Identifier
Values
{{1}} => [1] => 1
{{1,2}} => [2,1] => 1
{{1},{2}} => [1,2] => 1
{{1,2,3}} => [2,3,1] => 1
{{1,2},{3}} => [2,1,3] => 1
{{1,3},{2}} => [3,2,1] => 2
{{1},{2,3}} => [1,3,2] => 1
{{1},{2},{3}} => [1,2,3] => 1
{{1,2,3,4}} => [2,3,4,1] => 1
{{1,2,3},{4}} => [2,3,1,4] => 1
{{1,2,4},{3}} => [2,4,3,1] => 3
{{1,2},{3,4}} => [2,1,4,3] => 2
{{1,2},{3},{4}} => [2,1,3,4] => 1
{{1,3,4},{2}} => [3,2,4,1] => 3
{{1,3},{2,4}} => [3,4,1,2] => 2
{{1,3},{2},{4}} => [3,2,1,4] => 2
{{1,4},{2,3}} => [4,3,2,1] => 16
{{1},{2,3,4}} => [1,3,4,2] => 1
{{1},{2,3},{4}} => [1,3,2,4] => 1
{{1,4},{2},{3}} => [4,2,3,1] => 6
{{1},{2,4},{3}} => [1,4,3,2] => 2
{{1},{2},{3,4}} => [1,2,4,3] => 1
{{1},{2},{3},{4}} => [1,2,3,4] => 1
{{1,2,3,4,5}} => [2,3,4,5,1] => 1
{{1,2,3,4},{5}} => [2,3,4,1,5] => 1
{{1,2,3,5},{4}} => [2,3,5,4,1] => 4
{{1,2,3},{4,5}} => [2,3,1,5,4] => 3
{{1,2,3},{4},{5}} => [2,3,1,4,5] => 1
{{1,2,4,5},{3}} => [2,4,3,5,1] => 4
{{1,2,4},{3,5}} => [2,4,5,1,3] => 5
{{1,2,4},{3},{5}} => [2,4,3,1,5] => 3
{{1,2,5},{3,4}} => [2,5,4,3,1] => 35
{{1,2},{3,4,5}} => [2,1,4,5,3] => 3
{{1,2},{3,4},{5}} => [2,1,4,3,5] => 2
{{1,2,5},{3},{4}} => [2,5,3,4,1] => 10
{{1,2},{3,5},{4}} => [2,1,5,4,3] => 8
{{1,2},{3},{4,5}} => [2,1,3,5,4] => 2
{{1,2},{3},{4},{5}} => [2,1,3,4,5] => 1
{{1,3,4,5},{2}} => [3,2,4,5,1] => 4
{{1,3,4},{2,5}} => [3,5,4,1,2] => 21
{{1,3,4},{2},{5}} => [3,2,4,1,5] => 3
{{1,3,5},{2,4}} => [3,4,5,2,1] => 14
{{1,3},{2,4,5}} => [3,4,1,5,2] => 5
{{1,3},{2,4},{5}} => [3,4,1,2,5] => 2
{{1,3,5},{2},{4}} => [3,2,5,4,1] => 19
{{1,3},{2,5},{4}} => [3,5,1,4,2] => 16
{{1,3},{2},{4,5}} => [3,2,1,5,4] => 8
{{1,3},{2},{4},{5}} => [3,2,1,4,5] => 2
{{1,4,5},{2,3}} => [4,3,2,5,1] => 35
{{1,4},{2,3,5}} => [4,3,5,1,2] => 21
{{1,4},{2,3},{5}} => [4,3,2,1,5] => 16
{{1,5},{2,3,4}} => [5,3,4,2,1] => 216
{{1},{2,3,4,5}} => [1,3,4,5,2] => 1
{{1},{2,3,4},{5}} => [1,3,4,2,5] => 1
{{1,5},{2,3},{4}} => [5,3,2,4,1] => 90
{{1},{2,3,5},{4}} => [1,3,5,4,2] => 3
{{1},{2,3},{4,5}} => [1,3,2,5,4] => 2
{{1},{2,3},{4},{5}} => [1,3,2,4,5] => 1
{{1,4,5},{2},{3}} => [4,2,3,5,1] => 10
{{1,4},{2,5},{3}} => [4,5,3,1,2] => 42
{{1,4},{2},{3,5}} => [4,2,5,1,3] => 16
