0 : {}
 1 : {1,12,123,1232,1234,12321}
 2 : {2,21,23,232,234,2321}
 3 : {3,32,34,321,323,3234}
 4 : {4,43,432,4321,4323,43234}
 5 : {13,132,134,1323,1324,13234,13243,132432,1324321}
 6 : {14,124,143,1243,1432,12432,14323,124321,143234}
 7 : {24,214,243,2143,2432,21432,24321,214323,2143234}
 8 : {121,1213,12132,12134,121324,1213243,12132432,121324321}
 9 : {213,2132,2134,21323,21324,213234,213243,2132432,21324321}
10 : {324,3214,3243,32143,32432,321432,324321,3214323,32143234}
11 : {343,3432,34321,34323,343213,3432132,34321323,343213234}
12 : {1214,12143,121343,121432,1213432,1214321,1214323,12134321,12134323,12143213,12143234,121324323,121343213,121343234,121432132,121432134,1213243213,1213243234,1213432132,1213432134,1214321324,12132432132,12132432134,12134321323,12134321324,12143213243,121324321323,121324321324,121343213234,121343213243,121432132432,1213243213234,1213243213243,1213432132343,1213432132432,1214321324321,12132432132343,12132432132432,12134321323432,12134321324321,121324321323432,121324321324321,121343213234321,1213243213234321,1213243213234323,12132432132343213,121324321323432132}
13 : {1321,13213,132132,132134,1321324,13213243,132132432,1321324321}
14 : {1343,13432,134321,134323,1324323,1343213,1343234,13243213,13243234,13432132,13432134,132343234,132432132,132432134,134321323,134321324,1323432134,1324321323,1324321324,1343213234,1343213243,13234321324,13243213234,13243213243,13432132343,13432132432,132343213243,132432132343,132432132432,134321323432,134321324321,1323432132343,1323432132432,1324321323432,1324321324321,1343213234321,13234321323432,13234321324321,13243213234321,13243213234323,132343213234321,132343213234323,132432132343213,1323432132343213,1324321323432132,13234321323432132,132343213234321323}
15 : {2323,23213,23234,232132,232134,232343,2321323,2321324,2321343,2323432,21321323,23213234,23213243,23213432,23234321,23234323,213213234,232132343,232132432,232134321,232134323,232343213,2132132343,2321323432,2321324321,2321324323,2321343213,2321343234,2323432132,21321323432,23213234321,23213234323,23213243213,23213243234,23213432132,23213432134,23234321323,213213234321,213213234323,232132343213,232132343234,232132432132,232132432134,232134321323,232134321324,232343213234,2132132343213,2321323432132,2321323432134,2321324321324,2321343213234,2321343213243,21321323432132,23213234321323,23213234321324,23213243213243,23213432132343,23213432132432,213213234321323,232132343213234,232132343213243,232132432132432,232134321323432,232134321324321,2132132343213234,2321323432132343,2321323432132432,2321324321324321,2321343213234321,23213234321323432,23213234321324321,232132343213234321}
16 : {2324,23214,23243,232143,232432,2321432,2324321,23214323,232143234}
17 : {2343,23432,234321,234323,2343213,23432132,234321323,2343213234}
18 : {3213,32132,32134,321323,321324,3213234,3213243,32132432,321324321}
19 : {12323,123213,123234,1232132,1232134,1232343,1321323,12321323,12321324,12321343,12323432,13213234,123213234,123213243,123213432,123234321,123234323,132132343,1232132343,1232132432,1232134321,1232134323,1232343213,1321323432,12321323432,12321324321,12321324323,12321343213,12321343234,12323432132,13213234321,13213234323,123213234321,123213234323,123213243213,123213243234,123213432132,123213432134,123234321323,132132343213,1232132343213,1232132343234,1232132432132,1232132432134,1232134321323,1232134321324,1232343213234,1321323432132,12321323432132,12321323432134,12321324321324,12321343213234,12321343213243,13213234321323,123213234321323,123213234321324,123213243213243,123213432132343,123213432132432,132132343213234,1232132343213234,1232132343213243,1232132432132432,1232134321323432,1232134321324321,12321323432132343,12321323432132432,12321324321324321,12321343213234321,123213234321323432,123213234321324321,1232132343213234321}
20 : {12324,123214,123243,1232143,1232432,12321432,12324321,123214323,1232143234}
