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Identifier
Mp00071: Permutations descent compositionInteger compositions
Images
[] => []
[1] => [1]
[1,2] => [2]
[2,1] => [1,1]
[1,2,3] => [3]
[1,3,2] => [2,1]
[2,1,3] => [1,2]
[2,3,1] => [2,1]
[3,1,2] => [1,2]
[3,2,1] => [1,1,1]
[1,2,3,4] => [4]
[1,2,4,3] => [3,1]
[1,3,2,4] => [2,2]
[1,3,4,2] => [3,1]
[1,4,2,3] => [2,2]
[1,4,3,2] => [2,1,1]
[2,1,3,4] => [1,3]
[2,1,4,3] => [1,2,1]
[2,3,1,4] => [2,2]
[2,3,4,1] => [3,1]
[2,4,1,3] => [2,2]
[2,4,3,1] => [2,1,1]
[3,1,2,4] => [1,3]
[3,1,4,2] => [1,2,1]
[3,2,1,4] => [1,1,2]
[3,2,4,1] => [1,2,1]
[3,4,1,2] => [2,2]
[3,4,2,1] => [2,1,1]
[4,1,2,3] => [1,3]
[4,1,3,2] => [1,2,1]
[4,2,1,3] => [1,1,2]
[4,2,3,1] => [1,2,1]
[4,3,1,2] => [1,1,2]
[4,3,2,1] => [1,1,1,1]
[1,2,3,4,5] => [5]
[1,2,3,5,4] => [4,1]
[1,2,4,3,5] => [3,2]
[1,2,4,5,3] => [4,1]
[1,2,5,3,4] => [3,2]
[1,2,5,4,3] => [3,1,1]
[1,3,2,4,5] => [2,3]
[1,3,2,5,4] => [2,2,1]
[1,3,4,2,5] => [3,2]
[1,3,4,5,2] => [4,1]
[1,3,5,2,4] => [3,2]
[1,3,5,4,2] => [3,1,1]
[1,4,2,3,5] => [2,3]
[1,4,2,5,3] => [2,2,1]
[1,4,3,2,5] => [2,1,2]
[1,4,3,5,2] => [2,2,1]
[1,4,5,2,3] => [3,2]
[1,4,5,3,2] => [3,1,1]
[1,5,2,3,4] => [2,3]
[1,5,2,4,3] => [2,2,1]
[1,5,3,2,4] => [2,1,2]
[1,5,3,4,2] => [2,2,1]
[1,5,4,2,3] => [2,1,2]
[1,5,4,3,2] => [2,1,1,1]
[2,1,3,4,5] => [1,4]
[2,1,3,5,4] => [1,3,1]
[2,1,4,3,5] => [1,2,2]
[2,1,4,5,3] => [1,3,1]
[2,1,5,3,4] => [1,2,2]
[2,1,5,4,3] => [1,2,1,1]
[2,3,1,4,5] => [2,3]
[2,3,1,5,4] => [2,2,1]
[2,3,4,1,5] => [3,2]
[2,3,4,5,1] => [4,1]
[2,3,5,1,4] => [3,2]
[2,3,5,4,1] => [3,1,1]
[2,4,1,3,5] => [2,3]
[2,4,1,5,3] => [2,2,1]
[2,4,3,1,5] => [2,1,2]
[2,4,3,5,1] => [2,2,1]
[2,4,5,1,3] => [3,2]
[2,4,5,3,1] => [3,1,1]
[2,5,1,3,4] => [2,3]
[2,5,1,4,3] => [2,2,1]
[2,5,3,1,4] => [2,1,2]
[2,5,3,4,1] => [2,2,1]
[2,5,4,1,3] => [2,1,2]
[2,5,4,3,1] => [2,1,1,1]
[3,1,2,4,5] => [1,4]
[3,1,2,5,4] => [1,3,1]
[3,1,4,2,5] => [1,2,2]
[3,1,4,5,2] => [1,3,1]
[3,1,5,2,4] => [1,2,2]
[3,1,5,4,2] => [1,2,1,1]
[3,2,1,4,5] => [1,1,3]
[3,2,1,5,4] => [1,1,2,1]
[3,2,4,1,5] => [1,2,2]
[3,2,4,5,1] => [1,3,1]
[3,2,5,1,4] => [1,2,2]
[3,2,5,4,1] => [1,2,1,1]
[3,4,1,2,5] => [2,3]
[3,4,1,5,2] => [2,2,1]
[3,4,2,1,5] => [2,1,2]
[3,4,2,5,1] => [2,2,1]
[3,4,5,1,2] => [3,2]
[3,4,5,2,1] => [3,1,1]
[3,5,1,2,4] => [2,3]
>>> Load all 59772 entries. <<<
[3,5,1,4,2] => [2,2,1]
[3,5,2,1,4] => [2,1,2]
[3,5,2,4,1] => [2,2,1]
[3,5,4,1,2] => [2,1,2]
[3,5,4,2,1] => [2,1,1,1]
[4,1,2,3,5] => [1,4]
[4,1,2,5,3] => [1,3,1]
[4,1,3,2,5] => [1,2,2]
[4,1,3,5,2] => [1,3,1]
[4,1,5,2,3] => [1,2,2]
[4,1,5,3,2] => [1,2,1,1]
[4,2,1,3,5] => [1,1,3]
[4,2,1,5,3] => [1,1,2,1]
[4,2,3,1,5] => [1,2,2]
[4,2,3,5,1] => [1,3,1]
[4,2,5,1,3] => [1,2,2]
[4,2,5,3,1] => [1,2,1,1]
[4,3,1,2,5] => [1,1,3]
[4,3,1,5,2] => [1,1,2,1]
[4,3,2,1,5] => [1,1,1,2]
[4,3,2,5,1] => [1,1,2,1]
[4,3,5,1,2] => [1,2,2]
[4,3,5,2,1] => [1,2,1,1]
[4,5,1,2,3] => [2,3]
[4,5,1,3,2] => [2,2,1]
[4,5,2,1,3] => [2,1,2]
[4,5,2,3,1] => [2,2,1]
[4,5,3,1,2] => [2,1,2]
[4,5,3,2,1] => [2,1,1,1]
[5,1,2,3,4] => [1,4]
[5,1,2,4,3] => [1,3,1]
[5,1,3,2,4] => [1,2,2]
[5,1,3,4,2] => [1,3,1]
[5,1,4,2,3] => [1,2,2]
[5,1,4,3,2] => [1,2,1,1]
[5,2,1,3,4] => [1,1,3]
[5,2,1,4,3] => [1,1,2,1]
[5,2,3,1,4] => [1,2,2]
[5,2,3,4,1] => [1,3,1]
[5,2,4,1,3] => [1,2,2]
[5,2,4,3,1] => [1,2,1,1]
[5,3,1,2,4] => [1,1,3]
[5,3,1,4,2] => [1,1,2,1]
[5,3,2,1,4] => [1,1,1,2]
[5,3,2,4,1] => [1,1,2,1]
[5,3,4,1,2] => [1,2,2]
[5,3,4,2,1] => [1,2,1,1]
[5,4,1,2,3] => [1,1,3]
[5,4,1,3,2] => [1,1,2,1]
[5,4,2,1,3] => [1,1,1,2]
[5,4,2,3,1] => [1,1,2,1]
[5,4,3,1,2] => [1,1,1,2]
[5,4,3,2,1] => [1,1,1,1,1]
[1,2,3,4,5,6] => [6]
[1,2,3,4,6,5] => [5,1]
[1,2,3,5,4,6] => [4,2]
[1,2,3,5,6,4] => [5,1]
[1,2,3,6,4,5] => [4,2]
[1,2,3,6,5,4] => [4,1,1]
[1,2,4,3,5,6] => [3,3]
[1,2,4,3,6,5] => [3,2,1]
[1,2,4,5,3,6] => [4,2]
[1,2,4,5,6,3] => [5,1]
[1,2,4,6,3,5] => [4,2]
[1,2,4,6,5,3] => [4,1,1]
[1,2,5,3,4,6] => [3,3]
[1,2,5,3,6,4] => [3,2,1]
[1,2,5,4,3,6] => [3,1,2]
[1,2,5,4,6,3] => [3,2,1]
[1,2,5,6,3,4] => [4,2]
[1,2,5,6,4,3] => [4,1,1]
[1,2,6,3,4,5] => [3,3]
[1,2,6,3,5,4] => [3,2,1]
[1,2,6,4,3,5] => [3,1,2]
[1,2,6,4,5,3] => [3,2,1]
[1,2,6,5,3,4] => [3,1,2]
[1,2,6,5,4,3] => [3,1,1,1]
[1,3,2,4,5,6] => [2,4]
[1,3,2,4,6,5] => [2,3,1]
[1,3,2,5,4,6] => [2,2,2]
[1,3,2,5,6,4] => [2,3,1]
[1,3,2,6,4,5] => [2,2,2]
[1,3,2,6,5,4] => [2,2,1,1]
[1,3,4,2,5,6] => [3,3]
[1,3,4,2,6,5] => [3,2,1]
[1,3,4,5,2,6] => [4,2]
[1,3,4,5,6,2] => [5,1]
[1,3,4,6,2,5] => [4,2]
[1,3,4,6,5,2] => [4,1,1]
[1,3,5,2,4,6] => [3,3]
[1,3,5,2,6,4] => [3,2,1]
[1,3,5,4,2,6] => [3,1,2]
[1,3,5,4,6,2] => [3,2,1]
[1,3,5,6,2,4] => [4,2]
[1,3,5,6,4,2] => [4,1,1]
[1,3,6,2,4,5] => [3,3]
[1,3,6,2,5,4] => [3,2,1]
[1,3,6,4,2,5] => [3,1,2]
[1,3,6,4,5,2] => [3,2,1]
[1,3,6,5,2,4] => [3,1,2]
[1,3,6,5,4,2] => [3,1,1,1]
[1,4,2,3,5,6] => [2,4]
[1,4,2,3,6,5] => [2,3,1]
[1,4,2,5,3,6] => [2,2,2]
[1,4,2,5,6,3] => [2,3,1]
[1,4,2,6,3,5] => [2,2,2]
[1,4,2,6,5,3] => [2,2,1,1]
[1,4,3,2,5,6] => [2,1,3]
[1,4,3,2,6,5] => [2,1,2,1]
[1,4,3,5,2,6] => [2,2,2]
[1,4,3,5,6,2] => [2,3,1]
[1,4,3,6,2,5] => [2,2,2]
[1,4,3,6,5,2] => [2,2,1,1]
[1,4,5,2,3,6] => [3,3]
[1,4,5,2,6,3] => [3,2,1]
[1,4,5,3,2,6] => [3,1,2]
[1,4,5,3,6,2] => [3,2,1]
[1,4,5,6,2,3] => [4,2]
[1,4,5,6,3,2] => [4,1,1]
[1,4,6,2,3,5] => [3,3]
[1,4,6,2,5,3] => [3,2,1]
[1,4,6,3,2,5] => [3,1,2]
[1,4,6,3,5,2] => [3,2,1]
[1,4,6,5,2,3] => [3,1,2]
[1,4,6,5,3,2] => [3,1,1,1]
[1,5,2,3,4,6] => [2,4]
[1,5,2,3,6,4] => [2,3,1]
[1,5,2,4,3,6] => [2,2,2]
[1,5,2,4,6,3] => [2,3,1]
[1,5,2,6,3,4] => [2,2,2]
[1,5,2,6,4,3] => [2,2,1,1]
[1,5,3,2,4,6] => [2,1,3]
[1,5,3,2,6,4] => [2,1,2,1]
[1,5,3,4,2,6] => [2,2,2]
[1,5,3,4,6,2] => [2,3,1]
[1,5,3,6,2,4] => [2,2,2]
[1,5,3,6,4,2] => [2,2,1,1]
[1,5,4,2,3,6] => [2,1,3]
[1,5,4,2,6,3] => [2,1,2,1]
[1,5,4,3,2,6] => [2,1,1,2]
[1,5,4,3,6,2] => [2,1,2,1]
[1,5,4,6,2,3] => [2,2,2]
[1,5,4,6,3,2] => [2,2,1,1]
[1,5,6,2,3,4] => [3,3]
[1,5,6,2,4,3] => [3,2,1]
[1,5,6,3,2,4] => [3,1,2]
[1,5,6,3,4,2] => [3,2,1]
[1,5,6,4,2,3] => [3,1,2]
[1,5,6,4,3,2] => [3,1,1,1]
[1,6,2,3,4,5] => [2,4]
[1,6,2,3,5,4] => [2,3,1]
[1,6,2,4,3,5] => [2,2,2]
[1,6,2,4,5,3] => [2,3,1]
[1,6,2,5,3,4] => [2,2,2]
[1,6,2,5,4,3] => [2,2,1,1]
[1,6,3,2,4,5] => [2,1,3]
[1,6,3,2,5,4] => [2,1,2,1]
[1,6,3,4,2,5] => [2,2,2]
[1,6,3,4,5,2] => [2,3,1]
[1,6,3,5,2,4] => [2,2,2]
[1,6,3,5,4,2] => [2,2,1,1]
[1,6,4,2,3,5] => [2,1,3]
[1,6,4,2,5,3] => [2,1,2,1]
[1,6,4,3,2,5] => [2,1,1,2]
[1,6,4,3,5,2] => [2,1,2,1]
[1,6,4,5,2,3] => [2,2,2]
[1,6,4,5,3,2] => [2,2,1,1]
[1,6,5,2,3,4] => [2,1,3]
[1,6,5,2,4,3] => [2,1,2,1]
[1,6,5,3,2,4] => [2,1,1,2]
[1,6,5,3,4,2] => [2,1,2,1]
[1,6,5,4,2,3] => [2,1,1,2]
[1,6,5,4,3,2] => [2,1,1,1,1]
[2,1,3,4,5,6] => [1,5]
[2,1,3,4,6,5] => [1,4,1]
[2,1,3,5,4,6] => [1,3,2]
[2,1,3,5,6,4] => [1,4,1]
[2,1,3,6,4,5] => [1,3,2]
[2,1,3,6,5,4] => [1,3,1,1]
[2,1,4,3,5,6] => [1,2,3]
[2,1,4,3,6,5] => [1,2,2,1]
[2,1,4,5,3,6] => [1,3,2]
[2,1,4,5,6,3] => [1,4,1]
[2,1,4,6,3,5] => [1,3,2]
[2,1,4,6,5,3] => [1,3,1,1]
[2,1,5,3,4,6] => [1,2,3]
[2,1,5,3,6,4] => [1,2,2,1]
[2,1,5,4,3,6] => [1,2,1,2]
[2,1,5,4,6,3] => [1,2,2,1]
[2,1,5,6,3,4] => [1,3,2]
[2,1,5,6,4,3] => [1,3,1,1]
[2,1,6,3,4,5] => [1,2,3]
[2,1,6,3,5,4] => [1,2,2,1]
[2,1,6,4,3,5] => [1,2,1,2]
[2,1,6,4,5,3] => [1,2,2,1]
[2,1,6,5,3,4] => [1,2,1,2]
[2,1,6,5,4,3] => [1,2,1,1,1]
[2,3,1,4,5,6] => [2,4]
[2,3,1,4,6,5] => [2,3,1]
[2,3,1,5,4,6] => [2,2,2]
[2,3,1,5,6,4] => [2,3,1]
[2,3,1,6,4,5] => [2,2,2]
[2,3,1,6,5,4] => [2,2,1,1]
[2,3,4,1,5,6] => [3,3]
[2,3,4,1,6,5] => [3,2,1]
[2,3,4,5,1,6] => [4,2]
[2,3,4,5,6,1] => [5,1]
[2,3,4,6,1,5] => [4,2]
[2,3,4,6,5,1] => [4,1,1]
[2,3,5,1,4,6] => [3,3]
[2,3,5,1,6,4] => [3,2,1]
[2,3,5,4,1,6] => [3,1,2]
[2,3,5,4,6,1] => [3,2,1]
[2,3,5,6,1,4] => [4,2]
[2,3,5,6,4,1] => [4,1,1]
[2,3,6,1,4,5] => [3,3]
[2,3,6,1,5,4] => [3,2,1]
[2,3,6,4,1,5] => [3,1,2]
[2,3,6,4,5,1] => [3,2,1]
[2,3,6,5,1,4] => [3,1,2]
[2,3,6,5,4,1] => [3,1,1,1]
[2,4,1,3,5,6] => [2,4]
[2,4,1,3,6,5] => [2,3,1]
[2,4,1,5,3,6] => [2,2,2]
[2,4,1,5,6,3] => [2,3,1]
[2,4,1,6,3,5] => [2,2,2]
[2,4,1,6,5,3] => [2,2,1,1]
[2,4,3,1,5,6] => [2,1,3]
[2,4,3,1,6,5] => [2,1,2,1]
[2,4,3,5,1,6] => [2,2,2]
[2,4,3,5,6,1] => [2,3,1]
[2,4,3,6,1,5] => [2,2,2]
[2,4,3,6,5,1] => [2,2,1,1]
[2,4,5,1,3,6] => [3,3]
[2,4,5,1,6,3] => [3,2,1]
[2,4,5,3,1,6] => [3,1,2]
[2,4,5,3,6,1] => [3,2,1]
[2,4,5,6,1,3] => [4,2]
[2,4,5,6,3,1] => [4,1,1]
[2,4,6,1,3,5] => [3,3]
[2,4,6,1,5,3] => [3,2,1]
[2,4,6,3,1,5] => [3,1,2]
[2,4,6,3,5,1] => [3,2,1]
[2,4,6,5,1,3] => [3,1,2]
[2,4,6,5,3,1] => [3,1,1,1]
[2,5,1,3,4,6] => [2,4]
[2,5,1,3,6,4] => [2,3,1]
[2,5,1,4,3,6] => [2,2,2]
[2,5,1,4,6,3] => [2,3,1]
[2,5,1,6,3,4] => [2,2,2]
[2,5,1,6,4,3] => [2,2,1,1]
[2,5,3,1,4,6] => [2,1,3]
[2,5,3,1,6,4] => [2,1,2,1]
[2,5,3,4,1,6] => [2,2,2]
[2,5,3,4,6,1] => [2,3,1]
[2,5,3,6,1,4] => [2,2,2]
[2,5,3,6,4,1] => [2,2,1,1]
[2,5,4,1,3,6] => [2,1,3]
[2,5,4,1,6,3] => [2,1,2,1]
[2,5,4,3,1,6] => [2,1,1,2]
[2,5,4,3,6,1] => [2,1,2,1]
[2,5,4,6,1,3] => [2,2,2]
[2,5,4,6,3,1] => [2,2,1,1]
[2,5,6,1,3,4] => [3,3]
[2,5,6,1,4,3] => [3,2,1]
[2,5,6,3,1,4] => [3,1,2]
[2,5,6,3,4,1] => [3,2,1]
[2,5,6,4,1,3] => [3,1,2]
[2,5,6,4,3,1] => [3,1,1,1]
[2,6,1,3,4,5] => [2,4]
[2,6,1,3,5,4] => [2,3,1]
[2,6,1,4,3,5] => [2,2,2]
[2,6,1,4,5,3] => [2,3,1]
[2,6,1,5,3,4] => [2,2,2]
[2,6,1,5,4,3] => [2,2,1,1]
[2,6,3,1,4,5] => [2,1,3]
[2,6,3,1,5,4] => [2,1,2,1]
[2,6,3,4,1,5] => [2,2,2]
[2,6,3,4,5,1] => [2,3,1]
[2,6,3,5,1,4] => [2,2,2]
[2,6,3,5,4,1] => [2,2,1,1]
[2,6,4,1,3,5] => [2,1,3]
[2,6,4,1,5,3] => [2,1,2,1]
[2,6,4,3,1,5] => [2,1,1,2]
[2,6,4,3,5,1] => [2,1,2,1]
[2,6,4,5,1,3] => [2,2,2]
[2,6,4,5,3,1] => [2,2,1,1]
[2,6,5,1,3,4] => [2,1,3]
[2,6,5,1,4,3] => [2,1,2,1]
[2,6,5,3,1,4] => [2,1,1,2]
[2,6,5,3,4,1] => [2,1,2,1]
[2,6,5,4,1,3] => [2,1,1,2]
[2,6,5,4,3,1] => [2,1,1,1,1]
[3,1,2,4,5,6] => [1,5]
[3,1,2,4,6,5] => [1,4,1]
[3,1,2,5,4,6] => [1,3,2]
[3,1,2,5,6,4] => [1,4,1]
[3,1,2,6,4,5] => [1,3,2]
[3,1,2,6,5,4] => [1,3,1,1]
[3,1,4,2,5,6] => [1,2,3]
[3,1,4,2,6,5] => [1,2,2,1]
[3,1,4,5,2,6] => [1,3,2]
[3,1,4,5,6,2] => [1,4,1]
[3,1,4,6,2,5] => [1,3,2]
[3,1,4,6,5,2] => [1,3,1,1]
[3,1,5,2,4,6] => [1,2,3]
[3,1,5,2,6,4] => [1,2,2,1]
[3,1,5,4,2,6] => [1,2,1,2]
[3,1,5,4,6,2] => [1,2,2,1]
[3,1,5,6,2,4] => [1,3,2]
[3,1,5,6,4,2] => [1,3,1,1]
[3,1,6,2,4,5] => [1,2,3]
[3,1,6,2,5,4] => [1,2,2,1]
[3,1,6,4,2,5] => [1,2,1,2]
[3,1,6,4,5,2] => [1,2,2,1]
[3,1,6,5,2,4] => [1,2,1,2]
[3,1,6,5,4,2] => [1,2,1,1,1]
[3,2,1,4,5,6] => [1,1,4]
[3,2,1,4,6,5] => [1,1,3,1]
[3,2,1,5,4,6] => [1,1,2,2]
[3,2,1,5,6,4] => [1,1,3,1]
[3,2,1,6,4,5] => [1,1,2,2]
[3,2,1,6,5,4] => [1,1,2,1,1]
[3,2,4,1,5,6] => [1,2,3]
[3,2,4,1,6,5] => [1,2,2,1]
[3,2,4,5,1,6] => [1,3,2]
[3,2,4,5,6,1] => [1,4,1]
[3,2,4,6,1,5] => [1,3,2]
[3,2,4,6,5,1] => [1,3,1,1]
[3,2,5,1,4,6] => [1,2,3]
[3,2,5,1,6,4] => [1,2,2,1]
[3,2,5,4,1,6] => [1,2,1,2]
[3,2,5,4,6,1] => [1,2,2,1]
[3,2,5,6,1,4] => [1,3,2]
[3,2,5,6,4,1] => [1,3,1,1]
[3,2,6,1,4,5] => [1,2,3]
[3,2,6,1,5,4] => [1,2,2,1]
[3,2,6,4,1,5] => [1,2,1,2]
[3,2,6,4,5,1] => [1,2,2,1]
[3,2,6,5,1,4] => [1,2,1,2]
[3,2,6,5,4,1] => [1,2,1,1,1]
[3,4,1,2,5,6] => [2,4]
[3,4,1,2,6,5] => [2,3,1]
[3,4,1,5,2,6] => [2,2,2]
[3,4,1,5,6,2] => [2,3,1]
[3,4,1,6,2,5] => [2,2,2]
[3,4,1,6,5,2] => [2,2,1,1]
[3,4,2,1,5,6] => [2,1,3]
[3,4,2,1,6,5] => [2,1,2,1]
[3,4,2,5,1,6] => [2,2,2]
[3,4,2,5,6,1] => [2,3,1]
[3,4,2,6,1,5] => [2,2,2]
[3,4,2,6,5,1] => [2,2,1,1]
[3,4,5,1,2,6] => [3,3]
[3,4,5,1,6,2] => [3,2,1]
[3,4,5,2,1,6] => [3,1,2]
[3,4,5,2,6,1] => [3,2,1]
[3,4,5,6,1,2] => [4,2]
[3,4,5,6,2,1] => [4,1,1]
[3,4,6,1,2,5] => [3,3]
[3,4,6,1,5,2] => [3,2,1]
[3,4,6,2,1,5] => [3,1,2]
[3,4,6,2,5,1] => [3,2,1]
[3,4,6,5,1,2] => [3,1,2]
[3,4,6,5,2,1] => [3,1,1,1]
[3,5,1,2,4,6] => [2,4]
[3,5,1,2,6,4] => [2,3,1]
[3,5,1,4,2,6] => [2,2,2]
[3,5,1,4,6,2] => [2,3,1]
[3,5,1,6,2,4] => [2,2,2]
[3,5,1,6,4,2] => [2,2,1,1]
[3,5,2,1,4,6] => [2,1,3]
[3,5,2,1,6,4] => [2,1,2,1]
[3,5,2,4,1,6] => [2,2,2]
[3,5,2,4,6,1] => [2,3,1]
[3,5,2,6,1,4] => [2,2,2]
[3,5,2,6,4,1] => [2,2,1,1]
[3,5,4,1,2,6] => [2,1,3]
[3,5,4,1,6,2] => [2,1,2,1]
[3,5,4,2,1,6] => [2,1,1,2]
[3,5,4,2,6,1] => [2,1,2,1]
[3,5,4,6,1,2] => [2,2,2]
[3,5,4,6,2,1] => [2,2,1,1]
[3,5,6,1,2,4] => [3,3]
[3,5,6,1,4,2] => [3,2,1]
[3,5,6,2,1,4] => [3,1,2]
[3,5,6,2,4,1] => [3,2,1]
[3,5,6,4,1,2] => [3,1,2]
[3,5,6,4,2,1] => [3,1,1,1]
[3,6,1,2,4,5] => [2,4]
[3,6,1,2,5,4] => [2,3,1]
[3,6,1,4,2,5] => [2,2,2]
[3,6,1,4,5,2] => [2,3,1]
[3,6,1,5,2,4] => [2,2,2]
[3,6,1,5,4,2] => [2,2,1,1]
[3,6,2,1,4,5] => [2,1,3]
[3,6,2,1,5,4] => [2,1,2,1]
[3,6,2,4,1,5] => [2,2,2]
[3,6,2,4,5,1] => [2,3,1]
[3,6,2,5,1,4] => [2,2,2]
[3,6,2,5,4,1] => [2,2,1,1]
[3,6,4,1,2,5] => [2,1,3]
[3,6,4,1,5,2] => [2,1,2,1]
[3,6,4,2,1,5] => [2,1,1,2]
[3,6,4,2,5,1] => [2,1,2,1]
[3,6,4,5,1,2] => [2,2,2]
[3,6,4,5,2,1] => [2,2,1,1]
[3,6,5,1,2,4] => [2,1,3]
[3,6,5,1,4,2] => [2,1,2,1]
[3,6,5,2,1,4] => [2,1,1,2]
[3,6,5,2,4,1] => [2,1,2,1]
[3,6,5,4,1,2] => [2,1,1,2]
[3,6,5,4,2,1] => [2,1,1,1,1]
[4,1,2,3,5,6] => [1,5]
[4,1,2,3,6,5] => [1,4,1]
[4,1,2,5,3,6] => [1,3,2]
[4,1,2,5,6,3] => [1,4,1]
[4,1,2,6,3,5] => [1,3,2]
[4,1,2,6,5,3] => [1,3,1,1]
[4,1,3,2,5,6] => [1,2,3]
[4,1,3,2,6,5] => [1,2,2,1]
[4,1,3,5,2,6] => [1,3,2]
[4,1,3,5,6,2] => [1,4,1]
[4,1,3,6,2,5] => [1,3,2]
[4,1,3,6,5,2] => [1,3,1,1]
[4,1,5,2,3,6] => [1,2,3]
[4,1,5,2,6,3] => [1,2,2,1]
[4,1,5,3,2,6] => [1,2,1,2]
[4,1,5,3,6,2] => [1,2,2,1]
[4,1,5,6,2,3] => [1,3,2]
[4,1,5,6,3,2] => [1,3,1,1]
[4,1,6,2,3,5] => [1,2,3]
[4,1,6,2,5,3] => [1,2,2,1]
[4,1,6,3,2,5] => [1,2,1,2]
[4,1,6,3,5,2] => [1,2,2,1]
[4,1,6,5,2,3] => [1,2,1,2]
[4,1,6,5,3,2] => [1,2,1,1,1]
[4,2,1,3,5,6] => [1,1,4]
[4,2,1,3,6,5] => [1,1,3,1]
[4,2,1,5,3,6] => [1,1,2,2]
[4,2,1,5,6,3] => [1,1,3,1]
[4,2,1,6,3,5] => [1,1,2,2]
[4,2,1,6,5,3] => [1,1,2,1,1]
[4,2,3,1,5,6] => [1,2,3]
[4,2,3,1,6,5] => [1,2,2,1]
[4,2,3,5,1,6] => [1,3,2]
[4,2,3,5,6,1] => [1,4,1]
[4,2,3,6,1,5] => [1,3,2]
[4,2,3,6,5,1] => [1,3,1,1]
[4,2,5,1,3,6] => [1,2,3]
[4,2,5,1,6,3] => [1,2,2,1]
[4,2,5,3,1,6] => [1,2,1,2]
[4,2,5,3,6,1] => [1,2,2,1]
[4,2,5,6,1,3] => [1,3,2]
[4,2,5,6,3,1] => [1,3,1,1]
[4,2,6,1,3,5] => [1,2,3]
[4,2,6,1,5,3] => [1,2,2,1]
[4,2,6,3,1,5] => [1,2,1,2]
[4,2,6,3,5,1] => [1,2,2,1]
[4,2,6,5,1,3] => [1,2,1,2]
[4,2,6,5,3,1] => [1,2,1,1,1]
[4,3,1,2,5,6] => [1,1,4]
[4,3,1,2,6,5] => [1,1,3,1]
[4,3,1,5,2,6] => [1,1,2,2]
[4,3,1,5,6,2] => [1,1,3,1]
[4,3,1,6,2,5] => [1,1,2,2]
[4,3,1,6,5,2] => [1,1,2,1,1]
[4,3,2,1,5,6] => [1,1,1,3]
[4,3,2,1,6,5] => [1,1,1,2,1]
[4,3,2,5,1,6] => [1,1,2,2]
[4,3,2,5,6,1] => [1,1,3,1]
[4,3,2,6,1,5] => [1,1,2,2]
[4,3,2,6,5,1] => [1,1,2,1,1]
[4,3,5,1,2,6] => [1,2,3]
[4,3,5,1,6,2] => [1,2,2,1]
[4,3,5,2,1,6] => [1,2,1,2]
[4,3,5,2,6,1] => [1,2,2,1]
[4,3,5,6,1,2] => [1,3,2]
[4,3,5,6,2,1] => [1,3,1,1]
[4,3,6,1,2,5] => [1,2,3]
[4,3,6,1,5,2] => [1,2,2,1]
[4,3,6,2,1,5] => [1,2,1,2]
[4,3,6,2,5,1] => [1,2,2,1]
[4,3,6,5,1,2] => [1,2,1,2]
[4,3,6,5,2,1] => [1,2,1,1,1]
[4,5,1,2,3,6] => [2,4]
[4,5,1,2,6,3] => [2,3,1]
[4,5,1,3,2,6] => [2,2,2]
[4,5,1,3,6,2] => [2,3,1]
[4,5,1,6,2,3] => [2,2,2]
[4,5,1,6,3,2] => [2,2,1,1]
[4,5,2,1,3,6] => [2,1,3]
[4,5,2,1,6,3] => [2,1,2,1]
[4,5,2,3,1,6] => [2,2,2]
[4,5,2,3,6,1] => [2,3,1]
[4,5,2,6,1,3] => [2,2,2]
[4,5,2,6,3,1] => [2,2,1,1]
[4,5,3,1,2,6] => [2,1,3]
[4,5,3,1,6,2] => [2,1,2,1]
[4,5,3,2,1,6] => [2,1,1,2]
[4,5,3,2,6,1] => [2,1,2,1]
[4,5,3,6,1,2] => [2,2,2]
[4,5,3,6,2,1] => [2,2,1,1]
[4,5,6,1,2,3] => [3,3]
[4,5,6,1,3,2] => [3,2,1]
[4,5,6,2,1,3] => [3,1,2]
[4,5,6,2,3,1] => [3,2,1]
[4,5,6,3,1,2] => [3,1,2]
[4,5,6,3,2,1] => [3,1,1,1]
[4,6,1,2,3,5] => [2,4]
[4,6,1,2,5,3] => [2,3,1]
[4,6,1,3,2,5] => [2,2,2]
[4,6,1,3,5,2] => [2,3,1]
[4,6,1,5,2,3] => [2,2,2]
[4,6,1,5,3,2] => [2,2,1,1]
[4,6,2,1,3,5] => [2,1,3]
[4,6,2,1,5,3] => [2,1,2,1]
[4,6,2,3,1,5] => [2,2,2]
[4,6,2,3,5,1] => [2,3,1]
[4,6,2,5,1,3] => [2,2,2]
[4,6,2,5,3,1] => [2,2,1,1]
[4,6,3,1,2,5] => [2,1,3]
[4,6,3,1,5,2] => [2,1,2,1]
[4,6,3,2,1,5] => [2,1,1,2]
[4,6,3,2,5,1] => [2,1,2,1]
[4,6,3,5,1,2] => [2,2,2]
[4,6,3,5,2,1] => [2,2,1,1]
[4,6,5,1,2,3] => [2,1,3]
[4,6,5,1,3,2] => [2,1,2,1]
[4,6,5,2,1,3] => [2,1,1,2]
[4,6,5,2,3,1] => [2,1,2,1]
[4,6,5,3,1,2] => [2,1,1,2]
[4,6,5,3,2,1] => [2,1,1,1,1]
[5,1,2,3,4,6] => [1,5]
[5,1,2,3,6,4] => [1,4,1]
[5,1,2,4,3,6] => [1,3,2]
[5,1,2,4,6,3] => [1,4,1]
[5,1,2,6,3,4] => [1,3,2]
[5,1,2,6,4,3] => [1,3,1,1]
[5,1,3,2,4,6] => [1,2,3]
[5,1,3,2,6,4] => [1,2,2,1]
[5,1,3,4,2,6] => [1,3,2]
[5,1,3,4,6,2] => [1,4,1]
[5,1,3,6,2,4] => [1,3,2]
[5,1,3,6,4,2] => [1,3,1,1]
[5,1,4,2,3,6] => [1,2,3]
[5,1,4,2,6,3] => [1,2,2,1]
[5,1,4,3,2,6] => [1,2,1,2]
[5,1,4,3,6,2] => [1,2,2,1]
[5,1,4,6,2,3] => [1,3,2]
[5,1,4,6,3,2] => [1,3,1,1]
[5,1,6,2,3,4] => [1,2,3]
[5,1,6,2,4,3] => [1,2,2,1]
[5,1,6,3,2,4] => [1,2,1,2]
[5,1,6,3,4,2] => [1,2,2,1]
[5,1,6,4,2,3] => [1,2,1,2]
[5,1,6,4,3,2] => [1,2,1,1,1]
[5,2,1,3,4,6] => [1,1,4]
[5,2,1,3,6,4] => [1,1,3,1]
[5,2,1,4,3,6] => [1,1,2,2]
[5,2,1,4,6,3] => [1,1,3,1]
[5,2,1,6,3,4] => [1,1,2,2]
[5,2,1,6,4,3] => [1,1,2,1,1]
[5,2,3,1,4,6] => [1,2,3]
[5,2,3,1,6,4] => [1,2,2,1]
[5,2,3,4,1,6] => [1,3,2]
[5,2,3,4,6,1] => [1,4,1]
[5,2,3,6,1,4] => [1,3,2]
[5,2,3,6,4,1] => [1,3,1,1]
[5,2,4,1,3,6] => [1,2,3]
[5,2,4,1,6,3] => [1,2,2,1]
[5,2,4,3,1,6] => [1,2,1,2]
[5,2,4,3,6,1] => [1,2,2,1]
[5,2,4,6,1,3] => [1,3,2]
[5,2,4,6,3,1] => [1,3,1,1]
[5,2,6,1,3,4] => [1,2,3]
[5,2,6,1,4,3] => [1,2,2,1]
[5,2,6,3,1,4] => [1,2,1,2]
[5,2,6,3,4,1] => [1,2,2,1]
[5,2,6,4,1,3] => [1,2,1,2]
[5,2,6,4,3,1] => [1,2,1,1,1]
[5,3,1,2,4,6] => [1,1,4]
[5,3,1,2,6,4] => [1,1,3,1]
[5,3,1,4,2,6] => [1,1,2,2]
[5,3,1,4,6,2] => [1,1,3,1]
[5,3,1,6,2,4] => [1,1,2,2]
[5,3,1,6,4,2] => [1,1,2,1,1]
[5,3,2,1,4,6] => [1,1,1,3]
[5,3,2,1,6,4] => [1,1,1,2,1]
[5,3,2,4,1,6] => [1,1,2,2]
[5,3,2,4,6,1] => [1,1,3,1]
[5,3,2,6,1,4] => [1,1,2,2]
[5,3,2,6,4,1] => [1,1,2,1,1]
[5,3,4,1,2,6] => [1,2,3]
[5,3,4,1,6,2] => [1,2,2,1]
[5,3,4,2,1,6] => [1,2,1,2]
[5,3,4,2,6,1] => [1,2,2,1]
[5,3,4,6,1,2] => [1,3,2]
[5,3,4,6,2,1] => [1,3,1,1]
[5,3,6,1,2,4] => [1,2,3]
[5,3,6,1,4,2] => [1,2,2,1]
[5,3,6,2,1,4] => [1,2,1,2]
[5,3,6,2,4,1] => [1,2,2,1]
[5,3,6,4,1,2] => [1,2,1,2]
[5,3,6,4,2,1] => [1,2,1,1,1]
[5,4,1,2,3,6] => [1,1,4]
[5,4,1,2,6,3] => [1,1,3,1]
[5,4,1,3,2,6] => [1,1,2,2]
[5,4,1,3,6,2] => [1,1,3,1]
[5,4,1,6,2,3] => [1,1,2,2]
[5,4,1,6,3,2] => [1,1,2,1,1]
[5,4,2,1,3,6] => [1,1,1,3]
[5,4,2,1,6,3] => [1,1,1,2,1]
[5,4,2,3,1,6] => [1,1,2,2]
[5,4,2,3,6,1] => [1,1,3,1]
[5,4,2,6,1,3] => [1,1,2,2]
[5,4,2,6,3,1] => [1,1,2,1,1]
[5,4,3,1,2,6] => [1,1,1,3]
[5,4,3,1,6,2] => [1,1,1,2,1]
[5,4,3,2,1,6] => [1,1,1,1,2]
[5,4,3,2,6,1] => [1,1,1,2,1]
[5,4,3,6,1,2] => [1,1,2,2]
[5,4,3,6,2,1] => [1,1,2,1,1]
[5,4,6,1,2,3] => [1,2,3]
[5,4,6,1,3,2] => [1,2,2,1]
[5,4,6,2,1,3] => [1,2,1,2]
[5,4,6,2,3,1] => [1,2,2,1]
[5,4,6,3,1,2] => [1,2,1,2]
[5,4,6,3,2,1] => [1,2,1,1,1]
[5,6,1,2,3,4] => [2,4]
[5,6,1,2,4,3] => [2,3,1]
[5,6,1,3,2,4] => [2,2,2]
[5,6,1,3,4,2] => [2,3,1]
[5,6,1,4,2,3] => [2,2,2]
[5,6,1,4,3,2] => [2,2,1,1]
[5,6,2,1,3,4] => [2,1,3]
[5,6,2,1,4,3] => [2,1,2,1]
[5,6,2,3,1,4] => [2,2,2]
[5,6,2,3,4,1] => [2,3,1]
[5,6,2,4,1,3] => [2,2,2]
[5,6,2,4,3,1] => [2,2,1,1]
[5,6,3,1,2,4] => [2,1,3]
[5,6,3,1,4,2] => [2,1,2,1]
[5,6,3,2,1,4] => [2,1,1,2]
[5,6,3,2,4,1] => [2,1,2,1]
[5,6,3,4,1,2] => [2,2,2]
[5,6,3,4,2,1] => [2,2,1,1]
[5,6,4,1,2,3] => [2,1,3]
[5,6,4,1,3,2] => [2,1,2,1]
[5,6,4,2,1,3] => [2,1,1,2]
[5,6,4,2,3,1] => [2,1,2,1]
[5,6,4,3,1,2] => [2,1,1,2]
[5,6,4,3,2,1] => [2,1,1,1,1]
[6,1,2,3,4,5] => [1,5]
[6,1,2,3,5,4] => [1,4,1]
[6,1,2,4,3,5] => [1,3,2]
[6,1,2,4,5,3] => [1,4,1]
[6,1,2,5,3,4] => [1,3,2]
[6,1,2,5,4,3] => [1,3,1,1]
[6,1,3,2,4,5] => [1,2,3]
[6,1,3,2,5,4] => [1,2,2,1]
[6,1,3,4,2,5] => [1,3,2]
[6,1,3,4,5,2] => [1,4,1]
[6,1,3,5,2,4] => [1,3,2]
[6,1,3,5,4,2] => [1,3,1,1]
[6,1,4,2,3,5] => [1,2,3]
[6,1,4,2,5,3] => [1,2,2,1]
[6,1,4,3,2,5] => [1,2,1,2]
[6,1,4,3,5,2] => [1,2,2,1]
[6,1,4,5,2,3] => [1,3,2]
[6,1,4,5,3,2] => [1,3,1,1]
[6,1,5,2,3,4] => [1,2,3]
[6,1,5,2,4,3] => [1,2,2,1]
[6,1,5,3,2,4] => [1,2,1,2]
[6,1,5,3,4,2] => [1,2,2,1]
[6,1,5,4,2,3] => [1,2,1,2]
[6,1,5,4,3,2] => [1,2,1,1,1]
[6,2,1,3,4,5] => [1,1,4]
[6,2,1,3,5,4] => [1,1,3,1]
[6,2,1,4,3,5] => [1,1,2,2]
[6,2,1,4,5,3] => [1,1,3,1]
[6,2,1,5,3,4] => [1,1,2,2]
[6,2,1,5,4,3] => [1,1,2,1,1]
[6,2,3,1,4,5] => [1,2,3]
[6,2,3,1,5,4] => [1,2,2,1]
[6,2,3,4,1,5] => [1,3,2]
[6,2,3,4,5,1] => [1,4,1]
[6,2,3,5,1,4] => [1,3,2]
[6,2,3,5,4,1] => [1,3,1,1]
[6,2,4,1,3,5] => [1,2,3]
[6,2,4,1,5,3] => [1,2,2,1]
[6,2,4,3,1,5] => [1,2,1,2]
[6,2,4,3,5,1] => [1,2,2,1]
[6,2,4,5,1,3] => [1,3,2]
[6,2,4,5,3,1] => [1,3,1,1]
[6,2,5,1,3,4] => [1,2,3]
[6,2,5,1,4,3] => [1,2,2,1]
[6,2,5,3,1,4] => [1,2,1,2]
[6,2,5,3,4,1] => [1,2,2,1]
[6,2,5,4,1,3] => [1,2,1,2]
[6,2,5,4,3,1] => [1,2,1,1,1]
[6,3,1,2,4,5] => [1,1,4]
[6,3,1,2,5,4] => [1,1,3,1]
[6,3,1,4,2,5] => [1,1,2,2]
[6,3,1,4,5,2] => [1,1,3,1]
[6,3,1,5,2,4] => [1,1,2,2]
[6,3,1,5,4,2] => [1,1,2,1,1]
[6,3,2,1,4,5] => [1,1,1,3]
[6,3,2,1,5,4] => [1,1,1,2,1]
[6,3,2,4,1,5] => [1,1,2,2]
[6,3,2,4,5,1] => [1,1,3,1]
[6,3,2,5,1,4] => [1,1,2,2]
[6,3,2,5,4,1] => [1,1,2,1,1]
[6,3,4,1,2,5] => [1,2,3]
[6,3,4,1,5,2] => [1,2,2,1]
[6,3,4,2,1,5] => [1,2,1,2]
[6,3,4,2,5,1] => [1,2,2,1]
[6,3,4,5,1,2] => [1,3,2]
[6,3,4,5,2,1] => [1,3,1,1]
[6,3,5,1,2,4] => [1,2,3]
[6,3,5,1,4,2] => [1,2,2,1]
[6,3,5,2,1,4] => [1,2,1,2]
[6,3,5,2,4,1] => [1,2,2,1]
[6,3,5,4,1,2] => [1,2,1,2]
[6,3,5,4,2,1] => [1,2,1,1,1]
[6,4,1,2,3,5] => [1,1,4]
[6,4,1,2,5,3] => [1,1,3,1]
[6,4,1,3,2,5] => [1,1,2,2]
[6,4,1,3,5,2] => [1,1,3,1]
[6,4,1,5,2,3] => [1,1,2,2]
[6,4,1,5,3,2] => [1,1,2,1,1]
[6,4,2,1,3,5] => [1,1,1,3]
[6,4,2,1,5,3] => [1,1,1,2,1]
[6,4,2,3,1,5] => [1,1,2,2]
[6,4,2,3,5,1] => [1,1,3,1]
[6,4,2,5,1,3] => [1,1,2,2]
[6,4,2,5,3,1] => [1,1,2,1,1]
[6,4,3,1,2,5] => [1,1,1,3]
[6,4,3,1,5,2] => [1,1,1,2,1]
[6,4,3,2,1,5] => [1,1,1,1,2]
[6,4,3,2,5,1] => [1,1,1,2,1]
[6,4,3,5,1,2] => [1,1,2,2]
[6,4,3,5,2,1] => [1,1,2,1,1]
[6,4,5,1,2,3] => [1,2,3]
[6,4,5,1,3,2] => [1,2,2,1]
[6,4,5,2,1,3] => [1,2,1,2]
[6,4,5,2,3,1] => [1,2,2,1]
[6,4,5,3,1,2] => [1,2,1,2]
[6,4,5,3,2,1] => [1,2,1,1,1]
[6,5,1,2,3,4] => [1,1,4]
[6,5,1,2,4,3] => [1,1,3,1]
[6,5,1,3,2,4] => [1,1,2,2]
[6,5,1,3,4,2] => [1,1,3,1]
[6,5,1,4,2,3] => [1,1,2,2]
[6,5,1,4,3,2] => [1,1,2,1,1]
[6,5,2,1,3,4] => [1,1,1,3]
[6,5,2,1,4,3] => [1,1,1,2,1]
[6,5,2,3,1,4] => [1,1,2,2]
[6,5,2,3,4,1] => [1,1,3,1]
[6,5,2,4,1,3] => [1,1,2,2]
[6,5,2,4,3,1] => [1,1,2,1,1]
[6,5,3,1,2,4] => [1,1,1,3]
[6,5,3,1,4,2] => [1,1,1,2,1]
[6,5,3,2,1,4] => [1,1,1,1,2]
[6,5,3,2,4,1] => [1,1,1,2,1]
[6,5,3,4,1,2] => [1,1,2,2]
[6,5,3,4,2,1] => [1,1,2,1,1]
[6,5,4,1,2,3] => [1,1,1,3]
[6,5,4,1,3,2] => [1,1,1,2,1]
[6,5,4,2,1,3] => [1,1,1,1,2]
[6,5,4,2,3,1] => [1,1,1,2,1]
[6,5,4,3,1,2] => [1,1,1,1,2]
[6,5,4,3,2,1] => [1,1,1,1,1,1]
[1,2,3,4,5,6,7] => [7]
[1,2,3,4,5,7,6] => [6,1]
[1,2,3,4,6,5,7] => [5,2]
[1,2,3,4,6,7,5] => [6,1]
[1,2,3,4,7,5,6] => [5,2]
[1,2,3,4,7,6,5] => [5,1,1]
[1,2,3,5,4,6,7] => [4,3]
[1,2,3,5,4,7,6] => [4,2,1]
[1,2,3,5,6,4,7] => [5,2]
[1,2,3,5,6,7,4] => [6,1]
[1,2,3,5,7,4,6] => [5,2]
[1,2,3,5,7,6,4] => [5,1,1]
[1,2,3,6,4,5,7] => [4,3]
[1,2,3,6,4,7,5] => [4,2,1]
[1,2,3,6,5,4,7] => [4,1,2]
[1,2,3,6,5,7,4] => [4,2,1]
[1,2,3,6,7,4,5] => [5,2]
[1,2,3,6,7,5,4] => [5,1,1]
[1,2,3,7,4,5,6] => [4,3]
[1,2,3,7,4,6,5] => [4,2,1]
[1,2,3,7,5,4,6] => [4,1,2]
[1,2,3,7,5,6,4] => [4,2,1]
[1,2,3,7,6,4,5] => [4,1,2]
[1,2,3,7,6,5,4] => [4,1,1,1]
[1,2,4,3,5,6,7] => [3,4]
[1,2,4,3,5,7,6] => [3,3,1]
[1,2,4,3,6,5,7] => [3,2,2]
[1,2,4,3,6,7,5] => [3,3,1]
[1,2,4,3,7,5,6] => [3,2,2]
[1,2,4,3,7,6,5] => [3,2,1,1]
[1,2,4,5,3,6,7] => [4,3]
[1,2,4,5,3,7,6] => [4,2,1]
[1,2,4,5,6,3,7] => [5,2]
[1,2,4,5,6,7,3] => [6,1]
[1,2,4,5,7,3,6] => [5,2]
[1,2,4,5,7,6,3] => [5,1,1]
[1,2,4,6,3,5,7] => [4,3]
[1,2,4,6,3,7,5] => [4,2,1]
[1,2,4,6,5,3,7] => [4,1,2]
[1,2,4,6,5,7,3] => [4,2,1]
[1,2,4,6,7,3,5] => [5,2]
[1,2,4,6,7,5,3] => [5,1,1]
[1,2,4,7,3,5,6] => [4,3]
[1,2,4,7,3,6,5] => [4,2,1]
[1,2,4,7,5,3,6] => [4,1,2]
[1,2,4,7,5,6,3] => [4,2,1]
[1,2,4,7,6,3,5] => [4,1,2]
[1,2,4,7,6,5,3] => [4,1,1,1]
[1,2,5,3,4,6,7] => [3,4]
[1,2,5,3,4,7,6] => [3,3,1]
[1,2,5,3,6,4,7] => [3,2,2]
[1,2,5,3,6,7,4] => [3,3,1]
[1,2,5,3,7,4,6] => [3,2,2]
[1,2,5,3,7,6,4] => [3,2,1,1]
[1,2,5,4,3,6,7] => [3,1,3]
[1,2,5,4,3,7,6] => [3,1,2,1]
[1,2,5,4,6,3,7] => [3,2,2]
[1,2,5,4,6,7,3] => [3,3,1]
[1,2,5,4,7,3,6] => [3,2,2]
[1,2,5,4,7,6,3] => [3,2,1,1]
[1,2,5,6,3,4,7] => [4,3]
[1,2,5,6,3,7,4] => [4,2,1]
[1,2,5,6,4,3,7] => [4,1,2]
[1,2,5,6,4,7,3] => [4,2,1]
[1,2,5,6,7,3,4] => [5,2]
[1,2,5,6,7,4,3] => [5,1,1]
[1,2,5,7,3,4,6] => [4,3]
[1,2,5,7,3,6,4] => [4,2,1]
[1,2,5,7,4,3,6] => [4,1,2]
[1,2,5,7,4,6,3] => [4,2,1]
[1,2,5,7,6,3,4] => [4,1,2]
[1,2,5,7,6,4,3] => [4,1,1,1]
[1,2,6,3,4,5,7] => [3,4]
[1,2,6,3,4,7,5] => [3,3,1]
[1,2,6,3,5,4,7] => [3,2,2]
[1,2,6,3,5,7,4] => [3,3,1]
[1,2,6,3,7,4,5] => [3,2,2]
[1,2,6,3,7,5,4] => [3,2,1,1]
[1,2,6,4,3,5,7] => [3,1,3]
[1,2,6,4,3,7,5] => [3,1,2,1]
[1,2,6,4,5,3,7] => [3,2,2]
[1,2,6,4,5,7,3] => [3,3,1]
[1,2,6,4,7,3,5] => [3,2,2]
[1,2,6,4,7,5,3] => [3,2,1,1]
[1,2,6,5,3,4,7] => [3,1,3]
[1,2,6,5,3,7,4] => [3,1,2,1]
[1,2,6,5,4,3,7] => [3,1,1,2]
[1,2,6,5,4,7,3] => [3,1,2,1]
[1,2,6,5,7,3,4] => [3,2,2]
[1,2,6,5,7,4,3] => [3,2,1,1]
[1,2,6,7,3,4,5] => [4,3]
[1,2,6,7,3,5,4] => [4,2,1]
[1,2,6,7,4,3,5] => [4,1,2]
[1,2,6,7,4,5,3] => [4,2,1]
[1,2,6,7,5,3,4] => [4,1,2]
[1,2,6,7,5,4,3] => [4,1,1,1]
[1,2,7,3,4,5,6] => [3,4]
[1,2,7,3,4,6,5] => [3,3,1]
[1,2,7,3,5,4,6] => [3,2,2]
[1,2,7,3,5,6,4] => [3,3,1]
[1,2,7,3,6,4,5] => [3,2,2]
[1,2,7,3,6,5,4] => [3,2,1,1]
[1,2,7,4,3,5,6] => [3,1,3]
[1,2,7,4,3,6,5] => [3,1,2,1]
[1,2,7,4,5,3,6] => [3,2,2]
[1,2,7,4,5,6,3] => [3,3,1]
[1,2,7,4,6,3,5] => [3,2,2]
[1,2,7,4,6,5,3] => [3,2,1,1]
[1,2,7,5,3,4,6] => [3,1,3]
[1,2,7,5,3,6,4] => [3,1,2,1]
[1,2,7,5,4,3,6] => [3,1,1,2]
[1,2,7,5,4,6,3] => [3,1,2,1]
[1,2,7,5,6,3,4] => [3,2,2]
[1,2,7,5,6,4,3] => [3,2,1,1]
[1,2,7,6,3,4,5] => [3,1,3]
[1,2,7,6,3,5,4] => [3,1,2,1]
[1,2,7,6,4,3,5] => [3,1,1,2]
[1,2,7,6,4,5,3] => [3,1,2,1]
[1,2,7,6,5,3,4] => [3,1,1,2]
[1,2,7,6,5,4,3] => [3,1,1,1,1]
[1,3,2,4,5,6,7] => [2,5]
[1,3,2,4,5,7,6] => [2,4,1]
[1,3,2,4,6,5,7] => [2,3,2]
[1,3,2,4,6,7,5] => [2,4,1]
[1,3,2,4,7,5,6] => [2,3,2]
[1,3,2,4,7,6,5] => [2,3,1,1]
[1,3,2,5,4,6,7] => [2,2,3]
[1,3,2,5,4,7,6] => [2,2,2,1]
[1,3,2,5,6,4,7] => [2,3,2]
[1,3,2,5,6,7,4] => [2,4,1]
[1,3,2,5,7,4,6] => [2,3,2]
[1,3,2,5,7,6,4] => [2,3,1,1]
[1,3,2,6,4,5,7] => [2,2,3]
[1,3,2,6,4,7,5] => [2,2,2,1]
[1,3,2,6,5,4,7] => [2,2,1,2]
[1,3,2,6,5,7,4] => [2,2,2,1]
[1,3,2,6,7,4,5] => [2,3,2]
[1,3,2,6,7,5,4] => [2,3,1,1]
[1,3,2,7,4,5,6] => [2,2,3]
[1,3,2,7,4,6,5] => [2,2,2,1]
[1,3,2,7,5,4,6] => [2,2,1,2]
[1,3,2,7,5,6,4] => [2,2,2,1]
[1,3,2,7,6,4,5] => [2,2,1,2]
[1,3,2,7,6,5,4] => [2,2,1,1,1]
[1,3,4,2,5,6,7] => [3,4]
[1,3,4,2,5,7,6] => [3,3,1]
[1,3,4,2,6,5,7] => [3,2,2]
[1,3,4,2,6,7,5] => [3,3,1]
[1,3,4,2,7,5,6] => [3,2,2]
[1,3,4,2,7,6,5] => [3,2,1,1]
[1,3,4,5,2,6,7] => [4,3]
[1,3,4,5,2,7,6] => [4,2,1]
[1,3,4,5,6,2,7] => [5,2]
[1,3,4,5,6,7,2] => [6,1]
[1,3,4,5,7,2,6] => [5,2]
[1,3,4,5,7,6,2] => [5,1,1]
[1,3,4,6,2,5,7] => [4,3]
[1,3,4,6,2,7,5] => [4,2,1]
[1,3,4,6,5,2,7] => [4,1,2]
[1,3,4,6,5,7,2] => [4,2,1]
[1,3,4,6,7,2,5] => [5,2]
[1,3,4,6,7,5,2] => [5,1,1]
[1,3,4,7,2,5,6] => [4,3]
[1,3,4,7,2,6,5] => [4,2,1]
[1,3,4,7,5,2,6] => [4,1,2]
[1,3,4,7,5,6,2] => [4,2,1]
[1,3,4,7,6,2,5] => [4,1,2]
[1,3,4,7,6,5,2] => [4,1,1,1]
[1,3,5,2,4,6,7] => [3,4]
[1,3,5,2,4,7,6] => [3,3,1]
[1,3,5,2,6,4,7] => [3,2,2]
[1,3,5,2,6,7,4] => [3,3,1]
[1,3,5,2,7,4,6] => [3,2,2]
[1,3,5,2,7,6,4] => [3,2,1,1]
[1,3,5,4,2,6,7] => [3,1,3]
[1,3,5,4,2,7,6] => [3,1,2,1]
[1,3,5,4,6,2,7] => [3,2,2]
[1,3,5,4,6,7,2] => [3,3,1]
[1,3,5,4,7,2,6] => [3,2,2]
[1,3,5,4,7,6,2] => [3,2,1,1]
[1,3,5,6,2,4,7] => [4,3]
[1,3,5,6,2,7,4] => [4,2,1]
[1,3,5,6,4,2,7] => [4,1,2]
[1,3,5,6,4,7,2] => [4,2,1]
[1,3,5,6,7,2,4] => [5,2]
[1,3,5,6,7,4,2] => [5,1,1]
[1,3,5,7,2,4,6] => [4,3]
[1,3,5,7,2,6,4] => [4,2,1]
[1,3,5,7,4,2,6] => [4,1,2]
[1,3,5,7,4,6,2] => [4,2,1]
[1,3,5,7,6,2,4] => [4,1,2]
[1,3,5,7,6,4,2] => [4,1,1,1]
[1,3,6,2,4,5,7] => [3,4]
[1,3,6,2,4,7,5] => [3,3,1]
[1,3,6,2,5,4,7] => [3,2,2]
[1,3,6,2,5,7,4] => [3,3,1]
[1,3,6,2,7,4,5] => [3,2,2]
[1,3,6,2,7,5,4] => [3,2,1,1]
[1,3,6,4,2,5,7] => [3,1,3]
[1,3,6,4,2,7,5] => [3,1,2,1]
[1,3,6,4,5,2,7] => [3,2,2]
[1,3,6,4,5,7,2] => [3,3,1]
[1,3,6,4,7,2,5] => [3,2,2]
[1,3,6,4,7,5,2] => [3,2,1,1]
[1,3,6,5,2,4,7] => [3,1,3]
[1,3,6,5,2,7,4] => [3,1,2,1]
[1,3,6,5,4,2,7] => [3,1,1,2]
[1,3,6,5,4,7,2] => [3,1,2,1]
[1,3,6,5,7,2,4] => [3,2,2]
[1,3,6,5,7,4,2] => [3,2,1,1]
[1,3,6,7,2,4,5] => [4,3]
[1,3,6,7,2,5,4] => [4,2,1]
[1,3,6,7,4,2,5] => [4,1,2]
[1,3,6,7,4,5,2] => [4,2,1]
[1,3,6,7,5,2,4] => [4,1,2]
[1,3,6,7,5,4,2] => [4,1,1,1]
[1,3,7,2,4,5,6] => [3,4]
[1,3,7,2,4,6,5] => [3,3,1]
[1,3,7,2,5,4,6] => [3,2,2]
[1,3,7,2,5,6,4] => [3,3,1]
[1,3,7,2,6,4,5] => [3,2,2]
[1,3,7,2,6,5,4] => [3,2,1,1]
[1,3,7,4,2,5,6] => [3,1,3]
[1,3,7,4,2,6,5] => [3,1,2,1]
[1,3,7,4,5,2,6] => [3,2,2]
[1,3,7,4,5,6,2] => [3,3,1]
[1,3,7,4,6,2,5] => [3,2,2]
[1,3,7,4,6,5,2] => [3,2,1,1]
[1,3,7,5,2,4,6] => [3,1,3]
[1,3,7,5,2,6,4] => [3,1,2,1]
[1,3,7,5,4,2,6] => [3,1,1,2]
[1,3,7,5,4,6,2] => [3,1,2,1]
[1,3,7,5,6,2,4] => [3,2,2]
[1,3,7,5,6,4,2] => [3,2,1,1]
[1,3,7,6,2,4,5] => [3,1,3]
[1,3,7,6,2,5,4] => [3,1,2,1]
[1,3,7,6,4,2,5] => [3,1,1,2]
[1,3,7,6,4,5,2] => [3,1,2,1]
[1,3,7,6,5,2,4] => [3,1,1,2]
[1,3,7,6,5,4,2] => [3,1,1,1,1]
[1,4,2,3,5,6,7] => [2,5]
[1,4,2,3,5,7,6] => [2,4,1]
[1,4,2,3,6,5,7] => [2,3,2]
[1,4,2,3,6,7,5] => [2,4,1]
[1,4,2,3,7,5,6] => [2,3,2]
[1,4,2,3,7,6,5] => [2,3,1,1]
[1,4,2,5,3,6,7] => [2,2,3]
[1,4,2,5,3,7,6] => [2,2,2,1]
[1,4,2,5,6,3,7] => [2,3,2]
[1,4,2,5,6,7,3] => [2,4,1]
[1,4,2,5,7,3,6] => [2,3,2]
[1,4,2,5,7,6,3] => [2,3,1,1]
[1,4,2,6,3,5,7] => [2,2,3]
[1,4,2,6,3,7,5] => [2,2,2,1]
[1,4,2,6,5,3,7] => [2,2,1,2]
[1,4,2,6,5,7,3] => [2,2,2,1]
[1,4,2,6,7,3,5] => [2,3,2]
[1,4,2,6,7,5,3] => [2,3,1,1]
[1,4,2,7,3,5,6] => [2,2,3]
[1,4,2,7,3,6,5] => [2,2,2,1]
[1,4,2,7,5,3,6] => [2,2,1,2]
[1,4,2,7,5,6,3] => [2,2,2,1]
[1,4,2,7,6,3,5] => [2,2,1,2]
[1,4,2,7,6,5,3] => [2,2,1,1,1]
[1,4,3,2,5,6,7] => [2,1,4]
[1,4,3,2,5,7,6] => [2,1,3,1]
[1,4,3,2,6,5,7] => [2,1,2,2]
[1,4,3,2,6,7,5] => [2,1,3,1]
[1,4,3,2,7,5,6] => [2,1,2,2]
[1,4,3,2,7,6,5] => [2,1,2,1,1]
[1,4,3,5,2,6,7] => [2,2,3]
[1,4,3,5,2,7,6] => [2,2,2,1]
[1,4,3,5,6,2,7] => [2,3,2]
[1,4,3,5,6,7,2] => [2,4,1]
[1,4,3,5,7,2,6] => [2,3,2]
[1,4,3,5,7,6,2] => [2,3,1,1]
[1,4,3,6,2,5,7] => [2,2,3]
[1,4,3,6,2,7,5] => [2,2,2,1]
[1,4,3,6,5,2,7] => [2,2,1,2]
[1,4,3,6,5,7,2] => [2,2,2,1]
[1,4,3,6,7,2,5] => [2,3,2]
[1,4,3,6,7,5,2] => [2,3,1,1]
[1,4,3,7,2,5,6] => [2,2,3]
[1,4,3,7,2,6,5] => [2,2,2,1]
[1,4,3,7,5,2,6] => [2,2,1,2]
[1,4,3,7,5,6,2] => [2,2,2,1]
[1,4,3,7,6,2,5] => [2,2,1,2]
[1,4,3,7,6,5,2] => [2,2,1,1,1]
[1,4,5,2,3,6,7] => [3,4]
[1,4,5,2,3,7,6] => [3,3,1]
[1,4,5,2,6,3,7] => [3,2,2]
[1,4,5,2,6,7,3] => [3,3,1]
[1,4,5,2,7,3,6] => [3,2,2]
[1,4,5,2,7,6,3] => [3,2,1,1]
[1,4,5,3,2,6,7] => [3,1,3]
[1,4,5,3,2,7,6] => [3,1,2,1]
[1,4,5,3,6,2,7] => [3,2,2]
[1,4,5,3,6,7,2] => [3,3,1]
[1,4,5,3,7,2,6] => [3,2,2]
[1,4,5,3,7,6,2] => [3,2,1,1]
[1,4,5,6,2,3,7] => [4,3]
[1,4,5,6,2,7,3] => [4,2,1]
[1,4,5,6,3,2,7] => [4,1,2]
[1,4,5,6,3,7,2] => [4,2,1]
[1,4,5,6,7,2,3] => [5,2]
[1,4,5,6,7,3,2] => [5,1,1]
[1,4,5,7,2,3,6] => [4,3]
[1,4,5,7,2,6,3] => [4,2,1]
[1,4,5,7,3,2,6] => [4,1,2]
[1,4,5,7,3,6,2] => [4,2,1]
[1,4,5,7,6,2,3] => [4,1,2]
[1,4,5,7,6,3,2] => [4,1,1,1]
[1,4,6,2,3,5,7] => [3,4]
[1,4,6,2,3,7,5] => [3,3,1]
[1,4,6,2,5,3,7] => [3,2,2]
[1,4,6,2,5,7,3] => [3,3,1]
[1,4,6,2,7,3,5] => [3,2,2]
[1,4,6,2,7,5,3] => [3,2,1,1]
[1,4,6,3,2,5,7] => [3,1,3]
[1,4,6,3,2,7,5] => [3,1,2,1]
[1,4,6,3,5,2,7] => [3,2,2]
[1,4,6,3,5,7,2] => [3,3,1]
[1,4,6,3,7,2,5] => [3,2,2]
[1,4,6,3,7,5,2] => [3,2,1,1]
[1,4,6,5,2,3,7] => [3,1,3]
[1,4,6,5,2,7,3] => [3,1,2,1]
[1,4,6,5,3,2,7] => [3,1,1,2]
[1,4,6,5,3,7,2] => [3,1,2,1]
[1,4,6,5,7,2,3] => [3,2,2]
[1,4,6,5,7,3,2] => [3,2,1,1]
[1,4,6,7,2,3,5] => [4,3]
[1,4,6,7,2,5,3] => [4,2,1]
[1,4,6,7,3,2,5] => [4,1,2]
[1,4,6,7,3,5,2] => [4,2,1]
[1,4,6,7,5,2,3] => [4,1,2]
[1,4,6,7,5,3,2] => [4,1,1,1]
[1,4,7,2,3,5,6] => [3,4]
[1,4,7,2,3,6,5] => [3,3,1]
[1,4,7,2,5,3,6] => [3,2,2]
[1,4,7,2,5,6,3] => [3,3,1]
[1,4,7,2,6,3,5] => [3,2,2]
[1,4,7,2,6,5,3] => [3,2,1,1]
[1,4,7,3,2,5,6] => [3,1,3]
[1,4,7,3,2,6,5] => [3,1,2,1]
[1,4,7,3,5,2,6] => [3,2,2]
[1,4,7,3,5,6,2] => [3,3,1]
[1,4,7,3,6,2,5] => [3,2,2]
[1,4,7,3,6,5,2] => [3,2,1,1]
[1,4,7,5,2,3,6] => [3,1,3]
[1,4,7,5,2,6,3] => [3,1,2,1]
[1,4,7,5,3,2,6] => [3,1,1,2]
[1,4,7,5,3,6,2] => [3,1,2,1]
[1,4,7,5,6,2,3] => [3,2,2]
[1,4,7,5,6,3,2] => [3,2,1,1]
[1,4,7,6,2,3,5] => [3,1,3]
[1,4,7,6,2,5,3] => [3,1,2,1]
[1,4,7,6,3,2,5] => [3,1,1,2]
[1,4,7,6,3,5,2] => [3,1,2,1]
[1,4,7,6,5,2,3] => [3,1,1,2]
[1,4,7,6,5,3,2] => [3,1,1,1,1]
[1,5,2,3,4,6,7] => [2,5]
[1,5,2,3,4,7,6] => [2,4,1]
[1,5,2,3,6,4,7] => [2,3,2]
[1,5,2,3,6,7,4] => [2,4,1]
[1,5,2,3,7,4,6] => [2,3,2]
[1,5,2,3,7,6,4] => [2,3,1,1]
[1,5,2,4,3,6,7] => [2,2,3]
[1,5,2,4,3,7,6] => [2,2,2,1]
[1,5,2,4,6,3,7] => [2,3,2]
[1,5,2,4,6,7,3] => [2,4,1]
[1,5,2,4,7,3,6] => [2,3,2]
[1,5,2,4,7,6,3] => [2,3,1,1]
[1,5,2,6,3,4,7] => [2,2,3]
[1,5,2,6,3,7,4] => [2,2,2,1]
[1,5,2,6,4,3,7] => [2,2,1,2]
[1,5,2,6,4,7,3] => [2,2,2,1]
[1,5,2,6,7,3,4] => [2,3,2]
[1,5,2,6,7,4,3] => [2,3,1,1]
[1,5,2,7,3,4,6] => [2,2,3]
[1,5,2,7,3,6,4] => [2,2,2,1]
[1,5,2,7,4,3,6] => [2,2,1,2]
[1,5,2,7,4,6,3] => [2,2,2,1]
[1,5,2,7,6,3,4] => [2,2,1,2]
[1,5,2,7,6,4,3] => [2,2,1,1,1]
[1,5,3,2,4,6,7] => [2,1,4]
[1,5,3,2,4,7,6] => [2,1,3,1]
[1,5,3,2,6,4,7] => [2,1,2,2]
[1,5,3,2,6,7,4] => [2,1,3,1]
[1,5,3,2,7,4,6] => [2,1,2,2]
[1,5,3,2,7,6,4] => [2,1,2,1,1]
[1,5,3,4,2,6,7] => [2,2,3]
[1,5,3,4,2,7,6] => [2,2,2,1]
[1,5,3,4,6,2,7] => [2,3,2]
[1,5,3,4,6,7,2] => [2,4,1]
[1,5,3,4,7,2,6] => [2,3,2]
[1,5,3,4,7,6,2] => [2,3,1,1]
[1,5,3,6,2,4,7] => [2,2,3]
[1,5,3,6,2,7,4] => [2,2,2,1]
[1,5,3,6,4,2,7] => [2,2,1,2]
[1,5,3,6,4,7,2] => [2,2,2,1]
[1,5,3,6,7,2,4] => [2,3,2]
[1,5,3,6,7,4,2] => [2,3,1,1]
[1,5,3,7,2,4,6] => [2,2,3]
[1,5,3,7,2,6,4] => [2,2,2,1]
[1,5,3,7,4,2,6] => [2,2,1,2]
[1,5,3,7,4,6,2] => [2,2,2,1]
[1,5,3,7,6,2,4] => [2,2,1,2]
[1,5,3,7,6,4,2] => [2,2,1,1,1]
[1,5,4,2,3,6,7] => [2,1,4]
[1,5,4,2,3,7,6] => [2,1,3,1]
[1,5,4,2,6,3,7] => [2,1,2,2]
[1,5,4,2,6,7,3] => [2,1,3,1]
[1,5,4,2,7,3,6] => [2,1,2,2]
[1,5,4,2,7,6,3] => [2,1,2,1,1]
[1,5,4,3,2,6,7] => [2,1,1,3]
[1,5,4,3,2,7,6] => [2,1,1,2,1]
[1,5,4,3,6,2,7] => [2,1,2,2]
[1,5,4,3,6,7,2] => [2,1,3,1]
[1,5,4,3,7,2,6] => [2,1,2,2]
[1,5,4,3,7,6,2] => [2,1,2,1,1]
[1,5,4,6,2,3,7] => [2,2,3]
[1,5,4,6,2,7,3] => [2,2,2,1]
[1,5,4,6,3,2,7] => [2,2,1,2]
[1,5,4,6,3,7,2] => [2,2,2,1]
[1,5,4,6,7,2,3] => [2,3,2]
[1,5,4,6,7,3,2] => [2,3,1,1]
[1,5,4,7,2,3,6] => [2,2,3]
[1,5,4,7,2,6,3] => [2,2,2,1]
[1,5,4,7,3,2,6] => [2,2,1,2]
[1,5,4,7,3,6,2] => [2,2,2,1]
[1,5,4,7,6,2,3] => [2,2,1,2]
[1,5,4,7,6,3,2] => [2,2,1,1,1]
[1,5,6,2,3,4,7] => [3,4]
[1,5,6,2,3,7,4] => [3,3,1]
[1,5,6,2,4,3,7] => [3,2,2]
[1,5,6,2,4,7,3] => [3,3,1]
[1,5,6,2,7,3,4] => [3,2,2]
[1,5,6,2,7,4,3] => [3,2,1,1]
[1,5,6,3,2,4,7] => [3,1,3]
[1,5,6,3,2,7,4] => [3,1,2,1]
[1,5,6,3,4,2,7] => [3,2,2]
[1,5,6,3,4,7,2] => [3,3,1]
[1,5,6,3,7,2,4] => [3,2,2]
[1,5,6,3,7,4,2] => [3,2,1,1]
[1,5,6,4,2,3,7] => [3,1,3]
[1,5,6,4,2,7,3] => [3,1,2,1]
[1,5,6,4,3,2,7] => [3,1,1,2]
[1,5,6,4,3,7,2] => [3,1,2,1]
[1,5,6,4,7,2,3] => [3,2,2]
[1,5,6,4,7,3,2] => [3,2,1,1]
[1,5,6,7,2,3,4] => [4,3]
[1,5,6,7,2,4,3] => [4,2,1]
[1,5,6,7,3,2,4] => [4,1,2]
[1,5,6,7,3,4,2] => [4,2,1]
[1,5,6,7,4,2,3] => [4,1,2]
[1,5,6,7,4,3,2] => [4,1,1,1]
[1,5,7,2,3,4,6] => [3,4]
[1,5,7,2,3,6,4] => [3,3,1]
[1,5,7,2,4,3,6] => [3,2,2]
[1,5,7,2,4,6,3] => [3,3,1]
[1,5,7,2,6,3,4] => [3,2,2]
[1,5,7,2,6,4,3] => [3,2,1,1]
[1,5,7,3,2,4,6] => [3,1,3]
[1,5,7,3,2,6,4] => [3,1,2,1]
[1,5,7,3,4,2,6] => [3,2,2]
[1,5,7,3,4,6,2] => [3,3,1]
[1,5,7,3,6,2,4] => [3,2,2]
[1,5,7,3,6,4,2] => [3,2,1,1]
[1,5,7,4,2,3,6] => [3,1,3]
[1,5,7,4,2,6,3] => [3,1,2,1]
[1,5,7,4,3,2,6] => [3,1,1,2]
[1,5,7,4,3,6,2] => [3,1,2,1]
[1,5,7,4,6,2,3] => [3,2,2]
[1,5,7,4,6,3,2] => [3,2,1,1]
[1,5,7,6,2,3,4] => [3,1,3]
[1,5,7,6,2,4,3] => [3,1,2,1]
[1,5,7,6,3,2,4] => [3,1,1,2]
[1,5,7,6,3,4,2] => [3,1,2,1]
[1,5,7,6,4,2,3] => [3,1,1,2]
[1,5,7,6,4,3,2] => [3,1,1,1,1]
[1,6,2,3,4,5,7] => [2,5]
[1,6,2,3,4,7,5] => [2,4,1]
[1,6,2,3,5,4,7] => [2,3,2]
[1,6,2,3,5,7,4] => [2,4,1]
[1,6,2,3,7,4,5] => [2,3,2]
[1,6,2,3,7,5,4] => [2,3,1,1]
[1,6,2,4,3,5,7] => [2,2,3]
[1,6,2,4,3,7,5] => [2,2,2,1]
[1,6,2,4,5,3,7] => [2,3,2]
[1,6,2,4,5,7,3] => [2,4,1]
[1,6,2,4,7,3,5] => [2,3,2]
[1,6,2,4,7,5,3] => [2,3,1,1]
[1,6,2,5,3,4,7] => [2,2,3]
[1,6,2,5,3,7,4] => [2,2,2,1]
[1,6,2,5,4,3,7] => [2,2,1,2]
[1,6,2,5,4,7,3] => [2,2,2,1]
[1,6,2,5,7,3,4] => [2,3,2]
[1,6,2,5,7,4,3] => [2,3,1,1]
[1,6,2,7,3,4,5] => [2,2,3]
[1,6,2,7,3,5,4] => [2,2,2,1]
[1,6,2,7,4,3,5] => [2,2,1,2]
[1,6,2,7,4,5,3] => [2,2,2,1]
[1,6,2,7,5,3,4] => [2,2,1,2]
[1,6,2,7,5,4,3] => [2,2,1,1,1]
[1,6,3,2,4,5,7] => [2,1,4]
[1,6,3,2,4,7,5] => [2,1,3,1]
[1,6,3,2,5,4,7] => [2,1,2,2]
[1,6,3,2,5,7,4] => [2,1,3,1]
[1,6,3,2,7,4,5] => [2,1,2,2]
[1,6,3,2,7,5,4] => [2,1,2,1,1]
[1,6,3,4,2,5,7] => [2,2,3]
[1,6,3,4,2,7,5] => [2,2,2,1]
[1,6,3,4,5,2,7] => [2,3,2]
[1,6,3,4,5,7,2] => [2,4,1]
[1,6,3,4,7,2,5] => [2,3,2]
[1,6,3,4,7,5,2] => [2,3,1,1]
[1,6,3,5,2,4,7] => [2,2,3]
[1,6,3,5,2,7,4] => [2,2,2,1]
[1,6,3,5,4,2,7] => [2,2,1,2]
[1,6,3,5,4,7,2] => [2,2,2,1]
[1,6,3,5,7,2,4] => [2,3,2]
[1,6,3,5,7,4,2] => [2,3,1,1]
[1,6,3,7,2,4,5] => [2,2,3]
[1,6,3,7,2,5,4] => [2,2,2,1]
[1,6,3,7,4,2,5] => [2,2,1,2]
[1,6,3,7,4,5,2] => [2,2,2,1]
[1,6,3,7,5,2,4] => [2,2,1,2]
[1,6,3,7,5,4,2] => [2,2,1,1,1]
[1,6,4,2,3,5,7] => [2,1,4]
[1,6,4,2,3,7,5] => [2,1,3,1]
[1,6,4,2,5,3,7] => [2,1,2,2]
[1,6,4,2,5,7,3] => [2,1,3,1]
[1,6,4,2,7,3,5] => [2,1,2,2]
[1,6,4,2,7,5,3] => [2,1,2,1,1]
[1,6,4,3,2,5,7] => [2,1,1,3]
[1,6,4,3,2,7,5] => [2,1,1,2,1]
[1,6,4,3,5,2,7] => [2,1,2,2]
[1,6,4,3,5,7,2] => [2,1,3,1]
[1,6,4,3,7,2,5] => [2,1,2,2]
[1,6,4,3,7,5,2] => [2,1,2,1,1]
[1,6,4,5,2,3,7] => [2,2,3]
[1,6,4,5,2,7,3] => [2,2,2,1]
[1,6,4,5,3,2,7] => [2,2,1,2]
[1,6,4,5,3,7,2] => [2,2,2,1]
[1,6,4,5,7,2,3] => [2,3,2]
[1,6,4,5,7,3,2] => [2,3,1,1]
[1,6,4,7,2,3,5] => [2,2,3]
[1,6,4,7,2,5,3] => [2,2,2,1]
[1,6,4,7,3,2,5] => [2,2,1,2]
[1,6,4,7,3,5,2] => [2,2,2,1]
[1,6,4,7,5,2,3] => [2,2,1,2]
[1,6,4,7,5,3,2] => [2,2,1,1,1]
[1,6,5,2,3,4,7] => [2,1,4]
[1,6,5,2,3,7,4] => [2,1,3,1]
[1,6,5,2,4,3,7] => [2,1,2,2]
[1,6,5,2,4,7,3] => [2,1,3,1]
[1,6,5,2,7,3,4] => [2,1,2,2]
[1,6,5,2,7,4,3] => [2,1,2,1,1]
[1,6,5,3,2,4,7] => [2,1,1,3]
[1,6,5,3,2,7,4] => [2,1,1,2,1]
[1,6,5,3,4,2,7] => [2,1,2,2]
[1,6,5,3,4,7,2] => [2,1,3,1]
[1,6,5,3,7,2,4] => [2,1,2,2]
[1,6,5,3,7,4,2] => [2,1,2,1,1]
[1,6,5,4,2,3,7] => [2,1,1,3]
[1,6,5,4,2,7,3] => [2,1,1,2,1]
[1,6,5,4,3,2,7] => [2,1,1,1,2]
[1,6,5,4,3,7,2] => [2,1,1,2,1]
[1,6,5,4,7,2,3] => [2,1,2,2]
[1,6,5,4,7,3,2] => [2,1,2,1,1]
[1,6,5,7,2,3,4] => [2,2,3]
[1,6,5,7,2,4,3] => [2,2,2,1]
[1,6,5,7,3,2,4] => [2,2,1,2]
[1,6,5,7,3,4,2] => [2,2,2,1]
[1,6,5,7,4,2,3] => [2,2,1,2]
[1,6,5,7,4,3,2] => [2,2,1,1,1]
[1,6,7,2,3,4,5] => [3,4]
[1,6,7,2,3,5,4] => [3,3,1]
[1,6,7,2,4,3,5] => [3,2,2]
[1,6,7,2,4,5,3] => [3,3,1]
[1,6,7,2,5,3,4] => [3,2,2]
[1,6,7,2,5,4,3] => [3,2,1,1]
[1,6,7,3,2,4,5] => [3,1,3]
[1,6,7,3,2,5,4] => [3,1,2,1]
[1,6,7,3,4,2,5] => [3,2,2]
[1,6,7,3,4,5,2] => [3,3,1]
[1,6,7,3,5,2,4] => [3,2,2]
[1,6,7,3,5,4,2] => [3,2,1,1]
[1,6,7,4,2,3,5] => [3,1,3]
[1,6,7,4,2,5,3] => [3,1,2,1]
[1,6,7,4,3,2,5] => [3,1,1,2]
[1,6,7,4,3,5,2] => [3,1,2,1]
[1,6,7,4,5,2,3] => [3,2,2]
[1,6,7,4,5,3,2] => [3,2,1,1]
[1,6,7,5,2,3,4] => [3,1,3]
[1,6,7,5,2,4,3] => [3,1,2,1]
[1,6,7,5,3,2,4] => [3,1,1,2]
[1,6,7,5,3,4,2] => [3,1,2,1]
[1,6,7,5,4,2,3] => [3,1,1,2]
[1,6,7,5,4,3,2] => [3,1,1,1,1]
[1,7,2,3,4,5,6] => [2,5]
[1,7,2,3,4,6,5] => [2,4,1]
[1,7,2,3,5,4,6] => [2,3,2]
[1,7,2,3,5,6,4] => [2,4,1]
[1,7,2,3,6,4,5] => [2,3,2]
[1,7,2,3,6,5,4] => [2,3,1,1]
[1,7,2,4,3,5,6] => [2,2,3]
[1,7,2,4,3,6,5] => [2,2,2,1]
[1,7,2,4,5,3,6] => [2,3,2]
[1,7,2,4,5,6,3] => [2,4,1]
[1,7,2,4,6,3,5] => [2,3,2]
[1,7,2,4,6,5,3] => [2,3,1,1]
[1,7,2,5,3,4,6] => [2,2,3]
[1,7,2,5,3,6,4] => [2,2,2,1]
[1,7,2,5,4,3,6] => [2,2,1,2]
[1,7,2,5,4,6,3] => [2,2,2,1]
[1,7,2,5,6,3,4] => [2,3,2]
[1,7,2,5,6,4,3] => [2,3,1,1]
[1,7,2,6,3,4,5] => [2,2,3]
[1,7,2,6,3,5,4] => [2,2,2,1]
[1,7,2,6,4,3,5] => [2,2,1,2]
[1,7,2,6,4,5,3] => [2,2,2,1]
[1,7,2,6,5,3,4] => [2,2,1,2]
[1,7,2,6,5,4,3] => [2,2,1,1,1]
[1,7,3,2,4,5,6] => [2,1,4]
[1,7,3,2,4,6,5] => [2,1,3,1]
[1,7,3,2,5,4,6] => [2,1,2,2]
[1,7,3,2,5,6,4] => [2,1,3,1]
[1,7,3,2,6,4,5] => [2,1,2,2]
[1,7,3,2,6,5,4] => [2,1,2,1,1]
[1,7,3,4,2,5,6] => [2,2,3]
[1,7,3,4,2,6,5] => [2,2,2,1]
[1,7,3,4,5,2,6] => [2,3,2]
[1,7,3,4,5,6,2] => [2,4,1]
[1,7,3,4,6,2,5] => [2,3,2]
[1,7,3,4,6,5,2] => [2,3,1,1]
[1,7,3,5,2,4,6] => [2,2,3]
[1,7,3,5,2,6,4] => [2,2,2,1]
[1,7,3,5,4,2,6] => [2,2,1,2]
[1,7,3,5,4,6,2] => [2,2,2,1]
[1,7,3,5,6,2,4] => [2,3,2]
[1,7,3,5,6,4,2] => [2,3,1,1]
[1,7,3,6,2,4,5] => [2,2,3]
[1,7,3,6,2,5,4] => [2,2,2,1]
[1,7,3,6,4,2,5] => [2,2,1,2]
[1,7,3,6,4,5,2] => [2,2,2,1]
[1,7,3,6,5,2,4] => [2,2,1,2]
[1,7,3,6,5,4,2] => [2,2,1,1,1]
[1,7,4,2,3,5,6] => [2,1,4]
[1,7,4,2,3,6,5] => [2,1,3,1]
[1,7,4,2,5,3,6] => [2,1,2,2]
[1,7,4,2,5,6,3] => [2,1,3,1]
[1,7,4,2,6,3,5] => [2,1,2,2]
[1,7,4,2,6,5,3] => [2,1,2,1,1]
[1,7,4,3,2,5,6] => [2,1,1,3]
[1,7,4,3,2,6,5] => [2,1,1,2,1]
[1,7,4,3,5,2,6] => [2,1,2,2]
[1,7,4,3,5,6,2] => [2,1,3,1]
[1,7,4,3,6,2,5] => [2,1,2,2]
[1,7,4,3,6,5,2] => [2,1,2,1,1]
[1,7,4,5,2,3,6] => [2,2,3]
[1,7,4,5,2,6,3] => [2,2,2,1]
[1,7,4,5,3,2,6] => [2,2,1,2]
[1,7,4,5,3,6,2] => [2,2,2,1]
[1,7,4,5,6,2,3] => [2,3,2]
[1,7,4,5,6,3,2] => [2,3,1,1]
[1,7,4,6,2,3,5] => [2,2,3]
[1,7,4,6,2,5,3] => [2,2,2,1]
[1,7,4,6,3,2,5] => [2,2,1,2]
[1,7,4,6,3,5,2] => [2,2,2,1]
[1,7,4,6,5,2,3] => [2,2,1,2]
[1,7,4,6,5,3,2] => [2,2,1,1,1]
[1,7,5,2,3,4,6] => [2,1,4]
[1,7,5,2,3,6,4] => [2,1,3,1]
[1,7,5,2,4,3,6] => [2,1,2,2]
[1,7,5,2,4,6,3] => [2,1,3,1]
[1,7,5,2,6,3,4] => [2,1,2,2]
[1,7,5,2,6,4,3] => [2,1,2,1,1]
[1,7,5,3,2,4,6] => [2,1,1,3]
[1,7,5,3,2,6,4] => [2,1,1,2,1]
[1,7,5,3,4,2,6] => [2,1,2,2]
[1,7,5,3,4,6,2] => [2,1,3,1]
[1,7,5,3,6,2,4] => [2,1,2,2]
[1,7,5,3,6,4,2] => [2,1,2,1,1]
[1,7,5,4,2,3,6] => [2,1,1,3]
[1,7,5,4,2,6,3] => [2,1,1,2,1]
[1,7,5,4,3,2,6] => [2,1,1,1,2]
[1,7,5,4,3,6,2] => [2,1,1,2,1]
[1,7,5,4,6,2,3] => [2,1,2,2]
[1,7,5,4,6,3,2] => [2,1,2,1,1]
[1,7,5,6,2,3,4] => [2,2,3]
[1,7,5,6,2,4,3] => [2,2,2,1]
[1,7,5,6,3,2,4] => [2,2,1,2]
[1,7,5,6,3,4,2] => [2,2,2,1]
[1,7,5,6,4,2,3] => [2,2,1,2]
[1,7,5,6,4,3,2] => [2,2,1,1,1]
[1,7,6,2,3,4,5] => [2,1,4]
[1,7,6,2,3,5,4] => [2,1,3,1]
[1,7,6,2,4,3,5] => [2,1,2,2]
[1,7,6,2,4,5,3] => [2,1,3,1]
[1,7,6,2,5,3,4] => [2,1,2,2]
[1,7,6,2,5,4,3] => [2,1,2,1,1]
[1,7,6,3,2,4,5] => [2,1,1,3]
[1,7,6,3,2,5,4] => [2,1,1,2,1]
[1,7,6,3,4,2,5] => [2,1,2,2]
[1,7,6,3,4,5,2] => [2,1,3,1]
[1,7,6,3,5,2,4] => [2,1,2,2]
[1,7,6,3,5,4,2] => [2,1,2,1,1]
[1,7,6,4,2,3,5] => [2,1,1,3]
[1,7,6,4,2,5,3] => [2,1,1,2,1]
[1,7,6,4,3,2,5] => [2,1,1,1,2]
[1,7,6,4,3,5,2] => [2,1,1,2,1]
[1,7,6,4,5,2,3] => [2,1,2,2]
[1,7,6,4,5,3,2] => [2,1,2,1,1]
[1,7,6,5,2,3,4] => [2,1,1,3]
[1,7,6,5,2,4,3] => [2,1,1,2,1]
[1,7,6,5,3,2,4] => [2,1,1,1,2]
[1,7,6,5,3,4,2] => [2,1,1,2,1]
[1,7,6,5,4,2,3] => [2,1,1,1,2]
[1,7,6,5,4,3,2] => [2,1,1,1,1,1]
[2,1,3,4,5,6,7] => [1,6]
[2,1,3,4,5,7,6] => [1,5,1]
[2,1,3,4,6,5,7] => [1,4,2]
[2,1,3,4,6,7,5] => [1,5,1]
[2,1,3,4,7,5,6] => [1,4,2]
[2,1,3,4,7,6,5] => [1,4,1,1]
[2,1,3,5,4,6,7] => [1,3,3]
[2,1,3,5,4,7,6] => [1,3,2,1]
[2,1,3,5,6,4,7] => [1,4,2]
[2,1,3,5,6,7,4] => [1,5,1]
[2,1,3,5,7,4,6] => [1,4,2]
[2,1,3,5,7,6,4] => [1,4,1,1]
[2,1,3,6,4,5,7] => [1,3,3]
[2,1,3,6,4,7,5] => [1,3,2,1]
[2,1,3,6,5,4,7] => [1,3,1,2]
[2,1,3,6,5,7,4] => [1,3,2,1]
[2,1,3,6,7,4,5] => [1,4,2]
[2,1,3,6,7,5,4] => [1,4,1,1]
[2,1,3,7,4,5,6] => [1,3,3]
[2,1,3,7,4,6,5] => [1,3,2,1]
[2,1,3,7,5,4,6] => [1,3,1,2]
[2,1,3,7,5,6,4] => [1,3,2,1]
[2,1,3,7,6,4,5] => [1,3,1,2]
[2,1,3,7,6,5,4] => [1,3,1,1,1]
[2,1,4,3,5,6,7] => [1,2,4]
[2,1,4,3,5,7,6] => [1,2,3,1]
[2,1,4,3,6,5,7] => [1,2,2,2]
[2,1,4,3,6,7,5] => [1,2,3,1]
[2,1,4,3,7,5,6] => [1,2,2,2]
[2,1,4,3,7,6,5] => [1,2,2,1,1]
[2,1,4,5,3,6,7] => [1,3,3]
[2,1,4,5,3,7,6] => [1,3,2,1]
[2,1,4,5,6,3,7] => [1,4,2]
[2,1,4,5,6,7,3] => [1,5,1]
[2,1,4,5,7,3,6] => [1,4,2]
[2,1,4,5,7,6,3] => [1,4,1,1]
[2,1,4,6,3,5,7] => [1,3,3]
[2,1,4,6,3,7,5] => [1,3,2,1]
[2,1,4,6,5,3,7] => [1,3,1,2]
[2,1,4,6,5,7,3] => [1,3,2,1]
[2,1,4,6,7,3,5] => [1,4,2]
[2,1,4,6,7,5,3] => [1,4,1,1]
[2,1,4,7,3,5,6] => [1,3,3]
[2,1,4,7,3,6,5] => [1,3,2,1]
[2,1,4,7,5,3,6] => [1,3,1,2]
[2,1,4,7,5,6,3] => [1,3,2,1]
[2,1,4,7,6,3,5] => [1,3,1,2]
[2,1,4,7,6,5,3] => [1,3,1,1,1]
[2,1,5,3,4,6,7] => [1,2,4]
[2,1,5,3,4,7,6] => [1,2,3,1]
[2,1,5,3,6,4,7] => [1,2,2,2]
[2,1,5,3,6,7,4] => [1,2,3,1]
[2,1,5,3,7,4,6] => [1,2,2,2]
[2,1,5,3,7,6,4] => [1,2,2,1,1]
[2,1,5,4,3,6,7] => [1,2,1,3]
[2,1,5,4,3,7,6] => [1,2,1,2,1]
[2,1,5,4,6,3,7] => [1,2,2,2]
[2,1,5,4,6,7,3] => [1,2,3,1]
[2,1,5,4,7,3,6] => [1,2,2,2]
[2,1,5,4,7,6,3] => [1,2,2,1,1]
[2,1,5,6,3,4,7] => [1,3,3]
[2,1,5,6,3,7,4] => [1,3,2,1]
[2,1,5,6,4,3,7] => [1,3,1,2]
[2,1,5,6,4,7,3] => [1,3,2,1]
[2,1,5,6,7,3,4] => [1,4,2]
[2,1,5,6,7,4,3] => [1,4,1,1]
[2,1,5,7,3,4,6] => [1,3,3]
[2,1,5,7,3,6,4] => [1,3,2,1]
[2,1,5,7,4,3,6] => [1,3,1,2]
[2,1,5,7,4,6,3] => [1,3,2,1]
[2,1,5,7,6,3,4] => [1,3,1,2]
[2,1,5,7,6,4,3] => [1,3,1,1,1]
[2,1,6,3,4,5,7] => [1,2,4]
[2,1,6,3,4,7,5] => [1,2,3,1]
[2,1,6,3,5,4,7] => [1,2,2,2]
[2,1,6,3,5,7,4] => [1,2,3,1]
[2,1,6,3,7,4,5] => [1,2,2,2]
[2,1,6,3,7,5,4] => [1,2,2,1,1]
[2,1,6,4,3,5,7] => [1,2,1,3]
[2,1,6,4,3,7,5] => [1,2,1,2,1]
[2,1,6,4,5,3,7] => [1,2,2,2]
[2,1,6,4,5,7,3] => [1,2,3,1]
[2,1,6,4,7,3,5] => [1,2,2,2]
[2,1,6,4,7,5,3] => [1,2,2,1,1]
[2,1,6,5,3,4,7] => [1,2,1,3]
[2,1,6,5,3,7,4] => [1,2,1,2,1]
[2,1,6,5,4,3,7] => [1,2,1,1,2]
[2,1,6,5,4,7,3] => [1,2,1,2,1]
[2,1,6,5,7,3,4] => [1,2,2,2]
[2,1,6,5,7,4,3] => [1,2,2,1,1]
[2,1,6,7,3,4,5] => [1,3,3]
[2,1,6,7,3,5,4] => [1,3,2,1]
[2,1,6,7,4,3,5] => [1,3,1,2]
[2,1,6,7,4,5,3] => [1,3,2,1]
[2,1,6,7,5,3,4] => [1,3,1,2]
[2,1,6,7,5,4,3] => [1,3,1,1,1]
[2,1,7,3,4,5,6] => [1,2,4]
[2,1,7,3,4,6,5] => [1,2,3,1]
[2,1,7,3,5,4,6] => [1,2,2,2]
[2,1,7,3,5,6,4] => [1,2,3,1]
[2,1,7,3,6,4,5] => [1,2,2,2]
[2,1,7,3,6,5,4] => [1,2,2,1,1]
[2,1,7,4,3,5,6] => [1,2,1,3]
[2,1,7,4,3,6,5] => [1,2,1,2,1]
[2,1,7,4,5,3,6] => [1,2,2,2]
[2,1,7,4,5,6,3] => [1,2,3,1]
[2,1,7,4,6,3,5] => [1,2,2,2]
[2,1,7,4,6,5,3] => [1,2,2,1,1]
[2,1,7,5,3,4,6] => [1,2,1,3]
[2,1,7,5,3,6,4] => [1,2,1,2,1]
[2,1,7,5,4,3,6] => [1,2,1,1,2]
[2,1,7,5,4,6,3] => [1,2,1,2,1]
[2,1,7,5,6,3,4] => [1,2,2,2]
[2,1,7,5,6,4,3] => [1,2,2,1,1]
[2,1,7,6,3,4,5] => [1,2,1,3]
[2,1,7,6,3,5,4] => [1,2,1,2,1]
[2,1,7,6,4,3,5] => [1,2,1,1,2]
[2,1,7,6,4,5,3] => [1,2,1,2,1]
[2,1,7,6,5,3,4] => [1,2,1,1,2]
[2,1,7,6,5,4,3] => [1,2,1,1,1,1]
[2,3,1,4,5,6,7] => [2,5]
[2,3,1,4,5,7,6] => [2,4,1]
[2,3,1,4,6,5,7] => [2,3,2]
[2,3,1,4,6,7,5] => [2,4,1]
[2,3,1,4,7,5,6] => [2,3,2]
[2,3,1,4,7,6,5] => [2,3,1,1]
[2,3,1,5,4,6,7] => [2,2,3]
[2,3,1,5,4,7,6] => [2,2,2,1]
[2,3,1,5,6,4,7] => [2,3,2]
[2,3,1,5,6,7,4] => [2,4,1]
[2,3,1,5,7,4,6] => [2,3,2]
[2,3,1,5,7,6,4] => [2,3,1,1]
[2,3,1,6,4,5,7] => [2,2,3]
[2,3,1,6,4,7,5] => [2,2,2,1]
[2,3,1,6,5,4,7] => [2,2,1,2]
[2,3,1,6,5,7,4] => [2,2,2,1]
[2,3,1,6,7,4,5] => [2,3,2]
[2,3,1,6,7,5,4] => [2,3,1,1]
[2,3,1,7,4,5,6] => [2,2,3]
[2,3,1,7,4,6,5] => [2,2,2,1]
[2,3,1,7,5,4,6] => [2,2,1,2]
[2,3,1,7,5,6,4] => [2,2,2,1]
[2,3,1,7,6,4,5] => [2,2,1,2]
[2,3,1,7,6,5,4] => [2,2,1,1,1]
[2,3,4,1,5,6,7] => [3,4]
[2,3,4,1,5,7,6] => [3,3,1]
[2,3,4,1,6,5,7] => [3,2,2]
[2,3,4,1,6,7,5] => [3,3,1]
[2,3,4,1,7,5,6] => [3,2,2]
[2,3,4,1,7,6,5] => [3,2,1,1]
[2,3,4,5,1,6,7] => [4,3]
[2,3,4,5,1,7,6] => [4,2,1]
[2,3,4,5,6,1,7] => [5,2]
[2,3,4,5,6,7,1] => [6,1]
[2,3,4,5,7,1,6] => [5,2]
[2,3,4,5,7,6,1] => [5,1,1]
[2,3,4,6,1,5,7] => [4,3]
[2,3,4,6,1,7,5] => [4,2,1]
[2,3,4,6,5,1,7] => [4,1,2]
[2,3,4,6,5,7,1] => [4,2,1]
[2,3,4,6,7,1,5] => [5,2]
[2,3,4,6,7,5,1] => [5,1,1]
[2,3,4,7,1,5,6] => [4,3]
[2,3,4,7,1,6,5] => [4,2,1]
[2,3,4,7,5,1,6] => [4,1,2]
[2,3,4,7,5,6,1] => [4,2,1]
[2,3,4,7,6,1,5] => [4,1,2]
[2,3,4,7,6,5,1] => [4,1,1,1]
[2,3,5,1,4,6,7] => [3,4]
[2,3,5,1,4,7,6] => [3,3,1]
[2,3,5,1,6,4,7] => [3,2,2]
[2,3,5,1,6,7,4] => [3,3,1]
[2,3,5,1,7,4,6] => [3,2,2]
[2,3,5,1,7,6,4] => [3,2,1,1]
[2,3,5,4,1,6,7] => [3,1,3]
[2,3,5,4,1,7,6] => [3,1,2,1]
[2,3,5,4,6,1,7] => [3,2,2]
[2,3,5,4,6,7,1] => [3,3,1]
[2,3,5,4,7,1,6] => [3,2,2]
[2,3,5,4,7,6,1] => [3,2,1,1]
[2,3,5,6,1,4,7] => [4,3]
[2,3,5,6,1,7,4] => [4,2,1]
[2,3,5,6,4,1,7] => [4,1,2]
[2,3,5,6,4,7,1] => [4,2,1]
[2,3,5,6,7,1,4] => [5,2]
[2,3,5,6,7,4,1] => [5,1,1]
[2,3,5,7,1,4,6] => [4,3]
[2,3,5,7,1,6,4] => [4,2,1]
[2,3,5,7,4,1,6] => [4,1,2]
[2,3,5,7,4,6,1] => [4,2,1]
[2,3,5,7,6,1,4] => [4,1,2]
[2,3,5,7,6,4,1] => [4,1,1,1]
[2,3,6,1,4,5,7] => [3,4]
[2,3,6,1,4,7,5] => [3,3,1]
[2,3,6,1,5,4,7] => [3,2,2]
[2,3,6,1,5,7,4] => [3,3,1]
[2,3,6,1,7,4,5] => [3,2,2]
[2,3,6,1,7,5,4] => [3,2,1,1]
[2,3,6,4,1,5,7] => [3,1,3]
[2,3,6,4,1,7,5] => [3,1,2,1]
[2,3,6,4,5,1,7] => [3,2,2]
[2,3,6,4,5,7,1] => [3,3,1]
[2,3,6,4,7,1,5] => [3,2,2]
[2,3,6,4,7,5,1] => [3,2,1,1]
[2,3,6,5,1,4,7] => [3,1,3]
[2,3,6,5,1,7,4] => [3,1,2,1]
[2,3,6,5,4,1,7] => [3,1,1,2]
[2,3,6,5,4,7,1] => [3,1,2,1]
[2,3,6,5,7,1,4] => [3,2,2]
[2,3,6,5,7,4,1] => [3,2,1,1]
[2,3,6,7,1,4,5] => [4,3]
[2,3,6,7,1,5,4] => [4,2,1]
[2,3,6,7,4,1,5] => [4,1,2]
[2,3,6,7,4,5,1] => [4,2,1]
[2,3,6,7,5,1,4] => [4,1,2]
[2,3,6,7,5,4,1] => [4,1,1,1]
[2,3,7,1,4,5,6] => [3,4]
[2,3,7,1,4,6,5] => [3,3,1]
[2,3,7,1,5,4,6] => [3,2,2]
[2,3,7,1,5,6,4] => [3,3,1]
[2,3,7,1,6,4,5] => [3,2,2]
[2,3,7,1,6,5,4] => [3,2,1,1]
[2,3,7,4,1,5,6] => [3,1,3]
[2,3,7,4,1,6,5] => [3,1,2,1]
[2,3,7,4,5,1,6] => [3,2,2]
[2,3,7,4,5,6,1] => [3,3,1]
[2,3,7,4,6,1,5] => [3,2,2]
[2,3,7,4,6,5,1] => [3,2,1,1]
[2,3,7,5,1,4,6] => [3,1,3]
[2,3,7,5,1,6,4] => [3,1,2,1]
[2,3,7,5,4,1,6] => [3,1,1,2]
[2,3,7,5,4,6,1] => [3,1,2,1]
[2,3,7,5,6,1,4] => [3,2,2]
[2,3,7,5,6,4,1] => [3,2,1,1]
[2,3,7,6,1,4,5] => [3,1,3]
[2,3,7,6,1,5,4] => [3,1,2,1]
[2,3,7,6,4,1,5] => [3,1,1,2]
[2,3,7,6,4,5,1] => [3,1,2,1]
[2,3,7,6,5,1,4] => [3,1,1,2]
[2,3,7,6,5,4,1] => [3,1,1,1,1]
[2,4,1,3,5,6,7] => [2,5]
[2,4,1,3,5,7,6] => [2,4,1]
[2,4,1,3,6,5,7] => [2,3,2]
[2,4,1,3,6,7,5] => [2,4,1]
[2,4,1,3,7,5,6] => [2,3,2]
[2,4,1,3,7,6,5] => [2,3,1,1]
[2,4,1,5,3,6,7] => [2,2,3]
[2,4,1,5,3,7,6] => [2,2,2,1]
[2,4,1,5,6,3,7] => [2,3,2]
[2,4,1,5,6,7,3] => [2,4,1]
[2,4,1,5,7,3,6] => [2,3,2]
[2,4,1,5,7,6,3] => [2,3,1,1]
[2,4,1,6,3,5,7] => [2,2,3]
[2,4,1,6,3,7,5] => [2,2,2,1]
[2,4,1,6,5,3,7] => [2,2,1,2]
[2,4,1,6,5,7,3] => [2,2,2,1]
[2,4,1,6,7,3,5] => [2,3,2]
[2,4,1,6,7,5,3] => [2,3,1,1]
[2,4,1,7,3,5,6] => [2,2,3]
[2,4,1,7,3,6,5] => [2,2,2,1]
[2,4,1,7,5,3,6] => [2,2,1,2]
[2,4,1,7,5,6,3] => [2,2,2,1]
[2,4,1,7,6,3,5] => [2,2,1,2]
[2,4,1,7,6,5,3] => [2,2,1,1,1]
[2,4,3,1,5,6,7] => [2,1,4]
[2,4,3,1,5,7,6] => [2,1,3,1]
[2,4,3,1,6,5,7] => [2,1,2,2]
[2,4,3,1,6,7,5] => [2,1,3,1]
[2,4,3,1,7,5,6] => [2,1,2,2]
[2,4,3,1,7,6,5] => [2,1,2,1,1]
[2,4,3,5,1,6,7] => [2,2,3]
[2,4,3,5,1,7,6] => [2,2,2,1]
[2,4,3,5,6,1,7] => [2,3,2]
[2,4,3,5,6,7,1] => [2,4,1]
[2,4,3,5,7,1,6] => [2,3,2]
[2,4,3,5,7,6,1] => [2,3,1,1]
[2,4,3,6,1,5,7] => [2,2,3]
[2,4,3,6,1,7,5] => [2,2,2,1]
[2,4,3,6,5,1,7] => [2,2,1,2]
[2,4,3,6,5,7,1] => [2,2,2,1]
[2,4,3,6,7,1,5] => [2,3,2]
[2,4,3,6,7,5,1] => [2,3,1,1]
[2,4,3,7,1,5,6] => [2,2,3]
[2,4,3,7,1,6,5] => [2,2,2,1]
[2,4,3,7,5,1,6] => [2,2,1,2]
[2,4,3,7,5,6,1] => [2,2,2,1]
[2,4,3,7,6,1,5] => [2,2,1,2]
[2,4,3,7,6,5,1] => [2,2,1,1,1]
[2,4,5,1,3,6,7] => [3,4]
[2,4,5,1,3,7,6] => [3,3,1]
[2,4,5,1,6,3,7] => [3,2,2]
[2,4,5,1,6,7,3] => [3,3,1]
[2,4,5,1,7,3,6] => [3,2,2]
[2,4,5,1,7,6,3] => [3,2,1,1]
[2,4,5,3,1,6,7] => [3,1,3]
[2,4,5,3,1,7,6] => [3,1,2,1]
[2,4,5,3,6,1,7] => [3,2,2]
[2,4,5,3,6,7,1] => [3,3,1]
[2,4,5,3,7,1,6] => [3,2,2]
[2,4,5,3,7,6,1] => [3,2,1,1]
[2,4,5,6,1,3,7] => [4,3]
[2,4,5,6,1,7,3] => [4,2,1]
[2,4,5,6,3,1,7] => [4,1,2]
[2,4,5,6,3,7,1] => [4,2,1]
[2,4,5,6,7,1,3] => [5,2]
[2,4,5,6,7,3,1] => [5,1,1]
[2,4,5,7,1,3,6] => [4,3]
[2,4,5,7,1,6,3] => [4,2,1]
[2,4,5,7,3,1,6] => [4,1,2]
[2,4,5,7,3,6,1] => [4,2,1]
[2,4,5,7,6,1,3] => [4,1,2]
[2,4,5,7,6,3,1] => [4,1,1,1]
[2,4,6,1,3,5,7] => [3,4]
[2,4,6,1,3,7,5] => [3,3,1]
[2,4,6,1,5,3,7] => [3,2,2]
[2,4,6,1,5,7,3] => [3,3,1]
[2,4,6,1,7,3,5] => [3,2,2]
[2,4,6,1,7,5,3] => [3,2,1,1]
[2,4,6,3,1,5,7] => [3,1,3]
[2,4,6,3,1,7,5] => [3,1,2,1]
[2,4,6,3,5,1,7] => [3,2,2]
[2,4,6,3,5,7,1] => [3,3,1]
[2,4,6,3,7,1,5] => [3,2,2]
[2,4,6,3,7,5,1] => [3,2,1,1]
[2,4,6,5,1,3,7] => [3,1,3]
[2,4,6,5,1,7,3] => [3,1,2,1]
[2,4,6,5,3,1,7] => [3,1,1,2]
[2,4,6,5,3,7,1] => [3,1,2,1]
[2,4,6,5,7,1,3] => [3,2,2]
[2,4,6,5,7,3,1] => [3,2,1,1]
[2,4,6,7,1,3,5] => [4,3]
[2,4,6,7,1,5,3] => [4,2,1]
[2,4,6,7,3,1,5] => [4,1,2]
[2,4,6,7,3,5,1] => [4,2,1]
[2,4,6,7,5,1,3] => [4,1,2]
[2,4,6,7,5,3,1] => [4,1,1,1]
[2,4,7,1,3,5,6] => [3,4]
[2,4,7,1,3,6,5] => [3,3,1]
[2,4,7,1,5,3,6] => [3,2,2]
[2,4,7,1,5,6,3] => [3,3,1]
[2,4,7,1,6,3,5] => [3,2,2]
[2,4,7,1,6,5,3] => [3,2,1,1]
[2,4,7,3,1,5,6] => [3,1,3]
[2,4,7,3,1,6,5] => [3,1,2,1]
[2,4,7,3,5,1,6] => [3,2,2]
[2,4,7,3,5,6,1] => [3,3,1]
[2,4,7,3,6,1,5] => [3,2,2]
[2,4,7,3,6,5,1] => [3,2,1,1]
[2,4,7,5,1,3,6] => [3,1,3]
[2,4,7,5,1,6,3] => [3,1,2,1]
[2,4,7,5,3,1,6] => [3,1,1,2]
[2,4,7,5,3,6,1] => [3,1,2,1]
[2,4,7,5,6,1,3] => [3,2,2]
[2,4,7,5,6,3,1] => [3,2,1,1]
[2,4,7,6,1,3,5] => [3,1,3]
[2,4,7,6,1,5,3] => [3,1,2,1]
[2,4,7,6,3,1,5] => [3,1,1,2]
[2,4,7,6,3,5,1] => [3,1,2,1]
[2,4,7,6,5,1,3] => [3,1,1,2]
[2,4,7,6,5,3,1] => [3,1,1,1,1]
[2,5,1,3,4,6,7] => [2,5]
[2,5,1,3,4,7,6] => [2,4,1]
[2,5,1,3,6,4,7] => [2,3,2]
[2,5,1,3,6,7,4] => [2,4,1]
[2,5,1,3,7,4,6] => [2,3,2]
[2,5,1,3,7,6,4] => [2,3,1,1]
[2,5,1,4,3,6,7] => [2,2,3]
[2,5,1,4,3,7,6] => [2,2,2,1]
[2,5,1,4,6,3,7] => [2,3,2]
[2,5,1,4,6,7,3] => [2,4,1]
[2,5,1,4,7,3,6] => [2,3,2]
[2,5,1,4,7,6,3] => [2,3,1,1]
[2,5,1,6,3,4,7] => [2,2,3]
[2,5,1,6,3,7,4] => [2,2,2,1]
[2,5,1,6,4,3,7] => [2,2,1,2]
[2,5,1,6,4,7,3] => [2,2,2,1]
[2,5,1,6,7,3,4] => [2,3,2]
[2,5,1,6,7,4,3] => [2,3,1,1]
[2,5,1,7,3,4,6] => [2,2,3]
[2,5,1,7,3,6,4] => [2,2,2,1]
[2,5,1,7,4,3,6] => [2,2,1,2]
[2,5,1,7,4,6,3] => [2,2,2,1]
[2,5,1,7,6,3,4] => [2,2,1,2]
[2,5,1,7,6,4,3] => [2,2,1,1,1]
[2,5,3,1,4,6,7] => [2,1,4]
[2,5,3,1,4,7,6] => [2,1,3,1]
[2,5,3,1,6,4,7] => [2,1,2,2]
[2,5,3,1,6,7,4] => [2,1,3,1]
[2,5,3,1,7,4,6] => [2,1,2,2]
[2,5,3,1,7,6,4] => [2,1,2,1,1]
[2,5,3,4,1,6,7] => [2,2,3]
[2,5,3,4,1,7,6] => [2,2,2,1]
[2,5,3,4,6,1,7] => [2,3,2]
[2,5,3,4,6,7,1] => [2,4,1]
[2,5,3,4,7,1,6] => [2,3,2]
[2,5,3,4,7,6,1] => [2,3,1,1]
[2,5,3,6,1,4,7] => [2,2,3]
[2,5,3,6,1,7,4] => [2,2,2,1]
[2,5,3,6,4,1,7] => [2,2,1,2]
[2,5,3,6,4,7,1] => [2,2,2,1]
[2,5,3,6,7,1,4] => [2,3,2]
[2,5,3,6,7,4,1] => [2,3,1,1]
[2,5,3,7,1,4,6] => [2,2,3]
[2,5,3,7,1,6,4] => [2,2,2,1]
[2,5,3,7,4,1,6] => [2,2,1,2]
[2,5,3,7,4,6,1] => [2,2,2,1]
[2,5,3,7,6,1,4] => [2,2,1,2]
[2,5,3,7,6,4,1] => [2,2,1,1,1]
[2,5,4,1,3,6,7] => [2,1,4]
[2,5,4,1,3,7,6] => [2,1,3,1]
[2,5,4,1,6,3,7] => [2,1,2,2]
[2,5,4,1,6,7,3] => [2,1,3,1]
[2,5,4,1,7,3,6] => [2,1,2,2]
[2,5,4,1,7,6,3] => [2,1,2,1,1]
[2,5,4,3,1,6,7] => [2,1,1,3]
[2,5,4,3,1,7,6] => [2,1,1,2,1]
[2,5,4,3,6,1,7] => [2,1,2,2]
[2,5,4,3,6,7,1] => [2,1,3,1]
[2,5,4,3,7,1,6] => [2,1,2,2]
[2,5,4,3,7,6,1] => [2,1,2,1,1]
[2,5,4,6,1,3,7] => [2,2,3]
[2,5,4,6,1,7,3] => [2,2,2,1]
[2,5,4,6,3,1,7] => [2,2,1,2]
[2,5,4,6,3,7,1] => [2,2,2,1]
[2,5,4,6,7,1,3] => [2,3,2]
[2,5,4,6,7,3,1] => [2,3,1,1]
[2,5,4,7,1,3,6] => [2,2,3]
[2,5,4,7,1,6,3] => [2,2,2,1]
[2,5,4,7,3,1,6] => [2,2,1,2]
[2,5,4,7,3,6,1] => [2,2,2,1]
[2,5,4,7,6,1,3] => [2,2,1,2]
[2,5,4,7,6,3,1] => [2,2,1,1,1]
[2,5,6,1,3,4,7] => [3,4]
[2,5,6,1,3,7,4] => [3,3,1]
[2,5,6,1,4,3,7] => [3,2,2]
[2,5,6,1,4,7,3] => [3,3,1]
[2,5,6,1,7,3,4] => [3,2,2]
[2,5,6,1,7,4,3] => [3,2,1,1]
[2,5,6,3,1,4,7] => [3,1,3]
[2,5,6,3,1,7,4] => [3,1,2,1]
[2,5,6,3,4,1,7] => [3,2,2]
[2,5,6,3,4,7,1] => [3,3,1]
[2,5,6,3,7,1,4] => [3,2,2]
[2,5,6,3,7,4,1] => [3,2,1,1]
[2,5,6,4,1,3,7] => [3,1,3]
[2,5,6,4,1,7,3] => [3,1,2,1]
[2,5,6,4,3,1,7] => [3,1,1,2]
[2,5,6,4,3,7,1] => [3,1,2,1]
[2,5,6,4,7,1,3] => [3,2,2]
[2,5,6,4,7,3,1] => [3,2,1,1]
[2,5,6,7,1,3,4] => [4,3]
[2,5,6,7,1,4,3] => [4,2,1]
[2,5,6,7,3,1,4] => [4,1,2]
[2,5,6,7,3,4,1] => [4,2,1]
[2,5,6,7,4,1,3] => [4,1,2]
[2,5,6,7,4,3,1] => [4,1,1,1]
[2,5,7,1,3,4,6] => [3,4]
[2,5,7,1,3,6,4] => [3,3,1]
[2,5,7,1,4,3,6] => [3,2,2]
[2,5,7,1,4,6,3] => [3,3,1]
[2,5,7,1,6,3,4] => [3,2,2]
[2,5,7,1,6,4,3] => [3,2,1,1]
[2,5,7,3,1,4,6] => [3,1,3]
[2,5,7,3,1,6,4] => [3,1,2,1]
[2,5,7,3,4,1,6] => [3,2,2]
[2,5,7,3,4,6,1] => [3,3,1]
[2,5,7,3,6,1,4] => [3,2,2]
[2,5,7,3,6,4,1] => [3,2,1,1]
[2,5,7,4,1,3,6] => [3,1,3]
[2,5,7,4,1,6,3] => [3,1,2,1]
[2,5,7,4,3,1,6] => [3,1,1,2]
[2,5,7,4,3,6,1] => [3,1,2,1]
[2,5,7,4,6,1,3] => [3,2,2]
[2,5,7,4,6,3,1] => [3,2,1,1]
[2,5,7,6,1,3,4] => [3,1,3]
[2,5,7,6,1,4,3] => [3,1,2,1]
[2,5,7,6,3,1,4] => [3,1,1,2]
[2,5,7,6,3,4,1] => [3,1,2,1]
[2,5,7,6,4,1,3] => [3,1,1,2]
[2,5,7,6,4,3,1] => [3,1,1,1,1]
[2,6,1,3,4,5,7] => [2,5]
[2,6,1,3,4,7,5] => [2,4,1]
[2,6,1,3,5,4,7] => [2,3,2]
[2,6,1,3,5,7,4] => [2,4,1]
[2,6,1,3,7,4,5] => [2,3,2]
[2,6,1,3,7,5,4] => [2,3,1,1]
[2,6,1,4,3,5,7] => [2,2,3]
[2,6,1,4,3,7,5] => [2,2,2,1]
[2,6,1,4,5,3,7] => [2,3,2]
[2,6,1,4,5,7,3] => [2,4,1]
[2,6,1,4,7,3,5] => [2,3,2]
[2,6,1,4,7,5,3] => [2,3,1,1]
[2,6,1,5,3,4,7] => [2,2,3]
[2,6,1,5,3,7,4] => [2,2,2,1]
[2,6,1,5,4,3,7] => [2,2,1,2]
[2,6,1,5,4,7,3] => [2,2,2,1]
[2,6,1,5,7,3,4] => [2,3,2]
[2,6,1,5,7,4,3] => [2,3,1,1]
[2,6,1,7,3,4,5] => [2,2,3]
[2,6,1,7,3,5,4] => [2,2,2,1]
[2,6,1,7,4,3,5] => [2,2,1,2]
[2,6,1,7,4,5,3] => [2,2,2,1]
[2,6,1,7,5,3,4] => [2,2,1,2]
[2,6,1,7,5,4,3] => [2,2,1,1,1]
[2,6,3,1,4,5,7] => [2,1,4]
[2,6,3,1,4,7,5] => [2,1,3,1]
[2,6,3,1,5,4,7] => [2,1,2,2]
[2,6,3,1,5,7,4] => [2,1,3,1]
[2,6,3,1,7,4,5] => [2,1,2,2]
[2,6,3,1,7,5,4] => [2,1,2,1,1]
[2,6,3,4,1,5,7] => [2,2,3]
[2,6,3,4,1,7,5] => [2,2,2,1]
[2,6,3,4,5,1,7] => [2,3,2]
[2,6,3,4,5,7,1] => [2,4,1]
[2,6,3,4,7,1,5] => [2,3,2]
[2,6,3,4,7,5,1] => [2,3,1,1]
[2,6,3,5,1,4,7] => [2,2,3]
[2,6,3,5,1,7,4] => [2,2,2,1]
[2,6,3,5,4,1,7] => [2,2,1,2]
[2,6,3,5,4,7,1] => [2,2,2,1]
[2,6,3,5,7,1,4] => [2,3,2]
[2,6,3,5,7,4,1] => [2,3,1,1]
[2,6,3,7,1,4,5] => [2,2,3]
[2,6,3,7,1,5,4] => [2,2,2,1]
[2,6,3,7,4,1,5] => [2,2,1,2]
[2,6,3,7,4,5,1] => [2,2,2,1]
[2,6,3,7,5,1,4] => [2,2,1,2]
[2,6,3,7,5,4,1] => [2,2,1,1,1]
[2,6,4,1,3,5,7] => [2,1,4]
[2,6,4,1,3,7,5] => [2,1,3,1]
[2,6,4,1,5,3,7] => [2,1,2,2]
[2,6,4,1,5,7,3] => [2,1,3,1]
[2,6,4,1,7,3,5] => [2,1,2,2]
[2,6,4,1,7,5,3] => [2,1,2,1,1]
[2,6,4,3,1,5,7] => [2,1,1,3]
[2,6,4,3,1,7,5] => [2,1,1,2,1]
[2,6,4,3,5,1,7] => [2,1,2,2]
[2,6,4,3,5,7,1] => [2,1,3,1]
[2,6,4,3,7,1,5] => [2,1,2,2]
[2,6,4,3,7,5,1] => [2,1,2,1,1]
[2,6,4,5,1,3,7] => [2,2,3]
[2,6,4,5,1,7,3] => [2,2,2,1]
[2,6,4,5,3,1,7] => [2,2,1,2]
[2,6,4,5,3,7,1] => [2,2,2,1]
[2,6,4,5,7,1,3] => [2,3,2]
[2,6,4,5,7,3,1] => [2,3,1,1]
[2,6,4,7,1,3,5] => [2,2,3]
[2,6,4,7,1,5,3] => [2,2,2,1]
[2,6,4,7,3,1,5] => [2,2,1,2]
[2,6,4,7,3,5,1] => [2,2,2,1]
[2,6,4,7,5,1,3] => [2,2,1,2]
[2,6,4,7,5,3,1] => [2,2,1,1,1]
[2,6,5,1,3,4,7] => [2,1,4]
[2,6,5,1,3,7,4] => [2,1,3,1]
[2,6,5,1,4,3,7] => [2,1,2,2]
[2,6,5,1,4,7,3] => [2,1,3,1]
[2,6,5,1,7,3,4] => [2,1,2,2]
[2,6,5,1,7,4,3] => [2,1,2,1,1]
[2,6,5,3,1,4,7] => [2,1,1,3]
[2,6,5,3,1,7,4] => [2,1,1,2,1]
[2,6,5,3,4,1,7] => [2,1,2,2]
[2,6,5,3,4,7,1] => [2,1,3,1]
[2,6,5,3,7,1,4] => [2,1,2,2]
[2,6,5,3,7,4,1] => [2,1,2,1,1]
[2,6,5,4,1,3,7] => [2,1,1,3]
[2,6,5,4,1,7,3] => [2,1,1,2,1]
[2,6,5,4,3,1,7] => [2,1,1,1,2]
[2,6,5,4,3,7,1] => [2,1,1,2,1]
[2,6,5,4,7,1,3] => [2,1,2,2]
[2,6,5,4,7,3,1] => [2,1,2,1,1]
[2,6,5,7,1,3,4] => [2,2,3]
[2,6,5,7,1,4,3] => [2,2,2,1]
[2,6,5,7,3,1,4] => [2,2,1,2]
[2,6,5,7,3,4,1] => [2,2,2,1]
[2,6,5,7,4,1,3] => [2,2,1,2]
[2,6,5,7,4,3,1] => [2,2,1,1,1]
[2,6,7,1,3,4,5] => [3,4]
[2,6,7,1,3,5,4] => [3,3,1]
[2,6,7,1,4,3,5] => [3,2,2]
[2,6,7,1,4,5,3] => [3,3,1]
[2,6,7,1,5,3,4] => [3,2,2]
[2,6,7,1,5,4,3] => [3,2,1,1]
[2,6,7,3,1,4,5] => [3,1,3]
[2,6,7,3,1,5,4] => [3,1,2,1]
[2,6,7,3,4,1,5] => [3,2,2]
[2,6,7,3,4,5,1] => [3,3,1]
[2,6,7,3,5,1,4] => [3,2,2]
[2,6,7,3,5,4,1] => [3,2,1,1]
[2,6,7,4,1,3,5] => [3,1,3]
[2,6,7,4,1,5,3] => [3,1,2,1]
[2,6,7,4,3,1,5] => [3,1,1,2]
[2,6,7,4,3,5,1] => [3,1,2,1]
[2,6,7,4,5,1,3] => [3,2,2]
[2,6,7,4,5,3,1] => [3,2,1,1]
[2,6,7,5,1,3,4] => [3,1,3]
[2,6,7,5,1,4,3] => [3,1,2,1]
[2,6,7,5,3,1,4] => [3,1,1,2]
[2,6,7,5,3,4,1] => [3,1,2,1]
[2,6,7,5,4,1,3] => [3,1,1,2]
[2,6,7,5,4,3,1] => [3,1,1,1,1]
[2,7,1,3,4,5,6] => [2,5]
[2,7,1,3,4,6,5] => [2,4,1]
[2,7,1,3,5,4,6] => [2,3,2]
[2,7,1,3,5,6,4] => [2,4,1]
[2,7,1,3,6,4,5] => [2,3,2]
[2,7,1,3,6,5,4] => [2,3,1,1]
[2,7,1,4,3,5,6] => [2,2,3]
[2,7,1,4,3,6,5] => [2,2,2,1]
[2,7,1,4,5,3,6] => [2,3,2]
[2,7,1,4,5,6,3] => [2,4,1]
[2,7,1,4,6,3,5] => [2,3,2]
[2,7,1,4,6,5,3] => [2,3,1,1]
[2,7,1,5,3,4,6] => [2,2,3]
[2,7,1,5,3,6,4] => [2,2,2,1]
[2,7,1,5,4,3,6] => [2,2,1,2]
[2,7,1,5,4,6,3] => [2,2,2,1]
[2,7,1,5,6,3,4] => [2,3,2]
[2,7,1,5,6,4,3] => [2,3,1,1]
[2,7,1,6,3,4,5] => [2,2,3]
[2,7,1,6,3,5,4] => [2,2,2,1]
[2,7,1,6,4,3,5] => [2,2,1,2]
[2,7,1,6,4,5,3] => [2,2,2,1]
[2,7,1,6,5,3,4] => [2,2,1,2]
[2,7,1,6,5,4,3] => [2,2,1,1,1]
[2,7,3,1,4,5,6] => [2,1,4]
[2,7,3,1,4,6,5] => [2,1,3,1]
[2,7,3,1,5,4,6] => [2,1,2,2]
[2,7,3,1,5,6,4] => [2,1,3,1]
[2,7,3,1,6,4,5] => [2,1,2,2]
[2,7,3,1,6,5,4] => [2,1,2,1,1]
[2,7,3,4,1,5,6] => [2,2,3]
[2,7,3,4,1,6,5] => [2,2,2,1]
[2,7,3,4,5,1,6] => [2,3,2]
[2,7,3,4,5,6,1] => [2,4,1]
[2,7,3,4,6,1,5] => [2,3,2]
[2,7,3,4,6,5,1] => [2,3,1,1]
[2,7,3,5,1,4,6] => [2,2,3]
[2,7,3,5,1,6,4] => [2,2,2,1]
[2,7,3,5,4,1,6] => [2,2,1,2]
[2,7,3,5,4,6,1] => [2,2,2,1]
[2,7,3,5,6,1,4] => [2,3,2]
[2,7,3,5,6,4,1] => [2,3,1,1]
[2,7,3,6,1,4,5] => [2,2,3]
[2,7,3,6,1,5,4] => [2,2,2,1]
[2,7,3,6,4,1,5] => [2,2,1,2]
[2,7,3,6,4,5,1] => [2,2,2,1]
[2,7,3,6,5,1,4] => [2,2,1,2]
[2,7,3,6,5,4,1] => [2,2,1,1,1]
[2,7,4,1,3,5,6] => [2,1,4]
[2,7,4,1,3,6,5] => [2,1,3,1]
[2,7,4,1,5,3,6] => [2,1,2,2]
[2,7,4,1,5,6,3] => [2,1,3,1]
[2,7,4,1,6,3,5] => [2,1,2,2]
[2,7,4,1,6,5,3] => [2,1,2,1,1]
[2,7,4,3,1,5,6] => [2,1,1,3]
[2,7,4,3,1,6,5] => [2,1,1,2,1]
[2,7,4,3,5,1,6] => [2,1,2,2]
[2,7,4,3,5,6,1] => [2,1,3,1]
[2,7,4,3,6,1,5] => [2,1,2,2]
[2,7,4,3,6,5,1] => [2,1,2,1,1]
[2,7,4,5,1,3,6] => [2,2,3]
[2,7,4,5,1,6,3] => [2,2,2,1]
[2,7,4,5,3,1,6] => [2,2,1,2]
[2,7,4,5,3,6,1] => [2,2,2,1]
[2,7,4,5,6,1,3] => [2,3,2]
[2,7,4,5,6,3,1] => [2,3,1,1]
[2,7,4,6,1,3,5] => [2,2,3]
[2,7,4,6,1,5,3] => [2,2,2,1]
[2,7,4,6,3,1,5] => [2,2,1,2]
[2,7,4,6,3,5,1] => [2,2,2,1]
[2,7,4,6,5,1,3] => [2,2,1,2]
[2,7,4,6,5,3,1] => [2,2,1,1,1]
[2,7,5,1,3,4,6] => [2,1,4]
[2,7,5,1,3,6,4] => [2,1,3,1]
[2,7,5,1,4,3,6] => [2,1,2,2]
[2,7,5,1,4,6,3] => [2,1,3,1]
[2,7,5,1,6,3,4] => [2,1,2,2]
[2,7,5,1,6,4,3] => [2,1,2,1,1]
[2,7,5,3,1,4,6] => [2,1,1,3]
[2,7,5,3,1,6,4] => [2,1,1,2,1]
[2,7,5,3,4,1,6] => [2,1,2,2]
[2,7,5,3,4,6,1] => [2,1,3,1]
[2,7,5,3,6,1,4] => [2,1,2,2]
[2,7,5,3,6,4,1] => [2,1,2,1,1]
[2,7,5,4,1,3,6] => [2,1,1,3]
[2,7,5,4,1,6,3] => [2,1,1,2,1]
[2,7,5,4,3,1,6] => [2,1,1,1,2]
[2,7,5,4,3,6,1] => [2,1,1,2,1]
[2,7,5,4,6,1,3] => [2,1,2,2]
[2,7,5,4,6,3,1] => [2,1,2,1,1]
[2,7,5,6,1,3,4] => [2,2,3]
[2,7,5,6,1,4,3] => [2,2,2,1]
[2,7,5,6,3,1,4] => [2,2,1,2]
[2,7,5,6,3,4,1] => [2,2,2,1]
[2,7,5,6,4,1,3] => [2,2,1,2]
[2,7,5,6,4,3,1] => [2,2,1,1,1]
[2,7,6,1,3,4,5] => [2,1,4]
[2,7,6,1,3,5,4] => [2,1,3,1]
[2,7,6,1,4,3,5] => [2,1,2,2]
[2,7,6,1,4,5,3] => [2,1,3,1]
[2,7,6,1,5,3,4] => [2,1,2,2]
[2,7,6,1,5,4,3] => [2,1,2,1,1]
[2,7,6,3,1,4,5] => [2,1,1,3]
[2,7,6,3,1,5,4] => [2,1,1,2,1]
[2,7,6,3,4,1,5] => [2,1,2,2]
[2,7,6,3,4,5,1] => [2,1,3,1]
[2,7,6,3,5,1,4] => [2,1,2,2]
[2,7,6,3,5,4,1] => [2,1,2,1,1]
[2,7,6,4,1,3,5] => [2,1,1,3]
[2,7,6,4,1,5,3] => [2,1,1,2,1]
[2,7,6,4,3,1,5] => [2,1,1,1,2]
[2,7,6,4,3,5,1] => [2,1,1,2,1]
[2,7,6,4,5,1,3] => [2,1,2,2]
[2,7,6,4,5,3,1] => [2,1,2,1,1]
[2,7,6,5,1,3,4] => [2,1,1,3]
[2,7,6,5,1,4,3] => [2,1,1,2,1]
[2,7,6,5,3,1,4] => [2,1,1,1,2]
[2,7,6,5,3,4,1] => [2,1,1,2,1]
[2,7,6,5,4,1,3] => [2,1,1,1,2]
[2,7,6,5,4,3,1] => [2,1,1,1,1,1]
[3,1,2,4,5,6,7] => [1,6]
[3,1,2,4,5,7,6] => [1,5,1]
[3,1,2,4,6,5,7] => [1,4,2]
[3,1,2,4,6,7,5] => [1,5,1]
[3,1,2,4,7,5,6] => [1,4,2]
[3,1,2,4,7,6,5] => [1,4,1,1]
[3,1,2,5,4,6,7] => [1,3,3]
[3,1,2,5,4,7,6] => [1,3,2,1]
[3,1,2,5,6,4,7] => [1,4,2]
[3,1,2,5,6,7,4] => [1,5,1]
[3,1,2,5,7,4,6] => [1,4,2]
[3,1,2,5,7,6,4] => [1,4,1,1]
[3,1,2,6,4,5,7] => [1,3,3]
[3,1,2,6,4,7,5] => [1,3,2,1]
[3,1,2,6,5,4,7] => [1,3,1,2]
[3,1,2,6,5,7,4] => [1,3,2,1]
[3,1,2,6,7,4,5] => [1,4,2]
[3,1,2,6,7,5,4] => [1,4,1,1]
[3,1,2,7,4,5,6] => [1,3,3]
[3,1,2,7,4,6,5] => [1,3,2,1]
[3,1,2,7,5,4,6] => [1,3,1,2]
[3,1,2,7,5,6,4] => [1,3,2,1]
[3,1,2,7,6,4,5] => [1,3,1,2]
[3,1,2,7,6,5,4] => [1,3,1,1,1]
[3,1,4,2,5,6,7] => [1,2,4]
[3,1,4,2,5,7,6] => [1,2,3,1]
[3,1,4,2,6,5,7] => [1,2,2,2]
[3,1,4,2,6,7,5] => [1,2,3,1]
[3,1,4,2,7,5,6] => [1,2,2,2]
[3,1,4,2,7,6,5] => [1,2,2,1,1]
[3,1,4,5,2,6,7] => [1,3,3]
[3,1,4,5,2,7,6] => [1,3,2,1]
[3,1,4,5,6,2,7] => [1,4,2]
[3,1,4,5,6,7,2] => [1,5,1]
[3,1,4,5,7,2,6] => [1,4,2]
[3,1,4,5,7,6,2] => [1,4,1,1]
[3,1,4,6,2,5,7] => [1,3,3]
[3,1,4,6,2,7,5] => [1,3,2,1]
[3,1,4,6,5,2,7] => [1,3,1,2]
[3,1,4,6,5,7,2] => [1,3,2,1]
[3,1,4,6,7,2,5] => [1,4,2]
[3,1,4,6,7,5,2] => [1,4,1,1]
[3,1,4,7,2,5,6] => [1,3,3]
[3,1,4,7,2,6,5] => [1,3,2,1]
[3,1,4,7,5,2,6] => [1,3,1,2]
[3,1,4,7,5,6,2] => [1,3,2,1]
[3,1,4,7,6,2,5] => [1,3,1,2]
[3,1,4,7,6,5,2] => [1,3,1,1,1]
[3,1,5,2,4,6,7] => [1,2,4]
[3,1,5,2,4,7,6] => [1,2,3,1]
[3,1,5,2,6,4,7] => [1,2,2,2]
[3,1,5,2,6,7,4] => [1,2,3,1]
[3,1,5,2,7,4,6] => [1,2,2,2]
[3,1,5,2,7,6,4] => [1,2,2,1,1]
[3,1,5,4,2,6,7] => [1,2,1,3]
[3,1,5,4,2,7,6] => [1,2,1,2,1]
[3,1,5,4,6,2,7] => [1,2,2,2]
[3,1,5,4,6,7,2] => [1,2,3,1]
[3,1,5,4,7,2,6] => [1,2,2,2]
[3,1,5,4,7,6,2] => [1,2,2,1,1]
[3,1,5,6,2,4,7] => [1,3,3]
[3,1,5,6,2,7,4] => [1,3,2,1]
[3,1,5,6,4,2,7] => [1,3,1,2]
[3,1,5,6,4,7,2] => [1,3,2,1]
[3,1,5,6,7,2,4] => [1,4,2]
[3,1,5,6,7,4,2] => [1,4,1,1]
[3,1,5,7,2,4,6] => [1,3,3]
[3,1,5,7,2,6,4] => [1,3,2,1]
[3,1,5,7,4,2,6] => [1,3,1,2]
[3,1,5,7,4,6,2] => [1,3,2,1]
[3,1,5,7,6,2,4] => [1,3,1,2]
[3,1,5,7,6,4,2] => [1,3,1,1,1]
[3,1,6,2,4,5,7] => [1,2,4]
[3,1,6,2,4,7,5] => [1,2,3,1]
[3,1,6,2,5,4,7] => [1,2,2,2]
[3,1,6,2,5,7,4] => [1,2,3,1]
[3,1,6,2,7,4,5] => [1,2,2,2]
[3,1,6,2,7,5,4] => [1,2,2,1,1]
[3,1,6,4,2,5,7] => [1,2,1,3]
[3,1,6,4,2,7,5] => [1,2,1,2,1]
[3,1,6,4,5,2,7] => [1,2,2,2]
[3,1,6,4,5,7,2] => [1,2,3,1]
[3,1,6,4,7,2,5] => [1,2,2,2]
[3,1,6,4,7,5,2] => [1,2,2,1,1]
[3,1,6,5,2,4,7] => [1,2,1,3]
[3,1,6,5,2,7,4] => [1,2,1,2,1]
[3,1,6,5,4,2,7] => [1,2,1,1,2]
[3,1,6,5,4,7,2] => [1,2,1,2,1]
[3,1,6,5,7,2,4] => [1,2,2,2]
[3,1,6,5,7,4,2] => [1,2,2,1,1]
[3,1,6,7,2,4,5] => [1,3,3]
[3,1,6,7,2,5,4] => [1,3,2,1]
[3,1,6,7,4,2,5] => [1,3,1,2]
[3,1,6,7,4,5,2] => [1,3,2,1]
[3,1,6,7,5,2,4] => [1,3,1,2]
[3,1,6,7,5,4,2] => [1,3,1,1,1]
[3,1,7,2,4,5,6] => [1,2,4]
[3,1,7,2,4,6,5] => [1,2,3,1]
[3,1,7,2,5,4,6] => [1,2,2,2]
[3,1,7,2,5,6,4] => [1,2,3,1]
[3,1,7,2,6,4,5] => [1,2,2,2]
[3,1,7,2,6,5,4] => [1,2,2,1,1]
[3,1,7,4,2,5,6] => [1,2,1,3]
[3,1,7,4,2,6,5] => [1,2,1,2,1]
[3,1,7,4,5,2,6] => [1,2,2,2]
[3,1,7,4,5,6,2] => [1,2,3,1]
[3,1,7,4,6,2,5] => [1,2,2,2]
[3,1,7,4,6,5,2] => [1,2,2,1,1]
[3,1,7,5,2,4,6] => [1,2,1,3]
[3,1,7,5,2,6,4] => [1,2,1,2,1]
[3,1,7,5,4,2,6] => [1,2,1,1,2]
[3,1,7,5,4,6,2] => [1,2,1,2,1]
[3,1,7,5,6,2,4] => [1,2,2,2]
[3,1,7,5,6,4,2] => [1,2,2,1,1]
[3,1,7,6,2,4,5] => [1,2,1,3]
[3,1,7,6,2,5,4] => [1,2,1,2,1]
[3,1,7,6,4,2,5] => [1,2,1,1,2]
[3,1,7,6,4,5,2] => [1,2,1,2,1]
[3,1,7,6,5,2,4] => [1,2,1,1,2]
[3,1,7,6,5,4,2] => [1,2,1,1,1,1]
[3,2,1,4,5,6,7] => [1,1,5]
[3,2,1,4,5,7,6] => [1,1,4,1]
[3,2,1,4,6,5,7] => [1,1,3,2]
[3,2,1,4,6,7,5] => [1,1,4,1]
[3,2,1,4,7,5,6] => [1,1,3,2]
[3,2,1,4,7,6,5] => [1,1,3,1,1]
[3,2,1,5,4,6,7] => [1,1,2,3]
[3,2,1,5,4,7,6] => [1,1,2,2,1]
[3,2,1,5,6,4,7] => [1,1,3,2]
[3,2,1,5,6,7,4] => [1,1,4,1]
[3,2,1,5,7,4,6] => [1,1,3,2]
[3,2,1,5,7,6,4] => [1,1,3,1,1]
[3,2,1,6,4,5,7] => [1,1,2,3]
[3,2,1,6,4,7,5] => [1,1,2,2,1]
[3,2,1,6,5,4,7] => [1,1,2,1,2]
[3,2,1,6,5,7,4] => [1,1,2,2,1]
[3,2,1,6,7,4,5] => [1,1,3,2]
[3,2,1,6,7,5,4] => [1,1,3,1,1]
[3,2,1,7,4,5,6] => [1,1,2,3]
[3,2,1,7,4,6,5] => [1,1,2,2,1]
[3,2,1,7,5,4,6] => [1,1,2,1,2]
[3,2,1,7,5,6,4] => [1,1,2,2,1]
[3,2,1,7,6,4,5] => [1,1,2,1,2]
[3,2,1,7,6,5,4] => [1,1,2,1,1,1]
[3,2,4,1,5,6,7] => [1,2,4]
[3,2,4,1,5,7,6] => [1,2,3,1]
[3,2,4,1,6,5,7] => [1,2,2,2]
[3,2,4,1,6,7,5] => [1,2,3,1]
[3,2,4,1,7,5,6] => [1,2,2,2]
[3,2,4,1,7,6,5] => [1,2,2,1,1]
[3,2,4,5,1,6,7] => [1,3,3]
[3,2,4,5,1,7,6] => [1,3,2,1]
[3,2,4,5,6,1,7] => [1,4,2]
[3,2,4,5,6,7,1] => [1,5,1]
[3,2,4,5,7,1,6] => [1,4,2]
[3,2,4,5,7,6,1] => [1,4,1,1]
[3,2,4,6,1,5,7] => [1,3,3]
[3,2,4,6,1,7,5] => [1,3,2,1]
[3,2,4,6,5,1,7] => [1,3,1,2]
[3,2,4,6,5,7,1] => [1,3,2,1]
[3,2,4,6,7,1,5] => [1,4,2]
[3,2,4,6,7,5,1] => [1,4,1,1]
[3,2,4,7,1,5,6] => [1,3,3]
[3,2,4,7,1,6,5] => [1,3,2,1]
[3,2,4,7,5,1,6] => [1,3,1,2]
[3,2,4,7,5,6,1] => [1,3,2,1]
[3,2,4,7,6,1,5] => [1,3,1,2]
[3,2,4,7,6,5,1] => [1,3,1,1,1]
[3,2,5,1,4,6,7] => [1,2,4]
[3,2,5,1,4,7,6] => [1,2,3,1]
[3,2,5,1,6,4,7] => [1,2,2,2]
[3,2,5,1,6,7,4] => [1,2,3,1]
[3,2,5,1,7,4,6] => [1,2,2,2]
[3,2,5,1,7,6,4] => [1,2,2,1,1]
[3,2,5,4,1,6,7] => [1,2,1,3]
[3,2,5,4,1,7,6] => [1,2,1,2,1]
[3,2,5,4,6,1,7] => [1,2,2,2]
[3,2,5,4,6,7,1] => [1,2,3,1]
[3,2,5,4,7,1,6] => [1,2,2,2]
[3,2,5,4,7,6,1] => [1,2,2,1,1]
[3,2,5,6,1,4,7] => [1,3,3]
[3,2,5,6,1,7,4] => [1,3,2,1]
[3,2,5,6,4,1,7] => [1,3,1,2]
[3,2,5,6,4,7,1] => [1,3,2,1]
[3,2,5,6,7,1,4] => [1,4,2]
[3,2,5,6,7,4,1] => [1,4,1,1]
[3,2,5,7,1,4,6] => [1,3,3]
[3,2,5,7,1,6,4] => [1,3,2,1]
[3,2,5,7,4,1,6] => [1,3,1,2]
[3,2,5,7,4,6,1] => [1,3,2,1]
[3,2,5,7,6,1,4] => [1,3,1,2]
[3,2,5,7,6,4,1] => [1,3,1,1,1]
[3,2,6,1,4,5,7] => [1,2,4]
[3,2,6,1,4,7,5] => [1,2,3,1]
[3,2,6,1,5,4,7] => [1,2,2,2]
[3,2,6,1,5,7,4] => [1,2,3,1]
[3,2,6,1,7,4,5] => [1,2,2,2]
[3,2,6,1,7,5,4] => [1,2,2,1,1]
[3,2,6,4,1,5,7] => [1,2,1,3]
[3,2,6,4,1,7,5] => [1,2,1,2,1]
[3,2,6,4,5,1,7] => [1,2,2,2]
[3,2,6,4,5,7,1] => [1,2,3,1]
[3,2,6,4,7,1,5] => [1,2,2,2]
[3,2,6,4,7,5,1] => [1,2,2,1,1]
[3,2,6,5,1,4,7] => [1,2,1,3]
[3,2,6,5,1,7,4] => [1,2,1,2,1]
[3,2,6,5,4,1,7] => [1,2,1,1,2]
[3,2,6,5,4,7,1] => [1,2,1,2,1]
[3,2,6,5,7,1,4] => [1,2,2,2]
[3,2,6,5,7,4,1] => [1,2,2,1,1]
[3,2,6,7,1,4,5] => [1,3,3]
[3,2,6,7,1,5,4] => [1,3,2,1]
[3,2,6,7,4,1,5] => [1,3,1,2]
[3,2,6,7,4,5,1] => [1,3,2,1]
[3,2,6,7,5,1,4] => [1,3,1,2]
[3,2,6,7,5,4,1] => [1,3,1,1,1]
[3,2,7,1,4,5,6] => [1,2,4]
[3,2,7,1,4,6,5] => [1,2,3,1]
[3,2,7,1,5,4,6] => [1,2,2,2]
[3,2,7,1,5,6,4] => [1,2,3,1]
[3,2,7,1,6,4,5] => [1,2,2,2]
[3,2,7,1,6,5,4] => [1,2,2,1,1]
[3,2,7,4,1,5,6] => [1,2,1,3]
[3,2,7,4,1,6,5] => [1,2,1,2,1]
[3,2,7,4,5,1,6] => [1,2,2,2]
[3,2,7,4,5,6,1] => [1,2,3,1]
[3,2,7,4,6,1,5] => [1,2,2,2]
[3,2,7,4,6,5,1] => [1,2,2,1,1]
[3,2,7,5,1,4,6] => [1,2,1,3]
[3,2,7,5,1,6,4] => [1,2,1,2,1]
[3,2,7,5,4,1,6] => [1,2,1,1,2]
[3,2,7,5,4,6,1] => [1,2,1,2,1]
[3,2,7,5,6,1,4] => [1,2,2,2]
[3,2,7,5,6,4,1] => [1,2,2,1,1]
[3,2,7,6,1,4,5] => [1,2,1,3]
[3,2,7,6,1,5,4] => [1,2,1,2,1]
[3,2,7,6,4,1,5] => [1,2,1,1,2]
[3,2,7,6,4,5,1] => [1,2,1,2,1]
[3,2,7,6,5,1,4] => [1,2,1,1,2]
[3,2,7,6,5,4,1] => [1,2,1,1,1,1]
[3,4,1,2,5,6,7] => [2,5]
[3,4,1,2,5,7,6] => [2,4,1]
[3,4,1,2,6,5,7] => [2,3,2]
[3,4,1,2,6,7,5] => [2,4,1]
[3,4,1,2,7,5,6] => [2,3,2]
[3,4,1,2,7,6,5] => [2,3,1,1]
[3,4,1,5,2,6,7] => [2,2,3]
[3,4,1,5,2,7,6] => [2,2,2,1]
[3,4,1,5,6,2,7] => [2,3,2]
[3,4,1,5,6,7,2] => [2,4,1]
[3,4,1,5,7,2,6] => [2,3,2]
[3,4,1,5,7,6,2] => [2,3,1,1]
[3,4,1,6,2,5,7] => [2,2,3]
[3,4,1,6,2,7,5] => [2,2,2,1]
[3,4,1,6,5,2,7] => [2,2,1,2]
[3,4,1,6,5,7,2] => [2,2,2,1]
[3,4,1,6,7,2,5] => [2,3,2]
[3,4,1,6,7,5,2] => [2,3,1,1]
[3,4,1,7,2,5,6] => [2,2,3]
[3,4,1,7,2,6,5] => [2,2,2,1]
[3,4,1,7,5,2,6] => [2,2,1,2]
[3,4,1,7,5,6,2] => [2,2,2,1]
[3,4,1,7,6,2,5] => [2,2,1,2]
[3,4,1,7,6,5,2] => [2,2,1,1,1]
[3,4,2,1,5,6,7] => [2,1,4]
[3,4,2,1,5,7,6] => [2,1,3,1]
[3,4,2,1,6,5,7] => [2,1,2,2]
[3,4,2,1,6,7,5] => [2,1,3,1]
[3,4,2,1,7,5,6] => [2,1,2,2]
[3,4,2,1,7,6,5] => [2,1,2,1,1]
[3,4,2,5,1,6,7] => [2,2,3]
[3,4,2,5,1,7,6] => [2,2,2,1]
[3,4,2,5,6,1,7] => [2,3,2]
[3,4,2,5,6,7,1] => [2,4,1]
[3,4,2,5,7,1,6] => [2,3,2]
[3,4,2,5,7,6,1] => [2,3,1,1]
[3,4,2,6,1,5,7] => [2,2,3]
[3,4,2,6,1,7,5] => [2,2,2,1]
[3,4,2,6,5,1,7] => [2,2,1,2]
[3,4,2,6,5,7,1] => [2,2,2,1]
[3,4,2,6,7,1,5] => [2,3,2]
[3,4,2,6,7,5,1] => [2,3,1,1]
[3,4,2,7,1,5,6] => [2,2,3]
[3,4,2,7,1,6,5] => [2,2,2,1]
[3,4,2,7,5,1,6] => [2,2,1,2]
[3,4,2,7,5,6,1] => [2,2,2,1]
[3,4,2,7,6,1,5] => [2,2,1,2]
[3,4,2,7,6,5,1] => [2,2,1,1,1]
[3,4,5,1,2,6,7] => [3,4]
[3,4,5,1,2,7,6] => [3,3,1]
[3,4,5,1,6,2,7] => [3,2,2]
[3,4,5,1,6,7,2] => [3,3,1]
[3,4,5,1,7,2,6] => [3,2,2]
[3,4,5,1,7,6,2] => [3,2,1,1]
[3,4,5,2,1,6,7] => [3,1,3]
[3,4,5,2,1,7,6] => [3,1,2,1]
[3,4,5,2,6,1,7] => [3,2,2]
[3,4,5,2,6,7,1] => [3,3,1]
[3,4,5,2,7,1,6] => [3,2,2]
[3,4,5,2,7,6,1] => [3,2,1,1]
[3,4,5,6,1,2,7] => [4,3]
[3,4,5,6,1,7,2] => [4,2,1]
[3,4,5,6,2,1,7] => [4,1,2]
[3,4,5,6,2,7,1] => [4,2,1]
[3,4,5,6,7,1,2] => [5,2]
[3,4,5,6,7,2,1] => [5,1,1]
[3,4,5,7,1,2,6] => [4,3]
[3,4,5,7,1,6,2] => [4,2,1]
[3,4,5,7,2,1,6] => [4,1,2]
[3,4,5,7,2,6,1] => [4,2,1]
[3,4,5,7,6,1,2] => [4,1,2]
[3,4,5,7,6,2,1] => [4,1,1,1]
[3,4,6,1,2,5,7] => [3,4]
[3,4,6,1,2,7,5] => [3,3,1]
[3,4,6,1,5,2,7] => [3,2,2]
[3,4,6,1,5,7,2] => [3,3,1]
[3,4,6,1,7,2,5] => [3,2,2]
[3,4,6,1,7,5,2] => [3,2,1,1]
[3,4,6,2,1,5,7] => [3,1,3]
[3,4,6,2,1,7,5] => [3,1,2,1]
[3,4,6,2,5,1,7] => [3,2,2]
[3,4,6,2,5,7,1] => [3,3,1]
[3,4,6,2,7,1,5] => [3,2,2]
[3,4,6,2,7,5,1] => [3,2,1,1]
[3,4,6,5,1,2,7] => [3,1,3]
[3,4,6,5,1,7,2] => [3,1,2,1]
[3,4,6,5,2,1,7] => [3,1,1,2]
[3,4,6,5,2,7,1] => [3,1,2,1]
[3,4,6,5,7,1,2] => [3,2,2]
[3,4,6,5,7,2,1] => [3,2,1,1]
[3,4,6,7,1,2,5] => [4,3]
[3,4,6,7,1,5,2] => [4,2,1]
[3,4,6,7,2,1,5] => [4,1,2]
[3,4,6,7,2,5,1] => [4,2,1]
[3,4,6,7,5,1,2] => [4,1,2]
[3,4,6,7,5,2,1] => [4,1,1,1]
[3,4,7,1,2,5,6] => [3,4]
[3,4,7,1,2,6,5] => [3,3,1]
[3,4,7,1,5,2,6] => [3,2,2]
[3,4,7,1,5,6,2] => [3,3,1]
[3,4,7,1,6,2,5] => [3,2,2]
[3,4,7,1,6,5,2] => [3,2,1,1]
[3,4,7,2,1,5,6] => [3,1,3]
[3,4,7,2,1,6,5] => [3,1,2,1]
[3,4,7,2,5,1,6] => [3,2,2]
[3,4,7,2,5,6,1] => [3,3,1]
[3,4,7,2,6,1,5] => [3,2,2]
[3,4,7,2,6,5,1] => [3,2,1,1]
[3,4,7,5,1,2,6] => [3,1,3]
[3,4,7,5,1,6,2] => [3,1,2,1]
[3,4,7,5,2,1,6] => [3,1,1,2]
[3,4,7,5,2,6,1] => [3,1,2,1]
[3,4,7,5,6,1,2] => [3,2,2]
[3,4,7,5,6,2,1] => [3,2,1,1]
[3,4,7,6,1,2,5] => [3,1,3]
[3,4,7,6,1,5,2] => [3,1,2,1]
[3,4,7,6,2,1,5] => [3,1,1,2]
[3,4,7,6,2,5,1] => [3,1,2,1]
[3,4,7,6,5,1,2] => [3,1,1,2]
[3,4,7,6,5,2,1] => [3,1,1,1,1]
[3,5,1,2,4,6,7] => [2,5]
[3,5,1,2,4,7,6] => [2,4,1]
[3,5,1,2,6,4,7] => [2,3,2]
[3,5,1,2,6,7,4] => [2,4,1]
[3,5,1,2,7,4,6] => [2,3,2]
[3,5,1,2,7,6,4] => [2,3,1,1]
[3,5,1,4,2,6,7] => [2,2,3]
[3,5,1,4,2,7,6] => [2,2,2,1]
[3,5,1,4,6,2,7] => [2,3,2]
[3,5,1,4,6,7,2] => [2,4,1]
[3,5,1,4,7,2,6] => [2,3,2]
[3,5,1,4,7,6,2] => [2,3,1,1]
[3,5,1,6,2,4,7] => [2,2,3]
[3,5,1,6,2,7,4] => [2,2,2,1]
[3,5,1,6,4,2,7] => [2,2,1,2]
[3,5,1,6,4,7,2] => [2,2,2,1]
[3,5,1,6,7,2,4] => [2,3,2]
[3,5,1,6,7,4,2] => [2,3,1,1]
[3,5,1,7,2,4,6] => [2,2,3]
[3,5,1,7,2,6,4] => [2,2,2,1]
[3,5,1,7,4,2,6] => [2,2,1,2]
[3,5,1,7,4,6,2] => [2,2,2,1]
[3,5,1,7,6,2,4] => [2,2,1,2]
[3,5,1,7,6,4,2] => [2,2,1,1,1]
[3,5,2,1,4,6,7] => [2,1,4]
[3,5,2,1,4,7,6] => [2,1,3,1]
[3,5,2,1,6,4,7] => [2,1,2,2]
[3,5,2,1,6,7,4] => [2,1,3,1]
[3,5,2,1,7,4,6] => [2,1,2,2]
[3,5,2,1,7,6,4] => [2,1,2,1,1]
[3,5,2,4,1,6,7] => [2,2,3]
[3,5,2,4,1,7,6] => [2,2,2,1]
[3,5,2,4,6,1,7] => [2,3,2]
[3,5,2,4,6,7,1] => [2,4,1]
[3,5,2,4,7,1,6] => [2,3,2]
[3,5,2,4,7,6,1] => [2,3,1,1]
[3,5,2,6,1,4,7] => [2,2,3]
[3,5,2,6,1,7,4] => [2,2,2,1]
[3,5,2,6,4,1,7] => [2,2,1,2]
[3,5,2,6,4,7,1] => [2,2,2,1]
[3,5,2,6,7,1,4] => [2,3,2]
[3,5,2,6,7,4,1] => [2,3,1,1]
[3,5,2,7,1,4,6] => [2,2,3]
[3,5,2,7,1,6,4] => [2,2,2,1]
[3,5,2,7,4,1,6] => [2,2,1,2]
[3,5,2,7,4,6,1] => [2,2,2,1]
[3,5,2,7,6,1,4] => [2,2,1,2]
[3,5,2,7,6,4,1] => [2,2,1,1,1]
[3,5,4,1,2,6,7] => [2,1,4]
[3,5,4,1,2,7,6] => [2,1,3,1]
[3,5,4,1,6,2,7] => [2,1,2,2]
[3,5,4,1,6,7,2] => [2,1,3,1]
[3,5,4,1,7,2,6] => [2,1,2,2]
[3,5,4,1,7,6,2] => [2,1,2,1,1]
[3,5,4,2,1,6,7] => [2,1,1,3]
[3,5,4,2,1,7,6] => [2,1,1,2,1]
[3,5,4,2,6,1,7] => [2,1,2,2]
[3,5,4,2,6,7,1] => [2,1,3,1]
[3,5,4,2,7,1,6] => [2,1,2,2]
[3,5,4,2,7,6,1] => [2,1,2,1,1]
[3,5,4,6,1,2,7] => [2,2,3]
[3,5,4,6,1,7,2] => [2,2,2,1]
[3,5,4,6,2,1,7] => [2,2,1,2]
[3,5,4,6,2,7,1] => [2,2,2,1]
[3,5,4,6,7,1,2] => [2,3,2]
[3,5,4,6,7,2,1] => [2,3,1,1]
[3,5,4,7,1,2,6] => [2,2,3]
[3,5,4,7,1,6,2] => [2,2,2,1]
[3,5,4,7,2,1,6] => [2,2,1,2]
[3,5,4,7,2,6,1] => [2,2,2,1]
[3,5,4,7,6,1,2] => [2,2,1,2]
[3,5,4,7,6,2,1] => [2,2,1,1,1]
[3,5,6,1,2,4,7] => [3,4]
[3,5,6,1,2,7,4] => [3,3,1]
[3,5,6,1,4,2,7] => [3,2,2]
[3,5,6,1,4,7,2] => [3,3,1]
[3,5,6,1,7,2,4] => [3,2,2]
[3,5,6,1,7,4,2] => [3,2,1,1]
[3,5,6,2,1,4,7] => [3,1,3]
[3,5,6,2,1,7,4] => [3,1,2,1]
[3,5,6,2,4,1,7] => [3,2,2]
[3,5,6,2,4,7,1] => [3,3,1]
[3,5,6,2,7,1,4] => [3,2,2]
[3,5,6,2,7,4,1] => [3,2,1,1]
[3,5,6,4,1,2,7] => [3,1,3]
[3,5,6,4,1,7,2] => [3,1,2,1]
[3,5,6,4,2,1,7] => [3,1,1,2]
[3,5,6,4,2,7,1] => [3,1,2,1]
[3,5,6,4,7,1,2] => [3,2,2]
[3,5,6,4,7,2,1] => [3,2,1,1]
[3,5,6,7,1,2,4] => [4,3]
[3,5,6,7,1,4,2] => [4,2,1]
[3,5,6,7,2,1,4] => [4,1,2]
[3,5,6,7,2,4,1] => [4,2,1]
[3,5,6,7,4,1,2] => [4,1,2]
[3,5,6,7,4,2,1] => [4,1,1,1]
[3,5,7,1,2,4,6] => [3,4]
[3,5,7,1,2,6,4] => [3,3,1]
[3,5,7,1,4,2,6] => [3,2,2]
[3,5,7,1,4,6,2] => [3,3,1]
[3,5,7,1,6,2,4] => [3,2,2]
[3,5,7,1,6,4,2] => [3,2,1,1]
[3,5,7,2,1,4,6] => [3,1,3]
[3,5,7,2,1,6,4] => [3,1,2,1]
[3,5,7,2,4,1,6] => [3,2,2]
[3,5,7,2,4,6,1] => [3,3,1]
[3,5,7,2,6,1,4] => [3,2,2]
[3,5,7,2,6,4,1] => [3,2,1,1]
[3,5,7,4,1,2,6] => [3,1,3]
[3,5,7,4,1,6,2] => [3,1,2,1]
[3,5,7,4,2,1,6] => [3,1,1,2]
[3,5,7,4,2,6,1] => [3,1,2,1]
[3,5,7,4,6,1,2] => [3,2,2]
[3,5,7,4,6,2,1] => [3,2,1,1]
[3,5,7,6,1,2,4] => [3,1,3]
[3,5,7,6,1,4,2] => [3,1,2,1]
[3,5,7,6,2,1,4] => [3,1,1,2]
[3,5,7,6,2,4,1] => [3,1,2,1]
[3,5,7,6,4,1,2] => [3,1,1,2]
[3,5,7,6,4,2,1] => [3,1,1,1,1]
[3,6,1,2,4,5,7] => [2,5]
[3,6,1,2,4,7,5] => [2,4,1]
[3,6,1,2,5,4,7] => [2,3,2]
[3,6,1,2,5,7,4] => [2,4,1]
[3,6,1,2,7,4,5] => [2,3,2]
[3,6,1,2,7,5,4] => [2,3,1,1]
[3,6,1,4,2,5,7] => [2,2,3]
[3,6,1,4,2,7,5] => [2,2,2,1]
[3,6,1,4,5,2,7] => [2,3,2]
[3,6,1,4,5,7,2] => [2,4,1]
[3,6,1,4,7,2,5] => [2,3,2]
[3,6,1,4,7,5,2] => [2,3,1,1]
[3,6,1,5,2,4,7] => [2,2,3]
[3,6,1,5,2,7,4] => [2,2,2,1]
[3,6,1,5,4,2,7] => [2,2,1,2]
[3,6,1,5,4,7,2] => [2,2,2,1]
[3,6,1,5,7,2,4] => [2,3,2]
[3,6,1,5,7,4,2] => [2,3,1,1]
[3,6,1,7,2,4,5] => [2,2,3]
[3,6,1,7,2,5,4] => [2,2,2,1]
[3,6,1,7,4,2,5] => [2,2,1,2]
[3,6,1,7,4,5,2] => [2,2,2,1]
[3,6,1,7,5,2,4] => [2,2,1,2]
[3,6,1,7,5,4,2] => [2,2,1,1,1]
[3,6,2,1,4,5,7] => [2,1,4]
[3,6,2,1,4,7,5] => [2,1,3,1]
[3,6,2,1,5,4,7] => [2,1,2,2]
[3,6,2,1,5,7,4] => [2,1,3,1]
[3,6,2,1,7,4,5] => [2,1,2,2]
[3,6,2,1,7,5,4] => [2,1,2,1,1]
[3,6,2,4,1,5,7] => [2,2,3]
[3,6,2,4,1,7,5] => [2,2,2,1]
[3,6,2,4,5,1,7] => [2,3,2]
[3,6,2,4,5,7,1] => [2,4,1]
[3,6,2,4,7,1,5] => [2,3,2]
[3,6,2,4,7,5,1] => [2,3,1,1]
[3,6,2,5,1,4,7] => [2,2,3]
[3,6,2,5,1,7,4] => [2,2,2,1]
[3,6,2,5,4,1,7] => [2,2,1,2]
[3,6,2,5,4,7,1] => [2,2,2,1]
[3,6,2,5,7,1,4] => [2,3,2]
[3,6,2,5,7,4,1] => [2,3,1,1]
[3,6,2,7,1,4,5] => [2,2,3]
[3,6,2,7,1,5,4] => [2,2,2,1]
[3,6,2,7,4,1,5] => [2,2,1,2]
[3,6,2,7,4,5,1] => [2,2,2,1]
[3,6,2,7,5,1,4] => [2,2,1,2]
[3,6,2,7,5,4,1] => [2,2,1,1,1]
[3,6,4,1,2,5,7] => [2,1,4]
[3,6,4,1,2,7,5] => [2,1,3,1]
[3,6,4,1,5,2,7] => [2,1,2,2]
[3,6,4,1,5,7,2] => [2,1,3,1]
[3,6,4,1,7,2,5] => [2,1,2,2]
[3,6,4,1,7,5,2] => [2,1,2,1,1]
[3,6,4,2,1,5,7] => [2,1,1,3]
[3,6,4,2,1,7,5] => [2,1,1,2,1]
[3,6,4,2,5,1,7] => [2,1,2,2]
[3,6,4,2,5,7,1] => [2,1,3,1]
[3,6,4,2,7,1,5] => [2,1,2,2]
[3,6,4,2,7,5,1] => [2,1,2,1,1]
[3,6,4,5,1,2,7] => [2,2,3]
[3,6,4,5,1,7,2] => [2,2,2,1]
[3,6,4,5,2,1,7] => [2,2,1,2]
[3,6,4,5,2,7,1] => [2,2,2,1]
[3,6,4,5,7,1,2] => [2,3,2]
[3,6,4,5,7,2,1] => [2,3,1,1]
[3,6,4,7,1,2,5] => [2,2,3]
[3,6,4,7,1,5,2] => [2,2,2,1]
[3,6,4,7,2,1,5] => [2,2,1,2]
[3,6,4,7,2,5,1] => [2,2,2,1]
[3,6,4,7,5,1,2] => [2,2,1,2]
[3,6,4,7,5,2,1] => [2,2,1,1,1]
[3,6,5,1,2,4,7] => [2,1,4]
[3,6,5,1,2,7,4] => [2,1,3,1]
[3,6,5,1,4,2,7] => [2,1,2,2]
[3,6,5,1,4,7,2] => [2,1,3,1]
[3,6,5,1,7,2,4] => [2,1,2,2]
[3,6,5,1,7,4,2] => [2,1,2,1,1]
[3,6,5,2,1,4,7] => [2,1,1,3]
[3,6,5,2,1,7,4] => [2,1,1,2,1]
[3,6,5,2,4,1,7] => [2,1,2,2]
[3,6,5,2,4,7,1] => [2,1,3,1]
[3,6,5,2,7,1,4] => [2,1,2,2]
[3,6,5,2,7,4,1] => [2,1,2,1,1]
[3,6,5,4,1,2,7] => [2,1,1,3]
[3,6,5,4,1,7,2] => [2,1,1,2,1]
[3,6,5,4,2,1,7] => [2,1,1,1,2]
[3,6,5,4,2,7,1] => [2,1,1,2,1]
[3,6,5,4,7,1,2] => [2,1,2,2]
[3,6,5,4,7,2,1] => [2,1,2,1,1]
[3,6,5,7,1,2,4] => [2,2,3]
[3,6,5,7,1,4,2] => [2,2,2,1]
[3,6,5,7,2,1,4] => [2,2,1,2]
[3,6,5,7,2,4,1] => [2,2,2,1]
[3,6,5,7,4,1,2] => [2,2,1,2]
[3,6,5,7,4,2,1] => [2,2,1,1,1]
[3,6,7,1,2,4,5] => [3,4]
[3,6,7,1,2,5,4] => [3,3,1]
[3,6,7,1,4,2,5] => [3,2,2]
[3,6,7,1,4,5,2] => [3,3,1]
[3,6,7,1,5,2,4] => [3,2,2]
[3,6,7,1,5,4,2] => [3,2,1,1]
[3,6,7,2,1,4,5] => [3,1,3]
[3,6,7,2,1,5,4] => [3,1,2,1]
[3,6,7,2,4,1,5] => [3,2,2]
[3,6,7,2,4,5,1] => [3,3,1]
[3,6,7,2,5,1,4] => [3,2,2]
[3,6,7,2,5,4,1] => [3,2,1,1]
[3,6,7,4,1,2,5] => [3,1,3]
[3,6,7,4,1,5,2] => [3,1,2,1]
[3,6,7,4,2,1,5] => [3,1,1,2]
[3,6,7,4,2,5,1] => [3,1,2,1]
[3,6,7,4,5,1,2] => [3,2,2]
[3,6,7,4,5,2,1] => [3,2,1,1]
[3,6,7,5,1,2,4] => [3,1,3]
[3,6,7,5,1,4,2] => [3,1,2,1]
[3,6,7,5,2,1,4] => [3,1,1,2]
[3,6,7,5,2,4,1] => [3,1,2,1]
[3,6,7,5,4,1,2] => [3,1,1,2]
[3,6,7,5,4,2,1] => [3,1,1,1,1]
[3,7,1,2,4,5,6] => [2,5]
[3,7,1,2,4,6,5] => [2,4,1]
[3,7,1,2,5,4,6] => [2,3,2]
[3,7,1,2,5,6,4] => [2,4,1]
[3,7,1,2,6,4,5] => [2,3,2]
[3,7,1,2,6,5,4] => [2,3,1,1]
[3,7,1,4,2,5,6] => [2,2,3]
[3,7,1,4,2,6,5] => [2,2,2,1]
[3,7,1,4,5,2,6] => [2,3,2]
[3,7,1,4,5,6,2] => [2,4,1]
[3,7,1,4,6,2,5] => [2,3,2]
[3,7,1,4,6,5,2] => [2,3,1,1]
[3,7,1,5,2,4,6] => [2,2,3]
[3,7,1,5,2,6,4] => [2,2,2,1]
[3,7,1,5,4,2,6] => [2,2,1,2]
[3,7,1,5,4,6,2] => [2,2,2,1]
[3,7,1,5,6,2,4] => [2,3,2]
[3,7,1,5,6,4,2] => [2,3,1,1]
[3,7,1,6,2,4,5] => [2,2,3]
[3,7,1,6,2,5,4] => [2,2,2,1]
[3,7,1,6,4,2,5] => [2,2,1,2]
[3,7,1,6,4,5,2] => [2,2,2,1]
[3,7,1,6,5,2,4] => [2,2,1,2]
[3,7,1,6,5,4,2] => [2,2,1,1,1]
[3,7,2,1,4,5,6] => [2,1,4]
[3,7,2,1,4,6,5] => [2,1,3,1]
[3,7,2,1,5,4,6] => [2,1,2,2]
[3,7,2,1,5,6,4] => [2,1,3,1]
[3,7,2,1,6,4,5] => [2,1,2,2]
[3,7,2,1,6,5,4] => [2,1,2,1,1]
[3,7,2,4,1,5,6] => [2,2,3]
[3,7,2,4,1,6,5] => [2,2,2,1]
[3,7,2,4,5,1,6] => [2,3,2]
[3,7,2,4,5,6,1] => [2,4,1]
[3,7,2,4,6,1,5] => [2,3,2]
[3,7,2,4,6,5,1] => [2,3,1,1]
[3,7,2,5,1,4,6] => [2,2,3]
[3,7,2,5,1,6,4] => [2,2,2,1]
[3,7,2,5,4,1,6] => [2,2,1,2]
[3,7,2,5,4,6,1] => [2,2,2,1]
[3,7,2,5,6,1,4] => [2,3,2]
[3,7,2,5,6,4,1] => [2,3,1,1]
[3,7,2,6,1,4,5] => [2,2,3]
[3,7,2,6,1,5,4] => [2,2,2,1]
[3,7,2,6,4,1,5] => [2,2,1,2]
[3,7,2,6,4,5,1] => [2,2,2,1]
[3,7,2,6,5,1,4] => [2,2,1,2]
[3,7,2,6,5,4,1] => [2,2,1,1,1]
[3,7,4,1,2,5,6] => [2,1,4]
[3,7,4,1,2,6,5] => [2,1,3,1]
[3,7,4,1,5,2,6] => [2,1,2,2]
[3,7,4,1,5,6,2] => [2,1,3,1]
[3,7,4,1,6,2,5] => [2,1,2,2]
[3,7,4,1,6,5,2] => [2,1,2,1,1]
[3,7,4,2,1,5,6] => [2,1,1,3]
[3,7,4,2,1,6,5] => [2,1,1,2,1]
[3,7,4,2,5,1,6] => [2,1,2,2]
[3,7,4,2,5,6,1] => [2,1,3,1]
[3,7,4,2,6,1,5] => [2,1,2,2]
[3,7,4,2,6,5,1] => [2,1,2,1,1]
[3,7,4,5,1,2,6] => [2,2,3]
[3,7,4,5,1,6,2] => [2,2,2,1]
[3,7,4,5,2,1,6] => [2,2,1,2]
[3,7,4,5,2,6,1] => [2,2,2,1]
[3,7,4,5,6,1,2] => [2,3,2]
[3,7,4,5,6,2,1] => [2,3,1,1]
[3,7,4,6,1,2,5] => [2,2,3]
[3,7,4,6,1,5,2] => [2,2,2,1]
[3,7,4,6,2,1,5] => [2,2,1,2]
[3,7,4,6,2,5,1] => [2,2,2,1]
[3,7,4,6,5,1,2] => [2,2,1,2]
[3,7,4,6,5,2,1] => [2,2,1,1,1]
[3,7,5,1,2,4,6] => [2,1,4]
[3,7,5,1,2,6,4] => [2,1,3,1]
[3,7,5,1,4,2,6] => [2,1,2,2]
[3,7,5,1,4,6,2] => [2,1,3,1]
[3,7,5,1,6,2,4] => [2,1,2,2]
[3,7,5,1,6,4,2] => [2,1,2,1,1]
[3,7,5,2,1,4,6] => [2,1,1,3]
[3,7,5,2,1,6,4] => [2,1,1,2,1]
[3,7,5,2,4,1,6] => [2,1,2,2]
[3,7,5,2,4,6,1] => [2,1,3,1]
[3,7,5,2,6,1,4] => [2,1,2,2]
[3,7,5,2,6,4,1] => [2,1,2,1,1]
[3,7,5,4,1,2,6] => [2,1,1,3]
[3,7,5,4,1,6,2] => [2,1,1,2,1]
[3,7,5,4,2,1,6] => [2,1,1,1,2]
[3,7,5,4,2,6,1] => [2,1,1,2,1]
[3,7,5,4,6,1,2] => [2,1,2,2]
[3,7,5,4,6,2,1] => [2,1,2,1,1]
[3,7,5,6,1,2,4] => [2,2,3]
[3,7,5,6,1,4,2] => [2,2,2,1]
[3,7,5,6,2,1,4] => [2,2,1,2]
[3,7,5,6,2,4,1] => [2,2,2,1]
[3,7,5,6,4,1,2] => [2,2,1,2]
[3,7,5,6,4,2,1] => [2,2,1,1,1]
[3,7,6,1,2,4,5] => [2,1,4]
[3,7,6,1,2,5,4] => [2,1,3,1]
[3,7,6,1,4,2,5] => [2,1,2,2]
[3,7,6,1,4,5,2] => [2,1,3,1]
[3,7,6,1,5,2,4] => [2,1,2,2]
[3,7,6,1,5,4,2] => [2,1,2,1,1]
[3,7,6,2,1,4,5] => [2,1,1,3]
[3,7,6,2,1,5,4] => [2,1,1,2,1]
[3,7,6,2,4,1,5] => [2,1,2,2]
[3,7,6,2,4,5,1] => [2,1,3,1]
[3,7,6,2,5,1,4] => [2,1,2,2]
[3,7,6,2,5,4,1] => [2,1,2,1,1]
[3,7,6,4,1,2,5] => [2,1,1,3]
[3,7,6,4,1,5,2] => [2,1,1,2,1]
[3,7,6,4,2,1,5] => [2,1,1,1,2]
[3,7,6,4,2,5,1] => [2,1,1,2,1]
[3,7,6,4,5,1,2] => [2,1,2,2]
[3,7,6,4,5,2,1] => [2,1,2,1,1]
[3,7,6,5,1,2,4] => [2,1,1,3]
[3,7,6,5,1,4,2] => [2,1,1,2,1]
[3,7,6,5,2,1,4] => [2,1,1,1,2]
[3,7,6,5,2,4,1] => [2,1,1,2,1]
[3,7,6,5,4,1,2] => [2,1,1,1,2]
[3,7,6,5,4,2,1] => [2,1,1,1,1,1]
[4,1,2,3,5,6,7] => [1,6]
[4,1,2,3,5,7,6] => [1,5,1]
[4,1,2,3,6,5,7] => [1,4,2]
[4,1,2,3,6,7,5] => [1,5,1]
[4,1,2,3,7,5,6] => [1,4,2]
[4,1,2,3,7,6,5] => [1,4,1,1]
[4,1,2,5,3,6,7] => [1,3,3]
[4,1,2,5,3,7,6] => [1,3,2,1]
[4,1,2,5,6,3,7] => [1,4,2]
[4,1,2,5,6,7,3] => [1,5,1]
[4,1,2,5,7,3,6] => [1,4,2]
[4,1,2,5,7,6,3] => [1,4,1,1]
[4,1,2,6,3,5,7] => [1,3,3]
[4,1,2,6,3,7,5] => [1,3,2,1]
[4,1,2,6,5,3,7] => [1,3,1,2]
[4,1,2,6,5,7,3] => [1,3,2,1]
[4,1,2,6,7,3,5] => [1,4,2]
[4,1,2,6,7,5,3] => [1,4,1,1]
[4,1,2,7,3,5,6] => [1,3,3]
[4,1,2,7,3,6,5] => [1,3,2,1]
[4,1,2,7,5,3,6] => [1,3,1,2]
[4,1,2,7,5,6,3] => [1,3,2,1]
[4,1,2,7,6,3,5] => [1,3,1,2]
[4,1,2,7,6,5,3] => [1,3,1,1,1]
[4,1,3,2,5,6,7] => [1,2,4]
[4,1,3,2,5,7,6] => [1,2,3,1]
[4,1,3,2,6,5,7] => [1,2,2,2]
[4,1,3,2,6,7,5] => [1,2,3,1]
[4,1,3,2,7,5,6] => [1,2,2,2]
[4,1,3,2,7,6,5] => [1,2,2,1,1]
[4,1,3,5,2,6,7] => [1,3,3]
[4,1,3,5,2,7,6] => [1,3,2,1]
[4,1,3,5,6,2,7] => [1,4,2]
[4,1,3,5,6,7,2] => [1,5,1]
[4,1,3,5,7,2,6] => [1,4,2]
[4,1,3,5,7,6,2] => [1,4,1,1]
[4,1,3,6,2,5,7] => [1,3,3]
[4,1,3,6,2,7,5] => [1,3,2,1]
[4,1,3,6,5,2,7] => [1,3,1,2]
[4,1,3,6,5,7,2] => [1,3,2,1]
[4,1,3,6,7,2,5] => [1,4,2]
[4,1,3,6,7,5,2] => [1,4,1,1]
[4,1,3,7,2,5,6] => [1,3,3]
[4,1,3,7,2,6,5] => [1,3,2,1]
[4,1,3,7,5,2,6] => [1,3,1,2]
[4,1,3,7,5,6,2] => [1,3,2,1]
[4,1,3,7,6,2,5] => [1,3,1,2]
[4,1,3,7,6,5,2] => [1,3,1,1,1]
[4,1,5,2,3,6,7] => [1,2,4]
[4,1,5,2,3,7,6] => [1,2,3,1]
[4,1,5,2,6,3,7] => [1,2,2,2]
[4,1,5,2,6,7,3] => [1,2,3,1]
[4,1,5,2,7,3,6] => [1,2,2,2]
[4,1,5,2,7,6,3] => [1,2,2,1,1]
[4,1,5,3,2,6,7] => [1,2,1,3]
[4,1,5,3,2,7,6] => [1,2,1,2,1]
[4,1,5,3,6,2,7] => [1,2,2,2]
[4,1,5,3,6,7,2] => [1,2,3,1]
[4,1,5,3,7,2,6] => [1,2,2,2]
[4,1,5,3,7,6,2] => [1,2,2,1,1]
[4,1,5,6,2,3,7] => [1,3,3]
[4,1,5,6,2,7,3] => [1,3,2,1]
[4,1,5,6,3,2,7] => [1,3,1,2]
[4,1,5,6,3,7,2] => [1,3,2,1]
[4,1,5,6,7,2,3] => [1,4,2]
[4,1,5,6,7,3,2] => [1,4,1,1]
[4,1,5,7,2,3,6] => [1,3,3]
[4,1,5,7,2,6,3] => [1,3,2,1]
[4,1,5,7,3,2,6] => [1,3,1,2]
[4,1,5,7,3,6,2] => [1,3,2,1]
[4,1,5,7,6,2,3] => [1,3,1,2]
[4,1,5,7,6,3,2] => [1,3,1,1,1]
[4,1,6,2,3,5,7] => [1,2,4]
[4,1,6,2,3,7,5] => [1,2,3,1]
[4,1,6,2,5,3,7] => [1,2,2,2]
[4,1,6,2,5,7,3] => [1,2,3,1]
[4,1,6,2,7,3,5] => [1,2,2,2]
[4,1,6,2,7,5,3] => [1,2,2,1,1]
[4,1,6,3,2,5,7] => [1,2,1,3]
[4,1,6,3,2,7,5] => [1,2,1,2,1]
[4,1,6,3,5,2,7] => [1,2,2,2]
[4,1,6,3,5,7,2] => [1,2,3,1]
[4,1,6,3,7,2,5] => [1,2,2,2]
[4,1,6,3,7,5,2] => [1,2,2,1,1]
[4,1,6,5,2,3,7] => [1,2,1,3]
[4,1,6,5,2,7,3] => [1,2,1,2,1]
[4,1,6,5,3,2,7] => [1,2,1,1,2]
[4,1,6,5,3,7,2] => [1,2,1,2,1]
[4,1,6,5,7,2,3] => [1,2,2,2]
[4,1,6,5,7,3,2] => [1,2,2,1,1]
[4,1,6,7,2,3,5] => [1,3,3]
[4,1,6,7,2,5,3] => [1,3,2,1]
[4,1,6,7,3,2,5] => [1,3,1,2]
[4,1,6,7,3,5,2] => [1,3,2,1]
[4,1,6,7,5,2,3] => [1,3,1,2]
[4,1,6,7,5,3,2] => [1,3,1,1,1]
[4,1,7,2,3,5,6] => [1,2,4]
[4,1,7,2,3,6,5] => [1,2,3,1]
[4,1,7,2,5,3,6] => [1,2,2,2]
[4,1,7,2,5,6,3] => [1,2,3,1]
[4,1,7,2,6,3,5] => [1,2,2,2]
[4,1,7,2,6,5,3] => [1,2,2,1,1]
[4,1,7,3,2,5,6] => [1,2,1,3]
[4,1,7,3,2,6,5] => [1,2,1,2,1]
[4,1,7,3,5,2,6] => [1,2,2,2]
[4,1,7,3,5,6,2] => [1,2,3,1]
[4,1,7,3,6,2,5] => [1,2,2,2]
[4,1,7,3,6,5,2] => [1,2,2,1,1]
[4,1,7,5,2,3,6] => [1,2,1,3]
[4,1,7,5,2,6,3] => [1,2,1,2,1]
[4,1,7,5,3,2,6] => [1,2,1,1,2]
[4,1,7,5,3,6,2] => [1,2,1,2,1]
[4,1,7,5,6,2,3] => [1,2,2,2]
[4,1,7,5,6,3,2] => [1,2,2,1,1]
[4,1,7,6,2,3,5] => [1,2,1,3]
[4,1,7,6,2,5,3] => [1,2,1,2,1]
[4,1,7,6,3,2,5] => [1,2,1,1,2]
[4,1,7,6,3,5,2] => [1,2,1,2,1]
[4,1,7,6,5,2,3] => [1,2,1,1,2]
[4,1,7,6,5,3,2] => [1,2,1,1,1,1]
[4,2,1,3,5,6,7] => [1,1,5]
[4,2,1,3,5,7,6] => [1,1,4,1]
[4,2,1,3,6,5,7] => [1,1,3,2]
[4,2,1,3,6,7,5] => [1,1,4,1]
[4,2,1,3,7,5,6] => [1,1,3,2]
[4,2,1,3,7,6,5] => [1,1,3,1,1]
[4,2,1,5,3,6,7] => [1,1,2,3]
[4,2,1,5,3,7,6] => [1,1,2,2,1]
[4,2,1,5,6,3,7] => [1,1,3,2]
[4,2,1,5,6,7,3] => [1,1,4,1]
[4,2,1,5,7,3,6] => [1,1,3,2]
[4,2,1,5,7,6,3] => [1,1,3,1,1]
[4,2,1,6,3,5,7] => [1,1,2,3]
[4,2,1,6,3,7,5] => [1,1,2,2,1]
[4,2,1,6,5,3,7] => [1,1,2,1,2]
[4,2,1,6,5,7,3] => [1,1,2,2,1]
[4,2,1,6,7,3,5] => [1,1,3,2]
[4,2,1,6,7,5,3] => [1,1,3,1,1]
[4,2,1,7,3,5,6] => [1,1,2,3]
[4,2,1,7,3,6,5] => [1,1,2,2,1]
[4,2,1,7,5,3,6] => [1,1,2,1,2]
[4,2,1,7,5,6,3] => [1,1,2,2,1]
[4,2,1,7,6,3,5] => [1,1,2,1,2]
[4,2,1,7,6,5,3] => [1,1,2,1,1,1]
[4,2,3,1,5,6,7] => [1,2,4]
[4,2,3,1,5,7,6] => [1,2,3,1]
[4,2,3,1,6,5,7] => [1,2,2,2]
[4,2,3,1,6,7,5] => [1,2,3,1]
[4,2,3,1,7,5,6] => [1,2,2,2]
[4,2,3,1,7,6,5] => [1,2,2,1,1]
[4,2,3,5,1,6,7] => [1,3,3]
[4,2,3,5,1,7,6] => [1,3,2,1]
[4,2,3,5,6,1,7] => [1,4,2]
[4,2,3,5,6,7,1] => [1,5,1]
[4,2,3,5,7,1,6] => [1,4,2]
[4,2,3,5,7,6,1] => [1,4,1,1]
[4,2,3,6,1,5,7] => [1,3,3]
[4,2,3,6,1,7,5] => [1,3,2,1]
[4,2,3,6,5,1,7] => [1,3,1,2]
[4,2,3,6,5,7,1] => [1,3,2,1]
[4,2,3,6,7,1,5] => [1,4,2]
[4,2,3,6,7,5,1] => [1,4,1,1]
[4,2,3,7,1,5,6] => [1,3,3]
[4,2,3,7,1,6,5] => [1,3,2,1]
[4,2,3,7,5,1,6] => [1,3,1,2]
[4,2,3,7,5,6,1] => [1,3,2,1]
[4,2,3,7,6,1,5] => [1,3,1,2]
[4,2,3,7,6,5,1] => [1,3,1,1,1]
[4,2,5,1,3,6,7] => [1,2,4]
[4,2,5,1,3,7,6] => [1,2,3,1]
[4,2,5,1,6,3,7] => [1,2,2,2]
[4,2,5,1,6,7,3] => [1,2,3,1]
[4,2,5,1,7,3,6] => [1,2,2,2]
[4,2,5,1,7,6,3] => [1,2,2,1,1]
[4,2,5,3,1,6,7] => [1,2,1,3]
[4,2,5,3,1,7,6] => [1,2,1,2,1]
[4,2,5,3,6,1,7] => [1,2,2,2]
[4,2,5,3,6,7,1] => [1,2,3,1]
[4,2,5,3,7,1,6] => [1,2,2,2]
[4,2,5,3,7,6,1] => [1,2,2,1,1]
[4,2,5,6,1,3,7] => [1,3,3]
[4,2,5,6,1,7,3] => [1,3,2,1]
[4,2,5,6,3,1,7] => [1,3,1,2]
[4,2,5,6,3,7,1] => [1,3,2,1]
[4,2,5,6,7,1,3] => [1,4,2]
[4,2,5,6,7,3,1] => [1,4,1,1]
[4,2,5,7,1,3,6] => [1,3,3]
[4,2,5,7,1,6,3] => [1,3,2,1]
[4,2,5,7,3,1,6] => [1,3,1,2]
[4,2,5,7,3,6,1] => [1,3,2,1]
[4,2,5,7,6,1,3] => [1,3,1,2]
[4,2,5,7,6,3,1] => [1,3,1,1,1]
[4,2,6,1,3,5,7] => [1,2,4]
[4,2,6,1,3,7,5] => [1,2,3,1]
[4,2,6,1,5,3,7] => [1,2,2,2]
[4,2,6,1,5,7,3] => [1,2,3,1]
[4,2,6,1,7,3,5] => [1,2,2,2]
[4,2,6,1,7,5,3] => [1,2,2,1,1]
[4,2,6,3,1,5,7] => [1,2,1,3]
[4,2,6,3,1,7,5] => [1,2,1,2,1]
[4,2,6,3,5,1,7] => [1,2,2,2]
[4,2,6,3,5,7,1] => [1,2,3,1]
[4,2,6,3,7,1,5] => [1,2,2,2]
[4,2,6,3,7,5,1] => [1,2,2,1,1]
[4,2,6,5,1,3,7] => [1,2,1,3]
[4,2,6,5,1,7,3] => [1,2,1,2,1]
[4,2,6,5,3,1,7] => [1,2,1,1,2]
[4,2,6,5,3,7,1] => [1,2,1,2,1]
[4,2,6,5,7,1,3] => [1,2,2,2]
[4,2,6,5,7,3,1] => [1,2,2,1,1]
[4,2,6,7,1,3,5] => [1,3,3]
[4,2,6,7,1,5,3] => [1,3,2,1]
[4,2,6,7,3,1,5] => [1,3,1,2]
[4,2,6,7,3,5,1] => [1,3,2,1]
[4,2,6,7,5,1,3] => [1,3,1,2]
[4,2,6,7,5,3,1] => [1,3,1,1,1]
[4,2,7,1,3,5,6] => [1,2,4]
[4,2,7,1,3,6,5] => [1,2,3,1]
[4,2,7,1,5,3,6] => [1,2,2,2]
[4,2,7,1,5,6,3] => [1,2,3,1]
[4,2,7,1,6,3,5] => [1,2,2,2]
[4,2,7,1,6,5,3] => [1,2,2,1,1]
[4,2,7,3,1,5,6] => [1,2,1,3]
[4,2,7,3,1,6,5] => [1,2,1,2,1]
[4,2,7,3,5,1,6] => [1,2,2,2]
[4,2,7,3,5,6,1] => [1,2,3,1]
[4,2,7,3,6,1,5] => [1,2,2,2]
[4,2,7,3,6,5,1] => [1,2,2,1,1]
[4,2,7,5,1,3,6] => [1,2,1,3]
[4,2,7,5,1,6,3] => [1,2,1,2,1]
[4,2,7,5,3,1,6] => [1,2,1,1,2]
[4,2,7,5,3,6,1] => [1,2,1,2,1]
[4,2,7,5,6,1,3] => [1,2,2,2]
[4,2,7,5,6,3,1] => [1,2,2,1,1]
[4,2,7,6,1,3,5] => [1,2,1,3]
[4,2,7,6,1,5,3] => [1,2,1,2,1]
[4,2,7,6,3,1,5] => [1,2,1,1,2]
[4,2,7,6,3,5,1] => [1,2,1,2,1]
[4,2,7,6,5,1,3] => [1,2,1,1,2]
[4,2,7,6,5,3,1] => [1,2,1,1,1,1]
[4,3,1,2,5,6,7] => [1,1,5]
[4,3,1,2,5,7,6] => [1,1,4,1]
[4,3,1,2,6,5,7] => [1,1,3,2]
[4,3,1,2,6,7,5] => [1,1,4,1]
[4,3,1,2,7,5,6] => [1,1,3,2]
[4,3,1,2,7,6,5] => [1,1,3,1,1]
[4,3,1,5,2,6,7] => [1,1,2,3]
[4,3,1,5,2,7,6] => [1,1,2,2,1]
[4,3,1,5,6,2,7] => [1,1,3,2]
[4,3,1,5,6,7,2] => [1,1,4,1]
[4,3,1,5,7,2,6] => [1,1,3,2]
[4,3,1,5,7,6,2] => [1,1,3,1,1]
[4,3,1,6,2,5,7] => [1,1,2,3]
[4,3,1,6,2,7,5] => [1,1,2,2,1]
[4,3,1,6,5,2,7] => [1,1,2,1,2]
[4,3,1,6,5,7,2] => [1,1,2,2,1]
[4,3,1,6,7,2,5] => [1,1,3,2]
[4,3,1,6,7,5,2] => [1,1,3,1,1]
[4,3,1,7,2,5,6] => [1,1,2,3]
[4,3,1,7,2,6,5] => [1,1,2,2,1]
[4,3,1,7,5,2,6] => [1,1,2,1,2]
[4,3,1,7,5,6,2] => [1,1,2,2,1]
[4,3,1,7,6,2,5] => [1,1,2,1,2]
[4,3,1,7,6,5,2] => [1,1,2,1,1,1]
[4,3,2,1,5,6,7] => [1,1,1,4]
[4,3,2,1,5,7,6] => [1,1,1,3,1]
[4,3,2,1,6,5,7] => [1,1,1,2,2]
[4,3,2,1,6,7,5] => [1,1,1,3,1]
[4,3,2,1,7,5,6] => [1,1,1,2,2]
[4,3,2,1,7,6,5] => [1,1,1,2,1,1]
[4,3,2,5,1,6,7] => [1,1,2,3]
[4,3,2,5,1,7,6] => [1,1,2,2,1]
[4,3,2,5,6,1,7] => [1,1,3,2]
[4,3,2,5,6,7,1] => [1,1,4,1]
[4,3,2,5,7,1,6] => [1,1,3,2]
[4,3,2,5,7,6,1] => [1,1,3,1,1]
[4,3,2,6,1,5,7] => [1,1,2,3]
[4,3,2,6,1,7,5] => [1,1,2,2,1]
[4,3,2,6,5,1,7] => [1,1,2,1,2]
[4,3,2,6,5,7,1] => [1,1,2,2,1]
[4,3,2,6,7,1,5] => [1,1,3,2]
[4,3,2,6,7,5,1] => [1,1,3,1,1]
[4,3,2,7,1,5,6] => [1,1,2,3]
[4,3,2,7,1,6,5] => [1,1,2,2,1]
[4,3,2,7,5,1,6] => [1,1,2,1,2]
[4,3,2,7,5,6,1] => [1,1,2,2,1]
[4,3,2,7,6,1,5] => [1,1,2,1,2]
[4,3,2,7,6,5,1] => [1,1,2,1,1,1]
[4,3,5,1,2,6,7] => [1,2,4]
[4,3,5,1,2,7,6] => [1,2,3,1]
[4,3,5,1,6,2,7] => [1,2,2,2]
[4,3,5,1,6,7,2] => [1,2,3,1]
[4,3,5,1,7,2,6] => [1,2,2,2]
[4,3,5,1,7,6,2] => [1,2,2,1,1]
[4,3,5,2,1,6,7] => [1,2,1,3]
[4,3,5,2,1,7,6] => [1,2,1,2,1]
[4,3,5,2,6,1,7] => [1,2,2,2]
[4,3,5,2,6,7,1] => [1,2,3,1]
[4,3,5,2,7,1,6] => [1,2,2,2]
[4,3,5,2,7,6,1] => [1,2,2,1,1]
[4,3,5,6,1,2,7] => [1,3,3]
[4,3,5,6,1,7,2] => [1,3,2,1]
[4,3,5,6,2,1,7] => [1,3,1,2]
[4,3,5,6,2,7,1] => [1,3,2,1]
[4,3,5,6,7,1,2] => [1,4,2]
[4,3,5,6,7,2,1] => [1,4,1,1]
[4,3,5,7,1,2,6] => [1,3,3]
[4,3,5,7,1,6,2] => [1,3,2,1]
[4,3,5,7,2,1,6] => [1,3,1,2]
[4,3,5,7,2,6,1] => [1,3,2,1]
[4,3,5,7,6,1,2] => [1,3,1,2]
[4,3,5,7,6,2,1] => [1,3,1,1,1]
[4,3,6,1,2,5,7] => [1,2,4]
[4,3,6,1,2,7,5] => [1,2,3,1]
[4,3,6,1,5,2,7] => [1,2,2,2]
[4,3,6,1,5,7,2] => [1,2,3,1]
[4,3,6,1,7,2,5] => [1,2,2,2]
[4,3,6,1,7,5,2] => [1,2,2,1,1]
[4,3,6,2,1,5,7] => [1,2,1,3]
[4,3,6,2,1,7,5] => [1,2,1,2,1]
[4,3,6,2,5,1,7] => [1,2,2,2]
[4,3,6,2,5,7,1] => [1,2,3,1]
[4,3,6,2,7,1,5] => [1,2,2,2]
[4,3,6,2,7,5,1] => [1,2,2,1,1]
[4,3,6,5,1,2,7] => [1,2,1,3]
[4,3,6,5,1,7,2] => [1,2,1,2,1]
[4,3,6,5,2,1,7] => [1,2,1,1,2]
[4,3,6,5,2,7,1] => [1,2,1,2,1]
[4,3,6,5,7,1,2] => [1,2,2,2]
[4,3,6,5,7,2,1] => [1,2,2,1,1]
[4,3,6,7,1,2,5] => [1,3,3]
[4,3,6,7,1,5,2] => [1,3,2,1]
[4,3,6,7,2,1,5] => [1,3,1,2]
[4,3,6,7,2,5,1] => [1,3,2,1]
[4,3,6,7,5,1,2] => [1,3,1,2]
[4,3,6,7,5,2,1] => [1,3,1,1,1]
[4,3,7,1,2,5,6] => [1,2,4]
[4,3,7,1,2,6,5] => [1,2,3,1]
[4,3,7,1,5,2,6] => [1,2,2,2]
[4,3,7,1,5,6,2] => [1,2,3,1]
[4,3,7,1,6,2,5] => [1,2,2,2]
[4,3,7,1,6,5,2] => [1,2,2,1,1]
[4,3,7,2,1,5,6] => [1,2,1,3]
[4,3,7,2,1,6,5] => [1,2,1,2,1]
[4,3,7,2,5,1,6] => [1,2,2,2]
[4,3,7,2,5,6,1] => [1,2,3,1]
[4,3,7,2,6,1,5] => [1,2,2,2]
[4,3,7,2,6,5,1] => [1,2,2,1,1]
[4,3,7,5,1,2,6] => [1,2,1,3]
[4,3,7,5,1,6,2] => [1,2,1,2,1]
[4,3,7,5,2,1,6] => [1,2,1,1,2]
[4,3,7,5,2,6,1] => [1,2,1,2,1]
[4,3,7,5,6,1,2] => [1,2,2,2]
[4,3,7,5,6,2,1] => [1,2,2,1,1]
[4,3,7,6,1,2,5] => [1,2,1,3]
[4,3,7,6,1,5,2] => [1,2,1,2,1]
[4,3,7,6,2,1,5] => [1,2,1,1,2]
[4,3,7,6,2,5,1] => [1,2,1,2,1]
[4,3,7,6,5,1,2] => [1,2,1,1,2]
[4,3,7,6,5,2,1] => [1,2,1,1,1,1]
[4,5,1,2,3,6,7] => [2,5]
[4,5,1,2,3,7,6] => [2,4,1]
[4,5,1,2,6,3,7] => [2,3,2]
[4,5,1,2,6,7,3] => [2,4,1]
[4,5,1,2,7,3,6] => [2,3,2]
[4,5,1,2,7,6,3] => [2,3,1,1]
[4,5,1,3,2,6,7] => [2,2,3]
[4,5,1,3,2,7,6] => [2,2,2,1]
[4,5,1,3,6,2,7] => [2,3,2]
[4,5,1,3,6,7,2] => [2,4,1]
[4,5,1,3,7,2,6] => [2,3,2]
[4,5,1,3,7,6,2] => [2,3,1,1]
[4,5,1,6,2,3,7] => [2,2,3]
[4,5,1,6,2,7,3] => [2,2,2,1]
[4,5,1,6,3,2,7] => [2,2,1,2]
[4,5,1,6,3,7,2] => [2,2,2,1]
[4,5,1,6,7,2,3] => [2,3,2]
[4,5,1,6,7,3,2] => [2,3,1,1]
[4,5,1,7,2,3,6] => [2,2,3]
[4,5,1,7,2,6,3] => [2,2,2,1]
[4,5,1,7,3,2,6] => [2,2,1,2]
[4,5,1,7,3,6,2] => [2,2,2,1]
[4,5,1,7,6,2,3] => [2,2,1,2]
[4,5,1,7,6,3,2] => [2,2,1,1,1]
[4,5,2,1,3,6,7] => [2,1,4]
[4,5,2,1,3,7,6] => [2,1,3,1]
[4,5,2,1,6,3,7] => [2,1,2,2]
[4,5,2,1,6,7,3] => [2,1,3,1]
[4,5,2,1,7,3,6] => [2,1,2,2]
[4,5,2,1,7,6,3] => [2,1,2,1,1]
[4,5,2,3,1,6,7] => [2,2,3]
[4,5,2,3,1,7,6] => [2,2,2,1]
[4,5,2,3,6,1,7] => [2,3,2]
[4,5,2,3,6,7,1] => [2,4,1]
[4,5,2,3,7,1,6] => [2,3,2]
[4,5,2,3,7,6,1] => [2,3,1,1]
[4,5,2,6,1,3,7] => [2,2,3]
[4,5,2,6,1,7,3] => [2,2,2,1]
[4,5,2,6,3,1,7] => [2,2,1,2]
[4,5,2,6,3,7,1] => [2,2,2,1]
[4,5,2,6,7,1,3] => [2,3,2]
[4,5,2,6,7,3,1] => [2,3,1,1]
[4,5,2,7,1,3,6] => [2,2,3]
[4,5,2,7,1,6,3] => [2,2,2,1]
[4,5,2,7,3,1,6] => [2,2,1,2]
[4,5,2,7,3,6,1] => [2,2,2,1]
[4,5,2,7,6,1,3] => [2,2,1,2]
[4,5,2,7,6,3,1] => [2,2,1,1,1]
[4,5,3,1,2,6,7] => [2,1,4]
[4,5,3,1,2,7,6] => [2,1,3,1]
[4,5,3,1,6,2,7] => [2,1,2,2]
[4,5,3,1,6,7,2] => [2,1,3,1]
[4,5,3,1,7,2,6] => [2,1,2,2]
[4,5,3,1,7,6,2] => [2,1,2,1,1]
[4,5,3,2,1,6,7] => [2,1,1,3]
[4,5,3,2,1,7,6] => [2,1,1,2,1]
[4,5,3,2,6,1,7] => [2,1,2,2]
[4,5,3,2,6,7,1] => [2,1,3,1]
[4,5,3,2,7,1,6] => [2,1,2,2]
[4,5,3,2,7,6,1] => [2,1,2,1,1]
[4,5,3,6,1,2,7] => [2,2,3]
[4,5,3,6,1,7,2] => [2,2,2,1]
[4,5,3,6,2,1,7] => [2,2,1,2]
[4,5,3,6,2,7,1] => [2,2,2,1]
[4,5,3,6,7,1,2] => [2,3,2]
[4,5,3,6,7,2,1] => [2,3,1,1]
[4,5,3,7,1,2,6] => [2,2,3]
[4,5,3,7,1,6,2] => [2,2,2,1]
[4,5,3,7,2,1,6] => [2,2,1,2]
[4,5,3,7,2,6,1] => [2,2,2,1]
[4,5,3,7,6,1,2] => [2,2,1,2]
[4,5,3,7,6,2,1] => [2,2,1,1,1]
[4,5,6,1,2,3,7] => [3,4]
[4,5,6,1,2,7,3] => [3,3,1]
[4,5,6,1,3,2,7] => [3,2,2]
[4,5,6,1,3,7,2] => [3,3,1]
[4,5,6,1,7,2,3] => [3,2,2]
[4,5,6,1,7,3,2] => [3,2,1,1]
[4,5,6,2,1,3,7] => [3,1,3]
[4,5,6,2,1,7,3] => [3,1,2,1]
[4,5,6,2,3,1,7] => [3,2,2]
[4,5,6,2,3,7,1] => [3,3,1]
[4,5,6,2,7,1,3] => [3,2,2]
[4,5,6,2,7,3,1] => [3,2,1,1]
[4,5,6,3,1,2,7] => [3,1,3]
[4,5,6,3,1,7,2] => [3,1,2,1]
[4,5,6,3,2,1,7] => [3,1,1,2]
[4,5,6,3,2,7,1] => [3,1,2,1]
[4,5,6,3,7,1,2] => [3,2,2]
[4,5,6,3,7,2,1] => [3,2,1,1]
[4,5,6,7,1,2,3] => [4,3]
[4,5,6,7,1,3,2] => [4,2,1]
[4,5,6,7,2,1,3] => [4,1,2]
[4,5,6,7,2,3,1] => [4,2,1]
[4,5,6,7,3,1,2] => [4,1,2]
[4,5,6,7,3,2,1] => [4,1,1,1]
[4,5,7,1,2,3,6] => [3,4]
[4,5,7,1,2,6,3] => [3,3,1]
[4,5,7,1,3,2,6] => [3,2,2]
[4,5,7,1,3,6,2] => [3,3,1]
[4,5,7,1,6,2,3] => [3,2,2]
[4,5,7,1,6,3,2] => [3,2,1,1]
[4,5,7,2,1,3,6] => [3,1,3]
[4,5,7,2,1,6,3] => [3,1,2,1]
[4,5,7,2,3,1,6] => [3,2,2]
[4,5,7,2,3,6,1] => [3,3,1]
[4,5,7,2,6,1,3] => [3,2,2]
[4,5,7,2,6,3,1] => [3,2,1,1]
[4,5,7,3,1,2,6] => [3,1,3]
[4,5,7,3,1,6,2] => [3,1,2,1]
[4,5,7,3,2,1,6] => [3,1,1,2]
[4,5,7,3,2,6,1] => [3,1,2,1]
[4,5,7,3,6,1,2] => [3,2,2]
[4,5,7,3,6,2,1] => [3,2,1,1]
[4,5,7,6,1,2,3] => [3,1,3]
[4,5,7,6,1,3,2] => [3,1,2,1]
[4,5,7,6,2,1,3] => [3,1,1,2]
[4,5,7,6,2,3,1] => [3,1,2,1]
[4,5,7,6,3,1,2] => [3,1,1,2]
[4,5,7,6,3,2,1] => [3,1,1,1,1]
[4,6,1,2,3,5,7] => [2,5]
[4,6,1,2,3,7,5] => [2,4,1]
[4,6,1,2,5,3,7] => [2,3,2]
[4,6,1,2,5,7,3] => [2,4,1]
[4,6,1,2,7,3,5] => [2,3,2]
[4,6,1,2,7,5,3] => [2,3,1,1]
[4,6,1,3,2,5,7] => [2,2,3]
[4,6,1,3,2,7,5] => [2,2,2,1]
[4,6,1,3,5,2,7] => [2,3,2]
[4,6,1,3,5,7,2] => [2,4,1]
[4,6,1,3,7,2,5] => [2,3,2]
[4,6,1,3,7,5,2] => [2,3,1,1]
[4,6,1,5,2,3,7] => [2,2,3]
[4,6,1,5,2,7,3] => [2,2,2,1]
[4,6,1,5,3,2,7] => [2,2,1,2]
[4,6,1,5,3,7,2] => [2,2,2,1]
[4,6,1,5,7,2,3] => [2,3,2]
[4,6,1,5,7,3,2] => [2,3,1,1]
[4,6,1,7,2,3,5] => [2,2,3]
[4,6,1,7,2,5,3] => [2,2,2,1]
[4,6,1,7,3,2,5] => [2,2,1,2]
[4,6,1,7,3,5,2] => [2,2,2,1]
[4,6,1,7,5,2,3] => [2,2,1,2]
[4,6,1,7,5,3,2] => [2,2,1,1,1]
[4,6,2,1,3,5,7] => [2,1,4]
[4,6,2,1,3,7,5] => [2,1,3,1]
[4,6,2,1,5,3,7] => [2,1,2,2]
[4,6,2,1,5,7,3] => [2,1,3,1]
[4,6,2,1,7,3,5] => [2,1,2,2]
[4,6,2,1,7,5,3] => [2,1,2,1,1]
[4,6,2,3,1,5,7] => [2,2,3]
[4,6,2,3,1,7,5] => [2,2,2,1]
[4,6,2,3,5,1,7] => [2,3,2]
[4,6,2,3,5,7,1] => [2,4,1]
[4,6,2,3,7,1,5] => [2,3,2]
[4,6,2,3,7,5,1] => [2,3,1,1]
[4,6,2,5,1,3,7] => [2,2,3]
[4,6,2,5,1,7,3] => [2,2,2,1]
[4,6,2,5,3,1,7] => [2,2,1,2]
[4,6,2,5,3,7,1] => [2,2,2,1]
[4,6,2,5,7,1,3] => [2,3,2]
[4,6,2,5,7,3,1] => [2,3,1,1]
[4,6,2,7,1,3,5] => [2,2,3]
[4,6,2,7,1,5,3] => [2,2,2,1]
[4,6,2,7,3,1,5] => [2,2,1,2]
[4,6,2,7,3,5,1] => [2,2,2,1]
[4,6,2,7,5,1,3] => [2,2,1,2]
[4,6,2,7,5,3,1] => [2,2,1,1,1]
[4,6,3,1,2,5,7] => [2,1,4]
[4,6,3,1,2,7,5] => [2,1,3,1]
[4,6,3,1,5,2,7] => [2,1,2,2]
[4,6,3,1,5,7,2] => [2,1,3,1]
[4,6,3,1,7,2,5] => [2,1,2,2]
[4,6,3,1,7,5,2] => [2,1,2,1,1]
[4,6,3,2,1,5,7] => [2,1,1,3]
[4,6,3,2,1,7,5] => [2,1,1,2,1]
[4,6,3,2,5,1,7] => [2,1,2,2]
[4,6,3,2,5,7,1] => [2,1,3,1]
[4,6,3,2,7,1,5] => [2,1,2,2]
[4,6,3,2,7,5,1] => [2,1,2,1,1]
[4,6,3,5,1,2,7] => [2,2,3]
[4,6,3,5,1,7,2] => [2,2,2,1]
[4,6,3,5,2,1,7] => [2,2,1,2]
[4,6,3,5,2,7,1] => [2,2,2,1]
[4,6,3,5,7,1,2] => [2,3,2]
[4,6,3,5,7,2,1] => [2,3,1,1]
[4,6,3,7,1,2,5] => [2,2,3]
[4,6,3,7,1,5,2] => [2,2,2,1]
[4,6,3,7,2,1,5] => [2,2,1,2]
[4,6,3,7,2,5,1] => [2,2,2,1]
[4,6,3,7,5,1,2] => [2,2,1,2]
[4,6,3,7,5,2,1] => [2,2,1,1,1]
[4,6,5,1,2,3,7] => [2,1,4]
[4,6,5,1,2,7,3] => [2,1,3,1]
[4,6,5,1,3,2,7] => [2,1,2,2]
[4,6,5,1,3,7,2] => [2,1,3,1]
[4,6,5,1,7,2,3] => [2,1,2,2]
[4,6,5,1,7,3,2] => [2,1,2,1,1]
[4,6,5,2,1,3,7] => [2,1,1,3]
[4,6,5,2,1,7,3] => [2,1,1,2,1]
[4,6,5,2,3,1,7] => [2,1,2,2]
[4,6,5,2,3,7,1] => [2,1,3,1]
[4,6,5,2,7,1,3] => [2,1,2,2]
[4,6,5,2,7,3,1] => [2,1,2,1,1]
[4,6,5,3,1,2,7] => [2,1,1,3]
[4,6,5,3,1,7,2] => [2,1,1,2,1]
[4,6,5,3,2,1,7] => [2,1,1,1,2]
[4,6,5,3,2,7,1] => [2,1,1,2,1]
[4,6,5,3,7,1,2] => [2,1,2,2]
[4,6,5,3,7,2,1] => [2,1,2,1,1]
[4,6,5,7,1,2,3] => [2,2,3]
[4,6,5,7,1,3,2] => [2,2,2,1]
[4,6,5,7,2,1,3] => [2,2,1,2]
[4,6,5,7,2,3,1] => [2,2,2,1]
[4,6,5,7,3,1,2] => [2,2,1,2]
[4,6,5,7,3,2,1] => [2,2,1,1,1]
[4,6,7,1,2,3,5] => [3,4]
[4,6,7,1,2,5,3] => [3,3,1]
[4,6,7,1,3,2,5] => [3,2,2]
[4,6,7,1,3,5,2] => [3,3,1]
[4,6,7,1,5,2,3] => [3,2,2]
[4,6,7,1,5,3,2] => [3,2,1,1]
[4,6,7,2,1,3,5] => [3,1,3]
[4,6,7,2,1,5,3] => [3,1,2,1]
[4,6,7,2,3,1,5] => [3,2,2]
[4,6,7,2,3,5,1] => [3,3,1]
[4,6,7,2,5,1,3] => [3,2,2]
[4,6,7,2,5,3,1] => [3,2,1,1]
[4,6,7,3,1,2,5] => [3,1,3]
[4,6,7,3,1,5,2] => [3,1,2,1]
[4,6,7,3,2,1,5] => [3,1,1,2]
[4,6,7,3,2,5,1] => [3,1,2,1]
[4,6,7,3,5,1,2] => [3,2,2]
[4,6,7,3,5,2,1] => [3,2,1,1]
[4,6,7,5,1,2,3] => [3,1,3]
[4,6,7,5,1,3,2] => [3,1,2,1]
[4,6,7,5,2,1,3] => [3,1,1,2]
[4,6,7,5,2,3,1] => [3,1,2,1]
[4,6,7,5,3,1,2] => [3,1,1,2]
[4,6,7,5,3,2,1] => [3,1,1,1,1]
[4,7,1,2,3,5,6] => [2,5]
[4,7,1,2,3,6,5] => [2,4,1]
[4,7,1,2,5,3,6] => [2,3,2]
[4,7,1,2,5,6,3] => [2,4,1]
[4,7,1,2,6,3,5] => [2,3,2]
[4,7,1,2,6,5,3] => [2,3,1,1]
[4,7,1,3,2,5,6] => [2,2,3]
[4,7,1,3,2,6,5] => [2,2,2,1]
[4,7,1,3,5,2,6] => [2,3,2]
[4,7,1,3,5,6,2] => [2,4,1]
[4,7,1,3,6,2,5] => [2,3,2]
[4,7,1,3,6,5,2] => [2,3,1,1]
[4,7,1,5,2,3,6] => [2,2,3]
[4,7,1,5,2,6,3] => [2,2,2,1]
[4,7,1,5,3,2,6] => [2,2,1,2]
[4,7,1,5,3,6,2] => [2,2,2,1]
[4,7,1,5,6,2,3] => [2,3,2]
[4,7,1,5,6,3,2] => [2,3,1,1]
[4,7,1,6,2,3,5] => [2,2,3]
[4,7,1,6,2,5,3] => [2,2,2,1]
[4,7,1,6,3,2,5] => [2,2,1,2]
[4,7,1,6,3,5,2] => [2,2,2,1]
[4,7,1,6,5,2,3] => [2,2,1,2]
[4,7,1,6,5,3,2] => [2,2,1,1,1]
[4,7,2,1,3,5,6] => [2,1,4]
[4,7,2,1,3,6,5] => [2,1,3,1]
[4,7,2,1,5,3,6] => [2,1,2,2]
[4,7,2,1,5,6,3] => [2,1,3,1]
[4,7,2,1,6,3,5] => [2,1,2,2]
[4,7,2,1,6,5,3] => [2,1,2,1,1]
[4,7,2,3,1,5,6] => [2,2,3]
[4,7,2,3,1,6,5] => [2,2,2,1]
[4,7,2,3,5,1,6] => [2,3,2]
[4,7,2,3,5,6,1] => [2,4,1]
[4,7,2,3,6,1,5] => [2,3,2]
[4,7,2,3,6,5,1] => [2,3,1,1]
[4,7,2,5,1,3,6] => [2,2,3]
[4,7,2,5,1,6,3] => [2,2,2,1]
[4,7,2,5,3,1,6] => [2,2,1,2]
[4,7,2,5,3,6,1] => [2,2,2,1]
[4,7,2,5,6,1,3] => [2,3,2]
[4,7,2,5,6,3,1] => [2,3,1,1]
[4,7,2,6,1,3,5] => [2,2,3]
[4,7,2,6,1,5,3] => [2,2,2,1]
[4,7,2,6,3,1,5] => [2,2,1,2]
[4,7,2,6,3,5,1] => [2,2,2,1]
[4,7,2,6,5,1,3] => [2,2,1,2]
[4,7,2,6,5,3,1] => [2,2,1,1,1]
[4,7,3,1,2,5,6] => [2,1,4]
[4,7,3,1,2,6,5] => [2,1,3,1]
[4,7,3,1,5,2,6] => [2,1,2,2]
[4,7,3,1,5,6,2] => [2,1,3,1]
[4,7,3,1,6,2,5] => [2,1,2,2]
[4,7,3,1,6,5,2] => [2,1,2,1,1]
[4,7,3,2,1,5,6] => [2,1,1,3]
[4,7,3,2,1,6,5] => [2,1,1,2,1]
[4,7,3,2,5,1,6] => [2,1,2,2]
[4,7,3,2,5,6,1] => [2,1,3,1]
[4,7,3,2,6,1,5] => [2,1,2,2]
[4,7,3,2,6,5,1] => [2,1,2,1,1]
[4,7,3,5,1,2,6] => [2,2,3]
[4,7,3,5,1,6,2] => [2,2,2,1]
[4,7,3,5,2,1,6] => [2,2,1,2]
[4,7,3,5,2,6,1] => [2,2,2,1]
[4,7,3,5,6,1,2] => [2,3,2]
[4,7,3,5,6,2,1] => [2,3,1,1]
[4,7,3,6,1,2,5] => [2,2,3]
[4,7,3,6,1,5,2] => [2,2,2,1]
[4,7,3,6,2,1,5] => [2,2,1,2]
[4,7,3,6,2,5,1] => [2,2,2,1]
[4,7,3,6,5,1,2] => [2,2,1,2]
[4,7,3,6,5,2,1] => [2,2,1,1,1]
[4,7,5,1,2,3,6] => [2,1,4]
[4,7,5,1,2,6,3] => [2,1,3,1]
[4,7,5,1,3,2,6] => [2,1,2,2]
[4,7,5,1,3,6,2] => [2,1,3,1]
[4,7,5,1,6,2,3] => [2,1,2,2]
[4,7,5,1,6,3,2] => [2,1,2,1,1]
[4,7,5,2,1,3,6] => [2,1,1,3]
[4,7,5,2,1,6,3] => [2,1,1,2,1]
[4,7,5,2,3,1,6] => [2,1,2,2]
[4,7,5,2,3,6,1] => [2,1,3,1]
[4,7,5,2,6,1,3] => [2,1,2,2]
[4,7,5,2,6,3,1] => [2,1,2,1,1]
[4,7,5,3,1,2,6] => [2,1,1,3]
[4,7,5,3,1,6,2] => [2,1,1,2,1]
[4,7,5,3,2,1,6] => [2,1,1,1,2]
[4,7,5,3,2,6,1] => [2,1,1,2,1]
[4,7,5,3,6,1,2] => [2,1,2,2]
[4,7,5,3,6,2,1] => [2,1,2,1,1]
[4,7,5,6,1,2,3] => [2,2,3]
[4,7,5,6,1,3,2] => [2,2,2,1]
[4,7,5,6,2,1,3] => [2,2,1,2]
[4,7,5,6,2,3,1] => [2,2,2,1]
[4,7,5,6,3,1,2] => [2,2,1,2]
[4,7,5,6,3,2,1] => [2,2,1,1,1]
[4,7,6,1,2,3,5] => [2,1,4]
[4,7,6,1,2,5,3] => [2,1,3,1]
[4,7,6,1,3,2,5] => [2,1,2,2]
[4,7,6,1,3,5,2] => [2,1,3,1]
[4,7,6,1,5,2,3] => [2,1,2,2]
[4,7,6,1,5,3,2] => [2,1,2,1,1]
[4,7,6,2,1,3,5] => [2,1,1,3]
[4,7,6,2,1,5,3] => [2,1,1,2,1]
[4,7,6,2,3,1,5] => [2,1,2,2]
[4,7,6,2,3,5,1] => [2,1,3,1]
[4,7,6,2,5,1,3] => [2,1,2,2]
[4,7,6,2,5,3,1] => [2,1,2,1,1]
[4,7,6,3,1,2,5] => [2,1,1,3]
[4,7,6,3,1,5,2] => [2,1,1,2,1]
[4,7,6,3,2,1,5] => [2,1,1,1,2]
[4,7,6,3,2,5,1] => [2,1,1,2,1]
[4,7,6,3,5,1,2] => [2,1,2,2]
[4,7,6,3,5,2,1] => [2,1,2,1,1]
[4,7,6,5,1,2,3] => [2,1,1,3]
[4,7,6,5,1,3,2] => [2,1,1,2,1]
[4,7,6,5,2,1,3] => [2,1,1,1,2]
[4,7,6,5,2,3,1] => [2,1,1,2,1]
[4,7,6,5,3,1,2] => [2,1,1,1,2]
[4,7,6,5,3,2,1] => [2,1,1,1,1,1]
[5,1,2,3,4,6,7] => [1,6]
[5,1,2,3,4,7,6] => [1,5,1]
[5,1,2,3,6,4,7] => [1,4,2]
[5,1,2,3,6,7,4] => [1,5,1]
[5,1,2,3,7,4,6] => [1,4,2]
[5,1,2,3,7,6,4] => [1,4,1,1]
[5,1,2,4,3,6,7] => [1,3,3]
[5,1,2,4,3,7,6] => [1,3,2,1]
[5,1,2,4,6,3,7] => [1,4,2]
[5,1,2,4,6,7,3] => [1,5,1]
[5,1,2,4,7,3,6] => [1,4,2]
[5,1,2,4,7,6,3] => [1,4,1,1]
[5,1,2,6,3,4,7] => [1,3,3]
[5,1,2,6,3,7,4] => [1,3,2,1]
[5,1,2,6,4,3,7] => [1,3,1,2]
[5,1,2,6,4,7,3] => [1,3,2,1]
[5,1,2,6,7,3,4] => [1,4,2]
[5,1,2,6,7,4,3] => [1,4,1,1]
[5,1,2,7,3,4,6] => [1,3,3]
[5,1,2,7,3,6,4] => [1,3,2,1]
[5,1,2,7,4,3,6] => [1,3,1,2]
[5,1,2,7,4,6,3] => [1,3,2,1]
[5,1,2,7,6,3,4] => [1,3,1,2]
[5,1,2,7,6,4,3] => [1,3,1,1,1]
[5,1,3,2,4,6,7] => [1,2,4]
[5,1,3,2,4,7,6] => [1,2,3,1]
[5,1,3,2,6,4,7] => [1,2,2,2]
[5,1,3,2,6,7,4] => [1,2,3,1]
[5,1,3,2,7,4,6] => [1,2,2,2]
[5,1,3,2,7,6,4] => [1,2,2,1,1]
[5,1,3,4,2,6,7] => [1,3,3]
[5,1,3,4,2,7,6] => [1,3,2,1]
[5,1,3,4,6,2,7] => [1,4,2]
[5,1,3,4,6,7,2] => [1,5,1]
[5,1,3,4,7,2,6] => [1,4,2]
[5,1,3,4,7,6,2] => [1,4,1,1]
[5,1,3,6,2,4,7] => [1,3,3]
[5,1,3,6,2,7,4] => [1,3,2,1]
[5,1,3,6,4,2,7] => [1,3,1,2]
[5,1,3,6,4,7,2] => [1,3,2,1]
[5,1,3,6,7,2,4] => [1,4,2]
[5,1,3,6,7,4,2] => [1,4,1,1]
[5,1,3,7,2,4,6] => [1,3,3]
[5,1,3,7,2,6,4] => [1,3,2,1]
[5,1,3,7,4,2,6] => [1,3,1,2]
[5,1,3,7,4,6,2] => [1,3,2,1]
[5,1,3,7,6,2,4] => [1,3,1,2]
[5,1,3,7,6,4,2] => [1,3,1,1,1]
[5,1,4,2,3,6,7] => [1,2,4]
[5,1,4,2,3,7,6] => [1,2,3,1]
[5,1,4,2,6,3,7] => [1,2,2,2]
[5,1,4,2,6,7,3] => [1,2,3,1]
[5,1,4,2,7,3,6] => [1,2,2,2]
[5,1,4,2,7,6,3] => [1,2,2,1,1]
[5,1,4,3,2,6,7] => [1,2,1,3]
[5,1,4,3,2,7,6] => [1,2,1,2,1]
[5,1,4,3,6,2,7] => [1,2,2,2]
[5,1,4,3,6,7,2] => [1,2,3,1]
[5,1,4,3,7,2,6] => [1,2,2,2]
[5,1,4,3,7,6,2] => [1,2,2,1,1]
[5,1,4,6,2,3,7] => [1,3,3]
[5,1,4,6,2,7,3] => [1,3,2,1]
[5,1,4,6,3,2,7] => [1,3,1,2]
[5,1,4,6,3,7,2] => [1,3,2,1]
[5,1,4,6,7,2,3] => [1,4,2]
[5,1,4,6,7,3,2] => [1,4,1,1]
[5,1,4,7,2,3,6] => [1,3,3]
[5,1,4,7,2,6,3] => [1,3,2,1]
[5,1,4,7,3,2,6] => [1,3,1,2]
[5,1,4,7,3,6,2] => [1,3,2,1]
[5,1,4,7,6,2,3] => [1,3,1,2]
[5,1,4,7,6,3,2] => [1,3,1,1,1]
[5,1,6,2,3,4,7] => [1,2,4]
[5,1,6,2,3,7,4] => [1,2,3,1]
[5,1,6,2,4,3,7] => [1,2,2,2]
[5,1,6,2,4,7,3] => [1,2,3,1]
[5,1,6,2,7,3,4] => [1,2,2,2]
[5,1,6,2,7,4,3] => [1,2,2,1,1]
[5,1,6,3,2,4,7] => [1,2,1,3]
[5,1,6,3,2,7,4] => [1,2,1,2,1]
[5,1,6,3,4,2,7] => [1,2,2,2]
[5,1,6,3,4,7,2] => [1,2,3,1]
[5,1,6,3,7,2,4] => [1,2,2,2]
[5,1,6,3,7,4,2] => [1,2,2,1,1]
[5,1,6,4,2,3,7] => [1,2,1,3]
[5,1,6,4,2,7,3] => [1,2,1,2,1]
[5,1,6,4,3,2,7] => [1,2,1,1,2]
[5,1,6,4,3,7,2] => [1,2,1,2,1]
[5,1,6,4,7,2,3] => [1,2,2,2]
[5,1,6,4,7,3,2] => [1,2,2,1,1]
[5,1,6,7,2,3,4] => [1,3,3]
[5,1,6,7,2,4,3] => [1,3,2,1]
[5,1,6,7,3,2,4] => [1,3,1,2]
[5,1,6,7,3,4,2] => [1,3,2,1]
[5,1,6,7,4,2,3] => [1,3,1,2]
[5,1,6,7,4,3,2] => [1,3,1,1,1]
[5,1,7,2,3,4,6] => [1,2,4]
[5,1,7,2,3,6,4] => [1,2,3,1]
[5,1,7,2,4,3,6] => [1,2,2,2]
[5,1,7,2,4,6,3] => [1,2,3,1]
[5,1,7,2,6,3,4] => [1,2,2,2]
[5,1,7,2,6,4,3] => [1,2,2,1,1]
[5,1,7,3,2,4,6] => [1,2,1,3]
[5,1,7,3,2,6,4] => [1,2,1,2,1]
[5,1,7,3,4,2,6] => [1,2,2,2]
[5,1,7,3,4,6,2] => [1,2,3,1]
[5,1,7,3,6,2,4] => [1,2,2,2]
[5,1,7,3,6,4,2] => [1,2,2,1,1]
[5,1,7,4,2,3,6] => [1,2,1,3]
[5,1,7,4,2,6,3] => [1,2,1,2,1]
[5,1,7,4,3,2,6] => [1,2,1,1,2]
[5,1,7,4,3,6,2] => [1,2,1,2,1]
[5,1,7,4,6,2,3] => [1,2,2,2]
[5,1,7,4,6,3,2] => [1,2,2,1,1]
[5,1,7,6,2,3,4] => [1,2,1,3]
[5,1,7,6,2,4,3] => [1,2,1,2,1]
[5,1,7,6,3,2,4] => [1,2,1,1,2]
[5,1,7,6,3,4,2] => [1,2,1,2,1]
[5,1,7,6,4,2,3] => [1,2,1,1,2]
[5,1,7,6,4,3,2] => [1,2,1,1,1,1]
[5,2,1,3,4,6,7] => [1,1,5]
[5,2,1,3,4,7,6] => [1,1,4,1]
[5,2,1,3,6,4,7] => [1,1,3,2]
[5,2,1,3,6,7,4] => [1,1,4,1]
[5,2,1,3,7,4,6] => [1,1,3,2]
[5,2,1,3,7,6,4] => [1,1,3,1,1]
[5,2,1,4,3,6,7] => [1,1,2,3]
[5,2,1,4,3,7,6] => [1,1,2,2,1]
[5,2,1,4,6,3,7] => [1,1,3,2]
[5,2,1,4,6,7,3] => [1,1,4,1]
[5,2,1,4,7,3,6] => [1,1,3,2]
[5,2,1,4,7,6,3] => [1,1,3,1,1]
[5,2,1,6,3,4,7] => [1,1,2,3]
[5,2,1,6,3,7,4] => [1,1,2,2,1]
[5,2,1,6,4,3,7] => [1,1,2,1,2]
[5,2,1,6,4,7,3] => [1,1,2,2,1]
[5,2,1,6,7,3,4] => [1,1,3,2]
[5,2,1,6,7,4,3] => [1,1,3,1,1]
[5,2,1,7,3,4,6] => [1,1,2,3]
[5,2,1,7,3,6,4] => [1,1,2,2,1]
[5,2,1,7,4,3,6] => [1,1,2,1,2]
[5,2,1,7,4,6,3] => [1,1,2,2,1]
[5,2,1,7,6,3,4] => [1,1,2,1,2]
[5,2,1,7,6,4,3] => [1,1,2,1,1,1]
[5,2,3,1,4,6,7] => [1,2,4]
[5,2,3,1,4,7,6] => [1,2,3,1]
[5,2,3,1,6,4,7] => [1,2,2,2]
[5,2,3,1,6,7,4] => [1,2,3,1]
[5,2,3,1,7,4,6] => [1,2,2,2]
[5,2,3,1,7,6,4] => [1,2,2,1,1]
[5,2,3,4,1,6,7] => [1,3,3]
[5,2,3,4,1,7,6] => [1,3,2,1]
[5,2,3,4,6,1,7] => [1,4,2]
[5,2,3,4,6,7,1] => [1,5,1]
[5,2,3,4,7,1,6] => [1,4,2]
[5,2,3,4,7,6,1] => [1,4,1,1]
[5,2,3,6,1,4,7] => [1,3,3]
[5,2,3,6,1,7,4] => [1,3,2,1]
[5,2,3,6,4,1,7] => [1,3,1,2]
[5,2,3,6,4,7,1] => [1,3,2,1]
[5,2,3,6,7,1,4] => [1,4,2]
[5,2,3,6,7,4,1] => [1,4,1,1]
[5,2,3,7,1,4,6] => [1,3,3]
[5,2,3,7,1,6,4] => [1,3,2,1]
[5,2,3,7,4,1,6] => [1,3,1,2]
[5,2,3,7,4,6,1] => [1,3,2,1]
[5,2,3,7,6,1,4] => [1,3,1,2]
[5,2,3,7,6,4,1] => [1,3,1,1,1]
[5,2,4,1,3,6,7] => [1,2,4]
[5,2,4,1,3,7,6] => [1,2,3,1]
[5,2,4,1,6,3,7] => [1,2,2,2]
[5,2,4,1,6,7,3] => [1,2,3,1]
[5,2,4,1,7,3,6] => [1,2,2,2]
[5,2,4,1,7,6,3] => [1,2,2,1,1]
[5,2,4,3,1,6,7] => [1,2,1,3]
[5,2,4,3,1,7,6] => [1,2,1,2,1]
[5,2,4,3,6,1,7] => [1,2,2,2]
[5,2,4,3,6,7,1] => [1,2,3,1]
[5,2,4,3,7,1,6] => [1,2,2,2]
[5,2,4,3,7,6,1] => [1,2,2,1,1]
[5,2,4,6,1,3,7] => [1,3,3]
[5,2,4,6,1,7,3] => [1,3,2,1]
[5,2,4,6,3,1,7] => [1,3,1,2]
[5,2,4,6,3,7,1] => [1,3,2,1]
[5,2,4,6,7,1,3] => [1,4,2]
[5,2,4,6,7,3,1] => [1,4,1,1]
[5,2,4,7,1,3,6] => [1,3,3]
[5,2,4,7,1,6,3] => [1,3,2,1]
[5,2,4,7,3,1,6] => [1,3,1,2]
[5,2,4,7,3,6,1] => [1,3,2,1]
[5,2,4,7,6,1,3] => [1,3,1,2]
[5,2,4,7,6,3,1] => [1,3,1,1,1]
[5,2,6,1,3,4,7] => [1,2,4]
[5,2,6,1,3,7,4] => [1,2,3,1]
[5,2,6,1,4,3,7] => [1,2,2,2]
[5,2,6,1,4,7,3] => [1,2,3,1]
[5,2,6,1,7,3,4] => [1,2,2,2]
[5,2,6,1,7,4,3] => [1,2,2,1,1]
[5,2,6,3,1,4,7] => [1,2,1,3]
[5,2,6,3,1,7,4] => [1,2,1,2,1]
[5,2,6,3,4,1,7] => [1,2,2,2]
[5,2,6,3,4,7,1] => [1,2,3,1]
[5,2,6,3,7,1,4] => [1,2,2,2]
[5,2,6,3,7,4,1] => [1,2,2,1,1]
[5,2,6,4,1,3,7] => [1,2,1,3]
[5,2,6,4,1,7,3] => [1,2,1,2,1]
[5,2,6,4,3,1,7] => [1,2,1,1,2]
[5,2,6,4,3,7,1] => [1,2,1,2,1]
[5,2,6,4,7,1,3] => [1,2,2,2]
[5,2,6,4,7,3,1] => [1,2,2,1,1]
[5,2,6,7,1,3,4] => [1,3,3]
[5,2,6,7,1,4,3] => [1,3,2,1]
[5,2,6,7,3,1,4] => [1,3,1,2]
[5,2,6,7,3,4,1] => [1,3,2,1]
[5,2,6,7,4,1,3] => [1,3,1,2]
[5,2,6,7,4,3,1] => [1,3,1,1,1]
[5,2,7,1,3,4,6] => [1,2,4]
[5,2,7,1,3,6,4] => [1,2,3,1]
[5,2,7,1,4,3,6] => [1,2,2,2]
[5,2,7,1,4,6,3] => [1,2,3,1]
[5,2,7,1,6,3,4] => [1,2,2,2]
[5,2,7,1,6,4,3] => [1,2,2,1,1]
[5,2,7,3,1,4,6] => [1,2,1,3]
[5,2,7,3,1,6,4] => [1,2,1,2,1]
[5,2,7,3,4,1,6] => [1,2,2,2]
[5,2,7,3,4,6,1] => [1,2,3,1]
[5,2,7,3,6,1,4] => [1,2,2,2]
[5,2,7,3,6,4,1] => [1,2,2,1,1]
[5,2,7,4,1,3,6] => [1,2,1,3]
[5,2,7,4,1,6,3] => [1,2,1,2,1]
[5,2,7,4,3,1,6] => [1,2,1,1,2]
[5,2,7,4,3,6,1] => [1,2,1,2,1]
[5,2,7,4,6,1,3] => [1,2,2,2]
[5,2,7,4,6,3,1] => [1,2,2,1,1]
[5,2,7,6,1,3,4] => [1,2,1,3]
[5,2,7,6,1,4,3] => [1,2,1,2,1]
[5,2,7,6,3,1,4] => [1,2,1,1,2]
[5,2,7,6,3,4,1] => [1,2,1,2,1]
[5,2,7,6,4,1,3] => [1,2,1,1,2]
[5,2,7,6,4,3,1] => [1,2,1,1,1,1]
[5,3,1,2,4,6,7] => [1,1,5]
[5,3,1,2,4,7,6] => [1,1,4,1]
[5,3,1,2,6,4,7] => [1,1,3,2]
[5,3,1,2,6,7,4] => [1,1,4,1]
[5,3,1,2,7,4,6] => [1,1,3,2]
[5,3,1,2,7,6,4] => [1,1,3,1,1]
[5,3,1,4,2,6,7] => [1,1,2,3]
[5,3,1,4,2,7,6] => [1,1,2,2,1]
[5,3,1,4,6,2,7] => [1,1,3,2]
[5,3,1,4,6,7,2] => [1,1,4,1]
[5,3,1,4,7,2,6] => [1,1,3,2]
[5,3,1,4,7,6,2] => [1,1,3,1,1]
[5,3,1,6,2,4,7] => [1,1,2,3]
[5,3,1,6,2,7,4] => [1,1,2,2,1]
[5,3,1,6,4,2,7] => [1,1,2,1,2]
[5,3,1,6,4,7,2] => [1,1,2,2,1]
[5,3,1,6,7,2,4] => [1,1,3,2]
[5,3,1,6,7,4,2] => [1,1,3,1,1]
[5,3,1,7,2,4,6] => [1,1,2,3]
[5,3,1,7,2,6,4] => [1,1,2,2,1]
[5,3,1,7,4,2,6] => [1,1,2,1,2]
[5,3,1,7,4,6,2] => [1,1,2,2,1]
[5,3,1,7,6,2,4] => [1,1,2,1,2]
[5,3,1,7,6,4,2] => [1,1,2,1,1,1]
[5,3,2,1,4,6,7] => [1,1,1,4]
[5,3,2,1,4,7,6] => [1,1,1,3,1]
[5,3,2,1,6,4,7] => [1,1,1,2,2]
[5,3,2,1,6,7,4] => [1,1,1,3,1]
[5,3,2,1,7,4,6] => [1,1,1,2,2]
[5,3,2,1,7,6,4] => [1,1,1,2,1,1]
[5,3,2,4,1,6,7] => [1,1,2,3]
[5,3,2,4,1,7,6] => [1,1,2,2,1]
[5,3,2,4,6,1,7] => [1,1,3,2]
[5,3,2,4,6,7,1] => [1,1,4,1]
[5,3,2,4,7,1,6] => [1,1,3,2]
[5,3,2,4,7,6,1] => [1,1,3,1,1]
[5,3,2,6,1,4,7] => [1,1,2,3]
[5,3,2,6,1,7,4] => [1,1,2,2,1]
[5,3,2,6,4,1,7] => [1,1,2,1,2]
[5,3,2,6,4,7,1] => [1,1,2,2,1]
[5,3,2,6,7,1,4] => [1,1,3,2]
[5,3,2,6,7,4,1] => [1,1,3,1,1]
[5,3,2,7,1,4,6] => [1,1,2,3]
[5,3,2,7,1,6,4] => [1,1,2,2,1]
[5,3,2,7,4,1,6] => [1,1,2,1,2]
[5,3,2,7,4,6,1] => [1,1,2,2,1]
[5,3,2,7,6,1,4] => [1,1,2,1,2]
[5,3,2,7,6,4,1] => [1,1,2,1,1,1]
[5,3,4,1,2,6,7] => [1,2,4]
[5,3,4,1,2,7,6] => [1,2,3,1]
[5,3,4,1,6,2,7] => [1,2,2,2]
[5,3,4,1,6,7,2] => [1,2,3,1]
[5,3,4,1,7,2,6] => [1,2,2,2]
[5,3,4,1,7,6,2] => [1,2,2,1,1]
[5,3,4,2,1,6,7] => [1,2,1,3]
[5,3,4,2,1,7,6] => [1,2,1,2,1]
[5,3,4,2,6,1,7] => [1,2,2,2]
[5,3,4,2,6,7,1] => [1,2,3,1]
[5,3,4,2,7,1,6] => [1,2,2,2]
[5,3,4,2,7,6,1] => [1,2,2,1,1]
[5,3,4,6,1,2,7] => [1,3,3]
[5,3,4,6,1,7,2] => [1,3,2,1]
[5,3,4,6,2,1,7] => [1,3,1,2]
[5,3,4,6,2,7,1] => [1,3,2,1]
[5,3,4,6,7,1,2] => [1,4,2]
[5,3,4,6,7,2,1] => [1,4,1,1]
[5,3,4,7,1,2,6] => [1,3,3]
[5,3,4,7,1,6,2] => [1,3,2,1]
[5,3,4,7,2,1,6] => [1,3,1,2]
[5,3,4,7,2,6,1] => [1,3,2,1]
[5,3,4,7,6,1,2] => [1,3,1,2]
[5,3,4,7,6,2,1] => [1,3,1,1,1]
[5,3,6,1,2,4,7] => [1,2,4]
[5,3,6,1,2,7,4] => [1,2,3,1]
[5,3,6,1,4,2,7] => [1,2,2,2]
[5,3,6,1,4,7,2] => [1,2,3,1]
[5,3,6,1,7,2,4] => [1,2,2,2]
[5,3,6,1,7,4,2] => [1,2,2,1,1]
[5,3,6,2,1,4,7] => [1,2,1,3]
[5,3,6,2,1,7,4] => [1,2,1,2,1]
[5,3,6,2,4,1,7] => [1,2,2,2]
[5,3,6,2,4,7,1] => [1,2,3,1]
[5,3,6,2,7,1,4] => [1,2,2,2]
[5,3,6,2,7,4,1] => [1,2,2,1,1]
[5,3,6,4,1,2,7] => [1,2,1,3]
[5,3,6,4,1,7,2] => [1,2,1,2,1]
[5,3,6,4,2,1,7] => [1,2,1,1,2]
[5,3,6,4,2,7,1] => [1,2,1,2,1]
[5,3,6,4,7,1,2] => [1,2,2,2]
[5,3,6,4,7,2,1] => [1,2,2,1,1]
[5,3,6,7,1,2,4] => [1,3,3]
[5,3,6,7,1,4,2] => [1,3,2,1]
[5,3,6,7,2,1,4] => [1,3,1,2]
[5,3,6,7,2,4,1] => [1,3,2,1]
[5,3,6,7,4,1,2] => [1,3,1,2]
[5,3,6,7,4,2,1] => [1,3,1,1,1]
[5,3,7,1,2,4,6] => [1,2,4]
[5,3,7,1,2,6,4] => [1,2,3,1]
[5,3,7,1,4,2,6] => [1,2,2,2]
[5,3,7,1,4,6,2] => [1,2,3,1]
[5,3,7,1,6,2,4] => [1,2,2,2]
[5,3,7,1,6,4,2] => [1,2,2,1,1]
[5,3,7,2,1,4,6] => [1,2,1,3]
[5,3,7,2,1,6,4] => [1,2,1,2,1]
[5,3,7,2,4,1,6] => [1,2,2,2]
[5,3,7,2,4,6,1] => [1,2,3,1]
[5,3,7,2,6,1,4] => [1,2,2,2]
[5,3,7,2,6,4,1] => [1,2,2,1,1]
[5,3,7,4,1,2,6] => [1,2,1,3]
[5,3,7,4,1,6,2] => [1,2,1,2,1]
[5,3,7,4,2,1,6] => [1,2,1,1,2]
[5,3,7,4,2,6,1] => [1,2,1,2,1]
[5,3,7,4,6,1,2] => [1,2,2,2]
[5,3,7,4,6,2,1] => [1,2,2,1,1]
[5,3,7,6,1,2,4] => [1,2,1,3]
[5,3,7,6,1,4,2] => [1,2,1,2,1]
[5,3,7,6,2,1,4] => [1,2,1,1,2]
[5,3,7,6,2,4,1] => [1,2,1,2,1]
[5,3,7,6,4,1,2] => [1,2,1,1,2]
[5,3,7,6,4,2,1] => [1,2,1,1,1,1]
[5,4,1,2,3,6,7] => [1,1,5]
[5,4,1,2,3,7,6] => [1,1,4,1]
[5,4,1,2,6,3,7] => [1,1,3,2]
[5,4,1,2,6,7,3] => [1,1,4,1]
[5,4,1,2,7,3,6] => [1,1,3,2]
[5,4,1,2,7,6,3] => [1,1,3,1,1]
[5,4,1,3,2,6,7] => [1,1,2,3]
[5,4,1,3,2,7,6] => [1,1,2,2,1]
[5,4,1,3,6,2,7] => [1,1,3,2]
[5,4,1,3,6,7,2] => [1,1,4,1]
[5,4,1,3,7,2,6] => [1,1,3,2]
[5,4,1,3,7,6,2] => [1,1,3,1,1]
[5,4,1,6,2,3,7] => [1,1,2,3]
[5,4,1,6,2,7,3] => [1,1,2,2,1]
[5,4,1,6,3,2,7] => [1,1,2,1,2]
[5,4,1,6,3,7,2] => [1,1,2,2,1]
[5,4,1,6,7,2,3] => [1,1,3,2]
[5,4,1,6,7,3,2] => [1,1,3,1,1]
[5,4,1,7,2,3,6] => [1,1,2,3]
[5,4,1,7,2,6,3] => [1,1,2,2,1]
[5,4,1,7,3,2,6] => [1,1,2,1,2]
[5,4,1,7,3,6,2] => [1,1,2,2,1]
[5,4,1,7,6,2,3] => [1,1,2,1,2]
[5,4,1,7,6,3,2] => [1,1,2,1,1,1]
[5,4,2,1,3,6,7] => [1,1,1,4]
[5,4,2,1,3,7,6] => [1,1,1,3,1]
[5,4,2,1,6,3,7] => [1,1,1,2,2]
[5,4,2,1,6,7,3] => [1,1,1,3,1]
[5,4,2,1,7,3,6] => [1,1,1,2,2]
[5,4,2,1,7,6,3] => [1,1,1,2,1,1]
[5,4,2,3,1,6,7] => [1,1,2,3]
[5,4,2,3,1,7,6] => [1,1,2,2,1]
[5,4,2,3,6,1,7] => [1,1,3,2]
[5,4,2,3,6,7,1] => [1,1,4,1]
[5,4,2,3,7,1,6] => [1,1,3,2]
[5,4,2,3,7,6,1] => [1,1,3,1,1]
[5,4,2,6,1,3,7] => [1,1,2,3]
[5,4,2,6,1,7,3] => [1,1,2,2,1]
[5,4,2,6,3,1,7] => [1,1,2,1,2]
[5,4,2,6,3,7,1] => [1,1,2,2,1]
[5,4,2,6,7,1,3] => [1,1,3,2]
[5,4,2,6,7,3,1] => [1,1,3,1,1]
[5,4,2,7,1,3,6] => [1,1,2,3]
[5,4,2,7,1,6,3] => [1,1,2,2,1]
[5,4,2,7,3,1,6] => [1,1,2,1,2]
[5,4,2,7,3,6,1] => [1,1,2,2,1]
[5,4,2,7,6,1,3] => [1,1,2,1,2]
[5,4,2,7,6,3,1] => [1,1,2,1,1,1]
[5,4,3,1,2,6,7] => [1,1,1,4]
[5,4,3,1,2,7,6] => [1,1,1,3,1]
[5,4,3,1,6,2,7] => [1,1,1,2,2]
[5,4,3,1,6,7,2] => [1,1,1,3,1]
[5,4,3,1,7,2,6] => [1,1,1,2,2]
[5,4,3,1,7,6,2] => [1,1,1,2,1,1]
[5,4,3,2,1,6,7] => [1,1,1,1,3]
[5,4,3,2,1,7,6] => [1,1,1,1,2,1]
[5,4,3,2,6,1,7] => [1,1,1,2,2]
[5,4,3,2,6,7,1] => [1,1,1,3,1]
[5,4,3,2,7,1,6] => [1,1,1,2,2]
[5,4,3,2,7,6,1] => [1,1,1,2,1,1]
[5,4,3,6,1,2,7] => [1,1,2,3]
[5,4,3,6,1,7,2] => [1,1,2,2,1]
[5,4,3,6,2,1,7] => [1,1,2,1,2]
[5,4,3,6,2,7,1] => [1,1,2,2,1]
[5,4,3,6,7,1,2] => [1,1,3,2]
[5,4,3,6,7,2,1] => [1,1,3,1,1]
[5,4,3,7,1,2,6] => [1,1,2,3]
[5,4,3,7,1,6,2] => [1,1,2,2,1]
[5,4,3,7,2,1,6] => [1,1,2,1,2]
[5,4,3,7,2,6,1] => [1,1,2,2,1]
[5,4,3,7,6,1,2] => [1,1,2,1,2]
[5,4,3,7,6,2,1] => [1,1,2,1,1,1]
[5,4,6,1,2,3,7] => [1,2,4]
[5,4,6,1,2,7,3] => [1,2,3,1]
[5,4,6,1,3,2,7] => [1,2,2,2]
[5,4,6,1,3,7,2] => [1,2,3,1]
[5,4,6,1,7,2,3] => [1,2,2,2]
[5,4,6,1,7,3,2] => [1,2,2,1,1]
[5,4,6,2,1,3,7] => [1,2,1,3]
[5,4,6,2,1,7,3] => [1,2,1,2,1]
[5,4,6,2,3,1,7] => [1,2,2,2]
[5,4,6,2,3,7,1] => [1,2,3,1]
[5,4,6,2,7,1,3] => [1,2,2,2]
[5,4,6,2,7,3,1] => [1,2,2,1,1]
[5,4,6,3,1,2,7] => [1,2,1,3]
[5,4,6,3,1,7,2] => [1,2,1,2,1]
[5,4,6,3,2,1,7] => [1,2,1,1,2]
[5,4,6,3,2,7,1] => [1,2,1,2,1]
[5,4,6,3,7,1,2] => [1,2,2,2]
[5,4,6,3,7,2,1] => [1,2,2,1,1]
[5,4,6,7,1,2,3] => [1,3,3]
[5,4,6,7,1,3,2] => [1,3,2,1]
[5,4,6,7,2,1,3] => [1,3,1,2]
[5,4,6,7,2,3,1] => [1,3,2,1]
[5,4,6,7,3,1,2] => [1,3,1,2]
[5,4,6,7,3,2,1] => [1,3,1,1,1]
[5,4,7,1,2,3,6] => [1,2,4]
[5,4,7,1,2,6,3] => [1,2,3,1]
[5,4,7,1,3,2,6] => [1,2,2,2]
[5,4,7,1,3,6,2] => [1,2,3,1]
[5,4,7,1,6,2,3] => [1,2,2,2]
[5,4,7,1,6,3,2] => [1,2,2,1,1]
[5,4,7,2,1,3,6] => [1,2,1,3]
[5,4,7,2,1,6,3] => [1,2,1,2,1]
[5,4,7,2,3,1,6] => [1,2,2,2]
[5,4,7,2,3,6,1] => [1,2,3,1]
[5,4,7,2,6,1,3] => [1,2,2,2]
[5,4,7,2,6,3,1] => [1,2,2,1,1]
[5,4,7,3,1,2,6] => [1,2,1,3]
[5,4,7,3,1,6,2] => [1,2,1,2,1]
[5,4,7,3,2,1,6] => [1,2,1,1,2]
[5,4,7,3,2,6,1] => [1,2,1,2,1]
[5,4,7,3,6,1,2] => [1,2,2,2]
[5,4,7,3,6,2,1] => [1,2,2,1,1]
[5,4,7,6,1,2,3] => [1,2,1,3]
[5,4,7,6,1,3,2] => [1,2,1,2,1]
[5,4,7,6,2,1,3] => [1,2,1,1,2]
[5,4,7,6,2,3,1] => [1,2,1,2,1]
[5,4,7,6,3,1,2] => [1,2,1,1,2]
[5,4,7,6,3,2,1] => [1,2,1,1,1,1]
[5,6,1,2,3,4,7] => [2,5]
[5,6,1,2,3,7,4] => [2,4,1]
[5,6,1,2,4,3,7] => [2,3,2]
[5,6,1,2,4,7,3] => [2,4,1]
[5,6,1,2,7,3,4] => [2,3,2]
[5,6,1,2,7,4,3] => [2,3,1,1]
[5,6,1,3,2,4,7] => [2,2,3]
[5,6,1,3,2,7,4] => [2,2,2,1]
[5,6,1,3,4,2,7] => [2,3,2]
[5,6,1,3,4,7,2] => [2,4,1]
[5,6,1,3,7,2,4] => [2,3,2]
[5,6,1,3,7,4,2] => [2,3,1,1]
[5,6,1,4,2,3,7] => [2,2,3]
[5,6,1,4,2,7,3] => [2,2,2,1]
[5,6,1,4,3,2,7] => [2,2,1,2]
[5,6,1,4,3,7,2] => [2,2,2,1]
[5,6,1,4,7,2,3] => [2,3,2]
[5,6,1,4,7,3,2] => [2,3,1,1]
[5,6,1,7,2,3,4] => [2,2,3]
[5,6,1,7,2,4,3] => [2,2,2,1]
[5,6,1,7,3,2,4] => [2,2,1,2]
[5,6,1,7,3,4,2] => [2,2,2,1]
[5,6,1,7,4,2,3] => [2,2,1,2]
[5,6,1,7,4,3,2] => [2,2,1,1,1]
[5,6,2,1,3,4,7] => [2,1,4]
[5,6,2,1,3,7,4] => [2,1,3,1]
[5,6,2,1,4,3,7] => [2,1,2,2]
[5,6,2,1,4,7,3] => [2,1,3,1]
[5,6,2,1,7,3,4] => [2,1,2,2]
[5,6,2,1,7,4,3] => [2,1,2,1,1]
[5,6,2,3,1,4,7] => [2,2,3]
[5,6,2,3,1,7,4] => [2,2,2,1]
[5,6,2,3,4,1,7] => [2,3,2]
[5,6,2,3,4,7,1] => [2,4,1]
[5,6,2,3,7,1,4] => [2,3,2]
[5,6,2,3,7,4,1] => [2,3,1,1]
[5,6,2,4,1,3,7] => [2,2,3]
[5,6,2,4,1,7,3] => [2,2,2,1]
[5,6,2,4,3,1,7] => [2,2,1,2]
[5,6,2,4,3,7,1] => [2,2,2,1]
[5,6,2,4,7,1,3] => [2,3,2]
[5,6,2,4,7,3,1] => [2,3,1,1]
[5,6,2,7,1,3,4] => [2,2,3]
[5,6,2,7,1,4,3] => [2,2,2,1]
[5,6,2,7,3,1,4] => [2,2,1,2]
[5,6,2,7,3,4,1] => [2,2,2,1]
[5,6,2,7,4,1,3] => [2,2,1,2]
[5,6,2,7,4,3,1] => [2,2,1,1,1]
[5,6,3,1,2,4,7] => [2,1,4]
[5,6,3,1,2,7,4] => [2,1,3,1]
[5,6,3,1,4,2,7] => [2,1,2,2]
[5,6,3,1,4,7,2] => [2,1,3,1]
[5,6,3,1,7,2,4] => [2,1,2,2]
[5,6,3,1,7,4,2] => [2,1,2,1,1]
[5,6,3,2,1,4,7] => [2,1,1,3]
[5,6,3,2,1,7,4] => [2,1,1,2,1]
[5,6,3,2,4,1,7] => [2,1,2,2]
[5,6,3,2,4,7,1] => [2,1,3,1]
[5,6,3,2,7,1,4] => [2,1,2,2]
[5,6,3,2,7,4,1] => [2,1,2,1,1]
[5,6,3,4,1,2,7] => [2,2,3]
[5,6,3,4,1,7,2] => [2,2,2,1]
[5,6,3,4,2,1,7] => [2,2,1,2]
[5,6,3,4,2,7,1] => [2,2,2,1]
[5,6,3,4,7,1,2] => [2,3,2]
[5,6,3,4,7,2,1] => [2,3,1,1]
[5,6,3,7,1,2,4] => [2,2,3]
[5,6,3,7,1,4,2] => [2,2,2,1]
[5,6,3,7,2,1,4] => [2,2,1,2]
[5,6,3,7,2,4,1] => [2,2,2,1]
[5,6,3,7,4,1,2] => [2,2,1,2]
[5,6,3,7,4,2,1] => [2,2,1,1,1]
[5,6,4,1,2,3,7] => [2,1,4]
[5,6,4,1,2,7,3] => [2,1,3,1]
[5,6,4,1,3,2,7] => [2,1,2,2]
[5,6,4,1,3,7,2] => [2,1,3,1]
[5,6,4,1,7,2,3] => [2,1,2,2]
[5,6,4,1,7,3,2] => [2,1,2,1,1]
[5,6,4,2,1,3,7] => [2,1,1,3]
[5,6,4,2,1,7,3] => [2,1,1,2,1]
[5,6,4,2,3,1,7] => [2,1,2,2]
[5,6,4,2,3,7,1] => [2,1,3,1]
[5,6,4,2,7,1,3] => [2,1,2,2]
[5,6,4,2,7,3,1] => [2,1,2,1,1]
[5,6,4,3,1,2,7] => [2,1,1,3]
[5,6,4,3,1,7,2] => [2,1,1,2,1]
[5,6,4,3,2,1,7] => [2,1,1,1,2]
[5,6,4,3,2,7,1] => [2,1,1,2,1]
[5,6,4,3,7,1,2] => [2,1,2,2]
[5,6,4,3,7,2,1] => [2,1,2,1,1]
[5,6,4,7,1,2,3] => [2,2,3]
[5,6,4,7,1,3,2] => [2,2,2,1]
[5,6,4,7,2,1,3] => [2,2,1,2]
[5,6,4,7,2,3,1] => [2,2,2,1]
[5,6,4,7,3,1,2] => [2,2,1,2]
[5,6,4,7,3,2,1] => [2,2,1,1,1]
[5,6,7,1,2,3,4] => [3,4]
[5,6,7,1,2,4,3] => [3,3,1]
[5,6,7,1,3,2,4] => [3,2,2]
[5,6,7,1,3,4,2] => [3,3,1]
[5,6,7,1,4,2,3] => [3,2,2]
[5,6,7,1,4,3,2] => [3,2,1,1]
[5,6,7,2,1,3,4] => [3,1,3]
[5,6,7,2,1,4,3] => [3,1,2,1]
[5,6,7,2,3,1,4] => [3,2,2]
[5,6,7,2,3,4,1] => [3,3,1]
[5,6,7,2,4,1,3] => [3,2,2]
[5,6,7,2,4,3,1] => [3,2,1,1]
[5,6,7,3,1,2,4] => [3,1,3]
[5,6,7,3,1,4,2] => [3,1,2,1]
[5,6,7,3,2,1,4] => [3,1,1,2]
[5,6,7,3,2,4,1] => [3,1,2,1]
[5,6,7,3,4,1,2] => [3,2,2]
[5,6,7,3,4,2,1] => [3,2,1,1]
[5,6,7,4,1,2,3] => [3,1,3]
[5,6,7,4,1,3,2] => [3,1,2,1]
[5,6,7,4,2,1,3] => [3,1,1,2]
[5,6,7,4,2,3,1] => [3,1,2,1]
[5,6,7,4,3,1,2] => [3,1,1,2]
[5,6,7,4,3,2,1] => [3,1,1,1,1]
[5,7,1,2,3,4,6] => [2,5]
[5,7,1,2,3,6,4] => [2,4,1]
[5,7,1,2,4,3,6] => [2,3,2]
[5,7,1,2,4,6,3] => [2,4,1]
[5,7,1,2,6,3,4] => [2,3,2]
[5,7,1,2,6,4,3] => [2,3,1,1]
[5,7,1,3,2,4,6] => [2,2,3]
[5,7,1,3,2,6,4] => [2,2,2,1]
[5,7,1,3,4,2,6] => [2,3,2]
[5,7,1,3,4,6,2] => [2,4,1]
[5,7,1,3,6,2,4] => [2,3,2]
[5,7,1,3,6,4,2] => [2,3,1,1]
[5,7,1,4,2,3,6] => [2,2,3]
[5,7,1,4,2,6,3] => [2,2,2,1]
[5,7,1,4,3,2,6] => [2,2,1,2]
[5,7,1,4,3,6,2] => [2,2,2,1]
[5,7,1,4,6,2,3] => [2,3,2]
[5,7,1,4,6,3,2] => [2,3,1,1]
[5,7,1,6,2,3,4] => [2,2,3]
[5,7,1,6,2,4,3] => [2,2,2,1]
[5,7,1,6,3,2,4] => [2,2,1,2]
[5,7,1,6,3,4,2] => [2,2,2,1]
[5,7,1,6,4,2,3] => [2,2,1,2]
[5,7,1,6,4,3,2] => [2,2,1,1,1]
[5,7,2,1,3,4,6] => [2,1,4]
[5,7,2,1,3,6,4] => [2,1,3,1]
[5,7,2,1,4,3,6] => [2,1,2,2]
[5,7,2,1,4,6,3] => [2,1,3,1]
[5,7,2,1,6,3,4] => [2,1,2,2]
[5,7,2,1,6,4,3] => [2,1,2,1,1]
[5,7,2,3,1,4,6] => [2,2,3]
[5,7,2,3,1,6,4] => [2,2,2,1]
[5,7,2,3,4,1,6] => [2,3,2]
[5,7,2,3,4,6,1] => [2,4,1]
[5,7,2,3,6,1,4] => [2,3,2]
[5,7,2,3,6,4,1] => [2,3,1,1]
[5,7,2,4,1,3,6] => [2,2,3]
[5,7,2,4,1,6,3] => [2,2,2,1]
[5,7,2,4,3,1,6] => [2,2,1,2]
[5,7,2,4,3,6,1] => [2,2,2,1]
[5,7,2,4,6,1,3] => [2,3,2]
[5,7,2,4,6,3,1] => [2,3,1,1]
[5,7,2,6,1,3,4] => [2,2,3]
[5,7,2,6,1,4,3] => [2,2,2,1]
[5,7,2,6,3,1,4] => [2,2,1,2]
[5,7,2,6,3,4,1] => [2,2,2,1]
[5,7,2,6,4,1,3] => [2,2,1,2]
[5,7,2,6,4,3,1] => [2,2,1,1,1]
[5,7,3,1,2,4,6] => [2,1,4]
[5,7,3,1,2,6,4] => [2,1,3,1]
[5,7,3,1,4,2,6] => [2,1,2,2]
[5,7,3,1,4,6,2] => [2,1,3,1]
[5,7,3,1,6,2,4] => [2,1,2,2]
[5,7,3,1,6,4,2] => [2,1,2,1,1]
[5,7,3,2,1,4,6] => [2,1,1,3]
[5,7,3,2,1,6,4] => [2,1,1,2,1]
[5,7,3,2,4,1,6] => [2,1,2,2]
[5,7,3,2,4,6,1] => [2,1,3,1]
[5,7,3,2,6,1,4] => [2,1,2,2]
[5,7,3,2,6,4,1] => [2,1,2,1,1]
[5,7,3,4,1,2,6] => [2,2,3]
[5,7,3,4,1,6,2] => [2,2,2,1]
[5,7,3,4,2,1,6] => [2,2,1,2]
[5,7,3,4,2,6,1] => [2,2,2,1]
[5,7,3,4,6,1,2] => [2,3,2]
[5,7,3,4,6,2,1] => [2,3,1,1]
[5,7,3,6,1,2,4] => [2,2,3]
[5,7,3,6,1,4,2] => [2,2,2,1]
[5,7,3,6,2,1,4] => [2,2,1,2]
[5,7,3,6,2,4,1] => [2,2,2,1]
[5,7,3,6,4,1,2] => [2,2,1,2]
[5,7,3,6,4,2,1] => [2,2,1,1,1]
[5,7,4,1,2,3,6] => [2,1,4]
[5,7,4,1,2,6,3] => [2,1,3,1]
[5,7,4,1,3,2,6] => [2,1,2,2]
[5,7,4,1,3,6,2] => [2,1,3,1]
[5,7,4,1,6,2,3] => [2,1,2,2]
[5,7,4,1,6,3,2] => [2,1,2,1,1]
[5,7,4,2,1,3,6] => [2,1,1,3]
[5,7,4,2,1,6,3] => [2,1,1,2,1]
[5,7,4,2,3,1,6] => [2,1,2,2]
[5,7,4,2,3,6,1] => [2,1,3,1]
[5,7,4,2,6,1,3] => [2,1,2,2]
[5,7,4,2,6,3,1] => [2,1,2,1,1]
[5,7,4,3,1,2,6] => [2,1,1,3]
[5,7,4,3,1,6,2] => [2,1,1,2,1]
[5,7,4,3,2,1,6] => [2,1,1,1,2]
[5,7,4,3,2,6,1] => [2,1,1,2,1]
[5,7,4,3,6,1,2] => [2,1,2,2]
[5,7,4,3,6,2,1] => [2,1,2,1,1]
[5,7,4,6,1,2,3] => [2,2,3]
[5,7,4,6,1,3,2] => [2,2,2,1]
[5,7,4,6,2,1,3] => [2,2,1,2]
[5,7,4,6,2,3,1] => [2,2,2,1]
[5,7,4,6,3,1,2] => [2,2,1,2]
[5,7,4,6,3,2,1] => [2,2,1,1,1]
[5,7,6,1,2,3,4] => [2,1,4]
[5,7,6,1,2,4,3] => [2,1,3,1]
[5,7,6,1,3,2,4] => [2,1,2,2]
[5,7,6,1,3,4,2] => [2,1,3,1]
[5,7,6,1,4,2,3] => [2,1,2,2]
[5,7,6,1,4,3,2] => [2,1,2,1,1]
[5,7,6,2,1,3,4] => [2,1,1,3]
[5,7,6,2,1,4,3] => [2,1,1,2,1]
[5,7,6,2,3,1,4] => [2,1,2,2]
[5,7,6,2,3,4,1] => [2,1,3,1]
[5,7,6,2,4,1,3] => [2,1,2,2]
[5,7,6,2,4,3,1] => [2,1,2,1,1]
[5,7,6,3,1,2,4] => [2,1,1,3]
[5,7,6,3,1,4,2] => [2,1,1,2,1]
[5,7,6,3,2,1,4] => [2,1,1,1,2]
[5,7,6,3,2,4,1] => [2,1,1,2,1]
[5,7,6,3,4,1,2] => [2,1,2,2]
[5,7,6,3,4,2,1] => [2,1,2,1,1]
[5,7,6,4,1,2,3] => [2,1,1,3]
[5,7,6,4,1,3,2] => [2,1,1,2,1]
[5,7,6,4,2,1,3] => [2,1,1,1,2]
[5,7,6,4,2,3,1] => [2,1,1,2,1]
[5,7,6,4,3,1,2] => [2,1,1,1,2]
[5,7,6,4,3,2,1] => [2,1,1,1,1,1]
[6,1,2,3,4,5,7] => [1,6]
[6,1,2,3,4,7,5] => [1,5,1]
[6,1,2,3,5,4,7] => [1,4,2]
[6,1,2,3,5,7,4] => [1,5,1]
[6,1,2,3,7,4,5] => [1,4,2]
[6,1,2,3,7,5,4] => [1,4,1,1]
[6,1,2,4,3,5,7] => [1,3,3]
[6,1,2,4,3,7,5] => [1,3,2,1]
[6,1,2,4,5,3,7] => [1,4,2]
[6,1,2,4,5,7,3] => [1,5,1]
[6,1,2,4,7,3,5] => [1,4,2]
[6,1,2,4,7,5,3] => [1,4,1,1]
[6,1,2,5,3,4,7] => [1,3,3]
[6,1,2,5,3,7,4] => [1,3,2,1]
[6,1,2,5,4,3,7] => [1,3,1,2]
[6,1,2,5,4,7,3] => [1,3,2,1]
[6,1,2,5,7,3,4] => [1,4,2]
[6,1,2,5,7,4,3] => [1,4,1,1]
[6,1,2,7,3,4,5] => [1,3,3]
[6,1,2,7,3,5,4] => [1,3,2,1]
[6,1,2,7,4,3,5] => [1,3,1,2]
[6,1,2,7,4,5,3] => [1,3,2,1]
[6,1,2,7,5,3,4] => [1,3,1,2]
[6,1,2,7,5,4,3] => [1,3,1,1,1]
[6,1,3,2,4,5,7] => [1,2,4]
[6,1,3,2,4,7,5] => [1,2,3,1]
[6,1,3,2,5,4,7] => [1,2,2,2]
[6,1,3,2,5,7,4] => [1,2,3,1]
[6,1,3,2,7,4,5] => [1,2,2,2]
[6,1,3,2,7,5,4] => [1,2,2,1,1]
[6,1,3,4,2,5,7] => [1,3,3]
[6,1,3,4,2,7,5] => [1,3,2,1]
[6,1,3,4,5,2,7] => [1,4,2]
[6,1,3,4,5,7,2] => [1,5,1]
[6,1,3,4,7,2,5] => [1,4,2]
[6,1,3,4,7,5,2] => [1,4,1,1]
[6,1,3,5,2,4,7] => [1,3,3]
[6,1,3,5,2,7,4] => [1,3,2,1]
[6,1,3,5,4,2,7] => [1,3,1,2]
[6,1,3,5,4,7,2] => [1,3,2,1]
[6,1,3,5,7,2,4] => [1,4,2]
[6,1,3,5,7,4,2] => [1,4,1,1]
[6,1,3,7,2,4,5] => [1,3,3]
[6,1,3,7,2,5,4] => [1,3,2,1]
[6,1,3,7,4,2,5] => [1,3,1,2]
[6,1,3,7,4,5,2] => [1,3,2,1]
[6,1,3,7,5,2,4] => [1,3,1,2]
[6,1,3,7,5,4,2] => [1,3,1,1,1]
[6,1,4,2,3,5,7] => [1,2,4]
[6,1,4,2,3,7,5] => [1,2,3,1]
[6,1,4,2,5,3,7] => [1,2,2,2]
[6,1,4,2,5,7,3] => [1,2,3,1]
[6,1,4,2,7,3,5] => [1,2,2,2]
[6,1,4,2,7,5,3] => [1,2,2,1,1]
[6,1,4,3,2,5,7] => [1,2,1,3]
[6,1,4,3,2,7,5] => [1,2,1,2,1]
[6,1,4,3,5,2,7] => [1,2,2,2]
[6,1,4,3,5,7,2] => [1,2,3,1]
[6,1,4,3,7,2,5] => [1,2,2,2]
[6,1,4,3,7,5,2] => [1,2,2,1,1]
[6,1,4,5,2,3,7] => [1,3,3]
[6,1,4,5,2,7,3] => [1,3,2,1]
[6,1,4,5,3,2,7] => [1,3,1,2]
[6,1,4,5,3,7,2] => [1,3,2,1]
[6,1,4,5,7,2,3] => [1,4,2]
[6,1,4,5,7,3,2] => [1,4,1,1]
[6,1,4,7,2,3,5] => [1,3,3]
[6,1,4,7,2,5,3] => [1,3,2,1]
[6,1,4,7,3,2,5] => [1,3,1,2]
[6,1,4,7,3,5,2] => [1,3,2,1]
[6,1,4,7,5,2,3] => [1,3,1,2]
[6,1,4,7,5,3,2] => [1,3,1,1,1]
[6,1,5,2,3,4,7] => [1,2,4]
[6,1,5,2,3,7,4] => [1,2,3,1]
[6,1,5,2,4,3,7] => [1,2,2,2]
[6,1,5,2,4,7,3] => [1,2,3,1]
[6,1,5,2,7,3,4] => [1,2,2,2]
[6,1,5,2,7,4,3] => [1,2,2,1,1]
[6,1,5,3,2,4,7] => [1,2,1,3]
[6,1,5,3,2,7,4] => [1,2,1,2,1]
[6,1,5,3,4,2,7] => [1,2,2,2]
[6,1,5,3,4,7,2] => [1,2,3,1]
[6,1,5,3,7,2,4] => [1,2,2,2]
[6,1,5,3,7,4,2] => [1,2,2,1,1]
[6,1,5,4,2,3,7] => [1,2,1,3]
[6,1,5,4,2,7,3] => [1,2,1,2,1]
[6,1,5,4,3,2,7] => [1,2,1,1,2]
[6,1,5,4,3,7,2] => [1,2,1,2,1]
[6,1,5,4,7,2,3] => [1,2,2,2]
[6,1,5,4,7,3,2] => [1,2,2,1,1]
[6,1,5,7,2,3,4] => [1,3,3]
[6,1,5,7,2,4,3] => [1,3,2,1]
[6,1,5,7,3,2,4] => [1,3,1,2]
[6,1,5,7,3,4,2] => [1,3,2,1]
[6,1,5,7,4,2,3] => [1,3,1,2]
[6,1,5,7,4,3,2] => [1,3,1,1,1]
[6,1,7,2,3,4,5] => [1,2,4]
[6,1,7,2,3,5,4] => [1,2,3,1]
[6,1,7,2,4,3,5] => [1,2,2,2]
[6,1,7,2,4,5,3] => [1,2,3,1]
[6,1,7,2,5,3,4] => [1,2,2,2]
[6,1,7,2,5,4,3] => [1,2,2,1,1]
[6,1,7,3,2,4,5] => [1,2,1,3]
