Identifier
Values
[1] => [1,0] => 1
[1,2] => [1,0,1,0] => 1
[2,1] => [1,1,0,0] => 1
[1,2,3] => [1,0,1,0,1,0] => 1
[1,3,2] => [1,0,1,1,0,0] => 1
[2,1,3] => [1,1,0,0,1,0] => 1
[2,3,1] => [1,1,0,1,0,0] => 2
[3,1,2] => [1,1,1,0,0,0] => 2
[3,2,1] => [1,1,1,0,0,0] => 2
[1,2,3,4] => [1,0,1,0,1,0,1,0] => 1
[1,2,4,3] => [1,0,1,0,1,1,0,0] => 1
[1,3,2,4] => [1,0,1,1,0,0,1,0] => 1
[1,3,4,2] => [1,0,1,1,0,1,0,0] => 2
[1,4,2,3] => [1,0,1,1,1,0,0,0] => 2
[1,4,3,2] => [1,0,1,1,1,0,0,0] => 2
[2,1,3,4] => [1,1,0,0,1,0,1,0] => 1
[2,1,4,3] => [1,1,0,0,1,1,0,0] => 1
[2,3,1,4] => [1,1,0,1,0,0,1,0] => 2
[2,3,4,1] => [1,1,0,1,0,1,0,0] => 5
[2,4,1,3] => [1,1,0,1,1,0,0,0] => 5
[2,4,3,1] => [1,1,0,1,1,0,0,0] => 5
[3,1,2,4] => [1,1,1,0,0,0,1,0] => 2
[3,1,4,2] => [1,1,1,0,0,1,0,0] => 5
[3,2,1,4] => [1,1,1,0,0,0,1,0] => 2
[3,2,4,1] => [1,1,1,0,0,1,0,0] => 5
[3,4,1,2] => [1,1,1,0,1,0,0,0] => 7
[3,4,2,1] => [1,1,1,0,1,0,0,0] => 7
[4,1,2,3] => [1,1,1,1,0,0,0,0] => 7
[4,1,3,2] => [1,1,1,1,0,0,0,0] => 7
[4,2,1,3] => [1,1,1,1,0,0,0,0] => 7
[4,2,3,1] => [1,1,1,1,0,0,0,0] => 7
[4,3,1,2] => [1,1,1,1,0,0,0,0] => 7
[4,3,2,1] => [1,1,1,1,0,0,0,0] => 7
[1,2,3,4,5] => [1,0,1,0,1,0,1,0,1,0] => 1
[1,2,3,5,4] => [1,0,1,0,1,0,1,1,0,0] => 1
[1,2,4,3,5] => [1,0,1,0,1,1,0,0,1,0] => 1
[1,2,4,5,3] => [1,0,1,0,1,1,0,1,0,0] => 2
[1,2,5,3,4] => [1,0,1,0,1,1,1,0,0,0] => 2
[1,2,5,4,3] => [1,0,1,0,1,1,1,0,0,0] => 2
[1,3,2,4,5] => [1,0,1,1,0,0,1,0,1,0] => 1
[1,3,2,5,4] => [1,0,1,1,0,0,1,1,0,0] => 1
[1,3,4,2,5] => [1,0,1,1,0,1,0,0,1,0] => 2
[1,3,4,5,2] => [1,0,1,1,0,1,0,1,0,0] => 5
[1,3,5,2,4] => [1,0,1,1,0,1,1,0,0,0] => 5
[1,3,5,4,2] => [1,0,1,1,0,1,1,0,0,0] => 5
[1,4,2,3,5] => [1,0,1,1,1,0,0,0,1,0] => 2
[1,4,2,5,3] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,4,3,2,5] => [1,0,1,1,1,0,0,0,1,0] => 2
[1,4,3,5,2] => [1,0,1,1,1,0,0,1,0,0] => 5
[1,4,5,2,3] => [1,0,1,1,1,0,1,0,0,0] => 7
[1,4,5,3,2] => [1,0,1,1,1,0,1,0,0,0] => 7
[1,5,2,3,4] => [1,0,1,1,1,1,0,0,0,0] => 7
[1,5,2,4,3] => [1,0,1,1,1,1,0,0,0,0] => 7
[1,5,3,2,4] => [1,0,1,1,1,1,0,0,0,0] => 7
[1,5,3,4,2] => [1,0,1,1,1,1,0,0,0,0] => 7
[1,5,4,2,3] => [1,0,1,1,1,1,0,0,0,0] => 7
[1,5,4,3,2] => [1,0,1,1,1,1,0,0,0,0] => 7
[2,1,3,4,5] => [1,1,0,0,1,0,1,0,1,0] => 1
[2,1,3,5,4] => [1,1,0,0,1,0,1,1,0,0] => 1
[2,1,4,3,5] => [1,1,0,0,1,1,0,0,1,0] => 1
[2,1,4,5,3] => [1,1,0,0,1,1,0,1,0,0] => 2
[2,1,5,3,4] => [1,1,0,0,1,1,1,0,0,0] => 2
[2,1,5,4,3] => [1,1,0,0,1,1,1,0,0,0] => 2
[2,3,1,4,5] => [1,1,0,1,0,0,1,0,1,0] => 2
[2,3,1,5,4] => [1,1,0,1,0,0,1,1,0,0] => 2
[2,3,4,1,5] => [1,1,0,1,0,1,0,0,1,0] => 5
[2,3,4,5,1] => [1,1,0,1,0,1,0,1,0,0] => 14
[2,3,5,1,4] => [1,1,0,1,0,1,1,0,0,0] => 14
[2,3,5,4,1] => [1,1,0,1,0,1,1,0,0,0] => 14
[2,4,1,3,5] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,4,1,5,3] => [1,1,0,1,1,0,0,1,0,0] => 14
[2,4,3,1,5] => [1,1,0,1,1,0,0,0,1,0] => 5
[2,4,3,5,1] => [1,1,0,1,1,0,0,1,0,0] => 14
[2,4,5,1,3] => [1,1,0,1,1,0,1,0,0,0] => 21
[2,4,5,3,1] => [1,1,0,1,1,0,1,0,0,0] => 21
[2,5,1,3,4] => [1,1,0,1,1,1,0,0,0,0] => 21
[2,5,1,4,3] => [1,1,0,1,1,1,0,0,0,0] => 21
[2,5,3,1,4] => [1,1,0,1,1,1,0,0,0,0] => 21
[2,5,3,4,1] => [1,1,0,1,1,1,0,0,0,0] => 21
[2,5,4,1,3] => [1,1,0,1,1,1,0,0,0,0] => 21
[2,5,4,3,1] => [1,1,0,1,1,1,0,0,0,0] => 21
[3,1,2,4,5] => [1,1,1,0,0,0,1,0,1,0] => 2
[3,1,2,5,4] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,1,4,2,5] => [1,1,1,0,0,1,0,0,1,0] => 5
[3,1,4,5,2] => [1,1,1,0,0,1,0,1,0,0] => 14
[3,1,5,2,4] => [1,1,1,0,0,1,1,0,0,0] => 14
[3,1,5,4,2] => [1,1,1,0,0,1,1,0,0,0] => 14
[3,2,1,4,5] => [1,1,1,0,0,0,1,0,1,0] => 2
[3,2,1,5,4] => [1,1,1,0,0,0,1,1,0,0] => 2
[3,2,4,1,5] => [1,1,1,0,0,1,0,0,1,0] => 5
[3,2,4,5,1] => [1,1,1,0,0,1,0,1,0,0] => 14
[3,2,5,1,4] => [1,1,1,0,0,1,1,0,0,0] => 14
[3,2,5,4,1] => [1,1,1,0,0,1,1,0,0,0] => 14
[3,4,1,2,5] => [1,1,1,0,1,0,0,0,1,0] => 7
[3,4,1,5,2] => [1,1,1,0,1,0,0,1,0,0] => 21
[3,4,2,1,5] => [1,1,1,0,1,0,0,0,1,0] => 7
[3,4,2,5,1] => [1,1,1,0,1,0,0,1,0,0] => 21
[3,4,5,1,2] => [1,1,1,0,1,0,1,0,0,0] => 35
[3,4,5,2,1] => [1,1,1,0,1,0,1,0,0,0] => 35
[3,5,1,2,4] => [1,1,1,0,1,1,0,0,0,0] => 35
[3,5,1,4,2] => [1,1,1,0,1,1,0,0,0,0] => 35
>>> Load all 873 entries. <<<
[3,5,2,1,4] => [1,1,1,0,1,1,0,0,0,0] => 35
[3,5,2,4,1] => [1,1,1,0,1,1,0,0,0,0] => 35
[3,5,4,1,2] => [1,1,1,0,1,1,0,0,0,0] => 35
[3,5,4,2,1] => [1,1,1,0,1,1,0,0,0,0] => 35
[4,1,2,3,5] => [1,1,1,1,0,0,0,0,1,0] => 7
[4,1,2,5,3] => [1,1,1,1,0,0,0,1,0,0] => 21
[4,1,3,2,5] => [1,1,1,1,0,0,0,0,1,0] => 7
[4,1,3,5,2] => [1,1,1,1,0,0,0,1,0,0] => 21
[4,1,5,2,3] => [1,1,1,1,0,0,1,0,0,0] => 35
[4,1,5,3,2] => [1,1,1,1,0,0,1,0,0,0] => 35
[4,2,1,3,5] => [1,1,1,1,0,0,0,0,1,0] => 7
[4,2,1,5,3] => [1,1,1,1,0,0,0,1,0,0] => 21
[4,2,3,1,5] => [1,1,1,1,0,0,0,0,1,0] => 7
[4,2,3,5,1] => [1,1,1,1,0,0,0,1,0,0] => 21
[4,2,5,1,3] => [1,1,1,1,0,0,1,0,0,0] => 35
[4,2,5,3,1] => [1,1,1,1,0,0,1,0,0,0] => 35
[4,3,1,2,5] => [1,1,1,1,0,0,0,0,1,0] => 7
[4,3,1,5,2] => [1,1,1,1,0,0,0,1,0,0] => 21
[4,3,2,1,5] => [1,1,1,1,0,0,0,0,1,0] => 7
[4,3,2,5,1] => [1,1,1,1,0,0,0,1,0,0] => 21
[4,3,5,1,2] => [1,1,1,1,0,0,1,0,0,0] => 35
[4,3,5,2,1] => [1,1,1,1,0,0,1,0,0,0] => 35
[4,5,1,2,3] => [1,1,1,1,0,1,0,0,0,0] => 42
[4,5,1,3,2] => [1,1,1,1,0,1,0,0,0,0] => 42
[4,5,2,1,3] => [1,1,1,1,0,1,0,0,0,0] => 42
[4,5,2,3,1] => [1,1,1,1,0,1,0,0,0,0] => 42
[4,5,3,1,2] => [1,1,1,1,0,1,0,0,0,0] => 42
[4,5,3,2,1] => [1,1,1,1,0,1,0,0,0,0] => 42
[5,1,2,3,4] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,1,2,4,3] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,1,3,2,4] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,1,3,4,2] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,1,4,2,3] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,1,4,3,2] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,2,1,3,4] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,2,1,4,3] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,2,3,1,4] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,2,3,4,1] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,2,4,1,3] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,2,4,3,1] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,3,1,2,4] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,3,1,4,2] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,3,2,1,4] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,3,2,4,1] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,3,4,1,2] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,3,4,2,1] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,4,1,2,3] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,4,1,3,2] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,4,2,1,3] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,4,2,3,1] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,4,3,1,2] => [1,1,1,1,1,0,0,0,0,0] => 42
