Identifier
Values
[1,1,0,1,0,1,0,0] => [5,4,1,2,3] => [3,2] => [2] => 2
[1,0,1,1,0,1,0,1,0,0] => [6,1,5,2,3,4] => [4,2] => [2] => 2
[1,1,0,1,0,1,0,0,1,0] => [6,4,1,2,3,5] => [4,2] => [2] => 2
[1,1,0,1,0,1,0,1,0,0] => [5,6,1,2,3,4] => [3,3] => [3] => 3
[1,1,0,1,0,1,1,0,0,0] => [5,4,1,2,6,3] => [4,2] => [2] => 2
[1,1,0,1,1,0,1,0,0,0] => [6,4,1,5,2,3] => [3,3] => [3] => 3
[1,1,1,0,0,1,0,1,0,0] => [2,6,5,1,3,4] => [4,2] => [2] => 2
[1,1,1,0,1,0,0,1,0,0] => [6,3,5,1,2,4] => [3,3] => [3] => 3
[1,1,1,0,1,0,1,0,0,0] => [6,5,4,1,2,3] => [4,2] => [2] => 2
[1,0,1,0,1,1,0,1,0,1,0,0] => [7,1,2,6,3,4,5] => [5,2] => [2] => 2
[1,0,1,1,0,1,0,1,0,0,1,0] => [7,1,5,2,3,4,6] => [5,2] => [2] => 2
[1,0,1,1,0,1,0,1,0,1,0,0] => [6,1,7,2,3,4,5] => [4,3] => [3] => 3
[1,0,1,1,0,1,0,1,1,0,0,0] => [6,1,5,2,3,7,4] => [5,2] => [2] => 2
[1,0,1,1,0,1,1,0,1,0,0,0] => [7,1,5,2,6,3,4] => [4,3] => [3] => 3
[1,0,1,1,1,0,0,1,0,1,0,0] => [3,1,7,6,2,4,5] => [5,2] => [2] => 2
[1,0,1,1,1,0,1,0,0,1,0,0] => [7,1,4,6,2,3,5] => [4,3] => [3] => 3
[1,0,1,1,1,0,1,0,1,0,0,0] => [7,1,6,5,2,3,4] => [5,2] => [2] => 2
[1,1,0,0,1,1,0,1,0,1,0,0] => [2,7,1,6,3,4,5] => [5,2] => [2] => 2
[1,1,0,1,0,1,0,0,1,0,1,0] => [7,4,1,2,3,5,6] => [5,2] => [2] => 2
[1,1,0,1,0,1,0,0,1,1,0,0] => [6,4,1,2,3,7,5] => [5,2] => [2] => 2
[1,1,0,1,0,1,0,1,0,0,1,0] => [5,7,1,2,3,4,6] => [4,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,1,0,0] => [7,6,1,2,3,4,5] => [4,3] => [3] => 3
[1,1,0,1,0,1,0,1,1,0,0,0] => [5,6,1,2,3,7,4] => [4,3] => [3] => 3
[1,1,0,1,0,1,1,0,0,0,1,0] => [5,4,1,2,7,3,6] => [5,2] => [2] => 2
[1,1,0,1,0,1,1,0,0,1,0,0] => [7,4,1,2,6,3,5] => [5,2] => [2] => 2
[1,1,0,1,0,1,1,0,1,0,0,0] => [5,7,1,2,6,3,4] => [4,3] => [3] => 3
[1,1,0,1,0,1,1,1,0,0,0,0] => [5,4,1,2,6,7,3] => [5,2] => [2] => 2
[1,1,0,1,1,0,0,1,0,1,0,0] => [7,3,1,6,2,4,5] => [5,2] => [2] => 2
[1,1,0,1,1,0,1,0,0,0,1,0] => [7,4,1,5,2,3,6] => [4,3] => [3] => 3
[1,1,0,1,1,0,1,0,1,0,0,0] => [6,7,1,5,2,3,4] => [4,3] => [3] => 3
[1,1,0,1,1,0,1,1,0,0,0,0] => [6,4,1,5,2,7,3] => [4,3] => [3] => 3
[1,1,0,1,1,1,0,1,0,0,0,0] => [7,4,1,5,6,2,3] => [4,3] => [3] => 3
[1,1,1,0,0,1,0,1,0,0,1,0] => [2,7,5,1,3,4,6] => [5,2] => [2] => 2
[1,1,1,0,0,1,0,1,0,1,0,0] => [2,6,7,1,3,4,5] => [4,3] => [3] => 3
[1,1,1,0,0,1,0,1,1,0,0,0] => [2,6,5,1,3,7,4] => [5,2] => [2] => 2
[1,1,1,0,0,1,1,0,1,0,0,0] => [2,7,5,1,6,3,4] => [4,3] => [3] => 3
[1,1,1,0,1,0,0,1,0,0,1,0] => [7,3,5,1,2,4,6] => [4,3] => [3] => 3
[1,1,1,0,1,0,0,1,0,1,0,0] => [6,3,7,1,2,4,5] => [4,3] => [3] => 3
[1,1,1,0,1,0,0,1,1,0,0,0] => [6,3,5,1,2,7,4] => [4,3] => [3] => 3
[1,1,1,0,1,0,1,0,0,0,1,0] => [7,5,4,1,2,3,6] => [5,2] => [2] => 2
[1,1,1,0,1,0,1,0,0,1,0,0] => [6,7,4,1,2,3,5] => [4,3] => [3] => 3
[1,1,1,0,1,0,1,1,0,0,0,0] => [6,5,4,1,2,7,3] => [5,2] => [2] => 2
[1,1,1,0,1,1,0,0,1,0,0,0] => [7,3,5,1,6,2,4] => [4,3] => [3] => 3
[1,1,1,0,1,1,0,1,0,0,0,0] => [7,5,4,1,6,2,3] => [4,3] => [3] => 3
[1,1,1,1,0,0,0,1,0,1,0,0] => [2,3,7,6,1,4,5] => [5,2] => [2] => 2
[1,1,1,1,0,0,1,0,0,1,0,0] => [2,7,4,6,1,3,5] => [4,3] => [3] => 3
[1,1,1,1,0,0,1,0,1,0,0,0] => [2,7,6,5,1,3,4] => [5,2] => [2] => 2
[1,1,1,1,0,1,0,0,0,1,0,0] => [7,3,4,6,1,2,5] => [4,3] => [3] => 3
[1,1,1,1,0,1,0,0,1,0,0,0] => [7,3,6,5,1,2,4] => [4,3] => [3] => 3
[1,1,1,1,0,1,0,1,0,0,0,0] => [7,6,4,5,1,2,3] => [5,2] => [2] => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [8,1,2,3,7,4,5,6] => [6,2] => [2] => 2
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [8,1,2,6,3,4,5,7] => [6,2] => [2] => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [7,1,2,8,3,4,5,6] => [5,3] => [3] => 3
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] => [7,1,2,6,3,4,8,5] => [6,2] => [2] => 2
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] => [8,1,2,6,3,7,4,5] => [5,3] => [3] => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [4,1,2,8,7,3,5,6] => [6,2] => [2] => 2
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [8,1,2,5,7,3,4,6] => [5,3] => [3] => 3
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] => [8,1,2,7,6,3,4,5] => [6,2] => [2] => 2
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [3,1,8,2,7,4,5,6] => [6,2] => [2] => 2
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] => [8,1,5,2,3,4,6,7] => [6,2] => [2] => 2
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] => [7,1,5,2,3,4,8,6] => [6,2] => [2] => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] => [6,1,8,2,3,4,5,7] => [4,4] => [4] => 4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [8,1,7,2,3,4,5,6] => [5,3] => [3] => 3
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [6,1,7,2,3,4,8,5] => [4,4] => [4] => 4