{{1,4},{2},{3},{5}} => [4,2,3,1,5] => 6
{{1,5},{2,4},{3}} => [5,4,3,2,1] => 768
{{1},{2,4,5},{3}} => [1,4,3,5,2] => 3
{{1},{2,4},{3,5}} => [1,4,5,2,3] => 2
{{1},{2,4},{3},{5}} => [1,4,3,2,5] => 2
{{1,5},{2},{3,4}} => [5,2,4,3,1] => 90
{{1},{2,5},{3,4}} => [1,5,4,3,2] => 16
{{1},{2},{3,4,5}} => [1,2,4,5,3] => 1
{{1},{2},{3,4},{5}} => [1,2,4,3,5] => 1
{{1,5},{2},{3},{4}} => [5,2,3,4,1] => 20
{{1},{2,5},{3},{4}} => [1,5,3,4,2] => 6
{{1},{2},{3,5},{4}} => [1,2,5,4,3] => 2
{{1},{2},{3},{4,5}} => [1,2,3,5,4] => 1
{{1},{2},{3},{4},{5}} => [1,2,3,4,5] => 1
{{1,2,3,4,5,6}} => [2,3,4,5,6,1] => 1
{{1,2,3,4,5},{6}} => [2,3,4,5,1,6] => 1
{{1,2,3,4,6},{5}} => [2,3,4,6,5,1] => 5
{{1,2,3,4},{5,6}} => [2,3,4,1,6,5] => 4
{{1,2,3,4},{5},{6}} => [2,3,4,1,5,6] => 1
{{1,2,3,5,6},{4}} => [2,3,5,4,6,1] => 5
{{1,2,3,5},{4,6}} => [2,3,5,6,1,4] => 9
{{1,2,3,5},{4},{6}} => [2,3,5,4,1,6] => 4
{{1,2,3,6},{4,5}} => [2,3,6,5,4,1] => 64
{{1,2,3},{4,5,6}} => [2,3,1,5,6,4] => 6
{{1,2,3},{4,5},{6}} => [2,3,1,5,4,6] => 3
{{1,2,3,6},{4},{5}} => [2,3,6,4,5,1] => 15
{{1,2,3},{4,6},{5}} => [2,3,1,6,5,4] => 20
{{1,2,3},{4},{5,6}} => [2,3,1,4,6,5] => 3
{{1,2,3},{4},{5},{6}} => [2,3,1,4,5,6] => 1
{{1,2,4,5,6},{3}} => [2,4,3,5,6,1] => 5
{{1,2,4,5},{3,6}} => [2,4,6,5,1,3] => 70
{{1,2,4,5},{3},{6}} => [2,4,3,5,1,6] => 4
{{1,2,4,6},{3,5}} => [2,4,5,6,3,1] => 28
{{1,2,4},{3,5,6}} => [2,4,5,1,6,3] => 14
{{1,2,4},{3,5},{6}} => [2,4,5,1,3,6] => 5
{{1,2,4,6},{3},{5}} => [2,4,3,6,5,1] => 29
{{1,2,4},{3,6},{5}} => [2,4,6,1,5,3] => 56
{{1,2,4},{3},{5,6}} => [2,4,3,1,6,5] => 15
{{1,2,4},{3},{5},{6}} => [2,4,3,1,5,6] => 3
{{1,2,5,6},{3,4}} => [2,5,4,3,6,1] => 64
>>> Load all 366 entries. <<<
{{1,2,5},{3,4,6}} => [2,5,4,6,1,3] => 70
{{1,2,5},{3,4},{6}} => [2,5,4,3,1,6] => 35
{{1,2,6},{3,4,5}} => [2,6,4,5,3,1] => 567
{{1,2},{3,4,5,6}} => [2,1,4,5,6,3] => 4
{{1,2},{3,4,5},{6}} => [2,1,4,5,3,6] => 3
{{1,2,6},{3,4},{5}} => [2,6,4,3,5,1] => 189
{{1,2},{3,4,6},{5}} => [2,1,4,6,5,3] => 15
{{1,2},{3,4},{5,6}} => [2,1,4,3,6,5] => 6
{{1,2},{3,4},{5},{6}} => [2,1,4,3,5,6] => 2
{{1,2,5,6},{3},{4}} => [2,5,3,4,6,1] => 15
{{1,2,5},{3,6},{4}} => [2,5,6,4,1,3] => 168
