Identifier
-
Mp00248:
Permutations
—DEX composition⟶
Integer compositions
Mp00040: Integer compositions —to partition⟶ Integer partitions
St000010: Integer partitions ⟶ ℤ
Values
[1] => [1] => [1] => 1
[1,2] => [2] => [2] => 1
[2,1] => [2] => [2] => 1
[1,2,3] => [3] => [3] => 1
[1,3,2] => [1,2] => [2,1] => 2
[2,1,3] => [3] => [3] => 1
[2,3,1] => [3] => [3] => 1
[3,1,2] => [3] => [3] => 1
[3,2,1] => [2,1] => [2,1] => 2
[1,2,3,4] => [4] => [4] => 1
[1,2,4,3] => [2,2] => [2,2] => 2
[1,3,2,4] => [1,3] => [3,1] => 2
[1,3,4,2] => [1,3] => [3,1] => 2
[1,4,2,3] => [1,3] => [3,1] => 2
[1,4,3,2] => [1,2,1] => [2,1,1] => 3
[2,1,3,4] => [4] => [4] => 1
[2,1,4,3] => [2,2] => [2,2] => 2
[2,3,1,4] => [4] => [4] => 1
[2,3,4,1] => [4] => [4] => 1
[2,4,1,3] => [4] => [4] => 1
[2,4,3,1] => [3,1] => [3,1] => 2
[3,1,2,4] => [4] => [4] => 1
[3,1,4,2] => [2,2] => [2,2] => 2
[3,2,1,4] => [2,2] => [2,2] => 2
[3,2,4,1] => [2,2] => [2,2] => 2
[3,4,1,2] => [4] => [4] => 1
[3,4,2,1] => [3,1] => [3,1] => 2
[4,1,2,3] => [4] => [4] => 1
[4,1,3,2] => [3,1] => [3,1] => 2
[4,2,1,3] => [2,2] => [2,2] => 2
[4,2,3,1] => [3,1] => [3,1] => 2
[4,3,1,2] => [1,3] => [3,1] => 2
[4,3,2,1] => [1,2,1] => [2,1,1] => 3
[1,2,3,4,5] => [5] => [5] => 1
[1,2,3,5,4] => [3,2] => [3,2] => 2
[1,2,4,3,5] => [2,3] => [3,2] => 2
[1,2,4,5,3] => [2,3] => [3,2] => 2
[1,2,5,3,4] => [2,3] => [3,2] => 2
[1,2,5,4,3] => [2,2,1] => [2,2,1] => 3
[1,3,2,4,5] => [1,4] => [4,1] => 2
[1,3,2,5,4] => [1,2,2] => [2,2,1] => 3
[1,3,4,2,5] => [1,4] => [4,1] => 2
[1,3,4,5,2] => [1,4] => [4,1] => 2
[1,3,5,2,4] => [1,4] => [4,1] => 2
[1,3,5,4,2] => [1,3,1] => [3,1,1] => 3
[1,4,2,3,5] => [1,4] => [4,1] => 2
[1,4,2,5,3] => [1,2,2] => [2,2,1] => 3
[1,4,3,2,5] => [1,2,2] => [2,2,1] => 3
[1,4,3,5,2] => [1,2,2] => [2,2,1] => 3
[1,4,5,2,3] => [1,4] => [4,1] => 2
[1,4,5,3,2] => [1,3,1] => [3,1,1] => 3
[1,5,2,3,4] => [1,4] => [4,1] => 2
[1,5,2,4,3] => [1,3,1] => [3,1,1] => 3
[1,5,3,2,4] => [1,2,2] => [2,2,1] => 3
[1,5,3,4,2] => [1,3,1] => [3,1,1] => 3
[1,5,4,2,3] => [1,1,3] => [3,1,1] => 3
[1,5,4,3,2] => [1,1,2,1] => [2,1,1,1] => 4
[2,1,3,4,5] => [5] => [5] => 1
[2,1,3,5,4] => [3,2] => [3,2] => 2
[2,1,4,3,5] => [2,3] => [3,2] => 2
[2,1,4,5,3] => [2,3] => [3,2] => 2
[2,1,5,3,4] => [2,3] => [3,2] => 2
[2,1,5,4,3] => [2,2,1] => [2,2,1] => 3
[2,3,1,4,5] => [5] => [5] => 1
[2,3,1,5,4] => [3,2] => [3,2] => 2
[2,3,4,1,5] => [5] => [5] => 1
[2,3,4,5,1] => [5] => [5] => 1
[2,3,5,1,4] => [5] => [5] => 1
[2,3,5,4,1] => [4,1] => [4,1] => 2
[2,4,1,3,5] => [5] => [5] => 1
[2,4,1,5,3] => [3,2] => [3,2] => 2
[2,4,3,1,5] => [3,2] => [3,2] => 2
[2,4,3,5,1] => [3,2] => [3,2] => 2
[2,4,5,1,3] => [5] => [5] => 1
[2,4,5,3,1] => [4,1] => [4,1] => 2
[2,5,1,3,4] => [5] => [5] => 1
[2,5,1,4,3] => [4,1] => [4,1] => 2
[2,5,3,1,4] => [3,2] => [3,2] => 2
[2,5,3,4,1] => [4,1] => [4,1] => 2
[2,5,4,1,3] => [2,3] => [3,2] => 2
[2,5,4,3,1] => [2,2,1] => [2,2,1] => 3
[3,1,2,4,5] => [5] => [5] => 1
[3,1,2,5,4] => [3,2] => [3,2] => 2
[3,1,4,2,5] => [2,3] => [3,2] => 2
[3,1,4,5,2] => [2,3] => [3,2] => 2
[3,1,5,2,4] => [2,3] => [3,2] => 2
[3,1,5,4,2] => [2,2,1] => [2,2,1] => 3
[3,2,1,4,5] => [2,3] => [3,2] => 2
[3,2,1,5,4] => [2,1,2] => [2,2,1] => 3
[3,2,4,1,5] => [2,3] => [3,2] => 2
[3,2,4,5,1] => [2,3] => [3,2] => 2
[3,2,5,1,4] => [2,3] => [3,2] => 2
[3,2,5,4,1] => [2,2,1] => [2,2,1] => 3
[3,4,1,2,5] => [5] => [5] => 1
[3,4,1,5,2] => [3,2] => [3,2] => 2
[3,4,2,1,5] => [3,2] => [3,2] => 2
[3,4,2,5,1] => [3,2] => [3,2] => 2
[3,4,5,1,2] => [5] => [5] => 1
[3,4,5,2,1] => [4,1] => [4,1] => 2
[3,5,1,2,4] => [5] => [5] => 1
[3,5,1,4,2] => [4,1] => [4,1] => 2
>>> Load all 13643 entries. <<<[3,5,2,1,4] => [3,2] => [3,2] => 2
[3,5,2,4,1] => [4,1] => [4,1] => 2
[3,5,4,1,2] => [2,3] => [3,2] => 2
[3,5,4,2,1] => [2,2,1] => [2,2,1] => 3
[4,1,2,3,5] => [5] => [5] => 1
[4,1,2,5,3] => [3,2] => [3,2] => 2
[4,1,3,2,5] => [3,2] => [3,2] => 2
[4,1,3,5,2] => [3,2] => [3,2] => 2
[4,1,5,2,3] => [2,3] => [3,2] => 2
[4,1,5,3,2] => [2,2,1] => [2,2,1] => 3
[4,2,1,3,5] => [2,3] => [3,2] => 2
[4,2,1,5,3] => [2,1,2] => [2,2,1] => 3
[4,2,3,1,5] => [3,2] => [3,2] => 2
[4,2,3,5,1] => [3,2] => [3,2] => 2
[4,2,5,1,3] => [2,3] => [3,2] => 2
[4,2,5,3,1] => [2,2,1] => [2,2,1] => 3
[4,3,1,2,5] => [1,4] => [4,1] => 2
[4,3,1,5,2] => [1,2,2] => [2,2,1] => 3
[4,3,2,1,5] => [1,2,2] => [2,2,1] => 3
[4,3,2,5,1] => [1,2,2] => [2,2,1] => 3
[4,3,5,1,2] => [1,4] => [4,1] => 2
[4,3,5,2,1] => [1,3,1] => [3,1,1] => 3
[4,5,1,2,3] => [5] => [5] => 1
[4,5,1,3,2] => [4,1] => [4,1] => 2
[4,5,2,1,3] => [3,2] => [3,2] => 2
[4,5,2,3,1] => [4,1] => [4,1] => 2
[4,5,3,1,2] => [3,2] => [3,2] => 2
[4,5,3,2,1] => [3,1,1] => [3,1,1] => 3
[5,1,2,3,4] => [5] => [5] => 1
[5,1,2,4,3] => [4,1] => [4,1] => 2
[5,1,3,2,4] => [3,2] => [3,2] => 2
[5,1,3,4,2] => [4,1] => [4,1] => 2
[5,1,4,2,3] => [2,3] => [3,2] => 2
[5,1,4,3,2] => [2,2,1] => [2,2,1] => 3
[5,2,1,3,4] => [2,3] => [3,2] => 2
[5,2,1,4,3] => [2,2,1] => [2,2,1] => 3
[5,2,3,1,4] => [3,2] => [3,2] => 2
[5,2,3,4,1] => [4,1] => [4,1] => 2
[5,2,4,1,3] => [2,3] => [3,2] => 2
[5,2,4,3,1] => [2,2,1] => [2,2,1] => 3
[5,3,1,2,4] => [1,4] => [4,1] => 2
[5,3,1,4,2] => [1,3,1] => [3,1,1] => 3
[5,3,2,1,4] => [1,2,2] => [2,2,1] => 3
[5,3,2,4,1] => [1,3,1] => [3,1,1] => 3
[5,3,4,1,2] => [1,4] => [4,1] => 2
[5,3,4,2,1] => [1,3,1] => [3,1,1] => 3
[5,4,1,2,3] => [1,4] => [4,1] => 2
[5,4,1,3,2] => [1,3,1] => [3,1,1] => 3
[5,4,2,1,3] => [1,2,2] => [2,2,1] => 3
[5,4,2,3,1] => [1,3,1] => [3,1,1] => 3
[5,4,3,1,2] => [1,2,2] => [2,2,1] => 3
[5,4,3,2,1] => [1,2,1,1] => [2,1,1,1] => 4
[1,2,3,4,5,6] => [6] => [6] => 1
[1,2,3,4,6,5] => [4,2] => [4,2] => 2
[1,2,3,5,4,6] => [3,3] => [3,3] => 2
[1,2,3,5,6,4] => [3,3] => [3,3] => 2
[1,2,3,6,4,5] => [3,3] => [3,3] => 2
[1,2,3,6,5,4] => [3,2,1] => [3,2,1] => 3
[1,2,4,3,5,6] => [2,4] => [4,2] => 2
[1,2,4,3,6,5] => [2,2,2] => [2,2,2] => 3
[1,2,4,5,3,6] => [2,4] => [4,2] => 2
[1,2,4,5,6,3] => [2,4] => [4,2] => 2
[1,2,4,6,3,5] => [2,4] => [4,2] => 2
[1,2,4,6,5,3] => [2,3,1] => [3,2,1] => 3
[1,2,5,3,4,6] => [2,4] => [4,2] => 2
[1,2,5,3,6,4] => [2,2,2] => [2,2,2] => 3
[1,2,5,4,3,6] => [2,2,2] => [2,2,2] => 3
[1,2,5,4,6,3] => [2,2,2] => [2,2,2] => 3
[1,2,5,6,3,4] => [2,4] => [4,2] => 2
[1,2,5,6,4,3] => [2,3,1] => [3,2,1] => 3
[1,2,6,3,4,5] => [2,4] => [4,2] => 2
[1,2,6,3,5,4] => [2,3,1] => [3,2,1] => 3
[1,2,6,4,3,5] => [2,2,2] => [2,2,2] => 3
[1,2,6,4,5,3] => [2,3,1] => [3,2,1] => 3
[1,2,6,5,3,4] => [2,1,3] => [3,2,1] => 3
[1,2,6,5,4,3] => [2,1,2,1] => [2,2,1,1] => 4
[1,3,2,4,5,6] => [1,5] => [5,1] => 2
[1,3,2,4,6,5] => [1,3,2] => [3,2,1] => 3
[1,3,2,5,4,6] => [1,2,3] => [3,2,1] => 3
[1,3,2,5,6,4] => [1,2,3] => [3,2,1] => 3
[1,3,2,6,4,5] => [1,2,3] => [3,2,1] => 3
[1,3,2,6,5,4] => [1,2,2,1] => [2,2,1,1] => 4
[1,3,4,2,5,6] => [1,5] => [5,1] => 2
[1,3,4,2,6,5] => [1,3,2] => [3,2,1] => 3
[1,3,4,5,2,6] => [1,5] => [5,1] => 2
[1,3,4,5,6,2] => [1,5] => [5,1] => 2
[1,3,4,6,2,5] => [1,5] => [5,1] => 2
[1,3,4,6,5,2] => [1,4,1] => [4,1,1] => 3
[1,3,5,2,4,6] => [1,5] => [5,1] => 2
[1,3,5,2,6,4] => [1,3,2] => [3,2,1] => 3
[1,3,5,4,2,6] => [1,3,2] => [3,2,1] => 3
[1,3,5,4,6,2] => [1,3,2] => [3,2,1] => 3
[1,3,5,6,2,4] => [1,5] => [5,1] => 2
[1,3,5,6,4,2] => [1,4,1] => [4,1,1] => 3
[1,3,6,2,4,5] => [1,5] => [5,1] => 2
[1,3,6,2,5,4] => [1,4,1] => [4,1,1] => 3
[1,3,6,4,2,5] => [1,3,2] => [3,2,1] => 3
[1,3,6,4,5,2] => [1,4,1] => [4,1,1] => 3
[1,3,6,5,2,4] => [1,2,3] => [3,2,1] => 3
[1,3,6,5,4,2] => [1,2,2,1] => [2,2,1,1] => 4
[1,4,2,3,5,6] => [1,5] => [5,1] => 2
[1,4,2,3,6,5] => [1,3,2] => [3,2,1] => 3
[1,4,2,5,3,6] => [1,2,3] => [3,2,1] => 3
[1,4,2,5,6,3] => [1,2,3] => [3,2,1] => 3
[1,4,2,6,3,5] => [1,2,3] => [3,2,1] => 3
[1,4,2,6,5,3] => [1,2,2,1] => [2,2,1,1] => 4
[1,4,3,2,5,6] => [1,2,3] => [3,2,1] => 3
[1,4,3,2,6,5] => [1,2,1,2] => [2,2,1,1] => 4
[1,4,3,5,2,6] => [1,2,3] => [3,2,1] => 3
[1,4,3,5,6,2] => [1,2,3] => [3,2,1] => 3
[1,4,3,6,2,5] => [1,2,3] => [3,2,1] => 3
[1,4,3,6,5,2] => [1,2,2,1] => [2,2,1,1] => 4
[1,4,5,2,3,6] => [1,5] => [5,1] => 2
[1,4,5,2,6,3] => [1,3,2] => [3,2,1] => 3
[1,4,5,3,2,6] => [1,3,2] => [3,2,1] => 3
[1,4,5,3,6,2] => [1,3,2] => [3,2,1] => 3
[1,4,5,6,2,3] => [1,5] => [5,1] => 2
[1,4,5,6,3,2] => [1,4,1] => [4,1,1] => 3
[1,4,6,2,3,5] => [1,5] => [5,1] => 2
[1,4,6,2,5,3] => [1,4,1] => [4,1,1] => 3
[1,4,6,3,2,5] => [1,3,2] => [3,2,1] => 3
[1,4,6,3,5,2] => [1,4,1] => [4,1,1] => 3
[1,4,6,5,2,3] => [1,2,3] => [3,2,1] => 3
[1,4,6,5,3,2] => [1,2,2,1] => [2,2,1,1] => 4
[1,5,2,3,4,6] => [1,5] => [5,1] => 2
[1,5,2,3,6,4] => [1,3,2] => [3,2,1] => 3
[1,5,2,4,3,6] => [1,3,2] => [3,2,1] => 3
[1,5,2,4,6,3] => [1,3,2] => [3,2,1] => 3
[1,5,2,6,3,4] => [1,2,3] => [3,2,1] => 3
[1,5,2,6,4,3] => [1,2,2,1] => [2,2,1,1] => 4
[1,5,3,2,4,6] => [1,2,3] => [3,2,1] => 3
[1,5,3,2,6,4] => [1,2,1,2] => [2,2,1,1] => 4
[1,5,3,4,2,6] => [1,3,2] => [3,2,1] => 3
[1,5,3,4,6,2] => [1,3,2] => [3,2,1] => 3
[1,5,3,6,2,4] => [1,2,3] => [3,2,1] => 3
[1,5,3,6,4,2] => [1,2,2,1] => [2,2,1,1] => 4
[1,5,4,2,3,6] => [1,1,4] => [4,1,1] => 3
[1,5,4,2,6,3] => [1,1,2,2] => [2,2,1,1] => 4
[1,5,4,3,2,6] => [1,1,2,2] => [2,2,1,1] => 4
[1,5,4,3,6,2] => [1,1,2,2] => [2,2,1,1] => 4
[1,5,4,6,2,3] => [1,1,4] => [4,1,1] => 3
[1,5,4,6,3,2] => [1,1,3,1] => [3,1,1,1] => 4
[1,5,6,2,3,4] => [1,5] => [5,1] => 2
[1,5,6,2,4,3] => [1,4,1] => [4,1,1] => 3
[1,5,6,3,2,4] => [1,3,2] => [3,2,1] => 3
[1,5,6,3,4,2] => [1,4,1] => [4,1,1] => 3
[1,5,6,4,2,3] => [1,3,2] => [3,2,1] => 3
[1,5,6,4,3,2] => [1,3,1,1] => [3,1,1,1] => 4
[1,6,2,3,4,5] => [1,5] => [5,1] => 2
[1,6,2,3,5,4] => [1,4,1] => [4,1,1] => 3
[1,6,2,4,3,5] => [1,3,2] => [3,2,1] => 3
[1,6,2,4,5,3] => [1,4,1] => [4,1,1] => 3
[1,6,2,5,3,4] => [1,2,3] => [3,2,1] => 3
[1,6,2,5,4,3] => [1,2,2,1] => [2,2,1,1] => 4
[1,6,3,2,4,5] => [1,2,3] => [3,2,1] => 3
[1,6,3,2,5,4] => [1,2,2,1] => [2,2,1,1] => 4
[1,6,3,4,2,5] => [1,3,2] => [3,2,1] => 3
[1,6,3,4,5,2] => [1,4,1] => [4,1,1] => 3
[1,6,3,5,2,4] => [1,2,3] => [3,2,1] => 3
[1,6,3,5,4,2] => [1,2,2,1] => [2,2,1,1] => 4
[1,6,4,2,3,5] => [1,1,4] => [4,1,1] => 3
[1,6,4,2,5,3] => [1,1,3,1] => [3,1,1,1] => 4
[1,6,4,3,2,5] => [1,1,2,2] => [2,2,1,1] => 4
[1,6,4,3,5,2] => [1,1,3,1] => [3,1,1,1] => 4
[1,6,4,5,2,3] => [1,1,4] => [4,1,1] => 3
[1,6,4,5,3,2] => [1,1,3,1] => [3,1,1,1] => 4
[1,6,5,2,3,4] => [1,1,4] => [4,1,1] => 3
[1,6,5,2,4,3] => [1,1,3,1] => [3,1,1,1] => 4
[1,6,5,3,2,4] => [1,1,2,2] => [2,2,1,1] => 4
[1,6,5,3,4,2] => [1,1,3,1] => [3,1,1,1] => 4
[1,6,5,4,2,3] => [1,1,2,2] => [2,2,1,1] => 4
[1,6,5,4,3,2] => [1,1,2,1,1] => [2,1,1,1,1] => 5
[2,1,3,4,5,6] => [6] => [6] => 1
[2,1,3,4,6,5] => [4,2] => [4,2] => 2
[2,1,3,5,4,6] => [3,3] => [3,3] => 2
[2,1,3,5,6,4] => [3,3] => [3,3] => 2
[2,1,3,6,4,5] => [3,3] => [3,3] => 2
[2,1,3,6,5,4] => [3,2,1] => [3,2,1] => 3
[2,1,4,3,5,6] => [2,4] => [4,2] => 2
[2,1,4,3,6,5] => [2,2,2] => [2,2,2] => 3
[2,1,4,5,3,6] => [2,4] => [4,2] => 2
[2,1,4,5,6,3] => [2,4] => [4,2] => 2
[2,1,4,6,3,5] => [2,4] => [4,2] => 2
[2,1,4,6,5,3] => [2,3,1] => [3,2,1] => 3
[2,1,5,3,4,6] => [2,4] => [4,2] => 2
[2,1,5,3,6,4] => [2,2,2] => [2,2,2] => 3
[2,1,5,4,3,6] => [2,2,2] => [2,2,2] => 3
[2,1,5,4,6,3] => [2,2,2] => [2,2,2] => 3
[2,1,5,6,3,4] => [2,4] => [4,2] => 2
[2,1,5,6,4,3] => [2,3,1] => [3,2,1] => 3
[2,1,6,3,4,5] => [2,4] => [4,2] => 2
[2,1,6,3,5,4] => [2,3,1] => [3,2,1] => 3
[2,1,6,4,3,5] => [2,2,2] => [2,2,2] => 3
[2,1,6,4,5,3] => [2,3,1] => [3,2,1] => 3
[2,1,6,5,3,4] => [2,1,3] => [3,2,1] => 3
[2,1,6,5,4,3] => [2,1,2,1] => [2,2,1,1] => 4
[2,3,1,4,5,6] => [6] => [6] => 1
[2,3,1,4,6,5] => [4,2] => [4,2] => 2
[2,3,1,5,4,6] => [3,3] => [3,3] => 2
[2,3,1,5,6,4] => [3,3] => [3,3] => 2
[2,3,1,6,4,5] => [3,3] => [3,3] => 2
[2,3,1,6,5,4] => [3,2,1] => [3,2,1] => 3
[2,3,4,1,5,6] => [6] => [6] => 1
[2,3,4,1,6,5] => [4,2] => [4,2] => 2
[2,3,4,5,1,6] => [6] => [6] => 1
[2,3,4,5,6,1] => [6] => [6] => 1
[2,3,4,6,1,5] => [6] => [6] => 1
[2,3,4,6,5,1] => [5,1] => [5,1] => 2
[2,3,5,1,4,6] => [6] => [6] => 1
[2,3,5,1,6,4] => [4,2] => [4,2] => 2
[2,3,5,4,1,6] => [4,2] => [4,2] => 2
[2,3,5,4,6,1] => [4,2] => [4,2] => 2
[2,3,5,6,1,4] => [6] => [6] => 1
[2,3,5,6,4,1] => [5,1] => [5,1] => 2
[2,3,6,1,4,5] => [6] => [6] => 1
[2,3,6,1,5,4] => [5,1] => [5,1] => 2
[2,3,6,4,1,5] => [4,2] => [4,2] => 2
[2,3,6,4,5,1] => [5,1] => [5,1] => 2
[2,3,6,5,1,4] => [3,3] => [3,3] => 2
[2,3,6,5,4,1] => [3,2,1] => [3,2,1] => 3
[2,4,1,3,5,6] => [6] => [6] => 1
[2,4,1,3,6,5] => [4,2] => [4,2] => 2
[2,4,1,5,3,6] => [3,3] => [3,3] => 2
[2,4,1,5,6,3] => [3,3] => [3,3] => 2
[2,4,1,6,3,5] => [3,3] => [3,3] => 2
[2,4,1,6,5,3] => [3,2,1] => [3,2,1] => 3
[2,4,3,1,5,6] => [3,3] => [3,3] => 2
[2,4,3,1,6,5] => [3,1,2] => [3,2,1] => 3
[2,4,3,5,1,6] => [3,3] => [3,3] => 2
[2,4,3,5,6,1] => [3,3] => [3,3] => 2
[2,4,3,6,1,5] => [3,3] => [3,3] => 2
[2,4,3,6,5,1] => [3,2,1] => [3,2,1] => 3
[2,4,5,1,3,6] => [6] => [6] => 1
[2,4,5,1,6,3] => [4,2] => [4,2] => 2
[2,4,5,3,1,6] => [4,2] => [4,2] => 2
[2,4,5,3,6,1] => [4,2] => [4,2] => 2
[2,4,5,6,1,3] => [6] => [6] => 1
[2,4,5,6,3,1] => [5,1] => [5,1] => 2
[2,4,6,1,3,5] => [6] => [6] => 1
[2,4,6,1,5,3] => [5,1] => [5,1] => 2
[2,4,6,3,1,5] => [4,2] => [4,2] => 2
[2,4,6,3,5,1] => [5,1] => [5,1] => 2
[2,4,6,5,1,3] => [3,3] => [3,3] => 2
[2,4,6,5,3,1] => [3,2,1] => [3,2,1] => 3
[2,5,1,3,4,6] => [6] => [6] => 1
[2,5,1,3,6,4] => [4,2] => [4,2] => 2
[2,5,1,4,3,6] => [4,2] => [4,2] => 2
[2,5,1,4,6,3] => [4,2] => [4,2] => 2
[2,5,1,6,3,4] => [3,3] => [3,3] => 2
[2,5,1,6,4,3] => [3,2,1] => [3,2,1] => 3
[2,5,3,1,4,6] => [3,3] => [3,3] => 2
[2,5,3,1,6,4] => [3,1,2] => [3,2,1] => 3
[2,5,3,4,1,6] => [4,2] => [4,2] => 2
[2,5,3,4,6,1] => [4,2] => [4,2] => 2
[2,5,3,6,1,4] => [3,3] => [3,3] => 2
[2,5,3,6,4,1] => [3,2,1] => [3,2,1] => 3
[2,5,4,1,3,6] => [2,4] => [4,2] => 2
[2,5,4,1,6,3] => [2,2,2] => [2,2,2] => 3
[2,5,4,3,1,6] => [2,2,2] => [2,2,2] => 3
[2,5,4,3,6,1] => [2,2,2] => [2,2,2] => 3
[2,5,4,6,1,3] => [2,4] => [4,2] => 2
[2,5,4,6,3,1] => [2,3,1] => [3,2,1] => 3
[2,5,6,1,3,4] => [6] => [6] => 1
[2,5,6,1,4,3] => [5,1] => [5,1] => 2
[2,5,6,3,1,4] => [4,2] => [4,2] => 2
[2,5,6,3,4,1] => [5,1] => [5,1] => 2
[2,5,6,4,1,3] => [4,2] => [4,2] => 2
[2,5,6,4,3,1] => [4,1,1] => [4,1,1] => 3
[2,6,1,3,4,5] => [6] => [6] => 1
[2,6,1,3,5,4] => [5,1] => [5,1] => 2
[2,6,1,4,3,5] => [4,2] => [4,2] => 2
[2,6,1,4,5,3] => [5,1] => [5,1] => 2
[2,6,1,5,3,4] => [3,3] => [3,3] => 2
[2,6,1,5,4,3] => [3,2,1] => [3,2,1] => 3
[2,6,3,1,4,5] => [3,3] => [3,3] => 2
[2,6,3,1,5,4] => [3,2,1] => [3,2,1] => 3
[2,6,3,4,1,5] => [4,2] => [4,2] => 2
[2,6,3,4,5,1] => [5,1] => [5,1] => 2
[2,6,3,5,1,4] => [3,3] => [3,3] => 2
[2,6,3,5,4,1] => [3,2,1] => [3,2,1] => 3
[2,6,4,1,3,5] => [2,4] => [4,2] => 2
[2,6,4,1,5,3] => [2,3,1] => [3,2,1] => 3
[2,6,4,3,1,5] => [2,2,2] => [2,2,2] => 3
[2,6,4,3,5,1] => [2,3,1] => [3,2,1] => 3
[2,6,4,5,1,3] => [2,4] => [4,2] => 2
[2,6,4,5,3,1] => [2,3,1] => [3,2,1] => 3
[2,6,5,1,3,4] => [2,4] => [4,2] => 2
[2,6,5,1,4,3] => [2,3,1] => [3,2,1] => 3
[2,6,5,3,1,4] => [2,2,2] => [2,2,2] => 3
[2,6,5,3,4,1] => [2,3,1] => [3,2,1] => 3
[2,6,5,4,1,3] => [2,2,2] => [2,2,2] => 3
[2,6,5,4,3,1] => [2,2,1,1] => [2,2,1,1] => 4
[3,1,2,4,5,6] => [6] => [6] => 1
[3,1,2,4,6,5] => [4,2] => [4,2] => 2
[3,1,2,5,4,6] => [3,3] => [3,3] => 2
[3,1,2,5,6,4] => [3,3] => [3,3] => 2
[3,1,2,6,4,5] => [3,3] => [3,3] => 2
[3,1,2,6,5,4] => [3,2,1] => [3,2,1] => 3
[3,1,4,2,5,6] => [2,4] => [4,2] => 2
[3,1,4,2,6,5] => [2,2,2] => [2,2,2] => 3
[3,1,4,5,2,6] => [2,4] => [4,2] => 2
[3,1,4,5,6,2] => [2,4] => [4,2] => 2
[3,1,4,6,2,5] => [2,4] => [4,2] => 2
[3,1,4,6,5,2] => [2,3,1] => [3,2,1] => 3
[3,1,5,2,4,6] => [2,4] => [4,2] => 2
[3,1,5,2,6,4] => [2,2,2] => [2,2,2] => 3
[3,1,5,4,2,6] => [2,2,2] => [2,2,2] => 3
[3,1,5,4,6,2] => [2,2,2] => [2,2,2] => 3
[3,1,5,6,2,4] => [2,4] => [4,2] => 2
[3,1,5,6,4,2] => [2,3,1] => [3,2,1] => 3
[3,1,6,2,4,5] => [2,4] => [4,2] => 2
[3,1,6,2,5,4] => [2,3,1] => [3,2,1] => 3
[3,1,6,4,2,5] => [2,2,2] => [2,2,2] => 3
[3,1,6,4,5,2] => [2,3,1] => [3,2,1] => 3
[3,1,6,5,2,4] => [2,1,3] => [3,2,1] => 3
[3,1,6,5,4,2] => [2,1,2,1] => [2,2,1,1] => 4
[3,2,1,4,5,6] => [2,4] => [4,2] => 2
[3,2,1,4,6,5] => [2,2,2] => [2,2,2] => 3
[3,2,1,5,4,6] => [2,1,3] => [3,2,1] => 3
[3,2,1,5,6,4] => [2,1,3] => [3,2,1] => 3
[3,2,1,6,4,5] => [2,1,3] => [3,2,1] => 3
[3,2,1,6,5,4] => [2,1,2,1] => [2,2,1,1] => 4
[3,2,4,1,5,6] => [2,4] => [4,2] => 2
[3,2,4,1,6,5] => [2,2,2] => [2,2,2] => 3
[3,2,4,5,1,6] => [2,4] => [4,2] => 2
[3,2,4,5,6,1] => [2,4] => [4,2] => 2
[3,2,4,6,1,5] => [2,4] => [4,2] => 2
[3,2,4,6,5,1] => [2,3,1] => [3,2,1] => 3
[3,2,5,1,4,6] => [2,4] => [4,2] => 2
[3,2,5,1,6,4] => [2,2,2] => [2,2,2] => 3
[3,2,5,4,1,6] => [2,2,2] => [2,2,2] => 3
[3,2,5,4,6,1] => [2,2,2] => [2,2,2] => 3
[3,2,5,6,1,4] => [2,4] => [4,2] => 2
[3,2,5,6,4,1] => [2,3,1] => [3,2,1] => 3
[3,2,6,1,4,5] => [2,4] => [4,2] => 2
[3,2,6,1,5,4] => [2,3,1] => [3,2,1] => 3
[3,2,6,4,1,5] => [2,2,2] => [2,2,2] => 3
[3,2,6,4,5,1] => [2,3,1] => [3,2,1] => 3
[3,2,6,5,1,4] => [2,1,3] => [3,2,1] => 3
[3,2,6,5,4,1] => [2,1,2,1] => [2,2,1,1] => 4
[3,4,1,2,5,6] => [6] => [6] => 1
[3,4,1,2,6,5] => [4,2] => [4,2] => 2
[3,4,1,5,2,6] => [3,3] => [3,3] => 2
[3,4,1,5,6,2] => [3,3] => [3,3] => 2
[3,4,1,6,2,5] => [3,3] => [3,3] => 2
[3,4,1,6,5,2] => [3,2,1] => [3,2,1] => 3
[3,4,2,1,5,6] => [3,3] => [3,3] => 2
[3,4,2,1,6,5] => [3,1,2] => [3,2,1] => 3
[3,4,2,5,1,6] => [3,3] => [3,3] => 2
[3,4,2,5,6,1] => [3,3] => [3,3] => 2
[3,4,2,6,1,5] => [3,3] => [3,3] => 2
[3,4,2,6,5,1] => [3,2,1] => [3,2,1] => 3
[3,4,5,1,2,6] => [6] => [6] => 1
[3,4,5,1,6,2] => [4,2] => [4,2] => 2
[3,4,5,2,1,6] => [4,2] => [4,2] => 2
[3,4,5,2,6,1] => [4,2] => [4,2] => 2
[3,4,5,6,1,2] => [6] => [6] => 1
[3,4,5,6,2,1] => [5,1] => [5,1] => 2
[3,4,6,1,2,5] => [6] => [6] => 1
[3,4,6,1,5,2] => [5,1] => [5,1] => 2
[3,4,6,2,1,5] => [4,2] => [4,2] => 2
[3,4,6,2,5,1] => [5,1] => [5,1] => 2
[3,4,6,5,1,2] => [3,3] => [3,3] => 2
[3,4,6,5,2,1] => [3,2,1] => [3,2,1] => 3
[3,5,1,2,4,6] => [6] => [6] => 1
[3,5,1,2,6,4] => [4,2] => [4,2] => 2
[3,5,1,4,2,6] => [4,2] => [4,2] => 2
[3,5,1,4,6,2] => [4,2] => [4,2] => 2
[3,5,1,6,2,4] => [3,3] => [3,3] => 2
[3,5,1,6,4,2] => [3,2,1] => [3,2,1] => 3
[3,5,2,1,4,6] => [3,3] => [3,3] => 2
[3,5,2,1,6,4] => [3,1,2] => [3,2,1] => 3
[3,5,2,4,1,6] => [4,2] => [4,2] => 2
[3,5,2,4,6,1] => [4,2] => [4,2] => 2
[3,5,2,6,1,4] => [3,3] => [3,3] => 2
[3,5,2,6,4,1] => [3,2,1] => [3,2,1] => 3
[3,5,4,1,2,6] => [2,4] => [4,2] => 2
[3,5,4,1,6,2] => [2,2,2] => [2,2,2] => 3
[3,5,4,2,1,6] => [2,2,2] => [2,2,2] => 3
[3,5,4,2,6,1] => [2,2,2] => [2,2,2] => 3
[3,5,4,6,1,2] => [2,4] => [4,2] => 2
[3,5,4,6,2,1] => [2,3,1] => [3,2,1] => 3
[3,5,6,1,2,4] => [6] => [6] => 1
[3,5,6,1,4,2] => [5,1] => [5,1] => 2
[3,5,6,2,1,4] => [4,2] => [4,2] => 2
[3,5,6,2,4,1] => [5,1] => [5,1] => 2
[3,5,6,4,1,2] => [4,2] => [4,2] => 2
[3,5,6,4,2,1] => [4,1,1] => [4,1,1] => 3
[3,6,1,2,4,5] => [6] => [6] => 1
[3,6,1,2,5,4] => [5,1] => [5,1] => 2
[3,6,1,4,2,5] => [4,2] => [4,2] => 2
[3,6,1,4,5,2] => [5,1] => [5,1] => 2
[3,6,1,5,2,4] => [3,3] => [3,3] => 2
[3,6,1,5,4,2] => [3,2,1] => [3,2,1] => 3
[3,6,2,1,4,5] => [3,3] => [3,3] => 2
[3,6,2,1,5,4] => [3,2,1] => [3,2,1] => 3
[3,6,2,4,1,5] => [4,2] => [4,2] => 2
[3,6,2,4,5,1] => [5,1] => [5,1] => 2
[3,6,2,5,1,4] => [3,3] => [3,3] => 2
[3,6,2,5,4,1] => [3,2,1] => [3,2,1] => 3
[3,6,4,1,2,5] => [2,4] => [4,2] => 2
[3,6,4,1,5,2] => [2,3,1] => [3,2,1] => 3
[3,6,4,2,1,5] => [2,2,2] => [2,2,2] => 3
[3,6,4,2,5,1] => [2,3,1] => [3,2,1] => 3
[3,6,4,5,1,2] => [2,4] => [4,2] => 2
[3,6,4,5,2,1] => [2,3,1] => [3,2,1] => 3
[3,6,5,1,2,4] => [2,4] => [4,2] => 2
[3,6,5,1,4,2] => [2,3,1] => [3,2,1] => 3
[3,6,5,2,1,4] => [2,2,2] => [2,2,2] => 3
[3,6,5,2,4,1] => [2,3,1] => [3,2,1] => 3
[3,6,5,4,1,2] => [2,2,2] => [2,2,2] => 3
[3,6,5,4,2,1] => [2,2,1,1] => [2,2,1,1] => 4
[4,1,2,3,5,6] => [6] => [6] => 1
[4,1,2,3,6,5] => [4,2] => [4,2] => 2
[4,1,2,5,3,6] => [3,3] => [3,3] => 2
[4,1,2,5,6,3] => [3,3] => [3,3] => 2
[4,1,2,6,3,5] => [3,3] => [3,3] => 2
[4,1,2,6,5,3] => [3,2,1] => [3,2,1] => 3
[4,1,3,2,5,6] => [3,3] => [3,3] => 2
[4,1,3,2,6,5] => [3,1,2] => [3,2,1] => 3
[4,1,3,5,2,6] => [3,3] => [3,3] => 2
[4,1,3,5,6,2] => [3,3] => [3,3] => 2
[4,1,3,6,2,5] => [3,3] => [3,3] => 2
[4,1,3,6,5,2] => [3,2,1] => [3,2,1] => 3
[4,1,5,2,3,6] => [2,4] => [4,2] => 2
[4,1,5,2,6,3] => [2,2,2] => [2,2,2] => 3
[4,1,5,3,2,6] => [2,2,2] => [2,2,2] => 3
[4,1,5,3,6,2] => [2,2,2] => [2,2,2] => 3
[4,1,5,6,2,3] => [2,4] => [4,2] => 2
[4,1,5,6,3,2] => [2,3,1] => [3,2,1] => 3
[4,1,6,2,3,5] => [2,4] => [4,2] => 2
[4,1,6,2,5,3] => [2,3,1] => [3,2,1] => 3
[4,1,6,3,2,5] => [2,2,2] => [2,2,2] => 3
[4,1,6,3,5,2] => [2,3,1] => [3,2,1] => 3
[4,1,6,5,2,3] => [2,1,3] => [3,2,1] => 3
[4,1,6,5,3,2] => [2,1,2,1] => [2,2,1,1] => 4
[4,2,1,3,5,6] => [2,4] => [4,2] => 2
[4,2,1,3,6,5] => [2,2,2] => [2,2,2] => 3
[4,2,1,5,3,6] => [2,1,3] => [3,2,1] => 3
[4,2,1,5,6,3] => [2,1,3] => [3,2,1] => 3
[4,2,1,6,3,5] => [2,1,3] => [3,2,1] => 3
[4,2,1,6,5,3] => [2,1,2,1] => [2,2,1,1] => 4
[4,2,3,1,5,6] => [3,3] => [3,3] => 2
[4,2,3,1,6,5] => [3,1,2] => [3,2,1] => 3
[4,2,3,5,1,6] => [3,3] => [3,3] => 2
[4,2,3,5,6,1] => [3,3] => [3,3] => 2
[4,2,3,6,1,5] => [3,3] => [3,3] => 2
[4,2,3,6,5,1] => [3,2,1] => [3,2,1] => 3
[4,2,5,1,3,6] => [2,4] => [4,2] => 2
[4,2,5,1,6,3] => [2,2,2] => [2,2,2] => 3
[4,2,5,3,1,6] => [2,2,2] => [2,2,2] => 3
[4,2,5,3,6,1] => [2,2,2] => [2,2,2] => 3
[4,2,5,6,1,3] => [2,4] => [4,2] => 2
[4,2,5,6,3,1] => [2,3,1] => [3,2,1] => 3
[4,2,6,1,3,5] => [2,4] => [4,2] => 2
[4,2,6,1,5,3] => [2,3,1] => [3,2,1] => 3
[4,2,6,3,1,5] => [2,2,2] => [2,2,2] => 3
[4,2,6,3,5,1] => [2,3,1] => [3,2,1] => 3
[4,2,6,5,1,3] => [2,1,3] => [3,2,1] => 3
[4,2,6,5,3,1] => [2,1,2,1] => [2,2,1,1] => 4
[4,3,1,2,5,6] => [1,5] => [5,1] => 2
[4,3,1,2,6,5] => [1,3,2] => [3,2,1] => 3
[4,3,1,5,2,6] => [1,2,3] => [3,2,1] => 3
[4,3,1,5,6,2] => [1,2,3] => [3,2,1] => 3
[4,3,1,6,2,5] => [1,2,3] => [3,2,1] => 3
[4,3,1,6,5,2] => [1,2,2,1] => [2,2,1,1] => 4
[4,3,2,1,5,6] => [1,2,3] => [3,2,1] => 3
[4,3,2,1,6,5] => [1,2,1,2] => [2,2,1,1] => 4
[4,3,2,5,1,6] => [1,2,3] => [3,2,1] => 3
[4,3,2,5,6,1] => [1,2,3] => [3,2,1] => 3
[4,3,2,6,1,5] => [1,2,3] => [3,2,1] => 3
[4,3,2,6,5,1] => [1,2,2,1] => [2,2,1,1] => 4
[4,3,5,1,2,6] => [1,5] => [5,1] => 2
[4,3,5,1,6,2] => [1,3,2] => [3,2,1] => 3
[4,3,5,2,1,6] => [1,3,2] => [3,2,1] => 3
[4,3,5,2,6,1] => [1,3,2] => [3,2,1] => 3
[4,3,5,6,1,2] => [1,5] => [5,1] => 2
[4,3,5,6,2,1] => [1,4,1] => [4,1,1] => 3
[4,3,6,1,2,5] => [1,5] => [5,1] => 2
[4,3,6,1,5,2] => [1,4,1] => [4,1,1] => 3
[4,3,6,2,1,5] => [1,3,2] => [3,2,1] => 3
[4,3,6,2,5,1] => [1,4,1] => [4,1,1] => 3
[4,3,6,5,1,2] => [1,2,3] => [3,2,1] => 3
[4,3,6,5,2,1] => [1,2,2,1] => [2,2,1,1] => 4
[4,5,1,2,3,6] => [6] => [6] => 1
[4,5,1,2,6,3] => [4,2] => [4,2] => 2
[4,5,1,3,2,6] => [4,2] => [4,2] => 2
[4,5,1,3,6,2] => [4,2] => [4,2] => 2
[4,5,1,6,2,3] => [3,3] => [3,3] => 2
[4,5,1,6,3,2] => [3,2,1] => [3,2,1] => 3
[4,5,2,1,3,6] => [3,3] => [3,3] => 2
[4,5,2,1,6,3] => [3,1,2] => [3,2,1] => 3
[4,5,2,3,1,6] => [4,2] => [4,2] => 2
[4,5,2,3,6,1] => [4,2] => [4,2] => 2
[4,5,2,6,1,3] => [3,3] => [3,3] => 2
[4,5,2,6,3,1] => [3,2,1] => [3,2,1] => 3
[4,5,3,1,2,6] => [3,3] => [3,3] => 2
[4,5,3,1,6,2] => [3,1,2] => [3,2,1] => 3
[4,5,3,2,1,6] => [3,1,2] => [3,2,1] => 3
[4,5,3,2,6,1] => [3,1,2] => [3,2,1] => 3
[4,5,3,6,1,2] => [3,3] => [3,3] => 2
[4,5,3,6,2,1] => [3,2,1] => [3,2,1] => 3
[4,5,6,1,2,3] => [6] => [6] => 1
[4,5,6,1,3,2] => [5,1] => [5,1] => 2
[4,5,6,2,1,3] => [4,2] => [4,2] => 2
[4,5,6,2,3,1] => [5,1] => [5,1] => 2
[4,5,6,3,1,2] => [4,2] => [4,2] => 2
[4,5,6,3,2,1] => [4,1,1] => [4,1,1] => 3
[4,6,1,2,3,5] => [6] => [6] => 1
[4,6,1,2,5,3] => [5,1] => [5,1] => 2
[4,6,1,3,2,5] => [4,2] => [4,2] => 2
[4,6,1,3,5,2] => [5,1] => [5,1] => 2
[4,6,1,5,2,3] => [3,3] => [3,3] => 2
[4,6,1,5,3,2] => [3,2,1] => [3,2,1] => 3
[4,6,2,1,3,5] => [3,3] => [3,3] => 2
[4,6,2,1,5,3] => [3,2,1] => [3,2,1] => 3
[4,6,2,3,1,5] => [4,2] => [4,2] => 2
[4,6,2,3,5,1] => [5,1] => [5,1] => 2
[4,6,2,5,1,3] => [3,3] => [3,3] => 2
[4,6,2,5,3,1] => [3,2,1] => [3,2,1] => 3
[4,6,3,1,2,5] => [3,3] => [3,3] => 2
[4,6,3,1,5,2] => [3,2,1] => [3,2,1] => 3
[4,6,3,2,1,5] => [3,1,2] => [3,2,1] => 3
[4,6,3,2,5,1] => [3,2,1] => [3,2,1] => 3
[4,6,3,5,1,2] => [3,3] => [3,3] => 2
[4,6,3,5,2,1] => [3,2,1] => [3,2,1] => 3
[4,6,5,1,2,3] => [2,4] => [4,2] => 2
[4,6,5,1,3,2] => [2,3,1] => [3,2,1] => 3
[4,6,5,2,1,3] => [2,2,2] => [2,2,2] => 3
[4,6,5,2,3,1] => [2,3,1] => [3,2,1] => 3
[4,6,5,3,1,2] => [2,2,2] => [2,2,2] => 3
[4,6,5,3,2,1] => [2,2,1,1] => [2,2,1,1] => 4
[5,1,2,3,4,6] => [6] => [6] => 1
[5,1,2,3,6,4] => [4,2] => [4,2] => 2
[5,1,2,4,3,6] => [4,2] => [4,2] => 2
[5,1,2,4,6,3] => [4,2] => [4,2] => 2
[5,1,2,6,3,4] => [3,3] => [3,3] => 2
[5,1,2,6,4,3] => [3,2,1] => [3,2,1] => 3
[5,1,3,2,4,6] => [3,3] => [3,3] => 2
[5,1,3,2,6,4] => [3,1,2] => [3,2,1] => 3
[5,1,3,4,2,6] => [4,2] => [4,2] => 2
[5,1,3,4,6,2] => [4,2] => [4,2] => 2
[5,1,3,6,2,4] => [3,3] => [3,3] => 2
[5,1,3,6,4,2] => [3,2,1] => [3,2,1] => 3
[5,1,4,2,3,6] => [2,4] => [4,2] => 2
[5,1,4,2,6,3] => [2,2,2] => [2,2,2] => 3
[5,1,4,3,2,6] => [2,2,2] => [2,2,2] => 3
[5,1,4,3,6,2] => [2,2,2] => [2,2,2] => 3
[5,1,4,6,2,3] => [2,4] => [4,2] => 2
[5,1,4,6,3,2] => [2,3,1] => [3,2,1] => 3
[5,1,6,2,3,4] => [2,4] => [4,2] => 2
[5,1,6,2,4,3] => [2,3,1] => [3,2,1] => 3
[5,1,6,3,2,4] => [2,2,2] => [2,2,2] => 3
[5,1,6,3,4,2] => [2,3,1] => [3,2,1] => 3
[5,1,6,4,2,3] => [2,2,2] => [2,2,2] => 3
[5,1,6,4,3,2] => [2,2,1,1] => [2,2,1,1] => 4
[5,2,1,3,4,6] => [2,4] => [4,2] => 2
[5,2,1,3,6,4] => [2,2,2] => [2,2,2] => 3
[5,2,1,4,3,6] => [2,2,2] => [2,2,2] => 3
[5,2,1,4,6,3] => [2,2,2] => [2,2,2] => 3
[5,2,1,6,3,4] => [2,1,3] => [3,2,1] => 3
[5,2,1,6,4,3] => [2,1,2,1] => [2,2,1,1] => 4
[5,2,3,1,4,6] => [3,3] => [3,3] => 2
[5,2,3,1,6,4] => [3,1,2] => [3,2,1] => 3
[5,2,3,4,1,6] => [4,2] => [4,2] => 2
[5,2,3,4,6,1] => [4,2] => [4,2] => 2
[5,2,3,6,1,4] => [3,3] => [3,3] => 2
[5,2,3,6,4,1] => [3,2,1] => [3,2,1] => 3
[5,2,4,1,3,6] => [2,4] => [4,2] => 2
[5,2,4,1,6,3] => [2,2,2] => [2,2,2] => 3
[5,2,4,3,1,6] => [2,2,2] => [2,2,2] => 3
[5,2,4,3,6,1] => [2,2,2] => [2,2,2] => 3
[5,2,4,6,1,3] => [2,4] => [4,2] => 2
[5,2,4,6,3,1] => [2,3,1] => [3,2,1] => 3
[5,2,6,1,3,4] => [2,4] => [4,2] => 2
[5,2,6,1,4,3] => [2,3,1] => [3,2,1] => 3
[5,2,6,3,1,4] => [2,2,2] => [2,2,2] => 3
[5,2,6,3,4,1] => [2,3,1] => [3,2,1] => 3
[5,2,6,4,1,3] => [2,2,2] => [2,2,2] => 3
[5,2,6,4,3,1] => [2,2,1,1] => [2,2,1,1] => 4
[5,3,1,2,4,6] => [1,5] => [5,1] => 2
[5,3,1,2,6,4] => [1,3,2] => [3,2,1] => 3
[5,3,1,4,2,6] => [1,3,2] => [3,2,1] => 3
[5,3,1,4,6,2] => [1,3,2] => [3,2,1] => 3
[5,3,1,6,2,4] => [1,2,3] => [3,2,1] => 3
[5,3,1,6,4,2] => [1,2,2,1] => [2,2,1,1] => 4
[5,3,2,1,4,6] => [1,2,3] => [3,2,1] => 3
[5,3,2,1,6,4] => [1,2,1,2] => [2,2,1,1] => 4
[5,3,2,4,1,6] => [1,3,2] => [3,2,1] => 3
[5,3,2,4,6,1] => [1,3,2] => [3,2,1] => 3
[5,3,2,6,1,4] => [1,2,3] => [3,2,1] => 3
[5,3,2,6,4,1] => [1,2,2,1] => [2,2,1,1] => 4
[5,3,4,1,2,6] => [1,5] => [5,1] => 2
[5,3,4,1,6,2] => [1,3,2] => [3,2,1] => 3
[5,3,4,2,1,6] => [1,3,2] => [3,2,1] => 3
[5,3,4,2,6,1] => [1,3,2] => [3,2,1] => 3
[5,3,4,6,1,2] => [1,5] => [5,1] => 2
[5,3,4,6,2,1] => [1,4,1] => [4,1,1] => 3
[5,3,6,1,2,4] => [1,5] => [5,1] => 2
[5,3,6,1,4,2] => [1,4,1] => [4,1,1] => 3
[5,3,6,2,1,4] => [1,3,2] => [3,2,1] => 3
[5,3,6,2,4,1] => [1,4,1] => [4,1,1] => 3
[5,3,6,4,1,2] => [1,3,2] => [3,2,1] => 3
[5,3,6,4,2,1] => [1,3,1,1] => [3,1,1,1] => 4
[5,4,1,2,3,6] => [1,5] => [5,1] => 2
[5,4,1,2,6,3] => [1,3,2] => [3,2,1] => 3
[5,4,1,3,2,6] => [1,3,2] => [3,2,1] => 3
[5,4,1,3,6,2] => [1,3,2] => [3,2,1] => 3
[5,4,1,6,2,3] => [1,2,3] => [3,2,1] => 3
[5,4,1,6,3,2] => [1,2,2,1] => [2,2,1,1] => 4
[5,4,2,1,3,6] => [1,2,3] => [3,2,1] => 3
[5,4,2,1,6,3] => [1,2,1,2] => [2,2,1,1] => 4
[5,4,2,3,1,6] => [1,3,2] => [3,2,1] => 3
[5,4,2,3,6,1] => [1,3,2] => [3,2,1] => 3
[5,4,2,6,1,3] => [1,2,3] => [3,2,1] => 3
[5,4,2,6,3,1] => [1,2,2,1] => [2,2,1,1] => 4
[5,4,3,1,2,6] => [1,2,3] => [3,2,1] => 3
[5,4,3,1,6,2] => [1,2,1,2] => [2,2,1,1] => 4
[5,4,3,2,1,6] => [1,2,1,2] => [2,2,1,1] => 4
[5,4,3,2,6,1] => [1,2,1,2] => [2,2,1,1] => 4
[5,4,3,6,1,2] => [1,2,3] => [3,2,1] => 3
[5,4,3,6,2,1] => [1,2,2,1] => [2,2,1,1] => 4
[5,4,6,1,2,3] => [1,5] => [5,1] => 2
[5,4,6,1,3,2] => [1,4,1] => [4,1,1] => 3
[5,4,6,2,1,3] => [1,3,2] => [3,2,1] => 3
[5,4,6,2,3,1] => [1,4,1] => [4,1,1] => 3
[5,4,6,3,1,2] => [1,3,2] => [3,2,1] => 3
[5,4,6,3,2,1] => [1,3,1,1] => [3,1,1,1] => 4
[5,6,1,2,3,4] => [6] => [6] => 1
[5,6,1,2,4,3] => [5,1] => [5,1] => 2
[5,6,1,3,2,4] => [4,2] => [4,2] => 2
[5,6,1,3,4,2] => [5,1] => [5,1] => 2
[5,6,1,4,2,3] => [4,2] => [4,2] => 2
[5,6,1,4,3,2] => [4,1,1] => [4,1,1] => 3
[5,6,2,1,3,4] => [3,3] => [3,3] => 2
[5,6,2,1,4,3] => [3,2,1] => [3,2,1] => 3
[5,6,2,3,1,4] => [4,2] => [4,2] => 2
[5,6,2,3,4,1] => [5,1] => [5,1] => 2
[5,6,2,4,1,3] => [4,2] => [4,2] => 2
[5,6,2,4,3,1] => [4,1,1] => [4,1,1] => 3
[5,6,3,1,2,4] => [3,3] => [3,3] => 2
[5,6,3,1,4,2] => [3,2,1] => [3,2,1] => 3
[5,6,3,2,1,4] => [3,1,2] => [3,2,1] => 3
[5,6,3,2,4,1] => [3,2,1] => [3,2,1] => 3
[5,6,3,4,1,2] => [4,2] => [4,2] => 2
[5,6,3,4,2,1] => [4,1,1] => [4,1,1] => 3
[5,6,4,1,2,3] => [2,4] => [4,2] => 2
[5,6,4,1,3,2] => [2,3,1] => [3,2,1] => 3
[5,6,4,2,1,3] => [2,2,2] => [2,2,2] => 3
[5,6,4,2,3,1] => [2,3,1] => [3,2,1] => 3
[5,6,4,3,1,2] => [2,2,2] => [2,2,2] => 3
[5,6,4,3,2,1] => [2,2,1,1] => [2,2,1,1] => 4
[6,1,2,3,4,5] => [6] => [6] => 1
[6,1,2,3,5,4] => [5,1] => [5,1] => 2
[6,1,2,4,3,5] => [4,2] => [4,2] => 2
[6,1,2,4,5,3] => [5,1] => [5,1] => 2
[6,1,2,5,3,4] => [3,3] => [3,3] => 2
[6,1,2,5,4,3] => [3,2,1] => [3,2,1] => 3
[6,1,3,2,4,5] => [3,3] => [3,3] => 2
[6,1,3,2,5,4] => [3,2,1] => [3,2,1] => 3
[6,1,3,4,2,5] => [4,2] => [4,2] => 2
[6,1,3,4,5,2] => [5,1] => [5,1] => 2
[6,1,3,5,2,4] => [3,3] => [3,3] => 2
[6,1,3,5,4,2] => [3,2,1] => [3,2,1] => 3
[6,1,4,2,3,5] => [2,4] => [4,2] => 2
[6,1,4,2,5,3] => [2,3,1] => [3,2,1] => 3
[6,1,4,3,2,5] => [2,2,2] => [2,2,2] => 3
[6,1,4,3,5,2] => [2,3,1] => [3,2,1] => 3
[6,1,4,5,2,3] => [2,4] => [4,2] => 2
[6,1,4,5,3,2] => [2,3,1] => [3,2,1] => 3
[6,1,5,2,3,4] => [2,4] => [4,2] => 2
[6,1,5,2,4,3] => [2,3,1] => [3,2,1] => 3
[6,1,5,3,2,4] => [2,2,2] => [2,2,2] => 3
[6,1,5,3,4,2] => [2,3,1] => [3,2,1] => 3
[6,1,5,4,2,3] => [2,2,2] => [2,2,2] => 3
[6,1,5,4,3,2] => [2,2,1,1] => [2,2,1,1] => 4
[6,2,1,3,4,5] => [2,4] => [4,2] => 2
[6,2,1,3,5,4] => [2,3,1] => [3,2,1] => 3
[6,2,1,4,3,5] => [2,2,2] => [2,2,2] => 3
[6,2,1,4,5,3] => [2,3,1] => [3,2,1] => 3
[6,2,1,5,3,4] => [2,1,3] => [3,2,1] => 3
[6,2,1,5,4,3] => [2,1,2,1] => [2,2,1,1] => 4
[6,2,3,1,4,5] => [3,3] => [3,3] => 2
[6,2,3,1,5,4] => [3,2,1] => [3,2,1] => 3
[6,2,3,4,1,5] => [4,2] => [4,2] => 2
[6,2,3,4,5,1] => [5,1] => [5,1] => 2
[6,2,3,5,1,4] => [3,3] => [3,3] => 2
[6,2,3,5,4,1] => [3,2,1] => [3,2,1] => 3
[6,2,4,1,3,5] => [2,4] => [4,2] => 2
[6,2,4,1,5,3] => [2,3,1] => [3,2,1] => 3
[6,2,4,3,1,5] => [2,2,2] => [2,2,2] => 3
[6,2,4,3,5,1] => [2,3,1] => [3,2,1] => 3
[6,2,4,5,1,3] => [2,4] => [4,2] => 2
[6,2,4,5,3,1] => [2,3,1] => [3,2,1] => 3
[6,2,5,1,3,4] => [2,4] => [4,2] => 2
[6,2,5,1,4,3] => [2,3,1] => [3,2,1] => 3
[6,2,5,3,1,4] => [2,2,2] => [2,2,2] => 3
[6,2,5,3,4,1] => [2,3,1] => [3,2,1] => 3
[6,2,5,4,1,3] => [2,2,2] => [2,2,2] => 3
[6,2,5,4,3,1] => [2,2,1,1] => [2,2,1,1] => 4
[6,3,1,2,4,5] => [1,5] => [5,1] => 2
[6,3,1,2,5,4] => [1,4,1] => [4,1,1] => 3
[6,3,1,4,2,5] => [1,3,2] => [3,2,1] => 3
[6,3,1,4,5,2] => [1,4,1] => [4,1,1] => 3
[6,3,1,5,2,4] => [1,2,3] => [3,2,1] => 3
[6,3,1,5,4,2] => [1,2,2,1] => [2,2,1,1] => 4
[6,3,2,1,4,5] => [1,2,3] => [3,2,1] => 3
[6,3,2,1,5,4] => [1,2,2,1] => [2,2,1,1] => 4
[6,3,2,4,1,5] => [1,3,2] => [3,2,1] => 3
[6,3,2,4,5,1] => [1,4,1] => [4,1,1] => 3
[6,3,2,5,1,4] => [1,2,3] => [3,2,1] => 3
[6,3,2,5,4,1] => [1,2,2,1] => [2,2,1,1] => 4
[6,3,4,1,2,5] => [1,5] => [5,1] => 2
[6,3,4,1,5,2] => [1,4,1] => [4,1,1] => 3
[6,3,4,2,1,5] => [1,3,2] => [3,2,1] => 3
[6,3,4,2,5,1] => [1,4,1] => [4,1,1] => 3
[6,3,4,5,1,2] => [1,5] => [5,1] => 2
[6,3,4,5,2,1] => [1,4,1] => [4,1,1] => 3
[6,3,5,1,2,4] => [1,5] => [5,1] => 2
[6,3,5,1,4,2] => [1,4,1] => [4,1,1] => 3
[6,3,5,2,1,4] => [1,3,2] => [3,2,1] => 3
[6,3,5,2,4,1] => [1,4,1] => [4,1,1] => 3
[6,3,5,4,1,2] => [1,3,2] => [3,2,1] => 3
[6,3,5,4,2,1] => [1,3,1,1] => [3,1,1,1] => 4
[6,4,1,2,3,5] => [1,5] => [5,1] => 2
[6,4,1,2,5,3] => [1,4,1] => [4,1,1] => 3
[6,4,1,3,2,5] => [1,3,2] => [3,2,1] => 3
[6,4,1,3,5,2] => [1,4,1] => [4,1,1] => 3
[6,4,1,5,2,3] => [1,2,3] => [3,2,1] => 3
[6,4,1,5,3,2] => [1,2,2,1] => [2,2,1,1] => 4
[6,4,2,1,3,5] => [1,2,3] => [3,2,1] => 3
[6,4,2,1,5,3] => [1,2,2,1] => [2,2,1,1] => 4
[6,4,2,3,1,5] => [1,3,2] => [3,2,1] => 3
[6,4,2,3,5,1] => [1,4,1] => [4,1,1] => 3
[6,4,2,5,1,3] => [1,2,3] => [3,2,1] => 3
[6,4,2,5,3,1] => [1,2,2,1] => [2,2,1,1] => 4
[6,4,3,1,2,5] => [1,2,3] => [3,2,1] => 3
[6,4,3,1,5,2] => [1,2,2,1] => [2,2,1,1] => 4
[6,4,3,2,1,5] => [1,2,1,2] => [2,2,1,1] => 4
[6,4,3,2,5,1] => [1,2,2,1] => [2,2,1,1] => 4
[6,4,3,5,1,2] => [1,2,3] => [3,2,1] => 3
[6,4,3,5,2,1] => [1,2,2,1] => [2,2,1,1] => 4
[6,4,5,1,2,3] => [1,5] => [5,1] => 2
[6,4,5,1,3,2] => [1,4,1] => [4,1,1] => 3
[6,4,5,2,1,3] => [1,3,2] => [3,2,1] => 3
[6,4,5,2,3,1] => [1,4,1] => [4,1,1] => 3
[6,4,5,3,1,2] => [1,3,2] => [3,2,1] => 3
[6,4,5,3,2,1] => [1,3,1,1] => [3,1,1,1] => 4
[6,5,1,2,3,4] => [1,5] => [5,1] => 2
[6,5,1,2,4,3] => [1,4,1] => [4,1,1] => 3
[6,5,1,3,2,4] => [1,3,2] => [3,2,1] => 3
[6,5,1,3,4,2] => [1,4,1] => [4,1,1] => 3
[6,5,1,4,2,3] => [1,3,2] => [3,2,1] => 3
[6,5,1,4,3,2] => [1,3,1,1] => [3,1,1,1] => 4
[6,5,2,1,3,4] => [1,2,3] => [3,2,1] => 3
[6,5,2,1,4,3] => [1,2,2,1] => [2,2,1,1] => 4
[6,5,2,3,1,4] => [1,3,2] => [3,2,1] => 3
[6,5,2,3,4,1] => [1,4,1] => [4,1,1] => 3
[6,5,2,4,1,3] => [1,3,2] => [3,2,1] => 3
[6,5,2,4,3,1] => [1,3,1,1] => [3,1,1,1] => 4
[6,5,3,1,2,4] => [1,2,3] => [3,2,1] => 3
[6,5,3,1,4,2] => [1,2,2,1] => [2,2,1,1] => 4
[6,5,3,2,1,4] => [1,2,1,2] => [2,2,1,1] => 4
[6,5,3,2,4,1] => [1,2,2,1] => [2,2,1,1] => 4
[6,5,3,4,1,2] => [1,3,2] => [3,2,1] => 3
[6,5,3,4,2,1] => [1,3,1,1] => [3,1,1,1] => 4
[6,5,4,1,2,3] => [1,1,4] => [4,1,1] => 3
[6,5,4,1,3,2] => [1,1,3,1] => [3,1,1,1] => 4
[6,5,4,2,1,3] => [1,1,2,2] => [2,2,1,1] => 4
[6,5,4,2,3,1] => [1,1,3,1] => [3,1,1,1] => 4
[6,5,4,3,1,2] => [1,1,2,2] => [2,2,1,1] => 4
[6,5,4,3,2,1] => [1,1,2,1,1] => [2,1,1,1,1] => 5
[1,2,3,4,5,6,7] => [7] => [7] => 1
[1,2,3,4,5,7,6] => [5,2] => [5,2] => 2
[1,2,3,4,6,5,7] => [4,3] => [4,3] => 2
[1,2,3,4,6,7,5] => [4,3] => [4,3] => 2
[1,2,3,4,7,5,6] => [4,3] => [4,3] => 2
[1,2,3,4,7,6,5] => [4,2,1] => [4,2,1] => 3
[1,2,3,5,4,6,7] => [3,4] => [4,3] => 2
[1,2,3,5,4,7,6] => [3,2,2] => [3,2,2] => 3
[1,2,3,5,6,4,7] => [3,4] => [4,3] => 2
[1,2,3,5,6,7,4] => [3,4] => [4,3] => 2
[1,2,3,5,7,4,6] => [3,4] => [4,3] => 2
[1,2,3,5,7,6,4] => [3,3,1] => [3,3,1] => 3
[1,2,3,6,4,5,7] => [3,4] => [4,3] => 2
[1,2,3,6,4,7,5] => [3,2,2] => [3,2,2] => 3
[1,2,3,6,5,4,7] => [3,2,2] => [3,2,2] => 3
[1,2,3,6,5,7,4] => [3,2,2] => [3,2,2] => 3
[1,2,3,6,7,4,5] => [3,4] => [4,3] => 2
[1,2,3,6,7,5,4] => [3,3,1] => [3,3,1] => 3
[1,2,3,7,4,5,6] => [3,4] => [4,3] => 2
[1,2,3,7,4,6,5] => [3,3,1] => [3,3,1] => 3
[1,2,3,7,5,4,6] => [3,2,2] => [3,2,2] => 3
[1,2,3,7,5,6,4] => [3,3,1] => [3,3,1] => 3
[1,2,3,7,6,4,5] => [3,1,3] => [3,3,1] => 3
[1,2,3,7,6,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[1,2,4,3,5,6,7] => [2,5] => [5,2] => 2
[1,2,4,3,5,7,6] => [2,3,2] => [3,2,2] => 3
[1,2,4,3,6,5,7] => [2,2,3] => [3,2,2] => 3
[1,2,4,3,6,7,5] => [2,2,3] => [3,2,2] => 3
[1,2,4,3,7,5,6] => [2,2,3] => [3,2,2] => 3
[1,2,4,3,7,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[1,2,4,5,3,6,7] => [2,5] => [5,2] => 2
[1,2,4,5,3,7,6] => [2,3,2] => [3,2,2] => 3
[1,2,4,5,6,3,7] => [2,5] => [5,2] => 2
[1,2,4,5,6,7,3] => [2,5] => [5,2] => 2
[1,2,4,5,7,3,6] => [2,5] => [5,2] => 2
[1,2,4,5,7,6,3] => [2,4,1] => [4,2,1] => 3
[1,2,4,6,3,5,7] => [2,5] => [5,2] => 2
[1,2,4,6,3,7,5] => [2,3,2] => [3,2,2] => 3
[1,2,4,6,5,3,7] => [2,3,2] => [3,2,2] => 3
[1,2,4,6,5,7,3] => [2,3,2] => [3,2,2] => 3
[1,2,4,6,7,3,5] => [2,5] => [5,2] => 2
[1,2,4,6,7,5,3] => [2,4,1] => [4,2,1] => 3
[1,2,4,7,3,5,6] => [2,5] => [5,2] => 2
[1,2,4,7,3,6,5] => [2,4,1] => [4,2,1] => 3
[1,2,4,7,5,3,6] => [2,3,2] => [3,2,2] => 3
[1,2,4,7,5,6,3] => [2,4,1] => [4,2,1] => 3
[1,2,4,7,6,3,5] => [2,2,3] => [3,2,2] => 3
[1,2,4,7,6,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[1,2,5,3,4,6,7] => [2,5] => [5,2] => 2
[1,2,5,3,4,7,6] => [2,3,2] => [3,2,2] => 3
[1,2,5,3,6,4,7] => [2,2,3] => [3,2,2] => 3
[1,2,5,3,6,7,4] => [2,2,3] => [3,2,2] => 3
[1,2,5,3,7,4,6] => [2,2,3] => [3,2,2] => 3
[1,2,5,3,7,6,4] => [2,2,2,1] => [2,2,2,1] => 4
[1,2,5,4,3,6,7] => [2,2,3] => [3,2,2] => 3
[1,2,5,4,3,7,6] => [2,2,1,2] => [2,2,2,1] => 4
[1,2,5,4,6,3,7] => [2,2,3] => [3,2,2] => 3
[1,2,5,4,6,7,3] => [2,2,3] => [3,2,2] => 3
[1,2,5,4,7,3,6] => [2,2,3] => [3,2,2] => 3
[1,2,5,4,7,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[1,2,5,6,3,4,7] => [2,5] => [5,2] => 2
[1,2,5,6,3,7,4] => [2,3,2] => [3,2,2] => 3
[1,2,5,6,4,3,7] => [2,3,2] => [3,2,2] => 3
[1,2,5,6,4,7,3] => [2,3,2] => [3,2,2] => 3
[1,2,5,6,7,3,4] => [2,5] => [5,2] => 2
[1,2,5,6,7,4,3] => [2,4,1] => [4,2,1] => 3
[1,2,5,7,3,4,6] => [2,5] => [5,2] => 2
[1,2,5,7,3,6,4] => [2,4,1] => [4,2,1] => 3
[1,2,5,7,4,3,6] => [2,3,2] => [3,2,2] => 3
[1,2,5,7,4,6,3] => [2,4,1] => [4,2,1] => 3
[1,2,5,7,6,3,4] => [2,2,3] => [3,2,2] => 3
[1,2,5,7,6,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[1,2,6,3,4,5,7] => [2,5] => [5,2] => 2
[1,2,6,3,4,7,5] => [2,3,2] => [3,2,2] => 3
[1,2,6,3,5,4,7] => [2,3,2] => [3,2,2] => 3
[1,2,6,3,5,7,4] => [2,3,2] => [3,2,2] => 3
[1,2,6,3,7,4,5] => [2,2,3] => [3,2,2] => 3
[1,2,6,3,7,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[1,2,6,4,3,5,7] => [2,2,3] => [3,2,2] => 3
[1,2,6,4,3,7,5] => [2,2,1,2] => [2,2,2,1] => 4
[1,2,6,4,5,3,7] => [2,3,2] => [3,2,2] => 3
[1,2,6,4,5,7,3] => [2,3,2] => [3,2,2] => 3
[1,2,6,4,7,3,5] => [2,2,3] => [3,2,2] => 3
[1,2,6,4,7,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[1,2,6,5,3,4,7] => [2,1,4] => [4,2,1] => 3
[1,2,6,5,3,7,4] => [2,1,2,2] => [2,2,2,1] => 4
[1,2,6,5,4,3,7] => [2,1,2,2] => [2,2,2,1] => 4
[1,2,6,5,4,7,3] => [2,1,2,2] => [2,2,2,1] => 4
[1,2,6,5,7,3,4] => [2,1,4] => [4,2,1] => 3
[1,2,6,5,7,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[1,2,6,7,3,4,5] => [2,5] => [5,2] => 2
[1,2,6,7,3,5,4] => [2,4,1] => [4,2,1] => 3
[1,2,6,7,4,3,5] => [2,3,2] => [3,2,2] => 3
[1,2,6,7,4,5,3] => [2,4,1] => [4,2,1] => 3
[1,2,6,7,5,3,4] => [2,3,2] => [3,2,2] => 3
[1,2,6,7,5,4,3] => [2,3,1,1] => [3,2,1,1] => 4
[1,2,7,3,4,5,6] => [2,5] => [5,2] => 2
[1,2,7,3,4,6,5] => [2,4,1] => [4,2,1] => 3
[1,2,7,3,5,4,6] => [2,3,2] => [3,2,2] => 3
[1,2,7,3,5,6,4] => [2,4,1] => [4,2,1] => 3
[1,2,7,3,6,4,5] => [2,2,3] => [3,2,2] => 3
[1,2,7,3,6,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[1,2,7,4,3,5,6] => [2,2,3] => [3,2,2] => 3
[1,2,7,4,3,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[1,2,7,4,5,3,6] => [2,3,2] => [3,2,2] => 3
[1,2,7,4,5,6,3] => [2,4,1] => [4,2,1] => 3
[1,2,7,4,6,3,5] => [2,2,3] => [3,2,2] => 3
[1,2,7,4,6,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[1,2,7,5,3,4,6] => [2,1,4] => [4,2,1] => 3
[1,2,7,5,3,6,4] => [2,1,3,1] => [3,2,1,1] => 4
[1,2,7,5,4,3,6] => [2,1,2,2] => [2,2,2,1] => 4
[1,2,7,5,4,6,3] => [2,1,3,1] => [3,2,1,1] => 4
[1,2,7,5,6,3,4] => [2,1,4] => [4,2,1] => 3
[1,2,7,5,6,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[1,2,7,6,3,4,5] => [2,1,4] => [4,2,1] => 3
[1,2,7,6,3,5,4] => [2,1,3,1] => [3,2,1,1] => 4
[1,2,7,6,4,3,5] => [2,1,2,2] => [2,2,2,1] => 4
[1,2,7,6,4,5,3] => [2,1,3,1] => [3,2,1,1] => 4
[1,2,7,6,5,3,4] => [2,1,2,2] => [2,2,2,1] => 4
[1,2,7,6,5,4,3] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[1,3,2,4,5,6,7] => [1,6] => [6,1] => 2
[1,3,2,4,5,7,6] => [1,4,2] => [4,2,1] => 3
[1,3,2,4,6,5,7] => [1,3,3] => [3,3,1] => 3
[1,3,2,4,6,7,5] => [1,3,3] => [3,3,1] => 3
[1,3,2,4,7,5,6] => [1,3,3] => [3,3,1] => 3
[1,3,2,4,7,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[1,3,2,5,4,6,7] => [1,2,4] => [4,2,1] => 3
[1,3,2,5,4,7,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,3,2,5,6,4,7] => [1,2,4] => [4,2,1] => 3
[1,3,2,5,6,7,4] => [1,2,4] => [4,2,1] => 3
[1,3,2,5,7,4,6] => [1,2,4] => [4,2,1] => 3
[1,3,2,5,7,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,3,2,6,4,5,7] => [1,2,4] => [4,2,1] => 3
[1,3,2,6,4,7,5] => [1,2,2,2] => [2,2,2,1] => 4
[1,3,2,6,5,4,7] => [1,2,2,2] => [2,2,2,1] => 4
[1,3,2,6,5,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,3,2,6,7,4,5] => [1,2,4] => [4,2,1] => 3
[1,3,2,6,7,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,3,2,7,4,5,6] => [1,2,4] => [4,2,1] => 3
[1,3,2,7,4,6,5] => [1,2,3,1] => [3,2,1,1] => 4
[1,3,2,7,5,4,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,3,2,7,5,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,3,2,7,6,4,5] => [1,2,1,3] => [3,2,1,1] => 4
[1,3,2,7,6,5,4] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[1,3,4,2,5,6,7] => [1,6] => [6,1] => 2
[1,3,4,2,5,7,6] => [1,4,2] => [4,2,1] => 3
[1,3,4,2,6,5,7] => [1,3,3] => [3,3,1] => 3
[1,3,4,2,6,7,5] => [1,3,3] => [3,3,1] => 3
[1,3,4,2,7,5,6] => [1,3,3] => [3,3,1] => 3
[1,3,4,2,7,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[1,3,4,5,2,6,7] => [1,6] => [6,1] => 2
[1,3,4,5,2,7,6] => [1,4,2] => [4,2,1] => 3
[1,3,4,5,6,2,7] => [1,6] => [6,1] => 2
[1,3,4,5,6,7,2] => [1,6] => [6,1] => 2
[1,3,4,5,7,2,6] => [1,6] => [6,1] => 2
[1,3,4,5,7,6,2] => [1,5,1] => [5,1,1] => 3
[1,3,4,6,2,5,7] => [1,6] => [6,1] => 2
[1,3,4,6,2,7,5] => [1,4,2] => [4,2,1] => 3
[1,3,4,6,5,2,7] => [1,4,2] => [4,2,1] => 3
[1,3,4,6,5,7,2] => [1,4,2] => [4,2,1] => 3
[1,3,4,6,7,2,5] => [1,6] => [6,1] => 2
[1,3,4,6,7,5,2] => [1,5,1] => [5,1,1] => 3
[1,3,4,7,2,5,6] => [1,6] => [6,1] => 2
[1,3,4,7,2,6,5] => [1,5,1] => [5,1,1] => 3
[1,3,4,7,5,2,6] => [1,4,2] => [4,2,1] => 3
[1,3,4,7,5,6,2] => [1,5,1] => [5,1,1] => 3
[1,3,4,7,6,2,5] => [1,3,3] => [3,3,1] => 3
[1,3,4,7,6,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,3,5,2,4,6,7] => [1,6] => [6,1] => 2
[1,3,5,2,4,7,6] => [1,4,2] => [4,2,1] => 3
[1,3,5,2,6,4,7] => [1,3,3] => [3,3,1] => 3
[1,3,5,2,6,7,4] => [1,3,3] => [3,3,1] => 3
[1,3,5,2,7,4,6] => [1,3,3] => [3,3,1] => 3
[1,3,5,2,7,6,4] => [1,3,2,1] => [3,2,1,1] => 4
[1,3,5,4,2,6,7] => [1,3,3] => [3,3,1] => 3
[1,3,5,4,2,7,6] => [1,3,1,2] => [3,2,1,1] => 4
[1,3,5,4,6,2,7] => [1,3,3] => [3,3,1] => 3
[1,3,5,4,6,7,2] => [1,3,3] => [3,3,1] => 3
[1,3,5,4,7,2,6] => [1,3,3] => [3,3,1] => 3
[1,3,5,4,7,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,3,5,6,2,4,7] => [1,6] => [6,1] => 2
[1,3,5,6,2,7,4] => [1,4,2] => [4,2,1] => 3
[1,3,5,6,4,2,7] => [1,4,2] => [4,2,1] => 3
[1,3,5,6,4,7,2] => [1,4,2] => [4,2,1] => 3
[1,3,5,6,7,2,4] => [1,6] => [6,1] => 2
[1,3,5,6,7,4,2] => [1,5,1] => [5,1,1] => 3
[1,3,5,7,2,4,6] => [1,6] => [6,1] => 2
[1,3,5,7,2,6,4] => [1,5,1] => [5,1,1] => 3
[1,3,5,7,4,2,6] => [1,4,2] => [4,2,1] => 3
[1,3,5,7,4,6,2] => [1,5,1] => [5,1,1] => 3
[1,3,5,7,6,2,4] => [1,3,3] => [3,3,1] => 3
[1,3,5,7,6,4,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,3,6,2,4,5,7] => [1,6] => [6,1] => 2
[1,3,6,2,4,7,5] => [1,4,2] => [4,2,1] => 3
[1,3,6,2,5,4,7] => [1,4,2] => [4,2,1] => 3
[1,3,6,2,5,7,4] => [1,4,2] => [4,2,1] => 3
[1,3,6,2,7,4,5] => [1,3,3] => [3,3,1] => 3
[1,3,6,2,7,5,4] => [1,3,2,1] => [3,2,1,1] => 4
[1,3,6,4,2,5,7] => [1,3,3] => [3,3,1] => 3
[1,3,6,4,2,7,5] => [1,3,1,2] => [3,2,1,1] => 4
[1,3,6,4,5,2,7] => [1,4,2] => [4,2,1] => 3
[1,3,6,4,5,7,2] => [1,4,2] => [4,2,1] => 3
[1,3,6,4,7,2,5] => [1,3,3] => [3,3,1] => 3
[1,3,6,4,7,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,3,6,5,2,4,7] => [1,2,4] => [4,2,1] => 3
[1,3,6,5,2,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,3,6,5,4,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[1,3,6,5,4,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[1,3,6,5,7,2,4] => [1,2,4] => [4,2,1] => 3
[1,3,6,5,7,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,3,6,7,2,4,5] => [1,6] => [6,1] => 2
[1,3,6,7,2,5,4] => [1,5,1] => [5,1,1] => 3
[1,3,6,7,4,2,5] => [1,4,2] => [4,2,1] => 3
[1,3,6,7,4,5,2] => [1,5,1] => [5,1,1] => 3
[1,3,6,7,5,2,4] => [1,4,2] => [4,2,1] => 3
[1,3,6,7,5,4,2] => [1,4,1,1] => [4,1,1,1] => 4
[1,3,7,2,4,5,6] => [1,6] => [6,1] => 2
[1,3,7,2,4,6,5] => [1,5,1] => [5,1,1] => 3
[1,3,7,2,5,4,6] => [1,4,2] => [4,2,1] => 3
[1,3,7,2,5,6,4] => [1,5,1] => [5,1,1] => 3
[1,3,7,2,6,4,5] => [1,3,3] => [3,3,1] => 3
[1,3,7,2,6,5,4] => [1,3,2,1] => [3,2,1,1] => 4
[1,3,7,4,2,5,6] => [1,3,3] => [3,3,1] => 3
[1,3,7,4,2,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[1,3,7,4,5,2,6] => [1,4,2] => [4,2,1] => 3
[1,3,7,4,5,6,2] => [1,5,1] => [5,1,1] => 3
[1,3,7,4,6,2,5] => [1,3,3] => [3,3,1] => 3
[1,3,7,4,6,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,3,7,5,2,4,6] => [1,2,4] => [4,2,1] => 3
[1,3,7,5,2,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,3,7,5,4,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,3,7,5,4,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,3,7,5,6,2,4] => [1,2,4] => [4,2,1] => 3
[1,3,7,5,6,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,3,7,6,2,4,5] => [1,2,4] => [4,2,1] => 3
[1,3,7,6,2,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,3,7,6,4,2,5] => [1,2,2,2] => [2,2,2,1] => 4
[1,3,7,6,4,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,3,7,6,5,2,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,3,7,6,5,4,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[1,4,2,3,5,6,7] => [1,6] => [6,1] => 2
[1,4,2,3,5,7,6] => [1,4,2] => [4,2,1] => 3
[1,4,2,3,6,5,7] => [1,3,3] => [3,3,1] => 3
[1,4,2,3,6,7,5] => [1,3,3] => [3,3,1] => 3
[1,4,2,3,7,5,6] => [1,3,3] => [3,3,1] => 3
[1,4,2,3,7,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[1,4,2,5,3,6,7] => [1,2,4] => [4,2,1] => 3
[1,4,2,5,3,7,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,2,5,6,3,7] => [1,2,4] => [4,2,1] => 3
[1,4,2,5,6,7,3] => [1,2,4] => [4,2,1] => 3
[1,4,2,5,7,3,6] => [1,2,4] => [4,2,1] => 3
[1,4,2,5,7,6,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,2,6,3,5,7] => [1,2,4] => [4,2,1] => 3
[1,4,2,6,3,7,5] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,2,6,5,3,7] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,2,6,5,7,3] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,2,6,7,3,5] => [1,2,4] => [4,2,1] => 3
[1,4,2,6,7,5,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,2,7,3,5,6] => [1,2,4] => [4,2,1] => 3
[1,4,2,7,3,6,5] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,2,7,5,3,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,2,7,5,6,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,2,7,6,3,5] => [1,2,1,3] => [3,2,1,1] => 4
[1,4,2,7,6,5,3] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[1,4,3,2,5,6,7] => [1,2,4] => [4,2,1] => 3
[1,4,3,2,5,7,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,3,2,6,5,7] => [1,2,1,3] => [3,2,1,1] => 4
[1,4,3,2,6,7,5] => [1,2,1,3] => [3,2,1,1] => 4
[1,4,3,2,7,5,6] => [1,2,1,3] => [3,2,1,1] => 4
[1,4,3,2,7,6,5] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[1,4,3,5,2,6,7] => [1,2,4] => [4,2,1] => 3
[1,4,3,5,2,7,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,3,5,6,2,7] => [1,2,4] => [4,2,1] => 3
[1,4,3,5,6,7,2] => [1,2,4] => [4,2,1] => 3
[1,4,3,5,7,2,6] => [1,2,4] => [4,2,1] => 3
[1,4,3,5,7,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,3,6,2,5,7] => [1,2,4] => [4,2,1] => 3
[1,4,3,6,2,7,5] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,3,6,5,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,3,6,5,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,3,6,7,2,5] => [1,2,4] => [4,2,1] => 3
[1,4,3,6,7,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,3,7,2,5,6] => [1,2,4] => [4,2,1] => 3
[1,4,3,7,2,6,5] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,3,7,5,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,3,7,5,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,3,7,6,2,5] => [1,2,1,3] => [3,2,1,1] => 4
[1,4,3,7,6,5,2] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[1,4,5,2,3,6,7] => [1,6] => [6,1] => 2
[1,4,5,2,3,7,6] => [1,4,2] => [4,2,1] => 3
[1,4,5,2,6,3,7] => [1,3,3] => [3,3,1] => 3
[1,4,5,2,6,7,3] => [1,3,3] => [3,3,1] => 3
[1,4,5,2,7,3,6] => [1,3,3] => [3,3,1] => 3
[1,4,5,2,7,6,3] => [1,3,2,1] => [3,2,1,1] => 4
[1,4,5,3,2,6,7] => [1,3,3] => [3,3,1] => 3
[1,4,5,3,2,7,6] => [1,3,1,2] => [3,2,1,1] => 4
[1,4,5,3,6,2,7] => [1,3,3] => [3,3,1] => 3
[1,4,5,3,6,7,2] => [1,3,3] => [3,3,1] => 3
[1,4,5,3,7,2,6] => [1,3,3] => [3,3,1] => 3
[1,4,5,3,7,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,4,5,6,2,3,7] => [1,6] => [6,1] => 2
[1,4,5,6,2,7,3] => [1,4,2] => [4,2,1] => 3
[1,4,5,6,3,2,7] => [1,4,2] => [4,2,1] => 3
[1,4,5,6,3,7,2] => [1,4,2] => [4,2,1] => 3
[1,4,5,6,7,2,3] => [1,6] => [6,1] => 2
[1,4,5,6,7,3,2] => [1,5,1] => [5,1,1] => 3
[1,4,5,7,2,3,6] => [1,6] => [6,1] => 2
[1,4,5,7,2,6,3] => [1,5,1] => [5,1,1] => 3
[1,4,5,7,3,2,6] => [1,4,2] => [4,2,1] => 3
[1,4,5,7,3,6,2] => [1,5,1] => [5,1,1] => 3
[1,4,5,7,6,2,3] => [1,3,3] => [3,3,1] => 3
[1,4,5,7,6,3,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,4,6,2,3,5,7] => [1,6] => [6,1] => 2
[1,4,6,2,3,7,5] => [1,4,2] => [4,2,1] => 3
[1,4,6,2,5,3,7] => [1,4,2] => [4,2,1] => 3
[1,4,6,2,5,7,3] => [1,4,2] => [4,2,1] => 3
[1,4,6,2,7,3,5] => [1,3,3] => [3,3,1] => 3
[1,4,6,2,7,5,3] => [1,3,2,1] => [3,2,1,1] => 4
[1,4,6,3,2,5,7] => [1,3,3] => [3,3,1] => 3
[1,4,6,3,2,7,5] => [1,3,1,2] => [3,2,1,1] => 4
[1,4,6,3,5,2,7] => [1,4,2] => [4,2,1] => 3
[1,4,6,3,5,7,2] => [1,4,2] => [4,2,1] => 3
[1,4,6,3,7,2,5] => [1,3,3] => [3,3,1] => 3
[1,4,6,3,7,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,4,6,5,2,3,7] => [1,2,4] => [4,2,1] => 3
[1,4,6,5,2,7,3] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,6,5,3,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,6,5,3,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,6,5,7,2,3] => [1,2,4] => [4,2,1] => 3
[1,4,6,5,7,3,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,6,7,2,3,5] => [1,6] => [6,1] => 2
[1,4,6,7,2,5,3] => [1,5,1] => [5,1,1] => 3
[1,4,6,7,3,2,5] => [1,4,2] => [4,2,1] => 3
[1,4,6,7,3,5,2] => [1,5,1] => [5,1,1] => 3
[1,4,6,7,5,2,3] => [1,4,2] => [4,2,1] => 3
[1,4,6,7,5,3,2] => [1,4,1,1] => [4,1,1,1] => 4
[1,4,7,2,3,5,6] => [1,6] => [6,1] => 2
[1,4,7,2,3,6,5] => [1,5,1] => [5,1,1] => 3
[1,4,7,2,5,3,6] => [1,4,2] => [4,2,1] => 3
[1,4,7,2,5,6,3] => [1,5,1] => [5,1,1] => 3
[1,4,7,2,6,3,5] => [1,3,3] => [3,3,1] => 3
[1,4,7,2,6,5,3] => [1,3,2,1] => [3,2,1,1] => 4
[1,4,7,3,2,5,6] => [1,3,3] => [3,3,1] => 3
[1,4,7,3,2,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[1,4,7,3,5,2,6] => [1,4,2] => [4,2,1] => 3
[1,4,7,3,5,6,2] => [1,5,1] => [5,1,1] => 3
[1,4,7,3,6,2,5] => [1,3,3] => [3,3,1] => 3
[1,4,7,3,6,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,4,7,5,2,3,6] => [1,2,4] => [4,2,1] => 3
[1,4,7,5,2,6,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,7,5,3,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,7,5,3,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,7,5,6,2,3] => [1,2,4] => [4,2,1] => 3
[1,4,7,5,6,3,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,7,6,2,3,5] => [1,2,4] => [4,2,1] => 3
[1,4,7,6,2,5,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,7,6,3,2,5] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,7,6,3,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,4,7,6,5,2,3] => [1,2,2,2] => [2,2,2,1] => 4
[1,4,7,6,5,3,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[1,5,2,3,4,6,7] => [1,6] => [6,1] => 2
[1,5,2,3,4,7,6] => [1,4,2] => [4,2,1] => 3
[1,5,2,3,6,4,7] => [1,3,3] => [3,3,1] => 3
[1,5,2,3,6,7,4] => [1,3,3] => [3,3,1] => 3
[1,5,2,3,7,4,6] => [1,3,3] => [3,3,1] => 3
[1,5,2,3,7,6,4] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,2,4,3,6,7] => [1,3,3] => [3,3,1] => 3
[1,5,2,4,3,7,6] => [1,3,1,2] => [3,2,1,1] => 4
[1,5,2,4,6,3,7] => [1,3,3] => [3,3,1] => 3
[1,5,2,4,6,7,3] => [1,3,3] => [3,3,1] => 3
[1,5,2,4,7,3,6] => [1,3,3] => [3,3,1] => 3
[1,5,2,4,7,6,3] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,2,6,3,4,7] => [1,2,4] => [4,2,1] => 3
[1,5,2,6,3,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,5,2,6,4,3,7] => [1,2,2,2] => [2,2,2,1] => 4
[1,5,2,6,4,7,3] => [1,2,2,2] => [2,2,2,1] => 4
[1,5,2,6,7,3,4] => [1,2,4] => [4,2,1] => 3
[1,5,2,6,7,4,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,5,2,7,3,4,6] => [1,2,4] => [4,2,1] => 3
[1,5,2,7,3,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,5,2,7,4,3,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,5,2,7,4,6,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,5,2,7,6,3,4] => [1,2,1,3] => [3,2,1,1] => 4
[1,5,2,7,6,4,3] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[1,5,3,2,4,6,7] => [1,2,4] => [4,2,1] => 3
[1,5,3,2,4,7,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,5,3,2,6,4,7] => [1,2,1,3] => [3,2,1,1] => 4
[1,5,3,2,6,7,4] => [1,2,1,3] => [3,2,1,1] => 4
[1,5,3,2,7,4,6] => [1,2,1,3] => [3,2,1,1] => 4
[1,5,3,2,7,6,4] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[1,5,3,4,2,6,7] => [1,3,3] => [3,3,1] => 3
[1,5,3,4,2,7,6] => [1,3,1,2] => [3,2,1,1] => 4
[1,5,3,4,6,2,7] => [1,3,3] => [3,3,1] => 3
[1,5,3,4,6,7,2] => [1,3,3] => [3,3,1] => 3
[1,5,3,4,7,2,6] => [1,3,3] => [3,3,1] => 3
[1,5,3,4,7,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,3,6,2,4,7] => [1,2,4] => [4,2,1] => 3
[1,5,3,6,2,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,5,3,6,4,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[1,5,3,6,4,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[1,5,3,6,7,2,4] => [1,2,4] => [4,2,1] => 3
[1,5,3,6,7,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,5,3,7,2,4,6] => [1,2,4] => [4,2,1] => 3
[1,5,3,7,2,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,5,3,7,4,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,5,3,7,4,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,5,3,7,6,2,4] => [1,2,1,3] => [3,2,1,1] => 4
[1,5,3,7,6,4,2] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[1,5,4,2,3,6,7] => [1,1,5] => [5,1,1] => 3
[1,5,4,2,3,7,6] => [1,1,3,2] => [3,2,1,1] => 4
[1,5,4,2,6,3,7] => [1,1,2,3] => [3,2,1,1] => 4
[1,5,4,2,6,7,3] => [1,1,2,3] => [3,2,1,1] => 4
[1,5,4,2,7,3,6] => [1,1,2,3] => [3,2,1,1] => 4
[1,5,4,2,7,6,3] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,5,4,3,2,6,7] => [1,1,2,3] => [3,2,1,1] => 4
[1,5,4,3,2,7,6] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[1,5,4,3,6,2,7] => [1,1,2,3] => [3,2,1,1] => 4
[1,5,4,3,6,7,2] => [1,1,2,3] => [3,2,1,1] => 4
[1,5,4,3,7,2,6] => [1,1,2,3] => [3,2,1,1] => 4
[1,5,4,3,7,6,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,5,4,6,2,3,7] => [1,1,5] => [5,1,1] => 3
[1,5,4,6,2,7,3] => [1,1,3,2] => [3,2,1,1] => 4
[1,5,4,6,3,2,7] => [1,1,3,2] => [3,2,1,1] => 4
[1,5,4,6,3,7,2] => [1,1,3,2] => [3,2,1,1] => 4
[1,5,4,6,7,2,3] => [1,1,5] => [5,1,1] => 3
[1,5,4,6,7,3,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,5,4,7,2,3,6] => [1,1,5] => [5,1,1] => 3
[1,5,4,7,2,6,3] => [1,1,4,1] => [4,1,1,1] => 4
[1,5,4,7,3,2,6] => [1,1,3,2] => [3,2,1,1] => 4
[1,5,4,7,3,6,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,5,4,7,6,2,3] => [1,1,2,3] => [3,2,1,1] => 4
[1,5,4,7,6,3,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,5,6,2,3,4,7] => [1,6] => [6,1] => 2
[1,5,6,2,3,7,4] => [1,4,2] => [4,2,1] => 3
[1,5,6,2,4,3,7] => [1,4,2] => [4,2,1] => 3
[1,5,6,2,4,7,3] => [1,4,2] => [4,2,1] => 3
[1,5,6,2,7,3,4] => [1,3,3] => [3,3,1] => 3
[1,5,6,2,7,4,3] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,6,3,2,4,7] => [1,3,3] => [3,3,1] => 3
[1,5,6,3,2,7,4] => [1,3,1,2] => [3,2,1,1] => 4
[1,5,6,3,4,2,7] => [1,4,2] => [4,2,1] => 3
[1,5,6,3,4,7,2] => [1,4,2] => [4,2,1] => 3
[1,5,6,3,7,2,4] => [1,3,3] => [3,3,1] => 3
[1,5,6,3,7,4,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,6,4,2,3,7] => [1,3,3] => [3,3,1] => 3
[1,5,6,4,2,7,3] => [1,3,1,2] => [3,2,1,1] => 4
[1,5,6,4,3,2,7] => [1,3,1,2] => [3,2,1,1] => 4
[1,5,6,4,3,7,2] => [1,3,1,2] => [3,2,1,1] => 4
[1,5,6,4,7,2,3] => [1,3,3] => [3,3,1] => 3
[1,5,6,4,7,3,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,6,7,2,3,4] => [1,6] => [6,1] => 2
[1,5,6,7,2,4,3] => [1,5,1] => [5,1,1] => 3
[1,5,6,7,3,2,4] => [1,4,2] => [4,2,1] => 3
[1,5,6,7,3,4,2] => [1,5,1] => [5,1,1] => 3
[1,5,6,7,4,2,3] => [1,4,2] => [4,2,1] => 3
[1,5,6,7,4,3,2] => [1,4,1,1] => [4,1,1,1] => 4
[1,5,7,2,3,4,6] => [1,6] => [6,1] => 2
[1,5,7,2,3,6,4] => [1,5,1] => [5,1,1] => 3
[1,5,7,2,4,3,6] => [1,4,2] => [4,2,1] => 3
[1,5,7,2,4,6,3] => [1,5,1] => [5,1,1] => 3
[1,5,7,2,6,3,4] => [1,3,3] => [3,3,1] => 3
[1,5,7,2,6,4,3] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,7,3,2,4,6] => [1,3,3] => [3,3,1] => 3
[1,5,7,3,2,6,4] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,7,3,4,2,6] => [1,4,2] => [4,2,1] => 3
[1,5,7,3,4,6,2] => [1,5,1] => [5,1,1] => 3
[1,5,7,3,6,2,4] => [1,3,3] => [3,3,1] => 3
[1,5,7,3,6,4,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,7,4,2,3,6] => [1,3,3] => [3,3,1] => 3
[1,5,7,4,2,6,3] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,7,4,3,2,6] => [1,3,1,2] => [3,2,1,1] => 4
[1,5,7,4,3,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,7,4,6,2,3] => [1,3,3] => [3,3,1] => 3
[1,5,7,4,6,3,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,5,7,6,2,3,4] => [1,2,4] => [4,2,1] => 3
[1,5,7,6,2,4,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,5,7,6,3,2,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,5,7,6,3,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,5,7,6,4,2,3] => [1,2,2,2] => [2,2,2,1] => 4
[1,5,7,6,4,3,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[1,6,2,3,4,5,7] => [1,6] => [6,1] => 2
[1,6,2,3,4,7,5] => [1,4,2] => [4,2,1] => 3
[1,6,2,3,5,4,7] => [1,4,2] => [4,2,1] => 3
[1,6,2,3,5,7,4] => [1,4,2] => [4,2,1] => 3
[1,6,2,3,7,4,5] => [1,3,3] => [3,3,1] => 3
[1,6,2,3,7,5,4] => [1,3,2,1] => [3,2,1,1] => 4
[1,6,2,4,3,5,7] => [1,3,3] => [3,3,1] => 3
[1,6,2,4,3,7,5] => [1,3,1,2] => [3,2,1,1] => 4
[1,6,2,4,5,3,7] => [1,4,2] => [4,2,1] => 3
[1,6,2,4,5,7,3] => [1,4,2] => [4,2,1] => 3
[1,6,2,4,7,3,5] => [1,3,3] => [3,3,1] => 3
[1,6,2,4,7,5,3] => [1,3,2,1] => [3,2,1,1] => 4
[1,6,2,5,3,4,7] => [1,2,4] => [4,2,1] => 3
[1,6,2,5,3,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,2,5,4,3,7] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,2,5,4,7,3] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,2,5,7,3,4] => [1,2,4] => [4,2,1] => 3
[1,6,2,5,7,4,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,6,2,7,3,4,5] => [1,2,4] => [4,2,1] => 3
[1,6,2,7,3,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,6,2,7,4,3,5] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,2,7,4,5,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,6,2,7,5,3,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,2,7,5,4,3] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[1,6,3,2,4,5,7] => [1,2,4] => [4,2,1] => 3
[1,6,3,2,4,7,5] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,3,2,5,4,7] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,3,2,5,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,3,2,7,4,5] => [1,2,1,3] => [3,2,1,1] => 4
[1,6,3,2,7,5,4] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[1,6,3,4,2,5,7] => [1,3,3] => [3,3,1] => 3
[1,6,3,4,2,7,5] => [1,3,1,2] => [3,2,1,1] => 4
[1,6,3,4,5,2,7] => [1,4,2] => [4,2,1] => 3
[1,6,3,4,5,7,2] => [1,4,2] => [4,2,1] => 3
[1,6,3,4,7,2,5] => [1,3,3] => [3,3,1] => 3
[1,6,3,4,7,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,6,3,5,2,4,7] => [1,2,4] => [4,2,1] => 3
[1,6,3,5,2,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,3,5,4,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,3,5,4,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,3,5,7,2,4] => [1,2,4] => [4,2,1] => 3
[1,6,3,5,7,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,6,3,7,2,4,5] => [1,2,4] => [4,2,1] => 3
[1,6,3,7,2,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,6,3,7,4,2,5] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,3,7,4,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,6,3,7,5,2,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,3,7,5,4,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[1,6,4,2,3,5,7] => [1,1,5] => [5,1,1] => 3
[1,6,4,2,3,7,5] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,4,2,5,3,7] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,4,2,5,7,3] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,4,2,7,3,5] => [1,1,2,3] => [3,2,1,1] => 4
[1,6,4,2,7,5,3] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,6,4,3,2,5,7] => [1,1,2,3] => [3,2,1,1] => 4
[1,6,4,3,2,7,5] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[1,6,4,3,5,2,7] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,4,3,5,7,2] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,4,3,7,2,5] => [1,1,2,3] => [3,2,1,1] => 4
[1,6,4,3,7,5,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,6,4,5,2,3,7] => [1,1,5] => [5,1,1] => 3
[1,6,4,5,2,7,3] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,4,5,3,2,7] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,4,5,3,7,2] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,4,5,7,2,3] => [1,1,5] => [5,1,1] => 3
[1,6,4,5,7,3,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,6,4,7,2,3,5] => [1,1,5] => [5,1,1] => 3
[1,6,4,7,2,5,3] => [1,1,4,1] => [4,1,1,1] => 4
[1,6,4,7,3,2,5] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,4,7,3,5,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,6,4,7,5,2,3] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,4,7,5,3,2] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[1,6,5,2,3,4,7] => [1,1,5] => [5,1,1] => 3
[1,6,5,2,3,7,4] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,5,2,4,3,7] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,5,2,4,7,3] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,5,2,7,3,4] => [1,1,2,3] => [3,2,1,1] => 4
[1,6,5,2,7,4,3] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,6,5,3,2,4,7] => [1,1,2,3] => [3,2,1,1] => 4
[1,6,5,3,2,7,4] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[1,6,5,3,4,2,7] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,5,3,4,7,2] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,5,3,7,2,4] => [1,1,2,3] => [3,2,1,1] => 4
[1,6,5,3,7,4,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,6,5,4,2,3,7] => [1,1,2,3] => [3,2,1,1] => 4
[1,6,5,4,2,7,3] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[1,6,5,4,3,2,7] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[1,6,5,4,3,7,2] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[1,6,5,4,7,2,3] => [1,1,2,3] => [3,2,1,1] => 4
[1,6,5,4,7,3,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,6,5,7,2,3,4] => [1,1,5] => [5,1,1] => 3
[1,6,5,7,2,4,3] => [1,1,4,1] => [4,1,1,1] => 4
[1,6,5,7,3,2,4] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,5,7,3,4,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,6,5,7,4,2,3] => [1,1,3,2] => [3,2,1,1] => 4
[1,6,5,7,4,3,2] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[1,6,7,2,3,4,5] => [1,6] => [6,1] => 2
[1,6,7,2,3,5,4] => [1,5,1] => [5,1,1] => 3
[1,6,7,2,4,3,5] => [1,4,2] => [4,2,1] => 3
[1,6,7,2,4,5,3] => [1,5,1] => [5,1,1] => 3
[1,6,7,2,5,3,4] => [1,4,2] => [4,2,1] => 3
[1,6,7,2,5,4,3] => [1,4,1,1] => [4,1,1,1] => 4
[1,6,7,3,2,4,5] => [1,3,3] => [3,3,1] => 3
[1,6,7,3,2,5,4] => [1,3,2,1] => [3,2,1,1] => 4
[1,6,7,3,4,2,5] => [1,4,2] => [4,2,1] => 3
[1,6,7,3,4,5,2] => [1,5,1] => [5,1,1] => 3
[1,6,7,3,5,2,4] => [1,4,2] => [4,2,1] => 3
[1,6,7,3,5,4,2] => [1,4,1,1] => [4,1,1,1] => 4
[1,6,7,4,2,3,5] => [1,3,3] => [3,3,1] => 3
[1,6,7,4,2,5,3] => [1,3,2,1] => [3,2,1,1] => 4
[1,6,7,4,3,2,5] => [1,3,1,2] => [3,2,1,1] => 4
[1,6,7,4,3,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,6,7,4,5,2,3] => [1,4,2] => [4,2,1] => 3
[1,6,7,4,5,3,2] => [1,4,1,1] => [4,1,1,1] => 4
[1,6,7,5,2,3,4] => [1,2,4] => [4,2,1] => 3
[1,6,7,5,2,4,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,6,7,5,3,2,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,7,5,3,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,6,7,5,4,2,3] => [1,2,2,2] => [2,2,2,1] => 4
[1,6,7,5,4,3,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[1,7,2,3,4,5,6] => [1,6] => [6,1] => 2
[1,7,2,3,4,6,5] => [1,5,1] => [5,1,1] => 3
[1,7,2,3,5,4,6] => [1,4,2] => [4,2,1] => 3
[1,7,2,3,5,6,4] => [1,5,1] => [5,1,1] => 3
[1,7,2,3,6,4,5] => [1,3,3] => [3,3,1] => 3
[1,7,2,3,6,5,4] => [1,3,2,1] => [3,2,1,1] => 4
[1,7,2,4,3,5,6] => [1,3,3] => [3,3,1] => 3
[1,7,2,4,3,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[1,7,2,4,5,3,6] => [1,4,2] => [4,2,1] => 3
[1,7,2,4,5,6,3] => [1,5,1] => [5,1,1] => 3
[1,7,2,4,6,3,5] => [1,3,3] => [3,3,1] => 3
[1,7,2,4,6,5,3] => [1,3,2,1] => [3,2,1,1] => 4
[1,7,2,5,3,4,6] => [1,2,4] => [4,2,1] => 3
[1,7,2,5,3,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,2,5,4,3,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,7,2,5,4,6,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,2,5,6,3,4] => [1,2,4] => [4,2,1] => 3
[1,7,2,5,6,4,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,2,6,3,4,5] => [1,2,4] => [4,2,1] => 3
[1,7,2,6,3,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,2,6,4,3,5] => [1,2,2,2] => [2,2,2,1] => 4
[1,7,2,6,4,5,3] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,2,6,5,3,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,7,2,6,5,4,3] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[1,7,3,2,4,5,6] => [1,2,4] => [4,2,1] => 3
[1,7,3,2,4,6,5] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,3,2,5,4,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,7,3,2,5,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,3,2,6,4,5] => [1,2,1,3] => [3,2,1,1] => 4
[1,7,3,2,6,5,4] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[1,7,3,4,2,5,6] => [1,3,3] => [3,3,1] => 3
[1,7,3,4,2,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[1,7,3,4,5,2,6] => [1,4,2] => [4,2,1] => 3
[1,7,3,4,5,6,2] => [1,5,1] => [5,1,1] => 3
[1,7,3,4,6,2,5] => [1,3,3] => [3,3,1] => 3
[1,7,3,4,6,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[1,7,3,5,2,4,6] => [1,2,4] => [4,2,1] => 3
[1,7,3,5,2,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,3,5,4,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[1,7,3,5,4,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,3,5,6,2,4] => [1,2,4] => [4,2,1] => 3
[1,7,3,5,6,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,3,6,2,4,5] => [1,2,4] => [4,2,1] => 3
[1,7,3,6,2,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,3,6,4,2,5] => [1,2,2,2] => [2,2,2,1] => 4
[1,7,3,6,4,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[1,7,3,6,5,2,4] => [1,2,2,2] => [2,2,2,1] => 4
[1,7,3,6,5,4,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[1,7,4,2,3,5,6] => [1,1,5] => [5,1,1] => 3
[1,7,4,2,3,6,5] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,4,2,5,3,6] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,4,2,5,6,3] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,4,2,6,3,5] => [1,1,2,3] => [3,2,1,1] => 4
[1,7,4,2,6,5,3] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,4,3,2,5,6] => [1,1,2,3] => [3,2,1,1] => 4
[1,7,4,3,2,6,5] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,4,3,5,2,6] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,4,3,5,6,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,4,3,6,2,5] => [1,1,2,3] => [3,2,1,1] => 4
[1,7,4,3,6,5,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,4,5,2,3,6] => [1,1,5] => [5,1,1] => 3
[1,7,4,5,2,6,3] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,4,5,3,2,6] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,4,5,3,6,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,4,5,6,2,3] => [1,1,5] => [5,1,1] => 3
[1,7,4,5,6,3,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,4,6,2,3,5] => [1,1,5] => [5,1,1] => 3
[1,7,4,6,2,5,3] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,4,6,3,2,5] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,4,6,3,5,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,4,6,5,2,3] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,4,6,5,3,2] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[1,7,5,2,3,4,6] => [1,1,5] => [5,1,1] => 3
[1,7,5,2,3,6,4] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,5,2,4,3,6] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,5,2,4,6,3] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,5,2,6,3,4] => [1,1,2,3] => [3,2,1,1] => 4
[1,7,5,2,6,4,3] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,5,3,2,4,6] => [1,1,2,3] => [3,2,1,1] => 4
[1,7,5,3,2,6,4] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,5,3,4,2,6] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,5,3,4,6,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,5,3,6,2,4] => [1,1,2,3] => [3,2,1,1] => 4
[1,7,5,3,6,4,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,5,4,2,3,6] => [1,1,2,3] => [3,2,1,1] => 4
[1,7,5,4,2,6,3] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,5,4,3,2,6] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[1,7,5,4,3,6,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,5,4,6,2,3] => [1,1,2,3] => [3,2,1,1] => 4
[1,7,5,4,6,3,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,5,6,2,3,4] => [1,1,5] => [5,1,1] => 3
[1,7,5,6,2,4,3] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,5,6,3,2,4] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,5,6,3,4,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,5,6,4,2,3] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,5,6,4,3,2] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[1,7,6,2,3,4,5] => [1,1,5] => [5,1,1] => 3
[1,7,6,2,3,5,4] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,6,2,4,3,5] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,6,2,4,5,3] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,6,2,5,3,4] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,6,2,5,4,3] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[1,7,6,3,2,4,5] => [1,1,2,3] => [3,2,1,1] => 4
[1,7,6,3,2,5,4] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,6,3,4,2,5] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,6,3,4,5,2] => [1,1,4,1] => [4,1,1,1] => 4
[1,7,6,3,5,2,4] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,6,3,5,4,2] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[1,7,6,4,2,3,5] => [1,1,2,3] => [3,2,1,1] => 4
[1,7,6,4,2,5,3] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,6,4,3,2,5] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[1,7,6,4,3,5,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[1,7,6,4,5,2,3] => [1,1,3,2] => [3,2,1,1] => 4
[1,7,6,4,5,3,2] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[1,7,6,5,2,3,4] => [1,1,1,4] => [4,1,1,1] => 4
[1,7,6,5,2,4,3] => [1,1,1,3,1] => [3,1,1,1,1] => 5
[1,7,6,5,3,2,4] => [1,1,1,2,2] => [2,2,1,1,1] => 5
[1,7,6,5,3,4,2] => [1,1,1,3,1] => [3,1,1,1,1] => 5
[1,7,6,5,4,2,3] => [1,1,1,2,2] => [2,2,1,1,1] => 5
[1,7,6,5,4,3,2] => [1,1,1,2,1,1] => [2,1,1,1,1,1] => 6
[2,1,3,4,5,6,7] => [7] => [7] => 1
[2,1,3,4,5,7,6] => [5,2] => [5,2] => 2
[2,1,3,4,6,5,7] => [4,3] => [4,3] => 2
[2,1,3,4,6,7,5] => [4,3] => [4,3] => 2
[2,1,3,4,7,5,6] => [4,3] => [4,3] => 2
[2,1,3,4,7,6,5] => [4,2,1] => [4,2,1] => 3
[2,1,3,5,4,6,7] => [3,4] => [4,3] => 2
[2,1,3,5,4,7,6] => [3,2,2] => [3,2,2] => 3
[2,1,3,5,6,4,7] => [3,4] => [4,3] => 2
[2,1,3,5,6,7,4] => [3,4] => [4,3] => 2
[2,1,3,5,7,4,6] => [3,4] => [4,3] => 2
[2,1,3,5,7,6,4] => [3,3,1] => [3,3,1] => 3
[2,1,3,6,4,5,7] => [3,4] => [4,3] => 2
[2,1,3,6,4,7,5] => [3,2,2] => [3,2,2] => 3
[2,1,3,6,5,4,7] => [3,2,2] => [3,2,2] => 3
[2,1,3,6,5,7,4] => [3,2,2] => [3,2,2] => 3
[2,1,3,6,7,4,5] => [3,4] => [4,3] => 2
[2,1,3,6,7,5,4] => [3,3,1] => [3,3,1] => 3
[2,1,3,7,4,5,6] => [3,4] => [4,3] => 2
[2,1,3,7,4,6,5] => [3,3,1] => [3,3,1] => 3
[2,1,3,7,5,4,6] => [3,2,2] => [3,2,2] => 3
[2,1,3,7,5,6,4] => [3,3,1] => [3,3,1] => 3
[2,1,3,7,6,4,5] => [3,1,3] => [3,3,1] => 3
[2,1,3,7,6,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[2,1,4,3,5,6,7] => [2,5] => [5,2] => 2
[2,1,4,3,5,7,6] => [2,3,2] => [3,2,2] => 3
[2,1,4,3,6,5,7] => [2,2,3] => [3,2,2] => 3
[2,1,4,3,6,7,5] => [2,2,3] => [3,2,2] => 3
[2,1,4,3,7,5,6] => [2,2,3] => [3,2,2] => 3
[2,1,4,3,7,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[2,1,4,5,3,6,7] => [2,5] => [5,2] => 2
[2,1,4,5,3,7,6] => [2,3,2] => [3,2,2] => 3
[2,1,4,5,6,3,7] => [2,5] => [5,2] => 2
[2,1,4,5,6,7,3] => [2,5] => [5,2] => 2
[2,1,4,5,7,3,6] => [2,5] => [5,2] => 2
[2,1,4,5,7,6,3] => [2,4,1] => [4,2,1] => 3
[2,1,4,6,3,5,7] => [2,5] => [5,2] => 2
[2,1,4,6,3,7,5] => [2,3,2] => [3,2,2] => 3
[2,1,4,6,5,3,7] => [2,3,2] => [3,2,2] => 3
[2,1,4,6,5,7,3] => [2,3,2] => [3,2,2] => 3
[2,1,4,6,7,3,5] => [2,5] => [5,2] => 2
[2,1,4,6,7,5,3] => [2,4,1] => [4,2,1] => 3
[2,1,4,7,3,5,6] => [2,5] => [5,2] => 2
[2,1,4,7,3,6,5] => [2,4,1] => [4,2,1] => 3
[2,1,4,7,5,3,6] => [2,3,2] => [3,2,2] => 3
[2,1,4,7,5,6,3] => [2,4,1] => [4,2,1] => 3
[2,1,4,7,6,3,5] => [2,2,3] => [3,2,2] => 3
[2,1,4,7,6,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,1,5,3,4,6,7] => [2,5] => [5,2] => 2
[2,1,5,3,4,7,6] => [2,3,2] => [3,2,2] => 3
[2,1,5,3,6,4,7] => [2,2,3] => [3,2,2] => 3
[2,1,5,3,6,7,4] => [2,2,3] => [3,2,2] => 3
[2,1,5,3,7,4,6] => [2,2,3] => [3,2,2] => 3
[2,1,5,3,7,6,4] => [2,2,2,1] => [2,2,2,1] => 4
[2,1,5,4,3,6,7] => [2,2,3] => [3,2,2] => 3
[2,1,5,4,3,7,6] => [2,2,1,2] => [2,2,2,1] => 4
[2,1,5,4,6,3,7] => [2,2,3] => [3,2,2] => 3
[2,1,5,4,6,7,3] => [2,2,3] => [3,2,2] => 3
[2,1,5,4,7,3,6] => [2,2,3] => [3,2,2] => 3
[2,1,5,4,7,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,1,5,6,3,4,7] => [2,5] => [5,2] => 2
[2,1,5,6,3,7,4] => [2,3,2] => [3,2,2] => 3
[2,1,5,6,4,3,7] => [2,3,2] => [3,2,2] => 3
[2,1,5,6,4,7,3] => [2,3,2] => [3,2,2] => 3
[2,1,5,6,7,3,4] => [2,5] => [5,2] => 2
[2,1,5,6,7,4,3] => [2,4,1] => [4,2,1] => 3
[2,1,5,7,3,4,6] => [2,5] => [5,2] => 2
[2,1,5,7,3,6,4] => [2,4,1] => [4,2,1] => 3
[2,1,5,7,4,3,6] => [2,3,2] => [3,2,2] => 3
[2,1,5,7,4,6,3] => [2,4,1] => [4,2,1] => 3
[2,1,5,7,6,3,4] => [2,2,3] => [3,2,2] => 3
[2,1,5,7,6,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,1,6,3,4,5,7] => [2,5] => [5,2] => 2
[2,1,6,3,4,7,5] => [2,3,2] => [3,2,2] => 3
[2,1,6,3,5,4,7] => [2,3,2] => [3,2,2] => 3
[2,1,6,3,5,7,4] => [2,3,2] => [3,2,2] => 3
[2,1,6,3,7,4,5] => [2,2,3] => [3,2,2] => 3
[2,1,6,3,7,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[2,1,6,4,3,5,7] => [2,2,3] => [3,2,2] => 3
[2,1,6,4,3,7,5] => [2,2,1,2] => [2,2,2,1] => 4
[2,1,6,4,5,3,7] => [2,3,2] => [3,2,2] => 3
[2,1,6,4,5,7,3] => [2,3,2] => [3,2,2] => 3
[2,1,6,4,7,3,5] => [2,2,3] => [3,2,2] => 3
[2,1,6,4,7,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,1,6,5,3,4,7] => [2,1,4] => [4,2,1] => 3
[2,1,6,5,3,7,4] => [2,1,2,2] => [2,2,2,1] => 4
[2,1,6,5,4,3,7] => [2,1,2,2] => [2,2,2,1] => 4
[2,1,6,5,4,7,3] => [2,1,2,2] => [2,2,2,1] => 4
[2,1,6,5,7,3,4] => [2,1,4] => [4,2,1] => 3
[2,1,6,5,7,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[2,1,6,7,3,4,5] => [2,5] => [5,2] => 2
[2,1,6,7,3,5,4] => [2,4,1] => [4,2,1] => 3
[2,1,6,7,4,3,5] => [2,3,2] => [3,2,2] => 3
[2,1,6,7,4,5,3] => [2,4,1] => [4,2,1] => 3
[2,1,6,7,5,3,4] => [2,3,2] => [3,2,2] => 3
[2,1,6,7,5,4,3] => [2,3,1,1] => [3,2,1,1] => 4
[2,1,7,3,4,5,6] => [2,5] => [5,2] => 2
[2,1,7,3,4,6,5] => [2,4,1] => [4,2,1] => 3
[2,1,7,3,5,4,6] => [2,3,2] => [3,2,2] => 3
[2,1,7,3,5,6,4] => [2,4,1] => [4,2,1] => 3
[2,1,7,3,6,4,5] => [2,2,3] => [3,2,2] => 3
[2,1,7,3,6,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[2,1,7,4,3,5,6] => [2,2,3] => [3,2,2] => 3
[2,1,7,4,3,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[2,1,7,4,5,3,6] => [2,3,2] => [3,2,2] => 3
[2,1,7,4,5,6,3] => [2,4,1] => [4,2,1] => 3
[2,1,7,4,6,3,5] => [2,2,3] => [3,2,2] => 3
[2,1,7,4,6,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,1,7,5,3,4,6] => [2,1,4] => [4,2,1] => 3
[2,1,7,5,3,6,4] => [2,1,3,1] => [3,2,1,1] => 4
[2,1,7,5,4,3,6] => [2,1,2,2] => [2,2,2,1] => 4
[2,1,7,5,4,6,3] => [2,1,3,1] => [3,2,1,1] => 4
[2,1,7,5,6,3,4] => [2,1,4] => [4,2,1] => 3
[2,1,7,5,6,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[2,1,7,6,3,4,5] => [2,1,4] => [4,2,1] => 3
[2,1,7,6,3,5,4] => [2,1,3,1] => [3,2,1,1] => 4
[2,1,7,6,4,3,5] => [2,1,2,2] => [2,2,2,1] => 4
[2,1,7,6,4,5,3] => [2,1,3,1] => [3,2,1,1] => 4
[2,1,7,6,5,3,4] => [2,1,2,2] => [2,2,2,1] => 4
[2,1,7,6,5,4,3] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[2,3,1,4,5,6,7] => [7] => [7] => 1
[2,3,1,4,5,7,6] => [5,2] => [5,2] => 2
[2,3,1,4,6,5,7] => [4,3] => [4,3] => 2
[2,3,1,4,6,7,5] => [4,3] => [4,3] => 2
[2,3,1,4,7,5,6] => [4,3] => [4,3] => 2
[2,3,1,4,7,6,5] => [4,2,1] => [4,2,1] => 3
[2,3,1,5,4,6,7] => [3,4] => [4,3] => 2
[2,3,1,5,4,7,6] => [3,2,2] => [3,2,2] => 3
[2,3,1,5,6,4,7] => [3,4] => [4,3] => 2
[2,3,1,5,6,7,4] => [3,4] => [4,3] => 2
[2,3,1,5,7,4,6] => [3,4] => [4,3] => 2
[2,3,1,5,7,6,4] => [3,3,1] => [3,3,1] => 3
[2,3,1,6,4,5,7] => [3,4] => [4,3] => 2
[2,3,1,6,4,7,5] => [3,2,2] => [3,2,2] => 3
[2,3,1,6,5,4,7] => [3,2,2] => [3,2,2] => 3
[2,3,1,6,5,7,4] => [3,2,2] => [3,2,2] => 3
[2,3,1,6,7,4,5] => [3,4] => [4,3] => 2
[2,3,1,6,7,5,4] => [3,3,1] => [3,3,1] => 3
[2,3,1,7,4,5,6] => [3,4] => [4,3] => 2
[2,3,1,7,4,6,5] => [3,3,1] => [3,3,1] => 3
[2,3,1,7,5,4,6] => [3,2,2] => [3,2,2] => 3
[2,3,1,7,5,6,4] => [3,3,1] => [3,3,1] => 3
[2,3,1,7,6,4,5] => [3,1,3] => [3,3,1] => 3
[2,3,1,7,6,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[2,3,4,1,5,6,7] => [7] => [7] => 1
[2,3,4,1,5,7,6] => [5,2] => [5,2] => 2
[2,3,4,1,6,5,7] => [4,3] => [4,3] => 2
[2,3,4,1,6,7,5] => [4,3] => [4,3] => 2
[2,3,4,1,7,5,6] => [4,3] => [4,3] => 2
[2,3,4,1,7,6,5] => [4,2,1] => [4,2,1] => 3
[2,3,4,5,1,6,7] => [7] => [7] => 1
[2,3,4,5,1,7,6] => [5,2] => [5,2] => 2
[2,3,4,5,6,1,7] => [7] => [7] => 1
[2,3,4,5,6,7,1] => [7] => [7] => 1
[2,3,4,5,7,1,6] => [7] => [7] => 1
[2,3,4,5,7,6,1] => [6,1] => [6,1] => 2
[2,3,4,6,1,5,7] => [7] => [7] => 1
[2,3,4,6,1,7,5] => [5,2] => [5,2] => 2
[2,3,4,6,5,1,7] => [5,2] => [5,2] => 2
[2,3,4,6,5,7,1] => [5,2] => [5,2] => 2
[2,3,4,6,7,1,5] => [7] => [7] => 1
[2,3,4,6,7,5,1] => [6,1] => [6,1] => 2
[2,3,4,7,1,5,6] => [7] => [7] => 1
[2,3,4,7,1,6,5] => [6,1] => [6,1] => 2
[2,3,4,7,5,1,6] => [5,2] => [5,2] => 2
[2,3,4,7,5,6,1] => [6,1] => [6,1] => 2
[2,3,4,7,6,1,5] => [4,3] => [4,3] => 2
[2,3,4,7,6,5,1] => [4,2,1] => [4,2,1] => 3
[2,3,5,1,4,6,7] => [7] => [7] => 1
[2,3,5,1,4,7,6] => [5,2] => [5,2] => 2
[2,3,5,1,6,4,7] => [4,3] => [4,3] => 2
[2,3,5,1,6,7,4] => [4,3] => [4,3] => 2
[2,3,5,1,7,4,6] => [4,3] => [4,3] => 2
[2,3,5,1,7,6,4] => [4,2,1] => [4,2,1] => 3
[2,3,5,4,1,6,7] => [4,3] => [4,3] => 2
[2,3,5,4,1,7,6] => [4,1,2] => [4,2,1] => 3
[2,3,5,4,6,1,7] => [4,3] => [4,3] => 2
[2,3,5,4,6,7,1] => [4,3] => [4,3] => 2
[2,3,5,4,7,1,6] => [4,3] => [4,3] => 2
[2,3,5,4,7,6,1] => [4,2,1] => [4,2,1] => 3
[2,3,5,6,1,4,7] => [7] => [7] => 1
[2,3,5,6,1,7,4] => [5,2] => [5,2] => 2
[2,3,5,6,4,1,7] => [5,2] => [5,2] => 2
[2,3,5,6,4,7,1] => [5,2] => [5,2] => 2
[2,3,5,6,7,1,4] => [7] => [7] => 1
[2,3,5,6,7,4,1] => [6,1] => [6,1] => 2
[2,3,5,7,1,4,6] => [7] => [7] => 1
[2,3,5,7,1,6,4] => [6,1] => [6,1] => 2
[2,3,5,7,4,1,6] => [5,2] => [5,2] => 2
[2,3,5,7,4,6,1] => [6,1] => [6,1] => 2
[2,3,5,7,6,1,4] => [4,3] => [4,3] => 2
[2,3,5,7,6,4,1] => [4,2,1] => [4,2,1] => 3
[2,3,6,1,4,5,7] => [7] => [7] => 1
[2,3,6,1,4,7,5] => [5,2] => [5,2] => 2
[2,3,6,1,5,4,7] => [5,2] => [5,2] => 2
[2,3,6,1,5,7,4] => [5,2] => [5,2] => 2
[2,3,6,1,7,4,5] => [4,3] => [4,3] => 2
[2,3,6,1,7,5,4] => [4,2,1] => [4,2,1] => 3
[2,3,6,4,1,5,7] => [4,3] => [4,3] => 2
[2,3,6,4,1,7,5] => [4,1,2] => [4,2,1] => 3
[2,3,6,4,5,1,7] => [5,2] => [5,2] => 2
[2,3,6,4,5,7,1] => [5,2] => [5,2] => 2
[2,3,6,4,7,1,5] => [4,3] => [4,3] => 2
[2,3,6,4,7,5,1] => [4,2,1] => [4,2,1] => 3
[2,3,6,5,1,4,7] => [3,4] => [4,3] => 2
[2,3,6,5,1,7,4] => [3,2,2] => [3,2,2] => 3
[2,3,6,5,4,1,7] => [3,2,2] => [3,2,2] => 3
[2,3,6,5,4,7,1] => [3,2,2] => [3,2,2] => 3
[2,3,6,5,7,1,4] => [3,4] => [4,3] => 2
[2,3,6,5,7,4,1] => [3,3,1] => [3,3,1] => 3
[2,3,6,7,1,4,5] => [7] => [7] => 1
[2,3,6,7,1,5,4] => [6,1] => [6,1] => 2
[2,3,6,7,4,1,5] => [5,2] => [5,2] => 2
[2,3,6,7,4,5,1] => [6,1] => [6,1] => 2
[2,3,6,7,5,1,4] => [5,2] => [5,2] => 2
[2,3,6,7,5,4,1] => [5,1,1] => [5,1,1] => 3
[2,3,7,1,4,5,6] => [7] => [7] => 1
[2,3,7,1,4,6,5] => [6,1] => [6,1] => 2
[2,3,7,1,5,4,6] => [5,2] => [5,2] => 2
[2,3,7,1,5,6,4] => [6,1] => [6,1] => 2
[2,3,7,1,6,4,5] => [4,3] => [4,3] => 2
[2,3,7,1,6,5,4] => [4,2,1] => [4,2,1] => 3
[2,3,7,4,1,5,6] => [4,3] => [4,3] => 2
[2,3,7,4,1,6,5] => [4,2,1] => [4,2,1] => 3
[2,3,7,4,5,1,6] => [5,2] => [5,2] => 2
[2,3,7,4,5,6,1] => [6,1] => [6,1] => 2
[2,3,7,4,6,1,5] => [4,3] => [4,3] => 2
[2,3,7,4,6,5,1] => [4,2,1] => [4,2,1] => 3
[2,3,7,5,1,4,6] => [3,4] => [4,3] => 2
[2,3,7,5,1,6,4] => [3,3,1] => [3,3,1] => 3
[2,3,7,5,4,1,6] => [3,2,2] => [3,2,2] => 3
[2,3,7,5,4,6,1] => [3,3,1] => [3,3,1] => 3
[2,3,7,5,6,1,4] => [3,4] => [4,3] => 2
[2,3,7,5,6,4,1] => [3,3,1] => [3,3,1] => 3
[2,3,7,6,1,4,5] => [3,4] => [4,3] => 2
[2,3,7,6,1,5,4] => [3,3,1] => [3,3,1] => 3
[2,3,7,6,4,1,5] => [3,2,2] => [3,2,2] => 3
[2,3,7,6,4,5,1] => [3,3,1] => [3,3,1] => 3
[2,3,7,6,5,1,4] => [3,2,2] => [3,2,2] => 3
[2,3,7,6,5,4,1] => [3,2,1,1] => [3,2,1,1] => 4
[2,4,1,3,5,6,7] => [7] => [7] => 1
[2,4,1,3,5,7,6] => [5,2] => [5,2] => 2
[2,4,1,3,6,5,7] => [4,3] => [4,3] => 2
[2,4,1,3,6,7,5] => [4,3] => [4,3] => 2
[2,4,1,3,7,5,6] => [4,3] => [4,3] => 2
[2,4,1,3,7,6,5] => [4,2,1] => [4,2,1] => 3
[2,4,1,5,3,6,7] => [3,4] => [4,3] => 2
[2,4,1,5,3,7,6] => [3,2,2] => [3,2,2] => 3
[2,4,1,5,6,3,7] => [3,4] => [4,3] => 2
[2,4,1,5,6,7,3] => [3,4] => [4,3] => 2
[2,4,1,5,7,3,6] => [3,4] => [4,3] => 2
[2,4,1,5,7,6,3] => [3,3,1] => [3,3,1] => 3
[2,4,1,6,3,5,7] => [3,4] => [4,3] => 2
[2,4,1,6,3,7,5] => [3,2,2] => [3,2,2] => 3
[2,4,1,6,5,3,7] => [3,2,2] => [3,2,2] => 3
[2,4,1,6,5,7,3] => [3,2,2] => [3,2,2] => 3
[2,4,1,6,7,3,5] => [3,4] => [4,3] => 2
[2,4,1,6,7,5,3] => [3,3,1] => [3,3,1] => 3
[2,4,1,7,3,5,6] => [3,4] => [4,3] => 2
[2,4,1,7,3,6,5] => [3,3,1] => [3,3,1] => 3
[2,4,1,7,5,3,6] => [3,2,2] => [3,2,2] => 3
[2,4,1,7,5,6,3] => [3,3,1] => [3,3,1] => 3
[2,4,1,7,6,3,5] => [3,1,3] => [3,3,1] => 3
[2,4,1,7,6,5,3] => [3,1,2,1] => [3,2,1,1] => 4
[2,4,3,1,5,6,7] => [3,4] => [4,3] => 2
[2,4,3,1,5,7,6] => [3,2,2] => [3,2,2] => 3
[2,4,3,1,6,5,7] => [3,1,3] => [3,3,1] => 3
[2,4,3,1,6,7,5] => [3,1,3] => [3,3,1] => 3
[2,4,3,1,7,5,6] => [3,1,3] => [3,3,1] => 3
[2,4,3,1,7,6,5] => [3,1,2,1] => [3,2,1,1] => 4
[2,4,3,5,1,6,7] => [3,4] => [4,3] => 2
[2,4,3,5,1,7,6] => [3,2,2] => [3,2,2] => 3
[2,4,3,5,6,1,7] => [3,4] => [4,3] => 2
[2,4,3,5,6,7,1] => [3,4] => [4,3] => 2
[2,4,3,5,7,1,6] => [3,4] => [4,3] => 2
[2,4,3,5,7,6,1] => [3,3,1] => [3,3,1] => 3
[2,4,3,6,1,5,7] => [3,4] => [4,3] => 2
[2,4,3,6,1,7,5] => [3,2,2] => [3,2,2] => 3
[2,4,3,6,5,1,7] => [3,2,2] => [3,2,2] => 3
[2,4,3,6,5,7,1] => [3,2,2] => [3,2,2] => 3
[2,4,3,6,7,1,5] => [3,4] => [4,3] => 2
[2,4,3,6,7,5,1] => [3,3,1] => [3,3,1] => 3
[2,4,3,7,1,5,6] => [3,4] => [4,3] => 2
[2,4,3,7,1,6,5] => [3,3,1] => [3,3,1] => 3
[2,4,3,7,5,1,6] => [3,2,2] => [3,2,2] => 3
[2,4,3,7,5,6,1] => [3,3,1] => [3,3,1] => 3
[2,4,3,7,6,1,5] => [3,1,3] => [3,3,1] => 3
[2,4,3,7,6,5,1] => [3,1,2,1] => [3,2,1,1] => 4
[2,4,5,1,3,6,7] => [7] => [7] => 1
[2,4,5,1,3,7,6] => [5,2] => [5,2] => 2
[2,4,5,1,6,3,7] => [4,3] => [4,3] => 2
[2,4,5,1,6,7,3] => [4,3] => [4,3] => 2
[2,4,5,1,7,3,6] => [4,3] => [4,3] => 2
[2,4,5,1,7,6,3] => [4,2,1] => [4,2,1] => 3
[2,4,5,3,1,6,7] => [4,3] => [4,3] => 2
[2,4,5,3,1,7,6] => [4,1,2] => [4,2,1] => 3
[2,4,5,3,6,1,7] => [4,3] => [4,3] => 2
[2,4,5,3,6,7,1] => [4,3] => [4,3] => 2
[2,4,5,3,7,1,6] => [4,3] => [4,3] => 2
[2,4,5,3,7,6,1] => [4,2,1] => [4,2,1] => 3
[2,4,5,6,1,3,7] => [7] => [7] => 1
[2,4,5,6,1,7,3] => [5,2] => [5,2] => 2
[2,4,5,6,3,1,7] => [5,2] => [5,2] => 2
[2,4,5,6,3,7,1] => [5,2] => [5,2] => 2
[2,4,5,6,7,1,3] => [7] => [7] => 1
[2,4,5,6,7,3,1] => [6,1] => [6,1] => 2
[2,4,5,7,1,3,6] => [7] => [7] => 1
[2,4,5,7,1,6,3] => [6,1] => [6,1] => 2
[2,4,5,7,3,1,6] => [5,2] => [5,2] => 2
[2,4,5,7,3,6,1] => [6,1] => [6,1] => 2
[2,4,5,7,6,1,3] => [4,3] => [4,3] => 2
[2,4,5,7,6,3,1] => [4,2,1] => [4,2,1] => 3
[2,4,6,1,3,5,7] => [7] => [7] => 1
[2,4,6,1,3,7,5] => [5,2] => [5,2] => 2
[2,4,6,1,5,3,7] => [5,2] => [5,2] => 2
[2,4,6,1,5,7,3] => [5,2] => [5,2] => 2
[2,4,6,1,7,3,5] => [4,3] => [4,3] => 2
[2,4,6,1,7,5,3] => [4,2,1] => [4,2,1] => 3
[2,4,6,3,1,5,7] => [4,3] => [4,3] => 2