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] => [6,1,5,2,3,8,4,7] => [6,2] => [2] => 2
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] => [8,1,5,2,3,7,4,6] => [6,2] => [2] => 2
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] => [6,1,8,2,3,7,4,5] => [5,3] => [3] => 3
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] => [6,1,5,2,3,7,8,4] => [6,2] => [2] => 2
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] => [8,1,4,2,7,3,5,6] => [6,2] => [2] => 2
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] => [8,1,5,2,6,3,4,7] => [5,3] => [3] => 3
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] => [7,1,8,2,6,3,4,5] => [4,4] => [4] => 4
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] => [7,1,5,2,6,3,8,4] => [5,3] => [3] => 3
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] => [8,1,5,2,6,7,3,4] => [4,4] => [4] => 4
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] => [3,1,8,6,2,4,5,7] => [6,2] => [2] => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [3,1,7,8,2,4,5,6] => [5,3] => [3] => 3
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] => [3,1,7,6,2,4,8,5] => [6,2] => [2] => 2
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] => [3,1,8,6,2,7,4,5] => [5,3] => [3] => 3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] => [8,1,4,6,2,3,5,7] => [5,3] => [3] => 3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [7,1,4,8,2,3,5,6] => [4,4] => [4] => 4
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] => [7,1,4,6,2,3,8,5] => [5,3] => [3] => 3
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] => [8,1,6,5,2,3,4,7] => [6,2] => [2] => 2
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [7,1,8,5,2,3,4,6] => [5,3] => [3] => 3
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] => [7,1,6,5,2,3,8,4] => [6,2] => [2] => 2
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] => [8,1,4,6,2,7,3,5] => [4,4] => [4] => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] => [8,1,6,5,2,7,3,4] => [5,3] => [3] => 3
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [3,1,4,8,7,2,5,6] => [6,2] => [2] => 2
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] => [3,1,8,5,7,2,4,6] => [5,3] => [3] => 3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] => [3,1,8,7,6,2,4,5] => [6,2] => [2] => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] => [8,1,4,5,7,2,3,6] => [4,4] => [4] => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] => [8,1,4,7,6,2,3,5] => [5,3] => [3] => 3
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [8,1,7,5,6,2,3,4] => [6,2] => [2] => 2
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [2,8,1,3,7,4,5,6] => [6,2] => [2] => 2
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [2,8,1,6,3,4,5,7] => [6,2] => [2] => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [2,7,1,8,3,4,5,6] => [5,3] => [3] => 3
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [2,7,1,6,3,4,8,5] => [6,2] => [2] => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [2,4,1,8,7,3,5,6] => [6,2] => [2] => 2
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [2,8,1,5,7,3,4,6] => [5,3] => [3] => 3
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [2,8,1,7,6,3,4,5] => [6,2] => [2] => 2
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] => [8,3,1,2,7,4,5,6] => [6,2] => [2] => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] => [8,4,1,2,3,5,6,7] => [6,2] => [2] => 2
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] => [7,4,1,2,3,5,8,6] => [6,2] => [2] => 2
>>> Load all 391 entries. <<<
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] => [6,4,1,2,3,8,5,7] => [6,2] => [2] => 2
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] => [8,4,1,2,3,7,5,6] => [6,2] => [2] => 2
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] => [6,4,1,2,3,7,8,5] => [6,2] => [2] => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] => [5,8,1,2,3,4,6,7] => [5,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] => [5,7,1,2,3,4,8,6] => [5,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] => [8,6,1,2,3,4,5,7] => [5,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [7,6,1,2,3,4,8,5] => [5,3] => [3] => 3
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] => [5,6,1,2,3,8,4,7] => [5,3] => [3] => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] => [5,8,1,2,3,7,4,6] => [5,3] => [3] => 3
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] => [8,6,1,2,3,7,4,5] => [4,4] => [4] => 4
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] => [5,6,1,2,3,7,8,4] => [5,3] => [3] => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] => [5,4,1,2,8,3,6,7] => [6,2] => [2] => 2
