Identifier
Mp00052:
Parking functions
—to non-decreasing parking function⟶
Parking functions
Mp00319: Parking functions —to composition⟶ Integer compositions
Mp00133: Integer compositions —delta morphism⟶ Integer compositions
Mp00319: Parking functions —to composition⟶ Integer compositions
Mp00133: Integer compositions —delta morphism⟶ Integer compositions
Images
[1] => [1] => [1] => [1]
[1,1] => [1,1] => [1,1] => [2]
[1,2] => [1,2] => [1,2] => [1,1]
[2,1] => [1,2] => [1,2] => [1,1]
[1,1,1] => [1,1,1] => [1,1,1] => [3]
[1,1,2] => [1,1,2] => [1,1,2] => [2,1]
[1,2,1] => [1,1,2] => [1,1,2] => [2,1]
[2,1,1] => [1,1,2] => [1,1,2] => [2,1]
[1,1,3] => [1,1,3] => [1,1,3] => [2,1]
[1,3,1] => [1,1,3] => [1,1,3] => [2,1]
[3,1,1] => [1,1,3] => [1,1,3] => [2,1]
[1,2,2] => [1,2,2] => [1,2,2] => [1,2]
[2,1,2] => [1,2,2] => [1,2,2] => [1,2]
[2,2,1] => [1,2,2] => [1,2,2] => [1,2]
[1,2,3] => [1,2,3] => [1,2,3] => [1,1,1]
[1,3,2] => [1,2,3] => [1,2,3] => [1,1,1]
[2,1,3] => [1,2,3] => [1,2,3] => [1,1,1]
[2,3,1] => [1,2,3] => [1,2,3] => [1,1,1]
[3,1,2] => [1,2,3] => [1,2,3] => [1,1,1]
[3,2,1] => [1,2,3] => [1,2,3] => [1,1,1]
[1,1,1,1] => [1,1,1,1] => [1,1,1,1] => [4]
[1,1,1,2] => [1,1,1,2] => [1,1,1,2] => [3,1]
[1,1,2,1] => [1,1,1,2] => [1,1,1,2] => [3,1]
[1,2,1,1] => [1,1,1,2] => [1,1,1,2] => [3,1]
[2,1,1,1] => [1,1,1,2] => [1,1,1,2] => [3,1]
[1,1,1,3] => [1,1,1,3] => [1,1,1,3] => [3,1]
[1,1,3,1] => [1,1,1,3] => [1,1,1,3] => [3,1]
[1,3,1,1] => [1,1,1,3] => [1,1,1,3] => [3,1]
[3,1,1,1] => [1,1,1,3] => [1,1,1,3] => [3,1]
[1,1,1,4] => [1,1,1,4] => [1,1,1,4] => [3,1]
[1,1,4,1] => [1,1,1,4] => [1,1,1,4] => [3,1]
[1,4,1,1] => [1,1,1,4] => [1,1,1,4] => [3,1]
[4,1,1,1] => [1,1,1,4] => [1,1,1,4] => [3,1]
[1,1,2,2] => [1,1,2,2] => [1,1,2,2] => [2,2]
[1,2,1,2] => [1,1,2,2] => [1,1,2,2] => [2,2]
[1,2,2,1] => [1,1,2,2] => [1,1,2,2] => [2,2]
[2,1,1,2] => [1,1,2,2] => [1,1,2,2] => [2,2]
[2,1,2,1] => [1,1,2,2] => [1,1,2,2] => [2,2]
[2,2,1,1] => [1,1,2,2] => [1,1,2,2] => [2,2]
[1,1,2,3] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[1,1,3,2] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[1,2,1,3] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[1,2,3,1] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[1,3,1,2] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[1,3,2,1] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[2,1,1,3] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[2,1,3,1] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[2,3,1,1] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[3,1,1,2] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[3,1,2,1] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[3,2,1,1] => [1,1,2,3] => [1,1,2,3] => [2,1,1]
[1,1,2,4] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[1,1,4,2] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[1,2,1,4] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[1,2,4,1] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[1,4,1,2] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[1,4,2,1] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[2,1,1,4] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[2,1,4,1] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[2,4,1,1] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[4,1,1,2] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[4,1,2,1] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[4,2,1,1] => [1,1,2,4] => [1,1,2,4] => [2,1,1]
[1,1,3,3] => [1,1,3,3] => [1,1,3,3] => [2,2]
[1,3,1,3] => [1,1,3,3] => [1,1,3,3] => [2,2]
[1,3,3,1] => [1,1,3,3] => [1,1,3,3] => [2,2]
[3,1,1,3] => [1,1,3,3] => [1,1,3,3] => [2,2]
[3,1,3,1] => [1,1,3,3] => [1,1,3,3] => [2,2]
[3,3,1,1] => [1,1,3,3] => [1,1,3,3] => [2,2]
[1,1,3,4] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[1,1,4,3] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[1,3,1,4] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[1,3,4,1] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[1,4,1,3] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[1,4,3,1] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[3,1,1,4] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[3,1,4,1] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[3,4,1,1] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[4,1,1,3] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[4,1,3,1] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[4,3,1,1] => [1,1,3,4] => [1,1,3,4] => [2,1,1]
[1,2,2,2] => [1,2,2,2] => [1,2,2,2] => [1,3]
[2,1,2,2] => [1,2,2,2] => [1,2,2,2] => [1,3]
[2,2,1,2] => [1,2,2,2] => [1,2,2,2] => [1,3]
[2,2,2,1] => [1,2,2,2] => [1,2,2,2] => [1,3]
[1,2,2,3] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[1,2,3,2] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[1,3,2,2] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[2,1,2,3] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[2,1,3,2] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[2,2,1,3] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[2,2,3,1] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[2,3,1,2] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[2,3,2,1] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[3,1,2,2] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[3,2,1,2] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[3,2,2,1] => [1,2,2,3] => [1,2,2,3] => [1,2,1]
[1,2,2,4] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
[1,2,4,2] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
[1,4,2,2] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
[2,1,2,4] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
>>> Load all 1208 entries. <<<
[2,1,4,2] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
[2,2,1,4] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
[2,2,4,1] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
[2,4,1,2] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
[2,4,2,1] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
[4,1,2,2] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
[4,2,1,2] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
[4,2,2,1] => [1,2,2,4] => [1,2,2,4] => [1,2,1]
[1,2,3,3] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[1,3,2,3] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[1,3,3,2] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[2,1,3,3] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[2,3,1,3] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[2,3,3,1] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[3,1,2,3] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[3,1,3,2] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[3,2,1,3] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[3,2,3,1] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[3,3,1,2] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[3,3,2,1] => [1,2,3,3] => [1,2,3,3] => [1,1,2]
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[1,2,4,3] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[1,3,2,4] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[1,3,4,2] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[1,4,2,3] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[1,4,3,2] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[2,1,3,4] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[2,1,4,3] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[2,3,1,4] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[2,3,4,1] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[2,4,1,3] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[2,4,3,1] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[3,1,2,4] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[3,1,4,2] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[3,2,1,4] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[3,2,4,1] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[3,4,1,2] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[3,4,2,1] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[4,1,2,3] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[4,1,3,2] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[4,2,1,3] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[4,2,3,1] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[4,3,1,2] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[4,3,2,1] => [1,2,3,4] => [1,2,3,4] => [1,1,1,1]
[1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1,1] => [5]
[1,1,1,1,2] => [1,1,1,1,2] => [1,1,1,1,2] => [4,1]
[1,1,1,2,1] => [1,1,1,1,2] => [1,1,1,1,2] => [4,1]
[1,1,2,1,1] => [1,1,1,1,2] => [1,1,1,1,2] => [4,1]
[1,2,1,1,1] => [1,1,1,1,2] => [1,1,1,1,2] => [4,1]
[2,1,1,1,1] => [1,1,1,1,2] => [1,1,1,1,2] => [4,1]
[1,1,1,1,3] => [1,1,1,1,3] => [1,1,1,1,3] => [4,1]
[1,1,1,3,1] => [1,1,1,1,3] => [1,1,1,1,3] => [4,1]
[1,1,3,1,1] => [1,1,1,1,3] => [1,1,1,1,3] => [4,1]
[1,3,1,1,1] => [1,1,1,1,3] => [1,1,1,1,3] => [4,1]
[3,1,1,1,1] => [1,1,1,1,3] => [1,1,1,1,3] => [4,1]
[1,1,1,1,4] => [1,1,1,1,4] => [1,1,1,1,4] => [4,1]
[1,1,1,4,1] => [1,1,1,1,4] => [1,1,1,1,4] => [4,1]
[1,1,4,1,1] => [1,1,1,1,4] => [1,1,1,1,4] => [4,1]
[1,4,1,1,1] => [1,1,1,1,4] => [1,1,1,1,4] => [4,1]
[4,1,1,1,1] => [1,1,1,1,4] => [1,1,1,1,4] => [4,1]