[2,4,6,3,1,7,5] => [4,1,2] => [4,2,1] => 3
[2,4,6,3,5,1,7] => [5,2] => [5,2] => 2
[2,4,6,3,5,7,1] => [5,2] => [5,2] => 2
[2,4,6,3,7,1,5] => [4,3] => [4,3] => 2
[2,4,6,3,7,5,1] => [4,2,1] => [4,2,1] => 3
[2,4,6,5,1,3,7] => [3,4] => [4,3] => 2
[2,4,6,5,1,7,3] => [3,2,2] => [3,2,2] => 3
[2,4,6,5,3,1,7] => [3,2,2] => [3,2,2] => 3
[2,4,6,5,3,7,1] => [3,2,2] => [3,2,2] => 3
[2,4,6,5,7,1,3] => [3,4] => [4,3] => 2
[2,4,6,5,7,3,1] => [3,3,1] => [3,3,1] => 3
[2,4,6,7,1,3,5] => [7] => [7] => 1
[2,4,6,7,1,5,3] => [6,1] => [6,1] => 2
[2,4,6,7,3,1,5] => [5,2] => [5,2] => 2
[2,4,6,7,3,5,1] => [6,1] => [6,1] => 2
[2,4,6,7,5,1,3] => [5,2] => [5,2] => 2
[2,4,6,7,5,3,1] => [5,1,1] => [5,1,1] => 3
[2,4,7,1,3,5,6] => [7] => [7] => 1
[2,4,7,1,3,6,5] => [6,1] => [6,1] => 2
[2,4,7,1,5,3,6] => [5,2] => [5,2] => 2
[2,4,7,1,5,6,3] => [6,1] => [6,1] => 2
[2,4,7,1,6,3,5] => [4,3] => [4,3] => 2
[2,4,7,1,6,5,3] => [4,2,1] => [4,2,1] => 3
[2,4,7,3,1,5,6] => [4,3] => [4,3] => 2
[2,4,7,3,1,6,5] => [4,2,1] => [4,2,1] => 3
[2,4,7,3,5,1,6] => [5,2] => [5,2] => 2
[2,4,7,3,5,6,1] => [6,1] => [6,1] => 2
[2,4,7,3,6,1,5] => [4,3] => [4,3] => 2
[2,4,7,3,6,5,1] => [4,2,1] => [4,2,1] => 3
[2,4,7,5,1,3,6] => [3,4] => [4,3] => 2
[2,4,7,5,1,6,3] => [3,3,1] => [3,3,1] => 3
[2,4,7,5,3,1,6] => [3,2,2] => [3,2,2] => 3
[2,4,7,5,3,6,1] => [3,3,1] => [3,3,1] => 3
[2,4,7,5,6,1,3] => [3,4] => [4,3] => 2
[2,4,7,5,6,3,1] => [3,3,1] => [3,3,1] => 3
[2,4,7,6,1,3,5] => [3,4] => [4,3] => 2
[2,4,7,6,1,5,3] => [3,3,1] => [3,3,1] => 3
[2,4,7,6,3,1,5] => [3,2,2] => [3,2,2] => 3
[2,4,7,6,3,5,1] => [3,3,1] => [3,3,1] => 3
[2,4,7,6,5,1,3] => [3,2,2] => [3,2,2] => 3
[2,4,7,6,5,3,1] => [3,2,1,1] => [3,2,1,1] => 4
[2,5,1,3,4,6,7] => [7] => [7] => 1
[2,5,1,3,4,7,6] => [5,2] => [5,2] => 2
[2,5,1,3,6,4,7] => [4,3] => [4,3] => 2
[2,5,1,3,6,7,4] => [4,3] => [4,3] => 2
[2,5,1,3,7,4,6] => [4,3] => [4,3] => 2
[2,5,1,3,7,6,4] => [4,2,1] => [4,2,1] => 3
[2,5,1,4,3,6,7] => [4,3] => [4,3] => 2
[2,5,1,4,3,7,6] => [4,1,2] => [4,2,1] => 3
[2,5,1,4,6,3,7] => [4,3] => [4,3] => 2
[2,5,1,4,6,7,3] => [4,3] => [4,3] => 2
[2,5,1,4,7,3,6] => [4,3] => [4,3] => 2
[2,5,1,4,7,6,3] => [4,2,1] => [4,2,1] => 3
[2,5,1,6,3,4,7] => [3,4] => [4,3] => 2
[2,5,1,6,3,7,4] => [3,2,2] => [3,2,2] => 3
[2,5,1,6,4,3,7] => [3,2,2] => [3,2,2] => 3
[2,5,1,6,4,7,3] => [3,2,2] => [3,2,2] => 3
[2,5,1,6,7,3,4] => [3,4] => [4,3] => 2
[2,5,1,6,7,4,3] => [3,3,1] => [3,3,1] => 3
[2,5,1,7,3,4,6] => [3,4] => [4,3] => 2
[2,5,1,7,3,6,4] => [3,3,1] => [3,3,1] => 3
[2,5,1,7,4,3,6] => [3,2,2] => [3,2,2] => 3
[2,5,1,7,4,6,3] => [3,3,1] => [3,3,1] => 3
[2,5,1,7,6,3,4] => [3,1,3] => [3,3,1] => 3
[2,5,1,7,6,4,3] => [3,1,2,1] => [3,2,1,1] => 4
[2,5,3,1,4,6,7] => [3,4] => [4,3] => 2
[2,5,3,1,4,7,6] => [3,2,2] => [3,2,2] => 3
[2,5,3,1,6,4,7] => [3,1,3] => [3,3,1] => 3
[2,5,3,1,6,7,4] => [3,1,3] => [3,3,1] => 3
[2,5,3,1,7,4,6] => [3,1,3] => [3,3,1] => 3
[2,5,3,1,7,6,4] => [3,1,2,1] => [3,2,1,1] => 4
[2,5,3,4,1,6,7] => [4,3] => [4,3] => 2
[2,5,3,4,1,7,6] => [4,1,2] => [4,2,1] => 3
[2,5,3,4,6,1,7] => [4,3] => [4,3] => 2
[2,5,3,4,6,7,1] => [4,3] => [4,3] => 2
[2,5,3,4,7,1,6] => [4,3] => [4,3] => 2
[2,5,3,4,7,6,1] => [4,2,1] => [4,2,1] => 3
[2,5,3,6,1,4,7] => [3,4] => [4,3] => 2
[2,5,3,6,1,7,4] => [3,2,2] => [3,2,2] => 3
[2,5,3,6,4,1,7] => [3,2,2] => [3,2,2] => 3
[2,5,3,6,4,7,1] => [3,2,2] => [3,2,2] => 3
[2,5,3,6,7,1,4] => [3,4] => [4,3] => 2
[2,5,3,6,7,4,1] => [3,3,1] => [3,3,1] => 3
[2,5,3,7,1,4,6] => [3,4] => [4,3] => 2
[2,5,3,7,1,6,4] => [3,3,1] => [3,3,1] => 3
[2,5,3,7,4,1,6] => [3,2,2] => [3,2,2] => 3
[2,5,3,7,4,6,1] => [3,3,1] => [3,3,1] => 3
[2,5,3,7,6,1,4] => [3,1,3] => [3,3,1] => 3
[2,5,3,7,6,4,1] => [3,1,2,1] => [3,2,1,1] => 4
[2,5,4,1,3,6,7] => [2,5] => [5,2] => 2
[2,5,4,1,3,7,6] => [2,3,2] => [3,2,2] => 3
[2,5,4,1,6,3,7] => [2,2,3] => [3,2,2] => 3
[2,5,4,1,6,7,3] => [2,2,3] => [3,2,2] => 3
[2,5,4,1,7,3,6] => [2,2,3] => [3,2,2] => 3
[2,5,4,1,7,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,5,4,3,1,6,7] => [2,2,3] => [3,2,2] => 3
[2,5,4,3,1,7,6] => [2,2,1,2] => [2,2,2,1] => 4
[2,5,4,3,6,1,7] => [2,2,3] => [3,2,2] => 3
[2,5,4,3,6,7,1] => [2,2,3] => [3,2,2] => 3
[2,5,4,3,7,1,6] => [2,2,3] => [3,2,2] => 3
[2,5,4,3,7,6,1] => [2,2,2,1] => [2,2,2,1] => 4
[2,5,4,6,1,3,7] => [2,5] => [5,2] => 2
[2,5,4,6,1,7,3] => [2,3,2] => [3,2,2] => 3
[2,5,4,6,3,1,7] => [2,3,2] => [3,2,2] => 3
[2,5,4,6,3,7,1] => [2,3,2] => [3,2,2] => 3
[2,5,4,6,7,1,3] => [2,5] => [5,2] => 2
[2,5,4,6,7,3,1] => [2,4,1] => [4,2,1] => 3
[2,5,4,7,1,3,6] => [2,5] => [5,2] => 2
[2,5,4,7,1,6,3] => [2,4,1] => [4,2,1] => 3
[2,5,4,7,3,1,6] => [2,3,2] => [3,2,2] => 3
[2,5,4,7,3,6,1] => [2,4,1] => [4,2,1] => 3
[2,5,4,7,6,1,3] => [2,2,3] => [3,2,2] => 3
[2,5,4,7,6,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[2,5,6,1,3,4,7] => [7] => [7] => 1
[2,5,6,1,3,7,4] => [5,2] => [5,2] => 2
[2,5,6,1,4,3,7] => [5,2] => [5,2] => 2
[2,5,6,1,4,7,3] => [5,2] => [5,2] => 2
[2,5,6,1,7,3,4] => [4,3] => [4,3] => 2
[2,5,6,1,7,4,3] => [4,2,1] => [4,2,1] => 3
[2,5,6,3,1,4,7] => [4,3] => [4,3] => 2
[2,5,6,3,1,7,4] => [4,1,2] => [4,2,1] => 3
[2,5,6,3,4,1,7] => [5,2] => [5,2] => 2
[2,5,6,3,4,7,1] => [5,2] => [5,2] => 2
[2,5,6,3,7,1,4] => [4,3] => [4,3] => 2
[2,5,6,3,7,4,1] => [4,2,1] => [4,2,1] => 3
[2,5,6,4,1,3,7] => [4,3] => [4,3] => 2
[2,5,6,4,1,7,3] => [4,1,2] => [4,2,1] => 3
[2,5,6,4,3,1,7] => [4,1,2] => [4,2,1] => 3
[2,5,6,4,3,7,1] => [4,1,2] => [4,2,1] => 3
[2,5,6,4,7,1,3] => [4,3] => [4,3] => 2
[2,5,6,4,7,3,1] => [4,2,1] => [4,2,1] => 3
[2,5,6,7,1,3,4] => [7] => [7] => 1
[2,5,6,7,1,4,3] => [6,1] => [6,1] => 2
[2,5,6,7,3,1,4] => [5,2] => [5,2] => 2
[2,5,6,7,3,4,1] => [6,1] => [6,1] => 2
[2,5,6,7,4,1,3] => [5,2] => [5,2] => 2
[2,5,6,7,4,3,1] => [5,1,1] => [5,1,1] => 3
[2,5,7,1,3,4,6] => [7] => [7] => 1
[2,5,7,1,3,6,4] => [6,1] => [6,1] => 2
[2,5,7,1,4,3,6] => [5,2] => [5,2] => 2
[2,5,7,1,4,6,3] => [6,1] => [6,1] => 2
[2,5,7,1,6,3,4] => [4,3] => [4,3] => 2
[2,5,7,1,6,4,3] => [4,2,1] => [4,2,1] => 3
[2,5,7,3,1,4,6] => [4,3] => [4,3] => 2
[2,5,7,3,1,6,4] => [4,2,1] => [4,2,1] => 3
[2,5,7,3,4,1,6] => [5,2] => [5,2] => 2
[2,5,7,3,4,6,1] => [6,1] => [6,1] => 2
[2,5,7,3,6,1,4] => [4,3] => [4,3] => 2
[2,5,7,3,6,4,1] => [4,2,1] => [4,2,1] => 3
[2,5,7,4,1,3,6] => [4,3] => [4,3] => 2
[2,5,7,4,1,6,3] => [4,2,1] => [4,2,1] => 3
[2,5,7,4,3,1,6] => [4,1,2] => [4,2,1] => 3
[2,5,7,4,3,6,1] => [4,2,1] => [4,2,1] => 3
[2,5,7,4,6,1,3] => [4,3] => [4,3] => 2
[2,5,7,4,6,3,1] => [4,2,1] => [4,2,1] => 3
[2,5,7,6,1,3,4] => [3,4] => [4,3] => 2
[2,5,7,6,1,4,3] => [3,3,1] => [3,3,1] => 3
[2,5,7,6,3,1,4] => [3,2,2] => [3,2,2] => 3
[2,5,7,6,3,4,1] => [3,3,1] => [3,3,1] => 3
[2,5,7,6,4,1,3] => [3,2,2] => [3,2,2] => 3
[2,5,7,6,4,3,1] => [3,2,1,1] => [3,2,1,1] => 4
[2,6,1,3,4,5,7] => [7] => [7] => 1
[2,6,1,3,4,7,5] => [5,2] => [5,2] => 2
[2,6,1,3,5,4,7] => [5,2] => [5,2] => 2
[2,6,1,3,5,7,4] => [5,2] => [5,2] => 2
[2,6,1,3,7,4,5] => [4,3] => [4,3] => 2
[2,6,1,3,7,5,4] => [4,2,1] => [4,2,1] => 3
[2,6,1,4,3,5,7] => [4,3] => [4,3] => 2
[2,6,1,4,3,7,5] => [4,1,2] => [4,2,1] => 3
[2,6,1,4,5,3,7] => [5,2] => [5,2] => 2
[2,6,1,4,5,7,3] => [5,2] => [5,2] => 2
[2,6,1,4,7,3,5] => [4,3] => [4,3] => 2
[2,6,1,4,7,5,3] => [4,2,1] => [4,2,1] => 3
[2,6,1,5,3,4,7] => [3,4] => [4,3] => 2
[2,6,1,5,3,7,4] => [3,2,2] => [3,2,2] => 3
[2,6,1,5,4,3,7] => [3,2,2] => [3,2,2] => 3
[2,6,1,5,4,7,3] => [3,2,2] => [3,2,2] => 3
[2,6,1,5,7,3,4] => [3,4] => [4,3] => 2
[2,6,1,5,7,4,3] => [3,3,1] => [3,3,1] => 3
[2,6,1,7,3,4,5] => [3,4] => [4,3] => 2
[2,6,1,7,3,5,4] => [3,3,1] => [3,3,1] => 3
[2,6,1,7,4,3,5] => [3,2,2] => [3,2,2] => 3
[2,6,1,7,4,5,3] => [3,3,1] => [3,3,1] => 3
[2,6,1,7,5,3,4] => [3,2,2] => [3,2,2] => 3
[2,6,1,7,5,4,3] => [3,2,1,1] => [3,2,1,1] => 4
[2,6,3,1,4,5,7] => [3,4] => [4,3] => 2
[2,6,3,1,4,7,5] => [3,2,2] => [3,2,2] => 3
[2,6,3,1,5,4,7] => [3,2,2] => [3,2,2] => 3
[2,6,3,1,5,7,4] => [3,2,2] => [3,2,2] => 3
[2,6,3,1,7,4,5] => [3,1,3] => [3,3,1] => 3
[2,6,3,1,7,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[2,6,3,4,1,5,7] => [4,3] => [4,3] => 2
[2,6,3,4,1,7,5] => [4,1,2] => [4,2,1] => 3
[2,6,3,4,5,1,7] => [5,2] => [5,2] => 2
[2,6,3,4,5,7,1] => [5,2] => [5,2] => 2
[2,6,3,4,7,1,5] => [4,3] => [4,3] => 2
[2,6,3,4,7,5,1] => [4,2,1] => [4,2,1] => 3
[2,6,3,5,1,4,7] => [3,4] => [4,3] => 2
[2,6,3,5,1,7,4] => [3,2,2] => [3,2,2] => 3
[2,6,3,5,4,1,7] => [3,2,2] => [3,2,2] => 3
[2,6,3,5,4,7,1] => [3,2,2] => [3,2,2] => 3
[2,6,3,5,7,1,4] => [3,4] => [4,3] => 2
[2,6,3,5,7,4,1] => [3,3,1] => [3,3,1] => 3
[2,6,3,7,1,4,5] => [3,4] => [4,3] => 2
[2,6,3,7,1,5,4] => [3,3,1] => [3,3,1] => 3
[2,6,3,7,4,1,5] => [3,2,2] => [3,2,2] => 3
[2,6,3,7,4,5,1] => [3,3,1] => [3,3,1] => 3
[2,6,3,7,5,1,4] => [3,2,2] => [3,2,2] => 3
[2,6,3,7,5,4,1] => [3,2,1,1] => [3,2,1,1] => 4
[2,6,4,1,3,5,7] => [2,5] => [5,2] => 2
[2,6,4,1,3,7,5] => [2,3,2] => [3,2,2] => 3
[2,6,4,1,5,3,7] => [2,3,2] => [3,2,2] => 3
[2,6,4,1,5,7,3] => [2,3,2] => [3,2,2] => 3
[2,6,4,1,7,3,5] => [2,2,3] => [3,2,2] => 3
[2,6,4,1,7,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,6,4,3,1,5,7] => [2,2,3] => [3,2,2] => 3
[2,6,4,3,1,7,5] => [2,2,1,2] => [2,2,2,1] => 4
[2,6,4,3,5,1,7] => [2,3,2] => [3,2,2] => 3
[2,6,4,3,5,7,1] => [2,3,2] => [3,2,2] => 3
[2,6,4,3,7,1,5] => [2,2,3] => [3,2,2] => 3
[2,6,4,3,7,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[2,6,4,5,1,3,7] => [2,5] => [5,2] => 2
[2,6,4,5,1,7,3] => [2,3,2] => [3,2,2] => 3
[2,6,4,5,3,1,7] => [2,3,2] => [3,2,2] => 3
[2,6,4,5,3,7,1] => [2,3,2] => [3,2,2] => 3
[2,6,4,5,7,1,3] => [2,5] => [5,2] => 2
[2,6,4,5,7,3,1] => [2,4,1] => [4,2,1] => 3
[2,6,4,7,1,3,5] => [2,5] => [5,2] => 2
[2,6,4,7,1,5,3] => [2,4,1] => [4,2,1] => 3
[2,6,4,7,3,1,5] => [2,3,2] => [3,2,2] => 3
[2,6,4,7,3,5,1] => [2,4,1] => [4,2,1] => 3
[2,6,4,7,5,1,3] => [2,3,2] => [3,2,2] => 3
[2,6,4,7,5,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[2,6,5,1,3,4,7] => [2,5] => [5,2] => 2
[2,6,5,1,3,7,4] => [2,3,2] => [3,2,2] => 3
[2,6,5,1,4,3,7] => [2,3,2] => [3,2,2] => 3
[2,6,5,1,4,7,3] => [2,3,2] => [3,2,2] => 3
[2,6,5,1,7,3,4] => [2,2,3] => [3,2,2] => 3
[2,6,5,1,7,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,6,5,3,1,4,7] => [2,2,3] => [3,2,2] => 3
[2,6,5,3,1,7,4] => [2,2,1,2] => [2,2,2,1] => 4
[2,6,5,3,4,1,7] => [2,3,2] => [3,2,2] => 3
[2,6,5,3,4,7,1] => [2,3,2] => [3,2,2] => 3
[2,6,5,3,7,1,4] => [2,2,3] => [3,2,2] => 3
[2,6,5,3,7,4,1] => [2,2,2,1] => [2,2,2,1] => 4
[2,6,5,4,1,3,7] => [2,2,3] => [3,2,2] => 3
[2,6,5,4,1,7,3] => [2,2,1,2] => [2,2,2,1] => 4
[2,6,5,4,3,1,7] => [2,2,1,2] => [2,2,2,1] => 4
[2,6,5,4,3,7,1] => [2,2,1,2] => [2,2,2,1] => 4
[2,6,5,4,7,1,3] => [2,2,3] => [3,2,2] => 3
[2,6,5,4,7,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[2,6,5,7,1,3,4] => [2,5] => [5,2] => 2
[2,6,5,7,1,4,3] => [2,4,1] => [4,2,1] => 3
[2,6,5,7,3,1,4] => [2,3,2] => [3,2,2] => 3
[2,6,5,7,3,4,1] => [2,4,1] => [4,2,1] => 3
[2,6,5,7,4,1,3] => [2,3,2] => [3,2,2] => 3
[2,6,5,7,4,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[2,6,7,1,3,4,5] => [7] => [7] => 1
[2,6,7,1,3,5,4] => [6,1] => [6,1] => 2
[2,6,7,1,4,3,5] => [5,2] => [5,2] => 2
[2,6,7,1,4,5,3] => [6,1] => [6,1] => 2
[2,6,7,1,5,3,4] => [5,2] => [5,2] => 2
[2,6,7,1,5,4,3] => [5,1,1] => [5,1,1] => 3
[2,6,7,3,1,4,5] => [4,3] => [4,3] => 2
[2,6,7,3,1,5,4] => [4,2,1] => [4,2,1] => 3
[2,6,7,3,4,1,5] => [5,2] => [5,2] => 2
[2,6,7,3,4,5,1] => [6,1] => [6,1] => 2
[2,6,7,3,5,1,4] => [5,2] => [5,2] => 2
[2,6,7,3,5,4,1] => [5,1,1] => [5,1,1] => 3
[2,6,7,4,1,3,5] => [4,3] => [4,3] => 2
[2,6,7,4,1,5,3] => [4,2,1] => [4,2,1] => 3
[2,6,7,4,3,1,5] => [4,1,2] => [4,2,1] => 3
[2,6,7,4,3,5,1] => [4,2,1] => [4,2,1] => 3
[2,6,7,4,5,1,3] => [5,2] => [5,2] => 2
[2,6,7,4,5,3,1] => [5,1,1] => [5,1,1] => 3
[2,6,7,5,1,3,4] => [3,4] => [4,3] => 2
[2,6,7,5,1,4,3] => [3,3,1] => [3,3,1] => 3
[2,6,7,5,3,1,4] => [3,2,2] => [3,2,2] => 3
[2,6,7,5,3,4,1] => [3,3,1] => [3,3,1] => 3
[2,6,7,5,4,1,3] => [3,2,2] => [3,2,2] => 3
[2,6,7,5,4,3,1] => [3,2,1,1] => [3,2,1,1] => 4
[2,7,1,3,4,5,6] => [7] => [7] => 1
[2,7,1,3,4,6,5] => [6,1] => [6,1] => 2
[2,7,1,3,5,4,6] => [5,2] => [5,2] => 2
[2,7,1,3,5,6,4] => [6,1] => [6,1] => 2
[2,7,1,3,6,4,5] => [4,3] => [4,3] => 2
[2,7,1,3,6,5,4] => [4,2,1] => [4,2,1] => 3
[2,7,1,4,3,5,6] => [4,3] => [4,3] => 2
[2,7,1,4,3,6,5] => [4,2,1] => [4,2,1] => 3
[2,7,1,4,5,3,6] => [5,2] => [5,2] => 2
[2,7,1,4,5,6,3] => [6,1] => [6,1] => 2
[2,7,1,4,6,3,5] => [4,3] => [4,3] => 2
[2,7,1,4,6,5,3] => [4,2,1] => [4,2,1] => 3
[2,7,1,5,3,4,6] => [3,4] => [4,3] => 2
[2,7,1,5,3,6,4] => [3,3,1] => [3,3,1] => 3
[2,7,1,5,4,3,6] => [3,2,2] => [3,2,2] => 3
[2,7,1,5,4,6,3] => [3,3,1] => [3,3,1] => 3
[2,7,1,5,6,3,4] => [3,4] => [4,3] => 2
[2,7,1,5,6,4,3] => [3,3,1] => [3,3,1] => 3
[2,7,1,6,3,4,5] => [3,4] => [4,3] => 2
[2,7,1,6,3,5,4] => [3,3,1] => [3,3,1] => 3
[2,7,1,6,4,3,5] => [3,2,2] => [3,2,2] => 3
[2,7,1,6,4,5,3] => [3,3,1] => [3,3,1] => 3
[2,7,1,6,5,3,4] => [3,2,2] => [3,2,2] => 3
[2,7,1,6,5,4,3] => [3,2,1,1] => [3,2,1,1] => 4
[2,7,3,1,4,5,6] => [3,4] => [4,3] => 2
[2,7,3,1,4,6,5] => [3,3,1] => [3,3,1] => 3
[2,7,3,1,5,4,6] => [3,2,2] => [3,2,2] => 3
[2,7,3,1,5,6,4] => [3,3,1] => [3,3,1] => 3
[2,7,3,1,6,4,5] => [3,1,3] => [3,3,1] => 3
[2,7,3,1,6,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[2,7,3,4,1,5,6] => [4,3] => [4,3] => 2
[2,7,3,4,1,6,5] => [4,2,1] => [4,2,1] => 3
[2,7,3,4,5,1,6] => [5,2] => [5,2] => 2
[2,7,3,4,5,6,1] => [6,1] => [6,1] => 2
[2,7,3,4,6,1,5] => [4,3] => [4,3] => 2
[2,7,3,4,6,5,1] => [4,2,1] => [4,2,1] => 3
[2,7,3,5,1,4,6] => [3,4] => [4,3] => 2
[2,7,3,5,1,6,4] => [3,3,1] => [3,3,1] => 3
[2,7,3,5,4,1,6] => [3,2,2] => [3,2,2] => 3
[2,7,3,5,4,6,1] => [3,3,1] => [3,3,1] => 3
[2,7,3,5,6,1,4] => [3,4] => [4,3] => 2
[2,7,3,5,6,4,1] => [3,3,1] => [3,3,1] => 3
[2,7,3,6,1,4,5] => [3,4] => [4,3] => 2
[2,7,3,6,1,5,4] => [3,3,1] => [3,3,1] => 3
[2,7,3,6,4,1,5] => [3,2,2] => [3,2,2] => 3
[2,7,3,6,4,5,1] => [3,3,1] => [3,3,1] => 3
[2,7,3,6,5,1,4] => [3,2,2] => [3,2,2] => 3
[2,7,3,6,5,4,1] => [3,2,1,1] => [3,2,1,1] => 4
[2,7,4,1,3,5,6] => [2,5] => [5,2] => 2
[2,7,4,1,3,6,5] => [2,4,1] => [4,2,1] => 3
[2,7,4,1,5,3,6] => [2,3,2] => [3,2,2] => 3
[2,7,4,1,5,6,3] => [2,4,1] => [4,2,1] => 3
[2,7,4,1,6,3,5] => [2,2,3] => [3,2,2] => 3
[2,7,4,1,6,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,4,3,1,5,6] => [2,2,3] => [3,2,2] => 3
[2,7,4,3,1,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,4,3,5,1,6] => [2,3,2] => [3,2,2] => 3
[2,7,4,3,5,6,1] => [2,4,1] => [4,2,1] => 3
[2,7,4,3,6,1,5] => [2,2,3] => [3,2,2] => 3
[2,7,4,3,6,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,4,5,1,3,6] => [2,5] => [5,2] => 2
[2,7,4,5,1,6,3] => [2,4,1] => [4,2,1] => 3
[2,7,4,5,3,1,6] => [2,3,2] => [3,2,2] => 3
[2,7,4,5,3,6,1] => [2,4,1] => [4,2,1] => 3
[2,7,4,5,6,1,3] => [2,5] => [5,2] => 2
[2,7,4,5,6,3,1] => [2,4,1] => [4,2,1] => 3
[2,7,4,6,1,3,5] => [2,5] => [5,2] => 2
[2,7,4,6,1,5,3] => [2,4,1] => [4,2,1] => 3
[2,7,4,6,3,1,5] => [2,3,2] => [3,2,2] => 3
[2,7,4,6,3,5,1] => [2,4,1] => [4,2,1] => 3
[2,7,4,6,5,1,3] => [2,3,2] => [3,2,2] => 3
[2,7,4,6,5,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[2,7,5,1,3,4,6] => [2,5] => [5,2] => 2
[2,7,5,1,3,6,4] => [2,4,1] => [4,2,1] => 3
[2,7,5,1,4,3,6] => [2,3,2] => [3,2,2] => 3
[2,7,5,1,4,6,3] => [2,4,1] => [4,2,1] => 3
[2,7,5,1,6,3,4] => [2,2,3] => [3,2,2] => 3
[2,7,5,1,6,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,5,3,1,4,6] => [2,2,3] => [3,2,2] => 3
[2,7,5,3,1,6,4] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,5,3,4,1,6] => [2,3,2] => [3,2,2] => 3
[2,7,5,3,4,6,1] => [2,4,1] => [4,2,1] => 3
[2,7,5,3,6,1,4] => [2,2,3] => [3,2,2] => 3
[2,7,5,3,6,4,1] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,5,4,1,3,6] => [2,2,3] => [3,2,2] => 3
[2,7,5,4,1,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,5,4,3,1,6] => [2,2,1,2] => [2,2,2,1] => 4
[2,7,5,4,3,6,1] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,5,4,6,1,3] => [2,2,3] => [3,2,2] => 3
[2,7,5,4,6,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,5,6,1,3,4] => [2,5] => [5,2] => 2
[2,7,5,6,1,4,3] => [2,4,1] => [4,2,1] => 3
[2,7,5,6,3,1,4] => [2,3,2] => [3,2,2] => 3
[2,7,5,6,3,4,1] => [2,4,1] => [4,2,1] => 3
[2,7,5,6,4,1,3] => [2,3,2] => [3,2,2] => 3
[2,7,5,6,4,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[2,7,6,1,3,4,5] => [2,5] => [5,2] => 2
[2,7,6,1,3,5,4] => [2,4,1] => [4,2,1] => 3
[2,7,6,1,4,3,5] => [2,3,2] => [3,2,2] => 3
[2,7,6,1,4,5,3] => [2,4,1] => [4,2,1] => 3
[2,7,6,1,5,3,4] => [2,3,2] => [3,2,2] => 3
[2,7,6,1,5,4,3] => [2,3,1,1] => [3,2,1,1] => 4
[2,7,6,3,1,4,5] => [2,2,3] => [3,2,2] => 3
[2,7,6,3,1,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,6,3,4,1,5] => [2,3,2] => [3,2,2] => 3
[2,7,6,3,4,5,1] => [2,4,1] => [4,2,1] => 3
[2,7,6,3,5,1,4] => [2,3,2] => [3,2,2] => 3
[2,7,6,3,5,4,1] => [2,3,1,1] => [3,2,1,1] => 4
[2,7,6,4,1,3,5] => [2,2,3] => [3,2,2] => 3
[2,7,6,4,1,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,6,4,3,1,5] => [2,2,1,2] => [2,2,2,1] => 4
[2,7,6,4,3,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[2,7,6,4,5,1,3] => [2,3,2] => [3,2,2] => 3
[2,7,6,4,5,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[2,7,6,5,1,3,4] => [2,1,4] => [4,2,1] => 3
[2,7,6,5,1,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[2,7,6,5,3,1,4] => [2,1,2,2] => [2,2,2,1] => 4
[2,7,6,5,3,4,1] => [2,1,3,1] => [3,2,1,1] => 4
[2,7,6,5,4,1,3] => [2,1,2,2] => [2,2,2,1] => 4
[2,7,6,5,4,3,1] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[3,1,2,4,5,6,7] => [7] => [7] => 1
[3,1,2,4,5,7,6] => [5,2] => [5,2] => 2
[3,1,2,4,6,5,7] => [4,3] => [4,3] => 2
[3,1,2,4,6,7,5] => [4,3] => [4,3] => 2
[3,1,2,4,7,5,6] => [4,3] => [4,3] => 2
[3,1,2,4,7,6,5] => [4,2,1] => [4,2,1] => 3
[3,1,2,5,4,6,7] => [3,4] => [4,3] => 2
[3,1,2,5,4,7,6] => [3,2,2] => [3,2,2] => 3
[3,1,2,5,6,4,7] => [3,4] => [4,3] => 2
[3,1,2,5,6,7,4] => [3,4] => [4,3] => 2
[3,1,2,5,7,4,6] => [3,4] => [4,3] => 2
[3,1,2,5,7,6,4] => [3,3,1] => [3,3,1] => 3
[3,1,2,6,4,5,7] => [3,4] => [4,3] => 2
[3,1,2,6,4,7,5] => [3,2,2] => [3,2,2] => 3
[3,1,2,6,5,4,7] => [3,2,2] => [3,2,2] => 3
[3,1,2,6,5,7,4] => [3,2,2] => [3,2,2] => 3
[3,1,2,6,7,4,5] => [3,4] => [4,3] => 2
[3,1,2,6,7,5,4] => [3,3,1] => [3,3,1] => 3
[3,1,2,7,4,5,6] => [3,4] => [4,3] => 2
[3,1,2,7,4,6,5] => [3,3,1] => [3,3,1] => 3
[3,1,2,7,5,4,6] => [3,2,2] => [3,2,2] => 3
[3,1,2,7,5,6,4] => [3,3,1] => [3,3,1] => 3
[3,1,2,7,6,4,5] => [3,1,3] => [3,3,1] => 3
[3,1,2,7,6,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[3,1,4,2,5,6,7] => [2,5] => [5,2] => 2
[3,1,4,2,5,7,6] => [2,3,2] => [3,2,2] => 3
[3,1,4,2,6,5,7] => [2,2,3] => [3,2,2] => 3
[3,1,4,2,6,7,5] => [2,2,3] => [3,2,2] => 3
[3,1,4,2,7,5,6] => [2,2,3] => [3,2,2] => 3
[3,1,4,2,7,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[3,1,4,5,2,6,7] => [2,5] => [5,2] => 2
[3,1,4,5,2,7,6] => [2,3,2] => [3,2,2] => 3
[3,1,4,5,6,2,7] => [2,5] => [5,2] => 2
[3,1,4,5,6,7,2] => [2,5] => [5,2] => 2
[3,1,4,5,7,2,6] => [2,5] => [5,2] => 2
[3,1,4,5,7,6,2] => [2,4,1] => [4,2,1] => 3
[3,1,4,6,2,5,7] => [2,5] => [5,2] => 2
[3,1,4,6,2,7,5] => [2,3,2] => [3,2,2] => 3
[3,1,4,6,5,2,7] => [2,3,2] => [3,2,2] => 3
[3,1,4,6,5,7,2] => [2,3,2] => [3,2,2] => 3
[3,1,4,6,7,2,5] => [2,5] => [5,2] => 2
[3,1,4,6,7,5,2] => [2,4,1] => [4,2,1] => 3
[3,1,4,7,2,5,6] => [2,5] => [5,2] => 2
[3,1,4,7,2,6,5] => [2,4,1] => [4,2,1] => 3
[3,1,4,7,5,2,6] => [2,3,2] => [3,2,2] => 3
[3,1,4,7,5,6,2] => [2,4,1] => [4,2,1] => 3
[3,1,4,7,6,2,5] => [2,2,3] => [3,2,2] => 3
[3,1,4,7,6,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,1,5,2,4,6,7] => [2,5] => [5,2] => 2
[3,1,5,2,4,7,6] => [2,3,2] => [3,2,2] => 3
[3,1,5,2,6,4,7] => [2,2,3] => [3,2,2] => 3
[3,1,5,2,6,7,4] => [2,2,3] => [3,2,2] => 3
[3,1,5,2,7,4,6] => [2,2,3] => [3,2,2] => 3
[3,1,5,2,7,6,4] => [2,2,2,1] => [2,2,2,1] => 4
[3,1,5,4,2,6,7] => [2,2,3] => [3,2,2] => 3
[3,1,5,4,2,7,6] => [2,2,1,2] => [2,2,2,1] => 4
[3,1,5,4,6,2,7] => [2,2,3] => [3,2,2] => 3
[3,1,5,4,6,7,2] => [2,2,3] => [3,2,2] => 3
[3,1,5,4,7,2,6] => [2,2,3] => [3,2,2] => 3
[3,1,5,4,7,6,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,1,5,6,2,4,7] => [2,5] => [5,2] => 2
[3,1,5,6,2,7,4] => [2,3,2] => [3,2,2] => 3
[3,1,5,6,4,2,7] => [2,3,2] => [3,2,2] => 3
[3,1,5,6,4,7,2] => [2,3,2] => [3,2,2] => 3
[3,1,5,6,7,2,4] => [2,5] => [5,2] => 2
[3,1,5,6,7,4,2] => [2,4,1] => [4,2,1] => 3
[3,1,5,7,2,4,6] => [2,5] => [5,2] => 2
[3,1,5,7,2,6,4] => [2,4,1] => [4,2,1] => 3
[3,1,5,7,4,2,6] => [2,3,2] => [3,2,2] => 3
[3,1,5,7,4,6,2] => [2,4,1] => [4,2,1] => 3
[3,1,5,7,6,2,4] => [2,2,3] => [3,2,2] => 3
[3,1,5,7,6,4,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,1,6,2,4,5,7] => [2,5] => [5,2] => 2
[3,1,6,2,4,7,5] => [2,3,2] => [3,2,2] => 3
[3,1,6,2,5,4,7] => [2,3,2] => [3,2,2] => 3
[3,1,6,2,5,7,4] => [2,3,2] => [3,2,2] => 3
[3,1,6,2,7,4,5] => [2,2,3] => [3,2,2] => 3
[3,1,6,2,7,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[3,1,6,4,2,5,7] => [2,2,3] => [3,2,2] => 3
[3,1,6,4,2,7,5] => [2,2,1,2] => [2,2,2,1] => 4
[3,1,6,4,5,2,7] => [2,3,2] => [3,2,2] => 3
[3,1,6,4,5,7,2] => [2,3,2] => [3,2,2] => 3
[3,1,6,4,7,2,5] => [2,2,3] => [3,2,2] => 3
[3,1,6,4,7,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,1,6,5,2,4,7] => [2,1,4] => [4,2,1] => 3
[3,1,6,5,2,7,4] => [2,1,2,2] => [2,2,2,1] => 4
[3,1,6,5,4,2,7] => [2,1,2,2] => [2,2,2,1] => 4
[3,1,6,5,4,7,2] => [2,1,2,2] => [2,2,2,1] => 4
[3,1,6,5,7,2,4] => [2,1,4] => [4,2,1] => 3
[3,1,6,5,7,4,2] => [2,1,3,1] => [3,2,1,1] => 4
[3,1,6,7,2,4,5] => [2,5] => [5,2] => 2
[3,1,6,7,2,5,4] => [2,4,1] => [4,2,1] => 3
[3,1,6,7,4,2,5] => [2,3,2] => [3,2,2] => 3
[3,1,6,7,4,5,2] => [2,4,1] => [4,2,1] => 3
[3,1,6,7,5,2,4] => [2,3,2] => [3,2,2] => 3
[3,1,6,7,5,4,2] => [2,3,1,1] => [3,2,1,1] => 4
[3,1,7,2,4,5,6] => [2,5] => [5,2] => 2
[3,1,7,2,4,6,5] => [2,4,1] => [4,2,1] => 3
[3,1,7,2,5,4,6] => [2,3,2] => [3,2,2] => 3
[3,1,7,2,5,6,4] => [2,4,1] => [4,2,1] => 3
[3,1,7,2,6,4,5] => [2,2,3] => [3,2,2] => 3
[3,1,7,2,6,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[3,1,7,4,2,5,6] => [2,2,3] => [3,2,2] => 3
[3,1,7,4,2,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[3,1,7,4,5,2,6] => [2,3,2] => [3,2,2] => 3
[3,1,7,4,5,6,2] => [2,4,1] => [4,2,1] => 3
[3,1,7,4,6,2,5] => [2,2,3] => [3,2,2] => 3
[3,1,7,4,6,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,1,7,5,2,4,6] => [2,1,4] => [4,2,1] => 3
[3,1,7,5,2,6,4] => [2,1,3,1] => [3,2,1,1] => 4
[3,1,7,5,4,2,6] => [2,1,2,2] => [2,2,2,1] => 4
[3,1,7,5,4,6,2] => [2,1,3,1] => [3,2,1,1] => 4
[3,1,7,5,6,2,4] => [2,1,4] => [4,2,1] => 3
[3,1,7,5,6,4,2] => [2,1,3,1] => [3,2,1,1] => 4
[3,1,7,6,2,4,5] => [2,1,4] => [4,2,1] => 3
[3,1,7,6,2,5,4] => [2,1,3,1] => [3,2,1,1] => 4
[3,1,7,6,4,2,5] => [2,1,2,2] => [2,2,2,1] => 4
[3,1,7,6,4,5,2] => [2,1,3,1] => [3,2,1,1] => 4
[3,1,7,6,5,2,4] => [2,1,2,2] => [2,2,2,1] => 4
[3,1,7,6,5,4,2] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[3,2,1,4,5,6,7] => [2,5] => [5,2] => 2
[3,2,1,4,5,7,6] => [2,3,2] => [3,2,2] => 3
[3,2,1,4,6,5,7] => [2,2,3] => [3,2,2] => 3
[3,2,1,4,6,7,5] => [2,2,3] => [3,2,2] => 3
[3,2,1,4,7,5,6] => [2,2,3] => [3,2,2] => 3
[3,2,1,4,7,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[3,2,1,5,4,6,7] => [2,1,4] => [4,2,1] => 3
[3,2,1,5,4,7,6] => [2,1,2,2] => [2,2,2,1] => 4
[3,2,1,5,6,4,7] => [2,1,4] => [4,2,1] => 3
[3,2,1,5,6,7,4] => [2,1,4] => [4,2,1] => 3
[3,2,1,5,7,4,6] => [2,1,4] => [4,2,1] => 3
[3,2,1,5,7,6,4] => [2,1,3,1] => [3,2,1,1] => 4
[3,2,1,6,4,5,7] => [2,1,4] => [4,2,1] => 3
[3,2,1,6,4,7,5] => [2,1,2,2] => [2,2,2,1] => 4
[3,2,1,6,5,4,7] => [2,1,2,2] => [2,2,2,1] => 4
[3,2,1,6,5,7,4] => [2,1,2,2] => [2,2,2,1] => 4
[3,2,1,6,7,4,5] => [2,1,4] => [4,2,1] => 3
[3,2,1,6,7,5,4] => [2,1,3,1] => [3,2,1,1] => 4
[3,2,1,7,4,5,6] => [2,1,4] => [4,2,1] => 3
[3,2,1,7,4,6,5] => [2,1,3,1] => [3,2,1,1] => 4
[3,2,1,7,5,4,6] => [2,1,2,2] => [2,2,2,1] => 4
[3,2,1,7,5,6,4] => [2,1,3,1] => [3,2,1,1] => 4
[3,2,1,7,6,4,5] => [2,1,1,3] => [3,2,1,1] => 4
[3,2,1,7,6,5,4] => [2,1,1,2,1] => [2,2,1,1,1] => 5
[3,2,4,1,5,6,7] => [2,5] => [5,2] => 2
[3,2,4,1,5,7,6] => [2,3,2] => [3,2,2] => 3
[3,2,4,1,6,5,7] => [2,2,3] => [3,2,2] => 3
[3,2,4,1,6,7,5] => [2,2,3] => [3,2,2] => 3
[3,2,4,1,7,5,6] => [2,2,3] => [3,2,2] => 3
[3,2,4,1,7,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[3,2,4,5,1,6,7] => [2,5] => [5,2] => 2
[3,2,4,5,1,7,6] => [2,3,2] => [3,2,2] => 3
[3,2,4,5,6,1,7] => [2,5] => [5,2] => 2
[3,2,4,5,6,7,1] => [2,5] => [5,2] => 2
[3,2,4,5,7,1,6] => [2,5] => [5,2] => 2
[3,2,4,5,7,6,1] => [2,4,1] => [4,2,1] => 3
[3,2,4,6,1,5,7] => [2,5] => [5,2] => 2
[3,2,4,6,1,7,5] => [2,3,2] => [3,2,2] => 3
[3,2,4,6,5,1,7] => [2,3,2] => [3,2,2] => 3
[3,2,4,6,5,7,1] => [2,3,2] => [3,2,2] => 3
[3,2,4,6,7,1,5] => [2,5] => [5,2] => 2
[3,2,4,6,7,5,1] => [2,4,1] => [4,2,1] => 3
[3,2,4,7,1,5,6] => [2,5] => [5,2] => 2
[3,2,4,7,1,6,5] => [2,4,1] => [4,2,1] => 3
[3,2,4,7,5,1,6] => [2,3,2] => [3,2,2] => 3
[3,2,4,7,5,6,1] => [2,4,1] => [4,2,1] => 3
[3,2,4,7,6,1,5] => [2,2,3] => [3,2,2] => 3
[3,2,4,7,6,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,2,5,1,4,6,7] => [2,5] => [5,2] => 2
[3,2,5,1,4,7,6] => [2,3,2] => [3,2,2] => 3
[3,2,5,1,6,4,7] => [2,2,3] => [3,2,2] => 3
[3,2,5,1,6,7,4] => [2,2,3] => [3,2,2] => 3
[3,2,5,1,7,4,6] => [2,2,3] => [3,2,2] => 3
[3,2,5,1,7,6,4] => [2,2,2,1] => [2,2,2,1] => 4
[3,2,5,4,1,6,7] => [2,2,3] => [3,2,2] => 3
[3,2,5,4,1,7,6] => [2,2,1,2] => [2,2,2,1] => 4
[3,2,5,4,6,1,7] => [2,2,3] => [3,2,2] => 3
[3,2,5,4,6,7,1] => [2,2,3] => [3,2,2] => 3
[3,2,5,4,7,1,6] => [2,2,3] => [3,2,2] => 3
[3,2,5,4,7,6,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,2,5,6,1,4,7] => [2,5] => [5,2] => 2
[3,2,5,6,1,7,4] => [2,3,2] => [3,2,2] => 3
[3,2,5,6,4,1,7] => [2,3,2] => [3,2,2] => 3
[3,2,5,6,4,7,1] => [2,3,2] => [3,2,2] => 3
[3,2,5,6,7,1,4] => [2,5] => [5,2] => 2
[3,2,5,6,7,4,1] => [2,4,1] => [4,2,1] => 3
[3,2,5,7,1,4,6] => [2,5] => [5,2] => 2
[3,2,5,7,1,6,4] => [2,4,1] => [4,2,1] => 3
[3,2,5,7,4,1,6] => [2,3,2] => [3,2,2] => 3
[3,2,5,7,4,6,1] => [2,4,1] => [4,2,1] => 3
[3,2,5,7,6,1,4] => [2,2,3] => [3,2,2] => 3
[3,2,5,7,6,4,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,2,6,1,4,5,7] => [2,5] => [5,2] => 2
[3,2,6,1,4,7,5] => [2,3,2] => [3,2,2] => 3
[3,2,6,1,5,4,7] => [2,3,2] => [3,2,2] => 3
[3,2,6,1,5,7,4] => [2,3,2] => [3,2,2] => 3
[3,2,6,1,7,4,5] => [2,2,3] => [3,2,2] => 3
[3,2,6,1,7,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[3,2,6,4,1,5,7] => [2,2,3] => [3,2,2] => 3
[3,2,6,4,1,7,5] => [2,2,1,2] => [2,2,2,1] => 4
[3,2,6,4,5,1,7] => [2,3,2] => [3,2,2] => 3
[3,2,6,4,5,7,1] => [2,3,2] => [3,2,2] => 3
[3,2,6,4,7,1,5] => [2,2,3] => [3,2,2] => 3
[3,2,6,4,7,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,2,6,5,1,4,7] => [2,1,4] => [4,2,1] => 3
[3,2,6,5,1,7,4] => [2,1,2,2] => [2,2,2,1] => 4
[3,2,6,5,4,1,7] => [2,1,2,2] => [2,2,2,1] => 4
[3,2,6,5,4,7,1] => [2,1,2,2] => [2,2,2,1] => 4
[3,2,6,5,7,1,4] => [2,1,4] => [4,2,1] => 3
[3,2,6,5,7,4,1] => [2,1,3,1] => [3,2,1,1] => 4
[3,2,6,7,1,4,5] => [2,5] => [5,2] => 2
[3,2,6,7,1,5,4] => [2,4,1] => [4,2,1] => 3
[3,2,6,7,4,1,5] => [2,3,2] => [3,2,2] => 3
[3,2,6,7,4,5,1] => [2,4,1] => [4,2,1] => 3
[3,2,6,7,5,1,4] => [2,3,2] => [3,2,2] => 3
[3,2,6,7,5,4,1] => [2,3,1,1] => [3,2,1,1] => 4
[3,2,7,1,4,5,6] => [2,5] => [5,2] => 2
[3,2,7,1,4,6,5] => [2,4,1] => [4,2,1] => 3
[3,2,7,1,5,4,6] => [2,3,2] => [3,2,2] => 3
[3,2,7,1,5,6,4] => [2,4,1] => [4,2,1] => 3
[3,2,7,1,6,4,5] => [2,2,3] => [3,2,2] => 3
[3,2,7,1,6,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[3,2,7,4,1,5,6] => [2,2,3] => [3,2,2] => 3
[3,2,7,4,1,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[3,2,7,4,5,1,6] => [2,3,2] => [3,2,2] => 3
[3,2,7,4,5,6,1] => [2,4,1] => [4,2,1] => 3
[3,2,7,4,6,1,5] => [2,2,3] => [3,2,2] => 3
[3,2,7,4,6,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,2,7,5,1,4,6] => [2,1,4] => [4,2,1] => 3
[3,2,7,5,1,6,4] => [2,1,3,1] => [3,2,1,1] => 4
[3,2,7,5,4,1,6] => [2,1,2,2] => [2,2,2,1] => 4
[3,2,7,5,4,6,1] => [2,1,3,1] => [3,2,1,1] => 4
[3,2,7,5,6,1,4] => [2,1,4] => [4,2,1] => 3
[3,2,7,5,6,4,1] => [2,1,3,1] => [3,2,1,1] => 4
[3,2,7,6,1,4,5] => [2,1,4] => [4,2,1] => 3
[3,2,7,6,1,5,4] => [2,1,3,1] => [3,2,1,1] => 4
[3,2,7,6,4,1,5] => [2,1,2,2] => [2,2,2,1] => 4
[3,2,7,6,4,5,1] => [2,1,3,1] => [3,2,1,1] => 4
[3,2,7,6,5,1,4] => [2,1,2,2] => [2,2,2,1] => 4
[3,2,7,6,5,4,1] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[3,4,1,2,5,6,7] => [7] => [7] => 1
[3,4,1,2,5,7,6] => [5,2] => [5,2] => 2
[3,4,1,2,6,5,7] => [4,3] => [4,3] => 2
[3,4,1,2,6,7,5] => [4,3] => [4,3] => 2
[3,4,1,2,7,5,6] => [4,3] => [4,3] => 2
[3,4,1,2,7,6,5] => [4,2,1] => [4,2,1] => 3
[3,4,1,5,2,6,7] => [3,4] => [4,3] => 2
[3,4,1,5,2,7,6] => [3,2,2] => [3,2,2] => 3
[3,4,1,5,6,2,7] => [3,4] => [4,3] => 2
[3,4,1,5,6,7,2] => [3,4] => [4,3] => 2
[3,4,1,5,7,2,6] => [3,4] => [4,3] => 2
[3,4,1,5,7,6,2] => [3,3,1] => [3,3,1] => 3
[3,4,1,6,2,5,7] => [3,4] => [4,3] => 2
[3,4,1,6,2,7,5] => [3,2,2] => [3,2,2] => 3
[3,4,1,6,5,2,7] => [3,2,2] => [3,2,2] => 3
[3,4,1,6,5,7,2] => [3,2,2] => [3,2,2] => 3
[3,4,1,6,7,2,5] => [3,4] => [4,3] => 2
[3,4,1,6,7,5,2] => [3,3,1] => [3,3,1] => 3
[3,4,1,7,2,5,6] => [3,4] => [4,3] => 2
[3,4,1,7,2,6,5] => [3,3,1] => [3,3,1] => 3
[3,4,1,7,5,2,6] => [3,2,2] => [3,2,2] => 3
[3,4,1,7,5,6,2] => [3,3,1] => [3,3,1] => 3
[3,4,1,7,6,2,5] => [3,1,3] => [3,3,1] => 3
[3,4,1,7,6,5,2] => [3,1,2,1] => [3,2,1,1] => 4
[3,4,2,1,5,6,7] => [3,4] => [4,3] => 2
[3,4,2,1,5,7,6] => [3,2,2] => [3,2,2] => 3
[3,4,2,1,6,5,7] => [3,1,3] => [3,3,1] => 3
[3,4,2,1,6,7,5] => [3,1,3] => [3,3,1] => 3
[3,4,2,1,7,5,6] => [3,1,3] => [3,3,1] => 3
[3,4,2,1,7,6,5] => [3,1,2,1] => [3,2,1,1] => 4
[3,4,2,5,1,6,7] => [3,4] => [4,3] => 2
[3,4,2,5,1,7,6] => [3,2,2] => [3,2,2] => 3
[3,4,2,5,6,1,7] => [3,4] => [4,3] => 2
[3,4,2,5,6,7,1] => [3,4] => [4,3] => 2
[3,4,2,5,7,1,6] => [3,4] => [4,3] => 2
[3,4,2,5,7,6,1] => [3,3,1] => [3,3,1] => 3
[3,4,2,6,1,5,7] => [3,4] => [4,3] => 2
[3,4,2,6,1,7,5] => [3,2,2] => [3,2,2] => 3
[3,4,2,6,5,1,7] => [3,2,2] => [3,2,2] => 3
[3,4,2,6,5,7,1] => [3,2,2] => [3,2,2] => 3
[3,4,2,6,7,1,5] => [3,4] => [4,3] => 2
[3,4,2,6,7,5,1] => [3,3,1] => [3,3,1] => 3
[3,4,2,7,1,5,6] => [3,4] => [4,3] => 2
[3,4,2,7,1,6,5] => [3,3,1] => [3,3,1] => 3
[3,4,2,7,5,1,6] => [3,2,2] => [3,2,2] => 3
[3,4,2,7,5,6,1] => [3,3,1] => [3,3,1] => 3
[3,4,2,7,6,1,5] => [3,1,3] => [3,3,1] => 3
[3,4,2,7,6,5,1] => [3,1,2,1] => [3,2,1,1] => 4
[3,4,5,1,2,6,7] => [7] => [7] => 1
[3,4,5,1,2,7,6] => [5,2] => [5,2] => 2
[3,4,5,1,6,2,7] => [4,3] => [4,3] => 2
[3,4,5,1,6,7,2] => [4,3] => [4,3] => 2
[3,4,5,1,7,2,6] => [4,3] => [4,3] => 2
[3,4,5,1,7,6,2] => [4,2,1] => [4,2,1] => 3
[3,4,5,2,1,6,7] => [4,3] => [4,3] => 2
[3,4,5,2,1,7,6] => [4,1,2] => [4,2,1] => 3
[3,4,5,2,6,1,7] => [4,3] => [4,3] => 2
[3,4,5,2,6,7,1] => [4,3] => [4,3] => 2
[3,4,5,2,7,1,6] => [4,3] => [4,3] => 2
[3,4,5,2,7,6,1] => [4,2,1] => [4,2,1] => 3
[3,4,5,6,1,2,7] => [7] => [7] => 1
[3,4,5,6,1,7,2] => [5,2] => [5,2] => 2
[3,4,5,6,2,1,7] => [5,2] => [5,2] => 2
[3,4,5,6,2,7,1] => [5,2] => [5,2] => 2
[3,4,5,6,7,1,2] => [7] => [7] => 1
[3,4,5,6,7,2,1] => [6,1] => [6,1] => 2
[3,4,5,7,1,2,6] => [7] => [7] => 1
[3,4,5,7,1,6,2] => [6,1] => [6,1] => 2
[3,4,5,7,2,1,6] => [5,2] => [5,2] => 2
[3,4,5,7,2,6,1] => [6,1] => [6,1] => 2
[3,4,5,7,6,1,2] => [4,3] => [4,3] => 2
[3,4,5,7,6,2,1] => [4,2,1] => [4,2,1] => 3
[3,4,6,1,2,5,7] => [7] => [7] => 1
[3,4,6,1,2,7,5] => [5,2] => [5,2] => 2
[3,4,6,1,5,2,7] => [5,2] => [5,2] => 2
[3,4,6,1,5,7,2] => [5,2] => [5,2] => 2
[3,4,6,1,7,2,5] => [4,3] => [4,3] => 2
[3,4,6,1,7,5,2] => [4,2,1] => [4,2,1] => 3
[3,4,6,2,1,5,7] => [4,3] => [4,3] => 2
[3,4,6,2,1,7,5] => [4,1,2] => [4,2,1] => 3
[3,4,6,2,5,1,7] => [5,2] => [5,2] => 2
[3,4,6,2,5,7,1] => [5,2] => [5,2] => 2
[3,4,6,2,7,1,5] => [4,3] => [4,3] => 2
[3,4,6,2,7,5,1] => [4,2,1] => [4,2,1] => 3
[3,4,6,5,1,2,7] => [3,4] => [4,3] => 2
[3,4,6,5,1,7,2] => [3,2,2] => [3,2,2] => 3
[3,4,6,5,2,1,7] => [3,2,2] => [3,2,2] => 3
[3,4,6,5,2,7,1] => [3,2,2] => [3,2,2] => 3
[3,4,6,5,7,1,2] => [3,4] => [4,3] => 2
[3,4,6,5,7,2,1] => [3,3,1] => [3,3,1] => 3
[3,4,6,7,1,2,5] => [7] => [7] => 1
[3,4,6,7,1,5,2] => [6,1] => [6,1] => 2
[3,4,6,7,2,1,5] => [5,2] => [5,2] => 2
[3,4,6,7,2,5,1] => [6,1] => [6,1] => 2
[3,4,6,7,5,1,2] => [5,2] => [5,2] => 2
[3,4,6,7,5,2,1] => [5,1,1] => [5,1,1] => 3
[3,4,7,1,2,5,6] => [7] => [7] => 1
[3,4,7,1,2,6,5] => [6,1] => [6,1] => 2
[3,4,7,1,5,2,6] => [5,2] => [5,2] => 2
[3,4,7,1,5,6,2] => [6,1] => [6,1] => 2
[3,4,7,1,6,2,5] => [4,3] => [4,3] => 2
[3,4,7,1,6,5,2] => [4,2,1] => [4,2,1] => 3
[3,4,7,2,1,5,6] => [4,3] => [4,3] => 2
[3,4,7,2,1,6,5] => [4,2,1] => [4,2,1] => 3
[3,4,7,2,5,1,6] => [5,2] => [5,2] => 2
[3,4,7,2,5,6,1] => [6,1] => [6,1] => 2
[3,4,7,2,6,1,5] => [4,3] => [4,3] => 2
[3,4,7,2,6,5,1] => [4,2,1] => [4,2,1] => 3
[3,4,7,5,1,2,6] => [3,4] => [4,3] => 2
[3,4,7,5,1,6,2] => [3,3,1] => [3,3,1] => 3
[3,4,7,5,2,1,6] => [3,2,2] => [3,2,2] => 3
[3,4,7,5,2,6,1] => [3,3,1] => [3,3,1] => 3
[3,4,7,5,6,1,2] => [3,4] => [4,3] => 2
[3,4,7,5,6,2,1] => [3,3,1] => [3,3,1] => 3
[3,4,7,6,1,2,5] => [3,4] => [4,3] => 2
[3,4,7,6,1,5,2] => [3,3,1] => [3,3,1] => 3
[3,4,7,6,2,1,5] => [3,2,2] => [3,2,2] => 3
[3,4,7,6,2,5,1] => [3,3,1] => [3,3,1] => 3
[3,4,7,6,5,1,2] => [3,2,2] => [3,2,2] => 3
[3,4,7,6,5,2,1] => [3,2,1,1] => [3,2,1,1] => 4
[3,5,1,2,4,6,7] => [7] => [7] => 1
[3,5,1,2,4,7,6] => [5,2] => [5,2] => 2
[3,5,1,2,6,4,7] => [4,3] => [4,3] => 2
[3,5,1,2,6,7,4] => [4,3] => [4,3] => 2
[3,5,1,2,7,4,6] => [4,3] => [4,3] => 2
[3,5,1,2,7,6,4] => [4,2,1] => [4,2,1] => 3
[3,5,1,4,2,6,7] => [4,3] => [4,3] => 2
[3,5,1,4,2,7,6] => [4,1,2] => [4,2,1] => 3
[3,5,1,4,6,2,7] => [4,3] => [4,3] => 2
[3,5,1,4,6,7,2] => [4,3] => [4,3] => 2
[3,5,1,4,7,2,6] => [4,3] => [4,3] => 2
[3,5,1,4,7,6,2] => [4,2,1] => [4,2,1] => 3
[3,5,1,6,2,4,7] => [3,4] => [4,3] => 2
[3,5,1,6,2,7,4] => [3,2,2] => [3,2,2] => 3
[3,5,1,6,4,2,7] => [3,2,2] => [3,2,2] => 3
[3,5,1,6,4,7,2] => [3,2,2] => [3,2,2] => 3
[3,5,1,6,7,2,4] => [3,4] => [4,3] => 2
[3,5,1,6,7,4,2] => [3,3,1] => [3,3,1] => 3
[3,5,1,7,2,4,6] => [3,4] => [4,3] => 2
[3,5,1,7,2,6,4] => [3,3,1] => [3,3,1] => 3
[3,5,1,7,4,2,6] => [3,2,2] => [3,2,2] => 3
[3,5,1,7,4,6,2] => [3,3,1] => [3,3,1] => 3
[3,5,1,7,6,2,4] => [3,1,3] => [3,3,1] => 3
[3,5,1,7,6,4,2] => [3,1,2,1] => [3,2,1,1] => 4
[3,5,2,1,4,6,7] => [3,4] => [4,3] => 2
[3,5,2,1,4,7,6] => [3,2,2] => [3,2,2] => 3
[3,5,2,1,6,4,7] => [3,1,3] => [3,3,1] => 3
[3,5,2,1,6,7,4] => [3,1,3] => [3,3,1] => 3
[3,5,2,1,7,4,6] => [3,1,3] => [3,3,1] => 3
[3,5,2,1,7,6,4] => [3,1,2,1] => [3,2,1,1] => 4
[3,5,2,4,1,6,7] => [4,3] => [4,3] => 2
[3,5,2,4,1,7,6] => [4,1,2] => [4,2,1] => 3
[3,5,2,4,6,1,7] => [4,3] => [4,3] => 2
[3,5,2,4,6,7,1] => [4,3] => [4,3] => 2
[3,5,2,4,7,1,6] => [4,3] => [4,3] => 2
[3,5,2,4,7,6,1] => [4,2,1] => [4,2,1] => 3
[3,5,2,6,1,4,7] => [3,4] => [4,3] => 2
[3,5,2,6,1,7,4] => [3,2,2] => [3,2,2] => 3
[3,5,2,6,4,1,7] => [3,2,2] => [3,2,2] => 3
[3,5,2,6,4,7,1] => [3,2,2] => [3,2,2] => 3
[3,5,2,6,7,1,4] => [3,4] => [4,3] => 2
[3,5,2,6,7,4,1] => [3,3,1] => [3,3,1] => 3
[3,5,2,7,1,4,6] => [3,4] => [4,3] => 2
[3,5,2,7,1,6,4] => [3,3,1] => [3,3,1] => 3
[3,5,2,7,4,1,6] => [3,2,2] => [3,2,2] => 3
[3,5,2,7,4,6,1] => [3,3,1] => [3,3,1] => 3
[3,5,2,7,6,1,4] => [3,1,3] => [3,3,1] => 3
[3,5,2,7,6,4,1] => [3,1,2,1] => [3,2,1,1] => 4
[3,5,4,1,2,6,7] => [2,5] => [5,2] => 2
[3,5,4,1,2,7,6] => [2,3,2] => [3,2,2] => 3
[3,5,4,1,6,2,7] => [2,2,3] => [3,2,2] => 3
[3,5,4,1,6,7,2] => [2,2,3] => [3,2,2] => 3
[3,5,4,1,7,2,6] => [2,2,3] => [3,2,2] => 3
[3,5,4,1,7,6,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,5,4,2,1,6,7] => [2,2,3] => [3,2,2] => 3
[3,5,4,2,1,7,6] => [2,2,1,2] => [2,2,2,1] => 4
[3,5,4,2,6,1,7] => [2,2,3] => [3,2,2] => 3
[3,5,4,2,6,7,1] => [2,2,3] => [3,2,2] => 3
[3,5,4,2,7,1,6] => [2,2,3] => [3,2,2] => 3
[3,5,4,2,7,6,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,5,4,6,1,2,7] => [2,5] => [5,2] => 2
[3,5,4,6,1,7,2] => [2,3,2] => [3,2,2] => 3
[3,5,4,6,2,1,7] => [2,3,2] => [3,2,2] => 3
[3,5,4,6,2,7,1] => [2,3,2] => [3,2,2] => 3
[3,5,4,6,7,1,2] => [2,5] => [5,2] => 2
[3,5,4,6,7,2,1] => [2,4,1] => [4,2,1] => 3
[3,5,4,7,1,2,6] => [2,5] => [5,2] => 2
[3,5,4,7,1,6,2] => [2,4,1] => [4,2,1] => 3
[3,5,4,7,2,1,6] => [2,3,2] => [3,2,2] => 3
[3,5,4,7,2,6,1] => [2,4,1] => [4,2,1] => 3
[3,5,4,7,6,1,2] => [2,2,3] => [3,2,2] => 3
[3,5,4,7,6,2,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,5,6,1,2,4,7] => [7] => [7] => 1
[3,5,6,1,2,7,4] => [5,2] => [5,2] => 2
[3,5,6,1,4,2,7] => [5,2] => [5,2] => 2
[3,5,6,1,4,7,2] => [5,2] => [5,2] => 2
[3,5,6,1,7,2,4] => [4,3] => [4,3] => 2
[3,5,6,1,7,4,2] => [4,2,1] => [4,2,1] => 3
[3,5,6,2,1,4,7] => [4,3] => [4,3] => 2
[3,5,6,2,1,7,4] => [4,1,2] => [4,2,1] => 3
[3,5,6,2,4,1,7] => [5,2] => [5,2] => 2
[3,5,6,2,4,7,1] => [5,2] => [5,2] => 2
[3,5,6,2,7,1,4] => [4,3] => [4,3] => 2
[3,5,6,2,7,4,1] => [4,2,1] => [4,2,1] => 3
[3,5,6,4,1,2,7] => [4,3] => [4,3] => 2
[3,5,6,4,1,7,2] => [4,1,2] => [4,2,1] => 3
[3,5,6,4,2,1,7] => [4,1,2] => [4,2,1] => 3
[3,5,6,4,2,7,1] => [4,1,2] => [4,2,1] => 3
[3,5,6,4,7,1,2] => [4,3] => [4,3] => 2
[3,5,6,4,7,2,1] => [4,2,1] => [4,2,1] => 3
[3,5,6,7,1,2,4] => [7] => [7] => 1
[3,5,6,7,1,4,2] => [6,1] => [6,1] => 2
[3,5,6,7,2,1,4] => [5,2] => [5,2] => 2
[3,5,6,7,2,4,1] => [6,1] => [6,1] => 2
[3,5,6,7,4,1,2] => [5,2] => [5,2] => 2
[3,5,6,7,4,2,1] => [5,1,1] => [5,1,1] => 3
[3,5,7,1,2,4,6] => [7] => [7] => 1
[3,5,7,1,2,6,4] => [6,1] => [6,1] => 2
[3,5,7,1,4,2,6] => [5,2] => [5,2] => 2
[3,5,7,1,4,6,2] => [6,1] => [6,1] => 2
[3,5,7,1,6,2,4] => [4,3] => [4,3] => 2
[3,5,7,1,6,4,2] => [4,2,1] => [4,2,1] => 3
[3,5,7,2,1,4,6] => [4,3] => [4,3] => 2
[3,5,7,2,1,6,4] => [4,2,1] => [4,2,1] => 3
[3,5,7,2,4,1,6] => [5,2] => [5,2] => 2
[3,5,7,2,4,6,1] => [6,1] => [6,1] => 2
[3,5,7,2,6,1,4] => [4,3] => [4,3] => 2
[3,5,7,2,6,4,1] => [4,2,1] => [4,2,1] => 3
[3,5,7,4,1,2,6] => [4,3] => [4,3] => 2
[3,5,7,4,1,6,2] => [4,2,1] => [4,2,1] => 3
[3,5,7,4,2,1,6] => [4,1,2] => [4,2,1] => 3
[3,5,7,4,2,6,1] => [4,2,1] => [4,2,1] => 3
[3,5,7,4,6,1,2] => [4,3] => [4,3] => 2
[3,5,7,4,6,2,1] => [4,2,1] => [4,2,1] => 3
[3,5,7,6,1,2,4] => [3,4] => [4,3] => 2
[3,5,7,6,1,4,2] => [3,3,1] => [3,3,1] => 3
[3,5,7,6,2,1,4] => [3,2,2] => [3,2,2] => 3
[3,5,7,6,2,4,1] => [3,3,1] => [3,3,1] => 3
[3,5,7,6,4,1,2] => [3,2,2] => [3,2,2] => 3
[3,5,7,6,4,2,1] => [3,2,1,1] => [3,2,1,1] => 4
[3,6,1,2,4,5,7] => [7] => [7] => 1
[3,6,1,2,4,7,5] => [5,2] => [5,2] => 2
[3,6,1,2,5,4,7] => [5,2] => [5,2] => 2
[3,6,1,2,5,7,4] => [5,2] => [5,2] => 2
[3,6,1,2,7,4,5] => [4,3] => [4,3] => 2
[3,6,1,2,7,5,4] => [4,2,1] => [4,2,1] => 3
[3,6,1,4,2,5,7] => [4,3] => [4,3] => 2
[3,6,1,4,2,7,5] => [4,1,2] => [4,2,1] => 3
[3,6,1,4,5,2,7] => [5,2] => [5,2] => 2
[3,6,1,4,5,7,2] => [5,2] => [5,2] => 2
[3,6,1,4,7,2,5] => [4,3] => [4,3] => 2
[3,6,1,4,7,5,2] => [4,2,1] => [4,2,1] => 3
[3,6,1,5,2,4,7] => [3,4] => [4,3] => 2
[3,6,1,5,2,7,4] => [3,2,2] => [3,2,2] => 3
[3,6,1,5,4,2,7] => [3,2,2] => [3,2,2] => 3
[3,6,1,5,4,7,2] => [3,2,2] => [3,2,2] => 3
[3,6,1,5,7,2,4] => [3,4] => [4,3] => 2
[3,6,1,5,7,4,2] => [3,3,1] => [3,3,1] => 3
[3,6,1,7,2,4,5] => [3,4] => [4,3] => 2
[3,6,1,7,2,5,4] => [3,3,1] => [3,3,1] => 3
[3,6,1,7,4,2,5] => [3,2,2] => [3,2,2] => 3
[3,6,1,7,4,5,2] => [3,3,1] => [3,3,1] => 3
[3,6,1,7,5,2,4] => [3,2,2] => [3,2,2] => 3
[3,6,1,7,5,4,2] => [3,2,1,1] => [3,2,1,1] => 4
[3,6,2,1,4,5,7] => [3,4] => [4,3] => 2
[3,6,2,1,4,7,5] => [3,2,2] => [3,2,2] => 3
[3,6,2,1,5,4,7] => [3,2,2] => [3,2,2] => 3
[3,6,2,1,5,7,4] => [3,2,2] => [3,2,2] => 3
[3,6,2,1,7,4,5] => [3,1,3] => [3,3,1] => 3
[3,6,2,1,7,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[3,6,2,4,1,5,7] => [4,3] => [4,3] => 2
[3,6,2,4,1,7,5] => [4,1,2] => [4,2,1] => 3
[3,6,2,4,5,1,7] => [5,2] => [5,2] => 2
[3,6,2,4,5,7,1] => [5,2] => [5,2] => 2
[3,6,2,4,7,1,5] => [4,3] => [4,3] => 2
[3,6,2,4,7,5,1] => [4,2,1] => [4,2,1] => 3
[3,6,2,5,1,4,7] => [3,4] => [4,3] => 2
[3,6,2,5,1,7,4] => [3,2,2] => [3,2,2] => 3
[3,6,2,5,4,1,7] => [3,2,2] => [3,2,2] => 3
[3,6,2,5,4,7,1] => [3,2,2] => [3,2,2] => 3
[3,6,2,5,7,1,4] => [3,4] => [4,3] => 2
[3,6,2,5,7,4,1] => [3,3,1] => [3,3,1] => 3
[3,6,2,7,1,4,5] => [3,4] => [4,3] => 2
[3,6,2,7,1,5,4] => [3,3,1] => [3,3,1] => 3
[3,6,2,7,4,1,5] => [3,2,2] => [3,2,2] => 3
[3,6,2,7,4,5,1] => [3,3,1] => [3,3,1] => 3
[3,6,2,7,5,1,4] => [3,2,2] => [3,2,2] => 3
[3,6,2,7,5,4,1] => [3,2,1,1] => [3,2,1,1] => 4
[3,6,4,1,2,5,7] => [2,5] => [5,2] => 2
[3,6,4,1,2,7,5] => [2,3,2] => [3,2,2] => 3
[3,6,4,1,5,2,7] => [2,3,2] => [3,2,2] => 3
[3,6,4,1,5,7,2] => [2,3,2] => [3,2,2] => 3
[3,6,4,1,7,2,5] => [2,2,3] => [3,2,2] => 3
[3,6,4,1,7,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,6,4,2,1,5,7] => [2,2,3] => [3,2,2] => 3
[3,6,4,2,1,7,5] => [2,2,1,2] => [2,2,2,1] => 4
[3,6,4,2,5,1,7] => [2,3,2] => [3,2,2] => 3
[3,6,4,2,5,7,1] => [2,3,2] => [3,2,2] => 3
[3,6,4,2,7,1,5] => [2,2,3] => [3,2,2] => 3
[3,6,4,2,7,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,6,4,5,1,2,7] => [2,5] => [5,2] => 2
[3,6,4,5,1,7,2] => [2,3,2] => [3,2,2] => 3
[3,6,4,5,2,1,7] => [2,3,2] => [3,2,2] => 3
[3,6,4,5,2,7,1] => [2,3,2] => [3,2,2] => 3
[3,6,4,5,7,1,2] => [2,5] => [5,2] => 2
[3,6,4,5,7,2,1] => [2,4,1] => [4,2,1] => 3
[3,6,4,7,1,2,5] => [2,5] => [5,2] => 2
[3,6,4,7,1,5,2] => [2,4,1] => [4,2,1] => 3
[3,6,4,7,2,1,5] => [2,3,2] => [3,2,2] => 3
[3,6,4,7,2,5,1] => [2,4,1] => [4,2,1] => 3
[3,6,4,7,5,1,2] => [2,3,2] => [3,2,2] => 3
[3,6,4,7,5,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[3,6,5,1,2,4,7] => [2,5] => [5,2] => 2
[3,6,5,1,2,7,4] => [2,3,2] => [3,2,2] => 3
[3,6,5,1,4,2,7] => [2,3,2] => [3,2,2] => 3
[3,6,5,1,4,7,2] => [2,3,2] => [3,2,2] => 3
[3,6,5,1,7,2,4] => [2,2,3] => [3,2,2] => 3
[3,6,5,1,7,4,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,6,5,2,1,4,7] => [2,2,3] => [3,2,2] => 3
[3,6,5,2,1,7,4] => [2,2,1,2] => [2,2,2,1] => 4
[3,6,5,2,4,1,7] => [2,3,2] => [3,2,2] => 3
[3,6,5,2,4,7,1] => [2,3,2] => [3,2,2] => 3
[3,6,5,2,7,1,4] => [2,2,3] => [3,2,2] => 3
[3,6,5,2,7,4,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,6,5,4,1,2,7] => [2,2,3] => [3,2,2] => 3
[3,6,5,4,1,7,2] => [2,2,1,2] => [2,2,2,1] => 4
[3,6,5,4,2,1,7] => [2,2,1,2] => [2,2,2,1] => 4
[3,6,5,4,2,7,1] => [2,2,1,2] => [2,2,2,1] => 4
[3,6,5,4,7,1,2] => [2,2,3] => [3,2,2] => 3
[3,6,5,4,7,2,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,6,5,7,1,2,4] => [2,5] => [5,2] => 2
[3,6,5,7,1,4,2] => [2,4,1] => [4,2,1] => 3
[3,6,5,7,2,1,4] => [2,3,2] => [3,2,2] => 3
[3,6,5,7,2,4,1] => [2,4,1] => [4,2,1] => 3
[3,6,5,7,4,1,2] => [2,3,2] => [3,2,2] => 3
[3,6,5,7,4,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[3,6,7,1,2,4,5] => [7] => [7] => 1
[3,6,7,1,2,5,4] => [6,1] => [6,1] => 2
[3,6,7,1,4,2,5] => [5,2] => [5,2] => 2
[3,6,7,1,4,5,2] => [6,1] => [6,1] => 2
[3,6,7,1,5,2,4] => [5,2] => [5,2] => 2
[3,6,7,1,5,4,2] => [5,1,1] => [5,1,1] => 3
[3,6,7,2,1,4,5] => [4,3] => [4,3] => 2
[3,6,7,2,1,5,4] => [4,2,1] => [4,2,1] => 3
[3,6,7,2,4,1,5] => [5,2] => [5,2] => 2
[3,6,7,2,4,5,1] => [6,1] => [6,1] => 2
[3,6,7,2,5,1,4] => [5,2] => [5,2] => 2
[3,6,7,2,5,4,1] => [5,1,1] => [5,1,1] => 3
[3,6,7,4,1,2,5] => [4,3] => [4,3] => 2
[3,6,7,4,1,5,2] => [4,2,1] => [4,2,1] => 3
[3,6,7,4,2,1,5] => [4,1,2] => [4,2,1] => 3
[3,6,7,4,2,5,1] => [4,2,1] => [4,2,1] => 3
[3,6,7,4,5,1,2] => [5,2] => [5,2] => 2
[3,6,7,4,5,2,1] => [5,1,1] => [5,1,1] => 3
[3,6,7,5,1,2,4] => [3,4] => [4,3] => 2
[3,6,7,5,1,4,2] => [3,3,1] => [3,3,1] => 3
[3,6,7,5,2,1,4] => [3,2,2] => [3,2,2] => 3
[3,6,7,5,2,4,1] => [3,3,1] => [3,3,1] => 3
[3,6,7,5,4,1,2] => [3,2,2] => [3,2,2] => 3
[3,6,7,5,4,2,1] => [3,2,1,1] => [3,2,1,1] => 4
[3,7,1,2,4,5,6] => [7] => [7] => 1
[3,7,1,2,4,6,5] => [6,1] => [6,1] => 2
[3,7,1,2,5,4,6] => [5,2] => [5,2] => 2
[3,7,1,2,5,6,4] => [6,1] => [6,1] => 2
[3,7,1,2,6,4,5] => [4,3] => [4,3] => 2
[3,7,1,2,6,5,4] => [4,2,1] => [4,2,1] => 3
[3,7,1,4,2,5,6] => [4,3] => [4,3] => 2
[3,7,1,4,2,6,5] => [4,2,1] => [4,2,1] => 3
[3,7,1,4,5,2,6] => [5,2] => [5,2] => 2
[3,7,1,4,5,6,2] => [6,1] => [6,1] => 2
[3,7,1,4,6,2,5] => [4,3] => [4,3] => 2
[3,7,1,4,6,5,2] => [4,2,1] => [4,2,1] => 3
[3,7,1,5,2,4,6] => [3,4] => [4,3] => 2
[3,7,1,5,2,6,4] => [3,3,1] => [3,3,1] => 3
[3,7,1,5,4,2,6] => [3,2,2] => [3,2,2] => 3
[3,7,1,5,4,6,2] => [3,3,1] => [3,3,1] => 3
[3,7,1,5,6,2,4] => [3,4] => [4,3] => 2
[3,7,1,5,6,4,2] => [3,3,1] => [3,3,1] => 3
[3,7,1,6,2,4,5] => [3,4] => [4,3] => 2
[3,7,1,6,2,5,4] => [3,3,1] => [3,3,1] => 3
[3,7,1,6,4,2,5] => [3,2,2] => [3,2,2] => 3
[3,7,1,6,4,5,2] => [3,3,1] => [3,3,1] => 3
[3,7,1,6,5,2,4] => [3,2,2] => [3,2,2] => 3
[3,7,1,6,5,4,2] => [3,2,1,1] => [3,2,1,1] => 4
[3,7,2,1,4,5,6] => [3,4] => [4,3] => 2
[3,7,2,1,4,6,5] => [3,3,1] => [3,3,1] => 3
[3,7,2,1,5,4,6] => [3,2,2] => [3,2,2] => 3
[3,7,2,1,5,6,4] => [3,3,1] => [3,3,1] => 3
[3,7,2,1,6,4,5] => [3,1,3] => [3,3,1] => 3
[3,7,2,1,6,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[3,7,2,4,1,5,6] => [4,3] => [4,3] => 2
[3,7,2,4,1,6,5] => [4,2,1] => [4,2,1] => 3
[3,7,2,4,5,1,6] => [5,2] => [5,2] => 2
[3,7,2,4,5,6,1] => [6,1] => [6,1] => 2
[3,7,2,4,6,1,5] => [4,3] => [4,3] => 2
[3,7,2,4,6,5,1] => [4,2,1] => [4,2,1] => 3
[3,7,2,5,1,4,6] => [3,4] => [4,3] => 2
[3,7,2,5,1,6,4] => [3,3,1] => [3,3,1] => 3
[3,7,2,5,4,1,6] => [3,2,2] => [3,2,2] => 3
[3,7,2,5,4,6,1] => [3,3,1] => [3,3,1] => 3
[3,7,2,5,6,1,4] => [3,4] => [4,3] => 2
[3,7,2,5,6,4,1] => [3,3,1] => [3,3,1] => 3
[3,7,2,6,1,4,5] => [3,4] => [4,3] => 2
[3,7,2,6,1,5,4] => [3,3,1] => [3,3,1] => 3
[3,7,2,6,4,1,5] => [3,2,2] => [3,2,2] => 3
[3,7,2,6,4,5,1] => [3,3,1] => [3,3,1] => 3
[3,7,2,6,5,1,4] => [3,2,2] => [3,2,2] => 3
[3,7,2,6,5,4,1] => [3,2,1,1] => [3,2,1,1] => 4
[3,7,4,1,2,5,6] => [2,5] => [5,2] => 2
[3,7,4,1,2,6,5] => [2,4,1] => [4,2,1] => 3
[3,7,4,1,5,2,6] => [2,3,2] => [3,2,2] => 3
[3,7,4,1,5,6,2] => [2,4,1] => [4,2,1] => 3
[3,7,4,1,6,2,5] => [2,2,3] => [3,2,2] => 3
[3,7,4,1,6,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,4,2,1,5,6] => [2,2,3] => [3,2,2] => 3
[3,7,4,2,1,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,4,2,5,1,6] => [2,3,2] => [3,2,2] => 3
[3,7,4,2,5,6,1] => [2,4,1] => [4,2,1] => 3
[3,7,4,2,6,1,5] => [2,2,3] => [3,2,2] => 3
[3,7,4,2,6,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,4,5,1,2,6] => [2,5] => [5,2] => 2
[3,7,4,5,1,6,2] => [2,4,1] => [4,2,1] => 3
[3,7,4,5,2,1,6] => [2,3,2] => [3,2,2] => 3
[3,7,4,5,2,6,1] => [2,4,1] => [4,2,1] => 3
[3,7,4,5,6,1,2] => [2,5] => [5,2] => 2
[3,7,4,5,6,2,1] => [2,4,1] => [4,2,1] => 3
[3,7,4,6,1,2,5] => [2,5] => [5,2] => 2
[3,7,4,6,1,5,2] => [2,4,1] => [4,2,1] => 3
[3,7,4,6,2,1,5] => [2,3,2] => [3,2,2] => 3
[3,7,4,6,2,5,1] => [2,4,1] => [4,2,1] => 3
[3,7,4,6,5,1,2] => [2,3,2] => [3,2,2] => 3
[3,7,4,6,5,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[3,7,5,1,2,4,6] => [2,5] => [5,2] => 2
[3,7,5,1,2,6,4] => [2,4,1] => [4,2,1] => 3
[3,7,5,1,4,2,6] => [2,3,2] => [3,2,2] => 3
[3,7,5,1,4,6,2] => [2,4,1] => [4,2,1] => 3
[3,7,5,1,6,2,4] => [2,2,3] => [3,2,2] => 3
[3,7,5,1,6,4,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,5,2,1,4,6] => [2,2,3] => [3,2,2] => 3
[3,7,5,2,1,6,4] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,5,2,4,1,6] => [2,3,2] => [3,2,2] => 3
[3,7,5,2,4,6,1] => [2,4,1] => [4,2,1] => 3
[3,7,5,2,6,1,4] => [2,2,3] => [3,2,2] => 3
[3,7,5,2,6,4,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,5,4,1,2,6] => [2,2,3] => [3,2,2] => 3
[3,7,5,4,1,6,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,5,4,2,1,6] => [2,2,1,2] => [2,2,2,1] => 4
[3,7,5,4,2,6,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,5,4,6,1,2] => [2,2,3] => [3,2,2] => 3
[3,7,5,4,6,2,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,5,6,1,2,4] => [2,5] => [5,2] => 2
[3,7,5,6,1,4,2] => [2,4,1] => [4,2,1] => 3
[3,7,5,6,2,1,4] => [2,3,2] => [3,2,2] => 3
[3,7,5,6,2,4,1] => [2,4,1] => [4,2,1] => 3
[3,7,5,6,4,1,2] => [2,3,2] => [3,2,2] => 3
[3,7,5,6,4,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[3,7,6,1,2,4,5] => [2,5] => [5,2] => 2
[3,7,6,1,2,5,4] => [2,4,1] => [4,2,1] => 3
[3,7,6,1,4,2,5] => [2,3,2] => [3,2,2] => 3
[3,7,6,1,4,5,2] => [2,4,1] => [4,2,1] => 3
[3,7,6,1,5,2,4] => [2,3,2] => [3,2,2] => 3
[3,7,6,1,5,4,2] => [2,3,1,1] => [3,2,1,1] => 4
[3,7,6,2,1,4,5] => [2,2,3] => [3,2,2] => 3
[3,7,6,2,1,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,6,2,4,1,5] => [2,3,2] => [3,2,2] => 3
[3,7,6,2,4,5,1] => [2,4,1] => [4,2,1] => 3
[3,7,6,2,5,1,4] => [2,3,2] => [3,2,2] => 3
[3,7,6,2,5,4,1] => [2,3,1,1] => [3,2,1,1] => 4
[3,7,6,4,1,2,5] => [2,2,3] => [3,2,2] => 3
[3,7,6,4,1,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,6,4,2,1,5] => [2,2,1,2] => [2,2,2,1] => 4
[3,7,6,4,2,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[3,7,6,4,5,1,2] => [2,3,2] => [3,2,2] => 3
[3,7,6,4,5,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[3,7,6,5,1,2,4] => [2,1,4] => [4,2,1] => 3
[3,7,6,5,1,4,2] => [2,1,3,1] => [3,2,1,1] => 4
[3,7,6,5,2,1,4] => [2,1,2,2] => [2,2,2,1] => 4
[3,7,6,5,2,4,1] => [2,1,3,1] => [3,2,1,1] => 4
[3,7,6,5,4,1,2] => [2,1,2,2] => [2,2,2,1] => 4
[3,7,6,5,4,2,1] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[4,1,2,3,5,6,7] => [7] => [7] => 1
[4,1,2,3,5,7,6] => [5,2] => [5,2] => 2
[4,1,2,3,6,5,7] => [4,3] => [4,3] => 2
[4,1,2,3,6,7,5] => [4,3] => [4,3] => 2
[4,1,2,3,7,5,6] => [4,3] => [4,3] => 2
[4,1,2,3,7,6,5] => [4,2,1] => [4,2,1] => 3
[4,1,2,5,3,6,7] => [3,4] => [4,3] => 2
[4,1,2,5,3,7,6] => [3,2,2] => [3,2,2] => 3
[4,1,2,5,6,3,7] => [3,4] => [4,3] => 2
[4,1,2,5,6,7,3] => [3,4] => [4,3] => 2
[4,1,2,5,7,3,6] => [3,4] => [4,3] => 2
[4,1,2,5,7,6,3] => [3,3,1] => [3,3,1] => 3
[4,1,2,6,3,5,7] => [3,4] => [4,3] => 2
[4,1,2,6,3,7,5] => [3,2,2] => [3,2,2] => 3
[4,1,2,6,5,3,7] => [3,2,2] => [3,2,2] => 3
[4,1,2,6,5,7,3] => [3,2,2] => [3,2,2] => 3
[4,1,2,6,7,3,5] => [3,4] => [4,3] => 2
[4,1,2,6,7,5,3] => [3,3,1] => [3,3,1] => 3
[4,1,2,7,3,5,6] => [3,4] => [4,3] => 2
[4,1,2,7,3,6,5] => [3,3,1] => [3,3,1] => 3
[4,1,2,7,5,3,6] => [3,2,2] => [3,2,2] => 3
[4,1,2,7,5,6,3] => [3,3,1] => [3,3,1] => 3
[4,1,2,7,6,3,5] => [3,1,3] => [3,3,1] => 3
[4,1,2,7,6,5,3] => [3,1,2,1] => [3,2,1,1] => 4
[4,1,3,2,5,6,7] => [3,4] => [4,3] => 2
[4,1,3,2,5,7,6] => [3,2,2] => [3,2,2] => 3
[4,1,3,2,6,5,7] => [3,1,3] => [3,3,1] => 3
[4,1,3,2,6,7,5] => [3,1,3] => [3,3,1] => 3
[4,1,3,2,7,5,6] => [3,1,3] => [3,3,1] => 3
[4,1,3,2,7,6,5] => [3,1,2,1] => [3,2,1,1] => 4
[4,1,3,5,2,6,7] => [3,4] => [4,3] => 2
[4,1,3,5,2,7,6] => [3,2,2] => [3,2,2] => 3
[4,1,3,5,6,2,7] => [3,4] => [4,3] => 2
[4,1,3,5,6,7,2] => [3,4] => [4,3] => 2
[4,1,3,5,7,2,6] => [3,4] => [4,3] => 2
[4,1,3,5,7,6,2] => [3,3,1] => [3,3,1] => 3
[4,1,3,6,2,5,7] => [3,4] => [4,3] => 2
[4,1,3,6,2,7,5] => [3,2,2] => [3,2,2] => 3
[4,1,3,6,5,2,7] => [3,2,2] => [3,2,2] => 3
[4,1,3,6,5,7,2] => [3,2,2] => [3,2,2] => 3
[4,1,3,6,7,2,5] => [3,4] => [4,3] => 2
[4,1,3,6,7,5,2] => [3,3,1] => [3,3,1] => 3
[4,1,3,7,2,5,6] => [3,4] => [4,3] => 2
[4,1,3,7,2,6,5] => [3,3,1] => [3,3,1] => 3
[4,1,3,7,5,2,6] => [3,2,2] => [3,2,2] => 3
[4,1,3,7,5,6,2] => [3,3,1] => [3,3,1] => 3
[4,1,3,7,6,2,5] => [3,1,3] => [3,3,1] => 3
[4,1,3,7,6,5,2] => [3,1,2,1] => [3,2,1,1] => 4
[4,1,5,2,3,6,7] => [2,5] => [5,2] => 2
[4,1,5,2,3,7,6] => [2,3,2] => [3,2,2] => 3
[4,1,5,2,6,3,7] => [2,2,3] => [3,2,2] => 3
[4,1,5,2,6,7,3] => [2,2,3] => [3,2,2] => 3
[4,1,5,2,7,3,6] => [2,2,3] => [3,2,2] => 3
[4,1,5,2,7,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[4,1,5,3,2,6,7] => [2,2,3] => [3,2,2] => 3
[4,1,5,3,2,7,6] => [2,2,1,2] => [2,2,2,1] => 4
[4,1,5,3,6,2,7] => [2,2,3] => [3,2,2] => 3
[4,1,5,3,6,7,2] => [2,2,3] => [3,2,2] => 3
[4,1,5,3,7,2,6] => [2,2,3] => [3,2,2] => 3
[4,1,5,3,7,6,2] => [2,2,2,1] => [2,2,2,1] => 4
[4,1,5,6,2,3,7] => [2,5] => [5,2] => 2
[4,1,5,6,2,7,3] => [2,3,2] => [3,2,2] => 3
[4,1,5,6,3,2,7] => [2,3,2] => [3,2,2] => 3
[4,1,5,6,3,7,2] => [2,3,2] => [3,2,2] => 3
[4,1,5,6,7,2,3] => [2,5] => [5,2] => 2
[4,1,5,6,7,3,2] => [2,4,1] => [4,2,1] => 3
[4,1,5,7,2,3,6] => [2,5] => [5,2] => 2
[4,1,5,7,2,6,3] => [2,4,1] => [4,2,1] => 3
[4,1,5,7,3,2,6] => [2,3,2] => [3,2,2] => 3
[4,1,5,7,3,6,2] => [2,4,1] => [4,2,1] => 3
[4,1,5,7,6,2,3] => [2,2,3] => [3,2,2] => 3
[4,1,5,7,6,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[4,1,6,2,3,5,7] => [2,5] => [5,2] => 2
[4,1,6,2,3,7,5] => [2,3,2] => [3,2,2] => 3
[4,1,6,2,5,3,7] => [2,3,2] => [3,2,2] => 3
[4,1,6,2,5,7,3] => [2,3,2] => [3,2,2] => 3
[4,1,6,2,7,3,5] => [2,2,3] => [3,2,2] => 3
[4,1,6,2,7,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[4,1,6,3,2,5,7] => [2,2,3] => [3,2,2] => 3
[4,1,6,3,2,7,5] => [2,2,1,2] => [2,2,2,1] => 4
[4,1,6,3,5,2,7] => [2,3,2] => [3,2,2] => 3
[4,1,6,3,5,7,2] => [2,3,2] => [3,2,2] => 3
[4,1,6,3,7,2,5] => [2,2,3] => [3,2,2] => 3
[4,1,6,3,7,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[4,1,6,5,2,3,7] => [2,1,4] => [4,2,1] => 3
[4,1,6,5,2,7,3] => [2,1,2,2] => [2,2,2,1] => 4
[4,1,6,5,3,2,7] => [2,1,2,2] => [2,2,2,1] => 4
[4,1,6,5,3,7,2] => [2,1,2,2] => [2,2,2,1] => 4
[4,1,6,5,7,2,3] => [2,1,4] => [4,2,1] => 3
[4,1,6,5,7,3,2] => [2,1,3,1] => [3,2,1,1] => 4
[4,1,6,7,2,3,5] => [2,5] => [5,2] => 2
[4,1,6,7,2,5,3] => [2,4,1] => [4,2,1] => 3
[4,1,6,7,3,2,5] => [2,3,2] => [3,2,2] => 3
[4,1,6,7,3,5,2] => [2,4,1] => [4,2,1] => 3
[4,1,6,7,5,2,3] => [2,3,2] => [3,2,2] => 3
[4,1,6,7,5,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[4,1,7,2,3,5,6] => [2,5] => [5,2] => 2
[4,1,7,2,3,6,5] => [2,4,1] => [4,2,1] => 3
[4,1,7,2,5,3,6] => [2,3,2] => [3,2,2] => 3
[4,1,7,2,5,6,3] => [2,4,1] => [4,2,1] => 3
[4,1,7,2,6,3,5] => [2,2,3] => [3,2,2] => 3
[4,1,7,2,6,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[4,1,7,3,2,5,6] => [2,2,3] => [3,2,2] => 3
[4,1,7,3,2,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[4,1,7,3,5,2,6] => [2,3,2] => [3,2,2] => 3
[4,1,7,3,5,6,2] => [2,4,1] => [4,2,1] => 3
[4,1,7,3,6,2,5] => [2,2,3] => [3,2,2] => 3
[4,1,7,3,6,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[4,1,7,5,2,3,6] => [2,1,4] => [4,2,1] => 3
[4,1,7,5,2,6,3] => [2,1,3,1] => [3,2,1,1] => 4
[4,1,7,5,3,2,6] => [2,1,2,2] => [2,2,2,1] => 4
[4,1,7,5,3,6,2] => [2,1,3,1] => [3,2,1,1] => 4
[4,1,7,5,6,2,3] => [2,1,4] => [4,2,1] => 3
[4,1,7,5,6,3,2] => [2,1,3,1] => [3,2,1,1] => 4
[4,1,7,6,2,3,5] => [2,1,4] => [4,2,1] => 3
[4,1,7,6,2,5,3] => [2,1,3,1] => [3,2,1,1] => 4
[4,1,7,6,3,2,5] => [2,1,2,2] => [2,2,2,1] => 4
[4,1,7,6,3,5,2] => [2,1,3,1] => [3,2,1,1] => 4
[4,1,7,6,5,2,3] => [2,1,2,2] => [2,2,2,1] => 4
[4,1,7,6,5,3,2] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[4,2,1,3,5,6,7] => [2,5] => [5,2] => 2
[4,2,1,3,5,7,6] => [2,3,2] => [3,2,2] => 3
[4,2,1,3,6,5,7] => [2,2,3] => [3,2,2] => 3
[4,2,1,3,6,7,5] => [2,2,3] => [3,2,2] => 3
[4,2,1,3,7,5,6] => [2,2,3] => [3,2,2] => 3
[4,2,1,3,7,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[4,2,1,5,3,6,7] => [2,1,4] => [4,2,1] => 3
[4,2,1,5,3,7,6] => [2,1,2,2] => [2,2,2,1] => 4
[4,2,1,5,6,3,7] => [2,1,4] => [4,2,1] => 3
[4,2,1,5,6,7,3] => [2,1,4] => [4,2,1] => 3
[4,2,1,5,7,3,6] => [2,1,4] => [4,2,1] => 3
[4,2,1,5,7,6,3] => [2,1,3,1] => [3,2,1,1] => 4
[4,2,1,6,3,5,7] => [2,1,4] => [4,2,1] => 3
[4,2,1,6,3,7,5] => [2,1,2,2] => [2,2,2,1] => 4
[4,2,1,6,5,3,7] => [2,1,2,2] => [2,2,2,1] => 4
[4,2,1,6,5,7,3] => [2,1,2,2] => [2,2,2,1] => 4
[4,2,1,6,7,3,5] => [2,1,4] => [4,2,1] => 3
[4,2,1,6,7,5,3] => [2,1,3,1] => [3,2,1,1] => 4
[4,2,1,7,3,5,6] => [2,1,4] => [4,2,1] => 3
[4,2,1,7,3,6,5] => [2,1,3,1] => [3,2,1,1] => 4
[4,2,1,7,5,3,6] => [2,1,2,2] => [2,2,2,1] => 4
[4,2,1,7,5,6,3] => [2,1,3,1] => [3,2,1,1] => 4
[4,2,1,7,6,3,5] => [2,1,1,3] => [3,2,1,1] => 4
[4,2,1,7,6,5,3] => [2,1,1,2,1] => [2,2,1,1,1] => 5
[4,2,3,1,5,6,7] => [3,4] => [4,3] => 2
[4,2,3,1,5,7,6] => [3,2,2] => [3,2,2] => 3
[4,2,3,1,6,5,7] => [3,1,3] => [3,3,1] => 3
[4,2,3,1,6,7,5] => [3,1,3] => [3,3,1] => 3
[4,2,3,1,7,5,6] => [3,1,3] => [3,3,1] => 3
[4,2,3,1,7,6,5] => [3,1,2,1] => [3,2,1,1] => 4
[4,2,3,5,1,6,7] => [3,4] => [4,3] => 2
[4,2,3,5,1,7,6] => [3,2,2] => [3,2,2] => 3
[4,2,3,5,6,1,7] => [3,4] => [4,3] => 2
[4,2,3,5,6,7,1] => [3,4] => [4,3] => 2
[4,2,3,5,7,1,6] => [3,4] => [4,3] => 2
[4,2,3,5,7,6,1] => [3,3,1] => [3,3,1] => 3
[4,2,3,6,1,5,7] => [3,4] => [4,3] => 2
[4,2,3,6,1,7,5] => [3,2,2] => [3,2,2] => 3
[4,2,3,6,5,1,7] => [3,2,2] => [3,2,2] => 3
[4,2,3,6,5,7,1] => [3,2,2] => [3,2,2] => 3
[4,2,3,6,7,1,5] => [3,4] => [4,3] => 2
[4,2,3,6,7,5,1] => [3,3,1] => [3,3,1] => 3
[4,2,3,7,1,5,6] => [3,4] => [4,3] => 2
[4,2,3,7,1,6,5] => [3,3,1] => [3,3,1] => 3
[4,2,3,7,5,1,6] => [3,2,2] => [3,2,2] => 3
[4,2,3,7,5,6,1] => [3,3,1] => [3,3,1] => 3
[4,2,3,7,6,1,5] => [3,1,3] => [3,3,1] => 3
[4,2,3,7,6,5,1] => [3,1,2,1] => [3,2,1,1] => 4
[4,2,5,1,3,6,7] => [2,5] => [5,2] => 2
[4,2,5,1,3,7,6] => [2,3,2] => [3,2,2] => 3
[4,2,5,1,6,3,7] => [2,2,3] => [3,2,2] => 3
[4,2,5,1,6,7,3] => [2,2,3] => [3,2,2] => 3
[4,2,5,1,7,3,6] => [2,2,3] => [3,2,2] => 3
[4,2,5,1,7,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[4,2,5,3,1,6,7] => [2,2,3] => [3,2,2] => 3
[4,2,5,3,1,7,6] => [2,2,1,2] => [2,2,2,1] => 4
[4,2,5,3,6,1,7] => [2,2,3] => [3,2,2] => 3
[4,2,5,3,6,7,1] => [2,2,3] => [3,2,2] => 3
[4,2,5,3,7,1,6] => [2,2,3] => [3,2,2] => 3
[4,2,5,3,7,6,1] => [2,2,2,1] => [2,2,2,1] => 4
[4,2,5,6,1,3,7] => [2,5] => [5,2] => 2
[4,2,5,6,1,7,3] => [2,3,2] => [3,2,2] => 3
[4,2,5,6,3,1,7] => [2,3,2] => [3,2,2] => 3
[4,2,5,6,3,7,1] => [2,3,2] => [3,2,2] => 3
[4,2,5,6,7,1,3] => [2,5] => [5,2] => 2
[4,2,5,6,7,3,1] => [2,4,1] => [4,2,1] => 3
[4,2,5,7,1,3,6] => [2,5] => [5,2] => 2
[4,2,5,7,1,6,3] => [2,4,1] => [4,2,1] => 3
[4,2,5,7,3,1,6] => [2,3,2] => [3,2,2] => 3
[4,2,5,7,3,6,1] => [2,4,1] => [4,2,1] => 3
[4,2,5,7,6,1,3] => [2,2,3] => [3,2,2] => 3
[4,2,5,7,6,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[4,2,6,1,3,5,7] => [2,5] => [5,2] => 2
[4,2,6,1,3,7,5] => [2,3,2] => [3,2,2] => 3
[4,2,6,1,5,3,7] => [2,3,2] => [3,2,2] => 3
[4,2,6,1,5,7,3] => [2,3,2] => [3,2,2] => 3
[4,2,6,1,7,3,5] => [2,2,3] => [3,2,2] => 3
[4,2,6,1,7,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[4,2,6,3,1,5,7] => [2,2,3] => [3,2,2] => 3
[4,2,6,3,1,7,5] => [2,2,1,2] => [2,2,2,1] => 4
[4,2,6,3,5,1,7] => [2,3,2] => [3,2,2] => 3
[4,2,6,3,5,7,1] => [2,3,2] => [3,2,2] => 3
[4,2,6,3,7,1,5] => [2,2,3] => [3,2,2] => 3
[4,2,6,3,7,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[4,2,6,5,1,3,7] => [2,1,4] => [4,2,1] => 3
[4,2,6,5,1,7,3] => [2,1,2,2] => [2,2,2,1] => 4
[4,2,6,5,3,1,7] => [2,1,2,2] => [2,2,2,1] => 4
[4,2,6,5,3,7,1] => [2,1,2,2] => [2,2,2,1] => 4
[4,2,6,5,7,1,3] => [2,1,4] => [4,2,1] => 3
[4,2,6,5,7,3,1] => [2,1,3,1] => [3,2,1,1] => 4
[4,2,6,7,1,3,5] => [2,5] => [5,2] => 2
[4,2,6,7,1,5,3] => [2,4,1] => [4,2,1] => 3
[4,2,6,7,3,1,5] => [2,3,2] => [3,2,2] => 3
[4,2,6,7,3,5,1] => [2,4,1] => [4,2,1] => 3
[4,2,6,7,5,1,3] => [2,3,2] => [3,2,2] => 3
[4,2,6,7,5,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[4,2,7,1,3,5,6] => [2,5] => [5,2] => 2
[4,2,7,1,3,6,5] => [2,4,1] => [4,2,1] => 3
[4,2,7,1,5,3,6] => [2,3,2] => [3,2,2] => 3
[4,2,7,1,5,6,3] => [2,4,1] => [4,2,1] => 3
[4,2,7,1,6,3,5] => [2,2,3] => [3,2,2] => 3
[4,2,7,1,6,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[4,2,7,3,1,5,6] => [2,2,3] => [3,2,2] => 3
[4,2,7,3,1,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[4,2,7,3,5,1,6] => [2,3,2] => [3,2,2] => 3
[4,2,7,3,5,6,1] => [2,4,1] => [4,2,1] => 3
[4,2,7,3,6,1,5] => [2,2,3] => [3,2,2] => 3
[4,2,7,3,6,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[4,2,7,5,1,3,6] => [2,1,4] => [4,2,1] => 3
[4,2,7,5,1,6,3] => [2,1,3,1] => [3,2,1,1] => 4
[4,2,7,5,3,1,6] => [2,1,2,2] => [2,2,2,1] => 4
[4,2,7,5,3,6,1] => [2,1,3,1] => [3,2,1,1] => 4
[4,2,7,5,6,1,3] => [2,1,4] => [4,2,1] => 3
[4,2,7,5,6,3,1] => [2,1,3,1] => [3,2,1,1] => 4
[4,2,7,6,1,3,5] => [2,1,4] => [4,2,1] => 3
[4,2,7,6,1,5,3] => [2,1,3,1] => [3,2,1,1] => 4
[4,2,7,6,3,1,5] => [2,1,2,2] => [2,2,2,1] => 4
[4,2,7,6,3,5,1] => [2,1,3,1] => [3,2,1,1] => 4
[4,2,7,6,5,1,3] => [2,1,2,2] => [2,2,2,1] => 4
[4,2,7,6,5,3,1] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[4,3,1,2,5,6,7] => [1,6] => [6,1] => 2
[4,3,1,2,5,7,6] => [1,4,2] => [4,2,1] => 3
[4,3,1,2,6,5,7] => [1,3,3] => [3,3,1] => 3
[4,3,1,2,6,7,5] => [1,3,3] => [3,3,1] => 3
[4,3,1,2,7,5,6] => [1,3,3] => [3,3,1] => 3
[4,3,1,2,7,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[4,3,1,5,2,6,7] => [1,2,4] => [4,2,1] => 3
[4,3,1,5,2,7,6] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,1,5,6,2,7] => [1,2,4] => [4,2,1] => 3
[4,3,1,5,6,7,2] => [1,2,4] => [4,2,1] => 3
[4,3,1,5,7,2,6] => [1,2,4] => [4,2,1] => 3
[4,3,1,5,7,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,1,6,2,5,7] => [1,2,4] => [4,2,1] => 3
[4,3,1,6,2,7,5] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,1,6,5,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,1,6,5,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,1,6,7,2,5] => [1,2,4] => [4,2,1] => 3
[4,3,1,6,7,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,1,7,2,5,6] => [1,2,4] => [4,2,1] => 3
[4,3,1,7,2,6,5] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,1,7,5,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,1,7,5,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,1,7,6,2,5] => [1,2,1,3] => [3,2,1,1] => 4
[4,3,1,7,6,5,2] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[4,3,2,1,5,6,7] => [1,2,4] => [4,2,1] => 3
[4,3,2,1,5,7,6] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,2,1,6,5,7] => [1,2,1,3] => [3,2,1,1] => 4
[4,3,2,1,6,7,5] => [1,2,1,3] => [3,2,1,1] => 4
[4,3,2,1,7,5,6] => [1,2,1,3] => [3,2,1,1] => 4
[4,3,2,1,7,6,5] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[4,3,2,5,1,6,7] => [1,2,4] => [4,2,1] => 3
[4,3,2,5,1,7,6] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,2,5,6,1,7] => [1,2,4] => [4,2,1] => 3
[4,3,2,5,6,7,1] => [1,2,4] => [4,2,1] => 3
[4,3,2,5,7,1,6] => [1,2,4] => [4,2,1] => 3
[4,3,2,5,7,6,1] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,2,6,1,5,7] => [1,2,4] => [4,2,1] => 3
[4,3,2,6,1,7,5] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,2,6,5,1,7] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,2,6,5,7,1] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,2,6,7,1,5] => [1,2,4] => [4,2,1] => 3
[4,3,2,6,7,5,1] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,2,7,1,5,6] => [1,2,4] => [4,2,1] => 3
[4,3,2,7,1,6,5] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,2,7,5,1,6] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,2,7,5,6,1] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,2,7,6,1,5] => [1,2,1,3] => [3,2,1,1] => 4
[4,3,2,7,6,5,1] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[4,3,5,1,2,6,7] => [1,6] => [6,1] => 2
[4,3,5,1,2,7,6] => [1,4,2] => [4,2,1] => 3
[4,3,5,1,6,2,7] => [1,3,3] => [3,3,1] => 3
[4,3,5,1,6,7,2] => [1,3,3] => [3,3,1] => 3
[4,3,5,1,7,2,6] => [1,3,3] => [3,3,1] => 3
[4,3,5,1,7,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[4,3,5,2,1,6,7] => [1,3,3] => [3,3,1] => 3
[4,3,5,2,1,7,6] => [1,3,1,2] => [3,2,1,1] => 4
[4,3,5,2,6,1,7] => [1,3,3] => [3,3,1] => 3
[4,3,5,2,6,7,1] => [1,3,3] => [3,3,1] => 3
[4,3,5,2,7,1,6] => [1,3,3] => [3,3,1] => 3
[4,3,5,2,7,6,1] => [1,3,2,1] => [3,2,1,1] => 4
[4,3,5,6,1,2,7] => [1,6] => [6,1] => 2
[4,3,5,6,1,7,2] => [1,4,2] => [4,2,1] => 3
[4,3,5,6,2,1,7] => [1,4,2] => [4,2,1] => 3
[4,3,5,6,2,7,1] => [1,4,2] => [4,2,1] => 3
[4,3,5,6,7,1,2] => [1,6] => [6,1] => 2
[4,3,5,6,7,2,1] => [1,5,1] => [5,1,1] => 3
[4,3,5,7,1,2,6] => [1,6] => [6,1] => 2
[4,3,5,7,1,6,2] => [1,5,1] => [5,1,1] => 3
[4,3,5,7,2,1,6] => [1,4,2] => [4,2,1] => 3
[4,3,5,7,2,6,1] => [1,5,1] => [5,1,1] => 3
[4,3,5,7,6,1,2] => [1,3,3] => [3,3,1] => 3
[4,3,5,7,6,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[4,3,6,1,2,5,7] => [1,6] => [6,1] => 2
[4,3,6,1,2,7,5] => [1,4,2] => [4,2,1] => 3
[4,3,6,1,5,2,7] => [1,4,2] => [4,2,1] => 3
[4,3,6,1,5,7,2] => [1,4,2] => [4,2,1] => 3
[4,3,6,1,7,2,5] => [1,3,3] => [3,3,1] => 3
[4,3,6,1,7,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[4,3,6,2,1,5,7] => [1,3,3] => [3,3,1] => 3
[4,3,6,2,1,7,5] => [1,3,1,2] => [3,2,1,1] => 4
[4,3,6,2,5,1,7] => [1,4,2] => [4,2,1] => 3
[4,3,6,2,5,7,1] => [1,4,2] => [4,2,1] => 3
[4,3,6,2,7,1,5] => [1,3,3] => [3,3,1] => 3
[4,3,6,2,7,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[4,3,6,5,1,2,7] => [1,2,4] => [4,2,1] => 3
[4,3,6,5,1,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,6,5,2,1,7] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,6,5,2,7,1] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,6,5,7,1,2] => [1,2,4] => [4,2,1] => 3
[4,3,6,5,7,2,1] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,6,7,1,2,5] => [1,6] => [6,1] => 2
[4,3,6,7,1,5,2] => [1,5,1] => [5,1,1] => 3
[4,3,6,7,2,1,5] => [1,4,2] => [4,2,1] => 3
[4,3,6,7,2,5,1] => [1,5,1] => [5,1,1] => 3
[4,3,6,7,5,1,2] => [1,4,2] => [4,2,1] => 3
[4,3,6,7,5,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[4,3,7,1,2,5,6] => [1,6] => [6,1] => 2
[4,3,7,1,2,6,5] => [1,5,1] => [5,1,1] => 3
[4,3,7,1,5,2,6] => [1,4,2] => [4,2,1] => 3
[4,3,7,1,5,6,2] => [1,5,1] => [5,1,1] => 3
[4,3,7,1,6,2,5] => [1,3,3] => [3,3,1] => 3
[4,3,7,1,6,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[4,3,7,2,1,5,6] => [1,3,3] => [3,3,1] => 3
[4,3,7,2,1,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[4,3,7,2,5,1,6] => [1,4,2] => [4,2,1] => 3
[4,3,7,2,5,6,1] => [1,5,1] => [5,1,1] => 3
[4,3,7,2,6,1,5] => [1,3,3] => [3,3,1] => 3
[4,3,7,2,6,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[4,3,7,5,1,2,6] => [1,2,4] => [4,2,1] => 3
[4,3,7,5,1,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,7,5,2,1,6] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,7,5,2,6,1] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,7,5,6,1,2] => [1,2,4] => [4,2,1] => 3
[4,3,7,5,6,2,1] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,7,6,1,2,5] => [1,2,4] => [4,2,1] => 3
[4,3,7,6,1,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,7,6,2,1,5] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,7,6,2,5,1] => [1,2,3,1] => [3,2,1,1] => 4
[4,3,7,6,5,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[4,3,7,6,5,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[4,5,1,2,3,6,7] => [7] => [7] => 1
[4,5,1,2,3,7,6] => [5,2] => [5,2] => 2
[4,5,1,2,6,3,7] => [4,3] => [4,3] => 2
[4,5,1,2,6,7,3] => [4,3] => [4,3] => 2
[4,5,1,2,7,3,6] => [4,3] => [4,3] => 2
[4,5,1,2,7,6,3] => [4,2,1] => [4,2,1] => 3
[4,5,1,3,2,6,7] => [4,3] => [4,3] => 2
[4,5,1,3,2,7,6] => [4,1,2] => [4,2,1] => 3
[4,5,1,3,6,2,7] => [4,3] => [4,3] => 2
[4,5,1,3,6,7,2] => [4,3] => [4,3] => 2
[4,5,1,3,7,2,6] => [4,3] => [4,3] => 2
[4,5,1,3,7,6,2] => [4,2,1] => [4,2,1] => 3
[4,5,1,6,2,3,7] => [3,4] => [4,3] => 2
[4,5,1,6,2,7,3] => [3,2,2] => [3,2,2] => 3
[4,5,1,6,3,2,7] => [3,2,2] => [3,2,2] => 3
[4,5,1,6,3,7,2] => [3,2,2] => [3,2,2] => 3
[4,5,1,6,7,2,3] => [3,4] => [4,3] => 2
[4,5,1,6,7,3,2] => [3,3,1] => [3,3,1] => 3
[4,5,1,7,2,3,6] => [3,4] => [4,3] => 2
[4,5,1,7,2,6,3] => [3,3,1] => [3,3,1] => 3
[4,5,1,7,3,2,6] => [3,2,2] => [3,2,2] => 3
[4,5,1,7,3,6,2] => [3,3,1] => [3,3,1] => 3
[4,5,1,7,6,2,3] => [3,1,3] => [3,3,1] => 3
[4,5,1,7,6,3,2] => [3,1,2,1] => [3,2,1,1] => 4
[4,5,2,1,3,6,7] => [3,4] => [4,3] => 2
[4,5,2,1,3,7,6] => [3,2,2] => [3,2,2] => 3
[4,5,2,1,6,3,7] => [3,1,3] => [3,3,1] => 3
[4,5,2,1,6,7,3] => [3,1,3] => [3,3,1] => 3
[4,5,2,1,7,3,6] => [3,1,3] => [3,3,1] => 3
[4,5,2,1,7,6,3] => [3,1,2,1] => [3,2,1,1] => 4
[4,5,2,3,1,6,7] => [4,3] => [4,3] => 2
[4,5,2,3,1,7,6] => [4,1,2] => [4,2,1] => 3
[4,5,2,3,6,1,7] => [4,3] => [4,3] => 2
[4,5,2,3,6,7,1] => [4,3] => [4,3] => 2
[4,5,2,3,7,1,6] => [4,3] => [4,3] => 2
[4,5,2,3,7,6,1] => [4,2,1] => [4,2,1] => 3
[4,5,2,6,1,3,7] => [3,4] => [4,3] => 2
[4,5,2,6,1,7,3] => [3,2,2] => [3,2,2] => 3
[4,5,2,6,3,1,7] => [3,2,2] => [3,2,2] => 3
[4,5,2,6,3,7,1] => [3,2,2] => [3,2,2] => 3
[4,5,2,6,7,1,3] => [3,4] => [4,3] => 2
[4,5,2,6,7,3,1] => [3,3,1] => [3,3,1] => 3
[4,5,2,7,1,3,6] => [3,4] => [4,3] => 2
[4,5,2,7,1,6,3] => [3,3,1] => [3,3,1] => 3
[4,5,2,7,3,1,6] => [3,2,2] => [3,2,2] => 3
[4,5,2,7,3,6,1] => [3,3,1] => [3,3,1] => 3
[4,5,2,7,6,1,3] => [3,1,3] => [3,3,1] => 3
[4,5,2,7,6,3,1] => [3,1,2,1] => [3,2,1,1] => 4
[4,5,3,1,2,6,7] => [3,4] => [4,3] => 2
[4,5,3,1,2,7,6] => [3,2,2] => [3,2,2] => 3
[4,5,3,1,6,2,7] => [3,1,3] => [3,3,1] => 3
[4,5,3,1,6,7,2] => [3,1,3] => [3,3,1] => 3
[4,5,3,1,7,2,6] => [3,1,3] => [3,3,1] => 3
[4,5,3,1,7,6,2] => [3,1,2,1] => [3,2,1,1] => 4
[4,5,3,2,1,6,7] => [3,1,3] => [3,3,1] => 3
[4,5,3,2,1,7,6] => [3,1,1,2] => [3,2,1,1] => 4
[4,5,3,2,6,1,7] => [3,1,3] => [3,3,1] => 3
[4,5,3,2,6,7,1] => [3,1,3] => [3,3,1] => 3
[4,5,3,2,7,1,6] => [3,1,3] => [3,3,1] => 3
[4,5,3,2,7,6,1] => [3,1,2,1] => [3,2,1,1] => 4
[4,5,3,6,1,2,7] => [3,4] => [4,3] => 2
[4,5,3,6,1,7,2] => [3,2,2] => [3,2,2] => 3
[4,5,3,6,2,1,7] => [3,2,2] => [3,2,2] => 3
[4,5,3,6,2,7,1] => [3,2,2] => [3,2,2] => 3
[4,5,3,6,7,1,2] => [3,4] => [4,3] => 2
[4,5,3,6,7,2,1] => [3,3,1] => [3,3,1] => 3
[4,5,3,7,1,2,6] => [3,4] => [4,3] => 2
[4,5,3,7,1,6,2] => [3,3,1] => [3,3,1] => 3
[4,5,3,7,2,1,6] => [3,2,2] => [3,2,2] => 3
[4,5,3,7,2,6,1] => [3,3,1] => [3,3,1] => 3
[4,5,3,7,6,1,2] => [3,1,3] => [3,3,1] => 3
[4,5,3,7,6,2,1] => [3,1,2,1] => [3,2,1,1] => 4
[4,5,6,1,2,3,7] => [7] => [7] => 1
[4,5,6,1,2,7,3] => [5,2] => [5,2] => 2
[4,5,6,1,3,2,7] => [5,2] => [5,2] => 2
[4,5,6,1,3,7,2] => [5,2] => [5,2] => 2
[4,5,6,1,7,2,3] => [4,3] => [4,3] => 2
[4,5,6,1,7,3,2] => [4,2,1] => [4,2,1] => 3
[4,5,6,2,1,3,7] => [4,3] => [4,3] => 2
[4,5,6,2,1,7,3] => [4,1,2] => [4,2,1] => 3
[4,5,6,2,3,1,7] => [5,2] => [5,2] => 2
[4,5,6,2,3,7,1] => [5,2] => [5,2] => 2
[4,5,6,2,7,1,3] => [4,3] => [4,3] => 2
[4,5,6,2,7,3,1] => [4,2,1] => [4,2,1] => 3
[4,5,6,3,1,2,7] => [4,3] => [4,3] => 2
[4,5,6,3,1,7,2] => [4,1,2] => [4,2,1] => 3
[4,5,6,3,2,1,7] => [4,1,2] => [4,2,1] => 3
[4,5,6,3,2,7,1] => [4,1,2] => [4,2,1] => 3
[4,5,6,3,7,1,2] => [4,3] => [4,3] => 2
[4,5,6,3,7,2,1] => [4,2,1] => [4,2,1] => 3
[4,5,6,7,1,2,3] => [7] => [7] => 1
[4,5,6,7,1,3,2] => [6,1] => [6,1] => 2
[4,5,6,7,2,1,3] => [5,2] => [5,2] => 2
[4,5,6,7,2,3,1] => [6,1] => [6,1] => 2
[4,5,6,7,3,1,2] => [5,2] => [5,2] => 2
[4,5,6,7,3,2,1] => [5,1,1] => [5,1,1] => 3
[4,5,7,1,2,3,6] => [7] => [7] => 1
[4,5,7,1,2,6,3] => [6,1] => [6,1] => 2
[4,5,7,1,3,2,6] => [5,2] => [5,2] => 2
[4,5,7,1,3,6,2] => [6,1] => [6,1] => 2
[4,5,7,1,6,2,3] => [4,3] => [4,3] => 2
[4,5,7,1,6,3,2] => [4,2,1] => [4,2,1] => 3
[4,5,7,2,1,3,6] => [4,3] => [4,3] => 2
[4,5,7,2,1,6,3] => [4,2,1] => [4,2,1] => 3
[4,5,7,2,3,1,6] => [5,2] => [5,2] => 2
[4,5,7,2,3,6,1] => [6,1] => [6,1] => 2
[4,5,7,2,6,1,3] => [4,3] => [4,3] => 2
[4,5,7,2,6,3,1] => [4,2,1] => [4,2,1] => 3
[4,5,7,3,1,2,6] => [4,3] => [4,3] => 2
[4,5,7,3,1,6,2] => [4,2,1] => [4,2,1] => 3
[4,5,7,3,2,1,6] => [4,1,2] => [4,2,1] => 3
[4,5,7,3,2,6,1] => [4,2,1] => [4,2,1] => 3
[4,5,7,3,6,1,2] => [4,3] => [4,3] => 2
[4,5,7,3,6,2,1] => [4,2,1] => [4,2,1] => 3
[4,5,7,6,1,2,3] => [3,4] => [4,3] => 2
[4,5,7,6,1,3,2] => [3,3,1] => [3,3,1] => 3
[4,5,7,6,2,1,3] => [3,2,2] => [3,2,2] => 3
[4,5,7,6,2,3,1] => [3,3,1] => [3,3,1] => 3
[4,5,7,6,3,1,2] => [3,2,2] => [3,2,2] => 3
[4,5,7,6,3,2,1] => [3,2,1,1] => [3,2,1,1] => 4
[4,6,1,2,3,5,7] => [7] => [7] => 1
[4,6,1,2,3,7,5] => [5,2] => [5,2] => 2
[4,6,1,2,5,3,7] => [5,2] => [5,2] => 2
[4,6,1,2,5,7,3] => [5,2] => [5,2] => 2
[4,6,1,2,7,3,5] => [4,3] => [4,3] => 2
[4,6,1,2,7,5,3] => [4,2,1] => [4,2,1] => 3
[4,6,1,3,2,5,7] => [4,3] => [4,3] => 2
[4,6,1,3,2,7,5] => [4,1,2] => [4,2,1] => 3
[4,6,1,3,5,2,7] => [5,2] => [5,2] => 2
[4,6,1,3,5,7,2] => [5,2] => [5,2] => 2
[4,6,1,3,7,2,5] => [4,3] => [4,3] => 2
[4,6,1,3,7,5,2] => [4,2,1] => [4,2,1] => 3
[4,6,1,5,2,3,7] => [3,4] => [4,3] => 2
[4,6,1,5,2,7,3] => [3,2,2] => [3,2,2] => 3
[4,6,1,5,3,2,7] => [3,2,2] => [3,2,2] => 3
[4,6,1,5,3,7,2] => [3,2,2] => [3,2,2] => 3
[4,6,1,5,7,2,3] => [3,4] => [4,3] => 2
[4,6,1,5,7,3,2] => [3,3,1] => [3,3,1] => 3
[4,6,1,7,2,3,5] => [3,4] => [4,3] => 2
[4,6,1,7,2,5,3] => [3,3,1] => [3,3,1] => 3
[4,6,1,7,3,2,5] => [3,2,2] => [3,2,2] => 3
[4,6,1,7,3,5,2] => [3,3,1] => [3,3,1] => 3
[4,6,1,7,5,2,3] => [3,2,2] => [3,2,2] => 3
[4,6,1,7,5,3,2] => [3,2,1,1] => [3,2,1,1] => 4
[4,6,2,1,3,5,7] => [3,4] => [4,3] => 2
[4,6,2,1,3,7,5] => [3,2,2] => [3,2,2] => 3
[4,6,2,1,5,3,7] => [3,2,2] => [3,2,2] => 3
[4,6,2,1,5,7,3] => [3,2,2] => [3,2,2] => 3
[4,6,2,1,7,3,5] => [3,1,3] => [3,3,1] => 3
[4,6,2,1,7,5,3] => [3,1,2,1] => [3,2,1,1] => 4
[4,6,2,3,1,5,7] => [4,3] => [4,3] => 2
[4,6,2,3,1,7,5] => [4,1,2] => [4,2,1] => 3
[4,6,2,3,5,1,7] => [5,2] => [5,2] => 2
[4,6,2,3,5,7,1] => [5,2] => [5,2] => 2
[4,6,2,3,7,1,5] => [4,3] => [4,3] => 2
[4,6,2,3,7,5,1] => [4,2,1] => [4,2,1] => 3
[4,6,2,5,1,3,7] => [3,4] => [4,3] => 2
[4,6,2,5,1,7,3] => [3,2,2] => [3,2,2] => 3
[4,6,2,5,3,1,7] => [3,2,2] => [3,2,2] => 3
[4,6,2,5,3,7,1] => [3,2,2] => [3,2,2] => 3
[4,6,2,5,7,1,3] => [3,4] => [4,3] => 2
[4,6,2,5,7,3,1] => [3,3,1] => [3,3,1] => 3
[4,6,2,7,1,3,5] => [3,4] => [4,3] => 2
[4,6,2,7,1,5,3] => [3,3,1] => [3,3,1] => 3
[4,6,2,7,3,1,5] => [3,2,2] => [3,2,2] => 3
[4,6,2,7,3,5,1] => [3,3,1] => [3,3,1] => 3
[4,6,2,7,5,1,3] => [3,2,2] => [3,2,2] => 3
[4,6,2,7,5,3,1] => [3,2,1,1] => [3,2,1,1] => 4
[4,6,3,1,2,5,7] => [3,4] => [4,3] => 2
[4,6,3,1,2,7,5] => [3,2,2] => [3,2,2] => 3
[4,6,3,1,5,2,7] => [3,2,2] => [3,2,2] => 3
[4,6,3,1,5,7,2] => [3,2,2] => [3,2,2] => 3
[4,6,3,1,7,2,5] => [3,1,3] => [3,3,1] => 3
[4,6,3,1,7,5,2] => [3,1,2,1] => [3,2,1,1] => 4
[4,6,3,2,1,5,7] => [3,1,3] => [3,3,1] => 3
[4,6,3,2,1,7,5] => [3,1,1,2] => [3,2,1,1] => 4
[4,6,3,2,5,1,7] => [3,2,2] => [3,2,2] => 3
[4,6,3,2,5,7,1] => [3,2,2] => [3,2,2] => 3
[4,6,3,2,7,1,5] => [3,1,3] => [3,3,1] => 3
[4,6,3,2,7,5,1] => [3,1,2,1] => [3,2,1,1] => 4
[4,6,3,5,1,2,7] => [3,4] => [4,3] => 2
[4,6,3,5,1,7,2] => [3,2,2] => [3,2,2] => 3
[4,6,3,5,2,1,7] => [3,2,2] => [3,2,2] => 3
[4,6,3,5,2,7,1] => [3,2,2] => [3,2,2] => 3
[4,6,3,5,7,1,2] => [3,4] => [4,3] => 2
[4,6,3,5,7,2,1] => [3,3,1] => [3,3,1] => 3
[4,6,3,7,1,2,5] => [3,4] => [4,3] => 2
[4,6,3,7,1,5,2] => [3,3,1] => [3,3,1] => 3
[4,6,3,7,2,1,5] => [3,2,2] => [3,2,2] => 3
[4,6,3,7,2,5,1] => [3,3,1] => [3,3,1] => 3
[4,6,3,7,5,1,2] => [3,2,2] => [3,2,2] => 3
[4,6,3,7,5,2,1] => [3,2,1,1] => [3,2,1,1] => 4
[4,6,5,1,2,3,7] => [2,5] => [5,2] => 2
[4,6,5,1,2,7,3] => [2,3,2] => [3,2,2] => 3
[4,6,5,1,3,2,7] => [2,3,2] => [3,2,2] => 3
[4,6,5,1,3,7,2] => [2,3,2] => [3,2,2] => 3
[4,6,5,1,7,2,3] => [2,2,3] => [3,2,2] => 3
[4,6,5,1,7,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[4,6,5,2,1,3,7] => [2,2,3] => [3,2,2] => 3
[4,6,5,2,1,7,3] => [2,2,1,2] => [2,2,2,1] => 4
[4,6,5,2,3,1,7] => [2,3,2] => [3,2,2] => 3
[4,6,5,2,3,7,1] => [2,3,2] => [3,2,2] => 3
[4,6,5,2,7,1,3] => [2,2,3] => [3,2,2] => 3
[4,6,5,2,7,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[4,6,5,3,1,2,7] => [2,2,3] => [3,2,2] => 3
[4,6,5,3,1,7,2] => [2,2,1,2] => [2,2,2,1] => 4
[4,6,5,3,2,1,7] => [2,2,1,2] => [2,2,2,1] => 4
[4,6,5,3,2,7,1] => [2,2,1,2] => [2,2,2,1] => 4
[4,6,5,3,7,1,2] => [2,2,3] => [3,2,2] => 3
[4,6,5,3,7,2,1] => [2,2,2,1] => [2,2,2,1] => 4
[4,6,5,7,1,2,3] => [2,5] => [5,2] => 2
[4,6,5,7,1,3,2] => [2,4,1] => [4,2,1] => 3
[4,6,5,7,2,1,3] => [2,3,2] => [3,2,2] => 3
[4,6,5,7,2,3,1] => [2,4,1] => [4,2,1] => 3
[4,6,5,7,3,1,2] => [2,3,2] => [3,2,2] => 3
[4,6,5,7,3,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[4,6,7,1,2,3,5] => [7] => [7] => 1
[4,6,7,1,2,5,3] => [6,1] => [6,1] => 2
[4,6,7,1,3,2,5] => [5,2] => [5,2] => 2
[4,6,7,1,3,5,2] => [6,1] => [6,1] => 2
[4,6,7,1,5,2,3] => [5,2] => [5,2] => 2
[4,6,7,1,5,3,2] => [5,1,1] => [5,1,1] => 3
[4,6,7,2,1,3,5] => [4,3] => [4,3] => 2
[4,6,7,2,1,5,3] => [4,2,1] => [4,2,1] => 3
[4,6,7,2,3,1,5] => [5,2] => [5,2] => 2
[4,6,7,2,3,5,1] => [6,1] => [6,1] => 2
[4,6,7,2,5,1,3] => [5,2] => [5,2] => 2
[4,6,7,2,5,3,1] => [5,1,1] => [5,1,1] => 3
[4,6,7,3,1,2,5] => [4,3] => [4,3] => 2
[4,6,7,3,1,5,2] => [4,2,1] => [4,2,1] => 3
[4,6,7,3,2,1,5] => [4,1,2] => [4,2,1] => 3
[4,6,7,3,2,5,1] => [4,2,1] => [4,2,1] => 3
[4,6,7,3,5,1,2] => [5,2] => [5,2] => 2
[4,6,7,3,5,2,1] => [5,1,1] => [5,1,1] => 3
[4,6,7,5,1,2,3] => [3,4] => [4,3] => 2
[4,6,7,5,1,3,2] => [3,3,1] => [3,3,1] => 3
[4,6,7,5,2,1,3] => [3,2,2] => [3,2,2] => 3
[4,6,7,5,2,3,1] => [3,3,1] => [3,3,1] => 3
[4,6,7,5,3,1,2] => [3,2,2] => [3,2,2] => 3
[4,6,7,5,3,2,1] => [3,2,1,1] => [3,2,1,1] => 4
[4,7,1,2,3,5,6] => [7] => [7] => 1
[4,7,1,2,3,6,5] => [6,1] => [6,1] => 2
[4,7,1,2,5,3,6] => [5,2] => [5,2] => 2
[4,7,1,2,5,6,3] => [6,1] => [6,1] => 2
[4,7,1,2,6,3,5] => [4,3] => [4,3] => 2
[4,7,1,2,6,5,3] => [4,2,1] => [4,2,1] => 3
[4,7,1,3,2,5,6] => [4,3] => [4,3] => 2
[4,7,1,3,2,6,5] => [4,2,1] => [4,2,1] => 3
[4,7,1,3,5,2,6] => [5,2] => [5,2] => 2
[4,7,1,3,5,6,2] => [6,1] => [6,1] => 2
[4,7,1,3,6,2,5] => [4,3] => [4,3] => 2
[4,7,1,3,6,5,2] => [4,2,1] => [4,2,1] => 3
[4,7,1,5,2,3,6] => [3,4] => [4,3] => 2
[4,7,1,5,2,6,3] => [3,3,1] => [3,3,1] => 3
[4,7,1,5,3,2,6] => [3,2,2] => [3,2,2] => 3
[4,7,1,5,3,6,2] => [3,3,1] => [3,3,1] => 3
[4,7,1,5,6,2,3] => [3,4] => [4,3] => 2
[4,7,1,5,6,3,2] => [3,3,1] => [3,3,1] => 3
[4,7,1,6,2,3,5] => [3,4] => [4,3] => 2
[4,7,1,6,2,5,3] => [3,3,1] => [3,3,1] => 3
[4,7,1,6,3,2,5] => [3,2,2] => [3,2,2] => 3
[4,7,1,6,3,5,2] => [3,3,1] => [3,3,1] => 3
[4,7,1,6,5,2,3] => [3,2,2] => [3,2,2] => 3
[4,7,1,6,5,3,2] => [3,2,1,1] => [3,2,1,1] => 4
[4,7,2,1,3,5,6] => [3,4] => [4,3] => 2
[4,7,2,1,3,6,5] => [3,3,1] => [3,3,1] => 3
[4,7,2,1,5,3,6] => [3,2,2] => [3,2,2] => 3
[4,7,2,1,5,6,3] => [3,3,1] => [3,3,1] => 3
[4,7,2,1,6,3,5] => [3,1,3] => [3,3,1] => 3
[4,7,2,1,6,5,3] => [3,1,2,1] => [3,2,1,1] => 4
[4,7,2,3,1,5,6] => [4,3] => [4,3] => 2
[4,7,2,3,1,6,5] => [4,2,1] => [4,2,1] => 3
[4,7,2,3,5,1,6] => [5,2] => [5,2] => 2
[4,7,2,3,5,6,1] => [6,1] => [6,1] => 2
[4,7,2,3,6,1,5] => [4,3] => [4,3] => 2
[4,7,2,3,6,5,1] => [4,2,1] => [4,2,1] => 3
[4,7,2,5,1,3,6] => [3,4] => [4,3] => 2
[4,7,2,5,1,6,3] => [3,3,1] => [3,3,1] => 3
[4,7,2,5,3,1,6] => [3,2,2] => [3,2,2] => 3
[4,7,2,5,3,6,1] => [3,3,1] => [3,3,1] => 3
[4,7,2,5,6,1,3] => [3,4] => [4,3] => 2
[4,7,2,5,6,3,1] => [3,3,1] => [3,3,1] => 3
[4,7,2,6,1,3,5] => [3,4] => [4,3] => 2
[4,7,2,6,1,5,3] => [3,3,1] => [3,3,1] => 3
[4,7,2,6,3,1,5] => [3,2,2] => [3,2,2] => 3
[4,7,2,6,3,5,1] => [3,3,1] => [3,3,1] => 3
[4,7,2,6,5,1,3] => [3,2,2] => [3,2,2] => 3
[4,7,2,6,5,3,1] => [3,2,1,1] => [3,2,1,1] => 4
[4,7,3,1,2,5,6] => [3,4] => [4,3] => 2
[4,7,3,1,2,6,5] => [3,3,1] => [3,3,1] => 3
[4,7,3,1,5,2,6] => [3,2,2] => [3,2,2] => 3
[4,7,3,1,5,6,2] => [3,3,1] => [3,3,1] => 3
[4,7,3,1,6,2,5] => [3,1,3] => [3,3,1] => 3
[4,7,3,1,6,5,2] => [3,1,2,1] => [3,2,1,1] => 4
[4,7,3,2,1,5,6] => [3,1,3] => [3,3,1] => 3
[4,7,3,2,1,6,5] => [3,1,2,1] => [3,2,1,1] => 4
[4,7,3,2,5,1,6] => [3,2,2] => [3,2,2] => 3
[4,7,3,2,5,6,1] => [3,3,1] => [3,3,1] => 3
[4,7,3,2,6,1,5] => [3,1,3] => [3,3,1] => 3
[4,7,3,2,6,5,1] => [3,1,2,1] => [3,2,1,1] => 4
[4,7,3,5,1,2,6] => [3,4] => [4,3] => 2
[4,7,3,5,1,6,2] => [3,3,1] => [3,3,1] => 3
[4,7,3,5,2,1,6] => [3,2,2] => [3,2,2] => 3
[4,7,3,5,2,6,1] => [3,3,1] => [3,3,1] => 3
[4,7,3,5,6,1,2] => [3,4] => [4,3] => 2
[4,7,3,5,6,2,1] => [3,3,1] => [3,3,1] => 3
[4,7,3,6,1,2,5] => [3,4] => [4,3] => 2
[4,7,3,6,1,5,2] => [3,3,1] => [3,3,1] => 3
[4,7,3,6,2,1,5] => [3,2,2] => [3,2,2] => 3
[4,7,3,6,2,5,1] => [3,3,1] => [3,3,1] => 3
[4,7,3,6,5,1,2] => [3,2,2] => [3,2,2] => 3
[4,7,3,6,5,2,1] => [3,2,1,1] => [3,2,1,1] => 4
[4,7,5,1,2,3,6] => [2,5] => [5,2] => 2
[4,7,5,1,2,6,3] => [2,4,1] => [4,2,1] => 3
[4,7,5,1,3,2,6] => [2,3,2] => [3,2,2] => 3
[4,7,5,1,3,6,2] => [2,4,1] => [4,2,1] => 3
[4,7,5,1,6,2,3] => [2,2,3] => [3,2,2] => 3
[4,7,5,1,6,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[4,7,5,2,1,3,6] => [2,2,3] => [3,2,2] => 3
[4,7,5,2,1,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[4,7,5,2,3,1,6] => [2,3,2] => [3,2,2] => 3
[4,7,5,2,3,6,1] => [2,4,1] => [4,2,1] => 3
[4,7,5,2,6,1,3] => [2,2,3] => [3,2,2] => 3
[4,7,5,2,6,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[4,7,5,3,1,2,6] => [2,2,3] => [3,2,2] => 3
[4,7,5,3,1,6,2] => [2,2,2,1] => [2,2,2,1] => 4
[4,7,5,3,2,1,6] => [2,2,1,2] => [2,2,2,1] => 4
[4,7,5,3,2,6,1] => [2,2,2,1] => [2,2,2,1] => 4
[4,7,5,3,6,1,2] => [2,2,3] => [3,2,2] => 3
[4,7,5,3,6,2,1] => [2,2,2,1] => [2,2,2,1] => 4
[4,7,5,6,1,2,3] => [2,5] => [5,2] => 2
[4,7,5,6,1,3,2] => [2,4,1] => [4,2,1] => 3
[4,7,5,6,2,1,3] => [2,3,2] => [3,2,2] => 3
[4,7,5,6,2,3,1] => [2,4,1] => [4,2,1] => 3
[4,7,5,6,3,1,2] => [2,3,2] => [3,2,2] => 3
[4,7,5,6,3,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[4,7,6,1,2,3,5] => [2,5] => [5,2] => 2
[4,7,6,1,2,5,3] => [2,4,1] => [4,2,1] => 3
[4,7,6,1,3,2,5] => [2,3,2] => [3,2,2] => 3
[4,7,6,1,3,5,2] => [2,4,1] => [4,2,1] => 3
[4,7,6,1,5,2,3] => [2,3,2] => [3,2,2] => 3
[4,7,6,1,5,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[4,7,6,2,1,3,5] => [2,2,3] => [3,2,2] => 3
[4,7,6,2,1,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[4,7,6,2,3,1,5] => [2,3,2] => [3,2,2] => 3
[4,7,6,2,3,5,1] => [2,4,1] => [4,2,1] => 3
[4,7,6,2,5,1,3] => [2,3,2] => [3,2,2] => 3
[4,7,6,2,5,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[4,7,6,3,1,2,5] => [2,2,3] => [3,2,2] => 3
[4,7,6,3,1,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[4,7,6,3,2,1,5] => [2,2,1,2] => [2,2,2,1] => 4
[4,7,6,3,2,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[4,7,6,3,5,1,2] => [2,3,2] => [3,2,2] => 3
[4,7,6,3,5,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[4,7,6,5,1,2,3] => [2,1,4] => [4,2,1] => 3
[4,7,6,5,1,3,2] => [2,1,3,1] => [3,2,1,1] => 4
[4,7,6,5,2,1,3] => [2,1,2,2] => [2,2,2,1] => 4
[4,7,6,5,2,3,1] => [2,1,3,1] => [3,2,1,1] => 4
[4,7,6,5,3,1,2] => [2,1,2,2] => [2,2,2,1] => 4
[4,7,6,5,3,2,1] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[5,1,2,3,4,6,7] => [7] => [7] => 1
[5,1,2,3,4,7,6] => [5,2] => [5,2] => 2
[5,1,2,3,6,4,7] => [4,3] => [4,3] => 2
[5,1,2,3,6,7,4] => [4,3] => [4,3] => 2
[5,1,2,3,7,4,6] => [4,3] => [4,3] => 2
[5,1,2,3,7,6,4] => [4,2,1] => [4,2,1] => 3
[5,1,2,4,3,6,7] => [4,3] => [4,3] => 2
[5,1,2,4,3,7,6] => [4,1,2] => [4,2,1] => 3
[5,1,2,4,6,3,7] => [4,3] => [4,3] => 2
[5,1,2,4,6,7,3] => [4,3] => [4,3] => 2
[5,1,2,4,7,3,6] => [4,3] => [4,3] => 2
[5,1,2,4,7,6,3] => [4,2,1] => [4,2,1] => 3
[5,1,2,6,3,4,7] => [3,4] => [4,3] => 2
[5,1,2,6,3,7,4] => [3,2,2] => [3,2,2] => 3
[5,1,2,6,4,3,7] => [3,2,2] => [3,2,2] => 3
[5,1,2,6,4,7,3] => [3,2,2] => [3,2,2] => 3
[5,1,2,6,7,3,4] => [3,4] => [4,3] => 2
[5,1,2,6,7,4,3] => [3,3,1] => [3,3,1] => 3
[5,1,2,7,3,4,6] => [3,4] => [4,3] => 2
[5,1,2,7,3,6,4] => [3,3,1] => [3,3,1] => 3
[5,1,2,7,4,3,6] => [3,2,2] => [3,2,2] => 3
[5,1,2,7,4,6,3] => [3,3,1] => [3,3,1] => 3
[5,1,2,7,6,3,4] => [3,1,3] => [3,3,1] => 3
[5,1,2,7,6,4,3] => [3,1,2,1] => [3,2,1,1] => 4
[5,1,3,2,4,6,7] => [3,4] => [4,3] => 2
[5,1,3,2,4,7,6] => [3,2,2] => [3,2,2] => 3
[5,1,3,2,6,4,7] => [3,1,3] => [3,3,1] => 3
[5,1,3,2,6,7,4] => [3,1,3] => [3,3,1] => 3
[5,1,3,2,7,4,6] => [3,1,3] => [3,3,1] => 3
[5,1,3,2,7,6,4] => [3,1,2,1] => [3,2,1,1] => 4
[5,1,3,4,2,6,7] => [4,3] => [4,3] => 2
[5,1,3,4,2,7,6] => [4,1,2] => [4,2,1] => 3
[5,1,3,4,6,2,7] => [4,3] => [4,3] => 2
[5,1,3,4,6,7,2] => [4,3] => [4,3] => 2
[5,1,3,4,7,2,6] => [4,3] => [4,3] => 2
[5,1,3,4,7,6,2] => [4,2,1] => [4,2,1] => 3
[5,1,3,6,2,4,7] => [3,4] => [4,3] => 2
[5,1,3,6,2,7,4] => [3,2,2] => [3,2,2] => 3
[5,1,3,6,4,2,7] => [3,2,2] => [3,2,2] => 3
[5,1,3,6,4,7,2] => [3,2,2] => [3,2,2] => 3
[5,1,3,6,7,2,4] => [3,4] => [4,3] => 2
[5,1,3,6,7,4,2] => [3,3,1] => [3,3,1] => 3
[5,1,3,7,2,4,6] => [3,4] => [4,3] => 2
[5,1,3,7,2,6,4] => [3,3,1] => [3,3,1] => 3
[5,1,3,7,4,2,6] => [3,2,2] => [3,2,2] => 3
[5,1,3,7,4,6,2] => [3,3,1] => [3,3,1] => 3
[5,1,3,7,6,2,4] => [3,1,3] => [3,3,1] => 3
[5,1,3,7,6,4,2] => [3,1,2,1] => [3,2,1,1] => 4
[5,1,4,2,3,6,7] => [2,5] => [5,2] => 2
[5,1,4,2,3,7,6] => [2,3,2] => [3,2,2] => 3
[5,1,4,2,6,3,7] => [2,2,3] => [3,2,2] => 3
[5,1,4,2,6,7,3] => [2,2,3] => [3,2,2] => 3
[5,1,4,2,7,3,6] => [2,2,3] => [3,2,2] => 3
[5,1,4,2,7,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,4,3,2,6,7] => [2,2,3] => [3,2,2] => 3
[5,1,4,3,2,7,6] => [2,2,1,2] => [2,2,2,1] => 4
[5,1,4,3,6,2,7] => [2,2,3] => [3,2,2] => 3
[5,1,4,3,6,7,2] => [2,2,3] => [3,2,2] => 3
[5,1,4,3,7,2,6] => [2,2,3] => [3,2,2] => 3
[5,1,4,3,7,6,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,4,6,2,3,7] => [2,5] => [5,2] => 2
[5,1,4,6,2,7,3] => [2,3,2] => [3,2,2] => 3
[5,1,4,6,3,2,7] => [2,3,2] => [3,2,2] => 3
[5,1,4,6,3,7,2] => [2,3,2] => [3,2,2] => 3
[5,1,4,6,7,2,3] => [2,5] => [5,2] => 2
[5,1,4,6,7,3,2] => [2,4,1] => [4,2,1] => 3
[5,1,4,7,2,3,6] => [2,5] => [5,2] => 2
[5,1,4,7,2,6,3] => [2,4,1] => [4,2,1] => 3
[5,1,4,7,3,2,6] => [2,3,2] => [3,2,2] => 3