{{1,2,5},{3},{4,6}} => [2,5,3,6,1,4] => 35
{{1,2,5},{3},{4},{6}} => [2,5,3,4,1,6] => 10
{{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => 2310
{{1,2},{3,5,6},{4}} => [2,1,5,4,6,3] => 15
{{1,2},{3,5},{4,6}} => [2,1,5,6,3,4] => 10
{{1,2},{3,5},{4},{6}} => [2,1,5,4,3,6] => 8
{{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => 189
{{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => 112
{{1,2},{3},{4,5,6}} => [2,1,3,5,6,4] => 3
{{1,2},{3},{4,5},{6}} => [2,1,3,5,4,6] => 2
{{1,2,6},{3},{4},{5}} => [2,6,3,4,5,1] => 35
{{1,2},{3,6},{4},{5}} => [2,1,6,4,5,3] => 36
{{1,2},{3},{4,6},{5}} => [2,1,3,6,5,4] => 8
{{1,2},{3},{4},{5,6}} => [2,1,3,4,6,5] => 2
{{1,2},{3},{4},{5},{6}} => [2,1,3,4,5,6] => 1
{{1,3,4,5,6},{2}} => [3,2,4,5,6,1] => 5
{{1,3,4,5},{2,6}} => [3,6,4,5,1,2] => 300
{{1,3,4,5},{2},{6}} => [3,2,4,5,1,6] => 4
{{1,3,4,6},{2,5}} => [3,5,4,6,2,1] => 288
{{1,3,4},{2,5,6}} => [3,5,4,1,6,2] => 70
{{1,3,4},{2,5},{6}} => [3,5,4,1,2,6] => 21
{{1,3,4,6},{2},{5}} => [3,2,4,6,5,1] => 29
{{1,3,4},{2,6},{5}} => [3,6,4,1,5,2] => 216
{{1,3,4},{2},{5,6}} => [3,2,4,1,6,5] => 15
{{1,3,4},{2},{5},{6}} => [3,2,4,1,5,6] => 3
{{1,3,5,6},{2,4}} => [3,4,5,2,6,1] => 28
{{1,3,5},{2,4,6}} => [3,4,5,6,1,2] => 14
{{1,3,5},{2,4},{6}} => [3,4,5,2,1,6] => 14
{{1,3,6},{2,4,5}} => [3,4,6,5,2,1] => 288
{{1,3},{2,4,5,6}} => [3,4,1,5,6,2] => 9
{{1,3},{2,4,5},{6}} => [3,4,1,5,2,6] => 5
{{1,3,6},{2,4},{5}} => [3,4,6,2,5,1] => 162
{{1,3},{2,4,6},{5}} => [3,4,1,6,5,2] => 49
{{1,3},{2,4},{5,6}} => [3,4,1,2,6,5] => 10
{{1,3},{2,4},{5},{6}} => [3,4,1,2,5,6] => 2
{{1,3,5,6},{2},{4}} => [3,2,5,4,6,1] => 29
{{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => 1320
{{1,3,5},{2},{4,6}} => [3,2,5,6,1,4] => 49
{{1,3,5},{2},{4},{6}} => [3,2,5,4,1,6] => 19
{{1,3,6},{2,5},{4}} => [3,5,6,4,2,1] => 990
{{1,3},{2,5,6},{4}} => [3,5,1,4,6,2] => 35
{{1,3},{2,5},{4,6}} => [3,5,1,6,2,4] => 42
{{1,3},{2,5},{4},{6}} => [3,5,1,4,2,6] => 16
{{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => 471
{{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => 432
{{1,3},{2},{4,5,6}} => [3,2,1,5,6,4] => 20
{{1,3},{2},{4,5},{6}} => [3,2,1,5,4,6] => 8