[1,1,1,1,5] => [1,1,1,1,5] => [1,1,1,1,5] => [4,1]
[1,1,1,5,1] => [1,1,1,1,5] => [1,1,1,1,5] => [4,1]
[1,1,5,1,1] => [1,1,1,1,5] => [1,1,1,1,5] => [4,1]
[1,5,1,1,1] => [1,1,1,1,5] => [1,1,1,1,5] => [4,1]
[5,1,1,1,1] => [1,1,1,1,5] => [1,1,1,1,5] => [4,1]
[1,1,1,2,2] => [1,1,1,2,2] => [1,1,1,2,2] => [3,2]
[1,1,2,1,2] => [1,1,1,2,2] => [1,1,1,2,2] => [3,2]
[1,1,2,2,1] => [1,1,1,2,2] => [1,1,1,2,2] => [3,2]
[1,2,1,1,2] => [1,1,1,2,2] => [1,1,1,2,2] => [3,2]
[1,2,1,2,1] => [1,1,1,2,2] => [1,1,1,2,2] => [3,2]
[1,2,2,1,1] => [1,1,1,2,2] => [1,1,1,2,2] => [3,2]
[2,1,1,1,2] => [1,1,1,2,2] => [1,1,1,2,2] => [3,2]
[2,1,1,2,1] => [1,1,1,2,2] => [1,1,1,2,2] => [3,2]
[2,1,2,1,1] => [1,1,1,2,2] => [1,1,1,2,2] => [3,2]
[2,2,1,1,1] => [1,1,1,2,2] => [1,1,1,2,2] => [3,2]
[1,1,1,2,3] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,1,1,3,2] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,1,2,1,3] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,1,2,3,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,1,3,1,2] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,1,3,2,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,2,1,1,3] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,2,1,3,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,2,3,1,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,3,1,1,2] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,3,1,2,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,3,2,1,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[2,1,1,1,3] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[2,1,1,3,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[2,1,3,1,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[2,3,1,1,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[3,1,1,1,2] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[3,1,1,2,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[3,1,2,1,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[3,2,1,1,1] => [1,1,1,2,3] => [1,1,1,2,3] => [3,1,1]
[1,1,1,2,4] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,1,1,4,2] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,1,2,1,4] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,1,2,4,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,1,4,1,2] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,1,4,2,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,2,1,1,4] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,2,1,4,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,2,4,1,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,4,1,1,2] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,4,1,2,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,4,2,1,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[2,1,1,1,4] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[2,1,1,4,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[2,1,4,1,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[2,4,1,1,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[4,1,1,1,2] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[4,1,1,2,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[4,1,2,1,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[4,2,1,1,1] => [1,1,1,2,4] => [1,1,1,2,4] => [3,1,1]
[1,1,1,2,5] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,1,1,5,2] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,1,2,1,5] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,1,2,5,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,1,5,1,2] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,1,5,2,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,2,1,1,5] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,2,1,5,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,2,5,1,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,5,1,1,2] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,5,1,2,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,5,2,1,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[2,1,1,1,5] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[2,1,1,5,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[2,1,5,1,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[2,5,1,1,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[5,1,1,1,2] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[5,1,1,2,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[5,1,2,1,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[5,2,1,1,1] => [1,1,1,2,5] => [1,1,1,2,5] => [3,1,1]
[1,1,1,3,3] => [1,1,1,3,3] => [1,1,1,3,3] => [3,2]
[1,1,3,1,3] => [1,1,1,3,3] => [1,1,1,3,3] => [3,2]
[1,1,3,3,1] => [1,1,1,3,3] => [1,1,1,3,3] => [3,2]
[1,3,1,1,3] => [1,1,1,3,3] => [1,1,1,3,3] => [3,2]
[1,3,1,3,1] => [1,1,1,3,3] => [1,1,1,3,3] => [3,2]
[1,3,3,1,1] => [1,1,1,3,3] => [1,1,1,3,3] => [3,2]
[3,1,1,1,3] => [1,1,1,3,3] => [1,1,1,3,3] => [3,2]
[3,1,1,3,1] => [1,1,1,3,3] => [1,1,1,3,3] => [3,2]
[3,1,3,1,1] => [1,1,1,3,3] => [1,1,1,3,3] => [3,2]
[3,3,1,1,1] => [1,1,1,3,3] => [1,1,1,3,3] => [3,2]
[1,1,1,3,4] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,1,1,4,3] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,1,3,1,4] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,1,3,4,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,1,4,1,3] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,1,4,3,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,3,1,1,4] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,3,1,4,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,3,4,1,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,4,1,1,3] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,4,1,3,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,4,3,1,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[3,1,1,1,4] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[3,1,1,4,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[3,1,4,1,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[3,4,1,1,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[4,1,1,1,3] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[4,1,1,3,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[4,1,3,1,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[4,3,1,1,1] => [1,1,1,3,4] => [1,1,1,3,4] => [3,1,1]
[1,1,2,2,2] => [1,1,2,2,2] => [1,1,2,2,2] => [2,3]
[1,2,1,2,2] => [1,1,2,2,2] => [1,1,2,2,2] => [2,3]
[1,2,2,1,2] => [1,1,2,2,2] => [1,1,2,2,2] => [2,3]
[1,2,2,2,1] => [1,1,2,2,2] => [1,1,2,2,2] => [2,3]
[2,1,1,2,2] => [1,1,2,2,2] => [1,1,2,2,2] => [2,3]
[2,1,2,1,2] => [1,1,2,2,2] => [1,1,2,2,2] => [2,3]
[2,1,2,2,1] => [1,1,2,2,2] => [1,1,2,2,2] => [2,3]
[2,2,1,1,2] => [1,1,2,2,2] => [1,1,2,2,2] => [2,3]
[2,2,1,2,1] => [1,1,2,2,2] => [1,1,2,2,2] => [2,3]
[2,2,2,1,1] => [1,1,2,2,2] => [1,1,2,2,2] => [2,3]
[1,1,2,2,3] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,1,2,3,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,1,3,2,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,2,1,2,3] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,2,1,3,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,2,2,1,3] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,2,2,3,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,2,3,1,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,2,3,2,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,3,1,2,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,3,2,1,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,3,2,2,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,1,1,2,3] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,1,1,3,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,1,2,1,3] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,1,2,3,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,1,3,1,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,1,3,2,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,2,1,1,3] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,2,1,3,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,2,3,1,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,3,1,1,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,3,1,2,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[2,3,2,1,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[3,1,1,2,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[3,1,2,1,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[3,1,2,2,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[3,2,1,1,2] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[3,2,1,2,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[3,2,2,1,1] => [1,1,2,2,3] => [1,1,2,2,3] => [2,2,1]