[5,1,4,7,3,6,2] => [2,4,1] => [4,2,1] => 3
[5,1,4,7,6,2,3] => [2,2,3] => [3,2,2] => 3
[5,1,4,7,6,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,6,2,3,4,7] => [2,5] => [5,2] => 2
[5,1,6,2,3,7,4] => [2,3,2] => [3,2,2] => 3
[5,1,6,2,4,3,7] => [2,3,2] => [3,2,2] => 3
[5,1,6,2,4,7,3] => [2,3,2] => [3,2,2] => 3
[5,1,6,2,7,3,4] => [2,2,3] => [3,2,2] => 3
[5,1,6,2,7,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,6,3,2,4,7] => [2,2,3] => [3,2,2] => 3
[5,1,6,3,2,7,4] => [2,2,1,2] => [2,2,2,1] => 4
[5,1,6,3,4,2,7] => [2,3,2] => [3,2,2] => 3
[5,1,6,3,4,7,2] => [2,3,2] => [3,2,2] => 3
[5,1,6,3,7,2,4] => [2,2,3] => [3,2,2] => 3
[5,1,6,3,7,4,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,6,4,2,3,7] => [2,2,3] => [3,2,2] => 3
[5,1,6,4,2,7,3] => [2,2,1,2] => [2,2,2,1] => 4
[5,1,6,4,3,2,7] => [2,2,1,2] => [2,2,2,1] => 4
[5,1,6,4,3,7,2] => [2,2,1,2] => [2,2,2,1] => 4
[5,1,6,4,7,2,3] => [2,2,3] => [3,2,2] => 3
[5,1,6,4,7,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,6,7,2,3,4] => [2,5] => [5,2] => 2
[5,1,6,7,2,4,3] => [2,4,1] => [4,2,1] => 3
[5,1,6,7,3,2,4] => [2,3,2] => [3,2,2] => 3
[5,1,6,7,3,4,2] => [2,4,1] => [4,2,1] => 3
[5,1,6,7,4,2,3] => [2,3,2] => [3,2,2] => 3
[5,1,6,7,4,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[5,1,7,2,3,4,6] => [2,5] => [5,2] => 2
[5,1,7,2,3,6,4] => [2,4,1] => [4,2,1] => 3
[5,1,7,2,4,3,6] => [2,3,2] => [3,2,2] => 3
[5,1,7,2,4,6,3] => [2,4,1] => [4,2,1] => 3
[5,1,7,2,6,3,4] => [2,2,3] => [3,2,2] => 3
[5,1,7,2,6,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,7,3,2,4,6] => [2,2,3] => [3,2,2] => 3
[5,1,7,3,2,6,4] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,7,3,4,2,6] => [2,3,2] => [3,2,2] => 3
[5,1,7,3,4,6,2] => [2,4,1] => [4,2,1] => 3
[5,1,7,3,6,2,4] => [2,2,3] => [3,2,2] => 3
[5,1,7,3,6,4,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,7,4,2,3,6] => [2,2,3] => [3,2,2] => 3
[5,1,7,4,2,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,7,4,3,2,6] => [2,2,1,2] => [2,2,2,1] => 4
[5,1,7,4,3,6,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,7,4,6,2,3] => [2,2,3] => [3,2,2] => 3
[5,1,7,4,6,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,1,7,6,2,3,4] => [2,1,4] => [4,2,1] => 3
[5,1,7,6,2,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[5,1,7,6,3,2,4] => [2,1,2,2] => [2,2,2,1] => 4
[5,1,7,6,3,4,2] => [2,1,3,1] => [3,2,1,1] => 4
[5,1,7,6,4,2,3] => [2,1,2,2] => [2,2,2,1] => 4
[5,1,7,6,4,3,2] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[5,2,1,3,4,6,7] => [2,5] => [5,2] => 2
[5,2,1,3,4,7,6] => [2,3,2] => [3,2,2] => 3
[5,2,1,3,6,4,7] => [2,2,3] => [3,2,2] => 3
[5,2,1,3,6,7,4] => [2,2,3] => [3,2,2] => 3
[5,2,1,3,7,4,6] => [2,2,3] => [3,2,2] => 3
[5,2,1,3,7,6,4] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,1,4,3,6,7] => [2,2,3] => [3,2,2] => 3
[5,2,1,4,3,7,6] => [2,2,1,2] => [2,2,2,1] => 4
[5,2,1,4,6,3,7] => [2,2,3] => [3,2,2] => 3
[5,2,1,4,6,7,3] => [2,2,3] => [3,2,2] => 3
[5,2,1,4,7,3,6] => [2,2,3] => [3,2,2] => 3
[5,2,1,4,7,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,1,6,3,4,7] => [2,1,4] => [4,2,1] => 3
[5,2,1,6,3,7,4] => [2,1,2,2] => [2,2,2,1] => 4
[5,2,1,6,4,3,7] => [2,1,2,2] => [2,2,2,1] => 4
[5,2,1,6,4,7,3] => [2,1,2,2] => [2,2,2,1] => 4
[5,2,1,6,7,3,4] => [2,1,4] => [4,2,1] => 3
[5,2,1,6,7,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[5,2,1,7,3,4,6] => [2,1,4] => [4,2,1] => 3
[5,2,1,7,3,6,4] => [2,1,3,1] => [3,2,1,1] => 4
[5,2,1,7,4,3,6] => [2,1,2,2] => [2,2,2,1] => 4
[5,2,1,7,4,6,3] => [2,1,3,1] => [3,2,1,1] => 4
[5,2,1,7,6,3,4] => [2,1,1,3] => [3,2,1,1] => 4
[5,2,1,7,6,4,3] => [2,1,1,2,1] => [2,2,1,1,1] => 5
[5,2,3,1,4,6,7] => [3,4] => [4,3] => 2
[5,2,3,1,4,7,6] => [3,2,2] => [3,2,2] => 3
[5,2,3,1,6,4,7] => [3,1,3] => [3,3,1] => 3
[5,2,3,1,6,7,4] => [3,1,3] => [3,3,1] => 3
[5,2,3,1,7,4,6] => [3,1,3] => [3,3,1] => 3
[5,2,3,1,7,6,4] => [3,1,2,1] => [3,2,1,1] => 4
[5,2,3,4,1,6,7] => [4,3] => [4,3] => 2
[5,2,3,4,1,7,6] => [4,1,2] => [4,2,1] => 3
[5,2,3,4,6,1,7] => [4,3] => [4,3] => 2
[5,2,3,4,6,7,1] => [4,3] => [4,3] => 2
[5,2,3,4,7,1,6] => [4,3] => [4,3] => 2
[5,2,3,4,7,6,1] => [4,2,1] => [4,2,1] => 3
[5,2,3,6,1,4,7] => [3,4] => [4,3] => 2
[5,2,3,6,1,7,4] => [3,2,2] => [3,2,2] => 3
[5,2,3,6,4,1,7] => [3,2,2] => [3,2,2] => 3
[5,2,3,6,4,7,1] => [3,2,2] => [3,2,2] => 3
[5,2,3,6,7,1,4] => [3,4] => [4,3] => 2
[5,2,3,6,7,4,1] => [3,3,1] => [3,3,1] => 3
[5,2,3,7,1,4,6] => [3,4] => [4,3] => 2
[5,2,3,7,1,6,4] => [3,3,1] => [3,3,1] => 3
[5,2,3,7,4,1,6] => [3,2,2] => [3,2,2] => 3
[5,2,3,7,4,6,1] => [3,3,1] => [3,3,1] => 3
[5,2,3,7,6,1,4] => [3,1,3] => [3,3,1] => 3
[5,2,3,7,6,4,1] => [3,1,2,1] => [3,2,1,1] => 4
[5,2,4,1,3,6,7] => [2,5] => [5,2] => 2
[5,2,4,1,3,7,6] => [2,3,2] => [3,2,2] => 3
[5,2,4,1,6,3,7] => [2,2,3] => [3,2,2] => 3
[5,2,4,1,6,7,3] => [2,2,3] => [3,2,2] => 3
[5,2,4,1,7,3,6] => [2,2,3] => [3,2,2] => 3
[5,2,4,1,7,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,4,3,1,6,7] => [2,2,3] => [3,2,2] => 3
[5,2,4,3,1,7,6] => [2,2,1,2] => [2,2,2,1] => 4
[5,2,4,3,6,1,7] => [2,2,3] => [3,2,2] => 3
[5,2,4,3,6,7,1] => [2,2,3] => [3,2,2] => 3
[5,2,4,3,7,1,6] => [2,2,3] => [3,2,2] => 3
[5,2,4,3,7,6,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,4,6,1,3,7] => [2,5] => [5,2] => 2
[5,2,4,6,1,7,3] => [2,3,2] => [3,2,2] => 3
[5,2,4,6,3,1,7] => [2,3,2] => [3,2,2] => 3
[5,2,4,6,3,7,1] => [2,3,2] => [3,2,2] => 3
[5,2,4,6,7,1,3] => [2,5] => [5,2] => 2
[5,2,4,6,7,3,1] => [2,4,1] => [4,2,1] => 3
[5,2,4,7,1,3,6] => [2,5] => [5,2] => 2
[5,2,4,7,1,6,3] => [2,4,1] => [4,2,1] => 3
[5,2,4,7,3,1,6] => [2,3,2] => [3,2,2] => 3
[5,2,4,7,3,6,1] => [2,4,1] => [4,2,1] => 3
[5,2,4,7,6,1,3] => [2,2,3] => [3,2,2] => 3
[5,2,4,7,6,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,6,1,3,4,7] => [2,5] => [5,2] => 2
[5,2,6,1,3,7,4] => [2,3,2] => [3,2,2] => 3
[5,2,6,1,4,3,7] => [2,3,2] => [3,2,2] => 3
[5,2,6,1,4,7,3] => [2,3,2] => [3,2,2] => 3
[5,2,6,1,7,3,4] => [2,2,3] => [3,2,2] => 3
[5,2,6,1,7,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,6,3,1,4,7] => [2,2,3] => [3,2,2] => 3
[5,2,6,3,1,7,4] => [2,2,1,2] => [2,2,2,1] => 4
[5,2,6,3,4,1,7] => [2,3,2] => [3,2,2] => 3
[5,2,6,3,4,7,1] => [2,3,2] => [3,2,2] => 3
[5,2,6,3,7,1,4] => [2,2,3] => [3,2,2] => 3
[5,2,6,3,7,4,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,6,4,1,3,7] => [2,2,3] => [3,2,2] => 3
[5,2,6,4,1,7,3] => [2,2,1,2] => [2,2,2,1] => 4
[5,2,6,4,3,1,7] => [2,2,1,2] => [2,2,2,1] => 4
[5,2,6,4,3,7,1] => [2,2,1,2] => [2,2,2,1] => 4
[5,2,6,4,7,1,3] => [2,2,3] => [3,2,2] => 3
[5,2,6,4,7,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,6,7,1,3,4] => [2,5] => [5,2] => 2
[5,2,6,7,1,4,3] => [2,4,1] => [4,2,1] => 3
[5,2,6,7,3,1,4] => [2,3,2] => [3,2,2] => 3
[5,2,6,7,3,4,1] => [2,4,1] => [4,2,1] => 3
[5,2,6,7,4,1,3] => [2,3,2] => [3,2,2] => 3
[5,2,6,7,4,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[5,2,7,1,3,4,6] => [2,5] => [5,2] => 2
[5,2,7,1,3,6,4] => [2,4,1] => [4,2,1] => 3
[5,2,7,1,4,3,6] => [2,3,2] => [3,2,2] => 3
[5,2,7,1,4,6,3] => [2,4,1] => [4,2,1] => 3
[5,2,7,1,6,3,4] => [2,2,3] => [3,2,2] => 3
[5,2,7,1,6,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,7,3,1,4,6] => [2,2,3] => [3,2,2] => 3
[5,2,7,3,1,6,4] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,7,3,4,1,6] => [2,3,2] => [3,2,2] => 3
[5,2,7,3,4,6,1] => [2,4,1] => [4,2,1] => 3
[5,2,7,3,6,1,4] => [2,2,3] => [3,2,2] => 3
[5,2,7,3,6,4,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,7,4,1,3,6] => [2,2,3] => [3,2,2] => 3
[5,2,7,4,1,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,7,4,3,1,6] => [2,2,1,2] => [2,2,2,1] => 4
[5,2,7,4,3,6,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,7,4,6,1,3] => [2,2,3] => [3,2,2] => 3
[5,2,7,4,6,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,2,7,6,1,3,4] => [2,1,4] => [4,2,1] => 3
[5,2,7,6,1,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[5,2,7,6,3,1,4] => [2,1,2,2] => [2,2,2,1] => 4
[5,2,7,6,3,4,1] => [2,1,3,1] => [3,2,1,1] => 4
[5,2,7,6,4,1,3] => [2,1,2,2] => [2,2,2,1] => 4
[5,2,7,6,4,3,1] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[5,3,1,2,4,6,7] => [1,6] => [6,1] => 2
[5,3,1,2,4,7,6] => [1,4,2] => [4,2,1] => 3
[5,3,1,2,6,4,7] => [1,3,3] => [3,3,1] => 3
[5,3,1,2,6,7,4] => [1,3,3] => [3,3,1] => 3
[5,3,1,2,7,4,6] => [1,3,3] => [3,3,1] => 3
[5,3,1,2,7,6,4] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,1,4,2,6,7] => [1,3,3] => [3,3,1] => 3
[5,3,1,4,2,7,6] => [1,3,1,2] => [3,2,1,1] => 4
[5,3,1,4,6,2,7] => [1,3,3] => [3,3,1] => 3
[5,3,1,4,6,7,2] => [1,3,3] => [3,3,1] => 3
[5,3,1,4,7,2,6] => [1,3,3] => [3,3,1] => 3
[5,3,1,4,7,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,1,6,2,4,7] => [1,2,4] => [4,2,1] => 3
[5,3,1,6,2,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[5,3,1,6,4,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[5,3,1,6,4,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[5,3,1,6,7,2,4] => [1,2,4] => [4,2,1] => 3
[5,3,1,6,7,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[5,3,1,7,2,4,6] => [1,2,4] => [4,2,1] => 3
[5,3,1,7,2,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[5,3,1,7,4,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[5,3,1,7,4,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[5,3,1,7,6,2,4] => [1,2,1,3] => [3,2,1,1] => 4
[5,3,1,7,6,4,2] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[5,3,2,1,4,6,7] => [1,2,4] => [4,2,1] => 3
[5,3,2,1,4,7,6] => [1,2,2,2] => [2,2,2,1] => 4
[5,3,2,1,6,4,7] => [1,2,1,3] => [3,2,1,1] => 4
[5,3,2,1,6,7,4] => [1,2,1,3] => [3,2,1,1] => 4
[5,3,2,1,7,4,6] => [1,2,1,3] => [3,2,1,1] => 4
[5,3,2,1,7,6,4] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[5,3,2,4,1,6,7] => [1,3,3] => [3,3,1] => 3
[5,3,2,4,1,7,6] => [1,3,1,2] => [3,2,1,1] => 4
[5,3,2,4,6,1,7] => [1,3,3] => [3,3,1] => 3
[5,3,2,4,6,7,1] => [1,3,3] => [3,3,1] => 3
[5,3,2,4,7,1,6] => [1,3,3] => [3,3,1] => 3
[5,3,2,4,7,6,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,2,6,1,4,7] => [1,2,4] => [4,2,1] => 3
[5,3,2,6,1,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[5,3,2,6,4,1,7] => [1,2,2,2] => [2,2,2,1] => 4
[5,3,2,6,4,7,1] => [1,2,2,2] => [2,2,2,1] => 4
[5,3,2,6,7,1,4] => [1,2,4] => [4,2,1] => 3
[5,3,2,6,7,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[5,3,2,7,1,4,6] => [1,2,4] => [4,2,1] => 3
[5,3,2,7,1,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[5,3,2,7,4,1,6] => [1,2,2,2] => [2,2,2,1] => 4
[5,3,2,7,4,6,1] => [1,2,3,1] => [3,2,1,1] => 4
[5,3,2,7,6,1,4] => [1,2,1,3] => [3,2,1,1] => 4
[5,3,2,7,6,4,1] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[5,3,4,1,2,6,7] => [1,6] => [6,1] => 2
[5,3,4,1,2,7,6] => [1,4,2] => [4,2,1] => 3
[5,3,4,1,6,2,7] => [1,3,3] => [3,3,1] => 3
[5,3,4,1,6,7,2] => [1,3,3] => [3,3,1] => 3
[5,3,4,1,7,2,6] => [1,3,3] => [3,3,1] => 3
[5,3,4,1,7,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,4,2,1,6,7] => [1,3,3] => [3,3,1] => 3
[5,3,4,2,1,7,6] => [1,3,1,2] => [3,2,1,1] => 4
[5,3,4,2,6,1,7] => [1,3,3] => [3,3,1] => 3
[5,3,4,2,6,7,1] => [1,3,3] => [3,3,1] => 3
[5,3,4,2,7,1,6] => [1,3,3] => [3,3,1] => 3
[5,3,4,2,7,6,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,4,6,1,2,7] => [1,6] => [6,1] => 2
[5,3,4,6,1,7,2] => [1,4,2] => [4,2,1] => 3
[5,3,4,6,2,1,7] => [1,4,2] => [4,2,1] => 3
[5,3,4,6,2,7,1] => [1,4,2] => [4,2,1] => 3
[5,3,4,6,7,1,2] => [1,6] => [6,1] => 2
[5,3,4,6,7,2,1] => [1,5,1] => [5,1,1] => 3
[5,3,4,7,1,2,6] => [1,6] => [6,1] => 2
[5,3,4,7,1,6,2] => [1,5,1] => [5,1,1] => 3
[5,3,4,7,2,1,6] => [1,4,2] => [4,2,1] => 3
[5,3,4,7,2,6,1] => [1,5,1] => [5,1,1] => 3
[5,3,4,7,6,1,2] => [1,3,3] => [3,3,1] => 3
[5,3,4,7,6,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,6,1,2,4,7] => [1,6] => [6,1] => 2
[5,3,6,1,2,7,4] => [1,4,2] => [4,2,1] => 3
[5,3,6,1,4,2,7] => [1,4,2] => [4,2,1] => 3
[5,3,6,1,4,7,2] => [1,4,2] => [4,2,1] => 3
[5,3,6,1,7,2,4] => [1,3,3] => [3,3,1] => 3
[5,3,6,1,7,4,2] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,6,2,1,4,7] => [1,3,3] => [3,3,1] => 3
[5,3,6,2,1,7,4] => [1,3,1,2] => [3,2,1,1] => 4
[5,3,6,2,4,1,7] => [1,4,2] => [4,2,1] => 3
[5,3,6,2,4,7,1] => [1,4,2] => [4,2,1] => 3
[5,3,6,2,7,1,4] => [1,3,3] => [3,3,1] => 3
[5,3,6,2,7,4,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,6,4,1,2,7] => [1,3,3] => [3,3,1] => 3
[5,3,6,4,1,7,2] => [1,3,1,2] => [3,2,1,1] => 4
[5,3,6,4,2,1,7] => [1,3,1,2] => [3,2,1,1] => 4
[5,3,6,4,2,7,1] => [1,3,1,2] => [3,2,1,1] => 4
[5,3,6,4,7,1,2] => [1,3,3] => [3,3,1] => 3
[5,3,6,4,7,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,6,7,1,2,4] => [1,6] => [6,1] => 2
[5,3,6,7,1,4,2] => [1,5,1] => [5,1,1] => 3
[5,3,6,7,2,1,4] => [1,4,2] => [4,2,1] => 3
[5,3,6,7,2,4,1] => [1,5,1] => [5,1,1] => 3
[5,3,6,7,4,1,2] => [1,4,2] => [4,2,1] => 3
[5,3,6,7,4,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[5,3,7,1,2,4,6] => [1,6] => [6,1] => 2
[5,3,7,1,2,6,4] => [1,5,1] => [5,1,1] => 3
[5,3,7,1,4,2,6] => [1,4,2] => [4,2,1] => 3
[5,3,7,1,4,6,2] => [1,5,1] => [5,1,1] => 3
[5,3,7,1,6,2,4] => [1,3,3] => [3,3,1] => 3
[5,3,7,1,6,4,2] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,7,2,1,4,6] => [1,3,3] => [3,3,1] => 3
[5,3,7,2,1,6,4] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,7,2,4,1,6] => [1,4,2] => [4,2,1] => 3
[5,3,7,2,4,6,1] => [1,5,1] => [5,1,1] => 3
[5,3,7,2,6,1,4] => [1,3,3] => [3,3,1] => 3
[5,3,7,2,6,4,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,7,4,1,2,6] => [1,3,3] => [3,3,1] => 3
[5,3,7,4,1,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,7,4,2,1,6] => [1,3,1,2] => [3,2,1,1] => 4
[5,3,7,4,2,6,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,7,4,6,1,2] => [1,3,3] => [3,3,1] => 3
[5,3,7,4,6,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,3,7,6,1,2,4] => [1,2,4] => [4,2,1] => 3
[5,3,7,6,1,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[5,3,7,6,2,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[5,3,7,6,2,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[5,3,7,6,4,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[5,3,7,6,4,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[5,4,1,2,3,6,7] => [1,6] => [6,1] => 2
[5,4,1,2,3,7,6] => [1,4,2] => [4,2,1] => 3
[5,4,1,2,6,3,7] => [1,3,3] => [3,3,1] => 3
[5,4,1,2,6,7,3] => [1,3,3] => [3,3,1] => 3
[5,4,1,2,7,3,6] => [1,3,3] => [3,3,1] => 3
[5,4,1,2,7,6,3] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,1,3,2,6,7] => [1,3,3] => [3,3,1] => 3
[5,4,1,3,2,7,6] => [1,3,1,2] => [3,2,1,1] => 4
[5,4,1,3,6,2,7] => [1,3,3] => [3,3,1] => 3
[5,4,1,3,6,7,2] => [1,3,3] => [3,3,1] => 3
[5,4,1,3,7,2,6] => [1,3,3] => [3,3,1] => 3
[5,4,1,3,7,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,1,6,2,3,7] => [1,2,4] => [4,2,1] => 3
[5,4,1,6,2,7,3] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,1,6,3,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,1,6,3,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,1,6,7,2,3] => [1,2,4] => [4,2,1] => 3
[5,4,1,6,7,3,2] => [1,2,3,1] => [3,2,1,1] => 4
[5,4,1,7,2,3,6] => [1,2,4] => [4,2,1] => 3
[5,4,1,7,2,6,3] => [1,2,3,1] => [3,2,1,1] => 4
[5,4,1,7,3,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,1,7,3,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[5,4,1,7,6,2,3] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,1,7,6,3,2] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[5,4,2,1,3,6,7] => [1,2,4] => [4,2,1] => 3
[5,4,2,1,3,7,6] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,2,1,6,3,7] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,2,1,6,7,3] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,2,1,7,3,6] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,2,1,7,6,3] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[5,4,2,3,1,6,7] => [1,3,3] => [3,3,1] => 3
[5,4,2,3,1,7,6] => [1,3,1,2] => [3,2,1,1] => 4
[5,4,2,3,6,1,7] => [1,3,3] => [3,3,1] => 3
[5,4,2,3,6,7,1] => [1,3,3] => [3,3,1] => 3
[5,4,2,3,7,1,6] => [1,3,3] => [3,3,1] => 3
[5,4,2,3,7,6,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,2,6,1,3,7] => [1,2,4] => [4,2,1] => 3
[5,4,2,6,1,7,3] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,2,6,3,1,7] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,2,6,3,7,1] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,2,6,7,1,3] => [1,2,4] => [4,2,1] => 3
[5,4,2,6,7,3,1] => [1,2,3,1] => [3,2,1,1] => 4
[5,4,2,7,1,3,6] => [1,2,4] => [4,2,1] => 3
[5,4,2,7,1,6,3] => [1,2,3,1] => [3,2,1,1] => 4
[5,4,2,7,3,1,6] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,2,7,3,6,1] => [1,2,3,1] => [3,2,1,1] => 4
[5,4,2,7,6,1,3] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,2,7,6,3,1] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[5,4,3,1,2,6,7] => [1,2,4] => [4,2,1] => 3
[5,4,3,1,2,7,6] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,3,1,6,2,7] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,3,1,6,7,2] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,3,1,7,2,6] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,3,1,7,6,2] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[5,4,3,2,1,6,7] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,3,2,1,7,6] => [1,2,1,1,2] => [2,2,1,1,1] => 5
[5,4,3,2,6,1,7] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,3,2,6,7,1] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,3,2,7,1,6] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,3,2,7,6,1] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[5,4,3,6,1,2,7] => [1,2,4] => [4,2,1] => 3
[5,4,3,6,1,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,3,6,2,1,7] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,3,6,2,7,1] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,3,6,7,1,2] => [1,2,4] => [4,2,1] => 3
[5,4,3,6,7,2,1] => [1,2,3,1] => [3,2,1,1] => 4
[5,4,3,7,1,2,6] => [1,2,4] => [4,2,1] => 3
[5,4,3,7,1,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[5,4,3,7,2,1,6] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,3,7,2,6,1] => [1,2,3,1] => [3,2,1,1] => 4
[5,4,3,7,6,1,2] => [1,2,1,3] => [3,2,1,1] => 4
[5,4,3,7,6,2,1] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[5,4,6,1,2,3,7] => [1,6] => [6,1] => 2
[5,4,6,1,2,7,3] => [1,4,2] => [4,2,1] => 3
[5,4,6,1,3,2,7] => [1,4,2] => [4,2,1] => 3
[5,4,6,1,3,7,2] => [1,4,2] => [4,2,1] => 3
[5,4,6,1,7,2,3] => [1,3,3] => [3,3,1] => 3
[5,4,6,1,7,3,2] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,6,2,1,3,7] => [1,3,3] => [3,3,1] => 3
[5,4,6,2,1,7,3] => [1,3,1,2] => [3,2,1,1] => 4
[5,4,6,2,3,1,7] => [1,4,2] => [4,2,1] => 3
[5,4,6,2,3,7,1] => [1,4,2] => [4,2,1] => 3
[5,4,6,2,7,1,3] => [1,3,3] => [3,3,1] => 3
[5,4,6,2,7,3,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,6,3,1,2,7] => [1,3,3] => [3,3,1] => 3
[5,4,6,3,1,7,2] => [1,3,1,2] => [3,2,1,1] => 4
[5,4,6,3,2,1,7] => [1,3,1,2] => [3,2,1,1] => 4
[5,4,6,3,2,7,1] => [1,3,1,2] => [3,2,1,1] => 4
[5,4,6,3,7,1,2] => [1,3,3] => [3,3,1] => 3
[5,4,6,3,7,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,6,7,1,2,3] => [1,6] => [6,1] => 2
[5,4,6,7,1,3,2] => [1,5,1] => [5,1,1] => 3
[5,4,6,7,2,1,3] => [1,4,2] => [4,2,1] => 3
[5,4,6,7,2,3,1] => [1,5,1] => [5,1,1] => 3
[5,4,6,7,3,1,2] => [1,4,2] => [4,2,1] => 3
[5,4,6,7,3,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[5,4,7,1,2,3,6] => [1,6] => [6,1] => 2
[5,4,7,1,2,6,3] => [1,5,1] => [5,1,1] => 3
[5,4,7,1,3,2,6] => [1,4,2] => [4,2,1] => 3
[5,4,7,1,3,6,2] => [1,5,1] => [5,1,1] => 3
[5,4,7,1,6,2,3] => [1,3,3] => [3,3,1] => 3
[5,4,7,1,6,3,2] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,7,2,1,3,6] => [1,3,3] => [3,3,1] => 3
[5,4,7,2,1,6,3] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,7,2,3,1,6] => [1,4,2] => [4,2,1] => 3
[5,4,7,2,3,6,1] => [1,5,1] => [5,1,1] => 3
[5,4,7,2,6,1,3] => [1,3,3] => [3,3,1] => 3
[5,4,7,2,6,3,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,7,3,1,2,6] => [1,3,3] => [3,3,1] => 3
[5,4,7,3,1,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,7,3,2,1,6] => [1,3,1,2] => [3,2,1,1] => 4
[5,4,7,3,2,6,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,7,3,6,1,2] => [1,3,3] => [3,3,1] => 3
[5,4,7,3,6,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[5,4,7,6,1,2,3] => [1,2,4] => [4,2,1] => 3
[5,4,7,6,1,3,2] => [1,2,3,1] => [3,2,1,1] => 4
[5,4,7,6,2,1,3] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,7,6,2,3,1] => [1,2,3,1] => [3,2,1,1] => 4
[5,4,7,6,3,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[5,4,7,6,3,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[5,6,1,2,3,4,7] => [7] => [7] => 1
[5,6,1,2,3,7,4] => [5,2] => [5,2] => 2
[5,6,1,2,4,3,7] => [5,2] => [5,2] => 2
[5,6,1,2,4,7,3] => [5,2] => [5,2] => 2
[5,6,1,2,7,3,4] => [4,3] => [4,3] => 2
[5,6,1,2,7,4,3] => [4,2,1] => [4,2,1] => 3
[5,6,1,3,2,4,7] => [4,3] => [4,3] => 2
[5,6,1,3,2,7,4] => [4,1,2] => [4,2,1] => 3
[5,6,1,3,4,2,7] => [5,2] => [5,2] => 2
[5,6,1,3,4,7,2] => [5,2] => [5,2] => 2
[5,6,1,3,7,2,4] => [4,3] => [4,3] => 2
[5,6,1,3,7,4,2] => [4,2,1] => [4,2,1] => 3
[5,6,1,4,2,3,7] => [4,3] => [4,3] => 2
[5,6,1,4,2,7,3] => [4,1,2] => [4,2,1] => 3
[5,6,1,4,3,2,7] => [4,1,2] => [4,2,1] => 3
[5,6,1,4,3,7,2] => [4,1,2] => [4,2,1] => 3
[5,6,1,4,7,2,3] => [4,3] => [4,3] => 2
[5,6,1,4,7,3,2] => [4,2,1] => [4,2,1] => 3
[5,6,1,7,2,3,4] => [3,4] => [4,3] => 2
[5,6,1,7,2,4,3] => [3,3,1] => [3,3,1] => 3
[5,6,1,7,3,2,4] => [3,2,2] => [3,2,2] => 3
[5,6,1,7,3,4,2] => [3,3,1] => [3,3,1] => 3
[5,6,1,7,4,2,3] => [3,2,2] => [3,2,2] => 3
[5,6,1,7,4,3,2] => [3,2,1,1] => [3,2,1,1] => 4
[5,6,2,1,3,4,7] => [3,4] => [4,3] => 2
[5,6,2,1,3,7,4] => [3,2,2] => [3,2,2] => 3
[5,6,2,1,4,3,7] => [3,2,2] => [3,2,2] => 3
[5,6,2,1,4,7,3] => [3,2,2] => [3,2,2] => 3
[5,6,2,1,7,3,4] => [3,1,3] => [3,3,1] => 3
[5,6,2,1,7,4,3] => [3,1,2,1] => [3,2,1,1] => 4
[5,6,2,3,1,4,7] => [4,3] => [4,3] => 2
[5,6,2,3,1,7,4] => [4,1,2] => [4,2,1] => 3
[5,6,2,3,4,1,7] => [5,2] => [5,2] => 2
[5,6,2,3,4,7,1] => [5,2] => [5,2] => 2
[5,6,2,3,7,1,4] => [4,3] => [4,3] => 2
[5,6,2,3,7,4,1] => [4,2,1] => [4,2,1] => 3
[5,6,2,4,1,3,7] => [4,3] => [4,3] => 2
[5,6,2,4,1,7,3] => [4,1,2] => [4,2,1] => 3
[5,6,2,4,3,1,7] => [4,1,2] => [4,2,1] => 3
[5,6,2,4,3,7,1] => [4,1,2] => [4,2,1] => 3
[5,6,2,4,7,1,3] => [4,3] => [4,3] => 2
[5,6,2,4,7,3,1] => [4,2,1] => [4,2,1] => 3
[5,6,2,7,1,3,4] => [3,4] => [4,3] => 2
[5,6,2,7,1,4,3] => [3,3,1] => [3,3,1] => 3
[5,6,2,7,3,1,4] => [3,2,2] => [3,2,2] => 3
[5,6,2,7,3,4,1] => [3,3,1] => [3,3,1] => 3
[5,6,2,7,4,1,3] => [3,2,2] => [3,2,2] => 3
[5,6,2,7,4,3,1] => [3,2,1,1] => [3,2,1,1] => 4
[5,6,3,1,2,4,7] => [3,4] => [4,3] => 2
[5,6,3,1,2,7,4] => [3,2,2] => [3,2,2] => 3
[5,6,3,1,4,2,7] => [3,2,2] => [3,2,2] => 3
[5,6,3,1,4,7,2] => [3,2,2] => [3,2,2] => 3
[5,6,3,1,7,2,4] => [3,1,3] => [3,3,1] => 3
[5,6,3,1,7,4,2] => [3,1,2,1] => [3,2,1,1] => 4
[5,6,3,2,1,4,7] => [3,1,3] => [3,3,1] => 3
[5,6,3,2,1,7,4] => [3,1,1,2] => [3,2,1,1] => 4
[5,6,3,2,4,1,7] => [3,2,2] => [3,2,2] => 3
[5,6,3,2,4,7,1] => [3,2,2] => [3,2,2] => 3
[5,6,3,2,7,1,4] => [3,1,3] => [3,3,1] => 3
[5,6,3,2,7,4,1] => [3,1,2,1] => [3,2,1,1] => 4
[5,6,3,4,1,2,7] => [4,3] => [4,3] => 2
[5,6,3,4,1,7,2] => [4,1,2] => [4,2,1] => 3
[5,6,3,4,2,1,7] => [4,1,2] => [4,2,1] => 3
[5,6,3,4,2,7,1] => [4,1,2] => [4,2,1] => 3
[5,6,3,4,7,1,2] => [4,3] => [4,3] => 2
[5,6,3,4,7,2,1] => [4,2,1] => [4,2,1] => 3
[5,6,3,7,1,2,4] => [3,4] => [4,3] => 2
[5,6,3,7,1,4,2] => [3,3,1] => [3,3,1] => 3
[5,6,3,7,2,1,4] => [3,2,2] => [3,2,2] => 3
[5,6,3,7,2,4,1] => [3,3,1] => [3,3,1] => 3
[5,6,3,7,4,1,2] => [3,2,2] => [3,2,2] => 3
[5,6,3,7,4,2,1] => [3,2,1,1] => [3,2,1,1] => 4
[5,6,4,1,2,3,7] => [2,5] => [5,2] => 2
[5,6,4,1,2,7,3] => [2,3,2] => [3,2,2] => 3
[5,6,4,1,3,2,7] => [2,3,2] => [3,2,2] => 3
[5,6,4,1,3,7,2] => [2,3,2] => [3,2,2] => 3
[5,6,4,1,7,2,3] => [2,2,3] => [3,2,2] => 3
[5,6,4,1,7,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,6,4,2,1,3,7] => [2,2,3] => [3,2,2] => 3
[5,6,4,2,1,7,3] => [2,2,1,2] => [2,2,2,1] => 4
[5,6,4,2,3,1,7] => [2,3,2] => [3,2,2] => 3
[5,6,4,2,3,7,1] => [2,3,2] => [3,2,2] => 3
[5,6,4,2,7,1,3] => [2,2,3] => [3,2,2] => 3
[5,6,4,2,7,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,6,4,3,1,2,7] => [2,2,3] => [3,2,2] => 3
[5,6,4,3,1,7,2] => [2,2,1,2] => [2,2,2,1] => 4
[5,6,4,3,2,1,7] => [2,2,1,2] => [2,2,2,1] => 4
[5,6,4,3,2,7,1] => [2,2,1,2] => [2,2,2,1] => 4
[5,6,4,3,7,1,2] => [2,2,3] => [3,2,2] => 3
[5,6,4,3,7,2,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,6,4,7,1,2,3] => [2,5] => [5,2] => 2
[5,6,4,7,1,3,2] => [2,4,1] => [4,2,1] => 3
[5,6,4,7,2,1,3] => [2,3,2] => [3,2,2] => 3
[5,6,4,7,2,3,1] => [2,4,1] => [4,2,1] => 3
[5,6,4,7,3,1,2] => [2,3,2] => [3,2,2] => 3
[5,6,4,7,3,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[5,6,7,1,2,3,4] => [7] => [7] => 1
[5,6,7,1,2,4,3] => [6,1] => [6,1] => 2
[5,6,7,1,3,2,4] => [5,2] => [5,2] => 2
[5,6,7,1,3,4,2] => [6,1] => [6,1] => 2
[5,6,7,1,4,2,3] => [5,2] => [5,2] => 2
[5,6,7,1,4,3,2] => [5,1,1] => [5,1,1] => 3
[5,6,7,2,1,3,4] => [4,3] => [4,3] => 2
[5,6,7,2,1,4,3] => [4,2,1] => [4,2,1] => 3
[5,6,7,2,3,1,4] => [5,2] => [5,2] => 2
[5,6,7,2,3,4,1] => [6,1] => [6,1] => 2
[5,6,7,2,4,1,3] => [5,2] => [5,2] => 2
[5,6,7,2,4,3,1] => [5,1,1] => [5,1,1] => 3
[5,6,7,3,1,2,4] => [4,3] => [4,3] => 2
[5,6,7,3,1,4,2] => [4,2,1] => [4,2,1] => 3
[5,6,7,3,2,1,4] => [4,1,2] => [4,2,1] => 3
[5,6,7,3,2,4,1] => [4,2,1] => [4,2,1] => 3
[5,6,7,3,4,1,2] => [5,2] => [5,2] => 2
[5,6,7,3,4,2,1] => [5,1,1] => [5,1,1] => 3
[5,6,7,4,1,2,3] => [4,3] => [4,3] => 2
[5,6,7,4,1,3,2] => [4,2,1] => [4,2,1] => 3
[5,6,7,4,2,1,3] => [4,1,2] => [4,2,1] => 3
[5,6,7,4,2,3,1] => [4,2,1] => [4,2,1] => 3
[5,6,7,4,3,1,2] => [4,1,2] => [4,2,1] => 3
[5,6,7,4,3,2,1] => [4,1,1,1] => [4,1,1,1] => 4
[5,7,1,2,3,4,6] => [7] => [7] => 1
[5,7,1,2,3,6,4] => [6,1] => [6,1] => 2
[5,7,1,2,4,3,6] => [5,2] => [5,2] => 2
[5,7,1,2,4,6,3] => [6,1] => [6,1] => 2
[5,7,1,2,6,3,4] => [4,3] => [4,3] => 2
[5,7,1,2,6,4,3] => [4,2,1] => [4,2,1] => 3
[5,7,1,3,2,4,6] => [4,3] => [4,3] => 2
[5,7,1,3,2,6,4] => [4,2,1] => [4,2,1] => 3
[5,7,1,3,4,2,6] => [5,2] => [5,2] => 2
[5,7,1,3,4,6,2] => [6,1] => [6,1] => 2
[5,7,1,3,6,2,4] => [4,3] => [4,3] => 2
[5,7,1,3,6,4,2] => [4,2,1] => [4,2,1] => 3
[5,7,1,4,2,3,6] => [4,3] => [4,3] => 2
[5,7,1,4,2,6,3] => [4,2,1] => [4,2,1] => 3
[5,7,1,4,3,2,6] => [4,1,2] => [4,2,1] => 3
[5,7,1,4,3,6,2] => [4,2,1] => [4,2,1] => 3
[5,7,1,4,6,2,3] => [4,3] => [4,3] => 2
[5,7,1,4,6,3,2] => [4,2,1] => [4,2,1] => 3
[5,7,1,6,2,3,4] => [3,4] => [4,3] => 2
[5,7,1,6,2,4,3] => [3,3,1] => [3,3,1] => 3
[5,7,1,6,3,2,4] => [3,2,2] => [3,2,2] => 3
[5,7,1,6,3,4,2] => [3,3,1] => [3,3,1] => 3
[5,7,1,6,4,2,3] => [3,2,2] => [3,2,2] => 3
[5,7,1,6,4,3,2] => [3,2,1,1] => [3,2,1,1] => 4
[5,7,2,1,3,4,6] => [3,4] => [4,3] => 2
[5,7,2,1,3,6,4] => [3,3,1] => [3,3,1] => 3
[5,7,2,1,4,3,6] => [3,2,2] => [3,2,2] => 3
[5,7,2,1,4,6,3] => [3,3,1] => [3,3,1] => 3
[5,7,2,1,6,3,4] => [3,1,3] => [3,3,1] => 3
[5,7,2,1,6,4,3] => [3,1,2,1] => [3,2,1,1] => 4
[5,7,2,3,1,4,6] => [4,3] => [4,3] => 2
[5,7,2,3,1,6,4] => [4,2,1] => [4,2,1] => 3
[5,7,2,3,4,1,6] => [5,2] => [5,2] => 2
[5,7,2,3,4,6,1] => [6,1] => [6,1] => 2
[5,7,2,3,6,1,4] => [4,3] => [4,3] => 2
[5,7,2,3,6,4,1] => [4,2,1] => [4,2,1] => 3
[5,7,2,4,1,3,6] => [4,3] => [4,3] => 2
[5,7,2,4,1,6,3] => [4,2,1] => [4,2,1] => 3
[5,7,2,4,3,1,6] => [4,1,2] => [4,2,1] => 3
[5,7,2,4,3,6,1] => [4,2,1] => [4,2,1] => 3
[5,7,2,4,6,1,3] => [4,3] => [4,3] => 2
[5,7,2,4,6,3,1] => [4,2,1] => [4,2,1] => 3
[5,7,2,6,1,3,4] => [3,4] => [4,3] => 2
[5,7,2,6,1,4,3] => [3,3,1] => [3,3,1] => 3
[5,7,2,6,3,1,4] => [3,2,2] => [3,2,2] => 3
[5,7,2,6,3,4,1] => [3,3,1] => [3,3,1] => 3
[5,7,2,6,4,1,3] => [3,2,2] => [3,2,2] => 3
[5,7,2,6,4,3,1] => [3,2,1,1] => [3,2,1,1] => 4
[5,7,3,1,2,4,6] => [3,4] => [4,3] => 2
[5,7,3,1,2,6,4] => [3,3,1] => [3,3,1] => 3
[5,7,3,1,4,2,6] => [3,2,2] => [3,2,2] => 3
[5,7,3,1,4,6,2] => [3,3,1] => [3,3,1] => 3
[5,7,3,1,6,2,4] => [3,1,3] => [3,3,1] => 3
[5,7,3,1,6,4,2] => [3,1,2,1] => [3,2,1,1] => 4
[5,7,3,2,1,4,6] => [3,1,3] => [3,3,1] => 3
[5,7,3,2,1,6,4] => [3,1,2,1] => [3,2,1,1] => 4
[5,7,3,2,4,1,6] => [3,2,2] => [3,2,2] => 3
[5,7,3,2,4,6,1] => [3,3,1] => [3,3,1] => 3
[5,7,3,2,6,1,4] => [3,1,3] => [3,3,1] => 3
[5,7,3,2,6,4,1] => [3,1,2,1] => [3,2,1,1] => 4
[5,7,3,4,1,2,6] => [4,3] => [4,3] => 2
[5,7,3,4,1,6,2] => [4,2,1] => [4,2,1] => 3
[5,7,3,4,2,1,6] => [4,1,2] => [4,2,1] => 3
[5,7,3,4,2,6,1] => [4,2,1] => [4,2,1] => 3
[5,7,3,4,6,1,2] => [4,3] => [4,3] => 2
[5,7,3,4,6,2,1] => [4,2,1] => [4,2,1] => 3
[5,7,3,6,1,2,4] => [3,4] => [4,3] => 2
[5,7,3,6,1,4,2] => [3,3,1] => [3,3,1] => 3
[5,7,3,6,2,1,4] => [3,2,2] => [3,2,2] => 3
[5,7,3,6,2,4,1] => [3,3,1] => [3,3,1] => 3
[5,7,3,6,4,1,2] => [3,2,2] => [3,2,2] => 3
[5,7,3,6,4,2,1] => [3,2,1,1] => [3,2,1,1] => 4
[5,7,4,1,2,3,6] => [2,5] => [5,2] => 2
[5,7,4,1,2,6,3] => [2,4,1] => [4,2,1] => 3
[5,7,4,1,3,2,6] => [2,3,2] => [3,2,2] => 3
[5,7,4,1,3,6,2] => [2,4,1] => [4,2,1] => 3
[5,7,4,1,6,2,3] => [2,2,3] => [3,2,2] => 3
[5,7,4,1,6,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,7,4,2,1,3,6] => [2,2,3] => [3,2,2] => 3
[5,7,4,2,1,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[5,7,4,2,3,1,6] => [2,3,2] => [3,2,2] => 3
[5,7,4,2,3,6,1] => [2,4,1] => [4,2,1] => 3
[5,7,4,2,6,1,3] => [2,2,3] => [3,2,2] => 3
[5,7,4,2,6,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,7,4,3,1,2,6] => [2,2,3] => [3,2,2] => 3
[5,7,4,3,1,6,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,7,4,3,2,1,6] => [2,2,1,2] => [2,2,2,1] => 4
[5,7,4,3,2,6,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,7,4,3,6,1,2] => [2,2,3] => [3,2,2] => 3
[5,7,4,3,6,2,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,7,4,6,1,2,3] => [2,5] => [5,2] => 2
[5,7,4,6,1,3,2] => [2,4,1] => [4,2,1] => 3
[5,7,4,6,2,1,3] => [2,3,2] => [3,2,2] => 3
[5,7,4,6,2,3,1] => [2,4,1] => [4,2,1] => 3
[5,7,4,6,3,1,2] => [2,3,2] => [3,2,2] => 3
[5,7,4,6,3,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[5,7,6,1,2,3,4] => [2,5] => [5,2] => 2
[5,7,6,1,2,4,3] => [2,4,1] => [4,2,1] => 3
[5,7,6,1,3,2,4] => [2,3,2] => [3,2,2] => 3
[5,7,6,1,3,4,2] => [2,4,1] => [4,2,1] => 3
[5,7,6,1,4,2,3] => [2,3,2] => [3,2,2] => 3
[5,7,6,1,4,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[5,7,6,2,1,3,4] => [2,2,3] => [3,2,2] => 3
[5,7,6,2,1,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[5,7,6,2,3,1,4] => [2,3,2] => [3,2,2] => 3
[5,7,6,2,3,4,1] => [2,4,1] => [4,2,1] => 3
[5,7,6,2,4,1,3] => [2,3,2] => [3,2,2] => 3
[5,7,6,2,4,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[5,7,6,3,1,2,4] => [2,2,3] => [3,2,2] => 3
[5,7,6,3,1,4,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,7,6,3,2,1,4] => [2,2,1,2] => [2,2,2,1] => 4
[5,7,6,3,2,4,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,7,6,3,4,1,2] => [2,3,2] => [3,2,2] => 3
[5,7,6,3,4,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[5,7,6,4,1,2,3] => [2,2,3] => [3,2,2] => 3
[5,7,6,4,1,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[5,7,6,4,2,1,3] => [2,2,1,2] => [2,2,2,1] => 4
[5,7,6,4,2,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[5,7,6,4,3,1,2] => [2,2,1,2] => [2,2,2,1] => 4
[5,7,6,4,3,2,1] => [2,2,1,1,1] => [2,2,1,1,1] => 5
[6,1,2,3,4,5,7] => [7] => [7] => 1
[6,1,2,3,4,7,5] => [5,2] => [5,2] => 2
[6,1,2,3,5,4,7] => [5,2] => [5,2] => 2
[6,1,2,3,5,7,4] => [5,2] => [5,2] => 2
[6,1,2,3,7,4,5] => [4,3] => [4,3] => 2
[6,1,2,3,7,5,4] => [4,2,1] => [4,2,1] => 3
[6,1,2,4,3,5,7] => [4,3] => [4,3] => 2
[6,1,2,4,3,7,5] => [4,1,2] => [4,2,1] => 3
[6,1,2,4,5,3,7] => [5,2] => [5,2] => 2
[6,1,2,4,5,7,3] => [5,2] => [5,2] => 2
[6,1,2,4,7,3,5] => [4,3] => [4,3] => 2
[6,1,2,4,7,5,3] => [4,2,1] => [4,2,1] => 3
[6,1,2,5,3,4,7] => [3,4] => [4,3] => 2
[6,1,2,5,3,7,4] => [3,2,2] => [3,2,2] => 3
[6,1,2,5,4,3,7] => [3,2,2] => [3,2,2] => 3
[6,1,2,5,4,7,3] => [3,2,2] => [3,2,2] => 3
[6,1,2,5,7,3,4] => [3,4] => [4,3] => 2
[6,1,2,5,7,4,3] => [3,3,1] => [3,3,1] => 3
[6,1,2,7,3,4,5] => [3,4] => [4,3] => 2
[6,1,2,7,3,5,4] => [3,3,1] => [3,3,1] => 3
[6,1,2,7,4,3,5] => [3,2,2] => [3,2,2] => 3
[6,1,2,7,4,5,3] => [3,3,1] => [3,3,1] => 3
[6,1,2,7,5,3,4] => [3,2,2] => [3,2,2] => 3
[6,1,2,7,5,4,3] => [3,2,1,1] => [3,2,1,1] => 4
[6,1,3,2,4,5,7] => [3,4] => [4,3] => 2
[6,1,3,2,4,7,5] => [3,2,2] => [3,2,2] => 3
[6,1,3,2,5,4,7] => [3,2,2] => [3,2,2] => 3
[6,1,3,2,5,7,4] => [3,2,2] => [3,2,2] => 3
[6,1,3,2,7,4,5] => [3,1,3] => [3,3,1] => 3
[6,1,3,2,7,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[6,1,3,4,2,5,7] => [4,3] => [4,3] => 2
[6,1,3,4,2,7,5] => [4,1,2] => [4,2,1] => 3
[6,1,3,4,5,2,7] => [5,2] => [5,2] => 2
[6,1,3,4,5,7,2] => [5,2] => [5,2] => 2
[6,1,3,4,7,2,5] => [4,3] => [4,3] => 2
[6,1,3,4,7,5,2] => [4,2,1] => [4,2,1] => 3
[6,1,3,5,2,4,7] => [3,4] => [4,3] => 2
[6,1,3,5,2,7,4] => [3,2,2] => [3,2,2] => 3
[6,1,3,5,4,2,7] => [3,2,2] => [3,2,2] => 3
[6,1,3,5,4,7,2] => [3,2,2] => [3,2,2] => 3
[6,1,3,5,7,2,4] => [3,4] => [4,3] => 2
[6,1,3,5,7,4,2] => [3,3,1] => [3,3,1] => 3
[6,1,3,7,2,4,5] => [3,4] => [4,3] => 2
[6,1,3,7,2,5,4] => [3,3,1] => [3,3,1] => 3
[6,1,3,7,4,2,5] => [3,2,2] => [3,2,2] => 3
[6,1,3,7,4,5,2] => [3,3,1] => [3,3,1] => 3
[6,1,3,7,5,2,4] => [3,2,2] => [3,2,2] => 3
[6,1,3,7,5,4,2] => [3,2,1,1] => [3,2,1,1] => 4
[6,1,4,2,3,5,7] => [2,5] => [5,2] => 2
[6,1,4,2,3,7,5] => [2,3,2] => [3,2,2] => 3
[6,1,4,2,5,3,7] => [2,3,2] => [3,2,2] => 3
[6,1,4,2,5,7,3] => [2,3,2] => [3,2,2] => 3
[6,1,4,2,7,3,5] => [2,2,3] => [3,2,2] => 3
[6,1,4,2,7,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[6,1,4,3,2,5,7] => [2,2,3] => [3,2,2] => 3
[6,1,4,3,2,7,5] => [2,2,1,2] => [2,2,2,1] => 4
[6,1,4,3,5,2,7] => [2,3,2] => [3,2,2] => 3
[6,1,4,3,5,7,2] => [2,3,2] => [3,2,2] => 3
[6,1,4,3,7,2,5] => [2,2,3] => [3,2,2] => 3
[6,1,4,3,7,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[6,1,4,5,2,3,7] => [2,5] => [5,2] => 2
[6,1,4,5,2,7,3] => [2,3,2] => [3,2,2] => 3
[6,1,4,5,3,2,7] => [2,3,2] => [3,2,2] => 3
[6,1,4,5,3,7,2] => [2,3,2] => [3,2,2] => 3
[6,1,4,5,7,2,3] => [2,5] => [5,2] => 2
[6,1,4,5,7,3,2] => [2,4,1] => [4,2,1] => 3
[6,1,4,7,2,3,5] => [2,5] => [5,2] => 2
[6,1,4,7,2,5,3] => [2,4,1] => [4,2,1] => 3
[6,1,4,7,3,2,5] => [2,3,2] => [3,2,2] => 3
[6,1,4,7,3,5,2] => [2,4,1] => [4,2,1] => 3
[6,1,4,7,5,2,3] => [2,3,2] => [3,2,2] => 3
[6,1,4,7,5,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[6,1,5,2,3,4,7] => [2,5] => [5,2] => 2
[6,1,5,2,3,7,4] => [2,3,2] => [3,2,2] => 3
[6,1,5,2,4,3,7] => [2,3,2] => [3,2,2] => 3
[6,1,5,2,4,7,3] => [2,3,2] => [3,2,2] => 3
[6,1,5,2,7,3,4] => [2,2,3] => [3,2,2] => 3
[6,1,5,2,7,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[6,1,5,3,2,4,7] => [2,2,3] => [3,2,2] => 3
[6,1,5,3,2,7,4] => [2,2,1,2] => [2,2,2,1] => 4
[6,1,5,3,4,2,7] => [2,3,2] => [3,2,2] => 3
[6,1,5,3,4,7,2] => [2,3,2] => [3,2,2] => 3
[6,1,5,3,7,2,4] => [2,2,3] => [3,2,2] => 3
[6,1,5,3,7,4,2] => [2,2,2,1] => [2,2,2,1] => 4
[6,1,5,4,2,3,7] => [2,2,3] => [3,2,2] => 3
[6,1,5,4,2,7,3] => [2,2,1,2] => [2,2,2,1] => 4
[6,1,5,4,3,2,7] => [2,2,1,2] => [2,2,2,1] => 4
[6,1,5,4,3,7,2] => [2,2,1,2] => [2,2,2,1] => 4
[6,1,5,4,7,2,3] => [2,2,3] => [3,2,2] => 3
[6,1,5,4,7,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[6,1,5,7,2,3,4] => [2,5] => [5,2] => 2
[6,1,5,7,2,4,3] => [2,4,1] => [4,2,1] => 3
[6,1,5,7,3,2,4] => [2,3,2] => [3,2,2] => 3
[6,1,5,7,3,4,2] => [2,4,1] => [4,2,1] => 3
[6,1,5,7,4,2,3] => [2,3,2] => [3,2,2] => 3
[6,1,5,7,4,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[6,1,7,2,3,4,5] => [2,5] => [5,2] => 2
[6,1,7,2,3,5,4] => [2,4,1] => [4,2,1] => 3
[6,1,7,2,4,3,5] => [2,3,2] => [3,2,2] => 3
[6,1,7,2,4,5,3] => [2,4,1] => [4,2,1] => 3
[6,1,7,2,5,3,4] => [2,3,2] => [3,2,2] => 3
[6,1,7,2,5,4,3] => [2,3,1,1] => [3,2,1,1] => 4
[6,1,7,3,2,4,5] => [2,2,3] => [3,2,2] => 3
[6,1,7,3,2,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[6,1,7,3,4,2,5] => [2,3,2] => [3,2,2] => 3
[6,1,7,3,4,5,2] => [2,4,1] => [4,2,1] => 3
[6,1,7,3,5,2,4] => [2,3,2] => [3,2,2] => 3
[6,1,7,3,5,4,2] => [2,3,1,1] => [3,2,1,1] => 4
[6,1,7,4,2,3,5] => [2,2,3] => [3,2,2] => 3
[6,1,7,4,2,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[6,1,7,4,3,2,5] => [2,2,1,2] => [2,2,2,1] => 4
[6,1,7,4,3,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[6,1,7,4,5,2,3] => [2,3,2] => [3,2,2] => 3
[6,1,7,4,5,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[6,1,7,5,2,3,4] => [2,1,4] => [4,2,1] => 3
[6,1,7,5,2,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[6,1,7,5,3,2,4] => [2,1,2,2] => [2,2,2,1] => 4
[6,1,7,5,3,4,2] => [2,1,3,1] => [3,2,1,1] => 4
[6,1,7,5,4,2,3] => [2,1,2,2] => [2,2,2,1] => 4
[6,1,7,5,4,3,2] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[6,2,1,3,4,5,7] => [2,5] => [5,2] => 2
[6,2,1,3,4,7,5] => [2,3,2] => [3,2,2] => 3
[6,2,1,3,5,4,7] => [2,3,2] => [3,2,2] => 3
[6,2,1,3,5,7,4] => [2,3,2] => [3,2,2] => 3
[6,2,1,3,7,4,5] => [2,2,3] => [3,2,2] => 3
[6,2,1,3,7,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[6,2,1,4,3,5,7] => [2,2,3] => [3,2,2] => 3
[6,2,1,4,3,7,5] => [2,2,1,2] => [2,2,2,1] => 4
[6,2,1,4,5,3,7] => [2,3,2] => [3,2,2] => 3
[6,2,1,4,5,7,3] => [2,3,2] => [3,2,2] => 3
[6,2,1,4,7,3,5] => [2,2,3] => [3,2,2] => 3
[6,2,1,4,7,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[6,2,1,5,3,4,7] => [2,1,4] => [4,2,1] => 3
[6,2,1,5,3,7,4] => [2,1,2,2] => [2,2,2,1] => 4
[6,2,1,5,4,3,7] => [2,1,2,2] => [2,2,2,1] => 4
[6,2,1,5,4,7,3] => [2,1,2,2] => [2,2,2,1] => 4
[6,2,1,5,7,3,4] => [2,1,4] => [4,2,1] => 3
[6,2,1,5,7,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[6,2,1,7,3,4,5] => [2,1,4] => [4,2,1] => 3
[6,2,1,7,3,5,4] => [2,1,3,1] => [3,2,1,1] => 4
[6,2,1,7,4,3,5] => [2,1,2,2] => [2,2,2,1] => 4
[6,2,1,7,4,5,3] => [2,1,3,1] => [3,2,1,1] => 4
[6,2,1,7,5,3,4] => [2,1,2,2] => [2,2,2,1] => 4
[6,2,1,7,5,4,3] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[6,2,3,1,4,5,7] => [3,4] => [4,3] => 2
[6,2,3,1,4,7,5] => [3,2,2] => [3,2,2] => 3
[6,2,3,1,5,4,7] => [3,2,2] => [3,2,2] => 3
[6,2,3,1,5,7,4] => [3,2,2] => [3,2,2] => 3
[6,2,3,1,7,4,5] => [3,1,3] => [3,3,1] => 3
[6,2,3,1,7,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[6,2,3,4,1,5,7] => [4,3] => [4,3] => 2
[6,2,3,4,1,7,5] => [4,1,2] => [4,2,1] => 3
[6,2,3,4,5,1,7] => [5,2] => [5,2] => 2
[6,2,3,4,5,7,1] => [5,2] => [5,2] => 2
[6,2,3,4,7,1,5] => [4,3] => [4,3] => 2
[6,2,3,4,7,5,1] => [4,2,1] => [4,2,1] => 3
[6,2,3,5,1,4,7] => [3,4] => [4,3] => 2
[6,2,3,5,1,7,4] => [3,2,2] => [3,2,2] => 3
[6,2,3,5,4,1,7] => [3,2,2] => [3,2,2] => 3
[6,2,3,5,4,7,1] => [3,2,2] => [3,2,2] => 3
[6,2,3,5,7,1,4] => [3,4] => [4,3] => 2
[6,2,3,5,7,4,1] => [3,3,1] => [3,3,1] => 3
[6,2,3,7,1,4,5] => [3,4] => [4,3] => 2
[6,2,3,7,1,5,4] => [3,3,1] => [3,3,1] => 3
[6,2,3,7,4,1,5] => [3,2,2] => [3,2,2] => 3
[6,2,3,7,4,5,1] => [3,3,1] => [3,3,1] => 3
[6,2,3,7,5,1,4] => [3,2,2] => [3,2,2] => 3
[6,2,3,7,5,4,1] => [3,2,1,1] => [3,2,1,1] => 4
[6,2,4,1,3,5,7] => [2,5] => [5,2] => 2
[6,2,4,1,3,7,5] => [2,3,2] => [3,2,2] => 3
[6,2,4,1,5,3,7] => [2,3,2] => [3,2,2] => 3
[6,2,4,1,5,7,3] => [2,3,2] => [3,2,2] => 3
[6,2,4,1,7,3,5] => [2,2,3] => [3,2,2] => 3
[6,2,4,1,7,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[6,2,4,3,1,5,7] => [2,2,3] => [3,2,2] => 3
[6,2,4,3,1,7,5] => [2,2,1,2] => [2,2,2,1] => 4
[6,2,4,3,5,1,7] => [2,3,2] => [3,2,2] => 3
[6,2,4,3,5,7,1] => [2,3,2] => [3,2,2] => 3
[6,2,4,3,7,1,5] => [2,2,3] => [3,2,2] => 3
[6,2,4,3,7,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[6,2,4,5,1,3,7] => [2,5] => [5,2] => 2
[6,2,4,5,1,7,3] => [2,3,2] => [3,2,2] => 3
[6,2,4,5,3,1,7] => [2,3,2] => [3,2,2] => 3
[6,2,4,5,3,7,1] => [2,3,2] => [3,2,2] => 3
[6,2,4,5,7,1,3] => [2,5] => [5,2] => 2
[6,2,4,5,7,3,1] => [2,4,1] => [4,2,1] => 3
[6,2,4,7,1,3,5] => [2,5] => [5,2] => 2
[6,2,4,7,1,5,3] => [2,4,1] => [4,2,1] => 3
[6,2,4,7,3,1,5] => [2,3,2] => [3,2,2] => 3
[6,2,4,7,3,5,1] => [2,4,1] => [4,2,1] => 3
[6,2,4,7,5,1,3] => [2,3,2] => [3,2,2] => 3
[6,2,4,7,5,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[6,2,5,1,3,4,7] => [2,5] => [5,2] => 2
[6,2,5,1,3,7,4] => [2,3,2] => [3,2,2] => 3
[6,2,5,1,4,3,7] => [2,3,2] => [3,2,2] => 3
[6,2,5,1,4,7,3] => [2,3,2] => [3,2,2] => 3
[6,2,5,1,7,3,4] => [2,2,3] => [3,2,2] => 3
[6,2,5,1,7,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[6,2,5,3,1,4,7] => [2,2,3] => [3,2,2] => 3
[6,2,5,3,1,7,4] => [2,2,1,2] => [2,2,2,1] => 4
[6,2,5,3,4,1,7] => [2,3,2] => [3,2,2] => 3
[6,2,5,3,4,7,1] => [2,3,2] => [3,2,2] => 3
[6,2,5,3,7,1,4] => [2,2,3] => [3,2,2] => 3
[6,2,5,3,7,4,1] => [2,2,2,1] => [2,2,2,1] => 4
[6,2,5,4,1,3,7] => [2,2,3] => [3,2,2] => 3
[6,2,5,4,1,7,3] => [2,2,1,2] => [2,2,2,1] => 4
[6,2,5,4,3,1,7] => [2,2,1,2] => [2,2,2,1] => 4
[6,2,5,4,3,7,1] => [2,2,1,2] => [2,2,2,1] => 4
[6,2,5,4,7,1,3] => [2,2,3] => [3,2,2] => 3
[6,2,5,4,7,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[6,2,5,7,1,3,4] => [2,5] => [5,2] => 2
[6,2,5,7,1,4,3] => [2,4,1] => [4,2,1] => 3
[6,2,5,7,3,1,4] => [2,3,2] => [3,2,2] => 3
[6,2,5,7,3,4,1] => [2,4,1] => [4,2,1] => 3
[6,2,5,7,4,1,3] => [2,3,2] => [3,2,2] => 3
[6,2,5,7,4,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[6,2,7,1,3,4,5] => [2,5] => [5,2] => 2
[6,2,7,1,3,5,4] => [2,4,1] => [4,2,1] => 3
[6,2,7,1,4,3,5] => [2,3,2] => [3,2,2] => 3
[6,2,7,1,4,5,3] => [2,4,1] => [4,2,1] => 3
[6,2,7,1,5,3,4] => [2,3,2] => [3,2,2] => 3
[6,2,7,1,5,4,3] => [2,3,1,1] => [3,2,1,1] => 4
[6,2,7,3,1,4,5] => [2,2,3] => [3,2,2] => 3
[6,2,7,3,1,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[6,2,7,3,4,1,5] => [2,3,2] => [3,2,2] => 3
[6,2,7,3,4,5,1] => [2,4,1] => [4,2,1] => 3
[6,2,7,3,5,1,4] => [2,3,2] => [3,2,2] => 3
[6,2,7,3,5,4,1] => [2,3,1,1] => [3,2,1,1] => 4
[6,2,7,4,1,3,5] => [2,2,3] => [3,2,2] => 3
[6,2,7,4,1,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[6,2,7,4,3,1,5] => [2,2,1,2] => [2,2,2,1] => 4
[6,2,7,4,3,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[6,2,7,4,5,1,3] => [2,3,2] => [3,2,2] => 3
[6,2,7,4,5,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[6,2,7,5,1,3,4] => [2,1,4] => [4,2,1] => 3
[6,2,7,5,1,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[6,2,7,5,3,1,4] => [2,1,2,2] => [2,2,2,1] => 4
[6,2,7,5,3,4,1] => [2,1,3,1] => [3,2,1,1] => 4
[6,2,7,5,4,1,3] => [2,1,2,2] => [2,2,2,1] => 4
[6,2,7,5,4,3,1] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[6,3,1,2,4,5,7] => [1,6] => [6,1] => 2
[6,3,1,2,4,7,5] => [1,4,2] => [4,2,1] => 3
[6,3,1,2,5,4,7] => [1,4,2] => [4,2,1] => 3
[6,3,1,2,5,7,4] => [1,4,2] => [4,2,1] => 3
[6,3,1,2,7,4,5] => [1,3,3] => [3,3,1] => 3
[6,3,1,2,7,5,4] => [1,3,2,1] => [3,2,1,1] => 4
[6,3,1,4,2,5,7] => [1,3,3] => [3,3,1] => 3
[6,3,1,4,2,7,5] => [1,3,1,2] => [3,2,1,1] => 4
[6,3,1,4,5,2,7] => [1,4,2] => [4,2,1] => 3
[6,3,1,4,5,7,2] => [1,4,2] => [4,2,1] => 3
[6,3,1,4,7,2,5] => [1,3,3] => [3,3,1] => 3
[6,3,1,4,7,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[6,3,1,5,2,4,7] => [1,2,4] => [4,2,1] => 3
[6,3,1,5,2,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,1,5,4,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,1,5,4,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,1,5,7,2,4] => [1,2,4] => [4,2,1] => 3
[6,3,1,5,7,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[6,3,1,7,2,4,5] => [1,2,4] => [4,2,1] => 3
[6,3,1,7,2,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[6,3,1,7,4,2,5] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,1,7,4,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[6,3,1,7,5,2,4] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,1,7,5,4,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[6,3,2,1,4,5,7] => [1,2,4] => [4,2,1] => 3
[6,3,2,1,4,7,5] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,2,1,5,4,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,2,1,5,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,2,1,7,4,5] => [1,2,1,3] => [3,2,1,1] => 4
[6,3,2,1,7,5,4] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[6,3,2,4,1,5,7] => [1,3,3] => [3,3,1] => 3
[6,3,2,4,1,7,5] => [1,3,1,2] => [3,2,1,1] => 4
[6,3,2,4,5,1,7] => [1,4,2] => [4,2,1] => 3
[6,3,2,4,5,7,1] => [1,4,2] => [4,2,1] => 3
[6,3,2,4,7,1,5] => [1,3,3] => [3,3,1] => 3
[6,3,2,4,7,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,3,2,5,1,4,7] => [1,2,4] => [4,2,1] => 3
[6,3,2,5,1,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,2,5,4,1,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,2,5,4,7,1] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,2,5,7,1,4] => [1,2,4] => [4,2,1] => 3
[6,3,2,5,7,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[6,3,2,7,1,4,5] => [1,2,4] => [4,2,1] => 3
[6,3,2,7,1,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[6,3,2,7,4,1,5] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,2,7,4,5,1] => [1,2,3,1] => [3,2,1,1] => 4
[6,3,2,7,5,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,2,7,5,4,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[6,3,4,1,2,5,7] => [1,6] => [6,1] => 2
[6,3,4,1,2,7,5] => [1,4,2] => [4,2,1] => 3
[6,3,4,1,5,2,7] => [1,4,2] => [4,2,1] => 3
[6,3,4,1,5,7,2] => [1,4,2] => [4,2,1] => 3
[6,3,4,1,7,2,5] => [1,3,3] => [3,3,1] => 3
[6,3,4,1,7,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[6,3,4,2,1,5,7] => [1,3,3] => [3,3,1] => 3
[6,3,4,2,1,7,5] => [1,3,1,2] => [3,2,1,1] => 4
[6,3,4,2,5,1,7] => [1,4,2] => [4,2,1] => 3
[6,3,4,2,5,7,1] => [1,4,2] => [4,2,1] => 3
[6,3,4,2,7,1,5] => [1,3,3] => [3,3,1] => 3
[6,3,4,2,7,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,3,4,5,1,2,7] => [1,6] => [6,1] => 2
[6,3,4,5,1,7,2] => [1,4,2] => [4,2,1] => 3
[6,3,4,5,2,1,7] => [1,4,2] => [4,2,1] => 3
[6,3,4,5,2,7,1] => [1,4,2] => [4,2,1] => 3
[6,3,4,5,7,1,2] => [1,6] => [6,1] => 2
[6,3,4,5,7,2,1] => [1,5,1] => [5,1,1] => 3
[6,3,4,7,1,2,5] => [1,6] => [6,1] => 2
[6,3,4,7,1,5,2] => [1,5,1] => [5,1,1] => 3
[6,3,4,7,2,1,5] => [1,4,2] => [4,2,1] => 3
[6,3,4,7,2,5,1] => [1,5,1] => [5,1,1] => 3
[6,3,4,7,5,1,2] => [1,4,2] => [4,2,1] => 3
[6,3,4,7,5,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[6,3,5,1,2,4,7] => [1,6] => [6,1] => 2
[6,3,5,1,2,7,4] => [1,4,2] => [4,2,1] => 3
[6,3,5,1,4,2,7] => [1,4,2] => [4,2,1] => 3
[6,3,5,1,4,7,2] => [1,4,2] => [4,2,1] => 3
[6,3,5,1,7,2,4] => [1,3,3] => [3,3,1] => 3
[6,3,5,1,7,4,2] => [1,3,2,1] => [3,2,1,1] => 4
[6,3,5,2,1,4,7] => [1,3,3] => [3,3,1] => 3
[6,3,5,2,1,7,4] => [1,3,1,2] => [3,2,1,1] => 4
[6,3,5,2,4,1,7] => [1,4,2] => [4,2,1] => 3
[6,3,5,2,4,7,1] => [1,4,2] => [4,2,1] => 3
[6,3,5,2,7,1,4] => [1,3,3] => [3,3,1] => 3
[6,3,5,2,7,4,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,3,5,4,1,2,7] => [1,3,3] => [3,3,1] => 3
[6,3,5,4,1,7,2] => [1,3,1,2] => [3,2,1,1] => 4
[6,3,5,4,2,1,7] => [1,3,1,2] => [3,2,1,1] => 4
[6,3,5,4,2,7,1] => [1,3,1,2] => [3,2,1,1] => 4
[6,3,5,4,7,1,2] => [1,3,3] => [3,3,1] => 3
[6,3,5,4,7,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,3,5,7,1,2,4] => [1,6] => [6,1] => 2
[6,3,5,7,1,4,2] => [1,5,1] => [5,1,1] => 3
[6,3,5,7,2,1,4] => [1,4,2] => [4,2,1] => 3
[6,3,5,7,2,4,1] => [1,5,1] => [5,1,1] => 3
[6,3,5,7,4,1,2] => [1,4,2] => [4,2,1] => 3
[6,3,5,7,4,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[6,3,7,1,2,4,5] => [1,6] => [6,1] => 2
[6,3,7,1,2,5,4] => [1,5,1] => [5,1,1] => 3
[6,3,7,1,4,2,5] => [1,4,2] => [4,2,1] => 3
[6,3,7,1,4,5,2] => [1,5,1] => [5,1,1] => 3
[6,3,7,1,5,2,4] => [1,4,2] => [4,2,1] => 3
[6,3,7,1,5,4,2] => [1,4,1,1] => [4,1,1,1] => 4
[6,3,7,2,1,4,5] => [1,3,3] => [3,3,1] => 3
[6,3,7,2,1,5,4] => [1,3,2,1] => [3,2,1,1] => 4
[6,3,7,2,4,1,5] => [1,4,2] => [4,2,1] => 3
[6,3,7,2,4,5,1] => [1,5,1] => [5,1,1] => 3
[6,3,7,2,5,1,4] => [1,4,2] => [4,2,1] => 3
[6,3,7,2,5,4,1] => [1,4,1,1] => [4,1,1,1] => 4
[6,3,7,4,1,2,5] => [1,3,3] => [3,3,1] => 3
[6,3,7,4,1,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[6,3,7,4,2,1,5] => [1,3,1,2] => [3,2,1,1] => 4
[6,3,7,4,2,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,3,7,4,5,1,2] => [1,4,2] => [4,2,1] => 3
[6,3,7,4,5,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[6,3,7,5,1,2,4] => [1,2,4] => [4,2,1] => 3
[6,3,7,5,1,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[6,3,7,5,2,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,7,5,2,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[6,3,7,5,4,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[6,3,7,5,4,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[6,4,1,2,3,5,7] => [1,6] => [6,1] => 2
[6,4,1,2,3,7,5] => [1,4,2] => [4,2,1] => 3
[6,4,1,2,5,3,7] => [1,4,2] => [4,2,1] => 3
[6,4,1,2,5,7,3] => [1,4,2] => [4,2,1] => 3
[6,4,1,2,7,3,5] => [1,3,3] => [3,3,1] => 3
[6,4,1,2,7,5,3] => [1,3,2,1] => [3,2,1,1] => 4
[6,4,1,3,2,5,7] => [1,3,3] => [3,3,1] => 3
[6,4,1,3,2,7,5] => [1,3,1,2] => [3,2,1,1] => 4
[6,4,1,3,5,2,7] => [1,4,2] => [4,2,1] => 3
[6,4,1,3,5,7,2] => [1,4,2] => [4,2,1] => 3
[6,4,1,3,7,2,5] => [1,3,3] => [3,3,1] => 3
[6,4,1,3,7,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[6,4,1,5,2,3,7] => [1,2,4] => [4,2,1] => 3
[6,4,1,5,2,7,3] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,1,5,3,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,1,5,3,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,1,5,7,2,3] => [1,2,4] => [4,2,1] => 3
[6,4,1,5,7,3,2] => [1,2,3,1] => [3,2,1,1] => 4
[6,4,1,7,2,3,5] => [1,2,4] => [4,2,1] => 3
[6,4,1,7,2,5,3] => [1,2,3,1] => [3,2,1,1] => 4
[6,4,1,7,3,2,5] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,1,7,3,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[6,4,1,7,5,2,3] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,1,7,5,3,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[6,4,2,1,3,5,7] => [1,2,4] => [4,2,1] => 3
[6,4,2,1,3,7,5] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,2,1,5,3,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,2,1,5,7,3] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,2,1,7,3,5] => [1,2,1,3] => [3,2,1,1] => 4
[6,4,2,1,7,5,3] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[6,4,2,3,1,5,7] => [1,3,3] => [3,3,1] => 3
[6,4,2,3,1,7,5] => [1,3,1,2] => [3,2,1,1] => 4
[6,4,2,3,5,1,7] => [1,4,2] => [4,2,1] => 3
[6,4,2,3,5,7,1] => [1,4,2] => [4,2,1] => 3
[6,4,2,3,7,1,5] => [1,3,3] => [3,3,1] => 3
[6,4,2,3,7,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,4,2,5,1,3,7] => [1,2,4] => [4,2,1] => 3
[6,4,2,5,1,7,3] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,2,5,3,1,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,2,5,3,7,1] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,2,5,7,1,3] => [1,2,4] => [4,2,1] => 3
[6,4,2,5,7,3,1] => [1,2,3,1] => [3,2,1,1] => 4
[6,4,2,7,1,3,5] => [1,2,4] => [4,2,1] => 3
[6,4,2,7,1,5,3] => [1,2,3,1] => [3,2,1,1] => 4
[6,4,2,7,3,1,5] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,2,7,3,5,1] => [1,2,3,1] => [3,2,1,1] => 4
[6,4,2,7,5,1,3] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,2,7,5,3,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[6,4,3,1,2,5,7] => [1,2,4] => [4,2,1] => 3
[6,4,3,1,2,7,5] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,3,1,5,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,3,1,5,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,3,1,7,2,5] => [1,2,1,3] => [3,2,1,1] => 4
[6,4,3,1,7,5,2] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[6,4,3,2,1,5,7] => [1,2,1,3] => [3,2,1,1] => 4
[6,4,3,2,1,7,5] => [1,2,1,1,2] => [2,2,1,1,1] => 5
[6,4,3,2,5,1,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,3,2,5,7,1] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,3,2,7,1,5] => [1,2,1,3] => [3,2,1,1] => 4
[6,4,3,2,7,5,1] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[6,4,3,5,1,2,7] => [1,2,4] => [4,2,1] => 3
[6,4,3,5,1,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,3,5,2,1,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,3,5,2,7,1] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,3,5,7,1,2] => [1,2,4] => [4,2,1] => 3
[6,4,3,5,7,2,1] => [1,2,3,1] => [3,2,1,1] => 4
[6,4,3,7,1,2,5] => [1,2,4] => [4,2,1] => 3
[6,4,3,7,1,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[6,4,3,7,2,1,5] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,3,7,2,5,1] => [1,2,3,1] => [3,2,1,1] => 4
[6,4,3,7,5,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,3,7,5,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[6,4,5,1,2,3,7] => [1,6] => [6,1] => 2
[6,4,5,1,2,7,3] => [1,4,2] => [4,2,1] => 3
[6,4,5,1,3,2,7] => [1,4,2] => [4,2,1] => 3
[6,4,5,1,3,7,2] => [1,4,2] => [4,2,1] => 3
[6,4,5,1,7,2,3] => [1,3,3] => [3,3,1] => 3
[6,4,5,1,7,3,2] => [1,3,2,1] => [3,2,1,1] => 4
[6,4,5,2,1,3,7] => [1,3,3] => [3,3,1] => 3
[6,4,5,2,1,7,3] => [1,3,1,2] => [3,2,1,1] => 4
[6,4,5,2,3,1,7] => [1,4,2] => [4,2,1] => 3
[6,4,5,2,3,7,1] => [1,4,2] => [4,2,1] => 3
[6,4,5,2,7,1,3] => [1,3,3] => [3,3,1] => 3
[6,4,5,2,7,3,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,4,5,3,1,2,7] => [1,3,3] => [3,3,1] => 3
[6,4,5,3,1,7,2] => [1,3,1,2] => [3,2,1,1] => 4
[6,4,5,3,2,1,7] => [1,3,1,2] => [3,2,1,1] => 4
[6,4,5,3,2,7,1] => [1,3,1,2] => [3,2,1,1] => 4
[6,4,5,3,7,1,2] => [1,3,3] => [3,3,1] => 3
[6,4,5,3,7,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,4,5,7,1,2,3] => [1,6] => [6,1] => 2
[6,4,5,7,1,3,2] => [1,5,1] => [5,1,1] => 3
[6,4,5,7,2,1,3] => [1,4,2] => [4,2,1] => 3
[6,4,5,7,2,3,1] => [1,5,1] => [5,1,1] => 3
[6,4,5,7,3,1,2] => [1,4,2] => [4,2,1] => 3
[6,4,5,7,3,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[6,4,7,1,2,3,5] => [1,6] => [6,1] => 2
[6,4,7,1,2,5,3] => [1,5,1] => [5,1,1] => 3
[6,4,7,1,3,2,5] => [1,4,2] => [4,2,1] => 3
[6,4,7,1,3,5,2] => [1,5,1] => [5,1,1] => 3
[6,4,7,1,5,2,3] => [1,4,2] => [4,2,1] => 3
[6,4,7,1,5,3,2] => [1,4,1,1] => [4,1,1,1] => 4
[6,4,7,2,1,3,5] => [1,3,3] => [3,3,1] => 3
[6,4,7,2,1,5,3] => [1,3,2,1] => [3,2,1,1] => 4
[6,4,7,2,3,1,5] => [1,4,2] => [4,2,1] => 3
[6,4,7,2,3,5,1] => [1,5,1] => [5,1,1] => 3
[6,4,7,2,5,1,3] => [1,4,2] => [4,2,1] => 3
[6,4,7,2,5,3,1] => [1,4,1,1] => [4,1,1,1] => 4
[6,4,7,3,1,2,5] => [1,3,3] => [3,3,1] => 3
[6,4,7,3,1,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[6,4,7,3,2,1,5] => [1,3,1,2] => [3,2,1,1] => 4
[6,4,7,3,2,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,4,7,3,5,1,2] => [1,4,2] => [4,2,1] => 3
[6,4,7,3,5,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[6,4,7,5,1,2,3] => [1,2,4] => [4,2,1] => 3
[6,4,7,5,1,3,2] => [1,2,3,1] => [3,2,1,1] => 4
[6,4,7,5,2,1,3] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,7,5,2,3,1] => [1,2,3,1] => [3,2,1,1] => 4
[6,4,7,5,3,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[6,4,7,5,3,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[6,5,1,2,3,4,7] => [1,6] => [6,1] => 2
[6,5,1,2,3,7,4] => [1,4,2] => [4,2,1] => 3
[6,5,1,2,4,3,7] => [1,4,2] => [4,2,1] => 3
[6,5,1,2,4,7,3] => [1,4,2] => [4,2,1] => 3
[6,5,1,2,7,3,4] => [1,3,3] => [3,3,1] => 3
[6,5,1,2,7,4,3] => [1,3,2,1] => [3,2,1,1] => 4
[6,5,1,3,2,4,7] => [1,3,3] => [3,3,1] => 3
[6,5,1,3,2,7,4] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,1,3,4,2,7] => [1,4,2] => [4,2,1] => 3
[6,5,1,3,4,7,2] => [1,4,2] => [4,2,1] => 3
[6,5,1,3,7,2,4] => [1,3,3] => [3,3,1] => 3
[6,5,1,3,7,4,2] => [1,3,2,1] => [3,2,1,1] => 4
[6,5,1,4,2,3,7] => [1,3,3] => [3,3,1] => 3
[6,5,1,4,2,7,3] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,1,4,3,2,7] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,1,4,3,7,2] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,1,4,7,2,3] => [1,3,3] => [3,3,1] => 3
[6,5,1,4,7,3,2] => [1,3,2,1] => [3,2,1,1] => 4
[6,5,1,7,2,3,4] => [1,2,4] => [4,2,1] => 3
[6,5,1,7,2,4,3] => [1,2,3,1] => [3,2,1,1] => 4
[6,5,1,7,3,2,4] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,1,7,3,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[6,5,1,7,4,2,3] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,1,7,4,3,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[6,5,2,1,3,4,7] => [1,2,4] => [4,2,1] => 3
[6,5,2,1,3,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,2,1,4,3,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,2,1,4,7,3] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,2,1,7,3,4] => [1,2,1,3] => [3,2,1,1] => 4
[6,5,2,1,7,4,3] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[6,5,2,3,1,4,7] => [1,3,3] => [3,3,1] => 3
[6,5,2,3,1,7,4] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,2,3,4,1,7] => [1,4,2] => [4,2,1] => 3
[6,5,2,3,4,7,1] => [1,4,2] => [4,2,1] => 3
[6,5,2,3,7,1,4] => [1,3,3] => [3,3,1] => 3
[6,5,2,3,7,4,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,5,2,4,1,3,7] => [1,3,3] => [3,3,1] => 3
[6,5,2,4,1,7,3] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,2,4,3,1,7] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,2,4,3,7,1] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,2,4,7,1,3] => [1,3,3] => [3,3,1] => 3
[6,5,2,4,7,3,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,5,2,7,1,3,4] => [1,2,4] => [4,2,1] => 3
[6,5,2,7,1,4,3] => [1,2,3,1] => [3,2,1,1] => 4
[6,5,2,7,3,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,2,7,3,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[6,5,2,7,4,1,3] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,2,7,4,3,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[6,5,3,1,2,4,7] => [1,2,4] => [4,2,1] => 3
[6,5,3,1,2,7,4] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,3,1,4,2,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,3,1,4,7,2] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,3,1,7,2,4] => [1,2,1,3] => [3,2,1,1] => 4
[6,5,3,1,7,4,2] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[6,5,3,2,1,4,7] => [1,2,1,3] => [3,2,1,1] => 4
[6,5,3,2,1,7,4] => [1,2,1,1,2] => [2,2,1,1,1] => 5
[6,5,3,2,4,1,7] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,3,2,4,7,1] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,3,2,7,1,4] => [1,2,1,3] => [3,2,1,1] => 4
[6,5,3,2,7,4,1] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[6,5,3,4,1,2,7] => [1,3,3] => [3,3,1] => 3
[6,5,3,4,1,7,2] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,3,4,2,1,7] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,3,4,2,7,1] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,3,4,7,1,2] => [1,3,3] => [3,3,1] => 3
[6,5,3,4,7,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,5,3,7,1,2,4] => [1,2,4] => [4,2,1] => 3
[6,5,3,7,1,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[6,5,3,7,2,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,3,7,2,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[6,5,3,7,4,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[6,5,3,7,4,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[6,5,4,1,2,3,7] => [1,1,5] => [5,1,1] => 3
[6,5,4,1,2,7,3] => [1,1,3,2] => [3,2,1,1] => 4
[6,5,4,1,3,2,7] => [1,1,3,2] => [3,2,1,1] => 4
[6,5,4,1,3,7,2] => [1,1,3,2] => [3,2,1,1] => 4
[6,5,4,1,7,2,3] => [1,1,2,3] => [3,2,1,1] => 4
[6,5,4,1,7,3,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[6,5,4,2,1,3,7] => [1,1,2,3] => [3,2,1,1] => 4
[6,5,4,2,1,7,3] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[6,5,4,2,3,1,7] => [1,1,3,2] => [3,2,1,1] => 4
[6,5,4,2,3,7,1] => [1,1,3,2] => [3,2,1,1] => 4
[6,5,4,2,7,1,3] => [1,1,2,3] => [3,2,1,1] => 4
[6,5,4,2,7,3,1] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[6,5,4,3,1,2,7] => [1,1,2,3] => [3,2,1,1] => 4
[6,5,4,3,1,7,2] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[6,5,4,3,2,1,7] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[6,5,4,3,2,7,1] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[6,5,4,3,7,1,2] => [1,1,2,3] => [3,2,1,1] => 4
[6,5,4,3,7,2,1] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[6,5,4,7,1,2,3] => [1,1,5] => [5,1,1] => 3
[6,5,4,7,1,3,2] => [1,1,4,1] => [4,1,1,1] => 4
[6,5,4,7,2,1,3] => [1,1,3,2] => [3,2,1,1] => 4
[6,5,4,7,2,3,1] => [1,1,4,1] => [4,1,1,1] => 4
[6,5,4,7,3,1,2] => [1,1,3,2] => [3,2,1,1] => 4
[6,5,4,7,3,2,1] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[6,5,7,1,2,3,4] => [1,6] => [6,1] => 2
[6,5,7,1,2,4,3] => [1,5,1] => [5,1,1] => 3
[6,5,7,1,3,2,4] => [1,4,2] => [4,2,1] => 3
[6,5,7,1,3,4,2] => [1,5,1] => [5,1,1] => 3
[6,5,7,1,4,2,3] => [1,4,2] => [4,2,1] => 3
[6,5,7,1,4,3,2] => [1,4,1,1] => [4,1,1,1] => 4
[6,5,7,2,1,3,4] => [1,3,3] => [3,3,1] => 3
[6,5,7,2,1,4,3] => [1,3,2,1] => [3,2,1,1] => 4
[6,5,7,2,3,1,4] => [1,4,2] => [4,2,1] => 3
[6,5,7,2,3,4,1] => [1,5,1] => [5,1,1] => 3
[6,5,7,2,4,1,3] => [1,4,2] => [4,2,1] => 3
[6,5,7,2,4,3,1] => [1,4,1,1] => [4,1,1,1] => 4
[6,5,7,3,1,2,4] => [1,3,3] => [3,3,1] => 3
[6,5,7,3,1,4,2] => [1,3,2,1] => [3,2,1,1] => 4
[6,5,7,3,2,1,4] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,7,3,2,4,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,5,7,3,4,1,2] => [1,4,2] => [4,2,1] => 3
[6,5,7,3,4,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[6,5,7,4,1,2,3] => [1,3,3] => [3,3,1] => 3
[6,5,7,4,1,3,2] => [1,3,2,1] => [3,2,1,1] => 4
[6,5,7,4,2,1,3] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,7,4,2,3,1] => [1,3,2,1] => [3,2,1,1] => 4
[6,5,7,4,3,1,2] => [1,3,1,2] => [3,2,1,1] => 4
[6,5,7,4,3,2,1] => [1,3,1,1,1] => [3,1,1,1,1] => 5
[6,7,1,2,3,4,5] => [7] => [7] => 1
[6,7,1,2,3,5,4] => [6,1] => [6,1] => 2
[6,7,1,2,4,3,5] => [5,2] => [5,2] => 2
[6,7,1,2,4,5,3] => [6,1] => [6,1] => 2
[6,7,1,2,5,3,4] => [5,2] => [5,2] => 2
[6,7,1,2,5,4,3] => [5,1,1] => [5,1,1] => 3
[6,7,1,3,2,4,5] => [4,3] => [4,3] => 2
[6,7,1,3,2,5,4] => [4,2,1] => [4,2,1] => 3
[6,7,1,3,4,2,5] => [5,2] => [5,2] => 2
[6,7,1,3,4,5,2] => [6,1] => [6,1] => 2
[6,7,1,3,5,2,4] => [5,2] => [5,2] => 2
[6,7,1,3,5,4,2] => [5,1,1] => [5,1,1] => 3
[6,7,1,4,2,3,5] => [4,3] => [4,3] => 2
[6,7,1,4,2,5,3] => [4,2,1] => [4,2,1] => 3
[6,7,1,4,3,2,5] => [4,1,2] => [4,2,1] => 3
[6,7,1,4,3,5,2] => [4,2,1] => [4,2,1] => 3
[6,7,1,4,5,2,3] => [5,2] => [5,2] => 2
[6,7,1,4,5,3,2] => [5,1,1] => [5,1,1] => 3
[6,7,1,5,2,3,4] => [3,4] => [4,3] => 2
[6,7,1,5,2,4,3] => [3,3,1] => [3,3,1] => 3
[6,7,1,5,3,2,4] => [3,2,2] => [3,2,2] => 3
[6,7,1,5,3,4,2] => [3,3,1] => [3,3,1] => 3
[6,7,1,5,4,2,3] => [3,2,2] => [3,2,2] => 3
[6,7,1,5,4,3,2] => [3,2,1,1] => [3,2,1,1] => 4
[6,7,2,1,3,4,5] => [3,4] => [4,3] => 2
[6,7,2,1,3,5,4] => [3,3,1] => [3,3,1] => 3
[6,7,2,1,4,3,5] => [3,2,2] => [3,2,2] => 3
[6,7,2,1,4,5,3] => [3,3,1] => [3,3,1] => 3
[6,7,2,1,5,3,4] => [3,2,2] => [3,2,2] => 3
[6,7,2,1,5,4,3] => [3,2,1,1] => [3,2,1,1] => 4
[6,7,2,3,1,4,5] => [4,3] => [4,3] => 2
[6,7,2,3,1,5,4] => [4,2,1] => [4,2,1] => 3
[6,7,2,3,4,1,5] => [5,2] => [5,2] => 2
[6,7,2,3,4,5,1] => [6,1] => [6,1] => 2
[6,7,2,3,5,1,4] => [5,2] => [5,2] => 2
[6,7,2,3,5,4,1] => [5,1,1] => [5,1,1] => 3
[6,7,2,4,1,3,5] => [4,3] => [4,3] => 2
[6,7,2,4,1,5,3] => [4,2,1] => [4,2,1] => 3
[6,7,2,4,3,1,5] => [4,1,2] => [4,2,1] => 3
[6,7,2,4,3,5,1] => [4,2,1] => [4,2,1] => 3
[6,7,2,4,5,1,3] => [5,2] => [5,2] => 2
[6,7,2,4,5,3,1] => [5,1,1] => [5,1,1] => 3
[6,7,2,5,1,3,4] => [3,4] => [4,3] => 2
[6,7,2,5,1,4,3] => [3,3,1] => [3,3,1] => 3
[6,7,2,5,3,1,4] => [3,2,2] => [3,2,2] => 3
[6,7,2,5,3,4,1] => [3,3,1] => [3,3,1] => 3
[6,7,2,5,4,1,3] => [3,2,2] => [3,2,2] => 3
[6,7,2,5,4,3,1] => [3,2,1,1] => [3,2,1,1] => 4
[6,7,3,1,2,4,5] => [3,4] => [4,3] => 2
[6,7,3,1,2,5,4] => [3,3,1] => [3,3,1] => 3
[6,7,3,1,4,2,5] => [3,2,2] => [3,2,2] => 3
[6,7,3,1,4,5,2] => [3,3,1] => [3,3,1] => 3
[6,7,3,1,5,2,4] => [3,2,2] => [3,2,2] => 3
[6,7,3,1,5,4,2] => [3,2,1,1] => [3,2,1,1] => 4
[6,7,3,2,1,4,5] => [3,1,3] => [3,3,1] => 3
[6,7,3,2,1,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[6,7,3,2,4,1,5] => [3,2,2] => [3,2,2] => 3
[6,7,3,2,4,5,1] => [3,3,1] => [3,3,1] => 3
[6,7,3,2,5,1,4] => [3,2,2] => [3,2,2] => 3
[6,7,3,2,5,4,1] => [3,2,1,1] => [3,2,1,1] => 4
[6,7,3,4,1,2,5] => [4,3] => [4,3] => 2
[6,7,3,4,1,5,2] => [4,2,1] => [4,2,1] => 3
[6,7,3,4,2,1,5] => [4,1,2] => [4,2,1] => 3
[6,7,3,4,2,5,1] => [4,2,1] => [4,2,1] => 3
[6,7,3,4,5,1,2] => [5,2] => [5,2] => 2
[6,7,3,4,5,2,1] => [5,1,1] => [5,1,1] => 3
[6,7,3,5,1,2,4] => [3,4] => [4,3] => 2
[6,7,3,5,1,4,2] => [3,3,1] => [3,3,1] => 3
[6,7,3,5,2,1,4] => [3,2,2] => [3,2,2] => 3
[6,7,3,5,2,4,1] => [3,3,1] => [3,3,1] => 3
[6,7,3,5,4,1,2] => [3,2,2] => [3,2,2] => 3
[6,7,3,5,4,2,1] => [3,2,1,1] => [3,2,1,1] => 4
[6,7,4,1,2,3,5] => [2,5] => [5,2] => 2
[6,7,4,1,2,5,3] => [2,4,1] => [4,2,1] => 3
[6,7,4,1,3,2,5] => [2,3,2] => [3,2,2] => 3
[6,7,4,1,3,5,2] => [2,4,1] => [4,2,1] => 3
[6,7,4,1,5,2,3] => [2,3,2] => [3,2,2] => 3
[6,7,4,1,5,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[6,7,4,2,1,3,5] => [2,2,3] => [3,2,2] => 3
[6,7,4,2,1,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[6,7,4,2,3,1,5] => [2,3,2] => [3,2,2] => 3
[6,7,4,2,3,5,1] => [2,4,1] => [4,2,1] => 3
[6,7,4,2,5,1,3] => [2,3,2] => [3,2,2] => 3
[6,7,4,2,5,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[6,7,4,3,1,2,5] => [2,2,3] => [3,2,2] => 3
[6,7,4,3,1,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[6,7,4,3,2,1,5] => [2,2,1,2] => [2,2,2,1] => 4
[6,7,4,3,2,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[6,7,4,3,5,1,2] => [2,3,2] => [3,2,2] => 3
[6,7,4,3,5,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[6,7,4,5,1,2,3] => [2,5] => [5,2] => 2
[6,7,4,5,1,3,2] => [2,4,1] => [4,2,1] => 3
[6,7,4,5,2,1,3] => [2,3,2] => [3,2,2] => 3
[6,7,4,5,2,3,1] => [2,4,1] => [4,2,1] => 3
[6,7,4,5,3,1,2] => [2,3,2] => [3,2,2] => 3
[6,7,4,5,3,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[6,7,5,1,2,3,4] => [2,5] => [5,2] => 2
[6,7,5,1,2,4,3] => [2,4,1] => [4,2,1] => 3
[6,7,5,1,3,2,4] => [2,3,2] => [3,2,2] => 3
[6,7,5,1,3,4,2] => [2,4,1] => [4,2,1] => 3
[6,7,5,1,4,2,3] => [2,3,2] => [3,2,2] => 3
[6,7,5,1,4,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[6,7,5,2,1,3,4] => [2,2,3] => [3,2,2] => 3
[6,7,5,2,1,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[6,7,5,2,3,1,4] => [2,3,2] => [3,2,2] => 3
[6,7,5,2,3,4,1] => [2,4,1] => [4,2,1] => 3
[6,7,5,2,4,1,3] => [2,3,2] => [3,2,2] => 3
[6,7,5,2,4,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[6,7,5,3,1,2,4] => [2,2,3] => [3,2,2] => 3
[6,7,5,3,1,4,2] => [2,2,2,1] => [2,2,2,1] => 4
[6,7,5,3,2,1,4] => [2,2,1,2] => [2,2,2,1] => 4
[6,7,5,3,2,4,1] => [2,2,2,1] => [2,2,2,1] => 4
[6,7,5,3,4,1,2] => [2,3,2] => [3,2,2] => 3
[6,7,5,3,4,2,1] => [2,3,1,1] => [3,2,1,1] => 4
[6,7,5,4,1,2,3] => [2,2,3] => [3,2,2] => 3
[6,7,5,4,1,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[6,7,5,4,2,1,3] => [2,2,1,2] => [2,2,2,1] => 4
[6,7,5,4,2,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[6,7,5,4,3,1,2] => [2,2,1,2] => [2,2,2,1] => 4
[6,7,5,4,3,2,1] => [2,2,1,1,1] => [2,2,1,1,1] => 5
[7,1,2,3,4,5,6] => [7] => [7] => 1
[7,1,2,3,4,6,5] => [6,1] => [6,1] => 2
[7,1,2,3,5,4,6] => [5,2] => [5,2] => 2
[7,1,2,3,5,6,4] => [6,1] => [6,1] => 2
[7,1,2,3,6,4,5] => [4,3] => [4,3] => 2
[7,1,2,3,6,5,4] => [4,2,1] => [4,2,1] => 3
[7,1,2,4,3,5,6] => [4,3] => [4,3] => 2
[7,1,2,4,3,6,5] => [4,2,1] => [4,2,1] => 3
[7,1,2,4,5,3,6] => [5,2] => [5,2] => 2
[7,1,2,4,5,6,3] => [6,1] => [6,1] => 2
[7,1,2,4,6,3,5] => [4,3] => [4,3] => 2
[7,1,2,4,6,5,3] => [4,2,1] => [4,2,1] => 3
[7,1,2,5,3,4,6] => [3,4] => [4,3] => 2
[7,1,2,5,3,6,4] => [3,3,1] => [3,3,1] => 3
[7,1,2,5,4,3,6] => [3,2,2] => [3,2,2] => 3
[7,1,2,5,4,6,3] => [3,3,1] => [3,3,1] => 3
[7,1,2,5,6,3,4] => [3,4] => [4,3] => 2
[7,1,2,5,6,4,3] => [3,3,1] => [3,3,1] => 3
[7,1,2,6,3,4,5] => [3,4] => [4,3] => 2
[7,1,2,6,3,5,4] => [3,3,1] => [3,3,1] => 3
[7,1,2,6,4,3,5] => [3,2,2] => [3,2,2] => 3
[7,1,2,6,4,5,3] => [3,3,1] => [3,3,1] => 3
[7,1,2,6,5,3,4] => [3,2,2] => [3,2,2] => 3
[7,1,2,6,5,4,3] => [3,2,1,1] => [3,2,1,1] => 4
[7,1,3,2,4,5,6] => [3,4] => [4,3] => 2
[7,1,3,2,4,6,5] => [3,3,1] => [3,3,1] => 3
[7,1,3,2,5,4,6] => [3,2,2] => [3,2,2] => 3
[7,1,3,2,5,6,4] => [3,3,1] => [3,3,1] => 3
[7,1,3,2,6,4,5] => [3,1,3] => [3,3,1] => 3
[7,1,3,2,6,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[7,1,3,4,2,5,6] => [4,3] => [4,3] => 2
[7,1,3,4,2,6,5] => [4,2,1] => [4,2,1] => 3
[7,1,3,4,5,2,6] => [5,2] => [5,2] => 2
[7,1,3,4,5,6,2] => [6,1] => [6,1] => 2
[7,1,3,4,6,2,5] => [4,3] => [4,3] => 2
[7,1,3,4,6,5,2] => [4,2,1] => [4,2,1] => 3
[7,1,3,5,2,4,6] => [3,4] => [4,3] => 2
[7,1,3,5,2,6,4] => [3,3,1] => [3,3,1] => 3
[7,1,3,5,4,2,6] => [3,2,2] => [3,2,2] => 3
[7,1,3,5,4,6,2] => [3,3,1] => [3,3,1] => 3
[7,1,3,5,6,2,4] => [3,4] => [4,3] => 2
[7,1,3,5,6,4,2] => [3,3,1] => [3,3,1] => 3
[7,1,3,6,2,4,5] => [3,4] => [4,3] => 2
[7,1,3,6,2,5,4] => [3,3,1] => [3,3,1] => 3
[7,1,3,6,4,2,5] => [3,2,2] => [3,2,2] => 3
[7,1,3,6,4,5,2] => [3,3,1] => [3,3,1] => 3
[7,1,3,6,5,2,4] => [3,2,2] => [3,2,2] => 3
[7,1,3,6,5,4,2] => [3,2,1,1] => [3,2,1,1] => 4
[7,1,4,2,3,5,6] => [2,5] => [5,2] => 2
[7,1,4,2,3,6,5] => [2,4,1] => [4,2,1] => 3
[7,1,4,2,5,3,6] => [2,3,2] => [3,2,2] => 3
[7,1,4,2,5,6,3] => [2,4,1] => [4,2,1] => 3
[7,1,4,2,6,3,5] => [2,2,3] => [3,2,2] => 3
[7,1,4,2,6,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,4,3,2,5,6] => [2,2,3] => [3,2,2] => 3
[7,1,4,3,2,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,4,3,5,2,6] => [2,3,2] => [3,2,2] => 3
[7,1,4,3,5,6,2] => [2,4,1] => [4,2,1] => 3
[7,1,4,3,6,2,5] => [2,2,3] => [3,2,2] => 3
[7,1,4,3,6,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,4,5,2,3,6] => [2,5] => [5,2] => 2
[7,1,4,5,2,6,3] => [2,4,1] => [4,2,1] => 3
[7,1,4,5,3,2,6] => [2,3,2] => [3,2,2] => 3
[7,1,4,5,3,6,2] => [2,4,1] => [4,2,1] => 3
[7,1,4,5,6,2,3] => [2,5] => [5,2] => 2
[7,1,4,5,6,3,2] => [2,4,1] => [4,2,1] => 3
[7,1,4,6,2,3,5] => [2,5] => [5,2] => 2
[7,1,4,6,2,5,3] => [2,4,1] => [4,2,1] => 3
[7,1,4,6,3,2,5] => [2,3,2] => [3,2,2] => 3
[7,1,4,6,3,5,2] => [2,4,1] => [4,2,1] => 3
[7,1,4,6,5,2,3] => [2,3,2] => [3,2,2] => 3
[7,1,4,6,5,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[7,1,5,2,3,4,6] => [2,5] => [5,2] => 2
[7,1,5,2,3,6,4] => [2,4,1] => [4,2,1] => 3
[7,1,5,2,4,3,6] => [2,3,2] => [3,2,2] => 3
[7,1,5,2,4,6,3] => [2,4,1] => [4,2,1] => 3
[7,1,5,2,6,3,4] => [2,2,3] => [3,2,2] => 3
[7,1,5,2,6,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,5,3,2,4,6] => [2,2,3] => [3,2,2] => 3
[7,1,5,3,2,6,4] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,5,3,4,2,6] => [2,3,2] => [3,2,2] => 3
[7,1,5,3,4,6,2] => [2,4,1] => [4,2,1] => 3
[7,1,5,3,6,2,4] => [2,2,3] => [3,2,2] => 3
[7,1,5,3,6,4,2] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,5,4,2,3,6] => [2,2,3] => [3,2,2] => 3
[7,1,5,4,2,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,5,4,3,2,6] => [2,2,1,2] => [2,2,2,1] => 4
[7,1,5,4,3,6,2] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,5,4,6,2,3] => [2,2,3] => [3,2,2] => 3
[7,1,5,4,6,3,2] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,5,6,2,3,4] => [2,5] => [5,2] => 2
[7,1,5,6,2,4,3] => [2,4,1] => [4,2,1] => 3
[7,1,5,6,3,2,4] => [2,3,2] => [3,2,2] => 3
[7,1,5,6,3,4,2] => [2,4,1] => [4,2,1] => 3
[7,1,5,6,4,2,3] => [2,3,2] => [3,2,2] => 3
[7,1,5,6,4,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[7,1,6,2,3,4,5] => [2,5] => [5,2] => 2
[7,1,6,2,3,5,4] => [2,4,1] => [4,2,1] => 3
[7,1,6,2,4,3,5] => [2,3,2] => [3,2,2] => 3
[7,1,6,2,4,5,3] => [2,4,1] => [4,2,1] => 3
[7,1,6,2,5,3,4] => [2,3,2] => [3,2,2] => 3
[7,1,6,2,5,4,3] => [2,3,1,1] => [3,2,1,1] => 4
[7,1,6,3,2,4,5] => [2,2,3] => [3,2,2] => 3
[7,1,6,3,2,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,6,3,4,2,5] => [2,3,2] => [3,2,2] => 3
[7,1,6,3,4,5,2] => [2,4,1] => [4,2,1] => 3
[7,1,6,3,5,2,4] => [2,3,2] => [3,2,2] => 3
[7,1,6,3,5,4,2] => [2,3,1,1] => [3,2,1,1] => 4
[7,1,6,4,2,3,5] => [2,2,3] => [3,2,2] => 3
[7,1,6,4,2,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,6,4,3,2,5] => [2,2,1,2] => [2,2,2,1] => 4
[7,1,6,4,3,5,2] => [2,2,2,1] => [2,2,2,1] => 4
[7,1,6,4,5,2,3] => [2,3,2] => [3,2,2] => 3
[7,1,6,4,5,3,2] => [2,3,1,1] => [3,2,1,1] => 4
[7,1,6,5,2,3,4] => [2,1,4] => [4,2,1] => 3
[7,1,6,5,2,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[7,1,6,5,3,2,4] => [2,1,2,2] => [2,2,2,1] => 4
[7,1,6,5,3,4,2] => [2,1,3,1] => [3,2,1,1] => 4
[7,1,6,5,4,2,3] => [2,1,2,2] => [2,2,2,1] => 4
[7,1,6,5,4,3,2] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[7,2,1,3,4,5,6] => [2,5] => [5,2] => 2
[7,2,1,3,4,6,5] => [2,4,1] => [4,2,1] => 3
[7,2,1,3,5,4,6] => [2,3,2] => [3,2,2] => 3
[7,2,1,3,5,6,4] => [2,4,1] => [4,2,1] => 3
[7,2,1,3,6,4,5] => [2,2,3] => [3,2,2] => 3
[7,2,1,3,6,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,1,4,3,5,6] => [2,2,3] => [3,2,2] => 3
[7,2,1,4,3,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,1,4,5,3,6] => [2,3,2] => [3,2,2] => 3
[7,2,1,4,5,6,3] => [2,4,1] => [4,2,1] => 3
[7,2,1,4,6,3,5] => [2,2,3] => [3,2,2] => 3
[7,2,1,4,6,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,1,5,3,4,6] => [2,1,4] => [4,2,1] => 3
[7,2,1,5,3,6,4] => [2,1,3,1] => [3,2,1,1] => 4
[7,2,1,5,4,3,6] => [2,1,2,2] => [2,2,2,1] => 4
[7,2,1,5,4,6,3] => [2,1,3,1] => [3,2,1,1] => 4
[7,2,1,5,6,3,4] => [2,1,4] => [4,2,1] => 3
[7,2,1,5,6,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[7,2,1,6,3,4,5] => [2,1,4] => [4,2,1] => 3
[7,2,1,6,3,5,4] => [2,1,3,1] => [3,2,1,1] => 4
[7,2,1,6,4,3,5] => [2,1,2,2] => [2,2,2,1] => 4
[7,2,1,6,4,5,3] => [2,1,3,1] => [3,2,1,1] => 4
[7,2,1,6,5,3,4] => [2,1,2,2] => [2,2,2,1] => 4
[7,2,1,6,5,4,3] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[7,2,3,1,4,5,6] => [3,4] => [4,3] => 2
[7,2,3,1,4,6,5] => [3,3,1] => [3,3,1] => 3
[7,2,3,1,5,4,6] => [3,2,2] => [3,2,2] => 3
[7,2,3,1,5,6,4] => [3,3,1] => [3,3,1] => 3
[7,2,3,1,6,4,5] => [3,1,3] => [3,3,1] => 3
[7,2,3,1,6,5,4] => [3,1,2,1] => [3,2,1,1] => 4
[7,2,3,4,1,5,6] => [4,3] => [4,3] => 2
[7,2,3,4,1,6,5] => [4,2,1] => [4,2,1] => 3
[7,2,3,4,5,1,6] => [5,2] => [5,2] => 2
[7,2,3,4,5,6,1] => [6,1] => [6,1] => 2
[7,2,3,4,6,1,5] => [4,3] => [4,3] => 2
[7,2,3,4,6,5,1] => [4,2,1] => [4,2,1] => 3
[7,2,3,5,1,4,6] => [3,4] => [4,3] => 2
[7,2,3,5,1,6,4] => [3,3,1] => [3,3,1] => 3
[7,2,3,5,4,1,6] => [3,2,2] => [3,2,2] => 3
[7,2,3,5,4,6,1] => [3,3,1] => [3,3,1] => 3
[7,2,3,5,6,1,4] => [3,4] => [4,3] => 2
[7,2,3,5,6,4,1] => [3,3,1] => [3,3,1] => 3
[7,2,3,6,1,4,5] => [3,4] => [4,3] => 2
[7,2,3,6,1,5,4] => [3,3,1] => [3,3,1] => 3
[7,2,3,6,4,1,5] => [3,2,2] => [3,2,2] => 3
[7,2,3,6,4,5,1] => [3,3,1] => [3,3,1] => 3
[7,2,3,6,5,1,4] => [3,2,2] => [3,2,2] => 3
[7,2,3,6,5,4,1] => [3,2,1,1] => [3,2,1,1] => 4
[7,2,4,1,3,5,6] => [2,5] => [5,2] => 2
[7,2,4,1,3,6,5] => [2,4,1] => [4,2,1] => 3
[7,2,4,1,5,3,6] => [2,3,2] => [3,2,2] => 3
[7,2,4,1,5,6,3] => [2,4,1] => [4,2,1] => 3
[7,2,4,1,6,3,5] => [2,2,3] => [3,2,2] => 3
[7,2,4,1,6,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,4,3,1,5,6] => [2,2,3] => [3,2,2] => 3
[7,2,4,3,1,6,5] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,4,3,5,1,6] => [2,3,2] => [3,2,2] => 3
[7,2,4,3,5,6,1] => [2,4,1] => [4,2,1] => 3
[7,2,4,3,6,1,5] => [2,2,3] => [3,2,2] => 3
[7,2,4,3,6,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,4,5,1,3,6] => [2,5] => [5,2] => 2
[7,2,4,5,1,6,3] => [2,4,1] => [4,2,1] => 3
[7,2,4,5,3,1,6] => [2,3,2] => [3,2,2] => 3
[7,2,4,5,3,6,1] => [2,4,1] => [4,2,1] => 3
[7,2,4,5,6,1,3] => [2,5] => [5,2] => 2
[7,2,4,5,6,3,1] => [2,4,1] => [4,2,1] => 3
[7,2,4,6,1,3,5] => [2,5] => [5,2] => 2
[7,2,4,6,1,5,3] => [2,4,1] => [4,2,1] => 3
[7,2,4,6,3,1,5] => [2,3,2] => [3,2,2] => 3
[7,2,4,6,3,5,1] => [2,4,1] => [4,2,1] => 3
[7,2,4,6,5,1,3] => [2,3,2] => [3,2,2] => 3
[7,2,4,6,5,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[7,2,5,1,3,4,6] => [2,5] => [5,2] => 2
[7,2,5,1,3,6,4] => [2,4,1] => [4,2,1] => 3
[7,2,5,1,4,3,6] => [2,3,2] => [3,2,2] => 3
[7,2,5,1,4,6,3] => [2,4,1] => [4,2,1] => 3
[7,2,5,1,6,3,4] => [2,2,3] => [3,2,2] => 3
[7,2,5,1,6,4,3] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,5,3,1,4,6] => [2,2,3] => [3,2,2] => 3
[7,2,5,3,1,6,4] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,5,3,4,1,6] => [2,3,2] => [3,2,2] => 3
[7,2,5,3,4,6,1] => [2,4,1] => [4,2,1] => 3
[7,2,5,3,6,1,4] => [2,2,3] => [3,2,2] => 3
[7,2,5,3,6,4,1] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,5,4,1,3,6] => [2,2,3] => [3,2,2] => 3
[7,2,5,4,1,6,3] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,5,4,3,1,6] => [2,2,1,2] => [2,2,2,1] => 4
[7,2,5,4,3,6,1] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,5,4,6,1,3] => [2,2,3] => [3,2,2] => 3
[7,2,5,4,6,3,1] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,5,6,1,3,4] => [2,5] => [5,2] => 2
[7,2,5,6,1,4,3] => [2,4,1] => [4,2,1] => 3
[7,2,5,6,3,1,4] => [2,3,2] => [3,2,2] => 3
[7,2,5,6,3,4,1] => [2,4,1] => [4,2,1] => 3
[7,2,5,6,4,1,3] => [2,3,2] => [3,2,2] => 3
[7,2,5,6,4,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[7,2,6,1,3,4,5] => [2,5] => [5,2] => 2
[7,2,6,1,3,5,4] => [2,4,1] => [4,2,1] => 3
[7,2,6,1,4,3,5] => [2,3,2] => [3,2,2] => 3
[7,2,6,1,4,5,3] => [2,4,1] => [4,2,1] => 3
[7,2,6,1,5,3,4] => [2,3,2] => [3,2,2] => 3
[7,2,6,1,5,4,3] => [2,3,1,1] => [3,2,1,1] => 4
[7,2,6,3,1,4,5] => [2,2,3] => [3,2,2] => 3
[7,2,6,3,1,5,4] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,6,3,4,1,5] => [2,3,2] => [3,2,2] => 3
[7,2,6,3,4,5,1] => [2,4,1] => [4,2,1] => 3
[7,2,6,3,5,1,4] => [2,3,2] => [3,2,2] => 3
[7,2,6,3,5,4,1] => [2,3,1,1] => [3,2,1,1] => 4
[7,2,6,4,1,3,5] => [2,2,3] => [3,2,2] => 3
[7,2,6,4,1,5,3] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,6,4,3,1,5] => [2,2,1,2] => [2,2,2,1] => 4
[7,2,6,4,3,5,1] => [2,2,2,1] => [2,2,2,1] => 4
[7,2,6,4,5,1,3] => [2,3,2] => [3,2,2] => 3
[7,2,6,4,5,3,1] => [2,3,1,1] => [3,2,1,1] => 4
[7,2,6,5,1,3,4] => [2,1,4] => [4,2,1] => 3
[7,2,6,5,1,4,3] => [2,1,3,1] => [3,2,1,1] => 4
[7,2,6,5,3,1,4] => [2,1,2,2] => [2,2,2,1] => 4
[7,2,6,5,3,4,1] => [2,1,3,1] => [3,2,1,1] => 4
[7,2,6,5,4,1,3] => [2,1,2,2] => [2,2,2,1] => 4
[7,2,6,5,4,3,1] => [2,1,2,1,1] => [2,2,1,1,1] => 5
[7,3,1,2,4,5,6] => [1,6] => [6,1] => 2
[7,3,1,2,4,6,5] => [1,5,1] => [5,1,1] => 3
[7,3,1,2,5,4,6] => [1,4,2] => [4,2,1] => 3
[7,3,1,2,5,6,4] => [1,5,1] => [5,1,1] => 3
[7,3,1,2,6,4,5] => [1,3,3] => [3,3,1] => 3
[7,3,1,2,6,5,4] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,1,4,2,5,6] => [1,3,3] => [3,3,1] => 3
[7,3,1,4,2,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,1,4,5,2,6] => [1,4,2] => [4,2,1] => 3
[7,3,1,4,5,6,2] => [1,5,1] => [5,1,1] => 3
[7,3,1,4,6,2,5] => [1,3,3] => [3,3,1] => 3
[7,3,1,4,6,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,1,5,2,4,6] => [1,2,4] => [4,2,1] => 3
[7,3,1,5,2,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,1,5,4,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,3,1,5,4,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,1,5,6,2,4] => [1,2,4] => [4,2,1] => 3
[7,3,1,5,6,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,1,6,2,4,5] => [1,2,4] => [4,2,1] => 3
[7,3,1,6,2,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,1,6,4,2,5] => [1,2,2,2] => [2,2,2,1] => 4
[7,3,1,6,4,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,1,6,5,2,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,3,1,6,5,4,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,3,2,1,4,5,6] => [1,2,4] => [4,2,1] => 3
[7,3,2,1,4,6,5] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,2,1,5,4,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,3,2,1,5,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,2,1,6,4,5] => [1,2,1,3] => [3,2,1,1] => 4
[7,3,2,1,6,5,4] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[7,3,2,4,1,5,6] => [1,3,3] => [3,3,1] => 3
[7,3,2,4,1,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,2,4,5,1,6] => [1,4,2] => [4,2,1] => 3
[7,3,2,4,5,6,1] => [1,5,1] => [5,1,1] => 3
[7,3,2,4,6,1,5] => [1,3,3] => [3,3,1] => 3
[7,3,2,4,6,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,2,5,1,4,6] => [1,2,4] => [4,2,1] => 3
[7,3,2,5,1,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,2,5,4,1,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,3,2,5,4,6,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,2,5,6,1,4] => [1,2,4] => [4,2,1] => 3
[7,3,2,5,6,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,2,6,1,4,5] => [1,2,4] => [4,2,1] => 3
[7,3,2,6,1,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,2,6,4,1,5] => [1,2,2,2] => [2,2,2,1] => 4
[7,3,2,6,4,5,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,2,6,5,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,3,2,6,5,4,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,3,4,1,2,5,6] => [1,6] => [6,1] => 2
[7,3,4,1,2,6,5] => [1,5,1] => [5,1,1] => 3
[7,3,4,1,5,2,6] => [1,4,2] => [4,2,1] => 3
[7,3,4,1,5,6,2] => [1,5,1] => [5,1,1] => 3
[7,3,4,1,6,2,5] => [1,3,3] => [3,3,1] => 3
[7,3,4,1,6,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,4,2,1,5,6] => [1,3,3] => [3,3,1] => 3
[7,3,4,2,1,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,4,2,5,1,6] => [1,4,2] => [4,2,1] => 3
[7,3,4,2,5,6,1] => [1,5,1] => [5,1,1] => 3
[7,3,4,2,6,1,5] => [1,3,3] => [3,3,1] => 3
[7,3,4,2,6,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,4,5,1,2,6] => [1,6] => [6,1] => 2
[7,3,4,5,1,6,2] => [1,5,1] => [5,1,1] => 3
[7,3,4,5,2,1,6] => [1,4,2] => [4,2,1] => 3
[7,3,4,5,2,6,1] => [1,5,1] => [5,1,1] => 3
[7,3,4,5,6,1,2] => [1,6] => [6,1] => 2
[7,3,4,5,6,2,1] => [1,5,1] => [5,1,1] => 3
[7,3,4,6,1,2,5] => [1,6] => [6,1] => 2
[7,3,4,6,1,5,2] => [1,5,1] => [5,1,1] => 3
[7,3,4,6,2,1,5] => [1,4,2] => [4,2,1] => 3
[7,3,4,6,2,5,1] => [1,5,1] => [5,1,1] => 3
[7,3,4,6,5,1,2] => [1,4,2] => [4,2,1] => 3
[7,3,4,6,5,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,3,5,1,2,4,6] => [1,6] => [6,1] => 2
[7,3,5,1,2,6,4] => [1,5,1] => [5,1,1] => 3
[7,3,5,1,4,2,6] => [1,4,2] => [4,2,1] => 3
[7,3,5,1,4,6,2] => [1,5,1] => [5,1,1] => 3
[7,3,5,1,6,2,4] => [1,3,3] => [3,3,1] => 3
[7,3,5,1,6,4,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,5,2,1,4,6] => [1,3,3] => [3,3,1] => 3
[7,3,5,2,1,6,4] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,5,2,4,1,6] => [1,4,2] => [4,2,1] => 3
[7,3,5,2,4,6,1] => [1,5,1] => [5,1,1] => 3
[7,3,5,2,6,1,4] => [1,3,3] => [3,3,1] => 3
[7,3,5,2,6,4,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,5,4,1,2,6] => [1,3,3] => [3,3,1] => 3
[7,3,5,4,1,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,5,4,2,1,6] => [1,3,1,2] => [3,2,1,1] => 4
[7,3,5,4,2,6,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,5,4,6,1,2] => [1,3,3] => [3,3,1] => 3
[7,3,5,4,6,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,5,6,1,2,4] => [1,6] => [6,1] => 2
[7,3,5,6,1,4,2] => [1,5,1] => [5,1,1] => 3
[7,3,5,6,2,1,4] => [1,4,2] => [4,2,1] => 3
[7,3,5,6,2,4,1] => [1,5,1] => [5,1,1] => 3
[7,3,5,6,4,1,2] => [1,4,2] => [4,2,1] => 3
[7,3,5,6,4,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,3,6,1,2,4,5] => [1,6] => [6,1] => 2
[7,3,6,1,2,5,4] => [1,5,1] => [5,1,1] => 3
[7,3,6,1,4,2,5] => [1,4,2] => [4,2,1] => 3
[7,3,6,1,4,5,2] => [1,5,1] => [5,1,1] => 3
[7,3,6,1,5,2,4] => [1,4,2] => [4,2,1] => 3
[7,3,6,1,5,4,2] => [1,4,1,1] => [4,1,1,1] => 4
[7,3,6,2,1,4,5] => [1,3,3] => [3,3,1] => 3
[7,3,6,2,1,5,4] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,6,2,4,1,5] => [1,4,2] => [4,2,1] => 3
[7,3,6,2,4,5,1] => [1,5,1] => [5,1,1] => 3
[7,3,6,2,5,1,4] => [1,4,2] => [4,2,1] => 3
[7,3,6,2,5,4,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,3,6,4,1,2,5] => [1,3,3] => [3,3,1] => 3
[7,3,6,4,1,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,6,4,2,1,5] => [1,3,1,2] => [3,2,1,1] => 4
[7,3,6,4,2,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,3,6,4,5,1,2] => [1,4,2] => [4,2,1] => 3
[7,3,6,4,5,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,3,6,5,1,2,4] => [1,2,4] => [4,2,1] => 3
[7,3,6,5,1,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,6,5,2,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,3,6,5,2,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,3,6,5,4,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[7,3,6,5,4,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,4,1,2,3,5,6] => [1,6] => [6,1] => 2
[7,4,1,2,3,6,5] => [1,5,1] => [5,1,1] => 3
[7,4,1,2,5,3,6] => [1,4,2] => [4,2,1] => 3
[7,4,1,2,5,6,3] => [1,5,1] => [5,1,1] => 3
[7,4,1,2,6,3,5] => [1,3,3] => [3,3,1] => 3
[7,4,1,2,6,5,3] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,1,3,2,5,6] => [1,3,3] => [3,3,1] => 3
[7,4,1,3,2,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,1,3,5,2,6] => [1,4,2] => [4,2,1] => 3
[7,4,1,3,5,6,2] => [1,5,1] => [5,1,1] => 3
[7,4,1,3,6,2,5] => [1,3,3] => [3,3,1] => 3
[7,4,1,3,6,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,1,5,2,3,6] => [1,2,4] => [4,2,1] => 3
[7,4,1,5,2,6,3] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,1,5,3,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,1,5,3,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,1,5,6,2,3] => [1,2,4] => [4,2,1] => 3
[7,4,1,5,6,3,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,1,6,2,3,5] => [1,2,4] => [4,2,1] => 3
[7,4,1,6,2,5,3] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,1,6,3,2,5] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,1,6,3,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,1,6,5,2,3] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,1,6,5,3,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,4,2,1,3,5,6] => [1,2,4] => [4,2,1] => 3
