Identifier
Values
[1] => [1] => [1,0,1,0] => [2,1] => 0
[2] => [1,1] => [1,0,1,1,0,0] => [2,1,3] => 0
[1,1] => [2] => [1,1,0,0,1,0] => [1,3,2] => 0
[3] => [1,1,1] => [1,0,1,1,1,0,0,0] => [2,1,3,4] => 0
[2,1] => [3] => [1,1,1,0,0,0,1,0] => [1,2,4,3] => 0
[1,1,1] => [2,1] => [1,0,1,0,1,0] => [2,3,1] => 0
[4] => [1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => [2,1,3,4,5] => 0
[3,1] => [2,1,1] => [1,0,1,1,0,1,0,0] => [2,4,1,3] => 0
[2,2] => [4] => [1,1,1,1,0,0,0,0,1,0] => [1,2,3,5,4] => 0
[2,1,1] => [2,2] => [1,1,0,0,1,1,0,0] => [1,3,2,4] => 0
[1,1,1,1] => [3,1] => [1,1,0,1,0,0,1,0] => [3,1,4,2] => 0
[5] => [1,1,1,1,1] => [1,0,1,1,1,1,1,0,0,0,0,0] => [2,1,3,4,5,6] => 0
[4,1] => [2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => [2,5,1,3,4] => 0
[3,2] => [5] => [1,1,1,1,1,0,0,0,0,0,1,0] => [1,2,3,4,6,5] => 0
[3,1,1] => [4,1] => [1,1,1,0,1,0,0,0,1,0] => [4,1,2,5,3] => 0
[2,2,1] => [2,2,1] => [1,0,1,0,1,1,0,0] => [2,3,1,4] => 0
[2,1,1,1] => [3,1,1] => [1,0,1,1,0,0,1,0] => [2,1,4,3] => 0
[1,1,1,1,1] => [3,2] => [1,1,0,0,1,0,1,0] => [1,3,4,2] => 0
[5,1] => [2,1,1,1,1] => [1,0,1,1,1,1,0,1,0,0,0,0] => [2,6,1,3,4,5] => 0
[4,2] => [2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => [2,4,1,3,5] => 0
[4,1,1] => [3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => [2,1,5,3,4] => 0
[3,3] => [6] => [1,1,1,1,1,1,0,0,0,0,0,0,1,0] => [1,2,3,4,5,7,6] => 0
[3,2,1] => [5,1] => [1,1,1,1,0,1,0,0,0,0,1,0] => [5,1,2,3,6,4] => 0
[3,1,1,1] => [3,3] => [1,1,1,0,0,0,1,1,0,0] => [1,2,4,3,5] => 0
[2,2,2] => [2,2,2] => [1,1,0,0,1,1,1,0,0,0] => [1,3,2,4,5] => 0
[2,2,1,1] => [4,1,1] => [1,1,0,1,1,0,0,0,1,0] => [3,1,2,5,4] => 0
[2,1,1,1,1] => [4,2] => [1,1,1,0,0,1,0,0,1,0] => [1,4,2,5,3] => 0
[1,1,1,1,1,1] => [3,2,1] => [1,0,1,0,1,0,1,0] => [2,3,4,1] => 0
[5,2] => [2,2,1,1,1] => [1,0,1,1,1,0,1,1,0,0,0,0] => [2,5,1,3,4,6] => 0
[5,1,1] => [3,1,1,1,1] => [1,0,1,1,1,1,0,0,1,0,0,0] => [2,1,6,3,4,5] => 0
[4,2,1] => [5,1,1] => [1,1,1,0,1,1,0,0,0,0,1,0] => [4,1,2,3,6,5] => 0
[4,1,1,1] => [3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => [2,4,5,1,3] => 0
[3,2,2] => [2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => [2,3,1,4,5] => 0
[3,2,1,1] => [5,2] => [1,1,1,1,0,0,1,0,0,0,1,0] => [1,5,2,3,6,4] => 0