{{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => 99
{{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => 90
{{1,3},{2},{4,6},{5}} => [3,2,1,6,5,4] => 80
{{1,3},{2},{4},{5,6}} => [3,2,1,4,6,5] => 8
{{1,3},{2},{4},{5},{6}} => [3,2,1,4,5,6] => 2
{{1,4,5,6},{2,3}} => [4,3,2,5,6,1] => 64
{{1,4,5},{2,3,6}} => [4,3,6,5,1,2] => 552
{{1,4,5},{2,3},{6}} => [4,3,2,5,1,6] => 35
{{1,4,6},{2,3,5}} => [4,3,5,6,2,1] => 288
{{1,4},{2,3,5,6}} => [4,3,5,1,6,2] => 70
{{1,4},{2,3,5},{6}} => [4,3,5,1,2,6] => 21
{{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => 471
{{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => 384
{{1,4},{2,3},{5,6}} => [4,3,2,1,6,5] => 112
{{1,4},{2,3},{5},{6}} => [4,3,2,1,5,6] => 16
{{1,5,6},{2,3,4}} => [5,3,4,2,6,1] => 567
{{1,5},{2,3,4,6}} => [5,3,4,6,1,2] => 300
{{1,5},{2,3,4},{6}} => [5,3,4,2,1,6] => 216
{{1,6},{2,3,4,5}} => [6,3,4,5,2,1] => 3520
{{1},{2,3,4,5,6}} => [1,3,4,5,6,2] => 1
{{1},{2,3,4,5},{6}} => [1,3,4,5,2,6] => 1
{{1,6},{2,3,4},{5}} => [6,3,4,2,5,1] => 1540
{{1},{2,3,4,6},{5}} => [1,3,4,6,5,2] => 4
{{1},{2,3,4},{5,6}} => [1,3,4,2,6,5] => 3
{{1},{2,3,4},{5},{6}} => [1,3,4,2,5,6] => 1
{{1,5,6},{2,3},{4}} => [5,3,2,4,6,1] => 189
{{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => 1320
{{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => 432
{{1,5},{2,3},{4},{6}} => [5,3,2,4,1,6] => 90
{{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => 21450
{{1},{2,3,5,6},{4}} => [1,3,5,4,6,2] => 4
{{1},{2,3,5},{4,6}} => [1,3,5,6,2,4] => 5
{{1},{2,3,5},{4},{6}} => [1,3,5,4,2,6] => 3
{{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => 3080
{{1},{2,3,6},{4,5}} => [1,3,6,5,4,2] => 35
{{1},{2,3},{4,5,6}} => [1,3,2,5,6,4] => 3
{{1},{2,3},{4,5},{6}} => [1,3,2,5,4,6] => 2
{{1,6},{2,3},{4},{5}} => [6,3,2,4,5,1] => 448
{{1},{2,3,6},{4},{5}} => [1,3,6,4,5,2] => 10
{{1},{2,3},{4,6},{5}} => [1,3,2,6,5,4] => 8
{{1},{2,3},{4},{5,6}} => [1,3,2,4,6,5] => 2
{{1},{2,3},{4},{5},{6}} => [1,3,2,4,5,6] => 1
{{1,4,5,6},{2},{3}} => [4,2,3,5,6,1] => 15
{{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => 1320
{{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => 384