[6,1,7,3,2,5,4] => [1,2,1,2,1]
[6,1,7,3,4,2,5] => [1,2,2,2]
[6,1,7,3,4,5,2] => [1,2,3,1]
[6,1,7,3,5,2,4] => [1,2,2,2]
[6,1,7,3,5,4,2] => [1,2,2,1,1]
[6,1,7,4,2,3,5] => [1,2,1,3]
[6,1,7,4,2,5,3] => [1,2,1,2,1]
[6,1,7,4,3,2,5] => [1,2,1,1,2]
[6,1,7,4,3,5,2] => [1,2,1,2,1]
[6,1,7,4,5,2,3] => [1,2,2,2]
[6,1,7,4,5,3,2] => [1,2,2,1,1]
[6,1,7,5,2,3,4] => [1,2,1,3]
[6,1,7,5,2,4,3] => [1,2,1,2,1]
[6,1,7,5,3,2,4] => [1,2,1,1,2]
[6,1,7,5,3,4,2] => [1,2,1,2,1]
[6,1,7,5,4,2,3] => [1,2,1,1,2]
[6,1,7,5,4,3,2] => [1,2,1,1,1,1]
[6,2,1,3,4,5,7] => [1,1,5]
[6,2,1,3,4,7,5] => [1,1,4,1]
[6,2,1,3,5,4,7] => [1,1,3,2]
[6,2,1,3,5,7,4] => [1,1,4,1]
[6,2,1,3,7,4,5] => [1,1,3,2]
[6,2,1,3,7,5,4] => [1,1,3,1,1]
[6,2,1,4,3,5,7] => [1,1,2,3]
[6,2,1,4,3,7,5] => [1,1,2,2,1]
[6,2,1,4,5,3,7] => [1,1,3,2]
[6,2,1,4,5,7,3] => [1,1,4,1]
[6,2,1,4,7,3,5] => [1,1,3,2]
[6,2,1,4,7,5,3] => [1,1,3,1,1]
[6,2,1,5,3,4,7] => [1,1,2,3]
[6,2,1,5,3,7,4] => [1,1,2,2,1]
[6,2,1,5,4,3,7] => [1,1,2,1,2]
[6,2,1,5,4,7,3] => [1,1,2,2,1]
[6,2,1,5,7,3,4] => [1,1,3,2]
[6,2,1,5,7,4,3] => [1,1,3,1,1]
[6,2,1,7,3,4,5] => [1,1,2,3]
[6,2,1,7,3,5,4] => [1,1,2,2,1]
[6,2,1,7,4,3,5] => [1,1,2,1,2]
[6,2,1,7,4,5,3] => [1,1,2,2,1]
[6,2,1,7,5,3,4] => [1,1,2,1,2]
[6,2,1,7,5,4,3] => [1,1,2,1,1,1]
[6,2,3,1,4,5,7] => [1,2,4]
[6,2,3,1,4,7,5] => [1,2,3,1]
[6,2,3,1,5,4,7] => [1,2,2,2]
[6,2,3,1,5,7,4] => [1,2,3,1]
[6,2,3,1,7,4,5] => [1,2,2,2]
[6,2,3,1,7,5,4] => [1,2,2,1,1]
[6,2,3,4,1,5,7] => [1,3,3]
[6,2,3,4,1,7,5] => [1,3,2,1]
[6,2,3,4,5,1,7] => [1,4,2]
[6,2,3,4,5,7,1] => [1,5,1]
[6,2,3,4,7,1,5] => [1,4,2]
[6,2,3,4,7,5,1] => [1,4,1,1]
[6,2,3,5,1,4,7] => [1,3,3]
[6,2,3,5,1,7,4] => [1,3,2,1]
[6,2,3,5,4,1,7] => [1,3,1,2]
[6,2,3,5,4,7,1] => [1,3,2,1]
[6,2,3,5,7,1,4] => [1,4,2]
[6,2,3,5,7,4,1] => [1,4,1,1]
[6,2,3,7,1,4,5] => [1,3,3]
[6,2,3,7,1,5,4] => [1,3,2,1]
[6,2,3,7,4,1,5] => [1,3,1,2]
[6,2,3,7,4,5,1] => [1,3,2,1]
[6,2,3,7,5,1,4] => [1,3,1,2]
[6,2,3,7,5,4,1] => [1,3,1,1,1]
[6,2,4,1,3,5,7] => [1,2,4]
[6,2,4,1,3,7,5] => [1,2,3,1]
[6,2,4,1,5,3,7] => [1,2,2,2]
[6,2,4,1,5,7,3] => [1,2,3,1]
[6,2,4,1,7,3,5] => [1,2,2,2]
[6,2,4,1,7,5,3] => [1,2,2,1,1]
[6,2,4,3,1,5,7] => [1,2,1,3]
[6,2,4,3,1,7,5] => [1,2,1,2,1]
[6,2,4,3,5,1,7] => [1,2,2,2]
[6,2,4,3,5,7,1] => [1,2,3,1]
[6,2,4,3,7,1,5] => [1,2,2,2]
[6,2,4,3,7,5,1] => [1,2,2,1,1]
[6,2,4,5,1,3,7] => [1,3,3]
[6,2,4,5,1,7,3] => [1,3,2,1]
[6,2,4,5,3,1,7] => [1,3,1,2]
[6,2,4,5,3,7,1] => [1,3,2,1]
[6,2,4,5,7,1,3] => [1,4,2]
[6,2,4,5,7,3,1] => [1,4,1,1]
[6,2,4,7,1,3,5] => [1,3,3]
[6,2,4,7,1,5,3] => [1,3,2,1]
[6,2,4,7,3,1,5] => [1,3,1,2]
[6,2,4,7,3,5,1] => [1,3,2,1]
[6,2,4,7,5,1,3] => [1,3,1,2]
[6,2,4,7,5,3,1] => [1,3,1,1,1]
[6,2,5,1,3,4,7] => [1,2,4]
[6,2,5,1,3,7,4] => [1,2,3,1]
[6,2,5,1,4,3,7] => [1,2,2,2]
[6,2,5,1,4,7,3] => [1,2,3,1]
[6,2,5,1,7,3,4] => [1,2,2,2]
[6,2,5,1,7,4,3] => [1,2,2,1,1]
[6,2,5,3,1,4,7] => [1,2,1,3]
[6,2,5,3,1,7,4] => [1,2,1,2,1]
[6,2,5,3,4,1,7] => [1,2,2,2]
[6,2,5,3,4,7,1] => [1,2,3,1]
[6,2,5,3,7,1,4] => [1,2,2,2]
[6,2,5,3,7,4,1] => [1,2,2,1,1]
[6,2,5,4,1,3,7] => [1,2,1,3]
[6,2,5,4,1,7,3] => [1,2,1,2,1]
[6,2,5,4,3,1,7] => [1,2,1,1,2]
[6,2,5,4,3,7,1] => [1,2,1,2,1]
[6,2,5,4,7,1,3] => [1,2,2,2]
[6,2,5,4,7,3,1] => [1,2,2,1,1]
[6,2,5,7,1,3,4] => [1,3,3]
[6,2,5,7,1,4,3] => [1,3,2,1]
[6,2,5,7,3,1,4] => [1,3,1,2]
[6,2,5,7,3,4,1] => [1,3,2,1]
[6,2,5,7,4,1,3] => [1,3,1,2]
[6,2,5,7,4,3,1] => [1,3,1,1,1]
[6,2,7,1,3,4,5] => [1,2,4]
[6,2,7,1,3,5,4] => [1,2,3,1]
[6,2,7,1,4,3,5] => [1,2,2,2]
[6,2,7,1,4,5,3] => [1,2,3,1]
[6,2,7,1,5,3,4] => [1,2,2,2]
[6,2,7,1,5,4,3] => [1,2,2,1,1]
[6,2,7,3,1,4,5] => [1,2,1,3]
[6,2,7,3,1,5,4] => [1,2,1,2,1]
[6,2,7,3,4,1,5] => [1,2,2,2]
[6,2,7,3,4,5,1] => [1,2,3,1]
[6,2,7,3,5,1,4] => [1,2,2,2]
[6,2,7,3,5,4,1] => [1,2,2,1,1]
[6,2,7,4,1,3,5] => [1,2,1,3]
[6,2,7,4,1,5,3] => [1,2,1,2,1]
[6,2,7,4,3,1,5] => [1,2,1,1,2]
[6,2,7,4,3,5,1] => [1,2,1,2,1]
[6,2,7,4,5,1,3] => [1,2,2,2]
[6,2,7,4,5,3,1] => [1,2,2,1,1]
[6,2,7,5,1,3,4] => [1,2,1,3]
[6,2,7,5,1,4,3] => [1,2,1,2,1]
[6,2,7,5,3,1,4] => [1,2,1,1,2]
[6,2,7,5,3,4,1] => [1,2,1,2,1]
[6,2,7,5,4,1,3] => [1,2,1,1,2]
[6,2,7,5,4,3,1] => [1,2,1,1,1,1]
[6,3,1,2,4,5,7] => [1,1,5]
[6,3,1,2,4,7,5] => [1,1,4,1]
[6,3,1,2,5,4,7] => [1,1,3,2]
[6,3,1,2,5,7,4] => [1,1,4,1]
[6,3,1,2,7,4,5] => [1,1,3,2]
[6,3,1,2,7,5,4] => [1,1,3,1,1]
[6,3,1,4,2,5,7] => [1,1,2,3]
[6,3,1,4,2,7,5] => [1,1,2,2,1]
[6,3,1,4,5,2,7] => [1,1,3,2]
[6,3,1,4,5,7,2] => [1,1,4,1]
[6,3,1,4,7,2,5] => [1,1,3,2]
[6,3,1,4,7,5,2] => [1,1,3,1,1]
[6,3,1,5,2,4,7] => [1,1,2,3]
[6,3,1,5,2,7,4] => [1,1,2,2,1]
[6,3,1,5,4,2,7] => [1,1,2,1,2]
[6,3,1,5,4,7,2] => [1,1,2,2,1]
[6,3,1,5,7,2,4] => [1,1,3,2]
[6,3,1,5,7,4,2] => [1,1,3,1,1]
[6,3,1,7,2,4,5] => [1,1,2,3]
[6,3,1,7,2,5,4] => [1,1,2,2,1]
[6,3,1,7,4,2,5] => [1,1,2,1,2]
[6,3,1,7,4,5,2] => [1,1,2,2,1]
[6,3,1,7,5,2,4] => [1,1,2,1,2]
[6,3,1,7,5,4,2] => [1,1,2,1,1,1]
[6,3,2,1,4,5,7] => [1,1,1,4]
[6,3,2,1,4,7,5] => [1,1,1,3,1]
[6,3,2,1,5,4,7] => [1,1,1,2,2]
[6,3,2,1,5,7,4] => [1,1,1,3,1]
[6,3,2,1,7,4,5] => [1,1,1,2,2]
[6,3,2,1,7,5,4] => [1,1,1,2,1,1]
[6,3,2,4,1,5,7] => [1,1,2,3]
[6,3,2,4,1,7,5] => [1,1,2,2,1]
[6,3,2,4,5,1,7] => [1,1,3,2]
[6,3,2,4,5,7,1] => [1,1,4,1]
[6,3,2,4,7,1,5] => [1,1,3,2]
[6,3,2,4,7,5,1] => [1,1,3,1,1]
[6,3,2,5,1,4,7] => [1,1,2,3]
[6,3,2,5,1,7,4] => [1,1,2,2,1]
[6,3,2,5,4,1,7] => [1,1,2,1,2]
[6,3,2,5,4,7,1] => [1,1,2,2,1]
[6,3,2,5,7,1,4] => [1,1,3,2]
[6,3,2,5,7,4,1] => [1,1,3,1,1]
[6,3,2,7,1,4,5] => [1,1,2,3]
[6,3,2,7,1,5,4] => [1,1,2,2,1]
[6,3,2,7,4,1,5] => [1,1,2,1,2]
[6,3,2,7,4,5,1] => [1,1,2,2,1]
[6,3,2,7,5,1,4] => [1,1,2,1,2]
[6,3,2,7,5,4,1] => [1,1,2,1,1,1]
[6,3,4,1,2,5,7] => [1,2,4]
[6,3,4,1,2,7,5] => [1,2,3,1]
[6,3,4,1,5,2,7] => [1,2,2,2]
[6,3,4,1,5,7,2] => [1,2,3,1]
[6,3,4,1,7,2,5] => [1,2,2,2]
[6,3,4,1,7,5,2] => [1,2,2,1,1]
[6,3,4,2,1,5,7] => [1,2,1,3]
[6,3,4,2,1,7,5] => [1,2,1,2,1]
[6,3,4,2,5,1,7] => [1,2,2,2]
[6,3,4,2,5,7,1] => [1,2,3,1]
[6,3,4,2,7,1,5] => [1,2,2,2]
[6,3,4,2,7,5,1] => [1,2,2,1,1]
[6,3,4,5,1,2,7] => [1,3,3]
[6,3,4,5,1,7,2] => [1,3,2,1]
[6,3,4,5,2,1,7] => [1,3,1,2]
[6,3,4,5,2,7,1] => [1,3,2,1]
[6,3,4,5,7,1,2] => [1,4,2]
[6,3,4,5,7,2,1] => [1,4,1,1]
[6,3,4,7,1,2,5] => [1,3,3]
[6,3,4,7,1,5,2] => [1,3,2,1]
[6,3,4,7,2,1,5] => [1,3,1,2]
[6,3,4,7,2,5,1] => [1,3,2,1]
[6,3,4,7,5,1,2] => [1,3,1,2]
[6,3,4,7,5,2,1] => [1,3,1,1,1]
[6,3,5,1,2,4,7] => [1,2,4]
[6,3,5,1,2,7,4] => [1,2,3,1]
[6,3,5,1,4,2,7] => [1,2,2,2]
[6,3,5,1,4,7,2] => [1,2,3,1]
[6,3,5,1,7,2,4] => [1,2,2,2]
[6,3,5,1,7,4,2] => [1,2,2,1,1]
[6,3,5,2,1,4,7] => [1,2,1,3]
[6,3,5,2,1,7,4] => [1,2,1,2,1]
[6,3,5,2,4,1,7] => [1,2,2,2]
[6,3,5,2,4,7,1] => [1,2,3,1]
[6,3,5,2,7,1,4] => [1,2,2,2]
[6,3,5,2,7,4,1] => [1,2,2,1,1]
[6,3,5,4,1,2,7] => [1,2,1,3]
[6,3,5,4,1,7,2] => [1,2,1,2,1]
[6,3,5,4,2,1,7] => [1,2,1,1,2]
[6,3,5,4,2,7,1] => [1,2,1,2,1]
[6,3,5,4,7,1,2] => [1,2,2,2]
[6,3,5,4,7,2,1] => [1,2,2,1,1]
[6,3,5,7,1,2,4] => [1,3,3]
[6,3,5,7,1,4,2] => [1,3,2,1]
[6,3,5,7,2,1,4] => [1,3,1,2]
[6,3,5,7,2,4,1] => [1,3,2,1]
[6,3,5,7,4,1,2] => [1,3,1,2]
[6,3,5,7,4,2,1] => [1,3,1,1,1]
[6,3,7,1,2,4,5] => [1,2,4]
[6,3,7,1,2,5,4] => [1,2,3,1]
[6,3,7,1,4,2,5] => [1,2,2,2]
[6,3,7,1,4,5,2] => [1,2,3,1]
[6,3,7,1,5,2,4] => [1,2,2,2]
[6,3,7,1,5,4,2] => [1,2,2,1,1]
[6,3,7,2,1,4,5] => [1,2,1,3]
[6,3,7,2,1,5,4] => [1,2,1,2,1]
[6,3,7,2,4,1,5] => [1,2,2,2]
[6,3,7,2,4,5,1] => [1,2,3,1]
[6,3,7,2,5,1,4] => [1,2,2,2]
[6,3,7,2,5,4,1] => [1,2,2,1,1]
[6,3,7,4,1,2,5] => [1,2,1,3]
[6,3,7,4,1,5,2] => [1,2,1,2,1]
[6,3,7,4,2,1,5] => [1,2,1,1,2]
[6,3,7,4,2,5,1] => [1,2,1,2,1]
[6,3,7,4,5,1,2] => [1,2,2,2]
[6,3,7,4,5,2,1] => [1,2,2,1,1]
[6,3,7,5,1,2,4] => [1,2,1,3]
[6,3,7,5,1,4,2] => [1,2,1,2,1]
[6,3,7,5,2,1,4] => [1,2,1,1,2]
[6,3,7,5,2,4,1] => [1,2,1,2,1]
[6,3,7,5,4,1,2] => [1,2,1,1,2]
[6,3,7,5,4,2,1] => [1,2,1,1,1,1]
[6,4,1,2,3,5,7] => [1,1,5]
[6,4,1,2,3,7,5] => [1,1,4,1]
[6,4,1,2,5,3,7] => [1,1,3,2]
[6,4,1,2,5,7,3] => [1,1,4,1]
[6,4,1,2,7,3,5] => [1,1,3,2]
[6,4,1,2,7,5,3] => [1,1,3,1,1]
[6,4,1,3,2,5,7] => [1,1,2,3]
[6,4,1,3,2,7,5] => [1,1,2,2,1]
[6,4,1,3,5,2,7] => [1,1,3,2]
[6,4,1,3,5,7,2] => [1,1,4,1]
[6,4,1,3,7,2,5] => [1,1,3,2]
[6,4,1,3,7,5,2] => [1,1,3,1,1]
[6,4,1,5,2,3,7] => [1,1,2,3]
[6,4,1,5,2,7,3] => [1,1,2,2,1]
[6,4,1,5,3,2,7] => [1,1,2,1,2]
[6,4,1,5,3,7,2] => [1,1,2,2,1]
[6,4,1,5,7,2,3] => [1,1,3,2]
[6,4,1,5,7,3,2] => [1,1,3,1,1]
[6,4,1,7,2,3,5] => [1,1,2,3]
[6,4,1,7,2,5,3] => [1,1,2,2,1]
[6,4,1,7,3,2,5] => [1,1,2,1,2]
[6,4,1,7,3,5,2] => [1,1,2,2,1]
[6,4,1,7,5,2,3] => [1,1,2,1,2]
[6,4,1,7,5,3,2] => [1,1,2,1,1,1]
[6,4,2,1,3,5,7] => [1,1,1,4]
[6,4,2,1,3,7,5] => [1,1,1,3,1]
[6,4,2,1,5,3,7] => [1,1,1,2,2]
[6,4,2,1,5,7,3] => [1,1,1,3,1]
[6,4,2,1,7,3,5] => [1,1,1,2,2]
[6,4,2,1,7,5,3] => [1,1,1,2,1,1]
[6,4,2,3,1,5,7] => [1,1,2,3]
[6,4,2,3,1,7,5] => [1,1,2,2,1]
[6,4,2,3,5,1,7] => [1,1,3,2]
[6,4,2,3,5,7,1] => [1,1,4,1]
[6,4,2,3,7,1,5] => [1,1,3,2]
[6,4,2,3,7,5,1] => [1,1,3,1,1]
[6,4,2,5,1,3,7] => [1,1,2,3]
[6,4,2,5,1,7,3] => [1,1,2,2,1]
[6,4,2,5,3,1,7] => [1,1,2,1,2]
[6,4,2,5,3,7,1] => [1,1,2,2,1]
[6,4,2,5,7,1,3] => [1,1,3,2]
[6,4,2,5,7,3,1] => [1,1,3,1,1]
[6,4,2,7,1,3,5] => [1,1,2,3]
[6,4,2,7,1,5,3] => [1,1,2,2,1]
[6,4,2,7,3,1,5] => [1,1,2,1,2]
[6,4,2,7,3,5,1] => [1,1,2,2,1]
[6,4,2,7,5,1,3] => [1,1,2,1,2]
[6,4,2,7,5,3,1] => [1,1,2,1,1,1]
[6,4,3,1,2,5,7] => [1,1,1,4]
[6,4,3,1,2,7,5] => [1,1,1,3,1]
[6,4,3,1,5,2,7] => [1,1,1,2,2]
[6,4,3,1,5,7,2] => [1,1,1,3,1]
[6,4,3,1,7,2,5] => [1,1,1,2,2]
[6,4,3,1,7,5,2] => [1,1,1,2,1,1]
[6,4,3,2,1,5,7] => [1,1,1,1,3]
[6,4,3,2,1,7,5] => [1,1,1,1,2,1]
[6,4,3,2,5,1,7] => [1,1,1,2,2]
[6,4,3,2,5,7,1] => [1,1,1,3,1]
[6,4,3,2,7,1,5] => [1,1,1,2,2]
[6,4,3,2,7,5,1] => [1,1,1,2,1,1]
[6,4,3,5,1,2,7] => [1,1,2,3]
[6,4,3,5,1,7,2] => [1,1,2,2,1]
[6,4,3,5,2,1,7] => [1,1,2,1,2]
[6,4,3,5,2,7,1] => [1,1,2,2,1]
[6,4,3,5,7,1,2] => [1,1,3,2]
[6,4,3,5,7,2,1] => [1,1,3,1,1]
[6,4,3,7,1,2,5] => [1,1,2,3]
[6,4,3,7,1,5,2] => [1,1,2,2,1]
[6,4,3,7,2,1,5] => [1,1,2,1,2]
[6,4,3,7,2,5,1] => [1,1,2,2,1]
[6,4,3,7,5,1,2] => [1,1,2,1,2]
[6,4,3,7,5,2,1] => [1,1,2,1,1,1]
[6,4,5,1,2,3,7] => [1,2,4]
[6,4,5,1,2,7,3] => [1,2,3,1]
[6,4,5,1,3,2,7] => [1,2,2,2]
[6,4,5,1,3,7,2] => [1,2,3,1]
[6,4,5,1,7,2,3] => [1,2,2,2]
[6,4,5,1,7,3,2] => [1,2,2,1,1]
[6,4,5,2,1,3,7] => [1,2,1,3]
[6,4,5,2,1,7,3] => [1,2,1,2,1]
[6,4,5,2,3,1,7] => [1,2,2,2]
[6,4,5,2,3,7,1] => [1,2,3,1]
[6,4,5,2,7,1,3] => [1,2,2,2]
[6,4,5,2,7,3,1] => [1,2,2,1,1]
[6,4,5,3,1,2,7] => [1,2,1,3]
[6,4,5,3,1,7,2] => [1,2,1,2,1]
[6,4,5,3,2,1,7] => [1,2,1,1,2]
[6,4,5,3,2,7,1] => [1,2,1,2,1]
[6,4,5,3,7,1,2] => [1,2,2,2]
[6,4,5,3,7,2,1] => [1,2,2,1,1]
[6,4,5,7,1,2,3] => [1,3,3]
[6,4,5,7,1,3,2] => [1,3,2,1]
[6,4,5,7,2,1,3] => [1,3,1,2]
[6,4,5,7,2,3,1] => [1,3,2,1]
[6,4,5,7,3,1,2] => [1,3,1,2]
[6,4,5,7,3,2,1] => [1,3,1,1,1]
[6,4,7,1,2,3,5] => [1,2,4]
[6,4,7,1,2,5,3] => [1,2,3,1]
[6,4,7,1,3,2,5] => [1,2,2,2]
[6,4,7,1,3,5,2] => [1,2,3,1]
[6,4,7,1,5,2,3] => [1,2,2,2]
[6,4,7,1,5,3,2] => [1,2,2,1,1]
[6,4,7,2,1,3,5] => [1,2,1,3]
[6,4,7,2,1,5,3] => [1,2,1,2,1]
[6,4,7,2,3,1,5] => [1,2,2,2]
[6,4,7,2,3,5,1] => [1,2,3,1]
[6,4,7,2,5,1,3] => [1,2,2,2]
[6,4,7,2,5,3,1] => [1,2,2,1,1]
[6,4,7,3,1,2,5] => [1,2,1,3]
[6,4,7,3,1,5,2] => [1,2,1,2,1]
[6,4,7,3,2,1,5] => [1,2,1,1,2]
[6,4,7,3,2,5,1] => [1,2,1,2,1]
[6,4,7,3,5,1,2] => [1,2,2,2]
[6,4,7,3,5,2,1] => [1,2,2,1,1]
[6,4,7,5,1,2,3] => [1,2,1,3]
[6,4,7,5,1,3,2] => [1,2,1,2,1]
[6,4,7,5,2,1,3] => [1,2,1,1,2]
[6,4,7,5,2,3,1] => [1,2,1,2,1]
[6,4,7,5,3,1,2] => [1,2,1,1,2]
[6,4,7,5,3,2,1] => [1,2,1,1,1,1]
[6,5,1,2,3,4,7] => [1,1,5]
[6,5,1,2,3,7,4] => [1,1,4,1]
[6,5,1,2,4,3,7] => [1,1,3,2]
[6,5,1,2,4,7,3] => [1,1,4,1]
[6,5,1,2,7,3,4] => [1,1,3,2]
[6,5,1,2,7,4,3] => [1,1,3,1,1]
[6,5,1,3,2,4,7] => [1,1,2,3]
[6,5,1,3,2,7,4] => [1,1,2,2,1]
[6,5,1,3,4,2,7] => [1,1,3,2]
[6,5,1,3,4,7,2] => [1,1,4,1]
[6,5,1,3,7,2,4] => [1,1,3,2]
[6,5,1,3,7,4,2] => [1,1,3,1,1]
[6,5,1,4,2,3,7] => [1,1,2,3]
[6,5,1,4,2,7,3] => [1,1,2,2,1]
[6,5,1,4,3,2,7] => [1,1,2,1,2]
[6,5,1,4,3,7,2] => [1,1,2,2,1]
[6,5,1,4,7,2,3] => [1,1,3,2]
[6,5,1,4,7,3,2] => [1,1,3,1,1]
[6,5,1,7,2,3,4] => [1,1,2,3]
[6,5,1,7,2,4,3] => [1,1,2,2,1]
[6,5,1,7,3,2,4] => [1,1,2,1,2]
[6,5,1,7,3,4,2] => [1,1,2,2,1]
[6,5,1,7,4,2,3] => [1,1,2,1,2]
[6,5,1,7,4,3,2] => [1,1,2,1,1,1]
[6,5,2,1,3,4,7] => [1,1,1,4]
[6,5,2,1,3,7,4] => [1,1,1,3,1]
[6,5,2,1,4,3,7] => [1,1,1,2,2]
[6,5,2,1,4,7,3] => [1,1,1,3,1]
[6,5,2,1,7,3,4] => [1,1,1,2,2]
[6,5,2,1,7,4,3] => [1,1,1,2,1,1]
[6,5,2,3,1,4,7] => [1,1,2,3]
[6,5,2,3,1,7,4] => [1,1,2,2,1]
[6,5,2,3,4,1,7] => [1,1,3,2]
[6,5,2,3,4,7,1] => [1,1,4,1]
[6,5,2,3,7,1,4] => [1,1,3,2]
[6,5,2,3,7,4,1] => [1,1,3,1,1]
[6,5,2,4,1,3,7] => [1,1,2,3]
[6,5,2,4,1,7,3] => [1,1,2,2,1]
[6,5,2,4,3,1,7] => [1,1,2,1,2]
[6,5,2,4,3,7,1] => [1,1,2,2,1]
[6,5,2,4,7,1,3] => [1,1,3,2]
[6,5,2,4,7,3,1] => [1,1,3,1,1]
[6,5,2,7,1,3,4] => [1,1,2,3]
[6,5,2,7,1,4,3] => [1,1,2,2,1]
[6,5,2,7,3,1,4] => [1,1,2,1,2]
[6,5,2,7,3,4,1] => [1,1,2,2,1]
[6,5,2,7,4,1,3] => [1,1,2,1,2]
[6,5,2,7,4,3,1] => [1,1,2,1,1,1]
[6,5,3,1,2,4,7] => [1,1,1,4]
[6,5,3,1,2,7,4] => [1,1,1,3,1]
[6,5,3,1,4,2,7] => [1,1,1,2,2]
[6,5,3,1,4,7,2] => [1,1,1,3,1]
[6,5,3,1,7,2,4] => [1,1,1,2,2]
[6,5,3,1,7,4,2] => [1,1,1,2,1,1]
[6,5,3,2,1,4,7] => [1,1,1,1,3]
[6,5,3,2,1,7,4] => [1,1,1,1,2,1]
[6,5,3,2,4,1,7] => [1,1,1,2,2]
[6,5,3,2,4,7,1] => [1,1,1,3,1]
[6,5,3,2,7,1,4] => [1,1,1,2,2]
[6,5,3,2,7,4,1] => [1,1,1,2,1,1]
[6,5,3,4,1,2,7] => [1,1,2,3]
[6,5,3,4,1,7,2] => [1,1,2,2,1]
[6,5,3,4,2,1,7] => [1,1,2,1,2]
[6,5,3,4,2,7,1] => [1,1,2,2,1]
[6,5,3,4,7,1,2] => [1,1,3,2]
[6,5,3,4,7,2,1] => [1,1,3,1,1]
[6,5,3,7,1,2,4] => [1,1,2,3]
[6,5,3,7,1,4,2] => [1,1,2,2,1]
[6,5,3,7,2,1,4] => [1,1,2,1,2]
[6,5,3,7,2,4,1] => [1,1,2,2,1]
[6,5,3,7,4,1,2] => [1,1,2,1,2]
[6,5,3,7,4,2,1] => [1,1,2,1,1,1]
[6,5,4,1,2,3,7] => [1,1,1,4]
[6,5,4,1,2,7,3] => [1,1,1,3,1]
[6,5,4,1,3,2,7] => [1,1,1,2,2]
[6,5,4,1,3,7,2] => [1,1,1,3,1]
[6,5,4,1,7,2,3] => [1,1,1,2,2]
[6,5,4,1,7,3,2] => [1,1,1,2,1,1]
[6,5,4,2,1,3,7] => [1,1,1,1,3]
[6,5,4,2,1,7,3] => [1,1,1,1,2,1]
[6,5,4,2,3,1,7] => [1,1,1,2,2]
[6,5,4,2,3,7,1] => [1,1,1,3,1]
[6,5,4,2,7,1,3] => [1,1,1,2,2]
[6,5,4,2,7,3,1] => [1,1,1,2,1,1]
[6,5,4,3,1,2,7] => [1,1,1,1,3]
[6,5,4,3,1,7,2] => [1,1,1,1,2,1]
[6,5,4,3,2,1,7] => [1,1,1,1,1,2]
[6,5,4,3,2,7,1] => [1,1,1,1,2,1]
[6,5,4,3,7,1,2] => [1,1,1,2,2]
[6,5,4,3,7,2,1] => [1,1,1,2,1,1]
[6,5,4,7,1,2,3] => [1,1,2,3]
[6,5,4,7,1,3,2] => [1,1,2,2,1]
[6,5,4,7,2,1,3] => [1,1,2,1,2]
[6,5,4,7,2,3,1] => [1,1,2,2,1]
[6,5,4,7,3,1,2] => [1,1,2,1,2]
[6,5,4,7,3,2,1] => [1,1,2,1,1,1]
[6,5,7,1,2,3,4] => [1,2,4]
[6,5,7,1,2,4,3] => [1,2,3,1]
[6,5,7,1,3,2,4] => [1,2,2,2]
[6,5,7,1,3,4,2] => [1,2,3,1]
[6,5,7,1,4,2,3] => [1,2,2,2]
[6,5,7,1,4,3,2] => [1,2,2,1,1]
[6,5,7,2,1,3,4] => [1,2,1,3]
[6,5,7,2,1,4,3] => [1,2,1,2,1]
[6,5,7,2,3,1,4] => [1,2,2,2]
[6,5,7,2,3,4,1] => [1,2,3,1]
[6,5,7,2,4,1,3] => [1,2,2,2]
[6,5,7,2,4,3,1] => [1,2,2,1,1]
[6,5,7,3,1,2,4] => [1,2,1,3]
[6,5,7,3,1,4,2] => [1,2,1,2,1]
[6,5,7,3,2,1,4] => [1,2,1,1,2]
[6,5,7,3,2,4,1] => [1,2,1,2,1]
[6,5,7,3,4,1,2] => [1,2,2,2]
[6,5,7,3,4,2,1] => [1,2,2,1,1]
[6,5,7,4,1,2,3] => [1,2,1,3]
[6,5,7,4,1,3,2] => [1,2,1,2,1]
[6,5,7,4,2,1,3] => [1,2,1,1,2]
[6,5,7,4,2,3,1] => [1,2,1,2,1]
[6,5,7,4,3,1,2] => [1,2,1,1,2]
[6,5,7,4,3,2,1] => [1,2,1,1,1,1]
[6,7,1,2,3,4,5] => [2,5]
[6,7,1,2,3,5,4] => [2,4,1]
[6,7,1,2,4,3,5] => [2,3,2]
[6,7,1,2,4,5,3] => [2,4,1]
[6,7,1,2,5,3,4] => [2,3,2]
[6,7,1,2,5,4,3] => [2,3,1,1]
[6,7,1,3,2,4,5] => [2,2,3]
[6,7,1,3,2,5,4] => [2,2,2,1]
[6,7,1,3,4,2,5] => [2,3,2]
[6,7,1,3,4,5,2] => [2,4,1]
[6,7,1,3,5,2,4] => [2,3,2]
[6,7,1,3,5,4,2] => [2,3,1,1]
[6,7,1,4,2,3,5] => [2,2,3]
[6,7,1,4,2,5,3] => [2,2,2,1]
[6,7,1,4,3,2,5] => [2,2,1,2]
[6,7,1,4,3,5,2] => [2,2,2,1]
[6,7,1,4,5,2,3] => [2,3,2]
[6,7,1,4,5,3,2] => [2,3,1,1]
[6,7,1,5,2,3,4] => [2,2,3]
[6,7,1,5,2,4,3] => [2,2,2,1]
[6,7,1,5,3,2,4] => [2,2,1,2]
[6,7,1,5,3,4,2] => [2,2,2,1]
[6,7,1,5,4,2,3] => [2,2,1,2]
[6,7,1,5,4,3,2] => [2,2,1,1,1]
[6,7,2,1,3,4,5] => [2,1,4]
[6,7,2,1,3,5,4] => [2,1,3,1]
[6,7,2,1,4,3,5] => [2,1,2,2]
[6,7,2,1,4,5,3] => [2,1,3,1]
[6,7,2,1,5,3,4] => [2,1,2,2]
[6,7,2,1,5,4,3] => [2,1,2,1,1]
[6,7,2,3,1,4,5] => [2,2,3]
[6,7,2,3,1,5,4] => [2,2,2,1]
[6,7,2,3,4,1,5] => [2,3,2]
[6,7,2,3,4,5,1] => [2,4,1]
[6,7,2,3,5,1,4] => [2,3,2]
[6,7,2,3,5,4,1] => [2,3,1,1]
[6,7,2,4,1,3,5] => [2,2,3]
[6,7,2,4,1,5,3] => [2,2,2,1]
[6,7,2,4,3,1,5] => [2,2,1,2]
[6,7,2,4,3,5,1] => [2,2,2,1]
[6,7,2,4,5,1,3] => [2,3,2]
[6,7,2,4,5,3,1] => [2,3,1,1]
[6,7,2,5,1,3,4] => [2,2,3]
[6,7,2,5,1,4,3] => [2,2,2,1]
[6,7,2,5,3,1,4] => [2,2,1,2]
[6,7,2,5,3,4,1] => [2,2,2,1]
[6,7,2,5,4,1,3] => [2,2,1,2]
[6,7,2,5,4,3,1] => [2,2,1,1,1]
[6,7,3,1,2,4,5] => [2,1,4]
[6,7,3,1,2,5,4] => [2,1,3,1]
[6,7,3,1,4,2,5] => [2,1,2,2]
[6,7,3,1,4,5,2] => [2,1,3,1]
[6,7,3,1,5,2,4] => [2,1,2,2]
[6,7,3,1,5,4,2] => [2,1,2,1,1]
[6,7,3,2,1,4,5] => [2,1,1,3]
[6,7,3,2,1,5,4] => [2,1,1,2,1]
[6,7,3,2,4,1,5] => [2,1,2,2]
[6,7,3,2,4,5,1] => [2,1,3,1]
[6,7,3,2,5,1,4] => [2,1,2,2]
[6,7,3,2,5,4,1] => [2,1,2,1,1]
[6,7,3,4,1,2,5] => [2,2,3]
[6,7,3,4,1,5,2] => [2,2,2,1]
[6,7,3,4,2,1,5] => [2,2,1,2]
[6,7,3,4,2,5,1] => [2,2,2,1]
[6,7,3,4,5,1,2] => [2,3,2]
[6,7,3,4,5,2,1] => [2,3,1,1]
[6,7,3,5,1,2,4] => [2,2,3]
[6,7,3,5,1,4,2] => [2,2,2,1]
[6,7,3,5,2,1,4] => [2,2,1,2]
[6,7,3,5,2,4,1] => [2,2,2,1]
[6,7,3,5,4,1,2] => [2,2,1,2]
[6,7,3,5,4,2,1] => [2,2,1,1,1]
[6,7,4,1,2,3,5] => [2,1,4]
[6,7,4,1,2,5,3] => [2,1,3,1]
[6,7,4,1,3,2,5] => [2,1,2,2]
[6,7,4,1,3,5,2] => [2,1,3,1]
[6,7,4,1,5,2,3] => [2,1,2,2]
[6,7,4,1,5,3,2] => [2,1,2,1,1]
[6,7,4,2,1,3,5] => [2,1,1,3]
[6,7,4,2,1,5,3] => [2,1,1,2,1]
[6,7,4,2,3,1,5] => [2,1,2,2]
[6,7,4,2,3,5,1] => [2,1,3,1]
[6,7,4,2,5,1,3] => [2,1,2,2]
[6,7,4,2,5,3,1] => [2,1,2,1,1]
[6,7,4,3,1,2,5] => [2,1,1,3]
[6,7,4,3,1,5,2] => [2,1,1,2,1]
[6,7,4,3,2,1,5] => [2,1,1,1,2]
[6,7,4,3,2,5,1] => [2,1,1,2,1]
[6,7,4,3,5,1,2] => [2,1,2,2]
[6,7,4,3,5,2,1] => [2,1,2,1,1]
[6,7,4,5,1,2,3] => [2,2,3]
[6,7,4,5,1,3,2] => [2,2,2,1]
[6,7,4,5,2,1,3] => [2,2,1,2]
[6,7,4,5,2,3,1] => [2,2,2,1]
[6,7,4,5,3,1,2] => [2,2,1,2]
[6,7,4,5,3,2,1] => [2,2,1,1,1]
[6,7,5,1,2,3,4] => [2,1,4]
[6,7,5,1,2,4,3] => [2,1,3,1]
[6,7,5,1,3,2,4] => [2,1,2,2]
[6,7,5,1,3,4,2] => [2,1,3,1]
[6,7,5,1,4,2,3] => [2,1,2,2]
[6,7,5,1,4,3,2] => [2,1,2,1,1]
[6,7,5,2,1,3,4] => [2,1,1,3]
[6,7,5,2,1,4,3] => [2,1,1,2,1]
[6,7,5,2,3,1,4] => [2,1,2,2]
[6,7,5,2,3,4,1] => [2,1,3,1]
[6,7,5,2,4,1,3] => [2,1,2,2]
[6,7,5,2,4,3,1] => [2,1,2,1,1]
[6,7,5,3,1,2,4] => [2,1,1,3]
[6,7,5,3,1,4,2] => [2,1,1,2,1]
[6,7,5,3,2,1,4] => [2,1,1,1,2]
[6,7,5,3,2,4,1] => [2,1,1,2,1]
[6,7,5,3,4,1,2] => [2,1,2,2]
[6,7,5,3,4,2,1] => [2,1,2,1,1]
[6,7,5,4,1,2,3] => [2,1,1,3]
[6,7,5,4,1,3,2] => [2,1,1,2,1]
[6,7,5,4,2,1,3] => [2,1,1,1,2]
[6,7,5,4,2,3,1] => [2,1,1,2,1]
[6,7,5,4,3,1,2] => [2,1,1,1,2]
[6,7,5,4,3,2,1] => [2,1,1,1,1,1]
[7,1,2,3,4,5,6] => [1,6]
[7,1,2,3,4,6,5] => [1,5,1]
[7,1,2,3,5,4,6] => [1,4,2]
[7,1,2,3,5,6,4] => [1,5,1]
[7,1,2,3,6,4,5] => [1,4,2]
[7,1,2,3,6,5,4] => [1,4,1,1]
[7,1,2,4,3,5,6] => [1,3,3]
[7,1,2,4,3,6,5] => [1,3,2,1]
[7,1,2,4,5,3,6] => [1,4,2]
[7,1,2,4,5,6,3] => [1,5,1]
[7,1,2,4,6,3,5] => [1,4,2]
[7,1,2,4,6,5,3] => [1,4,1,1]
[7,1,2,5,3,4,6] => [1,3,3]
[7,1,2,5,3,6,4] => [1,3,2,1]
[7,1,2,5,4,3,6] => [1,3,1,2]
[7,1,2,5,4,6,3] => [1,3,2,1]
[7,1,2,5,6,3,4] => [1,4,2]
[7,1,2,5,6,4,3] => [1,4,1,1]
[7,1,2,6,3,4,5] => [1,3,3]
[7,1,2,6,3,5,4] => [1,3,2,1]
[7,1,2,6,4,3,5] => [1,3,1,2]
[7,1,2,6,4,5,3] => [1,3,2,1]
[7,1,2,6,5,3,4] => [1,3,1,2]
[7,1,2,6,5,4,3] => [1,3,1,1,1]
[7,1,3,2,4,5,6] => [1,2,4]
[7,1,3,2,4,6,5] => [1,2,3,1]
[7,1,3,2,5,4,6] => [1,2,2,2]
[7,1,3,2,5,6,4] => [1,2,3,1]
[7,1,3,2,6,4,5] => [1,2,2,2]
[7,1,3,2,6,5,4] => [1,2,2,1,1]
[7,1,3,4,2,5,6] => [1,3,3]
[7,1,3,4,2,6,5] => [1,3,2,1]
[7,1,3,4,5,2,6] => [1,4,2]
[7,1,3,4,5,6,2] => [1,5,1]
[7,1,3,4,6,2,5] => [1,4,2]
[7,1,3,4,6,5,2] => [1,4,1,1]
[7,1,3,5,2,4,6] => [1,3,3]
[7,1,3,5,2,6,4] => [1,3,2,1]
[7,1,3,5,4,2,6] => [1,3,1,2]
[7,1,3,5,4,6,2] => [1,3,2,1]
[7,1,3,5,6,2,4] => [1,4,2]
[7,1,3,5,6,4,2] => [1,4,1,1]
[7,1,3,6,2,4,5] => [1,3,3]
[7,1,3,6,2,5,4] => [1,3,2,1]
[7,1,3,6,4,2,5] => [1,3,1,2]
[7,1,3,6,4,5,2] => [1,3,2,1]
[7,1,3,6,5,2,4] => [1,3,1,2]
[7,1,3,6,5,4,2] => [1,3,1,1,1]
[7,1,4,2,3,5,6] => [1,2,4]
[7,1,4,2,3,6,5] => [1,2,3,1]
[7,1,4,2,5,3,6] => [1,2,2,2]
[7,1,4,2,5,6,3] => [1,2,3,1]
[7,1,4,2,6,3,5] => [1,2,2,2]
[7,1,4,2,6,5,3] => [1,2,2,1,1]
[7,1,4,3,2,5,6] => [1,2,1,3]
[7,1,4,3,2,6,5] => [1,2,1,2,1]
[7,1,4,3,5,2,6] => [1,2,2,2]
[7,1,4,3,5,6,2] => [1,2,3,1]
[7,1,4,3,6,2,5] => [1,2,2,2]
[7,1,4,3,6,5,2] => [1,2,2,1,1]
[7,1,4,5,2,3,6] => [1,3,3]
[7,1,4,5,2,6,3] => [1,3,2,1]
[7,1,4,5,3,2,6] => [1,3,1,2]
[7,1,4,5,3,6,2] => [1,3,2,1]
[7,1,4,5,6,2,3] => [1,4,2]
[7,1,4,5,6,3,2] => [1,4,1,1]
[7,1,4,6,2,3,5] => [1,3,3]
[7,1,4,6,2,5,3] => [1,3,2,1]
[7,1,4,6,3,2,5] => [1,3,1,2]
[7,1,4,6,3,5,2] => [1,3,2,1]
[7,1,4,6,5,2,3] => [1,3,1,2]
[7,1,4,6,5,3,2] => [1,3,1,1,1]
[7,1,5,2,3,4,6] => [1,2,4]
[7,1,5,2,3,6,4] => [1,2,3,1]
[7,1,5,2,4,3,6] => [1,2,2,2]
[7,1,5,2,4,6,3] => [1,2,3,1]
[7,1,5,2,6,3,4] => [1,2,2,2]
[7,1,5,2,6,4,3] => [1,2,2,1,1]
[7,1,5,3,2,4,6] => [1,2,1,3]
[7,1,5,3,2,6,4] => [1,2,1,2,1]
[7,1,5,3,4,2,6] => [1,2,2,2]
[7,1,5,3,4,6,2] => [1,2,3,1]
[7,1,5,3,6,2,4] => [1,2,2,2]
[7,1,5,3,6,4,2] => [1,2,2,1,1]
[7,1,5,4,2,3,6] => [1,2,1,3]
[7,1,5,4,2,6,3] => [1,2,1,2,1]
[7,1,5,4,3,2,6] => [1,2,1,1,2]
[7,1,5,4,3,6,2] => [1,2,1,2,1]
[7,1,5,4,6,2,3] => [1,2,2,2]
[7,1,5,4,6,3,2] => [1,2,2,1,1]
[7,1,5,6,2,3,4] => [1,3,3]
[7,1,5,6,2,4,3] => [1,3,2,1]
[7,1,5,6,3,2,4] => [1,3,1,2]
[7,1,5,6,3,4,2] => [1,3,2,1]
[7,1,5,6,4,2,3] => [1,3,1,2]
[7,1,5,6,4,3,2] => [1,3,1,1,1]
[7,1,6,2,3,4,5] => [1,2,4]
[7,1,6,2,3,5,4] => [1,2,3,1]
[7,1,6,2,4,3,5] => [1,2,2,2]
[7,1,6,2,4,5,3] => [1,2,3,1]
[7,1,6,2,5,3,4] => [1,2,2,2]
[7,1,6,2,5,4,3] => [1,2,2,1,1]
[7,1,6,3,2,4,5] => [1,2,1,3]
[7,1,6,3,2,5,4] => [1,2,1,2,1]
[7,1,6,3,4,2,5] => [1,2,2,2]
[7,1,6,3,4,5,2] => [1,2,3,1]
[7,1,6,3,5,2,4] => [1,2,2,2]
[7,1,6,3,5,4,2] => [1,2,2,1,1]
[7,1,6,4,2,3,5] => [1,2,1,3]
[7,1,6,4,2,5,3] => [1,2,1,2,1]
[7,1,6,4,3,2,5] => [1,2,1,1,2]
[7,1,6,4,3,5,2] => [1,2,1,2,1]
[7,1,6,4,5,2,3] => [1,2,2,2]
[7,1,6,4,5,3,2] => [1,2,2,1,1]
[7,1,6,5,2,3,4] => [1,2,1,3]
[7,1,6,5,2,4,3] => [1,2,1,2,1]
[7,1,6,5,3,2,4] => [1,2,1,1,2]
[7,1,6,5,3,4,2] => [1,2,1,2,1]
[7,1,6,5,4,2,3] => [1,2,1,1,2]
[7,1,6,5,4,3,2] => [1,2,1,1,1,1]
[7,2,1,3,4,5,6] => [1,1,5]
[7,2,1,3,4,6,5] => [1,1,4,1]
[7,2,1,3,5,4,6] => [1,1,3,2]
[7,2,1,3,5,6,4] => [1,1,4,1]
[7,2,1,3,6,4,5] => [1,1,3,2]
[7,2,1,3,6,5,4] => [1,1,3,1,1]
[7,2,1,4,3,5,6] => [1,1,2,3]
[7,2,1,4,3,6,5] => [1,1,2,2,1]
[7,2,1,4,5,3,6] => [1,1,3,2]
[7,2,1,4,5,6,3] => [1,1,4,1]
[7,2,1,4,6,3,5] => [1,1,3,2]
[7,2,1,4,6,5,3] => [1,1,3,1,1]
[7,2,1,5,3,4,6] => [1,1,2,3]
[7,2,1,5,3,6,4] => [1,1,2,2,1]
[7,2,1,5,4,3,6] => [1,1,2,1,2]
[7,2,1,5,4,6,3] => [1,1,2,2,1]
[7,2,1,5,6,3,4] => [1,1,3,2]
[7,2,1,5,6,4,3] => [1,1,3,1,1]
[7,2,1,6,3,4,5] => [1,1,2,3]
[7,2,1,6,3,5,4] => [1,1,2,2,1]
[7,2,1,6,4,3,5] => [1,1,2,1,2]
[7,2,1,6,4,5,3] => [1,1,2,2,1]
[7,2,1,6,5,3,4] => [1,1,2,1,2]
[7,2,1,6,5,4,3] => [1,1,2,1,1,1]
[7,2,3,1,4,5,6] => [1,2,4]
[7,2,3,1,4,6,5] => [1,2,3,1]
[7,2,3,1,5,4,6] => [1,2,2,2]
[7,2,3,1,5,6,4] => [1,2,3,1]
[7,2,3,1,6,4,5] => [1,2,2,2]
[7,2,3,1,6,5,4] => [1,2,2,1,1]
[7,2,3,4,1,5,6] => [1,3,3]
[7,2,3,4,1,6,5] => [1,3,2,1]
[7,2,3,4,5,1,6] => [1,4,2]
[7,2,3,4,5,6,1] => [1,5,1]
[7,2,3,4,6,1,5] => [1,4,2]
[7,2,3,4,6,5,1] => [1,4,1,1]
[7,2,3,5,1,4,6] => [1,3,3]
[7,2,3,5,1,6,4] => [1,3,2,1]
[7,2,3,5,4,1,6] => [1,3,1,2]
[7,2,3,5,4,6,1] => [1,3,2,1]
[7,2,3,5,6,1,4] => [1,4,2]
[7,2,3,5,6,4,1] => [1,4,1,1]
[7,2,3,6,1,4,5] => [1,3,3]
[7,2,3,6,1,5,4] => [1,3,2,1]
[7,2,3,6,4,1,5] => [1,3,1,2]
[7,2,3,6,4,5,1] => [1,3,2,1]
[7,2,3,6,5,1,4] => [1,3,1,2]
[7,2,3,6,5,4,1] => [1,3,1,1,1]
[7,2,4,1,3,5,6] => [1,2,4]
[7,2,4,1,3,6,5] => [1,2,3,1]
[7,2,4,1,5,3,6] => [1,2,2,2]
[7,2,4,1,5,6,3] => [1,2,3,1]
[7,2,4,1,6,3,5] => [1,2,2,2]
[7,2,4,1,6,5,3] => [1,2,2,1,1]
[7,2,4,3,1,5,6] => [1,2,1,3]
[7,2,4,3,1,6,5] => [1,2,1,2,1]
[7,2,4,3,5,1,6] => [1,2,2,2]
[7,2,4,3,5,6,1] => [1,2,3,1]
[7,2,4,3,6,1,5] => [1,2,2,2]
[7,2,4,3,6,5,1] => [1,2,2,1,1]
[7,2,4,5,1,3,6] => [1,3,3]
[7,2,4,5,1,6,3] => [1,3,2,1]
[7,2,4,5,3,1,6] => [1,3,1,2]
[7,2,4,5,3,6,1] => [1,3,2,1]
[7,2,4,5,6,1,3] => [1,4,2]
[7,2,4,5,6,3,1] => [1,4,1,1]
[7,2,4,6,1,3,5] => [1,3,3]
[7,2,4,6,1,5,3] => [1,3,2,1]
[7,2,4,6,3,1,5] => [1,3,1,2]
[7,2,4,6,3,5,1] => [1,3,2,1]
[7,2,4,6,5,1,3] => [1,3,1,2]
[7,2,4,6,5,3,1] => [1,3,1,1,1]
[7,2,5,1,3,4,6] => [1,2,4]
[7,2,5,1,3,6,4] => [1,2,3,1]
[7,2,5,1,4,3,6] => [1,2,2,2]
[7,2,5,1,4,6,3] => [1,2,3,1]
[7,2,5,1,6,3,4] => [1,2,2,2]
[7,2,5,1,6,4,3] => [1,2,2,1,1]
[7,2,5,3,1,4,6] => [1,2,1,3]
[7,2,5,3,1,6,4] => [1,2,1,2,1]
[7,2,5,3,4,1,6] => [1,2,2,2]
[7,2,5,3,4,6,1] => [1,2,3,1]
[7,2,5,3,6,1,4] => [1,2,2,2]
[7,2,5,3,6,4,1] => [1,2,2,1,1]
[7,2,5,4,1,3,6] => [1,2,1,3]
[7,2,5,4,1,6,3] => [1,2,1,2,1]
[7,2,5,4,3,1,6] => [1,2,1,1,2]
[7,2,5,4,3,6,1] => [1,2,1,2,1]
[7,2,5,4,6,1,3] => [1,2,2,2]
[7,2,5,4,6,3,1] => [1,2,2,1,1]
[7,2,5,6,1,3,4] => [1,3,3]
[7,2,5,6,1,4,3] => [1,3,2,1]
[7,2,5,6,3,1,4] => [1,3,1,2]
[7,2,5,6,3,4,1] => [1,3,2,1]
[7,2,5,6,4,1,3] => [1,3,1,2]
[7,2,5,6,4,3,1] => [1,3,1,1,1]
[7,2,6,1,3,4,5] => [1,2,4]
[7,2,6,1,3,5,4] => [1,2,3,1]
[7,2,6,1,4,3,5] => [1,2,2,2]
[7,2,6,1,4,5,3] => [1,2,3,1]
[7,2,6,1,5,3,4] => [1,2,2,2]
[7,2,6,1,5,4,3] => [1,2,2,1,1]
[7,2,6,3,1,4,5] => [1,2,1,3]
[7,2,6,3,1,5,4] => [1,2,1,2,1]
[7,2,6,3,4,1,5] => [1,2,2,2]
[7,2,6,3,4,5,1] => [1,2,3,1]
[7,2,6,3,5,1,4] => [1,2,2,2]
[7,2,6,3,5,4,1] => [1,2,2,1,1]
[7,2,6,4,1,3,5] => [1,2,1,3]
[7,2,6,4,1,5,3] => [1,2,1,2,1]
[7,2,6,4,3,1,5] => [1,2,1,1,2]
[7,2,6,4,3,5,1] => [1,2,1,2,1]
[7,2,6,4,5,1,3] => [1,2,2,2]
[7,2,6,4,5,3,1] => [1,2,2,1,1]
[7,2,6,5,1,3,4] => [1,2,1,3]
[7,2,6,5,1,4,3] => [1,2,1,2,1]
[7,2,6,5,3,1,4] => [1,2,1,1,2]
[7,2,6,5,3,4,1] => [1,2,1,2,1]
[7,2,6,5,4,1,3] => [1,2,1,1,2]
[7,2,6,5,4,3,1] => [1,2,1,1,1,1]
[7,3,1,2,4,5,6] => [1,1,5]
[7,3,1,2,4,6,5] => [1,1,4,1]
[7,3,1,2,5,4,6] => [1,1,3,2]
[7,3,1,2,5,6,4] => [1,1,4,1]
[7,3,1,2,6,4,5] => [1,1,3,2]
[7,3,1,2,6,5,4] => [1,1,3,1,1]
[7,3,1,4,2,5,6] => [1,1,2,3]
[7,3,1,4,2,6,5] => [1,1,2,2,1]
[7,3,1,4,5,2,6] => [1,1,3,2]
[7,3,1,4,5,6,2] => [1,1,4,1]
[7,3,1,4,6,2,5] => [1,1,3,2]
[7,3,1,4,6,5,2] => [1,1,3,1,1]
[7,3,1,5,2,4,6] => [1,1,2,3]
[7,3,1,5,2,6,4] => [1,1,2,2,1]
[7,3,1,5,4,2,6] => [1,1,2,1,2]
[7,3,1,5,4,6,2] => [1,1,2,2,1]
[7,3,1,5,6,2,4] => [1,1,3,2]
[7,3,1,5,6,4,2] => [1,1,3,1,1]
[7,3,1,6,2,4,5] => [1,1,2,3]
[7,3,1,6,2,5,4] => [1,1,2,2,1]
[7,3,1,6,4,2,5] => [1,1,2,1,2]
[7,3,1,6,4,5,2] => [1,1,2,2,1]
[7,3,1,6,5,2,4] => [1,1,2,1,2]
[7,3,1,6,5,4,2] => [1,1,2,1,1,1]
[7,3,2,1,4,5,6] => [1,1,1,4]
[7,3,2,1,4,6,5] => [1,1,1,3,1]
[7,3,2,1,5,4,6] => [1,1,1,2,2]
[7,3,2,1,5,6,4] => [1,1,1,3,1]
[7,3,2,1,6,4,5] => [1,1,1,2,2]
[7,3,2,1,6,5,4] => [1,1,1,2,1,1]
[7,3,2,4,1,5,6] => [1,1,2,3]
[7,3,2,4,1,6,5] => [1,1,2,2,1]
[7,3,2,4,5,1,6] => [1,1,3,2]
[7,3,2,4,5,6,1] => [1,1,4,1]
[7,3,2,4,6,1,5] => [1,1,3,2]
[7,3,2,4,6,5,1] => [1,1,3,1,1]
[7,3,2,5,1,4,6] => [1,1,2,3]
[7,3,2,5,1,6,4] => [1,1,2,2,1]
[7,3,2,5,4,1,6] => [1,1,2,1,2]
[7,3,2,5,4,6,1] => [1,1,2,2,1]
[7,3,2,5,6,1,4] => [1,1,3,2]
[7,3,2,5,6,4,1] => [1,1,3,1,1]
[7,3,2,6,1,4,5] => [1,1,2,3]
[7,3,2,6,1,5,4] => [1,1,2,2,1]
[7,3,2,6,4,1,5] => [1,1,2,1,2]
[7,3,2,6,4,5,1] => [1,1,2,2,1]
[7,3,2,6,5,1,4] => [1,1,2,1,2]
[7,3,2,6,5,4,1] => [1,1,2,1,1,1]
[7,3,4,1,2,5,6] => [1,2,4]
[7,3,4,1,2,6,5] => [1,2,3,1]
[7,3,4,1,5,2,6] => [1,2,2,2]
[7,3,4,1,5,6,2] => [1,2,3,1]
[7,3,4,1,6,2,5] => [1,2,2,2]
[7,3,4,1,6,5,2] => [1,2,2,1,1]
[7,3,4,2,1,5,6] => [1,2,1,3]
[7,3,4,2,1,6,5] => [1,2,1,2,1]
[7,3,4,2,5,1,6] => [1,2,2,2]
[7,3,4,2,5,6,1] => [1,2,3,1]
[7,3,4,2,6,1,5] => [1,2,2,2]
[7,3,4,2,6,5,1] => [1,2,2,1,1]
[7,3,4,5,1,2,6] => [1,3,3]
[7,3,4,5,1,6,2] => [1,3,2,1]
[7,3,4,5,2,1,6] => [1,3,1,2]
[7,3,4,5,2,6,1] => [1,3,2,1]
[7,3,4,5,6,1,2] => [1,4,2]
[7,3,4,5,6,2,1] => [1,4,1,1]
[7,3,4,6,1,2,5] => [1,3,3]
[7,3,4,6,1,5,2] => [1,3,2,1]
[7,3,4,6,2,1,5] => [1,3,1,2]
[7,3,4,6,2,5,1] => [1,3,2,1]
[7,3,4,6,5,1,2] => [1,3,1,2]
[7,3,4,6,5,2,1] => [1,3,1,1,1]
[7,3,5,1,2,4,6] => [1,2,4]
[7,3,5,1,2,6,4] => [1,2,3,1]
[7,3,5,1,4,2,6] => [1,2,2,2]
[7,3,5,1,4,6,2] => [1,2,3,1]
[7,3,5,1,6,2,4] => [1,2,2,2]
[7,3,5,1,6,4,2] => [1,2,2,1,1]
[7,3,5,2,1,4,6] => [1,2,1,3]
[7,3,5,2,1,6,4] => [1,2,1,2,1]
[7,3,5,2,4,1,6] => [1,2,2,2]
[7,3,5,2,4,6,1] => [1,2,3,1]
[7,3,5,2,6,1,4] => [1,2,2,2]
[7,3,5,2,6,4,1] => [1,2,2,1,1]
[7,3,5,4,1,2,6] => [1,2,1,3]
[7,3,5,4,1,6,2] => [1,2,1,2,1]
[7,3,5,4,2,1,6] => [1,2,1,1,2]
[7,3,5,4,2,6,1] => [1,2,1,2,1]
[7,3,5,4,6,1,2] => [1,2,2,2]
[7,3,5,4,6,2,1] => [1,2,2,1,1]
[7,3,5,6,1,2,4] => [1,3,3]
[7,3,5,6,1,4,2] => [1,3,2,1]
[7,3,5,6,2,1,4] => [1,3,1,2]
[7,3,5,6,2,4,1] => [1,3,2,1]
[7,3,5,6,4,1,2] => [1,3,1,2]
[7,3,5,6,4,2,1] => [1,3,1,1,1]
[7,3,6,1,2,4,5] => [1,2,4]
[7,3,6,1,2,5,4] => [1,2,3,1]
[7,3,6,1,4,2,5] => [1,2,2,2]
[7,3,6,1,4,5,2] => [1,2,3,1]
[7,3,6,1,5,2,4] => [1,2,2,2]
[7,3,6,1,5,4,2] => [1,2,2,1,1]
[7,3,6,2,1,4,5] => [1,2,1,3]
[7,3,6,2,1,5,4] => [1,2,1,2,1]
[7,3,6,2,4,1,5] => [1,2,2,2]
[7,3,6,2,4,5,1] => [1,2,3,1]
[7,3,6,2,5,1,4] => [1,2,2,2]
[7,3,6,2,5,4,1] => [1,2,2,1,1]
[7,3,6,4,1,2,5] => [1,2,1,3]
[7,3,6,4,1,5,2] => [1,2,1,2,1]
[7,3,6,4,2,1,5] => [1,2,1,1,2]
[7,3,6,4,2,5,1] => [1,2,1,2,1]
[7,3,6,4,5,1,2] => [1,2,2,2]
[7,3,6,4,5,2,1] => [1,2,2,1,1]
[7,3,6,5,1,2,4] => [1,2,1,3]
[7,3,6,5,1,4,2] => [1,2,1,2,1]
[7,3,6,5,2,1,4] => [1,2,1,1,2]
[7,3,6,5,2,4,1] => [1,2,1,2,1]
[7,3,6,5,4,1,2] => [1,2,1,1,2]
[7,3,6,5,4,2,1] => [1,2,1,1,1,1]
[7,4,1,2,3,5,6] => [1,1,5]
[7,4,1,2,3,6,5] => [1,1,4,1]
[7,4,1,2,5,3,6] => [1,1,3,2]
[7,4,1,2,5,6,3] => [1,1,4,1]
[7,4,1,2,6,3,5] => [1,1,3,2]
[7,4,1,2,6,5,3] => [1,1,3,1,1]
[7,4,1,3,2,5,6] => [1,1,2,3]
[7,4,1,3,2,6,5] => [1,1,2,2,1]
[7,4,1,3,5,2,6] => [1,1,3,2]
[7,4,1,3,5,6,2] => [1,1,4,1]
[7,4,1,3,6,2,5] => [1,1,3,2]
[7,4,1,3,6,5,2] => [1,1,3,1,1]
[7,4,1,5,2,3,6] => [1,1,2,3]
[7,4,1,5,2,6,3] => [1,1,2,2,1]
[7,4,1,5,3,2,6] => [1,1,2,1,2]
[7,4,1,5,3,6,2] => [1,1,2,2,1]
[7,4,1,5,6,2,3] => [1,1,3,2]
[7,4,1,5,6,3,2] => [1,1,3,1,1]
[7,4,1,6,2,3,5] => [1,1,2,3]
[7,4,1,6,2,5,3] => [1,1,2,2,1]
[7,4,1,6,3,2,5] => [1,1,2,1,2]
[7,4,1,6,3,5,2] => [1,1,2,2,1]
[7,4,1,6,5,2,3] => [1,1,2,1,2]
[7,4,1,6,5,3,2] => [1,1,2,1,1,1]
[7,4,2,1,3,5,6] => [1,1,1,4]
[7,4,2,1,3,6,5] => [1,1,1,3,1]
[7,4,2,1,5,3,6] => [1,1,1,2,2]
[7,4,2,1,5,6,3] => [1,1,1,3,1]
[7,4,2,1,6,3,5] => [1,1,1,2,2]
[7,4,2,1,6,5,3] => [1,1,1,2,1,1]
[7,4,2,3,1,5,6] => [1,1,2,3]
[7,4,2,3,1,6,5] => [1,1,2,2,1]
[7,4,2,3,5,1,6] => [1,1,3,2]
[7,4,2,3,5,6,1] => [1,1,4,1]
[7,4,2,3,6,1,5] => [1,1,3,2]
[7,4,2,3,6,5,1] => [1,1,3,1,1]
[7,4,2,5,1,3,6] => [1,1,2,3]
[7,4,2,5,1,6,3] => [1,1,2,2,1]
[7,4,2,5,3,1,6] => [1,1,2,1,2]
[7,4,2,5,3,6,1] => [1,1,2,2,1]
[7,4,2,5,6,1,3] => [1,1,3,2]
[7,4,2,5,6,3,1] => [1,1,3,1,1]
[7,4,2,6,1,3,5] => [1,1,2,3]
[7,4,2,6,1,5,3] => [1,1,2,2,1]
[7,4,2,6,3,1,5] => [1,1,2,1,2]
[7,4,2,6,3,5,1] => [1,1,2,2,1]
[7,4,2,6,5,1,3] => [1,1,2,1,2]
[7,4,2,6,5,3,1] => [1,1,2,1,1,1]
[7,4,3,1,2,5,6] => [1,1,1,4]
[7,4,3,1,2,6,5] => [1,1,1,3,1]
[7,4,3,1,5,2,6] => [1,1,1,2,2]
[7,4,3,1,5,6,2] => [1,1,1,3,1]
[7,4,3,1,6,2,5] => [1,1,1,2,2]
[7,4,3,1,6,5,2] => [1,1,1,2,1,1]
[7,4,3,2,1,5,6] => [1,1,1,1,3]
[7,4,3,2,1,6,5] => [1,1,1,1,2,1]
[7,4,3,2,5,1,6] => [1,1,1,2,2]
[7,4,3,2,5,6,1] => [1,1,1,3,1]
[7,4,3,2,6,1,5] => [1,1,1,2,2]
[7,4,3,2,6,5,1] => [1,1,1,2,1,1]
[7,4,3,5,1,2,6] => [1,1,2,3]
[7,4,3,5,1,6,2] => [1,1,2,2,1]
[7,4,3,5,2,1,6] => [1,1,2,1,2]
[7,4,3,5,2,6,1] => [1,1,2,2,1]
[7,4,3,5,6,1,2] => [1,1,3,2]
[7,4,3,5,6,2,1] => [1,1,3,1,1]
[7,4,3,6,1,2,5] => [1,1,2,3]
[7,4,3,6,1,5,2] => [1,1,2,2,1]
[7,4,3,6,2,1,5] => [1,1,2,1,2]
[7,4,3,6,2,5,1] => [1,1,2,2,1]
[7,4,3,6,5,1,2] => [1,1,2,1,2]
[7,4,3,6,5,2,1] => [1,1,2,1,1,1]
[7,4,5,1,2,3,6] => [1,2,4]
[7,4,5,1,2,6,3] => [1,2,3,1]
[7,4,5,1,3,2,6] => [1,2,2,2]
[7,4,5,1,3,6,2] => [1,2,3,1]
[7,4,5,1,6,2,3] => [1,2,2,2]
[7,4,5,1,6,3,2] => [1,2,2,1,1]
[7,4,5,2,1,3,6] => [1,2,1,3]
[7,4,5,2,1,6,3] => [1,2,1,2,1]
[7,4,5,2,3,1,6] => [1,2,2,2]
[7,4,5,2,3,6,1] => [1,2,3,1]
[7,4,5,2,6,1,3] => [1,2,2,2]
[7,4,5,2,6,3,1] => [1,2,2,1,1]
[7,4,5,3,1,2,6] => [1,2,1,3]
[7,4,5,3,1,6,2] => [1,2,1,2,1]
[7,4,5,3,2,1,6] => [1,2,1,1,2]
[7,4,5,3,2,6,1] => [1,2,1,2,1]
[7,4,5,3,6,1,2] => [1,2,2,2]
[7,4,5,3,6,2,1] => [1,2,2,1,1]
[7,4,5,6,1,2,3] => [1,3,3]
[7,4,5,6,1,3,2] => [1,3,2,1]
[7,4,5,6,2,1,3] => [1,3,1,2]
[7,4,5,6,2,3,1] => [1,3,2,1]
[7,4,5,6,3,1,2] => [1,3,1,2]
[7,4,5,6,3,2,1] => [1,3,1,1,1]
[7,4,6,1,2,3,5] => [1,2,4]
[7,4,6,1,2,5,3] => [1,2,3,1]
[7,4,6,1,3,2,5] => [1,2,2,2]
[7,4,6,1,3,5,2] => [1,2,3,1]
[7,4,6,1,5,2,3] => [1,2,2,2]
[7,4,6,1,5,3,2] => [1,2,2,1,1]
[7,4,6,2,1,3,5] => [1,2,1,3]
[7,4,6,2,1,5,3] => [1,2,1,2,1]
[7,4,6,2,3,1,5] => [1,2,2,2]
[7,4,6,2,3,5,1] => [1,2,3,1]
[7,4,6,2,5,1,3] => [1,2,2,2]
[7,4,6,2,5,3,1] => [1,2,2,1,1]
[7,4,6,3,1,2,5] => [1,2,1,3]
[7,4,6,3,1,5,2] => [1,2,1,2,1]
[7,4,6,3,2,1,5] => [1,2,1,1,2]
[7,4,6,3,2,5,1] => [1,2,1,2,1]
[7,4,6,3,5,1,2] => [1,2,2,2]
[7,4,6,3,5,2,1] => [1,2,2,1,1]
[7,4,6,5,1,2,3] => [1,2,1,3]
[7,4,6,5,1,3,2] => [1,2,1,2,1]
[7,4,6,5,2,1,3] => [1,2,1,1,2]
[7,4,6,5,2,3,1] => [1,2,1,2,1]
[7,4,6,5,3,1,2] => [1,2,1,1,2]
[7,4,6,5,3,2,1] => [1,2,1,1,1,1]
[7,5,1,2,3,4,6] => [1,1,5]
[7,5,1,2,3,6,4] => [1,1,4,1]
[7,5,1,2,4,3,6] => [1,1,3,2]
[7,5,1,2,4,6,3] => [1,1,4,1]
[7,5,1,2,6,3,4] => [1,1,3,2]
[7,5,1,2,6,4,3] => [1,1,3,1,1]
[7,5,1,3,2,4,6] => [1,1,2,3]
[7,5,1,3,2,6,4] => [1,1,2,2,1]
[7,5,1,3,4,2,6] => [1,1,3,2]
[7,5,1,3,4,6,2] => [1,1,4,1]
[7,5,1,3,6,2,4] => [1,1,3,2]
[7,5,1,3,6,4,2] => [1,1,3,1,1]
[7,5,1,4,2,3,6] => [1,1,2,3]
[7,5,1,4,2,6,3] => [1,1,2,2,1]
[7,5,1,4,3,2,6] => [1,1,2,1,2]
[7,5,1,4,3,6,2] => [1,1,2,2,1]
[7,5,1,4,6,2,3] => [1,1,3,2]
[7,5,1,4,6,3,2] => [1,1,3,1,1]
[7,5,1,6,2,3,4] => [1,1,2,3]
[7,5,1,6,2,4,3] => [1,1,2,2,1]
[7,5,1,6,3,2,4] => [1,1,2,1,2]
[7,5,1,6,3,4,2] => [1,1,2,2,1]
[7,5,1,6,4,2,3] => [1,1,2,1,2]
[7,5,1,6,4,3,2] => [1,1,2,1,1,1]
[7,5,2,1,3,4,6] => [1,1,1,4]
[7,5,2,1,3,6,4] => [1,1,1,3,1]
[7,5,2,1,4,3,6] => [1,1,1,2,2]
[7,5,2,1,4,6,3] => [1,1,1,3,1]
[7,5,2,1,6,3,4] => [1,1,1,2,2]
[7,5,2,1,6,4,3] => [1,1,1,2,1,1]
[7,5,2,3,1,4,6] => [1,1,2,3]
[7,5,2,3,1,6,4] => [1,1,2,2,1]
[7,5,2,3,4,1,6] => [1,1,3,2]
[7,5,2,3,4,6,1] => [1,1,4,1]
[7,5,2,3,6,1,4] => [1,1,3,2]
[7,5,2,3,6,4,1] => [1,1,3,1,1]
[7,5,2,4,1,3,6] => [1,1,2,3]
[7,5,2,4,1,6,3] => [1,1,2,2,1]
[7,5,2,4,3,1,6] => [1,1,2,1,2]
[7,5,2,4,3,6,1] => [1,1,2,2,1]
[7,5,2,4,6,1,3] => [1,1,3,2]
[7,5,2,4,6,3,1] => [1,1,3,1,1]
[7,5,2,6,1,3,4] => [1,1,2,3]
[7,5,2,6,1,4,3] => [1,1,2,2,1]
[7,5,2,6,3,1,4] => [1,1,2,1,2]
[7,5,2,6,3,4,1] => [1,1,2,2,1]
[7,5,2,6,4,1,3] => [1,1,2,1,2]
[7,5,2,6,4,3,1] => [1,1,2,1,1,1]
[7,5,3,1,2,4,6] => [1,1,1,4]
[7,5,3,1,2,6,4] => [1,1,1,3,1]
[7,5,3,1,4,2,6] => [1,1,1,2,2]
[7,5,3,1,4,6,2] => [1,1,1,3,1]
[7,5,3,1,6,2,4] => [1,1,1,2,2]
[7,5,3,1,6,4,2] => [1,1,1,2,1,1]
[7,5,3,2,1,4,6] => [1,1,1,1,3]
[7,5,3,2,1,6,4] => [1,1,1,1,2,1]
[7,5,3,2,4,1,6] => [1,1,1,2,2]
[7,5,3,2,4,6,1] => [1,1,1,3,1]
[7,5,3,2,6,1,4] => [1,1,1,2,2]
[7,5,3,2,6,4,1] => [1,1,1,2,1,1]
[7,5,3,4,1,2,6] => [1,1,2,3]
[7,5,3,4,1,6,2] => [1,1,2,2,1]
[7,5,3,4,2,1,6] => [1,1,2,1,2]
[7,5,3,4,2,6,1] => [1,1,2,2,1]
[7,5,3,4,6,1,2] => [1,1,3,2]
[7,5,3,4,6,2,1] => [1,1,3,1,1]
[7,5,3,6,1,2,4] => [1,1,2,3]
[7,5,3,6,1,4,2] => [1,1,2,2,1]
[7,5,3,6,2,1,4] => [1,1,2,1,2]
[7,5,3,6,2,4,1] => [1,1,2,2,1]
[7,5,3,6,4,1,2] => [1,1,2,1,2]
[7,5,3,6,4,2,1] => [1,1,2,1,1,1]
[7,5,4,1,2,3,6] => [1,1,1,4]
[7,5,4,1,2,6,3] => [1,1,1,3,1]
[7,5,4,1,3,2,6] => [1,1,1,2,2]
[7,5,4,1,3,6,2] => [1,1,1,3,1]
[7,5,4,1,6,2,3] => [1,1,1,2,2]
[7,5,4,1,6,3,2] => [1,1,1,2,1,1]
[7,5,4,2,1,3,6] => [1,1,1,1,3]
[7,5,4,2,1,6,3] => [1,1,1,1,2,1]
[7,5,4,2,3,1,6] => [1,1,1,2,2]
[7,5,4,2,3,6,1] => [1,1,1,3,1]
[7,5,4,2,6,1,3] => [1,1,1,2,2]
[7,5,4,2,6,3,1] => [1,1,1,2,1,1]
[7,5,4,3,1,2,6] => [1,1,1,1,3]
[7,5,4,3,1,6,2] => [1,1,1,1,2,1]
[7,5,4,3,2,1,6] => [1,1,1,1,1,2]
[7,5,4,3,2,6,1] => [1,1,1,1,2,1]
[7,5,4,3,6,1,2] => [1,1,1,2,2]
[7,5,4,3,6,2,1] => [1,1,1,2,1,1]
[7,5,4,6,1,2,3] => [1,1,2,3]
[7,5,4,6,1,3,2] => [1,1,2,2,1]
[7,5,4,6,2,1,3] => [1,1,2,1,2]
[7,5,4,6,2,3,1] => [1,1,2,2,1]
[7,5,4,6,3,1,2] => [1,1,2,1,2]
[7,5,4,6,3,2,1] => [1,1,2,1,1,1]
[7,5,6,1,2,3,4] => [1,2,4]
[7,5,6,1,2,4,3] => [1,2,3,1]
[7,5,6,1,3,2,4] => [1,2,2,2]
[7,5,6,1,3,4,2] => [1,2,3,1]
[7,5,6,1,4,2,3] => [1,2,2,2]
[7,5,6,1,4,3,2] => [1,2,2,1,1]
[7,5,6,2,1,3,4] => [1,2,1,3]
[7,5,6,2,1,4,3] => [1,2,1,2,1]
[7,5,6,2,3,1,4] => [1,2,2,2]
[7,5,6,2,3,4,1] => [1,2,3,1]
[7,5,6,2,4,1,3] => [1,2,2,2]
[7,5,6,2,4,3,1] => [1,2,2,1,1]
[7,5,6,3,1,2,4] => [1,2,1,3]
[7,5,6,3,1,4,2] => [1,2,1,2,1]
[7,5,6,3,2,1,4] => [1,2,1,1,2]
[7,5,6,3,2,4,1] => [1,2,1,2,1]
[7,5,6,3,4,1,2] => [1,2,2,2]
[7,5,6,3,4,2,1] => [1,2,2,1,1]
[7,5,6,4,1,2,3] => [1,2,1,3]
[7,5,6,4,1,3,2] => [1,2,1,2,1]
[7,5,6,4,2,1,3] => [1,2,1,1,2]
[7,5,6,4,2,3,1] => [1,2,1,2,1]
[7,5,6,4,3,1,2] => [1,2,1,1,2]
[7,5,6,4,3,2,1] => [1,2,1,1,1,1]
[7,6,1,2,3,4,5] => [1,1,5]
[7,6,1,2,3,5,4] => [1,1,4,1]
[7,6,1,2,4,3,5] => [1,1,3,2]
[7,6,1,2,4,5,3] => [1,1,4,1]
[7,6,1,2,5,3,4] => [1,1,3,2]
[7,6,1,2,5,4,3] => [1,1,3,1,1]
[7,6,1,3,2,4,5] => [1,1,2,3]
[7,6,1,3,2,5,4] => [1,1,2,2,1]
[7,6,1,3,4,2,5] => [1,1,3,2]
[7,6,1,3,4,5,2] => [1,1,4,1]
[7,6,1,3,5,2,4] => [1,1,3,2]
[7,6,1,3,5,4,2] => [1,1,3,1,1]
[7,6,1,4,2,3,5] => [1,1,2,3]
[7,6,1,4,2,5,3] => [1,1,2,2,1]
[7,6,1,4,3,2,5] => [1,1,2,1,2]
[7,6,1,4,3,5,2] => [1,1,2,2,1]
[7,6,1,4,5,2,3] => [1,1,3,2]
[7,6,1,4,5,3,2] => [1,1,3,1,1]
[7,6,1,5,2,3,4] => [1,1,2,3]
[7,6,1,5,2,4,3] => [1,1,2,2,1]
[7,6,1,5,3,2,4] => [1,1,2,1,2]
[7,6,1,5,3,4,2] => [1,1,2,2,1]
[7,6,1,5,4,2,3] => [1,1,2,1,2]
[7,6,1,5,4,3,2] => [1,1,2,1,1,1]
[7,6,2,1,3,4,5] => [1,1,1,4]
[7,6,2,1,3,5,4] => [1,1,1,3,1]
[7,6,2,1,4,3,5] => [1,1,1,2,2]
[7,6,2,1,4,5,3] => [1,1,1,3,1]
[7,6,2,1,5,3,4] => [1,1,1,2,2]
[7,6,2,1,5,4,3] => [1,1,1,2,1,1]
[7,6,2,3,1,4,5] => [1,1,2,3]
[7,6,2,3,1,5,4] => [1,1,2,2,1]
[7,6,2,3,4,1,5] => [1,1,3,2]
[7,6,2,3,4,5,1] => [1,1,4,1]
[7,6,2,3,5,1,4] => [1,1,3,2]
[7,6,2,3,5,4,1] => [1,1,3,1,1]
[7,6,2,4,1,3,5] => [1,1,2,3]
[7,6,2,4,1,5,3] => [1,1,2,2,1]
[7,6,2,4,3,1,5] => [1,1,2,1,2]
[7,6,2,4,3,5,1] => [1,1,2,2,1]
[7,6,2,4,5,1,3] => [1,1,3,2]
[7,6,2,4,5,3,1] => [1,1,3,1,1]
[7,6,2,5,1,3,4] => [1,1,2,3]
[7,6,2,5,1,4,3] => [1,1,2,2,1]
[7,6,2,5,3,1,4] => [1,1,2,1,2]
[7,6,2,5,3,4,1] => [1,1,2,2,1]
[7,6,2,5,4,1,3] => [1,1,2,1,2]
[7,6,2,5,4,3,1] => [1,1,2,1,1,1]
[7,6,3,1,2,4,5] => [1,1,1,4]
[7,6,3,1,2,5,4] => [1,1,1,3,1]
[7,6,3,1,4,2,5] => [1,1,1,2,2]
[7,6,3,1,4,5,2] => [1,1,1,3,1]
[7,6,3,1,5,2,4] => [1,1,1,2,2]
[7,6,3,1,5,4,2] => [1,1,1,2,1,1]
[7,6,3,2,1,4,5] => [1,1,1,1,3]
[7,6,3,2,1,5,4] => [1,1,1,1,2,1]
[7,6,3,2,4,1,5] => [1,1,1,2,2]
[7,6,3,2,4,5,1] => [1,1,1,3,1]
[7,6,3,2,5,1,4] => [1,1,1,2,2]
[7,6,3,2,5,4,1] => [1,1,1,2,1,1]
[7,6,3,4,1,2,5] => [1,1,2,3]
[7,6,3,4,1,5,2] => [1,1,2,2,1]
[7,6,3,4,2,1,5] => [1,1,2,1,2]
[7,6,3,4,2,5,1] => [1,1,2,2,1]
[7,6,3,4,5,1,2] => [1,1,3,2]
[7,6,3,4,5,2,1] => [1,1,3,1,1]
[7,6,3,5,1,2,4] => [1,1,2,3]
[7,6,3,5,1,4,2] => [1,1,2,2,1]
[7,6,3,5,2,1,4] => [1,1,2,1,2]
[7,6,3,5,2,4,1] => [1,1,2,2,1]
[7,6,3,5,4,1,2] => [1,1,2,1,2]
[7,6,3,5,4,2,1] => [1,1,2,1,1,1]
[7,6,4,1,2,3,5] => [1,1,1,4]
[7,6,4,1,2,5,3] => [1,1,1,3,1]
[7,6,4,1,3,2,5] => [1,1,1,2,2]
[7,6,4,1,3,5,2] => [1,1,1,3,1]
[7,6,4,1,5,2,3] => [1,1,1,2,2]
[7,6,4,1,5,3,2] => [1,1,1,2,1,1]
[7,6,4,2,1,3,5] => [1,1,1,1,3]
[7,6,4,2,1,5,3] => [1,1,1,1,2,1]
[7,6,4,2,3,1,5] => [1,1,1,2,2]
[7,6,4,2,3,5,1] => [1,1,1,3,1]
[7,6,4,2,5,1,3] => [1,1,1,2,2]
[7,6,4,2,5,3,1] => [1,1,1,2,1,1]
[7,6,4,3,1,2,5] => [1,1,1,1,3]
[7,6,4,3,1,5,2] => [1,1,1,1,2,1]
[7,6,4,3,2,1,5] => [1,1,1,1,1,2]
[7,6,4,3,2,5,1] => [1,1,1,1,2,1]
[7,6,4,3,5,1,2] => [1,1,1,2,2]
[7,6,4,3,5,2,1] => [1,1,1,2,1,1]
[7,6,4,5,1,2,3] => [1,1,2,3]
[7,6,4,5,1,3,2] => [1,1,2,2,1]
[7,6,4,5,2,1,3] => [1,1,2,1,2]
[7,6,4,5,2,3,1] => [1,1,2,2,1]
[7,6,4,5,3,1,2] => [1,1,2,1,2]
[7,6,4,5,3,2,1] => [1,1,2,1,1,1]
[7,6,5,1,2,3,4] => [1,1,1,4]
[7,6,5,1,2,4,3] => [1,1,1,3,1]
[7,6,5,1,3,2,4] => [1,1,1,2,2]
[7,6,5,1,3,4,2] => [1,1,1,3,1]
[7,6,5,1,4,2,3] => [1,1,1,2,2]
[7,6,5,1,4,3,2] => [1,1,1,2,1,1]
[7,6,5,2,1,3,4] => [1,1,1,1,3]
[7,6,5,2,1,4,3] => [1,1,1,1,2,1]
[7,6,5,2,3,1,4] => [1,1,1,2,2]
[7,6,5,2,3,4,1] => [1,1,1,3,1]
[7,6,5,2,4,1,3] => [1,1,1,2,2]
[7,6,5,2,4,3,1] => [1,1,1,2,1,1]
[7,6,5,3,1,2,4] => [1,1,1,1,3]
[7,6,5,3,1,4,2] => [1,1,1,1,2,1]
[7,6,5,3,2,1,4] => [1,1,1,1,1,2]
[7,6,5,3,2,4,1] => [1,1,1,1,2,1]
[7,6,5,3,4,1,2] => [1,1,1,2,2]
[7,6,5,3,4,2,1] => [1,1,1,2,1,1]
[7,6,5,4,1,2,3] => [1,1,1,1,3]
[7,6,5,4,1,3,2] => [1,1,1,1,2,1]
[7,6,5,4,2,1,3] => [1,1,1,1,1,2]
[7,6,5,4,2,3,1] => [1,1,1,1,2,1]
[7,6,5,4,3,1,2] => [1,1,1,1,1,2]
[7,6,5,4,3,2,1] => [1,1,1,1,1,1,1]
[8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1]
[7,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1]
[8,6,7,5,4,3,2,1] => [1,2,1,1,1,1,1]
[7,6,8,5,4,3,2,1] => [1,2,1,1,1,1,1]
[6,7,8,5,4,3,2,1] => [3,1,1,1,1,1]
[8,7,5,6,4,3,2,1] => [1,1,2,1,1,1,1]
[7,8,5,6,4,3,2,1] => [2,2,1,1,1,1]
[8,6,5,7,4,3,2,1] => [1,1,2,1,1,1,1]
[8,5,6,7,4,3,2,1] => [1,3,1,1,1,1]
[7,6,5,8,4,3,2,1] => [1,1,2,1,1,1,1]
[6,7,5,8,4,3,2,1] => [2,2,1,1,1,1]
[7,5,6,8,4,3,2,1] => [1,3,1,1,1,1]
[6,5,7,8,4,3,2,1] => [1,3,1,1,1,1]
[5,6,7,8,4,3,2,1] => [4,1,1,1,1]
[8,7,6,4,5,3,2,1] => [1,1,1,2,1,1,1]
[7,8,6,4,5,3,2,1] => [2,1,2,1,1,1]
[8,6,7,4,5,3,2,1] => [1,2,2,1,1,1]
[7,6,8,4,5,3,2,1] => [1,2,2,1,1,1]
[6,7,8,4,5,3,2,1] => [3,2,1,1,1]
[8,7,5,4,6,3,2,1] => [1,1,1,2,1,1,1]
[7,8,5,4,6,3,2,1] => [2,1,2,1,1,1]
[8,7,4,5,6,3,2,1] => [1,1,3,1,1,1]
[7,8,4,5,6,3,2,1] => [2,3,1,1,1]
[8,6,5,4,7,3,2,1] => [1,1,1,2,1,1,1]
[8,5,6,4,7,3,2,1] => [1,2,2,1,1,1]
[8,6,4,5,7,3,2,1] => [1,1,3,1,1,1]
[8,5,4,6,7,3,2,1] => [1,1,3,1,1,1]
[8,4,5,6,7,3,2,1] => [1,4,1,1,1]
[7,6,5,4,8,3,2,1] => [1,1,1,2,1,1,1]
[6,7,5,4,8,3,2,1] => [2,1,2,1,1,1]
[7,5,6,4,8,3,2,1] => [1,2,2,1,1,1]
[6,5,7,4,8,3,2,1] => [1,2,2,1,1,1]
[5,6,7,4,8,3,2,1] => [3,2,1,1,1]
[7,6,4,5,8,3,2,1] => [1,1,3,1,1,1]
[6,7,4,5,8,3,2,1] => [2,3,1,1,1]
[7,5,4,6,8,3,2,1] => [1,1,3,1,1,1]
[7,4,5,6,8,3,2,1] => [1,4,1,1,1]
[6,5,4,7,8,3,2,1] => [1,1,3,1,1,1]
[5,6,4,7,8,3,2,1] => [2,3,1,1,1]
[6,4,5,7,8,3,2,1] => [1,4,1,1,1]
[5,4,6,7,8,3,2,1] => [1,4,1,1,1]
[4,5,6,7,8,3,2,1] => [5,1,1,1]
[8,7,6,5,3,4,2,1] => [1,1,1,1,2,1,1]
[7,8,6,5,3,4,2,1] => [2,1,1,2,1,1]
[8,6,7,5,3,4,2,1] => [1,2,1,2,1,1]
[7,6,8,5,3,4,2,1] => [1,2,1,2,1,1]
[6,7,8,5,3,4,2,1] => [3,1,2,1,1]
[8,7,5,6,3,4,2,1] => [1,1,2,2,1,1]
[7,8,5,6,3,4,2,1] => [2,2,2,1,1]
[8,6,5,7,3,4,2,1] => [1,1,2,2,1,1]
[8,5,6,7,3,4,2,1] => [1,3,2,1,1]
[7,6,5,8,3,4,2,1] => [1,1,2,2,1,1]
[6,7,5,8,3,4,2,1] => [2,2,2,1,1]
[6,5,7,8,3,4,2,1] => [1,3,2,1,1]
[5,6,7,8,3,4,2,1] => [4,2,1,1]
[8,7,6,4,3,5,2,1] => [1,1,1,1,2,1,1]
[7,8,6,4,3,5,2,1] => [2,1,1,2,1,1]
[8,6,7,4,3,5,2,1] => [1,2,1,2,1,1]
[7,6,8,4,3,5,2,1] => [1,2,1,2,1,1]
[6,7,8,4,3,5,2,1] => [3,1,2,1,1]
[8,7,6,3,4,5,2,1] => [1,1,1,3,1,1]
[7,8,6,3,4,5,2,1] => [2,1,3,1,1]
[8,6,7,3,4,5,2,1] => [1,2,3,1,1]
[7,6,8,3,4,5,2,1] => [1,2,3,1,1]
[6,7,8,3,4,5,2,1] => [3,3,1,1]
[8,7,5,4,3,6,2,1] => [1,1,1,1,2,1,1]
[7,8,5,4,3,6,2,1] => [2,1,1,2,1,1]
[8,7,4,5,3,6,2,1] => [1,1,2,2,1,1]
[8,7,5,3,4,6,2,1] => [1,1,1,3,1,1]
[7,8,5,3,4,6,2,1] => [2,1,3,1,1]
[8,7,4,3,5,6,2,1] => [1,1,1,3,1,1]
[7,8,4,3,5,6,2,1] => [2,1,3,1,1]
[8,7,3,4,5,6,2,1] => [1,1,4,1,1]
[7,8,3,4,5,6,2,1] => [2,4,1,1]
[8,6,5,4,3,7,2,1] => [1,1,1,1,2,1,1]
[8,5,6,4,3,7,2,1] => [1,2,1,2,1,1]
[8,6,4,5,3,7,2,1] => [1,1,2,2,1,1]
[8,5,4,6,3,7,2,1] => [1,1,2,2,1,1]
[8,5,6,3,4,7,2,1] => [1,2,3,1,1]
[8,6,4,3,5,7,2,1] => [1,1,1,3,1,1]
[8,6,3,4,5,7,2,1] => [1,1,4,1,1]
[8,5,4,3,6,7,2,1] => [1,1,1,3,1,1]
[8,5,3,4,6,7,2,1] => [1,1,4,1,1]
[8,4,3,5,6,7,2,1] => [1,1,4,1,1]
[8,3,4,5,6,7,2,1] => [1,5,1,1]
[7,6,5,4,3,8,2,1] => [1,1,1,1,2,1,1]
[6,7,5,4,3,8,2,1] => [2,1,1,2,1,1]
[7,5,6,4,3,8,2,1] => [1,2,1,2,1,1]
[6,5,7,4,3,8,2,1] => [1,2,1,2,1,1]
[5,6,7,4,3,8,2,1] => [3,1,2,1,1]
[7,6,4,5,3,8,2,1] => [1,1,2,2,1,1]
[6,7,4,5,3,8,2,1] => [2,2,2,1,1]
[7,5,4,6,3,8,2,1] => [1,1,2,2,1,1]
[7,4,5,6,3,8,2,1] => [1,3,2,1,1]
[6,5,4,7,3,8,2,1] => [1,1,2,2,1,1]
[5,6,4,7,3,8,2,1] => [2,2,2,1,1]
[6,4,5,7,3,8,2,1] => [1,3,2,1,1]
[5,4,6,7,3,8,2,1] => [1,3,2,1,1]
[4,5,6,7,3,8,2,1] => [4,2,1,1]
[7,6,5,3,4,8,2,1] => [1,1,1,3,1,1]
[6,7,5,3,4,8,2,1] => [2,1,3,1,1]
[6,5,7,3,4,8,2,1] => [1,2,3,1,1]
[5,6,7,3,4,8,2,1] => [3,3,1,1]
[7,6,4,3,5,8,2,1] => [1,1,1,3,1,1]
[7,6,3,4,5,8,2,1] => [1,1,4,1,1]
[7,5,4,3,6,8,2,1] => [1,1,1,3,1,1]
[7,5,3,4,6,8,2,1] => [1,1,4,1,1]
[7,3,4,5,6,8,2,1] => [1,5,1,1]
[6,5,4,3,7,8,2,1] => [1,1,1,3,1,1]
[5,6,4,3,7,8,2,1] => [2,1,3,1,1]
[5,4,6,3,7,8,2,1] => [1,2,3,1,1]
[4,5,6,3,7,8,2,1] => [3,3,1,1]
[6,5,3,4,7,8,2,1] => [1,1,4,1,1]
[6,4,3,5,7,8,2,1] => [1,1,4,1,1]
[6,3,4,5,7,8,2,1] => [1,5,1,1]
[5,4,3,6,7,8,2,1] => [1,1,4,1,1]
[4,5,3,6,7,8,2,1] => [2,4,1,1]
[5,3,4,6,7,8,2,1] => [1,5,1,1]
[4,3,5,6,7,8,2,1] => [1,5,1,1]
[3,4,5,6,7,8,2,1] => [6,1,1]
[8,7,6,5,4,2,3,1] => [1,1,1,1,1,2,1]
[7,8,6,5,4,2,3,1] => [2,1,1,1,2,1]
[8,6,7,5,4,2,3,1] => [1,2,1,1,2,1]
[7,6,8,5,4,2,3,1] => [1,2,1,1,2,1]
[8,7,5,6,4,2,3,1] => [1,1,2,1,2,1]
[8,6,5,7,4,2,3,1] => [1,1,2,1,2,1]
[8,5,6,7,4,2,3,1] => [1,3,1,2,1]
[7,6,5,8,4,2,3,1] => [1,1,2,1,2,1]
[6,7,5,8,4,2,3,1] => [2,2,1,2,1]
[7,5,6,8,4,2,3,1] => [1,3,1,2,1]
[6,5,7,8,4,2,3,1] => [1,3,1,2,1]
[5,6,7,8,4,2,3,1] => [4,1,2,1]
[8,7,6,4,5,2,3,1] => [1,1,1,2,2,1]
[7,8,6,4,5,2,3,1] => [2,1,2,2,1]
[8,6,7,4,5,2,3,1] => [1,2,2,2,1]
[7,6,8,4,5,2,3,1] => [1,2,2,2,1]
[6,7,8,4,5,2,3,1] => [3,2,2,1]
[8,7,5,4,6,2,3,1] => [1,1,1,2,2,1]
[8,7,4,5,6,2,3,1] => [1,1,3,2,1]
[7,8,4,5,6,2,3,1] => [2,3,2,1]
[8,6,5,4,7,2,3,1] => [1,1,1,2,2,1]
[8,5,6,4,7,2,3,1] => [1,2,2,2,1]
[8,6,4,5,7,2,3,1] => [1,1,3,2,1]
[8,4,5,6,7,2,3,1] => [1,4,2,1]
[7,6,5,4,8,2,3,1] => [1,1,1,2,2,1]
[6,7,5,4,8,2,3,1] => [2,1,2,2,1]
[7,5,6,4,8,2,3,1] => [1,2,2,2,1]
[6,5,7,4,8,2,3,1] => [1,2,2,2,1]
[5,6,7,4,8,2,3,1] => [3,2,2,1]
[7,6,4,5,8,2,3,1] => [1,1,3,2,1]
[6,7,4,5,8,2,3,1] => [2,3,2,1]
[7,5,4,6,8,2,3,1] => [1,1,3,2,1]
[7,4,5,6,8,2,3,1] => [1,4,2,1]
[6,5,4,7,8,2,3,1] => [1,1,3,2,1]
[5,6,4,7,8,2,3,1] => [2,3,2,1]
[6,4,5,7,8,2,3,1] => [1,4,2,1]
[5,4,6,7,8,2,3,1] => [1,4,2,1]
[4,5,6,7,8,2,3,1] => [5,2,1]
[8,7,6,5,3,2,4,1] => [1,1,1,1,1,2,1]
[7,8,6,5,3,2,4,1] => [2,1,1,1,2,1]
[8,6,7,5,3,2,4,1] => [1,2,1,1,2,1]
[7,6,8,5,3,2,4,1] => [1,2,1,1,2,1]
[6,7,8,5,3,2,4,1] => [3,1,1,2,1]
[8,7,5,6,3,2,4,1] => [1,1,2,1,2,1]
[7,8,5,6,3,2,4,1] => [2,2,1,2,1]
[8,6,5,7,3,2,4,1] => [1,1,2,1,2,1]
[8,5,6,7,3,2,4,1] => [1,3,1,2,1]
[7,6,5,8,3,2,4,1] => [1,1,2,1,2,1]
[6,7,5,8,3,2,4,1] => [2,2,1,2,1]
[7,5,6,8,3,2,4,1] => [1,3,1,2,1]
[6,5,7,8,3,2,4,1] => [1,3,1,2,1]
[5,6,7,8,3,2,4,1] => [4,1,2,1]
[8,7,6,5,2,3,4,1] => [1,1,1,1,3,1]
[8,6,7,5,2,3,4,1] => [1,2,1,3,1]
[7,6,8,5,2,3,4,1] => [1,2,1,3,1]
[6,7,8,5,2,3,4,1] => [3,1,3,1]
[8,7,5,6,2,3,4,1] => [1,1,2,3,1]
[7,8,5,6,2,3,4,1] => [2,2,3,1]
[8,6,5,7,2,3,4,1] => [1,1,2,3,1]
[8,5,6,7,2,3,4,1] => [1,3,3,1]
[7,6,5,8,2,3,4,1] => [1,1,2,3,1]
[6,7,5,8,2,3,4,1] => [2,2,3,1]
[6,5,7,8,2,3,4,1] => [1,3,3,1]
[5,6,7,8,2,3,4,1] => [4,3,1]
[8,7,6,4,3,2,5,1] => [1,1,1,1,1,2,1]
[7,8,6,4,3,2,5,1] => [2,1,1,1,2,1]
[8,6,7,4,3,2,5,1] => [1,2,1,1,2,1]
[7,6,8,4,3,2,5,1] => [1,2,1,1,2,1]
[6,7,8,4,3,2,5,1] => [3,1,1,2,1]
[8,7,6,3,4,2,5,1] => [1,1,1,2,2,1]
[7,8,6,3,4,2,5,1] => [2,1,2,2,1]
[8,6,7,3,4,2,5,1] => [1,2,2,2,1]
[7,6,8,3,4,2,5,1] => [1,2,2,2,1]
[6,7,8,3,4,2,5,1] => [3,2,2,1]
[8,7,6,4,2,3,5,1] => [1,1,1,1,3,1]
[7,8,6,4,2,3,5,1] => [2,1,1,3,1]
[8,6,7,4,2,3,5,1] => [1,2,1,3,1]
[7,6,8,4,2,3,5,1] => [1,2,1,3,1]
[6,7,8,4,2,3,5,1] => [3,1,3,1]
[8,7,6,3,2,4,5,1] => [1,1,1,1,3,1]
[7,8,6,3,2,4,5,1] => [2,1,1,3,1]
[8,6,7,3,2,4,5,1] => [1,2,1,3,1]
[6,7,8,3,2,4,5,1] => [3,1,3,1]
[8,7,6,2,3,4,5,1] => [1,1,1,4,1]
[7,8,6,2,3,4,5,1] => [2,1,4,1]
[8,6,7,2,3,4,5,1] => [1,2,4,1]
[7,6,8,2,3,4,5,1] => [1,2,4,1]
[6,7,8,2,3,4,5,1] => [3,4,1]
[8,7,5,4,3,2,6,1] => [1,1,1,1,1,2,1]
[7,8,5,4,3,2,6,1] => [2,1,1,1,2,1]
[8,7,5,3,4,2,6,1] => [1,1,1,2,2,1]
[7,8,5,3,4,2,6,1] => [2,1,2,2,1]
[8,7,4,3,5,2,6,1] => [1,1,1,2,2,1]
[7,8,4,3,5,2,6,1] => [2,1,2,2,1]
[7,8,3,4,5,2,6,1] => [2,3,2,1]
[8,7,5,4,2,3,6,1] => [1,1,1,1,3,1]
[7,8,5,4,2,3,6,1] => [2,1,1,3,1]
[7,8,4,5,2,3,6,1] => [2,2,3,1]
[8,7,5,3,2,4,6,1] => [1,1,1,1,3,1]
[7,8,5,2,3,4,6,1] => [2,1,4,1]
[8,7,4,3,2,5,6,1] => [1,1,1,1,3,1]
[7,8,4,3,2,5,6,1] => [2,1,1,3,1]
[8,7,3,4,2,5,6,1] => [1,1,2,3,1]
[7,8,3,4,2,5,6,1] => [2,2,3,1]
[7,8,4,2,3,5,6,1] => [2,1,4,1]
[7,8,3,2,4,5,6,1] => [2,1,4,1]
[8,7,2,3,4,5,6,1] => [1,1,5,1]
[7,8,2,3,4,5,6,1] => [2,5,1]
[8,6,5,4,3,2,7,1] => [1,1,1,1,1,2,1]
[8,5,6,4,3,2,7,1] => [1,2,1,1,2,1]
[8,6,4,5,3,2,7,1] => [1,1,2,1,2,1]
[8,5,4,6,3,2,7,1] => [1,1,2,1,2,1]
[8,6,5,3,4,2,7,1] => [1,1,1,2,2,1]
[8,5,6,3,4,2,7,1] => [1,2,2,2,1]
[8,6,4,3,5,2,7,1] => [1,1,1,2,2,1]
[8,6,3,4,5,2,7,1] => [1,1,3,2,1]
[8,5,4,3,6,2,7,1] => [1,1,1,2,2,1]
[8,4,5,3,6,2,7,1] => [1,2,2,2,1]
[8,5,3,4,6,2,7,1] => [1,1,3,2,1]
[8,4,3,5,6,2,7,1] => [1,1,3,2,1]
[8,3,4,5,6,2,7,1] => [1,4,2,1]
[8,6,5,4,2,3,7,1] => [1,1,1,1,3,1]
[8,5,6,4,2,3,7,1] => [1,2,1,3,1]
[8,6,4,5,2,3,7,1] => [1,1,2,3,1]
[8,5,4,6,2,3,7,1] => [1,1,2,3,1]
[8,6,5,3,2,4,7,1] => [1,1,1,1,3,1]
[8,6,4,3,2,5,7,1] => [1,1,1,1,3,1]
[8,6,4,2,3,5,7,1] => [1,1,1,4,1]
[8,6,2,3,4,5,7,1] => [1,1,5,1]
[8,5,4,3,2,6,7,1] => [1,1,1,1,3,1]
[8,4,5,3,2,6,7,1] => [1,2,1,3,1]
[8,5,3,4,2,6,7,1] => [1,1,2,3,1]
[8,4,3,5,2,6,7,1] => [1,1,2,3,1]
[8,3,4,5,2,6,7,1] => [1,3,3,1]
[8,5,4,2,3,6,7,1] => [1,1,1,4,1]
[8,4,5,2,3,6,7,1] => [1,2,4,1]
[8,5,2,3,4,6,7,1] => [1,1,5,1]
[8,4,3,2,5,6,7,1] => [1,1,1,4,1]
[8,3,4,2,5,6,7,1] => [1,2,4,1]
[8,4,2,3,5,6,7,1] => [1,1,5,1]
[8,3,2,4,5,6,7,1] => [1,1,5,1]
[8,2,3,4,5,6,7,1] => [1,6,1]
[7,6,5,4,3,2,8,1] => [1,1,1,1,1,2,1]
[6,7,5,4,3,2,8,1] => [2,1,1,1,2,1]
[7,5,6,4,3,2,8,1] => [1,2,1,1,2,1]
[6,5,7,4,3,2,8,1] => [1,2,1,1,2,1]
[5,6,7,4,3,2,8,1] => [3,1,1,2,1]
[7,6,4,5,3,2,8,1] => [1,1,2,1,2,1]
[6,7,4,5,3,2,8,1] => [2,2,1,2,1]
[7,5,4,6,3,2,8,1] => [1,1,2,1,2,1]
[7,4,5,6,3,2,8,1] => [1,3,1,2,1]
[6,5,4,7,3,2,8,1] => [1,1,2,1,2,1]
[5,6,4,7,3,2,8,1] => [2,2,1,2,1]
[6,4,5,7,3,2,8,1] => [1,3,1,2,1]
[5,4,6,7,3,2,8,1] => [1,3,1,2,1]
[4,5,6,7,3,2,8,1] => [4,1,2,1]
[7,6,5,3,4,2,8,1] => [1,1,1,2,2,1]
[7,5,6,3,4,2,8,1] => [1,2,2,2,1]
[6,5,7,3,4,2,8,1] => [1,2,2,2,1]
[5,6,7,3,4,2,8,1] => [3,2,2,1]
[7,6,4,3,5,2,8,1] => [1,1,1,2,2,1]
[6,7,4,3,5,2,8,1] => [2,1,2,2,1]
[7,6,3,4,5,2,8,1] => [1,1,3,2,1]
[7,5,4,3,6,2,8,1] => [1,1,1,2,2,1]
[7,4,5,3,6,2,8,1] => [1,2,2,2,1]
[7,5,3,4,6,2,8,1] => [1,1,3,2,1]
[7,3,4,5,6,2,8,1] => [1,4,2,1]
[6,5,4,3,7,2,8,1] => [1,1,1,2,2,1]
[5,6,4,3,7,2,8,1] => [2,1,2,2,1]
[6,4,5,3,7,2,8,1] => [1,2,2,2,1]
[5,4,6,3,7,2,8,1] => [1,2,2,2,1]
[4,5,6,3,7,2,8,1] => [3,2,2,1]
[6,5,3,4,7,2,8,1] => [1,1,3,2,1]
[5,6,3,4,7,2,8,1] => [2,3,2,1]
[6,4,3,5,7,2,8,1] => [1,1,3,2,1]
[6,3,4,5,7,2,8,1] => [1,4,2,1]
[5,4,3,6,7,2,8,1] => [1,1,3,2,1]
[4,5,3,6,7,2,8,1] => [2,3,2,1]
[5,3,4,6,7,2,8,1] => [1,4,2,1]
[4,3,5,6,7,2,8,1] => [1,4,2,1]
[3,4,5,6,7,2,8,1] => [5,2,1]
[7,6,5,4,2,3,8,1] => [1,1,1,1,3,1]
[6,7,5,4,2,3,8,1] => [2,1,1,3,1]
[7,5,6,4,2,3,8,1] => [1,2,1,3,1]
[6,5,7,4,2,3,8,1] => [1,2,1,3,1]
[5,6,7,4,2,3,8,1] => [3,1,3,1]
[7,6,4,5,2,3,8,1] => [1,1,2,3,1]
[6,7,4,5,2,3,8,1] => [2,2,3,1]
[7,5,4,6,2,3,8,1] => [1,1,2,3,1]
[7,4,5,6,2,3,8,1] => [1,3,3,1]
[6,5,4,7,2,3,8,1] => [1,1,2,3,1]
[5,6,4,7,2,3,8,1] => [2,2,3,1]
[6,4,5,7,2,3,8,1] => [1,3,3,1]
[5,4,6,7,2,3,8,1] => [1,3,3,1]
[4,5,6,7,2,3,8,1] => [4,3,1]
[6,7,5,3,2,4,8,1] => [2,1,1,3,1]
[7,5,6,3,2,4,8,1] => [1,2,1,3,1]
[6,5,7,3,2,4,8,1] => [1,2,1,3,1]
[7,6,5,2,3,4,8,1] => [1,1,1,4,1]
[7,5,6,2,3,4,8,1] => [1,2,4,1]
[5,6,7,2,3,4,8,1] => [3,4,1]
[7,6,4,3,2,5,8,1] => [1,1,1,1,3,1]
[6,7,4,3,2,5,8,1] => [2,1,1,3,1]
[7,6,3,4,2,5,8,1] => [1,1,2,3,1]
[7,6,4,2,3,5,8,1] => [1,1,1,4,1]
[6,7,4,2,3,5,8,1] => [2,1,4,1]
[7,6,3,2,4,5,8,1] => [1,1,1,4,1]
[6,7,3,2,4,5,8,1] => [2,1,4,1]
[7,6,2,3,4,5,8,1] => [1,1,5,1]
[6,7,2,3,4,5,8,1] => [2,5,1]
[7,5,4,3,2,6,8,1] => [1,1,1,1,3,1]
[7,4,5,3,2,6,8,1] => [1,2,1,3,1]
[7,5,3,4,2,6,8,1] => [1,1,2,3,1]
[7,4,3,5,2,6,8,1] => [1,1,2,3,1]
[7,3,4,5,2,6,8,1] => [1,3,3,1]
[7,5,4,2,3,6,8,1] => [1,1,1,4,1]
[7,4,5,2,3,6,8,1] => [1,2,4,1]
[7,5,3,2,4,6,8,1] => [1,1,1,4,1]
[7,5,2,3,4,6,8,1] => [1,1,5,1]
[7,4,3,2,5,6,8,1] => [1,1,1,4,1]
[7,3,4,2,5,6,8,1] => [1,2,4,1]
[7,4,2,3,5,6,8,1] => [1,1,5,1]
[7,3,2,4,5,6,8,1] => [1,1,5,1]
[7,2,3,4,5,6,8,1] => [1,6,1]
[6,5,4,3,2,7,8,1] => [1,1,1,1,3,1]
[6,4,5,3,2,7,8,1] => [1,2,1,3,1]
[5,4,6,3,2,7,8,1] => [1,2,1,3,1]
[4,5,6,3,2,7,8,1] => [3,1,3,1]
[6,5,3,4,2,7,8,1] => [1,1,2,3,1]
[5,6,3,4,2,7,8,1] => [2,2,3,1]
[6,4,3,5,2,7,8,1] => [1,1,2,3,1]
[6,3,4,5,2,7,8,1] => [1,3,3,1]
[5,4,3,6,2,7,8,1] => [1,1,2,3,1]
[4,5,3,6,2,7,8,1] => [2,2,3,1]
[4,3,5,6,2,7,8,1] => [1,3,3,1]
[3,4,5,6,2,7,8,1] => [4,3,1]
[6,5,4,2,3,7,8,1] => [1,1,1,4,1]
[5,6,4,2,3,7,8,1] => [2,1,4,1]
[6,4,5,2,3,7,8,1] => [1,2,4,1]
[5,4,6,2,3,7,8,1] => [1,2,4,1]
[4,5,6,2,3,7,8,1] => [3,4,1]
[6,5,3,2,4,7,8,1] => [1,1,1,4,1]
[6,5,2,3,4,7,8,1] => [1,1,5,1]
[6,4,2,3,5,7,8,1] => [1,1,5,1]
[6,2,3,4,5,7,8,1] => [1,6,1]
[5,4,3,2,6,7,8,1] => [1,1,1,4,1]
[4,5,3,2,6,7,8,1] => [2,1,4,1]
[5,3,4,2,6,7,8,1] => [1,2,4,1]
[4,3,5,2,6,7,8,1] => [1,2,4,1]
[3,4,5,2,6,7,8,1] => [3,4,1]
[5,4,2,3,6,7,8,1] => [1,1,5,1]
[4,5,2,3,6,7,8,1] => [2,5,1]
[5,3,2,4,6,7,8,1] => [1,1,5,1]
[5,2,3,4,6,7,8,1] => [1,6,1]
[4,3,2,5,6,7,8,1] => [1,1,5,1]
[3,4,2,5,6,7,8,1] => [2,5,1]
[4,2,3,5,6,7,8,1] => [1,6,1]
[3,2,4,5,6,7,8,1] => [1,6,1]
[2,3,4,5,6,7,8,1] => [7,1]
[8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,2]
[7,8,6,5,4,3,1,2] => [2,1,1,1,1,2]
[8,6,7,5,4,3,1,2] => [1,2,1,1,1,2]
[7,6,8,5,4,3,1,2] => [1,2,1,1,1,2]
[6,7,8,5,4,3,1,2] => [3,1,1,1,2]
[8,7,5,6,4,3,1,2] => [1,1,2,1,1,2]
[7,8,5,6,4,3,1,2] => [2,2,1,1,2]
[8,6,5,7,4,3,1,2] => [1,1,2,1,1,2]
[8,5,6,7,4,3,1,2] => [1,3,1,1,2]
[7,6,5,8,4,3,1,2] => [1,1,2,1,1,2]
[6,7,5,8,4,3,1,2] => [2,2,1,1,2]
[7,5,6,8,4,3,1,2] => [1,3,1,1,2]
[6,5,7,8,4,3,1,2] => [1,3,1,1,2]
[5,6,7,8,4,3,1,2] => [4,1,1,2]
[8,7,6,4,5,3,1,2] => [1,1,1,2,1,2]
[7,8,6,4,5,3,1,2] => [2,1,2,1,2]
[8,6,7,4,5,3,1,2] => [1,2,2,1,2]
[7,6,8,4,5,3,1,2] => [1,2,2,1,2]
[6,7,8,4,5,3,1,2] => [3,2,1,2]
[8,7,5,4,6,3,1,2] => [1,1,1,2,1,2]
[8,7,4,5,6,3,1,2] => [1,1,3,1,2]
[7,8,4,5,6,3,1,2] => [2,3,1,2]
[8,5,6,4,7,3,1,2] => [1,2,2,1,2]
[8,6,4,5,7,3,1,2] => [1,1,3,1,2]
[8,5,4,6,7,3,1,2] => [1,1,3,1,2]
[7,6,5,4,8,3,1,2] => [1,1,1,2,1,2]
[6,7,5,4,8,3,1,2] => [2,1,2,1,2]
[7,5,6,4,8,3,1,2] => [1,2,2,1,2]
[6,5,7,4,8,3,1,2] => [1,2,2,1,2]
[7,6,4,5,8,3,1,2] => [1,1,3,1,2]
[6,7,4,5,8,3,1,2] => [2,3,1,2]
[7,5,4,6,8,3,1,2] => [1,1,3,1,2]
[7,4,5,6,8,3,1,2] => [1,4,1,2]
[6,5,4,7,8,3,1,2] => [1,1,3,1,2]
[5,6,4,7,8,3,1,2] => [2,3,1,2]
[6,4,5,7,8,3,1,2] => [1,4,1,2]
[5,4,6,7,8,3,1,2] => [1,4,1,2]
[4,5,6,7,8,3,1,2] => [5,1,2]
[8,7,6,5,3,4,1,2] => [1,1,1,1,2,2]
[7,8,6,5,3,4,1,2] => [2,1,1,2,2]
[7,6,8,5,3,4,1,2] => [1,2,1,2,2]
[6,7,8,5,3,4,1,2] => [3,1,2,2]
[8,7,5,6,3,4,1,2] => [1,1,2,2,2]
[7,8,5,6,3,4,1,2] => [2,2,2,2]
[8,6,5,7,3,4,1,2] => [1,1,2,2,2]
[8,5,6,7,3,4,1,2] => [1,3,2,2]
[7,6,5,8,3,4,1,2] => [1,1,2,2,2]
[6,7,5,8,3,4,1,2] => [2,2,2,2]
[7,5,6,8,3,4,1,2] => [1,3,2,2]
[6,5,7,8,3,4,1,2] => [1,3,2,2]
[5,6,7,8,3,4,1,2] => [4,2,2]
[8,7,6,4,3,5,1,2] => [1,1,1,1,2,2]
[7,8,6,4,3,5,1,2] => [2,1,1,2,2]
[8,6,7,4,3,5,1,2] => [1,2,1,2,2]
[7,6,8,4,3,5,1,2] => [1,2,1,2,2]
[6,7,8,4,3,5,1,2] => [3,1,2,2]
[8,7,6,3,4,5,1,2] => [1,1,1,3,2]
[7,8,6,3,4,5,1,2] => [2,1,3,2]
[8,6,7,3,4,5,1,2] => [1,2,3,2]
[7,6,8,3,4,5,1,2] => [1,2,3,2]
[6,7,8,3,4,5,1,2] => [3,3,2]
[8,7,5,4,3,6,1,2] => [1,1,1,1,2,2]
[7,8,5,4,3,6,1,2] => [2,1,1,2,2]
[8,7,4,5,3,6,1,2] => [1,1,2,2,2]
[7,8,4,5,3,6,1,2] => [2,2,2,2]
[8,7,5,3,4,6,1,2] => [1,1,1,3,2]
[7,8,5,3,4,6,1,2] => [2,1,3,2]
[8,7,4,3,5,6,1,2] => [1,1,1,3,2]
[7,8,4,3,5,6,1,2] => [2,1,3,2]
[8,7,3,4,5,6,1,2] => [1,1,4,2]
[7,8,3,4,5,6,1,2] => [2,4,2]
[8,6,5,4,3,7,1,2] => [1,1,1,1,2,2]
[8,5,6,3,4,7,1,2] => [1,2,3,2]
[8,6,4,3,5,7,1,2] => [1,1,1,3,2]
[8,6,3,4,5,7,1,2] => [1,1,4,2]
[8,5,4,3,6,7,1,2] => [1,1,1,3,2]
[8,5,3,4,6,7,1,2] => [1,1,4,2]
[8,4,3,5,6,7,1,2] => [1,1,4,2]
[8,3,4,5,6,7,1,2] => [1,5,2]
[7,6,5,4,3,8,1,2] => [1,1,1,1,2,2]
[6,7,5,4,3,8,1,2] => [2,1,1,2,2]
[7,5,6,4,3,8,1,2] => [1,2,1,2,2]
[6,5,7,4,3,8,1,2] => [1,2,1,2,2]
[5,6,7,4,3,8,1,2] => [3,1,2,2]
[7,6,4,5,3,8,1,2] => [1,1,2,2,2]
[6,7,4,5,3,8,1,2] => [2,2,2,2]
[7,5,4,6,3,8,1,2] => [1,1,2,2,2]
[7,4,5,6,3,8,1,2] => [1,3,2,2]
[6,5,4,7,3,8,1,2] => [1,1,2,2,2]
[5,6,4,7,3,8,1,2] => [2,2,2,2]
[6,4,5,7,3,8,1,2] => [1,3,2,2]
[5,4,6,7,3,8,1,2] => [1,3,2,2]
[4,5,6,7,3,8,1,2] => [4,2,2]
[7,6,5,3,4,8,1,2] => [1,1,1,3,2]
[6,7,5,3,4,8,1,2] => [2,1,3,2]
[7,5,6,3,4,8,1,2] => [1,2,3,2]
[6,5,7,3,4,8,1,2] => [1,2,3,2]
[5,6,7,3,4,8,1,2] => [3,3,2]
[7,6,4,3,5,8,1,2] => [1,1,1,3,2]
[6,7,4,3,5,8,1,2] => [2,1,3,2]
[7,6,3,4,5,8,1,2] => [1,1,4,2]
[6,7,3,4,5,8,1,2] => [2,4,2]
[7,5,4,3,6,8,1,2] => [1,1,1,3,2]
[7,5,3,4,6,8,1,2] => [1,1,4,2]
[7,3,4,5,6,8,1,2] => [1,5,2]
[6,5,4,3,7,8,1,2] => [1,1,1,3,2]
[5,6,4,3,7,8,1,2] => [2,1,3,2]
[5,4,6,3,7,8,1,2] => [1,2,3,2]
[4,5,6,3,7,8,1,2] => [3,3,2]
[6,5,3,4,7,8,1,2] => [1,1,4,2]
[5,6,3,4,7,8,1,2] => [2,4,2]
[6,4,3,5,7,8,1,2] => [1,1,4,2]
[6,3,4,5,7,8,1,2] => [1,5,2]
[5,4,3,6,7,8,1,2] => [1,1,4,2]
[4,5,3,6,7,8,1,2] => [2,4,2]
[5,3,4,6,7,8,1,2] => [1,5,2]
[4,3,5,6,7,8,1,2] => [1,5,2]
[3,4,5,6,7,8,1,2] => [6,2]
[8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,2]
[7,8,6,5,4,2,1,3] => [2,1,1,1,1,2]
[8,6,7,5,4,2,1,3] => [1,2,1,1,1,2]
[7,6,8,5,4,2,1,3] => [1,2,1,1,1,2]
[6,7,8,5,4,2,1,3] => [3,1,1,1,2]
[8,7,5,6,4,2,1,3] => [1,1,2,1,1,2]
[7,8,5,6,4,2,1,3] => [2,2,1,1,2]
[8,6,5,7,4,2,1,3] => [1,1,2,1,1,2]
[8,5,6,7,4,2,1,3] => [1,3,1,1,2]
[7,6,5,8,4,2,1,3] => [1,1,2,1,1,2]
[6,7,5,8,4,2,1,3] => [2,2,1,1,2]
[7,5,6,8,4,2,1,3] => [1,3,1,1,2]
[6,5,7,8,4,2,1,3] => [1,3,1,1,2]
[5,6,7,8,4,2,1,3] => [4,1,1,2]
[8,7,6,4,5,2,1,3] => [1,1,1,2,1,2]
[7,8,6,4,5,2,1,3] => [2,1,2,1,2]
[8,6,7,4,5,2,1,3] => [1,2,2,1,2]
[7,6,8,4,5,2,1,3] => [1,2,2,1,2]
[6,7,8,4,5,2,1,3] => [3,2,1,2]
[8,7,5,4,6,2,1,3] => [1,1,1,2,1,2]
[7,8,5,4,6,2,1,3] => [2,1,2,1,2]
[8,7,4,5,6,2,1,3] => [1,1,3,1,2]
[7,8,4,5,6,2,1,3] => [2,3,1,2]
[8,6,5,4,7,2,1,3] => [1,1,1,2,1,2]
[8,6,4,5,7,2,1,3] => [1,1,3,1,2]
[8,5,4,6,7,2,1,3] => [1,1,3,1,2]
[8,4,5,6,7,2,1,3] => [1,4,1,2]
[7,6,5,4,8,2,1,3] => [1,1,1,2,1,2]
[6,7,5,4,8,2,1,3] => [2,1,2,1,2]
[7,5,6,4,8,2,1,3] => [1,2,2,1,2]
[6,5,7,4,8,2,1,3] => [1,2,2,1,2]
[5,6,7,4,8,2,1,3] => [3,2,1,2]
[7,6,4,5,8,2,1,3] => [1,1,3,1,2]
[6,7,4,5,8,2,1,3] => [2,3,1,2]
[7,5,4,6,8,2,1,3] => [1,1,3,1,2]
[7,4,5,6,8,2,1,3] => [1,4,1,2]
[6,5,4,7,8,2,1,3] => [1,1,3,1,2]
[5,6,4,7,8,2,1,3] => [2,3,1,2]
[5,4,6,7,8,2,1,3] => [1,4,1,2]
[4,5,6,7,8,2,1,3] => [5,1,2]
[8,7,6,5,4,1,2,3] => [1,1,1,1,1,3]
[7,8,6,5,4,1,2,3] => [2,1,1,1,3]
[7,6,8,5,4,1,2,3] => [1,2,1,1,3]
[6,7,8,5,4,1,2,3] => [3,1,1,3]
[7,8,5,6,4,1,2,3] => [2,2,1,3]
[8,6,5,7,4,1,2,3] => [1,1,2,1,3]
[8,5,6,7,4,1,2,3] => [1,3,1,3]
[7,6,5,8,4,1,2,3] => [1,1,2,1,3]
[6,7,5,8,4,1,2,3] => [2,2,1,3]
[7,5,6,8,4,1,2,3] => [1,3,1,3]
[6,5,7,8,4,1,2,3] => [1,3,1,3]
[5,6,7,8,4,1,2,3] => [4,1,3]
[8,7,6,4,5,1,2,3] => [1,1,1,2,3]
[7,8,6,4,5,1,2,3] => [2,1,2,3]
[8,6,7,4,5,1,2,3] => [1,2,2,3]
[6,7,8,4,5,1,2,3] => [3,2,3]
[8,7,5,4,6,1,2,3] => [1,1,1,2,3]
[7,8,5,4,6,1,2,3] => [2,1,2,3]
[8,7,4,5,6,1,2,3] => [1,1,3,3]
[7,8,4,5,6,1,2,3] => [2,3,3]
[8,6,5,4,7,1,2,3] => [1,1,1,2,3]
[8,5,6,4,7,1,2,3] => [1,2,2,3]
[8,6,4,5,7,1,2,3] => [1,1,3,3]
[8,5,4,6,7,1,2,3] => [1,1,3,3]
[8,4,5,6,7,1,2,3] => [1,4,3]
[7,6,5,4,8,1,2,3] => [1,1,1,2,3]
[6,7,5,4,8,1,2,3] => [2,1,2,3]
[7,5,6,4,8,1,2,3] => [1,2,2,3]
[6,5,7,4,8,1,2,3] => [1,2,2,3]
[5,6,7,4,8,1,2,3] => [3,2,3]
[7,6,4,5,8,1,2,3] => [1,1,3,3]
[6,7,4,5,8,1,2,3] => [2,3,3]
[7,5,4,6,8,1,2,3] => [1,1,3,3]
[7,4,5,6,8,1,2,3] => [1,4,3]
[6,5,4,7,8,1,2,3] => [1,1,3,3]
[5,6,4,7,8,1,2,3] => [2,3,3]
[6,4,5,7,8,1,2,3] => [1,4,3]
[5,4,6,7,8,1,2,3] => [1,4,3]
[4,5,6,7,8,1,2,3] => [5,3]
[8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,2]
[7,8,6,5,3,2,1,4] => [2,1,1,1,1,2]
[8,6,7,5,3,2,1,4] => [1,2,1,1,1,2]
[7,6,8,5,3,2,1,4] => [1,2,1,1,1,2]
[6,7,8,5,3,2,1,4] => [3,1,1,1,2]
[8,7,5,6,3,2,1,4] => [1,1,2,1,1,2]
[7,8,5,6,3,2,1,4] => [2,2,1,1,2]
[8,6,5,7,3,2,1,4] => [1,1,2,1,1,2]
[8,5,6,7,3,2,1,4] => [1,3,1,1,2]
[7,6,5,8,3,2,1,4] => [1,1,2,1,1,2]
[6,7,5,8,3,2,1,4] => [2,2,1,1,2]
[7,5,6,8,3,2,1,4] => [1,3,1,1,2]
[6,5,7,8,3,2,1,4] => [1,3,1,1,2]
[5,6,7,8,3,2,1,4] => [4,1,1,2]
[8,7,6,5,2,3,1,4] => [1,1,1,1,2,2]
[7,8,6,5,2,3,1,4] => [2,1,1,2,2]
[8,6,7,5,2,3,1,4] => [1,2,1,2,2]
[7,6,8,5,2,3,1,4] => [1,2,1,2,2]
[6,7,8,5,2,3,1,4] => [3,1,2,2]
[8,7,5,6,2,3,1,4] => [1,1,2,2,2]
[7,8,5,6,2,3,1,4] => [2,2,2,2]
[8,6,5,7,2,3,1,4] => [1,1,2,2,2]
[8,5,6,7,2,3,1,4] => [1,3,2,2]
[7,6,5,8,2,3,1,4] => [1,1,2,2,2]
[6,7,5,8,2,3,1,4] => [2,2,2,2]
[7,5,6,8,2,3,1,4] => [1,3,2,2]
[6,5,7,8,2,3,1,4] => [1,3,2,2]
[5,6,7,8,2,3,1,4] => [4,2,2]
[8,7,6,5,3,1,2,4] => [1,1,1,1,1,3]
[7,8,6,5,3,1,2,4] => [2,1,1,1,3]
[8,6,7,5,3,1,2,4] => [1,2,1,1,3]
[7,6,8,5,3,1,2,4] => [1,2,1,1,3]
[6,7,8,5,3,1,2,4] => [3,1,1,3]
[8,7,5,6,3,1,2,4] => [1,1,2,1,3]
[7,8,5,6,3,1,2,4] => [2,2,1,3]
[8,6,5,7,3,1,2,4] => [1,1,2,1,3]
[8,5,6,7,3,1,2,4] => [1,3,1,3]
[7,6,5,8,3,1,2,4] => [1,1,2,1,3]
[6,7,5,8,3,1,2,4] => [2,2,1,3]
[7,5,6,8,3,1,2,4] => [1,3,1,3]
[6,5,7,8,3,1,2,4] => [1,3,1,3]
[5,6,7,8,3,1,2,4] => [4,1,3]
[8,7,6,5,2,1,3,4] => [1,1,1,1,1,3]
[7,8,6,5,2,1,3,4] => [2,1,1,1,3]
[8,6,7,5,2,1,3,4] => [1,2,1,1,3]
[7,6,8,5,2,1,3,4] => [1,2,1,1,3]
[6,7,8,5,2,1,3,4] => [3,1,1,3]
[8,7,5,6,2,1,3,4] => [1,1,2,1,3]
[7,8,5,6,2,1,3,4] => [2,2,1,3]
[8,6,5,7,2,1,3,4] => [1,1,2,1,3]
[8,5,6,7,2,1,3,4] => [1,3,1,3]
[7,6,5,8,2,1,3,4] => [1,1,2,1,3]
[6,7,5,8,2,1,3,4] => [2,2,1,3]
[7,5,6,8,2,1,3,4] => [1,3,1,3]
[6,5,7,8,2,1,3,4] => [1,3,1,3]
[5,6,7,8,2,1,3,4] => [4,1,3]
[8,7,6,5,1,2,3,4] => [1,1,1,1,4]
[7,8,6,5,1,2,3,4] => [2,1,1,4]
[8,6,7,5,1,2,3,4] => [1,2,1,4]
[7,6,8,5,1,2,3,4] => [1,2,1,4]
[6,7,8,5,1,2,3,4] => [3,1,4]
[8,7,5,6,1,2,3,4] => [1,1,2,4]
[7,8,5,6,1,2,3,4] => [2,2,4]
[8,6,5,7,1,2,3,4] => [1,1,2,4]
[8,5,6,7,1,2,3,4] => [1,3,4]
[7,6,5,8,1,2,3,4] => [1,1,2,4]
[6,7,5,8,1,2,3,4] => [2,2,4]
[7,5,6,8,1,2,3,4] => [1,3,4]
[6,5,7,8,1,2,3,4] => [1,3,4]
[5,6,7,8,1,2,3,4] => [4,4]
[8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,2]
[7,8,6,4,3,2,1,5] => [2,1,1,1,1,2]
[8,6,7,4,3,2,1,5] => [1,2,1,1,1,2]
[7,6,8,4,3,2,1,5] => [1,2,1,1,1,2]
[6,7,8,4,3,2,1,5] => [3,1,1,1,2]
[8,7,6,3,4,2,1,5] => [1,1,1,2,1,2]
[7,8,6,3,4,2,1,5] => [2,1,2,1,2]
[8,6,7,3,4,2,1,5] => [1,2,2,1,2]
[6,7,8,3,4,2,1,5] => [3,2,1,2]
[8,7,6,4,2,3,1,5] => [1,1,1,1,2,2]
[7,8,6,4,2,3,1,5] => [2,1,1,2,2]
[8,6,7,4,2,3,1,5] => [1,2,1,2,2]
[7,6,8,4,2,3,1,5] => [1,2,1,2,2]
[6,7,8,4,2,3,1,5] => [3,1,2,2]
[8,7,6,3,2,4,1,5] => [1,1,1,1,2,2]
[8,6,7,3,2,4,1,5] => [1,2,1,2,2]
[7,6,8,3,2,4,1,5] => [1,2,1,2,2]
[6,7,8,3,2,4,1,5] => [3,1,2,2]
[8,7,6,2,3,4,1,5] => [1,1,1,3,2]
[7,8,6,2,3,4,1,5] => [2,1,3,2]
[8,6,7,2,3,4,1,5] => [1,2,3,2]
[7,6,8,2,3,4,1,5] => [1,2,3,2]
[6,7,8,2,3,4,1,5] => [3,3,2]
[8,7,6,4,3,1,2,5] => [1,1,1,1,1,3]
[7,8,6,4,3,1,2,5] => [2,1,1,1,3]
[8,6,7,4,3,1,2,5] => [1,2,1,1,3]
[7,6,8,4,3,1,2,5] => [1,2,1,1,3]
[6,7,8,4,3,1,2,5] => [3,1,1,3]
[8,7,6,3,4,1,2,5] => [1,1,1,2,3]
[7,8,6,3,4,1,2,5] => [2,1,2,3]
[8,6,7,3,4,1,2,5] => [1,2,2,3]
[7,6,8,3,4,1,2,5] => [1,2,2,3]
[6,7,8,3,4,1,2,5] => [3,2,3]
[8,7,6,4,2,1,3,5] => [1,1,1,1,1,3]
[7,8,6,4,2,1,3,5] => [2,1,1,1,3]
[8,6,7,4,2,1,3,5] => [1,2,1,1,3]
[7,6,8,4,2,1,3,5] => [1,2,1,1,3]
[6,7,8,4,2,1,3,5] => [3,1,1,3]
[8,7,6,4,1,2,3,5] => [1,1,1,1,4]
[7,8,6,4,1,2,3,5] => [2,1,1,4]
[8,6,7,4,1,2,3,5] => [1,2,1,4]
[7,6,8,4,1,2,3,5] => [1,2,1,4]
[6,7,8,4,1,2,3,5] => [3,1,4]
[8,7,6,3,2,1,4,5] => [1,1,1,1,1,3]
[7,8,6,3,2,1,4,5] => [2,1,1,1,3]
[8,6,7,3,2,1,4,5] => [1,2,1,1,3]
[7,6,8,3,2,1,4,5] => [1,2,1,1,3]
[6,7,8,3,2,1,4,5] => [3,1,1,3]
[8,7,6,2,3,1,4,5] => [1,1,1,2,3]
[7,8,6,2,3,1,4,5] => [2,1,2,3]
[8,6,7,2,3,1,4,5] => [1,2,2,3]
[7,6,8,2,3,1,4,5] => [1,2,2,3]
[6,7,8,2,3,1,4,5] => [3,2,3]
[8,7,6,3,1,2,4,5] => [1,1,1,1,4]
[7,8,6,3,1,2,4,5] => [2,1,1,4]
[8,6,7,3,1,2,4,5] => [1,2,1,4]
[7,6,8,3,1,2,4,5] => [1,2,1,4]
[6,7,8,3,1,2,4,5] => [3,1,4]
[8,7,6,2,1,3,4,5] => [1,1,1,1,4]
[7,8,6,2,1,3,4,5] => [2,1,1,4]
[8,6,7,2,1,3,4,5] => [1,2,1,4]
[7,6,8,2,1,3,4,5] => [1,2,1,4]
[6,7,8,2,1,3,4,5] => [3,1,4]
[8,7,6,1,2,3,4,5] => [1,1,1,5]
[7,8,6,1,2,3,4,5] => [2,1,5]
[8,6,7,1,2,3,4,5] => [1,2,5]
[7,6,8,1,2,3,4,5] => [1,2,5]
[6,7,8,1,2,3,4,5] => [3,5]
[8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,2]
[7,8,5,4,3,2,1,6] => [2,1,1,1,1,2]
[8,7,4,5,3,2,1,6] => [1,1,2,1,1,2]
[7,8,4,5,3,2,1,6] => [2,2,1,1,2]
[8,7,5,3,4,2,1,6] => [1,1,1,2,1,2]
[8,7,4,3,5,2,1,6] => [1,1,1,2,1,2]
[7,8,4,3,5,2,1,6] => [2,1,2,1,2]
[8,7,3,4,5,2,1,6] => [1,1,3,1,2]
[7,8,3,4,5,2,1,6] => [2,3,1,2]
[8,7,5,4,2,3,1,6] => [1,1,1,1,2,2]
[8,7,4,5,2,3,1,6] => [1,1,2,2,2]
[7,8,4,5,2,3,1,6] => [2,2,2,2]
[8,7,5,3,2,4,1,6] => [1,1,1,1,2,2]
[7,8,5,3,2,4,1,6] => [2,1,1,2,2]
[8,7,5,2,3,4,1,6] => [1,1,1,3,2]
[7,8,5,2,3,4,1,6] => [2,1,3,2]
[8,7,4,3,2,5,1,6] => [1,1,1,1,2,2]
[7,8,4,3,2,5,1,6] => [2,1,1,2,2]
[8,7,3,4,2,5,1,6] => [1,1,2,2,2]
[7,8,3,4,2,5,1,6] => [2,2,2,2]
[8,7,4,2,3,5,1,6] => [1,1,1,3,2]
[8,7,3,2,4,5,1,6] => [1,1,1,3,2]
[7,8,3,2,4,5,1,6] => [2,1,3,2]
[8,7,2,3,4,5,1,6] => [1,1,4,2]
[7,8,2,3,4,5,1,6] => [2,4,2]
[8,7,5,4,3,1,2,6] => [1,1,1,1,1,3]
[7,8,5,4,3,1,2,6] => [2,1,1,1,3]
[8,7,5,3,4,1,2,6] => [1,1,1,2,3]
[7,8,5,3,4,1,2,6] => [2,1,2,3]
[8,7,4,3,5,1,2,6] => [1,1,1,2,3]
[7,8,4,3,5,1,2,6] => [2,1,2,3]
[8,7,3,4,5,1,2,6] => [1,1,3,3]
[7,8,3,4,5,1,2,6] => [2,3,3]
[8,7,5,4,2,1,3,6] => [1,1,1,1,1,3]
[7,8,5,4,2,1,3,6] => [2,1,1,1,3]
[7,8,4,5,2,1,3,6] => [2,2,1,3]
[8,7,5,4,1,2,3,6] => [1,1,1,1,4]
[7,8,5,4,1,2,3,6] => [2,1,1,4]
[8,7,4,5,1,2,3,6] => [1,1,2,4]
[7,8,4,5,1,2,3,6] => [2,2,4]
[8,7,5,3,2,1,4,6] => [1,1,1,1,1,3]
[7,8,5,3,2,1,4,6] => [2,1,1,1,3]
[8,7,5,2,3,1,4,6] => [1,1,1,2,3]
[7,8,5,2,3,1,4,6] => [2,1,2,3]
[8,7,5,3,1,2,4,6] => [1,1,1,1,4]
[7,8,5,3,1,2,4,6] => [2,1,1,4]
[8,7,5,2,1,3,4,6] => [1,1,1,1,4]
[7,8,5,2,1,3,4,6] => [2,1,1,4]
[8,7,5,1,2,3,4,6] => [1,1,1,5]
[7,8,5,1,2,3,4,6] => [2,1,5]
[8,7,4,3,2,1,5,6] => [1,1,1,1,1,3]
[7,8,4,3,2,1,5,6] => [2,1,1,1,3]
[8,7,3,4,2,1,5,6] => [1,1,2,1,3]
[7,8,3,4,2,1,5,6] => [2,2,1,3]
[7,8,4,2,3,1,5,6] => [2,1,2,3]
[8,7,3,2,4,1,5,6] => [1,1,1,2,3]
[7,8,3,2,4,1,5,6] => [2,1,2,3]
[8,7,2,3,4,1,5,6] => [1,1,3,3]
[7,8,2,3,4,1,5,6] => [2,3,3]
[8,7,4,3,1,2,5,6] => [1,1,1,1,4]
[7,8,4,3,1,2,5,6] => [2,1,1,4]
[8,7,3,4,1,2,5,6] => [1,1,2,4]
[7,8,3,4,1,2,5,6] => [2,2,4]
[8,7,4,2,1,3,5,6] => [1,1,1,1,4]
[7,8,4,2,1,3,5,6] => [2,1,1,4]
[8,7,4,1,2,3,5,6] => [1,1,1,5]
[7,8,4,1,2,3,5,6] => [2,1,5]
[8,7,3,2,1,4,5,6] => [1,1,1,1,4]
[7,8,3,2,1,4,5,6] => [2,1,1,4]
[8,7,2,3,1,4,5,6] => [1,1,2,4]
[7,8,2,3,1,4,5,6] => [2,2,4]
[7,8,3,1,2,4,5,6] => [2,1,5]
[8,7,2,1,3,4,5,6] => [1,1,1,5]
[7,8,2,1,3,4,5,6] => [2,1,5]
[8,7,1,2,3,4,5,6] => [1,1,6]
[7,8,1,2,3,4,5,6] => [2,6]
[8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,2]
[8,5,6,4,3,2,1,7] => [1,2,1,1,1,2]
[8,6,4,5,3,2,1,7] => [1,1,2,1,1,2]
[8,4,5,6,3,2,1,7] => [1,3,1,1,2]
[8,6,5,3,4,2,1,7] => [1,1,1,2,1,2]
[8,5,6,3,4,2,1,7] => [1,2,2,1,2]
[8,6,4,3,5,2,1,7] => [1,1,1,2,1,2]
[8,5,4,3,6,2,1,7] => [1,1,1,2,1,2]
[8,4,5,3,6,2,1,7] => [1,2,2,1,2]
[8,4,3,5,6,2,1,7] => [1,1,3,1,2]
[8,3,4,5,6,2,1,7] => [1,4,1,2]
[8,6,5,4,2,3,1,7] => [1,1,1,1,2,2]
[8,5,6,4,2,3,1,7] => [1,2,1,2,2]
[8,6,4,5,2,3,1,7] => [1,1,2,2,2]
[8,4,5,6,2,3,1,7] => [1,3,2,2]
[8,6,5,3,2,4,1,7] => [1,1,1,1,2,2]
[8,6,5,2,3,4,1,7] => [1,1,1,3,2]
[8,5,6,2,3,4,1,7] => [1,2,3,2]
[8,6,4,3,2,5,1,7] => [1,1,1,1,2,2]
[8,6,3,4,2,5,1,7] => [1,1,2,2,2]
[8,6,4,2,3,5,1,7] => [1,1,1,3,2]
[8,6,3,2,4,5,1,7] => [1,1,1,3,2]
[8,5,4,3,2,6,1,7] => [1,1,1,1,2,2]
[8,4,5,3,2,6,1,7] => [1,2,1,2,2]
[8,5,3,4,2,6,1,7] => [1,1,2,2,2]
[8,4,3,5,2,6,1,7] => [1,1,2,2,2]
[8,3,4,5,2,6,1,7] => [1,3,2,2]
[8,5,4,2,3,6,1,7] => [1,1,1,3,2]
[8,4,5,2,3,6,1,7] => [1,2,3,2]
[8,5,3,2,4,6,1,7] => [1,1,1,3,2]
[8,5,2,3,4,6,1,7] => [1,1,4,2]
[8,4,3,2,5,6,1,7] => [1,1,1,3,2]
[8,3,4,2,5,6,1,7] => [1,2,3,2]
[8,4,2,3,5,6,1,7] => [1,1,4,2]
[8,3,2,4,5,6,1,7] => [1,1,4,2]
[8,2,3,4,5,6,1,7] => [1,5,2]
[8,6,5,4,3,1,2,7] => [1,1,1,1,1,3]
[8,6,4,5,3,1,2,7] => [1,1,2,1,3]
[8,5,4,6,3,1,2,7] => [1,1,2,1,3]
[8,6,5,3,4,1,2,7] => [1,1,1,2,3]
[8,5,6,3,4,1,2,7] => [1,2,2,3]
[8,6,4,3,5,1,2,7] => [1,1,1,2,3]
[8,6,3,4,5,1,2,7] => [1,1,3,3]
[8,5,4,3,6,1,2,7] => [1,1,1,2,3]
[8,4,5,3,6,1,2,7] => [1,2,2,3]
[8,5,3,4,6,1,2,7] => [1,1,3,3]
[8,4,3,5,6,1,2,7] => [1,1,3,3]
[8,3,4,5,6,1,2,7] => [1,4,3]
[8,6,5,4,2,1,3,7] => [1,1,1,1,1,3]
[8,5,6,4,2,1,3,7] => [1,2,1,1,3]
[8,6,4,5,2,1,3,7] => [1,1,2,1,3]
[8,5,4,6,2,1,3,7] => [1,1,2,1,3]
[8,4,5,6,2,1,3,7] => [1,3,1,3]
[8,6,5,4,1,2,3,7] => [1,1,1,1,4]
[8,5,6,4,1,2,3,7] => [1,2,1,4]
[8,6,4,5,1,2,3,7] => [1,1,2,4]
[8,5,4,6,1,2,3,7] => [1,1,2,4]
[8,4,5,6,1,2,3,7] => [1,3,4]
[8,6,5,3,2,1,4,7] => [1,1,1,1,1,3]
[8,5,6,3,2,1,4,7] => [1,2,1,1,3]
[8,6,5,2,3,1,4,7] => [1,1,1,2,3]
[8,5,6,2,3,1,4,7] => [1,2,2,3]
[8,6,5,3,1,2,4,7] => [1,1,1,1,4]
[8,5,6,3,1,2,4,7] => [1,2,1,4]
[8,6,5,2,1,3,4,7] => [1,1,1,1,4]
[8,5,6,2,1,3,4,7] => [1,2,1,4]
[8,6,5,1,2,3,4,7] => [1,1,1,5]
[8,5,6,1,2,3,4,7] => [1,2,5]
[8,6,4,3,2,1,5,7] => [1,1,1,1,1,3]
[8,6,3,4,2,1,5,7] => [1,1,2,1,3]
[8,6,4,2,3,1,5,7] => [1,1,1,2,3]
[8,6,3,2,4,1,5,7] => [1,1,1,2,3]
[8,6,2,3,4,1,5,7] => [1,1,3,3]
[8,6,4,3,1,2,5,7] => [1,1,1,1,4]
[8,6,3,4,1,2,5,7] => [1,1,2,4]
[8,6,4,2,1,3,5,7] => [1,1,1,1,4]
[8,6,4,1,2,3,5,7] => [1,1,1,5]
[8,6,3,2,1,4,5,7] => [1,1,1,1,4]
[8,6,2,3,1,4,5,7] => [1,1,2,4]
[8,6,1,2,3,4,5,7] => [1,1,6]
[8,5,4,3,2,1,6,7] => [1,1,1,1,1,3]
[8,4,5,3,2,1,6,7] => [1,2,1,1,3]
[8,4,3,5,2,1,6,7] => [1,1,2,1,3]
[8,3,4,5,2,1,6,7] => [1,3,1,3]
[8,5,4,2,3,1,6,7] => [1,1,1,2,3]
[8,4,5,2,3,1,6,7] => [1,2,2,3]
[8,5,3,2,4,1,6,7] => [1,1,1,2,3]
[8,5,2,3,4,1,6,7] => [1,1,3,3]
[8,4,2,3,5,1,6,7] => [1,1,3,3]
[8,2,3,4,5,1,6,7] => [1,4,3]
[8,5,4,3,1,2,6,7] => [1,1,1,1,4]
[8,5,3,4,1,2,6,7] => [1,1,2,4]
[8,4,3,5,1,2,6,7] => [1,1,2,4]
[8,3,4,5,1,2,6,7] => [1,3,4]
[8,5,4,2,1,3,6,7] => [1,1,1,1,4]
[8,4,5,2,1,3,6,7] => [1,2,1,4]
[8,5,4,1,2,3,6,7] => [1,1,1,5]
[8,4,5,1,2,3,6,7] => [1,2,5]
[8,5,3,2,1,4,6,7] => [1,1,1,1,4]
[8,5,2,3,1,4,6,7] => [1,1,2,4]
[8,5,3,1,2,4,6,7] => [1,1,1,5]
[8,5,2,1,3,4,6,7] => [1,1,1,5]
[8,5,1,2,3,4,6,7] => [1,1,6]
[8,4,3,2,1,5,6,7] => [1,1,1,1,4]
[8,3,4,2,1,5,6,7] => [1,2,1,4]
[8,4,2,3,1,5,6,7] => [1,1,2,4]
[8,3,2,4,1,5,6,7] => [1,1,2,4]
[8,2,3,4,1,5,6,7] => [1,3,4]
[8,4,3,1,2,5,6,7] => [1,1,1,5]
[8,3,4,1,2,5,6,7] => [1,2,5]
[8,4,2,1,3,5,6,7] => [1,1,1,5]
[8,4,1,2,3,5,6,7] => [1,1,6]
[8,3,2,1,4,5,6,7] => [1,1,1,5]
[8,2,3,1,4,5,6,7] => [1,2,5]
[8,3,1,2,4,5,6,7] => [1,1,6]
[8,2,1,3,4,5,6,7] => [1,1,6]
[8,1,2,3,4,5,6,7] => [1,7]
[7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,2]
[6,7,5,4,3,2,1,8] => [2,1,1,1,1,2]
[7,5,6,4,3,2,1,8] => [1,2,1,1,1,2]
[6,5,7,4,3,2,1,8] => [1,2,1,1,1,2]
[5,6,7,4,3,2,1,8] => [3,1,1,1,2]
[7,6,4,5,3,2,1,8] => [1,1,2,1,1,2]
[6,7,4,5,3,2,1,8] => [2,2,1,1,2]
[7,5,4,6,3,2,1,8] => [1,1,2,1,1,2]
[7,4,5,6,3,2,1,8] => [1,3,1,1,2]
[6,5,4,7,3,2,1,8] => [1,1,2,1,1,2]
[5,6,4,7,3,2,1,8] => [2,2,1,1,2]
[5,4,6,7,3,2,1,8] => [1,3,1,1,2]
[4,5,6,7,3,2,1,8] => [4,1,1,2]
[7,6,5,3,4,2,1,8] => [1,1,1,2,1,2]
[6,7,5,3,4,2,1,8] => [2,1,2,1,2]
[7,5,6,3,4,2,1,8] => [1,2,2,1,2]
[6,5,7,3,4,2,1,8] => [1,2,2,1,2]
[5,6,7,3,4,2,1,8] => [3,2,1,2]
[7,6,4,3,5,2,1,8] => [1,1,1,2,1,2]
[6,7,4,3,5,2,1,8] => [2,1,2,1,2]
[7,6,3,4,5,2,1,8] => [1,1,3,1,2]
[7,5,4,3,6,2,1,8] => [1,1,1,2,1,2]
[7,4,5,3,6,2,1,8] => [1,2,2,1,2]
[7,3,4,5,6,2,1,8] => [1,4,1,2]
[6,5,4,3,7,2,1,8] => [1,1,1,2,1,2]
[5,6,4,3,7,2,1,8] => [2,1,2,1,2]
[6,4,5,3,7,2,1,8] => [1,2,2,1,2]
[5,4,6,3,7,2,1,8] => [1,2,2,1,2]
[4,5,6,3,7,2,1,8] => [3,2,1,2]
[5,6,3,4,7,2,1,8] => [2,3,1,2]
[5,4,3,6,7,2,1,8] => [1,1,3,1,2]
[4,5,3,6,7,2,1,8] => [2,3,1,2]
[3,4,5,6,7,2,1,8] => [5,1,2]
[7,6,5,4,2,3,1,8] => [1,1,1,1,2,2]
[6,7,5,4,2,3,1,8] => [2,1,1,2,2]
[7,5,6,4,2,3,1,8] => [1,2,1,2,2]
[5,6,7,4,2,3,1,8] => [3,1,2,2]
[7,6,4,5,2,3,1,8] => [1,1,2,2,2]
[6,7,4,5,2,3,1,8] => [2,2,2,2]
[7,5,4,6,2,3,1,8] => [1,1,2,2,2]
[7,4,5,6,2,3,1,8] => [1,3,2,2]
[6,5,4,7,2,3,1,8] => [1,1,2,2,2]
[5,6,4,7,2,3,1,8] => [2,2,2,2]
[5,4,6,7,2,3,1,8] => [1,3,2,2]
[4,5,6,7,2,3,1,8] => [4,2,2]
[7,6,5,3,2,4,1,8] => [1,1,1,1,2,2]
[7,5,6,3,2,4,1,8] => [1,2,1,2,2]
[6,5,7,3,2,4,1,8] => [1,2,1,2,2]
[5,6,7,3,2,4,1,8] => [3,1,2,2]
[7,6,5,2,3,4,1,8] => [1,1,1,3,2]
[6,7,5,2,3,4,1,8] => [2,1,3,2]
[7,5,6,2,3,4,1,8] => [1,2,3,2]
[6,5,7,2,3,4,1,8] => [1,2,3,2]
[5,6,7,2,3,4,1,8] => [3,3,2]
[7,6,4,3,2,5,1,8] => [1,1,1,1,2,2]
[6,7,4,3,2,5,1,8] => [2,1,1,2,2]
[6,7,3,4,2,5,1,8] => [2,2,2,2]
[7,6,4,2,3,5,1,8] => [1,1,1,3,2]
[6,7,4,2,3,5,1,8] => [2,1,3,2]
[7,6,3,2,4,5,1,8] => [1,1,1,3,2]
[6,7,3,2,4,5,1,8] => [2,1,3,2]
[7,6,2,3,4,5,1,8] => [1,1,4,2]
[6,7,2,3,4,5,1,8] => [2,4,2]
[7,5,4,3,2,6,1,8] => [1,1,1,1,2,2]
[7,4,5,3,2,6,1,8] => [1,2,1,2,2]
[7,5,3,4,2,6,1,8] => [1,1,2,2,2]
[7,4,3,5,2,6,1,8] => [1,1,2,2,2]
[7,3,4,5,2,6,1,8] => [1,3,2,2]
[7,5,4,2,3,6,1,8] => [1,1,1,3,2]
[7,4,5,2,3,6,1,8] => [1,2,3,2]
[7,5,3,2,4,6,1,8] => [1,1,1,3,2]
[7,5,2,3,4,6,1,8] => [1,1,4,2]
[7,4,3,2,5,6,1,8] => [1,1,1,3,2]
[7,4,2,3,5,6,1,8] => [1,1,4,2]
[7,3,2,4,5,6,1,8] => [1,1,4,2]
[7,2,3,4,5,6,1,8] => [1,5,2]
[6,5,4,3,2,7,1,8] => [1,1,1,1,2,2]
[5,4,6,3,2,7,1,8] => [1,2,1,2,2]
[5,6,3,4,2,7,1,8] => [2,2,2,2]
[6,4,3,5,2,7,1,8] => [1,1,2,2,2]
[6,3,4,5,2,7,1,8] => [1,3,2,2]
[5,4,3,6,2,7,1,8] => [1,1,2,2,2]
[4,5,3,6,2,7,1,8] => [2,2,2,2]
[5,3,4,6,2,7,1,8] => [1,3,2,2]
[4,3,5,6,2,7,1,8] => [1,3,2,2]
[3,4,5,6,2,7,1,8] => [4,2,2]
[6,4,5,2,3,7,1,8] => [1,2,3,2]
[5,4,6,2,3,7,1,8] => [1,2,3,2]
[4,5,6,2,3,7,1,8] => [3,3,2]
[6,5,3,2,4,7,1,8] => [1,1,1,3,2]
[5,6,3,2,4,7,1,8] => [2,1,3,2]
[6,5,2,3,4,7,1,8] => [1,1,4,2]
[5,6,2,3,4,7,1,8] => [2,4,2]
[6,3,4,2,5,7,1,8] => [1,2,3,2]
[6,4,2,3,5,7,1,8] => [1,1,4,2]
[6,3,2,4,5,7,1,8] => [1,1,4,2]
[6,2,3,4,5,7,1,8] => [1,5,2]
[5,4,3,2,6,7,1,8] => [1,1,1,3,2]
[4,5,3,2,6,7,1,8] => [2,1,3,2]
[5,3,4,2,6,7,1,8] => [1,2,3,2]
[3,4,5,2,6,7,1,8] => [3,3,2]
[5,4,2,3,6,7,1,8] => [1,1,4,2]
[4,5,2,3,6,7,1,8] => [2,4,2]
[5,3,2,4,6,7,1,8] => [1,1,4,2]
[5,2,3,4,6,7,1,8] => [1,5,2]
[4,3,2,5,6,7,1,8] => [1,1,4,2]
[3,4,2,5,6,7,1,8] => [2,4,2]
[4,2,3,5,6,7,1,8] => [1,5,2]
[3,2,4,5,6,7,1,8] => [1,5,2]
[2,3,4,5,6,7,1,8] => [6,2]
[7,6,5,4,3,1,2,8] => [1,1,1,1,1,3]
[6,7,5,4,3,1,2,8] => [2,1,1,1,3]
[7,5,6,4,3,1,2,8] => [1,2,1,1,3]
[6,5,7,4,3,1,2,8] => [1,2,1,1,3]
[5,6,7,4,3,1,2,8] => [3,1,1,3]
[7,6,4,5,3,1,2,8] => [1,1,2,1,3]
[7,5,4,6,3,1,2,8] => [1,1,2,1,3]
[7,4,5,6,3,1,2,8] => [1,3,1,3]
[5,4,6,7,3,1,2,8] => [1,3,1,3]
[4,5,6,7,3,1,2,8] => [4,1,3]
[7,6,5,3,4,1,2,8] => [1,1,1,2,3]
[6,7,5,3,4,1,2,8] => [2,1,2,3]
[7,5,6,3,4,1,2,8] => [1,2,2,3]
[5,6,7,3,4,1,2,8] => [3,2,3]
[7,6,4,3,5,1,2,8] => [1,1,1,2,3]
[6,7,4,3,5,1,2,8] => [2,1,2,3]
[6,7,3,4,5,1,2,8] => [2,3,3]
[7,5,4,3,6,1,2,8] => [1,1,1,2,3]
[7,4,5,3,6,1,2,8] => [1,2,2,3]
[7,5,3,4,6,1,2,8] => [1,1,3,3]
[7,4,3,5,6,1,2,8] => [1,1,3,3]
[7,3,4,5,6,1,2,8] => [1,4,3]
[6,5,4,3,7,1,2,8] => [1,1,1,2,3]
[5,6,4,3,7,1,2,8] => [2,1,2,3]
[5,4,6,3,7,1,2,8] => [1,2,2,3]
[6,5,3,4,7,1,2,8] => [1,1,3,3]
[5,6,3,4,7,1,2,8] => [2,3,3]
[6,4,3,5,7,1,2,8] => [1,1,3,3]
[6,3,4,5,7,1,2,8] => [1,4,3]
[4,5,3,6,7,1,2,8] => [2,3,3]
[5,3,4,6,7,1,2,8] => [1,4,3]
[4,3,5,6,7,1,2,8] => [1,4,3]
[3,4,5,6,7,1,2,8] => [5,3]
[7,6,5,4,2,1,3,8] => [1,1,1,1,1,3]
[6,7,5,4,2,1,3,8] => [2,1,1,1,3]
[6,5,7,4,2,1,3,8] => [1,2,1,1,3]
[5,6,7,4,2,1,3,8] => [3,1,1,3]
[7,6,4,5,2,1,3,8] => [1,1,2,1,3]
[6,7,4,5,2,1,3,8] => [2,2,1,3]
[7,5,4,6,2,1,3,8] => [1,1,2,1,3]
[7,4,5,6,2,1,3,8] => [1,3,1,3]
[6,5,4,7,2,1,3,8] => [1,1,2,1,3]
[5,4,6,7,2,1,3,8] => [1,3,1,3]
[4,5,6,7,2,1,3,8] => [4,1,3]
[7,6,5,4,1,2,3,8] => [1,1,1,1,4]
[6,7,5,4,1,2,3,8] => [2,1,1,4]
[7,5,6,4,1,2,3,8] => [1,2,1,4]
[6,5,7,4,1,2,3,8] => [1,2,1,4]
[5,6,7,4,1,2,3,8] => [3,1,4]
[7,6,4,5,1,2,3,8] => [1,1,2,4]
[6,7,4,5,1,2,3,8] => [2,2,4]
[7,5,4,6,1,2,3,8] => [1,1,2,4]
[7,4,5,6,1,2,3,8] => [1,3,4]
[6,5,4,7,1,2,3,8] => [1,1,2,4]
[5,6,4,7,1,2,3,8] => [2,2,4]
[6,4,5,7,1,2,3,8] => [1,3,4]
[5,4,6,7,1,2,3,8] => [1,3,4]
[4,5,6,7,1,2,3,8] => [4,4]
[7,6,5,3,2,1,4,8] => [1,1,1,1,1,3]
[6,7,5,3,2,1,4,8] => [2,1,1,1,3]
[7,5,6,3,2,1,4,8] => [1,2,1,1,3]
[5,6,7,3,2,1,4,8] => [3,1,1,3]
[7,6,5,2,3,1,4,8] => [1,1,1,2,3]
[6,7,5,2,3,1,4,8] => [2,1,2,3]
[7,5,6,2,3,1,4,8] => [1,2,2,3]
[6,5,7,2,3,1,4,8] => [1,2,2,3]
[5,6,7,2,3,1,4,8] => [3,2,3]
[7,6,5,3,1,2,4,8] => [1,1,1,1,4]
[6,7,5,3,1,2,4,8] => [2,1,1,4]
[7,5,6,3,1,2,4,8] => [1,2,1,4]
[5,6,7,3,1,2,4,8] => [3,1,4]
[7,6,5,2,1,3,4,8] => [1,1,1,1,4]
[6,7,5,2,1,3,4,8] => [2,1,1,4]
[7,5,6,2,1,3,4,8] => [1,2,1,4]
[5,6,7,2,1,3,4,8] => [3,1,4]
[7,6,5,1,2,3,4,8] => [1,1,1,5]
[6,7,5,1,2,3,4,8] => [2,1,5]
[7,5,6,1,2,3,4,8] => [1,2,5]
[6,5,7,1,2,3,4,8] => [1,2,5]
[5,6,7,1,2,3,4,8] => [3,5]
[7,6,4,3,2,1,5,8] => [1,1,1,1,1,3]
[6,7,4,3,2,1,5,8] => [2,1,1,1,3]
[7,6,3,4,2,1,5,8] => [1,1,2,1,3]
[7,6,3,2,4,1,5,8] => [1,1,1,2,3]
[6,7,3,2,4,1,5,8] => [2,1,2,3]
[7,6,2,3,4,1,5,8] => [1,1,3,3]
[6,7,2,3,4,1,5,8] => [2,3,3]
[7,6,4,3,1,2,5,8] => [1,1,1,1,4]
[6,7,4,3,1,2,5,8] => [2,1,1,4]
[7,6,3,4,1,2,5,8] => [1,1,2,4]
[6,7,3,4,1,2,5,8] => [2,2,4]
[7,6,4,2,1,3,5,8] => [1,1,1,1,4]
[7,6,4,1,2,3,5,8] => [1,1,1,5]
[7,6,3,2,1,4,5,8] => [1,1,1,1,4]
[6,7,3,2,1,4,5,8] => [2,1,1,4]
[7,6,2,3,1,4,5,8] => [1,1,2,4]
[6,7,2,3,1,4,5,8] => [2,2,4]
[7,6,3,1,2,4,5,8] => [1,1,1,5]
[6,7,3,1,2,4,5,8] => [2,1,5]
[6,7,2,1,3,4,5,8] => [2,1,5]
[7,6,1,2,3,4,5,8] => [1,1,6]
[6,7,1,2,3,4,5,8] => [2,6]
[7,5,4,3,2,1,6,8] => [1,1,1,1,1,3]
[7,4,5,3,2,1,6,8] => [1,2,1,1,3]
[7,5,3,4,2,1,6,8] => [1,1,2,1,3]
[7,4,3,5,2,1,6,8] => [1,1,2,1,3]
[7,3,4,5,2,1,6,8] => [1,3,1,3]
[7,5,4,2,3,1,6,8] => [1,1,1,2,3]
[7,4,5,2,3,1,6,8] => [1,2,2,3]
[7,5,3,2,4,1,6,8] => [1,1,1,2,3]
[7,5,2,3,4,1,6,8] => [1,1,3,3]
[7,4,3,2,5,1,6,8] => [1,1,1,2,3]
[7,4,2,3,5,1,6,8] => [1,1,3,3]
[7,2,3,4,5,1,6,8] => [1,4,3]
[7,4,5,3,1,2,6,8] => [1,2,1,4]
[7,5,3,4,1,2,6,8] => [1,1,2,4]
[7,4,3,5,1,2,6,8] => [1,1,2,4]
[7,3,4,5,1,2,6,8] => [1,3,4]
[7,4,5,2,1,3,6,8] => [1,2,1,4]
[7,5,4,1,2,3,6,8] => [1,1,1,5]
[7,4,5,1,2,3,6,8] => [1,2,5]
[7,5,3,2,1,4,6,8] => [1,1,1,1,4]
[7,5,2,3,1,4,6,8] => [1,1,2,4]
[7,5,3,1,2,4,6,8] => [1,1,1,5]
[7,5,2,1,3,4,6,8] => [1,1,1,5]
[7,5,1,2,3,4,6,8] => [1,1,6]
[7,4,3,2,1,5,6,8] => [1,1,1,1,4]
[7,3,4,2,1,5,6,8] => [1,2,1,4]
[7,4,2,3,1,5,6,8] => [1,1,2,4]
[7,3,2,4,1,5,6,8] => [1,1,2,4]
[7,2,3,4,1,5,6,8] => [1,3,4]
[7,4,3,1,2,5,6,8] => [1,1,1,5]
[7,3,4,1,2,5,6,8] => [1,2,5]
[7,4,1,2,3,5,6,8] => [1,1,6]
[7,3,2,1,4,5,6,8] => [1,1,1,5]
[7,2,3,1,4,5,6,8] => [1,2,5]
[7,3,1,2,4,5,6,8] => [1,1,6]
[7,2,1,3,4,5,6,8] => [1,1,6]
[7,1,2,3,4,5,6,8] => [1,7]
[6,5,4,3,2,1,7,8] => [1,1,1,1,1,3]
[5,6,4,3,2,1,7,8] => [2,1,1,1,3]
[6,4,5,3,2,1,7,8] => [1,2,1,1,3]
[5,4,6,3,2,1,7,8] => [1,2,1,1,3]
[4,5,6,3,2,1,7,8] => [3,1,1,3]
[6,5,3,4,2,1,7,8] => [1,1,2,1,3]
[5,6,3,4,2,1,7,8] => [2,2,1,3]
[6,4,3,5,2,1,7,8] => [1,1,2,1,3]
[6,3,4,5,2,1,7,8] => [1,3,1,3]
[5,4,3,6,2,1,7,8] => [1,1,2,1,3]
[4,5,3,6,2,1,7,8] => [2,2,1,3]
[4,3,5,6,2,1,7,8] => [1,3,1,3]
[3,4,5,6,2,1,7,8] => [4,1,3]
[6,5,4,2,3,1,7,8] => [1,1,1,2,3]
[5,6,4,2,3,1,7,8] => [2,1,2,3]
[6,4,5,2,3,1,7,8] => [1,2,2,3]
[5,4,6,2,3,1,7,8] => [1,2,2,3]
[4,5,6,2,3,1,7,8] => [3,2,3]
[6,5,3,2,4,1,7,8] => [1,1,1,2,3]
[5,6,3,2,4,1,7,8] => [2,1,2,3]
[6,5,2,3,4,1,7,8] => [1,1,3,3]
[5,6,2,3,4,1,7,8] => [2,3,3]
[6,4,3,2,5,1,7,8] => [1,1,1,2,3]
[6,3,4,2,5,1,7,8] => [1,2,2,3]
[6,4,2,3,5,1,7,8] => [1,1,3,3]
[6,3,2,4,5,1,7,8] => [1,1,3,3]
[6,2,3,4,5,1,7,8] => [1,4,3]
[5,4,3,2,6,1,7,8] => [1,1,1,2,3]
[4,5,3,2,6,1,7,8] => [2,1,2,3]
[4,3,5,2,6,1,7,8] => [1,2,2,3]
[3,4,5,2,6,1,7,8] => [3,2,3]
[5,4,2,3,6,1,7,8] => [1,1,3,3]
[5,3,2,4,6,1,7,8] => [1,1,3,3]
[5,2,3,4,6,1,7,8] => [1,4,3]
[4,3,2,5,6,1,7,8] => [1,1,3,3]
[3,4,2,5,6,1,7,8] => [2,3,3]
[4,2,3,5,6,1,7,8] => [1,4,3]
[3,2,4,5,6,1,7,8] => [1,4,3]
[2,3,4,5,6,1,7,8] => [5,3]
[6,5,4,3,1,2,7,8] => [1,1,1,1,4]
[5,6,4,3,1,2,7,8] => [2,1,1,4]
[6,4,5,3,1,2,7,8] => [1,2,1,4]
[5,4,6,3,1,2,7,8] => [1,2,1,4]
[4,5,6,3,1,2,7,8] => [3,1,4]
[6,5,3,4,1,2,7,8] => [1,1,2,4]
[5,6,3,4,1,2,7,8] => [2,2,4]
[6,4,3,5,1,2,7,8] => [1,1,2,4]
[5,4,3,6,1,2,7,8] => [1,1,2,4]
[4,5,3,6,1,2,7,8] => [2,2,4]
[5,3,4,6,1,2,7,8] => [1,3,4]
[3,4,5,6,1,2,7,8] => [4,4]
[6,5,4,2,1,3,7,8] => [1,1,1,1,4]
[5,6,4,2,1,3,7,8] => [2,1,1,4]
[6,4,5,2,1,3,7,8] => [1,2,1,4]
[5,4,6,2,1,3,7,8] => [1,2,1,4]
[4,5,6,2,1,3,7,8] => [3,1,4]
[6,5,4,1,2,3,7,8] => [1,1,1,5]
[6,4,5,1,2,3,7,8] => [1,2,5]
[4,5,6,1,2,3,7,8] => [3,5]
[6,5,3,2,1,4,7,8] => [1,1,1,1,4]
[5,6,3,2,1,4,7,8] => [2,1,1,4]
[6,5,2,3,1,4,7,8] => [1,1,2,4]
[5,6,2,3,1,4,7,8] => [2,2,4]
[5,6,3,1,2,4,7,8] => [2,1,5]
[6,5,2,1,3,4,7,8] => [1,1,1,5]
[6,5,1,2,3,4,7,8] => [1,1,6]
[5,6,1,2,3,4,7,8] => [2,6]
[6,4,3,2,1,5,7,8] => [1,1,1,1,4]
[6,3,4,2,1,5,7,8] => [1,2,1,4]
[6,3,2,4,1,5,7,8] => [1,1,2,4]
[6,2,3,4,1,5,7,8] => [1,3,4]
[6,4,3,1,2,5,7,8] => [1,1,1,5]
[6,4,2,1,3,5,7,8] => [1,1,1,5]
[6,4,1,2,3,5,7,8] => [1,1,6]
[6,3,2,1,4,5,7,8] => [1,1,1,5]
[6,2,3,1,4,5,7,8] => [1,2,5]
[6,3,1,2,4,5,7,8] => [1,1,6]
[6,2,1,3,4,5,7,8] => [1,1,6]
[6,1,2,3,4,5,7,8] => [1,7]
[5,4,3,2,1,6,7,8] => [1,1,1,1,4]
[4,5,3,2,1,6,7,8] => [2,1,1,4]
[5,3,4,2,1,6,7,8] => [1,2,1,4]
[4,3,5,2,1,6,7,8] => [1,2,1,4]
[3,4,5,2,1,6,7,8] => [3,1,4]
[5,4,2,3,1,6,7,8] => [1,1,2,4]
[4,5,2,3,1,6,7,8] => [2,2,4]
[5,3,2,4,1,6,7,8] => [1,1,2,4]
[5,2,3,4,1,6,7,8] => [1,3,4]
[4,3,2,5,1,6,7,8] => [1,1,2,4]
[3,4,2,5,1,6,7,8] => [2,2,4]
[4,2,3,5,1,6,7,8] => [1,3,4]
[3,2,4,5,1,6,7,8] => [1,3,4]
[2,3,4,5,1,6,7,8] => [4,4]
[5,4,3,1,2,6,7,8] => [1,1,1,5]
[4,5,3,1,2,6,7,8] => [2,1,5]
[5,3,4,1,2,6,7,8] => [1,2,5]
[3,4,5,1,2,6,7,8] => [3,5]
[5,4,2,1,3,6,7,8] => [1,1,1,5]
[5,4,1,2,3,6,7,8] => [1,1,6]
[4,5,1,2,3,6,7,8] => [2,6]
[5,3,2,1,4,6,7,8] => [1,1,1,5]
[5,2,3,1,4,6,7,8] => [1,2,5]
[5,3,1,2,4,6,7,8] => [1,1,6]
[5,2,1,3,4,6,7,8] => [1,1,6]
[5,1,2,3,4,6,7,8] => [1,7]
[4,3,2,1,5,6,7,8] => [1,1,1,5]
[3,4,2,1,5,6,7,8] => [2,1,5]
[4,2,3,1,5,6,7,8] => [1,2,5]
[3,2,4,1,5,6,7,8] => [1,2,5]
[2,3,4,1,5,6,7,8] => [3,5]
[4,3,1,2,5,6,7,8] => [1,1,6]
[3,4,1,2,5,6,7,8] => [2,6]
[4,2,1,3,5,6,7,8] => [1,1,6]
[4,1,2,3,5,6,7,8] => [1,7]
[3,2,1,4,5,6,7,8] => [1,1,6]
[2,3,1,4,5,6,7,8] => [2,6]
[3,1,2,4,5,6,7,8] => [1,7]
[2,1,3,4,5,6,7,8] => [1,7]
[1,2,3,4,5,6,7,8] => [8]
[6,8,7,5,4,3,2,1] => [2,1,1,1,1,1,1]
[5,8,7,6,4,3,2,1] => [2,1,1,1,1,1,1]
[5,7,8,6,4,3,2,1] => [3,1,1,1,1,1]
[6,5,8,7,4,3,2,1] => [1,2,1,1,1,1,1]
[5,6,8,7,4,3,2,1] => [3,1,1,1,1,1]
[5,7,6,8,4,3,2,1] => [2,2,1,1,1,1]
[4,8,7,6,5,3,2,1] => [2,1,1,1,1,1,1]
[4,7,8,6,5,3,2,1] => [3,1,1,1,1,1]
[4,6,8,7,5,3,2,1] => [3,1,1,1,1,1]
[4,7,6,8,5,3,2,1] => [2,2,1,1,1,1]
[4,6,7,8,5,3,2,1] => [4,1,1,1,1]
[5,4,8,7,6,3,2,1] => [1,2,1,1,1,1,1]
[5,4,7,8,6,3,2,1] => [1,3,1,1,1,1]
[4,5,8,7,6,3,2,1] => [3,1,1,1,1,1]
[4,5,7,8,6,3,2,1] => [4,1,1,1,1]
[6,5,4,8,7,3,2,1] => [1,1,2,1,1,1,1]
[5,6,4,8,7,3,2,1] => [2,2,1,1,1,1]
[4,6,5,8,7,3,2,1] => [2,2,1,1,1,1]
[5,4,6,8,7,3,2,1] => [1,3,1,1,1,1]
[4,5,6,8,7,3,2,1] => [4,1,1,1,1]
[5,7,6,4,8,3,2,1] => [2,1,2,1,1,1]
[4,7,6,5,8,3,2,1] => [2,1,2,1,1,1]
[4,6,7,5,8,3,2,1] => [3,2,1,1,1]
[5,4,7,6,8,3,2,1] => [1,2,2,1,1,1]
[4,5,7,6,8,3,2,1] => [3,2,1,1,1]
[4,6,5,7,8,3,2,1] => [2,3,1,1,1]
[3,8,7,6,5,4,2,1] => [2,1,1,1,1,1,1]
[3,7,8,6,5,4,2,1] => [3,1,1,1,1,1]
[3,6,8,7,5,4,2,1] => [3,1,1,1,1,1]
[3,7,6,8,5,4,2,1] => [2,2,1,1,1,1]
[3,6,7,8,5,4,2,1] => [4,1,1,1,1]
[3,5,8,7,6,4,2,1] => [3,1,1,1,1,1]
[3,5,7,8,6,4,2,1] => [4,1,1,1,1]
[3,6,5,8,7,4,2,1] => [2,2,1,1,1,1]
[3,5,6,8,7,4,2,1] => [4,1,1,1,1]
[3,7,6,5,8,4,2,1] => [2,1,2,1,1,1]
[3,6,7,5,8,4,2,1] => [3,2,1,1,1]
[3,5,7,6,8,4,2,1] => [3,2,1,1,1]
[3,6,5,7,8,4,2,1] => [2,3,1,1,1]
[3,5,6,7,8,4,2,1] => [5,1,1,1]
[4,3,8,7,6,5,2,1] => [1,2,1,1,1,1,1]
[4,3,7,8,6,5,2,1] => [1,3,1,1,1,1]
[4,3,6,8,7,5,2,1] => [1,3,1,1,1,1]
[4,3,7,6,8,5,2,1] => [1,2,2,1,1,1]
[4,3,6,7,8,5,2,1] => [1,4,1,1,1]
[3,4,8,7,6,5,2,1] => [3,1,1,1,1,1]
[3,4,7,8,6,5,2,1] => [4,1,1,1,1]
[3,4,6,8,7,5,2,1] => [4,1,1,1,1]
[3,4,7,6,8,5,2,1] => [3,2,1,1,1]
[3,4,6,7,8,5,2,1] => [5,1,1,1]
[5,4,3,8,7,6,2,1] => [1,1,2,1,1,1,1]
[5,4,3,7,8,6,2,1] => [1,1,3,1,1,1]
[4,5,3,8,7,6,2,1] => [2,2,1,1,1,1]
[4,5,3,7,8,6,2,1] => [2,3,1,1,1]
[3,5,4,8,7,6,2,1] => [2,2,1,1,1,1]
[3,5,4,7,8,6,2,1] => [2,3,1,1,1]
[4,3,5,8,7,6,2,1] => [1,3,1,1,1,1]
[4,3,5,7,8,6,2,1] => [1,4,1,1,1]
[3,4,5,8,7,6,2,1] => [4,1,1,1,1]
[3,4,5,7,8,6,2,1] => [5,1,1,1]
[6,5,4,3,8,7,2,1] => [1,1,1,2,1,1,1]
[5,6,4,3,8,7,2,1] => [2,1,2,1,1,1]
[4,6,5,3,8,7,2,1] => [2,1,2,1,1,1]
[5,4,6,3,8,7,2,1] => [1,2,2,1,1,1]
[4,5,6,3,8,7,2,1] => [3,2,1,1,1]
[3,6,5,4,8,7,2,1] => [2,1,2,1,1,1]
[3,5,6,4,8,7,2,1] => [3,2,1,1,1]
[4,3,6,5,8,7,2,1] => [1,2,2,1,1,1]
[3,4,6,5,8,7,2,1] => [3,2,1,1,1]
[5,4,3,6,8,7,2,1] => [1,1,3,1,1,1]
[4,5,3,6,8,7,2,1] => [2,3,1,1,1]
[3,5,4,6,8,7,2,1] => [2,3,1,1,1]
[4,3,5,6,8,7,2,1] => [1,4,1,1,1]
[3,4,5,6,8,7,2,1] => [5,1,1,1]
[5,7,6,4,3,8,2,1] => [2,1,1,2,1,1]
[4,7,6,5,3,8,2,1] => [2,1,1,2,1,1]
[4,6,7,5,3,8,2,1] => [3,1,2,1,1]
[5,4,7,6,3,8,2,1] => [1,2,1,2,1,1]
[4,5,7,6,3,8,2,1] => [3,1,2,1,1]
[4,6,5,7,3,8,2,1] => [2,2,2,1,1]
[3,7,6,5,4,8,2,1] => [2,1,1,2,1,1]
[3,6,7,5,4,8,2,1] => [3,1,2,1,1]
[3,5,7,6,4,8,2,1] => [3,1,2,1,1]
[3,6,5,7,4,8,2,1] => [2,2,2,1,1]
[3,5,6,7,4,8,2,1] => [4,2,1,1]
[4,3,7,6,5,8,2,1] => [1,2,1,2,1,1]
[4,3,6,7,5,8,2,1] => [1,3,2,1,1]
[3,4,7,6,5,8,2,1] => [3,1,2,1,1]
[3,4,6,7,5,8,2,1] => [4,2,1,1]
[5,4,3,7,6,8,2,1] => [1,1,2,2,1,1]
[4,5,3,7,6,8,2,1] => [2,2,2,1,1]
[3,5,4,7,6,8,2,1] => [2,2,2,1,1]
[4,3,5,7,6,8,2,1] => [1,3,2,1,1]
[3,4,5,7,6,8,2,1] => [4,2,1,1]
[4,6,5,3,7,8,2,1] => [2,1,3,1,1]
[3,6,5,4,7,8,2,1] => [2,1,3,1,1]
[3,5,6,4,7,8,2,1] => [3,3,1,1]
[4,3,6,5,7,8,2,1] => [1,2,3,1,1]
[3,4,6,5,7,8,2,1] => [3,3,1,1]
[3,5,4,6,7,8,2,1] => [2,4,1,1]
[2,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1]
[2,7,8,6,5,4,3,1] => [3,1,1,1,1,1]
[2,6,8,7,5,4,3,1] => [3,1,1,1,1,1]
[2,7,6,8,5,4,3,1] => [2,2,1,1,1,1]
[2,6,7,8,5,4,3,1] => [4,1,1,1,1]
[2,5,8,7,6,4,3,1] => [3,1,1,1,1,1]
[2,5,7,8,6,4,3,1] => [4,1,1,1,1]
[2,6,5,8,7,4,3,1] => [2,2,1,1,1,1]
[2,5,6,8,7,4,3,1] => [4,1,1,1,1]
[2,7,6,5,8,4,3,1] => [2,1,2,1,1,1]
[2,6,7,5,8,4,3,1] => [3,2,1,1,1]
[2,5,7,6,8,4,3,1] => [3,2,1,1,1]
[2,6,5,7,8,4,3,1] => [2,3,1,1,1]
[2,5,6,7,8,4,3,1] => [5,1,1,1]
[2,4,8,7,6,5,3,1] => [3,1,1,1,1,1]
[2,4,7,8,6,5,3,1] => [4,1,1,1,1]
[2,4,6,8,7,5,3,1] => [4,1,1,1,1]
[2,4,6,7,8,5,3,1] => [5,1,1,1]
[2,5,4,8,7,6,3,1] => [2,2,1,1,1,1]
[2,5,4,7,8,6,3,1] => [2,3,1,1,1]
[2,4,5,7,8,6,3,1] => [5,1,1,1]
[2,6,5,4,8,7,3,1] => [2,1,2,1,1,1]
[2,5,6,4,8,7,3,1] => [3,2,1,1,1]
[2,4,6,5,8,7,3,1] => [3,2,1,1,1]
[2,4,5,6,8,7,3,1] => [5,1,1,1]
[2,7,6,5,4,8,3,1] => [2,1,1,2,1,1]
[2,6,7,5,4,8,3,1] => [3,1,2,1,1]
[2,5,7,6,4,8,3,1] => [3,1,2,1,1]
[2,6,5,7,4,8,3,1] => [2,2,2,1,1]
[2,5,6,7,4,8,3,1] => [4,2,1,1]
[2,4,7,6,5,8,3,1] => [3,1,2,1,1]
[2,4,6,7,5,8,3,1] => [4,2,1,1]
[2,5,4,7,6,8,3,1] => [2,2,2,1,1]
[2,6,5,4,7,8,3,1] => [2,1,3,1,1]
[2,5,6,4,7,8,3,1] => [3,3,1,1]
[2,4,6,5,7,8,3,1] => [3,3,1,1]
[2,5,4,6,7,8,3,1] => [2,4,1,1]
[2,4,5,6,7,8,3,1] => [6,1,1]
[3,2,8,7,6,5,4,1] => [1,2,1,1,1,1,1]
[3,2,7,8,6,5,4,1] => [1,3,1,1,1,1]
[3,2,6,8,7,5,4,1] => [1,3,1,1,1,1]
[3,2,7,6,8,5,4,1] => [1,2,2,1,1,1]
[3,2,5,8,7,6,4,1] => [1,3,1,1,1,1]
[3,2,5,7,8,6,4,1] => [1,4,1,1,1]
[3,2,6,5,8,7,4,1] => [1,2,2,1,1,1]
[3,2,5,6,8,7,4,1] => [1,4,1,1,1]
[3,2,7,6,5,8,4,1] => [1,2,1,2,1,1]
[3,2,6,7,5,8,4,1] => [1,3,2,1,1]
[3,2,5,7,6,8,4,1] => [1,3,2,1,1]
[3,2,6,5,7,8,4,1] => [1,2,3,1,1]
[3,2,5,6,7,8,4,1] => [1,5,1,1]
[2,3,8,7,6,5,4,1] => [3,1,1,1,1,1]
[2,3,7,8,6,5,4,1] => [4,1,1,1,1]
[2,3,6,8,7,5,4,1] => [4,1,1,1,1]
[2,3,7,6,8,5,4,1] => [3,2,1,1,1]
[2,3,6,7,8,5,4,1] => [5,1,1,1]
[2,3,5,7,8,6,4,1] => [5,1,1,1]
[2,3,6,5,8,7,4,1] => [3,2,1,1,1]
[2,3,5,6,8,7,4,1] => [5,1,1,1]
[2,3,7,6,5,8,4,1] => [3,1,2,1,1]
[2,3,6,7,5,8,4,1] => [4,2,1,1]
[2,3,5,7,6,8,4,1] => [4,2,1,1]
[2,3,6,5,7,8,4,1] => [3,3,1,1]
[2,3,5,6,7,8,4,1] => [6,1,1]
[4,3,2,8,7,6,5,1] => [1,1,2,1,1,1,1]
[4,3,2,7,8,6,5,1] => [1,1,3,1,1,1]
[4,3,2,6,8,7,5,1] => [1,1,3,1,1,1]
[4,3,2,6,7,8,5,1] => [1,1,4,1,1]
[3,4,2,8,7,6,5,1] => [2,2,1,1,1,1]
[3,4,2,7,8,6,5,1] => [2,3,1,1,1]
[3,4,2,6,8,7,5,1] => [2,3,1,1,1]
[3,4,2,7,6,8,5,1] => [2,2,2,1,1]
[3,4,2,6,7,8,5,1] => [2,4,1,1]
[2,4,3,8,7,6,5,1] => [2,2,1,1,1,1]
[2,4,3,7,8,6,5,1] => [2,3,1,1,1]
[2,4,3,6,8,7,5,1] => [2,3,1,1,1]
[2,4,3,7,6,8,5,1] => [2,2,2,1,1]
[2,4,3,6,7,8,5,1] => [2,4,1,1]
[3,2,4,8,7,6,5,1] => [1,3,1,1,1,1]
[3,2,4,7,8,6,5,1] => [1,4,1,1,1]
[3,2,4,7,6,8,5,1] => [1,3,2,1,1]
[3,2,4,6,7,8,5,1] => [1,5,1,1]
[2,3,4,8,7,6,5,1] => [4,1,1,1,1]
[2,3,4,7,8,6,5,1] => [5,1,1,1]
[2,3,4,6,8,7,5,1] => [5,1,1,1]
[2,3,4,7,6,8,5,1] => [4,2,1,1]
[2,3,4,6,7,8,5,1] => [6,1,1]
[5,4,3,2,8,7,6,1] => [1,1,1,2,1,1,1]
[5,4,3,2,7,8,6,1] => [1,1,1,3,1,1]
[4,5,3,2,8,7,6,1] => [2,1,2,1,1,1]
[4,5,3,2,7,8,6,1] => [2,1,3,1,1]
[3,5,4,2,7,8,6,1] => [2,1,3,1,1]
[3,4,5,2,8,7,6,1] => [3,2,1,1,1]
[3,4,5,2,7,8,6,1] => [3,3,1,1]
[2,5,4,3,8,7,6,1] => [2,1,2,1,1,1]
[2,5,4,3,7,8,6,1] => [2,1,3,1,1]
[2,4,5,3,8,7,6,1] => [3,2,1,1,1]
[2,4,5,3,7,8,6,1] => [3,3,1,1]
[3,2,5,4,7,8,6,1] => [1,2,3,1,1]
[2,3,5,4,8,7,6,1] => [3,2,1,1,1]
[2,3,5,4,7,8,6,1] => [3,3,1,1]
[4,3,2,5,8,7,6,1] => [1,1,3,1,1,1]
[4,3,2,5,7,8,6,1] => [1,1,4,1,1]
[3,4,2,5,8,7,6,1] => [2,3,1,1,1]
[3,4,2,5,7,8,6,1] => [2,4,1,1]
[2,4,3,5,8,7,6,1] => [2,3,1,1,1]
[2,4,3,5,7,8,6,1] => [2,4,1,1]
[3,2,4,5,7,8,6,1] => [1,5,1,1]
[2,3,4,5,8,7,6,1] => [5,1,1,1]
[2,3,4,5,7,8,6,1] => [6,1,1]
[6,5,4,3,2,8,7,1] => [1,1,1,1,2,1,1]
[5,6,4,3,2,8,7,1] => [2,1,1,2,1,1]
[4,6,5,3,2,8,7,1] => [2,1,1,2,1,1]
[5,4,6,3,2,8,7,1] => [1,2,1,2,1,1]
[4,5,6,3,2,8,7,1] => [3,1,2,1,1]
[3,6,5,4,2,8,7,1] => [2,1,1,2,1,1]
[3,5,6,4,2,8,7,1] => [3,1,2,1,1]
[4,3,6,5,2,8,7,1] => [1,2,1,2,1,1]
[5,4,3,6,2,8,7,1] => [1,1,2,2,1,1]
[4,5,3,6,2,8,7,1] => [2,2,2,1,1]
[3,5,4,6,2,8,7,1] => [2,2,2,1,1]
[3,4,5,6,2,8,7,1] => [4,2,1,1]
[2,6,5,4,3,8,7,1] => [2,1,1,2,1,1]
[2,4,6,5,3,8,7,1] => [3,1,2,1,1]
[2,4,5,6,3,8,7,1] => [4,2,1,1]
[3,2,6,5,4,8,7,1] => [1,2,1,2,1,1]
[2,3,5,6,4,8,7,1] => [4,2,1,1]
[4,3,2,6,5,8,7,1] => [1,1,2,2,1,1]
[3,4,2,6,5,8,7,1] => [2,2,2,1,1]
[2,4,3,6,5,8,7,1] => [2,2,2,1,1]
[3,2,4,6,5,8,7,1] => [1,3,2,1,1]
[2,3,4,6,5,8,7,1] => [4,2,1,1]
[5,4,3,2,6,8,7,1] => [1,1,1,3,1,1]
[4,5,3,2,6,8,7,1] => [2,1,3,1,1]
[3,5,4,2,6,8,7,1] => [2,1,3,1,1]
[4,3,5,2,6,8,7,1] => [1,2,3,1,1]
[3,4,5,2,6,8,7,1] => [3,3,1,1]
[2,5,4,3,6,8,7,1] => [2,1,3,1,1]
[2,4,5,3,6,8,7,1] => [3,3,1,1]
[3,2,5,4,6,8,7,1] => [1,2,3,1,1]
[4,3,2,5,6,8,7,1] => [1,1,4,1,1]
[3,4,2,5,6,8,7,1] => [2,4,1,1]
[2,4,3,5,6,8,7,1] => [2,4,1,1]
[3,2,4,5,6,8,7,1] => [1,5,1,1]
[2,3,4,5,6,8,7,1] => [6,1,1]
[5,7,6,4,3,2,8,1] => [2,1,1,1,2,1]
[4,7,6,5,3,2,8,1] => [2,1,1,1,2,1]
[4,6,7,5,3,2,8,1] => [3,1,1,2,1]
[5,4,7,6,3,2,8,1] => [1,2,1,1,2,1]
[4,5,7,6,3,2,8,1] => [3,1,1,2,1]
[4,6,5,7,3,2,8,1] => [2,2,1,2,1]
[3,7,6,5,4,2,8,1] => [2,1,1,1,2,1]
[3,6,7,5,4,2,8,1] => [3,1,1,2,1]
[3,5,7,6,4,2,8,1] => [3,1,1,2,1]
[3,6,5,7,4,2,8,1] => [2,2,1,2,1]
[3,5,6,7,4,2,8,1] => [4,1,2,1]
[4,3,7,6,5,2,8,1] => [1,2,1,1,2,1]
[4,3,6,7,5,2,8,1] => [1,3,1,2,1]
[3,4,7,6,5,2,8,1] => [3,1,1,2,1]
[3,4,6,7,5,2,8,1] => [4,1,2,1]
[5,4,3,7,6,2,8,1] => [1,1,2,1,2,1]
[4,5,3,7,6,2,8,1] => [2,2,1,2,1]
[3,5,4,7,6,2,8,1] => [2,2,1,2,1]
[4,3,5,7,6,2,8,1] => [1,3,1,2,1]
[3,4,5,7,6,2,8,1] => [4,1,2,1]
[4,6,5,3,7,2,8,1] => [2,1,2,2,1]
[3,6,5,4,7,2,8,1] => [2,1,2,2,1]
[3,5,6,4,7,2,8,1] => [3,2,2,1]
[4,3,6,5,7,2,8,1] => [1,2,2,2,1]
[3,4,6,5,7,2,8,1] => [3,2,2,1]
[3,5,4,6,7,2,8,1] => [2,3,2,1]
[2,7,6,5,4,3,8,1] => [2,1,1,1,2,1]
[2,5,7,6,4,3,8,1] => [3,1,1,2,1]
[2,6,5,7,4,3,8,1] => [2,2,1,2,1]
[2,5,6,7,4,3,8,1] => [4,1,2,1]
[2,4,7,6,5,3,8,1] => [3,1,1,2,1]
[2,4,6,7,5,3,8,1] => [4,1,2,1]
[2,5,4,7,6,3,8,1] => [2,2,1,2,1]
[2,4,5,7,6,3,8,1] => [4,1,2,1]
[2,5,6,4,7,3,8,1] => [3,2,2,1]
[2,4,6,5,7,3,8,1] => [3,2,2,1]
[2,5,4,6,7,3,8,1] => [2,3,2,1]
[2,4,5,6,7,3,8,1] => [5,2,1]
[3,2,7,6,5,4,8,1] => [1,2,1,1,2,1]
[3,2,6,7,5,4,8,1] => [1,3,1,2,1]
[3,2,5,7,6,4,8,1] => [1,3,1,2,1]
[3,2,6,5,7,4,8,1] => [1,2,2,2,1]
[3,2,5,6,7,4,8,1] => [1,4,2,1]
[2,3,7,6,5,4,8,1] => [3,1,1,2,1]
[2,3,6,7,5,4,8,1] => [4,1,2,1]
[2,3,5,7,6,4,8,1] => [4,1,2,1]
[2,3,5,6,7,4,8,1] => [5,2,1]
[4,3,2,7,6,5,8,1] => [1,1,2,1,2,1]
[4,3,2,6,7,5,8,1] => [1,1,3,2,1]
[3,4,2,7,6,5,8,1] => [2,2,1,2,1]
[3,4,2,6,7,5,8,1] => [2,3,2,1]
[2,4,3,7,6,5,8,1] => [2,2,1,2,1]
[2,4,3,6,7,5,8,1] => [2,3,2,1]
[3,2,4,7,6,5,8,1] => [1,3,1,2,1]
[3,2,4,6,7,5,8,1] => [1,4,2,1]
[2,3,4,7,6,5,8,1] => [4,1,2,1]
[2,3,4,6,7,5,8,1] => [5,2,1]
[5,4,3,2,7,6,8,1] => [1,1,1,2,2,1]
[4,5,3,2,7,6,8,1] => [2,1,2,2,1]
[3,5,4,2,7,6,8,1] => [2,1,2,2,1]
[4,3,5,2,7,6,8,1] => [1,2,2,2,1]
[3,4,5,2,7,6,8,1] => [3,2,2,1]
[2,5,4,3,7,6,8,1] => [2,1,2,2,1]
[2,4,5,3,7,6,8,1] => [3,2,2,1]
[3,2,5,4,7,6,8,1] => [1,2,2,2,1]
[2,3,5,4,7,6,8,1] => [3,2,2,1]
[4,3,2,5,7,6,8,1] => [1,1,3,2,1]
[3,4,2,5,7,6,8,1] => [2,3,2,1]
[2,4,3,5,7,6,8,1] => [2,3,2,1]
[3,2,4,5,7,6,8,1] => [1,4,2,1]
[2,3,4,5,7,6,8,1] => [5,2,1]
[4,6,5,3,2,7,8,1] => [2,1,1,3,1]
[3,6,5,4,2,7,8,1] => [2,1,1,3,1]
[3,5,6,4,2,7,8,1] => [3,1,3,1]
[4,3,6,5,2,7,8,1] => [1,2,1,3,1]
[3,4,6,5,2,7,8,1] => [3,1,3,1]
[3,5,4,6,2,7,8,1] => [2,2,3,1]
[2,6,5,4,3,7,8,1] => [2,1,1,3,1]
[2,5,6,4,3,7,8,1] => [3,1,3,1]
[2,4,6,5,3,7,8,1] => [3,1,3,1]
[2,5,4,6,3,7,8,1] => [2,2,3,1]
[2,4,5,6,3,7,8,1] => [4,3,1]
[3,2,5,6,4,7,8,1] => [1,3,3,1]
[2,3,6,5,4,7,8,1] => [3,1,3,1]
[2,3,5,6,4,7,8,1] => [4,3,1]
[4,3,2,6,5,7,8,1] => [1,1,2,3,1]
[3,4,2,6,5,7,8,1] => [2,2,3,1]
[2,4,3,6,5,7,8,1] => [2,2,3,1]
[2,3,4,6,5,7,8,1] => [4,3,1]
[3,5,4,2,6,7,8,1] => [2,1,4,1]
[2,5,4,3,6,7,8,1] => [2,1,4,1]
[2,4,5,3,6,7,8,1] => [3,4,1]
[3,2,5,4,6,7,8,1] => [1,2,4,1]
[2,3,5,4,6,7,8,1] => [3,4,1]
[2,4,3,5,6,7,8,1] => [2,5,1]
[1,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1]
[1,7,8,6,5,4,3,2] => [3,1,1,1,1,1]
[1,6,8,7,5,4,3,2] => [3,1,1,1,1,1]
[1,7,6,8,5,4,3,2] => [2,2,1,1,1,1]
[1,6,7,8,5,4,3,2] => [4,1,1,1,1]
[1,5,8,7,6,4,3,2] => [3,1,1,1,1,1]
[1,5,7,8,6,4,3,2] => [4,1,1,1,1]
[1,6,5,8,7,4,3,2] => [2,2,1,1,1,1]
[1,5,6,8,7,4,3,2] => [4,1,1,1,1]
[1,7,6,5,8,4,3,2] => [2,1,2,1,1,1]
[1,6,7,5,8,4,3,2] => [3,2,1,1,1]
[1,5,7,6,8,4,3,2] => [3,2,1,1,1]
[1,6,5,7,8,4,3,2] => [2,3,1,1,1]
[1,5,6,7,8,4,3,2] => [5,1,1,1]
[1,4,8,7,6,5,3,2] => [3,1,1,1,1,1]
[1,4,7,8,6,5,3,2] => [4,1,1,1,1]
[1,4,6,8,7,5,3,2] => [4,1,1,1,1]
[1,4,7,6,8,5,3,2] => [3,2,1,1,1]
[1,4,6,7,8,5,3,2] => [5,1,1,1]
[1,5,4,8,7,6,3,2] => [2,2,1,1,1,1]
[1,5,4,7,8,6,3,2] => [2,3,1,1,1]
[1,4,5,8,7,6,3,2] => [4,1,1,1,1]
[1,4,5,7,8,6,3,2] => [5,1,1,1]
[1,6,5,4,8,7,3,2] => [2,1,2,1,1,1]
[1,4,6,5,8,7,3,2] => [3,2,1,1,1]
[1,7,6,5,4,8,3,2] => [2,1,1,2,1,1]
[1,6,5,7,4,8,3,2] => [2,2,2,1,1]
[1,5,6,7,4,8,3,2] => [4,2,1,1]
[1,4,7,6,5,8,3,2] => [3,1,2,1,1]
[1,4,6,7,5,8,3,2] => [4,2,1,1]
[1,5,4,7,6,8,3,2] => [2,2,2,1,1]
[1,4,5,7,6,8,3,2] => [4,2,1,1]
[1,6,5,4,7,8,3,2] => [2,1,3,1,1]
[1,5,6,4,7,8,3,2] => [3,3,1,1]
[1,5,4,6,7,8,3,2] => [2,4,1,1]
[1,4,5,6,7,8,3,2] => [6,1,1]
[1,3,8,7,6,5,4,2] => [3,1,1,1,1,1]
[1,3,7,8,6,5,4,2] => [4,1,1,1,1]
[1,3,6,8,7,5,4,2] => [4,1,1,1,1]
[1,3,7,6,8,5,4,2] => [3,2,1,1,1]
[1,3,6,7,8,5,4,2] => [5,1,1,1]
[1,3,5,8,7,6,4,2] => [4,1,1,1,1]
[1,3,5,7,8,6,4,2] => [5,1,1,1]
[1,3,6,5,8,7,4,2] => [3,2,1,1,1]
[1,3,5,6,8,7,4,2] => [5,1,1,1]
[1,3,7,6,5,8,4,2] => [3,1,2,1,1]
[1,3,6,7,5,8,4,2] => [4,2,1,1]
[1,3,5,7,6,8,4,2] => [4,2,1,1]
[1,3,6,5,7,8,4,2] => [3,3,1,1]
[1,3,5,6,7,8,4,2] => [6,1,1]
[1,4,3,8,7,6,5,2] => [2,2,1,1,1,1]
[1,4,3,7,8,6,5,2] => [2,3,1,1,1]
[1,4,3,6,8,7,5,2] => [2,3,1,1,1]
[1,4,3,7,6,8,5,2] => [2,2,2,1,1]
[1,4,3,6,7,8,5,2] => [2,4,1,1]
[1,3,4,8,7,6,5,2] => [4,1,1,1,1]
[1,3,4,7,8,6,5,2] => [5,1,1,1]
[1,3,4,6,8,7,5,2] => [5,1,1,1]
[1,3,4,7,6,8,5,2] => [4,2,1,1]
[1,3,4,6,7,8,5,2] => [6,1,1]
[1,5,4,3,8,7,6,2] => [2,1,2,1,1,1]
[1,5,4,3,7,8,6,2] => [2,1,3,1,1]
[1,4,5,3,8,7,6,2] => [3,2,1,1,1]
[1,4,5,3,7,8,6,2] => [3,3,1,1]
[1,3,5,4,8,7,6,2] => [3,2,1,1,1]
[1,3,5,4,7,8,6,2] => [3,3,1,1]
[1,4,3,5,8,7,6,2] => [2,3,1,1,1]
[1,4,3,5,7,8,6,2] => [2,4,1,1]
[1,3,4,5,8,7,6,2] => [5,1,1,1]
[1,3,4,5,7,8,6,2] => [6,1,1]
[1,6,5,4,3,8,7,2] => [2,1,1,2,1,1]
[1,5,6,4,3,8,7,2] => [3,1,2,1,1]
[1,4,6,5,3,8,7,2] => [3,1,2,1,1]
[1,5,4,6,3,8,7,2] => [2,2,2,1,1]
[1,4,5,6,3,8,7,2] => [4,2,1,1]
[1,3,6,5,4,8,7,2] => [3,1,2,1,1]
[1,3,5,6,4,8,7,2] => [4,2,1,1]
[1,4,3,6,5,8,7,2] => [2,2,2,1,1]
[1,3,4,6,5,8,7,2] => [4,2,1,1]
[1,5,4,3,6,8,7,2] => [2,1,3,1,1]
[1,4,5,3,6,8,7,2] => [3,3,1,1]
[1,3,5,4,6,8,7,2] => [3,3,1,1]
[1,4,3,5,6,8,7,2] => [2,4,1,1]
[1,3,4,5,6,8,7,2] => [6,1,1]
[1,7,6,5,4,3,8,2] => [2,1,1,1,2,1]
[1,6,7,5,4,3,8,2] => [3,1,1,2,1]
[1,5,7,6,4,3,8,2] => [3,1,1,2,1]
[1,6,5,7,4,3,8,2] => [2,2,1,2,1]
[1,5,6,7,4,3,8,2] => [4,1,2,1]
[1,4,7,6,5,3,8,2] => [3,1,1,2,1]
[1,4,6,7,5,3,8,2] => [4,1,2,1]
[1,5,4,7,6,3,8,2] => [2,2,1,2,1]
[1,4,5,7,6,3,8,2] => [4,1,2,1]
[1,6,5,4,7,3,8,2] => [2,1,2,2,1]
[1,5,6,4,7,3,8,2] => [3,2,2,1]
[1,4,6,5,7,3,8,2] => [3,2,2,1]
[1,5,4,6,7,3,8,2] => [2,3,2,1]
[1,4,5,6,7,3,8,2] => [5,2,1]
[1,3,5,7,6,4,8,2] => [4,1,2,1]
[1,3,6,5,7,4,8,2] => [3,2,2,1]
[1,3,5,6,7,4,8,2] => [5,2,1]
[1,4,3,6,7,5,8,2] => [2,3,2,1]
[1,3,4,7,6,5,8,2] => [4,1,2,1]
[1,3,4,6,7,5,8,2] => [5,2,1]
[1,5,4,3,7,6,8,2] => [2,1,2,2,1]
[1,3,5,4,7,6,8,2] => [3,2,2,1]
[1,4,3,5,7,6,8,2] => [2,3,2,1]
[1,3,4,5,7,6,8,2] => [5,2,1]
[1,6,5,4,3,7,8,2] => [2,1,1,3,1]
[1,4,6,5,3,7,8,2] => [3,1,3,1]
[1,5,4,6,3,7,8,2] => [2,2,3,1]
[1,4,5,6,3,7,8,2] => [4,3,1]
[1,3,5,6,4,7,8,2] => [4,3,1]
[1,4,3,6,5,7,8,2] => [2,2,3,1]
[1,3,4,6,5,7,8,2] => [4,3,1]
[1,5,4,3,6,7,8,2] => [2,1,4,1]
[1,4,5,3,6,7,8,2] => [3,4,1]
[1,3,5,4,6,7,8,2] => [3,4,1]
[1,4,3,5,6,7,8,2] => [2,5,1]
[1,3,4,5,6,7,8,2] => [7,1]
[2,1,8,7,6,5,4,3] => [1,2,1,1,1,1,1]
[2,1,7,8,6,5,4,3] => [1,3,1,1,1,1]
[2,1,6,8,7,5,4,3] => [1,3,1,1,1,1]
[2,1,7,6,8,5,4,3] => [1,2,2,1,1,1]
[2,1,6,7,8,5,4,3] => [1,4,1,1,1]
[2,1,5,8,7,6,4,3] => [1,3,1,1,1,1]
[2,1,5,7,8,6,4,3] => [1,4,1,1,1]
[2,1,6,5,8,7,4,3] => [1,2,2,1,1,1]
[2,1,5,6,8,7,4,3] => [1,4,1,1,1]
[2,1,7,6,5,8,4,3] => [1,2,1,2,1,1]
[2,1,6,7,5,8,4,3] => [1,3,2,1,1]
[2,1,5,7,6,8,4,3] => [1,3,2,1,1]
[2,1,6,5,7,8,4,3] => [1,2,3,1,1]
[2,1,5,6,7,8,4,3] => [1,5,1,1]
[2,1,4,8,7,6,5,3] => [1,3,1,1,1,1]
[2,1,4,7,8,6,5,3] => [1,4,1,1,1]
[2,1,4,6,8,7,5,3] => [1,4,1,1,1]
[2,1,4,7,6,8,5,3] => [1,3,2,1,1]
[2,1,4,6,7,8,5,3] => [1,5,1,1]
[2,1,5,4,8,7,6,3] => [1,2,2,1,1,1]
[2,1,5,4,7,8,6,3] => [1,2,3,1,1]
[2,1,4,5,8,7,6,3] => [1,4,1,1,1]
[2,1,4,5,7,8,6,3] => [1,5,1,1]
[2,1,6,5,4,8,7,3] => [1,2,1,2,1,1]
[2,1,5,6,4,8,7,3] => [1,3,2,1,1]
[2,1,4,6,5,8,7,3] => [1,3,2,1,1]
[2,1,5,4,6,8,7,3] => [1,2,3,1,1]
[2,1,4,5,6,8,7,3] => [1,5,1,1]
[2,1,7,6,5,4,8,3] => [1,2,1,1,2,1]
[2,1,6,7,5,4,8,3] => [1,3,1,2,1]
[2,1,5,7,6,4,8,3] => [1,3,1,2,1]
[2,1,6,5,7,4,8,3] => [1,2,2,2,1]
[2,1,5,6,7,4,8,3] => [1,4,2,1]
[2,1,4,7,6,5,8,3] => [1,3,1,2,1]
[2,1,4,6,7,5,8,3] => [1,4,2,1]
[2,1,5,4,7,6,8,3] => [1,2,2,2,1]
[2,1,4,5,7,6,8,3] => [1,4,2,1]
[2,1,6,5,4,7,8,3] => [1,2,1,3,1]
[2,1,5,6,4,7,8,3] => [1,3,3,1]
[2,1,4,6,5,7,8,3] => [1,3,3,1]
[2,1,5,4,6,7,8,3] => [1,2,4,1]
[2,1,4,5,6,7,8,3] => [1,6,1]
[1,2,8,7,6,5,4,3] => [3,1,1,1,1,1]
[1,2,7,8,6,5,4,3] => [4,1,1,1,1]
[1,2,6,8,7,5,4,3] => [4,1,1,1,1]
[1,2,7,6,8,5,4,3] => [3,2,1,1,1]
[1,2,6,7,8,5,4,3] => [5,1,1,1]
[1,2,5,8,7,6,4,3] => [4,1,1,1,1]
[1,2,5,7,8,6,4,3] => [5,1,1,1]
[1,2,6,5,8,7,4,3] => [3,2,1,1,1]
[1,2,5,6,8,7,4,3] => [5,1,1,1]
[1,2,7,6,5,8,4,3] => [3,1,2,1,1]
[1,2,6,7,5,8,4,3] => [4,2,1,1]
[1,2,5,7,6,8,4,3] => [4,2,1,1]
[1,2,6,5,7,8,4,3] => [3,3,1,1]
[1,2,5,6,7,8,4,3] => [6,1,1]
[1,2,4,8,7,6,5,3] => [4,1,1,1,1]
[1,2,4,7,8,6,5,3] => [5,1,1,1]
[1,2,4,6,8,7,5,3] => [5,1,1,1]
[1,2,4,7,6,8,5,3] => [4,2,1,1]
[1,2,4,6,7,8,5,3] => [6,1,1]
[1,2,5,4,8,7,6,3] => [3,2,1,1,1]
[1,2,4,5,8,7,6,3] => [5,1,1,1]
[1,2,4,5,7,8,6,3] => [6,1,1]
[1,2,6,5,4,8,7,3] => [3,1,2,1,1]
[1,2,5,6,4,8,7,3] => [4,2,1,1]
[1,2,4,6,5,8,7,3] => [4,2,1,1]
[1,2,5,4,6,8,7,3] => [3,3,1,1]
[1,2,4,5,6,8,7,3] => [6,1,1]
[1,2,7,6,5,4,8,3] => [3,1,1,2,1]
[1,2,6,7,5,4,8,3] => [4,1,2,1]
[1,2,5,7,6,4,8,3] => [4,1,2,1]
[1,2,6,5,7,4,8,3] => [3,2,2,1]
[1,2,5,6,7,4,8,3] => [5,2,1]
[1,2,4,7,6,5,8,3] => [4,1,2,1]
[1,2,4,6,7,5,8,3] => [5,2,1]
[1,2,5,4,7,6,8,3] => [3,2,2,1]
[1,2,6,5,4,7,8,3] => [3,1,3,1]
[1,2,5,6,4,7,8,3] => [4,3,1]
[1,2,4,6,5,7,8,3] => [4,3,1]
[1,2,5,4,6,7,8,3] => [3,4,1]
[1,2,4,5,6,7,8,3] => [7,1]
[3,2,1,8,7,6,5,4] => [1,1,2,1,1,1,1]
[3,2,1,7,8,6,5,4] => [1,1,3,1,1,1]
[3,2,1,6,8,7,5,4] => [1,1,3,1,1,1]
[3,2,1,7,6,8,5,4] => [1,1,2,2,1,1]
[3,2,1,6,7,8,5,4] => [1,1,4,1,1]
[3,2,1,5,8,7,6,4] => [1,1,3,1,1,1]
[3,2,1,5,7,8,6,4] => [1,1,4,1,1]
[3,2,1,6,5,8,7,4] => [1,1,2,2,1,1]
[3,2,1,5,6,8,7,4] => [1,1,4,1,1]
[3,2,1,7,6,5,8,4] => [1,1,2,1,2,1]
[3,2,1,6,7,5,8,4] => [1,1,3,2,1]
[3,2,1,5,7,6,8,4] => [1,1,3,2,1]
[3,2,1,6,5,7,8,4] => [1,1,2,3,1]
[3,2,1,5,6,7,8,4] => [1,1,5,1]
[2,3,1,8,7,6,5,4] => [2,2,1,1,1,1]
[2,3,1,7,8,6,5,4] => [2,3,1,1,1]
[2,3,1,6,8,7,5,4] => [2,3,1,1,1]
[2,3,1,7,6,8,5,4] => [2,2,2,1,1]
[2,3,1,6,7,8,5,4] => [2,4,1,1]
[2,3,1,5,8,7,6,4] => [2,3,1,1,1]
[2,3,1,5,7,8,6,4] => [2,4,1,1]
[2,3,1,6,5,8,7,4] => [2,2,2,1,1]
[2,3,1,5,6,8,7,4] => [2,4,1,1]
[2,3,1,7,6,5,8,4] => [2,2,1,2,1]
[2,3,1,6,7,5,8,4] => [2,3,2,1]
[2,3,1,5,7,6,8,4] => [2,3,2,1]
[2,3,1,6,5,7,8,4] => [2,2,3,1]
[2,3,1,5,6,7,8,4] => [2,5,1]
[1,3,2,8,7,6,5,4] => [2,2,1,1,1,1]
[1,3,2,7,8,6,5,4] => [2,3,1,1,1]
[1,3,2,6,8,7,5,4] => [2,3,1,1,1]
[1,3,2,7,6,8,5,4] => [2,2,2,1,1]
[1,3,2,6,7,8,5,4] => [2,4,1,1]
[1,3,2,5,8,7,6,4] => [2,3,1,1,1]
[1,3,2,5,7,8,6,4] => [2,4,1,1]
[1,3,2,6,5,8,7,4] => [2,2,2,1,1]
[1,3,2,5,6,8,7,4] => [2,4,1,1]
[1,3,2,7,6,5,8,4] => [2,2,1,2,1]
[1,3,2,6,7,5,8,4] => [2,3,2,1]
[1,3,2,5,7,6,8,4] => [2,3,2,1]
[1,3,2,6,5,7,8,4] => [2,2,3,1]
[1,3,2,5,6,7,8,4] => [2,5,1]
[2,1,3,8,7,6,5,4] => [1,3,1,1,1,1]
[2,1,3,7,8,6,5,4] => [1,4,1,1,1]
[2,1,3,6,8,7,5,4] => [1,4,1,1,1]
[2,1,3,7,6,8,5,4] => [1,3,2,1,1]
[2,1,3,6,7,8,5,4] => [1,5,1,1]
[2,1,3,5,8,7,6,4] => [1,4,1,1,1]
[2,1,3,5,7,8,6,4] => [1,5,1,1]
[2,1,3,6,5,8,7,4] => [1,3,2,1,1]
[2,1,3,5,6,8,7,4] => [1,5,1,1]
[2,1,3,7,6,5,8,4] => [1,3,1,2,1]
[2,1,3,6,7,5,8,4] => [1,4,2,1]
[2,1,3,5,7,6,8,4] => [1,4,2,1]
[2,1,3,6,5,7,8,4] => [1,3,3,1]
[2,1,3,5,6,7,8,4] => [1,6,1]
[1,2,3,8,7,6,5,4] => [4,1,1,1,1]
[1,2,3,7,8,6,5,4] => [5,1,1,1]
[1,2,3,6,8,7,5,4] => [5,1,1,1]
[1,2,3,7,6,8,5,4] => [4,2,1,1]
[1,2,3,6,7,8,5,4] => [6,1,1]
[1,2,3,5,8,7,6,4] => [5,1,1,1]
[1,2,3,5,7,8,6,4] => [6,1,1]
[1,2,3,6,5,8,7,4] => [4,2,1,1]
[1,2,3,5,6,8,7,4] => [6,1,1]
[1,2,3,7,6,5,8,4] => [4,1,2,1]
[1,2,3,6,7,5,8,4] => [5,2,1]
[1,2,3,5,7,6,8,4] => [5,2,1]
[1,2,3,6,5,7,8,4] => [4,3,1]
[1,2,3,5,6,7,8,4] => [7,1]
[4,3,2,1,8,7,6,5] => [1,1,1,2,1,1,1]
[4,3,2,1,7,8,6,5] => [1,1,1,3,1,1]
[4,3,2,1,6,8,7,5] => [1,1,1,3,1,1]
[4,3,2,1,7,6,8,5] => [1,1,1,2,2,1]
[4,3,2,1,6,7,8,5] => [1,1,1,4,1]
[3,4,2,1,8,7,6,5] => [2,1,2,1,1,1]
[3,4,2,1,7,8,6,5] => [2,1,3,1,1]
[3,4,2,1,6,8,7,5] => [2,1,3,1,1]
[3,4,2,1,7,6,8,5] => [2,1,2,2,1]
[3,4,2,1,6,7,8,5] => [2,1,4,1]
[2,4,3,1,8,7,6,5] => [2,1,2,1,1,1]
[2,4,3,1,7,8,6,5] => [2,1,3,1,1]
[2,4,3,1,6,8,7,5] => [2,1,3,1,1]
[2,4,3,1,7,6,8,5] => [2,1,2,2,1]
[2,4,3,1,6,7,8,5] => [2,1,4,1]
[3,2,4,1,8,7,6,5] => [1,2,2,1,1,1]
[3,2,4,1,7,8,6,5] => [1,2,3,1,1]
[3,2,4,1,6,8,7,5] => [1,2,3,1,1]
[3,2,4,1,7,6,8,5] => [1,2,2,2,1]
[3,2,4,1,6,7,8,5] => [1,2,4,1]
[2,3,4,1,8,7,6,5] => [3,2,1,1,1]
[2,3,4,1,7,8,6,5] => [3,3,1,1]
[2,3,4,1,6,8,7,5] => [3,3,1,1]
[2,3,4,1,7,6,8,5] => [3,2,2,1]
[2,3,4,1,6,7,8,5] => [3,4,1]
[1,4,3,2,8,7,6,5] => [2,1,2,1,1,1]
[1,4,3,2,7,8,6,5] => [2,1,3,1,1]
[1,4,3,2,6,8,7,5] => [2,1,3,1,1]
[1,4,3,2,7,6,8,5] => [2,1,2,2,1]
[1,4,3,2,6,7,8,5] => [2,1,4,1]
[1,3,4,2,8,7,6,5] => [3,2,1,1,1]
[1,3,4,2,7,8,6,5] => [3,3,1,1]
[1,3,4,2,6,8,7,5] => [3,3,1,1]
[1,3,4,2,7,6,8,5] => [3,2,2,1]
[1,3,4,2,6,7,8,5] => [3,4,1]
[2,1,4,3,8,7,6,5] => [1,2,2,1,1,1]
[2,1,4,3,7,8,6,5] => [1,2,3,1,1]
[2,1,4,3,6,8,7,5] => [1,2,3,1,1]
[2,1,4,3,7,6,8,5] => [1,2,2,2,1]
[2,1,4,3,6,7,8,5] => [1,2,4,1]
[1,2,4,3,8,7,6,5] => [3,2,1,1,1]
[1,2,4,3,7,8,6,5] => [3,3,1,1]
[1,2,4,3,6,8,7,5] => [3,3,1,1]
[1,2,4,3,7,6,8,5] => [3,2,2,1]
[1,2,4,3,6,7,8,5] => [3,4,1]
[3,2,1,4,8,7,6,5] => [1,1,3,1,1,1]
[3,2,1,4,7,8,6,5] => [1,1,4,1,1]
[3,2,1,4,6,8,7,5] => [1,1,4,1,1]
[3,2,1,4,7,6,8,5] => [1,1,3,2,1]
[3,2,1,4,6,7,8,5] => [1,1,5,1]
[2,3,1,4,8,7,6,5] => [2,3,1,1,1]
[2,3,1,4,7,8,6,5] => [2,4,1,1]
[2,3,1,4,6,8,7,5] => [2,4,1,1]
[2,3,1,4,7,6,8,5] => [2,3,2,1]
[2,3,1,4,6,7,8,5] => [2,5,1]
[1,3,2,4,8,7,6,5] => [2,3,1,1,1]
[1,3,2,4,7,8,6,5] => [2,4,1,1]
[1,3,2,4,6,8,7,5] => [2,4,1,1]
[1,3,2,4,7,6,8,5] => [2,3,2,1]
[1,3,2,4,6,7,8,5] => [2,5,1]
[2,1,3,4,8,7,6,5] => [1,4,1,1,1]
[2,1,3,4,7,8,6,5] => [1,5,1,1]
[2,1,3,4,6,8,7,5] => [1,5,1,1]
[2,1,3,4,7,6,8,5] => [1,4,2,1]
[2,1,3,4,6,7,8,5] => [1,6,1]
[1,2,3,4,8,7,6,5] => [5,1,1,1]
[1,2,3,4,7,8,6,5] => [6,1,1]
[1,2,3,4,6,8,7,5] => [6,1,1]
[1,2,3,4,7,6,8,5] => [5,2,1]
[1,2,3,4,6,7,8,5] => [7,1]
[5,4,3,2,1,8,7,6] => [1,1,1,1,2,1,1]
[5,4,3,2,1,7,8,6] => [1,1,1,1,3,1]
[4,5,3,2,1,8,7,6] => [2,1,1,2,1,1]
[4,5,3,2,1,7,8,6] => [2,1,1,3,1]
[3,5,4,2,1,8,7,6] => [2,1,1,2,1,1]
[3,5,4,2,1,7,8,6] => [2,1,1,3,1]
[4,3,5,2,1,8,7,6] => [1,2,1,2,1,1]
[4,3,5,2,1,7,8,6] => [1,2,1,3,1]
[3,4,5,2,1,8,7,6] => [3,1,2,1,1]
[3,4,5,2,1,7,8,6] => [3,1,3,1]
[2,5,4,3,1,8,7,6] => [2,1,1,2,1,1]
[2,5,4,3,1,7,8,6] => [2,1,1,3,1]
[2,4,5,3,1,8,7,6] => [3,1,2,1,1]
[2,4,5,3,1,7,8,6] => [3,1,3,1]
[3,2,5,4,1,8,7,6] => [1,2,1,2,1,1]
[3,2,5,4,1,7,8,6] => [1,2,1,3,1]
[2,3,5,4,1,8,7,6] => [3,1,2,1,1]
[2,3,5,4,1,7,8,6] => [3,1,3,1]
[4,3,2,5,1,8,7,6] => [1,1,2,2,1,1]
[4,3,2,5,1,7,8,6] => [1,1,2,3,1]
[3,4,2,5,1,8,7,6] => [2,2,2,1,1]
[3,4,2,5,1,7,8,6] => [2,2,3,1]
[2,4,3,5,1,8,7,6] => [2,2,2,1,1]
[2,4,3,5,1,7,8,6] => [2,2,3,1]
[3,2,4,5,1,8,7,6] => [1,3,2,1,1]
[3,2,4,5,1,7,8,6] => [1,3,3,1]
[2,3,4,5,1,8,7,6] => [4,2,1,1]
[2,3,4,5,1,7,8,6] => [4,3,1]
[1,5,4,3,2,8,7,6] => [2,1,1,2,1,1]
[1,5,4,3,2,7,8,6] => [2,1,1,3,1]
[1,4,5,3,2,8,7,6] => [3,1,2,1,1]
[1,4,5,3,2,7,8,6] => [3,1,3,1]
[1,3,5,4,2,8,7,6] => [3,1,2,1,1]
[1,3,5,4,2,7,8,6] => [3,1,3,1]
[1,4,3,5,2,8,7,6] => [2,2,2,1,1]
[1,4,3,5,2,7,8,6] => [2,2,3,1]
[1,3,4,5,2,8,7,6] => [4,2,1,1]
[1,3,4,5,2,7,8,6] => [4,3,1]
[2,1,5,4,3,8,7,6] => [1,2,1,2,1,1]
[2,1,5,4,3,7,8,6] => [1,2,1,3,1]
[2,1,4,5,3,8,7,6] => [1,3,2,1,1]
[2,1,4,5,3,7,8,6] => [1,3,3,1]
[1,2,5,4,3,8,7,6] => [3,1,2,1,1]
[1,2,5,4,3,7,8,6] => [3,1,3,1]
[1,2,4,5,3,8,7,6] => [4,2,1,1]
[1,2,4,5,3,7,8,6] => [4,3,1]
[3,2,1,5,4,8,7,6] => [1,1,2,2,1,1]
[3,2,1,5,4,7,8,6] => [1,1,2,3,1]
[2,3,1,5,4,7,8,6] => [2,2,3,1]
[1,3,2,5,4,8,7,6] => [2,2,2,1,1]
[1,3,2,5,4,7,8,6] => [2,2,3,1]
[2,1,3,5,4,8,7,6] => [1,3,2,1,1]
[2,1,3,5,4,7,8,6] => [1,3,3,1]
[1,2,3,5,4,8,7,6] => [4,2,1,1]
[1,2,3,5,4,7,8,6] => [4,3,1]
[4,3,2,1,5,8,7,6] => [1,1,1,3,1,1]
[4,3,2,1,5,7,8,6] => [1,1,1,4,1]
[3,4,2,1,5,8,7,6] => [2,1,3,1,1]
[2,4,3,1,5,8,7,6] => [2,1,3,1,1]
[2,4,3,1,5,7,8,6] => [2,1,4,1]
[3,2,4,1,5,8,7,6] => [1,2,3,1,1]
[3,2,4,1,5,7,8,6] => [1,2,4,1]
[2,3,4,1,5,8,7,6] => [3,3,1,1]
[2,3,4,1,5,7,8,6] => [3,4,1]
[1,4,3,2,5,8,7,6] => [2,1,3,1,1]
[1,4,3,2,5,7,8,6] => [2,1,4,1]
[1,3,4,2,5,8,7,6] => [3,3,1,1]
[1,3,4,2,5,7,8,6] => [3,4,1]
[2,1,4,3,5,8,7,6] => [1,2,3,1,1]
[2,1,4,3,5,7,8,6] => [1,2,4,1]
[1,2,4,3,5,8,7,6] => [3,3,1,1]
[1,2,4,3,5,7,8,6] => [3,4,1]
[3,2,1,4,5,8,7,6] => [1,1,4,1,1]
[3,2,1,4,5,7,8,6] => [1,1,5,1]
[2,3,1,4,5,8,7,6] => [2,4,1,1]
[2,3,1,4,5,7,8,6] => [2,5,1]
[1,3,2,4,5,8,7,6] => [2,4,1,1]
[1,3,2,4,5,7,8,6] => [2,5,1]
[2,1,3,4,5,8,7,6] => [1,5,1,1]
[2,1,3,4,5,7,8,6] => [1,6,1]
[1,2,3,4,5,8,7,6] => [6,1,1]
[1,2,3,4,5,7,8,6] => [7,1]
[6,5,4,3,2,1,8,7] => [1,1,1,1,1,2,1]
[5,6,4,3,2,1,8,7] => [2,1,1,1,2,1]
[4,6,5,3,2,1,8,7] => [2,1,1,1,2,1]
[5,4,6,3,2,1,8,7] => [1,2,1,1,2,1]
[4,5,6,3,2,1,8,7] => [3,1,1,2,1]
[3,6,5,4,2,1,8,7] => [2,1,1,1,2,1]
[3,5,6,4,2,1,8,7] => [3,1,1,2,1]
[4,3,6,5,2,1,8,7] => [1,2,1,1,2,1]
[3,4,6,5,2,1,8,7] => [3,1,1,2,1]
[5,4,3,6,2,1,8,7] => [1,1,2,1,2,1]
[4,5,3,6,2,1,8,7] => [2,2,1,2,1]
[3,5,4,6,2,1,8,7] => [2,2,1,2,1]
[4,3,5,6,2,1,8,7] => [1,3,1,2,1]
[3,4,5,6,2,1,8,7] => [4,1,2,1]
[2,6,5,4,3,1,8,7] => [2,1,1,1,2,1]
[2,5,6,4,3,1,8,7] => [3,1,1,2,1]
[2,4,6,5,3,1,8,7] => [3,1,1,2,1]
[2,5,4,6,3,1,8,7] => [2,2,1,2,1]
[2,4,5,6,3,1,8,7] => [4,1,2,1]
[3,2,6,5,4,1,8,7] => [1,2,1,1,2,1]
[3,2,5,6,4,1,8,7] => [1,3,1,2,1]
[2,3,6,5,4,1,8,7] => [3,1,1,2,1]
[2,3,5,6,4,1,8,7] => [4,1,2,1]
[4,3,2,6,5,1,8,7] => [1,1,2,1,2,1]
[3,4,2,6,5,1,8,7] => [2,2,1,2,1]
[2,4,3,6,5,1,8,7] => [2,2,1,2,1]
[3,2,4,6,5,1,8,7] => [1,3,1,2,1]
[2,3,4,6,5,1,8,7] => [4,1,2,1]
[5,4,3,2,6,1,8,7] => [1,1,1,2,2,1]
[4,5,3,2,6,1,8,7] => [2,1,2,2,1]
[3,5,4,2,6,1,8,7] => [2,1,2,2,1]
[4,3,5,2,6,1,8,7] => [1,2,2,2,1]
[3,4,5,2,6,1,8,7] => [3,2,2,1]
[2,5,4,3,6,1,8,7] => [2,1,2,2,1]
[2,4,5,3,6,1,8,7] => [3,2,2,1]
[3,2,5,4,6,1,8,7] => [1,2,2,2,1]
[4,3,2,5,6,1,8,7] => [1,1,3,2,1]
[3,4,2,5,6,1,8,7] => [2,3,2,1]
[2,4,3,5,6,1,8,7] => [2,3,2,1]
[2,3,4,5,6,1,8,7] => [5,2,1]
[1,6,5,4,3,2,8,7] => [2,1,1,1,2,1]
[1,5,6,4,3,2,8,7] => [3,1,1,2,1]
[1,5,4,6,3,2,8,7] => [2,2,1,2,1]
[1,4,5,6,3,2,8,7] => [4,1,2,1]
[1,3,6,5,4,2,8,7] => [3,1,1,2,1]
[1,3,5,6,4,2,8,7] => [4,1,2,1]
[1,3,4,6,5,2,8,7] => [4,1,2,1]
[1,3,4,5,6,2,8,7] => [5,2,1]
[2,1,6,5,4,3,8,7] => [1,2,1,1,2,1]
[2,1,5,6,4,3,8,7] => [1,3,1,2,1]
[2,1,4,6,5,3,8,7] => [1,3,1,2,1]
[2,1,5,4,6,3,8,7] => [1,2,2,2,1]
[2,1,4,5,6,3,8,7] => [1,4,2,1]
[1,2,6,5,4,3,8,7] => [3,1,1,2,1]
[1,2,5,6,4,3,8,7] => [4,1,2,1]
[1,2,4,6,5,3,8,7] => [4,1,2,1]
[1,2,5,4,6,3,8,7] => [3,2,2,1]
[1,2,4,5,6,3,8,7] => [5,2,1]
[3,2,1,6,5,4,8,7] => [1,1,2,1,2,1]
[3,2,1,5,6,4,8,7] => [1,1,3,2,1]
[2,3,1,6,5,4,8,7] => [2,2,1,2,1]
[1,3,2,6,5,4,8,7] => [2,2,1,2,1]
[1,3,2,5,6,4,8,7] => [2,3,2,1]
[2,1,3,5,6,4,8,7] => [1,4,2,1]
[1,2,3,6,5,4,8,7] => [4,1,2,1]
[1,2,3,5,6,4,8,7] => [5,2,1]
[4,3,2,1,6,5,8,7] => [1,1,1,2,2,1]
[3,4,2,1,6,5,8,7] => [2,1,2,2,1]
[2,4,3,1,6,5,8,7] => [2,1,2,2,1]
[3,2,4,1,6,5,8,7] => [1,2,2,2,1]
[2,3,4,1,6,5,8,7] => [3,2,2,1]
[1,4,3,2,6,5,8,7] => [2,1,2,2,1]
[1,3,4,2,6,5,8,7] => [3,2,2,1]
[2,1,4,3,6,5,8,7] => [1,2,2,2,1]
[1,2,4,3,6,5,8,7] => [3,2,2,1]
[3,2,1,4,6,5,8,7] => [1,1,3,2,1]
[2,3,1,4,6,5,8,7] => [2,3,2,1]
[1,3,2,4,6,5,8,7] => [2,3,2,1]
[2,1,3,4,6,5,8,7] => [1,4,2,1]
[1,2,3,4,6,5,8,7] => [5,2,1]
[5,4,3,2,1,6,8,7] => [1,1,1,1,3,1]
[4,5,3,2,1,6,8,7] => [2,1,1,3,1]
[3,5,4,2,1,6,8,7] => [2,1,1,3,1]
[4,3,5,2,1,6,8,7] => [1,2,1,3,1]
[3,4,5,2,1,6,8,7] => [3,1,3,1]
[2,5,4,3,1,6,8,7] => [2,1,1,3,1]
[2,4,5,3,1,6,8,7] => [3,1,3,1]
[3,2,5,4,1,6,8,7] => [1,2,1,3,1]
[2,3,5,4,1,6,8,7] => [3,1,3,1]
[4,3,2,5,1,6,8,7] => [1,1,2,3,1]
[3,4,2,5,1,6,8,7] => [2,2,3,1]
[2,4,3,5,1,6,8,7] => [2,2,3,1]
[3,2,4,5,1,6,8,7] => [1,3,3,1]
[2,3,4,5,1,6,8,7] => [4,3,1]
[1,5,4,3,2,6,8,7] => [2,1,1,3,1]
[1,4,5,3,2,6,8,7] => [3,1,3,1]
[1,3,5,4,2,6,8,7] => [3,1,3,1]
[1,4,3,5,2,6,8,7] => [2,2,3,1]
[1,3,4,5,2,6,8,7] => [4,3,1]
[2,1,5,4,3,6,8,7] => [1,2,1,3,1]
[2,1,4,5,3,6,8,7] => [1,3,3,1]
[1,2,5,4,3,6,8,7] => [3,1,3,1]
[1,2,4,5,3,6,8,7] => [4,3,1]
[3,2,1,5,4,6,8,7] => [1,1,2,3,1]
[1,3,2,5,4,6,8,7] => [2,2,3,1]
[2,1,3,5,4,6,8,7] => [1,3,3,1]
[1,2,3,5,4,6,8,7] => [4,3,1]
[4,3,2,1,5,6,8,7] => [1,1,1,4,1]
[3,4,2,1,5,6,8,7] => [2,1,4,1]
[2,4,3,1,5,6,8,7] => [2,1,4,1]
[3,2,4,1,5,6,8,7] => [1,2,4,1]
[2,3,4,1,5,6,8,7] => [3,4,1]
[1,4,3,2,5,6,8,7] => [2,1,4,1]
[1,3,4,2,5,6,8,7] => [3,4,1]
[2,1,4,3,5,6,8,7] => [1,2,4,1]
[1,2,4,3,5,6,8,7] => [3,4,1]
[3,2,1,4,5,6,8,7] => [1,1,5,1]
[2,3,1,4,5,6,8,7] => [2,5,1]
[1,3,2,4,5,6,8,7] => [2,5,1]
[2,1,3,4,5,6,8,7] => [1,6,1]
[1,2,3,4,5,6,8,7] => [7,1]
[5,7,6,4,3,2,1,8] => [2,1,1,1,1,2]
[4,7,6,5,3,2,1,8] => [2,1,1,1,1,2]
[4,6,7,5,3,2,1,8] => [3,1,1,1,2]
[5,4,7,6,3,2,1,8] => [1,2,1,1,1,2]
[4,5,7,6,3,2,1,8] => [3,1,1,1,2]
[4,6,5,7,3,2,1,8] => [2,2,1,1,2]
[3,7,6,5,4,2,1,8] => [2,1,1,1,1,2]
[3,5,7,6,4,2,1,8] => [3,1,1,1,2]
[3,5,6,7,4,2,1,8] => [4,1,1,2]
[4,3,7,6,5,2,1,8] => [1,2,1,1,1,2]
[3,4,7,6,5,2,1,8] => [3,1,1,1,2]
[5,4,3,7,6,2,1,8] => [1,1,2,1,1,2]
[4,5,3,7,6,2,1,8] => [2,2,1,1,2]
[3,5,4,7,6,2,1,8] => [2,2,1,1,2]
[4,3,5,7,6,2,1,8] => [1,3,1,1,2]
[4,6,5,3,7,2,1,8] => [2,1,2,1,2]
[3,6,5,4,7,2,1,8] => [2,1,2,1,2]
[3,5,6,4,7,2,1,8] => [3,2,1,2]
[4,3,6,5,7,2,1,8] => [1,2,2,1,2]
[2,7,6,5,4,3,1,8] => [2,1,1,1,1,2]
[2,6,7,5,4,3,1,8] => [3,1,1,1,2]
[2,5,7,6,4,3,1,8] => [3,1,1,1,2]
[2,6,5,7,4,3,1,8] => [2,2,1,1,2]
[2,5,6,7,4,3,1,8] => [4,1,1,2]
[2,4,7,6,5,3,1,8] => [3,1,1,1,2]
[2,4,6,7,5,3,1,8] => [4,1,1,2]
[2,5,4,7,6,3,1,8] => [2,2,1,1,2]
[2,4,5,7,6,3,1,8] => [4,1,1,2]
[2,5,6,4,7,3,1,8] => [3,2,1,2]
[2,5,4,6,7,3,1,8] => [2,3,1,2]
[2,4,5,6,7,3,1,8] => [5,1,2]
[3,2,7,6,5,4,1,8] => [1,2,1,1,1,2]
[3,2,6,7,5,4,1,8] => [1,3,1,1,2]
[3,2,5,7,6,4,1,8] => [1,3,1,1,2]
[3,2,6,5,7,4,1,8] => [1,2,2,1,2]
[3,2,5,6,7,4,1,8] => [1,4,1,2]
[2,3,7,6,5,4,1,8] => [3,1,1,1,2]
[2,3,6,7,5,4,1,8] => [4,1,1,2]
[2,3,5,7,6,4,1,8] => [4,1,1,2]
[2,3,6,5,7,4,1,8] => [3,2,1,2]
[2,3,5,6,7,4,1,8] => [5,1,2]
[4,3,2,7,6,5,1,8] => [1,1,2,1,1,2]
[4,3,2,6,7,5,1,8] => [1,1,3,1,2]
[3,4,2,7,6,5,1,8] => [2,2,1,1,2]
[3,4,2,6,7,5,1,8] => [2,3,1,2]
[2,4,3,7,6,5,1,8] => [2,2,1,1,2]
[3,2,4,7,6,5,1,8] => [1,3,1,1,2]
[3,2,4,6,7,5,1,8] => [1,4,1,2]
[2,3,4,7,6,5,1,8] => [4,1,1,2]
[2,3,4,6,7,5,1,8] => [5,1,2]
[5,4,3,2,7,6,1,8] => [1,1,1,2,1,2]
[4,5,3,2,7,6,1,8] => [2,1,2,1,2]
[3,5,4,2,7,6,1,8] => [2,1,2,1,2]
[4,3,5,2,7,6,1,8] => [1,2,2,1,2]
[3,4,5,2,7,6,1,8] => [3,2,1,2]
[2,5,4,3,7,6,1,8] => [2,1,2,1,2]
[3,2,5,4,7,6,1,8] => [1,2,2,1,2]
[2,3,5,4,7,6,1,8] => [3,2,1,2]
[4,3,2,5,7,6,1,8] => [1,1,3,1,2]
[3,4,2,5,7,6,1,8] => [2,3,1,2]
[2,4,3,5,7,6,1,8] => [2,3,1,2]
[3,2,4,5,7,6,1,8] => [1,4,1,2]
[2,3,4,5,7,6,1,8] => [5,1,2]
[3,6,5,4,2,7,1,8] => [2,1,1,2,2]
[3,5,6,4,2,7,1,8] => [3,1,2,2]
[4,3,6,5,2,7,1,8] => [1,2,1,2,2]
[3,4,6,5,2,7,1,8] => [3,1,2,2]
[3,5,4,6,2,7,1,8] => [2,2,2,2]
[2,6,5,4,3,7,1,8] => [2,1,1,2,2]
[2,4,6,5,3,7,1,8] => [3,1,2,2]
[2,5,4,6,3,7,1,8] => [2,2,2,2]
[2,4,5,6,3,7,1,8] => [4,2,2]
[3,2,6,5,4,7,1,8] => [1,2,1,2,2]
[2,3,5,6,4,7,1,8] => [4,2,2]
[4,3,2,6,5,7,1,8] => [1,1,2,2,2]
[3,4,2,6,5,7,1,8] => [2,2,2,2]
[2,4,3,6,5,7,1,8] => [2,2,2,2]
[3,2,4,6,5,7,1,8] => [1,3,2,2]
[2,3,4,6,5,7,1,8] => [4,2,2]
[3,5,4,2,6,7,1,8] => [2,1,3,2]
[2,5,4,3,6,7,1,8] => [2,1,3,2]
[2,4,5,3,6,7,1,8] => [3,3,2]
[3,2,5,4,6,7,1,8] => [1,2,3,2]
[2,3,5,4,6,7,1,8] => [3,3,2]
[2,4,3,5,6,7,1,8] => [2,4,2]
[1,7,6,5,4,3,2,8] => [2,1,1,1,1,2]
[1,6,7,5,4,3,2,8] => [3,1,1,1,2]
[1,5,7,6,4,3,2,8] => [3,1,1,1,2]
[1,6,5,7,4,3,2,8] => [2,2,1,1,2]
[1,5,6,7,4,3,2,8] => [4,1,1,2]
[1,4,7,6,5,3,2,8] => [3,1,1,1,2]
[1,4,6,7,5,3,2,8] => [4,1,1,2]
[1,5,4,7,6,3,2,8] => [2,2,1,1,2]
[1,4,5,7,6,3,2,8] => [4,1,1,2]
[1,5,6,4,7,3,2,8] => [3,2,1,2]
[1,4,6,5,7,3,2,8] => [3,2,1,2]
[1,5,4,6,7,3,2,8] => [2,3,1,2]
[1,4,5,6,7,3,2,8] => [5,1,2]
[1,3,7,6,5,4,2,8] => [3,1,1,1,2]
[1,3,6,7,5,4,2,8] => [4,1,1,2]
[1,3,5,7,6,4,2,8] => [4,1,1,2]
[1,3,6,5,7,4,2,8] => [3,2,1,2]
[1,3,5,6,7,4,2,8] => [5,1,2]
[1,4,3,7,6,5,2,8] => [2,2,1,1,2]
[1,3,4,6,7,5,2,8] => [5,1,2]
[1,4,5,3,7,6,2,8] => [3,2,1,2]
[1,3,5,4,7,6,2,8] => [3,2,1,2]
[1,4,3,5,7,6,2,8] => [2,3,1,2]
[1,3,4,5,7,6,2,8] => [5,1,2]
[1,6,5,4,3,7,2,8] => [2,1,1,2,2]
[1,5,6,4,3,7,2,8] => [3,1,2,2]
[1,4,6,5,3,7,2,8] => [3,1,2,2]
[1,5,4,6,3,7,2,8] => [2,2,2,2]
[1,4,5,6,3,7,2,8] => [4,2,2]
[1,3,6,5,4,7,2,8] => [3,1,2,2]
[1,3,5,6,4,7,2,8] => [4,2,2]
[1,4,3,6,5,7,2,8] => [2,2,2,2]
[1,3,4,6,5,7,2,8] => [4,2,2]
[1,5,4,3,6,7,2,8] => [2,1,3,2]
[1,4,5,3,6,7,2,8] => [3,3,2]
[1,3,5,4,6,7,2,8] => [3,3,2]
[1,3,4,5,6,7,2,8] => [6,2]
[2,1,7,6,5,4,3,8] => [1,2,1,1,1,2]
[2,1,6,7,5,4,3,8] => [1,3,1,1,2]
[2,1,5,6,7,4,3,8] => [1,4,1,2]
[2,1,4,7,6,5,3,8] => [1,3,1,1,2]
[2,1,4,6,7,5,3,8] => [1,4,1,2]
[2,1,5,4,7,6,3,8] => [1,2,2,1,2]
[2,1,4,5,7,6,3,8] => [1,4,1,2]
[2,1,5,4,6,7,3,8] => [1,2,3,2]
[2,1,4,5,6,7,3,8] => [1,5,2]
[1,2,7,6,5,4,3,8] => [3,1,1,1,2]
[1,2,6,7,5,4,3,8] => [4,1,1,2]
[1,2,5,7,6,4,3,8] => [4,1,1,2]
[1,2,5,6,7,4,3,8] => [5,1,2]
[1,2,4,7,6,5,3,8] => [4,1,1,2]
[1,2,4,6,7,5,3,8] => [5,1,2]
[1,2,5,4,7,6,3,8] => [3,2,1,2]
[1,2,4,5,7,6,3,8] => [5,1,2]
[1,2,5,6,4,7,3,8] => [4,2,2]
[1,2,4,6,5,7,3,8] => [4,2,2]
[1,2,5,4,6,7,3,8] => [3,3,2]
[1,2,4,5,6,7,3,8] => [6,2]
[3,2,1,7,6,5,4,8] => [1,1,2,1,1,2]
[3,2,1,6,7,5,4,8] => [1,1,3,1,2]
[3,2,1,5,7,6,4,8] => [1,1,3,1,2]
[3,2,1,6,5,7,4,8] => [1,1,2,2,2]
[3,2,1,5,6,7,4,8] => [1,1,4,2]
[2,3,1,7,6,5,4,8] => [2,2,1,1,2]
[2,3,1,6,7,5,4,8] => [2,3,1,2]
[2,3,1,6,5,7,4,8] => [2,2,2,2]
[2,3,1,5,6,7,4,8] => [2,4,2]
[1,3,2,7,6,5,4,8] => [2,2,1,1,2]
[1,3,2,6,7,5,4,8] => [2,3,1,2]
[1,3,2,5,7,6,4,8] => [2,3,1,2]
[1,3,2,6,5,7,4,8] => [2,2,2,2]
[1,3,2,5,6,7,4,8] => [2,4,2]
[2,1,3,7,6,5,4,8] => [1,3,1,1,2]
[2,1,3,6,7,5,4,8] => [1,4,1,2]
[2,1,3,6,5,7,4,8] => [1,3,2,2]
[1,2,3,7,6,5,4,8] => [4,1,1,2]
[1,2,3,6,7,5,4,8] => [5,1,2]
[1,2,3,5,7,6,4,8] => [5,1,2]
[1,2,3,6,5,7,4,8] => [4,2,2]
[1,2,3,5,6,7,4,8] => [6,2]
[4,3,2,1,7,6,5,8] => [1,1,1,2,1,2]
[4,3,2,1,6,7,5,8] => [1,1,1,3,2]
[3,2,4,1,7,6,5,8] => [1,2,2,1,2]
[3,2,4,1,6,7,5,8] => [1,2,3,2]
[2,3,4,1,7,6,5,8] => [3,2,1,2]
[2,3,4,1,6,7,5,8] => [3,3,2]
[1,4,3,2,7,6,5,8] => [2,1,2,1,2]
[1,4,3,2,6,7,5,8] => [2,1,3,2]
[1,3,4,2,7,6,5,8] => [3,2,1,2]
[1,3,4,2,6,7,5,8] => [3,3,2]
[1,2,4,3,7,6,5,8] => [3,2,1,2]
[1,2,4,3,6,7,5,8] => [3,3,2]
[3,2,1,4,7,6,5,8] => [1,1,3,1,2]
[3,2,1,4,6,7,5,8] => [1,1,4,2]
[2,3,1,4,6,7,5,8] => [2,4,2]
[1,3,2,4,7,6,5,8] => [2,3,1,2]
[2,1,3,4,6,7,5,8] => [1,5,2]
[1,2,3,4,7,6,5,8] => [5,1,2]
[1,2,3,4,6,7,5,8] => [6,2]
[5,4,3,2,1,7,6,8] => [1,1,1,1,2,2]
[4,5,3,2,1,7,6,8] => [2,1,1,2,2]
[3,5,4,2,1,7,6,8] => [2,1,1,2,2]
[4,3,5,2,1,7,6,8] => [1,2,1,2,2]
[3,4,5,2,1,7,6,8] => [3,1,2,2]
[2,5,4,3,1,7,6,8] => [2,1,1,2,2]
[2,4,5,3,1,7,6,8] => [3,1,2,2]
[3,2,5,4,1,7,6,8] => [1,2,1,2,2]
[2,3,5,4,1,7,6,8] => [3,1,2,2]
[4,3,2,5,1,7,6,8] => [1,1,2,2,2]
[3,4,2,5,1,7,6,8] => [2,2,2,2]
[2,4,3,5,1,7,6,8] => [2,2,2,2]
[3,2,4,5,1,7,6,8] => [1,3,2,2]
[2,3,4,5,1,7,6,8] => [4,2,2]
[1,5,4,3,2,7,6,8] => [2,1,1,2,2]
[1,4,5,3,2,7,6,8] => [3,1,2,2]
[1,3,5,4,2,7,6,8] => [3,1,2,2]
[1,4,3,5,2,7,6,8] => [2,2,2,2]
[1,3,4,5,2,7,6,8] => [4,2,2]
[2,1,5,4,3,7,6,8] => [1,2,1,2,2]
[1,2,5,4,3,7,6,8] => [3,1,2,2]
[1,2,4,5,3,7,6,8] => [4,2,2]
[3,2,1,5,4,7,6,8] => [1,1,2,2,2]
[2,3,1,5,4,7,6,8] => [2,2,2,2]
[1,3,2,5,4,7,6,8] => [2,2,2,2]
[2,1,3,5,4,7,6,8] => [1,3,2,2]
[1,2,3,5,4,7,6,8] => [4,2,2]
[4,3,2,1,5,7,6,8] => [1,1,1,3,2]
[3,4,2,1,5,7,6,8] => [2,1,3,2]
[2,4,3,1,5,7,6,8] => [2,1,3,2]
[3,2,4,1,5,7,6,8] => [1,2,3,2]
[2,3,4,1,5,7,6,8] => [3,3,2]
[1,4,3,2,5,7,6,8] => [2,1,3,2]
[1,3,4,2,5,7,6,8] => [3,3,2]
[1,2,4,3,5,7,6,8] => [3,3,2]
[3,2,1,4,5,7,6,8] => [1,1,4,2]
[2,3,1,4,5,7,6,8] => [2,4,2]
[1,3,2,4,5,7,6,8] => [2,4,2]
[2,1,3,4,5,7,6,8] => [1,5,2]
[1,2,3,4,5,7,6,8] => [6,2]
[3,6,5,4,2,1,7,8] => [2,1,1,1,3]
[3,5,6,4,2,1,7,8] => [3,1,1,3]
[4,3,6,5,2,1,7,8] => [1,2,1,1,3]
[3,5,4,6,2,1,7,8] => [2,2,1,3]
[2,4,6,5,3,1,7,8] => [3,1,1,3]
[2,5,4,6,3,1,7,8] => [2,2,1,3]
[2,4,5,6,3,1,7,8] => [4,1,3]
[2,3,6,5,4,1,7,8] => [3,1,1,3]
[2,3,5,6,4,1,7,8] => [4,1,3]
[4,3,2,6,5,1,7,8] => [1,1,2,1,3]
[3,4,2,6,5,1,7,8] => [2,2,1,3]
[2,4,3,6,5,1,7,8] => [2,2,1,3]
[2,3,4,6,5,1,7,8] => [4,1,3]
[3,5,4,2,6,1,7,8] => [2,1,2,3]
[2,5,4,3,6,1,7,8] => [2,1,2,3]
[3,2,5,4,6,1,7,8] => [1,2,2,3]
[2,3,5,4,6,1,7,8] => [3,2,3]
[2,4,3,5,6,1,7,8] => [2,3,3]
[1,6,5,4,3,2,7,8] => [2,1,1,1,3]
[1,5,6,4,3,2,7,8] => [3,1,1,3]
[1,4,6,5,3,2,7,8] => [3,1,1,3]
[1,5,4,6,3,2,7,8] => [2,2,1,3]
[1,4,5,6,3,2,7,8] => [4,1,3]
[1,3,6,5,4,2,7,8] => [3,1,1,3]
[1,3,5,6,4,2,7,8] => [4,1,3]
[1,4,3,6,5,2,7,8] => [2,2,1,3]
[1,3,4,6,5,2,7,8] => [4,1,3]
[1,5,4,3,6,2,7,8] => [2,1,2,3]
[1,4,5,3,6,2,7,8] => [3,2,3]
[1,3,5,4,6,2,7,8] => [3,2,3]
[1,4,3,5,6,2,7,8] => [2,3,3]
[1,3,4,5,6,2,7,8] => [5,3]
[2,1,5,6,4,3,7,8] => [1,3,1,3]
[2,1,4,6,5,3,7,8] => [1,3,1,3]
[2,1,5,4,6,3,7,8] => [1,2,2,3]
[2,1,4,5,6,3,7,8] => [1,4,3]
[1,2,6,5,4,3,7,8] => [3,1,1,3]
[1,2,5,6,4,3,7,8] => [4,1,3]
[1,2,4,6,5,3,7,8] => [4,1,3]
[1,2,5,4,6,3,7,8] => [3,2,3]
[1,2,4,5,6,3,7,8] => [5,3]
[3,2,1,6,5,4,7,8] => [1,1,2,1,3]
[3,2,1,5,6,4,7,8] => [1,1,3,3]
[2,3,1,6,5,4,7,8] => [2,2,1,3]
[2,3,1,5,6,4,7,8] => [2,3,3]
[1,3,2,6,5,4,7,8] => [2,2,1,3]
[1,3,2,5,6,4,7,8] => [2,3,3]
[2,1,3,6,5,4,7,8] => [1,3,1,3]
[2,1,3,5,6,4,7,8] => [1,4,3]
[1,2,3,6,5,4,7,8] => [4,1,3]
[1,2,3,5,6,4,7,8] => [5,3]
[4,3,2,1,6,5,7,8] => [1,1,1,2,3]
[3,4,2,1,6,5,7,8] => [2,1,2,3]
[2,4,3,1,6,5,7,8] => [2,1,2,3]
[3,2,4,1,6,5,7,8] => [1,2,2,3]
[2,3,4,1,6,5,7,8] => [3,2,3]
[1,4,3,2,6,5,7,8] => [2,1,2,3]
[2,1,4,3,6,5,7,8] => [1,2,2,3]
[1,2,4,3,6,5,7,8] => [3,2,3]
[3,2,1,4,6,5,7,8] => [1,1,3,3]
[2,3,1,4,6,5,7,8] => [2,3,3]
[1,3,2,4,6,5,7,8] => [2,3,3]
[2,1,3,4,6,5,7,8] => [1,4,3]
[1,2,3,4,6,5,7,8] => [5,3]
[3,5,4,2,1,6,7,8] => [2,1,1,4]
[2,5,4,3,1,6,7,8] => [2,1,1,4]
[2,4,5,3,1,6,7,8] => [3,1,4]
[3,2,5,4,1,6,7,8] => [1,2,1,4]
[2,3,5,4,1,6,7,8] => [3,1,4]
[2,4,3,5,1,6,7,8] => [2,2,4]
[1,5,4,3,2,6,7,8] => [2,1,1,4]
[1,4,5,3,2,6,7,8] => [3,1,4]
[1,3,5,4,2,6,7,8] => [3,1,4]
[1,3,4,5,2,6,7,8] => [4,4]
[2,1,5,4,3,6,7,8] => [1,2,1,4]
[2,1,4,5,3,6,7,8] => [1,3,4]
[1,2,5,4,3,6,7,8] => [3,1,4]
[1,2,4,5,3,6,7,8] => [4,4]
[3,2,1,5,4,6,7,8] => [1,1,2,4]
[2,3,1,5,4,6,7,8] => [2,2,4]
[1,3,2,5,4,6,7,8] => [2,2,4]
[2,1,3,5,4,6,7,8] => [1,3,4]
[1,2,3,5,4,6,7,8] => [4,4]
[2,4,3,1,5,6,7,8] => [2,1,5]
[1,4,3,2,5,6,7,8] => [2,1,5]
[1,3,4,2,5,6,7,8] => [3,5]
[2,1,4,3,5,6,7,8] => [1,2,5]
[1,2,4,3,5,6,7,8] => [3,5]
[1,3,2,4,5,6,7,8] => [2,6]
[1,2,3,4,8,6,7,5] => [5,2,1]
[1,2,3,5,8,6,7,4] => [5,2,1]
[1,2,3,7,5,6,4,8] => [4,2,2]
[1,2,3,7,5,6,8,4] => [4,3,1]
[1,2,3,8,5,6,7,4] => [4,3,1]
[1,2,3,8,5,7,6,4] => [4,2,1,1]
[1,2,3,8,6,5,7,4] => [4,1,2,1]
[1,2,3,8,6,7,5,4] => [4,2,1,1]
[1,2,4,3,8,6,7,5] => [3,2,2,1]
[1,2,4,5,8,6,7,3] => [5,2,1]
[1,2,4,7,5,6,8,3] => [4,3,1]
[1,2,4,8,5,6,7,3] => [4,3,1]
[1,2,4,8,5,7,6,3] => [4,2,1,1]
[1,2,4,8,6,5,7,3] => [4,1,2,1]
[1,2,4,8,6,7,5,3] => [4,2,1,1]
[1,2,5,4,8,6,7,3] => [3,2,2,1]
[1,2,6,4,5,3,7,8] => [3,2,3]
[1,2,6,4,5,7,8,3] => [3,4,1]
[1,2,6,4,5,8,7,3] => [3,3,1,1]
[1,2,7,4,5,6,3,8] => [3,3,2]
[1,2,7,4,5,6,8,3] => [3,4,1]
[1,2,8,4,5,6,7,3] => [3,4,1]
[1,2,8,4,5,7,6,3] => [3,3,1,1]
[1,2,7,4,6,5,3,8] => [3,2,1,2]
[1,2,7,4,6,5,8,3] => [3,2,2,1]
[1,2,8,4,6,7,5,3] => [3,3,1,1]
[1,2,8,4,7,6,5,3] => [3,2,1,1,1]
[1,2,7,5,4,6,3,8] => [3,1,2,2]
[1,2,7,5,4,6,8,3] => [3,1,3,1]
[1,2,8,5,4,6,7,3] => [3,1,3,1]
[1,2,8,5,4,7,6,3] => [3,1,2,1,1]
[1,2,7,5,6,4,3,8] => [3,2,1,2]
[1,2,7,5,6,4,8,3] => [3,2,2,1]
[1,2,8,5,6,4,7,3] => [3,2,2,1]
[1,2,8,5,6,7,4,3] => [3,3,1,1]
[1,2,8,5,7,6,4,3] => [3,2,1,1,1]
[1,2,8,6,5,4,7,3] => [3,1,1,2,1]
[1,2,8,6,5,7,4,3] => [3,1,2,1,1]
[1,2,8,7,5,6,4,3] => [3,1,2,1,1]
[1,3,2,4,8,6,7,5] => [2,3,2,1]
[1,3,2,5,8,6,7,4] => [2,3,2,1]
[1,3,2,7,5,6,4,8] => [2,2,2,2]
[1,3,2,7,5,6,8,4] => [2,2,3,1]
[1,3,2,8,5,6,7,4] => [2,2,3,1]
[1,3,2,8,5,7,6,4] => [2,2,2,1,1]
[1,3,2,8,6,5,7,4] => [2,2,1,2,1]
[1,3,2,8,6,7,5,4] => [2,2,2,1,1]
[1,3,4,2,8,6,7,5] => [3,2,2,1]
[1,3,4,5,8,6,7,2] => [5,2,1]
[1,3,4,7,5,6,8,2] => [4,3,1]
[1,3,4,8,5,6,7,2] => [4,3,1]
[1,3,4,8,6,5,7,2] => [4,1,2,1]
[1,3,4,8,6,7,5,2] => [4,2,1,1]
[1,3,6,4,5,2,8,7] => [3,2,2,1]
[1,3,6,4,5,7,2,8] => [3,3,2]
[1,3,6,4,5,7,8,2] => [3,4,1]
[1,3,6,4,5,8,7,2] => [3,3,1,1]
[1,3,7,4,5,6,2,8] => [3,3,2]
[1,3,7,4,5,6,8,2] => [3,4,1]
[1,3,8,4,5,6,7,2] => [3,4,1]
[1,3,7,4,6,5,2,8] => [3,2,1,2]
[1,3,8,4,6,5,7,2] => [3,2,2,1]
[1,3,8,4,6,7,5,2] => [3,3,1,1]
[1,3,8,4,7,6,5,2] => [3,2,1,1,1]
[1,3,7,5,4,6,8,2] => [3,1,3,1]
[1,3,8,5,4,6,7,2] => [3,1,3,1]
[1,3,8,5,4,7,6,2] => [3,1,2,1,1]
[1,3,7,5,6,4,2,8] => [3,2,1,2]
[1,3,8,5,6,4,7,2] => [3,2,2,1]
[1,3,8,5,6,7,4,2] => [3,3,1,1]
[1,3,8,5,7,6,4,2] => [3,2,1,1,1]
[1,3,8,6,5,7,4,2] => [3,1,2,1,1]
[1,3,8,7,5,6,4,2] => [3,1,2,1,1]
[1,4,3,2,8,6,7,5] => [2,1,2,2,1]
[1,4,3,5,8,6,7,2] => [2,3,2,1]
[1,4,3,7,5,6,2,8] => [2,2,2,2]
[1,4,3,8,5,6,7,2] => [2,2,3,1]
[1,4,3,8,5,7,6,2] => [2,2,2,1,1]
[1,4,3,8,6,5,7,2] => [2,2,1,2,1]
[1,4,3,8,6,7,5,2] => [2,2,2,1,1]
[1,5,3,4,2,6,7,8] => [2,2,4]
[1,5,3,4,2,7,6,8] => [2,2,2,2]
[1,5,3,4,2,7,8,6] => [2,2,3,1]
[1,5,3,4,2,8,7,6] => [2,2,2,1,1]
[1,5,3,4,6,2,7,8] => [2,3,3]
[1,5,3,4,6,2,8,7] => [2,3,2,1]
[1,5,3,4,6,7,2,8] => [2,4,2]
[1,5,3,4,6,7,8,2] => [2,5,1]
[1,5,3,4,7,6,2,8] => [2,3,1,2]
[1,5,3,4,7,6,8,2] => [2,3,2,1]
[1,5,3,4,8,6,7,2] => [2,3,2,1]
[1,5,3,4,8,7,6,2] => [2,3,1,1,1]
[1,6,3,4,5,2,7,8] => [2,3,3]
[1,6,3,4,5,7,2,8] => [2,4,2]
[1,6,3,4,5,7,8,2] => [2,5,1]
[1,6,3,4,5,8,7,2] => [2,4,1,1]
[1,7,3,4,5,6,2,8] => [2,4,2]
[1,7,3,4,5,6,8,2] => [2,5,1]
[1,8,3,4,5,6,7,2] => [2,5,1]
[1,8,3,4,5,7,6,2] => [2,4,1,1]
[1,7,3,4,6,5,2,8] => [2,3,1,2]
[1,7,3,4,6,5,8,2] => [2,3,2,1]
[1,8,3,4,6,5,7,2] => [2,3,2,1]
[1,8,3,4,6,7,5,2] => [2,4,1,1]
[1,8,3,4,7,6,5,2] => [2,3,1,1,1]
[1,6,3,5,4,2,7,8] => [2,2,1,3]
[1,6,3,5,4,7,2,8] => [2,2,2,2]
[1,6,3,5,4,7,8,2] => [2,2,3,1]
[1,6,3,5,4,8,7,2] => [2,2,2,1,1]
[1,7,3,5,4,6,2,8] => [2,2,2,2]
[1,8,3,5,4,6,7,2] => [2,2,3,1]
[1,8,3,5,4,7,6,2] => [2,2,2,1,1]
[1,7,3,5,6,4,8,2] => [2,3,2,1]
[1,8,3,5,6,4,7,2] => [2,3,2,1]
[1,8,3,5,6,7,4,2] => [2,4,1,1]
[1,8,3,5,7,6,4,2] => [2,3,1,1,1]
[1,7,3,6,5,4,2,8] => [2,2,1,1,2]
[1,7,3,6,5,4,8,2] => [2,2,1,2,1]
[1,8,3,6,5,4,7,2] => [2,2,1,2,1]
[1,8,3,6,5,7,4,2] => [2,2,2,1,1]
[1,8,3,7,5,6,4,2] => [2,2,2,1,1]
[1,8,3,7,6,5,4,2] => [2,2,1,1,1,1]
[1,6,4,3,5,2,7,8] => [2,1,2,3]
[1,6,4,3,5,8,7,2] => [2,1,3,1,1]
[1,8,4,3,5,6,7,2] => [2,1,4,1]
[1,8,4,3,5,7,6,2] => [2,1,3,1,1]
[1,7,4,3,6,5,2,8] => [2,1,2,1,2]
[1,7,4,3,6,5,8,2] => [2,1,2,2,1]
[1,8,4,3,6,5,7,2] => [2,1,2,2,1]
[1,8,4,3,6,7,5,2] => [2,1,3,1,1]
[1,6,4,5,3,2,7,8] => [2,2,1,3]
[1,6,4,5,3,2,8,7] => [2,2,1,2,1]
[1,6,4,5,3,8,7,2] => [2,2,2,1,1]
[1,7,4,5,3,6,8,2] => [2,2,3,1]
[1,8,4,5,3,6,7,2] => [2,2,3,1]
[1,8,4,5,3,7,6,2] => [2,2,2,1,1]
[1,7,4,5,6,3,2,8] => [2,3,1,2]
[1,7,4,5,6,3,8,2] => [2,3,2,1]
[1,8,4,5,6,3,7,2] => [2,3,2,1]
[1,8,4,5,6,7,3,2] => [2,4,1,1]
[1,8,4,5,7,6,3,2] => [2,3,1,1,1]
[1,7,4,6,5,3,2,8] => [2,2,1,1,2]
[1,7,4,6,5,3,8,2] => [2,2,1,2,1]
[1,8,4,6,5,3,7,2] => [2,2,1,2,1]
[1,8,4,6,5,7,3,2] => [2,2,2,1,1]
[1,8,4,7,5,6,3,2] => [2,2,2,1,1]
[1,8,4,7,6,5,3,2] => [2,2,1,1,1,1]
[1,7,5,4,3,6,2,8] => [2,1,1,2,2]
[1,7,5,4,3,6,8,2] => [2,1,1,3,1]
[1,8,5,4,3,6,7,2] => [2,1,1,3,1]
[1,8,5,4,3,7,6,2] => [2,1,1,2,1,1]
[1,7,5,4,6,3,8,2] => [2,1,2,2,1]
[1,8,5,4,6,3,7,2] => [2,1,2,2,1]
[1,8,5,4,6,7,3,2] => [2,1,3,1,1]
[1,8,5,4,7,6,3,2] => [2,1,2,1,1,1]
[1,7,6,4,5,3,2,8] => [2,1,2,1,2]
[1,7,6,4,5,3,8,2] => [2,1,2,2,1]
[1,8,6,4,5,3,7,2] => [2,1,2,2,1]
[1,8,6,4,5,7,3,2] => [2,1,3,1,1]
[1,8,7,4,5,6,3,2] => [2,1,3,1,1]
[1,8,7,4,6,5,3,2] => [2,1,2,1,1,1]
[1,8,6,5,4,3,7,2] => [2,1,1,1,2,1]
[1,8,6,5,4,7,3,2] => [2,1,1,2,1,1]
[1,8,7,5,4,6,3,2] => [2,1,1,2,1,1]
[1,8,7,5,6,4,3,2] => [2,1,2,1,1,1]
[2,1,3,4,8,6,7,5] => [1,4,2,1]
[2,1,3,5,8,6,7,4] => [1,4,2,1]
[2,1,3,7,5,6,8,4] => [1,3,3,1]
[2,1,3,8,5,6,7,4] => [1,3,3,1]
[2,1,3,8,5,7,6,4] => [1,3,2,1,1]
[2,1,3,8,6,5,7,4] => [1,3,1,2,1]
[2,1,3,8,6,7,5,4] => [1,3,2,1,1]
[2,1,4,3,8,6,7,5] => [1,2,2,2,1]
[2,1,4,5,8,6,7,3] => [1,4,2,1]
[2,1,4,7,5,6,8,3] => [1,3,3,1]
[2,1,4,8,5,6,7,3] => [1,3,3,1]
[2,1,4,8,5,7,6,3] => [1,3,2,1,1]
[2,1,4,8,6,5,7,3] => [1,3,1,2,1]
[2,1,4,8,6,7,5,3] => [1,3,2,1,1]
[2,1,5,4,8,6,7,3] => [1,2,2,2,1]
[2,1,6,4,5,3,7,8] => [1,2,2,3]
[2,1,6,4,5,3,8,7] => [1,2,2,2,1]
[2,1,6,4,5,7,3,8] => [1,2,3,2]
[2,1,6,4,5,7,8,3] => [1,2,4,1]
[2,1,6,4,5,8,7,3] => [1,2,3,1,1]
[2,1,7,4,5,6,8,3] => [1,2,4,1]
[2,1,8,4,5,6,7,3] => [1,2,4,1]
[2,1,8,4,5,7,6,3] => [1,2,3,1,1]
[2,1,7,4,6,5,8,3] => [1,2,2,2,1]
[2,1,8,4,6,5,7,3] => [1,2,2,2,1]
[2,1,8,4,6,7,5,3] => [1,2,3,1,1]
[2,1,8,4,7,6,5,3] => [1,2,2,1,1,1]
[2,1,7,5,4,6,8,3] => [1,2,1,3,1]
[2,1,8,5,4,6,7,3] => [1,2,1,3,1]
[2,1,8,5,4,7,6,3] => [1,2,1,2,1,1]
[2,1,7,5,6,4,3,8] => [1,2,2,1,2]
[2,1,7,5,6,4,8,3] => [1,2,2,2,1]
[2,1,8,5,6,4,7,3] => [1,2,2,2,1]
[2,1,8,5,6,7,4,3] => [1,2,3,1,1]
[2,1,8,5,7,6,4,3] => [1,2,2,1,1,1]
[2,1,8,6,5,4,7,3] => [1,2,1,1,2,1]
[2,1,8,6,5,7,4,3] => [1,2,1,2,1,1]
[2,1,8,7,5,6,4,3] => [1,2,1,2,1,1]
[2,3,1,4,8,6,7,5] => [2,3,2,1]
[2,3,1,5,8,6,7,4] => [2,3,2,1]
[2,3,1,7,5,6,4,8] => [2,2,2,2]
[2,3,1,7,5,6,8,4] => [2,2,3,1]
[2,3,1,8,5,6,7,4] => [2,2,3,1]
[2,3,1,8,5,7,6,4] => [2,2,2,1,1]
[2,3,1,8,6,5,7,4] => [2,2,1,2,1]
[2,3,1,8,6,7,5,4] => [2,2,2,1,1]
[2,3,4,1,8,6,7,5] => [3,2,2,1]
[2,3,4,5,8,6,7,1] => [5,2,1]
[2,3,4,7,5,6,1,8] => [4,2,2]
[2,3,4,7,5,6,8,1] => [4,3,1]
[2,3,4,8,5,6,7,1] => [4,3,1]
[2,3,4,8,5,7,6,1] => [4,2,1,1]
[2,3,4,8,6,5,7,1] => [4,1,2,1]
[2,3,4,8,6,7,5,1] => [4,2,1,1]
[2,3,5,4,8,6,7,1] => [3,2,2,1]
[2,3,6,4,5,1,7,8] => [3,2,3]
[2,3,6,4,5,1,8,7] => [3,2,2,1]
[2,3,6,4,5,7,8,1] => [3,4,1]
[2,3,6,4,5,8,7,1] => [3,3,1,1]
[2,3,7,4,5,6,1,8] => [3,3,2]
[2,3,7,4,5,6,8,1] => [3,4,1]
[2,3,8,4,5,6,7,1] => [3,4,1]
[2,3,8,4,5,7,6,1] => [3,3,1,1]
[2,3,7,4,6,5,1,8] => [3,2,1,2]
[2,3,7,4,6,5,8,1] => [3,2,2,1]
[2,3,8,4,6,5,7,1] => [3,2,2,1]
[2,3,8,4,6,7,5,1] => [3,3,1,1]
[2,3,8,4,7,6,5,1] => [3,2,1,1,1]
[2,3,7,5,4,6,1,8] => [3,1,2,2]
[2,3,7,5,4,6,8,1] => [3,1,3,1]
[2,3,8,5,4,6,7,1] => [3,1,3,1]
[2,3,8,5,4,7,6,1] => [3,1,2,1,1]
[2,3,7,5,6,4,1,8] => [3,2,1,2]
[2,3,7,5,6,4,8,1] => [3,2,2,1]
[2,3,8,5,6,4,7,1] => [3,2,2,1]
[2,3,8,5,6,7,4,1] => [3,3,1,1]
[2,3,8,5,7,6,4,1] => [3,2,1,1,1]
[2,3,8,6,5,4,7,1] => [3,1,1,2,1]
[2,3,8,6,5,7,4,1] => [3,1,2,1,1]
[2,3,8,7,5,6,4,1] => [3,1,2,1,1]
[2,4,3,1,8,6,7,5] => [2,1,2,2,1]
[2,4,3,5,8,6,7,1] => [2,3,2,1]
[2,4,3,7,5,6,1,8] => [2,2,2,2]
[2,4,3,7,5,6,8,1] => [2,2,3,1]
[2,4,3,8,5,6,7,1] => [2,2,3,1]
[2,4,3,8,5,7,6,1] => [2,2,2,1,1]
[2,4,3,8,6,5,7,1] => [2,2,1,2,1]
[2,4,3,8,6,7,5,1] => [2,2,2,1,1]
[2,5,3,4,1,6,7,8] => [2,2,4]
[2,5,3,4,1,7,6,8] => [2,2,2,2]
[2,5,3,4,1,7,8,6] => [2,2,3,1]
[2,5,3,4,1,8,7,6] => [2,2,2,1,1]
[2,5,3,4,6,1,8,7] => [2,3,2,1]
[2,5,3,4,6,7,1,8] => [2,4,2]
[2,5,3,4,6,7,8,1] => [2,5,1]
[2,5,3,4,6,8,7,1] => [2,4,1,1]
[2,5,3,4,7,6,1,8] => [2,3,1,2]
[2,5,3,4,7,6,8,1] => [2,3,2,1]
[2,5,3,4,8,6,7,1] => [2,3,2,1]
[2,5,3,4,8,7,6,1] => [2,3,1,1,1]
[2,6,3,4,5,1,7,8] => [2,3,3]
[2,6,3,4,5,1,8,7] => [2,3,2,1]
[2,6,3,4,5,7,8,1] => [2,5,1]
[2,6,3,4,5,8,7,1] => [2,4,1,1]
[2,7,3,4,5,6,1,8] => [2,4,2]
[2,7,3,4,5,6,8,1] => [2,5,1]
[2,8,3,4,5,6,7,1] => [2,5,1]
[2,8,3,4,5,7,6,1] => [2,4,1,1]
[2,8,3,4,6,7,5,1] => [2,4,1,1]
[2,6,3,5,4,1,7,8] => [2,2,1,3]
[2,6,3,5,4,1,8,7] => [2,2,1,2,1]
[2,6,3,5,4,7,8,1] => [2,2,3,1]
[2,6,3,5,4,8,7,1] => [2,2,2,1,1]
[2,7,3,5,4,6,1,8] => [2,2,2,2]
[2,7,3,5,4,6,8,1] => [2,2,3,1]
[2,8,3,5,4,6,7,1] => [2,2,3,1]
[2,8,3,5,4,7,6,1] => [2,2,2,1,1]
[2,7,3,5,6,4,1,8] => [2,3,1,2]
[2,7,3,5,6,4,8,1] => [2,3,2,1]
[2,8,3,5,6,7,4,1] => [2,4,1,1]
[2,8,3,5,7,6,4,1] => [2,3,1,1,1]
[2,7,3,6,5,4,1,8] => [2,2,1,1,2]
[2,8,3,6,5,4,7,1] => [2,2,1,2,1]