[3,1,1,1,1] => [3,2,2] => [1,1,0,0,1,1,0,1,0,0] => [1,3,5,2,4] => 0
[2,2,2,1] => [4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => [2,1,3,5,4] => 0
[2,2,1,1,1] => [4,3] => [1,1,1,0,0,0,1,0,1,0] => [1,2,4,5,3] => 0
[2,1,1,1,1,1] => [3,3,1] => [1,1,0,1,0,0,1,1,0,0] => [3,1,4,2,5] => 0
[1,1,1,1,1,1,1] => [4,2,1] => [1,1,0,1,0,1,0,0,1,0] => [3,4,1,5,2] => 0
[5,3] => [2,2,2,1,1] => [1,0,1,1,0,1,1,1,0,0,0,0] => [2,4,1,3,5,6] => 0
[5,2,1] => [4,1,1,1,1] => [1,0,1,1,1,1,0,0,0,1,0,0] => [2,1,3,6,4,5] => 0
[5,1,1,1] => [3,2,1,1,1] => [1,0,1,1,1,0,1,0,1,0,0,0] => [2,5,6,1,3,4] => 0
[4,2,1,1] => [4,4] => [1,1,1,1,0,0,0,0,1,1,0,0] => [1,2,3,5,4,6] => 0
[4,1,1,1,1] => [5,2,1] => [1,1,1,0,1,0,1,0,0,0,1,0] => [4,5,1,2,6,3] => 0
[3,3,2] => [2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0] => [1,3,2,4,5,6] => 0
[3,2,2,1] => [3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => [2,3,5,1,4] => 0
[3,2,1,1,1] => [3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => [2,1,4,3,5] => 0
[3,1,1,1,1,1] => [4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => [2,4,1,5,3] => 0
[2,2,2,2] => [5,1,1,1] => [1,1,0,1,1,1,0,0,0,0,1,0] => [3,1,2,4,6,5] => 0
[2,2,2,1,1] => [5,3] => [1,1,1,1,0,0,0,1,0,0,1,0] => [1,2,5,3,6,4] => 0
[2,2,1,1,1,1] => [3,3,2] => [1,1,0,0,1,0,1,1,0,0] => [1,3,4,2,5] => 0
[2,1,1,1,1,1,1] => [4,2,2] => [1,1,0,0,1,1,0,0,1,0] => [1,3,2,5,4] => 0
[1,1,1,1,1,1,1,1] => [4,3,1] => [1,1,0,1,0,0,1,0,1,0] => [3,1,4,5,2] => 0
[5,3,1] => [3,2,2,1,1] => [1,0,1,1,0,1,1,0,1,0,0,0] => [2,4,6,1,3,5] => 0
[5,2,1,1] => [3,3,1,1,1] => [1,0,1,1,1,0,0,1,1,0,0,0] => [2,1,5,3,4,6] => 0
[5,1,1,1,1] => [4,2,1,1,1] => [1,0,1,1,1,0,1,0,0,1,0,0] => [2,5,1,6,3,4] => 0
[4,2,2,1] => [6,3] => [1,1,1,1,1,0,0,0,1,0,0,0,1,0] => [1,2,6,3,4,7,5] => 0
[4,1,1,1,1,1] => [4,4,1] => [1,1,1,0,1,0,0,0,1,1,0,0] => [4,1,2,5,3,6] => 0
[3,3,3] => [2,2,2,2,1] => [1,0,1,0,1,1,1,1,0,0,0,0] => [2,3,1,4,5,6] => 0
[3,3,2,1] => [3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0] => [1,3,6,2,4,5] => 0
[3,3,1,1,1] => [5,2,1,1] => [1,1,0,1,1,0,1,0,0,0,1,0] => [3,5,1,2,6,4] => 0
[3,2,2,2] => [5,1,1,1,1] => [1,0,1,1,1,1,0,0,0,0,1,0] => [2,1,3,4,6,5] => 0
[3,2,2,1,1] => [3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0] => [1,2,4,3,5,6] => 0
[3,2,1,1,1,1] => [5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0] => [1,4,2,3,6,5] => 0