[7,4,2,1,3,6,5] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,2,1,5,3,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,2,1,5,6,3] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,2,1,6,3,5] => [1,2,1,3] => [3,2,1,1] => 4
[7,4,2,1,6,5,3] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[7,4,2,3,1,5,6] => [1,3,3] => [3,3,1] => 3
[7,4,2,3,1,6,5] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,2,3,5,1,6] => [1,4,2] => [4,2,1] => 3
[7,4,2,3,5,6,1] => [1,5,1] => [5,1,1] => 3
[7,4,2,3,6,1,5] => [1,3,3] => [3,3,1] => 3
[7,4,2,3,6,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,2,5,1,3,6] => [1,2,4] => [4,2,1] => 3
[7,4,2,5,1,6,3] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,2,5,3,1,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,2,5,3,6,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,2,5,6,1,3] => [1,2,4] => [4,2,1] => 3
[7,4,2,5,6,3,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,2,6,1,3,5] => [1,2,4] => [4,2,1] => 3
[7,4,2,6,1,5,3] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,2,6,3,1,5] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,2,6,3,5,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,2,6,5,1,3] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,2,6,5,3,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,4,3,1,2,5,6] => [1,2,4] => [4,2,1] => 3
[7,4,3,1,2,6,5] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,3,1,5,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,3,1,5,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,3,1,6,2,5] => [1,2,1,3] => [3,2,1,1] => 4
[7,4,3,1,6,5,2] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[7,4,3,2,1,5,6] => [1,2,1,3] => [3,2,1,1] => 4
[7,4,3,2,1,6,5] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[7,4,3,2,5,1,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,3,2,5,6,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,3,2,6,1,5] => [1,2,1,3] => [3,2,1,1] => 4
[7,4,3,2,6,5,1] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[7,4,3,5,1,2,6] => [1,2,4] => [4,2,1] => 3
[7,4,3,5,1,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,3,5,2,1,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,3,5,2,6,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,3,5,6,1,2] => [1,2,4] => [4,2,1] => 3
[7,4,3,5,6,2,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,3,6,1,2,5] => [1,2,4] => [4,2,1] => 3
[7,4,3,6,1,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,3,6,2,1,5] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,3,6,2,5,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,3,6,5,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,3,6,5,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,4,5,1,2,3,6] => [1,6] => [6,1] => 2
[7,4,5,1,2,6,3] => [1,5,1] => [5,1,1] => 3
[7,4,5,1,3,2,6] => [1,4,2] => [4,2,1] => 3
[7,4,5,1,3,6,2] => [1,5,1] => [5,1,1] => 3
[7,4,5,1,6,2,3] => [1,3,3] => [3,3,1] => 3
[7,4,5,1,6,3,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,5,2,1,3,6] => [1,3,3] => [3,3,1] => 3
[7,4,5,2,1,6,3] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,5,2,3,1,6] => [1,4,2] => [4,2,1] => 3
[7,4,5,2,3,6,1] => [1,5,1] => [5,1,1] => 3
[7,4,5,2,6,1,3] => [1,3,3] => [3,3,1] => 3
[7,4,5,2,6,3,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,5,3,1,2,6] => [1,3,3] => [3,3,1] => 3
[7,4,5,3,1,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,5,3,2,1,6] => [1,3,1,2] => [3,2,1,1] => 4
[7,4,5,3,2,6,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,5,3,6,1,2] => [1,3,3] => [3,3,1] => 3
[7,4,5,3,6,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,5,6,1,2,3] => [1,6] => [6,1] => 2
[7,4,5,6,1,3,2] => [1,5,1] => [5,1,1] => 3
[7,4,5,6,2,1,3] => [1,4,2] => [4,2,1] => 3
[7,4,5,6,2,3,1] => [1,5,1] => [5,1,1] => 3
[7,4,5,6,3,1,2] => [1,4,2] => [4,2,1] => 3
[7,4,5,6,3,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,4,6,1,2,3,5] => [1,6] => [6,1] => 2
[7,4,6,1,2,5,3] => [1,5,1] => [5,1,1] => 3
[7,4,6,1,3,2,5] => [1,4,2] => [4,2,1] => 3
[7,4,6,1,3,5,2] => [1,5,1] => [5,1,1] => 3
[7,4,6,1,5,2,3] => [1,4,2] => [4,2,1] => 3
[7,4,6,1,5,3,2] => [1,4,1,1] => [4,1,1,1] => 4
[7,4,6,2,1,3,5] => [1,3,3] => [3,3,1] => 3
[7,4,6,2,1,5,3] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,6,2,3,1,5] => [1,4,2] => [4,2,1] => 3
[7,4,6,2,3,5,1] => [1,5,1] => [5,1,1] => 3
[7,4,6,2,5,1,3] => [1,4,2] => [4,2,1] => 3
[7,4,6,2,5,3,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,4,6,3,1,2,5] => [1,3,3] => [3,3,1] => 3
[7,4,6,3,1,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,6,3,2,1,5] => [1,3,1,2] => [3,2,1,1] => 4
[7,4,6,3,2,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,4,6,3,5,1,2] => [1,4,2] => [4,2,1] => 3
[7,4,6,3,5,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,4,6,5,1,2,3] => [1,2,4] => [4,2,1] => 3
[7,4,6,5,1,3,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,6,5,2,1,3] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,6,5,2,3,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,4,6,5,3,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[7,4,6,5,3,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,5,1,2,3,4,6] => [1,6] => [6,1] => 2
[7,5,1,2,3,6,4] => [1,5,1] => [5,1,1] => 3
[7,5,1,2,4,3,6] => [1,4,2] => [4,2,1] => 3
[7,5,1,2,4,6,3] => [1,5,1] => [5,1,1] => 3
[7,5,1,2,6,3,4] => [1,3,3] => [3,3,1] => 3
[7,5,1,2,6,4,3] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,1,3,2,4,6] => [1,3,3] => [3,3,1] => 3
[7,5,1,3,2,6,4] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,1,3,4,2,6] => [1,4,2] => [4,2,1] => 3
[7,5,1,3,4,6,2] => [1,5,1] => [5,1,1] => 3
[7,5,1,3,6,2,4] => [1,3,3] => [3,3,1] => 3
[7,5,1,3,6,4,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,1,4,2,3,6] => [1,3,3] => [3,3,1] => 3
[7,5,1,4,2,6,3] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,1,4,3,2,6] => [1,3,1,2] => [3,2,1,1] => 4
[7,5,1,4,3,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,1,4,6,2,3] => [1,3,3] => [3,3,1] => 3
[7,5,1,4,6,3,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,1,6,2,3,4] => [1,2,4] => [4,2,1] => 3
[7,5,1,6,2,4,3] => [1,2,3,1] => [3,2,1,1] => 4
[7,5,1,6,3,2,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,5,1,6,3,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,5,1,6,4,2,3] => [1,2,2,2] => [2,2,2,1] => 4
[7,5,1,6,4,3,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,5,2,1,3,4,6] => [1,2,4] => [4,2,1] => 3
[7,5,2,1,3,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[7,5,2,1,4,3,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,5,2,1,4,6,3] => [1,2,3,1] => [3,2,1,1] => 4
[7,5,2,1,6,3,4] => [1,2,1,3] => [3,2,1,1] => 4
[7,5,2,1,6,4,3] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[7,5,2,3,1,4,6] => [1,3,3] => [3,3,1] => 3
[7,5,2,3,1,6,4] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,2,3,4,1,6] => [1,4,2] => [4,2,1] => 3
[7,5,2,3,4,6,1] => [1,5,1] => [5,1,1] => 3
[7,5,2,3,6,1,4] => [1,3,3] => [3,3,1] => 3
[7,5,2,3,6,4,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,2,4,1,3,6] => [1,3,3] => [3,3,1] => 3
[7,5,2,4,1,6,3] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,2,4,3,1,6] => [1,3,1,2] => [3,2,1,1] => 4
[7,5,2,4,3,6,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,2,4,6,1,3] => [1,3,3] => [3,3,1] => 3
[7,5,2,4,6,3,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,2,6,1,3,4] => [1,2,4] => [4,2,1] => 3
[7,5,2,6,1,4,3] => [1,2,3,1] => [3,2,1,1] => 4
[7,5,2,6,3,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,5,2,6,3,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,5,2,6,4,1,3] => [1,2,2,2] => [2,2,2,1] => 4
[7,5,2,6,4,3,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,5,3,1,2,4,6] => [1,2,4] => [4,2,1] => 3
[7,5,3,1,2,6,4] => [1,2,3,1] => [3,2,1,1] => 4
[7,5,3,1,4,2,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,5,3,1,4,6,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,5,3,1,6,2,4] => [1,2,1,3] => [3,2,1,1] => 4
[7,5,3,1,6,4,2] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[7,5,3,2,1,4,6] => [1,2,1,3] => [3,2,1,1] => 4
[7,5,3,2,1,6,4] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[7,5,3,2,4,1,6] => [1,2,2,2] => [2,2,2,1] => 4
[7,5,3,2,4,6,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,5,3,2,6,1,4] => [1,2,1,3] => [3,2,1,1] => 4
[7,5,3,2,6,4,1] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[7,5,3,4,1,2,6] => [1,3,3] => [3,3,1] => 3
[7,5,3,4,1,6,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,3,4,2,1,6] => [1,3,1,2] => [3,2,1,1] => 4
[7,5,3,4,2,6,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,3,4,6,1,2] => [1,3,3] => [3,3,1] => 3
[7,5,3,4,6,2,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,3,6,1,2,4] => [1,2,4] => [4,2,1] => 3
[7,5,3,6,1,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,5,3,6,2,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,5,3,6,2,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,5,3,6,4,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[7,5,3,6,4,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,5,4,1,2,3,6] => [1,1,5] => [5,1,1] => 3
[7,5,4,1,2,6,3] => [1,1,4,1] => [4,1,1,1] => 4
[7,5,4,1,3,2,6] => [1,1,3,2] => [3,2,1,1] => 4
[7,5,4,1,3,6,2] => [1,1,4,1] => [4,1,1,1] => 4
[7,5,4,1,6,2,3] => [1,1,2,3] => [3,2,1,1] => 4
[7,5,4,1,6,3,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,5,4,2,1,3,6] => [1,1,2,3] => [3,2,1,1] => 4
[7,5,4,2,1,6,3] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,5,4,2,3,1,6] => [1,1,3,2] => [3,2,1,1] => 4
[7,5,4,2,3,6,1] => [1,1,4,1] => [4,1,1,1] => 4
[7,5,4,2,6,1,3] => [1,1,2,3] => [3,2,1,1] => 4
[7,5,4,2,6,3,1] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,5,4,3,1,2,6] => [1,1,2,3] => [3,2,1,1] => 4
[7,5,4,3,1,6,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,5,4,3,2,1,6] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[7,5,4,3,2,6,1] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,5,4,3,6,1,2] => [1,1,2,3] => [3,2,1,1] => 4
[7,5,4,3,6,2,1] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,5,4,6,1,2,3] => [1,1,5] => [5,1,1] => 3
[7,5,4,6,1,3,2] => [1,1,4,1] => [4,1,1,1] => 4
[7,5,4,6,2,1,3] => [1,1,3,2] => [3,2,1,1] => 4
[7,5,4,6,2,3,1] => [1,1,4,1] => [4,1,1,1] => 4
[7,5,4,6,3,1,2] => [1,1,3,2] => [3,2,1,1] => 4
[7,5,4,6,3,2,1] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[7,5,6,1,2,3,4] => [1,6] => [6,1] => 2
[7,5,6,1,2,4,3] => [1,5,1] => [5,1,1] => 3
[7,5,6,1,3,2,4] => [1,4,2] => [4,2,1] => 3
[7,5,6,1,3,4,2] => [1,5,1] => [5,1,1] => 3
[7,5,6,1,4,2,3] => [1,4,2] => [4,2,1] => 3
[7,5,6,1,4,3,2] => [1,4,1,1] => [4,1,1,1] => 4
[7,5,6,2,1,3,4] => [1,3,3] => [3,3,1] => 3
[7,5,6,2,1,4,3] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,6,2,3,1,4] => [1,4,2] => [4,2,1] => 3
[7,5,6,2,3,4,1] => [1,5,1] => [5,1,1] => 3
[7,5,6,2,4,1,3] => [1,4,2] => [4,2,1] => 3
[7,5,6,2,4,3,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,5,6,3,1,2,4] => [1,3,3] => [3,3,1] => 3
[7,5,6,3,1,4,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,6,3,2,1,4] => [1,3,1,2] => [3,2,1,1] => 4
[7,5,6,3,2,4,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,6,3,4,1,2] => [1,4,2] => [4,2,1] => 3
[7,5,6,3,4,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,5,6,4,1,2,3] => [1,3,3] => [3,3,1] => 3
[7,5,6,4,1,3,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,6,4,2,1,3] => [1,3,1,2] => [3,2,1,1] => 4
[7,5,6,4,2,3,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,5,6,4,3,1,2] => [1,3,1,2] => [3,2,1,1] => 4
[7,5,6,4,3,2,1] => [1,3,1,1,1] => [3,1,1,1,1] => 5
[7,6,1,2,3,4,5] => [1,6] => [6,1] => 2
[7,6,1,2,3,5,4] => [1,5,1] => [5,1,1] => 3
[7,6,1,2,4,3,5] => [1,4,2] => [4,2,1] => 3
[7,6,1,2,4,5,3] => [1,5,1] => [5,1,1] => 3
[7,6,1,2,5,3,4] => [1,4,2] => [4,2,1] => 3
[7,6,1,2,5,4,3] => [1,4,1,1] => [4,1,1,1] => 4
[7,6,1,3,2,4,5] => [1,3,3] => [3,3,1] => 3
[7,6,1,3,2,5,4] => [1,3,2,1] => [3,2,1,1] => 4
[7,6,1,3,4,2,5] => [1,4,2] => [4,2,1] => 3
[7,6,1,3,4,5,2] => [1,5,1] => [5,1,1] => 3
[7,6,1,3,5,2,4] => [1,4,2] => [4,2,1] => 3
[7,6,1,3,5,4,2] => [1,4,1,1] => [4,1,1,1] => 4
[7,6,1,4,2,3,5] => [1,3,3] => [3,3,1] => 3
[7,6,1,4,2,5,3] => [1,3,2,1] => [3,2,1,1] => 4
[7,6,1,4,3,2,5] => [1,3,1,2] => [3,2,1,1] => 4
[7,6,1,4,3,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,6,1,4,5,2,3] => [1,4,2] => [4,2,1] => 3
[7,6,1,4,5,3,2] => [1,4,1,1] => [4,1,1,1] => 4
[7,6,1,5,2,3,4] => [1,2,4] => [4,2,1] => 3
[7,6,1,5,2,4,3] => [1,2,3,1] => [3,2,1,1] => 4
[7,6,1,5,3,2,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,1,5,3,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,6,1,5,4,2,3] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,1,5,4,3,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,6,2,1,3,4,5] => [1,2,4] => [4,2,1] => 3
[7,6,2,1,3,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[7,6,2,1,4,3,5] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,2,1,4,5,3] => [1,2,3,1] => [3,2,1,1] => 4
[7,6,2,1,5,3,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,2,1,5,4,3] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,6,2,3,1,4,5] => [1,3,3] => [3,3,1] => 3
[7,6,2,3,1,5,4] => [1,3,2,1] => [3,2,1,1] => 4
[7,6,2,3,4,1,5] => [1,4,2] => [4,2,1] => 3
[7,6,2,3,4,5,1] => [1,5,1] => [5,1,1] => 3
[7,6,2,3,5,1,4] => [1,4,2] => [4,2,1] => 3
[7,6,2,3,5,4,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,6,2,4,1,3,5] => [1,3,3] => [3,3,1] => 3
[7,6,2,4,1,5,3] => [1,3,2,1] => [3,2,1,1] => 4
[7,6,2,4,3,1,5] => [1,3,1,2] => [3,2,1,1] => 4
[7,6,2,4,3,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,6,2,4,5,1,3] => [1,4,2] => [4,2,1] => 3
[7,6,2,4,5,3,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,6,2,5,1,3,4] => [1,2,4] => [4,2,1] => 3
[7,6,2,5,1,4,3] => [1,2,3,1] => [3,2,1,1] => 4
[7,6,2,5,3,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,2,5,3,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,6,2,5,4,1,3] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,2,5,4,3,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,6,3,1,2,4,5] => [1,2,4] => [4,2,1] => 3
[7,6,3,1,2,5,4] => [1,2,3,1] => [3,2,1,1] => 4
[7,6,3,1,4,2,5] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,3,1,4,5,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,6,3,1,5,2,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,3,1,5,4,2] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,6,3,2,1,4,5] => [1,2,1,3] => [3,2,1,1] => 4
[7,6,3,2,1,5,4] => [1,2,1,2,1] => [2,2,1,1,1] => 5
[7,6,3,2,4,1,5] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,3,2,4,5,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,6,3,2,5,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,3,2,5,4,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,6,3,4,1,2,5] => [1,3,3] => [3,3,1] => 3
[7,6,3,4,1,5,2] => [1,3,2,1] => [3,2,1,1] => 4
[7,6,3,4,2,1,5] => [1,3,1,2] => [3,2,1,1] => 4
[7,6,3,4,2,5,1] => [1,3,2,1] => [3,2,1,1] => 4
[7,6,3,4,5,1,2] => [1,4,2] => [4,2,1] => 3
[7,6,3,4,5,2,1] => [1,4,1,1] => [4,1,1,1] => 4
[7,6,3,5,1,2,4] => [1,2,4] => [4,2,1] => 3
[7,6,3,5,1,4,2] => [1,2,3,1] => [3,2,1,1] => 4
[7,6,3,5,2,1,4] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,3,5,2,4,1] => [1,2,3,1] => [3,2,1,1] => 4
[7,6,3,5,4,1,2] => [1,2,2,2] => [2,2,2,1] => 4
[7,6,3,5,4,2,1] => [1,2,2,1,1] => [2,2,1,1,1] => 5
[7,6,4,1,2,3,5] => [1,1,5] => [5,1,1] => 3
[7,6,4,1,2,5,3] => [1,1,4,1] => [4,1,1,1] => 4
[7,6,4,1,3,2,5] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,4,1,3,5,2] => [1,1,4,1] => [4,1,1,1] => 4
[7,6,4,1,5,2,3] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,4,1,5,3,2] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[7,6,4,2,1,3,5] => [1,1,2,3] => [3,2,1,1] => 4
[7,6,4,2,1,5,3] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,6,4,2,3,1,5] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,4,2,3,5,1] => [1,1,4,1] => [4,1,1,1] => 4
[7,6,4,2,5,1,3] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,4,2,5,3,1] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[7,6,4,3,1,2,5] => [1,1,2,3] => [3,2,1,1] => 4
[7,6,4,3,1,5,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,6,4,3,2,1,5] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[7,6,4,3,2,5,1] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,6,4,3,5,1,2] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,4,3,5,2,1] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[7,6,4,5,1,2,3] => [1,1,5] => [5,1,1] => 3
[7,6,4,5,1,3,2] => [1,1,4,1] => [4,1,1,1] => 4
[7,6,4,5,2,1,3] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,4,5,2,3,1] => [1,1,4,1] => [4,1,1,1] => 4
[7,6,4,5,3,1,2] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,4,5,3,2,1] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[7,6,5,1,2,3,4] => [1,1,5] => [5,1,1] => 3
[7,6,5,1,2,4,3] => [1,1,4,1] => [4,1,1,1] => 4
[7,6,5,1,3,2,4] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,5,1,3,4,2] => [1,1,4,1] => [4,1,1,1] => 4
[7,6,5,1,4,2,3] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,5,1,4,3,2] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[7,6,5,2,1,3,4] => [1,1,2,3] => [3,2,1,1] => 4
[7,6,5,2,1,4,3] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,6,5,2,3,1,4] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,5,2,3,4,1] => [1,1,4,1] => [4,1,1,1] => 4
[7,6,5,2,4,1,3] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,5,2,4,3,1] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[7,6,5,3,1,2,4] => [1,1,2,3] => [3,2,1,1] => 4
[7,6,5,3,1,4,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,6,5,3,2,1,4] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[7,6,5,3,2,4,1] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,6,5,3,4,1,2] => [1,1,3,2] => [3,2,1,1] => 4
[7,6,5,3,4,2,1] => [1,1,3,1,1] => [3,1,1,1,1] => 5
[7,6,5,4,1,2,3] => [1,1,2,3] => [3,2,1,1] => 4
[7,6,5,4,1,3,2] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,6,5,4,2,1,3] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[7,6,5,4,2,3,1] => [1,1,2,2,1] => [2,2,1,1,1] => 5
[7,6,5,4,3,1,2] => [1,1,2,1,2] => [2,2,1,1,1] => 5
[7,6,5,4,3,2,1] => [1,1,2,1,1,1] => [2,1,1,1,1,1] => 6
[8,7,6,5,4,3,2,1] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 7
[7,8,6,5,4,3,2,1] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 6
[7,6,8,5,4,3,2,1] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 6
[6,7,8,5,4,3,2,1] => [3,2,1,1,1] => [3,2,1,1,1] => 5
[7,8,5,6,4,3,2,1] => [2,3,1,1,1] => [3,2,1,1,1] => 5
[7,6,5,8,4,3,2,1] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 6
[7,5,6,8,4,3,2,1] => [1,4,1,1,1] => [4,1,1,1,1] => 5
[6,5,7,8,4,3,2,1] => [1,4,1,1,1] => [4,1,1,1,1] => 5
[5,6,7,8,4,3,2,1] => [5,1,1,1] => [5,1,1,1] => 4
[8,7,6,4,5,3,2,1] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 6
[7,8,6,4,5,3,2,1] => [2,3,1,1,1] => [3,2,1,1,1] => 5
[8,6,7,4,5,3,2,1] => [1,4,1,1,1] => [4,1,1,1,1] => 5
[7,6,5,4,8,3,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[6,5,7,4,8,3,2,1] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[7,6,4,5,8,3,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[7,5,4,6,8,3,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[7,4,5,6,8,3,2,1] => [1,5,1,1] => [5,1,1,1] => 4
[4,5,6,7,8,3,2,1] => [6,1,1] => [6,1,1] => 3
[8,7,6,5,3,4,2,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 6
[7,8,6,5,3,4,2,1] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[8,6,7,5,3,4,2,1] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[8,7,5,6,3,4,2,1] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[5,6,7,8,3,4,2,1] => [6,1,1] => [6,1,1] => 3
[6,7,8,3,4,5,2,1] => [6,1,1] => [6,1,1] => 3
[8,7,5,4,3,6,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[7,6,5,4,3,8,2,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[6,4,5,7,3,8,2,1] => [1,4,2,1] => [4,2,1,1] => 4
[5,4,6,7,3,8,2,1] => [1,4,2,1] => [4,2,1,1] => 4
[4,5,6,7,3,8,2,1] => [5,2,1] => [5,2,1] => 3
[7,6,5,3,4,8,2,1] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[7,6,4,3,5,8,2,1] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[7,6,3,4,5,8,2,1] => [1,4,2,1] => [4,2,1,1] => 4
[6,3,4,5,7,8,2,1] => [1,6,1] => [6,1,1] => 3
[4,3,5,6,7,8,2,1] => [1,6,1] => [6,1,1] => 3
[8,7,6,5,4,2,3,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 6
[7,8,6,5,4,2,3,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[8,6,7,5,4,2,3,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,7,5,6,4,2,3,1] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[5,6,7,8,4,2,3,1] => [5,2,1] => [5,2,1] => 3
[8,7,6,4,5,2,3,1] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[8,6,7,4,5,2,3,1] => [1,4,2,1] => [4,2,1,1] => 4
[4,5,6,7,8,2,3,1] => [7,1] => [7,1] => 2
[8,7,6,5,3,2,4,1] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 6
[8,6,5,7,3,2,4,1] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[5,6,7,8,3,2,4,1] => [5,2,1] => [5,2,1] => 3
[8,7,6,5,2,3,4,1] => [1,1,1,4,1] => [4,1,1,1,1] => 5
[6,7,8,5,2,3,4,1] => [3,4,1] => [4,3,1] => 3
[8,5,6,7,2,3,4,1] => [1,6,1] => [6,1,1] => 3
[5,6,7,8,2,3,4,1] => [7,1] => [7,1] => 2
[7,8,3,2,4,5,6,1] => [3,4,1] => [4,3,1] => 3
[7,6,5,4,3,2,8,1] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 6
[6,7,5,4,3,2,8,1] => [2,2,1,1,2] => [2,2,2,1,1] => 5
[6,5,7,4,3,2,8,1] => [1,3,1,1,2] => [3,2,1,1,1] => 5
[6,4,5,7,3,2,8,1] => [1,4,1,2] => [4,2,1,1] => 4
[4,5,6,7,3,2,8,1] => [5,1,2] => [5,2,1] => 3
[6,5,4,3,7,2,8,1] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[5,4,6,3,7,2,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[6,5,3,4,7,2,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[7,6,5,4,2,3,8,1] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[6,7,4,5,2,3,8,1] => [2,4,2] => [4,2,2] => 3
[6,4,5,7,2,3,8,1] => [1,5,2] => [5,2,1] => 3
[4,5,6,7,2,3,8,1] => [6,2] => [6,2] => 2
[7,6,5,3,2,4,8,1] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[7,6,5,2,3,4,8,1] => [1,1,4,2] => [4,2,1,1] => 4
[6,7,2,3,4,5,8,1] => [6,2] => [6,2] => 2
[5,4,3,2,6,7,8,1] => [1,2,1,4] => [4,2,1,1] => 4
[3,4,5,2,6,7,8,1] => [4,4] => [4,4] => 2
[5,2,3,4,6,7,8,1] => [4,4] => [4,4] => 2
[4,3,2,5,6,7,8,1] => [1,2,5] => [5,2,1] => 3
[3,4,2,5,6,7,8,1] => [3,5] => [5,3] => 2
[4,2,3,5,6,7,8,1] => [3,5] => [5,3] => 2
[3,2,4,5,6,7,8,1] => [2,6] => [6,2] => 2
[2,3,4,5,6,7,8,1] => [8] => [8] => 1
[8,7,6,5,4,3,1,2] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 6
[7,8,6,5,4,3,1,2] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[8,6,7,5,4,3,1,2] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[8,7,5,6,4,3,1,2] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[6,5,7,8,4,3,1,2] => [1,4,1,2] => [4,2,1,1] => 4
[5,6,7,8,4,3,1,2] => [5,1,2] => [5,2,1] => 3
[8,7,6,4,5,3,1,2] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[7,8,6,4,5,3,1,2] => [2,3,1,2] => [3,2,2,1] => 4
[4,5,6,7,8,3,1,2] => [6,2] => [6,2] => 2
[8,7,6,5,3,4,1,2] => [1,1,1,3,2] => [3,2,1,1,1] => 5
[8,7,5,6,3,4,1,2] => [1,1,4,2] => [4,2,1,1] => 4
[7,8,5,6,3,4,1,2] => [2,4,2] => [4,2,2] => 3
[7,6,5,8,3,4,1,2] => [1,1,4,2] => [4,2,1,1] => 4
[6,7,5,8,3,4,1,2] => [2,4,2] => [4,2,2] => 3
[7,5,6,8,3,4,1,2] => [1,5,2] => [5,2,1] => 3
[6,5,7,8,3,4,1,2] => [1,5,2] => [5,2,1] => 3
[5,6,7,8,3,4,1,2] => [6,2] => [6,2] => 2
[7,8,5,4,3,6,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[7,8,4,5,3,6,1,2] => [2,4,2] => [4,2,2] => 3
[7,8,5,3,4,6,1,2] => [2,4,2] => [4,2,2] => 3
[7,8,4,3,5,6,1,2] => [2,4,2] => [4,2,2] => 3
[7,8,3,4,5,6,1,2] => [6,2] => [6,2] => 2
[8,4,3,5,6,7,1,2] => [1,2,5] => [5,2,1] => 3
[8,3,4,5,6,7,1,2] => [1,7] => [7,1] => 2
[7,6,5,4,3,8,1,2] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[6,5,7,4,3,8,1,2] => [1,3,1,3] => [3,3,1,1] => 4
[5,6,7,4,3,8,1,2] => [4,1,3] => [4,3,1] => 3
[6,7,4,5,3,8,1,2] => [2,3,3] => [3,3,2] => 3
[5,6,4,7,3,8,1,2] => [2,3,3] => [3,3,2] => 3
[5,4,6,7,3,8,1,2] => [1,4,3] => [4,3,1] => 3
[4,5,6,7,3,8,1,2] => [5,3] => [5,3] => 2
[5,4,6,3,7,8,1,2] => [1,3,4] => [4,3,1] => 3
[5,6,3,4,7,8,1,2] => [4,4] => [4,4] => 2
[6,4,3,5,7,8,1,2] => [1,2,5] => [5,2,1] => 3
[6,3,4,5,7,8,1,2] => [1,7] => [7,1] => 2
[5,4,3,6,7,8,1,2] => [1,2,5] => [5,2,1] => 3
[4,5,3,6,7,8,1,2] => [3,5] => [5,3] => 2
[4,3,5,6,7,8,1,2] => [1,7] => [7,1] => 2
[3,4,5,6,7,8,1,2] => [8] => [8] => 1
[8,7,6,5,4,2,1,3] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 6
[7,6,8,5,4,2,1,3] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[5,6,7,8,4,2,1,3] => [5,1,2] => [5,2,1] => 3
[4,5,6,7,8,2,1,3] => [6,2] => [6,2] => 2
[8,7,6,5,4,1,2,3] => [1,1,1,2,3] => [3,2,1,1,1] => 5
[6,7,8,5,4,1,2,3] => [3,2,3] => [3,3,2] => 3
[8,5,6,7,4,1,2,3] => [1,4,3] => [4,3,1] => 3
[6,5,7,8,4,1,2,3] => [1,4,3] => [4,3,1] => 3
[5,6,7,8,4,1,2,3] => [5,3] => [5,3] => 2
[8,7,6,4,5,1,2,3] => [1,1,3,3] => [3,3,1,1] => 4
[8,6,7,4,5,1,2,3] => [1,4,3] => [4,3,1] => 3
[8,7,4,5,6,1,2,3] => [1,1,6] => [6,1,1] => 3
[7,8,4,5,6,1,2,3] => [2,6] => [6,2] => 2
[6,7,4,5,8,1,2,3] => [2,6] => [6,2] => 2
[6,5,4,7,8,1,2,3] => [1,1,6] => [6,1,1] => 3
[4,5,6,7,8,1,2,3] => [8] => [8] => 1
[8,7,6,5,3,2,1,4] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 6
[7,8,5,6,3,2,1,4] => [2,3,1,2] => [3,2,2,1] => 4
[7,6,5,8,3,2,1,4] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[5,6,7,8,3,2,1,4] => [5,1,2] => [5,2,1] => 3
[8,7,6,5,2,3,1,4] => [1,1,1,3,2] => [3,2,1,1,1] => 5
[7,8,5,6,2,3,1,4] => [2,4,2] => [4,2,2] => 3
[6,7,5,8,2,3,1,4] => [2,4,2] => [4,2,2] => 3
[7,5,6,8,2,3,1,4] => [1,5,2] => [5,2,1] => 3
[5,6,7,8,2,3,1,4] => [6,2] => [6,2] => 2
[8,7,6,5,3,1,2,4] => [1,1,1,2,3] => [3,2,1,1,1] => 5
[7,8,5,6,3,1,2,4] => [2,3,3] => [3,3,2] => 3
[6,7,5,8,3,1,2,4] => [2,3,3] => [3,3,2] => 3
[7,5,6,8,3,1,2,4] => [1,4,3] => [4,3,1] => 3
[5,6,7,8,3,1,2,4] => [5,3] => [5,3] => 2
[8,7,6,5,2,1,3,4] => [1,1,1,2,3] => [3,2,1,1,1] => 5
[7,8,6,5,2,1,3,4] => [2,1,2,3] => [3,2,2,1] => 4
[6,7,8,5,2,1,3,4] => [3,2,3] => [3,3,2] => 3
[7,8,5,6,2,1,3,4] => [2,3,3] => [3,3,2] => 3
[6,5,7,8,2,1,3,4] => [1,4,3] => [4,3,1] => 3
[5,6,7,8,2,1,3,4] => [5,3] => [5,3] => 2
[8,7,6,5,1,2,3,4] => [1,1,1,5] => [5,1,1,1] => 4
[7,8,6,5,1,2,3,4] => [2,1,5] => [5,2,1] => 3
[8,6,7,5,1,2,3,4] => [1,2,5] => [5,2,1] => 3
[7,6,8,5,1,2,3,4] => [1,2,5] => [5,2,1] => 3
[6,7,8,5,1,2,3,4] => [3,5] => [5,3] => 2
[8,7,5,6,1,2,3,4] => [1,1,6] => [6,1,1] => 3
[7,8,5,6,1,2,3,4] => [2,6] => [6,2] => 2
[8,6,5,7,1,2,3,4] => [1,1,6] => [6,1,1] => 3
[8,5,6,7,1,2,3,4] => [1,7] => [7,1] => 2
[7,6,5,8,1,2,3,4] => [1,1,6] => [6,1,1] => 3
[6,7,5,8,1,2,3,4] => [2,6] => [6,2] => 2
[7,5,6,8,1,2,3,4] => [1,7] => [7,1] => 2
[6,5,7,8,1,2,3,4] => [1,7] => [7,1] => 2
[5,6,7,8,1,2,3,4] => [8] => [8] => 1
[8,7,6,4,3,2,1,5] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 6
[6,7,8,4,3,2,1,5] => [4,1,1,2] => [4,2,1,1] => 4
[8,7,6,3,4,2,1,5] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[6,7,8,3,4,2,1,5] => [5,1,2] => [5,2,1] => 3
[8,7,6,4,2,3,1,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[6,7,8,4,2,3,1,5] => [4,2,2] => [4,2,2] => 3
[8,7,6,3,2,4,1,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[6,7,8,3,2,4,1,5] => [4,2,2] => [4,2,2] => 3
[8,7,6,2,3,4,1,5] => [1,1,4,2] => [4,2,1,1] => 4
[6,7,8,2,3,4,1,5] => [6,2] => [6,2] => 2
[8,7,6,4,3,1,2,5] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[6,7,8,4,3,1,2,5] => [4,1,3] => [4,3,1] => 3
[8,7,6,3,4,1,2,5] => [1,1,3,3] => [3,3,1,1] => 4
[6,7,8,3,4,1,2,5] => [5,3] => [5,3] => 2
[8,7,6,4,2,1,3,5] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[6,7,8,4,2,1,3,5] => [4,1,3] => [4,3,1] => 3
[8,7,6,4,1,2,3,5] => [1,1,2,4] => [4,2,1,1] => 4
[6,7,8,4,1,2,3,5] => [4,4] => [4,4] => 2
[8,7,6,3,2,1,4,5] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[6,7,8,3,2,1,4,5] => [4,1,3] => [4,3,1] => 3
[8,7,6,2,3,1,4,5] => [1,1,3,3] => [3,3,1,1] => 4
[6,7,8,2,3,1,4,5] => [5,3] => [5,3] => 2
[8,7,6,3,1,2,4,5] => [1,1,2,4] => [4,2,1,1] => 4
[6,7,8,3,1,2,4,5] => [4,4] => [4,4] => 2
[8,7,6,2,1,3,4,5] => [1,1,2,4] => [4,2,1,1] => 4
[6,7,8,2,1,3,4,5] => [4,4] => [4,4] => 2
[8,7,6,1,2,3,4,5] => [1,1,6] => [6,1,1] => 3
[7,8,6,1,2,3,4,5] => [2,6] => [6,2] => 2
[8,6,7,1,2,3,4,5] => [1,7] => [7,1] => 2
[7,6,8,1,2,3,4,5] => [1,7] => [7,1] => 2
[6,7,8,1,2,3,4,5] => [8] => [8] => 1
[7,8,5,4,3,2,1,6] => [2,2,1,1,2] => [2,2,2,1,1] => 5
[7,8,4,5,2,3,1,6] => [2,4,2] => [4,2,2] => 3
[7,8,3,4,2,5,1,6] => [4,2,2] => [4,2,2] => 3
[7,8,5,4,2,1,3,6] => [2,2,1,3] => [3,2,2,1] => 4
[7,8,5,4,1,2,3,6] => [2,2,4] => [4,2,2] => 3
[7,8,4,5,1,2,3,6] => [2,6] => [6,2] => 2
[8,7,5,2,1,3,4,6] => [1,1,2,4] => [4,2,1,1] => 4
[7,8,5,2,1,3,4,6] => [2,2,4] => [4,2,2] => 3
[8,7,5,1,2,3,4,6] => [1,1,6] => [6,1,1] => 3
[7,8,5,1,2,3,4,6] => [2,6] => [6,2] => 2
[8,7,4,3,2,1,5,6] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[7,8,4,3,2,1,5,6] => [2,2,1,3] => [3,2,2,1] => 4
[7,8,3,2,4,1,5,6] => [3,2,3] => [3,3,2] => 3
[7,8,2,3,4,1,5,6] => [5,3] => [5,3] => 2
[7,8,3,4,1,2,5,6] => [4,4] => [4,4] => 2
[7,8,4,2,1,3,5,6] => [2,2,4] => [4,2,2] => 3
[8,7,4,1,2,3,5,6] => [1,1,6] => [6,1,1] => 3
[8,7,3,2,1,4,5,6] => [1,2,1,4] => [4,2,1,1] => 4
[7,8,3,2,1,4,5,6] => [3,1,4] => [4,3,1] => 3
[7,8,2,1,3,4,5,6] => [3,5] => [5,3] => 2
[8,7,1,2,3,4,5,6] => [1,7] => [7,1] => 2
[7,8,1,2,3,4,5,6] => [8] => [8] => 1
[8,6,5,4,3,2,1,7] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 6
[8,4,5,6,3,2,1,7] => [1,4,1,2] => [4,2,1,1] => 4
[8,6,5,4,3,1,2,7] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[8,5,6,3,4,1,2,7] => [1,4,3] => [4,3,1] => 3
[8,4,3,5,6,1,2,7] => [1,2,5] => [5,2,1] => 3
[8,3,4,5,6,1,2,7] => [1,7] => [7,1] => 2
[8,6,5,4,2,1,3,7] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[8,6,4,5,1,2,3,7] => [1,1,6] => [6,1,1] => 3
[8,6,5,2,3,1,4,7] => [1,1,3,3] => [3,3,1,1] => 4
[8,5,6,2,3,1,4,7] => [1,4,3] => [4,3,1] => 3
[8,5,6,2,1,3,4,7] => [1,3,4] => [4,3,1] => 3
[8,6,5,1,2,3,4,7] => [1,1,6] => [6,1,1] => 3
[8,5,6,1,2,3,4,7] => [1,7] => [7,1] => 2
[8,6,4,3,2,1,5,7] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[8,6,3,4,2,1,5,7] => [1,3,1,3] => [3,3,1,1] => 4
[8,6,4,2,1,3,5,7] => [1,1,2,4] => [4,2,1,1] => 4
[8,4,3,2,1,5,6,7] => [1,2,1,4] => [4,2,1,1] => 4
[8,2,3,4,1,5,6,7] => [4,4] => [4,4] => 2
[8,4,1,2,3,5,6,7] => [1,7] => [7,1] => 2
[8,3,2,1,4,5,6,7] => [1,2,5] => [5,2,1] => 3
[8,2,3,1,4,5,6,7] => [3,5] => [5,3] => 2
[8,3,1,2,4,5,6,7] => [1,7] => [7,1] => 2
[8,2,1,3,4,5,6,7] => [2,6] => [6,2] => 2
[8,1,2,3,4,5,6,7] => [8] => [8] => 1
[7,6,5,4,3,2,1,8] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 6
[6,7,5,4,3,2,1,8] => [2,2,1,1,2] => [2,2,2,1,1] => 5
[6,5,7,4,3,2,1,8] => [1,3,1,1,2] => [3,2,1,1,1] => 5
[5,6,7,4,3,2,1,8] => [4,1,1,2] => [4,2,1,1] => 4
[7,6,4,5,3,2,1,8] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[7,4,5,6,3,2,1,8] => [1,4,1,2] => [4,2,1,1] => 4
[6,5,4,7,3,2,1,8] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[4,5,6,7,3,2,1,8] => [5,1,2] => [5,2,1] => 3
[7,5,6,3,4,2,1,8] => [1,4,1,2] => [4,2,1,1] => 4
[5,6,7,3,4,2,1,8] => [5,1,2] => [5,2,1] => 3
[7,6,4,3,5,2,1,8] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[7,6,3,4,5,2,1,8] => [1,4,1,2] => [4,2,1,1] => 4
[7,5,4,3,6,2,1,8] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[6,7,5,4,2,3,1,8] => [2,2,2,2] => [2,2,2,2] => 4
[5,6,7,4,2,3,1,8] => [4,2,2] => [4,2,2] => 3
[7,6,4,5,2,3,1,8] => [1,1,4,2] => [4,2,1,1] => 4
[6,7,4,5,2,3,1,8] => [2,4,2] => [4,2,2] => 3
[7,4,5,6,2,3,1,8] => [1,5,2] => [5,2,1] => 3
[5,6,4,7,2,3,1,8] => [2,4,2] => [4,2,2] => 3
[4,5,6,7,2,3,1,8] => [6,2] => [6,2] => 2
[6,5,7,3,2,4,1,8] => [1,3,2,2] => [3,2,2,1] => 4
[5,6,7,3,2,4,1,8] => [4,2,2] => [4,2,2] => 3
[7,6,5,2,3,4,1,8] => [1,1,4,2] => [4,2,1,1] => 4
[6,7,5,2,3,4,1,8] => [2,4,2] => [4,2,2] => 3
[7,5,6,2,3,4,1,8] => [1,5,2] => [5,2,1] => 3
[6,5,7,2,3,4,1,8] => [1,5,2] => [5,2,1] => 3
[5,6,7,2,3,4,1,8] => [6,2] => [6,2] => 2
[6,7,3,4,2,5,1,8] => [4,2,2] => [4,2,2] => 3
[7,4,5,2,3,6,1,8] => [1,5,2] => [5,2,1] => 3
[5,6,3,4,2,7,1,8] => [4,1,3] => [4,3,1] => 3
[4,5,3,6,2,7,1,8] => [3,2,3] => [3,3,2] => 3
[5,4,3,2,6,7,1,8] => [1,2,1,4] => [4,2,1,1] => 4
[3,2,4,5,6,7,1,8] => [2,6] => [6,2] => 2
[2,3,4,5,6,7,1,8] => [8] => [8] => 1
[7,6,5,4,3,1,2,8] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[7,5,6,4,3,1,2,8] => [1,3,1,3] => [3,3,1,1] => 4
[7,4,5,6,3,1,2,8] => [1,4,3] => [4,3,1] => 3
[4,5,6,7,3,1,2,8] => [5,3] => [5,3] => 2
[7,6,5,4,2,1,3,8] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[6,5,7,4,2,1,3,8] => [1,3,1,3] => [3,3,1,1] => 4
[7,5,4,6,2,1,3,8] => [1,1,3,3] => [3,3,1,1] => 4
[7,4,5,6,2,1,3,8] => [1,4,3] => [4,3,1] => 3
[4,5,6,7,2,1,3,8] => [5,3] => [5,3] => 2
[7,6,5,4,1,2,3,8] => [1,1,2,4] => [4,2,1,1] => 4
[5,6,7,4,1,2,3,8] => [4,4] => [4,4] => 2
[7,4,5,6,1,2,3,8] => [1,7] => [7,1] => 2
[5,6,4,7,1,2,3,8] => [2,6] => [6,2] => 2
[5,4,6,7,1,2,3,8] => [1,7] => [7,1] => 2
[4,5,6,7,1,2,3,8] => [8] => [8] => 1
[5,6,7,3,1,2,4,8] => [4,4] => [4,4] => 2
[5,6,7,2,1,3,4,8] => [4,4] => [4,4] => 2
[7,6,5,1,2,3,4,8] => [1,1,6] => [6,1,1] => 3
[6,7,5,1,2,3,4,8] => [2,6] => [6,2] => 2
[7,5,6,1,2,3,4,8] => [1,7] => [7,1] => 2
[6,5,7,1,2,3,4,8] => [1,7] => [7,1] => 2
[5,6,7,1,2,3,4,8] => [8] => [8] => 1
[7,6,4,3,2,1,5,8] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[7,6,4,3,1,2,5,8] => [1,1,2,4] => [4,2,1,1] => 4
[6,7,1,2,3,4,5,8] => [8] => [8] => 1
[7,5,3,1,2,4,6,8] => [1,2,5] => [5,2,1] => 3
[7,5,1,2,3,4,6,8] => [1,7] => [7,1] => 2
[7,4,3,2,1,5,6,8] => [1,2,1,4] => [4,2,1,1] => 4
[7,3,1,2,4,5,6,8] => [1,7] => [7,1] => 2
[7,2,1,3,4,5,6,8] => [2,6] => [6,2] => 2
[7,1,2,3,4,5,6,8] => [8] => [8] => 1
[6,5,4,3,2,1,7,8] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[5,4,3,2,6,1,7,8] => [1,2,1,4] => [4,2,1,1] => 4
[4,5,3,2,6,1,7,8] => [3,1,4] => [4,3,1] => 3
[4,2,3,5,6,1,7,8] => [3,5] => [5,3] => 2
[2,3,4,5,6,1,7,8] => [8] => [8] => 1
[5,6,4,3,1,2,7,8] => [2,2,4] => [4,2,2] => 3
[5,4,6,3,1,2,7,8] => [1,3,4] => [4,3,1] => 3
[5,6,3,4,1,2,7,8] => [4,4] => [4,4] => 2
[5,4,3,6,1,2,7,8] => [1,2,5] => [5,2,1] => 3
[5,6,4,2,1,3,7,8] => [2,2,4] => [4,2,2] => 3
[5,4,6,2,1,3,7,8] => [1,3,4] => [4,3,1] => 3
[4,5,6,1,2,3,7,8] => [8] => [8] => 1
[5,6,3,2,1,4,7,8] => [3,1,4] => [4,3,1] => 3
[6,4,3,2,1,5,7,8] => [1,2,1,4] => [4,2,1,1] => 4
[6,4,3,1,2,5,7,8] => [1,2,5] => [5,2,1] => 3
[6,4,1,2,3,5,7,8] => [1,7] => [7,1] => 2
[6,2,3,1,4,5,7,8] => [3,5] => [5,3] => 2
[6,1,2,3,4,5,7,8] => [8] => [8] => 1
[5,4,3,2,1,6,7,8] => [1,2,1,4] => [4,2,1,1] => 4
[4,5,2,3,1,6,7,8] => [4,4] => [4,4] => 2
[5,2,3,4,1,6,7,8] => [4,4] => [4,4] => 2
[2,3,4,5,1,6,7,8] => [8] => [8] => 1
[5,3,1,2,4,6,7,8] => [1,7] => [7,1] => 2
[5,1,2,3,4,6,7,8] => [8] => [8] => 1
[4,3,2,1,5,6,7,8] => [1,2,5] => [5,2,1] => 3
[3,2,4,1,5,6,7,8] => [2,6] => [6,2] => 2
[2,3,4,1,5,6,7,8] => [8] => [8] => 1
[3,4,1,2,5,6,7,8] => [8] => [8] => 1
[4,1,2,3,5,6,7,8] => [8] => [8] => 1
[3,2,1,4,5,6,7,8] => [2,6] => [6,2] => 2
[3,1,2,4,5,6,7,8] => [8] => [8] => 1
[2,1,3,4,5,6,7,8] => [8] => [8] => 1
[1,2,3,4,5,6,7,8] => [8] => [8] => 1
[5,8,7,6,4,3,2,1] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 6
[6,5,8,7,4,3,2,1] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 6
[4,8,7,6,5,3,2,1] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 6
[4,7,6,5,8,3,2,1] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[3,7,6,8,5,4,2,1] => [2,3,1,1,1] => [3,2,1,1,1] => 5
[3,5,8,7,6,4,2,1] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[3,5,6,8,7,4,2,1] => [4,2,1,1] => [4,2,1,1] => 4
[3,5,6,7,8,4,2,1] => [6,1,1] => [6,1,1] => 3
[3,4,8,7,6,5,2,1] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[3,4,5,8,7,6,2,1] => [4,2,1,1] => [4,2,1,1] => 4
[4,3,6,5,8,7,2,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,7,6,4,3,8,2,1] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[2,7,8,6,5,4,3,1] => [3,2,1,1,1] => [3,2,1,1,1] => 5
[2,6,8,7,5,4,3,1] => [3,2,1,1,1] => [3,2,1,1,1] => 5
[2,5,6,7,8,4,3,1] => [6,1,1] => [6,1,1] => 3
[2,4,8,7,6,5,3,1] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[2,4,6,8,7,5,3,1] => [4,2,1,1] => [4,2,1,1] => 4
[2,7,6,5,4,8,3,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,3,5,6,8,7,4,1] => [5,2,1] => [5,2,1] => 3
[2,3,5,6,7,8,4,1] => [7,1] => [7,1] => 2
[4,3,2,8,7,6,5,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[3,4,2,8,7,6,5,1] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[2,4,3,8,7,6,5,1] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[3,2,4,8,7,6,5,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[2,3,4,8,7,6,5,1] => [4,2,1,1] => [4,2,1,1] => 4
[5,4,3,2,8,7,6,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[5,4,3,2,7,8,6,1] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[2,5,4,3,8,7,6,1] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[2,5,4,3,7,8,6,1] => [2,2,3,1] => [3,2,2,1] => 4
[2,4,5,3,7,8,6,1] => [4,3,1] => [4,3,1] => 3
[3,4,2,5,7,8,6,1] => [3,4,1] => [4,3,1] => 3
[4,3,6,5,2,8,7,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[3,2,6,5,4,8,7,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,4,3,6,5,8,7,1] => [3,2,2,1] => [3,2,2,1] => 4
[5,4,3,2,6,8,7,1] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[2,5,4,3,6,8,7,1] => [2,2,3,1] => [3,2,2,1] => 4
[2,4,3,5,6,8,7,1] => [3,4,1] => [4,3,1] => 3
[2,3,4,5,6,8,7,1] => [7,1] => [7,1] => 2
[4,3,6,5,7,2,8,1] => [1,2,3,2] => [3,2,2,1] => 4
[2,5,4,7,6,3,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[2,5,4,6,7,3,8,1] => [2,4,2] => [4,2,2] => 3
[3,2,6,5,7,4,8,1] => [2,1,3,2] => [3,2,2,1] => 4
[4,3,2,7,6,5,8,1] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[3,4,2,7,6,5,8,1] => [3,1,2,2] => [3,2,2,1] => 4
[3,4,2,6,7,5,8,1] => [3,3,2] => [3,3,2] => 3
[2,4,3,7,6,5,8,1] => [3,1,2,2] => [3,2,2,1] => 4
[3,2,4,7,6,5,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[2,3,4,7,6,5,8,1] => [4,2,2] => [4,2,2] => 3
[5,4,3,2,7,6,8,1] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,3,5,2,7,6,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[2,5,4,3,7,6,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,5,4,7,6,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[2,3,5,4,7,6,8,1] => [4,2,2] => [4,2,2] => 3
[3,2,4,5,7,6,8,1] => [2,4,2] => [4,2,2] => 3
[2,4,3,6,5,7,8,1] => [3,2,3] => [3,3,2] => 3
[2,5,4,3,6,7,8,1] => [2,2,4] => [4,2,2] => 3
[1,8,7,6,5,4,3,2] => [1,1,1,2,1,1,1] => [2,1,1,1,1,1,1] => 7
[1,7,8,6,5,4,3,2] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 6
[1,6,8,7,5,4,3,2] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 6
[1,7,6,8,5,4,3,2] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 6
[1,6,7,8,5,4,3,2] => [1,4,1,1,1] => [4,1,1,1,1] => 5
[1,5,8,7,6,4,3,2] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[1,7,6,5,8,4,3,2] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 6
[1,5,6,7,8,4,3,2] => [1,5,1,1] => [5,1,1,1] => 4
[1,4,8,7,6,5,3,2] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[1,4,7,8,6,5,3,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[1,3,5,7,8,6,4,2] => [1,5,1,1] => [5,1,1,1] => 4
[1,3,6,5,7,8,4,2] => [1,2,4,1] => [4,2,1,1] => 4
[1,3,5,6,7,8,4,2] => [1,6,1] => [6,1,1] => 3
[1,4,3,8,7,6,5,2] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[1,4,3,7,8,6,5,2] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[1,4,3,7,6,8,5,2] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[1,3,4,8,7,6,5,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[1,3,4,7,6,8,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[1,3,4,5,7,8,6,2] => [1,6,1] => [6,1,1] => 3
[1,6,5,4,3,8,7,2] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[1,5,6,4,3,8,7,2] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[1,4,3,6,5,8,7,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,3,4,5,6,8,7,2] => [1,6,1] => [6,1,1] => 3
[1,5,4,3,6,7,8,2] => [1,1,2,4] => [4,2,1,1] => 4
[1,4,5,3,6,7,8,2] => [1,3,4] => [4,3,1] => 3
[1,4,3,5,6,7,8,2] => [1,2,5] => [5,2,1] => 3
[1,3,4,5,6,7,8,2] => [1,7] => [7,1] => 2
[2,1,8,7,6,5,4,3] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 6
[2,1,6,7,8,5,4,3] => [2,4,1,1] => [4,2,1,1] => 4
[2,1,6,5,8,7,4,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,1,7,6,5,8,4,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,1,6,7,5,8,4,3] => [2,3,2,1] => [3,2,2,1] => 4
[2,1,6,5,7,8,4,3] => [2,1,4,1] => [4,2,1,1] => 4
[2,1,5,6,7,8,4,3] => [2,5,1] => [5,2,1] => 3
[2,1,4,8,7,6,5,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[2,1,4,7,8,6,5,3] => [2,4,1,1] => [4,2,1,1] => 4
[2,1,4,5,8,7,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[2,1,4,5,7,8,6,3] => [2,5,1] => [5,2,1] => 3
[2,1,4,6,5,8,7,3] => [2,3,2,1] => [3,2,2,1] => 4
[2,1,6,5,7,4,8,3] => [2,1,3,2] => [3,2,2,1] => 4
[2,1,5,4,7,6,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,4,5,6,7,8,3] => [2,6] => [6,2] => 2
[1,2,6,7,8,5,4,3] => [2,4,1,1] => [4,2,1,1] => 4
[1,2,5,6,7,8,4,3] => [2,5,1] => [5,2,1] => 3
[1,2,4,8,7,6,5,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[1,2,4,7,8,6,5,3] => [2,4,1,1] => [4,2,1,1] => 4
[1,2,4,6,7,8,5,3] => [2,5,1] => [5,2,1] => 3
[1,2,6,5,4,7,8,3] => [2,1,2,3] => [3,2,2,1] => 4
[1,2,5,6,4,7,8,3] => [2,3,3] => [3,3,2] => 3
[1,2,5,4,6,7,8,3] => [2,2,4] => [4,2,2] => 3
[1,2,4,5,6,7,8,3] => [2,6] => [6,2] => 2
[3,2,1,8,7,6,5,4] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 6
[3,2,1,7,8,6,5,4] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[3,2,1,6,8,7,5,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[3,2,1,7,6,8,5,4] => [2,1,1,3,1] => [3,2,1,1,1] => 5
[3,2,1,6,7,8,5,4] => [2,1,4,1] => [4,2,1,1] => 4
[3,2,1,5,8,7,6,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[3,2,1,5,7,8,6,4] => [2,1,4,1] => [4,2,1,1] => 4
[3,2,1,6,5,8,7,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[3,2,1,5,6,8,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[3,2,1,7,6,5,8,4] => [2,1,1,2,2] => [2,2,2,1,1] => 5
[3,2,1,6,7,5,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[3,2,1,5,7,6,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[3,2,1,6,5,7,8,4] => [2,1,2,3] => [3,2,2,1] => 4
[3,2,1,5,6,7,8,4] => [2,1,5] => [5,2,1] => 3
[2,3,1,8,7,6,5,4] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[1,3,2,8,7,6,5,4] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[2,1,3,8,7,6,5,4] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[1,2,3,8,7,6,5,4] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[1,2,3,7,8,6,5,4] => [3,3,1,1] => [3,3,1,1] => 4
[1,2,3,6,8,7,5,4] => [3,2,2,1] => [3,2,2,1] => 4
[1,2,3,7,6,8,5,4] => [3,1,3,1] => [3,3,1,1] => 4
[1,2,3,6,7,8,5,4] => [3,4,1] => [4,3,1] => 3
[1,2,3,5,8,7,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[1,2,3,5,7,8,6,4] => [3,4,1] => [4,3,1] => 3
[1,2,3,6,5,8,7,4] => [3,2,2,1] => [3,2,2,1] => 4
[1,2,3,5,6,8,7,4] => [3,4,1] => [4,3,1] => 3
[1,2,3,7,6,5,8,4] => [3,1,2,2] => [3,2,2,1] => 4
[1,2,3,6,7,5,8,4] => [3,3,2] => [3,3,2] => 3
[1,2,3,5,7,6,8,4] => [3,3,2] => [3,3,2] => 3
[1,2,3,6,5,7,8,4] => [3,2,3] => [3,3,2] => 3
[1,2,3,5,6,7,8,4] => [3,5] => [5,3] => 2
[4,3,2,1,8,7,6,5] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[4,3,2,1,7,8,6,5] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[4,3,2,1,6,8,7,5] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[4,3,2,1,7,6,8,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,3,2,1,6,7,8,5] => [1,2,1,4] => [4,2,1,1] => 4
[3,4,2,1,8,7,6,5] => [3,1,1,2,1] => [3,2,1,1,1] => 5
[3,4,2,1,7,8,6,5] => [3,1,3,1] => [3,3,1,1] => 4
[3,4,2,1,6,8,7,5] => [3,1,3,1] => [3,3,1,1] => 4
[3,4,2,1,7,6,8,5] => [3,1,2,2] => [3,2,2,1] => 4
[3,4,2,1,6,7,8,5] => [3,1,4] => [4,3,1] => 3
[2,4,3,1,8,7,6,5] => [3,1,1,2,1] => [3,2,1,1,1] => 5
[2,4,3,1,7,8,6,5] => [3,1,3,1] => [3,3,1,1] => 4
[2,4,3,1,6,8,7,5] => [3,1,3,1] => [3,3,1,1] => 4
[2,4,3,1,7,6,8,5] => [3,1,2,2] => [3,2,2,1] => 4
[2,4,3,1,6,7,8,5] => [3,1,4] => [4,3,1] => 3
[3,2,4,1,8,7,6,5] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[3,2,4,1,7,8,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,4,1,6,8,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,4,1,7,6,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,4,1,6,7,8,5] => [2,2,4] => [4,2,2] => 3
[2,3,4,1,8,7,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[2,3,4,1,7,8,6,5] => [4,3,1] => [4,3,1] => 3
[2,3,4,1,6,8,7,5] => [4,3,1] => [4,3,1] => 3
[2,3,4,1,7,6,8,5] => [4,2,2] => [4,2,2] => 3
[2,3,4,1,6,7,8,5] => [4,4] => [4,4] => 2
[1,4,3,2,8,7,6,5] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[1,4,3,2,7,6,8,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[1,4,3,2,6,7,8,5] => [1,2,1,4] => [4,2,1,1] => 4
[1,3,4,2,8,7,6,5] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[1,3,4,2,7,6,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[1,3,4,2,6,7,8,5] => [1,3,4] => [4,3,1] => 3
[2,1,4,3,8,7,6,5] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[2,1,4,3,7,8,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[2,1,4,3,6,8,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[2,1,4,3,7,6,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,4,3,6,7,8,5] => [2,2,4] => [4,2,2] => 3
[1,2,4,3,8,7,6,5] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[1,2,4,3,7,6,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[1,2,4,3,6,7,8,5] => [2,2,4] => [4,2,2] => 3
[3,2,1,4,8,7,6,5] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[3,2,1,4,7,8,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,1,4,7,6,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,1,4,6,7,8,5] => [2,2,4] => [4,2,2] => 3
[2,3,1,4,8,7,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[2,3,1,4,7,6,8,5] => [4,2,2] => [4,2,2] => 3
[2,3,1,4,6,7,8,5] => [4,4] => [4,4] => 2
[1,3,2,4,8,7,6,5] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[1,3,2,4,7,6,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[1,3,2,4,6,7,8,5] => [1,3,4] => [4,3,1] => 3
[2,1,3,4,8,7,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[2,1,3,4,7,8,6,5] => [4,3,1] => [4,3,1] => 3
[2,1,3,4,7,6,8,5] => [4,2,2] => [4,2,2] => 3
[2,1,3,4,6,7,8,5] => [4,4] => [4,4] => 2
[1,2,3,4,8,7,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[1,2,3,4,7,8,6,5] => [4,3,1] => [4,3,1] => 3
[1,2,3,4,7,6,8,5] => [4,2,2] => [4,2,2] => 3
[1,2,3,4,6,7,8,5] => [4,4] => [4,4] => 2
[5,4,3,2,1,8,7,6] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[5,4,3,2,1,7,8,6] => [1,2,1,1,3] => [3,2,1,1,1] => 5
[4,5,3,2,1,8,7,6] => [3,1,1,2,1] => [3,2,1,1,1] => 5
[3,5,4,2,1,8,7,6] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[4,3,5,2,1,8,7,6] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[3,4,5,2,1,8,7,6] => [4,1,2,1] => [4,2,1,1] => 4
[2,5,4,3,1,8,7,6] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[2,4,5,3,1,8,7,6] => [4,1,2,1] => [4,2,1,1] => 4
[3,2,5,4,1,8,7,6] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[2,3,5,4,1,8,7,6] => [4,1,2,1] => [4,2,1,1] => 4
[4,3,2,5,1,8,7,6] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[3,4,2,5,1,8,7,6] => [3,2,2,1] => [3,2,2,1] => 4
[2,4,3,5,1,8,7,6] => [3,2,2,1] => [3,2,2,1] => 4
[3,2,4,5,1,8,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[2,3,4,5,1,8,7,6] => [5,2,1] => [5,2,1] => 3
[4,3,2,1,5,8,7,6] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,3,2,1,5,7,8,6] => [1,2,2,3] => [3,2,2,1] => 4
[3,2,4,1,5,8,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[3,2,4,1,5,7,8,6] => [2,3,3] => [3,3,2] => 3
[2,3,4,1,5,8,7,6] => [5,2,1] => [5,2,1] => 3
[2,3,4,1,5,7,8,6] => [5,3] => [5,3] => 2
[3,2,1,4,5,8,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[2,3,1,4,5,7,8,6] => [5,3] => [5,3] => 2
[1,2,3,4,5,8,7,6] => [5,2,1] => [5,2,1] => 3
[1,2,3,4,5,7,8,6] => [5,3] => [5,3] => 2
[6,5,4,3,2,1,8,7] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 6
[5,6,4,3,2,1,8,7] => [2,2,1,1,2] => [2,2,2,1,1] => 5
[4,5,6,3,2,1,8,7] => [4,1,1,2] => [4,2,1,1] => 4
[3,6,5,4,2,1,8,7] => [2,2,1,1,2] => [2,2,2,1,1] => 5
[4,3,6,5,2,1,8,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[5,4,3,6,2,1,8,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[4,5,3,6,2,1,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[4,3,5,6,2,1,8,7] => [1,4,1,2] => [4,2,1,1] => 4
[2,3,6,5,4,1,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[2,4,3,6,5,1,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[5,4,3,2,6,1,8,7] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,5,3,2,6,1,8,7] => [3,1,2,2] => [3,2,2,1] => 4
[4,3,5,2,6,1,8,7] => [1,3,2,2] => [3,2,2,1] => 4
[3,2,5,4,6,1,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[4,3,2,5,6,1,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[2,3,4,5,6,1,8,7] => [6,2] => [6,2] => 2
[1,5,6,4,3,2,8,7] => [1,3,1,1,2] => [3,2,1,1,1] => 5
[2,1,6,5,4,3,8,7] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[2,1,5,6,4,3,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[2,1,4,6,5,3,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[2,1,5,4,6,3,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,4,5,6,3,8,7] => [2,4,2] => [4,2,2] => 3
[4,3,2,1,6,5,8,7] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[3,4,2,1,6,5,8,7] => [3,1,2,2] => [3,2,2,1] => 4
[2,4,3,1,6,5,8,7] => [3,1,2,2] => [3,2,2,1] => 4
[3,2,4,1,6,5,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[2,3,4,1,6,5,8,7] => [4,2,2] => [4,2,2] => 3
[2,1,4,3,6,5,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[5,4,3,2,1,6,8,7] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[2,1,5,4,3,6,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[4,3,2,1,5,6,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[3,2,4,1,5,6,8,7] => [2,4,2] => [4,2,2] => 3
[2,3,4,1,5,6,8,7] => [6,2] => [6,2] => 2
[2,1,3,4,5,6,8,7] => [6,2] => [6,2] => 2
[1,2,3,4,5,6,8,7] => [6,2] => [6,2] => 2
[5,7,6,4,3,2,1,8] => [2,2,1,1,2] => [2,2,2,1,1] => 5
[4,7,6,5,3,2,1,8] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[3,4,7,6,5,2,1,8] => [3,2,1,2] => [3,2,2,1] => 4
[3,2,7,6,5,4,1,8] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[3,2,6,7,5,4,1,8] => [2,3,1,2] => [3,2,2,1] => 4
[5,4,3,2,7,6,1,8] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,5,3,2,7,6,1,8] => [3,1,2,2] => [3,2,2,1] => 4
[3,5,4,2,7,6,1,8] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,5,4,7,6,1,8] => [2,2,2,2] => [2,2,2,2] => 4
[2,3,4,5,7,6,1,8] => [6,2] => [6,2] => 2
[3,5,4,2,6,7,1,8] => [2,2,4] => [4,2,2] => 3
[1,3,4,6,7,5,2,8] => [1,5,2] => [5,2,1] => 3
[1,3,4,5,7,6,2,8] => [1,5,2] => [5,2,1] => 3
[2,1,6,7,5,4,3,8] => [2,3,1,2] => [3,2,2,1] => 4
[2,3,1,5,6,7,4,8] => [3,5] => [5,3] => 2
[4,3,2,1,7,6,5,8] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,3,2,1,6,7,5,8] => [1,2,1,4] => [4,2,1,1] => 4
[3,2,4,1,7,6,5,8] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,4,1,6,7,5,8] => [2,2,4] => [4,2,2] => 3
[2,3,4,1,7,6,5,8] => [4,2,2] => [4,2,2] => 3
[2,3,4,1,6,7,5,8] => [4,4] => [4,4] => 2
[1,4,3,2,7,6,5,8] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[1,3,4,2,6,7,5,8] => [1,3,4] => [4,3,1] => 3
[3,2,1,4,7,6,5,8] => [2,2,2,2] => [2,2,2,2] => 4
[5,4,3,2,1,7,6,8] => [1,2,1,1,3] => [3,2,1,1,1] => 5
[3,2,1,5,4,7,6,8] => [2,1,2,3] => [3,2,2,1] => 4
[2,3,1,5,4,7,6,8] => [3,2,3] => [3,3,2] => 3
[1,3,2,5,4,7,6,8] => [1,2,2,3] => [3,2,2,1] => 4
[1,2,3,5,4,7,6,8] => [3,2,3] => [3,3,2] => 3
[4,3,2,1,5,7,6,8] => [1,2,2,3] => [3,2,2,1] => 4
[3,2,4,1,5,7,6,8] => [2,3,3] => [3,3,2] => 3
[2,3,4,1,5,7,6,8] => [5,3] => [5,3] => 2
[1,3,2,4,5,7,6,8] => [1,4,3] => [4,3,1] => 3
[1,2,3,4,5,7,6,8] => [5,3] => [5,3] => 2
[2,3,4,6,5,1,7,8] => [5,3] => [5,3] => 2
[1,2,4,6,5,3,7,8] => [2,3,3] => [3,3,2] => 3
[4,3,2,1,6,5,7,8] => [1,2,1,4] => [4,2,1,1] => 4
[3,2,4,1,6,5,7,8] => [2,2,4] => [4,2,2] => 3
[2,3,4,1,6,5,7,8] => [4,4] => [4,4] => 2
[1,2,4,3,6,5,7,8] => [2,2,4] => [4,2,2] => 3
[3,2,5,4,1,6,7,8] => [2,2,4] => [4,2,2] => 3
[1,3,2,5,4,6,7,8] => [1,2,5] => [5,2,1] => 3
[1,2,3,5,4,6,7,8] => [3,5] => [5,3] => 2
[1,3,2,4,5,6,7,8] => [1,7] => [7,1] => 2
[1,2,3,4,8,6,7,5] => [4,3,1] => [4,3,1] => 3
[1,2,3,5,8,6,7,4] => [3,4,1] => [4,3,1] => 3
[1,2,3,7,5,6,8,4] => [3,3,2] => [3,3,2] => 3
[1,2,3,8,5,6,7,4] => [3,4,1] => [4,3,1] => 3
[1,2,3,8,5,7,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[1,2,3,8,6,5,7,4] => [3,1,3,1] => [3,3,1,1] => 4
[1,2,3,8,6,7,5,4] => [3,1,3,1] => [3,3,1,1] => 4
[1,2,4,5,8,6,7,3] => [2,5,1] => [5,2,1] => 3
[1,2,4,8,6,5,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[1,2,6,4,5,7,8,3] => [2,3,3] => [3,3,2] => 3
[1,2,8,5,4,6,7,3] => [2,1,4,1] => [4,2,1,1] => 4
[1,3,2,8,6,5,7,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[1,3,7,4,5,6,2,8] => [1,5,2] => [5,2,1] => 3
[1,3,8,5,4,6,7,2] => [1,2,4,1] => [4,2,1,1] => 4
[1,3,8,5,6,7,4,2] => [1,2,4,1] => [4,2,1,1] => 4
[1,3,8,6,5,7,4,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,5,3,4,6,7,8,2] => [1,3,4] => [4,3,1] => 3
[1,6,3,5,4,8,7,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,8,4,3,5,6,7,2] => [1,1,5,1] => [5,1,1,1] => 4
[1,8,4,7,6,5,3,2] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[1,7,5,4,3,6,8,2] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[1,8,5,4,3,6,7,2] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[1,8,5,4,7,6,3,2] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[1,8,7,4,5,6,3,2] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[1,8,7,4,6,5,3,2] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[1,8,6,5,4,7,3,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 6
[1,8,7,5,4,6,3,2] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 6
[1,8,7,5,6,4,3,2] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 6
[2,1,3,8,5,7,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[2,1,4,3,8,6,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[2,1,4,5,8,6,7,3] => [2,5,1] => [5,2,1] => 3
[2,1,6,4,5,3,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[2,1,7,4,6,5,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,8,5,4,7,6,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,1,8,7,5,6,4,3] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[2,3,1,8,6,7,5,4] => [3,1,3,1] => [3,3,1,1] => 4
[2,3,4,1,8,6,7,5] => [4,3,1] => [4,3,1] => 3
[2,3,4,8,5,6,7,1] => [7,1] => [7,1] => 2
[2,3,4,8,5,7,6,1] => [5,2,1] => [5,2,1] => 3
[2,3,4,8,6,5,7,1] => [4,3,1] => [4,3,1] => 3
[2,3,4,8,6,7,5,1] => [4,3,1] => [4,3,1] => 3
[2,3,6,4,5,1,8,7] => [5,1,2] => [5,2,1] => 3
[2,3,7,4,5,6,8,1] => [6,2] => [6,2] => 2
[2,5,3,4,1,8,7,6] => [4,1,2,1] => [4,2,1,1] => 4
[2,5,3,4,8,6,7,1] => [4,3,1] => [4,3,1] => 3
[2,8,3,4,5,6,7,1] => [7,1] => [7,1] => 2
[2,8,3,5,4,7,6,1] => [3,2,2,1] => [3,2,2,1] => 4
[2,8,3,5,7,6,4,1] => [3,3,1,1] => [3,3,1,1] => 4
[2,5,4,3,8,6,7,1] => [2,2,3,1] => [3,2,2,1] => 4
[2,8,4,3,5,7,6,1] => [2,3,2,1] => [3,2,2,1] => 4
[3,2,1,5,8,6,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[3,2,1,7,5,6,4,8] => [2,1,3,2] => [3,2,2,1] => 4
[3,2,1,7,5,6,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[3,2,1,8,5,6,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[3,2,1,8,5,7,6,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[3,2,1,8,6,5,7,4] => [2,1,1,3,1] => [3,2,1,1,1] => 5
[3,2,1,8,6,7,5,4] => [2,1,1,3,1] => [3,2,1,1,1] => 5
[3,2,4,1,8,6,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,7,4,6,5,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,7,5,4,6,1,8] => [2,1,3,2] => [3,2,2,1] => 4
[4,2,3,1,6,5,8,7] => [3,1,2,2] => [3,2,2,1] => 4
[4,2,3,1,6,7,8,5] => [3,1,4] => [4,3,1] => 3
[4,2,3,1,7,6,8,5] => [3,1,2,2] => [3,2,2,1] => 4
[4,2,3,1,8,6,7,5] => [3,1,3,1] => [3,3,1,1] => 4
[4,2,3,1,8,7,6,5] => [3,1,1,2,1] => [3,2,1,1,1] => 5
[4,2,3,5,1,8,7,6] => [3,2,2,1] => [3,2,2,1] => 4
[4,2,3,7,5,6,8,1] => [3,3,2] => [3,3,2] => 3
[4,2,3,7,6,5,8,1] => [3,1,2,2] => [3,2,2,1] => 4
[4,2,3,8,7,6,5,1] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[5,2,3,4,1,8,7,6] => [4,1,2,1] => [4,2,1,1] => 4
[7,2,3,4,6,5,1,8] => [4,2,2] => [4,2,2] => 3
[6,2,3,5,4,1,7,8] => [3,2,3] => [3,3,2] => 3
[7,2,3,6,5,4,1,8] => [3,2,1,2] => [3,2,2,1] => 4
[5,2,4,3,1,6,7,8] => [2,2,4] => [4,2,2] => 3
[5,2,4,3,1,7,6,8] => [2,2,1,3] => [3,2,2,1] => 4
[5,2,4,3,1,8,7,6] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[5,2,4,3,6,1,7,8] => [2,2,4] => [4,2,2] => 3
[5,2,4,3,6,1,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[5,2,4,3,7,6,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[7,2,4,3,6,5,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[8,2,7,4,6,5,3,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[4,3,2,1,8,6,7,5] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[4,3,2,7,5,6,8,1] => [1,2,3,2] => [3,2,2,1] => 4
[4,3,2,8,5,7,6,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,3,2,4,1,6,8,7] => [1,3,2,2] => [3,2,2,1] => 4
[5,3,2,4,1,8,7,6] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[6,3,2,5,4,1,8,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[8,3,2,5,4,7,6,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,3,2,7,6,5,4,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[5,3,4,2,1,7,8,6] => [1,3,1,3] => [3,3,1,1] => 4
[5,3,4,2,1,8,7,6] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[8,3,7,4,6,5,2,1] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[7,3,6,5,4,2,1,8] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[5,4,3,2,8,6,7,1] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[7,4,3,6,5,2,1,8] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[6,5,3,4,2,1,8,7] => [1,3,1,1,2] => [3,2,1,1,1] => 5
[7,6,3,5,4,2,1,8] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[8,7,3,5,4,6,2,1] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[8,7,3,6,5,4,2,1] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 6
[8,5,4,3,2,7,6,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[8,7,4,3,6,5,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[2,4,1,3,6,5,8,7] => [4,2,2] => [4,2,2] => 3
[2,1,4,6,3,5,8,7] => [2,4,2] => [4,2,2] => 3
[2,4,1,6,3,5,8,7] => [3,3,2] => [3,3,2] => 3
[2,4,6,1,3,5,8,7] => [6,2] => [6,2] => 2
[2,1,4,3,6,8,5,7] => [2,2,4] => [4,2,2] => 3
[2,4,1,3,6,8,5,7] => [4,4] => [4,4] => 2
[2,1,4,6,3,8,5,7] => [2,3,3] => [3,3,2] => 3
[2,4,1,6,3,8,5,7] => [3,2,3] => [3,3,2] => 3
[2,4,6,1,3,8,5,7] => [5,3] => [5,3] => 2
[2,1,4,6,8,3,5,7] => [2,6] => [6,2] => 2
[2,4,1,6,8,3,5,7] => [3,5] => [5,3] => 2
[2,4,6,1,8,3,5,7] => [4,4] => [4,4] => 2
[2,4,6,8,1,3,5,7] => [8] => [8] => 1
[2,4,1,6,3,7,5,8] => [3,2,3] => [3,3,2] => 3
[2,4,1,3,6,7,8,5] => [4,4] => [4,4] => 2
[2,4,1,6,3,7,8,5] => [3,2,3] => [3,3,2] => 3
[2,4,1,6,7,3,8,5] => [3,3,2] => [3,3,2] => 3
[2,4,6,1,7,3,8,5] => [4,2,2] => [4,2,2] => 3
[2,4,1,6,7,8,3,5] => [3,5] => [5,3] => 2
[2,4,6,7,1,8,3,5] => [5,3] => [5,3] => 2
[2,1,4,3,7,5,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[2,4,1,3,7,5,8,6] => [4,2,2] => [4,2,2] => 3
[2,4,7,1,3,5,8,6] => [6,2] => [6,2] => 2
[2,1,4,3,7,8,5,6] => [2,2,4] => [4,2,2] => 3
[2,4,1,3,7,8,5,6] => [4,4] => [4,4] => 2
[2,4,7,1,3,8,5,6] => [5,3] => [5,3] => 2
[2,4,7,8,1,3,5,6] => [8] => [8] => 1
[2,4,1,5,3,7,6,8] => [3,2,3] => [3,3,2] => 3
[2,1,4,5,7,3,8,6] => [2,4,2] => [4,2,2] => 3
[2,4,5,7,1,3,8,6] => [6,2] => [6,2] => 2
[2,1,4,3,8,5,6,7] => [2,2,4] => [4,2,2] => 3
[2,4,1,3,8,5,6,7] => [4,4] => [4,4] => 2
[2,4,1,5,3,8,6,7] => [3,2,3] => [3,3,2] => 3
[2,1,4,5,8,3,6,7] => [2,6] => [6,2] => 2
[2,4,5,1,8,3,6,7] => [4,4] => [4,4] => 2
[2,4,1,5,3,6,8,7] => [3,3,2] => [3,3,2] => 3
[2,4,1,5,6,3,8,7] => [3,3,2] => [3,3,2] => 3
[2,4,1,5,3,6,7,8] => [3,5] => [5,3] => 2
[2,4,1,5,6,3,7,8] => [3,5] => [5,3] => 2
[2,4,1,5,6,7,8,3] => [3,5] => [5,3] => 2
[2,4,5,6,1,7,8,3] => [5,3] => [5,3] => 2
[2,4,5,6,7,1,8,3] => [6,2] => [6,2] => 2
[2,4,5,6,7,8,1,3] => [8] => [8] => 1
[2,1,5,3,6,4,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,5,6,3,4,8,7] => [2,4,2] => [4,2,2] => 3
[2,5,6,8,1,3,4,7] => [8] => [8] => 1
[2,5,1,6,7,3,4,8] => [3,5] => [5,3] => 2
[2,5,1,6,7,3,8,4] => [3,3,2] => [3,3,2] => 3
[2,1,5,6,7,8,3,4] => [2,6] => [6,2] => 2
[2,5,1,6,7,8,3,4] => [3,5] => [5,3] => 2
[2,5,6,1,7,8,3,4] => [4,4] => [4,4] => 2
[2,5,6,7,8,1,3,4] => [8] => [8] => 1
[2,1,5,3,7,4,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[2,5,1,7,3,4,8,6] => [3,3,2] => [3,3,2] => 3
[2,5,1,3,7,8,4,6] => [4,4] => [4,4] => 2
[2,1,5,7,3,8,4,6] => [2,3,3] => [3,3,2] => 3
[2,1,5,7,8,3,4,6] => [2,6] => [6,2] => 2
[2,5,7,1,8,3,4,6] => [4,4] => [4,4] => 2
[2,5,7,8,1,3,4,6] => [8] => [8] => 1
[2,3,5,1,7,4,8,6] => [4,2,2] => [4,2,2] => 3
[2,3,5,1,6,4,7,8] => [4,4] => [4,4] => 2
[2,3,5,1,6,7,8,4] => [4,4] => [4,4] => 2
[2,3,5,6,1,7,8,4] => [5,3] => [5,3] => 2
[2,3,5,6,7,8,1,4] => [8] => [8] => 1
[2,1,6,3,7,4,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[2,6,1,3,7,4,8,5] => [4,2,2] => [4,2,2] => 3
[2,6,7,1,3,4,8,5] => [6,2] => [6,2] => 2
[2,1,6,3,7,8,4,5] => [2,2,4] => [4,2,2] => 3
[2,6,1,7,3,8,4,5] => [3,2,3] => [3,3,2] => 3
[2,1,6,7,8,3,4,5] => [2,6] => [6,2] => 2
[2,6,7,8,1,3,4,5] => [8] => [8] => 1
[2,1,6,3,7,4,5,8] => [2,2,4] => [4,2,2] => 3
[2,3,1,6,4,7,5,8] => [3,2,3] => [3,3,2] => 3
[2,3,6,1,4,7,5,8] => [5,3] => [5,3] => 2
[2,1,6,3,4,7,8,5] => [2,3,3] => [3,3,2] => 3
[2,1,3,6,7,8,4,5] => [3,5] => [5,3] => 2
[2,3,1,6,7,8,4,5] => [3,5] => [5,3] => 2
[2,3,6,1,7,8,4,5] => [4,4] => [4,4] => 2
[2,1,6,3,4,8,5,7] => [2,3,3] => [3,3,2] => 3
[2,3,1,6,4,8,5,7] => [3,2,3] => [3,3,2] => 3
[2,3,1,6,8,4,5,7] => [3,5] => [5,3] => 2
[2,3,6,1,8,4,5,7] => [4,4] => [4,4] => 2
[2,1,6,3,4,5,8,7] => [2,4,2] => [4,2,2] => 3
[2,3,6,1,4,5,8,7] => [6,2] => [6,2] => 2
[2,3,4,1,6,8,5,7] => [4,4] => [4,4] => 2
[2,6,1,3,4,5,7,8] => [8] => [8] => 1
[2,3,4,6,1,7,5,8] => [5,3] => [5,3] => 2
[2,3,4,6,7,8,1,5] => [8] => [8] => 1
[2,1,7,8,3,4,5,6] => [2,6] => [6,2] => 2
[2,7,1,8,3,4,5,6] => [3,5] => [5,3] => 2
[2,7,8,1,3,4,5,6] => [8] => [8] => 1
[2,3,1,7,4,8,5,6] => [3,2,3] => [3,3,2] => 3
[2,3,7,1,4,8,5,6] => [5,3] => [5,3] => 2
[2,3,7,8,1,4,5,6] => [8] => [8] => 1
[2,3,4,1,7,5,8,6] => [4,2,2] => [4,2,2] => 3
[2,3,1,4,7,8,5,6] => [4,4] => [4,4] => 2
[2,3,4,1,7,8,5,6] => [4,4] => [4,4] => 2
[2,3,4,7,1,8,5,6] => [5,3] => [5,3] => 2
[2,7,1,3,4,5,6,8] => [8] => [8] => 1
[2,3,4,1,7,5,6,8] => [4,4] => [4,4] => 2
[2,3,4,5,7,1,8,6] => [6,2] => [6,2] => 2
[2,3,4,5,7,8,1,6] => [8] => [8] => 1
[2,1,8,3,4,5,6,7] => [2,6] => [6,2] => 2
[2,8,1,3,4,5,6,7] => [8] => [8] => 1
[2,1,3,8,4,5,6,7] => [3,5] => [5,3] => 2
[2,1,3,4,8,5,6,7] => [4,4] => [4,4] => 2
[2,3,1,4,8,5,6,7] => [4,4] => [4,4] => 2
[2,3,4,1,8,5,6,7] => [4,4] => [4,4] => 2
[2,3,4,8,1,5,6,7] => [8] => [8] => 1
[2,3,4,1,5,8,6,7] => [5,3] => [5,3] => 2
[2,3,4,5,1,8,6,7] => [5,3] => [5,3] => 2
[2,3,4,5,8,1,6,7] => [8] => [8] => 1
[2,3,4,5,6,8,1,7] => [8] => [8] => 1
[3,1,4,2,6,5,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[3,4,1,2,6,5,8,7] => [4,2,2] => [4,2,2] => 3
[3,1,4,2,6,8,5,7] => [2,2,4] => [4,2,2] => 3
[3,4,1,2,6,8,5,7] => [4,4] => [4,4] => 2
[3,1,4,6,8,2,5,7] => [2,6] => [6,2] => 2
[3,4,6,8,1,2,5,7] => [8] => [8] => 1
[3,4,6,1,2,7,5,8] => [5,3] => [5,3] => 2
[3,4,6,7,1,2,5,8] => [8] => [8] => 1
[3,1,4,2,6,7,8,5] => [2,2,4] => [4,2,2] => 3
[3,4,1,2,6,7,8,5] => [4,4] => [4,4] => 2
[3,4,6,1,2,7,8,5] => [5,3] => [5,3] => 2
[3,4,6,1,7,2,8,5] => [4,2,2] => [4,2,2] => 3
[3,4,6,7,1,2,8,5] => [6,2] => [6,2] => 2
[3,4,6,1,7,8,2,5] => [4,4] => [4,4] => 2
[3,4,6,7,1,8,2,5] => [5,3] => [5,3] => 2
[3,1,4,2,7,5,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[3,4,1,2,7,8,5,6] => [4,4] => [4,4] => 2
[3,4,7,1,8,2,5,6] => [4,4] => [4,4] => 2
[3,4,7,8,1,2,5,6] => [8] => [8] => 1
[3,4,5,7,1,2,8,6] => [6,2] => [6,2] => 2
[3,1,4,2,8,5,6,7] => [2,2,4] => [4,2,2] => 3
[3,4,1,2,8,5,6,7] => [4,4] => [4,4] => 2
[3,4,1,5,8,2,6,7] => [3,5] => [5,3] => 2
[3,4,5,8,1,2,6,7] => [8] => [8] => 1
[3,1,4,2,5,6,7,8] => [2,6] => [6,2] => 2
[3,1,4,5,6,7,8,2] => [2,6] => [6,2] => 2
[3,4,1,5,6,7,8,2] => [3,5] => [5,3] => 2
[3,4,5,6,7,1,8,2] => [6,2] => [6,2] => 2
[3,1,5,2,6,4,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[3,5,1,6,2,4,8,7] => [3,3,2] => [3,3,2] => 3
[3,5,6,1,2,4,8,7] => [6,2] => [6,2] => 2
[3,5,1,2,6,8,4,7] => [4,4] => [4,4] => 2
[3,1,5,6,2,8,4,7] => [2,3,3] => [3,3,2] => 3
[3,5,6,1,8,2,4,7] => [4,4] => [4,4] => 2
[3,5,6,8,1,2,4,7] => [8] => [8] => 1
[3,5,6,1,7,2,4,8] => [4,4] => [4,4] => 2
[3,5,6,1,7,2,8,4] => [4,2,2] => [4,2,2] => 3
[3,5,6,1,7,8,2,4] => [4,4] => [4,4] => 2
[3,5,6,7,8,1,2,4] => [8] => [8] => 1
[3,1,5,2,7,4,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,5,7,2,4,8,6] => [2,4,2] => [4,2,2] => 3
[3,1,5,7,2,8,4,6] => [2,3,3] => [3,3,2] => 3
[3,5,1,7,2,8,4,6] => [3,2,3] => [3,3,2] => 3
[3,5,1,7,8,2,4,6] => [3,5] => [5,3] => 2
[3,5,7,8,1,2,4,6] => [8] => [8] => 1
[3,1,5,2,7,4,6,8] => [2,2,4] => [4,2,2] => 3
[1,3,5,2,7,4,8,6] => [1,3,2,2] => [3,2,2,1] => 4
[3,1,5,2,8,4,6,7] => [2,2,4] => [4,2,2] => 3
[1,3,2,5,4,8,6,7] => [1,2,2,3] => [3,2,2,1] => 4
[1,3,2,5,8,4,6,7] => [1,2,5] => [5,2,1] => 3
[1,3,5,8,2,4,6,7] => [1,7] => [7,1] => 2
[1,3,5,2,6,8,4,7] => [1,3,4] => [4,3,1] => 3
[1,3,5,2,6,7,4,8] => [1,3,4] => [4,3,1] => 3
[1,3,5,6,2,7,4,8] => [1,4,3] => [4,3,1] => 3
[1,3,5,6,7,8,2,4] => [1,7] => [7,1] => 2
[3,1,6,2,7,4,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,6,1,7,2,4,8,5] => [3,3,2] => [3,3,2] => 3
[3,6,1,7,2,8,4,5] => [3,2,3] => [3,3,2] => 3
[3,6,7,1,2,8,4,5] => [5,3] => [5,3] => 2
[3,6,1,7,8,2,4,5] => [3,5] => [5,3] => 2
[3,6,7,8,1,2,4,5] => [8] => [8] => 1
[3,1,6,2,7,4,5,8] => [2,2,4] => [4,2,2] => 3
[3,1,6,7,2,4,5,8] => [2,6] => [6,2] => 2
[3,6,1,2,4,7,5,8] => [5,3] => [5,3] => 2
[1,3,2,6,4,7,5,8] => [1,2,2,3] => [3,2,2,1] => 4
[1,3,6,2,4,7,8,5] => [1,4,3] => [4,3,1] => 3
[3,1,2,6,7,4,8,5] => [3,3,2] => [3,3,2] => 3
[1,3,6,2,7,8,4,5] => [1,3,4] => [4,3,1] => 3
[3,1,6,2,8,4,5,7] => [2,2,4] => [4,2,2] => 3
[3,1,6,8,2,4,5,7] => [2,6] => [6,2] => 2
[1,3,2,6,4,8,5,7] => [1,2,2,3] => [3,2,2,1] => 4
[3,1,6,2,4,5,8,7] => [2,4,2] => [4,2,2] => 3
[3,1,6,2,4,5,7,8] => [2,6] => [6,2] => 2
[1,3,2,6,4,5,7,8] => [1,2,5] => [5,2,1] => 3
[3,1,2,4,6,7,8,5] => [4,4] => [4,4] => 2
[1,3,4,6,7,2,8,5] => [1,5,2] => [5,2,1] => 3
[3,1,7,8,2,4,5,6] => [2,6] => [6,2] => 2
[1,3,2,7,4,8,5,6] => [1,2,2,3] => [3,2,2,1] => 4
[1,3,7,2,8,4,5,6] => [1,3,4] => [4,3,1] => 3
[3,7,1,2,4,5,6,8] => [8] => [8] => 1
[1,3,2,7,4,5,6,8] => [1,2,5] => [5,2,1] => 3
[1,3,4,5,7,8,2,6] => [1,7] => [7,1] => 2
[3,1,8,2,4,5,6,7] => [2,6] => [6,2] => 2
[1,3,2,8,4,5,6,7] => [1,2,5] => [5,2,1] => 3
[3,1,2,4,8,5,6,7] => [4,4] => [4,4] => 2
[1,3,2,4,8,5,6,7] => [1,3,4] => [4,3,1] => 3
[1,3,4,2,8,5,6,7] => [1,3,4] => [4,3,1] => 3
[3,1,2,4,5,8,6,7] => [5,3] => [5,3] => 2
[1,3,2,4,5,8,6,7] => [1,4,3] => [4,3,1] => 3
[4,1,5,2,6,3,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[4,5,1,2,6,3,8,7] => [4,2,2] => [4,2,2] => 3
[4,5,6,1,2,3,8,7] => [6,2] => [6,2] => 2
[4,1,5,2,6,8,3,7] => [2,2,4] => [4,2,2] => 3
[4,5,1,6,2,8,3,7] => [3,2,3] => [3,3,2] => 3
[4,5,6,1,2,8,3,7] => [5,3] => [5,3] => 2
[4,1,5,6,8,2,3,7] => [2,6] => [6,2] => 2
[4,5,6,8,1,2,3,7] => [8] => [8] => 1
[4,5,1,6,2,7,3,8] => [3,2,3] => [3,3,2] => 3
[4,5,6,1,7,2,3,8] => [4,4] => [4,4] => 2
[4,5,6,7,1,2,8,3] => [6,2] => [6,2] => 2
[4,1,5,6,7,8,2,3] => [2,6] => [6,2] => 2
[4,5,6,7,1,8,2,3] => [5,3] => [5,3] => 2
[4,1,5,2,7,3,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[4,5,1,7,2,3,8,6] => [3,3,2] => [3,3,2] => 3
[4,1,5,2,7,8,3,6] => [2,2,4] => [4,2,2] => 3
[4,1,5,7,2,8,3,6] => [2,3,3] => [3,3,2] => 3
[4,5,1,7,2,8,3,6] => [3,2,3] => [3,3,2] => 3
[4,5,7,1,2,8,3,6] => [5,3] => [5,3] => 2
[4,5,1,7,8,2,3,6] => [3,5] => [5,3] => 2
[4,5,7,8,1,2,3,6] => [8] => [8] => 1
[4,5,1,2,7,3,6,8] => [4,4] => [4,4] => 2
[1,4,2,5,3,7,6,8] => [1,2,2,3] => [3,2,2,1] => 4
[4,1,2,5,7,3,6,8] => [3,5] => [5,3] => 2
[1,4,2,5,7,3,8,6] => [1,2,3,2] => [3,2,2,1] => 4
[1,4,5,2,7,3,8,6] => [1,3,2,2] => [3,2,2,1] => 4
[1,4,5,7,2,3,8,6] => [1,5,2] => [5,2,1] => 3
[1,4,2,5,7,8,3,6] => [1,2,5] => [5,2,1] => 3
[4,5,1,2,8,3,6,7] => [4,4] => [4,4] => 2
[1,4,2,5,3,8,6,7] => [1,2,2,3] => [3,2,2,1] => 4
[1,4,2,5,8,3,6,7] => [1,2,5] => [5,2,1] => 3
[4,1,2,5,6,3,8,7] => [3,3,2] => [3,3,2] => 3
[1,4,5,2,6,3,8,7] => [1,3,2,2] => [3,2,2,1] => 4
[1,4,2,5,3,6,7,8] => [1,2,5] => [5,2,1] => 3
[1,4,5,2,6,3,7,8] => [1,3,4] => [4,3,1] => 3
[1,4,2,5,6,7,3,8] => [1,2,5] => [5,2,1] => 3
[1,4,5,6,2,7,3,8] => [1,4,3] => [4,3,1] => 3
[1,4,5,6,7,2,3,8] => [1,7] => [7,1] => 2
[4,1,2,5,6,7,8,3] => [3,5] => [5,3] => 2
[1,4,2,5,6,7,8,3] => [1,2,5] => [5,2,1] => 3
[1,4,5,2,6,7,8,3] => [1,3,4] => [4,3,1] => 3
[1,4,5,6,7,8,2,3] => [1,7] => [7,1] => 2
[4,1,6,2,7,3,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[4,6,1,2,7,8,3,5] => [4,4] => [4,4] => 2
[4,6,7,1,8,2,3,5] => [4,4] => [4,4] => 2
[4,6,7,8,1,2,3,5] => [8] => [8] => 1
[4,6,1,7,2,3,5,8] => [3,5] => [5,3] => 2
[4,6,1,2,3,7,5,8] => [5,3] => [5,3] => 2
[1,4,2,6,3,7,5,8] => [1,2,2,3] => [3,2,2,1] => 4
[4,1,6,2,3,7,8,5] => [2,3,3] => [3,3,2] => 3
[4,1,2,6,7,3,8,5] => [3,3,2] => [3,3,2] => 3
[1,4,6,2,7,3,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[1,4,2,6,7,8,3,5] => [1,2,5] => [5,2,1] => 3
[1,4,6,2,7,8,3,5] => [1,3,4] => [4,3,1] => 3
[1,4,6,7,2,8,3,5] => [1,4,3] => [4,3,1] => 3
[4,1,6,2,8,3,5,7] => [2,2,4] => [4,2,2] => 3
[4,6,1,8,2,3,5,7] => [3,5] => [5,3] => 2
[4,1,2,6,3,8,5,7] => [3,2,3] => [3,3,2] => 3
[1,4,2,6,3,8,5,7] => [1,2,2,3] => [3,2,2,1] => 4
[4,1,2,3,6,5,8,7] => [4,2,2] => [4,2,2] => 3
[4,1,2,3,6,8,5,7] => [4,4] => [4,4] => 2
[4,6,1,2,3,5,7,8] => [8] => [8] => 1
[1,4,2,6,3,5,7,8] => [1,2,5] => [5,2,1] => 3
[4,1,2,3,6,5,7,8] => [4,4] => [4,4] => 2
[4,1,2,3,6,7,5,8] => [4,4] => [4,4] => 2
[4,1,2,3,6,7,8,5] => [4,4] => [4,4] => 2
[1,4,2,3,6,7,8,5] => [1,3,4] => [4,3,1] => 3
[1,2,4,6,7,8,3,5] => [2,6] => [6,2] => 2
[4,1,7,2,8,3,5,6] => [2,2,4] => [4,2,2] => 3
[4,7,1,2,8,3,5,6] => [4,4] => [4,4] => 2
[4,1,7,8,2,3,5,6] => [2,6] => [6,2] => 2
[4,7,1,8,2,3,5,6] => [3,5] => [5,3] => 2
[1,4,2,7,3,8,5,6] => [1,2,2,3] => [3,2,2,1] => 4
[4,1,2,7,8,3,5,6] => [3,5] => [5,3] => 2
[1,4,2,7,8,3,5,6] => [1,2,5] => [5,2,1] => 3
[1,4,7,8,2,3,5,6] => [1,7] => [7,1] => 2
[4,1,2,3,7,5,8,6] => [4,2,2] => [4,2,2] => 3
[4,1,2,3,7,8,5,6] => [4,4] => [4,4] => 2
[4,1,7,2,3,5,6,8] => [2,6] => [6,2] => 2
[4,7,1,2,3,5,6,8] => [8] => [8] => 1
[1,4,2,7,3,5,6,8] => [1,2,5] => [5,2,1] => 3
[4,1,2,3,7,5,6,8] => [4,4] => [4,4] => 2
[1,4,2,3,7,5,6,8] => [1,3,4] => [4,3,1] => 3
[4,1,2,3,5,7,6,8] => [5,3] => [5,3] => 2
[1,4,2,3,5,7,6,8] => [1,4,3] => [4,3,1] => 3
[4,1,2,3,5,7,8,6] => [5,3] => [5,3] => 2
[1,2,4,5,7,3,8,6] => [2,4,2] => [4,2,2] => 3
[4,8,1,2,3,5,6,7] => [8] => [8] => 1
[1,4,2,8,3,5,6,7] => [1,2,5] => [5,2,1] => 3
[4,1,2,3,8,5,6,7] => [4,4] => [4,4] => 2
[1,4,2,3,8,5,6,7] => [1,3,4] => [4,3,1] => 3
[1,2,4,3,8,5,6,7] => [2,2,4] => [4,2,2] => 3
[4,1,2,3,5,8,6,7] => [5,3] => [5,3] => 2
[1,4,2,3,5,8,6,7] => [1,4,3] => [4,3,1] => 3
[4,1,2,3,5,6,8,7] => [6,2] => [6,2] => 2
[1,4,2,3,5,6,7,8] => [1,7] => [7,1] => 2
[5,1,6,2,7,3,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[5,6,1,2,7,8,3,4] => [4,4] => [4,4] => 2
[1,5,2,6,3,7,4,8] => [1,2,2,3] => [3,2,2,1] => 4
[5,6,1,2,3,7,8,4] => [5,3] => [5,3] => 2
[1,5,6,7,8,2,3,4] => [1,7] => [7,1] => 2
[5,6,1,2,8,3,4,7] => [4,4] => [4,4] => 2
[5,6,8,1,2,3,4,7] => [8] => [8] => 1
[5,1,6,2,3,8,4,7] => [2,3,3] => [3,3,2] => 3
[5,6,1,2,3,8,4,7] => [5,3] => [5,3] => 2
[1,5,2,6,3,8,4,7] => [1,2,2,3] => [3,2,2,1] => 4
[1,5,6,2,3,8,4,7] => [1,4,3] => [4,3,1] => 3
[5,1,6,2,3,4,7,8] => [2,6] => [6,2] => 2
[1,5,2,6,3,4,7,8] => [1,2,5] => [5,2,1] => 3
[1,5,2,3,6,4,7,8] => [1,3,4] => [4,3,1] => 3
[1,2,5,3,6,4,7,8] => [2,2,4] => [4,2,2] => 3
[1,2,5,6,3,4,7,8] => [2,6] => [6,2] => 2
[1,2,5,3,6,7,4,8] => [2,2,4] => [4,2,2] => 3
[5,1,2,3,6,7,8,4] => [4,4] => [4,4] => 2
[1,5,2,3,6,7,8,4] => [1,3,4] => [4,3,1] => 3
[1,2,5,3,6,7,8,4] => [2,2,4] => [4,2,2] => 3
[1,2,5,6,3,7,8,4] => [2,3,3] => [3,3,2] => 3
[1,2,5,6,7,3,8,4] => [2,4,2] => [4,2,2] => 3
[1,2,5,6,7,8,3,4] => [2,6] => [6,2] => 2
[5,1,7,2,8,3,4,6] => [2,2,4] => [4,2,2] => 3
[5,7,1,2,8,3,4,6] => [4,4] => [4,4] => 2
[5,7,8,1,2,3,4,6] => [8] => [8] => 1
[1,5,2,7,3,8,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[1,5,7,2,8,3,4,6] => [1,3,4] => [4,3,1] => 3
[5,1,2,7,3,4,8,6] => [3,3,2] => [3,3,2] => 3
[5,7,1,2,3,4,6,8] => [8] => [8] => 1
[1,5,2,7,3,4,6,8] => [1,2,5] => [5,2,1] => 3
[1,5,2,3,7,4,6,8] => [1,3,4] => [4,3,1] => 3
[1,5,2,3,4,7,6,8] => [1,4,3] => [4,3,1] => 3
[5,1,2,8,3,4,6,7] => [3,5] => [5,3] => 2
[1,5,2,8,3,4,6,7] => [1,2,5] => [5,2,1] => 3
[1,5,8,2,3,4,6,7] => [1,7] => [7,1] => 2
[5,1,2,3,8,4,6,7] => [4,4] => [4,4] => 2
[1,2,5,3,8,4,6,7] => [2,2,4] => [4,2,2] => 3
[1,5,2,3,4,8,6,7] => [1,4,3] => [4,3,1] => 3
[1,2,3,5,4,8,6,7] => [3,2,3] => [3,3,2] => 3
[5,1,2,3,4,6,8,7] => [6,2] => [6,2] => 2
[1,5,2,3,4,6,7,8] => [1,7] => [7,1] => 2
[6,1,7,8,2,3,4,5] => [2,6] => [6,2] => 2
[6,7,1,8,2,3,4,5] => [3,5] => [5,3] => 2
[1,6,2,7,3,8,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[1,6,7,2,8,3,4,5] => [1,3,4] => [4,3,1] => 3
[1,6,7,8,2,3,4,5] => [1,7] => [7,1] => 2
[6,7,1,2,3,4,8,5] => [6,2] => [6,2] => 2
[6,1,2,3,7,8,4,5] => [4,4] => [4,4] => 2
[6,1,7,2,3,4,5,8] => [2,6] => [6,2] => 2
[6,1,2,7,3,4,5,8] => [3,5] => [5,3] => 2
[1,6,2,7,3,4,5,8] => [1,2,5] => [5,2,1] => 3
[1,6,7,2,3,4,5,8] => [1,7] => [7,1] => 2
[1,2,6,3,7,4,5,8] => [2,2,4] => [4,2,2] => 3
[1,6,2,3,4,7,5,8] => [1,4,3] => [4,3,1] => 3
[1,2,3,6,4,7,5,8] => [3,2,3] => [3,3,2] => 3
[6,1,2,3,4,7,8,5] => [5,3] => [5,3] => 2
[1,2,6,3,4,7,8,5] => [2,3,3] => [3,3,2] => 3
[1,2,3,6,4,7,8,5] => [3,2,3] => [3,3,2] => 3
[1,2,3,6,7,4,8,5] => [3,3,2] => [3,3,2] => 3
[6,1,8,2,3,4,5,7] => [2,6] => [6,2] => 2
[6,1,2,8,3,4,5,7] => [3,5] => [5,3] => 2
[1,6,2,8,3,4,5,7] => [1,2,5] => [5,2,1] => 3
[1,6,8,2,3,4,5,7] => [1,7] => [7,1] => 2
[1,6,2,3,4,8,5,7] => [1,4,3] => [4,3,1] => 3
[1,2,6,3,4,8,5,7] => [2,3,3] => [3,3,2] => 3
[1,2,3,6,4,8,5,7] => [3,2,3] => [3,3,2] => 3
[6,1,2,3,4,5,8,7] => [6,2] => [6,2] => 2
[1,6,2,3,4,5,7,8] => [1,7] => [7,1] => 2
[1,2,3,6,4,5,7,8] => [3,5] => [5,3] => 2
[7,1,8,2,3,4,5,6] => [2,6] => [6,2] => 2
[7,1,2,8,3,4,5,6] => [3,5] => [5,3] => 2
[1,7,2,8,3,4,5,6] => [1,2,5] => [5,2,1] => 3
[1,7,8,2,3,4,5,6] => [1,7] => [7,1] => 2
[1,7,2,3,8,4,5,6] => [1,3,4] => [4,3,1] => 3
[7,1,2,3,4,8,5,6] => [5,3] => [5,3] => 2
[1,7,2,3,4,8,5,6] => [1,4,3] => [4,3,1] => 3
[1,2,3,7,4,8,5,6] => [3,2,3] => [3,3,2] => 3
[7,1,2,3,4,5,8,6] => [6,2] => [6,2] => 2
[1,7,2,3,4,5,8,6] => [1,5,2] => [5,2,1] => 3
[1,2,7,3,4,5,8,6] => [2,4,2] => [4,2,2] => 3
[1,2,3,7,4,5,8,6] => [3,3,2] => [3,3,2] => 3
[1,2,3,4,7,5,8,6] => [4,2,2] => [4,2,2] => 3
[1,2,3,4,7,8,5,6] => [4,4] => [4,4] => 2
[1,7,2,3,4,5,6,8] => [1,7] => [7,1] => 2
[1,2,3,7,4,5,6,8] => [3,5] => [5,3] => 2
[1,8,2,3,4,5,6,7] => [1,7] => [7,1] => 2
[1,2,3,8,4,5,6,7] => [3,5] => [5,3] => 2
[1,2,3,4,8,5,6,7] => [4,4] => [4,4] => 2
[1,2,3,4,5,8,6,7] => [5,3] => [5,3] => 2
[5,3,2,6,1,4,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[7,3,2,5,4,8,1,6] => [1,2,2,3] => [3,2,2,1] => 4
[8,4,5,2,3,7,6,1] => [1,4,2,1] => [4,2,1,1] => 4
[7,4,5,2,3,8,1,6] => [1,4,3] => [4,3,1] => 3
[6,4,5,2,3,1,8,7] => [1,4,1,2] => [4,2,1,1] => 4
[5,4,6,2,1,3,8,7] => [1,3,2,2] => [3,2,2,1] => 4
[3,6,1,5,4,2,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[4,6,5,1,3,2,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[5,6,4,3,1,2,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[7,5,4,3,2,8,1,6] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[8,6,4,3,7,2,5,1] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[7,6,4,3,8,2,1,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[6,7,4,3,8,1,2,5] => [2,2,4] => [4,2,2] => 3
[5,7,4,3,1,8,2,6] => [2,2,1,3] => [3,2,2,1] => 4
[4,7,5,1,3,8,2,6] => [2,3,3] => [3,3,2] => 3
[3,7,1,5,4,8,2,6] => [3,2,3] => [3,3,2] => 3
[2,1,7,5,4,8,3,6] => [2,1,2,3] => [3,2,2,1] => 4
[3,8,1,5,4,7,6,2] => [3,2,2,1] => [3,2,2,1] => 4
[4,8,5,1,3,7,6,2] => [2,3,2,1] => [3,2,2,1] => 4
[5,8,4,3,1,7,6,2] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[6,8,4,3,7,1,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[7,8,4,3,6,5,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[6,8,5,7,3,1,4,2] => [2,3,2,1] => [3,2,2,1] => 4
[5,8,6,7,1,3,4,2] => [2,5,1] => [5,2,1] => 3
[4,8,6,1,7,3,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[3,8,1,6,7,4,5,2] => [3,4,1] => [4,3,1] => 3
[2,1,8,6,7,4,5,3] => [2,1,4,1] => [4,2,1,1] => 4
[2,1,7,6,8,4,3,5] => [2,1,3,2] => [3,2,2,1] => 4
[3,7,1,6,8,4,2,5] => [3,3,2] => [3,3,2] => 3
[4,7,6,1,8,3,2,5] => [2,2,2,2] => [2,2,2,2] => 4
[5,7,6,8,1,3,2,4] => [2,4,2] => [4,2,2] => 3
[5,4,7,2,1,8,3,6] => [1,3,1,3] => [3,3,1,1] => 4
[6,4,7,2,8,1,3,5] => [1,3,4] => [4,3,1] => 3
[7,4,6,2,8,3,1,5] => [1,3,2,2] => [3,2,2,1] => 4
[8,4,6,2,7,3,5,1] => [1,3,3,1] => [3,3,1,1] => 4
[8,3,2,6,7,4,5,1] => [1,2,4,1] => [4,2,1,1] => 4
[7,3,2,6,8,4,1,5] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,2,7,8,1,4,5] => [1,2,5] => [5,2,1] => 3
[5,3,2,7,1,8,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,2,1,7,8,5,6] => [1,2,1,4] => [4,2,1,1] => 4
[3,4,1,2,8,7,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[5,3,2,8,1,7,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,3,2,8,7,1,5,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[7,3,2,8,6,5,1,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[8,4,7,2,6,5,3,1] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[7,4,8,2,6,5,1,3] => [1,3,2,2] => [3,2,2,1] => 4
[6,4,8,2,7,1,5,3] => [1,3,3,1] => [3,3,1,1] => 4
[5,4,8,2,1,7,6,3] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[4,5,8,1,2,7,6,3] => [5,2,1] => [5,2,1] => 3
[3,5,1,8,2,7,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[2,1,5,8,3,7,6,4] => [2,3,2,1] => [3,2,2,1] => 4
[2,1,6,8,7,3,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[3,6,1,8,7,2,5,4] => [3,1,3,1] => [3,3,1,1] => 4
[4,6,8,1,7,2,5,3] => [4,3,1] => [4,3,1] => 3
[5,6,8,7,1,2,4,3] => [3,4,1] => [4,3,1] => 3
[6,5,8,7,2,1,4,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[7,5,8,6,2,4,1,3] => [1,2,3,2] => [3,2,2,1] => 4
[8,5,7,6,2,4,3,1] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[5,7,8,6,1,4,2,3] => [3,3,2] => [3,3,2] => 3
[4,7,8,1,6,5,2,3] => [4,2,2] => [4,2,2] => 3
[3,7,1,8,6,5,2,4] => [3,1,2,2] => [3,2,2,1] => 4
[2,1,7,8,6,5,3,4] => [2,2,2,2] => [2,2,2,2] => 4
[3,8,1,7,6,5,4,2] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[4,8,7,1,6,5,3,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[5,8,7,6,1,4,3,2] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[6,8,7,5,4,1,3,2] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,1,4,3,6,5,8,7,10,9] => [2,2,2,2,2] => [2,2,2,2,2] => 5
[4,3,2,1,6,5,8,7,10,9] => [1,2,1,2,2,2] => [2,2,2,2,1,1] => 6
[6,3,2,5,4,1,8,7,10,9] => [1,2,2,1,2,2] => [2,2,2,2,1,1] => 6
[8,3,2,5,4,7,6,1,10,9] => [1,2,2,2,1,2] => [2,2,2,2,1,1] => 6
[10,3,2,5,4,7,6,9,8,1] => [1,2,2,2,2,1] => [2,2,2,2,1,1] => 6
[2,1,6,5,4,3,8,7,10,9] => [2,1,2,1,2,2] => [2,2,2,2,1,1] => 6
[6,5,4,3,2,1,8,7,10,9] => [1,1,2,1,1,2,2] => [2,2,2,1,1,1,1] => 7
[8,5,4,3,2,7,6,1,10,9] => [1,1,2,1,2,1,2] => [2,2,2,1,1,1,1] => 7
[10,5,4,3,2,7,6,9,8,1] => [1,1,2,1,2,2,1] => [2,2,2,1,1,1,1] => 7
[2,1,8,5,4,7,6,3,10,9] => [2,1,2,2,1,2] => [2,2,2,2,1,1] => 6
[8,7,4,3,6,5,2,1,10,9] => [1,1,2,2,1,1,2] => [2,2,2,1,1,1,1] => 7
[10,7,4,3,6,5,2,9,8,1] => [1,1,2,2,1,2,1] => [2,2,2,1,1,1,1] => 7
[2,1,10,5,4,7,6,9,8,3] => [2,1,2,2,2,1] => [2,2,2,2,1,1] => 6
[10,9,4,3,6,5,8,7,2,1] => [1,1,2,2,2,1,1] => [2,2,2,1,1,1,1] => 7
[8,9,5,6,3,4,10,1,2,7] => [2,4,4] => [4,4,2] => 3
[2,1,4,3,8,7,6,5,10,9] => [2,2,1,2,1,2] => [2,2,2,2,1,1] => 6
[4,3,2,1,8,7,6,5,10,9] => [1,2,1,1,2,1,2] => [2,2,2,1,1,1,1] => 7
[8,3,2,7,6,5,4,1,10,9] => [1,2,1,2,1,1,2] => [2,2,2,1,1,1,1] => 7
[10,3,2,7,6,5,4,9,8,1] => [1,2,1,2,1,2,1] => [2,2,2,1,1,1,1] => 7
[2,1,8,7,6,5,4,3,10,9] => [2,1,1,2,1,1,2] => [2,2,2,1,1,1,1] => 7
[8,7,6,5,4,3,2,1,10,9] => [1,1,1,2,1,1,1,2] => [2,2,1,1,1,1,1,1] => 8
[9,7,6,5,4,3,2,10,1,8] => [1,1,1,2,1,1,3] => [3,2,1,1,1,1,1] => 7
[10,7,6,5,4,3,2,9,8,1] => [1,1,1,2,1,1,2,1] => [2,2,1,1,1,1,1,1] => 8
[2,1,10,7,6,5,4,9,8,3] => [2,1,1,2,1,2,1] => [2,2,2,1,1,1,1] => 7
[10,9,6,5,4,3,8,7,2,1] => [1,1,1,2,1,2,1,1] => [2,2,1,1,1,1,1,1] => 8
[2,1,4,3,10,7,6,9,8,5] => [2,2,1,2,2,1] => [2,2,2,2,1,1] => 6
[4,3,2,1,10,7,6,9,8,5] => [1,2,1,1,2,2,1] => [2,2,2,1,1,1,1] => 7
[10,3,2,9,6,5,8,7,4,1] => [1,2,1,2,2,1,1] => [2,2,2,1,1,1,1] => 7
[2,1,10,9,6,5,8,7,4,3] => [2,1,1,2,2,1,1] => [2,2,2,1,1,1,1] => 7
[10,9,8,5,4,7,6,3,2,1] => [1,1,1,2,2,1,1,1] => [2,2,1,1,1,1,1,1] => 8
[6,7,8,9,10,1,2,3,4,5] => [10] => [10] => 1
[7,3,2,8,9,10,1,4,5,6] => [1,2,7] => [7,2,1] => 3
[8,5,4,3,2,9,10,1,6,7] => [1,1,2,1,5] => [5,2,1,1,1] => 5
[2,1,4,3,6,5,10,9,8,7] => [2,2,2,1,2,1] => [2,2,2,2,1,1] => 6
[4,3,2,1,6,5,10,9,8,7] => [1,2,1,2,1,2,1] => [2,2,2,1,1,1,1] => 7
[6,3,2,5,4,1,10,9,8,7] => [1,2,2,1,1,2,1] => [2,2,2,1,1,1,1] => 7
[10,3,2,5,4,9,8,7,6,1] => [1,2,2,1,2,1,1] => [2,2,2,1,1,1,1] => 7
[2,1,6,5,4,3,10,9,8,7] => [2,1,2,1,1,2,1] => [2,2,2,1,1,1,1] => 7
[6,5,4,3,2,1,10,9,8,7] => [1,1,2,1,1,1,2,1] => [2,2,1,1,1,1,1,1] => 8
[10,5,4,3,2,9,8,7,6,1] => [1,1,2,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 8
[2,1,10,5,4,9,8,7,6,3] => [2,1,2,1,2,1,1] => [2,2,2,1,1,1,1] => 7
[10,9,4,3,8,7,6,5,2,1] => [1,1,2,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 8
[9,7,5,10,3,8,2,6,1,4] => [1,1,3,3,2] => [3,3,2,1,1] => 5
[2,1,4,3,10,9,8,7,6,5] => [2,2,1,1,2,1,1] => [2,2,2,1,1,1,1] => 7
[4,3,2,1,10,9,8,7,6,5] => [1,2,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1] => 8
[10,3,2,9,8,7,6,5,4,1] => [1,2,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 8
[2,1,10,9,8,7,6,5,4,3] => [2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1] => 8
[10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 9
[4,2,5,1,3,6,7,8] => [2,6] => [6,2] => 2
[3,2,6,1,4,5,7,8] => [2,6] => [6,2] => 2
[6,3,5,1,2,4,7,8] => [1,7] => [7,1] => 2
[7,3,5,1,2,4,6,8] => [1,7] => [7,1] => 2
[6,2,8,1,3,4,5,7] => [2,6] => [6,2] => 2
[6,5,8,1,2,3,4,7] => [1,7] => [7,1] => 2
[7,5,8,1,2,3,4,6] => [1,7] => [7,1] => 2
[8,3,5,1,2,4,6,7] => [1,7] => [7,1] => 2
[8,3,7,1,2,4,5,6] => [1,7] => [7,1] => 2
[8,5,7,1,2,3,4,6] => [1,7] => [7,1] => 2
[5,2,6,7,1,3,4,8] => [2,6] => [6,2] => 2
[5,3,6,7,1,2,4,8] => [1,7] => [7,1] => 2
[6,2,5,7,1,3,4,8] => [2,6] => [6,2] => 2
[6,3,5,7,1,2,4,8] => [1,7] => [7,1] => 2
[4,2,6,8,1,3,5,7] => [2,6] => [6,2] => 2
[4,3,6,8,1,2,5,7] => [1,7] => [7,1] => 2
[6,2,4,8,1,3,5,7] => [2,6] => [6,2] => 2
[6,3,5,8,1,2,4,7] => [1,7] => [7,1] => 2
[3,2,7,8,1,4,5,6] => [2,6] => [6,2] => 2
[7,3,4,8,1,2,5,6] => [1,7] => [7,1] => 2
[8,2,4,6,1,3,5,7] => [2,6] => [6,2] => 2
[8,3,5,7,1,2,4,6] => [1,7] => [7,1] => 2
[5,6,2,4,1,3,7,8] => [4,4] => [4,4] => 2
[5,7,2,4,1,3,6,8] => [4,4] => [4,4] => 2
[4,7,3,6,1,2,5,8] => [3,5] => [5,3] => 2
[4,8,2,5,1,3,6,7] => [3,5] => [5,3] => 2
[4,8,2,6,1,3,5,7] => [3,5] => [5,3] => 2
[6,8,2,4,1,3,5,7] => [4,4] => [4,4] => 2
[3,8,2,7,1,4,5,6] => [3,5] => [5,3] => 2
[4,8,2,7,1,3,5,6] => [3,5] => [5,3] => 2
[4,8,3,7,1,2,5,6] => [3,5] => [5,3] => 2
[5,8,2,7,1,3,4,6] => [3,5] => [5,3] => 2
[5,8,3,7,1,2,4,6] => [3,5] => [5,3] => 2
[5,8,4,7,1,2,3,6] => [2,6] => [6,2] => 2
[6,8,5,7,1,2,3,4] => [2,6] => [6,2] => 2
[7,8,2,4,1,3,5,6] => [4,4] => [4,4] => 2
[7,8,3,5,1,2,4,6] => [3,5] => [5,3] => 2
[7,8,4,6,1,2,3,5] => [2,6] => [6,2] => 2
[4,3,2,6,1,5,7,8] => [1,2,5] => [5,2,1] => 3
[5,3,2,6,1,4,7,8] => [1,2,5] => [5,2,1] => 3
[5,4,2,6,1,3,7,8] => [1,2,5] => [5,2,1] => 3
[4,3,2,7,1,5,6,8] => [1,2,5] => [5,2,1] => 3
[5,3,2,7,1,4,6,8] => [1,2,5] => [5,2,1] => 3
[6,5,3,7,1,2,4,8] => [1,2,5] => [5,2,1] => 3
[7,4,2,5,1,3,6,8] => [1,2,5] => [5,2,1] => 3
[7,4,2,6,1,3,5,8] => [1,2,5] => [5,2,1] => 3
[4,3,2,8,1,5,6,7] => [1,2,5] => [5,2,1] => 3
[5,3,2,8,1,4,6,7] => [1,2,5] => [5,2,1] => 3
[6,4,2,8,1,3,5,7] => [1,2,5] => [5,2,1] => 3
[6,5,2,8,1,3,4,7] => [1,2,5] => [5,2,1] => 3
[6,5,3,8,1,2,4,7] => [1,2,5] => [5,2,1] => 3
[6,5,4,8,1,2,3,7] => [1,1,6] => [6,1,1] => 3
[7,4,2,8,1,3,5,6] => [1,2,5] => [5,2,1] => 3
[7,4,3,8,1,2,5,6] => [1,2,5] => [5,2,1] => 3
[8,4,2,5,1,3,6,7] => [1,2,5] => [5,2,1] => 3
[8,4,2,6,1,3,5,7] => [1,2,5] => [5,2,1] => 3
[8,6,2,4,1,3,5,7] => [1,3,4] => [4,3,1] => 3
[8,4,2,7,1,3,5,6] => [1,2,5] => [5,2,1] => 3
[8,5,4,7,1,2,3,6] => [1,1,6] => [6,1,1] => 3
[8,7,2,4,1,3,5,6] => [1,3,4] => [4,3,1] => 3
[8,7,3,5,1,2,4,6] => [1,2,5] => [5,2,1] => 3
[8,7,2,6,1,3,4,5] => [1,2,5] => [5,2,1] => 3
[8,7,3,6,1,2,4,5] => [1,2,5] => [5,2,1] => 3
[8,7,4,6,1,2,3,5] => [1,1,6] => [6,1,1] => 3
[5,6,2,4,8,1,3,7] => [4,4] => [4,4] => 2
[4,7,3,5,8,1,2,6] => [3,5] => [5,3] => 2
[5,7,2,4,8,1,3,6] => [4,4] => [4,4] => 2
[4,7,3,6,8,1,2,5] => [3,5] => [5,3] => 2
[6,7,3,4,8,1,2,5] => [4,4] => [4,4] => 2
[4,8,3,5,7,1,2,6] => [3,5] => [5,3] => 2
[5,8,4,6,7,1,2,3] => [2,6] => [6,2] => 2
[6,8,2,5,7,1,3,4] => [3,5] => [5,3] => 2
[7,8,2,4,6,1,3,5] => [4,4] => [4,4] => 2
[4,3,2,6,8,1,5,7] => [1,2,5] => [5,2,1] => 3
[5,4,2,6,8,1,3,7] => [1,2,5] => [5,2,1] => 3
[6,3,2,5,8,1,4,7] => [1,2,5] => [5,2,1] => 3
[6,4,3,5,8,1,2,7] => [1,2,5] => [5,2,1] => 3
