Interleave

The following diagrams are generated by Graphviz from .dot files generated by interleave.lisp.

2
2 cycles, of lengths: 1, 1.
((1) (0))
2 = 2
0 =

4
3 cycles, of lengths: 1, 2, 1.
((3) (2 1) (0))
4 = 2²
2 = 2

6
3 cycles, of lengths: 1, 4, 1.
((5) (2 4 3 1) (0))
6 = 3 * 2
4 = 2²

8
4 cycles, of lengths: 1, 3, 3, 1.
((7) (6 5 3) (2 4 1) (0))
8 = 2³
6 = 3 * 2

10
4 cycles, of lengths: 1, 2, 6, 1.
((9) (6 3) (2 4 8 7 5 1) (0))
10 = 5 * 2
8 = 2³

12
3 cycles, of lengths: 1, 10, 1.
((11) (2 4 8 5 10 9 7 3 6 1) (0))
12 = 3 * 2²
10 = 5 * 2

14
3 cycles, of lengths: 1, 12, 1.
((13) (2 4 8 3 6 12 11 9 5 10 7 1) (0))
14 = 7 * 2
12 = 3 * 2²

16
6 cycles, of lengths: 1, 4, 2, 4, 4, 1.
((15) (14 13 11 7) (10 5) (6 12 9 3) (2 4 8 1) (0))
16 = 2⁴
14 = 7 * 2

18
4 cycles, of lengths: 1, 8, 8, 1.
((17) (6 12 7 14 11 5 10 3) (2 4 8 16 15 13 9 1) (0))
18 = 3² * 2
16 = 2⁴

20
3 cycles, of lengths: 1, 18, 1.
((19) (2 4 8 16 13 7 14 9 18 17 15 11 3 6 12 5 10 1) (0))
20 = 5 * 2²
18 = 3² * 2

22
7 cycles, of lengths: 1, 3, 2, 6, 3, 6, 1.
((21) (18 15 9) (14 7) (10 20 19 17 13 5) (6 12 3) (2 4 8 16 11 1) (0))
22 = 11 * 2
20 = 5 * 2²

24
4 cycles, of lengths: 1, 11, 11, 1.
((23) (10 20 17 11 22 21 19 15 7 14 5) (2 4 8 16 9 18 13 3 6 12 1) (0))
24 = 3 * 2³
22 = 11 * 2

26
4 cycles, of lengths: 1, 4, 20, 1.
((25) (10 20 15 5) (2 4 8 16 7 14 3 6 12 24 23 21 17 9 18 11 22 19 13 1) (0))
26 = 13 * 2
24 = 3 * 2³

28
5 cycles, of lengths: 1, 2, 6, 18, 1.
((27) (18 9) (6 12 24 21 15 3) (2 4 8 16 5 10 20 13 26 25 23 19 11 22 17 7 14 1) (0))
28 = 7 * 2²
26 = 13 * 2

30
3 cycles, of lengths: 1, 28, 1.
((29) (2 4 8 16 3 6 12 24 19 9 18 7 14 28 27 25 21 13 26 23 17 5 10 20 11 22 15 1) (0))
30 = 5 * 3 * 2
28 = 7 * 2²

32
8 cycles, of lengths: 1, 5, 5, 5, 5, 5, 5, 1.
((31) (30 29 27 23 15) (22 13 26 21 11) (14 28 25 19 7) (10 20 9 18 5) (6 12 24 17 3) (2 4 8 16 1) (0))
32 = 2⁵
30 = 5 * 3 * 2

34
6 cycles, of lengths: 1, 2, 10, 10, 10, 1.
((33) (22 11) (10 20 7 14 28 23 13 26 19 5) (6 12 24 15 30 27 21 9 18 3) (2 4 8 16 32 31 29 25 17 1) (0))
34 = 17 * 2
32 = 2⁵