[2,8,3,6,5,7,4,1] => [2,2,2,1,1]
[2,8,3,7,5,6,4,1] => [2,2,2,1,1]
[2,8,3,7,6,5,4,1] => [2,2,1,1,1,1]
[2,5,4,3,8,6,7,1] => [2,1,2,2,1]
[2,6,4,3,5,1,7,8] => [2,1,2,3]
[2,6,4,3,5,1,8,7] => [2,1,2,2,1]
[2,6,4,3,5,7,8,1] => [2,1,4,1]
[2,6,4,3,5,8,7,1] => [2,1,3,1,1]
[2,7,4,3,5,6,8,1] => [2,1,4,1]
[2,8,4,3,5,6,7,1] => [2,1,4,1]
[2,8,4,3,5,7,6,1] => [2,1,3,1,1]
[2,7,4,3,6,5,1,8] => [2,1,2,1,2]
[2,7,4,3,6,5,8,1] => [2,1,2,2,1]
[2,8,4,3,6,5,7,1] => [2,1,2,2,1]
[2,8,4,3,6,7,5,1] => [2,1,3,1,1]
[2,8,4,3,7,6,5,1] => [2,1,2,1,1,1]
[2,6,4,5,3,1,7,8] => [2,2,1,3]
[2,6,4,5,3,1,8,7] => [2,2,1,2,1]
[2,6,4,5,3,7,8,1] => [2,2,3,1]
[2,6,4,5,3,8,7,1] => [2,2,2,1,1]
[2,7,4,5,3,6,1,8] => [2,2,2,2]
[2,8,4,5,3,6,7,1] => [2,2,3,1]
[2,7,4,5,6,3,1,8] => [2,3,1,2]
[2,7,4,5,6,3,8,1] => [2,3,2,1]
[2,8,4,5,6,3,7,1] => [2,3,2,1]
[2,8,4,5,6,7,3,1] => [2,4,1,1]
[2,7,4,6,5,3,1,8] => [2,2,1,1,2]
[2,7,4,6,5,3,8,1] => [2,2,1,2,1]
[2,8,4,6,5,3,7,1] => [2,2,1,2,1]
[2,8,4,6,5,7,3,1] => [2,2,2,1,1]
[2,8,4,7,5,6,3,1] => [2,2,2,1,1]
[2,8,4,7,6,5,3,1] => [2,2,1,1,1,1]
[2,7,5,4,3,6,1,8] => [2,1,1,2,2]
[2,7,5,4,3,6,8,1] => [2,1,1,3,1]
[2,8,5,4,3,6,7,1] => [2,1,1,3,1]
[2,8,5,4,3,7,6,1] => [2,1,1,2,1,1]
[2,7,5,4,6,3,8,1] => [2,1,2,2,1]
[2,8,5,4,6,3,7,1] => [2,1,2,2,1]
[2,8,5,4,6,7,3,1] => [2,1,3,1,1]
[2,8,5,4,7,6,3,1] => [2,1,2,1,1,1]
[2,7,6,4,5,3,8,1] => [2,1,2,2,1]
[2,8,6,4,5,3,7,1] => [2,1,2,2,1]
[2,8,6,4,5,7,3,1] => [2,1,3,1,1]
[2,8,7,4,5,6,3,1] => [2,1,3,1,1]
[2,8,7,4,6,5,3,1] => [2,1,2,1,1,1]
[2,8,6,5,4,3,7,1] => [2,1,1,1,2,1]
[2,8,6,5,4,7,3,1] => [2,1,1,2,1,1]
[2,8,7,5,4,6,3,1] => [2,1,1,2,1,1]
[2,8,7,5,6,4,3,1] => [2,1,2,1,1,1]
[3,2,1,4,8,6,7,5] => [1,1,3,2,1]
[3,2,1,5,8,6,7,4] => [1,1,3,2,1]
[3,2,1,7,5,6,4,8] => [1,1,2,2,2]
[3,2,1,7,5,6,8,4] => [1,1,2,3,1]
[3,2,1,8,5,6,7,4] => [1,1,2,3,1]
[3,2,1,8,5,7,6,4] => [1,1,2,2,1,1]
[3,2,1,8,6,5,7,4] => [1,1,2,1,2,1]
[3,2,1,8,6,7,5,4] => [1,1,2,2,1,1]
[3,2,4,1,8,6,7,5] => [1,2,2,2,1]
[3,2,4,5,8,6,7,1] => [1,4,2,1]
[3,2,4,7,5,6,1,8] => [1,3,2,2]
[3,2,4,7,5,6,8,1] => [1,3,3,1]
[3,2,4,8,5,6,7,1] => [1,3,3,1]
[3,2,4,8,5,7,6,1] => [1,3,2,1,1]
[3,2,4,8,6,5,7,1] => [1,3,1,2,1]
[3,2,4,8,6,7,5,1] => [1,3,2,1,1]
[3,2,5,4,8,6,7,1] => [1,2,2,2,1]
[3,2,6,4,5,1,8,7] => [1,2,2,2,1]
[3,2,6,4,5,7,1,8] => [1,2,3,2]
[3,2,7,4,5,6,1,8] => [1,2,3,2]
[3,2,8,4,5,6,7,1] => [1,2,4,1]
[3,2,7,4,6,5,1,8] => [1,2,2,1,2]
[3,2,7,4,6,5,8,1] => [1,2,2,2,1]
[3,2,8,4,6,5,7,1] => [1,2,2,2,1]
[3,2,7,5,4,6,1,8] => [1,2,1,2,2]
[3,2,8,5,4,6,7,1] => [1,2,1,3,1]
[3,2,8,5,4,7,6,1] => [1,2,1,2,1,1]
[3,2,7,5,6,4,1,8] => [1,2,2,1,2]
[3,2,7,5,6,4,8,1] => [1,2,2,2,1]
[3,2,8,5,6,4,7,1] => [1,2,2,2,1]
[3,2,8,5,6,7,4,1] => [1,2,3,1,1]
[3,2,8,5,7,6,4,1] => [1,2,2,1,1,1]
[3,2,8,6,5,4,7,1] => [1,2,1,1,2,1]
[3,2,8,6,5,7,4,1] => [1,2,1,2,1,1]
[3,2,8,7,5,6,4,1] => [1,2,1,2,1,1]
[4,2,3,1,5,6,8,7] => [1,2,4,1]
[4,2,3,1,5,7,6,8] => [1,2,3,2]
[4,2,3,1,5,7,8,6] => [1,2,4,1]
[4,2,3,1,5,8,7,6] => [1,2,3,1,1]
[4,2,3,1,6,5,7,8] => [1,2,2,3]
[4,2,3,1,6,5,8,7] => [1,2,2,2,1]
[4,2,3,1,6,7,5,8] => [1,2,3,2]
[4,2,3,1,6,7,8,5] => [1,2,4,1]
[4,2,3,1,6,8,7,5] => [1,2,3,1,1]
[4,2,3,1,7,6,5,8] => [1,2,2,1,2]
[4,2,3,1,7,6,8,5] => [1,2,2,2,1]
[4,2,3,1,8,6,7,5] => [1,2,2,2,1]
[4,2,3,1,8,7,6,5] => [1,2,2,1,1,1]
[4,2,3,5,1,6,8,7] => [1,3,3,1]
[4,2,3,5,1,7,6,8] => [1,3,2,2]
[4,2,3,5,1,7,8,6] => [1,3,3,1]
[4,2,3,5,1,8,7,6] => [1,3,2,1,1]
[4,2,3,5,6,1,8,7] => [1,4,2,1]
[4,2,3,5,6,8,7,1] => [1,5,1,1]
[4,2,3,5,7,6,1,8] => [1,4,1,2]
[4,2,3,5,7,6,8,1] => [1,4,2,1]
[4,2,3,5,8,7,6,1] => [1,4,1,1,1]
[4,2,3,6,5,1,7,8] => [1,3,1,3]
[4,2,3,6,5,1,8,7] => [1,3,1,2,1]
[4,2,3,6,5,8,7,1] => [1,3,2,1,1]
[4,2,3,7,5,6,1,8] => [1,3,2,2]
[4,2,3,7,5,6,8,1] => [1,3,3,1]
[4,2,3,8,5,6,7,1] => [1,3,3,1]
[4,2,3,8,5,7,6,1] => [1,3,2,1,1]
[4,2,3,7,6,5,1,8] => [1,3,1,1,2]
[4,2,3,7,6,5,8,1] => [1,3,1,2,1]
[4,2,3,8,6,5,7,1] => [1,3,1,2,1]
[4,2,3,8,6,7,5,1] => [1,3,2,1,1]
[4,2,3,8,7,6,5,1] => [1,3,1,1,1,1]
[5,2,3,4,1,6,8,7] => [1,3,3,1]
[5,2,3,4,1,7,6,8] => [1,3,2,2]
[5,2,3,4,1,7,8,6] => [1,3,3,1]
[5,2,3,4,1,8,7,6] => [1,3,2,1,1]
[5,2,3,4,6,1,8,7] => [1,4,2,1]
[5,2,3,4,6,8,7,1] => [1,5,1,1]
[5,2,3,4,7,6,1,8] => [1,4,1,2]
[5,2,3,4,7,6,8,1] => [1,4,2,1]
[5,2,3,4,8,6,7,1] => [1,4,2,1]
[5,2,3,4,8,7,6,1] => [1,4,1,1,1]
[6,2,3,4,5,1,8,7] => [1,4,2,1]
[6,2,3,4,5,8,7,1] => [1,5,1,1]
[8,2,3,4,5,7,6,1] => [1,5,1,1]
[7,2,3,4,6,5,1,8] => [1,4,1,2]
[7,2,3,4,6,5,8,1] => [1,4,2,1]
[8,2,3,4,6,5,7,1] => [1,4,2,1]
[8,2,3,4,6,7,5,1] => [1,5,1,1]
[8,2,3,4,7,6,5,1] => [1,4,1,1,1]
[6,2,3,5,4,1,7,8] => [1,3,1,3]
[6,2,3,5,4,1,8,7] => [1,3,1,2,1]
[6,2,3,5,4,7,1,8] => [1,3,2,2]
[6,2,3,5,4,7,8,1] => [1,3,3,1]
[6,2,3,5,4,8,7,1] => [1,3,2,1,1]
[7,2,3,5,4,6,1,8] => [1,3,2,2]
[8,2,3,5,4,6,7,1] => [1,3,3,1]
[8,2,3,5,4,7,6,1] => [1,3,2,1,1]
[7,2,3,5,6,4,1,8] => [1,4,1,2]
[7,2,3,5,6,4,8,1] => [1,4,2,1]
[8,2,3,5,6,4,7,1] => [1,4,2,1]
[8,2,3,5,6,7,4,1] => [1,5,1,1]
[8,2,3,5,7,6,4,1] => [1,4,1,1,1]
[7,2,3,6,5,4,1,8] => [1,3,1,1,2]
[8,2,3,6,5,4,7,1] => [1,3,1,2,1]
[8,2,3,6,5,7,4,1] => [1,3,2,1,1]
[8,2,3,7,5,6,4,1] => [1,3,2,1,1]
[8,2,3,7,6,5,4,1] => [1,3,1,1,1,1]
[5,2,4,3,1,6,7,8] => [1,2,1,4]
[5,2,4,3,1,6,8,7] => [1,2,1,3,1]
[5,2,4,3,1,7,6,8] => [1,2,1,2,2]
[5,2,4,3,1,7,8,6] => [1,2,1,3,1]
[5,2,4,3,1,8,7,6] => [1,2,1,2,1,1]
[5,2,4,3,6,1,7,8] => [1,2,2,3]
[5,2,4,3,6,1,8,7] => [1,2,2,2,1]
[5,2,4,3,6,7,1,8] => [1,2,3,2]
[5,2,4,3,6,7,8,1] => [1,2,4,1]
[5,2,4,3,7,6,1,8] => [1,2,2,1,2]
[5,2,4,3,7,6,8,1] => [1,2,2,2,1]
[5,2,4,3,8,7,6,1] => [1,2,2,1,1,1]
[6,2,4,3,5,1,8,7] => [1,2,2,2,1]
[6,2,4,3,5,8,7,1] => [1,2,3,1,1]
[7,2,4,3,5,6,8,1] => [1,2,4,1]
[8,2,4,3,5,6,7,1] => [1,2,4,1]
[8,2,4,3,5,7,6,1] => [1,2,3,1,1]
[7,2,4,3,6,5,1,8] => [1,2,2,1,2]
[7,2,4,3,6,5,8,1] => [1,2,2,2,1]
[8,2,4,3,6,5,7,1] => [1,2,2,2,1]
[8,2,4,3,6,7,5,1] => [1,2,3,1,1]
[8,2,4,3,7,6,5,1] => [1,2,2,1,1,1]
[6,2,4,5,3,1,7,8] => [1,3,1,3]
[6,2,4,5,3,1,8,7] => [1,3,1,2,1]
[6,2,4,5,3,7,1,8] => [1,3,2,2]
[6,2,4,5,3,7,8,1] => [1,3,3,1]
[6,2,4,5,3,8,7,1] => [1,3,2,1,1]
[7,2,4,5,3,6,1,8] => [1,3,2,2]
[7,2,4,5,3,6,8,1] => [1,3,3,1]
[8,2,4,5,3,6,7,1] => [1,3,3,1]
[8,2,4,5,3,7,6,1] => [1,3,2,1,1]
[7,2,4,5,6,3,1,8] => [1,4,1,2]
[7,2,4,5,6,3,8,1] => [1,4,2,1]
[8,2,4,5,6,3,7,1] => [1,4,2,1]
[8,2,4,5,6,7,3,1] => [1,5,1,1]
[8,2,4,5,7,6,3,1] => [1,4,1,1,1]
[7,2,4,6,5,3,1,8] => [1,3,1,1,2]
[7,2,4,6,5,3,8,1] => [1,3,1,2,1]
[8,2,4,6,5,3,7,1] => [1,3,1,2,1]
[8,2,4,6,5,7,3,1] => [1,3,2,1,1]
[8,2,4,7,5,6,3,1] => [1,3,2,1,1]
[8,2,4,7,6,5,3,1] => [1,3,1,1,1,1]
[6,2,5,4,3,1,7,8] => [1,2,1,1,3]
[6,2,5,4,3,1,8,7] => [1,2,1,1,2,1]
[6,2,5,4,3,7,1,8] => [1,2,1,2,2]
[6,2,5,4,3,7,8,1] => [1,2,1,3,1]
[6,2,5,4,3,8,7,1] => [1,2,1,2,1,1]
[7,2,5,4,3,6,1,8] => [1,2,1,2,2]
[7,2,5,4,3,6,8,1] => [1,2,1,3,1]
[8,2,5,4,3,6,7,1] => [1,2,1,3,1]
[8,2,5,4,3,7,6,1] => [1,2,1,2,1,1]
[7,2,5,4,6,3,1,8] => [1,2,2,1,2]
[7,2,5,4,6,3,8,1] => [1,2,2,2,1]
[8,2,5,4,6,3,7,1] => [1,2,2,2,1]
[8,2,5,4,6,7,3,1] => [1,2,3,1,1]
[8,2,5,4,7,6,3,1] => [1,2,2,1,1,1]
[7,2,6,4,5,3,1,8] => [1,2,2,1,2]
[7,2,6,4,5,3,8,1] => [1,2,2,2,1]
[8,2,6,4,5,3,7,1] => [1,2,2,2,1]
[8,2,6,4,5,7,3,1] => [1,2,3,1,1]
[8,2,7,4,5,6,3,1] => [1,2,3,1,1]
[8,2,7,4,6,5,3,1] => [1,2,2,1,1,1]
[7,2,6,5,4,3,1,8] => [1,2,1,1,1,2]
[7,2,6,5,4,3,8,1] => [1,2,1,1,2,1]
[8,2,6,5,4,3,7,1] => [1,2,1,1,2,1]
[8,2,6,5,4,7,3,1] => [1,2,1,2,1,1]
[8,2,7,5,4,6,3,1] => [1,2,1,2,1,1]
[8,2,7,5,6,4,3,1] => [1,2,2,1,1,1]
[8,2,7,6,5,4,3,1] => [1,2,1,1,1,1,1]
[4,3,2,1,8,6,7,5] => [1,1,1,2,2,1]
[4,3,2,7,5,6,1,8] => [1,1,2,2,2]
[4,3,2,7,5,6,8,1] => [1,1,2,3,1]
[4,3,2,8,5,6,7,1] => [1,1,2,3,1]
[4,3,2,8,5,7,6,1] => [1,1,2,2,1,1]
[4,3,2,8,6,5,7,1] => [1,1,2,1,2,1]
[4,3,2,8,6,7,5,1] => [1,1,2,2,1,1]
[5,3,2,4,1,6,8,7] => [1,1,2,3,1]
[5,3,2,4,1,7,6,8] => [1,1,2,2,2]
[5,3,2,4,1,7,8,6] => [1,1,2,3,1]
[5,3,2,4,1,8,7,6] => [1,1,2,2,1,1]
[5,3,2,4,6,1,8,7] => [1,1,3,2,1]
[5,3,2,4,6,8,7,1] => [1,1,4,1,1]
[5,3,2,4,7,6,1,8] => [1,1,3,1,2]
[5,3,2,4,7,6,8,1] => [1,1,3,2,1]
[5,3,2,4,8,6,7,1] => [1,1,3,2,1]
[5,3,2,4,8,7,6,1] => [1,1,3,1,1,1]
[6,3,2,4,5,1,8,7] => [1,1,3,2,1]
[6,3,2,4,5,8,7,1] => [1,1,4,1,1]
[8,3,2,4,5,7,6,1] => [1,1,4,1,1]
[8,3,2,4,6,5,7,1] => [1,1,3,2,1]
[8,3,2,4,6,7,5,1] => [1,1,4,1,1]
[8,3,2,4,7,6,5,1] => [1,1,3,1,1,1]
[6,3,2,5,4,1,7,8] => [1,1,2,1,3]
[6,3,2,5,4,1,8,7] => [1,1,2,1,2,1]
[6,3,2,5,4,7,1,8] => [1,1,2,2,2]
[6,3,2,5,4,7,8,1] => [1,1,2,3,1]
[6,3,2,5,4,8,7,1] => [1,1,2,2,1,1]
[7,3,2,5,4,6,1,8] => [1,1,2,2,2]
[7,3,2,5,4,6,8,1] => [1,1,2,3,1]
[8,3,2,5,4,6,7,1] => [1,1,2,3,1]
[8,3,2,5,4,7,6,1] => [1,1,2,2,1,1]
[7,3,2,5,6,4,8,1] => [1,1,3,2,1]
[8,3,2,5,6,4,7,1] => [1,1,3,2,1]
[8,3,2,5,6,7,4,1] => [1,1,4,1,1]
[8,3,2,5,7,6,4,1] => [1,1,3,1,1,1]
[7,3,2,6,5,4,8,1] => [1,1,2,1,2,1]
[8,3,2,6,5,4,7,1] => [1,1,2,1,2,1]
[8,3,2,6,5,7,4,1] => [1,1,2,2,1,1]
[8,3,2,7,5,6,4,1] => [1,1,2,2,1,1]
[8,3,2,7,6,5,4,1] => [1,1,2,1,1,1,1]
[5,3,4,2,1,6,8,7] => [1,2,1,3,1]
[5,3,4,2,1,7,6,8] => [1,2,1,2,2]
[5,3,4,2,1,7,8,6] => [1,2,1,3,1]
[5,3,4,2,1,8,7,6] => [1,2,1,2,1,1]
[5,3,4,2,6,1,8,7] => [1,2,2,2,1]
[5,3,4,2,7,6,1,8] => [1,2,2,1,2]
[5,3,4,2,7,6,8,1] => [1,2,2,2,1]
[5,3,4,2,8,6,7,1] => [1,2,2,2,1]
[6,3,4,2,5,1,8,7] => [1,2,2,2,1]
[6,3,4,2,5,8,7,1] => [1,2,3,1,1]
[8,3,4,2,5,7,6,1] => [1,2,3,1,1]
[7,3,4,2,6,5,1,8] => [1,2,2,1,2]
[7,3,4,2,6,5,8,1] => [1,2,2,2,1]
[8,3,4,2,6,5,7,1] => [1,2,2,2,1]
[8,3,4,2,6,7,5,1] => [1,2,3,1,1]
[8,3,4,2,7,6,5,1] => [1,2,2,1,1,1]
[6,3,4,5,2,1,8,7] => [1,3,1,2,1]
[6,3,4,5,2,8,7,1] => [1,3,2,1,1]
[8,3,4,5,2,7,6,1] => [1,3,2,1,1]
[8,3,4,5,7,6,2,1] => [1,4,1,1,1]
[7,3,4,6,5,2,1,8] => [1,3,1,1,2]
[7,3,4,6,5,2,8,1] => [1,3,1,2,1]
[8,3,4,6,5,2,7,1] => [1,3,1,2,1]
[8,3,4,6,5,7,2,1] => [1,3,2,1,1]
[8,3,4,7,5,6,2,1] => [1,3,2,1,1]
[8,3,4,7,6,5,2,1] => [1,3,1,1,1,1]
[6,3,5,4,2,1,7,8] => [1,2,1,1,3]
[6,3,5,4,2,1,8,7] => [1,2,1,1,2,1]
[6,3,5,4,2,7,1,8] => [1,2,1,2,2]
[6,3,5,4,2,7,8,1] => [1,2,1,3,1]
[6,3,5,4,2,8,7,1] => [1,2,1,2,1,1]
[7,3,5,4,2,6,1,8] => [1,2,1,2,2]
[7,3,5,4,2,6,8,1] => [1,2,1,3,1]
[8,3,5,4,2,6,7,1] => [1,2,1,3,1]
[8,3,5,4,2,7,6,1] => [1,2,1,2,1,1]
[7,3,5,4,6,2,1,8] => [1,2,2,1,2]
[7,3,5,4,6,2,8,1] => [1,2,2,2,1]
[8,3,5,4,6,2,7,1] => [1,2,2,2,1]
[8,3,5,4,6,7,2,1] => [1,2,3,1,1]
[8,3,5,4,7,6,2,1] => [1,2,2,1,1,1]
[7,3,6,4,5,2,1,8] => [1,2,2,1,2]
[7,3,6,4,5,2,8,1] => [1,2,2,2,1]
[8,3,6,4,5,2,7,1] => [1,2,2,2,1]
[8,3,6,4,5,7,2,1] => [1,2,3,1,1]
[8,3,7,4,5,6,2,1] => [1,2,3,1,1]
[8,3,7,4,6,5,2,1] => [1,2,2,1,1,1]
[7,3,6,5,4,2,1,8] => [1,2,1,1,1,2]
[7,3,6,5,4,2,8,1] => [1,2,1,1,2,1]
[8,3,6,5,4,2,7,1] => [1,2,1,1,2,1]
[8,3,6,5,4,7,2,1] => [1,2,1,2,1,1]
[8,3,7,5,4,6,2,1] => [1,2,1,2,1,1]
[8,3,7,5,6,4,2,1] => [1,2,2,1,1,1]
[8,3,7,6,5,4,2,1] => [1,2,1,1,1,1,1]
[5,4,3,2,8,6,7,1] => [1,1,1,2,2,1]
[6,4,3,2,5,1,8,7] => [1,1,1,2,2,1]
[6,4,3,2,5,8,7,1] => [1,1,1,3,1,1]
[8,4,3,2,5,7,6,1] => [1,1,1,3,1,1]
[7,4,3,2,6,5,1,8] => [1,1,1,2,1,2]
[7,4,3,2,6,5,8,1] => [1,1,1,2,2,1]
[8,4,3,2,6,5,7,1] => [1,1,1,2,2,1]
[8,4,3,2,6,7,5,1] => [1,1,1,3,1,1]
[8,4,3,2,7,6,5,1] => [1,1,1,2,1,1,1]
[6,4,3,5,2,1,8,7] => [1,1,2,1,2,1]
[6,4,3,5,2,8,7,1] => [1,1,2,2,1,1]
[8,4,3,5,2,7,6,1] => [1,1,2,2,1,1]
[8,4,3,5,7,6,2,1] => [1,1,3,1,1,1]
[7,4,3,6,5,2,1,8] => [1,1,2,1,1,2]
[7,4,3,6,5,2,8,1] => [1,1,2,1,2,1]
[8,4,3,6,5,2,7,1] => [1,1,2,1,2,1]
[8,4,3,6,5,7,2,1] => [1,1,2,2,1,1]
[8,4,3,7,5,6,2,1] => [1,1,2,2,1,1]
[8,4,3,7,6,5,2,1] => [1,1,2,1,1,1,1]
[6,5,3,4,2,1,8,7] => [1,1,2,1,2,1]
[6,5,3,4,2,8,7,1] => [1,1,2,2,1,1]
[8,5,3,4,2,7,6,1] => [1,1,2,2,1,1]
[8,5,3,4,7,6,2,1] => [1,1,3,1,1,1]
[8,7,3,4,6,5,2,1] => [1,1,3,1,1,1]
[7,6,3,5,4,2,1,8] => [1,1,2,1,1,2]
[7,6,3,5,4,2,8,1] => [1,1,2,1,2,1]
[8,6,3,5,4,2,7,1] => [1,1,2,1,2,1]
[8,6,3,5,4,7,2,1] => [1,1,2,2,1,1]
[8,7,3,5,4,6,2,1] => [1,1,2,2,1,1]
[8,7,3,5,6,4,2,1] => [1,1,3,1,1,1]
[8,7,3,6,5,4,2,1] => [1,1,2,1,1,1,1]
[8,5,4,3,2,7,6,1] => [1,1,1,1,2,1,1]
[8,5,4,3,7,6,2,1] => [1,1,1,2,1,1,1]
[8,7,4,3,6,5,2,1] => [1,1,1,2,1,1,1]
[8,7,4,6,5,3,2,1] => [1,1,2,1,1,1,1]
[2,4,1,3,6,5,8,7] => [2,3,2,1]
[2,1,4,6,3,5,8,7] => [1,3,3,1]
[2,4,1,6,3,5,8,7] => [2,2,3,1]
[2,4,6,1,3,5,8,7] => [3,4,1]
[2,1,4,3,6,8,5,7] => [1,2,3,2]
[2,4,1,3,6,8,5,7] => [2,4,2]
[2,1,4,6,3,8,5,7] => [1,3,2,2]
[2,4,1,6,3,8,5,7] => [2,2,2,2]
[2,4,6,1,3,8,5,7] => [3,3,2]
[2,1,4,6,8,3,5,7] => [1,4,3]
[2,4,1,6,8,3,5,7] => [2,3,3]
[2,4,6,1,8,3,5,7] => [3,2,3]
[2,4,6,8,1,3,5,7] => [4,4]
[2,4,1,3,6,5,7,8] => [2,3,3]
[2,1,4,6,3,5,7,8] => [1,3,4]
[2,4,1,6,3,5,7,8] => [2,2,4]
[2,4,6,1,3,5,7,8] => [3,5]
[2,4,1,3,6,7,5,8] => [2,4,2]
[2,1,4,6,3,7,5,8] => [1,3,2,2]
[2,4,1,6,3,7,5,8] => [2,2,2,2]
[2,4,6,1,3,7,5,8] => [3,3,2]
[2,4,1,6,7,3,5,8] => [2,3,3]
[2,4,6,7,1,3,5,8] => [4,4]
[2,4,1,3,6,7,8,5] => [2,5,1]
[2,1,4,6,3,7,8,5] => [1,3,3,1]
[2,4,1,6,3,7,8,5] => [2,2,3,1]
[2,4,6,1,3,7,8,5] => [3,4,1]
[2,1,4,6,7,3,8,5] => [1,4,2,1]
[2,4,1,6,7,3,8,5] => [2,3,2,1]
[2,4,6,1,7,3,8,5] => [3,2,2,1]
[2,4,6,7,1,3,8,5] => [4,3,1]
[2,1,4,6,7,8,3,5] => [1,5,2]
[2,4,1,6,7,8,3,5] => [2,4,2]
[2,4,6,1,7,8,3,5] => [3,3,2]
[2,4,6,7,1,8,3,5] => [4,2,2]
[2,4,6,7,8,1,3,5] => [5,3]
[2,1,4,3,7,5,8,6] => [1,2,2,2,1]
[2,4,1,3,7,5,8,6] => [2,3,2,1]
[2,1,4,7,3,5,8,6] => [1,3,3,1]
[2,4,1,7,3,5,8,6] => [2,2,3,1]
[2,4,7,1,3,5,8,6] => [3,4,1]
[2,1,4,3,7,8,5,6] => [1,2,3,2]
[2,4,1,3,7,8,5,6] => [2,4,2]
[2,1,4,7,3,8,5,6] => [1,3,2,2]
[2,4,1,7,3,8,5,6] => [2,2,2,2]
[2,4,7,1,3,8,5,6] => [3,3,2]
[2,1,4,7,8,3,5,6] => [1,4,3]
[2,4,1,7,8,3,5,6] => [2,3,3]
[2,4,7,1,8,3,5,6] => [3,2,3]
[2,4,7,8,1,3,5,6] => [4,4]
[2,4,1,3,7,5,6,8] => [2,3,3]
[2,1,4,7,3,5,6,8] => [1,3,4]
[2,4,7,1,3,5,6,8] => [3,5]
[2,4,1,3,5,7,6,8] => [2,4,2]
[2,4,1,5,3,7,6,8] => [2,2,2,2]
[2,4,5,1,3,7,6,8] => [3,3,2]
[2,4,5,1,7,3,6,8] => [3,2,3]
[2,4,1,3,5,7,8,6] => [2,5,1]
[2,4,1,5,3,7,8,6] => [2,2,3,1]
[2,4,5,1,3,7,8,6] => [3,4,1]
[2,1,4,5,7,3,8,6] => [1,4,2,1]
[2,4,1,5,7,3,8,6] => [2,3,2,1]
[2,4,5,1,7,3,8,6] => [3,2,2,1]
[2,4,5,7,1,3,8,6] => [4,3,1]
[2,1,4,5,7,8,3,6] => [1,5,2]
[2,4,1,5,7,8,3,6] => [2,4,2]
[2,4,5,1,7,8,3,6] => [3,3,2]
[2,4,5,7,1,8,3,6] => [4,2,2]
[2,4,5,7,8,1,3,6] => [5,3]
[2,1,4,3,8,5,6,7] => [1,2,2,3]
[2,4,1,3,8,5,6,7] => [2,3,3]
[2,1,4,8,3,5,6,7] => [1,3,4]
[2,4,1,8,3,5,6,7] => [2,2,4]
[2,4,8,1,3,5,6,7] => [3,5]
[2,1,4,3,5,8,6,7] => [1,2,3,2]
[2,4,1,3,5,8,6,7] => [2,4,2]
[2,4,1,5,3,8,6,7] => [2,2,2,2]
[2,1,4,5,8,3,6,7] => [1,4,3]
[2,4,1,5,8,3,6,7] => [2,3,3]
[2,4,5,1,8,3,6,7] => [3,2,3]
[2,4,5,8,1,3,6,7] => [4,4]
[2,4,1,3,5,6,8,7] => [2,5,1]
[2,4,1,5,3,6,8,7] => [2,2,3,1]
[2,4,1,5,6,3,8,7] => [2,3,2,1]
[2,4,5,1,6,3,8,7] => [3,2,2,1]
[2,4,5,6,1,3,8,7] => [4,3,1]
[2,1,4,5,6,8,3,7] => [1,5,2]
[2,4,1,5,6,8,3,7] => [2,4,2]
[2,4,5,1,6,8,3,7] => [3,3,2]
[2,4,5,6,1,8,3,7] => [4,2,2]
[2,4,5,6,8,1,3,7] => [5,3]
[2,4,1,3,5,6,7,8] => [2,6]
[2,4,1,5,3,6,7,8] => [2,2,4]
[2,4,5,1,3,6,7,8] => [3,5]
[2,4,1,5,6,3,7,8] => [2,3,3]
[2,4,5,1,6,3,7,8] => [3,2,3]
[2,4,5,6,1,3,7,8] => [4,4]
[2,4,1,5,6,7,3,8] => [2,4,2]
[2,4,5,1,6,7,3,8] => [3,3,2]
[2,4,5,6,1,7,3,8] => [4,2,2]
[2,4,5,6,7,1,3,8] => [5,3]
[2,4,1,5,6,7,8,3] => [2,5,1]
[2,4,5,1,6,7,8,3] => [3,4,1]
[2,4,5,6,1,7,8,3] => [4,3,1]
[2,4,5,6,7,1,8,3] => [5,2,1]
[2,4,5,6,7,8,1,3] => [6,2]
[2,1,5,3,6,4,8,7] => [1,2,2,2,1]
[2,5,1,3,6,4,8,7] => [2,3,2,1]
[2,1,5,6,3,4,8,7] => [1,3,3,1]
[2,5,1,6,3,4,8,7] => [2,2,3,1]
[2,5,6,1,3,4,8,7] => [3,4,1]
[2,1,5,3,6,8,4,7] => [1,2,3,2]
[2,5,1,3,6,8,4,7] => [2,4,2]
[2,5,1,6,3,8,4,7] => [2,2,2,2]
[2,5,6,1,3,8,4,7] => [3,3,2]
[2,1,5,6,8,3,4,7] => [1,4,3]
[2,5,1,6,8,3,4,7] => [2,3,3]
[2,5,6,1,8,3,4,7] => [3,2,3]
[2,5,6,8,1,3,4,7] => [4,4]
[2,1,5,3,6,4,7,8] => [1,2,2,3]
[2,5,1,3,6,4,7,8] => [2,3,3]
[2,1,5,6,3,4,7,8] => [1,3,4]
[2,5,1,6,3,4,7,8] => [2,2,4]
[2,5,6,1,3,4,7,8] => [3,5]
[2,1,5,3,6,7,4,8] => [1,2,3,2]
[2,5,1,3,6,7,4,8] => [2,4,2]
[2,1,5,6,3,7,4,8] => [1,3,2,2]
[2,5,1,6,3,7,4,8] => [2,2,2,2]
[2,5,6,1,3,7,4,8] => [3,3,2]
[2,1,5,6,7,3,4,8] => [1,4,3]
[2,5,1,6,7,3,4,8] => [2,3,3]
[2,5,6,1,7,3,4,8] => [3,2,3]
[2,5,6,7,1,3,4,8] => [4,4]
[2,1,5,3,6,7,8,4] => [1,2,4,1]
[2,5,1,3,6,7,8,4] => [2,5,1]
[2,1,5,6,3,7,8,4] => [1,3,3,1]
[2,5,1,6,3,7,8,4] => [2,2,3,1]
[2,5,6,1,3,7,8,4] => [3,4,1]
[2,1,5,6,7,3,8,4] => [1,4,2,1]
[2,5,1,6,7,3,8,4] => [2,3,2,1]
[2,5,6,1,7,3,8,4] => [3,2,2,1]
[2,5,6,7,1,3,8,4] => [4,3,1]
[2,1,5,6,7,8,3,4] => [1,5,2]
[2,5,1,6,7,8,3,4] => [2,4,2]
[2,5,6,1,7,8,3,4] => [3,3,2]
[2,5,6,7,1,8,3,4] => [4,2,2]
[2,5,6,7,8,1,3,4] => [5,3]
[2,1,5,3,7,4,8,6] => [1,2,2,2,1]
[2,5,1,3,7,4,8,6] => [2,3,2,1]
[2,1,5,7,3,4,8,6] => [1,3,3,1]
[2,5,1,7,3,4,8,6] => [2,2,3,1]
[2,5,7,1,3,4,8,6] => [3,4,1]
[2,1,5,3,7,8,4,6] => [1,2,3,2]
[2,5,1,3,7,8,4,6] => [2,4,2]
[2,1,5,7,3,8,4,6] => [1,3,2,2]
[2,5,1,7,3,8,4,6] => [2,2,2,2]
[2,5,7,1,3,8,4,6] => [3,3,2]
[2,1,5,7,8,3,4,6] => [1,4,3]
[2,5,1,7,8,3,4,6] => [2,3,3]
[2,5,7,1,8,3,4,6] => [3,2,3]
[2,5,7,8,1,3,4,6] => [4,4]
[2,1,5,3,7,4,6,8] => [1,2,2,3]
[2,5,1,3,7,4,6,8] => [2,3,3]
[2,1,5,7,3,4,6,8] => [1,3,4]
[2,5,1,3,4,7,6,8] => [2,4,2]
[2,3,5,1,4,7,6,8] => [3,3,2]
[2,3,1,5,7,4,6,8] => [2,3,3]
[2,3,5,7,1,4,6,8] => [4,4]
[2,5,1,3,4,7,8,6] => [2,5,1]
[2,3,5,1,4,7,8,6] => [3,4,1]
[2,3,5,1,7,4,8,6] => [3,2,2,1]
[2,3,5,7,1,4,8,6] => [4,3,1]
[2,1,3,5,7,8,4,6] => [1,5,2]
[2,3,1,5,7,8,4,6] => [2,4,2]
[2,3,5,1,7,8,4,6] => [3,3,2]
[2,3,5,7,1,8,4,6] => [4,2,2]
[2,3,5,7,8,1,4,6] => [5,3]
[2,1,5,3,8,4,6,7] => [1,2,2,3]
[2,5,1,3,8,4,6,7] => [2,3,3]
[2,1,5,8,3,4,6,7] => [1,3,4]
[2,5,1,8,3,4,6,7] => [2,2,4]
[2,5,8,1,3,4,6,7] => [3,5]
[2,5,1,3,4,8,6,7] => [2,4,2]
[2,1,3,5,4,8,6,7] => [1,3,2,2]
[2,3,5,1,4,8,6,7] => [3,3,2]
[2,1,3,5,8,4,6,7] => [1,4,3]
[2,3,1,5,8,4,6,7] => [2,3,3]
[2,3,5,1,8,4,6,7] => [3,2,3]
[2,3,5,8,1,4,6,7] => [4,4]
[2,1,5,3,4,6,8,7] => [1,2,4,1]
[2,3,5,1,6,4,8,7] => [3,2,2,1]
[2,3,5,6,1,4,8,7] => [4,3,1]
[2,3,1,5,6,8,4,7] => [2,4,2]
[2,3,5,1,6,8,4,7] => [3,3,2]
[2,3,5,6,1,8,4,7] => [4,2,2]
[2,3,5,6,8,1,4,7] => [5,3]
[2,1,5,3,4,6,7,8] => [1,2,5]
[2,5,1,3,4,6,7,8] => [2,6]
[2,3,5,1,4,6,7,8] => [3,5]
[2,3,5,1,6,4,7,8] => [3,2,3]
[2,3,5,6,1,4,7,8] => [4,4]
[2,3,5,1,6,7,4,8] => [3,3,2]
[2,3,5,6,1,7,4,8] => [4,2,2]
[2,3,5,6,7,1,4,8] => [5,3]
[2,3,5,1,6,7,8,4] => [3,4,1]
[2,3,5,6,1,7,8,4] => [4,3,1]
[2,3,5,6,7,1,8,4] => [5,2,1]
[2,3,5,6,7,8,1,4] => [6,2]
[2,1,6,3,7,4,8,5] => [1,2,2,2,1]
[2,6,1,3,7,4,8,5] => [2,3,2,1]
[2,1,6,7,3,4,8,5] => [1,3,3,1]
[2,6,1,7,3,4,8,5] => [2,2,3,1]
[2,6,7,1,3,4,8,5] => [3,4,1]
[2,1,6,3,7,8,4,5] => [1,2,3,2]
[2,6,1,3,7,8,4,5] => [2,4,2]
[2,1,6,7,3,8,4,5] => [1,3,2,2]
[2,6,1,7,3,8,4,5] => [2,2,2,2]
[2,6,7,1,3,8,4,5] => [3,3,2]
[2,1,6,7,8,3,4,5] => [1,4,3]
[2,6,1,7,8,3,4,5] => [2,3,3]
[2,6,7,1,8,3,4,5] => [3,2,3]
[2,6,7,8,1,3,4,5] => [4,4]
[2,1,6,3,7,4,5,8] => [1,2,2,3]
[2,6,1,3,7,4,5,8] => [2,3,3]
[2,1,6,7,3,4,5,8] => [1,3,4]
[2,6,1,7,3,4,5,8] => [2,2,4]
[2,6,7,1,3,4,5,8] => [3,5]
[2,1,6,3,4,7,5,8] => [1,2,3,2]
[2,6,1,3,4,7,5,8] => [2,4,2]
[2,3,1,6,4,7,5,8] => [2,2,2,2]
[2,3,6,1,4,7,5,8] => [3,3,2]
[2,3,1,6,7,4,5,8] => [2,3,3]
[2,3,6,1,7,4,5,8] => [3,2,3]
[2,3,6,7,1,4,5,8] => [4,4]
[2,1,6,3,4,7,8,5] => [1,2,4,1]
[2,6,1,3,4,7,8,5] => [2,5,1]
[2,1,3,6,4,7,8,5] => [1,3,3,1]
[2,3,1,6,4,7,8,5] => [2,2,3,1]
[2,3,6,1,4,7,8,5] => [3,4,1]
[2,1,3,6,7,4,8,5] => [1,4,2,1]
[2,3,1,6,7,4,8,5] => [2,3,2,1]
[2,3,6,1,7,4,8,5] => [3,2,2,1]
[2,3,6,7,1,4,8,5] => [4,3,1]
[2,1,3,6,7,8,4,5] => [1,5,2]
[2,3,1,6,7,8,4,5] => [2,4,2]
[2,3,6,1,7,8,4,5] => [3,3,2]
[2,3,6,7,1,8,4,5] => [4,2,2]
[2,3,6,7,8,1,4,5] => [5,3]
[2,1,6,3,8,4,5,7] => [1,2,2,3]
[2,6,1,3,8,4,5,7] => [2,3,3]
[2,1,6,8,3,4,5,7] => [1,3,4]
[2,6,1,8,3,4,5,7] => [2,2,4]
[2,6,8,1,3,4,5,7] => [3,5]
[2,1,6,3,4,8,5,7] => [1,2,3,2]
[2,6,1,3,4,8,5,7] => [2,4,2]
[2,1,3,6,4,8,5,7] => [1,3,2,2]
[2,3,1,6,4,8,5,7] => [2,2,2,2]
[2,3,6,1,4,8,5,7] => [3,3,2]
[2,3,1,6,8,4,5,7] => [2,3,3]
[2,3,6,1,8,4,5,7] => [3,2,3]
[2,3,6,8,1,4,5,7] => [4,4]
[2,1,6,3,4,5,8,7] => [1,2,4,1]
[2,6,1,3,4,5,8,7] => [2,5,1]
[2,1,3,6,4,5,8,7] => [1,3,3,1]
[2,3,1,6,4,5,8,7] => [2,2,3,1]
[2,3,6,1,4,5,8,7] => [3,4,1]
[2,3,4,6,1,5,8,7] => [4,3,1]
[2,1,3,4,6,8,5,7] => [1,5,2]
[2,3,1,4,6,8,5,7] => [2,4,2]
[2,3,4,1,6,8,5,7] => [3,3,2]
[2,3,4,6,1,8,5,7] => [4,2,2]
[2,3,4,6,8,1,5,7] => [5,3]
[2,1,6,3,4,5,7,8] => [1,2,5]
[2,6,1,3,4,5,7,8] => [2,6]
[2,1,3,6,4,5,7,8] => [1,3,4]
[2,3,1,6,4,5,7,8] => [2,2,4]
[2,3,6,1,4,5,7,8] => [3,5]
[2,3,4,6,1,5,7,8] => [4,4]
[2,3,4,6,1,7,5,8] => [4,2,2]
[2,3,4,6,7,1,5,8] => [5,3]
[2,3,4,6,1,7,8,5] => [4,3,1]
[2,3,4,6,7,1,8,5] => [5,2,1]
[2,3,4,6,7,8,1,5] => [6,2]
[2,1,7,3,8,4,5,6] => [1,2,2,3]
[2,7,1,3,8,4,5,6] => [2,3,3]
[2,1,7,8,3,4,5,6] => [1,3,4]
[2,7,1,8,3,4,5,6] => [2,2,4]
[2,7,8,1,3,4,5,6] => [3,5]
[2,1,7,3,4,8,5,6] => [1,2,3,2]
[2,7,1,3,4,8,5,6] => [2,4,2]
[2,1,3,7,4,8,5,6] => [1,3,2,2]
[2,3,1,7,4,8,5,6] => [2,2,2,2]
[2,3,7,1,4,8,5,6] => [3,3,2]
[2,1,3,7,8,4,5,6] => [1,4,3]
[2,3,1,7,8,4,5,6] => [2,3,3]
[2,3,7,1,8,4,5,6] => [3,2,3]
[2,3,7,8,1,4,5,6] => [4,4]
[2,1,7,3,4,5,8,6] => [1,2,4,1]
[2,7,1,3,4,5,8,6] => [2,5,1]
[2,1,3,7,4,5,8,6] => [1,3,3,1]
[2,3,1,7,4,5,8,6] => [2,2,3,1]
[2,3,7,1,4,5,8,6] => [3,4,1]
[2,1,3,4,7,5,8,6] => [1,4,2,1]
[2,3,4,1,7,5,8,6] => [3,2,2,1]
[2,3,4,7,1,5,8,6] => [4,3,1]
[2,1,3,4,7,8,5,6] => [1,5,2]
[2,3,1,4,7,8,5,6] => [2,4,2]
[2,3,4,1,7,8,5,6] => [3,3,2]
[2,3,4,7,1,8,5,6] => [4,2,2]
[2,3,4,7,8,1,5,6] => [5,3]
[2,1,7,3,4,5,6,8] => [1,2,5]
[2,7,1,3,4,5,6,8] => [2,6]
[2,1,3,7,4,5,6,8] => [1,3,4]
[2,3,1,7,4,5,6,8] => [2,2,4]
[2,3,7,1,4,5,6,8] => [3,5]
[2,1,3,4,7,5,6,8] => [1,4,3]
[2,3,1,4,7,5,6,8] => [2,3,3]
[2,3,4,1,7,5,6,8] => [3,2,3]
[2,3,4,7,1,5,6,8] => [4,4]
[2,3,4,5,7,1,6,8] => [5,3]
[2,3,4,5,7,1,8,6] => [5,2,1]
[2,3,4,5,7,8,1,6] => [6,2]
[2,1,8,3,4,5,6,7] => [1,2,5]
[2,8,1,3,4,5,6,7] => [2,6]
[2,1,3,8,4,5,6,7] => [1,3,4]
[2,3,1,8,4,5,6,7] => [2,2,4]
[2,3,8,1,4,5,6,7] => [3,5]
[2,1,3,4,8,5,6,7] => [1,4,3]
[2,3,1,4,8,5,6,7] => [2,3,3]
[2,3,4,1,8,5,6,7] => [3,2,3]
[2,3,4,8,1,5,6,7] => [4,4]
[2,1,3,4,5,8,6,7] => [1,5,2]
[2,3,1,4,5,8,6,7] => [2,4,2]
[2,3,4,1,5,8,6,7] => [3,3,2]
[2,3,4,5,1,8,6,7] => [4,2,2]
[2,3,4,5,8,1,6,7] => [5,3]
[2,3,4,5,6,8,1,7] => [6,2]
[3,1,4,2,6,5,8,7] => [1,2,2,2,1]
[3,4,1,2,6,5,8,7] => [2,3,2,1]
[3,1,4,6,2,5,8,7] => [1,3,3,1]
[3,4,1,6,2,5,8,7] => [2,2,3,1]
[3,4,6,1,2,5,8,7] => [3,4,1]
[3,1,4,2,6,8,5,7] => [1,2,3,2]
[3,4,1,2,6,8,5,7] => [2,4,2]
[3,1,4,6,2,8,5,7] => [1,3,2,2]
[3,4,1,6,2,8,5,7] => [2,2,2,2]
[3,1,4,6,8,2,5,7] => [1,4,3]
[3,4,1,6,8,2,5,7] => [2,3,3]
[3,4,6,1,8,2,5,7] => [3,2,3]
[3,4,6,8,1,2,5,7] => [4,4]
[3,1,4,2,6,5,7,8] => [1,2,2,3]
[3,4,1,2,6,5,7,8] => [2,3,3]
[3,1,4,6,2,5,7,8] => [1,3,4]
[3,4,1,6,2,5,7,8] => [2,2,4]
[3,4,6,1,2,5,7,8] => [3,5]
[3,1,4,2,6,7,5,8] => [1,2,3,2]
[3,4,1,2,6,7,5,8] => [2,4,2]
[3,1,4,6,2,7,5,8] => [1,3,2,2]
[3,4,1,6,2,7,5,8] => [2,2,2,2]
[3,4,6,1,2,7,5,8] => [3,3,2]
[3,1,4,6,7,2,5,8] => [1,4,3]
[3,4,1,6,7,2,5,8] => [2,3,3]
[3,4,6,1,7,2,5,8] => [3,2,3]
[3,4,6,7,1,2,5,8] => [4,4]
[3,1,4,2,6,7,8,5] => [1,2,4,1]
[3,4,1,2,6,7,8,5] => [2,5,1]
[3,1,4,6,2,7,8,5] => [1,3,3,1]
[3,4,1,6,2,7,8,5] => [2,2,3,1]
[3,4,6,1,2,7,8,5] => [3,4,1]
[3,1,4,6,7,2,8,5] => [1,4,2,1]
[3,4,1,6,7,2,8,5] => [2,3,2,1]
[3,4,6,1,7,2,8,5] => [3,2,2,1]
[3,4,6,7,1,2,8,5] => [4,3,1]
[3,1,4,6,7,8,2,5] => [1,5,2]
[3,4,1,6,7,8,2,5] => [2,4,2]
[3,4,6,1,7,8,2,5] => [3,3,2]
[3,4,6,7,1,8,2,5] => [4,2,2]
[3,4,6,7,8,1,2,5] => [5,3]
[3,1,4,2,7,5,8,6] => [1,2,2,2,1]
[3,4,1,2,7,5,8,6] => [2,3,2,1]
[3,1,4,7,2,5,8,6] => [1,3,3,1]
[3,4,1,7,2,5,8,6] => [2,2,3,1]
[3,4,7,1,2,5,8,6] => [3,4,1]
[3,1,4,2,7,8,5,6] => [1,2,3,2]
[3,4,1,2,7,8,5,6] => [2,4,2]
[3,1,4,7,2,8,5,6] => [1,3,2,2]
[3,4,7,1,2,8,5,6] => [3,3,2]
[3,4,1,7,8,2,5,6] => [2,3,3]
[3,4,7,1,8,2,5,6] => [3,2,3]
[3,4,7,8,1,2,5,6] => [4,4]
[3,1,4,2,7,5,6,8] => [1,2,2,3]
[3,4,1,2,7,5,6,8] => [2,3,3]
[3,1,4,7,2,5,6,8] => [1,3,4]
[3,4,7,1,2,5,6,8] => [3,5]
[3,1,4,2,5,7,6,8] => [1,2,3,2]
[3,4,1,2,5,7,6,8] => [2,4,2]
[3,1,4,5,2,7,6,8] => [1,3,2,2]
[3,4,1,5,2,7,6,8] => [2,2,2,2]
[3,4,5,1,2,7,6,8] => [3,3,2]
[3,1,4,5,7,2,6,8] => [1,4,3]
[3,4,1,5,7,2,6,8] => [2,3,3]
[3,4,5,1,7,2,6,8] => [3,2,3]
[3,4,5,7,1,2,6,8] => [4,4]
[3,1,4,2,5,7,8,6] => [1,2,4,1]
[3,4,1,2,5,7,8,6] => [2,5,1]
[3,1,4,5,2,7,8,6] => [1,3,3,1]
[3,4,1,5,2,7,8,6] => [2,2,3,1]
[3,4,5,1,2,7,8,6] => [3,4,1]
[3,1,4,5,7,2,8,6] => [1,4,2,1]
[3,4,1,5,7,2,8,6] => [2,3,2,1]
[3,4,5,1,7,2,8,6] => [3,2,2,1]
[3,4,5,7,1,2,8,6] => [4,3,1]
[3,1,4,5,7,8,2,6] => [1,5,2]
[3,4,1,5,7,8,2,6] => [2,4,2]
[3,4,5,1,7,8,2,6] => [3,3,2]
[3,4,5,7,1,8,2,6] => [4,2,2]
[3,4,5,7,8,1,2,6] => [5,3]
[3,1,4,2,8,5,6,7] => [1,2,2,3]
[3,4,1,2,8,5,6,7] => [2,3,3]
[3,1,4,8,2,5,6,7] => [1,3,4]
[3,4,1,8,2,5,6,7] => [2,2,4]
[3,4,8,1,2,5,6,7] => [3,5]
[3,1,4,2,5,8,6,7] => [1,2,3,2]
[3,4,1,2,5,8,6,7] => [2,4,2]
[3,4,1,5,2,8,6,7] => [2,2,2,2]
[3,4,5,1,2,8,6,7] => [3,3,2]
[3,1,4,5,8,2,6,7] => [1,4,3]
[3,4,1,5,8,2,6,7] => [2,3,3]
[3,4,5,1,8,2,6,7] => [3,2,3]
[3,4,5,8,1,2,6,7] => [4,4]
[3,1,4,2,5,6,8,7] => [1,2,4,1]
[3,4,1,2,5,6,8,7] => [2,5,1]
[3,4,1,5,2,6,8,7] => [2,2,3,1]
[3,4,5,1,2,6,8,7] => [3,4,1]
[3,1,4,5,6,2,8,7] => [1,4,2,1]
[3,4,1,5,6,2,8,7] => [2,3,2,1]
[3,4,5,1,6,2,8,7] => [3,2,2,1]
[3,4,5,6,1,2,8,7] => [4,3,1]
[3,1,4,5,6,8,2,7] => [1,5,2]
[3,4,1,5,6,8,2,7] => [2,4,2]
[3,4,5,1,6,8,2,7] => [3,3,2]
[3,4,5,6,1,8,2,7] => [4,2,2]
[3,4,5,6,8,1,2,7] => [5,3]
[3,1,4,2,5,6,7,8] => [1,2,5]
[3,1,4,5,2,6,7,8] => [1,3,4]
[3,4,1,5,2,6,7,8] => [2,2,4]
[3,1,4,5,6,2,7,8] => [1,4,3]
[3,4,1,5,6,2,7,8] => [2,3,3]
[3,4,5,1,6,2,7,8] => [3,2,3]
[3,1,4,5,6,7,2,8] => [1,5,2]
[3,4,1,5,6,7,2,8] => [2,4,2]
[3,4,5,1,6,7,2,8] => [3,3,2]
[3,4,5,6,1,7,2,8] => [4,2,2]
[3,1,4,5,6,7,8,2] => [1,6,1]
[3,4,1,5,6,7,8,2] => [2,5,1]
[3,4,5,1,6,7,8,2] => [3,4,1]
[3,4,5,6,1,7,8,2] => [4,3,1]
[3,4,5,6,7,1,8,2] => [5,2,1]
[3,1,5,2,6,4,8,7] => [1,2,2,2,1]
[3,5,1,2,6,4,8,7] => [2,3,2,1]
[3,1,5,6,2,4,8,7] => [1,3,3,1]
[3,5,1,6,2,4,8,7] => [2,2,3,1]
[3,5,6,1,2,4,8,7] => [3,4,1]
[3,1,5,2,6,8,4,7] => [1,2,3,2]
[3,5,1,2,6,8,4,7] => [2,4,2]
[3,1,5,6,2,8,4,7] => [1,3,2,2]
[3,5,1,6,2,8,4,7] => [2,2,2,2]
[3,5,6,1,2,8,4,7] => [3,3,2]
[3,1,5,6,8,2,4,7] => [1,4,3]
[3,5,1,6,8,2,4,7] => [2,3,3]
[3,5,6,1,8,2,4,7] => [3,2,3]
[3,5,6,8,1,2,4,7] => [4,4]
[3,1,5,2,6,4,7,8] => [1,2,2,3]
[3,5,1,2,6,4,7,8] => [2,3,3]
[3,1,5,6,2,4,7,8] => [1,3,4]
[3,5,1,6,2,4,7,8] => [2,2,4]
[3,5,6,1,2,4,7,8] => [3,5]
[3,1,5,2,6,7,4,8] => [1,2,3,2]
[3,5,1,2,6,7,4,8] => [2,4,2]
[3,1,5,6,2,7,4,8] => [1,3,2,2]
[3,5,1,6,2,7,4,8] => [2,2,2,2]
[3,5,6,1,2,7,4,8] => [3,3,2]
[3,1,5,6,7,2,4,8] => [1,4,3]
[3,5,1,6,7,2,4,8] => [2,3,3]
[3,5,6,1,7,2,4,8] => [3,2,3]
[3,5,6,7,1,2,4,8] => [4,4]
[3,1,5,2,6,7,8,4] => [1,2,4,1]
[3,5,1,2,6,7,8,4] => [2,5,1]
[3,1,5,6,2,7,8,4] => [1,3,3,1]
[3,5,1,6,2,7,8,4] => [2,2,3,1]
[3,5,6,1,2,7,8,4] => [3,4,1]
[3,1,5,6,7,2,8,4] => [1,4,2,1]
[3,5,1,6,7,2,8,4] => [2,3,2,1]
[3,5,6,1,7,2,8,4] => [3,2,2,1]
[3,5,6,7,1,2,8,4] => [4,3,1]
[3,1,5,6,7,8,2,4] => [1,5,2]
[3,5,1,6,7,8,2,4] => [2,4,2]
[3,5,6,1,7,8,2,4] => [3,3,2]
[3,5,6,7,1,8,2,4] => [4,2,2]
[3,5,6,7,8,1,2,4] => [5,3]
[3,1,5,2,7,4,8,6] => [1,2,2,2,1]
[3,5,1,2,7,4,8,6] => [2,3,2,1]
[3,1,5,7,2,4,8,6] => [1,3,3,1]
[3,5,1,7,2,4,8,6] => [2,2,3,1]
[3,5,7,1,2,4,8,6] => [3,4,1]
[3,1,5,2,7,8,4,6] => [1,2,3,2]
[3,5,1,2,7,8,4,6] => [2,4,2]
[3,1,5,7,2,8,4,6] => [1,3,2,2]
[3,5,1,7,2,8,4,6] => [2,2,2,2]
[3,5,7,1,2,8,4,6] => [3,3,2]
[3,1,5,7,8,2,4,6] => [1,4,3]
[3,5,1,7,8,2,4,6] => [2,3,3]
[3,5,7,1,8,2,4,6] => [3,2,3]
[3,5,7,8,1,2,4,6] => [4,4]
[3,1,5,2,7,4,6,8] => [1,2,2,3]
[3,5,1,2,7,4,6,8] => [2,3,3]
[3,1,5,7,2,4,6,8] => [1,3,4]
[3,5,1,7,2,4,6,8] => [2,2,4]
[3,5,7,1,2,4,6,8] => [3,5]
[3,1,5,2,4,7,6,8] => [1,2,3,2]
[3,5,1,2,4,7,6,8] => [2,4,2]
[3,1,2,5,4,7,6,8] => [1,3,2,2]
[1,3,5,2,4,7,6,8] => [3,3,2]
[3,1,2,5,7,4,6,8] => [1,4,3]
[1,3,2,5,7,4,6,8] => [2,3,3]
[1,3,5,2,7,4,6,8] => [3,2,3]
[1,3,5,7,2,4,6,8] => [4,4]
[3,1,5,2,4,7,8,6] => [1,2,4,1]
[3,5,1,2,4,7,8,6] => [2,5,1]
[1,3,5,2,4,7,8,6] => [3,4,1]
[3,1,2,5,7,4,8,6] => [1,4,2,1]
[1,3,2,5,7,4,8,6] => [2,3,2,1]
[1,3,5,2,7,4,8,6] => [3,2,2,1]
[1,3,5,7,2,4,8,6] => [4,3,1]
[3,1,2,5,7,8,4,6] => [1,5,2]
[1,3,2,5,7,8,4,6] => [2,4,2]
[1,3,5,2,7,8,4,6] => [3,3,2]
[1,3,5,7,2,8,4,6] => [4,2,2]
[1,3,5,7,8,2,4,6] => [5,3]
[3,1,5,2,8,4,6,7] => [1,2,2,3]
[3,5,1,2,8,4,6,7] => [2,3,3]
[3,1,5,8,2,4,6,7] => [1,3,4]
[3,5,1,8,2,4,6,7] => [2,2,4]
[3,5,8,1,2,4,6,7] => [3,5]
[3,1,5,2,4,8,6,7] => [1,2,3,2]
[3,5,1,2,4,8,6,7] => [2,4,2]
[1,3,2,5,4,8,6,7] => [2,2,2,2]
[1,3,5,2,4,8,6,7] => [3,3,2]
[3,1,2,5,8,4,6,7] => [1,4,3]
[1,3,2,5,8,4,6,7] => [2,3,3]
[1,3,5,2,8,4,6,7] => [3,2,3]
[1,3,5,8,2,4,6,7] => [4,4]
[3,1,5,2,4,6,8,7] => [1,2,4,1]
[3,5,1,2,4,6,8,7] => [2,5,1]
[3,1,2,5,4,6,8,7] => [1,3,3,1]
[1,3,5,2,4,6,8,7] => [3,4,1]
[1,3,5,2,6,4,8,7] => [3,2,2,1]
[1,3,5,6,2,4,8,7] => [4,3,1]
[3,1,2,5,6,8,4,7] => [1,5,2]
[1,3,2,5,6,8,4,7] => [2,4,2]
[1,3,5,2,6,8,4,7] => [3,3,2]
[1,3,5,6,2,8,4,7] => [4,2,2]
[1,3,5,6,8,2,4,7] => [5,3]
[3,1,5,2,4,6,7,8] => [1,2,5]
[3,5,1,2,4,6,7,8] => [2,6]
[3,1,2,5,4,6,7,8] => [1,3,4]
[1,3,5,2,4,6,7,8] => [3,5]
[3,1,2,5,6,4,7,8] => [1,4,3]
[1,3,5,2,6,4,7,8] => [3,2,3]
[1,3,5,6,2,4,7,8] => [4,4]
[3,1,2,5,6,7,4,8] => [1,5,2]
[1,3,5,2,6,7,4,8] => [3,3,2]
[1,3,5,6,2,7,4,8] => [4,2,2]
[1,3,5,6,7,2,4,8] => [5,3]
[3,1,2,5,6,7,8,4] => [1,6,1]
[1,3,5,2,6,7,8,4] => [3,4,1]
[1,3,5,6,2,7,8,4] => [4,3,1]
[1,3,5,6,7,2,8,4] => [5,2,1]
[1,3,5,6,7,8,2,4] => [6,2]
[3,1,6,2,7,4,8,5] => [1,2,2,2,1]
[3,6,1,2,7,4,8,5] => [2,3,2,1]
[3,6,1,7,2,4,8,5] => [2,2,3,1]
[3,6,7,1,2,4,8,5] => [3,4,1]
[3,1,6,2,7,8,4,5] => [1,2,3,2]
[3,6,1,2,7,8,4,5] => [2,4,2]
[3,1,6,7,2,8,4,5] => [1,3,2,2]
[3,6,1,7,2,8,4,5] => [2,2,2,2]
[3,6,7,1,2,8,4,5] => [3,3,2]
[3,1,6,7,8,2,4,5] => [1,4,3]
[3,6,1,7,8,2,4,5] => [2,3,3]
[3,6,7,1,8,2,4,5] => [3,2,3]
[3,6,7,8,1,2,4,5] => [4,4]
[3,1,6,2,7,4,5,8] => [1,2,2,3]
[3,6,1,2,7,4,5,8] => [2,3,3]
[3,1,6,7,2,4,5,8] => [1,3,4]
[3,6,1,7,2,4,5,8] => [2,2,4]
[3,6,7,1,2,4,5,8] => [3,5]
[3,1,6,2,4,7,5,8] => [1,2,3,2]
[3,6,1,2,4,7,5,8] => [2,4,2]
[3,1,2,6,4,7,5,8] => [1,3,2,2]
[1,3,2,6,4,7,5,8] => [2,2,2,2]
[1,3,6,2,4,7,5,8] => [3,3,2]
[3,1,2,6,7,4,5,8] => [1,4,3]
[1,3,2,6,7,4,5,8] => [2,3,3]
[1,3,6,2,7,4,5,8] => [3,2,3]
[1,3,6,7,2,4,5,8] => [4,4]
[3,1,6,2,4,7,8,5] => [1,2,4,1]
[3,6,1,2,4,7,8,5] => [2,5,1]
[3,1,2,6,4,7,8,5] => [1,3,3,1]
[1,3,2,6,4,7,8,5] => [2,2,3,1]
[1,3,6,2,4,7,8,5] => [3,4,1]
[3,1,2,6,7,4,8,5] => [1,4,2,1]
[1,3,2,6,7,4,8,5] => [2,3,2,1]
[1,3,6,2,7,4,8,5] => [3,2,2,1]
[1,3,6,7,2,4,8,5] => [4,3,1]
[3,1,2,6,7,8,4,5] => [1,5,2]
[1,3,2,6,7,8,4,5] => [2,4,2]
[1,3,6,2,7,8,4,5] => [3,3,2]
[1,3,6,7,2,8,4,5] => [4,2,2]
[1,3,6,7,8,2,4,5] => [5,3]
[3,1,6,2,8,4,5,7] => [1,2,2,3]
[3,6,1,2,8,4,5,7] => [2,3,3]
[3,1,6,8,2,4,5,7] => [1,3,4]
[3,6,1,8,2,4,5,7] => [2,2,4]
[3,6,8,1,2,4,5,7] => [3,5]
[3,1,6,2,4,8,5,7] => [1,2,3,2]
[3,6,1,2,4,8,5,7] => [2,4,2]
[3,1,2,6,4,8,5,7] => [1,3,2,2]
[1,3,2,6,4,8,5,7] => [2,2,2,2]
[1,3,6,2,4,8,5,7] => [3,3,2]
[3,1,2,6,8,4,5,7] => [1,4,3]
[1,3,2,6,8,4,5,7] => [2,3,3]
[1,3,6,2,8,4,5,7] => [3,2,3]
[1,3,6,8,2,4,5,7] => [4,4]
[3,1,6,2,4,5,8,7] => [1,2,4,1]
[3,6,1,2,4,5,8,7] => [2,5,1]
[3,1,2,6,4,5,8,7] => [1,3,3,1]
[1,3,6,2,4,5,8,7] => [3,4,1]
[3,1,2,4,6,5,8,7] => [1,4,2,1]
[1,3,4,6,2,5,8,7] => [4,3,1]
[3,1,2,4,6,8,5,7] => [1,5,2]
[1,3,2,4,6,8,5,7] => [2,4,2]
[1,3,4,2,6,8,5,7] => [3,3,2]
[1,3,4,6,2,8,5,7] => [4,2,2]
[1,3,4,6,8,2,5,7] => [5,3]
[3,1,6,2,4,5,7,8] => [1,2,5]
[3,6,1,2,4,5,7,8] => [2,6]
[3,1,2,6,4,5,7,8] => [1,3,4]
[1,3,2,6,4,5,7,8] => [2,2,4]
[1,3,6,2,4,5,7,8] => [3,5]
[1,3,4,6,2,5,7,8] => [4,4]
[3,1,2,4,6,7,5,8] => [1,5,2]
[1,3,4,6,2,7,5,8] => [4,2,2]
[1,3,4,6,7,2,5,8] => [5,3]
[3,1,2,4,6,7,8,5] => [1,6,1]
[1,3,4,6,2,7,8,5] => [4,3,1]
[1,3,4,6,7,2,8,5] => [5,2,1]
[1,3,4,6,7,8,2,5] => [6,2]
[3,1,7,2,8,4,5,6] => [1,2,2,3]
[3,7,1,2,8,4,5,6] => [2,3,3]
[3,1,7,8,2,4,5,6] => [1,3,4]
[3,7,1,8,2,4,5,6] => [2,2,4]
[3,7,8,1,2,4,5,6] => [3,5]
[3,1,7,2,4,8,5,6] => [1,2,3,2]
[3,7,1,2,4,8,5,6] => [2,4,2]
[3,1,2,7,4,8,5,6] => [1,3,2,2]
[1,3,2,7,4,8,5,6] => [2,2,2,2]
[1,3,7,2,4,8,5,6] => [3,3,2]
[3,1,2,7,8,4,5,6] => [1,4,3]
[1,3,2,7,8,4,5,6] => [2,3,3]
[1,3,7,2,8,4,5,6] => [3,2,3]
[1,3,7,8,2,4,5,6] => [4,4]
[3,1,7,2,4,5,8,6] => [1,2,4,1]
[3,7,1,2,4,5,8,6] => [2,5,1]
[3,1,2,7,4,5,8,6] => [1,3,3,1]
[1,3,2,7,4,5,8,6] => [2,2,3,1]
[1,3,7,2,4,5,8,6] => [3,4,1]
[3,1,2,4,7,5,8,6] => [1,4,2,1]
[1,3,2,4,7,5,8,6] => [2,3,2,1]
[1,3,4,2,7,5,8,6] => [3,2,2,1]
[1,3,4,7,2,5,8,6] => [4,3,1]
[3,1,2,4,7,8,5,6] => [1,5,2]
[1,3,2,4,7,8,5,6] => [2,4,2]
[1,3,4,2,7,8,5,6] => [3,3,2]
[1,3,4,7,2,8,5,6] => [4,2,2]
[1,3,4,7,8,2,5,6] => [5,3]
[3,1,7,2,4,5,6,8] => [1,2,5]
[3,7,1,2,4,5,6,8] => [2,6]
[3,1,2,7,4,5,6,8] => [1,3,4]
[1,3,2,7,4,5,6,8] => [2,2,4]
[1,3,7,2,4,5,6,8] => [3,5]
[3,1,2,4,7,5,6,8] => [1,4,3]
[1,3,2,4,7,5,6,8] => [2,3,3]
[1,3,4,2,7,5,6,8] => [3,2,3]
[1,3,4,7,2,5,6,8] => [4,4]
[3,1,2,4,5,7,6,8] => [1,5,2]
[1,3,4,5,7,2,6,8] => [5,3]
[3,1,2,4,5,7,8,6] => [1,6,1]
[1,3,4,5,7,2,8,6] => [5,2,1]
[1,3,4,5,7,8,2,6] => [6,2]
[3,1,8,2,4,5,6,7] => [1,2,5]
[3,8,1,2,4,5,6,7] => [2,6]
[3,1,2,8,4,5,6,7] => [1,3,4]
[1,3,2,8,4,5,6,7] => [2,2,4]
[1,3,8,2,4,5,6,7] => [3,5]
[3,1,2,4,8,5,6,7] => [1,4,3]
[1,3,2,4,8,5,6,7] => [2,3,3]
[1,3,4,2,8,5,6,7] => [3,2,3]
[1,3,4,8,2,5,6,7] => [4,4]
[3,1,2,4,5,8,6,7] => [1,5,2]
[1,3,2,4,5,8,6,7] => [2,4,2]
[1,3,4,2,5,8,6,7] => [3,3,2]
[1,3,4,5,2,8,6,7] => [4,2,2]
[1,3,4,5,8,2,6,7] => [5,3]
[3,1,2,4,5,6,8,7] => [1,6,1]
[1,3,4,5,6,8,2,7] => [6,2]
[4,1,5,2,6,3,8,7] => [1,2,2,2,1]
[4,5,1,2,6,3,8,7] => [2,3,2,1]
[4,1,5,6,2,3,8,7] => [1,3,3,1]
[4,5,1,6,2,3,8,7] => [2,2,3,1]
[4,5,6,1,2,3,8,7] => [3,4,1]
[4,1,5,2,6,8,3,7] => [1,2,3,2]
[4,5,1,2,6,8,3,7] => [2,4,2]
[4,1,5,6,2,8,3,7] => [1,3,2,2]
[4,5,1,6,2,8,3,7] => [2,2,2,2]
[4,5,6,1,2,8,3,7] => [3,3,2]
[4,1,5,6,8,2,3,7] => [1,4,3]
[4,5,1,6,8,2,3,7] => [2,3,3]
[4,5,6,1,8,2,3,7] => [3,2,3]
[4,5,6,8,1,2,3,7] => [4,4]
[4,1,5,2,6,3,7,8] => [1,2,2,3]
[4,1,5,6,2,3,7,8] => [1,3,4]
[4,5,1,6,2,3,7,8] => [2,2,4]
[4,1,5,2,6,7,3,8] => [1,2,3,2]
[4,5,1,2,6,7,3,8] => [2,4,2]
[4,1,5,6,2,7,3,8] => [1,3,2,2]
[4,5,1,6,2,7,3,8] => [2,2,2,2]
[4,5,6,1,2,7,3,8] => [3,3,2]
[4,1,5,6,7,2,3,8] => [1,4,3]
[4,5,1,6,7,2,3,8] => [2,3,3]
[4,5,6,1,7,2,3,8] => [3,2,3]
[4,1,5,2,6,7,8,3] => [1,2,4,1]
[4,5,1,2,6,7,8,3] => [2,5,1]
[4,5,1,6,2,7,8,3] => [2,2,3,1]
[4,5,6,1,2,7,8,3] => [3,4,1]
[4,1,5,6,7,2,8,3] => [1,4,2,1]
[4,5,1,6,7,2,8,3] => [2,3,2,1]
[4,5,6,1,7,2,8,3] => [3,2,2,1]
[4,5,6,7,1,2,8,3] => [4,3,1]
[4,1,5,6,7,8,2,3] => [1,5,2]
[4,5,1,6,7,8,2,3] => [2,4,2]
[4,5,6,1,7,8,2,3] => [3,3,2]
[4,5,6,7,1,8,2,3] => [4,2,2]
[4,1,5,2,7,3,8,6] => [1,2,2,2,1]
[4,5,1,2,7,3,8,6] => [2,3,2,1]
[4,1,5,7,2,3,8,6] => [1,3,3,1]
[4,5,1,7,2,3,8,6] => [2,2,3,1]
[4,5,7,1,2,3,8,6] => [3,4,1]
[4,1,5,2,7,8,3,6] => [1,2,3,2]
[4,5,1,2,7,8,3,6] => [2,4,2]
[4,1,5,7,2,8,3,6] => [1,3,2,2]
[4,5,1,7,2,8,3,6] => [2,2,2,2]
[4,5,7,1,2,8,3,6] => [3,3,2]
[4,1,5,7,8,2,3,6] => [1,4,3]
[4,5,1,7,8,2,3,6] => [2,3,3]
[4,5,7,1,8,2,3,6] => [3,2,3]
[4,5,7,8,1,2,3,6] => [4,4]
[4,1,5,2,7,3,6,8] => [1,2,2,3]
[4,5,1,2,7,3,6,8] => [2,3,3]
[4,1,5,7,2,3,6,8] => [1,3,4]
[4,5,1,7,2,3,6,8] => [2,2,4]
[4,5,7,1,2,3,6,8] => [3,5]
[4,1,5,2,3,7,6,8] => [1,2,3,2]
[4,5,1,2,3,7,6,8] => [2,4,2]
[4,1,2,5,3,7,6,8] => [1,3,2,2]
[1,4,2,5,3,7,6,8] => [2,2,2,2]
[1,4,5,2,3,7,6,8] => [3,3,2]
[4,1,2,5,7,3,6,8] => [1,4,3]
[1,4,2,5,7,3,6,8] => [2,3,3]
[1,4,5,2,7,3,6,8] => [3,2,3]
[1,4,5,7,2,3,6,8] => [4,4]
[4,1,5,2,3,7,8,6] => [1,2,4,1]
[4,5,1,2,3,7,8,6] => [2,5,1]
[4,1,2,5,3,7,8,6] => [1,3,3,1]
[1,4,2,5,3,7,8,6] => [2,2,3,1]
[1,4,5,2,3,7,8,6] => [3,4,1]
[4,1,2,5,7,3,8,6] => [1,4,2,1]
[1,4,2,5,7,3,8,6] => [2,3,2,1]
[1,4,5,2,7,3,8,6] => [3,2,2,1]
[1,4,5,7,2,3,8,6] => [4,3,1]
[4,1,2,5,7,8,3,6] => [1,5,2]
[1,4,2,5,7,8,3,6] => [2,4,2]
[1,4,5,2,7,8,3,6] => [3,3,2]
[1,4,5,7,2,8,3,6] => [4,2,2]
[1,4,5,7,8,2,3,6] => [5,3]
[4,1,5,2,8,3,6,7] => [1,2,2,3]
[4,5,1,2,8,3,6,7] => [2,3,3]
[4,1,5,8,2,3,6,7] => [1,3,4]
[4,5,1,8,2,3,6,7] => [2,2,4]
[4,5,8,1,2,3,6,7] => [3,5]
[4,1,5,2,3,8,6,7] => [1,2,3,2]
[4,5,1,2,3,8,6,7] => [2,4,2]
[4,1,2,5,3,8,6,7] => [1,3,2,2]
[1,4,2,5,3,8,6,7] => [2,2,2,2]
[1,4,5,2,3,8,6,7] => [3,3,2]
[4,1,2,5,8,3,6,7] => [1,4,3]
[1,4,2,5,8,3,6,7] => [2,3,3]
[1,4,5,2,8,3,6,7] => [3,2,3]
[1,4,5,8,2,3,6,7] => [4,4]
[4,1,5,2,3,6,8,7] => [1,2,4,1]
[4,5,1,2,3,6,8,7] => [2,5,1]
[1,4,2,5,3,6,8,7] => [2,2,3,1]
[4,1,2,5,6,3,8,7] => [1,4,2,1]
[1,4,2,5,6,3,8,7] => [2,3,2,1]
[1,4,5,2,6,3,8,7] => [3,2,2,1]
[1,4,5,6,2,3,8,7] => [4,3,1]
[4,1,2,5,6,8,3,7] => [1,5,2]
[1,4,2,5,6,8,3,7] => [2,4,2]
[1,4,5,2,6,8,3,7] => [3,3,2]
[1,4,5,6,2,8,3,7] => [4,2,2]
[1,4,5,6,8,2,3,7] => [5,3]
[4,1,5,2,3,6,7,8] => [1,2,5]
[4,1,2,5,3,6,7,8] => [1,3,4]
[1,4,2,5,3,6,7,8] => [2,2,4]
[1,4,5,2,3,6,7,8] => [3,5]
[4,1,2,5,6,3,7,8] => [1,4,3]
[1,4,2,5,6,3,7,8] => [2,3,3]
[1,4,5,2,6,3,7,8] => [3,2,3]
[1,4,5,6,2,3,7,8] => [4,4]
[4,1,2,5,6,7,3,8] => [1,5,2]
[1,4,2,5,6,7,3,8] => [2,4,2]
[1,4,5,2,6,7,3,8] => [3,3,2]
[1,4,5,6,2,7,3,8] => [4,2,2]
[1,4,5,6,7,2,3,8] => [5,3]
[4,1,2,5,6,7,8,3] => [1,6,1]
[1,4,2,5,6,7,8,3] => [2,5,1]
[1,4,5,2,6,7,8,3] => [3,4,1]
[1,4,5,6,2,7,8,3] => [4,3,1]
[1,4,5,6,7,2,8,3] => [5,2,1]
[1,4,5,6,7,8,2,3] => [6,2]
[4,1,6,2,7,3,8,5] => [1,2,2,2,1]
[4,6,1,2,7,3,8,5] => [2,3,2,1]
[4,1,6,7,2,3,8,5] => [1,3,3,1]
[4,6,1,7,2,3,8,5] => [2,2,3,1]
[4,6,7,1,2,3,8,5] => [3,4,1]
[4,1,6,2,7,8,3,5] => [1,2,3,2]
[4,6,1,2,7,8,3,5] => [2,4,2]
[4,1,6,7,2,8,3,5] => [1,3,2,2]
[4,6,1,7,2,8,3,5] => [2,2,2,2]
[4,6,7,1,2,8,3,5] => [3,3,2]
[4,1,6,7,8,2,3,5] => [1,4,3]
[4,6,1,7,8,2,3,5] => [2,3,3]
[4,6,7,1,8,2,3,5] => [3,2,3]
[4,6,7,8,1,2,3,5] => [4,4]
[4,1,6,2,7,3,5,8] => [1,2,2,3]
[4,6,1,2,7,3,5,8] => [2,3,3]
[4,1,6,7,2,3,5,8] => [1,3,4]
[4,6,1,7,2,3,5,8] => [2,2,4]
[4,6,7,1,2,3,5,8] => [3,5]
[4,1,6,2,3,7,5,8] => [1,2,3,2]
[4,6,1,2,3,7,5,8] => [2,4,2]
[4,1,2,6,3,7,5,8] => [1,3,2,2]
[1,4,2,6,3,7,5,8] => [2,2,2,2]
[1,4,6,2,3,7,5,8] => [3,3,2]
[4,1,2,6,7,3,5,8] => [1,4,3]
[1,4,2,6,7,3,5,8] => [2,3,3]
[1,4,6,2,7,3,5,8] => [3,2,3]
[1,4,6,7,2,3,5,8] => [4,4]
[4,1,6,2,3,7,8,5] => [1,2,4,1]
[4,6,1,2,3,7,8,5] => [2,5,1]
[4,1,2,6,3,7,8,5] => [1,3,3,1]
[1,4,2,6,3,7,8,5] => [2,2,3,1]
[1,4,6,2,3,7,8,5] => [3,4,1]
[4,1,2,6,7,3,8,5] => [1,4,2,1]
[1,4,2,6,7,3,8,5] => [2,3,2,1]
[1,4,6,2,7,3,8,5] => [3,2,2,1]
[1,4,6,7,2,3,8,5] => [4,3,1]
[1,4,2,6,7,8,3,5] => [2,4,2]
[1,4,6,2,7,8,3,5] => [3,3,2]
[1,4,6,7,2,8,3,5] => [4,2,2]
[1,4,6,7,8,2,3,5] => [5,3]
[4,1,6,2,8,3,5,7] => [1,2,2,3]
[4,6,1,2,8,3,5,7] => [2,3,3]
[4,1,6,8,2,3,5,7] => [1,3,4]
[4,6,1,8,2,3,5,7] => [2,2,4]
[4,6,8,1,2,3,5,7] => [3,5]
[4,1,6,2,3,8,5,7] => [1,2,3,2]
[4,6,1,2,3,8,5,7] => [2,4,2]
[4,1,2,6,3,8,5,7] => [1,3,2,2]
[1,4,2,6,3,8,5,7] => [2,2,2,2]
[1,4,6,2,3,8,5,7] => [3,3,2]
[4,1,2,6,8,3,5,7] => [1,4,3]
[1,4,2,6,8,3,5,7] => [2,3,3]
[1,4,6,2,8,3,5,7] => [3,2,3]
[1,4,6,8,2,3,5,7] => [4,4]
[4,1,6,2,3,5,8,7] => [1,2,4,1]
[4,6,1,2,3,5,8,7] => [2,5,1]
[4,1,2,6,3,5,8,7] => [1,3,3,1]
[1,4,2,6,3,5,8,7] => [2,2,3,1]
[1,4,6,2,3,5,8,7] => [3,4,1]
[4,1,2,3,6,5,8,7] => [1,4,2,1]
[1,4,2,3,6,5,8,7] => [2,3,2,1]
[1,2,4,6,3,5,8,7] => [4,3,1]
[4,1,2,3,6,8,5,7] => [1,5,2]
[1,4,2,3,6,8,5,7] => [2,4,2]
[1,2,4,3,6,8,5,7] => [3,3,2]
[1,2,4,6,3,8,5,7] => [4,2,2]
[1,2,4,6,8,3,5,7] => [5,3]
[4,1,6,2,3,5,7,8] => [1,2,5]
[4,6,1,2,3,5,7,8] => [2,6]
[4,1,2,6,3,5,7,8] => [1,3,4]
[1,4,2,6,3,5,7,8] => [2,2,4]
[1,4,6,2,3,5,7,8] => [3,5]
[4,1,2,3,6,5,7,8] => [1,4,3]
[1,4,2,3,6,5,7,8] => [2,3,3]
[1,2,4,6,3,5,7,8] => [4,4]
[4,1,2,3,6,7,5,8] => [1,5,2]
[1,4,2,3,6,7,5,8] => [2,4,2]
[1,2,4,6,3,7,5,8] => [4,2,2]
[1,2,4,6,7,3,5,8] => [5,3]
[4,1,2,3,6,7,8,5] => [1,6,1]
[1,4,2,3,6,7,8,5] => [2,5,1]
[1,2,4,6,3,7,8,5] => [4,3,1]
[1,2,4,6,7,3,8,5] => [5,2,1]
[1,2,4,6,7,8,3,5] => [6,2]
[4,1,7,2,8,3,5,6] => [1,2,2,3]
[4,7,1,2,8,3,5,6] => [2,3,3]
[4,1,7,8,2,3,5,6] => [1,3,4]
[4,7,1,8,2,3,5,6] => [2,2,4]
[4,7,8,1,2,3,5,6] => [3,5]
[4,1,7,2,3,8,5,6] => [1,2,3,2]
[4,7,1,2,3,8,5,6] => [2,4,2]
[4,1,2,7,3,8,5,6] => [1,3,2,2]
[1,4,2,7,3,8,5,6] => [2,2,2,2]
[1,4,7,2,3,8,5,6] => [3,3,2]
[4,1,2,7,8,3,5,6] => [1,4,3]
[1,4,2,7,8,3,5,6] => [2,3,3]
[1,4,7,2,8,3,5,6] => [3,2,3]
[1,4,7,8,2,3,5,6] => [4,4]
[4,1,7,2,3,5,8,6] => [1,2,4,1]
[4,7,1,2,3,5,8,6] => [2,5,1]
[4,1,2,7,3,5,8,6] => [1,3,3,1]
[1,4,2,7,3,5,8,6] => [2,2,3,1]
[1,4,7,2,3,5,8,6] => [3,4,1]
[4,1,2,3,7,5,8,6] => [1,4,2,1]
[1,4,2,3,7,5,8,6] => [2,3,2,1]
[1,2,4,3,7,5,8,6] => [3,2,2,1]
[1,2,4,7,3,5,8,6] => [4,3,1]
[4,1,2,3,7,8,5,6] => [1,5,2]
[1,4,2,3,7,8,5,6] => [2,4,2]
[1,2,4,3,7,8,5,6] => [3,3,2]
[1,2,4,7,3,8,5,6] => [4,2,2]
[1,2,4,7,8,3,5,6] => [5,3]
[4,1,7,2,3,5,6,8] => [1,2,5]
[4,7,1,2,3,5,6,8] => [2,6]
[4,1,2,7,3,5,6,8] => [1,3,4]
[1,4,2,7,3,5,6,8] => [2,2,4]
[1,4,7,2,3,5,6,8] => [3,5]
[4,1,2,3,7,5,6,8] => [1,4,3]
[1,4,2,3,7,5,6,8] => [2,3,3]
[1,2,4,3,7,5,6,8] => [3,2,3]
[1,2,4,7,3,5,6,8] => [4,4]
[4,1,2,3,5,7,6,8] => [1,5,2]
[1,4,2,3,5,7,6,8] => [2,4,2]
[1,2,4,5,7,3,6,8] => [5,3]
[4,1,2,3,5,7,8,6] => [1,6,1]
[1,4,2,3,5,7,8,6] => [2,5,1]
[1,2,4,5,7,3,8,6] => [5,2,1]
[1,2,4,5,7,8,3,6] => [6,2]
[4,1,8,2,3,5,6,7] => [1,2,5]
[4,8,1,2,3,5,6,7] => [2,6]
[4,1,2,8,3,5,6,7] => [1,3,4]
[1,4,2,8,3,5,6,7] => [2,2,4]
[1,4,8,2,3,5,6,7] => [3,5]
[4,1,2,3,8,5,6,7] => [1,4,3]
[1,4,2,3,8,5,6,7] => [2,3,3]
[1,2,4,3,8,5,6,7] => [3,2,3]
[1,2,4,8,3,5,6,7] => [4,4]
[4,1,2,3,5,8,6,7] => [1,5,2]
[1,4,2,3,5,8,6,7] => [2,4,2]
[1,2,4,3,5,8,6,7] => [3,3,2]
[1,2,4,5,3,8,6,7] => [4,2,2]
[1,2,4,5,8,3,6,7] => [5,3]
[4,1,2,3,5,6,8,7] => [1,6,1]
[1,4,2,3,5,6,8,7] => [2,5,1]
[1,2,4,5,6,8,3,7] => [6,2]
[1,4,2,3,5,6,7,8] => [2,6]
[5,1,6,2,7,3,8,4] => [1,2,2,2,1]
[5,6,1,2,7,3,8,4] => [2,3,2,1]
[5,1,6,7,2,3,8,4] => [1,3,3,1]
[5,6,1,7,2,3,8,4] => [2,2,3,1]
[5,6,7,1,2,3,8,4] => [3,4,1]
[5,1,6,2,7,8,3,4] => [1,2,3,2]
[5,6,1,2,7,8,3,4] => [2,4,2]
[5,1,6,7,2,8,3,4] => [1,3,2,2]
[5,6,1,7,2,8,3,4] => [2,2,2,2]
[5,6,7,1,2,8,3,4] => [3,3,2]
[5,1,6,7,8,2,3,4] => [1,4,3]
[5,6,1,7,8,2,3,4] => [2,3,3]
[5,6,7,1,8,2,3,4] => [3,2,3]
[5,1,6,2,7,3,4,8] => [1,2,2,3]
[5,6,1,2,7,3,4,8] => [2,3,3]
[5,1,6,7,2,3,4,8] => [1,3,4]
[5,6,1,7,2,3,4,8] => [2,2,4]
[5,1,6,2,3,7,4,8] => [1,2,3,2]
[5,6,1,2,3,7,4,8] => [2,4,2]
[5,1,2,6,3,7,4,8] => [1,3,2,2]
[1,5,2,6,3,7,4,8] => [2,2,2,2]
[1,5,6,2,3,7,4,8] => [3,3,2]
[5,1,2,6,7,3,4,8] => [1,4,3]
[1,5,2,6,7,3,4,8] => [2,3,3]
[1,5,6,2,7,3,4,8] => [3,2,3]
[1,5,6,7,2,3,4,8] => [4,4]
[5,1,6,2,3,7,8,4] => [1,2,4,1]
[5,6,1,2,3,7,8,4] => [2,5,1]
[5,1,2,6,3,7,8,4] => [1,3,3,1]
[1,5,2,6,3,7,8,4] => [2,2,3,1]
[1,5,6,2,3,7,8,4] => [3,4,1]
[5,1,2,6,7,3,8,4] => [1,4,2,1]
[1,5,2,6,7,3,8,4] => [2,3,2,1]
[1,5,6,2,7,3,8,4] => [3,2,2,1]
[1,5,6,7,2,3,8,4] => [4,3,1]
[5,1,2,6,7,8,3,4] => [1,5,2]
[1,5,2,6,7,8,3,4] => [2,4,2]
[1,5,6,2,7,8,3,4] => [3,3,2]
[1,5,6,7,2,8,3,4] => [4,2,2]
[1,5,6,7,8,2,3,4] => [5,3]
[5,1,6,2,8,3,4,7] => [1,2,2,3]
[5,6,1,2,8,3,4,7] => [2,3,3]
[5,1,6,8,2,3,4,7] => [1,3,4]
[5,6,1,8,2,3,4,7] => [2,2,4]
[5,6,8,1,2,3,4,7] => [3,5]
[5,1,6,2,3,8,4,7] => [1,2,3,2]
[5,6,1,2,3,8,4,7] => [2,4,2]
[5,1,2,6,3,8,4,7] => [1,3,2,2]
[1,5,2,6,3,8,4,7] => [2,2,2,2]
[1,5,6,2,3,8,4,7] => [3,3,2]
[5,1,2,6,8,3,4,7] => [1,4,3]
[1,5,2,6,8,3,4,7] => [2,3,3]
[1,5,6,2,8,3,4,7] => [3,2,3]
[1,5,6,8,2,3,4,7] => [4,4]
[5,1,6,2,3,4,8,7] => [1,2,4,1]
[5,6,1,2,3,4,8,7] => [2,5,1]
[5,1,2,6,3,4,8,7] => [1,3,3,1]
[1,5,2,6,3,4,8,7] => [2,2,3,1]
[1,5,6,2,3,4,8,7] => [3,4,1]
[5,1,2,3,6,4,8,7] => [1,4,2,1]
[1,5,2,3,6,4,8,7] => [2,3,2,1]
[1,2,5,3,6,4,8,7] => [3,2,2,1]
[1,2,5,6,3,4,8,7] => [4,3,1]
[5,1,2,3,6,8,4,7] => [1,5,2]
[1,5,2,3,6,8,4,7] => [2,4,2]
[1,2,5,3,6,8,4,7] => [3,3,2]
[1,2,5,6,3,8,4,7] => [4,2,2]
[1,2,5,6,8,3,4,7] => [5,3]
[5,1,6,2,3,4,7,8] => [1,2,5]
[5,1,2,6,3,4,7,8] => [1,3,4]
[1,5,2,6,3,4,7,8] => [2,2,4]
[1,5,6,2,3,4,7,8] => [3,5]
[5,1,2,3,6,4,7,8] => [1,4,3]
[1,5,2,3,6,4,7,8] => [2,3,3]
[1,2,5,3,6,4,7,8] => [3,2,3]
[1,2,5,6,3,4,7,8] => [4,4]
[5,1,2,3,6,7,4,8] => [1,5,2]
[1,5,2,3,6,7,4,8] => [2,4,2]
[1,2,5,3,6,7,4,8] => [3,3,2]
[1,2,5,6,3,7,4,8] => [4,2,2]
[1,2,5,6,7,3,4,8] => [5,3]
[5,1,2,3,6,7,8,4] => [1,6,1]
[1,5,2,3,6,7,8,4] => [2,5,1]
[1,2,5,3,6,7,8,4] => [3,4,1]
[1,2,5,6,3,7,8,4] => [4,3,1]
[1,2,5,6,7,3,8,4] => [5,2,1]
[1,2,5,6,7,8,3,4] => [6,2]
[5,1,7,2,8,3,4,6] => [1,2,2,3]
[5,7,1,2,8,3,4,6] => [2,3,3]
[5,1,7,8,2,3,4,6] => [1,3,4]
[5,7,1,8,2,3,4,6] => [2,2,4]
[5,7,8,1,2,3,4,6] => [3,5]
[5,1,7,2,3,8,4,6] => [1,2,3,2]
[5,7,1,2,3,8,4,6] => [2,4,2]
[5,1,2,7,3,8,4,6] => [1,3,2,2]
[1,5,2,7,3,8,4,6] => [2,2,2,2]
[1,5,7,2,3,8,4,6] => [3,3,2]
[5,1,2,7,8,3,4,6] => [1,4,3]
[1,5,2,7,8,3,4,6] => [2,3,3]
[1,5,7,2,8,3,4,6] => [3,2,3]
[1,5,7,8,2,3,4,6] => [4,4]
[5,1,7,2,3,4,8,6] => [1,2,4,1]
[5,7,1,2,3,4,8,6] => [2,5,1]
[5,1,2,7,3,4,8,6] => [1,3,3,1]
[1,5,2,7,3,4,8,6] => [2,2,3,1]
[1,5,7,2,3,4,8,6] => [3,4,1]
[5,1,2,3,7,4,8,6] => [1,4,2,1]
[1,5,2,3,7,4,8,6] => [2,3,2,1]
[1,2,5,3,7,4,8,6] => [3,2,2,1]
[1,2,5,7,3,4,8,6] => [4,3,1]
[5,1,2,3,7,8,4,6] => [1,5,2]
[1,5,2,3,7,8,4,6] => [2,4,2]
[1,2,5,3,7,8,4,6] => [3,3,2]
[1,2,5,7,3,8,4,6] => [4,2,2]
[1,2,5,7,8,3,4,6] => [5,3]
[5,1,7,2,3,4,6,8] => [1,2,5]
[5,7,1,2,3,4,6,8] => [2,6]
[5,1,2,7,3,4,6,8] => [1,3,4]
[1,5,2,7,3,4,6,8] => [2,2,4]
[1,5,7,2,3,4,6,8] => [3,5]
[5,1,2,3,7,4,6,8] => [1,4,3]
[1,5,2,3,7,4,6,8] => [2,3,3]
[1,2,5,3,7,4,6,8] => [3,2,3]
[1,2,5,7,3,4,6,8] => [4,4]
[5,1,2,3,4,7,6,8] => [1,5,2]
[1,5,2,3,4,7,6,8] => [2,4,2]
[1,2,5,3,4,7,6,8] => [3,3,2]
[1,2,3,5,7,4,6,8] => [5,3]
[5,1,2,3,4,7,8,6] => [1,6,1]
[1,5,2,3,4,7,8,6] => [2,5,1]
[1,2,5,3,4,7,8,6] => [3,4,1]
[1,2,3,5,7,4,8,6] => [5,2,1]
[1,2,3,5,7,8,4,6] => [6,2]
[5,1,8,2,3,4,6,7] => [1,2,5]
[5,8,1,2,3,4,6,7] => [2,6]
[5,1,2,8,3,4,6,7] => [1,3,4]
[1,5,2,8,3,4,6,7] => [2,2,4]
[1,5,8,2,3,4,6,7] => [3,5]
[5,1,2,3,8,4,6,7] => [1,4,3]
[1,5,2,3,8,4,6,7] => [2,3,3]
[1,2,5,3,8,4,6,7] => [3,2,3]
[1,2,5,8,3,4,6,7] => [4,4]
[5,1,2,3,4,8,6,7] => [1,5,2]
[1,5,2,3,4,8,6,7] => [2,4,2]
[1,2,5,3,4,8,6,7] => [3,3,2]
[1,2,3,5,4,8,6,7] => [4,2,2]
[1,2,3,5,8,4,6,7] => [5,3]
[5,1,2,3,4,6,8,7] => [1,6,1]
[1,5,2,3,4,6,8,7] => [2,5,1]
[1,2,5,3,4,6,8,7] => [3,4,1]
[1,2,3,5,6,8,4,7] => [6,2]
[1,5,2,3,4,6,7,8] => [2,6]
[1,2,5,3,4,6,7,8] => [3,5]
[6,1,7,2,8,3,4,5] => [1,2,2,3]
[6,7,1,2,8,3,4,5] => [2,3,3]
[6,1,7,8,2,3,4,5] => [1,3,4]
[6,7,1,8,2,3,4,5] => [2,2,4]
[6,1,7,2,3,8,4,5] => [1,2,3,2]
[6,7,1,2,3,8,4,5] => [2,4,2]
[6,1,2,7,3,8,4,5] => [1,3,2,2]
[1,6,2,7,3,8,4,5] => [2,2,2,2]
[1,6,7,2,3,8,4,5] => [3,3,2]
[6,1,2,7,8,3,4,5] => [1,4,3]
[1,6,2,7,8,3,4,5] => [2,3,3]
[1,6,7,2,8,3,4,5] => [3,2,3]
[1,6,7,8,2,3,4,5] => [4,4]
[6,1,7,2,3,4,8,5] => [1,2,4,1]
[6,7,1,2,3,4,8,5] => [2,5,1]
[6,1,2,7,3,4,8,5] => [1,3,3,1]
[1,6,2,7,3,4,8,5] => [2,2,3,1]
[1,6,7,2,3,4,8,5] => [3,4,1]
[6,1,2,3,7,4,8,5] => [1,4,2,1]
[1,6,2,3,7,4,8,5] => [2,3,2,1]
[1,2,6,3,7,4,8,5] => [3,2,2,1]
[1,2,6,7,3,4,8,5] => [4,3,1]
[6,1,2,3,7,8,4,5] => [1,5,2]
[1,6,2,3,7,8,4,5] => [2,4,2]
[1,2,6,3,7,8,4,5] => [3,3,2]
[1,2,6,7,3,8,4,5] => [4,2,2]
[1,2,6,7,8,3,4,5] => [5,3]
[6,1,7,2,3,4,5,8] => [1,2,5]
[6,1,2,7,3,4,5,8] => [1,3,4]
[1,6,2,7,3,4,5,8] => [2,2,4]
[1,6,7,2,3,4,5,8] => [3,5]
[6,1,2,3,7,4,5,8] => [1,4,3]
[1,6,2,3,7,4,5,8] => [2,3,3]
[1,2,6,3,7,4,5,8] => [3,2,3]
[1,2,6,7,3,4,5,8] => [4,4]
[6,1,2,3,4,7,5,8] => [1,5,2]
[1,6,2,3,4,7,5,8] => [2,4,2]
[1,2,6,3,4,7,5,8] => [3,3,2]
[1,2,3,6,4,7,5,8] => [4,2,2]
[1,2,3,6,7,4,5,8] => [5,3]
[6,1,2,3,4,7,8,5] => [1,6,1]
[1,6,2,3,4,7,8,5] => [2,5,1]
[1,2,6,3,4,7,8,5] => [3,4,1]
[1,2,3,6,4,7,8,5] => [4,3,1]
[1,2,3,6,7,4,8,5] => [5,2,1]
[1,2,3,6,7,8,4,5] => [6,2]
[6,1,8,2,3,4,5,7] => [1,2,5]
[6,8,1,2,3,4,5,7] => [2,6]
[6,1,2,8,3,4,5,7] => [1,3,4]
[1,6,2,8,3,4,5,7] => [2,2,4]
[1,6,8,2,3,4,5,7] => [3,5]
[6,1,2,3,8,4,5,7] => [1,4,3]
[1,6,2,3,8,4,5,7] => [2,3,3]
[1,2,6,3,8,4,5,7] => [3,2,3]
[1,2,6,8,3,4,5,7] => [4,4]
[6,1,2,3,4,8,5,7] => [1,5,2]
[1,6,2,3,4,8,5,7] => [2,4,2]
[1,2,6,3,4,8,5,7] => [3,3,2]
[1,2,3,6,4,8,5,7] => [4,2,2]
[1,2,3,6,8,4,5,7] => [5,3]
[6,1,2,3,4,5,8,7] => [1,6,1]
[1,6,2,3,4,5,8,7] => [2,5,1]
[1,2,6,3,4,5,8,7] => [3,4,1]
[1,2,3,6,4,5,8,7] => [4,3,1]
[1,2,3,4,6,8,5,7] => [6,2]
[1,6,2,3,4,5,7,8] => [2,6]
[1,2,6,3,4,5,7,8] => [3,5]
[1,2,3,6,4,5,7,8] => [4,4]
[7,1,8,2,3,4,5,6] => [1,2,5]
[7,1,2,8,3,4,5,6] => [1,3,4]
[1,7,2,8,3,4,5,6] => [2,2,4]
[1,7,8,2,3,4,5,6] => [3,5]
[7,1,2,3,8,4,5,6] => [1,4,3]
[1,7,2,3,8,4,5,6] => [2,3,3]
[1,2,7,3,8,4,5,6] => [3,2,3]
[1,2,7,8,3,4,5,6] => [4,4]
[7,1,2,3,4,8,5,6] => [1,5,2]
[1,7,2,3,4,8,5,6] => [2,4,2]
[1,2,7,3,4,8,5,6] => [3,3,2]
[1,2,3,7,4,8,5,6] => [4,2,2]
[1,2,3,7,8,4,5,6] => [5,3]
[7,1,2,3,4,5,8,6] => [1,6,1]
[1,7,2,3,4,5,8,6] => [2,5,1]
[1,2,7,3,4,5,8,6] => [3,4,1]
[1,2,3,7,4,5,8,6] => [4,3,1]
[1,2,3,4,7,5,8,6] => [5,2,1]
[1,2,3,4,7,8,5,6] => [6,2]
[1,7,2,3,4,5,6,8] => [2,6]
[1,2,7,3,4,5,6,8] => [3,5]
[1,2,3,7,4,5,6,8] => [4,4]
[1,2,3,4,7,5,6,8] => [5,3]
[1,8,2,3,4,5,6,7] => [2,6]
[1,2,8,3,4,5,6,7] => [3,5]
[1,2,3,8,4,5,6,7] => [4,4]
[1,2,3,4,8,5,6,7] => [5,3]
[1,2,3,4,5,8,6,7] => [6,2]
[5,3,2,6,1,4,8,7] => [1,1,2,3,1]
[7,3,2,5,4,8,1,6] => [1,1,2,2,2]
[8,4,5,2,3,7,6,1] => [1,2,3,1,1]
[7,4,5,2,3,8,1,6] => [1,2,3,2]
[6,4,5,2,3,1,8,7] => [1,2,2,2,1]
[5,4,6,2,1,3,8,7] => [1,2,1,3,1]
[3,6,1,5,4,2,8,7] => [2,2,1,2,1]
[4,6,5,1,3,2,8,7] => [2,1,2,2,1]
[5,6,4,3,1,2,8,7] => [2,1,1,3,1]
[7,5,4,3,2,8,1,6] => [1,1,1,1,2,2]
[8,6,4,3,7,2,5,1] => [1,1,1,2,2,1]
[7,6,4,3,8,2,1,5] => [1,1,1,2,1,2]
[6,7,4,3,8,1,2,5] => [2,1,2,3]
[5,7,4,3,1,8,2,6] => [2,1,1,2,2]
[4,7,5,1,3,8,2,6] => [2,1,3,2]
[3,7,1,5,4,8,2,6] => [2,2,2,2]
[2,1,7,5,4,8,3,6] => [1,2,1,2,2]
[3,8,1,5,4,7,6,2] => [2,2,2,1,1]
[4,8,5,1,3,7,6,2] => [2,1,3,1,1]
[5,8,4,3,1,7,6,2] => [2,1,1,2,1,1]
[6,8,4,3,7,1,5,2] => [2,1,2,2,1]
[7,8,4,3,6,5,1,2] => [2,1,2,1,2]
[6,8,5,7,3,1,4,2] => [2,2,1,2,1]
[5,8,6,7,1,3,4,2] => [2,2,3,1]
[4,8,6,1,7,3,5,2] => [2,1,2,2,1]
[3,8,1,6,7,4,5,2] => [2,3,2,1]
[2,1,8,6,7,4,5,3] => [1,2,2,2,1]
[2,1,7,6,8,4,3,5] => [1,2,2,1,2]
[3,7,1,6,8,4,2,5] => [2,3,1,2]
[4,7,6,1,8,3,2,5] => [2,1,2,1,2]
[5,7,6,8,1,3,2,4] => [2,2,2,2]
[5,4,7,2,1,8,3,6] => [1,2,1,2,2]
[6,4,7,2,8,1,3,5] => [1,2,2,3]
[7,4,6,2,8,3,1,5] => [1,2,2,1,2]
[8,4,6,2,7,3,5,1] => [1,2,2,2,1]
[8,3,2,6,7,4,5,1] => [1,1,3,2,1]
[7,3,2,6,8,4,1,5] => [1,1,3,1,2]
[6,3,2,7,8,1,4,5] => [1,1,3,3]
[5,3,2,7,1,8,4,6] => [1,1,2,2,2]
[4,3,2,1,7,8,5,6] => [1,1,1,3,2]
[3,4,1,2,8,7,6,5] => [2,3,1,1,1]
[5,3,2,8,1,7,6,4] => [1,1,2,2,1,1]
[6,3,2,8,7,1,5,4] => [1,1,2,1,2,1]
[7,3,2,8,6,5,1,4] => [1,1,2,1,1,2]
[8,4,7,2,6,5,3,1] => [1,2,2,1,1,1]
[7,4,8,2,6,5,1,3] => [1,2,2,1,2]
[6,4,8,2,7,1,5,3] => [1,2,2,2,1]
[5,4,8,2,1,7,6,3] => [1,2,1,2,1,1]
[4,5,8,1,2,7,6,3] => [3,3,1,1]
[3,5,1,8,2,7,6,4] => [2,2,2,1,1]
[2,1,5,8,3,7,6,4] => [1,3,2,1,1]
[2,1,6,8,7,3,5,4] => [1,3,1,2,1]
[3,6,1,8,7,2,5,4] => [2,2,1,2,1]
[4,6,8,1,7,2,5,3] => [3,2,2,1]
[5,6,8,7,1,2,4,3] => [3,1,3,1]
[6,5,8,7,2,1,4,3] => [1,2,1,1,2,1]
[7,5,8,6,2,4,1,3] => [1,2,1,2,2]
[8,5,7,6,2,4,3,1] => [1,2,1,2,1,1]
[5,7,8,6,1,4,2,3] => [3,1,2,2]
[4,7,8,1,6,5,2,3] => [3,2,1,2]
[3,7,1,8,6,5,2,4] => [2,2,1,1,2]
[2,1,7,8,6,5,3,4] => [1,3,1,1,2]
[3,8,1,7,6,5,4,2] => [2,2,1,1,1,1]
[4,8,7,1,6,5,3,2] => [2,1,2,1,1,1]
[5,8,7,6,1,4,3,2] => [2,1,1,2,1,1]
[6,8,7,5,4,1,3,2] => [2,1,1,1,2,1]
[3,2,5,1,4,6,7,8] => [1,2,5]
[4,2,5,1,3,6,7,8] => [1,2,5]
[5,2,4,1,3,6,7,8] => [1,2,5]
[3,2,6,1,4,5,7,8] => [1,2,5]
[4,2,6,1,3,5,7,8] => [1,2,5]
[5,2,6,1,3,4,7,8] => [1,2,5]
[5,3,6,1,2,4,7,8] => [1,2,5]
[6,2,4,1,3,5,7,8] => [1,2,5]
[6,3,5,1,2,4,7,8] => [1,2,5]
[3,2,7,1,4,5,6,8] => [1,2,5]
[4,2,7,1,3,5,6,8] => [1,2,5]
[5,2,7,1,3,4,6,8] => [1,2,5]
[5,3,7,1,2,4,6,8] => [1,2,5]
[5,4,7,1,2,3,6,8] => [1,2,5]
[6,2,7,1,3,4,5,8] => [1,2,5]
[6,3,7,1,2,4,5,8] => [1,2,5]
[6,4,7,1,2,3,5,8] => [1,2,5]
[7,2,5,1,3,4,6,8] => [1,2,5]
[7,3,5,1,2,4,6,8] => [1,2,5]
[7,3,6,1,2,4,5,8] => [1,2,5]
[7,4,6,1,2,3,5,8] => [1,2,5]
[3,2,8,1,4,5,6,7] => [1,2,5]
[4,2,8,1,3,5,6,7] => [1,2,5]
[4,3,8,1,2,5,6,7] => [1,2,5]
[5,2,8,1,3,4,6,7] => [1,2,5]
[5,3,8,1,2,4,6,7] => [1,2,5]
[5,4,8,1,2,3,6,7] => [1,2,5]
[6,2,8,1,3,4,5,7] => [1,2,5]
[6,3,8,1,2,4,5,7] => [1,2,5]
[6,4,8,1,2,3,5,7] => [1,2,5]
[6,5,8,1,2,3,4,7] => [1,2,5]
[7,2,8,1,3,4,5,6] => [1,2,5]
[7,3,8,1,2,4,5,6] => [1,2,5]
[7,4,8,1,2,3,5,6] => [1,2,5]
[7,5,8,1,2,3,4,6] => [1,2,5]
[8,2,4,1,3,5,6,7] => [1,2,5]
[8,3,5,1,2,4,6,7] => [1,2,5]
[8,2,6,1,3,4,5,7] => [1,2,5]
[8,3,6,1,2,4,5,7] => [1,2,5]
[8,4,6,1,2,3,5,7] => [1,2,5]
[8,2,7,1,3,4,5,6] => [1,2,5]
[8,3,7,1,2,4,5,6] => [1,2,5]
[8,4,7,1,2,3,5,6] => [1,2,5]
[8,5,7,1,2,3,4,6] => [1,2,5]
[3,2,5,7,1,4,6,8] => [1,3,4]
[4,2,5,7,1,3,6,8] => [1,3,4]
[4,3,5,7,1,2,6,8] => [1,3,4]
[5,2,4,7,1,3,6,8] => [1,3,4]
[5,3,4,7,1,2,6,8] => [1,3,4]
[3,2,6,7,1,4,5,8] => [1,3,4]
[4,2,6,7,1,3,5,8] => [1,3,4]
[4,3,6,7,1,2,5,8] => [1,3,4]
[5,2,6,7,1,3,4,8] => [1,3,4]
[5,3,6,7,1,2,4,8] => [1,3,4]
[6,2,4,7,1,3,5,8] => [1,3,4]
[6,3,4,7,1,2,5,8] => [1,3,4]
[6,2,5,7,1,3,4,8] => [1,3,4]
[6,3,5,7,1,2,4,8] => [1,3,4]
[7,2,4,6,1,3,5,8] => [1,3,4]
[7,3,4,6,1,2,5,8] => [1,3,4]
[7,2,5,6,1,3,4,8] => [1,3,4]
[7,3,5,6,1,2,4,8] => [1,3,4]
[3,2,5,8,1,4,6,7] => [1,3,4]
[4,2,5,8,1,3,6,7] => [1,3,4]
[4,3,5,8,1,2,6,7] => [1,3,4]
[5,2,4,8,1,3,6,7] => [1,3,4]
[5,3,4,8,1,2,6,7] => [1,3,4]
[3,2,6,8,1,4,5,7] => [1,3,4]
[4,2,6,8,1,3,5,7] => [1,3,4]
[4,3,6,8,1,2,5,7] => [1,3,4]
[5,2,6,8,1,3,4,7] => [1,3,4]
[5,3,6,8,1,2,4,7] => [1,3,4]
[5,4,6,8,1,2,3,7] => [1,3,4]
[6,2,4,8,1,3,5,7] => [1,3,4]
[6,3,4,8,1,2,5,7] => [1,3,4]
[6,2,5,8,1,3,4,7] => [1,3,4]
[6,3,5,8,1,2,4,7] => [1,3,4]
[6,4,5,8,1,2,3,7] => [1,3,4]
[3,2,7,8,1,4,5,6] => [1,3,4]
[4,2,7,8,1,3,5,6] => [1,3,4]
[4,3,7,8,1,2,5,6] => [1,3,4]
[5,2,7,8,1,3,4,6] => [1,3,4]
[5,3,7,8,1,2,4,6] => [1,3,4]
[5,4,7,8,1,2,3,6] => [1,3,4]
[6,2,7,8,1,3,4,5] => [1,3,4]
[6,3,7,8,1,2,4,5] => [1,3,4]
[6,4,7,8,1,2,3,5] => [1,3,4]
[7,2,4,8,1,3,5,6] => [1,3,4]
[7,3,4,8,1,2,5,6] => [1,3,4]
[7,2,5,8,1,3,4,6] => [1,3,4]
[7,3,5,8,1,2,4,6] => [1,3,4]
[7,4,5,8,1,2,3,6] => [1,3,4]
[7,2,6,8,1,3,4,5] => [1,3,4]
[7,3,6,8,1,2,4,5] => [1,3,4]
[7,4,6,8,1,2,3,5] => [1,3,4]
[8,2,4,6,1,3,5,7] => [1,3,4]
[8,3,4,6,1,2,5,7] => [1,3,4]
[8,2,5,6,1,3,4,7] => [1,3,4]
[8,3,5,6,1,2,4,7] => [1,3,4]
[8,2,4,7,1,3,5,6] => [1,3,4]
[8,2,5,7,1,3,4,6] => [1,3,4]
[8,3,5,7,1,2,4,6] => [1,3,4]
[8,4,5,7,1,2,3,6] => [1,3,4]
[8,2,6,7,1,3,4,5] => [1,3,4]
[8,4,6,7,1,2,3,5] => [1,3,4]
[3,6,2,5,1,4,7,8] => [2,2,4]
[4,6,2,5,1,3,7,8] => [2,2,4]
[4,6,3,5,1,2,7,8] => [2,2,4]
[5,6,2,4,1,3,7,8] => [2,2,4]
[3,7,2,5,1,4,6,8] => [2,2,4]
[4,7,2,5,1,3,6,8] => [2,2,4]
[4,7,3,5,1,2,6,8] => [2,2,4]
[5,7,2,4,1,3,6,8] => [2,2,4]
[5,7,3,4,1,2,6,8] => [2,2,4]
[3,7,2,6,1,4,5,8] => [2,2,4]
[4,7,2,6,1,3,5,8] => [2,2,4]
[4,7,3,6,1,2,5,8] => [2,2,4]
[5,7,2,6,1,3,4,8] => [2,2,4]
[5,7,3,6,1,2,4,8] => [2,2,4]
[5,7,4,6,1,2,3,8] => [2,2,4]
[6,7,2,4,1,3,5,8] => [2,2,4]
[6,7,2,5,1,3,4,8] => [2,2,4]
[6,7,3,5,1,2,4,8] => [2,2,4]
[3,8,2,5,1,4,6,7] => [2,2,4]
[4,8,2,5,1,3,6,7] => [2,2,4]
[4,8,3,5,1,2,6,7] => [2,2,4]
[5,8,2,4,1,3,6,7] => [2,2,4]
[5,8,3,4,1,2,6,7] => [2,2,4]
[3,8,2,6,1,4,5,7] => [2,2,4]
[4,8,2,6,1,3,5,7] => [2,2,4]
[5,8,2,6,1,3,4,7] => [2,2,4]
[5,8,3,6,1,2,4,7] => [2,2,4]
[5,8,4,6,1,2,3,7] => [2,2,4]
[6,8,2,4,1,3,5,7] => [2,2,4]
[6,8,3,4,1,2,5,7] => [2,2,4]
[6,8,3,5,1,2,4,7] => [2,2,4]
[6,8,4,5,1,2,3,7] => [2,2,4]
[3,8,2,7,1,4,5,6] => [2,2,4]
[4,8,2,7,1,3,5,6] => [2,2,4]
[4,8,3,7,1,2,5,6] => [2,2,4]
[5,8,2,7,1,3,4,6] => [2,2,4]
[5,8,3,7,1,2,4,6] => [2,2,4]
[5,8,4,7,1,2,3,6] => [2,2,4]
[6,8,2,7,1,3,4,5] => [2,2,4]
[6,8,3,7,1,2,4,5] => [2,2,4]
[6,8,4,7,1,2,3,5] => [2,2,4]
[6,8,5,7,1,2,3,4] => [2,2,4]
[7,8,2,4,1,3,5,6] => [2,2,4]
[7,8,2,5,1,3,4,6] => [2,2,4]
[7,8,3,5,1,2,4,6] => [2,2,4]
[7,8,2,6,1,3,4,5] => [2,2,4]
[7,8,4,6,1,2,3,5] => [2,2,4]
[4,3,2,6,1,5,7,8] => [1,1,2,4]
[5,3,2,6,1,4,7,8] => [1,1,2,4]
[5,4,2,6,1,3,7,8] => [1,1,2,4]
[6,3,2,5,1,4,7,8] => [1,1,2,4]
[6,4,2,5,1,3,7,8] => [1,1,2,4]
[6,5,2,4,1,3,7,8] => [1,1,2,4]
[4,3,2,7,1,5,6,8] => [1,1,2,4]
[5,3,2,7,1,4,6,8] => [1,1,2,4]
[5,4,2,7,1,3,6,8] => [1,1,2,4]
[5,4,3,7,1,2,6,8] => [1,1,2,4]
[6,3,2,7,1,4,5,8] => [1,1,2,4]
[6,4,2,7,1,3,5,8] => [1,1,2,4]
[6,4,3,7,1,2,5,8] => [1,1,2,4]
[6,5,2,7,1,3,4,8] => [1,1,2,4]
[6,5,3,7,1,2,4,8] => [1,1,2,4]
[7,3,2,5,1,4,6,8] => [1,1,2,4]
[7,4,2,5,1,3,6,8] => [1,1,2,4]
[7,5,2,4,1,3,6,8] => [1,1,2,4]
[7,3,2,6,1,4,5,8] => [1,1,2,4]
[7,4,2,6,1,3,5,8] => [1,1,2,4]
[7,4,3,6,1,2,5,8] => [1,1,2,4]
[7,5,2,6,1,3,4,8] => [1,1,2,4]
[7,5,3,6,1,2,4,8] => [1,1,2,4]
[7,6,3,5,1,2,4,8] => [1,1,2,4]
[4,3,2,8,1,5,6,7] => [1,1,2,4]
[5,3,2,8,1,4,6,7] => [1,1,2,4]
[5,4,2,8,1,3,6,7] => [1,1,2,4]
[5,4,3,8,1,2,6,7] => [1,1,2,4]
[6,3,2,8,1,4,5,7] => [1,1,2,4]
[6,4,2,8,1,3,5,7] => [1,1,2,4]
[6,4,3,8,1,2,5,7] => [1,1,2,4]
[6,5,2,8,1,3,4,7] => [1,1,2,4]
[6,5,3,8,1,2,4,7] => [1,1,2,4]
[6,5,4,8,1,2,3,7] => [1,1,2,4]
[7,3,2,8,1,4,5,6] => [1,1,2,4]
[7,4,2,8,1,3,5,6] => [1,1,2,4]
[7,4,3,8,1,2,5,6] => [1,1,2,4]
[7,5,3,8,1,2,4,6] => [1,1,2,4]
[7,5,4,8,1,2,3,6] => [1,1,2,4]
[7,6,2,8,1,3,4,5] => [1,1,2,4]
[7,6,4,8,1,2,3,5] => [1,1,2,4]
[8,3,2,5,1,4,6,7] => [1,1,2,4]
[8,4,2,5,1,3,6,7] => [1,1,2,4]
[8,5,2,4,1,3,6,7] => [1,1,2,4]
[8,3,2,6,1,4,5,7] => [1,1,2,4]
[8,4,2,6,1,3,5,7] => [1,1,2,4]
[8,5,3,6,1,2,4,7] => [1,1,2,4]
[8,6,2,4,1,3,5,7] => [1,1,2,4]
[8,6,2,5,1,3,4,7] => [1,1,2,4]
[8,6,3,5,1,2,4,7] => [1,1,2,4]
[8,3,2,7,1,4,5,6] => [1,1,2,4]
[8,4,2,7,1,3,5,6] => [1,1,2,4]
[8,4,3,7,1,2,5,6] => [1,1,2,4]
[8,5,2,7,1,3,4,6] => [1,1,2,4]
[8,5,3,7,1,2,4,6] => [1,1,2,4]
[8,5,4,7,1,2,3,6] => [1,1,2,4]
[8,6,2,7,1,3,4,5] => [1,1,2,4]
[8,6,3,7,1,2,4,5] => [1,1,2,4]
[8,6,4,7,1,2,3,5] => [1,1,2,4]
[8,7,2,4,1,3,5,6] => [1,1,2,4]
[8,7,2,5,1,3,4,6] => [1,1,2,4]
[8,7,3,5,1,2,4,6] => [1,1,2,4]
[8,7,2,6,1,3,4,5] => [1,1,2,4]
[8,7,3,6,1,2,4,5] => [1,1,2,4]
[8,7,4,6,1,2,3,5] => [1,1,2,4]
[3,6,2,5,8,1,4,7] => [2,3,3]
[4,6,2,5,8,1,3,7] => [2,3,3]
[4,6,3,5,8,1,2,7] => [2,3,3]
[5,6,2,4,8,1,3,7] => [2,3,3]
[5,6,3,4,8,1,2,7] => [2,3,3]
[3,7,2,5,8,1,4,6] => [2,3,3]
[4,7,2,5,8,1,3,6] => [2,3,3]
[4,7,3,5,8,1,2,6] => [2,3,3]
[5,7,2,4,8,1,3,6] => [2,3,3]
[5,7,3,4,8,1,2,6] => [2,3,3]
[3,7,2,6,8,1,4,5] => [2,3,3]
[4,7,2,6,8,1,3,5] => [2,3,3]
[4,7,3,6,8,1,2,5] => [2,3,3]
[5,7,2,6,8,1,3,4] => [2,3,3]
[5,7,3,6,8,1,2,4] => [2,3,3]
[5,7,4,6,8,1,2,3] => [2,3,3]
[6,7,2,4,8,1,3,5] => [2,3,3]
[6,7,3,4,8,1,2,5] => [2,3,3]
[6,7,3,5,8,1,2,4] => [2,3,3]
[3,8,2,5,7,1,4,6] => [2,3,3]
[4,8,2,5,7,1,3,6] => [2,3,3]
[4,8,3,5,7,1,2,6] => [2,3,3]
[5,8,2,4,7,1,3,6] => [2,3,3]
[3,8,2,6,7,1,4,5] => [2,3,3]
[4,8,2,6,7,1,3,5] => [2,3,3]
[4,8,3,6,7,1,2,5] => [2,3,3]
[5,8,2,6,7,1,3,4] => [2,3,3]
[5,8,3,6,7,1,2,4] => [2,3,3]
[6,8,2,4,7,1,3,5] => [2,3,3]
[6,8,2,5,7,1,3,4] => [2,3,3]
[6,8,3,5,7,1,2,4] => [2,3,3]
[6,8,4,5,7,1,2,3] => [2,3,3]
[7,8,2,4,6,1,3,5] => [2,3,3]
[7,8,3,4,6,1,2,5] => [2,3,3]
[7,8,2,5,6,1,3,4] => [2,3,3]
[7,8,3,5,6,1,2,4] => [2,3,3]
[4,3,2,6,8,1,5,7] => [1,1,3,3]
[5,3,2,6,8,1,4,7] => [1,1,3,3]
[5,4,2,6,8,1,3,7] => [1,1,3,3]
[5,4,3,6,8,1,2,7] => [1,1,3,3]
[6,3,2,5,8,1,4,7] => [1,1,3,3]
[6,4,2,5,8,1,3,7] => [1,1,3,3]
[6,4,3,5,8,1,2,7] => [1,1,3,3]
[6,5,2,4,8,1,3,7] => [1,1,3,3]
[6,5,3,4,8,1,2,7] => [1,1,3,3]
[4,3,2,7,8,1,5,6] => [1,1,3,3]
[5,3,2,7,8,1,4,6] => [1,1,3,3]
[5,4,2,7,8,1,3,6] => [1,1,3,3]
[5,4,3,7,8,1,2,6] => [1,1,3,3]
[6,4,2,7,8,1,3,5] => [1,1,3,3]
[6,4,3,7,8,1,2,5] => [1,1,3,3]
[6,5,2,7,8,1,3,4] => [1,1,3,3]
[6,5,3,7,8,1,2,4] => [1,1,3,3]
[7,3,2,5,8,1,4,6] => [1,1,3,3]
[7,4,2,5,8,1,3,6] => [1,1,3,3]
[7,4,3,5,8,1,2,6] => [1,1,3,3]
[7,5,2,4,8,1,3,6] => [1,1,3,3]
[7,5,3,4,8,1,2,6] => [1,1,3,3]
[7,3,2,6,8,1,4,5] => [1,1,3,3]
[7,4,2,6,8,1,3,5] => [1,1,3,3]
[7,4,3,6,8,1,2,5] => [1,1,3,3]
[7,5,2,6,8,1,3,4] => [1,1,3,3]
[7,5,3,6,8,1,2,4] => [1,1,3,3]
[7,6,2,4,8,1,3,5] => [1,1,3,3]
[7,6,3,4,8,1,2,5] => [1,1,3,3]
[7,6,2,5,8,1,3,4] => [1,1,3,3]
[7,6,3,5,8,1,2,4] => [1,1,3,3]
[8,3,2,5,7,1,4,6] => [1,1,3,3]
[8,4,2,5,7,1,3,6] => [1,1,3,3]
[8,4,3,5,7,1,2,6] => [1,1,3,3]
[8,5,2,4,7,1,3,6] => [1,1,3,3]
[8,5,3,4,7,1,2,6] => [1,1,3,3]
[8,3,2,6,7,1,4,5] => [1,1,3,3]
[8,4,2,6,7,1,3,5] => [1,1,3,3]
[8,4,3,6,7,1,2,5] => [1,1,3,3]
[8,5,2,6,7,1,3,4] => [1,1,3,3]
[8,5,3,6,7,1,2,4] => [1,1,3,3]
[8,6,2,4,7,1,3,5] => [1,1,3,3]
[8,6,3,4,7,1,2,5] => [1,1,3,3]
[8,6,2,5,7,1,3,4] => [1,1,3,3]
[8,6,3,5,7,1,2,4] => [1,1,3,3]
[8,7,2,4,6,1,3,5] => [1,1,3,3]
[8,7,3,4,6,1,2,5] => [1,1,3,3]
[8,7,2,5,6,1,3,4] => [1,1,3,3]
[8,7,3,5,6,1,2,4] => [1,1,3,3]
[4,3,7,2,6,1,5,8] => [1,2,2,3]
[5,3,7,2,6,1,4,8] => [1,2,2,3]
[5,4,7,2,6,1,3,8] => [1,2,2,3]
[5,4,7,3,6,1,2,8] => [1,2,2,3]
[6,3,7,2,5,1,4,8] => [1,2,2,3]
[6,4,7,2,5,1,3,8] => [1,2,2,3]
[6,4,7,3,5,1,2,8] => [1,2,2,3]
[6,5,7,2,4,1,3,8] => [1,2,2,3]
[7,3,6,2,5,1,4,8] => [1,2,2,3]
[7,4,6,2,5,1,3,8] => [1,2,2,3]
[7,4,6,3,5,1,2,8] => [1,2,2,3]
[7,5,6,2,4,1,3,8] => [1,2,2,3]
[4,3,8,2,6,1,5,7] => [1,2,2,3]
[5,3,8,2,6,1,4,7] => [1,2,2,3]
[5,4,8,2,6,1,3,7] => [1,2,2,3]
[5,4,8,3,6,1,2,7] => [1,2,2,3]
[6,3,8,2,5,1,4,7] => [1,2,2,3]
[6,4,8,2,5,1,3,7] => [1,2,2,3]
[6,4,8,3,5,1,2,7] => [1,2,2,3]
[6,5,8,2,4,1,3,7] => [1,2,2,3]
[6,5,8,3,4,1,2,7] => [1,2,2,3]
[4,3,8,2,7,1,5,6] => [1,2,2,3]
[5,3,8,2,7,1,4,6] => [1,2,2,3]
[5,4,8,2,7,1,3,6] => [1,2,2,3]
[5,4,8,3,7,1,2,6] => [1,2,2,3]
[6,3,8,2,7,1,4,5] => [1,2,2,3]
[6,4,8,2,7,1,3,5] => [1,2,2,3]
[6,4,8,3,7,1,2,5] => [1,2,2,3]
[6,5,8,2,7,1,3,4] => [1,2,2,3]
[6,5,8,3,7,1,2,4] => [1,2,2,3]
[6,5,8,4,7,1,2,3] => [1,2,2,3]
[7,3,8,2,5,1,4,6] => [1,2,2,3]
[7,4,8,2,5,1,3,6] => [1,2,2,3]
[7,4,8,3,5,1,2,6] => [1,2,2,3]
[7,5,8,2,4,1,3,6] => [1,2,2,3]
[7,5,8,3,4,1,2,6] => [1,2,2,3]
[7,3,8,2,6,1,4,5] => [1,2,2,3]
[7,4,8,2,6,1,3,5] => [1,2,2,3]
[7,4,8,3,6,1,2,5] => [1,2,2,3]
[7,5,8,2,6,1,3,4] => [1,2,2,3]
[7,5,8,3,6,1,2,4] => [1,2,2,3]
[7,5,8,4,6,1,2,3] => [1,2,2,3]
[7,6,8,2,4,1,3,5] => [1,2,2,3]
[7,6,8,2,5,1,3,4] => [1,2,2,3]
[7,6,8,3,5,1,2,4] => [1,2,2,3]
[8,3,6,2,5,1,4,7] => [1,2,2,3]
[8,4,6,2,5,1,3,7] => [1,2,2,3]
[8,4,6,3,5,1,2,7] => [1,2,2,3]
[8,5,6,2,4,1,3,7] => [1,2,2,3]
[8,3,7,2,5,1,4,6] => [1,2,2,3]
[8,4,7,3,5,1,2,6] => [1,2,2,3]
[8,5,7,2,4,1,3,6] => [1,2,2,3]
[8,3,7,2,6,1,4,5] => [1,2,2,3]
[8,4,7,2,6,1,3,5] => [1,2,2,3]
[8,4,7,3,6,1,2,5] => [1,2,2,3]
[8,5,7,2,6,1,3,4] => [1,2,2,3]
[8,6,7,2,4,1,3,5] => [1,2,2,3]
[8,6,7,2,5,1,3,4] => [1,2,2,3]
[8,6,7,3,5,1,2,4] => [1,2,2,3]
[5,4,3,2,7,1,6,8] => [1,1,1,2,3]
[6,4,3,2,7,1,5,8] => [1,1,1,2,3]
[6,5,3,2,7,1,4,8] => [1,1,1,2,3]
[6,5,4,2,7,1,3,8] => [1,1,1,2,3]
[7,5,3,2,6,1,4,8] => [1,1,1,2,3]
[7,5,4,2,6,1,3,8] => [1,1,1,2,3]
[7,6,3,2,5,1,4,8] => [1,1,1,2,3]
[7,6,4,2,5,1,3,8] => [1,1,1,2,3]
[7,6,5,2,4,1,3,8] => [1,1,1,2,3]
[5,4,3,2,8,1,6,7] => [1,1,1,2,3]
[6,5,3,2,8,1,4,7] => [1,1,1,2,3]
[6,5,4,2,8,1,3,7] => [1,1,1,2,3]
[6,5,4,3,8,1,2,7] => [1,1,1,2,3]
[7,4,3,2,8,1,5,6] => [1,1,1,2,3]
[7,5,3,2,8,1,4,6] => [1,1,1,2,3]
[7,5,4,2,8,1,3,6] => [1,1,1,2,3]
[7,5,4,3,8,1,2,6] => [1,1,1,2,3]
[7,6,3,2,8,1,4,5] => [1,1,1,2,3]
[7,6,4,3,8,1,2,5] => [1,1,1,2,3]
[7,6,5,2,8,1,3,4] => [1,1,1,2,3]
[7,6,5,3,8,1,2,4] => [1,1,1,2,3]
[8,5,3,2,6,1,4,7] => [1,1,1,2,3]
[8,5,4,2,6,1,3,7] => [1,1,1,2,3]
[8,6,4,2,5,1,3,7] => [1,1,1,2,3]
[8,6,5,2,4,1,3,7] => [1,1,1,2,3]
[8,5,3,2,7,1,4,6] => [1,1,1,2,3]
[8,6,3,2,7,1,4,5] => [1,1,1,2,3]
[8,6,4,2,7,1,3,5] => [1,1,1,2,3]
[8,6,4,3,7,1,2,5] => [1,1,1,2,3]
[8,6,5,2,7,1,3,4] => [1,1,1,2,3]
[8,6,5,3,7,1,2,4] => [1,1,1,2,3]
[8,7,4,2,5,1,3,6] => [1,1,1,2,3]
[8,7,5,2,4,1,3,6] => [1,1,1,2,3]
[8,7,3,2,6,1,4,5] => [1,1,1,2,3]
[8,7,4,2,6,1,3,5] => [1,1,1,2,3]
[8,7,4,3,6,1,2,5] => [1,1,1,2,3]
[8,7,5,2,6,1,3,4] => [1,1,1,2,3]
[8,7,5,3,6,1,2,4] => [1,1,1,2,3]
[8,7,6,2,4,1,3,5] => [1,1,1,2,3]
[8,7,6,2,5,1,3,4] => [1,1,1,2,3]
[8,7,6,3,5,1,2,4] => [1,1,1,2,3]
[4,8,3,7,2,6,1,5] => [2,2,2,2]
[5,8,3,7,2,6,1,4] => [2,2,2,2]
[5,8,4,7,2,6,1,3] => [2,2,2,2]
[5,8,4,7,3,6,1,2] => [2,2,2,2]
[6,8,3,7,2,5,1,4] => [2,2,2,2]
[6,8,4,7,2,5,1,3] => [2,2,2,2]
[6,8,4,7,3,5,1,2] => [2,2,2,2]
[6,8,5,7,2,4,1,3] => [2,2,2,2]
[6,8,5,7,3,4,1,2] => [2,2,2,2]
[7,8,3,6,2,5,1,4] => [2,2,2,2]
[7,8,4,6,2,5,1,3] => [2,2,2,2]
[7,8,4,6,3,5,1,2] => [2,2,2,2]
[7,8,5,6,2,4,1,3] => [2,2,2,2]
[5,4,3,8,2,7,1,6] => [1,1,2,2,2]
[6,4,3,8,2,7,1,5] => [1,1,2,2,2]
[6,5,3,8,2,7,1,4] => [1,1,2,2,2]
[6,5,4,8,2,7,1,3] => [1,1,2,2,2]
[6,5,4,8,3,7,1,2] => [1,1,2,2,2]
[7,4,3,8,2,6,1,5] => [1,1,2,2,2]
[7,5,3,8,2,6,1,4] => [1,1,2,2,2]
[7,5,4,8,2,6,1,3] => [1,1,2,2,2]
[7,5,4,8,3,6,1,2] => [1,1,2,2,2]
[7,6,3,8,2,5,1,4] => [1,1,2,2,2]
[7,6,4,8,2,5,1,3] => [1,1,2,2,2]
[7,6,4,8,3,5,1,2] => [1,1,2,2,2]
[7,6,5,8,2,4,1,3] => [1,1,2,2,2]
[8,4,3,7,2,6,1,5] => [1,1,2,2,2]
[8,5,3,7,2,6,1,4] => [1,1,2,2,2]
[8,5,4,7,2,6,1,3] => [1,1,2,2,2]
[8,5,4,7,3,6,1,2] => [1,1,2,2,2]
[8,6,3,7,2,5,1,4] => [1,1,2,2,2]
[8,6,4,7,2,5,1,3] => [1,1,2,2,2]
[8,6,4,7,3,5,1,2] => [1,1,2,2,2]
[8,6,5,7,2,4,1,3] => [1,1,2,2,2]
[8,7,3,6,2,5,1,4] => [1,1,2,2,2]
[8,7,4,6,2,5,1,3] => [1,1,2,2,2]
[8,7,4,6,3,5,1,2] => [1,1,2,2,2]
[8,7,5,6,2,4,1,3] => [1,1,2,2,2]
[6,5,4,3,2,8,1,7] => [1,1,1,1,2,2]
[7,6,4,3,2,8,1,5] => [1,1,1,1,2,2]
[7,6,5,3,2,8,1,4] => [1,1,1,1,2,2]
[7,6,5,4,2,8,1,3] => [1,1,1,1,2,2]
[8,5,4,3,2,7,1,6] => [1,1,1,1,2,2]
[8,6,4,3,2,7,1,5] => [1,1,1,1,2,2]
[8,6,5,3,2,7,1,4] => [1,1,1,1,2,2]
[8,6,5,4,2,7,1,3] => [1,1,1,1,2,2]
[8,7,4,3,2,6,1,5] => [1,1,1,1,2,2]
[8,7,5,3,2,6,1,4] => [1,1,1,1,2,2]
[8,7,5,4,2,6,1,3] => [1,1,1,1,2,2]
[8,7,6,3,2,5,1,4] => [1,1,1,1,2,2]
[8,7,6,4,2,5,1,3] => [1,1,1,1,2,2]
[8,7,6,5,2,4,1,3] => [1,1,1,1,2,2]
[8,1,2,3,4,7,5,6] => [1,5,2]
[8,1,2,3,6,4,5,7] => [1,4,3]
[8,1,2,3,7,4,5,6] => [1,4,3]
[7,1,2,3,6,4,8,5] => [1,4,2,1]
[5,1,2,3,8,7,4,6] => [1,4,1,2]
[8,1,2,3,6,7,4,5] => [1,5,2]
[4,1,2,8,3,7,5,6] => [1,3,2,2]
[8,1,2,5,3,4,6,7] => [1,3,4]
[7,1,2,5,3,4,8,6] => [1,3,3,1]
[8,1,2,6,3,4,5,7] => [1,3,4]
[7,1,2,6,3,4,8,5] => [1,3,3,1]
[6,1,2,5,3,8,4,7] => [1,3,2,2]
[8,1,2,5,3,7,4,6] => [1,3,2,2]
[8,1,2,6,3,7,4,5] => [1,3,2,2]
[6,1,2,5,3,7,8,4] => [1,3,3,1]
[4,1,2,8,6,3,5,7] => [1,3,1,3]
[4,1,2,8,7,3,5,6] => [1,3,1,3]
[4,1,2,7,6,3,8,5] => [1,3,1,2,1]
[8,1,2,5,6,3,4,7] => [1,4,3]
[8,1,2,5,7,3,4,6] => [1,4,3]
[8,1,2,7,6,3,4,5] => [1,3,1,3]
[7,1,2,5,6,3,8,4] => [1,4,2,1]
[4,1,2,5,8,7,3,6] => [1,4,1,2]
[4,1,2,8,6,7,3,5] => [1,3,2,2]
[8,1,2,5,6,7,3,4] => [1,5,2]
[3,1,8,2,4,7,5,6] => [1,2,3,2]
[3,1,8,2,6,4,5,7] => [1,2,2,3]
[3,1,8,2,7,4,5,6] => [1,2,2,3]
[3,1,7,2,6,4,8,5] => [1,2,2,2,1]
[3,1,5,2,8,7,4,6] => [1,2,2,1,2]
[3,1,8,2,6,7,4,5] => [1,2,3,2]
[8,1,4,2,3,5,6,7] => [1,2,5]
[7,1,4,2,3,5,8,6] => [1,2,4,1]
[6,1,4,2,3,8,5,7] => [1,2,3,2]
[8,1,4,2,3,7,5,6] => [1,2,3,2]
[6,1,4,2,3,7,8,5] => [1,2,4,1]
[8,1,5,2,3,4,6,7] => [1,2,5]
[7,1,5,2,3,4,8,6] => [1,2,4,1]
[8,1,7,2,3,4,5,6] => [1,2,5]
[6,1,5,2,3,8,4,7] => [1,2,3,2]
[8,1,5,2,3,7,4,6] => [1,2,3,2]
[6,1,8,2,3,7,4,5] => [1,2,3,2]
[6,1,5,2,3,7,8,4] => [1,2,4,1]
[5,1,4,2,8,3,6,7] => [1,2,2,3]
[5,1,4,2,7,3,8,6] => [1,2,2,2,1]
[8,1,4,2,6,3,5,7] => [1,2,2,3]
[8,1,4,2,7,3,5,6] => [1,2,2,3]
[7,1,4,2,6,3,8,5] => [1,2,2,2,1]
[8,1,5,2,6,3,4,7] => [1,2,2,3]
[8,1,5,2,7,3,4,6] => [1,2,2,3]
[7,1,8,2,6,3,4,5] => [1,2,2,3]
[7,1,5,2,6,3,8,4] => [1,2,2,2,1]
[5,1,4,2,6,8,3,7] => [1,2,3,2]
[5,1,4,2,8,7,3,6] => [1,2,2,1,2]
[8,1,4,2,6,7,3,5] => [1,2,3,2]
[8,1,5,2,6,7,3,4] => [1,2,3,2]
[5,1,4,2,6,7,8,3] => [1,2,4,1]
[3,1,4,8,2,7,5,6] => [1,3,2,2]
[3,1,8,5,2,4,6,7] => [1,2,1,4]
[3,1,7,5,2,4,8,6] => [1,2,1,3,1]
[3,1,8,6,2,4,5,7] => [1,2,1,4]
[3,1,7,6,2,4,8,5] => [1,2,1,3,1]
[3,1,6,5,2,8,4,7] => [1,2,1,2,2]
[3,1,8,5,2,7,4,6] => [1,2,1,2,2]
[3,1,8,6,2,7,4,5] => [1,2,1,2,2]
[3,1,6,5,2,7,8,4] => [1,2,1,3,1]
[8,1,4,5,2,3,6,7] => [1,3,4]
[7,1,4,5,2,3,8,6] => [1,3,3,1]
[8,1,4,6,2,3,5,7] => [1,3,4]
[7,1,4,8,2,3,5,6] => [1,3,4]
[7,1,4,6,2,3,8,5] => [1,3,3,1]
[8,1,6,5,2,3,4,7] => [1,2,1,4]
[7,1,8,5,2,3,4,6] => [1,2,1,4]
[7,1,8,6,2,3,4,5] => [1,2,1,4]
[7,1,6,5,2,3,8,4] => [1,2,1,3,1]
[6,1,4,5,2,8,3,7] => [1,3,2,2]
[8,1,4,5,2,7,3,6] => [1,3,2,2]
[8,1,4,6,2,7,3,5] => [1,3,2,2]
[8,1,6,5,2,7,3,4] => [1,2,1,2,2]
[6,1,4,5,2,7,8,3] => [1,3,3,1]
[3,1,4,8,6,2,5,7] => [1,3,1,3]
[3,1,4,8,7,2,5,6] => [1,3,1,3]
[3,1,4,7,6,2,8,5] => [1,3,1,2,1]
[3,1,8,5,6,2,4,7] => [1,2,2,3]
[3,1,8,5,7,2,4,6] => [1,2,2,3]
[3,1,8,7,6,2,4,5] => [1,2,1,1,3]
[3,1,7,5,6,2,8,4] => [1,2,2,2,1]
[8,1,4,5,6,2,3,7] => [1,4,3]
[8,1,4,5,7,2,3,6] => [1,4,3]
[8,1,4,7,6,2,3,5] => [1,3,1,3]
[8,1,7,5,6,2,3,4] => [1,2,2,3]
[7,1,4,5,6,2,8,3] => [1,4,2,1]
[3,1,4,5,8,7,2,6] => [1,4,1,2]
[3,1,4,8,6,7,2,5] => [1,3,2,2]
[3,1,8,5,6,7,2,4] => [1,2,3,2]
[8,1,4,5,6,7,2,3] => [1,5,2]
[2,8,1,3,4,7,5,6] => [2,4,2]
[2,8,1,3,6,4,5,7] => [2,3,3]
[2,8,1,3,7,4,5,6] => [2,3,3]
[2,7,1,3,6,4,8,5] => [2,3,2,1]
[2,5,1,3,8,7,4,6] => [2,3,1,2]
[2,8,1,3,6,7,4,5] => [2,4,2]
[2,4,1,8,3,7,5,6] => [2,2,2,2]
[2,8,1,5,3,4,6,7] => [2,2,4]
[2,7,1,5,3,4,8,6] => [2,2,3,1]
[2,8,1,6,3,4,5,7] => [2,2,4]
[2,7,1,6,3,4,8,5] => [2,2,3,1]
[2,6,1,5,3,8,4,7] => [2,2,2,2]
[2,8,1,5,3,7,4,6] => [2,2,2,2]
[2,8,1,6,3,7,4,5] => [2,2,2,2]
[2,6,1,5,3,7,8,4] => [2,2,3,1]
[2,4,1,8,6,3,5,7] => [2,2,1,3]
[2,4,1,8,7,3,5,6] => [2,2,1,3]
[2,4,1,7,6,3,8,5] => [2,2,1,2,1]
[2,8,1,5,6,3,4,7] => [2,3,3]
[2,8,1,5,7,3,4,6] => [2,3,3]
[2,8,1,7,6,3,4,5] => [2,2,1,3]
[2,7,1,5,6,3,8,4] => [2,3,2,1]
[2,4,1,5,8,7,3,6] => [2,3,1,2]
[2,4,1,8,6,7,3,5] => [2,2,2,2]
[2,8,1,5,6,7,3,4] => [2,4,2]
[7,3,1,2,4,5,8,6] => [1,1,5,1]
[6,3,1,2,4,8,5,7] => [1,1,4,2]
[8,3,1,2,4,7,5,6] => [1,1,4,2]
[6,3,1,2,4,7,8,5] => [1,1,5,1]
[5,3,1,2,8,4,6,7] => [1,1,3,3]
[5,3,1,2,7,4,8,6] => [1,1,3,2,1]
[8,3,1,2,6,4,5,7] => [1,1,3,3]
[8,3,1,2,7,4,5,6] => [1,1,3,3]
[7,3,1,2,6,4,8,5] => [1,1,3,2,1]
[5,3,1,2,6,8,4,7] => [1,1,4,2]
[5,3,1,2,8,7,4,6] => [1,1,3,1,2]
[8,3,1,2,6,7,4,5] => [1,1,4,2]
[5,3,1,2,6,7,8,4] => [1,1,5,1]
[7,4,1,2,3,5,8,6] => [1,1,5,1]
[6,4,1,2,3,8,5,7] => [1,1,4,2]
[8,4,1,2,3,7,5,6] => [1,1,4,2]
[6,4,1,2,3,7,8,5] => [1,1,5,1]
[7,6,1,2,3,4,8,5] => [1,1,5,1]
[5,8,1,2,3,7,4,6] => [2,4,2]
[8,6,1,2,3,7,4,5] => [1,1,4,2]
[5,4,1,2,8,3,6,7] => [1,1,3,3]
[5,4,1,2,7,3,8,6] => [1,1,3,2,1]
[8,4,1,2,6,3,5,7] => [1,1,3,3]
[8,4,1,2,7,3,5,6] => [1,1,3,3]
[7,4,1,2,6,3,8,5] => [1,1,3,2,1]
[5,8,1,2,6,3,4,7] => [2,3,3]
[5,8,1,2,7,3,4,6] => [2,3,3]
[8,7,1,2,6,3,4,5] => [1,1,3,3]
[5,7,1,2,6,3,8,4] => [2,3,2,1]
[5,4,1,2,6,8,3,7] => [1,1,4,2]
[5,4,1,2,8,7,3,6] => [1,1,3,1,2]
[8,4,1,2,6,7,3,5] => [1,1,4,2]
[5,8,1,2,6,7,3,4] => [2,4,2]
[5,4,1,2,6,7,8,3] => [1,1,5,1]
[4,3,1,8,2,5,6,7] => [1,1,2,4]
[4,3,1,7,2,5,8,6] => [1,1,2,3,1]
[4,3,1,6,2,8,5,7] => [1,1,2,2,2]
[4,3,1,8,2,7,5,6] => [1,1,2,2,2]
[4,3,1,6,2,7,8,5] => [1,1,2,3,1]
[8,3,1,5,2,4,6,7] => [1,1,2,4]
[7,3,1,5,2,4,8,6] => [1,1,2,3,1]
[8,3,1,6,2,4,5,7] => [1,1,2,4]
[7,3,1,8,2,4,5,6] => [1,1,2,4]
[7,3,1,6,2,4,8,5] => [1,1,2,3,1]
[6,3,1,5,2,8,4,7] => [1,1,2,2,2]
[8,3,1,5,2,7,4,6] => [1,1,2,2,2]
[8,3,1,6,2,7,4,5] => [1,1,2,2,2]
[6,3,1,5,2,7,8,4] => [1,1,2,3,1]
[8,4,1,5,2,3,6,7] => [1,1,2,4]
[7,4,1,5,2,3,8,6] => [1,1,2,3,1]
[8,4,1,6,2,3,5,7] => [1,1,2,4]
[7,4,1,8,2,3,5,6] => [1,1,2,4]
[7,4,1,6,2,3,8,5] => [1,1,2,3,1]
[6,8,1,5,2,3,4,7] => [2,2,4]
[8,7,1,5,2,3,4,6] => [1,1,2,4]
[8,7,1,6,2,3,4,5] => [1,1,2,4]
[6,7,1,5,2,3,8,4] => [2,2,3,1]
[6,4,1,5,2,8,3,7] => [1,1,2,2,2]
[8,4,1,5,2,7,3,6] => [1,1,2,2,2]
[8,4,1,6,2,7,3,5] => [1,1,2,2,2]
[6,8,1,5,2,7,3,4] => [2,2,2,2]
[6,4,1,5,2,7,8,3] => [1,1,2,3,1]
[4,3,1,5,8,2,6,7] => [1,1,3,3]
[4,3,1,5,7,2,8,6] => [1,1,3,2,1]
[4,3,1,8,6,2,5,7] => [1,1,2,1,3]
[4,3,1,8,7,2,5,6] => [1,1,2,1,3]
[4,3,1,7,6,2,8,5] => [1,1,2,1,2,1]
[8,3,1,5,6,2,4,7] => [1,1,3,3]
[8,3,1,5,7,2,4,6] => [1,1,3,3]
[8,3,1,7,6,2,4,5] => [1,1,2,1,3]
[7,3,1,5,6,2,8,4] => [1,1,3,2,1]
[8,4,1,5,6,2,3,7] => [1,1,3,3]
[8,4,1,5,7,2,3,6] => [1,1,3,3]
[8,4,1,7,6,2,3,5] => [1,1,2,1,3]
[7,8,1,5,6,2,3,4] => [2,3,3]
[7,4,1,5,6,2,8,3] => [1,1,3,2,1]
[4,3,1,5,6,8,2,7] => [1,1,4,2]
[4,3,1,5,8,7,2,6] => [1,1,3,1,2]
[4,3,1,8,6,7,2,5] => [1,1,2,2,2]
[8,3,1,5,6,7,2,4] => [1,1,4,2]
[8,4,1,5,6,7,2,3] => [1,1,4,2]
[4,3,1,5,6,7,8,2] => [1,1,5,1]
[2,3,8,1,4,7,5,6] => [3,3,2]
[2,3,8,1,6,4,5,7] => [3,2,3]
[2,3,8,1,7,4,5,6] => [3,2,3]
[2,3,7,1,6,4,8,5] => [3,2,2,1]
[2,3,5,1,8,7,4,6] => [3,2,1,2]
[2,3,8,1,6,7,4,5] => [3,3,2]
[2,8,4,1,3,5,6,7] => [2,1,5]
[2,7,4,1,3,5,8,6] => [2,1,4,1]
[2,6,4,1,3,8,5,7] => [2,1,3,2]
[2,8,4,1,3,7,5,6] => [2,1,3,2]
[2,6,4,1,3,7,8,5] => [2,1,4,1]
[2,8,5,1,3,4,6,7] => [2,1,5]
[2,7,5,1,3,4,8,6] => [2,1,4,1]
[2,8,7,1,3,4,5,6] => [2,1,5]
[2,6,5,1,3,8,4,7] => [2,1,3,2]
[2,8,5,1,3,7,4,6] => [2,1,3,2]
[2,6,8,1,3,7,4,5] => [3,3,2]
[2,6,5,1,3,7,8,4] => [2,1,4,1]
[2,5,4,1,8,3,6,7] => [2,1,2,3]
[2,5,4,1,7,3,8,6] => [2,1,2,2,1]
[2,8,4,1,6,3,5,7] => [2,1,2,3]
[2,8,4,1,7,3,5,6] => [2,1,2,3]
[2,7,4,1,6,3,8,5] => [2,1,2,2,1]
[2,8,5,1,6,3,4,7] => [2,1,2,3]
[2,8,5,1,7,3,4,6] => [2,1,2,3]
[2,7,8,1,6,3,4,5] => [3,2,3]
[2,7,5,1,6,3,8,4] => [2,1,2,2,1]
[2,5,4,1,6,8,3,7] => [2,1,3,2]
[2,5,4,1,8,7,3,6] => [2,1,2,1,2]
[2,8,4,1,6,7,3,5] => [2,1,3,2]
[2,8,5,1,6,7,3,4] => [2,1,3,2]
[2,5,4,1,6,7,8,3] => [2,1,4,1]
[7,3,4,1,2,5,8,6] => [1,2,4,1]
[6,3,4,1,2,8,5,7] => [1,2,3,2]
[8,3,4,1,2,7,5,6] => [1,2,3,2]
[6,3,4,1,2,7,8,5] => [1,2,4,1]
[7,3,5,1,2,4,8,6] => [1,2,4,1]
[6,3,7,1,2,4,8,5] => [1,2,4,1]
[6,3,5,1,2,8,4,7] => [1,2,3,2]
[8,3,5,1,2,7,4,6] => [1,2,3,2]
[6,3,8,1,2,7,4,5] => [1,2,3,2]
[6,3,5,1,2,7,8,4] => [1,2,4,1]
[7,5,4,1,2,3,8,6] => [1,1,1,4,1]
[6,8,4,1,2,3,5,7] => [2,1,5]
[6,7,4,1,2,3,8,5] => [2,1,4,1]
[6,8,5,1,2,3,4,7] => [2,1,5]
[6,7,5,1,2,3,8,4] => [2,1,4,1]
[6,5,4,1,2,8,3,7] => [1,1,1,3,2]
[8,5,4,1,2,7,3,6] => [1,1,1,3,2]
[6,8,4,1,2,7,3,5] => [2,1,3,2]
[6,8,5,1,2,7,3,4] => [2,1,3,2]
[6,5,4,1,2,7,8,3] => [1,1,1,4,1]
[5,3,4,1,8,2,6,7] => [1,2,2,3]
[5,3,4,1,7,2,8,6] => [1,2,2,2,1]
[8,3,4,1,6,2,5,7] => [1,2,2,3]
[8,3,4,1,7,2,5,6] => [1,2,2,3]
[7,3,4,1,6,2,8,5] => [1,2,2,2,1]
[8,3,5,1,6,2,4,7] => [1,2,2,3]
[8,3,5,1,7,2,4,6] => [1,2,2,3]
[7,3,8,1,6,2,4,5] => [1,2,2,3]
[7,3,5,1,6,2,8,4] => [1,2,2,2,1]
[8,5,4,1,6,2,3,7] => [1,1,1,2,3]
[8,5,4,1,7,2,3,6] => [1,1,1,2,3]
[7,8,4,1,6,2,3,5] => [2,1,2,3]
[7,8,5,1,6,2,3,4] => [2,1,2,3]
[7,5,4,1,6,2,8,3] => [1,1,1,2,2,1]
[5,3,4,1,6,8,2,7] => [1,2,3,2]
[5,3,4,1,8,7,2,6] => [1,2,2,1,2]
[8,3,4,1,6,7,2,5] => [1,2,3,2]
[8,3,5,1,6,7,2,4] => [1,2,3,2]
[8,5,4,1,6,7,2,3] => [1,1,1,3,2]
[5,3,4,1,6,7,8,2] => [1,2,4,1]
[2,3,4,8,1,7,5,6] => [4,2,2]
[2,3,8,5,1,4,6,7] => [3,1,4]
[2,3,7,5,1,4,8,6] => [3,1,3,1]
[2,3,8,6,1,4,5,7] => [3,1,4]
[2,3,7,6,1,4,8,5] => [3,1,3,1]
[2,3,6,5,1,8,4,7] => [3,1,2,2]
[2,3,8,5,1,7,4,6] => [3,1,2,2]
[2,3,8,6,1,7,4,5] => [3,1,2,2]
[2,3,6,5,1,7,8,4] => [3,1,3,1]
[2,8,4,5,1,3,6,7] => [2,2,4]
[2,7,4,5,1,3,8,6] => [2,2,3,1]
[2,8,4,6,1,3,5,7] => [2,2,4]
[2,7,4,8,1,3,5,6] => [2,2,4]
[2,7,4,6,1,3,8,5] => [2,2,3,1]
[2,8,6,5,1,3,4,7] => [2,1,1,4]
[2,7,8,5,1,3,4,6] => [3,1,4]
[2,7,8,6,1,3,4,5] => [3,1,4]
[2,7,6,5,1,3,8,4] => [2,1,1,3,1]
[2,6,4,5,1,8,3,7] => [2,2,2,2]
[2,8,4,5,1,7,3,6] => [2,2,2,2]
[2,8,4,6,1,7,3,5] => [2,2,2,2]
[2,8,6,5,1,7,3,4] => [2,1,1,2,2]
[2,6,4,5,1,7,8,3] => [2,2,3,1]
[7,3,4,5,1,2,8,6] => [1,3,3,1]
[7,3,4,6,1,2,8,5] => [1,3,3,1]
[8,3,6,5,1,2,4,7] => [1,2,1,4]
[7,3,8,5,1,2,4,6] => [1,2,1,4]
[7,3,8,6,1,2,4,5] => [1,2,1,4]
[7,3,6,5,1,2,8,4] => [1,2,1,3,1]
[7,6,4,5,1,2,8,3] => [1,1,2,3,1]
[6,3,4,5,1,8,2,7] => [1,3,2,2]
[8,3,4,5,1,7,2,6] => [1,3,2,2]
[8,3,4,6,1,7,2,5] => [1,3,2,2]
[8,3,6,5,1,7,2,4] => [1,2,1,2,2]
[8,6,4,5,1,7,2,3] => [1,1,2,2,2]
[6,3,4,5,1,7,8,2] => [1,3,3,1]
[2,3,4,8,6,1,5,7] => [4,1,3]
[2,3,4,8,7,1,5,6] => [4,1,3]
[2,3,4,7,6,1,8,5] => [4,1,2,1]
[2,3,8,5,6,1,4,7] => [3,2,3]
[2,3,8,5,7,1,4,6] => [3,2,3]
[2,3,8,7,6,1,4,5] => [3,1,1,3]
[2,3,7,5,6,1,8,4] => [3,2,2,1]
[2,8,4,5,6,1,3,7] => [2,3,3]
[2,8,4,5,7,1,3,6] => [2,3,3]
[2,8,4,7,6,1,3,5] => [2,2,1,3]
[2,8,7,5,6,1,3,4] => [2,1,2,3]
[2,7,4,5,6,1,8,3] => [2,3,2,1]
[8,3,4,5,7,1,2,6] => [1,4,3]
[8,3,4,7,6,1,2,5] => [1,3,1,3]
[8,3,7,5,6,1,2,4] => [1,2,2,3]
[7,3,4,5,6,1,8,2] => [1,4,2,1]
[2,3,4,5,8,7,1,6] => [5,1,2]
[2,3,4,8,6,7,1,5] => [4,2,2]
[2,3,8,5,6,7,1,4] => [3,3,2]
[2,8,4,5,6,7,1,3] => [2,4,2]
[3,5,2,6,1,4,8,7] => [2,2,3,1]
[3,5,2,6,4,1,8,7] => [2,2,1,2,1]
[3,5,2,7,4,8,1,6] => [2,2,2,2]
[3,5,2,7,4,8,6,1] => [2,2,2,1,1]
[4,5,7,2,3,8,6,1] => [3,3,1,1]
[4,5,7,2,3,8,1,6] => [3,3,2]
[4,5,6,2,3,1,8,7] => [3,2,2,1]
[4,5,6,2,1,3,8,7] => [3,1,3,1]
[3,5,1,6,4,2,8,7] => [2,2,1,2,1]
[4,5,6,1,3,2,8,7] => [3,2,2,1]
[4,5,6,3,1,2,8,7] => [3,1,3,1]
[4,5,7,3,2,8,1,6] => [3,1,2,2]
[4,5,7,3,2,8,6,1] => [3,1,2,1,1]
[4,6,7,3,8,2,5,1] => [3,2,2,1]
[4,6,7,3,8,2,1,5] => [3,2,1,2]
[4,6,7,3,8,1,2,5] => [3,2,3]
[4,5,7,3,1,8,2,6] => [3,1,2,2]
[4,5,7,1,3,8,2,6] => [3,3,2]
[3,5,1,7,4,8,2,6] => [2,2,2,2]
[2,1,5,7,4,8,3,6] => [1,3,2,2]
[2,1,5,7,4,8,6,3] => [1,3,2,1,1]
[3,5,1,7,4,8,6,2] => [2,2,2,1,1]
[4,5,7,1,3,8,6,2] => [3,3,1,1]
[4,5,7,3,1,8,6,2] => [3,1,2,1,1]
[4,6,7,3,8,1,5,2] => [3,2,2,1]
[4,6,7,3,8,5,1,2] => [3,2,1,2]
[4,6,7,3,8,5,2,1] => [3,2,1,1,1]
[5,6,7,8,3,1,4,2] => [4,1,2,1]
[5,6,7,8,1,3,4,2] => [4,3,1]
[4,6,7,1,8,3,5,2] => [3,2,2,1]
[3,6,1,7,8,4,5,2] => [2,3,2,1]
[2,1,6,7,8,4,5,3] => [1,4,2,1]
[2,1,6,7,8,4,3,5] => [1,4,1,2]
[3,6,1,7,8,4,2,5] => [2,3,1,2]
[4,6,7,1,8,3,2,5] => [3,2,1,2]
[5,6,7,8,1,3,2,4] => [4,2,2]
[4,5,7,2,1,8,3,6] => [3,1,2,2]
[4,6,7,2,8,1,3,5] => [3,2,3]
[4,6,7,2,8,3,1,5] => [3,2,1,2]
[4,6,7,2,8,3,5,1] => [3,2,2,1]
[3,6,2,7,8,4,5,1] => [2,3,2,1]
[3,6,2,7,8,4,1,5] => [2,3,1,2]
[3,6,2,7,8,1,4,5] => [2,3,3]
[3,5,2,7,1,8,4,6] => [2,2,2,2]
[3,4,2,1,7,8,5,6] => [2,1,3,2]
[3,4,1,2,7,8,6,5] => [2,4,1,1]
[3,5,2,7,1,8,6,4] => [2,2,2,1,1]
[3,6,2,7,8,1,5,4] => [2,3,2,1]
[3,6,2,7,8,5,1,4] => [2,3,1,2]
[3,6,2,7,8,5,4,1] => [2,3,1,1,1]
[4,6,7,2,8,5,3,1] => [3,2,1,1,1]
[4,6,7,2,8,5,1,3] => [3,2,1,2]
[4,6,7,2,8,1,5,3] => [3,2,2,1]
[4,5,7,2,1,8,6,3] => [3,1,2,1,1]
[4,5,7,1,2,8,6,3] => [3,3,1,1]
[3,5,1,7,2,8,6,4] => [2,2,2,1,1]
[2,1,5,7,3,8,6,4] => [1,3,2,1,1]
[2,1,6,7,8,3,5,4] => [1,4,2,1]
[3,6,1,7,8,2,5,4] => [2,3,2,1]
[4,6,7,1,8,2,5,3] => [3,2,2,1]
[5,6,7,8,1,2,4,3] => [4,3,1]
[5,6,7,8,2,1,4,3] => [4,1,2,1]
[5,6,7,8,2,4,1,3] => [4,2,2]
[5,6,7,8,2,4,3,1] => [4,2,1,1]
[5,6,7,8,1,4,2,3] => [4,2,2]
[4,6,7,1,8,5,2,3] => [3,2,1,2]
[3,6,1,7,8,5,2,4] => [2,3,1,2]
[2,1,6,7,8,5,3,4] => [1,4,1,2]
[3,6,1,7,8,5,4,2] => [2,3,1,1,1]
[4,6,7,1,8,5,3,2] => [3,2,1,1,1]
[5,6,7,8,1,4,3,2] => [4,2,1,1]
[5,6,7,8,4,1,3,2] => [4,1,2,1]
[6,5,8,7,3,4,1,2] => [1,2,1,2,2]
[3,6,7,4,5,8,1,2] => [3,3,2]
[2,6,7,4,5,1,8,3] => [3,2,2,1]
[1,6,7,4,5,2,3,8] => [3,2,3]
[1,5,4,7,6,2,3,8] => [2,2,1,3]
[2,5,4,7,6,1,8,3] => [2,2,1,2,1]
[3,5,4,7,6,8,1,2] => [2,2,2,2]
[4,5,3,7,8,6,1,2] => [2,3,1,2]
[5,4,3,8,7,6,1,2] => [1,1,2,1,1,2]
[6,4,8,3,7,5,1,2] => [1,2,2,1,2]
[6,3,8,4,5,7,1,2] => [1,2,3,2]
[5,3,4,8,6,7,1,2] => [1,3,2,2]
[4,3,5,6,8,7,1,2] => [1,4,1,2]
[3,2,5,6,1,8,7,4] => [1,3,2,1,1]
[4,2,5,6,8,1,7,3] => [1,4,2,1]
[5,2,4,8,6,1,7,3] => [1,3,1,2,1]
[6,2,8,4,5,1,7,3] => [1,2,2,2,1]
[7,8,2,4,5,1,6,3] => [2,3,2,1]
[7,8,1,4,5,2,3,6] => [2,3,3]
[6,1,8,4,5,2,3,7] => [1,2,2,3]
[5,1,4,8,6,2,3,7] => [1,3,1,3]
[4,1,3,2,8,6,5,7] => [1,2,2,1,2]
[5,1,3,8,2,6,4,7] => [1,3,2,2]
[6,1,8,3,2,5,4,7] => [1,2,1,2,2]
[7,8,1,3,2,5,4,6] => [2,2,2,2]
[7,8,2,3,1,5,6,4] => [2,2,3,1]
[6,2,8,3,1,5,7,4] => [1,2,1,3,1]
[5,2,3,8,1,6,7,4] => [1,3,3,1]
[6,3,8,2,1,7,5,4] => [1,2,1,2,1,1]
[7,8,3,2,1,6,5,4] => [2,1,1,2,1,1]
[7,8,4,2,6,1,5,3] => [2,1,2,2,1]
[5,4,2,8,7,1,6,3] => [1,1,2,1,2,1]
[4,5,2,7,8,1,6,3] => [2,3,2,1]
[2,5,3,7,1,6,8,4] => [2,2,3,1]
[1,5,3,7,2,6,4,8] => [2,2,2,2]
[1,6,7,3,2,5,4,8] => [3,1,2,2]
[2,6,7,3,1,5,8,4] => [3,1,3,1]
[3,6,7,2,1,8,5,4] => [3,1,2,1,1]
[7,8,5,6,2,1,4,3] => [2,2,1,2,1]
[6,5,8,7,1,2,3,4] => [1,2,1,4]
[5,4,1,8,7,2,3,6] => [1,1,2,1,3]
[6,4,8,1,7,2,3,5] => [1,2,2,3]
[7,8,3,1,2,6,4,5] => [2,1,3,2]
[5,3,1,8,2,7,4,6] => [1,1,2,2,2]
[4,3,1,2,8,7,5,6] => [1,1,3,1,2]
[4,2,1,3,8,5,7,6] => [1,1,3,2,1]
[5,2,1,8,3,4,7,6] => [1,1,2,3,1]
[6,2,8,1,3,4,7,5] => [1,2,4,1]
[7,8,2,1,3,4,6,5] => [2,1,4,1]
[4,3,1,2,6,5,8,7] => [1,1,3,2,1]
[5,3,1,6,2,4,8,7] => [1,1,2,3,1]
[6,3,1,5,2,4,8,7] => [1,1,2,3,1]
[7,3,1,5,2,8,4,6] => [1,1,2,2,2]
[8,4,5,1,2,7,3,6] => [1,2,3,2]
[7,4,5,1,2,8,3,6] => [1,2,3,2]
[6,4,5,1,2,3,8,7] => [1,2,4,1]
[5,4,6,1,2,3,8,7] => [1,2,4,1]
[2,1,6,5,3,4,8,7] => [1,2,1,3,1]
[3,6,1,5,2,4,8,7] => [2,2,3,1]
[4,6,5,1,2,3,8,7] => [2,1,4,1]
[5,6,4,1,2,3,8,7] => [2,1,4,1]
[6,5,4,1,2,3,8,7] => [1,1,1,4,1]
[7,5,4,1,2,8,3,6] => [1,1,1,3,2]
[8,6,4,1,7,2,3,5] => [1,1,1,2,3]
[7,6,4,1,8,2,3,5] => [1,1,1,2,3]
[6,7,4,1,8,2,3,5] => [2,1,2,3]
[5,7,4,1,2,8,3,6] => [2,1,3,2]
[4,7,5,1,2,8,3,6] => [2,1,3,2]
[3,7,1,5,2,8,4,6] => [2,2,2,2]
[2,1,7,5,3,8,4,6] => [1,2,1,2,2]
[2,1,8,5,3,7,4,6] => [1,2,1,2,2]
[3,8,1,5,2,7,4,6] => [2,2,2,2]
[4,8,5,1,2,7,3,6] => [2,1,3,2]
[5,8,4,1,2,7,3,6] => [2,1,3,2]
[6,8,4,1,7,2,3,5] => [2,1,2,3]
[8,7,4,1,6,2,3,5] => [1,1,1,2,3]
[5,8,6,7,1,2,3,4] => [2,2,4]
[4,8,6,1,7,2,3,5] => [2,1,2,3]
[3,8,1,6,7,2,4,5] => [2,3,3]
[2,1,8,6,7,3,4,5] => [1,2,2,3]
[2,1,7,6,8,3,4,5] => [1,2,2,3]
[3,7,1,6,8,2,4,5] => [2,3,3]
[4,7,6,1,8,2,3,5] => [2,1,2,3]
[5,7,6,8,1,2,3,4] => [2,2,4]
[5,4,7,1,2,8,3,6] => [1,2,3,2]
[6,4,7,1,8,2,3,5] => [1,2,2,3]
[7,4,6,1,8,2,3,5] => [1,2,2,3]
[8,4,6,1,7,2,3,5] => [1,2,2,3]
[8,3,1,6,7,2,4,5] => [1,1,3,3]
[7,3,1,6,8,2,4,5] => [1,1,3,3]
[6,3,1,7,8,2,4,5] => [1,1,3,3]
[5,3,1,7,2,8,4,6] => [1,1,2,2,2]
[4,3,1,2,7,8,5,6] => [1,1,4,2]
[2,1,4,3,8,7,5,6] => [1,2,2,1,2]
[3,4,1,2,8,7,5,6] => [2,3,1,2]
[6,3,1,8,7,2,4,5] => [1,1,2,1,3]
[7,3,1,8,6,2,4,5] => [1,1,2,1,3]
[8,4,7,1,6,2,3,5] => [1,2,2,3]
[7,4,8,1,6,2,3,5] => [1,2,2,3]
[5,4,8,1,2,7,3,6] => [1,2,3,2]
[4,5,8,1,2,7,3,6] => [3,3,2]
[3,5,1,8,2,7,4,6] => [2,2,2,2]
[2,1,5,8,3,7,4,6] => [1,3,2,2]
[2,1,6,8,7,3,4,5] => [1,3,1,3]
[3,6,1,8,7,2,4,5] => [2,2,1,3]
[4,6,8,1,7,2,3,5] => [3,2,3]
[5,6,8,7,1,2,3,4] => [3,1,4]
[7,5,8,6,1,2,3,4] => [1,2,1,4]
[8,5,7,6,1,2,3,4] => [1,2,1,4]
[5,7,8,6,1,2,3,4] => [3,1,4]
[4,7,8,1,6,2,3,5] => [3,2,3]
[3,7,1,8,6,2,4,5] => [2,2,1,3]
[2,1,7,8,6,3,4,5] => [1,3,1,3]
[2,1,8,7,6,3,4,5] => [1,2,1,1,3]
[3,8,1,7,6,2,4,5] => [2,2,1,3]
[4,8,7,1,6,2,3,5] => [2,1,2,3]
[5,8,7,6,1,2,3,4] => [2,1,1,4]
[6,8,7,5,1,2,3,4] => [2,1,1,4]
[6,4,7,3,8,5,1,2] => [1,2,2,1,2]
[6,4,7,3,5,8,1,2] => [1,2,3,2]
[6,4,7,2,5,1,8,3] => [1,2,2,2,1]
[5,4,2,7,6,1,3,8] => [1,1,2,1,3]
[5,4,2,7,6,1,8,3] => [1,1,2,1,2,1]
[5,4,3,7,6,8,1,2] => [1,1,2,2,2]
[5,4,3,7,8,6,1,2] => [1,1,3,1,2]
[6,4,8,3,5,7,1,2] => [1,2,3,2]
[5,4,3,8,6,7,1,2] => [1,1,2,2,2]
[5,4,3,6,8,7,1,2] => [1,1,3,1,2]
[5,4,2,6,7,1,8,3] => [1,1,3,2,1]
[5,4,2,6,7,1,3,8] => [1,1,3,3]
[5,3,2,6,1,7,4,8] => [1,1,2,2,2]
[5,3,2,6,1,7,8,4] => [1,1,2,3,1]
[5,3,2,6,1,8,7,4] => [1,1,2,2,1,1]
[5,4,2,6,8,1,7,3] => [1,1,3,2,1]
[5,4,2,8,6,1,7,3] => [1,1,2,1,2,1]
[6,4,8,2,5,1,7,3] => [1,2,2,2,1]
[7,8,4,2,5,1,6,3] => [2,1,2,2,1]
[7,8,4,2,5,1,3,6] => [2,1,2,3]
[5,4,2,8,6,1,3,7] => [1,1,2,1,3]
[5,3,2,6,1,8,4,7] => [1,1,2,2,2]
[4,3,2,1,6,8,5,7] => [1,1,1,3,2]
[4,3,2,1,8,6,5,7] => [1,1,1,2,1,2]
[5,3,2,8,1,6,4,7] => [1,1,2,2,2]
[6,3,8,2,1,5,4,7] => [1,2,1,2,2]
[7,8,3,2,1,5,4,6] => [2,1,1,2,2]
[7,8,3,2,1,5,6,4] => [2,1,1,3,1]
[6,3,8,2,1,5,7,4] => [1,2,1,3,1]
[5,3,2,8,1,6,7,4] => [1,1,2,3,1]
[5,4,2,7,8,1,6,3] => [1,1,3,2,1]
[5,3,2,7,1,8,6,4] => [1,1,2,2,1,1]
[5,3,2,7,1,6,8,4] => [1,1,2,3,1]
[5,3,2,7,1,6,4,8] => [1,1,2,2,2]
[6,3,7,2,1,5,4,8] => [1,2,1,2,2]
[6,3,7,2,1,5,8,4] => [1,2,1,3,1]
[6,3,7,2,1,8,5,4] => [1,2,1,2,1,1]
[6,4,7,2,8,1,5,3] => [1,2,2,2,1]
[6,5,7,8,2,1,4,3] => [1,3,1,2,1]
[6,5,8,7,2,1,3,4] => [1,2,1,1,3]
[6,3,7,2,1,8,4,5] => [1,2,1,2,2]
[6,3,7,2,1,4,8,5] => [1,2,1,3,1]
[6,3,7,2,1,4,5,8] => [1,2,1,4]
[5,3,2,7,1,4,8,6] => [1,1,2,3,1]
[5,4,2,8,7,1,3,6] => [1,1,2,1,3]
[7,8,4,2,6,1,3,5] => [2,1,2,3]
[7,8,3,2,1,6,4,5] => [2,1,1,2,2]
[6,3,8,2,1,7,4,5] => [1,2,1,2,2]
[5,3,2,8,1,7,4,6] => [1,1,2,2,2]
[4,3,2,1,8,7,5,6] => [1,1,1,2,1,2]
[4,3,2,1,7,5,8,6] => [1,1,1,2,2,1]
[4,3,2,1,7,5,6,8] => [1,1,1,2,3]
[4,3,2,1,8,5,7,6] => [1,1,1,2,2,1]
[5,3,2,8,1,4,7,6] => [1,1,2,3,1]
[6,3,8,2,1,4,7,5] => [1,2,1,3,1]
[7,8,3,2,1,4,6,5] => [2,1,1,3,1]
[6,3,8,2,1,4,5,7] => [1,2,1,4]
[4,3,2,1,8,5,6,7] => [1,1,1,2,3]
[4,3,2,1,5,8,6,7] => [1,1,1,3,2]
[7,8,5,6,1,2,4,3] => [2,2,3,1]
[7,8,4,1,6,2,5,3] => [2,1,2,2,1]
[7,8,1,4,6,2,5,3] => [2,3,2,1]
[6,1,8,4,7,2,5,3] => [1,2,2,2,1]
[1,6,8,4,7,2,5,3] => [3,2,2,1]
[1,6,8,3,2,7,5,4] => [3,1,2,1,1]
[6,1,8,3,2,7,5,4] => [1,2,1,2,1,1]
[7,8,1,3,2,6,5,4] => [2,2,2,1,1]
[7,8,3,1,2,6,5,4] => [2,1,3,1,1]
[7,8,3,4,6,5,1,2] => [2,3,1,2]
[7,8,2,4,6,1,5,3] => [2,3,2,1]
[7,8,2,3,1,6,5,4] => [2,2,2,1,1]
[7,8,2,1,3,6,5,4] => [2,1,3,1,1]
[7,8,1,2,3,6,5,4] => [2,4,1,1]
[6,1,8,2,3,7,5,4] => [1,2,3,1,1]
[1,6,8,2,3,7,5,4] => [3,3,1,1]
[1,5,2,8,3,7,6,4] => [2,2,2,1,1]
[5,1,2,8,3,7,6,4] => [1,3,2,1,1]
[5,2,1,8,3,7,6,4] => [1,1,2,2,1,1]
[6,2,8,1,3,7,5,4] => [1,2,3,1,1]
[6,2,8,3,1,7,5,4] => [1,2,1,2,1,1]
[6,2,8,4,7,1,5,3] => [1,2,2,2,1]
[6,3,8,4,7,5,1,2] => [1,2,2,1,2]
[3,6,8,4,7,5,1,2] => [3,2,1,2]
[2,6,8,4,7,1,5,3] => [3,2,2,1]
[2,6,8,3,1,7,5,4] => [3,1,2,1,1]
[2,6,8,1,3,7,5,4] => [3,3,1,1]
[2,5,1,8,3,7,6,4] => [2,2,2,1,1]
[1,2,5,8,3,7,6,4] => [4,2,1,1]
[2,4,1,3,8,7,6,5] => [2,3,1,1,1]
[2,5,3,8,1,7,6,4] => [2,2,2,1,1]
[2,5,4,8,7,1,6,3] => [2,2,1,2,1]
[3,5,4,8,7,6,1,2] => [2,2,1,1,2]
[5,3,4,8,7,6,1,2] => [1,3,1,1,2]
[5,2,4,8,7,1,6,3] => [1,3,1,2,1]
[5,2,3,8,1,7,6,4] => [1,3,2,1,1]
[4,2,1,3,8,7,6,5] => [1,1,3,1,1,1]
[4,1,2,3,8,7,6,5] => [1,4,1,1,1]
[1,4,2,3,8,7,6,5] => [2,3,1,1,1]
[4,1,3,2,8,7,6,5] => [1,2,2,1,1,1]
[4,3,1,2,8,7,6,5] => [1,1,3,1,1,1]
[6,3,8,1,2,7,5,4] => [1,2,3,1,1]
[5,3,1,8,2,7,6,4] => [1,1,2,2,1,1]
[5,1,3,8,2,7,6,4] => [1,3,2,1,1]
[1,5,3,8,2,7,6,4] => [2,2,2,1,1]
[1,5,4,8,7,2,6,3] => [2,2,1,2,1]
[5,1,4,8,7,2,6,3] => [1,3,1,2,1]
[5,4,1,8,7,2,6,3] => [1,1,2,1,2,1]
[6,4,8,1,7,2,5,3] => [1,2,2,2,1]
[6,5,8,7,1,2,4,3] => [1,2,1,3,1]
[5,6,8,7,3,4,1,2] => [3,1,2,2]
[5,6,8,7,2,1,4,3] => [3,1,1,2,1]
[4,5,1,8,7,2,6,3] => [2,2,1,2,1]
[4,1,5,8,7,2,6,3] => [1,3,1,2,1]
[1,4,5,8,7,2,6,3] => [4,1,2,1]
[1,3,5,8,2,7,6,4] => [4,2,1,1]
[3,1,5,8,2,7,6,4] => [1,3,2,1,1]
[3,6,8,1,2,7,5,4] => [3,3,1,1]
[3,6,8,2,1,7,5,4] => [3,1,2,1,1]
[4,6,8,2,7,1,5,3] => [3,2,2,1]
[4,6,8,3,7,5,1,2] => [3,2,1,2]
[4,5,3,8,7,6,1,2] => [2,2,1,1,2]
[4,5,2,8,7,1,6,3] => [2,2,1,2,1]
[3,5,2,8,1,7,6,4] => [2,2,2,1,1]
[3,1,4,2,8,7,6,5] => [1,2,2,1,1,1]
[3,1,2,4,8,7,6,5] => [1,4,1,1,1]
[3,2,5,8,1,7,6,4] => [1,3,2,1,1]
[4,2,5,8,7,1,6,3] => [1,3,1,2,1]
[4,3,5,8,7,6,1,2] => [1,3,1,1,2]
[3,4,5,8,7,6,1,2] => [4,1,1,2]
[2,4,5,8,7,1,6,3] => [4,1,2,1]
[2,3,5,8,1,7,6,4] => [4,2,1,1]
[4,1,3,2,6,5,8,7] => [1,2,2,2,1]
[5,1,3,2,6,4,8,7] => [1,2,2,2,1]
[6,1,3,2,5,4,8,7] => [1,2,2,2,1]
[7,1,3,2,5,4,8,6] => [1,2,2,2,1]
[8,1,3,2,5,4,7,6] => [1,2,2,2,1]
[8,1,4,2,5,3,7,6] => [1,2,2,2,1]
[7,1,4,2,5,3,8,6] => [1,2,2,2,1]
[6,1,4,2,5,3,8,7] => [1,2,2,2,1]
[5,1,4,2,6,3,8,7] => [1,2,2,2,1]
[2,1,6,3,5,4,8,7] => [1,2,2,2,1]
[3,1,6,2,5,4,8,7] => [1,2,2,2,1]
[4,1,6,2,5,3,8,7] => [1,2,2,2,1]
[6,2,5,1,4,3,8,7] => [1,2,2,2,1]
[5,2,6,1,4,3,8,7] => [1,2,2,2,1]
[5,2,7,1,4,3,8,6] => [1,2,2,2,1]
[5,2,8,1,4,3,7,6] => [1,2,2,2,1]
[6,2,8,1,4,3,7,5] => [1,2,2,2,1]
[6,2,7,1,4,3,8,5] => [1,2,2,2,1]
[7,2,6,1,4,3,8,5] => [1,2,2,2,1]
[7,2,5,1,4,3,8,6] => [1,2,2,2,1]
[4,1,7,2,5,3,8,6] => [1,2,2,2,1]
[3,1,7,2,5,4,8,6] => [1,2,2,2,1]
[2,1,7,3,5,4,8,6] => [1,2,2,2,1]
[2,1,8,3,5,4,7,6] => [1,2,2,2,1]
[3,1,8,2,5,4,7,6] => [1,2,2,2,1]
[4,1,8,2,5,3,7,6] => [1,2,2,2,1]
[8,2,5,1,4,3,7,6] => [1,2,2,2,1]
[8,2,6,1,4,3,7,5] => [1,2,2,2,1]
[7,1,4,3,8,2,6,5] => [1,2,2,2,1]
[8,1,4,3,7,2,6,5] => [1,2,2,2,1]
[8,1,5,3,7,2,6,4] => [1,2,2,2,1]
[7,1,5,3,8,2,6,4] => [1,2,2,2,1]
[8,2,6,1,5,3,7,4] => [1,2,2,2,1]
[5,1,8,2,6,3,7,4] => [1,2,2,2,1]
[4,1,8,2,6,3,7,5] => [1,2,2,2,1]
[3,1,8,2,6,4,7,5] => [1,2,2,2,1]
[2,1,8,3,6,4,7,5] => [1,2,2,2,1]
[2,1,7,3,6,4,8,5] => [1,2,2,2,1]
[4,1,7,2,6,3,8,5] => [1,2,2,2,1]
[5,1,7,2,6,3,8,4] => [1,2,2,2,1]
[7,2,6,1,5,3,8,4] => [1,2,2,2,1]
[6,2,7,1,5,3,8,4] => [1,2,2,2,1]
[6,2,8,1,5,3,7,4] => [1,2,2,2,1]
[8,1,5,2,6,3,7,4] => [1,2,2,2,1]
[6,1,5,2,7,3,8,4] => [1,2,2,2,1]
[6,1,4,2,7,3,8,5] => [1,2,2,2,1]
[8,1,4,2,6,3,7,5] => [1,2,2,2,1]
[8,1,3,2,6,4,7,5] => [1,2,2,2,1]
[7,1,3,2,6,4,8,5] => [1,2,2,2,1]
[6,1,3,2,7,4,8,5] => [1,2,2,2,1]
[5,1,3,2,7,4,8,6] => [1,2,2,2,1]
[4,1,3,2,7,5,8,6] => [1,2,2,2,1]
[2,1,4,3,8,5,7,6] => [1,2,2,2,1]
[3,1,4,2,8,5,7,6] => [1,2,2,2,1]
[4,1,3,2,8,5,7,6] => [1,2,2,2,1]
[5,1,3,2,8,4,7,6] => [1,2,2,2,1]
[6,1,3,2,8,4,7,5] => [1,2,2,2,1]
[8,4,7,1,3,2,6,5] => [1,2,2,2,1]
[7,4,8,1,3,2,6,5] => [1,2,2,2,1]
[7,3,8,1,4,2,6,5] => [1,2,2,2,1]
[8,3,7,1,4,2,6,5] => [1,2,2,2,1]
[6,1,4,2,8,3,7,5] => [1,2,2,2,1]
[5,1,4,2,8,3,7,6] => [1,2,2,2,1]
[4,1,5,2,8,3,7,6] => [1,2,2,2,1]
[3,1,5,2,8,4,7,6] => [1,2,2,2,1]
[2,1,5,3,8,4,7,6] => [1,2,2,2,1]
[2,1,6,3,8,4,7,5] => [1,2,2,2,1]
[3,1,6,2,8,4,7,5] => [1,2,2,2,1]
[4,1,6,2,8,3,7,5] => [1,2,2,2,1]
[5,1,6,2,8,3,7,4] => [1,2,2,2,1]
[6,1,5,2,8,3,7,4] => [1,2,2,2,1]
[8,3,7,1,5,2,6,4] => [1,2,2,2,1]
[7,3,8,1,5,2,6,4] => [1,2,2,2,1]
[6,2,7,3,8,1,5,4] => [1,2,2,2,1]
[6,2,8,3,7,1,5,4] => [1,2,2,2,1]
[8,3,7,2,6,1,5,4] => [1,2,2,2,1]
[5,1,8,3,7,2,6,4] => [1,2,2,2,1]
[4,1,8,3,7,2,6,5] => [1,2,2,2,1]
[3,1,8,4,7,2,6,5] => [1,2,2,2,1]
[2,1,8,4,7,3,6,5] => [1,2,2,2,1]
[2,1,7,4,8,3,6,5] => [1,2,2,2,1]
[3,1,7,4,8,2,6,5] => [1,2,2,2,1]
[4,1,7,3,8,2,6,5] => [1,2,2,2,1]
[5,1,7,3,8,2,6,4] => [1,2,2,2,1]
[7,3,8,2,6,1,5,4] => [1,2,2,2,1]
[8,2,6,3,7,1,5,4] => [1,2,2,2,1]
[7,2,6,3,8,1,5,4] => [1,2,2,2,1]
[3,4,2,6,8,1,5,7] => [2,3,3]
[5,3,6,2,8,1,4,7] => [1,2,2,3]
[5,3,6,2,4,8,1,7] => [1,2,3,2]
[5,7,3,8,2,4,1,6] => [2,2,2,2]
[5,7,3,8,2,4,6,1] => [2,2,3,1]
[7,4,2,5,8,3,6,1] => [1,1,3,2,1]
[7,4,2,5,8,3,1,6] => [1,1,3,1,2]
[4,5,2,6,3,8,1,7] => [2,2,2,2]
[4,5,2,1,6,8,3,7] => [2,1,3,2]
[5,3,1,6,8,2,4,7] => [1,1,3,3]
[5,6,2,8,1,3,4,7] => [2,2,4]
[3,5,6,1,4,8,2,7] => [3,3,2]
[4,1,5,6,3,8,2,7] => [1,3,2,2]
[4,5,1,6,3,8,2,7] => [2,2,2,2]
[4,5,6,3,2,8,1,7] => [3,1,2,2]
[7,4,5,3,8,2,1,6] => [1,2,2,1,2]
[7,4,5,3,8,2,6,1] => [1,2,2,2,1]
[6,7,4,8,3,2,5,1] => [2,2,1,2,1]
[6,7,4,8,3,2,1,5] => [2,2,1,1,2]
[6,7,4,1,8,3,2,5] => [2,1,2,1,2]
[7,4,5,3,1,8,2,6] => [1,2,1,2,2]
[4,7,1,5,8,3,2,6] => [2,3,1,2]
[5,3,7,8,1,4,2,6] => [1,3,2,2]
[7,5,8,2,4,6,1,3] => [1,2,3,2]
[7,3,5,8,1,4,6,2] => [1,3,3,1]
[4,5,1,7,8,3,6,2] => [2,3,2,1]
[7,4,1,5,8,3,6,2] => [1,1,3,2,1]
[6,7,4,3,8,1,5,2] => [2,1,2,2,1]
[6,7,4,8,3,1,5,2] => [2,2,1,2,1]
[6,7,4,8,3,5,2,1] => [2,2,2,1,1]
[5,6,7,3,8,4,2,1] => [3,2,1,1,1]
[5,6,7,3,1,8,4,2] => [3,1,2,1,1]
[5,6,1,7,3,8,4,2] => [2,2,2,1,1]
[5,1,6,7,3,8,4,2] => [1,3,2,1,1]
[6,4,7,1,8,3,5,2] => [1,2,2,2,1]
[6,7,8,3,1,4,5,2] => [3,1,3,1]
[6,7,2,8,4,5,1,3] => [2,2,2,2]
[6,7,2,8,4,1,3,5] => [2,2,1,3]
[6,1,7,4,8,3,2,5] => [1,2,2,1,2]
[5,1,6,7,3,2,8,4] => [1,3,1,2,1]
[5,6,1,7,3,2,8,4] => [2,2,1,2,1]
[5,6,7,3,2,1,8,4] => [3,1,1,2,1]
[5,6,7,3,2,8,4,1] => [3,1,2,1,1]
[5,6,2,7,3,8,4,1] => [2,2,2,1,1]
[5,6,2,7,3,1,8,4] => [2,2,1,2,1]
[5,6,2,1,7,3,8,4] => [2,1,2,2,1]
[6,1,7,4,2,8,3,5] => [1,2,1,2,2]
[6,7,2,1,8,3,4,5] => [2,1,2,3]
[7,5,8,2,1,3,4,6] => [1,2,1,4]
[5,7,3,1,8,2,4,6] => [2,1,2,3]
[4,7,1,5,2,8,3,6] => [2,2,2,2]
[7,4,2,5,1,8,3,6] => [1,1,2,2,2]
[6,7,4,2,1,8,3,5] => [2,1,1,2,2]
[6,7,4,2,8,3,1,5] => [2,1,2,1,2]
[6,7,4,2,8,3,5,1] => [2,1,2,2,1]
[3,6,7,2,8,4,5,1] => [3,2,2,1]
[3,6,7,2,8,4,1,5] => [3,2,1,2]
[3,6,7,2,1,8,4,5] => [3,1,2,2]
[5,7,3,8,2,1,4,6] => [2,2,1,3]
[3,4,7,8,2,1,5,6] => [4,1,3]
[3,7,8,1,4,6,2,5] => [3,3,2]
[3,4,7,8,2,6,1,5] => [4,2,2]
[5,7,3,8,2,6,1,4] => [2,2,2,2]
[3,6,7,2,8,5,1,4] => [3,2,1,2]
[3,6,7,8,5,2,1,4] => [4,1,1,2]
[3,6,7,8,5,2,4,1] => [4,1,2,1]
[6,4,7,8,2,5,3,1] => [1,3,2,1,1]
[6,4,7,8,2,1,5,3] => [1,3,1,2,1]
[4,1,5,7,8,2,6,3] => [1,4,2,1]
[5,3,7,8,1,6,2,4] => [1,3,2,2]
[6,7,2,8,5,1,3,4] => [2,2,1,3]
[6,4,1,7,8,2,5,3] => [1,1,3,2,1]
[5,1,6,2,7,8,4,3] => [1,2,3,1,1]
[5,6,2,1,7,8,4,3] => [2,1,3,1,1]
[5,6,2,7,1,8,4,3] => [2,2,2,1,1]
[5,6,2,7,8,4,3,1] => [2,3,1,1,1]
[5,6,7,2,8,4,3,1] => [3,2,1,1,1]
[5,6,7,2,1,8,4,3] => [3,1,2,1,1]
[5,6,1,7,2,8,4,3] => [2,2,2,1,1]
[5,1,6,7,2,8,4,3] => [1,3,2,1,1]
[6,4,7,1,8,2,5,3] => [1,2,2,2,1]
[3,6,7,1,8,5,2,4] => [3,2,1,2]
[6,7,8,5,2,4,1,3] => [3,1,2,2]
[6,7,8,3,5,1,4,2] => [3,2,2,1]
[4,6,7,8,1,5,3,2] => [4,2,1,1]
[5,1,6,7,8,4,3,2] => [1,4,1,1,1]
[5,6,1,7,8,4,3,2] => [2,3,1,1,1]
[5,6,7,1,8,4,3,2] => [3,2,1,1,1]
[8,6,1,3,4,2,5,7] => [1,1,3,3]
[8,3,2,5,1,6,4,7] => [1,1,2,2,2]
[8,5,3,6,2,4,1,7] => [1,1,2,2,2]
[5,3,2,7,4,1,8,6] => [1,1,2,1,2,1]
[7,5,3,8,2,4,6,1] => [1,1,2,3,1]
[7,2,4,5,8,3,6,1] => [1,4,2,1]
[2,4,5,3,7,1,8,6] => [3,2,2,1]
[8,2,4,5,6,3,1,7] => [1,4,1,2]
[8,2,4,5,6,1,3,7] => [1,4,3]
[8,1,2,4,5,6,3,7] => [1,5,2]
[8,2,5,1,3,6,4,7] => [1,2,3,2]
[8,5,6,2,1,4,3,7] => [1,2,1,2,2]
[8,5,3,6,4,1,2,7] => [1,1,2,1,3]
[8,4,1,5,6,3,2,7] => [1,1,3,1,2]
[8,1,4,5,6,3,2,7] => [1,4,1,2]
[4,5,3,7,2,1,8,6] => [2,2,1,2,1]
[7,4,5,8,3,2,6,1] => [1,3,1,2,1]
[4,3,6,7,2,8,5,1] => [1,3,2,1,1]
[4,3,6,7,2,8,1,5] => [1,3,2,2]
[1,4,3,6,7,2,8,5] => [2,3,2,1]
[4,5,3,7,1,8,2,6] => [2,2,2,2]
[4,1,5,3,7,2,8,6] => [1,2,2,2,1]
[5,3,4,7,1,2,8,6] => [1,3,3,1]
[7,5,8,2,1,4,6,3] => [1,2,1,3,1]
[7,5,3,8,4,1,6,2] => [1,1,2,1,2,1]
[7,4,5,8,3,6,1,2] => [1,3,2,2]
[4,3,6,7,8,1,5,2] => [1,4,2,1]
[1,6,4,7,8,3,5,2] => [2,3,2,1]
[6,4,7,8,3,5,2,1] => [1,3,2,1,1]
[3,5,6,7,8,4,1,2] => [5,1,2]
[3,1,5,6,7,8,4,2] => [1,5,1,1]
[4,6,1,7,8,3,5,2] => [2,3,2,1]
[3,6,7,1,4,8,5,2] => [3,3,1,1]
[6,2,4,1,7,8,5,3] => [1,2,3,1,1]
[2,6,7,1,4,8,3,5] => [3,3,2]
[4,3,6,7,8,1,2,5] => [1,4,3]
[1,5,3,6,7,8,2,4] => [2,4,2]
[3,5,6,7,8,2,1,4] => [5,1,2]
[3,5,6,7,8,2,4,1] => [5,2,1]
[5,2,7,1,3,8,4,6] => [1,2,3,2]
[5,3,1,7,8,2,4,6] => [1,1,3,3]
[4,5,2,7,8,1,3,6] => [2,3,3]
[4,2,6,7,8,3,1,5] => [1,4,1,2]
[4,2,6,7,8,3,5,1] => [1,4,2,1]
[3,6,2,7,4,8,5,1] => [2,2,2,1,1]
[3,6,2,7,4,8,1,5] => [2,2,2,2]
[3,2,1,6,4,7,8,5] => [1,1,2,3,1]
[3,7,4,2,1,5,8,6] => [2,1,1,3,1]
[1,7,3,4,2,5,8,6] => [2,2,3,1]
[4,7,2,1,3,5,8,6] => [2,1,4,1]
[7,8,4,2,1,3,6,5] => [2,1,1,3,1]
[7,8,1,3,4,2,6,5] => [2,3,2,1]
[7,8,3,4,2,1,6,5] => [2,2,1,2,1]
[6,3,2,7,1,8,5,4] => [1,1,2,2,1,1]
[3,6,2,7,1,8,5,4] => [2,2,2,1,1]
[6,7,3,8,2,5,4,1] => [2,2,2,1,1]
[6,4,7,8,5,2,3,1] => [1,3,1,2,1]
[2,6,4,7,8,1,5,3] => [2,3,2,1]
[4,6,2,7,8,1,5,3] => [2,3,2,1]
[7,4,5,8,6,2,1,3] => [1,3,1,1,2]
[7,4,1,5,8,6,2,3] => [1,1,3,1,2]
[7,5,3,8,6,1,2,4] => [1,1,2,1,3]
[7,5,8,2,1,6,3,4] => [1,2,1,2,2]
[6,2,7,1,3,8,5,4] => [1,2,3,1,1]
[6,3,1,7,8,2,5,4] => [1,1,3,2,1]
[4,6,1,7,8,5,2,3] => [2,3,1,2]
[5,1,2,6,7,8,4,3] => [1,5,1,1]
[5,2,6,7,8,4,1,3] => [1,4,1,2]
[5,2,6,7,8,4,3,1] => [1,4,1,1,1]
[2,5,6,7,8,4,1,3] => [5,1,2]
[1,5,2,6,7,8,4,3] => [2,4,1,1]
[1,6,4,7,8,5,2,3] => [2,3,1,2]
[2,6,7,1,3,8,5,4] => [3,3,1,1]
[6,7,8,2,1,5,4,3] => [3,1,2,1,1]
[6,7,3,8,5,1,4,2] => [2,2,1,2,1]
[6,4,7,8,5,3,1,2] => [1,3,1,1,2]
[4,5,2,3,7,6,1,8] => [2,3,1,2]
[6,4,3,7,2,5,1,8] => [1,1,2,2,2]
[8,4,3,6,5,1,2,7] => [1,1,2,1,3]
[1,5,6,3,4,8,7,2] => [3,3,1,1]
[4,6,2,7,3,5,1,8] => [2,2,2,2]
[3,2,6,7,4,5,1,8] => [1,3,2,2]
[4,7,2,6,5,3,1,8] => [2,2,1,1,2]
[5,7,6,2,4,3,1,8] => [2,1,2,1,2]
[1,7,5,4,8,3,6,2] => [2,1,2,2,1]
[8,7,5,4,1,3,2,6] => [1,1,1,1,2,2]
[6,8,5,4,2,1,3,7] => [2,1,1,1,3]
[5,8,6,2,4,1,3,7] => [2,1,2,3]
[4,8,2,6,5,1,3,7] => [2,2,1,3]
[3,2,8,6,5,1,4,7] => [1,2,1,1,3]
[4,1,2,6,5,8,7,3] => [1,3,2,1,1]
[5,1,6,2,4,8,7,3] => [1,2,3,1,1]
[6,1,5,4,2,8,7,3] => [1,2,1,2,1,1]
[7,1,5,4,8,2,6,3] => [1,2,2,2,1]
[8,1,5,4,7,6,2,3] => [1,2,2,1,2]
[1,8,6,7,4,5,3,2] => [2,2,2,1,1]
[8,1,6,7,4,5,2,3] => [1,3,2,2]
[7,1,6,8,4,2,5,3] => [1,3,1,2,1]
[6,1,7,8,2,4,5,3] => [1,3,3,1]
[5,1,7,2,8,4,6,3] => [1,2,2,2,1]
[4,1,2,7,8,5,6,3] => [1,4,2,1]
[3,2,1,7,8,5,6,4] => [1,1,3,2,1]
[3,2,8,7,1,5,4,6] => [1,2,1,2,2]
[4,8,2,7,1,5,3,6] => [2,2,2,2]
[5,8,7,2,1,4,3,6] => [2,1,1,2,2]
[6,8,7,1,2,4,3,5] => [2,1,3,2]
[7,8,6,1,4,2,3,5] => [2,1,2,3]
[8,7,6,1,4,3,2,5] => [1,1,1,2,1,2]
[1,7,6,8,4,3,5,2] => [2,2,1,2,1]
[1,6,7,8,3,4,5,2] => [4,3,1]
[8,6,7,1,3,4,2,5] => [1,2,3,2]
[7,6,8,1,3,2,4,5] => [1,2,2,3]
[5,7,8,2,1,3,4,6] => [3,1,4]
[4,7,2,8,1,3,5,6] => [2,2,4]
[3,2,6,8,4,1,5,7] => [1,3,1,3]
[4,6,2,8,3,1,5,7] => [2,2,1,3]
[5,6,8,2,3,1,4,7] => [3,2,3]
[6,5,8,3,2,1,4,7] => [1,2,1,1,3]
[7,5,8,3,1,2,4,6] => [1,2,1,4]
[8,5,7,3,1,4,2,6] => [1,2,1,2,2]
[1,5,7,3,8,4,6,2] => [3,2,2,1]
[1,4,3,7,8,5,6,2] => [2,3,2,1]
[8,4,3,7,1,5,2,6] => [1,1,2,2,2]
[6,4,3,8,2,1,5,7] => [1,1,2,1,3]
[4,5,2,3,8,1,6,7] => [2,3,3]
[3,2,5,4,8,1,6,7] => [1,2,2,3]
[4,5,2,3,1,8,7,6] => [2,2,2,1,1]
[6,4,3,1,2,8,7,5] => [1,1,1,3,1,1]
[7,4,3,1,8,2,6,5] => [1,1,1,2,2,1]
[8,4,3,1,7,6,2,5] => [1,1,1,2,1,2]
[1,5,8,3,7,6,4,2] => [3,2,1,1,1]
[8,5,1,3,7,6,2,4] => [1,1,3,1,2]
[7,5,1,3,8,2,6,4] => [1,1,3,2,1]
[6,5,1,3,2,8,7,4] => [1,1,2,2,1,1]
[5,6,1,2,3,8,7,4] => [2,4,1,1]
[4,6,2,1,3,8,7,5] => [2,1,3,1,1]
[3,2,6,1,4,8,7,5] => [1,2,3,1,1]
[3,2,7,1,8,4,6,5] => [1,2,2,2,1]
[4,7,2,1,8,3,6,5] => [2,1,2,2,1]
[5,7,1,2,8,3,6,4] => [2,3,2,1]
[6,7,1,8,2,3,5,4] => [2,2,3,1]
[7,6,1,8,3,2,5,4] => [1,1,2,1,2,1]
[8,6,1,7,3,5,2,4] => [1,1,2,2,2]
[1,6,8,7,3,5,4,2] => [3,1,2,1,1]
[1,7,8,6,5,3,4,2] => [3,1,1,2,1]
[8,7,1,6,5,3,2,4] => [1,1,2,1,1,2]
[7,8,1,6,5,2,3,4] => [2,2,1,3]
[6,8,1,7,2,5,3,4] => [2,2,2,2]
[5,8,1,2,7,6,3,4] => [2,3,1,2]
[4,8,2,1,7,6,3,5] => [2,1,2,1,2]
[3,2,8,1,7,6,4,5] => [1,2,2,1,2]
[4,1,2,8,7,6,5,3] => [1,3,1,1,1,1]
[5,1,8,2,7,6,4,3] => [1,2,2,1,1,1]
[6,1,8,7,2,5,4,3] => [1,2,1,2,1,1]
[7,1,8,6,5,2,4,3] => [1,2,1,1,2,1]
[8,1,7,6,5,4,2,3] => [1,2,1,1,1,2]
[3,1,2,6,5,8,7,4] => [1,3,2,1,1]
[3,1,6,2,4,8,7,5] => [1,2,3,1,1]
[3,1,5,2,4,8,7,6] => [1,2,3,1,1]
[4,5,1,2,3,8,7,6] => [2,4,1,1]
[4,6,1,2,3,8,7,5] => [2,4,1,1]
[1,6,5,3,4,8,7,2] => [2,1,3,1,1]
[6,1,5,2,4,8,7,3] => [1,2,3,1,1]
[6,5,1,2,3,8,7,4] => [1,1,4,1,1]
[6,4,1,2,3,8,7,5] => [1,1,4,1,1]
[5,4,1,2,3,8,7,6] => [1,1,4,1,1]
[5,4,1,2,7,3,6,8] => [1,1,3,3]
[6,4,1,7,2,3,5,8] => [1,1,2,4]
[6,4,1,8,2,3,5,7] => [1,1,2,4]
[7,4,1,2,8,3,6,5] => [1,1,3,2,1]
[7,5,1,2,8,3,6,4] => [1,1,3,2,1]
[7,1,5,2,8,4,6,3] => [1,2,2,2,1]
[1,7,5,3,8,4,6,2] => [2,1,2,2,1]
[1,8,5,3,7,4,6,2] => [2,1,2,2,1]
[8,1,5,2,7,4,6,3] => [1,2,2,2,1]
[8,5,1,2,7,3,6,4] => [1,1,3,2,1]
[8,4,1,2,7,3,6,5] => [1,1,3,2,1]
[8,4,1,7,2,3,5,6] => [1,1,2,4]
[7,4,1,6,2,3,5,8] => [1,1,2,4]
[8,6,1,7,2,3,5,4] => [1,1,2,3,1]
[8,1,6,7,2,4,5,3] => [1,3,3,1]
[1,8,6,7,3,4,5,2] => [2,2,3,1]
[1,7,6,8,3,4,5,2] => [2,2,3,1]
[7,1,6,8,2,4,5,3] => [1,3,3,1]
[7,6,1,8,2,3,5,4] => [1,1,2,3,1]
[4,7,1,2,8,3,6,5] => [2,3,2,1]
[3,1,7,2,8,4,6,5] => [1,2,2,2,1]
[3,1,2,7,8,5,6,4] => [1,4,2,1]
[1,4,3,8,7,5,6,2] => [2,2,1,2,1]
[4,1,2,8,7,5,6,3] => [1,3,1,2,1]
[3,1,2,8,7,5,6,4] => [1,3,1,2,1]
[3,1,8,2,7,4,6,5] => [1,2,2,2,1]
[3,1,8,7,2,4,5,6] => [1,2,1,4]
[3,1,7,6,2,4,5,8] => [1,2,1,4]
[4,7,1,6,2,3,5,8] => [2,2,4]
[4,8,1,6,2,3,5,7] => [2,2,4]
[4,8,1,7,2,3,5,6] => [2,2,4]
[4,8,1,2,7,3,6,5] => [2,3,2,1]
[5,8,1,2,7,3,6,4] => [2,3,2,1]
[5,1,8,2,7,4,6,3] => [1,2,2,2,1]
[1,5,8,3,7,4,6,2] => [3,2,2,1]
[1,6,8,7,3,4,5,2] => [3,1,3,1]
[6,1,8,7,2,4,5,3] => [1,2,1,3,1]
[6,8,1,7,2,3,5,4] => [2,2,3,1]
[6,8,7,1,2,3,4,5] => [2,1,5]
[5,8,7,1,2,3,4,6] => [2,1,5]
[5,8,6,1,2,3,4,7] => [2,1,5]
[5,7,6,1,2,3,4,8] => [2,1,5]
[7,8,1,6,2,3,5,4] => [2,2,3,1]
[7,1,8,6,2,4,5,3] => [1,2,1,3,1]
[1,7,8,6,3,4,5,2] => [3,1,3,1]
[1,8,7,6,3,4,5,2] => [2,1,1,3,1]
[8,1,7,6,2,4,5,3] => [1,2,1,3,1]
[8,7,1,6,2,3,5,4] => [1,1,2,3,1]
[3,2,5,1,6,4,8,7] => [1,2,2,2,1]
[3,2,5,4,7,1,8,6] => [1,2,2,2,1]
[4,2,5,3,7,6,8,1] => [1,2,2,2,1]
[4,2,5,3,7,1,8,6] => [1,2,2,2,1]
[4,2,5,3,6,1,8,7] => [1,2,2,2,1]
[4,2,5,1,6,3,8,7] => [1,2,2,2,1]
[3,1,5,4,6,2,8,7] => [1,2,2,2,1]
[4,1,5,3,6,2,8,7] => [1,2,2,2,1]
[4,3,5,1,6,2,8,7] => [1,2,2,2,1]
[4,3,5,2,7,1,8,6] => [1,2,2,2,1]
[4,3,6,2,7,5,8,1] => [1,2,2,2,1]
[4,3,6,2,7,1,8,5] => [1,2,2,2,1]
[4,3,6,1,7,2,8,5] => [1,2,2,2,1]
[4,3,5,1,7,2,8,6] => [1,2,2,2,1]
[3,1,5,4,7,2,8,6] => [1,2,2,2,1]
[2,1,5,4,7,3,8,6] => [1,2,2,2,1]
[3,1,5,4,7,6,8,2] => [1,2,2,2,1]
[4,1,5,3,7,6,8,2] => [1,2,2,2,1]
[4,3,5,1,7,6,8,2] => [1,2,2,2,1]
[4,3,6,1,7,5,8,2] => [1,2,2,2,1]
[4,3,6,5,7,1,8,2] => [1,2,2,2,1]
[5,3,6,4,7,2,8,1] => [1,2,2,2,1]
[5,3,6,4,7,1,8,2] => [1,2,2,2,1]
[5,3,6,1,7,4,8,2] => [1,2,2,2,1]
[5,1,6,3,7,4,8,2] => [1,2,2,2,1]
[4,1,6,3,7,5,8,2] => [1,2,2,2,1]
[3,1,6,4,7,5,8,2] => [1,2,2,2,1]
[2,1,6,4,7,5,8,3] => [1,2,2,2,1]
[2,1,6,4,7,3,8,5] => [1,2,2,2,1]
[3,1,6,4,7,2,8,5] => [1,2,2,2,1]
[4,1,6,3,7,2,8,5] => [1,2,2,2,1]
[5,1,6,3,7,2,8,4] => [1,2,2,2,1]
[5,3,6,1,7,2,8,4] => [1,2,2,2,1]
[5,3,6,2,7,1,8,4] => [1,2,2,2,1]
[5,3,6,2,7,4,8,1] => [1,2,2,2,1]
[5,2,6,3,7,4,8,1] => [1,2,2,2,1]
[5,2,6,3,7,1,8,4] => [1,2,2,2,1]
[5,2,6,1,7,3,8,4] => [1,2,2,2,1]
[4,2,5,1,7,3,8,6] => [1,2,2,2,1]
[4,2,6,1,7,3,8,5] => [1,2,2,2,1]
[4,2,6,3,7,1,8,5] => [1,2,2,2,1]
[4,2,6,3,7,5,8,1] => [1,2,2,2,1]
[3,2,6,4,7,5,8,1] => [1,2,2,2,1]
[3,2,6,4,7,1,8,5] => [1,2,2,2,1]
[3,2,6,1,7,4,8,5] => [1,2,2,2,1]
[3,2,5,1,7,4,8,6] => [1,2,2,2,1]
[3,2,4,1,7,5,8,6] => [1,2,2,2,1]
[3,1,4,2,7,6,8,5] => [1,2,2,2,1]
[3,2,5,1,7,6,8,4] => [1,2,2,2,1]
[3,2,6,1,7,5,8,4] => [1,2,2,2,1]
[3,2,6,5,7,1,8,4] => [1,2,2,2,1]
[4,2,6,5,7,3,8,1] => [1,2,2,2,1]
[4,2,6,5,7,1,8,3] => [1,2,2,2,1]
[4,2,6,1,7,5,8,3] => [1,2,2,2,1]
[4,2,5,1,7,6,8,3] => [1,2,2,2,1]
[4,1,5,2,7,6,8,3] => [1,2,2,2,1]
[3,1,5,2,7,6,8,4] => [1,2,2,2,1]
[2,1,5,3,7,6,8,4] => [1,2,2,2,1]
[2,1,6,3,7,5,8,4] => [1,2,2,2,1]
[3,1,6,2,7,5,8,4] => [1,2,2,2,1]
[4,1,6,2,7,5,8,3] => [1,2,2,2,1]
[5,1,6,2,7,4,8,3] => [1,2,2,2,1]
[5,2,6,1,7,4,8,3] => [1,2,2,2,1]
[5,2,6,4,7,1,8,3] => [1,2,2,2,1]
[5,2,6,4,7,3,8,1] => [1,2,2,2,1]
[5,4,6,2,7,3,8,1] => [1,2,2,2,1]
[5,4,6,2,7,1,8,3] => [1,2,2,2,1]
[5,4,6,1,7,2,8,3] => [1,2,2,2,1]
[5,1,6,4,7,2,8,3] => [1,2,2,2,1]
[4,1,6,5,7,2,8,3] => [1,2,2,2,1]
[3,1,6,5,7,2,8,4] => [1,2,2,2,1]
[2,1,6,5,7,3,8,4] => [1,2,2,2,1]
[3,1,6,5,7,4,8,2] => [1,2,2,2,1]
[4,1,6,5,7,3,8,2] => [1,2,2,2,1]
[5,1,6,4,7,3,8,2] => [1,2,2,2,1]
[5,4,6,1,7,3,8,2] => [1,2,2,2,1]
[5,4,6,3,7,1,8,2] => [1,2,2,2,1]
[8,3,5,2,1,6,4,7] => [1,2,1,2,2]
[8,6,3,5,2,4,1,7] => [1,1,2,2,2]
[3,7,5,2,4,1,8,6] => [2,1,2,2,1]
[8,3,7,5,2,4,6,1] => [1,2,1,3,1]
[8,2,4,5,7,3,6,1] => [1,4,2,1]
[2,4,5,7,3,1,8,6] => [4,1,2,1]
[8,2,4,6,5,3,1,7] => [1,3,1,1,2]
[8,2,5,4,6,1,3,7] => [1,2,2,3]
[8,6,3,5,1,4,2,7] => [1,1,2,2,2]
[8,6,1,4,5,3,2,7] => [1,1,3,1,2]
[8,1,5,6,4,3,2,7] => [1,3,1,1,2]
[5,7,4,3,2,1,8,6] => [2,1,1,1,2,1]
[8,5,7,4,3,2,6,1] => [1,2,1,1,2,1]
[4,6,8,3,2,7,5,1] => [3,1,2,1,1]
[4,7,6,3,2,8,1,5] => [2,1,1,2,2]
[1,4,6,7,3,2,8,5] => [4,1,2,1]
[5,4,7,3,1,8,2,6] => [1,2,1,2,2]
[1,7,4,5,3,2,8,6] => [2,2,1,2,1]
[3,7,5,1,4,2,8,6] => [2,1,2,2,1]
[5,7,4,2,1,3,8,6] => [2,1,1,3,1]
[8,5,7,4,2,1,6,3] => [1,2,1,1,2,1]
[8,3,7,5,1,4,6,2] => [1,2,1,3,1]
[8,4,1,7,5,3,6,2] => [1,1,2,1,2,1]
[4,6,3,8,7,1,5,2] => [2,2,1,2,1]
[1,7,4,8,6,3,5,2] => [2,2,1,2,1]
[8,4,7,6,3,5,2,1] => [1,2,1,2,1,1]
[3,6,5,8,7,4,1,2] => [2,2,1,1,2]
[3,1,5,8,6,7,4,2] => [1,3,2,1,1]
[4,8,1,6,7,3,5,2] => [2,3,2,1]
[3,6,4,1,8,7,5,2] => [2,1,2,1,1,1]
[8,2,6,1,4,7,5,3] => [1,2,3,1,1]
[2,7,6,8,1,4,3,5] => [2,2,2,2]
[3,7,1,6,4,8,2,5] => [2,2,2,2]
[1,7,3,5,6,8,2,4] => [2,4,2]
[1,3,6,7,5,8,2,4] => [4,2,2]
[3,7,6,5,8,2,1,4] => [2,1,2,1,2]
[3,6,8,5,7,2,4,1] => [3,2,2,1]
[2,3,5,7,6,8,1,4] => [4,2,2]
[2,1,6,5,7,8,3,4] => [1,2,3,2]
[4,2,7,6,8,3,1,5] => [1,2,2,1,2]
[4,2,6,8,7,3,5,1] => [1,3,1,2,1]
[3,8,2,4,6,7,5,1] => [2,4,1,1]
[3,7,2,6,4,8,1,5] => [2,2,2,2]
[3,2,6,1,4,7,8,5] => [1,2,4,1]
[5,3,7,2,1,8,4,6] => [1,2,1,2,2]
[4,7,3,2,1,5,8,6] => [2,1,1,3,1]
[8,7,6,1,3,4,2,5] => [1,1,1,3,2]
[8,5,7,3,2,1,6,4] => [1,2,1,1,2,1]
[8,3,6,7,2,1,5,4] => [1,3,1,2,1]
[3,7,8,6,2,1,5,4] => [3,1,1,2,1]
[8,7,6,3,5,2,4,1] => [1,1,1,2,2,1]
[2,7,4,8,1,6,5,3] => [2,2,2,1,1]
[4,6,8,2,1,7,5,3] => [3,1,2,1,1]
[8,4,1,5,7,2,6,3] => [1,1,3,2,1]
[8,5,3,7,1,6,2,4] => [1,1,2,2,2]
[8,5,7,2,1,3,6,4] => [1,2,1,3,1]
[8,2,6,7,1,3,5,4] => [1,3,3,1]
[8,3,6,1,7,5,2,4] => [1,2,2,1,2]
[4,6,1,8,7,2,5,3] => [2,2,1,2,1]
[8,1,2,5,6,7,4,3] => [1,5,1,1]
[8,2,6,5,7,4,1,3] => [1,2,2,1,2]
[2,1,7,8,5,6,4,3] => [1,3,2,1,1]
[8,2,5,7,6,4,3,1] => [1,3,1,1,1,1]
[2,7,6,8,5,4,1,3] => [2,2,1,1,2]
[1,7,2,5,8,6,4,3] => [2,3,1,1,1]
[1,7,4,8,2,6,5,3] => [2,2,2,1,1]
[3,7,8,1,6,5,2,4] => [3,2,1,2]
[2,7,8,6,1,3,5,4] => [3,1,3,1]
[8,7,6,3,5,1,4,2] => [1,1,1,2,2,1]
[8,4,7,6,5,1,3,2] => [1,2,1,1,2,1]
[8,7,1,5,6,4,3,2] => [1,1,3,1,1,1]
[8,1,6,7,5,4,3,2] => [1,3,1,1,1,1]
[6,5,3,1,2,4,8,7] => [1,1,1,4,1]
[4,6,3,5,1,2,8,7] => [2,2,3,1]
[8,5,3,7,2,1,4,6] => [1,1,2,1,3]
[6,8,1,4,5,7,3,2] => [2,4,1,1]
[8,7,2,4,5,1,3,6] => [1,1,3,3]
[3,6,2,4,5,1,8,7] => [2,3,2,1]
[2,6,1,4,5,3,8,7] => [2,3,2,1]
[6,1,2,4,5,3,8,7] => [1,4,2,1]
[5,6,3,2,1,4,8,7] => [2,1,1,3,1]
[5,4,3,6,1,2,8,7] => [1,1,2,3,1]
[6,3,1,4,5,2,8,7] => [1,1,3,2,1]
[3,1,6,4,5,2,8,7] => [1,2,2,2,1]
[8,3,7,4,5,1,2,6] => [1,2,2,3]
[5,8,7,4,2,6,3,1] => [2,1,1,2,1,1]
[2,8,7,4,1,6,3,5] => [2,1,1,2,2]
[8,1,7,4,2,6,3,5] => [1,2,1,2,2]
[3,7,8,4,5,1,2,6] => [3,2,3]
[2,1,8,7,5,3,4,6] => [1,2,1,1,3]
[2,1,6,8,5,7,3,4] => [1,3,2,2]
[5,6,3,8,1,7,2,4] => [2,2,2,2]
[7,6,1,4,5,8,3,2] => [1,1,4,1,1]
[3,7,6,4,5,8,2,1] => [2,1,3,1,1]
[8,5,7,4,1,6,3,2] => [1,2,1,2,1,1]
[5,1,8,4,7,6,2,3] => [1,2,2,1,2]
[2,5,8,4,7,6,1,3] => [3,2,1,2]
[2,4,8,3,5,6,7,1] => [3,4,1]
[4,1,8,3,5,6,7,2] => [1,2,4,1]
[3,8,4,2,5,6,7,1] => [2,1,4,1]
[8,4,1,3,5,6,7,2] => [1,1,5,1]
[7,5,8,4,3,6,1,2] => [1,2,1,2,2]
[6,5,3,8,4,1,7,2] => [1,1,2,1,2,1]
[2,1,5,8,4,6,7,3] => [1,3,3,1]
[2,1,4,8,3,6,7,5] => [1,3,3,1]
[6,4,3,8,2,1,7,5] => [1,1,2,1,2,1]
[7,3,8,4,2,6,1,5] => [1,2,1,2,2]
[8,3,1,2,5,6,7,4] => [1,1,5,1]
[3,1,8,2,5,6,7,4] => [1,2,4,1]
[2,3,8,1,5,6,7,4] => [3,4,1]
[4,3,8,2,5,6,7,1] => [1,2,4,1]
[4,8,2,3,5,6,7,1] => [2,5,1]
[3,8,2,1,5,6,7,4] => [2,1,4,1]
[2,8,1,3,5,6,7,4] => [2,5,1]
[8,1,2,3,5,6,7,4] => [1,6,1]
[7,8,2,4,3,6,1,5] => [2,2,2,2]
[6,8,3,2,4,1,7,5] => [2,1,2,2,1]
[2,1,8,3,4,6,7,5] => [1,2,4,1]
[2,1,7,8,5,4,3,6] => [1,3,1,1,2]
[5,7,3,8,1,4,2,6] => [2,2,2,2]
[7,1,8,4,5,3,2,6] => [1,2,2,1,2]
[2,7,8,4,5,3,1,6] => [3,2,1,2]
[8,7,1,4,3,6,2,5] => [1,1,2,2,2]
[3,8,7,4,2,6,1,5] => [2,1,1,2,2]
[5,7,8,4,3,6,2,1] => [3,1,2,1,1]
[5,6,3,8,4,2,7,1] => [2,2,1,2,1]
[4,8,3,6,2,1,7,5] => [2,2,1,2,1]
[8,6,3,1,4,2,7,5] => [1,1,1,2,2,1]
[7,5,3,8,2,4,1,6] => [1,1,2,2,2]
[2,4,3,1,8,5,7,6] => [2,1,2,2,1]
[4,1,3,2,6,8,7,5] => [1,2,3,1,1]
[7,5,3,6,2,8,1,4] => [1,1,2,2,2]
[8,6,3,5,1,2,7,4] => [1,1,2,3,1]
[5,8,3,2,6,1,7,4] => [2,1,2,2,1]
[4,5,3,8,6,2,7,1] => [2,2,1,2,1]
[3,5,8,4,7,6,2,1] => [3,2,1,1,1]
[5,8,2,4,7,6,1,3] => [2,3,1,2]
[8,7,5,4,1,6,2,3] => [1,1,1,1,2,2]
[2,7,6,4,5,8,1,3] => [2,1,3,2]
[7,1,6,4,5,8,2,3] => [1,2,3,2]
[5,7,3,6,1,8,2,4] => [2,2,2,2]
[2,1,7,6,5,8,3,4] => [1,2,1,2,2]
[2,1,8,5,3,6,7,4] => [1,2,1,3,1]
[6,8,3,5,2,1,7,4] => [2,2,1,2,1]
[7,8,5,4,2,6,1,3] => [2,1,1,2,2]
[8,1,4,2,5,6,7,3] => [1,2,4,1]
[2,8,4,1,5,6,7,3] => [2,1,4,1]
[4,8,1,2,5,6,7,3] => [2,5,1]
[3,4,8,1,5,6,7,2] => [3,4,1]
[3,4,2,8,5,6,7,1] => [2,2,3,1]
[2,4,1,8,5,6,7,3] => [2,2,3,1]
[4,1,2,8,5,6,7,3] => [1,3,3,1]
[8,4,2,1,5,6,7,3] => [1,1,1,4,1]
[7,5,2,4,8,6,1,3] => [1,1,3,1,2]
[6,5,3,2,8,1,7,4] => [1,1,1,2,2,1]
[2,1,5,3,8,6,7,4] => [1,2,2,2,1]
[6,4,3,5,8,1,7,2] => [1,1,3,2,1]
[7,3,5,4,8,6,1,2] => [1,2,2,1,2]
[8,3,4,1,5,6,7,2] => [1,2,4,1]
[4,3,1,8,5,6,7,2] => [1,1,2,3,1]
[3,1,4,8,5,6,7,2] => [1,3,3,1]
[6,5,3,7,2,8,4,1] => [1,1,2,2,1,1]
[6,3,7,4,5,8,2,1] => [1,2,3,1,1]
[6,7,2,4,5,8,3,1] => [2,4,1,1]
[5,1,7,4,8,6,3,2] => [1,2,2,1,1,1]
[2,5,7,4,8,6,3,1] => [3,2,1,1,1]
[5,6,3,7,1,8,4,2] => [2,2,2,1,1]
[3,8,7,4,5,2,1,6] => [2,1,2,1,2]
[3,7,5,4,8,6,2,1] => [2,1,2,1,1,1]
[5,7,1,4,8,6,2,3] => [2,3,1,2]
[5,6,3,1,8,2,7,4] => [2,1,2,2,1]
[4,6,3,5,8,2,7,1] => [2,3,2,1]
[4,6,3,8,1,2,7,5] => [2,2,3,1]
[3,7,8,4,1,6,2,5] => [3,1,2,2]
[3,2,5,1,6,8,4,7] => [1,2,3,2]
[3,6,2,5,4,8,1,7] => [2,2,2,2]
[3,5,2,4,7,1,8,6] => [2,3,2,1]
[3,5,8,2,4,7,6,1] => [3,3,1,1]
[4,2,5,8,3,7,6,1] => [1,3,2,1,1]
[4,2,6,5,3,8,1,7] => [1,2,1,2,2]
[5,4,2,1,6,8,3,7] => [1,1,1,3,2]
[6,3,5,1,4,8,2,7] => [1,2,3,2]
[4,6,1,5,3,8,2,7] => [2,2,2,2]
[5,1,6,4,3,8,2,7] => [1,2,1,2,2]
[5,4,3,2,7,1,8,6] => [1,1,1,2,2,1]
[5,4,3,8,2,7,6,1] => [1,1,2,2,1,1]
[4,3,6,2,8,7,5,1] => [1,2,2,1,1,1]
[4,3,7,6,2,1,8,5] => [1,2,1,1,2,1]
[6,4,3,1,7,2,8,5] => [1,1,1,2,2,1]
[7,5,4,3,1,8,2,6] => [1,1,1,1,2,2]
[1,4,7,5,8,3,2,6] => [3,2,1,2]
[7,1,3,5,8,4,2,6] => [1,4,1,2]
[7,2,5,8,4,1,3,6] => [1,3,1,3]
[2,8,5,7,4,6,1,3] => [2,2,2,2]
[3,5,8,7,1,4,6,2] => [3,1,3,1]
[1,4,5,8,7,3,6,2] => [4,1,2,1]
[1,5,4,8,7,3,6,2] => [2,2,1,2,1]
[6,4,3,8,1,7,5,2] => [1,1,2,2,1,1]
[4,3,7,1,8,6,5,2] => [1,2,2,1,1,1]
[4,8,3,7,6,5,2,1] => [2,2,1,1,1,1]
[5,3,8,7,6,4,2,1] => [1,2,1,1,1,1,1]
[7,5,3,1,8,6,4,2] => [1,1,1,2,1,1,1]
[1,8,6,5,3,7,4,2] => [2,1,1,2,1,1]
[1,5,8,6,3,7,4,2] => [3,1,2,1,1]
[4,6,1,8,7,3,5,2] => [2,2,1,2,1]
[6,8,7,3,1,4,5,2] => [2,1,1,3,1]
[6,2,8,7,4,5,1,3] => [1,2,1,2,2]
[7,6,2,8,4,1,3,5] => [1,1,2,1,3]
[7,3,1,6,8,4,2,5] => [1,1,3,1,2]
[1,7,6,4,8,3,2,5] => [2,1,2,1,2]
[5,7,1,6,3,2,8,4] => [2,2,1,2,1]
[6,1,7,5,3,2,8,4] => [1,2,1,1,2,1]
[7,6,5,3,2,1,8,4] => [1,1,1,1,1,2,1]
[6,5,3,2,8,7,4,1] => [1,1,1,2,1,1,1]
[5,2,6,3,8,7,4,1] => [1,2,2,1,1,1]
[5,2,7,6,3,1,8,4] => [1,2,1,1,2,1]
[6,5,2,1,7,3,8,4] => [1,1,1,2,2,1]
[5,2,7,4,1,8,3,6] => [1,2,1,2,2]
[4,7,2,6,3,1,8,5] => [2,2,1,2,1]
[2,4,8,6,3,7,5,1] => [3,1,2,1,1]
[3,8,6,2,4,7,5,1] => [2,1,3,1,1]
[7,3,6,2,4,1,8,5] => [1,2,2,2,1]
[3,6,7,2,1,4,8,5] => [3,1,3,1]
[4,3,7,8,2,1,5,6] => [1,3,1,3]
[8,3,7,1,4,6,2,5] => [1,2,3,2]
[3,8,2,5,7,1,6,4] => [2,3,2,1]
[8,3,6,2,7,1,5,4] => [1,2,2,2,1]
[7,8,3,6,2,1,5,4] => [2,2,1,2,1]
[8,7,3,6,2,5,4,1] => [1,1,2,2,1,1]
[4,7,8,2,1,6,5,3] => [3,1,2,1,1]
[4,2,6,8,1,7,5,3] => [1,3,2,1,1]
[5,4,8,2,7,1,6,3] => [1,2,2,2,1]
[4,8,1,5,7,2,6,3] => [2,3,2,1]
[5,8,3,7,1,6,2,4] => [2,2,2,2]
[5,8,7,2,6,1,3,4] => [2,1,2,3]
[8,6,2,7,5,1,3,4] => [1,1,2,1,3]
[3,6,8,1,7,5,2,4] => [3,2,1,2]
[5,1,6,8,2,7,4,3] => [1,3,2,1,1]
[6,5,2,8,1,7,4,3] => [1,1,2,2,1,1]
[5,2,7,1,8,6,4,3] => [1,2,2,1,1,1]
[5,8,2,7,6,4,3,1] => [2,2,1,1,1,1]
[6,2,8,7,5,4,3,1] => [1,2,1,1,1,1,1]
[7,6,2,1,8,5,4,3] => [1,1,1,2,1,1,1]
[6,1,7,2,8,5,4,3] => [1,2,2,1,1,1]
[7,5,1,8,2,6,4,3] => [1,1,2,2,1,1]
[4,7,1,8,6,2,5,3] => [2,2,1,2,1]
[7,8,3,1,6,5,2,4] => [2,1,2,1,2]
[8,7,4,6,1,5,3,2] => [1,1,2,2,1,1]
[8,5,7,1,6,4,3,2] => [1,2,2,1,1,1]
[6,8,1,7,5,4,3,2] => [2,2,1,1,1,1]
[7,1,8,6,5,4,3,2] => [1,2,1,1,1,1,1]
[5,4,2,3,7,6,1,8] => [1,1,3,1,2]
[6,4,2,7,3,5,1,8] => [1,1,2,2,2]
[7,4,2,6,3,5,1,8] => [1,1,2,2,2]
[8,4,2,6,3,1,5,7] => [1,1,2,1,3]
[3,2,7,6,4,5,1,8] => [1,2,1,2,2]
[4,7,2,6,3,5,1,8] => [2,2,2,2]
[5,7,6,2,3,4,1,8] => [2,1,3,2]
[1,6,5,2,3,8,4,7] => [2,1,3,2]
[1,7,5,2,8,3,4,6] => [2,1,2,3]
[6,8,5,2,3,1,4,7] => [2,1,2,3]
[5,8,6,2,3,1,4,7] => [2,1,2,3]
[4,8,2,6,3,1,5,7] => [2,2,1,3]
[3,2,8,6,4,1,5,7] => [1,2,1,1,3]
[3,2,1,6,4,8,5,7] => [1,1,2,2,2]
[7,1,5,2,8,3,4,6] => [1,2,2,3]
[1,8,5,2,7,3,4,6] => [2,1,2,3]
[1,8,6,7,2,3,4,5] => [2,2,4]
[8,1,6,7,2,3,4,5] => [1,3,4]
[7,1,6,8,2,3,4,5] => [1,3,4]
[3,2,1,7,8,4,5,6] => [1,1,3,3]
[3,2,8,7,1,4,5,6] => [1,2,1,4]
[5,8,7,2,1,3,4,6] => [2,1,1,4]
[1,7,6,8,2,3,4,5] => [2,2,4]
[6,5,8,2,3,1,4,7] => [1,2,2,3]
[8,5,7,2,1,3,4,6] => [1,2,1,4]
[6,4,2,8,3,1,5,7] => [1,1,2,1,3]
[5,4,2,3,8,1,6,7] => [1,1,3,3]
[3,2,5,4,1,8,6,7] => [1,2,1,2,2]
[4,5,2,3,1,8,6,7] => [2,2,2,2]
[5,4,2,3,1,8,6,7] => [1,1,2,2,2]
[6,4,2,1,3,8,5,7] => [1,1,1,3,2]
[7,4,2,1,8,3,5,6] => [1,1,1,2,3]
[8,4,2,1,7,3,5,6] => [1,1,1,2,3]
[1,4,2,8,7,3,5,6] => [2,2,1,3]
[1,5,8,2,7,3,4,6] => [3,2,3]
[8,5,1,2,7,3,4,6] => [1,1,3,3]
[7,5,1,2,8,3,4,6] => [1,1,3,3]
[6,5,1,2,3,8,4,7] => [1,1,4,2]
[4,6,2,1,3,8,5,7] => [2,1,3,2]
[3,2,6,1,4,8,5,7] => [1,2,3,2]
[3,2,7,1,8,4,5,6] => [1,2,2,3]
[4,7,2,1,8,3,5,6] => [2,1,2,3]
[7,6,1,8,2,3,4,5] => [1,1,2,4]
[8,6,1,7,2,3,4,5] => [1,1,2,4]
[1,6,8,7,2,3,4,5] => [3,1,4]
[1,7,8,6,2,3,4,5] => [3,1,4]
[7,8,1,6,2,3,4,5] => [2,2,4]
[6,8,1,7,2,3,4,5] => [2,2,4]
[4,8,2,1,7,3,5,6] => [2,1,2,3]
[3,2,8,1,7,4,5,6] => [1,2,2,3]
[3,2,1,8,7,4,5,6] => [1,1,2,1,3]
[5,1,8,2,7,3,4,6] => [1,2,2,3]
[6,1,8,7,2,3,4,5] => [1,2,1,4]
[8,1,7,6,2,3,4,5] => [1,2,1,4]
[1,8,7,6,2,3,4,5] => [2,1,1,4]
[6,3,5,1,2,4,8,7] => [1,2,4,1]
[4,3,5,6,1,2,8,7] => [1,3,3,1]
[8,3,7,5,2,1,4,6] => [1,2,1,1,3]
[6,3,7,5,1,8,4,2] => [1,2,1,2,1,1]
[6,5,2,7,1,8,3,4] => [1,1,2,2,2]
[8,5,2,7,4,1,3,6] => [1,1,2,1,3]
[2,6,1,5,4,3,8,7] => [2,2,1,2,1]
[6,4,3,5,1,2,8,7] => [1,1,2,3,1]
[5,3,1,4,6,2,8,7] => [1,1,3,2,1]
[3,1,4,6,5,2,8,7] => [1,3,1,2,1]
[5,7,4,6,2,8,3,1] => [2,2,2,1,1]
[8,1,4,7,2,6,3,5] => [1,3,2,2]
[3,4,7,8,5,2,1,6] => [4,1,1,2]
[2,1,8,5,7,3,4,6] => [1,2,2,3]
[8,6,3,5,1,7,4,2] => [1,1,2,2,1,1]
[5,8,2,4,6,7,3,1] => [2,4,1,1]
[3,4,8,6,5,7,1,2] => [3,1,2,2]
[7,5,4,8,1,6,3,2] => [1,1,2,2,1,1]
[5,1,4,6,8,2,7,3] => [1,4,2,1]
[2,5,4,6,7,1,8,3] => [2,3,2,1]
[2,4,6,3,7,5,8,1] => [3,2,2,1]
[4,1,6,3,8,5,7,2] => [1,2,2,2,1]
[3,7,4,2,8,6,5,1] => [2,1,2,1,1,1]
[7,4,1,3,5,8,6,2] => [1,1,4,1,1]
[6,5,8,4,1,7,3,2] => [1,2,1,2,1,1]
[8,5,3,7,4,1,6,2] => [1,1,2,1,2,1]
[2,1,4,8,3,7,6,5] => [1,3,2,1,1]
[7,4,3,8,2,1,6,5] => [1,1,2,1,2,1]
[6,3,7,4,1,8,2,5] => [1,2,1,2,2]
[8,3,1,2,5,7,6,4] => [1,1,4,1,1]
[3,1,8,2,7,6,5,4] => [1,2,2,1,1,1]
[2,3,8,1,6,7,5,4] => [3,3,1,1]
[4,3,7,2,6,8,5,1] => [1,2,3,1,1]
[4,7,2,3,8,5,6,1] => [2,3,2,1]
[3,8,2,1,7,5,6,4] => [2,1,2,2,1]
[2,8,1,3,6,5,7,4] => [2,3,2,1]
[2,7,8,5,4,3,1,6] => [3,1,1,1,2]
[8,7,1,6,3,4,2,5] => [1,1,2,2,2]
[3,8,6,7,2,4,1,5] => [2,2,2,2]
[5,3,8,7,4,2,6,1] => [1,2,1,1,2,1]
[4,3,8,7,2,1,6,5] => [1,2,1,1,2,1]
[8,3,6,1,4,2,7,5] => [1,2,2,2,1]
[7,3,5,8,2,4,1,6] => [1,3,2,2]
[2,3,4,1,8,5,7,6] => [3,2,2,1]
[4,1,3,2,6,7,8,5] => [1,2,4,1]
[8,3,5,6,2,7,1,4] => [1,3,2,2]
[5,3,6,1,8,7,2,4] => [1,2,2,1,2]
[5,6,2,8,7,4,1,3] => [2,2,1,1,2]
[7,8,5,6,1,4,2,3] => [2,2,2,2]
[2,8,6,5,4,7,1,3] => [2,1,1,2,2]
[8,1,6,4,5,7,2,3] => [1,2,3,2]
[5,8,3,6,1,7,2,4] => [2,2,2,2]
[2,1,8,6,5,7,3,4] => [1,2,1,2,2]
[2,1,7,5,3,6,8,4] => [1,2,1,3,1]
[6,7,3,5,2,1,8,4] => [2,2,1,2,1]
[7,1,4,2,5,6,8,3] => [1,2,4,1]
[2,7,4,1,6,5,8,3] => [2,1,2,2,1]
[4,6,1,2,8,7,3,5] => [2,3,1,2]
[2,4,1,5,8,7,6,3] => [2,3,1,1,1]
[4,1,2,5,8,6,7,3] => [1,4,2,1]
[6,4,2,1,5,8,7,3] => [1,1,1,3,1,1]
[8,5,2,4,6,1,7,3] => [1,1,3,2,1]
[7,5,3,2,6,8,1,4] => [1,1,1,3,2]
[2,1,5,3,6,8,7,4] => [1,2,3,1,1]
[7,3,5,4,6,1,8,2] => [1,2,2,2,1]
[6,3,4,1,5,7,8,2] => [1,2,4,1]
[4,3,1,5,7,6,8,2] => [1,1,3,2,1]
[3,1,4,5,6,8,7,2] => [1,5,1,1]
[4,5,2,6,3,1,8,7] => [2,2,1,2,1]
[6,5,2,1,4,3,8,7] => [1,1,1,2,2,1]
[6,5,2,7,4,8,3,1] => [1,1,2,2,1,1]
[8,5,2,7,4,1,6,3] => [1,1,2,1,2,1]
[8,3,7,5,2,1,6,4] => [1,2,1,1,2,1]
[6,3,7,5,2,8,4,1] => [1,2,1,2,1,1]
[3,1,6,5,4,2,8,7] => [1,2,1,1,2,1]
[5,6,3,2,4,1,8,7] => [2,1,2,2,1]
[3,6,2,4,1,5,8,7] => [2,2,3,1]
[2,6,1,3,5,4,8,7] => [2,3,2,1]
[6,7,2,3,4,8,5,1] => [2,4,1,1]
[8,7,2,3,4,1,6,5] => [1,1,3,2,1]
[5,1,7,3,8,4,6,2] => [1,2,2,2,1]
[2,5,7,3,8,6,4,1] => [3,2,1,1,1]
[7,6,1,3,5,8,4,2] => [1,1,4,1,1]
[3,6,7,4,1,8,5,2] => [3,1,2,1,1]
[5,6,3,7,4,8,1,2] => [2,2,2,2]
[2,1,6,7,4,8,5,3] => [1,3,2,1,1]
[2,1,8,7,4,3,6,5] => [1,2,1,1,2,1]
[5,8,3,7,4,2,6,1] => [2,2,1,2,1]
[3,8,7,4,1,2,6,5] => [2,1,1,3,1]
[7,8,1,3,5,2,6,4] => [2,3,2,1]
[5,8,7,3,2,6,1,4] => [2,1,1,2,2]
[2,8,6,3,1,5,7,4] => [2,1,1,3,1]
[8,1,6,3,2,5,4,7] => [1,2,1,2,2]
[2,8,4,1,6,3,7,5] => [2,1,2,2,1]
[4,8,1,2,7,6,3,5] => [2,3,1,2]
[3,8,4,2,5,7,1,6] => [2,1,3,2]
[6,8,3,5,2,7,4,1] => [2,2,2,1,1]
[2,1,5,3,8,7,6,4] => [1,2,2,1,1,1]
[6,5,3,2,8,7,1,4] => [1,1,1,2,1,2]
[7,5,2,4,8,1,6,3] => [1,1,3,2,1]
[3,4,2,8,5,7,6,1] => [2,2,2,1,1]
[2,4,1,8,7,6,5,3] => [2,2,1,1,1,1]
[8,4,2,1,7,5,3,6] => [1,1,1,2,1,2]
[4,3,1,8,6,7,5,2] => [1,1,2,2,1,1]
[3,1,4,8,6,5,7,2] => [1,3,1,2,1]
[7,1,6,5,4,8,2,3] => [1,2,1,2,2]
[3,7,5,6,8,4,2,1] => [2,3,1,1,1]
[5,7,1,6,8,2,4,3] => [2,3,2,1]
[8,6,2,5,1,7,4,3] => [1,1,2,2,1,1]
[5,6,2,1,8,7,3,4] => [2,1,2,1,2]
[4,6,2,5,8,3,7,1] => [2,3,2,1]
[7,5,2,6,3,8,1,4] => [1,1,2,2,2]
[4,1,2,3,6,8,7,5] => [1,5,1,1]
[2,4,3,1,8,5,6,7] => [2,1,2,3]
[7,5,2,8,3,4,6,1] => [1,1,2,3,1]
[5,6,2,8,4,3,1,7] => [2,2,1,1,2]
[4,7,2,8,1,5,3,6] => [2,2,2,2]
[8,7,2,1,4,5,6,3] => [1,1,1,4,1]
[3,6,8,7,1,5,4,2] => [3,1,2,1,1]
[5,7,8,6,3,4,1,2] => [3,1,2,2]
[7,1,8,5,4,3,6,2] => [1,2,1,1,2,1]
[2,7,8,4,5,3,6,1] => [3,2,2,1]
[5,7,3,8,1,4,6,2] => [2,2,3,1]
[2,1,7,8,5,4,6,3] => [1,3,1,2,1]
[2,1,5,8,4,6,3,7] => [1,3,2,2]
[6,5,3,8,4,1,2,7] => [1,1,2,1,3]
[7,5,8,4,3,6,2,1] => [1,2,1,2,1,1]
[2,4,8,3,5,6,1,7] => [3,3,2]
[4,1,8,3,6,5,2,7] => [1,2,2,1,2]
[3,4,8,1,7,2,5,6] => [3,2,3]
[8,4,1,3,7,2,6,5] => [1,1,3,2,1]
[3,1,8,2,4,7,6,5] => [1,2,3,1,1]
[2,3,8,1,4,6,7,5] => [3,4,1]
[4,3,8,2,5,1,7,6] => [1,2,2,2,1]
[6,3,8,4,2,5,7,1] => [1,2,1,3,1]
[7,4,3,8,2,5,1,6] => [1,1,2,2,2]
[2,1,4,8,3,5,7,6] => [1,3,3,1]
[6,8,2,4,3,5,1,7] => [2,2,2,2]
[4,8,2,3,5,1,6,7] => [2,3,3]
[3,8,2,1,4,6,5,7] => [2,1,3,2]
[2,8,1,3,4,5,7,6] => [2,5,1]
[2,8,4,1,6,5,3,7] => [2,1,2,1,2]
[2,8,4,1,6,5,7,3] => [2,1,2,2,1]
[2,8,7,6,1,4,3,5] => [2,1,1,2,2]
[2,8,5,6,7,4,3,1] => [2,3,1,1,1]
[7,5,8,6,1,4,2,3] => [1,2,1,2,2]
[3,5,7,6,1,4,2,8] => [3,1,2,2]
[3,5,7,2,4,1,6,8] => [3,2,3]
[7,5,8,2,4,1,6,3] => [1,2,2,2,1]
[2,8,5,3,4,7,6,1] => [2,1,3,1,1]
[2,8,5,3,4,1,7,6] => [2,1,2,2,1]
[2,8,5,3,4,1,6,7] => [2,1,2,3]
[2,8,7,6,1,4,5,3] => [2,1,1,3,1]
[2,8,5,3,6,1,7,4] => [2,1,2,2,1]
[2,8,5,6,7,4,1,3] => [2,3,1,2]
[2,8,5,3,4,7,1,6] => [2,1,3,2]
[2,8,5,3,4,6,1,7] => [2,1,3,2]
[2,8,5,3,4,6,7,1] => [2,1,4,1]
[3,5,7,2,4,6,1,8] => [3,3,2]
[6,5,2,7,3,1,4,8] => [1,1,2,1,3]
[6,5,2,8,3,1,7,4] => [1,1,2,1,2,1]
[6,5,2,8,3,1,4,7] => [1,1,2,1,3]
[7,5,8,2,4,6,3,1] => [1,2,3,1,1]
[7,5,8,6,1,4,3,2] => [1,2,1,2,1,1]
[6,5,8,2,1,3,7,4] => [1,2,1,3,1]
[3,5,6,2,1,8,7,4] => [3,1,2,1,1]
[3,5,7,6,1,4,8,2] => [3,1,3,1]
[3,5,7,2,4,1,8,6] => [3,2,2,1]
[3,5,7,2,4,6,8,1] => [3,4,1]
[6,5,2,7,3,1,8,4] => [1,1,2,1,2,1]
[4,5,2,6,3,1,7,8] => [2,2,1,3]
[4,1,2,3,7,6,8,5] => [1,4,2,1]
[6,5,2,7,3,4,8,1] => [1,1,2,3,1]
[5,1,6,7,4,3,8,2] => [1,3,1,2,1]
[5,1,2,6,4,8,7,3] => [1,3,2,1,1]
[5,1,2,8,6,4,7,3] => [1,3,1,2,1]
[5,1,6,8,7,3,4,2] => [1,3,1,2,1]
[6,5,2,8,3,7,4,1] => [1,1,2,2,1,1]
[4,1,2,3,8,7,5,6] => [1,4,1,2]
[4,1,2,3,8,6,5,7] => [1,4,1,2]
[4,1,2,3,8,6,7,5] => [1,4,2,1]
[4,1,2,3,7,6,5,8] => [1,4,1,2]
[4,1,2,3,8,5,7,6] => [1,4,2,1]
[7,1,6,8,4,3,5,2] => [1,3,1,2,1]
[6,1,2,8,4,5,7,3] => [1,3,3,1]
[5,6,8,2,3,1,7,4] => [3,2,2,1]
[6,5,8,2,4,3,1,7] => [1,2,2,1,2]
[6,5,8,2,4,3,7,1] => [1,2,2,2,1]
[7,5,2,8,3,4,1,6] => [1,1,2,2,2]
[6,5,2,8,3,7,1,4] => [1,1,2,2,2]
[6,5,2,7,3,4,1,8] => [1,1,2,2,2]
[5,1,6,7,4,3,2,8] => [1,3,1,1,2]
[5,1,6,8,7,3,2,4] => [1,3,1,1,2]
[7,1,6,8,4,3,2,5] => [1,3,1,1,2]
[5,7,8,6,3,4,2,1] => [3,1,2,1,1]
[4,1,8,3,6,5,7,2] => [1,2,2,2,1]
[4,1,8,3,6,2,7,5] => [1,2,2,2,1]
[3,1,4,8,6,2,7,5] => [1,3,1,2,1]
[3,1,4,8,6,5,2,7] => [1,3,1,1,2]
[7,1,6,5,8,3,2,4] => [1,2,2,1,2]
[4,1,6,7,8,3,2,5] => [1,4,1,2]
[4,1,6,5,7,3,2,8] => [1,2,2,1,2]
[4,5,2,6,3,7,1,8] => [2,2,2,2]
[4,5,2,7,3,8,1,6] => [2,2,2,2]
[3,5,6,2,4,8,7,1] => [3,3,1,1]
[3,5,6,2,4,8,1,7] => [3,3,2]
[3,7,5,6,8,4,1,2] => [2,3,1,2]
[3,6,5,2,8,1,7,4] => [2,1,2,2,1]
[6,1,2,5,8,4,7,3] => [1,4,2,1]
[7,1,6,5,8,3,4,2] => [1,2,2,2,1]
[7,5,2,6,3,8,4,1] => [1,1,2,2,1,1]
[4,1,2,3,5,8,7,6] => [1,5,1,1]
[4,1,2,3,7,8,6,5] => [1,5,1,1]
[4,5,2,7,3,8,6,1] => [2,2,2,1,1]
[4,1,6,7,8,3,5,2] => [1,4,2,1]
[4,1,2,6,8,5,7,3] => [1,4,2,1]
[4,1,2,5,6,8,7,3] => [1,5,1,1]
[4,5,2,6,3,7,8,1] => [2,2,3,1]
[7,8,5,6,1,4,3,2] => [2,2,2,1,1]
[7,8,4,2,1,5,3,6] => [2,1,1,2,2]
[7,8,2,1,6,5,3,4] => [2,1,2,1,2]
[6,4,1,2,5,7,3,8] => [1,1,4,2]
[2,4,8,1,5,7,3,6] => [3,3,2]
[4,3,8,1,7,2,5,6] => [1,2,2,3]
[6,3,1,4,7,2,5,8] => [1,1,3,3]
[7,8,3,4,5,1,6,2] => [2,3,2,1]
[7,8,3,5,4,2,1,6] => [2,2,1,1,2]
[7,8,4,1,2,3,6,5] => [2,1,4,1]
[7,8,3,6,5,4,1,2] => [2,2,1,1,2]
[7,8,2,1,5,3,4,6] => [2,1,2,3]
[7,8,2,6,4,1,3,5] => [2,2,1,3]
[7,8,2,5,6,4,1,3] => [2,3,1,2]
[7,8,1,6,5,4,3,2] => [2,2,1,1,1,1]
[6,2,1,7,5,4,3,8] => [1,1,2,1,1,2]
[2,1,8,7,5,4,3,6] => [1,2,1,1,1,2]
[1,3,8,2,6,4,7,5] => [3,2,2,1]
[5,3,7,1,6,4,8,2] => [1,2,2,2,1]
[5,3,6,2,7,4,1,8] => [1,2,2,1,2]
[6,1,2,5,8,7,4,3] => [1,4,1,1,1]
[6,3,1,8,4,2,7,5] => [1,1,2,1,2,1]
[6,4,2,1,5,3,8,7] => [1,1,1,2,2,1]
[6,4,3,7,5,8,1,2] => [1,1,2,2,2]
[4,3,8,7,5,6,1,2] => [1,2,1,2,2]
[2,4,7,1,5,3,6,8] => [3,2,3]
[1,3,7,6,4,2,8,5] => [3,1,1,2,1]
[2,1,7,5,6,8,4,3] => [1,2,3,1,1]
[3,7,2,8,6,4,1,5] => [2,2,1,1,2]
[3,8,1,7,6,4,5,2] => [2,2,1,2,1]
[1,8,5,7,3,6,4,2] => [2,2,2,1,1]
[2,7,5,8,3,6,1,4] => [2,2,2,2]
[1,5,6,8,2,4,7,3] => [4,3,1]
[2,6,8,5,3,1,4,7] => [3,1,1,3]
[2,6,1,4,7,3,5,8] => [2,3,3]
[5,6,7,3,8,4,1,2] => [3,2,1,2]
[5,2,8,1,4,7,3,6] => [1,2,3,2]
[4,6,7,5,2,1,3,8] => [3,1,1,3]
[4,5,6,7,2,8,1,3] => [4,2,2]
[4,5,7,6,1,8,3,2] => [3,1,2,1,1]
[1,5,8,6,2,7,3,4] => [3,1,2,2]
[1,6,5,8,3,2,7,4] => [2,2,1,2,1]
[4,6,5,7,1,2,8,3] => [2,2,3,1]
[4,7,5,6,3,1,8,2] => [2,2,1,2,1]
[5,1,6,3,4,2,8,7] => [1,2,2,2,1]
[5,7,1,4,2,3,8,6] => [2,2,3,1]
[5,7,6,4,3,8,1,2] => [2,1,1,2,2]
[6,3,4,5,8,7,1,2] => [1,4,1,2]
[6,2,4,1,8,3,7,5] => [1,2,2,2,1]
[6,2,3,5,4,8,1,7] => [1,3,2,2]
[6,1,3,4,5,8,7,2] => [1,5,1,1]
[5,1,4,2,7,6,8,3] => [1,2,2,2,1]
[1,6,2,4,7,8,3,5] => [2,4,2]
[5,7,2,4,1,6,3,8] => [2,2,2,2]
[6,1,4,2,8,5,3,7] => [1,2,2,1,2]
[6,7,5,8,1,4,3,2] => [2,2,2,1,1]
[5,8,7,6,3,4,1,2] => [2,1,1,2,2]
[5,8,7,6,2,3,1,4] => [2,1,1,2,2]
[4,1,7,2,6,5,3,8] => [1,2,2,1,2]
[4,8,2,1,5,6,3,7] => [2,1,3,2]
[4,2,7,8,1,6,3,5] => [1,3,2,2]
[2,1,8,7,6,5,3,4] => [1,2,1,1,1,2]
[3,1,4,7,8,2,6,5] => [1,4,2,1]
[3,1,7,4,5,6,8,2] => [1,2,4,1]
[4,2,7,1,6,3,8,5] => [1,2,2,2,1]
[4,3,7,5,6,8,1,2] => [1,2,3,2]
[4,8,6,3,5,7,1,2] => [2,1,3,2]
[4,8,1,2,5,3,7,6] => [2,3,2,1]
[3,8,6,5,2,4,1,7] => [2,1,1,2,2]
[3,8,5,6,1,4,7,2] => [2,2,3,1]
[5,3,7,8,2,1,6,4] => [1,3,1,2,1]
[5,2,8,7,1,6,4,3] => [1,2,1,2,1,1]
[1,6,8,7,5,2,4,3] => [3,1,1,2,1]
[3,6,7,8,5,1,4,2] => [4,1,2,1]
[3,7,6,8,5,2,1,4] => [2,2,1,1,2]
[3,7,8,5,1,2,4,6] => [3,1,4]
[3,7,1,6,4,2,5,8] => [2,2,1,3]
[4,1,8,6,2,3,5,7] => [1,2,1,4]
[4,7,8,6,3,5,1,2] => [3,1,2,2]
[3,8,7,6,5,4,1,2] => [2,1,1,1,1,2]
[2,1,7,6,5,3,4,8] => [1,2,1,1,3]
[2,8,1,6,4,5,3,7] => [2,2,2,2]
[2,8,7,5,1,4,3,6] => [2,1,1,2,2]
[2,8,6,7,5,1,3,4] => [2,2,1,3]
[2,7,8,6,5,4,1,3] => [3,1,1,1,2]
[6,3,1,2,7,4,8,5] => [1,1,3,2,1]
[6,4,2,7,1,3,8,5] => [1,1,2,3,1]
[7,4,2,5,1,3,8,6] => [1,1,2,3,1]
[7,5,3,6,1,8,2,4] => [1,1,2,2,2]
[8,5,3,6,1,7,2,4] => [1,1,2,2,2]
[7,3,6,2,4,8,1,5] => [1,2,3,2]
[4,3,7,1,2,5,8,6] => [1,2,4,1]
[3,6,2,7,1,4,8,5] => [2,2,3,1]
[5,3,6,7,1,2,8,4] => [1,3,3,1]
[6,3,7,4,1,2,8,5] => [1,2,1,3,1]
[4,7,1,5,2,3,8,6] => [2,2,3,1]
[3,7,5,1,2,4,8,6] => [2,1,4,1]
[7,6,4,2,3,8,1,5] => [1,1,1,3,2]
[8,6,4,2,3,7,1,5] => [1,1,1,3,2]
[4,7,6,3,8,1,2,5] => [2,1,2,3]
[5,7,4,2,3,8,1,6] => [2,1,3,2]
[3,7,6,1,4,8,2,5] => [2,1,3,2]
[5,7,2,6,1,8,3,4] => [2,2,2,2]
[6,4,7,5,2,8,1,3] => [1,2,1,2,2]
[7,4,8,5,2,6,1,3] => [1,2,1,2,2]
[5,8,2,6,3,7,1,4] => [2,2,2,2]
[3,8,6,1,2,7,4,5] => [2,1,3,2]
[3,8,6,2,4,7,1,5] => [2,1,3,2]
[6,8,4,3,7,1,2,5] => [2,1,2,3]
[6,8,5,3,7,1,2,4] => [2,1,2,3]
[3,8,5,7,1,2,4,6] => [2,2,4]
[2,8,5,7,1,3,4,6] => [2,2,4]
[4,8,6,2,7,1,3,5] => [2,1,2,3]
[6,3,7,5,8,1,2,4] => [1,2,2,3]
[2,7,6,4,8,1,3,5] => [2,1,2,3]
[2,6,5,8,1,3,4,7] => [2,2,4]
[3,6,5,8,1,2,4,7] => [2,2,4]
[2,5,7,4,8,1,3,6] => [3,2,3]
[5,4,6,7,2,8,1,3] => [1,3,2,2]
[4,6,3,7,1,8,2,5] => [2,2,2,2]
[3,5,7,1,4,8,2,6] => [3,3,2]
[5,3,7,2,4,8,1,6] => [1,2,3,2]
[5,4,7,3,8,1,2,6] => [1,2,2,3]
[7,4,6,3,8,1,2,5] => [1,2,2,3]
[8,4,6,3,7,1,2,5] => [1,2,2,3]
[8,4,1,6,7,2,3,5] => [1,1,3,3]
[7,4,1,6,8,2,3,5] => [1,1,3,3]
[5,4,1,7,8,2,3,6] => [1,1,3,3]
[6,5,3,7,1,8,2,4] => [1,1,2,2,2]
[6,5,1,2,7,8,3,4] => [1,1,4,2]
[5,3,6,4,7,8,1,2] => [1,2,3,2]
[6,3,7,4,8,5,1,2] => [1,2,2,1,2]
[4,7,1,5,8,6,2,3] => [2,3,1,2]
[7,5,1,2,8,6,3,4] => [1,1,3,1,2]
[7,5,3,8,1,6,2,4] => [1,1,2,2,2]
[7,4,1,8,6,2,3,5] => [1,1,2,1,3]
[7,6,1,8,5,2,3,4] => [1,1,2,1,3]
[8,6,1,7,5,2,3,4] => [1,1,2,1,3]
[5,7,2,8,1,6,3,4] => [2,2,2,2]
[6,4,7,8,2,5,1,3] => [1,3,2,2]
[6,3,7,8,5,1,2,4] => [1,3,1,3]
[3,6,8,2,7,1,4,5] => [3,2,3]
[2,4,8,7,1,3,5,6] => [3,1,4]
[4,3,8,7,1,2,5,6] => [1,2,1,4]
[5,3,8,7,1,2,4,6] => [1,2,1,4]
[8,3,7,6,1,2,4,5] => [1,2,1,4]
[8,4,7,6,1,2,3,5] => [1,2,1,4]
[5,4,8,7,1,2,3,6] => [1,2,1,4]
[3,5,8,7,1,2,4,6] => [3,1,4]
[2,5,8,7,1,3,4,6] => [3,1,4]
[4,6,8,2,7,1,3,5] => [3,2,3]
[4,7,1,8,6,2,3,5] => [2,2,1,3]
[7,5,8,6,4,1,2,3] => [1,2,1,1,3]
[6,8,4,7,5,1,2,3] => [2,2,1,3]
[5,8,7,1,6,2,3,4] => [2,1,2,3]
[2,8,7,6,1,3,4,5] => [2,1,1,4]
[3,8,7,6,1,2,4,5] => [2,1,1,4]
[4,8,7,6,1,2,3,5] => [2,1,1,4]
[5,6,3,1,4,2,8,7] => [2,1,2,2,1]
[7,5,3,8,2,1,6,4] => [1,1,2,1,2,1]
[3,8,7,4,5,1,6,2] => [2,1,2,2,1]
[6,7,1,4,5,8,2,3] => [2,4,2]
[2,1,7,8,5,3,6,4] => [1,3,1,2,1]
[5,7,3,8,1,2,6,4] => [2,2,3,1]
[8,7,1,4,5,3,2,6] => [1,1,3,1,2]
[2,7,8,4,1,6,5,3] => [3,1,2,1,1]
[7,1,8,4,2,6,5,3] => [1,2,1,2,1,1]
[7,5,1,4,8,6,3,2] => [1,1,3,1,1,1]
[6,5,3,1,8,4,7,2] => [1,1,1,2,2,1]
[6,4,3,8,1,5,7,2] => [1,1,2,3,1]
[8,6,3,1,2,5,7,4] => [1,1,1,4,1]
[8,7,1,4,2,6,5,3] => [1,1,2,2,1,1]
[7,3,8,4,1,6,5,2] => [1,2,1,2,1,1]
[3,6,4,5,7,2,8,1] => [2,3,2,1]
[5,3,2,7,4,6,8,1] => [1,1,2,3,1]
[7,5,3,6,2,4,8,1] => [1,1,2,3,1]
[6,3,2,5,1,8,4,7] => [1,1,2,2,2]
[8,5,3,6,2,7,1,4] => [1,1,2,2,2]
[8,2,6,3,4,7,1,5] => [1,2,3,2]
[7,2,6,3,4,5,8,1] => [1,2,4,1]
[6,2,7,3,4,5,8,1] => [1,2,4,1]
[3,6,2,7,4,5,8,1] => [2,2,3,1]
[4,2,5,7,3,6,8,1] => [1,3,3,1]
[5,4,7,6,2,3,8,1] => [1,2,1,3,1]
[6,7,3,5,2,4,8,1] => [2,2,3,1]
[3,7,6,2,4,5,8,1] => [2,1,4,1]
[2,7,6,3,4,5,8,1] => [2,1,4,1]
[6,5,3,1,2,8,4,7] => [1,1,1,3,2]
[8,6,5,2,3,7,1,4] => [1,1,1,3,2]
[8,5,2,1,7,3,4,6] => [1,1,1,2,3]
[7,5,2,1,8,3,4,6] => [1,1,1,2,3]
[1,6,3,2,8,4,5,7] => [2,1,2,3]
[5,6,2,3,1,8,4,7] => [2,2,2,2]
[4,2,6,5,1,8,3,7] => [1,2,1,2,2]
[5,4,8,6,2,7,1,3] => [1,2,1,2,2]
[6,8,3,5,2,7,1,4] => [2,2,2,2]
[7,8,5,2,3,6,1,4] => [2,1,3,2]
[6,8,2,1,7,3,4,5] => [2,1,2,3]
[1,8,6,3,7,2,4,5] => [2,1,2,3]
[1,8,2,7,3,4,5,6] => [2,2,4]
[2,8,1,7,3,4,5,6] => [2,2,4]
[3,8,6,1,7,2,4,5] => [2,1,2,3]
[4,8,1,5,7,2,3,6] => [2,3,3]
[4,2,8,3,7,1,5,6] => [1,2,2,3]
[4,1,7,5,8,2,3,6] => [1,2,2,3]
[1,7,3,8,2,4,5,6] => [2,2,4]
[8,1,2,7,3,4,5,6] => [1,3,4]
[3,6,2,7,1,8,4,5] => [2,2,2,2]
[6,3,7,1,2,8,4,5] => [1,2,3,2]
[7,2,6,1,8,3,4,5] => [1,2,2,3]
[8,2,6,1,7,3,4,5] => [1,2,2,3]
[7,3,1,5,8,2,4,6] => [1,1,3,3]
[3,2,1,5,8,4,6,7] => [1,1,3,3]
[5,4,1,3,6,8,2,7] => [1,1,4,2]
[1,5,3,4,6,8,2,7] => [2,4,2]
[4,3,5,1,6,8,2,7] => [1,2,3,2]
[5,4,6,3,8,7,1,2] => [1,2,2,1,2]
[3,6,4,5,8,7,1,2] => [2,3,1,2]
[6,5,3,4,8,7,1,2] => [1,1,3,1,2]
[5,3,2,8,7,1,4,6] => [1,1,2,1,3]
[5,3,1,8,7,2,4,6] => [1,1,2,1,3]
[8,5,3,7,6,1,2,4] => [1,1,2,1,3]
[6,1,8,3,7,2,4,5] => [1,2,2,3]
[6,3,8,1,7,2,4,5] => [1,2,2,3]
[7,6,8,2,3,5,1,4] => [1,2,3,2]
[3,7,8,2,4,6,1,5] => [3,3,2]
[6,7,3,8,2,5,1,4] => [2,2,2,2]
[5,4,7,8,2,6,1,3] => [1,3,2,2]
[4,2,5,8,7,1,3,6] => [1,3,1,3]
[3,6,2,8,7,1,4,5] => [2,2,1,3]
[3,7,8,1,6,2,4,5] => [3,2,3]
[2,3,8,7,1,4,5,6] => [3,1,4]
[7,2,8,6,1,3,4,5] => [1,2,1,4]
[2,1,8,7,3,4,5,6] => [1,2,1,4]
[8,2,7,6,1,3,4,5] => [1,2,1,4]
[1,2,8,7,3,4,5,6] => [3,1,4]
[1,3,8,7,2,4,5,6] => [3,1,4]
[1,7,8,3,6,2,4,5] => [3,2,3]
[4,1,5,8,7,2,3,6] => [1,3,1,3]
[5,4,8,7,6,1,2,3] => [1,2,1,1,3]
[6,8,3,7,5,1,2,4] => [2,2,1,3]
[7,8,6,2,5,1,3,4] => [2,1,2,3]
[8,1,6,7,3,2,5,4] => [1,3,1,2,1]
[8,1,6,7,3,2,4,5] => [1,3,1,3]
[8,1,5,3,7,2,4,6] => [1,2,2,3]
[8,1,5,3,6,2,4,7] => [1,2,2,3]
[7,5,1,3,6,2,4,8] => [1,1,3,3]
[7,5,8,3,6,2,4,1] => [1,2,2,2,1]
[7,4,8,3,2,6,5,1] => [1,2,1,2,1,1]
[7,4,1,3,2,6,5,8] => [1,1,2,2,2]
[8,1,4,3,2,6,5,7] => [1,2,1,2,2]
[8,1,4,3,2,7,5,6] => [1,2,1,2,2]
[8,1,4,3,2,7,6,5] => [1,2,1,2,1,1]
[8,1,5,4,6,7,2,3] => [1,2,3,2]
[8,1,5,3,6,2,7,4] => [1,2,2,2,1]
[8,1,4,3,2,6,7,5] => [1,2,1,3,1]
[8,1,4,3,2,5,7,6] => [1,2,1,3,1]
[8,1,4,3,2,5,6,7] => [1,2,1,4]
[7,4,1,3,2,5,6,8] => [1,1,2,4]
[7,4,8,3,2,5,6,1] => [1,2,1,3,1]
[6,4,3,8,2,5,7,1] => [1,1,2,3,1]
[6,4,3,1,2,5,8,7] => [1,1,1,4,1]
[7,4,1,3,2,5,8,6] => [1,1,2,3,1]
[7,4,1,3,2,6,8,5] => [1,1,2,3,1]
[7,5,1,3,6,2,8,4] => [1,1,3,2,1]
[7,5,1,4,6,8,2,3] => [1,1,4,2]
[7,5,8,3,6,2,1,4] => [1,2,2,1,2]
[7,4,8,3,2,6,1,5] => [1,2,1,2,2]
[7,4,8,3,2,5,1,6] => [1,2,1,2,2]
[6,4,3,8,2,5,1,7] => [1,1,2,2,2]
[6,4,3,7,2,5,8,1] => [1,1,2,3,1]
[5,4,3,2,8,6,1,7] => [1,1,1,2,1,2]
[5,4,3,2,8,7,1,6] => [1,1,1,2,1,2]
[6,5,3,8,7,2,1,4] => [1,1,2,1,1,2]
[6,5,4,8,7,1,2,3] => [1,1,2,1,3]
[6,5,4,1,7,8,2,3] => [1,1,1,3,2]
[6,5,3,1,7,2,8,4] => [1,1,1,2,2,1]
[6,4,3,1,2,7,8,5] => [1,1,1,4,1]
[5,4,3,2,1,8,6,7] => [1,1,1,1,2,2]
[6,5,3,1,8,2,7,4] => [1,1,1,2,2,1]
[6,5,4,1,8,7,2,3] => [1,1,1,2,1,2]
[7,5,1,4,8,6,2,3] => [1,1,3,1,2]
[7,4,1,3,2,8,6,5] => [1,1,2,2,1,1]
[7,4,1,3,2,8,5,6] => [1,1,2,2,2]
[6,4,3,1,2,8,5,7] => [1,1,1,3,2]
[6,4,3,1,2,7,5,8] => [1,1,1,3,2]
[6,4,3,8,2,7,5,1] => [1,1,2,2,1,1]
[6,5,3,8,7,2,4,1] => [1,1,2,1,2,1]
[6,5,3,1,7,2,4,8] => [1,1,1,2,3]
[6,5,3,1,8,2,4,7] => [1,1,1,2,3]
[7,5,1,3,8,2,4,6] => [1,1,3,3]
[7,6,1,8,3,2,4,5] => [1,1,2,1,3]
[7,6,1,8,4,5,2,3] => [1,1,2,2,2]
[7,6,8,1,4,5,2,3] => [1,2,3,2]
[7,6,8,1,3,2,5,4] => [1,2,2,2,1]
[6,5,3,7,8,2,4,1] => [1,1,3,2,1]
[6,4,3,7,2,8,5,1] => [1,1,2,2,1,1]
[6,4,3,7,2,1,5,8] => [1,1,2,1,3]
[7,4,8,3,2,1,5,6] => [1,2,1,1,3]
[7,4,8,3,2,1,6,5] => [1,2,1,1,2,1]
[7,5,8,3,1,2,6,4] => [1,2,1,3,1]
[7,5,8,4,1,6,2,3] => [1,2,1,2,2]
[6,5,4,8,1,7,2,3] => [1,1,2,2,2]
[6,5,3,8,1,2,7,4] => [1,1,2,3,1]
[5,4,3,2,8,1,7,6] => [1,1,1,2,2,1]
[6,4,3,7,2,1,8,5] => [1,1,2,1,2,1]
[6,5,3,7,1,2,8,4] => [1,1,2,3,1]
[6,5,4,7,1,8,2,3] => [1,1,2,2,2]
[6,5,3,7,8,2,1,4] => [1,1,3,1,2]
[6,4,3,7,2,8,1,5] => [1,1,2,2,2]
[5,4,3,2,7,8,1,6] => [1,1,1,3,2]
[5,4,3,2,6,8,1,7] => [1,1,1,3,2]
[5,6,2,1,3,4,8,7] => [2,1,4,1]
[5,8,2,7,4,1,3,6] => [2,2,1,3]
[5,3,7,8,2,1,4,6] => [1,3,1,3]
[7,6,1,2,5,8,3,4] => [1,1,4,2]
[2,1,7,8,4,3,5,6] => [1,3,1,3]
[8,3,7,4,1,5,6,2] => [1,2,1,3,1]
[7,8,1,2,5,4,6,3] => [2,3,2,1]
[2,6,8,3,1,4,7,5] => [3,1,3,1]
[6,1,8,3,2,4,5,7] => [1,2,1,4]
[8,4,1,3,7,6,2,5] => [1,1,3,1,2]
[5,8,7,4,2,1,6,3] => [2,1,1,1,2,1]
[7,5,1,6,8,3,4,2] => [1,1,3,2,1]
[6,5,2,1,8,7,4,3] => [1,1,1,2,1,1,1]
[4,7,2,8,1,3,6,5] => [2,2,3,1]
[7,3,8,6,1,2,5,4] => [1,2,1,3,1]
[3,4,7,1,8,2,6,5] => [3,2,2,1]
[1,8,2,4,3,5,6,7] => [2,2,4]
[1,7,2,4,3,5,6,8] => [2,2,4]
[1,6,2,4,3,5,7,8] => [2,2,4]
[1,5,2,4,3,6,7,8] => [2,2,4]
[1,6,2,5,3,4,7,8] => [2,2,4]
[1,7,2,5,3,4,6,8] => [2,2,4]
[1,8,2,5,3,4,6,7] => [2,2,4]
[1,8,2,6,3,4,5,7] => [2,2,4]
[1,7,2,6,3,4,5,8] => [2,2,4]
[1,8,2,7,3,5,4,6] => [2,2,2,2]
[1,7,2,8,3,5,4,6] => [2,2,2,2]
[1,6,2,8,3,5,4,7] => [2,2,2,2]
[1,5,2,8,3,6,4,7] => [2,2,2,2]
[1,4,2,8,3,6,5,7] => [2,2,2,2]
[1,3,2,8,4,6,5,7] => [2,2,2,2]
[1,2,3,8,4,6,5,7] => [4,2,2]
[1,2,3,7,4,6,5,8] => [4,2,2]
[1,3,2,7,4,6,5,8] => [2,2,2,2]
[1,4,2,7,3,6,5,8] => [2,2,2,2]
[1,5,2,7,3,6,4,8] => [2,2,2,2]
[1,6,2,7,3,5,4,8] => [2,2,2,2]
[1,7,2,6,3,5,4,8] => [2,2,2,2]
[1,8,2,6,3,5,4,7] => [2,2,2,2]
[1,8,2,5,3,6,4,7] => [2,2,2,2]
[1,7,2,5,3,6,4,8] => [2,2,2,2]
[1,6,2,5,3,7,4,8] => [2,2,2,2]
[1,5,2,4,3,7,6,8] => [2,2,2,2]
[1,6,2,4,3,7,5,8] => [2,2,2,2]
[1,7,2,4,3,6,5,8] => [2,2,2,2]
[1,8,2,4,3,6,5,7] => [2,2,2,2]
[1,8,2,3,4,6,5,7] => [2,4,2]
[1,7,2,3,4,6,5,8] => [2,4,2]
[1,8,2,3,4,7,5,6] => [2,4,2]
[1,8,2,4,3,7,5,6] => [2,2,2,2]
[1,7,2,4,3,8,5,6] => [2,2,2,2]
[1,6,2,4,3,8,5,7] => [2,2,2,2]
[1,5,2,4,3,8,6,7] => [2,2,2,2]
[1,6,2,5,3,8,4,7] => [2,2,2,2]
[1,7,2,5,3,8,4,6] => [2,2,2,2]
[1,8,2,5,3,7,4,6] => [2,2,2,2]
[1,8,2,6,3,7,4,5] => [2,2,2,2]
[1,7,2,6,3,8,4,5] => [2,2,2,2]
[1,2,3,8,4,7,5,6] => [4,2,2]
[1,3,2,8,4,7,5,6] => [2,2,2,2]
[1,4,2,8,3,7,5,6] => [2,2,2,2]
[1,5,2,8,3,7,4,6] => [2,2,2,2]
[1,6,2,8,3,7,4,5] => [2,2,2,2]
[1,7,2,8,3,6,4,5] => [2,2,2,2]