[3,1,1,1,1,1,1] => [5,3,1] => [1,1,1,0,1,0,0,1,0,0,1,0] => [4,1,5,2,6,3] => 0
[2,2,2,2,1] => [5,4] => [1,1,1,1,0,0,0,0,1,0,1,0] => [1,2,3,5,6,4] => 0
[2,2,2,1,1,1] => [3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => [2,3,4,1,5] => 0
[2,2,1,1,1,1,1] => [4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => [2,3,1,5,4] => 0
[2,1,1,1,1,1,1,1] => [4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => [2,1,4,5,3] => 0
[1,1,1,1,1,1,1,1,1] => [4,3,2] => [1,1,0,0,1,0,1,0,1,0] => [1,3,4,5,2] => 0
[5,2,2,1] => [3,3,2,1,1] => [1,0,1,1,0,1,0,1,1,0,0,0] => [2,4,5,1,3,6] => 0
[5,2,1,1,1] => [4,2,2,1,1] => [1,0,1,1,0,1,1,0,0,1,0,0] => [2,4,1,6,3,5] => 0
[5,1,1,1,1,1] => [4,3,1,1,1] => [1,0,1,1,1,0,0,1,0,1,0,0] => [2,1,5,6,3,4] => 0
[4,3,3] => [2,2,2,2,2] => [1,1,0,0,1,1,1,1,1,0,0,0,0,0] => [1,3,2,4,5,6,7] => 0
[4,2,2,2] => [5,5] => [1,1,1,1,1,0,0,0,0,0,1,1,0,0] => [1,2,3,4,6,5,7] => 0
[4,2,2,1,1] => [3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0] => [1,3,5,2,4,6] => 0
[4,1,1,1,1,1,1] => [4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0] => [1,2,4,6,3,5] => 0
[3,3,3,1] => [3,2,2,2,1] => [1,0,1,0,1,1,1,0,1,0,0,0] => [2,3,6,1,4,5] => 0
[3,3,1,1,1,1] => [5,4,1] => [1,1,1,0,1,0,0,0,1,0,1,0] => [4,1,2,5,6,3] => 0
[3,2,2,2,1] => [5,2,1,1,1] => [1,0,1,1,1,0,1,0,0,0,1,0] => [2,5,1,3,6,4] => 0
[3,2,2,1,1,1] => [4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0] => [1,3,2,6,4,5] => 0
[3,2,1,1,1,1,1] => [4,4,1,1] => [1,1,0,1,1,0,0,0,1,1,0,0] => [3,1,2,5,4,6] => 0
[3,1,1,1,1,1,1,1] => [4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0] => [1,4,2,5,3,6] => 0
[2,2,2,2,2] => [6,4] => [1,1,1,1,1,0,0,0,0,1,0,0,1,0] => [1,2,3,6,4,7,5] => 0
[2,2,2,2,1,1] => [3,3,3,1] => [1,1,0,1,0,0,1,1,1,0,0,0] => [3,1,4,2,5,6] => 0
[2,2,2,1,1,1,1] => [5,2,2,1] => [1,1,0,1,0,1,1,0,0,0,1,0] => [3,4,1,2,6,5] => 0
[2,2,1,1,1,1,1,1] => [5,3,1,1] => [1,1,0,1,1,0,0,1,0,0,1,0] => [3,1,5,2,6,4] => 0
[2,1,1,1,1,1,1,1,1] => [5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0] => [1,4,5,2,6,3] => 0
[1,1,1,1,1,1,1,1,1,1] => [4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,1] => 0
[5,1,1,1,1,1,1] => [4,3,2,1,1] => [1,0,1,1,0,1,0,1,0,1,0,0] => [2,4,5,6,1,3] => 0