[6,5,2,4,8,1,3,7] => [1,3,4] => [4,3,1] => 3
[4,3,2,7,8,1,5,6] => [1,2,5] => [5,2,1] => 3
[5,4,2,7,8,1,3,6] => [1,2,5] => [5,2,1] => 3
[8,7,2,4,6,1,3,5] => [1,3,4] => [4,3,1] => 3
[8,7,3,4,6,1,2,5] => [1,3,4] => [4,3,1] => 3
[4,3,7,2,6,1,5,8] => [1,3,4] => [4,3,1] => 3
[6,3,7,2,5,1,4,8] => [1,4,3] => [4,3,1] => 3
[6,4,7,2,5,1,3,8] => [1,4,3] => [4,3,1] => 3
[4,3,8,2,6,1,5,7] => [1,3,4] => [4,3,1] => 3
[6,4,8,2,5,1,3,7] => [1,4,3] => [4,3,1] => 3
[4,3,8,2,7,1,5,6] => [1,3,4] => [4,3,1] => 3
[6,4,8,2,7,1,3,5] => [1,3,4] => [4,3,1] => 3
[6,5,8,2,7,1,3,4] => [1,3,4] => [4,3,1] => 3
[7,5,8,2,4,1,3,6] => [1,4,3] => [4,3,1] => 3
[7,5,8,2,6,1,3,4] => [1,3,4] => [4,3,1] => 3
[7,5,8,4,6,1,2,3] => [1,3,4] => [4,3,1] => 3
[8,3,7,2,6,1,4,5] => [1,3,4] => [4,3,1] => 3
[8,4,7,2,6,1,3,5] => [1,3,4] => [4,3,1] => 3
[8,4,7,3,6,1,2,5] => [1,3,4] => [4,3,1] => 3
[8,5,7,2,6,1,3,4] => [1,3,4] => [4,3,1] => 3
[8,6,7,2,5,1,3,4] => [1,4,3] => [4,3,1] => 3
[5,4,3,2,7,1,6,8] => [1,2,1,4] => [4,2,1,1] => 4
[6,4,3,2,7,1,5,8] => [1,2,1,4] => [4,2,1,1] => 4
[6,5,3,2,7,1,4,8] => [1,2,1,4] => [4,2,1,1] => 4
[7,5,3,2,6,1,4,8] => [1,2,1,4] => [4,2,1,1] => 4
[5,4,3,2,8,1,6,7] => [1,2,1,4] => [4,2,1,1] => 4
[6,5,3,2,8,1,4,7] => [1,2,1,4] => [4,2,1,1] => 4
[7,5,3,2,8,1,4,6] => [1,2,1,4] => [4,2,1,1] => 4
[7,6,5,3,8,1,2,4] => [1,1,2,4] => [4,2,1,1] => 4
[8,5,3,2,6,1,4,7] => [1,2,1,4] => [4,2,1,1] => 4
[8,5,3,2,7,1,4,6] => [1,2,1,4] => [4,2,1,1] => 4
[8,6,5,3,7,1,2,4] => [1,1,2,4] => [4,2,1,1] => 4
[8,7,4,2,6,1,3,5] => [1,1,2,4] => [4,2,1,1] => 4
[8,7,4,3,6,1,2,5] => [1,1,2,4] => [4,2,1,1] => 4
[8,7,5,2,6,1,3,4] => [1,1,2,4] => [4,2,1,1] => 4
[8,7,5,3,6,1,2,4] => [1,1,2,4] => [4,2,1,1] => 4
[8,7,6,2,4,1,3,5] => [1,1,3,3] => [3,3,1,1] => 4
[4,8,3,7,2,6,1,5] => [3,3,2] => [3,3,2] => 3
[5,8,3,7,2,6,1,4] => [3,3,2] => [3,3,2] => 3
[5,8,4,7,2,6,1,3] => [2,4,2] => [4,2,2] => 3
[5,8,4,7,3,6,1,2] => [2,4,2] => [4,2,2] => 3
[6,8,3,7,2,5,1,4] => [3,3,2] => [3,3,2] => 3
[6,8,4,7,2,5,1,3] => [2,4,2] => [4,2,2] => 3
[6,8,4,7,3,5,1,2] => [2,4,2] => [4,2,2] => 3
[6,8,5,7,2,4,1,3] => [2,4,2] => [4,2,2] => 3
[6,8,5,7,3,4,1,2] => [2,4,2] => [4,2,2] => 3
[7,8,3,6,2,5,1,4] => [3,3,2] => [3,3,2] => 3
[7,8,4,6,2,5,1,3] => [2,4,2] => [4,2,2] => 3
[7,8,4,6,3,5,1,2] => [2,4,2] => [4,2,2] => 3
[7,8,5,6,2,4,1,3] => [2,4,2] => [4,2,2] => 3
[6,4,3,8,2,7,1,5] => [1,2,2,3] => [3,2,2,1] => 4
[6,5,3,8,2,7,1,4] => [1,2,2,3] => [3,2,2,1] => 4
[7,5,3,8,2,6,1,4] => [1,2,3,2] => [3,2,2,1] => 4
[7,6,4,8,2,5,1,3] => [1,1,4,2] => [4,2,1,1] => 4
[8,5,3,7,2,6,1,4] => [1,2,3,2] => [3,2,2,1] => 4
[8,5,4,7,2,6,1,3] => [1,1,4,2] => [4,2,1,1] => 4
[8,5,4,7,3,6,1,2] => [1,1,4,2] => [4,2,1,1] => 4
[8,6,4,7,2,5,1,3] => [1,1,4,2] => [4,2,1,1] => 4
[8,7,5,6,2,4,1,3] => [1,1,4,2] => [4,2,1,1] => 4
[6,5,4,3,2,8,1,7] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[8,5,4,3,2,7,1,6] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[8,7,5,4,2,6,1,3] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[8,7,6,5,2,4,1,3] => [1,1,1,3,2] => [3,2,1,1,1] => 5
[8,1,2,3,4,7,5,6] => [5,3] => [5,3] => 2
[8,1,2,3,7,4,5,6] => [4,4] => [4,4] => 2
[5,1,2,3,8,7,4,6] => [4,1,3] => [4,3,1] => 3
[8,1,2,3,6,7,4,5] => [4,4] => [4,4] => 2
[4,1,2,8,7,3,5,6] => [3,1,4] => [4,3,1] => 3
[4,1,2,7,6,3,8,5] => [3,1,2,2] => [3,2,2,1] => 4
[8,1,2,5,6,3,4,7] => [3,5] => [5,3] => 2
[8,1,2,5,7,3,4,6] => [3,5] => [5,3] => 2
[8,1,2,7,6,3,4,5] => [3,1,4] => [4,3,1] => 3
[7,1,2,5,6,3,8,4] => [3,3,2] => [3,3,2] => 3
[4,1,2,5,8,7,3,6] => [3,2,3] => [3,3,2] => 3
[8,1,2,5,6,7,3,4] => [3,5] => [5,3] => 2
[3,1,7,2,6,4,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,8,2,6,7,4,5] => [2,2,4] => [4,2,2] => 3
[6,1,4,2,3,8,5,7] => [2,3,3] => [3,3,2] => 3
[8,1,4,2,3,7,5,6] => [2,3,3] => [3,3,2] => 3
[8,1,7,2,3,4,5,6] => [2,6] => [6,2] => 2
[6,1,5,2,3,8,4,7] => [2,3,3] => [3,3,2] => 3
[5,1,4,2,8,3,6,7] => [2,2,4] => [4,2,2] => 3
[5,1,4,2,7,3,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[8,1,4,2,6,3,5,7] => [2,2,4] => [4,2,2] => 3
[7,1,4,2,6,3,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[8,1,5,2,7,3,4,6] => [2,2,4] => [4,2,2] => 3
[7,1,5,2,6,3,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[5,1,4,2,8,7,3,6] => [2,2,1,3] => [3,2,2,1] => 4
[5,1,4,2,6,7,8,3] => [2,2,4] => [4,2,2] => 3
[3,1,8,6,2,4,5,7] => [2,1,5] => [5,2,1] => 3
[3,1,8,6,2,7,4,5] => [2,1,2,3] => [3,2,2,1] => 4
[8,1,4,5,2,3,6,7] => [2,6] => [6,2] => 2
[7,1,4,8,2,3,5,6] => [2,6] => [6,2] => 2
[7,1,8,5,2,3,4,6] => [2,1,5] => [5,2,1] => 3
[7,1,8,6,2,3,4,5] => [2,1,5] => [5,2,1] => 3
[8,1,4,5,2,7,3,6] => [2,3,3] => [3,3,2] => 3
[8,1,6,5,2,7,3,4] => [2,1,2,3] => [3,2,2,1] => 4
[6,1,4,5,2,7,8,3] => [2,3,3] => [3,3,2] => 3
[3,1,4,8,7,2,5,6] => [2,2,4] => [4,2,2] => 3
[3,1,7,5,6,2,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[8,1,4,5,7,2,3,6] => [2,6] => [6,2] => 2
[8,1,4,7,6,2,3,5] => [2,2,4] => [4,2,2] => 3
[8,1,7,5,6,2,3,4] => [2,1,5] => [5,2,1] => 3
[7,1,4,5,6,2,8,3] => [2,4,2] => [4,2,2] => 3
[3,1,4,5,8,7,2,6] => [2,3,3] => [3,3,2] => 3
[3,1,4,8,6,7,2,5] => [2,2,4] => [4,2,2] => 3
[3,1,8,5,6,7,2,4] => [2,1,5] => [5,2,1] => 3
[8,1,4,5,6,7,2,3] => [2,6] => [6,2] => 2
[2,8,1,3,4,7,5,6] => [5,3] => [5,3] => 2
[2,4,1,8,6,3,5,7] => [3,1,4] => [4,3,1] => 3
[7,3,1,2,4,5,8,6] => [1,5,2] => [5,2,1] => 3
[8,3,1,2,4,7,5,6] => [1,4,3] => [4,3,1] => 3
[8,3,1,2,6,4,5,7] => [1,3,4] => [4,3,1] => 3
[7,6,1,2,3,4,8,5] => [1,5,2] => [5,2,1] => 3
[5,8,1,2,3,7,4,6] => [5,3] => [5,3] => 2
[8,6,1,2,3,7,4,5] => [1,4,3] => [4,3,1] => 3
[5,4,1,2,8,3,6,7] => [1,3,4] => [4,3,1] => 3
[8,4,1,2,7,3,5,6] => [1,3,4] => [4,3,1] => 3
[7,4,1,2,6,3,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[5,8,1,2,7,3,4,6] => [4,4] => [4,4] => 2
[8,7,1,2,6,3,4,5] => [1,3,4] => [4,3,1] => 3
[5,7,1,2,6,3,8,4] => [4,2,2] => [4,2,2] => 3
[5,4,1,2,8,7,3,6] => [1,3,1,3] => [3,3,1,1] => 4
[8,4,1,2,6,7,3,5] => [1,3,4] => [4,3,1] => 3
[5,8,1,2,6,7,3,4] => [4,4] => [4,4] => 2
[5,4,1,2,6,7,8,3] => [1,3,4] => [4,3,1] => 3
[4,3,1,6,2,8,5,7] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,1,6,2,7,8,5] => [1,2,2,3] => [3,2,2,1] => 4
[7,3,1,8,2,4,5,6] => [1,2,5] => [5,2,1] => 3
[7,3,1,6,2,4,8,5] => [1,2,3,2] => [3,2,2,1] => 4
[8,3,1,5,2,7,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[8,3,1,6,2,7,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[6,3,1,5,2,7,8,4] => [1,2,2,3] => [3,2,2,1] => 4
[7,4,1,5,2,3,8,6] => [1,2,3,2] => [3,2,2,1] => 4
[8,4,1,6,2,3,5,7] => [1,2,5] => [5,2,1] => 3
[7,4,1,8,2,3,5,6] => [1,2,5] => [5,2,1] => 3
[7,4,1,6,2,3,8,5] => [1,2,3,2] => [3,2,2,1] => 4
[8,7,1,5,2,3,4,6] => [1,2,5] => [5,2,1] => 3
[8,7,1,6,2,3,4,5] => [1,2,5] => [5,2,1] => 3
[6,7,1,5,2,3,8,4] => [3,3,2] => [3,3,2] => 3
[6,4,1,5,2,8,3,7] => [1,2,2,3] => [3,2,2,1] => 4
[8,4,1,5,2,7,3,6] => [1,2,2,3] => [3,2,2,1] => 4
[8,4,1,6,2,7,3,5] => [1,2,2,3] => [3,2,2,1] => 4
[6,8,1,5,2,7,3,4] => [3,2,3] => [3,3,2] => 3
[6,4,1,5,2,7,8,3] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,1,8,7,2,5,6] => [1,2,1,4] => [4,2,1,1] => 4
[4,3,1,7,6,2,8,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[8,3,1,5,6,2,4,7] => [1,2,5] => [5,2,1] => 3
[8,3,1,5,7,2,4,6] => [1,2,5] => [5,2,1] => 3
[8,3,1,7,6,2,4,5] => [1,2,1,4] => [4,2,1,1] => 4
[7,3,1,5,6,2,8,4] => [1,2,3,2] => [3,2,2,1] => 4
[8,4,1,5,7,2,3,6] => [1,2,5] => [5,2,1] => 3
[8,4,1,7,6,2,3,5] => [1,2,1,4] => [4,2,1,1] => 4
[7,8,1,5,6,2,3,4] => [3,5] => [5,3] => 2
[7,4,1,5,6,2,8,3] => [1,2,3,2] => [3,2,2,1] => 4
[4,3,1,5,6,8,2,7] => [1,2,5] => [5,2,1] => 3
[4,3,1,5,8,7,2,6] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,1,8,6,7,2,5] => [1,2,1,4] => [4,2,1,1] => 4
[8,3,1,5,6,7,2,4] => [1,2,5] => [5,2,1] => 3
[8,4,1,5,6,7,2,3] => [1,2,5] => [5,2,1] => 3
[4,3,1,5,6,7,8,2] => [1,2,5] => [5,2,1] => 3
[2,3,8,1,6,7,4,5] => [4,4] => [4,4] => 2
[2,6,4,1,3,8,5,7] => [2,3,3] => [3,3,2] => 3
[2,6,4,1,3,7,8,5] => [2,3,3] => [3,3,2] => 3
[2,7,5,1,3,4,8,6] => [2,4,2] => [4,2,2] => 3
[2,8,7,1,3,4,5,6] => [2,6] => [6,2] => 2
[2,8,5,1,3,7,4,6] => [2,3,3] => [3,3,2] => 3
[2,6,8,1,3,7,4,5] => [5,3] => [5,3] => 2
[2,6,5,1,3,7,8,4] => [2,3,3] => [3,3,2] => 3
[2,8,4,1,6,3,5,7] => [2,2,4] => [4,2,2] => 3
[2,8,4,1,7,3,5,6] => [2,2,4] => [4,2,2] => 3
[2,7,4,1,6,3,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[2,8,5,1,7,3,4,6] => [2,2,4] => [4,2,2] => 3
[2,7,8,1,6,3,4,5] => [4,4] => [4,4] => 2
[2,7,5,1,6,3,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[2,5,4,1,8,7,3,6] => [2,2,1,3] => [3,2,2,1] => 4
[2,8,4,1,6,7,3,5] => [2,2,4] => [4,2,2] => 3
[2,8,5,1,6,7,3,4] => [2,2,4] => [4,2,2] => 3
[2,5,4,1,6,7,8,3] => [2,2,4] => [4,2,2] => 3
[6,3,4,1,2,7,8,5] => [1,4,3] => [4,3,1] => 3
[7,3,5,1,2,4,8,6] => [1,5,2] => [5,2,1] => 3
[6,3,7,1,2,4,8,5] => [1,5,2] => [5,2,1] => 3
[8,3,5,1,2,7,4,6] => [1,4,3] => [4,3,1] => 3
[6,3,8,1,2,7,4,5] => [1,4,3] => [4,3,1] => 3
[6,3,5,1,2,7,8,4] => [1,4,3] => [4,3,1] => 3
[7,5,4,1,2,3,8,6] => [1,1,4,2] => [4,2,1,1] => 4
[6,7,4,1,2,3,8,5] => [2,4,2] => [4,2,2] => 3
[6,8,5,1,2,3,4,7] => [2,6] => [6,2] => 2
[6,7,5,1,2,3,8,4] => [2,4,2] => [4,2,2] => 3
[8,5,4,1,2,7,3,6] => [1,1,3,3] => [3,3,1,1] => 4
[6,8,4,1,2,7,3,5] => [2,3,3] => [3,3,2] => 3
[6,8,5,1,2,7,3,4] => [2,3,3] => [3,3,2] => 3
[6,5,4,1,2,7,8,3] => [1,1,3,3] => [3,3,1,1] => 4
[8,3,4,1,7,2,5,6] => [1,3,4] => [4,3,1] => 3
[7,3,4,1,6,2,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[8,3,5,1,6,2,4,7] => [1,3,4] => [4,3,1] => 3
[8,3,5,1,7,2,4,6] => [1,3,4] => [4,3,1] => 3
[7,3,8,1,6,2,4,5] => [1,3,4] => [4,3,1] => 3
[7,3,5,1,6,2,8,4] => [1,3,2,2] => [3,2,2,1] => 4
[8,5,4,1,6,2,3,7] => [1,1,2,4] => [4,2,1,1] => 4
[8,5,4,1,7,2,3,6] => [1,1,2,4] => [4,2,1,1] => 4
[7,8,4,1,6,2,3,5] => [2,2,4] => [4,2,2] => 3
[7,8,5,1,6,2,3,4] => [2,2,4] => [4,2,2] => 3
[7,5,4,1,6,2,8,3] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[5,3,4,1,6,8,2,7] => [1,3,4] => [4,3,1] => 3
[5,3,4,1,8,7,2,6] => [1,3,1,3] => [3,3,1,1] => 4
[8,3,4,1,6,7,2,5] => [1,3,4] => [4,3,1] => 3
[8,3,5,1,6,7,2,4] => [1,3,4] => [4,3,1] => 3
[8,5,4,1,6,7,2,3] => [1,1,2,4] => [4,2,1,1] => 4
[5,3,4,1,6,7,8,2] => [1,3,4] => [4,3,1] => 3
[2,3,4,8,1,7,5,6] => [5,3] => [5,3] => 2
[2,3,7,6,1,4,8,5] => [3,3,2] => [3,3,2] => 3
[2,3,8,5,1,7,4,6] => [3,2,3] => [3,3,2] => 3
[2,3,8,6,1,7,4,5] => [3,2,3] => [3,3,2] => 3
[2,3,6,5,1,7,8,4] => [3,2,3] => [3,3,2] => 3
[2,8,4,6,1,3,5,7] => [2,6] => [6,2] => 2
[2,7,4,8,1,3,5,6] => [2,6] => [6,2] => 2
[2,7,4,6,1,3,8,5] => [2,4,2] => [4,2,2] => 3
[2,8,6,5,1,3,4,7] => [2,1,5] => [5,2,1] => 3
[2,7,8,5,1,3,4,6] => [3,5] => [5,3] => 2
[2,7,8,6,1,3,4,5] => [3,5] => [5,3] => 2
[2,7,6,5,1,3,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[2,6,4,5,1,8,3,7] => [2,3,3] => [3,3,2] => 3
[2,8,4,5,1,7,3,6] => [2,3,3] => [3,3,2] => 3
[2,8,4,6,1,7,3,5] => [2,3,3] => [3,3,2] => 3
[2,8,6,5,1,7,3,4] => [2,1,2,3] => [3,2,2,1] => 4
[2,6,4,5,1,7,8,3] => [2,3,3] => [3,3,2] => 3
[7,3,4,6,1,2,8,5] => [1,5,2] => [5,2,1] => 3
[8,3,6,5,1,2,4,7] => [1,2,5] => [5,2,1] => 3
[7,3,8,5,1,2,4,6] => [1,2,5] => [5,2,1] => 3
[7,3,8,6,1,2,4,5] => [1,2,5] => [5,2,1] => 3
[7,3,6,5,1,2,8,4] => [1,2,3,2] => [3,2,2,1] => 4
[7,6,4,5,1,2,8,3] => [1,1,4,2] => [4,2,1,1] => 4
[6,3,4,5,1,8,2,7] => [1,4,3] => [4,3,1] => 3
[8,3,4,5,1,7,2,6] => [1,4,3] => [4,3,1] => 3
[8,3,4,6,1,7,2,5] => [1,4,3] => [4,3,1] => 3
[8,3,6,5,1,7,2,4] => [1,2,2,3] => [3,2,2,1] => 4
[8,6,4,5,1,7,2,3] => [1,1,3,3] => [3,3,1,1] => 4
[6,3,4,5,1,7,8,2] => [1,4,3] => [4,3,1] => 3
[2,3,4,8,6,1,5,7] => [4,4] => [4,4] => 2
[2,3,4,8,7,1,5,6] => [4,4] => [4,4] => 2
[2,3,4,7,6,1,8,5] => [4,2,2] => [4,2,2] => 3
[2,3,8,5,6,1,4,7] => [3,5] => [5,3] => 2
[2,3,8,5,7,1,4,6] => [3,5] => [5,3] => 2
[2,3,8,7,6,1,4,5] => [3,1,4] => [4,3,1] => 3
[2,3,7,5,6,1,8,4] => [3,3,2] => [3,3,2] => 3
[2,8,4,5,6,1,3,7] => [2,6] => [6,2] => 2
[2,8,4,5,7,1,3,6] => [2,6] => [6,2] => 2
[2,8,4,7,6,1,3,5] => [2,2,4] => [4,2,2] => 3
[2,8,7,5,6,1,3,4] => [2,1,5] => [5,2,1] => 3
[2,7,4,5,6,1,8,3] => [2,4,2] => [4,2,2] => 3
[8,3,4,5,7,1,2,6] => [1,7] => [7,1] => 2
[8,3,4,7,6,1,2,5] => [1,3,4] => [4,3,1] => 3
[8,3,7,5,6,1,2,4] => [1,2,5] => [5,2,1] => 3
[7,3,4,5,6,1,8,2] => [1,5,2] => [5,2,1] => 3
[2,3,4,5,8,7,1,6] => [5,3] => [5,3] => 2
[2,3,4,8,6,7,1,5] => [4,4] => [4,4] => 2
[2,3,8,5,6,7,1,4] => [3,5] => [5,3] => 2
[2,8,4,5,6,7,1,3] => [2,6] => [6,2] => 2
[9,1,2,3,4,5,6,7,8] => [9] => [9] => 1
[8,1,2,3,4,5,6,9,7] => [7,2] => [7,2] => 2
[9,1,2,3,4,5,8,6,7] => [6,3] => [6,3] => 2
[7,1,2,3,4,5,8,9,6] => [6,3] => [6,3] => 2
[9,1,2,3,4,8,5,6,7] => [5,4] => [5,4] => 2
[6,1,2,3,4,9,8,5,7] => [5,1,3] => [5,3,1] => 3
[9,1,2,3,4,7,8,5,6] => [5,4] => [5,4] => 2
[6,1,2,3,4,7,8,9,5] => [5,4] => [5,4] => 2
[8,1,2,3,9,4,5,6,7] => [4,5] => [5,4] => 2
[5,1,2,3,9,8,4,6,7] => [4,1,4] => [4,4,1] => 3
[9,1,2,3,6,8,4,5,7] => [4,5] => [5,4] => 2
[5,1,2,3,6,9,8,4,7] => [4,2,3] => [4,3,2] => 3
[9,1,2,8,3,4,5,6,7] => [3,6] => [6,3] => 2
[4,1,2,8,9,3,5,6,7] => [3,6] => [6,3] => 2
[8,1,2,5,9,3,4,6,7] => [3,6] => [6,3] => 2
[4,1,2,5,9,8,3,6,7] => [3,2,4] => [4,3,2] => 3
[9,1,8,2,3,4,5,6,7] => [2,7] => [7,2] => 2
[3,1,9,8,2,4,5,6,7] => [2,1,6] => [6,2,1] => 3
[9,1,4,8,2,3,5,6,7] => [2,7] => [7,2] => 2
[3,1,4,8,9,2,5,6,7] => [2,7] => [7,2] => 2
[7,1,4,5,6,2,8,9,3] => [2,4,3] => [4,3,2] => 3
[9,1,8,5,6,7,2,3,4] => [2,1,6] => [6,2,1] => 3
[8,1,4,5,6,7,2,9,3] => [2,5,2] => [5,2,2] => 3
[3,1,4,9,6,7,8,2,5] => [2,2,5] => [5,2,2] => 3
[3,1,9,5,6,7,8,2,4] => [2,1,6] => [6,2,1] => 3
[9,1,4,5,6,7,8,2,3] => [2,7] => [7,2] => 2
[3,1,4,5,6,7,8,9,2] => [2,7] => [7,2] => 2
[2,9,1,3,4,5,6,7,8] => [9] => [9] => 1
[2,4,1,6,3,8,5,9,7] => [3,2,2,2] => [3,2,2,2] => 4
[9,3,1,2,4,5,6,7,8] => [1,8] => [8,1] => 2
[8,9,1,2,3,4,5,6,7] => [9] => [9] => 1
[2,9,8,1,3,4,5,6,7] => [2,7] => [7,2] => 2
[9,3,8,1,2,4,5,6,7] => [1,8] => [8,1] => 2
[9,7,8,1,2,3,4,5,6] => [1,8] => [8,1] => 2
[2,3,9,8,1,4,5,6,7] => [3,6] => [6,3] => 2
[6,3,4,5,1,7,9,2,8] => [1,4,4] => [4,4,1] => 3
[9,7,4,5,6,1,2,3,8] => [1,1,7] => [7,1,1] => 3
[7,3,4,5,6,1,9,2,8] => [1,5,3] => [5,3,1] => 3
[2,3,9,5,6,7,1,4,8] => [3,6] => [6,3] => 2
[2,9,4,5,6,7,1,3,8] => [2,7] => [7,2] => 2
[9,3,4,5,6,7,1,2,8] => [1,8] => [8,1] => 2
[2,3,4,5,6,7,9,1,8] => [9] => [9] => 1
[2,3,4,5,6,7,8,9,1] => [9] => [9] => 1
[3,5,2,6,1,4,8,7] => [3,3,2] => [3,3,2] => 3
[3,5,2,6,4,1,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[3,5,2,7,4,8,1,6] => [3,2,3] => [3,3,2] => 3
[3,5,2,7,4,8,6,1] => [3,2,2,1] => [3,2,2,1] => 4
[4,5,7,2,3,8,6,1] => [5,2,1] => [5,2,1] => 3
[4,5,7,2,3,8,1,6] => [5,3] => [5,3] => 2
[4,5,6,2,3,1,8,7] => [5,1,2] => [5,2,1] => 3
[4,5,6,2,1,3,8,7] => [4,2,2] => [4,2,2] => 3
[3,5,1,6,4,2,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[4,5,6,1,3,2,8,7] => [5,1,2] => [5,2,1] => 3
[4,5,6,3,1,2,8,7] => [4,2,2] => [4,2,2] => 3
[4,5,7,3,2,8,1,6] => [4,1,3] => [4,3,1] => 3
[4,5,7,3,2,8,6,1] => [4,1,2,1] => [4,2,1,1] => 4
[4,6,7,3,8,2,5,1] => [4,3,1] => [4,3,1] => 3
[4,6,7,3,8,2,1,5] => [4,2,2] => [4,2,2] => 3
[4,6,7,3,8,1,2,5] => [4,4] => [4,4] => 2
[4,5,7,3,1,8,2,6] => [4,1,3] => [4,3,1] => 3
[4,5,7,1,3,8,2,6] => [5,3] => [5,3] => 2
[3,5,1,7,4,8,2,6] => [3,2,3] => [3,3,2] => 3
[2,1,5,7,4,8,3,6] => [2,3,3] => [3,3,2] => 3
[2,1,5,7,4,8,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[3,5,1,7,4,8,6,2] => [3,2,2,1] => [3,2,2,1] => 4
[4,5,7,1,3,8,6,2] => [5,2,1] => [5,2,1] => 3
[4,5,7,3,1,8,6,2] => [4,1,2,1] => [4,2,1,1] => 4
[4,6,7,3,8,1,5,2] => [4,3,1] => [4,3,1] => 3
[4,6,7,3,8,5,1,2] => [4,2,2] => [4,2,2] => 3
[4,6,7,3,8,5,2,1] => [4,2,1,1] => [4,2,1,1] => 4
[5,6,7,8,3,1,4,2] => [5,2,1] => [5,2,1] => 3
[5,6,7,8,1,3,4,2] => [7,1] => [7,1] => 2
[4,6,7,1,8,3,5,2] => [4,3,1] => [4,3,1] => 3
[3,6,1,7,8,4,5,2] => [3,4,1] => [4,3,1] => 3
[2,1,6,7,8,4,5,3] => [2,5,1] => [5,2,1] => 3
[2,1,6,7,8,4,3,5] => [2,4,2] => [4,2,2] => 3
[3,6,1,7,8,4,2,5] => [3,3,2] => [3,3,2] => 3
[4,6,7,1,8,3,2,5] => [4,2,2] => [4,2,2] => 3
[5,6,7,8,1,3,2,4] => [6,2] => [6,2] => 2
[4,5,7,2,1,8,3,6] => [4,1,3] => [4,3,1] => 3
[4,6,7,2,8,1,3,5] => [4,4] => [4,4] => 2
[4,6,7,2,8,3,1,5] => [4,2,2] => [4,2,2] => 3
[4,6,7,2,8,3,5,1] => [4,3,1] => [4,3,1] => 3
[3,6,2,7,8,4,5,1] => [3,4,1] => [4,3,1] => 3
[3,6,2,7,8,4,1,5] => [3,3,2] => [3,3,2] => 3
[3,6,2,7,8,1,4,5] => [3,5] => [5,3] => 2
[3,5,2,7,1,8,4,6] => [3,2,3] => [3,3,2] => 3
[3,4,2,1,7,8,5,6] => [3,1,4] => [4,3,1] => 3
[3,4,1,2,7,8,6,5] => [4,3,1] => [4,3,1] => 3
[3,5,2,7,1,8,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[3,6,2,7,8,1,5,4] => [3,4,1] => [4,3,1] => 3
[3,6,2,7,8,5,1,4] => [3,3,2] => [3,3,2] => 3
[3,6,2,7,8,5,4,1] => [3,3,1,1] => [3,3,1,1] => 4
[4,6,7,2,8,5,3,1] => [4,2,1,1] => [4,2,1,1] => 4
[4,6,7,2,8,5,1,3] => [4,2,2] => [4,2,2] => 3
[4,6,7,2,8,1,5,3] => [4,3,1] => [4,3,1] => 3
[4,5,7,2,1,8,6,3] => [4,1,2,1] => [4,2,1,1] => 4
[4,5,7,1,2,8,6,3] => [5,2,1] => [5,2,1] => 3
[3,5,1,7,2,8,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[2,1,5,7,3,8,6,4] => [2,3,2,1] => [3,2,2,1] => 4
[2,1,6,7,8,3,5,4] => [2,5,1] => [5,2,1] => 3
[3,6,1,7,8,2,5,4] => [3,4,1] => [4,3,1] => 3
[4,6,7,1,8,2,5,3] => [4,3,1] => [4,3,1] => 3
[5,6,7,8,1,2,4,3] => [7,1] => [7,1] => 2
[5,6,7,8,2,1,4,3] => [5,2,1] => [5,2,1] => 3
[5,6,7,8,2,4,1,3] => [6,2] => [6,2] => 2
[5,6,7,8,2,4,3,1] => [6,1,1] => [6,1,1] => 3
[5,6,7,8,1,4,2,3] => [6,2] => [6,2] => 2
[4,6,7,1,8,5,2,3] => [4,2,2] => [4,2,2] => 3
[3,6,1,7,8,5,2,4] => [3,3,2] => [3,3,2] => 3
[2,1,6,7,8,5,3,4] => [2,4,2] => [4,2,2] => 3
[3,6,1,7,8,5,4,2] => [3,3,1,1] => [3,3,1,1] => 4
[4,6,7,1,8,5,3,2] => [4,2,1,1] => [4,2,1,1] => 4
[5,6,7,8,1,4,3,2] => [6,1,1] => [6,1,1] => 3
[5,6,7,8,4,1,3,2] => [5,2,1] => [5,2,1] => 3
[3,4,2,1,6,5,8,7,10,9] => [3,1,2,2,2] => [3,2,2,2,1] => 5
[3,5,2,6,4,1,8,7,10,9] => [3,2,1,2,2] => [3,2,2,2,1] => 5
[3,5,2,7,4,8,6,1,10,9] => [3,2,2,1,2] => [3,2,2,2,1] => 5
[3,5,2,7,4,9,6,10,8,1] => [3,2,2,2,1] => [3,2,2,2,1] => 5
[2,1,5,6,4,3,8,7,10,9] => [2,3,1,2,2] => [3,2,2,2,1] => 5
[4,5,6,3,2,1,8,7,10,9] => [4,1,1,2,2] => [4,2,2,1,1] => 5
[4,5,7,3,2,8,6,1,10,9] => [4,1,2,1,2] => [4,2,2,1,1] => 5
[4,5,7,3,2,9,6,10,8,1] => [4,1,2,2,1] => [4,2,2,1,1] => 5
[2,1,5,7,4,8,6,3,10,9] => [2,3,2,1,2] => [3,2,2,2,1] => 5
[4,6,7,3,8,5,2,1,10,9] => [4,2,1,1,2] => [4,2,2,1,1] => 5
[4,6,7,3,9,5,2,10,8,1] => [4,2,1,2,1] => [4,2,2,1,1] => 5
[2,1,5,7,4,9,6,10,8,3] => [2,3,2,2,1] => [3,2,2,2,1] => 5
[4,6,8,3,9,5,10,7,2,1] => [4,2,2,1,1] => [4,2,2,1,1] => 5
[2,1,4,3,7,8,6,5,10,9] => [2,2,3,1,2] => [3,2,2,2,1] => 5
[3,4,2,1,7,8,6,5,10,9] => [3,1,3,1,2] => [3,3,2,1,1] => 5
[3,6,2,7,8,5,4,1,10,9] => [3,3,1,1,2] => [3,3,2,1,1] => 5
[3,6,2,7,9,5,4,10,8,1] => [3,3,1,2,1] => [3,3,2,1,1] => 5
[2,1,6,7,8,5,4,3,10,9] => [2,4,1,1,2] => [4,2,2,1,1] => 5
[5,6,7,8,4,3,2,1,10,9] => [5,1,1,1,2] => [5,2,1,1,1] => 5
[5,6,7,9,4,3,2,10,8,1] => [5,1,1,2,1] => [5,2,1,1,1] => 5
[2,1,6,7,9,5,4,10,8,3] => [2,4,1,2,1] => [4,2,2,1,1] => 5
[5,6,8,9,4,3,10,7,2,1] => [5,1,2,1,1] => [5,2,1,1,1] => 5
[2,1,4,3,7,9,6,10,8,5] => [2,2,3,2,1] => [3,2,2,2,1] => 5
[3,4,2,1,7,9,6,10,8,5] => [3,1,3,2,1] => [3,3,2,1,1] => 5
[3,6,2,8,9,5,10,7,4,1] => [3,3,2,1,1] => [3,3,2,1,1] => 5
[2,1,6,8,9,5,10,7,4,3] => [2,4,2,1,1] => [4,2,2,1,1] => 5
[5,7,8,9,4,10,6,3,2,1] => [5,2,1,1,1] => [5,2,1,1,1] => 5
[2,1,4,3,6,5,9,10,8,7] => [2,2,2,3,1] => [3,2,2,2,1] => 5
[3,4,2,1,6,5,9,10,8,7] => [3,1,2,3,1] => [3,3,2,1,1] => 5
[3,5,2,6,4,1,9,10,8,7] => [3,2,1,3,1] => [3,3,2,1,1] => 5
[3,5,2,8,4,9,10,7,6,1] => [3,2,3,1,1] => [3,3,2,1,1] => 5
[2,1,5,6,4,3,9,10,8,7] => [2,3,1,3,1] => [3,3,2,1,1] => 5
[4,5,6,3,2,1,9,10,8,7] => [4,1,1,3,1] => [4,3,1,1,1] => 5
[4,5,8,3,2,9,10,7,6,1] => [4,1,3,1,1] => [4,3,1,1,1] => 5
[2,1,5,8,4,9,10,7,6,3] => [2,3,3,1,1] => [3,3,2,1,1] => 5
[4,7,8,3,9,10,6,5,2,1] => [4,3,1,1,1] => [4,3,1,1,1] => 5
[2,1,4,3,8,9,10,7,6,5] => [2,2,4,1,1] => [4,2,2,1,1] => 5
[3,4,2,1,8,9,10,7,6,5] => [3,1,4,1,1] => [4,3,1,1,1] => 5
[3,7,2,8,9,10,6,5,4,1] => [3,4,1,1,1] => [4,3,1,1,1] => 5
[2,1,7,8,9,10,6,5,4,3] => [2,5,1,1,1] => [5,2,1,1,1] => 5
[6,7,8,9,10,5,4,3,2,1] => [6,1,1,1,1] => [6,1,1,1,1] => 5
[6,5,8,7,3,4,1,2] => [1,2,3,2] => [3,2,2,1] => 4
[3,6,7,4,5,8,1,2] => [5,3] => [5,3] => 2
[2,6,7,4,5,1,8,3] => [5,1,2] => [5,2,1] => 3
[1,6,7,4,5,2,3,8] => [1,4,3] => [4,3,1] => 3
[1,5,4,7,6,2,3,8] => [1,1,2,4] => [4,2,1,1] => 4
[2,5,4,7,6,1,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[3,5,4,7,6,8,1,2] => [2,2,4] => [4,2,2] => 3
[4,5,3,7,8,6,1,2] => [3,3,2] => [3,3,2] => 3
[5,4,3,8,7,6,1,2] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[6,4,8,3,7,5,1,2] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,8,4,5,7,1,2] => [1,4,3] => [4,3,1] => 3
[5,3,4,8,6,7,1,2] => [1,3,4] => [4,3,1] => 3
[4,3,5,6,8,7,1,2] => [1,4,3] => [4,3,1] => 3
[3,2,5,6,1,8,7,4] => [2,3,2,1] => [3,2,2,1] => 4
[4,2,5,6,8,1,7,3] => [2,5,1] => [5,2,1] => 3
[5,2,4,8,6,1,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[6,2,8,4,5,1,7,3] => [2,3,2,1] => [3,2,2,1] => 4
[7,8,2,4,5,1,6,3] => [5,2,1] => [5,2,1] => 3
[7,8,1,4,5,2,3,6] => [5,3] => [5,3] => 2
[6,1,8,4,5,2,3,7] => [2,3,3] => [3,3,2] => 3
[5,1,4,8,6,2,3,7] => [2,2,4] => [4,2,2] => 3
[4,1,3,2,8,6,5,7] => [3,1,2,2] => [3,2,2,1] => 4
[5,1,3,8,2,6,4,7] => [3,3,2] => [3,3,2] => 3
[6,1,8,3,2,5,4,7] => [2,2,2,2] => [2,2,2,2] => 4
[7,8,1,3,2,5,4,6] => [4,2,2] => [4,2,2] => 3
[7,8,2,3,1,5,6,4] => [4,3,1] => [4,3,1] => 3
[6,2,8,3,1,5,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[5,2,3,8,1,6,7,4] => [3,4,1] => [4,3,1] => 3
[6,3,8,2,1,7,5,4] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[7,8,3,2,1,6,5,4] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[7,8,4,2,6,1,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[5,4,2,8,7,1,6,3] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[4,5,2,7,8,1,6,3] => [3,4,1] => [4,3,1] => 3
[2,5,3,7,1,6,8,4] => [3,3,2] => [3,3,2] => 3
[1,5,3,7,2,6,4,8] => [1,2,3,2] => [3,2,2,1] => 4
[1,6,7,3,2,5,4,8] => [1,3,2,2] => [3,2,2,1] => 4
[2,6,7,3,1,5,8,4] => [4,2,2] => [4,2,2] => 3
[3,6,7,2,1,8,5,4] => [4,1,2,1] => [4,2,1,1] => 4
[7,8,5,6,2,1,4,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,5,8,7,1,2,3,4] => [1,2,5] => [5,2,1] => 3
[5,4,1,8,7,2,3,6] => [1,2,1,4] => [4,2,1,1] => 4
[6,4,8,1,7,2,3,5] => [1,3,4] => [4,3,1] => 3
[7,8,3,1,2,6,4,5] => [3,3,2] => [3,3,2] => 3
[5,3,1,8,2,7,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,1,2,8,7,5,6] => [1,3,1,3] => [3,3,1,1] => 4
[4,2,1,3,8,5,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[5,2,1,8,3,4,7,6] => [2,1,4,1] => [4,2,1,1] => 4
[6,2,8,1,3,4,7,5] => [2,5,1] => [5,2,1] => 3
[7,8,2,1,3,4,6,5] => [3,4,1] => [4,3,1] => 3
[4,3,1,2,6,5,8,7] => [1,3,2,2] => [3,2,2,1] => 4
[5,3,1,6,2,4,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,1,5,2,4,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[7,3,1,5,2,8,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[8,4,5,1,2,7,3,6] => [1,4,3] => [4,3,1] => 3
[7,4,5,1,2,8,3,6] => [1,4,3] => [4,3,1] => 3
[6,4,5,1,2,3,8,7] => [1,5,2] => [5,2,1] => 3
[5,4,6,1,2,3,8,7] => [1,5,2] => [5,2,1] => 3
[2,1,6,5,3,4,8,7] => [2,1,3,2] => [3,2,2,1] => 4
[3,6,1,5,2,4,8,7] => [3,3,2] => [3,3,2] => 3
[4,6,5,1,2,3,8,7] => [2,4,2] => [4,2,2] => 3
[5,6,4,1,2,3,8,7] => [2,4,2] => [4,2,2] => 3
[6,5,4,1,2,3,8,7] => [1,1,4,2] => [4,2,1,1] => 4
[7,5,4,1,2,8,3,6] => [1,1,3,3] => [3,3,1,1] => 4
[8,6,4,1,7,2,3,5] => [1,1,2,4] => [4,2,1,1] => 4
[7,6,4,1,8,2,3,5] => [1,1,2,4] => [4,2,1,1] => 4
[6,7,4,1,8,2,3,5] => [2,2,4] => [4,2,2] => 3
[5,7,4,1,2,8,3,6] => [2,3,3] => [3,3,2] => 3
[4,7,5,1,2,8,3,6] => [2,3,3] => [3,3,2] => 3
[3,7,1,5,2,8,4,6] => [3,2,3] => [3,3,2] => 3
[2,1,7,5,3,8,4,6] => [2,1,2,3] => [3,2,2,1] => 4
[2,1,8,5,3,7,4,6] => [2,1,2,3] => [3,2,2,1] => 4
[3,8,1,5,2,7,4,6] => [3,2,3] => [3,3,2] => 3
[4,8,5,1,2,7,3,6] => [2,3,3] => [3,3,2] => 3
[5,8,4,1,2,7,3,6] => [2,3,3] => [3,3,2] => 3
[6,8,4,1,7,2,3,5] => [2,2,4] => [4,2,2] => 3
[8,7,4,1,6,2,3,5] => [1,1,2,4] => [4,2,1,1] => 4
[5,8,6,7,1,2,3,4] => [2,6] => [6,2] => 2
[4,8,6,1,7,2,3,5] => [2,2,4] => [4,2,2] => 3
[3,8,1,6,7,2,4,5] => [3,5] => [5,3] => 2
[2,1,8,6,7,3,4,5] => [2,1,5] => [5,2,1] => 3
[2,1,7,6,8,3,4,5] => [2,1,5] => [5,2,1] => 3
[3,7,1,6,8,2,4,5] => [3,5] => [5,3] => 2
[4,7,6,1,8,2,3,5] => [2,2,4] => [4,2,2] => 3
[5,7,6,8,1,2,3,4] => [2,6] => [6,2] => 2
[5,4,7,1,2,8,3,6] => [1,4,3] => [4,3,1] => 3
[6,4,7,1,8,2,3,5] => [1,3,4] => [4,3,1] => 3
[7,4,6,1,8,2,3,5] => [1,3,4] => [4,3,1] => 3
[8,4,6,1,7,2,3,5] => [1,3,4] => [4,3,1] => 3
[8,3,1,6,7,2,4,5] => [1,2,5] => [5,2,1] => 3
[7,3,1,6,8,2,4,5] => [1,2,5] => [5,2,1] => 3
[6,3,1,7,8,2,4,5] => [1,2,5] => [5,2,1] => 3
[5,3,1,7,2,8,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,1,2,7,8,5,6] => [1,3,4] => [4,3,1] => 3
[2,1,4,3,8,7,5,6] => [2,2,1,3] => [3,2,2,1] => 4
[3,4,1,2,8,7,5,6] => [4,1,3] => [4,3,1] => 3
[6,3,1,8,7,2,4,5] => [1,2,1,4] => [4,2,1,1] => 4
[7,3,1,8,6,2,4,5] => [1,2,1,4] => [4,2,1,1] => 4
[8,4,7,1,6,2,3,5] => [1,3,4] => [4,3,1] => 3
[7,4,8,1,6,2,3,5] => [1,3,4] => [4,3,1] => 3
[5,4,8,1,2,7,3,6] => [1,4,3] => [4,3,1] => 3
[4,5,8,1,2,7,3,6] => [5,3] => [5,3] => 2
[3,5,1,8,2,7,4,6] => [3,2,3] => [3,3,2] => 3
[2,1,5,8,3,7,4,6] => [2,3,3] => [3,3,2] => 3
[2,1,6,8,7,3,4,5] => [2,2,4] => [4,2,2] => 3
[3,6,1,8,7,2,4,5] => [3,1,4] => [4,3,1] => 3
[4,6,8,1,7,2,3,5] => [4,4] => [4,4] => 2
[5,6,8,7,1,2,3,4] => [3,5] => [5,3] => 2
[7,5,8,6,1,2,3,4] => [1,2,5] => [5,2,1] => 3
[8,5,7,6,1,2,3,4] => [1,2,5] => [5,2,1] => 3
[5,7,8,6,1,2,3,4] => [3,5] => [5,3] => 2
[4,7,8,1,6,2,3,5] => [4,4] => [4,4] => 2
[3,7,1,8,6,2,4,5] => [3,1,4] => [4,3,1] => 3
[2,1,7,8,6,3,4,5] => [2,2,4] => [4,2,2] => 3
[2,1,8,7,6,3,4,5] => [2,1,1,4] => [4,2,1,1] => 4
[3,8,1,7,6,2,4,5] => [3,1,4] => [4,3,1] => 3
[4,8,7,1,6,2,3,5] => [2,2,4] => [4,2,2] => 3
[5,8,7,6,1,2,3,4] => [2,1,5] => [5,2,1] => 3
[6,8,7,5,1,2,3,4] => [2,1,5] => [5,2,1] => 3
[6,4,7,3,8,5,1,2] => [1,3,2,2] => [3,2,2,1] => 4
[6,4,7,3,5,8,1,2] => [1,4,3] => [4,3,1] => 3
[6,4,7,2,5,1,8,3] => [1,4,1,2] => [4,2,1,1] => 4
[5,4,2,7,6,1,3,8] => [1,2,1,4] => [4,2,1,1] => 4
[5,4,2,7,6,1,8,3] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[5,4,3,7,6,8,1,2] => [1,2,1,4] => [4,2,1,1] => 4
[5,4,3,7,8,6,1,2] => [1,2,3,2] => [3,2,2,1] => 4
[6,4,8,3,5,7,1,2] => [1,4,3] => [4,3,1] => 3
[5,4,3,8,6,7,1,2] => [1,2,1,4] => [4,2,1,1] => 4
[5,4,3,6,8,7,1,2] => [1,2,2,3] => [3,2,2,1] => 4
[5,4,2,6,7,1,8,3] => [1,2,3,2] => [3,2,2,1] => 4
[5,4,2,6,7,1,3,8] => [1,2,5] => [5,2,1] => 3
[5,3,2,6,1,7,4,8] => [1,2,2,3] => [3,2,2,1] => 4
[5,3,2,6,1,7,8,4] => [1,2,2,3] => [3,2,2,1] => 4
[5,3,2,6,1,8,7,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,4,2,6,8,1,7,3] => [1,2,4,1] => [4,2,1,1] => 4
[5,4,2,8,6,1,7,3] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[6,4,8,2,5,1,7,3] => [1,4,2,1] => [4,2,1,1] => 4
[7,8,4,2,5,1,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[7,8,4,2,5,1,3,6] => [2,3,3] => [3,3,2] => 3
[5,4,2,8,6,1,3,7] => [1,2,1,4] => [4,2,1,1] => 4
[5,3,2,6,1,8,4,7] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,2,1,6,8,5,7] => [1,2,1,4] => [4,2,1,1] => 4
[4,3,2,1,8,6,5,7] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[5,3,2,8,1,6,4,7] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,8,2,1,5,4,7] => [1,3,2,2] => [3,2,2,1] => 4
[7,8,3,2,1,5,4,6] => [3,1,2,2] => [3,2,2,1] => 4
[7,8,3,2,1,5,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[6,3,8,2,1,5,7,4] => [1,3,3,1] => [3,3,1,1] => 4
[5,3,2,8,1,6,7,4] => [1,2,4,1] => [4,2,1,1] => 4
[5,4,2,7,8,1,6,3] => [1,2,4,1] => [4,2,1,1] => 4
[5,3,2,7,1,8,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,3,2,7,1,6,8,4] => [1,2,3,2] => [3,2,2,1] => 4
[5,3,2,7,1,6,4,8] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,7,2,1,5,4,8] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,7,2,1,5,8,4] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,7,2,1,8,5,4] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[6,4,7,2,8,1,5,3] => [1,3,3,1] => [3,3,1,1] => 4
[6,5,7,8,2,1,4,3] => [1,4,2,1] => [4,2,1,1] => 4
[6,5,8,7,2,1,3,4] => [1,2,2,3] => [3,2,2,1] => 4
[6,3,7,2,1,8,4,5] => [1,3,1,3] => [3,3,1,1] => 4
[6,3,7,2,1,4,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,7,2,1,4,5,8] => [1,3,4] => [4,3,1] => 3
[5,3,2,7,1,4,8,6] => [1,2,3,2] => [3,2,2,1] => 4
[5,4,2,8,7,1,3,6] => [1,2,1,4] => [4,2,1,1] => 4
[7,8,4,2,6,1,3,5] => [2,2,4] => [4,2,2] => 3
[7,8,3,2,1,6,4,5] => [3,1,2,2] => [3,2,2,1] => 4
[6,3,8,2,1,7,4,5] => [1,3,1,3] => [3,3,1,1] => 4
[5,3,2,8,1,7,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,2,1,8,7,5,6] => [1,2,1,1,3] => [3,2,1,1,1] => 5
[4,3,2,1,7,5,8,6] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,3,2,1,7,5,6,8] => [1,2,1,4] => [4,2,1,1] => 4
[4,3,2,1,8,5,7,6] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[5,3,2,8,1,4,7,6] => [1,2,4,1] => [4,2,1,1] => 4
[6,3,8,2,1,4,7,5] => [1,3,3,1] => [3,3,1,1] => 4
[7,8,3,2,1,4,6,5] => [3,1,3,1] => [3,3,1,1] => 4
[6,3,8,2,1,4,5,7] => [1,3,4] => [4,3,1] => 3
[4,3,2,1,8,5,6,7] => [1,2,1,4] => [4,2,1,1] => 4
[4,3,2,1,5,8,6,7] => [1,2,2,3] => [3,2,2,1] => 4
[7,8,5,6,1,2,4,3] => [2,5,1] => [5,2,1] => 3
[7,8,4,1,6,2,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[7,8,1,4,6,2,5,3] => [4,3,1] => [4,3,1] => 3
[6,1,8,4,7,2,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[1,6,8,4,7,2,5,3] => [1,3,3,1] => [3,3,1,1] => 4
[1,6,8,3,2,7,5,4] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[6,1,8,3,2,7,5,4] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[7,8,1,3,2,6,5,4] => [4,2,1,1] => [4,2,1,1] => 4
[7,8,3,1,2,6,5,4] => [3,3,1,1] => [3,3,1,1] => 4
[7,8,3,4,6,5,1,2] => [4,2,2] => [4,2,2] => 3
[7,8,2,4,6,1,5,3] => [4,3,1] => [4,3,1] => 3
[7,8,2,3,1,6,5,4] => [4,2,1,1] => [4,2,1,1] => 4
[7,8,2,1,3,6,5,4] => [3,3,1,1] => [3,3,1,1] => 4
[7,8,1,2,3,6,5,4] => [6,1,1] => [6,1,1] => 3
[6,1,8,2,3,7,5,4] => [2,3,2,1] => [3,2,2,1] => 4
[1,6,8,2,3,7,5,4] => [1,4,2,1] => [4,2,1,1] => 4
[1,5,2,8,3,7,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,1,2,8,3,7,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[5,2,1,8,3,7,6,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[6,2,8,1,3,7,5,4] => [2,3,2,1] => [3,2,2,1] => 4
[6,2,8,3,1,7,5,4] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[6,2,8,4,7,1,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[6,3,8,4,7,5,1,2] => [1,3,2,2] => [3,2,2,1] => 4
[3,6,8,4,7,5,1,2] => [4,2,2] => [4,2,2] => 3
[2,6,8,4,7,1,5,3] => [4,3,1] => [4,3,1] => 3
[2,6,8,3,1,7,5,4] => [4,1,2,1] => [4,2,1,1] => 4
[2,6,8,1,3,7,5,4] => [5,2,1] => [5,2,1] => 3
[2,5,1,8,3,7,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[1,2,5,8,3,7,6,4] => [2,3,2,1] => [3,2,2,1] => 4
[2,4,1,3,8,7,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[2,5,3,8,1,7,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[2,5,4,8,7,1,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[3,5,4,8,7,6,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[5,3,4,8,7,6,1,2] => [1,3,2,2] => [3,2,2,1] => 4
[5,2,4,8,7,1,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[5,2,3,8,1,7,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[4,2,1,3,8,7,6,5] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[4,1,2,3,8,7,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[1,4,2,3,8,7,6,5] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[4,1,3,2,8,7,6,5] => [3,1,1,2,1] => [3,2,1,1,1] => 5
[4,3,1,2,8,7,6,5] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[6,3,8,1,2,7,5,4] => [1,4,2,1] => [4,2,1,1] => 4
[5,3,1,8,2,7,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,1,3,8,2,7,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[1,5,3,8,2,7,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,5,4,8,7,2,6,3] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[5,1,4,8,7,2,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[5,4,1,8,7,2,6,3] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[6,4,8,1,7,2,5,3] => [1,3,3,1] => [3,3,1,1] => 4
[6,5,8,7,1,2,4,3] => [1,2,4,1] => [4,2,1,1] => 4
[5,6,8,7,3,4,1,2] => [3,3,2] => [3,3,2] => 3
[5,6,8,7,2,1,4,3] => [3,2,2,1] => [3,2,2,1] => 4
[4,5,1,8,7,2,6,3] => [3,1,3,1] => [3,3,1,1] => 4
[4,1,5,8,7,2,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[1,4,5,8,7,2,6,3] => [1,3,3,1] => [3,3,1,1] => 4
[1,3,5,8,2,7,6,4] => [1,4,2,1] => [4,2,1,1] => 4
[3,1,5,8,2,7,6,4] => [2,3,2,1] => [3,2,2,1] => 4
[3,6,8,1,2,7,5,4] => [5,2,1] => [5,2,1] => 3
[3,6,8,2,1,7,5,4] => [4,1,2,1] => [4,2,1,1] => 4
[4,6,8,2,7,1,5,3] => [4,3,1] => [4,3,1] => 3
[4,6,8,3,7,5,1,2] => [4,2,2] => [4,2,2] => 3
[4,5,3,8,7,6,1,2] => [3,1,2,2] => [3,2,2,1] => 4
[4,5,2,8,7,1,6,3] => [3,1,3,1] => [3,3,1,1] => 4
[3,5,2,8,1,7,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[3,1,4,2,8,7,6,5] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[3,1,2,4,8,7,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[3,2,5,8,1,7,6,4] => [2,3,2,1] => [3,2,2,1] => 4
[4,2,5,8,7,1,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[4,3,5,8,7,6,1,2] => [1,3,2,2] => [3,2,2,1] => 4
[3,4,5,8,7,6,1,2] => [4,2,2] => [4,2,2] => 3
[2,4,5,8,7,1,6,3] => [4,3,1] => [4,3,1] => 3
[2,3,5,8,1,7,6,4] => [5,2,1] => [5,2,1] => 3
[4,1,3,2,6,5,8,7] => [3,1,2,2] => [3,2,2,1] => 4
[5,1,3,2,6,4,8,7] => [3,1,2,2] => [3,2,2,1] => 4
[6,1,3,2,5,4,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[7,1,3,2,5,4,8,6] => [3,2,1,2] => [3,2,2,1] => 4
[8,1,3,2,5,4,7,6] => [3,2,2,1] => [3,2,2,1] => 4
[8,1,4,2,5,3,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[7,1,4,2,5,3,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[6,1,4,2,5,3,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[5,1,4,2,6,3,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,6,3,5,4,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[3,1,6,2,5,4,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[4,1,6,2,5,3,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[6,2,5,1,4,3,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[5,2,6,1,4,3,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[5,2,7,1,4,3,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[5,2,8,1,4,3,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[6,2,8,1,4,3,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[6,2,7,1,4,3,8,5] => [2,3,1,2] => [3,2,2,1] => 4
[7,2,6,1,4,3,8,5] => [2,3,1,2] => [3,2,2,1] => 4
[7,2,5,1,4,3,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[4,1,7,2,5,3,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[3,1,7,2,5,4,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[2,1,7,3,5,4,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[2,1,8,3,5,4,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[3,1,8,2,5,4,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[4,1,8,2,5,3,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[8,2,5,1,4,3,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[8,2,6,1,4,3,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[7,1,4,3,8,2,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,4,3,7,2,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,5,3,7,2,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[7,1,5,3,8,2,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,2,6,1,5,3,7,4] => [2,3,2,1] => [3,2,2,1] => 4
[5,1,8,2,6,3,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,8,2,6,3,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,8,2,6,4,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[2,1,8,3,6,4,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[2,1,7,3,6,4,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,7,2,6,3,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[5,1,7,2,6,3,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[7,2,6,1,5,3,8,4] => [2,3,1,2] => [3,2,2,1] => 4
[6,2,7,1,5,3,8,4] => [2,3,1,2] => [3,2,2,1] => 4
[6,2,8,1,5,3,7,4] => [2,3,2,1] => [3,2,2,1] => 4
[8,1,5,2,6,3,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[6,1,5,2,7,3,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[6,1,4,2,7,3,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[8,1,4,2,6,3,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,3,2,6,4,7,5] => [3,1,3,1] => [3,3,1,1] => 4
[7,1,3,2,6,4,8,5] => [3,1,2,2] => [3,2,2,1] => 4
[6,1,3,2,7,4,8,5] => [3,1,2,2] => [3,2,2,1] => 4
[5,1,3,2,7,4,8,6] => [3,1,2,2] => [3,2,2,1] => 4
[4,1,3,2,7,5,8,6] => [3,1,2,2] => [3,2,2,1] => 4
[2,1,4,3,8,5,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,4,2,8,5,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,3,2,8,5,7,6] => [3,1,3,1] => [3,3,1,1] => 4
[5,1,3,2,8,4,7,6] => [3,1,3,1] => [3,3,1,1] => 4
[6,1,3,2,8,4,7,5] => [3,1,3,1] => [3,3,1,1] => 4
[8,4,7,1,3,2,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[7,4,8,1,3,2,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[7,3,8,1,4,2,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[8,3,7,1,4,2,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[6,1,4,2,8,3,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[5,1,4,2,8,3,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,5,2,8,3,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,5,2,8,4,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[2,1,5,3,8,4,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[2,1,6,3,8,4,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,6,2,8,4,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,6,2,8,3,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[5,1,6,2,8,3,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[6,1,5,2,8,3,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,3,7,1,5,2,6,4] => [1,4,2,1] => [4,2,1,1] => 4
[7,3,8,1,5,2,6,4] => [1,4,2,1] => [4,2,1,1] => 4
[6,2,7,3,8,1,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[6,2,8,3,7,1,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,3,7,2,6,1,5,4] => [1,3,3,1] => [3,3,1,1] => 4
[5,1,8,3,7,2,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,8,3,7,2,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,8,4,7,2,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[2,1,8,4,7,3,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[2,1,7,4,8,3,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,7,4,8,2,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,7,3,8,2,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[5,1,7,3,8,2,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[7,3,8,2,6,1,5,4] => [1,3,3,1] => [3,3,1,1] => 4
[8,2,6,3,7,1,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[7,2,6,3,8,1,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[3,4,2,6,8,1,5,7] => [3,5] => [5,3] => 2
[5,3,6,2,8,1,4,7] => [1,3,4] => [4,3,1] => 3
[5,3,6,2,4,8,1,7] => [1,4,3] => [4,3,1] => 3
[5,7,3,8,2,4,1,6] => [3,3,2] => [3,3,2] => 3
[5,7,3,8,2,4,6,1] => [3,4,1] => [4,3,1] => 3
[7,4,2,5,8,3,6,1] => [1,2,4,1] => [4,2,1,1] => 4
[7,4,2,5,8,3,1,6] => [1,2,3,2] => [3,2,2,1] => 4
[4,5,2,6,3,8,1,7] => [3,2,3] => [3,3,2] => 3
[4,5,2,1,6,8,3,7] => [3,1,4] => [4,3,1] => 3
[5,3,1,6,8,2,4,7] => [1,2,5] => [5,2,1] => 3
[5,6,2,8,1,3,4,7] => [3,5] => [5,3] => 2
[3,5,6,1,4,8,2,7] => [5,3] => [5,3] => 2
[4,1,5,6,3,8,2,7] => [2,3,3] => [3,3,2] => 3
[4,5,1,6,3,8,2,7] => [3,2,3] => [3,3,2] => 3
[4,5,6,3,2,8,1,7] => [4,1,3] => [4,3,1] => 3
[7,4,5,3,8,2,1,6] => [1,3,2,2] => [3,2,2,1] => 4
[7,4,5,3,8,2,6,1] => [1,3,3,1] => [3,3,1,1] => 4
[6,7,4,8,3,2,5,1] => [2,3,2,1] => [3,2,2,1] => 4
[6,7,4,8,3,2,1,5] => [2,3,1,2] => [3,2,2,1] => 4
[6,7,4,1,8,3,2,5] => [2,2,2,2] => [2,2,2,2] => 4
[7,4,5,3,1,8,2,6] => [1,3,1,3] => [3,3,1,1] => 4
[4,7,1,5,8,3,2,6] => [3,3,2] => [3,3,2] => 3
[5,3,7,8,1,4,2,6] => [1,5,2] => [5,2,1] => 3
[7,5,8,2,4,6,1,3] => [1,5,2] => [5,2,1] => 3
[7,3,5,8,1,4,6,2] => [1,6,1] => [6,1,1] => 3
[4,5,1,7,8,3,6,2] => [3,4,1] => [4,3,1] => 3
[7,4,1,5,8,3,6,2] => [1,2,4,1] => [4,2,1,1] => 4
[6,7,4,3,8,1,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[6,7,4,8,3,1,5,2] => [2,3,2,1] => [3,2,2,1] => 4
[6,7,4,8,3,5,2,1] => [2,4,1,1] => [4,2,1,1] => 4
[5,6,7,3,8,4,2,1] => [4,2,1,1] => [4,2,1,1] => 4
[5,6,7,3,1,8,4,2] => [4,1,2,1] => [4,2,1,1] => 4
[5,6,1,7,3,8,4,2] => [3,2,2,1] => [3,2,2,1] => 4
[5,1,6,7,3,8,4,2] => [2,3,2,1] => [3,2,2,1] => 4
[6,4,7,1,8,3,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[6,7,8,3,1,4,5,2] => [4,3,1] => [4,3,1] => 3
[6,7,2,8,4,5,1,3] => [3,3,2] => [3,3,2] => 3
[6,7,2,8,4,1,3,5] => [3,2,3] => [3,3,2] => 3
[6,1,7,4,8,3,2,5] => [2,2,2,2] => [2,2,2,2] => 4
[5,1,6,7,3,2,8,4] => [2,3,1,2] => [3,2,2,1] => 4
[5,6,1,7,3,2,8,4] => [3,2,1,2] => [3,2,2,1] => 4
[5,6,7,3,2,1,8,4] => [4,1,1,2] => [4,2,1,1] => 4
[5,6,7,3,2,8,4,1] => [4,1,2,1] => [4,2,1,1] => 4
[5,6,2,7,3,8,4,1] => [3,2,2,1] => [3,2,2,1] => 4
[5,6,2,7,3,1,8,4] => [3,2,1,2] => [3,2,2,1] => 4
[5,6,2,1,7,3,8,4] => [3,1,2,2] => [3,2,2,1] => 4
[6,1,7,4,2,8,3,5] => [2,2,1,3] => [3,2,2,1] => 4
[6,7,2,1,8,3,4,5] => [3,1,4] => [4,3,1] => 3
[7,5,8,2,1,3,4,6] => [1,3,4] => [4,3,1] => 3
[5,7,3,1,8,2,4,6] => [3,1,4] => [4,3,1] => 3
[4,7,1,5,2,8,3,6] => [3,2,3] => [3,3,2] => 3
[7,4,2,5,1,8,3,6] => [1,2,2,3] => [3,2,2,1] => 4
[6,7,4,2,1,8,3,5] => [2,2,1,3] => [3,2,2,1] => 4
[6,7,4,2,8,3,1,5] => [2,2,2,2] => [2,2,2,2] => 4
[6,7,4,2,8,3,5,1] => [2,2,3,1] => [3,2,2,1] => 4
[3,6,7,2,8,4,5,1] => [4,3,1] => [4,3,1] => 3
[3,6,7,2,8,4,1,5] => [4,2,2] => [4,2,2] => 3
[3,6,7,2,1,8,4,5] => [4,1,3] => [4,3,1] => 3
[5,7,3,8,2,1,4,6] => [3,2,3] => [3,3,2] => 3
[3,4,7,8,2,1,5,6] => [5,3] => [5,3] => 2
[3,7,8,1,4,6,2,5] => [6,2] => [6,2] => 2
[3,4,7,8,2,6,1,5] => [6,2] => [6,2] => 2
[5,7,3,8,2,6,1,4] => [3,3,2] => [3,3,2] => 3
[3,6,7,2,8,5,1,4] => [4,2,2] => [4,2,2] => 3
[3,6,7,8,5,2,1,4] => [5,1,2] => [5,2,1] => 3
[3,6,7,8,5,2,4,1] => [5,2,1] => [5,2,1] => 3
[6,4,7,8,2,5,3,1] => [1,5,1,1] => [5,1,1,1] => 4
[6,4,7,8,2,1,5,3] => [1,4,2,1] => [4,2,1,1] => 4
[4,1,5,7,8,2,6,3] => [2,5,1] => [5,2,1] => 3
[5,3,7,8,1,6,2,4] => [1,5,2] => [5,2,1] => 3
[6,7,2,8,5,1,3,4] => [3,2,3] => [3,3,2] => 3
[6,4,1,7,8,2,5,3] => [1,2,4,1] => [4,2,1,1] => 4
[5,1,6,2,7,8,4,3] => [2,2,3,1] => [3,2,2,1] => 4
[5,6,2,1,7,8,4,3] => [3,1,3,1] => [3,3,1,1] => 4
[5,6,2,7,1,8,4,3] => [3,2,2,1] => [3,2,2,1] => 4
[5,6,2,7,8,4,3,1] => [3,3,1,1] => [3,3,1,1] => 4
[5,6,7,2,8,4,3,1] => [4,2,1,1] => [4,2,1,1] => 4
[5,6,7,2,1,8,4,3] => [4,1,2,1] => [4,2,1,1] => 4
[5,6,1,7,2,8,4,3] => [3,2,2,1] => [3,2,2,1] => 4
[5,1,6,7,2,8,4,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,4,7,1,8,2,5,3] => [1,3,3,1] => [3,3,1,1] => 4
[3,6,7,1,8,5,2,4] => [4,2,2] => [4,2,2] => 3
[6,7,8,5,2,4,1,3] => [3,3,2] => [3,3,2] => 3
[6,7,8,3,5,1,4,2] => [5,2,1] => [5,2,1] => 3
[4,6,7,8,1,5,3,2] => [6,1,1] => [6,1,1] => 3
[5,1,6,7,8,4,3,2] => [2,4,1,1] => [4,2,1,1] => 4
[5,6,1,7,8,4,3,2] => [3,3,1,1] => [3,3,1,1] => 4
[5,6,7,1,8,4,3,2] => [4,2,1,1] => [4,2,1,1] => 4
[8,6,1,3,4,2,5,7] => [1,4,3] => [4,3,1] => 3
[8,3,2,5,1,6,4,7] => [1,2,3,2] => [3,2,2,1] => 4
[8,5,3,6,2,4,1,7] => [1,2,3,2] => [3,2,2,1] => 4
[5,3,2,7,4,1,8,6] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[7,5,3,8,2,4,6,1] => [1,2,4,1] => [4,2,1,1] => 4
[7,2,4,5,8,3,6,1] => [2,5,1] => [5,2,1] => 3
[2,4,5,3,7,1,8,6] => [4,2,2] => [4,2,2] => 3
[8,2,4,5,6,3,1,7] => [2,4,2] => [4,2,2] => 3
[8,2,4,5,6,1,3,7] => [2,6] => [6,2] => 2
[8,1,2,4,5,6,3,7] => [6,2] => [6,2] => 2
[8,2,5,1,3,6,4,7] => [2,4,2] => [4,2,2] => 3
[8,5,6,2,1,4,3,7] => [1,3,2,2] => [3,2,2,1] => 4
[8,5,3,6,4,1,2,7] => [1,2,2,3] => [3,2,2,1] => 4
[8,4,1,5,6,3,2,7] => [1,2,3,2] => [3,2,2,1] => 4
[8,1,4,5,6,3,2,7] => [2,4,2] => [4,2,2] => 3
[4,5,3,7,2,1,8,6] => [3,2,1,2] => [3,2,2,1] => 4
[7,4,5,8,3,2,6,1] => [1,4,2,1] => [4,2,1,1] => 4
[4,3,6,7,2,8,5,1] => [1,4,2,1] => [4,2,1,1] => 4
[4,3,6,7,2,8,1,5] => [1,4,3] => [4,3,1] => 3
[1,4,3,6,7,2,8,5] => [1,2,3,2] => [3,2,2,1] => 4
[4,5,3,7,1,8,2,6] => [3,2,3] => [3,3,2] => 3
[4,1,5,3,7,2,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[5,3,4,7,1,2,8,6] => [1,5,2] => [5,2,1] => 3
[7,5,8,2,1,4,6,3] => [1,3,3,1] => [3,3,1,1] => 4
[7,5,3,8,4,1,6,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[7,4,5,8,3,6,1,2] => [1,5,2] => [5,2,1] => 3
[4,3,6,7,8,1,5,2] => [1,6,1] => [6,1,1] => 3
[1,6,4,7,8,3,5,2] => [1,1,5,1] => [5,1,1,1] => 4
[6,4,7,8,3,5,2,1] => [1,5,1,1] => [5,1,1,1] => 4
[3,5,6,7,8,4,1,2] => [6,2] => [6,2] => 2
[3,1,5,6,7,8,4,2] => [2,5,1] => [5,2,1] => 3
[4,6,1,7,8,3,5,2] => [3,4,1] => [4,3,1] => 3
[3,6,7,1,4,8,5,2] => [5,2,1] => [5,2,1] => 3
[6,2,4,1,7,8,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[2,6,7,1,4,8,3,5] => [5,3] => [5,3] => 2
[4,3,6,7,8,1,2,5] => [1,7] => [7,1] => 2
[1,5,3,6,7,8,2,4] => [1,2,5] => [5,2,1] => 3
[3,5,6,7,8,2,1,4] => [6,2] => [6,2] => 2
[3,5,6,7,8,2,4,1] => [7,1] => [7,1] => 2
[5,2,7,1,3,8,4,6] => [2,3,3] => [3,3,2] => 3
[5,3,1,7,8,2,4,6] => [1,2,5] => [5,2,1] => 3
[4,5,2,7,8,1,3,6] => [3,5] => [5,3] => 2
[4,2,6,7,8,3,1,5] => [2,4,2] => [4,2,2] => 3
[4,2,6,7,8,3,5,1] => [2,5,1] => [5,2,1] => 3
[3,6,2,7,4,8,5,1] => [3,2,2,1] => [3,2,2,1] => 4
[3,6,2,7,4,8,1,5] => [3,2,3] => [3,3,2] => 3
[3,2,1,6,4,7,8,5] => [2,1,2,3] => [3,2,2,1] => 4
[3,7,4,2,1,5,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[1,7,3,4,2,5,8,6] => [1,3,2,2] => [3,2,2,1] => 4
[4,7,2,1,3,5,8,6] => [3,3,2] => [3,3,2] => 3
[7,8,4,2,1,3,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[7,8,1,3,4,2,6,5] => [5,2,1] => [5,2,1] => 3
[7,8,3,4,2,1,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[6,3,2,7,1,8,5,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[3,6,2,7,1,8,5,4] => [3,2,2,1] => [3,2,2,1] => 4
[6,7,3,8,2,5,4,1] => [3,3,1,1] => [3,3,1,1] => 4
[6,4,7,8,5,2,3,1] => [1,4,2,1] => [4,2,1,1] => 4
[2,6,4,7,8,1,5,3] => [2,5,1] => [5,2,1] => 3
[4,6,2,7,8,1,5,3] => [3,4,1] => [4,3,1] => 3
[7,4,5,8,6,2,1,3] => [1,3,2,2] => [3,2,2,1] => 4
[7,4,1,5,8,6,2,3] => [1,2,3,2] => [3,2,2,1] => 4
[7,5,3,8,6,1,2,4] => [1,2,1,4] => [4,2,1,1] => 4
[7,5,8,2,1,6,3,4] => [1,3,2,2] => [3,2,2,1] => 4
[6,2,7,1,3,8,5,4] => [2,3,2,1] => [3,2,2,1] => 4
[6,3,1,7,8,2,5,4] => [1,2,4,1] => [4,2,1,1] => 4
[4,6,1,7,8,5,2,3] => [3,3,2] => [3,3,2] => 3
[5,1,2,6,7,8,4,3] => [3,4,1] => [4,3,1] => 3
[5,2,6,7,8,4,1,3] => [2,4,2] => [4,2,2] => 3
[5,2,6,7,8,4,3,1] => [2,4,1,1] => [4,2,1,1] => 4
[2,5,6,7,8,4,1,3] => [6,2] => [6,2] => 2
[1,5,2,6,7,8,4,3] => [1,2,4,1] => [4,2,1,1] => 4
[1,6,4,7,8,5,2,3] => [1,1,4,2] => [4,2,1,1] => 4
[2,6,7,1,3,8,5,4] => [5,2,1] => [5,2,1] => 3
[6,7,8,2,1,5,4,3] => [4,2,1,1] => [4,2,1,1] => 4
[6,7,3,8,5,1,4,2] => [3,2,2,1] => [3,2,2,1] => 4
[6,4,7,8,5,3,1,2] => [1,4,1,2] => [4,2,1,1] => 4
[4,5,2,3,7,6,1,8] => [4,2,2] => [4,2,2] => 3
[6,4,3,7,2,5,1,8] => [1,2,3,2] => [3,2,2,1] => 4
[8,4,3,6,5,1,2,7] => [1,2,2,3] => [3,2,2,1] => 4
[1,5,6,3,4,8,7,2] => [1,4,2,1] => [4,2,1,1] => 4
[4,6,2,7,3,5,1,8] => [3,3,2] => [3,3,2] => 3
[3,2,6,7,4,5,1,8] => [2,4,2] => [4,2,2] => 3
[4,7,2,6,5,3,1,8] => [3,2,1,2] => [3,2,2,1] => 4
[5,7,6,2,4,3,1,8] => [2,3,1,2] => [3,2,2,1] => 4
[1,7,5,4,8,3,6,2] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[8,7,5,4,1,3,2,6] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[6,8,5,4,2,1,3,7] => [2,2,1,3] => [3,2,2,1] => 4
[5,8,6,2,4,1,3,7] => [2,3,3] => [3,3,2] => 3
[4,8,2,6,5,1,3,7] => [3,2,3] => [3,3,2] => 3
[3,2,8,6,5,1,4,7] => [2,1,2,3] => [3,2,2,1] => 4
[4,1,2,6,5,8,7,3] => [3,2,2,1] => [3,2,2,1] => 4
[5,1,6,2,4,8,7,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,1,5,4,2,8,7,3] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[7,1,5,4,8,2,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,5,4,7,6,2,3] => [2,2,2,2] => [2,2,2,2] => 4
[1,8,6,7,4,5,3,2] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[8,1,6,7,4,5,2,3] => [2,4,2] => [4,2,2] => 3
[7,1,6,8,4,2,5,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,1,7,8,2,4,5,3] => [2,5,1] => [5,2,1] => 3
[5,1,7,2,8,4,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,2,7,8,5,6,3] => [3,4,1] => [4,3,1] => 3
[3,2,1,7,8,5,6,4] => [2,1,4,1] => [4,2,1,1] => 4
[3,2,8,7,1,5,4,6] => [2,1,3,2] => [3,2,2,1] => 4
[4,8,2,7,1,5,3,6] => [3,3,2] => [3,3,2] => 3
[5,8,7,2,1,4,3,6] => [2,2,2,2] => [2,2,2,2] => 4
[6,8,7,1,2,4,3,5] => [2,4,2] => [4,2,2] => 3
[7,8,6,1,4,2,3,5] => [2,3,3] => [3,3,2] => 3
[8,7,6,1,4,3,2,5] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[1,7,6,8,4,3,5,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[1,6,7,8,3,4,5,2] => [1,6,1] => [6,1,1] => 3
[8,6,7,1,3,4,2,5] => [1,5,2] => [5,2,1] => 3
[7,6,8,1,3,2,4,5] => [1,4,3] => [4,3,1] => 3
[5,7,8,2,1,3,4,6] => [4,4] => [4,4] => 2
[4,7,2,8,1,3,5,6] => [3,5] => [5,3] => 2
[3,2,6,8,4,1,5,7] => [2,3,3] => [3,3,2] => 3
[4,6,2,8,3,1,5,7] => [3,2,3] => [3,3,2] => 3
[5,6,8,2,3,1,4,7] => [5,3] => [5,3] => 2
[6,5,8,3,2,1,4,7] => [1,3,1,3] => [3,3,1,1] => 4
[7,5,8,3,1,2,4,6] => [1,3,4] => [4,3,1] => 3
[8,5,7,3,1,4,2,6] => [1,3,2,2] => [3,2,2,1] => 4
[1,5,7,3,8,4,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[1,4,3,7,8,5,6,2] => [1,2,4,1] => [4,2,1,1] => 4
[8,4,3,7,1,5,2,6] => [1,2,3,2] => [3,2,2,1] => 4
[6,4,3,8,2,1,5,7] => [1,2,2,3] => [3,2,2,1] => 4
[4,5,2,3,8,1,6,7] => [4,4] => [4,4] => 2
[3,2,5,4,8,1,6,7] => [2,2,4] => [4,2,2] => 3
[4,5,2,3,1,8,7,6] => [4,1,2,1] => [4,2,1,1] => 4
[6,4,3,1,2,8,7,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[7,4,3,1,8,2,6,5] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[8,4,3,1,7,6,2,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[1,5,8,3,7,6,4,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[8,5,1,3,7,6,2,4] => [1,3,2,2] => [3,2,2,1] => 4
[7,5,1,3,8,2,6,4] => [1,3,3,1] => [3,3,1,1] => 4
[6,5,1,3,2,8,7,4] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[5,6,1,2,3,8,7,4] => [5,2,1] => [5,2,1] => 3
[4,6,2,1,3,8,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[3,2,6,1,4,8,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[3,2,7,1,8,4,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[4,7,2,1,8,3,6,5] => [3,1,3,1] => [3,3,1,1] => 4
[5,7,1,2,8,3,6,4] => [4,3,1] => [4,3,1] => 3
[6,7,1,8,2,3,5,4] => [3,4,1] => [4,3,1] => 3
[7,6,1,8,3,2,5,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,6,1,7,3,5,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[1,6,8,7,3,5,4,2] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[1,7,8,6,5,3,4,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,7,1,6,5,3,2,4] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[7,8,1,6,5,2,3,4] => [3,2,3] => [3,3,2] => 3
[6,8,1,7,2,5,3,4] => [3,3,2] => [3,3,2] => 3
[5,8,1,2,7,6,3,4] => [4,2,2] => [4,2,2] => 3
[4,8,2,1,7,6,3,5] => [3,1,2,2] => [3,2,2,1] => 4
[3,2,8,1,7,6,4,5] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,2,8,7,6,5,3] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[5,1,8,2,7,6,4,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[6,1,8,7,2,5,4,3] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[7,1,8,6,5,2,4,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[8,1,7,6,5,4,2,3] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[3,1,2,6,5,8,7,4] => [3,2,2,1] => [3,2,2,1] => 4
[3,1,6,2,4,8,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[3,1,5,2,4,8,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[4,5,1,2,3,8,7,6] => [5,2,1] => [5,2,1] => 3
[4,6,1,2,3,8,7,5] => [5,2,1] => [5,2,1] => 3
[1,6,5,3,4,8,7,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[6,1,5,2,4,8,7,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,5,1,2,3,8,7,4] => [1,4,2,1] => [4,2,1,1] => 4
[6,4,1,2,3,8,7,5] => [1,4,2,1] => [4,2,1,1] => 4
[5,4,1,2,3,8,7,6] => [1,4,2,1] => [4,2,1,1] => 4
[5,4,1,2,7,3,6,8] => [1,3,4] => [4,3,1] => 3
[6,4,1,7,2,3,5,8] => [1,2,5] => [5,2,1] => 3
[6,4,1,8,2,3,5,7] => [1,2,5] => [5,2,1] => 3
[7,4,1,2,8,3,6,5] => [1,3,3,1] => [3,3,1,1] => 4
[7,5,1,2,8,3,6,4] => [1,3,3,1] => [3,3,1,1] => 4
[7,1,5,2,8,4,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[1,7,5,3,8,4,6,2] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[1,8,5,3,7,4,6,2] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[8,1,5,2,7,4,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,5,1,2,7,3,6,4] => [1,3,3,1] => [3,3,1,1] => 4
[8,4,1,2,7,3,6,5] => [1,3,3,1] => [3,3,1,1] => 4
[8,4,1,7,2,3,5,6] => [1,2,5] => [5,2,1] => 3
[7,4,1,6,2,3,5,8] => [1,2,5] => [5,2,1] => 3
[8,6,1,7,2,3,5,4] => [1,2,4,1] => [4,2,1,1] => 4
[8,1,6,7,2,4,5,3] => [2,5,1] => [5,2,1] => 3
[1,8,6,7,3,4,5,2] => [1,1,5,1] => [5,1,1,1] => 4
[1,7,6,8,3,4,5,2] => [1,1,5,1] => [5,1,1,1] => 4
[7,1,6,8,2,4,5,3] => [2,5,1] => [5,2,1] => 3
[7,6,1,8,2,3,5,4] => [1,2,4,1] => [4,2,1,1] => 4
[4,7,1,2,8,3,6,5] => [4,3,1] => [4,3,1] => 3
[3,1,7,2,8,4,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,2,7,8,5,6,4] => [3,4,1] => [4,3,1] => 3
[1,4,3,8,7,5,6,2] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[4,1,2,8,7,5,6,3] => [3,1,3,1] => [3,3,1,1] => 4
[3,1,2,8,7,5,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[3,1,8,2,7,4,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,8,7,2,4,5,6] => [2,1,5] => [5,2,1] => 3
[3,1,7,6,2,4,5,8] => [2,1,5] => [5,2,1] => 3
[4,7,1,6,2,3,5,8] => [3,5] => [5,3] => 2
[4,8,1,6,2,3,5,7] => [3,5] => [5,3] => 2
[4,8,1,7,2,3,5,6] => [3,5] => [5,3] => 2
[4,8,1,2,7,3,6,5] => [4,3,1] => [4,3,1] => 3
[5,8,1,2,7,3,6,4] => [4,3,1] => [4,3,1] => 3
[5,1,8,2,7,4,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[1,5,8,3,7,4,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[1,6,8,7,3,4,5,2] => [1,2,4,1] => [4,2,1,1] => 4
[6,1,8,7,2,4,5,3] => [2,1,4,1] => [4,2,1,1] => 4
[6,8,1,7,2,3,5,4] => [3,4,1] => [4,3,1] => 3
[6,8,7,1,2,3,4,5] => [2,6] => [6,2] => 2
[5,8,7,1,2,3,4,6] => [2,6] => [6,2] => 2
[5,8,6,1,2,3,4,7] => [2,6] => [6,2] => 2
[5,7,6,1,2,3,4,8] => [2,6] => [6,2] => 2
[7,8,1,6,2,3,5,4] => [3,4,1] => [4,3,1] => 3
[7,1,8,6,2,4,5,3] => [2,1,4,1] => [4,2,1,1] => 4
[1,7,8,6,3,4,5,2] => [1,2,4,1] => [4,2,1,1] => 4
[1,8,7,6,3,4,5,2] => [1,1,1,4,1] => [4,1,1,1,1] => 5
[8,1,7,6,2,4,5,3] => [2,1,4,1] => [4,2,1,1] => 4
[8,7,1,6,2,3,5,4] => [1,2,4,1] => [4,2,1,1] => 4
[3,2,5,1,6,4,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,5,4,7,1,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[4,2,5,3,7,6,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[4,2,5,3,7,1,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[4,2,5,3,6,1,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[4,2,5,1,6,3,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,5,4,6,2,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,5,3,6,2,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[4,3,5,1,6,2,8,7] => [1,3,2,2] => [3,2,2,1] => 4
[4,3,5,2,7,1,8,6] => [1,3,2,2] => [3,2,2,1] => 4
[4,3,6,2,7,5,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[4,3,6,2,7,1,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[4,3,6,1,7,2,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[4,3,5,1,7,2,8,6] => [1,3,2,2] => [3,2,2,1] => 4
[3,1,5,4,7,2,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,5,4,7,3,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,5,4,7,6,8,2] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,5,3,7,6,8,2] => [2,2,2,2] => [2,2,2,2] => 4
[4,3,5,1,7,6,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[4,3,6,1,7,5,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[4,3,6,5,7,1,8,2] => [1,2,3,2] => [3,2,2,1] => 4
[5,3,6,4,7,2,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[5,3,6,4,7,1,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[5,3,6,1,7,4,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[5,1,6,3,7,4,8,2] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,6,3,7,5,8,2] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,6,4,7,5,8,2] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,6,4,7,5,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,6,4,7,3,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,6,4,7,2,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,6,3,7,2,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[5,1,6,3,7,2,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[5,3,6,1,7,2,8,4] => [1,3,2,2] => [3,2,2,1] => 4
[5,3,6,2,7,1,8,4] => [1,3,2,2] => [3,2,2,1] => 4
[5,3,6,2,7,4,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[5,2,6,3,7,4,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[5,2,6,3,7,1,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[5,2,6,1,7,3,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[4,2,5,1,7,3,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[4,2,6,1,7,3,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[4,2,6,3,7,1,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[4,2,6,3,7,5,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,6,4,7,5,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,6,4,7,1,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,6,1,7,4,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,5,1,7,4,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,4,1,7,5,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,4,2,7,6,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,5,1,7,6,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,6,1,7,5,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,6,5,7,1,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[4,2,6,5,7,3,8,1] => [2,1,3,2] => [3,2,2,1] => 4
[4,2,6,5,7,1,8,3] => [2,1,3,2] => [3,2,2,1] => 4
[4,2,6,1,7,5,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[4,2,5,1,7,6,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,5,2,7,6,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,5,2,7,6,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,5,3,7,6,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,6,3,7,5,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,6,2,7,5,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,6,2,7,5,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[5,1,6,2,7,4,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[5,2,6,1,7,4,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[5,2,6,4,7,1,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[5,2,6,4,7,3,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[5,4,6,2,7,3,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[5,4,6,2,7,1,8,3] => [1,3,2,2] => [3,2,2,1] => 4
[5,4,6,1,7,2,8,3] => [1,3,2,2] => [3,2,2,1] => 4
[5,1,6,4,7,2,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,6,5,7,2,8,3] => [2,1,3,2] => [3,2,2,1] => 4
[3,1,6,5,7,2,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[2,1,6,5,7,3,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[3,1,6,5,7,4,8,2] => [2,1,3,2] => [3,2,2,1] => 4
[4,1,6,5,7,3,8,2] => [2,1,3,2] => [3,2,2,1] => 4
[5,1,6,4,7,3,8,2] => [2,2,2,2] => [2,2,2,2] => 4
[5,4,6,1,7,3,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[5,4,6,3,7,1,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[8,3,5,2,1,6,4,7] => [1,3,2,2] => [3,2,2,1] => 4
[8,6,3,5,2,4,1,7] => [1,2,3,2] => [3,2,2,1] => 4
[3,7,5,2,4,1,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[8,3,7,5,2,4,6,1] => [1,2,4,1] => [4,2,1,1] => 4
[8,2,4,5,7,3,6,1] => [2,5,1] => [5,2,1] => 3
[2,4,5,7,3,1,8,6] => [5,1,2] => [5,2,1] => 3
[8,2,4,6,5,3,1,7] => [2,3,1,2] => [3,2,2,1] => 4
[8,2,5,4,6,1,3,7] => [2,2,4] => [4,2,2] => 3
[8,6,3,5,1,4,2,7] => [1,2,3,2] => [3,2,2,1] => 4
[8,6,1,4,5,3,2,7] => [1,4,1,2] => [4,2,1,1] => 4
[8,1,5,6,4,3,2,7] => [2,3,1,2] => [3,2,2,1] => 4
[5,7,4,3,2,1,8,6] => [2,2,1,1,2] => [2,2,2,1,1] => 5
[8,5,7,4,3,2,6,1] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[4,6,8,3,2,7,5,1] => [4,1,2,1] => [4,2,1,1] => 4
[4,7,6,3,2,8,1,5] => [2,2,1,3] => [3,2,2,1] => 4
[1,4,6,7,3,2,8,5] => [1,4,1,2] => [4,2,1,1] => 4
[5,4,7,3,1,8,2,6] => [1,3,1,3] => [3,3,1,1] => 4
[1,7,4,5,3,2,8,6] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[3,7,5,1,4,2,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[5,7,4,2,1,3,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[8,5,7,4,2,1,6,3] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[8,3,7,5,1,4,6,2] => [1,2,4,1] => [4,2,1,1] => 4
[8,4,1,7,5,3,6,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,6,3,8,7,1,5,2] => [3,1,3,1] => [3,3,1,1] => 4
[1,7,4,8,6,3,5,2] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[8,4,7,6,3,5,2,1] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[3,6,5,8,7,4,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,5,8,6,7,4,2] => [2,2,3,1] => [3,2,2,1] => 4
[4,8,1,6,7,3,5,2] => [3,4,1] => [4,3,1] => 3
[3,6,4,1,8,7,5,2] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[8,2,6,1,4,7,5,3] => [2,3,2,1] => [3,2,2,1] => 4
[2,7,6,8,1,4,3,5] => [2,4,2] => [4,2,2] => 3
[3,7,1,6,4,8,2,5] => [3,2,3] => [3,3,2] => 3
[1,7,3,5,6,8,2,4] => [1,2,5] => [5,2,1] => 3
[1,3,6,7,5,8,2,4] => [1,4,3] => [4,3,1] => 3
[3,7,6,5,8,2,1,4] => [2,1,3,2] => [3,2,2,1] => 4
[3,6,8,5,7,2,4,1] => [3,4,1] => [4,3,1] => 3
[2,3,5,7,6,8,1,4] => [4,4] => [4,4] => 2
[2,1,6,5,7,8,3,4] => [2,1,5] => [5,2,1] => 3
[4,2,7,6,8,3,1,5] => [2,1,3,2] => [3,2,2,1] => 4
[4,2,6,8,7,3,5,1] => [2,2,3,1] => [3,2,2,1] => 4
[3,8,2,4,6,7,5,1] => [4,3,1] => [4,3,1] => 3
[3,7,2,6,4,8,1,5] => [3,2,3] => [3,3,2] => 3
[3,2,6,1,4,7,8,5] => [2,3,3] => [3,3,2] => 3
[5,3,7,2,1,8,4,6] => [1,3,1,3] => [3,3,1,1] => 4
[4,7,3,2,1,5,8,6] => [3,1,2,2] => [3,2,2,1] => 4
[8,7,6,1,3,4,2,5] => [1,1,4,2] => [4,2,1,1] => 4
[8,5,7,3,2,1,6,4] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[8,3,6,7,2,1,5,4] => [1,4,2,1] => [4,2,1,1] => 4
[3,7,8,6,2,1,5,4] => [3,2,2,1] => [3,2,2,1] => 4
[8,7,6,3,5,2,4,1] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[2,7,4,8,1,6,5,3] => [2,4,1,1] => [4,2,1,1] => 4
[4,6,8,2,1,7,5,3] => [4,1,2,1] => [4,2,1,1] => 4
[8,4,1,5,7,2,6,3] => [1,2,4,1] => [4,2,1,1] => 4
[8,5,3,7,1,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[8,5,7,2,1,3,6,4] => [1,3,3,1] => [3,3,1,1] => 4
[8,2,6,7,1,3,5,4] => [2,5,1] => [5,2,1] => 3
[8,3,6,1,7,5,2,4] => [1,3,2,2] => [3,2,2,1] => 4
[4,6,1,8,7,2,5,3] => [3,1,3,1] => [3,3,1,1] => 4
[8,1,2,5,6,7,4,3] => [3,4,1] => [4,3,1] => 3
[8,2,6,5,7,4,1,3] => [2,1,3,2] => [3,2,2,1] => 4
[2,1,7,8,5,6,4,3] => [2,4,1,1] => [4,2,1,1] => 4
[8,2,5,7,6,4,3,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[2,7,6,8,5,4,1,3] => [2,3,1,2] => [3,2,2,1] => 4
[1,7,2,5,8,6,4,3] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[1,7,4,8,2,6,5,3] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[3,7,8,1,6,5,2,4] => [4,2,2] => [4,2,2] => 3
[2,7,8,6,1,3,5,4] => [3,4,1] => [4,3,1] => 3
[8,7,6,3,5,1,4,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[8,4,7,6,5,1,3,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,7,1,5,6,4,3,2] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[8,1,6,7,5,4,3,2] => [2,3,1,1,1] => [3,2,1,1,1] => 5
[6,5,3,1,2,4,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[4,6,3,5,1,2,8,7] => [3,3,2] => [3,3,2] => 3
[8,5,3,7,2,1,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[6,8,1,4,5,7,3,2] => [5,2,1] => [5,2,1] => 3
[8,7,2,4,5,1,3,6] => [1,4,3] => [4,3,1] => 3
[3,6,2,4,5,1,8,7] => [5,1,2] => [5,2,1] => 3
[2,6,1,4,5,3,8,7] => [5,1,2] => [5,2,1] => 3
[6,1,2,4,5,3,8,7] => [5,1,2] => [5,2,1] => 3
[5,6,3,2,1,4,8,7] => [3,1,2,2] => [3,2,2,1] => 4
[5,4,3,6,1,2,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,1,4,5,2,8,7] => [1,4,1,2] => [4,2,1,1] => 4
[3,1,6,4,5,2,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[8,3,7,4,5,1,2,6] => [1,4,3] => [4,3,1] => 3
[5,8,7,4,2,6,3,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[2,8,7,4,1,6,3,5] => [2,2,2,2] => [2,2,2,2] => 4
[8,1,7,4,2,6,3,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,7,8,4,5,1,2,6] => [5,3] => [5,3] => 2
[2,1,8,7,5,3,4,6] => [2,1,2,3] => [3,2,2,1] => 4
[2,1,6,8,5,7,3,4] => [2,3,3] => [3,3,2] => 3
[5,6,3,8,1,7,2,4] => [3,2,3] => [3,3,2] => 3
[7,6,1,4,5,8,3,2] => [1,4,2,1] => [4,2,1,1] => 4
[3,7,6,4,5,8,2,1] => [2,3,2,1] => [3,2,2,1] => 4
[8,5,7,4,1,6,3,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[5,1,8,4,7,6,2,3] => [2,2,2,2] => [2,2,2,2] => 4
[2,5,8,4,7,6,1,3] => [4,2,2] => [4,2,2] => 3
[2,4,8,3,5,6,7,1] => [7,1] => [7,1] => 2
[4,1,8,3,5,6,7,2] => [2,5,1] => [5,2,1] => 3
[3,8,4,2,5,6,7,1] => [2,5,1] => [5,2,1] => 3
[8,4,1,3,5,6,7,2] => [1,6,1] => [6,1,1] => 3
[7,5,8,4,3,6,1,2] => [1,3,2,2] => [3,2,2,1] => 4
[6,5,3,8,4,1,7,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[2,1,5,8,4,6,7,3] => [2,5,1] => [5,2,1] => 3
[2,1,4,8,3,6,7,5] => [2,5,1] => [5,2,1] => 3
[6,4,3,8,2,1,7,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[7,3,8,4,2,6,1,5] => [1,3,2,2] => [3,2,2,1] => 4
[8,3,1,2,5,6,7,4] => [1,6,1] => [6,1,1] => 3
[3,1,8,2,5,6,7,4] => [2,5,1] => [5,2,1] => 3
[2,3,8,1,5,6,7,4] => [7,1] => [7,1] => 2
[4,3,8,2,5,6,7,1] => [1,6,1] => [6,1,1] => 3
[4,8,2,3,5,6,7,1] => [7,1] => [7,1] => 2
[3,8,2,1,5,6,7,4] => [3,4,1] => [4,3,1] => 3
[2,8,1,3,5,6,7,4] => [7,1] => [7,1] => 2
[8,1,2,3,5,6,7,4] => [7,1] => [7,1] => 2
[7,8,2,4,3,6,1,5] => [4,2,2] => [4,2,2] => 3
[6,8,3,2,4,1,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[2,1,8,3,4,6,7,5] => [2,5,1] => [5,2,1] => 3
[2,1,7,8,5,4,3,6] => [2,3,1,2] => [3,2,2,1] => 4
[5,7,3,8,1,4,2,6] => [3,3,2] => [3,3,2] => 3
[7,1,8,4,5,3,2,6] => [2,3,1,2] => [3,2,2,1] => 4
[2,7,8,4,5,3,1,6] => [5,1,2] => [5,2,1] => 3
[8,7,1,4,3,6,2,5] => [1,3,2,2] => [3,2,2,1] => 4
[3,8,7,4,2,6,1,5] => [2,2,2,2] => [2,2,2,2] => 4
[5,7,8,4,3,6,2,1] => [4,2,1,1] => [4,2,1,1] => 4
[5,6,3,8,4,2,7,1] => [3,2,2,1] => [3,2,2,1] => 4
[4,8,3,6,2,1,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[8,6,3,1,4,2,7,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[7,5,3,8,2,4,1,6] => [1,2,3,2] => [3,2,2,1] => 4
[2,4,3,1,8,5,7,6] => [3,1,3,1] => [3,3,1,1] => 4
[4,1,3,2,6,8,7,5] => [3,1,3,1] => [3,3,1,1] => 4
[7,5,3,6,2,8,1,4] => [1,2,2,3] => [3,2,2,1] => 4
[8,6,3,5,1,2,7,4] => [1,2,4,1] => [4,2,1,1] => 4
[5,8,3,2,6,1,7,4] => [3,1,3,1] => [3,3,1,1] => 4
[4,5,3,8,6,2,7,1] => [3,1,3,1] => [3,3,1,1] => 4
[3,5,8,4,7,6,2,1] => [4,2,1,1] => [4,2,1,1] => 4
[5,8,2,4,7,6,1,3] => [4,2,2] => [4,2,2] => 3
[8,7,5,4,1,6,2,3] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[2,7,6,4,5,8,1,3] => [2,3,3] => [3,3,2] => 3
[7,1,6,4,5,8,2,3] => [2,3,3] => [3,3,2] => 3
[5,7,3,6,1,8,2,4] => [3,2,3] => [3,3,2] => 3
[2,1,7,6,5,8,3,4] => [2,1,2,3] => [3,2,2,1] => 4
[2,1,8,5,3,6,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[6,8,3,5,2,1,7,4] => [3,2,2,1] => [3,2,2,1] => 4
[7,8,5,4,2,6,1,3] => [2,2,2,2] => [2,2,2,2] => 4
[8,1,4,2,5,6,7,3] => [2,5,1] => [5,2,1] => 3
[2,8,4,1,5,6,7,3] => [2,5,1] => [5,2,1] => 3
[4,8,1,2,5,6,7,3] => [7,1] => [7,1] => 2
[3,4,8,1,5,6,7,2] => [7,1] => [7,1] => 2
[3,4,2,8,5,6,7,1] => [3,4,1] => [4,3,1] => 3
[2,4,1,8,5,6,7,3] => [3,4,1] => [4,3,1] => 3
[4,1,2,8,5,6,7,3] => [3,4,1] => [4,3,1] => 3
[8,4,2,1,5,6,7,3] => [1,2,4,1] => [4,2,1,1] => 4
[7,5,2,4,8,6,1,3] => [1,3,2,2] => [3,2,2,1] => 4
[6,5,3,2,8,1,7,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[2,1,5,3,8,6,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[6,4,3,5,8,1,7,2] => [1,2,4,1] => [4,2,1,1] => 4
[7,3,5,4,8,6,1,2] => [1,3,2,2] => [3,2,2,1] => 4
[8,3,4,1,5,6,7,2] => [1,6,1] => [6,1,1] => 3
[4,3,1,8,5,6,7,2] => [1,2,4,1] => [4,2,1,1] => 4
[3,1,4,8,5,6,7,2] => [2,5,1] => [5,2,1] => 3
[6,5,3,7,2,8,4,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,3,7,4,5,8,2,1] => [1,4,2,1] => [4,2,1,1] => 4
[6,7,2,4,5,8,3,1] => [5,2,1] => [5,2,1] => 3
[5,1,7,4,8,6,3,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[2,5,7,4,8,6,3,1] => [4,2,1,1] => [4,2,1,1] => 4
[5,6,3,7,1,8,4,2] => [3,2,2,1] => [3,2,2,1] => 4
[3,8,7,4,5,2,1,6] => [2,3,1,2] => [3,2,2,1] => 4
[3,7,5,4,8,6,2,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[5,7,1,4,8,6,2,3] => [4,2,2] => [4,2,2] => 3
[5,6,3,1,8,2,7,4] => [3,1,3,1] => [3,3,1,1] => 4
[4,6,3,5,8,2,7,1] => [3,4,1] => [4,3,1] => 3
[4,6,3,8,1,2,7,5] => [3,4,1] => [4,3,1] => 3
[3,7,8,4,1,6,2,5] => [4,2,2] => [4,2,2] => 3
[3,2,5,1,6,8,4,7] => [2,2,4] => [4,2,2] => 3
[3,6,2,5,4,8,1,7] => [3,2,3] => [3,3,2] => 3
[3,5,2,4,7,1,8,6] => [4,2,2] => [4,2,2] => 3
[3,5,8,2,4,7,6,1] => [5,2,1] => [5,2,1] => 3
[4,2,5,8,3,7,6,1] => [2,3,2,1] => [3,2,2,1] => 4
[4,2,6,5,3,8,1,7] => [2,1,2,3] => [3,2,2,1] => 4
[5,4,2,1,6,8,3,7] => [1,2,1,4] => [4,2,1,1] => 4
[6,3,5,1,4,8,2,7] => [1,4,3] => [4,3,1] => 3
[4,6,1,5,3,8,2,7] => [3,2,3] => [3,3,2] => 3
[5,1,6,4,3,8,2,7] => [2,2,1,3] => [3,2,2,1] => 4
[5,4,3,2,7,1,8,6] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[5,4,3,8,2,7,6,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,3,6,2,8,7,5,1] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[4,3,7,6,2,1,8,5] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[6,4,3,1,7,2,8,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[7,5,4,3,1,8,2,6] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[1,4,7,5,8,3,2,6] => [1,2,3,2] => [3,2,2,1] => 4
[7,1,3,5,8,4,2,6] => [3,3,2] => [3,3,2] => 3
[7,2,5,8,4,1,3,6] => [2,3,3] => [3,3,2] => 3
[2,8,5,7,4,6,1,3] => [2,4,2] => [4,2,2] => 3
[3,5,8,7,1,4,6,2] => [3,4,1] => [4,3,1] => 3
[1,4,5,8,7,3,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[1,5,4,8,7,3,6,2] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[6,4,3,8,1,7,5,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,3,7,1,8,6,5,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[4,8,3,7,6,5,2,1] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[5,3,8,7,6,4,2,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[7,5,3,1,8,6,4,2] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[1,8,6,5,3,7,4,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 6
[1,5,8,6,3,7,4,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,6,1,8,7,3,5,2] => [3,1,3,1] => [3,3,1,1] => 4
[6,8,7,3,1,4,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[6,2,8,7,4,5,1,3] => [2,1,3,2] => [3,2,2,1] => 4
[7,6,2,8,4,1,3,5] => [1,2,2,3] => [3,2,2,1] => 4
[7,3,1,6,8,4,2,5] => [1,2,3,2] => [3,2,2,1] => 4
[1,7,6,4,8,3,2,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[5,7,1,6,3,2,8,4] => [3,2,1,2] => [3,2,2,1] => 4
[6,1,7,5,3,2,8,4] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[7,6,5,3,2,1,8,4] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 6
[6,5,3,2,8,7,4,1] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[5,2,6,3,8,7,4,1] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[5,2,7,6,3,1,8,4] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[6,5,2,1,7,3,8,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[5,2,7,4,1,8,3,6] => [2,2,1,3] => [3,2,2,1] => 4
[4,7,2,6,3,1,8,5] => [3,2,1,2] => [3,2,2,1] => 4
[2,4,8,6,3,7,5,1] => [3,2,2,1] => [3,2,2,1] => 4
[3,8,6,2,4,7,5,1] => [2,3,2,1] => [3,2,2,1] => 4
[7,3,6,2,4,1,8,5] => [1,4,1,2] => [4,2,1,1] => 4
[3,6,7,2,1,4,8,5] => [4,2,2] => [4,2,2] => 3
[4,3,7,8,2,1,5,6] => [1,4,3] => [4,3,1] => 3
[8,3,7,1,4,6,2,5] => [1,5,2] => [5,2,1] => 3
[3,8,2,5,7,1,6,4] => [3,4,1] => [4,3,1] => 3
[8,3,6,2,7,1,5,4] => [1,3,3,1] => [3,3,1,1] => 4
[7,8,3,6,2,1,5,4] => [3,2,2,1] => [3,2,2,1] => 4
[8,7,3,6,2,5,4,1] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[4,7,8,2,1,6,5,3] => [4,2,1,1] => [4,2,1,1] => 4
[4,2,6,8,1,7,5,3] => [2,3,2,1] => [3,2,2,1] => 4
[5,4,8,2,7,1,6,3] => [1,3,3,1] => [3,3,1,1] => 4
[4,8,1,5,7,2,6,3] => [3,4,1] => [4,3,1] => 3
[5,8,3,7,1,6,2,4] => [3,3,2] => [3,3,2] => 3
[5,8,7,2,6,1,3,4] => [2,2,4] => [4,2,2] => 3
[8,6,2,7,5,1,3,4] => [1,2,2,3] => [3,2,2,1] => 4
[3,6,8,1,7,5,2,4] => [4,2,2] => [4,2,2] => 3
[5,1,6,8,2,7,4,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,5,2,8,1,7,4,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,2,7,1,8,6,4,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[5,8,2,7,6,4,3,1] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[6,2,8,7,5,4,3,1] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 6
[7,6,2,1,8,5,4,3] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[6,1,7,2,8,5,4,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[7,5,1,8,2,6,4,3] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[4,7,1,8,6,2,5,3] => [3,1,3,1] => [3,3,1,1] => 4
[7,8,3,1,6,5,2,4] => [3,1,2,2] => [3,2,2,1] => 4
[8,7,4,6,1,5,3,2] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[8,5,7,1,6,4,3,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[6,8,1,7,5,4,3,2] => [3,2,1,1,1] => [3,2,1,1,1] => 5
[7,1,8,6,5,4,3,2] => [2,1,2,1,1,1] => [2,2,1,1,1,1] => 6
[5,4,2,3,7,6,1,8] => [1,3,2,2] => [3,2,2,1] => 4
[6,4,2,7,3,5,1,8] => [1,2,3,2] => [3,2,2,1] => 4
[7,4,2,6,3,5,1,8] => [1,2,3,2] => [3,2,2,1] => 4
[8,4,2,6,3,1,5,7] => [1,2,2,3] => [3,2,2,1] => 4
[3,2,7,6,4,5,1,8] => [2,1,3,2] => [3,2,2,1] => 4
[4,7,2,6,3,5,1,8] => [3,3,2] => [3,3,2] => 3
[5,7,6,2,3,4,1,8] => [2,4,2] => [4,2,2] => 3
[1,6,5,2,3,8,4,7] => [1,1,3,3] => [3,3,1,1] => 4
[1,7,5,2,8,3,4,6] => [1,1,2,4] => [4,2,1,1] => 4
[6,8,5,2,3,1,4,7] => [2,3,3] => [3,3,2] => 3
[5,8,6,2,3,1,4,7] => [2,3,3] => [3,3,2] => 3
[4,8,2,6,3,1,5,7] => [3,2,3] => [3,3,2] => 3
[3,2,8,6,4,1,5,7] => [2,1,2,3] => [3,2,2,1] => 4
[3,2,1,6,4,8,5,7] => [2,1,2,3] => [3,2,2,1] => 4
[7,1,5,2,8,3,4,6] => [2,2,4] => [4,2,2] => 3
[1,8,5,2,7,3,4,6] => [1,1,2,4] => [4,2,1,1] => 4
[1,8,6,7,2,3,4,5] => [1,1,6] => [6,1,1] => 3
[8,1,6,7,2,3,4,5] => [2,6] => [6,2] => 2
[7,1,6,8,2,3,4,5] => [2,6] => [6,2] => 2
[3,2,1,7,8,4,5,6] => [2,1,5] => [5,2,1] => 3
[3,2,8,7,1,4,5,6] => [2,1,5] => [5,2,1] => 3
[5,8,7,2,1,3,4,6] => [2,2,4] => [4,2,2] => 3
[1,7,6,8,2,3,4,5] => [1,1,6] => [6,1,1] => 3
[6,5,8,2,3,1,4,7] => [1,4,3] => [4,3,1] => 3
[8,5,7,2,1,3,4,6] => [1,3,4] => [4,3,1] => 3
[6,4,2,8,3,1,5,7] => [1,2,2,3] => [3,2,2,1] => 4
[5,4,2,3,8,1,6,7] => [1,3,4] => [4,3,1] => 3
[3,2,5,4,1,8,6,7] => [2,2,1,3] => [3,2,2,1] => 4
[4,5,2,3,1,8,6,7] => [4,1,3] => [4,3,1] => 3
[5,4,2,3,1,8,6,7] => [1,3,1,3] => [3,3,1,1] => 4
[6,4,2,1,3,8,5,7] => [1,2,2,3] => [3,2,2,1] => 4
[7,4,2,1,8,3,5,6] => [1,2,1,4] => [4,2,1,1] => 4
[8,4,2,1,7,3,5,6] => [1,2,1,4] => [4,2,1,1] => 4
[1,4,2,8,7,3,5,6] => [1,2,1,4] => [4,2,1,1] => 4
[1,5,8,2,7,3,4,6] => [1,3,4] => [4,3,1] => 3
[8,5,1,2,7,3,4,6] => [1,3,4] => [4,3,1] => 3
[7,5,1,2,8,3,4,6] => [1,3,4] => [4,3,1] => 3
[6,5,1,2,3,8,4,7] => [1,4,3] => [4,3,1] => 3
[4,6,2,1,3,8,5,7] => [3,2,3] => [3,3,2] => 3
[3,2,6,1,4,8,5,7] => [2,3,3] => [3,3,2] => 3
[3,2,7,1,8,4,5,6] => [2,2,4] => [4,2,2] => 3
[4,7,2,1,8,3,5,6] => [3,1,4] => [4,3,1] => 3
[7,6,1,8,2,3,4,5] => [1,2,5] => [5,2,1] => 3
[8,6,1,7,2,3,4,5] => [1,2,5] => [5,2,1] => 3
[1,6,8,7,2,3,4,5] => [1,2,5] => [5,2,1] => 3
[1,7,8,6,2,3,4,5] => [1,2,5] => [5,2,1] => 3
[7,8,1,6,2,3,4,5] => [3,5] => [5,3] => 2
[6,8,1,7,2,3,4,5] => [3,5] => [5,3] => 2
[4,8,2,1,7,3,5,6] => [3,1,4] => [4,3,1] => 3
[3,2,8,1,7,4,5,6] => [2,2,4] => [4,2,2] => 3
[3,2,1,8,7,4,5,6] => [2,1,1,4] => [4,2,1,1] => 4
[5,1,8,2,7,3,4,6] => [2,2,4] => [4,2,2] => 3
[6,1,8,7,2,3,4,5] => [2,1,5] => [5,2,1] => 3
[8,1,7,6,2,3,4,5] => [2,1,5] => [5,2,1] => 3
[1,8,7,6,2,3,4,5] => [1,1,1,5] => [5,1,1,1] => 4
[6,3,5,1,2,4,8,7] => [1,5,2] => [5,2,1] => 3
[4,3,5,6,1,2,8,7] => [1,5,2] => [5,2,1] => 3
[8,3,7,5,2,1,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[6,3,7,5,1,8,4,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,5,2,7,1,8,3,4] => [1,2,2,3] => [3,2,2,1] => 4
[8,5,2,7,4,1,3,6] => [1,2,2,3] => [3,2,2,1] => 4
[2,6,1,5,4,3,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[6,4,3,5,1,2,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[5,3,1,4,6,2,8,7] => [1,3,2,2] => [3,2,2,1] => 4
[3,1,4,6,5,2,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[5,7,4,6,2,8,3,1] => [2,3,2,1] => [3,2,2,1] => 4
[8,1,4,7,2,6,3,5] => [2,4,2] => [4,2,2] => 3
[3,4,7,8,5,2,1,6] => [5,1,2] => [5,2,1] => 3
[2,1,8,5,7,3,4,6] => [2,1,5] => [5,2,1] => 3
[8,6,3,5,1,7,4,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,8,2,4,6,7,3,1] => [4,3,1] => [4,3,1] => 3
[3,4,8,6,5,7,1,2] => [3,2,3] => [3,3,2] => 3
[7,5,4,8,1,6,3,2] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[5,1,4,6,8,2,7,3] => [2,5,1] => [5,2,1] => 3
[2,5,4,6,7,1,8,3] => [2,4,2] => [4,2,2] => 3
[2,4,6,3,7,5,8,1] => [4,2,2] => [4,2,2] => 3
[4,1,6,3,8,5,7,2] => [2,2,3,1] => [3,2,2,1] => 4
[3,7,4,2,8,6,5,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[7,4,1,3,5,8,6,2] => [1,4,2,1] => [4,2,1,1] => 4
[6,5,8,4,1,7,3,2] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[8,5,3,7,4,1,6,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[2,1,4,8,3,7,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[7,4,3,8,2,1,6,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,3,7,4,1,8,2,5] => [1,3,1,3] => [3,3,1,1] => 4
[8,3,1,2,5,7,6,4] => [1,4,2,1] => [4,2,1,1] => 4
[3,1,8,2,7,6,5,4] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[2,3,8,1,6,7,5,4] => [4,3,1] => [4,3,1] => 3
[4,3,7,2,6,8,5,1] => [1,3,3,1] => [3,3,1,1] => 4
[4,7,2,3,8,5,6,1] => [4,3,1] => [4,3,1] => 3
[3,8,2,1,7,5,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[2,8,1,3,6,5,7,4] => [4,3,1] => [4,3,1] => 3
[2,7,8,5,4,3,1,6] => [3,2,1,2] => [3,2,2,1] => 4
[8,7,1,6,3,4,2,5] => [1,2,3,2] => [3,2,2,1] => 4
[3,8,6,7,2,4,1,5] => [2,4,2] => [4,2,2] => 3
[5,3,8,7,4,2,6,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,3,8,7,2,1,6,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,3,6,1,4,2,7,5] => [1,4,2,1] => [4,2,1,1] => 4
[7,3,5,8,2,4,1,6] => [1,5,2] => [5,2,1] => 3
[2,3,4,1,8,5,7,6] => [4,3,1] => [4,3,1] => 3
[4,1,3,2,6,7,8,5] => [3,1,4] => [4,3,1] => 3
[8,3,5,6,2,7,1,4] => [1,4,3] => [4,3,1] => 3
[5,3,6,1,8,7,2,4] => [1,3,1,3] => [3,3,1,1] => 4
[5,6,2,8,7,4,1,3] => [3,1,2,2] => [3,2,2,1] => 4
[7,8,5,6,1,4,2,3] => [2,4,2] => [4,2,2] => 3
[2,8,6,5,4,7,1,3] => [2,1,2,3] => [3,2,2,1] => 4
[8,1,6,4,5,7,2,3] => [2,3,3] => [3,3,2] => 3
[5,8,3,6,1,7,2,4] => [3,2,3] => [3,3,2] => 3
[2,1,8,6,5,7,3,4] => [2,1,2,3] => [3,2,2,1] => 4
[2,1,7,5,3,6,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[6,7,3,5,2,1,8,4] => [3,2,1,2] => [3,2,2,1] => 4
[7,1,4,2,5,6,8,3] => [2,4,2] => [4,2,2] => 3
[2,7,4,1,6,5,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[4,6,1,2,8,7,3,5] => [4,1,3] => [4,3,1] => 3
[2,4,1,5,8,7,6,3] => [3,2,2,1] => [3,2,2,1] => 4
[4,1,2,5,8,6,7,3] => [3,4,1] => [4,3,1] => 3
[6,4,2,1,5,8,7,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,5,2,4,6,1,7,3] => [1,3,3,1] => [3,3,1,1] => 4
[7,5,3,2,6,8,1,4] => [1,2,1,4] => [4,2,1,1] => 4
[2,1,5,3,6,8,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[7,3,5,4,6,1,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,4,1,5,7,8,2] => [1,4,3] => [4,3,1] => 3
[4,3,1,5,7,6,8,2] => [1,2,3,2] => [3,2,2,1] => 4
[3,1,4,5,6,8,7,2] => [2,5,1] => [5,2,1] => 3
[4,5,2,6,3,1,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[6,5,2,1,4,3,8,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[6,5,2,7,4,8,3,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,5,2,7,4,1,6,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,3,7,5,2,1,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,3,7,5,2,8,4,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[3,1,6,5,4,2,8,7] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[5,6,3,2,4,1,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[3,6,2,4,1,5,8,7] => [4,2,2] => [4,2,2] => 3
[2,6,1,3,5,4,8,7] => [5,1,2] => [5,2,1] => 3
[6,7,2,3,4,8,5,1] => [5,2,1] => [5,2,1] => 3
[8,7,2,3,4,1,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[5,1,7,3,8,4,6,2] => [2,2,3,1] => [3,2,2,1] => 4
[2,5,7,3,8,6,4,1] => [4,2,1,1] => [4,2,1,1] => 4
[7,6,1,3,5,8,4,2] => [1,4,2,1] => [4,2,1,1] => 4
[3,6,7,4,1,8,5,2] => [4,1,2,1] => [4,2,1,1] => 4
[5,6,3,7,4,8,1,2] => [3,2,3] => [3,3,2] => 3
[2,1,6,7,4,8,5,3] => [2,3,2,1] => [3,2,2,1] => 4
[2,1,8,7,4,3,6,5] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[5,8,3,7,4,2,6,1] => [3,2,2,1] => [3,2,2,1] => 4
[3,8,7,4,1,2,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[7,8,1,3,5,2,6,4] => [5,2,1] => [5,2,1] => 3
[5,8,7,3,2,6,1,4] => [2,2,2,2] => [2,2,2,2] => 4
[2,8,6,3,1,5,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,6,3,2,5,4,7] => [2,2,2,2] => [2,2,2,2] => 4
[2,8,4,1,6,3,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[4,8,1,2,7,6,3,5] => [4,2,2] => [4,2,2] => 3
[3,8,4,2,5,7,1,6] => [2,3,3] => [3,3,2] => 3
[6,8,3,5,2,7,4,1] => [3,2,2,1] => [3,2,2,1] => 4
[2,1,5,3,8,7,6,4] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[6,5,3,2,8,7,1,4] => [1,2,1,1,3] => [3,2,1,1,1] => 5
[7,5,2,4,8,1,6,3] => [1,3,3,1] => [3,3,1,1] => 4
[3,4,2,8,5,7,6,1] => [3,2,2,1] => [3,2,2,1] => 4
[2,4,1,8,7,6,5,3] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[8,4,2,1,7,5,3,6] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,3,1,8,6,7,5,2] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[3,1,4,8,6,5,7,2] => [2,2,3,1] => [3,2,2,1] => 4
[7,1,6,5,4,8,2,3] => [2,1,2,3] => [3,2,2,1] => 4
[3,7,5,6,8,4,2,1] => [2,4,1,1] => [4,2,1,1] => 4
[5,7,1,6,8,2,4,3] => [3,4,1] => [4,3,1] => 3
[8,6,2,5,1,7,4,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,6,2,1,8,7,3,4] => [3,1,1,3] => [3,3,1,1] => 4
[4,6,2,5,8,3,7,1] => [3,4,1] => [4,3,1] => 3
[7,5,2,6,3,8,1,4] => [1,2,2,3] => [3,2,2,1] => 4
[4,1,2,3,6,8,7,5] => [4,3,1] => [4,3,1] => 3
[2,4,3,1,8,5,6,7] => [3,1,4] => [4,3,1] => 3
[7,5,2,8,3,4,6,1] => [1,2,4,1] => [4,2,1,1] => 4
[5,6,2,8,4,3,1,7] => [3,2,1,2] => [3,2,2,1] => 4
[4,7,2,8,1,5,3,6] => [3,3,2] => [3,3,2] => 3
[8,7,2,1,4,5,6,3] => [1,2,4,1] => [4,2,1,1] => 4
[3,6,8,7,1,5,4,2] => [3,3,1,1] => [3,3,1,1] => 4
[5,7,8,6,3,4,1,2] => [3,3,2] => [3,3,2] => 3
[7,1,8,5,4,3,6,2] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,7,8,4,5,3,6,1] => [5,2,1] => [5,2,1] => 3
[5,7,3,8,1,4,6,2] => [3,4,1] => [4,3,1] => 3
[2,1,7,8,5,4,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[2,1,5,8,4,6,3,7] => [2,4,2] => [4,2,2] => 3
[6,5,3,8,4,1,2,7] => [1,2,2,3] => [3,2,2,1] => 4
[7,5,8,4,3,6,2,1] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[2,4,8,3,5,6,1,7] => [6,2] => [6,2] => 2
[4,1,8,3,6,5,2,7] => [2,2,2,2] => [2,2,2,2] => 4
[3,4,8,1,7,2,5,6] => [4,4] => [4,4] => 2
[8,4,1,3,7,2,6,5] => [1,3,3,1] => [3,3,1,1] => 4
[3,1,8,2,4,7,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[2,3,8,1,4,6,7,5] => [7,1] => [7,1] => 2
[4,3,8,2,5,1,7,6] => [1,4,2,1] => [4,2,1,1] => 4
[6,3,8,4,2,5,7,1] => [1,3,3,1] => [3,3,1,1] => 4
[7,4,3,8,2,5,1,6] => [1,2,3,2] => [3,2,2,1] => 4
[2,1,4,8,3,5,7,6] => [2,5,1] => [5,2,1] => 3
[6,8,2,4,3,5,1,7] => [4,2,2] => [4,2,2] => 3
[4,8,2,3,5,1,6,7] => [5,3] => [5,3] => 2
[3,8,2,1,4,6,5,7] => [3,3,2] => [3,3,2] => 3
[2,8,1,3,4,5,7,6] => [7,1] => [7,1] => 2
[2,8,4,1,6,5,3,7] => [2,2,2,2] => [2,2,2,2] => 4
[2,8,4,1,6,5,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[2,8,7,6,1,4,3,5] => [2,1,3,2] => [3,2,2,1] => 4
[2,8,5,6,7,4,3,1] => [2,4,1,1] => [4,2,1,1] => 4
[7,5,8,6,1,4,2,3] => [1,2,3,2] => [3,2,2,1] => 4
[3,5,7,6,1,4,2,8] => [3,3,2] => [3,3,2] => 3
[3,5,7,2,4,1,6,8] => [5,3] => [5,3] => 2
[7,5,8,2,4,1,6,3] => [1,4,2,1] => [4,2,1,1] => 4
[2,8,5,3,4,7,6,1] => [2,3,2,1] => [3,2,2,1] => 4
[2,8,5,3,4,1,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[2,8,5,3,4,1,6,7] => [2,3,3] => [3,3,2] => 3
[2,8,7,6,1,4,5,3] => [2,1,4,1] => [4,2,1,1] => 4
[2,8,5,3,6,1,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[2,8,5,6,7,4,1,3] => [2,4,2] => [4,2,2] => 3
[2,8,5,3,4,7,1,6] => [2,3,3] => [3,3,2] => 3
[2,8,5,3,4,6,1,7] => [2,4,2] => [4,2,2] => 3
[2,8,5,3,4,6,7,1] => [2,5,1] => [5,2,1] => 3
[3,5,7,2,4,6,1,8] => [6,2] => [6,2] => 2
[6,5,2,7,3,1,4,8] => [1,2,2,3] => [3,2,2,1] => 4
[6,5,2,8,3,1,7,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,5,2,8,3,1,4,7] => [1,2,2,3] => [3,2,2,1] => 4
[7,5,8,2,4,6,3,1] => [1,5,1,1] => [5,1,1,1] => 4
[7,5,8,6,1,4,3,2] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[6,5,8,2,1,3,7,4] => [1,3,3,1] => [3,3,1,1] => 4
[3,5,6,2,1,8,7,4] => [4,1,2,1] => [4,2,1,1] => 4
[3,5,7,6,1,4,8,2] => [3,3,2] => [3,3,2] => 3
[3,5,7,2,4,1,8,6] => [5,1,2] => [5,2,1] => 3
[3,5,7,2,4,6,8,1] => [6,2] => [6,2] => 2
[6,5,2,7,3,1,8,4] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[4,5,2,6,3,1,7,8] => [3,2,3] => [3,3,2] => 3
[4,1,2,3,7,6,8,5] => [4,2,2] => [4,2,2] => 3
[6,5,2,7,3,4,8,1] => [1,2,3,2] => [3,2,2,1] => 4
[5,1,6,7,4,3,8,2] => [2,3,1,2] => [3,2,2,1] => 4
[5,1,2,6,4,8,7,3] => [3,2,2,1] => [3,2,2,1] => 4
[5,1,2,8,6,4,7,3] => [3,1,3,1] => [3,3,1,1] => 4
[5,1,6,8,7,3,4,2] => [2,2,3,1] => [3,2,2,1] => 4
[6,5,2,8,3,7,4,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,1,2,3,8,7,5,6] => [4,1,3] => [4,3,1] => 3
[4,1,2,3,8,6,5,7] => [4,2,2] => [4,2,2] => 3
[4,1,2,3,8,6,7,5] => [4,3,1] => [4,3,1] => 3
[4,1,2,3,7,6,5,8] => [4,2,2] => [4,2,2] => 3
[4,1,2,3,8,5,7,6] => [4,3,1] => [4,3,1] => 3
[7,1,6,8,4,3,5,2] => [2,3,2,1] => [3,2,2,1] => 4
[6,1,2,8,4,5,7,3] => [3,4,1] => [4,3,1] => 3
[5,6,8,2,3,1,7,4] => [5,2,1] => [5,2,1] => 3
[6,5,8,2,4,3,1,7] => [1,4,1,2] => [4,2,1,1] => 4
[6,5,8,2,4,3,7,1] => [1,4,2,1] => [4,2,1,1] => 4
[7,5,2,8,3,4,1,6] => [1,2,3,2] => [3,2,2,1] => 4
[6,5,2,8,3,7,1,4] => [1,2,2,3] => [3,2,2,1] => 4