[1,8,2,7,3,6,4,5] => [2,2,2,2]
[4,6,3,7,2,5,1,8] => [2,2,2,2]
[4,6,3,7,5,2,1,8] => [2,2,1,1,2]
[4,6,3,8,5,1,7,2] => [2,2,1,2,1]
[4,6,3,8,5,1,2,7] => [2,2,1,3]
[5,6,8,3,4,1,2,7] => [3,2,3]
[5,6,8,3,4,1,7,2] => [3,2,2,1]
[4,6,2,7,5,3,1,8] => [2,2,1,1,2]
[5,6,7,2,4,3,1,8] => [3,2,1,2]
[5,6,8,4,3,1,7,2] => [3,1,1,2,1]
[5,6,8,4,3,1,2,7] => [3,1,1,3]
[5,7,8,4,1,6,2,3] => [3,1,2,2]
[5,7,8,4,1,6,3,2] => [3,1,2,1,1]
[5,7,8,4,1,3,6,2] => [3,1,3,1]
[5,6,8,4,2,1,7,3] => [3,1,1,2,1]
[5,6,8,2,4,1,7,3] => [3,2,2,1]
[4,6,2,8,5,1,7,3] => [2,2,1,2,1]
[3,2,6,8,5,1,7,4] => [1,3,1,2,1]
[3,2,6,8,5,1,4,7] => [1,3,1,3]
[4,6,2,8,5,1,3,7] => [2,2,1,3]
[5,6,8,2,4,1,3,7] => [3,2,3]
[5,6,8,4,2,1,3,7] => [3,1,1,3]
[5,7,8,4,1,3,2,6] => [3,1,2,2]
[5,7,8,4,1,2,6,3] => [3,1,3,1]
[5,7,8,4,1,2,3,6] => [3,1,4]
[6,7,8,1,5,2,3,4] => [3,2,3]
[6,7,8,1,5,2,4,3] => [3,2,2,1]
[6,7,8,1,5,3,2,4] => [3,2,1,2]
[6,7,8,1,3,5,2,4] => [3,3,2]
[5,7,8,2,1,6,3,4] => [3,1,2,2]
[4,7,2,8,1,6,3,5] => [2,2,2,2]
[3,2,7,8,1,6,4,5] => [1,3,2,2]
[3,2,7,8,1,6,5,4] => [1,3,2,1,1]
[4,7,2,8,1,6,5,3] => [2,2,2,1,1]
[5,7,8,2,1,6,4,3] => [3,1,2,1,1]
[6,7,8,1,3,5,4,2] => [3,3,1,1]
[6,7,8,1,5,3,4,2] => [3,2,2,1]
[6,7,8,1,5,4,3,2] => [3,2,1,1,1]
[6,7,8,1,5,4,2,3] => [3,2,1,2]
[6,7,8,1,4,5,2,3] => [3,3,2]
[6,7,8,1,4,5,3,2] => [3,3,1,1]
[6,7,8,1,4,3,5,2] => [3,2,2,1]
[6,7,8,1,3,4,5,2] => [3,4,1]
[5,7,8,2,1,4,6,3] => [3,1,3,1]
[4,7,2,8,1,5,6,3] => [2,2,3,1]
[3,2,7,8,1,5,6,4] => [1,3,3,1]
[3,2,6,8,4,1,7,5] => [1,3,1,2,1]
[4,6,2,8,3,1,7,5] => [2,2,1,2,1]
[5,6,8,3,2,1,7,4] => [3,1,1,2,1]
[5,7,8,3,1,4,6,2] => [3,1,3,1]
[5,7,8,3,1,6,4,2] => [3,1,2,1,1]
[5,7,8,3,1,6,2,4] => [3,1,2,2]
[4,7,3,8,1,6,2,5] => [2,2,2,2]
[4,7,3,8,1,6,5,2] => [2,2,2,1,1]
[4,7,3,8,1,5,6,2] => [2,2,3,1]
[4,6,3,8,2,1,7,5] => [2,2,1,2,1]
[4,5,3,2,8,1,7,6] => [2,1,2,2,1]
[4,5,2,3,8,1,7,6] => [2,3,2,1]
[3,2,5,4,8,1,7,6] => [1,2,2,2,1]
[4,5,3,2,8,1,6,7] => [2,1,2,3]
[4,6,3,8,2,1,5,7] => [2,2,1,3]
[4,7,3,8,1,5,2,6] => [2,2,2,2]
[4,7,3,8,1,2,6,5] => [2,2,3,1]
[4,7,3,8,1,2,5,6] => [2,2,4]
[5,7,8,3,1,2,4,6] => [3,1,4]
[5,7,8,3,1,2,6,4] => [3,1,3,1]
[5,7,8,3,1,4,2,6] => [3,1,2,2]
[5,6,8,3,2,1,4,7] => [3,1,1,3]
[3,2,7,8,1,5,4,6] => [1,3,2,2]
[5,7,8,2,1,4,3,6] => [3,1,2,2]
[6,7,8,1,3,4,2,5] => [3,3,2]
[6,7,8,1,4,3,2,5] => [3,2,1,2]
[6,7,8,1,4,2,5,3] => [3,2,2,1]
[6,7,8,1,4,2,3,5] => [3,2,3]
[6,7,8,1,2,5,3,4] => [3,3,2]
[6,7,8,1,2,5,4,3] => [3,3,1,1]
[6,7,8,1,2,4,5,3] => [3,4,1]
[6,7,8,1,3,2,5,4] => [3,2,2,1]
[5,7,8,2,1,3,6,4] => [3,1,3,1]
[3,2,7,8,1,4,6,5] => [1,3,3,1]
[6,7,8,1,3,2,4,5] => [3,2,3]
[6,7,8,1,2,4,3,5] => [3,3,2]
[6,7,8,1,2,3,5,4] => [3,4,1]
[7,2,8,5,1,6,4,3] => [1,2,1,2,1,1]
[1,3,7,5,2,6,4,8] => [3,1,2,2]
[1,3,7,5,4,2,6,8] => [3,1,1,3]
[7,2,8,5,4,1,6,3] => [1,2,1,1,2,1]
[2,8,5,4,3,1,7,6] => [2,1,1,1,2,1]
[2,8,4,5,6,1,7,3] => [2,3,2,1]
[2,8,6,5,7,3,1,4] => [2,1,2,1,2]
[2,8,4,5,3,7,1,6] => [2,2,2,2]
[2,8,4,3,5,6,1,7] => [2,1,3,2]
[7,2,8,4,5,6,1,3] => [1,2,3,2]
[1,6,3,7,5,2,4,8] => [2,2,1,3]
[6,2,3,8,5,1,7,4] => [1,3,1,2,1]
[6,3,2,8,5,1,4,7] => [1,1,2,1,3]
[7,4,8,2,5,6,3,1] => [1,2,3,1,1]
[7,4,8,5,2,1,3,6] => [1,2,1,1,3]
[6,4,8,5,1,3,7,2] => [1,2,1,3,1]
[6,3,7,5,2,1,8,4] => [1,2,1,1,2,1]
[4,3,7,5,1,2,8,6] => [1,2,1,3,1]
[4,3,7,1,5,6,8,2] => [1,2,4,1]
[3,6,1,7,5,2,8,4] => [2,2,1,2,1]
[3,4,1,2,7,6,8,5] => [2,3,2,1]
[3,4,2,1,7,5,8,6] => [2,1,2,2,1]
[3,6,5,7,1,4,8,2] => [2,2,3,1]
[6,5,2,7,4,1,8,3] => [1,1,2,1,2,1]
[3,5,2,6,4,8,7,1] => [2,2,2,1,1]
[5,3,1,8,6,4,7,2] => [1,1,2,1,2,1]
[5,6,1,8,7,2,4,3] => [2,2,1,2,1]
[6,3,5,8,2,7,4,1] => [1,3,2,1,1]
[6,5,8,4,2,3,7,1] => [1,2,1,3,1]
[6,2,5,8,3,7,1,4] => [1,3,2,2]
[1,6,5,7,3,4,2,8] => [2,2,2,2]
[1,5,2,7,4,6,3,8] => [2,2,2,2]
[5,2,1,8,7,6,3,4] => [1,1,2,1,1,2]
[7,1,3,8,4,6,2,5] => [1,3,2,2]
[2,3,4,8,6,1,7,5] => [4,1,2,1]
[2,3,4,8,6,5,1,7] => [4,1,1,2]
[2,7,3,5,8,6,1,4] => [2,3,1,2]
[3,2,4,7,8,6,1,5] => [1,4,1,2]
[1,5,4,6,2,7,3,8] => [2,2,2,2]
[5,2,4,7,1,8,3,6] => [1,3,2,2]
[5,3,6,4,1,8,7,2] => [1,2,1,2,1,1]
[5,3,6,1,4,8,2,7] => [1,2,3,2]
[7,3,5,6,8,4,2,1] => [1,4,1,1,1]
[6,3,5,1,8,2,7,4] => [1,2,2,2,1]
[2,6,1,5,8,4,7,3] => [2,3,2,1]
[2,7,6,5,8,3,4,1] => [2,1,2,2,1]
[5,7,1,6,3,8,4,2] => [2,2,2,1,1]
[3,2,4,1,7,8,5,6] => [1,2,3,2]
[3,1,4,2,7,8,6,5] => [1,2,3,1,1]
[5,1,4,7,2,8,6,3] => [1,3,2,1,1]
[3,6,4,7,8,2,5,1] => [2,3,2,1]
[3,1,4,6,8,5,7,2] => [1,4,2,1]
[6,3,4,5,7,1,8,2] => [1,4,2,1]
[2,5,4,6,1,7,8,3] => [2,2,3,1]
[7,2,1,4,3,6,5,8] => [1,1,2,2,2]
[7,3,4,1,2,6,5,8] => [1,2,3,2]
[7,4,3,2,1,6,5,8] => [1,1,1,1,2,2]
[7,6,3,2,5,4,1,8] => [1,1,1,2,1,2]
[6,7,3,2,5,4,8,1] => [2,1,2,2,1]
[1,8,3,2,5,4,7,6] => [2,1,2,2,1]
[1,8,4,5,2,3,7,6] => [2,2,3,1]
[7,3,5,1,6,2,4,8] => [1,2,2,3]
[7,2,1,5,6,3,4,8] => [1,1,3,3]
[7,2,1,6,5,4,3,8] => [1,1,2,1,1,2]
[7,3,6,1,5,4,2,8] => [1,2,2,1,2]
[7,4,6,5,1,3,2,8] => [1,2,1,2,2]
[1,8,5,4,3,2,7,6] => [2,1,1,1,2,1]
[1,8,6,4,3,7,2,5] => [2,1,1,2,2]
[6,5,7,4,3,1,8,2] => [1,2,1,1,2,1]
[6,4,7,5,1,3,8,2] => [1,2,1,3,1]
[6,3,7,1,5,4,8,2] => [1,2,2,2,1]
[6,2,1,7,5,4,8,3] => [1,1,2,1,2,1]
[3,2,1,8,5,4,7,6] => [1,1,2,1,2,1]
[2,3,8,1,5,4,7,6] => [3,2,2,1]
[2,4,8,5,1,3,7,6] => [3,1,3,1]
[2,5,8,4,3,1,7,6] => [3,1,1,2,1]
[2,6,8,4,3,7,1,5] => [3,1,2,2]
[2,7,8,4,3,6,5,1] => [3,1,2,1,1]
[1,8,7,4,3,6,5,2] => [2,1,1,2,1,1]
[1,8,7,5,6,3,4,2] => [2,1,2,2,1]
[2,7,8,5,6,3,4,1] => [3,2,2,1]
[2,6,8,5,7,3,1,4] => [3,2,1,2]
[2,5,8,6,7,1,3,4] => [3,2,3]
[2,4,8,6,1,7,3,5] => [3,1,2,2]
[3,2,1,8,6,7,4,5] => [1,1,2,2,2]
[5,2,1,7,6,8,4,3] => [1,1,2,2,1,1]
[5,3,7,1,6,8,4,2] => [1,2,3,1,1]
[5,4,7,6,1,8,3,2] => [1,2,1,2,1,1]
[4,5,7,6,8,1,3,2] => [3,2,2,1]
[4,6,7,5,8,3,1,2] => [3,2,1,2]
[1,8,6,5,7,3,2,4] => [2,1,2,1,2]
[1,8,5,6,7,2,3,4] => [2,3,3]
[4,7,5,6,8,2,3,1] => [2,3,2,1]
[4,6,5,7,8,2,1,3] => [2,3,1,2]
[5,4,6,7,1,8,2,3] => [1,3,2,2]
[5,3,6,1,7,8,2,4] => [1,2,3,2]
[5,2,1,6,7,8,3,4] => [1,1,4,2]
[6,2,1,5,7,3,8,4] => [1,1,3,2,1]
[6,3,5,1,7,2,8,4] => [1,2,2,2,1]
[6,4,5,7,1,2,8,3] => [1,3,3,1]
[6,5,4,7,2,1,8,3] => [1,1,2,1,2,1]
[5,6,4,7,2,8,1,3] => [2,2,2,2]
[1,8,4,6,2,7,3,5] => [2,2,2,2]
[1,8,3,2,6,7,4,5] => [2,1,3,2]
[5,7,3,2,6,8,4,1] => [2,1,3,1,1]
[5,6,3,2,7,8,1,4] => [2,1,3,2]
[6,5,3,2,7,1,8,4] => [1,1,1,2,2,1]
[6,4,3,2,1,7,8,5] => [1,1,1,1,3,1]
[6,2,1,4,3,7,8,5] => [1,1,2,3,1]
[5,2,1,4,3,8,7,6] => [1,1,2,2,1,1]
[5,3,4,1,2,8,7,6] => [1,2,3,1,1]
[4,6,3,2,8,7,1,5] => [2,1,2,1,2]
[4,7,3,2,8,6,5,1] => [2,1,2,1,1,1]
[1,8,3,2,7,6,5,4] => [2,1,2,1,1,1]
[1,8,4,7,2,6,5,3] => [2,2,2,1,1]
[3,7,4,8,2,6,5,1] => [2,2,2,1,1]
[3,6,4,8,2,7,1,5] => [2,2,2,2]
[3,5,4,8,2,1,7,6] => [2,2,1,2,1]
[3,4,5,8,1,2,7,6] => [4,3,1]
[4,3,5,1,8,2,7,6] => [1,2,2,2,1]
[4,2,1,5,8,3,7,6] => [1,1,3,2,1]
[4,2,1,6,8,7,3,5] => [1,1,3,1,2]
[4,3,6,1,8,7,2,5] => [1,2,2,1,2]
[3,4,6,8,1,7,2,5] => [4,2,2]
[3,5,6,8,7,1,2,4] => [4,1,3]
[3,6,5,8,7,2,1,4] => [2,2,1,1,2]
[3,7,5,8,6,2,4,1] => [2,2,1,2,1]
[1,8,5,7,6,2,4,3] => [2,2,1,2,1]
[1,8,6,7,5,4,2,3] => [2,2,1,1,2]
[3,6,7,8,5,4,1,2] => [4,1,1,2]
[3,5,7,8,6,1,4,2] => [4,1,2,1]
[3,4,7,8,1,6,5,2] => [4,2,1,1]
[4,2,1,7,8,6,5,3] => [1,1,3,1,1,1]
[2,3,8,1,7,6,5,4] => [3,2,1,1,1]
[2,4,8,7,1,6,5,3] => [3,1,2,1,1]
[2,5,8,7,6,1,4,3] => [3,1,1,2,1]
[2,6,8,7,5,4,1,3] => [3,1,1,1,2]
[7,4,6,1,8,3,5,2] => [1,2,2,2,1]
[8,3,5,1,7,4,6,2] => [1,2,2,2,1]
[8,3,4,1,7,5,6,2] => [1,2,2,2,1]
[4,8,3,1,7,5,6,2] => [2,1,2,2,1]
[4,6,2,1,7,5,8,3] => [2,1,2,2,1]
[1,4,6,2,7,5,8,3] => [3,2,2,1]
[1,7,5,2,6,8,4,3] => [2,1,3,1,1]
[7,5,2,1,6,8,4,3] => [1,1,1,3,1,1]
[6,8,4,3,1,7,5,2] => [2,1,1,2,1,1]
[3,6,8,4,1,7,5,2] => [3,1,2,1,1]
[3,6,7,5,1,8,4,2] => [3,1,2,1,1]
[7,5,6,1,8,3,4,2] => [1,2,2,2,1]
[3,4,6,5,7,1,8,2] => [3,2,2,1]
[4,7,5,6,1,8,3,2] => [2,2,2,1,1]
[6,7,5,1,8,4,3,2] => [2,1,2,1,1,1]
[6,8,4,1,7,5,3,2] => [2,1,2,1,1,1]
[6,7,5,3,1,8,4,2] => [2,1,1,2,1,1]
[8,4,2,1,6,7,5,3] => [1,1,1,3,1,1]
[1,8,4,2,6,7,5,3] => [2,1,3,1,1]
[1,5,3,2,7,6,8,4] => [2,1,2,2,1]
[5,3,2,1,7,6,8,4] => [1,1,1,2,2,1]
[2,5,3,1,7,6,8,4] => [2,1,2,2,1]
[2,8,4,1,6,7,5,3] => [2,1,3,1,1]
[2,7,5,1,6,8,4,3] => [2,1,3,1,1]
[2,4,6,1,7,5,8,3] => [3,2,2,1]
[4,7,1,6,5,8,2,3] => [2,2,2,2]
[4,8,2,6,5,7,1,3] => [2,2,2,2]
[4,6,1,2,7,5,8,3] => [2,3,2,1]
[7,5,1,2,6,8,4,3] => [1,1,4,1,1]
[8,4,1,2,6,7,5,3] => [1,1,4,1,1]
[5,3,1,2,7,6,8,4] => [1,1,3,2,1]
[1,2,5,3,7,6,8,4] => [3,2,2,1]
[4,3,1,2,7,6,8,5] => [1,1,3,2,1]
[3,5,1,2,7,6,8,4] => [2,3,2,1]
[6,7,1,5,8,2,3,4] => [2,3,3]
[2,7,6,1,5,8,3,4] => [2,1,3,2]
[2,3,5,1,7,6,8,4] => [3,2,2,1]
[7,6,1,5,8,3,2,4] => [1,1,3,1,2]
[3,6,7,1,5,8,2,4] => [3,3,2]
[7,1,6,5,8,2,4,3] => [1,2,2,2,1]
[7,5,1,6,8,4,2,3] => [1,1,3,1,2]
[8,4,1,6,7,5,2,3] => [1,1,3,1,2]
[5,2,3,1,7,6,8,4] => [1,2,2,2,1]
[3,5,2,1,7,6,8,4] => [2,1,2,2,1]
[1,3,5,2,7,6,8,4] => [3,2,2,1]
[1,7,6,2,5,8,3,4] => [2,1,3,2]
[7,6,2,1,5,8,3,4] => [1,1,1,3,2]
[8,3,1,5,7,6,2,4] => [1,1,3,1,2]
[6,2,4,1,7,5,8,3] => [1,2,2,2,1]
[6,2,5,1,7,4,8,3] => [1,2,2,2,1]
[7,1,6,4,8,2,5,3] => [1,2,2,2,1]
[8,2,6,4,7,1,5,3] => [1,2,2,2,1]
[6,1,5,2,7,4,8,3] => [1,2,2,2,1]
[7,6,2,5,8,3,1,4] => [1,1,3,1,2]
[8,3,5,7,6,2,1,4] => [1,3,1,1,2]
[1,8,3,5,7,6,2,4] => [2,3,1,2]
[1,5,2,3,7,6,8,4] => [2,3,2,1]
[5,2,1,3,7,6,8,4] => [1,1,3,2,1]
[7,5,2,6,8,4,1,3] => [1,1,3,1,2]
[8,4,2,6,7,5,1,3] => [1,1,3,1,2]
[6,1,4,2,7,5,8,3] => [1,2,2,2,1]
[8,2,6,5,7,1,4,3] => [1,2,2,2,1]
[3,6,8,2,5,7,1,4] => [3,3,2]
[8,3,2,5,7,6,1,4] => [1,1,3,1,2]
[5,1,3,2,7,6,8,4] => [1,2,2,2,1]
[4,1,3,2,7,6,8,5] => [1,2,2,2,1]
[4,2,1,3,7,6,8,5] => [1,1,3,2,1]
[1,4,2,3,7,6,8,5] => [2,3,2,1]
[2,4,1,3,7,6,8,5] => [2,3,2,1]
[2,5,1,3,7,6,8,4] => [2,3,2,1]
[2,8,3,5,7,6,1,4] => [2,3,1,2]
[6,8,2,3,5,7,1,4] => [2,4,2]
[6,7,1,3,5,8,2,4] => [2,4,2]
[8,3,5,7,6,1,2,4] => [1,3,1,3]
[5,1,2,3,7,6,8,4] => [1,4,2,1]
[3,1,2,4,7,6,8,5] => [1,4,2,1]
[8,1,2,4,3,6,5,7] => [1,3,2,2]
[8,1,3,5,6,2,7,4] => [1,4,2,1]
[8,1,3,4,2,6,7,5] => [1,3,3,1]
[8,1,3,2,4,5,7,6] => [1,2,4,1]
[2,7,8,3,4,5,6,1] => [3,4,1]
[2,6,3,8,4,5,7,1] => [2,2,3,1]
[6,3,2,1,4,5,8,7] => [1,1,1,4,1]
[7,3,1,4,2,6,8,5] => [1,1,2,3,1]
[7,4,1,5,6,8,2,3] => [1,1,4,2]
[4,7,8,5,6,1,2,3] => [3,2,3]
[3,7,8,5,6,2,1,4] => [3,2,1,2]
[3,7,8,4,2,6,1,5] => [3,1,2,2]
[3,7,8,2,4,5,1,6] => [3,3,2]
[3,6,2,8,4,5,1,7] => [2,2,2,2]
[2,3,6,7,4,5,8,1] => [4,3,1]
[3,5,2,4,8,6,1,7] => [2,3,1,2]
[3,5,4,2,8,7,1,6] => [2,1,2,1,2]
[4,6,5,8,7,1,2,3] => [2,2,1,3]
[6,4,5,1,7,8,2,3] => [1,2,3,2]
[7,4,1,2,3,8,5,6] => [1,1,4,2]
[6,2,4,1,3,7,5,8] => [1,2,3,2]
[2,6,4,8,3,7,5,1] => [2,2,2,1,1]
[2,6,5,8,7,3,4,1] => [2,2,1,2,1]
[6,2,5,1,7,3,4,8] => [1,2,2,3]
[6,5,2,1,8,3,4,7] => [1,1,1,2,3]
[2,5,6,7,8,3,4,1] => [5,2,1]
[2,4,6,7,3,8,5,1] => [4,2,1,1]
[4,2,6,7,3,1,5,8] => [1,3,1,3]
[4,7,8,2,3,1,5,6] => [3,2,3]
[4,7,8,3,2,1,6,5] => [3,1,1,2,1]
[5,6,4,8,1,7,2,3] => [2,2,2,2]
[5,6,3,8,1,2,7,4] => [2,2,3,1]
[4,2,5,3,7,1,6,8] => [1,2,2,3]
[4,3,6,7,2,1,8,5] => [1,3,1,2,1]
[3,4,6,7,2,8,1,5] => [4,2,2]
[3,4,5,2,7,8,1,6] => [3,3,2]
[3,4,2,5,6,8,1,7] => [2,4,2]
[5,2,7,8,6,4,1,3] => [1,3,1,1,2]
[5,1,2,7,8,6,4,3] => [1,4,1,1,1]
[4,7,1,8,6,5,2,3] => [2,2,1,1,2]
[4,7,1,2,8,6,5,3] => [2,3,1,1,1]
[4,6,8,1,2,7,5,3] => [3,3,1,1]
[6,8,7,1,5,3,2,4] => [2,1,2,1,2]
[6,8,7,3,5,1,2,4] => [2,1,2,3]
[7,8,1,6,3,5,2,4] => [2,2,2,2]
[7,8,1,3,6,5,2,4] => [2,3,1,2]
[7,8,3,6,5,2,1,4] => [2,2,1,1,2]
[4,7,2,8,6,1,5,3] => [2,2,1,2,1]
[1,7,3,4,8,6,5,2] => [2,3,1,1,1]
[4,2,7,1,8,6,5,3] => [1,2,2,1,1,1]
[7,8,2,3,6,5,1,4] => [2,3,1,2]
[8,5,7,1,6,2,3,4] => [1,2,2,3]
[8,5,7,1,2,6,3,4] => [1,2,3,2]
[6,8,2,7,1,3,5,4] => [2,2,3,1]
[6,8,7,2,5,3,1,4] => [2,1,2,1,2]
[6,2,4,8,7,1,5,3] => [1,3,1,2,1]
[1,6,8,3,7,4,5,2] => [3,2,2,1]
[1,6,8,3,4,7,5,2] => [3,3,1,1]
[6,2,4,8,1,7,5,3] => [1,3,2,1,1]
[6,8,7,2,3,5,1,4] => [2,1,3,2]
[6,8,2,1,7,3,5,4] => [2,1,2,2,1]
[8,5,7,2,1,6,3,4] => [1,2,1,2,2]
[8,5,7,1,2,3,6,4] => [1,2,4,1]
[8,7,6,2,1,4,3,5] => [1,1,1,1,2,2]
[8,5,7,2,3,1,6,4] => [1,2,2,2,1]
[5,8,4,2,7,1,6,3] => [2,1,2,2,1]
[1,8,7,5,3,4,6,2] => [2,1,1,3,1]
[1,8,7,3,5,4,6,2] => [2,1,2,2,1]
[8,2,5,4,7,1,6,3] => [1,2,2,2,1]
[8,5,2,7,3,1,6,4] => [1,1,2,1,2,1]
[8,7,6,2,4,3,1,5] => [1,1,1,2,1,2]
[8,7,6,1,2,4,3,5] => [1,1,1,3,2]
[8,7,6,1,4,2,3,5] => [1,1,1,2,3]
[8,7,6,4,1,3,2,5] => [1,1,1,1,2,2]
[5,8,4,7,2,1,6,3] => [2,2,1,2,1]
[1,8,7,5,4,3,6,2] => [2,1,1,1,2,1]
[1,6,8,4,3,7,5,2] => [3,1,2,1,1]
[6,8,7,3,2,5,1,4] => [2,1,1,2,2]
[6,8,1,7,3,2,5,4] => [2,2,1,2,1]
[8,5,7,3,1,6,2,4] => [1,2,1,2,2]
[8,5,7,1,3,2,6,4] => [1,2,2,2,1]
[8,5,7,3,1,2,6,4] => [1,2,1,3,1]
[5,8,4,7,1,2,6,3] => [2,2,3,1]
[5,8,4,1,7,2,6,3] => [2,1,2,2,1]
[5,8,4,7,1,6,2,3] => [2,2,2,2]
[8,1,2,6,5,7,4,3] => [1,3,2,1,1]
[8,2,5,6,7,4,1,3] => [1,4,1,2]
[4,8,5,7,1,6,2,3] => [2,2,2,2]
[4,8,5,7,1,2,6,3] => [2,2,3,1]
[4,8,5,1,7,2,6,3] => [2,1,2,2,1]
[8,5,3,1,7,2,6,4] => [1,1,1,2,2,1]
[8,5,3,7,1,2,6,4] => [1,1,2,3,1]
[6,8,1,3,7,2,5,4] => [2,3,2,1]
[4,6,2,8,1,7,5,3] => [2,2,2,1,1]
[1,6,4,8,3,7,5,2] => [2,2,2,1,1]
[1,8,7,4,5,3,6,2] => [2,1,2,2,1]
[4,8,5,7,2,1,6,3] => [2,2,1,2,1]
[8,5,3,7,2,1,6,4] => [1,1,2,1,2,1]
[8,7,6,3,1,4,2,5] => [1,1,1,1,2,2]
[8,7,6,1,3,2,4,5] => [1,1,1,2,3]
[8,5,3,2,7,1,6,4] => [1,1,1,2,2,1]
[4,8,5,2,7,1,6,3] => [2,1,2,2,1]
[1,8,7,4,3,5,6,2] => [2,1,1,3,1]
[1,8,7,3,4,5,6,2] => [2,1,4,1]
[8,2,4,5,7,1,6,3] => [1,4,2,1]
[8,5,2,3,7,1,6,4] => [1,1,3,2,1]
[6,3,1,5,4,2,8,7] => [1,1,2,1,2,1]
[8,3,1,5,2,7,6,4] => [1,1,2,2,1,1]
[8,5,4,2,1,7,3,6] => [1,1,1,1,2,2]
[8,5,4,2,1,7,6,3] => [1,1,1,1,2,1,1]
[6,5,4,2,1,3,8,7] => [1,1,1,1,3,1]
[6,5,4,2,3,1,8,7] => [1,1,1,2,2,1]
[6,3,2,5,1,4,8,7] => [1,1,2,3,1]
[6,5,4,3,1,2,8,7] => [1,1,1,1,3,1]
[6,5,4,1,3,2,8,7] => [1,1,1,2,2,1]
[8,5,4,1,2,7,6,3] => [1,1,1,3,1,1]
[8,7,4,1,6,3,2,5] => [1,1,1,2,1,2]
[8,7,4,1,6,3,5,2] => [1,1,1,2,2,1]
[8,7,4,1,6,5,3,2] => [1,1,1,2,1,1,1]
[8,5,4,1,3,7,6,2] => [1,1,1,3,1,1]
[8,5,4,3,1,7,6,2] => [1,1,1,1,2,1,1]
[8,3,2,5,1,7,6,4] => [1,1,2,2,1,1]
[2,1,8,5,3,7,6,4] => [1,2,1,2,1,1]
[8,3,2,5,1,7,4,6] => [1,1,2,2,2]
[8,5,4,3,1,7,2,6] => [1,1,1,1,2,2]
[8,5,4,1,3,7,2,6] => [1,1,1,3,2]
[8,7,4,1,6,5,2,3] => [1,1,1,2,1,2]
[8,7,4,1,6,2,5,3] => [1,1,1,2,2,1]
[8,7,6,5,2,1,4,3] => [1,1,1,1,1,2,1]
[8,7,4,3,6,2,1,5] => [1,1,1,2,1,2]
[8,3,2,7,6,4,1,5] => [1,1,2,1,1,2]
[2,1,8,7,6,4,3,5] => [1,2,1,1,1,2]
[2,1,8,7,6,4,5,3] => [1,2,1,1,2,1]
[8,3,2,7,6,4,5,1] => [1,1,2,1,2,1]
[8,7,4,3,6,2,5,1] => [1,1,1,2,2,1]
[8,7,6,5,2,4,3,1] => [1,1,1,1,2,1,1]
[8,5,4,2,3,7,6,1] => [1,1,1,3,1,1]
[8,7,4,2,6,5,3,1] => [1,1,1,2,1,1,1]
[8,7,4,2,6,3,5,1] => [1,1,1,2,2,1]
[8,7,4,2,6,3,1,5] => [1,1,1,2,1,2]
[8,3,1,7,6,4,2,5] => [1,1,2,1,1,2]
[8,3,1,7,6,4,5,2] => [1,1,2,1,2,1]
[8,3,1,7,6,5,4,2] => [1,1,2,1,1,1,1]
[8,3,1,5,4,7,6,2] => [1,1,2,2,1,1]
[8,3,1,5,4,7,2,6] => [1,1,2,2,2]
[8,3,1,7,6,5,2,4] => [1,1,2,1,1,2]
[8,3,1,7,6,2,5,4] => [1,1,2,1,2,1]
[8,7,4,2,6,1,5,3] => [1,1,1,2,2,1]
[8,7,4,2,6,5,1,3] => [1,1,1,2,1,2]
[8,5,4,2,3,7,1,6] => [1,1,1,3,2]
[8,3,2,5,4,7,1,6] => [1,1,2,2,2]
[2,1,8,5,4,7,3,6] => [1,2,1,2,2]
[8,3,2,7,6,5,1,4] => [1,1,2,1,1,2]
[8,7,4,3,6,5,1,2] => [1,1,1,2,1,2]
[8,7,6,5,3,1,4,2] => [1,1,1,1,1,2,1]
[8,7,6,5,1,3,2,4] => [1,1,1,1,2,2]
[8,7,6,5,1,3,4,2] => [1,1,1,1,3,1]
[8,7,6,5,1,4,3,2] => [1,1,1,1,2,1,1]
[8,7,6,5,4,1,3,2] => [1,1,1,1,1,2,1]
[8,7,4,3,6,1,5,2] => [1,1,1,2,2,1]
[8,3,2,7,6,1,5,4] => [1,1,2,1,2,1]
[2,1,8,7,6,3,5,4] => [1,2,1,1,2,1]
[8,3,2,7,6,1,4,5] => [1,1,2,1,3]
[8,7,6,5,1,4,2,3] => [1,1,1,1,2,2]
[8,7,6,5,1,2,4,3] => [1,1,1,1,3,1]
[7,3,5,1,8,4,6,2] => [1,2,2,2,1]
[7,3,4,1,8,5,6,2] => [1,2,2,2,1]
[4,5,6,2,1,8,7,3] => [3,1,2,1,1]
[1,6,5,2,7,4,3,8] => [2,1,2,1,2]
[7,4,3,1,8,6,5,2] => [1,1,1,2,1,1,1]
[7,6,5,1,8,4,3,2] => [1,1,1,2,1,1,1]
[7,6,4,1,8,5,3,2] => [1,1,1,2,1,1,1]
[6,4,2,1,8,7,5,3] => [1,1,1,2,1,1,1]
[1,6,4,2,7,5,3,8] => [2,1,2,1,2]
[1,5,3,2,7,6,4,8] => [2,1,2,1,2]
[5,3,2,1,8,7,6,4] => [1,1,1,2,1,1,1]
[2,5,3,1,7,8,6,4] => [2,1,3,1,1]
[2,6,4,1,7,8,5,3] => [2,1,3,1,1]
[2,6,5,1,7,8,4,3] => [2,1,3,1,1]
[4,5,7,1,6,8,2,3] => [3,3,2]
[6,5,1,2,8,4,3,7] => [1,1,3,1,2]
[6,4,1,2,8,5,3,7] => [1,1,3,1,2]
[5,3,1,2,8,6,4,7] => [1,1,3,1,2]
[4,3,1,2,8,6,5,7] => [1,1,3,1,2]
[6,1,2,5,8,3,4,7] => [1,4,3]
[7,1,3,4,8,2,5,6] => [1,4,3]
[7,1,5,6,8,2,3,4] => [1,4,3]
[2,6,1,5,7,8,3,4] => [2,4,2]
[7,4,1,6,8,5,2,3] => [1,1,3,1,2]
[5,2,3,1,8,6,7,4] => [1,2,2,2,1]
[3,5,2,1,6,8,7,4] => [2,1,3,1,1]
[1,6,2,5,7,3,4,8] => [2,3,3]
[6,2,1,5,8,7,3,4] => [1,1,3,1,2]
[7,3,1,5,8,6,2,4] => [1,1,3,1,2]
[6,2,4,1,8,5,7,3] => [1,2,2,2,1]
[6,2,5,1,8,4,7,3] => [1,2,2,2,1]
[7,3,1,4,8,6,2,5] => [1,1,3,1,2]
[6,2,1,4,8,7,3,5] => [1,1,3,1,2]
[1,6,2,4,7,3,5,8] => [2,3,3]
[5,2,1,3,8,7,4,6] => [1,1,3,1,2]
[7,4,1,3,8,5,2,6] => [1,1,3,1,2]
[7,5,1,3,8,4,2,6] => [1,1,3,1,2]
[3,6,7,1,4,8,2,5] => [3,3,2]
[7,6,1,4,8,3,2,5] => [1,1,3,1,2]
[4,2,1,3,8,7,5,6] => [1,1,3,1,2]
[2,6,1,4,7,8,3,5] => [2,4,2]
[7,1,4,6,8,2,3,5] => [1,4,3]
[7,1,3,5,8,2,4,6] => [1,4,3]
[6,1,2,4,8,3,5,7] => [1,4,3]
[5,2,3,1,6,4,8,7] => [1,2,2,2,1]
[7,4,5,2,3,1,8,6] => [1,2,2,2,1]
[8,6,7,3,5,2,4,1] => [1,2,2,2,1]
[7,3,5,2,4,1,8,6] => [1,2,2,2,1]
[6,3,5,2,4,1,8,7] => [1,2,2,2,1]
[5,2,4,1,6,3,8,7] => [1,2,2,2,1]
[4,1,6,3,5,2,8,7] => [1,2,2,2,1]
[6,3,4,1,5,2,8,7] => [1,2,2,2,1]
[5,2,6,3,4,1,8,7] => [1,2,2,2,1]
[5,2,7,3,4,1,8,6] => [1,2,2,2,1]
[5,2,8,6,7,3,4,1] => [1,2,2,2,1]
[6,2,8,5,7,3,4,1] => [1,2,2,2,1]
[6,2,7,3,4,1,8,5] => [1,2,2,2,1]
[7,3,4,1,5,2,8,6] => [1,2,2,2,1]
[4,1,7,3,5,2,8,6] => [1,2,2,2,1]
[3,1,7,4,5,2,8,6] => [1,2,2,2,1]
[2,1,7,4,5,3,8,6] => [1,2,2,2,1]
[3,1,8,6,7,4,5,2] => [1,2,2,2,1]
[4,1,8,6,7,3,5,2] => [1,2,2,2,1]
[8,6,7,3,4,1,5,2] => [1,2,2,2,1]
[8,5,7,3,4,1,6,2] => [1,2,2,2,1]
[8,5,6,2,7,3,4,1] => [1,2,2,2,1]
[8,4,7,3,5,1,6,2] => [1,2,2,2,1]
[5,1,8,4,7,3,6,2] => [1,2,2,2,1]
[4,1,8,5,7,3,6,2] => [1,2,2,2,1]
[3,1,8,5,7,4,6,2] => [1,2,2,2,1]
[2,1,8,5,7,4,6,3] => [1,2,2,2,1]
[2,1,7,4,6,3,8,5] => [1,2,2,2,1]
[3,1,7,4,6,2,8,5] => [1,2,2,2,1]
[4,1,7,3,6,2,8,5] => [1,2,2,2,1]
[5,1,7,3,6,2,8,4] => [1,2,2,2,1]
[6,2,7,3,5,1,8,4] => [1,2,2,2,1]
[6,2,8,4,7,3,5,1] => [1,2,2,2,1]
[8,4,7,3,6,2,5,1] => [1,2,2,2,1]
[7,3,6,2,5,1,8,4] => [1,2,2,2,1]
[6,2,5,1,7,3,8,4] => [1,2,2,2,1]
[5,2,4,1,7,3,8,6] => [1,2,2,2,1]
[6,2,4,1,7,3,8,5] => [1,2,2,2,1]
[8,5,7,3,6,2,4,1] => [1,2,2,2,1]
[8,5,7,4,6,2,3,1] => [1,2,2,2,1]
[7,4,6,2,3,1,8,5] => [1,2,2,2,1]
[6,2,3,1,7,4,8,5] => [1,2,2,2,1]
[5,2,3,1,7,4,8,6] => [1,2,2,2,1]
[4,2,3,1,7,5,8,6] => [1,2,2,2,1]
[3,1,4,2,8,6,7,5] => [1,2,2,2,1]
[6,2,3,1,8,5,7,4] => [1,2,2,2,1]
[8,5,6,2,3,1,7,4] => [1,2,2,2,1]
[7,4,8,5,6,2,3,1] => [1,2,2,2,1]
[7,3,8,5,6,2,4,1] => [1,2,2,2,1]
[8,5,6,2,4,1,7,3] => [1,2,2,2,1]
[5,2,4,1,8,6,7,3] => [1,2,2,2,1]
[4,1,5,2,8,6,7,3] => [1,2,2,2,1]
[3,1,5,2,8,6,7,4] => [1,2,2,2,1]
[2,1,6,3,8,5,7,4] => [1,2,2,2,1]
[3,1,6,2,8,5,7,4] => [1,2,2,2,1]
[4,1,6,2,8,5,7,3] => [1,2,2,2,1]
[5,1,6,2,8,4,7,3] => [1,2,2,2,1]
[8,4,6,2,5,1,7,3] => [1,2,2,2,1]
[7,3,8,4,6,2,5,1] => [1,2,2,2,1]
[6,2,7,3,8,4,5,1] => [1,2,2,2,1]
[8,4,5,1,6,2,7,3] => [1,2,2,2,1]
[5,1,8,4,6,2,7,3] => [1,2,2,2,1]
[4,1,8,5,6,2,7,3] => [1,2,2,2,1]
[3,1,8,5,6,2,7,4] => [1,2,2,2,1]
[2,1,8,5,6,3,7,4] => [1,2,2,2,1]
[2,1,7,4,8,5,6,3] => [1,2,2,2,1]
[3,1,7,4,8,5,6,2] => [1,2,2,2,1]
[4,1,7,3,8,5,6,2] => [1,2,2,2,1]
[7,3,8,4,5,1,6,2] => [1,2,2,2,1]
[8,4,5,1,7,3,6,2] => [1,2,2,2,1]
[7,3,6,2,8,4,5,1] => [1,2,2,2,1]
[7,8,5,6,1,3,4,2] => [2,2,3,1]
[7,8,1,3,6,2,5,4] => [2,3,2,1]
[1,3,8,4,7,2,5,6] => [3,2,3]
[3,6,1,4,7,2,5,8] => [2,3,3]
[4,6,1,2,5,7,3,8] => [2,4,2]
[1,4,8,2,5,7,3,6] => [3,3,2]
[7,8,2,4,5,6,1,3] => [2,4,2]
[7,8,1,5,4,6,3,2] => [2,2,2,1,1]
[7,8,2,1,6,3,4,5] => [2,1,2,3]
[7,8,3,5,6,4,1,2] => [2,3,1,2]
[7,8,1,4,2,3,6,5] => [2,2,3,1]
[7,8,5,1,4,2,6,3] => [2,1,2,2,1]
[7,8,4,5,3,1,6,2] => [2,2,1,2,1]
[1,5,8,4,3,2,7,6] => [3,1,1,2,1]
[5,6,1,4,3,2,7,8] => [2,2,1,3]
[2,6,4,8,3,7,1,5] => [2,2,2,2]
[1,4,6,8,3,7,5,2] => [4,2,1,1]
[2,4,8,5,3,1,6,7] => [3,1,1,3]
[2,5,8,1,4,7,6,3] => [3,3,1,1]
[3,5,8,4,7,6,1,2] => [3,2,1,2]
[1,6,2,4,7,3,8,5] => [2,3,2,1]
[5,6,2,1,4,7,8,3] => [2,1,4,1]
[4,6,2,5,3,1,8,7] => [2,2,1,2,1]
[4,7,5,1,3,6,8,2] => [2,1,4,1]
[7,5,3,6,2,4,1,8] => [1,1,2,2,2]
[5,7,3,6,1,4,8,2] => [2,2,3,1]
[5,3,6,7,2,1,8,4] => [1,3,1,2,1]
[6,1,7,5,2,4,8,3] => [1,2,1,3,1]
[6,3,1,2,4,5,8,7] => [1,1,5,1]
[1,4,7,2,5,3,8,6] => [3,2,2,1]
[4,6,7,8,3,5,1,2] => [4,2,2]
[3,6,1,8,4,2,5,7] => [2,2,1,3]
[1,6,7,5,8,2,4,3] => [3,2,2,1]
[3,5,6,7,8,1,4,2] => [5,2,1]
[3,6,5,7,8,2,1,4] => [2,3,1,2]
[5,2,7,6,1,4,3,8] => [1,2,1,2,2]
[2,5,7,6,8,1,3,4] => [3,2,3]
[2,7,5,6,8,4,1,3] => [2,3,1,2]
[2,1,6,8,4,5,3,7] => [1,3,2,2]
[2,7,1,8,5,3,4,6] => [2,2,1,3]
[3,7,6,8,5,4,1,2] => [2,2,1,1,2]
[4,3,8,5,6,7,1,2] => [1,2,3,2]
[4,2,8,1,6,3,7,5] => [1,2,2,2,1]
[3,1,8,5,4,6,7,2] => [1,2,1,3,1]
[3,2,8,4,5,6,1,7] => [1,2,3,2]
[3,4,2,8,6,1,7,5] => [2,2,1,2,1]
[3,4,7,1,5,2,6,8] => [3,2,3]
[4,3,7,8,1,2,6,5] => [1,3,3,1]
[1,7,3,8,5,2,6,4] => [2,2,1,2,1]
[4,1,8,3,6,2,5,7] => [1,2,2,3]
[5,7,8,6,3,2,1,4] => [3,1,1,1,2]
[5,7,8,6,1,3,4,2] => [3,1,3,1]
[7,6,5,8,1,3,4,2] => [1,1,2,3,1]
[1,6,4,3,8,2,5,7] => [2,1,2,3]
[7,1,3,4,8,2,6,5] => [1,4,2,1]
[3,6,5,4,1,2,7,8] => [2,1,1,4]
[2,4,5,1,7,8,6,3] => [3,3,1,1]
[2,6,3,4,5,8,1,7] => [2,4,2]
[2,6,4,1,8,3,7,5] => [2,1,2,2,1]
[7,3,6,4,8,5,1,2] => [1,2,2,1,2]
[7,2,1,4,8,3,5,6] => [1,1,3,3]
[7,1,6,5,3,8,4,2] => [1,2,1,2,1,1]
[7,2,5,6,3,8,1,4] => [1,3,2,2]
[6,5,2,7,1,8,4,3] => [1,1,2,2,1,1]
[5,6,2,7,3,1,4,8] => [2,2,1,3]
[5,6,7,4,2,8,1,3] => [3,1,2,2]
[5,7,6,4,1,8,3,2] => [2,1,1,2,1,1]
[6,7,1,5,2,8,3,4] => [2,2,2,2]
[1,7,5,2,4,8,3,6] => [2,1,3,2]
[6,1,5,2,8,3,4,7] => [1,2,2,3]
[6,7,5,3,8,4,1,2] => [2,1,2,1,2]
[1,6,5,4,2,3,8,7] => [2,1,1,3,1]
[7,1,5,3,4,2,8,6] => [1,2,2,2,1]
[7,6,1,5,3,2,8,4] => [1,1,2,1,2,1]
[7,5,6,4,1,2,8,3] => [1,2,1,3,1]
[6,7,5,4,3,1,8,2] => [2,1,1,1,2,1]
[7,5,2,4,3,1,6,8] => [1,1,2,1,3]
[7,4,6,1,2,5,3,8] => [1,2,3,2]
[7,1,4,2,5,3,6,8] => [1,2,2,3]
[6,8,1,4,2,5,7,3] => [2,2,3,1]
[1,6,4,2,5,7,3,8] => [2,1,3,2]
[1,6,3,7,5,4,2,8] => [2,2,1,1,2]
[6,8,1,3,7,5,4,2] => [2,3,1,1,1]
[7,1,3,5,6,4,2,8] => [1,4,1,2]
[7,3,1,6,4,5,2,8] => [1,1,2,2,2]
[7,4,2,6,5,1,3,8] => [1,1,2,1,3]
[7,4,6,3,1,5,2,8] => [1,2,1,2,2]
[7,2,4,1,5,3,6,8] => [1,2,2,3]
[7,2,3,5,4,1,6,8] => [1,3,1,3]
[6,8,1,2,3,4,7,5] => [2,5,1]
[1,5,7,2,3,8,6,4] => [3,3,1,1]
[5,1,8,2,3,6,7,4] => [1,2,4,1]
[5,8,2,3,7,6,4,1] => [2,3,1,1,1]
[6,2,8,1,3,7,4,5] => [1,2,3,2]
[6,8,2,3,5,4,7,1] => [2,3,2,1]
[6,8,2,4,1,5,7,3] => [2,2,3,1]
[6,8,3,1,2,4,7,5] => [2,1,4,1]
[2,6,4,1,5,7,3,8] => [2,1,3,2]
[2,6,3,5,7,1,4,8] => [2,3,3]
[2,5,1,7,8,3,6,4] => [2,3,2,1]
[2,5,3,6,8,4,7,1] => [2,3,2,1]
[2,1,4,7,8,5,6,3] => [1,4,2,1]
[2,4,7,6,8,5,1,3] => [3,2,1,2]
[2,5,3,7,6,1,8,4] => [2,2,1,2,1]
[2,5,7,8,1,4,6,3] => [4,3,1]
[3,5,7,4,1,6,2,8] => [3,1,2,2]
[5,3,4,1,8,6,7,2] => [1,2,2,2,1]
[5,2,8,4,6,1,7,3] => [1,2,2,2,1]
[5,2,1,8,6,3,7,4] => [1,1,2,1,2,1]
[4,2,8,6,5,3,7,1] => [1,2,1,1,2,1]
[4,2,8,5,7,6,3,1] => [1,2,2,1,1,1]
[1,4,2,7,5,8,6,3] => [2,2,2,1,1]
[4,1,8,6,7,5,3,2] => [1,2,2,1,1,1]
[5,3,8,7,6,2,4,1] => [1,2,1,1,2,1]
[5,8,4,7,6,2,1,3] => [2,2,1,1,2]
[5,8,7,4,3,6,1,2] => [2,1,1,2,2]
[6,4,8,3,1,7,2,5] => [1,2,1,2,2]
[6,4,2,8,7,1,3,5] => [1,1,2,1,3]
[6,3,8,7,2,5,1,4] => [1,2,1,2,2]
[5,8,3,7,1,6,4,2] => [2,2,2,1,1]
[5,1,3,8,6,7,2,4] => [1,3,2,2]
[1,5,3,7,8,6,2,4] => [2,3,1,2]
[1,5,7,6,4,2,8,3] => [3,1,1,2,1]
[5,8,7,4,1,6,2,3] => [2,1,1,2,2]
[6,4,8,1,2,7,3,5] => [1,2,3,2]
[6,8,5,1,2,3,7,4] => [2,1,4,1]
[6,8,5,2,4,3,7,1] => [2,1,2,2,1]
[6,8,5,3,1,2,7,4] => [2,1,1,3,1]
[4,5,1,2,7,6,3,8] => [2,3,1,2]
[4,5,1,2,6,8,7,3] => [2,4,1,1]
[3,5,6,1,8,4,7,2] => [3,2,2,1]
[3,5,7,1,2,8,6,4] => [3,3,1,1]
[3,6,2,7,5,1,4,8] => [2,2,1,3]
[4,2,6,1,7,3,5,8] => [1,2,2,3]
[4,6,3,1,2,7,5,8] => [2,1,3,2]
[4,5,3,1,7,6,2,8] => [2,1,2,1,2]
[4,2,5,7,1,6,3,8] => [1,3,2,2]
[3,5,2,7,8,1,6,4] => [2,3,2,1]
[3,1,4,7,5,6,2,8] => [1,3,2,2]
[3,4,6,5,8,7,1,2] => [3,2,1,2]
[3,1,4,5,8,6,7,2] => [1,4,2,1]
[3,4,6,8,5,2,7,1] => [4,1,2,1]
[3,5,6,2,8,4,7,1] => [3,2,2,1]
[4,2,5,6,1,8,7,3] => [1,3,2,1,1]
[4,5,3,1,6,8,7,2] => [2,1,3,1,1]
[2,1,7,5,8,6,4,3] => [1,2,2,1,1,1]
[1,2,7,5,3,8,6,4] => [3,1,2,1,1]
[4,1,2,7,3,8,6,5] => [1,3,2,1,1]
[6,4,1,7,5,2,3,8] => [1,1,2,1,3]
[6,1,3,7,5,2,4,8] => [1,3,1,3]
[3,1,2,6,8,5,4,7] => [1,4,1,2]
[3,7,1,2,5,4,8,6] => [2,3,2,1]
[1,3,7,2,4,8,6,5] => [3,3,1,1]
[2,4,1,7,8,6,5,3] => [2,3,1,1,1]
[3,4,7,5,1,8,6,2] => [3,1,2,1,1]
[2,7,4,1,5,8,6,3] => [2,1,3,1,1]
[2,3,7,1,5,8,6,4] => [3,3,1,1]
[5,2,8,1,3,7,4,6] => [1,2,3,2]
[2,1,6,8,3,4,7,5] => [1,3,3,1]
[2,6,8,3,1,5,7,4] => [3,1,3,1]
[2,8,6,4,1,5,7,3] => [2,1,1,3,1]
[3,6,4,8,5,1,7,2] => [2,2,1,2,1]
[6,3,7,4,5,1,8,2] => [1,2,2,2,1]
[2,6,3,7,5,8,1,4] => [2,2,2,2]
[5,2,1,7,8,3,4,6] => [1,1,3,3]
[4,7,2,3,6,8,1,5] => [2,4,2]
[5,2,7,3,6,8,1,4] => [1,2,3,2]
[5,7,4,6,2,8,1,3] => [2,2,2,2]
[5,7,3,4,6,1,8,2] => [2,3,2,1]
[5,3,8,4,6,1,7,2] => [1,2,2,2,1]
[8,5,2,4,1,6,7,3] => [1,1,2,3,1]
[8,2,3,5,1,6,7,4] => [1,3,3,1]
[4,2,8,3,6,7,1,5] => [1,2,3,2]
[2,4,8,1,7,3,5,6] => [3,2,3]
[8,4,1,3,6,2,5,7] => [1,1,3,3]
[4,8,3,1,7,2,5,6] => [2,1,2,3]
[5,2,8,4,7,1,6,3] => [1,2,2,2,1]
[5,8,4,7,3,1,6,2] => [2,2,1,2,1]
[4,6,8,3,1,7,5,2] => [3,1,2,1,1]
[6,3,8,2,7,1,5,4] => [1,2,2,2,1]
[6,3,1,8,2,4,7,5] => [1,1,2,3,1]
[5,3,8,1,2,6,4,7] => [1,2,3,2]
[5,7,4,1,6,2,3,8] => [2,1,2,3]
[8,5,4,1,2,6,3,7] => [1,1,1,3,2]
[5,1,8,4,2,7,3,6] => [1,2,1,2,2]
[1,6,2,8,5,3,7,4] => [2,2,1,2,1]
[6,8,5,3,1,7,4,2] => [2,1,1,2,1,1]
[8,4,5,1,2,6,3,7] => [1,2,3,2]
[5,6,3,7,1,2,4,8] => [2,2,4]
[1,6,3,7,2,8,4,5] => [2,2,2,2]
[6,3,2,7,8,5,1,4] => [1,1,3,1,2]
[4,5,7,8,3,1,6,2] => [4,1,2,1]
[4,7,2,5,8,1,6,3] => [2,3,2,1]
[8,1,3,4,6,2,5,7] => [1,4,3]
[3,8,2,4,6,7,1,5] => [2,4,2]
[3,5,6,8,2,7,1,4] => [4,2,2]
[2,4,5,6,8,1,7,3] => [5,2,1]
[4,8,3,5,6,1,7,2] => [2,3,2,1]
[5,6,2,3,7,8,1,4] => [2,4,2]
[5,8,7,3,4,1,2,6] => [2,1,2,3]
[6,8,7,3,4,1,2,5] => [2,1,2,3]
[6,8,4,7,1,5,3,2] => [2,2,2,1,1]
[6,8,4,7,2,5,3,1] => [2,2,2,1,1]
[5,4,8,7,2,6,3,1] => [1,2,1,2,1,1]
[5,4,8,7,1,6,3,2] => [1,2,1,2,1,1]
[5,3,8,7,6,1,2,4] => [1,2,1,1,3]
[4,3,8,7,6,1,2,5] => [1,2,1,1,3]
[4,8,3,7,5,1,2,6] => [2,2,1,3]
[8,3,4,6,5,1,2,7] => [1,3,1,3]
[3,8,4,7,5,1,2,6] => [2,2,1,3]
[3,4,8,7,6,1,2,5] => [3,1,1,3]
[3,5,8,7,6,1,2,4] => [3,1,1,3]
[4,5,8,7,6,1,2,3] => [3,1,1,3]
[4,5,8,7,1,6,3,2] => [3,1,2,1,1]
[4,5,8,7,2,6,3,1] => [3,1,2,1,1]
[3,5,8,2,7,6,4,1] => [3,2,1,1,1]
[3,5,8,1,7,6,4,2] => [3,2,1,1,1]
[2,5,8,1,7,6,4,3] => [3,2,1,1,1]
[2,5,8,7,1,6,3,4] => [3,1,2,2]
[2,4,8,7,1,6,3,5] => [3,1,2,2]
[2,8,4,7,1,5,3,6] => [2,2,2,2]
[8,2,4,6,1,5,3,7] => [1,3,2,2]
[8,1,4,6,2,5,3,7] => [1,3,2,2]
[1,8,4,7,2,5,3,6] => [2,2,2,2]
[1,4,8,7,2,6,3,5] => [3,1,2,2]
[1,5,8,7,2,6,3,4] => [3,1,2,2]
[1,5,8,2,7,6,4,3] => [3,2,1,1,1]
[2,5,8,3,7,6,4,1] => [3,2,1,1,1]
[1,4,2,8,7,6,5,3] => [2,2,1,1,1,1]
[1,3,8,2,7,6,4,5] => [3,2,1,2]
[1,8,3,2,7,5,4,6] => [2,1,2,1,2]
[8,1,3,2,6,5,4,7] => [1,2,2,1,2]
[8,2,3,1,6,5,4,7] => [1,2,2,1,2]
[2,8,3,1,7,5,4,6] => [2,1,2,1,2]
[2,3,8,1,7,6,4,5] => [3,2,1,2]
[3,4,1,8,7,6,5,2] => [2,2,1,1,1,1]
[4,3,1,8,7,6,5,2] => [1,1,2,1,1,1,1]
[4,2,1,8,7,6,5,3] => [1,1,2,1,1,1,1]
[3,8,2,1,7,5,4,6] => [2,1,2,1,2]
[8,3,2,1,6,5,4,7] => [1,1,1,2,1,2]
[8,4,2,6,1,5,3,7] => [1,1,2,2,2]
[4,2,8,7,1,6,3,5] => [1,2,1,2,2]
[5,2,8,7,1,6,3,4] => [1,2,1,2,2]
[5,2,8,1,7,6,4,3] => [1,2,2,1,1,1]
[5,3,8,1,7,6,4,2] => [1,2,2,1,1,1]
[5,3,8,2,7,6,4,1] => [1,2,2,1,1,1]
[6,8,3,2,7,5,4,1] => [2,1,2,1,1,1]
[6,8,3,1,7,5,4,2] => [2,1,2,1,1,1]
[6,8,2,1,7,5,4,3] => [2,1,2,1,1,1]
[6,8,2,7,1,5,3,4] => [2,2,2,2]
[6,8,7,2,1,4,3,5] => [2,1,1,2,2]
[8,5,6,1,2,4,3,7] => [1,2,3,2]
[5,8,7,1,2,4,3,6] => [2,1,3,2]
[6,8,1,2,7,5,4,3] => [2,3,1,1,1]
[6,8,2,3,7,5,4,1] => [2,3,1,1,1]
[5,2,8,3,7,6,4,1] => [1,2,2,1,1,1]
[5,1,8,3,7,6,4,2] => [1,2,2,1,1,1]
[5,1,8,7,2,6,3,4] => [1,2,1,2,2]
[4,1,8,7,2,6,3,5] => [1,2,1,2,2]
[4,8,1,7,2,5,3,6] => [2,2,2,2]
[8,4,1,6,2,5,3,7] => [1,1,2,2,2]
[8,3,1,2,6,5,4,7] => [1,1,3,1,2]
[3,8,1,2,7,5,4,6] => [2,3,1,2]
[3,1,8,2,7,6,4,5] => [1,2,2,1,2]
[3,1,2,8,7,6,5,4] => [1,3,1,1,1,1]
[4,1,3,8,7,6,5,2] => [1,3,1,1,1,1]
[3,1,4,8,7,6,5,2] => [1,3,1,1,1,1]
[2,1,8,3,7,6,4,5] => [1,2,2,1,2]
[2,8,1,3,7,5,4,6] => [2,3,1,2]
[8,2,1,3,6,5,4,7] => [1,1,3,1,2]
[8,1,2,3,6,5,4,7] => [1,4,1,2]
[1,8,2,3,7,5,4,6] => [2,3,1,2]
[1,2,8,3,7,6,4,5] => [3,2,1,2]
[1,4,3,6,8,2,5,7] => [2,3,3]
[3,1,6,2,5,8,4,7] => [1,2,3,2]
[3,5,1,8,2,4,7,6] => [2,2,3,1]
[1,4,5,2,8,3,7,6] => [3,2,2,1]
[1,4,2,6,5,8,3,7] => [2,2,2,2]
[1,5,4,2,6,8,3,7] => [2,1,3,2]
[3,1,6,5,8,2,4,7] => [1,2,2,3]
[1,6,4,2,5,8,3,7] => [2,1,3,2]
[1,5,2,6,4,8,3,7] => [2,2,2,2]
[1,2,6,5,4,8,3,7] => [3,1,2,2]
[1,2,5,4,7,3,8,6] => [3,2,2,1]
[4,1,2,6,3,8,7,5] => [1,3,2,1,1]
[7,1,5,4,2,8,3,6] => [1,2,1,2,2]
[1,4,7,5,2,8,3,6] => [3,1,2,2]
[7,1,3,5,2,8,4,6] => [1,3,2,2]
[7,2,5,1,8,3,4,6] => [1,2,2,3]
[1,4,5,2,8,7,3,6] => [3,2,1,2]
[1,6,4,2,8,3,7,5] => [2,1,2,2,1]
[1,4,2,8,3,7,6,5] => [2,2,2,1,1]
[1,2,5,3,8,7,6,4] => [3,2,1,1,1]
[1,2,8,6,5,3,7,4] => [3,1,1,2,1]
[1,5,2,8,6,3,7,4] => [2,2,1,2,1]
[1,6,4,2,8,7,3,5] => [2,1,2,1,2]
[6,2,1,8,7,3,4,5] => [1,1,2,1,3]
[7,6,2,1,8,3,4,5] => [1,1,1,2,3]
[7,3,1,6,2,8,4,5] => [1,1,2,2,2]
[1,7,6,4,2,8,3,5] => [2,1,1,2,2]
[1,7,5,2,6,3,8,4] => [2,1,2,2,1]
[1,6,2,7,5,3,8,4] => [2,2,1,2,1]
[1,2,7,6,5,3,8,4] => [3,1,1,2,1]
[1,2,6,5,3,8,7,4] => [3,1,2,1,1]
[1,5,2,6,3,8,7,4] => [2,2,2,1,1]
[1,5,2,7,6,3,8,4] => [2,2,1,2,1]
[1,6,5,2,7,3,8,4] => [2,1,2,2,1]
[1,5,7,4,2,8,3,6] => [3,1,2,2]
[4,1,2,8,6,3,7,5] => [1,3,1,2,1]
[3,1,8,6,2,4,7,5] => [1,2,1,3,1]
[4,3,7,1,8,2,5,6] => [1,2,2,3]
[8,3,1,6,2,4,7,5] => [1,1,2,3,1]
[7,1,8,3,2,4,6,5] => [1,2,1,3,1]
[1,8,7,3,2,4,6,5] => [2,1,1,3,1]
[1,4,2,8,7,3,6,5] => [2,2,1,2,1]
[1,7,4,2,8,3,6,5] => [2,1,2,2,1]
[8,1,5,4,2,7,3,6] => [1,2,1,2,2]
[1,4,8,5,2,7,3,6] => [3,1,2,2]
[8,5,3,1,7,2,4,6] => [1,1,1,2,3]
[8,6,2,1,7,3,4,5] => [1,1,1,2,3]
[1,8,6,4,2,7,3,5] => [2,1,1,2,2]
[1,8,5,2,6,3,7,4] => [2,1,2,2,1]
[1,5,2,7,3,8,6,4] => [2,2,2,1,1]
[1,2,8,5,3,7,6,4] => [3,1,2,1,1]
[1,2,6,3,8,7,5,4] => [3,2,1,1,1]
[1,2,7,6,3,8,5,4] => [3,1,2,1,1]
[1,6,2,7,3,8,5,4] => [2,2,2,1,1]
[1,7,2,8,5,3,6,4] => [2,2,1,2,1]
[1,7,4,2,8,6,3,5] => [2,1,2,1,2]
[7,1,8,3,2,6,4,5] => [1,2,1,2,2]
[7,2,1,8,6,3,4,5] => [1,1,2,1,3]
[1,8,7,3,2,6,4,5] => [2,1,1,2,2]
[1,4,2,8,7,6,3,5] => [2,2,1,1,2]
[1,2,8,7,5,3,6,4] => [3,1,1,2,1]
[1,2,8,6,3,7,5,4] => [3,1,2,1,1]
[1,2,7,3,8,6,5,4] => [3,2,1,1,1]
[4,1,7,3,6,5,8,2] => [1,2,2,2,1]
[5,1,8,7,6,2,4,3] => [1,2,1,1,2,1]
[8,1,7,6,3,4,5,2] => [1,2,1,3,1]
[5,7,8,6,2,4,1,3] => [3,1,2,2]
[5,7,1,6,2,4,3,8] => [2,2,2,2]
[6,4,1,5,2,7,3,8] => [1,1,2,2,2]
[8,1,4,5,3,7,6,2] => [1,3,2,1,1]
[6,1,4,5,3,8,7,2] => [1,3,2,1,1]
[6,1,4,5,3,7,8,2] => [1,3,3,1]
[5,1,7,8,6,2,4,3] => [1,3,1,2,1]
[6,1,4,8,3,5,7,2] => [1,3,3,1]
[7,1,8,6,3,4,5,2] => [1,2,1,3,1]
[7,1,4,5,3,8,6,2] => [1,3,2,1,1]
[7,1,4,5,3,6,8,2] => [1,3,3,1]
[8,1,4,5,3,6,7,2] => [1,3,3,1]
[7,4,1,5,2,6,3,8] => [1,1,2,2,2]
[6,3,5,7,2,1,4,8] => [1,3,1,3]
[6,3,5,8,2,1,7,4] => [1,3,1,2,1]
[6,3,5,7,2,1,8,4] => [1,3,1,2,1]
[8,4,5,7,3,6,1,2] => [1,3,2,2]
[6,4,5,8,3,7,2,1] => [1,3,2,1,1]
[5,8,7,6,2,4,1,3] => [2,1,1,2,2]
[5,4,8,6,3,1,7,2] => [1,2,1,1,2,1]
[5,4,1,8,2,3,7,6] => [1,1,2,3,1]
[5,8,1,6,2,4,3,7] => [2,2,2,2]
[8,4,1,5,2,6,3,7] => [1,1,2,2,2]
[6,3,5,8,2,1,4,7] => [1,3,1,3]
[2,3,4,1,8,6,5,7] => [3,2,1,2]
[8,3,5,6,2,1,4,7] => [1,3,1,3]
[2,3,8,5,1,4,7,6] => [3,1,3,1]
[2,3,8,6,1,5,7,4] => [3,1,3,1]
[2,8,6,7,1,3,5,4] => [2,2,3,1]
[8,3,5,7,2,1,6,4] => [1,3,1,2,1]
[2,3,8,5,6,1,7,4] => [3,2,2,1]
[7,4,5,6,3,1,8,2] => [1,3,1,2,1]
[8,4,5,6,3,1,7,2] => [1,3,1,2,1]
[7,3,5,6,2,8,1,4] => [1,3,2,2]
[7,3,5,8,2,1,6,4] => [1,3,1,2,1]
[7,3,5,6,2,1,4,8] => [1,3,1,3]
[2,7,6,5,1,3,4,8] => [2,1,1,4]
[2,7,6,8,1,3,5,4] => [2,2,3,1]
[2,7,6,5,8,3,1,4] => [2,1,2,1,2]
[8,7,5,6,1,4,2,3] => [1,1,2,2,2]
[2,6,4,1,8,5,7,3] => [2,1,2,2,1]
[2,6,1,3,8,5,7,4] => [2,3,2,1]
[2,7,1,3,6,5,8,4] => [2,3,2,1]
[2,7,6,8,4,3,1,5] => [2,2,1,1,2]
[2,7,6,1,8,3,4,5] => [2,1,2,3]
[2,7,6,1,4,3,5,8] => [2,1,2,3]
[7,3,5,1,2,8,4,6] => [1,2,3,2]
[8,4,1,5,2,3,7,6] => [1,1,2,3,1]
[7,8,1,6,3,4,2,5] => [2,2,2,2]
[6,4,1,8,3,2,7,5] => [1,1,2,1,2,1]
[2,3,8,6,4,1,7,5] => [3,1,1,2,1]
[2,8,6,7,4,3,1,5] => [2,2,1,1,2]
[8,3,5,7,2,4,1,6] => [1,3,2,2]
[2,3,4,1,8,7,5,6] => [3,2,1,2]
[2,8,6,1,7,3,4,5] => [2,1,2,3]
[2,3,8,1,6,4,7,5] => [3,2,2,1]
[2,3,8,1,4,5,7,6] => [3,4,1]
[2,8,6,1,4,3,5,7] => [2,1,2,3]
[8,4,3,6,5,1,7,2] => [1,1,2,1,2,1]
[8,5,6,3,4,1,7,2] => [1,2,2,2,1]
[8,6,5,4,3,1,7,2] => [1,1,1,1,1,2,1]
[1,7,6,5,4,2,3,8] => [2,1,1,1,3]
[1,8,6,5,2,7,3,4] => [2,1,1,2,2]
[8,7,5,4,1,6,3,2] => [1,1,1,1,2,1,1]
[7,8,5,4,1,3,6,2] => [2,1,1,3,1]
[6,8,5,4,2,1,7,3] => [2,1,1,1,2,1]
[5,8,6,2,4,1,7,3] => [2,1,2,2,1]
[4,8,2,6,5,1,7,3] => [2,2,1,2,1]
[3,2,8,6,5,1,7,4] => [1,2,1,1,2,1]
[3,2,1,7,6,4,5,8] => [1,1,2,1,3]
[4,1,3,7,6,2,5,8] => [1,3,1,3]
[5,1,7,3,6,2,4,8] => [1,2,2,3]
[6,1,7,5,3,2,4,8] => [1,2,1,1,3]
[7,1,6,5,2,4,3,8] => [1,2,1,2,2]
[8,1,6,5,2,3,7,4] => [1,2,1,3,1]
[1,2,7,6,3,4,5,8] => [3,1,4]
[1,2,8,3,7,4,5,6] => [3,2,3]
[8,1,7,2,6,3,5,4] => [1,2,2,2,1]
[7,1,8,2,6,4,3,5] => [1,2,2,1,2]
[6,1,8,2,4,7,3,5] => [1,2,3,2]
[5,1,8,3,2,7,4,6] => [1,2,1,2,2]
[4,1,3,8,2,7,5,6] => [1,3,2,2]
[3,2,1,8,4,7,5,6] => [1,1,2,2,2]
[3,2,8,7,1,6,5,4] => [1,2,1,2,1,1]
[4,8,2,7,1,6,5,3] => [2,2,2,1,1]
[5,8,7,2,1,6,4,3] => [2,1,1,2,1,1]
[6,8,7,1,3,5,4,2] => [2,1,3,1,1]
[7,8,6,1,5,3,4,2] => [2,1,2,2,1]
[8,7,6,1,5,4,3,2] => [1,1,1,2,1,1,1]
[1,8,7,2,6,5,3,4] => [2,1,2,1,2]
[1,7,8,2,5,6,3,4] => [3,3,2]
[8,6,7,1,4,5,3,2] => [1,2,3,1,1]
[7,6,8,1,4,3,5,2] => [1,2,2,2,1]
[6,5,8,3,2,1,7,4] => [1,2,1,1,2,1]
[7,5,8,3,1,4,6,2] => [1,2,1,3,1]
[8,5,7,3,1,6,4,2] => [1,2,1,2,1,1]
[1,6,8,4,2,7,3,5] => [3,1,2,2]
[1,5,4,8,2,7,3,6] => [2,2,2,2]
[8,4,3,7,1,6,5,2] => [1,1,2,2,1,1]
[7,4,3,8,1,5,6,2] => [1,1,2,3,1]
[6,4,3,1,5,2,7,8] => [1,1,1,2,3]
[7,4,3,1,2,6,5,8] => [1,1,1,3,2]
[8,4,3,1,2,5,7,6] => [1,1,1,4,1]
[1,5,4,2,3,6,7,8] => [2,1,5]
[8,5,1,4,2,3,7,6] => [1,1,2,3,1]
[7,5,1,4,2,6,3,8] => [1,1,2,2,2]
[6,5,1,4,3,2,7,8] => [1,1,2,1,3]
[5,6,1,3,4,2,7,8] => [2,3,3]
[4,6,2,1,5,3,7,8] => [2,1,2,3]
[3,2,6,1,5,4,7,8] => [1,2,2,3]
[3,2,7,1,4,6,5,8] => [1,2,3,2]
[4,7,2,1,3,6,5,8] => [2,1,3,2]
[5,7,1,3,2,6,4,8] => [2,2,2,2]
[6,7,1,2,4,5,3,8] => [2,4,2]
[7,6,1,2,5,4,3,8] => [1,1,3,1,2]
[8,6,1,2,5,3,7,4] => [1,1,3,2,1]
[1,7,2,3,6,4,5,8] => [2,3,3]
[8,7,1,2,3,6,5,4] => [1,1,4,1,1]
[7,8,1,2,3,5,6,4] => [2,5,1]
[6,8,1,2,4,3,7,5] => [2,3,2,1]
[5,8,1,3,2,4,7,6] => [2,2,3,1]
[4,8,2,1,3,5,7,6] => [2,1,4,1]
[3,2,8,1,4,5,7,6] => [1,2,4,1]
[4,1,3,2,5,6,7,8] => [1,2,5]
[5,1,2,4,3,6,7,8] => [1,3,4]
[6,1,2,3,5,4,7,8] => [1,4,3]
[7,1,2,3,4,6,5,8] => [1,5,2]
[8,1,2,3,4,5,7,6] => [1,6,1]
[6,7,3,8,5,1,2,4] => [2,2,1,3]
[6,7,4,5,1,8,3,2] => [2,2,2,1,1]
[5,4,7,6,8,1,2,3] => [1,2,2,3]
[5,3,7,8,6,1,2,4] => [1,3,1,3]
[3,8,4,5,7,1,2,6] => [2,3,3]
[3,4,8,6,7,1,2,5] => [3,2,3]
[4,5,6,7,1,8,3,2] => [4,2,1,1]
[3,5,6,2,7,4,8,1] => [3,2,2,1]
[3,5,6,1,7,8,4,2] => [3,3,1,1]
[2,5,6,1,8,7,4,3] => [3,2,1,1,1]
[2,5,6,8,1,7,3,4] => [4,2,2]
[8,2,4,5,1,6,3,7] => [1,3,2,2]
[1,4,8,6,2,3,7,5] => [3,1,3,1]
[1,5,6,8,2,3,7,4] => [4,3,1]
[1,5,6,2,8,4,7,3] => [3,2,2,1]
[2,5,6,3,4,7,8,1] => [3,4,1]
[1,4,2,6,8,5,7,3] => [2,3,2,1]
[8,1,3,2,5,4,6,7] => [1,2,2,3]
[8,2,3,1,5,6,4,7] => [1,2,3,2]
[2,8,3,1,5,7,4,6] => [2,1,3,2]
[2,4,1,6,8,7,5,3] => [2,3,1,1,1]
[3,4,1,6,7,8,5,2] => [2,4,1,1]
[4,3,1,7,6,8,5,2] => [1,1,2,2,1,1]
[5,2,7,8,1,6,3,4] => [1,3,2,2]
[5,3,7,2,6,4,8,1] => [1,2,2,2,1]
[6,7,3,1,5,8,4,2] => [2,1,3,1,1]
[6,7,2,1,8,5,4,3] => [2,1,2,1,1,1]
[6,7,2,8,1,5,3,4] => [2,2,2,2]
[6,7,8,2,1,4,3,5] => [3,1,2,2]
[6,7,1,2,8,4,5,3] => [2,3,2,1]
[6,7,1,3,4,8,5,2] => [2,4,1,1]
[5,2,7,3,4,6,8,1] => [1,2,4,1]
[5,1,7,3,4,8,6,2] => [1,2,3,1,1]
[5,1,7,8,2,3,6,4] => [1,3,3,1]
[4,1,8,7,2,3,6,5] => [1,2,1,3,1]
[3,8,1,2,7,4,5,6] => [2,3,3]
[4,1,3,7,5,8,6,2] => [1,3,2,1,1]
[3,1,4,5,7,8,6,2] => [1,5,1,1]
[2,1,8,3,4,7,6,5] => [1,2,3,1,1]
[8,2,1,3,4,6,5,7] => [1,1,4,2]
[1,8,2,3,4,5,7,6] => [2,5,1]
[1,2,8,3,4,6,7,5] => [3,4,1]
[4,2,1,6,5,8,7,3] => [1,1,2,2,1,1]
[5,2,6,1,4,8,7,3] => [1,2,3,1,1]
[5,2,6,4,1,8,7,3] => [1,2,1,2,1,1]
[5,2,7,4,8,1,6,3] => [1,2,2,2,1]
[5,2,7,4,8,6,1,3] => [1,2,2,1,2]
[5,7,2,3,8,6,1,4] => [2,3,1,2]
[5,7,2,3,8,1,6,4] => [2,3,2,1]
[5,6,2,3,1,8,7,4] => [2,2,2,1,1]
[5,6,2,1,3,8,7,4] => [2,1,3,1,1]
[5,1,6,4,2,8,7,3] => [1,2,1,2,1,1]
[5,6,1,3,2,8,7,4] => [2,2,2,1,1]
[5,6,3,1,2,8,7,4] => [2,1,3,1,1]
[5,6,3,2,1,8,7,4] => [2,1,1,2,1,1]
[5,7,3,2,8,1,6,4] => [2,1,2,2,1]
[5,7,3,2,8,6,1,4] => [2,1,2,1,2]
[6,7,3,8,2,1,5,4] => [2,2,1,2,1]
[6,7,3,8,1,2,5,4] => [2,2,3,1]
[5,7,3,1,8,2,6,4] => [2,1,2,2,1]
[5,7,1,3,8,2,6,4] => [2,3,2,1]
[5,1,7,4,8,2,6,3] => [1,2,2,2,1]
[1,5,7,4,8,3,6,2] => [3,2,2,1]
[1,5,7,4,8,6,3,2] => [3,2,1,1,1]
[5,1,7,4,8,6,2,3] => [1,2,2,1,2]
[5,7,1,3,8,6,2,4] => [2,3,1,2]
[5,7,3,1,8,6,2,4] => [2,1,2,1,2]
[6,7,3,8,1,5,2,4] => [2,2,2,2]
[6,7,3,8,5,2,1,4] => [2,2,1,1,2]
[6,7,8,3,1,4,2,5] => [3,1,2,2]
[6,7,1,8,3,5,2,4] => [2,2,2,2]
[6,1,7,8,4,5,2,3] => [1,3,2,2]
[1,6,7,8,4,5,3,2] => [4,2,1,1]
[1,6,7,8,4,3,5,2] => [4,1,2,1]
[6,1,7,8,4,2,5,3] => [1,3,1,2,1]
[6,7,1,8,3,2,5,4] => [2,2,1,2,1]
[5,7,2,1,8,3,6,4] => [2,1,2,2,1]
[6,7,2,8,1,3,5,4] => [2,2,3,1]
[6,7,2,8,3,1,5,4] => [2,2,1,2,1]
[6,7,2,8,3,5,1,4] => [2,2,2,2]
[6,2,7,8,4,5,1,3] => [1,3,2,2]
[6,2,7,8,4,1,5,3] => [1,3,1,2,1]
[6,2,7,8,1,4,5,3] => [1,3,3,1]
[5,2,7,1,8,4,6,3] => [1,2,2,2,1]
[4,2,1,7,8,5,6,3] => [1,1,3,2,1]
[4,1,2,7,8,6,5,3] => [1,4,1,1,1]
[6,2,7,8,1,5,4,3] => [1,3,2,1,1]
[6,2,7,8,5,1,4,3] => [1,3,1,2,1]
[6,2,7,8,5,4,1,3] => [1,3,1,1,2]
[6,7,2,8,5,3,1,4] => [2,2,1,1,2]
[5,7,2,1,8,6,3,4] => [2,1,2,1,2]
[5,7,1,2,8,6,3,4] => [2,3,1,2]
[5,1,7,2,8,6,4,3] => [1,2,2,1,1,1]
[1,5,7,3,8,6,4,2] => [3,2,1,1,1]
[1,6,7,8,3,5,4,2] => [4,2,1,1]
[6,1,7,8,2,5,4,3] => [1,3,2,1,1]
[6,7,1,8,2,5,3,4] => [2,2,2,2]
[6,7,8,2,4,1,3,5] => [3,2,3]
[6,7,8,2,4,3,1,5] => [3,2,1,2]
[6,7,1,8,5,2,3,4] => [2,2,1,3]
[6,1,7,8,5,2,4,3] => [1,3,1,2,1]
[1,6,7,8,5,3,4,2] => [4,1,2,1]
[6,1,7,8,5,4,2,3] => [1,3,1,1,2]
[6,7,1,8,5,3,2,4] => [2,2,1,1,2]
[6,7,8,4,1,3,2,5] => [3,1,2,2]
[6,3,8,5,2,7,4,1] => [1,2,1,2,1,1]
[6,5,2,8,4,7,3,1] => [1,1,2,2,1,1]
[6,3,4,5,8,7,2,1] => [1,4,1,1,1]
[3,8,4,7,5,2,1,6] => [2,2,1,1,2]
[5,8,1,4,7,2,3,6] => [2,3,3]
[5,6,1,4,8,7,3,2] => [2,3,1,1,1]
[3,6,4,8,5,7,1,2] => [2,2,2,2]
[5,1,4,8,6,3,7,2] => [1,3,1,2,1]
[3,4,7,1,8,6,5,2] => [3,2,1,1,1]
[6,3,8,4,2,7,1,5] => [1,2,1,2,2]
[3,6,8,7,1,4,2,5] => [3,1,2,2]
[5,3,7,1,6,8,2,4] => [1,2,3,2]
[4,3,8,5,6,7,2,1] => [1,2,3,1,1]
[5,8,1,7,6,2,4,3] => [2,2,1,2,1]
[4,6,1,2,7,8,5,3] => [2,4,1,1]
[3,6,4,2,8,7,5,1] => [2,1,2,1,1,1]
[6,3,7,5,2,8,1,4] => [1,2,1,2,2]
[6,5,2,7,4,8,1,3] => [1,1,2,2,2]
[5,7,1,4,8,3,2,6] => [2,3,1,2]
[7,8,3,5,1,4,6,2] => [2,2,3,1]
[5,8,1,4,6,7,2,3] => [2,4,2]
[6,5,8,4,3,7,2,1] => [1,2,1,2,1,1]
[6,3,7,4,2,8,5,1] => [1,2,1,2,1,1]
[8,7,1,6,2,4,5,3] => [1,1,2,3,1]
[3,8,6,7,1,4,5,2] => [2,2,3,1]
[5,3,8,7,4,1,2,6] => [1,2,1,1,3]
[4,3,8,7,1,5,6,2] => [1,2,1,3,1]
[8,3,6,1,2,5,7,4] => [1,2,4,1]
[5,6,1,8,7,3,2,4] => [2,2,1,1,2]
[5,4,2,7,3,6,8,1] => [1,1,2,3,1]
[7,5,3,6,4,2,8,1] => [1,1,2,1,2,1]
[6,4,1,5,3,8,2,7] => [1,1,2,2,2]
[8,2,6,3,4,7,5,1] => [1,2,3,1,1]
[7,2,6,3,5,4,8,1] => [1,2,2,2,1]
[6,2,7,4,3,5,8,1] => [1,2,1,3,1]
[5,7,3,6,4,2,8,1] => [2,2,1,2,1]
[3,7,6,4,5,2,8,1] => [2,1,2,2,1]
[2,7,6,5,3,4,8,1] => [2,1,1,3,1]
[6,5,4,3,1,8,2,7] => [1,1,1,1,2,2]
[8,6,5,4,2,7,3,1] => [1,1,1,1,2,1,1]
[8,5,4,1,7,2,6,3] => [1,1,1,2,2,1]
[7,5,4,1,8,3,2,6] => [1,1,1,2,1,2]
[1,6,5,2,8,3,4,7] => [2,1,2,3]
[1,6,5,3,4,8,2,7] => [2,1,3,2]
[5,4,6,3,1,8,2,7] => [1,2,1,2,2]
[6,5,8,4,2,7,3,1] => [1,2,1,2,1,1]
[5,8,2,6,4,7,3,1] => [2,2,2,1,1]
[3,8,6,2,5,7,4,1] => [2,1,3,1,1]
[7,8,5,3,2,6,4,1] => [2,1,1,2,1,1]
[6,8,3,1,7,2,5,4] => [2,1,2,2,1]
[1,8,6,3,7,5,2,4] => [2,1,2,1,2]
[8,7,5,2,6,4,3,1] => [1,1,1,2,1,1,1]
[8,7,1,6,2,5,4,3] => [1,1,2,2,1,1]
[7,8,1,6,3,2,5,4] => [2,2,1,2,1]
[2,8,1,7,3,5,6,4] => [2,2,3,1]
[3,8,6,1,7,4,5,2] => [2,1,2,2,1]
[4,8,1,3,7,2,6,5] => [2,3,2,1]
[4,2,8,5,7,3,6,1] => [1,2,2,2,1]
[5,1,7,6,8,3,2,4] => [1,2,2,1,2]
[3,7,1,5,8,4,2,6] => [2,3,1,2]
[6,7,3,1,8,4,2,5] => [2,1,2,1,2]
[1,7,3,8,4,5,2,6] => [2,2,2,2]
[1,7,2,8,5,3,4,6] => [2,2,1,3]
[7,6,1,8,4,3,2,5] => [1,1,2,1,1,2]
[8,6,1,7,4,2,5,3] => [1,1,2,1,2,1]
[8,1,2,7,3,4,6,5] => [1,3,3,1]
[7,1,2,8,3,5,4,6] => [1,3,2,2]
[7,2,6,1,8,4,3,5] => [1,2,2,1,2]
[8,2,6,1,7,3,5,4] => [1,2,2,2,1]
[8,3,1,4,7,5,6,2] => [1,1,3,2,1]
[7,3,1,5,8,4,2,6] => [1,1,3,1,2]
[4,2,1,5,8,3,6,7] => [1,1,3,3]
[5,4,2,7,1,8,3,6] => [1,1,2,2,2]
[5,4,3,1,6,8,2,7] => [1,1,1,3,2]
[4,7,5,6,8,3,2,1] => [2,3,1,1,1]
[6,5,4,8,2,7,3,1] => [1,1,2,2,1,1]
[6,5,1,8,7,4,2,3] => [1,1,2,1,1,2]
[8,6,4,7,5,3,2,1] => [1,1,2,1,1,1,1]
[5,1,8,3,7,6,2,4] => [1,2,2,1,2]
[5,4,8,1,7,2,6,3] => [1,2,2,2,1]
[7,5,8,3,2,6,4,1] => [1,2,1,2,1,1]
[3,6,8,2,4,7,5,1] => [3,3,1,1]
[5,7,3,8,2,6,4,1] => [2,2,2,1,1]
[5,4,6,8,2,7,3,1] => [1,3,2,1,1]
[5,2,6,8,7,3,4,1] => [1,3,1,2,1]
[4,7,2,8,6,3,5,1] => [2,2,1,2,1]
[3,6,8,1,7,2,5,4] => [3,2,2,1]
[2,3,8,7,4,5,6,1] => [3,1,3,1]
[7,2,8,6,4,3,5,1] => [1,2,1,1,2,1]
[2,1,8,7,5,6,3,4] => [1,2,1,2,2]
[8,2,7,6,3,5,4,1] => [1,2,1,2,1,1]
[8,1,7,6,5,2,4,3] => [1,2,1,1,2,1]
[7,1,8,6,5,3,2,4] => [1,2,1,1,1,2]
[1,2,8,7,6,3,4,5] => [3,1,1,3]
[1,3,8,7,4,6,2,5] => [3,1,2,2]
[1,5,8,3,7,6,2,4] => [3,2,1,2]
[5,1,6,8,7,4,2,3] => [1,3,1,1,2]
[6,8,4,7,5,3,2,1] => [2,2,1,1,1,1]
[6,8,7,2,5,4,3,1] => [2,1,2,1,1,1]
[3,8,7,6,4,5,2,1] => [2,1,1,2,1,1]
[2,8,7,6,5,3,4,1] => [2,1,1,1,2,1]
[1,8,7,6,5,4,2,3] => [2,1,1,1,1,2]
[5,8,6,7,3,4,1,2] => [2,2,2,2]
[4,8,6,7,3,5,1,2] => [2,2,2,2]
[3,8,6,7,4,5,1,2] => [2,2,2,2]
[2,8,6,7,4,5,1,3] => [2,2,2,2]
[1,8,6,7,4,5,2,3] => [2,2,2,2]
[1,8,5,7,4,6,2,3] => [2,2,2,2]
[3,8,5,7,4,6,1,2] => [2,2,2,2]
[4,8,5,7,3,6,1,2] => [2,2,2,2]
[7,8,3,6,4,5,1,2] => [2,2,2,2]
[6,8,3,7,4,5,1,2] => [2,2,2,2]
[5,8,3,7,4,6,1,2] => [2,2,2,2]
[3,7,4,8,5,6,1,2] => [2,2,2,2]
[4,7,3,8,5,6,1,2] => [2,2,2,2]
[4,7,2,8,5,6,1,3] => [2,2,2,2]
[4,7,1,8,5,6,2,3] => [2,2,2,2]
[3,7,1,8,5,6,2,4] => [2,2,2,2]
[3,7,2,8,5,6,1,4] => [2,2,2,2]
[2,7,3,8,5,6,1,4] => [2,2,2,2]
[2,7,4,8,5,6,1,3] => [2,2,2,2]
[5,8,2,7,4,6,1,3] => [2,2,2,2]
[6,8,2,7,4,5,1,3] => [2,2,2,2]
[7,8,2,6,4,5,1,3] => [2,2,2,2]
[7,8,1,6,4,5,2,3] => [2,2,2,2]
[6,8,1,7,4,5,2,3] => [2,2,2,2]
[5,8,1,7,4,6,2,3] => [2,2,2,2]
[1,7,4,8,5,6,2,3] => [2,2,2,2]
[1,7,3,8,5,6,2,4] => [2,2,2,2]
[2,8,5,6,1,7,3,4] => [2,2,2,2]
[1,8,5,6,2,7,3,4] => [2,2,2,2]
[1,7,3,8,4,6,2,5] => [2,2,2,2]
[4,8,1,7,3,6,2,5] => [2,2,2,2]
[5,8,1,7,3,6,2,4] => [2,2,2,2]
[6,8,1,7,3,5,2,4] => [2,2,2,2]
[7,8,2,6,3,5,1,4] => [2,2,2,2]
[6,8,2,7,3,5,1,4] => [2,2,2,2]
[5,8,2,7,3,6,1,4] => [2,2,2,2]
[4,8,2,7,3,6,1,5] => [2,2,2,2]
[2,7,3,8,4,6,1,5] => [2,2,2,2]
[3,7,2,8,4,6,1,5] => [2,2,2,2]
[3,7,1,8,4,6,2,5] => [2,2,2,2]
[1,8,4,7,3,6,2,5] => [2,2,2,2]
[2,8,4,7,3,6,1,5] => [2,2,2,2]
[3,8,4,7,2,6,1,5] => [2,2,2,2]
[4,8,5,7,2,6,1,3] => [2,2,2,2]
[3,8,5,7,2,6,1,4] => [2,2,2,2]
[2,8,5,7,3,6,1,4] => [2,2,2,2]
[1,8,5,7,3,6,2,4] => [2,2,2,2]
[1,8,6,7,3,5,2,4] => [2,2,2,2]
[2,8,6,7,3,5,1,4] => [2,2,2,2]
[3,8,6,7,2,5,1,4] => [2,2,2,2]
[4,8,6,7,2,5,1,3] => [2,2,2,2]
[5,8,6,7,2,4,1,3] => [2,2,2,2]
[6,8,5,7,1,4,2,3] => [2,2,2,2]
[5,8,6,7,1,4,2,3] => [2,2,2,2]
[4,8,6,7,1,5,2,3] => [2,2,2,2]
[3,8,6,7,1,5,2,4] => [2,2,2,2]
[1,5,2,8,6,7,3,4] => [2,2,2,2]
[2,5,1,8,6,7,3,4] => [2,2,2,2]
[2,6,1,8,5,7,3,4] => [2,2,2,2]
[1,6,2,8,5,7,3,4] => [2,2,2,2]
[3,8,5,7,1,6,2,4] => [2,2,2,2]
[6,8,4,7,1,5,2,3] => [2,2,2,2]
[7,8,4,6,1,5,2,3] => [2,2,2,2]
[7,8,3,6,1,5,2,4] => [2,2,2,2]
[6,8,3,7,1,5,2,4] => [2,2,2,2]
[4,8,3,7,1,6,2,5] => [2,2,2,2]
[3,8,4,7,1,6,2,5] => [2,2,2,2]
[1,6,2,8,4,7,3,5] => [2,2,2,2]
[2,6,1,8,4,7,3,5] => [2,2,2,2]
[3,7,2,6,1,8,4,5] => [2,2,2,2]
[3,7,1,6,2,8,4,5] => [2,2,2,2]
[4,8,1,6,2,7,3,5] => [2,2,2,2]
[5,8,1,6,2,7,3,4] => [2,2,2,2]
[7,8,1,5,2,6,3,4] => [2,2,2,2]
[7,8,2,5,1,6,3,4] => [2,2,2,2]
[6,8,2,5,1,7,3,4] => [2,2,2,2]
[5,8,2,6,1,7,3,4] => [2,2,2,2]
[4,8,2,6,1,7,3,5] => [2,2,2,2]
[1,7,3,6,2,8,4,5] => [2,2,2,2]
[2,7,3,6,1,8,4,5] => [2,2,2,2]
[6,7,4,8,3,5,1,2] => [2,2,2,2]
[6,7,4,5,2,8,1,3] => [2,2,2,2]
[5,7,4,6,2,3,1,8] => [2,2,2,2]
[5,7,4,6,3,8,1,2] => [2,2,2,2]
[5,7,4,8,3,6,1,2] => [2,2,2,2]
[6,8,4,5,3,7,1,2] => [2,2,2,2]
[5,8,4,6,3,7,1,2] => [2,2,2,2]
[5,6,4,8,3,7,1,2] => [2,2,2,2]
[5,6,3,7,2,4,1,8] => [2,2,2,2]
[5,6,3,7,2,8,1,4] => [2,2,2,2]
[5,6,3,8,2,7,1,4] => [2,2,2,2]
[5,6,4,8,2,7,1,3] => [2,2,2,2]
[5,8,4,6,2,7,1,3] => [2,2,2,2]
[6,8,4,5,2,7,1,3] => [2,2,2,2]
[7,8,4,5,2,6,1,3] => [2,2,2,2]
[6,8,4,5,2,3,1,7] => [2,2,2,2]
[5,8,4,6,2,3,1,7] => [2,2,2,2]
[5,6,4,8,2,3,1,7] => [2,2,2,2]
[5,6,3,8,2,4,1,7] => [2,2,2,2]
[5,6,3,4,2,8,1,7] => [2,2,2,2]
[4,6,3,5,2,7,1,8] => [2,2,2,2]
[4,6,3,5,2,8,1,7] => [2,2,2,2]
[4,6,3,8,2,5,1,7] => [2,2,2,2]
[4,8,3,6,2,5,1,7] => [2,2,2,2]
[5,8,3,6,2,4,1,7] => [2,2,2,2]
[6,8,3,5,2,4,1,7] => [2,2,2,2]
[7,8,3,5,2,4,1,6] => [2,2,2,2]
[7,8,3,5,2,6,1,4] => [2,2,2,2]
[5,8,3,6,2,7,1,4] => [2,2,2,2]
[4,8,3,6,2,7,1,5] => [2,2,2,2]
[4,6,3,8,2,7,1,5] => [2,2,2,2]
[4,6,3,7,2,8,1,5] => [2,2,2,2]
[4,7,3,6,2,5,1,8] => [2,2,2,2]
[4,7,3,6,2,8,1,5] => [2,2,2,2]
[4,7,3,8,2,6,1,5] => [2,2,2,2]
[5,7,4,8,2,6,1,3] => [2,2,2,2]
[5,7,3,6,2,8,1,4] => [2,2,2,2]
[5,7,3,6,2,4,1,8] => [2,2,2,2]
[6,7,3,5,2,4,1,8] => [2,2,2,2]
[6,7,3,5,2,8,1,4] => [2,2,2,2]
[6,7,4,8,2,5,1,3] => [2,2,2,2]
[6,7,5,8,2,4,1,3] => [2,2,2,2]
[6,8,5,7,2,3,1,4] => [2,2,2,2]
[6,7,4,8,2,3,1,5] => [2,2,2,2]
[6,7,3,8,2,4,1,5] => [2,2,2,2]
[6,7,3,4,2,8,1,5] => [2,2,2,2]
[5,7,3,4,2,6,1,8] => [2,2,2,2]
[5,7,3,4,2,8,1,6] => [2,2,2,2]
[5,7,4,8,2,3,1,6] => [2,2,2,2]
[5,8,4,7,2,3,1,6] => [2,2,2,2]
[6,8,4,7,2,3,1,5] => [2,2,2,2]
[7,8,4,6,2,3,1,5] => [2,2,2,2]
[7,8,3,6,2,4,1,5] => [2,2,2,2]
[6,8,3,7,2,4,1,5] => [2,2,2,2]
[5,8,3,7,2,4,1,6] => [2,2,2,2]
[4,8,3,7,2,5,1,6] => [2,2,2,2]
[4,7,3,8,2,5,1,6] => [2,2,2,2]
[4,7,3,5,2,8,1,6] => [2,2,2,2]
[4,7,3,5,2,6,1,8] => [2,2,2,2]
[4,5,3,7,2,6,1,8] => [2,2,2,2]
[4,5,3,7,2,8,1,6] => [2,2,2,2]
[4,5,3,8,2,7,1,6] => [2,2,2,2]
[4,8,3,5,2,7,1,6] => [2,2,2,2]
[5,8,3,4,2,7,1,6] => [2,2,2,2]
[6,8,3,4,2,7,1,5] => [2,2,2,2]
[7,8,3,4,2,6,1,5] => [2,2,2,2]
[6,8,3,4,2,5,1,7] => [2,2,2,2]
[5,8,3,4,2,6,1,7] => [2,2,2,2]
[4,8,3,5,2,6,1,7] => [2,2,2,2]
[4,5,3,8,2,6,1,7] => [2,2,2,2]
[4,5,3,6,2,8,1,7] => [2,2,2,2]
[4,7,5,2,1,8,3,6] => [2,1,1,2,2]
[4,8,5,2,1,7,6,3] => [2,1,1,2,1,1]
[4,6,5,2,1,3,8,7] => [2,1,1,3,1]
[5,6,4,2,3,1,8,7] => [2,1,2,2,1]
[6,4,5,3,1,2,8,7] => [1,2,1,3,1]
[5,4,6,1,3,2,8,7] => [1,2,2,2,1]
[4,6,8,1,7,3,2,5] => [3,2,1,2]
[4,7,8,1,6,3,5,2] => [3,2,2,1]
[7,4,8,1,6,5,3,2] => [1,2,2,1,1,1]
[5,4,8,1,3,7,6,2] => [1,2,3,1,1]
[8,4,5,3,1,7,6,2] => [1,2,1,2,1,1]
[5,4,7,1,3,8,2,6] => [1,2,3,2]
[6,4,8,1,7,5,2,3] => [1,2,2,1,2]
[5,6,8,7,2,1,3,4] => [3,1,1,3]
[8,5,7,6,4,2,1,3] => [1,2,1,1,1,2]
[8,4,6,3,7,2,1,5] => [1,2,2,1,2]
[6,3,2,8,7,4,1,5] => [1,1,2,1,1,2]
[2,1,6,8,7,4,3,5] => [1,3,1,1,2]
[2,1,7,8,6,4,5,3] => [1,3,1,2,1]
[7,3,2,8,6,4,5,1] => [1,1,2,1,2,1]
[7,6,8,5,2,4,3,1] => [1,2,1,2,1,1]
[5,7,8,6,2,3,1,4] => [3,1,2,2]
[5,8,7,6,3,2,1,4] => [2,1,1,1,1,2]
[6,8,7,5,3,2,4,1] => [2,1,1,1,2,1]
[5,8,4,2,3,7,6,1] => [2,1,3,1,1]
[7,8,4,2,6,5,3,1] => [2,1,2,1,1,1]
[4,8,7,2,6,3,5,1] => [2,1,2,2,1]
[4,8,6,2,7,3,1,5] => [2,1,2,1,2]
[3,6,1,8,7,4,2,5] => [2,2,1,1,2]
[3,7,1,8,6,4,5,2] => [2,2,1,2,1]
[3,8,1,6,7,5,2,4] => [2,3,1,2]
[3,7,1,6,8,2,5,4] => [2,3,2,1]
[4,7,6,2,8,1,3,5] => [2,1,2,3]
[6,7,4,2,8,1,5,3] => [2,1,2,2,1]
[6,8,4,2,7,5,1,3] => [2,1,2,1,2]
[2,1,8,6,7,5,3,4] => [1,2,2,1,2]
[8,3,2,6,7,5,1,4] => [1,1,3,1,2]
[8,6,4,3,7,5,1,2] => [1,1,1,2,1,2]
[5,8,6,7,3,1,2,4] => [2,2,1,3]
[6,7,5,8,1,3,4,2] => [2,2,3,1]
[7,6,5,8,1,4,3,2] => [1,1,2,2,1,1]
[8,6,5,7,4,1,3,2] => [1,1,2,1,2,1]
[7,6,4,3,8,1,5,2] => [1,1,1,2,2,1]
[7,3,2,6,8,1,5,4] => [1,1,3,2,1]
[2,1,7,6,8,3,5,4] => [1,2,2,2,1]
[7,5,6,8,1,4,2,3] => [1,3,2,2]
[6,5,7,8,1,2,4,3] => [1,3,3,1]
[8,1,3,7,4,6,5,2] => [1,3,2,1,1]
[5,2,8,7,4,6,1,3] => [1,2,1,2,2]
[1,6,2,5,4,7,3,8] => [2,2,2,2]
[6,2,7,5,4,8,3,1] => [1,2,1,2,1,1]
[8,1,3,5,4,7,6,2] => [1,3,2,1,1]
[6,1,5,4,3,8,7,2] => [1,2,1,2,1,1]
[6,1,8,3,4,5,7,2] => [1,2,4,1]
[7,1,5,3,4,8,6,2] => [1,2,3,1,1]
[7,1,4,3,5,6,8,2] => [1,2,4,1]
[8,1,3,4,5,6,7,2] => [1,6,1]
[1,7,2,4,5,6,3,8] => [2,4,2]
[6,3,2,7,5,1,8,4] => [1,1,2,1,2,1]
[8,4,7,2,5,6,1,3] => [1,2,3,2]
[6,5,8,2,4,7,3,1] => [1,2,3,1,1]
[8,5,2,1,4,3,7,6] => [1,1,1,2,2,1]
[6,5,2,8,4,1,3,7] => [1,1,2,1,3]
[5,6,2,1,4,8,3,7] => [2,1,3,2]
[3,6,1,8,5,2,4,7] => [2,2,1,3]
[1,2,6,3,5,4,7,8] => [3,2,3]
[3,4,1,2,8,6,5,7] => [2,3,1,2]
[4,3,1,2,6,8,5,7] => [1,1,4,2]
[5,8,1,6,3,2,4,7] => [2,2,1,3]
[6,3,8,5,2,1,4,7] => [1,2,1,1,3]
[8,3,1,5,2,4,7,6] => [1,1,2,3,1]
[3,8,2,6,1,5,7,4] => [2,2,3,1]
[3,8,6,7,2,1,5,4] => [2,2,1,2,1]
[8,5,6,4,2,1,7,3] => [1,2,1,1,2,1]
[7,2,5,8,3,1,6,4] => [1,3,1,2,1]
[1,7,5,6,3,2,4,8] => [2,2,1,3]
[6,1,2,3,8,5,7,4] => [1,4,2,1]
[7,1,2,3,6,5,8,4] => [1,4,2,1]
[7,2,1,3,8,6,4,5] => [1,1,3,1,2]
[1,5,7,3,2,4,6,8] => [3,1,4]
[5,2,7,3,1,8,4,6] => [1,2,1,2,2]
[5,8,2,4,1,3,7,6] => [2,2,3,1]
[8,7,2,6,3,4,1,5] => [1,1,2,2,2]
[4,8,1,6,3,2,7,5] => [2,2,1,2,1]
[3,1,8,6,4,2,7,5] => [1,2,1,1,2,1]
[8,1,6,7,4,3,2,5] => [1,3,1,1,2]
[3,5,8,7,2,4,1,6] => [3,1,2,2]
[4,2,1,3,7,8,5,6] => [1,1,4,2]
[2,4,1,3,8,7,5,6] => [2,3,1,2]
[2,5,8,3,1,7,4,6] => [3,1,2,2]
[8,6,1,3,7,2,4,5] => [1,1,3,3]
[2,8,1,3,6,4,7,5] => [2,3,2,1]
[6,8,2,3,4,1,5,7] => [2,3,3]
[5,1,8,3,2,4,6,7] => [1,2,1,4]
[1,4,2,7,8,6,3,5] => [2,3,1,2]
[1,6,2,4,8,5,3,7] => [2,3,1,2]
[1,6,2,4,7,5,3,8] => [2,3,1,2]
[1,7,3,8,5,2,4,6] => [2,2,1,3]
[1,7,3,2,8,6,4,5] => [2,1,2,1,2]
[4,2,5,7,8,6,1,3] => [1,4,1,2]
[7,2,3,1,8,5,6,4] => [1,2,2,2,1]
[8,2,5,1,7,3,4,6] => [1,2,2,3]
[6,2,1,8,3,4,7,5] => [1,1,2,3,1]
[6,2,8,3,5,1,7,4] => [1,2,2,2,1]
[6,2,4,8,5,7,1,3] => [1,3,2,2]
[1,3,6,4,8,5,7,2] => [3,2,2,1]
[1,3,6,4,7,5,8,2] => [3,2,2,1]
[6,2,4,7,5,8,1,3] => [1,3,2,2]
[6,2,1,3,7,8,4,5] => [1,1,4,2]
[7,8,2,1,4,3,5,6] => [2,1,2,3]
[7,6,4,2,3,1,8,5] => [1,1,1,2,2,1]
[5,7,2,3,1,6,8,4] => [2,2,3,1]
[7,5,4,2,6,8,1,3] => [1,1,1,3,2]
[1,7,5,3,4,6,8,2] => [2,1,4,1]
[8,2,5,4,6,7,1,3] => [1,2,3,2]
[5,2,6,3,1,8,7,4] => [1,2,1,2,1,1]
[8,2,6,4,3,1,7,5] => [1,2,1,1,2,1]
[8,2,7,4,1,3,5,6] => [1,2,1,4]
[1,2,8,4,3,5,6,7] => [3,1,4]
[1,7,4,2,3,5,6,8] => [2,1,5]
[6,8,4,1,3,2,5,7] => [2,1,2,3]
[1,8,7,4,3,2,5,6] => [2,1,1,1,3]
[1,6,3,8,2,4,7,5] => [2,2,3,1]
[5,3,8,1,2,7,4,6] => [1,2,3,2]
[5,1,8,3,2,6,4,7] => [1,2,1,2,2]
[5,7,3,1,2,6,4,8] => [2,1,3,2]
[1,7,5,4,2,6,3,8] => [2,1,1,2,2]
[1,5,8,2,4,6,3,7] => [3,3,2]
[1,5,8,4,2,7,3,6] => [3,1,2,2]
[1,4,6,2,8,3,7,5] => [3,2,2,1]
[5,3,1,6,7,2,4,8] => [1,1,3,3]
[5,3,6,1,2,8,4,7] => [1,2,3,2]
[1,6,3,2,7,8,4,5] => [2,1,3,2]
[1,7,4,5,3,8,6,2] => [2,2,2,1,1]
[6,3,4,1,2,5,8,7] => [1,2,4,1]
[6,3,1,4,2,7,5,8] => [1,1,2,2,2]
[1,8,3,2,4,5,6,7] => [2,1,5]
[8,6,3,2,4,1,7,5] => [1,1,1,2,2,1]
[8,5,3,2,6,7,1,4] => [1,1,1,3,2]
[4,5,2,6,8,1,7,3] => [2,3,2,1]
[4,2,5,6,7,8,1,3] => [1,5,2]
[5,2,3,6,7,1,8,4] => [1,4,2,1]
[6,2,3,4,1,7,8,5] => [1,3,3,1]
[7,2,3,1,4,5,8,6] => [1,2,4,1]
[8,6,1,4,3,2,5,7] => [1,1,2,1,3]
[8,3,1,6,5,2,4,7] => [1,1,2,1,3]
[3,7,5,1,8,2,4,6] => [2,1,2,3]
[4,1,5,2,8,7,3,6] => [1,2,2,1,2]
[8,1,2,4,6,5,3,7] => [1,4,1,2]
[8,1,2,5,4,6,3,7] => [1,3,2,2]
[8,2,6,5,1,3,4,7] => [1,2,1,4]
[8,3,1,6,2,5,4,7] => [1,1,2,2,2]
[8,1,2,6,4,5,3,7] => [1,3,2,2]
[8,1,2,5,6,4,3,7] => [1,4,1,2]
[8,1,2,6,5,4,3,7] => [1,3,1,1,2]
[1,7,5,4,2,8,3,6] => [2,1,1,2,2]
[5,1,4,8,2,7,3,6] => [1,3,2,2]
[1,4,6,8,2,7,3,5] => [4,2,2]
[1,4,7,6,2,8,3,5] => [3,1,2,2]
[5,1,4,7,2,8,3,6] => [1,3,2,2]
[1,7,4,5,2,8,3,6] => [2,2,2,2]
[3,7,5,1,2,8,4,6] => [2,1,3,2]
[5,7,2,8,1,3,4,6] => [2,2,4]
[5,2,8,7,1,3,4,6] => [1,2,1,4]
[4,1,5,8,2,7,3,6] => [1,3,2,2]
[1,4,6,2,8,7,3,5] => [3,2,1,2]
[1,4,2,8,6,7,3,5] => [2,2,2,2]
[3,1,2,6,4,8,7,5] => [1,3,2,1,1]
[2,1,7,6,3,4,8,5] => [1,2,1,3,1]
[3,1,2,7,4,6,8,5] => [1,3,3,1]
[1,4,7,2,6,8,3,5] => [3,3,2]
[1,2,3,6,8,5,7,4] => [5,2,1]
[5,1,4,2,7,8,3,6] => [1,2,3,2]
[1,4,2,7,6,8,3,5] => [2,2,2,2]
[1,4,2,6,8,7,3,5] => [2,3,1,2]
[3,1,2,8,4,6,7,5] => [1,3,3,1]
[3,1,2,7,6,4,8,5] => [1,3,1,2,1]
[5,3,7,1,8,2,4,6] => [1,2,2,3]
[1,7,4,3,2,5,8,6] => [2,1,1,3,1]
[4,8,7,2,1,3,5,6] => [2,1,1,4]
[1,8,7,3,4,2,5,6] => [2,1,2,3]
[3,1,7,8,2,6,4,5] => [1,3,2,2]
[1,4,2,7,8,3,6,5] => [2,3,2,1]
[5,2,8,1,3,4,7,6] => [1,2,4,1]
[2,1,8,6,3,4,7,5] => [1,2,1,3,1]
[1,4,2,6,8,3,7,5] => [2,3,2,1]
[1,2,3,7,8,5,6,4] => [5,2,1]
[1,2,3,7,5,8,6,4] => [4,2,1,1]
[1,4,2,7,3,8,6,5] => [2,2,2,1,1]
[3,1,7,2,8,6,4,5] => [1,2,2,1,2]
[2,1,7,8,3,4,6,5] => [1,3,3,1]
[1,2,3,8,7,5,6,4] => [4,1,2,1]
[4,7,8,5,6,2,1,3] => [3,2,1,2]
[5,7,8,4,2,6,1,3] => [3,1,2,2]
[6,7,8,4,2,5,1,3] => [3,1,2,2]
[8,6,3,7,2,1,5,4] => [1,1,2,1,2,1]
[7,6,3,8,2,1,5,4] => [1,1,2,1,2,1]
[6,7,8,3,2,1,5,4] => [3,1,1,2,1]
[5,7,8,3,2,1,6,4] => [3,1,1,2,1]
[2,7,8,4,3,5,6,1] => [3,1,3,1]
[3,7,8,4,2,5,1,6] => [3,1,2,2]
[4,7,8,3,2,1,5,6] => [3,1,1,3]
[5,7,8,3,2,1,4,6] => [3,1,1,3]
[7,6,3,8,2,1,4,5] => [1,1,2,1,3]
[8,6,3,7,2,1,4,5] => [1,1,2,1,3]
[5,6,3,8,2,1,4,7] => [2,2,1,3]
[3,6,4,8,2,5,1,7] => [2,2,2,2]
[2,6,4,8,3,5,7,1] => [2,2,3,1]
[2,6,4,7,3,5,8,1] => [2,2,3,1]
[3,6,4,7,2,5,1,8] => [2,2,2,2]
[4,6,3,7,2,1,5,8] => [2,2,1,3]
[5,6,3,7,2,1,4,8] => [2,2,1,3]
[8,4,3,2,1,6,5,7] => [1,1,1,1,2,2]
[6,4,3,2,1,7,5,8] => [1,1,1,1,2,2]
[4,5,3,2,7,1,6,8] => [2,1,2,3]
[3,5,4,2,8,6,1,7] => [2,1,2,1,2]
[6,4,3,2,1,8,5,7] => [1,1,1,1,2,2]
[7,4,3,2,1,8,5,6] => [1,1,1,1,2,2]
[8,4,3,2,1,7,5,6] => [1,1,1,1,2,2]
[8,4,3,2,1,7,6,5] => [1,1,1,1,2,1,1]
[7,4,3,2,1,8,6,5] => [1,1,1,1,2,1,1]
[6,4,3,2,1,8,7,5] => [1,1,1,1,2,1,1]
[5,6,3,8,2,1,7,4] => [2,2,1,2,1]
[7,5,3,2,8,1,6,4] => [1,1,1,2,2,1]
[8,5,4,2,7,6,1,3] => [1,1,1,2,1,2]
[7,5,4,2,8,6,1,3] => [1,1,1,2,1,2]
[6,5,4,2,8,7,1,3] => [1,1,1,2,1,2]
[4,6,5,8,7,2,1,3] => [2,2,1,1,2]
[2,6,5,7,8,3,4,1] => [2,3,2,1]
[6,5,4,2,7,8,1,3] => [1,1,1,3,2]
[8,5,4,2,6,7,1,3] => [1,1,1,3,2]
[8,5,3,2,6,1,7,4] => [1,1,1,2,2,1]
[7,5,3,2,6,1,8,4] => [1,1,1,2,2,1]
[5,6,3,7,2,1,8,4] => [2,2,1,2,1]
[4,6,3,7,2,1,8,5] => [2,2,1,2,1]
[3,6,4,7,2,8,1,5] => [2,2,2,2]
[2,6,4,7,3,8,5,1] => [2,2,2,1,1]
[3,5,4,2,7,8,1,6] => [2,1,3,2]
[4,5,3,2,7,1,8,6] => [2,1,2,2,1]
[7,4,3,2,1,6,8,5] => [1,1,1,1,3,1]
[8,4,3,2,1,6,7,5] => [1,1,1,1,3,1]
[8,4,3,2,1,5,7,6] => [1,1,1,1,3,1]
[7,4,3,2,1,5,8,6] => [1,1,1,1,3,1]
[6,4,3,2,1,5,8,7] => [1,1,1,1,3,1]
[3,5,4,2,6,8,1,7] => [2,1,3,2]
[5,6,3,4,1,2,8,7] => [2,2,3,1]
[8,5,3,7,2,6,4,1] => [1,1,2,2,1,1]
[8,5,7,4,2,6,3,1] => [1,2,1,2,1,1]
[7,5,8,4,2,6,1,3] => [1,2,1,2,2]
[2,1,7,8,5,6,3,4] => [1,3,2,2]
[6,8,3,7,5,1,4,2] => [2,2,1,2,1]
[5,7,3,8,1,6,2,4] => [2,2,2,2]
[3,2,6,4,8,5,1,7] => [1,2,2,1,2]
[3,2,5,8,4,6,1,7] => [1,3,2,2]
[3,5,2,4,1,7,6,8] => [2,2,2,2]
[4,2,1,5,7,3,6,8] => [1,1,3,3]
[4,2,5,3,8,1,6,7] => [1,2,2,3]
[4,2,5,8,3,1,6,7] => [1,3,1,3]
[3,1,5,4,2,8,6,7] => [1,2,1,2,2]
[4,1,5,3,8,2,6,7] => [1,2,2,3]
[4,1,5,8,3,2,6,7] => [1,3,1,3]
[4,3,8,5,2,1,6,7] => [1,2,1,1,3]
[4,7,3,5,2,1,6,8] => [2,2,1,3]
[4,3,2,7,5,1,6,8] => [1,1,2,1,3]
[4,3,6,2,5,1,7,8] => [1,2,2,3]
[4,6,3,2,5,1,7,8] => [2,1,2,3]
[4,5,1,7,3,2,6,8] => [2,2,1,3]
[3,5,1,4,2,7,6,8] => [2,2,2,2]
[2,5,1,4,3,7,8,6] => [2,2,3,1]
[5,2,1,4,3,7,8,6] => [1,1,2,3,1]
[5,3,1,4,2,7,6,8] => [1,1,2,2,2]
[4,3,1,5,7,2,6,8] => [1,1,3,3]
[4,3,1,7,5,2,6,8] => [1,1,2,1,3]
[4,3,6,1,5,2,7,8] => [1,2,2,3]
[4,6,3,1,5,2,7,8] => [2,1,2,3]
[5,3,6,4,1,2,7,8] => [1,2,1,4]
[4,3,6,1,7,2,5,8] => [1,2,2,3]
[6,2,4,1,3,7,8,5] => [1,2,4,1]
[3,6,4,1,2,7,5,8] => [2,1,3,2]
[4,6,3,1,7,2,5,8] => [2,1,2,3]
[5,3,6,2,1,4,7,8] => [1,2,1,4]
[5,6,2,7,1,3,4,8] => [2,2,4]
[4,5,2,7,3,1,6,8] => [2,2,1,3]
[4,6,7,2,3,1,5,8] => [3,2,3]
[4,6,2,1,7,3,5,8] => [2,1,2,3]
[3,2,6,1,4,7,5,8] => [1,2,3,2]
[3,5,2,7,4,6,1,8] => [2,2,2,2]
[3,7,2,4,8,5,1,6] => [2,3,1,2]
[7,2,1,4,6,3,8,5] => [1,1,3,2,1]
[7,3,1,4,6,8,2,5] => [1,1,4,2]
[3,2,6,1,5,7,4,8] => [1,2,3,2]
[6,3,2,1,5,7,4,8] => [1,1,1,3,2]
[6,4,2,1,5,3,7,8] => [1,1,1,2,3]
[4,2,6,1,5,3,7,8] => [1,2,2,3]
[4,2,1,7,5,3,6,8] => [1,1,2,1,3]
[7,4,1,5,6,2,3,8] => [1,1,3,3]
[7,3,1,5,2,6,4,8] => [1,1,2,2,2]
[7,2,1,5,3,6,8,4] => [1,1,2,3,1]
[6,2,5,1,3,7,8,4] => [1,2,4,1]
[6,3,5,1,2,7,4,8] => [1,2,3,2]
[6,4,5,1,7,2,3,8] => [1,2,2,3]
[5,2,6,4,1,3,7,8] => [1,2,1,4]
[3,6,5,1,2,7,4,8] => [2,1,3,2]
[6,5,2,1,4,7,8,3] => [1,1,1,4,1]
[6,5,3,1,4,7,2,8] => [1,1,1,3,2]
[2,3,1,8,5,4,7,6] => [2,2,1,2,1]
[2,4,1,5,8,3,7,6] => [2,3,2,1]
[2,4,1,5,3,8,7,6] => [2,2,2,1,1]
[3,4,5,1,2,8,7,6] => [3,3,1,1]
[3,4,5,1,8,2,7,6] => [3,2,2,1]
[1,8,4,5,3,2,7,6] => [2,2,1,2,1]
[2,4,8,5,3,1,7,6] => [3,1,1,2,1]
[3,4,5,8,2,1,7,6] => [4,1,2,1]
[3,4,5,2,8,1,7,6] => [3,2,2,1]
[3,4,6,2,1,7,8,5] => [3,1,3,1]
[3,4,6,2,1,7,5,8] => [3,1,2,2]
[3,5,6,2,7,1,4,8] => [3,2,3]
[3,5,6,2,7,1,8,4] => [3,2,2,1]
[3,5,6,2,7,8,1,4] => [3,3,2]
[3,4,6,2,8,7,1,5] => [3,2,1,2]
[3,4,6,8,2,7,1,5] => [4,2,2]
[2,4,8,6,3,7,1,5] => [3,1,2,2]
[1,8,4,6,3,7,2,5] => [2,2,2,2]
[1,8,4,6,3,7,5,2] => [2,2,2,1,1]
[3,4,6,8,2,7,5,1] => [4,2,1,1]
[3,4,6,2,8,7,5,1] => [3,2,1,1,1]
[3,5,6,2,7,8,4,1] => [3,3,1,1]
[3,5,6,2,7,4,1,8] => [3,2,1,2]
[4,5,6,7,2,8,3,1] => [4,2,1,1]
[3,5,6,8,7,2,4,1] => [4,1,2,1]
[2,5,8,6,7,3,4,1] => [3,2,2,1]
[1,8,5,6,7,3,4,2] => [2,3,2,1]
[1,8,5,6,7,3,2,4] => [2,3,1,2]
[2,5,8,6,7,3,1,4] => [3,2,1,2]
[3,5,6,8,7,2,1,4] => [4,1,1,2]
[4,5,6,7,2,1,8,3] => [4,1,2,1]
[3,4,6,1,8,7,2,5] => [3,2,1,2]
[2,4,1,6,8,7,3,5] => [2,3,1,2]
[2,3,1,8,6,7,4,5] => [2,2,2,2]
[1,8,3,2,6,7,5,4] => [2,1,3,1,1]
[2,5,1,6,7,8,4,3] => [2,4,1,1]
[2,5,1,6,7,4,8,3] => [2,3,2,1]
[2,5,1,6,7,4,3,8] => [2,3,1,2]
[3,5,6,1,7,4,2,8] => [3,2,1,2]
[3,5,6,1,7,4,8,2] => [3,2,2,1]
[3,4,6,1,8,7,5,2] => [3,2,1,1,1]
[3,4,6,8,1,7,5,2] => [4,2,1,1]
[2,4,8,6,1,7,5,3] => [3,1,2,1,1]
[1,8,4,6,2,7,5,3] => [2,2,2,1,1]
[1,8,5,6,7,2,4,3] => [2,3,2,1]
[2,5,8,6,7,1,4,3] => [3,2,2,1]
[3,5,6,8,7,1,4,2] => [4,1,2,1]
[4,5,6,7,8,1,3,2] => [5,2,1]
[4,5,6,7,1,3,8,2] => [4,3,1]
[4,5,6,7,1,3,2,8] => [4,2,2]
[4,5,6,7,3,1,8,2] => [4,1,2,1]
[3,5,6,8,7,4,1,2] => [4,1,1,2]
[2,5,8,6,7,4,1,3] => [3,2,1,2]
[1,8,5,6,7,4,2,3] => [2,3,1,2]
[1,8,5,6,7,4,3,2] => [2,3,1,1,1]
[2,5,8,6,7,4,3,1] => [3,2,1,1,1]
[8,2,5,3,7,1,6,4] => [1,2,2,2,1]
[8,2,4,3,7,1,6,5] => [1,2,2,2,1]
[5,8,2,4,3,7,1,6] => [2,2,2,2]
[4,2,5,6,1,8,3,7] => [1,3,2,2]
[4,2,5,6,1,7,3,8] => [1,3,2,2]
[6,1,5,7,3,2,4,8] => [1,3,1,3]
[6,1,5,8,3,2,4,7] => [1,3,1,3]
[3,8,2,4,7,1,5,6] => [2,3,3]
[3,6,8,2,4,7,1,5] => [3,3,2]
[4,3,5,6,7,1,8,2] => [1,4,2,1]
[3,7,1,5,6,8,2,4] => [2,4,2]
[3,7,1,5,8,2,4,6] => [2,3,3]
[8,3,2,4,6,1,5,7] => [1,1,3,3]
[7,3,2,4,6,1,5,8] => [1,1,3,3]
[3,2,5,1,7,4,6,8] => [1,2,2,3]
[3,2,5,1,8,4,6,7] => [1,2,2,3]
[3,2,5,1,7,8,4,6] => [1,2,3,2]
[7,8,3,2,4,6,1,5] => [2,1,3,2]
[6,1,5,7,8,3,2,4] => [1,4,1,2]
[4,2,5,6,1,7,8,3] => [1,3,3,1]
[5,7,6,1,8,3,4,2] => [2,1,2,2,1]
[5,8,6,1,7,3,4,2] => [2,1,2,2,1]
[6,1,5,8,7,3,2,4] => [1,3,1,1,2]
[8,7,3,2,4,6,1,5] => [1,1,1,3,2]
[3,2,5,1,8,7,4,6] => [1,2,2,1,2]
[3,2,5,1,6,4,7,8] => [1,2,2,3]
[3,2,4,1,8,7,5,6] => [1,2,2,1,2]
[3,2,5,1,6,8,7,4] => [1,2,3,1,1]
[3,8,6,5,1,7,4,2] => [2,1,1,2,1,1]
[3,7,6,5,1,8,4,2] => [2,1,1,2,1,1]
[6,5,1,7,8,4,2,3] => [1,1,3,1,2]
[3,2,5,1,6,7,8,4] => [1,2,4,1]
[3,2,4,1,8,5,6,7] => [1,2,2,3]
[3,2,4,1,7,5,6,8] => [1,2,2,3]
[3,2,4,1,6,8,5,7] => [1,2,3,2]
[3,2,4,1,8,5,7,6] => [1,2,2,2,1]
[8,3,2,4,7,6,1,5] => [1,1,3,1,2]
[3,2,5,1,8,4,7,6] => [1,2,2,2,1]
[3,2,5,1,6,7,4,8] => [1,2,3,2]
[6,5,1,7,4,2,3,8] => [1,1,2,1,3]
[6,5,1,8,4,2,3,7] => [1,1,2,1,3]
[8,4,2,3,7,5,1,6] => [1,1,3,1,2]
[4,2,6,1,8,3,7,5] => [1,2,2,2,1]
[5,2,6,1,8,3,7,4] => [1,2,2,2,1]
[8,4,6,1,7,3,5,2] => [1,2,2,2,1]
[5,2,6,1,8,4,7,3] => [1,2,2,2,1]
[7,4,2,3,8,5,1,6] => [1,1,3,1,2]
[8,5,1,6,4,2,3,7] => [1,1,2,1,3]
[7,5,1,6,4,2,3,8] => [1,1,2,1,3]
[3,2,5,1,7,6,4,8] => [1,2,2,1,2]
[3,2,5,1,8,6,4,7] => [1,2,2,1,2]
[7,3,2,4,8,6,1,5] => [1,1,3,1,2]
[8,6,1,5,7,3,2,4] => [1,1,3,1,2]
[4,2,6,1,8,5,7,3] => [1,2,2,2,1]
[8,5,6,1,7,3,4,2] => [1,2,2,2,1]
[3,6,8,5,1,7,4,2] => [3,1,2,1,1]
[8,5,1,6,7,4,2,3] => [1,1,3,1,2]
[3,2,5,1,8,6,7,4] => [1,2,2,2,1]
[3,2,4,1,8,6,5,7] => [1,2,2,1,2]
[3,2,4,1,5,8,6,7] => [1,2,3,2]
[3,2,5,1,7,8,6,4] => [1,2,3,1,1]
[7,8,5,1,6,4,2,3] => [2,1,2,1,2]
[3,8,5,1,7,6,4,2] => [2,1,2,1,1,1]
[3,7,5,1,8,6,4,2] => [2,1,2,1,1,1]
[8,7,5,1,6,4,2,3] => [1,1,1,2,1,2]
[3,2,5,1,8,7,6,4] => [1,2,2,1,1,1]
[6,5,7,3,1,8,4,2] => [1,2,1,2,1,1]
[4,6,3,7,1,8,5,2] => [2,2,2,1,1]
[4,6,3,7,5,1,8,2] => [2,2,1,2,1]
[4,2,6,1,7,5,3,8] => [1,2,2,1,2]
[2,5,7,4,1,6,3,8] => [3,1,2,2]
[2,5,7,4,1,6,8,3] => [3,1,3,1]
[5,4,7,3,6,1,8,2] => [1,2,2,2,1]
[5,4,7,8,3,1,6,2] => [1,3,1,2,1]
[4,3,7,5,1,8,6,2] => [1,2,1,2,1,1]
[6,4,3,8,5,1,7,2] => [1,1,2,1,2,1]
[5,8,4,3,6,1,7,2] => [2,1,2,2,1]
[5,4,8,3,6,1,7,2] => [1,2,2,2,1]
[5,4,3,6,7,1,8,2] => [1,1,3,2,1]
[2,5,4,6,1,7,3,8] => [2,2,2,2]
[3,2,5,8,1,6,7,4] => [1,3,3,1]
[2,5,4,6,8,1,7,3] => [2,3,2,1]
[5,2,8,4,1,6,7,3] => [1,2,1,3,1]
[4,6,2,1,8,5,7,3] => [2,1,2,2,1]
[2,4,1,7,5,8,6,3] => [2,2,2,1,1]
[2,4,1,7,5,3,8,6] => [2,2,1,2,1]
[2,6,4,1,8,5,3,7] => [2,1,2,1,2]
[5,4,8,2,1,6,3,7] => [1,2,1,2,2]
[2,5,8,4,1,6,3,7] => [3,1,2,2]
[3,2,5,6,1,8,4,7] => [1,3,2,2]
[4,8,3,2,6,1,5,7] => [2,1,2,3]
[3,5,2,8,1,6,4,7] => [2,2,2,2]
[3,2,1,6,8,5,4,7] => [1,1,3,1,2]
[3,2,7,1,5,4,8,6] => [1,2,2,2,1]
[3,2,7,1,5,8,6,4] => [1,2,3,1,1]
[3,8,2,5,1,6,7,4] => [2,2,3,1]
[4,8,3,2,6,7,1,5] => [2,1,3,2]
[4,3,8,2,6,7,1,5] => [1,2,3,2]
[4,3,2,6,7,8,1,5] => [1,1,4,2]
[4,3,2,6,7,1,5,8] => [1,1,3,3]
[4,3,7,2,6,8,1,5] => [1,2,3,2]
[4,3,7,8,2,6,1,5] => [1,3,2,2]
[2,5,7,4,8,1,6,3] => [3,2,2,1]
[3,2,5,7,8,1,6,4] => [1,4,2,1]
[3,2,5,7,1,6,8,4] => [1,3,3,1]
[3,2,5,7,1,6,4,8] => [1,3,2,2]
[6,3,2,7,1,5,4,8] => [1,1,2,2,2]
[6,3,2,7,1,5,8,4] => [1,1,2,3,1]
[6,3,2,7,8,1,5,4] => [1,1,3,2,1]
[4,2,6,1,7,8,5,3] => [1,2,3,1,1]
[6,5,2,1,7,8,4,3] => [1,1,1,3,1,1]
[2,1,7,5,3,8,6,4] => [1,2,1,2,1,1]
[6,2,1,8,5,3,7,4] => [1,1,2,1,2,1]
[6,3,2,7,1,4,8,5] => [1,1,2,3,1]
[6,3,2,1,4,7,8,5] => [1,1,1,4,1]
[6,3,2,1,4,7,5,8] => [1,1,1,3,2]
[3,5,2,1,7,4,6,8] => [2,1,2,3]
[3,5,2,1,7,8,4,6] => [2,1,3,2]
[5,8,4,2,1,7,3,6] => [2,1,1,2,2]
[4,6,2,1,8,3,7,5] => [2,1,2,2,1]
[2,4,1,7,3,8,6,5] => [2,2,2,1,1]
[3,2,7,1,4,8,6,5] => [1,2,3,1,1]
[3,5,8,2,1,7,4,6] => [3,1,2,2]
[4,8,3,7,2,1,5,6] => [2,2,1,3]
[4,3,7,2,8,1,5,6] => [1,2,2,3]
[4,3,7,2,1,5,6,8] => [1,2,1,4]
[4,8,3,2,7,1,5,6] => [2,1,2,3]
[3,5,2,8,1,7,4,6] => [2,2,2,2]
[6,3,2,8,1,4,7,5] => [1,1,2,3,1]
[3,2,1,4,7,5,8,6] => [1,1,3,2,1]
[5,3,2,1,8,4,6,7] => [1,1,1,2,3]
[4,8,3,2,1,5,6,7] => [2,1,1,4]
[4,3,8,2,1,5,6,7] => [1,2,1,4]
[6,2,3,1,5,4,8,7] => [1,2,2,2,1]
[8,4,5,2,3,1,7,6] => [1,2,2,2,1]
[8,6,7,2,5,3,4,1] => [1,2,2,2,1]
[8,2,5,3,4,1,7,6] => [1,2,2,2,1]
[6,2,5,3,4,1,8,7] => [1,2,2,2,1]
[6,1,5,2,4,3,8,7] => [1,2,2,2,1]
[6,4,5,1,3,2,8,7] => [1,2,2,2,1]
[6,1,5,3,4,2,8,7] => [1,2,2,2,1]
[6,3,5,1,4,2,8,7] => [1,2,2,2,1]
[8,3,5,2,4,1,7,6] => [1,2,2,2,1]
[8,3,7,5,6,2,4,1] => [1,2,2,2,1]
[8,3,7,2,4,1,6,5] => [1,2,2,2,1]
[8,3,5,1,4,2,7,6] => [1,2,2,2,1]
[8,1,5,3,4,2,7,6] => [1,2,2,2,1]
[8,4,5,1,3,2,7,6] => [1,2,2,2,1]
[2,1,8,4,5,3,7,6] => [1,2,2,2,1]
[8,6,7,4,5,1,3,2] => [1,2,2,2,1]
[8,6,7,1,5,3,4,2] => [1,2,2,2,1]
[8,6,7,3,5,1,4,2] => [1,2,2,2,1]
[8,3,7,5,6,1,4,2] => [1,2,2,2,1]
[8,5,7,3,6,1,4,2] => [1,2,2,2,1]
[8,3,7,4,6,2,5,1] => [1,2,2,2,1]
[8,3,7,4,6,1,5,2] => [1,2,2,2,1]
[8,3,7,1,6,4,5,2] => [1,2,2,2,1]
[8,1,7,3,6,4,5,2] => [1,2,2,2,1]
[8,1,7,5,6,3,4,2] => [1,2,2,2,1]
[8,4,7,5,6,1,3,2] => [1,2,2,2,1]
[2,1,8,4,7,5,6,3] => [1,2,2,2,1]
[8,1,7,3,4,2,6,5] => [1,2,2,2,1]
[8,1,7,3,6,2,5,4] => [1,2,2,2,1]
[8,3,7,1,6,2,5,4] => [1,2,2,2,1]
[8,3,7,2,6,4,5,1] => [1,2,2,2,1]
[8,2,7,3,6,4,5,1] => [1,2,2,2,1]
[8,2,7,3,6,1,5,4] => [1,2,2,2,1]
[8,2,7,1,6,3,5,4] => [1,2,2,2,1]
[8,1,7,2,4,3,6,5] => [1,2,2,2,1]
[8,1,3,2,7,4,6,5] => [1,2,2,2,1]
[2,1,8,3,7,4,6,5] => [1,2,2,2,1]
[8,1,5,2,4,3,7,6] => [1,2,2,2,1]
[8,2,7,1,4,3,6,5] => [1,2,2,2,1]
[8,2,7,3,4,1,6,5] => [1,2,2,2,1]
[8,2,7,5,6,3,4,1] => [1,2,2,2,1]
[8,4,7,5,6,2,3,1] => [1,2,2,2,1]
[8,4,7,2,3,1,6,5] => [1,2,2,2,1]
[8,2,3,1,7,4,6,5] => [1,2,2,2,1]
[8,2,3,1,5,4,7,6] => [1,2,2,2,1]
[4,2,3,1,8,5,7,6] => [1,2,2,2,1]
[4,1,3,2,8,6,7,5] => [1,2,2,2,1]
[8,6,7,2,3,1,5,4] => [1,2,2,2,1]
[8,2,3,1,7,5,6,4] => [1,2,2,2,1]
[8,5,7,2,6,3,4,1] => [1,2,2,2,1]
[8,5,7,2,6,1,4,3] => [1,2,2,2,1]
[8,2,7,5,6,1,4,3] => [1,2,2,2,1]
[8,6,7,2,5,1,4,3] => [1,2,2,2,1]
[8,6,7,1,5,2,4,3] => [1,2,2,2,1]
[8,6,7,1,3,2,5,4] => [1,2,2,2,1]
[2,1,8,6,7,3,5,4] => [1,2,2,2,1]
[2,1,8,3,7,5,6,4] => [1,2,2,2,1]
[8,1,3,2,7,5,6,4] => [1,2,2,2,1]
[8,1,7,5,6,2,4,3] => [1,2,2,2,1]
[8,1,7,2,6,4,5,3] => [1,2,2,2,1]
[8,2,7,1,6,4,5,3] => [1,2,2,2,1]
[8,2,7,4,6,1,5,3] => [1,2,2,2,1]
[8,2,7,4,6,3,5,1] => [1,2,2,2,1]
[8,4,7,2,6,3,5,1] => [1,2,2,2,1]
[8,4,7,2,6,1,5,3] => [1,2,2,2,1]
[8,4,7,1,6,2,5,3] => [1,2,2,2,1]
[8,1,7,4,6,2,5,3] => [1,2,2,2,1]
[8,5,7,1,6,2,4,3] => [1,2,2,2,1]
[2,1,8,5,7,3,6,4] => [1,2,2,2,1]
[8,5,7,4,6,1,3,2] => [1,2,2,2,1]
[8,5,7,1,6,3,4,2] => [1,2,2,2,1]
[8,1,7,4,6,3,5,2] => [1,2,2,2,1]
[8,4,7,1,6,3,5,2] => [1,2,2,2,1]
[8,4,7,3,6,1,5,2] => [1,2,2,2,1]
[2,4,8,3,6,1,7,5] => [3,2,2,1]
[6,5,8,1,3,2,7,4] => [1,2,2,2,1]
[4,5,8,6,3,2,7,1] => [3,1,1,2,1]
[6,5,8,7,3,1,2,4] => [1,2,1,1,3]
[1,5,8,7,3,6,2,4] => [3,1,2,2]
[1,7,2,8,4,6,5,3] => [2,2,2,1,1]
[6,7,2,8,4,1,5,3] => [2,2,1,2,1]
[3,6,2,8,4,5,7,1] => [2,2,3,1]
[2,6,1,8,4,5,7,3] => [2,2,3,1]
[2,8,4,6,1,5,7,3] => [2,2,3,1]
[6,3,1,8,4,5,7,2] => [1,1,2,3,1]
[3,1,6,8,4,5,7,2] => [1,3,3,1]
[2,3,6,8,4,5,7,1] => [4,3,1]
[6,3,7,8,4,1,5,2] => [1,3,1,2,1]
[1,3,7,8,4,6,5,2] => [4,2,1,1]
[1,5,7,8,2,4,6,3] => [4,3,1]
[5,1,7,8,2,4,6,3] => [1,3,3,1]
[3,6,7,8,4,2,5,1] => [4,1,2,1]
[7,6,1,8,4,2,5,3] => [1,1,2,1,2,1]
[5,6,8,7,3,2,1,4] => [3,1,1,1,2]
[2,8,3,7,1,6,5,4] => [2,2,2,1,1]
[5,2,8,7,3,6,1,4] => [1,2,1,2,2]
[7,2,1,8,4,6,5,3] => [1,1,2,2,1,1]
[3,2,7,8,4,6,5,1] => [1,3,2,1,1]
[5,2,7,8,1,4,6,3] => [1,3,3,1]
[1,2,7,8,5,4,6,3] => [4,1,2,1]
[4,2,1,3,8,5,6,7] => [1,1,3,3]
[7,2,5,8,3,4,6,1] => [1,3,3,1]
[6,2,8,5,4,3,1,7] => [1,2,1,1,1,2]
[2,8,3,5,4,1,6,7] => [2,2,1,3]
[2,8,4,5,3,1,6,7] => [2,2,1,3]
[6,4,8,5,2,3,1,7] => [1,2,1,2,2]
[7,3,5,8,2,4,6,1] => [1,3,3,1]
[4,3,1,2,8,5,6,7] => [1,1,3,3]
[3,4,2,1,8,5,6,7] => [2,1,2,3]
[2,7,6,8,4,3,5,1] => [2,2,1,2,1]
[5,7,1,8,3,4,6,2] => [2,2,3,1]
[3,7,5,8,1,4,6,2] => [2,2,3,1]
[1,7,5,8,3,4,6,2] => [2,2,3,1]
[1,6,8,5,4,3,2,7] => [3,1,1,1,2]
[4,6,8,5,1,3,2,7] => [3,1,2,2]
[5,6,8,1,4,3,2,7] => [3,2,1,2]
[7,5,8,6,3,4,2,1] => [1,2,1,2,1,1]
[2,4,8,3,6,5,1,7] => [3,2,1,2]
[2,8,4,1,5,6,3,7] => [2,1,3,2]
[4,1,8,3,5,6,2,7] => [1,2,3,2]
[5,6,8,4,1,3,2,7] => [3,1,2,2]
[4,6,8,1,5,3,2,7] => [3,2,1,2]
[1,6,8,4,5,3,2,7] => [3,2,1,2]
[1,7,3,8,5,4,6,2] => [2,2,1,2,1]
[3,7,1,8,5,4,6,2] => [2,2,1,2,1]
[2,7,3,8,4,6,5,1] => [2,2,2,1,1]
[7,1,3,8,4,6,5,2] => [1,3,2,1,1]
[5,7,8,4,3,6,1,2] => [3,1,2,2]
[2,8,7,4,1,6,5,3] => [2,1,1,2,1,1]
[2,8,5,4,3,1,6,7] => [2,1,1,1,3]
[6,5,8,4,2,3,1,7] => [1,2,1,2,2]
[4,1,3,2,8,5,6,7] => [1,2,2,3]
[1,4,3,2,8,5,6,7] => [2,1,2,3]
[7,3,2,8,5,4,6,1] => [1,1,2,1,2,1]
[6,4,8,2,5,3,1,7] => [1,2,2,1,2]
[2,8,4,3,5,1,6,7] => [2,1,2,3]
[2,8,3,4,5,1,6,7] => [2,3,3]
[6,2,8,4,5,3,1,7] => [1,2,2,1,2]
[7,2,3,8,5,4,6,1] => [1,3,1,2,1]
[4,2,3,1,8,5,6,7] => [1,2,2,3]
[3,2,1,4,8,5,6,7] => [1,1,3,3]
[5,1,3,2,4,8,6,7] => [1,2,3,2]
[2,8,1,5,3,4,7,6] => [2,2,3,1]
[1,2,8,4,5,3,7,6] => [3,2,2,1]
[1,4,2,8,5,3,6,7] => [2,2,1,3]
[1,8,4,2,5,3,6,7] => [2,1,2,3]
[8,1,5,3,2,4,6,7] => [1,2,1,4]
[3,8,1,5,2,4,6,7] => [2,2,4]
[3,5,1,4,8,2,6,7] => [2,3,3]
[1,5,2,8,4,3,6,7] => [2,2,1,3]
[1,2,8,5,4,3,6,7] => [3,1,1,3]
[1,2,5,4,3,8,6,7] => [3,1,2,2]
[1,2,4,8,5,3,7,6] => [4,1,2,1]
[1,2,7,4,8,5,3,6] => [3,2,1,2]
[1,5,2,7,8,4,3,6] => [2,3,1,2]
[5,1,2,7,4,8,3,6] => [1,3,2,2]
[8,3,5,1,4,7,2,6] => [1,2,3,2]
[2,8,1,5,4,7,3,6] => [2,2,2,2]
[1,2,8,5,7,4,3,6] => [3,2,1,2]
[1,2,4,8,7,5,3,6] => [4,1,1,2]
[2,8,1,4,3,7,6,5] => [2,2,2,1,1]
[6,1,2,8,7,4,3,5] => [1,3,1,1,2]
[6,4,1,2,8,7,3,5] => [1,1,3,1,2]
[3,6,4,8,1,7,2,5] => [2,2,2,2]
[7,6,1,4,2,8,3,5] => [1,1,2,2,2]
[7,1,6,2,8,4,3,5] => [1,2,2,1,2]
[1,6,7,2,8,4,3,5] => [3,2,1,2]
[6,7,1,4,2,8,3,5] => [2,2,2,2]
[6,3,7,1,4,8,2,5] => [1,2,3,2]
[3,7,8,1,5,2,4,6] => [3,2,3]
[7,1,2,8,5,3,4,6] => [1,3,1,3]
[1,7,2,8,4,5,3,6] => [2,2,2,2]
[1,4,2,7,8,5,3,6] => [2,3,1,2]
[6,1,2,8,4,3,7,5] => [1,3,1,2,1]
[6,4,1,2,8,3,7,5] => [1,1,3,2,1]
[7,6,1,3,2,4,8,5] => [1,1,2,3,1]
[6,7,1,3,2,4,8,5] => [2,2,3,1]
[1,2,7,3,5,8,4,6] => [3,3,2]
[1,2,7,5,8,3,4,6] => [3,2,3]
[5,8,1,3,7,2,4,6] => [2,3,3]
[1,2,5,8,7,3,4,6] => [4,1,3]
[1,2,5,8,3,7,4,6] => [4,2,2]
[2,8,1,7,3,5,4,6] => [2,2,2,2]
[8,6,1,3,2,4,7,5] => [1,1,2,3,1]
[4,2,8,1,7,3,6,5] => [1,2,2,2,1]
[2,8,1,7,4,3,6,5] => [2,2,1,2,1]
[7,1,2,8,4,3,6,5] => [1,3,1,2,1]
[1,2,8,4,7,5,3,6] => [3,2,1,2]
[1,2,8,7,4,5,3,6] => [3,1,2,2]
[2,8,1,7,5,3,4,6] => [2,2,1,3]
[8,3,7,1,5,2,4,6] => [1,2,2,3]
[3,8,6,1,4,7,2,5] => [2,1,3,2]
[8,6,1,4,2,7,3,5] => [1,1,2,2,2]
[8,1,6,2,7,4,3,5] => [1,2,2,1,2]
[7,1,2,8,6,4,3,5] => [1,3,1,1,2]
[7,4,1,2,8,6,3,5] => [1,1,3,1,2]
[3,7,4,8,1,6,2,5] => [2,2,2,2]
[3,4,8,7,1,6,2,5] => [3,1,2,2]
[4,2,8,1,7,6,3,5] => [1,2,2,1,2]
[2,8,1,7,6,4,3,5] => [2,2,1,1,2]
[7,8,3,4,1,5,2,6] => [2,2,2,2]
[7,8,3,4,1,6,2,5] => [2,2,2,2]
[6,8,3,4,1,7,2,5] => [2,2,2,2]
[6,7,3,4,1,8,2,5] => [2,2,2,2]
[5,7,3,4,1,8,2,6] => [2,2,2,2]
[5,8,3,4,1,7,2,6] => [2,2,2,2]
[5,8,3,4,1,6,2,7] => [2,2,2,2]
[6,8,3,4,1,5,2,7] => [2,2,2,2]
[6,7,3,4,1,5,2,8] => [2,2,2,2]
[5,7,3,4,1,6,2,8] => [2,2,2,2]
[5,6,2,8,3,4,1,7] => [2,2,2,2]
[5,6,2,7,3,4,1,8] => [2,2,2,2]
[4,6,2,8,3,5,1,7] => [2,2,2,2]
[4,7,3,5,1,6,2,8] => [2,2,2,2]
[4,8,3,5,1,6,2,7] => [2,2,2,2]
[4,8,3,5,1,7,2,6] => [2,2,2,2]
[4,7,3,5,1,8,2,6] => [2,2,2,2]
[5,6,2,3,1,7,4,8] => [2,2,2,2]
[5,6,2,4,1,8,3,7] => [2,2,2,2]
[5,6,2,4,1,7,3,8] => [2,2,2,2]
[4,6,2,5,1,7,3,8] => [2,2,2,2]
[4,6,2,5,1,8,3,7] => [2,2,2,2]
[4,5,1,8,3,7,2,6] => [2,2,2,2]
[4,5,1,7,3,8,2,6] => [2,2,2,2]
[4,6,2,7,3,8,1,5] => [2,2,2,2]
[5,6,2,7,3,8,1,4] => [2,2,2,2]
[5,6,2,7,4,8,1,3] => [2,2,2,2]
[5,6,3,8,4,7,1,2] => [2,2,2,2]
[5,6,2,8,4,7,1,3] => [2,2,2,2]
[5,6,2,8,3,7,1,4] => [2,2,2,2]
[4,6,2,8,3,7,1,5] => [2,2,2,2]
[4,5,1,7,3,6,2,8] => [2,2,2,2]
[4,5,1,8,3,6,2,7] => [2,2,2,2]
[6,5,3,2,1,4,8,7] => [1,1,1,1,3,1]
[4,6,3,5,2,1,8,7] => [2,2,1,2,1]
[8,7,3,5,2,4,1,6] => [1,1,2,2,2]
[6,8,2,4,5,7,3,1] => [2,4,1,1]
[8,7,2,4,5,3,1,6] => [1,1,3,1,2]
[3,6,1,4,5,2,8,7] => [2,3,2,1]
[8,3,7,4,5,2,1,6] => [1,2,2,1,2]
[6,3,8,4,5,7,2,1] => [1,2,3,1,1]
[5,8,7,4,3,6,2,1] => [2,1,1,2,1,1]
[2,8,7,4,3,6,1,5] => [2,1,1,2,2]
[8,1,7,4,3,6,2,5] => [1,2,1,2,2]
[8,7,3,5,1,4,2,6] => [1,1,2,2,2]
[2,1,6,8,5,7,4,3] => [1,3,2,1,1]
[6,8,3,5,1,7,4,2] => [2,2,2,1,1]
[5,1,8,4,7,6,3,2] => [1,2,2,1,1,1]
[2,5,8,4,7,6,3,1] => [3,2,1,1,1]
[4,3,8,1,5,6,7,2] => [1,2,4,1]
[4,8,1,3,5,6,7,2] => [2,5,1]
[5,8,7,4,1,6,3,2] => [2,1,1,2,1,1]
[5,8,3,6,1,4,7,2] => [2,2,3,1]
[4,8,3,6,1,2,7,5] => [2,2,3,1]
[3,8,7,4,1,6,2,5] => [2,1,1,2,2]
[3,8,1,2,5,6,7,4] => [2,5,1]
[8,7,1,4,2,6,3,5] => [1,1,2,2,2]
[8,6,3,1,2,4,7,5] => [1,1,1,4,1]
[8,1,7,4,5,2,3,6] => [1,2,2,3]
[2,8,7,4,5,1,3,6] => [2,1,2,3]
[8,7,2,4,1,6,3,5] => [1,1,2,2,2]
[5,8,3,6,2,4,7,1] => [2,2,3,1]
[8,6,3,2,1,4,7,5] => [1,1,1,1,3,1]
[8,7,3,5,2,1,4,6] => [1,1,2,1,3]
[5,8,3,6,2,1,7,4] => [2,2,1,2,1]
[5,8,7,4,2,6,1,3] => [2,1,1,2,2]
[2,6,8,4,5,7,1,3] => [3,3,2]
[6,1,8,4,5,7,2,3] => [1,2,3,2]
[6,8,3,5,1,7,2,4] => [2,2,2,2]
[2,1,5,8,3,6,7,4] => [1,3,3,1]
[5,8,3,6,1,2,7,4] => [2,2,3,1]
[4,1,8,2,5,6,7,3] => [1,2,4,1]
[2,4,8,1,5,6,7,3] => [3,4,1]
[4,8,2,1,5,6,7,3] => [2,1,4,1]
[3,4,8,2,5,6,7,1] => [3,4,1]
[5,8,1,4,7,6,2,3] => [2,3,1,2]
[5,8,3,1,6,2,7,4] => [2,1,2,2,1]
[4,5,3,8,6,1,7,2] => [2,2,1,2,1]
[3,4,1,8,5,6,7,2] => [2,2,3,1]
[4,5,7,6,2,3,8,1] => [3,1,3,1]
[3,5,7,2,6,4,8,1] => [3,2,2,1]
[2,5,7,3,6,4,8,1] => [3,2,2,1]
[1,5,7,3,6,8,4,2] => [3,3,1,1]
[8,4,3,7,6,1,5,2] => [1,1,2,1,2,1]
[6,7,2,3,5,4,8,1] => [2,3,2,1]
[5,2,7,3,6,4,8,1] => [1,2,2,2,1]
[8,3,4,7,6,1,5,2] => [1,3,1,2,1]
[8,2,4,7,1,6,5,3] => [1,3,2,1,1]
[3,1,4,7,6,8,5,2] => [1,3,2,1,1]
[4,1,3,7,6,8,5,2] => [1,3,2,1,1]
[5,1,7,3,6,8,4,2] => [1,2,3,1,1]
[6,7,1,3,5,8,4,2] => [2,4,1,1]
[5,8,7,3,6,1,4,2] => [2,1,2,2,1]
[4,8,3,7,6,1,5,2] => [2,2,1,2,1]
[3,8,4,7,6,1,5,2] => [2,2,1,2,1]
[2,8,4,7,1,6,5,3] => [2,2,2,1,1]
[8,1,4,7,2,6,5,3] => [1,3,2,1,1]
[8,1,3,2,7,6,5,4] => [1,2,2,1,1,1]
[2,8,3,1,7,6,5,4] => [2,1,2,1,1,1]
[3,8,2,1,7,6,5,4] => [2,1,2,1,1,1]
[6,7,1,2,8,5,4,3] => [2,3,1,1,1]
[8,2,3,1,7,6,5,4] => [1,2,2,1,1,1]
[8,3,2,1,7,6,5,4] => [1,1,1,2,1,1,1]
[3,4,1,7,6,8,5,2] => [2,2,2,1,1]
[1,4,2,7,8,6,5,3] => [2,3,1,1,1]
[8,4,2,7,1,6,5,3] => [1,1,2,2,1,1]
[8,5,7,2,1,6,4,3] => [1,2,1,2,1,1]
[1,5,7,2,8,6,4,3] => [3,2,1,1,1]
[2,5,7,1,8,6,4,3] => [3,2,1,1,1]
[3,5,7,1,6,8,4,2] => [3,3,1,1]
[6,7,4,5,8,1,3,2] => [2,3,2,1]
[5,4,7,6,8,1,3,2] => [1,2,2,2,1]
[2,5,7,8,1,6,4,3] => [4,2,1,1]
[1,5,7,8,2,6,4,3] => [4,2,1,1]
[8,5,7,1,2,6,4,3] => [1,2,3,1,1]
[8,4,1,7,2,6,5,3] => [1,1,2,2,1,1]
[1,4,8,7,2,6,5,3] => [3,1,2,1,1]
[3,4,8,7,6,1,5,2] => [3,1,1,2,1]
[4,3,8,7,6,1,5,2] => [1,2,1,1,2,1]
[5,3,7,8,6,1,4,2] => [1,3,1,2,1]
[6,7,2,8,1,5,4,3] => [2,2,2,1,1]
[5,2,7,8,1,6,4,3] => [1,3,2,1,1]
[4,2,8,7,1,6,5,3] => [1,2,1,2,1,1]
[3,2,8,1,7,6,5,4] => [1,2,2,1,1,1]
[1,3,8,2,7,6,5,4] => [3,2,1,1,1]
[8,3,1,2,7,6,5,4] => [1,1,3,1,1,1]
[8,2,1,3,7,6,5,4] => [1,1,3,1,1,1]
[1,2,8,3,7,6,5,4] => [3,2,1,1,1]
[2,1,8,3,7,6,5,4] => [1,2,2,1,1,1]
[4,1,8,7,2,6,5,3] => [1,2,1,2,1,1]
[5,1,7,8,2,6,4,3] => [1,3,2,1,1]
[6,7,1,8,2,5,4,3] => [2,2,2,1,1]
[5,8,7,1,2,6,4,3] => [2,1,3,1,1]
[4,8,1,7,2,6,5,3] => [2,2,2,1,1]
[3,8,1,2,7,6,5,4] => [2,3,1,1,1]
[2,8,1,3,7,6,5,4] => [2,3,1,1,1]
[1,8,2,3,7,6,5,4] => [2,3,1,1,1]
[8,1,2,3,7,6,5,4] => [1,4,1,1,1]
[6,7,1,8,4,5,2,3] => [2,2,2,2]
[3,7,1,5,8,2,6,4] => [2,3,2,1]
[2,7,1,5,8,3,6,4] => [2,3,2,1]
[2,6,5,1,8,3,7,4] => [2,1,2,2,1]
[3,6,5,1,8,2,7,4] => [2,1,2,2,1]
[4,6,5,1,8,7,2,3] => [2,1,2,1,2]
[5,6,4,1,8,7,2,3] => [2,1,2,1,2]
[8,1,4,5,7,6,2,3] => [1,4,1,2]
[6,4,5,1,8,7,2,3] => [1,2,2,1,2]
[5,4,6,1,8,7,2,3] => [1,2,2,1,2]
[4,5,6,1,8,7,2,3] => [3,2,1,2]
[3,5,6,1,8,2,7,4] => [3,2,2,1]
[2,5,6,1,8,3,7,4] => [3,2,2,1]
[2,4,6,1,3,8,7,5] => [3,3,1,1]
[3,4,6,1,2,8,7,5] => [3,3,1,1]
[4,3,6,1,2,8,7,5] => [1,2,3,1,1]
[5,3,6,1,8,2,7,4] => [1,2,2,2,1]
[7,3,1,5,8,2,6,4] => [1,1,3,2,1]
[8,1,3,5,7,2,6,4] => [1,4,2,1]
[8,1,2,5,7,3,6,4] => [1,4,2,1]
[7,2,1,5,8,3,6,4] => [1,1,3,2,1]
[6,2,5,1,8,3,7,4] => [1,2,2,2,1]
[4,2,6,1,3,8,7,5] => [1,2,3,1,1]
[2,3,6,1,4,8,7,5] => [3,3,1,1]
[4,2,5,3,1,8,7,6] => [1,2,1,2,1,1]
[6,2,4,1,3,8,7,5] => [1,2,3,1,1]
[7,2,1,4,3,8,6,5] => [1,1,2,2,1,1]
[8,1,2,4,3,7,6,5] => [1,3,2,1,1]
[8,1,3,4,2,7,6,5] => [1,3,2,1,1]
[7,3,1,4,2,8,6,5] => [1,1,2,2,1,1]
[6,3,4,1,2,8,7,5] => [1,2,3,1,1]
[4,6,3,1,2,8,7,5] => [2,1,3,1,1]
[3,6,4,1,2,8,7,5] => [2,1,3,1,1]
[2,6,4,1,3,8,7,5] => [2,1,3,1,1]
[2,7,1,4,3,8,6,5] => [2,2,2,1,1]
[3,7,1,4,2,8,6,5] => [2,2,2,1,1]
[4,7,1,3,2,8,6,5] => [2,2,2,1,1]
[8,1,6,7,2,3,5,4] => [1,3,3,1]
[4,7,1,2,3,8,6,5] => [2,4,1,1]
[3,7,1,2,4,8,6,5] => [2,4,1,1]
[2,7,1,3,4,8,6,5] => [2,4,1,1]
[2,6,3,1,4,8,7,5] => [2,1,3,1,1]
[3,6,2,1,4,8,7,5] => [2,1,3,1,1]
[5,6,2,1,8,3,7,4] => [2,1,2,2,1]
[6,5,2,1,8,3,7,4] => [1,1,1,2,2,1]
[8,1,5,2,7,3,6,4] => [1,2,2,2,1]
[8,1,4,2,3,7,6,5] => [1,2,3,1,1]
[7,4,1,2,3,8,6,5] => [1,1,4,1,1]
[6,4,2,1,3,8,7,5] => [1,1,1,3,1,1]
[5,4,2,3,1,8,7,6] => [1,1,2,2,1,1]
[3,5,2,4,1,8,7,6] => [2,2,2,1,1]
[6,3,2,1,4,8,7,5] => [1,1,1,3,1,1]
[7,3,1,2,4,8,6,5] => [1,1,4,1,1]
[8,1,3,2,4,7,6,5] => [1,2,3,1,1]
[8,1,2,3,4,7,6,5] => [1,5,1,1]
[7,2,1,3,4,8,6,5] => [1,1,4,1,1]
[6,2,3,1,4,8,7,5] => [1,2,3,1,1]
[2,4,3,6,1,5,8,7] => [2,2,3,1]
[2,4,3,6,5,8,1,7] => [2,2,2,2]
[2,4,6,3,5,8,7,1] => [3,3,1,1]
[2,4,6,3,5,8,1,7] => [3,3,2]
[2,4,6,3,5,1,8,7] => [3,2,2,1]
[2,4,6,3,1,5,8,7] => [3,1,3,1]
[2,4,1,6,5,3,8,7] => [2,2,1,2,1]
[2,4,6,1,5,3,8,7] => [3,2,2,1]
[4,2,6,5,3,1,8,7] => [1,2,1,1,2,1]
[4,2,6,5,1,3,8,7] => [1,2,1,3,1]
[4,2,6,5,1,8,7,3] => [1,2,1,2,1,1]
[4,2,6,5,8,1,7,3] => [1,2,2,2,1]
[4,2,6,5,8,1,3,7] => [1,2,2,3]
[4,2,6,5,8,3,1,7] => [1,2,2,1,2]
[2,4,6,1,5,8,3,7] => [3,3,2]
[2,4,1,6,5,8,3,7] => [2,2,2,2]
[2,1,4,6,5,8,3,7] => [1,3,2,2]
[2,4,1,6,5,8,7,3] => [2,2,2,1,1]
[2,4,6,1,5,8,7,3] => [3,3,1,1]
[4,2,6,5,3,8,7,1] => [1,2,1,2,1,1]
[4,2,6,5,8,3,7,1] => [1,2,2,2,1]
[2,6,4,3,8,7,1,5] => [2,1,2,1,2]
[2,6,4,3,8,7,5,1] => [2,1,2,1,1,1]
[4,2,6,8,5,3,7,1] => [1,3,1,2,1]
[2,4,6,8,1,5,7,3] => [4,3,1]
[2,4,6,1,8,5,7,3] => [3,2,2,1]
[2,4,1,6,8,5,7,3] => [2,3,2,1]
[2,1,4,6,8,5,7,3] => [1,4,2,1]
[2,1,4,6,8,5,3,7] => [1,4,1,2]
[2,4,1,6,8,5,3,7] => [2,3,1,2]
[2,4,6,1,8,5,3,7] => [3,2,1,2]
[2,4,6,8,1,5,3,7] => [4,2,2]
[4,2,6,8,5,3,1,7] => [1,3,1,1,2]
[4,2,6,8,5,1,3,7] => [1,3,1,3]
[4,2,6,8,5,1,7,3] => [1,3,1,2,1]
[2,4,6,8,3,5,7,1] => [4,3,1]
[2,4,6,8,3,5,1,7] => [4,2,2]
[2,4,6,8,3,1,5,7] => [4,1,3]
[2,4,6,3,1,8,5,7] => [3,1,2,2]
[2,4,6,3,8,1,5,7] => [3,2,3]
[2,4,6,3,8,5,1,7] => [3,2,1,2]
[2,4,6,3,8,5,7,1] => [3,2,2,1]
[2,4,3,6,8,5,7,1] => [2,3,2,1]
[2,4,3,6,8,5,1,7] => [2,3,1,2]
[2,4,3,6,8,1,5,7] => [2,3,3]
[2,4,3,6,1,8,5,7] => [2,2,2,2]
[2,4,3,1,6,8,5,7] => [2,1,3,2]
[2,4,1,3,6,8,7,5] => [2,4,1,1]
[2,4,3,6,1,8,7,5] => [2,2,2,1,1]
[2,4,3,6,8,1,7,5] => [2,3,2,1]
[4,6,5,2,8,7,3,1] => [2,1,2,1,1,1]
[4,6,5,2,8,7,1,3] => [2,1,2,1,2]
[4,6,2,5,8,7,1,3] => [2,3,1,2]
[4,6,2,5,8,7,3,1] => [2,3,1,1,1]
[2,4,6,3,8,1,7,5] => [3,2,2,1]
[2,4,6,3,1,8,7,5] => [3,1,2,1,1]
[2,4,1,6,3,8,7,5] => [2,2,2,1,1]
[2,1,4,6,3,8,7,5] => [1,3,2,1,1]
[2,1,4,6,8,3,7,5] => [1,4,2,1]
[2,4,1,6,8,3,7,5] => [2,3,2,1]
[2,4,6,1,8,3,7,5] => [3,2,2,1]
[2,4,6,8,1,3,7,5] => [4,3,1]
[2,4,6,8,3,1,7,5] => [4,1,2,1]
[4,6,2,8,5,7,3,1] => [2,2,2,1,1]
[4,6,2,8,5,7,1,3] => [2,2,2,2]
[6,2,4,8,7,1,3,5] => [1,3,1,3]
[6,4,2,8,7,5,3,1] => [1,1,2,1,1,1,1]
[2,6,4,8,1,7,5,3] => [2,2,2,1,1]
[2,6,4,1,8,7,5,3] => [2,1,2,1,1,1]
[2,6,1,4,8,7,5,3] => [2,3,1,1,1]
[2,1,6,4,8,7,5,3] => [1,2,2,1,1,1]
[2,1,6,4,8,7,3,5] => [1,2,2,1,2]
[2,6,1,4,8,7,3,5] => [2,3,1,2]
[2,6,4,1,8,7,3,5] => [2,1,2,1,2]
[2,6,4,8,1,7,3,5] => [2,2,2,2]
[6,4,2,8,7,5,1,3] => [1,1,2,1,1,2]
[6,2,4,8,7,3,5,1] => [1,3,1,2,1]
[6,2,4,8,7,3,1,5] => [1,3,1,1,2]
[1,6,4,7,3,8,2,5] => [2,2,2,2]
[1,3,7,4,5,8,2,6] => [3,3,2]
[5,2,4,7,3,6,8,1] => [1,3,3,1]
[1,7,6,3,4,8,2,5] => [2,1,3,2]
[8,1,6,3,7,2,4,5] => [1,2,2,3]
[7,1,6,3,8,2,4,5] => [1,2,2,3]
[1,2,7,4,8,3,5,6] => [3,2,3]
[6,1,7,3,4,8,2,5] => [1,2,3,2]
[2,1,7,4,5,8,3,6] => [1,2,3,2]
[5,1,4,7,3,8,2,6] => [1,3,2,2]
[4,3,1,7,5,8,2,6] => [1,1,2,2,2]
[2,8,6,3,7,1,4,5] => [2,1,2,3]
[6,8,1,3,7,2,4,5] => [2,3,3]
[5,8,2,1,7,3,4,6] => [2,1,2,3]
[5,7,2,1,8,3,4,6] => [2,1,2,3]
[6,7,1,3,8,2,4,5] => [2,3,3]
[5,1,2,4,8,3,6,7] => [1,4,3]
[4,3,6,1,5,8,2,7] => [1,2,3,2]
[2,6,1,4,5,8,3,7] => [2,4,2]
[6,5,1,3,4,8,2,7] => [1,1,4,2]
[1,6,2,4,8,3,5,7] => [2,3,3]
[8,5,1,3,7,2,4,6] => [1,1,3,3]
[1,5,3,2,8,4,6,7] => [2,1,2,3]
[6,4,2,1,5,8,3,7] => [1,1,1,3,2]
[2,5,3,4,1,8,6,7] => [2,2,2,2]
[4,3,5,2,1,8,6,7] => [1,2,1,2,2]
[2,6,4,8,7,1,3,5] => [2,2,1,3]
[1,6,4,8,7,2,3,5] => [2,2,1,3]
[2,7,8,3,6,1,4,5] => [3,2,3]
[4,3,2,8,7,1,5,6] => [1,1,2,1,3]
[5,2,4,8,7,1,3,6] => [1,3,1,3]
[6,2,8,3,7,1,4,5] => [1,2,2,3]
[5,1,4,8,7,2,3,6] => [1,3,1,3]
[4,8,2,5,1,3,7,6] => [2,2,3,1]
[4,7,2,5,1,3,8,6] => [2,2,3,1]
[3,7,2,1,5,4,8,6] => [2,1,2,2,1]
[3,8,2,1,5,4,7,6] => [2,1,2,2,1]
[8,3,2,1,5,4,6,7] => [1,1,1,2,3]
[8,3,2,1,6,4,5,7] => [1,1,1,2,3]
[8,4,2,5,1,6,3,7] => [1,1,2,2,2]
[8,3,2,1,5,6,4,7] => [1,1,1,3,2]
[8,3,2,1,4,6,5,7] => [1,1,1,3,2]
[3,8,2,1,4,5,7,6] => [2,1,4,1]
[3,7,2,1,4,5,8,6] => [2,1,4,1]
[3,2,7,1,4,6,8,5] => [1,2,4,1]
[3,2,8,1,4,6,7,5] => [1,2,4,1]
[3,2,8,1,4,7,6,5] => [1,2,3,1,1]
[3,8,2,1,4,7,5,6] => [2,1,3,2]
[3,8,2,1,5,7,4,6] => [2,1,3,2]
[4,8,2,5,1,7,3,6] => [2,2,2,2]
[4,7,2,5,1,8,3,6] => [2,2,2,2]
[3,7,2,1,5,8,4,6] => [2,1,3,2]
[3,7,2,1,4,8,5,6] => [2,1,3,2]
[3,2,1,7,5,8,6,4] => [1,1,2,2,1,1]
[3,2,7,1,6,8,4,5] => [1,2,3,2]
[4,2,7,6,1,8,3,5] => [1,2,1,2,2]
[4,3,7,6,8,1,2,5] => [1,2,2,3]
[4,3,8,6,7,1,2,5] => [1,2,2,3]
[4,2,8,6,1,7,3,5] => [1,2,1,2,2]
[3,2,8,1,6,7,4,5] => [1,2,3,2]
[3,2,1,8,7,5,6,4] => [1,1,2,1,2,1]
[3,8,2,1,7,4,5,6] => [2,1,2,3]
[3,2,8,1,7,4,6,5] => [1,2,2,2,1]
[3,2,8,1,6,4,7,5] => [1,2,2,2,1]
[3,2,7,1,6,4,8,5] => [1,2,2,2,1]
[4,2,7,6,1,3,8,5] => [1,2,1,3,1]
[4,2,8,6,1,3,7,5] => [1,2,1,3,1]
[4,2,8,7,1,3,6,5] => [1,2,1,3,1]
[5,7,8,3,4,1,2,6] => [3,2,3]
[4,2,7,8,1,3,6,5] => [1,3,3,1]
[4,2,6,8,1,3,7,5] => [1,3,3,1]
[4,2,6,7,1,3,8,5] => [1,3,3,1]
[3,2,6,1,8,4,7,5] => [1,2,2,2,1]
[3,7,2,1,8,4,5,6] => [2,1,2,3]
[3,7,2,1,8,5,4,6] => [2,1,2,1,2]
[4,7,3,8,5,1,2,6] => [2,2,1,3]
[4,3,7,8,6,1,2,5] => [1,3,1,3]
[3,2,7,1,8,6,4,5] => [1,2,2,1,2]
[3,2,1,6,8,5,7,4] => [1,1,3,2,1]
[3,2,6,1,8,7,4,5] => [1,2,2,1,2]
[4,2,6,8,1,7,3,5] => [1,3,2,2]
[4,3,6,8,7,1,2,5] => [1,3,1,3]
[4,2,6,7,1,8,3,5] => [1,3,2,2]
[3,2,6,1,7,8,4,5] => [1,2,3,2]
[3,4,6,8,7,5,1,2] => [4,1,1,2]
[5,3,6,4,8,7,1,2] => [1,2,2,1,2]
[1,4,6,2,7,8,5,3] => [3,3,1,1]
[3,1,8,5,4,2,6,7] => [1,2,1,1,3]
[1,2,7,5,4,8,6,3] => [3,1,2,1,1]
[6,3,7,5,4,8,1,2] => [1,2,1,2,2]
[7,3,8,5,4,6,1,2] => [1,2,1,2,2]
[3,8,7,5,4,6,1,2] => [2,1,1,2,2]
[4,3,6,7,8,5,1,2] => [1,4,1,2]
[4,5,6,3,8,7,1,2] => [3,2,1,2]
[3,6,8,5,4,7,1,2] => [3,1,2,2]
[6,8,3,5,4,7,1,2] => [2,2,2,2]
[7,6,3,5,4,8,1,2] => [1,1,2,2,2]
[1,6,2,5,4,8,7,3] => [2,2,2,1,1]
[7,1,2,5,8,3,6,4] => [1,4,2,1]
[1,8,2,5,7,3,6,4] => [2,3,2,1]
[6,2,1,5,4,8,7,3] => [1,1,2,2,1,1]
[4,1,6,2,8,7,5,3] => [1,2,2,1,1,1]
[7,8,1,2,4,6,5,3] => [2,4,1,1]
[7,8,3,1,4,2,6,5] => [2,1,2,2,1]
[4,3,6,1,8,2,7,5] => [1,2,2,2,1]
[2,3,8,5,4,1,6,7] => [3,1,1,3]
[4,8,1,5,2,3,7,6] => [2,2,3,1]
[7,5,1,6,4,3,2,8] => [1,1,2,1,1,2]
[5,8,1,6,4,3,2,7] => [2,2,1,1,2]
[6,1,5,7,4,3,2,8] => [1,3,1,1,2]
[1,5,8,6,4,3,2,7] => [3,1,1,1,2]
[3,4,6,1,5,8,2,7] => [3,3,2]
[7,8,4,1,5,3,2,6] => [2,1,2,1,2]
[7,8,5,1,6,3,2,4] => [2,1,2,1,2]
[2,6,1,5,7,3,8,4] => [2,3,2,1]
[1,6,8,7,4,3,2,5] => [3,1,1,1,2]
[6,8,1,7,4,3,2,5] => [2,2,1,1,2]
[5,6,1,7,4,3,2,8] => [2,2,1,1,2]
[5,1,7,6,4,3,2,8] => [1,2,1,1,1,2]
[6,1,7,8,4,3,2,5] => [1,3,1,1,2]
[7,1,8,6,4,3,2,5] => [1,2,1,1,1,2]
[1,8,7,6,4,3,2,5] => [2,1,1,1,1,2]
[2,1,7,5,6,3,8,4] => [1,2,2,2,1]
[3,1,6,7,5,8,2,4] => [1,3,2,2]
[7,8,1,6,5,3,2,4] => [2,2,1,1,2]
[7,8,2,1,4,5,6,3] => [2,1,4,1]
[2,8,1,5,4,6,7,3] => [2,2,3,1]
[7,2,1,5,4,6,8,3] => [1,1,2,3,1]
[1,2,8,5,6,3,7,4] => [3,2,2,1]
[6,1,2,5,7,3,8,4] => [1,4,2,1]
[4,2,1,5,6,3,7,8] => [1,1,3,3]
[4,3,6,1,5,7,2,8] => [1,2,3,2]
[5,1,6,3,7,8,2,4] => [1,2,3,2]
[1,3,6,8,5,7,2,4] => [4,2,2]
[2,4,6,3,7,1,8,5] => [3,2,2,1]
[1,3,6,4,8,7,2,5] => [3,2,1,2]
[4,1,6,7,3,8,2,5] => [1,3,2,2]
[5,4,6,1,3,7,2,8] => [1,2,3,2]
[6,4,1,5,2,3,7,8] => [1,1,2,4]
[4,1,7,5,2,3,8,6] => [1,2,1,3,1]
[1,2,4,5,8,3,7,6] => [5,2,1]
[7,2,3,5,4,1,8,6] => [1,3,1,2,1]
[2,8,3,5,4,1,7,6] => [2,2,1,2,1]
[4,2,6,3,8,1,7,5] => [1,2,2,2,1]
[7,8,2,3,4,1,6,5] => [2,3,2,1]
[7,8,1,4,6,3,2,5] => [2,3,1,2]
[3,1,6,4,7,8,2,5] => [1,2,3,2]
[1,8,5,7,4,3,2,6] => [2,2,1,1,2]
[7,1,5,8,4,3,2,6] => [1,3,1,1,2]
[5,1,8,7,4,3,2,6] => [1,2,1,1,1,2]
[6,5,1,8,4,3,2,7] => [1,1,2,1,1,2]
[6,5,7,1,4,3,2,8] => [1,2,2,1,2]
[7,5,8,1,4,3,2,6] => [1,2,2,1,2]
[5,8,7,1,4,3,2,6] => [2,1,2,1,2]
[1,5,7,8,4,3,2,6] => [4,1,1,2]
[2,4,7,5,1,3,8,6] => [3,1,3,1]
[7,8,4,6,1,3,2,5] => [2,2,2,2]
[7,8,5,4,1,3,2,6] => [2,1,1,2,2]
[3,5,6,4,1,8,2,7] => [3,1,2,2]
[2,6,4,5,1,3,8,7] => [2,2,3,1]
[1,6,5,8,4,3,2,7] => [2,2,1,1,2]
[6,8,5,1,4,3,2,7] => [2,1,2,1,2]
[7,6,5,1,4,3,2,8] => [1,1,1,2,1,2]
[3,4,6,2,7,1,5,8] => [3,2,3]
[3,6,2,5,4,1,7,8] => [2,2,1,3]
[3,2,7,5,4,1,6,8] => [1,2,1,1,3]
[4,3,6,2,8,1,5,7] => [1,2,2,3]
[6,1,2,5,4,7,8,3] => [1,3,3,1]
[6,2,4,5,1,3,7,8] => [1,3,4]
[4,2,8,5,1,3,7,6] => [1,2,1,3,1]
[4,3,6,8,1,7,2,5] => [1,3,2,2]
[5,3,6,4,1,7,2,8] => [1,2,1,2,2]
[6,2,1,5,8,3,7,4] => [1,1,3,2,1]
[1,6,7,4,8,3,5,2] => [3,2,2,1]
[1,4,6,3,7,5,8,2] => [3,2,2,1]
[4,6,7,2,5,8,1,3] => [3,3,2]
[2,4,6,1,7,5,3,8] => [3,2,1,2]
[2,7,5,4,1,6,3,8] => [2,1,1,2,2]
[7,5,4,6,2,8,1,3] => [1,1,2,2,2]
[1,7,5,4,3,8,6,2] => [2,1,1,2,1,1]
[1,4,6,3,5,8,7,2] => [3,3,1,1]
[1,5,8,4,3,6,7,2] => [3,1,3,1]
[5,4,6,2,7,8,1,3] => [1,2,3,2]
[2,5,4,1,6,7,3,8] => [2,1,3,2]
[5,6,3,2,7,1,4,8] => [2,1,2,3]
[5,6,3,2,7,1,8,4] => [2,1,2,2,1]
[8,5,6,3,2,7,1,4] => [1,2,1,2,2]
[5,4,6,2,8,1,7,3] => [1,2,2,2,1]
[2,4,1,7,8,5,3,6] => [2,3,1,2]
[2,5,4,1,6,3,8,7] => [2,1,2,2,1]
[5,6,3,2,1,8,4,7] => [2,1,1,2,2]
[3,5,2,1,6,4,7,8] => [2,1,2,3]
[6,8,4,3,2,1,5,7] => [2,1,1,1,3]
[5,3,8,2,1,6,4,7] => [1,2,1,2,2]
[3,7,5,8,2,1,4,6] => [2,2,1,3]
[7,3,2,8,5,1,6,4] => [1,1,2,1,2,1]
[8,4,6,3,2,1,7,5] => [1,2,1,1,2,1]
[8,6,4,3,2,1,7,5] => [1,1,1,1,1,2,1]
[7,6,4,3,2,1,8,5] => [1,1,1,1,1,2,1]
[7,8,4,3,2,1,6,5] => [2,1,1,1,2,1]
[5,4,7,2,1,8,6,3] => [1,2,1,2,1,1]
[7,5,8,3,2,6,1,4] => [1,2,1,2,2]
[5,7,3,2,1,6,8,4] => [2,1,1,3,1]
[5,7,3,2,1,6,4,8] => [2,1,1,2,2]
[6,3,7,2,5,1,8,4] => [1,2,2,2,1]
[6,7,8,3,5,2,1,4] => [3,2,1,2]
[6,2,5,7,8,4,1,3] => [1,4,1,2]
[2,1,5,7,8,6,3,4] => [1,4,1,2]
[3,6,7,2,8,1,4,5] => [3,2,3]
[6,3,7,2,8,1,4,5] => [1,2,2,3]
[3,2,6,1,7,4,5,8] => [1,2,2,3]
[3,5,2,1,4,7,6,8] => [2,1,3,2]
[7,3,5,2,1,8,4,6] => [1,2,1,2,2]
[2,5,4,1,3,7,8,6] => [2,1,4,1]
[2,5,8,4,1,3,7,6] => [3,1,3,1]
[2,4,1,7,8,3,6,5] => [2,3,2,1]
[3,7,2,8,6,1,4,5] => [2,2,1,3]
[3,6,8,2,1,7,4,5] => [3,1,2,2]
[5,3,8,2,1,4,7,6] => [1,2,1,3,1]
[4,8,7,3,2,1,5,6] => [2,1,1,1,3]
[4,7,3,2,1,5,6,8] => [2,1,1,4]
[8,4,7,3,2,1,5,6] => [1,2,1,1,3]
[8,3,5,2,1,4,7,6] => [1,2,1,3,1]
[7,3,2,8,6,1,4,5] => [1,1,2,1,3]
[3,5,2,1,4,6,8,7] => [2,1,4,1]
[7,8,3,5,4,6,1,2] => [2,2,2,2]
[8,6,3,7,5,2,4,1] => [1,1,2,1,2,1]
[5,4,1,6,3,2,8,7] => [1,1,2,1,2,1]
[5,4,1,6,2,3,8,7] => [1,1,2,3,1]
[5,7,1,6,2,8,3,4] => [2,2,2,2]
[5,7,1,6,2,8,4,3] => [2,2,2,1,1]
[2,7,6,5,1,8,3,4] => [2,1,1,2,2]
[2,7,6,5,1,8,4,3] => [2,1,1,2,1,1]
[2,3,6,5,1,4,8,7] => [3,1,3,1]
[2,3,6,4,1,5,8,7] => [3,1,3,1]
[2,3,6,1,5,4,8,7] => [3,2,2,1]
[2,7,6,1,4,8,5,3] => [2,1,3,1,1]
[2,7,6,1,4,8,3,5] => [2,1,3,2]
[7,3,5,1,8,4,2,6] => [1,2,2,1,2]
[7,3,5,1,8,6,4,2] => [1,2,2,1,1,1]
[2,7,6,1,5,8,4,3] => [2,1,3,1,1]
[2,7,6,4,1,8,5,3] => [2,1,1,2,1,1]
[2,1,7,6,3,8,5,4] => [1,2,1,2,1,1]
[2,1,7,6,3,8,4,5] => [1,2,1,2,2]
[5,7,3,6,2,8,4,1] => [2,2,2,1,1]
[2,7,6,4,1,8,3,5] => [2,1,1,2,2]
[7,3,5,1,8,6,2,4] => [1,2,2,1,2]
[6,3,5,1,8,2,4,7] => [1,2,2,3]
[2,3,4,8,7,6,1,5] => [4,1,1,2]
[2,3,4,8,5,7,1,6] => [4,2,2]
[7,3,5,4,8,1,2,6] => [1,2,2,3]
[6,4,3,5,8,7,2,1] => [1,1,3,1,1,1]
[2,1,4,5,8,7,3,6] => [1,4,1,2]
[6,4,3,5,8,7,1,2] => [1,1,3,1,2]
[7,3,5,4,8,1,6,2] => [1,2,2,2,1]
[2,3,4,8,7,5,6,1] => [4,1,2,1]
[2,3,4,8,7,5,1,6] => [4,1,1,2]
[2,7,6,5,4,8,1,3] => [2,1,1,2,2]
[7,3,5,6,8,4,1,2] => [1,4,1,2]
[7,3,5,6,8,1,4,2] => [1,4,2,1]
[7,3,5,6,8,1,2,4] => [1,4,3]
[6,4,1,5,8,7,2,3] => [1,1,3,1,2]
[6,4,1,5,8,7,3,2] => [1,1,3,1,1,1]
[6,4,1,5,8,3,7,2] => [1,1,3,2,1]
[5,7,1,6,3,8,2,4] => [2,2,2,2]
[6,4,1,5,8,3,2,7] => [1,1,3,1,2]
[7,4,1,5,8,2,3,6] => [1,1,3,3]
[7,4,1,5,8,2,6,3] => [1,1,3,2,1]
[6,3,5,7,8,2,1,4] => [1,4,1,2]
[6,3,5,7,8,2,4,1] => [1,4,2,1]
[2,7,6,4,5,8,3,1] => [2,1,3,1,1]
[5,7,3,6,1,8,4,2] => [2,2,2,1,1]
[2,1,4,5,8,6,3,7] => [1,4,1,2]
[7,3,5,4,8,6,2,1] => [1,2,2,1,1,1]
[2,3,4,8,5,6,1,7] => [4,2,2]
[2,3,4,8,7,1,6,5] => [4,1,2,1]
[2,3,4,8,1,7,6,5] => [4,2,1,1]
[2,3,4,8,1,6,7,5] => [4,3,1]
[2,3,4,8,5,1,7,6] => [4,1,2,1]
[6,3,5,4,8,2,7,1] => [1,2,2,2,1]
[7,4,3,5,8,2,1,6] => [1,1,3,1,2]
[2,1,4,5,8,3,7,6] => [1,4,2,1]
[7,4,3,5,8,2,6,1] => [1,1,3,2,1]
[6,3,5,4,8,2,1,7] => [1,2,2,1,2]
[2,3,4,8,5,1,6,7] => [4,1,3]
[2,3,4,8,1,6,5,7] => [4,2,2]
[2,3,4,8,1,5,7,6] => [4,3,1]
[7,8,2,6,1,5,3,4] => [2,2,2,2]
[7,8,1,6,2,5,3,4] => [2,2,2,2]
[1,8,6,7,2,5,3,4] => [2,2,2,2]
[1,8,5,7,2,6,3,4] => [2,2,2,2]
[5,8,1,7,2,6,3,4] => [2,2,2,2]
[5,8,2,7,1,6,3,4] => [2,2,2,2]
[2,8,6,7,1,5,3,4] => [2,2,2,2]
[2,8,5,7,1,6,3,4] => [2,2,2,2]
[2,8,1,7,5,6,3,4] => [2,2,2,2]
[1,8,2,7,5,6,3,4] => [2,2,2,2]
[1,8,2,7,4,6,3,5] => [2,2,2,2]
[2,8,1,7,4,6,3,5] => [2,2,2,2]
[2,8,4,7,1,6,3,5] => [2,2,2,2]
[4,8,2,7,1,6,3,5] => [2,2,2,2]
[4,8,1,7,2,6,3,5] => [2,2,2,2]
[1,8,4,7,2,6,3,5] => [2,2,2,2]
[4,8,1,7,5,6,2,3] => [2,2,2,2]
[1,8,4,7,5,6,2,3] => [2,2,2,2]
[1,8,3,7,5,6,2,4] => [2,2,2,2]
[3,8,1,7,5,6,2,4] => [2,2,2,2]
[3,8,1,7,4,6,2,5] => [2,2,2,2]
[1,8,3,7,4,6,2,5] => [2,2,2,2]
[1,8,3,7,2,6,4,5] => [2,2,2,2]
[3,8,1,7,2,6,4,5] => [2,2,2,2]
[3,8,2,7,1,6,4,5] => [2,2,2,2]
[3,8,2,7,4,6,1,5] => [2,2,2,2]
[3,8,2,7,5,6,1,4] => [2,2,2,2]
[4,8,2,7,5,6,1,3] => [2,2,2,2]
[4,8,3,7,5,6,1,2] => [2,2,2,2]
[3,8,4,7,5,6,1,2] => [2,2,2,2]
[2,8,4,7,5,6,1,3] => [2,2,2,2]
[2,8,3,7,5,6,1,4] => [2,2,2,2]
[2,8,3,7,4,6,1,5] => [2,2,2,2]
[2,8,3,7,1,6,4,5] => [2,2,2,2]
[2,8,1,7,3,6,4,5] => [2,2,2,2]
[7,5,2,8,6,4,1,3] => [1,1,2,1,1,2]
[7,5,1,8,6,2,3,4] => [1,1,2,1,3]
[7,4,8,6,1,5,2,3] => [1,2,1,2,2]
[7,1,8,4,5,2,6,3] => [1,2,2,2,1]
[6,8,1,7,4,2,5,3] => [2,2,1,2,1]
[1,6,7,4,2,8,5,3] => [3,1,2,1,1]
[1,6,7,3,8,5,2,4] => [3,2,1,2]
[7,1,8,3,5,6,2,4] => [1,2,3,2]
[7,3,8,6,2,5,1,4] => [1,2,1,2,2]
[7,4,2,8,6,1,3,5] => [1,1,2,1,3]
[7,3,1,8,4,2,5,6] => [1,1,2,1,3]
[7,2,8,4,1,5,3,6] => [1,2,1,2,2]
[7,2,8,3,5,1,6,4] => [1,2,2,2,1]
[7,2,8,3,4,6,1,5] => [1,2,3,2]
[1,5,7,8,2,6,3,4] => [4,2,2]
[6,2,3,8,5,7,4,1] => [1,3,2,1,1]
[6,2,4,8,5,3,1,7] => [1,3,1,1,2]
[6,3,1,4,8,5,2,7] => [1,1,3,1,2]
[2,6,3,7,8,5,4,1] => [2,3,1,1,1]
[2,6,3,7,8,4,5,1] => [2,3,2,1]
[2,4,7,3,5,6,8,1] => [3,4,1]
[2,4,7,3,6,8,5,1] => [3,3,1,1]
[2,5,3,7,8,1,6,4] => [2,3,2,1]
[3,1,5,4,7,8,2,6] => [1,2,3,2]
[5,3,1,4,8,2,6,7] => [1,1,3,3]
[5,2,4,8,6,1,3,7] => [1,3,1,3]
[5,2,3,8,4,6,7,1] => [1,3,3,1]
[4,8,2,3,6,1,7,5] => [2,3,2,1]
[4,8,2,3,5,7,1,6] => [2,4,2]
[1,4,7,8,3,6,2,5] => [4,2,2]
[4,8,1,3,6,7,2,5] => [2,4,2]
[5,3,8,2,4,7,1,6] => [1,2,3,2]
[5,4,3,8,1,2,7,6] => [1,1,2,3,1]
[6,4,2,8,1,3,7,5] => [1,1,2,3,1]
[6,3,8,2,5,1,7,4] => [1,2,2,2,1]
[6,3,8,1,4,7,2,5] => [1,2,3,2]
[5,8,1,3,6,2,7,4] => [2,3,2,1]
[1,5,7,4,2,6,8,3] => [3,1,3,1]
[5,8,1,4,2,6,3,7] => [2,2,2,2]
[5,8,4,1,2,7,6,3] => [2,1,3,1,1]
[6,5,1,2,8,7,3,4] => [1,1,3,1,2]
[6,5,3,1,4,2,8,7] => [1,1,1,2,2,1]
[5,3,1,6,4,2,7,8] => [1,1,2,1,3]
[5,2,6,4,1,7,3,8] => [1,2,1,2,2]
[4,6,1,7,5,2,8,3] => [2,2,1,2,1]
[4,5,1,7,2,6,3,8] => [2,2,2,2]
[3,5,6,1,2,8,7,4] => [3,3,1,1]
[3,5,7,1,8,6,2,4] => [3,2,1,2]
[3,6,2,7,5,1,8,4] => [2,2,1,2,1]
[4,2,5,7,1,8,6,3] => [1,3,2,1,1]
[3,4,7,2,8,6,1,5] => [3,2,1,2]
[3,4,5,8,2,7,1,6] => [4,2,2]
[3,4,6,2,8,1,5,7] => [3,2,3]
[3,5,2,6,8,1,7,4] => [2,3,2,1]
[4,2,5,6,1,3,8,7] => [1,3,3,1]
[4,3,1,2,5,6,8,7] => [1,1,5,1]
[5,3,6,8,4,7,2,1] => [1,3,2,1,1]
[3,7,2,5,4,8,6,1] => [2,2,2,1,1]
[8,4,2,5,7,3,6,1] => [1,1,3,2,1]
[4,7,2,5,8,3,6,1] => [2,3,2,1]
[5,2,6,8,4,3,7,1] => [1,3,1,2,1]
[3,1,6,5,4,8,2,7] => [1,2,1,2,2]
[4,1,6,5,8,3,2,7] => [1,2,2,1,2]
[5,1,6,8,4,3,2,7] => [1,3,1,1,2]
[8,5,4,7,6,3,2,1] => [1,1,2,1,1,1,1]
[5,7,1,8,4,3,2,6] => [2,2,1,1,2]
[2,7,1,5,4,3,8,6] => [2,2,1,2,1]
[8,2,1,5,4,3,7,6] => [1,1,2,1,2,1]
[8,4,1,5,7,3,2,6] => [1,1,3,1,2]
[8,5,6,7,1,3,2,4] => [1,3,2,2]
[8,4,6,1,7,3,2,5] => [1,2,2,1,2]
[8,3,6,1,4,7,2,5] => [1,2,3,2]
[2,7,6,1,4,3,8,5] => [2,1,2,2,1]
[6,7,8,5,1,3,2,4] => [3,1,2,2]
[5,7,6,8,2,3,4,1] => [2,2,3,1]
[5,7,2,8,4,3,6,1] => [2,2,1,2,1]
[6,7,8,2,4,3,5,1] => [3,2,2,1]
[4,7,6,2,8,3,5,1] => [2,1,2,2,1]
[8,3,6,2,4,7,5,1] => [1,2,3,1,1]
[3,7,6,2,4,8,5,1] => [2,1,3,1,1]
[5,7,3,8,4,6,2,1] => [2,2,2,1,1]
[4,7,3,5,8,6,2,1] => [2,3,1,1,1]
[8,7,2,1,4,3,6,5] => [1,1,1,2,2,1]
[8,7,3,1,4,6,2,5] => [1,1,1,3,2]
[8,7,6,3,2,5,4,1] => [1,1,1,1,2,1,1]
[8,7,3,5,1,6,2,4] => [1,1,2,2,2]
[8,7,2,5,1,3,6,4] => [1,1,2,3,1]
[8,2,6,5,1,3,7,4] => [1,2,1,3,1]
[8,4,6,5,7,1,2,3] => [1,2,2,3]
[5,7,6,8,4,1,2,3] => [2,2,1,3]
[4,7,6,5,8,1,2,3] => [2,1,2,3]
[3,7,6,5,1,8,2,4] => [2,1,1,2,2]
[3,6,4,8,7,5,1,2] => [2,2,1,1,2]
[5,6,4,3,8,7,1,2] => [2,1,2,1,2]
[1,6,2,4,7,8,5,3] => [2,4,1,1]
[3,6,2,4,8,1,5,7] => [2,3,3]
[3,4,7,2,8,1,6,5] => [3,2,2,1]
[1,4,7,2,5,8,6,3] => [3,3,1,1]
[7,3,8,4,5,6,1,2] => [1,2,3,2]
[3,5,6,4,8,7,1,2] => [3,2,1,2]
[4,6,8,5,3,7,1,2] => [3,1,2,2]
[6,8,5,3,4,7,1,2] => [2,1,3,2]
[1,6,5,4,2,8,7,3] => [2,1,1,2,1,1]
[1,8,5,2,7,3,6,4] => [2,1,2,2,1]
[4,2,7,5,1,8,6,3] => [1,2,1,2,1,1]
[7,8,1,4,2,6,5,3] => [2,2,2,1,1]
[1,3,6,4,8,2,5,7] => [3,2,3]
[4,1,7,5,3,2,6,8] => [1,2,1,1,3]
[6,5,1,3,4,2,8,7] => [1,1,3,2,1]
[4,8,5,3,1,7,2,6] => [2,1,1,2,2]
[7,4,5,3,2,8,1,6] => [1,2,1,2,2]
[5,8,3,6,1,4,2,7] => [2,2,2,2]
[2,5,8,6,4,1,3,7] => [3,1,1,3]
[1,4,6,2,5,8,3,7] => [3,3,2]
[3,6,2,5,8,1,7,4] => [2,3,2,1]
[1,6,8,7,4,2,3,5] => [3,1,1,3]
[6,1,7,8,2,4,3,5] => [1,3,2,2]
[7,1,8,6,3,4,2,5] => [1,2,1,2,2]
[7,2,1,4,5,6,8,3] => [1,1,5,1]
[1,2,8,3,6,5,7,4] => [3,2,2,1]
[6,1,3,2,7,5,8,4] => [1,2,2,2,1]
[1,6,3,8,5,7,2,4] => [2,2,2,2]
[2,6,4,1,7,5,8,3] => [2,1,2,2,1]
[7,6,5,8,1,4,2,3] => [1,1,2,2,2]
[5,8,6,7,3,2,1,4] => [2,2,1,1,2]
[1,6,4,3,7,2,8,5] => [2,1,2,2,1]
[2,6,3,4,8,7,1,5] => [2,3,1,2]
[7,1,3,4,5,2,8,6] => [1,4,2,1]
[1,8,3,5,4,2,7,6] => [2,2,1,2,1]
[4,1,6,3,8,2,7,5] => [1,2,2,2,1]
[7,8,2,4,6,3,1,5] => [2,3,1,2]
[3,2,6,4,7,8,1,5] => [1,2,3,2]
[2,8,5,7,4,3,1,6] => [2,2,1,1,2]
[7,2,5,8,3,4,1,6] => [1,3,2,2]
[5,3,8,7,1,2,6,4] => [1,2,1,3,1]
[6,5,3,8,2,1,7,4] => [1,1,2,1,2,1]
[7,5,8,4,1,2,3,6] => [1,2,1,4]
[5,8,7,4,1,3,2,6] => [2,1,1,2,2]
[3,5,7,8,4,1,2,6] => [4,1,3]
[1,4,7,5,3,8,2,6] => [3,1,2,2]
[2,4,6,7,3,1,8,5] => [4,1,2,1]
[7,8,4,6,3,1,2,5] => [2,2,1,3]
[2,6,4,5,3,8,1,7] => [2,2,2,2]
[3,6,5,8,4,2,1,7] => [2,2,1,1,2]
[5,6,8,4,2,3,1,7] => [3,1,2,2]
[6,8,5,4,3,1,2,7] => [2,1,1,1,3]
[6,1,4,2,8,5,7,3] => [1,2,2,2,1]
[4,8,6,5,3,2,7,1] => [2,1,1,1,2,1]
[8,6,5,1,2,4,7,3] => [1,1,1,4,1]
[6,7,5,8,2,1,4,3] => [2,2,1,2,1]
[1,7,5,8,2,6,4,3] => [2,2,2,1,1]
[1,3,8,5,7,6,2,4] => [3,2,1,2]
[6,3,8,5,7,1,2,4] => [1,2,2,3]
[8,3,1,5,6,2,7,4] => [1,1,3,2,1]
[6,8,5,2,1,4,7,3] => [2,1,1,3,1]
[3,8,2,5,6,1,7,4] => [2,3,2,1]
[2,8,1,5,6,3,7,4] => [2,3,2,1]
[8,1,2,5,6,3,7,4] => [1,4,2,1]
[1,8,2,5,7,6,3,4] => [2,3,1,2]
[5,1,8,6,2,7,3,4] => [1,2,1,2,2]
[2,5,8,6,1,7,3,4] => [3,1,2,2]
[8,6,1,5,7,2,3,4] => [1,1,3,3]
[3,8,6,5,7,1,2,4] => [2,1,2,3]
[7,6,5,8,1,2,4,3] => [1,1,2,3,1]
[5,1,7,6,8,4,2,3] => [1,2,2,1,2]
[5,1,3,7,8,6,2,4] => [1,4,1,2]
[7,2,5,8,1,6,4,3] => [1,3,2,1,1]
[3,2,8,5,7,6,1,4] => [1,2,2,1,2]
[8,2,1,5,7,6,3,4] => [1,1,3,1,2]
[5,2,8,6,1,7,3,4] => [1,2,1,2,2]
[1,2,8,6,5,7,3,4] => [3,1,2,2]
[4,2,1,3,6,7,8,5] => [1,1,5,1]
[8,2,5,6,3,7,1,4] => [1,3,2,2]
[7,2,6,5,4,1,8,3] => [1,2,1,1,2,1]
[6,1,3,5,4,7,8,2] => [1,3,3,1]
[6,1,5,3,4,7,8,2] => [1,2,4,1]
[7,5,6,2,4,1,8,3] => [1,2,2,2,1]
[8,5,2,6,3,7,1,4] => [1,1,2,2,2]
[4,3,1,2,6,7,8,5] => [1,1,5,1]
[8,1,6,5,7,3,2,4] => [1,2,2,1,2]
[3,5,8,6,2,7,1,4] => [3,1,2,2]
[5,8,1,6,3,7,2,4] => [2,2,2,2]
[1,8,5,6,3,7,2,4] => [2,2,2,2]
[1,7,6,5,4,2,8,3] => [2,1,1,1,2,1]
[5,7,6,1,4,2,8,3] => [2,1,2,2,1]
[7,1,4,2,6,5,8,3] => [1,2,2,2,1]
[4,1,7,3,5,6,8,2] => [1,2,4,1]
[2,7,4,1,5,6,8,3] => [2,1,4,1]
[5,7,6,4,1,2,8,3] => [2,1,1,3,1]
[4,7,6,1,5,2,8,3] => [2,1,2,2,1]
[1,7,6,4,5,2,8,3] => [2,1,2,2,1]
[1,8,3,6,5,7,2,4] => [2,2,2,2]
[3,8,1,6,5,7,2,4] => [2,2,2,2]
[8,1,3,5,7,6,2,4] => [1,4,1,2]
[7,8,5,4,1,6,2,3] => [2,1,1,2,2]
[6,1,5,4,3,7,8,2] => [1,2,1,3,1]
[7,5,6,4,2,1,8,3] => [1,2,1,1,2,1]
[8,3,2,6,5,7,1,4] => [1,1,2,2,2]
[7,4,6,2,5,1,8,3] => [1,2,2,2,1]
[6,1,4,3,5,7,8,2] => [1,2,4,1]
[6,1,3,4,5,7,8,2] => [1,6,1]
[7,2,6,4,5,1,8,3] => [1,2,2,2,1]
[8,2,3,6,5,7,1,4] => [1,3,2,2]
[5,4,7,3,6,8,1,2] => [1,2,3,2]
[3,4,7,8,5,6,1,2] => [4,2,2]
[3,4,7,2,5,1,6,8] => [3,2,3]
[1,4,7,2,5,8,3,6] => [3,3,2]
[3,6,2,4,7,1,5,8] => [2,3,3]
[6,8,3,4,5,7,1,2] => [2,4,2]
[4,3,6,7,5,8,1,2] => [1,3,2,2]
[6,3,7,5,8,4,1,2] => [1,2,2,1,2]
[7,3,8,6,4,5,1,2] => [1,2,1,2,2]
[3,2,7,6,5,1,4,8] => [1,2,1,1,3]
[1,2,7,6,5,8,3,4] => [3,1,2,2]
[4,8,2,6,1,5,3,7] => [2,2,2,2]
[2,3,8,6,4,1,5,7] => [3,1,1,3]
[4,3,6,2,5,1,8,7] => [1,2,2,2,1]
[7,8,3,2,5,1,4,6] => [2,1,2,3]
[7,8,1,2,5,6,3,4] => [2,4,2]
[4,1,6,2,5,7,3,8] => [1,2,3,2]
[6,1,2,5,8,7,3,4] => [1,4,1,2]
[2,1,8,6,4,7,3,5] => [1,2,1,2,2]
[7,1,3,6,8,4,2,5] => [1,4,1,2]
[1,8,3,6,7,4,5,2] => [2,3,2,1]
[7,1,5,8,3,6,2,4] => [1,3,2,2]
[5,1,8,7,2,3,6,4] => [1,2,1,3,1]
[6,1,5,7,4,2,8,3] => [1,3,1,2,1]
[3,1,6,4,7,2,5,8] => [1,2,2,3]
[2,4,7,5,1,8,3,6] => [3,1,2,2]
[6,5,7,1,4,2,3,8] => [1,2,2,3]
[5,6,8,1,3,2,4,7] => [3,2,3]
[6,8,5,1,3,4,2,7] => [2,1,3,2]
[2,8,3,4,5,1,7,6] => [2,3,2,1]
[6,2,4,3,1,5,7,8] => [1,2,1,4]
[4,2,8,3,1,7,5,6] => [1,2,1,2,2]
[1,3,7,4,8,2,5,6] => [3,2,3]
[5,3,7,4,1,6,2,8] => [1,2,1,2,2]
[2,4,7,3,6,1,8,5] => [3,2,2,1]
[5,8,7,6,3,1,2,4] => [2,1,1,1,3]
[7,5,6,8,1,4,3,2] => [1,3,2,1,1]
[2,4,7,1,6,5,3,8] => [3,2,1,2]
[1,2,7,8,5,4,3,6] => [4,1,1,2]
[6,3,1,2,8,4,5,7] => [1,1,3,3]
[4,2,1,3,6,5,8,7] => [1,1,3,2,1]
[2,8,1,4,5,6,3,7] => [2,4,2]
[7,2,1,5,4,6,3,8] => [1,1,2,2,2]
[4,2,6,1,8,5,3,7] => [1,2,2,1,2]
[7,8,2,1,4,5,3,6] => [2,1,3,2]
[7,8,4,1,5,3,6,2] => [2,1,2,2,1]
[3,4,6,1,5,8,7,2] => [3,3,1,1]
[7,5,1,6,4,3,8,2] => [1,1,2,1,2,1]
[5,8,1,6,3,4,7,2] => [2,2,3,1]
[6,5,1,8,2,7,4,3] => [1,1,2,2,1,1]
[6,8,1,7,5,2,3,4] => [2,2,1,3]
[7,6,1,8,5,3,2,4] => [1,1,2,1,1,2]
[5,6,1,7,4,8,2,3] => [2,2,2,2]
[3,6,1,5,7,4,2,8] => [2,3,1,2]
[2,5,6,1,7,4,8,3] => [3,2,2,1]
[3,1,7,5,6,4,8,2] => [1,2,2,2,1]
[5,1,7,6,4,8,3,2] => [1,2,1,2,1,1]
[6,1,7,8,5,3,4,2] => [1,3,1,2,1]
[7,1,8,6,5,4,2,3] => [1,2,1,1,1,2]
[2,6,5,7,3,4,8,1] => [2,2,3,1]
[1,6,4,7,5,8,2,3] => [2,2,2,2]
[8,5,3,6,2,7,4,1] => [1,1,2,2,1,1]
[1,3,7,4,6,8,2,5] => [3,3,2]
[4,7,5,6,3,2,8,1] => [2,2,1,2,1]
[1,7,6,5,4,8,2,3] => [2,1,1,2,2]
[8,1,6,5,7,2,4,3] => [1,2,2,2,1]
[1,2,7,6,8,3,4,5] => [3,2,3]
[6,1,7,5,3,8,2,4] => [1,2,1,2,2]
[2,1,7,5,6,8,3,4] => [1,2,3,2]
[5,4,1,7,6,8,2,3] => [1,1,2,2,2]
[4,8,5,6,2,7,3,1] => [2,2,2,1,1]
[3,8,6,4,2,7,5,1] => [2,1,1,2,1,1]
[7,8,5,2,4,6,3,1] => [2,1,3,1,1]
[2,8,6,3,7,4,5,1] => [2,1,2,2,1]
[7,8,1,6,2,4,5,3] => [2,2,3,1]
[6,8,1,4,7,2,5,3] => [2,3,2,1]
[3,8,4,1,7,2,6,5] => [2,1,2,2,1]
[5,4,7,1,8,3,2,6] => [1,2,2,1,2]
[3,7,4,1,8,5,2,6] => [2,1,2,1,2]
[6,7,1,4,8,3,2,5] => [2,3,1,2]
[2,7,1,8,4,5,3,6] => [2,2,2,2]
[6,1,2,8,4,3,5,7] => [1,3,1,3]
[6,5,1,4,3,8,2,7] => [1,1,2,2,2]
[1,6,2,5,8,3,4,7] => [2,3,3]
[8,5,1,3,7,2,6,4] => [1,1,3,2,1]
[8,4,2,1,7,3,6,5] => [1,1,1,2,2,1]
[7,4,2,1,8,5,3,6] => [1,1,1,2,1,2]
[1,5,4,2,8,3,6,7] => [2,1,2,3]
[6,4,3,1,5,8,2,7] => [1,1,1,3,2]
[3,7,6,8,4,5,2,1] => [2,2,2,1,1]
[2,7,6,8,5,3,4,1] => [2,2,1,2,1]
[1,7,6,8,5,4,2,3] => [2,2,1,1,2]
[1,4,8,6,7,5,2,3] => [3,2,1,2]
[2,4,8,6,7,3,5,1] => [3,2,2,1]
[7,3,8,5,4,6,2,1] => [1,2,1,2,1,1]
[3,4,8,5,6,7,2,1] => [3,3,1,1]
[6,3,5,8,4,7,2,1] => [1,3,2,1,1]
[5,4,3,8,6,7,2,1] => [1,1,2,2,1,1]
[5,4,2,8,7,3,6,1] => [1,1,2,1,2,1]
[6,2,5,8,7,3,4,1] => [1,3,1,2,1]
[3,2,8,5,7,4,6,1] => [1,2,2,2,1]
[1,3,8,7,5,6,2,4] => [3,1,2,2]
[2,1,8,7,4,6,3,5] => [1,2,1,2,2]
[3,1,8,5,7,6,2,4] => [1,2,2,1,2]
[6,1,5,8,7,4,2,3] => [1,3,1,1,2]
[5,4,1,8,7,6,2,3] => [1,1,2,1,1,2]
[5,8,6,7,4,3,2,1] => [2,2,1,1,1,1]
[4,8,7,5,6,3,2,1] => [2,1,2,1,1,1]
[4,2,1,6,3,5,8,7] => [1,1,2,3,1]
[6,2,1,4,3,5,8,7] => [1,1,2,3,1]
[6,2,1,4,3,8,5,7] => [1,1,2,2,2]
[8,2,1,4,3,6,5,7] => [1,1,2,2,2]
[8,2,4,1,3,6,5,7] => [1,2,3,2]
[6,2,4,1,3,8,5,7] => [1,2,3,2]
[6,2,4,1,3,5,8,7] => [1,2,4,1]
[4,2,6,1,3,5,8,7] => [1,2,4,1]
[2,1,6,4,3,5,8,7] => [1,2,1,3,1]
[2,6,1,4,3,5,8,7] => [2,2,3,1]
[2,6,4,1,3,5,8,7] => [2,1,4,1]
[4,6,2,1,3,5,8,7] => [2,1,4,1]
[6,4,2,1,3,5,8,7] => [1,1,1,4,1]
[8,4,2,1,3,6,5,7] => [1,1,1,3,2]
[8,4,2,1,6,3,5,7] => [1,1,1,2,3]
[6,4,2,1,8,3,5,7] => [1,1,1,2,3]
[4,6,2,1,8,3,5,7] => [2,1,2,3]
[2,6,1,4,3,8,5,7] => [2,2,2,2]
[2,1,6,4,3,8,5,7] => [1,2,1,2,2]
[2,1,8,4,3,6,5,7] => [1,2,1,2,2]
[2,8,1,4,3,6,5,7] => [2,2,2,2]
[2,8,4,1,3,6,5,7] => [2,1,3,2]
[4,8,2,1,3,6,5,7] => [2,1,3,2]
[4,8,2,1,6,3,5,7] => [2,1,2,3]
[6,8,2,1,4,3,5,7] => [2,1,2,3]
[8,6,2,1,4,3,5,7] => [1,1,1,2,3]
[2,8,1,4,6,3,5,7] => [2,3,3]
[2,1,8,4,6,3,5,7] => [1,2,2,3]
[2,1,6,4,8,3,5,7] => [1,2,2,3]
[2,6,1,4,8,3,5,7] => [2,3,3]
[2,6,4,1,8,3,5,7] => [2,1,2,3]
[2,6,4,8,1,3,5,7] => [2,2,4]
[4,6,2,8,1,3,5,7] => [2,2,4]
[4,2,6,1,3,8,5,7] => [1,2,3,2]
[4,2,6,1,8,3,5,7] => [1,2,2,3]
[6,2,4,1,8,3,5,7] => [1,2,2,3]
[8,2,4,1,6,3,5,7] => [1,2,2,3]
[8,2,1,4,6,3,5,7] => [1,1,3,3]
[6,2,1,4,8,3,5,7] => [1,1,3,3]
[4,2,1,6,8,3,5,7] => [1,1,3,3]
[4,2,1,6,3,8,5,7] => [1,1,2,2,2]
[4,2,1,3,6,8,5,7] => [1,1,4,2]
[2,1,4,3,8,6,5,7] => [1,2,2,1,2]
[2,4,1,3,8,6,5,7] => [2,3,1,2]
[4,2,1,3,8,6,5,7] => [1,1,3,1,2]
[4,2,1,8,3,6,5,7] => [1,1,2,2,2]
[4,2,1,8,6,3,5,7] => [1,1,2,1,3]
[6,2,1,8,4,3,5,7] => [1,1,2,1,3]
[8,2,1,6,4,3,5,7] => [1,1,2,1,3]
[8,2,6,1,4,3,5,7] => [1,2,2,3]
[6,2,8,1,4,3,5,7] => [1,2,2,3]
[4,2,8,1,6,3,5,7] => [1,2,2,3]
[4,2,8,1,3,6,5,7] => [1,2,3,2]
[2,4,8,1,3,6,5,7] => [3,3,2]
[2,4,1,8,3,6,5,7] => [2,2,2,2]
[2,1,4,8,3,6,5,7] => [1,3,2,2]
[2,1,4,8,6,3,5,7] => [1,3,1,3]
[2,4,8,1,6,3,5,7] => [3,2,3]
[2,4,8,6,1,3,5,7] => [3,1,4]
[4,2,8,6,1,3,5,7] => [1,2,1,4]
[6,2,8,4,1,3,5,7] => [1,2,1,4]
[8,2,6,4,1,3,5,7] => [1,2,1,4]
[8,4,6,2,1,3,5,7] => [1,2,1,4]
[6,4,8,2,1,3,5,7] => [1,2,1,4]
[4,6,8,2,1,3,5,7] => [3,1,4]
[2,6,8,4,1,3,5,7] => [3,1,4]
[2,6,8,1,4,3,5,7] => [3,2,3]
[2,6,1,8,4,3,5,7] => [2,2,1,3]
[2,1,6,8,4,3,5,7] => [1,3,1,3]
[2,1,8,6,4,3,5,7] => [1,2,1,1,3]
[2,8,1,6,4,3,5,7] => [2,2,1,3]
[2,8,6,4,1,3,5,7] => [2,1,1,4]
[4,8,6,2,1,3,5,7] => [2,1,1,4]
[6,8,4,2,1,3,5,7] => [2,1,1,4]
[3,2,6,1,5,4,8,7] => [1,2,2,2,1]
[5,2,4,3,8,1,7,6] => [1,2,2,2,1]
[6,2,4,1,5,3,8,7] => [1,2,2,2,1]
[4,3,6,1,5,2,8,7] => [1,2,2,2,1]
[4,3,5,2,8,1,7,6] => [1,2,2,2,1]
[4,3,7,2,6,5,8,1] => [1,2,2,2,1]
[4,3,8,2,6,1,7,5] => [1,2,2,2,1]
[4,3,8,1,7,2,6,5] => [1,2,2,2,1]
[4,3,8,1,5,2,7,6] => [1,2,2,2,1]
[5,1,8,3,4,2,7,6] => [1,2,2,2,1]
[5,4,8,1,3,2,7,6] => [1,2,2,2,1]
[2,1,5,4,8,3,7,6] => [1,2,2,2,1]
[5,1,7,6,8,3,4,2] => [1,2,2,2,1]
[4,3,7,6,8,1,5,2] => [1,2,2,2,1]
[4,3,7,1,8,5,6,2] => [1,2,2,2,1]
[4,3,6,5,8,1,7,2] => [1,2,2,2,1]
[6,3,5,4,7,2,8,1] => [1,2,2,2,1]
[6,3,5,4,8,1,7,2] => [1,2,2,2,1]
[7,1,6,3,8,4,5,2] => [1,2,2,2,1]
[7,4,6,5,8,1,3,2] => [1,2,2,2,1]
[2,1,8,4,6,3,7,5] => [1,2,2,2,1]
[8,4,6,1,3,2,7,5] => [1,2,2,2,1]
[8,1,6,3,4,2,7,5] => [1,2,2,2,1]
[8,1,6,3,7,2,5,4] => [1,2,2,2,1]
[8,3,5,1,7,2,6,4] => [1,2,2,2,1]
[8,3,5,2,6,1,7,4] => [1,2,2,2,1]
[7,3,5,2,6,4,8,1] => [1,2,2,2,1]
[8,2,6,3,5,1,7,4] => [1,2,2,2,1]
[8,2,7,1,5,3,6,4] => [1,2,2,2,1]
[8,2,4,1,5,3,7,6] => [1,2,2,2,1]
[8,2,4,1,7,3,6,5] => [1,2,2,2,1]
[8,2,4,3,6,1,7,5] => [1,2,2,2,1]
[3,2,8,4,6,1,7,5] => [1,2,2,2,1]
[3,2,8,1,5,4,7,6] => [1,2,2,2,1]
[3,2,7,6,8,1,5,4] => [1,2,2,2,1]
[3,2,7,1,8,5,6,4] => [1,2,2,2,1]
[3,2,6,5,8,1,7,4] => [1,2,2,2,1]
[6,5,7,2,4,3,8,1] => [1,2,2,2,1]
[6,5,8,2,4,1,7,3] => [1,2,2,2,1]
[7,2,4,1,8,5,6,3] => [1,2,2,2,1]
[7,6,8,2,4,1,5,3] => [1,2,2,2,1]
[7,6,8,1,5,2,4,3] => [1,2,2,2,1]
[2,1,7,3,8,5,6,4] => [1,2,2,2,1]
[7,1,3,2,8,5,6,4] => [1,2,2,2,1]
[7,1,8,5,6,2,4,3] => [1,2,2,2,1]
[7,1,8,2,6,4,5,3] => [1,2,2,2,1]
[7,2,8,1,5,4,6,3] => [1,2,2,2,1]
[6,2,7,4,5,3,8,1] => [1,2,2,2,1]
[5,4,7,2,6,3,8,1] => [1,2,2,2,1]
[5,4,8,2,6,1,7,3] => [1,2,2,2,1]
[6,5,8,1,7,2,4,3] => [1,2,2,2,1]
[2,1,6,5,8,3,7,4] => [1,2,2,2,1]
[6,5,7,4,8,1,3,2] => [1,2,2,2,1]
[6,5,7,1,8,3,4,2] => [1,2,2,2,1]
[6,1,7,4,8,3,5,2] => [1,2,2,2,1]
[5,4,7,1,8,3,6,2] => [1,2,2,2,1]
[5,4,6,3,8,1,7,2] => [1,2,2,2,1]
[2,8,3,1,5,4,6,7] => [2,1,2,3]
[2,5,3,4,7,1,8,6] => [2,3,2,1]
[2,4,8,3,5,7,6,1] => [3,3,1,1]
[4,2,5,3,1,8,6,7] => [1,2,1,2,2]
[4,2,1,8,5,3,6,7] => [1,1,2,1,3]
[5,4,1,3,8,2,6,7] => [1,1,3,3]
[5,1,4,8,3,2,6,7] => [1,3,1,3]
[1,5,8,4,3,2,6,7] => [3,1,1,3]
[1,8,5,4,3,2,6,7] => [2,1,1,1,3]
[1,7,4,3,8,5,2,6] => [2,1,2,1,2]
[1,5,7,3,8,4,2,6] => [3,2,1,2]
[5,1,4,7,8,3,2,6] => [1,4,1,2]
[4,8,1,5,7,3,6,2] => [2,3,2,1]
[8,1,5,3,7,4,6,2] => [1,2,2,2,1]
[3,8,4,7,6,5,2,1] => [2,2,1,1,1,1]
[1,6,8,5,3,7,4,2] => [3,1,2,1,1]
[6,8,1,7,4,3,5,2] => [2,2,1,2,1]
[6,4,8,1,7,3,5,2] => [1,2,2,2,1]
[6,4,8,7,1,5,2,3] => [1,2,1,2,2]
[7,6,4,1,3,8,2,5] => [1,1,1,3,2]
[1,7,5,6,3,2,8,4] => [2,2,1,2,1]
[4,2,1,7,8,5,3,6] => [1,1,3,1,2]
[2,7,4,6,3,1,8,5] => [2,2,1,2,1]
[2,6,8,4,3,7,5,1] => [3,1,2,1,1]
[6,2,4,8,3,7,5,1] => [1,3,2,1,1]
[7,2,6,3,4,1,8,5] => [1,2,2,2,1]
[2,6,7,3,1,4,8,5] => [3,1,3,1]
[2,7,1,8,3,5,4,6] => [2,2,2,2]
[2,1,7,3,5,8,4,6] => [1,2,3,2]
[8,7,1,3,6,2,4,5] => [1,1,3,3]
[8,2,1,7,3,5,6,4] => [1,1,2,3,1]
[7,8,2,6,3,1,5,4] => [2,2,1,2,1]
[8,7,2,6,3,5,4,1] => [1,1,2,2,1,1]
[1,2,8,7,4,5,6,3] => [3,1,3,1]
[8,3,7,1,5,6,2,4] => [1,2,3,2]
[8,6,1,2,7,5,3,4] => [1,1,3,1,2]
[8,1,6,2,7,4,5,3] => [1,2,2,2,1]
[1,8,5,2,6,7,4,3] => [2,1,3,1,1]
[5,2,1,8,6,7,4,3] => [1,1,2,2,1,1]
[2,8,5,7,6,4,3,1] => [2,2,1,1,1,1]
[1,7,8,5,2,6,4,3] => [3,1,2,1,1]
[7,8,1,6,4,2,5,3] => [2,2,1,2,1]
[7,8,6,1,5,3,2,4] => [2,1,2,1,2]
[7,3,8,6,1,5,2,4] => [1,2,1,2,2]
[8,7,6,1,5,3,4,2] => [1,1,1,2,2,1]
[8,7,1,6,4,5,3,2] => [1,1,2,2,1,1]
[8,1,7,5,6,4,3,2] => [1,2,2,1,1,1]
[1,8,6,7,5,4,3,2] => [2,2,1,1,1,1]
[6,3,5,2,1,4,8,7] => [1,2,1,3,1]
[6,3,5,7,2,8,4,1] => [1,3,2,1,1]
[8,5,2,7,4,3,1,6] => [1,1,2,1,1,2]
[4,5,3,6,1,2,8,7] => [2,2,3,1]
[3,5,1,4,6,2,8,7] => [2,3,2,1]
[8,3,4,5,7,2,1,6] => [1,4,1,2]
[5,7,4,6,3,8,2,1] => [2,2,2,1,1]
[2,8,4,6,3,7,1,5] => [2,2,2,2]
[8,1,4,7,3,6,2,5] => [1,3,2,2]
[8,3,4,7,5,1,2,6] => [1,3,1,3]
[8,5,1,4,7,3,2,6] => [1,1,3,1,2]
[8,5,3,7,1,4,2,6] => [1,1,2,2,2]
[2,1,8,5,7,4,3,6] => [1,2,2,1,2]
[6,5,3,7,1,8,4,2] => [1,1,2,2,1,1]
[6,5,1,4,7,8,3,2] => [1,1,4,1,1]
[6,3,4,7,5,8,1,2] => [1,3,2,2]
[5,1,4,6,8,3,7,2] => [1,4,2,1]
[4,7,1,3,5,8,6,2] => [2,4,1,1]
[4,8,3,7,1,2,6,5] => [2,2,3,1]
[3,8,6,4,1,7,2,5] => [2,1,1,2,2]
[3,8,1,2,5,7,6,4] => [2,4,1,1]
[2,8,7,5,4,1,3,6] => [2,1,1,1,3]
[8,7,2,6,4,1,3,5] => [1,1,2,1,3]
[3,8,6,7,4,2,1,5] => [2,2,1,1,2]
[5,7,6,8,4,2,3,1] => [2,2,1,2,1]
[5,3,7,8,2,4,6,1] => [1,3,3,1]
[8,3,6,2,1,4,7,5] => [1,2,1,3,1]
[5,3,7,6,2,1,8,4] => [1,2,1,1,2,1]
[5,3,6,2,8,7,1,4] => [1,2,2,1,2]
[5,7,8,6,4,2,1,3] => [3,1,1,1,2]
[2,6,7,5,4,8,1,3] => [3,1,2,2]
[6,1,7,4,5,8,2,3] => [1,2,3,2]
[6,7,3,5,1,8,2,4] => [2,2,2,2]
[2,1,6,7,5,8,3,4] => [1,3,2,2]
[2,1,5,7,3,6,8,4] => [1,3,3,1]
[5,7,3,6,1,2,8,4] => [2,2,3,1]
[4,1,7,2,5,6,8,3] => [1,2,4,1]
[2,4,7,1,6,5,8,3] => [3,2,2,1]
[4,6,2,1,8,7,5,3] => [2,1,2,1,1,1]
[3,4,6,2,7,8,5,1] => [3,3,1,1]
[4,6,1,2,5,8,7,3] => [2,4,1,1]
[5,6,1,4,8,2,7,3] => [2,3,2,1]
[5,6,3,1,8,7,2,4] => [2,1,2,1,2]
[3,5,6,4,7,1,8,2] => [3,2,2,1]
[3,4,6,1,5,7,8,2] => [3,4,1]
[3,4,1,5,7,6,8,2] => [2,3,2,1]
[3,8,2,7,1,6,5,4] => [2,2,2,1,1]
[3,8,2,7,6,1,5,4] => [2,2,1,2,1]
[3,8,2,7,6,5,1,4] => [2,2,1,1,2]
[3,8,2,7,6,5,4,1] => [2,2,1,1,1,1]
[4,8,7,2,6,5,3,1] => [2,1,2,1,1,1]
[4,8,7,2,6,5,1,3] => [2,1,2,1,2]
[4,8,7,2,6,1,5,3] => [2,1,2,2,1]
[4,8,7,2,1,6,5,3] => [2,1,1,2,1,1]
[4,8,7,3,1,6,5,2] => [2,1,1,2,1,1]
[4,8,7,3,2,1,6,5] => [2,1,1,1,2,1]
[4,8,7,3,2,6,1,5] => [2,1,1,2,2]
[4,8,7,3,2,6,5,1] => [2,1,1,2,1,1]
[4,8,7,3,6,2,5,1] => [2,1,2,2,1]
[4,8,7,3,6,2,1,5] => [2,1,2,1,2]
[4,8,7,3,6,1,5,2] => [2,1,2,2,1]
[4,8,7,3,6,5,1,2] => [2,1,2,1,2]
[4,8,7,3,6,5,2,1] => [2,1,2,1,1,1]
[5,8,7,6,3,4,2,1] => [2,1,1,2,1,1]
[5,8,7,6,3,1,4,2] => [2,1,1,1,2,1]
[5,8,7,6,3,2,4,1] => [2,1,1,1,2,1]
[5,8,7,6,2,4,3,1] => [2,1,1,2,1,1]
[5,8,7,6,2,1,4,3] => [2,1,1,1,2,1]
[5,8,7,6,4,2,3,1] => [2,1,1,1,2,1]
[5,8,7,6,4,2,1,3] => [2,1,1,1,1,2]
[5,8,7,6,4,1,3,2] => [2,1,1,1,2,1]
[5,8,7,6,4,3,1,2] => [2,1,1,1,1,2]
[7,3,4,2,1,6,5,8] => [1,2,1,2,2]
[7,3,5,2,6,1,4,8] => [1,2,2,3]
[7,3,5,2,6,4,1,8] => [1,2,2,1,2]
[6,3,5,2,7,4,8,1] => [1,2,2,2,1]
[7,2,1,5,6,4,3,8] => [1,1,3,1,2]
[7,3,5,1,6,4,2,8] => [1,2,2,1,2]
[7,4,5,6,1,3,2,8] => [1,3,2,2]
[1,4,5,7,3,2,8,6] => [4,1,2,1]
[1,4,6,7,3,8,2,5] => [4,2,2]
[6,4,5,7,3,1,8,2] => [1,3,1,2,1]
[6,4,5,7,1,3,8,2] => [1,3,3,1]
[6,3,5,1,7,4,8,2] => [1,2,2,2,1]
[6,2,1,5,7,4,8,3] => [1,1,3,2,1]
[3,2,1,5,7,4,8,6] => [1,1,3,2,1]
[2,4,6,7,3,8,1,5] => [4,2,2]
[1,4,6,7,3,8,5,2] => [4,2,1,1]
[1,5,6,7,8,3,4,2] => [5,2,1]
[2,5,6,7,8,3,1,4] => [5,1,2]
[3,2,1,6,7,8,4,5] => [1,1,4,2]
[5,2,1,6,7,8,4,3] => [1,1,4,1,1]
[5,3,6,1,7,8,4,2] => [1,2,3,1,1]
[5,4,6,7,1,8,3,2] => [1,3,2,1,1]
[1,5,6,7,8,3,2,4] => [5,1,2]
[6,4,5,7,2,1,8,3] => [1,3,1,2,1]
[5,4,6,7,2,8,3,1] => [1,3,2,1,1]
[5,3,6,2,7,8,4,1] => [1,2,3,1,1]
[5,3,6,2,7,8,1,4] => [1,2,3,2]
[6,3,5,2,7,1,8,4] => [1,2,2,2,1]
[6,3,4,2,1,7,8,5] => [1,2,1,3,1]
[5,3,4,1,2,7,8,6] => [1,2,4,1]
[4,3,6,2,7,8,1,5] => [1,2,3,2]
[4,3,6,2,7,8,5,1] => [1,2,3,1,1]
[1,3,6,2,7,8,5,4] => [3,3,1,1]
[1,4,6,7,2,8,5,3] => [4,2,1,1]
[3,4,6,7,2,8,5,1] => [4,2,1,1]
[3,4,5,7,2,1,8,6] => [4,1,2,1]
[4,2,1,5,7,3,8,6] => [1,1,3,2,1]
[4,2,1,6,7,8,3,5] => [1,1,4,2]
[4,3,6,1,7,8,2,5] => [1,2,3,2]
[1,5,6,7,8,2,4,3] => [5,2,1]
[1,5,6,7,8,4,2,3] => [5,1,2]
[3,4,6,7,1,8,5,2] => [4,2,1,1]
[4,3,6,1,7,8,5,2] => [1,2,3,1,1]
[4,2,1,6,7,8,5,3] => [1,1,4,1,1]
[2,3,6,1,7,8,5,4] => [3,3,1,1]
[2,4,6,7,1,8,5,3] => [4,2,1,1]
[2,5,6,7,8,1,4,3] => [5,2,1]
[1,4,3,6,2,5,7,8] => [2,2,4]
[1,4,3,7,2,5,6,8] => [2,2,4]
[1,4,3,7,6,8,2,5] => [2,2,2,2]
[1,4,3,7,5,8,2,6] => [2,2,2,2]
[1,4,3,7,2,6,5,8] => [2,2,2,2]
[1,5,3,7,4,8,2,6] => [2,2,2,2]
[1,3,2,6,5,8,4,7] => [2,2,2,2]
[1,5,4,8,2,6,3,7] => [2,2,2,2]
[1,5,4,8,3,7,2,6] => [2,2,2,2]
[1,2,3,6,5,8,4,7] => [4,2,2]
[6,8,2,4,5,7,1,3] => [2,4,2]
[3,7,8,4,5,2,6,1] => [3,2,2,1]
[7,8,1,4,5,3,6,2] => [2,3,2,1]
[3,8,7,4,1,6,5,2] => [2,1,1,2,1,1]
[4,8,3,6,1,5,7,2] => [2,2,3,1]
[5,8,3,1,6,4,7,2] => [2,1,2,2,1]
[5,8,1,4,7,6,3,2] => [2,3,1,1,1]
[7,5,1,8,6,2,4,3] => [1,1,2,1,2,1]
[7,4,1,8,2,6,3,5] => [1,1,2,2,2]
[7,1,8,4,2,6,3,5] => [1,2,1,2,2]
[1,6,3,8,5,2,4,7] => [2,2,1,3]
[6,1,3,8,5,2,4,7] => [1,3,1,3]
[7,1,8,3,6,2,5,4] => [1,2,2,2,1]
[7,3,1,8,4,2,6,5] => [1,1,2,1,2,1]
[7,2,8,4,1,6,5,3] => [1,2,1,2,1,1]
[7,2,8,3,6,5,1,4] => [1,2,2,1,2]
[7,2,8,3,6,1,5,4] => [1,2,2,2,1]
[7,1,8,2,3,6,5,4] => [1,2,3,1,1]
[6,1,2,8,3,5,4,7] => [1,3,2,2]
[1,5,2,3,8,4,7,6] => [2,3,2,1]
[5,1,2,3,8,4,7,6] => [1,4,2,1]
[5,2,3,8,1,4,7,6] => [1,3,3,1]
[6,2,8,1,3,5,4,7] => [1,2,3,2]
[6,2,4,1,8,7,3,5] => [1,2,2,1,2]
[6,3,1,4,2,8,5,7] => [1,1,2,2,2]
[3,1,6,4,2,8,5,7] => [1,2,1,2,2]
[2,6,3,8,7,1,5,4] => [2,2,1,2,1]
[2,6,3,8,5,1,4,7] => [2,2,1,3]
[2,5,1,8,3,4,7,6] => [2,2,3,1]
[2,5,1,3,8,4,7,6] => [2,3,2,1]
[1,2,5,3,8,4,7,6] => [3,2,2,1]
[1,2,4,8,3,7,6,5] => [4,2,1,1]
[2,4,8,1,3,7,6,5] => [3,3,1,1]
[2,4,8,3,7,1,6,5] => [3,2,2,1]
[2,4,8,3,7,6,1,5] => [3,2,1,2]
[2,5,3,8,1,7,4,6] => [2,2,2,2]
[2,5,4,1,3,8,7,6] => [2,1,3,1,1]
[3,1,5,4,8,2,7,6] => [1,2,2,2,1]
[5,3,1,4,8,2,7,6] => [1,1,3,2,1]
[5,2,3,8,4,7,1,6] => [1,3,2,2]
[4,8,2,3,7,6,1,5] => [2,3,1,2]
[4,8,2,3,7,1,6,5] => [2,3,2,1]
[4,8,1,2,3,7,6,5] => [2,4,1,1]
[1,4,8,2,3,7,6,5] => [3,3,1,1]
[1,4,8,3,7,2,6,5] => [3,2,2,1]
[6,3,8,1,5,2,4,7] => [1,2,2,3]
[5,3,8,1,2,4,7,6] => [1,2,4,1]
[5,1,3,8,2,4,7,6] => [1,3,3,1]
[1,5,3,8,2,4,7,6] => [2,2,3,1]
[1,5,4,8,2,7,6,3] => [2,2,2,1,1]
[5,1,4,8,2,7,6,3] => [1,3,2,1,1]
[5,4,8,1,2,7,6,3] => [1,2,3,1,1]
[6,5,1,2,8,7,4,3] => [1,1,3,1,1,1]
[5,3,1,6,4,2,8,7] => [1,1,2,1,2,1]
[5,1,6,2,8,7,4,3] => [1,2,2,1,1,1]
[4,1,5,8,2,7,6,3] => [1,3,2,1,1]
[4,1,2,5,8,7,6,3] => [1,4,1,1,1]
[1,4,2,5,8,7,6,3] => [2,3,1,1,1]
[1,3,5,2,8,7,4,6] => [3,2,1,2]
[3,5,1,2,8,7,4,6] => [2,3,1,2]
[3,6,2,8,7,5,1,4] => [2,2,1,1,2]
[4,2,6,1,8,7,3,5] => [1,2,2,1,2]
[4,3,1,5,8,2,7,6] => [1,1,3,2,1]
[3,5,2,8,7,1,4,6] => [2,2,1,3]
[3,4,8,7,2,6,1,5] => [3,1,2,2]
[3,4,8,7,1,2,6,5] => [3,1,3,1]
[3,4,8,1,7,2,6,5] => [3,2,2,1]
[1,3,4,8,7,2,6,5] => [4,1,2,1]
[1,3,4,8,2,7,6,5] => [4,2,1,1]
[3,4,8,1,2,7,6,5] => [3,3,1,1]
[3,4,8,2,7,1,6,5] => [3,2,2,1]
[3,4,8,2,7,6,1,5] => [3,2,1,2]
[4,2,5,8,1,7,6,3] => [1,3,2,1,1]
[4,3,1,2,5,8,7,6] => [1,1,4,1,1]
[3,1,4,2,5,8,7,6] => [1,2,3,1,1]
[2,3,5,1,8,7,6,4] => [3,2,1,1,1]
[7,8,2,1,5,3,6,4] => [2,1,2,2,1]
[6,4,1,2,7,3,5,8] => [1,1,3,3]
[2,3,7,5,4,1,8,6] => [3,1,1,2,1]
[6,3,1,5,4,2,7,8] => [1,1,2,1,3]
[7,8,1,5,4,2,6,3] => [2,2,1,2,1]
[7,8,3,5,4,1,6,2] => [2,2,1,2,1]
[7,8,2,5,4,1,3,6] => [2,2,1,3]
[7,8,2,5,4,6,1,3] => [2,2,2,2]
[6,2,1,5,4,7,3,8] => [1,1,2,2,2]
[5,3,6,1,4,7,8,2] => [1,2,4,1]
[5,3,6,2,4,7,1,8] => [1,2,3,2]
[6,4,2,1,7,3,8,5] => [1,1,1,2,2,1]
[4,3,7,5,8,6,1,2] => [1,2,2,1,2]
[4,2,7,1,8,3,6,5] => [1,2,2,2,1]
[3,2,6,7,4,8,1,5] => [1,3,2,2]
[3,1,6,7,4,8,5,2] => [1,3,2,1,1]
[1,7,6,5,3,8,4,2] => [2,1,1,2,1,1]
[2,7,6,5,3,8,1,4] => [2,1,1,2,2]
[1,7,6,5,2,4,8,3] => [2,1,1,3,1]
[2,7,6,5,3,1,4,8] => [2,1,1,1,3]
[2,7,1,4,8,3,5,6] => [2,3,3]
[3,7,6,4,8,5,1,2] => [2,1,2,1,2]
[5,7,6,3,8,4,1,2] => [2,1,2,1,2]
[5,1,6,2,4,8,3,7] => [1,2,3,2]
[4,7,6,5,2,1,3,8] => [2,1,1,1,3]
[4,7,6,5,2,8,1,3] => [2,1,1,2,2]
[4,7,6,5,1,8,3,2] => [2,1,1,2,1,1]
[1,7,6,5,2,8,3,4] => [2,1,1,2,2]
[1,7,6,5,3,2,8,4] => [2,1,1,1,2,1]
[4,7,6,5,1,2,8,3] => [2,1,1,3,1]
[4,7,6,5,3,1,8,2] => [2,1,1,1,2,1]
[6,1,3,5,4,8,7,2] => [1,3,2,1,1]
[5,2,6,3,4,1,7,8] => [1,2,2,3]
[5,1,6,2,4,7,8,3] => [1,2,4,1]
[1,2,6,3,4,8,7,5] => [3,3,1,1]
[1,7,2,4,8,3,6,5] => [2,3,2,1]
[6,1,4,2,8,3,5,7] => [1,2,2,3]
[4,1,8,2,6,3,5,7] => [1,2,2,3]
[4,7,2,1,5,3,6,8] => [2,1,2,3]
[4,7,1,6,2,3,8,5] => [2,2,3,1]
[1,7,2,6,8,3,5,4] => [2,3,2,1]
[1,2,6,7,4,8,5,3] => [4,2,1,1]
[3,1,6,7,4,2,8,5] => [1,3,1,2,1]
[3,2,8,5,4,6,1,7] => [1,2,1,2,2]
[4,7,6,3,5,8,1,2] => [2,1,3,2]
[4,7,1,2,5,3,8,6] => [2,3,2,1]
[3,7,6,5,2,4,1,8] => [2,1,1,2,2]
[3,7,6,5,1,4,8,2] => [2,1,1,3,1]
[3,7,6,5,2,1,8,4] => [2,1,1,1,2,1]
[1,7,6,5,8,2,4,3] => [2,1,2,2,1]
[3,7,6,5,8,1,4,2] => [2,1,2,2,1]
[3,7,6,5,1,2,4,8] => [2,1,1,4]
[3,1,6,8,4,2,5,7] => [1,3,1,3]
[4,7,6,8,3,5,1,2] => [2,2,2,2]
[2,7,6,5,1,4,3,8] => [2,1,1,2,2]
[2,7,6,5,8,1,3,4] => [2,1,2,3]
[2,7,6,5,8,4,1,3] => [2,1,2,1,2]
[6,3,2,1,7,4,8,5] => [1,1,1,2,2,1]
[4,2,1,7,3,5,8,6] => [1,1,2,3,1]
[7,3,1,5,4,2,8,6] => [1,1,2,1,2,1]
[8,4,1,5,2,7,6,3] => [1,1,2,2,1,1]
[8,2,5,1,3,7,6,4] => [1,2,3,1,1]
[4,3,7,2,1,5,8,6] => [1,2,1,3,1]
[6,3,7,4,2,1,8,5] => [1,2,1,1,2,1]
[4,7,2,5,3,1,8,6] => [2,2,1,2,1]
[2,7,5,4,1,3,8,6] => [2,1,1,3,1]
[7,5,4,3,2,1,8,6] => [1,1,1,1,1,2,1]
[8,5,3,2,1,7,6,4] => [1,1,1,1,2,1,1]
[6,5,2,1,8,4,3,7] => [1,1,1,2,1,2]
[4,6,3,2,8,1,5,7] => [2,1,2,3]
[5,7,4,3,2,8,1,6] => [2,1,1,2,2]
[1,7,6,2,4,8,3,5] => [2,1,3,2]
[2,7,3,6,4,8,1,5] => [2,2,2,2]
[6,2,7,5,3,8,1,4] => [1,2,1,2,2]
[7,1,8,5,3,6,4,2] => [1,2,1,2,1,1]
[5,8,1,6,2,7,4,3] => [2,2,2,1,1]
[1,8,6,2,3,7,5,4] => [2,1,3,1,1]
[1,8,6,3,2,7,5,4] => [2,1,1,2,1,1]
[5,8,3,2,7,1,6,4] => [2,1,2,2,1]
[8,7,3,1,6,5,4,2] => [1,1,1,2,1,1,1]
[8,7,2,6,1,5,4,3] => [1,1,2,2,1,1]
[1,8,5,7,4,3,6,2] => [2,2,1,2,1]
[1,8,5,7,2,4,6,3] => [2,2,3,1]
[3,8,6,1,7,2,5,4] => [2,1,2,2,1]
[7,2,8,5,6,1,4,3] => [1,2,2,2,1]
[6,3,7,5,8,2,1,4] => [1,2,2,1,2]
[3,7,2,6,8,4,1,5] => [2,3,1,2]
[3,6,5,8,1,4,2,7] => [2,2,2,2]
[2,6,5,8,4,1,3,7] => [2,2,1,3]
[6,5,4,8,3,2,1,7] => [1,1,2,1,1,2]
[8,4,3,7,2,1,6,5] => [1,1,2,1,2,1]
[8,2,4,7,1,3,6,5] => [1,3,3,1]
[6,2,5,8,1,4,3,7] => [1,3,2,2]
[4,3,6,8,2,1,5,7] => [1,3,1,3]
[6,3,5,1,8,4,2,7] => [1,2,2,1,2]
[8,4,1,5,7,3,6,2] => [1,1,3,2,1]
[6,4,2,5,8,3,1,7] => [1,1,3,1,2]
[5,4,1,6,8,2,3,7] => [1,1,3,3]
[6,5,2,1,7,8,3,4] => [1,1,1,3,2]
[6,3,7,4,8,5,2,1] => [1,2,2,1,1,1]
[4,7,2,5,8,6,3,1] => [2,3,1,1,1]
[6,3,1,8,4,7,5,2] => [1,1,2,2,1,1]
[6,4,2,8,7,3,5,1] => [1,1,2,1,2,1]
[6,5,3,8,7,4,1,2] => [1,1,2,1,1,2]
[5,4,8,1,7,6,2,3] => [1,2,2,1,2]
[5,2,8,1,7,3,6,4] => [1,2,2,2,1]
[6,4,8,2,1,7,5,3] => [1,2,1,2,1,1]
[3,6,8,1,4,7,5,2] => [3,3,1,1]
[5,7,3,8,1,6,4,2] => [2,2,2,1,1]
[6,4,7,8,1,5,3,2] => [1,3,2,1,1]
[2,5,8,7,1,3,6,4] => [3,1,3,1]
[5,3,8,7,2,1,6,4] => [1,2,1,1,2,1]
[8,3,7,6,1,5,4,2] => [1,2,1,2,1,1]
[8,2,7,6,5,1,4,3] => [1,2,1,1,2,1]
[4,3,8,7,6,2,1,5] => [1,2,1,1,1,2]
[2,4,8,7,6,1,3,5] => [3,1,1,3]
[3,5,8,7,2,6,1,4] => [3,1,2,2]
[4,7,3,8,6,5,1,2] => [2,2,1,1,2]
[7,5,8,6,4,3,2,1] => [1,2,1,1,1,1,1]
[5,8,7,3,6,4,2,1] => [2,1,2,1,1,1]
[4,8,7,6,2,5,3,1] => [2,1,1,2,1,1]
[3,8,7,6,5,1,4,2] => [2,1,1,1,2,1]
[2,8,7,6,5,4,1,3] => [2,1,1,1,1,2]
[3,6,5,1,2,4,8,7] => [2,1,4,1]
[3,7,5,8,2,4,1,6] => [2,2,2,2]
[3,8,5,7,2,4,1,6] => [2,2,2,2]
[5,1,7,8,4,3,2,6] => [1,3,1,1,2]
[5,1,2,6,4,3,8,7] => [1,3,1,2,1]
[6,1,2,5,4,3,8,7] => [1,3,1,2,1]
[5,1,2,4,6,3,8,7] => [1,4,2,1]
[4,1,2,6,5,3,8,7] => [1,3,1,2,1]
[4,1,5,7,8,3,2,6] => [1,4,1,2]
[4,1,5,8,7,3,2,6] => [1,3,1,1,2]
[4,7,1,8,3,6,2,5] => [2,2,2,2]
[4,1,7,8,5,2,3,6] => [1,3,1,3]
[5,1,7,4,8,2,3,6] => [1,2,2,3]
[7,5,3,8,1,4,2,6] => [1,1,2,2,2]
[2,1,5,8,7,3,4,6] => [1,3,1,3]
[5,1,8,4,7,2,3,6] => [1,2,2,3]
[4,1,8,7,5,2,3,6] => [1,2,1,1,3]
[4,7,1,6,3,2,8,5] => [2,2,1,2,1]
[6,1,2,3,7,5,8,4] => [1,4,2,1]
[7,1,2,3,8,6,5,4] => [1,4,1,1,1]
[7,1,2,3,5,8,6,4] => [1,5,1,1]
[6,8,1,4,3,7,2,5] => [2,2,2,2]
[8,7,3,2,4,1,6,5] => [1,1,1,2,2,1]
[2,1,7,3,4,8,6,5] => [1,2,3,1,1]
[7,8,3,2,4,1,6,5] => [2,1,2,2,1]
[6,7,1,4,3,8,2,5] => [2,2,2,2]
[8,1,2,3,5,7,6,4] => [1,5,1,1]
[8,1,2,3,6,7,5,4] => [1,5,1,1]
[7,1,2,3,6,8,5,4] => [1,5,1,1]
[7,1,2,3,8,5,6,4] => [1,4,2,1]
[8,1,2,3,7,5,6,4] => [1,4,2,1]
[8,1,2,3,6,5,7,4] => [1,4,2,1]
[7,1,8,5,4,3,2,6] => [1,2,1,1,1,2]
[7,8,2,6,3,4,1,5] => [2,2,2,2]
[6,8,2,7,3,4,1,5] => [2,2,2,2]
[6,7,2,8,3,4,1,5] => [2,2,2,2]
[3,8,7,1,4,2,6,5] => [2,1,2,2,1]
[3,7,8,1,4,2,6,5] => [3,2,2,1]
[3,6,8,1,4,2,7,5] => [3,2,2,1]
[3,5,7,8,2,4,1,6] => [4,2,2]
[3,6,7,1,4,2,8,5] => [3,2,2,1]
[7,6,2,8,3,1,4,5] => [1,1,2,1,3]
[8,6,2,7,3,1,4,5] => [1,1,2,1,3]
[8,1,7,5,4,3,2,6] => [1,2,1,1,1,2]
[8,1,7,4,5,3,2,6] => [1,2,2,1,2]
[5,8,3,7,1,4,2,6] => [2,2,2,2]
[2,1,7,3,4,6,8,5] => [1,2,4,1]
[6,7,3,2,4,1,8,5] => [2,1,2,2,1]
[8,7,2,4,3,6,1,5] => [1,1,2,2,2]
[7,1,2,3,5,6,8,4] => [1,6,1]
[6,1,2,3,8,7,4,5] => [1,4,1,2]
[5,1,2,3,7,8,6,4] => [1,5,1,1]
[5,1,2,3,8,7,6,4] => [1,4,1,1,1]
[5,1,2,3,8,6,7,4] => [1,4,2,1]
[6,1,2,3,5,8,7,4] => [1,5,1,1]
[8,6,2,4,3,1,7,5] => [1,1,2,1,2,1]
[7,6,3,2,4,8,1,5] => [1,1,1,3,2]
[2,1,6,3,4,8,7,5] => [1,2,3,1,1]
[8,6,3,2,4,7,1,5] => [1,1,1,3,2]
[7,6,2,4,3,1,8,5] => [1,1,2,1,2,1]
[6,1,2,3,5,7,8,4] => [1,6,1]
[5,1,2,3,6,8,7,4] => [1,5,1,1]
[7,8,1,2,6,3,5,4] => [2,3,2,1]
[1,4,8,2,7,3,5,6] => [3,2,3]
[1,2,8,5,4,7,3,6] => [3,1,2,2]
[1,3,8,5,4,2,7,6] => [3,1,1,2,1]
[2,3,6,8,4,7,1,5] => [4,2,2]
[1,3,6,8,4,7,5,2] => [4,2,1,1]
[2,4,8,1,7,3,6,5] => [3,2,2,1]
[3,4,8,5,7,6,1,2] => [3,2,1,2]
[1,2,6,8,4,5,7,3] => [4,3,1]
[7,5,1,2,4,3,6,8] => [1,1,3,3]
[7,4,6,1,5,2,3,8] => [1,2,2,3]
[7,1,4,2,6,3,5,8] => [1,2,2,3]
[6,8,1,4,7,2,3,5] => [2,3,3]
[1,6,4,2,8,3,5,7] => [2,1,2,3]
[1,6,3,8,5,4,2,7] => [2,2,1,1,2]
[6,8,1,7,3,5,4,2] => [2,2,2,1,1]
[7,1,3,6,5,4,2,8] => [1,3,1,1,2]
[7,3,1,6,5,4,2,8] => [1,1,2,1,1,2]
[7,2,1,4,6,3,5,8] => [1,1,3,3]
[7,2,3,6,5,1,4,8] => [1,3,1,3]
[7,1,2,3,6,5,4,8] => [1,4,1,2]
[6,8,1,2,7,3,5,4] => [2,3,2,1]
[1,6,2,3,8,5,4,7] => [2,3,1,2]
[1,5,8,2,7,6,3,4] => [3,2,1,2]
[5,1,8,2,7,6,3,4] => [1,2,2,1,2]
[5,8,2,7,6,3,4,1] => [2,2,1,2,1]
[6,2,8,1,7,3,5,4] => [1,2,2,2,1]
[6,8,2,1,7,4,3,5] => [2,1,2,1,2]
[3,6,4,1,2,8,5,7] => [2,1,3,2]
[2,1,6,3,8,5,4,7] => [1,2,2,1,2]
[2,5,1,8,7,6,3,4] => [2,2,1,1,2]
[2,5,3,8,7,4,6,1] => [2,2,1,2,1]
[1,2,5,3,8,7,4,6] => [3,2,1,2]
[2,4,8,7,6,5,1,3] => [3,1,1,1,2]
[2,5,3,8,7,1,6,4] => [2,2,1,2,1]
[2,5,8,4,1,7,6,3] => [3,1,2,1,1]
[3,5,8,7,1,4,2,6] => [3,1,2,2]
[5,3,8,4,1,7,6,2] => [1,2,1,2,1,1]
[4,2,8,7,6,3,5,1] => [1,2,1,1,2,1]
[4,2,8,7,6,5,3,1] => [1,2,1,1,1,1,1]
[4,1,8,7,6,5,3,2] => [1,2,1,1,1,1,1]
[4,3,8,7,6,5,1,2] => [1,2,1,1,1,2]
[6,3,1,8,7,2,5,4] => [1,1,2,1,2,1]
[5,8,3,7,6,1,4,2] => [2,2,1,2,1]
[5,1,3,8,7,6,2,4] => [1,3,1,1,2]
[1,5,3,8,7,6,2,4] => [2,2,1,1,2]
[1,5,8,4,7,2,6,3] => [3,2,2,1]
[5,1,8,4,7,2,6,3] => [1,2,2,2,1]
[5,8,7,4,6,1,2,3] => [2,1,2,3]
[6,8,5,1,2,4,7,3] => [2,1,4,1]
[5,6,3,1,2,4,8,7] => [2,1,4,1]
[5,6,2,4,3,1,8,7] => [2,2,1,2,1]
[5,6,1,2,4,3,8,7] => [2,3,2,1]
[4,5,8,1,7,2,3,6] => [3,2,3]
[4,5,8,1,7,2,6,3] => [3,2,2,1]
[1,3,2,5,8,7,4,6] => [2,3,1,2]
[3,5,1,8,7,4,6,2] => [2,2,1,2,1]
[3,5,1,8,7,2,6,4] => [2,2,1,2,1]
[4,3,6,1,2,8,5,7] => [1,2,3,2]
[4,5,8,3,1,7,2,6] => [3,1,2,2]
[4,5,2,8,7,1,3,6] => [2,2,1,3]
[3,2,5,8,7,1,6,4] => [1,3,1,2,1]
[3,4,8,7,6,2,1,5] => [3,1,1,1,2]
[3,1,4,8,7,6,2,5] => [1,3,1,1,2]
[3,4,8,7,6,5,1,2] => [3,1,1,1,2]
[1,3,4,8,7,6,2,5] => [4,1,1,2]
[3,4,8,7,6,2,5,1] => [3,1,1,2,1]
[3,2,5,8,7,4,6,1] => [1,3,1,2,1]
[4,5,8,3,1,7,6,2] => [3,1,2,1,1]
[2,1,3,5,8,7,4,6] => [1,4,1,2]
[1,2,7,5,8,6,4,3] => [3,2,1,1,1]
[7,1,4,8,2,6,5,3] => [1,3,2,1,1]
[6,8,1,3,7,5,2,4] => [2,3,1,2]
[3,7,8,1,2,6,5,4] => [3,3,1,1]
[1,3,7,8,2,6,5,4] => [4,2,1,1]
[2,3,7,8,1,6,5,4] => [4,2,1,1]
[2,7,8,1,3,6,5,4] => [3,3,1,1]
[8,1,2,6,7,3,5,4] => [1,4,2,1]
[8,1,2,6,7,5,3,4] => [1,4,1,2]
[8,2,5,7,1,3,6,4] => [1,3,3,1]
[2,8,1,6,7,3,5,4] => [2,3,2,1]
[2,6,8,3,7,1,5,4] => [3,2,2,1]
[2,8,6,4,7,1,5,3] => [2,1,2,2,1]
[6,8,3,4,1,7,5,2] => [2,2,2,1,1]
[6,8,3,7,4,1,5,2] => [2,2,1,2,1]
[2,6,8,3,7,5,1,4] => [3,2,1,2]
[2,8,1,6,7,5,3,4] => [2,3,1,2]
[8,2,5,7,1,6,3,4] => [1,3,2,2]
[8,4,7,2,3,6,1,5] => [1,2,3,2]
[8,5,7,4,2,6,1,3] => [1,2,1,2,2]
[8,3,5,7,4,1,6,2] => [1,3,1,2,1]
[8,5,2,4,7,1,6,3] => [1,1,3,2,1]
[8,2,3,5,7,1,6,4] => [1,4,2,1]
[8,2,4,7,3,6,1,5] => [1,3,2,2]
[8,2,7,1,4,6,3,5] => [1,2,3,2]
[8,7,1,2,4,6,3,5] => [1,1,4,2]
[8,7,1,4,6,2,3,5] => [1,1,3,3]
[8,4,7,1,3,6,2,5] => [1,2,3,2]
[1,6,8,3,7,2,5,4] => [3,2,2,1]
[8,3,5,7,1,2,6,4] => [1,3,3,1]
[5,8,7,1,3,6,2,4] => [2,1,3,2]
[8,5,4,7,1,6,2,3] => [1,1,2,2,2]
[8,5,4,7,1,2,6,3] => [1,1,2,3,1]
[8,5,1,4,7,2,6,3] => [1,1,3,2,1]
[1,4,6,8,2,7,5,3] => [4,2,1,1]
[1,6,5,8,2,7,4,3] => [2,2,2,1,1]
[8,5,6,3,1,7,4,2] => [1,2,1,2,1,1]
[5,6,2,8,1,7,4,3] => [2,2,2,1,1]
[1,8,4,5,7,2,6,3] => [2,3,2,1]
[5,8,7,3,6,1,2,4] => [2,1,2,3]
[8,3,5,7,1,6,2,4] => [1,3,2,2]
[1,6,8,3,7,5,2,4] => [3,2,1,2]
[6,3,8,2,7,5,1,4] => [1,2,2,1,2]
[6,8,4,2,7,1,5,3] => [2,1,2,2,1]
[8,6,4,7,3,1,5,2] => [1,1,2,1,2,1]
[8,4,5,7,3,1,6,2] => [1,3,1,2,1]
[8,4,2,5,7,1,6,3] => [1,1,3,2,1]
[8,3,4,7,2,6,1,5] => [1,3,2,2]
[8,7,1,3,4,6,2,5] => [1,1,4,2]
[8,3,7,2,4,6,1,5] => [1,2,3,2]
[2,8,4,5,7,1,6,3] => [2,3,2,1]
[8,7,3,4,5,1,6,2] => [1,1,3,2,1]
[8,7,4,5,2,6,1,3] => [1,1,2,2,2]
[5,8,7,2,3,6,1,4] => [2,1,3,2]
[8,7,2,3,4,6,1,5] => [1,1,4,2]
[8,7,2,3,6,1,4,5] => [1,1,3,3]
[1,3,2,8,5,4,7,6] => [2,2,1,2,1]
[4,2,8,5,3,7,1,6] => [1,2,1,2,2]
[5,2,1,8,4,3,7,6] => [1,1,2,1,2,1]
[6,2,8,4,3,7,5,1] => [1,2,1,2,1,1]
[7,2,8,4,3,1,6,5] => [1,2,1,1,2,1]
[7,3,4,8,2,1,6,5] => [1,3,1,2,1]
[6,3,4,8,2,7,5,1] => [1,3,2,1,1]
[5,3,4,1,8,2,7,6] => [1,2,2,2,1]
[8,1,4,5,2,3,7,6] => [1,3,3,1]
[8,1,5,4,3,2,7,6] => [1,2,1,1,2,1]
[3,5,4,2,8,1,7,6] => [2,1,2,2,1]
[4,5,3,2,8,7,1,6] => [2,1,2,1,2]
[6,4,3,2,8,7,5,1] => [1,1,1,2,1,1,1]
[6,5,3,2,1,7,8,4] => [1,1,1,1,3,1]
[5,6,3,2,7,8,4,1] => [2,1,3,1,1]
[4,1,6,3,2,7,8,5] => [1,2,1,3,1]
[3,6,4,2,7,8,1,5] => [2,1,3,2]
[8,1,6,4,3,7,2,5] => [1,2,1,2,2]
[8,1,7,4,3,6,5,2] => [1,2,1,2,1,1]
[2,7,4,1,3,6,5,8] => [2,1,3,2]
[3,7,4,2,6,1,5,8] => [2,1,2,3]
[4,1,7,3,2,6,5,8] => [1,2,1,2,2]
[5,7,3,2,6,4,8,1] => [2,1,2,2,1]
[6,7,3,2,5,4,1,8] => [2,1,2,1,2]
[7,6,3,2,1,5,4,8] => [1,1,1,1,2,2]
[4,7,5,6,2,3,8,1] => [2,2,3,1]
[3,1,7,5,6,2,4,8] => [1,2,2,3]
[2,7,5,6,1,3,4,8] => [2,2,4]
[2,6,5,7,1,3,8,4] => [2,2,3,1]
[4,6,5,7,2,8,1,3] => [2,2,2,2]
[5,6,4,7,2,8,3,1] => [2,2,2,1,1]
[6,5,4,1,7,2,8,3] => [1,1,1,2,2,1]
[7,5,4,6,2,1,8,3] => [1,1,2,1,2,1]
[6,4,5,7,1,8,2,3] => [1,3,2,2]
[5,4,6,1,7,8,2,3] => [1,2,3,2]
[8,1,5,6,7,2,3,4] => [1,4,3]
[2,1,4,6,8,7,3,5] => [1,4,1,2]
[3,4,6,8,7,1,2,5] => [4,1,3]
[4,3,1,6,8,7,2,5] => [1,1,3,1,2]
[5,3,6,8,7,2,4,1] => [1,3,1,2,1]
[6,3,5,1,8,7,2,4] => [1,2,2,1,2]
[7,3,5,8,6,2,1,4] => [1,3,1,1,2]
[7,2,8,5,6,3,1,4] => [1,2,2,1,2]
[6,2,8,5,1,7,3,4] => [1,2,1,2,2]
[4,2,1,8,6,7,3,5] => [1,1,2,2,2]
[1,3,2,8,6,7,4,5] => [2,2,2,2]
[2,3,8,6,7,1,4,5] => [3,2,3]
[8,1,3,2,6,7,4,5] => [1,2,3,2]
[2,3,8,7,1,6,5,4] => [3,1,2,1,1]
[4,2,8,7,6,1,5,3] => [1,2,1,1,2,1]
[5,2,8,7,6,4,1,3] => [1,2,1,1,1,2]
[7,2,1,8,6,5,4,3] => [1,1,2,1,1,1,1]
[7,3,6,1,8,5,4,2] => [1,2,2,1,1,1]
[6,3,7,8,5,4,2,1] => [1,3,1,1,1,1]
[5,3,7,8,6,4,1,2] => [1,3,1,1,2]
[4,3,1,7,8,6,5,2] => [1,1,3,1,1,1]
[3,4,7,8,6,1,5,2] => [4,1,2,1]
[8,1,5,7,6,2,4,3] => [1,3,1,2,1]
[3,5,7,6,8,1,4,2] => [3,2,2,1]
[4,5,7,6,8,3,1,2] => [3,2,1,2]
[5,4,1,7,6,8,3,2] => [1,1,2,2,1,1]
[6,4,7,5,8,3,2,1] => [1,2,2,1,1,1]
[7,4,6,5,1,8,3,2] => [1,2,1,2,1,1]
[7,5,6,4,3,1,8,2] => [1,2,1,1,2,1]
[6,5,1,7,4,3,8,2] => [1,1,2,1,2,1]
[4,6,7,5,3,8,1,2] => [3,1,2,2]
[3,6,7,5,1,4,8,2] => [3,1,3,1]
[8,1,6,7,5,4,2,3] => [1,3,1,1,2]
[8,1,7,6,5,4,3,2] => [1,2,1,1,1,1,1]
[2,7,6,1,5,4,3,8] => [2,1,2,1,2]
[3,7,6,5,1,4,2,8] => [2,1,1,2,2]
[4,7,6,5,3,1,2,8] => [2,1,1,1,3]
[8,6,4,3,1,5,7,2] => [1,1,1,1,3,1]
[8,6,4,1,5,2,7,3] => [1,1,1,2,2,1]
[8,6,5,1,3,2,7,4] => [1,1,1,2,2,1]
[8,6,3,1,7,2,4,5] => [1,1,1,2,3]
[8,7,3,1,5,2,4,6] => [1,1,1,2,3]
[5,3,1,7,2,4,6,8] => [1,1,2,4]
[8,7,1,2,4,5,3,6] => [1,1,4,2]
[8,6,1,2,4,7,3,5] => [1,1,4,2]
[8,5,1,2,6,7,3,4] => [1,1,4,2]
[8,5,1,6,4,2,7,3] => [1,1,2,1,2,1]
[8,5,1,3,6,4,7,2] => [1,1,3,2,1]
[8,6,1,5,3,4,7,2] => [1,1,2,3,1]
[8,6,1,5,2,4,7,3] => [1,1,2,3,1]
[8,6,1,2,5,7,3,4] => [1,1,4,2]
[8,6,1,2,7,4,3,5] => [1,1,3,1,2]
[8,7,1,2,5,4,3,6] => [1,1,3,1,2]
[5,1,4,2,3,8,6,7] => [1,2,3,2]
[5,1,4,2,7,3,6,8] => [1,2,2,3]
[7,1,5,8,2,6,3,4] => [1,3,2,2]
[5,7,8,1,2,4,6,3] => [3,4,1]
[5,7,8,1,3,4,6,2] => [3,4,1]
[5,8,1,7,3,4,6,2] => [2,2,3,1]
[8,1,5,7,2,4,6,3] => [1,3,3,1]
[8,4,1,2,7,6,3,5] => [1,1,3,1,2]
[1,4,2,3,8,7,5,6] => [2,3,1,2]
[1,4,2,7,6,3,5,8] => [2,2,1,3]
[6,1,2,8,7,5,3,4] => [1,3,1,1,2]
[6,1,2,4,8,7,5,3] => [1,4,1,1,1]
[3,1,8,4,6,7,5,2] => [1,2,3,1,1]
[3,1,7,6,4,8,5,2] => [1,2,1,2,1,1]
[7,1,2,4,6,8,5,3] => [1,5,1,1]
[7,1,2,6,8,5,3,4] => [1,4,1,2]
[6,1,2,7,8,5,3,4] => [1,4,1,2]
[6,1,2,7,4,8,5,3] => [1,3,2,1,1]
[3,1,6,4,7,8,5,2] => [1,2,3,1,1]
[5,7,1,3,8,4,6,2] => [2,3,2,1]
[5,7,1,8,4,2,6,3] => [2,2,1,2,1]
[7,1,5,3,2,8,6,4] => [1,2,1,2,1,1]
[7,1,4,5,2,8,6,3] => [1,3,2,1,1]
[4,7,3,1,5,8,6,2] => [2,1,3,1,1]
[4,8,7,3,1,5,6,2] => [2,1,1,3,1]
[8,1,7,4,5,2,6,3] => [1,2,2,2,1]
[8,1,7,5,3,2,6,4] => [1,2,1,1,2,1]
[8,3,7,1,2,6,4,5] => [1,2,3,2]
[3,1,2,8,4,7,5,6] => [1,3,2,2]
[3,1,2,8,6,4,5,7] => [1,3,1,3]
[3,1,7,2,6,4,5,8] => [1,2,2,3]
[1,4,2,3,8,6,5,7] => [2,3,1,2]
[1,4,2,3,8,5,7,6] => [2,3,2,1]
[5,8,1,7,2,4,6,3] => [2,2,3,1]
[5,8,1,3,4,7,6,2] => [2,4,1,1]
[3,1,8,6,4,7,5,2] => [1,2,1,2,1,1]
[8,1,2,6,7,4,5,3] => [1,4,2,1]
[6,1,2,8,7,3,5,4] => [1,3,1,2,1]
[1,2,3,5,8,4,7,6] => [5,2,1]
[1,2,3,5,8,6,4,7] => [5,1,2]
[7,1,2,8,3,6,5,4] => [1,3,2,1,1]
[7,1,2,8,6,4,5,3] => [1,3,1,2,1]
[3,1,7,8,4,6,5,2] => [1,3,2,1,1]
[3,1,8,7,6,4,5,2] => [1,2,1,1,2,1]
[8,1,2,7,4,6,5,3] => [1,3,2,1,1]
[8,1,2,7,3,6,5,4] => [1,3,2,1,1]
[1,2,3,5,8,7,4,6] => [5,1,2]
[1,2,3,6,8,5,4,7] => [5,1,2]
[7,8,5,6,3,1,4,2] => [2,2,1,2,1]
[7,8,5,3,6,1,2,4] => [2,1,2,3]
[7,5,6,3,1,4,2,8] => [1,2,1,2,2]
[7,5,8,3,1,4,2,6] => [1,2,1,2,2]
[7,8,5,3,1,4,2,6] => [2,1,1,2,2]
[7,8,5,3,1,6,2,4] => [2,1,1,2,2]
[7,8,5,3,1,6,4,2] => [2,1,1,2,1,1]
[7,8,5,3,6,1,4,2] => [2,1,2,2,1]
[7,8,5,3,6,4,1,2] => [2,1,2,1,2]
[7,8,5,3,4,1,6,2] => [2,1,2,2,1]
[7,8,5,3,1,4,6,2] => [2,1,1,3,1]
[7,8,5,3,1,2,6,4] => [2,1,1,3,1]
[7,5,3,8,1,2,6,4] => [1,1,2,3,1]
[7,5,8,3,4,1,6,2] => [1,2,2,2,1]
[7,5,8,3,4,6,1,2] => [1,2,3,2]
[7,5,6,3,4,1,8,2] => [1,2,2,2,1]
[7,5,6,3,1,4,8,2] => [1,2,1,3,1]
[7,5,6,3,1,2,8,4] => [1,2,1,3,1]
[7,5,3,6,1,2,8,4] => [1,1,2,3,1]
[7,5,3,4,1,2,8,6] => [1,1,2,3,1]
[7,5,3,1,4,2,6,8] => [1,1,1,2,3]
[7,5,3,1,4,2,8,6] => [1,1,1,2,2,1]
[7,5,3,1,6,2,8,4] => [1,1,1,2,2,1]
[7,5,3,1,6,4,8,2] => [1,1,1,2,2,1]
[7,5,3,6,1,4,8,2] => [1,1,2,3,1]
[7,5,3,6,4,1,8,2] => [1,1,2,1,2,1]
[7,5,3,6,4,8,1,2] => [1,1,2,2,2]
[7,5,3,8,4,6,1,2] => [1,1,2,2,2]
[7,5,3,8,1,4,6,2] => [1,1,2,3,1]
[7,5,3,1,8,4,6,2] => [1,1,1,2,2,1]
[7,5,3,1,8,2,6,4] => [1,1,1,2,2,1]
[7,5,3,1,8,2,4,6] => [1,1,1,2,3]
[7,5,3,1,6,2,4,8] => [1,1,1,2,3]
[7,5,3,1,6,4,2,8] => [1,1,1,2,1,2]
[7,5,3,1,8,4,2,6] => [1,1,1,2,1,2]
[7,5,3,1,8,6,2,4] => [1,1,1,2,1,2]
[7,5,3,8,1,6,4,2] => [1,1,2,2,1,1]
[7,5,3,8,6,1,4,2] => [1,1,2,1,2,1]
[7,5,3,8,6,4,1,2] => [1,1,2,1,1,2]
[7,5,8,3,6,4,1,2] => [1,2,2,1,2]
[7,5,8,3,6,1,4,2] => [1,2,2,2,1]
[7,5,8,3,1,6,4,2] => [1,2,1,2,1,1]
[7,5,8,3,1,6,2,4] => [1,2,1,2,2]
[7,5,3,6,1,4,2,8] => [1,1,2,2,2]
[7,5,3,6,4,1,2,8] => [1,1,2,1,3]
[7,5,3,8,4,1,2,6] => [1,1,2,1,3]
[7,5,8,6,3,1,2,4] => [1,2,1,1,3]
[7,5,8,6,3,1,4,2] => [1,2,1,1,2,1]
[7,5,8,6,3,4,1,2] => [1,2,1,2,2]
[7,5,6,8,3,1,4,2] => [1,3,1,2,1]
[7,5,6,3,8,1,2,4] => [1,2,2,3]
[7,5,3,4,1,6,2,8] => [1,1,2,2,2]
[7,5,3,4,1,8,2,6] => [1,1,2,2,2]
[7,5,6,3,1,8,2,4] => [1,2,1,2,2]
[7,5,6,3,1,8,4,2] => [1,2,1,2,1,1]
[7,5,6,3,8,1,4,2] => [1,2,2,2,1]
[7,5,6,3,8,4,1,2] => [1,2,2,1,2]
[7,5,3,6,8,4,1,2] => [1,1,3,1,2]
[7,5,3,6,8,1,4,2] => [1,1,3,2,1]
[7,5,3,6,1,8,4,2] => [1,1,2,2,1,1]
[7,5,3,1,6,8,4,2] => [1,1,1,3,1,1]
[7,5,3,1,6,8,2,4] => [1,1,1,3,2]
[7,5,3,1,4,8,2,6] => [1,1,1,3,2]
[7,5,3,1,4,6,2,8] => [1,1,1,3,2]
[7,5,3,1,2,6,4,8] => [1,1,1,3,2]
[7,5,3,1,2,8,4,6] => [1,1,1,3,2]
[7,5,3,1,2,8,6,4] => [1,1,1,3,1,1]
[7,5,3,1,4,8,6,2] => [1,1,1,3,1,1]
[7,5,3,4,1,8,6,2] => [1,1,2,2,1,1]
[7,5,3,4,8,1,6,2] => [1,1,3,2,1]
[7,5,3,4,8,6,1,2] => [1,1,3,1,2]
[7,5,3,4,6,1,8,2] => [1,1,3,2,1]
[7,5,3,4,1,6,8,2] => [1,1,2,3,1]
[7,5,3,1,4,6,8,2] => [1,1,1,4,1]
[7,5,3,1,2,6,8,4] => [1,1,1,4,1]
[7,5,3,1,2,4,8,6] => [1,1,1,4,1]
[3,6,2,5,4,1,8,7] => [2,2,1,2,1]
[3,5,2,8,4,7,6,1] => [2,2,2,1,1]
[5,4,7,3,2,8,6,1] => [1,2,1,2,1,1]
[5,4,8,3,2,7,6,1] => [1,2,1,2,1,1]
[6,4,5,3,2,1,8,7] => [1,2,1,1,2,1]
[5,3,2,6,4,1,8,7] => [1,1,2,1,2,1]
[4,5,8,3,2,7,6,1] => [3,1,2,1,1]
[4,7,6,3,8,5,2,1] => [2,1,2,1,1,1]
[4,8,6,3,7,5,2,1] => [2,1,2,1,1,1]
[4,8,5,3,2,7,6,1] => [2,1,1,2,1,1]
[5,8,4,3,2,7,6,1] => [2,1,1,2,1,1]
[5,3,2,8,4,7,6,1] => [1,1,2,2,1,1]
[2,1,5,8,4,7,6,3] => [1,3,2,1,1]
[5,3,2,7,4,8,6,1] => [1,1,2,2,1,1]
[5,7,4,3,2,8,6,1] => [2,1,1,2,1,1]
[4,7,5,3,2,8,6,1] => [2,1,1,2,1,1]
[4,7,8,3,6,5,2,1] => [3,2,1,1,1]
[4,6,8,3,7,5,2,1] => [3,2,1,1,1]
[7,6,4,3,8,5,2,1] => [1,1,1,2,1,1,1]
[7,3,2,6,8,5,4,1] => [1,1,3,1,1,1]
[2,1,8,6,7,5,4,3] => [1,2,2,1,1,1]
[8,3,2,6,7,5,4,1] => [1,1,3,1,1,1]
[8,6,4,3,7,5,2,1] => [1,1,1,2,1,1,1]
[8,5,7,6,4,3,2,1] => [1,2,1,1,1,1,1]
[8,4,5,3,2,7,6,1] => [1,2,1,2,1,1]
[8,4,7,3,6,5,2,1] => [1,2,2,1,1,1]
[8,4,6,3,7,5,2,1] => [1,2,2,1,1,1]
[7,4,6,3,8,5,2,1] => [1,2,2,1,1,1]
[3,7,2,6,8,5,4,1] => [2,3,1,1,1]
[3,8,2,6,7,5,4,1] => [2,3,1,1,1]
[3,8,2,5,4,7,6,1] => [2,2,2,1,1]
[3,7,2,8,6,5,4,1] => [2,2,1,1,1,1]
[3,6,2,8,7,5,4,1] => [2,2,1,1,1,1]
[6,4,7,3,8,5,2,1] => [1,2,2,1,1,1]
[6,4,8,3,7,5,2,1] => [1,2,2,1,1,1]
[7,4,8,3,6,5,2,1] => [1,2,2,1,1,1]
[7,4,5,3,2,8,6,1] => [1,2,1,2,1,1]
[7,5,4,3,2,8,6,1] => [1,1,1,1,2,1,1]
[7,3,2,5,4,8,6,1] => [1,1,2,2,1,1]
[2,1,7,5,4,8,6,3] => [1,2,1,2,1,1]
[7,3,2,8,6,5,4,1] => [1,1,2,1,1,1,1]
[7,8,4,3,6,5,2,1] => [2,1,2,1,1,1]
[6,8,5,7,4,3,2,1] => [2,2,1,1,1,1]
[6,8,4,3,7,5,2,1] => [2,1,2,1,1,1]
[6,3,2,8,7,5,4,1] => [1,1,2,1,1,1,1]
[6,3,2,7,8,5,4,1] => [1,1,3,1,1,1]
[6,7,4,3,8,5,2,1] => [2,1,2,1,1,1]
[4,6,8,3,5,7,1,2] => [3,3,2]
[6,8,1,2,4,5,7,3] => [2,5,1]
[3,5,8,2,4,7,1,6] => [3,3,2]
[8,3,5,2,4,1,6,7] => [1,2,2,3]
[4,2,5,7,3,6,1,8] => [1,3,2,2]
[4,5,2,8,3,1,6,7] => [2,2,1,3]
[4,2,5,8,3,7,1,6] => [1,3,2,2]
[2,1,6,8,4,7,3,5] => [1,3,2,2]
[1,2,5,8,3,6,7,4] => [4,3,1]
[5,3,6,8,4,7,1,2] => [1,3,2,2]
[1,6,5,8,2,4,7,3] => [2,2,3,1]
[3,1,2,6,8,5,7,4] => [1,4,2,1]
[1,4,3,8,2,6,7,5] => [2,2,3,1]
[5,4,8,3,2,1,6,7] => [1,2,1,1,3]
[5,4,3,7,2,6,1,8] => [1,1,2,2,2]
[4,3,6,2,7,5,1,8] => [1,2,2,1,2]
[4,6,3,2,1,8,5,7] => [2,1,1,2,2]
[4,1,7,3,2,5,8,6] => [1,2,1,3,1]
[4,3,1,7,8,2,6,5] => [1,1,3,2,1]
[3,5,1,2,7,8,6,4] => [2,4,1,1]
[7,5,1,4,8,2,6,3] => [1,1,3,2,1]
[5,4,7,3,8,6,1,2] => [1,2,2,1,2]
[5,8,4,7,6,3,1,2] => [2,2,1,1,2]
[5,8,7,1,4,2,6,3] => [2,1,2,2,1]
[8,3,5,1,2,7,6,4] => [1,2,3,1,1]
[4,8,3,1,7,2,6,5] => [2,1,2,2,1]
[1,8,4,3,5,2,7,6] => [2,1,2,2,1]
[4,6,3,1,5,2,8,7] => [2,1,2,2,1]
[4,7,3,6,5,2,1,8] => [2,2,1,1,2]
[5,3,7,6,4,2,1,8] => [1,2,1,1,1,2]