[4,3,3,1] => [3,2,2,2,2] => [1,1,0,0,1,1,1,1,0,1,0,0,0,0] => [1,3,7,2,4,5,6] => 0
[4,3,2,2] => [3,3,2,2,1] => [1,0,1,0,1,1,0,1,1,0,0,0] => [2,3,5,1,4,6] => 0
[4,2,2,2,1] => [3,3,3,1,1] => [1,0,1,1,0,0,1,1,1,0,0,0] => [2,1,4,3,5,6] => 0
[4,2,2,1,1,1] => [5,2,2,1,1] => [1,0,1,1,0,1,1,0,0,0,1,0] => [2,4,1,3,6,5] => 0
[4,1,1,1,1,1,1,1] => [4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0] => [1,3,5,6,2,4] => 0
[3,3,3,1,1] => [4,2,2,2,1] => [1,0,1,0,1,1,1,0,0,1,0,0] => [2,3,1,6,4,5] => 0
[3,3,2,1,1,1] => [4,4,1,1,1] => [1,0,1,1,1,0,0,0,1,1,0,0] => [2,1,3,5,4,6] => 0
[3,3,1,1,1,1,1] => [4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0] => [1,2,4,5,3,6] => 0
[3,2,2,2,2] => [6,5] => [1,1,1,1,1,0,0,0,0,0,1,0,1,0] => [1,2,3,4,6,7,5] => 0
[3,2,2,1,1,1,1] => [5,3,1,1,1] => [1,0,1,1,1,0,0,1,0,0,1,0] => [2,1,5,3,6,4] => 0
[3,2,1,1,1,1,1,1] => [5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0] => [1,2,4,3,6,5] => 0
>>> Load all 203 entries. <<<
[3,1,1,1,1,1,1,1,1] => [4,3,3,1] => [1,1,0,1,0,0,1,1,0,1,0,0] => [3,1,4,6,2,5] => 0
[2,2,2,2,2,1] => [3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0] => [1,3,4,2,5,6] => 0
[2,2,2,2,1,1,1] => [5,2,2,2] => [1,1,0,0,1,1,1,0,0,0,1,0] => [1,3,2,4,6,5] => 0
[2,2,2,1,1,1,1,1] => [5,4,1,1] => [1,1,0,1,1,0,0,0,1,0,1,0] => [3,1,2,5,6,4] => 0
[2,2,1,1,1,1,1,1,1] => [5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0] => [1,4,2,5,6,3] => 0
[2,1,1,1,1,1,1,1,1,1] => [4,4,2,1] => [1,1,0,1,0,1,0,0,1,1,0,0] => [3,4,1,5,2,6] => 0
[1,1,1,1,1,1,1,1,1,1,1] => [5,3,2,1] => [1,1,0,1,0,1,0,1,0,0,1,0] => [3,4,5,1,6,2] => 0
[5,3,1,1,1,1] => [4,4,4] => [1,1,1,1,0,0,0,0,1,1,1,0,0,0] => [1,2,3,5,4,6,7] => 0
[4,3,3,2] => [3,3,2,2,2] => [1,1,0,0,1,1,1,0,1,1,0,0,0,0] => [1,3,6,2,4,5,7] => 0
[4,3,3,1,1] => [4,2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,1,0,0,0] => [1,3,2,7,4,5,6] => 0
[4,2,2,2,2] => [3,3,3,3] => [1,1,1,0,0,0,1,1,1,1,0,0,0,0] => [1,2,4,3,5,6,7] => 0
[4,2,2,2,1,1] => [6,2,2,2] => [1,1,1,0,0,1,1,1,0,0,0,0,1,0] => [1,4,2,3,5,7,6] => 0
[4,2,2,1,1,1,1] => [4,3,3,1,1] => [1,0,1,1,0,0,1,1,0,1,0,0] => [2,1,4,6,3,5] => 0
[4,2,1,1,1,1,1,1] => [4,4,2,1,1] => [1,0,1,1,0,1,0,0,1,1,0,0] => [2,4,1,5,3,6] => 0
[4,1,1,1,1,1,1,1,1] => [5,3,2,1,1] => [1,0,1,1,0,1,0,1,0,0,1,0] => [2,4,5,1,6,3] => 0