21 : {12343,123432,1234321,1234323,12343213,123432132,1234321323,12343213234}
22 : {13214,132143,1321343,1321432,13213432,13214321,13214323,132134321,132134323,132143213,132143234,1321324323,1321343213,1321343234,1321432132,1321432134,13213243213,13213243234,13213432132,13213432134,13214321324,132132432132,132132432134,132134321323,132134321324,132143213243,1321324321323,1321324321324,1321343213234,1321343213243,1321432132432,13213243213234,13213243213243,13213432132343,13213432132432,13214321324321,132132432132343,132132432132432,132134321323432,132134321324321,1321324321323432,1321324321324321,1321343213234321,13213243213234321,13213243213234323,132132432132343213,1321324321323432132}
23 : {14321,143213,1432132,1432134,14321324,143213243,1432132432,14321324321}
24 : {21321,213213,2132132,2132134,21321324,213213243,2132132432,21321324321}
25 : {21343,213432,2134321,2134323,21324323,21343213,21343234,213243213,213243234,213432132,213432134,2132343234,2132432132,2132432134,2134321323,2134321324,21323432134,21324321323,21324321324,21343213234,21343213243,213234321324,213243213234,213243213243,213432132343,213432132432,2132343213243,2132432132343,2132432132432,2134321323432,2134321324321,21323432132343,21323432132432,21324321323432,21324321324321,21343213234321,213234321323432,213234321324321,213243213234321,213243213234323,2132343213234321,2132343213234323,2132432132343213,21323432132343213,21324321323432132,213234321323432132,2132343213234321323}
26 : {24323,243213,243234,2324323,2343234,2432132,2432134,23243213,23243234,23432134,24321323,24321324,214321323,232432132,232432134,234321324,243213234,243213243,2143213234,2324321323,2324321324,2343213243,2432132343,2432132432,21432132343,23214321323,23243213234,23243213243,23432132343,23432132432,24321323432,24321324321,214321323432,232143213234,232432132343,232432132432,234321323432,234321324321,243213234321,243213234323,2143213234321,2143213234323,2321432132343,2324321323432,2324321324321,2343213234321,2343213234323,2432132343213,21432132343213,23214321323432,23243213234321,23243213234323,23432132343213,24321323432132,214321323432132,232143213234321,232143213234323,232432132343213,234321323432132,243213234321323,2143213234321323,2321432132343213,2324321323432132,2343213234321323,2432132343213234,21432132343213234,23214321323432132,23243213234321323,23432132343213234,232143213234321323,232432132343213234,2321432132343213234}
27 : {32343,323432,3234321,3234323,32343213,323432132,3234321323,32343213234}
28 : {43213,432132,432134,4321323,4321324,43213234,43213243,432132432,4321324321}
29 : {121321,121323,1213213,1213214,1213234,12132132,12132134,12132143,12132343,121321324,121321343,121321432,121323432,1213213243,1213213432,1213214321,1213214323,1213234321,1213234323,12132132432,12132134321,12132134323,12132143213,12132143234,12132343213,121321324321,121321324323,121321343213,121321343234,121321432132,121321432134,121323432132,1213213243213,1213213243234,1213213432132,1213213432134,1213214321324,1213234321323,12132132432132,12132132432134,12132134321323,12132134321324,12132143213243,12132343213234,121321324321324,121321343213234,121321343213243,121321432132432,1213213243213243,1213213432132343,1213213432132432,1213214321324321,12132132432132432,12132134321323432,12132134321324321,121321324321324321,121321343213234321}
30 : {124323,1243213,1243234,12324323,12343234,12432132,12432134,14321323,123243213,123243234,123432134,124321323,124321324,143213234,1232432132,1232432134,1234321324,1243213234,1243213243,1432132343,12324321323,12324321324,12343213243,12432132343,12432132432,14321323432,123214321323,123243213234,123243213243,123432132343,123432132432,124321323432,124321324321,143213234321,143213234323,1232143213234,1232432132343,1232432132432,1234321323432,1234321324321,1243213234321,1243213234323,1432132343213,12321432132343,12324321323432,12324321324321,12343213234321,12343213234323,12432132343213,14321323432132,123214321323432,123243213234321,123243213234323,123432132343213,124321323432132,143213234321323,1232143213234321,1232143213234323,1232432132343213,1234321323432132,1243213234321323,1432132343213234,12321432132343213,12324321323432132,12343213234321323,12432132343213234,123214321323432132,123243213234321323,123432132343213234,1232143213234321323,1232432132343213234,12321432132343213234}