[5,4,3,2,1] => [1,1,1,1,1,0,0,0,0,0] => 42
[1,2,3,4,5,6] => [1,0,1,0,1,0,1,0,1,0,1,0] => 1
[1,2,3,4,6,5] => [1,0,1,0,1,0,1,0,1,1,0,0] => 1
[1,2,3,5,4,6] => [1,0,1,0,1,0,1,1,0,0,1,0] => 1
[1,2,3,5,6,4] => [1,0,1,0,1,0,1,1,0,1,0,0] => 2
[1,2,3,6,4,5] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,2,3,6,5,4] => [1,0,1,0,1,0,1,1,1,0,0,0] => 2
[1,2,4,3,5,6] => [1,0,1,0,1,1,0,0,1,0,1,0] => 1
[1,2,4,3,6,5] => [1,0,1,0,1,1,0,0,1,1,0,0] => 1
[1,2,4,5,3,6] => [1,0,1,0,1,1,0,1,0,0,1,0] => 2
[1,2,4,5,6,3] => [1,0,1,0,1,1,0,1,0,1,0,0] => 5
[1,2,4,6,3,5] => [1,0,1,0,1,1,0,1,1,0,0,0] => 5
[1,2,4,6,5,3] => [1,0,1,0,1,1,0,1,1,0,0,0] => 5
[1,2,5,3,4,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,2,5,3,6,4] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
[1,2,5,4,3,6] => [1,0,1,0,1,1,1,0,0,0,1,0] => 2
[1,2,5,4,6,3] => [1,0,1,0,1,1,1,0,0,1,0,0] => 5
[1,2,5,6,3,4] => [1,0,1,0,1,1,1,0,1,0,0,0] => 7
[1,2,5,6,4,3] => [1,0,1,0,1,1,1,0,1,0,0,0] => 7
[1,2,6,3,4,5] => [1,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,2,6,3,5,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,2,6,4,3,5] => [1,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,2,6,4,5,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,2,6,5,3,4] => [1,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,2,6,5,4,3] => [1,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,3,2,4,5,6] => [1,0,1,1,0,0,1,0,1,0,1,0] => 1
[1,3,2,4,6,5] => [1,0,1,1,0,0,1,0,1,1,0,0] => 1
[1,3,2,5,4,6] => [1,0,1,1,0,0,1,1,0,0,1,0] => 1
[1,3,2,5,6,4] => [1,0,1,1,0,0,1,1,0,1,0,0] => 2
[1,3,2,6,4,5] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,3,2,6,5,4] => [1,0,1,1,0,0,1,1,1,0,0,0] => 2
[1,3,4,2,5,6] => [1,0,1,1,0,1,0,0,1,0,1,0] => 2
[1,3,4,2,6,5] => [1,0,1,1,0,1,0,0,1,1,0,0] => 2
[1,3,4,5,2,6] => [1,0,1,1,0,1,0,1,0,0,1,0] => 5
[1,3,4,5,6,2] => [1,0,1,1,0,1,0,1,0,1,0,0] => 14
[1,3,4,6,2,5] => [1,0,1,1,0,1,0,1,1,0,0,0] => 14
[1,3,4,6,5,2] => [1,0,1,1,0,1,0,1,1,0,0,0] => 14
[1,3,5,2,4,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,3,5,2,6,4] => [1,0,1,1,0,1,1,0,0,1,0,0] => 14
[1,3,5,4,2,6] => [1,0,1,1,0,1,1,0,0,0,1,0] => 5
[1,3,5,4,6,2] => [1,0,1,1,0,1,1,0,0,1,0,0] => 14
[1,3,5,6,2,4] => [1,0,1,1,0,1,1,0,1,0,0,0] => 21
[1,3,5,6,4,2] => [1,0,1,1,0,1,1,0,1,0,0,0] => 21
[1,3,6,2,4,5] => [1,0,1,1,0,1,1,1,0,0,0,0] => 21
[1,3,6,2,5,4] => [1,0,1,1,0,1,1,1,0,0,0,0] => 21
[1,3,6,4,2,5] => [1,0,1,1,0,1,1,1,0,0,0,0] => 21
[1,3,6,4,5,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 21
[1,3,6,5,2,4] => [1,0,1,1,0,1,1,1,0,0,0,0] => 21
[1,3,6,5,4,2] => [1,0,1,1,0,1,1,1,0,0,0,0] => 21
[1,4,2,3,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,4,2,3,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,4,2,5,3,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,4,2,5,6,3] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
[1,4,2,6,3,5] => [1,0,1,1,1,0,0,1,1,0,0,0] => 14
[1,4,2,6,5,3] => [1,0,1,1,1,0,0,1,1,0,0,0] => 14
[1,4,3,2,5,6] => [1,0,1,1,1,0,0,0,1,0,1,0] => 2
[1,4,3,2,6,5] => [1,0,1,1,1,0,0,0,1,1,0,0] => 2
[1,4,3,5,2,6] => [1,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,4,3,5,6,2] => [1,0,1,1,1,0,0,1,0,1,0,0] => 14
[1,4,3,6,2,5] => [1,0,1,1,1,0,0,1,1,0,0,0] => 14
[1,4,3,6,5,2] => [1,0,1,1,1,0,0,1,1,0,0,0] => 14
[1,4,5,2,3,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 7
[1,4,5,2,6,3] => [1,0,1,1,1,0,1,0,0,1,0,0] => 21
[1,4,5,3,2,6] => [1,0,1,1,1,0,1,0,0,0,1,0] => 7
[1,4,5,3,6,2] => [1,0,1,1,1,0,1,0,0,1,0,0] => 21
[1,4,5,6,2,3] => [1,0,1,1,1,0,1,0,1,0,0,0] => 35
[1,4,5,6,3,2] => [1,0,1,1,1,0,1,0,1,0,0,0] => 35
[1,4,6,2,3,5] => [1,0,1,1,1,0,1,1,0,0,0,0] => 35
[1,4,6,2,5,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 35
[1,4,6,3,2,5] => [1,0,1,1,1,0,1,1,0,0,0,0] => 35
[1,4,6,3,5,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 35
[1,4,6,5,2,3] => [1,0,1,1,1,0,1,1,0,0,0,0] => 35
[1,4,6,5,3,2] => [1,0,1,1,1,0,1,1,0,0,0,0] => 35
[1,5,2,3,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,5,2,3,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0] => 21
[1,5,2,4,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,5,2,4,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0] => 21
[1,5,2,6,3,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => 35
[1,5,2,6,4,3] => [1,0,1,1,1,1,0,0,1,0,0,0] => 35
[1,5,3,2,4,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,2,6,4] => [1,0,1,1,1,1,0,0,0,1,0,0] => 21
[1,5,3,4,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,5,3,4,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 21
[1,5,3,6,2,4] => [1,0,1,1,1,1,0,0,1,0,0,0] => 35
[1,5,3,6,4,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 35
[1,5,4,2,3,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,5,4,2,6,3] => [1,0,1,1,1,1,0,0,0,1,0,0] => 21
[1,5,4,3,2,6] => [1,0,1,1,1,1,0,0,0,0,1,0] => 7
[1,5,4,3,6,2] => [1,0,1,1,1,1,0,0,0,1,0,0] => 21
[1,5,4,6,2,3] => [1,0,1,1,1,1,0,0,1,0,0,0] => 35
[1,5,4,6,3,2] => [1,0,1,1,1,1,0,0,1,0,0,0] => 35
[1,5,6,2,3,4] => [1,0,1,1,1,1,0,1,0,0,0,0] => 42
[1,5,6,2,4,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => 42
[1,5,6,3,2,4] => [1,0,1,1,1,1,0,1,0,0,0,0] => 42
[1,5,6,3,4,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 42
[1,5,6,4,2,3] => [1,0,1,1,1,1,0,1,0,0,0,0] => 42
[1,5,6,4,3,2] => [1,0,1,1,1,1,0,1,0,0,0,0] => 42