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] => [5,4,1,2,7,3,8,6] => [6,2] => [2] => 2
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] => [8,4,1,2,6,3,5,7] => [6,2] => [2] => 2
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] => [8,4,1,2,7,3,5,6] => [4,2,2] => [2,2] => -2
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] => [7,4,1,2,6,3,8,5] => [6,2] => [2] => 2
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] => [5,8,1,2,6,3,4,7] => [4,4] => [4] => 4
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] => [8,7,1,2,6,3,4,5] => [5,3] => [3] => 3
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] => [5,7,1,2,6,3,8,4] => [4,4] => [4] => 4
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] => [5,4,1,2,6,8,3,7] => [6,2] => [2] => 2
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] => [5,4,1,2,8,7,3,6] => [6,2] => [2] => 2
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] => [8,4,1,2,6,7,3,5] => [6,2] => [2] => 2
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] => [5,8,1,2,6,7,3,4] => [5,3] => [3] => 3
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] => [5,4,1,2,6,7,8,3] => [6,2] => [2] => 2
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] => [8,3,1,6,2,4,5,7] => [6,2] => [2] => 2
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] => [7,3,1,8,2,4,5,6] => [5,3] => [3] => 3
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] => [7,3,1,6,2,4,8,5] => [6,2] => [2] => 2
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] => [8,3,1,6,2,7,4,5] => [5,3] => [3] => 3
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] => [8,4,1,5,2,3,6,7] => [5,3] => [3] => 3
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] => [7,4,1,5,2,3,8,6] => [5,3] => [3] => 3
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] => [6,8,1,5,2,3,4,7] => [5,3] => [3] => 3
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] => [8,7,1,5,2,3,4,6] => [4,4] => [4] => 4
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] => [6,7,1,5,2,3,8,4] => [5,3] => [3] => 3
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] => [6,4,1,5,2,8,3,7] => [5,3] => [3] => 3
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] => [8,4,1,5,2,7,3,6] => [5,3] => [3] => 3
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] => [6,8,1,5,2,7,3,4] => [4,4] => [4] => 4
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] => [6,4,1,5,2,7,8,3] => [5,3] => [3] => 3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] => [4,3,1,8,7,2,5,6] => [6,2] => [2] => 2
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] => [8,3,1,5,7,2,4,6] => [5,3] => [3] => 3
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] => [8,3,1,7,6,2,4,5] => [6,2] => [2] => 2
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] => [8,4,1,5,6,2,3,7] => [4,4] => [4] => 4
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] => [7,8,1,5,6,2,3,4] => [5,3] => [3] => 3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] => [7,4,1,5,6,2,8,3] => [4,4] => [4] => 4
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] => [8,4,1,5,6,7,2,3] => [5,3] => [3] => 3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [2,3,8,1,7,4,5,6] => [6,2] => [2] => 2
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [2,8,5,1,3,4,6,7] => [6,2] => [2] => 2
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [2,7,5,1,3,4,8,6] => [6,2] => [2] => 2
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [2,6,8,1,3,4,5,7] => [4,4] => [4] => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [2,8,7,1,3,4,5,6] => [5,3] => [3] => 3
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] => [2,6,7,1,3,4,8,5] => [4,4] => [4] => 4
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [2,6,5,1,3,8,4,7] => [6,2] => [2] => 2
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] => [2,8,5,1,3,7,4,6] => [6,2] => [2] => 2
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] => [2,6,8,1,3,7,4,5] => [5,3] => [3] => 3
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] => [2,6,5,1,3,7,8,4] => [6,2] => [2] => 2
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] => [2,8,4,1,7,3,5,6] => [6,2] => [2] => 2
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [2,8,5,1,6,3,4,7] => [5,3] => [3] => 3
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] => [2,7,8,1,6,3,4,5] => [4,4] => [4] => 4
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] => [2,7,5,1,6,3,8,4] => [5,3] => [3] => 3
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] => [2,8,5,1,6,7,3,4] => [4,4] => [4] => 4
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] => [8,3,5,1,2,4,6,7] => [5,3] => [3] => 3