[6,5,2,7,3,4,1,8] => [1,2,3,2] => [3,2,2,1] => 4
[5,1,6,7,4,3,2,8] => [2,3,1,2] => [3,2,2,1] => 4
[5,1,6,8,7,3,2,4] => [2,2,2,2] => [2,2,2,2] => 4
[7,1,6,8,4,3,2,5] => [2,3,1,2] => [3,2,2,1] => 4
[5,7,8,6,3,4,2,1] => [3,3,1,1] => [3,3,1,1] => 4
[4,1,8,3,6,5,7,2] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,8,3,6,2,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,4,8,6,2,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,4,8,6,5,2,7] => [2,2,2,2] => [2,2,2,2] => 4
[7,1,6,5,8,3,2,4] => [2,1,3,2] => [3,2,2,1] => 4
[4,1,6,7,8,3,2,5] => [2,4,2] => [4,2,2] => 3
[4,1,6,5,7,3,2,8] => [2,1,3,2] => [3,2,2,1] => 4
[4,5,2,6,3,7,1,8] => [3,2,3] => [3,3,2] => 3
[4,5,2,7,3,8,1,6] => [3,2,3] => [3,3,2] => 3
[3,5,6,2,4,8,7,1] => [5,2,1] => [5,2,1] => 3
[3,5,6,2,4,8,1,7] => [5,3] => [5,3] => 2
[3,7,5,6,8,4,1,2] => [2,4,2] => [4,2,2] => 3
[3,6,5,2,8,1,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[6,1,2,5,8,4,7,3] => [3,4,1] => [4,3,1] => 3
[7,1,6,5,8,3,4,2] => [2,1,4,1] => [4,2,1,1] => 4
[7,5,2,6,3,8,4,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,1,2,3,5,8,7,6] => [5,2,1] => [5,2,1] => 3
[4,1,2,3,7,8,6,5] => [4,3,1] => [4,3,1] => 3
[4,5,2,7,3,8,6,1] => [3,2,2,1] => [3,2,2,1] => 4
[4,1,6,7,8,3,5,2] => [2,5,1] => [5,2,1] => 3
[4,1,2,6,8,5,7,3] => [3,4,1] => [4,3,1] => 3
[4,1,2,5,6,8,7,3] => [3,4,1] => [4,3,1] => 3
[4,5,2,6,3,7,8,1] => [3,2,3] => [3,3,2] => 3
[7,8,5,6,1,4,3,2] => [2,4,1,1] => [4,2,1,1] => 4
[7,8,4,2,1,5,3,6] => [2,2,2,2] => [2,2,2,2] => 4
[7,8,2,1,6,5,3,4] => [3,1,2,2] => [3,2,2,1] => 4
[6,4,1,2,5,7,3,8] => [1,4,3] => [4,3,1] => 3
[2,4,8,1,5,7,3,6] => [5,3] => [5,3] => 2
[4,3,8,1,7,2,5,6] => [1,3,4] => [4,3,1] => 3
[6,3,1,4,7,2,5,8] => [1,3,4] => [4,3,1] => 3
[7,8,3,4,5,1,6,2] => [5,2,1] => [5,2,1] => 3
[7,8,3,5,4,2,1,6] => [3,2,1,2] => [3,2,2,1] => 4
[7,8,4,1,2,3,6,5] => [2,5,1] => [5,2,1] => 3
[7,8,3,6,5,4,1,2] => [3,2,1,2] => [3,2,2,1] => 4
[7,8,2,1,5,3,4,6] => [3,2,3] => [3,3,2] => 3
[7,8,2,6,4,1,3,5] => [3,2,3] => [3,3,2] => 3
[7,8,2,5,6,4,1,3] => [3,3,2] => [3,3,2] => 3
[7,8,1,6,5,4,3,2] => [3,2,1,1,1] => [3,2,1,1,1] => 5
[6,2,1,7,5,4,3,8] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[2,1,8,7,5,4,3,6] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[1,3,8,2,6,4,7,5] => [1,3,3,1] => [3,3,1,1] => 4
[5,3,7,1,6,4,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[5,3,6,2,7,4,1,8] => [1,3,2,2] => [3,2,2,1] => 4
[6,1,2,5,8,7,4,3] => [3,2,2,1] => [3,2,2,1] => 4
[6,3,1,8,4,2,7,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,4,2,1,5,3,8,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[6,4,3,7,5,8,1,2] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,8,7,5,6,1,2] => [1,2,3,2] => [3,2,2,1] => 4
[2,4,7,1,5,3,6,8] => [5,3] => [5,3] => 2
[1,3,7,6,4,2,8,5] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[2,1,7,5,6,8,4,3] => [2,1,4,1] => [4,2,1,1] => 4
[3,7,2,8,6,4,1,5] => [3,1,2,2] => [3,2,2,1] => 4
[3,8,1,7,6,4,5,2] => [3,1,3,1] => [3,3,1,1] => 4
[1,8,5,7,3,6,4,2] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[2,7,5,8,3,6,1,4] => [2,4,2] => [4,2,2] => 3
[1,5,6,8,2,4,7,3] => [1,6,1] => [6,1,1] => 3
[2,6,8,5,3,1,4,7] => [3,2,3] => [3,3,2] => 3
[2,6,1,4,7,3,5,8] => [4,4] => [4,4] => 2
[5,6,7,3,8,4,1,2] => [4,2,2] => [4,2,2] => 3
[5,2,8,1,4,7,3,6] => [2,3,3] => [3,3,2] => 3
[4,6,7,5,2,1,3,8] => [3,2,3] => [3,3,2] => 3
[4,5,6,7,2,8,1,3] => [5,3] => [5,3] => 2
[4,5,7,6,1,8,3,2] => [3,2,2,1] => [3,2,2,1] => 4
[1,5,8,6,2,7,3,4] => [1,2,2,3] => [3,2,2,1] => 4
[1,6,5,8,3,2,7,4] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[4,6,5,7,1,2,8,3] => [2,4,2] => [4,2,2] => 3
[4,7,5,6,3,1,8,2] => [2,3,1,2] => [3,2,2,1] => 4
[5,1,6,3,4,2,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[5,7,1,4,2,3,8,6] => [4,2,2] => [4,2,2] => 3
[5,7,6,4,3,8,1,2] => [2,2,1,3] => [3,2,2,1] => 4
[6,3,4,5,8,7,1,2] => [1,4,3] => [4,3,1] => 3
[6,2,4,1,8,3,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[6,2,3,5,4,8,1,7] => [3,2,3] => [3,3,2] => 3
[6,1,3,4,5,8,7,2] => [5,2,1] => [5,2,1] => 3
[5,1,4,2,7,6,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[1,6,2,4,7,8,3,5] => [1,3,4] => [4,3,1] => 3
[5,7,2,4,1,6,3,8] => [4,2,2] => [4,2,2] => 3
[6,1,4,2,8,5,3,7] => [2,2,2,2] => [2,2,2,2] => 4
[6,7,5,8,1,4,3,2] => [2,4,1,1] => [4,2,1,1] => 4
[5,8,7,6,3,4,1,2] => [2,1,3,2] => [3,2,2,1] => 4
[5,8,7,6,2,3,1,4] => [2,1,3,2] => [3,2,2,1] => 4
[4,1,7,2,6,5,3,8] => [2,2,2,2] => [2,2,2,2] => 4
[4,8,2,1,5,6,3,7] => [3,3,2] => [3,3,2] => 3
[4,2,7,8,1,6,3,5] => [2,4,2] => [4,2,2] => 3
[2,1,8,7,6,5,3,4] => [2,1,1,2,2] => [2,2,2,1,1] => 5
[3,1,4,7,8,2,6,5] => [2,5,1] => [5,2,1] => 3
[3,1,7,4,5,6,8,2] => [2,4,2] => [4,2,2] => 3
[4,2,7,1,6,3,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[4,3,7,5,6,8,1,2] => [1,2,5] => [5,2,1] => 3
[4,8,6,3,5,7,1,2] => [2,3,3] => [3,3,2] => 3
[4,8,1,2,5,3,7,6] => [5,2,1] => [5,2,1] => 3
[3,8,6,5,2,4,1,7] => [2,1,3,2] => [3,2,2,1] => 4
[3,8,5,6,1,4,7,2] => [2,5,1] => [5,2,1] => 3
[5,3,7,8,2,1,6,4] => [1,4,2,1] => [4,2,1,1] => 4
[5,2,8,7,1,6,4,3] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[1,6,8,7,5,2,4,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[3,6,7,8,5,1,4,2] => [5,2,1] => [5,2,1] => 3
[3,7,6,8,5,2,1,4] => [2,3,1,2] => [3,2,2,1] => 4
[3,7,8,5,1,2,4,6] => [3,5] => [5,3] => 2
[3,7,1,6,4,2,5,8] => [3,2,3] => [3,3,2] => 3
[4,1,8,6,2,3,5,7] => [2,1,5] => [5,2,1] => 3
[4,7,8,6,3,5,1,2] => [3,3,2] => [3,3,2] => 3
[3,8,7,6,5,4,1,2] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[2,1,7,6,5,3,4,8] => [2,1,2,3] => [3,2,2,1] => 4
[2,8,1,6,4,5,3,7] => [3,3,2] => [3,3,2] => 3
[2,8,7,5,1,4,3,6] => [2,1,3,2] => [3,2,2,1] => 4
[2,8,6,7,5,1,3,4] => [2,3,3] => [3,3,2] => 3
[2,7,8,6,5,4,1,3] => [3,2,1,2] => [3,2,2,1] => 4
[6,3,1,2,7,4,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[6,4,2,7,1,3,8,5] => [1,2,3,2] => [3,2,2,1] => 4
[7,4,2,5,1,3,8,6] => [1,2,3,2] => [3,2,2,1] => 4
[7,5,3,6,1,8,2,4] => [1,2,2,3] => [3,2,2,1] => 4
[8,5,3,6,1,7,2,4] => [1,2,2,3] => [3,2,2,1] => 4
[8,3,6,2,4,7,1,5] => [1,4,3] => [4,3,1] => 3
[7,3,6,2,4,8,1,5] => [1,4,3] => [4,3,1] => 3
[4,3,7,1,2,5,8,6] => [1,5,2] => [5,2,1] => 3
[3,6,2,7,1,4,8,5] => [3,3,2] => [3,3,2] => 3
[5,3,6,7,1,2,8,4] => [1,5,2] => [5,2,1] => 3
[6,3,7,4,1,2,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[4,7,1,5,2,3,8,6] => [3,3,2] => [3,3,2] => 3
[3,7,5,1,2,4,8,6] => [2,4,2] => [4,2,2] => 3
[7,6,4,2,3,8,1,5] => [1,1,3,3] => [3,3,1,1] => 4
[8,6,4,2,3,7,1,5] => [1,1,3,3] => [3,3,1,1] => 4
[4,7,6,3,8,1,2,5] => [2,2,4] => [4,2,2] => 3
[5,7,4,2,3,8,1,6] => [2,3,3] => [3,3,2] => 3
[3,7,6,1,4,8,2,5] => [2,3,3] => [3,3,2] => 3
[5,7,2,6,1,8,3,4] => [3,2,3] => [3,3,2] => 3
[6,4,7,5,2,8,1,3] => [1,2,2,3] => [3,2,2,1] => 4
[7,4,8,5,2,6,1,3] => [1,2,3,2] => [3,2,2,1] => 4
[5,8,2,6,3,7,1,4] => [3,2,3] => [3,3,2] => 3
[3,8,6,1,2,7,4,5] => [2,3,3] => [3,3,2] => 3
[3,8,6,2,4,7,1,5] => [2,3,3] => [3,3,2] => 3
[6,8,4,3,7,1,2,5] => [2,2,4] => [4,2,2] => 3
[6,8,5,3,7,1,2,4] => [2,2,4] => [4,2,2] => 3
[3,8,5,7,1,2,4,6] => [2,6] => [6,2] => 2
[2,8,5,7,1,3,4,6] => [2,6] => [6,2] => 2
[4,8,6,2,7,1,3,5] => [2,2,4] => [4,2,2] => 3
[7,3,8,5,6,1,2,4] => [1,2,5] => [5,2,1] => 3
[6,3,7,5,8,1,2,4] => [1,2,5] => [5,2,1] => 3
[2,7,6,4,8,1,3,5] => [2,2,4] => [4,2,2] => 3
[2,6,5,8,1,3,4,7] => [2,6] => [6,2] => 2
[3,6,5,8,1,2,4,7] => [2,6] => [6,2] => 2
[2,5,7,4,8,1,3,6] => [4,4] => [4,4] => 2
[5,4,6,7,2,8,1,3] => [1,4,3] => [4,3,1] => 3
[4,6,3,7,1,8,2,5] => [3,2,3] => [3,3,2] => 3
[3,5,7,1,4,8,2,6] => [5,3] => [5,3] => 2
[5,3,7,2,4,8,1,6] => [1,4,3] => [4,3,1] => 3
[5,4,7,3,8,1,2,6] => [1,3,4] => [4,3,1] => 3
[7,4,6,3,8,1,2,5] => [1,3,4] => [4,3,1] => 3
[8,4,6,3,7,1,2,5] => [1,3,4] => [4,3,1] => 3
[8,4,1,6,7,2,3,5] => [1,2,5] => [5,2,1] => 3
[7,4,1,6,8,2,3,5] => [1,2,5] => [5,2,1] => 3
[5,4,1,7,8,2,3,6] => [1,2,5] => [5,2,1] => 3
[6,5,3,7,1,8,2,4] => [1,2,2,3] => [3,2,2,1] => 4
[6,5,1,2,7,8,3,4] => [1,3,4] => [4,3,1] => 3
[5,3,6,4,7,8,1,2] => [1,3,4] => [4,3,1] => 3
[6,3,7,4,8,5,1,2] => [1,3,2,2] => [3,2,2,1] => 4
[4,7,1,5,8,6,2,3] => [3,3,2] => [3,3,2] => 3
[7,5,1,2,8,6,3,4] => [1,3,2,2] => [3,2,2,1] => 4
[7,5,3,8,1,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[7,4,1,8,6,2,3,5] => [1,2,1,4] => [4,2,1,1] => 4
[7,6,1,8,5,2,3,4] => [1,2,2,3] => [3,2,2,1] => 4
[8,6,1,7,5,2,3,4] => [1,2,2,3] => [3,2,2,1] => 4
[5,7,2,8,1,6,3,4] => [3,3,2] => [3,3,2] => 3
[6,4,7,8,2,5,1,3] => [1,5,2] => [5,2,1] => 3
[6,3,7,8,5,1,2,4] => [1,4,3] => [4,3,1] => 3
[3,6,8,2,7,1,4,5] => [4,4] => [4,4] => 2
[2,4,8,7,1,3,5,6] => [3,5] => [5,3] => 2
[4,3,8,7,1,2,5,6] => [1,2,5] => [5,2,1] => 3
[5,3,8,7,1,2,4,6] => [1,2,5] => [5,2,1] => 3
[8,3,7,6,1,2,4,5] => [1,2,5] => [5,2,1] => 3
[8,4,7,6,1,2,3,5] => [1,2,5] => [5,2,1] => 3
[5,4,8,7,1,2,3,6] => [1,2,5] => [5,2,1] => 3
[3,5,8,7,1,2,4,6] => [3,5] => [5,3] => 2
[2,5,8,7,1,3,4,6] => [3,5] => [5,3] => 2
[4,6,8,2,7,1,3,5] => [4,4] => [4,4] => 2
[4,7,1,8,6,2,3,5] => [3,1,4] => [4,3,1] => 3
[7,5,8,6,4,1,2,3] => [1,2,2,3] => [3,2,2,1] => 4
[6,8,4,7,5,1,2,3] => [2,3,3] => [3,3,2] => 3
[5,8,7,1,6,2,3,4] => [2,2,4] => [4,2,2] => 3
[2,8,7,6,1,3,4,5] => [2,1,5] => [5,2,1] => 3
[3,8,7,6,1,2,4,5] => [2,1,5] => [5,2,1] => 3
[4,8,7,6,1,2,3,5] => [2,1,5] => [5,2,1] => 3
[5,6,3,1,4,2,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[7,5,3,8,2,1,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[3,8,7,4,5,1,6,2] => [2,3,2,1] => [3,2,2,1] => 4
[6,7,1,4,5,8,2,3] => [5,3] => [5,3] => 2
[2,1,7,8,5,3,6,4] => [2,3,2,1] => [3,2,2,1] => 4
[5,7,3,8,1,2,6,4] => [3,4,1] => [4,3,1] => 3
[8,7,1,4,5,3,2,6] => [1,4,1,2] => [4,2,1,1] => 4
[2,7,8,4,1,6,5,3] => [4,2,1,1] => [4,2,1,1] => 4
[7,1,8,4,2,6,5,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[7,5,1,4,8,6,3,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[6,5,3,1,8,4,7,2] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[6,4,3,8,1,5,7,2] => [1,2,4,1] => [4,2,1,1] => 4
[8,6,3,1,2,5,7,4] => [1,2,4,1] => [4,2,1,1] => 4
[8,7,1,4,2,6,5,3] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[7,3,8,4,1,6,5,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[2,3,4,5,6,7,8,1,9] => [9] => [9] => 1
[2,3,4,5,6,8,9,1,7] => [9] => [9] => 1
[2,3,4,5,7,8,9,1,6] => [9] => [9] => 1
[2,3,4,6,7,8,9,1,5] => [9] => [9] => 1
[2,3,5,6,7,8,9,1,4] => [9] => [9] => 1
[2,4,5,6,7,8,9,1,3] => [9] => [9] => 1
[3,4,5,6,7,8,9,1,2] => [9] => [9] => 1
[2,3,4,5,6,7,8,9,10,1] => [10] => [10] => 1
[2,3,4,5,6,7,8,9,1,10] => [10] => [10] => 1
[2,3,4,5,6,7,1,8,9] => [9] => [9] => 1
[2,3,4,5,6,7,8,10,1,9] => [10] => [10] => 1
[2,3,4,5,6,1,9,7,8] => [6,3] => [6,3] => 2
[2,3,4,5,6,7,9,10,1,8] => [10] => [10] => 1
[2,3,4,5,1,8,9,6,7] => [5,4] => [5,4] => 2
[2,3,4,5,6,8,9,10,1,7] => [10] => [10] => 1
[2,3,4,1,7,8,9,5,6] => [4,5] => [5,4] => 2
[2,3,4,5,7,8,9,10,1,6] => [10] => [10] => 1
[2,3,1,6,7,8,9,4,5] => [3,6] => [6,3] => 2
[2,3,4,6,7,8,9,10,1,5] => [10] => [10] => 1
[2,1,5,6,7,8,9,3,4] => [2,7] => [7,2] => 2
[2,3,5,6,7,8,9,10,1,4] => [10] => [10] => 1
[1,4,5,6,7,8,9,2,3] => [1,8] => [8,1] => 2
[2,4,5,6,7,8,9,10,1,3] => [10] => [10] => 1
[3,4,5,6,7,8,9,10,1,2] => [10] => [10] => 1
[3,6,4,5,7,2,8,1] => [2,4,2] => [4,2,2] => 3
[5,3,2,7,4,6,8,1] => [1,2,3,2] => [3,2,2,1] => 4
[7,5,3,6,2,4,8,1] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,2,5,1,8,4,7] => [1,2,2,3] => [3,2,2,1] => 4
[8,5,3,6,2,7,1,4] => [1,2,2,3] => [3,2,2,1] => 4
[8,2,6,3,4,7,1,5] => [2,3,3] => [3,3,2] => 3
[7,2,6,3,4,5,8,1] => [2,4,2] => [4,2,2] => 3
[6,2,7,3,4,5,8,1] => [2,4,2] => [4,2,2] => 3
[3,6,2,7,4,5,8,1] => [3,3,2] => [3,3,2] => 3
[4,2,5,7,3,6,8,1] => [2,4,2] => [4,2,2] => 3
[5,4,7,6,2,3,8,1] => [1,2,3,2] => [3,2,2,1] => 4
[6,7,3,5,2,4,8,1] => [3,3,2] => [3,3,2] => 3
[3,7,6,2,4,5,8,1] => [2,4,2] => [4,2,2] => 3
[2,7,6,3,4,5,8,1] => [2,4,2] => [4,2,2] => 3
[6,5,3,1,2,8,4,7] => [1,2,2,3] => [3,2,2,1] => 4
[8,6,5,2,3,7,1,4] => [1,1,3,3] => [3,3,1,1] => 4
[8,5,2,1,7,3,4,6] => [1,2,1,4] => [4,2,1,1] => 4
[7,5,2,1,8,3,4,6] => [1,2,1,4] => [4,2,1,1] => 4
[1,6,3,2,8,4,5,7] => [1,2,1,4] => [4,2,1,1] => 4
[5,7,3,1,2,8,4,6] => [3,2,3] => [3,3,2] => 3
[5,6,2,3,1,8,4,7] => [4,1,3] => [4,3,1] => 3
[4,2,6,5,1,8,3,7] => [2,1,2,3] => [3,2,2,1] => 4
[5,4,8,6,2,7,1,3] => [1,2,2,3] => [3,2,2,1] => 4
[6,8,3,5,2,7,1,4] => [3,2,3] => [3,3,2] => 3
[7,8,5,2,3,6,1,4] => [2,4,2] => [4,2,2] => 3
[6,8,2,1,7,3,4,5] => [3,1,4] => [4,3,1] => 3
[1,8,6,3,7,2,4,5] => [1,1,2,4] => [4,2,1,1] => 4
[1,8,2,7,3,4,5,6] => [1,2,5] => [5,2,1] => 3
[2,8,1,7,3,4,5,6] => [3,5] => [5,3] => 2
[3,8,6,1,7,2,4,5] => [2,2,4] => [4,2,2] => 3
[4,8,1,5,7,2,3,6] => [3,5] => [5,3] => 2
[4,2,8,3,7,1,5,6] => [2,2,4] => [4,2,2] => 3
[4,1,7,5,8,2,3,6] => [2,1,5] => [5,2,1] => 3
[1,7,3,8,2,4,5,6] => [1,2,5] => [5,2,1] => 3
[8,1,2,7,3,4,5,6] => [3,5] => [5,3] => 2
[4,2,5,7,1,8,3,6] => [2,3,3] => [3,3,2] => 3
[3,6,2,7,1,8,4,5] => [3,2,3] => [3,3,2] => 3
[6,3,7,1,2,8,4,5] => [1,4,3] => [4,3,1] => 3
[7,2,6,1,8,3,4,5] => [2,2,4] => [4,2,2] => 3
[8,2,6,1,7,3,4,5] => [2,2,4] => [4,2,2] => 3
[7,3,1,5,8,2,4,6] => [1,2,5] => [5,2,1] => 3
[3,2,1,5,8,4,6,7] => [2,1,5] => [5,2,1] => 3
[5,4,1,3,6,8,2,7] => [1,3,4] => [4,3,1] => 3
[1,5,3,4,6,8,2,7] => [1,3,4] => [4,3,1] => 3
[4,3,5,1,6,8,2,7] => [1,3,4] => [4,3,1] => 3
[5,4,6,3,8,7,1,2] => [1,3,1,3] => [3,3,1,1] => 4
[3,6,4,5,8,7,1,2] => [2,3,3] => [3,3,2] => 3
[6,5,3,4,8,7,1,2] => [1,3,1,3] => [3,3,1,1] => 4
[5,3,2,8,7,1,4,6] => [1,2,1,4] => [4,2,1,1] => 4
[5,3,1,8,7,2,4,6] => [1,2,1,4] => [4,2,1,1] => 4
[8,5,3,7,6,1,2,4] => [1,2,1,4] => [4,2,1,1] => 4
[6,1,8,3,7,2,4,5] => [2,2,4] => [4,2,2] => 3
[6,3,8,1,7,2,4,5] => [1,3,4] => [4,3,1] => 3
[7,6,8,2,3,5,1,4] => [1,5,2] => [5,2,1] => 3
[3,7,8,2,4,6,1,5] => [6,2] => [6,2] => 2
[6,7,3,8,2,5,1,4] => [3,3,2] => [3,3,2] => 3
[5,4,7,8,2,6,1,3] => [1,5,2] => [5,2,1] => 3
[4,2,5,8,7,1,3,6] => [2,2,4] => [4,2,2] => 3
[3,6,2,8,7,1,4,5] => [3,1,4] => [4,3,1] => 3
[3,7,8,1,6,2,4,5] => [4,4] => [4,4] => 2
[2,3,8,7,1,4,5,6] => [3,5] => [5,3] => 2
[7,2,8,6,1,3,4,5] => [2,1,5] => [5,2,1] => 3
[2,1,8,7,3,4,5,6] => [2,1,5] => [5,2,1] => 3
[8,2,7,6,1,3,4,5] => [2,1,5] => [5,2,1] => 3
[1,2,8,7,3,4,5,6] => [2,1,5] => [5,2,1] => 3
[1,3,8,7,2,4,5,6] => [1,2,5] => [5,2,1] => 3
[1,7,8,3,6,2,4,5] => [1,3,4] => [4,3,1] => 3
[4,1,5,8,7,2,3,6] => [2,2,4] => [4,2,2] => 3
[5,4,8,7,6,1,2,3] => [1,2,1,4] => [4,2,1,1] => 4
[6,8,3,7,5,1,2,4] => [3,2,3] => [3,3,2] => 3
[7,8,6,2,5,1,3,4] => [2,3,3] => [3,3,2] => 3
[8,1,6,7,3,2,5,4] => [2,3,2,1] => [3,2,2,1] => 4
[8,1,6,7,3,2,4,5] => [2,3,3] => [3,3,2] => 3
[8,1,5,3,7,2,4,6] => [2,2,4] => [4,2,2] => 3
[8,1,5,3,6,2,4,7] => [2,2,4] => [4,2,2] => 3
[7,5,1,3,6,2,4,8] => [1,3,4] => [4,3,1] => 3
[7,5,8,3,6,2,4,1] => [1,3,3,1] => [3,3,1,1] => 4
[7,4,8,3,2,6,5,1] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[7,4,1,3,2,6,5,8] => [1,3,2,2] => [3,2,2,1] => 4
[8,1,4,3,2,6,5,7] => [2,2,2,2] => [2,2,2,2] => 4
[8,1,4,3,2,7,5,6] => [2,2,1,3] => [3,2,2,1] => 4
[8,1,4,3,2,7,6,5] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[8,1,5,4,6,7,2,3] => [2,2,4] => [4,2,2] => 3
[8,1,5,3,6,2,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,4,3,2,6,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,4,3,2,5,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,4,3,2,5,6,7] => [2,2,4] => [4,2,2] => 3
[7,4,1,3,2,5,6,8] => [1,3,4] => [4,3,1] => 3
[7,4,8,3,2,5,6,1] => [1,3,3,1] => [3,3,1,1] => 4
[6,4,3,8,2,5,7,1] => [1,2,4,1] => [4,2,1,1] => 4
[6,4,3,1,2,5,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[7,4,1,3,2,5,8,6] => [1,3,2,2] => [3,2,2,1] => 4
[7,4,1,3,2,6,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[7,5,1,3,6,2,8,4] => [1,3,2,2] => [3,2,2,1] => 4
[7,5,1,4,6,8,2,3] => [1,3,4] => [4,3,1] => 3
[7,5,8,3,6,2,1,4] => [1,3,2,2] => [3,2,2,1] => 4
[7,4,8,3,2,6,1,5] => [1,3,2,2] => [3,2,2,1] => 4
[7,4,8,3,2,5,1,6] => [1,3,2,2] => [3,2,2,1] => 4
[6,4,3,8,2,5,1,7] => [1,2,3,2] => [3,2,2,1] => 4
[6,4,3,7,2,5,8,1] => [1,2,3,2] => [3,2,2,1] => 4
[5,4,3,2,8,6,1,7] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[5,4,3,2,8,7,1,6] => [1,2,1,1,3] => [3,2,1,1,1] => 5
[6,5,3,8,7,2,1,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[6,5,4,8,7,1,2,3] => [1,1,2,4] => [4,2,1,1] => 4
[6,5,4,1,7,8,2,3] => [1,1,2,4] => [4,2,1,1] => 4
[6,5,3,1,7,2,8,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[6,4,3,1,2,7,8,5] => [1,2,2,3] => [3,2,2,1] => 4
[5,4,3,2,1,8,6,7] => [1,2,1,1,3] => [3,2,1,1,1] => 5
[6,5,3,1,8,2,7,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[6,5,4,1,8,7,2,3] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[7,5,1,4,8,6,2,3] => [1,3,2,2] => [3,2,2,1] => 4
[7,4,1,3,2,8,6,5] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[7,4,1,3,2,8,5,6] => [1,3,1,3] => [3,3,1,1] => 4
[6,4,3,1,2,8,5,7] => [1,2,2,3] => [3,2,2,1] => 4
[6,4,3,1,2,7,5,8] => [1,2,2,3] => [3,2,2,1] => 4
[6,4,3,8,2,7,5,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,5,3,8,7,2,4,1] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[6,5,3,1,7,2,4,8] => [1,2,1,4] => [4,2,1,1] => 4
[6,5,3,1,8,2,4,7] => [1,2,1,4] => [4,2,1,1] => 4
[7,5,1,3,8,2,4,6] => [1,3,4] => [4,3,1] => 3
[7,6,1,8,3,2,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[7,6,1,8,4,5,2,3] => [1,2,3,2] => [3,2,2,1] => 4
[7,6,8,1,4,5,2,3] => [1,5,2] => [5,2,1] => 3
[7,6,8,1,3,2,5,4] => [1,4,2,1] => [4,2,1,1] => 4
[6,5,3,7,8,2,4,1] => [1,2,4,1] => [4,2,1,1] => 4
[6,4,3,7,2,8,5,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,4,3,7,2,1,5,8] => [1,2,2,3] => [3,2,2,1] => 4
[7,4,8,3,2,1,5,6] => [1,3,1,3] => [3,3,1,1] => 4
[7,4,8,3,2,1,6,5] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[7,5,8,3,1,2,6,4] => [1,3,3,1] => [3,3,1,1] => 4
[7,5,8,4,1,6,2,3] => [1,3,2,2] => [3,2,2,1] => 4
[6,5,4,8,1,7,2,3] => [1,1,3,3] => [3,3,1,1] => 4
[6,5,3,8,1,2,7,4] => [1,2,4,1] => [4,2,1,1] => 4
[5,4,3,2,8,1,7,6] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[6,4,3,7,2,1,8,5] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[6,5,3,7,1,2,8,4] => [1,2,3,2] => [3,2,2,1] => 4
[6,5,4,7,1,8,2,3] => [1,1,3,3] => [3,3,1,1] => 4
[6,5,3,7,8,2,1,4] => [1,2,3,2] => [3,2,2,1] => 4
[6,4,3,7,2,8,1,5] => [1,2,2,3] => [3,2,2,1] => 4
[5,4,3,2,7,8,1,6] => [1,2,1,4] => [4,2,1,1] => 4
[5,4,3,2,6,8,1,7] => [1,2,1,4] => [4,2,1,1] => 4
[5,6,2,1,3,4,8,7] => [3,3,2] => [3,3,2] => 3
[5,8,2,7,4,1,3,6] => [3,2,3] => [3,3,2] => 3
[5,3,7,8,2,1,4,6] => [1,4,3] => [4,3,1] => 3
[7,6,1,2,5,8,3,4] => [1,4,3] => [4,3,1] => 3
[2,1,7,8,4,3,5,6] => [2,3,3] => [3,3,2] => 3
[8,3,7,4,1,5,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[7,8,1,2,5,4,6,3] => [5,2,1] => [5,2,1] => 3
[2,6,8,3,1,4,7,5] => [4,3,1] => [4,3,1] => 3
[6,1,8,3,2,4,5,7] => [2,2,4] => [4,2,2] => 3
[8,4,1,3,7,6,2,5] => [1,3,2,2] => [3,2,2,1] => 4
[5,8,7,4,2,1,6,3] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[7,5,1,6,8,3,4,2] => [1,2,4,1] => [4,2,1,1] => 4
[6,5,2,1,8,7,4,3] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[4,7,2,8,1,3,6,5] => [3,4,1] => [4,3,1] => 3
[7,3,8,6,1,2,5,4] => [1,2,4,1] => [4,2,1,1] => 4
[3,4,7,1,8,2,6,5] => [4,3,1] => [4,3,1] => 3
[1,8,2,4,3,5,6,7] => [1,3,4] => [4,3,1] => 3
[1,7,2,4,3,5,6,8] => [1,3,4] => [4,3,1] => 3
[1,6,2,4,3,5,7,8] => [1,3,4] => [4,3,1] => 3
[1,5,2,4,3,6,7,8] => [1,3,4] => [4,3,1] => 3
[1,6,2,5,3,4,7,8] => [1,2,5] => [5,2,1] => 3
[1,7,2,5,3,4,6,8] => [1,2,5] => [5,2,1] => 3
[1,8,2,5,3,4,6,7] => [1,2,5] => [5,2,1] => 3
[1,8,2,6,3,4,5,7] => [1,2,5] => [5,2,1] => 3
[1,7,2,6,3,4,5,8] => [1,2,5] => [5,2,1] => 3
[1,8,2,7,3,5,4,6] => [1,2,3,2] => [3,2,2,1] => 4
[1,7,2,8,3,5,4,6] => [1,2,3,2] => [3,2,2,1] => 4
[1,6,2,8,3,5,4,7] => [1,2,3,2] => [3,2,2,1] => 4
[1,5,2,8,3,6,4,7] => [1,2,3,2] => [3,2,2,1] => 4
[1,4,2,8,3,6,5,7] => [1,2,3,2] => [3,2,2,1] => 4
[1,3,2,8,4,6,5,7] => [1,2,3,2] => [3,2,2,1] => 4
[1,2,3,8,4,6,5,7] => [3,3,2] => [3,3,2] => 3
[1,2,3,7,4,6,5,8] => [3,3,2] => [3,3,2] => 3
[1,3,2,7,4,6,5,8] => [1,2,3,2] => [3,2,2,1] => 4
[1,4,2,7,3,6,5,8] => [1,2,3,2] => [3,2,2,1] => 4
[1,5,2,7,3,6,4,8] => [1,2,3,2] => [3,2,2,1] => 4
[1,6,2,7,3,5,4,8] => [1,2,3,2] => [3,2,2,1] => 4
[1,7,2,6,3,5,4,8] => [1,2,3,2] => [3,2,2,1] => 4
[1,8,2,6,3,5,4,7] => [1,2,3,2] => [3,2,2,1] => 4
[1,8,2,5,3,6,4,7] => [1,2,3,2] => [3,2,2,1] => 4
[1,7,2,5,3,6,4,8] => [1,2,3,2] => [3,2,2,1] => 4
[1,6,2,5,3,7,4,8] => [1,2,2,3] => [3,2,2,1] => 4
[1,5,2,4,3,7,6,8] => [1,3,1,3] => [3,3,1,1] => 4
[1,6,2,4,3,7,5,8] => [1,3,1,3] => [3,3,1,1] => 4
[1,7,2,4,3,6,5,8] => [1,3,2,2] => [3,2,2,1] => 4
[1,8,2,4,3,6,5,7] => [1,3,2,2] => [3,2,2,1] => 4
[1,8,2,3,4,6,5,7] => [1,5,2] => [5,2,1] => 3
[1,7,2,3,4,6,5,8] => [1,5,2] => [5,2,1] => 3
[1,8,2,3,4,7,5,6] => [1,4,3] => [4,3,1] => 3
[1,8,2,4,3,7,5,6] => [1,3,1,3] => [3,3,1,1] => 4
[1,7,2,4,3,8,5,6] => [1,3,1,3] => [3,3,1,1] => 4
[1,6,2,4,3,8,5,7] => [1,3,1,3] => [3,3,1,1] => 4
[1,5,2,4,3,8,6,7] => [1,3,1,3] => [3,3,1,1] => 4
[1,6,2,5,3,8,4,7] => [1,2,2,3] => [3,2,2,1] => 4
[1,7,2,5,3,8,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[1,8,2,5,3,7,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[1,8,2,6,3,7,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[1,7,2,6,3,8,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[1,2,3,8,4,7,5,6] => [3,2,3] => [3,3,2] => 3
[1,3,2,8,4,7,5,6] => [1,2,2,3] => [3,2,2,1] => 4
[1,4,2,8,3,7,5,6] => [1,2,2,3] => [3,2,2,1] => 4
[1,5,2,8,3,7,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[1,6,2,8,3,7,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[1,7,2,8,3,6,4,5] => [1,2,3,2] => [3,2,2,1] => 4
[1,8,2,7,3,6,4,5] => [1,2,3,2] => [3,2,2,1] => 4
[4,6,3,7,2,5,1,8] => [3,3,2] => [3,3,2] => 3
[4,6,3,7,5,2,1,8] => [3,2,1,2] => [3,2,2,1] => 4
[4,6,3,8,5,1,7,2] => [3,2,2,1] => [3,2,2,1] => 4
[4,6,3,8,5,1,2,7] => [3,2,3] => [3,3,2] => 3
[5,6,8,3,4,1,2,7] => [5,3] => [5,3] => 2
[5,6,8,3,4,1,7,2] => [5,2,1] => [5,2,1] => 3
[4,6,2,7,5,3,1,8] => [3,2,1,2] => [3,2,2,1] => 4
[5,6,7,2,4,3,1,8] => [5,1,2] => [5,2,1] => 3
[5,6,8,4,3,1,7,2] => [4,1,2,1] => [4,2,1,1] => 4
[5,6,8,4,3,1,2,7] => [4,1,3] => [4,3,1] => 3
[5,7,8,4,1,6,2,3] => [4,2,2] => [4,2,2] => 3
[5,7,8,4,1,6,3,2] => [4,2,1,1] => [4,2,1,1] => 4
[5,7,8,4,1,3,6,2] => [4,3,1] => [4,3,1] => 3
[5,6,8,4,2,1,7,3] => [4,1,2,1] => [4,2,1,1] => 4
[5,6,8,2,4,1,7,3] => [5,2,1] => [5,2,1] => 3
[4,6,2,8,5,1,7,3] => [3,2,2,1] => [3,2,2,1] => 4
[3,2,6,8,5,1,7,4] => [2,3,2,1] => [3,2,2,1] => 4
[3,2,6,8,5,1,4,7] => [2,3,3] => [3,3,2] => 3
[4,6,2,8,5,1,3,7] => [3,2,3] => [3,3,2] => 3
[5,6,8,2,4,1,3,7] => [5,3] => [5,3] => 2
[5,6,8,4,2,1,3,7] => [4,1,3] => [4,3,1] => 3
[5,7,8,4,1,3,2,6] => [4,2,2] => [4,2,2] => 3
[5,7,8,4,1,2,6,3] => [4,3,1] => [4,3,1] => 3
[5,7,8,4,1,2,3,6] => [4,4] => [4,4] => 2
[6,7,8,1,5,2,3,4] => [5,3] => [5,3] => 2
[6,7,8,1,5,2,4,3] => [5,2,1] => [5,2,1] => 3
[6,7,8,1,5,3,2,4] => [5,1,2] => [5,2,1] => 3
[6,7,8,1,3,5,2,4] => [6,2] => [6,2] => 2
[5,7,8,2,1,6,3,4] => [4,2,2] => [4,2,2] => 3
[4,7,2,8,1,6,3,5] => [3,3,2] => [3,3,2] => 3
[3,2,7,8,1,6,4,5] => [2,4,2] => [4,2,2] => 3
[3,2,7,8,1,6,5,4] => [2,4,1,1] => [4,2,1,1] => 4
[4,7,2,8,1,6,5,3] => [3,3,1,1] => [3,3,1,1] => 4
[5,7,8,2,1,6,4,3] => [4,2,1,1] => [4,2,1,1] => 4
[6,7,8,1,3,5,4,2] => [6,1,1] => [6,1,1] => 3
[6,7,8,1,5,3,4,2] => [5,2,1] => [5,2,1] => 3
[6,7,8,1,5,4,3,2] => [5,1,1,1] => [5,1,1,1] => 4
[6,7,8,1,5,4,2,3] => [5,1,2] => [5,2,1] => 3
[6,7,8,1,4,5,2,3] => [6,2] => [6,2] => 2
[6,7,8,1,4,5,3,2] => [6,1,1] => [6,1,1] => 3
[6,7,8,1,4,3,5,2] => [5,2,1] => [5,2,1] => 3
[6,7,8,1,3,4,5,2] => [7,1] => [7,1] => 2
[5,7,8,2,1,4,6,3] => [4,3,1] => [4,3,1] => 3
[4,7,2,8,1,5,6,3] => [3,4,1] => [4,3,1] => 3
[3,2,7,8,1,5,6,4] => [2,5,1] => [5,2,1] => 3
[3,2,6,8,4,1,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[4,6,2,8,3,1,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[5,6,8,3,2,1,7,4] => [4,1,2,1] => [4,2,1,1] => 4
[5,7,8,3,1,4,6,2] => [4,3,1] => [4,3,1] => 3
[5,7,8,3,1,6,4,2] => [4,2,1,1] => [4,2,1,1] => 4
[5,7,8,3,1,6,2,4] => [4,2,2] => [4,2,2] => 3
[4,7,3,8,1,6,2,5] => [3,3,2] => [3,3,2] => 3
[4,7,3,8,1,6,5,2] => [3,3,1,1] => [3,3,1,1] => 4
[4,7,3,8,1,5,6,2] => [3,4,1] => [4,3,1] => 3
[4,6,3,8,2,1,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[4,5,3,2,8,1,7,6] => [3,1,3,1] => [3,3,1,1] => 4
[4,5,2,3,8,1,7,6] => [4,3,1] => [4,3,1] => 3
[3,2,5,4,8,1,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[4,5,3,2,8,1,6,7] => [3,1,4] => [4,3,1] => 3
[4,6,3,8,2,1,5,7] => [3,2,3] => [3,3,2] => 3
[4,7,3,8,1,5,2,6] => [3,3,2] => [3,3,2] => 3
[4,7,3,8,1,2,6,5] => [3,4,1] => [4,3,1] => 3
[4,7,3,8,1,2,5,6] => [3,5] => [5,3] => 2
[5,7,8,3,1,2,4,6] => [4,4] => [4,4] => 2
[5,7,8,3,1,2,6,4] => [4,3,1] => [4,3,1] => 3
[5,7,8,3,1,4,2,6] => [4,2,2] => [4,2,2] => 3
[5,6,8,3,2,1,4,7] => [4,1,3] => [4,3,1] => 3
[3,2,7,8,1,5,4,6] => [2,4,2] => [4,2,2] => 3
[5,7,8,2,1,4,3,6] => [4,2,2] => [4,2,2] => 3
[6,7,8,1,3,4,2,5] => [6,2] => [6,2] => 2
[6,7,8,1,4,3,2,5] => [5,1,2] => [5,2,1] => 3
[6,7,8,1,4,2,5,3] => [5,2,1] => [5,2,1] => 3
[6,7,8,1,4,2,3,5] => [5,3] => [5,3] => 2
[6,7,8,1,2,5,3,4] => [6,2] => [6,2] => 2
[6,7,8,1,2,5,4,3] => [6,1,1] => [6,1,1] => 3
[6,7,8,1,2,4,5,3] => [7,1] => [7,1] => 2
[6,7,8,1,3,2,5,4] => [5,2,1] => [5,2,1] => 3
[5,7,8,2,1,3,6,4] => [4,3,1] => [4,3,1] => 3
[3,2,7,8,1,4,6,5] => [2,5,1] => [5,2,1] => 3
[6,7,8,1,3,2,4,5] => [5,3] => [5,3] => 2
[6,7,8,1,2,4,3,5] => [6,2] => [6,2] => 2
[6,7,8,1,2,3,5,4] => [7,1] => [7,1] => 2
[7,2,8,5,1,6,4,3] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[1,3,7,5,2,6,4,8] => [1,2,3,2] => [3,2,2,1] => 4
[1,3,7,5,4,2,6,8] => [1,2,2,3] => [3,2,2,1] => 4
[7,2,8,5,4,1,6,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,8,5,4,3,1,7,6] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[2,8,4,5,6,1,7,3] => [2,5,1] => [5,2,1] => 3
[2,8,6,5,7,3,1,4] => [2,1,3,2] => [3,2,2,1] => 4
[2,8,4,5,3,7,1,6] => [2,3,3] => [3,3,2] => 3
[2,8,4,3,5,6,1,7] => [2,4,2] => [4,2,2] => 3
[7,2,8,4,5,6,1,3] => [2,4,2] => [4,2,2] => 3
[1,6,3,7,5,2,4,8] => [1,2,2,3] => [3,2,2,1] => 4
[6,2,3,8,5,1,7,4] => [3,2,2,1] => [3,2,2,1] => 4
[6,3,2,8,5,1,4,7] => [1,2,2,3] => [3,2,2,1] => 4
[7,4,8,2,5,6,3,1] => [1,5,1,1] => [5,1,1,1] => 4
[7,4,8,5,2,1,3,6] => [1,2,2,3] => [3,2,2,1] => 4
[6,4,8,5,1,3,7,2] => [1,2,4,1] => [4,2,1,1] => 4
[6,3,7,5,2,1,8,4] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[4,3,7,5,1,2,8,6] => [1,2,3,2] => [3,2,2,1] => 4
[4,3,7,1,5,6,8,2] => [1,5,2] => [5,2,1] => 3
[3,6,1,7,5,2,8,4] => [3,2,1,2] => [3,2,2,1] => 4
[3,4,1,2,7,6,8,5] => [4,2,2] => [4,2,2] => 3
[3,4,2,1,7,5,8,6] => [3,1,2,2] => [3,2,2,1] => 4
[3,6,5,7,1,4,8,2] => [2,4,2] => [4,2,2] => 3
[6,5,2,7,4,1,8,3] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[3,5,2,6,4,8,7,1] => [3,2,2,1] => [3,2,2,1] => 4
[5,3,1,8,6,4,7,2] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[5,6,1,8,7,2,4,3] => [3,1,3,1] => [3,3,1,1] => 4
[6,3,5,8,2,7,4,1] => [1,4,2,1] => [4,2,1,1] => 4
[6,5,8,4,2,3,7,1] => [1,3,3,1] => [3,3,1,1] => 4
[6,2,5,8,3,7,1,4] => [2,3,3] => [3,3,2] => 3
[1,6,5,7,3,4,2,8] => [1,1,4,2] => [4,2,1,1] => 4
[1,5,2,7,4,6,3,8] => [1,2,3,2] => [3,2,2,1] => 4
[5,2,1,8,7,6,3,4] => [2,1,1,2,2] => [2,2,2,1,1] => 5
[7,1,3,8,4,6,2,5] => [3,3,2] => [3,3,2] => 3
[2,3,4,8,6,1,7,5] => [4,3,1] => [4,3,1] => 3
[2,3,4,8,6,5,1,7] => [4,2,2] => [4,2,2] => 3
[2,7,3,5,8,6,1,4] => [3,3,2] => [3,3,2] => 3
[3,2,4,7,8,6,1,5] => [2,4,2] => [4,2,2] => 3
[1,5,4,6,2,7,3,8] => [1,1,3,3] => [3,3,1,1] => 4
[5,2,4,7,1,8,3,6] => [2,3,3] => [3,3,2] => 3
[5,3,6,4,1,8,7,2] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[5,3,6,1,4,8,2,7] => [1,4,3] => [4,3,1] => 3
[7,3,5,6,8,4,2,1] => [1,5,1,1] => [5,1,1,1] => 4
[6,3,5,1,8,2,7,4] => [1,3,3,1] => [3,3,1,1] => 4
[2,6,1,5,8,4,7,3] => [3,4,1] => [4,3,1] => 3
[2,7,6,5,8,3,4,1] => [2,1,4,1] => [4,2,1,1] => 4
[5,7,1,6,3,8,4,2] => [3,2,2,1] => [3,2,2,1] => 4
[3,2,4,1,7,8,5,6] => [2,2,4] => [4,2,2] => 3
[3,1,4,2,7,8,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[5,1,4,7,2,8,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[3,6,4,7,8,2,5,1] => [2,5,1] => [5,2,1] => 3
[3,1,4,6,8,5,7,2] => [2,5,1] => [5,2,1] => 3
[6,3,4,5,7,1,8,2] => [1,5,2] => [5,2,1] => 3
[2,5,4,6,1,7,8,3] => [2,3,3] => [3,3,2] => 3
[7,2,1,4,3,6,5,8] => [2,2,2,2] => [2,2,2,2] => 4
[7,3,4,1,2,6,5,8] => [1,5,2] => [5,2,1] => 3
[7,4,3,2,1,6,5,8] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[7,6,3,2,5,4,1,8] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[6,7,3,2,5,4,8,1] => [3,2,1,2] => [3,2,2,1] => 4
[1,8,3,2,5,4,7,6] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,8,4,5,2,3,7,6] => [1,1,5,1] => [5,1,1,1] => 4
[7,3,5,1,6,2,4,8] => [1,3,4] => [4,3,1] => 3
[7,2,1,5,6,3,4,8] => [2,1,5] => [5,2,1] => 3
[7,2,1,6,5,4,3,8] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[7,3,6,1,5,4,2,8] => [1,4,1,2] => [4,2,1,1] => 4
[7,4,6,5,1,3,2,8] => [1,2,3,2] => [3,2,2,1] => 4
[1,8,5,4,3,2,7,6] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[1,8,6,4,3,7,2,5] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[6,5,7,4,3,1,8,2] => [1,3,1,1,2] => [3,2,1,1,1] => 5
[6,4,7,5,1,3,8,2] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,7,1,5,4,8,2] => [1,4,1,2] => [4,2,1,1] => 4
[6,2,1,7,5,4,8,3] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[3,2,1,8,5,4,7,6] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,3,8,1,5,4,7,6] => [5,2,1] => [5,2,1] => 3
[2,4,8,5,1,3,7,6] => [3,4,1] => [4,3,1] => 3
[2,5,8,4,3,1,7,6] => [4,1,2,1] => [4,2,1,1] => 4
[2,6,8,4,3,7,1,5] => [4,1,3] => [4,3,1] => 3
[2,7,8,4,3,6,5,1] => [4,2,1,1] => [4,2,1,1] => 4
[1,8,7,4,3,6,5,2] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[1,8,7,5,6,3,4,2] => [1,1,1,4,1] => [4,1,1,1,1] => 5
[2,7,8,5,6,3,4,1] => [3,4,1] => [4,3,1] => 3
[2,6,8,5,7,3,1,4] => [3,3,2] => [3,3,2] => 3
[2,5,8,6,7,1,3,4] => [3,5] => [5,3] => 2
[2,4,8,6,1,7,3,5] => [3,2,3] => [3,3,2] => 3
[3,2,1,8,6,7,4,5] => [2,1,1,4] => [4,2,1,1] => 4
[5,2,1,7,6,8,4,3] => [2,1,1,3,1] => [3,2,1,1,1] => 5
[5,3,7,1,6,8,4,2] => [1,3,3,1] => [3,3,1,1] => 4
[5,4,7,6,1,8,3,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,5,7,6,8,1,3,2] => [3,4,1] => [4,3,1] => 3
[4,6,7,5,8,3,1,2] => [3,3,2] => [3,3,2] => 3
[1,8,6,5,7,3,2,4] => [1,1,1,3,2] => [3,2,1,1,1] => 5
[1,8,5,6,7,2,3,4] => [1,1,6] => [6,1,1] => 3
[4,7,5,6,8,2,3,1] => [2,5,1] => [5,2,1] => 3
[4,6,5,7,8,2,1,3] => [2,4,2] => [4,2,2] => 3
[5,4,6,7,1,8,2,3] => [1,4,3] => [4,3,1] => 3
[5,3,6,1,7,8,2,4] => [1,3,4] => [4,3,1] => 3
[5,2,1,6,7,8,3,4] => [2,1,5] => [5,2,1] => 3
[6,2,1,5,7,3,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[6,3,5,1,7,2,8,4] => [1,3,2,2] => [3,2,2,1] => 4
[6,4,5,7,1,2,8,3] => [1,5,2] => [5,2,1] => 3
[6,5,4,7,2,1,8,3] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[5,6,4,7,2,8,1,3] => [2,3,3] => [3,3,2] => 3
[1,8,4,6,2,7,3,5] => [1,1,3,3] => [3,3,1,1] => 4
[1,8,3,2,6,7,4,5] => [1,2,1,4] => [4,2,1,1] => 4
[5,7,3,2,6,8,4,1] => [3,1,3,1] => [3,3,1,1] => 4
[5,6,3,2,7,8,1,4] => [3,1,4] => [4,3,1] => 3
[6,5,3,2,7,1,8,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[6,4,3,2,1,7,8,5] => [1,2,1,1,3] => [3,2,1,1,1] => 5
[6,2,1,4,3,7,8,5] => [2,2,1,3] => [3,2,2,1] => 4
[5,2,1,4,3,8,7,6] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[5,3,4,1,2,8,7,6] => [1,4,2,1] => [4,2,1,1] => 4
[4,6,3,2,8,7,1,5] => [3,1,1,3] => [3,3,1,1] => 4
[4,7,3,2,8,6,5,1] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[1,8,3,2,7,6,5,4] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[1,8,4,7,2,6,5,3] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[3,7,4,8,2,6,5,1] => [2,4,1,1] => [4,2,1,1] => 4
[3,6,4,8,2,7,1,5] => [2,3,3] => [3,3,2] => 3
[3,5,4,8,2,1,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[3,4,5,8,1,2,7,6] => [7,1] => [7,1] => 2
[4,3,5,1,8,2,7,6] => [1,3,3,1] => [3,3,1,1] => 4
[4,2,1,5,8,3,7,6] => [2,1,4,1] => [4,2,1,1] => 4
[4,2,1,6,8,7,3,5] => [2,1,2,3] => [3,2,2,1] => 4
[4,3,6,1,8,7,2,5] => [1,3,1,3] => [3,3,1,1] => 4
[3,4,6,8,1,7,2,5] => [5,3] => [5,3] => 2
[3,5,6,8,7,1,2,4] => [4,4] => [4,4] => 2
[3,6,5,8,7,2,1,4] => [2,2,2,2] => [2,2,2,2] => 4
[3,7,5,8,6,2,4,1] => [2,2,3,1] => [3,2,2,1] => 4
[1,8,5,7,6,2,4,3] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[1,8,6,7,5,4,2,3] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[3,6,7,8,5,4,1,2] => [5,1,2] => [5,2,1] => 3
[3,5,7,8,6,1,4,2] => [4,3,1] => [4,3,1] => 3
[3,4,7,8,1,6,5,2] => [6,1,1] => [6,1,1] => 3
[4,2,1,7,8,6,5,3] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[2,3,8,1,7,6,5,4] => [4,2,1,1] => [4,2,1,1] => 4
[2,4,8,7,1,6,5,3] => [3,3,1,1] => [3,3,1,1] => 4
[2,5,8,7,6,1,4,3] => [3,1,3,1] => [3,3,1,1] => 4
[2,6,8,7,5,4,1,3] => [3,2,1,2] => [3,2,2,1] => 4
[2,1,4,3,6,5,8,7,10,9,12,11] => [2,2,2,2,2,2] => [2,2,2,2,2,2] => 6
[2,1,4,3,6,5,8,7,12,11,10,9] => [2,2,2,2,1,2,1] => [2,2,2,2,2,1,1] => 7
[2,1,4,3,6,5,10,9,8,7,12,11] => [2,2,2,1,2,1,2] => [2,2,2,2,2,1,1] => 7
[2,1,4,3,6,5,12,9,8,11,10,7] => [2,2,2,1,2,2,1] => [2,2,2,2,2,1,1] => 7
[2,1,4,3,6,5,12,11,10,9,8,7] => [2,2,2,1,1,2,1,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,4,3,8,7,6,5,10,9,12,11] => [2,2,1,2,1,2,2] => [2,2,2,2,2,1,1] => 7
[2,1,4,3,8,7,6,5,12,11,10,9] => [2,2,1,2,1,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,4,3,10,7,6,9,8,5,12,11] => [2,2,1,2,2,1,2] => [2,2,2,2,2,1,1] => 7
[2,1,4,3,12,7,6,9,8,11,10,5] => [2,2,1,2,2,2,1] => [2,2,2,2,2,1,1] => 7
[2,1,4,3,12,7,6,11,10,9,8,5] => [2,2,1,2,1,2,1,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,4,3,10,9,8,7,6,5,12,11] => [2,2,1,1,2,1,1,2] => [2,2,2,2,1,1,1,1] => 8
[2,1,4,3,12,9,8,7,6,11,10,5] => [2,2,1,1,2,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,4,3,12,11,8,7,10,9,6,5] => [2,2,1,1,2,2,1,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,4,3,12,11,10,9,8,7,6,5] => [2,2,1,1,1,2,1,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[2,1,6,5,4,3,8,7,10,9,12,11] => [2,1,2,1,2,2,2] => [2,2,2,2,2,1,1] => 7
[2,1,6,5,4,3,8,7,12,11,10,9] => [2,1,2,1,2,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,6,5,4,3,10,9,8,7,12,11] => [2,1,2,1,1,2,1,2] => [2,2,2,2,1,1,1,1] => 8
[2,1,6,5,4,3,12,9,8,11,10,7] => [2,1,2,1,1,2,2,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,6,5,4,3,12,11,10,9,8,7] => [2,1,2,1,1,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[2,1,8,5,4,7,6,3,10,9,12,11] => [2,1,2,2,1,2,2] => [2,2,2,2,2,1,1] => 7
[2,1,8,5,4,7,6,3,12,11,10,9] => [2,1,2,2,1,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,10,5,4,7,6,9,8,3,12,11] => [2,1,2,2,2,1,2] => [2,2,2,2,2,1,1] => 7
[2,1,12,5,4,7,6,9,8,11,10,3] => [2,1,2,2,2,2,1] => [2,2,2,2,2,1,1] => 7
[2,1,12,5,4,7,6,11,10,9,8,3] => [2,1,2,2,1,2,1,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,10,5,4,9,8,7,6,3,12,11] => [2,1,2,1,2,1,1,2] => [2,2,2,2,1,1,1,1] => 8
[2,1,12,5,4,9,8,7,6,11,10,3] => [2,1,2,1,2,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,12,5,4,11,8,7,10,9,6,3] => [2,1,2,1,2,2,1,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,12,5,4,11,10,9,8,7,6,3] => [2,1,2,1,1,2,1,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[2,1,8,7,6,5,4,3,10,9,12,11] => [2,1,1,2,1,1,2,2] => [2,2,2,2,1,1,1,1] => 8
[2,1,8,7,6,5,4,3,12,11,10,9] => [2,1,1,2,1,1,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[2,1,10,7,6,5,4,9,8,3,12,11] => [2,1,1,2,1,2,1,2] => [2,2,2,2,1,1,1,1] => 8
[2,1,12,7,6,5,4,9,8,11,10,3] => [2,1,1,2,1,2,2,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,12,7,6,5,4,11,10,9,8,3] => [2,1,1,2,1,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[2,1,10,9,6,5,8,7,4,3,12,11] => [2,1,1,2,2,1,1,2] => [2,2,2,2,1,1,1,1] => 8
[2,1,12,9,6,5,8,7,4,11,10,3] => [2,1,1,2,2,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,12,11,6,5,8,7,10,9,4,3] => [2,1,1,2,2,2,1,1] => [2,2,2,2,1,1,1,1] => 8
[2,1,12,11,6,5,10,9,8,7,4,3] => [2,1,1,2,1,2,1,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[2,1,10,9,8,7,6,5,4,3,12,11] => [2,1,1,1,2,1,1,1,2] => [2,2,2,1,1,1,1,1,1] => 9
[2,1,12,9,8,7,6,5,4,11,10,3] => [2,1,1,1,2,1,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[2,1,12,11,8,7,6,5,10,9,4,3] => [2,1,1,1,2,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[2,1,12,11,10,7,6,9,8,5,4,3] => [2,1,1,1,2,2,1,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[2,1,12,11,10,9,8,7,6,5,4,3] => [2,1,1,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[4,3,2,1,6,5,8,7,10,9,12,11] => [1,2,1,2,2,2,2] => [2,2,2,2,2,1,1] => 7
[4,3,2,1,6,5,8,7,12,11,10,9] => [1,2,1,2,2,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[4,3,2,1,6,5,10,9,8,7,12,11] => [1,2,1,2,1,2,1,2] => [2,2,2,2,1,1,1,1] => 8
[4,3,2,1,6,5,12,9,8,11,10,7] => [1,2,1,2,1,2,2,1] => [2,2,2,2,1,1,1,1] => 8
[4,3,2,1,6,5,12,11,10,9,8,7] => [1,2,1,2,1,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[4,3,2,1,8,7,6,5,10,9,12,11] => [1,2,1,1,2,1,2,2] => [2,2,2,2,1,1,1,1] => 8
[4,3,2,1,8,7,6,5,12,11,10,9] => [1,2,1,1,2,1,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[4,3,2,1,10,7,6,9,8,5,12,11] => [1,2,1,1,2,2,1,2] => [2,2,2,2,1,1,1,1] => 8
[4,3,2,1,12,7,6,9,8,11,10,5] => [1,2,1,1,2,2,2,1] => [2,2,2,2,1,1,1,1] => 8
[4,3,2,1,12,7,6,11,10,9,8,5] => [1,2,1,1,2,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[4,3,2,1,10,9,8,7,6,5,12,11] => [1,2,1,1,1,2,1,1,2] => [2,2,2,1,1,1,1,1,1] => 9
[4,3,2,1,12,9,8,7,6,11,10,5] => [1,2,1,1,1,2,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[4,3,2,1,12,11,8,7,10,9,6,5] => [1,2,1,1,1,2,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[4,3,2,1,12,11,10,9,8,7,6,5] => [1,2,1,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[6,3,2,5,4,1,8,7,10,9,12,11] => [1,2,2,1,2,2,2] => [2,2,2,2,2,1,1] => 7
[6,3,2,5,4,1,8,7,12,11,10,9] => [1,2,2,1,2,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[6,3,2,5,4,1,10,9,8,7,12,11] => [1,2,2,1,1,2,1,2] => [2,2,2,2,1,1,1,1] => 8
[6,3,2,5,4,1,12,9,8,11,10,7] => [1,2,2,1,1,2,2,1] => [2,2,2,2,1,1,1,1] => 8
[6,3,2,5,4,1,12,11,10,9,8,7] => [1,2,2,1,1,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[8,3,2,5,4,7,6,1,10,9,12,11] => [1,2,2,2,1,2,2] => [2,2,2,2,2,1,1] => 7
[8,3,2,5,4,7,6,1,12,11,10,9] => [1,2,2,2,1,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[10,3,2,5,4,7,6,9,8,1,12,11] => [1,2,2,2,2,1,2] => [2,2,2,2,2,1,1] => 7
[12,3,2,5,4,7,6,9,8,11,10,1] => [1,2,2,2,2,2,1] => [2,2,2,2,2,1,1] => 7
[12,3,2,5,4,7,6,11,10,9,8,1] => [1,2,2,2,1,2,1,1] => [2,2,2,2,1,1,1,1] => 8
[10,3,2,5,4,9,8,7,6,1,12,11] => [1,2,2,1,2,1,1,2] => [2,2,2,2,1,1,1,1] => 8
[12,3,2,5,4,9,8,7,6,11,10,1] => [1,2,2,1,2,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[12,3,2,5,4,11,8,7,10,9,6,1] => [1,2,2,1,2,2,1,1] => [2,2,2,2,1,1,1,1] => 8
[12,3,2,5,4,11,10,9,8,7,6,1] => [1,2,2,1,1,2,1,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[8,3,2,7,6,5,4,1,10,9,12,11] => [1,2,1,2,1,1,2,2] => [2,2,2,2,1,1,1,1] => 8
[8,3,2,7,6,5,4,1,12,11,10,9] => [1,2,1,2,1,1,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[10,3,2,7,6,5,4,9,8,1,12,11] => [1,2,1,2,1,2,1,2] => [2,2,2,2,1,1,1,1] => 8
[12,3,2,7,6,5,4,9,8,11,10,1] => [1,2,1,2,1,2,2,1] => [2,2,2,2,1,1,1,1] => 8
[12,3,2,7,6,5,4,11,10,9,8,1] => [1,2,1,2,1,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[10,3,2,9,6,5,8,7,4,1,12,11] => [1,2,1,2,2,1,1,2] => [2,2,2,2,1,1,1,1] => 8
[12,3,2,9,6,5,8,7,4,11,10,1] => [1,2,1,2,2,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[12,3,2,11,6,5,8,7,10,9,4,1] => [1,2,1,2,2,2,1,1] => [2,2,2,2,1,1,1,1] => 8
[12,3,2,11,6,5,10,9,8,7,4,1] => [1,2,1,2,1,2,1,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[10,3,2,9,8,7,6,5,4,1,12,11] => [1,2,1,1,2,1,1,1,2] => [2,2,2,1,1,1,1,1,1] => 9
[12,3,2,9,8,7,6,5,4,11,10,1] => [1,2,1,1,2,1,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,3,2,11,8,7,6,5,10,9,4,1] => [1,2,1,1,2,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,3,2,11,10,7,6,9,8,5,4,1] => [1,2,1,1,2,2,1,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,3,2,11,10,9,8,7,6,5,4,1] => [1,2,1,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[6,5,4,3,2,1,8,7,10,9,12,11] => [1,1,2,1,1,2,2,2] => [2,2,2,2,1,1,1,1] => 8
[6,5,4,3,2,1,8,7,12,11,10,9] => [1,1,2,1,1,2,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[6,5,4,3,2,1,10,9,8,7,12,11] => [1,1,2,1,1,1,2,1,2] => [2,2,2,1,1,1,1,1,1] => 9
[6,5,4,3,2,1,12,9,8,11,10,7] => [1,1,2,1,1,1,2,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[6,5,4,3,2,1,12,11,10,9,8,7] => [1,1,2,1,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[8,5,4,3,2,7,6,1,10,9,12,11] => [1,1,2,1,2,1,2,2] => [2,2,2,2,1,1,1,1] => 8
[8,5,4,3,2,7,6,1,12,11,10,9] => [1,1,2,1,2,1,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[10,5,4,3,2,7,6,9,8,1,12,11] => [1,1,2,1,2,2,1,2] => [2,2,2,2,1,1,1,1] => 8
[12,5,4,3,2,7,6,9,8,11,10,1] => [1,1,2,1,2,2,2,1] => [2,2,2,2,1,1,1,1] => 8
[12,5,4,3,2,7,6,11,10,9,8,1] => [1,1,2,1,2,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[10,5,4,3,2,9,8,7,6,1,12,11] => [1,1,2,1,1,2,1,1,2] => [2,2,2,1,1,1,1,1,1] => 9
[12,5,4,3,2,9,8,7,6,11,10,1] => [1,1,2,1,1,2,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,5,4,3,2,11,8,7,10,9,6,1] => [1,1,2,1,1,2,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,5,4,3,2,11,10,9,8,7,6,1] => [1,1,2,1,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[8,7,4,3,6,5,2,1,10,9,12,11] => [1,1,2,2,1,1,2,2] => [2,2,2,2,1,1,1,1] => 8
[8,7,4,3,6,5,2,1,12,11,10,9] => [1,1,2,2,1,1,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[10,7,4,3,6,5,2,9,8,1,12,11] => [1,1,2,2,1,2,1,2] => [2,2,2,2,1,1,1,1] => 8
[12,7,4,3,6,5,2,9,8,11,10,1] => [1,1,2,2,1,2,2,1] => [2,2,2,2,1,1,1,1] => 8
[12,7,4,3,6,5,2,11,10,9,8,1] => [1,1,2,2,1,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[10,9,4,3,6,5,8,7,2,1,12,11] => [1,1,2,2,2,1,1,2] => [2,2,2,2,1,1,1,1] => 8
[12,9,4,3,6,5,8,7,2,11,10,1] => [1,1,2,2,2,1,2,1] => [2,2,2,2,1,1,1,1] => 8
[12,11,4,3,6,5,8,7,10,9,2,1] => [1,1,2,2,2,2,1,1] => [2,2,2,2,1,1,1,1] => 8
[12,11,4,3,6,5,10,9,8,7,2,1] => [1,1,2,2,1,2,1,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[10,9,4,3,8,7,6,5,2,1,12,11] => [1,1,2,1,2,1,1,1,2] => [2,2,2,1,1,1,1,1,1] => 9
[12,9,4,3,8,7,6,5,2,11,10,1] => [1,1,2,1,2,1,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,11,4,3,8,7,6,5,10,9,2,1] => [1,1,2,1,2,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,11,4,3,10,7,6,9,8,5,2,1] => [1,1,2,1,2,2,1,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,11,4,3,10,9,8,7,6,5,2,1] => [1,1,2,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[8,7,6,5,4,3,2,1,10,9,12,11] => [1,1,1,2,1,1,1,2,2] => [2,2,2,1,1,1,1,1,1] => 9
[8,7,6,5,4,3,2,1,12,11,10,9] => [1,1,1,2,1,1,1,1,2,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[10,7,6,5,4,3,2,9,8,1,12,11] => [1,1,1,2,1,1,2,1,2] => [2,2,2,1,1,1,1,1,1] => 9
[12,7,6,5,4,3,2,9,8,11,10,1] => [1,1,1,2,1,1,2,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,7,6,5,4,3,2,11,10,9,8,1] => [1,1,1,2,1,1,1,2,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[10,9,6,5,4,3,8,7,2,1,12,11] => [1,1,1,2,1,2,1,1,2] => [2,2,2,1,1,1,1,1,1] => 9
[12,9,6,5,4,3,8,7,2,11,10,1] => [1,1,1,2,1,2,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,11,6,5,4,3,8,7,10,9,2,1] => [1,1,1,2,1,2,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,11,6,5,4,3,10,9,8,7,2,1] => [1,1,1,2,1,1,2,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[10,9,8,5,4,7,6,3,2,1,12,11] => [1,1,1,2,2,1,1,1,2] => [2,2,2,1,1,1,1,1,1] => 9
[12,9,8,5,4,7,6,3,2,11,10,1] => [1,1,1,2,2,1,1,2,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,11,8,5,4,7,6,3,10,9,2,1] => [1,1,1,2,2,1,2,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,11,10,5,4,7,6,9,8,3,2,1] => [1,1,1,2,2,2,1,1,1] => [2,2,2,1,1,1,1,1,1] => 9
[12,11,10,5,4,9,8,7,6,3,2,1] => [1,1,1,2,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[10,9,8,7,6,5,4,3,2,1,12,11] => [1,1,1,1,2,1,1,1,1,2] => [2,2,1,1,1,1,1,1,1,1] => 10
[12,9,8,7,6,5,4,3,2,11,10,1] => [1,1,1,1,2,1,1,1,2,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[12,11,8,7,6,5,4,3,10,9,2,1] => [1,1,1,1,2,1,1,2,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[12,11,10,7,6,5,4,9,8,3,2,1] => [1,1,1,1,2,1,2,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[12,11,10,9,6,5,8,7,4,3,2,1] => [1,1,1,1,2,2,1,1,1,1] => [2,2,1,1,1,1,1,1,1,1] => 10
[12,11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,2,1,1,1,1,1] => [2,1,1,1,1,1,1,1,1,1,1] => 11
[7,4,6,1,8,3,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,3,5,1,7,4,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,3,4,1,7,5,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[4,8,3,1,7,5,6,2] => [3,1,3,1] => [3,3,1,1] => 4
[4,6,2,1,7,5,8,3] => [3,1,2,2] => [3,2,2,1] => 4
[1,4,6,2,7,5,8,3] => [1,3,2,2] => [3,2,2,1] => 4
[1,7,5,2,6,8,4,3] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[7,5,2,1,6,8,4,3] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[6,8,4,3,1,7,5,2] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[3,6,8,4,1,7,5,2] => [4,1,2,1] => [4,2,1,1] => 4
[3,6,7,5,1,8,4,2] => [3,2,2,1] => [3,2,2,1] => 4
[7,5,6,1,8,3,4,2] => [1,3,3,1] => [3,3,1,1] => 4
[3,4,6,5,7,1,8,2] => [3,3,2] => [3,3,2] => 3
[4,7,5,6,1,8,3,2] => [2,3,2,1] => [3,2,2,1] => 4
[6,7,5,1,8,4,3,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[6,8,4,1,7,5,3,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[6,7,5,3,1,8,4,2] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[8,4,2,1,6,7,5,3] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[1,8,4,2,6,7,5,3] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[1,5,3,2,7,6,8,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[5,3,2,1,7,6,8,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[2,5,3,1,7,6,8,4] => [3,1,2,2] => [3,2,2,1] => 4
[2,8,4,1,6,7,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[2,7,5,1,6,8,4,3] => [2,2,3,1] => [3,2,2,1] => 4
[2,4,6,1,7,5,8,3] => [4,2,2] => [4,2,2] => 3
[4,7,1,6,5,8,2,3] => [3,2,3] => [3,3,2] => 3
[4,8,2,6,5,7,1,3] => [3,2,3] => [3,3,2] => 3
[4,6,1,2,7,5,8,3] => [4,2,2] => [4,2,2] => 3
[7,5,1,2,6,8,4,3] => [1,3,3,1] => [3,3,1,1] => 4
[8,4,1,2,6,7,5,3] => [1,3,3,1] => [3,3,1,1] => 4
[5,3,1,2,7,6,8,4] => [1,3,2,2] => [3,2,2,1] => 4
[1,2,5,3,7,6,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[4,3,1,2,7,6,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[3,5,1,2,7,6,8,4] => [4,2,2] => [4,2,2] => 3
[6,7,1,5,8,2,3,4] => [3,5] => [5,3] => 2
[2,7,6,1,5,8,3,4] => [2,3,3] => [3,3,2] => 3
[2,3,5,1,7,6,8,4] => [4,2,2] => [4,2,2] => 3
[7,6,1,5,8,3,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[3,6,7,1,5,8,2,4] => [5,3] => [5,3] => 2
[7,1,6,5,8,2,4,3] => [2,1,4,1] => [4,2,1,1] => 4
[7,5,1,6,8,4,2,3] => [1,2,3,2] => [3,2,2,1] => 4
[8,4,1,6,7,5,2,3] => [1,2,3,2] => [3,2,2,1] => 4
[5,2,3,1,7,6,8,4] => [3,1,2,2] => [3,2,2,1] => 4
[3,5,2,1,7,6,8,4] => [3,1,2,2] => [3,2,2,1] => 4
[1,3,5,2,7,6,8,4] => [1,3,2,2] => [3,2,2,1] => 4
[1,7,6,2,5,8,3,4] => [1,1,3,3] => [3,3,1,1] => 4
[7,6,2,1,5,8,3,4] => [1,2,2,3] => [3,2,2,1] => 4
[8,3,1,5,7,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[6,2,4,1,7,5,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[6,2,5,1,7,4,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[7,1,6,4,8,2,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,2,6,4,7,1,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[6,1,5,2,7,4,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[7,6,2,5,8,3,1,4] => [1,2,3,2] => [3,2,2,1] => 4
[8,3,5,7,6,2,1,4] => [1,3,2,2] => [3,2,2,1] => 4
[1,8,3,5,7,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[1,5,2,3,7,6,8,4] => [1,3,2,2] => [3,2,2,1] => 4
[5,2,1,3,7,6,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[7,5,2,6,8,4,1,3] => [1,2,3,2] => [3,2,2,1] => 4
[8,4,2,6,7,5,1,3] => [1,2,3,2] => [3,2,2,1] => 4
[6,1,4,2,7,5,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[8,2,6,5,7,1,4,3] => [2,1,4,1] => [4,2,1,1] => 4
[3,6,8,2,5,7,1,4] => [5,3] => [5,3] => 2
[8,3,2,5,7,6,1,4] => [1,2,3,2] => [3,2,2,1] => 4
[5,1,3,2,7,6,8,4] => [3,1,2,2] => [3,2,2,1] => 4
[4,1,3,2,7,6,8,5] => [3,1,2,2] => [3,2,2,1] => 4
[4,2,1,3,7,6,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[1,4,2,3,7,6,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[2,4,1,3,7,6,8,5] => [4,2,2] => [4,2,2] => 3
[2,5,1,3,7,6,8,4] => [4,2,2] => [4,2,2] => 3
[2,8,3,5,7,6,1,4] => [3,3,2] => [3,3,2] => 3
[6,8,2,3,5,7,1,4] => [5,3] => [5,3] => 2
[6,7,1,3,5,8,2,4] => [5,3] => [5,3] => 2
[8,3,5,7,6,1,2,4] => [1,3,4] => [4,3,1] => 3
[5,1,2,3,7,6,8,4] => [4,2,2] => [4,2,2] => 3
[3,1,2,4,7,6,8,5] => [4,2,2] => [4,2,2] => 3
[10,8,9,5,6,7,1,2,3,4] => [1,2,7] => [7,2,1] => 3
[10,8,9,4,5,6,1,2,3,7] => [1,5,4] => [5,4,1] => 3
[10,7,8,5,6,9,1,2,3,4] => [1,2,7] => [7,2,1] => 3
[10,7,8,4,5,9,1,2,3,6] => [1,4,5] => [5,4,1] => 3
[10,6,7,4,5,8,1,2,3,9] => [1,4,5] => [5,4,1] => 3
[10,7,8,3,4,9,1,2,5,6] => [1,4,5] => [5,4,1] => 3
[10,6,7,3,4,8,1,2,5,9] => [1,4,5] => [5,4,1] => 3
[9,8,10,5,6,7,1,2,3,4] => [1,2,7] => [7,2,1] => 3
[9,8,10,4,5,6,1,2,3,7] => [1,5,4] => [5,4,1] => 3
[9,7,10,5,6,8,1,2,3,4] => [1,2,7] => [7,2,1] => 3
[9,7,10,4,5,8,1,2,3,6] => [1,4,5] => [5,4,1] => 3
[9,6,10,4,5,7,1,2,3,8] => [1,4,5] => [5,4,1] => 3
[9,7,10,3,4,8,1,2,5,6] => [1,4,5] => [5,4,1] => 3
[9,6,10,3,4,7,1,2,5,8] => [1,4,5] => [5,4,1] => 3
[8,7,9,5,6,10,1,2,3,4] => [1,2,7] => [7,2,1] => 3
[8,7,9,4,5,10,1,2,3,6] => [1,4,5] => [5,4,1] => 3
[8,6,9,4,5,10,1,2,3,7] => [1,4,5] => [5,4,1] => 3
[7,6,8,4,5,9,1,2,3,10] => [1,4,5] => [5,4,1] => 3
[8,7,9,3,4,10,1,2,5,6] => [1,4,5] => [5,4,1] => 3
[8,6,9,3,4,10,1,2,5,7] => [1,4,5] => [5,4,1] => 3
[7,6,8,3,4,9,1,2,5,10] => [1,4,5] => [5,4,1] => 3
[9,6,10,5,7,8,1,2,3,4] => [1,2,7] => [7,2,1] => 3
[9,6,10,4,7,8,1,2,3,5] => [1,3,6] => [6,3,1] => 3
[9,5,10,4,6,7,1,2,3,8] => [1,3,6] => [6,3,1] => 3
[9,6,10,3,7,8,1,2,4,5] => [1,3,6] => [6,3,1] => 3
[9,5,10,3,6,7,1,2,4,8] => [1,3,6] => [6,3,1] => 3
[8,6,9,5,7,10,1,2,3,4] => [1,2,7] => [7,2,1] => 3
[8,6,9,4,7,10,1,2,3,5] => [1,3,6] => [6,3,1] => 3
[8,5,9,4,6,10,1,2,3,7] => [1,3,6] => [6,3,1] => 3
[7,5,8,4,6,9,1,2,3,10] => [1,3,6] => [6,3,1] => 3
[8,6,9,3,7,10,1,2,4,5] => [1,3,6] => [6,3,1] => 3
[8,5,9,3,6,10,1,2,4,7] => [1,3,6] => [6,3,1] => 3
[7,5,8,3,6,9,1,2,4,10] => [1,3,6] => [6,3,1] => 3
[8,4,9,3,5,10,1,2,6,7] => [1,4,5] => [5,4,1] => 3
[7,4,8,3,5,9,1,2,6,10] => [1,4,5] => [5,4,1] => 3
[9,6,10,2,7,8,1,3,4,5] => [1,3,6] => [6,3,1] => 3
[9,5,10,2,6,7,1,3,4,8] => [1,3,6] => [6,3,1] => 3
[8,6,9,2,7,10,1,3,4,5] => [1,3,6] => [6,3,1] => 3
[8,5,9,2,6,10,1,3,4,7] => [1,3,6] => [6,3,1] => 3
[7,5,8,2,6,9,1,3,4,10] => [1,3,6] => [6,3,1] => 3
[8,4,9,2,5,10,1,3,6,7] => [1,4,5] => [5,4,1] => 3
[7,4,8,2,5,9,1,3,6,10] => [1,4,5] => [5,4,1] => 3
[8,1,2,4,3,6,5,7] => [4,2,2] => [4,2,2] => 3
[8,1,3,5,6,2,7,4] => [3,4,1] => [4,3,1] => 3
[8,1,3,4,2,6,7,5] => [4,3,1] => [4,3,1] => 3
[8,1,3,2,4,5,7,6] => [3,4,1] => [4,3,1] => 3
[2,7,8,3,4,5,6,1] => [7,1] => [7,1] => 2
[2,6,3,8,4,5,7,1] => [3,4,1] => [4,3,1] => 3
[6,3,2,1,4,5,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[7,3,1,4,2,6,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[7,4,1,5,6,8,2,3] => [1,2,5] => [5,2,1] => 3
[4,7,8,5,6,1,2,3] => [3,5] => [5,3] => 2
[3,7,8,5,6,2,1,4] => [3,3,2] => [3,3,2] => 3
[3,7,8,4,2,6,1,5] => [4,2,2] => [4,2,2] => 3
[3,7,8,2,4,5,1,6] => [6,2] => [6,2] => 2
[3,6,2,8,4,5,1,7] => [3,3,2] => [3,3,2] => 3
[2,3,6,7,4,5,8,1] => [6,2] => [6,2] => 2
[3,5,2,4,8,6,1,7] => [4,2,2] => [4,2,2] => 3
[3,5,4,2,8,7,1,6] => [2,2,1,3] => [3,2,2,1] => 4
[4,6,5,8,7,1,2,3] => [2,2,4] => [4,2,2] => 3
[6,4,5,1,7,8,2,3] => [1,3,4] => [4,3,1] => 3
[7,4,1,2,3,8,5,6] => [1,4,3] => [4,3,1] => 3
[6,2,4,1,3,7,5,8] => [2,3,3] => [3,3,2] => 3
[2,6,4,8,3,7,5,1] => [2,3,2,1] => [3,2,2,1] => 4
[2,6,5,8,7,3,4,1] => [2,2,3,1] => [3,2,2,1] => 4
[6,2,5,1,7,3,4,8] => [2,2,4] => [4,2,2] => 3
[6,5,2,1,8,3,4,7] => [1,2,1,4] => [4,2,1,1] => 4
[2,5,6,7,8,3,4,1] => [7,1] => [7,1] => 2
[2,4,6,7,3,8,5,1] => [5,2,1] => [5,2,1] => 3
[4,2,6,7,3,1,5,8] => [2,3,3] => [3,3,2] => 3
[4,7,8,2,3,1,5,6] => [5,3] => [5,3] => 2
[4,7,8,3,2,1,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[5,6,4,8,1,7,2,3] => [2,3,3] => [3,3,2] => 3
[5,6,3,8,1,2,7,4] => [3,4,1] => [4,3,1] => 3
[4,2,5,3,7,1,6,8] => [2,2,4] => [4,2,2] => 3
[4,3,6,7,2,1,8,5] => [1,4,1,2] => [4,2,1,1] => 4
[3,4,6,7,2,8,1,5] => [5,3] => [5,3] => 2
[3,4,5,2,7,8,1,6] => [4,4] => [4,4] => 2
[3,4,2,5,6,8,1,7] => [3,5] => [5,3] => 2
[5,2,7,8,6,4,1,3] => [2,2,2,2] => [2,2,2,2] => 4
[5,1,2,7,8,6,4,3] => [3,3,1,1] => [3,3,1,1] => 4
[4,7,1,8,6,5,2,3] => [3,1,2,2] => [3,2,2,1] => 4
[4,7,1,2,8,6,5,3] => [4,2,1,1] => [4,2,1,1] => 4
[4,6,8,1,2,7,5,3] => [5,2,1] => [5,2,1] => 3
[6,8,7,1,5,3,2,4] => [2,3,1,2] => [3,2,2,1] => 4
[6,8,7,3,5,1,2,4] => [2,3,3] => [3,3,2] => 3
[7,8,1,6,3,5,2,4] => [3,3,2] => [3,3,2] => 3
[7,8,1,3,6,5,2,4] => [4,2,2] => [4,2,2] => 3
[7,8,3,6,5,2,1,4] => [3,2,1,2] => [3,2,2,1] => 4
[4,7,2,8,6,1,5,3] => [3,1,3,1] => [3,3,1,1] => 4
[1,7,3,4,8,6,5,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[4,2,7,1,8,6,5,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[7,8,2,3,6,5,1,4] => [4,2,2] => [4,2,2] => 3
[8,5,7,1,6,2,3,4] => [1,3,4] => [4,3,1] => 3
[8,5,7,1,2,6,3,4] => [1,5,2] => [5,2,1] => 3
[6,8,2,7,1,3,5,4] => [3,4,1] => [4,3,1] => 3
[6,8,7,2,5,3,1,4] => [2,3,1,2] => [3,2,2,1] => 4
[6,2,4,8,7,1,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[1,6,8,3,7,4,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[1,6,8,3,4,7,5,2] => [1,4,2,1] => [4,2,1,1] => 4
[6,2,4,8,1,7,5,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,8,7,2,3,5,1,4] => [2,4,2] => [4,2,2] => 3
[6,8,2,1,7,3,5,4] => [3,1,3,1] => [3,3,1,1] => 4
[8,5,7,2,1,6,3,4] => [1,3,2,2] => [3,2,2,1] => 4
[8,5,7,1,2,3,6,4] => [1,6,1] => [6,1,1] => 3
[8,7,6,2,1,4,3,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[8,5,7,2,3,1,6,4] => [1,4,2,1] => [4,2,1,1] => 4
[5,8,4,2,7,1,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[1,8,7,5,3,4,6,2] => [1,1,1,4,1] => [4,1,1,1,1] => 5
[1,8,7,3,5,4,6,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[8,2,5,4,7,1,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,5,2,7,3,1,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,7,6,2,4,3,1,5] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[8,7,6,1,2,4,3,5] => [1,1,4,2] => [4,2,1,1] => 4
[8,7,6,1,4,2,3,5] => [1,1,3,3] => [3,3,1,1] => 4
[8,7,6,4,1,3,2,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[5,8,4,7,2,1,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[1,8,7,5,4,3,6,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 6
[1,6,8,4,3,7,5,2] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[6,8,7,3,2,5,1,4] => [2,2,2,2] => [2,2,2,2] => 4
[6,8,1,7,3,2,5,4] => [3,2,2,1] => [3,2,2,1] => 4
[8,5,7,3,1,6,2,4] => [1,3,2,2] => [3,2,2,1] => 4
[8,5,7,1,3,2,6,4] => [1,4,2,1] => [4,2,1,1] => 4
[8,5,7,3,1,2,6,4] => [1,3,3,1] => [3,3,1,1] => 4
[5,8,4,7,1,2,6,3] => [2,5,1] => [5,2,1] => 3
[5,8,4,1,7,2,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[5,8,4,7,1,6,2,3] => [2,4,2] => [4,2,2] => 3
[8,1,2,6,5,7,4,3] => [3,2,2,1] => [3,2,2,1] => 4
[8,2,5,6,7,4,1,3] => [2,4,2] => [4,2,2] => 3
[4,8,5,7,1,6,2,3] => [2,4,2] => [4,2,2] => 3
[4,8,5,7,1,2,6,3] => [2,5,1] => [5,2,1] => 3
[4,8,5,1,7,2,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,5,3,1,7,2,6,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[8,5,3,7,1,2,6,4] => [1,2,4,1] => [4,2,1,1] => 4
[6,8,1,3,7,2,5,4] => [4,3,1] => [4,3,1] => 3
[4,6,2,8,1,7,5,3] => [3,2,2,1] => [3,2,2,1] => 4
[1,6,4,8,3,7,5,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[1,8,7,4,5,3,6,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[4,8,5,7,2,1,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[8,5,3,7,2,1,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,7,6,3,1,4,2,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[8,7,6,1,3,2,4,5] => [1,1,3,3] => [3,3,1,1] => 4
[8,5,3,2,7,1,6,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[4,8,5,2,7,1,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[1,8,7,4,3,5,6,2] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[1,8,7,3,4,5,6,2] => [1,1,5,1] => [5,1,1,1] => 4
[8,2,4,5,7,1,6,3] => [2,5,1] => [5,2,1] => 3
[8,5,2,3,7,1,6,4] => [1,3,3,1] => [3,3,1,1] => 4
[6,3,1,5,4,2,8,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[8,3,1,5,2,7,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,5,4,2,1,7,3,6] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[8,5,4,2,1,7,6,3] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[6,5,4,2,1,3,8,7] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[6,5,4,2,3,1,8,7] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[6,3,2,5,1,4,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[6,5,4,3,1,2,8,7] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[6,5,4,1,3,2,8,7] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[8,5,4,1,2,7,6,3] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[8,7,4,1,6,3,2,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[8,7,4,1,6,3,5,2] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[8,7,4,1,6,5,3,2] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[8,5,4,1,3,7,6,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[8,5,4,3,1,7,6,2] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[8,3,2,5,1,7,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[2,1,8,5,3,7,6,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[8,3,2,5,1,7,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[8,5,4,3,1,7,2,6] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[8,5,4,1,3,7,2,6] => [1,1,3,3] => [3,3,1,1] => 4
[8,7,4,1,6,5,2,3] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[8,7,4,1,6,2,5,3] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[8,7,6,5,2,1,4,3] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 6
[8,7,4,3,6,2,1,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[8,3,2,7,6,4,1,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[2,1,8,7,6,4,3,5] => [2,1,1,2,2] => [2,2,2,1,1] => 5
[2,1,8,7,6,4,5,3] => [2,1,1,3,1] => [3,2,1,1,1] => 5
[8,3,2,7,6,4,5,1] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[8,7,4,3,6,2,5,1] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[8,7,6,5,2,4,3,1] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 6
[8,5,4,2,3,7,6,1] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[8,7,4,2,6,5,3,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[8,7,4,2,6,3,5,1] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[8,7,4,2,6,3,1,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[8,3,1,7,6,4,2,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[8,3,1,7,6,4,5,2] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[8,3,1,7,6,5,4,2] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[8,3,1,5,4,7,6,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,3,1,5,4,7,2,6] => [1,2,2,3] => [3,2,2,1] => 4
[8,3,1,7,6,5,2,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[8,3,1,7,6,2,5,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[8,7,4,2,6,1,5,3] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[8,7,4,2,6,5,1,3] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[8,5,4,2,3,7,1,6] => [1,1,3,3] => [3,3,1,1] => 4
[8,3,2,5,4,7,1,6] => [1,2,2,3] => [3,2,2,1] => 4
[2,1,8,5,4,7,3,6] => [2,1,2,3] => [3,2,2,1] => 4
[8,3,2,7,6,5,1,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[8,7,4,3,6,5,1,2] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[8,7,6,5,3,1,4,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 6
[8,7,6,5,1,3,2,4] => [1,1,1,3,2] => [3,2,1,1,1] => 5
[8,7,6,5,1,3,4,2] => [1,1,1,4,1] => [4,1,1,1,1] => 5
[8,7,6,5,1,4,3,2] => [1,1,1,3,1,1] => [3,1,1,1,1,1] => 6
[8,7,6,5,4,1,3,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 6
[8,7,4,3,6,1,5,2] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[8,3,2,7,6,1,5,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[2,1,8,7,6,3,5,4] => [2,1,1,3,1] => [3,2,1,1,1] => 5
[8,3,2,7,6,1,4,5] => [1,2,1,4] => [4,2,1,1] => 4
[8,7,6,5,1,4,2,3] => [1,1,1,3,2] => [3,2,1,1,1] => 5
[8,7,6,5,1,2,4,3] => [1,1,1,4,1] => [4,1,1,1,1] => 5
[7,3,5,1,8,4,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[7,3,4,1,8,5,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[4,5,6,2,1,8,7,3] => [4,1,2,1] => [4,2,1,1] => 4
[1,6,5,2,7,4,3,8] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[7,4,3,1,8,6,5,2] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[7,6,5,1,8,4,3,2] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[7,6,4,1,8,5,3,2] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[6,4,2,1,8,7,5,3] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[1,6,4,2,7,5,3,8] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[1,5,3,2,7,6,4,8] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[5,3,2,1,8,7,6,4] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[2,5,3,1,7,8,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[2,6,4,1,7,8,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[2,6,5,1,7,8,4,3] => [2,2,3,1] => [3,2,2,1] => 4
[4,5,7,1,6,8,2,3] => [4,4] => [4,4] => 2
[6,5,1,2,8,4,3,7] => [1,3,2,2] => [3,2,2,1] => 4
[6,4,1,2,8,5,3,7] => [1,3,2,2] => [3,2,2,1] => 4
[5,3,1,2,8,6,4,7] => [1,3,2,2] => [3,2,2,1] => 4
[4,3,1,2,8,6,5,7] => [1,3,2,2] => [3,2,2,1] => 4
[6,1,2,5,8,3,4,7] => [3,5] => [5,3] => 2
[7,1,3,4,8,2,5,6] => [4,4] => [4,4] => 2
[7,1,5,6,8,2,3,4] => [2,6] => [6,2] => 2
[2,6,1,5,7,8,3,4] => [3,5] => [5,3] => 2
[7,4,1,6,8,5,2,3] => [1,2,3,2] => [3,2,2,1] => 4
[5,2,3,1,8,6,7,4] => [3,1,3,1] => [3,3,1,1] => 4
[3,5,2,1,6,8,7,4] => [3,1,3,1] => [3,3,1,1] => 4
[1,6,2,5,7,3,4,8] => [1,2,5] => [5,2,1] => 3
[6,2,1,5,8,7,3,4] => [2,1,2,3] => [3,2,2,1] => 4
[7,3,1,5,8,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[6,2,4,1,8,5,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[6,2,5,1,8,4,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[7,3,1,4,8,6,2,5] => [1,3,2,2] => [3,2,2,1] => 4
[6,2,1,4,8,7,3,5] => [2,2,1,3] => [3,2,2,1] => 4
[1,6,2,4,7,3,5,8] => [1,3,4] => [4,3,1] => 3
[5,2,1,3,8,7,4,6] => [2,2,1,3] => [3,2,2,1] => 4
[7,4,1,3,8,5,2,6] => [1,3,2,2] => [3,2,2,1] => 4
[7,5,1,3,8,4,2,6] => [1,3,2,2] => [3,2,2,1] => 4
[3,6,7,1,4,8,2,5] => [5,3] => [5,3] => 2
[7,6,1,4,8,3,2,5] => [1,3,2,2] => [3,2,2,1] => 4
[4,2,1,3,8,7,5,6] => [2,2,1,3] => [3,2,2,1] => 4
[2,6,1,4,7,8,3,5] => [4,4] => [4,4] => 2
[7,1,4,6,8,2,3,5] => [2,6] => [6,2] => 2
[7,1,3,5,8,2,4,6] => [3,5] => [5,3] => 2
[6,1,2,4,8,3,5,7] => [4,4] => [4,4] => 2
[5,2,3,1,6,4,8,7] => [3,1,2,2] => [3,2,2,1] => 4
[7,4,5,2,3,1,8,6] => [1,4,1,2] => [4,2,1,1] => 4
[8,6,7,3,5,2,4,1] => [1,4,2,1] => [4,2,1,1] => 4
[7,3,5,2,4,1,8,6] => [1,4,1,2] => [4,2,1,1] => 4
[6,3,5,2,4,1,8,7] => [1,4,1,2] => [4,2,1,1] => 4
[5,2,4,1,6,3,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,6,3,5,2,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[6,3,4,1,5,2,8,7] => [1,4,1,2] => [4,2,1,1] => 4
[5,2,6,3,4,1,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[5,2,7,3,4,1,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[5,2,8,6,7,3,4,1] => [2,1,4,1] => [4,2,1,1] => 4
[6,2,8,5,7,3,4,1] => [2,1,4,1] => [4,2,1,1] => 4
[6,2,7,3,4,1,8,5] => [2,3,1,2] => [3,2,2,1] => 4
[7,3,4,1,5,2,8,6] => [1,4,1,2] => [4,2,1,1] => 4
[4,1,7,3,5,2,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[3,1,7,4,5,2,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[2,1,7,4,5,3,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[3,1,8,6,7,4,5,2] => [2,1,4,1] => [4,2,1,1] => 4
[4,1,8,6,7,3,5,2] => [2,1,4,1] => [4,2,1,1] => 4
[8,6,7,3,4,1,5,2] => [1,4,2,1] => [4,2,1,1] => 4
[8,5,7,3,4,1,6,2] => [1,4,2,1] => [4,2,1,1] => 4
[8,5,6,2,7,3,4,1] => [1,3,3,1] => [3,3,1,1] => 4
[8,4,7,3,5,1,6,2] => [1,4,2,1] => [4,2,1,1] => 4
[5,1,8,4,7,3,6,2] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,8,5,7,3,6,2] => [2,1,4,1] => [4,2,1,1] => 4
[3,1,8,5,7,4,6,2] => [2,1,4,1] => [4,2,1,1] => 4
[2,1,8,5,7,4,6,3] => [2,1,4,1] => [4,2,1,1] => 4
[2,1,7,4,6,3,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,7,4,6,2,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,7,3,6,2,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[5,1,7,3,6,2,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[6,2,7,3,5,1,8,4] => [2,3,1,2] => [3,2,2,1] => 4
[6,2,8,4,7,3,5,1] => [2,2,3,1] => [3,2,2,1] => 4
[8,4,7,3,6,2,5,1] => [1,3,3,1] => [3,3,1,1] => 4
[7,3,6,2,5,1,8,4] => [1,4,1,2] => [4,2,1,1] => 4
[6,2,5,1,7,3,8,4] => [2,2,2,2] => [2,2,2,2] => 4
[5,2,4,1,7,3,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[6,2,4,1,7,3,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[8,5,7,3,6,2,4,1] => [1,3,3,1] => [3,3,1,1] => 4
[8,5,7,4,6,2,3,1] => [1,3,3,1] => [3,3,1,1] => 4
[7,4,6,2,3,1,8,5] => [1,4,1,2] => [4,2,1,1] => 4
[6,2,3,1,7,4,8,5] => [3,1,2,2] => [3,2,2,1] => 4
[5,2,3,1,7,4,8,6] => [3,1,2,2] => [3,2,2,1] => 4
[4,2,3,1,7,5,8,6] => [3,1,2,2] => [3,2,2,1] => 4
[3,1,4,2,8,6,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[6,2,3,1,8,5,7,4] => [3,1,3,1] => [3,3,1,1] => 4
[8,5,6,2,3,1,7,4] => [1,4,2,1] => [4,2,1,1] => 4
[7,4,8,5,6,2,3,1] => [1,2,4,1] => [4,2,1,1] => 4
[7,3,8,5,6,2,4,1] => [1,2,4,1] => [4,2,1,1] => 4
[8,5,6,2,4,1,7,3] => [1,4,2,1] => [4,2,1,1] => 4
[5,2,4,1,8,6,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,5,2,8,6,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,5,2,8,6,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[2,1,6,3,8,5,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,6,2,8,5,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,6,2,8,5,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[5,1,6,2,8,4,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,4,6,2,5,1,7,3] => [1,4,2,1] => [4,2,1,1] => 4
[7,3,8,4,6,2,5,1] => [1,3,3,1] => [3,3,1,1] => 4
[6,2,7,3,8,4,5,1] => [2,2,3,1] => [3,2,2,1] => 4
[8,4,5,1,6,2,7,3] => [1,3,3,1] => [3,3,1,1] => 4
[5,1,8,4,6,2,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,8,5,6,2,7,3] => [2,1,4,1] => [4,2,1,1] => 4
[3,1,8,5,6,2,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[2,1,8,5,6,3,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[2,1,7,4,8,5,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,7,4,8,5,6,2] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,7,3,8,5,6,2] => [2,2,3,1] => [3,2,2,1] => 4
[7,3,8,4,5,1,6,2] => [1,4,2,1] => [4,2,1,1] => 4
[8,4,5,1,7,3,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[7,3,6,2,8,4,5,1] => [1,3,3,1] => [3,3,1,1] => 4
[7,8,5,6,1,3,4,2] => [2,5,1] => [5,2,1] => 3
[7,8,1,3,6,2,5,4] => [4,3,1] => [4,3,1] => 3
[1,3,8,4,7,2,5,6] => [1,3,4] => [4,3,1] => 3
[3,6,1,4,7,2,5,8] => [4,4] => [4,4] => 2
[4,6,1,2,5,7,3,8] => [5,3] => [5,3] => 2
[1,4,8,2,5,7,3,6] => [1,4,3] => [4,3,1] => 3
[7,8,2,4,5,6,1,3] => [6,2] => [6,2] => 2
[7,8,1,5,4,6,3,2] => [3,3,1,1] => [3,3,1,1] => 4
[7,8,2,1,6,3,4,5] => [3,1,4] => [4,3,1] => 3
[7,8,3,5,6,4,1,2] => [3,3,2] => [3,3,2] => 3
[7,8,1,4,2,3,6,5] => [4,3,1] => [4,3,1] => 3
[7,8,5,1,4,2,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[7,8,4,5,3,1,6,2] => [2,3,2,1] => [3,2,2,1] => 4
[1,5,8,4,3,2,7,6] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[5,6,1,4,3,2,7,8] => [4,1,3] => [4,3,1] => 3
[2,6,4,8,3,7,1,5] => [2,3,3] => [3,3,2] => 3
[1,4,6,8,3,7,5,2] => [1,4,2,1] => [4,2,1,1] => 4
[2,4,8,5,3,1,6,7] => [3,2,3] => [3,3,2] => 3
[2,5,8,1,4,7,6,3] => [5,2,1] => [5,2,1] => 3
[3,5,8,4,7,6,1,2] => [4,2,2] => [4,2,2] => 3
[1,6,2,4,7,3,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[5,6,2,1,4,7,8,3] => [3,2,3] => [3,3,2] => 3
[4,6,2,5,3,1,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[4,7,5,1,3,6,8,2] => [2,4,2] => [4,2,2] => 3
[7,5,3,6,2,4,1,8] => [1,2,3,2] => [3,2,2,1] => 4
[5,7,3,6,1,4,8,2] => [3,3,2] => [3,3,2] => 3
[5,3,6,7,2,1,8,4] => [1,4,1,2] => [4,2,1,1] => 4
[6,1,7,5,2,4,8,3] => [2,1,3,2] => [3,2,2,1] => 4
[6,3,1,2,4,5,8,7] => [1,5,2] => [5,2,1] => 3
[1,4,7,2,5,3,8,6] => [1,4,1,2] => [4,2,1,1] => 4
[4,6,7,8,3,5,1,2] => [6,2] => [6,2] => 2
[3,6,1,8,4,2,5,7] => [3,2,3] => [3,3,2] => 3
[1,6,7,5,8,2,4,3] => [1,2,4,1] => [4,2,1,1] => 4
[3,5,6,7,8,1,4,2] => [7,1] => [7,1] => 2
[3,6,5,7,8,2,1,4] => [2,4,2] => [4,2,2] => 3
[5,2,7,6,1,4,3,8] => [2,1,3,2] => [3,2,2,1] => 4
[2,5,7,6,8,1,3,4] => [3,5] => [5,3] => 2
[2,7,5,6,8,4,1,3] => [2,4,2] => [4,2,2] => 3
[2,1,6,8,4,5,3,7] => [2,4,2] => [4,2,2] => 3
[2,7,1,8,5,3,4,6] => [3,2,3] => [3,3,2] => 3
[3,7,6,8,5,4,1,2] => [2,3,1,2] => [3,2,2,1] => 4
[4,3,8,5,6,7,1,2] => [1,2,5] => [5,2,1] => 3
[4,2,8,1,6,3,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,1,8,5,4,6,7,2] => [2,1,4,1] => [4,2,1,1] => 4
[3,2,8,4,5,6,1,7] => [2,4,2] => [4,2,2] => 3
[3,4,2,8,6,1,7,5] => [3,1,3,1] => [3,3,1,1] => 4
[3,4,7,1,5,2,6,8] => [5,3] => [5,3] => 2
[4,3,7,8,1,2,6,5] => [1,6,1] => [6,1,1] => 3
[1,7,3,8,5,2,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,1,8,3,6,2,5,7] => [2,2,4] => [4,2,2] => 3
[5,7,8,6,3,2,1,4] => [3,2,1,2] => [3,2,2,1] => 4
[5,7,8,6,1,3,4,2] => [3,4,1] => [4,3,1] => 3
[7,6,5,8,1,3,4,2] => [1,1,5,1] => [5,1,1,1] => 4
[1,6,4,3,8,2,5,7] => [1,1,2,4] => [4,2,1,1] => 4
[7,1,3,4,8,2,6,5] => [4,3,1] => [4,3,1] => 3
[3,6,5,4,1,2,7,8] => [2,2,4] => [4,2,2] => 3
[2,4,5,1,7,8,6,3] => [4,3,1] => [4,3,1] => 3
[2,6,3,4,5,8,1,7] => [5,3] => [5,3] => 2
[2,6,4,1,8,3,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[7,3,6,4,8,5,1,2] => [1,3,2,2] => [3,2,2,1] => 4
[7,2,1,4,8,3,5,6] => [2,2,4] => [4,2,2] => 3
[7,1,6,5,3,8,4,2] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[7,2,5,6,3,8,1,4] => [2,3,3] => [3,3,2] => 3
[6,5,2,7,1,8,4,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,6,2,7,3,1,4,8] => [3,2,3] => [3,3,2] => 3
[5,6,7,4,2,8,1,3] => [4,1,3] => [4,3,1] => 3
[5,7,6,4,1,8,3,2] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[6,7,1,5,2,8,3,4] => [3,2,3] => [3,3,2] => 3
[1,7,5,2,4,8,3,6] => [1,1,3,3] => [3,3,1,1] => 4
[6,1,5,2,8,3,4,7] => [2,2,4] => [4,2,2] => 3
[6,7,5,3,8,4,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[1,6,5,4,2,3,8,7] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[7,1,5,3,4,2,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[7,6,1,5,3,2,8,4] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[7,5,6,4,1,2,8,3] => [1,3,2,2] => [3,2,2,1] => 4
[6,7,5,4,3,1,8,2] => [2,2,1,1,2] => [2,2,2,1,1] => 5
[7,5,2,4,3,1,6,8] => [1,3,1,3] => [3,3,1,1] => 4
[7,4,6,1,2,5,3,8] => [1,5,2] => [5,2,1] => 3
[7,1,4,2,5,3,6,8] => [2,3,3] => [3,3,2] => 3
[6,8,1,4,2,5,7,3] => [4,3,1] => [4,3,1] => 3
[1,6,4,2,5,7,3,8] => [1,1,3,3] => [3,3,1,1] => 4
[1,6,3,7,5,4,2,8] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[6,8,1,3,7,5,4,2] => [4,2,1,1] => [4,2,1,1] => 4
[7,1,3,5,6,4,2,8] => [3,3,2] => [3,3,2] => 3
[7,3,1,6,4,5,2,8] => [1,2,3,2] => [3,2,2,1] => 4
[7,4,2,6,5,1,3,8] => [1,2,2,3] => [3,2,2,1] => 4
[7,4,6,3,1,5,2,8] => [1,3,2,2] => [3,2,2,1] => 4
[7,2,4,1,5,3,6,8] => [2,3,3] => [3,3,2] => 3
[7,2,3,5,4,1,6,8] => [3,2,3] => [3,3,2] => 3
[6,8,1,2,3,4,7,5] => [7,1] => [7,1] => 2
[1,5,7,2,3,8,6,4] => [1,4,2,1] => [4,2,1,1] => 4
[5,1,8,2,3,6,7,4] => [2,5,1] => [5,2,1] => 3
[5,8,2,3,7,6,4,1] => [4,2,1,1] => [4,2,1,1] => 4
[6,2,8,1,3,7,4,5] => [2,3,3] => [3,3,2] => 3
[6,8,2,3,5,4,7,1] => [5,2,1] => [5,2,1] => 3
[6,8,2,4,1,5,7,3] => [4,3,1] => [4,3,1] => 3
[6,8,3,1,2,4,7,5] => [3,4,1] => [4,3,1] => 3
[2,6,4,1,5,7,3,8] => [2,3,3] => [3,3,2] => 3
[2,6,3,5,7,1,4,8] => [3,5] => [5,3] => 2
[2,5,1,7,8,3,6,4] => [3,4,1] => [4,3,1] => 3
[2,5,3,6,8,4,7,1] => [3,4,1] => [4,3,1] => 3
[2,1,4,7,8,5,6,3] => [2,5,1] => [5,2,1] => 3
[2,4,7,6,8,5,1,3] => [3,3,2] => [3,3,2] => 3
[2,5,3,7,6,1,8,4] => [3,1,2,2] => [3,2,2,1] => 4
[2,5,7,8,1,4,6,3] => [7,1] => [7,1] => 2
[3,5,7,4,1,6,2,8] => [4,2,2] => [4,2,2] => 3
[5,3,4,1,8,6,7,2] => [1,3,3,1] => [3,3,1,1] => 4
[5,2,8,4,6,1,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[5,2,1,8,6,3,7,4] => [2,1,1,3,1] => [3,2,1,1,1] => 5
[4,2,8,6,5,3,7,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[4,2,8,5,7,6,3,1] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[1,4,2,7,5,8,6,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,1,8,6,7,5,3,2] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[5,3,8,7,6,2,4,1] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[5,8,4,7,6,2,1,3] => [2,2,2,2] => [2,2,2,2] => 4
[5,8,7,4,3,6,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[6,4,8,3,1,7,2,5] => [1,3,1,3] => [3,3,1,1] => 4
[6,4,2,8,7,1,3,5] => [1,2,1,4] => [4,2,1,1] => 4
[6,3,8,7,2,5,1,4] => [1,2,3,2] => [3,2,2,1] => 4
[5,8,3,7,1,6,4,2] => [3,3,1,1] => [3,3,1,1] => 4
[5,1,3,8,6,7,2,4] => [3,1,4] => [4,3,1] => 3
[1,5,3,7,8,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[1,5,7,6,4,2,8,3] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[5,8,7,4,1,6,2,3] => [2,2,2,2] => [2,2,2,2] => 4
[6,4,8,1,2,7,3,5] => [1,4,3] => [4,3,1] => 3
[6,8,5,1,2,3,7,4] => [2,5,1] => [5,2,1] => 3
[6,8,5,2,4,3,7,1] => [2,3,2,1] => [3,2,2,1] => 4
[6,8,5,3,1,2,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[4,5,1,2,7,6,3,8] => [4,2,2] => [4,2,2] => 3
[4,5,1,2,6,8,7,3] => [4,3,1] => [4,3,1] => 3
[3,5,6,1,8,4,7,2] => [4,3,1] => [4,3,1] => 3
[3,5,7,1,2,8,6,4] => [5,2,1] => [5,2,1] => 3
[3,6,2,7,5,1,4,8] => [3,2,3] => [3,3,2] => 3
[4,2,6,1,7,3,5,8] => [2,2,4] => [4,2,2] => 3
[4,6,3,1,2,7,5,8] => [3,2,3] => [3,3,2] => 3
[4,5,3,1,7,6,2,8] => [3,1,2,2] => [3,2,2,1] => 4
[4,2,5,7,1,6,3,8] => [2,4,2] => [4,2,2] => 3
[3,5,2,7,8,1,6,4] => [3,4,1] => [4,3,1] => 3
[3,1,4,7,5,6,2,8] => [2,4,2] => [4,2,2] => 3
[3,4,6,5,8,7,1,2] => [3,2,3] => [3,3,2] => 3
[3,1,4,5,8,6,7,2] => [2,5,1] => [5,2,1] => 3
[3,4,6,8,5,2,7,1] => [5,2,1] => [5,2,1] => 3
[3,5,6,2,8,4,7,1] => [4,3,1] => [4,3,1] => 3
[4,2,5,6,1,8,7,3] => [2,3,2,1] => [3,2,2,1] => 4
[4,5,3,1,6,8,7,2] => [3,1,3,1] => [3,3,1,1] => 4
[2,1,7,5,8,6,4,3] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[1,2,7,5,3,8,6,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[4,1,2,7,3,8,6,5] => [3,2,2,1] => [3,2,2,1] => 4
[6,4,1,7,5,2,3,8] => [1,2,2,3] => [3,2,2,1] => 4
[6,1,3,7,5,2,4,8] => [3,2,3] => [3,3,2] => 3
[3,1,2,6,8,5,4,7] => [3,3,2] => [3,3,2] => 3
[3,7,1,2,5,4,8,6] => [5,1,2] => [5,2,1] => 3
[1,3,7,2,4,8,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[2,4,1,7,8,6,5,3] => [3,3,1,1] => [3,3,1,1] => 4
[3,4,7,5,1,8,6,2] => [3,2,2,1] => [3,2,2,1] => 4
[2,7,4,1,5,8,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[2,3,7,1,5,8,6,4] => [5,2,1] => [5,2,1] => 3
[5,2,8,1,3,7,4,6] => [2,3,3] => [3,3,2] => 3
[2,1,6,8,3,4,7,5] => [2,5,1] => [5,2,1] => 3
[2,6,8,3,1,5,7,4] => [4,3,1] => [4,3,1] => 3
[2,8,6,4,1,5,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[3,6,4,8,5,1,7,2] => [2,3,2,1] => [3,2,2,1] => 4
[6,3,7,4,5,1,8,2] => [1,4,1,2] => [4,2,1,1] => 4
[2,6,3,7,5,8,1,4] => [3,2,3] => [3,3,2] => 3
[5,2,1,7,8,3,4,6] => [2,1,5] => [5,2,1] => 3
[4,7,2,3,6,8,1,5] => [4,4] => [4,4] => 2
[5,2,7,3,6,8,1,4] => [2,2,4] => [4,2,2] => 3
[5,7,4,6,2,8,1,3] => [2,3,3] => [3,3,2] => 3
[5,7,3,4,6,1,8,2] => [4,2,2] => [4,2,2] => 3
[5,3,8,4,6,1,7,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,5,2,4,1,6,7,3] => [1,3,3,1] => [3,3,1,1] => 4
[8,2,3,5,1,6,7,4] => [3,4,1] => [4,3,1] => 3
[4,2,8,3,6,7,1,5] => [2,2,4] => [4,2,2] => 3
[2,4,8,1,7,3,5,6] => [4,4] => [4,4] => 2
[8,4,1,3,6,2,5,7] => [1,3,4] => [4,3,1] => 3
[4,8,3,1,7,2,5,6] => [3,1,4] => [4,3,1] => 3
[5,2,8,4,7,1,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[5,8,4,7,3,1,6,2] => [2,3,2,1] => [3,2,2,1] => 4
[4,6,8,3,1,7,5,2] => [4,1,2,1] => [4,2,1,1] => 4
[6,3,8,2,7,1,5,4] => [1,3,3,1] => [3,3,1,1] => 4
[6,3,1,8,2,4,7,5] => [1,2,4,1] => [4,2,1,1] => 4
[5,3,8,1,2,6,4,7] => [1,5,2] => [5,2,1] => 3
[5,7,4,1,6,2,3,8] => [2,2,4] => [4,2,2] => 3
[8,5,4,1,2,6,3,7] => [1,1,4,2] => [4,2,1,1] => 4
[5,1,8,4,2,7,3,6] => [2,2,1,3] => [3,2,2,1] => 4
[1,6,2,8,5,3,7,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,8,5,3,1,7,4,2] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[8,4,5,1,2,6,3,7] => [1,5,2] => [5,2,1] => 3
[5,6,3,7,1,2,4,8] => [3,5] => [5,3] => 2
[1,6,3,7,2,8,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[6,3,2,7,8,5,1,4] => [1,2,3,2] => [3,2,2,1] => 4
[4,5,7,8,3,1,6,2] => [5,2,1] => [5,2,1] => 3
[4,7,2,5,8,1,6,3] => [3,4,1] => [4,3,1] => 3
[8,1,3,4,6,2,5,7] => [4,4] => [4,4] => 2
[3,8,2,4,6,7,1,5] => [4,4] => [4,4] => 2
[3,5,6,8,2,7,1,4] => [5,3] => [5,3] => 2
[2,4,5,6,8,1,7,3] => [7,1] => [7,1] => 2
[4,8,3,5,6,1,7,2] => [3,4,1] => [4,3,1] => 3
[5,6,2,3,7,8,1,4] => [4,4] => [4,4] => 2
[5,8,7,3,4,1,2,6] => [2,3,3] => [3,3,2] => 3
[6,8,7,3,4,1,2,5] => [2,3,3] => [3,3,2] => 3
[6,8,4,7,1,5,3,2] => [2,4,1,1] => [4,2,1,1] => 4
[6,8,4,7,2,5,3,1] => [2,4,1,1] => [4,2,1,1] => 4
[5,4,8,7,2,6,3,1] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[5,4,8,7,1,6,3,2] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[5,3,8,7,6,1,2,4] => [1,2,1,4] => [4,2,1,1] => 4
[4,3,8,7,6,1,2,5] => [1,2,1,4] => [4,2,1,1] => 4
[4,8,3,7,5,1,2,6] => [3,2,3] => [3,3,2] => 3
[8,3,4,6,5,1,2,7] => [1,4,3] => [4,3,1] => 3
[3,8,4,7,5,1,2,6] => [2,3,3] => [3,3,2] => 3
[3,4,8,7,6,1,2,5] => [3,1,4] => [4,3,1] => 3
[3,5,8,7,6,1,2,4] => [3,1,4] => [4,3,1] => 3
[4,5,8,7,6,1,2,3] => [3,1,4] => [4,3,1] => 3
[4,5,8,7,1,6,3,2] => [3,3,1,1] => [3,3,1,1] => 4
[4,5,8,7,2,6,3,1] => [3,3,1,1] => [3,3,1,1] => 4
[3,5,8,2,7,6,4,1] => [4,2,1,1] => [4,2,1,1] => 4
[3,5,8,1,7,6,4,2] => [4,2,1,1] => [4,2,1,1] => 4
[2,5,8,1,7,6,4,3] => [4,2,1,1] => [4,2,1,1] => 4
[2,5,8,7,1,6,3,4] => [3,3,2] => [3,3,2] => 3
[2,4,8,7,1,6,3,5] => [3,3,2] => [3,3,2] => 3
[2,8,4,7,1,5,3,6] => [2,4,2] => [4,2,2] => 3
[8,2,4,6,1,5,3,7] => [2,4,2] => [4,2,2] => 3
[8,1,4,6,2,5,3,7] => [2,4,2] => [4,2,2] => 3
[1,8,4,7,2,5,3,6] => [1,1,4,2] => [4,2,1,1] => 4
[1,4,8,7,2,6,3,5] => [1,2,3,2] => [3,2,2,1] => 4
[1,5,8,7,2,6,3,4] => [1,2,3,2] => [3,2,2,1] => 4
[1,5,8,2,7,6,4,3] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[2,5,8,3,7,6,4,1] => [4,2,1,1] => [4,2,1,1] => 4
[1,4,2,8,7,6,5,3] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[1,3,8,2,7,6,4,5] => [1,3,2,2] => [3,2,2,1] => 4
[1,8,3,2,7,5,4,6] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[8,1,3,2,6,5,4,7] => [3,1,2,2] => [3,2,2,1] => 4
[8,2,3,1,6,5,4,7] => [3,1,2,2] => [3,2,2,1] => 4
[2,8,3,1,7,5,4,6] => [3,1,2,2] => [3,2,2,1] => 4
[2,3,8,1,7,6,4,5] => [4,2,2] => [4,2,2] => 3
[3,4,1,8,7,6,5,2] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[4,3,1,8,7,6,5,2] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[4,2,1,8,7,6,5,3] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 6
[3,8,2,1,7,5,4,6] => [3,1,2,2] => [3,2,2,1] => 4
[8,3,2,1,6,5,4,7] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[8,4,2,6,1,5,3,7] => [1,2,3,2] => [3,2,2,1] => 4
[4,2,8,7,1,6,3,5] => [2,1,3,2] => [3,2,2,1] => 4
[5,2,8,7,1,6,3,4] => [2,1,3,2] => [3,2,2,1] => 4
[5,2,8,1,7,6,4,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[5,3,8,1,7,6,4,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[5,3,8,2,7,6,4,1] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[6,8,3,2,7,5,4,1] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[6,8,3,1,7,5,4,2] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[6,8,2,1,7,5,4,3] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[6,8,2,7,1,5,3,4] => [3,3,2] => [3,3,2] => 3
[6,8,7,2,1,4,3,5] => [2,2,2,2] => [2,2,2,2] => 4
[8,5,6,1,2,4,3,7] => [1,5,2] => [5,2,1] => 3
[5,8,7,1,2,4,3,6] => [2,4,2] => [4,2,2] => 3
[6,8,1,2,7,5,4,3] => [4,2,1,1] => [4,2,1,1] => 4
[6,8,2,3,7,5,4,1] => [4,2,1,1] => [4,2,1,1] => 4
[5,2,8,3,7,6,4,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[5,1,8,3,7,6,4,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[5,1,8,7,2,6,3,4] => [2,1,3,2] => [3,2,2,1] => 4
[4,1,8,7,2,6,3,5] => [2,1,3,2] => [3,2,2,1] => 4
[4,8,1,7,2,5,3,6] => [3,3,2] => [3,3,2] => 3
[8,4,1,6,2,5,3,7] => [1,2,3,2] => [3,2,2,1] => 4
[8,3,1,2,6,5,4,7] => [1,3,2,2] => [3,2,2,1] => 4
[3,8,1,2,7,5,4,6] => [4,2,2] => [4,2,2] => 3
[3,1,8,2,7,6,4,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,1,2,8,7,6,5,4] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[4,1,3,8,7,6,5,2] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[3,1,4,8,7,6,5,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[2,1,8,3,7,6,4,5] => [2,2,2,2] => [2,2,2,2] => 4
[2,8,1,3,7,5,4,6] => [4,2,2] => [4,2,2] => 3
[8,2,1,3,6,5,4,7] => [2,2,2,2] => [2,2,2,2] => 4
[8,1,2,3,6,5,4,7] => [4,2,2] => [4,2,2] => 3
[1,8,2,3,7,5,4,6] => [1,3,2,2] => [3,2,2,1] => 4
[1,2,8,3,7,6,4,5] => [2,2,2,2] => [2,2,2,2] => 4
[1,4,3,6,8,2,5,7] => [1,2,5] => [5,2,1] => 3
[3,1,6,2,5,8,4,7] => [2,3,3] => [3,3,2] => 3
[3,5,1,8,2,4,7,6] => [3,4,1] => [4,3,1] => 3
[1,4,5,2,8,3,7,6] => [1,3,3,1] => [3,3,1,1] => 4
[1,4,2,6,5,8,3,7] => [1,2,2,3] => [3,2,2,1] => 4
[1,5,4,2,6,8,3,7] => [1,1,2,4] => [4,2,1,1] => 4
[3,1,6,5,8,2,4,7] => [2,1,5] => [5,2,1] => 3
[1,6,4,2,5,8,3,7] => [1,1,3,3] => [3,3,1,1] => 4
[1,5,2,6,4,8,3,7] => [1,2,2,3] => [3,2,2,1] => 4
[1,2,6,5,4,8,3,7] => [2,1,2,3] => [3,2,2,1] => 4
[1,2,5,4,7,3,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,2,6,3,8,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[7,1,5,4,2,8,3,6] => [2,2,1,3] => [3,2,2,1] => 4
[1,4,7,5,2,8,3,6] => [1,2,2,3] => [3,2,2,1] => 4
[7,1,3,5,2,8,4,6] => [3,2,3] => [3,3,2] => 3
[7,2,5,1,8,3,4,6] => [2,2,4] => [4,2,2] => 3
[1,4,5,2,8,7,3,6] => [1,3,1,3] => [3,3,1,1] => 4
[1,6,4,2,8,3,7,5] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[1,4,2,8,3,7,6,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,2,5,3,8,7,6,4] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[1,2,8,6,5,3,7,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[1,5,2,8,6,3,7,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[1,6,4,2,8,7,3,5] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[6,2,1,8,7,3,4,5] => [2,1,1,4] => [4,2,1,1] => 4
[7,6,2,1,8,3,4,5] => [1,2,1,4] => [4,2,1,1] => 4
[7,3,1,6,2,8,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[1,7,6,4,2,8,3,5] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[1,7,5,2,6,3,8,4] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[1,6,2,7,5,3,8,4] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[1,2,7,6,5,3,8,4] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[1,2,6,5,3,8,7,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[1,5,2,6,3,8,7,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,5,2,7,6,3,8,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[1,6,5,2,7,3,8,4] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[1,5,7,4,2,8,3,6] => [1,3,1,3] => [3,3,1,1] => 4
[4,1,2,8,6,3,7,5] => [3,1,3,1] => [3,3,1,1] => 4
[3,1,8,6,2,4,7,5] => [2,1,4,1] => [4,2,1,1] => 4
[4,3,7,1,8,2,5,6] => [1,3,4] => [4,3,1] => 3
[8,3,1,6,2,4,7,5] => [1,2,4,1] => [4,2,1,1] => 4
[7,1,8,3,2,4,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[1,8,7,3,2,4,6,5] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[1,4,2,8,7,3,6,5] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[1,7,4,2,8,3,6,5] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[8,1,5,4,2,7,3,6] => [2,2,1,3] => [3,2,2,1] => 4
[1,4,8,5,2,7,3,6] => [1,2,2,3] => [3,2,2,1] => 4
[8,5,3,1,7,2,4,6] => [1,2,1,4] => [4,2,1,1] => 4
[8,6,2,1,7,3,4,5] => [1,2,1,4] => [4,2,1,1] => 4
[1,8,6,4,2,7,3,5] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[1,8,5,2,6,3,7,4] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[1,5,2,7,3,8,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,2,8,5,3,7,6,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[1,2,6,3,8,7,5,4] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[1,2,7,6,3,8,5,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[1,6,2,7,3,8,5,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,7,2,8,5,3,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,7,4,2,8,6,3,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[7,1,8,3,2,6,4,5] => [2,2,2,2] => [2,2,2,2] => 4
[7,2,1,8,6,3,4,5] => [2,1,1,4] => [4,2,1,1] => 4
[1,8,7,3,2,6,4,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[1,4,2,8,7,6,3,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[1,2,8,7,5,3,6,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[1,2,8,6,3,7,5,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[1,2,7,3,8,6,5,4] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[4,1,7,3,6,5,8,2] => [2,2,2,2] => [2,2,2,2] => 4
[5,1,8,7,6,2,4,3] => [2,1,1,3,1] => [3,2,1,1,1] => 5
[8,1,7,6,3,4,5,2] => [2,1,4,1] => [4,2,1,1] => 4
[5,7,8,6,2,4,1,3] => [3,3,2] => [3,3,2] => 3
[5,7,1,6,2,4,3,8] => [3,3,2] => [3,3,2] => 3
[6,4,1,5,2,7,3,8] => [1,2,2,3] => [3,2,2,1] => 4
[8,1,4,5,3,7,6,2] => [2,3,2,1] => [3,2,2,1] => 4
[6,1,4,5,3,8,7,2] => [2,3,2,1] => [3,2,2,1] => 4
[6,1,4,5,3,7,8,2] => [2,3,3] => [3,3,2] => 3
[5,1,7,8,6,2,4,3] => [2,2,3,1] => [3,2,2,1] => 4
[6,1,4,8,3,5,7,2] => [2,5,1] => [5,2,1] => 3
[7,1,8,6,3,4,5,2] => [2,1,4,1] => [4,2,1,1] => 4
[7,1,4,5,3,8,6,2] => [2,3,2,1] => [3,2,2,1] => 4