31 : {132343,1323432,13234321,13234323,132343213,1323432132,13234321323,132343213234}
32 : {213214,2132143,21321343,21321432,213213432,213214321,213214323,2132134321,2132134323,2132143213,2132143234,21321324323,21321343213,21321343234,21321432132,21321432134,213213243213,213213243234,213213432132,213213432134,213214321324,2132132432132,2132132432134,2132134321323,2132134321324,2132143213243,21321324321323,21321324321324,21321343213234,21321343213243,21321432132432,213213243213234,213213243213243,213213432132343,213213432132432,213214321324321,2132132432132343,2132132432132432,2132134321323432,2132134321324321,21321324321323432,21321324321324321,21321343213234321,213213243213234321,213213243213234323,2132132432132343213,21321324321323432132}
33 : {214321,2143213,21432132,21432134,214321324,2143213243,21432132432,214321324321}
34 : {321343,3213432,32134321,32134323,321324323,321343213,321343234,3213243213,3213243234,3213432132,3213432134,32132343234,32132432132,32132432134,32134321323,32134321324,321323432134,321324321323,321324321324,321343213234,321343213243,3213234321324,3213243213234,3213243213243,3213432132343,3213432132432,32132343213243,32132432132343,32132432132432,32134321323432,32134321324321,321323432132343,321323432132432,321324321323432,321324321324321,321343213234321,3213234321323432,3213234321324321,3213243213234321,3213243213234323,32132343213234321,32132343213234323,32132432132343213,321323432132343213,321324321323432132,3213234321323432132,32132343213234321323}
35 : {324323,343234,3243213,3243234,3432134,32343234,32432132,32432134,34321324,323432134,324321323,324321324,343213243,3214321323,3234321324,3243213234,3243213243,3432132343,3432132432,32143213234,32343213243,32432132343,32432132432,34321323432,34321324321,321432132343,323432132343,323432132432,324321323432,324321324321,343213234321,343213234323,3214321323432,3234321323432,3234321324321,3243213234321,3243213234323,3432132343213,32143213234321,32143213234323,32343213234321,32343213234323,32432132343213,34321323432132,321432132343213,323432132343213,324321323432132,343213234321323,3214321323432132,3234321323432132,3243213234321323,3432132343213234,32143213234321323,32343213234321323,32432132343213234,321432132343213234,323432132343213234}
36 : {2132343,21323432,213234321,213234323,2132343213,21323432132,213234321323,2132343213234}
37 : {3214321,32143213,321432132,321432134,3214321324,32143213243,321432132432,3214321324321}
38 : {23214321,232143213,2321432132,2321432134,23214321324,232143213243,2321432132432,23214321324321}
39 : {32132343,321323432,3213234321,3213234323,32132343213,321323432132,3213234321323,32132343213234}
40 : {121321323,1213213234,12132132343,121321323432,1213213234321,1213213234323,12132132343213,121321323432132}
41 : {123214321,1232143213,12321432132,12321432134,123214321324,1232143213243,12321432132432,123214321324321}
42 : {232343234,2323432134,23234321324,232343213243,2323432132343,2323432132432,23234321323432,232343213234323}
43 : {432132343,4321323432,43213234321,43213234323,432132343213,4321323432132,43213234321323,432132343213234}
44 : {1214321323,12143213234,121432132343,1214321323432,12143213234321,12143213234323,121432132343213,1214321323432132}
45 : {1232343234,12323432134,123234321324,1232343213243,12323432132343,12323432132432,123234321323432,1232343213234323}
46 : {12132343234,121323432134,1213234321324,12132343213243,121323432132343,121323432132432,1213234321323432,12132343213234323}