36
7 cycles, of lengths: 1, 3, 4, 3, 12, 12, 1.
((35) (30 25 15) (14 28 21 7) (10 20 5) (6 12 24 13 26 17 34 33 31 27 19 3) (2 4 8 16 32 29 23 11 22 9 18 1) (0))
36 = 3² * 2²
34 = 17 * 2

38
3 cycles, of lengths: 1, 36, 1.
((37) (2 4 8 16 32 27 17 34 31 25 13 26 15 30 23 9 18 36 35 33 29 21 5 10 20 3 6 12 24 11 22 7 14 28 19 1) (0))
38 = 19 * 2
36 = 3² * 2²

40
6 cycles, of lengths: 1, 2, 12, 12, 12, 1.
((39) (26 13) (14 28 17 34 29 19 38 37 35 31 23 7) (6 12 24 9 18 36 33 27 15 30 21 3) (2 4 8 16 32 25 11 22 5 10 20 1) (0))
40 = 5 * 2³
38 = 19 * 2

42
4 cycles, of lengths: 1, 20, 20, 1.
((41) (6 12 24 7 14 28 15 30 19 38 35 29 17 34 27 13 26 11 22 3) (2 4 8 16 32 23 5 10 20 40 39 37 33 25 9 18 36 31 21 1) (0))
42 = 7 * 3 * 2
40 = 5 * 2³

44
5 cycles, of lengths: 1, 14, 14, 14, 1.
((43) (14 28 13 26 9 18 36 29 15 30 17 34 25 7) (6 12 24 5 10 20 40 37 31 19 38 33 23 3) (2 4 8 16 32 21 42 41 39 35 27 11 22 1) (0))
44 = 11 * 2²
42 = 7 * 3 * 2

46
9 cycles, of lengths: 1, 4, 2, 4, 12, 6, 4, 12, 1.
((45) (42 39 33 21) (30 15) (18 36 27 9) (14 28 11 22 44 43 41 37 29 13 26 7) (10 20 40 35 25 5) (6 12 24 3) (2 4 8 16 32 19 38 31 17 34 23 1) (0))
46 = 23 * 2
44 = 11 * 2²

48
4 cycles, of lengths: 1, 23, 23, 1.
((47) (10 20 40 33 19 38 29 11 22 44 41 35 23 46 45 43 39 31 15 30 13 26 5) (2 4 8 16 32 17 34 21 42 37 27 7 14 28 9 18 36 25 3 6 12 24 1) (0))
48 = 3 * 2⁴
46 = 23 * 2

50
6 cycles, of lengths: 1, 3, 3, 21, 21, 1.
((49) (42 35 21) (14 28 7) (6 12 24 48 47 45 41 33 17 34 19 38 27 5 10 20 40 31 13 26 3) (2 4 8 16 32 15 30 11 22 44 39 29 9 18 36 23 46 43 37 25 1) (0))
50 = 5² * 2
48 = 3 * 2⁴

52
9 cycles, of lengths: 1, 8, 2, 8, 8, 8, 8, 8, 1.
((51) (38 25 50 49 47 43 35 19) (34 17) (22 44 37 23 46 41 31 11) (18 36 21 42 33 15 30 9) (10 20 40 29 7 14 28 5) (6 12 24 48 45 39 27 3) (2 4 8 16 32 13 26 1) (0))
52 = 13 * 2²
50 = 5² * 2

54
3 cycles, of lengths: 1, 52, 1.
((53) (2 4 8 16 32 11 22 44 35 17 34 15 30 7 14 28 3 6 12 24 48 43 33 13 26 52 51 49 45 37 21 42 31 9 18 36 19 38 23 46 39 25 50 47 41 29 5 10 20 40 27 1) (0))
54 = 3³ * 2
52 = 13 * 2²

56
6 cycles, of lengths: 1, 4, 10, 20, 20, 1.
((55) (22 44 33 11) (10 20 40 25 50 45 35 15 30 5) (6 12 24 48 41 27 54 53 51 47 39 23 46 37 19 38 21 42 29 3) (2 4 8 16 32 9 18 36 17 34 13 26 52 49 43 31 7 14 28 1) (0))
56 = 7 * 2³
54 = 3³ * 2