[3,3,3,1,1,1] => [4,3,2,2,1] => [1,0,1,0,1,1,0,1,0,1,0,0] => [2,3,5,6,1,4] => 0
[3,3,2,1,1,1,1] => [6,3,3] => [1,1,1,1,0,0,0,1,1,0,0,0,1,0] => [1,2,5,3,4,7,6] => 0
[3,3,1,1,1,1,1,1] => [4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,0] => [1,3,4,6,2,5] => 0
[3,2,1,1,1,1,1,1,1] => [4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,0] => [1,3,2,5,4,6] => 0
[3,1,1,1,1,1,1,1,1,1] => [5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,0] => [1,3,5,2,6,4] => 0
[2,2,2,2,2,2] => [3,3,3,2,1] => [1,0,1,0,1,0,1,1,1,0,0,0] => [2,3,4,1,5,6] => 0
[2,2,2,2,2,1,1] => [5,2,2,2,1] => [1,0,1,0,1,1,1,0,0,0,1,0] => [2,3,1,4,6,5] => 0
[2,2,2,2,1,1,1,1] => [5,4,1,1,1] => [1,0,1,1,1,0,0,0,1,0,1,0] => [2,1,3,5,6,4] => 0
[2,2,2,1,1,1,1,1,1] => [5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,0] => [1,2,4,5,6,3] => 0
[2,2,1,1,1,1,1,1,1,1] => [4,4,3,1] => [1,1,0,1,0,0,1,0,1,1,0,0] => [3,1,4,5,2,6] => 0
[2,1,1,1,1,1,1,1,1,1,1] => [5,3,3,1] => [1,1,0,1,0,0,1,1,0,0,1,0] => [3,1,4,2,6,5] => 0
[1,1,1,1,1,1,1,1,1,1,1,1] => [5,4,2,1] => [1,1,0,1,0,1,0,0,1,0,1,0] => [3,4,1,5,6,2] => 0
[5,2,2,1,1,1,1] => [5,4,4] => [1,1,1,1,0,0,0,0,1,1,0,1,0,0] => [1,2,3,5,7,4,6] => 0
[4,3,3,1,1,1] => [4,3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,1,0,0,0] => [1,3,6,7,2,4,5] => 0
[4,3,2,2,2] => [3,3,3,2,2] => [1,1,0,0,1,1,0,1,1,1,0,0,0,0] => [1,3,5,2,4,6,7] => 0
[4,3,1,1,1,1,1,1] => [6,3,2,2] => [1,1,1,0,0,1,1,0,1,0,0,0,1,0] => [1,4,6,2,3,7,5] => 0
[4,2,2,2,2,1] => [5,2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,1,0,0] => [1,3,2,4,7,5,6] => 0
[3,3,3,1,1,1,1] => [4,3,3,3] => [1,1,1,0,0,0,1,1,1,0,1,0,0,0] => [1,2,4,7,3,5,6] => 0
[3,3,2,1,1,1,1,1] => [4,4,2,2,1] => [1,0,1,0,1,1,0,0,1,1,0,0] => [2,3,1,5,4,6] => 0
[3,3,1,1,1,1,1,1,1] => [5,3,2,2,1] => [1,0,1,0,1,1,0,1,0,0,1,0] => [2,3,5,1,6,4] => 0
[3,2,2,2,2,1,1] => [4,3,3,2,1] => [1,0,1,0,1,0,1,1,0,1,0,0] => [2,3,4,6,1,5] => 0
[3,2,2,2,1,1,1,1] => [5,5,3] => [1,1,1,1,0,0,0,1,0,0,1,1,0,0] => [1,2,5,3,6,4,7] => 0
[3,2,2,1,1,1,1,1,1] => [4,4,3,1,1] => [1,0,1,1,0,0,1,0,1,1,0,0] => [2,1,4,5,3,6] => 0
[3,2,1,1,1,1,1,1,1,1] => [5,3,3,1,1] => [1,0,1,1,0,0,1,1,0,0,1,0] => [2,1,4,3,6,5] => 0
[3,1,1,1,1,1,1,1,1,1,1] => [5,4,2,1,1] => [1,0,1,1,0,1,0,0,1,0,1,0] => [2,4,1,5,6,3] => 0