[7,1,4,5,3,6,8,2] => [2,4,2] => [4,2,2] => 3
[8,1,4,5,3,6,7,2] => [2,5,1] => [5,2,1] => 3
[7,4,1,5,2,6,3,8] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,5,7,2,1,4,8] => [1,4,3] => [4,3,1] => 3
[6,3,5,8,2,1,7,4] => [1,4,2,1] => [4,2,1,1] => 4
[6,3,5,7,2,1,8,4] => [1,4,1,2] => [4,2,1,1] => 4
[8,4,5,7,3,6,1,2] => [1,5,2] => [5,2,1] => 3
[6,4,5,8,3,7,2,1] => [1,4,2,1] => [4,2,1,1] => 4
[5,8,7,6,2,4,1,3] => [2,1,3,2] => [3,2,2,1] => 4
[5,4,8,6,3,1,7,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,4,1,8,2,3,7,6] => [1,2,4,1] => [4,2,1,1] => 4
[5,8,1,6,2,4,3,7] => [3,3,2] => [3,3,2] => 3
[8,4,1,5,2,6,3,7] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,5,8,2,1,4,7] => [1,4,3] => [4,3,1] => 3
[2,3,4,1,8,6,5,7] => [4,2,2] => [4,2,2] => 3
[8,3,5,6,2,1,4,7] => [1,4,3] => [4,3,1] => 3
[2,3,8,5,1,4,7,6] => [3,4,1] => [4,3,1] => 3
[2,3,8,6,1,5,7,4] => [3,4,1] => [4,3,1] => 3
[2,8,6,7,1,3,5,4] => [2,5,1] => [5,2,1] => 3
[8,3,5,7,2,1,6,4] => [1,4,2,1] => [4,2,1,1] => 4
[2,3,8,5,6,1,7,4] => [3,4,1] => [4,3,1] => 3
[7,4,5,6,3,1,8,2] => [1,4,1,2] => [4,2,1,1] => 4
[8,4,5,6,3,1,7,2] => [1,4,2,1] => [4,2,1,1] => 4
[7,3,5,6,2,8,1,4] => [1,4,3] => [4,3,1] => 3
[7,3,5,8,2,1,6,4] => [1,4,2,1] => [4,2,1,1] => 4
[7,3,5,6,2,1,4,8] => [1,4,3] => [4,3,1] => 3
[2,7,6,5,1,3,4,8] => [2,1,5] => [5,2,1] => 3
[2,7,6,8,1,3,5,4] => [2,5,1] => [5,2,1] => 3
[2,7,6,5,8,3,1,4] => [2,1,3,2] => [3,2,2,1] => 4
[8,7,5,6,1,4,2,3] => [1,1,4,2] => [4,2,1,1] => 4
[2,6,4,1,8,5,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[2,6,1,3,8,5,7,4] => [4,3,1] => [4,3,1] => 3
[2,7,1,3,6,5,8,4] => [4,2,2] => [4,2,2] => 3
[2,7,6,8,4,3,1,5] => [2,3,1,2] => [3,2,2,1] => 4
[2,7,6,1,8,3,4,5] => [2,2,4] => [4,2,2] => 3
[2,7,6,1,4,3,5,8] => [2,3,3] => [3,3,2] => 3
[7,3,5,1,2,8,4,6] => [1,4,3] => [4,3,1] => 3
[8,4,1,5,2,3,7,6] => [1,2,4,1] => [4,2,1,1] => 4
[7,8,1,6,3,4,2,5] => [3,3,2] => [3,3,2] => 3
[6,4,1,8,3,2,7,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[2,3,8,6,4,1,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[2,8,6,7,4,3,1,5] => [2,3,1,2] => [3,2,2,1] => 4
[8,3,5,7,2,4,1,6] => [1,5,2] => [5,2,1] => 3
[2,3,4,1,8,7,5,6] => [4,1,3] => [4,3,1] => 3
[2,8,6,1,7,3,4,5] => [2,2,4] => [4,2,2] => 3
[2,3,8,1,6,4,7,5] => [4,3,1] => [4,3,1] => 3
[2,3,8,1,4,5,7,6] => [7,1] => [7,1] => 2
[2,8,6,1,4,3,5,7] => [2,3,3] => [3,3,2] => 3
[1,2,3,4,5,6,7,9,8] => [7,2] => [7,2] => 2
[2,1,3,4,5,6,7,8,9] => [9] => [9] => 1
[1,2,3,4,5,6,7,8,10,9] => [8,2] => [8,2] => 2
[2,1,3,4,5,6,7,8,9,10] => [10] => [10] => 1
[1,2,3,4,5,6,7,8,9,11,10] => [9,2] => [9,2] => 2
[9,1,2,3,4,5,6,7,10,8] => [8,2] => [8,2] => 2
[1,8,2,3,4,5,6,9,7] => [1,6,2] => [6,2,1] => 3
[7,1,2,3,4,5,6,9,8] => [7,2] => [7,2] => 2
[2,1,9,3,4,5,6,7,8] => [2,7] => [7,2] => 2
[2,8,1,3,4,5,6,7,9] => [9] => [9] => 1
[2,10,1,3,4,5,6,7,8,9] => [10] => [10] => 1
[2,1,3,4,5,6,7,8,9,10,11] => [11] => [11] => 1
[8,4,3,6,5,1,7,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,5,6,3,4,1,7,2] => [1,4,2,1] => [4,2,1,1] => 4
[8,6,5,4,3,1,7,2] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[1,7,6,5,4,2,3,8] => [1,1,1,2,3] => [3,2,1,1,1] => 5
[1,8,6,5,2,7,3,4] => [1,1,1,2,3] => [3,2,1,1,1] => 5
[8,7,5,4,1,6,3,2] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[7,8,5,4,1,3,6,2] => [2,2,3,1] => [3,2,2,1] => 4
[6,8,5,4,2,1,7,3] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[5,8,6,2,4,1,7,3] => [2,3,2,1] => [3,2,2,1] => 4
[4,8,2,6,5,1,7,3] => [3,2,2,1] => [3,2,2,1] => 4
[3,2,8,6,5,1,7,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[3,2,1,7,6,4,5,8] => [2,1,1,4] => [4,2,1,1] => 4
[4,1,3,7,6,2,5,8] => [3,1,4] => [4,3,1] => 3
[5,1,7,3,6,2,4,8] => [2,2,4] => [4,2,2] => 3
[6,1,7,5,3,2,4,8] => [2,1,2,3] => [3,2,2,1] => 4
[7,1,6,5,2,4,3,8] => [2,1,3,2] => [3,2,2,1] => 4
[8,1,6,5,2,3,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[1,2,7,6,3,4,5,8] => [2,1,5] => [5,2,1] => 3
[1,2,8,3,7,4,5,6] => [2,2,4] => [4,2,2] => 3
[8,1,7,2,6,3,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[7,1,8,2,6,4,3,5] => [2,2,2,2] => [2,2,2,2] => 4
[6,1,8,2,4,7,3,5] => [2,3,3] => [3,3,2] => 3
[5,1,8,3,2,7,4,6] => [2,2,1,3] => [3,2,2,1] => 4
[4,1,3,8,2,7,5,6] => [3,2,3] => [3,3,2] => 3
[3,2,1,8,4,7,5,6] => [2,1,2,3] => [3,2,2,1] => 4
[3,2,8,7,1,6,5,4] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[4,8,2,7,1,6,5,3] => [3,3,1,1] => [3,3,1,1] => 4
[5,8,7,2,1,6,4,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[6,8,7,1,3,5,4,2] => [2,4,1,1] => [4,2,1,1] => 4
[7,8,6,1,5,3,4,2] => [2,3,2,1] => [3,2,2,1] => 4
[8,7,6,1,5,4,3,2] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 6
[1,8,7,2,6,5,3,4] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[1,7,8,2,5,6,3,4] => [1,5,2] => [5,2,1] => 3
[8,6,7,1,4,5,3,2] => [1,5,1,1] => [5,1,1,1] => 4
[7,6,8,1,4,3,5,2] => [1,4,2,1] => [4,2,1,1] => 4
[6,5,8,3,2,1,7,4] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[7,5,8,3,1,4,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,5,7,3,1,6,4,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[1,6,8,4,2,7,3,5] => [1,3,1,3] => [3,3,1,1] => 4
[1,5,4,8,2,7,3,6] => [1,1,3,3] => [3,3,1,1] => 4
[8,4,3,7,1,6,5,2] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[7,4,3,8,1,5,6,2] => [1,2,4,1] => [4,2,1,1] => 4
[6,4,3,1,5,2,7,8] => [1,2,2,3] => [3,2,2,1] => 4
[7,4,3,1,2,6,5,8] => [1,2,3,2] => [3,2,2,1] => 4
[8,4,3,1,2,5,7,6] => [1,2,4,1] => [4,2,1,1] => 4
[1,5,4,2,3,6,7,8] => [1,1,6] => [6,1,1] => 3
[8,5,1,4,2,3,7,6] => [1,3,3,1] => [3,3,1,1] => 4
[7,5,1,4,2,6,3,8] => [1,3,2,2] => [3,2,2,1] => 4
[6,5,1,4,3,2,7,8] => [1,3,1,3] => [3,3,1,1] => 4
[5,6,1,3,4,2,7,8] => [5,3] => [5,3] => 2
[4,6,2,1,5,3,7,8] => [3,2,3] => [3,3,2] => 3
[3,2,6,1,5,4,7,8] => [2,3,3] => [3,3,2] => 3
[3,2,7,1,4,6,5,8] => [2,4,2] => [4,2,2] => 3
[4,7,2,1,3,6,5,8] => [3,3,2] => [3,3,2] => 3
[5,7,1,3,2,6,4,8] => [4,2,2] => [4,2,2] => 3
[6,7,1,2,4,5,3,8] => [6,2] => [6,2] => 2
[7,6,1,2,5,4,3,8] => [1,4,1,2] => [4,2,1,1] => 4
[8,6,1,2,5,3,7,4] => [1,4,2,1] => [4,2,1,1] => 4
[1,7,2,3,6,4,5,8] => [1,3,4] => [4,3,1] => 3
[8,7,1,2,3,6,5,4] => [1,5,1,1] => [5,1,1,1] => 4
[7,8,1,2,3,5,6,4] => [7,1] => [7,1] => 2
[6,8,1,2,4,3,7,5] => [5,2,1] => [5,2,1] => 3
[5,8,1,3,2,4,7,6] => [4,3,1] => [4,3,1] => 3
[4,8,2,1,3,5,7,6] => [3,4,1] => [4,3,1] => 3
[3,2,8,1,4,5,7,6] => [2,5,1] => [5,2,1] => 3
[4,1,3,2,5,6,7,8] => [3,5] => [5,3] => 2
[5,1,2,4,3,6,7,8] => [4,4] => [4,4] => 2
[6,1,2,3,5,4,7,8] => [5,3] => [5,3] => 2
[7,1,2,3,4,6,5,8] => [6,2] => [6,2] => 2
[8,1,2,3,4,5,7,6] => [7,1] => [7,1] => 2
[6,7,3,8,5,1,2,4] => [3,2,3] => [3,3,2] => 3
[6,7,4,5,1,8,3,2] => [2,3,2,1] => [3,2,2,1] => 4
[5,4,7,6,8,1,2,3] => [1,2,5] => [5,2,1] => 3
[5,3,7,8,6,1,2,4] => [1,3,4] => [4,3,1] => 3
[3,8,4,5,7,1,2,6] => [2,6] => [6,2] => 2
[3,4,8,6,7,1,2,5] => [3,5] => [5,3] => 2
[4,5,6,7,1,8,3,2] => [5,2,1] => [5,2,1] => 3
[3,5,6,2,7,4,8,1] => [4,2,2] => [4,2,2] => 3
[3,5,6,1,7,8,4,2] => [4,3,1] => [4,3,1] => 3
[2,5,6,1,8,7,4,3] => [4,1,2,1] => [4,2,1,1] => 4
[2,5,6,8,1,7,3,4] => [5,3] => [5,3] => 2
[8,2,4,5,1,6,3,7] => [2,4,2] => [4,2,2] => 3
[1,4,8,6,2,3,7,5] => [1,2,4,1] => [4,2,1,1] => 4
[1,5,6,8,2,3,7,4] => [1,6,1] => [6,1,1] => 3
[1,5,6,2,8,4,7,3] => [1,3,3,1] => [3,3,1,1] => 4
[2,5,6,3,4,7,8,1] => [5,3] => [5,3] => 2
[1,4,2,6,8,5,7,3] => [1,2,4,1] => [4,2,1,1] => 4
[8,1,3,2,5,4,6,7] => [3,2,3] => [3,3,2] => 3
[8,2,3,1,5,6,4,7] => [3,3,2] => [3,3,2] => 3
[2,8,3,1,5,7,4,6] => [3,2,3] => [3,3,2] => 3
[2,4,1,6,8,7,5,3] => [3,2,2,1] => [3,2,2,1] => 4
[3,4,1,6,7,8,5,2] => [3,4,1] => [4,3,1] => 3
[4,3,1,7,6,8,5,2] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[5,2,7,8,1,6,3,4] => [2,4,2] => [4,2,2] => 3
[5,3,7,2,6,4,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[6,7,3,1,5,8,4,2] => [3,2,2,1] => [3,2,2,1] => 4
[6,7,2,1,8,5,4,3] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[6,7,2,8,1,5,3,4] => [3,3,2] => [3,3,2] => 3
[6,7,8,2,1,4,3,5] => [4,2,2] => [4,2,2] => 3
[6,7,1,2,8,4,5,3] => [4,3,1] => [4,3,1] => 3
[6,7,1,3,4,8,5,2] => [5,2,1] => [5,2,1] => 3
[5,2,7,3,4,6,8,1] => [2,4,2] => [4,2,2] => 3
[5,1,7,3,4,8,6,2] => [2,3,2,1] => [3,2,2,1] => 4
[5,1,7,8,2,3,6,4] => [2,5,1] => [5,2,1] => 3
[4,1,8,7,2,3,6,5] => [2,1,4,1] => [4,2,1,1] => 4
[3,8,1,2,7,4,5,6] => [4,4] => [4,4] => 2
[4,1,3,7,5,8,6,2] => [3,2,2,1] => [3,2,2,1] => 4
[3,1,4,5,7,8,6,2] => [2,5,1] => [5,2,1] => 3
[2,1,8,3,4,7,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[8,2,1,3,4,6,5,7] => [2,4,2] => [4,2,2] => 3
[1,8,2,3,4,5,7,6] => [1,6,1] => [6,1,1] => 3
[1,2,8,3,4,6,7,5] => [2,5,1] => [5,2,1] => 3
[4,2,1,6,5,8,7,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[5,2,6,1,4,8,7,3] => [2,3,2,1] => [3,2,2,1] => 4
[5,2,6,4,1,8,7,3] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[5,2,7,4,8,1,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[5,2,7,4,8,6,1,3] => [2,2,2,2] => [2,2,2,2] => 4
[5,7,2,3,8,6,1,4] => [4,2,2] => [4,2,2] => 3
[5,7,2,3,8,1,6,4] => [4,3,1] => [4,3,1] => 3
[5,6,2,3,1,8,7,4] => [4,1,2,1] => [4,2,1,1] => 4
[5,6,2,1,3,8,7,4] => [3,2,2,1] => [3,2,2,1] => 4
[5,1,6,4,2,8,7,3] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[5,6,1,3,2,8,7,4] => [4,1,2,1] => [4,2,1,1] => 4
[5,6,3,1,2,8,7,4] => [3,2,2,1] => [3,2,2,1] => 4
[5,6,3,2,1,8,7,4] => [3,1,1,2,1] => [3,2,1,1,1] => 5
[5,7,3,2,8,1,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[5,7,3,2,8,6,1,4] => [3,1,2,2] => [3,2,2,1] => 4
[6,7,3,8,2,1,5,4] => [3,2,2,1] => [3,2,2,1] => 4
[6,7,3,8,1,2,5,4] => [3,4,1] => [4,3,1] => 3
[5,7,3,1,8,2,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[5,7,1,3,8,2,6,4] => [4,3,1] => [4,3,1] => 3
[5,1,7,4,8,2,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[1,5,7,4,8,3,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[1,5,7,4,8,6,3,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[5,1,7,4,8,6,2,3] => [2,2,2,2] => [2,2,2,2] => 4
[5,7,1,3,8,6,2,4] => [4,2,2] => [4,2,2] => 3
[5,7,3,1,8,6,2,4] => [3,1,2,2] => [3,2,2,1] => 4
[6,7,3,8,1,5,2,4] => [3,3,2] => [3,3,2] => 3
[6,7,3,8,5,2,1,4] => [3,2,1,2] => [3,2,2,1] => 4
[6,7,8,3,1,4,2,5] => [4,2,2] => [4,2,2] => 3
[6,7,1,8,3,5,2,4] => [3,3,2] => [3,3,2] => 3
[6,1,7,8,4,5,2,3] => [2,4,2] => [4,2,2] => 3
[1,6,7,8,4,5,3,2] => [1,5,1,1] => [5,1,1,1] => 4
[1,6,7,8,4,3,5,2] => [1,4,2,1] => [4,2,1,1] => 4
[6,1,7,8,4,2,5,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,7,1,8,3,2,5,4] => [3,2,2,1] => [3,2,2,1] => 4
[5,7,2,1,8,3,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[6,7,2,8,1,3,5,4] => [3,4,1] => [4,3,1] => 3
[6,7,2,8,3,1,5,4] => [3,2,2,1] => [3,2,2,1] => 4
[6,7,2,8,3,5,1,4] => [3,3,2] => [3,3,2] => 3
[6,2,7,8,4,5,1,3] => [2,4,2] => [4,2,2] => 3
[6,2,7,8,4,1,5,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,2,7,8,1,4,5,3] => [2,5,1] => [5,2,1] => 3
[5,2,7,1,8,4,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[4,2,1,7,8,5,6,3] => [2,1,4,1] => [4,2,1,1] => 4
[4,1,2,7,8,6,5,3] => [3,3,1,1] => [3,3,1,1] => 4
[6,2,7,8,1,5,4,3] => [2,4,1,1] => [4,2,1,1] => 4
[6,2,7,8,5,1,4,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,2,7,8,5,4,1,3] => [2,3,1,2] => [3,2,2,1] => 4
[6,7,2,8,5,3,1,4] => [3,2,1,2] => [3,2,2,1] => 4
[5,7,2,1,8,6,3,4] => [3,1,2,2] => [3,2,2,1] => 4
[5,7,1,2,8,6,3,4] => [4,2,2] => [4,2,2] => 3
[5,1,7,2,8,6,4,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[1,5,7,3,8,6,4,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[1,6,7,8,3,5,4,2] => [1,5,1,1] => [5,1,1,1] => 4
[6,1,7,8,2,5,4,3] => [2,4,1,1] => [4,2,1,1] => 4
[6,7,1,8,2,5,3,4] => [3,3,2] => [3,3,2] => 3
[6,7,8,2,4,1,3,5] => [5,3] => [5,3] => 2
[6,7,8,2,4,3,1,5] => [5,1,2] => [5,2,1] => 3
[6,7,1,8,5,2,3,4] => [3,2,3] => [3,3,2] => 3
[6,1,7,8,5,2,4,3] => [2,3,2,1] => [3,2,2,1] => 4
[1,6,7,8,5,3,4,2] => [1,4,2,1] => [4,2,1,1] => 4
[6,1,7,8,5,4,2,3] => [2,3,1,2] => [3,2,2,1] => 4
[6,7,1,8,5,3,2,4] => [3,2,1,2] => [3,2,2,1] => 4
[6,7,8,4,1,3,2,5] => [4,2,2] => [4,2,2] => 3
[6,3,8,5,2,7,4,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,5,2,8,4,7,3,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,3,4,5,8,7,2,1] => [1,4,2,1] => [4,2,1,1] => 4
[3,8,4,7,5,2,1,6] => [2,3,1,2] => [3,2,2,1] => 4
[5,8,1,4,7,2,3,6] => [4,4] => [4,4] => 2
[5,6,1,4,8,7,3,2] => [4,1,2,1] => [4,2,1,1] => 4
[3,6,4,8,5,7,1,2] => [2,3,3] => [3,3,2] => 3
[5,1,4,8,6,3,7,2] => [2,2,3,1] => [3,2,2,1] => 4
[3,4,7,1,8,6,5,2] => [4,2,1,1] => [4,2,1,1] => 4
[6,3,8,4,2,7,1,5] => [1,3,1,3] => [3,3,1,1] => 4
[3,6,8,7,1,4,2,5] => [3,3,2] => [3,3,2] => 3
[5,3,7,1,6,8,2,4] => [1,3,4] => [4,3,1] => 3
[4,3,8,5,6,7,2,1] => [1,2,4,1] => [4,2,1,1] => 4
[5,8,1,7,6,2,4,3] => [3,1,3,1] => [3,3,1,1] => 4
[4,6,1,2,7,8,5,3] => [4,3,1] => [4,3,1] => 3
[3,6,4,2,8,7,5,1] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[6,3,7,5,2,8,1,4] => [1,2,2,3] => [3,2,2,1] => 4
[6,5,2,7,4,8,1,3] => [1,2,2,3] => [3,2,2,1] => 4
[5,7,1,4,8,3,2,6] => [4,2,2] => [4,2,2] => 3
[7,8,3,5,1,4,6,2] => [3,4,1] => [4,3,1] => 3
[5,8,1,4,6,7,2,3] => [4,4] => [4,4] => 2
[6,5,8,4,3,7,2,1] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[6,3,7,4,2,8,5,1] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[8,7,1,6,2,4,5,3] => [1,2,4,1] => [4,2,1,1] => 4
[3,8,6,7,1,4,5,2] => [2,5,1] => [5,2,1] => 3
[5,3,8,7,4,1,2,6] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,8,7,1,5,6,2] => [1,2,4,1] => [4,2,1,1] => 4
[8,3,6,1,2,5,7,4] => [1,6,1] => [6,1,1] => 3
[5,6,1,8,7,3,2,4] => [3,1,2,2] => [3,2,2,1] => 4
[5,4,2,7,3,6,8,1] => [1,2,3,2] => [3,2,2,1] => 4
[7,5,3,6,4,2,8,1] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[6,4,1,5,3,8,2,7] => [1,2,2,3] => [3,2,2,1] => 4
[8,5,2,6,4,7,3,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,2,6,3,4,7,5,1] => [2,3,2,1] => [3,2,2,1] => 4
[7,2,6,3,5,4,8,1] => [2,3,1,2] => [3,2,2,1] => 4
[6,2,7,4,3,5,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[5,7,3,6,4,2,8,1] => [3,2,1,2] => [3,2,2,1] => 4
[3,7,6,4,5,2,8,1] => [2,3,1,2] => [3,2,2,1] => 4
[2,7,6,5,3,4,8,1] => [2,1,3,2] => [3,2,2,1] => 4
[6,5,4,3,1,8,2,7] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[8,6,5,4,2,7,3,1] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[8,5,4,1,7,2,6,3] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[7,5,4,1,8,3,2,6] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[1,6,5,2,8,3,4,7] => [1,1,2,4] => [4,2,1,1] => 4
[5,7,4,2,1,8,3,6] => [2,2,1,3] => [3,2,2,1] => 4
[1,6,5,3,4,8,2,7] => [1,1,3,3] => [3,3,1,1] => 4
[5,4,6,3,1,8,2,7] => [1,3,1,3] => [3,3,1,1] => 4
[6,5,8,4,2,7,3,1] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[5,8,2,6,4,7,3,1] => [3,2,2,1] => [3,2,2,1] => 4
[3,8,6,2,5,7,4,1] => [2,3,2,1] => [3,2,2,1] => 4
[7,8,5,3,2,6,4,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[6,8,3,1,7,2,5,4] => [3,1,3,1] => [3,3,1,1] => 4
[1,8,6,3,7,5,2,4] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[8,7,5,2,6,4,3,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[8,7,1,6,2,5,4,3] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[7,8,1,6,3,2,5,4] => [3,2,2,1] => [3,2,2,1] => 4
[2,8,1,7,3,5,6,4] => [3,4,1] => [4,3,1] => 3
[3,8,6,1,7,4,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[4,8,1,3,7,2,6,5] => [4,3,1] => [4,3,1] => 3
[4,2,8,5,7,3,6,1] => [2,1,4,1] => [4,2,1,1] => 4
[5,1,7,6,8,3,2,4] => [2,1,3,2] => [3,2,2,1] => 4
[3,7,1,5,8,4,2,6] => [3,3,2] => [3,3,2] => 3
[6,7,3,1,8,4,2,5] => [3,1,2,2] => [3,2,2,1] => 4
[1,7,3,8,4,5,2,6] => [1,2,3,2] => [3,2,2,1] => 4
[1,7,2,8,5,3,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[7,6,1,8,4,3,2,5] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[8,6,1,7,4,2,5,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,1,2,7,3,4,6,5] => [3,4,1] => [4,3,1] => 3
[7,1,2,8,3,5,4,6] => [3,3,2] => [3,3,2] => 3
[7,2,6,1,8,4,3,5] => [2,2,2,2] => [2,2,2,2] => 4
[8,2,6,1,7,3,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,3,1,4,7,5,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[7,3,1,5,8,4,2,6] => [1,2,3,2] => [3,2,2,1] => 4
[4,2,1,5,8,3,6,7] => [2,1,5] => [5,2,1] => 3
[5,4,2,7,1,8,3,6] => [1,2,2,3] => [3,2,2,1] => 4
[5,4,3,1,6,8,2,7] => [1,2,1,4] => [4,2,1,1] => 4
[4,7,5,6,8,3,2,1] => [2,4,1,1] => [4,2,1,1] => 4
[6,5,4,8,2,7,3,1] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[6,5,2,8,7,3,4,1] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[6,5,1,8,7,4,2,3] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[8,6,4,7,5,3,2,1] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 6
[5,1,8,3,7,6,2,4] => [2,2,2,2] => [2,2,2,2] => 4
[5,4,8,1,7,2,6,3] => [1,3,3,1] => [3,3,1,1] => 4
[7,5,8,3,2,6,4,1] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[3,6,8,2,4,7,5,1] => [5,2,1] => [5,2,1] => 3
[5,7,3,8,2,6,4,1] => [3,3,1,1] => [3,3,1,1] => 4
[5,4,6,8,2,7,3,1] => [1,4,2,1] => [4,2,1,1] => 4
[5,2,6,8,7,3,4,1] => [2,2,3,1] => [3,2,2,1] => 4
[4,7,2,8,6,3,5,1] => [3,1,3,1] => [3,3,1,1] => 4
[3,6,8,1,7,2,5,4] => [4,3,1] => [4,3,1] => 3
[2,3,8,7,4,5,6,1] => [3,4,1] => [4,3,1] => 3
[7,2,8,6,4,3,5,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,1,8,7,5,6,3,4] => [2,1,3,2] => [3,2,2,1] => 4
[8,2,7,6,3,5,4,1] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[8,1,7,6,5,2,4,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[7,1,8,6,5,3,2,4] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[1,2,8,7,6,3,4,5] => [2,1,1,4] => [4,2,1,1] => 4
[1,3,8,7,4,6,2,5] => [1,2,3,2] => [3,2,2,1] => 4
[1,5,8,3,7,6,2,4] => [1,3,2,2] => [3,2,2,1] => 4
[5,1,6,8,7,4,2,3] => [2,2,2,2] => [2,2,2,2] => 4
[6,8,4,7,5,3,2,1] => [2,3,1,1,1] => [3,2,1,1,1] => 5
[6,8,7,2,5,4,3,1] => [2,3,1,1,1] => [3,2,1,1,1] => 5
[3,8,7,6,4,5,2,1] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[2,8,7,6,5,3,4,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[1,8,7,6,5,4,2,3] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 6
[5,8,6,7,3,4,1,2] => [2,4,2] => [4,2,2] => 3
[4,8,6,7,3,5,1,2] => [2,4,2] => [4,2,2] => 3
[3,8,6,7,4,5,1,2] => [2,4,2] => [4,2,2] => 3
[2,8,6,7,4,5,1,3] => [2,4,2] => [4,2,2] => 3
[1,8,6,7,4,5,2,3] => [1,1,4,2] => [4,2,1,1] => 4
[1,8,5,7,4,6,2,3] => [1,1,4,2] => [4,2,1,1] => 4
[3,8,5,7,4,6,1,2] => [2,4,2] => [4,2,2] => 3
[4,8,5,7,3,6,1,2] => [2,4,2] => [4,2,2] => 3
[7,8,3,6,4,5,1,2] => [3,3,2] => [3,3,2] => 3
[6,8,3,7,4,5,1,2] => [3,3,2] => [3,3,2] => 3
[5,8,3,7,4,6,1,2] => [3,3,2] => [3,3,2] => 3
[3,7,4,8,5,6,1,2] => [2,4,2] => [4,2,2] => 3
[4,7,3,8,5,6,1,2] => [3,3,2] => [3,3,2] => 3
[4,7,2,8,5,6,1,3] => [3,3,2] => [3,3,2] => 3
[4,7,1,8,5,6,2,3] => [3,3,2] => [3,3,2] => 3
[3,7,1,8,5,6,2,4] => [3,3,2] => [3,3,2] => 3
[3,7,2,8,5,6,1,4] => [3,3,2] => [3,3,2] => 3
[2,7,3,8,5,6,1,4] => [3,3,2] => [3,3,2] => 3
[2,7,4,8,5,6,1,3] => [2,4,2] => [4,2,2] => 3
[5,8,2,7,4,6,1,3] => [3,3,2] => [3,3,2] => 3
[6,8,2,7,4,5,1,3] => [3,3,2] => [3,3,2] => 3
[7,8,2,6,4,5,1,3] => [3,3,2] => [3,3,2] => 3
[7,8,1,6,4,5,2,3] => [3,3,2] => [3,3,2] => 3
[6,8,1,7,4,5,2,3] => [3,3,2] => [3,3,2] => 3
[5,8,1,7,4,6,2,3] => [3,3,2] => [3,3,2] => 3
[1,7,4,8,5,6,2,3] => [1,1,4,2] => [4,2,1,1] => 4
[1,7,3,8,5,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[2,8,5,6,1,7,3,4] => [2,3,3] => [3,3,2] => 3
[1,8,5,6,2,7,3,4] => [1,1,3,3] => [3,3,1,1] => 4
[1,7,3,8,4,6,2,5] => [1,2,3,2] => [3,2,2,1] => 4
[4,8,1,7,3,6,2,5] => [3,3,2] => [3,3,2] => 3
[5,8,1,7,3,6,2,4] => [3,3,2] => [3,3,2] => 3
[6,8,1,7,3,5,2,4] => [3,3,2] => [3,3,2] => 3
[7,8,2,6,3,5,1,4] => [3,3,2] => [3,3,2] => 3
[6,8,2,7,3,5,1,4] => [3,3,2] => [3,3,2] => 3
[5,8,2,7,3,6,1,4] => [3,3,2] => [3,3,2] => 3
[4,8,2,7,3,6,1,5] => [3,3,2] => [3,3,2] => 3
[2,7,3,8,4,6,1,5] => [3,3,2] => [3,3,2] => 3
[3,7,2,8,4,6,1,5] => [3,3,2] => [3,3,2] => 3
[3,7,1,8,4,6,2,5] => [3,3,2] => [3,3,2] => 3
[1,8,4,7,3,6,2,5] => [1,1,4,2] => [4,2,1,1] => 4
[2,8,4,7,3,6,1,5] => [2,4,2] => [4,2,2] => 3
[3,8,4,7,2,6,1,5] => [2,4,2] => [4,2,2] => 3
[4,8,5,7,2,6,1,3] => [2,4,2] => [4,2,2] => 3
[3,8,5,7,2,6,1,4] => [2,4,2] => [4,2,2] => 3
[2,8,5,7,3,6,1,4] => [2,4,2] => [4,2,2] => 3
[1,8,5,7,3,6,2,4] => [1,1,4,2] => [4,2,1,1] => 4
[1,8,6,7,3,5,2,4] => [1,1,4,2] => [4,2,1,1] => 4
[2,8,6,7,3,5,1,4] => [2,4,2] => [4,2,2] => 3
[3,8,6,7,2,5,1,4] => [2,4,2] => [4,2,2] => 3
[4,8,6,7,2,5,1,3] => [2,4,2] => [4,2,2] => 3
[5,8,6,7,2,4,1,3] => [2,4,2] => [4,2,2] => 3
[6,8,5,7,1,4,2,3] => [2,4,2] => [4,2,2] => 3
[5,8,6,7,1,4,2,3] => [2,4,2] => [4,2,2] => 3
[4,8,6,7,1,5,2,3] => [2,4,2] => [4,2,2] => 3
[3,8,6,7,1,5,2,4] => [2,4,2] => [4,2,2] => 3
[1,5,2,8,6,7,3,4] => [1,2,1,4] => [4,2,1,1] => 4
[2,5,1,8,6,7,3,4] => [3,1,4] => [4,3,1] => 3
[2,6,1,8,5,7,3,4] => [3,2,3] => [3,3,2] => 3
[1,6,2,8,5,7,3,4] => [1,2,2,3] => [3,2,2,1] => 4
[3,8,5,7,1,6,2,4] => [2,4,2] => [4,2,2] => 3
[6,8,4,7,1,5,2,3] => [2,4,2] => [4,2,2] => 3
[7,8,4,6,1,5,2,3] => [2,4,2] => [4,2,2] => 3
[7,8,3,6,1,5,2,4] => [3,3,2] => [3,3,2] => 3
[6,8,3,7,1,5,2,4] => [3,3,2] => [3,3,2] => 3
[4,8,3,7,1,6,2,5] => [3,3,2] => [3,3,2] => 3
[3,8,4,7,1,6,2,5] => [2,4,2] => [4,2,2] => 3
[1,6,2,8,4,7,3,5] => [1,2,2,3] => [3,2,2,1] => 4
[2,6,1,8,4,7,3,5] => [3,2,3] => [3,3,2] => 3
[3,7,2,6,1,8,4,5] => [3,2,3] => [3,3,2] => 3
[3,7,1,6,2,8,4,5] => [3,2,3] => [3,3,2] => 3
[4,8,1,6,2,7,3,5] => [3,2,3] => [3,3,2] => 3
[5,8,1,6,2,7,3,4] => [3,2,3] => [3,3,2] => 3
[7,8,1,5,2,6,3,4] => [3,3,2] => [3,3,2] => 3
[7,8,2,5,1,6,3,4] => [3,3,2] => [3,3,2] => 3
[6,8,2,5,1,7,3,4] => [3,2,3] => [3,3,2] => 3
[5,8,2,6,1,7,3,4] => [3,2,3] => [3,3,2] => 3
[4,8,2,6,1,7,3,5] => [3,2,3] => [3,3,2] => 3
[1,7,3,6,2,8,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[2,7,3,6,1,8,4,5] => [3,2,3] => [3,3,2] => 3
[1,2,3,4,5,6,7,8,9] => [9] => [9] => 1
[1,2,3,4,5,6,8,9,7] => [6,3] => [6,3] => 2
[1,2,3,4,5,7,8,9,6] => [5,4] => [5,4] => 2
[1,2,3,4,6,7,8,9,5] => [4,5] => [5,4] => 2
[1,2,3,5,6,7,8,9,4] => [3,6] => [6,3] => 2
[1,2,4,5,6,7,8,9,3] => [2,7] => [7,2] => 2
[1,3,4,5,6,7,8,9,2] => [1,8] => [8,1] => 2
[1,2,3,4,5,6,7,8,9,10] => [10] => [10] => 1
[1,2,3,4,5,6,9,8,7] => [6,2,1] => [6,2,1] => 3
[1,2,3,4,5,6,7,9,10,8] => [7,3] => [7,3] => 2
[1,2,3,4,5,8,7,9,6] => [5,2,2] => [5,2,2] => 3
[1,2,3,4,5,6,8,9,10,7] => [6,4] => [6,4] => 2
[1,2,3,4,7,6,8,9,5] => [4,2,3] => [4,3,2] => 3
[1,2,3,4,5,7,8,9,10,6] => [5,5] => [5,5] => 2
[1,2,3,6,5,7,8,9,4] => [3,2,4] => [4,3,2] => 3
[1,2,3,4,6,7,8,9,10,5] => [4,6] => [6,4] => 2
[1,2,5,4,6,7,8,9,3] => [2,2,5] => [5,2,2] => 3
[1,2,3,5,6,7,8,9,10,4] => [3,7] => [7,3] => 2
[1,4,3,5,6,7,8,9,2] => [1,2,6] => [6,2,1] => 3
[1,2,4,5,6,7,8,9,10,3] => [2,8] => [8,2] => 2
[3,2,4,5,6,7,8,9,1] => [2,7] => [7,2] => 2
[1,3,4,5,6,7,8,9,10,2] => [1,9] => [9,1] => 2
[6,7,4,8,3,5,1,2] => [2,4,2] => [4,2,2] => 3
[6,7,4,5,2,8,1,3] => [2,3,3] => [3,3,2] => 3
[5,7,4,6,2,3,1,8] => [2,4,2] => [4,2,2] => 3
[5,7,4,6,3,8,1,2] => [2,3,3] => [3,3,2] => 3
[5,7,4,8,3,6,1,2] => [2,4,2] => [4,2,2] => 3
[6,8,4,5,3,7,1,2] => [2,3,3] => [3,3,2] => 3
[5,8,4,6,3,7,1,2] => [2,3,3] => [3,3,2] => 3
[5,6,4,8,3,7,1,2] => [2,3,3] => [3,3,2] => 3
[5,6,3,7,2,4,1,8] => [3,3,2] => [3,3,2] => 3
[5,6,3,7,2,8,1,4] => [3,2,3] => [3,3,2] => 3
[5,6,3,8,2,7,1,4] => [3,2,3] => [3,3,2] => 3
[5,6,4,8,2,7,1,3] => [2,3,3] => [3,3,2] => 3
[5,8,4,6,2,7,1,3] => [2,3,3] => [3,3,2] => 3
[6,8,4,5,2,7,1,3] => [2,3,3] => [3,3,2] => 3
[7,8,4,5,2,6,1,3] => [2,4,2] => [4,2,2] => 3
[6,8,4,5,2,3,1,7] => [2,4,2] => [4,2,2] => 3
[5,8,4,6,2,3,1,7] => [2,4,2] => [4,2,2] => 3
[5,6,4,8,2,3,1,7] => [2,4,2] => [4,2,2] => 3
[5,6,3,8,2,4,1,7] => [3,3,2] => [3,3,2] => 3
[5,6,3,4,2,8,1,7] => [4,1,3] => [4,3,1] => 3
[4,6,3,5,2,7,1,8] => [3,2,3] => [3,3,2] => 3
[4,6,3,5,2,8,1,7] => [3,2,3] => [3,3,2] => 3
[4,6,3,8,2,5,1,7] => [3,3,2] => [3,3,2] => 3
[4,8,3,6,2,5,1,7] => [3,3,2] => [3,3,2] => 3
[5,8,3,6,2,4,1,7] => [3,3,2] => [3,3,2] => 3
[6,8,3,5,2,4,1,7] => [3,3,2] => [3,3,2] => 3
[7,8,3,5,2,4,1,6] => [3,3,2] => [3,3,2] => 3
[7,8,3,5,2,6,1,4] => [3,3,2] => [3,3,2] => 3
[5,8,3,6,2,7,1,4] => [3,2,3] => [3,3,2] => 3
[4,8,3,6,2,7,1,5] => [3,2,3] => [3,3,2] => 3
[4,6,3,8,2,7,1,5] => [3,2,3] => [3,3,2] => 3
[4,6,3,7,2,8,1,5] => [3,2,3] => [3,3,2] => 3
[4,7,3,6,2,5,1,8] => [3,3,2] => [3,3,2] => 3
[4,7,3,6,2,8,1,5] => [3,2,3] => [3,3,2] => 3
[4,7,3,8,2,6,1,5] => [3,3,2] => [3,3,2] => 3
[5,7,4,8,2,6,1,3] => [2,4,2] => [4,2,2] => 3
[5,7,3,6,2,8,1,4] => [3,2,3] => [3,3,2] => 3
[5,7,3,6,2,4,1,8] => [3,3,2] => [3,3,2] => 3
[6,7,3,5,2,4,1,8] => [3,3,2] => [3,3,2] => 3
[6,7,3,5,2,8,1,4] => [3,2,3] => [3,3,2] => 3
[6,7,4,8,2,5,1,3] => [2,4,2] => [4,2,2] => 3
[6,7,5,8,2,4,1,3] => [2,4,2] => [4,2,2] => 3
[6,8,5,7,2,3,1,4] => [2,4,2] => [4,2,2] => 3
[6,7,4,8,2,3,1,5] => [2,4,2] => [4,2,2] => 3
[6,7,3,8,2,4,1,5] => [3,3,2] => [3,3,2] => 3
[6,7,3,4,2,8,1,5] => [4,1,3] => [4,3,1] => 3
[5,7,3,4,2,6,1,8] => [4,2,2] => [4,2,2] => 3
[5,7,3,4,2,8,1,6] => [4,1,3] => [4,3,1] => 3
[5,7,4,8,2,3,1,6] => [2,4,2] => [4,2,2] => 3
[5,8,4,7,2,3,1,6] => [2,4,2] => [4,2,2] => 3
[6,8,4,7,2,3,1,5] => [2,4,2] => [4,2,2] => 3
[7,8,4,6,2,3,1,5] => [2,4,2] => [4,2,2] => 3
[7,8,3,6,2,4,1,5] => [3,3,2] => [3,3,2] => 3
[6,8,3,7,2,4,1,5] => [3,3,2] => [3,3,2] => 3
[5,8,3,7,2,4,1,6] => [3,3,2] => [3,3,2] => 3
[4,8,3,7,2,5,1,6] => [3,3,2] => [3,3,2] => 3
[4,7,3,8,2,5,1,6] => [3,3,2] => [3,3,2] => 3
[4,7,3,5,2,8,1,6] => [3,2,3] => [3,3,2] => 3
[4,7,3,5,2,6,1,8] => [3,3,2] => [3,3,2] => 3
[4,5,3,7,2,6,1,8] => [3,3,2] => [3,3,2] => 3
[4,5,3,7,2,8,1,6] => [3,2,3] => [3,3,2] => 3
[4,5,3,8,2,7,1,6] => [3,2,3] => [3,3,2] => 3
[4,8,3,5,2,7,1,6] => [3,2,3] => [3,3,2] => 3
[5,8,3,4,2,7,1,6] => [4,1,3] => [4,3,1] => 3
[6,8,3,4,2,7,1,5] => [4,1,3] => [4,3,1] => 3
[7,8,3,4,2,6,1,5] => [4,2,2] => [4,2,2] => 3
[6,8,3,4,2,5,1,7] => [4,2,2] => [4,2,2] => 3
[5,8,3,4,2,6,1,7] => [4,2,2] => [4,2,2] => 3
[4,8,3,5,2,6,1,7] => [3,3,2] => [3,3,2] => 3
[4,5,3,8,2,6,1,7] => [3,3,2] => [3,3,2] => 3
[4,5,3,6,2,8,1,7] => [3,2,3] => [3,3,2] => 3
[4,7,5,2,1,8,3,6] => [2,2,1,3] => [3,2,2,1] => 4
[4,8,5,2,1,7,6,3] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[4,6,5,2,1,3,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[5,6,4,2,3,1,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[6,4,5,3,1,2,8,7] => [1,3,2,2] => [3,2,2,1] => 4
[5,4,6,1,3,2,8,7] => [1,4,1,2] => [4,2,1,1] => 4
[4,6,8,1,7,3,2,5] => [4,2,2] => [4,2,2] => 3
[4,7,8,1,6,3,5,2] => [4,3,1] => [4,3,1] => 3
[7,4,8,1,6,5,3,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[5,4,8,1,3,7,6,2] => [1,4,2,1] => [4,2,1,1] => 4
[8,4,5,3,1,7,6,2] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[5,4,7,1,3,8,2,6] => [1,4,3] => [4,3,1] => 3
[6,4,8,1,7,5,2,3] => [1,3,2,2] => [3,2,2,1] => 4
[5,6,8,7,2,1,3,4] => [3,2,3] => [3,3,2] => 3
[8,5,7,6,4,2,1,3] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[8,4,6,3,7,2,1,5] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,2,8,7,4,1,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[2,1,6,8,7,4,3,5] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,7,8,6,4,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[7,3,2,8,6,4,5,1] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[7,6,8,5,2,4,3,1] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[5,7,8,6,2,3,1,4] => [3,3,2] => [3,3,2] => 3
[5,8,7,6,3,2,1,4] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[6,8,7,5,3,2,4,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[5,8,4,2,3,7,6,1] => [2,3,2,1] => [3,2,2,1] => 4
[7,8,4,2,6,5,3,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[4,8,7,2,6,3,5,1] => [2,2,3,1] => [3,2,2,1] => 4
[4,8,6,2,7,3,1,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,6,1,8,7,4,2,5] => [3,1,2,2] => [3,2,2,1] => 4
[3,7,1,8,6,4,5,2] => [3,1,3,1] => [3,3,1,1] => 4
[3,8,1,6,7,5,2,4] => [3,3,2] => [3,3,2] => 3
[3,7,1,6,8,2,5,4] => [3,4,1] => [4,3,1] => 3
[4,7,6,2,8,1,3,5] => [2,2,4] => [4,2,2] => 3
[6,7,4,2,8,1,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[6,8,4,2,7,5,1,3] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,8,6,7,5,3,4] => [2,1,3,2] => [3,2,2,1] => 4
[8,3,2,6,7,5,1,4] => [1,2,3,2] => [3,2,2,1] => 4
[8,6,4,3,7,5,1,2] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[5,8,6,7,3,1,2,4] => [2,3,3] => [3,3,2] => 3
[6,7,5,8,1,3,4,2] => [2,5,1] => [5,2,1] => 3
[7,6,5,8,1,4,3,2] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[8,6,5,7,4,1,3,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[7,6,4,3,8,1,5,2] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[7,3,2,6,8,1,5,4] => [1,2,4,1] => [4,2,1,1] => 4
[2,1,7,6,8,3,5,4] => [2,1,4,1] => [4,2,1,1] => 4
[7,5,6,8,1,4,2,3] => [1,5,2] => [5,2,1] => 3
[6,5,7,8,1,2,4,3] => [1,6,1] => [6,1,1] => 3
[8,1,3,7,4,6,5,2] => [3,3,1,1] => [3,3,1,1] => 4
[5,2,8,7,4,6,1,3] => [2,1,3,2] => [3,2,2,1] => 4
[1,6,2,5,4,7,3,8] => [1,2,2,3] => [3,2,2,1] => 4
[6,2,7,5,4,8,3,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[8,1,3,5,4,7,6,2] => [3,2,2,1] => [3,2,2,1] => 4
[6,1,5,4,3,8,7,2] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[6,1,8,3,4,5,7,2] => [2,5,1] => [5,2,1] => 3
[7,1,5,3,4,8,6,2] => [2,3,2,1] => [3,2,2,1] => 4
[7,1,4,3,5,6,8,2] => [2,4,2] => [4,2,2] => 3
[8,1,3,4,5,6,7,2] => [7,1] => [7,1] => 2
[1,7,2,4,5,6,3,8] => [1,5,2] => [5,2,1] => 3
[6,3,2,7,5,1,8,4] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[8,4,7,2,5,6,1,3] => [1,5,2] => [5,2,1] => 3
[6,5,8,2,4,7,3,1] => [1,4,2,1] => [4,2,1,1] => 4
[8,5,2,1,4,3,7,6] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,5,2,8,4,1,3,7] => [1,2,2,3] => [3,2,2,1] => 4
[5,6,2,1,4,8,3,7] => [3,2,3] => [3,3,2] => 3
[3,6,1,8,5,2,4,7] => [3,2,3] => [3,3,2] => 3
[1,2,6,3,5,4,7,8] => [2,3,3] => [3,3,2] => 3
[3,4,1,2,8,6,5,7] => [4,2,2] => [4,2,2] => 3
[4,3,1,2,6,8,5,7] => [1,3,4] => [4,3,1] => 3
[5,8,1,6,3,2,4,7] => [3,2,3] => [3,3,2] => 3
[6,3,8,5,2,1,4,7] => [1,2,2,3] => [3,2,2,1] => 4
[8,3,1,5,2,4,7,6] => [1,2,4,1] => [4,2,1,1] => 4
[3,8,2,6,1,5,7,4] => [3,4,1] => [4,3,1] => 3
[3,8,6,7,2,1,5,4] => [2,3,2,1] => [3,2,2,1] => 4
[8,5,6,4,2,1,7,3] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[7,2,5,8,3,1,6,4] => [2,3,2,1] => [3,2,2,1] => 4
[1,7,5,6,3,2,4,8] => [1,1,3,3] => [3,3,1,1] => 4
[6,1,2,3,8,5,7,4] => [4,3,1] => [4,3,1] => 3
[7,1,2,3,6,5,8,4] => [4,2,2] => [4,2,2] => 3
[7,2,1,3,8,6,4,5] => [2,2,2,2] => [2,2,2,2] => 4
[1,5,7,3,2,4,6,8] => [1,3,4] => [4,3,1] => 3
[5,2,7,3,1,8,4,6] => [2,2,1,3] => [3,2,2,1] => 4
[5,8,2,4,1,3,7,6] => [4,3,1] => [4,3,1] => 3
[8,7,2,6,3,4,1,5] => [1,2,3,2] => [3,2,2,1] => 4
[4,8,1,6,3,2,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[3,1,8,6,4,2,7,5] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[8,1,6,7,4,3,2,5] => [2,3,1,2] => [3,2,2,1] => 4
[3,5,8,7,2,4,1,6] => [3,3,2] => [3,3,2] => 3
[4,2,1,3,7,8,5,6] => [2,2,4] => [4,2,2] => 3
[2,4,1,3,8,7,5,6] => [4,1,3] => [4,3,1] => 3
[2,5,8,3,1,7,4,6] => [4,1,3] => [4,3,1] => 3
[8,6,1,3,7,2,4,5] => [1,3,4] => [4,3,1] => 3
[2,8,1,3,6,4,7,5] => [4,3,1] => [4,3,1] => 3
[6,8,2,3,4,1,5,7] => [5,3] => [5,3] => 2
[5,1,8,3,2,4,6,7] => [2,2,4] => [4,2,2] => 3
[9,8,7,6,5,4,3,2,1] => [1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1] => 8
[8,9,7,6,5,4,3,2,1] => [2,1,2,1,1,1,1] => [2,2,1,1,1,1,1] => 7
[8,7,9,6,5,4,3,2,1] => [1,2,2,1,1,1,1] => [2,2,1,1,1,1,1] => 7
[8,7,6,9,5,4,3,2,1] => [1,1,3,1,1,1,1] => [3,1,1,1,1,1,1] => 7
[8,7,6,5,9,4,3,2,1] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 7
[8,7,6,5,4,9,3,2,1] => [1,1,1,2,2,1,1] => [2,2,1,1,1,1,1] => 7
[8,7,6,5,4,3,9,2,1] => [1,1,1,2,1,2,1] => [2,2,1,1,1,1,1] => 7
[8,7,6,5,4,3,2,9,1] => [1,1,1,2,1,1,2] => [2,2,1,1,1,1,1] => 7
[8,7,6,5,4,3,2,1,9] => [1,1,1,2,1,1,2] => [2,2,1,1,1,1,1] => 7
[9,10,8,7,6,5,4,3,2,1] => [2,1,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 8
[7,8,9,6,5,4,3,2,1] => [3,2,1,1,1,1] => [3,2,1,1,1,1] => 6
[9,8,10,7,6,5,4,3,2,1] => [1,2,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 8
[8,6,7,9,5,4,3,2,1] => [1,4,1,1,1,1] => [4,1,1,1,1,1] => 6
[9,8,7,10,6,5,4,3,2,1] => [1,1,2,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 8
[8,7,5,6,9,4,3,2,1] => [1,1,4,1,1,1] => [4,1,1,1,1,1] => 6
[9,8,7,6,10,5,4,3,2,1] => [1,1,1,3,1,1,1,1] => [3,1,1,1,1,1,1,1] => 8
[8,7,6,4,5,9,3,2,1] => [1,1,3,2,1,1] => [3,2,1,1,1,1] => 6
[9,8,7,6,5,10,4,3,2,1] => [1,1,1,2,2,1,1,1] => [2,2,1,1,1,1,1,1] => 8
[8,7,6,5,3,4,9,2,1] => [1,1,1,3,2,1] => [3,2,1,1,1,1] => 6
[9,8,7,6,5,4,10,3,2,1] => [1,1,1,2,1,2,1,1] => [2,2,1,1,1,1,1,1] => 8
[8,7,6,5,4,2,3,9,1] => [1,1,1,2,2,2] => [2,2,2,1,1,1] => 6
[9,8,7,6,5,4,3,10,2,1] => [1,1,1,2,1,1,2,1] => [2,2,1,1,1,1,1,1] => 8
[8,7,6,5,4,3,1,2,9] => [1,1,1,2,1,3] => [3,2,1,1,1,1] => 6
[9,8,7,6,5,4,3,2,10,1] => [1,1,1,2,1,1,1,2] => [2,2,1,1,1,1,1,1] => 8
[9,8,7,6,5,4,3,2,1,10] => [1,1,1,2,1,1,1,2] => [2,2,1,1,1,1,1,1] => 8
[1,4,2,7,8,6,3,5] => [1,2,3,2] => [3,2,2,1] => 4
[1,6,2,4,8,5,3,7] => [1,3,2,2] => [3,2,2,1] => 4
[1,6,2,4,7,5,3,8] => [1,3,2,2] => [3,2,2,1] => 4
[1,7,3,8,5,2,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[1,7,3,2,8,6,4,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,2,5,7,8,6,1,3] => [2,4,2] => [4,2,2] => 3
[7,2,3,1,8,5,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[8,2,5,1,7,3,4,6] => [2,2,4] => [4,2,2] => 3
[6,2,1,8,3,4,7,5] => [2,1,4,1] => [4,2,1,1] => 4
[6,2,8,3,5,1,7,4] => [2,3,2,1] => [3,2,2,1] => 4
[6,2,4,8,5,7,1,3] => [2,3,3] => [3,3,2] => 3
[1,3,6,4,8,5,7,2] => [1,3,3,1] => [3,3,1,1] => 4
[1,3,6,4,7,5,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[6,2,4,7,5,8,1,3] => [2,3,3] => [3,3,2] => 3
[6,2,1,3,7,8,4,5] => [2,2,4] => [4,2,2] => 3
[7,8,2,1,4,3,5,6] => [3,2,3] => [3,3,2] => 3
[7,6,4,2,3,1,8,5] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[5,7,2,3,1,6,8,4] => [4,2,2] => [4,2,2] => 3
[7,5,4,2,6,8,1,3] => [1,1,2,4] => [4,2,1,1] => 4
[1,7,5,3,4,6,8,2] => [1,1,4,2] => [4,2,1,1] => 4
[8,2,5,4,6,7,1,3] => [2,2,4] => [4,2,2] => 3
[5,2,6,3,1,8,7,4] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[8,2,6,4,3,1,7,5] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[8,2,7,4,1,3,5,6] => [2,2,4] => [4,2,2] => 3
[1,2,8,4,3,5,6,7] => [2,2,4] => [4,2,2] => 3
[1,7,4,2,3,5,6,8] => [1,1,6] => [6,1,1] => 3
[6,8,4,1,3,2,5,7] => [2,3,3] => [3,3,2] => 3
[1,8,7,4,3,2,5,6] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[1,6,3,8,2,4,7,5] => [1,2,4,1] => [4,2,1,1] => 4
[5,3,8,1,2,7,4,6] => [1,4,3] => [4,3,1] => 3
[5,1,8,3,2,6,4,7] => [2,2,2,2] => [2,2,2,2] => 4
[5,7,3,1,2,6,4,8] => [3,3,2] => [3,3,2] => 3
[1,7,5,4,2,6,3,8] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[1,5,8,2,4,6,3,7] => [1,5,2] => [5,2,1] => 3
[1,5,8,4,2,7,3,6] => [1,3,1,3] => [3,3,1,1] => 4
[1,4,6,2,8,3,7,5] => [1,3,3,1] => [3,3,1,1] => 4
[5,3,1,6,7,2,4,8] => [1,2,5] => [5,2,1] => 3
[5,3,6,1,2,8,4,7] => [1,4,3] => [4,3,1] => 3
[1,6,3,2,7,8,4,5] => [1,2,1,4] => [4,2,1,1] => 4
[1,7,4,5,3,8,6,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[6,3,4,1,2,5,8,7] => [1,5,2] => [5,2,1] => 3
[6,3,1,4,2,7,5,8] => [1,3,1,3] => [3,3,1,1] => 4
[1,8,3,2,4,5,6,7] => [1,2,5] => [5,2,1] => 3
[8,6,3,2,4,1,7,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,5,3,2,6,7,1,4] => [1,2,1,4] => [4,2,1,1] => 4
[4,5,2,6,8,1,7,3] => [3,4,1] => [4,3,1] => 3
[4,2,5,6,7,8,1,3] => [2,6] => [6,2] => 2
[5,2,3,6,7,1,8,4] => [3,3,2] => [3,3,2] => 3
[6,2,3,4,1,7,8,5] => [4,1,3] => [4,3,1] => 3
[7,2,3,1,4,5,8,6] => [3,3,2] => [3,3,2] => 3
[8,6,1,4,3,2,5,7] => [1,3,1,3] => [3,3,1,1] => 4
[8,3,1,6,5,2,4,7] => [1,2,2,3] => [3,2,2,1] => 4
[3,7,5,1,8,2,4,6] => [2,2,4] => [4,2,2] => 3
[4,1,5,2,8,7,3,6] => [2,2,1,3] => [3,2,2,1] => 4
[8,1,2,4,6,5,3,7] => [4,2,2] => [4,2,2] => 3
[8,1,2,5,4,6,3,7] => [3,3,2] => [3,3,2] => 3
[8,2,6,5,1,3,4,7] => [2,1,5] => [5,2,1] => 3
[8,3,1,6,2,5,4,7] => [1,2,3,2] => [3,2,2,1] => 4
[8,1,2,6,4,5,3,7] => [3,3,2] => [3,3,2] => 3
[8,1,2,5,6,4,3,7] => [3,3,2] => [3,3,2] => 3
[8,1,2,6,5,4,3,7] => [3,2,1,2] => [3,2,2,1] => 4
[1,7,5,4,2,8,3,6] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[5,1,4,8,2,7,3,6] => [2,3,3] => [3,3,2] => 3
[1,4,6,8,2,7,3,5] => [1,4,3] => [4,3,1] => 3
[1,4,7,6,2,8,3,5] => [1,2,2,3] => [3,2,2,1] => 4
[5,1,4,7,2,8,3,6] => [2,3,3] => [3,3,2] => 3
[1,7,4,5,2,8,3,6] => [1,1,3,3] => [3,3,1,1] => 4
[3,7,5,1,2,8,4,6] => [2,3,3] => [3,3,2] => 3
[5,7,2,8,1,3,4,6] => [3,5] => [5,3] => 2
[5,2,8,7,1,3,4,6] => [2,1,5] => [5,2,1] => 3
[4,1,5,8,2,7,3,6] => [2,3,3] => [3,3,2] => 3
[1,4,6,2,8,7,3,5] => [1,3,1,3] => [3,3,1,1] => 4
[1,4,2,8,6,7,3,5] => [1,2,1,4] => [4,2,1,1] => 4
[3,1,2,6,4,8,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[2,1,7,6,3,4,8,5] => [2,1,3,2] => [3,2,2,1] => 4
[3,1,2,7,4,6,8,5] => [3,3,2] => [3,3,2] => 3
[1,4,7,2,6,8,3,5] => [1,3,4] => [4,3,1] => 3
[1,2,3,6,8,5,7,4] => [3,4,1] => [4,3,1] => 3
[5,1,4,2,7,8,3,6] => [2,2,4] => [4,2,2] => 3
[1,4,2,7,6,8,3,5] => [1,2,1,4] => [4,2,1,1] => 4
[1,4,2,6,8,7,3,5] => [1,2,2,3] => [3,2,2,1] => 4
[3,1,2,8,4,6,7,5] => [3,4,1] => [4,3,1] => 3
[3,1,2,7,6,4,8,5] => [3,1,2,2] => [3,2,2,1] => 4
[5,3,7,1,8,2,4,6] => [1,3,4] => [4,3,1] => 3
[1,7,4,3,2,5,8,6] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[4,8,7,2,1,3,5,6] => [2,2,4] => [4,2,2] => 3
[1,8,7,3,4,2,5,6] => [1,1,3,3] => [3,3,1,1] => 4
[3,1,7,8,2,6,4,5] => [2,4,2] => [4,2,2] => 3
[1,4,2,7,8,3,6,5] => [1,2,4,1] => [4,2,1,1] => 4
[5,2,8,1,3,4,7,6] => [2,5,1] => [5,2,1] => 3
[2,1,8,6,3,4,7,5] => [2,1,4,1] => [4,2,1,1] => 4
[1,4,2,6,8,3,7,5] => [1,2,4,1] => [4,2,1,1] => 4
[1,2,3,7,8,5,6,4] => [3,4,1] => [4,3,1] => 3
[1,2,3,7,5,8,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[1,4,2,7,3,8,6,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[3,1,7,2,8,6,4,5] => [2,2,2,2] => [2,2,2,2] => 4
[2,1,7,8,3,4,6,5] => [2,5,1] => [5,2,1] => 3
[1,2,3,8,7,5,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[10,1,2,3,4,5,6,7,8,9] => [10] => [10] => 1
[10,1,2,3,4,5,6,9,7,8] => [7,3] => [7,3] => 2
[10,1,2,3,4,5,9,6,7,8] => [6,4] => [6,4] => 2
[9,1,2,3,4,10,5,6,7,8] => [5,5] => [5,5] => 2
[10,1,2,3,9,4,5,6,7,8] => [4,6] => [6,4] => 2
[10,1,2,9,3,4,5,6,7,8] => [3,7] => [7,3] => 2
[9,1,10,2,3,4,5,6,7,8] => [2,8] => [8,2] => 2
[10,9,1,2,3,4,5,6,7,8] => [1,9] => [9,1] => 2
[11,1,2,3,4,5,6,7,8,9,10] => [11] => [11] => 1
[10,1,2,3,4,5,6,7,8,11,9] => [9,2] => [9,2] => 2
[8,1,2,3,4,5,6,9,10,7] => [7,3] => [7,3] => 2
[7,1,2,3,4,5,10,9,6,8] => [6,1,3] => [6,3,1] => 3
[6,1,2,3,4,10,9,5,7,8] => [5,1,4] => [5,4,1] => 3
[5,1,2,3,9,10,4,6,7,8] => [4,6] => [6,4] => 2
[4,1,2,10,9,3,5,6,7,8] => [3,1,6] => [6,3,1] => 3
[3,1,10,9,2,4,5,6,7,8] => [2,1,7] => [7,2,1] => 3
[2,9,10,1,3,4,5,6,7,8] => [10] => [10] => 1
[11,1,10,2,3,4,5,6,7,8,9] => [2,9] => [9,2] => 2
[11,10,1,2,3,4,5,6,7,8,9] => [1,10] => [10,1] => 2
[4,7,8,5,6,2,1,3] => [3,3,2] => [3,3,2] => 3
[5,7,8,4,2,6,1,3] => [4,2,2] => [4,2,2] => 3
[6,7,8,4,2,5,1,3] => [4,2,2] => [4,2,2] => 3
[8,6,3,7,2,1,5,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[7,6,3,8,2,1,5,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,7,8,3,2,1,5,4] => [4,1,2,1] => [4,2,1,1] => 4
[5,7,8,3,2,1,6,4] => [4,1,2,1] => [4,2,1,1] => 4
[2,7,8,4,3,5,6,1] => [4,3,1] => [4,3,1] => 3
[3,7,8,4,2,5,1,6] => [4,2,2] => [4,2,2] => 3
[4,7,8,3,2,1,5,6] => [4,1,3] => [4,3,1] => 3
[5,7,8,3,2,1,4,6] => [4,1,3] => [4,3,1] => 3
[7,6,3,8,2,1,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[8,6,3,7,2,1,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[5,6,3,8,2,1,4,7] => [3,2,3] => [3,3,2] => 3
[3,6,4,8,2,5,1,7] => [2,4,2] => [4,2,2] => 3
[2,6,4,8,3,5,7,1] => [2,5,1] => [5,2,1] => 3
[2,6,4,7,3,5,8,1] => [2,4,2] => [4,2,2] => 3
[3,6,4,7,2,5,1,8] => [2,4,2] => [4,2,2] => 3
[4,6,3,7,2,1,5,8] => [3,2,3] => [3,3,2] => 3
[5,6,3,7,2,1,4,8] => [3,2,3] => [3,3,2] => 3
[8,4,3,2,1,6,5,7] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[6,4,3,2,1,7,5,8] => [1,2,1,1,3] => [3,2,1,1,1] => 5
[4,5,3,2,7,1,6,8] => [3,1,4] => [4,3,1] => 3
[3,5,4,2,8,6,1,7] => [2,2,2,2] => [2,2,2,2] => 4
[6,4,3,2,1,8,5,7] => [1,2,1,1,3] => [3,2,1,1,1] => 5
[7,4,3,2,1,8,5,6] => [1,2,1,1,3] => [3,2,1,1,1] => 5
[8,4,3,2,1,7,5,6] => [1,2,1,1,3] => [3,2,1,1,1] => 5
[8,4,3,2,1,7,6,5] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[7,4,3,2,1,8,6,5] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[6,4,3,2,1,8,7,5] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[5,6,3,8,2,1,7,4] => [3,2,2,1] => [3,2,2,1] => 4
[7,5,3,2,8,1,6,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[8,5,4,2,7,6,1,3] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[7,5,4,2,8,6,1,3] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[6,5,4,2,8,7,1,3] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[4,6,5,8,7,2,1,3] => [2,2,2,2] => [2,2,2,2] => 4
[2,6,5,7,8,3,4,1] => [2,5,1] => [5,2,1] => 3
[6,5,4,2,7,8,1,3] => [1,1,2,4] => [4,2,1,1] => 4
[8,5,4,2,6,7,1,3] => [1,1,2,4] => [4,2,1,1] => 4
[8,5,3,2,6,1,7,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[7,5,3,2,6,1,8,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[5,6,3,7,2,1,8,4] => [3,2,1,2] => [3,2,2,1] => 4
[4,6,3,7,2,1,8,5] => [3,2,1,2] => [3,2,2,1] => 4
[3,6,4,7,2,8,1,5] => [2,3,3] => [3,3,2] => 3
[2,6,4,7,3,8,5,1] => [2,3,2,1] => [3,2,2,1] => 4
[3,5,4,2,7,8,1,6] => [2,2,4] => [4,2,2] => 3
[4,5,3,2,7,1,8,6] => [3,1,2,2] => [3,2,2,1] => 4
[7,4,3,2,1,6,8,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[8,4,3,2,1,6,7,5] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[8,4,3,2,1,5,7,6] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[7,4,3,2,1,5,8,6] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[6,4,3,2,1,5,8,7] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[3,5,4,2,6,8,1,7] => [2,2,4] => [4,2,2] => 3
[5,6,3,4,1,2,8,7] => [4,2,2] => [4,2,2] => 3
[8,5,3,7,2,6,4,1] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[8,5,7,4,2,6,3,1] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[7,5,8,4,2,6,1,3] => [1,3,2,2] => [3,2,2,1] => 4
[2,1,7,8,5,6,3,4] => [2,4,2] => [4,2,2] => 3
[6,8,3,7,5,1,4,2] => [3,2,2,1] => [3,2,2,1] => 4
[5,7,3,8,1,6,2,4] => [3,3,2] => [3,3,2] => 3
[3,2,6,4,8,5,1,7] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,5,8,4,6,1,7] => [2,4,2] => [4,2,2] => 3
[3,5,2,4,1,7,6,8] => [4,1,3] => [4,3,1] => 3
[4,2,1,5,7,3,6,8] => [2,1,5] => [5,2,1] => 3
[4,5,2,3,7,1,6,8] => [4,4] => [4,4] => 2
[4,2,5,3,8,1,6,7] => [2,2,4] => [4,2,2] => 3
[4,2,5,8,3,1,6,7] => [2,3,3] => [3,3,2] => 3
[3,1,5,4,2,8,6,7] => [2,2,1,3] => [3,2,2,1] => 4
[4,1,5,3,8,2,6,7] => [2,2,4] => [4,2,2] => 3
[4,1,5,8,3,2,6,7] => [2,3,3] => [3,3,2] => 3
[4,3,8,5,2,1,6,7] => [1,2,2,3] => [3,2,2,1] => 4
[4,7,3,5,2,1,6,8] => [3,2,3] => [3,3,2] => 3
[4,3,2,7,5,1,6,8] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,6,2,5,1,7,8] => [1,4,3] => [4,3,1] => 3
[4,6,3,2,5,1,7,8] => [3,2,3] => [3,3,2] => 3
[4,6,7,1,3,2,5,8] => [5,3] => [5,3] => 2
[4,5,1,7,3,2,6,8] => [3,2,3] => [3,3,2] => 3
[4,5,1,3,7,2,6,8] => [4,4] => [4,4] => 2
[3,5,1,4,2,7,6,8] => [4,1,3] => [4,3,1] => 3
[2,5,1,4,3,7,8,6] => [4,1,3] => [4,3,1] => 3
[5,2,1,4,3,7,8,6] => [2,2,1,3] => [3,2,2,1] => 4
[5,3,1,4,2,7,6,8] => [1,3,1,3] => [3,3,1,1] => 4
[4,3,1,5,7,2,6,8] => [1,2,5] => [5,2,1] => 3
[4,3,1,7,5,2,6,8] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,6,1,5,2,7,8] => [1,4,3] => [4,3,1] => 3
[4,6,3,1,5,2,7,8] => [3,2,3] => [3,3,2] => 3
[5,3,6,4,1,2,7,8] => [1,3,4] => [4,3,1] => 3
[4,3,6,1,7,2,5,8] => [1,3,4] => [4,3,1] => 3
[6,3,4,1,2,7,5,8] => [1,4,3] => [4,3,1] => 3
[6,2,4,1,3,7,8,5] => [2,3,3] => [3,3,2] => 3
[3,6,4,1,2,7,5,8] => [2,3,3] => [3,3,2] => 3
[4,6,3,1,7,2,5,8] => [3,1,4] => [4,3,1] => 3
[5,3,6,2,1,4,7,8] => [1,3,4] => [4,3,1] => 3
[5,6,2,7,1,3,4,8] => [3,5] => [5,3] => 2
[4,5,2,7,3,1,6,8] => [3,2,3] => [3,3,2] => 3
[4,6,7,2,3,1,5,8] => [5,3] => [5,3] => 2
[4,6,2,1,7,3,5,8] => [3,1,4] => [4,3,1] => 3
[3,2,6,1,4,7,5,8] => [2,3,3] => [3,3,2] => 3
[3,6,2,1,4,7,5,8] => [3,2,3] => [3,3,2] => 3
[3,6,7,2,4,5,1,8] => [6,2] => [6,2] => 2
[3,5,2,7,4,6,1,8] => [3,3,2] => [3,3,2] => 3
[3,7,2,4,8,5,1,6] => [4,2,2] => [4,2,2] => 3
[7,2,1,4,6,3,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[7,3,1,4,6,8,2,5] => [1,3,4] => [4,3,1] => 3
[3,2,6,1,5,7,4,8] => [2,3,3] => [3,3,2] => 3
[3,6,2,1,5,7,4,8] => [3,2,3] => [3,3,2] => 3
[6,3,2,1,5,7,4,8] => [1,2,2,3] => [3,2,2,1] => 4
[6,4,2,1,5,3,7,8] => [1,2,2,3] => [3,2,2,1] => 4
[4,2,6,1,5,3,7,8] => [2,3,3] => [3,3,2] => 3
[4,2,1,7,5,3,6,8] => [2,1,2,3] => [3,2,2,1] => 4
[7,4,1,5,6,2,3,8] => [1,2,5] => [5,2,1] => 3
[7,3,1,5,2,6,4,8] => [1,2,3,2] => [3,2,2,1] => 4
[7,2,1,5,3,6,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[6,2,5,1,3,7,8,4] => [2,3,3] => [3,3,2] => 3
[6,3,5,1,2,7,4,8] => [1,4,3] => [4,3,1] => 3
[6,4,5,1,7,2,3,8] => [1,3,4] => [4,3,1] => 3
[5,2,6,4,1,3,7,8] => [2,2,4] => [4,2,2] => 3
[4,6,5,1,7,2,3,8] => [2,2,4] => [4,2,2] => 3
[3,6,5,1,2,7,4,8] => [2,3,3] => [3,3,2] => 3
[6,5,2,1,4,7,8,3] => [1,2,2,3] => [3,2,2,1] => 4
[6,5,3,1,4,7,2,8] => [1,2,2,3] => [3,2,2,1] => 4
[2,3,1,8,5,4,7,6] => [3,2,2,1] => [3,2,2,1] => 4
[2,4,1,5,8,3,7,6] => [3,4,1] => [4,3,1] => 3
[2,4,1,5,3,8,7,6] => [3,2,2,1] => [3,2,2,1] => 4
[3,4,5,1,2,8,7,6] => [5,2,1] => [5,2,1] => 3
[3,4,5,1,8,2,7,6] => [4,3,1] => [4,3,1] => 3
[1,8,4,5,3,2,7,6] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[2,4,8,5,3,1,7,6] => [3,2,2,1] => [3,2,2,1] => 4
[3,4,5,8,2,1,7,6] => [5,2,1] => [5,2,1] => 3
[3,4,5,2,8,1,7,6] => [4,3,1] => [4,3,1] => 3
[3,4,6,2,1,7,8,5] => [4,1,3] => [4,3,1] => 3
[3,4,6,2,1,7,5,8] => [4,1,3] => [4,3,1] => 3
[3,5,6,2,7,1,4,8] => [4,4] => [4,4] => 2
[3,5,6,2,7,1,8,4] => [4,2,2] => [4,2,2] => 3
[3,5,6,2,7,8,1,4] => [4,4] => [4,4] => 2
[3,4,6,2,8,7,1,5] => [4,1,3] => [4,3,1] => 3
[3,4,6,8,2,7,1,5] => [5,3] => [5,3] => 2
[2,4,8,6,3,7,1,5] => [3,2,3] => [3,3,2] => 3
[1,8,4,6,3,7,2,5] => [1,1,3,3] => [3,3,1,1] => 4
[1,8,4,6,3,7,5,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[3,4,6,8,2,7,5,1] => [5,2,1] => [5,2,1] => 3
[3,4,6,2,8,7,5,1] => [4,1,2,1] => [4,2,1,1] => 4
[3,5,6,2,7,8,4,1] => [4,3,1] => [4,3,1] => 3
[3,5,6,2,7,4,1,8] => [4,2,2] => [4,2,2] => 3
[4,5,6,7,2,8,3,1] => [5,2,1] => [5,2,1] => 3
[3,5,6,8,7,2,4,1] => [4,3,1] => [4,3,1] => 3
[2,5,8,6,7,3,4,1] => [3,4,1] => [4,3,1] => 3
[1,8,5,6,7,3,4,2] => [1,1,5,1] => [5,1,1,1] => 4
[1,8,5,6,7,3,2,4] => [1,1,4,2] => [4,2,1,1] => 4
[2,5,8,6,7,3,1,4] => [3,3,2] => [3,3,2] => 3
[3,5,6,8,7,2,1,4] => [4,2,2] => [4,2,2] => 3
[4,5,6,7,2,1,8,3] => [5,1,2] => [5,2,1] => 3
[3,4,6,1,8,7,2,5] => [4,1,3] => [4,3,1] => 3
[2,4,1,6,8,7,3,5] => [3,2,3] => [3,3,2] => 3
[2,3,1,8,6,7,4,5] => [3,1,4] => [4,3,1] => 3
[1,8,3,2,6,7,5,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[2,5,1,6,7,8,4,3] => [3,4,1] => [4,3,1] => 3
[2,5,1,6,7,4,8,3] => [3,3,2] => [3,3,2] => 3
[2,5,1,6,7,4,3,8] => [3,3,2] => [3,3,2] => 3
[3,5,6,1,7,4,2,8] => [4,2,2] => [4,2,2] => 3
[3,5,6,1,7,4,8,2] => [4,2,2] => [4,2,2] => 3
[3,4,6,1,8,7,5,2] => [4,1,2,1] => [4,2,1,1] => 4
[3,4,6,8,1,7,5,2] => [5,2,1] => [5,2,1] => 3
[2,4,8,6,1,7,5,3] => [3,2,2,1] => [3,2,2,1] => 4
[1,8,4,6,2,7,5,3] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[1,8,5,6,7,2,4,3] => [1,1,5,1] => [5,1,1,1] => 4
[2,5,8,6,7,1,4,3] => [3,4,1] => [4,3,1] => 3
[3,5,6,8,7,1,4,2] => [4,3,1] => [4,3,1] => 3
[4,5,6,7,8,1,3,2] => [7,1] => [7,1] => 2
[4,5,6,7,1,3,8,2] => [6,2] => [6,2] => 2
[4,5,6,7,1,3,2,8] => [6,2] => [6,2] => 2
[4,5,6,7,3,1,8,2] => [5,1,2] => [5,2,1] => 3
[3,5,6,8,7,4,1,2] => [4,2,2] => [4,2,2] => 3
[2,5,8,6,7,4,1,3] => [3,3,2] => [3,3,2] => 3
[1,8,5,6,7,4,2,3] => [1,1,4,2] => [4,2,1,1] => 4
[1,8,5,6,7,4,3,2] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[2,5,8,6,7,4,3,1] => [3,3,1,1] => [3,3,1,1] => 4
[8,2,5,3,7,1,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,2,4,3,7,1,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[5,8,2,4,3,7,1,6] => [4,1,3] => [4,3,1] => 3
[4,2,5,6,1,8,3,7] => [2,3,3] => [3,3,2] => 3
[4,2,5,6,1,7,3,8] => [2,3,3] => [3,3,2] => 3
[6,1,5,7,3,2,4,8] => [2,3,3] => [3,3,2] => 3
[6,1,5,8,3,2,4,7] => [2,3,3] => [3,3,2] => 3
[3,8,2,4,7,1,5,6] => [4,4] => [4,4] => 2
[3,6,8,2,4,7,1,5] => [5,3] => [5,3] => 2
[4,3,5,6,7,1,8,2] => [1,5,2] => [5,2,1] => 3
[3,7,1,5,6,8,2,4] => [3,5] => [5,3] => 2
[3,7,1,5,8,2,4,6] => [3,5] => [5,3] => 2
[8,3,2,4,6,1,5,7] => [1,3,4] => [4,3,1] => 3
[7,3,2,4,6,1,5,8] => [1,3,4] => [4,3,1] => 3
[3,2,5,1,7,4,6,8] => [2,2,4] => [4,2,2] => 3
[3,2,5,1,8,4,6,7] => [2,2,4] => [4,2,2] => 3
[3,2,5,1,7,8,4,6] => [2,2,4] => [4,2,2] => 3
[7,8,3,2,4,6,1,5] => [3,3,2] => [3,3,2] => 3
[6,1,5,7,8,3,2,4] => [2,4,2] => [4,2,2] => 3
[4,2,5,6,1,7,8,3] => [2,3,3] => [3,3,2] => 3
[5,7,6,1,8,3,4,2] => [2,2,3,1] => [3,2,2,1] => 4
[5,8,6,1,7,3,4,2] => [2,2,3,1] => [3,2,2,1] => 4
[6,1,5,8,7,3,2,4] => [2,2,2,2] => [2,2,2,2] => 4
[8,7,3,2,4,6,1,5] => [1,2,3,2] => [3,2,2,1] => 4
[3,2,5,1,8,7,4,6] => [2,2,1,3] => [3,2,2,1] => 4
[3,2,5,1,6,4,7,8] => [2,2,4] => [4,2,2] => 3
[3,2,4,1,8,7,5,6] => [2,2,1,3] => [3,2,2,1] => 4
[3,2,5,1,6,8,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[3,8,6,5,1,7,4,2] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[3,7,6,5,1,8,4,2] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[6,5,1,7,8,4,2,3] => [1,2,3,2] => [3,2,2,1] => 4
[3,2,5,1,6,7,8,4] => [2,2,4] => [4,2,2] => 3
[3,2,4,1,8,5,6,7] => [2,2,4] => [4,2,2] => 3
[3,2,4,1,7,5,6,8] => [2,2,4] => [4,2,2] => 3
[3,2,4,1,6,8,5,7] => [2,2,4] => [4,2,2] => 3
[3,2,4,1,8,5,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[8,3,2,4,7,6,1,5] => [1,3,2,2] => [3,2,2,1] => 4
[3,2,5,1,8,4,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,5,1,6,7,4,8] => [2,2,4] => [4,2,2] => 3
[6,5,1,7,4,2,3,8] => [1,2,2,3] => [3,2,2,1] => 4
[6,5,1,8,4,2,3,7] => [1,2,2,3] => [3,2,2,1] => 4
[8,4,2,3,7,5,1,6] => [1,3,2,2] => [3,2,2,1] => 4
[4,2,6,1,8,3,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[5,2,6,1,8,3,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,4,6,1,7,3,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[5,2,6,1,8,4,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[7,4,2,3,8,5,1,6] => [1,3,2,2] => [3,2,2,1] => 4
[8,5,1,6,4,2,3,7] => [1,2,2,3] => [3,2,2,1] => 4
[7,5,1,6,4,2,3,8] => [1,2,2,3] => [3,2,2,1] => 4
[3,2,5,1,7,6,4,8] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,5,1,8,6,4,7] => [2,2,2,2] => [2,2,2,2] => 4
[7,3,2,4,8,6,1,5] => [1,3,2,2] => [3,2,2,1] => 4
[8,6,1,5,7,3,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[4,2,6,1,8,5,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,5,6,1,7,3,4,2] => [1,3,3,1] => [3,3,1,1] => 4
[3,6,8,5,1,7,4,2] => [3,2,2,1] => [3,2,2,1] => 4
[8,5,1,6,7,4,2,3] => [1,2,3,2] => [3,2,2,1] => 4
[3,2,5,1,8,6,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,4,1,8,6,5,7] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,4,1,5,8,6,7] => [2,3,3] => [3,3,2] => 3
[3,2,5,1,7,8,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[7,8,5,1,6,4,2,3] => [2,2,2,2] => [2,2,2,2] => 4
[3,8,5,1,7,6,4,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[3,7,5,1,8,6,4,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[8,7,5,1,6,4,2,3] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[3,2,5,1,8,7,6,4] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[6,5,7,3,1,8,4,2] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[4,6,3,7,1,8,5,2] => [3,2,2,1] => [3,2,2,1] => 4
[4,6,3,7,5,1,8,2] => [3,2,1,2] => [3,2,2,1] => 4
[4,2,6,1,7,5,3,8] => [2,2,2,2] => [2,2,2,2] => 4
[2,5,7,4,1,6,3,8] => [4,2,2] => [4,2,2] => 3
[2,5,7,4,1,6,8,3] => [4,2,2] => [4,2,2] => 3
[5,4,7,3,6,1,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[5,4,7,8,3,1,6,2] => [1,4,2,1] => [4,2,1,1] => 4
[4,3,7,5,1,8,6,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,4,3,8,5,1,7,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,8,4,3,6,1,7,2] => [2,2,3,1] => [3,2,2,1] => 4
[5,4,8,3,6,1,7,2] => [1,3,3,1] => [3,3,1,1] => 4
[5,4,3,6,7,1,8,2] => [1,2,3,2] => [3,2,2,1] => 4
[2,5,4,6,1,7,3,8] => [2,3,3] => [3,3,2] => 3
[3,2,5,8,1,6,7,4] => [2,5,1] => [5,2,1] => 3
[2,5,4,6,8,1,7,3] => [2,5,1] => [5,2,1] => 3
[5,2,8,4,1,6,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[4,6,2,1,8,5,7,3] => [3,1,3,1] => [3,3,1,1] => 4
[2,4,1,7,5,8,6,3] => [3,2,2,1] => [3,2,2,1] => 4
[2,4,1,7,5,3,8,6] => [3,2,1,2] => [3,2,2,1] => 4
[2,6,4,1,8,5,3,7] => [2,2,2,2] => [2,2,2,2] => 4
[5,4,8,2,1,6,3,7] => [1,3,2,2] => [3,2,2,1] => 4
[2,5,8,4,1,6,3,7] => [4,2,2] => [4,2,2] => 3
[3,2,5,6,1,8,4,7] => [2,3,3] => [3,3,2] => 3
[4,8,3,2,6,1,5,7] => [3,1,4] => [4,3,1] => 3
[3,5,2,8,1,6,4,7] => [3,3,2] => [3,3,2] => 3
[3,2,1,6,8,5,4,7] => [2,1,3,2] => [3,2,2,1] => 4
[3,2,7,1,5,4,8,6] => [2,3,1,2] => [3,2,2,1] => 4
[3,2,7,1,5,8,6,4] => [2,3,2,1] => [3,2,2,1] => 4
[3,8,2,5,1,6,7,4] => [3,4,1] => [4,3,1] => 3
[4,8,3,2,6,7,1,5] => [3,1,4] => [4,3,1] => 3
[4,3,8,2,6,7,1,5] => [1,3,4] => [4,3,1] => 3
[4,3,2,6,7,8,1,5] => [1,2,5] => [5,2,1] => 3
[4,3,2,6,7,1,5,8] => [1,2,5] => [5,2,1] => 3
[4,3,7,2,6,8,1,5] => [1,3,4] => [4,3,1] => 3
[4,3,7,8,2,6,1,5] => [1,5,2] => [5,2,1] => 3
[2,5,7,4,8,1,6,3] => [4,3,1] => [4,3,1] => 3
[3,2,5,7,8,1,6,4] => [2,5,1] => [5,2,1] => 3
[3,2,5,7,1,6,8,4] => [2,4,2] => [4,2,2] => 3
[3,2,5,7,1,6,4,8] => [2,4,2] => [4,2,2] => 3
[6,3,2,7,1,5,4,8] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,2,7,1,5,8,4] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,2,7,8,1,5,4] => [1,2,4,1] => [4,2,1,1] => 4
[4,2,6,1,7,8,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[6,5,2,1,7,8,4,3] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[2,1,7,5,3,8,6,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[6,2,1,8,5,3,7,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[6,3,2,7,1,4,8,5] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,2,1,4,7,8,5] => [1,2,2,3] => [3,2,2,1] => 4
[6,3,2,1,4,7,5,8] => [1,2,2,3] => [3,2,2,1] => 4
[3,5,2,1,7,4,6,8] => [3,1,4] => [4,3,1] => 3
[3,5,2,1,7,8,4,6] => [3,1,4] => [4,3,1] => 3
[5,8,4,2,1,7,3,6] => [2,2,1,3] => [3,2,2,1] => 4
[4,6,2,1,8,3,7,5] => [3,1,3,1] => [3,3,1,1] => 4
[2,4,1,7,3,8,6,5] => [3,2,2,1] => [3,2,2,1] => 4
[3,2,7,1,4,8,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[3,5,8,2,1,7,4,6] => [4,1,3] => [4,3,1] => 3
[4,8,3,7,2,1,5,6] => [3,2,3] => [3,3,2] => 3
[4,3,7,2,8,1,5,6] => [1,3,4] => [4,3,1] => 3
[4,3,7,2,1,5,6,8] => [1,3,4] => [4,3,1] => 3
[4,8,3,2,7,1,5,6] => [3,1,4] => [4,3,1] => 3
[3,5,2,8,1,7,4,6] => [3,2,3] => [3,3,2] => 3
[6,3,2,8,1,4,7,5] => [1,2,4,1] => [4,2,1,1] => 4
[3,2,1,4,7,5,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[5,3,2,1,8,4,6,7] => [1,2,1,4] => [4,2,1,1] => 4
[4,8,3,2,1,5,6,7] => [3,1,4] => [4,3,1] => 3
[4,3,8,2,1,5,6,7] => [1,3,4] => [4,3,1] => 3
[1,9,8,7,6,5,4,3,2] => [1,1,1,1,2,1,1,1] => [2,1,1,1,1,1,1,1] => 8
[8,7,6,4,5,3,2,1,9] => [1,1,3,1,1,2] => [3,2,1,1,1,1] => 6
[1,9,8,7,5,6,4,3,2] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 7
[1,10,9,8,7,6,5,4,3,2] => [1,1,1,1,2,1,1,1,1] => [2,1,1,1,1,1,1,1,1] => 9
[9,8,7,5,6,4,3,2,1,10] => [1,1,1,3,1,1,2] => [3,2,1,1,1,1,1] => 7
[8,7,5,4,6,3,2,1,9] => [1,1,2,2,1,2] => [2,2,2,1,1,1] => 6
[8,7,4,6,5,3,2,1,9] => [1,1,3,1,1,2] => [3,2,1,1,1,1] => 6
[1,9,8,6,5,7,4,3,2] => [1,1,1,2,2,1,1] => [2,2,1,1,1,1,1] => 7
[1,9,8,5,7,6,4,3,2] => [1,1,1,3,1,1,1] => [3,1,1,1,1,1,1] => 7
[1,10,9,8,6,7,5,4,3,2] => [1,1,1,1,3,1,1,1] => [3,1,1,1,1,1,1,1] => 8
[6,2,3,1,5,4,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[8,4,5,2,3,1,7,6] => [1,4,2,1] => [4,2,1,1] => 4
[8,6,7,2,5,3,4,1] => [1,4,2,1] => [4,2,1,1] => 4
[8,2,5,3,4,1,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[6,2,5,3,4,1,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[6,1,5,2,4,3,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[6,4,5,1,3,2,8,7] => [1,4,1,2] => [4,2,1,1] => 4
[6,1,5,3,4,2,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[6,3,5,1,4,2,8,7] => [1,4,1,2] => [4,2,1,1] => 4
[8,3,5,2,4,1,7,6] => [1,4,2,1] => [4,2,1,1] => 4
[8,3,7,5,6,2,4,1] => [1,2,4,1] => [4,2,1,1] => 4
[8,3,7,2,4,1,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[8,3,5,1,4,2,7,6] => [1,4,2,1] => [4,2,1,1] => 4
[8,1,5,3,4,2,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[8,4,5,1,3,2,7,6] => [1,4,2,1] => [4,2,1,1] => 4
[2,1,8,4,5,3,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[8,6,7,4,5,1,3,2] => [1,4,2,1] => [4,2,1,1] => 4
[8,6,7,1,5,3,4,2] => [1,4,2,1] => [4,2,1,1] => 4
[8,6,7,3,5,1,4,2] => [1,4,2,1] => [4,2,1,1] => 4
[8,3,7,5,6,1,4,2] => [1,2,4,1] => [4,2,1,1] => 4
[8,5,7,3,6,1,4,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,3,7,4,6,2,5,1] => [1,3,3,1] => [3,3,1,1] => 4
[8,3,7,4,6,1,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,3,7,1,6,4,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,1,7,3,6,4,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,7,5,6,3,4,2] => [2,1,4,1] => [4,2,1,1] => 4
[8,4,7,5,6,1,3,2] => [1,2,4,1] => [4,2,1,1] => 4
[2,1,8,4,7,5,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,7,3,4,2,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[8,1,7,3,6,2,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,3,7,1,6,2,5,4] => [1,3,3,1] => [3,3,1,1] => 4
[8,3,7,2,6,4,5,1] => [1,3,3,1] => [3,3,1,1] => 4
[8,2,7,3,6,4,5,1] => [2,2,3,1] => [3,2,2,1] => 4
[8,2,7,3,6,1,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,2,7,1,6,3,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,7,2,4,3,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[8,1,3,2,7,4,6,5] => [3,1,3,1] => [3,3,1,1] => 4
[2,1,8,3,7,4,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,5,2,4,3,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[8,2,7,1,4,3,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[8,2,7,3,4,1,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[8,2,7,5,6,3,4,1] => [2,1,4,1] => [4,2,1,1] => 4
[8,4,7,5,6,2,3,1] => [1,2,4,1] => [4,2,1,1] => 4
[8,4,7,2,3,1,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[8,2,3,1,7,4,6,5] => [3,1,3,1] => [3,3,1,1] => 4
[8,2,3,1,5,4,7,6] => [3,2,2,1] => [3,2,2,1] => 4
[4,2,3,1,8,5,7,6] => [3,1,3,1] => [3,3,1,1] => 4
[4,1,3,2,8,6,7,5] => [3,1,3,1] => [3,3,1,1] => 4
[8,6,7,2,3,1,5,4] => [1,4,2,1] => [4,2,1,1] => 4
[8,2,3,1,7,5,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[8,5,7,2,6,3,4,1] => [1,3,3,1] => [3,3,1,1] => 4
[8,5,7,2,6,1,4,3] => [1,3,3,1] => [3,3,1,1] => 4
[8,2,7,5,6,1,4,3] => [2,1,4,1] => [4,2,1,1] => 4
[8,6,7,2,5,1,4,3] => [1,4,2,1] => [4,2,1,1] => 4
[8,6,7,1,5,2,4,3] => [1,4,2,1] => [4,2,1,1] => 4
[8,6,7,1,3,2,5,4] => [1,4,2,1] => [4,2,1,1] => 4
[2,1,8,6,7,3,5,4] => [2,1,4,1] => [4,2,1,1] => 4
[2,1,8,3,7,5,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,3,2,7,5,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[8,1,7,5,6,2,4,3] => [2,1,4,1] => [4,2,1,1] => 4
[8,1,7,2,6,4,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,2,7,1,6,4,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,2,7,4,6,1,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,2,7,4,6,3,5,1] => [2,2,3,1] => [3,2,2,1] => 4
[8,4,7,2,6,3,5,1] => [1,3,3,1] => [3,3,1,1] => 4
[8,4,7,2,6,1,5,3] => [1,3,3,1] => [3,3,1,1] => 4
[8,4,7,1,6,2,5,3] => [1,3,3,1] => [3,3,1,1] => 4
[8,1,7,4,6,2,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,5,7,1,6,2,4,3] => [1,3,3,1] => [3,3,1,1] => 4
[2,1,8,5,7,3,6,4] => [2,1,4,1] => [4,2,1,1] => 4
[8,5,7,4,6,1,3,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,5,7,1,6,3,4,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,1,7,4,6,3,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[8,4,7,1,6,3,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,4,7,3,6,1,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[2,4,8,3,6,1,7,5] => [4,3,1] => [4,3,1] => 3
[6,5,8,1,3,2,7,4] => [1,4,2,1] => [4,2,1,1] => 4
[4,5,8,6,3,2,7,1] => [3,2,2,1] => [3,2,2,1] => 4
[6,5,8,7,3,1,2,4] => [1,2,2,3] => [3,2,2,1] => 4
[1,5,8,7,3,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[1,7,2,8,4,6,5,3] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[6,7,2,8,4,1,5,3] => [3,2,2,1] => [3,2,2,1] => 4
[3,6,2,8,4,5,7,1] => [3,4,1] => [4,3,1] => 3
[2,6,1,8,4,5,7,3] => [3,4,1] => [4,3,1] => 3
[2,8,4,6,1,5,7,3] => [2,5,1] => [5,2,1] => 3
[6,3,1,8,4,5,7,2] => [1,2,4,1] => [4,2,1,1] => 4
[3,1,6,8,4,5,7,2] => [2,5,1] => [5,2,1] => 3
[2,3,6,8,4,5,7,1] => [7,1] => [7,1] => 2
[6,3,7,8,4,1,5,2] => [1,4,2,1] => [4,2,1,1] => 4
[1,3,7,8,4,6,5,2] => [1,5,1,1] => [5,1,1,1] => 4
[1,5,7,8,2,4,6,3] => [1,6,1] => [6,1,1] => 3
[5,1,7,8,2,4,6,3] => [2,5,1] => [5,2,1] => 3
[3,6,7,8,4,2,5,1] => [5,2,1] => [5,2,1] => 3
[7,6,1,8,4,2,5,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,6,8,7,3,2,1,4] => [3,2,1,2] => [3,2,2,1] => 4
[2,8,3,7,1,6,5,4] => [3,3,1,1] => [3,3,1,1] => 4
[5,2,8,7,3,6,1,4] => [2,1,3,2] => [3,2,2,1] => 4
[7,2,1,8,4,6,5,3] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[3,2,7,8,4,6,5,1] => [2,4,1,1] => [4,2,1,1] => 4
[5,2,7,8,1,4,6,3] => [2,5,1] => [5,2,1] => 3
[1,2,7,8,5,4,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[4,2,1,3,8,5,6,7] => [2,2,4] => [4,2,2] => 3
[7,2,5,8,3,4,6,1] => [2,5,1] => [5,2,1] => 3
[6,2,8,5,4,3,1,7] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[2,8,3,5,4,1,6,7] => [3,2,3] => [3,3,2] => 3
[2,8,4,5,3,1,6,7] => [2,3,3] => [3,3,2] => 3
[6,4,8,5,2,3,1,7] => [1,2,3,2] => [3,2,2,1] => 4
[7,3,5,8,2,4,6,1] => [1,6,1] => [6,1,1] => 3
[4,3,1,2,8,5,6,7] => [1,3,4] => [4,3,1] => 3
[3,4,2,1,8,5,6,7] => [3,1,4] => [4,3,1] => 3
[2,7,6,8,4,3,5,1] => [2,3,2,1] => [3,2,2,1] => 4
[5,7,1,8,3,4,6,2] => [3,4,1] => [4,3,1] => 3
[3,7,5,8,1,4,6,2] => [2,5,1] => [5,2,1] => 3
[1,7,5,8,3,4,6,2] => [1,1,5,1] => [5,1,1,1] => 4
[1,6,8,5,4,3,2,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[4,6,8,5,1,3,2,7] => [3,3,2] => [3,3,2] => 3
[5,6,8,1,4,3,2,7] => [5,1,2] => [5,2,1] => 3
[7,5,8,6,3,4,2,1] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[2,4,8,3,6,5,1,7] => [4,2,2] => [4,2,2] => 3
[2,8,4,1,5,6,3,7] => [2,4,2] => [4,2,2] => 3
[4,1,8,3,5,6,2,7] => [2,4,2] => [4,2,2] => 3
[5,6,8,4,1,3,2,7] => [4,2,2] => [4,2,2] => 3
[4,6,8,1,5,3,2,7] => [5,1,2] => [5,2,1] => 3
[1,6,8,4,5,3,2,7] => [1,4,1,2] => [4,2,1,1] => 4
[1,7,3,8,5,4,6,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[3,7,1,8,5,4,6,2] => [3,2,2,1] => [3,2,2,1] => 4
[2,7,3,8,4,6,5,1] => [3,3,1,1] => [3,3,1,1] => 4
[7,1,3,8,4,6,5,2] => [3,3,1,1] => [3,3,1,1] => 4
[5,7,8,4,3,6,1,2] => [4,2,2] => [4,2,2] => 3
[2,8,7,4,1,6,5,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[2,8,5,4,3,1,6,7] => [2,2,1,3] => [3,2,2,1] => 4
[6,5,8,4,2,3,1,7] => [1,3,2,2] => [3,2,2,1] => 4
[4,1,3,2,8,5,6,7] => [3,1,4] => [4,3,1] => 3
[1,4,3,2,8,5,6,7] => [1,2,1,4] => [4,2,1,1] => 4
[7,3,2,8,5,4,6,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,4,8,2,5,3,1,7] => [1,4,1,2] => [4,2,1,1] => 4
[2,8,4,3,5,1,6,7] => [2,3,3] => [3,3,2] => 3
[2,8,3,4,5,1,6,7] => [5,3] => [5,3] => 2
[6,2,8,4,5,3,1,7] => [2,3,1,2] => [3,2,2,1] => 4
[7,2,3,8,5,4,6,1] => [3,2,2,1] => [3,2,2,1] => 4
[4,2,3,1,8,5,6,7] => [3,1,4] => [4,3,1] => 3
[3,2,1,4,8,5,6,7] => [2,2,4] => [4,2,2] => 3
[5,1,3,2,4,8,6,7] => [3,2,3] => [3,3,2] => 3
[2,8,1,5,3,4,7,6] => [3,4,1] => [4,3,1] => 3
[1,2,8,4,5,3,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[1,4,2,8,5,3,6,7] => [1,2,2,3] => [3,2,2,1] => 4
[1,8,4,2,5,3,6,7] => [1,1,3,3] => [3,3,1,1] => 4
[8,1,5,3,2,4,6,7] => [2,2,4] => [4,2,2] => 3
[3,8,1,5,2,4,6,7] => [3,5] => [5,3] => 2
[3,5,1,4,8,2,6,7] => [4,4] => [4,4] => 2
[1,5,2,8,4,3,6,7] => [1,2,2,3] => [3,2,2,1] => 4
[1,2,8,5,4,3,6,7] => [2,1,2,3] => [3,2,2,1] => 4
[1,2,5,4,3,8,6,7] => [2,2,1,3] => [3,2,2,1] => 4
[1,2,4,8,5,3,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[1,2,7,4,8,5,3,6] => [2,2,2,2] => [2,2,2,2] => 4
[1,5,2,7,8,4,3,6] => [1,2,3,2] => [3,2,2,1] => 4
[5,1,2,7,4,8,3,6] => [3,2,3] => [3,3,2] => 3
[8,3,5,1,4,7,2,6] => [1,4,3] => [4,3,1] => 3
[2,8,1,5,4,7,3,6] => [3,2,3] => [3,3,2] => 3
[1,2,8,5,7,4,3,6] => [2,1,3,2] => [3,2,2,1] => 4
[1,2,4,8,7,5,3,6] => [2,2,2,2] => [2,2,2,2] => 4
[2,8,1,4,3,7,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[6,1,2,8,7,4,3,5] => [3,1,2,2] => [3,2,2,1] => 4
[6,4,1,2,8,7,3,5] => [1,3,1,3] => [3,3,1,1] => 4
[3,6,4,8,1,7,2,5] => [2,3,3] => [3,3,2] => 3
[7,6,1,4,2,8,3,5] => [1,3,1,3] => [3,3,1,1] => 4
[7,1,6,2,8,4,3,5] => [2,2,2,2] => [2,2,2,2] => 4
[1,6,7,2,8,4,3,5] => [1,3,2,2] => [3,2,2,1] => 4
[6,7,1,4,2,8,3,5] => [4,1,3] => [4,3,1] => 3
[6,3,7,1,4,8,2,5] => [1,4,3] => [4,3,1] => 3
[3,7,8,1,5,2,4,6] => [5,3] => [5,3] => 2
[7,1,2,8,5,3,4,6] => [3,2,3] => [3,3,2] => 3
[1,7,2,8,4,5,3,6] => [1,2,3,2] => [3,2,2,1] => 4
[1,4,2,7,8,5,3,6] => [1,2,3,2] => [3,2,2,1] => 4
[6,1,2,8,4,3,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[6,4,1,2,8,3,7,5] => [1,3,3,1] => [3,3,1,1] => 4
[7,6,1,3,2,4,8,5] => [1,3,2,2] => [3,2,2,1] => 4
[6,7,1,3,2,4,8,5] => [4,2,2] => [4,2,2] => 3
[1,2,7,3,5,8,4,6] => [2,3,3] => [3,3,2] => 3
[1,2,7,5,8,3,4,6] => [2,1,5] => [5,2,1] => 3
[5,8,1,3,7,2,4,6] => [4,4] => [4,4] => 2
[1,2,5,8,7,3,4,6] => [2,2,4] => [4,2,2] => 3
[1,2,5,8,3,7,4,6] => [2,3,3] => [3,3,2] => 3
[2,8,1,7,3,5,4,6] => [3,3,2] => [3,3,2] => 3
[8,6,1,3,2,4,7,5] => [1,3,3,1] => [3,3,1,1] => 4
[4,2,8,1,7,3,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[2,8,1,7,4,3,6,5] => [3,2,2,1] => [3,2,2,1] => 4
[7,1,2,8,4,3,6,5] => [3,2,2,1] => [3,2,2,1] => 4
[1,2,8,4,7,5,3,6] => [2,2,2,2] => [2,2,2,2] => 4
[1,2,8,7,4,5,3,6] => [2,1,3,2] => [3,2,2,1] => 4
[2,8,1,7,5,3,4,6] => [3,2,3] => [3,3,2] => 3
[8,3,7,1,5,2,4,6] => [1,4,3] => [4,3,1] => 3
[3,8,6,1,4,7,2,5] => [2,3,3] => [3,3,2] => 3
[8,6,1,4,2,7,3,5] => [1,3,1,3] => [3,3,1,1] => 4
[8,1,6,2,7,4,3,5] => [2,2,2,2] => [2,2,2,2] => 4
[7,1,2,8,6,4,3,5] => [3,1,2,2] => [3,2,2,1] => 4
[7,4,1,2,8,6,3,5] => [1,3,2,2] => [3,2,2,1] => 4
[3,7,4,8,1,6,2,5] => [2,4,2] => [4,2,2] => 3
[3,4,8,7,1,6,2,5] => [3,3,2] => [3,3,2] => 3
[4,2,8,1,7,6,3,5] => [2,2,2,2] => [2,2,2,2] => 4
[2,8,1,7,6,4,3,5] => [3,1,2,2] => [3,2,2,1] => 4
[7,8,3,4,1,5,2,6] => [4,2,2] => [4,2,2] => 3
[7,8,3,4,1,6,2,5] => [4,2,2] => [4,2,2] => 3
[6,8,3,4,1,7,2,5] => [4,1,3] => [4,3,1] => 3
[6,7,3,4,1,8,2,5] => [4,1,3] => [4,3,1] => 3
[5,7,3,4,1,8,2,6] => [4,1,3] => [4,3,1] => 3
[5,8,3,4,1,7,2,6] => [4,1,3] => [4,3,1] => 3
[5,8,3,4,1,6,2,7] => [4,2,2] => [4,2,2] => 3
[6,8,3,4,1,5,2,7] => [4,2,2] => [4,2,2] => 3
[6,7,3,4,1,5,2,8] => [4,2,2] => [4,2,2] => 3
[5,7,3,4,1,6,2,8] => [4,2,2] => [4,2,2] => 3
[5,6,2,8,3,4,1,7] => [3,3,2] => [3,3,2] => 3
[5,6,2,7,3,4,1,8] => [3,3,2] => [3,3,2] => 3
[4,6,2,8,3,5,1,7] => [3,3,2] => [3,3,2] => 3
[4,7,3,5,1,6,2,8] => [3,3,2] => [3,3,2] => 3
[4,8,3,5,1,6,2,7] => [3,3,2] => [3,3,2] => 3
[4,8,3,5,1,7,2,6] => [3,2,3] => [3,3,2] => 3
[4,7,3,5,1,8,2,6] => [3,2,3] => [3,3,2] => 3
[5,6,2,3,1,7,4,8] => [4,1,3] => [4,3,1] => 3
[5,6,2,4,1,8,3,7] => [4,1,3] => [4,3,1] => 3
[5,6,2,4,1,7,3,8] => [4,1,3] => [4,3,1] => 3
[4,6,2,5,1,7,3,8] => [3,2,3] => [3,3,2] => 3
[4,6,2,5,1,8,3,7] => [3,2,3] => [3,3,2] => 3
[4,5,1,8,3,7,2,6] => [3,2,3] => [3,3,2] => 3
[4,5,1,7,3,8,2,6] => [3,2,3] => [3,3,2] => 3
[4,6,2,7,3,8,1,5] => [3,2,3] => [3,3,2] => 3
[5,6,2,7,3,8,1,4] => [3,2,3] => [3,3,2] => 3
[5,6,2,7,4,8,1,3] => [3,2,3] => [3,3,2] => 3
[5,6,3,8,4,7,1,2] => [3,2,3] => [3,3,2] => 3
[5,6,2,8,4,7,1,3] => [3,2,3] => [3,3,2] => 3
[5,6,2,8,3,7,1,4] => [3,2,3] => [3,3,2] => 3
[4,6,2,8,3,7,1,5] => [3,2,3] => [3,3,2] => 3
[4,5,1,7,3,6,2,8] => [3,3,2] => [3,3,2] => 3
[4,5,1,8,3,6,2,7] => [3,3,2] => [3,3,2] => 3
[9,2,1,3,4,5,6,7,8] => [2,7] => [7,2] => 2
[10,2,1,3,4,5,6,7,8,9] => [2,8] => [8,2] => 2
[9,2,3,1,4,5,6,7,8] => [3,6] => [6,3] => 2
[4,2,3,5,6,7,8,9,1] => [3,6] => [6,3] => 2
[3,4,2,5,6,7,8,9,1] => [3,6] => [6,3] => 2
[3,2,4,5,6,7,8,9,10,1] => [2,8] => [8,2] => 2
[2,3,4,5,6,7,8,9,10,11,1] => [11] => [11] => 1
[6,5,3,2,1,4,8,7] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,6,3,5,2,1,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[8,7,3,5,2,4,1,6] => [1,2,3,2] => [3,2,2,1] => 4
[6,8,2,4,5,7,3,1] => [5,2,1] => [5,2,1] => 3
[8,7,2,4,5,3,1,6] => [1,4,1,2] => [4,2,1,1] => 4
[3,6,1,4,5,2,8,7] => [5,1,2] => [5,2,1] => 3
[8,3,7,4,5,2,1,6] => [1,4,1,2] => [4,2,1,1] => 4
[6,3,8,4,5,7,2,1] => [1,4,2,1] => [4,2,1,1] => 4
[5,8,7,4,3,6,2,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[2,8,7,4,3,6,1,5] => [2,2,2,2] => [2,2,2,2] => 4
[8,1,7,4,3,6,2,5] => [2,2,2,2] => [2,2,2,2] => 4
[8,7,3,5,1,4,2,6] => [1,2,3,2] => [3,2,2,1] => 4
[2,1,6,8,5,7,4,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,8,3,5,1,7,4,2] => [3,2,2,1] => [3,2,2,1] => 4
[5,1,8,4,7,6,3,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[2,5,8,4,7,6,3,1] => [4,2,1,1] => [4,2,1,1] => 4
[4,3,8,1,5,6,7,2] => [1,6,1] => [6,1,1] => 3
[4,8,1,3,5,6,7,2] => [7,1] => [7,1] => 2
[5,8,7,4,1,6,3,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[5,8,3,6,1,4,7,2] => [3,4,1] => [4,3,1] => 3
[4,8,3,6,1,2,7,5] => [3,4,1] => [4,3,1] => 3
[3,8,7,4,1,6,2,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,8,1,2,5,6,7,4] => [7,1] => [7,1] => 2
[8,7,1,4,2,6,3,5] => [1,3,2,2] => [3,2,2,1] => 4
[8,6,3,1,2,4,7,5] => [1,2,4,1] => [4,2,1,1] => 4
[8,1,7,4,5,2,3,6] => [2,3,3] => [3,3,2] => 3
[2,8,7,4,5,1,3,6] => [2,3,3] => [3,3,2] => 3
[8,7,2,4,1,6,3,5] => [1,3,2,2] => [3,2,2,1] => 4
[5,8,3,6,2,4,7,1] => [3,4,1] => [4,3,1] => 3
[8,6,3,2,1,4,7,5] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[8,7,3,5,2,1,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[5,8,3,6,2,1,7,4] => [3,2,2,1] => [3,2,2,1] => 4
[5,8,7,4,2,6,1,3] => [2,2,2,2] => [2,2,2,2] => 4
[2,6,8,4,5,7,1,3] => [5,3] => [5,3] => 2
[6,1,8,4,5,7,2,3] => [2,3,3] => [3,3,2] => 3
[6,8,3,5,1,7,2,4] => [3,2,3] => [3,3,2] => 3
[2,1,5,8,3,6,7,4] => [2,5,1] => [5,2,1] => 3
[5,8,3,6,1,2,7,4] => [3,4,1] => [4,3,1] => 3
[4,1,8,2,5,6,7,3] => [2,5,1] => [5,2,1] => 3
[2,4,8,1,5,6,7,3] => [7,1] => [7,1] => 2
[4,8,2,1,5,6,7,3] => [3,4,1] => [4,3,1] => 3
[3,4,8,2,5,6,7,1] => [7,1] => [7,1] => 2
[5,8,1,4,7,6,2,3] => [4,2,2] => [4,2,2] => 3
[5,8,3,1,6,2,7,4] => [3,1,3,1] => [3,3,1,1] => 4
[4,5,3,8,6,1,7,2] => [3,1,3,1] => [3,3,1,1] => 4
[3,4,1,8,5,6,7,2] => [3,4,1] => [4,3,1] => 3
[2,4,6,8,10,1,3,5,7,9] => [10] => [10] => 1
[2,4,6,9,10,1,3,5,7,8] => [10] => [10] => 1
[2,4,7,8,10,1,3,5,6,9] => [10] => [10] => 1
[2,4,7,9,10,1,3,5,6,8] => [10] => [10] => 1
[2,4,8,9,10,1,3,5,6,7] => [10] => [10] => 1
[2,5,6,8,10,1,3,4,7,9] => [10] => [10] => 1
[2,5,6,9,10,1,3,4,7,8] => [10] => [10] => 1
[2,5,7,8,10,1,3,4,6,9] => [10] => [10] => 1
[2,5,7,9,10,1,3,4,6,8] => [10] => [10] => 1
[2,5,8,9,10,1,3,4,6,7] => [10] => [10] => 1
[2,6,7,8,10,1,3,4,5,9] => [10] => [10] => 1
[2,6,7,9,10,1,3,4,5,8] => [10] => [10] => 1
[2,6,8,9,10,1,3,4,5,7] => [10] => [10] => 1
[2,7,8,9,10,1,3,4,5,6] => [10] => [10] => 1
[3,4,6,8,10,1,2,5,7,9] => [10] => [10] => 1
[3,4,6,9,10,1,2,5,7,8] => [10] => [10] => 1
[3,4,7,8,10,1,2,5,6,9] => [10] => [10] => 1
[3,4,7,9,10,1,2,5,6,8] => [10] => [10] => 1
[3,4,8,9,10,1,2,5,6,7] => [10] => [10] => 1
[3,5,6,8,10,1,2,4,7,9] => [10] => [10] => 1
[3,5,6,9,10,1,2,4,7,8] => [10] => [10] => 1
[3,5,7,8,10,1,2,4,6,9] => [10] => [10] => 1
[3,5,7,9,10,1,2,4,6,8] => [10] => [10] => 1
[3,5,8,9,10,1,2,4,6,7] => [10] => [10] => 1
[3,6,7,8,10,1,2,4,5,9] => [10] => [10] => 1
[3,6,7,9,10,1,2,4,5,8] => [10] => [10] => 1
[3,6,8,9,10,1,2,4,5,7] => [10] => [10] => 1
[3,7,8,9,10,1,2,4,5,6] => [10] => [10] => 1
[4,5,6,8,10,1,2,3,7,9] => [10] => [10] => 1
[4,5,6,9,10,1,2,3,7,8] => [10] => [10] => 1
[4,5,7,8,10,1,2,3,6,9] => [10] => [10] => 1
[4,5,7,9,10,1,2,3,6,8] => [10] => [10] => 1
[4,5,8,9,10,1,2,3,6,7] => [10] => [10] => 1
[4,6,7,8,10,1,2,3,5,9] => [10] => [10] => 1
[4,6,7,9,10,1,2,3,5,8] => [10] => [10] => 1
[4,6,8,9,10,1,2,3,5,7] => [10] => [10] => 1
[4,7,8,9,10,1,2,3,5,6] => [10] => [10] => 1
[5,6,7,8,10,1,2,3,4,9] => [10] => [10] => 1
[5,6,7,9,10,1,2,3,4,8] => [10] => [10] => 1
[5,6,8,9,10,1,2,3,4,7] => [10] => [10] => 1
[5,7,8,9,10,1,2,3,4,6] => [10] => [10] => 1
[2,4,6,8,10,12,1,3,5,7,9,11] => [12] => [12] => 1
[2,4,6,8,11,12,1,3,5,7,9,10] => [12] => [12] => 1
[2,4,6,9,10,12,1,3,5,7,8,11] => [12] => [12] => 1
[2,4,6,9,11,12,1,3,5,7,8,10] => [12] => [12] => 1
[2,4,6,10,11,12,1,3,5,7,8,9] => [12] => [12] => 1
[2,4,7,8,10,12,1,3,5,6,9,11] => [12] => [12] => 1
[2,4,7,8,11,12,1,3,5,6,9,10] => [12] => [12] => 1
[2,4,7,9,10,12,1,3,5,6,8,11] => [12] => [12] => 1
[2,4,7,9,11,12,1,3,5,6,8,10] => [12] => [12] => 1
[2,4,7,10,11,12,1,3,5,6,8,9] => [12] => [12] => 1
[2,4,8,9,10,12,1,3,5,6,7,11] => [12] => [12] => 1
[2,4,8,9,11,12,1,3,5,6,7,10] => [12] => [12] => 1
[2,4,8,10,11,12,1,3,5,6,7,9] => [12] => [12] => 1
[2,4,9,10,11,12,1,3,5,6,7,8] => [12] => [12] => 1
[2,5,6,8,10,12,1,3,4,7,9,11] => [12] => [12] => 1
[2,5,6,8,11,12,1,3,4,7,9,10] => [12] => [12] => 1
[2,5,6,9,10,12,1,3,4,7,8,11] => [12] => [12] => 1
[2,5,6,9,11,12,1,3,4,7,8,10] => [12] => [12] => 1
[2,5,6,10,11,12,1,3,4,7,8,9] => [12] => [12] => 1
[2,5,7,8,10,12,1,3,4,6,9,11] => [12] => [12] => 1
[2,5,7,8,11,12,1,3,4,6,9,10] => [12] => [12] => 1
[2,5,7,9,10,12,1,3,4,6,8,11] => [12] => [12] => 1
[2,5,7,9,11,12,1,3,4,6,8,10] => [12] => [12] => 1
[2,5,7,10,11,12,1,3,4,6,8,9] => [12] => [12] => 1
[2,5,8,9,10,12,1,3,4,6,7,11] => [12] => [12] => 1
[2,5,8,9,11,12,1,3,4,6,7,10] => [12] => [12] => 1
[2,5,8,10,11,12,1,3,4,6,7,9] => [12] => [12] => 1
[2,5,9,10,11,12,1,3,4,6,7,8] => [12] => [12] => 1
[2,6,7,8,10,12,1,3,4,5,9,11] => [12] => [12] => 1
[2,6,7,8,11,12,1,3,4,5,9,10] => [12] => [12] => 1
[2,6,7,9,10,12,1,3,4,5,8,11] => [12] => [12] => 1
[2,6,7,9,11,12,1,3,4,5,8,10] => [12] => [12] => 1
[2,6,7,10,11,12,1,3,4,5,8,9] => [12] => [12] => 1
[2,6,8,9,10,12,1,3,4,5,7,11] => [12] => [12] => 1
[2,6,8,9,11,12,1,3,4,5,7,10] => [12] => [12] => 1
[2,6,8,10,11,12,1,3,4,5,7,9] => [12] => [12] => 1
[2,6,9,10,11,12,1,3,4,5,7,8] => [12] => [12] => 1
[2,7,8,9,10,12,1,3,4,5,6,11] => [12] => [12] => 1
[2,7,8,9,11,12,1,3,4,5,6,10] => [12] => [12] => 1
[2,7,8,10,11,12,1,3,4,5,6,9] => [12] => [12] => 1
[2,7,9,10,11,12,1,3,4,5,6,8] => [12] => [12] => 1
[2,8,9,10,11,12,1,3,4,5,6,7] => [12] => [12] => 1
[3,4,6,8,10,12,1,2,5,7,9,11] => [12] => [12] => 1
[3,4,6,8,11,12,1,2,5,7,9,10] => [12] => [12] => 1
[3,4,6,9,10,12,1,2,5,7,8,11] => [12] => [12] => 1
[3,4,6,9,11,12,1,2,5,7,8,10] => [12] => [12] => 1
[3,4,6,10,11,12,1,2,5,7,8,9] => [12] => [12] => 1
[3,4,7,8,10,12,1,2,5,6,9,11] => [12] => [12] => 1
[3,4,7,8,11,12,1,2,5,6,9,10] => [12] => [12] => 1
[3,4,7,9,10,12,1,2,5,6,8,11] => [12] => [12] => 1
[3,4,7,9,11,12,1,2,5,6,8,10] => [12] => [12] => 1
[3,4,7,10,11,12,1,2,5,6,8,9] => [12] => [12] => 1
[3,4,8,9,10,12,1,2,5,6,7,11] => [12] => [12] => 1
[3,4,8,9,11,12,1,2,5,6,7,10] => [12] => [12] => 1
[3,4,8,10,11,12,1,2,5,6,7,9] => [12] => [12] => 1
[3,4,9,10,11,12,1,2,5,6,7,8] => [12] => [12] => 1
[3,5,6,8,10,12,1,2,4,7,9,11] => [12] => [12] => 1
[3,5,6,8,11,12,1,2,4,7,9,10] => [12] => [12] => 1
[3,5,6,9,10,12,1,2,4,7,8,11] => [12] => [12] => 1
[3,5,6,9,11,12,1,2,4,7,8,10] => [12] => [12] => 1
[3,5,6,10,11,12,1,2,4,7,8,9] => [12] => [12] => 1
[3,5,7,8,10,12,1,2,4,6,9,11] => [12] => [12] => 1
[3,5,7,8,11,12,1,2,4,6,9,10] => [12] => [12] => 1
[3,5,7,9,10,12,1,2,4,6,8,11] => [12] => [12] => 1
[3,5,7,9,11,12,1,2,4,6,8,10] => [12] => [12] => 1
[3,5,7,10,11,12,1,2,4,6,8,9] => [12] => [12] => 1
[3,5,8,9,10,12,1,2,4,6,7,11] => [12] => [12] => 1
[3,5,8,9,11,12,1,2,4,6,7,10] => [12] => [12] => 1
[3,5,8,10,11,12,1,2,4,6,7,9] => [12] => [12] => 1
[3,5,9,10,11,12,1,2,4,6,7,8] => [12] => [12] => 1
[3,6,7,8,10,12,1,2,4,5,9,11] => [12] => [12] => 1
[3,6,7,8,11,12,1,2,4,5,9,10] => [12] => [12] => 1
[3,6,7,9,10,12,1,2,4,5,8,11] => [12] => [12] => 1
[3,6,7,9,11,12,1,2,4,5,8,10] => [12] => [12] => 1
[3,6,7,10,11,12,1,2,4,5,8,9] => [12] => [12] => 1
[3,6,8,9,10,12,1,2,4,5,7,11] => [12] => [12] => 1
[3,6,8,9,11,12,1,2,4,5,7,10] => [12] => [12] => 1
[3,6,8,10,11,12,1,2,4,5,7,9] => [12] => [12] => 1
[3,6,9,10,11,12,1,2,4,5,7,8] => [12] => [12] => 1
[3,7,8,9,10,12,1,2,4,5,6,11] => [12] => [12] => 1
[3,7,8,9,11,12,1,2,4,5,6,10] => [12] => [12] => 1
[3,7,8,10,11,12,1,2,4,5,6,9] => [12] => [12] => 1
[3,7,9,10,11,12,1,2,4,5,6,8] => [12] => [12] => 1
[3,8,9,10,11,12,1,2,4,5,6,7] => [12] => [12] => 1
[4,5,6,8,10,12,1,2,3,7,9,11] => [12] => [12] => 1
[4,5,6,8,11,12,1,2,3,7,9,10] => [12] => [12] => 1
[4,5,6,9,10,12,1,2,3,7,8,11] => [12] => [12] => 1
[4,5,6,9,11,12,1,2,3,7,8,10] => [12] => [12] => 1
[4,5,6,10,11,12,1,2,3,7,8,9] => [12] => [12] => 1
[4,5,7,8,10,12,1,2,3,6,9,11] => [12] => [12] => 1
[4,5,7,8,11,12,1,2,3,6,9,10] => [12] => [12] => 1
[4,5,7,9,10,12,1,2,3,6,8,11] => [12] => [12] => 1
[4,5,7,9,11,12,1,2,3,6,8,10] => [12] => [12] => 1
[4,5,7,10,11,12,1,2,3,6,8,9] => [12] => [12] => 1
[4,5,8,9,10,12,1,2,3,6,7,11] => [12] => [12] => 1
[4,5,8,9,11,12,1,2,3,6,7,10] => [12] => [12] => 1
[4,5,8,10,11,12,1,2,3,6,7,9] => [12] => [12] => 1
[4,5,9,10,11,12,1,2,3,6,7,8] => [12] => [12] => 1
[4,6,7,8,10,12,1,2,3,5,9,11] => [12] => [12] => 1
[4,6,7,8,11,12,1,2,3,5,9,10] => [12] => [12] => 1
[4,6,7,9,10,12,1,2,3,5,8,11] => [12] => [12] => 1
[4,6,7,9,11,12,1,2,3,5,8,10] => [12] => [12] => 1
[4,6,7,10,11,12,1,2,3,5,8,9] => [12] => [12] => 1
[4,6,8,9,10,12,1,2,3,5,7,11] => [12] => [12] => 1
[4,6,8,9,11,12,1,2,3,5,7,10] => [12] => [12] => 1
[4,6,8,10,11,12,1,2,3,5,7,9] => [12] => [12] => 1
[4,6,9,10,11,12,1,2,3,5,7,8] => [12] => [12] => 1
[4,7,8,9,10,12,1,2,3,5,6,11] => [12] => [12] => 1
[4,7,8,9,11,12,1,2,3,5,6,10] => [12] => [12] => 1
[4,7,8,10,11,12,1,2,3,5,6,9] => [12] => [12] => 1
[4,7,9,10,11,12,1,2,3,5,6,8] => [12] => [12] => 1
[4,8,9,10,11,12,1,2,3,5,6,7] => [12] => [12] => 1
[5,6,7,8,10,12,1,2,3,4,9,11] => [12] => [12] => 1
[5,6,7,8,11,12,1,2,3,4,9,10] => [12] => [12] => 1
[5,6,7,9,10,12,1,2,3,4,8,11] => [12] => [12] => 1
[5,6,7,9,11,12,1,2,3,4,8,10] => [12] => [12] => 1
[5,6,7,10,11,12,1,2,3,4,8,9] => [12] => [12] => 1
[5,6,8,9,10,12,1,2,3,4,7,11] => [12] => [12] => 1
[5,6,8,9,11,12,1,2,3,4,7,10] => [12] => [12] => 1
[5,6,8,10,11,12,1,2,3,4,7,9] => [12] => [12] => 1
[5,6,9,10,11,12,1,2,3,4,7,8] => [12] => [12] => 1
[5,7,8,9,10,12,1,2,3,4,6,11] => [12] => [12] => 1
[5,7,8,9,11,12,1,2,3,4,6,10] => [12] => [12] => 1
[5,7,8,10,11,12,1,2,3,4,6,9] => [12] => [12] => 1
[5,7,9,10,11,12,1,2,3,4,6,8] => [12] => [12] => 1
[5,8,9,10,11,12,1,2,3,4,6,7] => [12] => [12] => 1
[6,7,8,9,10,12,1,2,3,4,5,11] => [12] => [12] => 1
[6,7,8,9,11,12,1,2,3,4,5,10] => [12] => [12] => 1
[6,7,8,10,11,12,1,2,3,4,5,9] => [12] => [12] => 1
[6,7,9,10,11,12,1,2,3,4,5,8] => [12] => [12] => 1
[6,8,9,10,11,12,1,2,3,4,5,7] => [12] => [12] => 1
[7,8,9,10,11,12,1,2,3,4,5,6] => [12] => [12] => 1
[4,5,7,6,2,3,8,1] => [3,3,2] => [3,3,2] => 3
[3,5,7,2,6,4,8,1] => [4,2,2] => [4,2,2] => 3
[2,5,7,3,6,4,8,1] => [4,2,2] => [4,2,2] => 3
[1,5,7,3,6,8,4,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,4,3,7,6,1,5,2] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[6,7,2,3,5,4,8,1] => [5,1,2] => [5,2,1] => 3
[5,2,7,3,6,4,8,1] => [2,2,2,2] => [2,2,2,2] => 4
[8,3,4,7,6,1,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[8,2,4,7,1,6,5,3] => [2,4,1,1] => [4,2,1,1] => 4
[3,1,4,7,6,8,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[4,1,3,7,6,8,5,2] => [3,1,3,1] => [3,3,1,1] => 4
[5,1,7,3,6,8,4,2] => [2,2,3,1] => [3,2,2,1] => 4
[6,7,1,3,5,8,4,2] => [5,2,1] => [5,2,1] => 3
[5,8,7,3,6,1,4,2] => [2,2,3,1] => [3,2,2,1] => 4
[4,8,3,7,6,1,5,2] => [3,1,3,1] => [3,3,1,1] => 4
[3,8,4,7,6,1,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[2,8,4,7,1,6,5,3] => [2,4,1,1] => [4,2,1,1] => 4
[8,1,4,7,2,6,5,3] => [2,4,1,1] => [4,2,1,1] => 4
[8,1,3,2,7,6,5,4] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[2,8,3,1,7,6,5,4] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[3,8,2,1,7,6,5,4] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[6,7,1,2,8,5,4,3] => [4,2,1,1] => [4,2,1,1] => 4
[8,2,3,1,7,6,5,4] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[8,3,2,1,7,6,5,4] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[3,4,1,7,6,8,5,2] => [3,1,3,1] => [3,3,1,1] => 4
[1,4,2,7,8,6,5,3] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[8,4,2,7,1,6,5,3] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[8,5,7,2,1,6,4,3] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[1,5,7,2,8,6,4,3] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[2,5,7,1,8,6,4,3] => [4,2,1,1] => [4,2,1,1] => 4
[3,5,7,1,6,8,4,2] => [4,3,1] => [4,3,1] => 3
[6,7,4,5,8,1,3,2] => [2,5,1] => [5,2,1] => 3
[5,4,7,6,8,1,3,2] => [1,2,4,1] => [4,2,1,1] => 4
[2,5,7,8,1,6,4,3] => [6,1,1] => [6,1,1] => 3
[1,5,7,8,2,6,4,3] => [1,5,1,1] => [5,1,1,1] => 4
[8,5,7,1,2,6,4,3] => [1,5,1,1] => [5,1,1,1] => 4
[8,4,1,7,2,6,5,3] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[1,4,8,7,2,6,5,3] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[3,4,8,7,6,1,5,2] => [3,1,3,1] => [3,3,1,1] => 4
[4,3,8,7,6,1,5,2] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[5,3,7,8,6,1,4,2] => [1,3,3,1] => [3,3,1,1] => 4
[6,7,2,8,1,5,4,3] => [3,3,1,1] => [3,3,1,1] => 4
[5,2,7,8,1,6,4,3] => [2,4,1,1] => [4,2,1,1] => 4
[4,2,8,7,1,6,5,3] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[3,2,8,1,7,6,5,4] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[1,3,8,2,7,6,5,4] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[8,3,1,2,7,6,5,4] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[8,2,1,3,7,6,5,4] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[1,2,8,3,7,6,5,4] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[2,1,8,3,7,6,5,4] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[4,1,8,7,2,6,5,3] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[5,1,7,8,2,6,4,3] => [2,4,1,1] => [4,2,1,1] => 4
[6,7,1,8,2,5,4,3] => [3,3,1,1] => [3,3,1,1] => 4
[5,8,7,1,2,6,4,3] => [2,4,1,1] => [4,2,1,1] => 4
[4,8,1,7,2,6,5,3] => [3,3,1,1] => [3,3,1,1] => 4
[3,8,1,2,7,6,5,4] => [4,2,1,1] => [4,2,1,1] => 4
[2,8,1,3,7,6,5,4] => [4,2,1,1] => [4,2,1,1] => 4
[1,8,2,3,7,6,5,4] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[8,1,2,3,7,6,5,4] => [4,2,1,1] => [4,2,1,1] => 4
[3,1,4,5,6,7,8,9,10,2] => [2,8] => [8,2] => 2
[2,3,4,5,6,7,8,9,11,1,10] => [11] => [11] => 1
[10,3,4,5,6,7,8,1,2,9] => [1,9] => [9,1] => 2
[10,1,4,5,6,7,8,9,2,3] => [2,8] => [8,2] => 2
[3,1,4,5,6,7,8,9,10,11,2] => [2,9] => [9,2] => 2
[2,3,4,5,6,7,8,9,10,12,1,11] => [12] => [12] => 1
[11,3,4,5,6,7,8,9,1,2,10] => [1,10] => [10,1] => 2
[2,10,4,5,6,7,8,1,3,9] => [2,8] => [8,2] => 2
[8,3,4,5,6,7,1,10,2,9] => [1,6,3] => [6,3,1] => 3
[3,1,10,5,6,7,8,9,2,4] => [2,1,7] => [7,2,1] => 3
[9,1,4,5,6,7,8,2,10,3] => [2,6,2] => [6,2,2] => 3
[11,1,4,5,6,7,8,9,10,2,3] => [2,9] => [9,2] => 2
[6,7,1,8,4,5,2,3] => [3,3,2] => [3,3,2] => 3
[3,7,1,5,8,2,6,4] => [3,4,1] => [4,3,1] => 3
[2,7,1,5,8,3,6,4] => [3,4,1] => [4,3,1] => 3
[2,6,5,1,8,3,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[3,6,5,1,8,2,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[4,6,5,1,8,7,2,3] => [2,2,1,3] => [3,2,2,1] => 4
[5,6,4,1,8,7,2,3] => [2,2,1,3] => [3,2,2,1] => 4
[8,1,4,5,7,6,2,3] => [2,4,2] => [4,2,2] => 3
[6,4,5,1,8,7,2,3] => [1,3,1,3] => [3,3,1,1] => 4
[5,4,6,1,8,7,2,3] => [1,3,1,3] => [3,3,1,1] => 4
[4,5,6,1,8,7,2,3] => [4,1,3] => [4,3,1] => 3
[3,5,6,1,8,2,7,4] => [4,3,1] => [4,3,1] => 3
[2,5,6,1,8,3,7,4] => [4,3,1] => [4,3,1] => 3
[2,4,6,1,3,8,7,5] => [5,2,1] => [5,2,1] => 3
[3,4,6,1,2,8,7,5] => [5,2,1] => [5,2,1] => 3
[4,3,6,1,2,8,7,5] => [1,4,2,1] => [4,2,1,1] => 4
[5,3,6,1,8,2,7,4] => [1,3,3,1] => [3,3,1,1] => 4
[7,3,1,5,8,2,6,4] => [1,2,4,1] => [4,2,1,1] => 4
[8,1,3,5,7,2,6,4] => [3,4,1] => [4,3,1] => 3
[8,1,2,5,7,3,6,4] => [3,4,1] => [4,3,1] => 3
[7,2,1,5,8,3,6,4] => [2,1,4,1] => [4,2,1,1] => 4
[6,2,5,1,8,3,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[4,2,6,1,3,8,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[2,3,6,1,4,8,7,5] => [5,2,1] => [5,2,1] => 3
[4,2,5,3,1,8,7,6] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[6,2,4,1,3,8,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[7,2,1,4,3,8,6,5] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[8,1,2,4,3,7,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[8,1,3,4,2,7,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[7,3,1,4,2,8,6,5] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[6,3,4,1,2,8,7,5] => [1,4,2,1] => [4,2,1,1] => 4
[4,6,3,1,2,8,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[3,6,4,1,2,8,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[2,6,4,1,3,8,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[2,7,1,4,3,8,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[3,7,1,4,2,8,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[4,7,1,3,2,8,6,5] => [4,1,2,1] => [4,2,1,1] => 4
[8,1,6,7,2,3,5,4] => [2,5,1] => [5,2,1] => 3
[4,7,1,2,3,8,6,5] => [5,2,1] => [5,2,1] => 3
[3,7,1,2,4,8,6,5] => [5,2,1] => [5,2,1] => 3
[2,7,1,3,4,8,6,5] => [5,2,1] => [5,2,1] => 3
[2,6,3,1,4,8,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[3,6,2,1,4,8,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[5,6,2,1,8,3,7,4] => [3,1,3,1] => [3,3,1,1] => 4