58
6 cycles, of lengths: 1, 2, 18, 18, 18, 1.
((57) (38 19) (10 20 40 23 46 35 13 26 52 47 37 17 34 11 22 44 31 5) (6 12 24 48 39 21 42 27 54 51 45 33 9 18 36 15 30 3) (2 4 8 16 32 7 14 28 56 55 53 49 41 25 50 43 29 1) (0))
58 = 29 * 2
56 = 7 * 2³

60
3 cycles, of lengths: 1, 58, 1.
((59) (2 4 8 16 32 5 10 20 40 21 42 25 50 41 23 46 33 7 14 28 56 53 47 35 11 22 44 29 58 57 55 51 43 27 54 49 39 19 38 17 34 9 18 36 13 26 52 45 31 3 6 12 24 48 37 15 30 1) (0))
60 = 5 * 3 * 2²
58 = 29 * 2

62
3 cycles, of lengths: 1, 60, 1.
((61) (2 4 8 16 32 3 6 12 24 48 35 9 18 36 11 22 44 27 54 47 33 5 10 20 40 19 38 15 30 60 59 57 53 45 29 58 55 49 37 13 26 52 43 25 50 39 17 34 7 14 28 56 51 41 21 42 23 46 31 1) (0))
62 = 31 * 2
60 = 5 * 3 * 2²

64
14 cycles, of lengths: 1, 6, 3, 6, 2, 6, 6, 6, 3, 6, 6, 6, 6, 1.
((63) (62 61 59 55 47 31) (54 45 27) (46 29 58 53 43 23) (42 21) (30 60 57 51 39 15) (26 52 41 19 38 13) (22 44 25 50 37 11) (18 36 9) (14 28 56 49 35 7) (10 20 40 17 34 5) (6 12 24 48 33 3) (2 4 8 16 32 1) (0))
64 = 2⁶
62 = 31 * 2

66
8 cycles, of lengths: 1, 4, 12, 12, 12, 12, 12, 1.
((65) (26 52 39 13) (22 44 23 46 27 54 43 21 42 19 38 11) (14 28 56 47 29 58 51 37 9 18 36 7) (10 20 40 15 30 60 55 45 25 50 35 5) (6 12 24 48 31 62 59 53 41 17 34 3) (2 4 8 16 32 64 63 61 57 49 33 1) (0))
66 = 11 * 3 * 2
64 = 2⁶

68
3 cycles, of lengths: 1, 66, 1.
((67) (2 4 8 16 32 64 61 55 43 19 38 9 18 36 5 10 20 40 13 26 52 37 7 14 28 56 45 23 46 25 50 33 66 65 63 59 51 35 3 6 12 24 48 29 58 49 31 62 57 47 27 54 41 15 30 60 53 39 11 22 44 21 42 17 34 1) (0))
68 = 17 * 2²
66 = 11 * 3 * 2

70
7 cycles, of lengths: 1, 2, 11, 22, 11, 22, 1.
((69) (46 23) (30 60 51 33 66 63 57 45 21 42 15) (10 20 40 11 22 44 19 38 7 14 28 56 43 17 34 68 67 65 61 53 37 5) (6 12 24 48 27 54 39 9 18 36 3) (2 4 8 16 32 64 59 49 29 58 47 25 50 31 62 55 41 13 26 52 35 1) (0))
70 = 7 * 5 * 2
68 = 17 * 2²

72
4 cycles, of lengths: 1, 35, 35, 1.
((71) (14 28 56 41 11 22 44 17 34 68 65 59 47 23 46 21 42 13 26 52 33 66 61 51 31 62 53 35 70 69 67 63 55 39 7) (2 4 8 16 32 64 57 43 15 30 60 49 27 54 37 3 6 12 24 48 25 50 29 58 45 19 38 5 10 20 40 9 18 36 1) (0))
72 = 3² * 2³
70 = 7 * 5 * 2