[2,2,2,2,1,1,1,1,1] => [6,4,3] => [1,1,1,1,0,0,0,1,0,1,0,0,1,0] => [1,2,5,6,3,7,4] => 0
[2,2,2,1,1,1,1,1,1,1] => [4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,0,0] => [1,3,4,5,2,6] => 0
[2,2,1,1,1,1,1,1,1,1,1] => [5,3,3,2] => [1,1,0,0,1,0,1,1,0,0,1,0] => [1,3,4,2,6,5] => 0
[2,1,1,1,1,1,1,1,1,1,1,1] => [5,4,2,2] => [1,1,0,0,1,1,0,0,1,0,1,0] => [1,3,2,5,6,4] => 0
[1,1,1,1,1,1,1,1,1,1,1,1,1] => [5,4,3,1] => [1,1,0,1,0,0,1,0,1,0,1,0] => [3,1,4,5,6,2] => 0
[5,2,2,1,1,1,1,1] => [4,4,3,3] => [1,1,1,0,0,0,1,1,0,1,1,0,0,0] => [1,2,4,6,3,5,7] => 0
[4,3,2,2,2,1] => [4,3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,1,0,0,0] => [1,3,5,7,2,4,6] => 0
[4,3,2,2,1,1,1] => [5,5,4] => [1,1,1,1,0,0,0,0,1,0,1,1,0,0] => [1,2,3,5,6,4,7] => 0
[4,2,2,1,1,1,1,1,1] => [4,4,4,2] => [1,1,1,0,0,1,0,0,1,1,1,0,0,0] => [1,4,2,5,3,6,7] => 0
[4,2,1,1,1,1,1,1,1,1] => [5,5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,1,0,0] => [1,4,2,3,6,5,7] => 0
[3,3,3,2,1,1,1] => [4,4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,1,0,0,0] => [1,3,2,6,4,5,7] => 0
[3,3,2,2,2,2] => [3,3,3,3,2] => [1,1,0,0,1,0,1,1,1,1,0,0,0,0] => [1,3,4,2,5,6,7] => 0
[3,3,2,2,1,1,1,1] => [5,3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,1,0,0] => [1,3,6,2,7,4,5] => 0
[3,2,2,2,2,1,1,1] => [6,4,4] => [1,1,1,1,0,0,0,0,1,1,0,0,1,0] => [1,2,3,5,4,7,6] => 0
[3,2,2,2,1,1,1,1,1] => [5,3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,1,0,0] => [1,2,4,3,7,5,6] => 0
[3,2,2,1,1,1,1,1,1,1] => [6,3,3,2] => [1,1,1,0,0,1,0,1,1,0,0,0,1,0] => [1,4,5,2,3,7,6] => 0
[3,2,1,1,1,1,1,1,1,1,1] => [6,4,2,2] => [1,1,1,0,0,1,1,0,0,1,0,0,1,0] => [1,4,2,6,3,7,5] => 0
[2,2,2,2,2,2,2] => [6,2,2,2,2] => [1,1,0,0,1,1,1,1,0,0,0,0,1,0] => [1,3,2,4,5,7,6] => 0
[2,2,2,2,2,1,1,1,1] => [6,5,3] => [1,1,1,1,0,0,0,1,0,0,1,0,1,0] => [1,2,5,3,6,7,4] => 0
[2,2,2,2,1,1,1,1,1,1] => [4,4,3,2,1] => [1,0,1,0,1,0,1,0,1,1,0,0] => [2,3,4,5,1,6] => 0
[2,2,2,1,1,1,1,1,1,1,1] => [5,3,3,2,1] => [1,0,1,0,1,0,1,1,0,0,1,0] => [2,3,4,1,6,5] => 0
[2,2,1,1,1,1,1,1,1,1,1,1] => [5,4,2,2,1] => [1,0,1,0,1,1,0,0,1,0,1,0] => [2,3,1,5,6,4] => 0
[2,1,1,1,1,1,1,1,1,1,1,1,1] => [5,4,3,1,1] => [1,0,1,1,0,0,1,0,1,0,1,0] => [2,1,4,5,6,3] => 0
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [5,4,3,2] => [1,1,0,0,1,0,1,0,1,0,1,0] => [1,3,4,5,6,2] => 0