[1,6,3,4,2,8,7,5] => [2,2,2,1,1]
[1,8,3,6,2,7,5,4] => [2,2,2,1,1]
[1,6,8,7,4,2,5,3] => [3,1,1,2,1]
[6,4,8,7,5,3,1,2] => [1,2,1,1,1,2]
[7,6,4,3,8,5,1,2] => [1,1,1,2,1,2]
[1,7,6,2,8,4,5,3] => [2,1,2,2,1]
[7,1,3,2,6,8,5,4] => [1,2,3,1,1]
[1,5,3,2,7,4,8,6] => [2,1,2,2,1]
[6,3,2,1,8,5,4,7] => [1,1,1,2,1,2]
[6,5,3,2,7,4,1,8] => [1,1,1,2,1,2]
[5,2,6,3,7,4,1,8] => [1,2,2,1,2]
[2,8,5,3,1,6,4,7] => [2,1,1,2,2]
[2,1,7,3,8,5,4,6] => [1,2,2,1,2]
[1,6,2,3,7,8,5,4] => [2,4,1,1]
[1,6,7,2,8,4,5,3] => [3,2,2,1]
[5,7,1,8,2,4,6,3] => [2,2,3,1]
[5,1,2,7,8,3,6,4] => [1,4,2,1]
[2,4,1,7,8,6,3,5] => [2,3,1,2]
[4,2,1,7,3,8,5,6] => [1,1,2,2,2]
[6,2,8,4,3,1,5,7] => [1,2,1,1,3]
[7,3,2,1,8,4,5,6] => [1,1,1,2,3]
[7,8,3,2,5,6,1,4] => [2,1,3,2]
[7,1,8,2,4,5,6,3] => [1,2,4,1]
[8,7,6,1,2,4,5,3] => [1,1,1,4,1]
[8,3,7,6,2,1,4,5] => [1,2,1,1,3]
[3,2,8,7,5,1,4,6] => [1,2,1,1,3]
[8,3,6,5,2,1,4,7] => [1,2,1,1,3]
[7,6,3,5,2,4,1,8] => [1,1,2,2,2]
[7,4,6,2,5,3,1,8] => [1,2,2,1,2]
[8,2,4,1,6,5,3,7] => [1,2,2,1,2]
[4,2,8,1,7,5,3,6] => [1,2,2,1,2]
[8,2,4,1,7,6,3,5] => [1,2,2,1,2]
[8,7,1,5,6,2,4,3] => [1,1,3,2,1]
[8,5,7,3,6,4,1,2] => [1,2,2,1,2]
[6,8,3,7,5,4,1,2] => [2,2,1,1,2]
[8,1,6,7,5,2,4,3] => [1,3,1,2,1]
[8,1,2,6,4,3,7,5] => [1,3,1,2,1]
[2,8,1,7,5,4,3,6] => [2,2,1,1,2]
[2,5,1,8,6,4,3,7] => [2,2,1,1,2]
[5,7,2,6,4,3,1,8] => [2,2,1,1,2]
[6,2,7,5,4,3,1,8] => [1,2,1,1,1,2]
[2,1,8,6,5,4,3,7] => [1,2,1,1,1,2]
[1,2,7,5,4,3,8,6] => [3,1,1,2,1]
[1,7,2,4,3,8,6,5] => [2,2,2,1,1]
[1,7,2,8,3,6,5,4] => [2,2,2,1,1]
[1,7,8,6,5,2,4,3] => [3,1,1,2,1]
[7,3,8,6,5,4,1,2] => [1,2,1,1,1,2]
[1,8,7,6,5,2,4,3] => [2,1,1,1,2,1]
[8,1,7,3,2,6,5,4] => [1,2,1,2,1,1]
[5,1,4,3,2,8,7,6] => [1,2,1,2,1,1]
[8,6,5,3,2,1,7,4] => [1,1,1,1,1,2,1]
[8,6,3,2,1,7,4,5] => [1,1,1,1,2,2]
[8,6,5,4,1,7,2,3] => [1,1,1,1,2,2]
[8,6,5,1,7,3,2,4] => [1,1,1,2,1,2]
[8,6,1,7,4,3,2,5] => [1,1,2,1,1,2]
[4,6,3,2,7,5,1,8] => [2,1,2,1,2]
[1,4,3,7,2,5,8,6] => [2,2,3,1]
[7,4,8,3,1,6,2,5] => [1,2,1,2,2]
[7,1,5,8,3,2,6,4] => [1,3,1,2,1]
[5,7,4,1,8,2,6,3] => [2,1,2,2,1]
[5,7,4,3,1,8,6,2] => [2,1,1,2,1,1]
[1,8,7,2,5,4,6,3] => [2,1,2,2,1]
[1,8,5,3,7,2,6,4] => [2,1,2,2,1]
[4,3,1,8,7,5,2,6] => [1,1,2,1,1,2]
[1,4,8,6,3,5,2,7] => [3,1,2,2]
[7,4,6,3,5,2,1,8] => [1,2,2,1,2]
[1,3,5,6,8,4,2,7] => [5,1,2]
[3,5,4,8,7,1,2,6] => [2,2,1,3]
[3,1,4,6,8,7,2,5] => [1,4,1,2]
[1,6,3,8,7,2,5,4] => [2,2,1,2,1]
[1,6,2,4,8,7,5,3] => [2,3,1,1,1]
[8,4,1,6,7,5,3,2] => [1,1,3,1,1,1]
[7,1,6,4,8,5,2,3] => [1,2,2,1,2]
[7,3,6,8,5,1,2,4] => [1,3,1,3]
[1,3,7,2,6,8,4,5] => [3,3,2]
[3,6,5,2,8,1,4,7] => [2,1,2,3]
[3,6,5,7,2,4,1,8] => [2,2,2,2]
[4,2,6,3,8,1,5,7] => [1,2,2,3]
[4,2,6,7,3,5,1,8] => [1,3,2,2]
[3,6,2,4,7,5,1,8] => [2,3,1,2]
[3,6,2,4,1,8,5,7] => [2,2,2,2]
[7,3,8,2,1,6,4,5] => [1,2,1,2,2]
[7,3,5,2,1,8,6,4] => [1,2,1,2,1,1]
[8,7,6,4,3,1,5,2] => [1,1,1,1,1,2,1]
[8,7,6,4,1,5,2,3] => [1,1,1,1,2,2]
[3,8,7,2,1,4,6,5] => [2,1,1,3,1]
[3,8,2,7,1,5,4,6] => [2,2,2,2]
[3,6,8,2,1,5,4,7] => [3,1,2,2]
[2,4,8,1,6,5,3,7] => [3,2,1,2]
[4,2,8,1,5,7,3,6] => [1,2,3,2]
[8,5,7,6,1,4,2,3] => [1,2,1,2,2]
[8,6,1,7,3,5,4,2] => [1,1,2,2,1,1]
[8,6,1,7,5,4,2,3] => [1,1,2,1,1,2]
[1,6,2,8,7,3,5,4] => [2,2,1,2,1]
[1,8,2,4,6,7,3,5] => [2,4,2]
[2,8,5,4,7,1,3,6] => [2,1,2,3]
[2,1,5,8,6,4,3,7] => [1,3,1,1,2]
[7,2,5,6,4,3,1,8] => [1,3,1,1,2]
[1,2,5,7,8,4,3,6] => [5,1,2]
[1,2,7,4,8,6,3,5] => [3,2,1,2]
[1,2,7,8,3,6,5,4] => [4,2,1,1]
[7,1,8,6,3,5,4,2] => [1,2,1,2,1,1]
[1,8,7,6,3,5,2,4] => [2,1,1,2,2]
[1,8,7,4,6,3,2,5] => [2,1,2,1,2]
[7,1,5,8,3,4,6,2] => [1,3,3,1]
[7,1,6,4,2,3,5,8] => [1,2,1,4]
[8,6,2,4,7,3,5,1] => [1,1,3,2,1]
[8,6,2,4,5,7,3,1] => [1,1,4,1,1]
[2,7,1,4,5,8,3,6] => [2,4,2]
[7,1,6,4,5,2,3,8] => [1,2,2,3]
[7,1,4,5,6,8,2,3] => [1,5,2]
[7,1,4,6,5,8,3,2] => [1,3,2,1,1]
[7,1,2,3,8,5,4,6] => [1,4,1,2]
[7,1,5,4,3,8,2,6] => [1,2,1,2,2]
[7,1,3,4,2,6,8,5] => [1,3,3,1]
[7,1,5,4,6,2,8,3] => [1,2,2,2,1]
[7,1,5,6,4,3,8,2] => [1,3,1,2,1]
[7,1,6,5,4,3,2,8] => [1,2,1,1,1,2]
[8,6,2,5,4,3,7,1] => [1,1,2,1,2,1]
[2,5,1,7,4,3,6,8] => [2,2,1,3]
[2,5,1,4,7,8,6,3] => [2,4,1,1]
[3,5,1,4,8,6,2,7] => [2,3,1,2]
[3,6,2,4,7,8,1,5] => [2,4,2]
[5,6,2,4,8,7,1,3] => [2,3,1,2]
[6,3,8,2,4,7,1,5] => [1,2,3,2]
[6,5,8,7,2,3,1,4] => [1,2,1,2,2]
[6,5,7,8,2,4,1,3] => [1,3,2,2]
[6,3,4,2,8,5,1,7] => [1,2,2,1,2]
[3,4,7,2,5,8,1,6] => [3,3,2]
[4,6,8,1,3,5,2,7] => [3,3,2]
[4,3,8,1,2,7,5,6] => [1,2,3,2]
[3,6,4,1,7,2,5,8] => [2,1,2,3]
[2,8,3,1,5,6,4,7] => [2,1,3,2]
[3,8,7,1,5,4,2,6] => [2,1,2,1,2]
[4,3,1,7,6,8,2,5] => [1,1,2,2,2]
[3,4,1,7,5,6,8,2] => [2,2,3,1]
[3,4,1,5,7,6,2,8] => [2,3,1,2]
[3,7,4,1,6,2,8,5] => [2,1,2,2,1]
[8,4,7,2,5,3,6,1] => [1,2,2,2,1]
[4,7,8,1,2,3,6,5] => [3,4,1]
[2,8,6,1,5,3,7,4] => [2,1,2,2,1]
[7,6,5,1,3,8,2,4] => [1,1,1,3,2]
[7,6,5,1,3,4,8,2] => [1,1,1,4,1]
[7,2,6,4,1,3,8,5] => [1,2,1,3,1]
[6,7,5,2,1,3,8,4] => [2,1,1,3,1]
[8,4,5,3,7,2,6,1] => [1,2,2,2,1]
[4,7,5,2,8,1,6,3] => [2,1,2,2,1]
[2,6,4,3,1,5,7,8] => [2,1,1,4]
[7,3,8,4,1,5,2,6] => [1,2,1,2,2]
[7,2,3,4,1,6,5,8] => [1,3,2,2]
[4,2,8,3,6,1,5,7] => [1,2,2,3]
[6,8,5,7,2,1,3,4] => [2,2,1,3]
[4,8,5,2,7,1,3,6] => [2,1,2,3]
[6,3,5,2,1,7,4,8] => [1,2,1,2,2]
[6,8,5,3,1,4,2,7] => [2,1,1,2,2]
[3,6,5,4,2,8,1,7] => [2,1,1,2,2]
[1,6,4,7,2,5,3,8] => [2,2,2,2]
[1,6,4,8,2,5,3,7] => [2,2,2,2]
[1,6,5,8,2,4,3,7] => [2,2,2,2]
[1,6,8,2,4,3,7,5] => [3,2,2,1]
[1,6,2,4,3,7,8,5] => [2,2,3,1]
[1,5,6,2,4,7,3,8] => [3,3,2]
[1,5,6,2,4,7,8,3] => [3,4,1]
[1,5,8,2,4,7,3,6] => [3,3,2]
[1,5,7,2,4,8,3,6] => [3,3,2]
[1,6,5,7,2,4,3,8] => [2,2,2,2]
[1,6,7,2,4,3,8,5] => [3,2,2,1]
[1,5,6,7,2,4,8,3] => [4,3,1]
[1,5,8,2,4,6,7,3] => [3,4,1]
[1,5,7,2,4,6,8,3] => [3,4,1]
[1,5,7,8,3,2,4,6] => [4,1,3]
[1,5,8,3,2,4,6,7] => [3,1,4]
[1,5,6,2,4,8,3,7] => [3,3,2]
[1,7,6,2,8,3,4,5] => [2,1,2,3]
[1,7,3,4,2,8,6,5] => [2,2,2,1,1]
[1,6,2,4,3,8,7,5] => [2,2,2,1,1]
[1,5,6,2,4,8,7,3] => [3,3,1,1]
[1,5,8,7,3,2,4,6] => [3,1,1,3]
[1,4,2,3,5,8,7,6] => [2,4,1,1]
[1,5,2,3,4,8,7,6] => [2,4,1,1]
[1,6,5,2,3,8,7,4] => [2,1,3,1,1]
[1,7,4,2,8,6,5,3] => [2,1,2,1,1,1]
[1,7,6,5,2,8,4,3] => [2,1,1,2,1,1]
[1,6,7,5,2,3,8,4] => [3,1,3,1]
[1,7,5,2,8,4,3,6] => [2,1,2,1,2]
[1,7,5,6,2,8,3,4] => [2,2,2,2]
[1,5,7,6,2,4,8,3] => [3,1,3,1]
[1,5,8,3,2,4,7,6] => [3,1,3,1]
[1,6,5,2,3,7,4,8] => [2,1,3,2]
[1,6,5,2,3,7,8,4] => [2,1,4,1]
[1,6,8,4,2,3,7,5] => [3,1,3,1]
[1,7,4,6,2,8,3,5] => [2,2,2,2]
[1,7,3,5,2,8,4,6] => [2,2,2,2]
[1,6,8,5,2,3,7,4] => [3,1,3,1]
[1,6,4,2,3,7,8,5] => [2,1,4,1]
[1,6,4,2,3,7,5,8] => [2,1,3,2]
[1,5,8,6,2,4,7,3] => [3,1,3,1]
[1,5,7,3,2,4,8,6] => [3,1,3,1]
[1,7,3,4,2,8,5,6] => [2,2,2,2]
[1,7,4,2,8,5,3,6] => [2,1,2,1,2]
[1,6,7,4,2,3,8,5] => [3,1,3,1]
[1,6,4,2,3,8,5,7] => [2,1,3,2]
[1,7,6,4,2,8,5,3] => [2,1,1,2,1,1]
[1,7,5,2,8,6,4,3] => [2,1,2,1,1,1]
[1,6,4,2,3,8,7,5] => [2,1,3,1,1]
[7,3,5,6,1,4,8,2] => [1,3,3,1]
[3,7,5,6,1,4,8,2] => [2,2,3,1]
[8,2,4,1,6,7,5,3] => [1,2,3,1,1]
[8,6,1,4,2,7,5,3] => [1,1,2,2,1,1]
[3,6,1,4,2,8,5,7] => [2,2,2,2]
[1,6,7,4,3,5,8,2] => [3,1,3,1]
[6,7,1,4,3,5,8,2] => [2,2,3,1]
[7,6,1,4,3,5,8,2] => [1,1,2,3,1]
[3,5,4,1,6,7,8,2] => [2,1,4,1]
[4,7,1,6,3,5,8,2] => [2,2,3,1]
[3,1,4,7,6,5,8,2] => [1,3,1,2,1]
[6,1,7,4,3,5,8,2] => [1,2,1,3,1]
[7,1,6,4,3,5,8,2] => [1,2,1,3,1]
[1,7,6,4,3,5,8,2] => [2,1,1,3,1]
[8,1,6,4,2,7,5,3] => [1,2,1,2,1,1]
[8,4,1,3,7,2,5,6] => [1,1,3,3]
[4,7,1,3,8,2,5,6] => [2,3,3]
[7,4,1,3,8,2,5,6] => [1,1,3,3]
[1,3,6,4,2,8,5,7] => [3,1,2,2]
[4,7,3,1,2,8,5,6] => [2,1,3,2]
[4,7,8,1,2,6,5,3] => [3,3,1,1]
[6,8,1,4,2,7,5,3] => [2,2,2,1,1]
[1,8,6,4,2,7,5,3] => [2,1,1,2,1,1]
[4,8,1,3,7,2,5,6] => [2,3,3]
[8,7,1,3,6,2,5,4] => [1,1,3,2,1]
[6,8,5,7,3,2,1,4] => [2,2,1,1,2]
[1,8,4,3,7,2,5,6] => [2,1,2,3]
[2,8,3,4,7,6,1,5] => [2,3,1,2]
[3,7,8,4,6,2,1,5] => [3,2,1,2]
[3,7,4,6,8,2,1,5] => [2,3,1,2]
[2,4,3,7,8,6,1,5] => [2,3,1,2]
[1,4,7,3,8,2,5,6] => [3,2,3]
[5,7,6,8,3,2,1,4] => [2,2,1,1,2]
[2,5,3,4,8,6,1,7] => [2,3,1,2]
[3,7,5,4,8,2,1,6] => [2,1,2,1,2]
[7,1,3,4,2,8,5,6] => [1,3,2,2]
[6,1,4,3,8,2,5,7] => [1,2,2,3]
[4,1,7,3,8,2,5,6] => [1,2,2,3]
[8,1,4,3,7,2,5,6] => [1,2,2,3]
[8,2,3,4,7,6,1,5] => [1,4,1,2]
[4,2,3,7,8,6,1,5] => [1,4,1,2]
[5,2,3,4,8,6,1,7] => [1,4,1,2]
[2,7,5,6,3,8,1,4] => [2,2,2,2]
[5,7,2,6,3,8,1,4] => [2,2,2,2]
[5,7,2,6,8,4,1,3] => [2,3,1,2]
[7,2,5,6,8,4,1,3] => [1,4,1,2]
[4,2,3,8,5,6,1,7] => [1,3,2,2]
[5,2,3,8,7,6,1,4] => [1,3,1,1,2]
[8,2,3,7,5,6,1,4] => [1,3,2,2]
[6,1,8,3,7,2,5,4] => [1,2,2,2,1]
[1,7,8,4,2,6,5,3] => [3,1,2,1,1]
[4,7,1,8,2,5,6,3] => [2,2,3,1]
[3,7,4,8,5,2,1,6] => [2,2,1,1,2]
[2,4,3,8,5,6,1,7] => [2,2,2,2]
[1,4,8,3,6,2,5,7] => [3,2,3]
[7,5,8,6,3,2,1,4] => [1,2,1,1,1,2]
[6,5,8,7,3,2,1,4] => [1,2,1,1,1,2]
[8,5,7,6,3,2,1,4] => [1,2,1,1,1,2]
[2,5,3,8,7,6,1,4] => [2,2,1,1,2]
[3,7,5,8,6,2,1,4] => [2,2,1,1,2]
[3,7,8,6,5,2,1,4] => [3,1,1,1,2]
[1,8,7,3,6,2,5,4] => [2,1,2,2,1]
[6,8,7,5,3,2,1,4] => [2,1,1,1,1,2]
[5,7,6,8,3,4,1,2] => [2,2,2,2]
[3,7,6,8,4,5,1,2] => [2,2,2,2]
[1,5,4,7,6,8,2,3] => [2,2,2,2]
[1,7,4,6,5,8,2,3] => [2,2,2,2]
[3,7,4,6,5,8,1,2] => [2,2,2,2]
[3,5,4,8,6,7,1,2] => [2,2,2,2]
[3,8,4,6,5,7,1,2] => [2,2,2,2]
[3,6,4,7,5,8,1,2] => [2,2,2,2]
[1,6,2,7,5,8,3,4] => [2,2,2,2]
[1,6,4,8,5,7,2,3] => [2,2,2,2]
[1,8,4,6,5,7,2,3] => [2,2,2,2]
[1,5,4,8,6,7,2,3] => [2,2,2,2]
[7,8,1,5,4,6,2,3] => [2,2,2,2]
[7,8,1,5,2,4,3,6] => [2,2,2,2]
[1,8,2,6,5,7,3,4] => [2,2,2,2]
[1,7,2,8,5,6,3,4] => [2,2,2,2]
[1,7,2,6,5,8,3,4] => [2,2,2,2]
[1,5,2,7,6,8,3,4] => [2,2,2,2]
[1,7,6,8,2,5,3,4] => [2,2,2,2]
[1,7,6,8,4,5,2,3] => [2,2,2,2]
[5,7,6,8,1,4,2,3] => [2,2,2,2]
[7,8,5,6,1,3,2,4] => [2,2,2,2]
[5,8,6,7,1,3,2,4] => [2,2,2,2]
[1,3,2,7,6,8,4,5] => [2,2,2,2]
[1,7,6,8,2,4,3,5] => [2,2,2,2]
[7,8,1,3,2,6,4,5] => [2,2,2,2]
[7,8,1,6,2,4,3,5] => [2,2,2,2]
[1,8,6,7,2,4,3,5] => [2,2,2,2]
[7,8,1,4,2,6,3,5] => [2,2,2,2]
[7,8,1,4,2,5,3,6] => [2,2,2,2]
[7,8,2,1,4,3,6,5] => [2,1,2,2,1]
[7,8,1,2,4,3,5,6] => [2,3,3]
[4,3,6,5,8,7,1,2] => [1,2,2,1,2]
[3,4,6,5,7,8,1,2] => [3,3,2]
[1,6,2,3,8,7,4,5] => [2,3,1,2]
[1,7,4,3,2,8,6,5] => [2,1,1,2,1,1]
[1,4,7,6,2,5,8,3] => [3,1,3,1]
[1,2,6,5,3,7,4,8] => [3,1,2,2]
[1,2,6,5,3,7,8,4] => [3,1,3,1]
[1,3,7,5,2,6,8,4] => [3,1,3,1]
[1,3,7,4,2,6,8,5] => [3,1,3,1]
[1,2,6,4,3,7,8,5] => [3,1,3,1]
[1,2,6,4,3,7,5,8] => [3,1,2,2]
[1,4,7,3,2,5,8,6] => [3,1,3,1]
[1,4,3,2,5,8,6,7] => [2,1,3,2]
[1,5,3,2,4,8,6,7] => [2,1,3,2]
[1,7,5,3,2,8,6,4] => [2,1,1,2,1,1]
[1,5,3,2,4,8,7,6] => [2,1,3,1,1]
[7,6,5,4,3,1,8,2] => [1,1,1,1,1,2,1]
[6,8,5,4,3,2,1,7] => [2,1,1,1,1,2]
[7,1,5,4,3,8,6,2] => [1,2,1,2,1,1]
[3,6,5,4,8,1,7,2] => [2,1,2,2,1]
[6,8,1,4,3,2,7,5] => [2,2,1,2,1]
[2,8,5,4,3,7,1,6] => [2,1,1,2,2]
[7,6,1,4,3,8,5,2] => [1,1,2,2,1,1]
[4,6,5,8,3,1,7,2] => [2,2,1,2,1]
[6,8,5,1,3,2,7,4] => [2,1,2,2,1]
[1,8,2,4,3,7,6,5] => [2,2,2,1,1]
[3,8,5,4,7,2,1,6] => [2,1,2,1,2]
[7,6,5,1,3,8,4,2] => [1,1,1,3,1,1]
[1,6,3,4,8,7,5,2] => [2,3,1,1,1]
[1,4,5,8,3,7,6,2] => [4,2,1,1]
[6,8,5,4,1,2,7,3] => [2,1,1,3,1]
[1,8,5,2,3,7,6,4] => [2,1,3,1,1]
[6,8,2,4,3,7,1,5] => [2,2,2,2]
[1,8,3,4,7,2,6,5] => [2,3,2,1]
[7,5,8,4,3,2,1,6] => [1,2,1,1,1,2]
[4,8,5,7,3,2,1,6] => [2,2,1,1,2]
[5,1,7,6,8,4,3,2] => [1,2,2,1,1,1]
[6,4,8,5,2,7,1,3] => [1,2,1,2,2]
[5,1,8,6,7,4,3,2] => [1,2,2,1,1,1]
[8,4,7,5,2,6,1,3] => [1,2,1,2,2]
[5,4,6,8,2,1,7,3] => [1,3,1,2,1]
[6,4,5,8,1,2,7,3] => [1,3,3,1]
[7,4,6,5,2,1,8,3] => [1,2,1,1,2,1]
[8,4,6,5,2,1,7,3] => [1,2,1,1,2,1]
[4,8,7,5,6,1,3,2] => [2,1,2,2,1]
[2,7,5,1,8,4,3,6] => [2,1,2,1,2]
[5,1,8,7,4,2,3,6] => [1,2,1,1,3]
[2,8,6,7,4,3,5,1] => [2,2,1,2,1]
[3,6,5,2,4,1,8,7] => [2,1,2,2,1]
[5,2,3,6,4,1,8,7] => [1,3,1,2,1]
[6,1,4,5,3,2,8,7] => [1,3,1,2,1]
[3,8,7,1,4,6,5,2] => [2,1,3,1,1]
[5,7,1,2,4,3,8,6] => [2,3,2,1]
[4,3,7,6,8,2,5,1] => [1,2,2,2,1]
[5,3,6,8,1,7,2,4] => [1,3,2,2]
[3,2,6,8,5,7,1,4] => [1,3,2,2]
[6,3,7,2,4,8,5,1] => [1,2,3,1,1]
[7,4,8,6,5,2,1,3] => [1,2,1,1,1,2]
[7,1,8,2,5,4,3,6] => [1,2,2,1,2]
[2,5,3,7,4,1,8,6] => [2,2,1,2,1]
[3,6,4,7,5,1,8,2] => [2,2,1,2,1]
[8,4,7,6,2,3,1,5] => [1,2,1,2,2]
[8,4,7,1,2,5,6,3] => [1,2,4,1]
[4,2,8,7,3,5,6,1] => [1,2,1,3,1]
[8,1,7,4,2,5,6,3] => [1,2,1,3,1]
[7,4,3,8,2,5,6,1] => [1,1,2,3,1]
[6,4,1,5,8,2,7,3] => [1,1,3,2,1]
[2,5,8,7,3,6,1,4] => [3,1,2,2]
[2,1,5,8,7,4,6,3] => [1,3,1,2,1]
[8,3,5,6,7,4,1,2] => [1,4,1,2]
[7,4,3,2,8,5,6,1] => [1,1,1,2,2,1]
[4,2,7,1,8,5,6,3] => [1,2,2,2,1]
[4,1,7,2,8,5,6,3] => [1,2,2,2,1]
[2,4,8,7,3,5,6,1] => [3,1,3,1]
[4,7,8,3,1,5,6,2] => [3,1,3,1]
[3,4,7,2,8,5,6,1] => [3,2,2,1]
[3,7,1,4,8,5,6,2] => [2,3,2,1]
[7,2,3,4,8,5,6,1] => [1,4,2,1]
[6,1,8,5,2,7,4,3] => [1,2,1,2,1,1]
[2,1,7,4,5,8,6,3] => [1,2,3,1,1]
[2,1,8,3,6,7,5,4] => [1,2,3,1,1]
[8,2,1,6,4,7,5,3] => [1,1,2,2,1,1]
[7,8,2,6,4,1,5,3] => [2,2,1,2,1]
[2,6,3,5,8,7,1,4] => [2,3,1,2]
[7,6,2,1,5,8,4,3] => [1,1,1,3,1,1]
[4,5,2,7,6,1,8,3] => [2,2,1,2,1]
[5,1,6,8,4,7,2,3] => [1,3,2,2]
[3,6,8,7,5,2,1,4] => [3,1,1,1,2]
[7,4,8,6,5,2,3,1] => [1,2,1,1,2,1]
[8,1,6,4,7,3,2,5] => [1,2,2,1,2]
[7,6,4,1,2,3,8,5] => [1,1,1,4,1]
[2,6,4,8,5,3,7,1] => [2,2,1,2,1]
[7,3,5,8,4,2,1,6] => [1,3,1,1,2]
[3,2,5,8,4,1,7,6] => [1,3,1,2,1]
[8,4,7,1,5,2,3,6] => [1,2,2,3]
[4,8,7,5,6,1,2,3] => [2,1,2,3]
[6,1,4,8,7,3,5,2] => [1,3,1,2,1]
[7,2,8,4,3,5,6,1] => [1,2,1,3,1]
[4,7,8,1,3,5,6,2] => [3,4,1]
[8,7,3,4,1,5,6,2] => [1,1,2,3,1]
[4,8,2,7,3,5,6,1] => [2,2,3,1]
[3,1,8,7,2,5,6,4] => [1,2,1,3,1]
[3,8,1,7,2,5,6,4] => [2,2,3,1]
[8,2,3,7,1,5,6,4] => [1,3,3,1]
[6,4,8,7,1,3,2,5] => [1,2,1,2,2]
[2,8,4,6,7,3,1,5] => [2,3,1,2]
[4,3,8,2,7,6,1,5] => [1,2,2,1,2]
[6,8,4,2,1,3,7,5] => [2,1,1,3,1]
[7,8,2,4,3,5,6,1] => [2,2,3,1]
[2,8,3,7,1,5,6,4] => [2,2,3,1]
[8,1,2,7,3,5,6,4] => [1,3,3,1]
[6,4,1,3,2,8,5,7] => [1,1,2,2,2]
[5,3,8,6,2,1,4,7] => [1,2,1,1,3]
[4,6,5,2,8,3,1,7] => [2,1,2,1,2]
[4,3,7,5,1,8,2,6] => [1,2,1,2,2]
[6,8,5,2,7,4,3,1] => [2,1,2,1,1,1]
[7,2,5,4,3,8,1,6] => [1,2,1,2,2]
[3,6,8,1,4,5,2,7] => [3,3,2]
[6,8,1,2,4,5,3,7] => [2,4,2]
[8,1,6,2,4,5,3,7] => [1,2,3,2]
[3,8,6,1,2,5,4,7] => [2,1,3,2]
[5,8,1,6,2,3,4,7] => [2,2,4]
[4,1,6,5,8,2,3,7] => [1,2,2,3]
[4,3,8,6,2,5,1,7] => [1,2,1,2,2]
[8,3,6,1,4,5,2,7] => [1,2,3,2]
[2,3,6,8,4,5,1,7] => [4,2,2]
[2,7,5,4,3,8,1,6] => [2,1,1,2,2]
[6,3,8,7,4,2,5,1] => [1,2,1,1,2,1]
[5,8,4,3,7,6,1,2] => [2,1,2,1,2]
[8,7,4,3,1,6,2,5] => [1,1,1,1,2,2]
[1,7,4,3,8,6,2,5] => [2,1,2,1,2]
[7,1,5,3,4,8,2,6] => [1,2,3,2]
[2,8,6,1,7,4,5,3] => [2,1,2,2,1]
[4,8,6,5,7,2,1,3] => [2,1,2,1,2]
[4,7,6,8,2,1,5,3] => [2,2,1,2,1]
[6,1,8,7,4,3,5,2] => [1,2,1,1,2,1]
[8,5,4,3,1,6,7,2] => [1,1,1,1,3,1]
[1,5,8,6,3,4,7,2] => [3,1,3,1]
[2,5,8,6,3,4,7,1] => [3,1,3,1]
[4,1,3,8,5,6,7,2] => [1,3,3,1]
[6,5,8,4,3,1,7,2] => [1,2,1,1,2,1]
[4,6,5,2,8,1,7,3] => [2,1,2,2,1]
[7,2,8,1,3,6,4,5] => [1,2,3,2]
[1,8,5,2,3,6,7,4] => [2,1,4,1]
[1,8,3,2,5,6,7,4] => [2,1,4,1]
[2,8,3,1,5,6,7,4] => [2,1,4,1]
[4,8,3,2,5,6,7,1] => [2,1,4,1]
[8,2,3,1,5,6,7,4] => [1,2,4,1]
[2,1,8,3,5,6,7,4] => [1,2,4,1]
[1,4,8,2,3,6,7,5] => [3,4,1]
[3,1,2,7,8,6,4,5] => [1,4,1,2]
[7,5,1,8,2,4,3,6] => [1,1,2,2,2]
[3,5,8,1,2,4,7,6] => [3,4,1]
[4,5,8,1,2,3,7,6] => [3,4,1]
[4,2,7,1,8,6,3,5] => [1,2,2,1,2]
[3,8,4,1,2,6,7,5] => [2,1,4,1]
[5,4,8,2,3,6,7,1] => [1,2,4,1]
[5,8,3,6,7,4,1,2] => [2,3,1,2]
[2,3,1,6,8,4,7,5] => [2,3,2,1]
[2,4,3,7,1,8,5,6] => [2,2,2,2]
[1,4,7,3,2,8,5,6] => [3,1,2,2]
[2,7,1,4,3,8,5,6] => [2,2,2,2]
[2,4,1,8,6,3,7,5] => [2,2,1,2,1]
[8,4,1,3,6,2,7,5] => [1,1,3,2,1]
[6,8,5,1,7,2,3,4] => [2,1,2,3]
[7,3,6,5,8,2,1,4] => [1,2,2,1,2]
[7,6,3,5,8,2,1,4] => [1,1,3,1,2]
[4,5,8,7,3,6,1,2] => [3,1,2,2]
[3,5,2,8,6,1,7,4] => [2,2,1,2,1]
[8,2,5,6,1,4,7,3] => [1,3,3,1]
[8,6,5,4,1,2,7,3] => [1,1,1,1,3,1]
[2,6,1,8,3,7,5,4] => [2,2,2,1,1]
[4,7,1,6,2,8,5,3] => [2,2,2,1,1]
[6,1,5,3,8,7,2,4] => [1,2,2,1,2]
[2,8,6,3,7,1,5,4] => [2,1,2,2,1]
[7,6,1,5,8,2,3,4] => [1,1,3,3]
[3,6,8,5,1,2,7,4] => [3,1,3,1]
[6,5,2,4,8,1,7,3] => [1,1,3,2,1]
[5,1,4,8,2,6,7,3] => [1,3,3,1]
[4,8,2,5,1,6,7,3] => [2,2,3,1]
[3,4,8,5,2,6,7,1] => [3,1,3,1]
[4,2,1,8,5,6,7,3] => [1,1,2,3,1]
[1,5,4,8,2,6,7,3] => [2,2,3,1]
[7,2,1,5,8,6,3,4] => [1,1,3,1,2]
[2,8,4,5,1,6,7,3] => [2,2,3,1]
[5,4,8,3,7,6,1,2] => [1,2,2,1,2]
[3,1,5,8,6,2,7,4] => [1,3,1,2,1]
[6,3,4,8,5,1,7,2] => [1,3,1,2,1]
[5,3,4,8,1,6,7,2] => [1,3,3,1]
[7,6,1,2,8,3,5,4] => [1,1,3,2,1]
[7,5,8,4,1,2,6,3] => [1,2,1,3,1]
[7,5,8,4,6,1,3,2] => [1,2,2,2,1]
[6,5,4,8,7,1,3,2] => [1,1,2,1,2,1]
[6,5,4,8,1,2,7,3] => [1,1,2,3,1]
[7,5,1,6,2,3,8,4] => [1,1,2,3,1]
[7,5,1,6,8,2,4,3] => [1,1,3,2,1]
[6,5,4,1,8,2,7,3] => [1,1,1,2,2,1]
[6,5,4,7,1,2,8,3] => [1,1,2,3,1]
[6,5,4,7,8,1,3,2] => [1,1,3,2,1]
[6,5,3,7,1,4,2,8] => [1,1,2,2,2]
[6,5,3,1,8,4,2,7] => [1,1,1,2,1,2]
[7,5,1,4,8,3,2,6] => [1,1,3,1,2]
[8,1,6,4,7,3,5,2] => [1,2,2,2,1]
[7,5,1,4,8,3,6,2] => [1,1,3,2,1]
[6,5,3,7,1,4,8,2] => [1,1,2,3,1]
[6,4,3,1,5,8,7,2] => [1,1,1,3,1,1]
[7,4,1,5,3,8,6,2] => [1,1,2,2,1,1]
[8,1,5,4,3,7,6,2] => [1,2,1,2,1,1]
[8,1,5,4,3,7,2,6] => [1,2,1,2,2]
[7,4,1,5,3,8,2,6] => [1,1,2,2,2]
[7,4,1,5,3,2,6,8] => [1,1,2,1,3]
[8,1,5,4,3,2,6,7] => [1,2,1,1,3]
[8,1,6,4,2,5,3,7] => [1,2,1,2,2]
[6,5,3,1,2,7,4,8] => [1,1,1,3,2]
[6,5,3,8,1,4,2,7] => [1,1,2,2,2]
[7,6,8,1,4,3,2,5] => [1,2,2,1,2]
[8,1,7,2,5,4,3,6] => [1,2,2,1,2]
[8,1,7,2,5,4,6,3] => [1,2,2,2,1]
[7,6,1,2,5,4,8,3] => [1,1,3,2,1]
[6,5,3,8,1,4,7,2] => [1,1,2,3,1]
[6,5,3,1,2,7,8,4] => [1,1,1,4,1]
[7,5,1,4,2,6,8,3] => [1,1,2,3,1]
[8,1,6,4,2,5,7,3] => [1,2,1,3,1]
[7,4,1,5,3,2,8,6] => [1,1,2,1,2,1]
[6,4,3,1,5,2,8,7] => [1,1,1,2,2,1]
[6,4,3,1,5,7,2,8] => [1,1,1,3,2]
[7,4,1,5,3,6,2,8] => [1,1,2,2,2]
[8,1,5,4,3,6,2,7] => [1,2,1,2,2]
[8,1,5,4,3,6,7,2] => [1,2,1,3,1]
[7,4,1,5,3,6,8,2] => [1,1,2,3,1]
[6,4,3,1,5,7,8,2] => [1,1,1,4,1]
[6,7,3,8,4,5,1,2] => [2,2,2,2]
[6,7,4,5,1,8,2,3] => [2,2,2,2]
[4,7,5,6,2,3,1,8] => [2,2,2,2]
[4,7,5,6,1,8,2,3] => [2,2,2,2]
[4,7,5,6,3,8,1,2] => [2,2,2,2]
[3,7,5,8,4,6,1,2] => [2,2,2,2]
[4,5,3,8,6,7,1,2] => [2,2,2,2]
[4,8,3,6,5,7,1,2] => [2,2,2,2]
[5,6,4,7,1,8,2,3] => [2,2,2,2]
[5,6,1,7,3,8,2,4] => [2,2,2,2]
[5,6,1,8,2,7,3,4] => [2,2,2,2]
[5,6,1,8,4,7,2,3] => [2,2,2,2]
[4,8,1,6,5,7,2,3] => [2,2,2,2]
[4,5,1,8,6,7,2,3] => [2,2,2,2]
[7,8,4,5,1,6,2,3] => [2,2,2,2]
[4,8,2,3,1,6,5,7] => [2,2,2,2]
[5,6,2,8,1,4,3,7] => [2,2,2,2]
[5,6,3,4,1,8,2,7] => [2,2,2,2]
[3,6,4,5,2,7,1,8] => [2,2,2,2]
[3,6,4,5,1,8,2,7] => [2,2,2,2]
[2,6,4,8,1,5,3,7] => [2,2,2,2]
[2,8,3,6,1,5,4,7] => [2,2,2,2]
[2,8,3,4,1,6,5,7] => [2,2,2,2]
[7,8,2,5,3,4,1,6] => [2,2,2,2]
[7,8,1,5,3,6,2,4] => [2,2,2,2]
[1,5,3,8,6,7,2,4] => [2,2,2,2]
[1,8,3,6,2,7,4,5] => [2,2,2,2]
[1,6,4,8,2,7,3,5] => [2,2,2,2]
[2,6,4,7,3,5,1,8] => [2,2,2,2]
[2,7,3,6,4,5,1,8] => [2,2,2,2]
[1,7,3,6,4,8,2,5] => [2,2,2,2]
[1,7,2,8,4,6,3,5] => [2,2,2,2]
[1,7,5,8,4,6,2,3] => [2,2,2,2]
[1,7,5,8,2,6,3,4] => [2,2,2,2]
[1,7,5,6,3,8,2,4] => [2,2,2,2]
[2,7,5,6,3,4,1,8] => [2,2,2,2]
[6,7,2,5,3,4,1,8] => [2,2,2,2]
[6,7,1,5,3,8,2,4] => [2,2,2,2]
[6,7,5,8,1,4,2,3] => [2,2,2,2]
[5,8,6,7,2,3,1,4] => [2,2,2,2]
[6,7,2,3,1,8,4,5] => [2,2,2,2]
[6,7,2,8,1,4,3,5] => [2,2,2,2]
[3,4,2,7,5,6,1,8] => [2,2,2,2]
[3,4,1,7,5,8,2,6] => [2,2,2,2]
[2,7,5,8,1,4,3,6] => [2,2,2,2]
[2,3,1,7,5,8,4,6] => [2,2,2,2]
[2,3,1,8,4,7,5,6] => [2,2,2,2]
[7,8,2,3,1,6,4,5] => [2,2,2,2]
[7,8,2,6,1,4,3,5] => [2,2,2,2]
[2,8,6,7,1,4,3,5] => [2,2,2,2]
[2,8,1,4,3,7,5,6] => [2,2,2,2]
[3,7,2,5,4,6,1,8] => [2,2,2,2]
[4,5,2,7,3,6,1,8] => [2,2,2,2]
[4,5,1,8,2,7,3,6] => [2,2,2,2]
[3,4,1,8,2,7,5,6] => [2,2,2,2]
[3,4,1,8,6,7,2,5] => [2,2,2,2]
[3,4,2,5,1,8,6,7] => [2,2,2,2]
[3,4,2,8,1,6,5,7] => [2,2,2,2]
[3,8,2,5,1,6,4,7] => [2,2,2,2]
[4,5,2,8,1,6,3,7] => [2,2,2,2]
[4,5,3,6,1,8,2,7] => [2,2,2,2]
[7,1,5,8,4,6,2,3] => [1,3,2,2]
[8,6,7,1,4,2,5,3] => [1,2,2,2,1]
[8,6,3,7,5,1,2,4] => [1,1,2,1,3]
[7,6,1,8,3,5,2,4] => [1,1,2,2,2]
[7,6,1,3,8,5,2,4] => [1,1,3,1,2]
[7,6,8,2,4,5,1,3] => [1,2,3,2]
[7,6,2,8,3,5,1,4] => [1,1,2,2,2]
[7,6,2,3,8,5,1,4] => [1,1,3,1,2]
[8,7,1,5,2,6,3,4] => [1,1,2,2,2]
[8,7,1,5,2,3,6,4] => [1,1,2,3,1]
[8,5,2,3,1,7,6,4] => [1,1,2,2,1,1]
[8,6,2,3,7,1,5,4] => [1,1,3,2,1]
[8,6,2,7,3,1,5,4] => [1,1,2,1,2,1]
[8,6,7,2,4,1,5,3] => [1,2,2,2,1]
[8,7,2,5,1,6,3,4] => [1,1,2,2,2]
[8,4,2,1,7,6,3,5] => [1,1,1,2,1,2]
[8,5,2,7,1,6,3,4] => [1,1,2,2,2]
[8,5,7,2,1,4,3,6] => [1,2,1,2,2]
[5,8,7,3,1,4,2,6] => [2,1,1,2,2]
[5,8,7,3,1,4,6,2] => [2,1,1,3,1]
[8,5,7,2,1,4,6,3] => [1,2,1,3,1]
[8,5,2,7,1,3,6,4] => [1,1,2,3,1]
[8,4,2,1,3,7,6,5] => [1,1,1,3,1,1]
[8,7,4,1,2,3,6,5] => [1,1,1,4,1]
[8,7,4,1,2,6,3,5] => [1,1,1,3,2]
[8,4,3,1,7,2,6,5] => [1,1,1,2,2,1]
[8,4,3,1,2,7,6,5] => [1,1,1,3,1,1]
[8,6,1,3,7,2,5,4] => [1,1,3,2,1]
[8,5,1,3,2,7,6,4] => [1,1,2,2,1,1]
[8,5,7,4,1,6,2,3] => [1,2,1,2,2]
[8,1,6,4,7,2,5,3] => [1,2,2,2,1]
[6,1,5,8,4,2,7,3] => [1,3,1,2,1]
[5,8,3,6,4,1,2,7] => [2,2,1,3]
[5,2,8,6,4,1,3,7] => [1,2,1,1,3]
[8,4,7,5,1,6,2,3] => [1,2,1,2,2]
[8,4,7,5,1,2,6,3] => [1,2,1,3,1]
[8,4,7,5,1,2,3,6] => [1,2,1,4]
[8,7,3,5,1,2,6,4] => [1,1,2,3,1]
[8,3,2,6,5,1,4,7] => [1,1,2,1,3]
[4,8,6,3,5,1,2,7] => [2,1,2,3]
[4,8,7,3,1,5,2,6] => [2,1,1,2,2]
[8,4,7,2,1,5,3,6] => [1,2,1,2,2]
[8,3,2,7,1,5,4,6] => [1,1,2,2,2]
[8,3,2,1,7,6,4,5] => [1,1,1,2,1,2]
[8,7,3,1,4,2,6,5] => [1,1,1,2,2,1]
[8,7,3,1,6,2,4,5] => [1,1,1,2,3]
[8,7,3,1,2,6,4,5] => [1,1,1,3,2]
[8,7,3,1,2,4,6,5] => [1,1,1,4,1]
[8,3,2,1,4,7,6,5] => [1,1,1,3,1,1]
[8,3,2,1,7,4,6,5] => [1,1,1,2,2,1]
[8,3,2,7,1,5,6,4] => [1,1,2,3,1]
[8,4,7,2,1,5,6,3] => [1,2,1,3,1]
[8,7,2,1,6,3,4,5] => [1,1,1,2,3]
[8,7,2,1,3,6,4,5] => [1,1,1,3,2]
[8,7,2,1,3,4,6,5] => [1,1,1,4,1]
[3,6,5,4,1,2,8,7] => [2,1,1,3,1]
[3,8,5,6,7,4,1,2] => [2,3,1,2]
[4,7,5,8,6,2,1,3] => [2,2,1,1,2]
[2,5,7,8,6,3,4,1] => [4,1,2,1]
[4,8,5,7,6,3,1,2] => [2,2,1,1,2]
[4,6,3,2,1,5,8,7] => [2,1,1,3,1]
[6,2,1,5,3,4,8,7] => [1,1,2,3,1]
[5,8,1,3,7,6,4,2] => [2,3,1,1,1]
[4,7,2,3,6,1,8,5] => [2,3,2,1]
[3,7,4,2,8,1,5,6] => [2,1,2,3]
[4,2,6,8,5,7,3,1] => [1,3,2,1,1]
[6,4,2,7,3,8,5,1] => [1,1,2,2,1,1]
[8,1,6,7,5,3,4,2] => [1,3,1,2,1]
[2,1,5,8,7,6,3,4] => [1,3,1,1,2]
[2,1,4,7,6,3,8,5] => [1,3,1,2,1]
[6,4,7,8,5,3,2,1] => [1,3,1,1,1,1]
[4,1,3,7,6,2,8,5] => [1,3,1,2,1]
[8,5,1,6,3,2,7,4] => [1,1,2,1,2,1]
[6,3,7,1,5,2,8,4] => [1,2,2,2,1]
[3,2,6,8,4,7,5,1] => [1,3,2,1,1]
[8,4,6,1,3,2,5,7] => [1,2,2,3]
[4,2,8,6,7,3,1,5] => [1,2,2,1,2]
[7,4,3,8,2,1,5,6] => [1,1,2,1,3]
[4,7,5,8,1,6,3,2] => [2,2,2,1,1]
[6,4,3,2,7,8,1,5] => [1,1,1,3,2]
[4,2,5,1,6,7,8,3] => [1,2,4,1]
[2,4,8,5,7,1,3,6] => [3,2,3]
[3,7,1,4,6,8,5,2] => [2,4,1,1]
[7,8,2,5,6,1,4,3] => [2,3,2,1]
[2,4,3,8,7,5,6,1] => [2,2,1,2,1]
[2,6,7,3,5,1,8,4] => [3,2,2,1]
[7,6,8,4,2,5,3,1] => [1,2,1,2,1,1]
[8,5,7,1,6,3,2,4] => [1,2,2,1,2]
[6,5,7,2,8,4,3,1] => [1,2,2,1,1,1]
[3,4,8,6,5,2,1,7] => [3,1,1,1,2]
[2,7,6,1,4,5,8,3] => [2,1,4,1]
[6,5,8,2,1,7,3,4] => [1,2,1,2,2]
[7,4,3,5,1,6,8,2] => [1,1,2,3,1]
[4,1,6,3,5,8,7,2] => [1,2,3,1,1]
[6,2,5,8,4,3,7,1] => [1,3,1,2,1]
[8,6,7,1,5,4,3,2] => [1,2,2,1,1,1]
[2,1,6,5,8,4,7,3] => [1,2,2,2,1]
[2,1,6,8,5,4,3,7] => [1,3,1,1,2]
[4,1,8,5,6,2,3,7] => [1,2,2,3]
[2,6,4,8,7,3,5,1] => [2,2,1,2,1]
[6,2,8,4,3,5,1,7] => [1,2,1,2,2]
[4,8,2,7,6,1,3,5] => [2,2,1,3]
[3,1,8,2,7,5,4,6] => [1,2,2,1,2]
[3,8,1,2,6,7,4,5] => [2,4,2]
[5,8,4,3,2,7,1,6] => [2,1,1,2,2]
[7,4,8,6,3,2,5,1] => [1,2,1,1,2,1]
[5,8,4,7,2,1,3,6] => [2,2,1,3]
[2,1,8,4,3,7,5,6] => [1,2,1,2,2]
[6,3,8,2,4,5,7,1] => [1,2,4,1]
[5,8,4,2,3,6,1,7] => [2,1,3,2]
[5,8,2,4,3,1,6,7] => [2,2,1,3]
[2,8,3,1,6,4,5,7] => [2,1,2,3]
[8,2,1,3,4,7,5,6] => [1,1,4,2]
[1,4,8,2,6,3,5,7] => [3,2,3]
[1,2,7,3,5,4,8,6] => [3,2,2,1]
[1,2,3,8,4,5,7,6] => [4,3,1]
[1,2,8,3,4,5,7,6] => [3,4,1]
[1,3,8,2,6,4,5,7] => [3,2,3]
[1,5,7,2,3,6,4,8] => [3,3,2]
[1,7,2,3,5,4,8,6] => [2,3,2,1]
[1,3,8,2,4,5,7,6] => [3,4,1]
[1,2,3,8,4,6,7,5] => [4,3,1]
[1,8,2,3,5,4,6,7] => [2,3,3]
[1,7,8,2,3,6,4,5] => [3,3,2]
[1,6,7,8,2,3,5,4] => [4,3,1]
[1,7,8,2,5,3,6,4] => [3,2,2,1]
[1,7,8,2,4,5,3,6] => [3,3,2]
[1,2,8,3,6,4,5,7] => [3,2,3]
[1,8,2,3,6,4,5,7] => [2,3,3]
[1,2,8,3,5,4,6,7] => [3,2,3]
[1,2,7,8,3,6,4,5] => [4,2,2]
[1,5,2,7,8,3,6,4] => [2,3,2,1]
[1,3,2,8,4,6,7,5] => [2,2,3,1]
[1,8,2,3,4,6,7,5] => [2,5,1]
[1,7,8,2,4,3,6,5] => [3,2,2,1]
[7,6,3,1,5,2,4,8] => [1,1,1,2,3]
[6,7,3,1,5,2,8,4] => [2,1,2,2,1]
[6,8,3,1,5,2,7,4] => [2,1,2,2,1]
[6,8,4,5,1,2,7,3] => [2,2,3,1]
[6,7,4,5,1,2,8,3] => [2,2,3,1]
[7,2,1,6,5,3,4,8] => [1,1,2,1,3]
[7,3,6,1,5,2,4,8] => [1,2,2,3]
[7,4,6,5,1,2,3,8] => [1,2,1,4]
[6,7,5,4,1,2,8,3] => [2,1,1,3,1]
[5,8,6,4,1,7,2,3] => [2,1,1,2,2]
[5,7,6,4,1,8,2,3] => [2,1,1,2,2]
[5,6,7,4,1,8,2,3] => [3,1,2,2]
[6,5,7,4,1,2,8,3] => [1,2,1,3,1]
[6,4,7,5,1,2,8,3] => [1,2,1,3,1]
[6,2,1,7,5,3,8,4] => [1,1,2,1,2,1]
[6,3,8,1,5,2,7,4] => [1,2,2,2,1]
[6,4,8,5,1,2,7,3] => [1,2,1,3,1]
[6,5,8,4,1,2,7,3] => [1,2,1,3,1]
[5,6,8,4,1,7,2,3] => [3,1,2,2]
[4,6,8,5,7,1,2,3] => [3,2,3]
[4,5,8,6,7,1,2,3] => [3,2,3]
[5,4,8,6,1,7,2,3] => [1,2,1,2,2]
[5,3,8,1,6,7,2,4] => [1,2,3,2]
[5,2,1,8,6,7,3,4] => [1,1,2,2,2]
[5,2,1,7,6,8,3,4] => [1,1,2,2,2]
[5,4,7,6,1,8,2,3] => [1,2,1,2,2]
[4,5,7,6,8,1,2,3] => [3,2,3]
[4,6,7,5,8,1,2,3] => [3,2,3]
[4,8,6,5,7,1,2,3] => [2,1,2,3]
[4,8,5,6,7,1,2,3] => [2,3,3]
[4,7,5,6,8,1,2,3] => [2,3,3]
[4,6,5,7,8,1,2,3] => [2,3,3]
[5,7,4,6,1,8,2,3] => [2,2,2,2]
[5,8,4,6,1,7,2,3] => [2,2,2,2]
[5,8,3,1,6,7,2,4] => [2,1,3,2]
[5,7,3,1,6,8,2,4] => [2,1,3,2]
[5,6,3,1,7,8,2,4] => [2,1,3,2]
[6,2,1,4,3,8,7,5] => [1,1,2,2,1,1]
[5,8,3,1,7,6,2,4] => [2,1,2,1,2]
[5,7,4,8,1,6,2,3] => [2,2,2,2]
[5,2,1,6,8,7,3,4] => [1,1,3,1,2]
[5,4,6,8,1,7,2,3] => [1,3,2,2]
[4,5,6,8,7,1,2,3] => [4,1,3]
[4,7,5,8,6,1,2,3] => [2,2,1,3]
[4,8,5,7,6,1,2,3] => [2,2,1,3]
[4,8,6,7,5,1,2,3] => [2,2,1,3]
[4,7,6,8,5,1,2,3] => [2,2,1,3]
[4,6,7,8,5,1,2,3] => [4,1,3]
[4,5,7,8,6,1,2,3] => [4,1,3]
[5,4,7,8,1,6,2,3] => [1,3,2,2]
[5,3,7,1,8,6,2,4] => [1,2,2,1,2]
[5,2,1,7,8,6,3,4] => [1,1,3,1,2]
[5,3,8,1,7,6,2,4] => [1,2,2,1,2]
[5,4,8,7,1,6,2,3] => [1,2,1,2,2]
[4,6,8,7,5,1,2,3] => [3,1,1,3]
[4,7,8,6,5,1,2,3] => [3,1,1,3]
[4,8,7,6,5,1,2,3] => [2,1,1,1,3]
[2,5,4,7,3,6,1,8] => [2,2,2,2]
[2,4,6,3,7,5,1,8] => [3,2,1,2]
[4,2,7,3,6,5,1,8] => [1,2,2,1,2]
[4,2,6,3,1,5,8,7] => [1,2,1,3,1]
[2,5,3,1,6,4,8,7] => [2,1,2,2,1]
[2,5,3,7,6,4,1,8] => [2,2,1,1,2]
[2,6,5,3,7,4,1,8] => [2,1,2,1,2]
[4,2,7,6,3,5,1,8] => [1,2,1,2,2]
[2,7,5,3,6,4,1,8] => [2,1,2,1,2]
[2,6,3,7,5,4,1,8] => [2,2,1,1,2]
[1,7,5,2,3,8,4,6] => [2,1,3,2]
[2,1,3,7,5,4,8,6] => [1,3,1,2,1]
[2,3,1,8,6,5,4,7] => [2,2,1,1,2]
[2,5,3,1,8,6,4,7] => [2,1,2,1,2]
[4,2,8,3,1,6,5,7] => [1,2,1,2,2]
[8,3,2,6,4,1,5,7] => [1,1,2,1,3]
[3,6,8,2,1,4,5,7] => [3,1,4]
[1,5,2,8,3,4,7,6] => [2,2,3,1]
[1,2,6,3,8,7,4,5] => [3,2,1,2]
[1,2,8,3,6,4,7,5] => [3,2,2,1]
[1,2,7,6,3,4,8,5] => [3,1,3,1]
[2,1,3,8,7,5,4,6] => [1,3,1,1,2]
[1,2,3,8,6,4,7,5] => [4,1,2,1]
[1,2,3,7,4,8,6,5] => [4,2,1,1]
[1,2,7,6,3,8,4,5] => [3,1,2,2]
[1,2,3,6,4,8,7,5] => [4,2,1,1]
[1,2,3,7,6,4,8,5] => [4,1,2,1]
[2,6,3,1,8,5,4,7] => [2,1,2,1,2]
[2,1,3,8,5,4,7,6] => [1,3,1,2,1]
[7,1,8,4,2,3,5,6] => [1,2,1,4]
[2,1,8,4,3,5,7,6] => [1,2,1,3,1]
[4,2,6,3,1,8,5,7] => [1,2,1,2,2]
[5,4,2,8,3,1,6,7] => [1,1,2,1,3]
[3,5,8,2,4,1,6,7] => [3,2,3]
[2,5,4,8,3,1,6,7] => [2,2,1,3]
[4,2,1,8,3,5,7,6] => [1,1,2,3,1]
[1,8,7,4,2,3,5,6] => [2,1,1,4]
[1,5,2,8,7,3,4,6] => [2,2,1,3]
[1,2,7,3,6,4,8,5] => [3,2,2,1]
[1,2,8,6,3,7,4,5] => [3,1,2,2]
[1,2,7,3,8,6,4,5] => [3,2,1,2]
[1,2,3,8,4,7,6,5] => [4,2,1,1]
[1,2,7,3,4,8,6,5] => [3,3,1,1]
[1,2,6,3,8,4,7,5] => [3,2,2,1]
[1,5,2,3,8,7,4,6] => [2,3,1,2]
[4,2,1,8,3,7,5,6] => [1,1,2,2,2]
[8,3,2,1,7,4,5,6] => [1,1,1,2,3]
[1,8,4,2,7,3,5,6] => [2,1,2,3]
[1,2,8,6,3,4,7,5] => [3,1,3,1]
[1,2,7,3,8,4,6,5] => [3,2,2,1]
[1,2,3,8,7,4,6,5] => [4,1,2,1]
[1,2,3,8,7,6,4,5] => [4,1,1,2]
[2,5,3,8,1,6,4,7] => [2,2,2,2]
[2,6,4,7,1,5,3,8] => [2,2,2,2]
[2,6,5,7,1,4,3,8] => [2,2,2,2]
[3,8,5,7,1,2,6,4] => [2,2,3,1]
[3,8,5,7,2,6,4,1] => [2,2,2,1,1]
[3,4,8,6,2,5,7,1] => [3,1,3,1]
[3,4,8,6,1,2,5,7] => [3,1,4]
[2,5,7,1,4,8,6,3] => [3,3,1,1]
[2,4,8,1,5,7,6,3] => [3,3,1,1]
[2,4,3,8,1,6,5,7] => [2,2,2,2]
[2,8,1,7,5,6,4,3] => [2,2,2,1,1]
[2,3,8,1,6,5,7,4] => [3,2,2,1]
[2,4,8,1,3,5,7,6] => [3,4,1]
[3,5,7,6,1,2,4,8] => [3,1,4]
[3,5,7,6,2,4,8,1] => [3,1,3,1]
[4,8,6,7,2,3,5,1] => [2,2,3,1]
[4,8,6,7,1,2,3,5] => [2,2,4]
[4,8,6,7,1,3,5,2] => [2,2,3,1]
[3,4,8,6,1,5,7,2] => [3,1,3,1]
[3,8,5,7,1,6,4,2] => [2,2,2,1,1]
[3,2,8,5,6,1,7,4] => [1,2,2,2,1]
[3,8,5,7,2,1,6,4] => [2,2,1,2,1]
[3,4,8,6,2,1,5,7] => [3,1,1,3]
[3,5,7,6,2,1,4,8] => [3,1,1,3]
[4,8,6,7,2,1,3,5] => [2,2,1,3]
[4,8,6,7,3,5,2,1] => [2,2,2,1,1]
[5,8,6,7,3,4,2,1] => [2,2,2,1,1]
[5,8,6,7,2,1,3,4] => [2,2,1,3]
[5,8,6,7,2,1,4,3] => [2,2,1,2,1]
[4,8,6,7,2,1,5,3] => [2,2,1,2,1]
[4,3,1,7,5,2,8,6] => [1,1,2,1,2,1]
[4,3,2,8,5,1,7,6] => [1,1,2,1,2,1]
[4,3,8,5,1,6,7,2] => [1,2,1,3,1]
[4,8,6,7,1,5,3,2] => [2,2,2,1,1]
[5,8,6,7,1,4,3,2] => [2,2,2,1,1]
[5,8,6,7,2,3,4,1] => [2,2,3,1]
[5,8,6,7,2,4,3,1] => [2,2,2,1,1]
[5,8,6,7,1,2,4,3] => [2,2,3,1]
[4,2,3,8,5,1,6,7] => [1,3,1,3]
[4,2,8,5,1,7,6,3] => [1,2,1,2,1,1]
[3,4,2,8,5,6,1,7] => [2,2,2,2]
[3,2,4,8,6,1,5,7] => [1,3,1,3]
[3,2,5,7,6,1,4,8] => [1,3,1,3]
[4,8,6,7,1,3,2,5] => [2,2,2,2]
[4,8,6,7,1,2,5,3] => [2,2,3,1]
[4,8,6,7,2,5,3,1] => [2,2,2,1,1]
[4,3,8,5,2,6,7,1] => [1,2,1,3,1]
[4,3,8,5,1,2,6,7] => [1,2,1,4]
[4,2,6,7,5,1,3,8] => [1,3,1,3]
[3,8,5,7,1,4,2,6] => [2,2,2,2]
[3,8,4,7,1,5,2,6] => [2,2,2,2]
[3,5,2,8,4,6,1,7] => [2,2,2,2]
[3,5,1,7,4,6,2,8] => [2,2,2,2]
[3,8,4,7,2,5,1,6] => [2,2,2,2]
[4,1,3,8,5,2,6,7] => [1,3,1,3]
[4,1,2,6,7,5,3,8] => [1,4,1,2]
[4,2,6,7,5,3,8,1] => [1,3,1,2,1]
[4,8,6,7,3,2,5,1] => [2,2,1,2,1]
[4,8,6,7,3,1,2,5] => [2,2,1,3]
[3,1,5,7,6,2,4,8] => [1,3,1,3]
[3,4,1,7,5,6,2,8] => [2,2,2,2]
[4,1,7,5,2,8,6,3] => [1,2,1,2,1,1]
[4,1,6,7,5,2,3,8] => [1,3,1,3]
[4,8,6,7,2,3,1,5] => [2,2,2,2]
[5,8,6,7,3,2,4,1] => [2,2,1,2,1]
[5,8,6,7,4,2,3,1] => [2,2,1,2,1]
[5,8,6,7,4,1,2,3] => [2,2,1,3]
[5,8,6,7,4,1,3,2] => [2,2,1,2,1]
[5,8,6,7,3,1,4,2] => [2,2,1,2,1]
[4,8,6,7,3,1,5,2] => [2,2,1,2,1]
[4,1,6,7,5,3,8,2] => [1,3,1,2,1]
[4,1,7,5,3,2,8,6] => [1,2,1,1,2,1]
[4,2,8,5,3,1,7,6] => [1,2,1,1,2,1]
[4,2,1,6,7,5,3,8] => [1,1,3,1,2]
[4,8,6,7,3,2,1,5] => [2,2,1,1,2]
[5,8,6,7,4,2,1,3] => [2,2,1,1,2]
[5,8,6,7,4,3,1,2] => [2,2,1,1,2]
[7,3,5,8,1,4,2,6] => [1,3,2,2]
[3,8,7,6,1,4,2,5] => [2,1,1,2,2]
[5,1,8,3,6,7,2,4] => [1,2,3,2]
[1,4,7,8,5,6,2,3] => [4,2,2]
[3,4,7,1,5,8,6,2] => [3,3,1,1]
[3,6,1,4,7,8,5,2] => [2,4,1,1]
[1,6,8,4,7,5,2,3] => [3,2,1,2]
[6,8,1,3,5,7,2,4] => [2,4,2]
[7,6,1,4,3,8,2,5] => [1,1,2,2,2]
[3,8,1,6,5,4,2,7] => [2,2,1,1,2]
[4,1,3,7,5,8,2,6] => [1,3,2,2]
[6,1,7,3,8,4,2,5] => [1,2,2,1,2]
[7,1,8,6,3,5,2,4] => [1,2,1,2,2]
[3,1,7,6,5,8,4,2] => [1,2,1,2,1,1]
[8,2,7,6,5,3,4,1] => [1,2,1,1,2,1]
[8,4,2,6,7,5,3,1] => [1,1,3,1,1,1]
[4,8,1,6,7,5,3,2] => [2,3,1,1,1]
[7,4,1,6,8,2,5,3] => [1,1,3,2,1]
[1,3,8,6,2,7,5,4] => [3,1,2,1,1]
[6,1,3,2,7,8,4,5] => [1,2,3,2]
[1,8,6,2,5,3,4,7] => [2,1,2,3]
[4,7,2,6,8,1,5,3] => [2,3,2,1]
[8,7,3,6,4,5,2,1] => [1,1,2,2,1,1]
[5,7,8,6,2,1,4,3] => [3,1,1,2,1]
[2,7,4,1,6,8,3,5] => [2,1,3,2]
[3,7,2,4,5,1,6,8] => [2,3,3]
[1,8,6,4,5,2,3,7] => [2,1,2,3]
[2,8,4,6,5,1,3,7] => [2,2,1,3]
[3,4,1,7,5,2,6,8] => [2,2,1,3]
[7,5,8,6,1,2,4,3] => [1,2,1,3,1]
[5,6,8,7,3,1,4,2] => [3,1,1,2,1]
[2,5,4,3,6,8,1,7] => [2,1,3,2]
[3,8,5,4,6,2,1,7] => [2,1,2,1,2]
[4,8,2,1,3,7,5,6] => [2,1,3,2]
[6,4,1,2,7,5,8,3] => [1,1,3,2,1]
[4,1,8,3,6,7,5,2] => [1,2,3,1,1]
[8,3,7,4,5,2,6,1] => [1,2,2,2,1]
[4,3,7,8,5,1,6,2] => [1,3,1,2,1]
[5,4,8,2,7,6,1,3] => [1,2,2,1,2]
[1,2,7,3,6,5,8,4] => [3,2,2,1]
[2,8,7,6,3,4,1,5] => [2,1,1,2,2]
[5,8,2,6,3,4,1,7] => [2,2,2,2]
[4,1,7,5,8,6,2,3] => [1,2,2,1,2]
[5,1,7,8,4,3,6,2] => [1,3,1,2,1]
[8,2,7,5,4,3,6,1] => [1,2,1,1,2,1]
[6,3,8,1,4,7,5,2] => [1,2,3,1,1]
[3,8,4,5,6,1,2,7] => [2,3,3]
[1,4,3,5,7,8,2,6] => [2,4,2]
[6,5,8,7,1,3,4,2] => [1,2,1,3,1]
[3,6,7,2,4,8,1,5] => [3,3,2]
[1,5,2,7,4,3,8,6] => [2,2,1,2,1]
[2,8,5,6,4,3,1,7] => [2,2,1,1,2]
[1,8,6,5,4,3,2,7] => [2,1,1,1,1,2]
[6,1,5,2,8,4,7,3] => [1,2,2,2,1]
[4,6,1,8,5,7,2,3] => [2,2,2,2]
[4,7,1,2,8,5,6,3] => [2,3,2,1]
[1,4,7,2,8,5,6,3] => [3,2,2,1]
[1,7,3,5,8,6,2,4] => [2,3,1,2]
[7,3,5,8,6,1,2,4] => [1,3,1,3]
[3,6,8,1,5,7,2,4] => [3,3,2]
[3,4,6,5,8,1,7,2] => [3,2,2,1]
[6,8,1,5,7,2,3,4] => [2,3,3]
[7,1,2,5,8,6,3,4] => [1,4,1,2]
[1,7,2,5,8,6,3,4] => [2,3,1,2]
[1,7,6,8,2,3,5,4] => [2,2,3,1]
[7,6,8,1,2,3,5,4] => [1,2,4,1]
[2,7,1,5,8,6,3,4] => [2,3,1,2]
[2,4,7,1,8,5,6,3] => [3,2,2,1]
[4,7,5,8,3,1,6,2] => [2,2,1,2,1]
[4,7,2,1,8,5,6,3] => [2,1,2,2,1]
[7,6,8,2,1,3,5,4] => [1,2,1,3,1]
[1,2,7,6,8,3,5,4] => [3,2,2,1]
[3,7,6,8,2,1,5,4] => [2,2,1,2,1]
[7,4,2,1,6,8,5,3] => [1,1,1,3,1,1]
[6,7,4,1,8,5,3,2] => [2,1,2,1,1,1]
[6,7,4,3,1,8,5,2] => [2,1,1,2,1,1]
[2,7,4,1,6,8,5,3] => [2,1,3,1,1]
[2,3,7,6,8,1,5,4] => [3,2,2,1]
[7,4,2,6,8,5,1,3] => [1,1,3,1,2]
[7,3,2,5,8,6,1,4] => [1,1,3,1,2]
[3,1,7,6,8,2,5,4] => [1,2,2,2,1]
[3,7,6,8,1,2,5,4] => [2,2,3,1]
[1,3,7,6,8,2,5,4] => [3,2,2,1]
[1,7,4,2,6,8,5,3] => [2,1,3,1,1]
[7,4,1,2,6,8,5,3] => [1,1,4,1,1]
[7,1,4,2,8,5,6,3] => [1,2,2,2,1]
[7,1,8,2,5,4,6,3] => [1,2,2,2,1]
[7,3,8,4,6,1,5,2] => [1,2,2,2,1]
[7,2,8,1,6,4,5,3] => [1,2,2,2,1]
[7,1,6,8,5,4,2,3] => [1,3,1,1,2]
[7,1,2,6,8,5,4,3] => [1,4,1,1,1]
[1,7,2,6,8,5,4,3] => [2,3,1,1,1]
[1,7,6,8,3,2,5,4] => [2,2,1,2,1]
[7,6,8,3,1,2,5,4] => [1,2,1,3,1]
[7,1,5,8,6,3,2,4] => [1,3,1,1,2]
[7,2,5,8,6,3,1,4] => [1,3,1,1,2]
[3,6,7,1,8,5,4,2] => [3,2,1,1,1]
[7,2,6,8,5,4,1,3] => [1,3,1,1,2]
[7,6,8,2,3,1,5,4] => [1,2,2,2,1]
[2,7,6,8,3,1,5,4] => [2,2,1,2,1]
[2,7,1,6,8,5,4,3] => [2,3,1,1,1]
[6,7,3,1,8,5,4,2] => [2,1,2,1,1,1]
[6,7,1,8,5,4,3,2] => [2,2,1,1,1,1]
[7,2,1,6,8,5,4,3] => [1,1,3,1,1,1]
[7,6,8,3,2,1,5,4] => [1,2,1,1,2,1]
[4,7,8,5,6,1,3,2] => [3,2,2,1]
[4,6,5,8,7,1,3,2] => [2,2,1,2,1]
[5,6,4,8,1,2,7,3] => [2,2,3,1]
[8,1,5,6,7,2,4,3] => [1,4,2,1]
[6,4,5,1,8,2,7,3] => [1,2,2,2,1]
[5,4,6,7,1,2,8,3] => [1,3,3,1]
[4,3,6,7,2,1,5,8] => [1,3,1,3]
[5,3,6,7,1,4,2,8] => [1,3,2,2]
[8,1,4,6,7,3,2,5] => [1,4,1,2]
[8,1,3,6,7,4,5,2] => [1,4,2,1]
[7,2,1,6,8,4,5,3] => [1,1,3,2,1]
[5,2,6,7,1,4,8,3] => [1,3,3,1]
[4,2,6,7,3,1,8,5] => [1,3,1,2,1]
[6,2,4,1,5,8,7,3] => [1,2,3,1,1]
[7,2,1,5,4,8,6,3] => [1,1,2,2,1,1]
[8,1,4,5,3,7,2,6] => [1,3,2,2]
[7,3,1,5,4,8,2,6] => [1,1,2,2,2]
[6,3,4,1,5,8,2,7] => [1,2,3,2]
[5,3,4,2,1,8,6,7] => [1,2,1,2,2]
[4,3,5,2,7,1,6,8] => [1,2,2,3]
[5,6,3,8,1,4,2,7] => [2,2,2,2]
[8,1,7,2,4,5,6,3] => [1,2,4,1]
[7,6,1,2,4,5,8,3] => [1,1,5,1]
[4,7,8,2,3,1,6,5] => [3,2,2,1]
[5,6,2,8,1,4,7,3] => [2,2,3,1]
[6,5,2,1,3,7,8,4] => [1,1,1,4,1]
[7,5,1,3,2,6,8,4] => [1,1,2,3,1]
[8,1,6,3,2,5,7,4] => [1,2,1,3,1]
[7,4,1,3,5,2,8,6] => [1,1,3,2,1]
[5,4,2,3,1,6,8,7] => [1,1,2,3,1]
[7,3,1,4,5,6,2,8] => [1,1,4,2]
[8,1,4,3,5,6,2,7] => [1,2,3,2]
[6,2,3,1,5,7,8,4] => [1,2,4,1]
[7,8,4,2,1,6,5,3] => [2,1,1,2,1,1]
[7,8,4,2,1,5,6,3] => [2,1,1,3,1]
[6,2,3,4,8,7,1,5] => [1,4,1,2]
[6,2,3,4,7,8,1,5] => [1,5,2]
[7,8,3,4,6,2,1,5] => [2,3,1,2]
[7,8,3,6,4,2,1,5] => [2,2,1,1,2]
[7,8,3,5,6,2,1,4] => [2,3,1,2]
[6,2,3,8,7,5,1,4] => [1,3,1,1,2]
[6,2,3,7,8,5,1,4] => [1,4,1,2]
[5,2,6,3,8,1,7,4] => [1,2,2,2,1]
[6,3,2,5,8,7,1,4] => [1,1,3,1,2]
[6,3,2,8,4,7,1,5] => [1,1,2,2,2]
[6,4,3,8,7,5,1,2] => [1,1,2,1,1,2]
[6,4,3,7,8,5,1,2] => [1,1,3,1,2]
[6,2,4,1,7,3,5,8] => [1,2,2,3]
[6,3,2,7,4,8,1,5] => [1,1,2,2,2]
[6,3,2,5,7,8,1,4] => [1,1,4,2]
[5,7,2,3,6,1,8,4] => [2,3,2,1]
[5,8,2,3,6,1,7,4] => [2,3,2,1]
[4,7,5,8,3,2,1,6] => [2,2,1,1,2]
[4,5,6,8,3,2,1,7] => [4,1,1,2]
[4,6,8,5,3,2,1,7] => [3,1,1,1,2]
[5,6,1,4,2,3,7,8] => [2,2,4]
[5,6,8,4,3,7,1,2] => [3,1,2,2]
[5,6,1,4,2,3,8,7] => [2,2,3,1]
[5,2,8,3,4,1,7,6] => [1,2,2,2,1]
[4,5,8,6,3,2,1,7] => [3,1,1,1,2]
[4,6,5,8,3,2,1,7] => [2,2,1,1,2]
[4,7,5,6,3,2,1,8] => [2,2,1,1,2]
[6,2,3,4,5,8,1,7] => [1,5,2]
[5,1,4,3,6,2,8,7] => [1,2,2,2,1]
[5,1,4,3,7,2,8,6] => [1,2,2,2,1]
[5,1,4,3,8,2,7,6] => [1,2,2,2,1]
[5,6,2,4,1,7,8,3] => [2,2,3,1]
[5,6,2,4,1,8,7,3] => [2,2,2,1,1]
[5,7,2,4,1,8,6,3] => [2,2,2,1,1]
[6,1,4,2,8,7,5,3] => [1,2,2,1,1,1]
[6,1,4,2,7,8,5,3] => [1,2,3,1,1]
[5,8,2,4,1,7,6,3] => [2,2,2,1,1]
[5,2,7,4,1,6,8,3] => [1,2,1,3,1]
[5,4,1,3,7,2,6,8] => [1,1,3,3]
[5,1,4,3,6,2,7,8] => [1,2,2,3]
[5,8,6,4,3,7,1,2] => [2,1,1,2,2]
[5,8,1,4,2,3,7,6] => [2,2,3,1]
[5,1,6,3,4,2,7,8] => [1,2,2,3]
[4,8,6,5,3,2,1,7] => [2,1,1,1,1,2]
[4,8,5,6,3,2,1,7] => [2,2,1,1,2]
[5,4,7,8,3,2,1,6] => [1,3,1,1,2]
[5,4,8,7,3,2,1,6] => [1,2,1,1,1,2]
[4,6,8,7,3,2,1,5] => [3,1,1,1,2]
[4,6,7,8,3,2,1,5] => [4,1,1,2]
[4,7,6,8,3,2,1,5] => [2,2,1,1,2]
[4,7,8,5,3,2,1,6] => [3,1,1,1,2]
[5,7,1,3,4,2,6,8] => [2,3,3]
[5,1,8,4,2,3,6,7] => [1,2,1,4]
[5,1,7,4,2,3,6,8] => [1,2,1,4]
[5,8,1,3,4,2,6,7] => [2,3,3]
[4,8,7,5,3,2,1,6] => [2,1,1,1,1,2]
[4,7,8,6,3,2,1,5] => [3,1,1,1,2]
[4,8,7,6,3,2,1,5] => [2,1,1,1,1,2]
[4,8,2,6,3,7,5,1] => [2,2,2,1,1]
[4,8,2,3,6,7,5,1] => [2,4,1,1]
[4,8,3,1,6,7,5,2] => [2,1,3,1,1]
[4,3,8,1,6,2,5,7] => [1,2,2,3]
[1,4,8,7,3,5,2,6] => [3,1,2,2]
[4,3,8,7,2,5,1,6] => [1,2,1,2,2]
[5,8,4,3,7,1,6,2] => [2,1,2,2,1]
[5,8,1,4,7,2,6,3] => [2,3,2,1]
[5,8,1,7,4,2,3,6] => [2,2,1,3]
[6,8,1,2,4,3,5,7] => [2,3,3]
[5,8,7,1,3,4,2,6] => [2,1,3,2]
[4,8,7,6,3,1,2,5] => [2,1,1,1,3]
[5,8,4,7,3,1,2,6] => [2,2,1,3]
[4,3,8,2,7,5,6,1] => [1,2,2,2,1]
[1,4,8,3,7,5,6,2] => [3,2,2,1]
[1,4,3,8,2,6,5,7] => [2,2,2,2]
[4,3,2,8,1,6,5,7] => [1,1,2,2,2]
[4,1,3,8,2,6,5,7] => [1,3,2,2]
[4,1,8,3,7,5,6,2] => [1,2,2,2,1]
[4,1,8,7,3,5,2,6] => [1,2,1,2,2]
[3,7,8,1,5,4,2,6] => [3,2,1,2]
[7,3,8,1,5,4,6,2] => [1,2,2,2,1]
[3,4,8,1,6,2,5,7] => [3,2,3]
[3,4,8,7,2,5,1,6] => [3,1,2,2]
[3,4,8,2,7,5,6,1] => [3,2,2,1]
[1,2,4,8,3,6,5,7] => [4,2,2]
[1,2,4,3,8,6,5,7] => [3,2,1,2]
[3,4,2,1,8,6,5,7] => [2,1,2,1,2]
[3,4,1,8,2,6,5,7] => [2,2,2,2]
[3,6,7,8,4,1,2,5] => [4,1,3]
[4,1,7,8,5,3,2,6] => [1,3,1,1,2]
[4,1,2,8,3,6,5,7] => [1,3,2,2]
[1,4,3,2,8,6,5,7] => [2,1,2,1,2]
[4,2,3,1,8,6,5,7] => [1,2,2,1,2]
[3,7,6,8,4,2,1,5] => [2,2,1,1,2]
[4,7,1,8,5,2,3,6] => [2,2,1,3]
[2,6,8,7,4,3,1,5] => [3,1,1,1,2]
[3,7,8,6,2,4,1,5] => [3,1,2,2]
[3,7,8,2,6,4,5,1] => [3,2,2,1]
[4,2,3,8,1,6,5,7] => [1,3,2,2]
[4,3,1,8,2,6,5,7] => [1,1,2,2,2]
[1,4,7,8,5,3,2,6] => [4,1,1,2]
[4,3,7,8,5,2,1,6] => [1,3,1,1,2]
[3,7,2,8,4,6,5,1] => [2,2,2,1,1]
[4,2,8,6,3,1,5,7] => [1,2,1,1,3]
[2,6,8,4,7,3,1,5] => [3,2,1,2]
[2,4,8,6,3,1,5,7] => [3,1,1,3]
[7,3,6,8,4,2,1,5] => [1,3,1,1,2]
[7,6,2,8,3,5,4,1] => [1,1,2,2,1,1]
[1,7,3,8,4,6,5,2] => [2,2,2,1,1]
[1,3,4,8,2,6,5,7] => [4,2,2]
[3,2,4,8,1,6,5,7] => [1,3,2,2]
[7,3,8,6,2,4,1,5] => [1,2,1,2,2]
[7,3,8,2,6,4,5,1] => [1,2,2,2,1]
[2,4,8,3,6,1,5,7] => [3,2,3]
[6,2,8,7,4,3,5,1] => [1,2,1,1,2,1]
[7,4,1,8,5,2,6,3] => [1,1,2,1,2,1]
[7,3,2,8,4,6,5,1] => [1,1,2,2,1,1]
[2,4,3,1,8,6,5,7] => [2,1,2,1,2]
[1,3,4,2,8,6,5,7] => [3,2,1,2]
[1,3,2,4,8,6,5,7] => [2,3,1,2]
[3,2,1,4,8,6,5,7] => [1,1,3,1,2]
[3,1,2,4,8,6,5,7] => [1,4,1,2]
[3,1,4,2,8,6,5,7] => [1,2,2,1,2]
[3,1,4,8,2,6,5,7] => [1,3,2,2]
[7,3,4,8,5,1,6,2] => [1,3,1,2,1]
[3,7,4,8,5,1,2,6] => [2,2,1,3]
[6,7,2,8,3,5,4,1] => [2,2,2,1,1]
[2,3,1,4,8,6,5,7] => [2,3,1,2]
[2,1,3,4,8,6,5,7] => [1,4,1,2]
[1,2,3,4,8,6,5,7] => [5,1,2]
[4,8,3,6,2,1,5,7] => [2,2,1,3]
[3,5,8,2,6,1,4,7] => [3,2,3]
[3,6,5,8,2,4,1,7] => [2,2,2,2]
[5,3,8,7,2,4,6,1] => [1,2,1,3,1]
[2,8,4,5,7,3,6,1] => [2,3,2,1]
[2,4,5,7,3,8,1,6] => [4,2,2]
[6,2,4,5,8,3,1,7] => [1,4,1,2]
[4,8,1,2,5,6,3,7] => [2,4,2]
[8,1,3,5,2,6,4,7] => [1,3,2,2]
[5,2,1,6,3,8,4,7] => [1,1,2,2,2]
[6,2,5,1,8,4,3,7] => [1,2,2,1,2]
[3,6,1,5,8,4,2,7] => [2,3,1,2]
[6,1,4,5,8,3,2,7] => [1,4,1,2]
[5,6,4,8,1,3,2,7] => [2,2,2,2]
[6,5,4,3,8,2,1,7] => [1,1,1,2,1,2]
[5,4,3,7,2,8,1,6] => [1,1,2,2,2]
[5,8,4,3,7,2,6,1] => [2,1,2,2,1]
[4,6,8,3,7,2,5,1] => [3,2,2,1]
[7,4,6,3,2,8,1,5] => [1,2,1,2,2]
[1,4,3,6,2,7,8,5] => [2,2,3,1]
[1,5,4,3,7,2,8,6] => [2,1,2,2,1]
[4,7,8,5,3,1,2,6] => [3,1,1,3]
[5,7,3,4,1,2,8,6] => [2,2,3,1]
[8,5,4,7,6,2,1,3] => [1,1,2,1,1,2]
[8,5,7,4,3,6,1,2] => [1,2,1,2,2]
[4,3,8,1,6,7,5,2] => [1,2,3,1,1]
[4,7,8,3,6,1,5,2] => [3,2,2,1]
[5,3,8,6,7,4,1,2] => [1,2,2,1,2]
[1,3,8,6,4,7,5,2] => [3,1,2,1,1]
[8,6,2,7,4,1,5,3] => [1,1,2,1,2,1]
[7,6,2,1,4,3,8,5] => [1,1,1,2,2,1]
[7,6,1,3,4,2,8,5] => [1,1,3,2,1]
[1,5,7,3,2,6,8,4] => [3,1,3,1]
[1,6,7,3,2,5,8,4] => [3,1,3,1]
[3,2,6,8,5,7,4,1] => [1,3,2,1,1]
[5,8,2,3,6,7,4,1] => [2,4,1,1]
[7,5,2,3,1,6,8,4] => [1,1,2,3,1]
[1,6,4,7,2,3,8,5] => [2,2,3,1]
[3,1,7,5,2,8,4,6] => [1,2,1,2,2]
[2,5,7,4,1,8,3,6] => [3,1,2,2]
[4,2,6,1,7,8,3,5] => [1,2,3,2]
[4,2,7,6,3,8,1,5] => [1,2,1,2,2]
[6,4,8,7,2,3,5,1] => [1,2,1,3,1]
[3,2,6,8,7,4,5,1] => [1,3,1,2,1]
[3,2,7,4,1,6,8,5] => [1,2,1,3,1]
[6,3,2,1,7,8,4,5] => [1,1,1,3,2]
[3,7,1,8,4,2,5,6] => [2,2,1,3]
[4,2,1,3,7,5,8,6] => [1,1,3,2,1]
[8,1,3,7,4,2,6,5] => [1,3,1,2,1]
[8,4,3,7,6,2,1,5] => [1,1,2,1,1,2]
[8,3,5,2,7,6,1,4] => [1,2,2,1,2]
[3,6,2,8,7,1,5,4] => [2,2,1,2,1]
[7,3,2,8,1,6,5,4] => [1,1,2,2,1,1]
[3,8,7,2,6,5,4,1] => [2,1,2,1,1,1]
[4,2,7,8,6,1,5,3] => [1,3,1,2,1]
[6,8,2,4,7,1,5,3] => [2,3,2,1]
[5,2,1,8,7,3,6,4] => [1,1,2,1,2,1]
[8,2,1,6,3,7,5,4] => [1,1,2,2,1,1]
[6,8,3,1,7,5,2,4] => [2,1,2,1,2]
[5,8,1,6,7,2,4,3] => [2,3,2,1]
[6,2,8,1,5,7,4,3] => [1,2,3,1,1]
[5,7,8,2,6,1,4,3] => [3,2,2,1]
[8,7,2,5,6,4,3,1] => [1,1,3,1,1,1]
[8,6,7,5,2,4,3,1] => [1,2,1,2,1,1]
[7,2,6,8,1,5,4,3] => [1,3,2,1,1]
[1,2,7,8,5,6,4,3] => [4,2,1,1]
[7,4,8,1,6,2,5,3] => [1,2,2,2,1]
[3,7,1,8,2,6,5,4] => [2,2,2,1,1]
[2,1,7,3,8,6,5,4] => [1,2,2,1,1,1]
[8,2,1,7,6,5,4,3] => [1,1,2,1,1,1,1]
[8,1,4,7,6,5,3,2] => [1,3,1,1,1,1]
[8,6,7,5,1,4,3,2] => [1,2,1,2,1,1]
[7,8,6,5,4,1,3,2] => [2,1,1,1,2,1]
[5,8,4,3,2,1,6,7] => [2,1,1,1,3]
[6,4,7,3,2,1,8,5] => [1,2,1,1,2,1]
[5,4,7,3,2,1,6,8] => [1,2,1,1,3]
[6,5,3,7,2,1,4,8] => [1,1,2,1,3]
[5,8,3,6,2,1,4,7] => [2,2,1,3]
[6,3,7,8,2,1,4,5] => [1,3,1,3]
[5,3,7,6,2,1,4,8] => [1,2,1,1,3]
[3,8,7,6,2,1,4,5] => [2,1,1,1,3]
[5,8,4,2,6,1,3,7] => [2,1,2,3]
[4,8,7,2,5,1,3,6] => [2,1,2,3]
[5,8,3,2,6,1,4,7] => [2,1,2,3]
[4,8,3,2,5,1,7,6] => [2,1,2,2,1]
[4,3,7,2,5,1,8,6] => [1,2,2,2,1]
[3,8,7,2,5,1,4,6] => [2,1,2,3]
[6,4,2,7,5,1,3,8] => [1,1,2,1,3]
[6,3,2,7,5,1,4,8] => [1,1,2,1,3]
[5,3,2,6,7,1,4,8] => [1,1,3,3]
[3,8,2,6,5,1,4,7] => [2,2,1,3]
[6,2,7,8,5,1,3,4] => [1,3,1,3]
[5,2,7,6,8,1,3,4] => [1,2,2,3]
[4,2,7,6,5,1,3,8] => [1,2,1,1,3]
[2,8,7,6,5,1,3,4] => [2,1,1,1,3]
[6,5,4,3,1,7,8,2] => [1,1,1,1,3,1]
[6,4,7,3,1,5,8,2] => [1,2,1,3,1]
[5,4,7,3,1,8,6,2] => [1,2,1,2,1,1]
[6,4,3,7,1,5,8,2] => [1,1,2,3,1]
[5,4,3,6,1,8,7,2] => [1,1,2,2,1,1]
[6,3,7,8,1,4,5,2] => [1,3,3,1]
[5,3,7,6,1,4,8,2] => [1,2,1,3,1]
[4,3,7,6,1,5,8,2] => [1,2,1,3,1]
[3,8,7,6,1,4,5,2] => [2,1,1,3,1]
[6,5,4,2,1,7,3,8] => [1,1,1,1,2,2]
[6,4,7,2,1,5,3,8] => [1,2,1,2,2]
[4,8,7,2,1,5,3,6] => [2,1,1,2,2]
[5,8,3,2,1,4,7,6] => [2,1,1,3,1]
[4,8,3,2,1,5,7,6] => [2,1,1,3,1]
[5,3,7,2,1,4,8,6] => [1,2,1,3,1]
[3,8,7,2,1,4,5,6] => [2,1,1,4]
[6,5,2,7,1,4,3,8] => [1,1,2,2,2]
[5,8,2,6,1,4,3,7] => [2,2,2,2]
[6,4,2,7,1,5,3,8] => [1,1,2,2,2]
[5,4,2,6,1,8,3,7] => [1,1,2,2,2]
[4,3,2,6,1,5,8,7] => [1,1,2,3,1]
[6,2,7,8,1,4,3,5] => [1,3,2,2]
[4,2,7,6,1,5,3,8] => [1,2,1,2,2]
[3,2,7,6,1,4,5,8] => [1,2,1,4]
[6,5,4,1,8,7,3,2] => [1,1,1,2,1,1,1]
[5,8,4,1,6,7,3,2] => [2,1,3,1,1]
[6,4,7,1,5,8,3,2] => [1,2,3,1,1]
[5,4,7,1,6,8,3,2] => [1,2,3,1,1]
[4,8,7,1,5,6,3,2] => [2,1,3,1,1]
[5,4,3,1,6,8,7,2] => [1,1,1,3,1,1]
[4,8,3,1,5,6,7,2] => [2,1,4,1]
[3,8,7,1,5,4,6,2] => [2,1,2,2,1]
[5,8,2,1,6,4,3,7] => [2,1,2,1,2]
[6,3,2,1,5,4,8,7] => [1,1,1,2,2,1]
[5,3,2,1,6,4,8,7] => [1,1,1,2,2,1]
[3,8,2,1,5,4,6,7] => [2,1,2,3]
[6,2,7,1,5,4,3,8] => [1,2,2,1,2]
[5,2,7,1,6,4,3,8] => [1,2,2,1,2]
[4,2,7,1,5,6,3,8] => [1,2,3,2]
[3,2,7,1,5,4,6,8] => [1,2,2,3]
[2,8,7,1,5,4,3,6] => [2,1,2,1,2]
[6,5,1,7,8,4,3,2] => [1,1,3,1,1,1]
[5,8,1,6,7,4,3,2] => [2,3,1,1,1]
[6,4,1,7,5,8,3,2] => [1,1,2,2,1,1]
[5,4,1,6,7,8,3,2] => [1,1,4,1,1]
[4,8,1,6,5,7,3,2] => [2,2,2,1,1]
[6,3,1,7,5,4,8,2] => [1,1,2,1,2,1]
[5,3,1,6,7,4,8,2] => [1,1,3,2,1]
[4,3,1,6,5,7,8,2] => [1,1,2,3,1]
[3,8,1,6,5,4,7,2] => [2,2,1,2,1]
[5,2,1,6,7,4,3,8] => [1,1,3,1,2]
[4,2,1,6,5,7,3,8] => [1,1,2,2,2]
[2,8,1,6,5,4,3,7] => [2,2,1,1,2]
[6,1,7,8,5,4,3,2] => [1,3,1,1,1,1]
[4,1,7,6,5,8,3,2] => [1,2,1,2,1,1]
[3,1,7,6,5,4,8,2] => [1,2,1,1,2,1]
[4,5,8,1,2,6,3,7] => [3,3,2]
[1,4,5,7,2,6,3,8] => [4,2,2]
[1,7,3,5,6,2,4,8] => [2,3,3]
[8,1,3,5,7,2,4,6] => [1,4,3]
[3,6,8,1,7,2,4,5] => [3,2,3]
[3,4,5,6,8,1,7,2] => [5,2,1]
[4,5,8,2,6,7,1,3] => [3,3,2]
[8,2,3,5,6,7,1,4] => [1,5,2]
[1,7,2,3,5,4,6,8] => [2,3,3]
[8,1,2,3,5,4,6,7] => [1,4,3]
[2,7,8,1,3,5,4,6] => [3,3,2]
[2,7,8,3,5,6,1,4] => [3,3,2]
[2,4,5,7,8,1,6,3] => [5,2,1]
[4,5,8,1,7,6,3,2] => [3,2,1,1,1]
[4,5,8,7,2,1,6,3] => [3,1,1,2,1]
[8,7,3,5,6,2,1,4] => [1,1,3,1,2]
[8,7,2,1,3,5,4,6] => [1,1,1,3,2]
[3,6,8,7,2,1,5,4] => [3,1,1,2,1]
[8,6,4,1,7,5,3,2] => [1,1,1,2,1,1,1]
[7,6,4,3,1,8,5,2] => [1,1,1,1,2,1,1]
[2,3,6,7,8,1,5,4] => [5,2,1]
[3,6,8,1,2,5,4,7] => [3,3,2]
[1,3,6,7,2,5,4,8] => [4,2,2]
[7,4,1,8,5,2,3,6] => [1,1,2,1,3]
[7,1,4,2,8,3,6,5] => [1,2,2,2,1]
[7,1,8,2,5,3,6,4] => [1,2,2,2,1]
[8,1,7,5,4,2,3,6] => [1,2,1,1,3]
[1,7,2,6,5,4,3,8] => [2,2,1,1,2]
[1,7,6,3,2,5,4,8] => [2,1,1,2,2]
[8,6,3,1,2,5,4,7] => [1,1,1,3,2]
[8,1,7,6,3,2,4,5] => [1,2,1,1,3]
[8,2,5,7,6,3,1,4] => [1,3,1,1,2]
[3,6,8,1,7,5,4,2] => [3,2,1,1,1]
[8,2,6,7,5,4,1,3] => [1,3,1,1,2]
[2,7,8,6,3,1,5,4] => [3,1,1,2,1]
[2,7,8,1,6,5,4,3] => [3,2,1,1,1]
[7,3,1,8,6,5,4,2] => [1,1,2,1,1,1,1]
[8,7,2,1,6,5,4,3] => [1,1,1,2,1,1,1]
[8,7,6,3,2,1,5,4] => [1,1,1,1,1,2,1]
[2,1,8,6,3,7,4,5] => [1,2,1,2,2]
[8,6,1,5,2,7,4,3] => [1,1,2,2,1,1]
[8,5,1,7,4,2,6,3] => [1,1,2,1,2,1]
[2,1,7,5,4,3,8,6] => [1,2,1,1,2,1]
[2,1,8,4,5,3,6,7] => [1,2,2,3]
[2,1,7,8,3,6,5,4] => [1,3,2,1,1]
[2,1,4,8,5,7,3,6] => [1,3,2,2]
[2,1,5,4,6,8,3,7] => [1,2,3,2]
[8,5,3,1,6,2,4,7] => [1,1,1,2,3]
[6,4,1,5,2,3,8,7] => [1,1,2,3,1]
[8,3,7,5,2,6,1,4] => [1,2,1,2,2]
[5,3,7,4,6,8,1,2] => [1,2,3,2]
[5,8,3,7,6,2,1,4] => [2,2,1,1,2]
[5,2,4,8,6,3,1,7] => [1,3,1,1,2]
[4,2,6,3,8,5,1,7] => [1,2,2,1,2]
[4,6,3,2,7,8,1,5] => [2,1,3,2]
[3,8,2,4,7,5,1,6] => [2,3,1,2]
[8,5,2,7,4,6,1,3] => [1,1,2,2,2]
[5,8,2,1,7,6,4,3] => [2,1,2,1,1,1]
[8,3,2,4,1,7,5,6] => [1,1,2,2,2]
[7,2,4,3,1,5,8,6] => [1,2,1,3,1]
[7,8,3,1,5,4,6,2] => [2,1,2,2,1]
[7,2,8,1,4,6,5,3] => [1,2,3,1,1]
[6,2,3,1,4,5,8,7] => [1,2,4,1]
[5,6,1,4,3,2,8,7] => [2,2,1,2,1]
[6,8,1,4,5,3,2,7] => [2,3,1,2]
[6,7,1,5,4,3,8,2] => [2,2,1,2,1]
[8,7,5,1,3,4,2,6] => [1,1,1,3,2]
[8,2,6,1,4,7,3,5] => [1,2,3,2]
[5,8,1,6,3,7,4,2] => [2,2,2,1,1]
[8,3,5,6,1,7,4,2] => [1,3,2,1,1]
[7,5,4,8,2,1,3,6] => [1,1,2,1,3]
[7,3,6,5,4,1,8,2] => [1,2,1,1,2,1]
[8,3,6,4,5,1,2,7] => [1,2,2,3]
[6,3,5,4,1,2,8,7] => [1,2,1,3,1]
[2,6,3,5,1,4,8,7] => [2,2,3,1]
[2,7,8,5,1,6,4,3] => [3,1,2,1,1]
[8,7,3,6,5,1,4,2] => [1,1,2,1,2,1]
[2,8,3,4,6,1,5,7] => [2,3,3]
[2,7,4,3,6,1,8,5] => [2,1,2,2,1]
[3,4,7,2,8,1,5,6] => [3,2,3]
[4,2,3,5,8,1,6,7] => [1,4,3]
[3,2,8,4,7,1,6,5] => [1,2,2,2,1]
[3,8,4,7,1,6,5,2] => [2,2,2,1,1]
[3,2,4,6,1,5,8,7] => [1,3,3,1]
[8,3,4,5,7,6,1,2] => [1,4,1,2]
[2,3,8,4,6,7,1,5] => [3,3,2]
[3,2,4,5,6,8,1,7] => [1,5,2]
[5,6,8,1,4,2,7,3] => [3,2,2,1]
[1,5,7,8,4,6,2,3] => [4,2,2]
[1,3,5,7,8,6,2,4] => [5,1,2]
[3,5,7,8,6,1,2,4] => [4,1,3]
[3,5,1,6,8,2,7,4] => [2,3,2,1]
[3,1,5,6,8,2,7,4] => [1,4,2,1]
[2,3,5,6,8,1,7,4] => [5,2,1]
[5,6,4,8,2,1,7,3] => [2,2,1,2,1]
[5,1,6,3,8,4,7,2] => [1,2,2,2,1]
[2,5,1,6,8,3,7,4] => [2,3,2,1]
[5,1,2,6,8,3,7,4] => [1,4,2,1]
[5,7,1,8,6,2,3,4] => [2,2,1,3]
[1,5,2,7,8,6,3,4] => [2,3,1,2]
[1,6,7,5,2,8,3,4] => [3,1,2,2]
[6,1,7,5,2,8,3,4] => [1,2,1,2,2]
[2,6,7,5,1,8,3,4] => [3,1,2,2]
[5,7,2,8,6,1,3,4] => [2,2,1,3]
[3,5,7,8,6,2,1,4] => [4,1,1,2]
[5,1,7,8,6,3,4,2] => [1,3,1,2,1]
[5,1,3,7,8,6,4,2] => [1,4,1,1,1]
[5,2,7,8,4,6,1,3] => [1,3,2,2]
[3,2,5,7,8,6,1,4] => [1,4,1,2]
[6,2,7,5,1,8,3,4] => [1,2,1,2,2]
[1,2,6,7,5,8,3,4] => [4,2,2]
[6,2,7,5,4,1,8,3] => [1,2,1,1,2,1]
[6,7,5,2,4,1,8,3] => [2,1,2,2,1]
[6,7,2,5,3,8,1,4] => [2,2,2,2]
[6,7,4,5,2,1,8,3] => [2,2,1,2,1]
[5,1,7,8,6,4,3,2] => [1,3,1,1,1,1]
[2,5,7,8,6,3,1,4] => [4,1,1,2]
[5,1,7,8,6,3,2,4] => [1,3,1,1,2]
[6,3,7,5,1,8,2,4] => [1,2,1,2,2]
[1,6,7,5,3,8,2,4] => [3,1,2,2]
[1,6,7,5,4,2,8,3] => [3,1,1,2,1]
[6,7,5,1,4,2,8,3] => [2,1,2,2,1]
[5,7,8,6,4,1,2,3] => [3,1,1,3]
[4,1,7,2,6,5,8,3] => [1,2,2,2,1]
[2,4,7,1,5,6,8,3] => [3,4,1]
[6,7,4,1,5,2,8,3] => [2,1,2,2,1]
[1,6,7,4,5,2,8,3] => [3,2,2,1]
[1,6,3,7,5,8,2,4] => [2,2,2,2]
[6,3,1,7,5,8,2,4] => [1,1,2,2,2]
[2,5,3,7,8,6,1,4] => [2,3,1,2]
[6,7,5,4,2,1,8,3] => [2,1,1,1,2,1]
[6,3,2,7,5,8,1,4] => [1,1,2,2,2]
[6,7,4,2,5,1,8,3] => [2,1,2,2,1]
[6,2,7,4,5,1,8,3] => [1,2,2,2,1]
[6,2,3,7,5,8,1,4] => [1,3,2,2]
[4,5,1,6,3,2,8,7] => [2,2,1,2,1]
[7,5,1,6,3,8,2,4] => [1,1,2,2,2]
[7,5,1,6,3,8,4,2] => [1,1,2,2,1,1]
[2,7,6,1,3,8,4,5] => [2,1,3,2]
[2,7,6,1,3,8,5,4] => [2,1,3,1,1]
[7,3,5,1,8,2,6,4] => [1,2,2,2,1]
[7,3,5,1,8,2,4,6] => [1,2,2,3]
[3,7,5,1,8,6,2,4] => [2,1,2,1,2]
[2,6,7,1,5,8,3,4] => [3,3,2]
[2,6,7,4,1,8,3,5] => [3,1,2,2]
[2,1,6,7,3,8,5,4] => [1,3,2,1,1]
[2,6,7,4,1,8,5,3] => [3,1,2,1,1]
[2,6,7,1,5,8,4,3] => [3,3,1,1]
[3,6,5,1,8,4,7,2] => [2,1,2,2,1]
[3,6,5,1,8,4,2,7] => [2,1,2,1,2]
[3,7,5,4,8,1,6,2] => [2,1,2,2,1]
[3,7,5,4,8,1,2,6] => [2,1,2,3]
[4,6,1,5,8,7,3,2] => [2,3,1,1,1]
[4,6,1,5,8,7,2,3] => [2,3,1,2]
[4,6,1,5,8,2,7,3] => [2,3,2,1]
[7,5,1,6,2,8,3,4] => [1,1,2,2,2]
[7,5,1,6,2,8,4,3] => [1,1,2,2,1,1]
[4,6,1,5,8,2,3,7] => [2,3,3]
[4,7,1,5,8,3,6,2] => [2,3,2,1]
[2,3,4,7,8,1,6,5] => [5,2,1]
[6,8,5,4,3,2,7,1] => [2,1,1,1,2,1]
[6,8,5,4,3,7,2,1] => [2,1,1,2,1,1]
[5,8,4,3,2,1,7,6] => [2,1,1,1,2,1]
[6,5,4,3,1,8,7,2] => [1,1,1,1,2,1,1]
[8,7,5,4,3,1,6,2] => [1,1,1,1,1,2,1]
[8,3,4,6,2,1,5,7] => [1,3,1,3]
[3,5,6,2,1,8,4,7] => [3,1,2,2]
[3,5,2,6,8,4,1,7] => [2,3,1,2]
[7,5,3,2,8,4,1,6] => [1,1,1,2,1,2]
[7,5,3,2,8,4,6,1] => [1,1,1,2,2,1]
[2,4,5,7,3,8,6,1] => [4,2,1,1]
[4,2,5,6,8,3,1,7] => [1,4,1,2]
[4,2,8,1,5,6,3,7] => [1,2,3,2]
[2,5,6,1,8,4,3,7] => [3,2,1,2]
[5,3,6,8,1,4,2,7] => [1,3,2,2]
[4,5,6,8,1,3,2,7] => [4,2,2]
[1,4,5,6,8,3,2,7] => [5,1,2]
[4,5,6,3,8,2,1,7] => [3,2,1,2]
[4,5,3,7,2,8,6,1] => [2,2,2,1,1]
[6,4,7,3,2,8,5,1] => [1,2,1,2,1,1]
[6,1,4,7,3,2,8,5] => [1,3,1,2,1]
[1,7,8,4,5,3,2,6] => [3,2,1,2]
[5,1,7,3,8,4,2,6] => [1,2,2,1,2]
[2,5,1,7,4,3,8,6] => [2,2,1,2,1]
[2,5,7,4,1,8,6,3] => [3,1,2,1,1]
[5,3,7,1,4,8,6,2] => [1,2,3,1,1]
[6,4,3,1,7,8,5,2] => [1,1,1,3,1,1]
[6,4,1,7,3,8,5,2] => [1,1,2,2,1,1]
[5,6,3,7,8,4,2,1] => [2,3,1,1,1]
[5,1,6,3,7,8,4,2] => [1,2,3,1,1]
[5,6,1,3,7,8,4,2] => [2,4,1,1]
[5,6,1,7,8,3,4,2] => [2,3,2,1]
[1,6,3,7,4,8,5,2] => [2,2,2,1,1]
[6,7,2,4,1,8,5,3] => [2,2,2,1,1]
[6,7,2,1,4,3,8,5] => [2,1,2,2,1]
[6,4,7,3,1,2,8,5] => [1,2,1,3,1]
[5,6,3,1,2,7,8,4] => [2,1,4,1]
[5,6,1,3,2,7,8,4] => [2,2,3,1]
[5,6,3,2,1,7,8,4] => [2,1,1,3,1]
[2,5,6,3,7,8,4,1] => [3,3,1,1]
[2,5,6,3,1,7,8,4] => [3,1,3,1]
[2,6,4,7,3,1,8,5] => [2,2,1,2,1]
[6,3,7,2,8,4,5,1] => [1,2,2,2,1]
[6,3,7,2,8,4,1,5] => [1,2,2,1,2]
[6,3,2,7,1,8,4,5] => [1,1,2,2,2]
[7,5,3,2,1,8,4,6] => [1,1,1,1,2,2]
[7,3,8,4,2,1,5,6] => [1,2,1,1,3]
[4,7,2,1,3,8,6,5] => [2,1,3,1,1]
[1,3,7,8,6,4,2,5] => [4,1,1,2]
[7,3,8,4,6,2,1,5] => [1,2,2,1,2]
[5,7,3,8,2,1,6,4] => [2,2,1,2,1]
[6,3,7,8,5,2,1,4] => [1,3,1,1,2]
[4,6,2,7,8,5,3,1] => [2,3,1,1,1]
[4,6,2,1,7,8,5,3] => [2,1,3,1,1]
[7,4,5,8,1,2,6,3] => [1,3,3,1]
[2,5,1,7,3,8,6,4] => [2,2,2,1,1]
[6,7,2,1,3,8,5,4] => [2,1,3,1,1]
[5,1,6,7,8,2,4,3] => [1,4,2,1]
[6,3,7,1,8,5,2,4] => [1,2,2,1,2]
[6,2,1,7,3,8,5,4] => [1,1,2,2,1,1]
[6,2,7,1,8,5,4,3] => [1,2,2,1,1,1]
[6,3,1,7,8,5,4,2] => [1,1,3,1,1,1]
[4,1,3,6,8,2,5,7] => [1,4,3]
[4,2,3,6,8,1,5,7] => [1,4,3]
[5,3,2,1,8,4,7,6] => [1,1,1,2,2,1]
[3,6,5,8,2,1,7,4] => [2,2,1,2,1]
[4,5,2,1,3,8,7,6] => [2,1,3,1,1]
[3,2,6,4,5,8,1,7] => [1,2,3,2]
[2,4,6,5,8,1,3,7] => [3,2,3]
[1,6,2,4,5,8,3,7] => [2,4,2]
[5,3,2,1,6,8,4,7] => [1,1,1,3,2]
[6,2,4,5,8,1,3,7] => [1,4,3]
[1,3,4,6,5,8,2,7] => [4,2,2]
[1,6,3,4,5,8,2,7] => [2,4,2]
[3,4,1,8,5,2,7,6] => [2,2,1,2,1]
[2,8,4,1,7,6,3,5] => [2,1,2,1,2]
[8,1,4,2,7,3,6,5] => [1,2,2,2,1]
[1,5,3,2,8,7,4,6] => [2,1,2,1,2]
[8,2,1,7,5,3,4,6] => [1,1,2,1,3]
[1,7,6,4,5,8,3,2] => [2,1,3,1,1]
[5,8,7,4,1,2,6,3] => [2,1,1,3,1]
[5,8,7,4,6,2,1,3] => [2,1,2,1,2]
[3,4,2,5,8,6,7,1] => [2,3,2,1]
[4,1,3,5,6,8,7,2] => [1,5,1,1]
[2,4,8,6,7,1,3,5] => [3,2,3]
[4,3,6,2,8,1,7,5] => [1,2,2,2,1]
[3,7,4,8,2,1,6,5] => [2,2,1,2,1]
[2,3,5,8,6,7,1,4] => [4,2,2]
[3,2,5,6,8,7,1,4] => [1,4,1,2]
[2,1,8,5,6,7,3,4] => [1,2,3,2]
[1,2,8,3,5,6,7,4] => [3,4,1]
[4,2,3,7,1,8,6,5] => [1,3,2,1,1]
[3,2,6,4,8,1,7,5] => [1,2,2,2,1]
[8,2,1,6,7,3,4,5] => [1,1,3,3]
[2,7,8,5,4,1,3,6] => [3,1,1,3]
[1,7,5,3,8,4,2,6] => [2,1,2,1,2]
[4,7,5,3,1,2,8,6] => [2,1,1,3,1]
[7,2,4,8,5,3,1,6] => [1,3,1,1,2]
[4,8,3,1,2,7,6,5] => [2,1,3,1,1]
[3,5,2,7,4,1,8,6] => [2,2,1,2,1]
[8,4,2,3,7,1,5,6] => [1,1,3,3]
[2,8,4,7,1,3,5,6] => [2,2,4]
[8,2,4,6,7,1,3,5] => [1,4,3]
[4,8,2,3,6,7,1,5] => [2,4,2]
[3,5,2,7,6,1,8,4] => [2,2,1,2,1]
[1,6,3,2,5,8,7,4] => [2,1,3,1,1]
[5,8,3,2,1,6,7,4] => [2,1,1,3,1]
[5,8,7,3,4,6,2,1] => [2,1,3,1,1]
[5,8,2,7,4,1,6,3] => [2,2,1,2,1]
[5,1,4,2,8,7,6,3] => [1,2,2,1,1,1]
[4,7,6,5,8,2,1,3] => [2,1,2,1,2]
[5,3,7,1,6,2,8,4] => [1,2,2,2,1]
[5,2,6,8,7,1,3,4] => [1,3,1,3]
[6,3,2,1,8,5,7,4] => [1,1,1,2,2,1]
[2,7,5,4,1,8,6,3] => [2,1,1,2,1,1]
[4,2,5,6,8,7,1,3] => [1,4,1,2]
[1,8,4,2,5,6,7,3] => [2,1,4,1]
[3,8,4,1,5,6,7,2] => [2,1,4,1]
[4,2,8,5,6,7,1,3] => [1,2,3,2]
[5,2,4,7,1,8,6,3] => [1,3,2,1,1]
[5,3,4,7,1,8,6,2] => [1,3,2,1,1]
[8,6,4,1,3,2,5,7] => [1,1,1,2,3]
[8,1,3,6,5,2,4,7] => [1,3,1,3]
[8,1,4,3,6,5,2,7] => [1,2,2,1,2]
[3,6,5,2,1,8,7,4] => [2,1,1,2,1,1]
[8,3,2,4,6,5,1,7] => [1,1,3,1,2]
[8,4,2,1,6,5,3,7] => [1,1,1,2,1,2]
[8,4,1,2,6,5,3,7] => [1,1,3,1,2]
[8,6,4,2,1,5,3,7] => [1,1,1,1,2,2]
[8,3,6,4,1,5,2,7] => [1,2,1,2,2]
[8,2,6,3,4,5,1,7] => [1,2,3,2]
[1,3,4,8,5,7,2,6] => [4,2,2]
[5,8,4,7,6,2,3,1] => [2,2,1,2,1]
[1,3,4,7,5,8,2,6] => [4,2,2]
[1,3,5,2,4,8,7,6] => [3,3,1,1]
[2,6,5,1,3,8,7,4] => [2,1,3,1,1]
[4,7,1,6,5,8,3,2] => [2,2,2,1,1]
[5,4,8,7,6,3,1,2] => [1,2,1,1,1,2]
[2,8,5,1,4,7,6,3] => [2,1,3,1,1]
[4,3,1,5,8,6,7,2] => [1,1,3,2,1]
[4,1,3,5,8,6,7,2] => [1,4,2,1]
[6,5,3,8,4,7,1,2] => [1,1,2,2,2]
[5,4,2,1,6,8,7,3] => [1,1,1,3,1,1]
[6,8,4,3,2,7,1,5] => [2,1,1,2,2]
[3,4,7,8,2,1,6,5] => [4,1,2,1]
[5,1,3,2,8,6,7,4] => [1,2,2,2,1]
[5,3,1,2,8,6,7,4] => [1,1,3,2,1]
[5,2,3,1,6,8,7,4] => [1,2,3,1,1]
[5,3,2,1,8,6,7,4] => [1,1,1,2,2,1]
[5,2,1,3,6,8,7,4] => [1,1,4,1,1]
[2,4,7,3,8,1,6,5] => [3,2,2,1]
[6,3,8,2,7,4,1,5] => [1,2,2,1,2]
[8,2,1,3,6,4,7,5] => [1,1,3,2,1]
[3,5,1,7,8,4,2,6] => [2,3,1,2]
[2,7,4,5,8,3,1,6] => [2,3,1,2]
[1,8,4,3,7,2,6,5] => [2,1,2,2,1]
[3,4,8,7,2,1,6,5] => [3,1,1,2,1]
[5,4,7,8,3,6,2,1] => [1,3,2,1,1]
[6,4,3,8,7,2,1,5] => [1,1,2,1,1,2]
[6,3,8,7,4,1,2,5] => [1,2,1,1,3]
[3,5,7,2,4,8,1,6] => [3,3,2]
[8,4,7,2,3,1,5,6] => [1,2,2,3]
[8,4,7,1,3,2,5,6] => [1,2,2,3]
[8,4,7,2,1,3,5,6] => [1,2,1,4]
[8,6,4,2,1,3,7,5] => [1,1,1,1,3,1]
[8,6,4,1,3,2,7,5] => [1,1,1,2,2,1]
[8,6,4,2,3,1,7,5] => [1,1,1,2,2,1]
[3,5,7,2,6,1,8,4] => [3,2,2,1]
[6,1,3,8,5,7,2,4] => [1,3,2,2]
[5,8,3,2,6,7,1,4] => [2,1,3,2]
[4,8,5,3,6,2,7,1] => [2,1,2,2,1]
[2,8,1,5,4,7,6,3] => [2,2,2,1,1]
[1,5,8,7,4,6,2,3] => [3,1,2,2]
[2,1,7,6,4,5,8,3] => [1,2,1,3,1]
[1,7,2,4,6,5,8,3] => [2,3,2,1]
[3,5,1,7,6,8,2,4] => [2,2,2,2]
[5,8,2,6,1,3,7,4] => [2,2,3,1]
[6,3,5,8,7,2,1,4] => [1,3,1,1,2]
[2,5,7,8,4,1,6,3] => [4,1,2,1]
[4,2,8,1,5,6,7,3] => [1,2,4,1]
[4,1,5,2,6,8,7,3] => [1,2,3,1,1]
[3,4,5,1,6,8,7,2] => [3,3,1,1]
[4,2,8,5,1,6,7,3] => [1,2,1,3,1]
[4,1,8,5,2,6,7,3] => [1,2,1,3,1]
[2,7,1,8,5,4,6,3] => [2,2,1,2,1]
[5,8,6,2,1,3,7,4] => [2,1,1,3,1]
[8,2,4,1,5,6,7,3] => [1,2,4,1]
[4,6,3,5,8,1,7,2] => [2,3,2,1]
[1,7,8,3,5,4,6,2] => [3,2,2,1]
[3,4,5,1,8,6,7,2] => [3,2,2,1]
[3,8,1,4,5,6,7,2] => [2,5,1]
[3,4,5,6,8,2,1,7] => [5,1,2]
[3,4,5,7,1,8,6,2] => [4,2,1,1]
[3,4,5,7,8,2,6,1] => [5,2,1]
[3,4,6,2,8,5,1,7] => [3,2,1,2]
[3,4,6,8,1,5,2,7] => [4,2,2]
[3,4,7,2,1,8,6,5] => [3,1,2,1,1]
[3,4,7,8,1,5,6,2] => [4,3,1]
[3,4,8,2,1,5,6,7] => [3,1,4]
[3,5,2,6,7,8,1,4] => [2,4,2]
[3,5,2,7,8,4,6,1] => [2,3,2,1]
[3,5,2,8,4,1,6,7] => [2,2,1,3]
[3,5,6,2,8,4,1,7] => [3,2,1,2]
[3,5,6,8,4,1,2,7] => [4,1,3]
[3,5,7,2,4,8,6,1] => [3,3,1,1]
[3,5,7,2,8,4,6,1] => [3,2,2,1]
[3,5,7,8,4,1,6,2] => [4,1,2,1]
[3,6,2,1,7,8,5,4] => [2,1,3,1,1]
[3,6,2,1,8,5,4,7] => [2,1,2,1,2]
[3,6,7,2,4,8,5,1] => [3,3,1,1]
[3,6,7,2,8,5,4,1] => [3,2,1,1,1]
[3,6,7,8,4,5,1,2] => [4,2,2]
[3,6,8,2,4,5,1,7] => [3,3,2]
[3,7,2,1,4,8,6,5] => [2,1,3,1,1]
[3,7,2,1,8,5,6,4] => [2,1,2,2,1]
[3,7,2,8,4,5,6,1] => [2,2,3,1]
[3,7,8,2,4,5,6,1] => [3,4,1]
[3,8,2,1,4,5,6,7] => [2,1,5]
[4,1,5,6,7,8,3,2] => [1,5,1,1]
[4,1,5,7,3,8,6,2] => [1,3,2,1,1]
[4,1,6,3,7,8,5,2] => [1,2,3,1,1]
[4,1,6,3,8,5,2,7] => [1,2,2,1,2]
[4,1,6,7,3,8,5,2] => [1,3,2,1,1]
[4,1,6,7,8,5,2,3] => [1,4,1,2]
[4,1,6,8,3,5,2,7] => [1,3,2,2]
[4,1,7,3,2,8,6,5] => [1,2,1,2,1,1]
[4,1,7,8,3,5,6,2] => [1,3,3,1]
[4,1,8,3,2,5,6,7] => [1,2,1,4]
[4,5,2,6,7,8,3,1] => [2,4,1,1]
[4,5,2,6,8,1,3,7] => [2,3,3]
[4,5,6,3,8,1,2,7] => [3,2,3]
[4,5,6,8,3,1,2,7] => [4,1,3]
[4,5,7,3,8,1,6,2] => [3,2,2,1]
[4,5,8,3,2,1,6,7] => [3,1,1,3]
[4,6,2,3,7,8,5,1] => [2,4,1,1]
[4,6,2,3,8,5,1,7] => [2,3,1,2]
[4,6,2,7,3,8,5,1] => [2,2,2,1,1]
[4,6,2,7,8,5,1,3] => [2,3,1,2]
[4,6,7,3,2,8,5,1] => [3,1,2,1,1]
[4,6,8,3,2,5,1,7] => [3,1,2,2]
[4,7,2,3,1,8,6,5] => [2,2,2,1,1]
[4,7,2,8,3,5,6,1] => [2,2,3,1]
[4,7,8,3,2,5,6,1] => [3,1,3,1]
[4,8,2,3,1,5,6,7] => [2,2,4]
[5,1,2,6,8,4,3,7] => [1,4,1,2]
[5,1,2,7,4,8,6,3] => [1,3,2,1,1]
[5,1,2,7,8,4,6,3] => [1,4,2,1]
[5,1,2,8,4,3,6,7] => [1,3,1,3]
[5,1,6,3,8,4,2,7] => [1,2,2,1,2]
[5,1,6,7,4,8,2,3] => [1,3,2,2]
[5,1,6,7,8,4,2,3] => [1,4,1,2]
[5,1,8,3,4,2,6,7] => [1,2,2,3]
[5,6,2,3,8,4,1,7] => [2,3,1,2]
[5,6,2,7,8,4,1,3] => [2,3,1,2]
[5,6,8,3,4,2,1,7] => [3,2,1,2]
[5,7,2,3,4,8,6,1] => [2,4,1,1]
[5,7,2,3,8,4,6,1] => [2,3,2,1]
[5,7,8,3,4,2,6,1] => [3,2,2,1]
[5,8,2,3,4,1,6,7] => [2,3,3]
[6,1,2,3,7,8,5,4] => [1,5,1,1]
[6,1,2,3,8,5,4,7] => [1,4,1,2]
[6,1,2,7,8,5,4,3] => [1,4,1,1,1]
[6,1,2,8,4,5,3,7] => [1,3,2,2]
[6,1,7,3,4,8,5,2] => [1,2,3,1,1]
[6,1,7,3,8,5,4,2] => [1,2,2,1,1,1]
[6,1,7,8,4,5,3,2] => [1,3,2,1,1]
[6,1,8,3,4,5,2,7] => [1,2,3,2]
[6,7,2,3,8,5,4,1] => [2,3,1,1,1]
[6,7,2,8,4,5,3,1] => [2,2,2,1,1]
[6,8,2,3,4,5,1,7] => [2,4,2]
[7,1,2,3,4,8,6,5] => [1,5,1,1]
[7,1,2,8,4,5,6,3] => [1,3,3,1]
[7,1,8,3,4,5,6,2] => [1,2,4,1]
[6,4,1,8,2,3,7,5] => [1,1,2,3,1]
[5,8,1,2,4,3,7,6] => [2,3,2,1]
[1,3,5,7,2,6,4,8] => [4,2,2]
[3,5,8,6,1,2,4,7] => [3,1,4]
[3,1,6,8,2,4,7,5] => [1,3,3,1]
[3,6,2,8,1,5,7,4] => [2,2,3,1]
[2,6,1,3,8,4,7,5] => [2,3,2,1]
[1,7,5,2,3,4,6,8] => [2,1,5]
[2,7,5,1,3,8,4,6] => [2,1,3,2]
[8,2,5,7,4,6,1,3] => [1,3,2,2]
[8,2,1,3,7,6,4,5] => [1,1,3,1,2]
[8,2,5,1,3,7,4,6] => [1,2,3,2]
[8,2,7,5,3,1,6,4] => [1,2,1,1,2,1]
[8,2,6,5,4,7,1,3] => [1,2,1,2,2]
[7,6,5,2,4,8,1,3] => [1,1,1,3,2]
[7,8,2,5,3,1,6,4] => [2,2,1,2,1]
[7,1,8,6,3,2,4,5] => [1,2,1,1,3]
[6,8,1,5,3,2,4,7] => [2,2,1,3]
[1,6,7,5,3,2,4,8] => [3,1,1,3]
[6,5,1,2,4,8,3,7] => [1,1,4,2]
[7,8,1,6,4,2,3,5] => [2,2,1,3]
[8,4,1,2,5,6,3,7] => [1,1,4,2]
[1,7,3,6,5,2,4,8] => [2,2,1,3]
[8,1,3,7,2,6,4,5] => [1,3,2,2]
[7,3,2,6,5,1,8,4] => [1,1,2,1,2,1]
[7,8,4,2,5,6,1,3] => [2,1,3,2]
[8,2,7,4,5,6,1,3] => [1,2,3,2]
[8,2,3,6,5,1,7,4] => [1,3,1,2,1]
[4,8,6,5,7,3,2,1] => [2,1,2,1,1,1]
[3,8,7,5,4,6,2,1] => [2,1,1,2,1,1]
[4,8,5,6,7,3,2,1] => [2,3,1,1,1]
[2,8,7,6,4,3,5,1] => [2,1,1,1,2,1]
[3,8,7,4,5,6,2,1] => [2,1,3,1,1]
[1,8,7,6,5,3,2,4] => [2,1,1,1,1,2]
[2,8,7,6,3,4,5,1] => [2,1,1,3,1]
[1,8,7,6,5,2,3,4] => [2,1,1,1,3]
[7,2,8,6,5,4,1,3] => [1,2,1,1,1,2]
[7,2,8,5,4,6,1,3] => [1,2,1,2,2]
[6,3,2,8,5,1,7,4] => [1,1,2,1,2,1]
[8,4,7,2,5,6,3,1] => [1,2,3,1,1]
[6,8,5,4,3,1,7,2] => [2,1,1,1,2,1]
[5,8,6,4,1,3,7,2] => [2,1,1,3,1]
[4,8,6,1,5,3,7,2] => [2,1,2,2,1]
[3,6,1,8,5,2,7,4] => [2,2,1,2,1]
[3,4,1,2,8,6,7,5] => [2,3,2,1]
[6,8,3,5,4,1,7,2] => [2,2,1,2,1]
[7,2,5,8,3,6,1,4] => [1,3,2,2]
[1,7,5,6,3,4,2,8] => [2,2,2,2]
[7,2,6,8,5,3,1,4] => [1,3,1,1,2]
[7,6,3,8,5,2,1,4] => [1,1,2,1,1,2]
[7,2,6,4,8,3,1,5] => [1,2,2,1,2]
[1,5,7,4,2,6,3,8] => [3,1,2,2]
[4,2,3,1,7,8,5,6] => [1,2,3,2]
[5,2,8,4,1,7,6,3] => [1,2,1,2,1,1]
[8,6,3,4,7,2,5,1] => [1,1,3,2,1]
[6,8,3,4,5,1,7,2] => [2,3,2,1]
[1,6,3,2,5,8,4,7] => [2,1,3,2]
[8,3,2,1,5,4,7,6] => [1,1,1,2,2,1]
[6,3,7,1,5,8,4,2] => [1,2,3,1,1]
[2,5,1,8,4,3,7,6] => [2,2,1,2,1]
[6,2,5,4,8,1,3,7] => [1,2,2,3]
[4,3,1,6,5,8,2,7] => [1,1,2,2,2]
[1,3,5,4,6,8,2,7] => [3,3,2]
[6,1,3,4,5,8,2,7] => [1,5,2]
[8,3,4,1,5,2,7,6] => [1,2,2,2,1]
[7,5,4,2,6,8,3,1] => [1,1,1,3,1,1]
[8,2,6,4,1,7,3,5] => [1,2,1,2,2]
[7,3,8,4,5,2,1,6] => [1,2,2,1,2]
[7,2,5,1,8,4,3,6] => [1,2,2,1,2]
[1,7,3,2,5,4,8,6] => [2,1,2,2,1]
[8,7,2,1,5,3,4,6] => [1,1,1,2,3]
[3,6,1,5,8,7,4,2] => [2,3,1,1,1]
[8,3,6,4,5,1,7,2] => [1,2,2,2,1]
[5,4,6,8,1,2,7,3] => [1,3,3,1]
[6,4,7,2,3,5,8,1] => [1,2,4,1]
[6,8,4,1,3,5,7,2] => [2,1,4,1]
[3,4,7,8,6,2,5,1] => [4,1,2,1]
[4,1,3,5,7,8,6,2] => [1,5,1,1]
[6,5,1,8,4,7,3,2] => [1,1,2,2,1,1]
[5,3,1,8,4,7,6,2] => [1,1,2,2,1,1]
[8,2,7,4,6,1,3,5] => [1,2,2,3]
[4,7,3,2,8,1,6,5] => [2,1,2,2,1]
[6,3,1,4,7,2,8,5] => [1,1,3,2,1]
[8,7,3,6,1,5,2,4] => [1,1,2,2,2]
[7,4,3,6,8,2,5,1] => [1,1,3,2,1]
[2,4,7,3,8,5,6,1] => [3,2,2,1]
[2,8,6,1,5,7,3,4] => [2,1,3,2]
[7,8,2,5,4,3,1,6] => [2,2,1,1,2]
[1,8,3,4,2,7,6,5] => [2,2,2,1,1]
[8,5,3,7,4,2,6,1] => [1,1,2,1,2,1]
[5,7,3,2,4,1,8,6] => [2,1,2,2,1]
[2,8,3,4,7,1,5,6] => [2,3,3]
[4,1,3,6,7,8,2,5] => [1,5,2]
[1,7,6,3,2,5,8,4] => [2,1,1,3,1]
[3,8,1,5,6,2,7,4] => [2,3,2,1]
[8,2,5,6,1,7,4,3] => [1,3,2,1,1]
[7,1,5,2,8,6,4,3] => [1,2,2,1,1,1]
[6,5,4,8,7,2,1,3] => [1,1,2,1,1,2]
[1,8,6,4,5,2,7,3] => [2,1,2,2,1]
[1,8,5,3,6,2,7,4] => [2,1,2,2,1]
[3,6,2,1,7,5,8,4] => [2,1,2,2,1]
[2,5,4,1,8,7,6,3] => [2,1,2,1,1,1]
[4,7,2,6,5,8,1,3] => [2,2,2,2]
[6,8,1,4,2,7,3,5] => [2,2,2,2]
[6,3,4,7,1,8,2,5] => [1,3,2,2]
[3,4,7,8,2,5,6,1] => [4,3,1]
[1,8,2,4,5,6,7,3] => [2,5,1]
[5,2,4,1,6,8,7,3] => [1,2,3,1,1]
[3,2,5,7,6,1,8,4] => [1,3,1,2,1]
[4,3,5,6,1,8,7,2] => [1,3,2,1,1]
[5,3,4,1,7,6,8,2] => [1,2,2,2,1]
[3,1,4,6,5,7,8,2] => [1,3,3,1]
[1,4,7,3,5,6,8,2] => [3,4,1]
[5,1,3,6,4,8,7,2] => [1,3,2,1,1]
[1,3,2,7,5,8,6,4] => [2,2,2,1,1]
[1,4,2,5,8,3,7,6] => [2,3,2,1]
[1,4,2,7,8,5,6,3] => [2,3,2,1]
[5,1,2,6,8,4,7,3] => [1,4,2,1]
[4,1,2,6,8,5,3,7] => [1,4,1,2]
[1,5,2,4,8,7,6,3] => [2,3,1,1,1]
[1,2,6,4,8,7,5,3] => [3,2,1,1,1]
[1,2,7,4,8,6,5,3] => [3,2,1,1,1]
[1,3,2,7,5,8,4,6] => [2,2,2,2]
[1,3,2,8,5,7,4,6] => [2,2,2,2]
[1,4,2,5,8,7,3,6] => [2,3,1,2]
[1,5,2,4,8,7,3,6] => [2,3,1,2]
[1,2,6,4,8,7,3,5] => [3,2,1,2]
[1,2,7,8,5,6,3,4] => [4,2,2]
[1,2,6,8,5,7,3,4] => [4,2,2]
[1,5,6,8,2,7,3,4] => [4,2,2]
[1,3,8,2,6,7,4,5] => [3,3,2]
[1,4,7,2,8,6,3,5] => [3,2,1,2]
[1,6,7,8,2,5,3,4] => [4,2,2]
[1,5,7,8,2,3,6,4] => [4,3,1]
[1,5,2,7,8,4,6,3] => [2,3,2,1]
[1,4,7,2,8,3,6,5] => [3,2,2,1]
[1,3,6,2,4,8,7,5] => [3,3,1,1]
[1,6,7,3,4,8,5,2] => [3,3,1,1]
[1,5,3,7,4,8,6,2] => [2,2,2,1,1]
[2,8,4,1,5,3,7,6] => [2,1,2,2,1]
[3,8,4,1,5,7,2,6] => [2,1,3,2]
[1,3,6,4,2,8,7,5] => [3,1,2,1,1]
[1,3,7,4,2,8,6,5] => [3,1,2,1,1]
[1,3,8,4,2,7,6,5] => [3,1,2,1,1]
[1,2,8,4,7,3,6,5] => [3,2,2,1]
[1,2,7,4,8,3,6,5] => [3,2,2,1]
[1,2,6,4,8,3,7,5] => [3,2,2,1]
[1,5,2,4,8,3,7,6] => [2,3,2,1]
[1,8,4,5,7,2,3,6] => [2,3,3]
[1,8,3,5,2,7,4,6] => [2,2,2,2]
[2,8,3,5,1,4,7,6] => [2,2,3,1]
[1,3,8,6,2,7,4,5] => [3,1,2,2]
[1,4,8,6,7,2,3,5] => [3,2,3]
[1,5,6,8,7,2,3,4] => [4,1,3]
[1,2,6,8,5,3,7,4] => [4,1,2,1]
[1,2,5,8,7,3,6,4] => [4,1,2,1]
[1,2,6,8,7,3,5,4] => [4,1,2,1]
[1,2,7,8,6,3,5,4] => [4,1,2,1]
[1,6,7,8,5,2,3,4] => [4,1,3]
[1,5,7,8,6,2,3,4] => [4,1,3]
[1,4,7,6,8,2,3,5] => [3,2,3]
[1,3,7,6,2,8,4,5] => [3,1,2,2]
[2,3,8,7,4,1,6,5] => [3,1,1,2,1]
[1,2,8,4,7,6,3,5] => [3,2,1,2]
[1,2,5,8,7,6,3,4] => [4,1,1,2]
[1,2,6,8,7,5,3,4] => [4,1,1,2]
[1,2,7,8,6,5,3,4] => [4,1,1,2]
[5,2,6,7,3,4,8,1] => [1,3,3,1]
[5,2,4,7,6,3,8,1] => [1,3,1,2,1]
[5,6,2,1,7,8,3,4] => [2,1,3,2]
[5,6,2,1,4,8,7,3] => [2,1,3,1,1]
[2,6,1,4,5,8,7,3] => [2,4,1,1]
[5,4,2,7,6,3,8,1] => [1,1,2,1,2,1]
[2,3,7,6,4,5,8,1] => [3,1,3,1]
[2,6,1,7,5,8,3,4] => [2,2,2,2]
[2,6,1,7,4,8,5,3] => [2,2,2,1,1]
[5,1,2,7,8,4,3,6] => [1,4,1,2]
[2,6,1,7,4,8,3,5] => [2,2,2,2]
[3,6,4,1,7,8,2,5] => [2,1,3,2]
[5,4,6,1,3,8,7,2] => [1,2,3,1,1]
[3,6,4,1,5,8,7,2] => [2,1,3,1,1]
[2,6,1,5,4,8,7,3] => [2,2,2,1,1]
[2,6,1,4,7,8,5,3] => [2,4,1,1]
[5,1,2,4,8,6,7,3] => [1,4,2,1]
[5,1,2,4,8,7,3,6] => [1,4,1,2]
[5,1,2,4,8,7,6,3] => [1,4,1,1,1]
[1,2,3,8,5,4,7,6] => [4,1,2,1]
[4,3,1,2,8,5,7,6] => [1,1,3,2,1]
[2,1,5,3,8,6,4,7] => [1,2,2,1,2]
[1,2,3,8,5,6,4,7] => [4,2,2]
[1,2,3,8,6,4,5,7] => [4,1,3]
[1,2,3,8,6,5,4,7] => [4,1,1,2]
[1,2,3,8,5,4,6,7] => [4,1,3]
[2,6,1,5,4,8,3,7] => [2,2,2,2]
[5,1,2,4,8,6,3,7] => [1,4,1,2]
[5,1,2,4,8,3,7,6] => [1,4,2,1]
[5,6,3,1,4,8,2,7] => [2,1,3,2]
[2,5,4,3,1,8,6,7] => [2,1,1,2,2]
[5,4,6,3,1,8,7,2] => [1,2,1,2,1,1]
[3,6,4,5,1,8,7,2] => [2,2,2,1,1]
[3,6,5,4,1,8,7,2] => [2,1,1,2,1,1]
[5,2,6,1,7,8,4,3] => [1,2,3,1,1]
[5,1,6,2,8,7,3,4] => [1,2,2,1,2]
[2,1,3,7,8,6,4,5] => [1,4,1,2]
[2,1,3,7,8,5,6,4] => [1,4,2,1]
[5,2,4,1,7,8,6,3] => [1,2,3,1,1]
[4,3,1,2,8,6,7,5] => [1,1,3,2,1]
[5,1,4,2,8,6,7,3] => [1,2,2,2,1]
[2,1,3,6,8,5,7,4] => [1,4,2,1]
[1,2,3,8,6,7,4,5] => [4,2,2]
[1,2,3,8,7,5,4,6] => [4,1,1,2]
[1,2,3,8,7,4,5,6] => [4,1,3]
[1,2,3,8,5,7,4,6] => [4,2,2]
[2,1,3,6,8,7,4,5] => [1,4,1,2]
[5,4,1,2,8,7,6,3] => [1,1,3,1,1,1]
[3,1,6,2,8,7,5,4] => [1,2,2,1,1,1]
[1,2,8,4,5,3,6,7] => [3,2,3]
[1,8,3,4,2,5,6,7] => [2,2,4]
[1,8,4,3,2,5,6,7] => [2,1,1,4]
[8,4,7,6,5,3,2,1] => [1,2,1,1,1,1,1]
[8,4,7,5,6,3,2,1] => [1,2,2,1,1,1]
[8,5,7,4,6,3,2,1] => [1,2,2,1,1,1]
[8,7,6,3,5,4,2,1] => [1,1,1,2,1,1,1]
[8,6,7,3,5,4,2,1] => [1,2,2,1,1,1]
[8,5,7,3,6,4,2,1] => [1,2,2,1,1,1]
[8,1,7,4,6,5,3,2] => [1,2,2,1,1,1]
[8,1,7,3,6,5,4,2] => [1,2,2,1,1,1]
[8,2,7,3,6,5,4,1] => [1,2,2,1,1,1]
[8,3,7,2,6,5,4,1] => [1,2,2,1,1,1]
[8,5,7,2,6,4,3,1] => [1,2,2,1,1,1]
[8,6,7,2,5,4,3,1] => [1,2,2,1,1,1]
[8,7,6,2,5,4,3,1] => [1,1,1,2,1,1,1]
[8,4,7,1,6,5,3,2] => [1,2,2,1,1,1]
[8,3,7,1,6,5,4,2] => [1,2,2,1,1,1]
[8,2,7,1,6,5,4,3] => [1,2,2,1,1,1]
[8,1,7,2,6,5,4,3] => [1,2,2,1,1,1]
[8,7,6,2,5,3,4,1] => [1,1,1,2,2,1]
[8,1,7,6,5,3,4,2] => [1,2,1,1,2,1]
[8,3,7,6,5,2,4,1] => [1,2,1,1,2,1]
[8,4,7,6,5,2,3,1] => [1,2,1,1,2,1]
[8,5,7,6,4,2,3,1] => [1,2,1,1,2,1]
[8,6,7,5,4,1,3,2] => [1,2,1,1,2,1]
[8,5,7,6,4,1,3,2] => [1,2,1,1,2,1]
[8,3,7,6,5,1,4,2] => [1,2,1,1,2,1]
[8,7,6,4,5,1,3,2] => [1,1,1,2,2,1]
[8,7,6,2,5,1,4,3] => [1,1,1,2,2,1]
[8,7,6,1,5,2,4,3] => [1,1,1,2,2,1]
[6,8,1,3,2,5,4,7] => [2,2,2,2]
[6,8,1,4,2,5,3,7] => [2,2,2,2]
[7,8,3,6,1,4,2,5] => [2,2,2,2]
[7,8,2,5,3,6,1,4] => [2,2,2,2]
[7,8,2,5,1,4,3,6] => [2,2,2,2]
[7,8,1,4,3,6,2,5] => [2,2,2,2]
[5,8,1,4,3,7,2,6] => [2,2,2,2]
[6,8,2,5,1,4,3,7] => [2,2,2,2]
[6,8,2,5,3,7,1,4] => [2,2,2,2]
[6,8,2,5,4,7,1,3] => [2,2,2,2]
[2,5,4,7,6,8,1,3] => [2,2,2,2]
[2,5,3,7,6,8,1,4] => [2,2,2,2]
[2,5,1,4,3,7,6,8] => [2,2,2,2]
[2,6,1,4,3,7,5,8] => [2,2,2,2]
[2,6,5,8,1,4,3,7] => [2,2,2,2]
[2,6,1,5,3,7,4,8] => [2,2,2,2]
[2,6,3,7,4,8,1,5] => [2,2,2,2]
[2,6,4,7,5,8,1,3] => [2,2,2,2]
[5,8,3,6,4,7,1,2] => [2,2,2,2]
[5,8,2,6,4,7,1,3] => [2,2,2,2]
[4,8,2,6,3,7,1,5] => [2,2,2,2]
[4,8,1,5,3,7,2,6] => [2,2,2,2]
[4,8,1,5,2,6,3,7] => [2,2,2,2]
[4,8,3,7,1,5,2,6] => [2,2,2,2]
[6,8,3,7,1,4,2,5] => [2,2,2,2]
[5,8,1,3,2,6,4,7] => [2,2,2,2]
[5,8,4,7,1,3,2,6] => [2,2,2,2]
[6,8,4,7,1,3,2,5] => [2,2,2,2]
[6,8,5,7,1,3,2,4] => [2,2,2,2]
[5,7,6,8,2,4,1,3] => [2,2,2,2]
[4,7,6,8,1,3,2,5] => [2,2,2,2]
[4,7,5,8,1,3,2,6] => [2,2,2,2]
[4,7,1,3,2,6,5,8] => [2,2,2,2]
[3,7,1,4,2,6,5,8] => [2,2,2,2]
[3,7,5,8,1,4,2,6] => [2,2,2,2]
[3,7,6,8,1,4,2,5] => [2,2,2,2]
[3,7,6,8,2,5,1,4] => [2,2,2,2]
[4,7,6,8,2,5,1,3] => [2,2,2,2]
[4,7,5,8,3,6,1,2] => [2,2,2,2]
[4,7,5,8,2,6,1,3] => [2,2,2,2]
[3,7,5,8,2,6,1,4] => [2,2,2,2]
[3,7,4,8,2,6,1,5] => [2,2,2,2]
[3,7,4,8,1,5,2,6] => [2,2,2,2]
[3,7,1,5,2,6,4,8] => [2,2,2,2]
[3,7,2,6,1,5,4,8] => [2,2,2,2]
[3,7,2,6,5,8,1,4] => [2,2,2,2]
[4,7,3,6,5,8,1,2] => [2,2,2,2]
[3,6,5,8,4,7,1,2] => [2,2,2,2]
[2,6,5,8,4,7,1,3] => [2,2,2,2]
[2,6,5,8,3,7,1,4] => [2,2,2,2]
[2,6,3,7,1,5,4,8] => [2,2,2,2]
[7,6,4,2,8,5,3,1] => [1,1,1,2,1,1,1]
[7,6,4,3,8,2,5,1] => [1,1,1,2,2,1]
[7,6,4,8,5,2,3,1] => [1,1,2,1,2,1]
[6,8,4,3,7,2,1,5] => [2,1,2,1,2]
[6,7,4,3,5,1,8,2] => [2,1,2,2,1]
[6,7,3,5,4,8,2,1] => [2,2,2,1,1]
[6,8,3,7,5,2,4,1] => [2,2,1,2,1]
[7,6,8,3,5,2,4,1] => [1,2,2,2,1]
[7,6,3,5,8,2,4,1] => [1,1,3,2,1]
[7,6,3,5,2,4,8,1] => [1,1,2,3,1]
[7,6,4,2,5,1,8,3] => [1,1,1,2,2,1]
[7,6,2,8,4,1,5,3] => [1,1,2,1,2,1]
[7,6,3,8,2,4,1,5] => [1,1,2,2,2]
[7,6,3,4,8,2,5,1] => [1,1,3,2,1]
[6,8,3,7,4,5,2,1] => [2,2,2,1,1]
[6,7,3,5,8,4,2,1] => [2,3,1,1,1]
[5,7,8,3,6,2,1,4] => [3,2,1,2]
[5,8,3,6,7,2,1,4] => [2,3,1,2]
[6,3,4,8,7,2,5,1] => [1,3,1,2,1]
[6,3,8,4,7,2,1,5] => [1,2,2,1,2]
[6,2,8,4,1,7,5,3] => [1,2,1,2,1,1]
[6,2,7,4,1,5,3,8] => [1,2,1,2,2]
[6,3,4,7,5,8,2,1] => [1,3,2,1,1]
[6,3,5,7,8,4,2,1] => [1,4,1,1,1]
[5,7,3,6,8,2,1,4] => [2,3,1,2]
[5,6,8,3,7,2,1,4] => [3,2,1,2]
[5,6,7,3,4,1,8,2] => [3,2,2,1]
[4,6,7,8,3,5,2,1] => [4,2,1,1]
[4,6,8,3,5,7,2,1] => [3,3,1,1]
[4,7,3,5,6,8,2,1] => [2,4,1,1]
[4,7,3,5,8,2,6,1] => [2,3,2,1]
[5,3,4,7,8,2,1,6] => [1,4,1,2]
[5,3,8,2,4,1,6,7] => [1,2,2,3]
[5,3,4,8,2,6,1,7] => [1,3,2,2]
[4,8,3,6,2,5,7,1] => [2,2,3,1]
[4,8,3,5,7,2,6,1] => [2,3,2,1]
[4,8,3,5,6,7,2,1] => [2,4,1,1]
[4,7,8,3,5,6,2,1] => [3,3,1,1]
[4,7,8,3,6,2,5,1] => [3,2,2,1]
[4,8,3,6,7,2,5,1] => [2,3,2,1]
[4,8,3,7,2,5,6,1] => [2,2,3,1]
[5,3,4,8,2,7,6,1] => [1,3,2,1,1]
[5,3,8,2,4,1,7,6] => [1,2,2,2,1]
[5,2,8,4,1,7,3,6] => [1,2,1,2,2]
[6,4,2,5,1,8,7,3] => [1,1,2,2,1,1]
[6,4,3,5,8,2,1,7] => [1,1,3,1,2]
[6,3,5,8,7,2,4,1] => [1,3,1,2,1]
[5,8,3,7,2,6,4,1] => [2,2,2,1,1]
[5,7,3,4,8,2,1,6] => [2,3,1,2]
[5,8,4,2,3,1,6,7] => [2,1,2,3]
[5,8,4,2,3,1,7,6] => [2,1,2,2,1]
[6,4,5,3,8,2,1,7] => [1,2,2,1,2]
[6,4,8,5,3,7,2,1] => [1,2,1,2,1,1]
[6,4,3,8,5,7,2,1] => [1,1,2,2,1,1]
[6,4,2,8,5,3,1,7] => [1,1,2,1,1,2]
[6,4,2,7,3,1,8,5] => [1,1,2,1,2,1]
[6,4,3,7,8,5,2,1] => [1,1,3,1,1,1]
[6,4,5,3,7,1,8,2] => [1,2,2,2,1]
[5,7,4,2,3,1,6,8] => [2,1,2,3]
[5,6,3,7,1,8,2,4] => [2,2,2,2]
[5,6,3,4,7,1,8,2] => [2,3,2,1]
[5,6,3,4,8,2,1,7] => [2,3,1,2]
[6,3,5,7,4,8,2,1] => [1,3,2,1,1]
[6,3,5,4,7,8,2,1] => [1,2,3,1,1]
[6,4,3,5,7,1,8,2] => [1,1,3,2,1]
[6,4,2,5,1,7,3,8] => [1,1,2,2,2]
[5,3,7,2,4,1,6,8] => [1,2,2,3]
[5,3,4,7,2,6,1,8] => [1,3,2,2]
[4,7,3,6,2,5,8,1] => [2,2,3,1]
[4,7,3,6,8,2,5,1] => [2,3,2,1]
[4,6,7,3,5,8,2,1] => [3,3,1,1]
[4,5,7,8,3,6,2,1] => [4,2,1,1]
[4,5,8,3,6,7,2,1] => [3,3,1,1]
[4,5,8,3,7,2,6,1] => [3,2,2,1]
[5,3,4,6,8,2,1,7] => [1,4,1,2]
[5,3,6,8,2,1,4,7] => [1,3,1,3]
[5,3,6,7,1,8,2,4] => [1,3,2,2]
[5,3,4,6,7,1,8,2] => [1,4,2,1]
[4,6,3,5,7,8,2,1] => [2,4,1,1]
[4,5,7,3,6,8,2,1] => [3,3,1,1]
[4,5,6,8,3,7,2,1] => [4,2,1,1]
[5,7,4,8,6,3,2,1] => [2,2,1,1,1,1]
[3,2,6,5,1,8,7,4] => [1,2,1,2,1,1]
[3,5,6,7,2,8,4,1] => [4,2,1,1]
[1,6,2,5,3,4,8,7] => [2,2,3,1]
[1,3,8,2,4,6,5,7] => [3,3,2]
[1,7,2,3,6,4,8,5] => [2,3,2,1]
[1,6,8,2,5,3,7,4] => [3,2,2,1]
[1,8,2,5,3,4,7,6] => [2,2,3,1]
[1,8,2,3,6,4,7,5] => [2,3,2,1]
[1,3,5,2,8,4,7,6] => [3,2,2,1]
[1,2,7,3,5,4,6,8] => [3,2,3]
[1,8,2,7,3,4,6,5] => [2,2,3,1]
[1,5,8,2,3,7,4,6] => [3,3,2]
[1,6,8,2,3,5,4,7] => [3,3,2]
[5,3,6,1,2,4,8,7] => [1,2,4,1]
[7,1,5,8,4,2,3,6] => [1,3,1,3]
[8,1,5,7,4,2,3,6] => [1,3,1,3]
[7,1,4,5,8,2,3,6] => [1,4,3]
[7,4,1,6,2,8,3,5] => [1,1,2,2,2]
[8,4,1,7,2,6,3,5] => [1,1,2,2,2]
[8,1,4,7,5,2,3,6] => [1,3,1,3]
[8,1,5,4,7,2,3,6] => [1,2,2,3]
[2,1,7,5,8,3,4,6] => [1,2,2,3]
[7,1,5,4,8,2,3,6] => [1,2,2,3]
[7,1,4,8,5,2,3,6] => [1,3,1,3]
[6,4,1,7,2,3,8,5] => [1,1,2,3,1]
[7,8,3,1,2,4,6,5] => [2,1,4,1]
[8,7,1,6,4,2,3,5] => [1,1,2,1,3]
[8,6,1,7,4,2,3,5] => [1,1,2,1,3]
[7,6,1,8,4,2,3,5] => [1,1,2,1,3]
[7,3,8,1,2,4,6,5] => [1,2,4,1]
[8,3,7,1,2,4,6,5] => [1,2,4,1]
[8,3,6,1,2,4,7,5] => [1,2,4,1]
[8,3,7,5,1,2,4,6] => [1,2,1,4]
[7,3,6,1,2,4,8,5] => [1,2,4,1]
[6,7,1,8,4,2,3,5] => [2,2,1,3]
[6,8,1,7,4,2,3,5] => [2,2,1,3]
[7,1,8,5,4,2,3,6] => [1,2,1,1,3]
[7,1,8,4,5,2,3,6] => [1,2,2,3]
[2,1,7,8,5,3,4,6] => [1,3,1,3]
[7,6,3,1,2,4,8,5] => [1,1,1,4,1]
[6,1,2,3,8,7,5,4] => [1,4,1,1,1]
[6,8,1,4,2,3,7,5] => [2,2,3,1]
[6,8,3,1,2,7,4,5] => [2,1,3,2]
[6,7,3,1,2,8,4,5] => [2,1,3,2]
[6,7,1,4,2,3,8,5] => [2,2,3,1]
[4,3,6,8,5,7,1,2] => [1,3,2,2]
[6,1,2,5,4,8,3,7] => [1,3,2,2]
[3,2,8,5,4,1,7,6] => [1,2,1,1,2,1]
[7,8,2,1,4,6,3,5] => [2,1,3,2]
[7,2,1,5,8,3,4,6] => [1,1,3,3]
[2,4,8,5,1,3,6,7] => [3,1,4]
[3,5,6,1,8,4,2,7] => [3,2,1,2]
[1,3,6,8,7,4,2,5] => [4,1,1,2]
[1,2,8,5,7,3,4,6] => [3,2,3]
[2,6,1,5,8,3,4,7] => [2,3,3]
[5,7,1,6,8,4,3,2] => [2,3,1,1,1]
[4,8,1,2,5,7,3,6] => [2,4,2]
[8,4,6,2,5,7,3,1] => [1,2,3,1,1]
[8,3,6,4,7,2,5,1] => [1,2,2,2,1]
[3,8,1,4,7,2,5,6] => [2,3,3]
[1,7,8,4,6,2,5,3] => [3,2,2,1]
[3,7,4,8,5,1,6,2] => [2,2,1,2,1]
[3,7,1,6,5,4,8,2] => [2,2,1,2,1]
[2,7,3,1,5,8,4,6] => [2,1,3,2]
[2,7,4,6,8,1,3,5] => [2,3,3]
[2,7,5,8,6,4,1,3] => [2,2,1,1,2]
[8,2,6,7,5,4,3,1] => [1,3,1,1,1,1]
[3,8,7,1,6,4,5,2] => [2,1,2,2,1]
[3,6,8,2,7,4,1,5] => [3,2,1,2]
[1,5,2,8,7,4,6,3] => [2,2,1,2,1]
[3,4,2,7,8,1,6,5] => [2,3,2,1]
[4,1,3,7,5,6,8,2] => [1,3,3,1]
[6,3,8,1,7,4,2,5] => [1,2,2,1,2]
[6,5,8,7,1,4,2,3] => [1,2,1,2,2]
[4,1,7,3,8,5,2,6] => [1,2,2,1,2]
[3,6,1,4,5,8,2,7] => [2,4,2]
[1,6,7,4,5,3,8,2] => [3,2,2,1]
[6,1,7,3,5,4,8,2] => [1,2,2,2,1]
[6,3,1,2,5,8,4,7] => [1,1,4,2]
[1,4,7,2,8,5,3,6] => [3,2,1,2]
[5,6,8,7,2,4,1,3] => [3,1,2,2]
[6,8,5,7,1,2,4,3] => [2,2,3,1]
[2,8,4,1,7,5,6,3] => [2,1,2,2,1]
[8,2,4,3,7,5,6,1] => [1,2,2,2,1]
[6,8,2,1,5,7,3,4] => [2,1,3,2]
[7,2,8,4,1,6,3,5] => [1,2,1,2,2]
[1,2,4,8,6,5,3,7] => [4,1,1,2]
[7,1,5,6,8,4,3,2] => [1,4,1,1,1]
[2,7,8,1,4,6,3,5] => [3,3,2]
[4,8,2,5,7,1,6,3] => [2,3,2,1]
[4,1,6,8,5,3,7,2] => [1,3,1,2,1]
[5,2,6,4,8,3,1,7] => [1,2,2,1,2]
[6,7,1,3,4,5,8,2] => [2,5,1]
[1,7,3,2,4,8,5,6] => [2,1,3,2]
[1,3,6,5,2,8,4,7] => [3,1,2,2]
[7,1,6,5,3,4,8,2] => [1,2,1,3,1]
[6,3,4,2,8,7,5,1] => [1,2,2,1,1,1]
[4,3,8,7,5,2,6,1] => [1,2,1,1,2,1]
[6,8,7,4,2,3,5,1] => [2,1,1,3,1]
[3,6,4,5,2,8,7,1] => [2,2,2,1,1]
[8,6,1,3,5,4,2,7] => [1,1,3,1,2]
[5,3,8,6,1,2,4,7] => [1,2,1,4]
[2,5,6,3,4,8,7,1] => [3,3,1,1]
[2,5,3,6,8,7,4,1] => [2,3,1,1,1]
[4,8,7,3,5,2,6,1] => [2,1,2,2,1]
[3,8,7,2,6,4,5,1] => [2,1,2,2,1]
[6,3,5,4,8,7,2,1] => [1,2,2,1,1,1]
[4,3,8,6,1,5,2,7] => [1,2,1,2,2]
[4,7,6,2,5,3,8,1] => [2,1,2,2,1]
[7,5,2,6,8,1,4,3] => [1,1,3,2,1]
[8,5,2,7,1,4,3,6] => [1,1,2,2,2]
[1,8,5,3,6,2,4,7] => [2,1,2,3]
[5,1,7,2,4,3,8,6] => [1,2,2,2,1]
[1,5,3,4,8,6,2,7] => [2,3,1,2]
[5,4,1,3,8,6,2,7] => [1,1,3,1,2]
[5,1,8,6,3,4,2,7] => [1,2,1,2,2]
[4,5,2,8,3,7,6,1] => [2,2,2,1,1]
[8,2,3,7,6,4,5,1] => [1,3,1,2,1]
[5,8,2,4,7,6,3,1] => [2,3,1,1,1]
[6,8,2,5,3,4,7,1] => [2,2,3,1]
[7,2,5,6,4,8,1,3] => [1,3,2,2]
[1,6,7,4,8,2,3,5] => [3,2,3]
[7,1,3,5,8,2,6,4] => [1,4,2,1]
[8,2,1,3,5,6,7,4] => [1,1,5,1]
[6,3,1,4,7,5,8,2] => [1,1,3,2,1]
[4,1,3,8,2,6,7,5] => [1,3,3,1]
[2,8,3,6,7,5,4,1] => [2,3,1,1,1]
[3,1,7,2,8,5,4,6] => [1,2,2,1,2]
[3,6,1,4,7,2,8,5] => [2,3,2,1]
[1,5,8,4,7,2,3,6] => [3,2,3]
[7,1,3,6,2,8,4,5] => [1,3,2,2]
[6,2,7,4,5,8,1,3] => [1,2,3,2]
[2,1,8,4,5,7,3,6] => [1,2,3,2]
[1,8,5,7,3,2,4,6] => [2,2,1,3]
[2,1,8,5,4,3,6,7] => [1,2,1,1,3]
[2,7,4,1,5,3,8,6] => [2,1,2,2,1]
[7,4,8,6,2,3,1,5] => [1,2,1,2,2]
[2,7,1,4,6,3,8,5] => [2,3,2,1]
[4,7,5,6,8,1,3,2] => [2,3,2,1]
[7,1,3,2,8,5,4,6] => [1,2,2,1,2]
[2,8,5,4,1,3,6,7] => [2,1,1,4]
[5,1,7,4,2,3,8,6] => [1,2,1,3,1]
[3,8,6,5,1,4,2,7] => [2,1,1,2,2]
[1,3,4,8,6,5,2,7] => [4,1,1,2]
[4,1,8,6,5,3,2,7] => [1,2,1,1,1,2]
[4,8,5,2,7,3,6,1] => [2,1,2,2,1]
[7,2,8,5,3,6,4,1] => [1,2,1,2,1,1]
[5,2,8,4,3,7,6,1] => [1,2,1,2,1,1]
[8,4,7,5,2,3,6,1] => [1,2,1,3,1]
[7,5,2,8,4,6,1,3] => [1,1,2,2,2]
[5,7,4,3,6,2,8,1] => [2,1,2,2,1]
[6,7,5,1,2,8,3,4] => [2,1,3,2]
[5,2,6,8,3,4,7,1] => [1,3,3,1]
[7,6,2,4,5,8,3,1] => [1,1,4,1,1]
[3,6,8,4,7,2,5,1] => [3,2,2,1]
[7,6,3,8,4,2,5,1] => [1,1,2,1,2,1]
[2,6,3,8,4,7,5,1] => [2,2,2,1,1]
[7,2,3,6,5,8,4,1] => [1,3,2,1,1]
[6,2,7,5,8,3,1,4] => [1,2,2,1,2]
[2,8,3,6,4,5,7,1] => [2,2,3,1]
[2,1,5,6,8,3,7,4] => [1,4,2,1]
[5,8,1,2,6,4,7,3] => [2,3,2,1]
[1,6,8,3,2,7,4,5] => [3,1,2,2]
[6,5,7,2,8,4,1,3] => [1,2,2,1,2]
[7,5,1,2,8,4,6,3] => [1,1,3,2,1]
[5,4,8,3,6,2,7,1] => [1,2,2,2,1]
[5,8,2,7,4,3,6,1] => [2,2,1,2,1]
[6,4,5,8,2,7,3,1] => [1,3,2,1,1]
[5,7,3,6,4,8,2,1] => [2,2,2,1,1]
[1,5,6,4,8,2,7,3] => [3,2,2,1]
[3,1,5,6,4,8,7,2] => [1,3,2,1,1]
[1,3,6,2,5,7,8,4] => [3,4,1]
[1,4,6,3,5,7,8,2] => [3,4,1]
[3,5,1,6,4,7,8,2] => [2,2,3,1]
[3,6,1,4,2,7,8,5] => [2,2,3,1]
[2,4,6,3,1,7,8,5] => [3,1,3,1]
[1,3,6,5,2,7,8,4] => [3,1,3,1]
[1,2,6,4,3,8,5,7] => [3,1,2,2]
[1,2,6,3,5,8,7,4] => [3,3,1,1]
[2,3,5,1,8,4,7,6] => [3,2,2,1]
[2,3,6,1,8,5,4,7] => [3,2,1,2]
[1,2,7,4,6,8,3,5] => [3,3,2]
[2,3,7,5,1,8,4,6] => [3,1,2,2]
[4,7,2,5,3,8,6,1] => [2,2,2,1,1]
[3,1,7,5,4,8,6,2] => [1,2,1,2,1,1]
[1,2,7,6,4,8,5,3] => [3,1,2,1,1]
[1,2,7,3,6,8,5,4] => [3,3,1,1]
[2,3,6,1,8,5,7,4] => [3,2,2,1]
[3,1,5,4,8,7,6,2] => [1,2,2,1,1,1]
[1,2,5,8,4,7,3,6] => [4,2,2]
[1,2,6,8,5,4,7,3] => [4,1,2,1]
[1,3,6,8,5,2,7,4] => [4,1,2,1]
[3,5,7,4,8,2,1,6] => [3,2,1,2]
[2,4,7,6,8,3,1,5] => [3,2,1,2]
[1,4,6,8,3,5,2,7] => [4,2,2]
[1,3,6,8,5,2,4,7] => [4,1,3]
[1,2,6,8,5,4,3,7] => [4,1,1,2]
[1,2,5,8,4,3,7,6] => [4,1,2,1]
[1,3,5,8,2,4,7,6] => [4,3,1]
[1,3,6,8,2,5,4,7] => [4,2,2]
[1,4,6,8,3,2,5,7] => [4,1,3]
[3,5,7,4,8,1,2,6] => [3,2,3]
[4,6,1,7,5,8,2,3] => [2,2,2,2]
[2,3,6,7,5,8,1,4] => [4,2,2]
[1,3,7,5,6,8,2,4] => [3,3,2]
[2,3,6,5,8,1,7,4] => [3,2,2,1]
[3,4,6,2,8,1,7,5] => [3,2,2,1]
[3,5,4,6,8,2,1,7] => [2,3,1,2]
[3,5,4,6,8,1,2,7] => [2,3,3]
[1,2,4,7,5,8,3,6] => [4,2,2]
[1,2,6,7,4,8,3,5] => [4,2,2]
[3,6,4,7,1,8,5,2] => [2,2,2,1,1]
[1,2,6,7,3,8,5,4] => [4,2,1,1]
[1,2,5,7,3,8,6,4] => [4,2,1,1]
[3,1,5,7,6,8,4,2] => [1,3,2,1,1]
[3,5,4,6,8,2,7,1] => [2,3,2,1]
[4,2,6,1,8,7,5,3] => [1,2,2,1,1,1]
[3,1,6,5,8,7,4,2] => [1,2,2,1,1,1]
[2,3,6,5,8,7,1,4] => [3,2,1,2]
[1,2,7,4,6,8,5,3] => [3,3,1,1]
[1,2,7,5,6,8,4,3] => [3,3,1,1]
[3,1,6,7,5,8,4,2] => [1,3,2,1,1]
[4,6,2,7,5,8,3,1] => [2,2,2,1,1]
[3,5,7,4,8,2,6,1] => [3,2,2,1]
[2,4,7,6,8,3,5,1] => [3,2,2,1]
[1,4,6,8,3,5,7,2] => [4,3,1]
[1,3,6,8,2,5,7,4] => [4,3,1]
[1,3,5,8,2,7,4,6] => [4,2,2]
[1,2,5,8,4,7,6,3] => [4,2,1,1]
[1,2,4,8,7,3,6,5] => [4,1,2,1]
[1,2,5,8,7,4,3,6] => [4,1,1,2]
[1,3,5,8,7,2,4,6] => [4,1,3]
[2,3,7,6,8,5,1,4] => [3,2,1,2]
[5,7,1,2,8,6,4,3] => [2,3,1,1,1]
[3,1,7,6,8,5,4,2] => [1,2,2,1,1,1]
[1,2,6,8,5,7,4,3] => [4,2,1,1]
[1,2,5,8,7,4,6,3] => [4,1,2,1]
[1,2,4,8,7,6,3,5] => [4,1,1,2]
[6,4,5,7,2,8,1,3] => [1,3,2,2]
[5,3,4,7,2,8,1,6] => [1,3,2,2]
[3,2,7,4,6,8,1,5] => [1,2,3,2]
[5,3,6,2,7,1,4,8] => [1,2,2,3]
[2,6,3,4,7,1,5,8] => [2,3,3]
[2,7,3,4,5,8,1,6] => [2,4,2]
[3,7,4,5,6,8,1,2] => [2,4,2]
[2,5,7,3,6,8,1,4] => [3,3,2]
[4,7,6,2,3,8,1,5] => [2,1,3,2]
[7,3,5,2,4,8,1,6] => [1,2,3,2]
[7,6,2,4,5,8,1,3] => [1,1,4,2]
[6,5,2,3,4,8,1,7] => [1,1,4,2]
[5,3,1,2,8,4,7,6] => [1,1,3,2,1]
[6,5,2,3,7,1,4,8] => [1,1,3,3]
[5,2,1,7,3,4,6,8] => [1,1,2,4]
[5,2,1,8,3,4,6,7] => [1,1,2,4]
[6,3,2,8,4,5,7,1] => [1,1,2,3,1]
[7,3,1,2,8,4,6,5] => [1,1,3,2,1]
[6,4,1,3,8,5,7,2] => [1,1,3,2,1]
[6,2,3,1,8,4,7,5] => [1,2,2,2,1]
[8,3,5,2,7,1,4,6] => [1,2,2,3]
[8,6,2,4,7,1,5,3] => [1,1,3,2,1]
[8,5,2,3,6,1,4,7] => [1,1,3,3]
[8,2,1,7,3,4,5,6] => [1,1,2,4]
[8,6,3,7,2,4,5,1] => [1,1,2,3,1]
[7,1,6,2,3,4,5,8] => [1,2,5]
[8,2,7,3,4,5,6,1] => [1,2,4,1]
[8,1,6,2,3,4,5,7] => [1,2,5]
[8,1,7,3,4,5,6,2] => [1,2,4,1]
[8,6,1,7,2,4,5,3] => [1,1,2,3,1]
[8,1,5,7,2,3,6,4] => [1,3,3,1]
[1,7,5,8,2,3,6,4] => [2,2,3,1]
[7,2,1,8,3,4,5,6] => [1,1,2,4]
[7,3,8,2,4,5,6,1] => [1,2,4,1]
[7,2,8,3,4,5,6,1] => [1,2,4,1]
[1,7,8,3,4,5,6,2] => [3,4,1]
[1,4,5,8,3,6,7,2] => [4,3,1]
[2,5,7,1,8,3,6,4] => [3,2,2,1]
[6,2,7,1,8,4,5,3] => [1,2,2,2,1]
[4,7,1,3,8,5,6,2] => [2,3,2,1]
[1,6,2,8,4,5,7,3] => [2,2,3,1]
[4,1,3,6,8,2,7,5] => [1,4,2,1]
[5,3,4,6,8,2,7,1] => [1,4,2,1]
[4,6,3,8,7,1,2,5] => [2,2,1,3]
[6,4,5,8,7,1,2,3] => [1,3,1,3]
[5,3,4,8,7,1,2,6] => [1,3,1,3]
[3,2,8,7,1,4,6,5] => [1,2,1,3,1]
[3,1,8,7,2,4,6,5] => [1,2,1,3,1]
[5,3,7,6,1,2,4,8] => [1,2,1,4]
[1,8,3,7,2,4,5,6] => [2,2,4]
[3,8,1,7,2,4,5,6] => [2,2,4]
[6,8,2,3,5,1,4,7] => [2,3,3]
[4,7,8,2,6,1,3,5] => [3,2,3]
[6,2,8,7,1,4,5,3] => [1,2,1,3,1]
[3,8,7,1,4,5,6,2] => [2,1,4,1]
[2,8,6,1,3,4,5,7] => [2,1,5]
[2,7,6,1,3,4,5,8] => [2,1,5]
[1,7,6,2,3,4,5,8] => [2,1,5]
[1,8,6,2,3,4,5,7] => [2,1,5]
[2,8,7,3,4,5,6,1] => [2,1,4,1]
[3,8,7,2,4,5,6,1] => [2,1,4,1]
[7,8,3,6,2,4,5,1] => [2,2,3,1]
[1,5,8,7,2,3,6,4] => [3,1,3,1]
[8,7,6,1,3,4,5,2] => [1,1,1,4,1]
[3,6,2,4,7,1,8,5] => [2,3,2,1]
[3,4,7,2,5,1,8,6] => [3,2,2,1]
[2,1,6,4,8,5,3,7] => [1,2,2,1,2]
[4,1,8,5,3,2,7,6] => [1,2,1,1,2,1]
[3,6,2,5,7,1,4,8] => [2,3,3]
[1,2,8,3,7,5,4,6] => [3,2,1,2]
[6,1,3,2,8,5,4,7] => [1,2,2,1,2]
[5,6,1,2,8,4,3,7] => [2,3,1,2]
[1,6,3,8,7,4,2,5] => [2,2,1,1,2]
[4,3,8,1,2,6,7,5] => [1,2,4,1]
[3,6,8,7,1,2,5,4] => [3,1,3,1]
[6,2,8,5,4,7,1,3] => [1,2,1,2,2]
[6,5,7,2,4,8,1,3] => [1,2,3,2]
[3,4,1,6,5,8,7,2] => [2,2,2,1,1]
[3,5,1,2,4,8,7,6] => [2,4,1,1]
[3,7,5,2,1,4,6,8] => [2,1,1,4]
[3,8,5,2,7,4,1,6] => [2,1,2,1,2]
[5,2,8,4,7,3,1,6] => [1,2,2,1,2]
[5,2,7,4,1,3,6,8] => [1,2,1,4]
[4,3,5,1,2,8,7,6] => [1,2,3,1,1]
[3,1,4,6,2,8,7,5] => [1,3,2,1,1]
[1,4,6,5,2,8,7,3] => [3,1,2,1,1]
[3,4,5,6,1,8,7,2] => [4,2,1,1]
[3,4,5,8,7,2,1,6] => [4,1,1,2]
[1,4,7,2,6,3,5,8] => [3,2,3]
[8,4,7,5,2,1,6,3] => [1,2,1,1,2,1]
[8,1,4,7,2,3,6,5] => [1,3,3,1]
[1,8,5,7,3,4,6,2] => [2,2,3,1]
[6,3,5,1,7,4,2,8] => [1,2,2,1,2]
[6,1,4,8,7,3,2,5] => [1,3,1,1,2]
[6,4,8,5,7,1,2,3] => [1,2,2,3]
[5,4,8,1,6,3,2,7] => [1,2,2,1,2]
[1,4,8,6,3,7,2,5] => [3,1,2,2]
[5,4,7,6,3,8,1,2] => [1,2,1,2,2]
[4,6,3,7,5,8,1,2] => [2,2,2,2]
[4,1,3,5,8,6,2,7] => [1,4,1,2]
[5,7,4,3,8,1,2,6] => [2,1,2,3]
[1,4,8,3,7,6,5,2] => [3,2,1,1,1]
[4,3,8,2,1,6,5,7] => [1,2,1,2,2]
[3,8,4,2,7,1,5,6] => [2,1,2,3]
[3,1,2,5,7,6,4,8] => [1,4,1,2]
[1,8,2,7,6,5,4,3] => [2,2,1,1,1,1]
[3,8,1,6,7,5,4,2] => [2,3,1,1,1]
[3,7,2,6,8,5,1,4] => [2,3,1,2]
[7,2,3,8,5,6,1,4] => [1,3,2,2]
[8,2,1,7,5,6,4,3] => [1,1,2,2,1,1]
[8,1,3,6,5,7,4,2] => [1,3,2,1,1]
[8,2,4,3,6,1,5,7] => [1,2,2,3]
[1,7,8,5,4,3,6,2] => [3,1,1,2,1]
[1,8,4,5,3,2,6,7] => [2,2,1,3]
[7,8,5,4,3,1,6,2] => [2,1,1,1,2,1]
[7,1,6,3,4,2,5,8] => [1,2,2,3]
[6,8,7,1,4,2,5,3] => [2,1,2,2,1]
[3,6,1,4,2,7,5,8] => [2,2,2,2]
[3,4,1,8,5,7,6,2] => [2,2,2,1,1]
[3,6,5,1,2,8,4,7] => [2,1,3,2]
[3,8,5,6,7,2,1,4] => [2,3,1,2]
[8,1,7,6,2,4,3,5] => [1,2,1,2,2]
[8,5,6,1,4,2,3,7] => [1,2,2,3]
[8,6,5,4,7,1,3,2] => [1,1,1,2,2,1]
[1,6,4,5,7,2,3,8] => [2,3,3]
[8,3,6,1,7,2,4,5] => [1,2,2,3]
[1,8,6,5,7,3,4,2] => [2,1,2,2,1]
[1,7,5,3,6,8,4,2] => [2,1,3,1,1]
[7,4,1,6,5,8,3,2] => [1,1,2,2,1,1]
[4,1,5,8,7,6,3,2] => [1,3,1,1,1,1]
[1,2,5,8,6,7,3,4] => [4,2,2]
[4,2,1,5,8,7,3,6] => [1,1,3,1,2]
[5,2,4,6,1,7,3,8] => [1,3,2,2]
[1,5,3,6,8,7,4,2] => [2,3,1,1,1]
[3,5,4,6,1,8,2,7] => [2,2,2,2]
[3,1,5,7,6,8,2,4] => [1,3,2,2]
[1,4,5,6,8,7,2,3] => [5,1,2]
[1,4,6,3,7,2,8,5] => [3,2,2,1]
[1,7,3,6,5,2,8,4] => [2,2,1,2,1]
[8,6,2,5,4,1,7,3] => [1,1,2,1,2,1]
[3,7,2,6,5,4,1,8] => [2,2,1,1,2]
[7,6,2,5,4,3,1,8] => [1,1,2,1,1,2]
[4,7,5,2,6,3,1,8] => [2,1,2,1,2]
[3,2,6,4,7,5,1,8] => [1,2,2,1,2]
[6,2,3,7,5,4,1,8] => [1,3,1,1,2]
[1,3,4,7,6,2,8,5] => [4,1,2,1]
[2,8,3,6,1,7,5,4] => [2,2,2,1,1]
[8,7,2,5,1,6,4,3] => [1,1,2,2,1,1]
[3,8,2,6,5,1,7,4] => [2,2,1,2,1]
[7,8,2,5,4,1,6,3] => [2,2,1,2,1]
[4,8,5,2,6,1,7,3] => [2,1,2,2,1]
[4,5,1,3,7,2,8,6] => [2,3,2,1]
[6,1,3,7,5,2,8,4] => [1,3,1,2,1]
[7,1,3,6,2,8,5,4] => [1,3,2,1,1]
[8,1,3,6,2,7,5,4] => [1,3,2,1,1]
[1,2,4,7,3,8,6,5] => [4,2,1,1]
[7,1,8,2,6,5,4,3] => [1,2,2,1,1,1]
[3,1,8,6,2,7,5,4] => [1,2,1,2,1,1]
[4,1,7,8,2,6,5,3] => [1,3,2,1,1]
[5,6,1,8,2,7,4,3] => [2,2,2,1,1]
[4,2,7,8,1,6,5,3] => [1,3,2,1,1]
[3,2,8,6,1,7,5,4] => [1,2,1,2,1,1]
[7,2,8,1,6,5,4,3] => [1,2,2,1,1,1]
[1,8,7,2,6,5,4,3] => [2,1,2,1,1,1]
[2,8,7,1,6,5,4,3] => [2,1,2,1,1,1]
[3,8,7,1,6,5,4,2] => [2,1,2,1,1,1]
[4,8,7,5,1,6,3,2] => [2,1,1,2,1,1]
[6,7,8,5,1,4,3,2] => [3,1,2,1,1]
[5,6,3,8,4,1,7,2] => [2,2,1,2,1]
[7,3,8,5,4,1,6,2] => [1,2,1,1,2,1]
[3,4,8,6,5,1,7,2] => [3,1,1,2,1]
[8,3,7,5,1,6,4,2] => [1,2,1,2,1,1]
[1,4,8,6,2,7,5,3] => [3,1,2,1,1]
[8,4,6,7,1,5,3,2] => [1,3,2,1,1]
[5,6,4,7,8,1,3,2] => [2,3,2,1]
[3,4,6,5,1,2,8,7] => [3,1,3,1]
[7,3,5,1,2,8,6,4] => [1,2,3,1,1]
[1,4,6,2,3,8,7,5] => [3,3,1,1]
[1,3,2,7,4,8,6,5] => [2,2,2,1,1]
[7,2,1,6,3,8,5,4] => [1,1,2,2,1,1]
[2,3,1,7,6,4,8,5] => [2,2,1,2,1]
[4,5,2,1,7,3,8,6] => [2,1,2,2,1]
[5,6,7,1,2,8,4,3] => [3,3,1,1]
[4,7,5,1,2,8,6,3] => [2,1,3,1,1]
[3,7,1,6,2,8,5,4] => [2,2,2,1,1]
[7,6,1,2,8,5,4,3] => [1,1,3,1,1,1]
[2,7,1,3,8,6,5,4] => [2,3,1,1,1]
[8,6,1,2,7,5,4,3] => [1,1,3,1,1,1]
[1,7,2,3,8,6,5,4] => [2,3,1,1,1]
[8,7,1,2,6,5,4,3] => [1,1,3,1,1,1]
[7,8,1,2,6,5,4,3] => [2,3,1,1,1]
[3,8,1,6,2,7,5,4] => [2,2,2,1,1]
[4,8,5,1,2,7,6,3] => [2,1,3,1,1]
[5,6,8,1,2,7,4,3] => [3,3,1,1]
[2,1,3,7,4,8,6,5] => [1,3,2,1,1]
[4,2,7,3,6,8,1,5] => [1,2,3,2]
[5,3,6,4,2,8,1,7] => [1,2,1,2,2]
[4,1,5,3,8,2,7,6] => [1,2,2,2,1]
[5,2,6,4,7,3,1,8] => [1,2,2,1,2]
[2,6,3,4,7,5,1,8] => [2,3,1,2]
[2,6,3,5,4,8,1,7] => [2,2,2,2]
[2,7,4,3,5,8,1,6] => [2,1,3,2]
[7,3,6,4,2,8,1,5] => [1,2,1,2,2]
[7,6,4,5,2,8,1,3] => [1,1,2,2,2]
[5,4,3,1,8,2,7,6] => [1,1,1,2,2,1]
[6,5,4,2,7,3,1,8] => [1,1,1,2,1,2]
[5,4,1,7,2,6,3,8] => [1,1,2,2,2]
[5,4,1,8,3,2,6,7] => [1,1,2,1,3]
[6,5,2,8,3,4,7,1] => [1,1,2,3,1]
[7,4,2,1,8,3,6,5] => [1,1,1,2,2,1]
[6,5,3,4,8,2,7,1] => [1,1,3,2,1]
[6,1,5,3,8,2,7,4] => [1,2,2,2,1]
[4,6,3,1,8,2,7,5] => [2,1,2,2,1]
[5,8,4,2,7,3,1,6] => [2,1,2,1,2]
[8,2,6,4,7,3,1,5] => [1,2,2,1,2]
[8,6,2,5,7,4,1,3] => [1,1,3,1,2]
[8,5,3,2,6,4,1,7] => [1,1,1,2,1,2]
[8,3,1,7,2,5,4,6] => [1,1,2,2,2]
[7,5,2,6,4,3,1,8] => [1,1,2,1,1,2]
[7,1,6,2,5,4,3,8] => [1,2,2,1,2]
[8,1,7,3,5,6,4,2] => [1,2,3,1,1]
[8,6,1,7,4,5,2,3] => [1,1,2,2,2]
[8,1,3,7,2,6,5,4] => [1,3,2,1,1]
[1,7,6,8,3,2,4,5] => [2,2,1,3]
[7,1,5,8,4,2,6,3] => [1,3,1,2,1]
[7,3,8,4,5,2,6,1] => [1,2,2,2,1]
[7,2,8,5,3,4,6,1] => [1,2,1,3,1]
[6,1,8,4,3,2,5,7] => [1,2,1,1,3]
[6,1,7,4,2,5,3,8] => [1,2,1,2,2]
[1,2,7,3,4,6,5,8] => [3,3,2]
[1,7,8,4,3,5,6,2] => [3,1,3,1]
[1,6,2,8,3,5,7,4] => [2,2,3,1]
[2,6,1,7,3,5,4,8] => [2,2,2,2]
[3,1,5,8,4,2,6,7] => [1,3,1,3]
[4,3,1,6,8,2,7,5] => [1,1,3,2,1]
[5,7,4,8,3,2,1,6] => [2,2,1,1,2]
[5,4,8,2,7,3,1,6] => [1,2,2,1,2]
[5,2,8,7,3,4,1,6] => [1,2,1,2,2]
[6,4,7,5,3,2,1,8] => [1,2,1,1,1,2]
[1,8,3,7,6,2,4,5] => [2,2,1,3]
[5,8,3,2,6,4,1,7] => [2,1,2,1,2]
[6,8,2,4,7,5,1,3] => [2,3,1,2]
[7,3,8,2,6,4,1,5] => [1,2,2,1,2]
[4,6,8,2,7,3,1,5] => [3,2,1,2]
[2,6,8,7,3,4,1,5] => [3,1,2,2]
[7,2,8,6,3,5,1,4] => [1,2,1,2,2]
[6,8,1,7,2,5,4,3] => [2,2,2,1,1]
[3,8,7,4,5,6,1,2] => [2,1,3,2]
[2,8,6,4,3,5,1,7] => [2,1,1,2,2]
[2,7,6,3,5,4,1,8] => [2,1,2,1,2]
[1,7,6,5,2,4,3,8] => [2,1,1,2,2]
[1,8,6,5,3,2,4,7] => [2,1,1,1,3]
[3,8,7,4,6,2,5,1] => [2,1,2,2,1]
[5,8,3,7,6,2,4,1] => [2,2,1,2,1]
[7,1,8,6,5,2,3,4] => [1,2,1,1,3]
[8,4,7,5,3,2,1,6] => [1,2,1,1,1,2]
[8,7,2,5,4,3,1,6] => [1,1,2,1,1,2]
[6,8,3,2,5,4,7,1] => [2,1,2,2,1]
[6,8,4,5,2,3,7,1] => [2,2,3,1]
[1,5,7,8,4,3,6,2] => [4,1,2,1]
[6,3,8,1,5,4,7,2] => [1,2,2,2,1]
[6,2,1,8,5,4,7,3] => [1,1,2,1,2,1]
[2,6,3,1,7,5,4,8] => [2,1,2,1,2]
[2,6,5,7,4,1,3,8] => [2,2,1,3]
[2,5,6,8,4,3,7,1] => [4,1,2,1]
[2,4,7,5,8,1,6,3] => [3,2,2,1]
[2,5,4,7,1,8,6,3] => [2,2,2,1,1]
[5,2,1,8,7,6,4,3] => [1,1,2,1,1,1,1]
[4,8,5,7,6,1,3,2] => [2,2,1,2,1]
[4,8,6,7,5,3,1,2] => [2,2,1,1,2]
[4,8,7,5,6,2,3,1] => [2,1,2,2,1]
[6,5,4,8,2,1,7,3] => [1,1,2,1,2,1]
[5,8,4,7,2,6,3,1] => [2,2,2,1,1]
[1,5,7,4,8,2,6,3] => [3,2,2,1]
[1,5,7,3,2,8,6,4] => [3,1,2,1,1]
[5,8,3,2,7,6,4,1] => [2,1,2,1,1,1]
[5,2,1,4,3,6,7,8] => [1,1,2,4]
[3,5,7,4,2,6,1,8] => [3,1,2,2]
[3,6,4,5,1,2,7,8] => [2,2,4]
[4,2,1,6,5,3,7,8] => [1,1,2,1,3]
[4,2,1,5,7,6,3,8] => [1,1,3,1,2]
[4,3,5,1,7,6,2,8] => [1,2,2,1,2]
[3,5,4,7,1,6,2,8] => [2,2,2,2]
[3,4,7,5,6,1,2,8] => [3,2,3]
[3,4,5,8,6,7,1,2] => [4,2,2]
[3,5,4,6,1,8,7,2] => [2,2,2,1,1]
[4,3,5,1,6,8,7,2] => [1,2,3,1,1]
[4,2,1,5,6,8,7,3] => [1,1,4,1,1]
[2,1,7,3,8,4,6,5] => [1,2,2,2,1]
[4,1,8,2,7,3,6,5] => [1,2,2,2,1]
[4,1,7,2,8,3,6,5] => [1,2,2,2,1]
[7,1,3,2,8,4,6,5] => [1,2,2,2,1]
[7,1,8,2,4,3,6,5] => [1,2,2,2,1]
[8,1,7,2,5,3,6,4] => [1,2,2,2,1]
[7,1,5,2,8,3,6,4] => [1,2,2,2,1]
[5,1,7,2,8,3,6,4] => [1,2,2,2,1]
[5,1,8,2,7,3,6,4] => [1,2,2,2,1]
[5,1,8,2,4,3,7,6] => [1,2,2,2,1]
[8,1,6,2,4,3,7,5] => [1,2,2,2,1]
[6,1,8,2,4,3,7,5] => [1,2,2,2,1]
[6,1,8,2,5,3,7,4] => [1,2,2,2,1]
[8,1,6,2,5,3,7,4] => [1,2,2,2,1]
[8,1,6,2,7,3,5,4] => [1,2,2,2,1]
[6,1,8,2,7,3,5,4] => [1,2,2,2,1]
[6,1,7,2,8,3,5,4] => [1,2,2,2,1]
[6,1,7,2,5,3,8,4] => [1,2,2,2,1]
[6,1,7,2,4,3,8,5] => [1,2,2,2,1]
[5,1,6,2,4,3,8,7] => [1,2,2,2,1]
[7,1,5,2,4,3,8,6] => [1,2,2,2,1]
[7,1,6,2,4,3,8,5] => [1,2,2,2,1]
[7,1,6,2,5,3,8,4] => [1,2,2,2,1]
[7,1,6,2,8,3,5,4] => [1,2,2,2,1]
[7,1,8,2,6,3,5,4] => [1,2,2,2,1]
[1,8,2,7,5,4,6,3] => [2,2,1,2,1]
[1,8,2,7,4,3,5,6] => [2,2,1,3]
[1,8,6,4,7,2,3,5] => [2,1,2,3]
[1,8,4,2,6,3,5,7] => [2,1,2,3]
[7,4,8,1,5,2,3,6] => [1,2,2,3]
[4,1,7,2,6,3,5,8] => [1,2,2,3]
[5,1,7,4,3,6,2,8] => [1,2,1,2,2]
[7,5,8,3,2,4,1,6] => [1,2,1,2,2]
[1,8,5,4,3,6,2,7] => [2,1,1,2,2]
[1,8,5,4,3,7,2,6] => [2,1,1,2,2]
[1,8,5,4,7,2,6,3] => [2,1,2,2,1]
[1,8,4,2,5,3,7,6] => [2,1,2,2,1]
[1,8,5,4,2,6,7,3] => [2,1,1,3,1]
[7,4,8,2,1,3,5,6] => [1,2,1,4]
[4,1,7,3,2,5,6,8] => [1,2,1,4]
[7,5,4,8,2,3,6,1] => [1,1,2,3,1]
[7,3,8,1,5,6,2,4] => [1,2,3,2]
[3,1,7,2,6,8,4,5] => [1,2,3,2]
[5,1,7,4,2,6,8,3] => [1,2,1,3,1]
[4,1,6,3,2,5,8,7] => [1,2,1,3,1]
[5,4,3,7,1,2,8,6] => [1,1,2,3,1]
[4,3,1,6,2,5,7,8] => [1,1,2,4]
[6,5,4,3,7,1,8,2] => [1,1,1,2,2,1]
[5,4,2,7,1,6,8,3] => [1,1,2,3,1]
[6,5,1,7,3,8,2,4] => [1,1,2,2,2]
[6,3,2,8,5,7,1,4] => [1,1,2,2,2]
[6,5,4,2,8,3,7,1] => [1,1,1,2,2,1]
[6,5,4,3,8,2,7,1] => [1,1,1,2,2,1]
[6,5,4,3,8,7,1,2] => [1,1,1,2,1,2]
[7,5,4,8,6,1,3,2] => [1,1,2,1,2,1]
[7,6,3,8,5,4,1,2] => [1,1,2,1,1,2]
[6,3,8,1,7,5,2,4] => [1,2,2,1,2]
[6,5,8,3,1,7,4,2] => [1,2,1,2,1,1]
[5,4,8,2,1,7,3,6] => [1,2,1,2,2]
[5,4,3,8,1,6,2,7] => [1,1,2,2,2]
[5,4,3,7,1,6,2,8] => [1,1,2,2,2]
[6,4,2,8,5,1,3,7] => [1,1,2,1,3]
[7,6,4,8,5,1,2,3] => [1,1,2,1,3]
[7,2,8,6,3,1,4,5] => [1,2,1,1,3]
[7,2,8,6,1,5,3,4] => [1,2,1,2,2]
[2,1,7,8,3,6,4,5] => [1,3,2,2]
[6,4,1,7,8,2,3,5] => [1,1,3,3]
[4,2,1,6,7,3,5,8] => [1,1,3,3]
[4,3,1,5,2,7,6,8] => [1,1,2,2,2]
[5,4,2,7,3,8,1,6] => [1,1,2,2,2]
[4,1,5,3,2,8,6,7] => [1,2,1,2,2]
[3,1,6,2,8,7,4,5] => [1,2,2,1,2]
[6,3,1,7,8,5,2,4] => [1,1,3,1,2]
[5,4,1,7,8,2,6,3] => [1,1,3,2,1]
[6,5,4,1,7,8,3,2] => [1,1,1,3,1,1]
[5,4,3,1,6,7,2,8] => [1,1,1,3,2]
[6,5,4,2,7,8,3,1] => [1,1,1,3,1,1]
[5,4,2,6,3,8,7,1] => [1,1,2,2,1,1]
[4,3,1,5,2,6,8,7] => [1,1,2,3,1]
[5,4,2,1,6,7,8,3] => [1,1,1,4,1]
[5,4,3,1,6,7,8,2] => [1,1,1,4,1]
[6,3,8,1,2,5,7,4] => [1,2,4,1]
[3,6,7,1,2,5,8,4] => [3,4,1]
[7,8,3,1,2,5,6,4] => [2,1,4,1]
[7,8,1,3,2,4,6,5] => [2,2,3,1]
[7,8,2,1,3,5,4,6] => [2,1,3,2]
[5,2,3,7,1,8,6,4] => [1,3,2,1,1]
[2,5,3,6,1,8,7,4] => [2,2,2,1,1]
[2,6,7,3,1,8,4,5] => [3,1,2,2]
[2,6,7,1,3,5,4,8] => [3,3,2]
[6,2,8,3,1,7,4,5] => [1,2,1,2,2]
[3,2,5,7,1,8,4,6] => [1,3,2,2]
[4,3,1,2,7,8,6,5] => [1,1,4,1,1]
[5,1,2,7,3,6,4,8] => [1,3,2,2]
[5,1,4,7,8,2,3,6] => [1,4,3]
[5,3,4,7,8,6,1,2] => [1,4,1,2]
[3,5,4,6,8,7,1,2] => [2,3,1,2]
[1,5,4,6,8,2,3,7] => [2,3,3]
[1,6,7,3,2,4,8,5] => [3,1,3,1]
[1,5,3,6,2,7,8,4] => [2,2,3,1]
[5,1,3,7,2,6,8,4] => [1,3,3,1]
[5,2,4,7,8,1,6,3] => [1,4,2,1]
[4,2,5,7,6,1,8,3] => [1,3,1,2,1]
[4,5,2,8,6,1,7,3] => [2,2,1,2,1]
[5,3,1,8,2,6,7,4] => [1,1,2,3,1]
[6,1,8,3,2,4,7,5] => [1,2,1,3,1]
[4,3,5,7,6,8,1,2] => [1,3,2,2]
[4,1,5,7,6,2,3,8] => [1,3,1,3]
[4,5,1,8,6,2,3,7] => [2,2,1,3]
[5,2,1,8,3,6,4,7] => [1,1,2,2,2]
[3,4,2,1,8,7,5,6] => [2,1,2,1,2]
[7,6,5,4,2,1,8,3] => [1,1,1,1,1,2,1]
[7,6,5,4,8,1,3,2] => [1,1,1,2,2,1]
[7,6,5,8,2,1,4,3] => [1,1,2,1,2,1]
[8,5,4,3,2,1,7,6] => [1,1,1,1,1,2,1]
[7,6,5,4,1,8,3,2] => [1,1,1,1,2,1,1]
[7,6,5,2,8,1,4,3] => [1,1,1,2,2,1]
[7,6,5,8,4,1,3,2] => [1,1,2,1,2,1]
[7,6,8,5,2,1,4,3] => [1,2,1,1,2,1]
[7,8,6,3,2,1,5,4] => [2,1,1,1,2,1]
[8,7,4,3,2,1,6,5] => [1,1,1,1,1,2,1]
[7,8,2,4,5,1,3,6] => [2,3,3]
[4,6,7,2,5,1,3,8] => [3,2,3]
[7,8,1,3,2,4,5,6] => [2,2,4]
[7,8,4,1,5,2,3,6] => [2,1,2,3]
[3,6,7,2,1,4,5,8] => [3,1,4]
[5,2,3,6,1,4,7,8] => [1,3,4]
[2,5,3,6,1,4,7,8] => [2,2,4]
[2,6,7,3,1,4,5,8] => [3,1,4]
[4,6,7,1,5,2,3,8] => [3,2,3]
[4,6,7,3,5,8,1,2] => [3,3,2]
[6,4,7,1,5,2,3,8] => [1,2,2,3]
[6,2,7,3,1,4,5,8] => [1,2,1,4]
[3,2,5,6,1,4,7,8] => [1,3,4]
[3,5,2,6,1,4,7,8] => [2,2,4]
[5,1,4,6,7,2,3,8] => [1,4,3]
[3,5,4,6,7,8,1,2] => [2,4,2]
[1,5,4,6,7,2,3,8] => [2,3,3]
[1,6,7,3,2,4,5,8] => [3,1,4]
[1,5,3,6,2,4,7,8] => [2,2,4]
[5,1,3,6,2,4,7,8] => [1,3,4]
[5,2,4,6,7,1,3,8] => [1,4,3]
[2,5,4,6,7,1,3,8] => [2,3,3]
[2,6,7,4,5,1,3,8] => [3,2,3]
[6,2,7,4,5,1,3,8] => [1,2,2,3]
[4,2,5,6,7,1,3,8] => [1,4,3]
[4,5,2,6,7,1,3,8] => [2,3,3]
[5,3,1,6,2,4,7,8] => [1,1,2,4]
[6,1,7,3,2,4,5,8] => [1,2,1,4]
[6,1,7,4,5,2,3,8] => [1,2,2,3]
[6,3,7,4,5,8,1,2] => [1,2,3,2]
[5,4,1,6,7,2,3,8] => [1,1,3,3]
[5,2,1,6,3,4,7,8] => [1,1,2,4]
[7,3,2,5,4,1,6,8] => [1,1,2,1,3]
[7,3,5,4,2,1,6,8] => [1,2,1,1,3]
[7,3,5,2,4,1,6,8] => [1,2,2,3]
[7,6,5,2,1,4,3,8] => [1,1,1,1,2,2]
[1,3,6,7,5,2,8,4] => [4,1,2,1]
[7,3,4,1,6,2,5,8] => [1,2,2,3]
[7,3,4,1,6,5,2,8] => [1,2,2,1,2]
[7,3,4,1,5,6,2,8] => [1,2,3,2]
[7,3,2,5,1,6,4,8] => [1,1,2,2,2]
[7,6,5,4,1,3,2,8] => [1,1,1,1,2,2]
[7,3,4,1,5,2,6,8] => [1,2,2,3]
[1,3,6,7,2,5,8,4] => [4,3,1]
[1,7,4,6,2,8,5,3] => [2,2,2,1,1]
[4,3,1,7,2,6,8,5] => [1,1,2,3,1]
[5,6,1,4,7,3,8,2] => [2,3,2,1]
[5,3,2,1,7,4,8,6] => [1,1,1,2,2,1]
[1,3,4,5,8,7,2,6] => [5,1,2]
[6,3,4,5,8,1,7,2] => [1,4,2,1]
[2,4,5,1,6,8,7,3] => [3,3,1,1]
[3,1,2,5,6,8,7,4] => [1,5,1,1]
[4,3,2,5,6,8,1,7] => [1,1,4,2]
[3,7,5,4,6,8,1,2] => [2,1,3,2]
[3,1,4,6,5,8,2,7] => [1,3,2,2]
[2,3,4,5,8,6,1,7] => [5,1,2]
[2,3,4,5,8,1,7,6] => [5,2,1]
[3,1,4,6,5,8,7,2] => [1,3,2,1,1]
[3,7,5,4,6,8,2,1] => [2,1,3,1,1]
[5,6,1,4,7,2,8,3] => [2,3,2,1]
[4,3,1,7,5,6,8,2] => [1,1,2,3,1]
[4,3,1,7,6,5,8,2] => [1,1,2,1,2,1]
[3,1,4,6,7,8,5,2] => [1,5,1,1]
[1,4,5,2,6,8,7,3] => [3,3,1,1]
[3,7,5,2,6,8,1,4] => [2,1,3,2]
[3,7,5,2,6,8,4,1] => [2,1,3,1,1]
[5,6,1,2,7,4,8,3] => [2,3,2,1]
[6,3,5,2,4,7,8,1] => [1,2,4,1]
[5,3,2,1,4,7,8,6] => [1,1,1,4,1]
[5,3,1,4,2,7,8,6] => [1,1,2,3,1]
[5,3,1,2,4,7,8,6] => [1,1,5,1]
[7,1,5,2,6,8,4,3] => [1,2,3,1,1]
[7,1,5,2,6,8,3,4] => [1,2,3,2]
[1,7,4,6,5,8,3,2] => [2,2,2,1,1]
[2,7,4,6,1,8,3,5] => [2,2,2,2]
[2,7,4,6,1,8,5,3] => [2,2,2,1,1]
[2,3,6,7,1,5,8,4] => [4,3,1]
[2,3,6,7,5,1,8,4] => [4,1,2,1]
[4,3,2,6,7,1,8,5] => [1,1,3,2,1]
[7,3,2,5,6,8,1,4] => [1,1,4,2]
[7,1,5,4,6,8,2,3] => [1,2,3,2]
[2,7,4,6,5,8,1,3] => [2,2,2,2]
[7,3,4,5,8,6,1,2] => [1,4,1,2]
[7,3,4,5,8,1,6,2] => [1,4,2,1]
[7,3,4,5,8,1,2,6] => [1,4,3]
[1,3,4,5,8,6,2,7] => [5,1,2]
[1,3,4,5,8,2,7,6] => [5,2,1]
[6,3,4,5,8,2,1,7] => [1,4,1,2]
[6,3,4,5,8,2,7,1] => [1,4,2,1]
[7,3,4,5,8,6,2,1] => [1,4,1,1,1]
[2,7,4,6,5,8,3,1] => [2,2,2,1,1]
[7,1,5,4,6,8,3,2] => [1,2,3,1,1]
[7,3,2,5,6,8,4,1] => [1,1,4,1,1]
[5,7,4,6,1,8,3,2] => [2,2,2,1,1]
[6,3,4,5,8,1,2,7] => [1,4,3]
[7,3,4,5,8,2,1,6] => [1,4,1,2]
[7,3,4,5,8,2,6,1] => [1,4,2,1]
[4,7,6,1,8,2,5,3] => [2,1,2,2,1]
[4,8,6,1,7,5,2,3] => [2,1,2,1,2]
[4,7,8,2,6,1,5,3] => [3,2,2,1]
[7,6,4,2,8,3,5,1] => [1,1,1,2,2,1]
[8,6,4,2,7,5,3,1] => [1,1,1,2,1,1,1]
[8,4,7,3,6,5,1,2] => [1,2,2,1,2]
[8,4,6,1,7,5,3,2] => [1,2,2,1,1,1]
[6,4,7,1,8,3,2,5] => [1,2,2,1,2]
[7,4,8,3,6,1,5,2] => [1,2,2,2,1]
[7,8,4,3,6,2,5,1] => [2,1,2,2,1]
[6,2,1,7,3,5,4,8] => [1,1,2,2,2]
[2,1,8,6,3,5,4,7] => [1,2,1,2,2]
[2,1,7,3,5,8,6,4] => [1,2,3,1,1]
[2,6,3,1,4,8,5,7] => [2,1,3,2]
[4,2,1,8,3,6,7,5] => [1,1,2,3,1]
[2,1,8,6,3,5,7,4] => [1,2,1,3,1]
[6,2,1,7,3,5,8,4] => [1,1,2,3,1]
[2,7,3,1,4,8,5,6] => [2,1,3,2]
[3,2,1,6,4,5,7,8] => [1,1,2,4]
[3,2,1,5,7,8,4,6] => [1,1,4,2]
[2,1,7,3,6,8,4,5] => [1,2,3,2]
[2,7,3,1,5,6,8,4] => [2,1,4,1]
[4,3,7,5,6,1,8,2] => [1,2,2,2,1]
[4,3,6,8,5,1,7,2] => [1,3,1,2,1]
[2,6,1,8,3,5,7,4] => [2,2,3,1]
[2,1,6,8,3,7,4,5] => [1,3,2,2]
[2,1,8,3,5,7,4,6] => [1,2,3,2]
[3,2,1,5,6,8,4,7] => [1,1,4,2]
[3,2,1,5,7,4,6,8] => [1,1,3,3]
[8,2,4,1,7,5,6,3] => [1,2,2,2,1]
[3,8,4,7,5,1,6,2] => [2,2,1,2,1]
[8,4,3,6,1,7,5,2] => [1,1,2,2,1,1]
[8,2,1,7,3,5,4,6] => [1,1,2,2,2]
[5,8,6,3,1,7,4,2] => [2,1,1,2,1,1]
[2,4,7,1,8,5,3,6] => [3,2,1,2]
[2,4,8,5,1,6,3,7] => [3,1,2,2]
[6,2,1,7,3,4,8,5] => [1,1,2,3,1]
[6,2,1,7,8,3,5,4] => [1,1,3,2,1]
[2,1,8,3,6,4,5,7] => [1,2,2,3]
[3,2,1,6,7,4,5,8] => [1,1,3,3]
[3,2,1,6,8,4,5,7] => [1,1,3,3]
[2,1,8,3,7,4,5,6] => [1,2,2,3]
[2,1,8,3,6,7,4,5] => [1,2,3,2]
[2,4,8,5,1,6,7,3] => [3,1,3,1]
[4,3,8,5,6,1,7,2] => [1,2,2,2,1]
[3,2,1,8,4,5,6,7] => [1,1,2,4]
[1,6,8,3,7,2,4,5] => [3,2,3]
[3,8,1,5,7,2,4,6] => [2,3,3]
[1,2,6,8,4,7,3,5] => [4,2,2]
[6,1,5,8,2,4,7,3] => [1,3,3,1]
[1,2,4,8,3,6,7,5] => [4,3,1]
[4,1,2,7,8,3,6,5] => [1,4,2,1]
[3,5,7,4,8,6,1,2] => [3,2,1,2]
[5,3,8,4,7,6,1,2] => [1,2,2,1,2]
[8,7,1,2,5,4,6,3] => [1,1,3,2,1]
[5,8,1,2,3,7,6,4] => [2,4,1,1]
[1,2,8,4,3,5,7,6] => [3,1,3,1]
[1,2,5,3,7,6,4,8] => [3,2,1,2]
[6,1,2,8,7,4,5,3] => [1,3,1,2,1]
[7,1,6,2,8,4,5,3] => [1,2,2,2,1]
[1,2,6,3,8,5,4,7] => [3,2,1,2]
[1,2,8,5,3,6,4,7] => [3,1,2,2]
[1,2,7,3,8,5,4,6] => [3,2,1,2]
[4,1,2,7,8,6,3,5] => [1,4,1,2]
[1,6,2,8,4,3,5,7] => [2,2,1,3]
[1,6,4,2,7,3,5,8] => [2,1,2,3]
[1,8,6,3,2,4,5,7] => [2,1,1,4]
[1,7,3,2,8,4,5,6] => [2,1,2,3]
[3,1,7,8,6,2,4,5] => [1,3,1,3]
[1,8,7,2,4,5,6,3] => [2,1,4,1]
[1,8,7,3,5,6,2,4] => [2,1,3,2]
[1,3,2,8,7,4,5,6] => [2,2,1,3]
[1,8,3,2,6,4,5,7] => [2,1,2,3]
[1,7,6,3,2,4,5,8] => [2,1,1,4]
[1,2,8,4,3,7,5,6] => [3,1,2,2]
[8,5,1,7,2,4,6,3] => [1,1,2,3,1]
[5,3,8,7,4,6,1,2] => [1,2,1,2,2]
[3,8,6,4,7,5,1,2] => [2,1,2,1,2]
[6,1,8,2,7,4,5,3] => [1,2,2,2,1]
[1,2,5,3,8,6,4,7] => [3,2,1,2]
[1,2,7,5,3,6,4,8] => [3,1,2,2]
[1,2,6,3,7,5,4,8] => [3,2,1,2]
[1,2,3,7,5,4,8,6] => [4,1,2,1]
[3,7,4,8,6,5,1,2] => [2,2,1,1,2]
[1,8,2,7,6,4,5,3] => [2,2,1,2,1]
[2,8,7,6,5,1,4,3] => [2,1,1,1,2,1]
[7,1,6,3,2,5,4,8] => [1,2,1,2,2]
[2,7,6,3,1,5,8,4] => [2,1,1,3,1]
[1,8,4,3,6,5,2,7] => [2,1,2,1,2]
[1,8,4,6,5,3,2,7] => [2,2,1,1,2]
[7,4,2,1,6,5,3,8] => [1,1,1,2,1,2]
[7,6,1,4,3,5,2,8] => [1,1,2,2,2]
[7,4,1,3,5,2,6,8] => [1,1,3,3]
[7,3,1,2,4,6,5,8] => [1,1,4,2]
[1,8,6,3,4,5,2,7] => [2,1,3,2]
[1,8,6,7,4,2,5,3] => [2,2,1,2,1]
[3,6,2,1,4,8,5,7] => [2,1,3,2]
[3,1,7,2,4,6,8,5] => [1,2,4,1]
[3,4,7,1,5,2,8,6] => [3,2,2,1]
[3,6,7,4,1,5,8,2] => [3,1,3,1]
[4,3,2,7,1,5,8,6] => [1,1,2,3,1]
[3,1,2,8,6,5,4,7] => [1,3,1,1,2]
[5,4,8,6,1,2,3,7] => [1,2,1,4]
[5,6,8,7,4,3,1,2] => [3,1,1,1,2]
[1,8,2,7,4,3,6,5] => [2,2,1,2,1]
[6,5,8,2,3,7,1,4] => [1,2,3,2]
[6,4,8,5,3,1,7,2] => [1,2,1,1,2,1]
[5,7,8,6,1,3,2,4] => [3,1,2,2]
[2,4,8,1,6,3,7,5] => [3,2,2,1]
[3,1,2,8,6,4,7,5] => [1,3,1,2,1]
[5,3,2,6,4,8,1,7] => [1,1,2,2,2]
[4,1,6,3,5,8,2,7] => [1,2,3,2]
[2,4,5,3,8,6,1,7] => [3,2,1,2]
[1,8,5,3,2,7,6,4] => [2,1,1,2,1,1]
[1,8,4,5,2,6,7,3] => [2,2,3,1]
[4,1,2,7,6,5,8,3] => [1,3,1,2,1]
[2,4,1,6,7,8,5,3] => [2,4,1,1]
[1,8,4,3,6,2,7,5] => [2,1,2,2,1]
[5,6,7,3,2,8,1,4] => [3,1,2,2]
[2,5,7,3,6,8,4,1] => [3,3,1,1]
[5,3,2,1,4,8,6,7] => [1,1,1,3,2]
[5,3,1,4,2,8,6,7] => [1,1,2,2,2]
[7,6,1,3,8,5,4,2] => [1,1,3,1,1,1]
[3,4,7,8,1,2,6,5] => [4,3,1]
[3,6,7,8,1,4,5,2] => [4,3,1]
[3,6,2,8,1,5,4,7] => [2,2,2,2]
[2,3,6,8,5,1,4,7] => [4,1,3]
[3,1,6,4,8,2,5,7] => [1,2,2,3]
[7,3,2,6,8,5,1,4] => [1,1,3,1,2]
[7,3,5,8,4,6,1,2] => [1,3,2,2]
[7,5,2,8,4,1,6,3] => [1,1,2,1,2,1]
[7,4,5,8,2,1,3,6] => [1,3,1,3]
[1,8,5,2,4,6,3,7] => [2,1,3,2]
[1,8,4,2,3,5,7,6] => [2,1,4,1]
[6,4,2,8,3,5,1,7] => [1,1,2,2,2]
[6,3,4,8,2,5,7,1] => [1,3,3,1]
[7,5,4,8,3,6,2,1] => [1,1,2,2,1,1]
[2,7,4,8,5,3,6,1] => [2,2,1,2,1]
[7,1,5,4,8,3,6,2] => [1,2,2,2,1]
[7,3,2,5,8,4,6,1] => [1,1,3,2,1]
[8,4,6,3,7,2,5,1] => [1,2,2,2,1]
[7,4,6,3,8,5,1,2] => [1,2,2,1,2]
[2,5,6,8,3,4,1,7] => [4,2,2]
[8,4,6,2,7,5,3,1] => [1,2,2,1,1,1]
[8,5,6,7,2,4,3,1] => [1,3,2,1,1]
[2,5,6,8,4,3,1,7] => [4,1,1,2]
[2,5,7,8,4,1,3,6] => [4,1,3]
[6,5,7,8,4,1,3,2] => [1,3,1,2,1]
[7,5,6,8,2,4,1,3] => [1,3,2,2]
[7,4,6,2,8,5,1,3] => [1,2,2,1,2]
[4,3,2,6,8,5,1,7] => [1,1,3,1,2]
[3,5,6,8,2,4,1,7] => [4,2,2]
[3,5,6,8,4,2,1,7] => [4,1,1,2]
[2,6,7,8,1,4,5,3] => [4,3,1]
[3,6,7,8,1,4,2,5] => [4,2,2]
[3,5,7,8,2,1,4,6] => [4,1,3]
[2,6,7,8,1,4,3,5] => [4,2,2]
[6,5,7,8,3,1,4,2] => [1,3,1,2,1]
[2,5,7,8,3,1,4,6] => [4,1,3]
[2,4,7,3,8,1,5,6] => [3,2,3]
[6,4,7,3,8,1,5,2] => [1,2,2,2,1]
[6,4,7,3,8,1,2,5] => [1,2,2,3]
[7,4,6,3,8,2,1,5] => [1,2,2,1,2]
[6,3,2,5,4,8,1,7] => [1,1,2,2,2]
[6,4,5,2,3,8,1,7] => [1,2,3,2]
[6,4,5,3,2,8,1,7] => [1,2,1,2,2]
[5,4,6,3,8,2,1,7] => [1,2,2,1,2]
[5,4,7,3,8,1,6,2] => [1,2,2,2,1]
[2,5,7,8,3,1,6,4] => [4,1,2,1]
[4,5,7,8,3,1,2,6] => [4,1,3]
[4,5,6,8,2,3,1,7] => [4,2,2]
[5,4,6,2,8,3,1,7] => [1,2,2,1,2]
[5,3,2,6,8,4,1,7] => [1,1,3,1,2]
[5,4,7,2,8,1,3,6] => [1,2,2,3]
[4,5,7,8,2,1,3,6] => [4,1,3]
[4,6,7,8,1,3,2,5] => [4,2,2]
[4,6,7,8,1,3,5,2] => [4,3,1]
[2,6,7,8,1,3,5,4] => [4,3,1]
[2,6,7,8,1,5,3,4] => [4,2,2]
[4,6,7,8,1,5,2,3] => [4,2,2]
[4,6,7,8,1,2,5,3] => [4,3,1]
[4,5,7,8,2,1,6,3] => [4,1,2,1]
[5,4,7,2,8,1,6,3] => [1,2,2,2,1]
[5,3,2,7,8,1,6,4] => [1,1,3,2,1]
[4,3,2,7,8,1,6,5] => [1,1,3,2,1]
[3,5,7,8,2,1,6,4] => [4,1,2,1]
[3,6,7,8,1,2,5,4] => [4,3,1]
[3,6,7,8,1,5,2,4] => [4,2,2]
[3,6,7,8,1,5,4,2] => [4,2,1,1]
[2,6,7,8,1,5,4,3] => [4,2,1,1]
[4,2,7,1,5,3,8,6] => [1,2,2,2,1]
[4,2,8,6,1,5,3,7] => [1,2,1,2,2]
[3,2,6,7,5,1,4,8] => [1,3,1,3]
[2,7,1,3,5,4,8,6] => [2,3,2,1]
[4,7,2,1,5,8,6,3] => [2,1,3,1,1]
[7,2,1,3,5,8,6,4] => [1,1,4,1,1]
[2,3,6,4,7,1,5,8] => [3,2,3]
[1,3,4,8,2,7,5,6] => [4,2,2]
[3,1,4,8,2,6,7,5] => [1,3,3,1]
[8,3,1,6,2,5,7,4] => [1,1,2,3,1]
[4,8,6,2,1,5,7,3] => [2,1,1,3,1]
[4,8,3,6,5,1,7,2] => [2,2,1,2,1]
[6,4,7,3,5,1,8,2] => [1,2,2,2,1]
[6,4,7,5,1,8,2,3] => [1,2,1,2,2]
[3,6,1,7,5,8,2,4] => [2,2,2,2]
[7,3,5,1,6,8,2,4] => [1,2,3,2]
[4,7,3,5,6,1,8,2] => [2,3,2,1]
[3,4,6,8,5,1,7,2] => [4,1,2,1]
[4,6,8,2,1,5,7,3] => [3,1,3,1]
[6,8,2,1,3,5,7,4] => [2,1,4,1]
[1,8,2,3,5,7,4,6] => [2,4,2]
[2,7,3,6,1,4,5,8] => [2,2,4]
[2,6,1,3,5,8,4,7] => [2,4,2]
[7,3,2,5,6,1,4,8] => [1,1,3,3]
[4,7,5,2,6,1,3,8] => [2,1,2,3]
[4,6,2,8,1,5,3,7] => [2,2,2,2]
[8,4,1,2,7,5,3,6] => [1,1,3,1,2]
[4,5,6,2,7,1,3,8] => [3,2,3]
[8,5,1,2,6,3,4,7] => [1,1,3,3]
[1,6,2,7,4,8,3,5] => [2,2,2,2]
[6,2,1,7,8,5,3,4] => [1,1,3,1,2]
[6,7,3,8,4,1,5,2] => [2,2,1,2,1]
[2,7,8,4,1,5,6,3] => [3,1,3,1]
[2,7,1,8,5,6,3,4] => [2,2,2,2]
[8,2,5,1,6,7,3,4] => [1,2,3,2]
[8,2,4,5,1,6,7,3] => [1,3,3,1]
[3,8,4,5,6,1,7,2] => [2,3,2,1]
[4,5,8,3,6,7,1,2] => [3,3,2]
[4,5,8,3,7,6,1,2] => [3,2,1,2]
[4,2,8,3,7,1,6,5] => [1,2,2,2,1]
[7,2,3,4,8,1,6,5] => [1,4,2,1]
[7,2,3,4,8,1,5,6] => [1,4,3]
[7,6,3,4,8,5,1,2] => [1,1,3,1,2]
[7,6,3,5,8,4,1,2] => [1,1,3,1,2]
[7,6,3,8,4,5,1,2] => [1,1,2,2,2]
[7,2,3,8,5,1,4,6] => [1,3,1,3]
[7,2,3,8,5,1,6,4] => [1,3,1,2,1]
[2,6,4,8,1,5,7,3] => [2,2,3,1]
[7,2,3,8,4,1,5,6] => [1,3,1,3]
[7,2,3,5,8,1,4,6] => [1,4,3]
[7,8,2,3,6,1,4,5] => [2,3,3]
[7,8,2,3,6,1,5,4] => [2,3,2,1]
[4,2,6,3,7,1,5,8] => [1,2,2,3]
[7,2,3,5,8,1,6,4] => [1,4,2,1]
[7,2,3,8,4,1,6,5] => [1,3,1,2,1]
[2,6,4,8,1,3,7,5] => [2,2,3,1]
[3,6,4,8,1,7,5,2] => [2,2,2,1,1]
[7,6,5,1,2,3,8,4] => [1,1,1,4,1]
[7,6,5,1,4,2,8,3] => [1,1,1,2,2,1]
[2,6,4,5,1,8,7,3] => [2,2,2,1,1]
[3,5,6,4,1,2,7,8] => [3,1,4]
[7,8,5,4,1,2,6,3] => [2,1,1,3,1]
[3,5,6,4,1,2,8,7] => [3,1,3,1]
[7,6,5,1,4,2,3,8] => [1,1,1,2,3]
[7,6,5,1,2,4,3,8] => [1,1,1,3,2]
[7,6,5,1,2,4,8,3] => [1,1,1,4,1]
[7,6,5,1,3,2,8,4] => [1,1,1,2,2,1]
[7,6,5,1,3,2,4,8] => [1,1,1,2,3]
[7,6,5,1,3,4,2,8] => [1,1,1,3,2]
[7,2,3,4,5,1,8,6] => [1,4,2,1]
[2,6,4,3,1,5,8,7] => [2,1,1,3,1]
[2,6,4,3,1,8,5,7] => [2,1,1,2,2]
[2,6,4,3,1,8,7,5] => [2,1,1,2,1,1]
[3,5,8,4,1,2,7,6] => [3,1,3,1]
[3,5,8,4,1,2,6,7] => [3,1,4]
[3,5,8,4,1,6,2,7] => [3,1,2,2]
[4,2,8,3,6,1,7,5] => [1,2,2,2,1]
[3,5,8,4,1,6,7,2] => [3,1,3,1]
[2,5,8,4,1,7,3,6] => [3,1,2,2]
[3,6,4,2,1,7,8,5] => [2,1,1,3,1]
[3,6,4,2,1,7,5,8] => [2,1,1,2,2]
[3,5,6,4,1,8,7,2] => [3,1,2,1,1]
[2,6,4,5,1,3,7,8] => [2,2,4]
[7,6,5,1,4,3,8,2] => [1,1,1,2,2,1]
[7,6,5,1,2,8,4,3] => [1,1,1,3,1,1]
[7,6,5,1,2,8,3,4] => [1,1,1,3,2]
[7,6,5,1,8,2,4,3] => [1,1,1,2,2,1]
[7,6,5,1,8,2,3,4] => [1,1,1,2,3]
[7,6,5,1,8,3,2,4] => [1,1,1,2,1,2]
[7,6,5,1,4,8,2,3] => [1,1,1,3,2]
[3,6,4,5,1,7,2,8] => [2,2,2,2]
[2,5,6,4,1,7,8,3] => [3,1,3,1]
[7,8,5,4,1,6,3,2] => [2,1,1,2,1,1]
[2,5,6,4,1,7,3,8] => [3,1,2,2]
[3,6,4,5,1,7,8,2] => [2,2,3,1]
[7,6,5,1,4,8,3,2] => [1,1,1,3,1,1]
[7,6,5,1,8,3,4,2] => [1,1,1,2,2,1]
[7,6,5,1,8,4,2,3] => [1,1,1,2,1,2]
[4,1,7,6,2,8,5,3] => [1,2,1,2,1,1]
[7,8,6,2,1,3,5,4] => [2,1,1,3,1]
[3,7,6,1,2,8,4,5] => [2,1,3,2]
[2,6,5,3,1,4,8,7] => [2,1,1,3,1]
[4,6,1,5,3,2,8,7] => [2,2,1,2,1]
[3,6,1,4,2,5,8,7] => [2,2,3,1]
[2,6,4,5,7,8,1,3] => [2,4,2]
[8,7,1,6,5,2,4,3] => [1,1,2,1,2,1]
[7,2,5,6,8,1,3,4] => [1,4,3]
[6,1,3,4,2,8,7,5] => [1,3,2,1,1]
[2,4,5,6,1,8,7,3] => [4,2,1,1]
[8,4,1,6,5,7,3,2] => [1,1,2,2,1,1]
[2,8,3,4,7,5,1,6] => [2,3,1,2]
[6,8,2,7,4,3,5,1] => [2,2,1,2,1]
[4,7,8,5,1,6,3,2] => [3,1,2,1,1]
[8,2,6,4,7,3,5,1] => [1,2,2,2,1]
[4,8,6,1,7,3,2,5] => [2,1,2,1,2]
[8,7,3,2,1,5,4,6] => [1,1,1,1,2,2]
[3,8,5,1,7,2,4,6] => [2,1,2,3]
[6,8,7,1,3,2,4,5] => [2,1,2,3]
[2,5,1,8,7,4,6,3] => [2,2,1,2,1]
[3,7,1,8,4,5,6,2] => [2,2,3,1]
[6,2,3,8,4,7,5,1] => [1,3,2,1,1]
[8,6,4,3,1,7,2,5] => [1,1,1,1,2,2]
[8,3,7,4,6,1,2,5] => [1,2,2,3]
[7,1,3,8,6,4,5,2] => [1,3,1,2,1]
[2,3,5,8,6,7,4,1] => [4,2,1,1]
[7,4,2,1,8,6,5,3] => [1,1,1,2,1,1,1]
[4,6,7,2,5,8,3,1] => [3,3,1,1]
[7,6,2,5,3,8,1,4] => [1,1,2,2,2]
[6,2,1,3,4,8,7,5] => [1,1,4,1,1]
[6,5,4,2,8,3,1,7] => [1,1,1,2,1,2]
[5,4,3,1,8,7,2,6] => [1,1,1,2,1,2]
[6,1,4,3,8,5,2,7] => [1,2,2,1,2]
[4,7,6,2,8,1,5,3] => [2,1,2,2,1]
[6,4,5,1,7,8,3,2] => [1,2,3,1,1]
[4,2,3,1,7,8,6,5] => [1,2,3,1,1]
[3,4,2,1,8,6,7,5] => [2,1,2,2,1]
[2,7,6,8,1,5,3,4] => [2,2,2,2]
[6,4,5,8,3,1,2,7] => [1,3,1,3]
[8,1,3,2,5,6,7,4] => [1,2,4,1]
[3,6,8,1,5,2,4,7] => [3,2,3]
[3,2,8,7,4,5,1,6] => [1,2,1,2,2]
[6,3,8,5,7,4,2,1] => [1,2,2,1,1,1]
[7,4,6,8,5,1,2,3] => [1,3,1,3]
[2,1,4,8,7,5,3,6] => [1,3,1,1,2]
[2,1,6,8,3,7,5,4] => [1,3,2,1,1]
[3,6,8,2,4,1,5,7] => [3,2,3]
[6,2,8,1,7,5,4,3] => [1,2,2,1,1,1]
[2,6,5,4,8,1,3,7] => [2,1,2,3]
[6,5,3,4,8,1,7,2] => [1,1,3,2,1]
[8,4,3,2,5,1,7,6] => [1,1,1,2,2,1]
[4,2,8,1,5,3,6,7] => [1,2,2,3]
[5,1,8,2,6,4,3,7] => [1,2,2,1,2]
[7,4,8,6,2,1,3,5] => [1,2,1,1,3]
[4,6,2,8,3,7,5,1] => [2,2,2,1,1]
[2,1,5,8,3,6,4,7] => [1,3,2,2]
[2,8,5,3,6,7,1,4] => [2,1,3,2]
[7,8,5,6,4,1,3,2] => [2,2,1,2,1]
[5,8,4,1,6,3,7,2] => [2,1,2,2,1]
[4,8,1,3,5,7,6,2] => [2,4,1,1]
[3,8,1,4,5,6,2,7] => [2,4,2]
[7,6,8,3,5,1,4,2] => [1,2,2,2,1]
[7,8,6,3,5,1,4,2] => [2,1,2,2,1]
[5,3,8,7,6,1,4,2] => [1,2,1,1,2,1]
[6,5,8,4,7,1,3,2] => [1,2,2,2,1]
[6,7,4,2,5,3,1,8] => [2,1,2,1,2]
[7,6,4,8,3,1,5,2] => [1,1,2,1,2,1]
[7,4,8,5,6,1,3,2] => [1,2,2,2,1]
[7,4,2,5,6,3,1,8] => [1,1,3,1,2]
[4,2,7,5,6,3,1,8] => [1,2,2,1,2]
[3,4,7,5,6,2,1,8] => [3,2,1,2]
[4,7,3,5,6,2,1,8] => [2,3,1,2]
[3,7,2,5,6,4,1,8] => [2,3,1,2]
[7,8,3,5,6,1,4,2] => [2,3,2,1]
[1,6,8,5,2,7,4,3] => [3,1,2,1,1]
[6,2,8,5,1,7,4,3] => [1,2,1,2,1,1]
[6,7,4,8,2,1,5,3] => [2,2,1,2,1]
[3,2,7,8,6,1,5,4] => [1,3,1,2,1]
[6,8,4,1,2,3,7,5] => [2,1,4,1]
[4,1,8,5,6,3,2,7] => [1,2,2,1,2]
[1,8,2,5,6,4,3,7] => [2,3,1,2]
[6,1,8,5,3,7,4,2] => [1,2,1,2,1,1]
[3,8,1,5,2,7,6,4] => [2,2,2,1,1]
[8,2,1,5,3,7,6,4] => [1,1,2,2,1,1]
[1,5,2,4,6,7,8,3] => [2,5,1]
[4,1,5,3,6,7,8,2] => [1,2,4,1]
[8,1,6,5,3,7,2,4] => [1,2,1,2,2]
[7,1,4,6,3,2,8,5] => [1,3,1,2,1]
[3,2,6,4,1,7,8,5] => [1,2,1,3,1]
[7,6,4,3,1,2,8,5] => [1,1,1,1,3,1]
[8,6,3,5,1,7,2,4] => [1,1,2,2,2]
[4,5,3,1,6,7,8,2] => [2,1,4,1]
[3,5,2,1,6,7,8,4] => [2,1,4,1]
[5,2,3,1,6,7,8,4] => [1,2,4,1]
[1,5,3,2,6,7,8,4] => [2,1,4,1]
[8,4,6,5,1,7,2,3] => [1,2,1,2,2]
[7,5,4,6,1,2,8,3] => [1,1,2,3,1]
[3,2,5,6,1,7,8,4] => [1,3,3,1]
[3,2,8,7,6,1,4,5] => [1,2,1,1,3]
[6,8,4,7,2,1,3,5] => [2,2,1,3]
[3,8,7,5,6,1,2,4] => [2,1,2,3]
[8,2,7,5,6,1,3,4] => [1,2,2,3]
[4,8,6,5,1,7,3,2] => [2,1,1,2,1,1]
[1,7,4,6,2,3,8,5] => [2,2,3,1]
[7,6,4,2,1,5,8,3] => [1,1,1,1,3,1]
[5,7,4,6,1,3,8,2] => [2,2,3,1]
[8,6,4,7,3,1,2,5] => [1,1,2,1,3]
[5,2,4,3,7,1,8,6] => [1,2,2,2,1]
[3,5,4,2,7,1,8,6] => [2,1,2,2,1]
[8,6,4,1,3,5,2,7] => [1,1,1,3,2]
[6,7,4,1,5,3,8,2] => [2,1,2,2,1]
[7,5,4,1,2,6,8,3] => [1,1,1,4,1]
[1,7,4,2,3,6,8,5] => [2,1,4,1]
[1,8,2,5,3,7,6,4] => [2,2,2,1,1]
[6,8,1,5,4,7,3,2] => [2,2,2,1,1]
[8,2,1,5,6,4,3,7] => [1,1,3,1,2]
[3,8,1,5,6,4,2,7] => [2,3,1,2]
[6,8,4,1,2,5,3,7] => [2,1,3,2]
[3,2,8,1,6,5,4,7] => [1,2,2,1,2]
[3,2,6,1,5,7,8,4] => [1,2,4,1]
[7,6,4,1,5,2,8,3] => [1,1,1,2,2,1]
[8,6,1,5,4,7,2,3] => [1,1,2,2,2]
[3,5,1,4,6,7,8,2] => [2,5,1]
[5,2,1,4,6,7,8,3] => [1,1,5,1]
[5,4,1,3,6,7,8,2] => [1,1,5,1]
[8,4,1,5,3,7,2,6] => [1,1,2,2,2]
[7,5,4,1,3,2,8,6] => [1,1,1,2,2,1]
[3,2,5,1,4,7,8,6] => [1,2,4,1]
[7,1,4,3,5,2,8,6] => [1,2,2,2,1]
[8,1,3,5,4,7,2,6] => [1,3,2,2]
[5,1,3,4,6,7,8,2] => [1,6,1]
[3,1,8,2,5,7,4,6] => [1,2,3,2]
[8,3,2,6,1,4,7,5] => [1,1,2,3,1]
[2,8,1,6,4,3,7,5] => [2,2,1,2,1]
[2,6,1,3,8,7,5,4] => [2,3,1,1,1]
[2,5,7,1,3,8,6,4] => [3,3,1,1]
[2,6,8,1,5,7,4,3] => [3,3,1,1]
[2,7,1,5,8,4,6,3] => [2,3,2,1]
[2,7,1,6,4,8,3,5] => [2,2,2,2]
[2,7,1,6,5,3,8,4] => [2,2,1,2,1]
[2,8,1,7,6,5,4,3] => [2,2,1,1,1,1]
[8,3,2,7,1,6,5,4] => [1,1,2,2,1,1]
[4,1,8,7,3,2,6,5] => [1,2,1,1,2,1]
[4,1,7,2,8,6,5,3] => [1,2,2,1,1,1]
[3,7,1,8,6,5,4,2] => [2,2,1,1,1,1]
[3,7,6,1,4,2,5,8] => [2,1,2,3]
[3,7,5,1,4,6,8,2] => [2,1,4,1]
[3,6,8,5,1,4,7,2] => [3,1,3,1]
[7,3,5,8,2,1,4,6] => [1,3,1,3]
[7,3,6,2,1,4,5,8] => [1,2,1,4]
[7,3,6,2,1,5,4,8] => [1,2,1,2,2]
[7,4,2,8,1,6,5,3] => [1,1,2,2,1,1]
[8,7,5,3,2,1,6,4] => [1,1,1,1,1,2,1]
[7,5,2,6,3,1,4,8] => [1,1,2,1,3]
[7,4,6,2,1,8,3,5] => [1,2,1,2,2]
[6,8,4,5,2,1,7,3] => [2,2,1,2,1]
[4,6,8,5,1,7,3,2] => [3,1,2,1,1]
[4,7,5,1,3,8,6,2] => [2,1,3,1,1]
[4,7,6,1,5,3,2,8] => [2,1,2,1,2]
[5,1,7,6,3,8,2,4] => [1,2,1,2,2]
[5,1,7,6,4,2,8,3] => [1,2,1,1,2,1]
[5,1,8,7,6,4,3,2] => [1,2,1,1,1,1,1]
[8,5,2,1,7,6,4,3] => [1,1,1,2,1,1,1]
[8,5,2,1,6,3,7,4] => [1,1,1,2,2,1]
[5,1,8,6,3,2,7,4] => [1,2,1,1,2,1]
[3,6,1,7,4,8,2,5] => [2,2,2,2]
[4,1,8,6,3,7,2,5] => [1,2,1,2,2]
[8,4,2,5,7,3,1,6] => [1,1,3,1,2]
[3,4,6,8,5,7,1,2] => [4,2,2]
[5,4,8,2,7,3,6,1] => [1,2,2,2,1]
[5,4,8,7,3,6,1,2] => [1,2,1,2,2]
[8,5,4,7,3,6,2,1] => [1,1,2,2,1,1]
[6,4,3,8,7,1,2,5] => [1,1,2,1,3]
[6,3,7,2,4,8,1,5] => [1,2,3,2]
[5,6,8,4,2,7,3,1] => [3,1,2,1,1]
[5,7,4,2,8,1,3,6] => [2,1,2,3]
[6,5,2,7,1,3,8,4] => [1,1,2,3,1]
[8,6,5,4,2,1,7,3] => [1,1,1,1,1,2,1]
[6,4,7,3,1,8,2,5] => [1,2,1,2,2]
[5,7,4,3,8,6,1,2] => [2,1,2,1,2]
[7,5,8,4,6,3,2,1] => [1,2,2,1,1,1]
[7,6,4,8,3,5,2,1] => [1,1,2,2,1,1]
[7,6,5,3,8,2,4,1] => [1,1,1,2,2,1]
[5,6,3,7,4,2,1,8] => [2,2,1,1,2]
[7,6,3,8,5,1,4,2] => [1,1,2,1,2,1]
[6,4,8,1,3,2,5,7] => [1,2,2,3]
[7,4,8,6,3,1,5,2] => [1,2,1,1,2,1]
[4,2,7,6,5,3,1,8] => [1,2,1,1,1,2]
[3,7,2,4,6,5,1,8] => [2,3,1,2]
[8,1,3,4,5,2,6,7] => [1,4,3]
[1,6,8,4,2,5,3,7] => [3,1,2,2]
[6,2,8,4,1,5,7,3] => [1,2,1,3,1]
[6,7,4,8,5,1,2,3] => [2,2,1,3]
[3,2,7,8,5,1,6,4] => [1,3,1,2,1]
[3,2,8,1,5,4,6,7] => [1,2,2,3]
[6,1,4,8,5,3,7,2] => [1,3,1,2,1]
[1,4,8,5,2,6,7,3] => [3,1,3,1]
[6,1,8,4,3,7,2,5] => [1,2,1,2,2]
[3,7,1,4,2,5,8,6] => [2,2,3,1]
[7,2,1,4,3,5,6,8] => [1,1,2,4]
[4,1,5,3,6,8,2,7] => [1,2,3,2]
[6,1,8,5,3,2,7,4] => [1,2,1,1,2,1]
[7,1,4,6,3,8,5,2] => [1,3,2,1,1]
[3,2,6,4,1,8,7,5] => [1,2,1,2,1,1]
[7,6,4,3,1,8,2,5] => [1,1,1,1,2,2]
[3,5,2,1,8,7,6,4] => [2,1,2,1,1,1]
[1,5,3,2,8,6,4,7] => [2,1,2,1,2]
[5,4,2,1,7,8,6,3] => [1,1,1,3,1,1]
[8,2,7,6,5,1,3,4] => [1,2,1,1,3]
[8,6,2,7,1,4,5,3] => [1,1,2,3,1]
[1,7,3,6,2,8,5,4] => [2,2,2,1,1]
[7,6,3,2,1,8,5,4] => [1,1,1,1,2,1,1]
[8,6,3,7,4,1,2,5] => [1,1,2,1,3]
[5,2,3,4,7,1,8,6] => [1,4,2,1]
[8,6,3,1,4,5,7,2] => [1,1,1,4,1]
[6,7,3,1,5,4,2,8] => [2,1,2,1,2]
[5,8,3,1,2,4,7,6] => [2,1,4,1]
[8,1,3,2,4,5,6,7] => [1,2,5]
[8,4,1,7,2,3,6,5] => [1,1,2,3,1]
[8,2,1,6,5,4,7,3] => [1,1,2,1,2,1]
[3,8,1,5,6,4,7,2] => [2,3,2,1]
[6,8,4,1,2,5,7,3] => [2,1,4,1]
[3,2,8,1,6,5,7,4] => [1,2,2,2,1]
[7,6,4,1,5,2,3,8] => [1,1,1,2,3]
[8,6,1,5,4,7,3,2] => [1,1,2,2,1,1]
[3,5,1,4,6,7,2,8] => [2,4,2]
[5,2,1,4,7,6,3,8] => [1,1,3,1,2]
[4,5,8,2,1,3,7,6] => [3,1,3,1]
[5,8,2,3,1,4,6,7] => [2,2,4]
[4,2,1,3,5,8,7,6] => [1,1,4,1,1]
[5,4,1,3,6,2,8,7] => [1,1,3,2,1]
[8,5,4,1,3,6,2,7] => [1,1,1,3,2]
[3,2,5,1,4,6,8,7] => [1,2,4,1]
[8,1,4,3,5,6,7,2] => [1,2,4,1]
[7,1,3,5,4,6,2,8] => [1,3,2,2]
[5,1,3,4,6,2,7,8] => [1,4,3]
[4,1,3,2,5,7,6,8] => [1,2,3,2]
[6,8,2,4,5,1,3,7] => [2,3,3]
[3,6,7,2,5,1,4,8] => [3,2,3]
[4,6,7,3,1,5,2,8] => [3,1,2,2]
[5,8,1,2,4,7,3,6] => [2,4,2]
[6,8,1,3,5,2,7,4] => [2,3,2,1]
[6,8,3,1,4,5,7,2] => [2,1,4,1]
[7,5,1,8,2,3,6,4] => [1,1,2,3,1]
[6,1,8,2,3,4,7,5] => [1,2,4,1]
[5,3,8,4,2,6,7,1] => [1,2,1,3,1]
[5,1,8,4,6,3,7,2] => [1,2,2,2,1]
[4,1,8,3,5,7,2,6] => [1,2,3,2]
[3,4,7,2,6,1,8,5] => [3,2,2,1]
[4,5,7,3,2,6,8,1] => [3,1,3,1]
[4,5,7,2,3,6,8,1] => [3,4,1]
[2,6,3,4,7,5,8,1] => [2,3,2,1]
[3,6,4,2,7,5,8,1] => [2,1,2,2,1]
[4,5,2,7,1,6,8,3] => [2,2,3,1]
[3,4,1,6,5,8,2,7] => [2,2,2,2]
[4,1,2,8,5,7,3,6] => [1,3,2,2]
[7,3,1,4,8,5,6,2] => [1,1,3,2,1]
[5,6,3,1,7,4,2,8] => [2,1,2,1,2]
[7,3,4,1,8,5,2,6] => [1,2,2,1,2]
[6,4,2,8,7,1,5,3] => [1,1,2,1,2,1]
[7,2,4,8,1,5,3,6] => [1,3,2,2]
[7,1,3,8,5,2,4,6] => [1,3,1,3]
[3,2,6,7,1,8,4,5] => [1,3,2,2]
[4,6,3,1,7,8,5,2] => [2,1,3,1,1]
[5,3,1,6,7,8,4,2] => [1,1,4,1,1]
[4,1,6,2,7,8,5,3] => [1,2,3,1,1]
[2,1,3,4,8,7,5,6] => [1,4,1,2]
[4,8,3,7,6,5,1,2] => [2,2,1,1,2]
[6,3,8,7,5,4,1,2] => [1,2,1,1,1,2]
[5,3,8,7,6,4,1,2] => [1,2,1,1,1,2]
[2,8,7,6,1,5,4,3] => [2,1,1,2,1,1]
[5,2,8,7,6,1,4,3] => [1,2,1,1,2,1]
[6,2,8,7,5,1,4,3] => [1,2,1,1,2,1]
[7,8,2,6,5,1,4,3] => [2,2,1,2,1]
[6,1,8,7,5,4,3,2] => [1,2,1,1,1,1,1]
[3,1,8,7,6,5,4,2] => [1,2,1,1,1,1,1]
[7,8,2,6,1,5,4,3] => [2,2,2,1,1]
[6,2,8,7,1,5,4,3] => [1,2,1,2,1,1]
[4,2,8,1,7,6,5,3] => [1,2,2,1,1,1]
[4,8,2,7,6,1,5,3] => [2,2,1,2,1]
[3,8,7,2,1,6,5,4] => [2,1,1,2,1,1]
[6,5,8,7,1,4,3,2] => [1,2,1,2,1,1]
[4,8,1,7,6,5,3,2] => [2,2,1,1,1,1]
[5,4,1,8,7,6,3,2] => [1,1,2,1,1,1,1]
[6,4,8,1,7,5,3,2] => [1,2,2,1,1,1]
[7,8,4,1,6,5,3,2] => [2,1,2,1,1,1]
[7,8,3,1,6,5,4,2] => [2,1,2,1,1,1]
[6,3,8,1,7,5,4,2] => [1,2,2,1,1,1]
[5,3,1,8,7,6,4,2] => [1,1,2,1,1,1,1]
[7,8,2,1,6,5,4,3] => [2,1,2,1,1,1]
[6,5,3,1,8,7,4,2] => [1,1,1,2,1,1,1]
[6,4,3,1,8,7,5,2] => [1,1,1,2,1,1,1]
[5,4,3,1,8,7,6,2] => [1,1,1,2,1,1,1]
[7,5,2,1,8,6,4,3] => [1,1,1,2,1,1,1]
[5,4,2,1,8,7,6,3] => [1,1,1,2,1,1,1]
[7,3,2,1,8,6,5,4] => [1,1,1,2,1,1,1]
[6,3,2,1,8,7,5,4] => [1,1,1,2,1,1,1]
[6,1,4,2,3,5,8,7] => [1,2,4,1]
[8,6,1,4,2,3,5,7] => [1,1,2,4]
[6,8,1,4,2,3,5,7] => [2,2,4]
[8,1,4,2,3,6,5,7] => [1,2,3,2]
[4,1,8,2,3,6,5,7] => [1,2,3,2]
[8,2,3,6,1,4,5,7] => [1,3,4]
[6,2,3,8,1,4,5,7] => [1,3,4]
[4,6,2,3,8,1,5,7] => [2,3,3]
[4,8,2,3,6,1,5,7] => [2,3,3]
[8,2,3,6,4,1,5,7] => [1,3,1,3]
[8,4,3,6,2,1,5,7] => [1,1,2,1,3]
[6,2,3,8,4,1,5,7] => [1,3,1,3]
[8,4,2,3,6,1,5,7] => [1,1,3,3]
[6,4,2,3,8,1,5,7] => [1,1,3,3]
[2,6,4,3,8,1,5,7] => [2,1,2,3]
[2,8,4,3,6,1,5,7] => [2,1,2,3]
[2,6,3,8,4,1,5,7] => [2,2,1,3]
[6,3,8,4,2,1,5,7] => [1,2,1,1,3]
[2,6,3,8,1,4,5,7] => [2,2,4]
[2,8,3,6,1,4,5,7] => [2,2,4]
[8,3,6,4,2,1,5,7] => [1,2,1,1,3]
[2,8,3,6,4,1,5,7] => [2,2,1,3]
[8,3,6,2,4,1,5,7] => [1,2,2,3]
[8,3,6,2,1,4,5,7] => [1,2,1,4]
[6,2,1,3,8,4,5,7] => [1,1,3,3]
[8,2,1,3,6,4,5,7] => [1,1,3,3]
[6,3,8,2,4,1,5,7] => [1,2,2,3]
[6,2,4,3,8,1,5,7] => [1,2,2,3]
[3,6,4,7,8,5,1,2] => [2,3,1,2]
[1,6,4,2,7,5,8,3] => [2,1,2,2,1]
[3,6,4,2,7,1,5,8] => [2,1,2,3]
[1,4,7,2,5,6,8,3] => [3,4,1]
[6,4,8,5,3,7,1,2] => [1,2,1,2,2]
[1,6,5,4,2,7,8,3] => [2,1,1,3,1]
[4,2,5,3,6,1,7,8] => [1,2,2,3]
[7,1,5,3,6,2,8,4] => [1,2,2,2,1]
[1,6,5,2,4,8,7,3] => [2,1,3,1,1]
[1,4,6,2,8,5,7,3] => [3,2,2,1]
[7,8,1,4,2,5,6,3] => [2,2,3,1]
[3,4,8,5,2,1,6,7] => [3,1,1,3]
[4,8,5,3,1,6,2,7] => [2,1,1,2,2]
[6,1,3,5,8,2,7,4] => [1,4,2,1]
[6,1,8,7,4,2,3,5] => [1,2,1,1,3]
[1,2,8,5,7,3,6,4] => [3,2,2,1]
[1,3,6,8,7,5,2,4] => [4,1,1,2]
[1,8,2,5,4,7,6,3] => [2,2,2,1,1]
[7,1,2,4,5,8,6,3] => [1,5,1,1]
[1,2,7,3,5,8,6,4] => [3,3,1,1]
[6,1,3,2,5,7,8,4] => [1,2,4,1]
[4,6,2,1,7,5,3,8] => [2,1,2,1,2]
[1,6,3,7,8,5,2,4] => [2,3,1,2]
[4,6,2,3,7,8,1,5] => [2,4,2]
[4,6,3,7,1,2,8,5] => [2,2,3,1]
[4,2,1,3,5,7,8,6] => [1,1,5,1]
[7,3,2,4,5,1,8,6] => [1,1,3,2,1]
[3,8,2,5,4,1,7,6] => [2,2,1,2,1]
[7,8,4,2,6,3,1,5] => [2,1,2,1,2]
[4,2,6,3,8,7,1,5] => [1,2,2,1,2]
[5,8,2,7,4,3,1,6] => [2,2,1,1,2]
[4,3,8,5,1,7,2,6] => [1,2,1,2,2]
[4,3,6,8,1,2,7,5] => [1,3,3,1]
[6,4,3,5,2,8,1,7] => [1,1,2,2,2]
[6,5,3,8,4,2,1,7] => [1,1,2,1,1,2]
[3,8,1,7,5,6,4,2] => [2,2,2,1,1]
[8,2,5,7,3,6,4,1] => [1,3,2,1,1]
[1,8,6,7,5,3,4,2] => [2,2,1,2,1]
[8,2,6,7,5,3,4,1] => [1,3,1,2,1]
[1,5,8,7,2,6,4,3] => [3,1,2,1,1]
[5,4,8,6,2,3,7,1] => [1,2,1,3,1]
[2,7,6,1,3,5,4,8] => [2,1,3,2]
[6,4,1,8,2,5,7,3] => [1,1,2,3,1]
[2,8,6,1,3,5,4,7] => [2,1,3,2]
[4,1,3,6,5,8,7,2] => [1,3,2,1,1]
[2,1,6,3,5,8,7,4] => [1,2,3,1,1]
[2,4,1,3,8,5,7,6] => [2,3,2,1]
[2,4,1,3,5,8,7,6] => [2,4,1,1]
[2,6,1,3,5,8,7,4] => [2,4,1,1]
[4,6,1,3,5,8,7,2] => [2,4,1,1]
[6,1,4,3,5,8,7,2] => [1,2,3,1,1]
[6,4,1,3,5,8,7,2] => [1,1,4,1,1]
[6,2,1,3,5,8,7,4] => [1,1,4,1,1]
[4,2,1,3,6,5,7,8] => [1,1,3,3]
[4,2,1,6,3,5,7,8] => [1,1,2,4]
[6,2,1,8,3,5,7,4] => [1,1,2,3,1]
[6,2,1,3,8,5,7,4] => [1,1,3,2,1]
[6,1,4,3,8,5,7,2] => [1,2,2,2,1]
[1,6,4,3,8,5,7,2] => [2,1,2,2,1]
[8,1,4,3,6,5,7,2] => [1,2,2,2,1]
[8,4,1,3,6,5,7,2] => [1,1,3,2,1]
[8,2,1,3,6,5,7,4] => [1,1,3,2,1]
[8,2,1,6,3,5,7,4] => [1,1,2,3,1]
[8,2,1,4,3,5,7,6] => [1,1,2,3,1]
[6,2,1,4,3,5,7,8] => [1,1,2,4]
[8,2,4,1,3,5,7,6] => [1,2,4,1]
[8,2,6,1,3,5,7,4] => [1,2,4,1]
[8,4,6,1,3,5,7,2] => [1,2,4,1]
[8,4,1,6,3,5,7,2] => [1,1,2,3,1]
[8,1,4,6,3,5,7,2] => [1,3,3,1]
[1,8,4,6,3,5,7,2] => [2,2,3,1]
[1,6,4,8,3,5,7,2] => [2,2,3,1]
[6,4,1,8,3,5,7,2] => [1,1,2,3,1]
[6,4,8,1,3,5,7,2] => [1,2,4,1]
[6,2,8,1,3,5,7,4] => [1,2,4,1]
[4,2,8,1,3,5,7,6] => [1,2,4,1]
[2,6,8,1,3,5,7,4] => [3,4,1]
[4,6,8,1,3,5,7,2] => [3,4,1]
[4,6,1,8,3,5,7,2] => [2,2,3,1]
[4,1,6,8,3,5,7,2] => [1,3,3,1]
[1,4,6,3,8,5,7,2] => [3,2,2,1]
[4,6,1,3,8,5,7,2] => [2,3,2,1]
[2,4,1,8,3,5,7,6] => [2,2,3,1]
[2,1,6,8,3,5,7,4] => [1,3,3,1]
[4,1,3,6,8,5,7,2] => [1,4,2,1]
[1,4,3,6,8,5,7,2] => [2,3,2,1]
[4,1,3,8,6,5,7,2] => [1,3,1,2,1]
[2,1,8,3,6,5,7,4] => [1,2,2,2,1]
[2,1,6,4,3,5,7,8] => [1,2,1,4]
[2,6,1,4,3,5,7,8] => [2,2,4]
[2,8,1,4,3,5,7,6] => [2,2,3,1]
[2,8,1,6,3,5,7,4] => [2,2,3,1]
[4,8,1,3,6,5,7,2] => [2,3,2,1]
[1,4,8,3,6,5,7,2] => [3,2,2,1]
[1,4,8,6,3,5,7,2] => [3,1,3,1]
[4,1,8,6,3,5,7,2] => [1,2,1,3,1]
[4,8,1,6,3,5,7,2] => [2,2,3,1]
[4,8,6,1,3,5,7,2] => [2,1,4,1]
[2,8,6,1,3,5,7,4] => [2,1,4,1]
[2,8,4,1,3,5,7,6] => [2,1,4,1]
[2,6,4,1,3,5,7,8] => [2,1,5]
[4,6,2,1,3,5,7,8] => [2,1,5]
[6,8,1,4,3,5,7,2] => [2,2,3,1]
[6,1,8,4,3,5,7,2] => [1,2,1,3,1]
[1,6,8,4,3,5,7,2] => [3,1,3,1]
[1,8,6,4,3,5,7,2] => [2,1,1,3,1]
[8,1,6,4,3,5,7,2] => [1,2,1,3,1]
[8,6,1,4,3,5,7,2] => [1,1,2,3,1]
[8,6,4,1,3,5,7,2] => [1,1,1,4,1]
[8,6,2,1,3,5,7,4] => [1,1,1,4,1]
[8,4,2,1,3,5,7,6] => [1,1,1,4,1]
[7,8,6,5,2,1,4,3] => [2,1,1,1,2,1]
[5,7,4,1,8,6,3,2] => [2,1,2,1,1,1]
[5,6,4,2,8,3,7,1] => [2,1,2,2,1]
[5,6,4,2,7,3,1,8] => [2,1,2,1,2]
[5,7,1,4,6,3,2,8] => [2,3,1,2]
[5,8,1,4,6,3,7,2] => [2,3,2,1]
[3,6,7,4,5,8,2,1] => [3,3,1,1]
[3,5,7,4,6,8,2,1] => [3,3,1,1]
[6,8,4,1,7,2,5,3] => [2,1,2,2,1]
[5,4,6,1,7,8,3,2] => [1,2,3,1,1]
[5,6,4,1,8,7,3,2] => [2,1,2,1,1,1]
[3,5,8,4,6,7,2,1] => [3,3,1,1]
[3,6,8,4,5,7,2,1] => [3,3,1,1]
[3,7,8,4,5,6,2,1] => [3,3,1,1]
[6,8,1,4,5,3,7,2] => [2,3,2,1]
[6,7,1,4,5,3,2,8] => [2,3,1,2]
[3,7,1,5,4,6,2,8] => [2,2,2,2]
[3,8,1,5,4,6,7,2] => [2,2,3,1]
[3,7,1,5,4,6,8,2] => [2,2,3,1]
[6,7,1,4,5,3,8,2] => [2,3,2,1]
[5,7,1,4,6,3,8,2] => [2,3,2,1]
[5,6,4,2,7,3,8,1] => [2,1,2,2,1]
[5,4,7,2,8,3,1,6] => [1,2,2,1,2]
[5,4,7,2,8,3,6,1] => [1,2,2,2,1]
[5,6,4,2,8,3,1,7] => [2,1,2,1,2]
[5,8,1,4,6,3,2,7] => [2,3,1,2]
[3,8,1,5,4,6,2,7] => [2,2,2,2]
[3,6,1,5,4,2,7,8] => [2,2,1,3]
[3,6,1,5,4,8,2,7] => [2,2,2,2]
[6,8,3,1,4,2,5,7] => [2,1,2,3]
[7,3,8,1,4,2,5,6] => [1,2,2,3]
[6,7,3,1,4,2,8,5] => [2,1,2,2,1]
[3,6,1,5,4,7,8,2] => [2,2,3,1]
[3,4,1,2,7,6,5,8] => [2,3,1,2]
[3,4,1,2,6,8,7,5] => [2,4,1,1]
[6,8,3,1,4,7,2,5] => [2,1,3,2]
[6,4,7,2,8,5,1,3] => [1,2,2,1,2]
[5,8,1,4,7,3,2,6] => [2,3,1,2]
[7,8,1,4,5,3,2,6] => [2,3,1,2]
[3,8,1,5,4,7,2,6] => [2,2,2,2]
[3,6,1,5,4,8,7,2] => [2,2,2,1,1]
[3,6,1,5,4,7,2,8] => [2,2,2,2]
[6,7,3,1,4,2,5,8] => [2,1,2,3]
[6,8,3,1,4,2,7,5] => [2,1,2,2,1]
[7,8,3,1,4,6,2,5] => [2,1,3,2]
[7,8,4,2,6,5,1,3] => [2,1,2,1,2]
[6,5,8,7,3,4,2,1] => [1,2,1,2,1,1]
[7,8,3,1,4,6,5,2] => [2,1,3,1,1]
[6,7,3,1,4,5,2,8] => [2,1,3,2]
[3,7,1,5,4,2,6,8] => [2,2,1,3]
[3,8,1,5,4,2,7,6] => [2,2,1,2,1]
[5,8,1,4,7,3,6,2] => [2,3,2,1]
[6,8,4,2,7,5,3,1] => [2,1,2,1,1,1]
[6,4,7,2,8,5,3,1] => [1,2,2,1,1,1]
[6,3,7,1,4,8,5,2] => [1,2,3,1,1]
[6,8,3,1,4,7,5,2] => [2,1,3,1,1]
[3,7,1,5,4,8,6,2] => [2,2,2,1,1]
[3,4,1,2,8,5,7,6] => [2,3,2,1]
[3,4,1,2,5,8,7,6] => [2,4,1,1]
[3,7,1,5,4,2,8,6] => [2,2,1,2,1]
[6,7,3,1,4,5,8,2] => [2,1,4,1]
[7,3,8,1,4,5,2,6] => [1,2,3,2]
[7,3,8,1,4,5,6,2] => [1,2,4,1]
[6,8,3,1,4,5,2,7] => [2,1,3,2]
[3,8,1,5,4,2,6,7] => [2,2,1,3]
[8,7,6,3,5,2,1,4] => [1,1,1,2,1,2]
[8,7,4,6,3,2,1,5] => [1,1,2,1,1,2]
[8,5,7,4,3,2,1,6] => [1,2,1,1,1,2]
[8,7,6,2,5,4,1,3] => [1,1,1,2,1,2]
[8,5,4,7,3,2,1,6] => [1,1,2,1,1,2]
[8,7,3,6,5,2,1,4] => [1,1,2,1,1,2]
[6,5,8,4,3,2,1,7] => [1,2,1,1,1,2]
[8,4,7,6,3,2,1,5] => [1,2,1,1,1,2]
[5,8,7,4,3,2,1,6] => [2,1,1,1,1,2]
[5,8,6,2,3,4,7,1] => [2,1,4,1]
[4,5,2,7,3,1,8,6] => [2,2,1,2,1]
[4,8,2,6,3,5,7,1] => [2,2,3,1]
[4,3,7,8,6,5,1,2] => [1,3,1,1,2]
[4,1,7,2,5,8,6,3] => [1,2,3,1,1]
[7,8,2,1,5,6,4,3] => [2,1,3,1,1]
[1,6,2,5,8,4,3,7] => [2,3,1,2]
[2,1,8,7,4,5,3,6] => [1,2,1,2,2]
[7,3,1,6,8,5,2,4] => [1,1,3,1,2]
[1,5,8,6,2,3,7,4] => [3,1,3,1]
[2,4,8,3,1,6,5,7] => [3,1,2,2]
[5,2,7,1,8,6,3,4] => [1,2,2,1,2]
[2,6,1,3,8,7,4,5] => [2,3,1,2]
[6,5,2,8,1,7,3,4] => [1,1,2,2,2]
[2,8,3,5,1,7,4,6] => [2,2,2,2]
[5,4,3,8,7,1,6,2] => [1,1,2,1,2,1]
[8,5,4,3,7,2,6,1] => [1,1,1,2,2,1]
[8,3,7,4,2,6,5,1] => [1,2,1,2,1,1]
[2,8,6,5,1,7,4,3] => [2,1,1,2,1,1]
[6,3,2,8,4,1,7,5] => [1,1,2,1,2,1]
[2,8,3,4,1,7,5,6] => [2,2,2,2]
[5,4,2,8,3,1,7,6] => [1,1,2,1,2,1]
[2,8,4,3,1,7,6,5] => [2,1,1,2,1,1]
[2,8,5,3,1,7,6,4] => [2,1,1,2,1,1]
[2,8,6,4,1,7,5,3] => [2,1,1,2,1,1]
[3,8,7,5,1,6,4,2] => [2,1,1,2,1,1]
[8,3,7,5,2,6,4,1] => [1,2,1,2,1,1]
[8,4,7,6,2,5,3,1] => [1,2,1,2,1,1]
[4,8,7,6,1,5,3,2] => [2,1,1,2,1,1]
[7,4,8,6,2,1,5,3] => [1,2,1,1,2,1]
[7,3,8,5,2,1,6,4] => [1,2,1,1,2,1]
[7,3,8,4,2,1,6,5] => [1,2,1,1,2,1]
[7,5,4,3,8,2,1,6] => [1,1,1,2,1,2]
[3,7,8,4,1,2,6,5] => [3,1,3,1]
[3,7,8,5,1,2,6,4] => [3,1,3,1]
[4,7,8,6,1,2,5,3] => [3,1,3,1]
[8,7,4,6,3,5,2,1] => [1,1,2,2,1,1]
[5,7,8,6,1,2,4,3] => [3,1,3,1]
[6,4,7,8,3,1,2,5] => [1,3,1,3]
[7,3,4,8,2,1,5,6] => [1,3,1,3]
[7,6,4,8,3,2,1,5] => [1,1,2,1,1,2]
[7,5,8,6,2,1,4,3] => [1,2,1,1,2,1]
[6,5,8,7,3,1,4,2] => [1,2,1,1,2,1]
[2,4,8,3,1,5,7,6] => [3,1,3,1]
[6,3,2,4,8,1,5,7] => [1,1,3,3]
[2,3,8,4,1,6,7,5] => [3,1,3,1]
[2,3,8,5,1,6,7,4] => [3,1,3,1]
[6,4,8,7,3,1,5,2] => [1,2,1,1,2,1]
[8,6,4,7,3,2,5,1] => [1,1,2,1,2,1]
[8,3,4,7,2,5,6,1] => [1,3,3,1]
[3,4,8,7,1,5,6,2] => [3,1,3,1]
[2,4,8,6,1,5,7,3] => [3,1,3,1]
[2,5,8,6,1,4,7,3] => [3,1,3,1]
[8,3,5,7,2,4,6,1] => [1,3,3,1]
[8,4,6,7,2,3,5,1] => [1,3,3,1]
[4,6,8,7,1,3,5,2] => [3,1,3,1]
[2,6,8,5,1,3,7,4] => [3,1,3,1]
[2,6,8,4,1,3,7,5] => [3,1,3,1]
[2,5,8,3,1,4,7,6] => [3,1,3,1]
[5,6,8,7,1,3,4,2] => [3,1,3,1]
[7,4,6,8,2,1,3,5] => [1,3,1,3]
[2,3,5,4,1,8,6,7] => [3,1,2,2]
[2,3,6,4,8,1,5,7] => [3,2,3]
[1,8,4,6,3,5,2,7] => [2,2,2,2]
[5,4,8,6,2,1,3,7] => [1,2,1,1,3]
[2,3,6,8,1,5,4,7] => [4,2,2]
[2,5,6,1,4,7,8,3] => [3,4,1]
[2,5,6,1,4,7,3,8] => [3,3,2]
[7,3,5,1,6,8,4,2] => [1,2,3,1,1]
[2,7,6,1,8,5,4,3] => [2,1,2,1,1,1]
[2,7,6,8,1,4,5,3] => [2,2,3,1]
[1,8,7,6,3,2,5,4] => [2,1,1,1,2,1]
[1,8,7,6,3,2,4,5] => [2,1,1,1,3]
[5,7,8,6,2,3,4,1] => [3,1,3,1]
[2,7,6,1,8,5,3,4] => [2,1,2,1,2]
[6,3,5,1,7,2,4,8] => [1,2,2,3]
[2,3,4,7,6,1,5,8] => [4,1,3]
[7,3,5,8,4,1,2,6] => [1,3,1,3]
[1,8,4,5,2,7,3,6] => [2,2,2,2]
[1,8,4,5,2,7,6,3] => [2,2,2,1,1]
[7,3,5,8,4,1,6,2] => [1,3,1,2,1]
[2,7,6,4,8,5,1,3] => [2,1,2,1,2]
[7,3,5,4,6,8,1,2] => [1,2,3,2]
[6,3,5,4,7,1,8,2] => [1,2,2,2,1]
[6,3,5,4,7,1,2,8] => [1,2,2,3]
[3,4,1,5,6,8,7,2] => [2,4,1,1]
[3,7,1,6,8,5,2,4] => [2,3,1,2]
[2,3,1,8,6,4,7,5] => [2,2,1,2,1]
[1,8,4,3,6,2,5,7] => [2,1,2,3]
[2,3,1,8,6,4,5,7] => [2,2,1,3]
[3,7,1,6,8,5,4,2] => [2,3,1,1,1]
[6,3,5,4,7,2,1,8] => [1,2,2,1,2]
[7,3,5,4,6,8,2,1] => [1,2,3,1,1]
[2,7,6,4,8,5,3,1] => [2,1,2,1,1,1]
[1,8,4,5,2,6,3,7] => [2,2,2,2]
[6,4,8,5,3,1,2,7] => [1,2,1,1,3]
[7,3,5,8,4,6,2,1] => [1,3,2,1,1]
[2,3,4,6,5,8,1,7] => [4,2,2]
[2,3,4,7,5,1,8,6] => [4,1,2,1]
[2,3,4,7,5,1,6,8] => [4,1,3]
[2,3,4,7,1,6,5,8] => [4,2,2]
[2,3,4,7,1,6,8,5] => [4,3,1]
[2,3,4,6,1,8,7,5] => [4,2,1,1]
[6,3,5,8,4,2,7,1] => [1,3,1,2,1]
[7,4,8,5,3,2,1,6] => [1,2,1,1,1,2]
[1,8,4,5,2,3,6,7] => [2,2,4]
[7,4,8,5,3,2,6,1] => [1,2,1,1,2,1]
[6,3,5,8,4,2,1,7] => [1,3,1,1,2]
[5,2,4,6,8,3,7,1] => [1,4,2,1]
[1,5,7,4,6,3,2,8] => [3,2,1,2]
[5,2,8,4,6,3,7,1] => [1,2,2,2,1]
[3,8,5,4,6,7,2,1] => [2,1,3,1,1]
[6,8,3,4,5,7,2,1] => [2,4,1,1]
[2,5,7,4,6,3,8,1] => [3,2,2,1]
[5,4,1,7,8,3,2,6] => [1,1,3,1,2]
[5,4,2,7,8,3,6,1] => [1,1,3,2,1]
[5,1,4,6,8,3,2,7] => [1,4,1,2]
[5,1,8,4,6,3,2,7] => [1,2,2,1,2]
[8,1,6,4,5,3,2,7] => [1,2,2,1,2]
[8,1,3,5,4,6,2,7] => [1,3,2,2]
[8,1,6,2,4,3,5,7] => [1,2,2,3]
[8,7,1,2,4,3,5,6] => [1,1,3,3]
[1,7,6,2,4,3,5,8] => [2,1,2,3]
[8,7,3,2,4,6,5,1] => [1,1,1,3,1,1]
[8,2,6,3,4,5,7,1] => [1,2,4,1]
[1,7,6,3,4,5,2,8] => [2,1,3,2]
[1,7,2,5,4,3,6,8] => [2,2,1,3]
[8,7,2,4,5,3,6,1] => [1,1,3,2,1]
[5,8,2,4,7,3,6,1] => [2,3,2,1]
[6,8,3,2,4,7,5,1] => [2,1,3,1,1]
[8,7,1,3,4,5,2,6] => [1,1,4,2]
[8,1,6,3,4,5,2,7] => [1,2,3,2]
[8,1,2,5,4,3,6,7] => [1,3,1,3]
[3,4,8,7,5,2,6,1] => [3,1,1,2,1]
[3,2,8,6,1,5,4,7] => [1,2,1,2,2]
[8,6,1,2,4,3,5,7] => [1,1,3,3]
[8,7,3,6,4,2,5,1] => [1,1,2,1,2,1]
[3,8,7,2,5,4,6,1] => [2,1,2,2,1]
[8,7,2,4,5,6,3,1] => [1,1,4,1,1]
[5,3,6,2,4,8,7,1] => [1,2,3,1,1]
[3,5,2,8,6,1,4,7] => [2,2,1,3]
[3,7,2,5,1,4,8,6] => [2,2,3,1]
[5,1,8,6,2,3,4,7] => [1,2,1,4]
[2,5,4,1,8,6,3,7] => [2,1,2,1,2]
[3,7,6,1,8,2,5,4] => [2,1,2,2,1]
[7,6,3,1,8,2,4,5] => [1,1,1,2,3]
[8,2,3,6,1,4,7,5] => [1,3,3,1]
[1,8,2,6,3,4,7,5] => [2,2,3,1]
[8,1,3,6,4,7,2,5] => [1,3,2,2]
[7,1,3,6,4,8,2,5] => [1,3,2,2]
[8,2,1,3,5,7,4,6] => [1,1,4,2]
[8,2,6,3,1,4,7,5] => [1,2,1,3,1]
[7,5,4,1,3,8,2,6] => [1,1,1,3,2]
[2,7,5,8,3,4,1,6] => [2,2,2,2]
[7,3,8,5,4,1,2,6] => [1,2,1,1,3]
[7,2,3,6,1,4,8,5] => [1,3,3,1]
[1,3,7,2,5,8,4,6] => [3,3,2]
[1,7,2,3,5,8,4,6] => [2,4,2]
[7,4,8,1,3,6,2,5] => [1,2,3,2]
[8,1,2,3,5,7,4,6] => [1,5,2]
[7,1,2,3,5,8,4,6] => [1,5,2]
[8,6,1,4,7,3,2,5] => [1,1,3,1,2]
[2,6,3,7,1,4,8,5] => [2,2,3,1]
[2,6,3,8,1,4,7,5] => [2,2,3,1]
[7,5,4,8,1,3,2,6] => [1,1,2,2,2]
[8,5,4,7,1,3,2,6] => [1,1,2,2,2]
[2,3,1,8,5,4,6,7] => [2,2,1,3]
[8,6,5,1,3,4,2,7] => [1,1,1,3,2]
[8,5,1,7,6,3,4,2] => [1,1,2,1,2,1]
[3,4,7,6,1,8,5,2] => [3,1,2,1,1]
[3,5,2,6,7,1,8,4] => [2,3,2,1]
[3,2,8,4,7,5,1,6] => [1,2,2,1,2]
[8,4,7,5,1,3,2,6] => [1,2,1,2,2]
[3,8,1,6,5,2,7,4] => [2,2,1,2,1]
[6,1,2,8,3,4,7,5] => [1,3,3,1]
[6,8,3,1,7,2,4,5] => [2,1,2,3]
[3,7,2,5,6,1,8,4] => [2,3,2,1]
[6,8,4,2,5,1,7,3] => [2,1,2,2,1]
[2,7,5,3,8,4,1,6] => [2,1,2,1,2]
[8,3,1,4,7,2,6,5] => [1,1,3,2,1]
[8,3,2,1,5,7,4,6] => [1,1,1,3,2]
[2,8,3,6,4,7,1,5] => [2,2,2,2]
[7,3,6,4,8,1,2,5] => [1,2,2,3]
[8,3,6,4,7,1,2,5] => [1,2,2,3]
[1,2,8,3,5,7,4,6] => [3,3,2]
[1,8,3,2,5,7,4,6] => [2,1,3,2]
[6,5,1,7,4,2,8,3] => [1,1,2,1,2,1]
[7,3,6,4,8,2,1,5] => [1,2,2,1,2]
[4,6,1,7,3,5,2,8] => [2,2,2,2]
[5,6,1,7,3,4,2,8] => [2,2,2,2]
[6,1,7,3,4,2,8,5] => [1,2,2,2,1]
[7,3,8,1,6,5,2,4] => [1,2,2,1,2]
[8,3,7,1,6,5,2,4] => [1,2,2,1,2]
[5,1,7,4,2,8,6,3] => [1,2,1,2,1,1]
[2,8,1,7,6,5,3,4] => [2,2,1,1,2]
[4,2,8,6,5,1,7,3] => [1,2,1,1,2,1]
[6,4,2,8,5,1,7,3] => [1,1,2,1,2,1]
[8,6,4,7,1,5,2,3] => [1,1,2,2,2]
[7,6,4,8,1,5,2,3] => [1,1,2,2,2]
[5,1,6,4,2,3,8,7] => [1,2,1,3,1]
[4,2,3,8,7,5,1,6] => [1,3,1,1,2]
[3,8,7,1,6,5,2,4] => [2,1,2,1,2]
[2,4,3,8,1,6,7,5] => [2,2,3,1]
[2,4,3,7,1,6,8,5] => [2,2,3,1]
[4,2,3,7,8,5,1,6] => [1,4,1,2]
[5,1,6,4,2,3,7,8] => [1,2,1,4]
[6,4,7,8,1,5,2,3] => [1,3,2,2]
[8,7,4,6,1,5,2,3] => [1,1,2,2,2]
[6,5,7,8,1,4,2,3] => [1,3,2,2]
[4,7,8,6,1,5,2,3] => [3,1,2,2]
[3,2,4,7,8,1,5,6] => [1,4,3]
[3,2,4,8,7,1,5,6] => [1,3,1,3]
[4,8,7,6,1,5,2,3] => [2,1,1,2,2]
[5,8,7,6,1,4,2,3] => [2,1,1,2,2]
[8,6,5,7,1,4,2,3] => [1,1,2,2,2]
[5,1,6,7,4,2,3,8] => [1,3,1,3]
[6,7,4,8,1,5,2,3] => [2,2,2,2]
[8,4,7,6,1,5,2,3] => [1,2,1,2,2]
[8,3,2,4,7,1,5,6] => [1,1,3,3]
[7,3,2,4,8,1,5,6] => [1,1,3,3]
[2,5,3,7,1,6,4,8] => [2,2,2,2]
[8,4,6,7,1,5,2,3] => [1,3,2,2]
[7,4,6,8,1,5,2,3] => [1,3,2,2]
[5,1,6,8,4,2,3,7] => [1,3,1,3]
[4,2,3,7,5,1,6,8] => [1,3,1,3]
[3,7,5,8,1,6,2,4] => [2,2,2,2]
[2,4,3,7,1,6,5,8] => [2,2,2,2]
[2,4,7,1,5,8,6,3] => [3,3,1,1]
[3,2,4,7,6,1,5,8] => [1,3,1,3]
[4,7,6,8,1,5,2,3] => [2,2,2,2]
[8,5,6,7,1,4,2,3] => [1,3,2,2]
[8,6,7,5,1,4,2,3] => [1,2,1,2,2]
[7,6,8,5,1,4,2,3] => [1,2,1,2,2]
[6,8,7,5,1,4,2,3] => [2,1,1,2,2]
[5,6,8,7,1,4,2,3] => [3,1,2,2]
[4,6,8,7,1,5,2,3] => [3,1,2,2]
[2,4,6,7,1,5,8,3] => [4,3,1]
[3,2,4,6,1,5,7,8] => [1,3,4]
[6,7,8,5,1,4,2,3] => [3,1,2,2]
[7,8,6,5,1,4,2,3] => [2,1,1,2,2]
[3,1,7,5,4,2,8,6] => [1,2,1,1,2,1]
[2,1,8,5,4,6,3,7] => [1,2,1,2,2]
[4,1,8,5,2,3,6,7] => [1,2,1,4]
[5,4,1,3,6,7,2,8] => [1,1,4,2]
[8,4,1,2,6,3,7,5] => [1,1,3,2,1]
[8,2,7,1,5,3,4,6] => [1,2,2,3]
[3,2,7,1,5,8,4,6] => [1,2,3,2]
[6,3,7,1,5,4,2,8] => [1,2,2,1,2]
[7,3,8,1,5,4,2,6] => [1,2,2,1,2]
[7,1,5,3,8,4,2,6] => [1,2,2,1,2]
[4,5,1,3,6,8,2,7] => [2,4,2]
[3,6,8,1,5,4,2,7] => [3,2,1,2]
[6,8,3,1,5,4,2,7] => [2,1,2,1,2]
[7,6,3,1,5,4,2,8] => [1,1,1,2,1,2]
[3,6,2,1,5,8,4,7] => [2,1,3,2]
[8,6,2,1,5,3,4,7] => [1,1,1,2,3]
[4,8,2,1,7,5,3,6] => [2,1,2,1,2]
[2,3,8,1,5,7,4,6] => [3,3,2]
[7,1,3,2,8,6,4,5] => [1,2,2,1,2]
[7,1,6,2,8,3,4,5] => [1,2,2,3]
[4,7,1,2,6,3,8,5] => [2,3,2,1]
[2,7,8,1,5,3,4,6] => [3,2,3]
[6,7,2,1,5,3,4,8] => [2,1,2,3]
[4,7,2,1,8,5,3,6] => [2,1,2,1,2]
[8,7,2,1,4,5,3,6] => [1,1,1,3,2]
[8,7,5,6,1,4,3,2] => [1,1,2,2,1,1]
[5,7,8,6,1,4,3,2] => [3,1,2,1,1]
[2,7,4,1,6,5,3,8] => [2,1,2,1,2]
[3,7,1,4,5,6,8,2] => [2,5,1]
[7,1,6,4,5,8,3,2] => [1,2,3,1,1]
[3,5,1,4,7,6,8,2] => [2,3,2,1]
[2,6,4,1,7,5,3,8] => [2,1,2,1,2]
[5,6,8,7,1,4,3,2] => [3,1,2,1,1]
[6,8,5,7,1,4,3,2] => [2,2,2,1,1]
[8,6,5,7,1,4,3,2] => [1,1,2,2,1,1]
[8,5,7,6,1,4,3,2] => [1,2,1,2,1,1]
[6,5,7,8,1,4,3,2] => [1,3,2,1,1]
[7,2,3,1,5,6,4,8] => [1,2,3,2]
[4,2,8,1,6,5,3,7] => [1,2,2,1,2]
[6,2,4,1,8,5,3,7] => [1,2,2,1,2]
[8,3,1,4,5,6,7,2] => [1,1,5,1]
[5,3,1,4,8,6,7,2] => [1,1,3,2,1]
[7,5,1,6,3,4,8,2] => [1,1,2,3,1]
[7,1,5,8,4,3,6,2] => [1,3,1,2,1]
[5,8,1,6,4,3,7,2] => [2,2,1,2,1]
[5,3,1,8,4,6,7,2] => [1,1,2,3,1]
[8,3,1,5,4,6,7,2] => [1,1,2,3,1]
[8,2,6,1,4,5,3,7] => [1,2,3,2]
[6,2,8,1,4,5,3,7] => [1,2,3,2]
[7,2,6,1,5,3,4,8] => [1,2,2,3]
[2,8,6,1,5,3,4,7] => [2,1,2,3]
[4,2,1,5,6,3,8,7] => [1,1,3,2,1]
[7,1,2,5,8,3,4,6] => [1,4,3]
[7,1,4,5,6,8,3,2] => [1,5,1,1]
[8,5,6,7,1,4,3,2] => [1,3,2,1,1]
[7,6,8,5,1,4,3,2] => [1,2,1,2,1,1]
[6,8,7,5,1,4,3,2] => [2,1,1,2,1,1]
[2,6,7,1,4,5,3,8] => [3,3,2]
[3,5,1,7,4,6,8,2] => [2,2,3,1]
[7,1,5,6,4,8,3,2] => [1,3,2,1,1]
[7,1,6,5,4,8,3,2] => [1,2,1,2,1,1]
[2,7,6,1,4,5,3,8] => [2,1,3,2]
[5,7,6,8,1,4,3,2] => [2,2,2,1,1]
[7,8,6,5,1,4,3,2] => [2,1,1,2,1,1]
[4,3,1,6,5,8,7,2] => [1,1,2,2,1,1]
[5,3,1,2,4,8,7,6] => [1,1,4,1,1]
[5,3,6,2,1,8,7,4] => [1,2,1,2,1,1]
[5,3,7,2,1,4,6,8] => [1,2,1,4]
[5,3,7,2,8,4,1,6] => [1,2,2,1,2]
[7,2,4,5,8,3,1,6] => [1,4,1,2]
[7,2,4,5,1,3,6,8] => [1,3,4]
[6,2,4,5,1,8,7,3] => [1,3,2,1,1]
[3,1,4,5,2,8,7,6] => [1,3,2,1,1]
[1,6,4,5,2,8,7,3] => [2,2,2,1,1]
