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