[1,1,2,2,4] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,1,2,4,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,1,4,2,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,2,1,2,4] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,2,1,4,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,2,2,1,4] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,2,2,4,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,2,4,1,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,2,4,2,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,4,1,2,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,4,2,1,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,4,2,2,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,1,1,2,4] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,1,1,4,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,1,2,1,4] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,1,2,4,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,1,4,1,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,1,4,2,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,2,1,1,4] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,2,1,4,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,2,4,1,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,4,1,1,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,4,1,2,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[2,4,2,1,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[4,1,1,2,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[4,1,2,1,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[4,1,2,2,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[4,2,1,1,2] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[4,2,1,2,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[4,2,2,1,1] => [1,1,2,2,4] => [1,1,2,2,4] => [2,2,1]
[1,1,2,3,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,1,3,2,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,1,3,3,2] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,2,1,3,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,2,3,1,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,2,3,3,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,3,1,2,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,3,1,3,2] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,3,2,1,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,3,2,3,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,3,3,1,2] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,3,3,2,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[2,1,1,3,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[2,1,3,1,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[2,1,3,3,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[2,3,1,1,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[2,3,1,3,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[2,3,3,1,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,1,1,2,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,1,1,3,2] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,1,2,1,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,1,2,3,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,1,3,1,2] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,1,3,2,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,2,1,1,3] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,2,1,3,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,2,3,1,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,3,1,1,2] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,3,1,2,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[3,3,2,1,1] => [1,1,2,3,3] => [1,1,2,3,3] => [2,1,2]
[1,1,2,3,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,1,2,5,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,1,3,2,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,1,3,5,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,1,5,2,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,1,5,3,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,2,1,3,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,2,1,5,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,2,3,1,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,2,3,5,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,2,5,1,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,2,5,3,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,3,1,2,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,3,1,5,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,3,2,1,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,3,2,5,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,3,5,1,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,3,5,2,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,5,1,2,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,5,1,3,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,5,2,1,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,5,2,3,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,5,3,1,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,5,3,2,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,1,1,3,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,1,1,5,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,1,3,1,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,1,3,5,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,1,5,1,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,1,5,3,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,3,1,1,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,3,1,5,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,3,5,1,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,5,1,1,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,5,1,3,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[2,5,3,1,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,1,1,2,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,1,1,5,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,1,2,1,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,1,2,5,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,1,5,1,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,1,5,2,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,2,1,1,5] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,2,1,5,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,2,5,1,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,5,1,1,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,5,1,2,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[3,5,2,1,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,1,1,2,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,1,1,3,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,1,2,1,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,1,2,3,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,1,3,1,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,1,3,2,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,2,1,1,3] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,2,1,3,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,2,3,1,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,3,1,1,2] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,3,1,2,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[5,3,2,1,1] => [1,1,2,3,5] => [1,1,2,3,5] => [2,1,1,1]
[1,2,2,2,2] => [1,2,2,2,2] => [1,2,2,2,2] => [1,4]
[2,1,2,2,2] => [1,2,2,2,2] => [1,2,2,2,2] => [1,4]
[2,2,1,2,2] => [1,2,2,2,2] => [1,2,2,2,2] => [1,4]
[2,2,2,1,2] => [1,2,2,2,2] => [1,2,2,2,2] => [1,4]
[2,2,2,2,1] => [1,2,2,2,2] => [1,2,2,2,2] => [1,4]
[1,2,2,2,3] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[1,2,2,3,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[1,2,3,2,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[1,3,2,2,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,1,2,2,3] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,1,2,3,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,1,3,2,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,2,1,2,3] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,2,1,3,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,2,2,1,3] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,2,2,3,1] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,2,3,1,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,2,3,2,1] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,3,1,2,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,3,2,1,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[2,3,2,2,1] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[3,1,2,2,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[3,2,1,2,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[3,2,2,1,2] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[3,2,2,2,1] => [1,2,2,2,3] => [1,2,2,2,3] => [1,3,1]
[1,2,2,2,5] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[1,2,2,5,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[1,2,5,2,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[1,5,2,2,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,1,2,2,5] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,1,2,5,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,1,5,2,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,2,1,2,5] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,2,1,5,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,2,2,1,5] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,2,2,5,1] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,2,5,1,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,2,5,2,1] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,5,1,2,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,5,2,1,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[2,5,2,2,1] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[5,1,2,2,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[5,2,1,2,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[5,2,2,1,2] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[5,2,2,2,1] => [1,2,2,2,5] => [1,2,2,2,5] => [1,3,1]