[3,7,4,5,1,2,6,8] => [2,2,4]
[3,7,4,5,8,2,1,6] => [2,3,1,2]
[1,7,4,2,6,3,5,8] => [2,1,2,3]
[8,7,4,5,2,1,6,3] => [1,1,2,1,2,1]
[6,3,7,1,8,4,2,5] => [1,2,2,1,2]
[5,7,4,1,6,3,2,8] => [2,1,2,1,2]
[1,7,4,8,6,3,2,5] => [2,2,1,1,2]
[5,7,4,8,6,3,1,2] => [2,2,1,1,2]
[4,8,3,5,6,7,1,2] => [2,4,2]
[1,8,3,5,6,7,2,4] => [2,4,2]
[4,8,1,5,6,7,2,3] => [2,4,2]
[4,1,3,5,6,7,2,8] => [1,5,2]
[5,8,4,3,6,1,2,7] => [2,1,2,3]
[5,3,8,4,1,7,2,6] => [1,2,1,2,2]
[1,5,8,4,6,7,3,2] => [3,3,1,1]
[1,4,8,3,6,7,5,2] => [3,3,1,1]
[4,3,8,2,1,7,5,6] => [1,2,1,2,2]
[3,8,4,2,6,1,5,7] => [2,1,2,3]
[1,8,2,5,6,7,4,3] => [2,4,1,1]
[3,8,1,5,6,7,4,2] => [2,4,1,1]
[3,8,2,5,6,7,1,4] => [2,4,2]
[8,2,1,5,6,7,4,3] => [1,1,4,1,1]
[8,1,3,5,6,7,4,2] => [1,5,1,1]
[7,1,4,3,6,2,5,8] => [1,2,2,3]
[7,8,4,3,6,2,1,5] => [2,1,2,1,2]
[4,3,1,8,5,7,6,2] => [1,1,2,2,1,1]
[4,3,1,6,8,7,5,2] => [1,1,3,1,1,1]
[6,3,1,8,2,7,4,5] => [1,1,2,2,2]
[6,3,5,8,2,7,1,4] => [1,3,2,2]
[7,5,4,8,6,2,1,3] => [1,1,2,1,1,2]
[7,1,4,8,6,2,3,5] => [1,3,1,3]
[7,5,4,1,6,2,3,8] => [1,1,1,2,3]
[7,6,4,5,8,1,3,2] => [1,1,3,2,1]
[1,6,4,5,8,2,3,7] => [2,3,3]
[7,3,6,1,8,2,4,5] => [1,2,2,3]
[1,7,6,5,8,3,4,2] => [2,1,2,2,1]
[1,8,5,3,6,7,4,2] => [2,1,3,1,1]
[8,3,5,2,1,7,4,6] => [1,2,1,2,2]
[8,4,1,5,6,7,3,2] => [1,1,4,1,1]
[8,4,2,5,6,7,1,3] => [1,1,4,2]
[4,1,8,5,6,7,3,2] => [1,2,3,1,1]
[1,2,8,5,6,7,3,4] => [3,3,2]
[4,2,1,5,6,7,3,8] => [1,1,4,2]
[1,5,3,8,6,7,4,2] => [2,2,2,1,1]
[1,4,5,8,6,7,3,2] => [4,2,1,1]
[4,3,5,8,1,7,2,6] => [1,3,2,2]
[3,5,4,8,6,1,2,7] => [2,2,1,3]
[1,4,8,5,6,7,2,3] => [3,3,2]
[3,4,8,5,6,7,1,2] => [3,3,2]
[2,7,1,5,6,3,4,8] => [2,3,3]
[2,7,1,4,3,6,5,8] => [2,2,2,2]
[4,3,7,2,5,6,8,1] => [1,2,4,1]
[2,6,3,1,4,5,8,7] => [2,1,4,1]
[3,7,1,4,2,6,8,5] => [2,2,3,1]
[3,7,1,5,6,2,8,4] => [2,3,2,1]
[4,7,1,5,6,8,2,3] => [2,4,2]
[8,5,2,6,7,3,1,4] => [1,1,3,1,2]
[8,4,2,6,3,7,1,5] => [1,1,2,2,2]
[8,4,2,3,5,7,1,6] => [1,1,4,2]
[4,7,3,2,5,6,1,8] => [2,1,3,2]
[5,3,4,6,2,8,1,7] => [1,3,2,2]
[5,3,7,4,2,8,1,6] => [1,2,1,2,2]
[6,4,7,2,3,8,1,5] => [1,2,3,2]
[6,5,7,2,8,3,1,4] => [1,2,2,1,2]
[5,3,7,2,4,8,6,1] => [1,2,3,1,1]
[2,6,5,1,8,3,4,7] => [2,1,2,3]
[8,7,6,1,4,5,2,3] => [1,1,1,3,2]
[8,7,6,1,3,2,5,4] => [1,1,1,2,2,1]
[8,7,2,4,3,1,6,5] => [1,1,2,1,2,1]
[8,7,4,5,1,6,2,3] => [1,1,2,2,2]
[8,5,6,4,1,7,2,3] => [1,2,1,2,2]
[8,5,6,3,1,2,7,4] => [1,2,1,3,1]
[8,4,6,2,3,1,7,5] => [1,2,2,2,1]
[8,3,5,4,2,1,7,6] => [1,2,1,1,2,1]
[5,7,3,4,2,1,8,6] => [2,2,1,2,1]
[6,7,4,2,3,1,8,5] => [2,1,2,2,1]
[6,7,5,3,1,2,8,4] => [2,1,1,3,1]
[6,7,5,4,1,8,2,3] => [2,1,1,2,2]
[6,2,4,3,8,7,5,1] => [1,2,2,1,1,1]
[7,3,5,4,1,8,6,2] => [1,2,1,2,1,1]
[5,2,7,1,3,4,8,6] => [1,2,4,1]
[2,6,5,7,3,1,4,8] => [2,2,1,3]
[2,6,5,7,3,1,8,4] => [2,2,1,2,1]
[6,3,1,4,7,8,5,2] => [1,1,4,1,1]
[6,8,2,1,3,4,5,7] => [2,1,5]
[3,7,1,8,4,5,2,6] => [2,2,2,2]
[6,3,2,4,7,5,8,1] => [1,1,3,2,1]
[6,3,2,4,7,5,1,8] => [1,1,3,1,2]
[4,2,1,6,3,7,5,8] => [1,1,2,2,2]
[4,2,1,6,3,7,8,5] => [1,1,2,3,1]
[7,4,3,5,8,6,1,2] => [1,1,3,1,2]
[2,7,6,8,3,1,4,5] => [2,2,1,3]
[7,4,3,5,8,6,2,1] => [1,1,3,1,1,1]
[4,2,1,7,3,8,6,5] => [1,1,2,2,1,1]
[4,2,1,3,7,8,6,5] => [1,1,4,1,1]
[5,8,1,7,4,3,6,2] => [2,2,1,2,1]
[5,8,1,7,4,3,2,6] => [2,2,1,1,2]
[3,7,8,6,2,1,4,5] => [3,1,1,3]
[4,2,1,8,3,5,6,7] => [1,1,2,4]
[4,2,1,3,6,7,5,8] => [1,1,4,2]
[4,2,1,3,7,5,6,8] => [1,1,3,3]
[4,2,1,3,6,8,7,5] => [1,1,4,1,1]
[7,3,2,4,8,6,5,1] => [1,1,3,1,1,1]
[4,2,1,6,3,8,7,5] => [1,1,2,2,1,1]
[4,2,1,7,3,5,6,8] => [1,1,2,4]
[3,6,7,5,2,1,4,8] => [3,1,1,3]
[3,6,7,5,2,1,8,4] => [3,1,1,2,1]
[7,3,4,2,6,8,5,1] => [1,2,3,1,1]
[4,8,6,2,7,3,5,1] => [2,1,2,2,1]
[7,3,4,2,6,8,1,5] => [1,2,3,2]
[3,6,7,5,2,4,8,1] => [3,1,3,1]
[3,6,7,5,2,4,1,8] => [3,1,2,2]
[4,2,1,7,3,6,5,8] => [1,1,2,2,2]
[4,2,1,7,3,6,8,5] => [1,1,2,3,1]
[3,7,6,8,4,2,5,1] => [2,2,1,2,1]
[5,8,1,7,4,2,6,3] => [2,2,1,2,1]
[3,7,8,6,2,4,5,1] => [3,1,3,1]
[4,2,1,3,8,6,7,5] => [1,1,3,2,1]
[4,2,1,3,7,6,5,8] => [1,1,3,1,2]
[4,2,1,3,5,7,6,8] => [1,1,4,2]
[4,2,1,3,5,8,6,7] => [1,1,4,2]
[4,8,1,7,3,6,5,2] => [2,2,2,1,1]
[4,7,8,6,3,5,2,1] => [3,1,2,1,1]
[4,2,1,8,3,7,6,5] => [1,1,2,2,1,1]
[4,2,1,3,5,6,8,7] => [1,1,5,1]
[7,8,2,4,1,3,6,5] => [2,2,3,1]
[2,6,1,5,4,7,8,3] => [2,2,3,1]
[4,6,3,5,8,7,1,2] => [2,3,1,2]
[3,5,6,1,4,8,7,2] => [3,3,1,1]
[2,3,6,8,4,1,5,7] => [4,1,3]
[2,7,5,1,8,3,4,6] => [2,1,2,3]
[4,7,5,2,1,3,6,8] => [2,1,1,4]
[3,5,6,2,4,1,7,8] => [3,2,3]
[2,5,6,1,4,8,3,7] => [3,3,2]
[6,7,8,4,1,5,3,2] => [3,1,2,1,1]
[7,1,6,8,4,5,3,2] => [1,3,2,1,1]
[7,4,6,5,2,8,1,3] => [1,2,1,2,2]
[7,1,5,6,4,2,3,8] => [1,3,1,3]
[5,7,4,6,8,1,3,2] => [2,3,2,1]
[5,7,8,1,4,6,3,2] => [3,3,1,1]
[8,1,5,7,4,6,3,2] => [1,3,2,1,1]
[1,8,4,6,7,5,3,2] => [2,3,1,1,1]
[6,1,8,4,7,5,3,2] => [1,2,2,1,1,1]
[4,5,8,6,1,7,3,2] => [3,1,2,1,1]
[4,8,5,1,6,7,3,2] => [2,1,3,1,1]
[8,1,4,5,6,7,3,2] => [1,5,1,1]
[5,6,7,1,4,2,3,8] => [3,2,3]
[8,4,2,6,1,5,7,3] => [1,1,2,3,1]
[4,8,5,2,1,6,7,3] => [2,1,1,3,1]
[5,1,8,4,2,6,3,7] => [1,2,1,2,2]
[1,8,4,6,2,5,3,7] => [2,2,2,2]
[6,1,5,2,3,4,7,8] => [1,2,5]
[8,3,1,4,6,2,5,7] => [1,1,3,3]
[3,1,8,2,5,6,4,7] => [1,2,3,2]
[3,5,1,8,2,6,4,7] => [2,2,2,2]
[3,5,1,2,8,4,7,6] => [2,3,2,1]
[2,3,5,8,6,1,7,4] => [4,1,2,1]
[8,2,4,3,6,7,1,5] => [1,2,3,2]
[3,2,8,5,7,1,6,4] => [1,2,2,2,1]
[3,6,2,8,5,1,7,4] => [2,2,1,2,1]
[6,2,1,8,4,7,5,3] => [1,1,2,2,1,1]
[2,8,7,1,4,6,5,3] => [2,1,3,1,1]
[8,2,7,1,5,4,6,3] => [1,2,2,2,1]
[7,2,5,3,6,8,1,4] => [1,2,3,2]
[7,3,1,5,6,2,4,8] => [1,1,3,3]
[3,7,5,1,6,2,4,8] => [2,1,2,3]
[2,7,3,6,5,8,1,4] => [2,2,2,2]
[8,7,2,4,1,6,5,3] => [1,1,2,2,1,1]
[1,8,7,2,3,6,5,4] => [2,1,3,1,1]
[1,7,8,2,6,4,3,5] => [3,2,1,2]
[1,7,3,8,2,6,4,5] => [2,2,2,2]
[1,2,7,3,6,4,5,8] => [3,2,3]
[7,1,5,8,3,2,4,6] => [1,3,1,3]
[1,6,2,8,4,3,7,5] => [2,2,1,2,1]
[1,3,8,7,2,4,6,5] => [3,1,3,1]
[1,8,3,7,2,5,4,6] => [2,2,2,2]
[8,1,4,7,3,2,5,6] => [1,3,1,3]
[4,7,8,1,3,2,5,6] => [3,2,3]
[7,1,4,2,3,5,6,8] => [1,2,5]
[8,2,1,4,7,3,5,6] => [1,1,3,3]
[2,1,3,8,4,6,7,5] => [1,3,3,1]
[1,2,3,4,8,5,7,6] => [5,2,1]
[2,4,7,5,6,8,3,1] => [3,3,1,1]
[2,4,8,7,5,6,3,1] => [3,1,2,1,1]
[2,5,3,8,4,7,6,1] => [2,2,2,1,1]
[2,8,5,7,3,6,4,1] => [2,2,2,1,1]
[3,1,8,5,2,7,6,4] => [1,2,1,2,1,1]
[8,3,6,1,4,5,7,2] => [1,2,4,1]
[2,8,6,3,4,5,7,1] => [2,1,4,1]
[2,6,8,3,4,5,7,1] => [3,4,1]
[2,5,7,3,4,8,6,1] => [3,3,1,1]
[2,7,8,5,3,6,4,1] => [3,1,2,1,1]
[2,7,6,3,4,8,5,1] => [2,1,3,1,1]
[3,1,8,7,2,6,4,5] => [1,2,1,2,2]
[8,3,7,6,1,4,5,2] => [1,2,1,3,1]
[4,8,1,7,2,3,6,5] => [2,2,3,1]
[4,1,7,2,3,6,5,8] => [1,2,3,2]
[3,7,1,8,2,6,4,5] => [2,2,2,2]
[3,1,7,8,2,5,6,4] => [1,3,3,1]
[3,1,6,5,8,2,7,4] => [1,2,2,2,1]
[7,3,8,5,1,6,4,2] => [1,2,1,2,1,1]
[7,3,6,1,4,8,5,2] => [1,2,3,1,1]
[7,8,3,6,1,4,5,2] => [2,2,3,1]
[7,4,8,1,2,3,6,5] => [1,2,4,1]
[7,5,1,2,3,4,8,6] => [1,1,5,1]
[7,4,6,1,2,8,3,5] => [1,2,3,2]
[6,4,1,2,8,5,7,3] => [1,1,3,2,1]
[8,4,6,1,2,3,7,5] => [1,2,4,1]
[4,8,1,5,2,7,3,6] => [2,2,2,2]
[4,1,2,5,3,8,7,6] => [1,3,2,1,1]
[4,3,6,8,7,5,1,2] => [1,3,1,1,2]
[5,4,1,8,2,7,6,3] => [1,1,2,2,1,1]
[5,4,1,8,2,7,3,6] => [1,1,2,2,2]
[8,6,7,4,1,2,5,3] => [1,2,1,3,1]
[6,4,8,1,2,5,3,7] => [1,2,3,2]
[6,7,3,1,4,8,5,2] => [2,1,3,1,1]
[5,6,3,8,7,1,4,2] => [2,2,1,2,1]
[5,4,1,6,8,2,7,3] => [1,1,3,2,1]
[5,4,7,1,2,8,6,3] => [1,2,3,1,1]
[6,7,4,1,2,8,3,5] => [2,1,3,2]
[6,5,1,2,3,7,8,4] => [1,1,5,1]
[6,5,1,2,3,4,8,7] => [1,1,5,1]
[8,6,5,1,2,3,7,4] => [1,1,1,4,1]
[6,7,4,1,2,5,3,8] => [2,1,3,2]
[2,4,6,3,5,7,1,8] => [3,3,2]
[1,4,6,3,7,2,5,8] => [3,2,3]
[8,6,2,5,3,1,7,4] => [1,1,2,1,2,1]
[8,2,3,4,5,1,7,6] => [1,4,2,1]
[1,8,3,4,2,7,5,6] => [2,2,2,2]
[2,8,3,4,1,6,7,5] => [2,2,3,1]
[8,7,2,3,1,6,5,4] => [1,1,2,2,1,1]
[3,8,2,4,6,1,7,5] => [2,3,2,1]
[7,8,2,4,3,1,6,5] => [2,2,1,2,1]
[4,5,8,2,3,1,7,6] => [3,2,2,1]
[5,1,4,3,7,2,6,8] => [1,2,2,3]
[6,1,3,5,7,2,4,8] => [1,4,3]
[2,1,4,7,5,3,6,8] => [1,3,1,3]
[7,1,3,6,2,5,4,8] => [1,3,2,2]
[8,1,3,6,2,4,7,5] => [1,3,3,1]
[2,1,8,3,7,5,4,6] => [1,2,2,1,2]
[7,1,8,2,5,6,3,4] => [1,2,3,2]
[6,1,5,8,2,7,3,4] => [1,3,2,2]
[4,5,2,8,1,6,7,3] => [2,2,3,1]
[6,2,5,8,1,4,7,3] => [1,3,3,1]
[3,2,8,5,1,6,7,4] => [1,2,1,3,1]
[8,2,7,1,4,6,5,3] => [1,2,3,1,1]
[1,3,8,2,5,7,4,6] => [3,3,2]
[2,8,7,1,6,4,5,3] => [2,1,2,2,1]
[3,8,7,1,5,6,4,2] => [2,1,3,1,1]
[3,4,8,5,6,1,7,2] => [3,2,2,1]
[8,3,7,4,1,6,5,2] => [1,2,1,2,1,1]
[1,4,8,6,2,7,3,5] => [3,1,2,2]
[8,4,5,7,1,6,3,2] => [1,3,2,1,1]
[3,5,6,8,4,1,7,2] => [4,1,2,1]
[6,2,3,1,5,4,7,8] => [1,2,2,3]
[7,2,3,1,4,6,5,8] => [1,2,3,2]
[8,2,3,1,4,5,7,6] => [1,2,4,1]
[8,5,1,3,2,4,7,6] => [1,1,2,3,1]
[7,5,1,3,2,6,4,8] => [1,1,2,2,2]
[2,6,1,4,5,3,7,8] => [2,3,3]
[3,6,4,1,5,2,7,8] => [2,1,2,3]
[4,5,6,1,3,2,7,8] => [3,2,3]
[4,5,7,1,2,6,3,8] => [3,3,2]
[3,7,4,1,2,6,5,8] => [2,1,3,2]
[6,7,1,4,2,5,3,8] => [2,2,2,2]
[2,7,1,3,5,6,4,8] => [2,4,2]
[8,6,1,2,4,3,7,5] => [1,1,3,2,1]
[2,8,1,3,4,6,7,5] => [2,5,1]
[7,8,1,2,5,3,6,4] => [2,3,2,1]
[3,8,4,1,2,5,7,6] => [2,1,4,1]
[1,2,6,7,5,3,8,4] => [4,1,2,1]
[1,7,5,3,2,8,4,6] => [2,1,1,2,2]
[1,6,7,5,3,8,4,2] => [3,1,2,1,1]
[1,6,5,7,2,3,8,4] => [2,2,3,1]
[1,3,8,2,6,5,7,4] => [3,2,2,1]
[1,2,5,7,6,3,4,8] => [4,1,3]
[1,3,4,8,2,5,7,6] => [4,3,1]
[1,5,7,6,2,3,4,8] => [3,1,4]
[1,5,3,8,2,6,4,7] => [2,2,2,2]
[1,4,8,3,2,5,7,6] => [3,1,3,1]
[1,4,8,3,5,7,6,2] => [3,3,1,1]
[1,2,4,8,3,5,7,6] => [4,3,1]
[1,3,8,4,2,6,7,5] => [3,1,3,1]
[1,4,8,2,3,5,7,6] => [3,4,1]
[6,5,7,3,8,2,4,1] => [1,2,2,2,1]
[4,2,6,7,5,8,3,1] => [1,3,2,1,1]
[6,7,5,2,1,8,4,3] => [2,1,1,2,1,1]
[3,4,8,7,5,2,1,6] => [3,1,1,1,2]
[1,7,5,2,8,4,6,3] => [2,1,2,2,1]
[5,6,8,3,1,7,2,4] => [3,1,2,2]
[6,1,4,8,3,2,7,5] => [1,3,1,2,1]
[3,4,7,1,8,6,2,5] => [3,2,1,2]
[3,4,6,8,2,1,5,7] => [4,1,3]
[3,8,2,5,6,1,4,7] => [2,3,3]
[3,5,2,8,6,4,1,7] => [2,2,1,1,2]
[4,2,5,7,3,8,6,1] => [1,3,2,1,1]
[7,4,2,5,3,8,1,6] => [1,1,2,2,2]
[3,1,2,8,5,6,4,7] => [1,3,2,2]
[5,2,1,6,8,3,4,7] => [1,1,3,3]
[5,2,6,8,4,1,3,7] => [1,3,1,3]
[1,5,6,8,3,4,2,7] => [4,2,2]
[4,5,8,1,6,3,2,7] => [3,2,1,2]
[4,5,1,6,8,3,2,7] => [2,3,1,2]
[4,5,7,3,8,2,6,1] => [3,2,2,1]
[6,4,3,7,8,2,5,1] => [1,1,3,2,1]
[6,4,3,1,7,8,2,5] => [1,1,1,3,2]
[4,5,3,1,7,8,2,6] => [2,1,3,2]
[7,1,3,5,4,8,2,6] => [1,3,2,2]
[7,5,2,8,1,4,3,6] => [1,1,2,2,2]
[5,7,3,8,4,6,1,2] => [2,2,2,2]
[1,4,5,7,3,8,6,2] => [4,2,1,1]
[4,6,3,7,8,5,2,1] => [2,3,1,1,1]
[5,3,6,7,8,4,2,1] => [1,4,1,1,1]
[1,5,3,6,7,8,4,2] => [2,4,1,1]
[4,6,1,7,3,8,5,2] => [2,2,2,1,1]
[6,3,7,1,8,4,5,2] => [1,2,2,2,1]
[6,7,2,4,8,1,5,3] => [2,3,2,1]
[2,6,1,4,7,3,8,5] => [2,3,2,1]
[3,2,5,6,7,8,1,4] => [1,5,2]
[5,2,3,6,7,8,4,1] => [1,5,1,1]
[6,7,1,3,2,8,4,5] => [2,2,2,2]
[6,2,7,1,3,4,8,5] => [1,2,4,1]
[5,2,1,7,3,8,4,6] => [1,1,2,2,2]
[6,4,2,7,1,8,3,5] => [1,1,2,2,2]
[4,2,6,3,7,8,1,5] => [1,2,3,2]
[4,2,6,3,7,8,5,1] => [1,2,3,1,1]
[6,7,3,8,2,4,5,1] => [2,2,3,1]
[3,6,2,7,4,1,8,5] => [2,2,1,2,1]
[6,7,3,2,1,4,8,5] => [2,1,1,3,1]
[7,1,8,3,4,2,5,6] => [1,2,2,3]
[7,2,4,1,8,3,5,6] => [1,2,2,3]
[7,2,4,8,6,1,3,5] => [1,3,1,3]
[7,3,4,8,6,2,1,5] => [1,3,1,1,2]
[3,5,7,2,1,8,6,4] => [3,1,2,1,1]
[6,7,8,3,2,5,1,4] => [3,1,2,2]
[6,3,7,8,2,5,4,1] => [1,3,2,1,1]
[2,6,7,4,8,5,3,1] => [3,2,1,1,1]
[6,2,4,7,1,8,5,3] => [1,3,2,1,1]
[4,6,2,7,1,8,5,3] => [2,2,2,1,1]
[1,7,4,8,5,2,6,3] => [2,2,1,2,1]
[1,3,7,8,5,2,6,4] => [4,1,2,1]
[2,5,7,8,1,6,3,4] => [4,2,2]
[6,3,7,1,8,2,5,4] => [1,2,2,2,1]
[1,6,4,7,8,2,5,3] => [2,3,2,1]
[2,5,6,1,7,8,4,3] => [3,3,1,1]
[5,6,1,2,7,8,4,3] => [2,4,1,1]
[6,7,2,1,8,5,3,4] => [2,1,2,1,2]
[6,7,2,8,5,4,1,3] => [2,2,1,1,2]
[1,6,7,4,8,5,3,2] => [3,2,1,1,1]
[1,8,2,4,6,3,5,7] => [2,3,3]
[1,5,7,4,3,6,2,8] => [3,1,2,2]
[1,8,4,5,3,6,2,7] => [2,2,2,2]
[1,8,5,3,4,7,2,6] => [2,1,3,2]
[1,8,2,4,6,3,7,5] => [2,3,2,1]
[1,8,2,5,4,6,7,3] => [2,2,3,1]
[3,6,2,7,1,4,5,8] => [2,2,4]
[6,3,8,1,2,4,7,5] => [1,2,4,1]
[1,3,7,4,6,2,8,5] => [3,2,2,1]
[1,4,7,5,2,6,8,3] => [3,1,3,1]
[4,5,2,3,6,1,8,7] => [2,3,2,1]
[4,6,5,3,7,1,8,2] => [2,1,2,2,1]
[4,2,3,8,6,7,1,5] => [1,3,2,2]
[6,2,4,8,5,1,7,3] => [1,3,1,2,1]
[5,2,4,8,1,3,7,6] => [1,3,3,1]
[6,2,5,4,8,3,7,1] => [1,2,2,2,1]
[6,4,3,5,8,2,7,1] => [1,1,3,2,1]
[5,2,3,4,8,1,6,7] => [1,4,3]
[3,5,2,4,7,1,6,8] => [2,3,3]
[5,3,4,8,1,6,2,7] => [1,3,2,2]
[4,5,3,7,1,6,2,8] => [2,2,2,2]
[6,2,4,8,5,1,3,7] => [1,3,1,3]
[7,6,3,8,5,1,2,4] => [1,1,2,1,3]
[1,4,3,7,8,2,5,6] => [2,3,3]
[4,2,6,7,3,8,1,5] => [1,3,2,2]
[1,5,7,4,2,8,6,3] => [3,1,2,1,1]
[1,3,7,2,8,6,4,5] => [3,2,1,2]
[1,4,3,7,8,6,2,5] => [2,3,1,2]
[1,5,3,6,8,2,7,4] => [2,3,2,1]
[4,5,2,7,1,8,6,3] => [2,2,2,1,1]
[4,3,6,5,7,8,1,2] => [1,2,3,2]
[4,2,3,5,6,8,1,7] => [1,5,2]
[5,2,6,4,7,8,3,1] => [1,2,3,1,1]
[4,2,6,7,3,8,5,1] => [1,3,2,1,1]
[3,2,5,6,8,1,7,4] => [1,4,2,1]
[6,4,5,2,3,8,7,1] => [1,2,3,1,1]
[8,4,6,7,5,2,3,1] => [1,3,1,2,1]
[4,6,5,2,3,1,8,7] => [2,1,2,2,1]
[6,4,2,5,3,1,8,7] => [1,1,2,1,2,1]
[6,4,2,5,3,8,7,1] => [1,1,2,2,1,1]
[8,6,4,7,5,2,3,1] => [1,1,2,1,2,1]
[8,6,2,7,4,5,3,1] => [1,1,2,2,1,1]
[6,4,2,5,8,7,3,1] => [1,1,3,1,1,1]
[4,6,2,5,3,8,7,1] => [2,2,2,1,1]
[4,6,5,2,3,8,7,1] => [2,1,3,1,1]
[6,8,7,4,5,2,3,1] => [2,1,2,2,1]
[4,8,6,7,5,2,3,1] => [2,2,1,2,1]
[6,8,4,7,5,2,3,1] => [2,2,1,2,1]
[6,8,2,7,4,5,3,1] => [2,2,2,1,1]
[8,6,4,7,2,5,3,1] => [1,1,2,2,1,1]
[8,6,2,4,7,5,3,1] => [1,1,3,1,1,1]
[6,8,2,4,7,5,3,1] => [2,3,1,1,1]
[4,8,2,6,7,5,3,1] => [2,3,1,1,1]
[2,8,4,6,7,5,3,1] => [2,3,1,1,1]
[2,8,6,7,4,5,3,1] => [2,2,2,1,1]
[6,8,7,2,4,5,3,1] => [2,1,3,1,1]
[2,6,4,5,8,7,3,1] => [2,3,1,1,1]
[2,6,4,8,7,5,3,1] => [2,2,1,1,1,1]
[4,6,2,8,7,5,3,1] => [2,2,1,1,1,1]
[8,2,4,6,7,5,3,1] => [1,4,1,1,1]
[6,2,4,8,7,5,3,1] => [1,3,1,1,1,1]
[4,2,6,8,7,5,3,1] => [1,3,1,1,1,1]
[4,2,6,5,8,7,3,1] => [1,2,2,1,1,1]
[6,2,4,5,8,7,3,1] => [1,4,1,1,1]
[8,2,6,7,4,5,3,1] => [1,3,2,1,1]
[8,6,7,2,4,5,3,1] => [1,2,3,1,1]
[6,4,5,2,8,7,3,1] => [1,2,2,1,1,1]
[4,2,3,6,8,7,5,1] => [1,4,1,1,1]
[6,4,5,8,7,2,3,1] => [1,3,1,2,1]
[8,6,7,4,2,5,3,1] => [1,2,1,2,1,1]
[8,4,6,7,2,5,3,1] => [1,3,2,1,1]
[6,4,8,7,2,5,3,1] => [1,2,1,2,1,1]
[6,2,8,7,4,5,3,1] => [1,2,1,2,1,1]
[6,4,8,7,5,2,3,1] => [1,2,1,1,2,1]
[4,6,8,7,5,2,3,1] => [3,1,1,2,1]
[4,6,5,8,7,2,3,1] => [2,2,1,2,1]
[2,1,6,8,7,4,5,3] => [1,3,1,2,1]
[2,6,8,7,4,5,3,1] => [3,1,2,1,1]
[2,4,8,6,7,5,3,1] => [3,2,1,1,1]
[4,2,8,6,7,5,3,1] => [1,2,2,1,1,1]
[6,2,8,4,7,5,3,1] => [1,2,2,1,1,1]
[8,2,6,4,7,5,3,1] => [1,2,2,1,1,1]
[6,4,8,2,7,5,3,1] => [1,2,2,1,1,1]
[4,6,8,2,7,5,3,1] => [3,2,1,1,1]
[2,6,8,4,7,5,3,1] => [3,2,1,1,1]
[4,6,8,7,2,5,3,1] => [3,1,2,1,1]
[4,6,5,8,2,7,3,1] => [2,2,2,1,1]
[2,1,6,8,4,7,5,3] => [1,3,2,1,1]
[2,1,8,6,4,7,5,3] => [1,2,1,2,1,1]
[6,8,7,4,2,5,3,1] => [2,1,1,2,1,1]
[2,8,6,4,7,5,3,1] => [2,1,2,1,1,1]
[4,8,6,2,7,5,3,1] => [2,1,2,1,1,1]
[4,2,5,6,3,8,1,7] => [1,3,2,2]
[6,2,5,7,4,8,3,1] => [1,3,2,1,1]
[8,5,2,1,4,7,6,3] => [1,1,1,3,1,1]
[6,7,3,2,5,8,4,1] => [2,1,3,1,1]
[3,2,6,4,8,1,5,7] => [1,2,2,3]
[2,3,6,4,7,8,5,1] => [3,3,1,1]
[7,5,1,8,3,4,6,2] => [1,1,2,3,1]
[5,7,8,2,6,3,4,1] => [3,2,2,1]
[7,1,6,3,5,8,4,2] => [1,2,3,1,1]
[6,3,1,7,8,4,5,2] => [1,1,3,2,1]
[5,3,6,7,4,1,8,2] => [1,3,1,2,1]
[7,3,1,2,5,8,6,4] => [1,1,4,1,1]
[1,6,3,5,2,4,8,7] => [2,2,3,1]
[3,4,8,2,7,5,1,6] => [3,2,1,2]
[6,3,2,8,5,7,4,1] => [1,1,2,2,1,1]
[3,8,4,7,2,5,6,1] => [2,2,3,1]
[2,4,8,1,5,3,7,6] => [3,2,2,1]
[3,4,8,1,6,2,7,5] => [3,2,2,1]
[1,8,4,6,7,3,5,2] => [2,3,2,1]
[8,1,6,3,4,5,7,2] => [1,2,4,1]
[7,6,5,4,1,2,8,3] => [1,1,1,1,3,1]
[5,7,6,8,3,4,2,1] => [2,2,2,1,1]
[2,8,1,6,5,7,4,3] => [2,2,2,1,1]
[4,6,8,2,5,3,7,1] => [3,2,2,1]
[5,2,3,7,6,1,8,4] => [1,3,1,2,1]
[8,1,2,4,6,7,3,5] => [1,5,2]
[5,2,3,7,4,8,6,1] => [1,3,2,1,1]
[5,2,6,8,4,3,1,7] => [1,3,1,1,2]
[7,8,1,5,4,3,6,2] => [2,2,1,2,1]
[7,2,4,8,5,3,6,1] => [1,3,1,2,1]
[3,7,5,1,8,4,6,2] => [2,1,2,2,1]
[2,7,8,5,4,6,1,3] => [3,1,2,2]
[5,7,4,3,8,6,2,1] => [2,1,2,1,1,1]
[4,8,1,6,3,5,2,7] => [2,2,2,2]
[8,3,1,7,4,2,5,6] => [1,1,2,1,3]
[3,1,8,2,4,5,7,6] => [1,2,4,1]
[8,1,3,7,6,2,4,5] => [1,3,1,3]
[2,3,6,8,7,1,4,5] => [4,1,3]
[4,3,2,8,5,7,1,6] => [1,1,2,2,2]
[3,6,4,2,8,5,7,1] => [2,1,2,2,1]
[4,7,3,2,5,1,8,6] => [2,1,2,2,1]
[3,2,4,7,5,8,6,1] => [1,3,2,1,1]
[4,2,3,8,6,5,1,7] => [1,3,1,1,2]
[2,4,3,5,1,8,6,7] => [2,2,2,2]
[3,2,8,1,4,6,5,7] => [1,2,3,2]
[3,7,8,5,6,1,2,4] => [3,2,3]
[3,6,1,8,4,7,2,5] => [2,2,2,2]
[3,1,6,8,4,7,2,5] => [1,3,2,2]
[4,1,6,8,3,2,7,5] => [1,3,1,2,1]
[4,6,1,8,3,2,7,5] => [2,2,1,2,1]
[4,7,8,1,3,2,6,5] => [3,2,2,1]
[4,7,8,3,1,2,6,5] => [3,1,3,1]
[2,7,8,3,4,6,5,1] => [3,3,1,1]
[4,7,8,2,1,3,6,5] => [3,1,3,1]
[4,6,1,8,2,3,7,5] => [2,2,3,1]
[4,1,6,8,2,3,7,5] => [1,3,3,1]
[4,5,1,2,8,3,7,6] => [2,3,2,1]
[4,5,2,1,8,3,7,6] => [2,1,2,2,1]
[4,6,2,8,1,3,7,5] => [2,2,3,1]
[3,6,2,8,4,7,1,5] => [2,2,2,2]
[2,3,6,8,4,7,5,1] => [4,2,1,1]
[3,2,6,8,4,7,1,5] => [1,3,2,2]
[4,2,6,8,3,1,7,5] => [1,3,1,2,1]
[4,2,5,1,8,3,7,6] => [1,2,2,2,1]
[4,1,2,5,8,3,7,6] => [1,4,2,1]
[5,1,2,4,3,8,7,6] => [1,3,2,1,1]
[5,2,4,1,3,8,7,6] => [1,2,3,1,1]
[4,2,5,3,8,1,7,6] => [1,2,2,2,1]
[3,2,5,4,8,7,1,6] => [1,2,2,1,2]
[3,5,2,4,8,7,1,6] => [2,3,1,2]
[5,4,2,1,3,8,7,6] => [1,1,1,3,1,1]
[5,1,4,2,3,8,7,6] => [1,2,3,1,1]
[5,4,1,3,2,8,7,6] => [1,1,2,2,1,1]
[5,4,3,1,2,8,7,6] => [1,1,1,3,1,1]
[4,5,3,1,8,2,7,6] => [2,1,2,2,1]
[4,5,1,3,8,2,7,6] => [2,3,2,1]
[3,1,5,4,8,7,2,6] => [1,2,2,1,2]
[3,5,1,4,8,7,2,6] => [2,3,1,2]
[3,5,4,1,8,7,2,6] => [2,1,2,1,2]
[3,6,5,8,7,1,2,4] => [2,2,1,3]
[2,5,6,8,7,3,4,1] => [4,1,2,1]
[3,4,5,1,8,7,2,6] => [3,2,1,2]
[3,4,1,5,8,7,2,6] => [2,3,1,2]
[4,1,3,5,8,2,7,6] => [1,4,2,1]
[4,3,6,8,2,1,7,5] => [1,3,1,2,1]
[2,4,6,8,3,7,5,1] => [4,2,1,1]
[3,4,5,2,8,7,1,6] => [3,2,1,2]
[5,3,1,4,2,8,7,6] => [1,1,2,2,1,1]
[5,1,3,4,2,8,7,6] => [1,3,2,1,1]
[5,1,3,2,4,8,7,6] => [1,2,3,1,1]
[5,3,2,1,4,8,7,6] => [1,1,1,3,1,1]
[4,3,2,5,8,1,7,6] => [1,1,3,2,1]
[3,4,2,5,8,7,1,6] => [2,3,1,2]
[3,2,4,5,8,7,1,6] => [1,4,1,2]
[4,2,3,5,8,1,7,6] => [1,4,2,1]
[5,2,3,1,4,8,7,6] => [1,2,3,1,1]
[5,2,1,3,4,8,7,6] => [1,1,4,1,1]
[5,1,2,3,4,8,7,6] => [1,5,1,1]
[8,6,2,5,4,1,3,7] => [1,1,2,1,3]
[6,5,7,4,2,8,3,1] => [1,2,1,2,1,1]
[6,7,5,3,8,2,4,1] => [2,1,2,2,1]
[8,2,1,6,3,4,5,7] => [1,1,2,4]
[8,3,5,6,2,4,1,7] => [1,3,2,2]
[8,6,2,1,3,5,4,7] => [1,1,1,3,2]
[8,1,2,3,4,6,5,7] => [1,5,2]
[6,2,3,7,8,4,5,1] => [1,4,2,1]
[7,5,8,2,6,3,4,1] => [1,2,2,2,1]
[7,3,1,6,5,8,4,2] => [1,1,2,2,1,1]
[1,5,6,7,3,4,8,2] => [4,3,1]
[6,7,8,2,1,4,5,3] => [3,1,3,1]
[8,4,7,6,2,1,3,5] => [1,2,1,1,3]
[5,3,8,4,7,2,6,1] => [1,2,2,2,1]
[8,1,3,7,6,4,2,5] => [1,3,1,1,2]
[5,3,1,7,8,6,2,4] => [1,1,3,1,2]
[3,5,8,2,7,1,6,4] => [3,2,2,1]
[6,2,8,5,3,1,7,4] => [1,2,1,1,2,1]
[8,2,6,4,7,1,3,5] => [1,2,2,3]
[3,4,2,8,5,1,7,6] => [2,2,1,2,1]
[3,8,6,5,2,1,7,4] => [2,1,1,1,2,1]
[8,3,7,4,2,5,6,1] => [1,2,1,3,1]
[4,8,5,7,2,1,3,6] => [2,2,1,3]
[3,4,1,8,2,6,7,5] => [2,2,3,1]
[8,4,6,3,7,1,5,2] => [1,2,2,2,1]
[6,8,3,4,1,5,7,2] => [2,2,3,1]
[5,1,7,6,2,8,4,3] => [1,2,1,2,1,1]
[6,8,2,5,7,4,1,3] => [2,3,1,2]
[2,8,5,6,7,1,3,4] => [2,3,3]
[2,5,7,6,3,1,8,4] => [3,1,1,2,1]
[4,2,8,3,1,5,6,7] => [1,2,1,4]
[2,5,7,3,8,4,6,1] => [3,2,2,1]
[4,2,7,1,8,5,3,6] => [1,2,2,1,2]
[4,2,1,8,7,5,6,3] => [1,1,2,1,2,1]
[8,3,6,7,1,5,4,2] => [1,3,2,1,1]
[1,3,7,5,8,6,4,2] => [3,2,1,1,1]
[5,7,8,4,3,1,6,2] => [3,1,1,2,1]
[2,7,4,5,8,3,6,1] => [2,3,2,1]
[3,5,7,1,4,8,6,2] => [3,3,1,1]
[7,2,8,5,1,4,6,3] => [1,2,1,3,1]
[1,6,5,3,8,4,2,7] => [2,1,2,1,2]
[5,7,4,8,3,6,2,1] => [2,2,2,1,1]
[4,8,6,1,3,5,2,7] => [2,1,3,2]
[1,8,3,2,4,7,5,6] => [2,1,3,2]
[8,4,3,2,5,7,1,6] => [1,1,1,3,2]
[3,6,4,8,2,5,7,1] => [2,2,3,1]
[4,3,7,2,5,8,1,6] => [1,2,3,2]
[3,2,4,7,8,5,6,1] => [1,4,2,1]
[2,6,4,3,8,5,1,7] => [2,1,2,1,2]
[3,8,2,1,6,4,5,7] => [2,1,2,3]
[8,2,1,3,4,5,7,6] => [1,1,5,1]
[4,6,8,3,2,1,5,7] => [3,1,1,3]
[3,2,6,8,5,4,1,7] => [1,3,1,1,2]
[7,3,8,2,5,4,1,6] => [1,2,2,1,2]
[4,2,5,3,8,7,6,1] => [1,2,2,1,1,1]
[4,8,2,6,5,3,1,7] => [2,2,1,1,2]
[2,6,8,5,4,1,3,7] => [3,1,1,3]
[3,1,8,6,5,4,2,7] => [1,2,1,1,1,2]
[5,4,8,7,3,2,6,1] => [1,2,1,1,2,1]
[6,4,8,3,7,2,5,1] => [1,2,2,2,1]
[4,7,3,6,2,1,8,5] => [2,2,1,2,1]
[5,4,3,7,1,8,2,6] => [1,1,2,2,2]
[7,3,8,5,1,4,2,6] => [1,2,1,2,2]
[5,4,8,7,6,2,1,3] => [1,2,1,1,1,2]
[3,8,1,5,7,4,6,2] => [2,3,2,1]
[4,8,5,7,3,1,6,2] => [2,2,1,2,1]
[1,5,4,8,3,7,6,2] => [2,2,2,1,1]
[4,8,3,6,7,1,5,2] => [2,3,2,1]
[4,7,8,3,1,6,5,2] => [3,1,2,1,1]
[8,7,5,3,6,4,2,1] => [1,1,1,2,1,1,1]
[4,6,1,3,8,7,5,2] => [2,3,1,1,1]
[6,8,2,1,7,4,5,3] => [2,1,2,2,1]
[3,7,1,6,4,2,8,5] => [2,2,1,2,1]
[3,1,2,7,5,6,8,4] => [1,3,3,1]
[3,6,1,2,7,5,8,4] => [2,3,2,1]
[3,7,6,2,5,8,1,4] => [2,1,3,2]
[3,6,2,5,8,7,4,1] => [2,3,1,1,1]
[8,5,2,3,6,7,4,1] => [1,1,4,1,1]
[4,7,2,6,3,8,1,5] => [2,2,2,2]
[6,3,2,4,8,7,5,1] => [1,1,3,1,1,1]
[3,7,2,4,6,1,8,5] => [2,3,2,1]
[5,3,7,2,8,1,4,6] => [1,2,2,3]
[6,3,2,8,7,5,1,4] => [1,1,2,1,1,2]
[7,3,8,2,6,5,1,4] => [1,2,2,1,2]
[6,4,8,7,2,5,1,3] => [1,2,1,2,2]
[2,5,4,8,1,7,6,3] => [2,2,2,1,1]
[5,2,8,1,7,6,3,4] => [1,2,2,1,2]
[6,2,1,3,8,7,5,4] => [1,1,3,1,1,1]
[3,6,1,8,7,5,2,4] => [2,2,1,1,2]
[5,6,1,2,8,7,4,3] => [2,3,1,1,1]
[7,5,2,8,1,6,4,3] => [1,1,2,2,1,1]
[2,7,6,8,1,5,4,3] => [2,2,2,1,1]
[7,8,5,1,6,2,4,3] => [2,1,2,2,1]
[7,4,8,6,1,2,5,3] => [1,2,1,3,1]
[7,2,1,8,3,6,5,4] => [1,1,2,2,1,1]
[5,8,7,1,6,4,3,2] => [2,1,2,1,1,1]
[8,5,4,3,7,2,1,6] => [1,1,1,2,1,2]
[6,5,4,8,3,2,7,1] => [1,1,2,1,2,1]
[7,6,4,3,2,8,5,1] => [1,1,1,1,2,1,1]
[7,3,1,4,8,2,5,6] => [1,1,3,3]
[7,4,1,2,5,8,3,6] => [1,1,4,2]
[6,7,4,2,5,1,3,8] => [2,1,2,3]
[5,7,2,4,6,8,1,3] => [2,4,2]
[4,7,5,1,6,2,8,3] => [2,1,2,2,1]
[5,7,4,6,3,1,8,2] => [2,2,1,2,1]
[7,5,1,4,3,2,8,6] => [1,1,2,1,2,1]
[8,6,4,2,3,7,5,1] => [1,1,1,3,1,1]
[6,4,7,1,3,8,5,2] => [1,2,3,1,1]
[5,4,2,7,3,1,6,8] => [1,1,2,1,3]
[4,5,1,2,7,6,8,3] => [2,3,2,1]
[5,4,6,8,3,1,2,7] => [1,3,1,3]
[6,4,8,1,3,7,2,5] => [1,2,3,2]
[4,6,1,3,8,5,2,7] => [2,3,1,2]
[1,3,8,4,5,7,2,6] => [3,3,2]
[2,6,7,4,5,3,1,8] => [3,2,1,2]
[2,6,8,4,3,5,1,7] => [3,1,2,2]
[1,3,7,4,2,8,5,6] => [3,1,2,2]
[4,6,1,3,7,2,5,8] => [2,3,3]
[7,5,8,6,2,1,3,4] => [1,2,1,1,3]
[2,8,1,3,6,5,4,7] => [2,3,1,2]
[2,8,7,3,5,4,1,6] => [2,1,2,1,2]
[3,4,2,6,8,7,1,5] => [2,3,1,2]
[7,4,2,3,6,1,8,5] => [1,1,3,2,1]
[8,4,2,3,6,5,7,1] => [1,1,3,2,1]
[7,3,8,4,1,2,6,5] => [1,2,1,3,1]
[6,8,3,2,7,1,5,4] => [2,1,2,2,1]
[2,8,5,6,3,7,1,4] => [2,2,2,2]
[7,4,2,5,8,1,6,3] => [1,1,3,2,1]
[2,7,8,3,4,5,1,6] => [3,3,2]
[3,7,1,2,4,6,5,8] => [2,4,2]
[7,5,6,8,2,1,4,3] => [1,3,1,2,1]
[3,1,6,5,2,7,4,8] => [1,2,1,2,2]
[2,8,6,5,3,4,1,7] => [2,1,1,2,2]
[1,7,2,3,5,6,8,4] => [2,5,1]
[3,7,4,2,1,5,6,8] => [2,1,1,4]
[3,4,6,2,8,5,7,1] => [3,2,2,1]
[4,2,1,7,5,8,3,6] => [1,1,2,2,2]
[4,7,2,6,5,1,3,8] => [2,2,1,3]
[3,7,4,1,2,5,8,6] => [2,1,4,1]
[4,7,1,6,5,2,8,3] => [2,2,1,2,1]
[4,7,3,6,5,1,8,2] => [2,2,1,2,1]
[4,3,7,1,6,8,5,2] => [1,2,3,1,1]
[4,2,1,7,5,6,8,3] => [1,1,2,3,1]
[3,2,4,8,6,7,1,5] => [1,3,2,2]
[4,2,6,8,7,3,1,5] => [1,3,1,1,2]
[3,4,6,1,8,5,2,7] => [3,2,1,2]
[4,1,6,7,5,8,2,3] => [1,3,2,2]
[4,3,6,7,5,1,2,8] => [1,3,1,3]
[4,3,7,1,6,8,2,5] => [1,2,3,2]
[4,3,7,5,6,8,2,1] => [1,2,3,1,1]
[4,1,7,3,6,5,2,8] => [1,2,2,1,2]
[2,8,7,4,5,3,1,6] => [2,1,2,1,2]
[2,8,7,4,3,5,1,6] => [2,1,1,2,2]
[3,8,1,4,2,6,5,7] => [2,2,2,2]
[4,1,7,3,6,2,5,8] => [1,2,2,3]
[5,8,7,6,1,2,4,3] => [2,1,1,3,1]
[5,8,7,6,2,1,3,4] => [2,1,1,1,3]
[4,1,7,2,6,8,5,3] => [1,2,3,1,1]
[4,2,7,3,6,1,8,5] => [1,2,2,2,1]
[4,2,7,3,6,5,8,1] => [1,2,2,2,1]
[3,8,2,4,5,6,7,1] => [2,5,1]
[3,8,2,4,1,6,7,5] => [2,2,3,1]
[3,8,5,6,2,4,1,7] => [2,2,2,2]
[2,8,6,5,3,7,1,4] => [2,1,1,2,2]
[3,8,6,5,1,4,7,2] => [2,1,1,3,1]
[3,8,2,1,4,6,7,5] => [2,1,4,1]
[3,8,2,5,4,6,7,1] => [2,2,3,1]
[4,2,7,5,6,3,8,1] => [1,2,2,2,1]
[4,2,7,5,6,1,8,3] => [1,2,2,2,1]
[4,2,6,7,5,3,1,8] => [1,3,1,1,2]
[3,2,6,1,4,5,8,7] => [1,2,4,1]
[2,8,7,3,4,5,1,6] => [2,1,3,2]
[3,8,1,2,4,6,5,7] => [2,4,2]
[5,8,7,6,1,3,4,2] => [2,1,1,3,1]
[5,8,7,6,2,3,4,1] => [2,1,1,3,1]
[4,1,7,5,6,2,3,8] => [1,2,2,3]
[3,8,1,5,2,6,4,7] => [2,2,2,2]
[2,8,7,5,3,4,1,6] => [2,1,1,2,2]
[2,8,7,5,4,3,1,6] => [2,1,1,1,1,2]
[4,1,7,5,6,3,2,8] => [1,2,2,1,2]
[5,8,7,6,1,3,2,4] => [2,1,1,2,2]
[5,8,7,6,4,1,2,3] => [2,1,1,1,3]
[5,4,2,3,7,6,8,1] => [1,1,3,2,1]
[7,4,3,5,2,8,1,6] => [1,1,2,2,2]
[8,4,3,7,5,1,6,2] => [1,1,2,1,2,1]
[8,4,7,2,5,1,6,3] => [1,2,2,2,1]
[7,4,6,2,3,5,8,1] => [1,2,4,1]
[5,1,7,2,4,6,8,3] => [1,2,4,1]
[4,5,7,1,2,6,8,3] => [3,4,1]
[5,4,1,7,3,6,8,2] => [1,1,2,3,1]
[3,6,4,7,5,2,8,1] => [2,2,1,2,1]
[3,4,7,6,2,5,8,1] => [3,1,3,1]
[4,7,5,6,1,3,8,2] => [2,2,3,1]
[5,7,6,4,3,1,8,2] => [2,1,1,1,2,1]
[5,7,6,3,1,4,8,2] => [2,1,1,3,1]
[7,5,2,3,4,8,1,6] => [1,1,4,2]
[8,7,5,3,4,1,6,2] => [1,1,1,2,2,1]
[6,7,1,3,8,4,2,5] => [2,3,1,2]
[7,6,1,3,4,8,5,2] => [1,1,4,1,1]
[3,6,5,2,7,8,1,4] => [2,1,3,2]
[3,2,8,6,7,1,4,5] => [1,2,2,3]
[4,8,3,6,5,2,1,7] => [2,2,1,1,2]
[1,8,6,5,4,2,3,7] => [2,1,1,1,3]
[1,8,7,2,3,5,4,6] => [2,1,3,2]
[1,8,7,2,5,3,4,6] => [2,1,2,3]
[3,6,8,5,1,2,4,7] => [3,1,4]
[3,7,5,1,8,2,6,4] => [2,1,2,2,1]
[7,1,2,8,3,5,6,4] => [1,3,3,1]
[6,1,7,8,2,5,3,4] => [1,3,2,2]
[6,7,5,2,8,1,4,3] => [2,1,2,2,1]
[7,1,4,5,8,6,2,3] => [1,4,1,2]
[5,7,6,4,2,8,1,3] => [2,1,1,2,2]
[7,5,6,1,2,8,4,3] => [1,2,3,1,1]
[4,1,3,7,8,6,2,5] => [1,4,1,2]
[5,1,4,3,6,8,7,2] => [1,2,3,1,1]
[4,5,7,6,8,2,1,3] => [3,2,1,2]
[5,7,6,8,4,2,1,3] => [2,2,1,1,2]
[5,1,6,8,4,2,7,3] => [1,3,1,2,1]
[7,4,8,2,3,6,5,1] => [1,2,3,1,1]
[5,6,8,4,7,3,2,1] => [3,2,1,1,1]
[6,4,7,8,5,2,1,3] => [1,3,1,1,2]
[3,6,4,8,5,1,2,7] => [2,2,1,3]
[3,7,4,8,1,2,5,6] => [2,2,4]
[7,4,3,8,2,6,5,1] => [1,1,2,2,1,1]
[7,6,8,3,2,5,4,1] => [1,2,1,2,1,1]
[8,7,1,3,5,4,6,2] => [1,1,3,2,1]
[7,1,8,3,4,2,6,5] => [1,2,2,2,1]
[7,6,8,3,1,4,5,2] => [1,2,1,3,1]
[3,1,4,8,2,5,7,6] => [1,3,3,1]
[4,8,5,2,1,3,6,7] => [2,1,1,4]
[5,8,2,6,3,1,4,7] => [2,2,1,3]
[6,8,2,3,7,4,1,5] => [2,3,1,2]
[7,8,2,3,4,6,5,1] => [2,4,1,1]
[8,1,7,2,4,5,3,6] => [1,2,3,2]
[8,1,3,6,2,5,4,7] => [1,3,2,2]
[7,2,1,6,3,5,4,8] => [1,1,2,2,2]
[2,7,1,6,3,5,4,8] => [2,2,2,2]
[2,7,1,5,4,3,6,8] => [2,2,1,3]
[7,2,1,5,4,3,6,8] => [1,1,2,1,3]
[8,1,3,5,4,2,6,7] => [1,3,1,3]
[8,1,5,3,4,2,6,7] => [1,2,2,3]
[8,1,5,6,2,3,7,4] => [1,3,3,1]
[8,1,4,5,3,2,6,7] => [1,3,1,3]
[8,1,4,3,5,2,6,7] => [1,2,2,3]
[7,2,1,4,5,3,6,8] => [1,1,3,3]
[2,7,1,4,5,3,6,8] => [2,3,3]
[2,6,3,1,5,4,7,8] => [2,1,2,3]
[6,3,2,1,5,4,7,8] => [1,1,1,2,3]
[7,3,1,4,5,2,6,8] => [1,1,3,3]
[7,3,1,5,4,2,6,8] => [1,1,2,1,3]
[7,3,1,6,2,5,4,8] => [1,1,2,2,2]
[3,7,1,6,2,5,4,8] => [2,2,2,2]
[3,7,1,4,5,2,6,8] => [2,3,3]
[3,6,2,1,5,4,7,8] => [2,1,2,3]
[2,3,6,1,5,4,7,8] => [3,2,3]
[3,5,2,4,1,6,7,8] => [2,2,4]
[6,3,4,1,5,2,7,8] => [1,2,2,3]
[6,2,4,1,5,3,7,8] => [1,2,2,3]
[2,6,4,1,5,3,7,8] => [2,1,2,3]
[2,6,5,1,3,7,4,8] => [2,1,3,2]
[6,2,5,1,3,7,4,8] => [1,2,3,2]
[6,5,2,1,3,7,4,8] => [1,1,1,3,2]
[7,6,1,2,4,5,3,8] => [1,1,4,2]
[6,7,1,2,8,3,5,4] => [2,3,2,1]
[6,7,1,2,5,4,3,8] => [2,3,1,2]
[5,6,2,1,3,7,4,8] => [2,1,3,2]
[5,2,6,1,3,7,4,8] => [1,2,3,2]
[2,4,6,1,5,3,7,8] => [3,2,3]
[4,7,1,3,5,2,6,8] => [2,3,3]
[4,7,1,5,3,2,6,8] => [2,2,1,3]
[5,7,1,4,2,6,3,8] => [2,2,2,2]
[5,7,1,6,2,3,8,4] => [2,2,3,1]
[5,6,3,1,2,7,4,8] => [2,1,3,2]
[4,2,5,3,1,6,7,8] => [1,2,1,4]
[5,3,6,1,2,7,4,8] => [1,2,3,2]
[3,4,6,1,5,2,7,8] => [3,2,3]
[6,5,1,8,7,3,4,2] => [1,1,2,1,2,1]
[8,2,7,5,4,1,3,6] => [1,2,1,1,3]
[6,8,5,2,3,4,1,7] => [2,1,3,2]
[2,6,8,7,1,5,3,4] => [3,1,2,2]
[8,5,6,2,7,1,4,3] => [1,2,2,2,1]
[6,5,1,2,7,8,4,3] => [1,1,4,1,1]
[4,7,6,1,5,3,8,2] => [2,1,2,2,1]
[5,7,6,4,1,3,8,2] => [2,1,1,3,1]
[7,6,2,4,5,3,8,1] => [1,1,3,2,1]
[6,1,7,5,3,8,4,2] => [1,2,1,2,1,1]
[8,6,7,5,3,1,4,2] => [1,2,1,1,2,1]
[8,5,2,7,1,6,4,3] => [1,1,2,2,1,1]
[7,6,1,5,3,8,4,2] => [1,1,2,2,1,1]
[5,6,2,4,7,8,1,3] => [2,4,2]
[3,4,6,1,7,8,5,2] => [3,3,1,1]
[3,4,8,6,7,1,5,2] => [3,2,2,1]
[4,8,5,6,7,2,3,1] => [2,3,2,1]
[5,8,6,4,1,2,7,3] => [2,1,1,3,1]
[5,8,6,1,7,2,4,3] => [2,1,2,2,1]
[5,8,7,3,2,6,4,1] => [2,1,1,2,1,1]
[5,8,1,7,2,6,4,3] => [2,2,2,1,1]
[8,1,5,7,2,6,4,3] => [1,3,2,1,1]
[8,1,7,2,5,6,3,4] => [1,2,3,2]
[6,8,7,2,5,1,3,4] => [2,1,2,3]
[5,8,7,2,1,6,3,4] => [2,1,1,2,2]
[4,8,1,5,2,6,7,3] => [2,2,3,1]
[3,7,8,5,1,6,2,4] => [3,1,2,2]
[6,5,2,7,8,1,4,3] => [1,1,3,2,1]
[7,1,2,8,5,6,3,4] => [1,3,2,2]
[8,7,2,1,5,6,3,4] => [1,1,1,3,2]
[8,6,7,1,5,2,3,4] => [1,2,2,3]
[6,1,7,8,5,2,3,4] => [1,3,1,3]
[7,5,6,2,1,8,4,3] => [1,2,1,2,1,1]
[8,7,5,2,1,6,4,3] => [1,1,1,1,2,1,1]
[7,1,3,5,8,6,2,4] => [1,4,1,2]
[5,1,3,4,6,8,7,2] => [1,5,1,1]
[4,5,3,6,8,2,7,1] => [2,3,2,1]
[5,6,3,4,8,1,7,2] => [2,3,2,1]
[4,6,7,8,5,1,3,2] => [4,1,2,1]
[8,4,3,1,2,6,7,5] => [1,1,1,4,1]
[8,5,1,6,3,4,7,2] => [1,1,2,3,1]
[5,1,8,6,3,4,7,2] => [1,2,1,3,1]
[4,6,8,1,5,3,7,2] => [3,2,2,1]
[6,4,5,8,3,2,7,1] => [1,3,1,2,1]
[3,6,4,8,7,1,5,2] => [2,2,1,2,1]
[6,5,8,1,3,4,7,2] => [1,2,4,1]
[5,6,8,3,1,2,7,4] => [3,1,3,1]
[6,1,8,3,5,2,7,4] => [1,2,2,2,1]
[7,6,8,3,5,2,1,4] => [1,2,2,1,2]
[8,6,1,3,5,2,7,4] => [1,1,3,2,1]
[8,7,1,3,5,6,2,4] => [1,1,4,2]
[6,7,8,3,5,1,2,4] => [3,2,3]
[3,4,8,1,2,6,7,5] => [3,4,1]
[5,8,2,4,3,6,7,1] => [2,2,3,1]
[5,8,2,3,1,6,7,4] => [2,2,3,1]
[6,8,2,3,5,1,7,4] => [2,3,2,1]
[7,8,2,3,5,6,1,4] => [2,4,2]
[8,6,5,1,4,3,7,2] => [1,1,1,2,2,1]
[2,4,8,6,1,3,7,5] => [3,1,3,1]
[6,7,1,8,4,3,5,2] => [2,2,1,2,1]
[2,7,8,6,1,4,3,5] => [3,1,2,2]
[2,7,3,8,1,6,4,5] => [2,2,2,2]
[7,5,1,8,2,4,6,3] => [1,1,2,3,1]
[2,7,8,4,1,6,3,5] => [3,1,2,2]
[2,6,5,4,1,3,8,7] => [2,1,1,3,1]
[4,1,7,6,3,8,2,5] => [1,2,1,2,2]
[4,8,2,5,7,6,3,1] => [2,3,1,1,1]
[3,4,6,5,1,8,2,7] => [3,1,2,2]
[2,6,5,3,4,1,8,7] => [2,1,2,2,1]
[4,6,1,5,2,3,8,7] => [2,2,3,1]
[6,2,3,5,1,4,8,7] => [1,3,3,1]
[2,6,7,5,1,8,4,3] => [3,1,2,1,1]
[8,6,1,2,5,3,4,7] => [1,1,3,3]
[6,2,5,1,8,3,4,7] => [1,2,2,3]
[7,6,5,2,8,3,4,1] => [1,1,1,2,2,1]
[2,6,3,5,1,8,7,4] => [2,2,2,1,1]
[2,4,7,6,5,8,1,3] => [3,1,2,2]
[2,1,4,8,7,6,3,5] => [1,3,1,1,2]
[7,4,6,8,5,3,2,1] => [1,3,1,1,1,1]
[8,1,3,5,7,4,6,2] => [1,4,2,1]
[3,2,8,7,5,1,6,4] => [1,2,1,1,2,1]
[4,8,5,1,6,7,2,3] => [2,1,3,2]
[3,8,5,1,6,7,2,4] => [2,1,3,2]
[7,8,6,1,3,5,2,4] => [2,1,3,2]
[5,6,7,2,8,1,3,4] => [3,2,3]
[2,5,1,8,6,7,4,3] => [2,2,2,1,1]
[3,5,1,8,6,7,4,2] => [2,2,2,1,1]
[5,2,3,8,6,7,4,1] => [1,3,2,1,1]
[8,3,5,4,6,7,1,2] => [1,2,3,2]
[5,1,3,8,6,7,4,2] => [1,3,2,1,1]
[3,2,5,8,6,7,4,1] => [1,3,2,1,1]
[6,2,1,5,3,8,7,4] => [1,1,2,2,1,1]
[5,6,3,2,8,1,4,7] => [2,1,2,3]
[8,1,6,3,5,2,7,4] => [1,2,2,2,1]
[8,7,6,2,5,3,1,4] => [1,1,1,2,1,2]
[4,7,6,8,3,2,5,1] => [2,2,1,2,1]
[2,7,5,8,1,3,4,6] => [2,2,4]
[7,6,2,8,5,1,4,3] => [1,1,2,1,2,1]
[8,1,3,7,5,2,6,4] => [1,3,1,2,1]
[3,4,8,7,5,1,6,2] => [3,1,1,2,1]
[6,3,8,1,4,2,5,7] => [1,2,2,3]
[6,3,8,5,7,4,1,2] => [1,2,2,1,2]
[7,4,6,8,5,1,3,2] => [1,3,1,2,1]
[2,1,4,8,7,5,6,3] => [1,3,1,2,1]
[7,1,5,8,2,6,4,3] => [1,3,2,1,1]
[3,6,8,2,4,1,7,5] => [3,2,2,1]
[4,5,8,2,6,7,3,1] => [3,3,1,1]
[5,2,8,1,6,7,3,4] => [1,2,3,2]
[2,5,8,4,6,7,3,1] => [3,3,1,1]
[5,8,3,4,6,7,2,1] => [2,4,1,1]
[8,4,3,2,6,7,1,5] => [1,1,1,3,2]
[4,2,8,1,6,7,3,5] => [1,2,3,2]
[2,4,8,1,6,7,3,5] => [3,3,2]
[5,1,8,2,6,7,3,4] => [1,2,3,2]
[3,4,8,7,2,1,5,6] => [3,1,1,3]
[7,8,5,3,6,4,2,1] => [2,1,2,1,1,1]
[2,8,5,7,4,1,3,6] => [2,2,1,3]
[5,8,4,1,6,7,2,3] => [2,1,3,2]
[3,8,1,4,6,7,2,5] => [2,4,2]
[8,2,3,4,6,7,1,5] => [1,5,2]
[6,2,7,3,8,4,1,5] => [1,2,2,1,2]
[7,4,3,2,8,5,1,6] => [1,1,1,2,1,2]
[5,3,2,8,4,6,1,7] => [1,1,2,2,2]
[8,4,2,6,5,3,1,7] => [1,1,2,1,1,2]
[7,4,2,5,3,1,6,8] => [1,1,2,1,3]
[8,3,6,2,5,4,1,7] => [1,2,2,1,2]
[5,4,8,3,2,6,1,7] => [1,2,1,2,2]
[3,5,8,2,4,6,1,7] => [3,3,2]
[6,4,7,8,2,3,1,5] => [1,3,2,2]
[4,8,6,2,5,3,1,7] => [2,1,2,1,2]
[1,6,4,3,2,8,7,5] => [2,1,1,2,1,1]
[1,5,3,2,8,4,7,6] => [2,1,2,2,1]
[5,7,4,3,1,2,6,8] => [2,1,1,4]
[2,8,7,3,5,1,4,6] => [2,1,2,3]
[7,3,8,6,4,1,2,5] => [1,2,1,1,3]
[6,1,2,7,3,8,5,4] => [1,3,2,1,1]
[2,1,7,4,3,8,6,5] => [1,2,1,2,1,1]
[5,1,3,2,8,7,4,6] => [1,2,2,1,2]
[1,8,4,2,7,6,5,3] => [2,1,2,1,1,1]
[1,8,3,7,2,6,5,4] => [2,2,2,1,1]
[5,1,4,8,3,7,2,6] => [1,3,2,2]
[2,1,6,8,5,4,7,3] => [1,3,1,2,1]
[6,1,5,7,8,2,4,3] => [1,4,2,1]
[8,3,1,6,7,2,5,4] => [1,1,3,2,1]
[7,4,8,6,1,3,2,5] => [1,2,1,2,2]
[3,7,6,1,5,2,4,8] => [2,1,2,3]
[1,5,4,8,3,2,7,6] => [2,2,1,2,1]
[7,3,6,1,2,5,4,8] => [1,2,3,2]
[5,4,7,1,3,2,6,8] => [1,2,2,3]
[4,6,8,2,5,1,3,7] => [3,2,3]
[1,2,6,3,8,5,7,4] => [3,2,2,1]
[1,5,2,6,8,4,7,3] => [2,3,2,1]
[5,7,2,3,8,1,4,6] => [2,3,3]
[6,4,7,5,8,1,2,3] => [1,2,2,3]
[7,4,8,5,1,6,3,2] => [1,2,1,2,1,1]
[5,8,3,6,1,7,4,2] => [2,2,2,1,1]
[8,6,4,2,1,7,5,3] => [1,1,1,1,2,1,1]
[7,4,2,1,5,8,6,3] => [1,1,1,3,1,1]
[7,6,4,1,8,5,2,3] => [1,1,1,2,1,2]
[1,6,4,8,7,5,3,2] => [2,2,1,1,1,1]
[6,3,1,2,8,4,7,5] => [1,1,3,2,1]
[7,5,1,3,2,8,6,4] => [1,1,2,2,1,1]
[4,7,1,2,5,8,6,3] => [2,4,1,1]
[6,8,4,1,2,7,5,3] => [2,1,3,1,1]
[7,4,8,1,6,3,5,2] => [1,2,2,2,1]
[5,8,2,1,7,3,6,4] => [2,1,2,2,1]
[3,6,1,8,2,4,7,5] => [2,2,3,1]
[1,3,8,7,6,2,5,4] => [3,1,1,2,1]
[5,4,1,8,7,3,2,6] => [1,1,2,1,1,2]
[3,5,1,8,7,2,4,6] => [2,2,1,3]
[4,6,1,8,3,7,2,5] => [2,2,2,2]
[4,7,1,2,8,6,3,5] => [2,3,1,2]
[5,8,4,1,7,6,2,3] => [2,1,2,1,2]
[7,6,8,1,5,4,2,3] => [1,2,2,1,2]
[8,6,1,7,5,4,3,2] => [1,1,2,1,1,1,1]
[7,1,5,8,6,4,3,2] => [1,3,1,1,1,1]
[5,1,8,7,3,6,4,2] => [1,2,1,2,1,1]
[4,1,8,7,6,2,5,3] => [1,2,1,1,2,1]
[3,1,8,7,6,5,2,4] => [1,2,1,1,1,2]
[1,6,4,5,2,3,7,8] => [2,2,4]
[1,7,4,5,2,3,6,8] => [2,2,4]
[1,7,3,5,2,4,6,8] => [2,2,4]
[1,6,3,5,2,4,7,8] => [2,2,4]
[1,6,3,4,2,5,7,8] => [2,2,4]
[1,7,3,4,2,5,6,8] => [2,2,4]
[1,8,6,7,3,4,2,5] => [2,2,2,2]
[1,8,5,7,3,4,2,6] => [2,2,2,2]
[1,7,3,4,2,6,5,8] => [2,2,2,2]
[1,5,2,8,4,7,3,6] => [2,2,2,2]
[1,4,2,8,5,7,3,6] => [2,2,2,2]
[1,7,3,5,2,6,4,8] => [2,2,2,2]
[1,8,4,7,3,5,2,6] => [2,2,2,2]
[1,7,3,6,2,5,4,8] => [2,2,2,2]
[1,7,3,6,2,4,5,8] => [2,2,4]
[1,7,4,6,2,3,5,8] => [2,2,4]
[1,8,5,6,2,3,4,7] => [2,2,4]
[1,8,5,6,2,4,3,7] => [2,2,2,2]
[1,3,2,8,5,6,4,7] => [2,2,2,2]
[1,4,2,8,5,6,3,7] => [2,2,2,2]
[1,5,2,8,4,6,3,7] => [2,2,2,2]
[1,6,2,8,4,5,3,7] => [2,2,2,2]
[8,1,2,4,5,3,6,7] => [1,4,3]
[8,6,4,7,2,1,3,5] => [1,1,2,1,3]
[1,6,4,7,2,8,3,5] => [2,2,2,2]
[8,4,6,2,3,5,1,7] => [1,2,3,2]
[5,4,8,2,3,6,1,7] => [1,2,3,2]
[3,8,6,2,4,5,1,7] => [2,1,3,2]
[4,8,6,2,3,5,1,7] => [2,1,3,2]
[1,7,6,4,8,2,3,5] => [2,1,2,3]
[5,8,7,4,1,2,3,6] => [2,1,1,4]
[6,8,5,3,4,1,2,7] => [2,1,2,3]
[6,8,3,7,2,1,4,5] => [2,2,1,3]
[8,5,1,6,3,7,2,4] => [1,1,2,2,2]
[6,1,3,7,4,8,2,5] => [1,3,2,2]
[4,1,7,3,5,8,2,6] => [1,2,3,2]
[7,1,6,4,8,2,3,5] => [1,2,2,3]
[1,8,5,7,2,3,4,6] => [2,2,4]
[6,1,5,8,2,3,4,7] => [1,3,4]
[5,1,7,3,8,2,4,6] => [1,2,2,3]
[6,1,5,7,8,2,3,4] => [1,4,3]
[7,4,8,6,1,2,3,5] => [1,2,1,4]
[3,8,7,5,1,2,4,6] => [2,1,1,4]
[3,7,6,1,2,4,5,8] => [2,1,5]
[4,7,6,1,2,3,5,8] => [2,1,5]
[1,6,5,8,2,3,4,7] => [2,2,4]
[6,5,8,4,1,2,3,7] => [1,2,1,4]
[8,5,7,4,1,2,3,6] => [1,2,1,4]
[1,5,7,4,8,2,3,6] => [3,2,3]
[7,6,4,8,2,1,3,5] => [1,1,2,1,3]
[7,6,2,3,8,1,4,5] => [1,1,3,3]
[7,4,8,5,1,6,2,3] => [1,2,1,2,2]
[8,6,2,3,1,7,4,5] => [1,1,2,2,2]
[8,6,4,1,2,7,3,5] => [1,1,1,3,2]
[1,7,2,8,6,3,4,5] => [2,2,1,3]
[7,6,1,3,8,2,4,5] => [1,1,3,3]
[7,5,8,1,3,6,2,4] => [1,2,3,2]
[5,4,1,8,2,3,6,7] => [1,1,2,4]
[1,4,8,7,2,3,5,6] => [3,1,4]
[1,5,8,7,2,3,4,6] => [3,1,4]
[6,5,1,8,2,3,4,7] => [1,1,2,4]
[5,7,1,3,8,2,4,6] => [2,3,3]
[7,6,8,1,5,2,3,4] => [1,2,2,3]
[7,1,5,8,6,2,3,4] => [1,3,1,3]
[6,1,8,2,7,3,4,5] => [1,2,2,3]
[4,1,8,7,2,3,5,6] => [1,2,1,4]
[5,1,8,7,2,3,4,6] => [1,2,1,4]
[1,8,7,6,4,5,3,2] => [2,1,1,2,1,1]
[1,8,7,3,6,5,4,2] => [2,1,2,1,1,1]
[7,1,5,8,3,4,2,6] => [1,3,2,2]
[7,1,4,3,2,5,6,8] => [1,2,1,4]
[6,4,2,3,8,5,7,1] => [1,1,3,2,1]
[6,4,2,7,5,8,3,1] => [1,1,2,2,1,1]
[2,4,1,7,5,8,3,6] => [2,2,2,2]
[7,1,4,6,5,2,3,8] => [1,3,1,3]
[7,1,4,6,5,8,2,3] => [1,3,2,2]
[7,1,4,6,3,8,2,5] => [1,3,2,2]
[7,1,4,3,2,5,8,6] => [1,2,1,3,1]
[7,1,4,6,5,2,8,3] => [1,3,1,2,1]
[7,1,4,6,5,3,8,2] => [1,3,1,2,1]
[7,1,4,6,5,3,2,8] => [1,3,1,1,2]
[6,4,2,7,5,3,8,1] => [1,1,2,1,2,1]
[3,4,7,2,6,8,5,1] => [3,3,1,1]
[3,4,7,1,6,8,2,5] => [3,3,2]
[3,4,7,1,6,8,5,2] => [3,3,1,1]
[2,4,1,7,5,3,6,8] => [2,2,1,3]
[3,4,1,7,8,6,2,5] => [2,3,1,2]
[6,4,2,3,8,5,1,7] => [1,1,3,1,2]
[6,4,2,7,5,8,1,3] => [1,1,2,2,2]
[6,4,2,7,5,3,1,8] => [1,1,2,1,1,2]
[3,4,7,2,6,8,1,5] => [3,3,2]
[5,4,7,3,6,8,2,1] => [1,2,3,1,1]
[3,4,7,2,6,5,1,8] => [3,2,1,2]
[4,8,3,2,5,6,1,7] => [2,1,3,2]
[4,8,7,3,5,1,2,6] => [2,1,2,3]
[4,8,7,1,3,5,2,6] => [2,1,3,2]
[4,8,3,1,2,6,5,7] => [2,1,3,2]
[3,4,7,1,6,2,5,8] => [3,2,3]
[3,4,7,1,6,2,8,5] => [3,2,2,1]
[3,4,7,2,6,5,8,1] => [3,2,2,1]
[4,8,3,1,2,6,7,5] => [2,1,4,1]
[5,8,1,6,3,4,2,7] => [2,2,2,2]
[6,8,5,1,3,7,2,4] => [2,1,3,2]
[6,8,5,1,3,4,7,2] => [2,1,4,1]
[5,8,3,4,2,6,7,1] => [2,2,3,1]
[5,4,7,3,6,2,8,1] => [1,2,2,2,1]
[5,4,7,2,6,1,8,3] => [1,2,2,2,1]
[6,4,3,7,5,1,2,8] => [1,1,2,1,3]
[6,4,3,7,5,1,8,2] => [1,1,2,1,2,1]
[6,2,4,3,1,5,8,7] => [1,2,1,3,1]
[3,8,7,4,1,5,2,6] => [2,1,1,2,2]
[2,4,7,3,6,1,5,8] => [3,2,3]
[5,8,3,2,1,6,4,7] => [2,1,1,2,2]
[5,8,7,4,3,1,2,6] => [2,1,1,1,3]
[5,4,7,3,6,2,1,8] => [1,2,2,1,2]
[7,3,8,2,1,6,5,4] => [1,2,1,2,1,1]
[7,4,3,8,5,2,1,6] => [1,1,2,1,1,2]
[6,5,2,8,4,3,1,7] => [1,1,2,1,1,2]
[4,3,2,8,6,5,1,7] => [1,1,2,1,1,2]
[4,3,8,7,5,1,6,2] => [1,2,1,1,2,1]
[3,2,5,8,6,1,4,7] => [1,3,1,3]
[8,4,3,7,5,2,6,1] => [1,1,2,1,2,1]
[4,3,7,8,5,1,2,6] => [1,3,1,3]
[5,3,7,8,4,1,2,6] => [1,3,1,3]
[6,2,5,8,3,1,4,7] => [1,3,1,3]
[6,2,4,8,3,1,5,7] => [1,3,1,3]
[5,2,3,8,4,1,6,7] => [1,3,1,3]
[5,3,8,7,4,1,6,2] => [1,2,1,1,2,1]
[5,3,2,8,6,4,1,7] => [1,1,2,1,1,2]
[7,5,3,8,4,2,1,6] => [1,1,2,1,1,2]
[8,7,5,3,6,2,4,1] => [1,1,1,2,2,1]
[8,6,5,3,7,2,4,1] => [1,1,1,2,2,1]
[7,5,4,3,8,2,6,1] => [1,1,1,2,2,1]
[6,4,5,3,8,2,7,1] => [1,2,2,2,1]
[7,4,6,3,8,2,5,1] => [1,2,2,2,1]
[7,5,6,3,8,2,4,1] => [1,2,2,2,1]
[8,5,6,3,7,2,4,1] => [1,2,2,2,1]
[7,4,6,3,5,2,8,1] => [1,2,2,2,1]
[8,4,6,3,5,2,7,1] => [1,2,2,2,1]
[8,4,7,3,5,2,6,1] => [1,2,2,2,1]
[8,5,7,3,4,2,6,1] => [1,2,2,2,1]
[7,5,8,4,3,2,6,1] => [1,2,1,1,2,1]
[6,5,8,4,3,2,7,1] => [1,2,1,1,2,1]
[6,5,8,3,4,2,7,1] => [1,2,2,2,1]
[7,5,8,3,4,2,6,1] => [1,2,2,2,1]
[7,5,8,4,6,2,3,1] => [1,2,2,2,1]
[7,4,8,3,6,2,5,1] => [1,2,2,2,1]
[7,4,8,3,5,2,6,1] => [1,2,2,2,1]
[6,4,8,3,5,2,7,1] => [1,2,2,2,1]
[6,4,7,3,5,2,8,1] => [1,2,2,2,1]
[5,4,8,3,7,2,6,1] => [1,2,2,2,1]
[6,5,8,3,7,2,4,1] => [1,2,2,2,1]
[6,5,8,4,7,2,3,1] => [1,2,2,2,1]
[6,5,8,4,7,3,2,1] => [1,2,2,1,1,1]
[6,4,7,3,8,2,5,1] => [1,2,2,2,1]
[5,4,7,3,8,2,6,1] => [1,2,2,2,1]
[5,4,6,3,8,2,7,1] => [1,2,2,2,1]
[5,3,6,2,4,7,8,1] => [1,2,4,1]
[5,3,6,1,4,8,7,2] => [1,2,3,1,1]
[5,3,7,2,4,6,8,1] => [1,2,4,1]
[4,3,1,5,6,8,7,2] => [1,1,4,1,1]
[4,2,1,5,8,6,3,7] => [1,1,3,1,2]
[4,2,1,5,8,6,7,3] => [1,1,3,2,1]
[4,2,1,5,8,7,6,3] => [1,1,3,1,1,1]
[4,3,1,5,7,8,6,2] => [1,1,4,1,1]
[4,3,1,7,5,8,6,2] => [1,1,2,2,1,1]
[6,7,3,1,4,8,2,5] => [2,1,3,2]
[5,3,7,1,4,8,2,6] => [1,2,3,2]
[4,3,1,5,7,8,2,6] => [1,1,4,2]
[3,2,1,8,5,4,6,7] => [1,1,2,1,3]
[3,2,1,8,5,7,4,6] => [1,1,2,2,2]
[3,2,1,8,7,5,4,6] => [1,1,2,1,1,2]
[5,2,7,1,8,4,3,6] => [1,2,2,1,2]
[6,7,2,1,8,4,3,5] => [2,1,2,1,2]
[6,7,2,1,8,4,5,3] => [2,1,2,2,1]
[3,2,1,8,5,6,4,7] => [1,1,2,2,2]
[3,2,1,8,6,5,4,7] => [1,1,2,1,1,2]
[4,3,1,6,7,8,5,2] => [1,1,4,1,1]
[4,2,1,6,8,7,5,3] => [1,1,3,1,1,1]
[4,2,1,6,8,5,7,3] => [1,1,3,2,1]
[4,2,1,6,8,5,3,7] => [1,1,3,1,2]
[5,2,6,1,8,4,3,7] => [1,2,2,1,2]
[5,2,6,1,8,7,4,3] => [1,2,2,1,1,1]
[5,2,6,1,8,7,3,4] => [1,2,2,1,2]
[5,2,6,1,8,3,4,7] => [1,2,2,3]
[4,2,1,6,8,3,7,5] => [1,1,3,2,1]
[4,3,1,6,7,8,2,5] => [1,1,4,2]
[6,7,3,1,5,8,2,4] => [2,1,3,2]
[4,2,1,7,8,6,3,5] => [1,1,3,1,2]
[3,2,1,8,7,6,4,5] => [1,1,2,1,1,2]
[3,2,1,8,6,4,7,5] => [1,1,2,1,2,1]
[3,2,1,8,6,4,5,7] => [1,1,2,1,3]
[3,2,1,8,4,6,5,7] => [1,1,2,2,2]
[3,2,1,8,4,6,7,5] => [1,1,2,3,1]
[3,2,1,8,4,7,6,5] => [1,1,2,2,1,1]
[3,2,1,8,7,4,6,5] => [1,1,2,1,2,1]
[4,2,1,7,8,3,6,5] => [1,1,3,2,1]
[5,2,7,1,8,3,6,4] => [1,2,2,2,1]
[6,7,2,1,8,3,5,4] => [2,1,2,2,1]
[5,2,7,1,8,3,4,6] => [1,2,2,3]
[4,2,1,7,8,3,5,6] => [1,1,3,3]
[3,2,1,8,4,5,7,6] => [1,1,2,3,1]
[7,5,2,8,6,3,4,1] => [1,1,2,1,2,1]
[7,4,8,6,2,5,3,1] => [1,2,1,2,1,1]
[7,3,8,6,2,4,5,1] => [1,2,1,3,1]
[7,4,3,1,8,2,5,6] => [1,1,1,2,3]
[7,4,2,8,5,6,1,3] => [1,1,2,2,2]
[7,3,8,5,2,4,6,1] => [1,2,1,3,1]
[7,3,8,4,5,6,2,1] => [1,2,3,1,1]
[6,3,8,2,4,5,1,7] => [1,2,3,2]
[6,3,8,2,5,7,4,1] => [1,2,3,1,1]
[6,4,3,8,1,5,2,7] => [1,1,2,2,2]
[6,3,7,8,2,4,1,5] => [1,3,2,2]
[5,6,7,3,8,2,4,1] => [3,2,2,1]
[5,4,7,2,6,8,1,3] => [1,2,3,2]
[5,3,8,2,4,6,7,1] => [1,2,4,1]
[6,3,8,2,4,7,5,1] => [1,2,3,1,1]
[5,7,4,2,6,8,1,3] => [2,1,3,2]
[6,4,8,2,7,5,1,3] => [1,2,2,1,2]
[6,5,3,1,4,2,7,8] => [1,1,1,2,3]
[5,7,4,2,6,1,3,8] => [2,1,2,3]
[5,6,4,2,3,8,1,7] => [2,1,3,2]
[5,6,3,7,8,2,4,1] => [2,3,2,1]
[5,6,3,8,2,4,7,1] => [2,2,3,1]
[6,3,7,2,4,5,1,8] => [1,2,3,2]
[6,3,7,2,5,8,4,1] => [1,2,3,1,1]
[5,3,6,8,2,4,7,1] => [1,3,3,1]
[5,4,6,2,3,8,1,7] => [1,2,3,2]
[5,3,6,7,8,2,4,1] => [1,4,2,1]
[3,6,4,2,1,5,8,7] => [2,1,1,3,1]
[3,5,8,6,4,2,1,7] => [3,1,1,1,2]
[5,8,6,3,4,2,1,7] => [2,1,2,1,2]
[5,6,3,4,2,1,8,7] => [2,2,1,2,1]
[6,3,4,2,1,5,8,7] => [1,2,1,3,1]
[5,6,4,2,1,3,8,7] => [2,1,1,3,1]
[2,5,4,1,7,8,6,3] => [2,1,3,1,1]
[2,7,8,5,4,1,6,3] => [3,1,1,2,1]
[2,8,5,4,1,6,3,7] => [2,1,1,2,2]
[2,6,3,8,5,4,1,7] => [2,2,1,1,2]
[2,8,6,3,5,4,1,7] => [2,1,2,1,2]
[5,8,6,4,2,1,3,7] => [2,1,1,1,3]
[4,2,1,5,7,8,6,3] => [1,1,4,1,1]
[2,7,8,6,3,5,4,1] => [3,1,2,1,1]
[4,3,8,5,7,6,2,1] => [1,2,2,1,1,1]
[7,6,2,1,8,4,3,5] => [1,1,1,2,1,2]
[2,1,8,5,6,4,3,7] => [1,2,2,1,2]
[4,2,1,8,5,6,3,7] => [1,1,2,2,2]
[8,4,2,1,5,6,3,7] => [1,1,1,3,2]
[2,5,6,3,8,4,1,7] => [3,2,1,2]
[6,3,4,2,1,8,5,7] => [1,2,1,2,2]
[3,7,8,5,6,4,2,1] => [3,2,1,1,1]
[3,8,5,6,4,2,1,7] => [2,2,1,1,2]
[3,6,4,2,1,8,5,7] => [2,1,1,2,2]
[3,8,6,4,2,1,5,7] => [2,1,1,1,3]
[3,7,8,6,4,2,1,5] => [3,1,1,1,2]
[8,5,3,7,6,2,4,1] => [1,1,2,1,2,1]
[7,6,2,4,1,8,5,3] => [1,1,2,2,1,1]
[8,5,4,1,7,6,2,3] => [1,1,1,2,1,2]
[7,6,2,3,8,5,4,1] => [1,1,3,1,1,1]
[2,1,7,8,6,4,3,5] => [1,3,1,1,2]
[2,1,6,4,3,7,8,5] => [1,2,1,3,1]
[6,4,2,1,3,7,8,5] => [1,1,1,4,1]
[6,3,7,8,4,2,1,5] => [1,3,1,1,2]
[7,8,4,2,1,6,3,5] => [2,1,1,2,2]
[5,7,6,2,3,8,4,1] => [2,1,3,1,1]
[2,6,1,8,4,3,7,5] => [2,2,1,2,1]
[2,6,1,7,5,8,4,3] => [2,2,2,1,1]
[8,4,2,3,7,5,6,1] => [1,1,3,2,1]
[8,5,7,6,2,1,4,3] => [1,2,1,1,2,1]
[4,8,5,7,6,2,1,3] => [2,2,1,1,2]
[4,7,6,2,1,3,8,5] => [2,1,1,3,1]
[7,5,6,1,8,4,2,3] => [1,2,2,1,2]
[2,7,5,8,4,3,6,1] => [2,2,1,2,1]
[2,8,4,3,6,1,7,5] => [2,1,2,2,1]
[6,4,7,8,3,2,1,5] => [1,3,1,1,2]
[6,4,3,7,5,2,1,8] => [1,1,2,1,1,2]
[6,5,3,2,8,4,1,7] => [1,1,1,2,1,2]
[6,5,2,7,8,4,1,3] => [1,1,3,1,2]
[6,4,3,2,5,8,1,7] => [1,1,1,3,2]
[6,3,7,2,5,4,1,8] => [1,2,2,1,2]
[6,3,2,7,5,4,1,8] => [1,1,2,1,1,2]
[8,4,2,6,3,1,7,5] => [1,1,2,1,2,1]
[1,5,3,7,4,2,8,6] => [2,2,1,2,1]
[1,6,7,3,4,2,8,5] => [3,2,2,1]
[8,6,5,2,3,1,7,4] => [1,1,1,2,2,1]
[1,7,6,3,4,2,8,5] => [2,1,2,2,1]
[1,8,6,3,2,5,7,4] => [2,1,1,3,1]
[8,7,5,2,1,4,6,3] => [1,1,1,1,3,1]
[7,8,5,2,1,4,6,3] => [2,1,1,3,1]
[6,8,5,2,3,1,7,4] => [2,1,2,2,1]
[5,8,6,2,3,1,7,4] => [2,1,2,2,1]
[4,8,2,6,3,1,7,5] => [2,2,1,2,1]
[3,2,8,6,4,1,7,5] => [1,2,1,1,2,1]
[3,2,1,7,5,4,8,6] => [1,1,2,1,2,1]
[4,1,3,7,5,2,8,6] => [1,3,1,2,1]
[5,1,7,3,4,2,8,6] => [1,2,2,2,1]
[7,1,6,3,2,5,8,4] => [1,2,1,3,1]
[1,2,7,4,3,6,8,5] => [3,1,3,1]
[6,1,8,2,4,5,7,3] => [1,2,4,1]
[5,1,8,3,2,6,7,4] => [1,2,1,3,1]
[3,2,8,7,1,5,6,4] => [1,2,1,3,1]
[4,8,2,7,1,5,6,3] => [2,2,3,1]
[5,8,7,2,1,4,6,3] => [2,1,1,3,1]
[6,8,7,1,3,4,5,2] => [2,1,4,1]
[7,8,6,1,3,4,5,2] => [2,1,4,1]
[1,7,8,2,4,5,6,3] => [3,4,1]
[8,6,7,1,3,4,5,2] => [1,2,4,1]
[7,6,8,1,3,4,5,2] => [1,2,4,1]
[6,5,8,2,3,1,7,4] => [1,2,2,2,1]
[1,6,8,3,2,5,7,4] => [3,1,3,1]
[1,5,3,8,2,6,7,4] => [2,2,3,1]
[8,4,2,7,1,5,6,3] => [1,1,2,3,1]
[7,4,2,8,1,5,6,3] => [1,1,2,3,1]
[6,4,2,8,3,1,7,5] => [1,1,2,1,2,1]
[5,4,2,3,8,1,7,6] => [1,1,3,2,1]
[4,5,2,3,1,6,8,7] => [2,2,3,1]
[7,4,2,1,3,6,8,5] => [1,1,1,4,1]
[8,4,2,1,3,6,7,5] => [1,1,1,4,1]
[1,5,3,2,4,7,8,6] => [2,1,4,1]
[8,5,1,3,2,6,7,4] => [1,1,2,3,1]
[5,6,1,3,4,2,8,7] => [2,3,2,1]
[4,6,2,1,5,3,8,7] => [2,1,2,2,1]
[4,7,2,1,3,6,8,5] => [2,1,4,1]
[5,7,1,3,2,6,8,4] => [2,2,3,1]
[6,7,1,2,4,5,8,3] => [2,5,1]
[8,6,1,2,4,5,7,3] => [1,1,5,1]
[1,8,2,3,5,6,7,4] => [2,5,1]
[8,7,1,2,4,5,6,3] => [1,1,5,1]
[7,8,1,2,4,5,6,3] => [2,5,1]
[5,8,1,3,2,6,7,4] => [2,2,3,1]
[4,8,2,1,3,6,7,5] => [2,1,4,1]
[4,1,3,2,5,7,8,6] => [1,2,4,1]
[5,1,2,4,3,7,8,6] => [1,3,3,1]
[5,4,8,1,2,3,7,6] => [1,2,4,1]
[1,4,7,6,3,2,5,8] => [3,1,1,3]
[4,8,3,2,7,6,1,5] => [2,1,2,1,2]
[4,3,8,2,7,1,6,5] => [1,2,2,2,1]
[1,4,7,3,6,2,5,8] => [3,2,3]
[4,3,2,8,1,7,6,5] => [1,1,2,2,1,1]
[4,1,8,3,7,2,5,6] => [1,2,2,3]
[4,1,8,7,3,2,5,6] => [1,2,1,1,3]
[4,7,8,1,2,5,3,6] => [3,3,2]
[3,4,7,6,2,1,8,5] => [3,1,1,2,1]
[3,4,2,7,1,6,8,5] => [2,2,3,1]
[2,3,6,7,4,1,8,5] => [4,1,2,1]
[2,6,3,4,7,8,1,5] => [2,4,2]
[2,6,7,8,3,4,1,5] => [4,2,2]
[3,1,7,8,4,2,5,6] => [1,3,1,3]
[4,1,3,2,8,7,5,6] => [1,2,2,1,2]
[3,7,8,2,6,4,1,5] => [3,2,1,2]
[4,2,3,8,1,6,7,5] => [1,3,3,1]
[4,3,1,8,2,5,7,6] => [1,1,2,3,1]
[1,3,6,7,4,2,5,8] => [4,1,3]
[3,2,7,8,4,1,6,5] => [1,3,1,2,1]
[4,2,8,6,3,1,7,5] => [1,2,1,1,2,1]
[3,7,2,4,8,6,1,5] => [2,3,1,2]
[3,2,7,4,8,1,6,5] => [1,2,2,2,1]
[1,3,6,4,7,2,5,8] => [3,2,3]
[3,2,4,7,1,8,6,5] => [1,3,2,1,1]
[3,7,4,2,6,8,1,5] => [2,1,3,2]
[3,7,4,6,2,8,1,5] => [2,2,2,2]
[4,7,1,5,8,2,3,6] => [2,3,3]
[3,7,6,4,8,2,1,5] => [2,1,2,1,2]
[3,1,7,4,8,2,5,6] => [1,2,2,3]
[2,6,7,3,8,4,1,5] => [3,2,1,2]
[2,3,6,4,7,1,8,5] => [3,2,2,1]
[8,7,5,2,6,3,4,1] => [1,1,1,2,2,1]
[8,6,5,2,7,3,4,1] => [1,1,1,2,2,1]
[7,4,8,5,6,3,2,1] => [1,2,2,1,1,1]
[3,4,6,7,8,5,1,2] => [5,1,2]
[1,2,6,4,7,5,8,3] => [3,2,2,1]
[3,1,7,5,4,2,6,8] => [1,2,1,1,3]
[6,3,8,5,4,7,1,2] => [1,2,1,2,2]
[1,6,2,5,4,7,8,3] => [2,2,3,1]
[1,8,2,5,6,3,7,4] => [2,3,2,1]
[1,2,6,4,8,5,7,3] => [3,2,2,1]
[7,8,3,1,4,2,5,6] => [2,1,2,3]
[4,8,1,5,2,3,6,7] => [2,2,4]
[7,4,1,5,2,3,6,8] => [1,1,2,4]
[5,6,1,8,4,3,2,7] => [2,2,1,1,2]
[5,1,8,6,4,3,2,7] => [1,2,1,1,1,2]
[5,1,6,3,8,7,2,4] => [1,2,2,1,2]
[6,1,2,5,8,3,7,4] => [1,4,2,1]
[6,1,8,7,4,3,2,5] => [1,2,1,1,1,2]
[7,1,2,5,4,8,6,3] => [1,3,2,1,1]
[1,2,7,5,8,3,6,4] => [3,2,2,1]
[4,1,6,3,7,5,2,8] => [1,2,2,1,2]
[1,3,6,7,8,5,2,4] => [5,1,2]
[1,2,6,4,7,8,5,3] => [3,3,1,1]
[4,1,6,3,7,8,2,5] => [1,2,3,2]
[3,1,6,4,8,2,7,5] => [1,2,2,2,1]
[7,8,4,1,6,3,2,5] => [2,1,2,1,2]
[4,1,6,3,8,7,2,5] => [1,2,2,1,2]
[7,5,1,8,4,3,2,6] => [1,1,2,1,1,2]
[6,5,1,7,4,3,2,8] => [1,1,2,1,1,2]
[4,1,8,5,2,3,7,6] => [1,2,1,3,1]
[4,1,6,8,3,7,2,5] => [1,3,2,2]
[5,4,6,1,3,8,2,7] => [1,2,3,2]
[6,5,8,1,4,3,2,7] => [1,2,2,1,2]
[1,3,5,7,6,8,2,4] => [4,2,2]
[1,3,5,7,6,2,8,4] => [4,1,2,1]
[1,3,5,7,2,6,8,4] => [4,3,1]
[1,3,5,2,7,6,4,8] => [3,2,1,2]
[1,3,5,7,6,2,4,8] => [4,1,3]
[1,3,5,7,4,6,8,2] => [4,3,1]
[1,3,5,7,4,6,2,8] => [4,2,2]
[1,3,5,7,4,2,6,8] => [4,1,3]
[1,3,5,4,7,2,6,8] => [3,2,3]
[1,3,5,4,7,8,2,6] => [3,3,2]
[1,3,5,4,7,2,8,6] => [3,2,2,1]
[1,3,5,7,4,2,8,6] => [4,1,2,1]
[1,3,5,7,4,8,2,6] => [4,2,2]
[1,3,5,7,4,8,6,2] => [4,2,1,1]
[1,3,5,7,8,4,6,2] => [5,2,1]
[1,3,5,7,8,4,2,6] => [5,1,2]
[1,3,5,2,7,8,6,4] => [3,3,1,1]
[1,3,5,7,2,8,6,4] => [4,2,1,1]
[1,3,5,7,8,2,6,4] => [5,2,1]
[1,6,3,2,7,4,8,5] => [2,1,2,2,1]
[3,5,1,6,2,8,7,4] => [2,2,2,1,1]
[1,3,7,2,5,4,8,6] => [3,2,2,1]
[2,6,1,7,4,3,8,5] => [2,2,1,2,1]
[1,4,7,3,5,2,8,6] => [3,2,2,1]
[1,3,7,5,2,4,8,6] => [3,1,3,1]
[2,5,7,4,3,8,1,6] => [3,1,2,2]
[2,5,3,7,4,8,1,6] => [2,2,2,2]
[1,4,7,2,3,8,6,5] => [3,3,1,1]
[2,4,7,3,1,8,6,5] => [3,1,2,1,1]
[1,4,6,3,8,2,7,5] => [3,2,2,1]
[1,4,7,3,8,2,6,5] => [3,2,2,1]
[2,5,1,7,8,4,6,3] => [2,3,2,1]
[3,2,6,7,8,1,5,4] => [1,4,2,1]
[4,3,6,7,8,2,1,5] => [1,4,1,2]
[3,5,2,7,8,4,1,6] => [2,3,1,2]
[1,5,7,4,8,3,2,6] => [3,2,1,2]
[2,5,1,6,8,4,7,3] => [2,3,2,1]
[4,6,2,1,7,8,3,5] => [2,1,3,2]
[5,3,6,4,7,8,2,1] => [1,2,3,1,1]
[3,5,2,6,8,4,7,1] => [2,3,2,1]
[2,5,4,6,8,7,1,3] => [2,3,1,2]
[1,3,6,2,8,7,5,4] => [3,2,1,1,1]
[1,4,6,3,8,7,2,5] => [3,2,1,2]
[2,5,7,4,3,8,6,1] => [3,1,2,1,1]
[1,5,7,2,4,8,6,3] => [3,3,1,1]
[4,6,3,7,2,8,5,1] => [2,2,2,1,1]
[1,4,7,3,8,6,2,5] => [3,2,1,2]
[3,2,6,7,8,5,1,4] => [1,4,1,2]
[1,3,7,2,8,6,5,4] => [3,2,1,1,1]
[5,1,6,8,2,4,3,7] => [1,3,2,2]
[5,3,7,8,2,4,1,6] => [1,3,2,2]
[8,5,3,7,2,4,1,6] => [1,1,2,2,2]
[8,2,4,7,3,1,5,6] => [1,3,1,3]
[2,4,7,8,3,1,5,6] => [4,1,3]
[6,3,1,5,8,2,4,7] => [1,1,3,3]
[6,5,3,4,2,8,1,7] => [1,1,2,2,2]
[5,2,4,3,8,1,6,7] => [1,2,2,3]
[3,2,4,8,1,5,6,7] => [1,3,4]
[3,2,4,6,8,1,5,7] => [1,4,3]
[8,1,5,7,3,2,4,6] => [1,3,1,3]
[8,4,6,7,2,3,1,5] => [1,3,2,2]
[4,6,7,8,2,3,1,5] => [4,2,2]
[7,4,6,8,2,3,1,5] => [1,3,2,2]
[7,2,4,8,3,1,5,6] => [1,3,1,3]
[5,3,8,7,2,4,1,6] => [1,2,1,2,2]
[2,4,8,7,3,1,5,6] => [3,1,1,3]
[4,6,8,7,2,3,1,5] => [3,1,2,2]
[8,7,4,6,2,3,1,5] => [1,1,2,2,2]
[5,6,8,7,2,3,1,4] => [3,1,2,2]
[6,4,8,7,2,3,1,5] => [1,2,1,2,2]
[3,1,7,4,2,8,6,5] => [1,2,1,2,1,1]
[3,2,8,4,1,7,6,5] => [1,2,1,2,1,1]
[7,6,4,8,2,3,1,5] => [1,1,2,2,2]
[5,7,6,8,2,3,1,4] => [2,2,2,2]
[4,7,6,8,2,3,1,5] => [2,2,2,2]
[8,6,4,7,2,3,1,5] => [1,1,2,2,2]
[8,2,3,7,4,1,6,5] => [1,3,1,2,1]
[2,3,7,8,4,1,6,5] => [4,1,2,1]
[3,7,4,8,2,5,1,6] => [2,2,2,2]
[2,3,7,4,1,6,8,5] => [3,1,3,1]
[8,1,6,4,2,3,7,5] => [1,2,1,3,1]
[4,7,8,6,2,3,1,5] => [3,1,2,2]
[2,4,7,3,1,5,8,6] => [3,1,3,1]
[6,3,1,7,4,2,8,5] => [1,1,2,1,2,1]
[8,5,7,6,2,3,1,4] => [1,2,1,2,2]
[7,5,8,6,2,3,1,4] => [1,2,1,2,2]
[7,1,6,4,2,3,8,5] => [1,2,1,3,1]
[3,1,7,6,4,2,8,5] => [1,2,1,1,2,1]
[4,8,7,6,2,3,1,5] => [2,1,1,2,2]
[6,8,7,5,2,3,1,4] => [2,1,1,2,2]
[4,3,6,1,5,8,7,2] => [1,2,3,1,1]
[4,3,6,5,1,8,7,2] => [1,2,1,2,1,1]
[4,6,3,5,1,8,7,2] => [2,2,2,1,1]
[4,6,3,1,5,8,7,2] => [2,1,3,1,1]
[4,1,6,5,3,8,7,2] => [1,2,1,2,1,1]
[4,6,1,5,3,8,7,2] => [2,2,2,1,1]
[2,6,5,3,1,8,7,4] => [2,1,1,2,1,1]
[2,6,5,1,8,7,3,4] => [2,1,2,1,2]
[2,6,5,8,1,7,3,4] => [2,2,2,2]
[2,6,5,8,1,3,7,4] => [2,2,3,1]
[2,6,5,8,3,1,7,4] => [2,2,1,2,1]
[2,6,5,3,8,1,7,4] => [2,1,2,2,1]
[4,6,1,5,8,3,7,2] => [2,3,2,1]
[4,1,6,5,8,3,7,2] => [1,2,2,2,1]
[1,4,6,5,8,3,7,2] => [3,2,2,1]
[4,1,6,5,8,7,3,2] => [1,2,2,1,1,1]
[2,6,5,3,8,7,1,4] => [2,1,2,1,2]
[6,4,3,8,7,1,5,2] => [1,1,2,1,2,1]
[6,4,8,3,7,1,5,2] => [1,2,2,2,1]
[2,6,8,5,3,7,1,4] => [3,1,2,2]
[4,6,8,1,5,7,3,2] => [3,3,1,1]
[4,6,1,8,5,7,3,2] => [2,2,2,1,1]
[4,1,6,8,5,7,3,2] => [1,3,2,1,1]
[1,4,6,8,5,7,3,2] => [4,2,1,1]
[1,4,6,8,5,3,7,2] => [4,1,2,1]
[4,6,1,8,5,3,7,2] => [2,2,1,2,1]
[2,6,8,5,3,1,7,4] => [3,1,1,2,1]
[2,6,8,5,1,7,3,4] => [3,1,2,2]
[4,6,8,3,5,1,7,2] => [3,2,2,1]
[4,6,8,3,1,5,7,2] => [3,1,3,1]
[4,6,3,1,8,5,7,2] => [2,1,2,2,1]
[4,6,3,8,1,5,7,2] => [2,2,3,1]
[4,6,3,8,5,7,1,2] => [2,2,2,2]
[4,3,6,8,1,5,7,2] => [1,3,3,1]
[4,3,6,1,8,5,7,2] => [1,2,2,2,1]
[4,3,1,6,8,5,7,2] => [1,1,3,2,1]
[4,1,3,6,8,7,5,2] => [1,4,1,1,1]
[4,3,6,1,8,7,5,2] => [1,2,2,1,1,1]
[4,3,6,8,1,7,5,2] => [1,3,2,1,1]
[6,5,2,8,7,3,1,4] => [1,1,2,1,1,2]
[6,5,2,8,7,1,3,4] => [1,1,2,1,3]
[6,2,5,8,7,1,3,4] => [1,3,1,3]
[6,2,5,8,7,3,1,4] => [1,3,1,1,2]
[4,6,3,8,1,7,5,2] => [2,2,2,1,1]
[4,6,3,1,8,7,5,2] => [2,1,2,1,1,1]
[4,1,6,3,8,7,5,2] => [1,2,2,1,1,1]
[1,4,6,3,8,7,5,2] => [3,2,1,1,1]
[4,1,6,8,3,7,5,2] => [1,3,2,1,1]
[4,6,1,8,3,7,5,2] => [2,2,2,1,1]
[4,6,8,1,3,7,5,2] => [3,3,1,1]
[6,2,8,5,7,3,1,4] => [1,2,2,1,2]
[6,2,8,5,7,1,3,4] => [1,2,2,3]
[2,4,8,7,1,5,3,6] => [3,1,2,2]
[4,2,8,7,5,3,1,6] => [1,2,1,1,1,2]
[6,4,1,8,7,5,3,2] => [1,1,2,1,1,1,1]
[6,1,4,8,7,5,3,2] => [1,3,1,1,1,1]
[1,6,4,8,7,3,5,2] => [2,2,1,2,1]
[6,4,1,8,7,3,5,2] => [1,1,2,1,2,1]
[4,2,8,7,5,1,3,6] => [1,2,1,1,3]
[2,4,8,7,3,5,1,6] => [3,1,2,2]
[2,3,4,7,1,8,6,5] => [4,2,1,1]
[2,3,4,7,8,5,6,1] => [5,2,1]
[2,3,6,7,4,8,5,1] => [4,2,1,1]
[2,5,6,3,7,8,1,4] => [3,3,2]
[2,3,7,1,4,8,6,5] => [3,3,1,1]
[2,6,1,3,7,8,5,4] => [2,4,1,1]
[2,5,6,7,4,8,1,3] => [4,2,2]
[2,3,7,8,4,5,6,1] => [4,3,1]
[2,6,7,3,4,8,5,1] => [3,3,1,1]
[1,5,3,2,6,4,7,8] => [2,1,2,3]
[1,5,3,2,6,7,4,8] => [2,1,3,2]
[1,7,3,2,8,5,4,6] => [2,1,2,1,2]
[1,7,3,2,5,8,4,6] => [2,1,3,2]
[1,3,2,7,5,4,8,6] => [2,2,1,2,1]
[6,5,2,4,3,7,1,8] => [1,1,2,2,2]
[6,4,2,5,3,7,1,8] => [1,1,2,2,2]
[5,4,7,6,2,3,1,8] => [1,2,1,2,2]
[3,6,4,8,2,1,5,7] => [2,2,1,3]
[1,6,2,8,5,3,4,7] => [2,2,1,3]
[4,6,2,3,7,5,1,8] => [2,3,1,2]
[4,7,2,3,6,5,1,8] => [2,3,1,2]
[4,7,2,3,5,6,1,8] => [2,4,2]
[5,3,2,7,4,6,1,8] => [1,1,2,2,2]
[5,3,2,6,4,7,1,8] => [1,1,2,2,2]
[4,6,2,3,5,7,1,8] => [2,4,2]
[3,5,2,1,6,8,4,7] => [2,1,3,2]
[1,5,2,6,8,4,3,7] => [2,3,1,2]
[1,5,7,2,8,4,3,6] => [3,2,1,2]
[3,5,2,1,8,6,4,7] => [2,1,2,1,2]
[3,6,8,4,2,1,5,7] => [3,1,1,3]
[4,3,2,6,1,8,5,7] => [1,1,2,2,2]
[1,5,8,2,7,4,3,6] => [3,2,1,2]
[1,7,2,3,4,8,6,5] => [2,4,1,1]
[6,8,2,3,4,1,7,5] => [2,3,2,1]
[4,1,8,2,3,5,7,6] => [1,2,4,1]
[2,3,1,8,4,5,7,6] => [2,2,3,1]
[7,3,2,1,4,5,8,6] => [1,1,1,4,1]
[7,8,1,4,3,5,2,6] => [2,2,2,2]
[7,1,2,3,4,6,8,5] => [1,6,1]
[6,1,2,3,4,8,7,5] => [1,5,1,1]
[1,8,2,3,4,7,6,5] => [2,4,1,1]
[8,1,2,3,4,6,7,5] => [1,6,1]
[2,8,1,3,5,4,7,6] => [2,3,2,1]
[8,7,1,4,3,5,2,6] => [1,1,2,2,2]
[8,3,2,1,4,5,7,6] => [1,1,1,4,1]
[3,8,2,1,5,6,4,7] => [2,1,3,2]
[3,8,2,1,6,5,4,7] => [2,1,2,1,2]
[1,7,8,3,5,4,2,6] => [3,2,1,2]
[7,4,1,8,3,5,2,6] => [1,1,2,2,2]
[8,4,1,7,3,5,2,6] => [1,1,2,2,2]
[3,8,4,6,2,1,5,7] => [2,2,1,3]
[8,4,2,5,3,1,6,7] => [1,1,2,1,3]
[8,5,2,4,3,1,6,7] => [1,1,2,1,3]
[8,3,2,5,4,1,6,7] => [1,1,2,1,3]
[4,3,2,5,1,8,6,7] => [1,1,2,2,2]
[3,5,2,4,1,8,6,7] => [2,2,2,2]
[2,4,7,8,1,5,3,6] => [4,2,2]
[1,8,7,3,5,4,2,6] => [2,1,2,1,2]
[5,1,8,2,7,4,3,6] => [1,2,2,1,2]
[5,1,7,2,8,4,3,6] => [1,2,2,1,2]
[6,1,2,8,5,3,4,7] => [1,3,1,3]
[6,3,2,1,8,4,5,7] => [1,1,1,2,3]
[7,3,2,8,4,5,1,6] => [1,1,2,2,2]
[2,7,8,4,3,5,1,6] => [3,1,2,2]
[7,1,8,3,5,4,2,6] => [1,2,2,1,2]
[7,8,2,3,4,6,1,5] => [2,4,2]
[6,7,1,3,4,8,2,5] => [2,4,2]
[6,8,1,3,4,7,2,5] => [2,4,2]
[1,7,2,3,4,6,8,5] => [2,5,1]
[1,6,2,3,4,8,7,5] => [2,4,1,1]
[7,6,2,3,4,1,8,5] => [1,1,3,2,1]
[8,6,2,3,4,1,7,5] => [1,1,3,2,1]
[8,1,7,3,5,4,2,6] => [1,2,2,1,2]
[8,3,2,7,4,5,1,6] => [1,1,2,2,2]
[6,7,2,3,4,1,8,5] => [2,3,2,1]
[7,6,2,3,4,8,1,5] => [1,1,4,2]
[8,6,2,3,4,7,1,5] => [1,1,4,2]
[6,3,4,8,7,5,1,2] => [1,3,1,1,2]
[4,8,7,3,5,6,1,2] => [2,1,3,2]
[4,8,7,5,3,6,1,2] => [2,1,1,2,2]
[5,8,7,3,4,6,1,2] => [2,1,3,2]
[5,8,4,2,1,6,7,3] => [2,1,1,3,1]
[5,8,4,1,2,6,7,3] => [2,1,4,1]
[5,3,7,2,6,1,8,4] => [1,2,2,2,1]
[5,2,8,1,6,3,7,4] => [1,2,2,2,1]
[5,8,2,1,4,7,6,3] => [2,1,3,1,1]
[4,8,2,5,1,7,6,3] => [2,2,2,1,1]
[7,8,4,1,2,6,5,3] => [2,1,3,1,1]
[4,8,1,5,2,7,6,3] => [2,2,2,1,1]
[5,8,1,2,4,7,6,3] => [2,4,1,1]
[5,2,8,3,6,7,1,4] => [1,2,3,2]
[3,8,7,6,2,4,1,5] => [2,1,1,2,2]
[2,8,7,6,4,1,3,5] => [2,1,1,1,3]
[7,8,2,6,5,1,3,4] => [2,2,1,3]
[1,8,7,6,4,2,3,5] => [2,1,1,1,3]
[2,8,7,6,3,1,4,5] => [2,1,1,1,3]
[1,8,7,6,2,4,3,5] => [2,1,1,2,2]
[1,8,7,6,3,4,2,5] => [2,1,1,2,2]
[2,8,1,4,5,6,7,3] => [2,5,1]
[2,1,7,3,6,5,8,4] => [1,2,2,2,1]
[3,1,7,2,6,5,8,4] => [1,2,2,2,1]
[3,2,7,1,6,5,8,4] => [1,2,2,2,1]
[6,1,2,8,5,7,3,4] => [1,3,2,2]
[6,2,1,8,5,7,3,4] => [1,1,2,2,2]
[6,3,1,8,5,7,2,4] => [1,1,2,2,2]
[6,4,2,1,7,5,8,3] => [1,1,1,2,2,1]
[6,1,3,8,5,2,7,4] => [1,3,1,2,1]
[2,3,7,1,6,8,5,4] => [3,3,1,1]
[1,3,7,2,6,8,5,4] => [3,3,1,1]
[7,8,2,6,5,3,1,4] => [2,2,1,1,2]
[3,2,6,7,5,8,1,4] => [1,3,2,2]
[1,2,7,5,6,3,8,4] => [3,2,2,1]
[2,8,7,6,4,3,1,5] => [2,1,1,1,1,2]
[3,8,7,6,1,2,5,4] => [2,1,1,3,1]
[3,8,7,6,2,1,5,4] => [2,1,1,1,2,1]
[4,8,7,6,2,1,3,5] => [2,1,1,1,3]
[4,8,7,6,1,3,2,5] => [2,1,1,2,2]
[3,8,7,6,4,1,2,5] => [2,1,1,1,3]
[7,8,3,6,5,1,2,4] => [2,2,1,3]
[2,3,7,5,6,8,1,4] => [3,3,2]
[3,8,7,6,4,2,1,5] => [2,1,1,1,1,2]
[5,1,4,6,8,2,3,7] => [1,4,3]
[1,7,6,3,5,4,8,2] => [2,1,2,2,1]
[4,3,7,2,6,5,1,8] => [1,2,2,1,2]
[3,4,6,1,5,7,2,8] => [3,3,2]
[1,6,8,5,7,3,4,2] => [3,2,2,1]
[2,4,1,5,8,6,3,7] => [2,3,1,2]
[4,6,1,2,5,8,3,7] => [2,4,2]
[5,6,7,2,1,4,8,3] => [3,1,3,1]
[7,8,6,5,1,2,4,3] => [2,1,1,3,1]
[1,3,6,5,7,8,2,4] => [3,3,2]
[7,4,8,5,3,1,6,2] => [1,2,1,1,2,1]
[6,8,5,2,4,1,7,3] => [2,1,2,2,1]
[2,3,1,6,8,5,7,4] => [2,3,2,1]
[7,3,2,5,1,4,8,6] => [1,1,2,3,1]
[7,1,4,2,3,6,8,5] => [1,2,4,1]
[1,5,8,3,4,6,7,2] => [3,4,1]
[8,3,1,2,4,7,6,5] => [1,1,4,1,1]
[2,3,8,1,6,5,4,7] => [3,2,1,2]
[8,1,4,7,2,5,3,6] => [1,3,2,2]
[3,5,2,4,1,7,8,6] => [2,2,3,1]
[3,4,7,8,6,2,1,5] => [4,1,1,2]
[3,4,8,6,2,7,1,5] => [3,1,2,2]
[5,8,2,1,6,7,3,4] => [2,1,3,2]
[5,7,2,8,6,4,3,1] => [2,2,1,1,1,1]
[6,1,2,7,5,3,8,4] => [1,3,1,2,1]
[7,3,2,8,6,4,1,5] => [1,1,2,1,1,2]
[2,7,8,4,6,3,1,5] => [3,2,1,2]
[1,4,5,7,2,6,8,3] => [4,3,1]
[7,3,5,2,6,1,8,4] => [1,2,2,2,1]
[8,5,2,3,6,1,7,4] => [1,1,3,2,1]
[8,1,6,3,5,7,2,4] => [1,2,3,2]
[2,8,6,4,3,7,1,5] => [2,1,1,2,2]
[8,3,2,6,4,7,1,5] => [1,1,2,2,2]
[2,3,8,7,6,5,1,4] => [3,1,1,1,2]
[1,2,8,7,3,6,5,4] => [3,1,2,1,1]
[4,2,8,7,3,6,1,5] => [1,2,1,2,2]
[4,5,8,7,1,2,6,3] => [3,1,3,1]
[1,5,8,7,3,2,6,4] => [3,1,1,2,1]
[4,5,8,7,3,2,1,6] => [3,1,1,1,2]
[2,6,8,1,7,5,4,3] => [3,2,1,1,1]
[3,6,8,4,7,2,1,5] => [3,2,1,2]
[2,5,8,3,7,6,1,4] => [3,2,1,2]
[3,2,8,4,7,6,1,5] => [1,2,2,1,2]
[1,5,8,3,7,2,6,4] => [3,2,2,1]
[3,5,8,4,7,2,1,6] => [3,2,1,2]
[5,6,8,2,3,7,1,4] => [3,3,2]
[1,6,8,4,2,7,5,3] => [3,1,2,1,1]
[1,5,8,4,2,7,6,3] => [3,1,2,1,1]
[1,5,8,2,3,7,6,4] => [3,3,1,1]
[2,1,8,4,3,7,6,5] => [1,2,1,2,1,1]
[2,5,8,4,3,7,1,6] => [3,1,2,2]
[5,6,8,4,1,2,7,3] => [3,1,3,1]
[5,6,8,1,3,2,7,4] => [3,2,2,1]
[1,6,8,4,3,2,7,5] => [3,1,1,2,1]
[5,6,8,4,3,2,1,7] => [3,1,1,1,2]
[7,1,2,8,6,5,4,3] => [1,3,1,1,1,1]
[7,1,4,8,6,2,5,3] => [1,3,1,2,1]
[7,3,1,8,6,2,5,4] => [1,1,2,1,2,1]
[7,2,4,8,3,6,1,5] => [1,3,2,2]
[7,1,4,8,3,2,6,5] => [1,3,1,2,1]
[7,4,5,8,3,2,1,6] => [1,3,1,1,2]
[1,6,2,8,7,5,4,3] => [2,2,1,1,1,1]
[1,6,4,8,7,2,5,3] => [2,2,1,2,1]
[3,6,4,8,7,2,1,5] => [2,2,1,1,2]
[3,2,5,8,7,6,1,4] => [1,3,1,1,2]
[3,2,4,8,7,6,1,5] => [1,3,1,1,2]
[3,1,5,8,7,2,6,4] => [1,3,1,2,1]
[3,1,4,8,7,2,6,5] => [1,3,1,2,1]
[1,6,4,8,2,7,5,3] => [2,2,2,1,1]
[1,4,5,8,2,7,6,3] => [4,2,1,1]
[2,4,5,8,3,7,1,6] => [4,2,2]
[4,6,5,8,1,2,7,3] => [2,2,3,1]
[1,6,4,8,3,2,7,5] => [2,2,1,2,1]
[1,4,5,8,3,2,7,6] => [4,1,2,1]
[7,6,1,4,8,2,5,3] => [1,1,3,2,1]
[7,6,1,3,8,2,5,4] => [1,1,3,2,1]
[7,6,3,4,8,2,1,5] => [1,1,3,1,2]
[7,2,5,1,8,6,4,3] => [1,2,2,1,1,1]
[7,2,5,3,8,6,1,4] => [1,2,2,1,2]
[7,2,1,4,8,6,5,3] => [1,1,3,1,1,1]
[7,2,1,3,8,6,5,4] => [1,1,3,1,1,1]
[7,2,3,4,8,6,1,5] => [1,4,1,2]
[7,3,5,4,8,2,1,6] => [1,2,2,1,2]
[2,6,5,1,8,7,4,3] => [2,1,2,1,1,1]
[2,3,5,4,8,7,1,6] => [3,2,1,2]
[1,6,5,4,8,2,7,3] => [2,1,2,2,1]
[1,6,5,3,8,2,7,4] => [2,1,2,2,1]
[1,6,3,4,8,2,7,5] => [2,3,2,1]
[1,3,5,4,8,2,7,6] => [3,2,2,1]
[3,6,5,4,8,2,1,7] => [2,1,2,1,2]
[7,6,5,2,3,8,1,4] => [1,1,1,3,2]
[7,6,1,4,2,8,5,3] => [1,1,2,2,1,1]
[7,6,1,2,3,8,5,4] => [1,1,4,1,1]
[7,6,2,4,3,8,1,5] => [1,1,2,2,2]
[7,1,5,4,2,8,6,3] => [1,2,1,2,1,1]
[7,1,5,2,3,8,6,4] => [1,2,3,1,1]
[7,1,2,4,3,8,6,5] => [1,3,2,1,1]
[2,6,5,4,3,8,1,7] => [2,1,1,2,2]
[7,6,1,4,3,2,8,5] => [1,1,2,1,2,1]
[7,1,5,4,3,2,8,6] => [1,2,1,1,2,1]
[3,4,2,6,7,8,1,5] => [2,4,2]
[3,1,4,2,6,8,7,5] => [1,2,3,1,1]
[8,3,4,2,6,1,7,5] => [1,2,2,2,1]
[2,6,7,3,5,4,1,8] => [3,2,1,2]
[2,7,8,3,5,4,1,6] => [3,2,1,2]
[2,6,8,3,5,4,1,7] => [3,2,1,2]
[4,7,1,2,8,5,3,6] => [2,3,1,2]
[4,8,1,2,7,5,3,6] => [2,3,1,2]
[2,1,6,3,7,5,4,8] => [1,2,2,1,2]
[2,7,1,3,6,8,4,5] => [2,4,2]
[6,7,3,2,8,1,4,5] => [2,1,2,3]
[7,3,4,2,6,1,8,5] => [1,2,2,2,1]
[7,4,1,2,8,5,3,6] => [1,1,3,1,2]
[8,7,4,2,1,5,3,6] => [1,1,1,1,2,2]
[7,4,1,2,6,5,3,8] => [1,1,3,1,2]
[7,4,3,1,5,6,8,2] => [1,1,1,4,1]
[6,7,4,1,5,8,3,2] => [2,1,3,1,1]
[4,7,5,1,6,8,3,2] => [2,1,3,1,1]
[4,5,3,1,7,6,8,2] => [2,1,2,2,1]
[4,6,1,2,7,5,3,8] => [2,3,1,2]
[2,7,1,3,6,5,4,8] => [2,3,1,2]
[4,1,8,2,6,5,3,7] => [1,2,2,1,2]
[4,6,1,2,8,5,3,7] => [2,3,1,2]
[8,4,3,1,5,6,7,2] => [1,1,1,4,1]
[4,5,3,1,8,6,7,2] => [2,1,2,2,1]
[4,8,5,6,3,1,7,2] => [2,2,1,2,1]
[5,1,3,4,8,6,7,2] => [1,4,2,1]
[5,4,3,8,1,6,7,2] => [1,1,2,3,1]
[8,5,3,4,1,6,7,2] => [1,1,2,3,1]
[6,4,8,2,1,5,3,7] => [1,2,1,2,2]
[6,7,3,2,5,1,4,8] => [2,1,2,3]
[6,8,3,2,5,1,4,7] => [2,1,2,3]
[5,7,1,4,6,8,3,2] => [2,4,1,1]
[5,1,3,4,7,6,8,2] => [1,4,2,1]
[6,1,4,2,7,5,3,8] => [1,2,2,1,2]
[5,4,3,7,1,6,8,2] => [1,1,2,3,1]
[6,7,5,4,1,8,3,2] => [2,1,1,2,1,1]
[7,6,4,2,1,5,3,8] => [1,1,1,1,2,2]
[8,2,7,6,5,4,1,3] => [1,2,1,1,1,2]
[7,2,8,6,5,4,3,1] => [1,2,1,1,1,1,1]
[8,7,2,6,5,4,1,3] => [1,1,2,1,1,2]
[3,2,8,7,6,5,1,4] => [1,2,1,1,1,2]
[4,8,7,6,5,3,1,2] => [2,1,1,1,1,2]
[7,8,6,1,5,4,3,2] => [2,1,2,1,1,1]
[7,3,8,6,5,4,2,1] => [1,2,1,1,1,1,1]
[4,8,5,7,6,3,2,1] => [2,2,1,1,1,1]
[3,8,7,4,6,5,2,1] => [2,1,2,1,1,1]
[8,5,6,1,3,2,4,7] => [1,2,2,3]
[8,6,1,5,3,2,4,7] => [1,1,2,1,3]
[7,8,1,5,3,2,4,6] => [2,2,1,3]
[8,1,7,5,3,2,4,6] => [1,2,1,1,3]
[8,6,1,4,5,2,3,7] => [1,1,3,3]
[8,6,3,1,5,2,4,7] => [1,1,1,2,3]
[8,4,6,1,5,2,3,7] => [1,2,2,3]
[8,6,2,1,5,4,3,7] => [1,1,1,2,1,2]
[8,5,2,6,1,4,3,7] => [1,1,2,2,2]
[8,5,2,1,7,4,3,6] => [1,1,1,2,1,2]
[7,8,2,1,5,4,3,6] => [2,1,2,1,2]
[7,8,3,1,5,2,4,6] => [2,1,2,3]
[8,2,7,5,1,3,4,6] => [1,2,1,4]
[8,4,1,7,5,2,3,6] => [1,1,2,1,3]
[8,2,7,1,5,4,3,6] => [1,2,2,1,2]
[8,2,6,1,7,4,3,5] => [1,2,2,1,2]
[8,1,7,4,3,2,6,5] => [1,2,1,1,2,1]
[8,1,5,7,3,2,6,4] => [1,3,1,2,1]
[5,7,8,1,3,2,6,4] => [3,2,2,1]
[8,2,6,1,5,7,3,4] => [1,2,3,2]
[5,8,1,6,7,2,3,4] => [2,3,3]
[5,7,6,1,8,2,3,4] => [2,1,2,3]
[6,7,2,5,1,8,3,4] => [2,2,2,2]
[7,5,1,6,8,2,3,4] => [1,1,3,3]
[6,5,7,1,8,2,3,4] => [1,2,2,3]
[6,7,3,8,1,2,4,5] => [2,2,4]
[7,5,4,1,8,2,3,6] => [1,1,1,2,3]
[7,6,1,4,8,2,3,5] => [1,1,3,3]
[8,1,6,4,7,2,3,5] => [1,2,2,3]
[7,5,8,1,3,2,4,6] => [1,2,2,3]
[7,8,4,1,3,2,5,6] => [2,1,2,3]
[8,3,7,4,1,2,5,6] => [1,2,1,4]
[8,5,1,7,3,2,4,6] => [1,1,2,1,3]
[6,8,1,7,3,2,4,5] => [2,2,1,3]
[7,1,8,4,3,6,2,5] => [1,2,1,2,2]
[7,3,1,8,6,4,2,5] => [1,1,2,1,1,2]
[8,3,1,7,4,6,2,5] => [1,1,2,2,2]
[8,4,5,1,7,2,3,6] => [1,2,2,3]
[5,6,8,1,7,2,3,4] => [3,2,3]
[6,5,8,1,2,7,3,4] => [1,2,3,2]
[7,3,1,8,5,6,2,4] => [1,1,2,2,2]
[6,2,7,8,3,1,5,4] => [1,3,1,2,1]
[5,8,1,7,3,2,6,4] => [2,2,1,2,1]
[8,4,1,7,3,2,6,5] => [1,1,2,1,2,1]
[8,3,4,7,1,2,6,5] => [1,3,3,1]
[8,2,7,4,1,3,6,5] => [1,2,1,3,1]
[7,4,8,2,1,3,6,5] => [1,2,1,3,1]
[7,4,3,8,1,2,6,5] => [1,1,2,3,1]
[8,2,3,6,7,1,5,4] => [1,4,2,1]
[2,6,8,7,1,5,4,3] => [3,1,2,1,1]
[7,8,5,2,3,6,4,1] => [2,1,3,1,1]
[8,7,5,2,3,1,6,4] => [1,1,1,2,2,1]
[6,8,5,2,3,4,7,1] => [2,1,4,1]
[3,5,2,6,8,1,4,7] => [2,3,3]
[3,5,2,4,6,8,1,7] => [2,4,2]
[2,4,5,7,3,6,8,1] => [4,3,1]
[2,4,5,3,6,8,1,7] => [3,3,2]
[5,2,4,6,8,1,3,7] => [1,4,3]
[5,1,3,4,6,8,2,7] => [1,5,2]
[4,3,5,2,6,8,1,7] => [1,2,3,2]
[4,3,5,7,2,8,1,6] => [1,3,2,2]
[4,3,5,7,2,6,8,1] => [1,3,3,1]
[4,6,3,7,2,5,8,1] => [2,2,3,1]
[4,6,3,1,7,8,2,5] => [2,1,3,2]
[4,3,5,1,7,8,2,6] => [1,2,3,2]
[5,7,1,3,4,8,2,6] => [2,4,2]
[5,7,1,3,4,6,8,2] => [2,5,1]
[4,5,7,1,3,6,8,2] => [3,4,1]
[4,3,6,7,1,5,8,2] => [1,3,3,1]
[4,6,3,5,1,7,8,2] => [2,2,3,1]
[4,6,3,5,7,2,8,1] => [2,3,2,1]
[3,5,6,4,1,7,8,2] => [3,1,3,1]
[3,1,5,6,7,4,8,2] => [1,4,2,1]
[5,1,6,7,3,4,8,2] => [1,3,3,1]
[6,4,7,1,3,5,8,2] => [1,2,4,1]
[1,6,7,3,4,5,8,2] => [3,4,1]
[2,6,7,4,5,8,1,3] => [3,3,2]
[2,6,7,4,8,1,3,5] => [3,2,3]
[5,3,6,1,2,7,8,4] => [1,2,4,1]
[3,5,2,6,1,7,8,4] => [2,2,3,1]
[3,5,2,6,7,4,8,1] => [2,3,2,1]
[5,2,3,6,7,4,8,1] => [1,4,2,1]
[5,2,3,6,1,7,8,4] => [1,3,3,1]
[5,2,6,1,3,7,8,4] => [1,2,4,1]
[4,2,6,7,3,5,8,1] => [1,3,3,1]
[6,3,7,2,4,5,8,1] => [1,2,4,1]
[3,5,7,2,8,1,4,6] => [3,2,3]
[3,7,2,4,8,1,5,6] => [2,3,3]
[7,2,4,6,8,1,3,5] => [1,4,3]
[7,1,3,4,6,8,2,5] => [1,5,2]
[3,7,2,4,6,8,1,5] => [2,4,2]
[3,5,7,2,6,8,1,4] => [3,3,2]
[6,3,7,2,5,8,1,4] => [1,2,3,2]
[6,3,5,7,2,8,1,4] => [1,3,2,2]
[6,3,5,7,2,4,8,1] => [1,3,3,1]
[6,2,4,5,7,3,8,1] => [1,4,2,1]
[6,2,4,5,1,7,8,3] => [1,3,3,1]
[4,7,1,2,5,6,8,3] => [2,5,1]
[2,6,7,5,8,1,3,4] => [3,2,3]
[4,6,7,1,2,5,8,3] => [3,4,1]
[5,6,2,4,7,3,8,1] => [2,3,2,1]
[5,4,2,6,7,3,8,1] => [1,1,3,2,1]
[5,4,2,6,1,7,8,3] => [1,1,2,3,1]
[1,5,4,6,2,7,8,3] => [2,2,3,1]
[5,6,4,1,2,7,8,3] => [2,1,4,1]
[6,4,5,1,2,7,8,3] => [1,2,4,1]
[6,3,5,1,7,8,2,4] => [1,2,3,2]
[6,5,7,2,8,1,3,4] => [1,2,2,3]
[6,5,7,1,3,4,8,2] => [1,2,4,1]
[5,6,4,7,1,3,8,2] => [2,2,3,1]
[5,4,6,3,1,7,8,2] => [1,2,1,3,1]
[7,5,3,2,4,8,1,6] => [1,1,1,3,2]
[8,4,5,2,6,1,3,7] => [1,2,2,3]
[8,5,4,2,1,6,3,7] => [1,1,1,1,2,2]
[8,5,3,4,1,6,2,7] => [1,1,2,2,2]
[8,4,5,3,1,6,2,7] => [1,2,1,2,2]
[7,5,4,2,1,8,3,6] => [1,1,1,1,2,2]
[7,5,4,2,1,6,8,3] => [1,1,1,1,3,1]
[7,4,5,3,1,6,8,2] => [1,2,1,3,1]
[7,4,3,5,6,1,8,2] => [1,1,3,2,1]
[5,6,3,7,4,1,8,2] => [2,2,1,2,1]
[5,6,7,3,1,4,8,2] => [3,1,3,1]
[6,7,3,4,1,5,8,2] => [2,2,3,1]
[6,7,4,2,1,5,8,3] => [2,1,1,3,1]
[5,6,7,3,1,8,2,4] => [3,1,2,2]
[5,6,3,7,8,1,2,4] => [2,3,3]
[5,6,3,7,2,4,8,1] => [2,2,3,1]
[5,6,7,2,3,8,1,4] => [3,3,2]
[7,4,5,2,8,1,3,6] => [1,2,2,3]
[6,7,3,2,4,8,1,5] => [2,1,3,2]
[7,6,4,2,1,3,8,5] => [1,1,1,1,3,1]
[7,6,3,4,1,2,8,5] => [1,1,2,3,1]
[7,6,3,2,4,1,8,5] => [1,1,1,2,2,1]
[6,7,3,2,5,1,8,4] => [2,1,2,2,1]
[6,5,3,2,7,8,1,4] => [1,1,1,3,2]
[6,5,3,2,7,4,8,1] => [1,1,1,2,2,1]
[6,4,5,2,7,3,8,1] => [1,2,2,2,1]
[6,4,5,2,7,8,1,3] => [1,2,3,2]
[7,4,5,2,6,1,8,3] => [1,2,2,2,1]
[7,4,5,6,1,2,8,3] => [1,3,3,1]
[7,5,6,2,1,3,8,4] => [1,2,1,3,1]
[6,7,3,5,1,2,8,4] => [2,2,3,1]
[5,6,7,4,1,2,8,3] => [3,1,3,1]
[5,6,7,2,4,1,8,3] => [3,2,2,1]
[5,6,4,2,7,8,1,3] => [2,1,3,2]
[6,5,7,2,1,8,3,4] => [1,2,1,2,2]
[6,5,7,2,1,4,8,3] => [1,2,1,3,1]
[5,4,6,7,3,1,8,2] => [1,3,1,2,1]
[5,7,8,3,6,4,1,2] => [3,2,1,2]
[3,7,8,5,6,4,1,2] => [3,2,1,2]
[3,7,8,5,6,1,4,2] => [3,2,2,1]
[1,7,8,5,6,3,4,2] => [3,2,2,1]
[1,7,5,8,6,3,4,2] => [2,2,1,2,1]
[3,7,5,8,6,1,4,2] => [2,2,1,2,1]
[3,7,5,8,6,4,1,2] => [2,2,1,1,2]
[5,7,3,8,6,4,1,2] => [2,2,1,1,2]
[7,3,8,5,6,4,1,2] => [1,2,2,1,2]
[7,3,5,8,6,4,1,2] => [1,3,1,1,2]
[3,5,7,8,6,4,1,2] => [4,1,1,2]
[1,5,7,8,6,3,4,2] => [4,1,2,1]
[1,5,7,8,3,6,4,2] => [4,2,1,1]
[3,5,7,8,1,6,4,2] => [4,2,1,1]
[5,3,7,8,1,6,4,2] => [1,3,2,1,1]
[7,3,5,8,6,1,4,2] => [1,3,1,2,1]
[7,3,8,5,6,1,4,2] => [1,2,2,2,1]
[7,8,1,5,6,3,4,2] => [2,3,2,1]
[7,1,8,5,6,3,4,2] => [1,2,2,2,1]
[7,1,5,8,6,3,4,2] => [1,3,1,2,1]
[5,1,7,8,3,6,4,2] => [1,3,2,1,1]
[3,1,7,8,5,6,4,2] => [1,3,2,1,1]
[1,3,7,8,5,6,4,2] => [4,2,1,1]
[3,1,7,5,8,6,4,2] => [1,2,2,1,1,1]
[5,1,7,3,8,6,4,2] => [1,2,2,1,1,1]
[7,1,5,3,8,6,4,2] => [1,2,2,1,1,1]
[7,1,5,8,3,6,4,2] => [1,3,2,1,1]
[7,8,1,5,3,6,4,2] => [2,2,2,1,1]
[7,8,3,5,1,6,4,2] => [2,2,2,1,1]
[7,3,5,8,1,6,4,2] => [1,3,2,1,1]
[5,3,7,1,8,6,4,2] => [1,2,2,1,1,1]
[3,5,7,1,8,6,4,2] => [3,2,1,1,1]
[1,7,5,3,8,6,4,2] => [2,1,2,1,1,1]
[5,7,3,1,8,6,4,2] => [2,1,2,1,1,1]
[5,7,3,8,6,1,4,2] => [2,2,1,2,1]
[3,7,5,8,1,6,4,2] => [2,2,2,1,1]
[1,7,5,8,3,6,4,2] => [2,2,2,1,1]
[1,7,8,5,3,6,4,2] => [3,1,2,1,1]
[3,7,8,5,1,6,4,2] => [3,1,2,1,1]
[5,7,8,3,6,1,4,2] => [3,2,2,1]
[5,7,8,6,3,1,4,2] => [3,1,1,2,1]
[7,5,8,6,1,3,4,2] => [1,2,1,3,1]
[5,7,8,1,6,3,4,2] => [3,2,2,1]
[5,7,8,1,3,6,4,2] => [3,3,1,1]
[3,7,8,1,5,6,4,2] => [3,3,1,1]
[1,7,8,3,5,6,4,2] => [3,3,1,1]
[1,7,3,8,5,6,4,2] => [2,2,2,1,1]
[3,7,1,8,5,6,4,2] => [2,2,2,1,1]
[5,7,1,8,3,6,4,2] => [2,2,2,1,1]
[5,7,1,8,6,3,4,2] => [2,2,1,2,1]
[7,5,1,8,6,3,4,2] => [1,1,2,1,2,1]
[7,5,8,1,6,3,4,2] => [1,2,2,2,1]
[7,8,5,1,6,3,4,2] => [2,1,2,2,1]
[7,8,5,1,3,6,4,2] => [2,1,3,1,1]
[7,5,8,1,3,6,4,2] => [1,2,3,1,1]
[7,5,1,8,3,6,4,2] => [1,1,2,2,1,1]
[7,5,1,3,8,6,4,2] => [1,1,3,1,1,1]
[5,7,1,3,8,6,4,2] => [2,3,1,1,1]
[3,7,1,5,8,6,4,2] => [2,3,1,1,1]
[1,7,3,5,8,6,4,2] => [2,3,1,1,1]
[1,5,3,7,8,6,4,2] => [2,3,1,1,1]
[3,5,1,7,8,6,4,2] => [2,3,1,1,1]
[5,3,1,7,8,6,4,2] => [1,1,3,1,1,1]
[7,3,1,5,8,6,4,2] => [1,1,3,1,1,1]
[7,3,1,8,5,6,4,2] => [1,1,2,2,1,1]
[7,3,8,1,5,6,4,2] => [1,2,3,1,1]
[7,8,3,1,5,6,4,2] => [2,1,3,1,1]
[7,8,1,3,5,6,4,2] => [2,4,1,1]
[7,1,8,3,5,6,4,2] => [1,2,3,1,1]
[7,1,3,8,5,6,4,2] => [1,3,2,1,1]
[7,1,3,5,8,6,4,2] => [1,4,1,1,1]
[3,1,5,7,8,6,4,2] => [1,4,1,1,1]
[5,7,3,4,6,8,1,2] => [2,4,2]
[5,7,3,4,8,6,1,2] => [2,3,1,2]
[5,7,3,4,8,1,6,2] => [2,3,2,1]
[5,7,3,4,1,8,6,2] => [2,2,2,1,1]
[5,7,3,4,1,6,8,2] => [2,2,3,1]
[5,7,3,4,6,1,2,8] => [2,3,3]
[7,3,5,6,1,2,8,4] => [1,3,3,1]
[5,7,3,1,4,6,2,8] => [2,1,3,2]
[5,7,3,1,4,6,8,2] => [2,1,4,1]
[5,7,3,1,4,8,6,2] => [2,1,3,1,1]
[5,7,3,1,4,8,2,6] => [2,1,3,2]
[5,3,7,4,1,2,8,6] => [1,2,1,3,1]
[5,3,7,4,1,2,6,8] => [1,2,1,4]
[5,3,7,1,4,2,6,8] => [1,2,2,3]
[5,3,7,1,4,2,8,6] => [1,2,2,2,1]
[3,7,5,1,2,8,6,4] => [2,1,3,1,1]
[7,8,3,5,1,2,6,4] => [2,2,3,1]
[7,3,8,5,1,2,6,4] => [1,2,1,3,1]
[7,3,5,8,1,2,6,4] => [1,3,3,1]
[3,7,5,1,2,6,4,8] => [2,1,3,2]
[3,7,5,1,2,6,8,4] => [2,1,4,1]
[6,1,4,3,5,2,8,7] => [1,2,2,2,1]
[2,5,7,3,8,4,1,6] => [3,2,1,2]
[5,4,7,8,6,1,3,2] => [1,3,1,2,1]
[7,5,6,2,8,3,1,4] => [1,2,2,1,2]
[4,7,2,5,8,3,1,6] => [2,3,1,2]
[6,2,4,5,1,3,8,7] => [1,3,3,1]
[5,1,4,6,3,2,8,7] => [1,3,1,2,1]
[3,5,6,2,4,1,8,7] => [3,2,2,1]
[3,8,6,7,5,4,1,2] => [2,2,1,1,2]
[6,2,7,8,3,4,1,5] => [1,3,2,2]
[2,5,3,4,8,1,7,6] => [2,3,2,1]
[8,7,1,2,5,3,4,6] => [1,1,3,3]
[5,1,8,2,3,4,7,6] => [1,2,4,1]
[5,4,7,6,2,8,1,3] => [1,2,1,2,2]
[3,7,8,1,5,4,6,2] => [3,2,2,1]
[7,1,3,4,6,8,5,2] => [1,5,1,1]
[8,3,6,5,7,1,4,2] => [1,2,2,2,1]
[5,8,7,1,4,6,2,3] => [2,1,3,2]
[4,7,6,1,8,3,5,2] => [2,1,2,2,1]
[4,7,2,6,3,8,5,1] => [2,2,2,1,1]
[2,1,8,4,6,7,3,5] => [1,2,3,2]
[4,7,8,6,3,1,2,5] => [3,1,1,3]
[3,8,1,5,6,7,2,4] => [2,4,2]
[6,7,2,4,8,5,3,1] => [2,3,1,1,1]
[2,8,3,6,7,5,1,4] => [2,3,1,2]
[8,2,1,7,6,3,5,4] => [1,1,2,1,2,1]
[3,2,4,5,8,1,7,6] => [1,4,2,1]
[7,4,6,3,2,1,8,5] => [1,2,1,1,2,1]
[4,7,3,2,1,8,6,5] => [2,1,1,2,1,1]
[6,4,7,5,2,3,8,1] => [1,2,1,3,1]
[6,4,8,1,7,3,2,5] => [1,2,2,1,2]
[4,8,7,2,3,1,5,6] => [2,1,2,3]
[4,2,3,1,8,7,5,6] => [1,2,2,1,2]
[7,6,8,1,3,5,2,4] => [1,2,3,2]
[6,7,5,2,3,1,8,4] => [2,1,2,2,1]
[4,7,2,6,5,1,8,3] => [2,2,1,2,1]
[6,4,2,1,8,5,7,3] => [1,1,1,2,2,1]
[7,2,1,5,6,8,4,3] => [1,1,4,1,1]
[8,7,2,6,4,1,5,3] => [1,1,2,1,2,1]
[6,7,8,2,5,3,1,4] => [3,2,1,2]
[2,1,7,3,6,8,5,4] => [1,2,3,1,1]
[2,1,5,7,8,4,6,3] => [1,4,2,1]
[2,5,7,8,3,6,1,4] => [4,2,2]
[6,4,1,5,7,2,8,3] => [1,1,3,2,1]
[7,4,8,1,2,5,6,3] => [1,2,4,1]
[4,2,7,8,6,3,5,1] => [1,3,1,2,1]
[6,1,7,4,3,2,8,5] => [1,2,1,1,2,1]
[6,8,3,4,2,1,7,5] => [2,2,1,2,1]
[4,2,6,1,5,7,8,3] => [1,2,4,1]
[2,4,6,7,3,5,8,1] => [4,3,1]
[6,5,8,3,7,4,1,2] => [1,2,2,1,2]
[7,1,4,8,3,5,6,2] => [1,3,3,1]
[6,8,7,5,3,4,1,2] => [2,1,1,2,2]
[4,8,6,3,1,5,7,2] => [2,1,1,3,1]
[3,4,8,2,5,7,6,1] => [3,3,1,1]
[3,5,7,2,8,6,1,4] => [3,2,1,2]
[2,5,7,4,8,6,1,3] => [3,2,1,2]
[1,6,3,7,5,2,8,4] => [2,2,1,2,1]
[2,6,3,7,5,1,8,4] => [2,2,1,2,1]
[2,6,4,8,7,5,1,3] => [2,2,1,1,2]
[6,3,7,2,8,5,1,4] => [1,2,2,1,2]
[3,6,2,5,8,7,1,4] => [2,3,1,2]
[5,2,8,4,7,6,1,3] => [1,2,2,1,2]
[7,2,4,8,6,5,1,3] => [1,3,1,1,2]
[6,2,4,8,7,5,1,3] => [1,3,1,1,2]
[2,4,5,8,7,6,1,3] => [4,1,1,2]
[1,3,4,6,2,8,7,5] => [4,2,1,1]
[5,2,3,6,1,8,7,4] => [1,3,2,1,1]
[4,2,7,3,8,1,6,5] => [1,2,2,2,1]
[2,5,1,4,7,3,8,6] => [2,3,2,1]
[6,1,3,8,7,2,5,4] => [1,3,1,2,1]
[3,1,5,6,2,8,7,4] => [1,3,2,1,1]
[1,2,4,6,3,8,7,5] => [4,2,1,1]
[4,1,5,2,8,7,6,3] => [1,2,2,1,1,1]
[7,1,4,2,8,6,5,3] => [1,2,2,1,1,1]
[5,1,3,7,2,8,6,4] => [1,3,2,1,1]
[4,1,5,3,2,8,7,6] => [1,2,1,2,1,1]
[2,6,1,4,3,8,7,5] => [2,2,2,1,1]
[7,2,3,5,1,8,6,4] => [1,3,2,1,1]
[7,3,4,1,8,6,5,2] => [1,2,2,1,1,1]
[3,4,5,1,8,7,6,2] => [3,2,1,1,1]
[1,4,5,2,8,7,6,3] => [3,2,1,1,1]
[1,6,4,2,8,7,5,3] => [2,1,2,1,1,1]
[5,6,3,1,8,7,4,2] => [2,1,2,1,1,1]
[7,4,2,5,1,8,6,3] => [1,1,2,2,1,1]
[5,3,6,2,8,1,7,4] => [1,2,2,2,1]
[4,6,2,7,5,1,8,3] => [2,2,1,2,1]
[4,5,2,6,1,8,7,3] => [2,2,2,1,1]
[1,5,3,6,2,8,7,4] => [2,2,2,1,1]
[1,5,8,3,2,7,6,4] => [3,1,2,1,1]
[2,5,8,3,1,7,6,4] => [3,1,2,1,1]
[4,5,8,2,1,7,6,3] => [3,1,2,1,1]
[3,6,2,5,1,4,8,7] => [2,2,3,1]
[5,2,8,4,1,3,7,6] => [1,2,1,3,1]
[2,4,8,7,1,3,6,5] => [3,1,3,1]
[2,5,8,1,3,7,6,4] => [3,3,1,1]
[2,3,8,1,4,7,6,5] => [3,3,1,1]
[1,3,8,2,4,7,6,5] => [3,3,1,1]
[3,5,2,1,7,4,8,6] => [2,1,2,2,1]
[6,3,1,7,2,8,5,4] => [1,1,2,2,1,1]
[7,5,1,2,8,6,4,3] => [1,1,3,1,1,1]
[4,6,1,2,8,7,5,3] => [2,3,1,1,1]
[1,6,2,3,8,7,5,4] => [2,3,1,1,1]
[1,5,2,3,8,7,6,4] => [2,3,1,1,1]
[4,5,1,2,8,7,6,3] => [2,3,1,1,1]
[6,4,1,2,8,7,5,3] => [1,1,3,1,1,1]
[7,4,1,2,8,6,5,3] => [1,1,3,1,1,1]
[5,3,1,7,2,8,6,4] => [1,1,2,2,1,1]
[5,2,8,1,3,7,6,4] => [1,2,3,1,1]
[4,1,2,8,3,7,6,5] => [1,3,2,1,1]
[4,7,5,6,8,3,1,2] => [2,3,1,2]
[8,6,4,7,5,3,1,2] => [1,1,2,1,1,2]
[1,6,3,7,5,8,4,2] => [2,2,2,1,1]
[1,3,7,4,5,8,6,2] => [3,3,1,1]
[7,2,6,3,4,1,5,8] => [1,2,2,3]
[8,3,7,4,6,5,1,2] => [1,2,2,1,2]
[6,8,4,7,5,3,1,2] => [2,2,1,1,2]
[4,8,7,5,6,3,1,2] => [2,1,2,1,2]
[3,8,7,6,4,5,1,2] => [2,1,1,2,2]
[1,6,5,2,8,3,7,4] => [2,1,2,2,1]
[8,6,5,2,1,4,3,7] => [1,1,1,1,2,2]
[2,7,6,3,1,4,5,8] => [2,1,1,4]
[6,8,5,3,2,1,4,7] => [2,1,1,1,3]
[2,7,6,4,5,1,3,8] => [2,1,2,3]
[5,7,2,6,4,1,3,8] => [2,2,1,3]
[6,1,3,7,5,8,4,2] => [1,3,2,1,1]
[4,1,7,3,6,8,5,2] => [1,2,3,1,1]
[8,1,6,4,3,7,5,2] => [1,2,1,2,1,1]
[2,1,7,4,8,6,3,5] => [1,2,2,1,2]
[1,8,6,3,7,5,4,2] => [2,1,2,1,1,1]
[1,8,2,7,3,6,5,4] => [2,2,2,1,1]
[2,1,3,8,4,7,5,6] => [1,3,2,2]
[8,1,2,7,4,3,6,5] => [1,3,1,2,1]
[5,3,1,6,8,4,7,2] => [1,1,3,2,1]
[6,2,8,7,1,4,3,5] => [1,2,1,2,2]
[8,7,2,1,5,4,3,6] => [1,1,1,2,1,2]
[8,2,3,1,4,6,5,7] => [1,2,3,2]
[2,4,8,3,1,5,6,7] => [3,1,4]
[3,4,2,7,1,5,6,8] => [2,2,4]
[4,7,3,8,2,1,5,6] => [2,2,1,3]
[5,2,7,3,1,4,6,8] => [1,2,1,4]
[8,3,7,2,1,5,4,6] => [1,2,1,2,2]
[1,3,7,2,8,4,6,5] => [3,2,2,1]
[1,4,2,5,8,6,7,3] => [2,3,2,1]
[6,5,3,8,2,1,4,7] => [1,1,2,1,3]
[2,6,4,5,7,1,3,8] => [2,3,3]
[5,4,6,2,7,1,3,8] => [1,2,2,3]
[7,6,3,1,8,4,5,2] => [1,1,1,2,2,1]
[1,7,5,8,6,4,3,2] => [2,2,1,1,1,1]
[6,5,1,2,8,3,7,4] => [1,1,3,2,1]
[8,6,1,4,3,7,5,2] => [1,1,2,2,1,1]
[6,8,4,1,3,7,5,2] => [2,1,3,1,1]
[6,5,7,1,3,8,4,2] => [1,2,3,1,1]
[5,8,3,1,7,4,6,2] => [2,1,2,2,1]
[8,3,1,7,5,4,6,2] => [1,1,2,1,2,1]
[1,3,8,7,4,6,5,2] => [3,1,2,1,1]
[1,2,8,7,6,3,5,4] => [3,1,1,2,1]
[2,3,1,8,7,4,5,6] => [2,2,1,3]
[2,4,1,8,5,7,3,6] => [2,2,2,2]
[5,8,2,1,7,6,3,4] => [2,1,2,1,2]
[6,2,7,1,8,5,3,4] => [1,2,2,1,2]
[8,7,1,6,5,4,3,2] => [1,1,2,1,1,1,1]
[7,1,8,3,6,5,4,2] => [1,2,2,1,1,1]
[4,1,8,7,5,6,3,2] => [1,2,1,2,1,1]
[2,1,7,8,4,6,3,5] => [1,3,2,2]
[3,5,8,7,2,6,4,1] => [3,1,2,1,1]
[5,8,2,7,1,6,4,3] => [2,2,2,1,1]
[2,1,6,4,5,8,3,7] => [1,2,3,2]
[8,6,3,7,5,2,1,4] => [1,1,2,1,1,2]
[4,6,3,8,5,2,1,7] => [2,2,1,1,2]
[4,6,3,7,5,2,8,1] => [2,2,1,2,1]
[3,5,7,8,2,6,1,4] => [4,2,2]
[5,6,2,4,1,3,8,7] => [2,2,3,1]
[7,6,3,8,5,2,4,1] => [1,1,2,1,2,1]
[8,2,3,4,6,1,5,7] => [1,4,3]
[7,2,3,4,6,1,8,5] => [1,4,2,1]
[8,2,3,4,7,5,1,6] => [1,4,1,2]
[7,2,3,4,6,8,5,1] => [1,5,1,1]
[4,2,3,6,1,5,8,7] => [1,3,3,1]
[4,8,3,7,5,1,6,2] => [2,2,1,2,1]
[5,2,3,4,7,8,6,1] => [1,5,1,1]
[8,2,3,4,7,1,6,5] => [1,4,2,1]
[5,2,3,4,8,7,1,6] => [1,4,1,2]
[5,2,3,4,6,8,1,7] => [1,5,2]
[4,2,8,5,7,6,1,3] => [1,2,2,1,2]
[3,7,6,4,5,1,8,2] => [2,1,2,2,1]
[3,8,6,4,5,1,2,7] => [2,1,2,3]
[4,7,3,6,5,8,2,1] => [2,2,2,1,1]
[4,8,3,7,5,2,1,6] => [2,2,1,1,2]
[8,7,3,6,5,1,2,4] => [1,1,2,1,3]
[8,2,7,5,1,6,3,4] => [1,2,1,2,2]
[4,2,7,5,8,6,3,1] => [1,2,2,1,1,1]
[5,8,1,7,3,6,4,2] => [2,2,2,1,1]
[5,2,7,8,4,6,3,1] => [1,3,2,1,1]
[5,2,8,3,7,6,1,4] => [1,2,2,1,2]
[8,2,7,3,1,6,4,5] => [1,2,1,2,2]
[6,8,3,2,5,7,1,4] => [2,1,3,2]
[6,2,3,4,7,5,8,1] => [1,4,2,1]
[6,2,3,4,8,5,1,7] => [1,4,1,2]
[8,2,3,4,1,7,5,6] => [1,3,2,2]
[6,2,3,4,1,8,5,7] => [1,3,2,2]
[6,2,3,4,8,7,5,1] => [1,4,1,1,1]
[6,8,3,1,5,7,4,2] => [2,1,3,1,1]
[7,2,3,4,1,8,6,5] => [1,3,2,1,1]
[7,2,3,4,1,5,8,6] => [1,3,3,1]
[1,2,3,4,8,7,5,6] => [5,1,2]
[1,2,8,5,3,4,6,7] => [3,1,4]
[1,8,4,2,3,5,6,7] => [2,1,5]
[8,6,7,4,1,5,3,2] => [1,2,1,2,1,1]
[4,8,6,7,5,1,3,2] => [2,2,1,2,1]
[7,1,8,4,6,5,2,3] => [1,2,2,1,2]
[8,7,1,5,4,6,2,3] => [1,1,2,2,2]
[8,5,7,1,4,6,3,2] => [1,2,3,1,1]
[6,4,8,5,1,7,3,2] => [1,2,1,2,1,1]
[4,8,5,7,1,6,3,2] => [2,2,2,1,1]
[8,4,7,1,5,6,3,2] => [1,2,3,1,1]
[8,7,1,4,5,6,3,2] => [1,1,4,1,1]
[8,7,4,5,6,1,3,2] => [1,1,3,2,1]
[8,7,5,1,4,6,2,3] => [1,1,1,3,2]
[8,7,2,5,1,4,6,3] => [1,1,2,3,1]
[4,8,7,2,5,1,6,3] => [2,1,2,2,1]
[1,6,4,8,5,2,7,3] => [2,2,1,2,1]
[8,7,1,4,2,5,6,3] => [1,1,2,3,1]
[8,7,5,1,2,4,6,3] => [1,1,1,4,1]
[7,1,8,5,6,2,3,4] => [1,2,2,3]
[3,8,7,1,2,5,6,4] => [2,1,4,1]
[3,5,8,7,1,2,6,4] => [3,1,3,1]
[2,3,8,5,7,1,6,4] => [3,2,2,1]
[3,8,7,1,5,6,2,4] => [2,1,3,2]
[3,5,8,7,1,6,2,4] => [3,1,2,2]
[2,3,8,6,7,5,1,4] => [3,2,1,2]
[3,2,8,6,7,5,1,4] => [1,2,2,1,2]
[4,1,8,6,2,7,5,3] => [1,2,1,2,1,1]
[8,7,4,1,2,6,5,3] => [1,1,1,3,1,1]
[1,3,8,6,7,5,2,4] => [3,2,1,2]
[5,7,1,8,2,6,3,4] => [2,2,2,2]
[2,8,7,1,5,6,3,4] => [2,1,3,2]
[8,7,1,5,2,4,6,3] => [1,1,2,3,1]
[7,1,8,2,4,6,5,3] => [1,2,3,1,1]
[1,6,2,8,4,7,5,3] => [2,2,2,1,1]
[1,3,8,5,7,2,6,4] => [3,2,2,1]
[1,8,3,7,2,5,6,4] => [2,2,3,1]
[2,8,7,1,3,5,6,4] => [2,1,4,1]
[5,7,1,8,2,3,6,4] => [2,2,3,1]
[7,1,8,2,3,5,6,4] => [1,2,4,1]
[8,6,3,7,4,1,5,2] => [1,1,2,1,2,1]
[4,2,8,6,7,5,1,3] => [1,2,2,1,2]
[8,4,2,7,5,6,1,3] => [1,1,2,2,2]
[4,8,3,6,1,7,5,2] => [2,2,2,1,1]
[8,3,4,7,5,1,6,2] => [1,3,1,2,1]
[8,3,7,4,5,1,6,2] => [1,2,2,2,1]
[8,7,4,2,5,6,1,3] => [1,1,1,3,2]
[8,7,5,1,6,2,3,4] => [1,1,1,2,3]
[8,7,2,4,1,5,6,3] => [1,1,2,3,1]
[4,8,6,1,7,2,5,3] => [2,1,2,2,1]
[4,7,1,8,2,6,5,3] => [2,2,2,1,1]
[4,2,8,6,7,1,5,3] => [1,2,2,2,1]
[8,7,4,1,2,5,6,3] => [1,1,1,4,1]
[8,2,7,1,6,3,4,5] => [1,2,2,3]
[8,2,7,1,3,6,4,5] => [1,2,3,2]
[2,8,3,6,7,1,5,4] => [2,3,2,1]
[8,7,2,1,3,5,6,4] => [1,1,1,4,1]
[1,8,7,2,3,6,4,5] => [2,1,3,2]
[1,8,7,2,6,3,4,5] => [2,1,2,3]
[8,2,7,3,6,1,4,5] => [1,2,2,3]
[1,8,7,3,6,2,4,5] => [2,1,2,3]
[1,8,2,7,6,3,4,5] => [2,2,1,3]
[8,2,7,4,1,5,6,3] => [1,2,1,3,1]
[8,2,1,7,5,6,3,4] => [1,1,2,2,2]
[8,7,3,1,5,6,2,4] => [1,1,1,3,2]
[2,8,7,3,5,6,1,4] => [2,1,3,2]
[8,3,1,6,7,5,2,4] => [1,1,3,1,2]
[8,5,2,1,6,7,4,3] => [1,1,1,3,1,1]
[1,5,2,8,6,7,4,3] => [2,2,2,1,1]
[1,2,8,6,7,5,3,4] => [3,2,1,2]
[1,8,3,6,7,5,2,4] => [2,3,1,2]
[8,2,3,6,7,5,1,4] => [1,4,1,2]
[8,3,7,2,5,6,1,4] => [1,2,3,2]
[8,1,3,7,5,6,2,4] => [1,3,2,2]
[8,4,1,2,7,5,6,3] => [1,1,3,2,1]
[8,1,4,2,6,7,5,3] => [1,2,3,1,1]
[1,2,8,6,7,3,5,4] => [3,2,2,1]
[8,1,2,7,3,6,4,5] => [1,3,2,2]
[8,1,7,3,6,2,4,5] => [1,2,2,3]
[8,1,7,2,6,3,4,5] => [1,2,2,3]
[8,1,7,2,3,6,4,5] => [1,2,3,2]
[8,1,3,7,2,5,6,4] => [1,3,3,1]
[1,8,3,6,7,2,5,4] => [2,3,2,1]
[1,7,8,2,3,6,5,4] => [3,3,1,1]
[8,3,7,1,2,5,6,4] => [1,2,4,1]
[8,7,1,2,3,6,4,5] => [1,1,4,2]
[2,8,5,7,4,6,3,1] => [2,2,2,1,1]
[3,1,8,5,7,4,2,6] => [1,2,2,1,2]
[8,3,5,7,4,2,6,1] => [1,3,1,2,1]
[8,3,6,2,4,5,7,1] => [1,2,4,1]
[2,8,6,4,3,5,7,1] => [2,1,1,3,1]
[2,6,8,3,5,4,7,1] => [3,2,2,1]
[2,7,5,8,4,6,3,1] => [2,2,2,1,1]
[8,4,2,7,6,1,3,5] => [1,1,2,1,3]
[4,8,1,7,6,3,2,5] => [2,2,1,1,2]
[4,1,7,6,2,3,5,8] => [1,2,1,4]
[3,7,1,8,6,2,5,4] => [2,2,1,2,1]
[3,1,7,6,4,5,2,8] => [1,2,1,2,2]
[3,1,7,5,8,4,2,6] => [1,2,2,1,2]
[3,1,6,8,7,5,2,4] => [1,3,1,1,2]
[6,3,8,7,5,2,4,1] => [1,2,1,1,2,1]
[7,3,5,8,4,2,6,1] => [1,3,1,2,1]
[7,3,6,4,2,8,5,1] => [1,2,1,2,1,1]
[7,8,3,6,2,5,4,1] => [2,2,2,1,1]
[7,4,8,2,1,6,3,5] => [1,2,1,2,2]
[8,7,4,6,3,2,5,1] => [1,1,2,1,2,1]
[7,8,5,2,1,4,3,6] => [2,1,1,2,2]
[7,5,2,3,1,4,8,6] => [1,1,2,3,1]
[7,4,6,2,3,8,1,5] => [1,2,3,2]
[6,4,2,5,8,3,7,1] => [1,1,3,2,1]
[4,6,5,8,1,3,2,7] => [2,2,2,2]
[4,7,1,5,3,8,2,6] => [2,2,2,2]
[4,7,8,1,3,6,2,5] => [3,3,2]
[5,7,1,3,4,6,2,8] => [2,4,2]
[5,7,1,4,2,3,6,8] => [2,2,4]
[5,8,1,3,2,4,6,7] => [2,2,4]
[4,8,6,1,3,2,7,5] => [2,1,2,2,1]
[8,4,6,2,1,3,7,5] => [1,2,1,3,1]
[5,4,8,7,2,3,6,1] => [1,2,1,3,1]
[5,4,8,7,3,1,2,6] => [1,2,1,1,3]
[6,8,3,7,2,5,4,1] => [2,2,2,1,1]
[5,4,6,8,2,3,7,1] => [1,3,3,1]
[5,7,4,2,8,3,6,1] => [2,1,2,2,1]
[6,4,7,2,1,8,3,5] => [1,2,1,2,2]
[6,5,3,4,1,2,8,7] => [1,1,2,3,1]
[6,8,5,4,1,3,2,7] => [2,1,1,2,2]
[6,4,3,7,1,5,2,8] => [1,1,2,2,2]
[7,4,2,6,1,5,3,8] => [1,1,2,2,2]
[7,4,2,5,6,1,3,8] => [1,1,3,3]
[6,4,2,8,1,5,7,3] => [1,1,2,3,1]
[6,3,7,8,2,5,1,4] => [1,3,2,2]
[7,3,5,6,4,2,1,8] => [1,3,1,1,2]
[7,4,3,1,5,6,2,8] => [1,1,1,3,2]
[7,4,5,2,6,1,3,8] => [1,2,2,3]
[5,3,7,2,8,6,4,1] => [1,2,2,1,1,1]
[5,3,8,2,6,7,4,1] => [1,2,3,1,1]
[6,3,8,2,5,4,7,1] => [1,2,2,2,1]
[6,4,8,2,1,5,7,3] => [1,2,1,3,1]
[6,4,3,1,8,2,7,5] => [1,1,1,2,2,1]
[5,3,7,8,2,6,4,1] => [1,3,2,1,1]
[4,7,8,5,6,3,2,1] => [3,2,1,1,1]
[5,3,7,6,8,2,4,1] => [1,2,2,2,1]
[5,7,8,4,6,2,1,3] => [3,2,1,2]
[5,8,4,3,6,7,1,2] => [2,1,3,2]
[5,8,6,4,7,2,1,3] => [2,1,2,1,2]
[5,3,8,6,2,7,4,1] => [1,2,1,2,1,1]
[4,7,5,8,6,3,2,1] => [2,2,1,1,1,1]
[4,8,6,7,5,3,2,1] => [2,2,1,1,1,1]
[6,3,8,7,2,4,1,5] => [1,2,1,2,2]
[5,3,8,7,2,6,4,1] => [1,2,1,2,1,1]
[5,3,8,6,7,2,4,1] => [1,2,2,2,1]
[5,3,7,8,6,2,4,1] => [1,3,1,2,1]
[5,7,6,4,8,2,1,3] => [2,1,2,1,2]
[5,8,4,6,7,2,1,3] => [2,3,1,2]
[6,4,2,8,1,7,3,5] => [1,1,2,2,2]
[6,5,2,4,3,7,8,1] => [1,1,2,3,1]
[5,4,6,2,8,7,1,3] => [1,2,2,1,2]
[5,6,3,8,7,2,4,1] => [2,2,1,2,1]
[6,7,4,3,1,8,2,5] => [2,1,1,2,2]
[5,7,4,3,6,8,1,2] => [2,1,3,2]
[5,7,3,8,6,2,4,1] => [2,2,1,2,1]
[4,5,8,6,7,3,2,1] => [3,2,1,1,1]
[4,6,8,5,7,3,2,1] => [3,2,1,1,1]
[5,6,8,3,7,2,4,1] => [3,2,2,1]
[5,4,6,8,2,7,1,3] => [1,3,2,2]
[3,6,7,8,2,5,1,4] => [4,2,2]
[5,7,8,2,6,4,1,3] => [3,2,1,2]
[1,7,4,8,6,2,3,5] => [2,2,1,3]
[3,6,2,5,7,8,1,4] => [2,4,2]
[5,2,7,4,6,8,1,3] => [1,2,3,2]
[5,3,6,7,1,8,4,2] => [1,3,2,1,1]
[4,2,5,6,7,1,8,3] => [1,4,2,1]
[7,2,6,3,5,1,8,4] => [1,2,2,2,1]
[8,1,3,6,7,2,4,5] => [1,4,3]
[8,1,4,2,5,6,3,7] => [1,2,3,2]
[8,1,4,2,7,5,3,6] => [1,2,2,1,2]
[6,1,3,8,2,7,4,5] => [1,3,2,2]
[3,6,2,4,1,7,8,5] => [2,2,3,1]
[6,2,7,3,1,5,8,4] => [1,2,1,3,1]
[6,3,4,1,8,5,7,2] => [1,2,2,2,1]
[7,3,4,1,5,8,6,2] => [1,2,3,1,1]
[1,7,5,2,8,6,3,4] => [2,1,2,1,2]
[3,7,4,1,8,5,6,2] => [2,1,2,2,1]
[5,6,3,1,7,8,4,2] => [2,1,3,1,1]
[3,6,4,8,1,5,7,2] => [2,2,3,1]
[1,5,8,4,2,6,3,7] => [3,1,2,2]
[3,5,7,4,1,6,8,2] => [3,1,3,1]
[3,5,7,1,2,6,4,8] => [3,3,2]
[4,5,1,8,2,3,7,6] => [2,2,3,1]
[4,7,1,8,2,6,3,5] => [2,2,2,2]
[6,3,1,8,5,2,4,7] => [1,1,2,1,3]
[3,5,2,1,8,4,6,7] => [2,1,2,3]
[7,5,1,2,3,8,6,4] => [1,1,4,1,1]
[6,4,1,2,7,3,8,5] => [1,1,3,2,1]
[5,2,6,1,3,4,8,7] => [1,2,4,1]
[7,8,4,5,1,3,2,6] => [2,2,2,2]
[6,7,1,3,2,5,4,8] => [2,2,2,2]
[6,7,1,4,3,5,2,8] => [2,2,2,2]
[7,8,2,3,1,5,4,6] => [2,2,2,2]
[7,8,2,4,3,5,1,6] => [2,2,2,2]
[7,8,2,4,1,5,3,6] => [2,2,2,2]
[1,4,2,6,5,7,3,8] => [2,2,2,2]
[5,6,1,4,2,7,3,8] => [2,2,2,2]
[6,7,2,4,1,5,3,8] => [2,2,2,2]
[6,7,2,4,3,5,1,8] => [2,2,2,2]
[6,7,2,3,1,5,4,8] => [2,2,2,2]
[6,7,3,5,4,8,1,2] => [2,2,2,2]
[2,4,1,6,5,7,3,8] => [2,2,2,2]
[1,5,2,6,4,7,3,8] => [2,2,2,2]
[2,5,1,6,4,7,3,8] => [2,2,2,2]
[3,6,5,7,4,8,1,2] => [2,2,2,2]
[5,6,2,4,3,7,1,8] => [2,2,2,2]
[4,5,2,6,1,7,3,8] => [2,2,2,2]
[4,5,1,6,3,7,2,8] => [2,2,2,2]
[4,5,3,6,1,7,2,8] => [2,2,2,2]
[5,6,3,4,1,7,2,8] => [2,2,2,2]
[5,6,1,4,3,7,2,8] => [2,2,2,2]
[5,6,1,3,2,7,4,8] => [2,2,2,2]
[5,6,4,7,1,3,2,8] => [2,2,2,2]
[6,7,4,5,1,3,2,8] => [2,2,2,2]
[6,7,5,8,1,3,2,4] => [2,2,2,2]
[4,5,1,3,2,7,6,8] => [2,2,2,2]
[4,6,5,7,1,3,2,8] => [2,2,2,2]
[4,6,1,3,2,7,5,8] => [2,2,2,2]
[1,4,3,6,2,7,5,8] => [2,2,2,2]
[3,4,1,6,5,7,2,8] => [2,2,2,2]
[4,5,2,3,1,7,6,8] => [2,2,2,2]
[4,5,3,7,6,8,1,2] => [2,2,2,2]
[4,6,5,7,3,8,1,2] => [2,2,2,2]
[4,6,5,7,2,3,1,8] => [2,2,2,2]
[3,5,4,6,1,7,2,8] => [2,2,2,2]
[3,5,1,6,4,7,2,8] => [2,2,2,2]
[1,5,3,6,4,7,2,8] => [2,2,2,2]
[1,5,3,6,2,7,4,8] => [2,2,2,2]
[3,5,2,6,1,7,4,8] => [2,2,2,2]
[3,5,2,6,4,7,1,8] => [2,2,2,2]
[3,4,2,6,1,7,5,8] => [2,2,2,2]
[4,6,2,3,1,7,5,8] => [2,2,2,2]
[2,4,3,6,1,7,5,8] => [2,2,2,2]
[2,5,3,6,4,7,1,8] => [2,2,2,2]
[2,5,3,6,1,7,4,8] => [2,2,2,2]
[4,6,2,7,3,5,8,1] => [2,2,3,1]
[3,6,2,7,5,4,8,1] => [2,2,1,2,1]
[4,6,1,7,3,8,2,5] => [2,2,2,2]
[5,2,6,7,4,3,8,1] => [1,3,1,2,1]
[3,5,2,7,6,4,8,1] => [2,2,1,2,1]
[1,5,7,4,3,8,2,6] => [3,1,2,2]
[2,5,7,3,1,8,6,4] => [3,1,2,1,1]
[1,5,7,2,8,3,6,4] => [3,2,2,1]
[2,5,7,3,1,8,4,6] => [3,1,2,2]
[1,5,7,3,4,8,2,6] => [3,3,2]
[5,2,6,7,1,8,4,3] => [1,3,2,1,1]
[1,3,7,2,8,5,6,4] => [3,2,2,1]
[2,3,1,5,8,4,7,6] => [2,3,2,1]
[2,1,5,6,8,4,3,7] => [1,4,1,2]
[2,3,1,5,8,6,4,7] => [2,3,1,2]
[2,4,7,3,1,8,5,6] => [3,1,2,2]
[1,3,7,2,8,5,4,6] => [3,2,1,2]
[2,3,1,6,8,5,4,7] => [2,3,1,2]
[4,6,2,7,1,8,3,5] => [2,2,2,2]
[1,5,4,3,6,8,2,7] => [2,1,3,2]
[1,6,4,5,7,8,3,2] => [2,4,1,1]
[2,5,1,7,8,6,3,4] => [2,3,1,2]
[1,3,6,2,8,7,4,5] => [3,2,1,2]
[2,1,5,6,8,4,7,3] => [1,4,2,1]
[2,4,1,7,8,5,6,3] => [2,3,2,1]
[1,3,6,2,8,4,7,5] => [3,2,2,1]
[2,1,5,6,8,7,3,4] => [1,4,1,2]
[3,6,5,2,7,8,4,1] => [2,1,3,1,1]
[6,2,4,7,5,8,3,1] => [1,3,2,1,1]
[1,5,7,8,4,2,6,3] => [4,1,2,1]
[3,7,4,1,8,6,2,5] => [2,1,2,1,2]
[3,4,6,8,5,7,2,1] => [4,2,1,1]
[4,2,5,7,3,1,8,6] => [1,3,1,2,1]
[4,5,6,2,8,7,3,1] => [3,2,1,1,1]
[2,5,6,8,1,7,4,3] => [4,2,1,1]
[4,5,6,1,8,7,3,2] => [3,2,1,1,1]
[4,5,6,3,1,8,7,2] => [3,1,2,1,1]
[4,3,6,2,1,7,5,8] => [1,2,1,2,2]
[4,6,3,2,1,7,5,8] => [2,1,1,2,2]
[4,6,3,1,7,5,2,8] => [2,1,2,1,2]
[4,5,3,7,6,1,8,2] => [2,2,1,2,1]
[4,5,1,7,3,8,6,2] => [2,2,2,1,1]
[2,5,7,1,4,3,8,6] => [3,2,2,1]
[4,3,5,7,6,1,8,2] => [1,3,1,2,1]
[4,3,6,1,7,5,2,8] => [1,2,2,1,2]
[4,3,2,6,1,7,5,8] => [1,1,2,2,2]
[5,3,2,1,6,4,7,8] => [1,1,1,2,3]
[5,3,1,6,2,7,4,8] => [1,1,2,2,2]
[5,1,6,3,2,7,4,8] => [1,2,1,2,2]
[2,6,1,4,7,5,3,8] => [2,3,1,2]
[3,6,1,7,4,2,5,8] => [2,2,1,3]
[4,6,1,7,5,3,2,8] => [2,2,1,1,2]
[5,1,6,3,7,4,2,8] => [1,2,2,1,2]
[5,3,6,4,2,1,7,8] => [1,2,1,1,3]
[5,3,2,6,4,1,7,8] => [1,1,2,1,3]
[5,2,1,6,3,7,4,8] => [1,1,2,2,2]
[5,2,6,3,1,7,4,8] => [1,2,1,2,2]
[4,2,6,3,1,7,8,5] => [1,2,1,3,1]
[3,6,2,1,7,4,5,8] => [2,1,2,3]
[3,6,2,7,4,1,5,8] => [2,2,1,3]
[3,5,7,2,8,6,4,1] => [3,2,1,1,1]
[2,4,7,1,3,6,5,8] => [3,3,2]
[2,6,1,3,7,5,4,8] => [2,3,1,2]
[3,6,1,7,5,2,4,8] => [2,2,1,3]
[5,1,6,2,7,4,3,8] => [1,2,2,1,2]
[5,2,6,4,3,1,7,8] => [1,2,1,1,3]
[5,2,1,6,4,3,7,8] => [1,1,2,1,3]
[5,4,2,1,6,3,7,8] => [1,1,1,2,3]
[5,4,2,6,3,1,7,8] => [1,1,2,1,3]
[5,4,1,6,2,7,3,8] => [1,1,2,2,2]
[5,1,6,4,2,7,3,8] => [1,2,1,2,2]
[3,6,1,7,5,4,8,2] => [2,2,1,2,1]
[2,6,1,5,4,3,7,8] => [2,2,1,3]
[3,1,6,2,5,4,7,8] => [1,2,2,3]
[5,1,6,4,3,2,7,8] => [1,2,1,1,3]
[5,4,1,6,3,2,7,8] => [1,1,2,1,3]
[5,4,3,1,6,2,7,8] => [1,1,1,2,3]
[7,3,1,6,5,4,8,2] => [1,1,2,1,2,1]
[7,2,8,1,5,4,3,6] => [1,2,2,1,2]
[4,2,7,6,5,8,1,3] => [1,2,1,2,2]
[3,8,2,6,5,4,1,7] => [2,2,1,1,2]
[7,3,2,1,5,4,6,8] => [1,1,1,2,3]
[7,2,8,6,1,4,3,5] => [1,2,1,2,2]
[5,2,7,6,8,4,1,3] => [1,2,2,1,2]
[3,8,7,2,5,4,1,6] => [2,1,2,1,2]
[7,5,1,6,8,4,3,2] => [1,1,3,1,1,1]
[7,4,2,1,5,6,3,8] => [1,1,1,3,2]
[7,2,8,6,5,1,3,4] => [1,2,1,1,3]
[5,3,2,6,7,4,1,8] => [1,1,3,1,2]
[4,3,7,2,5,6,1,8] => [1,2,3,2]
[6,7,1,4,3,2,5,8] => [2,2,1,3]
[3,4,2,6,7,1,5,8] => [2,3,3]
[3,7,1,6,5,2,4,8] => [2,2,1,3]
[3,5,6,2,4,7,1,8] => [3,3,2]
[3,5,8,7,2,4,6,1] => [3,1,3,1]
[1,7,8,2,5,4,3,6] => [3,2,1,2]
[8,7,2,5,4,3,6,1] => [1,1,2,1,2,1]
[2,5,6,4,7,1,3,8] => [3,2,3]
[4,7,1,6,3,5,2,8] => [2,2,2,2]
[4,5,3,8,7,2,6,1] => [2,2,1,2,1]
[1,4,5,3,7,8,2,6] => [3,3,2]
[1,4,8,2,7,6,3,5] => [3,2,1,2]
[4,7,3,5,1,8,6,2] => [2,2,2,1,1]
[8,7,3,6,1,5,4,2] => [1,1,2,2,1,1]
[2,5,8,7,4,6,1,3] => [3,1,2,2]
[5,4,2,1,7,8,3,6] => [1,1,1,3,2]
[4,7,8,3,5,2,1,6] => [3,2,1,2]
[4,7,6,2,1,8,3,5] => [2,1,1,2,2]
[1,4,6,7,3,5,8,2] => [4,3,1]
[8,3,6,2,1,7,5,4] => [1,2,1,2,1,1]
[8,3,7,6,4,2,1,5] => [1,2,1,1,1,2]
[2,3,1,8,4,7,6,5] => [2,2,2,1,1]
[2,7,4,8,6,5,1,3] => [2,2,1,1,2]
[8,6,5,1,4,7,3,2] => [1,1,1,3,1,1]
[8,5,4,1,7,3,6,2] => [1,1,1,2,2,1]
[6,3,7,2,8,5,4,1] => [1,2,2,1,1,1]
[1,6,3,8,2,7,5,4] => [2,2,2,1,1]
[1,7,5,3,8,2,6,4] => [2,1,2,2,1]
[6,2,7,4,1,8,5,3] => [1,2,1,2,1,1]
[8,6,3,2,7,5,1,4] => [1,1,1,2,1,2]
[2,7,5,1,3,8,6,4] => [2,1,3,1,1]
[1,7,6,4,3,8,2,5] => [2,1,1,2,2]
[3,7,2,4,8,6,5,1] => [2,3,1,1,1]
[3,4,2,8,7,6,1,5] => [2,2,1,1,2]
[5,1,4,3,2,7,8,6] => [1,2,1,3,1]
[3,7,8,5,2,4,1,6] => [3,1,2,2]
[3,7,6,2,4,1,8,5] => [2,1,2,2,1]
[1,6,8,2,5,7,4,3] => [3,3,1,1]
[6,7,2,5,8,4,3,1] => [2,3,1,1,1]
[5,2,7,8,4,3,1,6] => [1,3,1,1,2]
[5,3,1,7,8,4,2,6] => [1,1,3,1,2]
[2,7,6,4,1,3,8,5] => [2,1,1,3,1]
[4,1,7,6,3,2,8,5] => [1,2,1,1,2,1]
[8,4,2,7,6,3,1,5] => [1,1,2,1,1,2]
[6,3,1,7,5,2,8,4] => [1,1,2,1,2,1]
[6,2,7,5,3,1,8,4] => [1,2,1,1,2,1]
[1,5,8,2,7,4,6,3] => [3,2,2,1]
[5,7,2,8,4,6,3,1] => [2,2,2,1,1]
[5,7,3,1,8,4,6,2] => [2,1,2,2,1]
[8,4,7,3,1,6,5,2] => [1,2,1,2,1,1]
[2,6,8,5,7,4,1,3] => [3,2,1,2]
[6,5,2,1,7,4,8,3] => [1,1,1,2,2,1]
[5,7,4,6,2,1,8,3] => [2,2,1,2,1]
[5,6,4,8,3,7,2,1] => [2,2,2,1,1]
[6,7,1,8,3,4,2,5] => [2,2,2,2]
[7,8,3,5,1,4,2,6] => [2,2,2,2]
[5,6,2,7,1,8,3,4] => [2,2,2,2]
[6,7,2,4,3,8,1,5] => [2,2,2,2]
[2,4,3,8,6,7,1,5] => [2,2,2,2]
[1,8,2,7,4,5,3,6] => [2,2,2,2]
[2,5,4,8,3,6,1,7] => [2,2,2,2]
[2,3,1,8,5,6,4,7] => [2,2,2,2]
[3,8,5,6,4,7,1,2] => [2,2,2,2]
[5,7,3,6,4,8,1,2] => [2,2,2,2]
[5,7,2,3,1,6,4,8] => [2,2,2,2]
[5,7,2,4,3,6,1,8] => [2,2,2,2]
[4,6,2,7,1,5,3,8] => [2,2,2,2]
[4,7,1,6,2,5,3,8] => [2,2,2,2]
[4,7,1,5,3,6,2,8] => [2,2,2,2]
[4,6,3,5,1,7,2,8] => [2,2,2,2]
[6,7,3,5,1,4,2,8] => [2,2,2,2]
[5,6,3,7,1,4,2,8] => [2,2,2,2]
[5,7,1,6,3,4,2,8] => [2,2,2,2]
[1,8,5,6,3,4,2,7] => [2,2,2,2]
[1,8,5,6,4,7,2,3] => [2,2,2,2]
[5,7,1,6,4,8,2,3] => [2,2,2,2]
[4,6,5,8,1,7,2,3] => [2,2,2,2]
[3,7,1,4,2,8,5,6] => [2,2,2,2]
[3,5,1,4,2,8,6,7] => [2,2,2,2]
[4,6,5,8,3,7,1,2] => [2,2,2,2]
[4,6,5,8,2,3,1,7] => [2,2,2,2]
[3,4,2,6,5,8,1,7] => [2,2,2,2]
[3,5,4,6,2,8,1,7] => [2,2,2,2]
[1,8,3,5,4,7,2,6] => [2,2,2,2]
[3,4,2,7,1,8,5,6] => [2,2,2,2]
[4,7,2,3,1,8,5,6] => [2,2,2,2]
[2,4,3,8,1,7,5,6] => [2,2,2,2]
[2,5,3,8,4,7,1,6] => [2,2,2,2]
[2,6,3,8,1,7,4,5] => [2,2,2,2]
[2,7,1,8,3,6,4,5] => [2,2,2,2]
[1,2,8,7,4,6,3,5] => [3,1,2,2]
[4,5,1,8,7,6,2,3] => [2,2,1,1,2]
[1,5,2,8,7,6,3,4] => [2,2,1,1,2]
[5,1,2,8,7,6,3,4] => [1,3,1,1,2]
[4,1,5,8,7,6,2,3] => [1,3,1,1,2]
[2,3,6,8,7,4,5,1] => [4,1,2,1]
[2,3,7,8,6,4,5,1] => [4,1,2,1]
[4,5,7,8,2,6,3,1] => [4,2,1,1]
[4,5,6,8,2,7,3,1] => [4,2,1,1]
[5,2,6,8,3,7,4,1] => [1,3,2,1,1]
[3,1,6,8,7,4,5,2] => [1,3,1,2,1]
[6,1,4,8,7,2,5,3] => [1,3,1,2,1]
[6,1,8,4,7,3,5,2] => [1,2,2,2,1]
[3,1,7,8,6,4,5,2] => [1,3,1,2,1]
[4,6,7,8,2,5,3,1] => [4,2,1,1]
[7,4,5,2,8,6,3,1] => [1,2,2,1,1,1]
[7,5,8,4,2,6,3,1] => [1,2,1,2,1,1]
[6,8,4,5,2,7,3,1] => [2,2,2,1,1]
[6,8,2,5,3,7,4,1] => [2,2,2,1,1]
[6,3,8,4,2,7,5,1] => [1,2,1,2,1,1]
[7,2,5,3,8,6,4,1] => [1,2,2,1,1,1]
[3,4,7,5,8,6,2,1] => [3,2,1,1,1]
[3,6,7,4,8,5,2,1] => [3,2,1,1,1]
[6,7,4,2,8,5,3,1] => [2,1,2,1,1,1]
[4,7,5,2,8,6,3,1] => [2,1,2,1,1,1]
[2,7,5,3,8,6,4,1] => [2,1,2,1,1,1]
[5,6,2,8,3,7,4,1] => [2,2,2,1,1]
[5,6,8,3,2,7,4,1] => [3,1,2,1,1]
[3,6,8,4,2,7,5,1] => [3,1,2,1,1]
[1,5,8,2,7,3,6,4] => [3,2,2,1]
[5,8,4,7,2,3,6,1] => [2,2,3,1]
[6,7,4,8,1,5,3,2] => [2,2,2,1,1]
[5,7,2,8,3,6,4,1] => [2,2,2,1,1]
[1,7,4,8,6,2,5,3] => [2,2,1,2,1]
[6,8,5,3,7,2,4,1] => [2,1,2,2,1]
[6,8,5,2,3,7,4,1] => [2,1,3,1,1]
[7,5,3,8,2,6,4,1] => [1,1,2,2,1,1]
[7,5,2,3,8,6,4,1] => [1,1,3,1,1,1]
[3,7,4,5,8,6,2,1] => [2,3,1,1,1]
[6,7,3,4,8,5,2,1] => [2,3,1,1,1]
[3,6,4,7,8,5,2,1] => [2,3,1,1,1]
[6,4,2,7,8,5,3,1] => [1,1,3,1,1,1]
[7,4,2,5,8,6,3,1] => [1,1,3,1,1,1]
[6,1,8,3,4,7,5,2] => [1,2,3,1,1]
[6,8,4,2,5,7,3,1] => [2,1,3,1,1]
[7,5,8,3,4,6,2,1] => [1,2,3,1,1]
[7,4,5,8,1,6,3,2] => [1,3,2,1,1]
[6,3,4,7,8,5,2,1] => [1,4,1,1,1]
[6,1,7,3,4,5,8,2] => [1,2,4,1]
[5,7,2,3,4,1,8,6] => [2,3,2,1]
[2,7,1,8,4,5,6,3] => [2,2,3,1]
[2,6,8,3,4,5,1,7] => [3,3,2]
[6,1,2,7,4,5,8,3] => [1,3,3,1]
[4,7,2,3,1,5,8,6] => [2,2,3,1]
[2,7,1,3,8,5,6,4] => [2,3,2,1]
[2,6,7,8,4,5,3,1] => [4,2,1,1]
[2,5,8,3,4,1,6,7] => [3,2,3]
[5,6,2,7,4,3,8,1] => [2,2,1,2,1]
[4,6,7,3,2,5,8,1] => [3,1,3,1]
[2,6,7,3,8,5,4,1] => [3,2,1,1,1]
[2,6,1,8,4,5,3,7] => [2,2,2,2]
[2,5,7,8,4,3,6,1] => [4,1,2,1]
[3,6,8,4,5,7,1,2] => [3,3,2]
[1,6,8,4,7,2,3,5] => [3,2,3]
[1,4,5,7,8,2,6,3] => [5,2,1]
[3,4,5,7,8,6,1,2] => [5,1,2]
[3,4,5,7,6,8,1,2] => [4,2,2]
[3,6,7,4,8,5,1,2] => [3,2,1,2]
[3,4,5,6,8,7,1,2] => [5,1,2]
[1,4,5,8,7,2,3,6] => [4,1,3]
[1,2,5,8,3,6,4,7] => [4,2,2]
[1,4,5,8,6,2,3,7] => [4,1,3]
[7,8,1,4,6,2,3,5] => [2,3,3]
[1,6,7,4,8,2,5,3] => [3,2,2,1]
[1,4,5,6,8,2,7,3] => [5,2,1]
[1,4,5,8,6,2,7,3] => [4,1,2,1]
[1,2,5,8,3,4,7,6] => [4,3,1]
[1,6,7,2,3,5,8,4] => [3,4,1]
[7,8,1,2,3,5,4,6] => [2,4,2]
[1,6,7,2,3,5,4,8] => [3,3,2]
[1,4,5,7,6,2,3,8] => [4,1,3]
[1,2,5,7,3,6,4,8] => [4,2,2]
[1,2,5,7,3,6,8,4] => [4,3,1]
[1,6,8,2,3,5,7,4] => [3,4,1]
[1,6,8,4,5,2,3,7] => [3,2,3]
[1,6,8,4,5,2,7,3] => [3,2,2,1]
[1,6,8,2,3,4,7,5] => [3,4,1]
[1,6,8,2,3,7,4,5] => [3,3,2]
[1,4,5,7,6,2,8,3] => [4,1,2,1]
[7,8,1,4,5,2,6,3] => [2,3,2,1]
[7,8,1,2,3,4,6,5] => [2,5,1]
[7,8,1,2,3,6,4,5] => [2,4,2]
[1,6,7,2,3,8,5,4] => [3,3,1,1]
[1,2,5,6,3,8,7,4] => [4,2,1,1]
[4,2,1,6,5,3,8,7] => [1,1,2,1,2,1]
[8,2,4,3,1,6,5,7] => [1,2,1,2,2]
[6,2,4,3,1,8,7,5] => [1,2,1,2,1,1]
[4,2,6,3,5,1,8,7] => [1,2,2,2,1]
[4,6,2,1,5,8,7,3] => [2,1,3,1,1]
[4,6,5,2,1,8,7,3] => [2,1,1,2,1,1]
[2,1,6,4,3,8,7,5] => [1,2,1,2,1,1]
[4,8,2,1,6,7,3,5] => [2,1,3,2]
[6,8,2,1,4,3,7,5] => [2,1,2,2,1]
[8,6,2,4,3,1,5,7] => [1,1,2,1,3]
[6,8,2,4,3,1,7,5] => [2,2,1,2,1]
[6,8,7,2,4,3,1,5] => [2,1,2,1,2]
[2,1,8,4,6,5,3,7] => [1,2,2,1,2]
[2,1,6,4,8,5,7,3] => [1,2,2,2,1]
[4,6,5,2,8,3,7,1] => [2,1,2,2,1]
[2,6,4,5,8,3,7,1] => [2,3,2,1]
[6,4,2,8,3,5,7,1] => [1,1,2,3,1]
[8,4,2,6,3,5,1,7] => [1,1,2,2,2]
[6,2,4,8,5,3,7,1] => [1,3,1,2,1]
[4,2,6,3,5,8,7,1] => [1,2,3,1,1]
[4,2,6,3,8,7,5,1] => [1,2,2,1,1,1]
[6,2,4,3,8,5,7,1] => [1,2,2,2,1]
[8,2,4,3,6,5,1,7] => [1,2,2,1,2]
[8,2,1,4,6,5,3,7] => [1,1,3,1,2]
[6,2,1,4,8,5,7,3] => [1,1,3,2,1]
[6,2,1,8,7,4,3,5] => [1,1,2,1,1,2]
[6,2,1,8,4,3,7,5] => [1,1,2,1,2,1]
[8,4,6,5,2,1,3,7] => [1,2,1,1,3]
[6,4,8,5,2,1,7,3] => [1,2,1,1,2,1]
[6,4,8,5,7,2,1,3] => [1,2,2,1,2]
[4,6,8,7,5,2,1,3] => [3,1,1,1,2]
[2,1,4,8,6,7,3,5] => [1,3,2,2]
[2,6,8,7,4,5,1,3] => [3,1,2,2]
[2,4,8,6,7,5,1,3] => [3,2,1,2]
[4,2,8,6,5,7,1,3] => [1,2,1,2,2]
[8,2,6,4,5,1,3,7] => [1,2,2,3]
[8,4,6,2,1,5,3,7] => [1,2,1,2,2]
[4,6,8,7,2,1,5,3] => [3,1,1,2,1]
[4,6,5,8,2,1,7,3] => [2,2,1,2,1]
[2,1,6,8,4,3,7,5] => [1,3,1,2,1]
[6,8,7,4,2,1,3,5] => [2,1,1,1,3]
[2,8,6,4,7,1,3,5] => [2,1,2,3]
[4,8,6,2,1,7,3,5] => [2,1,1,2,2]
[2,8,5,3,1,4,6,7] => [2,1,1,4]
[2,7,4,8,3,5,1,6] => [2,2,2,2]
[2,7,4,8,3,5,6,1] => [2,2,3,1]
[7,2,8,4,3,5,1,6] => [1,2,1,2,2]
[8,4,2,1,5,3,6,7] => [1,1,1,2,3]
[8,5,1,4,2,3,6,7] => [1,1,2,4]
[8,4,1,5,3,2,6,7] => [1,1,2,1,3]
[6,7,3,8,4,2,5,1] => [2,2,1,2,1]
[6,7,3,8,4,2,1,5] => [2,2,1,1,2]
[7,1,8,4,3,5,2,6] => [1,2,1,2,2]
[1,7,8,4,3,5,2,6] => [3,1,2,2]
[7,1,4,8,3,5,2,6] => [1,3,2,2]
[7,4,8,1,5,6,2,3] => [1,2,3,2]
[7,1,8,4,3,5,6,2] => [1,2,1,3,1]
[6,7,3,1,8,4,5,2] => [2,1,2,2,1]
[6,7,3,8,4,5,2,1] => [2,2,2,1,1]
[6,7,1,4,8,3,5,2] => [2,3,2,1]
[6,7,4,1,3,8,2,5] => [2,1,3,2]
[1,6,7,8,4,3,2,5] => [4,1,1,2]
[7,2,1,8,4,5,3,6] => [1,1,2,2,2]
[6,2,7,1,8,4,3,5] => [1,2,2,1,2]
[6,2,7,8,4,3,1,5] => [1,3,1,1,2]
[6,2,7,8,4,3,5,1] => [1,3,1,2,1]
[2,6,7,4,8,3,5,1] => [3,2,2,1]
[2,6,7,4,8,3,1,5] => [3,2,1,2]
[7,8,1,3,6,2,4,5] => [2,3,3]
[1,2,7,8,6,3,4,5] => [4,1,3]
[2,6,7,1,8,5,3,4] => [3,2,1,2]
[2,6,7,8,5,3,1,4] => [4,1,1,2]
[2,6,7,8,5,3,4,1] => [4,1,2,1]
[6,2,7,8,4,5,3,1] => [1,3,2,1,1]
[7,2,1,8,4,5,6,3] => [1,1,2,3,1]
[1,7,2,8,4,5,6,3] => [2,2,3,1]
[3,7,8,1,5,6,2,4] => [3,3,2]
[6,3,7,8,1,5,2,4] => [1,3,2,2]
[6,7,1,2,8,5,3,4] => [2,3,1,2]
[1,6,7,8,4,2,5,3] => [4,1,2,1]
[3,1,2,7,6,5,8,4] => [1,3,1,2,1]
[6,1,2,4,7,3,8,5] => [1,4,2,1]
[1,7,5,3,6,4,8,2] => [2,1,2,2,1]
[5,1,2,6,7,4,8,3] => [1,4,2,1]
[4,1,5,7,3,2,6,8] => [1,3,1,3]
[4,6,1,7,3,2,5,8] => [2,2,1,3]
[4,6,1,8,3,2,5,7] => [2,2,1,3]
[4,7,1,8,3,5,2,6] => [2,2,2,2]
[4,1,7,8,6,2,3,5] => [1,3,1,3]
[1,6,5,7,8,3,4,2] => [2,3,2,1]
[1,6,5,8,7,3,4,2] => [2,2,1,2,1]
[4,1,8,7,6,2,3,5] => [1,2,1,1,3]
[4,8,1,7,3,5,2,6] => [2,2,2,2]
[4,8,1,6,3,2,5,7] => [2,2,1,3]
[4,7,1,6,3,2,5,8] => [2,2,1,3]
[6,1,2,3,7,5,4,8] => [1,4,1,2]
[6,8,1,5,3,7,2,4] => [2,2,2,2]
[8,7,5,2,4,1,6,3] => [1,1,1,2,2,1]
[1,5,7,3,4,8,6,2] => [3,3,1,1]
[1,5,8,3,4,7,6,2] => [3,3,1,1]
[7,8,5,2,4,1,6,3] => [2,1,2,2,1]
[7,1,2,3,5,6,4,8] => [1,5,2]
[8,1,2,3,5,6,4,7] => [1,5,2]
[8,1,2,3,5,4,7,6] => [1,4,2,1]
[7,1,8,4,6,3,2,5] => [1,2,2,1,2]
[6,8,2,4,3,1,5,7] => [2,2,1,3]
[6,7,2,4,3,1,5,8] => [2,2,1,3]
[3,8,1,2,4,5,7,6] => [2,5,1]
[3,7,1,8,6,4,2,5] => [2,2,1,1,2]
[1,6,4,3,7,5,8,2] => [2,1,2,2,1]
[3,1,2,6,7,5,8,4] => [1,4,2,1]
[3,8,1,7,6,4,2,5] => [2,2,1,1,2]
[7,6,2,4,3,1,5,8] => [1,1,2,1,3]
[8,7,2,4,3,5,1,6] => [1,1,2,2,2]
[8,1,7,4,6,3,2,5] => [1,2,2,1,2]
[8,1,7,6,5,3,2,4] => [1,2,1,1,1,2]
[1,5,7,3,4,6,8,2] => [3,4,1]
[8,7,2,5,3,6,1,4] => [1,1,2,2,2]
[7,1,2,3,5,4,8,6] => [1,4,2,1]
[6,1,2,3,5,8,4,7] => [1,5,2]
[6,1,2,3,5,7,4,8] => [1,5,2]
[5,1,2,3,7,6,4,8] => [1,4,1,2]
[5,1,2,3,8,6,4,7] => [1,4,1,2]
[1,5,6,3,4,7,8,2] => [3,4,1]
[8,6,5,2,4,7,1,3] => [1,1,1,3,2]
[7,6,2,5,3,1,8,4] => [1,1,2,1,2,1]
[7,4,5,2,3,8,6,1] => [1,2,3,1,1]
[8,2,3,7,4,5,1,6] => [1,3,2,2]
[8,4,7,3,2,5,1,6] => [1,2,1,2,2]
[5,4,6,3,1,2,8,7] => [1,2,1,3,1]
[4,6,2,3,1,5,8,7] => [2,2,3,1]
[7,2,3,4,5,8,6,1] => [1,5,1,1]
[8,2,3,4,5,7,1,6] => [1,5,2]
[7,3,4,6,8,5,1,2] => [1,4,1,2]
[4,7,3,2,8,6,1,5] => [2,1,2,1,2]
[3,7,4,5,1,8,6,2] => [2,2,2,1,1]
[3,8,2,6,7,4,5,1] => [2,3,2,1]
[4,8,1,5,6,7,3,2] => [2,4,1,1]
[5,8,2,4,6,7,1,3] => [2,4,2]
[6,8,1,3,4,2,7,5] => [2,3,2,1]
[5,8,2,4,3,1,7,6] => [2,2,1,2,1]
[2,1,7,6,8,5,3,4] => [1,2,2,1,2]
[3,7,6,1,8,5,2,4] => [2,1,2,1,2]
[4,7,2,3,8,5,1,6] => [2,3,1,2]
[7,1,3,6,4,8,5,2] => [1,3,2,1,1]
[7,6,1,4,8,5,2,3] => [1,1,3,1,2]
[6,2,3,7,8,5,4,1] => [1,4,1,1,1]
[6,2,3,8,4,5,1,7] => [1,3,2,2]
[7,2,3,6,8,4,1,5] => [1,4,1,2]
[8,2,3,5,7,1,4,6] => [1,4,3]
[6,4,8,3,5,1,7,2] => [1,2,2,2,1]
[5,4,8,3,6,7,1,2] => [1,2,3,2]
[3,5,1,8,4,6,7,2] => [2,2,3,1]
[3,6,1,8,4,5,2,7] => [2,2,2,2]
[4,6,8,3,5,2,7,1] => [3,2,2,1]
[5,7,8,3,2,4,1,6] => [3,1,2,2]
[4,8,2,3,5,6,1,7] => [2,4,2]
[6,8,2,3,1,4,5,7] => [2,2,4]
[5,2,7,4,8,3,1,6] => [1,2,2,1,2]
[3,7,8,2,1,4,6,5] => [3,1,3,1]
[3,7,5,2,8,4,1,6] => [2,1,2,1,2]
[6,3,2,4,1,8,7,5] => [1,1,2,2,1,1]
[7,2,3,4,8,5,1,6] => [1,4,1,2]
[5,7,3,1,4,2,6,8] => [2,1,2,3]
[3,7,4,1,8,2,5,6] => [2,1,2,3]
[6,3,7,4,8,1,2,5] => [1,2,2,3]
[8,3,7,4,2,6,1,5] => [1,2,1,2,2]
[3,7,4,1,5,6,2,8] => [2,1,3,2]
[1,8,3,2,4,5,7,6] => [2,1,4,1]
[8,4,1,6,3,7,5,2] => [1,1,2,2,1,1]
[8,7,4,2,1,6,3,5] => [1,1,1,1,2,2]
[8,3,5,2,7,4,1,6] => [1,2,2,1,2]
[1,5,3,8,7,6,4,2] => [2,2,1,1,1,1]
[7,2,4,8,1,3,6,5] => [1,3,3,1]
[1,2,8,7,5,6,3,4] => [3,1,2,2]
[3,1,8,6,7,5,2,4] => [1,2,2,1,2]
[1,4,8,6,5,7,2,3] => [3,1,2,2]
[1,6,5,4,8,2,3,7] => [2,1,2,3]
[5,1,6,8,3,4,2,7] => [1,3,2,2]
[6,2,5,1,7,4,3,8] => [1,2,2,1,2]
[5,2,1,8,7,4,3,6] => [1,1,2,1,1,2]
[5,2,6,3,8,1,4,7] => [1,2,2,3]
[5,2,8,3,4,6,1,7] => [1,2,3,2]
[6,2,8,4,3,1,7,5] => [1,2,1,1,2,1]
[7,2,8,1,3,6,5,4] => [1,2,3,1,1]
[7,3,8,1,4,6,2,5] => [1,2,3,2]
[1,7,8,5,4,6,3,2] => [3,1,2,1,1]
[1,5,8,4,6,3,7,2] => [3,2,2,1]
[5,3,8,4,1,2,7,6] => [1,2,1,3,1]
[5,8,4,3,6,2,1,7] => [2,1,2,1,2]
[1,8,3,6,5,2,7,4] => [2,2,1,2,1]
[1,8,2,4,7,6,5,3] => [2,3,1,1,1]
[3,8,1,4,6,7,5,2] => [2,4,1,1]
[3,8,2,5,1,7,6,4] => [2,2,2,1,1]
[4,3,8,2,5,1,6,7] => [1,2,2,3]
[8,2,4,3,5,1,7,6] => [1,2,2,2,1]
[8,2,1,4,6,5,7,3] => [1,1,3,2,1]
[8,1,3,4,5,7,6,2] => [1,5,1,1]
[6,1,5,2,4,7,8,3] => [1,2,4,1]
[4,1,8,5,2,7,6,3] => [1,2,1,2,1,1]
[4,8,5,1,3,6,2,7] => [2,1,3,2]
[3,6,1,5,7,2,8,4] => [2,3,2,1]
[6,3,1,2,8,5,7,4] => [1,1,3,2,1]
[4,1,8,2,3,7,5,6] => [1,2,3,2]
[5,3,8,7,2,1,4,6] => [1,2,1,1,3]
[6,7,3,5,1,4,8,2] => [2,2,3,1]
[6,4,7,5,8,2,3,1] => [1,2,2,2,1]
[5,7,8,4,2,6,3,1] => [3,1,2,1,1]
[5,7,4,1,6,8,3,2] => [2,1,3,1,1]
[6,8,4,5,7,1,3,2] => [2,3,2,1]
[5,8,4,6,1,7,3,2] => [2,2,2,1,1]
[5,6,1,4,7,8,3,2] => [2,4,1,1]
[5,6,7,2,4,8,3,1] => [3,3,1,1]
[5,6,3,7,4,8,2,1] => [2,2,2,1,1]
[5,3,6,7,4,8,2,1] => [1,3,2,1,1]
[5,3,2,8,6,7,4,1] => [1,1,2,2,1,1]
[5,4,8,2,6,7,3,1] => [1,2,3,1,1]
[5,4,8,6,2,7,3,1] => [1,2,1,2,1,1]
[7,4,8,5,6,2,1,3] => [1,2,2,1,2]
[5,6,3,8,4,7,2,1] => [2,2,2,1,1]
[4,6,3,2,8,7,5,1] => [2,1,2,1,1,1]
[5,6,3,8,2,7,4,1] => [2,2,2,1,1]
[3,6,5,8,7,2,4,1] => [2,2,1,2,1]
[5,3,6,8,2,7,4,1] => [1,3,2,1,1]
[4,3,7,2,8,6,5,1] => [1,2,2,1,1,1]
[5,4,7,2,6,8,3,1] => [1,2,3,1,1]
[6,7,3,8,5,2,4,1] => [2,2,1,2,1]
[6,3,2,7,5,4,8,1] => [1,1,2,1,2,1]
[6,4,7,2,5,3,8,1] => [1,2,2,2,1]
[6,2,7,5,1,4,8,3] => [1,2,1,3,1]
[2,7,8,5,3,6,1,4] => [3,1,2,2]
[6,3,7,8,4,2,5,1] => [1,3,1,2,1]
[3,5,7,8,4,6,2,1] => [4,2,1,1]
[5,3,7,8,4,6,2,1] => [1,3,2,1,1]
[5,7,8,2,4,6,3,1] => [3,3,1,1]
[2,5,8,4,3,7,6,1] => [3,1,2,1,1]
[2,6,8,4,7,3,5,1] => [3,2,2,1]
[3,7,4,8,6,2,1,5] => [2,2,1,1,2]
[3,6,4,8,7,2,5,1] => [2,2,1,2,1]
[3,5,4,8,2,7,6,1] => [2,2,2,1,1]
[4,3,7,5,8,6,2,1] => [1,2,2,1,1,1]
[4,5,7,3,8,6,2,1] => [3,2,1,1,1]
[3,5,6,8,4,7,2,1] => [4,2,1,1]
[6,3,1,8,7,5,4,2] => [1,1,2,1,1,1,1]
[5,4,8,1,7,6,3,2] => [1,2,2,1,1,1]
[5,8,4,1,7,6,3,2] => [2,1,2,1,1,1]
[7,5,4,1,8,6,3,2] => [1,1,1,2,1,1,1]
[8,5,4,1,7,6,3,2] => [1,1,1,2,1,1,1]
[1,8,2,5,6,3,4,7] => [2,3,3]
[7,2,8,4,5,1,3,6] => [1,2,2,3]
[1,3,7,5,6,2,4,8] => [3,2,3]
[1,6,7,4,3,5,2,8] => [3,1,2,2]
[1,8,5,2,3,7,4,6] => [2,1,3,2]
[1,8,2,5,3,6,7,4] => [2,2,3,1]
[2,6,8,4,3,5,7,1] => [3,1,3,1]
[7,5,8,3,2,1,6,4] => [1,2,1,1,2,1]
[7,2,8,4,1,5,6,3] => [1,2,1,3,1]
[7,5,8,1,2,6,3,4] => [1,2,3,2]
[1,6,7,4,3,2,8,5] => [3,1,1,2,1]
[1,5,2,6,4,7,8,3] => [2,2,3,1]
[1,5,4,6,2,3,7,8] => [2,2,4]
[6,2,5,7,1,4,8,3] => [1,3,3,1]
[6,5,4,3,8,1,7,2] => [1,1,1,2,2,1]
[7,3,6,8,5,2,4,1] => [1,3,1,2,1]
[2,7,8,3,6,5,1,4] => [3,2,1,2]
[2,7,8,5,4,6,3,1] => [3,1,2,1,1]
[2,6,5,8,3,4,1,7] => [2,2,2,2]
[2,6,5,7,3,4,1,8] => [2,2,2,2]
[6,2,5,7,4,1,3,8] => [1,3,1,3]
[6,2,5,8,4,1,3,7] => [1,3,1,3]
[2,7,8,4,6,1,3,5] => [3,2,3]
[6,1,2,8,3,7,4,5] => [1,3,2,2]
[6,1,2,8,5,4,7,3] => [1,3,1,2,1]
[6,2,5,7,8,1,3,4] => [1,4,3]
[1,5,4,2,6,7,3,8] => [2,1,3,2]
[2,6,5,7,3,8,1,4] => [2,2,2,2]
[1,6,2,7,5,8,4,3] => [2,2,2,1,1]
[1,3,2,7,8,5,6,4] => [2,3,2,1]
[1,6,2,4,8,7,3,5] => [2,3,1,2]
[6,5,2,1,8,7,3,4] => [1,1,1,2,1,2]
[2,6,5,3,7,8,4,1] => [2,1,3,1,1]
[6,2,5,3,8,4,7,1] => [1,2,2,2,1]
[6,5,2,3,8,7,1,4] => [1,1,3,1,2]
[5,4,1,2,3,8,6,7] => [1,1,4,2]
[5,1,4,2,3,7,8,6] => [1,2,4,1]
[1,5,4,2,6,3,8,7] => [2,1,2,2,1]
[5,1,6,3,8,2,7,4] => [1,2,2,2,1]
[1,8,7,6,2,5,4,3] => [2,1,1,2,1,1]
[5,2,7,4,1,6,3,8] => [1,2,1,2,2]
[4,7,3,1,5,6,2,8] => [2,1,3,2]
[5,8,3,4,1,6,7,2] => [2,2,3,1]
[1,7,8,4,5,6,2,3] => [3,3,2]
[1,5,8,4,2,6,7,3] => [3,1,3,1]
[1,6,3,8,5,2,7,4] => [2,2,1,2,1]
[6,2,3,7,5,1,4,8] => [1,3,1,3]
[1,7,3,4,8,6,2,5] => [2,3,1,2]
[6,2,3,4,8,1,7,5] => [1,4,2,1]
[8,7,3,2,1,6,5,4] => [1,1,1,1,2,1,1]
[8,7,6,3,1,5,2,4] => [1,1,1,1,2,2]
[8,5,1,7,2,3,4,6] => [1,1,2,4]
[2,4,8,5,3,7,1,6] => [3,1,2,2]
[2,4,1,8,5,3,7,6] => [2,2,1,2,1]
[2,4,8,6,3,1,7,5] => [3,1,1,2,1]
[3,4,6,8,2,1,7,5] => [4,1,2,1]
[3,4,1,5,8,2,7,6] => [2,3,2,1]
[8,1,4,5,3,2,7,6] => [1,3,1,2,1]
[3,4,1,5,2,8,7,6] => [2,2,2,1,1]
[3,4,6,2,1,8,7,5] => [3,1,2,1,1]
[3,5,6,2,1,7,8,4] => [3,1,3,1]
[3,4,6,2,7,8,1,5] => [3,3,2]
[8,1,4,6,3,7,2,5] => [1,3,2,2]
[8,1,4,6,3,7,5,2] => [1,3,2,1,1]
[3,5,6,2,1,7,4,8] => [3,1,2,2]
[8,1,5,6,7,3,4,2] => [1,4,2,1]
[8,1,5,6,7,3,2,4] => [1,4,1,2]
[3,4,1,6,8,7,2,5] => [2,3,1,2]
[3,5,6,1,8,7,2,4] => [3,2,1,2]
[2,1,3,8,6,7,4,5] => [1,3,2,2]
[8,1,3,2,6,7,5,4] => [1,2,3,1,1]
[2,3,8,6,7,1,5,4] => [3,2,2,1]
[2,4,1,8,6,7,5,3] => [2,2,2,1,1]
[2,5,8,6,1,7,4,3] => [3,1,2,1,1]
[3,5,6,1,8,7,4,2] => [3,2,1,1,1]
[3,4,1,6,8,7,5,2] => [2,3,1,1,1]
[3,4,6,8,7,1,5,2] => [4,1,2,1]
[8,1,4,6,2,7,5,3] => [1,3,2,1,1]
[3,5,1,6,7,8,4,2] => [2,4,1,1]
[4,5,6,1,7,8,3,2] => [3,3,1,1]
[4,5,6,1,7,3,8,2] => [3,2,2,1]
[3,5,1,6,7,4,8,2] => [2,3,2,1]
[8,1,5,6,7,4,2,3] => [1,4,1,2]
[8,1,5,6,7,4,3,2] => [1,4,1,1,1]
[3,5,1,6,7,4,2,8] => [2,3,1,2]
[4,5,6,1,7,3,2,8] => [3,2,1,2]
[6,5,8,7,4,3,1,2] => [1,2,1,1,1,2]
[6,4,2,7,8,5,1,3] => [1,1,3,1,2]
[6,1,4,8,7,5,2,3] => [1,3,1,1,2]
[1,6,4,8,7,5,2,3] => [2,2,1,1,2]
[1,8,6,2,4,7,3,5] => [2,1,3,2]
[8,1,6,2,4,7,3,5] => [1,2,3,2]
[7,6,2,1,4,8,3,5] => [1,1,1,3,2]
[6,4,1,7,8,5,2,3] => [1,1,3,1,2]
[7,6,1,2,4,8,3,5] => [1,1,4,2]
[7,6,1,3,4,8,2,5] => [1,1,4,2]
[8,1,6,3,4,7,2,5] => [1,2,3,2]
[1,8,6,3,4,7,2,5] => [2,1,3,2]
[1,7,2,5,4,8,3,6] => [2,2,2,2]
[7,1,2,5,4,8,3,6] => [1,3,2,2]
[2,7,1,5,4,8,3,6] => [2,2,2,2]
[2,8,6,3,4,7,1,5] => [2,1,3,2]
[2,8,6,1,4,7,3,5] => [2,1,3,2]
[7,2,1,5,4,8,3,6] => [1,1,2,2,2]
[1,2,7,5,4,8,3,6] => [3,1,2,2]
[3,2,7,5,4,8,1,6] => [1,2,1,2,2]
[2,5,8,4,7,3,1,6] => [3,2,1,2]
[2,3,7,5,4,8,1,6] => [3,1,2,2]
[6,8,3,2,4,7,1,5] => [2,1,3,2]
[3,7,2,5,4,8,1,6] => [2,2,2,2]
[3,1,7,5,4,8,2,6] => [1,2,1,2,2]
[1,3,7,5,4,8,2,6] => [3,1,2,2]
[1,5,8,4,7,3,2,6] => [3,2,1,2]
[5,1,8,4,7,3,2,6] => [1,2,2,1,2]
[5,8,2,4,7,3,1,6] => [2,3,1,2]
[6,8,4,3,7,5,1,2] => [2,1,2,1,2]
[8,7,5,6,2,1,4,3] => [1,1,2,1,2,1]
[8,5,2,4,7,3,1,6] => [1,1,3,1,2]
[8,1,5,4,7,3,2,6] => [1,2,2,1,2]
[1,8,5,4,7,3,2,6] => [2,1,2,1,2]
[1,7,3,5,4,8,2,6] => [2,2,2,2]
[8,6,3,1,4,7,2,5] => [1,1,1,3,2]
[8,6,4,2,7,5,1,3] => [1,1,1,2,1,2]
[8,6,4,1,7,2,5,3] => [1,1,1,2,2,1]
[5,3,7,4,6,8,2,1] => [1,2,3,1,1]
[4,1,3,2,7,8,5,6] => [1,2,3,2]
[1,4,3,2,7,8,5,6] => [2,1,3,2]
[2,4,3,1,7,8,5,6] => [2,1,3,2]
[2,7,3,5,4,8,1,6] => [2,2,2,2]
[2,8,5,4,7,3,1,6] => [2,1,2,1,2]
[5,7,3,4,6,8,2,1] => [2,4,1,1]
[8,2,5,4,7,3,1,6] => [1,2,2,1,2]
[7,2,3,5,4,8,1,6] => [1,3,2,2]
[3,2,1,4,7,8,5,6] => [1,1,4,2]
[8,1,7,6,4,3,5,2] => [1,2,1,1,2,1]
[8,6,4,5,2,7,1,3] => [1,1,2,2,2]
[7,1,8,6,4,3,5,2] => [1,2,1,1,2,1]
[7,4,2,5,1,6,3,8] => [1,1,2,2,2]
[7,3,6,5,2,1,4,8] => [1,2,1,1,3]
[8,3,6,5,2,1,7,4] => [1,2,1,1,2,1]
[7,3,6,5,2,1,8,4] => [1,2,1,1,2,1]
[7,5,8,6,4,2,1,3] => [1,2,1,1,1,2]
[5,4,2,8,1,3,7,6] => [1,1,2,3,1]
[5,8,2,6,4,1,3,7] => [2,2,1,3]
[6,4,2,5,1,8,3,7] => [1,1,2,2,2]
[6,3,5,2,1,4,7,8] => [1,2,1,4]
[2,5,8,6,3,1,4,7] => [3,1,1,3]
[2,3,5,8,1,4,7,6] => [4,3,1]
[2,3,6,8,1,5,7,4] => [4,3,1]
[6,3,8,5,2,7,1,4] => [1,2,1,2,2]
[6,3,7,5,2,1,4,8] => [1,2,1,1,3]
[2,5,7,6,3,1,4,8] => [3,1,1,3]
[2,8,7,6,3,1,5,4] => [2,1,1,1,2,1]
[2,5,8,7,6,3,1,4] => [3,1,1,1,2]
[2,4,8,1,6,5,7,3] => [3,2,2,1]
[2,8,7,3,6,1,4,5] => [2,1,2,3]
[7,3,5,2,1,4,6,8] => [1,2,1,4]
[8,4,2,5,1,3,7,6] => [1,1,2,3,1]
[2,3,6,8,1,4,7,5] => [4,3,1]
[2,7,8,6,3,1,4,5] => [3,1,1,3]
[7,3,8,5,2,1,4,6] => [1,2,1,1,3]
[2,3,6,1,8,4,7,5] => [3,2,2,1]
[2,8,6,3,1,4,5,7] => [2,1,1,4]
[8,3,5,2,1,4,6,7] => [1,2,1,4]
[2,4,8,1,3,7,5,6] => [3,3,2]
[2,5,8,1,7,3,6,4] => [3,2,2,1]
[2,8,1,5,7,3,6,4] => [2,3,2,1]
[8,3,6,1,4,7,5,2] => [1,2,3,1,1]
[3,8,6,1,4,7,5,2] => [2,1,3,1,1]
[2,7,1,5,8,3,4,6] => [2,3,3]
[4,7,6,1,8,5,2,3] => [2,1,2,1,2]
[3,7,5,8,1,2,6,4] => [2,2,3,1]
[7,3,6,1,2,8,4,5] => [1,2,3,2]
[7,4,8,1,6,5,2,3] => [1,2,2,1,2]
[7,4,6,1,8,2,5,3] => [1,2,2,2,1]
[7,4,5,8,6,1,2,3] => [1,3,1,3]
[6,8,4,5,1,7,2,3] => [2,2,2,2]
[5,1,7,6,2,3,8,4] => [1,2,1,3,1]
[5,1,8,7,6,2,3,4] => [1,2,1,1,3]
[8,5,1,7,6,2,3,4] => [1,1,2,1,3]
[8,5,1,6,2,7,3,4] => [1,1,2,2,2]
[4,6,1,8,7,5,2,3] => [2,2,1,1,2]
[8,4,6,1,7,5,2,3] => [1,2,2,1,2]
[4,8,5,1,7,2,3,6] => [2,1,2,3]
[4,5,1,8,7,2,3,6] => [2,2,1,3]
[3,4,8,7,1,2,5,6] => [3,1,4]
[8,6,4,7,1,2,5,3] => [1,1,2,3,1]
[6,4,8,7,1,2,5,3] => [1,2,1,3,1]
[6,5,1,2,7,3,8,4] => [1,1,3,2,1]
[6,5,1,8,2,7,3,4] => [1,1,2,2,2]
[8,6,5,1,2,7,3,4] => [1,1,1,3,2]
[8,6,5,1,7,2,3,4] => [1,1,1,2,3]
[6,5,1,8,7,2,3,4] => [1,1,2,1,3]
[6,5,1,7,2,8,3,4] => [1,1,2,2,2]
[6,5,1,7,2,3,8,4] => [1,1,2,3,1]
[5,7,4,1,8,2,3,6] => [2,1,2,3]
[5,6,8,7,4,1,2,3] => [3,1,1,3]
[6,8,5,7,4,1,2,3] => [2,2,1,3]
[7,3,8,1,5,2,4,6] => [1,2,2,3]
[4,1,7,5,3,6,2,8] => [1,2,1,2,2]
[1,8,4,2,3,6,7,5] => [2,1,4,1]
[2,5,8,3,4,6,7,1] => [3,4,1]
[4,1,7,2,3,6,8,5] => [1,2,4,1]
[4,6,2,1,5,7,8,3] => [2,1,4,1]
[4,5,2,3,1,7,8,6] => [2,2,3,1]
[3,2,6,7,4,1,8,5] => [1,3,1,2,1]
[5,6,2,7,1,4,8,3] => [2,2,3,1]
[6,2,3,8,1,7,4,5] => [1,3,2,2]
[2,6,8,3,4,7,1,5] => [3,3,2]
[4,6,2,7,5,1,3,8] => [2,2,1,3]
[2,6,3,1,8,4,5,7] => [2,1,2,3]
[2,4,3,7,8,1,5,6] => [2,3,3]
[5,3,2,7,4,8,1,6] => [1,1,2,2,2]
[5,1,2,7,6,8,4,3] => [1,3,2,1,1]
[2,6,3,1,8,7,4,5] => [2,1,2,1,2]
[3,5,6,4,7,8,1,2] => [3,3,2]
[5,3,6,4,2,8,7,1] => [1,2,1,2,1,1]
[5,4,2,3,7,8,6,1] => [1,1,4,1,1]
[4,1,8,2,5,7,3,6] => [1,2,3,2]
[3,1,8,4,7,2,5,6] => [1,2,2,3]
[6,2,3,8,4,1,7,5] => [1,3,1,2,1]
[2,6,4,1,5,3,8,7] => [2,1,2,2,1]
[3,2,7,6,4,1,8,5] => [1,2,1,1,2,1]
[2,5,4,1,7,6,8,3] => [2,1,2,2,1]
[6,2,1,4,7,8,3,5] => [1,1,4,2]
[2,6,5,1,7,8,3,4] => [2,1,3,2]
[4,7,5,2,1,6,3,8] => [2,1,1,2,2]
[4,2,3,7,8,1,6,5] => [1,4,2,1]
[5,8,3,1,7,2,4,6] => [2,1,2,3]
[6,8,3,1,5,2,4,7] => [2,1,2,3]
[4,2,7,1,6,3,5,8] => [1,2,2,3]
[5,1,7,4,2,6,3,8] => [1,2,1,2,2]
[5,8,2,1,4,7,3,6] => [2,1,3,2]
[6,8,3,2,5,1,7,4] => [2,1,2,2,1]
[6,8,4,3,1,5,7,2] => [2,1,1,3,1]
[6,8,4,2,1,5,7,3] => [2,1,1,3,1]
[6,8,3,2,1,4,5,7] => [2,1,1,4]
[5,1,7,3,2,4,6,8] => [1,2,1,4]
[5,2,1,8,3,6,7,4] => [1,1,2,3,1]
[4,3,8,1,6,2,7,5] => [1,2,2,2,1]
[5,4,7,2,1,6,8,3] => [1,2,1,3,1]
[5,2,1,7,3,4,8,6] => [1,1,2,3,1]
[6,4,3,1,7,5,8,2] => [1,1,1,2,2,1]
[5,3,1,7,2,6,8,4] => [1,1,2,3,1]
[3,2,1,7,6,4,8,5] => [1,1,2,1,2,1]
[4,2,1,6,5,8,3,7] => [1,1,2,2,2]
[4,2,1,8,5,7,3,6] => [1,1,2,2,2]
[7,4,3,1,8,5,6,2] => [1,1,1,2,2,1]
[6,3,2,1,7,4,5,8] => [1,1,1,2,3]
[6,4,2,1,7,5,3,8] => [1,1,1,2,1,2]
[7,5,2,1,8,6,3,4] => [1,1,1,2,1,2]
[6,1,8,4,2,7,3,5] => [1,2,1,2,2]
[6,2,1,8,3,7,4,5] => [1,1,2,2,2]
[5,2,1,7,3,6,4,8] => [1,1,2,2,2]
[5,3,2,7,6,1,4,8] => [1,1,2,1,3]
[5,3,2,8,6,1,4,7] => [1,1,2,1,3]
[6,3,2,8,7,1,4,5] => [1,1,2,1,3]
[4,2,8,1,7,3,5,6] => [1,2,2,3]
[4,3,8,7,2,1,5,6] => [1,2,1,1,3]
[2,1,5,8,4,7,3,6] => [1,3,2,2]
[4,3,2,5,8,1,6,7] => [1,1,3,3]
[4,3,2,5,7,1,6,8] => [1,1,3,3]
[4,3,1,6,2,7,5,8] => [1,1,2,2,2]
[4,3,1,7,2,8,5,6] => [1,1,2,2,2]
[5,4,1,7,2,8,6,3] => [1,1,2,2,1,1]
[6,5,3,1,7,8,4,2] => [1,1,1,3,1,1]
[6,4,2,1,7,8,3,5] => [1,1,1,3,2]
[5,3,2,1,6,7,4,8] => [1,1,1,3,2]
[6,4,2,1,7,8,5,3] => [1,1,1,3,1,1]
[5,3,2,6,8,1,7,4] => [1,1,3,2,1]
[3,2,1,4,8,7,5,6] => [1,1,3,1,2]
[3,2,1,4,6,8,5,7] => [1,1,4,2]
[4,3,2,6,1,7,8,5] => [1,1,2,3,1]
[5,3,2,1,6,7,8,4] => [1,1,1,4,1]
[8,6,1,4,5,7,2,3] => [1,1,4,2]
[3,8,6,4,5,7,1,2] => [2,1,3,2]
[5,2,8,3,7,4,6,1] => [1,2,2,2,1]
[6,2,8,5,4,7,3,1] => [1,2,1,2,1,1]
[1,8,6,3,7,4,2,5] => [2,1,2,1,2]
[1,8,6,5,7,2,3,4] => [2,1,2,3]
[5,2,8,4,3,6,7,1] => [1,2,1,3,1]
[5,4,2,7,3,6,1,8] => [1,1,2,2,2]
[5,4,2,8,3,6,1,7] => [1,1,2,2,2]
[6,5,3,8,4,7,2,1] => [1,1,2,2,1,1]
[5,2,8,4,3,7,1,6] => [1,2,1,2,2]
[6,2,8,3,7,4,1,5] => [1,2,2,1,2]
[5,4,2,7,3,1,8,6] => [1,1,2,1,2,1]
[6,4,3,7,1,2,8,5] => [1,1,2,3,1]
[6,4,3,8,1,2,7,5] => [1,1,2,3,1]
[7,6,3,8,4,2,1,5] => [1,1,2,1,1,2]
[7,2,8,5,1,6,3,4] => [1,2,1,2,2]
[7,2,8,4,3,1,5,6] => [1,2,1,1,3]
[7,5,3,8,4,2,6,1] => [1,1,2,1,2,1]
[6,4,2,7,3,1,5,8] => [1,1,2,1,3]
[7,6,4,8,2,3,5,1] => [1,1,2,3,1]
[7,6,8,1,2,5,3,4] => [1,2,3,2]
[5,3,1,7,8,4,6,2] => [1,1,3,2,1]
[5,3,2,7,8,4,6,1] => [1,1,3,2,1]
[5,4,1,6,3,8,7,2] => [1,1,2,2,1,1]
[6,5,1,7,8,2,3,4] => [1,1,3,3]
[6,3,1,7,8,4,2,5] => [1,1,3,1,2]
[5,4,1,7,3,8,2,6] => [1,1,2,2,2]
[6,3,2,7,8,4,1,5] => [1,1,3,1,2]
[6,1,5,4,3,2,8,7] => [1,2,1,1,2,1]
[8,7,6,1,3,5,2,4] => [1,1,1,3,2]
[8,1,6,5,7,3,4,2] => [1,2,2,2,1]
[8,4,1,5,7,6,2,3] => [1,1,3,1,2]
[7,8,6,2,5,3,1,4] => [2,1,2,1,2]
[6,1,3,5,2,8,4,7] => [1,3,2,2]
[8,1,3,7,4,2,5,6] => [1,3,1,3]
[4,3,8,7,5,2,1,6] => [1,2,1,1,1,2]
[6,7,1,8,5,3,4,2] => [2,2,1,2,1]
[2,7,6,4,8,3,5,1] => [2,1,2,2,1]
[6,5,2,7,1,4,8,3] => [1,1,2,3,1]
[7,4,6,1,3,2,8,5] => [1,2,2,2,1]
[7,5,2,1,3,8,4,6] => [1,1,1,3,2]
[8,4,7,6,3,1,5,2] => [1,2,1,1,2,1]
[7,4,1,5,6,3,8,2] => [1,1,3,2,1]
[3,4,7,5,6,1,8,2] => [3,2,2,1]
[2,4,7,5,6,3,8,1] => [3,2,2,1]
[5,4,1,7,6,2,8,3] => [1,1,2,1,2,1]
[3,5,6,7,1,4,8,2] => [4,3,1]
[2,7,6,1,3,4,8,5] => [2,1,4,1]
[5,7,2,1,6,3,8,4] => [2,1,2,2,1]
[4,7,2,5,6,3,8,1] => [2,3,2,1]
[8,6,2,5,7,1,4,3] => [1,1,3,2,1]
[2,7,4,5,3,8,1,6] => [2,2,2,2]
[6,8,7,1,3,2,5,4] => [2,1,2,2,1]
[2,8,6,5,7,1,4,3] => [2,1,2,2,1]
[5,8,4,3,2,6,7,1] => [2,1,1,3,1]
[1,8,5,6,2,4,7,3] => [2,2,3,1]
[8,1,5,6,2,4,7,3] => [1,3,3,1]
[6,4,8,1,3,2,7,5] => [1,2,2,2,1]
[1,4,5,2,8,6,7,3] => [3,2,2,1]
[2,3,1,7,8,6,4,5] => [2,3,1,2]
[3,5,7,6,2,8,1,4] => [3,1,2,2]
[4,5,6,1,2,8,7,3] => [3,3,1,1]
[5,4,1,2,8,6,7,3] => [1,1,3,2,1]
[8,4,5,2,1,6,7,3] => [1,2,1,3,1]
[3,1,2,6,8,4,7,5] => [1,4,2,1]
[5,1,3,2,7,8,4,6] => [1,2,3,2]
[1,5,4,2,7,8,3,6] => [2,1,3,2]
[4,6,7,8,3,1,5,2] => [4,1,2,1]
[7,6,2,8,4,3,1,5] => [1,1,2,1,1,2]
[5,2,8,6,3,4,7,1] => [1,2,1,3,1]
[5,6,8,4,3,2,7,1] => [3,1,1,2,1]
[5,3,8,1,7,2,4,6] => [1,2,2,3]
[3,6,7,8,4,2,1,5] => [4,1,1,2]
[6,5,1,8,4,3,7,2] => [1,1,2,1,2,1]
[6,3,8,4,2,1,7,5] => [1,2,1,1,2,1]
[2,5,8,3,1,6,7,4] => [3,1,3,1]
[3,5,8,1,2,6,7,4] => [3,4,1]
[3,2,8,1,5,6,7,4] => [1,2,4,1]
[1,5,8,3,2,6,7,4] => [3,1,3,1]
[1,3,8,6,2,4,7,5] => [3,1,3,1]
[3,2,7,8,4,6,1,5] => [1,3,2,2]
[5,1,8,3,4,6,7,2] => [1,2,4,1]
[4,8,7,2,1,6,3,5] => [2,1,1,2,2]
[2,8,1,6,3,4,7,5] => [2,2,3,1]
[8,3,4,2,1,6,5,7] => [1,2,1,2,2]
[6,4,7,2,5,8,1,3] => [1,2,3,2]
[8,4,5,2,6,3,1,7] => [1,2,2,1,2]
[2,4,5,8,3,6,1,7] => [4,2,2]
[3,5,8,1,2,6,4,7] => [3,3,2]
[8,6,1,3,5,2,4,7] => [1,1,3,3]
[8,5,1,2,6,4,3,7] => [1,1,3,1,2]
[5,8,6,1,3,4,2,7] => [2,1,3,2]
[5,8,4,6,1,3,2,7] => [2,2,2,2]
[7,3,4,5,2,8,1,6] => [1,3,2,2]
[5,7,4,3,6,1,8,2] => [2,1,2,2,1]
[2,6,4,3,7,8,5,1] => [2,1,3,1,1]
[7,4,1,8,3,2,5,6] => [1,1,2,1,3]
[6,2,1,7,8,4,5,3] => [1,1,3,2,1]
[7,6,3,1,5,4,8,2] => [1,1,1,2,2,1]
[2,4,6,5,1,7,8,3] => [3,1,3,1]
[1,4,7,5,6,8,2,3] => [3,3,2]
[1,4,7,6,5,8,2,3] => [3,1,2,2]
[3,7,5,2,4,6,8,1] => [2,1,4,1]
[5,6,1,7,4,2,8,3] => [2,2,1,2,1]
[3,7,4,8,1,2,6,5] => [2,2,3,1]
[6,3,5,7,8,1,4,2] => [1,4,2,1]
[3,6,5,7,1,8,4,2] => [2,2,2,1,1]
[6,4,7,8,2,1,3,5] => [1,3,1,3]
[6,7,3,8,4,1,2,5] => [2,2,1,3]
[2,7,8,3,4,6,1,5] => [3,3,2]
[7,5,8,4,1,3,2,6] => [1,2,1,2,2]
[4,7,5,8,3,1,2,6] => [2,2,1,3]
[3,6,7,4,8,1,2,5] => [3,2,3]
[5,7,3,1,6,8,4,2] => [2,1,3,1,1]
[2,7,3,1,8,6,4,5] => [2,1,2,1,2]
[2,8,4,3,1,5,7,6] => [2,1,1,3,1]
[4,8,1,2,3,5,7,6] => [2,5,1]
[7,6,8,1,2,4,3,5] => [1,2,3,2]
[7,6,8,5,1,3,2,4] => [1,2,1,2,2]
[2,8,5,4,6,1,7,3] => [2,1,2,2,1]
[8,4,5,2,7,6,1,3] => [1,2,2,1,2]
[8,7,6,4,1,2,5,3] => [1,1,1,1,3,1]
[6,7,1,3,5,2,8,4] => [2,3,2,1]
[5,7,2,3,6,8,1,4] => [2,4,2]
[8,5,3,2,7,6,1,4] => [1,1,1,2,1,2]
[3,4,6,7,5,8,1,2] => [4,2,2]
[3,4,5,7,6,1,8,2] => [4,1,2,1]
[2,6,4,5,7,8,3,1] => [2,4,1,1]
[3,8,5,1,6,2,7,4] => [2,1,2,2,1]
[2,5,1,3,6,8,7,4] => [2,4,1,1]
[5,4,6,1,3,7,8,2] => [1,2,4,1]
[6,3,5,7,1,4,8,2] => [1,3,3,1]
[7,3,4,6,8,1,5,2] => [1,4,2,1]
[7,5,2,8,4,1,3,6] => [1,1,2,1,3]
[3,7,6,4,1,8,2,5] => [2,1,1,2,2]
[3,7,8,4,1,5,6,2] => [3,1,3,1]
[8,7,5,4,2,1,6,3] => [1,1,1,1,1,2,1]
[3,5,8,6,7,4,2,1] => [3,2,1,1,1]
[5,8,1,6,7,3,4,2] => [2,3,2,1]
[6,7,2,5,1,8,4,3] => [2,2,2,1,1]
[5,8,2,1,6,7,4,3] => [2,1,3,1,1]
[4,5,2,8,6,3,7,1] => [2,2,1,2,1]
[3,6,1,2,5,8,4,7] => [2,4,2]
[1,4,5,8,2,3,7,6] => [4,3,1]
[1,2,6,4,5,8,3,7] => [3,3,2]
[1,5,2,4,6,8,3,7] => [2,4,2]
[3,6,1,5,8,2,4,7] => [2,3,3]
[2,6,5,1,4,8,3,7] => [2,1,3,2]
[5,2,6,1,4,8,3,7] => [1,2,3,2]
[2,5,1,8,4,7,3,6] => [2,2,2,2]
[2,7,1,4,3,6,8,5] => [2,2,3,1]
[1,3,7,5,8,2,4,6] => [3,2,3]
[8,2,1,5,7,3,4,6] => [1,1,3,3]
[2,5,4,8,1,3,7,6] => [2,2,3,1]
[2,4,1,3,8,6,7,5] => [2,3,2,1]
[8,4,3,7,1,2,6,5] => [1,1,2,3,1]
[1,7,3,5,8,2,6,4] => [2,3,2,1]
[1,8,4,2,6,7,3,5] => [2,1,3,2]
[3,1,6,8,7,2,4,5] => [1,3,1,3]
[7,2,1,6,8,3,4,5] => [1,1,3,3]
[3,1,7,6,8,2,4,5] => [1,2,2,3]
[4,1,7,2,6,8,3,5] => [1,2,3,2]
[5,1,7,2,3,6,8,4] => [1,2,4,1]
[7,2,1,6,3,5,8,4] => [1,1,2,3,1]
[2,6,1,7,3,5,8,4] => [2,2,3,1]
[7,1,2,5,3,6,8,4] => [1,3,3,1]
[5,4,1,2,7,8,3,6] => [1,1,4,2]
[8,1,3,2,4,6,7,5] => [1,2,4,1]
[7,3,1,2,4,6,8,5] => [1,1,5,1]
[1,8,3,4,7,2,5,6] => [2,3,3]
[3,5,8,1,2,7,4,6] => [3,3,2]
[3,6,8,1,2,4,7,5] => [3,4,1]
[4,1,3,8,7,2,6,5] => [1,3,1,2,1]
[1,3,7,4,8,2,6,5] => [3,2,2,1]
[1,4,6,8,2,3,7,5] => [4,3,1]
[3,5,8,1,7,2,4,6] => [3,2,3]
[2,6,8,1,7,3,4,5] => [3,2,3]
[6,1,5,8,2,3,7,4] => [1,3,3,1]
[1,8,3,2,7,5,6,4] => [2,1,2,2,1]
[3,1,7,2,8,5,6,4] => [1,2,2,2,1]
[2,6,7,3,8,1,5,4] => [3,2,2,1]
[8,4,1,7,3,6,2,5] => [1,1,2,2,2]
[3,7,2,8,6,1,5,4] => [2,2,1,2,1]
[6,2,3,8,7,1,5,4] => [1,3,1,2,1]
[5,1,7,8,4,2,6,3] => [1,3,1,2,1]
[5,1,8,7,4,2,6,3] => [1,2,1,1,2,1]
[4,7,2,8,3,6,5,1] => [2,2,2,1,1]
[4,1,7,8,5,3,6,2] => [1,3,1,2,1]
[5,1,7,4,8,3,6,2] => [1,2,2,2,1]
[4,1,8,7,5,3,6,2] => [1,2,1,1,2,1]
[4,8,2,7,3,6,5,1] => [2,2,2,1,1]
[4,7,2,6,3,5,8,1] => [2,2,3,1]
[6,8,2,4,3,7,5,1] => [2,2,2,1,1]
[6,7,2,4,3,8,5,1] => [2,2,2,1,1]
[6,8,2,7,3,5,4,1] => [2,2,2,1,1]
[3,8,7,2,4,1,5,6] => [2,1,2,3]
[3,7,8,2,4,1,5,6] => [3,2,3]
[3,6,8,2,4,5,7,1] => [3,4,1]
[3,6,7,2,4,5,8,1] => [3,4,1]
[6,5,1,4,2,3,8,7] => [1,1,2,3,1]
[8,6,1,7,2,5,4,3] => [1,1,2,2,1,1]
[8,7,6,1,2,3,5,4] => [1,1,1,4,1]
[5,4,3,1,6,2,8,7] => [1,1,1,2,2,1]
[8,3,4,7,1,6,2,5] => [1,3,2,2]
[6,3,4,1,8,5,2,7] => [1,2,2,1,2]
[3,8,5,2,7,1,6,4] => [2,1,2,2,1]
[2,8,6,7,5,3,4,1] => [2,2,1,2,1]
[2,1,8,7,3,6,4,5] => [1,2,1,2,2]
[3,6,5,8,2,4,7,1] => [2,2,3,1]
[5,2,1,8,7,3,4,6] => [1,1,2,1,3]
[6,5,2,7,4,3,8,1] => [1,1,2,1,2,1]
[4,6,5,2,7,3,8,1] => [2,1,2,2,1]
[6,2,7,1,8,3,5,4] => [1,2,2,2,1]
[2,7,5,4,8,3,6,1] => [2,1,2,2,1]
[8,7,5,1,2,6,4,3] => [1,1,1,3,1,1]
[8,4,3,2,7,1,6,5] => [1,1,1,2,2,1]
[7,1,6,2,3,8,5,4] => [1,2,3,1,1]
[4,8,1,3,2,7,5,6] => [2,2,2,2]
[3,8,1,4,7,5,2,6] => [2,3,1,2]
[6,3,8,7,4,5,1,2] => [1,2,1,2,2]
[6,1,4,8,5,2,3,7] => [1,3,1,3]
[8,5,7,4,6,2,1,3] => [1,2,2,1,2]
[4,6,7,8,2,3,5,1] => [4,3,1]
[8,7,4,6,2,1,5,3] => [1,1,2,1,2,1]
[7,6,1,3,5,2,8,4] => [1,1,3,2,1]
[5,8,3,2,4,6,1,7] => [2,1,3,2]
[8,2,6,5,3,1,7,4] => [1,2,1,1,2,1]
[4,8,7,6,5,2,3,1] => [2,1,1,1,2,1]
[2,1,8,6,4,3,7,5] => [1,2,1,1,2,1]
[2,1,7,6,5,3,8,4] => [1,2,1,1,2,1]
[2,7,6,1,3,5,8,4] => [2,1,4,1]
[7,2,5,4,6,1,8,3] => [1,2,2,2,1]
[4,7,6,1,2,5,8,3] => [2,1,4,1]
[2,4,1,7,6,8,5,3] => [2,2,2,1,1]
[3,4,1,7,8,5,6,2] => [2,3,2,1]
[7,5,4,3,1,8,6,2] => [1,1,1,1,2,1,1]
[8,5,6,2,7,3,1,4] => [1,2,2,1,2]
[8,4,2,5,6,1,7,3] => [1,1,3,2,1]
[6,3,5,4,1,7,8,2] => [1,2,1,3,1]
[4,1,3,6,7,5,8,2] => [1,4,2,1]
[1,7,5,3,8,2,4,6] => [2,1,2,3]
[1,7,2,4,5,8,3,6] => [2,4,2]
[8,2,5,3,1,6,4,7] => [1,2,1,2,2]
[1,7,4,5,8,3,2,6] => [2,3,1,2]
[2,6,4,7,8,3,5,1] => [2,3,2,1]
[2,6,4,7,8,3,1,5] => [2,3,1,2]
[1,2,6,4,7,8,3,5] => [3,3,2]
[2,7,4,5,8,1,3,6] => [2,3,3]
[2,7,5,3,1,8,4,6] => [2,1,1,2,2]
[6,1,4,7,8,3,5,2] => [1,4,2,1]
[3,6,4,7,8,1,5,2] => [2,3,2,1]
[4,3,6,7,1,8,5,2] => [1,3,2,1,1]
[4,3,6,7,1,8,2,5] => [1,3,2,2]
[3,6,4,7,8,1,2,5] => [2,3,3]
[2,3,6,4,1,7,8,5] => [3,1,3,1]
[4,7,2,1,5,3,8,6] => [2,1,2,2,1]
[3,7,4,5,2,1,8,6] => [2,2,1,2,1]
[1,3,6,4,7,2,8,5] => [3,2,2,1]
[3,6,4,7,2,8,5,1] => [2,2,2,1,1]
[5,1,3,4,2,7,8,6] => [1,3,3,1]
[5,4,2,1,3,7,8,6] => [1,1,1,4,1]
[6,1,7,3,8,2,5,4] => [1,2,2,2,1]
[1,6,7,3,8,2,5,4] => [3,2,2,1]
[6,1,4,7,8,5,2,3] => [1,4,1,2]
[6,3,2,1,7,8,5,4] => [1,1,1,3,1,1]
[6,2,7,3,1,8,5,4] => [1,2,1,2,1,1]
[6,2,4,7,8,1,5,3] => [1,4,2,1]
[2,6,7,3,1,8,5,4] => [3,1,2,1,1]
[8,6,5,1,3,2,4,7] => [1,1,1,2,3]
[6,4,7,8,3,2,5,1] => [1,3,1,2,1]
[3,8,4,7,1,2,5,6] => [2,2,4]
[8,6,1,2,5,4,3,7] => [1,1,3,1,2]
[4,8,6,1,5,3,2,7] => [2,1,2,1,2]
[5,8,6,4,1,3,2,7] => [2,1,1,2,2]
[8,3,6,4,5,2,1,7] => [1,2,2,1,2]
[6,8,5,7,4,2,3,1] => [2,2,1,2,1]
[2,3,8,7,1,6,4,5] => [3,1,2,2]
[4,3,7,8,1,6,2,5] => [1,3,2,2]
[3,5,8,7,4,1,2,6] => [3,1,1,3]
[7,3,8,4,1,2,5,6] => [1,2,1,4]
[4,8,1,2,7,3,5,6] => [2,3,3]
[6,8,1,2,7,4,5,3] => [2,3,2,1]
[5,6,8,4,1,3,7,2] => [3,1,3,1]
[8,5,4,7,1,6,3,2] => [1,1,2,2,1,1]
[2,5,8,7,3,6,4,1] => [3,1,2,1,1]
[2,4,8,7,5,6,1,3] => [3,1,2,2]
[3,7,4,8,5,6,2,1] => [2,2,2,1,1]
[6,4,8,7,5,1,2,3] => [1,2,1,1,3]
[3,8,5,2,4,6,7,1] => [2,1,4,1]
[5,7,1,8,4,6,2,3] => [2,2,2,2]
[6,3,8,7,2,1,4,5] => [1,2,1,1,3]
[2,3,7,8,5,6,1,4] => [4,2,2]
[3,7,6,8,5,1,2,4] => [2,2,1,3]
[2,6,7,8,5,1,3,4] => [4,1,3]
[2,4,7,8,1,6,3,5] => [4,2,2]
[5,4,7,8,2,6,3,1] => [1,3,2,1,1]
[2,8,3,4,1,5,7,6] => [2,2,3,1]
[6,8,3,4,1,2,7,5] => [2,2,3,1]
[6,8,7,1,5,2,3,4] => [2,1,2,3]
[5,8,3,2,7,6,1,4] => [2,1,2,1,2]
[2,5,3,1,8,6,7,4] => [2,1,2,2,1]
[4,5,3,2,8,6,7,1] => [2,1,2,2,1]
[3,5,8,6,1,4,7,2] => [3,1,3,1]
[2,8,5,6,1,4,7,3] => [2,2,3,1]
[4,8,6,1,5,2,7,3] => [2,1,2,2,1]
[5,8,2,3,7,6,1,4] => [2,3,1,2]
[4,6,8,5,3,2,7,1] => [3,1,1,2,1]
[2,6,4,8,5,1,7,3] => [2,2,1,2,1]
[7,6,4,8,5,2,1,3] => [1,1,2,1,1,2]
[3,4,8,6,5,2,7,1] => [3,1,1,2,1]
[3,4,8,7,5,6,2,1] => [3,1,2,1,1]
[7,5,3,2,8,6,1,4] => [1,1,1,2,1,2]
[2,5,1,3,8,6,7,4] => [2,3,2,1]
[4,5,1,2,8,6,7,3] => [2,3,2,1]
[5,4,8,1,3,6,7,2] => [1,2,4,1]
[8,3,5,4,1,6,7,2] => [1,2,1,3,1]
[7,3,4,8,5,6,1,2] => [1,3,2,2]
[6,1,5,7,2,4,8,3] => [1,3,3,1]
[7,4,5,1,2,3,8,6] => [1,2,4,1]
[7,4,3,1,2,8,5,6] => [1,1,1,3,2]
[8,4,7,6,2,1,5,3] => [1,2,1,1,2,1]
[8,4,6,5,7,1,3,2] => [1,2,2,2,1]
[7,2,1,4,5,8,3,6] => [1,1,4,2]
[7,4,1,6,3,5,8,2] => [1,1,2,3,1]
[3,5,7,6,4,1,8,2] => [3,1,1,2,1]
[4,7,5,2,1,3,8,6] => [2,1,1,3,1]
[5,7,2,3,6,4,8,1] => [2,3,2,1]
[8,6,2,3,7,1,4,5] => [1,1,3,3]
[5,7,2,4,8,3,6,1] => [2,3,2,1]
[1,7,2,4,8,6,3,5] => [2,3,1,2]
[7,6,1,5,4,8,3,2] => [1,1,2,2,1,1]
[4,7,3,2,1,8,5,6] => [2,1,1,2,2]
[3,1,7,2,5,8,4,6] => [1,2,3,2]
[4,8,7,6,1,2,5,3] => [2,1,1,3,1]
[7,8,6,1,3,2,5,4] => [2,1,2,2,1]
[2,8,6,7,4,1,3,5] => [2,2,1,3]
[5,8,6,4,2,3,1,7] => [2,1,1,2,2]
[2,8,3,1,6,5,4,7] => [2,1,2,1,2]
[3,8,1,2,5,7,4,6] => [2,4,2]
[6,8,5,4,2,7,3,1] => [2,1,1,2,1,1]
[6,8,3,1,2,4,5,7] => [2,1,5]
[4,6,8,7,3,1,5,2] => [3,1,1,2,1]
[6,5,3,7,8,4,1,2] => [1,1,3,1,2]
[4,1,3,8,7,5,6,2] => [1,3,1,2,1]
[6,2,7,4,8,1,3,5] => [1,2,2,3]
[8,4,5,2,1,6,3,7] => [1,2,1,2,2]
[4,3,2,6,8,1,7,5] => [1,1,3,2,1]
[7,1,5,6,3,8,2,4] => [1,3,2,2]
[5,1,2,4,7,8,3,6] => [1,5,2]
[3,5,4,2,8,1,6,7] => [2,1,2,3]
[5,1,3,8,4,2,7,6] => [1,3,1,2,1]
[6,2,8,7,3,5,4,1] => [1,2,1,2,1,1]
[7,1,8,4,3,6,5,2] => [1,2,1,2,1,1]
[3,6,8,7,4,1,2,5] => [3,1,1,3]
[5,6,8,1,7,3,2,4] => [3,2,1,2]
[3,1,6,8,7,4,2,5] => [1,3,1,1,2]
[7,4,6,8,2,1,5,3] => [1,3,1,2,1]
[6,5,8,4,3,1,2,7] => [1,2,1,1,3]
[2,5,8,3,6,7,4,1] => [3,3,1,1]
[8,5,1,3,7,4,6,2] => [1,1,3,2,1]
[1,5,8,3,7,4,2,6] => [3,2,1,2]
[3,8,2,7,1,5,6,4] => [2,2,3,1]
[5,8,2,3,6,4,1,7] => [2,3,1,2]
[6,8,2,3,4,7,5,1] => [2,4,1,1]
[3,5,8,7,4,2,6,1] => [3,1,1,2,1]
[7,5,1,8,4,2,6,3] => [1,1,2,1,2,1]
[3,6,8,5,2,7,4,1] => [3,1,2,1,1]
[2,1,6,5,4,8,3,7] => [1,2,1,2,2]
[2,1,7,8,4,6,5,3] => [1,3,2,1,1]
[2,1,7,4,3,5,8,6] => [1,2,1,3,1]
[3,5,7,8,4,6,1,2] => [4,2,2]
[7,5,2,8,4,6,3,1] => [1,1,2,2,1,1]
[7,8,2,4,3,1,5,6] => [2,2,1,3]
[7,6,3,8,1,5,4,2] => [1,1,2,2,1,1]
[6,2,7,1,3,5,8,4] => [1,2,4,1]
[6,1,8,2,3,5,4,7] => [1,2,3,2]
[7,2,4,1,6,3,8,5] => [1,2,2,2,1]
[8,4,3,1,7,5,2,6] => [1,1,1,2,1,2]
[7,3,1,4,6,8,5,2] => [1,1,4,1,1]
[7,3,8,5,2,6,4,1] => [1,2,1,2,1,1]
[4,3,8,7,1,6,5,2] => [1,2,1,2,1,1]
[4,7,1,8,5,2,6,3] => [2,2,1,2,1]
[5,3,2,4,7,8,6,1] => [1,1,4,1,1]
[5,2,4,3,6,8,1,7] => [1,2,3,2]
[3,8,6,5,4,1,2,7] => [2,1,1,1,3]
[4,7,5,6,3,8,2,1] => [2,2,2,1,1]
[4,8,5,7,2,3,1,6] => [2,2,2,2]
[4,2,7,5,8,3,6,1] => [1,2,2,2,1]
[5,8,2,7,3,4,6,1] => [2,2,3,1]
[6,8,2,5,4,3,1,7] => [2,2,1,1,2]
[6,7,2,4,5,3,8,1] => [2,3,2,1]
[5,7,2,8,3,6,1,4] => [2,2,2,2]
[6,1,3,4,7,5,8,2] => [1,4,2,1]
[6,3,2,1,4,8,5,7] => [1,1,1,3,2]
[6,2,3,1,4,7,8,5] => [1,2,4,1]
[6,2,1,4,8,7,5,3] => [1,1,3,1,1,1]
[5,2,1,3,6,4,8,7] => [1,1,3,2,1]
[7,1,8,3,5,4,6,2] => [1,2,2,2,1]
[7,1,2,4,8,5,6,3] => [1,4,2,1]
[7,2,1,3,4,5,8,6] => [1,1,5,1]
[8,7,3,5,4,2,1,6] => [1,1,2,1,1,2]
[8,4,6,5,3,2,1,7] => [1,2,1,1,1,2]
[5,1,6,4,3,2,8,7] => [1,2,1,1,2,1]
[8,3,7,1,4,6,5,2] => [1,2,3,1,1]
[2,8,3,6,4,7,5,1] => [2,2,2,1,1]
[6,2,1,7,5,8,3,4] => [1,1,2,2,2]
[6,3,8,7,5,2,1,4] => [1,2,1,1,1,2]
[6,7,2,1,5,8,4,3] => [2,1,3,1,1]
[7,6,8,1,5,4,3,2] => [1,2,2,1,1,1]
[5,4,8,7,6,1,3,2] => [1,2,1,1,2,1]
[7,6,1,8,5,4,3,2] => [1,1,2,1,1,1,1]
[6,5,8,1,7,4,3,2] => [1,2,2,1,1,1]
[6,5,8,7,4,1,3,2] => [1,2,1,1,2,1]
[1,6,4,8,3,2,5,7] => [2,2,1,3]
[1,8,3,5,6,2,4,7] => [2,3,3]
[1,4,8,5,6,2,3,7] => [3,2,3]
[1,2,8,5,3,7,4,6] => [3,1,2,2]
[6,1,4,8,2,3,5,7] => [1,3,4]
[8,7,2,5,6,1,4,3] => [1,1,3,2,1]
[1,8,2,5,4,7,3,6] => [2,2,2,2]
[5,7,4,1,2,3,8,6] => [2,1,4,1]
[1,7,4,2,5,3,8,6] => [2,1,2,2,1]
[6,7,4,2,1,3,8,5] => [2,1,1,3,1]
[6,4,3,8,5,7,1,2] => [1,1,2,2,2]
[7,4,3,6,2,1,5,8] => [1,1,2,1,3]
[7,2,5,3,4,1,6,8] => [1,2,2,3]
[8,3,7,4,5,6,1,2] => [1,2,3,2]
[2,7,4,3,1,5,6,8] => [2,1,1,4]
[6,8,4,2,3,1,5,7] => [2,1,2,3]
[3,7,5,2,4,1,6,8] => [2,1,2,3]
[7,1,3,2,8,4,5,6] => [1,2,2,3]
[2,1,7,4,8,3,5,6] => [1,2,2,3]
[5,2,8,6,1,3,4,7] => [1,2,1,4]
[2,8,3,1,4,5,6,7] => [2,1,5]
[7,4,8,2,3,1,5,6] => [1,2,2,3]
[4,2,7,3,1,5,6,8] => [1,2,1,4]
[6,5,2,4,7,1,3,8] => [1,1,3,3]
[6,5,7,4,1,8,2,3] => [1,2,1,2,2]
[7,6,4,5,1,8,2,3] => [1,1,2,2,2]
[8,6,4,1,3,7,2,5] => [1,1,1,3,2]
[6,4,3,1,8,2,5,7] => [1,1,1,2,3]
[7,4,1,2,8,3,5,6] => [1,1,3,3]
[4,8,1,3,5,7,2,6] => [2,4,2]
[7,8,4,1,3,6,2,5] => [2,1,3,2]
[6,5,8,1,3,7,2,4] => [1,2,3,2]
[5,3,6,1,8,2,4,7] => [1,2,2,3]
[8,3,1,7,2,4,5,6] => [1,1,2,4]
[3,1,8,5,4,7,6,2] => [1,2,1,2,1,1]
[4,1,5,8,3,7,6,2] => [1,3,2,1,1]
[4,1,5,3,8,7,6,2] => [1,2,2,1,1,1]
[4,5,1,8,2,7,6,3] => [2,2,2,1,1]
[4,8,5,3,1,7,6,2] => [2,1,1,2,1,1]
[4,5,2,8,1,7,6,3] => [2,2,2,1,1]
[4,5,2,1,8,7,6,3] => [2,1,2,1,1,1]
[5,6,2,7,8,1,4,3] => [2,3,2,1]
[4,6,2,8,7,1,5,3] => [2,2,1,2,1]
[4,8,6,3,7,1,5,2] => [2,1,2,2,1]
[4,8,6,3,7,5,1,2] => [2,1,2,1,2]
[4,6,8,2,7,5,1,3] => [3,2,1,2]
[4,6,2,8,7,5,1,3] => [2,2,1,1,2]
[5,6,2,7,4,1,8,3] => [2,2,1,2,1]
[5,6,7,2,3,1,8,4] => [3,2,2,1]
[5,6,7,2,8,3,1,4] => [3,2,1,2]
[5,6,7,2,1,8,3,4] => [3,1,2,2]
[5,6,7,2,1,3,8,4] => [3,1,3,1]
[5,6,1,7,8,2,4,3] => [2,3,2,1]
[5,6,1,7,2,4,8,3] => [2,2,3,1]
[5,1,6,7,8,3,4,2] => [1,4,2,1]
[4,1,6,8,7,3,5,2] => [1,3,1,2,1]
[3,1,8,6,7,5,4,2] => [1,2,2,1,1,1]
[4,1,6,8,7,5,3,2] => [1,3,1,1,1,1]
[5,1,6,7,4,8,3,2] => [1,3,2,1,1]
[5,6,1,7,8,4,2,3] => [2,3,1,2]
[4,6,8,1,7,5,2,3] => [3,2,1,2]
[4,8,6,1,7,5,3,2] => [2,1,2,1,1,1]
[5,6,7,1,8,3,2,4] => [3,2,1,2]
[5,6,7,1,3,8,2,4] => [3,3,2]
[5,6,7,1,3,2,8,4] => [3,2,2,1]
[5,6,7,3,1,2,8,4] => [3,1,3,1]
[5,6,7,3,8,1,2,4] => [3,2,3]
[5,6,8,7,4,2,1,3] => [3,1,1,1,2]
[5,6,7,3,8,2,1,4] => [3,2,1,2]
[7,4,6,2,3,5,1,8] => [1,2,3,2]
[1,4,8,6,3,2,5,7] => [3,1,1,3]
[7,4,1,6,3,8,5,2] => [1,1,2,2,1,1]
[7,6,3,1,5,8,4,2] => [1,1,1,3,1,1]
[6,4,2,5,7,3,1,8] => [1,1,3,1,2]
[4,2,5,7,6,3,1,8] => [1,3,1,1,2]
[7,4,5,6,1,8,3,2] => [1,3,2,1,1]
[4,1,5,8,6,3,2,7] => [1,3,1,1,2]
[3,2,7,6,1,8,5,4] => [1,2,1,2,1,1]
[4,7,5,1,6,8,2,3] => [2,1,3,2]
[8,6,5,1,2,7,4,3] => [1,1,1,3,1,1]
[3,2,5,1,4,8,7,6] => [1,2,3,1,1]
[8,5,4,1,3,2,7,6] => [1,1,1,2,2,1]
[1,4,2,3,6,8,7,5] => [2,4,1,1]
[5,4,8,3,7,1,6,2] => [1,2,2,2,1]
[4,7,1,8,2,5,3,6] => [2,2,2,2]
[6,4,1,8,5,3,7,2] => [1,1,2,1,2,1]
[8,4,6,1,3,5,2,7] => [1,2,3,2]
[3,2,5,4,7,8,1,6] => [1,2,3,2]
[5,2,4,3,7,8,1,6] => [1,2,3,2]
[8,1,6,7,2,5,3,4] => [1,3,2,2]
[3,1,7,6,5,8,2,4] => [1,2,1,2,2]
[1,2,7,5,6,8,3,4] => [3,3,2]
[6,1,4,7,2,8,3,5] => [1,3,2,2]
[3,2,1,7,6,8,4,5] => [1,1,2,2,2]
[3,2,8,6,4,7,1,5] => [1,2,1,2,2]
[7,8,4,6,3,2,1,5] => [2,2,1,1,2]
[1,8,6,5,3,7,2,4] => [2,1,1,2,2]
[8,2,5,3,6,7,1,4] => [1,2,3,2]
[3,8,5,2,7,6,1,4] => [2,1,2,1,2]
[4,7,5,3,1,8,6,2] => [2,1,1,2,1,1]
[4,5,3,6,8,1,7,2] => [2,3,2,1]
[3,5,2,6,1,8,7,4] => [2,2,2,1,1]
[1,6,3,5,7,2,8,4] => [2,3,2,1]
[1,5,4,6,7,8,2,3] => [2,4,2]
[8,4,6,5,7,2,1,3] => [1,2,2,1,2]
[7,4,5,2,6,8,1,3] => [1,2,3,2]
[5,4,2,6,8,7,1,3] => [1,1,3,1,2]
[7,8,4,3,1,2,6,5] => [2,1,1,3,1]
[6,5,1,4,3,2,8,7] => [1,1,2,1,2,1]
[2,6,5,1,4,7,3,8] => [2,1,3,2]
[3,6,4,5,2,1,8,7] => [2,2,1,2,1]
[5,7,4,1,3,8,6,2] => [2,1,3,1,1]
[7,5,4,2,3,8,1,6] => [1,1,1,3,2]
[5,2,6,7,3,1,4,8] => [1,3,1,3]
[2,4,3,8,6,1,5,7] => [2,2,1,3]
[7,8,1,3,5,6,2,4] => [2,4,2]
[7,8,3,1,5,6,2,4] => [2,1,3,2]
[7,1,3,8,5,6,2,4] => [1,3,2,2]
[1,7,8,3,5,6,2,4] => [3,3,2]
[5,1,7,8,3,4,6,2] => [1,3,3,1]
[1,5,7,8,3,4,6,2] => [4,3,1]
[3,7,1,5,8,6,2,4] => [2,3,1,2]
[1,3,7,8,2,5,6,4] => [4,3,1]
[3,1,7,8,5,2,6,4] => [1,3,1,2,1]
[1,3,7,5,8,2,6,4] => [3,2,2,1]
[3,1,7,5,8,2,6,4] => [1,2,2,2,1]
[3,5,7,1,8,4,6,2] => [3,2,2,1]
[3,5,7,8,1,4,6,2] => [4,3,1]
[5,3,7,8,4,6,1,2] => [1,3,2,2]
[5,3,7,8,4,1,6,2] => [1,3,1,2,1]
[5,3,7,8,1,4,6,2] => [1,3,3,1]
[5,3,7,1,8,4,6,2] => [1,2,2,2,1]
[1,5,3,7,8,4,2,6] => [2,3,1,2]
[5,1,3,7,8,4,2,6] => [1,4,1,2]
[3,6,2,1,4,5,8,7] => [2,1,4,1]
[4,6,2,5,1,3,8,7] => [2,2,3,1]
[6,4,2,5,1,3,8,7] => [1,1,2,3,1]
[8,6,1,7,3,2,4,5] => [1,1,2,1,3]
[2,5,8,1,7,3,4,6] => [3,2,3]
[6,8,2,7,3,1,4,5] => [2,2,1,3]
[6,8,2,3,7,1,4,5] => [2,3,3]
[8,6,2,7,4,5,1,3] => [1,1,2,2,2]
[5,2,8,1,7,3,4,6] => [1,2,2,3]
[4,2,3,8,1,5,6,7] => [1,3,4]
[5,2,8,3,7,1,4,6] => [1,2,2,3]
[5,2,8,4,6,1,3,7] => [1,2,2,3]
[2,1,5,8,4,3,6,7] => [1,3,1,3]
[5,8,3,2,7,1,4,6] => [2,1,2,3]
[4,1,3,8,2,5,6,7] => [1,3,4]
[3,5,8,2,7,1,4,6] => [3,2,3]
[4,5,8,2,6,1,3,7] => [3,2,3]
[2,6,8,3,7,1,4,5] => [3,2,3]
[5,1,8,3,7,2,4,6] => [1,2,2,3]
[5,1,8,4,6,2,3,7] => [1,2,2,3]
[5,8,4,1,6,2,3,7] => [2,1,2,3]
[4,5,8,1,6,2,3,7] => [3,2,3]
[5,4,8,1,6,2,3,7] => [1,2,2,3]
[4,8,5,1,6,2,3,7] => [2,1,2,3]
[2,1,5,4,8,3,6,7] => [1,2,2,3]
[2,4,3,8,1,5,6,7] => [2,2,4]
[3,1,8,4,2,5,6,7] => [1,2,1,4]
[3,8,4,2,1,5,6,7] => [2,1,1,4]
[2,3,8,4,1,5,6,7] => [3,1,4]
[3,4,2,8,1,5,6,7] => [2,2,4]
[3,8,5,2,7,1,4,6] => [2,1,2,3]
[4,8,5,2,6,1,3,7] => [2,1,2,3]
[2,1,4,8,5,3,6,7] => [1,3,1,3]
[3,2,8,4,1,5,6,7] => [1,2,1,4]
[2,8,4,3,1,5,6,7] => [2,1,1,4]
[4,1,7,5,6,2,8,3] => [1,2,2,2,1]
[5,7,4,3,8,1,6,2] => [2,1,2,2,1]
[5,7,4,3,8,2,6,1] => [2,1,2,2,1]
[3,8,4,2,6,7,5,1] => [2,1,3,1,1]
[3,8,4,1,6,7,5,2] => [2,1,3,1,1]
[6,1,7,5,2,8,4,3] => [1,2,1,2,1,1]
[5,6,4,3,2,8,1,7] => [2,1,1,2,2]
[2,6,7,5,3,8,4,1] => [3,1,2,1,1]
[6,7,4,8,2,5,3,1] => [2,2,2,1,1]
[2,1,6,7,5,3,8,4] => [1,3,1,2,1]
[3,8,4,2,1,6,7,5] => [2,1,1,3,1]
[5,7,4,3,8,2,1,6] => [2,1,2,1,2]
[6,7,4,8,1,2,5,3] => [2,2,3,1]
[6,7,5,8,1,2,4,3] => [2,2,3,1]
[6,7,4,8,3,1,2,5] => [2,2,1,3]
[3,4,8,1,2,5,7,6] => [3,4,1]
[6,1,3,4,8,2,5,7] => [1,4,3]
[6,2,3,4,8,1,5,7] => [1,4,3]
[3,4,8,2,1,5,7,6] => [3,1,3,1]
[6,7,5,8,2,4,3,1] => [2,2,2,1,1]
[6,7,5,8,3,1,4,2] => [2,2,1,2,1]
[3,4,8,1,5,7,6,2] => [3,3,1,1]
[2,5,7,6,1,4,8,3] => [3,1,3,1]
[6,7,4,8,2,3,5,1] => [2,2,3,1]
[6,7,4,8,1,3,5,2] => [2,2,3,1]
[2,6,7,5,1,3,8,4] => [3,1,3,1]
[6,3,1,4,8,2,5,7] => [1,1,3,3]
[6,7,4,8,1,3,2,5] => [2,2,2,2]
[6,7,5,8,4,1,3,2] => [2,2,1,2,1]
[6,7,4,8,2,1,3,5] => [2,2,1,3]
[6,7,4,8,1,2,3,5] => [2,2,4]
[1,5,6,3,4,8,2,7] => [3,3,2]
[1,4,3,6,5,8,2,7] => [2,2,2,2]
[8,1,3,4,7,2,6,5] => [1,4,2,1]
[5,1,7,3,4,8,2,6] => [1,2,3,2]
[6,7,8,2,3,5,4,1] => [3,3,1,1]
[5,8,6,2,3,7,4,1] => [2,1,3,1,1]
[2,8,3,4,7,5,6,1] => [2,3,2,1]
[1,8,3,4,7,6,2,5] => [2,3,1,2]
[8,7,2,3,6,5,4,1] => [1,1,3,1,1,1]
[3,8,1,7,5,2,6,4] => [2,2,1,2,1]
[4,8,1,6,7,2,5,3] => [2,3,2,1]
[2,1,3,8,4,6,5,7] => [1,3,2,2]
[8,2,1,7,4,3,6,5] => [1,1,2,1,2,1]
[1,3,2,8,5,4,6,7] => [2,2,1,3]
[8,3,1,5,7,2,6,4] => [1,1,3,2,1]
[8,4,5,1,7,2,6,3] => [1,2,2,2,1]
[1,5,6,8,7,4,2,3] => [4,1,1,2]
[8,4,5,7,6,3,2,1] => [1,3,1,1,1,1]
[1,4,8,5,7,6,2,3] => [3,2,1,2]
[2,4,8,5,7,3,6,1] => [3,2,2,1]
[4,3,8,6,5,7,2,1] => [1,2,1,2,1,1]
[6,7,2,8,5,3,4,1] => [2,2,1,2,1]
[5,2,7,8,6,3,4,1] => [1,3,1,2,1]
[4,2,8,6,7,3,5,1] => [1,2,2,2,1]
[3,2,8,7,5,4,6,1] => [1,2,1,1,2,1]
[3,1,8,7,5,6,2,4] => [1,2,1,2,2]
[4,1,8,6,7,5,2,3] => [1,2,2,1,2]
[5,1,7,8,6,4,2,3] => [1,3,1,1,2]
[6,7,1,8,5,4,2,3] => [2,2,1,1,2]
[7,8,3,2,6,1,4,5] => [2,1,2,3]
[3,4,8,2,6,1,7,5] => [3,2,2,1]
[7,8,4,1,5,6,3,2] => [2,1,3,1,1]
[7,8,1,4,5,6,3,2] => [2,4,1,1]
[7,8,1,2,6,3,4,5] => [2,3,3]
[7,8,5,1,4,6,3,2] => [2,1,3,1,1]
[7,8,4,5,1,6,3,2] => [2,2,2,1,1]
[5,3,8,4,1,6,7,2] => [1,2,1,3,1]
[6,2,4,8,1,5,3,7] => [1,3,2,2]
[3,4,8,5,1,6,7,2] => [3,1,3,1]
[3,5,8,1,4,6,7,2] => [3,4,1]
[1,4,8,2,6,3,7,5] => [3,2,2,1]
[5,3,8,1,4,6,7,2] => [1,2,4,1]
[4,2,6,8,1,5,3,7] => [1,3,2,2]
[7,4,2,8,1,5,3,6] => [1,1,2,2,2]
[6,1,7,5,8,4,3,2] => [1,2,2,1,1,1]
[6,2,1,8,4,5,3,7] => [1,1,2,2,2]
[1,2,7,8,5,3,4,6] => [4,1,3]
[6,3,7,8,5,4,1,2] => [1,3,1,1,2]
[6,1,5,7,8,4,3,2] => [1,4,1,1,1]
[1,7,5,6,8,4,3,2] => [2,3,1,1,1]
[3,1,8,4,5,6,7,2] => [1,2,4,1]
[2,1,4,8,6,5,3,7] => [1,3,1,1,2]
[2,4,1,8,6,5,3,7] => [2,2,1,1,2]
[4,2,1,8,6,5,3,7] => [1,1,2,1,1,2]
[3,2,7,8,5,1,4,6] => [1,3,1,3]
[2,3,7,8,5,1,4,6] => [4,1,3]
[2,7,3,8,5,1,4,6] => [2,2,1,3]
[3,6,2,8,5,1,4,7] => [2,2,1,3]
[4,1,2,8,7,5,3,6] => [1,3,1,1,2]
[1,4,2,8,7,5,3,6] => [2,2,1,1,2]
[7,3,6,8,5,4,1,2] => [1,3,1,1,2]
[7,2,1,8,5,3,4,6] => [1,1,2,1,3]
[1,2,6,8,4,5,3,7] => [4,2,2]
[7,1,6,5,8,4,3,2] => [1,2,2,1,1,1]
[6,5,7,1,8,4,3,2] => [1,2,2,1,1,1]
[5,7,6,1,8,4,3,2] => [2,1,2,1,1,1]
[6,7,1,5,8,4,3,2] => [2,3,1,1,1]
[6,7,3,8,5,4,1,2] => [2,2,1,1,2]
[7,1,2,8,4,5,3,6] => [1,3,2,2]
[7,6,1,5,8,4,3,2] => [1,1,3,1,1,1]
[7,5,6,1,8,4,3,2] => [1,2,2,1,1,1]
[7,1,6,5,3,2,4,8] => [1,2,1,1,3]
[1,8,7,5,3,2,4,6] => [2,1,1,1,3]
[1,8,7,4,2,5,3,6] => [2,1,1,2,2]
[8,7,4,2,5,3,6,1] => [1,1,1,2,2,1]
[7,1,6,4,2,5,3,8] => [1,2,1,2,2]
[2,6,5,4,7,1,3,8] => [2,1,2,3]
[7,1,5,3,6,4,2,8] => [1,2,2,1,2]
[5,3,7,1,6,4,2,8] => [1,2,2,1,2]
[5,3,6,4,2,7,1,8] => [1,2,1,2,2]
[1,5,3,8,7,4,2,6] => [2,2,1,1,2]
[7,4,2,8,6,3,5,1] => [1,1,2,1,2,1]
[5,3,6,1,8,7,4,2] => [1,2,2,1,1,1]
[6,1,5,3,8,7,4,2] => [1,2,2,1,1,1]
[2,8,7,5,4,6,1,3] => [2,1,1,2,2]
[2,3,1,8,7,5,4,6] => [2,2,1,1,2]
[5,3,8,7,4,2,1,6] => [1,2,1,1,1,2]
[7,4,2,1,8,6,3,5] => [1,1,1,2,1,2]
[8,6,3,5,7,4,2,1] => [1,1,3,1,1,1]
[1,8,6,3,5,7,4,2] => [2,1,3,1,1]
[6,3,8,5,2,1,7,4] => [1,2,1,1,2,1]
[8,6,3,7,4,2,1,5] => [1,1,2,1,1,2]