47 : {13214321323,132143213234,1321432132343,13214321323432,132143213234321,132143213234323,1321432132343213,13214321323432132}
48 : {132132343234,1321323432134,13213234321324,132132343213243,1321323432132343,1321323432132432,13213234321323432,132132343213234323}
49 : {213214321323,2132143213234,21321432132343,213214321323432,2132143213234321,2132143213234323,21321432132343213,213214321323432132}
50 : {1213214321323,12132143213234,121321432132343,1213214321323432,12132143213234321,12132143213234323,121321432132343213,1213214321323432132}
51 : {1343213234323,13432132343213,134321323432132,1343213234321323,13243213234321323,13432132343213234,132432132343213234,1323432132343213234}
52 : {2132132343234,21321323432134,213213234321324,2132132343213243,21321323432132343,21321323432132432,213213234321323432,2132132343213234323}
53 : {2321324321323,23213243213234,232132432132343,2321324321323432,23213243213234321,23213243213234323,232132432132343213,2321324321323432132}
54 : {12132132343234,121321323432134,1213213234321323,1213213234321324,12132132343213234,12132132343213243,121321323432132343,121321323432132432,1213213234321323432}
55 : {12321324321323,123213243213234,1232132432132343,12321324321323432,123213243213234321,123213243213234323,1232132432132343213,12321324321323432132}
56 : {21343213234323,213432132343213,2134321323432132,21343213234321323,213243213234321323,213432132343213234,2132432132343213234,21323432132343213234}
57 : {23234321324321,232343213234321,2321343213234323,2323432132343213,23213432132343213,23234321323432132,232134321323432132,232343213234321323,2321343213234321323}
58 : {121321324321323,1213213243213234,12132132432132343,121321324321323432,1213213243213234321,1213213243213234323,12132132432132343213,121321324321323432132}
59 : {121343213234323,1213432132343213,12134321323432132,12143213234321323,121343213234321323,121432132343213234,1213243213234321323,1213432132343213234,12132432132343213234}
60 : {123234321324321,1232343213234321,12321343213234323,12323432132343213,123213432132343213,123234321323432132,1232134321323432132,1232343213234321323,12321343213234321323}
61 : {321343213234323,3213432132343213,32134321323432132,321343213234321323,3213243213234321323,3213432132343213234,32132432132343213234,321323432132343213234}
62 : {1213234321324321,12132343213234321,121321343213234323,121323432132343213,1213213432132343213,1213234321323432132,12132134321323432132,12132343213234321323,121321343213234321323}
63 : {1321343213234323,13213432132343213,132134321323432132,132143213234321323,1321343213234321323,1321432132343213234,13213243213234321323,13213432132343213234,132132432132343213234}
64 : {13213234321324321,132132343213234321,1232132343213234323,1321323432132343213,12321323432132343213,13213234321323432132,123213234321323432132,132132343213234321323,1232132343213234321323}
65 : {21321343213234323,213213432132343213,2132134321323432132,2132143213234321323,21321343213234321323,21321432132343213234,213213243213234321323,213213432132343213234,2132132432132343213234}
66 : {213213234321324321,232132343213234323,2132132343213234321,2321323432132343213,21321323432132343213,23213234321323432132,213213234321323432132,232132343213234321323,2132132343213234321323}
67 : {1213213234321324321,12132132343213234321,12132132343213234323,121321323432132343213,1213213234321323432132,12132132343213234321323}
68 : {2323432132343213234,23213243213234321323,23213432132343213234,232132432132343213234,2321323432132343213234,21321323432132343213234}
69 : {12132143213234321323,121321432132343213234,121323432132343213234,1213213243213234321323,1213213432132343213234,12132132432132343213234}
70 : {12323432132343213234,123213243213234321323,123213432132343213234,1232132432132343213234,1321323432132343213234,12321323432132343213234}
71 : {121321323432132343213234}