{{1,4,5},{2},{3},{6}} => [4,2,3,5,1,6] => 10
{{1,4,6},{2,5},{3}} => [4,5,3,6,2,1] => 990
{{1,4},{2,5,6},{3}} => [4,5,3,1,6,2] => 168
{{1,4},{2,5},{3,6}} => [4,5,6,1,2,3] => 42
{{1,4},{2,5},{3},{6}} => [4,5,3,1,2,6] => 42
{{1,4,6},{2},{3,5}} => [4,2,5,6,3,1] => 162
{{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => 1188
{{1,4},{2},{3,5,6}} => [4,2,5,1,6,3] => 56
{{1,4},{2},{3,5},{6}} => [4,2,5,1,3,6] => 16
{{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => 99
{{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => 768
{{1,4},{2},{3,6},{5}} => [4,2,6,1,5,3] => 244
{{1,4},{2},{3},{5,6}} => [4,2,3,1,6,5] => 36
{{1,4},{2},{3},{5},{6}} => [4,2,3,1,5,6] => 6
{{1,5,6},{2,4},{3}} => [5,4,3,2,6,1] => 2310
{{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => 1320
{{1,5},{2,4},{3,6}} => [5,4,6,2,1,3] => 1188
{{1,5},{2,4},{3},{6}} => [5,4,3,2,1,6] => 768
{{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => 21450
{{1},{2,4,5,6},{3}} => [1,4,3,5,6,2] => 4
{{1},{2,4,5},{3,6}} => [1,4,6,5,2,3] => 21
{{1},{2,4,5},{3},{6}} => [1,4,3,5,2,6] => 3
{{1,6},{2,4},{3,5}} => [6,4,5,2,3,1] => 16016
{{1},{2,4,6},{3,5}} => [1,4,5,6,3,2] => 14
{{1},{2,4},{3,5,6}} => [1,4,5,2,6,3] => 5
{{1},{2,4},{3,5},{6}} => [1,4,5,2,3,6] => 2
{{1,6},{2,4},{3},{5}} => [6,4,3,2,5,1] => 7700
{{1},{2,4,6},{3},{5}} => [1,4,3,6,5,2] => 19
{{1},{2,4},{3,6},{5}} => [1,4,6,2,5,3] => 16
{{1},{2,4},{3},{5,6}} => [1,4,3,2,6,5] => 8
{{1},{2,4},{3},{5},{6}} => [1,4,3,2,5,6] => 2
{{1,5,6},{2},{3,4}} => [5,2,4,3,6,1] => 189
{{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => 8580
{{1,5},{2},{3,4,6}} => [5,2,4,6,1,3] => 216
{{1,5},{2},{3,4},{6}} => [5,2,4,3,1,6] => 90
{{1,6},{2,5},{3,4}} => [6,5,4,3,2,1] => 292864
{{1},{2,5,6},{3,4}} => [1,5,4,3,6,2] => 35
{{1},{2,5},{3,4,6}} => [1,5,4,6,2,3] => 21
{{1},{2,5},{3,4},{6}} => [1,5,4,3,2,6] => 16
{{1,6},{2},{3,4,5}} => [6,2,4,5,3,1] => 1540
{{1},{2,6},{3,4,5}} => [1,6,4,5,3,2] => 216
{{1},{2},{3,4,5,6}} => [1,2,4,5,6,3] => 1
{{1},{2},{3,4,5},{6}} => [1,2,4,5,3,6] => 1
{{1,6},{2},{3,4},{5}} => [6,2,4,3,5,1] => 448
{{1},{2,6},{3,4},{5}} => [1,6,4,3,5,2] => 90
{{1},{2},{3,4,6},{5}} => [1,2,4,6,5,3] => 3