[1,6,2,3,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,2,3,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,2,4,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,2,4,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,2,5,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,2,5,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,3,2,4,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,3,2,5,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,3,4,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,3,4,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,3,5,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,3,5,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,4,2,3,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,4,2,5,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,4,3,2,5] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,4,3,5,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,4,5,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,4,5,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,5,2,3,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,5,2,4,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,5,3,2,4] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,5,3,4,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,5,4,2,3] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[1,6,5,4,3,2] => [1,0,1,1,1,1,1,0,0,0,0,0] => 42
[2,1,3,4,5,6] => [1,1,0,0,1,0,1,0,1,0,1,0] => 1
[2,1,3,4,6,5] => [1,1,0,0,1,0,1,0,1,1,0,0] => 1
[2,1,3,5,4,6] => [1,1,0,0,1,0,1,1,0,0,1,0] => 1
[2,1,3,5,6,4] => [1,1,0,0,1,0,1,1,0,1,0,0] => 2
[2,1,3,6,4,5] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,1,3,6,5,4] => [1,1,0,0,1,0,1,1,1,0,0,0] => 2
[2,1,4,3,5,6] => [1,1,0,0,1,1,0,0,1,0,1,0] => 1
[2,1,4,3,6,5] => [1,1,0,0,1,1,0,0,1,1,0,0] => 1
[2,1,4,5,3,6] => [1,1,0,0,1,1,0,1,0,0,1,0] => 2
[2,1,4,5,6,3] => [1,1,0,0,1,1,0,1,0,1,0,0] => 5
[2,1,4,6,3,5] => [1,1,0,0,1,1,0,1,1,0,0,0] => 5
[2,1,4,6,5,3] => [1,1,0,0,1,1,0,1,1,0,0,0] => 5
[2,1,5,3,4,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[2,1,5,3,6,4] => [1,1,0,0,1,1,1,0,0,1,0,0] => 5
[2,1,5,4,3,6] => [1,1,0,0,1,1,1,0,0,0,1,0] => 2
[2,1,5,4,6,3] => [1,1,0,0,1,1,1,0,0,1,0,0] => 5
[2,1,5,6,3,4] => [1,1,0,0,1,1,1,0,1,0,0,0] => 7
[2,1,5,6,4,3] => [1,1,0,0,1,1,1,0,1,0,0,0] => 7
[2,1,6,3,4,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,1,6,3,5,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,1,6,4,3,5] => [1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,1,6,4,5,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,1,6,5,3,4] => [1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,1,6,5,4,3] => [1,1,0,0,1,1,1,1,0,0,0,0] => 7
[2,3,1,4,5,6] => [1,1,0,1,0,0,1,0,1,0,1,0] => 2
[2,3,1,4,6,5] => [1,1,0,1,0,0,1,0,1,1,0,0] => 2
[2,3,1,5,4,6] => [1,1,0,1,0,0,1,1,0,0,1,0] => 2
[2,3,1,5,6,4] => [1,1,0,1,0,0,1,1,0,1,0,0] => 4
[2,3,1,6,4,5] => [1,1,0,1,0,0,1,1,1,0,0,0] => 4
[2,3,1,6,5,4] => [1,1,0,1,0,0,1,1,1,0,0,0] => 4
[2,3,4,1,5,6] => [1,1,0,1,0,1,0,0,1,0,1,0] => 5
[2,3,4,1,6,5] => [1,1,0,1,0,1,0,0,1,1,0,0] => 5
[2,3,4,5,1,6] => [1,1,0,1,0,1,0,1,0,0,1,0] => 14
[2,3,4,5,6,1] => [1,1,0,1,0,1,0,1,0,1,0,0] => 42
[2,3,4,6,1,5] => [1,1,0,1,0,1,0,1,1,0,0,0] => 42
[2,3,4,6,5,1] => [1,1,0,1,0,1,0,1,1,0,0,0] => 42
[2,3,5,1,4,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 14
[2,3,5,1,6,4] => [1,1,0,1,0,1,1,0,0,1,0,0] => 42
[2,3,5,4,1,6] => [1,1,0,1,0,1,1,0,0,0,1,0] => 14
[2,3,5,4,6,1] => [1,1,0,1,0,1,1,0,0,1,0,0] => 42
[2,3,5,6,1,4] => [1,1,0,1,0,1,1,0,1,0,0,0] => 65
[2,3,5,6,4,1] => [1,1,0,1,0,1,1,0,1,0,0,0] => 65
[2,3,6,1,4,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => 65
[2,3,6,1,5,4] => [1,1,0,1,0,1,1,1,0,0,0,0] => 65
[2,3,6,4,1,5] => [1,1,0,1,0,1,1,1,0,0,0,0] => 65
[2,3,6,4,5,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 65
[2,3,6,5,1,4] => [1,1,0,1,0,1,1,1,0,0,0,0] => 65
[2,3,6,5,4,1] => [1,1,0,1,0,1,1,1,0,0,0,0] => 65
[2,4,1,3,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 5
[2,4,1,3,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 5
[2,4,1,5,3,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 14
[2,4,1,5,6,3] => [1,1,0,1,1,0,0,1,0,1,0,0] => 42
[2,4,1,6,3,5] => [1,1,0,1,1,0,0,1,1,0,0,0] => 42
[2,4,1,6,5,3] => [1,1,0,1,1,0,0,1,1,0,0,0] => 42
[2,4,3,1,5,6] => [1,1,0,1,1,0,0,0,1,0,1,0] => 5
[2,4,3,1,6,5] => [1,1,0,1,1,0,0,0,1,1,0,0] => 5
[2,4,3,5,1,6] => [1,1,0,1,1,0,0,1,0,0,1,0] => 14
[2,4,3,5,6,1] => [1,1,0,1,1,0,0,1,0,1,0,0] => 42
[2,4,3,6,1,5] => [1,1,0,1,1,0,0,1,1,0,0,0] => 42
[2,4,3,6,5,1] => [1,1,0,1,1,0,0,1,1,0,0,0] => 42
[2,4,5,1,3,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 21
[2,4,5,1,6,3] => [1,1,0,1,1,0,1,0,0,1,0,0] => 68
[2,4,5,3,1,6] => [1,1,0,1,1,0,1,0,0,0,1,0] => 21
[2,4,5,3,6,1] => [1,1,0,1,1,0,1,0,0,1,0,0] => 68
[2,4,5,6,1,3] => [1,1,0,1,1,0,1,0,1,0,0,0] => 119
[2,4,5,6,3,1] => [1,1,0,1,1,0,1,0,1,0,0,0] => 119
[2,4,6,1,3,5] => [1,1,0,1,1,0,1,1,0,0,0,0] => 119
[2,4,6,1,5,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 119
[2,4,6,3,1,5] => [1,1,0,1,1,0,1,1,0,0,0,0] => 119
[2,4,6,3,5,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 119
[2,4,6,5,1,3] => [1,1,0,1,1,0,1,1,0,0,0,0] => 119
[2,4,6,5,3,1] => [1,1,0,1,1,0,1,1,0,0,0,0] => 119
[2,5,1,3,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 21
[2,5,1,3,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0] => 68
[2,5,1,4,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 21
[2,5,1,4,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0] => 68
[2,5,1,6,3,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 119
[2,5,1,6,4,3] => [1,1,0,1,1,1,0,0,1,0,0,0] => 119
[2,5,3,1,4,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 21
[2,5,3,1,6,4] => [1,1,0,1,1,1,0,0,0,1,0,0] => 68
[2,5,3,4,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 21
[2,5,3,4,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 68
[2,5,3,6,1,4] => [1,1,0,1,1,1,0,0,1,0,0,0] => 119
[2,5,3,6,4,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 119
[2,5,4,1,3,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 21
[2,5,4,1,6,3] => [1,1,0,1,1,1,0,0,0,1,0,0] => 68
[2,5,4,3,1,6] => [1,1,0,1,1,1,0,0,0,0,1,0] => 21
[2,5,4,3,6,1] => [1,1,0,1,1,1,0,0,0,1,0,0] => 68
[2,5,4,6,1,3] => [1,1,0,1,1,1,0,0,1,0,0,0] => 119
[2,5,4,6,3,1] => [1,1,0,1,1,1,0,0,1,0,0,0] => 119
[2,5,6,1,3,4] => [1,1,0,1,1,1,0,1,0,0,0,0] => 147
[2,5,6,1,4,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 147