[6,5,2,1,8,3,7,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[8,1,5,2,7,3,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,1,4,2,3,7,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[7,4,1,2,3,8,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[6,4,2,1,3,8,7,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,4,2,3,1,8,7,6] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[3,5,2,4,1,8,7,6] => [4,1,2,1] => [4,2,1,1] => 4
[6,3,2,1,4,8,7,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[7,3,1,2,4,8,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[8,1,3,2,4,7,6,5] => [3,2,2,1] => [3,2,2,1] => 4
[8,1,2,3,4,7,6,5] => [5,2,1] => [5,2,1] => 3
[7,2,1,3,4,8,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[6,2,3,1,4,8,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[2,4,3,6,1,5,8,7] => [3,3,2] => [3,3,2] => 3
[2,4,3,6,5,8,1,7] => [3,2,3] => [3,3,2] => 3
[2,4,6,3,5,8,7,1] => [5,2,1] => [5,2,1] => 3
[2,4,6,3,5,8,1,7] => [5,3] => [5,3] => 2
[2,4,6,3,5,1,8,7] => [5,1,2] => [5,2,1] => 3
[2,4,6,3,1,5,8,7] => [4,2,2] => [4,2,2] => 3
[2,4,1,6,5,3,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[2,4,6,1,5,3,8,7] => [5,1,2] => [5,2,1] => 3
[4,2,6,5,3,1,8,7] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[4,2,6,5,1,3,8,7] => [2,1,3,2] => [3,2,2,1] => 4
[4,2,6,5,1,8,7,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[4,2,6,5,8,1,7,3] => [2,1,4,1] => [4,2,1,1] => 4
[4,2,6,5,8,1,3,7] => [2,1,5] => [5,2,1] => 3
[4,2,6,5,8,3,1,7] => [2,1,3,2] => [3,2,2,1] => 4
[2,4,6,1,5,8,3,7] => [5,3] => [5,3] => 2
[2,4,1,6,5,8,3,7] => [3,2,3] => [3,3,2] => 3
[2,1,4,6,5,8,3,7] => [2,3,3] => [3,3,2] => 3
[2,4,1,6,5,8,7,3] => [3,2,2,1] => [3,2,2,1] => 4
[2,4,6,1,5,8,7,3] => [5,2,1] => [5,2,1] => 3
[4,2,6,5,3,8,7,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[4,2,6,5,8,3,7,1] => [2,1,4,1] => [4,2,1,1] => 4
[2,6,4,3,8,7,1,5] => [2,2,1,3] => [3,2,2,1] => 4
[2,6,4,3,8,7,5,1] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[4,2,6,8,5,3,7,1] => [2,3,2,1] => [3,2,2,1] => 4
[2,4,6,8,1,5,7,3] => [7,1] => [7,1] => 2
[2,4,6,1,8,5,7,3] => [4,3,1] => [4,3,1] => 3
[2,4,1,6,8,5,7,3] => [3,4,1] => [4,3,1] => 3
[2,1,4,6,8,5,7,3] => [2,5,1] => [5,2,1] => 3
[2,1,4,6,8,5,3,7] => [2,4,2] => [4,2,2] => 3
[2,4,1,6,8,5,3,7] => [3,3,2] => [3,3,2] => 3
[2,4,6,1,8,5,3,7] => [4,2,2] => [4,2,2] => 3
[2,4,6,8,1,5,3,7] => [6,2] => [6,2] => 2
[4,2,6,8,5,3,1,7] => [2,3,1,2] => [3,2,2,1] => 4
[4,2,6,8,5,1,3,7] => [2,3,3] => [3,3,2] => 3
[4,2,6,8,5,1,7,3] => [2,3,2,1] => [3,2,2,1] => 4
[2,4,6,8,3,5,7,1] => [7,1] => [7,1] => 2
[2,4,6,8,3,5,1,7] => [6,2] => [6,2] => 2
[2,4,6,8,3,1,5,7] => [5,3] => [5,3] => 2
[2,4,6,3,1,8,5,7] => [4,1,3] => [4,3,1] => 3
[2,4,6,3,8,1,5,7] => [4,4] => [4,4] => 2
[2,4,6,3,8,5,1,7] => [4,2,2] => [4,2,2] => 3
[2,4,6,3,8,5,7,1] => [4,3,1] => [4,3,1] => 3
[2,4,3,6,8,5,7,1] => [3,4,1] => [4,3,1] => 3
[2,4,3,6,8,5,1,7] => [3,3,2] => [3,3,2] => 3
[2,4,3,6,8,1,5,7] => [3,5] => [5,3] => 2
[2,4,3,6,1,8,5,7] => [3,2,3] => [3,3,2] => 3
[2,4,3,1,6,8,5,7] => [3,1,4] => [4,3,1] => 3
[2,4,1,3,6,8,7,5] => [4,3,1] => [4,3,1] => 3
[2,4,3,6,1,8,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[2,4,3,6,8,1,7,5] => [3,4,1] => [4,3,1] => 3
[4,6,5,2,8,7,3,1] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[4,6,5,2,8,7,1,3] => [2,2,1,3] => [3,2,2,1] => 4
[4,6,2,5,8,7,1,3] => [3,2,3] => [3,3,2] => 3
[4,6,2,5,8,7,3,1] => [3,2,2,1] => [3,2,2,1] => 4
[2,4,6,3,8,1,7,5] => [4,3,1] => [4,3,1] => 3
[2,4,6,3,1,8,7,5] => [4,1,2,1] => [4,2,1,1] => 4
[2,4,1,6,3,8,7,5] => [3,2,2,1] => [3,2,2,1] => 4
[2,1,4,6,3,8,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[2,1,4,6,8,3,7,5] => [2,5,1] => [5,2,1] => 3
[2,4,1,6,8,3,7,5] => [3,4,1] => [4,3,1] => 3
[2,4,6,1,8,3,7,5] => [4,3,1] => [4,3,1] => 3
[2,4,6,8,1,3,7,5] => [7,1] => [7,1] => 2
[2,4,6,8,3,1,7,5] => [5,2,1] => [5,2,1] => 3
[4,6,2,8,5,7,3,1] => [3,2,2,1] => [3,2,2,1] => 4
[4,6,2,8,5,7,1,3] => [3,2,3] => [3,3,2] => 3
[6,2,4,8,7,1,3,5] => [2,2,4] => [4,2,2] => 3
[6,4,2,8,7,5,3,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[2,6,4,8,1,7,5,3] => [2,3,2,1] => [3,2,2,1] => 4
[2,6,4,1,8,7,5,3] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[2,6,1,4,8,7,5,3] => [4,1,2,1] => [4,2,1,1] => 4
[2,1,6,4,8,7,5,3] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[2,1,6,4,8,7,3,5] => [2,2,1,3] => [3,2,2,1] => 4
[2,6,1,4,8,7,3,5] => [4,1,3] => [4,3,1] => 3
[2,6,4,1,8,7,3,5] => [2,2,1,3] => [3,2,2,1] => 4
[2,6,4,8,1,7,3,5] => [2,3,3] => [3,3,2] => 3
[6,4,2,8,7,5,1,3] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[6,2,4,8,7,3,5,1] => [2,2,3,1] => [3,2,2,1] => 4
[6,2,4,8,7,3,1,5] => [2,2,2,2] => [2,2,2,2] => 4
[1,6,4,7,3,8,2,5] => [1,1,3,3] => [3,3,1,1] => 4
[1,3,7,4,5,8,2,6] => [1,4,3] => [4,3,1] => 3
[5,2,4,7,3,6,8,1] => [2,4,2] => [4,2,2] => 3
[1,7,6,3,4,8,2,5] => [1,1,3,3] => [3,3,1,1] => 4
[8,1,6,3,7,2,4,5] => [2,2,4] => [4,2,2] => 3
[7,1,6,3,8,2,4,5] => [2,2,4] => [4,2,2] => 3
[1,2,7,4,8,3,5,6] => [2,2,4] => [4,2,2] => 3
[6,1,7,3,4,8,2,5] => [2,3,3] => [3,3,2] => 3
[2,1,7,4,5,8,3,6] => [2,3,3] => [3,3,2] => 3
[5,1,4,7,3,8,2,6] => [2,3,3] => [3,3,2] => 3
[4,3,1,7,5,8,2,6] => [1,2,2,3] => [3,2,2,1] => 4
[2,8,6,3,7,1,4,5] => [2,2,4] => [4,2,2] => 3
[6,8,1,3,7,2,4,5] => [4,4] => [4,4] => 2
[5,8,2,1,7,3,4,6] => [3,1,4] => [4,3,1] => 3
[5,7,2,1,8,3,4,6] => [3,1,4] => [4,3,1] => 3
[6,7,1,3,8,2,4,5] => [4,4] => [4,4] => 2
[5,1,2,4,8,3,6,7] => [4,4] => [4,4] => 2
[4,3,6,1,5,8,2,7] => [1,4,3] => [4,3,1] => 3
[2,6,1,4,5,8,3,7] => [5,3] => [5,3] => 2
[6,5,1,3,4,8,2,7] => [1,4,3] => [4,3,1] => 3
[1,6,2,4,8,3,5,7] => [1,3,4] => [4,3,1] => 3
[8,5,1,3,7,2,4,6] => [1,3,4] => [4,3,1] => 3
[1,5,3,2,8,4,6,7] => [1,2,1,4] => [4,2,1,1] => 4
[6,4,2,1,5,8,3,7] => [1,2,2,3] => [3,2,2,1] => 4
[2,5,3,4,1,8,6,7] => [4,1,3] => [4,3,1] => 3
[4,3,5,2,1,8,6,7] => [1,3,1,3] => [3,3,1,1] => 4
[2,6,4,8,7,1,3,5] => [2,2,4] => [4,2,2] => 3
[1,6,4,8,7,2,3,5] => [1,1,2,4] => [4,2,1,1] => 4
[2,7,8,3,6,1,4,5] => [4,4] => [4,4] => 2
[4,3,2,8,7,1,5,6] => [1,2,1,4] => [4,2,1,1] => 4
[5,2,4,8,7,1,3,6] => [2,2,4] => [4,2,2] => 3
[6,2,8,3,7,1,4,5] => [2,2,4] => [4,2,2] => 3
[5,1,4,8,7,2,3,6] => [2,2,4] => [4,2,2] => 3
[4,8,2,5,1,3,7,6] => [3,4,1] => [4,3,1] => 3
[4,7,2,5,1,3,8,6] => [3,3,2] => [3,3,2] => 3
[3,7,2,1,5,4,8,6] => [3,2,1,2] => [3,2,2,1] => 4
[3,8,2,1,5,4,7,6] => [3,2,2,1] => [3,2,2,1] => 4
[8,3,2,1,5,4,6,7] => [1,2,2,3] => [3,2,2,1] => 4
[8,3,2,1,6,4,5,7] => [1,2,1,4] => [4,2,1,1] => 4
[8,4,2,5,1,6,3,7] => [1,2,3,2] => [3,2,2,1] => 4
[8,3,2,1,5,6,4,7] => [1,2,3,2] => [3,2,2,1] => 4
[8,3,2,1,4,6,5,7] => [1,2,3,2] => [3,2,2,1] => 4
[3,8,2,1,4,5,7,6] => [3,4,1] => [4,3,1] => 3
[3,7,2,1,4,5,8,6] => [3,3,2] => [3,3,2] => 3
[3,2,7,1,4,6,8,5] => [2,4,2] => [4,2,2] => 3
[3,2,8,1,4,6,7,5] => [2,5,1] => [5,2,1] => 3
[3,2,8,1,4,7,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[3,8,2,1,4,7,5,6] => [3,2,3] => [3,3,2] => 3
[3,8,2,1,5,7,4,6] => [3,2,3] => [3,3,2] => 3
[4,8,2,5,1,7,3,6] => [3,2,3] => [3,3,2] => 3
[4,7,2,5,1,8,3,6] => [3,2,3] => [3,3,2] => 3
[3,7,2,1,5,8,4,6] => [3,2,3] => [3,3,2] => 3
[3,7,2,1,4,8,5,6] => [3,2,3] => [3,3,2] => 3
[3,2,1,7,5,8,6,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[3,2,7,1,6,8,4,5] => [2,2,4] => [4,2,2] => 3
[4,2,7,6,1,8,3,5] => [2,1,2,3] => [3,2,2,1] => 4
[4,3,7,6,8,1,2,5] => [1,2,5] => [5,2,1] => 3
[4,3,8,6,7,1,2,5] => [1,2,5] => [5,2,1] => 3
[4,2,8,6,1,7,3,5] => [2,1,2,3] => [3,2,2,1] => 4
[3,2,8,1,6,7,4,5] => [2,2,4] => [4,2,2] => 3
[3,2,1,8,7,5,6,4] => [2,1,1,3,1] => [3,2,1,1,1] => 5
[3,8,2,1,7,4,5,6] => [3,1,4] => [4,3,1] => 3
[3,2,8,1,7,4,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,8,1,6,4,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,7,1,6,4,8,5] => [2,2,2,2] => [2,2,2,2] => 4
[4,2,7,6,1,3,8,5] => [2,1,3,2] => [3,2,2,1] => 4
[4,2,8,6,1,3,7,5] => [2,1,4,1] => [4,2,1,1] => 4
[4,2,8,7,1,3,6,5] => [2,1,4,1] => [4,2,1,1] => 4
[5,7,8,3,4,1,2,6] => [5,3] => [5,3] => 2
[4,2,7,8,1,3,6,5] => [2,5,1] => [5,2,1] => 3
[4,2,6,8,1,3,7,5] => [2,5,1] => [5,2,1] => 3
[4,2,6,7,1,3,8,5] => [2,4,2] => [4,2,2] => 3
[3,2,6,1,8,4,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,7,2,1,8,4,5,6] => [3,1,4] => [4,3,1] => 3
[3,7,2,1,8,5,4,6] => [3,1,2,2] => [3,2,2,1] => 4
[4,7,3,8,5,1,2,6] => [3,2,3] => [3,3,2] => 3
[4,3,7,8,6,1,2,5] => [1,3,4] => [4,3,1] => 3
[3,2,7,1,8,6,4,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,2,1,6,8,5,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[3,2,6,1,8,7,4,5] => [2,2,1,3] => [3,2,2,1] => 4
[4,2,6,8,1,7,3,5] => [2,3,3] => [3,3,2] => 3
[4,3,6,8,7,1,2,5] => [1,3,4] => [4,3,1] => 3
[4,2,6,7,1,8,3,5] => [2,3,3] => [3,3,2] => 3
[3,2,6,1,7,8,4,5] => [2,2,4] => [4,2,2] => 3
[3,4,6,8,7,5,1,2] => [4,2,2] => [4,2,2] => 3
[5,3,6,4,8,7,1,2] => [1,3,1,3] => [3,3,1,1] => 4
[1,4,6,2,7,8,5,3] => [1,3,3,1] => [3,3,1,1] => 4
[3,1,8,5,4,2,6,7] => [2,1,2,3] => [3,2,2,1] => 4
[1,2,7,5,4,8,6,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[6,3,7,5,4,8,1,2] => [1,2,2,3] => [3,2,2,1] => 4
[7,3,8,5,4,6,1,2] => [1,2,3,2] => [3,2,2,1] => 4
[3,8,7,5,4,6,1,2] => [2,1,3,2] => [3,2,2,1] => 4
[4,3,6,7,8,5,1,2] => [1,5,2] => [5,2,1] => 3
[4,5,6,3,8,7,1,2] => [4,1,3] => [4,3,1] => 3
[3,6,8,5,4,7,1,2] => [3,2,3] => [3,3,2] => 3
[6,8,3,5,4,7,1,2] => [3,2,3] => [3,3,2] => 3
[7,6,3,5,4,8,1,2] => [1,2,2,3] => [3,2,2,1] => 4
[1,6,2,5,4,8,7,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[7,1,2,5,8,3,6,4] => [3,4,1] => [4,3,1] => 3
[1,8,2,5,7,3,6,4] => [1,2,4,1] => [4,2,1,1] => 4
[6,2,1,5,4,8,7,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[4,1,6,2,8,7,5,3] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[7,8,1,2,4,6,5,3] => [6,1,1] => [6,1,1] => 3
[7,8,3,1,4,2,6,5] => [3,2,2,1] => [3,2,2,1] => 4
[4,3,6,1,8,2,7,5] => [1,3,3,1] => [3,3,1,1] => 4
[2,3,8,5,4,1,6,7] => [3,2,3] => [3,3,2] => 3
[4,8,1,5,2,3,7,6] => [3,4,1] => [4,3,1] => 3
[7,5,1,6,4,3,2,8] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[5,8,1,6,4,3,2,7] => [3,2,1,2] => [3,2,2,1] => 4
[6,1,5,7,4,3,2,8] => [2,3,1,2] => [3,2,2,1] => 4
[1,5,8,6,4,3,2,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[3,4,6,1,5,8,2,7] => [5,3] => [5,3] => 2
[7,8,4,1,5,3,2,6] => [2,3,1,2] => [3,2,2,1] => 4
[7,8,5,1,6,3,2,4] => [2,2,2,2] => [2,2,2,2] => 4
[2,6,1,5,7,3,8,4] => [3,3,2] => [3,3,2] => 3
[1,6,8,7,4,3,2,5] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[6,8,1,7,4,3,2,5] => [3,2,1,2] => [3,2,2,1] => 4
[5,6,1,7,4,3,2,8] => [3,2,1,2] => [3,2,2,1] => 4
[5,1,7,6,4,3,2,8] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[6,1,7,8,4,3,2,5] => [2,3,1,2] => [3,2,2,1] => 4
[7,1,8,6,4,3,2,5] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[1,8,7,6,4,3,2,5] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 6
[2,1,7,5,6,3,8,4] => [2,1,3,2] => [3,2,2,1] => 4
[3,1,6,7,5,8,2,4] => [2,3,3] => [3,3,2] => 3
[7,8,1,6,5,3,2,4] => [3,2,1,2] => [3,2,2,1] => 4
[7,8,2,1,4,5,6,3] => [3,4,1] => [4,3,1] => 3
[2,8,1,5,4,6,7,3] => [3,4,1] => [4,3,1] => 3
[7,2,1,5,4,6,8,3] => [2,1,3,2] => [3,2,2,1] => 4
[1,2,8,5,6,3,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[6,1,2,5,7,3,8,4] => [3,3,2] => [3,3,2] => 3
[4,2,1,5,6,3,7,8] => [2,1,5] => [5,2,1] => 3
[4,3,6,1,5,7,2,8] => [1,4,3] => [4,3,1] => 3
[5,1,6,3,7,8,2,4] => [2,2,4] => [4,2,2] => 3
[1,3,6,8,5,7,2,4] => [1,4,3] => [4,3,1] => 3
[2,4,6,3,7,1,8,5] => [4,2,2] => [4,2,2] => 3
[1,3,6,4,8,7,2,5] => [1,3,1,3] => [3,3,1,1] => 4
[4,1,6,7,3,8,2,5] => [2,3,3] => [3,3,2] => 3
[5,4,6,1,3,7,2,8] => [1,4,3] => [4,3,1] => 3
[6,4,1,5,2,3,7,8] => [1,2,5] => [5,2,1] => 3
[4,1,7,5,2,3,8,6] => [2,1,3,2] => [3,2,2,1] => 4
[1,2,4,5,8,3,7,6] => [2,5,1] => [5,2,1] => 3
[7,2,3,5,4,1,8,6] => [3,2,1,2] => [3,2,2,1] => 4
[2,8,3,5,4,1,7,6] => [3,2,2,1] => [3,2,2,1] => 4
[4,2,6,3,8,1,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[7,8,2,3,4,1,6,5] => [5,2,1] => [5,2,1] => 3
[7,8,1,4,6,3,2,5] => [4,2,2] => [4,2,2] => 3
[3,1,6,4,7,8,2,5] => [2,2,4] => [4,2,2] => 3
[1,8,5,7,4,3,2,6] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[7,1,5,8,4,3,2,6] => [2,3,1,2] => [3,2,2,1] => 4
[5,1,8,7,4,3,2,6] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[6,5,1,8,4,3,2,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[6,5,7,1,4,3,2,8] => [1,4,1,2] => [4,2,1,1] => 4
[7,5,8,1,4,3,2,6] => [1,4,1,2] => [4,2,1,1] => 4
[5,8,7,1,4,3,2,6] => [2,3,1,2] => [3,2,2,1] => 4
[1,5,7,8,4,3,2,6] => [1,4,1,2] => [4,2,1,1] => 4
[2,4,7,5,1,3,8,6] => [3,3,2] => [3,3,2] => 3
[7,8,4,6,1,3,2,5] => [2,4,2] => [4,2,2] => 3
[7,8,5,4,1,3,2,6] => [2,2,2,2] => [2,2,2,2] => 4
[3,5,6,4,1,8,2,7] => [4,1,3] => [4,3,1] => 3
[2,6,4,5,1,3,8,7] => [2,4,2] => [4,2,2] => 3
[1,6,5,8,4,3,2,7] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[6,8,5,1,4,3,2,7] => [2,3,1,2] => [3,2,2,1] => 4
[7,6,5,1,4,3,2,8] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[1,2,3,4,5,6,9,7,8] => [6,3] => [6,3] => 2
[1,2,3,4,5,8,6,9,7] => [5,2,2] => [5,2,2] => 3
[1,2,3,4,7,5,8,9,6] => [4,2,3] => [4,3,2] => 3
[1,2,3,6,4,7,8,9,5] => [3,2,4] => [4,3,2] => 3
[1,2,5,3,6,7,8,9,4] => [2,2,5] => [5,2,2] => 3
[1,4,2,5,6,7,8,9,3] => [1,2,6] => [6,2,1] => 3
[9,8,1,2,3,4,5,6,7] => [1,8] => [8,1] => 2
[7,8,9,1,2,3,4,5,6] => [9] => [9] => 1
[9,8,7,1,2,3,4,5,6] => [1,1,7] => [7,1,1] => 3
[6,7,8,9,1,2,3,4,5] => [9] => [9] => 1
[9,6,7,8,1,2,3,4,5] => [1,8] => [8,1] => 2
[8,9,6,7,1,2,3,4,5] => [2,7] => [7,2] => 2
[9,8,6,7,1,2,3,4,5] => [1,1,7] => [7,1,1] => 3
[9,8,7,6,1,2,3,4,5] => [1,1,1,6] => [6,1,1,1] => 4
[9,5,6,7,8,1,2,3,4] => [1,8] => [8,1] => 2
[8,9,5,6,7,1,2,3,4] => [2,7] => [7,2] => 2
[9,8,5,6,7,1,2,3,4] => [1,1,7] => [7,1,1] => 3
[9,7,8,5,6,1,2,3,4] => [1,2,6] => [6,2,1] => 3
[9,8,7,5,6,1,2,3,4] => [1,1,1,6] => [6,1,1,1] => 4
[9,8,7,6,5,1,2,3,4] => [1,1,1,2,4] => [4,2,1,1,1] => 5
[7,8,9,4,5,6,1,2,3] => [6,3] => [6,3] => 2
[9,7,8,4,5,6,1,2,3] => [1,5,3] => [5,3,1] => 3
[9,8,7,4,5,6,1,2,3] => [1,1,4,3] => [4,3,1,1] => 4
[8,9,6,7,4,5,1,2,3] => [2,4,3] => [4,3,2] => 3
[9,8,6,7,4,5,1,2,3] => [1,1,4,3] => [4,3,1,1] => 4
[9,8,7,6,4,5,1,2,3] => [1,1,1,3,3] => [3,3,1,1,1] => 5
[9,8,7,6,5,4,1,2,3] => [1,1,1,2,1,3] => [3,2,1,1,1,1] => 6
[9,7,8,5,6,3,4,1,2] => [1,2,4,2] => [4,2,2,1] => 4
[9,8,7,5,6,3,4,1,2] => [1,1,1,4,2] => [4,2,1,1,1] => 5
[9,8,7,6,5,3,4,1,2] => [1,1,1,2,2,2] => [2,2,2,1,1,1] => 6
[9,8,7,6,5,4,3,1,2] => [1,1,1,2,1,1,2] => [2,2,1,1,1,1,1] => 7
[9,10,1,2,3,4,5,6,7,8] => [10] => [10] => 1
[8,9,10,1,2,3,4,5,6,7] => [10] => [10] => 1
[10,8,9,1,2,3,4,5,6,7] => [1,9] => [9,1] => 2
[10,9,8,1,2,3,4,5,6,7] => [1,1,8] => [8,1,1] => 3
[7,8,9,10,1,2,3,4,5,6] => [10] => [10] => 1
[10,7,8,9,1,2,3,4,5,6] => [1,9] => [9,1] => 2
[9,10,7,8,1,2,3,4,5,6] => [2,8] => [8,2] => 2
[10,9,7,8,1,2,3,4,5,6] => [1,1,8] => [8,1,1] => 3
[10,9,8,7,1,2,3,4,5,6] => [1,1,1,7] => [7,1,1,1] => 4
[10,6,7,8,9,1,2,3,4,5] => [1,9] => [9,1] => 2
[9,10,6,7,8,1,2,3,4,5] => [2,8] => [8,2] => 2
[10,9,6,7,8,1,2,3,4,5] => [1,1,8] => [8,1,1] => 3
[10,8,9,6,7,1,2,3,4,5] => [1,2,7] => [7,2,1] => 3
[10,9,8,6,7,1,2,3,4,5] => [1,1,1,7] => [7,1,1,1] => 4
[10,9,8,7,6,1,2,3,4,5] => [1,1,1,1,6] => [6,1,1,1,1] => 5
[9,10,5,6,7,8,1,2,3,4] => [2,8] => [8,2] => 2
[10,9,5,6,7,8,1,2,3,4] => [1,1,8] => [8,1,1] => 3
[8,9,10,5,6,7,1,2,3,4] => [3,7] => [7,3] => 2
[10,9,8,5,6,7,1,2,3,4] => [1,1,1,7] => [7,1,1,1] => 4
[9,10,7,8,5,6,1,2,3,4] => [2,4,4] => [4,4,2] => 3
[10,9,7,8,5,6,1,2,3,4] => [1,1,4,4] => [4,4,1,1] => 4
[10,9,8,7,5,6,1,2,3,4] => [1,1,1,3,4] => [4,3,1,1,1] => 5
[10,9,8,7,6,5,1,2,3,4] => [1,1,1,1,2,4] => [4,2,1,1,1,1] => 6
[10,7,8,9,4,5,6,1,2,3] => [1,6,3] => [6,3,1] => 3
[9,10,7,8,4,5,6,1,2,3] => [2,5,3] => [5,3,2] => 3
[10,9,7,8,4,5,6,1,2,3] => [1,1,5,3] => [5,3,1,1] => 4
[10,9,8,7,4,5,6,1,2,3] => [1,1,1,4,3] => [4,3,1,1,1] => 5
[10,8,9,6,7,4,5,1,2,3] => [1,2,4,3] => [4,3,2,1] => 4
[10,9,8,6,7,4,5,1,2,3] => [1,1,1,4,3] => [4,3,1,1,1] => 5
[10,9,8,7,6,4,5,1,2,3] => [1,1,1,1,3,3] => [3,3,1,1,1,1] => 6
[10,9,8,7,6,5,4,1,2,3] => [1,1,1,1,2,1,3] => [3,2,1,1,1,1,1] => 7
[9,10,7,8,5,6,3,4,1,2] => [2,4,2,2] => [4,2,2,2] => 4
[10,9,7,8,5,6,3,4,1,2] => [1,1,4,2,2] => [4,2,2,1,1] => 5
[10,9,8,7,5,6,3,4,1,2] => [1,1,1,3,2,2] => [3,2,2,1,1,1] => 6
[10,9,8,7,6,5,3,4,1,2] => [1,1,1,1,2,2,2] => [2,2,2,1,1,1,1] => 7
[10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,2,1,1,2] => [2,2,1,1,1,1,1,1] => 8
[3,4,6,2,7,1,5,8] => [4,4] => [4,4] => 2
[3,6,2,5,4,1,7,8] => [3,2,3] => [3,3,2] => 3
[3,2,7,5,4,1,6,8] => [2,1,2,3] => [3,2,2,1] => 4
[4,3,6,2,8,1,5,7] => [1,3,4] => [4,3,1] => 3
[6,1,2,5,4,7,8,3] => [3,2,3] => [3,3,2] => 3
[6,2,4,5,1,3,7,8] => [2,6] => [6,2] => 2
[4,2,8,5,1,3,7,6] => [2,1,4,1] => [4,2,1,1] => 4
[4,3,6,8,1,7,2,5] => [1,4,3] => [4,3,1] => 3
[5,3,6,4,1,7,2,8] => [1,3,1,3] => [3,3,1,1] => 4
[6,2,1,5,8,3,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[1,6,7,4,8,3,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[1,4,6,3,7,5,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[4,6,7,2,5,8,1,3] => [5,3] => [5,3] => 2
[2,4,6,1,7,5,3,8] => [4,2,2] => [4,2,2] => 3
[2,7,5,4,1,6,3,8] => [2,2,2,2] => [2,2,2,2] => 4
[7,5,4,6,2,8,1,3] => [1,1,3,3] => [3,3,1,1] => 4
[1,7,5,4,3,8,6,2] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[1,4,6,3,5,8,7,2] => [1,4,2,1] => [4,2,1,1] => 4
[1,5,8,4,3,6,7,2] => [1,3,3,1] => [3,3,1,1] => 4
[5,4,6,2,7,8,1,3] => [1,3,4] => [4,3,1] => 3
[2,5,4,1,6,7,3,8] => [2,2,4] => [4,2,2] => 3
[5,6,3,2,7,1,4,8] => [3,1,4] => [4,3,1] => 3
[5,6,3,2,7,1,8,4] => [3,1,2,2] => [3,2,2,1] => 4
[8,5,6,3,2,7,1,4] => [1,3,1,3] => [3,3,1,1] => 4
[5,4,6,2,8,1,7,3] => [1,3,3,1] => [3,3,1,1] => 4
[2,4,1,7,8,5,3,6] => [3,3,2] => [3,3,2] => 3
[2,5,4,1,6,3,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[5,6,3,2,1,8,4,7] => [3,1,1,3] => [3,3,1,1] => 4
[3,5,2,1,6,4,7,8] => [3,1,4] => [4,3,1] => 3
[6,8,4,3,2,1,5,7] => [2,2,1,3] => [3,2,2,1] => 4
[5,3,8,2,1,6,4,7] => [1,3,2,2] => [3,2,2,1] => 4
[3,7,5,8,2,1,4,6] => [2,3,3] => [3,3,2] => 3
[7,3,2,8,5,1,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,4,6,3,2,1,7,5] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[8,6,4,3,2,1,7,5] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[7,6,4,3,2,1,8,5] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 6
[7,8,4,3,2,1,6,5] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[5,4,7,2,1,8,6,3] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[7,5,8,3,2,6,1,4] => [1,3,2,2] => [3,2,2,1] => 4
[5,7,3,2,1,6,8,4] => [3,1,2,2] => [3,2,2,1] => 4
[5,7,3,2,1,6,4,8] => [3,1,2,2] => [3,2,2,1] => 4
[6,3,7,2,5,1,8,4] => [1,4,1,2] => [4,2,1,1] => 4
[6,7,8,3,5,2,1,4] => [5,1,2] => [5,2,1] => 3
[6,2,5,7,8,4,1,3] => [2,4,2] => [4,2,2] => 3
[2,1,5,7,8,6,3,4] => [2,4,2] => [4,2,2] => 3
[3,6,7,2,8,1,4,5] => [4,4] => [4,4] => 2
[6,3,7,2,8,1,4,5] => [1,3,4] => [4,3,1] => 3
[3,2,6,1,7,4,5,8] => [2,2,4] => [4,2,2] => 3
[3,5,2,1,4,7,6,8] => [3,2,3] => [3,3,2] => 3
[7,3,5,2,1,8,4,6] => [1,3,1,3] => [3,3,1,1] => 4
[2,5,4,1,3,7,8,6] => [2,3,3] => [3,3,2] => 3
[2,5,8,4,1,3,7,6] => [4,3,1] => [4,3,1] => 3
[2,4,1,7,8,3,6,5] => [3,4,1] => [4,3,1] => 3
[3,7,2,8,6,1,4,5] => [3,1,4] => [4,3,1] => 3
[3,6,8,2,1,7,4,5] => [4,1,3] => [4,3,1] => 3
[5,3,8,2,1,4,7,6] => [1,3,3,1] => [3,3,1,1] => 4
[4,8,7,3,2,1,5,6] => [2,2,1,3] => [3,2,2,1] => 4
[4,7,3,2,1,5,6,8] => [3,1,4] => [4,3,1] => 3
[8,4,7,3,2,1,5,6] => [1,3,1,3] => [3,3,1,1] => 4
[8,3,5,2,1,4,7,6] => [1,3,3,1] => [3,3,1,1] => 4
[7,3,2,8,6,1,4,5] => [1,2,1,4] => [4,2,1,1] => 4
[3,5,2,1,4,6,8,7] => [3,3,2] => [3,3,2] => 3
[7,8,6,5,4,3,2,1,9] => [2,1,2,1,1,2] => [2,2,2,1,1,1] => 6
[1,8,9,7,6,5,4,3,2] => [1,2,1,2,1,1,1] => [2,2,1,1,1,1,1] => 7
[8,9,7,6,5,4,3,2,1,10] => [2,1,2,1,1,1,2] => [2,2,2,1,1,1,1] => 7
[7,6,8,5,4,3,2,1,9] => [1,2,2,1,1,2] => [2,2,2,1,1,1] => 6
[6,8,7,5,4,3,2,1,9] => [2,1,2,1,1,2] => [2,2,2,1,1,1] => 6
[1,8,7,9,6,5,4,3,2] => [1,1,2,2,1,1,1] => [2,2,1,1,1,1,1] => 7
[1,7,9,8,6,5,4,3,2] => [1,2,1,2,1,1,1] => [2,2,1,1,1,1,1] => 7
[1,9,10,8,7,6,5,4,3,2] => [1,2,1,2,1,1,1,1] => [2,2,1,1,1,1,1,1] => 8
[7,8,3,5,4,6,1,2] => [3,3,2] => [3,3,2] => 3
[8,6,3,7,5,2,4,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[5,4,1,6,3,2,8,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[5,4,1,6,2,3,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[5,7,1,6,2,8,3,4] => [3,2,3] => [3,3,2] => 3
[5,7,1,6,2,8,4,3] => [3,2,2,1] => [3,2,2,1] => 4
[2,7,6,5,1,8,3,4] => [2,1,2,3] => [3,2,2,1] => 4
[2,7,6,5,1,8,4,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,3,6,5,1,4,8,7] => [3,3,2] => [3,3,2] => 3
[2,3,6,4,1,5,8,7] => [4,2,2] => [4,2,2] => 3
[2,3,6,1,5,4,8,7] => [5,1,2] => [5,2,1] => 3
[2,7,6,1,4,8,5,3] => [2,3,2,1] => [3,2,2,1] => 4
[2,7,6,1,4,8,3,5] => [2,3,3] => [3,3,2] => 3
[7,3,5,1,8,4,2,6] => [1,3,2,2] => [3,2,2,1] => 4
[7,3,5,1,8,6,4,2] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[2,7,6,1,5,8,4,3] => [2,3,2,1] => [3,2,2,1] => 4
[2,7,6,4,1,8,5,3] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[2,1,7,6,3,8,5,4] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,1,7,6,3,8,4,5] => [2,1,2,3] => [3,2,2,1] => 4
[5,7,3,6,2,8,4,1] => [3,2,2,1] => [3,2,2,1] => 4
[2,7,6,4,1,8,3,5] => [2,2,1,3] => [3,2,2,1] => 4
[7,3,5,1,8,6,2,4] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,5,1,8,2,4,7] => [1,3,4] => [4,3,1] => 3
[2,3,4,8,7,6,1,5] => [4,2,2] => [4,2,2] => 3
[2,3,4,8,5,7,1,6] => [5,3] => [5,3] => 2
[7,3,5,4,8,1,2,6] => [1,3,4] => [4,3,1] => 3
[6,4,3,5,8,7,2,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[2,1,4,5,8,7,3,6] => [2,3,3] => [3,3,2] => 3
[6,4,3,5,8,7,1,2] => [1,2,2,3] => [3,2,2,1] => 4
[7,3,5,4,8,1,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[2,3,4,8,7,5,6,1] => [4,3,1] => [4,3,1] => 3
[2,3,4,8,7,5,1,6] => [4,2,2] => [4,2,2] => 3
[2,7,6,5,4,8,1,3] => [2,1,2,3] => [3,2,2,1] => 4
[7,3,5,6,8,4,1,2] => [1,5,2] => [5,2,1] => 3
[7,3,5,6,8,1,4,2] => [1,6,1] => [6,1,1] => 3
[7,3,5,6,8,1,2,4] => [1,7] => [7,1] => 2
[6,4,1,5,8,7,2,3] => [1,2,2,3] => [3,2,2,1] => 4
[6,4,1,5,8,7,3,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,4,1,5,8,3,7,2] => [1,2,4,1] => [4,2,1,1] => 4
[5,7,1,6,3,8,2,4] => [3,2,3] => [3,3,2] => 3
[6,4,1,5,8,3,2,7] => [1,2,3,2] => [3,2,2,1] => 4
[7,4,1,5,8,2,3,6] => [1,2,5] => [5,2,1] => 3
[7,4,1,5,8,2,6,3] => [1,2,4,1] => [4,2,1,1] => 4
[6,3,5,7,8,2,1,4] => [1,5,2] => [5,2,1] => 3
[6,3,5,7,8,2,4,1] => [1,6,1] => [6,1,1] => 3
[2,7,6,4,5,8,3,1] => [2,3,2,1] => [3,2,2,1] => 4
[5,7,3,6,1,8,4,2] => [3,2,2,1] => [3,2,2,1] => 4
[2,1,4,5,8,6,3,7] => [2,4,2] => [4,2,2] => 3
[7,3,5,4,8,6,2,1] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[2,3,4,8,5,6,1,7] => [6,2] => [6,2] => 2
[2,3,4,8,7,1,6,5] => [4,3,1] => [4,3,1] => 3
[2,3,4,8,1,7,6,5] => [5,2,1] => [5,2,1] => 3
[2,3,4,8,1,6,7,5] => [7,1] => [7,1] => 2
[2,3,4,8,5,1,7,6] => [5,2,1] => [5,2,1] => 3
[6,3,5,4,8,2,7,1] => [1,3,3,1] => [3,3,1,1] => 4
[7,4,3,5,8,2,1,6] => [1,2,3,2] => [3,2,2,1] => 4
[2,1,4,5,8,3,7,6] => [2,5,1] => [5,2,1] => 3
[7,4,3,5,8,2,6,1] => [1,2,4,1] => [4,2,1,1] => 4
[6,3,5,4,8,2,1,7] => [1,3,2,2] => [3,2,2,1] => 4
[2,3,4,8,5,1,6,7] => [5,3] => [5,3] => 2
[2,3,4,8,1,6,5,7] => [6,2] => [6,2] => 2
[2,3,4,8,1,5,7,6] => [7,1] => [7,1] => 2
[7,8,2,6,1,5,3,4] => [3,3,2] => [3,3,2] => 3
[7,8,1,6,2,5,3,4] => [3,3,2] => [3,3,2] => 3
[1,8,6,7,2,5,3,4] => [1,1,4,2] => [4,2,1,1] => 4
[1,8,5,7,2,6,3,4] => [1,1,4,2] => [4,2,1,1] => 4
[5,8,1,7,2,6,3,4] => [3,3,2] => [3,3,2] => 3
[5,8,2,7,1,6,3,4] => [3,3,2] => [3,3,2] => 3
[2,8,6,7,1,5,3,4] => [2,4,2] => [4,2,2] => 3
[2,8,5,7,1,6,3,4] => [2,4,2] => [4,2,2] => 3
[2,8,1,7,5,6,3,4] => [3,3,2] => [3,3,2] => 3
[1,8,2,7,5,6,3,4] => [1,2,3,2] => [3,2,2,1] => 4
[1,8,2,7,4,6,3,5] => [1,2,3,2] => [3,2,2,1] => 4
[2,8,1,7,4,6,3,5] => [3,3,2] => [3,3,2] => 3
[2,8,4,7,1,6,3,5] => [2,4,2] => [4,2,2] => 3
[4,8,2,7,1,6,3,5] => [3,3,2] => [3,3,2] => 3
[4,8,1,7,2,6,3,5] => [3,3,2] => [3,3,2] => 3
[1,8,4,7,2,6,3,5] => [1,1,4,2] => [4,2,1,1] => 4
[4,8,1,7,5,6,2,3] => [3,3,2] => [3,3,2] => 3
[1,8,4,7,5,6,2,3] => [1,1,4,2] => [4,2,1,1] => 4
[1,8,3,7,5,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[3,8,1,7,5,6,2,4] => [3,3,2] => [3,3,2] => 3
[3,8,1,7,4,6,2,5] => [3,3,2] => [3,3,2] => 3
[1,8,3,7,4,6,2,5] => [1,2,3,2] => [3,2,2,1] => 4
[1,8,3,7,2,6,4,5] => [1,2,3,2] => [3,2,2,1] => 4
[3,8,1,7,2,6,4,5] => [3,3,2] => [3,3,2] => 3
[3,8,2,7,1,6,4,5] => [3,3,2] => [3,3,2] => 3
[3,8,2,7,4,6,1,5] => [3,3,2] => [3,3,2] => 3
[3,8,2,7,5,6,1,4] => [3,3,2] => [3,3,2] => 3
[4,8,2,7,5,6,1,3] => [3,3,2] => [3,3,2] => 3
[4,8,3,7,5,6,1,2] => [3,3,2] => [3,3,2] => 3
[3,8,4,7,5,6,1,2] => [2,4,2] => [4,2,2] => 3
[2,8,4,7,5,6,1,3] => [2,4,2] => [4,2,2] => 3
[2,8,3,7,5,6,1,4] => [3,3,2] => [3,3,2] => 3
[2,8,3,7,4,6,1,5] => [3,3,2] => [3,3,2] => 3
[2,8,3,7,1,6,4,5] => [3,3,2] => [3,3,2] => 3
[2,8,1,7,3,6,4,5] => [3,3,2] => [3,3,2] => 3
[7,5,2,8,6,4,1,3] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[7,5,1,8,6,2,3,4] => [1,2,1,4] => [4,2,1,1] => 4
[7,4,8,6,1,5,2,3] => [1,2,3,2] => [3,2,2,1] => 4
[7,1,8,4,5,2,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,8,1,7,4,2,5,3] => [3,2,2,1] => [3,2,2,1] => 4
[1,6,7,4,2,8,5,3] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[1,6,7,3,8,5,2,4] => [1,3,2,2] => [3,2,2,1] => 4
[7,1,8,3,5,6,2,4] => [2,4,2] => [4,2,2] => 3
[7,3,8,6,2,5,1,4] => [1,2,3,2] => [3,2,2,1] => 4
[7,4,2,8,6,1,3,5] => [1,2,1,4] => [4,2,1,1] => 4
[7,3,1,8,4,2,5,6] => [1,2,2,3] => [3,2,2,1] => 4
[7,2,8,4,1,5,3,6] => [2,2,2,2] => [2,2,2,2] => 4
[7,2,8,3,5,1,6,4] => [2,3,2,1] => [3,2,2,1] => 4
[7,2,8,3,4,6,1,5] => [2,4,2] => [4,2,2] => 3
[1,5,7,8,2,6,3,4] => [1,5,2] => [5,2,1] => 3
[6,2,3,8,5,7,4,1] => [3,2,2,1] => [3,2,2,1] => 4
[6,2,4,8,5,3,1,7] => [2,3,1,2] => [3,2,2,1] => 4
[6,3,1,4,8,5,2,7] => [1,3,2,2] => [3,2,2,1] => 4
[2,6,3,7,8,5,4,1] => [3,3,1,1] => [3,3,1,1] => 4
[2,6,3,7,8,4,5,1] => [3,4,1] => [4,3,1] => 3
[2,4,7,3,5,6,8,1] => [6,2] => [6,2] => 2
[2,4,7,3,6,8,5,1] => [4,3,1] => [4,3,1] => 3
[2,5,3,7,8,1,6,4] => [3,4,1] => [4,3,1] => 3
[3,1,5,4,7,8,2,6] => [2,2,4] => [4,2,2] => 3
[5,3,1,4,8,2,6,7] => [1,3,4] => [4,3,1] => 3
[5,2,4,8,6,1,3,7] => [2,2,4] => [4,2,2] => 3
[5,2,3,8,4,6,7,1] => [3,4,1] => [4,3,1] => 3
[4,8,2,3,6,1,7,5] => [4,3,1] => [4,3,1] => 3
[4,8,2,3,5,7,1,6] => [5,3] => [5,3] => 2
[1,4,7,8,3,6,2,5] => [1,5,2] => [5,2,1] => 3
[4,8,1,3,6,7,2,5] => [4,4] => [4,4] => 2
[5,3,8,2,4,7,1,6] => [1,4,3] => [4,3,1] => 3
[5,4,3,8,1,2,7,6] => [1,2,4,1] => [4,2,1,1] => 4
[6,4,2,8,1,3,7,5] => [1,2,4,1] => [4,2,1,1] => 4
[6,3,8,2,5,1,7,4] => [1,4,2,1] => [4,2,1,1] => 4
[6,3,8,1,4,7,2,5] => [1,4,3] => [4,3,1] => 3
[5,8,1,3,6,2,7,4] => [4,3,1] => [4,3,1] => 3
[1,5,7,4,2,6,8,3] => [1,3,2,2] => [3,2,2,1] => 4
[5,8,1,4,2,6,3,7] => [4,2,2] => [4,2,2] => 3
[5,8,4,1,2,7,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,5,1,2,8,7,3,4] => [1,3,1,3] => [3,3,1,1] => 4
[6,5,3,1,4,2,8,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[5,3,1,6,4,2,7,8] => [1,2,2,3] => [3,2,2,1] => 4
[5,2,6,4,1,7,3,8] => [2,2,1,3] => [3,2,2,1] => 4
[4,6,1,7,5,2,8,3] => [3,2,1,2] => [3,2,2,1] => 4
[4,5,1,7,2,6,3,8] => [3,3,2] => [3,3,2] => 3
[3,5,6,1,2,8,7,4] => [5,2,1] => [5,2,1] => 3
[3,5,7,1,8,6,2,4] => [4,2,2] => [4,2,2] => 3
[3,6,2,7,5,1,8,4] => [3,2,1,2] => [3,2,2,1] => 4
[4,2,5,7,1,8,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[3,4,7,2,8,6,1,5] => [4,2,2] => [4,2,2] => 3
[3,4,5,8,2,7,1,6] => [5,3] => [5,3] => 2
[3,4,6,2,8,1,5,7] => [4,4] => [4,4] => 2
[3,5,2,6,8,1,7,4] => [3,4,1] => [4,3,1] => 3
[4,2,5,6,1,3,8,7] => [2,4,2] => [4,2,2] => 3
[4,3,1,2,5,6,8,7] => [1,5,2] => [5,2,1] => 3
[5,3,6,8,4,7,2,1] => [1,4,2,1] => [4,2,1,1] => 4
[3,7,2,5,4,8,6,1] => [3,2,2,1] => [3,2,2,1] => 4
[8,4,2,5,7,3,6,1] => [1,2,4,1] => [4,2,1,1] => 4
[4,7,2,5,8,3,6,1] => [3,4,1] => [4,3,1] => 3
[5,2,6,8,4,3,7,1] => [2,3,2,1] => [3,2,2,1] => 4
[3,1,6,5,4,8,2,7] => [2,1,2,3] => [3,2,2,1] => 4
[4,1,6,5,8,3,2,7] => [2,1,3,2] => [3,2,2,1] => 4
[5,1,6,8,4,3,2,7] => [2,3,1,2] => [3,2,2,1] => 4
[8,5,4,7,6,3,2,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[5,7,1,8,4,3,2,6] => [3,2,1,2] => [3,2,2,1] => 4
[2,7,1,5,4,3,8,6] => [3,2,1,2] => [3,2,2,1] => 4
[8,2,1,5,4,3,7,6] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[8,4,1,5,7,3,2,6] => [1,2,3,2] => [3,2,2,1] => 4
[8,5,6,7,1,3,2,4] => [1,5,2] => [5,2,1] => 3
[8,4,6,1,7,3,2,5] => [1,3,2,2] => [3,2,2,1] => 4
[8,3,6,1,4,7,2,5] => [1,4,3] => [4,3,1] => 3
[2,7,6,1,4,3,8,5] => [2,3,1,2] => [3,2,2,1] => 4
[6,7,8,5,1,3,2,4] => [3,3,2] => [3,3,2] => 3
[5,7,6,8,2,3,4,1] => [2,5,1] => [5,2,1] => 3
[5,7,2,8,4,3,6,1] => [3,2,2,1] => [3,2,2,1] => 4
[6,7,8,2,4,3,5,1] => [5,2,1] => [5,2,1] => 3
[4,7,6,2,8,3,5,1] => [2,2,3,1] => [3,2,2,1] => 4
[8,3,6,2,4,7,5,1] => [1,4,2,1] => [4,2,1,1] => 4
[3,7,6,2,4,8,5,1] => [2,3,2,1] => [3,2,2,1] => 4
[5,7,3,8,4,6,2,1] => [3,3,1,1] => [3,3,1,1] => 4
[4,7,3,5,8,6,2,1] => [3,3,1,1] => [3,3,1,1] => 4
[8,7,2,1,4,3,6,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,7,3,1,4,6,2,5] => [1,2,3,2] => [3,2,2,1] => 4
[8,7,6,3,2,5,4,1] => [1,1,2,2,1,1] => [2,2,1,1,1,1] => 6
[8,7,3,5,1,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[8,7,2,5,1,3,6,4] => [1,2,4,1] => [4,2,1,1] => 4
[8,2,6,5,1,3,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[8,4,6,5,7,1,2,3] => [1,2,5] => [5,2,1] => 3
[5,7,6,8,4,1,2,3] => [2,3,3] => [3,3,2] => 3
[4,7,6,5,8,1,2,3] => [2,1,5] => [5,2,1] => 3
[3,7,6,5,1,8,2,4] => [2,1,2,3] => [3,2,2,1] => 4
[8,1,2,3,4,5,6,7,9] => [9] => [9] => 1
[1,9,2,3,4,5,6,7,8] => [1,8] => [8,1] => 2
[9,1,2,3,4,5,6,7,8,10] => [10] => [10] => 1
[7,8,1,2,3,4,5,6,9] => [9] => [9] => 1
[1,8,9,2,3,4,5,6,7] => [1,8] => [8,1] => 2
[1,10,2,3,4,5,6,7,8,9] => [1,9] => [9,1] => 2
[10,1,2,3,4,5,6,7,8,9,11] => [11] => [11] => 1
[8,9,1,2,3,4,5,6,7,10] => [10] => [10] => 1
[7,1,8,2,3,4,5,6,9] => [2,7] => [7,2] => 2
[6,8,1,2,3,4,5,7,9] => [9] => [9] => 1
[1,8,2,9,3,4,5,6,7] => [1,2,6] => [6,2,1] => 3
[1,7,9,2,3,4,5,6,8] => [1,8] => [8,1] => 2
[1,9,10,2,3,4,5,6,7,8] => [1,9] => [9,1] => 2
[1,11,2,3,4,5,6,7,8,9,10] => [1,10] => [10,1] => 2
[3,6,4,8,7,5,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[5,6,4,3,8,7,1,2] => [2,2,1,3] => [3,2,2,1] => 4
[1,6,2,4,7,8,5,3] => [1,3,3,1] => [3,3,1,1] => 4
[3,6,2,4,8,1,5,7] => [4,4] => [4,4] => 2
[3,4,7,2,8,1,6,5] => [4,3,1] => [4,3,1] => 3
[1,4,7,2,5,8,6,3] => [1,4,2,1] => [4,2,1,1] => 4
[7,3,8,4,5,6,1,2] => [1,5,2] => [5,2,1] => 3
[3,5,6,4,8,7,1,2] => [4,1,3] => [4,3,1] => 3
[4,6,8,5,3,7,1,2] => [3,2,3] => [3,3,2] => 3
[6,8,5,3,4,7,1,2] => [2,3,3] => [3,3,2] => 3
[1,6,5,4,2,8,7,3] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[1,8,5,2,7,3,6,4] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[4,2,7,5,1,8,6,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[7,8,1,4,2,6,5,3] => [4,2,1,1] => [4,2,1,1] => 4
[1,3,6,4,8,2,5,7] => [1,3,4] => [4,3,1] => 3
[4,1,7,5,3,2,6,8] => [2,1,2,3] => [3,2,2,1] => 4
[6,5,1,3,4,2,8,7] => [1,4,1,2] => [4,2,1,1] => 4
[4,8,5,3,1,7,2,6] => [2,2,1,3] => [3,2,2,1] => 4
[7,4,5,3,2,8,1,6] => [1,3,1,3] => [3,3,1,1] => 4
[5,8,3,6,1,4,2,7] => [3,3,2] => [3,3,2] => 3
[2,5,8,6,4,1,3,7] => [3,2,3] => [3,3,2] => 3
[1,4,6,2,5,8,3,7] => [1,4,3] => [4,3,1] => 3
[3,6,2,5,8,1,7,4] => [3,4,1] => [4,3,1] => 3
[1,6,8,7,4,2,3,5] => [1,2,2,3] => [3,2,2,1] => 4
[6,1,7,8,2,4,3,5] => [2,4,2] => [4,2,2] => 3
[7,1,8,6,3,4,2,5] => [2,1,3,2] => [3,2,2,1] => 4
[7,2,1,4,5,6,8,3] => [2,4,2] => [4,2,2] => 3
[1,2,8,3,6,5,7,4] => [2,2,3,1] => [3,2,2,1] => 4
[6,1,3,2,7,5,8,4] => [3,1,2,2] => [3,2,2,1] => 4
[1,6,3,8,5,7,2,4] => [1,2,2,3] => [3,2,2,1] => 4
[2,6,4,1,7,5,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[7,6,5,8,1,4,2,3] => [1,1,4,2] => [4,2,1,1] => 4
[5,8,6,7,3,2,1,4] => [2,3,1,2] => [3,2,2,1] => 4
[1,6,4,3,7,2,8,5] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[2,6,3,4,8,7,1,5] => [4,1,3] => [4,3,1] => 3
[7,1,3,4,5,2,8,6] => [5,1,2] => [5,2,1] => 3
[1,8,3,5,4,2,7,6] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[4,1,6,3,8,2,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[7,8,2,4,6,3,1,5] => [4,2,2] => [4,2,2] => 3
[3,2,6,4,7,8,1,5] => [2,2,4] => [4,2,2] => 3
[2,8,5,7,4,3,1,6] => [2,3,1,2] => [3,2,2,1] => 4
[7,2,5,8,3,4,1,6] => [2,4,2] => [4,2,2] => 3
[5,3,8,7,1,2,6,4] => [1,2,4,1] => [4,2,1,1] => 4
[6,5,3,8,2,1,7,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[7,5,8,4,1,2,3,6] => [1,3,4] => [4,3,1] => 3
[5,8,7,4,1,3,2,6] => [2,2,2,2] => [2,2,2,2] => 4
[3,5,7,8,4,1,2,6] => [5,3] => [5,3] => 2
[1,4,7,5,3,8,2,6] => [1,2,2,3] => [3,2,2,1] => 4
[2,4,6,7,3,1,8,5] => [5,1,2] => [5,2,1] => 3
[7,8,4,6,3,1,2,5] => [2,3,3] => [3,3,2] => 3
[2,6,4,5,3,8,1,7] => [2,3,3] => [3,3,2] => 3
[3,6,5,8,4,2,1,7] => [2,3,1,2] => [3,2,2,1] => 4
[5,6,8,4,2,3,1,7] => [4,2,2] => [4,2,2] => 3
[6,8,5,4,3,1,2,7] => [2,2,1,3] => [3,2,2,1] => 4
[6,1,4,2,8,5,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[4,8,6,5,3,2,7,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[8,6,5,1,2,4,7,3] => [1,1,5,1] => [5,1,1,1] => 4
[6,7,5,8,2,1,4,3] => [2,3,2,1] => [3,2,2,1] => 4
[1,7,5,8,2,6,4,3] => [1,1,4,1,1] => [4,1,1,1,1] => 5
[1,3,8,5,7,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[6,3,8,5,7,1,2,4] => [1,2,5] => [5,2,1] => 3
[8,3,1,5,6,2,7,4] => [1,2,4,1] => [4,2,1,1] => 4
[6,8,5,2,1,4,7,3] => [2,2,3,1] => [3,2,2,1] => 4
[3,8,2,5,6,1,7,4] => [3,4,1] => [4,3,1] => 3
[2,8,1,5,6,3,7,4] => [3,4,1] => [4,3,1] => 3
[8,1,2,5,6,3,7,4] => [3,4,1] => [4,3,1] => 3
[1,8,2,5,7,6,3,4] => [1,2,3,2] => [3,2,2,1] => 4
[5,1,8,6,2,7,3,4] => [2,1,2,3] => [3,2,2,1] => 4
[2,5,8,6,1,7,3,4] => [3,2,3] => [3,3,2] => 3
[8,6,1,5,7,2,3,4] => [1,2,5] => [5,2,1] => 3
[3,8,6,5,7,1,2,4] => [2,1,5] => [5,2,1] => 3
[7,6,5,8,1,2,4,3] => [1,1,5,1] => [5,1,1,1] => 4
[5,1,7,6,8,4,2,3] => [2,1,3,2] => [3,2,2,1] => 4
[5,1,3,7,8,6,2,4] => [3,3,2] => [3,3,2] => 3
[7,2,5,8,1,6,4,3] => [2,4,1,1] => [4,2,1,1] => 4
[3,2,8,5,7,6,1,4] => [2,1,3,2] => [3,2,2,1] => 4
[8,2,1,5,7,6,3,4] => [2,1,3,2] => [3,2,2,1] => 4
[5,2,8,6,1,7,3,4] => [2,1,2,3] => [3,2,2,1] => 4
[1,2,8,6,5,7,3,4] => [2,1,2,3] => [3,2,2,1] => 4
[4,2,1,3,6,7,8,5] => [2,2,4] => [4,2,2] => 3
[8,2,5,6,3,7,1,4] => [2,3,3] => [3,3,2] => 3
[7,2,6,5,4,1,8,3] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[6,1,3,5,4,7,8,2] => [3,2,3] => [3,3,2] => 3
[6,1,5,3,4,7,8,2] => [2,3,3] => [3,3,2] => 3
[7,5,6,2,4,1,8,3] => [1,4,1,2] => [4,2,1,1] => 4
[8,5,2,6,3,7,1,4] => [1,2,2,3] => [3,2,2,1] => 4
[4,3,1,2,6,7,8,5] => [1,3,4] => [4,3,1] => 3
[8,1,6,5,7,3,2,4] => [2,1,3,2] => [3,2,2,1] => 4
[3,5,8,6,2,7,1,4] => [3,2,3] => [3,3,2] => 3
[5,8,1,6,3,7,2,4] => [3,2,3] => [3,3,2] => 3
[1,8,5,6,3,7,2,4] => [1,1,3,3] => [3,3,1,1] => 4
[1,7,6,5,4,2,8,3] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 6
[5,7,6,1,4,2,8,3] => [2,3,1,2] => [3,2,2,1] => 4
[7,1,4,2,6,5,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[4,1,7,3,5,6,8,2] => [2,4,2] => [4,2,2] => 3
[2,7,4,1,5,6,8,3] => [2,4,2] => [4,2,2] => 3
[5,7,6,4,1,2,8,3] => [2,2,2,2] => [2,2,2,2] => 4
[4,7,6,1,5,2,8,3] => [2,3,1,2] => [3,2,2,1] => 4
[1,7,6,4,5,2,8,3] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[1,8,3,6,5,7,2,4] => [1,2,2,3] => [3,2,2,1] => 4
[3,8,1,6,5,7,2,4] => [3,2,3] => [3,3,2] => 3
[8,1,3,5,7,6,2,4] => [3,3,2] => [3,3,2] => 3
[7,8,5,4,1,6,2,3] => [2,2,2,2] => [2,2,2,2] => 4
[6,1,5,4,3,7,8,2] => [2,2,1,3] => [3,2,2,1] => 4
[7,5,6,4,2,1,8,3] => [1,3,1,1,2] => [3,2,1,1,1] => 5
[8,3,2,6,5,7,1,4] => [1,2,2,3] => [3,2,2,1] => 4
[7,4,6,2,5,1,8,3] => [1,4,1,2] => [4,2,1,1] => 4
[6,1,4,3,5,7,8,2] => [2,3,3] => [3,3,2] => 3
[6,1,3,4,5,7,8,2] => [5,3] => [5,3] => 2
[7,2,6,4,5,1,8,3] => [2,3,1,2] => [3,2,2,1] => 4
[8,2,3,6,5,7,1,4] => [3,2,3] => [3,3,2] => 3
[5,4,7,3,6,8,1,2] => [1,3,4] => [4,3,1] => 3
[3,4,7,8,5,6,1,2] => [6,2] => [6,2] => 2
[3,4,7,2,5,1,6,8] => [5,3] => [5,3] => 2
[1,4,7,2,5,8,3,6] => [1,4,3] => [4,3,1] => 3
[3,6,2,4,7,1,5,8] => [4,4] => [4,4] => 2
[6,8,3,4,5,7,1,2] => [5,3] => [5,3] => 2
[4,3,6,7,5,8,1,2] => [1,4,3] => [4,3,1] => 3
[6,3,7,5,8,4,1,2] => [1,2,3,2] => [3,2,2,1] => 4
[7,3,8,6,4,5,1,2] => [1,2,3,2] => [3,2,2,1] => 4
[3,2,7,6,5,1,4,8] => [2,1,2,3] => [3,2,2,1] => 4
[1,2,7,6,5,8,3,4] => [2,1,2,3] => [3,2,2,1] => 4
[4,8,2,6,1,5,3,7] => [3,3,2] => [3,3,2] => 3
[2,3,8,6,4,1,5,7] => [3,2,3] => [3,3,2] => 3
[4,3,6,2,5,1,8,7] => [1,4,1,2] => [4,2,1,1] => 4
[7,8,3,2,5,1,4,6] => [3,2,3] => [3,3,2] => 3
[7,8,1,2,5,6,3,4] => [6,2] => [6,2] => 2
[4,1,6,2,5,7,3,8] => [2,3,3] => [3,3,2] => 3
[6,1,2,5,8,7,3,4] => [3,2,3] => [3,3,2] => 3
[2,1,8,6,4,7,3,5] => [2,1,2,3] => [3,2,2,1] => 4
[7,1,3,6,8,4,2,5] => [3,3,2] => [3,3,2] => 3
[1,8,3,6,7,4,5,2] => [1,2,4,1] => [4,2,1,1] => 4
[7,1,5,8,3,6,2,4] => [2,4,2] => [4,2,2] => 3
[5,1,8,7,2,3,6,4] => [2,1,4,1] => [4,2,1,1] => 4
[6,1,5,7,4,2,8,3] => [2,3,1,2] => [3,2,2,1] => 4
[3,1,6,4,7,2,5,8] => [2,2,4] => [4,2,2] => 3
[2,4,7,5,1,8,3,6] => [3,2,3] => [3,3,2] => 3
[6,5,7,1,4,2,3,8] => [1,4,3] => [4,3,1] => 3
[5,6,8,1,3,2,4,7] => [5,3] => [5,3] => 2
[6,8,5,1,3,4,2,7] => [2,4,2] => [4,2,2] => 3
[2,8,3,4,5,1,7,6] => [5,2,1] => [5,2,1] => 3
[6,2,4,3,1,5,7,8] => [2,2,4] => [4,2,2] => 3
[4,2,8,3,1,7,5,6] => [2,2,1,3] => [3,2,2,1] => 4
[1,3,7,4,8,2,5,6] => [1,3,4] => [4,3,1] => 3
[5,3,7,4,1,6,2,8] => [1,3,2,2] => [3,2,2,1] => 4
[2,4,7,3,6,1,8,5] => [4,2,2] => [4,2,2] => 3
[5,8,7,6,3,1,2,4] => [2,1,2,3] => [3,2,2,1] => 4
[7,5,6,8,1,4,3,2] => [1,5,1,1] => [5,1,1,1] => 4
[2,4,7,1,6,5,3,8] => [4,2,2] => [4,2,2] => 3
[1,2,7,8,5,4,3,6] => [2,3,1,2] => [3,2,2,1] => 4
[6,3,1,2,8,4,5,7] => [1,3,4] => [4,3,1] => 3
[4,2,1,3,6,5,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[2,8,1,4,5,6,3,7] => [6,2] => [6,2] => 2
[7,2,1,5,4,6,3,8] => [2,1,3,2] => [3,2,2,1] => 4
[4,2,6,1,8,5,3,7] => [2,2,2,2] => [2,2,2,2] => 4
[7,8,2,1,4,5,3,6] => [3,3,2] => [3,3,2] => 3
[7,8,4,1,5,3,6,2] => [2,3,2,1] => [3,2,2,1] => 4
[3,4,6,1,5,8,7,2] => [5,2,1] => [5,2,1] => 3
[7,5,1,6,4,3,8,2] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[5,8,1,6,3,4,7,2] => [3,4,1] => [4,3,1] => 3
[6,5,1,8,2,7,4,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,8,1,7,5,2,3,4] => [3,2,3] => [3,3,2] => 3
[7,6,1,8,5,3,2,4] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[5,6,1,7,4,8,2,3] => [3,2,3] => [3,3,2] => 3
[3,6,1,5,7,4,2,8] => [3,3,2] => [3,3,2] => 3
[2,5,6,1,7,4,8,3] => [4,2,2] => [4,2,2] => 3
[3,1,7,5,6,4,8,2] => [2,1,3,2] => [3,2,2,1] => 4
[5,1,7,6,4,8,3,2] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[6,1,7,8,5,3,4,2] => [2,3,2,1] => [3,2,2,1] => 4
[7,1,8,6,5,4,2,3] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[2,6,5,7,3,4,8,1] => [2,4,2] => [4,2,2] => 3
[1,6,4,7,5,8,2,3] => [1,1,3,3] => [3,3,1,1] => 4
[8,5,3,6,2,7,4,1] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,3,7,4,6,8,2,5] => [1,3,4] => [4,3,1] => 3
[4,7,5,6,3,2,8,1] => [2,3,1,2] => [3,2,2,1] => 4
[1,7,6,5,4,8,2,3] => [1,1,1,2,3] => [3,2,1,1,1] => 5
[8,1,6,5,7,2,4,3] => [2,1,4,1] => [4,2,1,1] => 4
[1,2,7,6,8,3,4,5] => [2,1,5] => [5,2,1] => 3
[6,1,7,5,3,8,2,4] => [2,1,2,3] => [3,2,2,1] => 4
[2,1,7,5,6,8,3,4] => [2,1,5] => [5,2,1] => 3
[5,4,1,7,6,8,2,3] => [1,2,1,4] => [4,2,1,1] => 4
[4,8,5,6,2,7,3,1] => [2,3,2,1] => [3,2,2,1] => 4
[3,8,6,4,2,7,5,1] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[7,8,5,2,4,6,3,1] => [2,4,1,1] => [4,2,1,1] => 4
[2,8,6,3,7,4,5,1] => [2,2,3,1] => [3,2,2,1] => 4
[7,8,1,6,2,4,5,3] => [3,4,1] => [4,3,1] => 3
[6,8,1,4,7,2,5,3] => [4,3,1] => [4,3,1] => 3
[3,8,4,1,7,2,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[5,4,7,1,8,3,2,6] => [1,3,2,2] => [3,2,2,1] => 4
[3,7,4,1,8,5,2,6] => [2,2,2,2] => [2,2,2,2] => 4
[6,7,1,4,8,3,2,5] => [4,2,2] => [4,2,2] => 3
[2,7,1,8,4,5,3,6] => [3,3,2] => [3,3,2] => 3
[6,1,2,8,4,3,5,7] => [3,2,3] => [3,3,2] => 3
[6,5,1,4,3,8,2,7] => [1,3,1,3] => [3,3,1,1] => 4
[1,6,2,5,8,3,4,7] => [1,2,5] => [5,2,1] => 3
[8,5,1,3,7,2,6,4] => [1,3,3,1] => [3,3,1,1] => 4
[8,4,2,1,7,3,6,5] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[7,4,2,1,8,5,3,6] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[1,5,4,2,8,3,6,7] => [1,1,2,4] => [4,2,1,1] => 4
[6,4,3,1,5,8,2,7] => [1,2,2,3] => [3,2,2,1] => 4
[3,7,6,8,4,5,2,1] => [2,4,1,1] => [4,2,1,1] => 4
[2,7,6,8,5,3,4,1] => [2,3,2,1] => [3,2,2,1] => 4
[1,7,6,8,5,4,2,3] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[1,4,8,6,7,5,2,3] => [1,2,3,2] => [3,2,2,1] => 4
[2,4,8,6,7,3,5,1] => [3,4,1] => [4,3,1] => 3
[7,3,8,5,4,6,2,1] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[3,4,8,5,6,7,2,1] => [3,4,1] => [4,3,1] => 3
[6,3,5,8,4,7,2,1] => [1,4,2,1] => [4,2,1,1] => 4
[5,4,3,8,6,7,2,1] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[5,4,2,8,7,3,6,1] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[6,2,5,8,7,3,4,1] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,8,5,7,4,6,1] => [2,1,4,1] => [4,2,1,1] => 4
[1,3,8,7,5,6,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[2,1,8,7,4,6,3,5] => [2,1,3,2] => [3,2,2,1] => 4
[3,1,8,5,7,6,2,4] => [2,1,3,2] => [3,2,2,1] => 4
[6,1,5,8,7,4,2,3] => [2,2,2,2] => [2,2,2,2] => 4
[5,4,1,8,7,6,2,3] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[5,8,6,7,4,3,2,1] => [2,3,1,1,1] => [3,2,1,1,1] => 5
[4,8,7,5,6,3,2,1] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[4,2,1,6,3,5,8,7] => [2,1,3,2] => [3,2,2,1] => 4
[6,2,1,4,3,5,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[6,2,1,4,3,8,5,7] => [2,2,1,3] => [3,2,2,1] => 4
[8,2,1,4,3,6,5,7] => [2,2,2,2] => [2,2,2,2] => 4
[8,2,4,1,3,6,5,7] => [2,4,2] => [4,2,2] => 3
[6,2,4,1,3,8,5,7] => [2,3,3] => [3,3,2] => 3
[6,2,4,1,3,5,8,7] => [2,4,2] => [4,2,2] => 3
[4,2,6,1,3,5,8,7] => [2,4,2] => [4,2,2] => 3
[2,1,6,4,3,5,8,7] => [2,2,2,2] => [2,2,2,2] => 4
[2,6,1,4,3,5,8,7] => [4,2,2] => [4,2,2] => 3
[2,6,4,1,3,5,8,7] => [2,4,2] => [4,2,2] => 3
[4,6,2,1,3,5,8,7] => [3,3,2] => [3,3,2] => 3
[6,4,2,1,3,5,8,7] => [1,2,3,2] => [3,2,2,1] => 4
[8,4,2,1,3,6,5,7] => [1,2,3,2] => [3,2,2,1] => 4
[8,4,2,1,6,3,5,7] => [1,2,1,4] => [4,2,1,1] => 4
[6,4,2,1,8,3,5,7] => [1,2,1,4] => [4,2,1,1] => 4
[4,6,2,1,8,3,5,7] => [3,1,4] => [4,3,1] => 3
[2,6,1,4,3,8,5,7] => [4,1,3] => [4,3,1] => 3
[2,1,6,4,3,8,5,7] => [2,2,1,3] => [3,2,2,1] => 4
[2,1,8,4,3,6,5,7] => [2,2,2,2] => [2,2,2,2] => 4
[2,8,1,4,3,6,5,7] => [4,2,2] => [4,2,2] => 3
[2,8,4,1,3,6,5,7] => [2,4,2] => [4,2,2] => 3
[4,8,2,1,3,6,5,7] => [3,3,2] => [3,3,2] => 3
[4,8,2,1,6,3,5,7] => [3,1,4] => [4,3,1] => 3
[6,8,2,1,4,3,5,7] => [3,2,3] => [3,3,2] => 3
[8,6,2,1,4,3,5,7] => [1,2,2,3] => [3,2,2,1] => 4
[2,8,1,4,6,3,5,7] => [4,4] => [4,4] => 2
[2,1,8,4,6,3,5,7] => [2,2,4] => [4,2,2] => 3
[2,1,6,4,8,3,5,7] => [2,2,4] => [4,2,2] => 3
[2,6,1,4,8,3,5,7] => [4,4] => [4,4] => 2
[2,6,4,1,8,3,5,7] => [2,2,4] => [4,2,2] => 3
[2,6,4,8,1,3,5,7] => [2,6] => [6,2] => 2
[4,6,2,8,1,3,5,7] => [3,5] => [5,3] => 2
[4,2,6,1,3,8,5,7] => [2,3,3] => [3,3,2] => 3
[4,2,6,1,8,3,5,7] => [2,2,4] => [4,2,2] => 3
[6,2,4,1,8,3,5,7] => [2,2,4] => [4,2,2] => 3
[8,2,4,1,6,3,5,7] => [2,2,4] => [4,2,2] => 3
[8,2,1,4,6,3,5,7] => [2,2,4] => [4,2,2] => 3
[6,2,1,4,8,3,5,7] => [2,2,4] => [4,2,2] => 3
[4,2,1,6,8,3,5,7] => [2,1,5] => [5,2,1] => 3
[4,2,1,6,3,8,5,7] => [2,1,2,3] => [3,2,2,1] => 4
[4,2,1,3,6,8,5,7] => [2,2,4] => [4,2,2] => 3
[2,1,4,3,8,6,5,7] => [2,2,2,2] => [2,2,2,2] => 4
[2,4,1,3,8,6,5,7] => [4,2,2] => [4,2,2] => 3
[4,2,1,3,8,6,5,7] => [2,2,2,2] => [2,2,2,2] => 4
[4,2,1,8,3,6,5,7] => [2,1,3,2] => [3,2,2,1] => 4
[4,2,1,8,6,3,5,7] => [2,1,1,4] => [4,2,1,1] => 4
[6,2,1,8,4,3,5,7] => [2,1,2,3] => [3,2,2,1] => 4
[8,2,1,6,4,3,5,7] => [2,1,2,3] => [3,2,2,1] => 4
[8,2,6,1,4,3,5,7] => [2,3,3] => [3,3,2] => 3
[6,2,8,1,4,3,5,7] => [2,3,3] => [3,3,2] => 3
[4,2,8,1,6,3,5,7] => [2,2,4] => [4,2,2] => 3
[4,2,8,1,3,6,5,7] => [2,4,2] => [4,2,2] => 3
[2,4,8,1,3,6,5,7] => [6,2] => [6,2] => 2
[2,4,1,8,3,6,5,7] => [3,3,2] => [3,3,2] => 3
[2,1,4,8,3,6,5,7] => [2,4,2] => [4,2,2] => 3
[2,1,4,8,6,3,5,7] => [2,2,4] => [4,2,2] => 3
[2,4,8,1,6,3,5,7] => [4,4] => [4,4] => 2
[2,4,8,6,1,3,5,7] => [3,5] => [5,3] => 2
[4,2,8,6,1,3,5,7] => [2,1,5] => [5,2,1] => 3
[6,2,8,4,1,3,5,7] => [2,2,4] => [4,2,2] => 3
[8,2,6,4,1,3,5,7] => [2,2,4] => [4,2,2] => 3
[8,4,6,2,1,3,5,7] => [1,3,4] => [4,3,1] => 3
[6,4,8,2,1,3,5,7] => [1,3,4] => [4,3,1] => 3
[4,6,8,2,1,3,5,7] => [4,4] => [4,4] => 2
[2,6,8,4,1,3,5,7] => [4,4] => [4,4] => 2
[2,6,8,1,4,3,5,7] => [5,3] => [5,3] => 2
[2,6,1,8,4,3,5,7] => [3,2,3] => [3,3,2] => 3
[2,1,6,8,4,3,5,7] => [2,3,3] => [3,3,2] => 3
[2,1,8,6,4,3,5,7] => [2,1,2,3] => [3,2,2,1] => 4
[2,8,1,6,4,3,5,7] => [3,2,3] => [3,3,2] => 3
[2,8,6,4,1,3,5,7] => [2,2,4] => [4,2,2] => 3
[4,8,6,2,1,3,5,7] => [2,2,4] => [4,2,2] => 3
[6,8,4,2,1,3,5,7] => [2,2,4] => [4,2,2] => 3
[3,2,6,1,5,4,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[5,2,4,3,8,1,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[6,2,4,1,5,3,8,7] => [2,3,1,2] => [3,2,2,1] => 4
[4,3,6,1,5,2,8,7] => [1,4,1,2] => [4,2,1,1] => 4
[4,3,5,2,8,1,7,6] => [1,3,3,1] => [3,3,1,1] => 4
[4,3,7,2,6,5,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[4,3,8,2,6,1,7,5] => [1,3,3,1] => [3,3,1,1] => 4
[4,3,8,1,7,2,6,5] => [1,3,3,1] => [3,3,1,1] => 4
[4,3,8,1,5,2,7,6] => [1,4,2,1] => [4,2,1,1] => 4
[5,1,8,3,4,2,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[5,4,8,1,3,2,7,6] => [1,4,2,1] => [4,2,1,1] => 4
[2,1,5,4,8,3,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[5,1,7,6,8,3,4,2] => [2,1,4,1] => [4,2,1,1] => 4
[4,3,7,6,8,1,5,2] => [1,2,4,1] => [4,2,1,1] => 4
[4,3,7,1,8,5,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[4,3,6,5,8,1,7,2] => [1,2,4,1] => [4,2,1,1] => 4
[6,3,5,4,7,2,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,5,4,8,1,7,2] => [1,3,3,1] => [3,3,1,1] => 4
[7,1,6,3,8,4,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[7,4,6,5,8,1,3,2] => [1,2,4,1] => [4,2,1,1] => 4
[2,1,8,4,6,3,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[8,4,6,1,3,2,7,5] => [1,4,2,1] => [4,2,1,1] => 4
[8,1,6,3,4,2,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[8,1,6,3,7,2,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[8,3,5,1,7,2,6,4] => [1,3,3,1] => [3,3,1,1] => 4
[8,3,5,2,6,1,7,4] => [1,3,3,1] => [3,3,1,1] => 4
[7,3,5,2,6,4,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[8,2,6,3,5,1,7,4] => [2,3,2,1] => [3,2,2,1] => 4
[8,2,7,1,5,3,6,4] => [2,3,2,1] => [3,2,2,1] => 4
[8,2,4,1,5,3,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[8,2,4,1,7,3,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[8,2,4,3,6,1,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,8,4,6,1,7,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,8,1,5,4,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[3,2,7,6,8,1,5,4] => [2,1,4,1] => [4,2,1,1] => 4
[3,2,7,1,8,5,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,6,5,8,1,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[6,5,7,2,4,3,8,1] => [1,4,1,2] => [4,2,1,1] => 4
[6,5,8,2,4,1,7,3] => [1,4,2,1] => [4,2,1,1] => 4
[7,2,4,1,8,5,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[7,6,8,2,4,1,5,3] => [1,4,2,1] => [4,2,1,1] => 4
[7,6,8,1,5,2,4,3] => [1,4,2,1] => [4,2,1,1] => 4
[2,1,7,3,8,5,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[7,1,3,2,8,5,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[7,1,8,5,6,2,4,3] => [2,1,4,1] => [4,2,1,1] => 4
[7,1,8,2,6,4,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[7,2,8,1,5,4,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[6,2,7,4,5,3,8,1] => [2,3,1,2] => [3,2,2,1] => 4
[5,4,7,2,6,3,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[5,4,8,2,6,1,7,3] => [1,3,3,1] => [3,3,1,1] => 4
[6,5,8,1,7,2,4,3] => [1,3,3,1] => [3,3,1,1] => 4
[2,1,6,5,8,3,7,4] => [2,1,4,1] => [4,2,1,1] => 4
[6,5,7,4,8,1,3,2] => [1,3,3,1] => [3,3,1,1] => 4
[6,5,7,1,8,3,4,2] => [1,3,3,1] => [3,3,1,1] => 4
[6,1,7,4,8,3,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[5,4,7,1,8,3,6,2] => [1,3,3,1] => [3,3,1,1] => 4
[5,4,6,3,8,1,7,2] => [1,3,3,1] => [3,3,1,1] => 4
[2,1,4,3,6,5,8,7,11,12,10,9] => [2,2,2,2,3,1] => [3,2,2,2,2,1] => 6
[2,1,4,3,6,5,9,11,8,12,10,7] => [2,2,2,3,2,1] => [3,2,2,2,2,1] => 6
[2,1,4,3,7,9,6,10,8,5,12,11] => [2,2,3,2,1,2] => [3,2,2,2,2,1] => 6
[2,1,4,3,7,9,6,11,8,12,10,5] => [2,2,3,2,2,1] => [3,2,2,2,2,1] => 6
[2,1,4,3,7,10,6,11,12,9,8,5] => [2,2,3,3,1,1] => [3,3,2,2,1,1] => 6
[2,1,5,7,4,9,6,11,8,12,10,3] => [2,3,2,2,2,1] => [3,2,2,2,2,1] => 6
[3,4,2,1,6,5,9,10,8,7,12,11] => [3,1,2,3,1,2] => [3,3,2,2,1,1] => 6
[3,4,2,1,6,5,10,11,12,9,8,7] => [3,1,2,4,1,1] => [4,3,2,1,1,1] => 6
[3,5,2,6,4,1,8,7,10,9,12,11] => [3,2,1,2,2,2] => [3,2,2,2,2,1] => 6
[3,5,2,7,4,9,6,10,8,1,12,11] => [3,2,2,2,1,2] => [3,2,2,2,2,1] => 6
[3,5,2,7,4,9,6,11,8,12,10,1] => [3,2,2,2,2,1] => [3,2,2,2,2,1] => 6
[3,5,2,7,4,10,6,11,12,9,8,1] => [3,2,2,3,1,1] => [3,3,2,2,1,1] => 6
[3,6,2,7,8,5,4,1,10,9,12,11] => [3,3,1,1,2,2] => [3,3,2,2,1,1] => 6
[3,6,2,8,9,5,10,7,4,1,12,11] => [3,3,2,1,1,2] => [3,3,2,2,1,1] => 6
[3,6,2,8,10,5,11,7,12,9,4,1] => [3,3,2,2,1,1] => [3,3,2,2,1,1] => 6
[4,5,6,3,2,1,9,10,8,7,12,11] => [4,1,1,3,1,2] => [4,3,2,1,1,1] => 6
[4,5,6,3,2,1,10,11,12,9,8,7] => [4,1,1,4,1,1] => [4,4,1,1,1,1] => 6
[4,6,7,3,9,5,2,10,8,1,12,11] => [4,2,1,2,1,2] => [4,2,2,2,1,1] => 6
[4,6,7,3,10,5,2,11,12,9,8,1] => [4,2,1,3,1,1] => [4,3,2,1,1,1] => 6
[4,7,8,3,9,10,6,5,2,1,12,11] => [4,3,1,1,1,2] => [4,3,2,1,1,1] => 6
[4,7,8,3,10,11,6,5,12,9,2,1] => [4,3,1,2,1,1] => [4,3,2,1,1,1] => 6
[4,8,9,3,10,11,12,7,6,5,2,1] => [4,4,1,1,1,1] => [4,4,1,1,1,1] => 6
[2,8,3,1,5,4,6,7] => [3,2,3] => [3,3,2] => 3
[2,5,3,4,7,1,8,6] => [4,2,2] => [4,2,2] => 3
[2,4,8,3,5,7,6,1] => [5,2,1] => [5,2,1] => 3
[4,2,5,3,1,8,6,7] => [2,2,1,3] => [3,2,2,1] => 4
[4,2,1,8,5,3,6,7] => [2,1,2,3] => [3,2,2,1] => 4
[5,4,1,3,8,2,6,7] => [1,3,4] => [4,3,1] => 3
[5,1,4,8,3,2,6,7] => [2,3,3] => [3,3,2] => 3
[1,5,8,4,3,2,6,7] => [1,3,1,3] => [3,3,1,1] => 4
[1,8,5,4,3,2,6,7] => [1,1,2,1,3] => [3,2,1,1,1] => 5
[1,7,4,3,8,5,2,6] => [1,1,2,2,2] => [2,2,2,1,1] => 5
[1,5,7,3,8,4,2,6] => [1,3,2,2] => [3,2,2,1] => 4
[5,1,4,7,8,3,2,6] => [2,4,2] => [4,2,2] => 3
[4,8,1,5,7,3,6,2] => [3,4,1] => [4,3,1] => 3
[8,1,5,3,7,4,6,2] => [2,2,3,1] => [3,2,2,1] => 4
[3,8,4,7,6,5,2,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[1,6,8,5,3,7,4,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,8,1,7,4,3,5,2] => [3,2,2,1] => [3,2,2,1] => 4
[6,4,8,1,7,3,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[6,4,8,7,1,5,2,3] => [1,2,3,2] => [3,2,2,1] => 4
[7,6,4,1,3,8,2,5] => [1,1,3,3] => [3,3,1,1] => 4
[1,7,5,6,3,2,8,4] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[4,2,1,7,8,5,3,6] => [2,1,3,2] => [3,2,2,1] => 4
[2,7,4,6,3,1,8,5] => [2,3,1,2] => [3,2,2,1] => 4
[2,6,8,4,3,7,5,1] => [4,1,2,1] => [4,2,1,1] => 4
[6,2,4,8,3,7,5,1] => [2,3,2,1] => [3,2,2,1] => 4
[7,2,6,3,4,1,8,5] => [2,3,1,2] => [3,2,2,1] => 4
[2,6,7,3,1,4,8,5] => [4,2,2] => [4,2,2] => 3
[2,7,1,8,3,5,4,6] => [3,3,2] => [3,3,2] => 3
[2,1,7,3,5,8,4,6] => [2,3,3] => [3,3,2] => 3
[8,7,1,3,6,2,4,5] => [1,3,4] => [4,3,1] => 3
[8,2,1,7,3,5,6,4] => [2,1,4,1] => [4,2,1,1] => 4
[7,8,2,6,3,1,5,4] => [3,2,2,1] => [3,2,2,1] => 4
[8,7,2,6,3,5,4,1] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[1,2,8,7,4,5,6,3] => [2,1,4,1] => [4,2,1,1] => 4
[8,3,7,1,5,6,2,4] => [1,5,2] => [5,2,1] => 3
[8,6,1,2,7,5,3,4] => [1,3,2,2] => [3,2,2,1] => 4
[8,1,6,2,7,4,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[1,8,5,2,6,7,4,3] => [1,1,2,3,1] => [3,2,1,1,1] => 5
[5,2,1,8,6,7,4,3] => [2,1,1,3,1] => [3,2,1,1,1] => 5
[2,8,5,7,6,4,3,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[1,7,8,5,2,6,4,3] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[7,8,1,6,4,2,5,3] => [3,2,2,1] => [3,2,2,1] => 4
[7,8,6,1,5,3,2,4] => [2,3,1,2] => [3,2,2,1] => 4
[7,3,8,6,1,5,2,4] => [1,2,3,2] => [3,2,2,1] => 4
[8,7,6,1,5,3,4,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[8,7,1,6,4,5,3,2] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[8,1,7,5,6,4,3,2] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[1,8,6,7,5,4,3,2] => [1,1,3,1,1,1] => [3,1,1,1,1,1] => 6
[6,3,5,2,1,4,8,7] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,5,7,2,8,4,1] => [1,4,2,1] => [4,2,1,1] => 4
[8,5,2,7,4,3,1,6] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[4,5,3,6,1,2,8,7] => [3,3,2] => [3,3,2] => 3
[3,5,1,4,6,2,8,7] => [4,2,2] => [4,2,2] => 3
[8,3,4,5,7,2,1,6] => [1,5,2] => [5,2,1] => 3
[5,7,4,6,3,8,2,1] => [2,3,2,1] => [3,2,2,1] => 4
[2,8,4,6,3,7,1,5] => [2,3,3] => [3,3,2] => 3
[8,1,4,7,3,6,2,5] => [2,4,2] => [4,2,2] => 3
[8,3,4,7,5,1,2,6] => [1,4,3] => [4,3,1] => 3
[8,5,1,4,7,3,2,6] => [1,3,2,2] => [3,2,2,1] => 4
[8,5,3,7,1,4,2,6] => [1,2,3,2] => [3,2,2,1] => 4
[2,1,8,5,7,4,3,6] => [2,1,3,2] => [3,2,2,1] => 4
[6,5,3,7,1,8,4,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,5,1,4,7,8,3,2] => [1,3,3,1] => [3,3,1,1] => 4
[6,3,4,7,5,8,1,2] => [1,4,3] => [4,3,1] => 3
[5,1,4,6,8,3,7,2] => [2,5,1] => [5,2,1] => 3
[4,7,1,3,5,8,6,2] => [5,2,1] => [5,2,1] => 3
[4,8,3,7,1,2,6,5] => [3,4,1] => [4,3,1] => 3
[3,8,6,4,1,7,2,5] => [2,2,1,3] => [3,2,2,1] => 4
[3,8,1,2,5,7,6,4] => [5,2,1] => [5,2,1] => 3
[2,8,7,5,4,1,3,6] => [2,1,2,3] => [3,2,2,1] => 4
[8,7,2,6,4,1,3,5] => [1,2,2,3] => [3,2,2,1] => 4
[3,8,6,7,4,2,1,5] => [2,3,1,2] => [3,2,2,1] => 4
[5,7,6,8,4,2,3,1] => [2,3,2,1] => [3,2,2,1] => 4
[5,3,7,8,2,4,6,1] => [1,6,1] => [6,1,1] => 3
[8,3,6,2,1,4,7,5] => [1,3,3,1] => [3,3,1,1] => 4
[5,3,7,6,2,1,8,4] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[5,3,6,2,8,7,1,4] => [1,3,1,3] => [3,3,1,1] => 4
[5,7,8,6,4,2,1,3] => [3,2,1,2] => [3,2,2,1] => 4
[2,6,7,5,4,8,1,3] => [3,2,3] => [3,3,2] => 3
[6,1,7,4,5,8,2,3] => [2,3,3] => [3,3,2] => 3
[6,7,3,5,1,8,2,4] => [3,2,3] => [3,3,2] => 3
[2,1,6,7,5,8,3,4] => [2,3,3] => [3,3,2] => 3
[2,1,5,7,3,6,8,4] => [2,4,2] => [4,2,2] => 3
[5,7,3,6,1,2,8,4] => [3,3,2] => [3,3,2] => 3
[4,1,7,2,5,6,8,3] => [2,4,2] => [4,2,2] => 3
[2,4,7,1,6,5,8,3] => [4,2,2] => [4,2,2] => 3
[4,6,2,1,8,7,5,3] => [3,1,1,2,1] => [3,2,1,1,1] => 5
[3,4,6,2,7,8,5,1] => [4,3,1] => [4,3,1] => 3
[4,6,1,2,5,8,7,3] => [5,2,1] => [5,2,1] => 3
[5,6,1,4,8,2,7,3] => [4,3,1] => [4,3,1] => 3
[5,6,3,1,8,7,2,4] => [3,1,1,3] => [3,3,1,1] => 4
[3,5,6,4,7,1,8,2] => [4,2,2] => [4,2,2] => 3
[3,4,6,1,5,7,8,2] => [5,3] => [5,3] => 2
[3,4,1,5,7,6,8,2] => [3,3,2] => [3,3,2] => 3
[3,8,2,7,1,6,5,4] => [3,3,1,1] => [3,3,1,1] => 4
[3,8,2,7,6,1,5,4] => [3,1,3,1] => [3,3,1,1] => 4
[3,8,2,7,6,5,1,4] => [3,1,2,2] => [3,2,2,1] => 4
[3,8,2,7,6,5,4,1] => [3,1,2,1,1] => [3,2,1,1,1] => 5
[4,8,7,2,6,5,3,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[4,8,7,2,6,5,1,3] => [2,2,2,2] => [2,2,2,2] => 4
[4,8,7,2,6,1,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[4,8,7,2,1,6,5,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[4,8,7,3,1,6,5,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[4,8,7,3,2,1,6,5] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[4,8,7,3,2,6,1,5] => [2,2,2,2] => [2,2,2,2] => 4
[4,8,7,3,2,6,5,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[4,8,7,3,6,2,5,1] => [2,2,3,1] => [3,2,2,1] => 4
[4,8,7,3,6,2,1,5] => [2,2,2,2] => [2,2,2,2] => 4
[4,8,7,3,6,1,5,2] => [2,2,3,1] => [3,2,2,1] => 4
[4,8,7,3,6,5,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[4,8,7,3,6,5,2,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[5,8,7,6,3,4,2,1] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[5,8,7,6,3,1,4,2] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[5,8,7,6,3,2,4,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[5,8,7,6,2,4,3,1] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[5,8,7,6,2,1,4,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[5,8,7,6,4,2,3,1] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[5,8,7,6,4,2,1,3] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[5,8,7,6,4,1,3,2] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[5,8,7,6,4,3,1,2] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[7,3,4,2,1,6,5,8] => [1,3,2,2] => [3,2,2,1] => 4
[7,3,5,2,6,1,4,8] => [1,3,4] => [4,3,1] => 3
[7,3,5,2,6,4,1,8] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,5,2,7,4,8,1] => [1,3,2,2] => [3,2,2,1] => 4
[7,2,1,5,6,4,3,8] => [2,1,3,2] => [3,2,2,1] => 4
[7,3,5,1,6,4,2,8] => [1,3,2,2] => [3,2,2,1] => 4
[7,4,5,6,1,3,2,8] => [1,5,2] => [5,2,1] => 3
[1,4,5,7,3,2,8,6] => [1,4,1,2] => [4,2,1,1] => 4
[1,4,6,7,3,8,2,5] => [1,4,3] => [4,3,1] => 3
[6,4,5,7,3,1,8,2] => [1,4,1,2] => [4,2,1,1] => 4
[6,4,5,7,1,3,8,2] => [1,5,2] => [5,2,1] => 3
[6,3,5,1,7,4,8,2] => [1,3,2,2] => [3,2,2,1] => 4
[6,2,1,5,7,4,8,3] => [2,1,3,2] => [3,2,2,1] => 4
[3,2,1,5,7,4,8,6] => [2,1,3,2] => [3,2,2,1] => 4
[2,4,6,7,3,8,1,5] => [5,3] => [5,3] => 2
[1,4,6,7,3,8,5,2] => [1,4,2,1] => [4,2,1,1] => 4
[1,5,6,7,8,3,4,2] => [1,6,1] => [6,1,1] => 3
[2,5,6,7,8,3,1,4] => [6,2] => [6,2] => 2
[3,2,1,6,7,8,4,5] => [2,1,5] => [5,2,1] => 3
[5,2,1,6,7,8,4,3] => [2,1,4,1] => [4,2,1,1] => 4
[5,3,6,1,7,8,4,2] => [1,3,3,1] => [3,3,1,1] => 4
[5,4,6,7,1,8,3,2] => [1,4,2,1] => [4,2,1,1] => 4
[1,5,6,7,8,3,2,4] => [1,5,2] => [5,2,1] => 3
[6,4,5,7,2,1,8,3] => [1,4,1,2] => [4,2,1,1] => 4
[5,4,6,7,2,8,3,1] => [1,4,2,1] => [4,2,1,1] => 4
[5,3,6,2,7,8,4,1] => [1,3,3,1] => [3,3,1,1] => 4
[5,3,6,2,7,8,1,4] => [1,3,4] => [4,3,1] => 3
[6,3,5,2,7,1,8,4] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,4,2,1,7,8,5] => [1,3,1,3] => [3,3,1,1] => 4
[5,3,4,1,2,7,8,6] => [1,4,3] => [4,3,1] => 3
[4,3,6,2,7,8,1,5] => [1,3,4] => [4,3,1] => 3
[4,3,6,2,7,8,5,1] => [1,3,3,1] => [3,3,1,1] => 4
[1,3,6,2,7,8,5,4] => [1,3,3,1] => [3,3,1,1] => 4
[1,4,6,7,2,8,5,3] => [1,4,2,1] => [4,2,1,1] => 4
[3,4,6,7,2,8,5,1] => [5,2,1] => [5,2,1] => 3
[3,4,5,7,2,1,8,6] => [5,1,2] => [5,2,1] => 3
[4,2,1,5,7,3,8,6] => [2,1,3,2] => [3,2,2,1] => 4
[4,2,1,6,7,8,3,5] => [2,1,5] => [5,2,1] => 3
[4,3,6,1,7,8,2,5] => [1,3,4] => [4,3,1] => 3
[1,5,6,7,8,2,4,3] => [1,6,1] => [6,1,1] => 3
[1,5,6,7,8,4,2,3] => [1,5,2] => [5,2,1] => 3
[3,4,6,7,1,8,5,2] => [5,2,1] => [5,2,1] => 3
[4,3,6,1,7,8,5,2] => [1,3,3,1] => [3,3,1,1] => 4
[4,2,1,6,7,8,5,3] => [2,1,4,1] => [4,2,1,1] => 4
[2,3,6,1,7,8,5,4] => [4,3,1] => [4,3,1] => 3
[2,4,6,7,1,8,5,3] => [5,2,1] => [5,2,1] => 3
[2,5,6,7,8,1,4,3] => [7,1] => [7,1] => 2
[2,1,4,3,6,5,8,7,9] => [2,2,2,3] => [3,2,2,2] => 4
[2,4,1,3,6,5,8,7,9] => [4,2,3] => [4,3,2] => 3
[2,4,1,6,3,5,8,7,9] => [3,3,3] => [3,3,3] => 3
[2,4,1,6,3,8,5,7,9] => [3,2,4] => [4,3,2] => 3
[2,4,1,6,3,7,5,9,8] => [3,2,2,2] => [3,2,2,2] => 4
[2,4,1,5,3,7,6,9,8] => [3,2,2,2] => [3,2,2,2] => 4
[2,3,1,5,4,7,6,9,8] => [3,2,2,2] => [3,2,2,2] => 4
[1,3,2,5,4,7,6,9,8] => [1,2,2,2,2] => [2,2,2,2,1] => 5
[2,4,1,3,6,5,8,7,10,9] => [4,2,2,2] => [4,2,2,2] => 4
[2,4,6,1,3,5,8,7,9] => [6,3] => [6,3] => 2
[2,4,1,6,3,5,8,7,10,9] => [3,3,2,2] => [3,3,2,2] => 4
[2,4,1,6,8,3,5,7,9] => [3,6] => [6,3] => 2
[2,4,1,6,3,8,5,7,10,9] => [3,2,3,2] => [3,3,2,2] => 4
[2,4,1,6,3,8,9,5,7] => [3,2,4] => [4,3,2] => 3
[2,4,1,6,3,8,5,10,7,9] => [3,2,2,3] => [3,3,2,2] => 4
[2,4,1,6,3,7,5,8,9] => [3,2,4] => [4,3,2] => 3
[2,4,1,6,3,8,5,9,7,10] => [3,2,2,3] => [3,3,2,2] => 4
[2,4,1,5,3,8,6,9,7] => [3,2,2,2] => [3,2,2,2] => 4
[2,4,1,6,3,7,5,9,8,10] => [3,2,2,3] => [3,3,2,2] => 4
[2,3,1,6,4,7,5,9,8] => [3,2,2,2] => [3,2,2,2] => 4
[2,4,1,5,3,7,6,9,8,10] => [3,2,2,3] => [3,3,2,2] => 4
[1,4,2,5,3,7,6,9,8] => [1,2,2,2,2] => [2,2,2,2,1] => 5
[2,3,1,5,4,7,6,9,8,10] => [3,2,2,3] => [3,3,2,2] => 4
[1,3,2,5,4,7,6,9,8,10] => [1,2,2,2,3] => [3,2,2,2,1] => 5
[7,1,2,3,4,5,6,8,9] => [9] => [9] => 1
[1,4,3,6,2,5,7,8] => [1,2,5] => [5,2,1] => 3
[1,4,3,7,2,5,6,8] => [1,2,5] => [5,2,1] => 3
[1,4,3,7,6,8,2,5] => [1,2,1,4] => [4,2,1,1] => 4
[1,4,3,7,5,8,2,6] => [1,2,2,3] => [3,2,2,1] => 4
[1,4,3,7,2,6,5,8] => [1,2,3,2] => [3,2,2,1] => 4
[1,5,3,7,4,8,2,6] => [1,2,2,3] => [3,2,2,1] => 4
[1,3,2,6,5,8,4,7] => [1,2,2,3] => [3,2,2,1] => 4
[1,5,4,8,2,6,3,7] => [1,1,4,2] => [4,2,1,1] => 4
[1,5,4,8,3,7,2,6] => [1,1,3,3] => [3,3,1,1] => 4
[1,2,3,6,5,8,4,7] => [3,2,3] => [3,3,2] => 3
[6,8,2,4,5,7,1,3] => [5,3] => [5,3] => 2
[3,7,8,4,5,2,6,1] => [5,2,1] => [5,2,1] => 3
[7,8,1,4,5,3,6,2] => [5,2,1] => [5,2,1] => 3
[3,8,7,4,1,6,5,2] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[4,8,3,6,1,5,7,2] => [3,4,1] => [4,3,1] => 3
[5,8,3,1,6,4,7,2] => [3,1,3,1] => [3,3,1,1] => 4
[5,8,1,4,7,6,3,2] => [4,2,1,1] => [4,2,1,1] => 4
[7,5,1,8,6,2,4,3] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[7,4,1,8,2,6,3,5] => [1,2,3,2] => [3,2,2,1] => 4
[7,1,8,4,2,6,3,5] => [2,2,2,2] => [2,2,2,2] => 4
[1,6,3,8,5,2,4,7] => [1,2,2,3] => [3,2,2,1] => 4
[6,1,3,8,5,2,4,7] => [3,2,3] => [3,3,2] => 3
[7,1,8,3,6,2,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[7,3,1,8,4,2,6,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[7,2,8,4,1,6,5,3] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[7,2,8,3,6,5,1,4] => [2,2,2,2] => [2,2,2,2] => 4
[7,2,8,3,6,1,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[7,1,8,2,3,6,5,4] => [2,4,1,1] => [4,2,1,1] => 4
[6,1,2,8,3,5,4,7] => [3,3,2] => [3,3,2] => 3
[1,5,2,3,8,4,7,6] => [1,3,3,1] => [3,3,1,1] => 4
[5,1,2,3,8,4,7,6] => [4,3,1] => [4,3,1] => 3
[5,2,3,8,1,4,7,6] => [3,4,1] => [4,3,1] => 3
[6,2,8,1,3,5,4,7] => [2,4,2] => [4,2,2] => 3
[6,2,4,1,8,7,3,5] => [2,2,1,3] => [3,2,2,1] => 4
[6,3,1,4,2,8,5,7] => [1,3,1,3] => [3,3,1,1] => 4
[3,1,6,4,2,8,5,7] => [2,2,1,3] => [3,2,2,1] => 4
[2,6,3,8,7,1,5,4] => [3,1,3,1] => [3,3,1,1] => 4
[2,6,3,8,5,1,4,7] => [3,2,3] => [3,3,2] => 3
[2,5,1,8,3,4,7,6] => [3,4,1] => [4,3,1] => 3
[2,5,1,3,8,4,7,6] => [4,3,1] => [4,3,1] => 3
[1,2,5,3,8,4,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[1,2,4,8,3,7,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[2,4,8,1,3,7,6,5] => [5,2,1] => [5,2,1] => 3
[2,4,8,3,7,1,6,5] => [4,3,1] => [4,3,1] => 3
[2,4,8,3,7,6,1,5] => [4,2,2] => [4,2,2] => 3
[2,5,3,8,1,7,4,6] => [3,2,3] => [3,3,2] => 3
[2,5,4,1,3,8,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[3,1,5,4,8,2,7,6] => [2,2,3,1] => [3,2,2,1] => 4
[5,3,1,4,8,2,7,6] => [1,3,3,1] => [3,3,1,1] => 4
[5,2,3,8,4,7,1,6] => [3,2,3] => [3,3,2] => 3
[4,8,2,3,7,6,1,5] => [4,2,2] => [4,2,2] => 3
[4,8,2,3,7,1,6,5] => [4,3,1] => [4,3,1] => 3
[4,8,1,2,3,7,6,5] => [5,2,1] => [5,2,1] => 3
[1,4,8,2,3,7,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[1,4,8,3,7,2,6,5] => [1,3,3,1] => [3,3,1,1] => 4
[6,3,8,1,5,2,4,7] => [1,4,3] => [4,3,1] => 3
[5,3,8,1,2,4,7,6] => [1,6,1] => [6,1,1] => 3
[5,1,3,8,2,4,7,6] => [3,4,1] => [4,3,1] => 3
[1,5,3,8,2,4,7,6] => [1,2,4,1] => [4,2,1,1] => 4
[1,5,4,8,2,7,6,3] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[5,1,4,8,2,7,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[5,4,8,1,2,7,6,3] => [1,4,2,1] => [4,2,1,1] => 4
[6,5,1,2,8,7,4,3] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[5,3,1,6,4,2,8,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[5,1,6,2,8,7,4,3] => [2,2,1,2,1] => [2,2,2,1,1] => 5
[4,1,5,8,2,7,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[4,1,2,5,8,7,6,3] => [3,2,2,1] => [3,2,2,1] => 4
[1,4,2,5,8,7,6,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[1,3,5,2,8,7,4,6] => [1,3,1,3] => [3,3,1,1] => 4
[3,5,1,2,8,7,4,6] => [4,1,3] => [4,3,1] => 3
[3,6,2,8,7,5,1,4] => [3,1,2,2] => [3,2,2,1] => 4
[4,2,6,1,8,7,3,5] => [2,2,1,3] => [3,2,2,1] => 4
[4,3,1,5,8,2,7,6] => [1,2,4,1] => [4,2,1,1] => 4
[3,5,2,8,7,1,4,6] => [3,1,4] => [4,3,1] => 3
[3,4,8,7,2,6,1,5] => [3,3,2] => [3,3,2] => 3
[3,4,8,7,1,2,6,5] => [3,4,1] => [4,3,1] => 3
[3,4,8,1,7,2,6,5] => [4,3,1] => [4,3,1] => 3
[1,3,4,8,7,2,6,5] => [1,3,3,1] => [3,3,1,1] => 4
[1,3,4,8,2,7,6,5] => [1,4,2,1] => [4,2,1,1] => 4
[3,4,8,1,2,7,6,5] => [5,2,1] => [5,2,1] => 3
[3,4,8,2,7,1,6,5] => [4,3,1] => [4,3,1] => 3
[3,4,8,2,7,6,1,5] => [4,2,2] => [4,2,2] => 3
[4,2,5,8,1,7,6,3] => [2,3,2,1] => [3,2,2,1] => 4
[4,3,1,2,5,8,7,6] => [1,4,2,1] => [4,2,1,1] => 4
[3,1,4,2,5,8,7,6] => [2,3,2,1] => [3,2,2,1] => 4
[2,3,5,1,8,7,6,4] => [4,1,2,1] => [4,2,1,1] => 4
[7,8,2,1,5,3,6,4] => [3,2,2,1] => [3,2,2,1] => 4
[6,4,1,2,7,3,5,8] => [1,3,4] => [4,3,1] => 3
[2,3,7,5,4,1,8,6] => [3,2,1,2] => [3,2,2,1] => 4
[6,3,1,5,4,2,7,8] => [1,2,2,3] => [3,2,2,1] => 4
[7,8,1,5,4,2,6,3] => [3,2,2,1] => [3,2,2,1] => 4
[7,8,3,5,4,1,6,2] => [3,2,2,1] => [3,2,2,1] => 4
[7,8,2,5,4,1,3,6] => [3,2,3] => [3,3,2] => 3
[7,8,2,5,4,6,1,3] => [3,3,2] => [3,3,2] => 3
[6,2,1,5,4,7,3,8] => [2,1,2,3] => [3,2,2,1] => 4
[5,3,6,1,4,7,8,2] => [1,4,3] => [4,3,1] => 3
[5,3,6,2,4,7,1,8] => [1,4,3] => [4,3,1] => 3
[6,4,2,1,7,3,8,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,3,7,5,8,6,1,2] => [1,2,3,2] => [3,2,2,1] => 4
[4,2,7,1,8,3,6,5] => [2,2,3,1] => [3,2,2,1] => 4
[3,2,6,7,4,8,1,5] => [2,3,3] => [3,3,2] => 3
[3,1,6,7,4,8,5,2] => [2,3,2,1] => [3,2,2,1] => 4
[1,7,6,5,3,8,4,2] => [1,1,1,2,2,1] => [2,2,1,1,1,1] => 6
[2,7,6,5,3,8,1,4] => [2,1,2,3] => [3,2,2,1] => 4
[1,7,6,5,2,4,8,3] => [1,1,1,3,2] => [3,2,1,1,1] => 5
[2,7,6,5,3,1,4,8] => [2,1,2,3] => [3,2,2,1] => 4
[2,7,1,4,8,3,5,6] => [4,4] => [4,4] => 2
[3,7,6,4,8,5,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[5,7,6,3,8,4,1,2] => [2,2,2,2] => [2,2,2,2] => 4
[5,1,6,2,4,8,3,7] => [2,3,3] => [3,3,2] => 3
[4,7,6,5,2,1,3,8] => [2,1,2,3] => [3,2,2,1] => 4
[4,7,6,5,2,8,1,3] => [2,1,2,3] => [3,2,2,1] => 4
[4,7,6,5,1,8,3,2] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[1,7,6,5,2,8,3,4] => [1,1,1,2,3] => [3,2,1,1,1] => 5
[1,7,6,5,3,2,8,4] => [1,1,1,2,1,2] => [2,2,1,1,1,1] => 6
[4,7,6,5,1,2,8,3] => [2,1,3,2] => [3,2,2,1] => 4
[4,7,6,5,3,1,8,2] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[6,1,3,5,4,8,7,2] => [3,2,2,1] => [3,2,2,1] => 4
[5,2,6,3,4,1,7,8] => [2,3,3] => [3,3,2] => 3
[5,1,6,2,4,7,8,3] => [2,3,3] => [3,3,2] => 3
[1,2,6,3,4,8,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[1,7,2,4,8,3,6,5] => [1,3,3,1] => [3,3,1,1] => 4
[6,1,4,2,8,3,5,7] => [2,2,4] => [4,2,2] => 3
[4,1,8,2,6,3,5,7] => [2,2,4] => [4,2,2] => 3
[4,7,2,1,5,3,6,8] => [3,2,3] => [3,3,2] => 3
[4,7,1,6,2,3,8,5] => [3,3,2] => [3,3,2] => 3
[1,7,2,6,8,3,5,4] => [1,2,4,1] => [4,2,1,1] => 4
[1,2,6,7,4,8,5,3] => [2,3,2,1] => [3,2,2,1] => 4
[3,1,6,7,4,2,8,5] => [2,3,1,2] => [3,2,2,1] => 4
[3,2,8,5,4,6,1,7] => [2,1,3,2] => [3,2,2,1] => 4
[4,7,6,3,5,8,1,2] => [2,3,3] => [3,3,2] => 3
[4,7,1,2,5,3,8,6] => [5,1,2] => [5,2,1] => 3
[3,7,6,5,2,4,1,8] => [2,1,3,2] => [3,2,2,1] => 4
[3,7,6,5,1,4,8,2] => [2,1,3,2] => [3,2,2,1] => 4
[3,7,6,5,2,1,8,4] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[1,7,6,5,8,2,4,3] => [1,1,1,4,1] => [4,1,1,1,1] => 5
[3,7,6,5,8,1,4,2] => [2,1,4,1] => [4,2,1,1] => 4
[3,7,6,5,1,2,4,8] => [2,1,5] => [5,2,1] => 3
[3,1,6,8,4,2,5,7] => [2,3,3] => [3,3,2] => 3
[4,7,6,8,3,5,1,2] => [2,4,2] => [4,2,2] => 3
[2,7,6,5,1,4,3,8] => [2,1,3,2] => [3,2,2,1] => 4
[2,7,6,5,8,1,3,4] => [2,1,5] => [5,2,1] => 3
[2,7,6,5,8,4,1,3] => [2,1,3,2] => [3,2,2,1] => 4
[6,3,2,1,7,4,8,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,2,1,7,3,5,8,6] => [2,1,3,2] => [3,2,2,1] => 4
[7,3,1,5,4,2,8,6] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[8,4,1,5,2,7,6,3] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,2,5,1,3,7,6,4] => [2,3,2,1] => [3,2,2,1] => 4
[4,3,7,2,1,5,8,6] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,7,4,2,1,8,5] => [1,3,1,1,2] => [3,2,1,1,1] => 5
[4,7,2,5,3,1,8,6] => [3,2,1,2] => [3,2,2,1] => 4
[2,7,5,4,1,3,8,6] => [2,2,2,2] => [2,2,2,2] => 4
[7,5,4,3,2,1,8,6] => [1,1,2,1,1,2] => [2,2,1,1,1,1] => 6
[8,5,3,2,1,7,6,4] => [1,2,1,1,2,1] => [2,2,1,1,1,1] => 6
[6,5,2,1,8,4,3,7] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[4,6,3,2,8,1,5,7] => [3,1,4] => [4,3,1] => 3
[5,7,4,3,2,8,1,6] => [2,2,1,3] => [3,2,2,1] => 4
[1,7,6,2,4,8,3,5] => [1,1,3,3] => [3,3,1,1] => 4
[2,7,3,6,4,8,1,5] => [3,2,3] => [3,3,2] => 3
[6,2,7,5,3,8,1,4] => [2,1,2,3] => [3,2,2,1] => 4
[7,1,8,5,3,6,4,2] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[5,8,1,6,2,7,4,3] => [3,2,2,1] => [3,2,2,1] => 4
[1,8,6,2,3,7,5,4] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[1,8,6,3,2,7,5,4] => [1,1,2,1,2,1] => [2,2,1,1,1,1] => 6
[5,8,3,2,7,1,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[8,7,3,1,6,5,4,2] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[8,7,2,6,1,5,4,3] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[1,8,5,7,4,3,6,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[1,8,5,7,2,4,6,3] => [1,1,5,1] => [5,1,1,1] => 4
[3,8,6,1,7,2,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[5,8,4,6,7,1,3,2] => [2,5,1] => [5,2,1] => 3
[7,2,8,5,6,1,4,3] => [2,1,4,1] => [4,2,1,1] => 4
[6,3,7,5,8,2,1,4] => [1,2,3,2] => [3,2,2,1] => 4
[3,7,2,6,8,4,1,5] => [3,3,2] => [3,3,2] => 3
[3,6,5,8,1,4,2,7] => [2,4,2] => [4,2,2] => 3
[2,6,5,8,4,1,3,7] => [2,3,3] => [3,3,2] => 3
[6,5,4,8,3,2,1,7] => [1,1,3,1,2] => [3,2,1,1,1] => 5
[8,4,3,7,2,1,6,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,2,4,7,1,3,6,5] => [2,5,1] => [5,2,1] => 3
[6,2,5,8,1,4,3,7] => [2,4,2] => [4,2,2] => 3
[4,3,6,8,2,1,5,7] => [1,4,3] => [4,3,1] => 3
[6,3,5,1,8,4,2,7] => [1,3,2,2] => [3,2,2,1] => 4
[8,4,1,5,7,3,6,2] => [1,2,4,1] => [4,2,1,1] => 4
[6,4,2,5,8,3,1,7] => [1,2,3,2] => [3,2,2,1] => 4
[5,4,1,6,8,2,3,7] => [1,2,5] => [5,2,1] => 3
[6,5,2,1,7,8,3,4] => [1,2,1,4] => [4,2,1,1] => 4
[6,3,7,4,8,5,2,1] => [1,3,2,1,1] => [3,2,1,1,1] => 5
[4,7,2,5,8,6,3,1] => [3,3,1,1] => [3,3,1,1] => 4
[6,3,1,8,4,7,5,2] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[6,4,2,8,7,3,5,1] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[6,5,3,8,7,4,1,2] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[8,5,3,7,6,4,2,1] => [1,2,1,2,1,1] => [2,2,1,1,1,1] => 6
[5,4,8,1,7,6,2,3] => [1,3,2,2] => [3,2,2,1] => 4
[5,2,8,1,7,3,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[6,4,8,2,1,7,5,3] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[3,6,8,1,4,7,5,2] => [5,2,1] => [5,2,1] => 3
[5,7,3,8,1,6,4,2] => [3,3,1,1] => [3,3,1,1] => 4
[6,4,7,8,1,5,3,2] => [1,5,1,1] => [5,1,1,1] => 4
[6,3,7,8,5,2,4,1] => [1,4,2,1] => [4,2,1,1] => 4
[2,5,8,7,1,3,6,4] => [3,4,1] => [4,3,1] => 3
[5,3,8,7,2,1,6,4] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[8,3,7,6,1,5,4,2] => [1,2,3,1,1] => [3,2,1,1,1] => 5
[8,2,7,6,5,1,4,3] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[4,3,8,7,6,2,1,5] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[2,4,8,7,6,1,3,5] => [3,1,4] => [4,3,1] => 3
[3,5,8,7,2,6,1,4] => [3,3,2] => [3,3,2] => 3
[4,7,3,8,6,5,1,2] => [3,1,2,2] => [3,2,2,1] => 4
[7,5,8,6,4,3,2,1] => [1,2,2,1,1,1] => [2,2,1,1,1,1] => 6
[5,8,7,3,6,4,2,1] => [2,2,2,1,1] => [2,2,2,1,1] => 5
[4,8,7,6,2,5,3,1] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[3,8,7,6,5,1,4,2] => [2,1,2,2,1] => [2,2,2,1,1] => 5
[2,8,7,6,5,4,1,3] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[3,4,1,2,5,6,7,8,9] => [9] => [9] => 1
[3,2,1,4,5,6,7,8,9] => [2,7] => [7,2] => 2
[4,5,6,1,2,3,7,8,9] => [9] => [9] => 1
[4,2,5,1,3,6,7,8,9] => [2,7] => [7,2] => 2
[4,3,2,1,5,6,7,8,9] => [1,2,6] => [6,2,1] => 3
[5,6,7,8,1,2,3,4,9] => [9] => [9] => 1
[5,2,6,7,1,3,4,8,9] => [2,7] => [7,2] => 2
[5,6,3,4,1,2,7,8,9] => [4,5] => [5,4] => 2
[5,3,2,6,1,4,7,8,9] => [1,2,6] => [6,2,1] => 3
[5,4,3,2,1,6,7,8,9] => [1,2,1,5] => [5,2,1,1] => 4
[6,2,7,8,9,1,3,4,5] => [2,7] => [7,2] => 2
[6,7,3,4,8,1,2,5,9] => [4,5] => [5,4] => 2
[6,3,2,7,8,1,4,5,9] => [1,2,6] => [6,2,1] => 3
[6,4,7,2,5,1,3,8,9] => [1,4,4] => [4,4,1] => 3
[6,4,3,2,7,1,5,8,9] => [1,2,1,5] => [5,2,1,1] => 4
[6,5,4,3,2,1,7,8,9] => [1,1,2,1,4] => [4,2,1,1,1] => 5
[7,4,8,2,5,9,1,3,6] => [1,4,4] => [4,4,1] => 3
[7,4,3,2,8,9,1,5,6] => [1,2,1,5] => [5,2,1,1] => 4
[7,8,5,6,3,4,1,2,9] => [2,4,3] => [4,3,2] => 3
[7,5,3,8,2,6,1,4,9] => [1,2,3,3] => [3,3,2,1] => 4
[7,5,4,3,2,8,1,6,9] => [1,1,2,1,4] => [4,2,1,1,1] => 5
[7,6,5,4,3,2,1,8,9] => [1,1,2,1,1,3] => [3,2,1,1,1,1] => 6
[8,6,9,4,7,2,5,1,3] => [1,3,3,2] => [3,3,2,1] => 4
[8,6,4,3,9,2,7,1,5] => [1,1,2,3,2] => [3,2,2,1,1] => 5
[8,6,5,4,3,2,9,1,7] => [1,1,2,1,1,3] => [3,2,1,1,1,1] => 6
[3,4,1,2,5,6,7,8,9,10] => [10] => [10] => 1
[3,2,1,4,5,6,7,8,9,10] => [2,8] => [8,2] => 2
[4,5,6,1,2,3,7,8,9,10] => [10] => [10] => 1
[4,2,5,1,3,6,7,8,9,10] => [2,8] => [8,2] => 2
[4,3,2,1,5,6,7,8,9,10] => [1,2,7] => [7,2,1] => 3
[5,6,7,8,1,2,3,4,9,10] => [10] => [10] => 1
[5,2,6,7,1,3,4,8,9,10] => [2,8] => [8,2] => 2
[5,6,3,4,1,2,7,8,9,10] => [4,6] => [6,4] => 2
[5,3,2,6,1,4,7,8,9,10] => [1,2,7] => [7,2,1] => 3
[5,4,3,2,1,6,7,8,9,10] => [1,2,1,6] => [6,2,1,1] => 4
[6,2,7,8,9,1,3,4,5,10] => [2,8] => [8,2] => 2
[6,7,3,4,8,1,2,5,9,10] => [4,6] => [6,4] => 2
[6,3,2,7,8,1,4,5,9,10] => [1,2,7] => [7,2,1] => 3
[6,4,7,2,5,1,3,8,9,10] => [1,4,5] => [5,4,1] => 3
[6,4,3,2,7,1,5,8,9,10] => [1,2,1,6] => [6,2,1,1] => 4
[6,5,4,3,2,1,7,8,9,10] => [1,1,2,1,5] => [5,2,1,1,1] => 5
[7,8,3,4,9,10,1,2,5,6] => [4,6] => [6,4] => 2
[7,8,9,4,5,6,1,2,3,10] => [6,4] => [6,4] => 2
[7,4,3,2,8,9,1,5,6,10] => [1,2,1,6] => [6,2,1,1] => 4
[7,8,5,6,3,4,1,2,9,10] => [2,4,4] => [4,4,2] => 3
[7,5,3,8,2,6,1,4,9,10] => [1,2,3,4] => [4,3,2,1] => 4
[7,5,4,3,2,8,1,6,9,10] => [1,1,2,1,5] => [5,2,1,1,1] => 5
[7,6,5,4,3,2,1,8,9,10] => [1,1,2,1,1,4] => [4,2,1,1,1,1] => 6
[8,5,9,10,2,6,7,1,3,4] => [1,6,3] => [6,3,1] => 3
[8,5,3,9,2,6,10,1,4,7] => [1,2,3,4] => [4,3,2,1] => 4
[8,6,9,4,7,2,5,1,3,10] => [1,3,3,3] => [3,3,3,1] => 4
[8,6,4,3,9,2,7,1,5,10] => [1,1,2,3,3] => [3,3,2,1,1] => 5
[8,6,5,4,3,2,9,1,7,10] => [1,1,2,1,1,4] => [4,2,1,1,1,1] => 6
[8,7,6,5,4,3,2,1,9,10] => [1,1,1,2,1,1,3] => [3,2,1,1,1,1,1] => 7
[9,7,5,4,3,10,2,8,1,6] => [1,1,2,1,3,2] => [3,2,2,1,1,1] => 6
[3,6,5,1,2,4,8,7] => [2,4,2] => [4,2,2] => 3
[3,7,5,8,2,4,1,6] => [2,4,2] => [4,2,2] => 3
[3,8,5,7,2,4,1,6] => [2,4,2] => [4,2,2] => 3
[5,1,7,8,4,3,2,6] => [2,3,1,2] => [3,2,2,1] => 4
[5,1,2,6,4,3,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[6,1,2,5,4,3,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[5,1,2,4,6,3,8,7] => [4,2,2] => [4,2,2] => 3
[4,1,2,6,5,3,8,7] => [3,2,1,2] => [3,2,2,1] => 4
[4,1,5,7,8,3,2,6] => [2,4,2] => [4,2,2] => 3
[4,1,5,8,7,3,2,6] => [2,2,2,2] => [2,2,2,2] => 4
[4,7,1,8,3,6,2,5] => [3,3,2] => [3,3,2] => 3
[4,1,7,8,5,2,3,6] => [2,3,3] => [3,3,2] => 3
[5,1,7,4,8,2,3,6] => [2,2,4] => [4,2,2] => 3
[7,5,3,8,1,4,2,6] => [1,2,3,2] => [3,2,2,1] => 4
[2,1,5,8,7,3,4,6] => [2,2,4] => [4,2,2] => 3
[5,1,8,4,7,2,3,6] => [2,2,4] => [4,2,2] => 3
[4,1,8,7,5,2,3,6] => [2,1,2,3] => [3,2,2,1] => 4
[4,7,1,6,3,2,8,5] => [3,2,1,2] => [3,2,2,1] => 4
[6,1,2,3,7,5,8,4] => [4,2,2] => [4,2,2] => 3
[7,1,2,3,8,6,5,4] => [4,2,1,1] => [4,2,1,1] => 4
[7,1,2,3,5,8,6,4] => [5,2,1] => [5,2,1] => 3
[6,8,1,4,3,7,2,5] => [4,1,3] => [4,3,1] => 3
[8,7,3,2,4,1,6,5] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[2,1,7,3,4,8,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[7,8,3,2,4,1,6,5] => [3,2,2,1] => [3,2,2,1] => 4
[6,7,1,4,3,8,2,5] => [4,1,3] => [4,3,1] => 3
[8,1,2,3,5,7,6,4] => [5,2,1] => [5,2,1] => 3
[8,1,2,3,6,7,5,4] => [4,3,1] => [4,3,1] => 3
[7,1,2,3,6,8,5,4] => [4,3,1] => [4,3,1] => 3
[7,1,2,3,8,5,6,4] => [4,3,1] => [4,3,1] => 3
[8,1,2,3,7,5,6,4] => [4,3,1] => [4,3,1] => 3
[8,1,2,3,6,5,7,4] => [4,3,1] => [4,3,1] => 3
[7,1,8,5,4,3,2,6] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[7,8,2,6,3,4,1,5] => [3,3,2] => [3,3,2] => 3
[6,8,2,7,3,4,1,5] => [3,3,2] => [3,3,2] => 3
[6,7,2,8,3,4,1,5] => [3,3,2] => [3,3,2] => 3
[3,8,7,1,4,2,6,5] => [2,3,2,1] => [3,2,2,1] => 4
[3,7,8,1,4,2,6,5] => [5,2,1] => [5,2,1] => 3
[3,6,8,1,4,2,7,5] => [5,2,1] => [5,2,1] => 3
[3,5,7,8,2,4,1,6] => [6,2] => [6,2] => 2
[3,6,7,1,4,2,8,5] => [5,1,2] => [5,2,1] => 3
[7,6,2,8,3,1,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[8,6,2,7,3,1,4,5] => [1,2,2,3] => [3,2,2,1] => 4
[8,1,7,5,4,3,2,6] => [2,1,2,1,2] => [2,2,2,1,1] => 5
[8,1,7,4,5,3,2,6] => [2,3,1,2] => [3,2,2,1] => 4
[5,8,3,7,1,4,2,6] => [3,3,2] => [3,3,2] => 3
[2,1,7,3,4,6,8,5] => [2,4,2] => [4,2,2] => 3
[6,7,3,2,4,1,8,5] => [3,2,1,2] => [3,2,2,1] => 4
[8,7,2,4,3,6,1,5] => [1,3,2,2] => [3,2,2,1] => 4
[7,1,2,3,5,6,8,4] => [6,2] => [6,2] => 2
[6,1,2,3,8,7,4,5] => [4,1,3] => [4,3,1] => 3
[5,1,2,3,7,8,6,4] => [4,3,1] => [4,3,1] => 3
[5,1,2,3,8,7,6,4] => [4,1,2,1] => [4,2,1,1] => 4
[5,1,2,3,8,6,7,4] => [4,3,1] => [4,3,1] => 3
[6,1,2,3,5,8,7,4] => [5,2,1] => [5,2,1] => 3
[8,6,2,4,3,1,7,5] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[7,6,3,2,4,8,1,5] => [1,2,2,3] => [3,2,2,1] => 4
[2,1,6,3,4,8,7,5] => [2,3,2,1] => [3,2,2,1] => 4
[8,6,3,2,4,7,1,5] => [1,2,2,3] => [3,2,2,1] => 4
[7,6,2,4,3,1,8,5] => [1,3,1,1,2] => [3,2,1,1,1] => 5
[6,1,2,3,5,7,8,4] => [5,3] => [5,3] => 2
[5,1,2,3,6,8,7,4] => [4,3,1] => [4,3,1] => 3
[7,8,1,2,6,3,5,4] => [4,3,1] => [4,3,1] => 3
[1,4,8,2,7,3,5,6] => [1,3,4] => [4,3,1] => 3
[1,2,8,5,4,7,3,6] => [2,1,2,3] => [3,2,2,1] => 4
[1,3,8,5,4,2,7,6] => [1,2,2,2,1] => [2,2,2,1,1] => 5
[2,3,6,8,4,7,1,5] => [5,3] => [5,3] => 2
[1,3,6,8,4,7,5,2] => [1,4,2,1] => [4,2,1,1] => 4
[2,4,8,1,7,3,6,5] => [4,3,1] => [4,3,1] => 3
[3,4,8,5,7,6,1,2] => [3,3,2] => [3,3,2] => 3
[1,2,6,8,4,5,7,3] => [2,5,1] => [5,2,1] => 3
[7,5,1,2,4,3,6,8] => [1,4,3] => [4,3,1] => 3
[7,4,6,1,5,2,3,8] => [1,4,3] => [4,3,1] => 3
[7,1,4,2,6,3,5,8] => [2,2,4] => [4,2,2] => 3
[6,8,1,4,7,2,3,5] => [4,4] => [4,4] => 2
[1,6,4,2,8,3,5,7] => [1,1,2,4] => [4,2,1,1] => 4
[1,6,3,8,5,4,2,7] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[6,8,1,7,3,5,4,2] => [3,3,1,1] => [3,3,1,1] => 4
[7,1,3,6,5,4,2,8] => [3,2,1,2] => [3,2,2,1] => 4
[7,3,1,6,5,4,2,8] => [1,2,2,1,2] => [2,2,2,1,1] => 5
[7,2,1,4,6,3,5,8] => [2,2,4] => [4,2,2] => 3
[7,2,3,6,5,1,4,8] => [3,2,3] => [3,3,2] => 3
[7,1,2,3,6,5,4,8] => [4,2,2] => [4,2,2] => 3
[6,8,1,2,7,3,5,4] => [4,3,1] => [4,3,1] => 3
[1,6,2,3,8,5,4,7] => [1,3,2,2] => [3,2,2,1] => 4
[1,5,8,2,7,6,3,4] => [1,3,2,2] => [3,2,2,1] => 4
[5,1,8,2,7,6,3,4] => [2,2,2,2] => [2,2,2,2] => 4
[5,8,2,7,6,3,4,1] => [3,1,3,1] => [3,3,1,1] => 4
[6,2,8,1,7,3,5,4] => [2,2,3,1] => [3,2,2,1] => 4
[6,8,2,1,7,4,3,5] => [3,1,2,2] => [3,2,2,1] => 4
[3,6,4,1,2,8,5,7] => [2,3,3] => [3,3,2] => 3
[2,1,6,3,8,5,4,7] => [2,2,2,2] => [2,2,2,2] => 4
[2,5,1,8,7,6,3,4] => [3,1,2,2] => [3,2,2,1] => 4
[2,5,3,8,7,4,6,1] => [3,1,3,1] => [3,3,1,1] => 4
[1,2,5,3,8,7,4,6] => [2,2,1,3] => [3,2,2,1] => 4
[2,4,8,7,6,5,1,3] => [3,1,2,2] => [3,2,2,1] => 4
[2,5,3,8,7,1,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[2,5,8,4,1,7,6,3] => [4,1,2,1] => [4,2,1,1] => 4
[3,5,8,7,1,4,2,6] => [3,3,2] => [3,3,2] => 3
[5,3,8,4,1,7,6,2] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[4,2,8,7,6,3,5,1] => [2,1,1,3,1] => [3,2,1,1,1] => 5
[4,2,8,7,6,5,3,1] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 6
[4,1,8,7,6,5,3,2] => [2,1,1,2,1,1] => [2,2,1,1,1,1] => 6
[4,3,8,7,6,5,1,2] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[6,3,1,8,7,2,5,4] => [1,2,1,3,1] => [3,2,1,1,1] => 5
[5,8,3,7,6,1,4,2] => [3,1,3,1] => [3,3,1,1] => 4
[5,1,3,8,7,6,2,4] => [3,1,2,2] => [3,2,2,1] => 4
[1,5,3,8,7,6,2,4] => [1,2,1,2,2] => [2,2,2,1,1] => 5
[1,5,8,4,7,2,6,3] => [1,3,3,1] => [3,3,1,1] => 4
[5,1,8,4,7,2,6,3] => [2,2,3,1] => [3,2,2,1] => 4
[5,8,7,4,6,1,2,3] => [2,2,4] => [4,2,2] => 3
[6,8,5,1,2,4,7,3] => [2,5,1] => [5,2,1] => 3
[5,6,3,1,2,4,8,7] => [3,3,2] => [3,3,2] => 3
[5,6,2,4,3,1,8,7] => [4,1,1,2] => [4,2,1,1] => 4
[5,6,1,2,4,3,8,7] => [5,1,2] => [5,2,1] => 3
[4,5,8,1,7,2,3,6] => [4,4] => [4,4] => 2
[4,5,8,1,7,2,6,3] => [4,3,1] => [4,3,1] => 3
[1,3,2,5,8,7,4,6] => [1,2,2,3] => [3,2,2,1] => 4
[3,5,1,8,7,4,6,2] => [3,1,3,1] => [3,3,1,1] => 4
[3,5,1,8,7,2,6,4] => [3,1,3,1] => [3,3,1,1] => 4
[4,3,6,1,2,8,5,7] => [1,4,3] => [4,3,1] => 3
[4,5,8,3,1,7,2,6] => [4,1,3] => [4,3,1] => 3
[4,5,2,8,7,1,3,6] => [3,1,4] => [4,3,1] => 3
[3,2,5,8,7,1,6,4] => [2,2,3,1] => [3,2,2,1] => 4
[3,4,8,7,6,2,1,5] => [3,1,2,2] => [3,2,2,1] => 4
[3,1,4,8,7,6,2,5] => [2,2,2,2] => [2,2,2,2] => 4
[3,4,8,7,6,5,1,2] => [3,1,2,2] => [3,2,2,1] => 4
[1,3,4,8,7,6,2,5] => [1,3,2,2] => [3,2,2,1] => 4
[3,4,8,7,6,2,5,1] => [3,1,3,1] => [3,3,1,1] => 4
[3,2,5,8,7,4,6,1] => [2,2,3,1] => [3,2,2,1] => 4
[4,5,8,3,1,7,6,2] => [4,1,2,1] => [4,2,1,1] => 4
[2,1,3,5,8,7,4,6] => [3,2,3] => [3,3,2] => 3
[1,2,7,5,8,6,4,3] => [2,1,3,1,1] => [3,2,1,1,1] => 5
[7,1,4,8,2,6,5,3] => [2,4,1,1] => [4,2,1,1] => 4
[6,8,1,3,7,5,2,4] => [4,2,2] => [4,2,2] => 3
[3,7,8,1,2,6,5,4] => [6,1,1] => [6,1,1] => 3
[1,3,7,8,2,6,5,4] => [1,5,1,1] => [5,1,1,1] => 4
[2,3,7,8,1,6,5,4] => [6,1,1] => [6,1,1] => 3
[2,7,8,1,3,6,5,4] => [6,1,1] => [6,1,1] => 3
[8,1,2,6,7,3,5,4] => [3,4,1] => [4,3,1] => 3
[8,1,2,6,7,5,3,4] => [3,3,2] => [3,3,2] => 3
[8,2,5,7,1,3,6,4] => [2,5,1] => [5,2,1] => 3
[2,8,1,6,7,3,5,4] => [3,4,1] => [4,3,1] => 3
[2,6,8,3,7,1,5,4] => [4,3,1] => [4,3,1] => 3
[2,8,6,4,7,1,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[6,8,3,4,1,7,5,2] => [4,1,2,1] => [4,2,1,1] => 4
[6,8,3,7,4,1,5,2] => [3,2,2,1] => [3,2,2,1] => 4
[2,6,8,3,7,5,1,4] => [4,2,2] => [4,2,2] => 3
[2,8,1,6,7,5,3,4] => [3,3,2] => [3,3,2] => 3
[8,2,5,7,1,6,3,4] => [2,4,2] => [4,2,2] => 3
[8,4,7,2,3,6,1,5] => [1,5,2] => [5,2,1] => 3
[8,5,7,4,2,6,1,3] => [1,3,2,2] => [3,2,2,1] => 4
[8,3,5,7,4,1,6,2] => [1,4,2,1] => [4,2,1,1] => 4
[8,5,2,4,7,1,6,3] => [1,3,3,1] => [3,3,1,1] => 4
[8,2,3,5,7,1,6,4] => [3,4,1] => [4,3,1] => 3
[8,2,4,7,3,6,1,5] => [2,4,2] => [4,2,2] => 3
[8,2,7,1,4,6,3,5] => [2,4,2] => [4,2,2] => 3
[8,7,1,2,4,6,3,5] => [1,5,2] => [5,2,1] => 3
[8,7,1,4,6,2,3,5] => [1,3,4] => [4,3,1] => 3
[8,4,7,1,3,6,2,5] => [1,5,2] => [5,2,1] => 3
[1,6,8,3,7,2,5,4] => [1,3,3,1] => [3,3,1,1] => 4
[8,3,5,7,1,2,6,4] => [1,6,1] => [6,1,1] => 3
[5,8,7,1,3,6,2,4] => [2,4,2] => [4,2,2] => 3
[8,5,4,7,1,6,2,3] => [1,1,4,2] => [4,2,1,1] => 4
[8,5,4,7,1,2,6,3] => [1,1,5,1] => [5,1,1,1] => 4
[8,5,1,4,7,2,6,3] => [1,3,3,1] => [3,3,1,1] => 4
[1,4,6,8,2,7,5,3] => [1,4,2,1] => [4,2,1,1] => 4
[1,6,5,8,2,7,4,3] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[8,5,6,3,1,7,4,2] => [1,3,1,2,1] => [3,2,1,1,1] => 5
[5,6,2,8,1,7,4,3] => [3,2,2,1] => [3,2,2,1] => 4
[1,8,4,5,7,2,6,3] => [1,1,5,1] => [5,1,1,1] => 4
[5,8,7,3,6,1,2,4] => [2,2,4] => [4,2,2] => 3
[8,3,5,7,1,6,2,4] => [1,5,2] => [5,2,1] => 3
[1,6,8,3,7,5,2,4] => [1,3,2,2] => [3,2,2,1] => 4
[6,3,8,2,7,5,1,4] => [1,3,2,2] => [3,2,2,1] => 4
[6,8,4,2,7,1,5,3] => [2,2,3,1] => [3,2,2,1] => 4
[8,6,4,7,3,1,5,2] => [1,1,3,2,1] => [3,2,1,1,1] => 5
[8,4,5,7,3,1,6,2] => [1,4,2,1] => [4,2,1,1] => 4
[8,4,2,5,7,1,6,3] => [1,2,4,1] => [4,2,1,1] => 4
[8,3,4,7,2,6,1,5] => [1,5,2] => [5,2,1] => 3
[8,7,1,3,4,6,2,5] => [1,5,2] => [5,2,1] => 3
[8,3,7,2,4,6,1,5] => [1,5,2] => [5,2,1] => 3
[2,8,4,5,7,1,6,3] => [2,5,1] => [5,2,1] => 3
[8,7,3,4,5,1,6,2] => [1,4,2,1] => [4,2,1,1] => 4
[8,7,4,5,2,6,1,3] => [1,1,4,2] => [4,2,1,1] => 4
[5,8,7,2,3,6,1,4] => [2,4,2] => [4,2,2] => 3
[8,7,2,3,4,6,1,5] => [1,5,2] => [5,2,1] => 3
[8,7,2,3,6,1,4,5] => [1,3,4] => [4,3,1] => 3
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Generating function
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Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
4,2 8,14,2 16,66,36,2 32,262,342,82,2 64,946,2416,1436,176,2
$F_{1} = q$
$F_{2} = 2\ q$
$F_{3} = 4\ q + 2\ q^{2}$
$F_{4} = 8\ q + 14\ q^{2} + 2\ q^{3}$
$F_{5} = 16\ q + 66\ q^{2} + 36\ q^{3} + 2\ q^{4}$
$F_{6} = 32\ q + 262\ q^{2} + 342\ q^{3} + 82\ q^{4} + 2\ q^{5}$
$F_{7} = 64\ q + 946\ q^{2} + 2416\ q^{3} + 1436\ q^{4} + 176\ q^{5} + 2\ q^{6}$
Description
The length of the partition.
Map
DEX composition
Description
The DEX composition of a permutation.
Let $\pi$ be a permutation in $\mathfrak S_n$. Let $\bar\pi$ be the word in the ordered set $\bar 1 < \dots < \bar n < 1 \dots < n$ obtained from $\pi$ by replacing every excedance $\pi(i) > i$ by $\overline{\pi(i)}$. Then the DEX set of $\pi$ is the set of indices $1 \leq i < n$ such that $\bar\pi(i) > \bar\pi(i+1)$. Finally, the DEX composition $c_1, \dots, c_k$ of $n$ corresponds to the DEX subset $\{c_1, c_1 + c_2, \dots, c_1 + \dots + c_{k-1}\}$.
The (quasi)symmetric function
$$ \sum_{\pi\in\mathfrak S_{\lambda, j}} F_{DEX(\pi)}, $$
where the sum is over the set of permutations of cycle type $\lambda$ with $j$ excedances, is the Eulerian quasisymmetric function.
Let $\pi$ be a permutation in $\mathfrak S_n$. Let $\bar\pi$ be the word in the ordered set $\bar 1 < \dots < \bar n < 1 \dots < n$ obtained from $\pi$ by replacing every excedance $\pi(i) > i$ by $\overline{\pi(i)}$. Then the DEX set of $\pi$ is the set of indices $1 \leq i < n$ such that $\bar\pi(i) > \bar\pi(i+1)$. Finally, the DEX composition $c_1, \dots, c_k$ of $n$ corresponds to the DEX subset $\{c_1, c_1 + c_2, \dots, c_1 + \dots + c_{k-1}\}$.
The (quasi)symmetric function
$$ \sum_{\pi\in\mathfrak S_{\lambda, j}} F_{DEX(\pi)}, $$
where the sum is over the set of permutations of cycle type $\lambda$ with $j$ excedances, is the Eulerian quasisymmetric function.
Map
to partition
Description
Sends a composition to the partition obtained by sorting the entries.
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