74
10 cycles, of lengths: 1, 9, 9, 9, 9, 9, 9, 9, 9, 1.
((73) (50 27 54 35 70 67 61 49 25) (34 68 63 53 33 66 59 45 17) (26 52 31 62 51 29 58 43 13) (22 44 15 30 60 47 21 42 11) (18 36 72 71 69 65 57 41 9) (10 20 40 7 14 28 56 39 5) (6 12 24 48 23 46 19 38 3) (2 4 8 16 32 64 55 37 1) (0))
74 = 37 * 2
72 = 3² * 2³

76
9 cycles, of lengths: 1, 4, 2, 4, 20, 4, 20, 20, 1.
((75) (70 65 55 35) (50 25) (30 60 45 15) (14 28 56 37 74 73 71 67 59 43 11 22 44 13 26 52 29 58 41 7) (10 20 40 5) (6 12 24 48 21 42 9 18 36 72 69 63 51 27 54 33 66 57 39 3) (2 4 8 16 32 64 53 31 62 49 23 46 17 34 68 61 47 19 38 1) (0))
76 = 19 * 2²
74 = 37 * 2

78
7 cycles, of lengths: 1, 3, 3, 10, 30, 30, 1.
((77) (66 55 33) (22 44 11) (14 28 56 35 70 63 49 21 42 7) (6 12 24 48 19 38 76 75 73 69 61 45 13 26 52 27 54 31 62 47 17 34 68 59 41 5 10 20 40 3) (2 4 8 16 32 64 51 25 50 23 46 15 30 60 43 9 18 36 72 67 57 37 74 71 65 53 29 58 39 1) (0))
78 = 13 * 3 * 2
76 = 19 * 2²

80
4 cycles, of lengths: 1, 39, 39, 1.
((79) (6 12 24 48 17 34 68 57 35 70 61 43 7 14 28 56 33 66 53 27 54 29 58 37 74 69 59 39 78 77 75 71 63 47 15 30 60 41 3) (2 4 8 16 32 64 49 19 38 76 73 67 55 31 62 45 11 22 44 9 18 36 72 65 51 23 46 13 26 52 25 50 21 42 5 10 20 40 1) (0))
80 = 5 * 2⁴
78 = 13 * 3 * 2

82
6 cycles, of lengths: 1, 2, 6, 18, 54, 1.
((81) (54 27) (18 36 72 63 45 9) (6 12 24 48 15 30 60 39 78 75 69 57 33 66 51 21 42 3) (2 4 8 16 32 64 47 13 26 52 23 46 11 22 44 7 14 28 56 31 62 43 5 10 20 40 80 79 77 73 65 49 17 34 68 55 29 58 35 70 59 37 74 67 53 25 50 19 38 76 71 61 41 1) (0))
82 = 41 * 2
80 = 5 * 2⁴

84
3 cycles, of lengths: 1, 82, 1.
((83) (2 4 8 16 32 64 45 7 14 28 56 29 58 33 66 49 15 30 60 37 74 65 47 11 22 44 5 10 20 40 80 77 71 59 35 70 57 31 62 41 82 81 79 75 67 51 19 38 76 69 55 27 54 25 50 17 34 68 53 23 46 9 18 36 72 61 39 78 73 63 43 3 6 12 24 48 13 26 52 21 42 1) (0))
84 = 7 * 3 * 2²
82 = 41 * 2

86
13 cycles, of lengths: 1, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 1.
((85) (74 63 41 82 79 73 61 37) (58 31 62 39 78 71 57 29) (42 84 83 81 77 69 53 21) (34 68 51 17) (30 60 35 70 55 25 50 15) (26 52 19 38 76 67 49 13) (18 36 72 59 33 66 47 9) (14 28 56 27 54 23 46 7) (10 20 40 80 75 65 45 5) (6 12 24 48 11 22 44 3) (2 4 8 16 32 64 43 1) (0))
86 = 43 * 2
84 = 7 * 3 * 2²