[2,5,6,3,1,4] => [1,1,0,1,1,1,0,1,0,0,0,0] => 147
[2,5,6,3,4,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 147
[2,5,6,4,1,3] => [1,1,0,1,1,1,0,1,0,0,0,0] => 147
[2,5,6,4,3,1] => [1,1,0,1,1,1,0,1,0,0,0,0] => 147
[2,6,1,3,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,1,3,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,1,4,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,1,4,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,1,5,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,1,5,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,3,1,4,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,3,1,5,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,3,4,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,3,4,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,3,5,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,3,5,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,4,1,3,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,4,1,5,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,4,3,1,5] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,4,3,5,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,4,5,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,4,5,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,5,1,3,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,5,1,4,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,5,3,1,4] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,5,3,4,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,5,4,1,3] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[2,6,5,4,3,1] => [1,1,0,1,1,1,1,0,0,0,0,0] => 147
[3,1,2,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 2
[3,1,2,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[3,1,2,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 2
[3,1,2,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[3,1,2,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[3,1,2,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[3,1,4,2,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 5
[3,1,4,2,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 5
[3,1,4,5,2,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 14
[3,1,4,5,6,2] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
[3,1,4,6,2,5] => [1,1,1,0,0,1,0,1,1,0,0,0] => 42
[3,1,4,6,5,2] => [1,1,1,0,0,1,0,1,1,0,0,0] => 42
[3,1,5,2,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 14
[3,1,5,2,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 42
[3,1,5,4,2,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 14
[3,1,5,4,6,2] => [1,1,1,0,0,1,1,0,0,1,0,0] => 42
[3,1,5,6,2,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 65
[3,1,5,6,4,2] => [1,1,1,0,0,1,1,0,1,0,0,0] => 65
[3,1,6,2,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,1,6,2,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,1,6,4,2,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,1,6,4,5,2] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,1,6,5,2,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,1,6,5,4,2] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,2,1,4,5,6] => [1,1,1,0,0,0,1,0,1,0,1,0] => 2
[3,2,1,4,6,5] => [1,1,1,0,0,0,1,0,1,1,0,0] => 2
[3,2,1,5,4,6] => [1,1,1,0,0,0,1,1,0,0,1,0] => 2
[3,2,1,5,6,4] => [1,1,1,0,0,0,1,1,0,1,0,0] => 4
[3,2,1,6,4,5] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[3,2,1,6,5,4] => [1,1,1,0,0,0,1,1,1,0,0,0] => 4
[3,2,4,1,5,6] => [1,1,1,0,0,1,0,0,1,0,1,0] => 5
[3,2,4,1,6,5] => [1,1,1,0,0,1,0,0,1,1,0,0] => 5
[3,2,4,5,1,6] => [1,1,1,0,0,1,0,1,0,0,1,0] => 14
[3,2,4,5,6,1] => [1,1,1,0,0,1,0,1,0,1,0,0] => 42
[3,2,4,6,1,5] => [1,1,1,0,0,1,0,1,1,0,0,0] => 42
[3,2,4,6,5,1] => [1,1,1,0,0,1,0,1,1,0,0,0] => 42
[3,2,5,1,4,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 14
[3,2,5,1,6,4] => [1,1,1,0,0,1,1,0,0,1,0,0] => 42
[3,2,5,4,1,6] => [1,1,1,0,0,1,1,0,0,0,1,0] => 14
[3,2,5,4,6,1] => [1,1,1,0,0,1,1,0,0,1,0,0] => 42
[3,2,5,6,1,4] => [1,1,1,0,0,1,1,0,1,0,0,0] => 65
[3,2,5,6,4,1] => [1,1,1,0,0,1,1,0,1,0,0,0] => 65
[3,2,6,1,4,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,2,6,1,5,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,2,6,4,1,5] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,2,6,4,5,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,2,6,5,1,4] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,2,6,5,4,1] => [1,1,1,0,0,1,1,1,0,0,0,0] => 65
[3,4,1,2,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 7
[3,4,1,2,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 7
[3,4,1,5,2,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 21
[3,4,1,5,6,2] => [1,1,1,0,1,0,0,1,0,1,0,0] => 65
[3,4,1,6,2,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 65
[3,4,1,6,5,2] => [1,1,1,0,1,0,0,1,1,0,0,0] => 65
[3,4,2,1,5,6] => [1,1,1,0,1,0,0,0,1,0,1,0] => 7
[3,4,2,1,6,5] => [1,1,1,0,1,0,0,0,1,1,0,0] => 7
[3,4,2,5,1,6] => [1,1,1,0,1,0,0,1,0,0,1,0] => 21
[3,4,2,5,6,1] => [1,1,1,0,1,0,0,1,0,1,0,0] => 65
[3,4,2,6,1,5] => [1,1,1,0,1,0,0,1,1,0,0,0] => 65
[3,4,2,6,5,1] => [1,1,1,0,1,0,0,1,1,0,0,0] => 65
[3,4,5,1,2,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 35
[3,4,5,1,6,2] => [1,1,1,0,1,0,1,0,0,1,0,0] => 119
[3,4,5,2,1,6] => [1,1,1,0,1,0,1,0,0,0,1,0] => 35
[3,4,5,2,6,1] => [1,1,1,0,1,0,1,0,0,1,0,0] => 119
[3,4,5,6,1,2] => [1,1,1,0,1,0,1,0,1,0,0,0] => 219
[3,4,5,6,2,1] => [1,1,1,0,1,0,1,0,1,0,0,0] => 219
[3,4,6,1,2,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => 219
[3,4,6,1,5,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 219
[3,4,6,2,1,5] => [1,1,1,0,1,0,1,1,0,0,0,0] => 219
[3,4,6,2,5,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 219
[3,4,6,5,1,2] => [1,1,1,0,1,0,1,1,0,0,0,0] => 219
[3,4,6,5,2,1] => [1,1,1,0,1,0,1,1,0,0,0,0] => 219
[3,5,1,2,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 35
[3,5,1,2,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0] => 119
[3,5,1,4,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 35
[3,5,1,4,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 119
[3,5,1,6,2,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 219
[3,5,1,6,4,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 219