[2,8,6,4,7,5,1,3] => [2,1,2,1,2]
[5,1,8,6,3,7,4,2] => [1,2,1,2,1,1]
[6,3,7,4,1,8,5,2] => [1,2,1,2,1,1]
[8,5,2,6,3,7,4,1] => [1,1,2,2,1,1]
[6,1,8,7,4,2,5,3] => [1,2,1,1,2,1]
[8,6,3,7,4,2,5,1] => [1,1,2,1,2,1]
[1,8,6,3,2,4,7,5] => [2,1,1,3,1]
[8,6,3,2,4,7,5,1] => [1,1,1,3,1,1]
[7,5,1,8,6,3,2,4] => [1,1,2,1,1,2]
[6,1,8,7,5,3,2,4] => [1,2,1,1,1,2]
[4,3,2,8,7,6,1,5] => [1,1,2,1,1,2]
[2,4,5,1,3,8,7,6] => [3,3,1,1]
[7,5,8,6,3,2,4,1] => [1,2,1,1,2,1]
[1,7,5,8,6,3,2,4] => [2,2,1,1,2]
[1,7,4,2,5,8,6,3] => [2,1,3,1,1]
[8,6,3,1,7,4,2,5] => [1,1,1,2,1,2]
[8,7,4,2,5,3,1,6] => [1,1,1,2,1,2]
[5,3,1,8,7,4,2,6] => [1,1,2,1,1,2]
[4,1,8,7,5,3,2,6] => [1,2,1,1,1,2]
[2,8,6,4,1,3,7,5] => [2,1,1,3,1]
[4,1,8,6,3,2,7,5] => [1,2,1,1,2,1]
[7,4,2,8,6,3,1,5] => [1,1,2,1,1,2]
[6,3,1,8,5,2,7,4] => [1,1,2,1,2,1]
[8,5,2,6,3,1,7,4] => [1,1,2,1,2,1]
[7,4,8,5,2,6,3,1] => [1,2,1,2,1,1]
[1,8,5,2,7,4,6,3] => [2,1,2,2,1]
[8,5,2,7,4,6,3,1] => [1,1,2,2,1,1]
[7,4,6,3,1,8,5,2] => [1,2,1,2,1,1]
[6,3,1,7,4,8,5,2] => [1,1,2,2,1,1]
[8,6,3,1,5,7,4,2] => [1,1,1,3,1,1]
[4,1,7,5,8,6,3,2] => [1,2,2,1,1,1]
[2,3,1,7,5,8,6,4] => [2,2,2,1,1]
[7,4,8,5,2,1,6,3] => [1,2,1,1,2,1]
[8,5,2,1,7,4,6,3] => [1,1,1,2,2,1]
[1,7,4,6,3,8,5,2] => [2,2,2,1,1]
[3,6,5,2,1,4,8,7] => [2,1,1,3,1]
[3,5,6,2,1,4,8,7] => [3,1,3,1]
[3,5,7,8,1,4,2,6] => [4,2,2]
[4,1,8,5,7,3,2,6] => [1,2,2,1,2]
[4,1,7,5,8,3,2,6] => [1,2,2,1,2]
[2,1,5,8,7,4,3,6] => [1,3,1,1,2]
[2,1,5,7,8,4,3,6] => [1,4,1,2]
[5,1,7,4,8,3,2,6] => [1,2,2,1,2]
[4,7,2,8,3,6,1,5] => [2,2,2,2]
[4,6,2,7,3,1,8,5] => [2,2,1,2,1]
[3,7,8,2,4,1,6,5] => [3,2,2,1]
[3,8,7,2,4,1,6,5] => [2,1,2,2,1]
[3,8,6,2,4,1,7,5] => [2,1,2,2,1]
[6,2,8,4,1,7,3,5] => [1,2,1,2,2]
[7,3,4,8,1,6,2,5] => [1,3,2,2]
[6,3,4,8,1,7,2,5] => [1,3,2,2]
[5,3,4,8,1,2,7,6] => [1,3,3,1]
[4,3,5,8,1,2,7,6] => [1,3,3,1]
[1,8,5,4,2,3,7,6] => [2,1,1,3,1]
[3,5,4,8,1,2,7,6] => [2,2,3,1]
[4,5,3,8,1,2,7,6] => [2,2,3,1]
[6,4,3,8,1,7,2,5] => [1,1,2,2,2]
[7,4,3,8,1,6,2,5] => [1,1,2,2,2]
[6,5,3,8,7,1,2,4] => [1,1,2,1,3]
[5,6,3,8,7,1,2,4] => [2,2,1,3]
[4,6,3,8,1,7,2,5] => [2,2,2,2]
[2,6,8,4,1,7,3,5] => [3,1,2,2]
[1,8,7,4,2,6,3,5] => [2,1,1,2,2]
[5,7,3,8,6,1,2,4] => [2,2,1,3]
[3,7,5,8,6,1,2,4] => [2,2,1,3]
[2,7,8,5,6,1,3,4] => [3,2,3]
[1,8,7,5,6,2,3,4] => [2,1,2,3]
[2,6,8,5,7,1,3,4] => [3,2,3]
[5,3,6,8,7,1,2,4] => [1,3,1,3]
[6,3,5,8,7,1,2,4] => [1,3,1,3]
[7,2,8,5,6,1,3,4] => [1,2,2,3]
[5,2,8,6,7,1,3,4] => [1,2,2,3]
[1,8,3,2,7,6,4,5] => [2,1,2,1,2]
[5,2,8,7,6,1,3,4] => [1,2,1,1,3]
[6,2,8,7,5,1,3,4] => [1,2,1,1,3]
[3,4,7,8,1,6,2,5] => [4,2,2]
[1,8,5,7,6,2,3,4] => [2,2,1,3]
[2,5,8,7,6,1,3,4] => [3,1,1,3]
[7,4,6,5,8,1,2,3] => [1,2,2,3]
[3,6,7,8,5,1,2,4] => [4,1,3]
[2,6,8,7,5,1,3,4] => [3,1,1,3]
[1,8,6,7,5,2,3,4] => [2,2,1,3]
[2,7,8,6,5,1,3,4] => [3,1,1,3]
[5,7,6,4,8,1,2,3] => [2,1,2,3]
[6,3,8,7,5,1,2,4] => [1,2,1,1,3]
[2,8,7,4,1,3,5,6] => [2,1,1,4]
[5,4,8,7,1,3,2,6] => [1,2,1,2,2]
[4,8,6,1,3,2,5,7] => [2,1,2,3]
[5,4,2,7,6,8,1,3] => [1,1,2,2,2]
[2,8,7,1,4,5,3,6] => [2,1,3,2]
[4,2,1,8,7,3,5,6] => [1,1,2,1,3]
[5,1,6,3,2,8,7,4] => [1,2,1,2,1,1]
[4,6,1,8,7,3,2,5] => [2,2,1,1,2]
[8,7,2,3,5,4,1,6] => [1,1,3,1,2]
[5,3,1,4,8,7,2,6] => [1,1,3,1,2]
[4,3,5,2,8,7,1,6] => [1,2,2,1,2]
[3,4,2,8,6,1,5,7] => [2,2,1,3]
[3,7,6,8,1,5,2,4] => [2,2,2,2]
[8,1,4,2,3,6,7,5] => [1,2,4,1]
[3,7,2,1,8,6,4,5] => [2,1,2,1,2]
[2,8,6,1,7,3,5,4] => [2,1,2,2,1]
[1,7,6,3,5,8,2,4] => [2,1,3,2]
[3,7,5,1,6,8,2,4] => [2,1,3,2]
[3,6,5,8,1,4,7,2] => [2,2,3,1]
[8,1,5,6,4,7,2,3] => [1,3,2,2]
[3,6,7,4,1,8,2,5] => [3,1,2,2]
[1,7,4,6,8,2,5,3] => [2,3,2,1]
[7,5,8,2,6,3,1,4] => [1,2,2,1,2]
[2,7,1,6,5,4,8,3] => [2,2,1,2,1]
[7,3,2,6,1,8,5,4] => [1,1,2,2,1,1]
[6,4,7,2,3,1,8,5] => [1,2,2,2,1]
[5,3,1,8,4,6,2,7] => [1,1,2,2,2]
[3,8,1,6,7,4,2,5] => [2,3,1,2]
[2,7,4,3,6,8,1,5] => [2,1,3,2]
[2,8,4,6,1,5,3,7] => [2,2,2,2]
[8,4,1,6,3,2,5,7] => [1,1,2,1,3]
[4,7,3,8,5,2,1,6] => [2,2,1,1,2]
[3,1,7,4,8,5,2,6] => [1,2,2,1,2]
[7,4,1,6,3,2,8,5] => [1,1,2,1,2,1]
[3,8,6,2,7,4,1,5] => [2,1,2,1,2]
[7,3,1,4,5,2,8,6] => [1,1,3,2,1]
[6,1,4,8,5,3,2,7] => [1,3,1,1,2]
[8,1,2,4,6,7,5,3] => [1,5,1,1]
[8,1,3,6,7,5,4,2] => [1,4,1,1,1]
[7,5,2,3,8,6,1,4] => [1,1,3,1,2]
[8,6,2,4,1,3,7,5] => [1,1,2,3,1]
[4,7,5,1,8,6,3,2] => [2,1,2,1,1,1]
[4,7,3,2,8,5,6,1] => [2,1,2,2,1]
[8,4,5,7,6,1,3,2] => [1,3,1,2,1]
[7,5,8,4,2,3,6,1] => [1,2,1,3,1]
[3,8,4,6,1,7,5,2] => [2,2,2,1,1]
[3,7,4,6,5,2,8,1] => [2,2,1,2,1]
[4,2,7,6,1,5,8,3] => [1,2,1,3,1]
[8,3,1,4,5,7,6,2] => [1,1,4,1,1]
[3,5,1,6,8,4,7,2] => [2,3,2,1]
[6,1,5,7,3,8,4,2] => [1,3,2,1,1]
[5,8,4,7,3,2,6,1] => [2,2,1,2,1]
[7,2,6,5,8,4,1,3] => [1,2,2,1,2]
[8,3,2,5,1,6,7,4] => [1,1,2,3,1]
[2,6,8,3,7,4,1,5] => [3,2,1,2]
[8,1,5,6,4,7,3,2] => [1,3,2,1,1]
[2,5,8,1,6,4,7,3] => [3,2,2,1]
[7,4,1,8,3,2,6,5] => [1,1,2,1,2,1]
[8,3,7,4,2,1,6,5] => [1,2,1,1,2,1]
[5,2,6,8,3,1,7,4] => [1,3,1,2,1]
[3,6,5,8,4,1,7,2] => [2,2,1,2,1]
[7,3,6,1,8,4,5,2] => [1,2,2,2,1]
[8,2,7,3,4,6,5,1] => [1,2,3,1,1]
[7,3,8,2,5,6,4,1] => [1,2,3,1,1]
[5,7,3,1,6,4,8,2] => [2,1,2,2,1]
[6,1,3,2,4,8,7,5] => [1,2,3,1,1]
[8,7,4,2,3,6,1,5] => [1,1,1,3,2]
[8,7,1,5,4,2,3,6] => [1,1,2,1,3]
[3,7,1,5,2,8,6,4] => [2,2,2,1,1]
[8,7,2,5,4,1,3,6] => [1,1,2,1,3]
[8,7,2,5,3,1,4,6] => [1,1,2,1,3]
[5,2,8,7,1,4,3,6] => [1,2,1,2,2]
[7,1,8,6,2,4,3,5] => [1,2,1,2,2]
[8,1,6,2,7,5,3,4] => [1,2,2,1,2]
[7,1,6,2,8,5,3,4] => [1,2,2,1,2]
[6,3,4,1,7,2,8,5] => [1,2,2,2,1]
[7,2,4,3,5,1,8,6] => [1,2,2,2,1]
[5,1,7,2,3,8,6,4] => [1,2,3,1,1]
[8,2,3,5,1,7,6,4] => [1,3,2,1,1]
[7,6,3,1,4,8,2,5] => [1,1,1,3,2]
[6,1,8,2,7,5,3,4] => [1,2,2,1,2]
[7,2,8,1,6,5,3,4] => [1,2,2,1,2]
[7,2,6,4,3,8,1,5] => [1,2,1,2,2]
[5,1,7,4,3,8,2,6] => [1,2,1,2,2]
[5,3,1,7,4,8,2,6] => [1,1,2,2,2]
[7,4,8,2,1,5,3,6] => [1,2,1,2,2]
[8,2,4,1,6,3,7,5] => [1,2,2,2,1]
[8,2,7,5,1,6,4,3] => [1,2,1,2,1,1]
[6,1,7,3,2,8,5,4] => [1,2,1,2,1,1]
[4,7,2,1,6,3,8,5] => [2,1,2,2,1]
[6,2,1,5,3,8,4,7] => [1,1,2,2,2]
[5,3,1,6,2,8,4,7] => [1,1,2,2,2]
[6,1,5,2,8,4,3,7] => [1,2,2,1,2]
[7,4,3,8,1,5,2,6] => [1,1,2,2,2]
[7,4,8,1,5,3,2,6] => [1,2,2,1,2]
[6,1,5,3,2,8,4,7] => [1,2,1,2,2]
[6,3,2,8,4,1,5,7] => [1,1,2,1,3]
[7,3,4,2,8,5,1,6] => [1,2,2,1,2]
[7,1,6,3,4,2,8,5] => [1,2,2,2,1]
[8,5,1,3,7,4,2,6] => [1,1,3,1,2]
[3,8,6,1,5,2,7,4] => [2,1,2,2,1]
[8,6,1,3,7,5,2,4] => [1,1,3,1,2]
[4,8,5,6,1,7,3,2] => [2,2,2,1,1]
[6,7,1,3,8,5,2,4] => [2,3,1,2]
[3,6,7,1,5,2,8,4] => [3,2,2,1]
[7,1,3,8,4,2,6,5] => [1,3,1,2,1]
[5,6,2,7,1,3,8,4] => [2,2,3,1]
[5,6,2,8,1,3,7,4] => [2,2,3,1]
[6,1,8,3,7,5,2,4] => [1,2,2,1,2]
[7,4,2,1,5,8,3,6] => [1,1,1,3,2]
[7,4,1,5,8,3,2,6] => [1,1,3,1,2]
[7,3,2,6,4,8,1,5] => [1,1,2,2,2]
[6,4,2,7,3,8,1,5] => [1,1,2,2,2]
[5,1,8,3,7,4,2,6] => [1,2,2,1,2]
[7,4,8,3,1,5,2,6] => [1,2,1,2,2]
[5,2,1,7,4,8,3,6] => [1,1,2,2,2]
[6,1,8,4,5,2,7,3] => [1,2,2,2,1]
[7,1,6,4,5,2,8,3] => [1,2,2,2,1]
[3,5,2,7,1,6,8,4] => [2,2,3,1]
[4,5,7,3,1,6,8,2] => [3,1,3,1]
[4,5,7,2,8,6,1,3] => [3,2,1,2]
[3,5,1,7,2,6,8,4] => [2,2,3,1]
[4,5,7,2,8,1,3,6] => [3,2,3]
[4,6,7,2,1,5,8,3] => [3,1,3,1]
[4,6,7,1,3,8,5,2] => [3,3,1,1]
[3,6,1,5,7,8,4,2] => [2,4,1,1]
[4,6,7,1,5,8,3,2] => [3,3,1,1]
[6,1,3,7,4,8,5,2] => [1,3,2,1,1]
[3,2,1,7,4,8,5,6] => [1,1,2,2,2]
[4,1,5,2,7,6,3,8] => [1,2,2,1,2]
[2,5,1,3,7,6,4,8] => [2,3,1,2]
[2,5,1,4,3,8,6,7] => [2,2,2,2]
[3,7,2,1,5,8,6,4] => [2,1,3,1,1]
[6,2,7,1,4,8,5,3] => [1,2,3,1,1]
[3,7,4,2,1,8,5,6] => [2,1,1,2,2]
[7,2,5,3,1,8,6,4] => [1,2,1,2,1,1]
[7,5,1,4,2,8,6,3] => [1,1,2,2,1,1]
[7,5,4,1,3,8,6,2] => [1,1,1,3,1,1]
[5,3,2,1,7,6,4,8] => [1,1,1,2,1,2]
[6,3,2,8,1,5,7,4] => [1,1,2,3,1]
[7,4,3,2,8,1,6,5] => [1,1,1,2,2,1]
[7,6,2,4,8,3,5,1] => [1,1,3,2,1]
[7,3,6,4,8,1,5,2] => [1,2,2,2,1]
[2,7,5,3,8,1,4,6] => [2,1,2,3]
[1,8,5,3,6,4,2,7] => [2,1,2,1,2]
[8,6,2,3,7,5,4,1] => [1,1,3,1,1,1]
[8,6,3,2,7,5,4,1] => [1,1,1,2,1,1,1]
[8,3,2,7,1,6,4,5] => [1,1,2,2,2]
[7,2,6,1,5,4,3,8] => [1,2,2,1,2]
[8,5,7,4,3,6,2,1] => [1,2,1,2,1,1]
[8,5,7,2,4,6,3,1] => [1,2,3,1,1]
[8,4,6,7,1,3,2,5] => [1,3,2,2]
[2,8,5,6,1,4,3,7] => [2,2,2,2]
[7,2,6,8,4,1,5,3] => [1,3,1,2,1]
[7,6,4,8,3,2,5,1] => [1,1,2,1,2,1]
[6,5,8,1,4,2,7,3] => [1,2,2,2,1]
[6,5,8,4,1,3,7,2] => [1,2,1,3,1]
[5,4,8,3,2,1,7,6] => [1,2,1,1,2,1]
[4,3,7,2,1,6,5,8] => [1,2,1,2,2]
[2,5,8,1,4,3,7,6] => [3,2,2,1]
[3,6,8,2,1,5,7,4] => [3,1,3,1]
[5,7,4,8,1,3,6,2] => [2,2,3,1]
[5,7,1,4,8,2,6,3] => [2,3,2,1]
[2,7,4,1,8,3,6,5] => [2,1,2,2,1]
[3,5,1,8,4,2,7,6] => [2,2,1,2,1]
[4,1,5,7,3,6,2,8] => [1,3,2,2]
[4,2,5,8,3,1,7,6] => [1,3,1,2,1]
[6,1,2,7,8,3,5,4] => [1,4,2,1]
[5,3,1,8,6,4,2,7] => [1,1,2,1,1,2]
[3,1,8,4,7,5,2,6] => [1,2,2,1,2]
[4,2,8,7,3,5,1,6] => [1,2,1,2,2]
[4,8,1,7,6,2,3,5] => [2,2,1,3]
[6,8,1,4,7,5,2,3] => [2,3,1,2]
[7,3,8,1,6,4,2,5] => [1,2,2,1,2]
[4,7,8,1,5,3,2,6] => [3,2,1,2]
[7,1,8,6,2,5,3,4] => [1,2,1,2,2]
[5,8,7,1,3,6,4,2] => [2,1,3,1,1]
[3,8,7,2,1,6,4,5] => [2,1,1,2,2]
[2,8,7,1,6,3,5,4] => [2,1,2,2,1]
[3,7,6,1,5,4,2,8] => [2,1,2,1,2]
[4,8,7,6,1,3,5,2] => [2,1,1,3,1]
[5,8,7,2,6,1,4,3] => [2,1,2,2,1]
[6,8,1,7,5,2,4,3] => [2,2,1,2,1]
[7,3,8,6,5,1,2,4] => [1,2,1,1,3]
[5,7,8,4,3,1,2,6] => [3,1,1,3]
[5,8,6,4,3,2,1,7] => [2,1,1,1,1,2]
[8,7,3,6,4,2,1,5] => [1,1,2,1,1,2]
[6,1,4,2,5,3,7,8] => [1,2,2,3]
[1,3,7,5,4,2,8,6] => [3,1,1,2,1]
[6,1,3,5,4,2,7,8] => [1,3,1,3]
[6,1,2,5,4,7,3,8] => [1,3,2,2]
[5,1,6,3,4,7,8,2] => [1,2,4,1]
[5,2,6,3,4,7,1,8] => [1,2,3,2]
[3,4,7,5,8,6,1,2] => [3,2,1,2]
[2,4,7,1,5,3,8,6] => [3,2,2,1]
[2,3,6,7,4,8,1,5] => [4,2,2]
[1,3,6,7,4,8,5,2] => [4,2,1,1]
[2,7,6,5,3,1,8,4] => [2,1,1,1,2,1]
[5,2,6,1,4,7,8,3] => [1,2,4,1]
[4,7,6,5,2,1,8,3] => [2,1,1,1,2,1]
[5,3,6,2,4,1,7,8] => [1,2,2,3]
[5,7,4,2,1,3,6,8] => [2,1,1,4]
[6,3,1,5,4,7,8,2] => [1,1,2,3,1]
[5,3,6,1,4,2,7,8] => [1,2,2,3]
[1,7,4,2,6,3,8,5] => [2,1,2,2,1]
[5,7,4,1,2,3,6,8] => [2,1,5]
[6,4,1,2,5,3,7,8] => [1,1,3,3]
[4,7,6,3,8,5,1,2] => [2,1,2,1,2]
[3,7,6,5,2,8,1,4] => [2,1,1,2,2]
[3,7,6,5,1,2,8,4] => [2,1,1,3,1]
[4,7,2,6,1,3,8,5] => [2,2,3,1]
[2,7,1,6,8,3,5,4] => [2,3,2,1]
[2,7,6,5,8,1,4,3] => [2,1,2,2,1]
[5,2,8,7,6,4,3,1] => [1,2,1,1,1,1,1]
[8,2,7,6,1,5,4,3] => [1,2,1,2,1,1]
[8,4,1,7,6,5,3,2] => [1,1,2,1,1,1,1]
[4,5,6,2,3,8,1,7] => [3,3,2]
[4,5,3,2,7,8,1,6] => [2,1,3,2]
[6,5,7,3,8,4,2,1] => [1,2,2,1,1,1]
[6,8,7,2,4,3,5,1] => [2,1,2,2,1]
[3,2,7,4,5,8,1,6] => [1,2,3,2]
[6,8,1,5,2,4,3,7] => [2,2,2,2]
[8,3,4,6,1,5,2,7] => [1,3,2,2]
[2,3,4,7,5,8,1,6] => [4,2,2]
[6,3,4,7,8,2,5,1] => [1,4,2,1]
[5,3,7,4,8,6,1,2] => [1,2,2,1,2]
[8,3,6,4,1,7,2,5] => [1,2,1,2,2]
[1,3,7,4,8,6,2,5] => [3,2,1,2]
[3,7,8,5,4,1,2,6] => [3,1,1,3]
[5,4,3,1,7,8,2,6] => [1,1,1,3,2]
[5,7,6,2,8,4,1,3] => [2,1,2,1,2]
[6,1,7,5,8,3,4,2] => [1,2,2,2,1]
[7,5,6,4,1,3,8,2] => [1,2,1,3,1]
[1,5,6,8,4,7,3,2] => [4,2,1,1]
[4,1,3,7,6,5,8,2] => [1,3,1,2,1]
[3,4,1,7,5,8,6,2] => [2,2,2,1,1]
[8,5,7,4,3,1,6,2] => [1,2,1,1,2,1]
[6,8,5,1,7,2,4,3] => [2,1,2,2,1]
[8,2,4,1,3,7,6,5] => [1,2,3,1,1]
[7,8,3,6,2,1,4,5] => [2,2,1,3]
[8,1,7,4,2,3,6,5] => [1,2,1,3,1]
[1,8,7,2,3,5,6,4] => [2,1,4,1]
[2,8,3,1,6,7,5,4] => [2,1,3,1,1]
[8,2,3,1,5,7,6,4] => [1,2,3,1,1]
[3,8,4,1,2,7,6,5] => [2,1,3,1,1]
[5,4,7,2,3,6,8,1] => [1,2,4,1]
[6,3,2,1,8,4,7,5] => [1,1,1,2,2,1]
[2,3,7,4,1,8,5,6] => [3,1,2,2]
[6,4,1,3,2,7,8,5] => [1,1,2,3,1]
[2,7,8,5,1,3,6,4] => [3,1,3,1]
[8,2,5,6,7,1,3,4] => [1,4,3]
[2,8,5,4,7,6,1,3] => [2,1,2,1,2]
[6,7,1,5,8,2,4,3] => [2,3,2,1]
[4,8,7,6,2,3,5,1] => [2,1,1,3,1]
[7,8,1,5,3,2,6,4] => [2,2,1,2,1]
[6,5,7,3,8,2,1,4] => [1,2,2,1,2]
[8,1,4,7,2,5,6,3] => [1,3,3,1]
[7,3,4,6,1,5,8,2] => [1,3,3,1]
[8,3,4,5,7,1,6,2] => [1,4,2,1]
[4,2,6,8,3,1,5,7] => [1,3,1,3]
[3,7,6,2,4,5,1,8] => [2,1,3,2]
[2,3,6,5,8,1,4,7] => [3,2,3]
[2,3,5,8,6,1,4,7] => [4,1,3]
[4,2,3,8,6,1,5,7] => [1,3,1,3]
[6,4,1,2,8,3,5,7] => [1,1,3,3]
[1,2,3,7,4,6,8,5] => [4,3,1]
[3,2,7,1,4,5,8,6] => [1,2,4,1]
[2,1,5,3,8,7,4,6] => [1,2,2,1,2]
[5,8,3,2,4,1,6,7] => [2,1,2,3]
[4,2,7,1,8,3,5,6] => [1,2,2,3]
[4,1,8,2,7,3,5,6] => [1,2,2,3]
[1,2,7,5,3,8,4,6] => [3,1,2,2]
[3,2,7,1,4,8,5,6] => [1,2,3,2]
[1,2,3,7,6,8,4,5] => [4,2,2]
[1,2,3,6,8,7,4,5] => [5,1,2]
[1,2,3,7,8,4,6,5] => [5,2,1]
[1,2,3,6,8,4,7,5] => [5,2,1]
[1,2,3,7,8,6,4,5] => [5,1,2]
[6,2,8,3,7,5,1,4] => [1,2,2,1,2]
[4,2,8,3,7,5,6,1] => [1,2,2,2,1]
[7,3,4,8,6,5,1,2] => [1,3,1,1,2]
[5,3,4,8,7,2,6,1] => [1,3,1,2,1]
[4,3,5,8,7,2,6,1] => [1,3,1,2,1]
[4,6,3,8,5,7,2,1] => [2,2,2,1,1]
[7,5,3,8,6,2,4,1] => [1,1,2,1,2,1]
[2,6,8,3,7,4,5,1] => [3,2,2,1]
[1,8,4,3,7,5,6,2] => [2,1,2,2,1]
[2,5,8,3,7,4,6,1] => [3,2,2,1]
[7,4,3,8,6,2,5,1] => [1,1,2,1,2,1]
[3,5,4,8,7,2,6,1] => [2,2,1,2,1]
[4,5,3,8,6,7,2,1] => [2,2,2,1,1]
[3,6,7,8,4,5,2,1] => [4,2,1,1]
[2,6,8,5,4,7,3,1] => [3,1,2,1,1]
[1,8,5,6,4,7,3,2] => [2,2,2,1,1]
[2,5,8,6,4,7,3,1] => [3,1,2,1,1]
[7,4,6,5,8,3,2,1] => [1,2,2,1,1,1]
[6,3,7,8,4,5,2,1] => [1,3,2,1,1]
[4,3,7,8,5,6,2,1] => [1,3,2,1,1]
[5,2,8,6,4,7,3,1] => [1,2,1,2,1,1]
[4,2,8,6,5,7,3,1] => [1,2,1,2,1,1]
[3,2,8,6,7,4,5,1] => [1,2,2,2,1]
[2,3,8,7,5,4,6,1] => [3,1,1,2,1]
[1,8,2,7,4,5,6,3] => [2,2,3,1]
[7,2,8,6,3,4,5,1] => [1,2,1,3,1]
[6,2,8,4,5,7,3,1] => [1,2,3,1,1]
[5,2,8,4,6,7,3,1] => [1,2,3,1,1]
[4,2,8,5,6,7,3,1] => [1,2,3,1,1]
[4,3,6,8,5,7,2,1] => [1,3,2,1,1]
[3,4,6,8,7,2,5,1] => [4,1,2,1]
[7,3,5,8,6,2,4,1] => [1,3,1,2,1]
[1,8,3,5,7,4,6,2] => [2,3,2,1]
[2,7,8,4,5,6,3,1] => [3,3,1,1]
[3,7,5,8,4,6,2,1] => [2,2,2,1,1]
[5,7,4,6,8,3,2,1] => [2,3,1,1,1]
[3,6,5,8,4,7,2,1] => [2,2,2,1,1]
[2,6,8,4,5,7,3,1] => [3,3,1,1]
[4,2,7,1,3,8,5,6] => [1,2,3,2]
[4,2,5,1,3,8,6,7] => [1,2,3,2]
[5,3,6,1,7,2,4,8] => [1,2,2,3]
[3,7,1,2,5,8,6,4] => [2,4,1,1]
[3,7,4,1,2,8,5,6] => [2,1,3,2]
[7,5,1,3,4,8,6,2] => [1,1,4,1,1]
[7,5,1,2,4,8,6,3] => [1,1,4,1,1]
[6,4,2,3,7,1,5,8] => [1,1,3,3]
[7,6,3,8,1,2,5,4] => [1,1,2,3,1]
[7,4,2,3,8,1,6,5] => [1,1,3,2,1]
[4,7,5,2,8,1,3,6] => [2,1,2,3]
[8,2,6,3,7,1,4,5] => [1,2,2,3]
[8,6,1,2,7,4,5,3] => [1,1,3,2,1]
[8,4,7,1,2,3,6,5] => [1,2,4,1]
[8,5,7,1,2,4,6,3] => [1,2,4,1]
[8,5,7,1,3,4,6,2] => [1,2,4,1]
[8,6,2,7,1,3,5,4] => [1,1,2,3,1]
[3,8,5,6,1,2,4,7] => [2,2,4]
[3,7,5,8,1,2,4,6] => [2,2,4]
[7,6,4,8,1,3,5,2] => [1,1,2,3,1]
[6,5,8,1,2,4,7,3] => [1,2,4,1]
[3,6,8,1,2,5,7,4] => [3,4,1]
[3,7,2,4,8,1,6,5] => [2,3,2,1]
[4,6,3,8,1,2,5,7] => [2,2,4]
[4,6,3,7,1,2,5,8] => [2,2,4]
[4,1,7,8,2,3,6,5] => [1,3,3,1]
[5,1,2,8,6,3,4,7] => [1,3,1,3]
[5,3,8,1,6,2,4,7] => [1,2,2,3]
[6,1,8,5,2,3,4,7] => [1,2,1,4]
[6,1,7,5,2,3,4,8] => [1,2,1,4]
[6,8,1,3,7,4,5,2] => [2,3,2,1]
[7,2,8,1,6,3,4,5] => [1,2,2,3]
[4,7,8,2,5,1,3,6] => [3,2,3]
[6,8,2,7,1,4,5,3] => [2,2,3,1]
[4,8,7,1,3,5,6,2] => [2,1,4,1]
[3,8,7,1,2,4,6,5] => [2,1,4,1]
[4,8,7,1,2,3,6,5] => [2,1,4,1]
[5,8,7,1,2,4,6,3] => [2,1,4,1]
[5,8,7,1,3,4,6,2] => [2,1,4,1]
[7,1,8,6,2,3,5,4] => [1,2,1,3,1]
[5,8,6,4,1,2,3,7] => [2,1,1,4]
[7,8,4,1,2,5,3,6] => [2,1,3,2]
[7,8,1,2,6,5,3,4] => [2,3,1,2]
[1,4,8,2,7,5,3,6] => [3,2,1,2]
[6,1,3,4,7,2,5,8] => [1,4,3]
[7,8,2,1,6,3,5,4] => [2,1,2,2,1]
[6,1,2,7,5,4,3,8] => [1,3,1,1,2]
[1,2,8,7,5,4,3,6] => [3,1,1,1,2]
[5,1,7,3,6,4,8,2] => [1,2,2,2,1]
[6,2,1,5,7,4,3,8] => [1,1,3,1,2]
[6,2,3,7,4,1,5,8] => [1,3,1,3]
[3,4,8,7,5,6,1,2] => [3,1,2,2]
[2,3,8,7,4,1,5,6] => [3,1,1,3]
[2,7,3,8,6,4,1,5] => [2,2,1,1,2]
[1,8,3,7,6,4,5,2] => [2,2,1,2,1]
[5,2,7,1,4,6,8,3] => [1,2,4,1]
[4,6,7,5,2,1,8,3] => [3,1,1,2,1]
[6,3,1,4,5,7,8,2] => [1,1,5,1]
[5,3,1,4,6,2,7,8] => [1,1,3,3]
[5,1,2,4,7,6,8,3] => [1,4,2,1]
[5,7,4,1,2,6,3,8] => [2,1,3,2]
[4,8,1,2,6,7,3,5] => [2,4,2]
[4,1,7,8,2,6,3,5] => [1,3,2,2]
[1,2,8,7,6,5,3,4] => [3,1,1,1,2]
[3,1,2,4,6,8,7,5] => [1,5,1,1]
[3,1,8,4,5,7,6,2] => [1,2,3,1,1]
[3,2,8,5,4,7,1,6] => [1,2,1,2,2]
[4,2,8,1,5,3,7,6] => [1,2,2,2,1]
[4,3,8,5,7,6,1,2] => [1,2,2,1,2]
[4,8,2,1,6,3,7,5] => [2,1,2,2,1]
[3,8,6,5,2,7,1,4] => [2,1,1,2,2]
[3,8,5,6,1,7,4,2] => [2,2,2,1,1]
[3,5,7,8,1,2,6,4] => [4,3,1]
[3,7,8,5,2,1,6,4] => [3,1,1,2,1]
[3,7,2,8,4,1,6,5] => [2,2,1,2,1]
[2,8,1,7,4,6,5,3] => [2,2,2,1,1]
[2,8,7,5,1,6,4,3] => [2,1,1,2,1,1]
[2,8,6,7,5,1,4,3] => [2,2,1,2,1]
[5,1,3,4,6,7,2,8] => [1,5,2]
[1,3,4,8,7,5,2,6] => [4,1,1,2]
[8,2,4,1,7,3,5,6] => [1,2,2,3]
[8,6,1,4,2,3,7,5] => [1,1,2,3,1]
[3,6,1,4,2,8,7,5] => [2,2,2,1,1]
[1,6,8,4,3,7,2,5] => [3,1,2,2]
[3,1,4,7,8,5,2,6] => [1,4,1,2]
[6,1,7,4,3,8,2,5] => [1,2,1,2,2]
[1,8,7,4,3,6,2,5] => [2,1,1,2,2]
[7,4,1,3,8,2,6,5] => [1,1,3,2,1]
[4,8,2,3,1,5,7,6] => [2,2,3,1]
[4,8,6,2,1,3,7,5] => [2,1,1,3,1]
[2,7,4,1,8,3,5,6] => [2,1,2,3]
[1,7,8,4,2,3,6,5] => [3,1,3,1]
[4,7,1,3,8,2,6,5] => [2,3,2,1]
[8,7,1,3,4,2,6,5] => [1,1,3,2,1]
[1,7,4,3,6,2,8,5] => [2,1,2,2,1]
[3,8,6,4,5,2,1,7] => [2,1,2,1,2]
[3,8,4,6,5,2,1,7] => [2,2,1,1,2]
[2,4,3,7,5,8,1,6] => [2,2,2,2]
[1,4,7,3,6,2,8,5] => [3,2,2,1]
[1,8,3,4,2,6,7,5] => [2,2,3,1]
[6,4,1,3,7,2,8,5] => [1,1,3,2,1]
[8,1,4,3,6,2,7,5] => [1,2,2,2,1]
[4,2,3,8,5,7,1,6] => [1,3,2,2]
[2,8,5,7,3,4,1,6] => [2,2,2,2]
[5,8,2,6,4,3,1,7] => [2,2,1,1,2]
[7,2,5,8,4,3,1,6] => [1,3,1,1,2]
[4,2,3,5,8,7,1,6] => [1,4,1,2]
[8,2,3,5,4,7,1,6] => [1,3,2,2]
[6,1,8,3,4,2,7,5] => [1,2,2,2,1]
[1,8,6,4,2,3,7,5] => [2,1,1,3,1]
[3,8,4,5,6,2,1,7] => [2,3,1,2]
[2,4,3,5,7,8,1,6] => [2,4,2]
[3,8,6,5,4,2,1,7] => [2,1,1,1,1,2]
[6,3,1,4,2,8,7,5] => [1,1,2,2,1,1]
[7,3,8,1,2,6,4,5] => [1,2,3,2]
[7,1,4,5,3,2,6,8] => [1,3,1,3]
[1,8,4,2,6,5,3,7] => [2,1,2,1,2]
[5,1,4,8,6,3,2,7] => [1,3,1,1,2]
[5,3,1,8,4,7,2,6] => [1,1,2,2,2]
[4,3,8,1,5,7,2,6] => [1,2,3,2]
[6,3,1,2,5,7,4,8] => [1,1,4,2]
[7,1,4,2,6,5,3,8] => [1,2,2,1,2]
[3,8,4,1,6,5,2,7] => [2,1,2,1,2]
[7,5,3,6,4,8,2,1] => [1,1,2,2,1,1]
[7,3,6,4,5,8,2,1] => [1,2,3,1,1]
[8,7,2,4,5,1,6,3] => [1,1,3,2,1]
[7,1,5,4,8,6,3,2] => [1,2,2,1,1,1]
[2,7,5,4,8,6,3,1] => [2,1,2,1,1,1]
[2,1,8,7,5,3,6,4] => [1,2,1,1,2,1]
[5,8,3,7,4,1,6,2] => [2,2,1,2,1]
[8,1,7,4,2,6,5,3] => [1,2,1,2,1,1]
[5,6,3,1,8,4,7,2] => [2,1,2,2,1]
[5,7,1,4,8,6,3,2] => [2,3,1,1,1]
[3,5,7,4,8,6,2,1] => [3,2,1,1,1]
[2,6,7,4,5,8,3,1] => [3,3,1,1]
[6,1,7,4,5,8,3,2] => [1,2,3,1,1]
[5,3,7,4,8,6,2,1] => [1,2,2,1,1,1]
[8,5,3,6,1,4,7,2] => [1,1,2,3,1]
[5,4,3,6,8,2,7,1] => [1,1,3,2,1]
[6,5,3,7,4,8,2,1] => [1,1,2,2,1,1]
[7,5,8,4,1,6,3,2] => [1,2,1,2,1,1]
[2,7,8,4,5,1,6,3] => [3,2,2,1]
[5,7,3,8,4,1,6,2] => [2,2,1,2,1]
[5,6,3,8,1,4,7,2] => [2,2,3,1]
[8,4,1,2,5,6,7,3] => [1,1,5,1]
[3,7,8,4,1,6,5,2] => [3,1,2,1,1]
[6,8,3,1,2,5,7,4] => [2,1,4,1]
[8,5,1,7,2,6,4,3] => [1,1,2,2,1,1]
[8,7,1,4,5,2,6,3] => [1,1,3,2,1]
[7,5,1,8,2,6,3,4] => [1,1,2,2,2]
[8,7,3,1,5,4,2,6] => [1,1,1,2,1,2]
[3,6,2,1,5,4,8,7] => [2,1,2,2,1]
[5,4,2,6,1,3,8,7] => [1,1,2,3,1]
[3,2,6,5,1,4,8,7] => [1,2,1,3,1]
[2,5,8,1,7,4,3,6] => [3,2,1,2]
[6,8,2,7,4,3,1,5] => [2,2,1,1,2]
[6,8,2,3,7,5,1,4] => [2,3,1,2]
[7,6,2,5,4,8,1,3] => [1,1,2,2,2]
[2,6,5,1,8,4,3,7] => [2,1,2,1,2]
[4,2,7,3,1,8,5,6] => [1,2,1,2,2]
[4,2,3,7,1,5,8,6] => [1,3,3,1]
[5,2,7,3,8,6,1,4] => [1,2,2,1,2]
[2,1,5,8,4,3,7,6] => [1,3,1,2,1]
[5,8,4,2,6,7,1,3] => [2,1,3,2]
[3,2,4,8,1,5,7,6] => [1,3,3,1]
[2,4,8,3,1,7,5,6] => [3,1,2,2]
[4,8,3,2,1,7,6,5] => [2,1,1,2,1,1]
[4,1,3,7,2,6,8,5] => [1,3,3,1]
[3,4,8,2,1,6,5,7] => [3,1,2,2]
[6,8,3,7,2,1,5,4] => [2,2,1,2,1]
[3,5,8,1,7,2,6,4] => [3,2,2,1]
[5,1,7,4,6,8,3,2] => [1,2,3,1,1]
[7,6,4,8,1,5,3,2] => [1,1,2,2,1,1]
[5,3,7,1,8,2,6,4] => [1,2,2,2,1]
[2,7,6,3,8,1,4,5] => [2,1,2,3]
[2,1,7,6,4,8,3,5] => [1,2,1,2,2]
[2,1,5,4,8,7,3,6] => [1,2,2,1,2]
[5,4,8,7,2,6,1,3] => [1,2,1,2,2]
[2,4,3,8,7,1,5,6] => [2,2,1,3]
[3,4,1,8,6,2,7,5] => [2,2,1,2,1]
[3,8,5,4,2,1,7,6] => [2,1,1,1,2,1]
[4,8,6,5,2,7,1,3] => [2,1,1,2,2]
[3,2,8,7,5,4,1,6] => [1,2,1,1,1,2]
[2,8,6,5,4,3,1,7] => [2,1,1,1,1,2]
[5,4,2,6,3,1,8,7] => [1,1,2,1,2,1]
[6,5,2,1,3,4,8,7] => [1,1,1,4,1]
[8,5,2,7,3,1,4,6] => [1,1,2,1,3]
[7,3,6,5,2,8,4,1] => [1,2,1,2,1,1]
[7,6,2,3,4,8,5,1] => [1,1,4,1,1]
[8,7,5,3,1,4,2,6] => [1,1,1,1,2,2]
[7,1,5,3,8,4,6,2] => [1,2,2,2,1]
[6,7,2,3,5,8,4,1] => [2,4,1,1]
[3,7,6,4,2,8,5,1] => [2,1,1,2,1,1]
[2,1,7,6,4,8,5,3] => [1,2,1,2,1,1]
[2,1,8,7,4,3,5,6] => [1,2,1,1,3]
[5,8,3,7,2,1,4,6] => [2,2,1,3]
[3,8,7,4,2,1,5,6] => [2,1,1,1,3]
[7,8,2,3,5,1,4,6] => [2,3,3]
[2,8,6,3,1,4,7,5] => [2,1,1,3,1]
[8,1,6,3,2,4,5,7] => [1,2,1,4]
[5,7,1,4,8,3,6,2] => [2,3,2,1]
[6,1,7,5,4,8,3,2] => [1,2,1,2,1,1]
[6,3,7,5,8,4,2,1] => [1,2,2,1,1,1]
[7,6,1,5,8,3,4,2] => [1,1,3,2,1]
[8,6,7,5,1,3,2,4] => [1,2,1,2,2]
[8,5,2,6,1,7,3,4] => [1,1,2,2,2]
[5,4,2,6,8,3,7,1] => [1,1,3,2,1]
[6,5,2,8,1,4,3,7] => [1,1,2,2,2]
[7,4,2,8,1,3,6,5] => [1,1,2,3,1]
[2,7,8,4,5,1,3,6] => [3,2,3]
[5,7,3,8,4,1,2,6] => [2,2,1,3]
[2,4,8,1,5,6,3,7] => [3,3,2]
[3,4,8,1,5,2,7,6] => [3,2,2,1]
[3,6,8,4,1,2,7,5] => [3,1,3,1]
[4,8,1,2,5,3,6,7] => [2,3,3]
[8,1,2,4,3,5,6,7] => [1,3,4]
[5,8,7,4,6,3,2,1] => [2,1,2,1,1,1]
[4,8,7,6,3,5,2,1] => [2,1,1,2,1,1]
[3,8,7,6,5,2,4,1] => [2,1,1,1,2,1]
[5,8,4,7,6,3,2,1] => [2,2,1,1,1,1]
[6,8,5,4,7,3,2,1] => [2,1,2,1,1,1]
[3,8,7,6,2,5,4,1] => [2,1,1,2,1,1]
[4,8,7,6,3,2,5,1] => [2,1,1,1,2,1]
[3,8,7,6,5,2,1,4] => [2,1,1,1,1,2]
[7,5,8,4,6,3,1,2] => [1,2,2,1,2]
[7,6,8,2,5,1,4,3] => [1,2,2,2,1]
[3,5,2,4,7,6,1,8] => [2,3,1,2]
[3,5,4,7,2,6,1,8] => [2,2,2,2]
[3,5,4,7,6,1,2,8] => [2,2,1,3]
[3,5,4,7,6,1,8,2] => [2,2,1,2,1]
[3,5,7,4,6,1,8,2] => [3,2,2,1]
[3,5,7,4,6,1,2,8] => [3,2,3]
[3,5,7,4,6,2,1,8] => [3,2,1,2]
[3,2,5,7,4,6,1,8] => [1,3,2,2]
[3,5,2,7,6,4,1,8] => [2,2,1,1,2]
[3,5,7,2,6,4,1,8] => [3,2,1,2]
[5,3,7,6,2,4,1,8] => [1,2,1,2,2]
[5,3,7,6,1,2,8,4] => [1,2,1,3,1]
[5,3,7,6,1,4,2,8] => [1,2,1,2,2]
[5,3,7,6,4,1,2,8] => [1,2,1,1,3]
[3,5,7,2,6,1,4,8] => [3,2,3]
[3,5,2,7,6,1,4,8] => [2,2,1,3]
[5,3,7,6,4,1,8,2] => [1,2,1,1,2,1]
[3,7,5,4,1,8,2,6] => [2,1,1,2,2]
[3,7,5,4,1,8,6,2] => [2,1,1,2,1,1]
[3,7,5,1,4,8,6,2] => [2,1,3,1,1]
[3,7,5,1,4,8,2,6] => [2,1,3,2]
[3,5,7,1,2,6,8,4] => [3,4,1]
[3,5,7,2,1,6,8,4] => [3,1,3,1]
[3,5,2,7,1,6,4,8] => [2,2,2,2]
[3,5,7,2,1,6,4,8] => [3,1,2,2]
[5,3,7,1,6,2,4,8] => [1,2,2,3]
[3,5,7,1,4,6,8,2] => [3,4,1]
[3,5,7,1,4,6,2,8] => [3,3,2]
[3,5,7,1,4,2,6,8] => [3,2,3]
[3,5,7,2,1,4,6,8] => [3,1,4]
[3,5,2,7,1,4,6,8] => [2,2,4]
[3,2,5,7,4,1,6,8] => [1,3,1,3]
[3,5,2,7,4,1,6,8] => [2,2,1,3]
[3,5,7,4,2,1,6,8] => [3,1,1,3]
[3,5,7,4,1,2,6,8] => [3,1,4]
[3,5,4,7,1,6,8,2] => [2,2,3,1]
[3,5,4,7,1,2,6,8] => [2,2,4]
[3,5,4,7,2,1,6,8] => [2,2,1,3]
[3,5,4,2,7,1,6,8] => [2,1,2,3]
[3,2,5,4,7,1,6,8] => [1,2,2,3]
[3,5,4,7,2,1,8,6] => [2,2,1,2,1]
[3,5,4,7,1,2,8,6] => [2,2,3,1]
[5,7,6,3,1,8,4,2] => [2,1,1,2,1,1]
[5,7,6,3,1,8,2,4] => [2,1,1,2,2]
[3,5,7,4,1,2,8,6] => [3,1,3,1]
[3,5,7,4,2,1,8,6] => [3,1,1,2,1]
[3,2,5,7,4,1,8,6] => [1,3,1,2,1]
[3,2,5,7,1,4,8,6] => [1,3,3,1]
[3,5,2,7,1,4,8,6] => [2,2,3,1]
[3,5,7,2,1,4,8,6] => [3,1,3,1]
[3,5,7,1,4,2,8,6] => [3,2,2,1]
[3,7,5,2,1,8,6,4] => [2,1,1,2,1,1]
[3,7,2,5,1,8,6,4] => [2,2,2,1,1]
[3,2,7,5,1,8,6,4] => [1,2,1,2,1,1]
[3,2,7,5,1,8,4,6] => [1,2,1,2,2]
[3,7,2,5,1,8,4,6] => [2,2,2,2]
[3,7,5,2,1,8,4,6] => [2,1,1,2,2]
[6,1,2,5,7,4,8,3] => [1,4,2,1]
[6,3,2,7,4,1,8,5] => [1,1,2,1,2,1]
[2,1,7,5,8,4,6,3] => [1,2,2,2,1]
[2,7,3,6,8,4,1,5] => [2,3,1,2]
[2,1,8,3,4,7,5,6] => [1,2,3,2]
[5,1,7,2,4,8,3,6] => [1,2,3,2]
[3,4,2,6,7,1,8,5] => [2,3,2,1]
[3,5,8,7,2,1,6,4] => [3,1,1,2,1]
[5,8,3,4,1,7,6,2] => [2,2,2,1,1]
[5,8,7,2,4,1,6,3] => [2,1,2,2,1]
[3,8,6,4,1,7,5,2] => [2,1,1,2,1,1]
[4,3,5,6,8,1,7,2] => [1,4,2,1]
[3,7,6,4,1,8,5,2] => [2,1,1,2,1,1]
[3,7,4,1,8,6,5,2] => [2,1,2,1,1,1]
[3,8,4,1,7,6,5,2] => [2,1,2,1,1,1]
[3,2,7,6,1,5,4,8] => [1,2,1,2,2]
[3,2,8,7,6,1,5,4] => [1,2,1,1,2,1]
[5,7,8,2,4,1,6,3] => [3,2,2,1]
[4,2,5,8,1,6,7,3] => [1,3,3,1]
[4,2,5,8,1,7,3,6] => [1,3,2,2]
[5,8,2,4,1,6,3,7] => [2,2,2,2]
[8,4,2,6,5,1,3,7] => [1,1,2,1,3]
[3,2,6,8,1,5,4,7] => [1,3,2,2]
[8,3,2,5,6,1,4,7] => [1,1,3,3]
[3,2,8,6,7,1,5,4] => [1,2,2,2,1]
[3,2,6,8,7,1,5,4] => [1,3,1,2,1]
[3,2,6,7,1,5,4,8] => [1,3,2,2]
[8,7,3,2,5,6,1,4] => [1,1,1,3,2]
[7,2,8,1,5,3,6,4] => [1,2,2,2,1]
[8,4,2,7,5,1,3,6] => [1,1,2,1,3]
[7,4,2,8,5,1,3,6] => [1,1,2,1,3]
[7,2,4,1,8,3,6,5] => [1,2,2,2,1]
[3,2,8,5,7,1,4,6] => [1,2,2,3]
[2,6,5,7,1,8,3,4] => [2,2,2,2]
[2,5,1,8,7,4,3,6] => [2,2,1,1,2]
[8,1,4,6,3,5,2,7] => [1,3,2,2]
[8,3,5,4,1,6,2,7] => [1,2,1,2,2]
[8,6,3,4,1,5,2,7] => [1,1,2,2,2]
[5,4,7,6,8,2,3,1] => [1,2,2,2,1]
[4,1,8,2,3,7,6,5] => [1,2,3,1,1]
[2,1,8,5,3,4,7,6] => [1,2,1,3,1]
[5,2,4,6,8,7,3,1] => [1,4,1,1,1]
[1,6,8,3,4,5,7,2] => [3,4,1]
[5,7,4,8,6,1,3,2] => [2,2,1,2,1]
[5,4,2,6,7,8,1,3] => [1,1,4,2]
[6,4,2,7,3,5,8,1] => [1,1,2,3,1]
[7,4,1,8,3,5,6,2] => [1,1,2,3,1]
[6,5,4,8,7,3,1,2] => [1,1,2,1,1,2]
[8,7,4,2,1,3,6,5] => [1,1,1,1,3,1]
[8,7,1,3,2,5,6,4] => [1,1,2,3,1]
[6,8,2,3,1,7,5,4] => [2,2,2,1,1]
[7,4,3,2,6,8,5,1] => [1,1,1,3,1,1]
[2,7,4,3,8,5,6,1] => [2,1,2,2,1]
[8,3,7,2,1,5,6,4] => [1,2,1,3,1]
[5,7,8,2,4,3,1,6] => [3,2,1,2]
[8,4,7,3,2,6,1,5] => [1,2,1,2,2]
[8,3,1,6,7,4,2,5] => [1,1,3,1,2]
[3,2,5,7,4,8,1,6] => [1,3,2,2]
[8,2,7,3,4,1,5,6] => [1,2,2,3]
[7,1,6,3,5,8,2,4] => [1,2,3,2]
[2,8,5,6,7,1,4,3] => [2,3,2,1]
[1,5,2,7,8,6,4,3] => [2,3,1,1,1]
[2,6,8,5,1,4,7,3] => [3,1,3,1]
[1,4,2,8,6,5,7,3] => [2,2,1,2,1]
[3,5,1,6,8,7,2,4] => [2,3,1,2]
[5,7,6,2,1,3,8,4] => [2,1,1,3,1]
[2,5,8,7,4,1,6,3] => [3,1,1,2,1]
[4,1,7,5,2,6,8,3] => [1,2,1,3,1]
[7,6,2,4,5,1,8,3] => [1,1,3,2,1]
[7,3,4,2,5,8,6,1] => [1,2,3,1,1]
[8,7,4,2,5,1,6,3] => [1,1,1,2,2,1]
[8,1,4,5,2,6,7,3] => [1,3,3,1]
[5,2,4,8,6,7,1,3] => [1,3,2,2]
[8,5,6,2,1,3,7,4] => [1,2,1,3,1]
[4,2,1,5,6,7,8,3] => [1,1,5,1]
[3,4,6,5,1,7,8,2] => [3,1,3,1]
[7,3,5,2,4,6,1,8] => [1,2,3,2]
[5,3,7,2,4,6,1,8] => [1,2,3,2]
[3,7,5,2,4,6,1,8] => [2,1,3,2]
[5,7,3,2,4,6,1,8] => [2,1,3,2]
[1,5,3,2,4,7,6,8] => [2,1,3,2]
[1,5,3,2,7,4,6,8] => [2,1,2,3]
[5,7,3,2,1,4,6,8] => [2,1,1,4]
[5,7,3,2,4,1,6,8] => [2,1,2,3]
[3,7,2,5,4,1,6,8] => [2,2,1,3]
[5,1,3,2,4,7,6,8] => [1,2,3,2]
[5,1,3,2,7,4,6,8] => [1,2,2,3]
[7,1,3,2,5,4,6,8] => [1,2,2,3]
[1,7,3,2,5,4,6,8] => [2,1,2,3]
[7,1,3,5,2,4,6,8] => [1,3,4]
[5,1,3,7,2,4,6,8] => [1,3,4]
[3,2,7,5,1,4,6,8] => [1,2,1,4]
[3,7,5,1,2,4,6,8] => [2,1,5]
[5,7,3,1,2,4,6,8] => [2,1,5]
[1,5,3,7,2,4,6,8] => [2,2,4]
[5,3,2,7,4,1,6,8] => [1,1,2,1,3]
[5,3,2,4,7,1,6,8] => [1,1,3,3]
[5,3,2,1,4,7,6,8] => [1,1,1,3,2]
[5,3,2,1,7,4,6,8] => [1,1,1,2,3]
[1,3,2,7,5,4,6,8] => [2,2,1,3]
[1,3,7,2,5,4,6,8] => [3,2,3]
[7,3,1,2,5,4,6,8] => [1,1,3,3]
[5,3,1,2,7,4,6,8] => [1,1,3,3]
[5,3,1,2,4,7,6,8] => [1,1,4,2]
[3,2,5,1,4,7,6,8] => [1,2,3,2]
[7,3,1,5,2,4,6,8] => [1,1,2,4]
[1,3,7,5,2,4,6,8] => [3,1,4]
[7,5,1,3,2,4,6,8] => [1,1,2,4]
[5,7,1,3,2,4,6,8] => [2,2,4]
[3,7,1,5,2,4,6,8] => [2,2,4]
[3,7,1,2,5,4,6,8] => [2,3,3]
[3,7,2,1,5,4,6,8] => [2,1,2,3]
[3,2,1,7,5,4,6,8] => [1,1,2,1,3]
[3,1,2,7,5,4,6,8] => [1,3,1,3]
[3,1,7,2,5,4,6,8] => [1,2,2,3]
[3,1,7,5,2,4,6,8] => [1,2,1,4]
[7,1,5,3,2,4,6,8] => [1,2,1,4]
[1,7,5,3,2,4,6,8] => [2,1,1,4]
[1,8,7,4,2,6,5,3] => [2,1,1,2,1,1]
[2,8,5,1,7,6,4,3] => [2,1,2,1,1,1]
[6,8,5,1,2,7,4,3] => [2,1,3,1,1]
[2,8,1,4,7,6,5,3] => [2,3,1,1,1]
[1,8,7,4,3,2,6,5] => [2,1,1,1,2,1]
[1,8,5,4,2,7,6,3] => [2,1,1,2,1,1]
[7,5,3,4,2,8,1,6] => [1,1,2,2,2]
[8,5,3,6,2,4,7,1] => [1,1,2,3,1]
[8,5,6,3,7,4,2,1] => [1,2,2,1,1,1]
[8,5,6,2,7,4,3,1] => [1,2,2,1,1,1]
[8,7,6,3,4,1,5,2] => [1,1,1,2,2,1]
[1,7,2,3,6,8,5,4] => [2,4,1,1]
[3,5,6,4,8,2,7,1] => [3,2,2,1]
[3,5,1,4,8,2,7,6] => [2,3,2,1]
[1,7,5,4,8,2,6,3] => [2,1,2,2,1]
[3,7,5,1,6,4,8,2] => [2,1,2,2,1]
[2,7,5,4,8,1,3,6] => [2,1,2,3]
[2,7,5,4,8,6,1,3] => [2,1,2,1,2]
[1,7,5,4,8,6,3,2] => [2,1,2,1,1,1]
[2,5,1,4,8,7,3,6] => [2,3,1,2]
[3,6,4,2,8,7,1,5] => [2,1,2,1,2]
[3,5,2,4,8,1,6,7] => [2,3,3]
[3,5,6,4,8,1,2,7] => [3,2,3]
[1,5,6,4,8,7,2,3] => [3,2,1,2]
[3,6,4,1,8,7,2,5] => [2,1,2,1,2]
[3,6,4,5,8,7,2,1] => [2,3,1,1,1]
[1,6,4,3,8,5,2,7] => [2,1,2,1,2]
[7,1,3,4,5,8,2,6] => [1,5,2]
[7,6,1,4,5,3,8,2] => [1,1,3,2,1]
[7,6,1,3,5,4,8,2] => [1,1,3,2,1]
[7,1,3,2,5,8,4,6] => [1,2,3,2]
[1,6,4,2,8,5,3,7] => [2,1,2,1,2]
[7,6,5,8,2,4,3,1] => [1,1,2,2,1,1]
[7,6,5,8,3,1,4,2] => [1,1,2,1,2,1]
[2,6,4,3,8,1,7,5] => [2,1,2,2,1]
[2,6,4,3,8,5,7,1] => [2,1,2,2,1]
[7,2,3,1,5,8,6,4] => [1,2,3,1,1]
[7,1,5,6,3,8,4,2] => [1,3,2,1,1]
[7,3,6,5,1,4,8,2] => [1,2,1,3,1]
[7,2,6,5,3,8,1,4] => [1,2,1,2,2]
[7,2,3,1,4,8,6,5] => [1,2,3,1,1]
[7,2,3,5,4,8,6,1] => [1,3,2,1,1]
[2,6,4,5,8,1,7,3] => [2,3,2,1]
[1,5,6,4,8,3,7,2] => [3,2,2,1]
[2,5,6,4,8,3,1,7] => [3,2,1,2]
[3,5,6,1,4,7,8,2] => [3,4,1]
[7,6,1,3,4,5,8,2] => [1,1,5,1]
[7,1,3,2,4,8,5,6] => [1,2,3,2]
[7,6,1,5,3,4,8,2] => [1,1,2,3,1]
[7,6,1,5,4,3,8,2] => [1,1,2,1,2,1]
[1,6,4,5,8,3,2,7] => [2,3,1,2]
[7,6,5,8,1,3,2,4] => [1,1,2,2,2]
[3,4,6,8,7,2,1,5] => [4,1,1,2]
[3,5,6,8,2,1,7,4] => [4,1,2,1]
[4,2,1,5,3,7,8,6] => [1,1,2,3,1]
[4,2,5,6,3,1,8,7] => [1,3,1,2,1]
[3,5,6,8,1,7,2,4] => [4,2,2]
[4,1,5,6,3,2,8,7] => [1,3,1,2,1]
[4,5,3,1,7,2,8,6] => [2,1,2,2,1]
[4,1,3,5,2,7,8,6] => [1,3,3,1]
[2,5,4,7,3,8,6,1] => [2,2,2,1,1]
[3,5,7,1,8,4,2,6] => [3,2,1,2]
[4,1,5,3,2,7,8,6] => [1,2,1,3,1]
[4,5,3,7,1,2,8,6] => [2,2,3,1]
[4,3,6,1,2,7,5,8] => [1,2,3,2]
[5,1,3,2,4,6,7,8] => [1,2,5]
[3,6,1,7,4,5,2,8] => [2,2,2,2]
[5,1,3,4,2,6,7,8] => [1,3,4]
[5,3,1,4,2,6,7,8] => [1,1,2,4]
[4,5,2,3,7,1,8,6] => [2,3,2,1]
[4,2,6,1,3,7,5,8] => [1,2,3,2]
[4,6,2,1,3,7,5,8] => [2,1,3,2]
[3,6,2,1,7,4,8,5] => [2,1,2,2,1]
[3,1,4,7,6,5,2,8] => [1,3,1,1,2]
[3,6,2,7,1,5,8,4] => [2,2,3,1]
[4,6,2,7,1,3,5,8] => [2,2,4]
[3,5,7,1,8,2,6,4] => [3,2,2,1]
[5,1,4,2,3,6,7,8] => [1,2,5]
[3,6,1,7,2,5,8,4] => [2,2,3,1]
[2,6,5,3,4,7,8,1] => [2,1,4,1]
[3,6,1,7,5,4,2,8] => [2,2,1,1,2]
[5,1,4,3,2,6,7,8] => [1,2,1,4]
[5,4,1,3,2,6,7,8] => [1,1,2,4]
[6,4,2,5,3,8,1,7] => [1,1,2,2,2]
[4,6,2,3,5,1,8,7] => [2,3,2,1]
[6,2,4,5,1,8,3,7] => [1,3,2,2]
[8,2,6,7,1,4,5,3] => [1,3,3,1]
[8,2,6,7,4,1,5,3] => [1,3,1,2,1]
[4,6,2,3,5,8,1,7] => [2,4,2]
[2,6,4,1,5,8,3,7] => [2,1,3,2]
[2,8,1,6,7,4,5,3] => [2,3,2,1]
[6,8,4,5,7,2,3,1] => [2,3,2,1]
[2,8,6,1,4,7,5,3] => [2,1,3,1,1]
[2,8,1,6,4,7,5,3] => [2,2,2,1,1]
[2,6,1,4,8,5,3,7] => [2,3,1,2]
[6,4,5,2,8,3,1,7] => [1,2,2,1,2]
[4,2,3,6,1,8,5,7] => [1,3,2,2]
[4,2,3,1,6,8,5,7] => [1,2,3,2]
[4,2,3,8,6,1,7,5] => [1,3,1,2,1]
[6,4,5,8,2,3,7,1] => [1,3,3,1]
[8,6,7,2,4,5,1,3] => [1,2,3,2]
[6,4,8,5,2,3,7,1] => [1,2,1,3,1]
[4,2,8,3,1,6,7,5] => [1,2,1,3,1]
[2,4,8,1,3,6,7,5] => [3,4,1]
[2,4,1,8,3,6,7,5] => [2,2,3,1]
[2,1,4,8,6,3,7,5] => [1,3,1,2,1]
[6,4,8,2,5,3,7,1] => [1,2,2,2,1]
[8,6,2,4,7,5,1,3] => [1,1,3,1,2]
[4,6,8,2,3,5,7,1] => [3,4,1]
[2,6,8,4,1,5,7,3] => [3,1,3,1]
[2,6,8,1,4,5,7,3] => [3,4,1]
[2,1,6,8,4,5,7,3] => [1,3,3,1]
[2,8,1,4,6,7,3,5] => [2,4,2]
[4,8,6,2,3,7,5,1] => [2,1,3,1,1]
[8,4,2,6,7,3,1,5] => [1,1,3,1,2]
[7,6,4,5,1,3,8,2] => [1,1,2,3,1]
[1,6,7,5,3,4,8,2] => [3,1,3,1]
[7,6,2,3,8,4,1,5] => [1,1,3,1,2]
[1,6,7,5,8,2,3,4] => [3,2,3]
[6,2,5,8,3,4,7,1] => [1,3,3,1]
[6,2,3,8,7,4,1,5] => [1,3,1,1,2]
[2,4,7,3,5,8,6,1] => [3,3,1,1]
[2,5,3,7,1,8,4,6] => [2,2,2,2]
[5,2,8,3,1,4,6,7] => [1,2,1,4]
[4,8,2,3,6,5,7,1] => [2,3,2,1]
[5,8,1,3,6,4,7,2] => [2,3,2,1]
[5,8,1,4,3,6,2,7] => [2,2,2,2]
[5,8,4,1,3,7,6,2] => [2,1,3,1,1]
[6,4,5,3,8,1,7,2] => [1,2,2,2,1]
[4,6,5,3,7,1,2,8] => [2,1,2,3]
[4,5,1,3,6,2,8,7] => [2,3,2,1]
[4,2,6,5,1,7,3,8] => [1,2,1,2,2]
[4,3,5,7,2,1,6,8] => [1,3,1,3]
[3,4,7,6,8,1,2,5] => [3,2,3]
[3,4,6,2,5,8,7,1] => [3,3,1,1]
[3,5,2,4,6,1,8,7] => [2,3,2,1]
[4,2,5,1,6,8,3,7] => [1,2,3,2]
[1,8,2,3,6,5,7,4] => [2,3,2,1]
[4,2,8,3,5,7,1,6] => [1,2,3,2]
[4,3,8,6,5,7,1,2] => [1,2,1,2,2]
[1,3,7,2,6,5,8,4] => [3,2,2,1]
[1,3,6,4,2,5,8,7] => [3,1,3,1]
[1,5,4,7,3,6,8,2] => [2,2,3,1]
[5,2,3,8,4,1,7,6] => [1,3,1,2,1]
[7,5,3,4,8,2,1,6] => [1,1,3,1,2]
[7,2,8,3,4,1,5,6] => [1,2,2,3]
[7,4,3,8,5,2,6,1] => [1,1,2,1,2,1]
[4,6,2,7,3,1,5,8] => [2,2,1,3]
[7,6,3,8,2,4,5,1] => [1,1,2,3,1]
[7,2,8,5,1,3,4,6] => [1,2,1,4]
[1,5,3,7,6,8,4,2] => [2,2,2,1,1]
[1,6,3,7,8,2,4,5] => [2,3,3]
[1,4,3,7,8,5,2,6] => [2,3,1,2]
[4,2,6,5,7,8,3,1] => [1,2,3,1,1]
[4,2,6,7,5,8,1,3] => [1,3,2,2]
[3,2,4,7,8,5,1,6] => [1,4,1,2]
[3,2,6,7,8,1,4,5] => [1,4,3]
[5,1,8,3,6,4,7,2] => [1,2,2,2,1]
[3,6,8,5,7,2,1,4] => [3,2,1,2]
[5,1,3,8,7,6,4,2] => [1,3,1,1,1,1]
[3,8,5,6,1,7,2,4] => [2,2,2,2]
[3,4,8,1,7,6,2,5] => [3,2,1,2]
[4,7,6,8,5,1,3,2] => [2,2,1,2,1]
[6,7,4,8,5,1,3,2] => [2,2,1,2,1]
[5,3,6,8,7,1,4,2] => [1,3,1,2,1]
[1,8,4,6,7,2,5,3] => [2,3,2,1]
[5,2,8,3,7,1,6,4] => [1,2,2,2,1]
[7,4,5,8,6,1,3,2] => [1,3,1,2,1]
[4,3,6,8,7,1,5,2] => [1,3,1,2,1]
[6,4,8,3,1,7,5,2] => [1,2,1,2,1,1]
[3,6,5,8,7,1,4,2] => [2,2,1,2,1]
[5,7,4,8,2,6,3,1] => [2,2,2,1,1]
[5,6,4,8,2,7,3,1] => [2,2,2,1,1]
[4,6,3,8,2,7,5,1] => [2,2,2,1,1]
[5,3,8,1,7,2,6,4] => [1,2,2,2,1]
[6,5,3,8,2,7,4,1] => [1,1,2,2,1,1]
[6,4,8,1,3,7,5,2] => [1,2,3,1,1]
[6,2,8,3,4,7,5,1] => [1,2,3,1,1]
[7,6,3,1,4,2,5,8] => [1,1,1,2,3]
[1,5,4,3,7,8,2,6] => [2,1,3,2]
[7,8,4,2,5,3,1,6] => [2,1,2,1,2]
[4,2,7,8,5,3,1,6] => [1,3,1,1,2]
[4,2,5,3,1,7,8,6] => [1,2,1,3,1]
[4,2,8,7,6,3,1,5] => [1,2,1,1,1,2]
[4,2,7,6,3,1,5,8] => [1,2,1,1,3]
[6,3,1,7,5,2,4,8] => [1,1,2,1,3]
[6,3,1,8,7,5,2,4] => [1,1,2,1,1,2]
[8,6,3,1,7,5,2,4] => [1,1,1,2,1,2]
[4,2,7,6,3,1,8,5] => [1,2,1,1,2,1]
[7,6,3,1,8,4,2,5] => [1,1,1,2,1,2]
[7,6,4,2,1,8,3,5] => [1,1,1,1,2,2]
[1,8,2,7,6,4,3,5] => [2,2,1,1,2]
[8,3,5,7,6,4,2,1] => [1,3,1,1,1,1]
[8,4,2,5,7,6,3,1] => [1,1,3,1,1,1]
[7,5,2,4,8,6,3,1] => [1,1,3,1,1,1]
[8,7,5,2,4,6,3,1] => [1,1,1,3,1,1]
[7,5,2,4,6,3,1,8] => [1,1,3,1,2]
[5,2,8,6,3,7,4,1] => [1,2,1,2,1,1]
[8,4,7,5,2,6,3,1] => [1,2,1,2,1,1]
[8,3,6,4,7,5,2,1] => [1,2,2,1,1,1]
[1,8,2,7,5,3,6,4] => [2,2,1,2,1]
[7,5,2,1,8,3,6,4] => [1,1,1,2,2,1]
[7,5,2,6,3,1,8,4] => [1,1,2,1,2,1]
[5,2,7,4,1,8,6,3] => [1,2,1,2,1,1]
[5,2,8,7,4,1,6,3] => [1,2,1,1,2,1]
[8,7,4,1,5,2,6,3] => [1,1,1,2,2,1]
[7,4,1,5,2,8,6,3] => [1,1,2,2,1,1]
[7,6,3,1,4,2,8,5] => [1,1,1,2,2,1]
[7,5,2,8,6,3,1,4] => [1,1,2,1,1,2]
[8,7,5,2,6,3,1,4] => [1,1,1,2,1,2]
[7,5,2,1,3,6,4,8] => [1,1,1,3,2]
[8,7,5,2,1,3,6,4] => [1,1,1,1,3,1]
[7,5,2,1,3,8,6,4] => [1,1,1,3,1,1]
[1,3,7,6,5,8,2,4] => [3,1,2,2]
[8,6,4,7,5,2,1,3] => [1,1,2,1,1,2]
[6,4,8,7,5,2,1,3] => [1,2,1,1,1,2]
[6,4,7,5,2,1,3,8] => [1,2,1,1,3]
[6,3,1,4,7,5,2,8] => [1,1,3,1,2]
[6,3,1,4,8,7,5,2] => [1,1,3,1,1,1]
[8,6,3,1,4,7,5,2] => [1,1,1,3,1,1]
[8,5,7,6,3,1,4,2] => [1,2,1,1,2,1]
[1,8,2,5,7,6,4,3] => [2,3,1,1,1]
[1,8,2,6,4,7,5,3] => [2,2,2,1,1]
[7,5,2,1,6,4,8,3] => [1,1,1,2,2,1]
[6,3,8,7,4,1,5,2] => [1,2,1,1,2,1]
[6,3,7,4,1,5,2,8] => [1,2,1,2,2]
[7,4,1,6,3,5,2,8] => [1,1,2,2,2]
[7,4,1,8,6,3,5,2] => [1,1,2,1,2,1]
[8,4,6,3,1,7,5,2] => [1,2,1,2,1,1]
[6,4,7,5,2,1,8,3] => [1,2,1,1,2,1]
[1,6,4,7,5,3,8,2] => [2,2,1,2,1]
[8,6,3,5,2,7,4,1] => [1,1,2,2,1,1]
[6,3,5,2,8,7,4,1] => [1,2,2,1,1,1]
[6,3,5,2,7,4,1,8] => [1,2,2,1,2]
[1,4,7,3,5,2,6,8] => [3,2,3]
[5,7,4,2,6,3,1,8] => [2,1,2,1,2]
[4,2,6,3,5,7,1,8] => [1,2,3,2]
[1,4,5,8,2,7,3,6] => [4,2,2]
[2,4,5,8,1,6,7,3] => [4,3,1]
[8,3,4,7,1,6,5,2] => [1,3,2,1,1]
[4,2,5,7,8,1,6,3] => [1,4,2,1]
[8,3,4,6,5,1,7,2] => [1,3,1,2,1]
[6,1,3,7,4,2,5,8] => [1,3,1,3]
[3,1,6,8,2,7,4,5] => [1,3,2,2]
[4,8,2,3,1,6,7,5] => [2,2,3,1]
[3,2,6,8,1,5,7,4] => [1,3,3,1]
[8,2,6,1,5,4,7,3] => [1,2,2,2,1]
[8,6,2,7,1,5,4,3] => [1,1,2,2,1,1]
[7,6,8,3,1,5,4,2] => [1,2,1,2,1,1]
[6,3,7,2,8,1,5,4] => [1,2,2,2,1]
[7,5,2,8,6,1,4,3] => [1,1,2,1,2,1]
[2,7,3,8,1,5,6,4] => [2,2,3,1]
[1,6,8,5,2,4,3,7] => [3,1,2,2]
[4,5,7,2,8,1,6,3] => [3,2,2,1]
[4,5,6,8,3,1,7,2] => [4,1,2,1]
[8,4,6,5,3,1,7,2] => [1,2,1,1,2,1]
[5,6,4,8,3,1,7,2] => [2,2,1,2,1]
[4,8,1,6,2,3,7,5] => [2,2,3,1]
[4,5,3,1,7,2,6,8] => [2,1,2,3]
[4,7,3,1,2,6,5,8] => [2,1,3,2]
[5,2,7,1,3,6,4,8] => [1,2,3,2]
[7,8,1,2,4,3,6,5] => [2,3,2,1]
[8,4,1,6,2,3,7,5] => [1,1,2,3,1]
[4,8,3,1,2,5,7,6] => [2,1,4,1]
[4,1,3,6,5,7,8,2] => [1,3,3,1]
[6,1,3,4,2,8,5,7] => [1,3,2,2]
[8,1,4,2,5,7,6,3] => [1,2,3,1,1]
[8,1,4,3,5,7,6,2] => [1,2,3,1,1]
[5,2,4,1,3,7,8,6] => [1,2,4,1]
[2,6,5,3,1,7,8,4] => [2,1,1,3,1]
[8,3,2,1,5,7,6,4] => [1,1,1,3,1,1]
[1,7,4,3,6,8,2,5] => [2,1,3,2]
[2,7,6,3,1,8,4,5] => [2,1,1,2,2]
[2,8,4,6,3,7,5,1] => [2,2,2,1,1]
[8,7,1,3,6,5,4,2] => [1,1,3,1,1,1]
[1,8,5,7,4,2,6,3] => [2,2,1,2,1]
[3,8,6,5,7,1,4,2] => [2,1,2,2,1]
[4,8,6,2,7,1,5,3] => [2,1,2,2,1]
[4,7,5,3,8,2,1,6] => [2,1,2,1,2]
[1,6,5,8,3,4,2,7] => [2,2,2,2]
[6,1,5,3,8,4,2,7] => [1,2,2,1,2]
[8,1,5,4,7,2,6,3] => [1,2,2,2,1]
[2,1,4,7,5,8,3,6] => [1,3,2,2]
[6,3,5,8,7,4,1,2] => [1,3,1,1,2]
[4,7,2,8,5,6,3,1] => [2,2,2,1,1]
[1,4,8,7,3,5,6,2] => [3,1,3,1]
[8,1,7,6,3,5,4,2] => [1,2,1,2,1,1]
[3,6,8,5,7,4,1,2] => [3,2,1,2]
[4,7,6,8,5,3,1,2] => [2,2,1,1,2]
[5,7,2,8,6,4,1,3] => [2,2,1,1,2]
[3,8,7,5,6,4,2,1] => [2,1,2,1,1,1]
[2,8,7,6,4,5,3,1] => [2,1,1,2,1,1]
[1,8,7,6,5,3,4,2] => [2,1,1,1,2,1]
[4,6,7,2,5,3,1,8] => [3,2,1,2]
[3,8,5,7,6,1,4,2] => [2,2,1,2,1]
[1,4,7,8,2,6,5,3] => [4,2,1,1]
[2,4,7,8,1,6,5,3] => [4,2,1,1]
[4,2,6,8,7,1,5,3] => [1,3,1,2,1]
[3,1,7,8,2,6,5,4] => [1,3,2,1,1]
[6,1,3,8,2,7,5,4] => [1,3,2,1,1]
[5,1,8,4,2,7,6,3] => [1,2,1,2,1,1]
[6,8,3,7,1,5,4,2] => [2,2,2,1,1]
[2,7,3,8,1,6,5,4] => [2,2,2,1,1]
[1,7,3,8,2,6,5,4] => [2,2,2,1,1]
[2,6,8,4,1,7,5,3] => [3,1,2,1,1]
[4,6,7,1,2,8,5,3] => [3,3,1,1]
[3,6,1,8,2,7,5,4] => [2,2,2,1,1]
[5,7,4,1,2,8,6,3] => [2,1,3,1,1]
[6,3,7,1,2,8,5,4] => [1,2,3,1,1]
[6,2,1,8,3,7,5,4] => [1,1,2,2,1,1]
[8,1,5,6,3,2,4,7] => [1,3,1,3]
[1,7,8,3,5,2,4,6] => [3,2,3]
[8,5,3,7,2,4,6,1] => [1,1,2,3,1]
[1,7,2,4,8,5,3,6] => [2,3,1,2]
[1,7,8,5,4,3,2,6] => [3,1,1,1,2]
[2,6,8,7,4,3,5,1] => [3,1,1,2,1]
[1,2,6,7,8,4,3,5] => [5,1,2]
[2,7,5,8,4,1,3,6] => [2,2,1,3]
[2,1,7,8,4,5,3,6] => [1,3,2,2]
[3,7,8,2,1,5,4,6] => [3,1,2,2]
[8,5,1,4,7,3,6,2] => [1,1,3,2,1]
[8,4,7,5,3,6,1,2] => [1,2,1,2,2]
[8,1,4,6,7,3,5,2] => [1,4,2,1]
[3,5,8,6,7,4,1,2] => [3,2,1,2]
[3,6,8,4,7,1,5,2] => [3,2,2,1]
[4,7,1,3,6,8,2,5] => [2,4,2]
[3,7,6,4,8,1,2,5] => [2,1,2,3]
[3,1,7,5,6,8,2,4] => [1,2,3,2]
[2,3,6,5,7,1,8,4] => [3,2,2,1]
[3,7,5,4,2,1,8,6] => [2,1,1,1,2,1]
[1,3,6,7,4,2,8,5] => [4,1,2,1]
[3,6,4,8,2,7,5,1] => [2,2,2,1,1]
[1,4,6,3,2,7,8,5] => [3,1,3,1]
[8,7,1,5,6,3,2,4] => [1,1,3,1,2]
[8,1,6,7,5,3,2,4] => [1,3,1,1,2]
[1,7,8,6,5,3,2,4] => [3,1,1,1,2]
[8,7,2,4,6,5,3,1] => [1,1,3,1,1,1]
[1,7,8,2,6,4,5,3] => [3,2,2,1]
[8,7,2,5,4,6,1,3] => [1,1,2,2,2]
[8,7,2,5,3,1,6,4] => [1,1,2,1,2,1]
[8,7,3,2,1,5,6,4] => [1,1,1,1,3,1]
[8,2,6,7,3,1,5,4] => [1,3,1,2,1]
[1,7,2,8,5,6,4,3] => [2,2,2,1,1]
[2,7,1,8,4,6,5,3] => [2,2,2,1,1]
[3,7,8,2,1,6,5,4] => [3,1,2,1,1]
[8,7,6,1,4,5,3,2] => [1,1,1,3,1,1]
[4,8,1,2,3,7,5,6] => [2,4,2]
[1,8,2,3,6,5,4,7] => [2,3,1,2]
[3,5,8,4,7,2,6,1] => [3,2,2,1]
[1,8,5,4,6,2,3,7] => [2,1,2,3]
[3,8,5,4,6,1,2,7] => [2,1,2,3]
[3,8,5,1,6,4,2,7] => [2,1,2,1,2]
[2,8,5,4,6,1,3,7] => [2,1,2,3]
[2,8,5,4,6,3,1,7] => [2,1,2,1,2]
[1,8,5,4,6,3,2,7] => [2,1,2,1,2]
[2,5,8,4,7,3,6,1] => [3,2,2,1]
[3,6,4,2,7,8,5,1] => [2,1,3,1,1]
[3,5,4,1,6,2,7,8] => [2,1,2,3]
[4,5,8,1,7,6,2,3] => [3,2,1,2]
[3,5,8,4,7,1,6,2] => [3,2,2,1]
[1,5,8,4,7,3,6,2] => [3,2,2,1]
[3,6,4,1,7,8,5,2] => [2,1,3,1,1]
[3,6,4,8,7,5,2,1] => [2,2,1,1,1,1]
[1,6,4,3,7,8,5,2] => [2,1,3,1,1]
[7,1,3,4,8,6,5,2] => [1,4,1,1,1]
[7,6,1,3,8,4,2,5] => [1,1,3,1,2]
[1,6,4,2,7,8,3,5] => [2,1,3,2]
[2,6,4,3,7,1,8,5] => [2,1,2,2,1]
[2,6,4,1,7,8,3,5] => [2,1,3,2]
[7,2,3,4,8,6,5,1] => [1,4,1,1,1]
[7,2,3,1,8,6,4,5] => [1,2,2,1,2]
[7,2,3,4,1,6,8,5] => [1,3,3,1]
[1,2,4,3,8,5,7,6] => [3,2,2,1]
[7,3,8,6,1,4,2,5] => [1,2,1,2,2]
[7,2,8,6,3,4,1,5] => [1,2,1,2,2]
[7,2,3,1,5,6,8,4] => [1,2,4,1]
[7,2,3,8,1,6,5,4] => [1,3,2,1,1]
[7,2,3,8,5,6,4,1] => [1,3,2,1,1]
[2,6,4,8,7,1,5,3] => [2,2,1,2,1]
[1,5,8,4,7,6,2,3] => [3,2,1,2]
[3,5,8,1,6,7,2,4] => [3,3,2]
[7,6,1,3,5,8,2,4] => [1,1,4,2]
[7,1,3,2,5,6,8,4] => [1,2,4,1]
[7,1,3,8,2,6,5,4] => [1,3,2,1,1]
[7,6,1,8,5,4,2,3] => [1,1,2,1,1,2]
[4,1,6,5,8,2,7,3] => [1,2,2,2,1]
[3,1,6,5,8,4,7,2] => [1,2,2,2,1]
[3,2,6,5,8,4,7,1] => [1,2,2,2,1]
[4,3,7,1,6,5,8,2] => [1,2,2,2,1]
[5,2,6,4,8,3,7,1] => [1,2,2,2,1]
[5,1,6,4,8,3,7,2] => [1,2,2,2,1]
[5,1,6,4,8,2,7,3] => [1,2,2,2,1]
[4,3,7,5,8,2,6,1] => [1,2,2,2,1]
[5,3,7,4,8,2,6,1] => [1,2,2,2,1]
[5,3,7,4,8,1,6,2] => [1,2,2,2,1]
[5,4,8,1,6,2,7,3] => [1,2,2,2,1]
[4,3,7,2,6,1,8,5] => [1,2,2,2,1]
[4,3,7,1,5,2,8,6] => [1,2,2,2,1]
[4,3,7,1,6,2,8,5] => [1,2,2,2,1]
[5,4,8,2,6,3,7,1] => [1,2,2,2,1]
[5,4,8,1,6,3,7,2] => [1,2,2,2,1]
[5,1,2,7,6,3,8,4] => [1,3,1,2,1]
[4,1,7,5,2,3,6,8] => [1,2,1,4]
[4,7,2,6,3,1,5,8] => [2,2,1,3]
[4,8,2,7,3,5,1,6] => [2,2,2,2]
[4,1,8,7,6,3,2,5] => [1,2,1,1,1,2]
[5,1,8,6,7,3,2,4] => [1,2,2,1,2]
[4,1,7,8,6,3,2,5] => [1,3,1,1,2]
[4,7,2,8,3,5,1,6] => [2,2,2,2]
[1,2,6,8,3,7,4,5] => [4,2,2]
[6,8,3,2,1,4,7,5] => [2,1,1,3,1]
[6,7,5,2,1,8,3,4] => [2,1,1,2,2]
[7,2,4,1,6,5,8,3] => [1,2,2,2,1]
[8,4,3,1,6,5,7,2] => [1,1,1,2,2,1]
[7,5,8,4,3,1,6,2] => [1,2,1,1,2,1]
[6,7,5,2,8,4,1,3] => [2,1,2,1,2]
[6,8,2,4,1,3,7,5] => [2,2,3,1]
[8,4,6,5,7,3,2,1] => [1,2,2,1,1,1]
[5,2,6,7,3,8,4,1] => [1,3,2,1,1]
[5,2,7,6,3,8,4,1] => [1,2,1,2,1,1]
[2,8,4,7,6,3,5,1] => [2,2,1,2,1]
[6,1,2,7,5,8,4,3] => [1,3,2,1,1]
[3,4,7,5,1,6,8,2] => [3,1,3,1]
[7,1,2,6,5,8,4,3] => [1,3,2,1,1]
[8,4,6,5,7,3,1,2] => [1,2,2,1,2]
[6,2,5,7,3,8,4,1] => [1,3,2,1,1]
[7,3,4,6,2,8,5,1] => [1,3,2,1,1]
[4,2,7,3,8,5,6,1] => [1,2,2,2,1]
[4,5,2,6,8,3,7,1] => [2,3,2,1]
[4,8,3,2,5,7,6,1] => [2,1,3,1,1]
[2,6,8,5,3,4,7,1] => [3,1,3,1]
[7,2,4,3,8,5,6,1] => [1,2,2,2,1]
[6,8,5,3,4,7,2,1] => [2,1,3,1,1]
[2,4,7,6,1,5,8,3] => [3,1,3,1]
[8,2,6,7,5,1,4,3] => [1,3,1,2,1]
[6,1,7,5,8,4,2,3] => [1,2,2,1,2]
[3,8,4,5,7,6,2,1] => [2,3,1,1,1]
[8,4,7,6,2,3,5,1] => [1,2,1,3,1]
[6,8,4,1,5,3,7,2] => [2,1,2,2,1]
[6,8,3,4,7,2,5,1] => [2,3,2,1]
[8,3,4,7,6,2,5,1] => [1,3,1,2,1]
[4,7,6,2,5,8,3,1] => [2,1,3,1,1]
[1,8,3,5,2,6,7,4] => [2,2,3,1]
[8,3,5,1,4,7,6,2] => [1,2,3,1,1]
[6,8,3,5,1,4,7,2] => [2,2,3,1]
[6,1,5,8,4,3,7,2] => [1,3,1,2,1]
[6,8,4,7,2,3,5,1] => [2,2,3,1]
[1,7,2,6,5,8,4,3] => [2,2,2,1,1]
[7,1,6,5,8,4,2,3] => [1,2,2,1,2]
[7,5,3,4,8,2,6,1] => [1,1,3,2,1]
[5,3,8,2,4,7,6,1] => [1,2,3,1,1]
[6,7,2,8,5,4,3,1] => [2,2,1,1,1,1]
[3,7,4,6,2,8,5,1] => [2,2,2,1,1]
[7,4,2,3,8,5,6,1] => [1,1,3,2,1]
[6,8,5,4,2,3,7,1] => [2,1,1,3,1]
[6,8,4,7,1,3,5,2] => [2,2,3,1]
[5,8,2,4,3,7,6,1] => [2,2,2,1,1]
[3,4,5,8,2,7,6,1] => [4,2,1,1]
[6,8,3,4,5,2,7,1] => [2,3,2,1]
[6,7,1,5,3,8,4,2] => [2,2,2,1,1]
[7,4,6,3,2,8,5,1] => [1,2,1,2,1,1]
[8,2,1,3,5,6,4,7] => [1,1,4,2]
[8,2,1,3,5,4,7,6] => [1,1,3,2,1]
[8,2,1,3,4,6,7,5] => [1,1,5,1]
[8,1,3,4,2,6,5,7] => [1,3,2,2]
[8,1,3,4,2,5,7,6] => [1,3,3,1]
[8,1,3,2,5,6,4,7] => [1,2,3,2]
[8,1,2,4,5,3,7,6] => [1,4,2,1]
[8,1,2,4,3,6,7,5] => [1,3,3,1]
[6,5,3,8,4,2,7,1] => [1,1,2,1,2,1]
[7,4,5,1,6,2,8,3] => [1,2,2,2,1]
[4,7,3,5,6,2,8,1] => [2,3,2,1]
[6,7,8,4,1,3,5,2] => [3,1,3,1]
[3,1,6,8,4,7,5,2] => [1,3,2,1,1]
[8,3,6,1,5,7,4,2] => [1,2,3,1,1]
[2,7,3,5,8,6,4,1] => [2,3,1,1,1]
[3,2,7,5,8,6,1,4] => [1,2,2,1,2]
[2,4,7,5,8,6,1,3] => [3,2,1,2]
[2,5,4,7,8,1,6,3] => [2,3,2,1]
[2,4,6,7,8,1,5,3] => [5,2,1]
[2,4,7,6,1,8,5,3] => [3,1,2,1,1]
[2,4,6,8,1,7,5,3] => [4,2,1,1]
[7,3,6,8,2,5,1,4] => [1,3,2,2]
[5,7,3,8,6,2,1,4] => [2,2,1,1,2]
[7,4,3,8,6,2,1,5] => [1,1,2,1,1,2]
[2,4,7,8,3,5,6,1] => [4,3,1]
[3,4,7,2,8,5,1,6] => [3,2,1,2]
[3,5,2,7,8,1,4,6] => [2,3,3]
[3,2,7,6,1,8,4,5] => [1,2,1,2,2]
[3,2,6,8,1,7,4,5] => [1,3,2,2]
[3,5,2,8,1,4,7,6] => [2,2,3,1]
[4,3,6,2,1,8,5,7] => [1,2,1,2,2]
[3,6,4,2,5,8,1,7] => [2,1,3,2]
[4,6,2,3,5,8,7,1] => [2,4,1,1]
[4,6,2,3,7,5,8,1] => [2,3,2,1]
[3,6,4,2,7,5,1,8] => [2,1,2,1,2]
[4,3,6,2,7,1,5,8] => [1,2,2,3]
[3,6,5,2,1,7,4,8] => [2,1,1,2,2]
[4,8,6,3,2,1,5,7] => [2,1,1,1,3]
[7,4,6,3,2,1,5,8] => [1,2,1,1,3]
[5,8,4,2,3,6,7,1] => [2,1,4,1]
[6,4,8,3,2,1,5,7] => [1,2,1,1,3]
[8,4,5,3,2,1,7,6] => [1,2,1,1,2,1]
[5,8,3,4,2,1,7,6] => [2,2,1,2,1]
[6,8,4,2,3,7,5,1] => [2,1,3,1,1]
[3,6,4,2,1,8,7,5] => [2,1,1,2,1,1]
[6,4,8,3,2,7,1,5] => [1,2,1,2,2]
[5,6,8,3,2,7,1,4] => [3,1,2,2]
[5,8,3,7,2,1,6,4] => [2,2,1,2,1]
[2,8,5,7,4,1,6,3] => [2,2,1,2,1]
[2,8,6,5,4,1,7,3] => [2,1,1,1,2,1]
[2,5,6,4,1,8,7,3] => [3,1,2,1,1]
[2,8,6,4,5,7,1,3] => [2,1,3,2]
[3,8,6,2,5,7,1,4] => [2,1,3,2]
[2,8,6,5,3,7,4,1] => [2,1,1,2,1,1]
[2,5,6,4,7,1,8,3] => [3,2,2,1]
[2,6,5,4,1,7,8,3] => [2,1,1,3,1]
[2,5,4,8,1,6,7,3] => [2,2,3,1]
[5,7,6,3,2,8,1,4] => [2,1,1,2,2]
[6,5,7,3,2,8,1,4] => [1,2,1,2,2]
[6,4,7,3,8,2,1,5] => [1,2,2,1,2]
[3,6,4,2,7,1,8,5] => [2,1,2,2,1]
[7,5,4,2,3,8,6,1] => [1,1,1,3,1,1]
[6,7,4,3,2,1,8,5] => [2,1,1,1,2,1]
[8,4,3,6,2,1,7,5] => [1,1,2,1,2,1]
[8,4,3,7,2,1,5,6] => [1,1,2,1,3]
[8,4,6,3,2,1,5,7] => [1,2,1,1,3]
[4,6,3,2,1,5,7,8] => [2,1,1,4]
[1,2,6,5,8,7,3,4] => [3,2,1,2]
[1,5,2,8,4,6,7,3] => [2,2,3,1]
[1,5,2,7,4,6,8,3] => [2,2,3,1]
[5,1,2,7,3,6,8,4] => [1,3,3,1]
[5,1,2,8,3,6,7,4] => [1,3,3,1]
[5,6,3,4,8,7,2,1] => [2,3,1,1,1]
[6,5,3,4,8,7,2,1] => [1,1,3,1,1,1]
[4,1,2,8,3,6,7,5] => [1,3,3,1]
[4,1,2,7,3,6,8,5] => [1,3,3,1]
[5,1,2,8,3,6,4,7] => [1,3,2,2]
[7,5,3,8,4,6,2,1] => [1,1,2,2,1,1]
[8,5,3,7,4,6,2,1] => [1,1,2,2,1,1]
[4,1,2,7,3,6,5,8] => [1,3,2,2]
[6,1,7,2,3,5,4,8] => [1,2,3,2]
[1,6,7,2,4,5,3,8] => [3,3,2]
[1,6,8,2,4,5,3,7] => [3,3,2]
[5,8,1,2,3,4,7,6] => [2,5,1]
[7,1,8,2,3,5,4,6] => [1,2,3,2]
[7,1,2,8,3,6,4,5] => [1,3,2,2]
[6,1,8,2,3,5,7,4] => [1,2,4,1]
[6,1,7,2,3,5,8,4] => [1,2,4,1]
[1,6,7,2,4,5,8,3] => [3,4,1]
[1,6,8,2,4,5,7,3] => [3,4,1]
[4,3,8,7,5,6,2,1] => [1,2,1,2,1,1]
[1,8,2,7,4,6,5,3] => [2,2,2,1,1]
[1,8,6,2,4,5,7,3] => [2,1,4,1]
[1,7,6,2,4,5,8,3] => [2,1,4,1]
[7,1,6,2,3,5,8,4] => [1,2,4,1]
[8,1,6,2,3,5,7,4] => [1,2,4,1]
[8,1,7,2,3,5,6,4] => [1,2,4,1]
[5,8,3,7,4,6,2,1] => [2,2,2,1,1]
[6,8,7,3,4,5,2,1] => [2,1,3,1,1]
[1,8,7,2,4,5,3,6] => [2,1,3,2]
[8,1,7,2,3,5,4,6] => [1,2,3,2]
[8,7,1,2,3,4,6,5] => [1,1,5,1]
[8,6,1,2,3,4,7,5] => [1,1,5,1]
[8,5,1,2,3,4,7,6] => [1,1,5,1]
[8,1,6,2,3,5,4,7] => [1,2,3,2]
[1,8,6,2,4,5,3,7] => [2,1,3,2]
[1,7,6,2,4,5,3,8] => [2,1,3,2]
[7,1,6,2,3,5,4,8] => [1,2,3,2]
[1,8,7,4,6,3,5,2] => [2,1,2,2,1]
[4,7,2,6,1,8,5,3] => [2,2,2,1,1]
[6,7,2,5,1,4,8,3] => [2,2,3,1]
[6,3,7,5,1,4,8,2] => [1,2,1,3,1]
[4,2,5,8,7,3,6,1] => [1,3,1,2,1]
[8,1,2,4,7,3,6,5] => [1,4,2,1]
[1,8,3,5,7,2,6,4] => [2,3,2,1]
[1,3,4,8,7,5,6,2] => [4,1,2,1]
[2,3,4,6,8,5,7,1] => [5,2,1]
[2,3,5,7,4,8,6,1] => [4,2,1,1]
[2,4,6,3,7,8,5,1] => [3,3,1,1]
[2,5,7,1,8,6,3,4] => [3,2,1,2]
[1,5,6,8,3,7,4,2] => [4,2,1,1]
[8,1,3,5,2,7,4,6] => [1,3,2,2]
[8,2,4,5,1,3,7,6] => [1,3,3,1]
[1,3,8,5,2,4,6,7] => [3,1,4]
[1,4,7,8,3,5,6,2] => [4,3,1]
[2,6,7,1,8,4,5,3] => [3,2,2,1]
[4,5,6,1,3,7,8,2] => [3,4,1]
[3,4,1,8,5,2,6,7] => [2,2,1,3]
[2,4,8,1,5,3,6,7] => [3,2,3]
[5,8,3,1,4,2,6,7] => [2,1,2,3]
[8,2,4,1,5,7,3,6] => [1,2,3,2]
[3,8,4,2,6,7,1,5] => [2,1,3,2]
[2,4,1,8,5,6,3,7] => [2,2,2,2]
[1,6,2,7,8,5,3,4] => [2,3,1,2]
[3,5,2,6,7,8,4,1] => [2,4,1,1]
[4,5,1,6,7,3,8,2] => [2,3,2,1]
[2,8,4,1,7,5,3,6] => [2,1,2,1,2]
[8,5,3,1,7,4,2,6] => [1,1,1,2,1,2]
[4,2,8,7,1,5,3,6] => [1,2,1,2,2]
[5,2,6,8,1,7,4,3] => [1,3,2,1,1]
[5,2,7,1,6,8,3,4] => [1,2,3,2]
[5,7,3,2,6,8,1,4] => [2,1,3,2]
[8,4,7,3,1,6,2,5] => [1,2,1,2,2]
[5,7,1,2,8,4,6,3] => [2,3,2,1]
[6,7,1,2,3,5,8,4] => [2,5,1]
[6,1,7,2,3,8,5,4] => [1,2,3,1,1]
[3,2,8,6,1,4,5,7] => [1,2,1,4]
[3,1,6,7,8,4,2,5] => [1,4,1,2]
[3,1,4,8,5,6,2,7] => [1,3,2,2]
[5,1,8,2,3,6,4,7] => [1,2,3,2]
[8,3,1,4,5,7,2,6] => [1,1,4,2]
[8,6,2,3,5,1,4,7] => [1,1,3,3]
[8,2,4,5,7,3,1,6] => [1,4,1,2]
[2,6,3,8,7,5,4,1] => [2,2,1,1,1,1]
[8,2,3,7,5,4,1,6] => [1,3,1,1,2]
[8,2,6,3,5,4,1,7] => [1,2,2,1,2]
[8,6,1,5,2,4,3,7] => [1,1,2,2,2]
[8,6,2,4,1,5,3,7] => [1,1,2,2,2]
[8,4,1,6,5,3,2,7] => [1,1,2,1,1,2]
[8,3,6,1,5,4,2,7] => [1,2,2,1,2]
[8,3,2,6,5,4,1,7] => [1,1,2,1,1,2]
[8,3,2,5,7,4,1,6] => [1,1,3,1,2]
[8,3,1,7,5,4,2,6] => [1,1,2,1,1,2]
[8,2,7,4,1,5,3,6] => [1,2,1,2,2]
[6,1,3,8,7,5,4,2] => [1,3,1,1,1,1]
[3,6,1,8,7,5,4,2] => [2,2,1,1,1,1]
[3,8,1,5,7,6,4,2] => [2,3,1,1,1]
[3,5,2,8,7,6,4,1] => [2,2,1,1,1,1]
[3,4,8,2,7,6,5,1] => [3,2,1,1,1]
[3,4,8,7,1,6,5,2] => [3,1,2,1,1]
[8,1,3,5,7,6,4,2] => [1,4,1,1,1]
[4,1,8,5,7,6,3,2] => [1,2,2,1,1,1]
[8,2,7,1,4,5,6,3] => [1,2,4,1]
[8,1,7,3,4,6,2,5] => [1,2,3,2]
[8,3,1,7,2,6,5,4] => [1,1,2,2,1,1]
[3,8,2,4,7,6,5,1] => [2,3,1,1,1]
[2,8,3,7,4,6,5,1] => [2,2,2,1,1]
[8,2,3,7,1,6,5,4] => [1,3,2,1,1]
[8,2,7,1,3,6,5,4] => [1,2,3,1,1]
[8,1,7,2,6,4,3,5] => [1,2,2,1,2]
[8,1,7,5,2,4,3,6] => [1,2,1,2,2]
[8,2,3,7,4,6,1,5] => [1,3,2,2]
[2,4,8,5,7,6,3,1] => [3,2,1,1,1]
[8,2,4,3,7,6,1,5] => [1,2,2,1,2]
[8,2,7,3,5,1,4,6] => [1,2,2,3]
[8,2,7,4,3,1,5,6] => [1,2,1,1,3]
[8,2,7,3,1,5,6,4] => [1,2,1,3,1]
[8,2,1,5,7,6,4,3] => [1,1,3,1,1,1]
[6,2,1,8,7,5,4,3] => [1,1,2,1,1,1,1]
[6,1,8,2,7,5,4,3] => [1,2,2,1,1,1]
[8,1,7,3,5,2,6,4] => [1,2,2,2,1]
[8,1,5,2,7,6,4,3] => [1,2,2,1,1,1]
[8,1,7,2,4,6,5,3] => [1,2,3,1,1]
[8,2,4,1,7,6,5,3] => [1,2,2,1,1,1]
[4,2,8,3,7,6,5,1] => [1,2,2,1,1,1]
[4,8,2,1,7,6,5,3] => [2,1,2,1,1,1]
[5,1,8,7,2,6,4,3] => [1,2,1,2,1,1]
[5,8,1,3,7,6,2,4] => [2,3,1,2]
[8,2,5,4,1,7,6,3] => [1,2,1,2,1,1]
[5,1,4,8,7,6,3,2] => [1,3,1,1,1,1]
[8,1,4,3,7,6,5,2] => [1,2,2,1,1,1]
[4,8,1,3,7,6,5,2] => [2,3,1,1,1]
[4,3,8,1,7,6,5,2] => [1,2,2,1,1,1]
[5,8,6,3,2,1,7,4] => [2,1,1,1,2,1]
[5,1,7,4,3,2,6,8] => [1,2,1,1,3]
[5,7,6,3,2,4,1,8] => [2,1,1,2,2]
[6,5,7,2,4,3,1,8] => [1,2,2,1,2]
[5,7,1,3,2,8,6,4] => [2,2,2,1,1]
[5,8,1,3,2,7,4,6] => [2,2,2,2]
[8,5,1,3,2,4,6,7] => [1,1,2,4]
[6,5,1,3,7,2,4,8] => [1,1,3,3]
[7,5,1,3,2,4,8,6] => [1,1,2,3,1]
[7,5,8,2,1,4,3,6] => [1,2,1,2,2]
[6,7,1,2,5,4,8,3] => [2,3,2,1]
[7,4,3,1,2,8,6,5] => [1,1,1,3,1,1]
[3,2,8,1,4,7,5,6] => [1,2,3,2]
[8,4,3,1,2,7,5,6] => [1,1,1,3,2]
[6,8,1,2,5,7,4,3] => [2,4,1,1]
[7,1,2,3,8,6,4,5] => [1,4,1,2]
[8,1,6,4,2,3,5,7] => [1,2,1,4]
[4,1,3,8,2,5,7,6] => [1,3,3,1]
[6,8,5,3,4,1,7,2] => [2,1,2,2,1]
[1,5,4,8,2,3,7,6] => [2,2,3,1]
[1,8,6,5,2,3,7,4] => [2,1,1,3,1]
[8,5,7,4,1,3,6,2] => [1,2,1,3,1]
[1,7,8,2,3,5,6,4] => [3,4,1]
[7,6,8,1,3,4,2,5] => [1,2,3,2]
[7,5,8,2,3,1,4,6] => [1,2,2,3]
[7,4,1,2,6,8,3,5] => [1,1,4,2]
[7,1,3,8,2,5,6,4] => [1,3,3,1]
[6,2,8,1,5,7,3,4] => [1,2,3,2]
[7,2,5,4,1,8,6,3] => [1,2,1,2,1,1]
[7,3,5,4,2,1,8,6] => [1,2,1,1,2,1]
[7,4,5,2,1,6,8,3] => [1,2,1,3,1]
[7,4,3,2,6,1,8,5] => [1,1,1,2,2,1]
[7,3,2,8,5,6,1,4] => [1,1,2,2,2]
[7,2,5,4,1,6,3,8] => [1,2,1,2,2]
[1,5,2,4,7,8,3,6] => [2,4,2]
[3,5,1,2,8,6,7,4] => [2,3,2,1]
[2,5,3,4,7,8,1,6] => [2,4,2]
[2,7,4,3,6,8,5,1] => [2,1,3,1,1]
[1,7,4,3,6,8,5,2] => [2,1,3,1,1]
[3,7,1,8,2,5,6,4] => [2,2,3,1]
[4,7,6,3,2,5,8,1] => [2,1,1,3,1]
[4,7,6,5,2,3,8,1] => [2,1,1,3,1]
[4,7,6,5,1,3,8,2] => [2,1,1,3,1]
[1,7,6,5,2,3,8,4] => [2,1,1,3,1]
[1,7,6,5,8,3,2,4] => [2,1,2,1,2]
[4,7,6,5,1,3,2,8] => [2,1,1,2,2]
[4,7,6,5,3,8,1,2] => [2,1,1,2,2]
[5,7,6,3,2,8,4,1] => [2,1,1,2,1,1]
[5,4,6,8,7,2,1,3] => [1,3,1,1,2]
[6,3,4,2,8,1,5,7] => [1,2,2,3]
[6,7,4,2,1,8,5,3] => [2,1,1,2,1,1]
[6,7,3,2,1,8,5,4] => [2,1,1,2,1,1]
[5,7,6,2,1,4,8,3] => [2,1,1,3,1]
[1,7,6,3,2,8,4,5] => [2,1,1,2,2]
[5,4,2,1,7,3,6,8] => [1,1,1,2,3]
[6,5,8,1,7,3,4,2] => [1,2,2,2,1]
[6,5,8,2,3,7,4,1] => [1,2,3,1,1]
[6,5,8,3,4,1,7,2] => [1,2,2,2,1]
[5,7,3,6,8,1,4,2] => [2,3,2,1]
[5,7,2,6,3,1,4,8] => [2,2,1,3]
[4,1,2,8,5,6,3,7] => [1,3,2,2]
[4,1,2,8,5,3,6,7] => [1,3,1,3]
[2,1,6,3,7,8,5,4] => [1,2,3,1,1]
[4,7,1,6,8,2,5,3] => [2,3,2,1]
[3,7,4,1,6,5,2,8] => [2,1,2,1,2]
[3,7,2,1,4,5,6,8] => [2,1,5]
[3,5,8,2,6,1,7,4] => [3,2,2,1]
[4,2,7,8,3,5,1,6] => [1,3,2,2]
[4,5,1,7,3,6,8,2] => [2,2,3,1]
[4,3,2,8,5,1,6,7] => [1,1,2,1,3]
[3,7,6,2,8,4,1,5] => [2,1,2,1,2]
[3,7,6,1,5,2,8,4] => [2,1,2,2,1]
[3,7,6,5,8,4,1,2] => [2,1,2,1,2]
[1,7,6,2,5,8,4,3] => [2,1,3,1,1]
[1,7,6,5,8,4,2,3] => [2,1,2,1,2]
[3,7,6,5,8,1,2,4] => [2,1,2,3]
[3,7,6,2,8,4,5,1] => [2,1,2,2,1]
[4,3,6,8,5,1,2,7] => [1,3,1,3]
[3,7,6,1,5,4,8,2] => [2,1,2,2,1]
[4,7,2,6,8,5,1,3] => [2,3,1,2]
[2,7,1,5,8,4,3,6] => [2,3,1,2]
[2,7,6,1,8,4,3,5] => [2,1,2,1,2]
[7,1,2,6,3,5,4,8] => [1,3,2,2]
[6,2,7,5,8,4,3,1] => [1,2,2,1,1,1]
[7,2,5,1,4,6,3,8] => [1,2,3,2]
[7,1,5,4,3,6,2,8] => [1,2,1,2,2]
[7,2,6,3,4,5,1,8] => [1,2,3,2]
[7,4,3,1,5,2,6,8] => [1,1,1,2,3]
[6,7,8,4,2,5,3,1] => [3,1,2,1,1]
[6,1,2,5,7,8,4,3] => [1,5,1,1]
[3,7,8,6,2,5,1,4] => [3,1,2,2]
[3,6,1,4,8,7,5,2] => [2,3,1,1,1]
[4,1,2,7,8,5,3,6] => [1,4,1,2]
[4,7,3,1,6,2,8,5] => [2,1,2,2,1]
[4,7,3,1,2,6,8,5] => [2,1,4,1]
[3,6,4,5,8,1,7,2] => [2,3,2,1]
[3,7,6,1,5,8,2,4] => [2,1,3,2]
[2,7,6,5,4,1,8,3] => [2,1,1,1,2,1]
[2,7,1,8,5,3,6,4] => [2,2,1,2,1]
[3,8,5,4,6,7,1,2] => [2,1,3,2]
[3,8,5,6,4,2,7,1] => [2,2,1,2,1]
[1,2,6,4,3,5,8,7] => [3,1,3,1]
[3,2,6,4,7,8,5,1] => [1,2,3,1,1]
[4,2,7,5,8,3,1,6] => [1,2,2,1,2]
[4,2,7,1,3,8,6,5] => [1,2,3,1,1]
[4,8,1,6,2,7,5,3] => [2,2,2,1,1]
[5,7,2,3,1,4,6,8] => [2,2,4]
[6,5,1,3,2,7,4,8] => [1,1,2,2,2]
[6,5,2,3,1,7,4,8] => [1,1,2,2,2]
[6,1,8,4,2,7,5,3] => [1,2,1,2,1,1]
[5,7,2,3,8,4,1,6] => [2,3,1,2]
[5,2,1,4,7,8,3,6] => [1,1,4,2]
[5,6,2,7,3,4,8,1] => [2,2,3,1]
[6,1,3,8,5,4,7,2] => [1,3,1,2,1]
[3,7,8,6,1,2,4,5] => [3,1,4]
[2,7,6,8,5,1,3,4] => [2,2,1,3]
[2,7,8,6,1,5,4,3] => [3,1,2,1,1]
[2,7,6,8,5,3,1,4] => [2,2,1,1,2]
[4,7,6,8,2,1,3,5] => [2,2,1,3]
[4,7,8,6,1,3,2,5] => [3,1,2,2]
[1,7,8,6,5,2,3,4] => [3,1,1,3]
[5,7,4,6,3,1,2,8] => [2,2,1,3]
[5,6,1,8,3,7,4,2] => [2,2,2,1,1]
[4,7,6,8,1,2,3,5] => [2,2,4]
[2,8,4,1,5,7,3,6] => [2,1,3,2]
[1,5,8,6,4,2,3,7] => [3,1,1,3]
[2,8,5,7,4,3,6,1] => [2,2,1,2,1]
[2,8,6,4,5,3,1,7] => [2,1,2,1,2]
[2,8,4,6,3,1,7,5] => [2,2,1,2,1]
[2,8,6,5,1,4,7,3] => [2,1,1,3,1]
[2,8,4,3,1,6,7,5] => [2,1,1,3,1]
[1,2,8,7,4,3,5,6] => [3,1,1,3]
[1,4,6,2,5,7,8,3] => [3,4,1]
[2,4,8,6,3,5,7,1] => [3,1,3,1]
[4,6,8,1,3,2,5,7] => [3,2,3]
[2,5,8,6,4,1,7,3] => [3,1,1,2,1]
[2,4,6,1,5,7,3,8] => [3,3,2]
[2,5,6,8,7,4,1,3] => [4,1,1,2]
[5,7,2,3,6,1,4,8] => [2,3,3]
[3,2,7,4,1,8,5,6] => [1,2,1,2,2]
[1,6,2,3,5,8,7,4] => [2,4,1,1]
[1,7,2,3,6,5,8,4] => [2,3,2,1]
[4,7,2,3,5,6,8,1] => [2,5,1]
[4,7,2,3,1,6,8,5] => [2,2,3,1]
[4,7,2,3,1,5,6,8] => [2,2,4]
[6,7,3,1,5,4,8,2] => [2,1,2,2,1]
[7,4,6,2,8,3,5,1] => [1,2,2,2,1]
[7,3,5,1,4,8,2,6] => [1,2,3,2]
[7,2,5,1,4,8,6,3] => [1,2,3,1,1]
[3,4,6,5,1,2,7,8] => [3,1,4]
[1,2,7,4,5,8,6,3] => [3,3,1,1]
[1,5,3,6,8,4,2,7] => [2,3,1,2]
[7,5,4,3,8,6,2,1] => [1,1,1,2,1,1,1]
[6,7,5,1,3,4,2,8] => [2,1,3,2]
[4,3,8,2,6,7,5,1] => [1,2,3,1,1]
[4,3,8,2,5,7,1,6] => [1,2,3,2]
[5,7,4,3,6,1,2,8] => [2,1,2,3]
[1,4,3,8,7,6,2,5] => [2,2,1,1,2]
[4,1,6,2,5,3,7,8] => [1,2,2,3]
[5,1,8,6,4,7,2,3] => [1,2,1,2,2]
[4,1,8,5,6,3,7,2] => [1,2,2,2,1]
[4,2,6,1,5,3,8,7] => [1,2,2,2,1]
[6,7,2,3,1,5,8,4] => [2,2,3,1]
[1,5,2,3,8,6,4,7] => [2,3,1,2]
[7,5,2,3,8,1,6,4] => [1,1,3,2,1]
[6,7,2,3,5,1,4,8] => [2,3,3]
[5,2,7,8,6,1,3,4] => [1,3,1,3]
[2,1,7,8,6,3,5,4] => [1,3,1,2,1]
[6,5,2,3,8,1,7,4] => [1,1,3,2,1]
[7,5,2,3,8,4,1,6] => [1,1,3,1,2]
[8,7,4,6,2,1,3,5] => [1,1,2,1,3]
[4,5,1,7,6,3,8,2] => [2,2,1,2,1]
[7,8,2,4,1,6,3,5] => [2,2,2,2]
[6,7,1,5,4,8,2,3] => [2,2,2,2]
[1,8,7,5,2,3,6,4] => [2,1,1,3,1]
[8,1,7,5,2,3,4,6] => [1,2,1,4]
[8,6,3,1,4,2,5,7] => [1,1,1,2,3]
[4,5,1,6,2,8,7,3] => [2,2,2,1,1]
[4,5,1,3,8,7,6,2] => [2,3,1,1,1]
[4,8,3,6,1,7,2,5] => [2,2,2,2]
[6,2,7,8,3,4,5,1] => [1,3,3,1]
[8,5,6,1,7,4,3,2] => [1,2,2,1,1,1]
[1,2,4,6,8,5,7,3] => [5,2,1]
[2,1,7,5,8,6,3,4] => [1,2,2,1,2]
[4,7,3,8,6,5,2,1] => [2,2,1,1,1,1]
[3,8,7,4,6,5,1,2] => [2,1,2,1,2]
[7,3,8,4,6,5,1,2] => [1,2,2,1,2]
[7,4,3,6,5,8,1,2] => [1,1,2,2,2]
[4,5,8,7,2,6,1,3] => [3,1,2,2]
[3,8,6,7,5,1,4,2] => [2,2,1,2,1]
[4,2,7,6,5,8,3,1] => [1,2,1,2,1,1]
[4,6,7,8,5,2,3,1] => [4,1,2,1]
[4,5,3,8,2,7,6,1] => [2,2,2,1,1]
[3,8,5,4,1,7,6,2] => [2,1,1,2,1,1]
[6,4,7,2,5,8,3,1] => [1,2,3,1,1]
[6,3,8,7,5,1,4,2] => [1,2,1,1,2,1]
[5,3,6,4,1,2,8,7] => [1,2,1,3,1]
[6,8,4,3,5,7,1,2] => [2,1,3,2]
[5,2,4,8,7,6,1,3] => [1,3,1,1,2]
[1,8,3,5,4,2,6,7] => [2,2,1,3]
[1,8,2,5,4,3,6,7] => [2,2,1,3]
[3,2,4,5,1,8,6,7] => [1,3,2,2]
[3,2,4,8,5,1,7,6] => [1,3,1,2,1]
[5,2,4,1,7,8,3,6] => [1,2,3,2]
[4,2,5,1,7,8,3,6] => [1,2,3,2]
[2,5,4,1,3,8,6,7] => [2,1,3,2]
[2,5,1,4,8,3,6,7] => [2,3,3]
[1,4,5,3,8,2,6,7] => [3,2,3]
[5,1,8,2,4,3,6,7] => [1,2,2,3]
[5,3,2,8,4,1,6,7] => [1,1,2,1,3]
[4,8,2,1,5,3,6,7] => [2,1,2,3]
[1,5,4,8,2,3,6,7] => [2,2,4]
[3,5,1,4,7,8,2,6] => [2,4,2]
[4,8,3,1,6,7,2,5] => [2,1,3,2]
[3,4,8,2,6,5,7,1] => [3,2,2,1]
[1,4,8,2,7,3,6,5] => [3,2,2,1]
[1,8,7,2,5,3,6,4] => [2,1,2,2,1]
[7,4,6,5,3,8,2,1] => [1,2,1,2,1,1]
[3,6,2,4,8,7,1,5] => [2,3,1,2]
[4,7,3,2,6,8,1,5] => [2,1,3,2]
[7,3,4,6,8,1,2,5] => [1,4,3]
[3,6,7,2,5,8,1,4] => [3,3,2]
[1,5,6,8,3,7,2,4] => [4,2,2]
[1,6,5,8,3,7,2,4] => [2,2,2,2]
[8,6,2,7,1,4,3,5] => [1,1,2,2,2]
[7,8,4,6,3,1,5,2] => [2,2,1,2,1]
[6,1,5,8,3,4,7,2] => [1,3,3,1]
[5,6,8,1,3,4,7,2] => [3,4,1]
[2,8,5,6,3,4,7,1] => [2,2,3,1]
[6,8,1,3,5,4,7,2] => [2,3,2,1]
[8,1,6,3,5,4,7,2] => [1,2,2,2,1]
[1,8,7,3,6,4,5,2] => [2,1,2,2,1]
[7,4,2,8,3,6,5,1] => [1,1,2,2,1,1]
[7,1,2,5,8,4,6,3] => [1,4,2,1]
[2,8,1,4,7,3,6,5] => [2,3,2,1]
[4,2,8,6,1,5,7,3] => [1,2,1,3,1]
[6,2,4,8,1,7,3,5] => [1,3,2,2]
[8,2,6,1,4,5,7,3] => [1,2,4,1]
[3,1,7,8,5,4,6,2] => [1,3,1,2,1]
[1,6,2,7,4,8,5,3] => [2,2,2,1,1]
[2,7,1,8,4,3,5,6] => [2,2,1,3]
[6,7,1,8,3,2,4,5] => [2,2,1,3]
[6,2,4,7,3,8,1,5] => [1,3,2,2]
[8,3,6,7,4,1,5,2] => [1,3,1,2,1]
[6,8,2,3,7,1,5,4] => [2,3,2,1]
[6,1,8,3,7,4,2,5] => [1,2,2,1,2]
[1,5,8,3,6,7,2,4] => [3,3,2]
[2,7,6,3,5,8,1,4] => [2,1,3,2]
[2,7,5,6,8,1,3,4] => [2,3,3]
[1,6,5,7,4,8,2,3] => [2,2,2,2]
[7,6,2,8,1,5,3,4] => [1,1,2,2,2]
[6,7,2,8,1,3,4,5] => [2,2,4]
[5,1,6,8,7,2,3,4] => [1,3,1,3]
[1,5,7,6,8,2,3,4] => [3,2,3]
[3,5,6,1,4,2,8,7] => [3,2,2,1]
[3,7,8,2,4,6,5,1] => [3,3,1,1]
[7,4,6,8,5,3,1,2] => [1,3,1,1,2]
[8,4,6,7,3,2,1,5] => [1,3,1,1,2]
[4,2,7,8,1,5,6,3] => [1,3,3,1]
[2,1,5,7,8,3,6,4] => [1,4,2,1]
[2,4,7,8,1,5,6,3] => [4,3,1]
[2,6,3,5,7,8,4,1] => [2,4,1,1]
[4,6,2,5,7,1,8,3] => [2,3,2,1]
[5,1,6,7,3,8,2,4] => [1,3,2,2]
[3,8,6,7,5,1,2,4] => [2,2,1,3]
[4,7,5,8,6,3,1,2] => [2,2,1,1,2]
[4,7,1,8,3,5,6,2] => [2,2,3,1]
[1,6,8,3,2,5,4,7] => [3,1,2,2]
[6,1,5,4,7,3,2,8] => [1,2,2,1,2]
[6,1,5,2,3,7,4,8] => [1,2,3,2]
[7,8,2,1,3,6,4,5] => [2,1,3,2]
[7,8,5,1,3,2,6,4] => [2,1,2,2,1]
[6,1,7,5,4,3,2,8] => [1,2,1,1,1,2]
[5,1,6,8,2,3,7,4] => [1,3,3,1]
[2,6,8,1,5,4,7,3] => [3,2,2,1]
[1,5,4,7,6,2,8,3] => [2,2,1,2,1]
[2,3,7,6,5,1,8,4] => [3,1,1,2,1]
[7,5,2,1,6,4,3,8] => [1,1,1,2,1,2]
[5,7,2,4,3,1,8,6] => [2,2,1,2,1]
[6,7,1,3,4,2,8,5] => [2,3,2,1]
[4,3,5,8,6,7,1,2] => [1,3,2,2]
[6,1,5,8,3,2,7,4] => [1,3,1,2,1]
[3,1,2,4,8,5,7,6] => [1,4,2,1]
[2,5,8,4,6,3,1,7] => [3,2,1,2]
[3,2,5,8,4,1,6,7] => [1,3,1,3]
[1,4,5,8,7,3,2,6] => [4,1,1,2]
[7,1,5,4,8,3,2,6] => [1,2,2,1,2]
[6,4,1,7,5,3,2,8] => [1,1,2,1,1,2]
[5,2,7,4,6,3,1,8] => [1,2,2,1,2]
[2,7,1,5,3,8,4,6] => [2,2,2,2]
[2,7,6,4,8,1,5,3] => [2,1,2,2,1]
[7,2,5,4,8,1,6,3] => [1,2,2,2,1]
[1,7,2,5,3,8,6,4] => [2,2,2,1,1]
[7,2,1,4,3,8,5,6] => [1,1,2,2,2]
[5,4,2,1,3,8,6,7] => [1,1,1,3,2]
[6,1,4,2,3,8,7,5] => [1,2,3,1,1]
[7,1,6,5,3,2,8,4] => [1,2,1,1,2,1]
[7,2,3,8,6,1,5,4] => [1,3,1,2,1]
[7,2,3,8,6,1,4,5] => [1,3,1,3]
[6,2,4,8,1,3,7,5] => [1,3,3,1]
[7,3,2,8,4,1,6,5] => [1,1,2,1,2,1]
[7,8,3,2,6,1,5,4] => [2,1,2,2,1]
[6,3,4,8,1,5,2,7] => [1,3,2,2]
[6,3,4,8,1,5,7,2] => [1,3,3,1]
[5,3,8,4,1,2,6,7] => [1,2,1,4]
[2,4,8,3,7,1,5,6] => [3,2,3]
[5,2,8,4,1,6,3,7] => [1,2,1,2,2]
[7,6,5,2,1,8,3,4] => [1,1,1,1,2,2]
[7,6,5,2,1,8,4,3] => [1,1,1,1,2,1,1]
[2,7,5,1,8,3,6,4] => [2,1,2,2,1]
[5,1,8,7,4,3,6,2] => [1,2,1,1,2,1]
[3,8,7,2,4,6,1,5] => [2,1,3,2]
[5,7,1,3,2,4,8,6] => [2,2,3,1]
[4,2,7,6,3,5,8,1] => [1,2,1,3,1]
[8,4,7,6,3,5,1,2] => [1,2,1,2,2]
[8,1,7,4,2,3,5,6] => [1,2,1,4]
[6,5,1,3,8,7,4,2] => [1,1,3,1,1,1]
[4,7,8,3,2,5,1,6] => [3,1,2,2]
[6,1,8,5,3,7,2,4] => [1,2,1,2,2]
[5,1,6,8,3,7,4,2] => [1,3,2,1,1]
[8,6,5,1,7,4,3,2] => [1,1,1,2,1,1,1]
[7,6,4,1,3,5,8,2] => [1,1,1,4,1]
[8,2,3,7,1,4,5,6] => [1,3,4]
[2,8,3,7,1,4,5,6] => [2,2,4]
[5,6,2,7,4,3,1,8] => [2,2,1,1,2]
[8,6,2,7,4,1,3,5] => [1,1,2,1,3]
[3,4,7,6,2,5,1,8] => [3,1,2,2]
[3,4,7,5,2,6,1,8] => [3,1,2,2]
[3,4,7,2,5,6,1,8] => [3,3,2]
[3,7,8,2,6,1,4,5] => [3,2,3]
[3,7,8,5,2,1,4,6] => [3,1,1,3]
[6,8,4,7,3,1,2,5] => [2,2,1,3]
[3,2,7,8,4,1,5,6] => [1,3,1,3]
[6,8,4,7,3,1,5,2] => [2,2,1,2,1]
[3,7,8,2,6,1,5,4] => [3,2,2,1]
[4,8,6,2,1,7,5,3] => [2,1,1,2,1,1]
[4,7,6,2,1,5,8,3] => [2,1,1,3,1]
[4,7,6,2,1,5,3,8] => [2,1,1,2,2]
[4,8,6,5,1,2,7,3] => [2,1,1,3,1]
[7,5,4,6,1,8,3,2] => [1,1,2,2,1,1]
[7,5,4,6,1,8,2,3] => [1,1,2,2,2]
[4,8,6,5,1,2,3,7] => [2,1,1,4]
[3,4,5,1,8,6,2,7] => [3,2,1,2]
[3,4,5,1,7,8,6,2] => [3,3,1,1]
[3,4,5,1,7,6,8,2] => [3,2,2,1]
[3,8,7,6,5,1,2,4] => [2,1,1,1,3]
[8,4,6,7,1,2,5,3] => [1,3,3,1]
[5,7,2,6,1,8,4,3] => [2,2,2,1,1]
[5,7,2,6,1,3,8,4] => [2,2,3,1]
[5,8,2,6,1,4,7,3] => [2,2,3,1]
[7,4,6,8,1,3,2,5] => [1,3,2,2]
[7,4,6,8,1,3,5,2] => [1,3,3,1]
[3,8,7,5,6,1,4,2] => [2,1,2,2,1]
[6,8,4,7,2,1,5,3] => [2,2,1,2,1]
[3,2,5,6,1,7,4,8] => [1,3,2,2]
[8,4,6,5,1,7,3,2] => [1,2,1,2,1,1]
[3,4,5,1,7,6,2,8] => [3,2,1,2]
[7,4,6,5,1,3,8,2] => [1,2,1,3,1]
[8,5,4,6,1,3,2,7] => [1,1,2,2,2]
[3,2,5,6,1,4,8,7] => [1,3,3,1]
[8,5,4,6,1,3,7,2] => [1,1,2,3,1]
[1,7,3,4,5,2,8,6] => [2,3,2,1]
[4,8,2,1,3,5,6,7] => [2,1,5]
[1,7,2,5,4,3,8,6] => [2,2,1,2,1]
[2,6,7,3,4,8,1,5] => [3,3,2]
[2,1,5,7,4,3,8,6] => [1,3,1,2,1]
[4,1,8,7,5,6,2,3] => [1,2,1,2,2]
[1,5,8,7,4,3,6,2] => [3,1,1,2,1]
[6,4,1,3,8,7,5,2] => [1,1,3,1,1,1]
[2,1,7,4,6,8,3,5] => [1,2,3,2]
[1,7,2,4,6,8,3,5] => [2,4,2]
[8,6,4,2,7,3,5,1] => [1,1,1,2,2,1]
[7,4,6,1,2,3,8,5] => [1,2,4,1]
[1,8,6,2,7,3,5,4] => [2,1,2,2,1]
[1,7,8,6,2,3,5,4] => [3,1,3,1]
[2,1,8,3,5,7,6,4] => [1,2,3,1,1]
[3,5,8,1,7,6,2,4] => [3,2,1,2]
[2,8,1,3,6,7,5,4] => [2,4,1,1]
[7,2,4,8,6,1,5,3] => [1,3,1,2,1]
[1,7,5,8,3,6,2,4] => [2,2,2,2]
[6,4,3,2,8,1,7,5] => [1,1,1,2,2,1]
[6,2,4,3,8,1,7,5] => [1,2,2,2,1]
[5,7,4,3,1,6,2,8] => [2,1,1,2,2]
[5,8,4,3,1,6,7,2] => [2,1,1,3,1]
[4,2,8,1,5,7,6,3] => [1,2,3,1,1]
[8,3,5,4,2,6,1,7] => [1,2,1,2,2]
[6,3,7,2,5,4,8,1] => [1,2,2,2,1]
[5,4,7,3,2,6,8,1] => [1,2,1,3,1]
[3,7,6,4,2,5,8,1] => [2,1,1,3,1]
[5,7,2,6,3,4,8,1] => [2,2,3,1]
[3,7,5,4,6,2,8,1] => [2,1,2,2,1]
[2,7,5,4,6,8,3,1] => [2,1,3,1,1]
[8,2,5,4,6,3,1,7] => [1,2,2,1,2]
[3,7,5,4,2,8,6,1] => [2,1,1,2,1,1]
[5,7,2,3,6,8,4,1] => [2,4,1,1]
[3,7,2,6,5,8,4,1] => [2,2,2,1,1]
[5,4,2,7,6,8,3,1] => [1,1,2,2,1,1]
[5,8,1,7,3,4,2,6] => [2,2,2,2]
[6,8,3,2,1,7,4,5] => [2,1,1,2,2]
[4,8,5,1,7,3,2,6] => [2,1,2,1,2]
[4,8,1,7,5,3,2,6] => [2,2,1,1,2]
[5,4,8,2,6,3,1,7] => [1,2,2,1,2]
[3,7,6,2,8,1,5,4] => [2,1,2,2,1]
[7,5,2,8,1,3,6,4] => [1,1,2,3,1]
[5,4,3,7,2,8,6,1] => [1,1,2,2,1,1]
[4,3,7,6,2,8,5,1] => [1,2,1,2,1,1]
[6,3,2,5,8,7,4,1] => [1,1,3,1,1,1]
[7,3,5,2,8,1,6,4] => [1,2,2,2,1]
[8,3,5,2,6,4,1,7] => [1,2,2,1,2]
[8,4,3,2,6,5,1,7] => [1,1,1,2,1,2]
[3,6,5,2,8,7,4,1] => [2,1,2,1,1,1]
[3,6,5,7,2,8,4,1] => [2,2,2,1,1]
[4,6,5,3,8,2,1,7] => [2,1,2,1,2]
[2,6,5,8,7,3,1,4] => [2,2,1,1,2]
[2,6,5,8,4,3,7,1] => [2,2,1,2,1]
[8,2,6,5,3,1,4,7] => [1,2,1,1,3]
[6,3,8,4,1,7,2,5] => [1,2,1,2,2]
[7,2,8,1,6,4,3,5] => [1,2,2,1,2]
[3,2,8,7,6,4,1,5] => [1,2,1,1,1,2]
[5,4,2,8,7,3,1,6] => [1,1,2,1,1,2]
[3,6,8,5,1,7,2,4] => [3,1,2,2]
[8,2,6,4,3,5,1,7] => [1,2,1,2,2]
[3,7,2,8,5,4,6,1] => [2,2,1,2,1]
[5,4,2,8,6,3,7,1] => [1,1,2,1,2,1]
[2,8,7,5,3,1,4,6] => [2,1,1,1,3]
[2,5,6,3,1,4,8,7] => [3,1,3,1]
[2,4,7,8,5,3,1,6] => [4,1,1,2]
[2,4,3,7,8,5,1,6] => [2,3,1,2]
[6,3,4,5,1,2,8,7] => [1,3,3,1]
[6,5,3,2,4,1,8,7] => [1,1,1,2,2,1]
[6,5,8,7,3,2,4,1] => [1,2,1,1,2,1]
[6,3,2,4,1,7,8,5] => [1,1,2,3,1]
[2,1,4,7,8,5,3,6] => [1,4,1,2]
[8,3,6,4,7,5,1,2] => [1,2,2,1,2]
[8,3,1,6,5,7,4,2] => [1,1,2,2,1,1]
[8,5,6,7,3,1,4,2] => [1,3,1,2,1]
[8,7,5,3,2,6,4,1] => [1,1,1,1,2,1,1]
[4,8,7,5,3,2,6,1] => [2,1,1,1,2,1]
[4,7,8,5,3,1,6,2] => [3,1,1,2,1]
[8,5,3,1,4,6,7,2] => [1,1,1,4,1]
[8,3,4,6,5,7,1,2] => [1,3,2,2]
[8,5,3,6,4,7,1,2] => [1,1,2,2,2]
[8,5,1,6,4,3,7,2] => [1,1,2,1,2,1]
[6,1,4,3,7,8,2,5] => [1,2,3,2]
[6,3,4,7,8,1,2,5] => [1,4,3]
[7,3,6,5,8,1,2,4] => [1,2,2,3]
[6,5,3,2,4,8,7,1] => [1,1,1,3,1,1]
[2,5,7,1,6,8,3,4] => [3,3,2]
[6,1,2,7,5,8,3,4] => [1,3,2,2]
[7,1,2,4,6,8,3,5] => [1,5,2]
[3,7,1,2,4,6,8,5] => [2,5,1]
[2,4,1,7,3,6,8,5] => [2,2,3,1]
[2,4,3,6,1,7,8,5] => [2,2,3,1]
[2,7,3,1,4,6,8,5] => [2,1,4,1]
[2,8,3,1,6,5,7,4] => [2,1,2,2,1]
[2,8,5,6,7,3,1,4] => [2,3,1,2]
[2,7,8,5,3,1,6,4] => [3,1,1,2,1]
[8,2,4,6,1,5,7,3] => [1,3,3,1]
[5,8,1,6,2,4,7,3] => [2,2,3,1]
[3,8,5,6,7,1,2,4] => [2,3,3]
[6,5,1,2,8,4,7,3] => [1,1,3,2,1]
[6,1,2,4,8,5,7,3] => [1,4,2,1]
[2,5,8,1,4,6,7,3] => [3,4,1]
[2,4,5,8,7,3,6,1] => [4,1,2,1]
[7,1,4,2,6,8,5,3] => [1,2,3,1,1]
[7,1,8,5,2,4,6,3] => [1,2,1,3,1]
[2,1,8,7,5,4,6,3] => [1,2,1,1,2,1]
[4,8,1,7,5,3,6,2] => [2,2,1,2,1]
[8,1,7,5,3,4,6,2] => [1,2,1,3,1]
[8,1,4,3,6,7,5,2] => [1,2,3,1,1]
[7,8,3,4,1,6,5,2] => [2,2,2,1,1]
[8,7,3,4,2,6,5,1] => [1,1,2,2,1,1]
[8,4,5,2,3,7,1,6] => [1,2,3,2]
[4,7,2,8,6,3,1,5] => [2,2,1,1,2]
[4,7,5,2,3,8,1,6] => [2,1,3,2]
[6,4,7,5,2,8,3,1] => [1,2,1,2,1,1]
[7,5,1,3,6,4,8,2] => [1,1,3,2,1]
[6,5,2,3,7,8,4,1] => [1,1,4,1,1]
[7,2,6,3,1,5,8,4] => [1,2,1,3,1]
[4,6,3,8,7,5,1,2] => [2,2,1,1,2]
[2,8,4,1,5,7,6,3] => [2,1,3,1,1]
[1,8,4,2,5,7,6,3] => [2,1,3,1,1]
[2,8,5,4,1,7,6,3] => [2,1,1,2,1,1]
[2,5,8,3,7,1,6,4] => [3,2,2,1]
[1,8,5,2,4,7,6,3] => [2,1,3,1,1]
[1,4,6,2,8,7,5,3] => [3,2,1,1,1]
[7,8,2,4,1,6,5,3] => [2,2,2,1,1]
[2,4,6,1,8,7,5,3] => [3,2,1,1,1]
[2,8,4,5,1,7,6,3] => [2,2,2,1,1]
[3,5,8,2,7,6,1,4] => [3,2,1,2]
[2,1,6,8,7,5,3,4] => [1,3,1,1,2]
[1,8,2,4,5,7,6,3] => [2,4,1,1]
[1,2,8,3,5,7,6,4] => [3,3,1,1]
[1,3,8,2,5,7,6,4] => [3,3,1,1]
[2,3,8,1,5,7,6,4] => [3,3,1,1]
[2,6,1,8,7,5,3,4] => [2,2,1,1,2]
[1,6,2,8,7,5,3,4] => [2,2,1,1,2]
[1,6,3,8,7,5,2,4] => [2,2,1,1,2]
[2,6,3,8,7,5,1,4] => [2,2,1,1,2]
[3,2,8,1,5,7,6,4] => [1,2,3,1,1]
[3,1,8,2,5,7,6,4] => [1,2,3,1,1]
[2,8,1,4,5,7,6,3] => [2,4,1,1]
[7,8,2,1,4,6,5,3] => [2,1,3,1,1]
[2,3,6,8,7,5,1,4] => [4,1,1,2]
[3,1,6,8,7,2,5,4] => [1,3,1,2,1]
[3,8,4,5,1,6,2,7] => [2,2,2,2]
[6,1,4,5,7,2,3,8] => [1,4,3]
[8,1,4,7,6,3,2,5] => [1,3,1,1,2]
[8,3,1,6,4,7,2,5] => [1,1,2,2,2]
[5,3,8,6,2,7,1,4] => [1,2,1,2,2]
[8,3,6,1,5,7,2,4] => [1,2,3,2]
[8,4,6,3,1,2,5,7] => [1,2,1,4]
[1,8,5,3,7,2,4,6] => [2,1,2,3]
[6,8,1,4,5,2,3,7] => [2,3,3]
[1,5,8,4,6,2,3,7] => [3,2,3]
[2,1,6,5,3,8,4,7] => [1,2,1,2,2]
[1,4,6,8,5,2,3,7] => [4,1,3]
[5,6,8,1,4,2,3,7] => [3,2,3]
[5,7,4,8,1,2,3,6] => [2,2,4]
[1,5,4,7,2,3,8,6] => [2,2,3,1]
[4,7,5,1,8,2,3,6] => [2,1,2,3]
[5,3,7,1,2,4,8,6] => [1,2,4,1]
[8,2,1,5,3,7,4,6] => [1,1,2,2,2]
[4,7,8,1,2,6,3,5] => [3,3,2]
[8,7,1,5,6,2,3,4] => [1,1,3,3]
[1,6,5,8,7,2,3,4] => [2,2,1,3]
[8,6,2,1,3,4,7,5] => [1,1,1,4,1]
[7,2,1,3,6,4,8,5] => [1,1,3,2,1]
[3,7,1,6,2,4,8,5] => [2,2,3,1]
[5,1,2,7,6,8,3,4] => [1,3,2,2]
[6,1,7,2,5,8,3,4] => [1,2,3,2]
[1,7,6,5,8,2,3,4] => [2,1,2,3]
[1,6,8,5,7,2,3,4] => [3,2,3]
[7,5,1,2,6,8,3,4] => [1,1,4,2]
[6,1,5,2,7,8,3,4] => [1,2,3,2]
[1,6,3,8,7,2,4,5] => [2,2,1,3]
[1,7,3,2,4,6,8,5] => [2,1,4,1]
[8,3,1,4,2,5,7,6] => [1,1,2,3,1]
[4,1,8,3,2,7,5,6] => [1,2,1,2,2]
[3,1,2,7,8,4,6,5] => [1,4,2,1]
[3,8,1,2,7,6,4,5] => [2,3,1,2]
[7,1,4,8,2,6,3,5] => [1,3,2,2]
[5,1,2,6,8,7,3,4] => [1,4,1,2]
[1,8,6,2,5,7,3,4] => [2,1,3,2]
[5,7,8,1,2,6,3,4] => [3,3,2]
[8,1,5,7,6,2,3,4] => [1,3,1,3]
[7,1,6,8,5,2,3,4] => [1,3,1,3]
[3,7,1,2,8,4,6,5] => [2,3,2,1]
[7,2,1,8,3,4,6,5] => [1,1,2,3,1]
[8,3,1,2,7,6,4,5] => [1,1,3,1,2]
[1,5,8,7,6,2,3,4] => [3,1,1,3]
[7,8,6,1,5,2,3,4] => [2,1,2,3]
[7,8,6,3,1,5,2,4] => [2,1,1,2,2]
[7,8,1,3,4,5,2,6] => [2,4,2]
[1,7,4,8,2,5,3,6] => [2,2,2,2]
[3,8,6,1,4,2,7,5] => [2,1,2,2,1]
[7,1,8,2,4,6,3,5] => [1,2,3,2]
[7,6,8,4,1,5,3,2] => [1,2,1,2,1,1]
[7,3,2,8,1,5,4,6] => [1,1,2,2,2]
[3,5,4,1,7,2,6,8] => [2,1,2,3]
[6,4,7,3,2,5,1,8] => [1,2,1,2,2]
[7,6,5,3,8,4,1,2] => [1,1,1,2,1,2]
[6,4,5,7,8,1,3,2] => [1,4,2,1]
[3,7,4,1,6,8,5,2] => [2,1,3,1,1]
[3,1,2,7,6,8,5,4] => [1,3,2,1,1]
[6,3,2,8,4,5,1,7] => [1,1,2,2,2]
[6,1,8,3,5,4,2,7] => [1,2,2,1,2]
[3,8,5,2,4,6,1,7] => [2,1,3,2]
[1,6,4,8,3,5,2,7] => [2,2,2,2]
[1,5,4,8,6,3,7,2] => [2,2,1,2,1]
[4,8,2,5,3,7,1,6] => [2,2,2,2]
[3,8,4,5,2,6,7,1] => [2,2,3,1]
[4,1,8,6,5,3,7,2] => [1,2,1,1,2,1]
[5,7,8,4,6,3,2,1] => [3,2,1,1,1]
[5,3,2,8,6,4,7,1] => [1,1,2,1,2,1]
[6,8,1,2,7,4,3,5] => [2,3,1,2]
[5,8,7,3,6,2,4,1] => [2,1,2,2,1]
[7,5,2,3,4,8,6,1] => [1,1,4,1,1]
[7,3,5,4,2,8,6,1] => [1,2,1,2,1,1]
[5,6,1,3,2,4,7,8] => [2,2,4]
[2,5,1,3,7,8,6,4] => [2,4,1,1]
[4,3,7,2,1,8,6,5] => [1,2,1,2,1,1]
[4,6,7,2,1,3,5,8] => [3,1,4]
[4,6,2,3,1,5,7,8] => [2,2,4]
[3,6,4,2,5,1,7,8] => [2,1,2,3]
[3,1,6,4,7,5,2,8] => [1,2,2,1,2]
[3,6,2,7,5,4,1,8] => [2,2,1,1,2]
[2,4,7,5,3,6,1,8] => [3,1,2,2]
[2,5,7,3,4,1,6,8] => [3,2,3]
[2,3,5,8,6,4,7,1] => [4,1,2,1]
[2,4,7,3,8,6,5,1] => [3,2,1,1,1]
[3,4,2,7,5,8,6,1] => [2,2,2,1,1]
[3,1,5,4,7,8,6,2] => [1,2,3,1,1]
[4,5,7,2,3,1,8,6] => [3,2,2,1]
[3,7,8,1,4,6,5,2] => [3,3,1,1]
[2,5,8,7,4,1,3,6] => [3,1,1,3]
[2,6,4,7,5,3,8,1] => [2,2,1,2,1]
[6,2,4,7,1,3,8,5] => [1,3,3,1]
[7,3,5,1,4,2,8,6] => [1,2,2,2,1]
[5,4,7,1,3,2,8,6] => [1,2,2,2,1]
[6,1,4,7,5,3,8,2] => [1,3,1,2,1]
[8,7,4,3,1,5,6,2] => [1,1,1,1,3,1]
[8,7,1,4,3,5,6,2] => [1,1,2,3,1]
[6,1,8,4,7,3,2,5] => [1,2,2,1,2]
[4,7,3,6,1,2,8,5] => [2,2,3,1]
[5,2,1,7,4,3,8,6] => [1,1,2,1,2,1]
[4,7,6,2,3,1,8,5] => [2,1,2,2,1]
[7,6,8,2,5,3,4,1] => [1,2,2,2,1]
[2,3,6,1,8,7,5,4] => [3,2,1,1,1]
[2,6,8,7,5,3,1,4] => [3,1,1,1,2]
[6,4,1,7,5,2,8,3] => [1,1,2,1,2,1]
[5,7,8,2,3,6,1,4] => [3,3,2]
[4,8,7,1,2,5,6,3] => [2,1,4,1]
[2,8,7,4,1,5,6,3] => [2,1,1,3,1]
[8,6,2,1,5,7,4,3] => [1,1,1,3,1,1]
[3,8,6,7,5,2,1,4] => [2,2,1,1,2]
[6,1,3,7,5,8,2,4] => [1,3,2,2]
[4,7,3,1,8,5,6,2] => [2,1,2,2,1]
[2,6,7,5,3,4,8,1] => [3,1,3,1]
[2,6,4,5,7,3,8,1] => [2,3,2,1]
[6,1,4,5,8,3,7,2] => [1,4,2,1]
[6,1,8,5,3,4,7,2] => [1,2,1,3,1]
[4,1,5,6,8,3,7,2] => [1,4,2,1]
[5,4,7,1,8,6,2,3] => [1,2,2,1,2]
[6,4,1,8,7,2,5,3] => [1,1,2,1,2,1]
[4,5,7,2,6,8,1,3] => [3,3,2]
[2,8,5,4,1,7,3,6] => [2,1,1,2,2]
[3,2,8,5,1,7,4,6] => [1,2,1,2,2]
[1,3,8,5,2,7,4,6] => [3,1,2,2]
[1,3,8,6,7,2,4,5] => [3,2,3]
[2,8,3,6,7,1,4,5] => [2,3,3]
[2,8,5,6,1,3,7,4] => [2,2,3,1]
[2,8,3,7,6,1,4,5] => [2,2,1,3]
[2,8,7,4,6,1,3,5] => [2,1,2,3]
[3,7,8,4,6,1,2,5] => [3,2,3]
[4,7,3,8,6,1,2,5] => [2,2,1,3]
[4,2,7,8,6,1,3,5] => [1,3,1,3]
[3,7,8,6,5,1,4,2] => [3,1,1,2,1]
[6,3,8,5,2,4,7,1] => [1,2,1,3,1]
[7,3,8,6,5,2,4,1] => [1,2,1,1,2,1]
[1,3,8,7,6,2,4,5] => [3,1,1,3]
[1,4,7,8,6,2,3,5] => [4,1,3]
[1,7,5,6,8,2,3,4] => [2,3,3]
[7,4,6,8,5,2,3,1] => [1,3,1,2,1]
[7,4,5,8,2,6,3,1] => [1,3,2,1,1]
[4,6,5,8,1,3,7,2] => [2,2,3,1]
[5,7,6,4,8,1,3,2] => [2,1,2,2,1]
[7,5,3,6,8,2,1,4] => [1,1,3,1,2]
[5,2,6,7,8,1,3,4] => [1,4,3]
[4,5,7,8,1,6,2,3] => [4,2,2]
[4,5,6,8,1,2,7,3] => [4,3,1]
[3,5,8,6,1,2,7,4] => [3,1,3,1]
[3,6,8,7,5,1,2,4] => [3,1,1,3]
[3,6,8,4,7,1,2,5] => [3,2,3]
[4,2,6,8,7,1,3,5] => [1,3,1,3]
[1,4,6,8,7,2,3,5] => [4,1,3]
[4,5,3,8,1,7,2,6] => [2,2,2,2]
[3,5,8,4,1,7,2,6] => [3,1,2,2]
[3,4,8,1,5,7,2,6] => [3,3,2]
[5,3,8,4,2,7,1,6] => [1,2,1,2,2]
[5,2,4,8,1,7,3,6] => [1,3,2,2]
[5,3,8,7,2,6,1,4] => [1,2,1,2,2]
[5,3,8,6,2,1,7,4] => [1,2,1,1,2,1]
[1,6,5,7,8,2,3,4] => [2,3,3]
[6,7,3,5,8,2,1,4] => [2,3,1,2]
[6,7,4,8,5,2,3,1] => [2,2,1,2,1]
[5,6,4,8,2,3,7,1] => [2,2,3,1]
[6,5,4,8,1,3,7,2] => [1,1,2,3,1]
[7,6,4,8,5,1,3,2] => [1,1,2,1,2,1]
[6,2,7,5,8,1,3,4] => [1,2,2,3]
[7,2,6,5,8,1,3,4] => [1,2,2,3]
[7,2,6,4,1,3,5,8] => [1,2,1,4]
[7,1,3,4,6,2,5,8] => [1,4,3]
[7,3,6,5,2,4,1,8] => [1,2,1,2,2]
[6,3,7,5,2,4,8,1] => [1,2,1,3,1]
[8,1,2,7,4,5,3,6] => [1,3,2,2]
[2,5,7,4,6,1,3,8] => [3,2,3]
[8,5,7,4,3,1,2,6] => [1,2,1,1,3]
[4,6,8,3,1,2,7,5] => [3,1,3,1]
[6,1,7,4,5,3,8,2] => [1,2,2,2,1]
[8,5,7,3,2,1,4,6] => [1,2,1,1,3]
[8,2,7,3,1,5,4,6] => [1,2,1,2,2]
[8,2,1,7,4,5,3,6] => [1,1,2,2,2]
[2,6,4,8,3,1,7,5] => [2,2,1,2,1]
[8,1,3,7,5,6,4,2] => [1,3,2,1,1]
[3,8,2,6,1,4,7,5] => [2,2,3,1]
[1,6,4,7,5,8,3,2] => [2,2,2,1,1]
[1,6,8,5,7,3,2,4] => [3,2,1,2]
[1,2,5,3,8,6,7,4] => [3,2,2,1]
[6,3,5,7,8,1,2,4] => [1,4,3]
[4,1,6,5,7,8,2,3] => [1,2,3,2]
[3,8,1,2,6,4,7,5] => [2,3,2,1]
[6,1,3,7,4,2,8,5] => [1,3,1,2,1]
[6,7,2,4,1,3,8,5] => [2,2,3,1]
[8,7,1,3,5,4,2,6] => [1,1,3,1,2]
[7,8,4,6,3,2,5,1] => [2,2,1,2,1]
[8,7,1,4,6,2,5,3] => [1,1,3,2,1]
[7,3,8,4,2,6,5,1] => [1,2,1,2,1,1]
[8,5,3,4,2,7,1,6] => [1,1,2,2,2]
[8,1,3,4,5,2,7,6] => [1,4,2,1]
[8,4,3,5,1,7,2,6] => [1,1,2,2,2]
[8,4,5,2,1,3,7,6] => [1,2,1,3,1]
[4,8,2,6,1,3,7,5] => [2,2,3,1]
[3,4,1,6,8,2,7,5] => [2,3,2,1]
[1,3,8,2,5,6,7,4] => [3,4,1]
[3,7,8,2,5,6,4,1] => [3,3,1,1]
[8,1,7,5,2,6,4,3] => [1,2,1,2,1,1]
[1,8,6,7,2,5,4,3] => [2,2,2,1,1]
[7,6,8,3,5,4,2,1] => [1,2,2,1,1,1]
[1,6,7,3,8,5,4,2] => [3,2,1,1,1]
[7,3,4,8,1,6,5,2] => [1,3,2,1,1]
[7,8,4,6,2,1,5,3] => [2,2,1,2,1]
[8,7,6,2,3,1,5,4] => [1,1,1,2,2,1]
[8,7,2,4,6,1,5,3] => [1,1,3,2,1]
[2,8,6,7,1,5,4,3] => [2,2,2,1,1]
[7,8,6,5,2,4,3,1] => [2,1,1,2,1,1]
[3,6,7,5,2,8,4,1] => [3,1,2,1,1]
[5,4,6,7,8,1,3,2] => [1,4,2,1]
[5,3,6,7,8,1,4,2] => [1,4,2,1]
[5,3,7,6,8,4,1,2] => [1,2,2,1,2]
[6,3,7,5,4,8,2,1] => [1,2,1,2,1,1]
[5,3,7,6,4,8,1,2] => [1,2,1,2,2]
[7,5,3,2,8,6,4,1] => [1,1,1,2,1,1,1]
[5,4,8,6,7,2,3,1] => [1,2,2,2,1]
[2,7,8,4,6,3,5,1] => [3,2,2,1]
[5,4,8,6,3,1,2,7] => [1,2,1,1,3]
[6,4,3,7,5,2,8,1] => [1,1,2,1,2,1]
[4,5,7,3,6,2,8,1] => [3,2,2,1]
[4,5,6,3,8,2,7,1] => [3,2,2,1]
[8,4,7,1,3,5,2,6] => [1,2,3,2]
[5,4,8,7,2,1,3,6] => [1,2,1,1,3]
[2,5,4,7,8,1,3,6] => [2,3,3]
[7,1,6,3,5,2,8,4] => [1,2,2,2,1]
[7,1,4,3,6,2,8,5] => [1,2,2,2,1]
[5,3,6,4,8,2,7,1] => [1,2,2,2,1]
[5,3,7,4,6,2,8,1] => [1,2,2,2,1]
[8,2,6,3,7,4,5,1] => [1,2,2,2,1]
[8,2,4,7,3,5,6,1] => [1,3,3,1]
[8,2,6,5,7,3,4,1] => [1,2,2,2,1]
[8,3,4,5,7,2,6,1] => [1,4,2,1]
[4,5,6,2,7,3,8,1] => [3,2,2,1]
[5,2,7,1,3,6,8,4] => [1,2,4,1]
[5,3,1,7,6,2,8,4] => [1,1,2,1,2,1]
[7,5,1,6,4,2,8,3] => [1,1,2,1,2,1]
[7,4,6,1,5,2,8,3] => [1,2,2,2,1]
[5,4,6,2,8,3,7,1] => [1,2,2,2,1]
[8,4,6,1,7,2,5,3] => [1,2,2,2,1]
[8,5,1,6,2,7,4,3] => [1,1,2,2,1,1]
[5,2,1,6,3,8,7,4] => [1,1,2,2,1,1]
[4,5,6,3,7,1,8,2] => [3,2,2,1]
[6,3,2,8,5,4,1,7] => [1,1,2,1,1,2]
[2,7,4,1,5,3,6,8] => [2,1,2,3]
[3,8,4,2,5,1,6,7] => [2,1,2,3]
[4,3,1,5,2,8,6,7] => [1,1,2,2,2]
[8,5,4,1,3,2,6,7] => [1,1,1,2,3]
[3,8,4,1,5,2,6,7] => [2,1,2,3]
[2,5,4,3,8,1,6,7] => [2,1,2,3]
[2,5,7,4,3,1,6,8] => [3,1,1,3]
[5,3,4,2,7,1,6,8] => [1,2,2,3]
[3,7,5,4,1,2,6,8] => [2,1,1,4]
[7,5,1,4,3,2,6,8] => [1,1,2,1,3]
[4,5,3,1,2,7,6,8] => [2,1,3,2]
[4,2,5,1,3,8,7,6] => [1,2,3,1,1]
[4,3,5,1,2,7,6,8] => [1,2,3,2]
[5,3,4,1,7,2,6,8] => [1,2,2,3]
[4,1,6,3,5,2,7,8] => [1,2,2,3]
[4,1,6,5,3,2,7,8] => [1,2,1,1,3]
[7,1,5,3,2,6,4,8] => [1,2,1,2,2]
[4,2,1,8,6,3,7,5] => [1,1,2,1,2,1]
[7,3,6,4,1,2,5,8] => [1,2,1,4]
[7,1,6,3,5,2,4,8] => [1,2,2,3]
[3,1,7,2,5,6,4,8] => [1,2,3,2]
[2,6,5,3,1,4,7,8] => [2,1,1,4]
[7,6,2,1,5,3,4,8] => [1,1,1,2,3]
[3,7,5,4,2,1,6,8] => [2,1,1,1,3]
[3,7,2,4,1,6,5,8] => [2,2,2,2]
[2,7,6,4,1,3,5,8] => [2,1,1,4]
[7,3,2,1,6,4,5,8] => [1,1,1,2,3]
[2,7,3,1,6,4,5,8] => [2,1,2,3]
[5,8,3,2,7,4,1,6] => [2,1,2,1,2]
[2,8,6,1,7,4,3,5] => [2,1,2,1,2]
[7,3,2,6,1,5,4,8] => [1,1,2,2,2]
[2,7,3,6,1,5,4,8] => [2,2,2,2]
[2,3,7,6,1,5,4,8] => [3,1,2,2]
[2,5,4,6,1,3,7,8] => [2,2,4]
[2,5,6,4,1,3,7,8] => [3,1,4]
[2,5,4,1,7,3,6,8] => [2,1,2,3]
[6,4,1,7,2,5,3,8] => [1,1,2,2,2]
[2,8,5,7,1,3,6,4] => [2,2,3,1]
[8,5,2,6,1,3,7,4] => [1,1,2,3,1]
[7,1,5,6,3,2,4,8] => [1,3,1,3]
[7,1,2,5,4,6,3,8] => [1,3,2,2]
[2,4,1,6,5,3,7,8] => [2,2,1,3]
[4,1,2,7,5,6,3,8] => [1,3,2,2]
[7,1,2,6,5,4,3,8] => [1,3,1,1,2]
[7,5,1,4,6,2,3,8] => [1,1,3,3]
[7,1,3,5,6,2,4,8] => [1,4,3]
[8,2,1,5,6,3,7,4] => [1,1,3,2,1]
[2,8,5,1,6,4,7,3] => [2,1,2,2,1]
[6,1,4,5,3,2,7,8] => [1,3,1,3]
[3,1,6,5,4,2,7,8] => [1,2,1,1,3]
[3,1,4,6,5,2,7,8] => [1,3,1,3]
[6,4,1,5,3,2,8,7] => [1,1,2,1,2,1]
[8,6,1,5,2,3,7,4] => [1,1,2,3,1]
[5,7,3,1,8,4,2,6] => [2,1,2,1,2]
[2,1,8,6,3,7,5,4] => [1,2,1,2,1,1]
[4,8,2,3,7,6,5,1] => [2,3,1,1,1]
[5,8,3,1,7,6,4,2] => [2,1,2,1,1,1]
[7,8,5,1,2,6,4,3] => [2,1,3,1,1]
[6,8,5,7,2,4,3,1] => [2,2,2,1,1]
[7,4,6,3,1,8,2,5] => [1,2,1,2,2]
[7,4,1,6,8,3,2,5] => [1,1,3,1,2]
[7,6,3,2,8,5,1,4] => [1,1,1,2,1,2]
[7,5,1,8,4,6,2,3] => [1,1,2,2,2]
[7,6,2,4,1,3,8,5] => [1,1,2,3,1]
[7,3,8,5,2,6,1,4] => [1,2,1,2,2]
[5,3,8,4,7,2,1,6] => [1,2,2,1,2]
[5,6,3,8,7,4,1,2] => [2,2,1,1,2]
[5,2,6,8,7,4,1,3] => [1,3,1,1,2]
[6,7,3,8,1,5,4,2] => [2,2,2,1,1]
[6,3,8,4,1,5,2,7] => [1,2,1,2,2]
[6,3,8,1,5,4,2,7] => [1,2,2,1,2]
[6,3,8,1,4,5,2,7] => [1,2,3,2]
[4,3,8,5,7,2,6,1] => [1,2,2,2,1]
[6,3,8,5,1,4,2,7] => [1,2,1,2,2]
[6,3,8,5,4,1,2,7] => [1,2,1,1,3]
[6,3,8,4,5,1,2,7] => [1,2,2,3]
[2,6,3,4,8,1,5,7] => [2,3,3]
[5,6,1,8,7,4,3,2] => [2,2,1,1,1,1]
[5,2,3,1,4,8,6,7] => [1,2,3,2]
[5,4,1,3,2,8,6,7] => [1,1,2,2,2]
[3,7,4,2,8,5,6,1] => [2,1,2,2,1]
[5,1,4,3,2,8,6,7] => [1,2,1,2,2]
[5,1,3,4,2,8,6,7] => [1,3,2,2]
[5,2,1,4,3,8,6,7] => [1,1,2,2,2]
[5,2,1,3,4,8,6,7] => [1,1,4,2]
[5,1,2,4,3,8,6,7] => [1,3,2,2]
[6,7,1,8,3,5,4,2] => [2,2,2,1,1]
[3,2,6,1,8,4,5,7] => [1,2,2,3]
[4,2,7,3,8,5,1,6] => [1,2,2,1,2]
[4,7,3,2,8,5,1,6] => [2,1,2,1,2]
[2,3,7,4,8,5,1,6] => [3,2,1,2]
[5,7,6,8,2,4,3,1] => [2,2,2,1,1]
[4,3,7,2,8,5,6,1] => [1,2,2,2,1]
[2,3,7,1,8,5,4,6] => [3,2,1,2]
[5,3,1,2,4,8,6,7] => [1,1,4,2]
[5,4,3,1,2,8,6,7] => [1,1,1,3,2]
[5,2,4,1,3,8,6,7] => [1,2,3,2]
[5,2,4,3,1,8,6,7] => [1,2,1,2,2]
[3,4,2,7,8,5,6,1] => [2,3,2,1]
[4,3,1,6,8,2,5,7] => [1,1,3,3]
[5,3,4,1,2,8,6,7] => [1,2,3,2]
[5,3,2,4,1,8,6,7] => [1,1,2,2,2]
[5,2,3,4,1,8,6,7] => [1,3,2,2]
[2,6,1,7,4,5,8,3] => [2,2,3,1]
[5,1,7,3,4,6,8,2] => [1,2,4,1]
[5,8,7,4,3,1,6,2] => [2,1,1,1,2,1]
[6,8,7,1,4,3,5,2] => [2,1,2,2,1]
[7,3,1,4,5,8,6,2] => [1,1,4,1,1]
[6,8,1,3,4,5,7,2] => [2,5,1]
[5,8,1,3,4,6,7,2] => [2,5,1]
[5,2,6,3,7,8,1,4] => [1,2,3,2]
[3,5,2,8,1,6,7,4] => [2,2,3,1]
[4,5,6,2,8,1,7,3] => [3,2,2,1]
[2,6,1,4,8,5,7,3] => [2,3,2,1]
[6,1,8,4,2,5,3,7] => [1,2,1,2,2]
[8,4,5,1,6,2,3,7] => [1,2,2,3]
[5,1,6,3,2,8,4,7] => [1,2,1,2,2]
[3,1,7,8,2,5,4,6] => [1,3,2,2]
[6,2,8,3,5,7,1,4] => [1,2,3,2]
[6,2,3,7,4,1,8,5] => [1,3,1,2,1]
[6,3,7,4,1,2,5,8] => [1,2,1,4]
[7,2,6,8,4,3,1,5] => [1,3,1,1,2]
[3,7,2,8,6,5,1,4] => [2,2,1,1,2]
[5,2,7,3,6,1,8,4] => [1,2,2,2,1]
[3,6,7,5,1,2,4,8] => [3,1,4]
[2,7,5,8,1,6,4,3] => [2,2,2,1,1]
[7,4,5,1,8,2,3,6] => [1,2,2,3]
[4,7,1,8,2,3,6,5] => [2,2,3,1]
[7,2,3,1,8,4,5,6] => [1,2,2,3]
[2,1,4,8,3,7,5,6] => [1,3,2,2]
[6,2,8,1,7,3,4,5] => [1,2,2,3]
[4,8,1,6,7,3,2,5] => [2,3,1,2]
[1,2,7,8,4,3,6,5] => [4,1,2,1]
[5,8,1,4,3,2,7,6] => [2,2,1,2,1]
[4,8,1,3,5,6,2,7] => [2,4,2]
[6,8,1,3,2,4,5,7] => [2,2,4]
[3,7,4,1,5,6,8,2] => [2,1,4,1]
[5,3,7,8,4,2,6,1] => [1,3,1,2,1]
[6,3,7,8,2,4,5,1] => [1,3,3,1]
[7,3,5,2,4,8,6,1] => [1,2,3,1,1]
[8,5,2,4,3,1,7,6] => [1,1,2,1,2,1]
[7,5,4,2,3,1,8,6] => [1,1,1,2,2,1]
[4,6,5,3,1,8,2,7] => [2,1,1,2,2]
[5,7,4,1,3,2,8,6] => [2,1,2,2,1]
[8,6,2,5,1,7,3,4] => [1,1,2,2,2]
[3,7,6,1,8,4,5,2] => [2,1,2,2,1]
[7,5,6,2,8,1,3,4] => [1,2,2,3]
[3,5,6,4,8,1,7,2] => [3,2,2,1]
[8,4,2,5,3,7,1,6] => [1,1,2,2,2]
[3,5,4,6,7,1,8,2] => [2,3,2,1]
[1,4,2,6,5,8,7,3] => [2,2,2,1,1]
[1,3,2,6,4,8,7,5] => [2,2,2,1,1]
[1,4,2,5,3,8,7,6] => [2,2,2,1,1]
[1,4,2,6,3,8,7,5] => [2,2,2,1,1]
[1,5,2,6,4,8,7,3] => [2,2,2,1,1]
[1,5,3,6,4,8,7,2] => [2,2,2,1,1]
[1,6,2,5,3,8,7,4] => [2,2,2,1,1]
[2,5,1,4,3,8,7,6] => [2,2,2,1,1]
[1,7,2,5,4,8,6,3] => [2,2,2,1,1]
[1,7,3,5,4,8,6,2] => [2,2,2,1,1]
[1,8,2,6,3,7,5,4] => [2,2,2,1,1]
[1,8,3,6,4,7,5,2] => [2,2,2,1,1]
[1,7,3,6,4,8,5,2] => [2,2,2,1,1]
[1,7,2,6,4,8,5,3] => [2,2,2,1,1]
[1,7,2,6,3,8,5,4] => [2,2,2,1,1]
[1,5,2,7,4,8,6,3] => [2,2,2,1,1]
[1,4,3,7,5,8,6,2] => [2,2,2,1,1]
[1,4,2,8,5,7,6,3] => [2,2,2,1,1]
[1,3,2,8,4,7,6,5] => [2,2,2,1,1]
[4,8,1,3,2,6,5,7] => [2,2,2,2]
[1,5,2,8,4,7,6,3] => [2,2,2,1,1]
[1,5,3,8,4,7,6,2] => [2,2,2,1,1]
[1,6,3,8,4,7,5,2] => [2,2,2,1,1]
[1,6,2,8,3,7,5,4] => [2,2,2,1,1]
[2,7,3,8,1,5,4,6] => [2,2,2,2]
[2,8,3,7,1,5,4,6] => [2,2,2,2]
[1,8,4,7,3,6,5,2] => [2,2,2,1,1]
[1,7,4,8,3,6,5,2] => [2,2,2,1,1]
[3,8,2,6,1,5,4,7] => [2,2,2,2]
[2,6,3,8,1,5,4,7] => [2,2,2,2]
[8,3,1,4,2,6,5,7] => [1,1,2,2,2]
[4,8,7,3,5,2,1,6] => [2,1,2,1,2]
[6,8,7,3,5,2,4,1] => [2,1,2,2,1]
[8,3,5,1,2,6,4,7] => [1,2,3,2]
[8,6,3,1,5,4,2,7] => [1,1,1,2,1,2]
[8,6,4,1,5,3,2,7] => [1,1,1,2,1,2]
[8,6,5,4,1,3,2,7] => [1,1,1,1,2,2]
[5,3,8,7,4,6,2,1] => [1,2,1,2,1,1]
[2,3,8,7,4,6,1,5] => [3,1,2,2]
[8,3,5,7,4,1,2,6] => [1,3,1,3]
[4,8,5,3,1,2,7,6] => [2,1,1,3,1]
[6,8,7,3,1,5,4,2] => [2,1,1,2,1,1]
[6,8,5,4,1,3,7,2] => [2,1,1,3,1]
[2,5,8,7,4,6,3,1] => [3,1,2,1,1]
[4,8,7,6,5,1,3,2] => [2,1,1,1,2,1]
[3,8,7,5,1,6,2,4] => [2,1,1,2,2]
[2,3,8,7,5,6,1,4] => [3,1,2,2]
[2,8,7,1,3,6,4,5] => [2,1,3,2]
[8,5,4,7,2,1,3,6] => [1,1,2,1,3]
[6,8,7,3,5,2,1,4] => [2,1,2,1,2]
[3,5,8,6,4,2,7,1] => [3,1,1,2,1]
[6,8,4,1,5,2,7,3] => [2,1,2,2,1]
[6,8,2,1,7,5,3,4] => [2,1,2,1,2]
[5,8,4,6,1,2,7,3] => [2,2,3,1]
[2,4,8,6,5,1,7,3] => [3,1,1,2,1]
[4,8,7,6,5,2,1,3] => [2,1,1,1,1,2]
[4,8,7,5,1,6,2,3] => [2,1,1,2,2]
[4,5,2,1,8,6,7,3] => [2,1,2,2,1]
[4,5,8,3,1,6,7,2] => [3,1,3,1]
[5,7,2,8,4,6,1,3] => [2,2,2,2]
[6,7,3,2,4,8,5,1] => [2,1,3,1,1]
[7,2,8,6,4,5,1,3] => [1,2,1,2,2]
[8,7,2,6,5,1,3,4] => [1,1,2,1,3]
[5,2,7,8,4,1,3,6] => [1,3,1,3]
[2,7,8,6,4,1,3,5] => [3,1,1,3]
[7,6,3,5,2,8,4,1] => [1,1,2,2,1,1]
[6,2,7,4,8,5,3,1] => [1,2,2,1,1,1]
[8,6,5,1,7,2,4,3] => [1,1,1,2,2,1]
[6,8,5,1,7,3,2,4] => [2,1,2,1,2]
[1,6,8,3,7,4,2,5] => [3,2,1,2]
[5,1,6,3,4,8,2,7] => [1,2,3,2]
[3,5,2,6,4,8,1,7] => [2,2,2,2]
[3,5,2,4,8,1,7,6] => [2,3,2,1]
[6,3,8,2,4,1,7,5] => [1,2,2,2,1]
[4,6,3,8,7,5,2,1] => [2,2,1,1,1,1]
[6,3,8,7,5,4,2,1] => [1,2,1,1,1,1,1]
[6,8,4,2,1,7,5,3] => [2,1,1,2,1,1]
[5,2,6,4,3,8,1,7] => [1,2,1,2,2]
[6,5,3,1,4,8,2,7] => [1,1,1,3,2]
[3,1,7,8,6,4,2,5] => [1,3,1,1,2]
[3,8,1,7,6,2,5,4] => [2,2,1,2,1]
[8,1,7,6,4,2,5,3] => [1,2,1,1,2,1]
[7,2,6,3,8,5,4,1] => [1,2,2,1,1,1]
[7,3,8,6,4,1,5,2] => [1,2,1,1,2,1]
[1,7,5,8,2,4,3,6] => [2,2,2,2]
[6,1,5,2,4,8,3,7] => [1,2,3,2]
[1,5,6,3,8,2,4,7] => [3,2,3]
[8,7,1,3,6,5,2,4] => [1,1,3,1,2]
[2,6,7,4,3,8,5,1] => [3,1,2,1,1]
[5,2,4,7,3,8,6,1] => [1,3,2,1,1]
[1,5,8,7,2,4,6,3] => [3,1,3,1]
[1,4,8,7,3,6,5,2] => [3,1,2,1,1]
[8,3,7,2,5,1,6,4] => [1,2,2,2,1]
[3,7,2,8,1,5,4,6] => [2,2,2,2]
[3,2,6,1,5,8,4,7] => [1,2,3,2]
[7,2,1,5,8,4,3,6] => [1,1,3,1,2]
[7,2,8,1,4,3,6,5] => [1,2,2,2,1]
[1,7,8,3,2,6,5,4] => [3,1,2,1,1]
[1,7,4,8,3,2,6,5] => [2,2,1,2,1]
[1,7,5,4,8,3,2,6] => [2,1,2,1,2]
[6,1,5,4,3,8,2,7] => [1,2,1,2,2]
[1,7,4,5,6,8,2,3] => [2,4,2]
[1,6,4,2,3,5,7,8] => [2,1,5]
[1,6,5,2,3,4,7,8] => [2,1,5]
[1,8,5,2,3,4,6,7] => [2,1,5]
[1,8,7,2,3,4,5,6] => [2,1,5]
[1,5,8,6,2,3,4,7] => [3,1,4]
[1,6,8,5,2,3,4,7] => [3,1,4]
[1,6,7,5,2,3,4,8] => [3,1,4]
[1,6,5,7,2,3,4,8] => [2,2,4]
[1,7,5,6,2,3,4,8] => [2,2,4]
[1,7,6,5,2,3,4,8] => [2,1,1,4]
[1,3,2,7,6,4,5,8] => [2,2,1,3]
[1,2,3,7,6,4,5,8] => [4,1,3]
[1,5,4,2,3,7,6,8] => [2,1,3,2]
[1,8,2,3,7,4,5,6] => [2,3,3]
[1,5,4,2,3,8,6,7] => [2,1,3,2]
[1,3,2,8,6,4,5,7] => [2,2,1,3]
[1,8,6,5,2,3,4,7] => [2,1,1,4]
[1,7,5,8,2,3,4,6] => [2,2,4]
[1,8,7,5,2,3,4,6] => [2,1,1,4]
[1,7,4,2,8,3,5,6] => [2,1,2,3]
[1,7,8,5,2,3,4,6] => [3,1,4]
[2,1,5,8,6,3,7,4] => [1,3,1,2,1]
[2,5,8,4,6,1,7,3] => [3,2,2,1]
[2,5,3,8,6,1,7,4] => [2,2,1,2,1]
[2,6,3,5,8,1,7,4] => [2,3,2,1]
[6,3,2,5,8,1,7,4] => [1,1,3,2,1]
[5,3,2,8,6,1,7,4] => [1,1,2,1,2,1]
[5,8,4,6,1,3,7,2] => [2,2,3,1]
[5,3,8,6,1,4,7,2] => [1,2,1,3,1]
[2,6,5,4,8,1,7,3] => [2,1,2,2,1]
[8,3,5,7,2,6,4,1] => [1,3,2,1,1]
[2,4,6,8,5,3,7,1] => [4,1,2,1]
[2,4,8,1,7,6,5,3] => [3,2,1,1,1]
[4,3,8,1,5,7,6,2] => [1,2,3,1,1]
[3,8,4,1,5,7,6,2] => [2,1,3,1,1]
[4,3,6,8,5,2,7,1] => [1,3,1,2,1]
[8,5,4,7,2,6,3,1] => [1,1,2,2,1,1]
[3,6,8,5,4,2,7,1] => [3,1,1,2,1]
[3,6,4,8,5,2,7,1] => [2,2,1,2,1]
[3,6,4,1,8,2,7,5] => [2,1,2,2,1]
[3,6,4,1,5,2,8,7] => [2,1,2,2,1]
[4,8,6,5,1,3,7,2] => [2,1,1,3,1]
[2,8,3,5,6,7,1,4] => [2,4,2]
[5,6,2,4,7,1,8,3] => [2,3,2,1]
[2,7,5,4,6,1,8,3] => [2,1,2,2,1]
[2,3,7,4,6,1,8,5] => [3,2,2,1]
[2,6,7,4,1,3,8,5] => [3,1,3,1]
[6,5,7,4,1,3,8,2] => [1,2,1,3,1]
[2,4,6,3,5,7,8,1] => [3,4,1]
[4,1,6,3,5,7,8,2] => [1,2,4,1]
[3,6,4,2,5,7,8,1] => [2,1,4,1]
[2,3,6,1,5,7,8,4] => [3,4,1]
[4,3,6,2,5,7,8,1] => [1,2,4,1]
[4,6,1,2,5,7,8,3] => [2,5,1]
[2,6,4,1,5,7,8,3] => [2,1,4,1]
[2,4,1,6,5,7,8,3] => [2,2,3,1]
[8,6,5,3,1,7,4,2] => [1,1,1,1,2,1,1]
[6,4,7,3,1,8,5,2] => [1,2,1,2,1,1]
[6,4,7,5,3,1,8,2] => [1,2,1,1,2,1]
[6,4,2,7,5,1,8,3] => [1,1,2,1,2,1]
[7,5,4,2,6,3,1,8] => [1,1,1,2,1,2]
[7,5,4,2,6,1,8,3] => [1,1,1,2,2,1]
[7,5,4,6,3,1,8,2] => [1,1,2,1,2,1]
[4,7,3,1,8,6,5,2] => [2,1,2,1,1,1]
[4,8,6,5,3,1,7,2] => [2,1,1,1,2,1]
[5,6,4,7,3,1,8,2] => [2,2,1,2,1]
[5,6,4,2,7,1,8,3] => [2,1,2,2,1]
[5,3,6,8,2,1,7,4] => [1,3,1,2,1]
[4,2,7,5,3,1,8,6] => [1,2,1,1,2,1]
[4,2,8,6,5,3,1,7] => [1,2,1,1,1,2]
[5,4,2,8,6,3,1,7] => [1,1,2,1,1,2]
[5,6,3,2,8,4,1,7] => [2,1,2,1,2]
[5,3,6,4,8,2,1,7] => [1,2,2,1,2]
[6,8,4,3,2,5,1,7] => [2,1,1,2,2]
[4,8,3,2,6,5,1,7] => [2,1,2,1,2]
[7,3,2,5,4,1,8,6] => [1,1,2,1,2,1]
[7,3,2,5,1,8,6,4] => [1,1,2,2,1,1]
[4,6,3,8,7,2,1,5] => [2,2,1,1,2]
[4,7,6,3,2,5,1,8] => [2,1,1,2,2]
[4,7,6,3,8,2,1,5] => [2,1,2,1,2]
[4,7,3,8,6,2,1,5] => [2,2,1,1,2]
[5,4,8,7,2,1,6,3] => [1,2,1,1,2,1]
[7,5,4,8,2,1,6,3] => [1,1,2,1,2,1]
[5,7,3,2,6,1,8,4] => [2,1,2,2,1]
[5,7,3,2,6,4,1,8] => [2,1,2,1,2]
[6,4,2,7,1,8,5,3] => [1,1,2,2,1,1]
[6,2,7,5,1,8,4,3] => [1,2,1,2,1,1]
[2,7,5,1,8,6,4,3] => [2,1,2,1,1,1]
[2,7,5,3,1,8,6,4] => [2,1,1,2,1,1]
[2,8,6,5,3,1,7,4] => [2,1,1,1,2,1]
[3,7,5,4,2,6,1,8] => [2,1,1,2,2]
[7,5,2,8,4,3,1,6] => [1,1,2,1,1,2]
[5,2,8,7,4,3,1,6] => [1,2,1,1,1,2]
[4,2,7,3,1,8,6,5] => [1,2,1,2,1,1]
[7,3,2,4,1,8,6,5] => [1,1,2,2,1,1]
[5,3,2,8,7,4,1,6] => [1,1,2,1,1,2]
[8,4,3,2,7,5,1,6] => [1,1,1,2,1,2]
[4,3,7,5,8,2,1,6] => [1,2,2,1,2]
[4,3,7,5,2,6,1,8] => [1,2,1,2,2]
[4,5,7,3,2,6,1,8] => [3,1,2,2]
[4,5,7,3,8,2,1,6] => [3,2,1,2]
[8,4,5,3,7,2,1,6] => [1,2,2,1,2]
[4,3,5,8,7,2,1,6] => [1,3,1,1,2]
[3,5,4,8,7,2,1,6] => [2,2,1,1,2]
[3,6,4,8,2,1,7,5] => [2,2,1,2,1]
[3,4,2,7,1,8,6,5] => [2,2,2,1,1]
[3,4,2,7,5,1,8,6] => [2,2,1,2,1]
[3,4,2,8,6,5,1,7] => [2,2,1,1,2]
[4,3,5,2,8,6,1,7] => [1,2,2,1,2]
[4,5,3,6,8,2,1,7] => [2,3,1,2]
[1,2,8,6,4,5,7,3] => [3,1,3,1]
[1,8,5,3,4,6,7,2] => [2,1,4,1]
[7,8,4,1,6,3,5,2] => [2,1,2,2,1]
[8,7,5,6,1,3,4,2] => [1,1,2,3,1]
[3,2,6,4,1,8,5,7] => [1,2,1,2,2]
[2,8,6,5,3,1,4,7] => [2,1,1,1,3]
[5,4,8,6,2,3,1,7] => [1,2,1,2,2]
[4,8,7,5,2,3,1,6] => [2,1,1,2,2]
[5,2,4,7,6,8,3,1] => [1,3,2,1,1]
[2,5,3,7,6,8,4,1] => [2,2,2,1,1]
[8,6,5,1,4,2,3,7] => [1,1,1,2,3]
[4,1,2,8,6,5,3,7] => [1,3,1,1,2]
[8,5,1,3,2,6,4,7] => [1,1,2,2,2]
[4,6,1,8,5,2,3,7] => [2,2,1,3]
[3,4,2,8,7,5,1,6] => [2,2,1,1,2]
[8,5,7,6,3,2,4,1] => [1,2,1,1,2,1]
[6,4,1,8,7,3,2,5] => [1,1,2,1,1,2]
[1,8,5,4,2,7,3,6] => [2,1,1,2,2]
[3,7,1,2,8,5,4,6] => [2,3,1,2]
[7,4,6,8,3,1,5,2] => [1,3,1,2,1]
[3,7,6,1,5,8,4,2] => [2,1,3,1,1]
[3,6,5,8,2,7,4,1] => [2,2,2,1,1]
[8,3,2,7,4,6,5,1] => [1,1,2,2,1,1]
[1,7,6,4,8,3,5,2] => [2,1,2,2,1]
[7,5,8,4,1,3,6,2] => [1,2,1,3,1]
[7,1,6,2,3,8,4,5] => [1,2,3,2]
[6,4,7,1,3,2,8,5] => [1,2,2,2,1]
[5,1,3,8,7,2,6,4] => [1,3,1,2,1]
[8,7,1,6,2,5,3,4] => [1,1,2,2,2]
[3,8,5,2,4,7,6,1] => [2,1,3,1,1]
[2,8,7,3,5,1,6,4] => [2,1,2,2,1]
[8,7,5,2,3,6,1,4] => [1,1,1,3,2]
[3,1,7,4,8,6,2,5] => [1,2,2,1,2]
[7,1,5,2,4,8,3,6] => [1,2,3,2]
[3,8,5,1,4,7,2,6] => [2,1,3,2]
[7,2,5,4,1,3,8,6] => [1,2,1,3,1]
[6,4,1,8,7,2,3,5] => [1,1,2,1,3]
[8,7,1,6,3,2,4,5] => [1,1,2,1,3]
[7,3,2,5,8,4,1,6] => [1,1,3,1,2]
[4,7,2,3,8,1,6,5] => [2,3,2,1]
[8,2,3,1,6,7,5,4] => [1,2,3,1,1]
[7,5,8,1,6,3,2,4] => [1,2,2,1,2]
[3,7,2,5,6,4,8,1] => [2,3,2,1]
[6,7,2,4,1,5,8,3] => [2,2,3,1]
[4,2,7,5,1,6,8,3] => [1,2,1,3,1]
[5,8,1,6,2,3,7,4] => [2,2,3,1]
[5,1,2,8,4,7,6,3] => [1,3,2,1,1]
[8,2,3,7,4,6,5,1] => [1,3,2,1,1]
[7,1,4,8,5,6,2,3] => [1,3,2,2]
[8,5,6,1,2,4,7,3] => [1,2,4,1]
[5,2,6,8,4,7,1,3] => [1,3,2,2]
[3,6,5,8,2,7,1,4] => [2,2,2,2]
[7,1,6,3,8,2,5,4] => [1,2,2,2,1]
[8,1,5,6,4,3,7,2] => [1,3,1,2,1]
[7,3,8,1,4,6,5,2] => [1,2,3,1,1]
[7,4,6,1,3,2,5,8] => [1,2,2,3]
[1,4,5,8,6,3,2,7] => [4,1,1,2]
[8,4,5,7,2,6,1,3] => [1,3,2,2]
[7,4,1,5,6,3,2,8] => [1,1,3,1,2]
[3,7,4,5,6,2,1,8] => [2,3,1,2]
[4,5,2,6,7,3,1,8] => [2,3,1,2]
[7,1,2,5,6,3,4,8] => [1,4,3]
[8,1,7,5,3,6,2,4] => [1,2,1,2,2]
[1,8,6,3,5,7,2,4] => [2,1,3,2]
[5,8,6,3,1,7,2,4] => [2,1,1,2,2]
[4,8,6,3,5,7,2,1] => [2,1,3,1,1]
[4,7,8,3,2,6,1,5] => [3,1,2,2]
[5,2,8,3,6,1,4,7] => [1,2,2,3]
[2,1,6,5,8,3,4,7] => [1,2,2,3]
[5,2,6,3,1,7,8,4] => [1,2,1,3,1]
[6,2,5,7,3,4,8,1] => [1,3,3,1]
[7,2,5,6,3,1,8,4] => [1,3,1,2,1]
[7,4,3,1,5,2,8,6] => [1,1,1,2,2,1]
[4,8,6,5,1,7,2,3] => [2,1,1,2,2]
[4,3,5,1,6,7,8,2] => [1,2,4,1]
[5,1,4,3,6,7,8,2] => [1,2,4,1]
[4,6,5,2,3,7,8,1] => [2,1,4,1]
[5,7,6,1,2,3,8,4] => [2,1,4,1]
[3,6,7,5,1,2,8,4] => [3,1,3,1]
[1,7,6,8,5,2,4,3] => [2,2,1,2,1]
[5,7,6,8,1,2,4,3] => [2,2,3,1]
[6,1,2,7,5,4,8,3] => [1,3,1,2,1]
[7,5,4,2,8,6,3,1] => [1,1,1,2,1,1,1]
[3,1,5,8,7,6,4,2] => [1,3,1,1,1,1]
[3,4,6,1,5,2,8,7] => [3,2,2,1]
[5,6,3,7,1,4,8,2] => [2,2,3,1]
[3,1,2,5,8,6,4,7] => [1,4,1,2]
[5,3,2,1,8,6,4,7] => [1,1,1,2,1,2]
[3,8,7,4,5,1,2,6] => [2,1,2,3]
[7,5,1,4,2,3,8,6] => [1,1,2,3,1]
[2,6,3,4,1,7,8,5] => [2,2,3,1]
[1,6,3,4,2,7,8,5] => [2,2,3,1]
[3,8,6,4,5,7,2,1] => [2,1,3,1,1]
[7,8,6,1,4,5,2,3] => [2,1,3,2]
[7,5,1,4,6,2,8,3] => [1,1,3,2,1]
[7,5,8,1,4,6,2,3] => [1,2,3,2]
[7,5,1,3,6,8,2,4] => [1,1,4,2]
[6,5,3,1,7,8,2,4] => [1,1,1,3,2]
[6,5,8,4,1,7,2,3] => [1,2,1,2,2]
[1,8,5,4,7,6,2,3] => [2,1,2,1,2]
[1,8,5,4,6,7,2,3] => [2,1,3,2]
[6,4,3,7,8,2,1,5] => [1,1,3,1,2]
[6,5,8,3,7,2,1,4] => [1,2,2,1,2]
[6,5,3,7,2,1,8,4] => [1,1,2,1,2,1]
[7,8,5,3,6,2,1,4] => [2,1,2,1,2]
[7,8,5,3,6,2,4,1] => [2,1,2,2,1]
[6,4,8,3,2,7,5,1] => [1,2,1,2,1,1]
[7,8,4,3,2,6,5,1] => [2,1,1,2,1,1]
[1,8,4,3,2,6,5,7] => [2,1,1,2,2]
[1,8,4,3,2,6,7,5] => [2,1,1,3,1]
[7,8,4,3,2,6,1,5] => [2,1,1,2,2]
[5,4,3,8,2,1,7,6] => [1,1,2,1,2,1]
[6,4,8,3,2,1,7,5] => [1,2,1,1,2,1]
[1,8,4,3,2,7,6,5] => [2,1,1,2,1,1]
[6,5,3,1,2,8,7,4] => [1,1,1,3,1,1]
[6,5,8,3,1,2,7,4] => [1,2,1,3,1]
[7,5,8,1,3,2,6,4] => [1,2,2,2,1]
[7,6,1,3,2,8,5,4] => [1,1,2,2,1,1]
[1,8,6,7,3,2,5,4] => [2,2,1,2,1]
[1,8,6,7,3,2,4,5] => [2,2,1,3]
[7,6,1,3,2,8,4,5] => [1,1,2,2,2]
[7,8,6,1,3,2,4,5] => [2,1,2,3]
[6,5,8,3,1,2,4,7] => [1,2,1,4]
[1,8,4,3,2,7,5,6] => [2,1,1,2,2]
[5,4,3,8,2,1,6,7] => [1,1,2,1,3]
[5,4,3,8,2,6,1,7] => [1,1,2,2,2]
[6,4,8,3,2,5,1,7] => [1,2,1,2,2]
[1,8,4,3,2,5,7,6] => [2,1,1,3,1]
[6,4,8,3,2,5,7,1] => [1,2,1,3,1]
[5,4,3,8,2,6,7,1] => [1,1,2,3,1]
[6,4,2,3,5,1,8,7] => [1,1,3,2,1]
[5,2,3,6,1,4,8,7] => [1,3,3,1]
[5,2,3,8,6,4,7,1] => [1,3,1,2,1]
[5,2,3,7,4,8,1,6] => [1,3,2,2]
[8,6,3,2,5,4,7,1] => [1,1,1,2,2,1]
[7,2,3,4,5,8,1,6] => [1,5,2]
[7,2,8,1,5,3,4,6] => [1,2,2,3]
[3,8,6,4,7,2,5,1] => [2,1,2,2,1]
[2,1,8,6,4,5,7,3] => [1,2,1,3,1]
[4,8,2,5,7,3,1,6] => [2,3,1,2]
[5,8,2,3,4,7,1,6] => [2,4,2]
[6,3,4,7,8,2,1,5] => [1,4,1,2]
[3,8,5,1,4,7,6,2] => [2,1,3,1,1]
[4,8,5,1,3,6,7,2] => [2,1,4,1]
[4,6,8,5,2,7,3,1] => [3,1,2,1,1]
[3,7,8,5,2,6,4,1] => [3,1,2,1,1]
[3,8,6,2,7,4,5,1] => [2,1,2,2,1]
[8,5,4,7,1,3,6,2] => [1,1,2,3,1]
[7,3,6,2,8,1,5,4] => [1,2,2,2,1]
[8,1,5,2,3,7,6,4] => [1,2,3,1,1]
[6,4,2,3,7,8,5,1] => [1,1,4,1,1]
[8,4,2,3,6,7,1,5] => [1,1,4,2]
[4,5,8,3,7,2,1,6] => [3,2,1,2]
[3,7,2,8,4,5,1,6] => [2,2,2,2]
[3,5,1,8,4,6,2,7] => [2,2,2,2]
[4,2,1,5,6,8,3,7] => [1,1,4,2]
[4,1,2,6,5,8,3,7] => [1,3,2,2]
[4,1,8,3,2,6,7,5] => [1,2,1,3,1]
[4,2,7,5,8,1,3,6] => [1,2,2,3]
[4,6,2,7,8,3,1,5] => [2,3,1,2]
[4,6,1,3,8,2,5,7] => [2,3,3]
[4,3,6,2,1,8,7,5] => [1,2,1,2,1,1]
[3,7,4,5,1,6,2,8] => [2,2,2,2]
[3,6,4,5,8,2,1,7] => [2,3,1,2]
[6,1,4,5,2,8,7,3] => [1,3,2,1,1]
[7,2,4,5,1,6,3,8] => [1,3,2,2]
[7,5,4,1,6,3,2,8] => [1,1,1,2,1,2]
[1,5,4,8,6,3,2,7] => [2,2,1,1,2]
[7,5,4,8,6,3,1,2] => [1,1,2,1,1,2]
[1,8,7,5,3,6,4,2] => [2,1,1,2,1,1]
[8,3,7,4,1,6,2,5] => [1,2,1,2,2]
[8,5,4,1,6,3,2,7] => [1,1,1,2,1,2]
[1,7,4,2,6,5,3,8] => [2,1,2,1,2]
[8,2,1,5,6,7,3,4] => [1,1,4,2]
[6,3,1,8,4,7,2,5] => [1,1,2,2,2]
[7,1,4,8,6,3,2,5] => [1,3,1,1,2]
[4,1,8,5,6,7,2,3] => [1,2,3,2]
[5,7,4,8,6,2,1,3] => [2,2,1,1,2]
[5,3,6,8,2,7,1,4] => [1,3,2,2]
[6,3,7,4,8,2,1,5] => [1,2,2,1,2]
[5,3,6,1,4,7,2,8] => [1,2,3,2]
[4,3,6,8,2,7,1,5] => [1,3,2,2]
[5,3,7,4,8,2,1,6] => [1,2,2,1,2]
[5,3,8,4,1,6,2,7] => [1,2,1,2,2]
[5,3,8,1,4,7,2,6] => [1,2,3,2]
[5,8,4,1,6,3,2,7] => [2,1,2,1,2]
[7,3,8,4,1,6,2,5] => [1,2,1,2,2]
[1,5,8,3,6,7,4,2] => [3,3,1,1]
[1,8,2,5,6,7,3,4] => [2,4,2]
[7,8,4,1,6,5,2,3] => [2,1,2,1,2]
[6,3,8,1,5,7,2,4] => [1,2,3,2]
[8,3,1,2,5,7,4,6] => [1,1,4,2]
[8,1,4,2,6,5,3,7] => [1,2,2,1,2]
[5,1,3,7,4,8,2,6] => [1,3,2,2]
[5,1,3,4,7,8,2,6] => [1,5,2]
[2,5,8,7,4,3,6,1] => [3,1,1,2,1]
[5,4,1,8,3,2,7,6] => [1,1,2,1,2,1]
[5,1,4,3,8,7,2,6] => [1,2,2,1,2]
[5,1,7,8,3,4,2,6] => [1,3,2,2]
[5,4,1,3,8,2,7,6] => [1,1,3,2,1]
[2,5,4,8,3,7,6,1] => [2,2,2,1,1]
[5,2,1,4,8,3,6,7] => [1,1,3,3]
[5,2,1,8,4,3,6,7] => [1,1,2,1,3]
[5,8,1,2,3,6,4,7] => [2,4,2]
[5,6,8,2,3,4,1,7] => [3,3,2]
[2,3,5,7,4,6,8,1] => [4,3,1]
[4,5,2,3,8,6,1,7] => [2,3,1,2]
[4,5,2,8,3,6,1,7] => [2,2,2,2]
[3,7,4,5,8,1,2,6] => [2,3,3]
[3,7,8,1,4,5,2,6] => [3,3,2]
[4,8,7,1,5,3,2,6] => [2,1,2,1,2]
[5,8,2,1,6,3,4,7] => [2,1,2,3]
[3,7,1,8,5,4,2,6] => [2,2,1,1,2]
[4,8,1,3,7,5,2,6] => [2,3,1,2]
[5,4,2,1,3,6,8,7] => [1,1,1,4,1]
[2,5,3,8,4,6,7,1] => [2,2,3,1]
[2,4,7,8,5,3,6,1] => [4,1,2,1]
[4,8,3,1,5,7,2,6] => [2,1,3,2]
[5,3,1,4,7,2,8,6] => [1,1,3,2,1]
[5,3,1,7,4,2,8,6] => [1,1,2,1,2,1]
[4,3,8,5,1,2,7,6] => [1,2,1,3,1]
[2,4,7,5,8,3,6,1] => [3,2,2,1]
[4,3,5,8,2,1,7,6] => [1,3,1,2,1]
[4,8,5,3,7,1,2,6] => [2,1,2,3]
[4,8,5,7,3,1,2,6] => [2,2,1,3]
[4,8,7,5,1,3,2,6] => [2,1,1,2,2]
[4,2,8,5,1,3,6,7] => [1,2,1,4]
[3,7,8,4,1,5,2,6] => [3,1,2,2]
[3,4,7,5,8,2,1,6] => [3,2,1,2]
[3,4,5,7,2,8,1,6] => [4,2,2]
[1,3,6,8,7,2,4,5] => [4,1,3]
[1,5,4,8,7,2,3,6] => [2,2,1,3]
[1,6,3,8,2,5,4,7] => [2,2,2,2]
[1,8,5,7,2,4,3,6] => [2,2,2,2]
[1,8,5,4,2,3,6,7] => [2,1,1,4]
[1,3,6,8,5,4,2,7] => [4,1,1,2]
[1,6,3,8,4,5,2,7] => [2,2,2,2]
[1,8,2,6,4,5,3,7] => [2,2,2,2]
[1,5,2,7,4,8,3,6] => [2,2,2,2]
[1,6,3,8,2,7,4,5] => [2,2,2,2]
[1,4,2,7,5,8,3,6] => [2,2,2,2]
[1,8,2,3,6,7,5,4] => [2,4,1,1]
[1,3,6,8,2,7,5,4] => [4,2,1,1]
[1,6,5,4,3,8,2,7] => [2,1,1,2,2]
[1,8,3,4,5,6,2,7] => [2,4,2]
[1,8,3,6,2,4,5,7] => [2,2,4]
[1,8,3,6,2,5,4,7] => [2,2,2,2]
[1,5,4,8,3,6,2,7] => [2,2,2,2]
[1,4,5,8,3,6,2,7] => [4,2,2]
[1,3,6,8,4,5,2,7] => [4,2,2]
[1,2,7,8,4,5,3,6] => [4,2,2]
[7,2,8,4,3,6,5,1] => [1,2,1,2,1,1]
[7,2,8,5,6,3,4,1] => [1,2,2,2,1]
[7,6,3,8,5,4,2,1] => [1,1,2,1,1,1,1]
[6,2,8,7,5,4,1,3] => [1,2,1,1,1,2]
[6,2,8,4,3,7,1,5] => [1,2,1,2,2]
[5,2,8,4,3,1,7,6] => [1,2,1,1,2,1]
[1,4,7,3,2,6,8,5] => [3,1,3,1]
[1,5,7,3,6,2,8,4] => [3,2,2,1]
[3,6,2,7,1,5,4,8] => [2,2,2,2]
[1,2,5,4,8,3,7,6] => [3,2,2,1]
[1,4,3,6,8,7,2,5] => [2,3,1,2]
[1,5,3,7,6,8,2,4] => [2,2,2,2]
[4,2,6,5,7,8,1,3] => [1,2,3,2]
[3,2,5,7,6,8,1,4] => [1,3,2,2]
[6,3,2,7,4,8,5,1] => [1,1,2,2,1,1]
[5,3,2,6,8,4,7,1] => [1,1,3,2,1]
[4,1,8,7,5,2,6,3] => [1,2,1,1,2,1]
[3,1,8,6,4,7,2,5] => [1,2,1,2,2]
[3,1,6,8,5,4,2,7] => [1,3,1,1,2]
[5,3,2,8,7,6,4,1] => [1,1,2,1,1,1,1]
[2,4,8,1,7,6,3,5] => [3,2,1,2]
[3,8,1,7,6,5,2,4] => [2,2,1,1,2]
[4,8,1,5,3,6,2,7] => [2,2,2,2]
[5,8,1,6,4,2,7,3] => [2,2,1,2,1]
[5,4,2,6,7,3,1,8] => [1,1,3,1,2]
[5,4,2,7,6,3,1,8] => [1,1,2,1,1,2]
[5,3,8,2,7,6,1,4] => [1,2,2,1,2]
[6,5,4,8,3,7,2,1] => [1,1,2,2,1,1]
[6,3,5,7,2,4,1,8] => [1,3,2,2]
[4,8,5,1,3,7,2,6] => [2,1,3,2]
[4,3,8,7,2,6,5,1] => [1,2,1,2,1,1]
[4,3,6,8,2,5,7,1] => [1,3,3,1]
[2,6,5,8,1,4,7,3] => [2,2,3,1]
[2,7,5,1,8,4,6,3] => [2,1,2,2,1]
[8,4,6,2,1,7,5,3] => [1,2,1,2,1,1]
[7,8,5,2,1,6,4,3] => [2,1,1,2,1,1]
[6,7,3,2,8,1,5,4] => [2,1,2,2,1]
[7,6,4,8,1,2,5,3] => [1,1,2,3,1]
[7,5,4,8,3,2,6,1] => [1,1,2,1,2,1]
[7,8,4,3,1,6,2,5] => [2,1,1,2,2]
[8,7,5,3,6,2,1,4] => [1,1,1,2,1,2]
[8,6,4,7,3,2,1,5] => [1,1,2,1,1,2]
[3,8,5,6,2,7,1,4] => [2,2,2,2]
[2,4,5,8,7,3,1,6] => [4,1,1,2]
[2,4,5,8,6,7,1,3] => [4,2,2]
[4,3,1,5,6,2,8,7] => [1,1,3,2,1]
[4,1,5,8,6,7,2,3] => [1,3,2,2]
[4,3,7,6,1,2,8,5] => [1,2,1,3,1]
[4,7,5,6,1,2,8,3] => [2,2,3,1]
[4,3,7,5,6,2,8,1] => [1,2,2,2,1]
[4,5,1,8,6,7,3,2] => [2,2,2,1,1]
[3,4,5,8,6,7,2,1] => [4,2,1,1]
[2,1,5,8,6,7,4,3] => [1,3,2,1,1]
[3,4,5,8,7,1,2,6] => [4,1,3]
[4,7,1,5,6,2,8,3] => [2,3,2,1]
[2,6,4,7,1,3,8,5] => [2,2,3,1]
[5,3,8,6,4,7,2,1] => [1,2,1,2,1,1]
[6,4,1,5,7,8,3,2] => [1,1,4,1,1]
[3,6,4,7,2,1,8,5] => [2,2,1,2,1]
[3,8,4,6,1,7,2,5] => [2,2,2,2]
[3,8,5,6,4,7,2,1] => [2,2,2,1,1]
[3,8,4,5,6,7,2,1] => [2,4,1,1]
[3,8,6,5,2,7,4,1] => [2,1,1,2,1,1]
[3,8,7,5,2,1,4,6] => [2,1,1,1,3]
[3,8,6,5,1,7,2,4] => [2,1,1,2,2]
[6,4,1,7,3,2,8,5] => [1,1,2,1,2,1]
[5,1,4,6,7,2,8,3] => [1,4,2,1]
[6,5,4,7,1,3,8,2] => [1,1,2,3,1]
[2,1,6,5,3,7,8,4] => [1,2,1,3,1]
[6,1,4,7,2,3,8,5] => [1,3,3,1]
[1,6,2,5,4,8,3,7] => [2,2,2,2]
[4,1,2,7,5,8,3,6] => [1,3,2,2]
[6,1,3,5,8,2,4,7] => [1,4,3]
[5,6,4,3,1,8,2,7] => [2,1,1,2,2]
[6,2,3,5,8,1,4,7] => [1,4,3]
[6,7,2,3,8,4,5,1] => [2,3,2,1]
[6,7,2,1,3,8,4,5] => [2,1,3,2]
[5,7,4,1,8,3,2,6] => [2,1,2,1,2]
[4,1,7,5,8,3,6,2] => [1,2,2,2,1]
[6,7,1,3,8,4,5,2] => [2,3,2,1]
[1,6,7,4,3,8,5,2] => [3,1,2,1,1]
[6,1,7,4,2,8,5,3] => [1,2,1,2,1,1]
[2,1,6,7,4,3,8,5] => [1,3,1,2,1]
[6,7,3,2,1,8,4,5] => [2,1,1,2,2]
[2,5,7,3,1,4,8,6] => [3,1,3,1]
[6,7,3,2,8,4,5,1] => [2,1,2,2,1]
[1,2,6,7,4,3,8,5] => [4,1,2,1]
[2,7,1,8,4,6,3,5] => [2,2,2,2]
[2,7,5,8,1,6,3,4] => [2,2,2,2]
[6,7,1,8,4,5,3,2] => [2,2,2,1,1]
[8,3,7,6,1,2,5,4] => [1,2,1,3,1]
[8,7,3,4,6,2,5,1] => [1,1,3,2,1]
[8,2,5,7,1,4,6,3] => [1,3,3,1]
[8,2,4,7,1,5,6,3] => [1,3,3,1]
[8,2,3,4,7,1,5,6] => [1,4,3]
[8,7,3,5,6,2,4,1] => [1,1,3,2,1]
[8,7,4,6,5,2,3,1] => [1,1,2,1,2,1]
[8,4,6,7,5,1,2,3] => [1,3,1,3]
[8,4,6,7,5,1,3,2] => [1,3,1,2,1]
[8,3,5,7,6,1,4,2] => [1,3,1,2,1]
[8,7,3,6,2,1,5,4] => [1,1,2,1,2,1]
[8,7,3,4,6,2,1,5] => [1,1,3,1,2]
[8,7,4,6,5,2,1,3] => [1,1,2,1,1,2]
[8,6,5,2,7,4,3,1] => [1,1,1,2,1,1,1]
[8,4,3,7,6,5,1,2] => [1,1,2,1,1,2]
[8,5,6,7,4,1,3,2] => [1,3,1,2,1]
[8,5,7,6,4,1,2,3] => [1,2,1,1,3]
[8,4,2,7,5,1,6,3] => [1,1,2,1,2,1]
[8,3,4,2,7,5,6,1] => [1,2,2,2,1]
[8,4,7,6,5,1,2,3] => [1,2,1,1,3]
[8,3,5,2,7,4,6,1] => [1,2,2,2,1]
[8,5,2,6,7,4,1,3] => [1,1,3,1,2]
[8,5,3,7,6,4,1,2] => [1,1,2,1,1,2]
[8,6,2,5,7,3,1,4] => [1,1,3,1,2]
[8,6,2,4,7,3,1,5] => [1,1,3,1,2]
[8,5,2,3,7,4,1,6] => [1,1,3,1,2]
[8,5,3,2,7,6,4,1] => [1,1,1,2,1,1,1]
[8,5,1,7,3,6,2,4] => [1,1,2,2,2]
[8,6,1,5,4,3,2,7] => [1,1,2,1,1,2]
[2,4,5,8,3,1,6,7] => [4,1,3]
[2,7,4,6,1,5,8,3] => [2,2,3,1]
[2,6,3,7,1,8,5,4] => [2,2,2,1,1]
[2,5,3,4,8,1,6,7] => [2,3,3]
[2,4,3,8,5,1,6,7] => [2,2,1,3]
[2,3,8,4,5,1,6,7] => [3,2,3]
[6,8,2,4,5,3,1,7] => [2,3,1,2]
[8,7,3,1,5,4,6,2] => [1,1,1,2,2,1]
[7,8,3,2,5,4,6,1] => [2,1,2,2,1]
[7,2,8,3,5,4,6,1] => [1,2,2,2,1]
[6,2,5,4,8,3,1,7] => [1,2,2,1,2]
[5,2,6,7,3,8,1,4] => [1,3,2,2]
[5,4,7,6,3,1,8,2] => [1,2,1,1,2,1]
[1,5,6,7,3,8,2,4] => [4,2,2]
[1,6,5,4,8,3,2,7] => [2,1,2,1,2]
[1,6,4,8,5,3,2,7] => [2,2,1,1,2]
[8,2,4,3,1,5,6,7] => [1,2,1,4]
[1,7,3,5,8,4,6,2] => [2,3,2,1]
[6,3,1,7,4,5,8,2] => [1,1,2,3,1]
[7,2,1,6,4,8,5,3] => [1,1,2,2,1,1]
[7,2,3,5,8,4,6,1] => [1,4,2,1]
[4,8,3,1,2,5,6,7] => [2,1,5]
[4,8,1,3,2,5,6,7] => [2,2,4]
[6,5,4,8,2,3,1,7] => [1,1,2,2,2]
[7,5,8,3,2,4,6,1] => [1,2,1,3,1]
[8,7,5,1,3,4,6,2] => [1,1,1,4,1]
[8,7,2,1,4,6,5,3] => [1,1,1,3,1,1]
[7,1,8,3,4,6,5,2] => [1,2,3,1,1]
[4,1,5,3,8,6,2,7] => [1,2,2,1,2]
[3,8,7,2,4,6,5,1] => [2,1,3,1,1]
[4,6,5,1,8,3,2,7] => [2,1,2,1,2]
[6,5,7,1,3,2,8,4] => [1,2,2,2,1]
[2,7,3,6,4,8,5,1] => [2,2,2,1,1]
[3,7,1,5,8,4,6,2] => [2,3,2,1]
[3,8,4,1,2,5,6,7] => [2,1,5]
[3,8,1,4,2,5,6,7] => [2,2,4]
[2,1,8,4,3,5,6,7] => [1,2,1,4]
[3,2,7,6,4,8,5,1] => [1,2,1,2,1,1]
[3,1,6,7,4,5,8,2] => [1,3,3,1]
[1,3,7,6,4,8,5,2] => [3,1,2,1,1]
[1,2,7,5,8,4,6,3] => [3,2,2,1]
[3,1,8,7,6,4,2,5] => [1,2,1,1,1,2]
[3,1,8,7,5,4,2,6] => [1,2,1,1,1,2]
[3,1,7,6,5,4,2,8] => [1,2,1,1,1,2]
[4,7,1,6,5,3,2,8] => [2,2,1,1,2]
[4,8,1,6,5,3,2,7] => [2,2,1,1,2]
[8,4,1,7,6,3,2,5] => [1,1,2,1,1,2]
[5,4,1,8,6,3,2,7] => [1,1,2,1,1,2]
[5,4,1,7,6,3,2,8] => [1,1,2,1,1,2]
[6,4,1,8,5,3,2,7] => [1,1,2,1,1,2]
[8,4,1,7,5,3,2,6] => [1,1,2,1,1,2]
[7,4,1,6,5,3,2,8] => [1,1,2,1,1,2]
[7,5,6,1,4,3,2,8] => [1,2,2,1,2]
[8,5,6,1,4,3,2,7] => [1,2,2,1,2]
[8,5,7,1,4,3,2,6] => [1,2,2,1,2]
[5,7,6,1,4,3,2,8] => [2,1,2,1,2]
[5,8,6,1,4,3,2,7] => [2,1,2,1,2]
[6,7,5,1,4,3,2,8] => [2,1,2,1,2]
[8,7,5,1,4,3,2,6] => [1,1,1,2,1,2]
[8,6,5,1,4,3,2,7] => [1,1,1,2,1,2]
[3,1,5,2,7,6,4,8] => [1,2,2,1,2]
[3,1,6,7,8,5,4,2] => [1,4,1,1,1]
[8,6,1,7,2,5,3,4] => [1,1,2,2,2]
[1,8,6,3,4,2,5,7] => [2,1,2,3]
[3,1,6,4,5,8,7,2] => [1,2,3,1,1]
[3,1,6,4,5,2,7,8] => [1,2,2,3]
[3,1,6,7,8,5,2,4] => [1,4,1,2]
[3,1,6,4,5,8,2,7] => [1,2,3,2]
[3,1,6,4,5,7,2,8] => [1,2,3,2]
[3,1,6,4,5,7,8,2] => [1,2,4,1]
[8,1,6,3,4,7,5,2] => [1,2,3,1,1]
[1,8,6,3,4,2,7,5] => [2,1,2,2,1]
[4,6,7,3,2,1,8,5] => [3,1,1,2,1]
[4,6,8,7,2,5,1,3] => [3,1,2,2]
[4,6,8,3,5,2,1,7] => [3,2,1,2]
[5,6,3,7,4,2,8,1] => [2,2,1,2,1]
[6,2,3,7,5,1,8,4] => [1,3,1,2,1]
[6,2,3,1,7,5,8,4] => [1,2,2,2,1]
[7,6,3,1,4,8,5,2] => [1,1,1,3,1,1]
[6,1,7,3,5,2,8,4] => [1,2,2,2,1]
[7,1,6,3,4,5,2,8] => [1,2,3,2]
[7,1,6,3,4,5,8,2] => [1,2,4,1]
[8,6,3,1,4,5,2,7] => [1,1,1,3,2]
[7,6,3,8,4,5,2,1] => [1,1,2,2,1,1]
[6,2,7,8,5,4,3,1] => [1,3,1,1,1,1]
[6,8,1,7,4,5,3,2] => [2,2,2,1,1]
[5,2,1,4,7,6,8,3] => [1,1,3,2,1]
[5,2,1,4,7,3,8,6] => [1,1,3,2,1]
[4,2,5,1,7,6,3,8] => [1,2,2,1,2]
[8,2,7,6,1,4,3,5] => [1,2,1,2,2]
[5,2,7,8,1,4,3,6] => [1,3,2,2]
[5,2,7,6,8,4,3,1] => [1,2,2,1,1,1]
[5,6,3,8,4,1,2,7] => [2,2,1,3]
[4,6,7,3,5,1,8,2] => [3,2,2,1]
[4,6,7,3,5,1,2,8] => [3,2,3]
[4,7,6,3,1,2,8,5] => [2,1,1,3,1]
[7,2,3,6,1,5,8,4] => [1,3,3,1]
[8,2,7,6,1,4,5,3] => [1,2,1,3,1]
[5,2,3,4,7,1,6,8] => [1,4,3]
[5,2,3,4,8,1,7,6] => [1,4,2,1]
[5,2,3,7,1,6,8,4] => [1,3,3,1]
[5,2,3,4,7,8,1,6] => [1,5,2]
[8,7,5,3,1,6,4,2] => [1,1,1,1,2,1,1]
[3,7,4,2,5,1,6,8] => [2,1,2,3]
[1,4,7,8,5,2,3,6] => [4,1,3]
[3,2,6,7,4,1,5,8] => [1,3,1,3]
[6,7,3,5,1,8,4,2] => [2,2,2,1,1]
[7,6,3,5,2,1,4,8] => [1,1,2,1,3]
[4,6,3,2,5,8,1,7] => [2,1,3,2]
[2,6,8,7,4,1,3,5] => [3,1,1,3]
[5,8,3,7,6,4,1,2] => [2,2,1,1,2]
[6,5,1,7,2,4,8,3] => [1,1,2,3,1]
[3,6,7,1,4,2,5,8] => [3,2,3]
[4,7,5,8,2,1,3,6] => [2,2,1,3]
[6,1,5,2,7,4,3,8] => [1,2,2,1,2]
[8,1,2,7,5,4,3,6] => [1,3,1,1,2]
[6,5,1,8,3,7,2,4] => [1,1,2,2,2]
[8,1,5,3,2,6,4,7] => [1,2,1,2,2]
[1,8,3,6,5,4,2,7] => [2,2,1,1,2]
[7,6,1,5,4,3,2,8] => [1,1,2,1,1,2]
[4,6,5,2,8,1,3,7] => [2,1,2,3]
[5,3,1,7,4,6,2,8] => [1,1,2,2,2]
[1,8,7,5,3,2,6,4] => [2,1,1,1,2,1]
[5,1,7,6,3,2,8,4] => [1,2,1,1,2,1]
[4,7,6,2,5,1,3,8] => [2,1,2,3]
[4,7,3,1,5,6,8,2] => [2,1,4,1]
[7,8,1,5,4,2,3,6] => [2,2,1,3]
[2,1,8,4,5,6,3,7] => [1,2,3,2]
[2,7,5,1,4,6,3,8] => [2,1,3,2]
[7,2,1,4,5,3,8,6] => [1,1,3,2,1]
[3,4,6,8,1,5,7,2] => [4,3,1]
[4,2,5,6,1,3,7,8] => [1,3,4]
[5,7,6,1,4,3,8,2] => [2,1,2,2,1]
[6,8,1,7,5,4,2,3] => [2,2,1,1,2]
[7,6,3,1,2,8,5,4] => [1,1,1,3,1,1]
[5,6,7,1,4,2,8,3] => [3,2,2,1]
[6,3,5,7,1,4,2,8] => [1,3,2,2]
[5,2,6,7,4,8,1,3] => [1,3,2,2]
[6,7,5,2,4,1,3,8] => [2,1,2,3]
[5,7,6,1,3,4,8,2] => [2,1,4,1]
[7,5,6,4,8,1,3,2] => [1,2,2,2,1]
[1,7,5,2,6,4,8,3] => [2,1,2,2,1]
[7,1,3,6,8,2,4,5] => [1,4,3]
[1,2,5,7,8,4,6,3] => [5,2,1]
[3,1,2,7,5,4,8,6] => [1,3,1,2,1]
[6,7,4,1,3,2,8,5] => [2,1,2,2,1]
[1,7,2,8,4,3,5,6] => [2,2,1,3]
[1,6,3,5,7,8,2,4] => [2,4,2]
[8,6,1,7,5,2,4,3] => [1,1,2,1,2,1]
[7,6,4,1,8,3,2,5] => [1,1,1,2,1,2]
[8,4,1,6,5,2,7,3] => [1,1,2,1,2,1]
[1,5,3,4,7,8,2,6] => [2,4,2]
[4,2,1,5,7,8,3,6] => [1,1,4,2]
[5,4,1,6,7,8,2,3] => [1,1,4,2]
[5,1,4,6,7,8,2,3] => [1,5,2]
[4,1,5,3,7,8,2,6] => [1,2,3,2]
[8,1,4,6,5,2,7,3] => [1,3,1,2,1]
[7,1,5,4,6,3,2,8] => [1,2,2,1,2]
[8,2,1,6,7,5,4,3] => [1,1,3,1,1,1]
[1,2,4,7,6,3,8,5] => [4,1,2,1]
[6,7,4,1,8,5,2,3] => [2,1,2,1,2]
[8,6,4,1,5,7,3,2] => [1,1,1,3,1,1]
[5,2,4,3,7,1,6,8] => [1,2,2,3]
[6,1,5,4,8,3,2,7] => [1,2,2,1,2]
[1,2,8,7,4,3,6,5] => [3,1,1,2,1]
[3,2,1,7,5,8,4,6] => [1,1,2,2,2]
[1,3,6,4,7,8,2,5] => [3,3,2]
[4,5,1,3,7,8,2,6] => [2,4,2]
[5,2,3,1,7,8,4,6] => [1,2,3,2]
[1,6,4,3,7,8,2,5] => [2,1,3,2]
[7,6,4,3,1,5,2,8] => [1,1,1,1,2,2]
[7,5,4,6,1,3,2,8] => [1,1,2,2,2]
[8,4,6,5,1,2,7,3] => [1,2,1,3,1]
[1,5,6,3,7,8,2,4] => [3,3,2]
[6,8,3,5,7,2,4,1] => [2,3,2,1]
[1,5,2,4,3,8,7,6] => [2,2,2,1,1]
[8,6,5,7,2,1,4,3] => [1,1,2,1,2,1]
[8,5,6,1,4,7,3,2] => [1,2,3,1,1]
[1,6,3,8,4,5,7,2] => [2,2,3,1]
[7,5,4,2,6,3,8,1] => [1,1,1,2,2,1]
[7,1,4,3,2,8,6,5] => [1,2,1,2,1,1]
[2,3,8,4,7,5,6,1] => [3,2,2,1]
[3,7,2,8,6,4,5,1] => [2,2,1,2,1]
[3,7,2,4,8,5,6,1] => [2,3,2,1]
[3,7,4,6,2,5,8,1] => [2,2,3,1]
[6,2,7,3,1,8,4,5] => [1,2,1,2,2]
[6,3,7,5,8,2,4,1] => [1,2,2,2,1]
[4,3,7,8,6,2,5,1] => [1,3,1,2,1]
[3,8,1,7,5,2,4,6] => [2,2,1,3]
[8,2,3,4,7,5,6,1] => [1,4,2,1]
[2,4,7,8,6,1,5,3] => [4,1,2,1]
[2,6,7,3,8,5,1,4] => [3,2,1,2]
[2,4,8,5,1,7,3,6] => [3,1,2,2]
[2,8,3,5,1,6,4,7] => [2,2,2,2]
[8,2,4,6,3,7,5,1] => [1,3,2,1,1]
[8,2,4,6,3,5,7,1] => [1,3,3,1]
[2,8,3,5,1,4,6,7] => [2,2,4]
[3,4,6,2,5,7,8,1] => [3,4,1]
[4,5,2,6,1,7,8,3] => [2,2,3,1]
[3,6,5,7,8,1,2,4] => [2,3,3]
[4,5,3,8,2,1,7,6] => [2,2,1,2,1]
[4,8,3,2,5,1,6,7] => [2,1,2,3]
[2,5,4,8,3,7,1,6] => [2,2,2,2]
[5,8,3,1,7,4,2,6] => [2,1,2,1,2]
[5,4,8,6,1,3,2,7] => [1,2,1,2,2]
[4,7,5,2,6,8,3,1] => [2,1,3,1,1]
[5,7,4,2,8,6,3,1] => [2,1,2,1,1,1]
[4,6,2,3,8,5,7,1] => [2,3,2,1]
[3,7,2,4,5,6,8,1] => [2,5,1]
[6,2,7,1,4,5,8,3] => [1,2,4,1]
[5,2,7,1,3,8,6,4] => [1,2,3,1,1]
[4,3,7,8,2,5,6,1] => [1,3,3,1]
[6,3,8,5,1,2,4,7] => [1,2,1,4]
[8,5,3,4,7,2,6,1] => [1,1,3,2,1]
[5,2,4,7,1,6,8,3] => [1,3,3,1]
[4,3,5,8,2,7,1,6] => [1,3,2,2]
[4,3,8,2,5,6,1,7] => [1,2,3,2]
[3,8,1,2,4,7,5,6] => [2,4,2]
[1,4,6,2,7,5,3,8] => [3,2,1,2]
[8,2,7,5,1,4,6,3] => [1,2,1,3,1]
[1,7,4,6,8,3,5,2] => [2,3,2,1]
[8,2,1,4,5,6,7,3] => [1,1,5,1]
[7,3,1,2,5,6,4,8] => [1,1,4,2]
[7,2,4,1,5,8,6,3] => [1,2,3,1,1]
[7,8,2,1,5,4,6,3] => [2,1,2,2,1]
[1,4,2,8,6,5,3,7] => [2,2,1,1,2]
[1,4,8,5,2,6,3,7] => [3,1,2,2]
[1,5,2,4,6,3,8,7] => [2,3,2,1]
[1,8,5,3,2,6,4,7] => [2,1,1,2,2]
[6,4,1,3,2,5,8,7] => [1,1,2,3,1]
[5,2,3,7,8,1,6,4] => [1,4,2,1]
[5,2,8,6,3,1,7,4] => [1,2,1,1,2,1]
[6,2,3,5,1,8,7,4] => [1,3,2,1,1]
[7,6,3,4,2,8,1,5] => [1,1,2,2,2]
[6,2,4,5,7,8,1,3] => [1,5,2]
[8,6,3,2,5,7,1,4] => [1,1,1,3,2]
[6,2,5,3,7,1,8,4] => [1,2,2,2,1]
[8,5,3,6,7,2,1,4] => [1,1,3,1,2]
[4,5,7,8,6,2,1,3] => [4,1,1,2]
[1,2,8,4,3,6,7,5] => [3,1,3,1]
[1,8,3,2,4,6,7,5] => [2,1,4,1]
[1,2,7,5,3,4,6,8] => [3,1,4]
[1,2,7,4,5,3,8,6] => [3,2,2,1]
[1,7,3,2,6,8,4,5] => [2,1,3,2]
[8,2,7,1,4,3,5,6] => [1,2,2,3]
[7,2,1,3,6,8,4,5] => [1,1,4,2]
[6,2,1,7,8,3,4,5] => [1,1,3,3]
[4,6,5,2,7,1,8,3] => [2,1,2,2,1]
[6,7,2,5,3,1,8,4] => [2,2,1,2,1]
[3,7,2,5,4,1,8,6] => [2,2,1,2,1]
[7,4,2,6,3,1,8,5] => [1,1,2,1,2,1]
[2,6,4,7,5,1,8,3] => [2,2,1,2,1]
[3,4,7,6,5,1,8,2] => [3,1,1,2,1]
[3,4,7,6,2,8,5,1] => [3,1,2,1,1]
[4,7,8,2,6,5,3,1] => [3,2,1,1,1]
[4,7,8,1,6,5,3,2] => [3,2,1,1,1]
[3,6,7,1,5,4,2,8] => [3,2,1,2]
[3,5,8,6,1,4,2,7] => [3,1,2,2]
[1,6,4,7,2,8,5,3] => [2,2,2,1,1]
[1,3,7,5,2,8,4,6] => [3,1,2,2]
[1,4,7,6,3,8,5,2] => [3,1,2,1,1]
[1,7,8,2,6,5,4,3] => [3,2,1,1,1]
[1,3,6,2,7,5,4,8] => [3,2,1,2]
[1,8,2,6,5,4,3,7] => [2,2,1,1,2]
[1,3,8,2,7,5,4,6] => [3,2,1,2]
[1,8,4,2,7,6,3,5] => [2,1,2,1,2]
[2,6,1,7,5,4,3,8] => [2,2,1,1,2]
[2,7,1,6,5,4,3,8] => [2,2,1,1,2]
[8,7,2,6,5,4,3,1] => [1,1,2,1,1,1,1]
[8,2,1,6,5,4,3,7] => [1,1,2,1,1,2]
[7,4,2,8,1,6,3,5] => [1,1,2,2,2]
[5,2,8,6,1,4,3,7] => [1,2,1,2,2]
[8,3,7,1,5,4,2,6] => [1,2,2,1,2]
[7,3,8,1,6,5,4,2] => [1,2,2,1,1,1]
[7,3,8,2,6,5,4,1] => [1,2,2,1,1,1]
[4,6,5,3,1,7,2,8] => [2,1,1,2,2]
[5,3,6,1,2,8,7,4] => [1,2,3,1,1]
[3,5,4,1,2,8,7,6] => [2,1,3,1,1]
[4,6,5,1,2,8,7,3] => [2,1,3,1,1]
[6,8,1,2,7,5,3,4] => [2,3,1,2]
[4,6,2,3,8,7,5,1] => [2,3,1,1,1]
[3,2,7,4,8,6,5,1] => [1,2,2,1,1,1]
[8,1,6,2,7,5,4,3] => [1,2,2,1,1,1]
[5,2,1,7,3,8,6,4] => [1,1,2,2,1,1]
[6,1,2,8,5,4,3,7] => [1,3,1,1,2]
[7,1,3,8,6,5,4,2] => [1,3,1,1,1,1]
[7,2,3,8,6,5,4,1] => [1,3,1,1,1,1]
[8,1,3,7,6,5,4,2] => [1,3,1,1,1,1]
[1,3,7,4,8,6,5,2] => [3,2,1,1,1]
[2,4,1,8,7,3,6,5] => [2,2,1,2,1]
[2,8,5,1,7,3,6,4] => [2,1,2,2,1]
[3,5,1,7,2,6,4,8] => [2,2,2,2]
[2,8,1,5,4,3,7,6] => [2,2,1,2,1]
[2,8,6,1,5,4,3,7] => [2,1,2,1,2]
[2,6,1,5,8,4,3,7] => [2,3,1,2]
[2,8,1,5,4,3,6,7] => [2,2,1,3]
[7,4,6,1,5,3,2,8] => [1,2,2,1,2]
[8,4,6,1,5,3,2,7] => [1,2,2,1,2]
[7,3,8,6,1,5,4,2] => [1,2,1,2,1,1]
[3,5,1,6,8,4,2,7] => [2,3,1,2]
[3,5,1,7,8,2,6,4] => [2,3,2,1]
[3,7,8,6,1,5,4,2] => [3,1,2,1,1]
[7,8,4,6,1,5,3,2] => [2,2,2,1,1]
[4,6,1,5,3,2,7,8] => [2,2,1,3]
[5,4,7,8,2,1,6,3] => [1,3,1,2,1]
[5,4,6,8,3,2,1,7] => [1,3,1,1,2]
[6,4,5,8,3,2,1,7] => [1,3,1,1,2]
[7,4,5,8,2,1,6,3] => [1,3,1,2,1]
[7,4,6,8,1,5,3,2] => [1,3,2,1,1]
[5,3,6,1,8,4,2,7] => [1,2,2,1,2]
[6,3,8,7,1,5,4,2] => [1,2,1,2,1,1]
[8,6,4,7,1,5,3,2] => [1,1,2,2,1,1]
[6,4,7,1,5,3,2,8] => [1,2,2,1,2]
[5,4,7,2,1,6,3,8] => [1,2,1,2,2]
[8,4,5,7,2,1,6,3] => [1,3,1,2,1]
[8,5,4,7,2,1,6,3] => [1,1,2,1,2,1]
[3,4,6,2,1,8,5,7] => [3,1,2,2]
[4,5,7,2,1,6,3,8] => [3,1,2,2]
[4,6,7,1,5,3,2,8] => [3,2,1,2]
[5,6,4,8,3,2,1,7] => [2,2,1,1,2]
[5,7,4,8,2,1,6,3] => [2,2,1,2,1]
[4,7,6,8,1,5,3,2] => [2,2,2,1,1]
[4,7,5,8,2,1,6,3] => [2,2,1,2,1]
[3,6,1,7,2,8,5,4] => [2,2,2,1,1]
[5,7,4,2,6,3,8,1] => [2,1,2,2,1]
[5,7,4,1,6,2,8,3] => [2,1,2,2,1]
[7,8,3,1,5,2,6,4] => [2,1,2,2,1]
[8,3,4,1,7,5,2,6] => [1,2,2,1,2]
[6,8,7,3,1,4,2,5] => [2,1,1,2,2]
[8,5,6,1,7,3,2,4] => [1,2,2,1,2]
[4,5,1,6,7,8,3,2] => [2,4,1,1]
[5,8,2,6,7,4,1,3] => [2,3,1,2]
[5,6,8,2,1,7,3,4] => [3,1,2,2]
[6,4,8,7,2,1,3,5] => [1,2,1,1,3]
[4,5,2,6,1,3,8,7] => [2,2,3,1]
[5,1,6,8,2,7,3,4] => [1,3,2,2]
[5,2,6,3,4,7,8,1] => [1,2,4,1]
[4,6,2,3,5,7,8,1] => [2,5,1]
[8,3,6,5,7,1,2,4] => [1,2,2,3]
[8,2,3,7,1,5,4,6] => [1,3,2,2]
[2,8,6,7,3,1,4,5] => [2,2,1,3]
[8,4,6,7,2,5,1,3] => [1,3,2,2]
[3,4,6,7,2,5,8,1] => [4,3,1]
[7,1,4,6,8,3,5,2] => [1,4,2,1]
[7,8,2,6,1,4,5,3] => [2,2,3,1]
[7,5,8,2,1,3,6,4] => [1,2,1,3,1]
[3,7,1,5,6,8,4,2] => [2,4,1,1]
[6,7,1,2,4,8,5,3] => [2,4,1,1]
[1,6,3,4,7,8,5,2] => [2,4,1,1]
[2,3,6,4,7,5,8,1] => [3,2,2,1]
[2,5,3,7,4,6,8,1] => [2,2,3,1]
[7,4,8,1,3,5,6,2] => [1,2,4,1]
[4,2,7,3,5,6,8,1] => [1,2,4,1]
[7,8,1,3,4,5,6,2] => [2,5,1]
[8,7,2,4,5,6,1,3] => [1,1,4,2]
[1,8,2,6,7,3,4,5] => [2,3,3]
[4,7,3,2,8,1,5,6] => [2,1,2,3]
[5,1,4,6,2,3,8,7] => [1,3,3,1]
[6,1,4,5,2,3,8,7] => [1,3,3,1]
[7,1,2,5,6,8,3,4] => [1,5,2]
[7,1,2,6,3,8,5,4] => [1,3,2,1,1]
[7,8,4,1,2,6,3,5] => [2,1,3,2]
[8,1,2,6,3,7,5,4] => [1,3,2,1,1]
[8,1,2,7,6,3,5,4] => [1,3,1,2,1]
[4,8,6,3,1,2,7,5] => [2,1,1,3,1]
[4,8,7,3,1,6,2,5] => [2,1,1,2,2]
[4,7,8,3,1,6,2,5] => [3,1,2,2]
[7,4,3,1,6,2,8,5] => [1,1,1,2,2,1]
[8,4,3,1,6,2,7,5] => [1,1,1,2,2,1]
[7,4,3,1,8,6,2,5] => [1,1,1,2,1,2]
[3,7,6,2,4,8,1,5] => [2,1,3,2]
[8,3,5,7,4,2,1,6] => [1,3,1,1,2]
[4,3,7,2,8,6,1,5] => [1,2,2,1,2]
[7,1,2,8,6,3,5,4] => [1,3,1,2,1]
[6,1,2,7,4,3,8,5] => [1,3,1,2,1]
[5,1,2,6,3,8,7,4] => [1,3,2,1,1]
[5,1,2,7,3,8,6,4] => [1,3,2,1,1]
[6,1,2,7,3,5,8,4] => [1,3,3,1]
[8,3,6,2,1,7,4,5] => [1,2,1,2,2]
[7,3,6,2,1,8,4,5] => [1,2,1,2,2]
[6,1,2,8,3,5,7,4] => [1,3,3,1]
[7,5,3,2,1,8,6,4] => [1,1,1,1,2,1,1]
[4,2,1,5,3,6,7,8] => [1,1,2,4]
[6,2,5,4,1,8,7,3] => [1,2,1,2,1,1]
[4,6,3,2,1,8,7,5] => [2,1,1,2,1,1]
[6,5,3,2,1,8,7,4] => [1,1,1,1,2,1,1]
[8,4,3,2,7,6,1,5] => [1,1,1,2,1,2]
[1,5,8,4,7,6,3,2] => [3,2,1,1,1]
[3,2,7,4,8,6,1,5] => [1,2,2,1,2]
[7,4,3,2,8,6,1,5] => [1,1,1,2,1,2]
[6,8,3,7,5,2,1,4] => [2,2,1,1,2]
[5,7,8,4,3,2,1,6] => [3,1,1,1,2]
[6,4,3,8,5,2,1,7] => [1,1,2,1,1,2]
[8,2,5,4,7,6,1,3] => [1,2,2,1,2]
[7,2,5,4,8,6,1,3] => [1,2,2,1,2]
[4,5,3,2,8,6,1,7] => [2,1,2,1,2]
[3,2,5,4,8,6,1,7] => [1,2,2,1,2]
[3,2,8,6,5,4,1,7] => [1,2,1,1,1,2]
[8,4,3,6,5,2,1,7] => [1,1,2,1,1,2]
[8,4,3,7,5,2,1,6] => [1,1,2,1,1,2]
[3,2,7,8,5,4,1,6] => [1,3,1,1,2]
[6,8,7,4,3,2,1,5] => [2,1,1,1,1,2]
[2,3,1,8,5,7,4,6] => [2,2,2,2]
[3,6,1,4,8,7,2,5] => [2,3,1,2]
[5,8,1,3,7,2,6,4] => [2,3,2,1]
[4,7,5,1,8,2,6,3] => [2,1,2,2,1]
[6,3,2,1,8,7,4,5] => [1,1,1,2,1,2]
[6,2,3,1,8,7,4,5] => [1,2,2,1,2]
[3,4,7,1,8,5,6,2] => [3,2,2,1]
[3,4,8,1,7,5,6,2] => [3,2,2,1]
[7,2,5,1,8,3,6,4] => [1,2,2,2,1]
[7,2,1,5,8,4,6,3] => [1,1,3,2,1]
[7,1,4,6,8,2,5,3] => [1,4,2,1]
[8,2,5,1,7,3,6,4] => [1,2,2,2,1]
[4,2,8,1,7,5,6,3] => [1,2,2,2,1]
[8,4,6,1,2,7,5,3] => [1,2,3,1,1]
[8,6,1,5,3,7,4,2] => [1,1,2,2,1,1]
[8,3,6,4,1,7,5,2] => [1,2,1,2,1,1]
[5,3,8,6,1,7,4,2] => [1,2,1,2,1,1]
[7,3,1,5,2,8,6,4] => [1,1,2,2,1,1]
[7,1,6,4,2,8,5,3] => [1,2,1,2,1,1]
[3,7,4,1,5,8,6,2] => [2,1,3,1,1]
[5,8,6,1,2,7,4,3] => [2,1,3,1,1]
[6,8,1,4,3,7,5,2] => [2,2,2,1,1]
[6,7,1,4,3,8,5,2] => [2,2,2,1,1]
[4,7,1,5,3,8,6,2] => [2,2,2,1,1]
[6,8,1,2,4,7,5,3] => [2,4,1,1]
[7,1,6,4,8,3,5,2] => [1,2,2,2,1]
[7,1,6,3,4,8,5,2] => [1,2,3,1,1]
[8,6,4,1,3,7,5,2] => [1,1,1,3,1,1]
[8,5,3,6,1,7,4,2] => [1,1,2,2,1,1]
[8,6,2,1,4,7,5,3] => [1,1,1,3,1,1]
[7,2,1,4,5,8,6,3] => [1,1,4,1,1]
[7,1,5,3,6,8,4,2] => [1,2,3,1,1]
[8,5,6,1,2,7,4,3] => [1,2,3,1,1]
[8,4,5,6,1,7,3,2] => [1,3,2,1,1]
[8,6,2,5,4,7,3,1] => [1,1,2,2,1,1]
[8,2,6,3,5,4,7,1] => [1,2,2,2,1]
[8,7,2,3,4,6,5,1] => [1,1,4,1,1]
[8,5,7,3,2,4,6,1] => [1,2,1,3,1]
[3,6,1,4,5,8,7,2] => [2,4,1,1]
[4,6,1,3,8,7,2,5] => [2,3,1,2]
[5,6,8,2,1,7,4,3] => [3,1,2,1,1]
[7,1,3,8,4,2,5,6] => [1,3,1,3]
[8,5,2,1,4,3,6,7] => [1,1,1,2,3]
[2,8,3,5,7,4,1,6] => [2,3,1,2]
[2,8,4,1,3,6,7,5] => [2,1,4,1]
[2,7,4,5,8,6,1,3] => [2,3,1,2]
[1,4,7,2,8,6,5,3] => [3,2,1,1,1]
[6,4,8,5,1,3,2,7] => [1,2,1,2,2]
[1,6,7,8,5,2,4,3] => [4,1,2,1]
[6,2,4,7,5,1,8,3] => [1,3,1,2,1]
[8,1,2,5,4,7,6,3] => [1,3,2,1,1]
[8,1,2,4,5,6,7,3] => [1,6,1]
[8,2,7,3,5,6,1,4] => [1,2,3,2]
[7,1,3,4,2,8,6,5] => [1,3,2,1,1]
[6,1,4,3,2,7,8,5] => [1,2,1,3,1]
[6,1,5,2,3,8,7,4] => [1,2,3,1,1]
[8,7,5,3,1,6,2,4] => [1,1,1,1,2,2]
[8,5,6,3,2,1,7,4] => [1,2,1,1,2,1]
[1,8,3,6,7,2,4,5] => [2,3,3]
[3,1,8,6,4,2,5,7] => [1,2,1,1,3]
[1,2,8,3,7,4,6,5] => [3,2,2,1]
[8,1,3,7,4,5,2,6] => [1,3,2,2]
[8,2,1,3,7,5,4,6] => [1,1,3,1,2]
[8,2,7,4,3,5,6,1] => [1,2,1,3,1]
[8,2,6,5,4,3,1,7] => [1,2,1,1,1,2]
[8,2,7,6,4,5,3,1] => [1,2,1,2,1,1]
[8,6,3,5,4,2,1,7] => [1,1,2,1,1,2]
[8,7,3,5,4,2,6,1] => [1,1,2,1,2,1]
[4,6,7,2,1,8,3,5] => [3,1,2,2]
[4,5,8,1,3,6,7,2] => [3,4,1]
[3,7,1,8,2,5,4,6] => [2,2,2,2]
[4,5,8,6,1,3,7,2] => [3,1,3,1]
[4,5,8,6,2,7,3,1] => [3,1,2,1,1]
[4,6,7,1,5,3,8,2] => [3,2,2,1]
[4,6,7,2,1,8,5,3] => [3,1,2,1,1]
[4,2,5,6,7,8,3,1] => [1,5,1,1]
[4,1,3,5,6,7,8,2] => [1,6,1]
[3,7,8,4,5,1,6,2] => [3,2,2,1]
[4,6,8,3,2,7,1,5] => [3,1,2,2]
[4,6,8,2,3,7,1,5] => [3,3,2]
[3,8,1,7,4,5,2,6] => [2,2,2,2]
[4,5,8,3,7,1,2,6] => [3,2,3]
[4,6,7,1,5,8,2,3] => [3,3,2]
[3,7,8,4,6,2,5,1] => [3,2,2,1]
[3,6,1,5,7,8,2,4] => [2,4,2]
[3,8,2,5,4,7,1,6] => [2,2,2,2]
[3,8,6,2,5,1,7,4] => [2,1,2,2,1]
[4,5,8,6,2,1,7,3] => [3,1,1,2,1]
[4,5,8,6,1,2,7,3] => [3,1,3,1]
[4,6,8,5,2,7,1,3] => [3,1,2,2]
[3,7,8,5,2,6,1,4] => [3,1,2,2]
[3,7,8,5,4,1,6,2] => [3,1,1,2,1]
[4,6,8,5,3,1,7,2] => [3,1,1,2,1]
[7,8,2,3,5,4,1,6] => [2,3,1,2]
[6,3,2,4,7,8,1,5] => [1,1,4,2]
[2,8,1,5,7,4,6,3] => [2,3,2,1]
[5,1,3,2,6,7,4,8] => [1,2,3,2]
[6,7,2,4,8,3,1,5] => [2,3,1,2]
[6,3,4,5,2,8,1,7] => [1,3,2,2]
[4,5,6,8,3,7,1,2] => [4,2,2]
[4,1,3,5,2,6,7,8] => [1,3,4]
[1,5,7,4,6,3,8,2] => [3,2,2,1]
[4,3,8,5,7,1,2,6] => [1,2,2,3]
[1,6,5,3,7,2,8,4] => [2,1,2,2,1]
[2,5,3,7,8,4,1,6] => [2,3,1,2]
[5,1,3,7,6,4,8,2] => [1,3,1,2,1]
[4,6,5,2,7,8,1,3] => [2,1,3,2]
[4,6,5,1,7,3,2,8] => [2,1,2,1,2]
[1,6,5,2,3,4,8,7] => [2,1,4,1]
[1,6,5,3,4,2,8,7] => [2,1,2,2,1]
[4,6,5,1,7,3,8,2] => [2,1,2,2,1]
[5,7,3,1,2,4,8,6] => [2,1,4,1]
[6,3,2,5,1,7,4,8] => [1,1,2,2,2]
[6,1,2,4,8,5,3,7] => [1,4,1,2]
[6,7,1,4,8,5,2,3] => [2,3,1,2]
[5,8,3,2,1,4,6,7] => [2,1,1,4]
[5,1,3,7,4,8,6,2] => [1,3,2,1,1]
[6,3,1,7,2,5,8,4] => [1,1,2,3,1]
[4,2,3,7,1,5,6,8] => [1,3,4]
[3,4,8,5,1,2,7,6] => [3,1,3,1]
[3,8,1,6,7,2,5,4] => [2,3,2,1]
[4,5,7,6,3,8,1,2] => [3,1,2,2]
[3,7,2,8,5,1,4,6] => [2,2,1,3]
[1,6,5,3,7,8,2,4] => [2,1,3,2]
[3,6,5,2,4,7,1,8] => [2,1,3,2]
[2,6,5,1,4,3,7,8] => [2,1,2,3]
[3,6,5,8,1,7,2,4] => [2,2,2,2]
[1,6,5,3,7,8,4,2] => [2,1,3,1,1]
[2,6,5,8,4,1,7,3] => [2,2,1,2,1]
[2,3,5,1,8,6,4,7] => [3,2,1,2]
[2,5,3,8,4,6,1,7] => [2,2,2,2]
[5,2,7,3,4,6,1,8] => [1,2,3,2]
[1,4,5,2,8,6,3,7] => [3,2,1,2]
[1,3,5,8,6,4,7,2] => [4,1,2,1]
[1,3,5,8,6,7,2,4] => [4,2,2]
[6,1,7,4,8,5,3,2] => [1,2,2,1,1,1]
[5,7,4,1,3,6,8,2] => [2,1,4,1]
[7,4,3,1,6,5,8,2] => [1,1,1,2,2,1]
[8,6,1,7,5,3,2,4] => [1,1,2,1,1,2]
[7,8,1,4,6,5,3,2] => [2,3,1,1,1]
[7,8,6,1,4,5,3,2] => [2,1,3,1,1]
[7,8,6,4,1,3,5,2] => [2,1,1,3,1]
[6,2,7,3,8,5,4,1] => [1,2,2,1,1,1]
[6,7,3,4,8,1,5,2] => [2,3,2,1]
[1,2,7,5,3,4,8,6] => [3,1,3,1]
[7,2,8,3,6,4,5,1] => [1,2,2,2,1]
[6,2,7,8,3,1,4,5] => [1,3,1,3]
[2,7,3,5,1,8,4,6] => [2,2,2,2]
[1,7,8,2,5,3,4,6] => [3,2,3]
[3,7,8,1,2,5,6,4] => [3,4,1]
[1,2,8,7,3,4,6,5] => [3,1,3,1]
[8,7,6,2,4,3,5,1] => [1,1,1,2,2,1]
[8,2,7,4,5,1,6,3] => [1,2,2,2,1]
[3,8,1,5,7,2,6,4] => [2,3,2,1]
[7,5,4,8,6,1,2,3] => [1,1,2,1,3]
[7,1,8,6,4,5,2,3] => [1,2,1,2,2]
[8,7,5,1,4,3,6,2] => [1,1,1,2,2,1]
[1,5,7,8,3,4,2,6] => [4,2,2]
[6,8,4,3,1,7,2,5] => [2,1,1,2,2]
[8,4,1,3,7,5,6,2] => [1,1,3,2,1]
[4,8,1,3,7,5,6,2] => [2,3,2,1]
[5,1,3,4,7,8,6,2] => [1,5,1,1]
[7,5,4,3,1,2,8,6] => [1,1,1,1,3,1]
[6,2,5,4,8,1,7,3] => [1,2,2,2,1]
[1,8,5,7,4,2,3,6] => [2,2,1,3]
[2,1,6,8,5,3,4,7] => [1,3,1,3]
[5,4,1,3,8,6,7,2] => [1,1,3,2,1]
[4,5,1,3,8,6,7,2] => [2,3,2,1]
[1,2,6,8,5,3,4,7] => [4,1,3]
[5,6,8,7,3,1,2,4] => [3,1,1,3]
[6,7,5,3,8,1,2,4] => [2,1,2,3]
[6,2,3,4,7,1,8,5] => [1,4,2,1]
[8,5,7,6,3,1,2,4] => [1,2,1,1,3]
[6,8,5,7,3,1,2,4] => [2,2,1,3]
[5,7,8,6,3,1,2,4] => [3,1,1,3]
[5,1,4,2,6,8,7,3] => [1,2,3,1,1]
[6,3,2,4,7,1,8,5] => [1,1,3,2,1]
[1,5,6,8,4,2,3,7] => [4,1,3]
[5,7,8,3,6,1,2,4] => [3,2,3]
[8,4,1,2,5,7,6,3] => [1,1,4,1,1]
[4,8,1,2,5,7,6,3] => [2,4,1,1]
[1,5,8,6,2,4,3,7] => [3,1,2,2]
[1,5,3,7,2,6,8,4] => [2,2,3,1]
[5,1,8,6,2,4,3,7] => [1,2,1,2,2]
[8,5,6,3,7,1,2,4] => [1,2,2,3]
[5,8,6,3,7,1,2,4] => [2,1,2,3]
[1,5,2,4,8,6,7,3] => [2,3,2,1]
[1,5,4,2,6,8,7,3] => [2,1,3,1,1]
[5,7,6,3,8,1,2,4] => [2,1,2,3]
[5,7,6,8,3,1,2,4] => [2,2,1,3]
[6,8,7,5,3,1,2,4] => [2,1,1,1,3]
[6,5,7,3,8,1,2,4] => [1,2,2,3]
[2,5,6,3,7,1,8,4] => [3,2,2,1]
[1,2,5,3,6,8,7,4] => [3,3,1,1]
[7,1,4,6,2,8,3,5] => [1,3,2,2]
[6,8,7,2,1,5,3,4] => [2,1,1,2,2]
[7,3,6,1,4,8,2,5] => [1,2,3,2]
[7,8,1,6,5,3,4,2] => [2,2,1,2,1]
[8,7,3,2,1,4,6,5] => [1,1,1,1,3,1]
[8,3,5,1,7,4,2,6] => [1,2,2,1,2]
[6,7,5,1,8,4,2,3] => [2,1,2,1,2]
[8,2,6,1,7,5,3,4] => [1,2,2,1,2]
[3,8,4,2,6,1,7,5] => [2,1,2,2,1]
[3,5,6,8,4,2,7,1] => [4,1,2,1]
[2,5,4,1,6,8,7,3] => [2,1,3,1,1]
[5,8,2,6,4,3,7,1] => [2,2,1,2,1]
[2,8,6,3,4,1,7,5] => [2,1,2,2,1]
[4,3,6,2,8,5,7,1] => [1,2,2,2,1]
[4,6,8,2,1,3,7,5] => [3,1,3,1]
[6,8,1,5,3,2,7,4] => [2,2,1,2,1]
[1,7,2,3,5,8,6,4] => [2,4,1,1]
[4,6,2,3,5,1,7,8] => [2,3,3]
[4,2,8,7,5,3,6,1] => [1,2,1,1,2,1]
[2,8,3,7,5,1,6,4] => [2,2,1,2,1]
[4,1,8,6,5,2,7,3] => [1,2,1,1,2,1]
[6,4,8,7,2,1,5,3] => [1,2,1,1,2,1]
[2,8,5,4,1,6,7,3] => [2,1,1,3,1]
[4,5,7,3,2,1,6,8] => [3,1,1,3]
[3,2,8,1,6,7,5,4] => [1,2,3,1,1]
[1,8,2,3,7,5,6,4] => [2,3,2,1]
[7,2,4,6,3,8,1,5] => [1,3,2,2]
[2,8,3,1,4,7,6,5] => [2,1,3,1,1]
[2,8,4,3,6,7,1,5] => [2,1,3,2]
[6,4,7,2,8,3,5,1] => [1,2,2,2,1]
[3,8,1,6,4,7,2,5] => [2,2,2,2]
[7,3,2,5,6,1,8,4] => [1,1,3,2,1]
[1,6,7,8,2,4,3,5] => [4,2,2]
[4,1,2,8,5,3,7,6] => [1,3,1,2,1]
[3,8,4,2,5,1,7,6] => [2,1,2,2,1]
[3,8,4,2,7,5,6,1] => [2,1,2,2,1]
[1,5,6,3,7,4,8,2] => [3,2,2,1]
[2,6,3,1,4,5,7,8] => [2,1,5]
[1,8,5,6,4,3,2,7] => [2,2,1,1,2]
[2,8,3,5,6,4,1,7] => [2,3,1,2]
[4,1,5,7,6,8,2,3] => [1,3,2,2]
[7,6,8,3,2,5,1,4] => [1,2,1,2,2]
[4,6,1,7,5,2,3,8] => [2,2,1,3]
[3,1,7,2,6,5,4,8] => [1,2,2,1,2]
[5,6,4,7,2,1,8,3] => [2,2,1,2,1]
[2,8,7,1,3,6,5,4] => [2,1,3,1,1]
[5,7,2,8,3,1,6,4] => [2,2,1,2,1]
[2,7,8,1,6,4,5,3] => [3,2,2,1]
[7,8,1,3,4,6,5,2] => [2,4,1,1]
[2,7,1,4,5,3,8,6] => [2,3,2,1]
[1,5,2,7,4,3,6,8] => [2,2,1,3]
[5,1,3,8,4,6,2,7] => [1,3,2,2]
[6,5,8,7,1,3,2,4] => [1,2,1,2,2]
[2,7,3,5,1,6,8,4] => [2,2,3,1]
[5,7,6,8,2,1,4,3] => [2,2,1,2,1]
[1,3,6,5,2,7,4,8] => [3,1,2,2]
[1,2,6,5,3,4,7,8] => [3,1,4]
[1,7,2,5,6,8,3,4] => [2,4,2]
[1,7,2,4,8,3,5,6] => [2,3,3]
[1,6,2,4,5,3,7,8] => [2,3,3]
[1,4,8,2,3,7,5,6] => [3,3,2]
[1,3,2,8,4,5,7,6] => [2,2,3,1]
[1,6,8,2,4,3,5,7] => [3,2,3]
[1,6,7,2,5,3,4,8] => [3,2,3]
[1,5,8,2,6,7,3,4] => [3,3,2]
[1,8,2,3,6,7,4,5] => [2,4,2]
[1,2,8,3,6,7,4,5] => [3,3,2]
[1,3,4,8,2,6,7,5] => [4,3,1]
[1,7,2,5,3,4,8,6] => [2,2,3,1]
[1,6,2,3,5,4,7,8] => [2,3,3]
[7,1,5,6,2,3,8,4] => [1,3,3,1]
[8,2,1,4,6,7,3,5] => [1,1,4,2]
[7,2,6,1,3,4,8,5] => [1,2,4,1]
[4,1,3,7,2,5,8,6] => [1,3,3,1]
[6,2,7,5,1,3,8,4] => [1,2,1,3,1]
[1,7,5,6,2,3,8,4] => [2,2,3,1]
[3,7,6,1,2,4,8,5] => [2,1,4,1]
[8,6,1,3,5,7,2,4] => [1,1,4,2]
[1,7,4,3,8,2,5,6] => [2,1,2,3]
[6,1,5,3,4,8,2,7] => [1,2,3,2]
[3,6,7,5,2,8,1,4] => [3,1,2,2]
[7,8,4,1,5,6,2,3] => [2,1,3,2]
[5,8,1,3,6,7,2,4] => [2,4,2]
[2,8,4,3,7,1,5,6] => [2,1,2,3]
[3,8,4,6,7,1,2,5] => [2,3,3]
[6,3,8,4,7,1,2,5] => [1,2,2,3]
[1,2,5,4,8,3,6,7] => [3,2,3]
[7,1,3,8,2,4,5,6] => [1,3,4]
[8,1,3,7,2,4,5,6] => [1,3,4]
[3,5,4,7,8,1,2,6] => [2,3,3]
[8,3,1,4,7,2,5,6] => [1,1,3,3]
[1,6,4,7,8,2,3,5] => [2,3,3]
[5,2,3,6,7,8,1,4] => [1,5,2]
[6,2,7,3,8,5,1,4] => [1,2,2,1,2]
[1,3,7,8,5,6,2,4] => [4,2,2]
[8,2,6,7,5,1,3,4] => [1,3,1,3]
[8,1,7,4,6,2,3,5] => [1,2,2,3]
[2,5,8,4,7,1,3,6] => [3,2,3]
[4,5,8,7,1,2,3,6] => [3,1,4]
[4,1,8,5,7,2,3,6] => [1,2,2,3]
[1,8,7,4,6,2,3,5] => [2,1,2,3]
[2,6,5,4,1,8,3,7] => [2,1,1,2,2]
[6,2,5,1,4,8,3,7] => [1,2,3,2]
[6,5,4,1,3,8,2,7] => [1,1,1,3,2]
[6,3,5,4,2,8,1,7] => [1,2,1,2,2]
[1,3,8,7,4,2,6,5] => [3,1,1,2,1]
[8,7,4,3,1,5,2,6] => [1,1,1,1,2,2]
[8,2,5,1,4,6,7,3] => [1,2,4,1]
[3,8,4,5,1,6,7,2] => [2,2,3,1]
[8,5,4,1,3,6,7,2] => [1,1,1,4,1]
[8,3,1,7,5,6,4,2] => [1,1,2,2,1,1]
[8,4,7,6,5,3,1,2] => [1,2,1,1,1,2]
[8,1,4,5,7,6,3,2] => [1,4,1,1,1]
[2,4,1,8,5,7,6,3] => [2,2,2,1,1]
[8,2,1,4,7,6,3,5] => [1,1,3,1,2]
[8,3,1,7,4,2,6,5] => [1,1,2,1,2,1]
[8,2,7,3,1,6,5,4] => [1,2,1,2,1,1]
[1,8,4,2,3,7,6,5] => [2,1,3,1,1]
[3,1,2,8,7,4,6,5] => [1,3,1,2,1]
[8,5,1,2,4,3,7,6] => [1,1,3,2,1]
[2,8,3,7,4,1,6,5] => [2,2,1,2,1]
[8,4,5,7,6,2,3,1] => [1,3,1,2,1]
[2,3,1,8,7,6,4,5] => [2,2,1,1,2]
[4,2,8,7,3,1,5,6] => [1,2,1,1,3]
[1,3,4,8,7,2,5,6] => [4,1,3]
[8,1,3,4,6,7,2,5] => [1,5,2]
[3,4,8,2,6,7,1,5] => [3,3,2]
[3,6,8,2,5,1,7,4] => [3,2,2,1]
[3,8,2,5,7,4,6,1] => [2,3,2,1]
[8,4,2,1,7,5,6,3] => [1,1,1,2,2,1]
[8,2,7,5,6,4,1,3] => [1,2,2,1,2]
[6,2,8,5,4,1,7,3] => [1,2,1,1,2,1]
[6,8,5,4,1,7,2,3] => [2,1,1,2,2]
[2,8,1,5,7,6,3,4] => [2,3,1,2]
[3,1,8,2,7,5,6,4] => [1,2,2,2,1]
[8,5,7,1,6,4,2,3] => [1,2,2,1,2]
[2,8,4,7,3,6,5,1] => [2,2,2,1,1]
[8,4,7,2,1,6,5,3] => [1,2,1,2,1,1]
[1,8,4,7,6,5,2,3] => [2,2,1,1,2]
[3,5,8,1,7,4,6,2] => [3,2,2,1]
[8,4,7,1,3,6,5,2] => [1,2,3,1,1]
[2,3,4,7,6,8,1,5] => [4,2,2]
[3,7,1,2,8,6,4,5] => [2,3,1,2]
[3,8,1,2,5,6,4,7] => [2,4,2]
[3,7,1,2,5,6,4,8] => [2,4,2]
[8,5,2,1,4,6,7,3] => [1,1,1,4,1]
[4,8,1,6,5,2,7,3] => [2,2,1,2,1]
[2,6,3,1,8,5,7,4] => [2,1,2,2,1]
[4,2,6,3,8,5,7,1] => [1,2,2,2,1]
[2,7,3,1,6,5,8,4] => [2,1,2,2,1]
[7,1,2,4,6,5,8,3] => [1,4,2,1]
[4,5,2,6,7,1,8,3] => [2,3,2,1]
[5,7,1,2,6,8,4,3] => [2,4,1,1]
[5,8,2,6,4,1,7,3] => [2,2,1,2,1]
[4,2,8,3,5,6,7,1] => [1,2,4,1]
[8,7,3,4,1,6,2,5] => [1,1,2,2,2]
[2,7,4,3,8,6,1,5] => [2,1,2,1,2]
[2,7,6,3,1,5,4,8] => [2,1,1,2,2]
[2,7,4,1,6,3,5,8] => [2,1,2,3]
[3,7,4,2,8,1,6,5] => [2,1,2,2,1]
[8,5,3,4,2,1,7,6] => [1,1,2,1,2,1]
[7,4,3,5,2,1,8,6] => [1,1,2,1,2,1]
[8,3,5,4,2,7,1,6] => [1,2,1,2,2]
[2,8,6,4,7,3,1,5] => [2,1,2,1,2]
[5,2,7,8,6,1,4,3] => [1,3,1,2,1]
[5,2,4,6,8,1,7,3] => [1,4,2,1]
[2,3,8,4,6,1,7,5] => [3,2,2,1]
[3,1,8,6,5,2,7,4] => [1,2,1,1,2,1]
[8,3,1,5,2,6,7,4] => [1,1,2,3,1]
[3,8,2,4,1,5,7,6] => [2,2,3,1]
[5,8,3,2,4,1,7,6] => [2,1,2,2,1]
[6,2,8,3,4,5,7,1] => [1,2,4,1]
[7,2,6,8,4,3,5,1] => [1,3,1,2,1]
[5,6,3,8,4,2,1,7] => [2,2,1,1,2]
[6,5,3,2,4,8,1,7] => [1,1,1,3,2]
[7,2,5,3,4,8,6,1] => [1,2,3,1,1]
[3,6,2,1,4,5,7,8] => [2,1,5]
[5,2,4,6,1,3,8,7] => [1,3,3,1]
[7,2,3,4,6,8,1,5] => [1,5,2]
[8,3,4,6,7,5,1,2] => [1,4,1,2]
[6,8,3,4,7,5,2,1] => [2,3,1,1,1]
[5,8,6,1,3,4,7,2] => [2,1,4,1]
[4,8,1,5,7,6,3,2] => [2,3,1,1,1]
[3,7,4,6,8,2,5,1] => [2,3,2,1]
[4,7,1,6,8,3,2,5] => [2,3,1,2]
[4,5,2,8,1,7,3,6] => [2,2,2,2]
[3,7,5,2,8,6,1,4] => [2,1,2,1,2]
[4,8,5,2,6,7,1,3] => [2,1,3,2]
[5,4,8,6,1,2,7,3] => [1,2,1,3,1]
[8,4,6,5,2,7,3,1] => [1,2,1,2,1,1]
[8,1,6,4,7,5,2,3] => [1,2,2,1,2]
[5,2,7,6,4,8,1,3] => [1,2,1,2,2]
[8,6,2,3,5,1,7,4] => [1,1,3,2,1]
[8,2,5,7,4,1,3,6] => [1,3,1,3]
[7,2,4,5,6,8,1,3] => [1,5,2]
[7,1,3,5,6,2,8,4] => [1,4,2,1]
[7,1,5,8,4,6,3,2] => [1,3,2,1,1]
[6,3,8,4,7,1,5,2] => [1,2,2,2,1]
[7,1,4,3,2,8,5,6] => [1,2,1,2,2]
[5,3,6,1,4,2,8,7] => [1,2,2,2,1]
[5,7,2,1,4,3,8,6] => [2,1,2,2,1]
[7,1,8,3,5,2,4,6] => [1,2,2,3]
[7,2,4,8,1,5,6,3] => [1,3,3,1]
[7,1,8,4,2,5,6,3] => [1,2,1,3,1]
[6,4,2,5,8,1,7,3] => [1,1,3,2,1]
[2,1,7,5,8,3,6,4] => [1,2,2,2,1]
[7,3,8,5,6,2,1,4] => [1,2,2,1,2]
[2,7,4,8,1,5,6,3] => [2,2,3,1]
[7,4,8,3,1,5,6,2] => [1,2,1,3,1]
[6,1,5,8,3,7,4,2] => [1,3,2,1,1]
[2,6,3,5,8,7,4,1] => [2,3,1,1,1]
[8,6,5,3,7,2,1,4] => [1,1,1,2,1,2]
[4,8,5,3,7,2,1,6] => [2,1,2,1,2]
[7,4,8,6,5,3,2,1] => [1,2,1,1,1,1,1]
[7,4,8,5,6,3,1,2] => [1,2,2,1,2]
[7,8,4,1,3,5,6,2] => [2,1,4,1]
[7,8,3,4,1,5,6,2] => [2,2,3,1]
[7,3,1,8,2,5,6,4] => [1,1,2,3,1]
[7,2,3,8,1,5,6,4] => [1,3,3,1]
[6,4,8,7,3,2,1,5] => [1,2,1,1,1,2]
[2,7,4,8,6,3,1,5] => [2,2,1,1,2]
[6,4,8,2,3,1,7,5] => [1,2,2,2,1]
[7,2,1,8,3,5,6,4] => [1,1,2,3,1]
[5,1,6,2,3,8,7,4] => [1,2,3,1,1]
[5,1,6,3,8,2,4,7] => [1,2,2,3]
[3,6,5,1,4,8,7,2] => [2,1,3,1,1]
[7,6,1,3,8,4,5,2] => [1,1,3,2,1]
[6,7,1,5,8,3,4,2] => [2,3,2,1]
[6,7,4,1,8,3,5,2] => [2,1,2,2,1]
[7,3,6,2,8,1,4,5] => [1,2,2,3]
[1,6,7,3,8,4,5,2] => [3,2,2,1]
[7,3,6,2,8,4,1,5] => [1,2,2,1,2]
[7,5,1,8,6,4,2,3] => [1,1,2,1,1,2]
[6,5,1,8,4,7,2,3] => [1,1,2,2,2]
[6,5,1,8,4,2,7,3] => [1,1,2,1,2,1]
[3,4,8,6,1,7,5,2] => [3,1,2,1,1]
[3,4,8,5,7,1,6,2] => [3,2,2,1]
[7,5,4,8,1,6,2,3] => [1,1,2,2,2]
[4,3,5,8,7,1,2,6] => [1,3,1,3]
[7,5,4,8,1,2,6,3] => [1,1,2,3,1]
[3,4,8,6,7,5,1,2] => [3,2,1,2]
[3,5,6,8,1,4,2,7] => [4,2,2]
[6,1,5,8,7,2,3,4] => [1,3,1,3]
[5,1,6,2,8,4,3,7] => [1,2,2,1,2]
[7,3,6,1,8,4,2,5] => [1,2,2,1,2]
[1,4,5,8,6,3,7,2] => [4,1,2,1]
[3,5,4,8,6,2,1,7] => [2,2,1,1,2]
[3,4,8,1,7,6,5,2] => [3,2,1,1,1]
[3,4,8,1,6,7,5,2] => [3,3,1,1]
[3,4,8,5,1,7,6,2] => [3,1,2,1,1]
[3,5,4,8,2,7,1,6] => [2,2,2,2]
[4,3,5,8,2,1,6,7] => [1,3,1,3]
[4,3,5,8,2,6,1,7] => [1,3,2,2]
[3,4,8,1,6,5,7,2] => [3,2,2,1]
[6,4,7,2,3,1,5,8] => [1,2,2,3]
[6,2,7,1,5,3,4,8] => [1,2,2,3]
[6,8,1,5,4,2,7,3] => [2,2,1,2,1]
[7,8,6,3,1,4,2,5] => [2,1,1,2,2]
[7,8,6,3,5,1,2,4] => [2,1,2,3]
[6,2,7,5,4,1,3,8] => [1,2,1,1,3]
[7,2,8,5,4,6,3,1] => [1,2,1,2,1,1]
[6,1,8,4,7,2,3,5] => [1,2,2,3]
[6,1,7,5,4,3,8,2] => [1,2,1,1,2,1]
[5,6,4,3,7,1,8,2] => [2,1,2,2,1]
[6,5,3,7,2,4,8,1] => [1,1,2,3,1]
[6,5,3,8,1,7,4,2] => [1,1,2,2,1,1]
[5,4,2,3,8,6,7,1] => [1,1,3,2,1]
[5,6,4,3,8,1,7,2] => [2,1,2,2,1]
[5,7,6,8,4,3,1,2] => [2,2,1,1,2]
[6,2,8,7,5,3,4,1] => [1,2,1,1,2,1]
[6,3,2,8,5,4,7,1] => [1,1,2,1,2,1]
[5,6,2,8,7,3,1,4] => [2,2,1,1,2]
[5,6,2,8,4,3,7,1] => [2,2,1,2,1]
[6,1,8,3,2,5,7,4] => [1,2,1,3,1]
[6,1,7,8,3,2,4,5] => [1,3,1,3]
[4,1,2,6,8,3,7,5] => [1,4,2,1]
[5,1,3,6,2,7,4,8] => [1,3,2,2]
[5,1,3,6,2,8,7,4] => [1,3,2,1,1]
[7,1,6,2,5,8,3,4] => [1,2,3,2]
[6,1,7,4,8,2,5,3] => [1,2,2,2,1]
[4,3,2,7,8,5,1,6] => [1,1,3,1,2]
[7,1,3,6,5,8,4,2] => [1,3,2,1,1]
[5,1,7,4,6,8,2,3] => [1,2,3,2]
[5,7,4,3,6,8,2,1] => [2,1,3,1,1]
[5,1,4,3,6,7,2,8] => [1,2,3,2]
[5,4,2,3,6,8,7,1] => [1,1,4,1,1]
[7,5,3,6,2,8,4,1] => [1,1,2,2,1,1]
[4,6,2,7,8,3,5,1] => [2,3,2,1]
[5,1,2,4,6,7,8,3] => [1,6,1]
[4,6,3,5,2,8,7,1] => [2,2,2,1,1]
[5,6,3,4,8,2,7,1] => [2,3,2,1]
[5,3,6,4,1,7,8,2] => [1,2,1,3,1]
[5,2,6,4,1,7,8,3] => [1,2,1,3,1]
[5,4,1,7,6,3,8,2] => [1,1,2,1,2,1]
[5,8,4,6,3,2,7,1] => [2,2,1,2,1]
[5,4,3,8,6,2,7,1] => [1,1,2,1,2,1]
[5,7,8,2,4,3,6,1] => [3,2,2,1]
[5,6,2,4,8,3,7,1] => [2,3,2,1]
[6,4,7,8,2,3,5,1] => [1,3,3,1]
[3,7,5,2,4,8,1,6] => [2,1,3,2]
[4,7,5,2,3,8,6,1] => [2,1,3,1,1]
[6,4,7,3,2,5,8,1] => [1,2,1,3,1]
[5,7,3,2,8,4,6,1] => [2,1,2,2,1]
[5,3,7,2,8,4,6,1] => [1,2,2,2,1]
[4,3,7,2,5,8,6,1] => [1,2,3,1,1]
[4,7,3,2,5,8,6,1] => [2,1,3,1,1]
[4,8,3,5,1,7,6,2] => [2,2,2,1,1]
[4,7,3,2,6,8,5,1] => [2,1,3,1,1]
[7,5,3,2,6,4,8,1] => [1,1,1,2,2,1]
[8,5,2,6,7,3,4,1] => [1,1,3,2,1]
[8,4,2,6,3,7,5,1] => [1,1,2,2,1,1]
[7,4,6,2,3,8,5,1] => [1,2,3,1,1]
[7,5,6,2,8,3,4,1] => [1,2,2,2,1]
[5,7,6,2,8,3,4,1] => [2,1,2,2,1]
[4,7,6,2,3,8,5,1] => [2,1,3,1,1]
[7,6,3,2,5,8,1,4] => [1,1,1,3,2]
[7,6,4,2,5,8,3,1] => [1,1,1,3,1,1]
[6,3,8,5,4,7,2,1] => [1,2,1,2,1,1]
[7,8,2,5,1,3,6,4] => [2,2,3,1]
[2,4,6,3,8,7,5,1] => [3,2,1,1,1]
[2,4,6,1,8,7,3,5] => [3,2,1,2]
[2,4,3,6,8,7,1,5] => [2,3,1,2]
[2,4,6,3,8,7,1,5] => [3,2,1,2]
[2,4,6,5,8,7,1,3] => [3,2,1,2]
[2,4,6,8,5,7,3,1] => [4,2,1,1]
[2,4,6,8,5,7,1,3] => [4,2,2]
[2,4,6,8,3,7,1,5] => [4,2,2]
[2,4,6,8,1,7,3,5] => [4,2,2]
[2,4,6,5,1,8,7,3] => [3,1,2,1,1]
[2,4,6,5,8,3,7,1] => [3,2,2,1]
[2,4,6,5,8,1,7,3] => [3,2,2,1]
[2,4,6,8,5,1,7,3] => [4,1,2,1]
[2,4,6,8,7,3,5,1] => [4,1,2,1]
[2,4,6,8,7,1,5,3] => [4,1,2,1]
[2,4,6,8,7,1,3,5] => [4,1,3]
[2,4,6,8,5,1,3,7] => [4,1,3]
[2,4,6,5,1,8,3,7] => [3,1,2,2]
[2,4,6,5,1,3,8,7] => [3,1,3,1]
[2,4,6,5,3,8,1,7] => [3,1,2,2]
[2,4,6,5,8,3,1,7] => [3,2,1,2]
[2,4,6,8,5,3,1,7] => [4,1,1,2]
[2,4,6,8,7,3,1,5] => [4,1,1,2]
[2,4,6,8,7,5,1,3] => [4,1,1,2]
[4,8,7,5,2,1,3,6] => [2,1,1,1,3]
[6,1,4,7,5,8,2,3] => [1,3,2,2]
[1,8,6,5,3,2,7,4] => [2,1,1,1,2,1]
[1,6,3,5,8,2,4,7] => [2,3,3]
[4,6,1,7,8,5,3,2] => [2,3,1,1,1]
[6,1,2,7,8,4,5,3] => [1,4,2,1]
[6,1,3,2,7,8,5,4] => [1,2,3,1,1]
[5,6,3,1,7,4,8,2] => [2,1,2,2,1]
[4,8,3,7,1,6,5,2] => [2,2,2,1,1]
[8,7,2,6,5,1,4,3] => [1,1,2,1,2,1]
[5,8,3,2,1,7,6,4] => [2,1,1,2,1,1]
[5,4,3,8,1,7,6,2] => [1,1,2,2,1,1]
[6,5,3,8,7,1,4,2] => [1,1,2,1,2,1]
[4,3,8,2,7,6,5,1] => [1,2,2,1,1,1]
[4,8,2,7,6,5,3,1] => [2,2,1,1,1,1]
[7,8,2,6,5,4,1,3] => [2,2,1,1,2]
[3,8,7,6,2,5,1,4] => [2,1,1,2,2]
[4,8,3,7,2,1,6,5] => [2,2,1,2,1]
[8,6,3,1,7,5,4,2] => [1,1,1,2,1,1,1]
[8,6,3,7,1,5,4,2] => [1,1,2,2,1,1]
[4,8,3,7,6,2,5,1] => [2,2,1,2,1]
[5,8,2,7,6,4,1,3] => [2,2,1,1,2]
[8,4,2,1,7,6,5,3] => [1,1,1,2,1,1,1]
[1,6,4,2,5,3,7,8] => [2,1,2,3]
[1,8,6,2,7,3,4,5] => [2,1,2,3]
[1,6,3,2,4,5,7,8] => [2,1,5]
[1,5,2,6,4,3,7,8] => [2,2,1,3]
[1,5,2,4,6,3,7,8] => [2,3,3]
[1,8,6,2,3,7,4,5] => [2,1,3,2]
[1,5,2,8,6,3,4,7] => [2,2,1,3]
[1,3,6,8,2,7,4,5] => [4,2,2]
[1,4,3,8,2,5,6,7] => [2,2,4]
[1,7,2,3,8,5,4,6] => [2,3,1,2]
[1,3,8,4,2,5,6,7] => [3,1,4]
[1,6,2,8,5,4,3,7] => [2,2,1,1,2]
[1,7,2,3,8,6,4,5] => [2,3,1,2]
[1,5,3,8,2,7,4,6] => [2,2,2,2]
[1,4,6,5,2,8,3,7] => [3,1,2,2]
[1,5,6,4,2,8,3,7] => [3,1,2,2]
[1,4,8,2,5,6,3,7] => [3,3,2]
[1,5,7,3,2,8,4,6] => [3,1,2,2]
[1,2,7,3,6,8,4,5] => [3,3,2]
[1,7,2,3,6,8,4,5] => [2,4,2]
[1,4,8,3,2,5,6,7] => [3,1,4]
[1,7,2,5,8,3,4,6] => [2,3,3]
[6,2,3,5,8,1,7,4] => [1,4,2,1]
[5,2,4,8,1,6,7,3] => [1,3,3,1]
[2,6,4,5,7,3,1,8] => [2,3,1,2]
[2,5,6,3,4,7,1,8] => [3,3,2]
[1,3,7,5,6,8,4,2] => [3,3,1,1]
[1,3,6,7,4,5,8,2] => [4,3,1]
[1,5,6,3,4,2,7,8] => [3,2,3]
[1,5,6,3,4,7,2,8] => [3,3,2]
[1,5,3,6,4,2,7,8] => [2,2,1,3]
[1,7,5,6,8,3,4,2] => [2,3,2,1]
[1,7,5,6,3,8,4,2] => [2,2,2,1,1]
[1,3,7,5,2,8,6,4] => [3,1,2,1,1]
[1,3,7,2,5,8,6,4] => [3,3,1,1]
[1,5,3,7,4,6,2,8] => [2,2,2,2]
[1,5,3,7,6,4,2,8] => [2,2,1,1,2]
[1,5,3,6,7,4,2,8] => [2,3,1,2]
[1,5,6,3,7,4,2,8] => [3,2,1,2]
[1,5,7,6,3,4,8,2] => [3,1,3,1]
[1,5,7,3,6,4,8,2] => [3,2,2,1]
[1,3,7,2,5,6,8,4] => [3,4,1]
[1,3,7,5,6,2,8,4] => [3,2,2,1]
[4,6,8,3,1,7,2,5] => [3,1,2,2]
[2,5,7,4,1,3,8,6] => [3,1,3,1]
[6,7,3,1,8,5,2,4] => [2,1,2,1,2]
[4,7,3,6,1,8,2,5] => [2,2,2,2]
[6,3,1,5,8,7,2,4] => [1,1,3,1,2]
[8,3,5,1,7,6,2,4] => [1,2,2,1,2]
[6,3,4,7,2,1,8,5] => [1,3,1,2,1]
[5,3,6,8,7,2,1,4] => [1,3,1,1,2]
[4,6,3,5,8,2,1,7] => [2,3,1,2]
[3,6,2,5,8,4,1,7] => [2,3,1,2]
[7,2,4,8,6,3,1,5] => [1,3,1,1,2]
[2,3,5,7,4,1,8,6] => [4,1,2,1]
[2,3,6,4,1,8,7,5] => [3,1,2,1,1]
[8,2,5,3,1,7,6,4] => [1,2,1,2,1,1]
[6,2,4,8,3,1,7,5] => [1,3,1,2,1]
[5,2,6,4,3,1,8,7] => [1,2,1,1,2,1]
[4,7,3,5,2,1,8,6] => [2,2,1,2,1]
[8,3,4,6,2,1,7,5] => [1,3,1,2,1]
[8,4,5,2,1,7,6,3] => [1,2,1,2,1,1]
[7,4,5,2,1,8,6,3] => [1,2,1,2,1,1]
[2,5,6,3,1,8,7,4] => [3,1,2,1,1]
[4,7,5,2,1,8,6,3] => [2,1,1,2,1,1]
[8,5,3,6,2,1,7,4] => [1,1,2,1,2,1]
[5,6,4,3,8,2,1,7] => [2,1,2,1,2]
[4,5,7,3,1,2,8,6] => [3,1,3,1]
[4,5,1,8,3,2,7,6] => [2,2,1,2,1]
[5,7,4,6,3,2,1,8] => [2,2,1,1,2]
[3,6,1,2,4,8,7,5] => [2,4,1,1]
[2,5,3,8,4,1,7,6] => [2,2,1,2,1]
[4,5,2,8,3,1,7,6] => [2,2,1,2,1]
[4,6,3,2,8,5,1,7] => [2,1,2,1,2]
[7,4,2,8,3,1,6,5] => [1,1,2,1,2,1]
