143154,23431543,231431235,231431254,231431543,234315432,2314312354,2314312543,2314315432,23143123454,23143123543,23143125431,23143125432,231431234543,231431235431,231431254312,2314312345431} 65 : {2325432,23243543,23245432,23254312,232435431,232435432,232454312,232543123,2324315431,2324354312,2324543123,23124315431,23243154312,23243543123,23245431234,231243154312,232431543123,232435431234,2312431543123,2324315431234} 66 : {2343543,23435431,23435432,24325432,234315431,234325432,234354312,243254312,2314315431,2343154312,2343254312,2343543123,2432543123,23143154312,23431543123,23432543123,23435431234,231431543123,234315431234,234325431234} 67 : {3124315,3124325,31243125,31243154,31243254,312343154,312343254,312431254,312431543,312432543,3123431543,3123432543,3124312543,3124315432,3124325431,31234315432,31234325431,31243125431,31243125432,312431254312} 68 : {3431254,34312543,343123543,343125431,343125432,3431235431,3431235432,3431254312,34312354312,343123543123} 69 : {12312454,123124543,1231243543,1231245431,1231245432,12312435431,12312435432,12312454312,123124354312,1231243543123} 70 : {12315431,123143543,123145431,123154312,1231435431,1231435432,1231454312,1231543123,12314325432,12314354312,12314543123,123124325432,123143254312,123143543123,123145431234,1231243254312,1231432543123,1231435431234,12312432543123,12314325431234} 71 : {12325432,123243543,123245432,123254312,1232435431,1232435432,1232454312,1232543123,12324315431,12324354312,12324543123,123124315431,123243154312,123243543123,123245431234,1231243154312,1232431543123,1232435431234,12312431543123,12324315431234} 72 : {12343543,123435431,123435432,124315431,124325432,1234315431,1234325432,1234354312,1243154312,1243254312,12343154312,12343254312,12343543123,12431543123,12432543123,123431543123,123432543123,123435431234,1234315431234,1234325431234} 73 : {12431235,124312354,1243123454,1243123543,12431234543,12431235431,12431235432,123431234543,124312345431,124312345432,124312354312,1234312345431,1234312345432,1243123454312,1243123543123,12343123454312,12431234543123,123431234543123,124312345431234,1234312345431234} 74 : {12543123,125431234,1235431234,1254312345,12354312345,123454312345} 75 : {13123432,131234312,131234325,1312343123,1312343125,1312343254,13123431235,13123431254,13123432543,131234312354,131234312543,131234325431,1312343123543,1312343125431,1312343125432,13123431235431,13123431235432,13123431254312,131234312354312,1312343123543123} 76 : {13124315,13124325,13143254,131243125,131243154,131243254,131432543,1312343154,1312431254,1312431543,1312432543,1314325431,13123431543,13124312543,13124315432,13124325431,131234315432,131243125431,131243125432,1312431254312} 77 : {13431254,134312543,1343123543,1343125431,1343125432,13431235431,13431235432,13431254312,134312354312,1343123543123} 78 : {23123431,231234312,231234315,2312343123,2312343125,2312343154,23123431235,23123431254,23123431543,231234312354,231234312543,231234315432,2312343123543,2312343125431,2312343125432,23123431235431,23123431235432,23123431254312,231234312354312,2312343123543123} 79 : {23124315,23124325,23243154,231243125,231243154,231243254,232431543,2312343254,2312431254,2312431543,2312432543,2324315432,23123432543,23124312543,23124315432,23124325431,231234325431,231243125431,231243125432,2312431254312} 80 : {23431254,234312543,2343123543,2343125431,2343125432,23431235431,23431235432,23431254312,234312354312,2343123543123} 81 : {31243123,312431234,3123431234,3124312345,31234312345,312343123454} 82 : {123123431,123123432,1231234312,1231234315,1231234325,12312343123,12312343125,12312343154,12312343254,123123431235,123123431254,123123431543,123123432543,1231234312354,1231234312543,1231234315432,1231234325431,12312343123543,12312343125431,12312343125432,123123431235431,123123431235432,123123431254312,1231234312354312,12312343123543123} 83 : {123124315,123124325,123143254,123243154,1231243125,1231243154,1231243254,1231432543,1232431543,12312431254,12312431543,12312432543,12314325431,12324315432,123124312543,123124315432,123124325431,1231243125431,1231243125432,12312431254312} 84 : {123431254,1234312543,12343123543,12343125431,12343125432,123431235431,123431235432,123431254312,1234312354312,12343123543123} 85 : {124543123,1245431234,12435431234,12454312345,124312543123,124315431234,124325431234,124354312345,1234312543123,1234354312345,1243125431234,1243154312345,1243254312345,12343125431234,12343154312345,12343254312345,12431254312345,123431235431234,123431254312345,1234312354312345} 86 : {131235432,1312343543,1312345432,1312354312,13123435431,13123435432,13123454312,13123543123,13124315431,131234315431,131234354312,131234543123,131243154312,1312343154312,1312343543123,1312345431234,1312431543123,13123431543123,13123435431234,131234315431234} 87 : {131243123,131431234,1312431234,1312431235,1314312345,13123431234,13124312345,13124312354,13143123454,131234312345,131243123454,131243123543,131431234543,1312343123454,1312431234543,1312431235431,1312431235432,1314312345431,13123431234543,13124312345431,13124312345432,13124312354312,131234312345432,131243123454312,131243123543123} 88 : {231235431,2312343543,2312345431,2312354312,23123435431,23123435432,23123454312,23123543123,23124325432,231234325432,231234354312,231234543123,231243254312,2312343254312,2312343543123,2312345431234,2312432543123,23123432543123,23123435431234,231234325431234} 89 : {231243123,232431234,2312431234,2312431235,2324312345,23123431234,23124312345,23124312354,23243123454,231234312345,231243123454,231243123543,232431234543,2312343123454,2312431234543,2312431235431,2312431235432,2324312345432,23123431234543,23124312345431,23124312345432,23124312354312,231234312345431,231243123454312,231243123543123} 90 : {312343543,3123435431,3123435432,3124315431,3124325432,31234315431,31234325432,31234354312,31243154312,31243254312,312343154312,312343254312,312343543123,312431543123,312432543123,3123431543123,3123432543123,3123435431234,31234315431234,31234325431234} 91 : {312431235,3124312354,31243123454,31243123543,312431234543,312431235431,312431235432,3123431234543,3124312345431,3124312345432,3124312354312,31234312345431,31234312345432,31243123454312,31243123543123,312343123454312,312431234543123,3123431234543123,3124312345431234,31234312345431234} 92 : {312543123,3125431234,31235431234,31254312345,312354312345,3123454312345} 93 : {1231243123,1231431234,1232431234,12312431234,12312431235,12314312345,12324312345,123124312345,123124312354,123143123454,123243123454,1231243123454,1231243123543,1231431234543,1232431234543,12312431234543,12312431235431,12312431235432,12314312345431,12324312345432,123124312345431,123124312345432,123124312354312,1231243123454312,1231243123543123} 94 : {1312543123,1315431234,13124543123,13125431234,13154312345,131235431234,131245431234,131254312345,131454312345,1312354312345,1312435431234,1312454312345,1314354312345,13123454312345,13124312543123,13124315431234,13124325431234,13124354312345,13143254312345,131234354312345,131243125431234,131243154312345,131243254312345,1312343154312345,1312431254312345} 95 : {1314315431,13143154312,131431543123,1314312543123,1314315431234,13143125431234,13143154312345,131431235431234,131431254312345,1314312354312345} 96 : {1431235432,13431234543,14312345432,14312354312,132431235431,134312345431,134312345432,143123454312,143123543123,1324312345431,1324312354312,1343123454312,1431234543123,13243123454312,13243123543123,13431234543123,14312345431234,132431234543123,134312345431234,1324312345431234} 97 : {2312543123,2325431234,23124543123,23125431234,23254312345,231235431234,231245431234,231254312345,232454312345,2312354312345,2312435431234,2312454312345,2324354312345,23123454312345,23124312543123,23124315431234,23124325431234,23124354312345,23243154312345,231234354312345,231243125431234,231243154312345,231243254312345,2312343254312345,2312431254312345} 98 : {2324325432,23243254312,232432543123,2324312543123,2324325431234,23243125431234,23243254312345,232431235431234,232431254312345,2324312354312345} 99 : {2431235431,23431234543,24312345431,24312354312,231431235432,234312345431,234312345432,243123454312,243123543123,2314312345432,2314312354312,2343123454312,2431234543123,23143123454312,23143123543123,23431234543123,24312345431234,231431234543123,234312345431234,2314312345431234} 100 : {3123431254,31234312543,312343123543,312343125431,312343125432,3123431235431,3123431235432,3123431254312,31234312354312,312343123543123} 101 : {3124543123,31245431234,312435431234,312454312345,3124312543123,3124315431234,3124325431234,3124354312345,31234312543123,31234354312345,31243125431234,31243154312345,31243254312345,312343125431234,312343154312345,312343254312345,312431254312345,3123431235431234,3123431254312345,31234312354312345} 102 : {3431234543,31431235432,32431235431,34312345431,34312345432,314312345432,314312354312,324312345431,324312354312,343123454312,3143123454312,3143123543123,3243123454312,3243123543123,3431234543123,31431234543123,32431234543123,34312345431234,314312345431234,324312345431234} 103 : {4312543123,43125431234,431235431234,431254312345,4312354312345,43123454312345} 104 : {12312543123,12315431234,12325431234,123124543123,123125431234,123154312345,123254312345,1231245431234,1231254312345,1231454312345,1232454312345,12312435431234,12312454312345,12314354312345,12324354312345,123124312543123,123124315431234,123124325431234,123124354312345,123143254312345,123243154312345,1231243125431234,1231243154312345,1231243254312345,12312431254312345} 105 : {12314315431,123143154312,1231431543123,12314312543123,12314315431234,123143125431234,123143154312345,1231431235431234,1231431254312345,12314312354312345} 106 : {12324325432,123243254312,1232432543123,12324312543123,12324325431234,123243125431234,123243254312345,1232431235431234,1232431254312345,12324312354312345} 107 : {14312543123,14315431234,134312543123,134354312345,143125431234,143154312345,1324312543123,1324325431234,1343125431234,1343154312345,1343254312345,1431235431234,1431254312345,13243125431234,13243254312345,13431235431234,13431254312345,14312354312345,132431235431234,132431254312345,134312354312345,143123454312345,1324312354312345,1343123454312345,13243123454312345} 108 : {24312543123,24325431234,234312543123,234354312345,243125431234,243254312345,2314312543123,2314315431234,2343125431234,2343154312345,2343254312345,2431235431234,2431254312345,23143125431234,23143154312345,23431235431234,23431254312345,24312354312345,231431235431234,231431254312345,234312354312345,243123454312345,2314312354312345,2343123454312345,23143123454312345} 109 : {34312543123,34354312345,314312543123,314315431234,324312543123,324325431234,343125431234,343154312345,343254312345,3143125431234,3143154312345,3243125431234,3243254312345,3431235431234,3431254312345,31431235431234,31431254312345,32431235431234,32431254312345,34312354312345,314312354312345,324312354312345,343123454312345,3143123454312345,3243123454312345} 110 : {123123431234,1231234312345,12312343123454,123123431234543} 111 : {131234325432,1312343254312,13123432543123,131234312543123,131234325431234,1312343125431234,1312343254312345,13123431235431234,13123431254312345,131234312354312345} 112 : {231234315431,2312343154312,23123431543123,231234312543123,231234315431234,2312343125431234,2312343154312345,23123431235431234,23123431254312345,231234312354312345} 113 : {1231234315431,1231234325432,12312343154312,12312343254312,123123431543123,123123432543123,1231234312543123,1231234315431234,1231234325431234,12312343125431234} 114 : {1231235431234,12312354312345,123123454312345,1231234354312345} 115 : {1314312345432,13143123454312,131234312345431,131431234543123,1312343123454312,1312431234543123,1314312345431234,13123431234543123,13124312345431234,131234312345431234} 116 : {2324312345431,23243123454312,231234312345432,232431234543123,2312343123454312,2312431234543123,2324312345431234,23123431234543123,23124312345431234,231234312345431234} 117 : {12314312345432,12324312345431,123143123454312,123243123454312,1231431234543123,1232431234543123,12312431234543123,12314312345431234,12324312345431234,123124312345431234} 118 : {12431235431234,124312354312345,1243123454312345,12343123454312345} 119 : {312431235431234,3124312354312345,31243123454312345,312343123454312345} 120 : {1231234312345431,1231234312345432,12312343123454312,123123431234543123,1231234312345431234} 121 : {1312431235431234,13124312354312345,13143123454312345,131243123454312345,1312343123454312345} 122 : {2312431235431234,23124312354312345,23243123454312345,231243123454312345,2312343123454312345} 123 : {12312343154312345,12312343254312345,123123431235431234,123123431254312345,1231234312354312345} 124 : {12312431235431234,123124312354312345,123143123454312345,123243123454312345,1231243123454312345} 125 : {12312343123454312345}