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] => [7,3,5,1,2,4,8,6] => [5,3] => [3] => 3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [6,3,8,1,2,4,5,7] => [5,3] => [3] => 3
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [8,3,7,1,2,4,5,6] => [4,4] => [4] => 4
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] => [6,3,7,1,2,4,8,5] => [5,3] => [3] => 3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] => [6,3,5,1,2,8,4,7] => [5,3] => [3] => 3
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] => [8,3,5,1,2,7,4,6] => [5,3] => [3] => 3
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] => [6,3,8,1,2,7,4,5] => [4,4] => [4] => 4
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] => [6,3,5,1,2,7,8,4] => [5,3] => [3] => 3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [8,5,4,1,2,3,6,7] => [6,2] => [2] => 2
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] => [7,5,4,1,2,3,8,6] => [6,2] => [2] => 2
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] => [6,8,4,1,2,3,5,7] => [4,4] => [4] => 4
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [8,7,4,1,2,3,5,6] => [5,3] => [3] => 3
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] => [6,7,4,1,2,3,8,5] => [4,4] => [4] => 4
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] => [6,5,4,1,2,8,3,7] => [6,2] => [2] => 2
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] => [8,5,4,1,2,7,3,6] => [6,2] => [2] => 2
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] => [6,8,4,1,2,7,3,5] => [5,3] => [3] => 3
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] => [6,5,4,1,2,7,8,3] => [6,2] => [2] => 2
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] => [8,3,4,1,7,2,5,6] => [6,2] => [2] => 2
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] => [8,3,5,1,6,2,4,7] => [4,4] => [4] => 4
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] => [7,3,8,1,6,2,4,5] => [5,3] => [3] => 3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] => [7,3,5,1,6,2,8,4] => [4,4] => [4] => 4
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] => [8,5,4,1,6,2,3,7] => [5,3] => [3] => 3
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] => [7,8,4,1,6,2,3,5] => [4,4] => [4] => 4
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] => [7,5,4,1,6,2,8,3] => [5,3] => [3] => 3
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] => [8,3,5,1,6,7,2,4] => [5,3] => [3] => 3
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] => [8,5,4,1,6,7,2,3] => [4,4] => [4] => 4
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [2,3,8,6,1,4,5,7] => [6,2] => [2] => 2
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [2,3,7,8,1,4,5,6] => [5,3] => [3] => 3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] => [2,3,7,6,1,4,8,5] => [6,2] => [2] => 2
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] => [2,3,8,6,1,7,4,5] => [5,3] => [3] => 3
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] => [2,8,4,6,1,3,5,7] => [5,3] => [3] => 3
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] => [2,7,4,8,1,3,5,6] => [4,4] => [4] => 4
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] => [2,7,4,6,1,3,8,5] => [5,3] => [3] => 3
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] => [2,8,6,5,1,3,4,7] => [6,2] => [2] => 2
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] => [2,7,8,5,1,3,4,6] => [5,3] => [3] => 3
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] => [2,7,6,5,1,3,8,4] => [6,2] => [2] => 2
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] => [2,8,4,6,1,7,3,5] => [4,4] => [4] => 4
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] => [2,8,6,5,1,7,3,4] => [5,3] => [3] => 3
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] => [8,3,4,6,1,2,5,7] => [4,4] => [4] => 4
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] => [7,3,4,8,1,2,5,6] => [5,3] => [3] => 3
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] => [7,3,4,6,1,2,8,5] => [4,4] => [4] => 4
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] => [8,3,6,5,1,2,4,7] => [5,3] => [3] => 3
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] => [7,3,8,5,1,2,4,6] => [4,4] => [4] => 4
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] => [7,3,6,5,1,2,8,4] => [5,3] => [3] => 3
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] => [8,6,4,5,1,2,3,7] => [6,2] => [2] => 2
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [7,8,4,5,1,2,3,6] => [5,3] => [3] => 3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] => [7,6,4,5,1,2,8,3] => [6,2] => [2] => 2
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] => [8,3,4,6,1,7,2,5] => [5,3] => [3] => 3