[3,5,2,1,4,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 35
[3,5,2,1,6,4] => [1,1,1,0,1,1,0,0,0,1,0,0] => 119
[3,5,2,4,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 35
[3,5,2,4,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 119
[3,5,2,6,1,4] => [1,1,1,0,1,1,0,0,1,0,0,0] => 219
[3,5,2,6,4,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 219
[3,5,4,1,2,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 35
[3,5,4,1,6,2] => [1,1,1,0,1,1,0,0,0,1,0,0] => 119
[3,5,4,2,1,6] => [1,1,1,0,1,1,0,0,0,0,1,0] => 35
[3,5,4,2,6,1] => [1,1,1,0,1,1,0,0,0,1,0,0] => 119
[3,5,4,6,1,2] => [1,1,1,0,1,1,0,0,1,0,0,0] => 219
[3,5,4,6,2,1] => [1,1,1,0,1,1,0,0,1,0,0,0] => 219
[3,5,6,1,2,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => 282
[3,5,6,1,4,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 282
[3,5,6,2,1,4] => [1,1,1,0,1,1,0,1,0,0,0,0] => 282
[3,5,6,2,4,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 282
[3,5,6,4,1,2] => [1,1,1,0,1,1,0,1,0,0,0,0] => 282
[3,5,6,4,2,1] => [1,1,1,0,1,1,0,1,0,0,0,0] => 282
[3,6,1,2,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,1,2,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,1,4,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,1,4,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,1,5,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,1,5,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,2,1,4,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,2,1,5,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,2,4,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,2,4,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,2,5,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,2,5,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,4,1,2,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,4,1,5,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,4,2,1,5] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,4,2,5,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,4,5,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,4,5,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,5,1,2,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,5,1,4,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,5,2,1,4] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,5,2,4,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,5,4,1,2] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[3,6,5,4,2,1] => [1,1,1,0,1,1,1,0,0,0,0,0] => 282
[4,1,2,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 7
[4,1,2,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 7
[4,1,2,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 21
[4,1,2,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0] => 65
[4,1,2,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,1,2,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,1,3,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 7
[4,1,3,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 7
[4,1,3,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 21
[4,1,3,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0] => 65
[4,1,3,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,1,3,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,1,5,2,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 35
[4,1,5,2,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => 119
[4,1,5,3,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 35
[4,1,5,3,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0] => 119
[4,1,5,6,2,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => 219
[4,1,5,6,3,2] => [1,1,1,1,0,0,1,0,1,0,0,0] => 219
[4,1,6,2,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,1,6,2,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,1,6,3,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,1,6,3,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,1,6,5,2,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,1,6,5,3,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,2,1,3,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 7
[4,2,1,3,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 7
[4,2,1,5,3,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 21
[4,2,1,5,6,3] => [1,1,1,1,0,0,0,1,0,1,0,0] => 65
[4,2,1,6,3,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,2,1,6,5,3] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,2,3,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 7
[4,2,3,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 7
[4,2,3,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 21
[4,2,3,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 65
[4,2,3,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,2,3,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,2,5,1,3,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 35
[4,2,5,1,6,3] => [1,1,1,1,0,0,1,0,0,1,0,0] => 119
[4,2,5,3,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 35
[4,2,5,3,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 119
[4,2,5,6,1,3] => [1,1,1,1,0,0,1,0,1,0,0,0] => 219
[4,2,5,6,3,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 219
[4,2,6,1,3,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,2,6,1,5,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,2,6,3,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,2,6,3,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,2,6,5,1,3] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,2,6,5,3,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,3,1,2,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 7
[4,3,1,2,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 7
[4,3,1,5,2,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 21
[4,3,1,5,6,2] => [1,1,1,1,0,0,0,1,0,1,0,0] => 65
[4,3,1,6,2,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,3,1,6,5,2] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,3,2,1,5,6] => [1,1,1,1,0,0,0,0,1,0,1,0] => 7
[4,3,2,1,6,5] => [1,1,1,1,0,0,0,0,1,1,0,0] => 7
[4,3,2,5,1,6] => [1,1,1,1,0,0,0,1,0,0,1,0] => 21
[4,3,2,5,6,1] => [1,1,1,1,0,0,0,1,0,1,0,0] => 65
[4,3,2,6,1,5] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,3,2,6,5,1] => [1,1,1,1,0,0,0,1,1,0,0,0] => 65