{{1},{2},{3,4},{5,6}} => [1,2,4,3,6,5] => 2
{{1},{2},{3,4},{5},{6}} => [1,2,4,3,5,6] => 1
{{1,5,6},{2},{3},{4}} => [5,2,3,4,6,1] => 35
{{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => 2640
{{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => 768
{{1,5},{2},{3},{4,6}} => [5,2,3,6,1,4] => 90
{{1,5},{2},{3},{4},{6}} => [5,2,3,4,1,6] => 20
{{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => 68640
{{1},{2,5,6},{3},{4}} => [1,5,3,4,6,2] => 10
{{1},{2,5},{3,6},{4}} => [1,5,6,4,2,3] => 42
{{1},{2,5},{3},{4,6}} => [1,5,3,6,2,4] => 16
{{1},{2,5},{3},{4},{6}} => [1,5,3,4,2,6] => 6
{{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => 7700
{{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => 768
{{1},{2},{3,5,6},{4}} => [1,2,5,4,6,3] => 3
{{1},{2},{3,5},{4,6}} => [1,2,5,6,3,4] => 2
{{1},{2},{3,5},{4},{6}} => [1,2,5,4,3,6] => 2
{{1,6},{2},{3},{4,5}} => [6,2,3,5,4,1] => 448
{{1},{2,6},{3},{4,5}} => [1,6,3,5,4,2] => 90
{{1},{2},{3,6},{4,5}} => [1,2,6,5,4,3] => 16
{{1},{2},{3},{4,5,6}} => [1,2,3,5,6,4] => 1
{{1},{2},{3},{4,5},{6}} => [1,2,3,5,4,6] => 1
{{1,6},{2},{3},{4},{5}} => [6,2,3,4,5,1] => 70
{{1},{2,6},{3},{4},{5}} => [1,6,3,4,5,2] => 20
{{1},{2},{3,6},{4},{5}} => [1,2,6,4,5,3] => 6
{{1},{2},{3},{4,6},{5}} => [1,2,3,6,5,4] => 2
{{1},{2},{3},{4},{5,6}} => [1,2,3,4,6,5] => 1
{{1},{2},{3},{4},{5},{6}} => [1,2,3,4,5,6] => 1
{{1,2,3,4,5,6,7}} => [2,3,4,5,6,7,1] => 1
{{1,2,3,4,5,6},{7}} => [2,3,4,5,6,1,7] => 1
{{1,2,3,4,5},{6,7}} => [2,3,4,5,1,7,6] => 5
{{1,2,3,4,5},{6},{7}} => [2,3,4,5,1,6,7] => 1
{{1,2,3,4,6},{5,7}} => [2,3,4,6,7,1,5] => 14
{{1,2,3,4},{5},{6,7}} => [2,3,4,1,5,7,6] => 4
{{1,2,3,4},{5},{6},{7}} => [2,3,4,1,5,6,7] => 1
{{1,2,3},{4},{5},{6},{7}} => [2,3,1,4,5,6,7] => 1
{{1,2,6},{3,5},{4},{7}} => [2,6,5,4,3,1,7] => 2310
{{1,2},{3,7},{4,6},{5}} => [2,1,7,6,5,4,3] => 8448
{{1,2},{3},{4},{5},{6},{7}} => [2,1,3,4,5,6,7] => 1
{{1,3,4,5,6,7},{2}} => [3,2,4,5,6,7,1] => 6
{{1,3,5,6,7},{2,4}} => [3,4,5,2,6,7,1] => 48
{{1,3},{2,4},{5},{6},{7}} => [3,4,1,2,5,6,7] => 2
{{1,3,6},{2,5},{4},{7}} => [3,5,6,4,2,1,7] => 990
{{1,3},{2},{4},{5},{6},{7}} => [3,2,1,4,5,6,7] => 2