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] => [8,3,6,5,1,7,2,4] => [4,4] => [4] => 4
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] => [8,6,4,5,1,7,2,3] => [5,3] => [3] => 3
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] => [2,3,4,8,7,1,5,6] => [6,2] => [2] => 2
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] => [2,3,8,5,7,1,4,6] => [5,3] => [3] => 3
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [2,3,8,7,6,1,4,5] => [6,2] => [2] => 2
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] => [2,8,4,5,7,1,3,6] => [4,4] => [4] => 4
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] => [2,8,4,7,6,1,3,5] => [5,3] => [3] => 3
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [2,8,7,5,6,1,3,4] => [6,2] => [2] => 2
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] => [8,3,4,5,7,1,2,6] => [5,3] => [3] => 3
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] => [8,3,4,7,6,1,2,5] => [4,4] => [4] => 4
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [8,3,7,5,6,1,2,4] => [5,3] => [3] => 3
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [8,7,4,5,6,1,2,3] => [6,2] => [2] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [9,1,2,3,4,8,5,6,7] => [7,2] => [2] => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [8,1,2,3,9,4,5,6,7] => [6,3] => [3] => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [5,1,2,3,9,8,4,6,7] => [7,2] => [2] => 2
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => [9,1,2,3,6,8,4,5,7] => [6,3] => [3] => 3
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => [4,1,2,9,3,8,5,6,7] => [7,2] => [2] => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [9,1,2,8,3,4,5,6,7] => [6,3] => [3] => 3
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => [7,1,2,8,3,4,5,9,6] => [5,4] => [4] => 4
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [4,1,2,8,9,3,5,6,7] => [6,3] => [3] => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => [8,1,2,5,9,3,4,6,7] => [5,4] => [4] => 4
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => [8,1,2,9,6,3,4,5,7] => [6,3] => [3] => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => [4,1,2,5,9,8,3,6,7] => [7,2] => [2] => 2
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => [9,1,2,8,6,7,3,4,5] => [7,2] => [2] => 2
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => [8,1,7,2,3,4,5,9,6] => [6,3] => [3] => 3
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [3,1,9,8,2,4,5,6,7] => [6,3] => [3] => 3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => [7,1,4,9,2,3,5,6,8] => [5,4] => [4] => 4
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => [9,1,4,8,2,3,5,6,7] => [5,4] => [4] => 4
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => [9,1,6,5,2,3,4,7,8] => [7,2] => [2] => 2
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => [3,1,4,8,9,2,5,6,7] => [6,3] => [3] => 3
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => [8,1,9,5,6,2,3,4,7] => [6,3] => [3] => 3
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => [3,1,4,9,8,7,2,5,6] => [7,2] => [2] => 2
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => [3,1,9,8,6,7,2,4,5] => [7,2] => [2] => 2
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => [9,1,4,8,6,7,2,3,5] => [6,3] => [3] => 3
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => [9,1,8,5,6,7,2,3,4] => [7,2] => [2] => 2
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => [2,9,1,3,4,8,5,6,7] => [7,2] => [2] => 2
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => [2,8,1,3,9,4,5,6,7] => [6,3] => [3] => 3
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => [2,9,1,3,8,7,4,5,6] => [7,2] => [2] => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => [2,9,1,8,3,4,5,6,7] => [6,3] => [3] => 3
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => [2,7,1,6,3,4,8,9,5] => [7,2] => [2] => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => [2,4,1,8,9,3,5,6,7] => [6,3] => [3] => 3
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [2,9,1,8,6,7,3,4,5] => [7,2] => [2] => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [9,4,1,2,3,5,6,7,8] => [7,2] => [2] => 2
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] => [7,4,1,2,3,5,8,9,6] => [7,2] => [2] => 2