[1,2,2,3,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,2,2,4,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,2,3,2,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,2,3,4,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,2,4,2,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,2,4,3,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,3,2,2,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,3,2,4,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,3,4,2,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,4,2,2,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,4,2,3,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,4,3,2,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,1,2,3,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,1,2,4,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,1,3,2,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,1,3,4,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,1,4,2,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,1,4,3,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,2,1,3,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,2,1,4,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,2,3,1,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,2,3,4,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,2,4,1,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,2,4,3,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,3,1,2,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,3,1,4,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,3,2,1,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,3,2,4,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,3,4,1,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,3,4,2,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,4,1,2,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,4,1,3,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,4,2,1,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,4,2,3,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,4,3,1,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[2,4,3,2,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,1,2,2,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,1,2,4,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,1,4,2,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,2,1,2,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,2,1,4,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,2,2,1,4] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,2,2,4,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,2,4,1,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,2,4,2,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,4,1,2,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,4,2,1,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[3,4,2,2,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,1,2,2,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,1,2,3,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,1,3,2,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,2,1,2,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,2,1,3,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,2,2,1,3] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,2,2,3,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,2,3,1,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,2,3,2,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,3,1,2,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,3,2,1,2] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[4,3,2,2,1] => [1,2,2,3,4] => [1,2,2,3,4] => [1,2,1,1]
[1,2,3,3,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[1,3,2,3,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[1,3,3,2,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[1,3,3,3,2] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[2,1,3,3,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[2,3,1,3,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[2,3,3,1,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[2,3,3,3,1] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,1,2,3,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,1,3,2,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,1,3,3,2] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,2,1,3,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,2,3,1,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,2,3,3,1] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,3,1,2,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,3,1,3,2] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,3,2,1,3] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,3,2,3,1] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,3,3,1,2] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[3,3,3,2,1] => [1,2,3,3,3] => [1,2,3,3,3] => [1,1,3]
[1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1,1] => [6]
[1,1,1,1,1,2] => [1,1,1,1,1,2] => [1,1,1,1,1,2] => [5,1]
[1,1,1,1,2,1] => [1,1,1,1,1,2] => [1,1,1,1,1,2] => [5,1]
[1,1,1,2,1,1] => [1,1,1,1,1,2] => [1,1,1,1,1,2] => [5,1]
[1,1,2,1,1,1] => [1,1,1,1,1,2] => [1,1,1,1,1,2] => [5,1]
[1,2,1,1,1,1] => [1,1,1,1,1,2] => [1,1,1,1,1,2] => [5,1]
[2,1,1,1,1,1] => [1,1,1,1,1,2] => [1,1,1,1,1,2] => [5,1]
[1,1,1,1,1,3] => [1,1,1,1,1,3] => [1,1,1,1,1,3] => [5,1]
[1,1,1,1,3,1] => [1,1,1,1,1,3] => [1,1,1,1,1,3] => [5,1]
[1,1,1,3,1,1] => [1,1,1,1,1,3] => [1,1,1,1,1,3] => [5,1]
[1,1,3,1,1,1] => [1,1,1,1,1,3] => [1,1,1,1,1,3] => [5,1]
[1,3,1,1,1,1] => [1,1,1,1,1,3] => [1,1,1,1,1,3] => [5,1]
[3,1,1,1,1,1] => [1,1,1,1,1,3] => [1,1,1,1,1,3] => [5,1]
[1,1,1,1,1,4] => [1,1,1,1,1,4] => [1,1,1,1,1,4] => [5,1]
[1,1,1,1,4,1] => [1,1,1,1,1,4] => [1,1,1,1,1,4] => [5,1]
[1,1,1,4,1,1] => [1,1,1,1,1,4] => [1,1,1,1,1,4] => [5,1]
[1,1,4,1,1,1] => [1,1,1,1,1,4] => [1,1,1,1,1,4] => [5,1]
[1,4,1,1,1,1] => [1,1,1,1,1,4] => [1,1,1,1,1,4] => [5,1]
[4,1,1,1,1,1] => [1,1,1,1,1,4] => [1,1,1,1,1,4] => [5,1]
[1,1,1,1,1,5] => [1,1,1,1,1,5] => [1,1,1,1,1,5] => [5,1]
[1,1,1,1,5,1] => [1,1,1,1,1,5] => [1,1,1,1,1,5] => [5,1]
[1,1,1,5,1,1] => [1,1,1,1,1,5] => [1,1,1,1,1,5] => [5,1]
[1,1,5,1,1,1] => [1,1,1,1,1,5] => [1,1,1,1,1,5] => [5,1]
[1,5,1,1,1,1] => [1,1,1,1,1,5] => [1,1,1,1,1,5] => [5,1]
[5,1,1,1,1,1] => [1,1,1,1,1,5] => [1,1,1,1,1,5] => [5,1]
[1,1,1,1,1,6] => [1,1,1,1,1,6] => [1,1,1,1,1,6] => [5,1]
[1,1,1,1,6,1] => [1,1,1,1,1,6] => [1,1,1,1,1,6] => [5,1]
[1,1,1,6,1,1] => [1,1,1,1,1,6] => [1,1,1,1,1,6] => [5,1]
[1,1,6,1,1,1] => [1,1,1,1,1,6] => [1,1,1,1,1,6] => [5,1]
[1,6,1,1,1,1] => [1,1,1,1,1,6] => [1,1,1,1,1,6] => [5,1]
[6,1,1,1,1,1] => [1,1,1,1,1,6] => [1,1,1,1,1,6] => [5,1]
[1,1,1,1,2,2] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[1,1,1,2,1,2] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[1,1,1,2,2,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[1,1,2,1,1,2] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[1,1,2,1,2,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[1,1,2,2,1,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[1,2,1,1,1,2] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[1,2,1,1,2,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[1,2,1,2,1,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[1,2,2,1,1,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[2,1,1,1,1,2] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[2,1,1,1,2,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[2,1,1,2,1,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[2,1,2,1,1,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[2,2,1,1,1,1] => [1,1,1,1,2,2] => [1,1,1,1,2,2] => [4,2]
[1,1,1,1,2,3] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,1,1,3,2] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,1,2,1,3] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,1,2,3,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,1,3,1,2] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,1,3,2,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,2,1,1,3] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,2,1,3,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,2,3,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,3,1,1,2] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,3,1,2,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,3,2,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,2,1,1,1,3] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,2,1,1,3,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,2,1,3,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,2,3,1,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,3,1,1,1,2] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,3,1,1,2,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,3,1,2,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,3,2,1,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[2,1,1,1,1,3] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[2,1,1,1,3,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[2,1,1,3,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[2,1,3,1,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[2,3,1,1,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[3,1,1,1,1,2] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[3,1,1,1,2,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[3,1,1,2,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[3,1,2,1,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[3,2,1,1,1,1] => [1,1,1,1,2,3] => [1,1,1,1,2,3] => [4,1,1]