{{1,4,5,6,7},{2,3}} => [4,3,2,5,6,7,1] => 105
{{1,4},{2,3},{5},{6},{7}} => [4,3,2,1,5,6,7] => 16
{{1,6},{2,3,4,5},{7}} => [6,3,4,5,2,1,7] => 3520
{{1,6},{2,3,4},{5},{7}} => [6,3,4,2,5,1,7] => 1540
{{1,5,6,7},{2,3},{4}} => [5,3,2,4,6,7,1] => 350
{{1,5},{2,3,6},{4,7}} => [5,3,6,7,1,2,4] => 2970
{{1,5},{2,3},{4,6},{7}} => [5,3,2,6,1,4,7] => 432
{{1,6},{2,3,5},{4},{7}} => [6,3,5,4,2,1,7] => 21450
{{1,6},{2,3},{4,5},{7}} => [6,3,2,5,4,1,7] => 3080
{{1},{2,3,7},{4,6},{5}} => [1,3,7,6,5,4,2] => 2310
{{1},{2,3},{4},{5},{6},{7}} => [1,3,2,4,5,6,7] => 1
{{1,4,5,6,7},{2},{3}} => [4,2,3,5,6,7,1] => 21
{{1,4,6},{2,5},{3},{7}} => [4,5,3,6,2,1,7] => 990
{{1,4},{2,5},{3,6},{7}} => [4,5,6,1,2,3,7] => 42
{{1,4},{2},{3,5},{6},{7}} => [4,2,5,1,3,6,7] => 16
{{1,5,6},{2,4},{3},{7}} => [5,4,3,2,6,1,7] => 2310
{{1,5},{2,4},{3},{6,7}} => [5,4,3,2,1,7,6] => 8448
{{1,5},{2,4},{3},{6},{7}} => [5,4,3,2,1,6,7] => 768
{{1,6},{2,4,5},{3},{7}} => [6,4,3,5,2,1,7] => 21450
{{1,6},{2,4},{3,7},{5}} => [6,4,7,2,5,1,3] => 292864
{{1,6},{2,4},{3},{5,7}} => [6,4,3,2,7,1,5] => 58916
{{1,6},{2,4},{3},{5},{7}} => [6,4,3,2,5,1,7] => 7700
{{1},{2,4,7},{3,6},{5}} => [1,4,6,7,5,3,2] => 990
{{1,6},{2,5},{3,4},{7}} => [6,5,4,3,2,1,7] => 292864
{{1,6},{2},{3,4,5},{7}} => [6,2,4,5,3,1,7] => 1540
{{1},{2,7},{3,4,5,6}} => [1,7,4,5,6,3,2] => 3520
{{1},{2,7},{3,4,5},{6}} => [1,7,4,5,3,6,2] => 1540
{{1},{2,7},{3,4,6},{5}} => [1,7,4,6,5,3,2] => 21450
{{1},{2,7},{3,4},{5,6}} => [1,7,4,3,6,5,2] => 3080
{{1,5,6,7},{2},{3},{4}} => [5,2,3,4,6,7,1] => 56
{{1,5},{2,6},{3},{4},{7}} => [5,6,3,4,1,2,7] => 2640
{{1,5},{2},{3,6},{4,7}} => [5,2,6,7,1,3,4] => 1188
{{1,6},{2,5},{3},{4},{7}} => [6,5,3,4,2,1,7] => 68640
{{1},{2,5,7},{3,6},{4}} => [1,5,6,4,7,3,2] => 990
{{1},{2,5},{3,6},{4,7}} => [1,5,6,7,2,3,4] => 42
{{1,6},{2},{3,5},{4},{7}} => [6,2,5,4,3,1,7] => 7700
{{1},{2,6,7},{3,5},{4}} => [1,6,5,4,3,7,2] => 2310
{{1},{2,7},{3,5,6},{4}} => [1,7,5,4,6,3,2] => 21450
{{1},{2,7},{3,5},{4},{6}} => [1,7,5,4,3,6,2] => 7700
{{1},{2,7},{3,6},{4,5}} => [1,7,6,5,4,3,2] => 292864
{{1},{2,7},{3},{4,5,6}} => [1,7,3,5,6,4,2] => 1540
{{1,6,7},{2},{3},{4},{5}} => [6,2,3,4,5,7,1] => 126