[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [6,4,1,2,3,7,8,9,5] => [7,2] => [2] => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] => [5,9,1,2,3,4,6,7,8] => [6,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] => [5,8,1,2,3,4,6,9,7] => [6,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [5,7,1,2,3,4,8,9,6] => [6,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] => [9,6,1,2,3,4,5,7,8] => [6,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] => [8,6,1,2,3,4,5,9,7] => [6,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] => [9,6,1,2,3,4,8,5,7] => [6,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0] => [7,6,1,2,3,4,8,9,5] => [6,3] => [3] => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [5,9,1,2,3,8,4,6,7] => [4,3,2] => [3,2] => 0
[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0] => [8,6,1,2,3,7,4,9,5] => [5,4] => [4] => 4
[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0] => [9,6,1,2,3,7,8,4,5] => [5,4] => [4] => 4
[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0] => [5,6,1,2,3,7,8,9,4] => [6,3] => [3] => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0] => [5,4,1,2,9,3,6,7,8] => [7,2] => [2] => 2
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] => [8,4,1,2,9,3,5,6,7] => [4,3,2] => [3,2] => 0
[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0] => [9,7,1,2,6,3,8,4,5] => [5,4] => [4] => 4
[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0] => [9,8,1,2,6,7,3,4,5] => [6,3] => [3] => 3
[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0] => [5,4,1,2,6,7,9,3,8] => [7,2] => [2] => 2
[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0] => [5,4,1,2,6,7,8,9,3] => [7,2] => [2] => 2
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [9,3,1,8,2,4,5,6,7] => [6,3] => [3] => 3
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] => [6,9,1,5,2,3,4,7,8] => [6,3] => [3] => 3
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] => [9,4,1,6,2,8,3,5,7] => [5,4] => [4] => 4
[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0] => [4,3,1,5,9,8,2,6,7] => [7,2] => [2] => 2
[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0] => [8,9,1,5,6,7,2,3,4] => [6,3] => [3] => 3
[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0] => [9,4,1,5,6,7,8,2,3] => [6,3] => [3] => 3
[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0] => [2,3,9,1,8,7,4,5,6] => [7,2] => [2] => 2
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] => [2,9,5,1,3,4,6,7,8] => [7,2] => [2] => 2
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] => [2,6,9,1,3,4,5,7,8] => [5,4] => [4] => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] => [2,9,7,1,3,4,5,6,8] => [6,3] => [3] => 3
[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0] => [2,8,4,1,9,3,5,6,7] => [6,3] => [3] => 3
[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0] => [2,9,5,1,6,7,8,3,4] => [5,4] => [4] => 4
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] => [9,3,7,1,2,4,5,6,8] => [5,4] => [4] => 4
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] => [9,5,4,1,2,3,6,7,8] => [7,2] => [2] => 2
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] => [8,5,4,1,2,3,6,9,7] => [7,2] => [2] => 2
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] => [6,9,4,1,2,3,5,7,8] => [5,4] => [4] => 4
[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0] => [6,8,4,1,2,3,5,9,7] => [5,4] => [4] => 4
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] => [9,7,4,1,2,3,5,6,8] => [6,3] => [3] => 3
[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0] => [6,5,4,1,2,8,3,9,7] => [7,2] => [2] => 2
[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0] => [9,8,5,1,7,2,3,4,6] => [6,3] => [3] => 3
[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0] => [9,3,4,1,8,7,2,5,6] => [7,2] => [2] => 2
[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0] => [8,5,4,1,6,7,2,9,3] => [5,4] => [4] => 4
[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0] => [9,3,5,1,6,7,8,2,4] => [6,3] => [3] => 3
[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0] => [9,5,4,1,6,7,8,2,3] => [5,4] => [4] => 4
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] => [2,3,9,6,1,4,5,7,8] => [7,2] => [2] => 2
[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0] => [2,3,7,9,1,4,5,6,8] => [5,4] => [4] => 4
[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0] => [2,3,9,8,1,4,5,6,7] => [6,3] => [3] => 3
[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0] => [2,3,9,6,1,7,8,4,5] => [5,4] => [4] => 4
[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0] => [2,9,6,5,1,7,8,3,4] => [5,4] => [4] => 4
[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0] => [9,3,4,8,1,2,5,6,7] => [5,4] => [4] => 4
[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0] => [9,8,4,5,1,2,3,6,7] => [6,3] => [3] => 3
[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [7,8,9,6,1,2,3,4,5] => [5,4] => [4] => 4
[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0] => [8,3,6,5,1,7,2,9,4] => [5,4] => [4] => 4