[4,3,5,1,2,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 35
[4,3,5,1,6,2] => [1,1,1,1,0,0,1,0,0,1,0,0] => 119
[4,3,5,2,1,6] => [1,1,1,1,0,0,1,0,0,0,1,0] => 35
[4,3,5,2,6,1] => [1,1,1,1,0,0,1,0,0,1,0,0] => 119
[4,3,5,6,1,2] => [1,1,1,1,0,0,1,0,1,0,0,0] => 219
[4,3,5,6,2,1] => [1,1,1,1,0,0,1,0,1,0,0,0] => 219
[4,3,6,1,2,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,3,6,1,5,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,3,6,2,1,5] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,3,6,2,5,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,3,6,5,1,2] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,3,6,5,2,1] => [1,1,1,1,0,0,1,1,0,0,0,0] => 219
[4,5,1,2,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 42
[4,5,1,2,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0] => 147
[4,5,1,3,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 42
[4,5,1,3,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => 147
[4,5,1,6,2,3] => [1,1,1,1,0,1,0,0,1,0,0,0] => 282
[4,5,1,6,3,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => 282
[4,5,2,1,3,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 42
[4,5,2,1,6,3] => [1,1,1,1,0,1,0,0,0,1,0,0] => 147
[4,5,2,3,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 42
[4,5,2,3,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 147
[4,5,2,6,1,3] => [1,1,1,1,0,1,0,0,1,0,0,0] => 282
[4,5,2,6,3,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 282
[4,5,3,1,2,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 42
[4,5,3,1,6,2] => [1,1,1,1,0,1,0,0,0,1,0,0] => 147
[4,5,3,2,1,6] => [1,1,1,1,0,1,0,0,0,0,1,0] => 42
[4,5,3,2,6,1] => [1,1,1,1,0,1,0,0,0,1,0,0] => 147
[4,5,3,6,1,2] => [1,1,1,1,0,1,0,0,1,0,0,0] => 282
[4,5,3,6,2,1] => [1,1,1,1,0,1,0,0,1,0,0,0] => 282
[4,5,6,1,2,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => 387
[4,5,6,1,3,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => 387
[4,5,6,2,1,3] => [1,1,1,1,0,1,0,1,0,0,0,0] => 387
[4,5,6,2,3,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 387
[4,5,6,3,1,2] => [1,1,1,1,0,1,0,1,0,0,0,0] => 387
[4,5,6,3,2,1] => [1,1,1,1,0,1,0,1,0,0,0,0] => 387
[4,6,1,2,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,1,2,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,1,3,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,1,3,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,1,5,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,1,5,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,2,1,3,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,2,1,5,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,2,3,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,2,3,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,2,5,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,2,5,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,3,1,2,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,3,1,5,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,3,2,1,5] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,3,2,5,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,3,5,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,3,5,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,5,1,2,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,5,1,3,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,5,2,1,3] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,5,2,3,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,5,3,1,2] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[4,6,5,3,2,1] => [1,1,1,1,0,1,1,0,0,0,0,0] => 387
[5,1,2,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,1,2,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,1,2,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,1,2,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,1,2,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,1,2,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,1,3,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,1,3,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,1,3,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,1,3,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,1,3,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,1,3,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,1,4,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,1,4,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,1,4,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,1,4,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,1,4,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,1,4,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,1,6,2,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,1,6,2,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,1,6,3,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,1,6,3,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,1,6,4,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,1,6,4,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,2,1,3,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,2,1,3,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,2,1,4,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,2,1,4,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,2,1,6,3,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,2,1,6,4,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,2,3,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,2,3,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,2,3,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,2,3,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,2,3,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,2,3,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,2,4,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,2,4,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,2,4,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,2,4,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,2,4,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,2,4,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,2,6,1,3,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