88
6 cycles, of lengths: 1, 2, 28, 28, 28, 1.
((87) (58 29) (10 20 40 80 73 59 31 62 37 74 61 35 70 53 19 38 76 65 43 86 85 83 79 71 55 23 46 5) (6 12 24 48 9 18 36 72 57 27 54 21 42 84 81 75 63 39 78 69 51 15 30 60 33 66 45 3) (2 4 8 16 32 64 41 82 77 67 47 7 14 28 56 25 50 13 26 52 17 34 68 49 11 22 44 1) (0))
88 = 11 * 2³
86 = 43 * 2

90
10 cycles, of lengths: 1, 11, 11, 11, 11, 11, 11, 11, 11, 1.
((89) (66 43 86 83 77 65 41 82 75 61 33) (38 76 63 37 74 59 29 58 27 54 19) (26 52 15 30 60 31 62 35 70 51 13) (22 44 88 87 85 81 73 57 25 50 11) (18 36 72 55 21 42 84 79 69 49 9) (10 20 40 80 71 53 17 34 68 47 5) (6 12 24 48 7 14 28 56 23 46 3) (2 4 8 16 32 64 39 78 67 45 1) (0))
90 = 5 * 3² * 2
88 = 11 * 2³

92
11 cycles, of lengths: 1, 3, 12, 12, 3, 12, 12, 12, 12, 12, 1.
((91) (78 65 39) (38 76 61 31 62 33 66 41 82 73 55 19) (34 68 45 90 89 87 83 75 59 27 54 17) (26 52 13) (22 44 88 85 79 67 43 86 81 71 51 11) (18 36 72 53 15 30 60 29 58 25 50 9) (14 28 56 21 42 84 77 63 35 70 49 7) (6 12 24 48 5 10 20 40 80 69 47 3) (2 4 8 16 32 64 37 74 57 23 46 1) (0))
92 = 23 * 2²
90 = 5 * 3² * 2

94
15 cycles, of lengths: 1, 5, 5, 2, 10, 5, 10, 5, 10, 5, 10, 10, 5, 10, 1.
((93) (90 87 81 69 45) (66 39 78 63 33) (62 31) (46 92 91 89 85 77 61 29 58 23) (42 84 75 57 21) (34 68 43 86 79 65 37 74 55 17) (30 60 27 54 15) (22 44 88 83 73 53 13 26 52 11) (18 36 72 51 9) (14 28 56 19 38 76 59 25 50 7) (10 20 40 80 67 41 82 71 49 5) (6 12 24 48 3) (2 4 8 16 32 64 35 70 47 1) (0))
94 = 47 * 2
92 = 23 * 2²

96
6 cycles, of lengths: 1, 4, 36, 18, 36, 1.
((95) (38 76 57 19) (14 28 56 17 34 68 41 82 69 43 86 77 59 23 46 92 89 83 71 47 94 93 91 87 79 63 31 62 29 58 21 42 84 73 51 7) (10 20 40 80 65 35 70 45 90 85 75 55 15 30 60 25 50 5) (2 4 8 16 32 64 33 66 37 74 53 11 22 44 88 81 67 39 78 61 27 54 13 26 52 9 18 36 72 49 3 6 12 24 48 1) (0))
96 = 3 * 2⁵
94 = 47 * 2

98
4 cycles, of lengths: 1, 48, 48, 1.
((97) (10 20 40 80 63 29 58 19 38 76 55 13 26 52 7 14 28 56 15 30 60 23 46 92 87 77 57 17 34 68 39 78 59 21 42 84 71 45 90 83 69 41 82 67 37 74 51 5) (2 4 8 16 32 64 31 62 27 54 11 22 44 88 79 61 25 50 3 6 12 24 48 96 95 93 89 81 65 33 66 35 70 43 86 75 53 9 18 36 72 47 94 91 85 73 49 1) (0))
98 = 7² * 2
96 = 3 * 2⁵