[1,1,1,1,2,4] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,1,1,4,2] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,1,2,1,4] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,1,2,4,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,1,4,1,2] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,1,4,2,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,2,1,1,4] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,2,1,4,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,2,4,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,4,1,1,2] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,4,1,2,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,4,2,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,2,1,1,1,4] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,2,1,1,4,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,2,1,4,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,2,4,1,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,4,1,1,1,2] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,4,1,1,2,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,4,1,2,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,4,2,1,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[2,1,1,1,1,4] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[2,1,1,1,4,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[2,1,1,4,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[2,1,4,1,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[2,4,1,1,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[4,1,1,1,1,2] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[4,1,1,1,2,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[4,1,1,2,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[4,1,2,1,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[4,2,1,1,1,1] => [1,1,1,1,2,4] => [1,1,1,1,2,4] => [4,1,1]
[1,1,1,1,2,5] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,1,1,5,2] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,1,2,1,5] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,1,2,5,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,1,5,1,2] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,1,5,2,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,2,1,1,5] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,2,1,5,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,2,5,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,5,1,1,2] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,5,1,2,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,5,2,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,2,1,1,1,5] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,2,1,1,5,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,2,1,5,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,2,5,1,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,5,1,1,1,2] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,5,1,1,2,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,5,1,2,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,5,2,1,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[2,1,1,1,1,5] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[2,1,1,1,5,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[2,1,1,5,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[2,1,5,1,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[2,5,1,1,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[5,1,1,1,1,2] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[5,1,1,1,2,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[5,1,1,2,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[5,1,2,1,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[5,2,1,1,1,1] => [1,1,1,1,2,5] => [1,1,1,1,2,5] => [4,1,1]
[1,1,1,1,3,3] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[1,1,1,3,1,3] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[1,1,1,3,3,1] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[1,1,3,1,1,3] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[1,1,3,1,3,1] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[1,1,3,3,1,1] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[1,3,1,1,1,3] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[1,3,1,1,3,1] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[1,3,1,3,1,1] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[1,3,3,1,1,1] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[3,1,1,1,1,3] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[3,1,1,1,3,1] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[3,1,1,3,1,1] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[3,1,3,1,1,1] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[3,3,1,1,1,1] => [1,1,1,1,3,3] => [1,1,1,1,3,3] => [4,2]
[1,1,1,1,3,4] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,1,1,4,3] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,1,3,1,4] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,1,3,4,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,1,4,1,3] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,1,4,3,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,3,1,1,4] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,3,1,4,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,3,4,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,4,1,1,3] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,4,1,3,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,4,3,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,3,1,1,1,4] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,3,1,1,4,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,3,1,4,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,3,4,1,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,4,1,1,1,3] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,4,1,1,3,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,4,1,3,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,4,3,1,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[3,1,1,1,1,4] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[3,1,1,1,4,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[3,1,1,4,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[3,1,4,1,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[3,4,1,1,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[4,1,1,1,1,3] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[4,1,1,1,3,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[4,1,1,3,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[4,1,3,1,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[4,3,1,1,1,1] => [1,1,1,1,3,4] => [1,1,1,1,3,4] => [4,1,1]
[1,1,1,1,4,4] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[1,1,1,4,1,4] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[1,1,1,4,4,1] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[1,1,4,1,1,4] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[1,1,4,1,4,1] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[1,1,4,4,1,1] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[1,4,1,1,1,4] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[1,4,1,1,4,1] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[1,4,1,4,1,1] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[1,4,4,1,1,1] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[4,1,1,1,1,4] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[4,1,1,1,4,1] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[4,1,1,4,1,1] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[4,1,4,1,1,1] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[4,4,1,1,1,1] => [1,1,1,1,4,4] => [1,1,1,1,4,4] => [4,2]
[1,1,1,2,2,2] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[1,1,2,1,2,2] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[1,1,2,2,1,2] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[1,1,2,2,2,1] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[1,2,1,1,2,2] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[1,2,1,2,1,2] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[1,2,1,2,2,1] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[1,2,2,1,1,2] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[1,2,2,1,2,1] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[1,2,2,2,1,1] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[2,1,1,1,2,2] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[2,1,1,2,1,2] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[2,1,1,2,2,1] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[2,1,2,1,1,2] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[2,1,2,1,2,1] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[2,1,2,2,1,1] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[2,2,1,1,1,2] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[2,2,1,1,2,1] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[2,2,1,2,1,1] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[2,2,2,1,1,1] => [1,1,1,2,2,2] => [1,1,1,2,2,2] => [3,3]