,2,6,1,4,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,2,6,3,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,2,6,3,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,2,6,4,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,2,6,4,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,3,1,2,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,3,1,2,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,3,1,4,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,3,1,4,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,3,1,6,2,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,3,1,6,4,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,3,2,1,4,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,3,2,1,6,4] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,3,2,4,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,3,2,4,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,3,2,6,1,4] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,3,2,6,4,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,3,4,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,3,4,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,3,4,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,3,4,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,3,4,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,3,4,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,3,6,1,2,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,3,6,1,4,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,3,6,2,1,4] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,3,6,2,4,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,3,6,4,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,3,6,4,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,4,1,2,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,4,1,2,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,4,1,3,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,4,1,3,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,4,1,6,2,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,4,1,6,3,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,4,2,1,3,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,4,2,1,6,3] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,4,2,3,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,4,2,3,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,4,2,6,1,3] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,4,2,6,3,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,4,3,1,2,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,4,3,1,6,2] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,4,3,2,1,6] => [1,1,1,1,1,0,0,0,0,0,1,0] => 42
[5,4,3,2,6,1] => [1,1,1,1,1,0,0,0,0,1,0,0] => 147
[5,4,3,6,1,2] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,4,3,6,2,1] => [1,1,1,1,1,0,0,0,1,0,0,0] => 282
[5,4,6,1,2,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,4,6,1,3,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,4,6,2,1,3] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,4,6,2,3,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,4,6,3,1,2] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,4,6,3,2,1] => [1,1,1,1,1,0,0,1,0,0,0,0] => 387
[5,6,1,2,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,1,2,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,1,3,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,1,3,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,1,4,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,1,4,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,2,1,3,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,2,1,4,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,2,3,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,2,3,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,2,4,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,2,4,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,3,1,2,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,3,1,4,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,3,2,1,4] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,3,2,4,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,3,4,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,3,4,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,4,1,2,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,4,1,3,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,4,2,1,3] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,4,2,3,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,4,3,1,2] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[5,6,4,3,2,1] => [1,1,1,1,1,0,1,0,0,0,0,0] => 429
[6,1,2,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,2,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,2,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,2,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,2,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,2,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,3,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,3,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,3,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,3,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,3,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,3,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,4,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,4,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,4,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,4,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,4,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,4,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,5,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,5,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,5,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,5,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,5,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,1,5,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,1,3,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,1,3,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,1,4,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