{{1},{2,7},{3,6},{4},{5}} => [1,7,6,4,5,3,2] => 68640
{{1},{2,7},{3},{4,6},{5}} => [1,7,3,6,5,4,2] => 7700
{{1},{2},{3},{4},{5,6},{7}} => [1,2,3,4,6,5,7] => 1
{{1},{2},{3},{4},{5},{6,7}} => [1,2,3,4,5,7,6] => 1
{{1},{2},{3},{4},{5},{6},{7}} => [1,2,3,4,5,6,7] => 1
{{1},{2},{3},{4},{5},{6},{7},{8}} => [1,2,3,4,5,6,7,8] => 1
{{1},{2},{3},{4},{5},{6},{7,8}} => [1,2,3,4,5,6,8,7] => 1
{{1},{2},{3},{4,5,6,7,8}} => [1,2,3,5,6,7,8,4] => 1
{{1},{2},{3,4},{5,6},{7},{8}} => [1,2,4,3,6,5,7,8] => 2
{{1},{2,3},{4},{5},{6,7},{8}} => [1,3,2,4,5,7,6,8] => 2
{{1},{2,3},{4,5},{6,7},{8}} => [1,3,2,5,4,7,6,8] => 6
{{1},{2,4},{3},{5,7},{6},{8}} => [1,4,3,2,7,6,5,8] => 80
{{1},{2,4,6,8},{3},{5},{7}} => [1,4,3,6,5,8,7,2] => 314
{{1},{2,4,8},{3},{5,7},{6}} => [1,4,3,8,7,6,5,2] => 61204
{{1},{2,3,4},{5,6,7},{8}} => [1,3,4,2,6,7,5,8] => 6
{{1},{2,6,8},{3,5},{4},{7}} => [1,6,5,4,3,8,7,2] => 61204
{{1},{2},{3},{4},{5},{6},{7},{8},{9}} => [1,2,3,4,5,6,7,8,9] => 1
{{1},{2},{3},{4},{5},{6},{7},{8,9}} => [1,2,3,4,5,6,7,9,8] => 1
{{1},{2},{3},{4},{5},{6},{7},{8},{9},{10}} => [1,2,3,4,5,6,7,8,9,10] => 1
{{1},{2},{3},{4},{5},{6},{7},{8},{9,10}} => [1,2,3,4,5,6,7,8,10,9] => 1
{{1},{2,6},{3,7},{4},{5},{8}} => [1,6,7,4,5,2,3,8] => 2640
{{1},{2,5,6},{3,4,7},{8}} => [1,5,4,7,6,2,3,8] => 552
{{1},{2,4,6},{3,5,7},{8}} => [1,4,5,6,7,2,3,8] => 14
{{1},{2,3,5},{4,6,7},{8}} => [1,3,5,6,2,7,4,8] => 14
{{1},{2},{3,5},{4,6},{7},{8}} => [1,2,5,6,3,4,7,8] => 2
{{1},{2,5},{3},{4,7},{6},{8}} => [1,5,3,7,2,6,4,8] => 244
{{1},{2,3,7},{4},{5,6,8}} => [1,3,7,4,6,8,2,5] => 567
{{1},{2,7},{3,6,8},{4,5}} => [1,7,6,5,4,8,2,3] => 640640
{{1},{2,3,5,8},{4,7},{6}} => [1,3,5,7,8,6,4,2] => 2673
{{1},{2,7},{3},{4,5,6,8}} => [1,7,3,5,6,8,2,4] => 3520
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Description
The number of reduced words for a permutation.
This is the number of ways to write a permutation as a minimal length product of simple transpositions. E.g., there are two reduced words for the permutation $[3,2,1]$, which are $(1,2)(2,3)(1,2) = (2,3)(1,2)(2,3)$.
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Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.