[1,1,1,2,2,3] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,1,2,3,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,1,3,2,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,2,1,2,3] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,2,1,3,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,2,2,1,3] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,2,2,3,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,2,3,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,2,3,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,3,1,2,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,3,2,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,3,2,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,1,1,2,3] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,1,1,3,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,1,2,1,3] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,1,2,3,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,1,3,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,1,3,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,2,1,1,3] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,2,1,3,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,2,3,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,3,1,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,3,1,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,2,3,2,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,3,1,1,2,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,3,1,2,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,3,1,2,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,3,2,1,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,3,2,1,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,3,2,2,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,1,1,2,3] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,1,1,3,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,1,2,1,3] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,1,2,3,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,1,3,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,1,3,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,2,1,1,3] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,2,1,3,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,2,3,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,3,1,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,3,1,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,1,3,2,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,2,1,1,1,3] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,2,1,1,3,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,2,1,3,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,2,3,1,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,3,1,1,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,3,1,1,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,3,1,2,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[2,3,2,1,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[3,1,1,1,2,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[3,1,1,2,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[3,1,1,2,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[3,1,2,1,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[3,1,2,1,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[3,1,2,2,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[3,2,1,1,1,2] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[3,2,1,1,2,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[3,2,1,2,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[3,2,2,1,1,1] => [1,1,1,2,2,3] => [1,1,1,2,2,3] => [3,2,1]
[1,1,1,2,2,4] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,1,2,4,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,1,4,2,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,2,1,2,4] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,2,1,4,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,2,2,1,4] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,2,2,4,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,2,4,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,2,4,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,4,1,2,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,4,2,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,4,2,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,1,1,2,4] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,1,1,4,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,1,2,1,4] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,1,2,4,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,1,4,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,1,4,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,2,1,1,4] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,2,1,4,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,2,4,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,4,1,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,4,1,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,2,4,2,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,4,1,1,2,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,4,1,2,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,4,1,2,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,4,2,1,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,4,2,1,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,4,2,2,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,1,1,2,4] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,1,1,4,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,1,2,1,4] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,1,2,4,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,1,4,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,1,4,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,2,1,1,4] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,2,1,4,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,2,4,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,4,1,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,4,1,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,1,4,2,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,2,1,1,1,4] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,2,1,1,4,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,2,1,4,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,2,4,1,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,4,1,1,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,4,1,1,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,4,1,2,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[2,4,2,1,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[4,1,1,1,2,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[4,1,1,2,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[4,1,1,2,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[4,1,2,1,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[4,1,2,1,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[4,1,2,2,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[4,2,1,1,1,2] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[4,2,1,1,2,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[4,2,1,2,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[4,2,2,1,1,1] => [1,1,1,2,2,4] => [1,1,1,2,2,4] => [3,2,1]
[1,1,1,2,3,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,1,3,2,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,1,3,3,2] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,2,1,3,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,2,3,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,2,3,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,3,1,2,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,3,1,3,2] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,3,2,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,3,2,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,3,3,1,2] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,3,3,2,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,2,1,1,3,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,2,1,3,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,2,1,3,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,2,3,1,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,2,3,1,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,2,3,3,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,1,1,2,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,1,1,3,2] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,1,2,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,1,2,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,1,3,1,2] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,1,3,2,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,2,1,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,2,1,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,2,3,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,3,1,1,2] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,3,1,2,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,3,3,2,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[2,1,1,1,3,