[5,2,2,2,1,1,1,1] => [4,4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,1,0,0,0] => [1,3,5,6,2,4,7] => 0
[5,2,2,1,1,1,1,1,1] => [5,3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,1,0,0] => [1,3,5,2,7,4,6] => 0
[5,1,1,1,1,1,1,1,1,1,1] => [5,4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,1,0,0] => [1,2,4,6,7,3,5] => 0
[4,3,2,2,1,1,1,1] => [4,4,4,3] => [1,1,1,0,0,0,1,0,1,1,1,0,0,0] => [1,2,4,5,3,6,7] => 0
[4,2,2,1,1,1,1,1,1,1] => [5,4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,1,0,0] => [1,3,2,6,7,4,5] => 0
[4,1,1,1,1,1,1,1,1,1,1,1] => [5,4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,1,0,0] => [1,4,2,5,7,3,6] => 0
[3,3,2,2,2,2,1] => [4,3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,1,0,0,0] => [1,3,4,7,2,5,6] => 0
[3,3,2,2,1,1,1,1,1] => [6,3,3,3] => [1,1,1,0,0,0,1,1,1,0,0,0,1,0] => [1,2,4,3,5,7,6] => 0
[3,3,2,1,1,1,1,1,1,1] => [6,5,2,2] => [1,1,1,0,0,1,1,0,0,0,1,0,1,0] => [1,4,2,3,6,7,5] => 0
[3,2,2,2,2,2,1,1] => [6,3,2,2,2] => [1,1,0,0,1,1,1,0,1,0,0,0,1,0] => [1,3,6,2,4,7,5] => 0
[3,1,1,1,1,1,1,1,1,1,1,1,1] => [5,5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,1,0,0] => [1,4,5,2,6,3,7] => 0
[2,2,2,2,2,2,1,1,1] => [6,5,4] => [1,1,1,1,0,0,0,0,1,0,1,0,1,0] => [1,2,3,5,6,7,4] => 0
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] => [6,4,3,2] => [1,1,1,0,0,1,0,1,0,1,0,0,1,0] => [1,4,5,6,2,7,3] => 0
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [5,4,3,2,1] => [1,0,1,0,1,0,1,0,1,0,1,0] => [2,3,4,5,6,1] => 0
[5,1,1,1,1,1,1,1,1,1,1,1] => [5,4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,1,0,0] => [1,3,5,6,7,2,4] => 0
[4,4,1,1,1,1,1,1,1,1] => [5,4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,1,0,0] => [1,2,4,5,7,3,6] => 0
[4,3,2,2,2,1,1,1] => [4,4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,1,0,0,0] => [1,3,4,6,2,5,7] => 0
[4,3,1,1,1,1,1,1,1,1,1] => [5,5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,1,0,0] => [1,2,4,3,6,5,7] => 0
[4,2,2,2,2,1,1,1,1] => [5,3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,1,0,0] => [1,3,4,2,7,5,6] => 0
[4,2,1,1,1,1,1,1,1,1,1,1] => [6,4,3,3] => [1,1,1,0,0,0,1,1,0,1,0,0,1,0] => [1,2,4,6,3,7,5] => 0
[3,3,2,2,2,1,1,1,1] => [4,4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,1,0,0,0] => [1,3,2,5,4,6,7] => 0