,1,4,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,1,5,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,1,5,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,3,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,3,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,3,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,3,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,3,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,3,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,4,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,4,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,4,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,4,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,4,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,4,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,5,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,5,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,5,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,5,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,5,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,2,5,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,1,2,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,1,2,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,1,4,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,1,4,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,1,5,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,1,5,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,2,1,4,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,2,1,5,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,2,4,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,2,4,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,2,5,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,2,5,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,4,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,4,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,4,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,4,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,4,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,4,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,5,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,5,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,5,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,5,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,5,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,3,5,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,1,2,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,1,2,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,1,3,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,1,3,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,1,5,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,1,5,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,2,1,3,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,2,1,5,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,2,3,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,2,3,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,2,5,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,2,5,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,3,1,2,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,3,1,5,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,3,2,1,5] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,3,2,5,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,3,5,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,3,5,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,5,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,5,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,5,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,5,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,5,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,4,5,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,1,2,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,1,2,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,1,3,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,1,3,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,1,4,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,1,4,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,2,1,3,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,2,1,4,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,2,3,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,2,3,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,2,4,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,2,4,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,3,1,2,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,3,1,4,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,3,2,1,4] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,3,2,4,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,3,4,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,3,4,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,4,1,2,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,4,1,3,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,4,2,1,3] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,4,2,3,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,4,3,1,2] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
[6,5,4,3,2,1] => [1,1,1,1,1,1,0,0,0,0,0,0] => 429
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The number of alternating sign matrices for a given Dyck path.
The Dyck path is given by the last diagonal of the monotone triangle corresponding to an alternating sign matrix.
Map
left-to-right-maxima to Dyck path
Description
The left-to-right maxima of a permutation as a Dyck path.
Let $(c_1, \dots, c_k)$ be the rise composition Mp00102rise composition of the path. Then the corresponding left-to-right maxima are $c_1, c_1+c_2, \dots, c_1+\dots+c_k$.
Restricted to 321-avoiding permutations, this is the inverse of Mp00119to 321-avoiding permutation (Krattenthaler), restricted to 312-avoiding permutations, this is the inverse of Mp00031to 312-avoiding permutation.