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[2,1,1,3,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[2,1,1,3,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[2,1,3,1,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[2,1,3,1,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[2,1,3,3,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[2,3,1,1,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[2,3,1,1,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[2,3,1,3,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[2,3,3,1,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,1,1,2,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,1,1,3,2] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,1,2,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,1,2,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,1,3,1,2] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,1,3,2,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,2,1,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,2,1,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,2,3,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,3,1,1,2] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,3,1,2,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,1,3,2,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,2,1,1,1,3] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,2,1,1,3,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,2,1,3,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,2,3,1,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,3,1,1,1,2] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,3,1,1,2,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,3,1,2,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[3,3,2,1,1,1] => [1,1,1,2,3,3] => [1,1,1,2,3,3] => [3,1,2]
[1,1,2,2,2,2] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[1,2,1,2,2,2] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[1,2,2,1,2,2] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[1,2,2,2,1,2] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[1,2,2,2,2,1] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[2,1,1,2,2,2] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[2,1,2,1,2,2] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[2,1,2,2,1,2] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[2,1,2,2,2,1] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[2,2,1,1,2,2] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[2,2,1,2,1,2] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[2,2,1,2,2,1] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[2,2,2,1,1,2] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[2,2,2,1,2,1] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[2,2,2,2,1,1] => [1,1,2,2,2,2] => [1,1,2,2,2,2] => [2,4]
[1,1,2,2,2,3] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,1,2,2,3,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,1,2,3,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,1,3,2,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,1,2,2,3] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,1,2,3,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,1,3,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,2,1,2,3] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,2,1,3,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,2,2,1,3] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,2,2,3,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,2,3,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,2,3,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,3,1,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,3,2,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,2,3,2,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,3,1,2,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,3,2,1,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,3,2,2,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,3,2,2,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,1,2,2,3] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,1,2,3,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,1,3,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,2,1,2,3] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,2,1,3,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,2,2,1,3] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,2,2,3,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,2,3,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,2,3,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,3,1,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,3,2,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,1,3,2,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,1,1,2,3] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,1,1,3,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,1,2,1,3] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,1,2,3,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,1,3,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,1,3,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,2,1,1,3] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,2,1,3,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,2,3,1,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,3,1,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,3,1,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,2,3,2,1,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,3,1,1,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,3,1,2,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,3,1,2,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,3,2,1,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,3,2,1,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[2,3,2,2,1,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[3,1,1,2,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[3,1,2,1,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[3,1,2,2,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[3,1,2,2,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[3,2,1,1,2,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[3,2,1,2,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[3,2,1,2,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[3,2,2,1,1,2] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[3,2,2,1,2,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[3,2,2,2,1,1] => [1,1,2,2,2,3] => [1,1,2,2,2,3] => [2,3,1]
[1,1,2,2,2,4] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,1,2,2,4,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,1,2,4,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,1,4,2,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,1,2,2,4] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,1,2,4,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,1,4,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,2,1,2,4] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,2,1,4,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,2,2,1,4] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,2,2,4,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,2,4,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,2,4,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,4,1,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,4,2,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,2,4,2,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,4,1,2,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,4,2,1,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,4,2,2,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,4,2,2,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,1,2,2,4] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,1,2,4,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,1,4,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,2,1,2,4] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,2,1,4,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,2,2,1,4] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,2,2,4,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,2,4,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,2,4,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,4,1,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,4,2,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,1,4,2,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,1,1,2,4] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,1,1,4,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,1,2,1,4] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,1,2,4,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,1,4,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,1,4,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,2,1,1,4] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,2,1,4,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,2,4,1,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,4,1,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,4,1,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,2,4,2,1,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,4,1,1,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,4,1,2,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,4,1,2,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,4,2,1,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,4,2,1,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[2,4,2,2,1,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[4,1,1,2,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[4,1,2,1,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[4,1,2,2,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[4,1,2,2,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[4,2,1,1,2,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[4,2,1,2,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[4,2,1,2,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[4,2,2,1,1,2] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[4,2,2,1,2,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[4,2,2,2,1,1] => [1,1,2,2,2,4] => [1,1,2,2,2,4] => [2,3,1]