[3,3,2,2,1,1,1,1,1,1] => [5,5,2,2,2] => [1,1,0,0,1,1,1,0,0,0,1,1,0,0] => [1,3,2,4,6,5,7] => 0
[3,3,1,1,1,1,1,1,1,1,1,1] => [5,5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,1,0,0] => [1,4,2,5,6,3,7] => 0
[3,2,2,2,2,1,1,1,1,1] => [6,3,3,2,2] => [1,1,0,0,1,1,0,1,1,0,0,0,1,0] => [1,3,5,2,4,7,6] => 0
[3,2,2,2,1,1,1,1,1,1,1] => [6,4,2,2,2] => [1,1,0,0,1,1,1,0,0,1,0,0,1,0] => [1,3,2,6,4,7,5] => 0
[3,2,1,1,1,1,1,1,1,1,1,1,1] => [6,4,4,2] => [1,1,1,0,0,1,0,0,1,1,0,0,1,0] => [1,4,2,5,3,7,6] => 0
[2,2,1,1,1,1,1,1,1,1,1,1,1,1] => [6,5,3,2] => [1,1,1,0,0,1,0,1,0,0,1,0,1,0] => [1,4,5,2,6,7,3] => 0
[4,4,1,1,1,1,1,1,1,1,1] => [5,4,3,3,2] => [1,1,0,0,1,0,1,1,0,1,0,1,0,0] => [1,3,4,6,7,2,5] => 0
[4,3,1,1,1,1,1,1,1,1,1,1] => [5,4,4,2,2] => [1,1,0,0,1,1,0,0,1,1,0,1,0,0] => [1,3,2,5,7,4,6] => 0
[4,2,1,1,1,1,1,1,1,1,1,1,1] => [5,5,3,2,2] => [1,1,0,0,1,1,0,1,0,0,1,1,0,0] => [1,3,5,2,6,4,7] => 0
[4,1,1,1,1,1,1,1,1,1,1,1,1,1] => [6,4,3,2,2] => [1,1,0,0,1,1,0,1,0,1,0,0,1,0] => [1,3,5,6,2,7,4] => 0
[3,3,3,1,1,1,1,1,1,1,1] => [5,5,4,3] => [1,1,1,0,0,0,1,0,1,0,1,1,0,0] => [1,2,4,5,6,3,7] => 0
[3,3,2,1,1,1,1,1,1,1,1,1] => [6,4,4,3] => [1,1,1,0,0,0,1,0,1,1,0,0,1,0] => [1,2,4,5,3,7,6] => 0
[3,2,2,1,1,1,1,1,1,1,1,1,1] => [6,5,3,3] => [1,1,1,0,0,0,1,1,0,0,1,0,1,0] => [1,2,4,3,6,7,5] => 0
[2,2,2,2,2,2,2,1,1,1] => [4,4,4,3,2] => [1,1,0,0,1,0,1,0,1,1,1,0,0,0] => [1,3,4,5,2,6,7] => 0
[2,2,2,2,2,2,1,1,1,1,1] => [6,3,3,3,2] => [1,1,0,0,1,0,1,1,1,0,0,0,1,0] => [1,3,4,2,5,7,6] => 0
[2,2,2,2,2,1,1,1,1,1,1,1] => [6,5,2,2,2] => [1,1,0,0,1,1,1,0,0,0,1,0,1,0] => [1,3,2,4,6,7,5] => 0
[2,2,2,1,1,1,1,1,1,1,1,1,1,1] => [6,5,4,2] => [1,1,1,0,0,1,0,0,1,0,1,0,1,0] => [1,4,2,5,6,7,3] => 0
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
Description
The number of occurrences of the pattern 52341 in a permutation.
It is a necessary condition that a permutation $\pi$ avoids this pattern for the Schubert variety associated to $\pi$ to have a complete parabolic bundle structure [1].
Map
Loehr-Warrington
Description
Return a partition whose diagonal inversion number is the length of the preimage.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.
Map
to 321-avoiding permutation (Billey-Jockusch-Stanley)
Description
The Billey-Jockusch-Stanley bijection to 321-avoiding permutations.