[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0] => [8,6,4,5,1,7,2,9,3] => [6,3] => [3] => 3
[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0] => [9,3,4,6,1,7,8,2,5] => [6,3] => [3] => 3
[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0] => [2,3,4,9,7,1,5,6,8] => [7,2] => [2] => 2
[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0] => [2,3,4,9,7,1,8,5,6] => [6,3] => [3] => 3
[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0] => [2,9,7,5,6,1,8,3,4] => [6,3] => [3] => 3
[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0] => [8,3,4,7,6,1,2,9,5] => [5,4] => [4] => 4
[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0] => [8,3,7,5,6,1,2,9,4] => [6,3] => [3] => 3
[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0] => [9,7,4,5,6,1,2,3,8] => [7,2] => [2] => 2
[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0] => [8,9,4,5,6,1,2,3,7] => [6,3] => [3] => 3
[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0] => [8,7,4,5,6,1,2,9,3] => [7,2] => [2] => 2
[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0] => [9,3,7,5,6,1,8,2,4] => [5,4] => [4] => 4
[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0] => [2,3,4,5,9,8,1,6,7] => [7,2] => [2] => 2
[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0] => [2,3,9,5,6,8,1,4,7] => [5,4] => [4] => 4
[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0] => [2,9,4,5,6,8,1,3,7] => [5,4] => [4] => 4
[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0] => [2,9,4,5,8,7,1,3,6] => [5,4] => [4] => 4
[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0] => [2,9,4,8,6,7,1,3,5] => [6,3] => [3] => 3
[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [2,9,8,5,6,7,1,3,4] => [7,2] => [2] => 2
[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0] => [9,3,4,5,6,8,1,2,7] => [6,3] => [3] => 3
[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [9,8,4,5,6,7,1,2,3] => [7,2] => [2] => 2
[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0] => [10,1,9,5,6,7,8,2,3,4] => [8,2] => [2] => 2
[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [11,1,10,5,6,7,8,9,2,3,4] => [9,2] => [2] => 2
[1,0,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0] => [3,1,10,9,6,7,8,2,4,5] => [8,2] => [2] => 2
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] => [10,6,1,2,3,4,9,5,7,8] => [5,3,2] => [3,2] => 0
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] => [10,7,1,2,3,4,9,5,6,8] => [5,5] => [5] => 5
[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0] => [7,6,1,2,3,4,10,9,5,8] => [7,3] => [3] => 3
[1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [10,9,1,2,8,7,3,4,5,6] => [5,5] => [5] => 5
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10,8,1,9,2,3,4,5,6,7] => [7,3] => [3] => 3
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [9,8,1,10,7,2,3,4,5,6] => [5,5] => [5] => 5
[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0] => [10,4,1,5,6,7,8,9,2,3] => [7,3] => [3] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [10,7,9,1,2,3,4,5,6,8] => [7,3] => [3] => 3
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10,9,8,1,2,3,4,5,6,7] => [6,4] => [4] => 4
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [7,8,9,10,1,2,3,4,5,6] => [5,5] => [5] => 5
[1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [7,8,9,6,1,2,3,4,10,5] => [6,4] => [4] => 4
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0] => [2,8,9,10,7,1,3,4,5,6] => [6,4] => [4] => 4
[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0] => [9,7,4,5,6,1,8,2,10,3] => [7,3] => [3] => 3
[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0] => [10,3,4,7,6,1,8,9,2,5] => [6,4] => [4] => 4
[1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0] => [2,10,8,5,6,7,1,9,3,4] => [7,3] => [3] => 3
[1,1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0] => [9,3,8,5,6,7,1,2,10,4] => [7,3] => [3] => 3
[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0] => [9,8,4,5,6,7,1,2,10,3] => [8,2] => [2] => 2
[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0] => [10,3,8,5,6,7,1,9,2,4] => [6,4] => [4] => 4
[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0] => [2,10,4,5,6,7,9,1,3,8] => [6,4] => [4] => 4
[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0] => [2,10,4,9,6,7,8,1,3,5] => [7,3] => [3] => 3
[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0] => [2,10,9,5,6,7,8,1,3,4] => [8,2] => [2] => 2
[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0] => [10,3,4,5,6,7,9,1,2,8] => [7,3] => [3] => 3
[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0] => [10,9,4,5,6,7,8,1,2,3] => [8,2] => [2] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [10,1,2,3,4,5,9,6,7,8] => [8,2] => [2] => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [9,1,2,3,4,10,5,6,7,8] => [7,3] => [3] => 3