[1,1,2,2,3,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,1,2,3,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,1,2,3,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,1,3,2,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,1,3,2,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,1,3,3,2,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,1,2,3,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,1,3,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,1,3,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,2,1,3,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,2,3,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,2,3,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,3,1,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,3,1,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,3,2,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,3,2,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,3,3,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,3,3,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,1,2,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,1,2,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,1,3,2,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,2,1,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,2,1,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,2,2,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,2,2,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,2,3,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,2,3,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,3,1,2,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,3,2,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,3,3,2,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,1,2,3,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,1,3,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,1,3,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,2,1,3,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,2,3,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,2,3,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,3,1,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,3,1,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,3,2,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,3,2,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,3,3,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,1,3,3,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,2,1,1,3,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,2,1,3,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,2,1,3,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,2,3,1,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,2,3,1,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,2,3,3,1,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,1,1,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,1,1,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,1,2,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,1,2,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,1,3,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,1,3,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,2,1,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,2,1,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,2,3,1,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,3,1,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,3,1,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[2,3,3,2,1,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,1,2,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,1,2,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,1,3,2,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,2,1,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,2,1,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,2,2,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,2,2,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,2,3,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,2,3,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,3,1,2,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,3,2,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,1,3,2,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,1,1,2,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,1,1,3,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,1,2,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,1,2,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,1,3,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,1,3,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,2,1,1,3] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,2,1,3,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,2,3,1,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,3,1,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,3,1,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,2,3,2,1,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,3,1,1,2,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,3,1,2,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,3,1,2,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,3,2,1,1,2] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,3,2,1,2,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[3,3,2,2,1,1] => [1,1,2,2,3,3] => [1,1,2,2,3,3] => [2,2,2]
[1,2,2,2,2,2] => [1,2,2,2,2,2] => [1,2,2,2,2,2] => [1,5]
[2,1,2,2,2,2] => [1,2,2,2,2,2] => [1,2,2,2,2,2] => [1,5]
[2,2,1,2,2,2] => [1,2,2,2,2,2] => [1,2,2,2,2,2] => [1,5]
[2,2,2,1,2,2] => [1,2,2,2,2,2] => [1,2,2,2,2,2] => [1,5]
[2,2,2,2,1,2] => [1,2,2,2,2,2] => [1,2,2,2,2,2] => [1,5]
[2,2,2,2,2,1] => [1,2,2,2,2,2] => [1,2,2,2,2,2] => [1,5]
[1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[1,2,2,2,3,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[1,2,2,3,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[1,2,3,2,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[1,3,2,2,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,1,2,2,2,3] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,1,2,2,3,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,1,2,3,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,1,3,2,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,1,2,2,3] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,1,2,3,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,1,3,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,2,1,2,3] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,2,1,3,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,2,2,1,3] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,2,2,3,1] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,2,3,1,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,2,3,2,1] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,3,1,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,3,2,1,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,2,3,2,2,1] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,3,1,2,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,3,2,1,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,3,2,2,1,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[2,3,2,2,2,1] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[3,1,2,2,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[3,2,1,2,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[3,2,2,1,2,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[3,2,2,2,1,2] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
[3,2,2,2,2,1] => [1,2,2,2,2,3] => [1,2,2,2,2,3] => [1,4,1]
Map
to non-decreasing parking function
Description
Return the non-decreasing parking function which underlies the parking function.
Sorts the parking function into an increasing sequence.
Sorts the parking function into an increasing sequence.
Map
to composition
Description
Return the parking function interpreted as an integer composition.
Map
delta morphism
Description
Apply the delta morphism to an integer composition.
The delta morphism of a composition C is the compositions composed of the lengths of consecutive runs of the same integer in C.
The delta morphism of a composition C is the compositions composed of the lengths of consecutive runs of the same integer in C.
searching the database
Sorry, this map was not found in the database.