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [10,1,2,3,9,4,5,6,7,8] => [7,3] => [3] => 3
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => [11,1,2,3,4,5,6,10,7,8,9] => [9,2] => [2] => 2
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => [6,1,2,3,4,10,9,5,7,8] => [8,2] => [2] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => [10,1,2,3,4,5,11,6,7,8,9] => [8,3] => [3] => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => [5,1,2,3,9,10,4,6,7,8] => [7,3] => [3] => 3
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => [11,1,2,3,4,10,5,6,7,8,9] => [8,3] => [3] => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => [4,1,2,10,9,3,5,6,7,8] => [7,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [11,10,1,2,3,4,5,6,7,8,9] => [6,5] => [5] => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] => [11,12,1,2,3,4,5,6,7,8,9,10] => [6,6] => [6] => 6
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => [10,1,2,9,6,3,4,5,7,8] => [7,3] => [3] => 3
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [11,10,5,1,2,3,4,6,7,8,9] => [6,5] => [5] => 5
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8,1,9,10,7,2,3,4,5,6] => [6,4] => [4] => 4
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [11,1,10,9,2,3,4,5,6,7,8] => [6,5] => [5] => 5
[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0] => [10,11,8,1,2,3,4,5,6,7,9] => [7,4] => [4] => 4
[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [8,1,9,10,11,2,3,4,5,6,7] => [6,5] => [5] => 5
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [5,10,1,2,3,4,6,7,8,9] => [7,3] => [3] => 3
[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0] => [8,9,10,7,6,1,2,3,4,11,5] => [7,4] => [4] => 4
[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0] => [2,9,10,11,8,7,1,3,4,5,6] => [7,4] => [4] => 4
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0] => [7,8,9,10,1,2,3,4,5,11,6] => [6,5] => [5] => 5
[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [2,8,9,10,11,1,3,4,5,6,7] => [6,5] => [5] => 5
[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0] => [10,9,4,5,6,7,8,1,2,11,3] => [9,2] => [2] => 2
[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0] => [2,11,10,5,6,7,8,9,1,3,4] => [9,2] => [2] => 2
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0] => [10,5,4,1,2,3,6,7,8,9] => [8,2] => [2] => 2
[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0] => [11,3,4,5,6,7,8,10,1,2,9] => [8,3] => [3] => 3
[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0] => [10,11,1,9,2,3,4,5,6,7,8] => [7,4] => [4] => 4
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] => [10,1,5,2,3,4,6,7,8,9] => [8,2] => [2] => 2
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => [11,1,2,3,4,5,9,6,7,8,10] => [9,2] => [2] => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] => [5,9,1,2,3,4,6,7,10,8] => [7,3] => [3] => 3
[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] => [5,11,1,2,10,3,4,6,7,8,9] => [6,5] => [5] => 5
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] => [5,11,1,2,3,10,4,6,7,8,9] => [5,3,3] => [3,3] => -3
[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0] => [9,1,10,11,8,7,2,3,4,5,6] => [7,4] => [4] => 4
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0] => [8,6,1,2,3,4,5,9,10,7] => [7,3] => [3] => 3
[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0] => [5,7,1,2,3,4,8,9,10,6] => [7,3] => [3] => 3
[1,1,0,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0] => [10,4,1,2,3,7,8,9,5,6] => [8,2] => [2] => 2
[1,1,0,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => [10,3,1,2,9,7,8,4,5,6] => [8,2] => [2] => 2
[1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0] => [10,11,1,2,3,9,8,4,5,6,7] => [6,5] => [5] => 5
[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [9,8,1,10,11,2,3,4,5,6,7] => [6,5] => [5] => 5
[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0] => [11,8,9,10,1,2,3,4,5,6,7] => [6,5] => [5] => 5
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [4,1,2,10,3,5,9,6,7,8] => [8,2] => [2] => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] => [6,1,10,2,3,4,5,9,7,8] => [6,4] => [4] => 4
search for individual values
searching the database for the individual values of this statistic
Description
The weight of a partition according to Alladi.
Map
cycle type
Description
The cycle type of a permutation as a partition.
Map
first row removal
Description
Removes the first entry of an integer partition
Map
Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.