[8,6,2,3,1,7,5,4] => [1,1,2,2,1,1]
[6,7,2,3,1,8,5,4] => [2,2,2,1,1]
[5,7,2,3,1,8,6,4] => [2,2,2,1,1]
[2,7,3,4,1,8,6,5] => [2,2,2,1,1]
[2,6,3,4,1,8,7,5] => [2,2,2,1,1]
[7,5,2,3,1,8,6,4] => [1,1,2,2,1,1]
[6,3,1,2,4,8,7,5] => [1,1,4,1,1]
[8,2,3,4,1,7,6,5] => [1,3,2,1,1]
[6,2,3,4,1,8,7,5] => [1,3,2,1,1]
[4,7,5,2,3,6,1,8] => [2,1,3,2]
[3,6,8,4,5,1,2,7] => [3,2,3]
[5,2,3,7,6,4,1,8] => [1,3,1,1,2]
[6,2,7,3,5,4,1,8] => [1,2,2,1,2]
[7,2,6,5,3,4,1,8] => [1,2,1,2,2]
[8,2,6,5,4,1,3,7] => [1,2,1,1,3]
[6,2,8,4,5,1,3,7] => [1,2,2,3]
[2,3,1,7,8,5,6,4] => [2,3,2,1]
[7,2,8,5,1,4,3,6] => [1,2,1,2,2]
[8,6,7,1,4,2,3,5] => [1,2,2,3]
[6,8,7,1,4,3,2,5] => [2,1,2,1,2]
[6,8,2,5,3,1,4,7] => [2,2,1,3]
[3,7,8,5,1,4,2,6] => [3,1,2,2]
[4,8,7,3,1,2,5,6] => [2,1,1,4]
[4,8,6,2,3,1,5,7] => [2,1,2,3]
[3,8,5,4,2,1,6,7] => [2,1,1,1,3]
[4,5,3,8,2,1,6,7] => [2,2,1,3]
[3,7,4,1,8,2,6,5] => [2,1,2,2,1]
[3,8,4,1,7,6,2,5] => [2,1,2,1,2]
[3,7,2,1,8,4,6,5] => [2,1,2,2,1]
[8,7,1,6,5,2,3,4] => [1,1,2,1,3]
[8,5,1,2,7,6,3,4] => [1,1,3,1,2]
[3,8,2,1,7,6,4,5] => [2,1,2,1,2]
[3,5,7,8,2,4,6,1] => [4,3,1]
[7,8,2,5,4,3,6,1] => [2,2,1,2,1]
[4,5,3,7,8,2,6,1] => [2,3,2,1]
[1,5,4,7,3,6,2,8] => [2,2,2,2]
[1,7,3,6,8,4,5,2] => [2,3,2,1]
[4,6,8,2,7,3,5,1] => [3,2,2,1]
[4,7,6,3,5,1,8,2] => [2,1,2,2,1]
[7,8,3,6,1,5,4,2] => [2,2,2,1,1]
[2,5,7,8,4,6,1,3] => [4,2,2]
[3,7,5,6,2,1,4,8] => [2,2,1,3]
[6,2,1,7,4,5,3,8] => [1,1,2,2,2]
[1,2,6,4,7,5,3,8] => [3,2,1,2]
[7,5,6,3,8,4,2,1] => [1,2,2,1,1,1]
[8,5,4,2,1,6,7,3] => [1,1,1,1,3,1]
[2,6,8,4,7,5,1,3] => [3,2,1,2]
[6,7,5,1,4,8,3,2] => [2,1,3,1,1]
[7,4,1,6,5,3,8,2] => [1,1,2,1,2,1]
[5,8,2,7,3,6,4,1] => [2,2,2,1,1]
[1,6,5,7,3,8,4,2] => [2,2,2,1,1]
[1,5,6,8,4,2,7,3] => [4,1,2,1]
[7,5,4,1,8,2,6,3] => [1,1,1,2,2,1]
[6,4,1,8,2,7,5,3] => [1,1,2,2,1,1]
[7,8,5,3,2,6,1,4] => [2,1,1,2,2]
[8,2,5,1,7,6,4,3] => [1,2,2,1,1,1]
[6,7,4,3,8,2,5,1] => [2,1,2,2,1]
[3,4,2,7,8,6,1,5] => [2,3,1,2]
[7,8,6,1,4,3,2,5] => [2,1,2,1,2]
[2,4,7,8,6,1,3,5] => [4,1,3]
[3,7,8,6,5,2,4,1] => [3,1,1,2,1]
[4,5,2,7,8,6,3,1] => [2,3,1,1,1]
[4,6,2,5,3,1,7,8] => [2,2,1,3]
[4,1,5,6,3,2,7,8] => [1,3,1,3]
[2,6,7,5,4,1,3,8] => [3,1,1,3]
[4,1,6,7,5,3,2,8] => [1,3,1,1,2]
[6,7,4,3,1,5,2,8] => [2,1,1,2,2]
[1,7,5,6,4,3,2,8] => [2,2,1,1,2]
[7,6,5,3,1,8,4,2] => [1,1,1,1,2,1,1]
[7,8,6,4,3,1,5,2] => [2,1,1,1,2,1]
[4,1,7,8,6,5,3,2] => [1,3,1,1,1,1]
[4,5,7,3,8,6,1,2] => [3,2,1,2]
[6,8,5,3,7,2,1,4] => [2,1,2,1,2]
[4,6,7,8,5,3,1,2] => [4,1,1,2]
[3,4,7,5,6,8,1,2] => [3,3,2]
[4,7,1,5,8,2,6,3] => [2,3,2,1]
[3,7,6,1,2,8,5,4] => [2,1,3,1,1]
[3,7,6,2,1,8,4,5] => [2,1,1,2,2]
[2,7,5,8,3,6,4,1] => [2,2,2,1,1]
[7,4,8,2,6,5,3,1] => [1,2,2,1,1,1]
[7,5,4,8,2,6,3,1] => [1,1,2,2,1,1]
[4,3,8,1,6,5,2,7] => [1,2,2,1,2]
[2,3,6,5,7,8,1,4] => [3,3,2]
[8,3,4,1,2,6,7,5] => [1,2,4,1]
[7,3,4,8,5,2,1,6] => [1,3,1,1,2]
[7,3,8,4,1,5,6,2] => [1,2,1,3,1]
[7,2,4,5,1,8,3,6] => [1,3,2,2]
[3,8,7,5,1,4,2,6] => [2,1,1,2,2]
[4,3,8,7,1,5,2,6] => [1,2,1,2,2]
[7,3,1,2,8,5,6,4] => [1,1,3,2,1]
[4,8,2,3,5,7,6,1] => [2,4,1,1]
[4,5,2,3,8,6,7,1] => [2,3,2,1]
[6,7,4,8,5,3,2,1] => [2,2,1,1,1,1]
[3,7,6,1,4,2,8,5] => [2,1,2,2,1]
[4,3,5,6,1,7,8,2] => [1,3,3,1]
[3,5,2,6,4,7,8,1] => [2,2,3,1]
[5,6,7,2,4,3,8,1] => [3,2,2,1]
[5,6,1,8,7,3,4,2] => [2,2,1,2,1]
[4,1,2,8,5,7,6,3] => [1,3,2,1,1]
[3,1,5,6,4,7,8,2] => [1,3,3,1]
[3,1,4,6,7,5,8,2] => [1,4,2,1]
[5,2,1,4,6,8,3,7] => [1,1,4,2]
[2,6,4,5,8,1,3,7] => [2,3,3]
[6,4,1,3,5,8,2,7] => [1,1,4,2]
[5,2,3,6,4,8,1,7] => [1,3,2,2]
[8,6,5,2,3,7,4,1] => [1,1,1,3,1,1]
[3,4,1,7,2,6,8,5] => [2,2,3,1]
[7,3,1,4,5,8,2,6] => [1,1,4,2]
[2,4,7,5,8,1,3,6] => [3,2,3]
[6,1,8,7,3,4,5,2] => [1,2,1,3,1]
[6,8,7,4,1,3,5,2] => [2,1,1,3,1]
[3,1,6,4,8,7,5,2] => [1,2,2,1,1,1]
[3,7,1,4,5,8,6,2] => [2,4,1,1]
[2,5,6,3,8,7,4,1] => [3,2,1,1,1]
[5,8,7,4,1,3,6,2] => [2,1,1,3,1]
[8,4,7,5,1,3,6,2] => [1,2,1,3,1]
[8,7,1,5,3,4,6,2] => [1,1,2,3,1]
[7,2,6,4,8,1,3,5] => [1,2,2,3]
[5,7,3,1,2,6,8,4] => [2,1,4,1]
[3,7,6,2,1,5,8,4] => [2,1,1,3,1]
[4,2,6,1,3,7,8,5] => [1,2,4,1]
[8,5,4,2,7,6,3,1] => [1,1,1,2,1,1,1]
[2,7,4,3,1,6,8,5] => [2,1,1,3,1]
[2,8,4,6,7,1,3,5] => [2,3,3]
[1,8,3,4,6,7,2,5] => [2,4,2]
[8,2,3,6,1,5,7,4] => [1,3,3,1]
[2,5,3,1,6,8,7,4] => [2,1,3,1,1]
[2,5,1,6,4,8,7,3] => [2,2,2,1,1]
[5,8,2,1,4,6,7,3] => [2,1,4,1]
[8,4,6,1,2,5,7,3] => [1,2,4,1]
[3,7,8,4,2,6,5,1] => [3,1,2,1,1]
[8,5,1,4,2,6,7,3] => [1,1,2,3,1]
[3,5,1,8,6,7,2,4] => [2,2,2,2]
[5,6,2,8,7,1,3,4] => [2,2,1,3]
[7,2,4,8,5,6,1,3] => [1,3,2,2]
[7,1,3,8,4,5,6,2] => [1,3,3,1]
[7,8,1,4,3,5,6,2] => [2,2,3,1]
[2,6,7,8,3,5,1,4] => [4,2,2]
[3,6,7,8,2,1,5,4] => [4,1,2,1]
[3,6,7,2,8,1,5,4] => [3,2,2,1]
[2,6,7,1,3,5,8,4] => [3,4,1]
[3,6,7,1,2,8,5,4] => [3,3,1,1]
[3,6,7,1,8,2,5,4] => [3,2,2,1]
[3,4,1,8,7,2,6,5] => [2,2,1,2,1]
[2,5,1,7,3,6,8,4] => [2,2,3,1]
[3,1,5,7,2,8,6,4] => [1,3,2,1,1]
[3,1,5,7,8,2,6,4] => [1,4,2,1]
[3,8,1,4,7,2,6,5] => [2,3,2,1]
[4,8,1,3,2,7,6,5] => [2,2,2,1,1]
[4,1,8,3,2,7,6,5] => [1,2,1,2,1,1]
[4,1,3,8,2,7,6,5] => [1,3,2,1,1]
[1,4,2,3,7,6,5,8] => [2,3,1,2]
[4,3,1,8,2,7,6,5] => [1,1,2,2,1,1]
[4,3,8,1,2,7,6,5] => [1,2,3,1,1]
[4,3,8,2,1,7,6,5] => [1,2,1,2,1,1]
[3,4,2,8,7,1,6,5] => [2,2,1,2,1]
[3,8,4,2,7,1,6,5] => [2,1,2,2,1]
[2,8,4,3,7,6,1,5] => [2,1,2,1,2]
[2,4,3,8,7,6,1,5] => [2,2,1,1,2]
[2,4,5,7,6,1,8,3] => [4,1,2,1]
[2,4,5,7,6,8,1,3] => [4,2,2]
[2,3,5,7,8,6,1,4] => [5,1,2]
[2,3,8,4,7,6,1,5] => [3,2,1,2]
[3,8,2,4,7,1,6,5] => [2,3,2,1]
[3,2,4,8,7,1,6,5] => [1,3,1,2,1]
[3,2,5,7,1,8,6,4] => [1,3,2,1,1]
[2,3,5,7,1,6,8,4] => [4,3,1]
[4,2,3,8,1,7,6,5] => [1,3,2,1,1]
[4,2,8,3,1,7,6,5] => [1,2,1,2,1,1]
[4,8,2,3,1,7,6,5] => [2,2,2,1,1]
[4,8,2,1,3,7,6,5] => [2,1,3,1,1]
[4,2,8,1,3,7,6,5] => [1,2,3,1,1]
[3,1,2,4,7,8,6,5] => [1,5,1,1]
[3,5,4,7,2,8,1,6] => [2,2,2,2]
[3,6,4,7,8,2,1,5] => [2,3,1,2]
[2,3,4,6,8,7,1,5] => [5,1,2]
[5,3,4,6,1,7,8,2] => [1,3,3,1]
[2,5,7,8,6,1,3,4] => [4,1,3]
[2,4,7,6,8,1,3,5] => [3,2,3]
[4,6,5,1,7,2,8,3] => [2,1,2,2,1]
[5,6,4,7,1,2,8,3] => [2,2,3,1]
[4,6,7,5,8,2,3,1] => [3,2,2,1]
[3,5,1,7,6,8,4,2] => [2,2,2,1,1]
[4,5,7,1,6,8,3,2] => [3,3,1,1]
[3,2,7,6,8,1,4,5] => [1,2,2,3]
[6,1,3,5,7,8,4,2] => [1,5,1,1]
[4,5,1,7,6,8,2,3] => [2,2,2,2]
[6,2,5,7,1,3,8,4] => [1,3,3,1]
[7,6,1,5,2,8,4,3] => [1,1,2,2,1,1]
[4,1,7,8,3,5,2,6] => [1,3,2,2]
[5,7,2,3,1,8,4,6] => [2,2,2,2]
[7,2,8,3,1,6,5,4] => [1,2,1,2,1,1]
[6,7,2,8,3,1,4,5] => [2,2,1,3]
[3,1,7,6,2,8,4,5] => [1,2,1,2,2]
[7,6,3,1,2,8,4,5] => [1,1,1,3,2]
[6,2,7,8,4,1,3,5] => [1,3,1,3]
[7,2,6,8,3,4,1,5] => [1,3,2,2]
[7,2,4,1,6,8,3,5] => [1,2,3,2]
[8,3,6,7,2,4,1,5] => [1,3,2,2]
[4,1,8,3,6,7,2,5] => [1,2,3,2]
[6,3,7,8,4,1,2,5] => [1,3,1,3]
[7,8,5,2,4,1,3,6] => [2,1,2,3]
[6,2,3,7,8,4,1,5] => [1,4,1,2]
[7,6,2,3,1,8,4,5] => [1,1,2,2,2]
[2,6,3,7,8,4,1,5] => [2,3,1,2]
[2,7,8,5,3,4,1,6] => [3,1,2,2]
[4,8,5,2,3,1,7,6] => [2,1,2,2,1]
[4,2,5,1,3,7,8,6] => [1,2,4,1]
[4,3,5,1,2,7,8,6] => [1,2,4,1]
[3,5,1,4,2,7,8,6] => [2,2,3,1]
[3,4,1,7,8,5,2,6] => [2,3,1,2]
[4,1,3,7,8,5,2,6] => [1,4,1,2]
[3,1,4,8,5,2,7,6] => [1,3,1,2,1]
[4,3,1,8,5,2,7,6] => [1,1,2,1,2,1]
[8,4,7,5,3,6,2,1] => [1,2,1,2,1,1]
[6,3,8,4,7,5,2,1] => [1,2,2,1,1,1]
[8,5,3,1,4,2,7,6] => [1,1,1,2,2,1]
[3,1,8,5,4,2,7,6] => [1,2,1,1,2,1]
[8,5,4,3,1,2,7,6] => [1,1,1,1,3,1]
[7,6,3,5,8,4,2,1] => [1,1,3,1,1,1]
[4,5,1,3,2,7,8,6] => [2,2,3,1]
[5,1,3,2,4,7,8,6] => [1,2,4,1]
[8,5,4,2,3,1,7,6] => [1,1,1,2,2,1]
[2,3,7,8,5,4,1,6] => [4,1,1,2]
[8,3,5,6,1,7,2,4] => [1,3,2,2]
[4,5,8,1,2,6,7,3] => [3,4,1]
[5,3,6,7,8,2,1,4] => [1,4,1,2]
[1,3,4,8,6,2,7,5] => [4,1,2,1]
[8,3,7,4,6,2,1,5] => [1,2,2,1,2]
[4,8,3,5,7,2,1,6] => [2,3,1,2]
[1,2,4,8,7,3,5,6] => [4,1,3]
[5,2,7,8,3,1,4,6] => [1,3,1,3]
[7,2,4,1,3,8,5,6] => [1,2,3,2]
[3,8,2,5,4,1,6,7] => [2,2,1,3]
[8,4,5,2,6,1,7,3] => [1,2,2,2,1]
[4,5,6,2,7,8,1,3] => [3,3,2]
[2,6,7,3,8,1,4,5] => [3,2,3]
[2,8,6,3,1,7,4,5] => [2,1,1,2,2]
[4,7,5,1,2,6,8,3] => [2,1,4,1]
[5,6,1,4,2,8,7,3] => [2,2,2,1,1]
[4,5,8,1,3,2,7,6] => [3,2,2,1]
[4,7,1,2,6,3,5,8] => [2,3,3]
[4,6,8,2,3,7,5,1] => [3,3,1,1]
[4,5,7,2,3,6,1,8] => [3,3,2]
[2,5,7,3,4,6,8,1] => [3,4,1]
[5,8,2,1,3,7,4,6] => [2,1,3,2]
[7,4,2,1,6,3,5,8] => [1,1,1,2,3]
[8,5,2,3,1,7,4,6] => [1,1,2,2,2]
[6,8,2,3,1,4,7,5] => [2,2,3,1]
[2,7,3,4,1,5,6,8] => [2,2,4]
[6,7,2,3,4,8,1,5] => [2,4,2]
[7,4,2,1,3,5,8,6] => [1,1,1,4,1]
[3,5,2,4,6,7,8,1] => [2,5,1]
[4,2,6,3,5,7,8,1] => [1,2,4,1]
[5,2,3,7,4,6,8,1] => [1,3,3,1]
[6,2,3,4,8,5,7,1] => [1,4,2,1]
[2,7,5,8,4,1,6,3] => [2,2,1,2,1]
[1,7,5,8,4,2,6,3] => [2,2,1,2,1]
[1,4,8,5,6,2,7,3] => [3,2,2,1]
[2,4,8,5,6,1,7,3] => [3,2,2,1]
[6,3,5,8,4,7,1,2] => [1,3,2,2]
[2,8,7,4,5,1,6,3] => [2,1,2,2,1]
[1,8,7,4,5,2,6,3] => [2,1,2,2,1]
[1,3,8,5,2,6,7,4] => [3,1,3,1]
[7,2,8,4,5,1,6,3] => [1,2,2,2,1]
[6,2,5,8,4,1,7,3] => [1,3,1,2,1]
[3,1,8,5,2,6,7,4] => [1,2,1,3,1]
[1,2,8,5,3,6,7,4] => [3,1,3,1]
[7,1,3,5,2,6,8,4] => [1,3,3,1]
[5,4,1,3,2,7,8,6] => [1,1,2,3,1]
[5,4,8,2,1,6,7,3] => [1,2,1,3,1]
[6,8,3,2,1,5,7,4] => [2,1,1,3,1]
[7,8,2,4,1,5,6,3] => [2,2,3,1]
[6,2,3,5,1,7,8,4] => [1,3,3,1]
[8,6,2,4,1,5,7,3] => [1,1,2,3,1]
[1,7,3,5,2,6,8,4] => [2,2,3,1]
[1,6,4,3,2,7,8,5] => [2,1,1,3,1]
[8,5,3,2,1,6,7,4] => [1,1,1,1,3,1]
[2,6,4,3,1,7,8,5] => [2,1,1,3,1]
[2,7,5,1,3,6,8,4] => [2,1,4,1]
[1,7,5,2,3,6,8,4] => [2,1,4,1]
[2,8,1,5,3,6,7,4] => [2,2,3,1]
[3,8,1,5,2,6,7,4] => [2,2,3,1]
[4,8,1,5,6,2,7,3] => [2,3,2,1]
[7,8,4,1,5,2,6,3] => [2,1,2,2,1]
[5,4,3,1,2,7,8,6] => [1,1,1,4,1]
[7,3,1,5,2,6,8,4] => [1,1,2,3,1]
[7,1,5,2,3,6,8,4] => [1,2,4,1]
[8,1,2,5,3,6,7,4] => [1,3,3,1]
[8,4,1,6,3,7,2,5] => [1,1,2,2,2]
[6,3,5,8,1,7,2,4] => [1,3,2,2]
[6,7,5,3,8,2,1,4] => [2,1,2,1,2]
[6,5,7,4,2,8,1,3] => [1,2,1,2,2]
[6,5,2,1,4,8,7,3] => [1,1,1,3,1,1]
[5,2,6,8,3,7,1,4] => [1,3,2,2]
[4,2,5,8,6,7,1,3] => [1,3,2,2]
[5,8,6,3,4,1,7,2] => [2,1,2,2,1]
[6,3,4,1,5,8,7,2] => [1,2,3,1,1]
[5,4,6,1,7,2,3,8] => [1,2,2,3]
[7,5,4,1,8,6,2,3] => [1,1,1,2,1,2]
[8,7,2,3,5,6,4,1] => [1,1,4,1,1]
[3,7,2,4,1,8,6,5] => [2,2,2,1,1]
[3,7,2,4,1,5,8,6] => [2,2,3,1]
[8,2,7,5,3,4,6,1] => [1,2,1,3,1]
[2,4,7,8,5,1,3,6] => [4,1,3]
[7,8,3,4,1,2,6,5] => [2,2,3,1]
[2,5,3,8,4,1,6,7] => [2,2,1,3]
[8,2,1,7,4,6,5,3] => [1,1,2,2,1,1]
[2,7,6,5,3,8,4,1] => [2,1,1,2,1,1]
[5,7,6,8,1,3,4,2] => [2,2,3,1]
[3,6,5,1,7,4,8,2] => [2,1,2,2,1]
[6,1,5,3,7,4,2,8] => [1,2,2,1,2]
[5,3,7,6,8,4,2,1] => [1,2,2,1,1,1]
[3,1,7,4,5,6,2,8] => [1,2,3,2]
[3,6,7,1,2,5,4,8] => [3,3,2]
[1,7,3,4,8,2,6,5] => [2,3,2,1]
[8,5,7,4,2,3,1,6] => [1,2,1,2,2]
[2,6,5,4,8,3,7,1] => [2,1,2,2,1]
[2,4,8,3,5,7,1,6] => [3,3,2]
[8,1,7,2,4,3,5,6] => [1,2,2,3]
[1,3,8,2,4,7,5,6] => [3,3,2]
[1,3,7,2,4,6,5,8] => [3,3,2]
[1,7,3,2,4,6,5,8] => [2,1,3,2]
[1,8,3,7,4,2,5,6] => [2,2,1,3]
[8,7,3,1,4,2,5,6] => [1,1,1,2,3]
[2,8,4,3,5,7,1,6] => [2,1,3,2]
[3,2,8,7,4,1,5,6] => [1,2,1,1,3]
[3,2,1,7,4,6,5,8] => [1,1,2,2,2]
[3,2,6,5,1,7,8,4] => [1,2,1,3,1]
[5,3,2,6,7,1,8,4] => [1,1,3,2,1]
[3,2,8,6,7,4,1,5] => [1,2,2,1,2]
[8,4,6,2,7,3,1,5] => [1,2,2,1,2]
[4,3,8,6,7,2,1,5] => [1,2,2,1,2]
[4,3,6,2,8,7,1,5] => [1,2,2,1,2]
[3,8,4,7,6,5,1,2] => [2,2,1,1,2]
[7,8,4,2,6,3,5,1] => [2,1,2,2,1]
[3,2,7,8,6,4,5,1] => [1,3,1,2,1]
[3,2,7,5,6,8,4,1] => [1,2,3,1,1]
[5,7,8,6,3,2,4,1] => [3,1,1,2,1]
[6,5,4,2,1,7,8,3] => [1,1,1,1,3,1]
[5,4,2,1,7,6,3,8] => [1,1,1,2,1,2]
[4,1,6,5,2,7,8,3] => [1,2,1,3,1]
[5,4,1,6,7,2,8,3] => [1,1,3,2,1]
[6,8,5,3,1,7,2,4] => [2,1,1,2,2]
[5,2,6,3,8,7,1,4] => [1,2,2,1,2]
[8,6,1,7,3,4,2,5] => [1,1,2,2,2]
[1,8,3,6,7,4,2,5] => [2,3,1,2]
[1,6,3,5,2,7,8,4] => [2,2,3,1]
[1,5,7,3,2,6,4,8] => [3,1,2,2]
[5,1,3,7,2,6,4,8] => [1,3,2,2]
[8,1,6,7,2,4,3,5] => [1,3,2,2]
[6,1,4,8,2,7,3,5] => [1,3,2,2]
[6,2,4,8,3,7,1,5] => [1,3,2,2]
[8,7,2,6,3,5,1,4] => [1,1,2,2,2]
[8,1,7,6,5,2,3,4] => [1,2,1,1,3]
[7,1,5,6,8,2,4,3] => [1,4,2,1]
[6,7,1,5,2,4,8,3] => [2,2,3,1]
[7,6,1,5,2,4,3,8] => [1,1,2,2,2]
[7,1,6,3,5,4,2,8] => [1,2,2,1,2]
[1,6,7,3,5,4,8,2] => [3,2,2,1]
[1,7,3,5,6,8,4,2] => [2,4,1,1]
[1,7,8,3,6,4,5,2] => [3,2,2,1]
[1,8,7,6,4,5,2,3] => [2,1,1,2,2]
[8,2,7,4,6,5,1,3] => [1,2,2,1,2]
[2,8,5,7,6,4,1,3] => [2,2,1,1,2]
[7,4,5,1,6,8,3,2] => [1,2,3,1,1]
[4,1,7,5,6,8,3,2] => [1,2,3,1,1]
[5,6,7,4,3,1,8,2] => [3,1,1,2,1]
[6,7,8,5,3,1,4,2] => [3,1,1,2,1]
[1,4,6,2,5,3,7,8] => [3,2,3]
[1,6,3,2,5,4,7,8] => [2,1,2,3]
[1,6,8,2,5,4,7,3] => [3,2,2,1]
[1,5,4,2,6,3,7,8] => [2,1,2,3]
[1,2,6,4,3,5,7,8] => [3,1,4]
[1,6,8,2,7,5,4,3] => [3,2,1,1,1]
[1,7,4,3,2,6,8,5] => [2,1,1,3,1]
[1,5,4,7,2,6,8,3] => [2,2,3,1]
[1,3,7,6,2,8,5,4] => [3,1,2,1,1]
[1,7,6,2,8,4,3,5] => [2,1,2,1,2]
[1,5,2,8,4,3,7,6] => [2,2,1,2,1]
[1,2,8,4,3,6,5,7] => [3,1,2,2]
[1,2,8,5,6,3,4,7] => [3,2,3]
[1,7,3,5,2,8,6,4] => [2,2,2,1,1]
[1,6,7,2,5,8,4,3] => [3,3,1,1]
[1,5,8,3,2,7,4,6] => [3,1,2,2]
[1,4,5,8,2,6,3,7] => [4,2,2]
[1,7,6,4,8,2,5,3] => [2,1,2,2,1]
[1,4,8,6,5,2,7,3] => [3,1,1,2,1]
[1,3,8,2,6,5,4,7] => [3,2,1,2]
[1,7,6,3,8,2,4,5] => [2,1,2,3]
[1,5,2,7,6,4,8,3] => [2,2,1,2,1]
[1,2,4,3,8,7,5,6] => [3,2,1,2]
[1,4,3,8,7,2,5,6] => [2,2,1,3]
[1,3,8,6,2,4,5,7] => [3,1,4]
[1,3,8,5,4,2,6,7] => [3,1,1,3]
[1,7,2,4,8,6,5,3] => [2,3,1,1,1]
[1,6,5,3,2,8,7,4] => [2,1,1,2,1,1]
[1,3,2,8,7,5,4,6] => [2,2,1,1,2]
[1,2,8,6,5,4,3,7] => [3,1,1,1,2]
[8,1,3,4,6,5,2,7] => [1,4,1,2]
[8,3,1,4,6,5,2,7] => [1,1,3,1,2]
[5,8,3,1,2,6,4,7] => [2,1,3,2]
[4,8,1,7,5,2,3,6] => [2,2,1,3]
[4,8,1,7,5,2,6,3] => [2,2,1,2,1]
[8,5,1,4,2,6,3,7] => [1,1,2,2,2]
[8,4,1,3,5,6,2,7] => [1,1,4,2]
[8,5,3,2,1,6,4,7] => [1,1,1,1,2,2]
[8,1,5,4,2,6,3,7] => [1,2,1,2,2]
[8,5,2,4,1,6,3,7] => [1,1,2,2,2]
[4,8,7,1,5,2,6,3] => [2,1,2,2,1]
[4,8,7,1,5,2,3,6] => [2,1,2,3]
[7,6,8,4,1,3,2,5] => [1,2,1,2,2]
[7,6,8,4,1,3,5,2] => [1,2,1,3,1]
[3,8,7,5,4,1,2,6] => [2,1,1,1,3]
[4,8,2,7,5,1,3,6] => [2,2,1,3]
[7,6,8,4,1,5,2,3] => [1,2,1,2,2]
[8,7,6,1,5,2,3,4] => [1,1,1,2,3]
[7,1,4,8,6,3,5,2] => [1,3,1,2,1]
[8,1,6,5,3,4,7,2] => [1,2,1,3,1]
[8,6,2,5,3,4,7,1] => [1,1,2,3,1]
[8,6,5,1,3,4,7,2] => [1,1,1,4,1]
[8,7,5,1,3,6,2,4] => [1,1,1,3,2]
[8,7,1,5,3,6,2,4] => [1,1,2,2,2]
[8,6,1,3,5,4,7,2] => [1,1,3,2,1]
[7,1,4,8,3,6,5,2] => [1,3,2,1,1]
[7,8,5,2,4,3,6,1] => [2,1,2,2,1]
[7,3,8,2,5,4,6,1] => [1,2,2,2,1]
[8,4,2,5,3,7,6,1] => [1,1,2,2,1,1]
[4,8,1,5,3,7,6,2] => [2,2,2,1,1]
[7,4,8,2,6,3,5,1] => [1,2,2,2,1]
[7,4,8,2,6,3,1,5] => [1,2,2,1,2]
[8,7,3,1,6,4,2,5] => [1,1,1,2,1,2]
[8,7,3,1,6,4,5,2] => [1,1,1,2,2,1]
[8,7,3,1,4,6,5,2] => [1,1,1,3,1,1]
[8,4,3,2,7,5,6,1] => [1,1,1,2,2,1]
[6,4,1,7,8,5,3,2] => [1,1,3,1,1,1]
[7,6,3,4,1,8,5,2] => [1,1,2,2,1,1]
[8,7,3,1,6,2,5,4] => [1,1,1,2,2,1]
[7,8,6,4,2,5,1,3] => [2,1,1,2,2]
[7,8,2,4,6,5,1,3] => [2,3,1,2]
[8,1,7,3,5,6,2,4] => [1,2,3,2]
[8,7,5,2,4,6,1,3] => [1,1,1,3,2]
[8,1,7,5,4,6,2,3] => [1,2,1,2,2]
[8,7,3,2,6,1,5,4] => [1,1,1,2,2,1]
[5,3,1,7,6,4,2,8] => [1,1,2,1,1,2]
[7,5,3,2,1,6,4,8] => [1,1,1,1,2,2]
[7,6,5,3,1,4,2,8] => [1,1,1,1,2,2]
[1,8,6,4,3,2,7,5] => [2,1,1,1,2,1]
[1,8,7,6,4,2,5,3] => [2,1,1,1,2,1]
[8,4,6,7,5,3,2,1] => [1,3,1,1,1,1]
[1,4,8,6,7,5,3,2] => [3,2,1,1,1]
[7,3,8,5,6,4,2,1] => [1,2,2,1,1,1]
[7,8,2,5,6,4,3,1] => [2,3,1,1,1]
[7,6,2,5,8,4,3,1] => [1,1,3,1,1,1]
[1,7,3,6,8,5,4,2] => [2,3,1,1,1]
[8,6,2,5,7,4,3,1] => [1,1,3,1,1,1]
[7,1,3,6,8,5,4,2] => [1,4,1,1,1]
[1,8,3,6,7,5,4,2] => [2,3,1,1,1]
[1,8,2,7,5,6,4,3] => [2,2,2,1,1]
[7,8,1,6,4,5,3,2] => [2,2,2,1,1]
[7,6,1,8,4,5,3,2] => [1,1,2,2,1,1]
[8,6,1,7,4,5,3,2] => [1,1,2,2,1,1]
[7,2,8,6,4,5,3,1] => [1,2,1,2,1,1]
[8,1,7,6,4,5,3,2] => [1,2,1,2,1,1]
[7,1,8,6,4,5,3,2] => [1,2,1,2,1,1]
[1,6,2,5,4,3,7,8] => [2,2,1,3]
[1,6,2,7,4,5,3,8] => [2,2,2,2]
[1,7,2,6,4,5,3,8] => [2,2,2,2]
[1,7,2,8,4,3,6,5] => [2,2,1,2,1]
[1,8,2,6,4,3,5,7] => [2,2,1,3]
[1,7,2,6,4,3,5,8] => [2,2,1,3]
[1,6,2,7,4,3,5,8] => [2,2,1,3]
[1,7,2,5,4,6,3,8] => [2,2,2,2]
[1,8,2,5,4,6,3,7] => [2,2,2,2]
[1,2,8,3,4,7,5,6] => [3,3,2]
[8,1,2,3,7,6,4,5] => [1,4,1,2]
[6,5,7,2,3,1,8,4] => [1,2,2,2,1]
[6,5,7,2,8,3,4,1] => [1,2,2,2,1]
[6,5,7,2,8,1,4,3] => [1,2,2,2,1]
[6,2,7,5,8,1,4,3] => [1,2,2,2,1]
[6,7,2,5,8,1,4,3] => [2,3,2,1]
[6,7,3,5,8,1,4,2] => [2,3,2,1]
[7,3,6,8,2,4,1,5] => [1,3,2,2]
[6,7,3,5,8,2,4,1] => [2,3,2,1]
[6,3,7,2,4,1,8,5] => [1,2,2,2,1]
[6,3,7,5,8,1,4,2] => [1,2,2,2,1]
[6,5,7,3,8,1,4,2] => [1,2,2,2,1]
[6,3,7,4,8,2,5,1] => [1,2,2,2,1]
[6,3,7,4,8,1,5,2] => [1,2,2,2,1]
[6,2,7,4,8,3,5,1] => [1,2,2,2,1]
[6,2,7,4,8,1,5,3] => [1,2,2,2,1]
[8,7,6,4,2,5,3,1] => [1,1,1,1,2,1,1]
[8,7,4,6,2,3,5,1] => [1,1,2,3,1]
[6,8,4,5,7,3,2,1] => [2,3,1,1,1]
[4,8,7,1,6,3,5,2] => [2,1,2,2,1]
[5,6,4,2,1,7,8,3] => [2,1,1,3,1]
[6,7,5,1,4,3,8,2] => [2,1,2,2,1]
[6,8,5,1,4,3,7,2] => [2,1,2,2,1]
[5,6,4,2,1,8,7,3] => [2,1,1,2,1,1]
[7,8,5,1,4,3,6,2] => [2,1,2,2,1]
[2,7,6,8,3,5,1,4] => [2,2,2,2]
[6,1,7,8,4,3,5,2] => [1,3,1,2,1]
[2,7,8,6,4,5,3,1] => [3,1,2,1,1]
[4,8,5,6,2,3,1,7] => [2,2,2,2]
[2,6,8,1,3,5,4,7] => [3,3,2]
[5,2,1,3,6,8,4,7] => [1,1,4,2]
[5,2,3,1,8,7,4,6] => [1,2,2,1,2]
[7,2,1,5,3,8,6,4] => [1,1,2,2,1,1]
[3,2,7,1,6,8,5,4] => [1,2,3,1,1]
[5,8,2,7,6,1,3,4] => [2,2,1,3]
[3,6,8,7,4,5,2,1] => [3,1,2,1,1]
[8,6,7,1,3,5,2,4] => [1,2,3,2]
[5,2,1,3,6,7,4,8] => [1,1,4,2]
[7,2,1,8,6,3,5,4] => [1,1,2,1,2,1]
[3,2,4,8,1,7,6,5] => [1,3,2,1,1]
[6,2,7,1,4,8,3,5] => [1,2,3,2]
[4,3,6,8,7,2,1,5] => [1,3,1,1,2]
[4,2,3,1,7,5,6,8] => [1,2,2,3]
[5,1,8,7,3,4,2,6] => [1,2,1,2,2]
[6,2,8,1,4,7,3,5] => [1,2,3,2]
[8,2,3,6,7,1,4,5] => [1,4,3]
[8,2,3,1,4,7,5,6] => [1,2,3,2]
[4,2,3,1,5,8,6,7] => [1,2,3,2]
[2,4,8,7,5,3,1,6] => [3,1,1,1,2]
[2,6,8,7,5,3,4,1] => [3,1,1,2,1]
[2,6,5,1,4,3,8,7] => [2,1,2,2,1]
[6,5,1,2,4,3,8,7] => [1,1,3,2,1]
[4,6,5,3,1,2,8,7] => [2,1,1,3,1]
[4,8,7,5,3,1,2,6] => [2,1,1,1,3]
[4,6,8,7,5,3,1,2] => [3,1,1,1,2]
[6,8,7,5,3,1,4,2] => [2,1,1,1,2,1]
[8,7,5,6,3,1,4,2] => [1,1,2,1,2,1]
[8,7,3,4,6,5,1,2] => [1,1,3,1,2]
[2,1,4,8,7,3,6,5] => [1,3,1,2,1]
[4,8,7,3,1,2,6,5] => [2,1,1,3,1]
[8,7,3,4,1,2,6,5] => [1,1,2,3,1]
[8,7,3,1,6,5,2,4] => [1,1,1,2,1,2]
[8,7,3,2,6,5,1,4] => [1,1,1,2,1,2]
[2,8,7,3,4,6,5,1] => [2,1,3,1,1]
[2,8,7,3,6,5,1,4] => [2,1,2,1,2]
[2,8,7,1,6,5,3,4] => [2,1,2,1,2]
[8,7,1,2,6,5,3,4] => [1,1,3,1,2]
[8,7,1,2,4,3,6,5] => [1,1,3,2,1]
[2,1,8,7,3,4,6,5] => [1,2,1,3,1]
[8,7,5,1,2,4,3,6] => [1,1,1,3,2]
[2,8,7,1,4,3,6,5] => [2,1,2,2,1]
[2,8,7,3,4,1,6,5] => [2,1,2,2,1]
[2,8,7,5,6,3,4,1] => [2,1,2,2,1]
[2,4,8,7,3,1,6,5] => [3,1,1,2,1]
[2,8,7,3,1,4,6,5] => [2,1,1,3,1]
[2,4,3,1,8,7,5,6] => [2,1,2,1,2]
[4,3,1,2,6,8,7,5] => [1,1,4,1,1]
[2,8,7,5,6,3,1,4] => [2,1,2,1,2]
[2,8,7,5,3,1,6,4] => [2,1,1,1,2,1]
[2,8,7,5,3,6,4,1] => [2,1,1,2,1,1]
[2,8,7,5,6,1,4,3] => [2,1,2,2,1]
[2,6,8,7,5,1,4,3] => [3,1,1,2,1]
[6,8,7,5,1,2,4,3] => [2,1,1,3,1]
[8,7,5,6,1,2,4,3] => [1,1,2,3,1]
[8,7,1,2,4,6,5,3] => [1,1,4,1,1]
[2,4,8,7,3,6,5,1] => [3,1,2,1,1]
[8,7,2,4,3,6,5,1] => [1,1,2,2,1,1]
[4,8,7,1,2,6,5,3] => [2,1,3,1,1]
[8,7,5,3,1,2,6,4] => [1,1,1,1,3,1]
[8,7,5,3,6,4,1,2] => [1,1,1,2,1,2]
[8,7,1,4,3,6,5,2] => [1,1,2,2,1,1]
[8,7,3,4,1,6,5,2] => [1,1,2,2,1,1]
[7,1,2,3,5,4,6,8] => [1,4,3]
[7,1,2,6,4,5,3,8] => [1,3,2,2]
[7,1,2,4,3,5,6,8] => [1,3,4]
[4,7,3,6,5,1,2,8] => [2,2,1,3]
[5,2,6,3,7,1,4,8] => [1,2,2,3]
[6,5,4,1,3,8,7,2] => [1,1,1,3,1,1]
[7,5,4,2,8,3,1,6] => [1,1,1,2,1,2]
[2,5,8,6,1,4,3,7] => [3,1,2,2]
[8,3,6,1,5,2,4,7] => [1,2,2,3]
[3,1,6,8,5,7,2,4] => [1,3,2,2]
[4,6,1,8,2,5,7,3] => [2,2,3,1]
[2,5,6,1,8,4,7,3] => [3,2,2,1]
[2,6,5,1,8,4,7,3] => [2,1,2,2,1]
[7,5,4,1,2,8,6,3] => [1,1,1,3,1,1]
[5,7,2,1,8,4,6,3] => [2,1,2,2,1]
[8,4,2,7,1,5,3,6] => [1,1,2,2,2]
[7,2,8,6,4,3,1,5] => [1,2,1,1,1,2]
[6,3,8,7,4,2,1,5] => [1,2,1,1,1,2]
[7,6,3,2,8,4,1,5] => [1,1,1,2,1,2]
[7,2,8,5,3,1,4,6] => [1,2,1,1,3]
[4,7,2,8,3,1,5,6] => [2,2,1,3]
[8,6,1,3,2,4,5,7] => [1,1,2,4]
[5,8,3,7,4,2,1,6] => [2,2,1,1,2]
[4,1,7,3,5,8,6,2] => [1,2,3,1,1]
[8,4,7,3,5,2,1,6] => [1,2,2,1,2]
[5,4,8,1,3,2,6,7] => [1,2,2,3]
[4,5,8,2,1,3,6,7] => [3,1,4]
[8,1,3,5,2,4,6,7] => [1,3,4]
[1,8,3,5,7,2,4,6] => [2,3,3]
[8,1,4,7,3,2,6,5] => [1,3,1,2,1]
[5,8,1,3,2,7,6,4] => [2,2,2,1,1]
[5,3,7,1,2,8,6,4] => [1,2,3,1,1]
[6,5,1,3,8,2,7,4] => [1,1,3,2,1]
[1,7,3,8,6,2,4,5] => [2,2,1,3]
[8,6,2,1,3,7,5,4] => [1,1,1,3,1,1]
[8,1,4,2,7,6,3,5] => [1,2,2,1,2]
[1,8,7,4,6,2,5,3] => [2,1,2,2,1]
[1,8,5,7,2,6,4,3] => [2,2,2,1,1]
[1,5,7,3,6,8,2,4] => [3,3,2]
[8,4,6,2,5,7,1,3] => [1,2,3,2]
[1,3,4,7,6,8,2,5] => [4,2,2]
[8,1,3,6,7,4,2,5] => [1,4,1,2]
[1,2,4,7,8,5,3,6] => [5,1,2]
[3,1,4,7,6,8,2,5] => [1,3,2,2]
[4,1,3,7,6,8,2,5] => [1,3,2,2]
[5,1,7,3,6,8,2,4] => [1,2,3,2]
[6,7,8,2,4,5,1,3] => [3,3,2]
[5,8,6,2,4,7,1,3] => [2,1,3,2]
[3,8,2,6,5,7,1,4] => [2,2,2,2]
[2,8,3,6,7,4,1,5] => [2,3,1,2]
[8,7,2,5,6,3,1,4] => [1,1,3,1,2]
[8,7,1,6,4,3,2,5] => [1,1,2,1,1,2]
[1,8,2,7,5,4,3,6] => [2,2,1,1,2]
[3,8,1,7,5,4,2,6] => [2,2,1,1,2]
[5,8,6,1,7,3,2,4] => [2,1,2,1,2]
[6,7,1,2,8,4,3,5] => [2,3,1,2]
[2,1,3,8,6,5,4,7] => [1,3,1,1,2]
[8,2,1,7,5,4,3,6] => [1,1,2,1,1,2]
[1,3,2,8,6,5,4,7] => [2,2,1,1,2]
[3,4,1,7,6,8,2,5] => [2,2,2,2]
[2,5,7,1,8,4,3,6] => [3,2,1,2]
[3,5,7,1,6,8,2,4] => [3,3,2]
[4,5,7,6,1,8,2,3] => [3,1,2,2]
[5,4,7,6,8,3,1,2] => [1,2,2,1,2]
[1,5,7,8,6,3,2,4] => [4,1,1,2]
[8,4,6,7,5,2,1,3] => [1,3,1,1,2]
[8,3,7,5,6,2,1,4] => [1,2,2,1,2]
[1,4,8,6,7,3,2,5] => [3,2,1,2]
[2,4,8,6,7,3,1,5] => [3,2,1,2]
[5,2,7,8,6,3,1,4] => [1,3,1,1,2]
[2,3,8,7,5,4,1,6] => [3,1,1,1,2]
[1,3,8,7,5,4,2,6] => [3,1,1,1,2]
[8,2,7,6,4,3,1,5] => [1,2,1,1,1,2]
[8,1,7,6,4,3,2,5] => [1,2,1,1,1,2]
[4,1,8,6,7,3,2,5] => [1,2,2,1,2]
[4,8,7,5,6,2,1,3] => [2,1,2,1,2]
[5,6,8,1,7,4,3,2] => [3,2,1,1,1]
[4,1,8,7,3,6,5,2] => [1,2,1,2,1,1]
[5,6,8,4,1,7,3,2] => [3,1,2,1,1]
[4,5,8,7,3,1,6,2] => [3,1,1,2,1]
[3,1,8,4,7,6,5,2] => [1,2,2,1,1,1]
[1,5,8,4,3,7,6,2] => [3,1,2,1,1]
[8,1,7,2,5,6,4,3] => [1,2,3,1,1]
[8,1,3,5,2,7,6,4] => [1,3,2,1,1]
[2,7,1,5,4,8,6,3] => [2,2,2,1,1]
[8,6,2,4,3,7,5,1] => [1,1,2,2,1,1]
[2,4,1,6,7,5,8,3] => [2,3,2,1]
[8,1,4,5,6,3,7,2] => [1,4,2,1]
[8,1,4,5,6,2,7,3] => [1,4,2,1]
[8,1,4,7,6,2,5,3] => [1,3,1,2,1]
[2,5,1,7,8,6,4,3] => [2,3,1,1,1]
[3,5,6,2,8,7,4,1] => [3,2,1,1,1]
[2,4,5,1,7,6,3,8] => [3,2,1,2]
[7,3,1,5,6,4,2,8] => [1,1,3,1,2]
[8,3,2,5,6,7,1,4] => [1,1,4,2]
[8,4,5,3,7,6,2,1] => [1,2,2,1,1,1]
[3,4,5,6,2,8,1,7] => [4,2,2]
[3,7,4,2,8,5,1,6] => [2,1,2,1,2]
[7,3,4,1,6,8,2,5] => [1,2,3,2]
[2,6,3,1,4,7,5,8] => [2,1,3,2]
[7,2,1,6,3,4,8,5] => [1,1,2,3,1]
[7,3,4,1,6,5,8,2] => [1,2,2,2,1]
[3,7,4,2,5,8,6,1] => [2,1,3,1,1]
[2,3,5,1,4,8,7,6] => [3,3,1,1]
[2,7,1,3,6,8,5,4] => [2,4,1,1]
[2,7,1,3,8,4,6,5] => [2,3,2,1]
[3,8,7,1,6,2,5,4] => [2,1,2,2,1]
[3,8,7,1,4,5,2,6] => [2,1,3,2]
[3,7,4,2,1,8,6,5] => [2,1,1,2,1,1]
[4,8,5,7,2,6,3,1] => [2,2,2,1,1]
[8,4,5,7,3,2,6,1] => [1,3,1,2,1]
[8,3,7,2,4,1,5,6] => [1,2,2,3]
[8,6,7,2,1,4,3,5] => [1,2,1,2,2]
[8,3,7,5,1,2,6,4] => [1,2,1,3,1]
[7,3,4,6,2,1,5,8] => [1,3,1,3]
[3,7,4,6,1,5,2,8] => [2,2,2,2]
[3,4,7,6,1,2,8,5] => [3,1,3,1]
[4,5,8,7,6,1,3,2] => [3,1,1,2,1]
[8,3,6,7,2,5,1,4] => [1,3,2,2]
[8,5,7,2,6,4,1,3] => [1,2,2,1,2]
[8,6,3,7,5,1,4,2] => [1,1,2,1,2,1]
[7,3,8,2,5,6,1,4] => [1,2,3,2]
[8,7,3,5,6,1,4,2] => [1,1,3,2,1]
[7,6,3,8,1,4,5,2] => [1,1,2,3,1]
[8,5,2,7,6,1,3,4] => [1,1,2,1,3]
[8,7,3,1,4,5,2,6] => [1,1,1,3,2]
[6,4,7,2,1,5,8,3] => [1,2,1,3,1]
[8,4,2,5,1,6,7,3] => [1,1,2,3,1]
[8,5,3,1,6,4,7,2] => [1,1,1,2,2,1]
[8,7,3,1,4,5,6,2] => [1,1,1,4,1]
[8,7,4,1,5,6,2,3] => [1,1,1,3,2]
[8,6,4,1,7,5,2,3] => [1,1,1,2,1,2]
[8,6,3,1,7,4,5,2] => [1,1,1,2,2,1]
[8,5,3,1,6,7,4,2] => [1,1,1,3,1,1]
[8,5,3,7,1,6,4,2] => [1,1,2,2,1,1]
[7,6,3,8,1,4,2,5] => [1,1,2,2,2]
[7,4,8,2,6,1,5,3] => [1,2,2,2,1]
[6,4,7,3,1,5,2,8] => [1,2,1,2,2]
[7,4,5,3,1,2,8,6] => [1,2,1,3,1]
[8,5,3,6,1,2,7,4] => [1,1,2,3,1]
[5,6,3,2,1,7,4,8] => [2,1,1,2,2]
[8,5,3,1,6,4,2,7] => [1,1,1,2,1,2]
[8,7,4,1,5,2,3,6] => [1,1,1,2,3]
[8,7,5,1,2,6,3,4] => [1,1,1,3,2]
[8,6,4,1,2,7,5,3] => [1,1,1,3,1,1]
[8,7,4,1,2,5,3,6] => [1,1,1,3,2]
[8,7,5,1,2,3,6,4] => [1,1,1,4,1]
[6,5,3,7,4,2,1,8] => [1,1,2,1,1,2]
[1,6,3,8,4,2,5,7] => [2,2,1,3]
[4,7,2,5,3,6,1,8] => [2,2,2,2]
[1,8,3,4,5,2,6,7] => [2,3,3]
[1,8,6,4,2,5,3,7] => [2,1,1,2,2]
[8,2,6,4,1,5,7,3] => [1,2,1,3,1]
[7,8,3,4,6,1,5,2] => [2,3,2,1]
[4,8,7,5,3,1,6,2] => [2,1,1,1,2,1]
[6,1,4,8,3,2,5,7] => [1,3,1,3]
[4,1,8,5,3,2,6,7] => [1,2,1,1,3]
[8,1,6,4,2,7,3,5] => [1,2,1,2,2]
[3,1,7,4,2,5,8,6] => [1,2,1,3,1]
[1,2,7,4,3,5,6,8] => [3,1,4]
[6,1,8,5,2,4,3,7] => [1,2,1,2,2]
[6,8,2,5,1,4,7,3] => [2,2,3,1]
[4,5,2,1,6,8,7,3] => [2,1,3,1,1]
[7,2,8,6,5,1,4,3] => [1,2,1,1,2,1]
[7,4,8,6,1,5,3,2] => [1,2,1,2,1,1]
[8,7,2,6,1,4,5,3] => [1,1,2,3,1]
[1,7,8,6,2,4,3,5] => [3,1,2,2]
[7,6,3,1,2,5,4,8] => [1,1,1,3,2]
[8,5,3,1,2,4,7,6] => [1,1,1,4,1]
[8,2,1,6,5,3,4,7] => [1,1,2,1,3]
[3,8,1,5,6,2,4,7] => [2,3,3]
[6,8,4,1,5,2,3,7] => [2,1,2,3]
[3,2,8,1,6,4,5,7] => [1,2,2,3]
[5,2,1,3,7,6,4,8] => [1,1,3,1,2]
[5,4,1,2,8,3,7,6] => [1,1,3,2,1]
[5,8,4,1,2,3,7,6] => [2,1,4,1]
[7,1,2,5,3,4,6,8] => [1,3,4]
[1,6,7,3,2,8,4,5] => [3,1,2,2]
[1,8,6,3,2,7,4,5] => [2,1,1,2,2]
[1,5,3,7,2,8,4,6] => [2,2,2,2]
[1,5,7,3,8,2,4,6] => [3,2,3]
[1,4,6,2,8,5,3,7] => [3,2,1,2]
[1,8,5,2,6,4,3,7] => [2,1,2,1,2]
[1,8,6,2,7,4,5,3] => [2,1,2,2,1]
[1,5,6,2,8,4,3,7] => [3,2,1,2]
[2,4,6,3,1,7,5,8] => [3,1,2,2]
[2,3,6,1,8,7,4,5] => [3,2,1,2]
[3,4,8,6,5,7,2,1] => [3,1,2,1,1]
[1,2,5,7,4,3,6,8] => [4,1,3]
[1,2,5,7,4,6,8,3] => [4,3,1]
[3,5,8,6,1,7,2,4] => [3,1,2,2]
[2,3,6,8,1,7,4,5] => [4,2,2]
[2,3,7,1,8,6,4,5] => [3,2,1,2]
[1,4,3,6,7,8,2,5] => [2,4,2]
[2,6,1,7,8,5,3,4] => [2,3,1,2]
[2,4,8,5,6,7,1,3] => [3,3,2]
[1,4,8,5,6,7,3,2] => [3,3,1,1]
[3,5,8,6,2,7,4,1] => [3,1,2,1,1]
[7,8,2,5,1,6,4,3] => [2,2,2,1,1]
[7,8,1,4,6,3,5,2] => [2,3,2,1]
[1,2,4,7,3,6,8,5] => [4,3,1]
[1,2,5,7,4,6,3,8] => [4,2,2]
[3,2,1,6,8,4,7,5] => [1,1,3,2,1]
[4,8,3,1,6,5,7,2] => [2,1,2,2,1]
[6,2,5,8,3,1,7,4] => [1,3,1,2,1]
[1,6,8,5,4,2,7,3] => [3,1,1,2,1]
[6,5,8,4,2,1,7,3] => [1,2,1,1,2,1]
[1,7,8,6,5,4,2,3] => [3,1,1,1,2]
[6,8,7,4,5,1,3,2] => [2,1,2,2,1]
[6,1,3,5,4,2,8,7] => [1,3,1,2,1]
[3,6,4,2,5,1,8,7] => [2,1,2,2,1]
[2,8,5,7,6,1,4,3] => [2,2,1,2,1]
[2,1,5,8,6,4,7,3] => [1,3,1,2,1]
[4,2,8,5,6,3,7,1] => [1,2,2,2,1]
[5,3,7,2,6,8,4,1] => [1,2,3,1,1]
[8,7,4,6,1,3,5,2] => [1,1,2,3,1]
[5,7,2,3,4,6,8,1] => [2,5,1]
[1,3,8,2,7,5,6,4] => [3,2,2,1]
[1,8,7,3,2,5,6,4] => [2,1,1,3,1]
[5,7,1,2,3,8,6,4] => [2,4,1,1]
[4,7,6,2,1,8,5,3] => [2,1,1,2,1,1]
[4,2,7,1,6,8,5,3] => [1,2,3,1,1]
[4,2,1,7,6,8,5,3] => [1,1,2,2,1,1]
[4,1,2,7,5,8,6,3] => [1,3,2,1,1]
[6,3,4,7,8,1,5,2] => [1,4,2,1]
[6,7,8,3,4,1,5,2] => [3,2,2,1]
[1,7,8,4,2,5,6,3] => [3,1,3,1]
[1,3,2,8,7,5,6,4] => [2,2,1,2,1]
[3,1,2,8,5,7,6,4] => [1,3,2,1,1]
[7,6,8,4,2,1,5,3] => [1,2,1,1,2,1]
[7,1,8,5,2,3,6,4] => [1,2,1,3,1]
[6,8,7,4,3,1,5,2] => [2,1,1,1,2,1]
[7,8,6,2,4,1,5,3] => [2,1,2,2,1]
[3,6,7,4,2,5,8,1] => [3,1,3,1]
[7,2,8,4,6,1,5,3] => [1,2,2,2,1]
[2,8,6,3,1,7,5,4] => [2,1,1,2,1,1]
[3,6,4,7,2,5,8,1] => [2,2,3,1]
[3,4,6,2,7,5,8,1] => [3,2,2,1]
[2,4,7,1,8,6,5,3] => [3,2,1,1,1]
[7,4,2,6,8,1,5,3] => [1,1,3,2,1]
[7,4,6,2,8,1,5,3] => [1,2,2,2,1]
[7,1,5,8,2,3,6,4] => [1,3,3,1]
[7,6,4,8,2,1,5,3] => [1,1,2,1,2,1]
[1,7,4,8,2,5,6,3] => [2,2,3,1]
[7,5,6,1,2,4,3,8] => [1,2,3,2]
[6,1,8,4,2,3,5,7] => [1,2,1,4]
[7,1,6,3,8,5,4,2] => [1,2,2,1,1,1]
[7,3,6,2,1,8,5,4] => [1,2,1,2,1,1]
[7,4,6,2,1,8,5,3] => [1,2,1,2,1,1]
[7,2,4,3,1,6,8,5] => [1,2,1,3,1]
[7,2,3,1,6,4,8,5] => [1,2,2,2,1]
[6,1,8,2,5,4,3,7] => [1,2,2,1,2]
[1,5,8,7,3,4,6,2] => [3,1,3,1]
[6,5,2,3,8,1,4,7] => [1,1,3,3]
[2,1,8,6,3,4,5,7] => [1,2,1,4]
[1,8,6,4,2,5,7,3] => [2,1,1,3,1]
[5,6,2,1,8,4,7,3] => [2,1,2,2,1]
[2,4,1,8,7,5,3,6] => [2,2,1,1,2]
[2,8,1,6,5,7,3,4] => [2,2,2,2]
[2,4,8,1,7,5,6,3] => [3,2,2,1]
[5,2,1,4,8,3,7,6] => [1,1,3,2,1]
[5,1,6,4,3,8,7,2] => [1,2,1,2,1,1]
[6,5,4,7,3,1,8,2] => [1,1,2,1,2,1]
[6,2,3,1,4,8,5,7] => [1,2,3,2]
[5,2,1,8,4,7,6,3] => [1,1,2,2,1,1]
[5,4,6,8,1,3,7,2] => [1,3,3,1]
[6,7,5,1,3,4,8,2] => [2,1,4,1]
[6,7,5,3,2,1,8,4] => [2,1,1,1,2,1]
[3,7,1,6,4,5,8,2] => [2,2,3,1]
[3,1,6,7,2,5,4,8] => [1,3,2,2]
[3,5,2,1,4,6,7,8] => [2,1,5]
[4,8,2,5,3,1,7,6] => [2,2,1,2,1]
[2,1,3,7,6,4,5,8] => [1,3,1,3]
[2,8,1,6,7,5,4,3] => [2,3,1,1,1]
[1,3,8,7,5,4,6,2] => [3,1,1,2,1]
[4,7,2,6,1,5,8,3] => [2,2,3,1]
[4,7,8,6,3,1,5,2] => [3,1,1,2,1]
[2,8,7,3,1,6,4,5] => [2,1,1,2,2]
[5,3,8,4,6,7,1,2] => [1,2,3,2]
[3,1,8,4,5,2,6,7] => [1,2,2,3]
[2,3,8,6,4,7,1,5] => [3,1,2,2]
[6,3,7,8,4,5,1,2] => [1,3,2,2]
[6,7,3,4,8,5,1,2] => [2,3,1,2]
[7,4,1,8,2,5,6,3] => [1,1,2,3,1]
[3,1,7,2,5,6,8,4] => [1,2,4,1]
[7,8,3,1,6,2,4,5] => [2,1,2,3]
[2,3,7,4,5,1,8,6] => [3,2,2,1]
[2,3,7,1,5,6,8,4] => [3,4,1]
[7,3,4,8,1,5,6,2] => [1,3,3,1]
[5,7,2,6,8,1,4,3] => [2,3,2,1]
[4,1,5,7,3,2,8,6] => [1,3,1,2,1]
[5,8,6,2,7,3,1,4] => [2,1,2,1,2]
[6,5,1,7,8,3,4,2] => [1,1,3,2,1]
[6,4,1,7,2,8,5,3] => [1,1,2,2,1,1]
[5,4,1,7,3,8,6,2] => [1,1,2,2,1,1]
[7,3,1,6,2,8,5,4] => [1,1,2,2,1,1]
[6,4,1,8,2,7,3,5] => [1,1,2,2,2]
[4,8,2,5,3,1,6,7] => [2,2,1,3]
[5,4,1,8,3,6,7,2] => [1,1,2,3,1]
[5,1,3,4,8,2,6,7] => [1,4,3]
[4,6,2,8,1,7,3,5] => [2,2,2,2]
[7,2,3,6,1,8,5,4] => [1,3,2,1,1]
[7,8,2,3,5,1,6,4] => [2,3,2,1]
[7,8,4,5,1,2,6,3] => [2,2,3,1]
[6,1,4,5,7,8,2,3] => [1,5,2]
[6,3,4,7,1,8,5,2] => [1,3,2,1,1]
[5,1,3,4,7,2,8,6] => [1,4,2,1]
[7,8,5,1,3,4,6,2] => [2,1,4,1]
[7,1,3,4,5,6,8,2] => [1,6,1]
[1,2,4,6,8,7,3,5] => [5,1,2]
[8,5,2,7,6,3,1,4] => [1,1,2,1,1,2]
[1,8,3,5,6,2,7,4] => [2,3,2,1]
[8,3,2,5,6,1,7,4] => [1,1,3,2,1]
[4,2,5,1,6,8,7,3] => [1,2,3,1,1]
[8,2,3,5,6,1,7,4] => [1,4,2,1]
[7,1,2,6,8,3,5,4] => [1,4,2,1]
[7,2,5,6,1,8,4,3] => [1,3,2,1,1]
[5,4,2,7,8,6,1,3] => [1,1,3,1,2]
[7,6,2,3,8,1,5,4] => [1,1,3,2,1]
[4,7,6,8,1,2,5,3] => [2,2,3,1]
[6,8,7,2,1,3,4,5] => [2,1,1,4]
[7,8,6,1,3,4,2,5] => [2,1,3,2]
[7,1,6,2,3,4,8,5] => [1,2,4,1]
[7,6,2,1,3,4,8,5] => [1,1,1,4,1]
[3,7,6,8,5,2,4,1] => [2,2,1,2,1]
[3,8,5,4,7,6,2,1] => [2,1,2,1,1,1]
[7,8,6,5,1,3,2,4] => [2,1,1,2,2]
[1,7,8,5,2,6,3,4] => [3,1,2,2]
[8,7,1,6,3,2,5,4] => [1,1,2,1,2,1]
[7,1,8,6,3,2,5,4] => [1,2,1,1,2,1]
[7,6,1,2,5,3,8,4] => [1,1,3,2,1]
[7,6,2,5,8,1,4,3] => [1,1,3,2,1]
[5,8,7,2,6,3,4,1] => [2,1,2,2,1]
[1,7,6,8,4,2,5,3] => [2,2,1,2,1]
[7,6,2,4,8,1,5,3] => [1,1,3,2,1]
[1,5,7,3,8,6,2,4] => [3,2,1,2]
[5,7,8,2,6,1,3,4] => [3,2,3]
[3,7,5,6,2,8,4,1] => [2,2,2,1,1]
[6,7,5,1,8,2,3,4] => [2,1,2,3]
[6,1,7,3,2,4,8,5] => [1,2,1,3,1]
[7,6,1,2,4,3,8,5] => [1,1,3,2,1]
[6,7,3,1,8,2,5,4] => [2,1,2,2,1]
[6,7,2,1,5,3,8,4] => [2,1,2,2,1]
[6,7,2,3,1,4,8,5] => [2,2,3,1]
[4,3,2,8,7,1,6,5] => [1,1,2,1,2,1]
[4,8,3,2,7,1,6,5] => [2,1,2,2,1]
[4,8,3,1,7,6,5,2] => [2,1,2,1,1,1]
[5,3,8,7,1,6,4,2] => [1,2,1,2,1,1]
[5,8,7,3,1,6,4,2] => [2,1,1,2,1,1]
[5,3,8,2,1,7,6,4] => [1,2,1,2,1,1]
[3,8,7,2,6,5,1,4] => [2,1,2,1,2]
[7,4,1,8,6,5,3,2] => [1,1,2,1,1,1,1]
[5,4,2,8,1,7,6,3] => [1,1,2,2,1,1]
[5,8,4,2,1,7,6,3] => [2,1,1,2,1,1]
[5,8,4,7,1,6,3,2] => [2,2,2,1,1]
[5,4,8,3,1,7,6,2] => [1,2,1,2,1,1]
[8,6,1,5,4,3,7,2] => [1,1,2,1,2,1]
[6,1,8,5,4,3,7,2] => [1,2,1,1,2,1]
[5,6,1,8,3,4,7,2] => [2,2,3,1]
[6,5,1,7,3,4,8,2] => [1,1,2,3,1]
[6,8,1,5,2,4,7,3] => [2,2,3,1]
[5,1,6,8,2,4,7,3] => [1,3,3,1]
[6,1,5,8,4,7,2,3] => [1,3,2,2]
[8,5,6,1,4,7,2,3] => [1,2,3,2]
[5,8,7,2,3,4,6,1] => [2,1,4,1]
[7,2,5,6,1,4,8,3] => [1,3,3,1]
[5,2,6,8,1,4,7,3] => [1,3,3,1]
[6,7,4,2,5,8,1,3] => [2,1,3,2]
[6,7,4,1,2,5,8,3] => [2,1,4,1]
[1,6,8,5,2,4,7,3] => [3,1,3,1]
[1,6,7,4,2,5,8,3] => [3,1,3,1]
[3,6,7,5,8,1,2,4] => [3,2,3]
[1,6,7,5,8,3,2,4] => [3,2,1,2]
[1,6,8,5,7,4,2,3] => [3,2,1,2]
[3,8,6,5,7,4,1,2] => [2,1,2,1,2]
[2,6,7,5,8,3,1,4] => [3,2,1,2]
[2,6,7,4,1,5,8,3] => [3,1,3,1]
[6,7,4,1,5,8,2,3] => [2,1,3,2]
[6,8,1,5,7,4,2,3] => [2,3,1,2]
[3,8,1,6,5,7,4,2] => [2,2,2,1,1]
[3,7,4,1,6,5,8,2] => [2,1,2,2,1]
[5,2,8,7,3,6,4,1] => [1,2,1,2,1,1]
[8,1,6,5,7,4,3,2] => [1,2,2,1,1,1]
[6,8,2,1,5,7,4,3] => [2,1,3,1,1]
[5,2,1,6,8,4,7,3] => [1,1,3,2,1]
[7,3,1,4,8,6,5,2] => [1,1,3,1,1,1]
[6,5,2,4,8,7,3,1] => [1,1,3,1,1,1]
[6,5,8,7,4,2,3,1] => [1,2,1,1,2,1]
[3,1,8,6,5,7,4,2] => [1,2,1,2,1,1]
[6,8,5,7,4,2,1,3] => [2,2,1,1,2]
[3,6,7,5,8,2,1,4] => [3,2,1,2]
[1,8,6,5,7,4,3,2] => [2,1,2,1,1,1]
[2,7,8,5,6,3,1,4] => [3,2,1,2]
[4,7,8,5,6,3,1,2] => [3,2,1,2]
[4,7,8,5,3,6,1,2] => [3,1,2,2]
[2,7,8,5,3,4,6,1] => [3,1,3,1]
[2,7,8,5,3,1,4,6] => [3,1,1,3]
[4,7,5,3,8,1,2,6] => [2,1,2,3]
[2,7,5,8,3,1,4,6] => [2,2,1,3]
[2,7,5,8,3,4,6,1] => [2,2,3,1]
[2,7,5,6,3,4,8,1] => [2,2,3,1]
[2,7,5,6,3,1,4,8] => [2,2,1,3]
[4,7,5,6,3,1,2,8] => [2,2,1,3]
[4,7,5,3,6,1,2,8] => [2,1,2,3]
[6,7,5,3,1,4,2,8] => [2,1,1,2,2]
[4,7,5,3,1,6,2,8] => [2,1,1,2,2]
[2,7,5,3,1,6,4,8] => [2,1,1,2,2]
[2,7,5,3,6,1,4,8] => [2,1,2,3]
[2,7,5,3,6,4,8,1] => [2,1,2,2,1]
[2,7,5,3,8,4,6,1] => [2,1,2,2,1]
[4,7,5,3,1,8,2,6] => [2,1,1,2,2]
[6,7,5,3,1,8,2,4] => [2,1,1,2,2]
[2,7,5,3,8,1,6,4] => [2,1,2,2,1]
[2,7,5,3,8,6,1,4] => [2,1,2,1,2]
[2,7,5,8,3,1,6,4] => [2,2,1,2,1]
[4,7,5,3,8,1,6,2] => [2,1,2,2,1]
[6,7,5,3,8,1,4,2] => [2,1,2,2,1]
[8,7,5,3,6,1,4,2] => [1,1,1,2,2,1]
[4,7,5,3,8,6,1,2] => [2,1,2,1,2]
[2,7,5,8,6,3,1,4] => [2,2,1,1,2]
[2,7,5,8,6,3,4,1] => [2,2,1,2,1]
[2,7,5,6,8,3,4,1] => [2,3,2,1]
[2,7,5,6,8,3,1,4] => [2,3,1,2]
[4,7,5,3,6,8,1,2] => [2,1,3,2]
[6,7,5,3,4,1,8,2] => [2,1,2,2,1]
[4,7,5,3,6,1,8,2] => [2,1,2,2,1]
[2,7,5,6,3,1,8,4] => [2,2,1,2,1]
[2,7,5,6,3,8,4,1] => [2,2,2,1,1]
[2,7,5,3,6,8,4,1] => [2,1,3,1,1]
[2,7,5,3,6,8,1,4] => [2,1,3,2]
[2,7,5,3,6,1,8,4] => [2,1,2,2,1]
[2,7,5,3,1,6,8,4] => [2,1,1,3,1]
[4,7,5,3,1,6,8,2] => [2,1,1,3,1]
[6,7,5,3,1,4,8,2] => [2,1,1,3,1]
[8,7,5,3,1,4,6,2] => [1,1,1,1,3,1]
[2,7,5,3,1,4,8,6] => [2,1,1,3,1]
[2,7,5,3,4,1,8,6] => [2,1,2,2,1]
[2,7,5,3,4,8,1,6] => [2,1,3,2]
[2,7,5,3,4,8,6,1] => [2,1,3,1,1]
[2,7,5,3,4,6,8,1] => [2,1,4,1]
[2,7,5,3,4,6,1,8] => [2,1,3,2]
[2,7,5,3,4,1,6,8] => [2,1,2,3]
[2,7,5,3,1,4,6,8] => [2,1,1,4]
[4,7,5,3,1,2,6,8] => [2,1,1,4]
[5,7,6,2,8,3,1,4] => [2,1,2,1,2]
[5,1,6,3,2,4,8,7] => [1,2,1,3,1]
[5,7,6,1,8,3,2,4] => [2,1,2,1,2]
[3,8,7,1,2,5,4,6] => [2,1,3,2]
[3,8,7,2,1,5,4,6] => [2,1,1,2,2]
[3,7,5,2,1,4,8,6] => [2,1,1,3,1]
[4,6,5,7,8,3,1,2] => [2,3,1,2]
[5,7,6,3,8,2,1,4] => [2,1,2,1,2]
[5,7,6,1,8,4,2,3] => [2,1,2,1,2]
[5,8,6,1,7,4,2,3] => [2,1,2,1,2]
[6,1,7,2,8,4,3,5] => [1,2,2,1,2]
[4,8,5,6,7,3,1,2] => [2,3,1,2]
[6,1,7,2,8,5,3,4] => [1,2,2,1,2]
[3,7,6,2,8,5,1,4] => [2,1,2,1,2]
[3,7,6,1,8,4,2,5] => [2,1,2,1,2]
[2,6,7,1,8,4,3,5] => [3,2,1,2]
[6,1,7,3,8,5,2,4] => [1,2,2,1,2]
[7,1,8,3,2,5,4,6] => [1,2,1,2,2]
[5,1,7,3,2,4,8,6] => [1,2,1,3,1]
[2,7,8,3,1,5,4,6] => [3,1,2,2]
[2,5,6,8,7,3,1,4] => [4,1,1,2]
[4,8,5,6,7,2,1,3] => [2,3,1,2]
[5,8,7,2,3,4,1,6] => [2,1,3,2]
[5,8,6,2,7,4,1,3] => [2,1,2,1,2]
[2,4,6,7,8,5,1,3] => [5,1,2]
[2,4,6,7,8,3,1,5] => [5,1,2]
[4,7,6,2,8,3,1,5] => [2,1,2,1,2]
[4,7,6,2,8,5,1,3] => [2,1,2,1,2]
[5,8,6,3,7,4,1,2] => [2,1,2,1,2]
[5,8,7,3,2,4,1,6] => [2,1,1,2,2]
[4,6,5,8,7,3,1,2] => [2,2,1,1,2]
[5,8,6,3,7,2,1,4] => [2,1,2,1,2]
[8,3,1,7,2,6,4,5] => [1,1,2,2,2]
[4,5,1,2,8,7,3,6] => [2,3,1,2]
[5,6,1,2,8,3,7,4] => [2,3,2,1]
[5,8,7,1,6,2,4,3] => [2,1,2,2,1]
[4,8,5,1,7,6,2,3] => [2,1,2,1,2]
[8,4,5,1,7,6,2,3] => [1,2,2,1,2]
[7,3,1,4,8,2,6,5] => [1,1,3,2,1]
[6,3,1,4,8,2,7,5] => [1,1,3,2,1]
[8,5,6,1,7,2,4,3] => [1,2,2,2,1]
[7,5,6,1,3,8,4,2] => [1,2,3,1,1]
[7,3,1,5,4,8,6,2] => [1,1,2,2,1,1]
[7,4,6,1,3,8,5,2] => [1,2,3,1,1]
[6,8,5,1,3,7,4,2] => [2,1,3,1,1]
[5,7,6,1,3,8,4,2] => [2,1,3,1,1]
[6,7,1,4,2,8,5,3] => [2,2,2,1,1]
[5,7,1,4,2,8,6,3] => [2,2,2,1,1]
[3,4,1,8,6,5,7,2] => [2,2,1,2,1]
[8,3,1,7,4,5,6,2] => [1,1,2,3,1]
[5,7,1,2,4,8,6,3] => [2,4,1,1]
[2,1,6,4,8,3,7,5] => [1,2,2,2,1]
[7,6,4,1,3,8,5,2] => [1,1,1,3,1,1]
[1,5,7,8,4,2,3,6] => [4,1,3]
[1,3,6,4,2,5,7,8] => [3,1,4]
[1,4,5,7,8,3,6,2] => [5,2,1]
[1,5,7,8,3,6,2,4] => [4,2,2]
[1,5,7,8,2,4,3,6] => [4,2,2]
[6,8,1,7,2,4,5,3] => [2,2,3,1]
[6,8,4,7,3,2,1,5] => [2,2,1,1,2]
[3,8,4,2,7,5,1,6] => [2,1,2,1,2]
[6,8,3,2,1,5,4,7] => [2,1,1,2,2]
[6,5,8,2,1,3,4,7] => [1,2,1,4]
[2,8,5,3,6,1,4,7] => [2,1,2,3]
[2,8,1,4,6,7,5,3] => [2,4,1,1]
[2,8,4,1,7,6,5,3] => [2,1,2,1,1,1]
[6,8,5,4,2,7,1,3] => [2,1,1,2,2]
[1,8,4,6,3,2,7,5] => [2,2,1,2,1]
[6,4,8,5,3,2,1,7] => [1,2,1,1,1,2]
[5,4,1,7,3,2,6,8] => [1,1,2,1,3]
[3,5,6,1,4,2,7,8] => [3,2,3]
[1,6,3,8,4,2,7,5] => [2,2,1,2,1]
[5,3,6,8,4,2,7,1] => [1,3,1,2,1]
[6,5,8,1,2,3,7,4] => [1,2,4,1]
[5,3,1,4,7,6,8,2] => [1,1,3,2,1]
[7,1,3,2,4,6,8,5] => [1,2,4,1]
[6,4,3,2,7,5,8,1] => [1,1,1,2,2,1]
[7,4,5,6,1,3,8,2] => [1,3,3,1]
[7,5,4,2,1,3,8,6] => [1,1,1,1,3,1]
[1,6,7,8,3,5,2,4] => [4,2,2]
[2,1,4,8,7,3,5,6] => [1,3,1,3]
[2,6,5,7,8,3,1,4] => [2,3,1,2]
[3,7,6,8,2,5,4,1] => [2,2,2,1,1]
[5,4,6,8,7,1,3,2] => [1,3,1,2,1]
[4,1,8,2,6,7,5,3] => [1,2,3,1,1]
[3,6,7,8,2,1,4,5] => [4,1,3]
[2,5,7,1,6,3,4,8] => [3,2,3]
[4,2,8,3,6,5,1,7] => [1,2,2,1,2]
[6,3,8,7,2,4,5,1] => [1,2,1,3,1]
[7,6,1,8,2,4,5,3] => [1,1,2,3,1]
[2,5,6,3,4,8,1,7] => [3,3,2]
[5,2,1,4,7,8,6,3] => [1,1,4,1,1]
[5,2,4,7,8,6,1,3] => [1,4,1,2]
[3,5,1,2,8,6,4,7] => [2,3,1,2]
[7,2,1,3,4,8,5,6] => [1,1,4,2]
[2,4,5,7,1,8,6,3] => [4,2,1,1]
[2,6,4,7,3,1,5,8] => [2,2,1,3]
[6,2,4,7,3,8,5,1] => [1,3,2,1,1]
[7,6,3,1,2,5,8,4] => [1,1,1,4,1]
[1,5,7,4,3,2,8,6] => [3,1,1,2,1]
[8,1,6,2,3,4,7,5] => [1,2,4,1]
[6,1,4,2,5,7,8,3] => [1,2,4,1]
[3,4,8,6,7,2,5,1] => [3,2,2,1]
[1,6,7,2,4,3,5,8] => [3,2,3]
[1,8,7,3,2,6,5,4] => [2,1,1,2,1,1]
[1,8,3,4,5,2,7,6] => [2,3,2,1]
[1,8,3,6,4,7,2,5] => [2,2,2,2]
[1,8,5,3,6,7,2,4] => [2,1,3,2]
[1,4,7,2,5,6,3,8] => [3,3,2]
[5,4,1,7,3,6,2,8] => [1,1,2,2,2]
[7,3,5,8,2,6,1,4] => [1,3,2,2]
[3,5,8,6,4,7,1,2] => [3,1,2,2]
[3,4,8,6,7,2,1,5] => [3,2,1,2]
[3,4,8,2,5,1,7,6] => [3,2,2,1]
[1,4,6,2,5,8,7,3] => [3,3,1,1]
[1,4,7,6,3,2,8,5] => [3,1,1,2,1]
[1,5,6,4,2,3,8,7] => [3,1,3,1]
[6,3,4,1,8,2,7,5] => [1,2,2,2,1]
[4,1,6,8,2,5,7,3] => [1,3,3,1]
[1,6,2,5,8,3,7,4] => [2,3,2,1]
[1,7,2,5,8,4,3,6] => [2,3,1,2]
[1,4,6,7,8,3,5,2] => [5,2,1]
[4,1,5,3,6,8,7,2] => [1,2,3,1,1]
[3,7,5,1,6,8,4,2] => [2,1,3,1,1]
[6,1,4,7,8,2,5,3] => [1,4,2,1]
[5,8,7,4,6,2,3,1] => [2,1,2,2,1]
[6,8,7,1,5,3,4,2] => [2,1,2,2,1]
[2,7,8,4,6,5,1,3] => [3,2,1,2]
[3,7,8,5,4,6,2,1] => [3,1,2,1,1]
[4,8,7,5,2,6,3,1] => [2,1,1,2,1,1]
[2,8,7,4,6,1,5,3] => [2,1,2,2,1]
[4,8,7,2,5,6,3,1] => [2,1,3,1,1]
[4,7,8,5,3,6,2,1] => [3,1,2,1,1]
[6,4,8,1,5,7,3,2] => [1,2,3,1,1]
[1,6,8,3,5,2,7,4] => [3,2,2,1]
[4,5,8,6,3,7,2,1] => [3,1,2,1,1]
[2,6,7,8,4,5,1,3] => [4,2,2]
[6,1,2,8,4,7,5,3] => [1,3,2,1,1]
[4,7,1,8,5,6,3,2] => [2,2,2,1,1]
[5,7,1,8,2,6,4,3] => [2,2,2,1,1]
[7,2,1,8,6,4,5,3] => [1,1,2,1,2,1]
[5,3,8,4,7,6,2,1] => [1,2,2,1,1,1]
[2,5,8,1,7,4,6,3] => [3,2,2,1]
[4,5,8,3,7,6,2,1] => [3,2,1,1,1]
[1,7,2,8,6,4,5,3] => [2,2,1,2,1]
[3,5,7,8,1,6,2,4] => [4,2,2]
[2,4,7,8,5,6,1,3] => [4,2,2]
[4,1,7,8,5,6,3,2] => [1,3,2,1,1]
[3,5,8,6,4,7,2,1] => [3,1,2,1,1]
[2,4,8,5,7,6,1,3] => [3,2,1,2]
[2,6,3,8,5,1,7,4] => [2,2,1,2,1]
[4,1,5,8,6,7,3,2] => [1,3,2,1,1]
[1,4,3,7,2,8,5,6] => [2,2,2,2]
[4,5,8,2,6,3,1,7] => [3,2,1,2]
[6,3,5,2,4,7,1,8] => [1,2,3,2]
[5,2,6,3,4,8,1,7] => [1,2,3,2]
[5,2,3,8,4,6,1,7] => [1,3,2,2]
[4,2,3,5,8,6,1,7] => [1,4,1,2]
[3,8,2,4,6,1,5,7] => [2,3,3]
[2,3,8,4,6,1,5,7] => [3,2,3]
[4,3,7,5,2,1,8,6] => [1,2,1,1,2,1]
[5,3,4,7,6,1,2,8] => [1,3,1,3]
[6,5,1,3,2,8,4,7] => [1,1,2,2,2]
[5,1,4,3,2,7,6,8] => [1,2,1,2,2]
[4,1,3,5,8,7,2,6] => [1,4,1,2]
[3,1,2,7,4,8,6,5] => [1,3,2,1,1]
[6,2,1,4,8,3,7,5] => [1,1,3,2,1]
[3,4,7,2,1,8,5,6] => [3,1,2,2]
[3,8,2,1,4,7,6,5] => [2,1,3,1,1]
[3,2,4,7,1,8,5,6] => [1,3,2,2]
[2,8,5,4,1,3,7,6] => [2,1,1,3,1]
[4,2,3,5,7,1,8,6] => [1,4,2,1]
[4,2,8,7,1,3,5,6] => [1,2,1,4]
[4,8,6,5,3,1,2,7] => [2,1,1,1,3]
[6,5,4,8,3,1,2,7] => [1,1,2,1,3]
[5,4,6,3,1,7,2,8] => [1,2,1,2,2]
[4,3,6,5,1,8,2,7] => [1,2,1,2,2]
[1,5,6,8,7,3,2,4] => [4,1,1,2]
[1,4,8,3,6,5,2,7] => [3,2,1,2]
[4,8,1,3,6,5,2,7] => [2,3,1,2]
[3,5,4,1,6,7,2,8] => [2,1,3,2]
[3,4,1,8,6,5,2,7] => [2,2,1,1,2]
[1,3,8,6,4,7,2,5] => [3,1,2,2]
[1,2,8,6,4,3,7,5] => [3,1,1,2,1]
[3,2,1,6,4,8,7,5] => [1,1,2,2,1,1]
[6,5,1,8,7,3,2,4] => [1,1,2,1,1,2]
[4,1,7,6,8,3,2,5] => [1,2,2,1,2]
[3,1,7,6,4,8,2,5] => [1,2,1,2,2]
[2,1,7,6,4,3,8,5] => [1,2,1,1,2,1]
[6,3,5,1,2,8,7,4] => [1,2,3,1,1]
[8,1,4,5,7,3,2,6] => [1,4,1,2]
[1,8,4,7,6,2,3,5] => [2,2,1,3]
[5,8,4,7,6,1,3,2] => [2,2,1,2,1]
[8,3,2,6,1,7,4,5] => [1,1,2,2,2]
[8,2,4,7,6,1,3,5] => [1,3,1,3]
[1,6,3,7,4,5,2,8] => [2,2,2,2]
[2,6,3,7,4,8,5,1] => [2,2,2,1,1]
[4,6,1,7,8,2,5,3] => [2,3,2,1]
[7,2,3,8,4,5,6,1] => [1,3,3,1]
[5,2,6,7,8,3,4,1] => [1,4,2,1]
[6,5,8,1,2,7,4,3] => [1,2,3,1,1]
[6,5,1,8,7,2,4,3] => [1,1,2,1,2,1]
[5,8,4,3,7,2,1,6] => [2,1,2,1,2]
[6,1,2,8,7,3,4,5] => [1,3,1,3]
[7,3,2,8,4,6,1,5] => [1,1,2,2,2]
[4,5,1,7,6,2,8,3] => [2,2,1,2,1]
[1,5,2,7,6,3,4,8] => [2,2,1,3]
[7,2,6,8,3,5,4,1] => [1,3,2,1,1]
[4,8,1,7,6,2,5,3] => [2,2,1,2,1]
[7,2,8,6,5,3,4,1] => [1,2,1,1,2,1]
[4,1,8,7,6,5,2,3] => [1,2,1,1,1,2]
[7,6,5,2,8,4,3,1] => [1,1,1,2,1,1,1]
[8,6,5,2,7,4,1,3] => [1,1,1,2,1,2]
[7,8,5,2,6,4,1,3] => [2,1,2,1,2]
[8,7,5,2,6,1,4,3] => [1,1,1,2,2,1]
[6,5,1,8,7,4,3,2] => [1,1,2,1,1,1,1]
[7,5,1,8,6,4,3,2] => [1,1,2,1,1,1,1]
[8,5,1,7,6,4,3,2] => [1,1,2,1,1,1,1]
[8,5,3,7,6,1,4,2] => [1,1,2,1,2,1]
[7,6,8,2,5,4,1,3] => [1,2,2,1,2]
[7,2,8,6,1,5,4,3] => [1,2,1,2,1,1]
[7,8,6,2,5,1,4,3] => [2,1,2,2,1]
[3,8,7,6,1,5,4,2] => [2,1,1,2,1,1]
[1,6,7,8,4,5,2,3] => [4,2,2]
[3,6,2,8,4,1,5,7] => [2,2,1,3]
[8,3,7,5,4,1,6,2] => [1,2,1,1,2,1]
[8,6,4,5,3,1,7,2] => [1,1,2,1,2,1]
[3,8,6,5,4,1,7,2] => [2,1,1,1,2,1]
[1,6,5,8,4,7,2,3] => [2,2,2,2]
[2,4,5,7,3,1,6,8] => [4,1,3]
[8,2,6,7,4,5,1,3] => [1,3,2,2]
[1,2,7,8,4,6,5,3] => [4,2,1,1]
[6,3,8,4,1,2,5,7] => [1,2,1,4]
[1,6,3,5,4,8,2,7] => [2,2,2,2]
[4,5,3,1,8,7,2,6] => [2,1,2,1,2]
[3,1,5,8,6,4,2,7] => [1,3,1,1,2]
[3,4,8,1,5,2,6,7] => [3,2,3]
[4,6,8,1,5,2,3,7] => [3,2,3]
[5,2,6,7,1,8,3,4] => [1,3,2,2]
[3,6,8,5,2,7,1,4] => [3,1,2,2]
[6,1,8,2,7,4,3,5] => [1,2,2,1,2]
[2,5,6,3,1,7,4,8] => [3,1,2,2]
[7,5,2,6,1,4,3,8] => [1,1,2,2,2]
[5,7,6,2,8,1,3,4] => [2,1,2,3]
[5,2,4,6,8,7,1,3] => [1,4,1,2]
[8,1,6,5,7,2,3,4] => [1,2,2,3]
[1,4,6,2,5,7,3,8] => [3,3,2]
[8,6,5,7,1,3,2,4] => [1,1,2,2,2]
[7,1,6,5,2,8,4,3] => [1,2,1,2,1,1]
[1,5,8,6,2,7,4,3] => [3,1,2,1,1]
[6,4,7,1,3,8,2,5] => [1,2,3,2]
[8,2,3,6,7,4,1,5] => [1,4,1,2]
[8,7,5,2,4,3,1,6] => [1,1,1,2,1,2]
[3,1,8,5,7,2,6,4] => [1,2,2,2,1]
[6,5,2,1,7,4,3,8] => [1,1,1,2,1,2]
[6,7,4,2,3,8,1,5] => [2,1,3,2]
[5,6,4,3,8,1,2,7] => [2,1,2,3]
[6,8,5,3,4,2,1,7] => [2,1,2,1,2]
[8,5,2,6,4,3,1,7] => [1,1,2,1,1,2]
[8,6,4,5,2,1,7,3] => [1,1,2,1,2,1]
[8,5,2,6,1,4,7,3] => [1,1,2,3,1]
[8,5,6,4,2,7,1,3] => [1,2,1,2,2]
[5,7,2,4,8,1,6,3] => [2,3,2,1]
[2,7,5,8,1,4,6,3] => [2,2,3,1]
[2,7,3,5,8,1,6,4] => [2,3,2,1]
[5,2,7,3,8,1,6,4] => [1,2,2,2,1]
[8,5,6,4,1,3,7,2] => [1,2,1,3,1]
[8,5,1,6,7,3,2,4] => [1,1,3,1,2]
[3,7,5,8,2,1,6,4] => [2,2,1,2,1]
[3,2,6,7,1,8,5,4] => [1,3,2,1,1]
[6,1,3,7,8,2,5,4] => [1,4,2,1]
[5,4,7,8,1,2,6,3] => [1,3,3,1]
[5,7,1,4,3,8,6,2] => [2,2,2,1,1]
[3,1,6,7,8,2,5,4] => [1,4,2,1]
[1,3,6,7,8,2,5,4] => [5,2,1]
[3,4,6,7,8,2,1,5] => [5,1,2]
[1,6,3,7,8,2,5,4] => [2,3,2,1]
[3,2,6,7,8,4,1,5] => [1,4,1,2]
[6,2,7,8,5,3,1,4] => [1,3,1,1,2]
[6,2,7,4,8,5,1,3] => [1,2,2,1,2]
[6,2,1,4,7,8,5,3] => [1,1,4,1,1]
[5,7,2,8,1,4,6,3] => [2,2,3,1]
[7,8,4,3,1,6,5,2] => [2,1,1,2,1,1]
[2,6,1,7,8,3,5,4] => [2,3,2,1]
[2,7,5,8,6,1,3,4] => [2,2,1,3]
[6,7,1,3,8,5,4,2] => [2,3,1,1,1]
[6,7,1,8,5,2,4,3] => [2,2,1,2,1]
[2,6,4,7,8,1,3,5] => [2,3,3]
[1,2,6,7,8,5,3,4] => [5,1,2]
[1,6,7,4,8,3,2,5] => [3,2,1,2]
[1,6,4,7,8,3,2,5] => [2,3,1,2]
[1,4,6,7,8,3,2,5] => [5,1,2]
[6,1,2,4,5,3,7,8] => [1,4,3]
[7,5,1,2,4,6,3,8] => [1,1,4,2]
[8,1,7,3,2,6,4,5] => [1,2,1,2,2]
[8,7,2,1,5,4,6,3] => [1,1,1,2,2,1]
[2,7,4,8,6,5,3,1] => [2,2,1,1,1,1]
[7,6,5,2,4,1,8,3] => [1,1,1,2,2,1]
[7,6,4,3,1,5,8,2] => [1,1,1,1,3,1]
[6,1,8,7,2,3,5,4] => [1,2,1,3,1]
[8,6,1,2,7,3,4,5] => [1,1,3,3]
[3,6,8,2,7,1,5,4] => [3,2,2,1]
[2,8,6,1,4,5,7,3] => [2,1,4,1]
[6,8,7,2,5,4,1,3] => [2,1,2,1,2]
[7,8,1,3,4,6,2,5] => [2,4,2]
[3,2,6,4,8,7,5,1] => [1,2,2,1,1,1]
[4,7,2,8,6,5,1,3] => [2,2,1,1,2]
[4,7,1,8,6,5,3,2] => [2,2,1,1,1,1]
[2,7,4,8,3,6,1,5] => [2,2,2,2]
[4,7,3,8,6,1,5,2] => [2,2,1,2,1]
[4,3,6,8,7,2,5,1] => [1,3,1,2,1]
[4,3,8,2,5,7,6,1] => [1,2,3,1,1]
[4,1,2,6,8,7,5,3] => [1,4,1,1,1]
[3,1,6,4,8,7,2,5] => [1,2,2,1,2]
[4,1,6,8,7,5,2,3] => [1,3,1,1,2]
[3,8,1,4,5,7,2,6] => [2,4,2]
[3,8,1,4,2,5,7,6] => [2,2,3,1]
[4,1,8,3,5,2,7,6] => [1,2,2,2,1]
[3,8,1,2,5,4,7,6] => [2,3,2,1]
[4,2,3,6,8,7,1,5] => [1,4,1,2]
[4,2,8,3,5,1,7,6] => [1,2,2,2,1]
[4,2,8,3,5,7,6,1] => [1,2,3,1,1]
[3,8,2,4,5,7,6,1] => [2,4,1,1]
[3,8,2,5,1,4,7,6] => [2,2,3,1]
[4,2,8,5,7,1,3,6] => [1,2,2,3]
[3,8,1,5,2,4,7,6] => [2,2,3,1]
[7,5,6,4,1,3,2,8] => [1,2,1,2,2]
[7,8,6,4,1,3,2,5] => [2,1,1,2,2]
[7,1,4,2,5,6,3,8] => [1,2,3,2]
[7,3,2,1,4,6,5,8] => [1,1,1,3,2]
[7,6,1,4,3,2,5,8] => [1,1,2,1,3]
[7,4,1,3,5,6,2,8] => [1,1,4,2]
[2,7,1,3,5,6,8,4] => [2,5,1]
[3,6,2,1,5,8,7,4] => [2,1,3,1,1]
[2,3,6,1,5,8,7,4] => [3,3,1,1]
[3,4,7,1,5,6,8,2] => [3,4,1]
[3,6,7,4,1,2,8,5] => [3,1,3,1]
[4,3,2,7,1,6,8,5] => [1,1,2,3,1]
[7,3,2,8,1,6,4,5] => [1,1,2,2,2]
[7,4,8,1,5,6,3,2] => [1,2,3,1,1]
[2,6,8,1,5,3,7,4] => [3,2,2,1]
[6,8,2,1,5,3,7,4] => [2,1,2,2,1]
[4,8,2,5,3,6,7,1] => [2,2,3,1]
[4,5,8,2,3,6,7,1] => [3,4,1]
[2,4,8,5,3,6,7,1] => [3,1,3,1]
[5,3,2,6,4,8,7,1] => [1,1,2,2,1,1]
[2,4,5,3,8,6,7,1] => [3,2,2,1]
[4,3,5,2,8,6,7,1] => [1,2,2,2,1]
[4,8,5,3,2,6,7,1] => [2,1,1,3,1]
[3,5,4,2,8,6,7,1] => [2,1,2,2,1]
[4,1,2,7,5,6,8,3] => [1,3,3,1]
[5,6,7,4,2,8,3,1] => [3,1,2,1,1]
[2,5,7,4,6,8,3,1] => [3,3,1,1]
[7,5,2,4,3,8,6,1] => [1,1,2,2,1,1]
[6,8,1,2,5,4,7,3] => [2,3,2,1]
[6,4,1,8,5,2,7,3] => [1,1,2,1,2,1]
[2,6,1,8,5,4,7,3] => [2,2,1,2,1]
[7,1,2,8,5,6,4,3] => [1,3,2,1,1]
[4,3,2,6,8,5,7,1] => [1,1,3,2,1]
[3,7,6,4,8,5,2,1] => [2,1,2,1,1,1]
[3,1,6,8,5,4,7,2] => [1,3,1,2,1]
[2,3,5,8,4,6,7,1] => [4,3,1]
[3,5,2,8,4,6,7,1] => [2,2,3,1]
[3,4,5,8,2,6,7,1] => [4,3,1]
[5,4,2,8,3,6,7,1] => [1,1,2,3,1]
[5,3,4,8,2,6,7,1] => [1,3,3,1]
[2,5,4,8,3,6,7,1] => [2,2,3,1]
[6,3,2,5,8,4,7,1] => [1,1,3,2,1]
[6,1,8,3,5,4,7,2] => [1,2,2,2,1]
[5,4,8,3,2,6,7,1] => [1,2,1,3,1]
[5,8,2,3,4,6,7,1] => [2,5,1]
[7,2,5,6,4,1,8,3] => [1,3,1,2,1]
[6,2,1,7,8,5,4,3] => [1,1,3,1,1,1]
[7,2,5,1,4,6,8,3] => [1,2,4,1]
[8,2,1,7,4,5,6,3] => [1,1,2,3,1]
[8,2,5,6,4,1,7,3] => [1,3,1,2,1]
[8,2,5,6,4,7,1,3] => [1,3,2,2]
[7,4,6,8,3,2,5,1] => [1,3,1,2,1]
[7,4,6,8,3,2,1,5] => [1,3,1,1,2]
[1,5,8,6,3,7,2,4] => [3,1,2,2]
[6,1,8,7,3,5,2,4] => [1,2,1,2,2]
[6,1,2,7,3,5,4,8] => [1,3,2,2]
[3,4,5,2,7,1,6,8] => [3,2,3]
[1,4,6,7,3,2,5,8] => [4,1,3]
[3,1,7,8,2,4,6,5] => [1,3,3,1]
[1,4,6,8,3,2,7,5] => [4,1,2,1]
[3,4,5,2,7,1,8,6] => [3,2,2,1]
[3,1,7,6,8,4,2,5] => [1,2,2,1,2]
[7,5,6,1,2,3,8,4] => [1,2,4,1]
[1,5,7,6,3,2,8,4] => [3,1,1,2,1]
[8,4,6,7,3,1,2,5] => [1,3,1,3]
[8,4,6,7,3,2,5,1] => [1,3,1,2,1]
[3,8,7,6,2,4,5,1] => [2,1,1,3,1]
[3,7,5,2,1,6,8,4] => [2,1,1,3,1]
[3,7,2,4,1,6,8,5] => [2,2,3,1]
[3,8,2,4,7,6,1,5] => [2,3,1,2]
[8,4,6,2,3,5,7,1] => [1,2,4,1]
[8,4,6,2,3,1,5,7] => [1,2,2,3]
[8,5,2,6,3,4,1,7] => [1,1,2,2,2]
[7,5,2,1,4,3,8,6] => [1,1,1,2,2,1]
[3,4,1,7,5,2,8,6] => [2,2,1,2,1]
[3,1,7,8,5,4,2,6] => [1,3,1,1,2]
[3,4,5,2,8,6,1,7] => [3,2,1,2]
[3,4,5,2,8,1,6,7] => [3,2,3]
[3,4,5,2,8,6,7,1] => [3,2,2,1]
[3,4,5,2,6,8,1,7] => [3,3,2]
[3,4,5,2,1,8,6,7] => [3,1,2,2]
[7,6,4,8,3,1,2,5] => [1,1,2,1,3]
[7,4,8,5,6,1,2,3] => [1,2,2,3]
[6,2,8,5,1,3,4,7] => [1,2,1,4]
[3,2,7,8,6,1,4,5] => [1,3,1,3]
[6,8,2,5,1,3,7,4] => [2,2,3,1]
[6,7,4,2,1,5,3,8] => [2,1,1,2,2]
[5,7,4,1,3,6,2,8] => [2,1,3,2]
[4,2,7,5,1,8,3,6] => [1,2,1,2,2]
[4,1,6,5,3,8,2,7] => [1,2,1,2,2]
[1,5,4,6,3,8,2,7] => [2,2,2,2]
[1,8,6,4,7,3,2,5] => [2,1,2,1,2]
[4,7,1,8,6,3,5,2] => [2,2,1,2,1]
[5,4,8,1,7,3,6,2] => [1,2,2,2,1]
[4,3,8,6,2,1,7,5] => [1,2,1,1,2,1]
[8,3,6,2,4,1,7,5] => [1,2,2,2,1]
[7,8,3,2,4,6,5,1] => [2,1,3,1,1]
[7,2,8,5,3,1,6,4] => [1,2,1,1,2,1]
[2,5,4,8,7,3,6,1] => [2,2,1,2,1]
[6,4,2,8,7,3,1,5] => [1,1,2,1,1,2]
[3,6,8,1,7,4,2,5] => [3,2,1,2]
[7,8,6,3,1,4,5,2] => [2,1,1,3,1]
[3,8,6,1,7,5,2,4] => [2,1,2,1,2]
[2,7,5,4,8,3,1,6] => [2,1,2,1,2]
[6,8,7,5,2,1,3,4] => [2,1,1,1,3]
[7,6,2,8,5,1,3,4] => [1,1,2,1,3]
[1,5,7,6,2,8,4,3] => [3,1,2,1,1]
[1,6,5,2,7,8,4,3] => [2,1,3,1,1]
[4,7,8,5,6,2,3,1] => [3,2,2,1]
[2,7,8,5,6,1,4,3] => [3,2,2,1]
[6,7,8,4,2,1,5,3] => [3,1,1,2,1]
[4,7,8,1,2,5,6,3] => [3,4,1]
[8,6,4,1,2,5,7,3] => [1,1,1,4,1]
[6,1,4,7,2,5,8,3] => [1,3,3,1]
[6,7,8,3,5,4,2,1] => [3,2,1,1,1]
[2,7,8,3,6,5,4,1] => [3,2,1,1,1]
[6,7,8,2,1,5,3,4] => [3,1,2,2]
[8,6,2,1,7,5,4,3] => [1,1,1,2,1,1,1]
[3,6,1,2,5,7,4,8] => [2,4,2]
[5,6,3,2,7,4,1,8] => [2,1,2,1,2]
[2,6,4,3,7,5,8,1] => [2,1,2,2,1]
[8,2,4,7,1,5,3,6] => [1,3,2,2]
[5,2,3,7,8,4,1,6] => [1,4,1,2]
[7,2,3,6,1,8,4,5] => [1,3,2,2]
[5,2,7,3,6,8,4,1] => [1,2,3,1,1]
[2,5,6,7,3,8,4,1] => [4,2,1,1]
[7,5,6,1,2,8,3,4] => [1,2,3,2]
[4,1,5,8,6,2,7,3] => [1,3,1,2,1]
[3,4,6,5,7,1,2,8] => [3,2,3]
[2,4,7,5,6,3,1,8] => [3,2,1,2]
[7,5,1,6,3,4,2,8] => [1,1,2,2,2]
[7,6,2,3,5,4,8,1] => [1,1,3,2,1]
[8,5,2,4,3,6,1,7] => [1,1,2,2,2]
[8,5,7,2,4,1,6,3] => [1,2,2,2,1]
[2,6,7,5,8,1,4,3] => [3,2,2,1]
[2,6,7,5,8,3,4,1] => [3,2,2,1]
[2,5,8,7,6,3,4,1] => [3,1,1,2,1]
[4,5,8,7,6,2,3,1] => [3,1,1,2,1]
[7,4,8,2,1,5,6,3] => [1,2,1,3,1]
[7,3,2,4,1,6,5,8] => [1,1,2,2,2]
[8,3,2,7,5,4,6,1] => [1,1,2,1,2,1]
[5,4,2,7,1,6,3,8] => [1,1,2,2,2]
[2,3,6,7,8,5,1,4] => [5,1,2]
[8,3,7,1,6,4,2,5] => [1,2,2,1,2]
[2,4,7,8,6,3,5,1] => [4,1,2,1]
[8,2,1,7,6,5,3,4] => [1,1,2,1,1,2]
[5,7,4,1,6,8,2,3] => [2,1,3,2]
[1,4,6,8,7,3,2,5] => [4,1,1,2]
[1,5,8,3,6,2,4,7] => [3,2,3]
[6,5,1,2,8,3,4,7] => [1,1,3,3]
[5,6,8,1,3,7,2,4] => [3,3,2]
[6,4,2,8,3,7,1,5] => [1,1,2,2,2]
[3,7,4,8,6,1,2,5] => [2,2,1,3]
[7,8,2,5,6,3,1,4] => [2,3,1,2]
[6,1,8,5,3,2,4,7] => [1,2,1,1,3]
[1,6,8,5,3,2,4,7] => [3,1,1,3]
[5,1,2,8,3,7,4,6] => [1,3,2,2]
[8,5,2,1,3,7,4,6] => [1,1,1,3,2]
[5,8,1,6,7,4,2,3] => [2,3,1,2]
[4,6,7,2,3,1,8,5] => [3,2,2,1]
[3,6,4,2,8,1,5,7] => [2,1,2,3]
[7,2,6,5,1,3,8,4] => [1,2,1,3,1]
[5,2,8,3,1,7,4,6] => [1,2,1,2,2]
[5,2,1,8,3,7,4,6] => [1,1,2,2,2]
[1,2,8,4,6,7,3,5] => [3,3,2]
[7,2,8,4,6,1,3,5] => [1,2,2,3]
[6,2,7,4,3,8,1,5] => [1,2,1,2,2]
[8,2,5,7,3,4,1,6] => [1,3,2,2]
[7,5,2,8,3,1,4,6] => [1,1,2,1,3]
[1,7,8,4,6,2,3,5] => [3,2,3]
[7,1,8,4,6,2,3,5] => [1,2,2,3]
[1,8,6,5,4,7,2,3] => [2,1,1,2,2]
[5,8,6,1,4,7,2,3] => [2,1,3,2]
[8,1,6,5,4,7,2,3] => [1,2,1,2,2]
[4,1,6,8,7,3,2,5] => [1,3,1,1,2]
[5,1,4,6,7,3,8,2] => [1,4,2,1]
[4,8,6,1,5,7,2,3] => [2,1,3,2]
[4,1,6,2,5,7,8,3] => [1,2,4,1]
[1,5,3,7,2,4,8,6] => [2,2,3,1]
[5,1,3,7,2,4,8,6] => [1,3,3,1]
[3,4,8,2,5,7,1,6] => [3,3,2]
[6,7,3,4,1,2,8,5] => [2,2,3,1]
[7,1,3,4,6,2,8,5] => [1,4,2,1]
[1,7,3,4,6,2,8,5] => [2,3,2,1]
[4,7,2,8,5,3,1,6] => [2,2,1,1,2]
[2,8,5,1,3,4,7,6] => [2,1,4,1]
[8,1,6,5,2,4,7,3] => [1,2,1,3,1]
[8,7,1,4,6,3,2,5] => [1,1,3,1,2]
[5,7,1,3,6,8,2,4] => [2,4,2]
[6,5,2,8,4,7,1,3] => [1,1,2,2,2]
[1,4,7,5,8,6,3,2] => [3,2,1,1,1]
[8,5,7,2,3,6,1,4] => [1,2,3,2]
[6,1,8,3,4,7,2,5] => [1,2,3,2]
[1,7,8,3,4,6,2,5] => [3,3,2]
[1,8,6,3,5,2,7,4] => [2,1,2,2,1]
[7,8,1,3,5,4,2,6] => [2,3,1,2]
[4,7,1,6,8,3,5,2] => [2,3,2,1]
[3,5,8,2,6,4,1,7] => [3,2,1,2]
[3,6,5,2,8,4,1,7] => [2,1,2,1,2]
[4,2,5,8,6,3,7,1] => [1,3,1,2,1]
[7,2,8,3,5,4,1,6] => [1,2,2,1,2]
[8,2,5,6,3,1,7,4] => [1,3,1,2,1]
[4,2,1,5,3,8,7,6] => [1,1,2,2,1,1]
[6,8,2,4,7,3,1,5] => [2,3,1,2]
[1,8,2,4,3,5,7,6] => [2,2,3,1]
[8,7,1,4,2,3,6,5] => [1,1,2,3,1]
[7,1,8,4,2,5,3,6] => [1,2,1,2,2]
[1,4,8,7,5,2,6,3] => [3,1,1,2,1]
[1,4,7,8,5,3,6,2] => [4,1,2,1]
[4,1,8,6,5,7,3,2] => [1,2,1,2,1,1]
[5,7,6,4,1,2,3,8] => [2,1,1,4]
[1,5,6,4,2,3,7,8] => [3,1,4]
[5,7,3,6,8,4,2,1] => [2,3,1,1,1]
[7,4,6,2,5,8,1,3] => [1,2,3,2]
[8,7,3,4,2,6,1,5] => [1,1,2,2,2]
[6,4,1,2,5,3,8,7] => [1,1,3,2,1]
[6,2,3,4,7,1,5,8] => [1,4,3]
[5,8,7,4,2,1,3,6] => [2,1,1,1,3]
[5,2,1,3,8,6,4,7] => [1,1,3,1,2]
[3,1,5,2,7,8,6,4] => [1,2,3,1,1]
[6,3,2,5,1,8,7,4] => [1,1,2,2,1,1]
[6,2,1,3,8,7,4,5] => [1,1,3,1,2]
[1,5,8,7,3,4,2,6] => [3,1,2,2]
[1,8,7,3,2,5,4,6] => [2,1,1,2,2]
[1,2,5,4,8,7,3,6] => [3,2,1,2]
[1,2,4,8,6,3,5,7] => [4,1,3]
[1,5,2,4,7,3,8,6] => [2,3,2,1]
[2,7,4,1,8,6,3,5] => [2,1,2,1,2]
[8,6,3,5,7,4,1,2] => [1,1,3,1,2]
[8,5,3,2,1,4,7,6] => [1,1,1,1,3,1]
[1,7,6,8,5,3,2,4] => [2,2,1,1,2]
[1,2,7,6,8,4,3,5] => [3,2,1,2]
[1,6,3,2,5,7,8,4] => [2,1,4,1]
[1,7,3,4,2,6,8,5] => [2,2,3,1]
[7,4,6,8,5,2,1,3] => [1,3,1,1,2]
[1,6,3,5,8,4,2,7] => [2,3,1,2]
[1,5,6,3,2,8,4,7] => [3,1,2,2]
[1,2,5,8,4,6,3,7] => [4,2,2]
[1,5,3,2,7,8,4,6] => [2,1,3,2]
[3,1,8,5,2,6,4,7] => [1,2,1,2,2]
[5,2,1,3,7,4,8,6] => [1,1,3,2,1]
[4,1,8,6,2,3,7,5] => [1,2,1,3,1]
[4,8,6,3,2,7,5,1] => [2,1,1,2,1,1]
[7,5,8,6,2,3,4,1] => [1,2,1,3,1]
[1,7,6,4,3,8,5,2] => [2,1,1,2,1,1]
[1,8,5,7,6,3,2,4] => [2,2,1,1,2]
[1,4,7,3,6,8,5,2] => [3,3,1,1]
[1,6,3,5,7,8,4,2] => [2,4,1,1]
[1,5,6,3,2,7,8,4] => [3,1,3,1]
[1,2,7,6,8,4,5,3] => [3,2,2,1]
[1,8,4,7,5,3,2,6] => [2,2,1,1,2]
[6,8,5,2,1,7,4,3] => [2,1,1,2,1,1]
[2,8,5,6,3,1,7,4] => [2,2,1,2,1]
[1,2,6,8,4,3,7,5] => [4,1,2,1]
[5,3,7,2,6,4,1,8] => [1,2,2,1,2]
[5,3,8,2,6,1,7,4] => [1,2,2,2,1]
[7,5,2,8,6,1,3,4] => [1,1,2,1,3]
[7,6,2,5,3,4,1,8] => [1,1,2,2,2]
[7,6,2,4,5,3,1,8] => [1,1,3,1,2]
[7,6,2,4,3,5,1,8] => [1,1,2,2,2]
[7,6,2,3,5,4,1,8] => [1,1,3,1,2]
[8,4,2,7,1,6,3,5] => [1,1,2,2,2]
[4,6,3,2,8,1,7,5] => [2,1,2,2,1]
[8,7,6,1,5,3,2,4] => [1,1,1,2,1,2]
[7,8,4,3,1,5,6,2] => [2,1,1,3,1]
[8,7,6,1,4,3,5,2] => [1,1,1,2,2,1]
[8,7,6,1,3,5,4,2] => [1,1,1,3,1,1]
[8,7,6,1,5,4,2,3] => [1,1,1,2,1,2]
[8,6,2,7,1,5,3,4] => [1,1,2,2,2]
[5,3,7,2,8,1,6,4] => [1,2,2,2,1]
[8,3,5,4,2,1,6,7] => [1,2,1,1,3]
[7,8,4,3,1,5,2,6] => [2,1,1,2,2]
[8,6,3,7,1,5,2,4] => [1,1,2,2,2]
[8,7,6,1,2,5,3,4] => [1,1,1,3,2]
[8,7,6,1,2,5,4,3] => [1,1,1,3,1,1]
[8,7,6,1,4,2,5,3] => [1,1,1,2,2,1]
[4,7,5,8,6,1,3,2] => [2,2,1,2,1]
[6,5,7,3,8,4,1,2] => [1,2,2,1,2]
[8,7,5,4,1,2,6,3] => [1,1,1,1,3,1]
[8,6,7,1,5,3,2,4] => [1,2,2,1,2]
[7,5,6,1,3,4,2,8] => [1,2,3,2]
[5,7,8,1,3,4,2,6] => [3,3,2]
[7,8,5,1,3,4,2,6] => [2,1,3,2]
[5,7,8,3,4,6,1,2] => [3,3,2]
[7,5,1,3,4,2,6,8] => [1,1,3,3]
[5,7,1,3,4,2,8,6] => [2,3,2,1]
[7,3,5,6,4,8,1,2] => [1,3,2,2]
[1,7,3,8,2,5,6,4] => [2,2,3,1]
[1,5,3,7,8,4,6,2] => [2,3,2,1]
[1,5,7,3,8,2,6,4] => [3,2,2,1]
[7,1,5,3,6,2,4,8] => [1,2,2,3]
[1,7,3,5,8,4,2,6] => [2,3,1,2]
[1,3,7,5,8,6,2,4] => [3,2,1,2]
[1,7,8,5,3,6,2,4] => [3,1,2,2]
[1,7,5,8,3,4,2,6] => [2,2,2,2]
[7,1,5,6,3,4,2,8] => [1,3,2,2]
[7,3,5,6,4,1,2,8] => [1,3,1,3]
[3,7,5,8,4,1,2,6] => [2,2,1,3]
[7,5,6,8,1,3,4,2] => [1,3,3,1]
[5,3,4,7,8,1,2,6] => [1,4,3]
[5,3,7,6,8,1,2,4] => [1,2,2,3]
[3,7,1,2,5,8,4,6] => [2,4,2]
[3,1,2,7,5,8,4,6] => [1,3,2,2]
[3,1,2,5,7,8,6,4] => [1,5,1,1]
[7,3,1,5,4,6,2,8] => [1,1,2,2,2]
[7,3,5,1,2,6,4,8] => [1,2,3,2]
[3,7,1,2,8,5,6,4] => [2,3,2,1]
[5,3,1,7,4,6,8,2] => [1,1,2,3,1]
[5,3,7,1,2,6,8,4] => [1,2,4,1]
[2,5,7,4,6,3,1,8] => [3,2,1,2]
[7,4,8,3,5,6,1,2] => [1,2,3,2]
[2,4,7,3,5,6,1,8] => [3,3,2]
[5,7,6,4,2,3,1,8] => [2,1,1,2,2]
[7,4,8,2,5,6,1,3] => [1,2,3,2]
[7,5,8,4,6,2,1,3] => [1,2,2,1,2]
[5,8,2,4,6,1,3,7] => [2,3,3]
[6,1,4,8,5,2,7,3] => [1,3,1,2,1]
[5,8,1,2,3,6,7,4] => [2,5,1]
[5,6,8,4,7,2,1,3] => [3,2,1,2]
[4,5,1,8,3,6,7,2] => [2,2,3,1]
[3,4,5,8,1,6,7,2] => [4,3,1]
[4,5,1,8,2,6,7,3] => [2,2,3,1]
[5,8,1,2,4,6,7,3] => [2,5,1]
[6,8,7,4,2,1,5,3] => [2,1,1,1,2,1]
[4,3,2,7,8,6,1,5] => [1,1,3,1,2]
[6,8,7,4,3,1,2,5] => [2,1,1,1,3]
[5,6,8,4,7,3,1,2] => [3,2,1,2]
[7,3,5,4,2,8,1,6] => [1,2,1,2,2]
[7,5,2,4,3,8,1,6] => [1,1,2,2,2]
[2,8,6,4,3,1,5,7] => [2,1,1,1,3]
[8,1,7,4,3,2,5,6] => [1,2,1,1,3]
[3,1,6,8,5,2,7,4] => [1,3,1,2,1]
[2,3,8,1,5,6,4,7] => [3,3,2]
[4,8,1,3,2,6,7,5] => [2,2,3,1]
[5,4,8,1,2,6,7,3] => [1,2,4,1]
[4,8,1,2,3,6,7,5] => [2,5,1]
[4,1,5,8,2,6,7,3] => [1,3,3,1]
[5,1,8,2,4,6,7,3] => [1,2,4,1]
[3,5,1,8,2,6,7,4] => [2,2,3,1]
[2,6,1,8,5,3,7,4] => [2,2,1,2,1]
[3,8,1,2,4,6,7,5] => [2,5,1]
[4,1,8,2,3,6,7,5] => [1,2,4,1]
[5,2,3,8,1,7,4,6] => [1,3,2,2]
[2,3,5,7,1,6,4,8] => [4,2,2]
[1,5,3,8,2,4,6,7] => [2,2,4]
[8,6,2,7,5,1,4,3] => [1,1,2,1,2,1]
[8,6,2,5,3,7,4,1] => [1,1,2,2,1,1]
[2,7,1,8,6,3,5,4] => [2,2,1,2,1]
[5,7,6,1,3,2,8,4] => [2,1,2,2,1]
[5,7,3,2,6,1,4,8] => [2,1,2,3]
[8,6,5,3,7,4,2,1] => [1,1,1,2,1,1,1]
[3,5,4,6,1,7,8,2] => [2,2,3,1]
[8,1,5,4,6,3,7,2] => [1,2,2,2,1]
[2,7,1,5,6,4,3,8] => [2,3,1,2]
[4,7,5,1,8,6,2,3] => [2,1,2,1,2]
[8,4,6,3,1,7,2,5] => [1,2,1,2,2]
[8,4,2,5,6,3,7,1] => [1,1,3,2,1]
[8,6,2,7,5,4,3,1] => [1,1,2,1,1,1,1]
[5,4,7,2,8,6,1,3] => [1,2,2,1,2]
[3,5,6,4,1,7,2,8] => [3,1,2,2]
[2,5,6,1,7,4,3,8] => [3,2,1,2]
[2,7,1,8,6,5,4,3] => [2,2,1,1,1,1]
[3,7,6,1,8,5,4,2] => [2,1,2,1,1,1]
[6,2,8,3,1,4,5,7] => [1,2,1,4]
[2,7,8,3,1,4,5,6] => [3,1,4]
[1,7,8,5,3,2,6,4] => [3,1,1,2,1]
[1,5,3,2,8,6,7,4] => [2,1,2,2,1]
[1,8,5,3,2,6,7,4] => [2,1,1,3,1]
[1,7,8,5,6,3,2,4] => [3,2,1,2]
[1,8,5,6,3,2,7,4] => [2,2,1,2,1]
[1,5,8,6,7,3,2,4] => [3,2,1,2]
[1,5,6,7,3,2,8,4] => [4,1,2,1]
[1,7,5,2,3,4,8,6] => [2,1,4,1]
[1,7,5,2,4,8,6,3] => [2,1,3,1,1]
[1,7,8,5,2,4,6,3] => [3,1,3,1]
[1,8,5,2,4,6,7,3] => [2,1,4,1]
[1,6,7,8,3,2,4,5] => [4,1,3]
[1,4,8,6,2,3,5,7] => [3,1,4]
[1,7,8,3,2,4,5,6] => [3,1,4]
[1,4,5,8,6,7,2,3] => [4,2,2]
[1,8,4,5,6,7,2,3] => [2,4,2]
[1,2,8,6,7,4,3,5] => [3,2,1,2]
[1,2,8,6,3,4,5,7] => [3,1,4]
[1,2,8,6,3,5,7,4] => [3,1,3,1]
[1,2,7,4,3,8,5,6] => [3,1,2,2]
[1,2,7,8,4,3,5,6] => [4,1,3]
[1,8,6,7,4,2,3,5] => [2,2,1,3]
[1,6,7,8,4,2,3,5] => [4,1,3]
[1,6,7,3,5,2,8,4] => [3,2,2,1]
[1,6,7,8,3,4,2,5] => [4,2,2]
[1,7,8,5,6,2,3,4] => [3,2,3]
[1,8,6,2,3,5,7,4] => [2,1,4,1]
[1,7,4,2,3,8,5,6] => [2,1,3,2]
[1,7,8,4,2,3,5,6] => [3,1,4]
[1,7,3,5,6,2,8,4] => [2,3,2,1]
[1,7,8,3,4,2,5,6] => [3,2,3]
[1,5,8,6,7,2,3,4] => [3,2,3]
[1,2,3,7,8,5,4,6] => [5,1,2]
[1,2,7,4,6,3,8,5] => [3,2,2,1]
[1,2,8,6,7,3,4,5] => [3,2,3]
[1,7,4,5,2,3,8,6] => [2,2,3,1]
[1,7,8,4,5,2,3,6] => [3,2,3]
[1,7,8,3,4,5,2,6] => [3,3,2]
[1,2,8,4,5,6,3,7] => [3,3,2]
[1,8,4,5,6,2,3,7] => [2,3,3]
[8,2,5,6,3,4,1,7] => [1,3,2,2]
[5,8,2,7,3,4,1,6] => [2,2,2,2]
[6,8,7,2,3,4,1,5] => [2,1,3,2]
[3,8,7,5,2,6,1,4] => [2,1,1,2,2]
[8,2,3,6,4,5,1,7] => [1,3,2,2]
[8,2,4,6,3,5,1,7] => [1,3,2,2]
[3,4,2,7,8,5,1,6] => [2,3,1,2]
[4,8,7,3,2,5,1,6] => [2,1,1,2,2]
[5,8,4,2,6,7,3,1] => [2,1,3,1,1]
[5,3,8,1,6,7,4,2] => [1,2,3,1,1]
[5,2,8,1,6,4,7,3] => [1,2,2,2,1]
[5,8,2,1,3,7,6,4] => [2,1,3,1,1]
[8,3,4,1,2,6,5,7] => [1,2,3,2]
[1,4,3,2,8,5,7,6] => [2,1,2,2,1]
[5,1,8,2,6,4,7,3] => [1,2,2,2,1]
[5,1,8,3,6,7,4,2] => [1,2,3,1,1]
[5,2,8,3,6,7,4,1] => [1,2,3,1,1]
[3,1,8,4,6,2,7,5] => [1,2,2,2,1]
[8,4,1,6,5,2,3,7] => [1,1,2,1,3]
[1,8,7,6,4,3,5,2] => [2,1,1,1,2,1]
[3,1,4,7,5,8,2,6] => [1,3,2,2]
[3,1,7,5,6,8,4,2] => [1,2,3,1,1]
[6,1,8,7,5,3,4,2] => [1,2,1,1,2,1]
[6,1,8,7,5,4,2,3] => [1,2,1,1,1,2]
[8,3,5,6,1,4,2,7] => [1,3,2,2]
[6,8,7,3,2,4,1,5] => [2,1,1,2,2]
[2,3,7,5,6,8,4,1] => [3,3,1,1]
[3,2,4,7,5,8,1,6] => [1,3,2,2]
[2,8,7,6,5,3,1,4] => [2,1,1,1,1,2]
[2,8,7,6,4,5,1,3] => [2,1,1,2,2]
[3,8,7,6,4,1,5,2] => [2,1,1,1,2,1]
[3,8,7,6,4,2,5,1] => [2,1,1,1,2,1]
[1,3,4,7,5,2,8,6] => [4,1,2,1]
[2,3,7,4,6,8,1,5] => [3,3,2]
[4,8,7,6,2,5,1,3] => [2,1,1,2,2]
[4,8,7,6,3,1,5,2] => [2,1,1,1,2,1]
[3,5,2,4,7,6,8,1] => [2,3,2,1]
[5,3,2,6,4,7,8,1] => [1,1,2,3,1]
[5,3,2,6,7,4,8,1] => [1,1,3,2,1]
[5,3,2,7,6,4,8,1] => [1,1,2,1,2,1]
[7,3,5,2,8,4,6,1] => [1,2,2,2,1]
[3,5,2,7,4,6,8,1] => [2,2,3,1]
[3,2,5,7,4,6,8,1] => [1,3,3,1]
[3,2,7,5,4,8,6,1] => [1,2,1,2,1,1]
[3,7,5,2,4,8,6,1] => [2,1,3,1,1]
[2,3,7,5,4,8,6,1] => [3,1,2,1,1]
[8,3,5,1,6,4,7,2] => [1,2,2,2,1]
[8,4,5,6,1,3,7,2] => [1,3,3,1]
[3,4,7,6,8,2,5,1] => [3,2,2,1]
[5,2,8,4,1,3,6,7] => [1,2,1,4]
[3,8,5,2,1,4,6,7] => [2,1,1,4]
[7,6,4,1,8,2,5,3] => [1,1,1,2,2,1]
[7,5,4,2,1,6,3,8] => [1,1,1,1,2,2]
[8,1,6,7,3,4,2,5] => [1,3,2,2]
[8,2,1,6,7,4,3,5] => [1,1,3,1,2]
[5,2,8,6,3,7,1,4] => [1,2,1,2,2]
[7,6,8,1,2,5,4,3] => [1,2,3,1,1]
[2,1,3,4,8,5,7,6] => [1,4,2,1]
[5,7,1,2,6,8,3,4] => [2,4,2]
[1,5,2,3,6,8,7,4] => [2,4,1,1]
[3,7,4,5,2,8,1,6] => [2,2,2,2]
[2,7,4,3,1,8,5,6] => [2,1,1,2,2]
[3,5,7,4,1,8,2,6] => [3,1,2,2]
[2,5,4,6,8,3,1,7] => [2,3,1,2]
[8,3,6,4,1,2,5,7] => [1,2,1,4]
[7,4,6,5,8,2,1,3] => [1,2,2,1,2]
[8,6,4,7,5,1,2,3] => [1,1,2,1,3]
[1,6,2,5,8,7,4,3] => [2,3,1,1,1]
[3,7,4,5,6,2,8,1] => [2,3,2,1]
[7,3,1,8,5,4,6,2] => [1,1,2,1,2,1]
[8,4,3,1,6,5,2,7] => [1,1,1,2,1,2]
[2,3,8,5,6,4,1,7] => [3,2,1,2]
[2,7,4,8,6,1,3,5] => [2,2,1,3]
[8,6,4,1,2,5,3,7] => [1,1,1,3,2]
[2,8,4,3,1,6,5,7] => [2,1,1,2,2]
[6,4,8,2,3,1,5,7] => [1,2,2,3]
[3,8,4,6,1,5,2,7] => [2,2,2,2]
[4,5,1,8,2,6,3,7] => [2,2,2,2]
[6,1,8,4,3,2,7,5] => [1,2,1,1,2,1]
[8,1,5,6,3,4,7,2] => [1,3,3,1]
[8,6,2,5,4,7,1,3] => [1,1,2,2,2]
[2,8,5,7,6,3,1,4] => [2,2,1,1,2]
[8,5,3,1,7,6,4,2] => [1,1,1,2,1,1,1]
[8,3,5,6,1,4,7,2] => [1,3,3,1]
[4,5,8,3,6,2,7,1] => [3,2,2,1]
[7,2,1,6,5,3,8,4] => [1,1,2,1,2,1]
[5,6,4,1,7,8,2,3] => [2,1,3,2]
[5,1,6,4,8,7,3,2] => [1,2,2,1,1,1]
[2,4,6,7,5,1,8,3] => [4,1,2,1]
[7,6,4,1,5,3,2,8] => [1,1,1,2,1,2]
[6,8,7,4,1,5,3,2] => [2,1,1,2,1,1]
[6,8,7,3,5,4,2,1] => [2,1,2,1,1,1]
[3,1,2,8,5,7,4,6] => [1,3,2,2]
[7,3,1,2,5,8,4,6] => [1,1,4,2]
[8,3,5,7,2,1,4,6] => [1,3,1,3]
[2,1,3,8,5,7,4,6] => [1,3,2,2]
[7,3,1,2,8,4,5,6] => [1,1,3,3]
[2,1,4,7,6,3,5,8] => [1,3,1,3]
[7,2,4,5,3,8,1,6] => [1,3,2,2]
[8,4,2,5,6,7,3,1] => [1,1,4,1,1]
[5,4,1,6,3,7,8,2] => [1,1,2,3,1]
[4,5,1,3,6,7,8,2] => [2,5,1]
[5,1,7,6,3,4,8,2] => [1,2,1,3,1]
[6,1,7,5,4,8,2,3] => [1,2,1,2,2]
[3,7,2,1,6,8,4,5] => [2,1,3,2]
[1,5,8,2,4,7,6,3] => [3,3,1,1]
[5,8,1,6,4,7,3,2] => [2,2,2,1,1]
[3,8,6,5,7,2,4,1] => [2,1,2,2,1]
[6,8,1,4,7,3,5,2] => [2,3,2,1]
[1,6,8,2,7,4,5,3] => [3,2,2,1]
[5,7,2,1,8,4,3,6] => [2,1,2,1,2]
[5,7,1,6,8,3,2,4] => [2,3,1,2]
[5,6,2,1,8,3,4,7] => [2,1,2,3]
[6,4,1,7,3,8,2,5] => [1,1,2,2,2]
[8,2,5,6,7,1,4,3] => [1,4,2,1]
[7,2,4,6,8,3,1,5] => [1,4,1,2]
[6,2,4,7,8,1,3,5] => [1,4,3]
[6,1,4,3,2,8,5,7] => [1,2,1,2,2]
[2,7,4,8,6,1,5,3] => [2,2,1,2,1]
[2,4,8,6,5,7,3,1] => [3,1,2,1,1]
[3,7,8,6,4,2,5,1] => [3,1,1,2,1]
[6,2,8,4,7,5,1,3] => [1,2,2,1,2]
[4,5,7,3,6,8,1,2] => [3,3,2]
[3,4,7,8,6,5,1,2] => [4,1,1,2]
[1,4,7,2,6,8,5,3] => [3,3,1,1]
[2,3,7,6,5,1,4,8] => [3,1,1,3]
[3,2,7,6,4,1,5,8] => [1,2,1,1,3]
[6,2,3,5,7,1,4,8] => [1,4,3]
[7,8,1,2,5,6,4,3] => [2,4,1,1]
[7,1,3,6,8,5,2,4] => [1,4,1,2]
[4,2,8,5,1,6,3,7] => [1,2,1,2,2]
[6,5,8,1,4,2,3,7] => [1,2,2,3]
[3,8,2,4,5,1,6,7] => [2,3,3]
[3,6,2,4,1,5,7,8] => [2,2,4]
[2,3,8,4,1,6,5,7] => [3,1,2,2]
[4,5,7,3,1,6,2,8] => [3,1,2,2]
[2,3,1,4,8,5,7,6] => [2,3,2,1]
[4,2,6,1,5,8,7,3] => [1,2,3,1,1]
[7,5,1,8,4,3,6,2] => [1,1,2,1,2,1]
[3,1,8,5,7,6,4,2] => [1,2,2,1,1,1]
[5,1,8,7,4,6,3,2] => [1,2,1,2,1,1]
[3,8,6,2,5,1,4,7] => [2,1,2,3]
[6,8,7,2,5,1,4,3] => [2,1,2,2,1]
[5,7,2,8,6,1,4,3] => [2,2,1,2,1]
[6,4,8,7,5,1,3,2] => [1,2,1,1,2,1]
[6,2,8,7,4,1,3,5] => [1,2,1,1,3]
[6,2,5,8,7,1,4,3] => [1,3,1,2,1]
[2,4,8,6,5,1,3,7] => [3,1,1,3]
[2,4,8,7,5,1,3,6] => [3,1,1,3]
[3,5,7,6,1,8,4,2] => [3,1,2,1,1]
[3,5,7,6,2,8,4,1] => [3,1,2,1,1]
[2,5,7,6,1,8,3,4] => [3,1,2,2]
[5,1,4,7,3,8,6,2] => [1,3,2,1,1]
[1,3,8,7,2,5,4,6] => [3,1,2,2]
[1,5,6,2,8,7,4,3] => [3,2,1,1,1]
[2,5,3,8,7,6,4,1] => [2,2,1,1,1,1]
[1,5,3,2,8,7,6,4] => [2,1,2,1,1,1]
[6,1,4,3,8,7,5,2] => [1,2,2,1,1,1]
[6,2,4,1,8,7,5,3] => [1,2,2,1,1,1]
[3,4,1,8,7,5,2,6] => [2,2,1,1,2]
[4,5,2,8,7,6,3,1] => [2,2,1,1,1,1]
[6,4,1,8,7,5,2,3] => [1,1,2,1,1,2]
[6,3,1,8,7,4,2,5] => [1,1,2,1,1,2]
[4,2,5,1,8,6,3,7] => [1,2,2,1,2]
[3,6,2,8,1,7,4,5] => [2,2,2,2]
[4,2,8,5,1,7,3,6] => [1,2,1,2,2]
[5,3,6,2,8,7,4,1] => [1,2,2,1,1,1]
[6,3,5,2,1,8,7,4] => [1,2,1,2,1,1]
[6,2,5,1,4,8,7,3] => [1,2,3,1,1]
[2,8,4,1,3,7,6,5] => [2,1,3,1,1]
[4,8,7,1,3,6,5,2] => [2,1,3,1,1]
[3,8,1,4,7,6,5,2] => [2,3,1,1,1]
[4,2,7,3,8,6,5,1] => [1,2,2,1,1,1]
[3,1,8,6,2,5,4,7] => [1,2,1,2,2]
[2,7,1,8,3,6,5,4] => [2,2,2,1,1]
[5,2,1,7,4,8,6,3] => [1,1,2,2,1,1]
[5,1,2,8,6,4,3,7] => [1,3,1,1,2]
[6,2,3,8,7,5,4,1] => [1,3,1,1,1,1]
[5,2,3,8,7,6,4,1] => [1,3,1,1,1,1]
[2,8,1,3,7,6,4,5] => [2,3,1,2]
[4,1,3,5,8,7,6,2] => [1,4,1,1,1]
[3,4,7,5,8,1,2,6] => [3,2,3]
[2,7,8,3,4,1,5,6] => [3,2,3]
[2,8,6,7,5,4,3,1] => [2,2,1,1,1,1]
[7,2,6,8,1,4,3,5] => [1,3,2,2]
[5,3,6,2,8,4,7,1] => [1,2,2,2,1]
[8,1,6,3,7,4,5,2] => [1,2,2,2,1]
[2,4,3,7,1,8,6,5] => [2,2,2,1,1]
[2,6,5,7,3,8,4,1] => [2,2,2,1,1]
[6,8,2,7,4,1,5,3] => [2,2,1,2,1]
[6,1,7,8,5,3,2,4] => [1,3,1,1,2]
[2,6,5,4,7,1,8,3] => [2,1,2,2,1]
[5,8,3,4,6,1,7,2] => [2,3,2,1]
[6,1,7,4,2,5,8,3] => [1,2,1,3,1]
[6,8,7,1,5,4,2,3] => [2,1,2,1,2]
[4,8,3,1,5,7,6,2] => [2,1,3,1,1]
[5,3,8,2,7,1,6,4] => [1,2,2,2,1]
[8,2,7,1,6,5,3,4] => [1,2,2,1,2]
[5,3,4,8,2,7,1,6] => [1,3,2,2]
[8,3,4,5,2,7,1,6] => [1,3,2,2]
[6,3,4,7,1,5,2,8] => [1,3,2,2]
[6,7,1,5,3,4,8,2] => [2,2,3,1]
[6,5,3,4,7,1,8,2] => [1,1,3,2,1]
[5,3,4,7,1,6,8,2] => [1,3,3,1]
[7,1,5,3,4,6,8,2] => [1,2,4,1]
[8,2,6,7,1,5,3,4] => [1,3,2,2]
[8,3,4,7,1,5,2,6] => [1,3,2,2]
[7,1,5,2,6,3,4,8] => [1,2,2,3]
[3,7,1,5,2,6,8,4] => [2,2,3,1]
[8,3,4,6,7,1,5,2] => [1,4,2,1]
[7,1,6,8,3,4,5,2] => [1,3,3,1]
[6,7,1,8,3,4,5,2] => [2,2,3,1]
[8,7,1,6,3,4,5,2] => [1,1,2,3,1]
[6,3,4,8,7,1,5,2] => [1,3,1,2,1]
[3,8,7,1,5,2,6,4] => [2,1,2,2,1]
[3,4,8,7,1,5,2,6] => [3,1,2,2]
[3,6,5,2,8,7,1,4] => [2,1,2,1,2]
[3,6,7,1,8,4,5,2] => [3,2,2,1]
[3,7,1,6,8,4,5,2] => [2,3,2,1]
[3,8,4,6,7,1,5,2] => [2,3,2,1]
[3,8,5,2,6,7,1,4] => [2,1,3,2]
[3,7,1,4,8,5,2,6] => [2,3,1,2]
[3,6,5,2,7,1,4,8] => [2,1,2,3]
[3,7,1,4,6,5,2,8] => [2,3,1,2]
[3,7,1,8,4,6,5,2] => [2,2,2,1,1]
[6,8,3,4,7,1,5,2] => [2,3,2,1]
[3,6,4,7,1,5,2,8] => [2,2,2,2]
[3,7,1,6,4,5,2,8] => [2,2,2,2]
[3,8,4,5,2,7,1,6] => [2,2,2,2]
[3,7,1,6,5,2,8,4] => [2,2,1,2,1]
[7,1,6,5,2,8,3,4] => [1,2,1,2,2]
[8,3,5,2,7,1,6,4] => [1,2,2,2,1]
[7,1,8,4,6,3,5,2] => [1,2,2,2,1]
[3,4,8,5,2,7,1,6] => [3,1,2,2]
[3,4,7,1,6,5,2,8] => [3,2,1,2]
[3,4,6,7,1,5,2,8] => [4,2,2]
[7,1,5,2,8,6,3,4] => [1,2,2,1,2]
[8,6,3,4,7,1,5,2] => [1,1,3,2,1]
[3,7,1,6,4,8,5,2] => [2,2,2,1,1]
[3,8,6,4,7,1,5,2] => [2,1,2,2,1]
[3,7,1,4,8,6,5,2] => [2,3,1,1,1]
[3,7,1,4,5,2,8,6] => [2,3,2,1]
[3,6,7,1,4,5,2,8] => [3,3,2]
[3,5,2,6,7,1,4,8] => [2,3,3]
[3,5,2,8,6,7,1,4] => [2,2,2,2]
[3,6,8,7,1,4,5,2] => [3,1,3,1]
[3,5,2,6,8,7,1,4] => [2,3,1,2]
[2,5,4,6,7,8,1,3] => [2,4,2]
[2,3,7,6,5,8,1,4] => [3,1,2,2]
[2,6,5,4,7,8,1,3] => [2,1,3,2]
[3,5,7,6,8,2,1,4] => [3,2,1,2]
[4,2,5,3,7,6,1,8] => [1,2,2,1,2]
[6,2,4,3,7,5,1,8] => [1,2,2,1,2]
[1,3,6,4,7,5,2,8] => [3,2,1,2]
[8,2,5,3,6,4,1,7] => [1,2,2,1,2]
[7,2,5,3,6,4,1,8] => [1,2,2,1,2]
[6,2,5,3,7,4,1,8] => [1,2,2,1,2]
[4,2,6,3,7,5,1,8] => [1,2,2,1,2]
[5,2,7,3,6,4,1,8] => [1,2,2,1,2]
[7,3,6,2,5,4,1,8] => [1,2,2,1,2]
[6,3,8,2,5,4,1,7] => [1,2,2,1,2]
[7,3,1,4,6,5,2,8] => [1,1,3,1,2]
[8,3,7,2,5,4,1,6] => [1,2,2,1,2]
[5,2,8,3,6,4,1,7] => [1,2,2,1,2]
[3,2,8,4,6,5,1,7] => [1,2,2,1,2]
[1,4,7,3,6,5,2,8] => [3,2,1,2]
[8,2,5,4,1,6,3,7] => [1,2,1,2,2]
[8,2,6,4,1,5,3,7] => [1,2,1,2,2]
[1,4,8,3,7,5,2,6] => [3,2,1,2]
[6,2,1,4,8,5,3,7] => [1,1,3,1,2]
[5,2,1,4,8,6,3,7] => [1,1,3,1,2]
[3,2,1,5,8,6,4,7] => [1,1,3,1,2]
[4,2,8,3,7,5,1,6] => [1,2,2,1,2]
[5,2,8,3,7,4,1,6] => [1,2,2,1,2]
[8,3,7,2,6,4,1,5] => [1,2,2,1,2]
[7,3,1,4,8,5,2,6] => [1,1,3,1,2]
[1,3,7,4,8,5,2,6] => [3,2,1,2]
[8,2,6,3,7,4,1,5] => [1,2,2,1,2]
[7,2,6,3,8,4,1,5] => [1,2,2,1,2]
[5,2,7,3,8,4,1,6] => [1,2,2,1,2]
[3,2,7,4,8,5,1,6] => [1,2,2,1,2]
[5,2,6,3,8,4,1,7] => [1,2,2,1,2]
[6,2,5,3,8,4,1,7] => [1,2,2,1,2]
[7,2,5,3,8,4,1,6] => [1,2,2,1,2]
[8,2,5,3,7,4,1,6] => [1,2,2,1,2]
[1,3,6,4,8,5,2,7] => [3,2,1,2]
[1,3,5,4,8,6,2,7] => [3,2,1,2]
[8,2,4,3,7,5,1,6] => [1,2,2,1,2]
[7,2,4,3,8,5,1,6] => [1,2,2,1,2]
[6,2,4,3,8,5,1,7] => [1,2,2,1,2]
[5,2,4,3,8,6,1,7] => [1,2,2,1,2]
[4,2,5,3,8,6,1,7] => [1,2,2,1,2]
[4,2,5,3,1,7,6,8] => [1,2,1,2,2]
[6,2,4,3,1,7,5,8] => [1,2,1,2,2]
[7,2,4,3,1,6,5,8] => [1,2,1,2,2]
[8,5,1,3,6,4,2,7] => [1,1,3,1,2]
[8,4,1,3,6,5,2,7] => [1,1,3,1,2]
[1,5,2,4,7,6,3,8] => [2,3,1,2]
[7,2,5,3,1,6,4,8] => [1,2,1,2,2]
[6,2,5,3,1,7,4,8] => [1,2,1,2,2]
[4,2,6,3,1,7,5,8] => [1,2,1,2,2]
[3,2,6,4,1,7,5,8] => [1,2,1,2,2]
[3,2,7,4,1,6,5,8] => [1,2,1,2,2]
[4,2,7,3,1,6,5,8] => [1,2,1,2,2]
[5,2,7,3,1,6,4,8] => [1,2,1,2,2]
[6,2,7,3,1,5,4,8] => [1,2,1,2,2]
[7,2,6,3,1,5,4,8] => [1,2,1,2,2]
[1,5,2,4,8,6,3,7] => [2,3,1,2]
[8,4,1,3,7,5,2,6] => [1,1,3,1,2]
[6,2,1,5,3,7,4,8] => [1,1,2,2,2]
[3,2,1,6,4,7,5,8] => [1,1,2,2,2]
[3,2,8,5,1,6,4,7] => [1,2,1,2,2]
[6,2,8,4,1,5,3,7] => [1,2,1,2,2]
[8,3,7,4,1,5,2,6] => [1,2,1,2,2]
[7,1,3,2,5,6,4,8] => [1,2,3,2]
[4,2,8,7,5,6,1,3] => [1,2,1,2,2]
[2,8,1,7,4,5,6,3] => [2,2,3,1]
[6,3,5,2,4,8,1,7] => [1,2,3,2]
[1,5,2,8,7,4,3,6] => [2,2,1,1,2]
[5,7,1,2,6,4,3,8] => [2,3,1,2]
[1,8,2,5,7,4,3,6] => [2,3,1,2]
[1,6,4,3,2,5,8,7] => [2,1,1,3,1]
[2,5,6,7,1,4,3,8] => [4,2,2]
[5,7,2,8,1,4,3,6] => [2,2,2,2]
[5,8,2,7,1,4,3,6] => [2,2,2,2]
[7,5,1,2,6,4,3,8] => [1,1,3,1,2]
[5,2,1,6,8,4,3,7] => [1,1,3,1,2]
[6,2,8,5,1,4,3,7] => [1,2,1,2,2]
[7,8,1,6,3,2,4,5] => [2,2,1,3]
[7,3,6,4,1,2,8,5] => [1,2,1,3,1]
[2,3,7,8,4,1,5,6] => [4,1,3]
[5,4,7,2,3,8,1,6] => [1,2,3,2]
[4,8,3,1,5,2,7,6] => [2,1,2,2,1]
[2,3,5,8,7,6,1,4] => [4,1,1,2]
[7,3,5,1,4,6,2,8] => [1,2,3,2]
[3,8,5,1,2,6,4,7] => [2,1,3,2]
[5,2,1,8,6,4,3,7] => [1,1,2,1,1,2]
[1,2,6,5,8,4,3,7] => [3,2,1,2]
[5,1,7,2,6,4,3,8] => [1,2,2,1,2]
[7,1,5,3,2,6,8,4] => [1,2,1,3,1]
[3,1,5,7,8,6,2,4] => [1,4,1,2]
[1,8,7,2,6,4,3,5] => [2,1,2,1,2]
[6,2,3,5,8,7,4,1] => [1,4,1,1,1]
[8,6,2,3,1,5,7,4] => [1,1,2,3,1]
[7,3,5,2,1,4,8,6] => [1,2,1,3,1]
[2,6,3,8,7,4,5,1] => [2,2,1,2,1]
[6,4,5,8,7,3,2,1] => [1,3,1,1,1,1]
[1,7,3,6,8,5,2,4] => [2,3,1,2]
[1,8,5,2,4,7,3,6] => [2,1,3,2]
[2,5,1,7,4,8,6,3] => [2,2,2,1,1]
[8,6,7,3,5,2,1,4] => [1,2,2,1,2]
[1,4,2,7,3,6,8,5] => [2,2,3,1]
[3,2,1,7,8,5,4,6] => [1,1,3,1,2]
[7,3,4,2,1,5,8,6] => [1,2,1,3,1]
[8,6,2,3,7,4,1,5] => [1,1,3,1,2]
[1,4,3,8,6,5,2,7] => [2,2,1,1,2]
[1,4,7,5,3,8,6,2] => [3,1,2,1,1]
[8,6,7,4,1,5,2,3] => [1,2,1,2,2]
[6,8,5,2,1,3,7,4] => [2,1,1,3,1]
[1,7,6,3,2,4,8,5] => [2,1,1,3,1]
[2,7,8,6,4,1,5,3] => [3,1,1,2,1]
[2,1,6,4,7,8,5,3] => [1,2,3,1,1]
[1,6,3,2,4,7,8,5] => [2,1,4,1]
[1,2,3,7,5,8,4,6] => [4,2,2]
[1,8,5,3,2,4,7,6] => [2,1,1,3,1]
[6,7,8,2,5,1,4,3] => [3,2,2,1]
[7,4,8,6,2,3,5,1] => [1,2,1,3,1]
[6,2,5,7,8,1,4,3] => [1,4,2,1]
[2,4,5,8,6,1,3,7] => [4,1,3]
[4,7,8,1,5,6,2,3] => [3,3,2]
[3,6,7,1,8,4,2,5] => [3,2,1,2]
[2,3,7,5,1,6,4,8] => [3,1,2,2]
[2,6,3,5,1,8,4,7] => [2,2,2,2]
[7,2,4,6,1,8,5,3] => [1,3,2,1,1]
[1,3,7,6,2,4,5,8] => [3,1,4]
[1,6,7,2,8,3,5,4] => [3,2,2,1]
[2,7,3,8,4,5,6,1] => [2,2,3,1]
[1,4,2,7,5,3,6,8] => [2,2,1,3]
[1,3,8,2,7,4,5,6] => [3,2,3]
[7,1,4,3,8,5,6,2] => [1,2,2,2,1]
[3,4,1,8,5,7,2,6] => [2,2,2,2]
[3,4,1,5,8,6,2,7] => [2,3,1,2]
[5,6,2,7,8,3,4,1] => [2,3,2,1]
[7,4,1,8,5,6,2,3] => [1,1,2,2,2]
[7,2,5,8,1,6,3,4] => [1,3,2,2]
[6,4,8,1,5,7,2,3] => [1,2,3,2]
[5,8,4,2,6,3,7,1] => [2,1,2,2,1]
[6,2,5,1,4,7,8,3] => [1,2,4,1]
[2,7,4,1,3,6,8,5] => [2,1,4,1]
[5,7,1,2,6,4,8,3] => [2,3,2,1]
[5,1,8,2,3,7,6,4] => [1,2,3,1,1]
[3,1,8,5,2,4,7,6] => [1,2,1,3,1]
[5,2,1,8,4,6,7,3] => [1,1,2,3,1]
[6,2,1,4,7,5,8,3] => [1,1,3,2,1]
[2,8,1,3,7,4,6,5] => [2,3,2,1]
[6,2,3,8,4,5,7,1] => [1,3,3,1]
[2,6,1,3,4,8,7,5] => [2,4,1,1]
[1,2,6,3,5,7,8,4] => [3,4,1]
[1,2,8,4,6,3,5,7] => [3,2,3]
[2,6,1,5,4,7,3,8] => [2,2,2,2]
[1,2,8,5,4,6,3,7] => [3,1,2,2]
[1,3,6,8,4,5,7,2] => [4,3,1]
[1,2,8,4,6,3,7,5] => [3,2,2,1]
[4,6,3,5,7,8,1,2] => [2,4,2]
[2,7,6,5,1,4,8,3] => [2,1,1,3,1]
[2,7,4,8,1,3,6,5] => [2,2,3,1]
[2,3,6,8,4,1,7,5] => [4,1,2,1]
[1,2,6,8,4,7,5,3] => [4,2,1,1]
[1,7,2,8,6,3,5,4] => [2,2,1,2,1]
[2,3,8,5,4,7,1,6] => [3,1,2,2]
[1,2,8,4,7,3,5,6] => [3,2,3]
[2,6,1,4,8,3,7,5] => [2,3,2,1]
[3,7,6,5,2,1,4,8] => [2,1,1,1,3]
[2,5,6,1,4,8,7,3] => [3,3,1,1]
[2,3,5,8,7,1,6,4] => [4,1,2,1]
[8,4,2,3,7,1,6,5] => [1,1,3,2,1]
[5,2,4,8,7,3,1,6] => [1,3,1,1,2]
[3,5,7,6,1,8,2,4] => [3,1,2,2]
[8,3,2,6,7,4,1,5] => [1,1,3,1,2]
[6,5,7,3,1,2,8,4] => [1,2,1,3,1]
[3,8,2,4,1,7,6,5] => [2,2,2,1,1]
[3,5,8,2,6,7,1,4] => [3,3,2]
[6,5,7,1,2,8,4,3] => [1,2,3,1,1]
[3,2,4,6,7,8,1,5] => [1,5,2]
[3,7,2,4,1,5,6,8] => [2,2,4]
[3,2,4,6,7,1,5,8] => [1,4,3]
[5,7,6,1,2,8,4,3] => [2,1,3,1,1]
[6,5,1,2,7,4,3,8] => [1,1,3,1,2]
[5,2,6,8,1,3,7,4] => [1,3,3,1]
[4,8,1,6,3,7,5,2] => [2,2,2,1,1]
[2,4,7,3,5,1,8,6] => [3,2,2,1]
[7,1,5,2,6,4,3,8] => [1,2,2,1,2]
[8,3,5,2,6,1,4,7] => [1,2,2,3]
[5,6,1,3,8,7,4,2] => [2,3,1,1,1]
[1,8,5,6,2,7,4,3] => [2,2,2,1,1]
[8,3,5,2,6,7,1,4] => [1,2,3,2]
[8,3,2,4,6,7,1,5] => [1,1,4,2]
[3,7,2,4,6,1,5,8] => [2,3,3]
[3,2,4,7,1,5,6,8] => [1,3,4]
[3,8,2,4,1,5,6,7] => [2,2,4]
[8,3,5,7,2,6,1,4] => [1,3,2,2]
[4,2,7,6,1,8,5,3] => [1,2,1,2,1,1]
[7,3,2,1,6,8,5,4] => [1,1,1,3,1,1]
[7,2,4,8,6,3,5,1] => [1,3,1,2,1]
[7,3,2,1,8,5,4,6] => [1,1,1,2,1,2]
[7,3,2,1,6,4,8,5] => [1,1,1,2,2,1]
[3,5,2,1,8,4,7,6] => [2,1,2,2,1]
[3,6,5,2,1,8,4,7] => [2,1,1,2,2]
[6,3,8,4,2,5,1,7] => [1,2,1,2,2]
[6,7,2,4,3,5,8,1] => [2,2,3,1]
[3,6,7,4,2,5,1,8] => [3,1,2,2]
[6,4,7,3,2,1,5,8] => [1,2,1,1,3]
[5,3,6,2,1,7,4,8] => [1,2,1,2,2]
[3,2,6,5,1,7,4,8] => [1,2,1,2,2]
[4,3,2,7,1,6,5,8] => [1,1,2,2,2]
[4,5,3,7,2,1,6,8] => [2,2,1,3]
[4,3,8,2,1,5,7,6] => [1,2,1,3,1]
[4,3,2,8,1,6,7,5] => [1,1,2,3,1]
[4,5,8,3,2,7,1,6] => [3,1,2,2]
[5,8,3,4,7,2,1,6] => [2,3,1,2]
[6,8,5,2,7,3,4,1] => [2,1,2,2,1]
[2,5,4,6,1,8,7,3] => [2,2,2,1,1]
[5,3,6,2,1,7,8,4] => [1,2,1,3,1]
[6,4,7,3,2,8,1,5] => [1,2,1,2,2]
[3,6,7,4,8,2,1,5] => [3,2,1,2]
[6,7,2,4,8,3,5,1] => [2,3,2,1]
[5,4,7,8,2,3,6,1] => [1,3,3,1]
[4,3,8,2,1,6,7,5] => [1,2,1,3,1]
[4,3,2,8,1,5,7,6] => [1,1,2,3,1]
[4,5,3,2,6,8,1,7] => [2,1,3,2]
[3,6,7,4,5,2,8,1] => [3,2,2,1]
[3,4,7,5,6,2,8,1] => [3,2,2,1]
[3,5,7,4,6,2,8,1] => [3,2,2,1]
[4,5,2,3,7,6,8,1] => [2,3,2,1]
[6,3,5,1,7,8,4,2] => [1,2,3,1,1]
[5,3,7,6,2,4,8,1] => [1,2,1,3,1]
[5,2,7,6,3,4,8,1] => [1,2,1,3,1]
[5,2,7,6,4,3,8,1] => [1,2,1,1,2,1]
[4,6,7,2,5,3,8,1] => [3,2,2,1]
[4,6,7,3,5,2,8,1] => [3,2,2,1]
[5,3,7,6,4,2,8,1] => [1,2,1,1,2,1]
[6,4,7,8,3,1,5,2] => [1,3,1,2,1]
[8,4,7,3,1,5,6,2] => [1,2,1,3,1]
[7,4,8,6,2,5,1,3] => [1,2,1,2,2]
[6,4,7,8,1,3,5,2] => [1,3,3,1]
[6,3,1,5,7,8,4,2] => [1,1,4,1,1]
[5,6,7,3,8,1,4,2] => [3,2,2,1]
[8,4,1,7,2,5,6,3] => [1,1,2,3,1]
[5,8,1,7,6,4,2,3] => [2,2,1,1,2]
[2,6,7,8,5,4,1,3] => [4,1,1,2]
[1,6,7,8,5,4,2,3] => [4,1,1,2]
[5,6,7,1,8,3,4,2] => [3,2,2,1]
[6,1,7,8,3,4,5,2] => [1,3,3,1]
[7,1,8,6,2,5,4,3] => [1,2,1,2,1,1]
[8,2,1,6,4,5,7,3] => [1,1,2,3,1]
[8,5,1,7,6,4,2,3] => [1,1,2,1,1,2]
[1,5,8,2,6,4,7,3] => [3,2,2,1]
[6,1,5,3,7,8,4,2] => [1,2,3,1,1]
[1,5,7,4,6,8,3,2] => [3,3,1,1]
[1,4,7,5,6,8,3,2] => [3,3,1,1]
[1,6,7,4,5,8,3,2] => [3,3,1,1]
[5,6,7,4,8,1,3,2] => [3,2,2,1]
[6,4,7,5,8,1,3,2] => [1,2,2,2,1]
[7,5,2,1,8,4,6,3] => [1,1,1,2,2,1]
[8,5,2,7,6,4,1,3] => [1,1,2,1,1,2]
[8,1,2,6,4,5,7,3] => [1,3,3,1]
[4,8,1,7,2,5,6,3] => [2,2,3,1]
[2,6,7,1,5,4,8,3] => [3,2,2,1]
[7,2,1,5,6,4,8,3] => [1,1,3,2,1]
[2,8,1,6,4,5,7,3] => [2,2,3,1]
[8,2,7,6,5,3,1,4] => [1,2,1,1,1,2]
[8,3,7,6,5,1,2,4] => [1,2,1,1,3]
[1,8,2,6,4,5,7,3] => [2,2,3,1]
[7,1,2,5,6,4,8,3] => [1,4,2,1]
[1,6,7,2,5,4,8,3] => [3,2,2,1]
[3,2,7,6,5,8,1,4] => [1,2,1,2,2]
[1,3,7,6,5,2,8,4] => [3,1,1,2,1]
[8,3,7,6,5,2,1,4] => [1,2,1,1,1,2]
[1,7,3,4,5,8,2,6] => [2,4,2]
[7,1,8,4,5,6,3,2] => [1,2,3,1,1]
[1,2,7,4,5,8,3,6] => [3,3,2]
[6,7,3,2,5,8,1,4] => [2,1,3,2]
[6,1,8,4,5,3,7,2] => [1,2,2,2,1]
[4,6,2,5,1,8,7,3] => [2,2,2,1,1]
[5,1,4,6,2,8,7,3] => [1,3,2,1,1]
[7,5,2,4,6,8,1,3] => [1,1,4,2]
[7,3,5,2,1,6,8,4] => [1,2,1,3,1]
[8,5,1,2,6,3,7,4] => [1,1,3,2,1]
[2,5,6,3,8,1,7,4] => [3,2,2,1]
[1,5,6,3,8,7,4,2] => [3,2,1,1,1]
[6,7,1,3,8,2,5,4] => [2,3,2,1]
[7,6,5,2,1,4,8,3] => [1,1,1,1,3,1]
[1,5,8,7,4,6,3,2] => [3,1,2,1,1]
[5,7,2,1,3,6,8,4] => [2,1,4,1]
[2,8,7,5,3,6,1,4] => [2,1,1,2,2]
[2,7,6,3,8,1,5,4] => [2,1,2,2,1]
[3,4,2,6,1,7,8,5] => [2,2,3,1]
[3,7,2,6,8,1,5,4] => [2,3,2,1]
[7,4,8,6,5,1,3,2] => [1,2,1,1,2,1]
[1,6,5,3,7,4,8,2] => [2,1,2,2,1]
[2,7,6,8,5,1,4,3] => [2,2,1,2,1]
[1,6,4,5,7,3,8,2] => [2,3,2,1]
[1,5,4,7,8,6,2,3] => [2,3,1,2]
[7,3,1,6,8,2,5,4] => [1,1,3,2,1]
[7,1,6,8,5,2,4,3] => [1,3,1,2,1]
[3,5,8,7,6,4,1,2] => [3,1,1,1,2]
[7,1,5,8,6,2,4,3] => [1,3,1,2,1]
[1,5,7,8,6,2,4,3] => [4,1,2,1]
[2,7,5,8,6,1,4,3] => [2,2,1,2,1]
[4,3,6,2,1,7,8,5] => [1,2,1,3,1]
[1,6,4,7,3,5,8,2] => [2,2,3,1]
[4,6,2,3,1,7,8,5] => [2,2,3,1]
[3,6,2,1,4,7,8,5] => [2,1,4,1]
[6,8,2,7,5,4,3,1] => [2,2,1,1,1,1]
[5,8,1,7,6,4,3,2] => [2,2,1,1,1,1]
[8,6,3,2,1,5,4,7] => [1,1,1,1,2,2]
[8,5,3,2,4,1,7,6] => [1,1,1,2,2,1]
[7,5,2,4,3,6,8,1] => [1,1,2,3,1]
[8,5,1,4,6,3,2,7] => [1,1,3,1,2]
[8,5,1,6,3,4,2,7] => [1,1,2,2,2]
[8,4,3,6,1,5,2,7] => [1,1,2,2,2]
[8,4,3,5,2,1,7,6] => [1,1,2,1,2,1]
[6,4,3,2,8,7,1,5] => [1,1,1,2,1,2]
[8,5,1,4,3,7,2,6] => [1,1,2,2,2]
[8,5,4,2,1,3,7,6] => [1,1,1,1,3,1]
[4,7,3,6,1,8,5,2] => [2,2,2,1,1]
[7,6,2,4,1,5,8,3] => [1,1,2,3,1]
[8,1,6,3,7,4,2,5] => [1,2,2,1,2]
[5,3,8,2,6,7,1,4] => [1,2,3,2]
[8,2,5,1,7,6,3,4] => [1,2,2,1,2]
[8,2,4,6,3,7,1,5] => [1,3,2,2]
[7,2,6,4,3,5,8,1] => [1,2,1,3,1]
[7,3,6,2,4,5,8,1] => [1,2,4,1]
[8,3,7,2,1,4,6,5] => [1,2,1,3,1]
[7,6,4,1,3,2,8,5] => [1,1,1,2,2,1]
[7,3,8,2,1,5,6,4] => [1,2,1,3,1]
[6,2,5,7,4,3,8,1] => [1,3,1,2,1]
[6,2,5,4,8,7,1,3] => [1,2,2,1,2]
[7,2,4,8,5,1,6,3] => [1,3,1,2,1]
[4,2,7,6,8,5,1,3] => [1,2,2,1,2]
[7,1,6,2,8,5,4,3] => [1,2,2,1,1,1]
[7,1,6,3,8,5,2,4] => [1,2,2,1,2]
[7,2,6,8,1,3,5,4] => [1,3,3,1]
[7,2,8,5,1,3,6,4] => [1,2,1,3,1]
[7,1,8,5,3,2,6,4] => [1,2,1,1,2,1]
[7,1,8,2,5,6,4,3] => [1,2,3,1,1]
[6,1,5,8,7,2,4,3] => [1,3,1,2,1]
[6,1,5,7,4,8,3,2] => [1,3,2,1,1]
[6,1,5,7,8,3,4,2] => [1,4,2,1]
[4,6,7,3,1,8,5,2] => [3,1,2,1,1]
[4,2,6,3,1,8,7,5] => [1,2,1,2,1,1]
[6,1,4,2,5,8,7,3] => [1,2,3,1,1]
[1,5,3,8,4,6,2,7] => [2,2,2,2]
[7,2,3,5,8,4,1,6] => [1,4,1,2]
[7,6,4,2,8,5,1,3] => [1,1,1,2,1,2]
[1,7,6,4,8,5,3,2] => [2,1,2,1,1,1]
[8,7,4,2,1,5,6,3] => [1,1,1,1,3,1]
[8,2,3,5,1,4,6,7] => [1,3,4]
[8,7,4,1,3,2,6,5] => [1,1,1,2,2,1]
[7,1,4,8,3,6,2,5] => [1,3,2,2]
[4,1,8,5,7,6,2,3] => [1,2,2,1,2]
[3,7,5,8,4,2,1,6] => [2,2,1,1,2]
[6,1,5,8,3,4,2,7] => [1,3,2,2]
[6,7,5,1,3,2,4,8] => [2,1,2,3]
[5,2,6,1,7,3,4,8] => [1,2,2,3]
[4,2,6,8,3,7,1,5] => [1,3,2,2]
[6,8,5,1,4,2,3,7] => [2,1,2,3]
[7,8,4,5,1,3,6,2] => [2,2,3,1]
[1,7,8,5,3,4,6,2] => [3,1,3,1]
[1,5,8,3,6,4,7,2] => [3,2,2,1]
[6,3,8,1,4,2,7,5] => [1,2,2,2,1]
[4,8,1,5,6,3,7,2] => [2,3,2,1]
[1,8,2,6,5,3,7,4] => [2,2,1,2,1]
[3,8,1,7,2,6,5,4] => [2,2,2,1,1]
[7,3,8,1,2,6,5,4] => [1,2,3,1,1]
[8,1,4,2,3,5,7,6] => [1,2,4,1]
[8,1,2,4,6,5,7,3] => [1,4,2,1]
[6,2,8,3,5,4,7,1] => [1,2,2,2,1]
[5,1,8,3,7,4,6,2] => [1,2,2,2,1]
[8,3,7,1,5,4,6,2] => [1,2,2,2,1]
[8,4,7,1,5,3,6,2] => [1,2,2,2,1]
[8,2,7,3,5,1,6,4] => [1,2,2,2,1]
[7,2,5,3,4,6,1,8] => [1,2,3,2]
[7,4,3,1,6,2,5,8] => [1,1,1,2,3]
[7,6,4,2,5,3,1,8] => [1,1,1,2,1,2]
[5,8,4,3,6,2,7,1] => [2,1,2,2,1]
[3,8,4,6,2,5,7,1] => [2,2,3,1]
[1,7,2,6,3,4,8,5] => [2,2,3,1]
[7,5,1,6,3,2,4,8] => [1,1,2,1,3]
[7,1,2,6,3,4,5,8] => [1,3,4]
[7,2,5,1,6,3,4,8] => [1,2,2,3]
[7,3,1,4,6,2,5,8] => [1,1,3,3]
[7,1,6,5,4,2,3,8] => [1,2,1,1,3]
[5,8,4,3,1,7,2,6] => [2,1,1,2,2]
[2,1,7,6,3,5,8,4] => [1,2,1,3,1]
[3,6,8,5,2,4,7,1] => [3,1,3,1]
[5,7,8,4,3,2,6,1] => [3,1,1,2,1]
[1,4,8,6,5,7,3,2] => [3,1,2,1,1]
[1,3,8,4,7,2,6,5] => [3,2,2,1]
[2,5,8,3,4,7,1,6] => [3,3,2]
[5,4,2,8,3,7,1,6] => [1,1,2,2,2]
[5,3,1,7,6,8,4,2] => [1,1,2,2,1,1]
[4,2,7,1,5,8,6,3] => [1,2,3,1,1]
[6,1,7,4,3,8,5,2] => [1,2,1,2,1,1]
[1,3,7,4,8,5,6,2] => [3,2,2,1]
[3,2,1,4,5,8,6,7] => [1,1,4,2]
[6,7,1,3,2,8,5,4] => [2,2,2,1,1]
[1,5,3,2,6,8,4,7] => [2,1,3,2]
[5,4,3,1,7,2,8,6] => [1,1,1,2,2,1]
[5,1,4,2,3,6,8,7] => [1,2,4,1]
[3,7,6,5,8,2,4,1] => [2,1,2,2,1]
[5,7,4,2,8,6,1,3] => [2,1,2,1,2]
[5,4,3,7,8,2,6,1] => [1,1,3,2,1]
[2,3,7,8,6,1,4,5] => [4,1,3]
[3,8,5,7,6,2,4,1] => [2,2,1,2,1]
[1,3,6,8,7,2,5,4] => [4,1,2,1]
[5,4,1,6,8,7,3,2] => [1,1,3,1,1,1]
[5,7,8,6,2,4,3,1] => [3,1,2,1,1]
[1,8,7,2,4,3,5,6] => [2,1,2,3]
[6,2,5,1,4,7,3,8] => [1,2,3,2]
[5,8,7,1,4,2,3,6] => [2,1,2,3]
[7,5,2,4,1,8,6,3] => [1,1,2,2,1,1]
[2,6,3,7,1,4,5,8] => [2,2,4]
[8,2,3,5,4,1,6,7] => [1,3,1,3]
[6,5,1,2,4,7,8,3] => [1,1,5,1]
[6,1,3,7,8,2,4,5] => [1,4,3]
[1,6,3,8,2,4,5,7] => [2,2,4]
[7,6,4,3,5,1,8,2] => [1,1,1,2,2,1]
[7,6,8,4,3,1,5,2] => [1,2,1,1,2,1]
[3,8,6,1,4,2,5,7] => [2,1,2,3]
[7,6,5,3,8,1,4,2] => [1,1,1,2,2,1]
[1,7,6,5,3,2,4,8] => [2,1,1,1,3]
[2,7,6,5,4,1,3,8] => [2,1,1,1,3]
[2,8,6,4,5,1,3,7] => [2,1,2,3]
[7,6,8,5,3,1,4,2] => [1,2,1,1,2,1]
[8,4,2,1,6,7,3,5] => [1,1,1,3,2]
[8,1,3,5,4,6,7,2] => [1,3,3,1]
[3,8,2,5,4,6,1,7] => [2,2,2,2]
[5,2,3,6,4,1,7,8] => [1,3,1,3]
[8,1,2,6,7,3,4,5] => [1,4,3]
[6,2,3,5,8,4,1,7] => [1,4,1,2]
[3,7,6,8,4,1,5,2] => [2,2,1,2,1]
[4,7,6,1,5,8,3,2] => [2,1,3,1,1]
[1,5,6,8,2,4,3,7] => [4,2,2]
[7,1,6,5,3,8,2,4] => [1,2,1,2,2]
[1,7,6,4,2,5,8,3] => [2,1,1,3,1]
[7,6,4,1,5,3,8,2] => [1,1,1,2,2,1]
[6,8,7,1,5,4,3,2] => [2,1,2,1,1,1]
[7,8,4,6,5,1,3,2] => [2,2,1,2,1]
[8,7,4,6,5,1,3,2] => [1,1,2,1,2,1]
[2,5,3,6,4,8,7,1] => [2,2,2,1,1]
[2,5,3,7,4,8,6,1] => [2,2,2,1,1]
[4,6,3,5,7,2,1,8] => [2,3,1,2]
[4,3,7,2,1,8,5,6] => [1,2,1,2,2]
[1,7,4,3,2,8,5,6] => [2,1,1,2,2]
[7,4,6,3,5,8,1,2] => [1,2,3,2]
[7,2,6,1,5,8,3,4] => [1,2,3,2]
[7,2,6,1,8,5,4,3] => [1,2,2,1,1,1]
[4,7,3,8,6,2,5,1] => [2,2,1,2,1]
[4,7,3,6,8,2,1,5] => [2,3,1,2]
[5,4,7,3,8,2,1,6] => [1,2,2,1,2]
[8,3,7,2,4,6,5,1] => [1,2,3,1,1]
[7,3,6,4,2,5,1,8] => [1,2,1,2,2]
[8,7,2,4,6,3,5,1] => [1,1,3,2,1]
[1,3,6,8,5,7,4,2] => [4,2,1,1]
[6,3,5,8,2,4,1,7] => [1,3,2,2]
[1,6,4,8,3,7,2,5] => [2,2,2,2]
[7,3,6,2,8,5,4,1] => [1,2,2,1,1,1]
[7,4,6,8,3,5,2,1] => [1,3,2,1,1]
[4,3,5,7,2,6,1,8] => [1,3,2,2]
[5,4,6,8,3,7,2,1] => [1,3,2,1,1]
[1,7,2,8,5,4,3,6] => [2,2,1,1,2]
[5,4,8,3,6,2,1,7] => [1,2,2,1,2]
[1,3,8,5,7,4,6,2] => [3,2,2,1]
[6,8,2,5,7,1,4,3] => [2,3,2,1]
[5,7,2,4,6,1,3,8] => [2,3,3]
[3,7,5,2,6,4,1,8] => [2,1,2,1,2]
[3,8,6,2,7,5,1,4] => [2,1,2,1,2]
[5,8,4,2,7,3,6,1] => [2,1,2,2,1]
[1,8,6,3,5,2,4,7] => [2,1,2,3]
[8,4,2,7,3,1,6,5] => [1,1,2,1,2,1]
[7,4,2,6,3,1,5,8] => [1,1,2,1,3]
[8,2,7,3,4,5,1,6] => [1,2,3,2]
[8,1,5,2,4,6,3,7] => [1,2,3,2]
[6,1,5,7,2,3,8,4] => [1,3,3,1]
[8,6,1,3,4,5,7,2] => [1,1,5,1]
[8,5,7,2,4,6,1,3] => [1,2,3,2]
[6,1,3,7,2,5,8,4] => [1,3,3,1]
[8,2,5,1,4,7,3,6] => [1,2,3,2]
[8,1,3,6,4,2,5,7] => [1,3,1,3]
[8,3,6,7,4,1,2,5] => [1,3,1,3]
[8,5,1,2,4,6,7,3] => [1,1,5,1]
[2,6,8,7,3,4,5,1] => [3,1,3,1]
[1,7,8,3,6,4,2,5] => [3,2,1,2]
[1,7,8,3,2,4,6,5] => [3,1,3,1]
[1,7,8,5,6,4,2,3] => [3,2,1,2]
[8,3,1,2,4,6,7,5] => [1,1,5,1]
[3,1,7,5,8,2,4,6] => [1,2,2,3]
[8,1,3,2,4,6,5,7] => [1,2,3,2]
[3,2,6,5,8,1,4,7] => [1,2,2,3]
[8,2,3,7,4,1,5,6] => [1,3,1,3]
[8,1,5,6,4,2,3,7] => [1,3,1,3]
[3,5,8,1,6,4,2,7] => [3,2,1,2]
[3,5,8,2,7,4,1,6] => [3,2,1,2]
[8,3,2,7,4,1,6,5] => [1,1,2,1,2,1]
[6,5,1,7,3,2,8,4] => [1,1,2,1,2,1]
[8,3,1,6,4,2,7,5] => [1,1,2,1,2,1]
[8,2,7,5,4,3,1,6] => [1,2,1,1,1,2]
[8,1,6,5,4,3,2,7] => [1,2,1,1,1,2]
[2,6,8,1,5,4,3,7] => [3,2,1,2]
[5,2,1,7,6,3,8,4] => [1,1,2,1,2,1]
[3,5,8,2,1,4,7,6] => [3,1,3,1]
[4,2,8,5,3,7,6,1] => [1,2,1,2,1,1]
[4,2,7,5,3,8,6,1] => [1,2,1,2,1,1]
[6,4,5,1,8,3,2,7] => [1,2,2,1,2]
[5,4,7,8,3,1,2,6] => [1,3,1,3]
[4,5,8,1,3,7,2,6] => [3,3,2]
[1,5,3,6,8,7,2,4] => [2,3,1,2]
[7,6,2,8,1,4,3,5] => [1,1,2,2,2]
[4,7,2,6,8,3,5,1] => [2,3,2,1]
[6,3,2,8,7,4,5,1] => [1,1,2,1,2,1]
[7,4,3,8,5,6,2,1] => [1,1,2,2,1,1]
[3,1,5,8,7,6,2,4] => [1,3,1,1,2]
[8,2,1,6,5,7,3,4] => [1,1,2,2,2]
[3,1,8,6,5,7,2,4] => [1,2,1,2,2]
[1,2,7,6,4,5,8,3] => [3,1,3,1]
[7,2,6,5,1,8,3,4] => [1,2,1,2,2]
[4,2,8,5,6,3,1,7] => [1,2,2,1,2]
[6,4,2,1,8,7,3,5] => [1,1,1,2,1,2]
[4,7,3,2,5,1,6,8] => [2,1,2,3]
[6,2,5,1,7,8,4,3] => [1,2,3,1,1]
[4,2,5,3,8,7,1,6] => [1,2,2,1,2]
[6,2,5,8,7,4,1,3] => [1,3,1,1,2]
[7,2,5,3,8,1,4,6] => [1,2,2,3]
[7,2,5,3,8,4,6,1] => [1,2,2,2,1]
[3,7,5,2,6,1,4,8] => [2,1,2,3]
[3,8,5,6,7,4,2,1] => [2,3,1,1,1]
[3,8,5,2,6,1,4,7] => [2,1,2,3]
[3,6,8,1,7,4,5,2] => [3,2,2,1]
[6,3,4,1,8,7,2,5] => [1,2,2,1,2]
[4,7,3,2,5,8,1,6] => [2,1,3,2]
[8,7,3,2,5,4,6,1] => [1,1,1,2,2,1]
[5,1,7,6,2,4,8,3] => [1,2,1,3,1]
[5,4,7,3,1,6,8,2] => [1,2,1,3,1]
[7,5,4,8,3,1,6,2] => [1,1,2,1,2,1]
[3,4,8,1,6,5,2,7] => [3,2,1,2]
[7,5,6,1,8,3,2,4] => [1,2,2,1,2]
[4,5,6,2,7,3,1,8] => [3,2,1,2]
[5,3,4,7,1,6,2,8] => [1,3,2,2]
[5,3,7,2,1,6,8,4] => [1,2,1,3,1]
[3,5,1,4,6,8,2,7] => [2,4,2]
[4,3,7,1,6,5,2,8] => [1,2,2,1,2]
[8,5,7,4,2,1,3,6] => [1,2,1,1,3]
[7,6,3,2,5,4,8,1] => [1,1,1,2,2,1]
[8,6,3,2,5,4,1,7] => [1,1,1,2,1,2]
[8,5,3,6,7,4,1,2] => [1,1,3,1,2]
[6,5,8,4,2,7,1,3] => [1,2,1,2,2]
[2,3,7,4,1,8,6,5] => [3,1,2,1,1]
[2,4,5,1,8,6,3,7] => [3,2,1,2]
[2,4,1,6,7,5,3,8] => [2,3,1,2]
[6,3,7,1,5,2,4,8] => [1,2,2,3]
[4,1,3,7,8,2,6,5] => [1,4,2,1]
[7,1,4,8,6,5,2,3] => [1,3,1,1,2]
[8,3,4,2,1,7,5,6] => [1,2,1,2,2]
[1,4,5,3,8,6,7,2] => [3,2,2,1]
[4,6,2,7,5,8,1,3] => [2,2,2,2]
[7,3,2,5,1,8,4,6] => [1,1,2,2,2]
[7,8,1,4,2,3,5,6] => [2,2,4]
[6,5,2,4,8,7,1,3] => [1,1,3,1,2]
[8,5,2,4,1,3,7,6] => [1,1,2,3,1]
[5,1,2,4,3,6,8,7] => [1,3,3,1]
[5,2,1,4,3,7,6,8] => [1,1,2,2,2]
[8,6,2,7,5,3,1,4] => [1,1,2,1,1,2]
[6,2,1,5,8,3,4,7] => [1,1,3,3]
[2,3,8,7,1,5,4,6] => [3,1,2,2]
[4,3,8,1,5,2,6,7] => [1,2,2,3]
[4,1,3,6,7,2,8,5] => [1,4,2,1]
[7,1,4,5,8,2,6,3] => [1,4,2,1]
[6,1,3,2,4,5,8,7] => [1,2,4,1]
[7,8,1,6,5,2,4,3] => [2,2,1,2,1]
[7,4,8,5,1,3,2,6] => [1,2,1,2,2]
[7,4,8,6,5,1,2,3] => [1,2,1,1,3]
[2,8,1,7,6,3,5,4] => [2,2,1,2,1]
[3,4,8,6,5,1,2,7] => [3,1,1,3]
[3,7,8,6,5,1,2,4] => [3,1,1,3]
[5,7,8,2,6,3,1,4] => [3,2,1,2]
[4,7,8,2,5,3,1,6] => [3,2,1,2]
[8,4,5,7,2,6,3,1] => [1,3,2,1,1]
[4,5,8,6,1,3,2,7] => [3,1,2,2]
[3,6,8,7,1,5,2,4] => [3,1,2,2]
[4,7,8,2,6,3,1,5] => [3,2,1,2]
[5,6,8,2,7,3,1,4] => [3,2,1,2]
[4,5,8,2,7,3,1,6] => [3,2,1,2]
[4,8,3,1,7,5,2,6] => [2,1,2,1,2]
[2,8,4,3,7,5,1,6] => [2,1,2,1,2]
[7,5,4,8,3,2,1,6] => [1,1,2,1,1,2]
[6,5,8,2,7,3,1,4] => [1,2,2,1,2]
[6,4,8,2,7,3,1,5] => [1,2,2,1,2]
[6,8,3,1,7,4,2,5] => [2,1,2,1,2]
[7,8,3,1,6,4,2,5] => [2,1,2,1,2]
[2,8,6,3,4,5,1,7] => [2,1,3,2]
[7,8,1,3,6,4,2,5] => [2,3,1,2]
[6,8,1,3,7,4,2,5] => [2,3,1,2]
[5,3,8,6,1,4,2,7] => [1,2,1,2,2]
[5,8,1,3,7,4,2,6] => [2,3,1,2]
[5,3,8,2,7,4,1,6] => [1,2,2,1,2]
[4,3,8,2,7,5,1,6] => [1,2,2,1,2]
[4,5,7,8,3,2,1,6] => [4,1,1,2]
[5,7,3,4,2,6,8,1] => [2,2,3,1]
[5,7,4,2,3,6,8,1] => [2,1,4,1]
[5,4,7,3,2,8,1,6] => [1,2,1,2,2]
[6,8,3,2,4,5,1,7] => [2,1,3,2]
[5,8,3,4,6,1,2,7] => [2,3,3]
[6,4,3,8,5,1,2,7] => [1,1,2,1,3]
[6,4,8,2,3,5,1,7] => [1,2,3,2]
[5,4,6,8,2,3,1,7] => [1,3,2,2]
[5,6,8,4,1,2,3,7] => [3,1,4]
[6,4,8,5,1,2,3,7] => [1,2,1,4]
[7,4,8,3,1,2,5,6] => [1,2,1,4]
[5,7,8,2,3,1,4,6] => [3,2,3]
[5,4,7,8,2,1,3,6] => [1,3,1,3]
[5,8,6,3,1,2,4,7] => [2,1,1,4]
[6,8,5,2,1,3,4,7] => [2,1,1,4]
[5,6,1,3,2,4,8,7] => [2,2,3,1]
[3,5,1,2,7,6,4,8] => [2,3,1,2]
[4,1,3,7,2,6,5,8] => [1,3,2,2]
[4,3,6,1,2,5,8,7] => [1,2,4,1]
[8,1,5,4,6,2,7,3] => [1,2,2,2,1]
[4,3,8,1,2,5,7,6] => [1,2,4,1]
[7,4,3,2,5,8,6,1] => [1,1,1,3,1,1]
[4,6,3,2,8,5,7,1] => [2,1,2,2,1]
[1,4,3,2,6,8,5,7] => [2,1,3,2]
[5,3,7,2,1,8,6,4] => [1,2,1,2,1,1]
[7,4,3,2,5,1,8,6] => [1,1,1,2,2,1]
[5,4,3,7,2,6,8,1] => [1,1,2,3,1]
[5,4,8,3,7,2,1,6] => [1,2,2,1,2]
[3,6,8,5,2,1,7,4] => [3,1,1,2,1]
[6,1,5,4,7,2,8,3] => [1,2,2,2,1]
[1,3,6,5,8,2,7,4] => [3,2,2,1]
[1,4,3,6,2,8,5,7] => [2,2,2,2]
[4,3,6,8,2,7,5,1] => [1,3,2,1,1]
[7,6,4,1,2,8,5,3] => [1,1,1,3,1,1]
[1,6,5,3,2,8,4,7] => [2,1,1,2,2]
[1,5,3,2,7,8,6,4] => [2,1,3,1,1]
[5,4,8,3,2,7,1,6] => [1,2,1,2,2]
[5,4,3,7,2,1,6,8] => [1,1,2,1,3]
[1,6,5,4,7,2,8,3] => [2,1,2,2,1]
[3,6,5,7,2,1,8,4] => [2,2,1,2,1]
[5,4,3,7,8,2,1,6] => [1,1,3,1,2]
[1,4,8,6,3,2,7,5] => [3,1,1,2,1]
[2,8,3,6,5,4,1,7] => [2,2,1,1,2]
[4,1,8,6,2,5,7,3] => [1,2,1,3,1]
[1,5,3,6,7,4,8,2] => [2,3,2,1]
[6,7,2,5,3,8,4,1] => [2,2,2,1,1]
[4,7,6,2,5,1,8,3] => [2,1,2,2,1]
[4,6,3,1,5,7,8,2] => [2,1,4,1]
[1,5,7,4,6,2,8,3] => [3,2,2,1]
[6,3,4,8,1,2,7,5] => [1,3,3,1]
[1,3,5,2,8,6,4,7] => [3,2,1,2]
[6,2,8,1,7,4,5,3] => [1,2,2,2,1]
[1,7,6,3,8,4,2,5] => [2,1,2,1,2]
[5,2,4,6,8,3,1,7] => [1,4,1,2]
[6,1,2,3,5,4,8,7] => [1,4,2,1]
[2,5,4,3,7,8,1,6] => [2,1,3,2]
[5,4,1,6,8,3,7,2] => [1,1,3,2,1]
[7,1,6,8,3,5,4,2] => [1,3,2,1,1]
[2,6,3,1,5,8,7,4] => [2,1,3,1,1]
[7,2,1,4,8,6,3,5] => [1,1,3,1,2]
[1,6,2,3,5,4,8,7] => [2,3,2,1]
[7,2,6,5,3,4,8,1] => [1,2,1,3,1]
[7,1,3,2,6,5,8,4] => [1,2,2,2,1]
[7,3,1,2,5,6,8,4] => [1,1,5,1]
[2,7,1,3,4,6,8,5] => [2,5,1]
[6,8,5,7,3,4,2,1] => [2,2,2,1,1]
[5,1,6,8,4,7,3,2] => [1,3,2,1,1]
[2,4,1,8,7,6,3,5] => [2,2,1,1,2]
[1,3,5,8,4,7,2,6] => [4,2,2]
[2,3,8,7,5,1,6,4] => [3,1,1,2,1]
[5,8,7,2,4,1,3,6] => [2,1,2,3]
[4,1,3,5,6,2,8,7] => [1,4,2,1]
[8,2,4,6,1,3,7,5] => [1,3,3,1]
[6,4,8,7,3,5,2,1] => [1,2,1,2,1,1]
[8,2,3,5,6,1,4,7] => [1,4,3]
[8,2,3,4,6,1,7,5] => [1,4,2,1]
[1,7,4,3,5,2,8,6] => [2,1,2,2,1]
[3,8,2,7,6,4,1,5] => [2,2,1,1,2]
[4,3,8,6,2,7,1,5] => [1,2,1,2,2]
[3,1,6,8,2,7,5,4] => [1,3,2,1,1]
[5,8,7,2,4,6,1,3] => [2,1,3,2]
[1,5,2,8,7,6,4,3] => [2,2,1,1,1,1]
[2,7,1,4,6,5,3,8] => [2,3,1,2]
[4,7,1,2,6,5,8,3] => [2,3,2,1]
[6,5,8,3,7,4,2,1] => [1,2,2,1,1,1]
[8,3,4,5,1,6,7,2] => [1,3,3,1]
[7,8,1,5,6,3,2,4] => [2,3,1,2]
[1,7,8,3,2,5,4,6] => [3,1,2,2]
[7,8,1,3,2,5,6,4] => [2,2,3,1]
[7,8,1,3,5,4,6,2] => [2,3,2,1]
[7,8,1,3,5,2,4,6] => [2,3,3]
[1,3,7,8,5,2,4,6] => [4,1,3]
[1,7,8,3,5,2,6,4] => [3,2,2,1]
[1,7,8,3,2,5,6,4] => [3,1,3,1]
[3,7,8,5,4,6,1,2] => [3,1,2,2]
[3,5,7,6,4,8,1,2] => [3,1,2,2]
[1,3,7,8,5,4,6,2] => [4,1,2,1]
[1,3,7,8,5,4,2,6] => [4,1,1,2]
[1,3,7,8,2,5,4,6] => [4,2,2]
[1,3,2,7,8,5,4,6] => [2,3,1,2]
[1,5,7,6,8,3,2,4] => [3,2,1,2]
[3,5,4,7,8,6,1,2] => [2,3,1,2]
[3,5,7,6,8,4,1,2] => [3,2,1,2]
[1,5,7,6,8,3,4,2] => [3,2,2,1]
[3,5,7,4,6,8,1,2] => [3,3,2]
[6,1,4,3,2,5,8,7] => [1,2,1,3,1]
[7,4,2,1,3,6,5,8] => [1,1,1,3,2]
[6,5,8,4,3,7,1,2] => [1,2,1,2,2]
[5,3,6,7,8,4,1,2] => [1,4,1,2]
[3,7,8,4,6,5,1,2] => [3,2,1,2]
[5,2,7,6,3,8,1,4] => [1,2,1,2,2]
[6,2,5,7,1,8,4,3] => [1,3,2,1,1]
[1,8,3,2,4,6,5,7] => [2,1,3,2]
[5,8,6,2,3,7,1,4] => [2,1,3,2]
[1,4,8,3,6,7,2,5] => [3,3,2]
[6,7,3,1,5,2,4,8] => [2,1,2,3]
[5,2,4,1,8,3,6,7] => [1,2,2,3]
[3,5,6,7,2,1,8,4] => [4,1,2,1]
[6,2,8,5,3,1,4,7] => [1,2,1,1,3]
[2,1,7,4,3,8,5,6] => [1,2,1,2,2]
[1,4,2,8,3,6,7,5] => [2,2,3,1]
[6,5,1,3,4,7,8,2] => [1,1,5,1]
[7,2,3,8,5,4,1,6] => [1,3,1,1,2]
[3,4,1,7,8,2,6,5] => [2,3,2,1]
[7,8,3,1,4,5,6,2] => [2,1,4,1]
[5,8,1,4,3,7,6,2] => [2,2,2,1,1]
[3,7,1,5,6,4,8,2] => [2,3,2,1]
[6,1,8,7,3,2,5,4] => [1,2,1,1,2,1]
[4,1,5,2,7,8,6,3] => [1,2,3,1,1]
[7,8,1,5,6,2,4,3] => [2,3,2,1]
[4,1,5,7,6,3,8,2] => [1,3,1,2,1]
[1,5,7,4,6,8,2,3] => [3,3,2]
[1,4,8,2,3,6,5,7] => [3,3,2]
[1,4,7,3,2,6,5,8] => [3,1,2,2]
[1,4,6,7,3,5,2,8] => [4,2,2]
[1,5,3,4,8,2,7,6] => [2,3,2,1]
[1,4,8,2,6,7,5,3] => [3,3,1,1]
[1,4,7,8,2,3,6,5] => [4,3,1]
[2,8,3,5,7,1,4,6] => [2,3,3]
[1,7,3,2,4,5,6,8] => [2,1,5]
[7,4,6,2,3,1,5,8] => [1,2,2,3]
[6,1,4,7,8,3,2,5] => [1,4,1,2]
[1,7,3,2,4,5,8,6] => [2,1,4,1]
[1,4,8,7,3,2,6,5] => [3,1,1,2,1]
[1,6,4,3,2,5,7,8] => [2,1,1,4]
[4,2,6,5,3,1,7,8] => [1,2,1,1,3]
[6,5,2,3,4,1,8,7] => [1,1,3,2,1]
[5,2,1,6,8,7,4,3] => [1,1,3,1,1,1]
[1,3,5,8,6,2,7,4] => [4,1,2,1]
[2,3,8,4,1,7,6,5] => [3,1,2,1,1]
[2,5,1,7,8,4,3,6] => [2,3,1,2]
[3,7,8,5,4,2,6,1] => [3,1,1,2,1]
[4,7,5,2,3,1,6,8] => [2,1,2,3]
[8,3,2,7,5,6,1,4] => [1,1,2,2,2]
[3,6,7,4,1,5,2,8] => [3,1,2,2]
[3,5,7,1,6,2,8,4] => [3,2,2,1]
[1,3,8,5,7,4,2,6] => [3,2,1,2]
[1,2,3,7,5,4,6,8] => [4,1,3]
[1,4,2,8,6,3,5,7] => [2,2,1,3]
[1,7,6,5,3,4,2,8] => [2,1,1,2,2]
[2,3,8,6,5,4,1,7] => [3,1,1,1,2]
[2,8,6,3,5,7,4,1] => [2,1,3,1,1]
[2,6,7,4,3,1,8,5] => [3,1,1,2,1]
[2,8,6,7,4,1,5,3] => [2,2,1,2,1]
[6,1,8,2,5,3,4,7] => [1,2,2,3]
[2,6,1,5,7,3,4,8] => [2,3,3]
[3,6,1,5,2,7,4,8] => [2,2,2,2]
[3,8,6,4,2,7,1,5] => [2,1,1,2,2]
[3,8,6,2,1,7,5,4] => [2,1,1,2,1,1]
[1,8,2,5,7,4,6,3] => [2,3,2,1]
[5,2,4,8,3,1,7,6] => [1,3,1,2,1]
[2,5,8,4,3,1,6,7] => [3,1,1,3]
[4,1,8,7,2,5,6,3] => [1,2,1,3,1]
[1,5,4,2,3,6,8,7] => [2,1,4,1]
[6,1,5,2,3,4,8,7] => [1,2,4,1]
[4,6,2,8,1,5,7,3] => [2,2,3,1]
[3,4,1,8,2,5,7,6] => [2,2,3,1]
[4,2,1,8,5,3,7,6] => [1,1,2,1,2,1]
[2,5,8,7,6,4,1,3] => [3,1,1,1,2]
[3,1,8,2,4,6,7,5] => [1,2,4,1]
[6,5,2,1,7,3,4,8] => [1,1,1,2,3]
[5,2,6,8,7,3,1,4] => [1,3,1,1,2]
[2,7,8,6,3,4,1,5] => [3,1,2,2]
[3,1,2,8,6,7,5,4] => [1,3,2,1,1]
[3,1,2,4,8,6,7,5] => [1,4,2,1]
[3,1,2,5,8,7,4,6] => [1,4,1,2]
[6,5,2,1,8,4,7,3] => [1,1,1,2,2,1]
[5,6,2,4,3,8,1,7] => [2,2,2,2]
[3,7,5,2,8,1,4,6] => [2,1,2,3]
[7,4,1,3,6,2,8,5] => [1,1,3,2,1]
[5,1,4,7,3,2,8,6] => [1,3,1,2,1]
[2,3,5,4,8,6,1,7] => [3,2,1,2]
[2,3,5,7,4,8,1,6] => [4,2,2]
[3,7,6,1,2,5,8,4] => [2,1,4,1]
[4,7,1,6,8,5,3,2] => [2,3,1,1,1]
[4,1,5,8,6,2,3,7] => [1,3,1,3]
[5,4,8,6,3,7,1,2] => [1,2,1,2,2]
[5,7,3,4,8,2,6,1] => [2,3,2,1]
[6,5,2,3,7,4,1,8] => [1,1,3,1,2]
[6,5,2,3,1,8,7,4] => [1,1,2,2,1,1]
[6,5,3,7,4,1,2,8] => [1,1,2,1,3]
[6,4,7,5,3,8,1,2] => [1,2,1,2,2]
[5,7,6,4,8,3,1,2] => [2,1,2,1,2]
[5,7,4,8,3,1,6,2] => [2,2,1,2,1]
[3,1,4,7,5,2,8,6] => [1,3,1,2,1]
[3,1,4,7,2,8,6,5] => [1,3,2,1,1]
[3,1,5,4,8,6,2,7] => [1,2,2,1,2]
[3,1,7,5,4,6,2,8] => [1,2,1,2,2]
[2,5,6,3,7,4,1,8] => [3,2,1,2]
[4,3,1,7,5,6,2,8] => [1,1,2,2,2]
[4,3,1,5,8,6,2,7] => [1,1,3,1,2]
[4,3,5,1,8,7,2,6] => [1,2,2,1,2]
[2,5,3,1,6,7,4,8] => [2,1,3,2]
[2,5,3,6,1,8,4,7] => [2,2,2,2]
[2,5,6,4,1,8,3,7] => [3,1,2,2]
[4,6,2,1,5,7,3,8] => [2,1,3,2]
[4,8,1,5,7,3,2,6] => [2,3,1,2]
[6,4,2,7,8,3,1,5] => [1,1,3,1,2]
[2,5,6,7,4,1,8,3] => [4,1,2,1]
[2,5,6,8,3,1,7,4] => [4,1,2,1]
[7,1,4,5,3,6,2,8] => [1,3,2,2]
[1,7,2,4,5,3,6,8] => [2,3,3]
[1,7,4,5,3,2,6,8] => [2,2,1,3]
[1,6,4,7,3,5,2,8] => [2,2,2,2]
[3,5,6,4,8,2,1,7] => [3,2,1,2]
[1,6,4,7,5,2,3,8] => [2,2,1,3]
[1,5,2,6,7,4,3,8] => [2,3,1,2]
[8,5,6,1,4,3,7,2] => [1,2,2,2,1]
[2,5,4,7,8,3,1,6] => [2,3,1,2]
[5,6,4,8,2,1,3,7] => [2,2,1,3]
[6,4,5,8,2,3,1,7] => [1,3,2,2]
[8,6,1,3,2,5,7,4] => [1,1,2,3,1]
[7,5,8,1,4,6,3,2] => [1,2,3,1,1]
[4,2,6,7,8,1,5,3] => [1,4,2,1]
[4,7,8,2,5,1,6,3] => [3,2,2,1]
[3,7,8,2,5,1,4,6] => [3,2,3]
[3,4,6,7,8,1,5,2] => [5,2,1]
[2,5,3,7,8,1,4,6] => [2,3,3]
[5,6,3,8,1,2,4,7] => [2,2,4]
[4,7,3,8,5,1,6,2] => [2,2,1,2,1]
[4,3,2,7,5,8,1,6] => [1,1,2,2,2]
[4,8,5,3,2,6,1,7] => [2,1,1,2,2]
[2,8,4,5,3,6,1,7] => [2,2,2,2]
[8,1,5,3,2,4,7,6] => [1,2,1,3,1]
[4,7,3,8,2,1,6,5] => [2,2,1,2,1]
[7,8,4,1,3,6,5,2] => [2,1,3,1,1]
[8,6,1,3,2,7,4,5] => [1,1,2,2,2]
[7,3,8,2,4,1,6,5] => [1,2,2,2,1]
[6,2,3,7,8,1,5,4] => [1,4,2,1]
[6,3,7,8,1,5,4,2] => [1,3,2,1,1]
[2,6,3,7,8,1,5,4] => [2,3,2,1]
[7,5,8,1,6,4,2,3] => [1,2,2,1,2]
[1,4,7,3,8,5,2,6] => [3,2,1,2]
[8,1,4,3,7,5,6,2] => [1,2,2,2,1]
[1,4,8,5,3,2,6,7] => [3,1,1,3]
[8,2,7,6,4,1,5,3] => [1,2,1,1,2,1]
[2,7,4,3,8,5,1,6] => [2,1,2,1,2]
[5,2,1,7,8,4,3,6] => [1,1,3,1,2]
[2,7,1,8,6,4,5,3] => [2,2,1,2,1]
[2,4,7,6,3,8,5,1] => [3,1,2,1,1]
[7,2,6,1,8,3,5,4] => [1,2,2,2,1]
[6,3,8,7,1,5,2,4] => [1,2,1,2,2]
[6,8,2,7,3,1,5,4] => [2,2,1,2,1]
[6,8,1,4,7,5,3,2] => [2,3,1,1,1]
[7,6,1,2,8,5,3,4] => [1,1,3,1,2]
[7,3,1,8,4,6,5,2] => [1,1,2,2,1,1]
[7,2,4,8,3,6,5,1] => [1,3,2,1,1]
[8,2,6,3,4,1,7,5] => [1,2,2,2,1]
[6,1,2,8,5,3,7,4] => [1,3,1,2,1]
[4,1,8,7,3,5,6,2] => [1,2,1,3,1]
[4,1,5,8,3,6,7,2] => [1,3,3,1]
[4,7,2,6,8,3,1,5] => [2,3,1,2]
[7,5,2,8,1,6,3,4] => [1,1,2,2,2]
[4,8,5,7,1,3,2,6] => [2,2,2,2]
[3,4,7,2,1,5,8,6] => [3,1,3,1]
[4,8,2,7,1,3,6,5] => [2,2,3,1]
[5,2,1,8,7,4,6,3] => [1,1,2,1,2,1]
[8,2,1,7,4,6,3,5] => [1,1,2,2,2]
[4,2,5,8,3,6,7,1] => [1,3,3,1]
[5,1,6,8,3,2,7,4] => [1,3,1,2,1]
[4,1,5,6,8,2,7,3] => [1,4,2,1]
[4,7,8,3,1,2,5,6] => [3,1,4]
[5,7,8,2,4,1,3,6] => [3,2,3]
[4,5,2,8,7,3,1,6] => [2,2,1,1,2]
[5,8,2,3,6,4,7,1] => [2,3,2,1]
[4,5,7,6,8,2,3,1] => [3,2,2,1]
[4,8,5,3,1,6,7,2] => [2,1,1,3,1]
[6,2,3,1,7,8,5,4] => [1,2,3,1,1]
[5,2,3,8,7,4,6,1] => [1,3,1,2,1]
[5,2,3,6,8,4,7,1] => [1,4,2,1]
[8,2,1,7,3,4,6,5] => [1,1,2,3,1]
[6,2,1,7,8,4,3,5] => [1,1,3,1,2]
[5,2,1,3,8,4,7,6] => [1,1,3,2,1]
[5,2,7,8,4,1,6,3] => [1,3,1,2,1]
[6,2,7,8,3,5,4,1] => [1,3,2,1,1]
[5,2,8,6,4,1,7,3] => [1,2,1,1,2,1]
[8,1,7,3,2,4,6,5] => [1,2,1,3,1]
[5,1,2,8,4,3,7,6] => [1,3,1,2,1]
[5,7,8,3,4,1,6,2] => [3,2,2,1]
[6,7,8,3,2,5,4,1] => [3,1,2,1,1]
[5,7,2,6,4,8,1,3] => [2,2,2,2]
[6,2,3,4,7,8,5,1] => [1,5,1,1]
[7,2,1,8,4,3,5,6] => [1,1,2,1,3]
[6,2,1,3,7,5,8,4] => [1,1,3,2,1]
[6,8,7,3,4,5,1,2] => [2,1,3,2]
[6,2,3,7,8,1,4,5] => [1,4,3]
[7,4,3,2,5,8,1,6] => [1,1,1,3,2]
[7,2,4,3,5,8,1,6] => [1,2,3,2]
[1,3,7,4,2,5,6,8] => [3,1,4]
[1,3,8,6,4,2,7,5] => [3,1,1,2,1]
[1,3,5,8,4,2,7,6] => [4,1,2,1]
[1,3,8,4,5,2,7,6] => [3,2,2,1]
[1,7,6,2,3,5,4,8] => [2,1,3,2]
[1,7,6,4,2,3,5,8] => [2,1,1,4]
[1,3,2,5,8,6,4,7] => [2,3,1,2]
[6,1,4,7,2,8,5,3] => [1,3,2,1,1]
[1,7,5,8,4,2,3,6] => [2,2,1,3]
[1,6,7,2,4,8,5,3] => [3,3,1,1]
[5,7,2,4,3,6,8,1] => [2,2,3,1]
[5,7,3,4,6,2,8,1] => [2,3,2,1]
[2,8,3,6,1,7,4,5] => [2,2,2,2]
[4,3,1,8,5,2,6,7] => [1,1,2,1,3]
[1,8,4,5,6,2,7,3] => [2,3,2,1]
[7,3,8,2,1,4,5,6] => [1,2,1,4]
[8,2,5,3,1,7,4,6] => [1,2,1,2,2]
[6,3,5,8,1,7,4,2] => [1,3,2,1,1]
[3,5,4,8,6,1,7,2] => [2,2,1,2,1]
[7,5,2,3,8,4,6,1] => [1,1,3,2,1]
[2,7,5,1,4,8,3,6] => [2,1,3,2]
[5,7,6,1,2,8,3,4] => [2,1,3,2]
[7,4,6,5,1,8,2,3] => [1,2,1,2,2]
[2,8,4,1,7,3,6,5] => [2,1,2,2,1]
[7,1,3,2,6,8,4,5] => [1,2,3,2]
[4,3,5,2,8,1,6,7] => [1,2,2,3]
[1,7,3,8,2,4,6,5] => [2,2,3,1]
[2,7,4,8,5,3,1,6] => [2,2,1,1,2]
[6,1,3,8,4,2,7,5] => [1,3,1,2,1]
[5,4,1,8,6,2,7,3] => [1,1,2,1,2,1]
[5,4,6,8,1,3,2,7] => [1,3,2,2]
[3,6,1,5,8,4,7,2] => [2,3,2,1]
[6,4,8,3,5,7,2,1] => [1,2,3,1,1]
[3,5,8,2,4,1,7,6] => [3,2,2,1]
[7,2,8,4,1,3,6,5] => [1,2,1,3,1]
[5,8,1,2,4,3,6,7] => [2,3,3]
[3,6,5,4,7,1,2,8] => [2,1,2,3]
[8,4,6,3,5,7,2,1] => [1,2,3,1,1]
[6,1,7,4,3,2,5,8] => [1,2,1,1,3]
[2,7,4,6,3,5,1,8] => [2,2,2,2]
[4,7,2,6,1,5,3,8] => [2,2,2,2]
[8,3,6,2,7,5,1,4] => [1,2,2,1,2]
[2,8,4,7,3,1,6,5] => [2,2,1,2,1]
[2,8,7,3,6,1,5,4] => [2,1,2,2,1]
[7,1,8,5,4,6,3,2] => [1,2,1,2,1,1]
[7,6,2,5,1,8,4,3] => [1,1,2,2,1,1]
[1,8,4,7,5,3,6,2] => [2,2,1,2,1]
[6,5,2,8,4,1,7,3] => [1,1,2,1,2,1]
[2,8,5,7,1,4,6,3] => [2,2,3,1]
[4,1,5,8,3,7,2,6] => [1,3,2,2]
[2,6,8,5,7,1,4,3] => [3,2,2,1]
[8,6,3,5,7,2,4,1] => [1,1,3,2,1]
[1,5,4,6,8,3,7,2] => [2,3,2,1]
[8,4,3,5,7,2,6,1] => [1,1,3,2,1]
[4,1,5,2,3,8,7,6] => [1,2,3,1,1]
[1,7,6,8,3,5,2,4] => [2,2,2,2]
[1,4,8,3,5,7,2,6] => [3,3,2]
[7,4,6,3,5,8,2,1] => [1,2,3,1,1]
[3,7,2,6,1,8,5,4] => [2,2,2,1,1]
[7,3,6,2,8,5,1,4] => [1,2,2,1,2]
[6,3,5,8,2,4,7,1] => [1,3,3,1]
[1,6,8,3,5,7,2,4] => [3,3,2]
[1,4,8,6,3,7,5,2] => [3,1,2,1,1]
[4,8,3,7,5,2,6,1] => [2,2,1,2,1]
[2,8,7,1,4,6,3,5] => [2,1,3,2]
[6,5,8,2,4,7,1,3] => [1,2,3,2]
[4,3,8,6,2,7,5,1] => [1,2,1,2,1,1]
[1,8,5,3,7,4,2,6] => [2,1,2,1,2]
[6,8,1,3,5,2,4,7] => [2,3,3]
[7,5,6,2,8,4,3,1] => [1,2,2,1,1,1]
[8,6,2,1,7,4,3,5] => [1,1,1,2,1,2]
[8,3,5,1,6,7,4,2] => [1,2,3,1,1]
[5,7,6,2,8,1,4,3] => [2,1,2,2,1]
[8,6,7,2,5,4,1,3] => [1,2,2,1,2]
[4,3,8,7,5,1,2,6] => [1,2,1,1,3]
[6,3,8,1,2,5,4,7] => [1,2,3,2]
[8,2,5,1,6,7,4,3] => [1,2,3,1,1]
[8,1,5,2,6,7,4,3] => [1,2,3,1,1]
[7,8,2,6,3,4,5,1] => [2,2,3,1]
[7,6,4,8,5,3,2,1] => [1,1,2,1,1,1,1]
[7,6,5,3,8,4,2,1] => [1,1,1,2,1,1,1]
[7,6,5,4,2,8,3,1] => [1,1,1,1,2,1,1]
[7,5,4,8,6,3,2,1] => [1,1,2,1,1,1,1]
[7,6,5,3,2,8,4,1] => [1,1,1,1,2,1,1]
[1,5,7,2,4,3,6,8] => [3,2,3]
[1,6,5,3,2,4,7,8] => [2,1,1,4]
[1,7,2,4,6,5,3,8] => [2,3,1,2]
[1,4,7,2,6,5,3,8] => [3,2,1,2]
[1,2,6,8,7,4,3,5] => [4,1,1,2]
[1,2,7,4,3,5,8,6] => [3,1,3,1]
[1,6,2,8,7,4,3,5] => [2,2,1,1,2]
[1,7,4,2,3,5,8,6] => [2,1,4,1]
[1,8,5,2,3,6,4,7] => [2,1,3,2]
[1,7,4,8,5,2,3,6] => [2,2,1,3]
[1,4,7,5,2,8,6,3] => [3,1,2,1,1]
[1,6,3,7,4,2,8,5] => [2,2,1,2,1]
[1,8,5,2,7,4,3,6] => [2,1,2,1,2]
[1,4,8,7,5,3,2,6] => [3,1,1,1,2]
[1,2,5,8,6,3,7,4] => [4,1,2,1]
[1,2,4,7,5,8,6,3] => [4,2,1,1]
[1,5,8,7,6,2,4,3] => [3,1,1,2,1]
[1,3,5,8,7,6,2,4] => [4,1,1,2]
[1,5,2,4,3,6,8,7] => [2,2,3,1]
[1,6,8,7,5,3,2,4] => [3,1,1,1,2]
[1,2,5,7,4,3,8,6] => [4,1,2,1]
[1,5,3,2,6,8,7,4] => [2,1,3,1,1]
[1,4,2,6,8,7,5,3] => [2,3,1,1,1]
[1,5,8,6,3,2,7,4] => [3,1,1,2,1]
[1,8,5,2,6,3,4,7] => [2,1,2,3]
[1,7,4,6,3,2,8,5] => [2,2,1,2,1]
[1,6,3,2,8,5,4,7] => [2,1,2,1,2]
[1,3,8,6,4,2,5,7] => [3,1,1,3]
[1,5,7,4,2,3,8,6] => [3,1,3,1]
[6,3,7,5,4,2,8,1] => [1,2,1,1,2,1]
[7,5,2,6,3,4,8,1] => [1,1,2,3,1]
[3,8,2,7,5,4,1,6] => [2,2,1,1,2]
[5,4,8,6,7,1,2,3] => [1,2,2,3]
[8,6,2,4,1,7,5,3] => [1,1,2,2,1,1]
[2,7,3,6,8,5,4,1] => [2,3,1,1,1]
[3,7,2,8,1,6,4,5] => [2,2,2,2]
[6,3,1,2,5,8,7,4] => [1,1,4,1,1]
[8,5,2,4,6,7,3,1] => [1,1,4,1,1]
[2,5,8,7,1,4,3,6] => [3,1,2,2]
[6,1,5,8,2,4,3,7] => [1,3,2,2]
[3,4,6,5,8,2,7,1] => [3,2,2,1]
[5,2,4,1,6,7,8,3] => [1,2,4,1]
[4,2,7,1,6,8,3,5] => [1,2,3,2]
[5,2,8,6,4,7,1,3] => [1,2,1,2,2]
[4,7,5,1,6,3,8,2] => [2,1,2,2,1]
[8,5,1,3,6,2,7,4] => [1,1,3,2,1]
[8,2,1,3,6,7,4,5] => [1,1,4,2]
[8,5,7,2,3,1,4,6] => [1,2,2,3]
[6,1,3,4,7,2,8,5] => [1,4,2,1]
[8,4,7,1,5,3,2,6] => [1,2,2,1,2]
[8,4,7,2,5,3,1,6] => [1,2,2,1,2]
[8,3,4,5,2,1,7,6] => [1,3,1,2,1]
[6,3,4,7,2,1,5,8] => [1,3,1,3]
[5,3,6,7,2,8,1,4] => [1,3,2,2]
[3,4,2,6,1,8,7,5] => [2,2,2,1,1]
[8,6,1,4,7,3,5,2] => [1,1,3,2,1]
[5,3,6,7,2,8,4,1] => [1,3,2,1,1]
[5,3,6,7,2,4,8,1] => [1,3,3,1]
[5,3,6,7,2,4,1,8] => [1,3,2,2]
[3,8,2,5,6,7,4,1] => [2,4,1,1]
[3,8,4,1,6,7,2,5] => [2,1,3,2]
[5,3,6,7,8,1,2,4] => [1,4,3]
[2,8,3,6,1,4,7,5] => [2,2,3,1]
[8,6,3,1,7,2,5,4] => [1,1,1,2,2,1]
[8,6,4,2,7,1,5,3] => [1,1,1,2,2,1]
[5,6,2,7,1,4,3,8] => [2,2,2,2]
[5,3,6,7,4,1,2,8] => [1,3,1,3]
[8,6,3,4,7,5,1,2] => [1,1,3,1,2]
[8,6,1,4,7,5,2,3] => [1,1,3,1,2]
[5,1,8,2,6,7,4,3] => [1,2,3,1,1]
[3,8,5,1,6,7,4,2] => [2,1,3,1,1]
[4,1,5,6,7,3,8,2] => [1,4,2,1]
[4,1,5,6,7,3,2,8] => [1,4,1,2]
[2,8,1,5,6,7,4,3] => [2,4,1,1]
[1,5,8,2,6,7,4,3] => [3,3,1,1]
[5,8,6,1,7,4,3,2] => [2,1,2,1,1,1]
[8,5,2,6,7,4,3,1] => [1,1,3,1,1,1]
[8,5,3,6,7,4,2,1] => [1,1,3,1,1,1]
[7,1,3,6,5,2,8,4] => [1,3,1,2,1]
[8,2,1,4,5,7,6,3] => [1,1,4,1,1]
[1,4,7,5,2,3,8,6] => [3,1,3,1]
[6,1,7,5,4,2,8,3] => [1,2,1,1,2,1]
[2,7,3,6,5,1,8,4] => [2,2,1,2,1]
[8,6,5,1,3,7,4,2] => [1,1,1,3,1,1]
[5,7,6,2,4,8,1,3] => [2,1,3,2]
[3,7,5,6,4,8,1,2] => [2,2,2,2]
[7,6,8,1,3,5,4,2] => [1,2,3,1,1]
[2,8,4,6,1,7,5,3] => [2,2,2,1,1]
[2,8,6,4,7,3,5,1] => [2,1,2,2,1]
[8,7,1,4,6,5,3,2] => [1,1,3,1,1,1]
[3,5,8,6,7,1,4,2] => [3,2,2,1]
[1,2,4,6,8,5,3,7] => [5,1,2]
[3,1,5,8,6,2,4,7] => [1,3,1,3]
[2,5,4,6,8,1,3,7] => [2,3,3]
[6,5,2,4,7,8,1,3] => [1,1,4,2]
[7,2,5,8,6,4,1,3] => [1,3,1,1,2]
[5,2,8,3,4,7,6,1] => [1,2,3,1,1]
[2,4,3,8,7,1,6,5] => [2,2,1,2,1]
[1,5,8,7,4,2,6,3] => [3,1,1,2,1]
[6,8,7,5,4,3,1,2] => [2,1,1,1,1,2]
[5,3,4,8,6,2,7,1] => [1,3,1,2,1]
[4,5,2,6,3,8,7,1] => [2,2,2,1,1]
[4,3,5,8,6,2,7,1] => [1,3,1,2,1]
[3,4,5,8,6,2,7,1] => [4,1,2,1]
[5,2,6,3,4,8,7,1] => [1,2,3,1,1]
[7,6,1,5,2,4,8,3] => [1,1,2,3,1]
[5,4,2,3,6,1,8,7] => [1,1,3,2,1]
[4,1,7,3,2,6,8,5] => [1,2,1,3,1]
[6,1,8,5,4,7,2,3] => [1,2,1,2,2]
[5,1,7,4,3,6,8,2] => [1,2,1,3,1]
[8,1,5,7,6,4,2,3] => [1,3,1,1,2]
[4,3,7,6,8,2,1,5] => [1,2,2,1,2]
[8,1,4,7,2,3,5,6] => [1,3,4]
[3,2,7,1,5,6,8,4] => [1,2,4,1]
[6,1,8,5,2,7,3,4] => [1,2,1,2,2]
[8,7,2,6,3,1,4,5] => [1,1,2,1,3]
[6,5,2,4,7,1,8,3] => [1,1,3,2,1]
[5,4,2,3,7,1,8,6] => [1,1,3,2,1]
[8,7,1,6,4,5,2,3] => [1,1,2,2,2]
[5,4,1,3,7,2,8,6] => [1,1,3,2,1]
[6,5,1,4,7,3,8,2] => [1,1,3,2,1]
[7,6,1,5,8,4,2,3] => [1,1,3,1,2]
[8,6,3,7,2,5,4,1] => [1,1,2,2,1,1]
[4,7,8,3,2,6,5,1] => [3,1,2,1,1]
[8,3,4,7,6,2,1,5] => [1,3,1,1,2]
[8,4,5,7,1,3,2,6] => [1,3,2,2]
[3,1,8,7,5,2,4,6] => [1,2,1,1,3]
[6,5,8,7,2,4,3,1] => [1,2,1,2,1,1]
[5,4,6,1,8,3,2,7] => [1,2,2,1,2]
[4,3,6,5,8,2,1,7] => [1,2,2,1,2]
[7,6,3,2,8,5,4,1] => [1,1,1,2,1,1,1]
[3,2,6,8,7,1,4,5] => [1,3,1,3]
[3,8,2,7,6,1,4,5] => [2,2,1,3]
[2,4,5,1,8,7,3,6] => [3,2,1,2]
[4,3,7,1,8,5,2,6] => [1,2,2,1,2]
[3,7,6,8,2,1,4,5] => [2,2,1,3]
[7,4,2,6,1,8,3,5] => [1,1,2,2,2]
[7,4,6,1,8,3,2,5] => [1,2,2,1,2]
[3,6,8,7,2,1,4,5] => [3,1,1,3]
[3,8,7,2,5,6,1,4] => [2,1,3,2]
[3,2,8,5,6,7,1,4] => [1,2,3,2]
[7,3,6,2,5,8,1,4] => [1,2,3,2]
[8,3,2,1,4,7,5,6] => [1,1,1,3,2]
[3,7,6,2,8,1,4,5] => [2,1,2,3]
[7,4,2,1,6,8,3,5] => [1,1,1,3,2]
[7,3,1,8,5,4,2,6] => [1,1,2,1,1,2]
[6,8,3,2,7,1,4,5] => [2,1,2,3]
[4,7,3,1,8,5,2,6] => [2,1,2,1,2]
[8,3,6,2,5,7,1,4] => [1,2,3,2]
[3,7,2,5,6,8,1,4] => [2,4,2]
[4,6,8,2,1,7,3,5] => [3,1,2,2]
[3,7,8,2,5,6,1,4] => [3,3,2]
[7,5,1,4,2,3,6,8] => [1,1,2,4]
[7,8,6,1,2,4,5,3] => [2,1,4,1]
[1,5,3,4,7,8,6,2] => [2,4,1,1]
[5,1,2,4,7,8,6,3] => [1,5,1,1]
[5,1,7,8,6,2,3,4] => [1,3,1,3]
[8,5,1,6,7,2,3,4] => [1,1,3,3]
[7,5,1,2,4,6,8,3] => [1,1,5,1]
[6,1,5,2,7,3,4,8] => [1,2,2,3]
[7,1,2,6,4,5,8,3] => [1,3,3,1]
[1,7,3,6,4,5,8,2] => [2,2,3,1]
[1,8,3,6,4,5,7,2] => [2,2,3,1]
[8,1,6,2,7,3,4,5] => [1,2,2,3]
[7,1,6,2,5,3,4,8] => [1,2,2,3]
[8,1,6,2,5,3,4,7] => [1,2,2,3]
[8,1,7,2,5,3,4,6] => [1,2,2,3]
[8,1,2,7,4,5,6,3] => [1,3,3,1]
[1,8,3,7,4,5,6,2] => [2,2,3,1]
[8,1,6,7,5,2,3,4] => [1,3,1,3]
[7,3,1,2,6,4,5,8] => [1,1,3,3]
[3,1,2,8,5,6,7,4] => [1,3,3,1]
[6,3,1,2,7,4,5,8] => [1,1,3,3]
[6,1,7,4,2,3,5,8] => [1,2,1,4]
[1,7,3,4,6,8,5,2] => [2,4,1,1]
[1,7,3,8,4,5,6,2] => [2,2,3,1]
[7,1,8,2,5,3,4,6] => [1,2,2,3]
[6,1,7,2,5,3,4,8] => [1,2,2,3]
[5,1,7,2,6,3,4,8] => [1,2,2,3]
[5,1,8,2,6,3,4,7] => [1,2,2,3]
[1,6,3,7,4,5,8,2] => [2,2,3,1]
[2,5,7,3,4,1,8,6] => [3,2,2,1]
[2,4,7,3,5,1,6,8] => [3,2,3]
[2,5,8,4,3,6,1,7] => [3,1,2,2]
[2,4,8,6,3,5,1,7] => [3,1,2,2]
[2,3,7,5,4,1,6,8] => [3,1,1,3]
[3,4,6,2,1,5,8,7] => [3,1,3,1]
[3,4,7,2,1,6,5,8] => [3,1,2,2]
[3,6,8,5,4,1,2,7] => [3,1,1,3]
[2,6,8,3,5,1,4,7] => [3,2,3]
[2,3,6,1,5,8,4,7] => [3,3,2]
[2,3,7,1,6,5,8,4] => [3,2,2,1]
[2,4,7,1,3,6,8,5] => [3,4,1]
[5,4,7,8,1,3,2,6] => [1,3,2,2]
[4,6,3,8,1,5,2,7] => [2,2,2,2]
[2,5,7,1,4,6,3,8] => [3,3,2]
[2,4,7,1,6,3,5,8] => [3,2,3]
[2,3,7,1,6,5,4,8] => [3,2,1,2]
[2,5,7,1,4,3,6,8] => [3,2,3]
[2,5,7,3,1,4,6,8] => [3,1,4]
[3,4,7,2,1,6,8,5] => [3,1,3,1]
[4,6,3,7,1,5,2,8] => [2,2,2,2]
[5,7,3,2,8,1,4,6] => [2,1,2,3]
[3,6,5,7,1,8,2,4] => [2,2,2,2]
[2,6,5,7,1,8,4,3] => [2,2,2,1,1]
[3,6,8,5,4,1,7,2] => [3,1,1,2,1]
[2,6,8,3,5,1,7,4] => [3,2,2,1]
[5,4,7,8,1,3,6,2] => [1,3,3,1]
[2,5,7,1,4,6,8,3] => [3,4,1]
[2,4,7,1,6,3,8,5] => [3,2,2,1]
[2,4,7,1,6,8,3,5] => [3,3,2]
[2,4,8,3,1,7,6,5] => [3,1,2,1,1]
[5,3,6,4,7,1,2,8] => [1,2,2,3]
[8,6,5,1,2,4,3,7] => [1,1,1,3,2]
[7,6,1,4,2,3,5,8] => [1,1,2,4]
[6,5,1,4,7,2,3,8] => [1,1,3,3]
[6,5,4,8,1,3,2,7] => [1,1,2,2,2]
[7,5,4,8,3,1,2,6] => [1,1,2,1,3]
[2,6,3,5,7,4,8,1] => [2,3,2,1]
[2,6,3,5,8,4,1,7] => [2,3,1,2]
[6,5,1,4,8,3,2,7] => [1,1,3,1,2]
[7,6,5,2,4,8,3,1] => [1,1,1,3,1,1]
[7,6,5,3,8,2,1,4] => [1,1,1,2,1,2]
[8,7,6,3,1,2,5,4] => [1,1,1,1,3,1]
[8,7,1,4,3,2,5,6] => [1,1,2,1,3]
[2,8,3,7,4,1,5,6] => [2,2,1,3]
[2,7,3,6,1,5,8,4] => [2,2,3,1]
[7,6,1,4,2,5,8,3] => [1,1,2,3,1]
[8,7,5,1,4,2,3,6] => [1,1,1,2,3]
[6,3,7,4,2,8,1,5] => [1,2,1,2,2]
[6,3,7,4,1,5,8,2] => [1,2,1,3,1]
[7,4,1,2,5,3,8,6] => [1,1,3,2,1]
[2,4,3,7,5,1,8,6] => [2,2,1,2,1]
[8,4,1,2,5,3,6,7] => [1,1,3,3]
[7,3,8,4,2,5,1,6] => [1,2,1,2,2]
[7,3,8,4,2,5,6,1] => [1,2,1,3,1]
[8,7,5,1,4,2,6,3] => [1,1,1,2,2,1]
[8,6,1,4,2,5,3,7] => [1,1,2,2,2]
[8,7,1,4,3,2,6,5] => [1,1,2,1,2,1]
[8,7,6,3,1,4,5,2] => [1,1,1,1,3,1]
[8,7,6,3,1,5,4,2] => [1,1,1,1,2,1,1]
[2,8,3,7,4,5,1,6] => [2,2,2,2]
[2,8,3,7,4,5,6,1] => [2,2,3,1]
[8,7,5,2,4,3,6,1] => [1,1,1,2,2,1]
[4,2,5,7,3,1,6,8] => [1,3,1,3]
[8,2,4,5,3,1,6,7] => [1,3,1,3]
[8,4,5,1,3,2,6,7] => [1,2,2,3]
[4,3,7,5,2,1,6,8] => [1,2,1,1,3]
[1,6,7,4,3,2,5,8] => [3,1,1,3]
[1,4,5,7,3,2,6,8] => [4,1,3]
[3,5,1,4,7,2,6,8] => [2,3,3]
[2,5,1,4,7,8,3,6] => [2,4,2]
[4,3,7,1,5,2,6,8] => [1,2,2,3]
[3,5,1,6,4,2,7,8] => [2,2,1,3]
[6,4,3,1,7,2,5,8] => [1,1,1,2,3]
[6,2,7,4,3,1,5,8] => [1,2,1,1,3]
[2,6,4,1,7,3,5,8] => [2,1,2,3]
[6,3,2,7,4,5,1,8] => [1,1,2,2,2]
[7,2,4,1,3,6,8,5] => [1,2,4,1]
[6,3,2,5,7,1,4,8] => [1,1,3,3]
[3,2,6,5,7,1,4,8] => [1,2,2,3]
[1,7,3,2,5,6,4,8] => [2,1,3,2]
[2,1,7,3,5,6,8,4] => [1,2,4,1]
[2,1,6,3,5,7,8,4] => [1,2,4,1]
[1,6,3,2,5,7,4,8] => [2,1,3,2]
[1,4,6,5,2,7,3,8] => [3,1,2,2]
[5,6,2,1,4,3,7,8] => [2,1,2,3]
[2,5,1,6,4,3,7,8] => [2,2,1,3]
[2,5,4,1,6,3,7,8] => [2,1,2,3]
[4,6,1,5,2,7,3,8] => [2,2,2,2]
[1,6,5,3,7,2,4,8] => [2,1,2,3]
[1,2,4,7,5,3,6,8] => [4,1,3]
[1,2,5,4,7,3,6,8] => [3,2,3]
[1,2,5,3,4,8,7,6] => [3,3,1,1]
[5,4,7,6,1,2,3,8] => [1,2,1,4]
[4,3,7,6,5,1,2,8] => [1,2,1,1,3]
[4,8,3,6,5,1,2,7] => [2,2,1,3]
[5,3,7,6,1,8,2,4] => [1,2,1,2,2]
[4,2,7,6,5,1,8,3] => [1,2,1,1,2,1]
[5,2,7,6,1,8,4,3] => [1,2,1,2,1,1]
[7,8,1,3,6,5,4,2] => [2,3,1,1,1]
[5,8,2,6,1,7,4,3] => [2,2,2,1,1]
[1,5,3,7,6,2,8,4] => [2,2,1,2,1]
[1,6,3,7,2,8,5,4] => [2,2,2,1,1]
[1,7,8,2,4,6,5,3] => [3,3,1,1]
[1,5,8,3,6,2,7,4] => [3,2,2,1]
[6,8,7,1,4,5,2,3] => [2,1,3,2]
[7,8,1,4,6,5,2,3] => [2,3,1,2]
[5,8,7,3,1,6,2,4] => [2,1,1,2,2]
[1,2,6,4,7,3,8,5] => [3,2,2,1]
[1,2,7,8,3,5,6,4] => [4,3,1]
[1,6,8,7,2,4,5,3] => [3,1,3,1]
[6,8,7,1,2,4,5,3] => [2,1,4,1]
[4,8,7,6,2,1,5,3] => [2,1,1,1,2,1]
[5,4,2,3,8,6,1,7] => [1,1,3,1,2]
[2,6,3,4,1,5,8,7] => [2,2,3,1]
[5,6,2,1,4,3,8,7] => [2,1,2,2,1]
[5,6,2,3,4,1,8,7] => [2,3,2,1]
[2,7,4,5,8,1,6,3] => [2,3,2,1]
[2,6,1,8,5,4,3,7] => [2,2,1,1,2]
[5,8,6,2,3,4,1,7] => [2,1,3,2]
[5,8,6,2,1,4,3,7] => [2,1,1,2,2]
[4,5,8,6,2,1,3,7] => [3,1,1,3]
[6,4,7,5,8,2,1,3] => [1,2,2,1,2]
[6,3,7,4,2,5,8,1] => [1,2,1,3,1]
[4,8,2,1,5,7,6,3] => [2,1,3,1,1]
[2,1,4,8,5,6,3,7] => [1,3,2,2]
[4,8,5,6,2,1,3,7] => [2,2,1,3]
[6,2,1,5,8,4,3,7] => [1,1,3,1,2]
[7,5,6,2,4,3,8,1] => [1,2,2,2,1]
[2,8,6,3,4,1,5,7] => [2,1,2,3]
[2,6,3,4,1,8,5,7] => [2,2,2,2]
[4,6,2,5,7,3,8,1] => [2,3,2,1]
[4,2,8,5,3,6,1,7] => [1,2,1,2,2]
[2,3,6,4,1,8,5,7] => [3,1,2,2]
[2,3,6,7,8,4,1,5] => [5,1,2]
[7,8,4,2,5,3,6,1] => [2,1,2,2,1]
[6,2,4,5,8,1,7,3] => [1,4,2,1]
[8,1,7,4,5,6,2,3] => [1,2,3,2]
[2,7,8,3,4,1,6,5] => [3,2,2,1]
[2,1,7,8,4,3,6,5] => [1,3,1,2,1]
[4,2,5,7,8,3,6,1] => [1,4,2,1]
[7,8,3,5,6,2,4,1] => [2,3,2,1]
[6,2,1,4,5,7,8,3] => [1,1,5,1]
[2,1,7,8,4,5,6,3] => [1,3,3,1]
[8,2,1,4,3,7,6,5] => [1,1,2,2,1,1]
[6,4,2,3,8,1,7,5] => [1,1,3,2,1]
[6,5,4,2,1,8,3,7] => [1,1,1,1,2,2]
[5,4,3,1,8,6,2,7] => [1,1,1,2,1,2]
[7,6,5,3,1,2,8,4] => [1,1,1,1,3,1]
[6,5,4,1,2,8,7,3] => [1,1,1,3,1,1]
[6,5,3,2,1,8,4,7] => [1,1,1,1,2,2]
[5,4,1,6,2,8,3,7] => [1,1,2,2,2]
[4,3,1,8,6,5,2,7] => [1,1,2,1,1,2]
[5,4,2,1,8,6,3,7] => [1,1,1,2,1,2]
[4,1,6,5,2,8,3,7] => [1,2,1,2,2]
[6,5,3,1,4,7,8,2] => [1,1,1,4,1]
[6,2,3,1,7,8,4,5] => [1,2,3,2]
[3,1,8,6,7,2,4,5] => [1,2,2,3]
[6,5,1,4,2,3,7,8] => [1,1,2,4]
[5,1,3,2,6,4,7,8] => [1,2,2,3]
[4,7,8,2,3,6,1,5] => [3,3,2]
[4,2,5,1,8,6,7,3] => [1,2,2,2,1]
[7,5,8,1,4,2,6,3] => [1,2,2,2,1]
[4,5,3,7,1,6,8,2] => [2,2,3,1]
[4,2,8,5,3,6,7,1] => [1,2,1,3,1]
[2,7,4,1,8,5,6,3] => [2,1,2,2,1]
[5,2,8,1,4,7,6,3] => [1,2,3,1,1]
[2,8,6,3,5,4,7,1] => [2,1,2,2,1]
[3,5,2,8,6,4,7,1] => [2,2,1,2,1]
[4,1,3,6,2,8,5,7] => [1,3,2,2]
[5,2,4,7,6,1,8,3] => [1,3,1,2,1]
[7,3,5,1,6,4,8,2] => [1,2,2,2,1]
[7,5,2,3,6,1,4,8] => [1,1,3,3]
[7,5,1,2,4,8,3,6] => [1,1,4,2]
[6,2,5,8,4,7,1,3] => [1,3,2,2]
[5,8,2,3,6,1,4,7] => [2,3,3]
[5,1,4,7,2,6,8,3] => [1,3,3,1]
[6,8,2,5,4,1,3,7] => [2,2,1,3]
[7,1,6,3,2,4,5,8] => [1,2,1,4]
[4,1,6,8,3,2,5,7] => [1,3,1,3]
[1,6,5,8,2,3,7,4] => [2,2,3,1]
[1,6,3,2,4,8,5,7] => [2,1,3,2]
[2,5,7,1,6,4,8,3] => [3,2,2,1]
[1,8,2,5,6,4,7,3] => [2,3,2,1]
[2,4,8,3,7,5,1,6] => [3,2,1,2]
[4,7,6,1,5,2,3,8] => [2,1,2,3]
[3,7,4,6,1,8,5,2] => [2,2,2,1,1]
[5,6,2,3,8,1,4,7] => [2,3,3]
[5,6,1,2,4,7,3,8] => [2,4,2]
[4,7,1,3,8,6,2,5] => [2,3,1,2]
[2,7,1,4,8,5,6,3] => [2,3,2,1]
[2,5,4,8,1,6,3,7] => [2,2,2,2]
[1,6,3,4,7,2,8,5] => [2,3,2,1]
[2,8,4,6,1,3,7,5] => [2,2,3,1]
[8,4,6,2,5,3,7,1] => [1,2,2,2,1]
[8,3,7,6,2,1,5,4] => [1,2,1,1,2,1]
[8,5,2,7,6,1,4,3] => [1,1,2,1,2,1]
[5,8,2,7,6,1,4,3] => [2,2,1,2,1]
[8,3,7,6,2,5,1,4] => [1,2,1,2,2]
[7,3,8,6,5,1,4,2] => [1,2,1,1,2,1]
[6,2,4,7,5,3,8,1] => [1,3,1,2,1]
[7,1,3,2,5,8,6,4] => [1,2,3,1,1]
[2,6,3,7,5,4,8,1] => [2,2,1,2,1]
[3,7,4,5,2,6,8,1] => [2,2,3,1]
[7,1,3,4,5,8,6,2] => [1,5,1,1]
[3,1,4,6,8,7,5,2] => [1,4,1,1,1]
[2,7,5,1,4,8,6,3] => [2,1,3,1,1]
[5,4,7,1,3,8,6,2] => [1,2,3,1,1]
[7,8,4,6,2,1,3,5] => [2,2,1,3]
[1,8,2,6,4,7,3,5] => [2,2,2,2]
[2,8,5,1,4,7,3,6] => [2,1,3,2]
[3,1,7,2,4,8,6,5] => [1,2,3,1,1]
[1,6,7,5,2,8,4,3] => [3,1,2,1,1]
[7,6,3,1,8,2,5,4] => [1,1,1,2,2,1]
[8,1,7,6,3,4,2,5] => [1,2,1,2,2]
[8,1,4,2,5,7,3,6] => [1,2,3,2]
[7,2,6,5,8,4,3,1] => [1,2,2,1,1,1]
[4,3,2,8,5,6,1,7] => [1,1,2,2,2]
[2,7,3,8,4,5,1,6] => [2,2,2,2]
[3,5,8,4,6,2,1,7] => [3,2,1,2]
[8,5,2,3,7,1,4,6] => [1,1,3,3]
[3,4,8,5,6,2,7,1] => [3,2,2,1]
[3,2,8,6,4,5,7,1] => [1,2,1,3,1]
[5,8,2,3,4,6,1,7] => [2,4,2]
[6,1,3,4,2,5,7,8] => [1,3,4]
[1,5,6,3,2,4,7,8] => [3,1,4]
[6,3,5,2,4,1,7,8] => [1,2,2,3]
[7,8,3,5,2,4,6,1] => [2,2,3,1]
[2,4,5,7,3,6,1,8] => [4,2,2]
[2,5,3,1,6,4,7,8] => [2,1,2,3]
[6,5,1,3,4,2,7,8] => [1,1,3,3]
[5,7,4,3,2,6,1,8] => [2,1,1,2,2]
[6,8,7,4,3,5,1,2] => [2,1,1,2,2]
[2,6,7,8,4,3,5,1] => [4,1,2,1]
[1,7,8,4,5,3,6,2] => [3,2,2,1]
[7,1,8,5,3,4,6,2] => [1,2,1,3,1]
[5,7,4,2,1,6,3,8] => [2,1,1,2,2]
[5,1,4,7,3,6,2,8] => [1,3,2,2]
[7,4,8,6,3,5,2,1] => [1,2,1,2,1,1]
[4,7,6,3,5,2,1,8] => [2,1,2,1,2]
[1,6,5,8,7,4,2,3] => [2,2,1,1,2]
[6,1,3,8,7,5,2,4] => [1,3,1,1,2]
[7,6,2,1,8,3,5,4] => [1,1,1,2,2,1]
[7,1,3,6,8,2,5,4] => [1,4,2,1]
[1,7,5,6,8,2,4,3] => [2,3,2,1]
[3,6,7,5,8,2,4,1] => [3,2,2,1]
[1,7,4,5,2,8,6,3] => [2,2,2,1,1]
[7,5,4,2,1,8,6,3] => [1,1,1,1,2,1,1]
[3,6,7,4,2,8,5,1] => [3,1,2,1,1]
[4,6,3,2,7,8,5,1] => [2,1,3,1,1]
[7,6,1,3,4,2,5,8] => [1,1,3,3]
[7,8,2,6,4,5,3,1] => [2,2,2,1,1]
[7,2,5,4,6,1,3,8] => [1,2,2,3]
[7,1,2,4,5,6,3,8] => [1,5,2]
[7,3,2,1,5,6,4,8] => [1,1,1,3,2]
[3,6,2,1,7,5,4,8] => [2,1,2,1,2]
[2,6,7,3,1,5,4,8] => [3,1,2,2]
[2,1,6,4,7,5,3,8] => [1,2,2,1,2]
[7,2,8,5,6,4,3,1] => [1,2,2,1,1,1]
[7,6,8,5,4,1,3,2] => [1,2,1,1,2,1]
[7,1,8,4,6,5,3,2] => [1,2,2,1,1,1]
[7,8,6,3,1,5,4,2] => [2,1,1,2,1,1]
[7,6,1,4,5,3,2,8] => [1,1,3,1,2]
[7,1,5,6,4,3,2,8] => [1,3,1,1,2]
[4,1,3,8,6,2,7,5] => [1,3,1,2,1]
[3,5,8,2,1,6,7,4] => [3,1,3,1]
[5,1,2,8,4,6,7,3] => [1,3,3,1]
[5,6,3,2,8,1,7,4] => [2,1,2,2,1]
[8,2,6,3,1,5,7,4] => [1,2,1,3,1]
[8,2,5,3,6,1,7,4] => [1,2,2,2,1]
[5,1,2,4,6,8,7,3] => [1,5,1,1]
[8,2,5,6,7,4,3,1] => [1,4,1,1,1]
[5,1,6,4,7,3,2,8] => [1,2,2,1,2]
[8,2,5,3,4,7,6,1] => [1,2,3,1,1]
[8,2,5,3,4,7,1,6] => [1,2,3,2]
[7,5,3,2,4,1,8,6] => [1,1,1,2,2,1]
[7,1,2,3,6,8,4,5] => [1,5,2]
[8,2,5,3,4,1,6,7] => [1,2,2,3]
[5,7,3,6,8,4,1,2] => [2,3,1,2]
[7,1,6,8,5,3,4,2] => [1,3,1,2,1]
[6,7,2,8,3,4,5,1] => [2,2,3,1]
[3,7,8,6,5,4,1,2] => [3,1,1,1,2]
[3,1,8,4,6,5,2,7] => [1,2,2,1,2]
[4,1,3,8,6,5,2,7] => [1,3,1,1,2]
[8,2,4,1,6,5,7,3] => [1,2,2,2,1]
[3,1,8,4,6,5,7,2] => [1,2,2,2,1]
[7,6,2,8,3,1,5,4] => [1,1,2,1,2,1]
[7,1,6,8,5,3,2,4] => [1,3,1,1,2]
[7,1,6,4,8,3,2,5] => [1,2,2,1,2]
[6,1,2,3,8,4,7,5] => [1,4,2,1]
[6,5,2,4,3,1,8,7] => [1,1,2,1,2,1]
[8,2,5,3,4,6,1,7] => [1,2,3,2]
[8,2,5,3,4,6,7,1] => [1,2,4,1]
[6,5,2,4,3,1,7,8] => [1,1,2,1,3]
[8,1,6,7,4,2,5,3] => [1,3,1,2,1]
[8,1,6,7,4,2,3,5] => [1,3,1,3]
[8,1,6,4,5,2,3,7] => [1,2,2,3]
[8,1,6,4,5,2,7,3] => [1,2,2,2,1]
[8,6,4,7,2,3,5,1] => [1,1,2,3,1]
[8,6,4,1,2,3,7,5] => [1,1,1,4,1]
[8,6,1,4,2,5,7,3] => [1,1,2,3,1]
[8,6,1,4,5,2,7,3] => [1,1,3,2,1]
[8,6,7,4,2,5,1,3] => [1,2,1,2,2]
[8,6,4,2,5,3,7,1] => [1,1,1,2,2,1]
[8,6,4,2,5,3,1,7] => [1,1,1,2,1,2]
[8,6,4,2,7,3,1,5] => [1,1,1,2,1,2]
[8,6,4,1,5,7,2,3] => [1,1,1,3,2]
[8,6,4,2,1,5,7,3] => [1,1,1,1,3,1]
[8,6,4,2,1,7,3,5] => [1,1,1,1,2,2]
[8,6,1,4,7,2,5,3] => [1,1,3,2,1]
[8,6,4,1,5,2,3,7] => [1,1,1,2,3]
[8,6,1,4,7,2,3,5] => [1,1,3,3]
[8,6,7,1,4,5,2,3] => [1,2,3,2]
[8,6,4,5,2,7,3,1] => [1,1,2,2,1,1]
[8,6,7,4,2,1,5,3] => [1,2,1,1,2,1]
[8,6,4,7,2,1,5,3] => [1,1,2,1,2,1]
[8,6,4,2,5,7,3,1] => [1,1,1,3,1,1]
[8,6,4,2,5,1,7,3] => [1,1,1,2,2,1]
[8,6,4,5,1,2,7,3] => [1,1,2,3,1]
[8,6,4,2,5,7,1,3] => [1,1,1,3,2]
[3,4,7,5,8,2,6,1] => [3,2,2,1]
[8,7,1,4,6,5,2,3] => [1,1,3,1,2]
[8,3,7,6,4,5,1,2] => [1,2,1,2,2]
[5,3,8,6,4,1,7,2] => [1,2,1,1,2,1]
[7,4,5,1,2,8,6,3] => [1,2,3,1,1]
[6,4,7,1,8,5,2,3] => [1,2,2,1,2]
[5,7,4,2,3,8,6,1] => [2,1,3,1,1]
[3,8,2,5,1,7,4,6] => [2,2,2,2]
[5,8,4,2,3,7,1,6] => [2,1,3,2]
[4,8,5,2,1,7,3,6] => [2,1,1,2,2]
[8,5,7,6,1,2,4,3] => [1,2,1,3,1]
[6,8,7,5,2,4,1,3] => [2,1,1,2,2]
[5,7,6,8,4,1,3,2] => [2,2,1,2,1]
[7,3,1,6,8,5,4,2] => [1,1,3,1,1,1]
[5,3,1,7,4,8,6,2] => [1,1,2,2,1,1]
[7,3,1,8,6,4,5,2] => [1,1,2,1,2,1]
[8,6,4,1,7,3,2,5] => [1,1,1,2,1,2]
[4,6,8,3,7,1,2,5] => [3,2,3]
[3,5,2,8,4,7,1,6] => [2,2,2,2]
[6,4,8,3,7,2,1,5] => [1,2,2,1,2]
[3,6,2,8,7,4,1,5] => [2,2,1,1,2]
[6,8,4,2,7,3,1,5] => [2,1,2,1,2]
[5,4,8,6,7,3,2,1] => [1,2,2,1,1,1]
[3,4,7,8,5,1,2,6] => [4,1,3]
[4,7,3,2,5,6,8,1] => [2,1,4,1]
[3,2,7,6,4,5,8,1] => [1,2,1,3,1]
[1,7,3,6,8,4,2,5] => [2,3,1,2]
[2,3,6,5,1,8,7,4] => [3,1,2,1,1]
[8,3,1,2,6,4,7,5] => [1,1,3,2,1]
[1,7,8,2,4,3,5,6] => [3,2,3]
[3,6,4,7,1,2,8,5] => [2,2,3,1]
[5,7,4,8,1,3,2,6] => [2,2,2,2]
[4,3,7,8,1,5,2,6] => [1,3,2,2]
[8,5,4,2,6,1,7,3] => [1,1,1,2,2,1]
[3,2,6,8,7,4,1,5] => [1,3,1,1,2]
[2,3,7,5,1,8,6,4] => [3,1,2,1,1]
[6,3,1,2,8,7,4,5] => [1,1,3,1,2]
[5,2,1,3,8,7,6,4] => [1,1,3,1,1,1]
[7,2,1,5,3,8,4,6] => [1,1,2,2,2]
[1,5,8,2,4,3,6,7] => [3,2,3]
[4,3,6,8,1,5,2,7] => [1,3,2,2]
[5,4,6,8,3,1,7,2] => [1,3,1,2,1]
[3,6,8,4,5,1,7,2] => [3,2,2,1]
[8,6,1,7,2,4,3,5] => [1,1,2,2,2]
[7,3,1,2,8,6,4,5] => [1,1,3,1,2]
[2,3,7,6,1,8,5,4] => [3,1,2,1,1]
[3,2,7,8,6,4,1,5] => [1,3,1,1,2]
[6,2,8,3,1,4,7,5] => [1,2,1,3,1]
[3,1,2,8,7,4,5,6] => [1,3,1,3]
[2,1,3,8,7,4,6,5] => [1,3,1,2,1]
[2,1,3,8,7,4,5,6] => [1,3,1,3]
[1,6,8,3,2,4,7,5] => [3,1,3,1]
[8,5,1,7,2,4,3,6] => [1,1,2,2,2]
[8,4,1,7,3,2,5,6] => [1,1,2,1,3]
[8,3,1,6,2,7,5,4] => [1,1,2,2,1,1]
[1,3,2,8,7,6,4,5] => [2,2,1,1,2]
[2,1,3,8,7,6,4,5] => [1,3,1,1,2]
[1,7,2,6,3,5,8,4] => [2,2,3,1]
[1,7,8,2,6,3,5,4] => [3,2,2,1]
[1,6,3,7,2,5,4,8] => [2,2,2,2]
[1,7,2,6,8,3,4,5] => [2,3,3]
[1,7,2,4,6,3,5,8] => [2,3,3]
[5,7,2,8,4,1,3,6] => [2,2,1,3]
[2,6,8,3,1,5,4,7] => [3,1,2,2]
[2,6,8,3,1,4,5,7] => [3,1,4]
[5,6,2,8,4,1,3,7] => [2,2,1,3]
[6,3,7,8,2,1,5,4] => [1,3,1,2,1]
[2,4,8,3,1,6,7,5] => [3,1,3,1]
[3,4,2,6,1,5,8,7] => [2,2,3,1]
[2,5,8,3,1,6,4,7] => [3,1,2,2]
[3,5,8,4,2,1,6,7] => [3,1,1,3]
[2,5,8,3,1,4,6,7] => [3,1,4]
[3,4,2,7,1,6,5,8] => [2,2,2,2]
[2,8,1,3,5,7,4,6] => [2,4,2]
[1,3,7,6,2,5,4,8] => [3,1,2,2]
[2,8,7,1,4,3,5,6] => [2,1,2,3]
[8,7,4,6,1,3,2,5] => [1,1,2,2,2]
[7,3,8,6,1,4,5,2] => [1,2,1,3,1]
[5,4,7,8,3,2,6,1] => [1,3,1,2,1]
[3,2,5,4,6,8,1,7] => [1,2,3,2]
[7,4,5,8,3,1,6,2] => [1,3,1,2,1]
[1,5,4,7,3,2,6,8] => [2,2,1,3]
[8,4,5,7,3,1,2,6] => [1,3,1,3]
[3,4,8,5,7,1,2,6] => [3,2,3]
[3,6,8,2,5,1,4,7] => [3,2,3]
[3,6,8,7,2,5,4,1] => [3,1,2,1,1]
[3,5,7,2,8,1,6,4] => [3,2,2,1]
[4,7,6,8,3,5,2,1] => [2,2,2,1,1]
[3,4,7,5,8,1,6,2] => [3,2,2,1]
[3,4,6,5,8,2,1,7] => [3,2,1,2]
[2,4,6,7,8,3,5,1] => [5,2,1]
[1,4,2,5,7,6,3,8] => [2,3,1,2]
[1,4,2,6,8,5,3,7] => [2,3,1,2]
[1,2,6,8,3,5,4,7] => [4,2,2]
[1,6,8,3,5,4,2,7] => [3,2,1,2]
[1,5,3,2,4,6,8,7] => [2,1,4,1]
[1,5,8,7,6,3,2,4] => [3,1,1,1,2]
[1,5,7,6,3,2,4,8] => [3,1,1,3]
[1,6,3,2,4,7,5,8] => [2,1,3,2]
[1,6,3,2,4,8,7,5] => [2,1,3,1,1]
[1,2,7,6,4,3,5,8] => [3,1,1,3]
[1,8,7,5,2,4,6,3] => [2,1,1,3,1]
[1,7,5,2,4,6,3,8] => [2,1,3,2]
[1,7,4,2,5,3,6,8] => [2,1,2,3]
[1,8,4,7,5,2,6,3] => [2,2,1,2,1]
[1,7,5,2,3,6,4,8] => [2,1,3,2]
[1,7,5,2,6,3,4,8] => [2,1,2,3]
[1,6,3,7,4,2,5,8] => [2,2,1,3]
[1,6,3,2,7,5,4,8] => [2,1,2,1,2]
[1,4,7,5,2,6,3,8] => [3,1,2,2]
[1,3,6,4,8,7,5,2] => [3,2,1,1,1]
[1,3,7,6,4,2,5,8] => [3,1,1,3]
[1,3,2,4,8,5,7,6] => [2,3,2,1]
[1,3,8,7,5,2,4,6] => [3,1,1,3]
[1,4,6,3,2,7,5,8] => [3,1,2,2]
[1,4,6,3,2,8,7,5] => [3,1,2,1,1]
[1,5,7,6,4,2,3,8] => [3,1,1,3]
[1,6,3,2,8,4,7,5] => [2,1,2,2,1]
[1,6,3,5,2,7,4,8] => [2,2,2,2]
[1,6,3,5,2,8,7,4] => [2,2,2,1,1]
[1,8,3,7,5,2,4,6] => [2,2,1,3]
[6,4,7,1,5,3,8,2] => [1,2,2,2,1]
[5,3,8,2,6,4,7,1] => [1,2,2,2,1]
[4,3,8,2,6,5,7,1] => [1,2,2,2,1]
[2,6,1,8,3,4,7,5] => [2,2,3,1]
[1,6,2,8,3,4,7,5] => [2,2,3,1]
[5,7,1,4,8,2,3,6] => [2,3,3]
[6,5,7,1,4,3,8,2] => [1,2,2,2,1]
[4,8,3,5,7,6,1,2] => [2,3,1,2]
[5,7,6,1,2,4,8,3] => [2,1,4,1]
[4,8,3,5,7,6,2,1] => [2,3,1,1,1]
[1,3,4,2,8,5,7,6] => [3,2,2,1]
[5,7,6,1,4,8,3,2] => [2,1,3,1,1]
[5,7,6,2,4,8,3,1] => [2,1,3,1,1]
[6,7,5,2,3,8,4,1] => [2,1,3,1,1]
[6,7,5,3,8,4,2,1] => [2,1,2,1,1,1]
[3,2,1,4,8,5,7,6] => [1,1,3,2,1]
[7,3,1,4,2,6,5,8] => [1,1,2,2,2]
[7,6,1,3,2,5,4,8] => [1,1,2,2,2]
[7,6,1,4,2,5,3,8] => [1,1,2,2,2]
[7,2,1,5,3,6,4,8] => [1,1,2,2,2]
[7,4,1,6,2,5,3,8] => [1,1,2,2,2]
[7,6,2,5,1,4,3,8] => [1,1,2,2,2]
[5,7,2,6,1,4,3,8] => [2,2,2,2]
[6,7,2,5,1,4,3,8] => [2,2,2,2]
[6,3,1,7,2,5,4,8] => [1,1,2,2,2]
[6,2,1,8,3,5,4,7] => [1,1,2,2,2]
[6,3,1,8,2,5,4,7] => [1,1,2,2,2]
[6,4,1,8,2,5,3,7] => [1,1,2,2,2]
[5,7,1,4,3,8,2,6] => [2,2,2,2]
[5,4,1,8,2,6,3,7] => [1,1,2,2,2]
[5,3,1,8,2,6,4,7] => [1,1,2,2,2]
[5,3,1,7,2,6,4,8] => [1,1,2,2,2]
[4,7,1,5,2,6,3,8] => [2,2,2,2]
[6,3,1,5,2,7,4,8] => [1,1,2,2,2]
[6,5,1,4,2,7,3,8] => [1,1,2,2,2]
[6,4,1,3,2,7,5,8] => [1,1,2,2,2]
[6,2,1,4,3,7,5,8] => [1,1,2,2,2]
[5,6,1,3,2,8,4,7] => [2,2,2,2]
[5,6,1,4,2,8,3,7] => [2,2,2,2]
[6,5,1,4,2,8,3,7] => [1,1,2,2,2]
[4,6,1,5,2,8,3,7] => [2,2,2,2]
[5,4,1,8,3,7,2,6] => [1,1,2,2,2]
[5,2,1,8,4,7,3,6] => [1,1,2,2,2]
[1,8,7,3,4,5,2,6] => [2,1,3,2]
[1,8,7,4,5,2,3,6] => [2,1,2,3]
[1,2,6,8,7,3,4,5] => [4,1,3]
[1,3,7,8,4,5,6,2] => [4,3,1]
[8,4,2,3,1,6,5,7] => [1,1,2,2,2]
[8,4,2,3,6,5,1,7] => [1,1,3,1,2]
[6,4,5,2,1,8,3,7] => [1,2,1,2,2]
[6,4,5,2,8,1,7,3] => [1,2,2,2,1]
[4,8,6,2,3,1,7,5] => [2,1,2,2,1]
[4,6,2,3,1,8,7,5] => [2,2,2,1,1]
[6,4,2,8,5,3,7,1] => [1,1,2,1,2,1]
[6,4,2,1,8,5,3,7] => [1,1,1,2,1,2]
[4,2,6,1,5,8,3,7] => [1,2,3,2]
[6,4,5,2,8,7,1,3] => [1,2,2,1,2]
[4,2,3,6,5,8,1,7] => [1,3,2,2]
[6,4,2,3,5,8,7,1] => [1,1,4,1,1]
[6,4,2,3,5,8,1,7] => [1,1,4,2]
[6,4,2,3,1,8,5,7] => [1,1,2,2,2]
[6,4,2,3,1,5,8,7] => [1,1,2,3,1]
[8,6,2,1,4,3,7,5] => [1,1,1,2,2,1]
[2,8,6,4,5,1,7,3] => [2,1,2,2,1]
[8,6,2,1,4,7,3,5] => [1,1,1,3,2]
[6,4,2,1,8,3,7,5] => [1,1,1,2,2,1]
[6,4,8,2,5,7,3,1] => [1,2,3,1,1]
[8,2,4,6,7,1,5,3] => [1,4,2,1]
[8,6,7,2,1,4,5,3] => [1,2,1,3,1]
[2,8,6,1,4,3,7,5] => [2,1,2,2,1]
[2,8,6,4,3,7,5,1] => [2,1,1,2,1,1]
[2,6,3,1,7,4,8,5] => [2,1,2,2,1]
[4,3,2,6,1,8,7,5] => [1,1,2,2,1,1]
[6,5,1,8,3,2,7,4] => [1,1,2,1,2,1]
[3,6,1,2,5,8,7,4] => [2,4,1,1]
[8,1,7,5,4,6,3,2] => [1,2,1,2,1,1]
[4,1,7,3,8,6,5,2] => [1,2,2,1,1,1]
[1,4,3,7,2,8,6,5] => [2,2,2,1,1]
[1,8,7,4,5,3,2,6] => [2,1,2,1,2]
[2,8,3,1,4,5,7,6] => [2,1,4,1]
[6,1,7,2,8,4,5,3] => [1,2,2,2,1]
[6,5,1,3,8,7,2,4] => [1,1,3,1,2]
[3,2,6,7,8,4,5,1] => [1,4,2,1]
[1,7,4,6,3,8,2,5] => [2,2,2,2]
[5,6,4,1,3,8,2,7] => [2,1,3,2]
[7,2,6,3,5,8,1,4] => [1,2,3,2]
[4,5,3,1,8,7,6,2] => [2,1,2,1,1,1]
[6,3,4,2,7,8,5,1] => [1,2,3,1,1]
[8,7,4,5,1,6,3,2] => [1,1,2,2,1,1]
[6,2,7,8,1,3,5,4] => [1,3,3,1]
[4,3,2,8,6,1,7,5] => [1,1,2,1,2,1]
[5,1,8,4,3,7,2,6] => [1,2,1,2,2]
[7,2,8,1,3,4,6,5] => [1,2,4,1]
[1,4,8,3,5,6,7,2] => [3,4,1]
[7,2,8,1,4,5,6,3] => [1,2,4,1]
[2,1,8,3,4,5,7,6] => [1,2,4,1]
[1,4,8,2,5,6,7,3] => [3,4,1]
[8,1,6,7,2,5,4,3] => [1,3,2,1,1]
[7,5,2,3,6,8,4,1] => [1,1,4,1,1]
[2,5,8,3,6,1,4,7] => [3,2,3]
[8,1,4,6,5,3,2,7] => [1,3,1,1,2]
[8,1,5,2,3,4,7,6] => [1,2,4,1]
[8,1,4,7,6,5,2,3] => [1,3,1,1,2]
[8,1,3,2,6,4,5,7] => [1,2,2,3]
[8,1,3,7,5,2,4,6] => [1,3,1,3]
[8,1,3,6,7,5,2,4] => [1,4,1,2]
[8,1,2,7,6,5,4,3] => [1,3,1,1,1,1]
[7,2,3,6,8,5,1,4] => [1,4,1,2]
[7,5,3,2,6,4,1,8] => [1,1,1,2,1,2]
[4,5,8,1,6,7,2,3] => [3,3,2]
[3,5,8,2,6,4,7,1] => [3,2,2,1]
[3,2,8,6,1,5,7,4] => [1,2,1,3,1]
[3,4,7,2,1,5,6,8] => [3,1,4]
[3,7,2,5,8,4,6,1] => [2,3,2,1]
[6,7,8,4,1,5,2,3] => [3,1,2,2]
[6,2,8,3,5,1,4,7] => [1,2,2,3]
[6,2,7,4,5,3,1,8] => [1,2,2,1,2]
[6,8,2,5,3,4,1,7] => [2,2,2,2]
[6,8,7,5,4,1,2,3] => [2,1,1,1,3]
[7,4,5,6,1,8,2,3] => [1,3,2,2]
[7,3,4,6,5,1,2,8] => [1,3,1,3]
[7,2,4,5,6,1,8,3] => [1,4,2,1]
[6,3,5,2,8,1,7,4] => [1,2,2,2,1]
[2,7,3,5,8,1,4,6] => [2,3,3]
[7,8,6,1,2,5,4,3] => [2,1,3,1,1]
[6,1,8,7,4,5,2,3] => [1,2,1,2,2]
[6,1,8,7,3,4,2,5] => [1,2,1,2,2]
[4,5,3,7,8,2,1,6] => [2,3,1,2]
[4,1,7,6,3,5,2,8] => [1,2,1,2,2]
[4,1,6,7,2,5,8,3] => [1,3,3,1]
[4,7,8,1,6,2,5,3] => [3,2,2,1]
[4,8,7,1,6,3,2,5] => [2,1,2,1,2]
[4,8,2,7,5,3,6,1] => [2,2,1,2,1]
[3,2,8,7,6,4,5,1] => [1,2,1,1,2,1]
[3,1,2,7,5,6,4,8] => [1,3,2,2]
[1,3,2,6,8,7,4,5] => [2,3,1,2]
[1,3,8,2,5,4,6,7] => [3,2,3]
[1,6,2,5,8,7,3,4] => [2,3,1,2]
[1,6,8,7,2,3,5,4] => [3,1,3,1]
[1,6,8,7,2,5,3,4] => [3,1,2,2]
[1,5,2,4,8,3,6,7] => [2,3,3]
[1,2,4,5,8,6,3,7] => [5,1,2]
[1,2,8,3,5,4,7,6] => [3,2,2,1]
[1,3,8,2,5,4,7,6] => [3,2,2,1]
[1,6,7,5,2,4,8,3] => [3,1,3,1]
[1,5,6,4,7,2,3,8] => [3,2,3]
[1,7,4,2,5,8,3,6] => [2,1,3,2]
[1,6,4,3,7,5,2,8] => [2,1,2,1,2]
[1,6,5,4,7,2,3,8] => [2,1,2,3]
[1,7,3,2,6,4,8,5] => [2,1,2,2,1]
[1,5,8,2,3,6,7,4] => [3,4,1]
[1,3,2,6,8,5,4,7] => [2,3,1,2]
[1,6,3,2,7,4,5,8] => [2,1,2,3]
[1,7,8,5,4,2,3,6] => [3,1,1,3]
[1,8,4,2,3,6,5,7] => [2,1,3,2]
[1,4,2,7,5,3,8,6] => [2,2,1,2,1]
[1,5,7,6,2,4,3,8] => [3,1,2,2]
[1,8,4,7,3,2,6,5] => [2,2,1,2,1]
[1,3,8,4,2,6,5,7] => [3,1,2,2]
[1,7,4,2,6,5,8,3] => [2,1,2,2,1]
[1,6,5,8,3,7,4,2] => [2,2,2,1,1]
[1,7,4,8,3,2,5,6] => [2,2,1,3]
[1,4,8,3,2,7,5,6] => [3,1,2,2]
[1,8,3,6,4,5,2,7] => [2,2,2,2]
[1,6,4,7,3,2,8,5] => [2,2,1,2,1]
[8,2,3,7,4,5,6,1] => [1,3,3,1]
[8,5,7,2,3,6,4,1] => [1,2,3,1,1]
[3,1,5,6,8,4,2,7] => [1,4,1,2]
[7,5,2,1,6,8,3,4] => [1,1,1,3,2]
[1,3,6,8,4,2,5,7] => [4,1,3]
[7,6,1,5,4,8,2,3] => [1,1,2,2,2]
[7,6,3,2,1,8,4,5] => [1,1,1,1,2,2]
[2,8,7,3,4,6,1,5] => [2,1,3,2]
[6,5,1,3,7,2,8,4] => [1,1,3,2,1]
[8,1,7,3,4,5,2,6] => [1,2,3,2]
[7,1,8,3,4,5,2,6] => [1,2,3,2]
[7,4,8,2,5,3,1,6] => [1,2,2,1,2]
[7,2,1,4,8,5,3,6] => [1,1,3,1,2]
[6,8,7,3,4,2,1,5] => [2,1,2,1,2]
[3,8,7,1,2,4,5,6] => [2,1,5]
[1,8,5,3,4,6,2,7] => [2,1,3,2]
[5,8,4,3,1,6,2,7] => [2,1,1,2,2]
[7,1,6,5,4,3,8,2] => [1,2,1,1,2,1]
[7,1,3,6,4,5,8,2] => [1,3,3,1]
[7,1,5,3,6,4,8,2] => [1,2,2,2,1]
[6,1,5,3,7,8,2,4] => [1,2,3,2]
[5,8,7,1,2,6,3,4] => [2,1,3,2]
[6,8,2,3,4,7,1,5] => [2,4,2]
[5,1,7,3,8,6,2,4] => [1,2,2,1,2]
[6,1,3,2,4,7,8,5] => [1,2,4,1]
[6,2,1,3,4,7,8,5] => [1,1,5,1]
[3,2,5,8,7,4,1,6] => [1,3,1,1,2]
[4,2,5,8,7,3,1,6] => [1,3,1,1,2]
[8,3,4,1,6,5,2,7] => [1,2,2,1,2]
[3,4,8,5,7,2,1,6] => [3,2,1,2]
[3,6,4,8,5,7,2,1] => [2,2,2,1,1]
[5,8,4,7,3,6,2,1] => [2,2,2,1,1]
[4,2,8,7,3,1,6,5] => [1,2,1,1,2,1]
[6,5,8,2,1,7,4,3] => [1,2,1,2,1,1]
[6,1,4,3,8,7,2,5] => [1,2,2,1,2]
[5,1,3,2,6,8,7,4] => [1,2,3,1,1]
[6,1,3,8,7,2,4,5] => [1,3,1,3]
[1,2,8,4,5,7,3,6] => [3,3,2]
[4,2,1,8,7,6,3,5] => [1,1,2,1,1,2]
[3,2,5,8,7,1,4,6] => [1,3,1,3]
[5,6,3,8,7,2,1,4] => [2,2,1,1,2]
[2,5,8,4,7,1,6,3] => [3,2,2,1]
[1,6,2,4,8,5,7,3] => [2,3,2,1]
[3,1,6,5,8,7,2,4] => [1,2,2,1,2]
[4,8,5,3,6,7,1,2] => [2,1,3,2]
[1,8,5,3,4,7,6,2] => [2,1,3,1,1]
[7,5,2,1,4,3,6,8] => [1,1,1,2,3]
[3,1,7,6,4,2,5,8] => [1,2,1,1,3]
[2,3,7,5,6,1,4,8] => [3,2,3]
[5,1,4,7,6,3,2,8] => [1,3,1,1,2]
[6,1,7,3,4,5,2,8] => [1,2,3,2]
[5,7,6,2,4,1,3,8] => [2,1,2,3]
[2,7,1,3,6,4,5,8] => [2,3,3]
[8,1,7,3,5,4,6,2] => [1,2,2,2,1]
[2,8,7,3,5,6,4,1] => [2,1,3,1,1]
[3,2,7,4,1,8,6,5] => [1,2,1,2,1,1]
[1,8,6,3,2,5,4,7] => [2,1,1,2,2]
[3,2,4,8,5,7,1,6] => [1,3,2,2]
[7,2,5,4,8,1,3,6] => [1,2,2,3]
[5,1,8,3,2,7,6,4] => [1,2,1,2,1,1]
[6,8,5,2,3,7,1,4] => [2,1,3,2]
[8,1,2,4,7,5,6,3] => [1,4,2,1]
[1,3,4,8,6,7,2,5] => [4,2,2]
[8,3,1,4,6,7,5,2] => [1,1,4,1,1]
[6,4,5,8,3,1,7,2] => [1,3,1,2,1]
[2,7,8,5,6,4,1,3] => [3,2,1,2]
[8,6,2,1,5,7,3,4] => [1,1,1,3,2]
[4,6,2,8,5,3,7,1] => [2,2,1,2,1]
[5,6,2,4,8,3,1,7] => [2,3,1,2]
[8,7,2,4,1,5,3,6] => [1,1,2,2,2]
[1,6,8,7,3,5,2,4] => [3,1,2,2]
[7,1,3,5,4,8,6,2] => [1,3,2,1,1]
[2,7,3,4,5,8,6,1] => [2,4,1,1]
[4,1,5,2,8,6,3,7] => [1,2,2,1,2]
[7,5,3,4,8,6,2,1] => [1,1,3,1,1,1]
[8,4,3,1,7,2,5,6] => [1,1,1,2,3]
[2,8,3,1,4,6,7,5] => [2,1,4,1]
[6,8,3,4,2,5,7,1] => [2,2,3,1]
[4,2,8,3,5,1,6,7] => [1,2,2,3]
[5,6,1,2,4,3,7,8] => [2,3,3]
[8,3,2,7,5,4,1,6] => [1,1,2,1,1,2]
[3,1,2,6,5,4,7,8] => [1,3,1,3]
[4,3,6,5,1,2,7,8] => [1,2,1,4]
[8,2,3,7,5,4,6,1] => [1,3,1,2,1]
[2,8,3,7,6,4,1,5] => [2,2,1,1,2]
[2,8,3,7,6,4,5,1] => [2,2,1,2,1]
[8,1,3,7,5,4,6,2] => [1,3,1,2,1]
[8,1,3,7,5,4,2,6] => [1,3,1,1,2]
[1,8,3,7,6,4,2,5] => [2,2,1,1,2]
[5,8,3,7,6,4,2,1] => [2,2,1,1,1,1]
[1,3,8,7,6,5,2,4] => [3,1,1,1,2]
[2,8,1,7,6,4,5,3] => [2,2,1,2,1]
[8,2,1,7,5,4,6,3] => [1,1,2,1,2,1]
[8,1,2,7,5,4,6,3] => [1,3,1,2,1]
[3,8,2,7,6,4,5,1] => [2,2,1,2,1]
[4,8,7,2,6,3,1,5] => [2,1,2,1,2]
[1,8,7,2,6,3,5,4] => [2,1,2,2,1]
[8,7,2,1,4,3,5,6] => [1,1,1,2,3]
[5,8,7,2,6,3,1,4] => [2,1,2,1,2]
[2,8,7,1,6,3,4,5] => [2,1,2,3]
[4,2,8,7,6,5,1,3] => [1,2,1,1,1,2]
[5,8,7,1,6,3,4,2] => [2,1,2,2,1]
[5,8,7,1,6,3,2,4] => [2,1,2,1,2]
[1,4,8,7,6,5,2,3] => [3,1,1,1,2]
[8,4,2,7,6,5,3,1] => [1,1,2,1,1,1,1]
[6,8,7,5,2,4,3,1] => [2,1,1,2,1,1]
[7,6,3,1,4,5,2,8] => [1,1,1,3,2]
[7,2,3,6,4,5,1,8] => [1,3,2,2]
[7,2,1,4,6,5,3,8] => [1,1,3,1,2]
[7,3,6,2,4,5,1,8] => [1,2,3,2]
[7,2,6,1,4,5,3,8] => [1,2,3,2]
[6,8,7,2,4,5,1,3] => [2,1,3,2]
[1,2,5,7,4,8,6,3] => [4,2,1,1]
[6,2,1,8,7,5,3,4] => [1,1,2,1,1,2]
[6,3,8,7,4,5,2,1] => [1,2,1,2,1,1]
[4,2,1,5,3,8,6,7] => [1,1,2,2,2]
[4,6,5,3,2,8,1,7] => [2,1,1,2,2]
[2,8,3,4,1,5,6,7] => [2,2,4]
[2,7,3,5,4,8,6,1] => [2,2,2,1,1]
[2,6,4,3,5,8,1,7] => [2,1,3,2]
[4,2,1,7,6,5,8,3] => [1,1,2,1,2,1]
[4,5,7,3,6,1,8,2] => [3,2,2,1]
[1,3,7,5,4,8,6,2] => [3,1,2,1,1]
[3,8,7,5,4,1,6,2] => [2,1,1,1,2,1]
[4,5,6,3,1,8,2,7] => [3,1,2,2]
[1,4,6,3,5,8,2,7] => [3,3,2]
[4,7,5,3,6,2,8,1] => [2,1,2,2,1]
[5,4,1,3,2,6,8,7] => [1,1,2,3,1]
[5,2,1,4,3,6,8,7] => [1,1,2,3,1]
[6,2,4,3,1,8,5,7] => [1,2,1,2,2]
[1,5,6,3,8,4,2,7] => [3,2,1,2]
[5,4,6,3,8,1,2,7] => [1,2,2,3]
[5,8,6,3,1,4,2,7] => [2,1,1,2,2]
[5,8,7,1,4,3,6,2] => [2,1,2,2,1]
[2,6,5,3,8,4,1,7] => [2,1,2,1,2]
[5,7,3,8,4,2,6,1] => [2,2,1,2,1]
[5,6,8,3,2,4,1,7] => [3,1,2,2]
[5,3,6,2,8,4,1,7] => [1,2,2,1,2]
[3,2,6,5,4,8,1,7] => [1,2,1,2,2]
[2,6,5,4,8,3,1,7] => [2,1,2,1,2]
[2,3,6,5,4,8,1,7] => [3,1,2,2]
[3,7,5,4,8,2,6,1] => [2,1,2,2,1]
[5,3,7,1,2,8,4,6] => [1,2,3,2]
[1,2,7,6,4,8,3,5] => [3,1,2,2]
[6,3,8,7,1,2,5,4] => [1,2,1,3,1]
[2,8,7,6,1,3,5,4] => [2,1,1,3,1]
[6,3,8,7,1,4,5,2] => [1,2,1,3,1]
[2,7,5,4,8,1,6,3] => [2,1,2,2,1]
[7,6,4,8,2,5,3,1] => [1,1,2,2,1,1]
[6,3,8,7,2,5,4,1] => [1,2,1,2,1,1]
[2,8,7,6,1,5,3,4] => [2,1,1,2,2]
[7,6,4,8,1,3,2,5] => [1,1,2,2,2]
[6,3,8,7,1,4,2,5] => [1,2,1,2,2]
[6,3,8,7,1,2,4,5] => [1,2,1,4]
[4,8,1,6,7,5,2,3] => [2,3,1,2]
[6,8,4,1,7,5,2,3] => [2,1,2,1,2]
[8,1,4,6,7,5,2,3] => [1,4,1,2]
[2,6,8,1,7,4,5,3] => [3,2,2,1]
[2,6,8,1,4,7,5,3] => [3,3,1,1]
[6,4,8,1,2,7,5,3] => [1,2,3,1,1]
[8,4,1,6,7,2,5,3] => [1,1,3,2,1]
[8,1,4,6,7,2,5,3] => [1,4,2,1]
[8,2,1,6,7,4,5,3] => [1,1,3,2,1]
[8,2,6,1,7,4,5,3] => [1,2,2,2,1]
[6,2,8,1,4,7,5,3] => [1,2,3,1,1]
[4,2,8,1,6,7,5,3] => [1,2,3,1,1]
[2,4,8,1,6,7,5,3] => [3,3,1,1]
[4,2,8,6,1,7,5,3] => [1,2,1,2,1,1]
[8,2,6,4,1,7,5,3] => [1,2,1,2,1,1]
[8,1,2,6,4,7,5,3] => [1,3,2,1,1]
[8,4,1,6,2,7,5,3] => [1,1,2,2,1,1]
[4,8,6,1,2,7,5,3] => [2,1,3,1,1]
[4,8,1,2,6,7,5,3] => [2,4,1,1]
[4,8,2,1,6,7,5,3] => [2,1,3,1,1]
[6,8,2,1,4,7,5,3] => [2,1,3,1,1]
[8,6,2,1,7,4,5,3] => [1,1,1,2,2,1]
[8,1,6,2,4,7,5,3] => [1,2,3,1,1]
[8,6,1,2,4,7,5,3] => [1,1,4,1,1]
[6,8,2,4,1,7,5,3] => [2,2,2,1,1]
[4,8,2,6,1,7,5,3] => [2,2,2,1,1]
[6,4,2,8,1,7,5,3] => [1,1,2,2,1,1]
[8,4,2,6,1,7,5,3] => [1,1,2,2,1,1]
[8,2,1,4,6,7,5,3] => [1,1,4,1,1]
[8,2,4,6,1,7,5,3] => [1,3,2,1,1]
[5,4,7,6,3,1,2,8] => [1,2,1,1,3]
[3,6,4,8,1,5,2,7] => [2,2,2,2]
[3,6,8,4,1,5,2,7] => [3,1,2,2]
[8,7,1,4,2,3,5,6] => [1,1,2,4]
[3,8,6,4,1,5,2,7] => [2,1,1,2,2]
[8,2,6,5,7,1,3,4] => [1,2,2,3]
[4,6,1,3,2,8,7,5] => [2,2,2,1,1]
[5,4,6,7,1,3,8,2] => [1,3,3,1]
[7,1,4,8,2,3,6,5] => [1,3,3,1]
[3,6,5,4,7,1,8,2] => [2,1,2,2,1]
[4,5,3,6,7,1,8,2] => [2,3,2,1]
[1,4,7,8,3,5,2,6] => [4,2,2]
[4,6,1,3,5,2,8,7] => [2,3,2,1]
[1,7,6,3,5,8,4,2] => [2,1,3,1,1]
[2,5,1,4,8,3,7,6] => [2,3,2,1]
[7,6,2,1,4,5,3,8] => [1,1,1,3,2]
[4,1,2,8,7,6,3,5] => [1,3,1,1,2]
[5,1,4,3,8,6,7,2] => [1,2,2,2,1]
[3,5,1,6,4,8,7,2] => [2,2,2,1,1]
[2,6,3,5,1,7,4,8] => [2,2,2,2]
[6,1,2,5,4,8,7,3] => [1,3,2,1,1]
[8,4,1,7,3,5,6,2] => [1,1,2,3,1]
[8,4,1,2,5,7,3,6] => [1,1,4,2]
[1,6,2,8,5,4,7,3] => [2,2,1,2,1]
[6,1,5,3,2,7,4,8] => [1,2,1,2,2]
[6,4,7,2,1,8,5,3] => [1,2,1,2,1,1]
[5,8,4,6,3,1,7,2] => [2,2,1,2,1]
[2,4,5,6,8,3,1,7] => [5,1,2]
[3,8,4,2,1,6,5,7] => [2,1,1,2,2]
[3,4,7,1,2,6,8,5] => [3,4,1]
[4,1,8,6,5,2,3,7] => [1,2,1,1,3]
[3,4,5,8,6,2,1,7] => [4,1,1,2]
[8,6,3,5,4,7,1,2] => [1,1,2,2,2]
[2,5,3,7,1,8,6,4] => [2,2,2,1,1]
[4,8,6,2,5,1,7,3] => [2,1,2,2,1]
[4,5,1,8,6,3,7,2] => [2,2,1,2,1]
[1,7,2,4,5,3,8,6] => [2,3,2,1]
[8,5,3,4,6,1,7,2] => [1,1,3,2,1]
[4,5,3,7,1,8,6,2] => [2,2,2,1,1]
[1,4,6,2,5,3,8,7] => [3,2,2,1]
[6,2,8,7,1,3,5,4] => [1,2,1,3,1]
[4,5,3,6,1,8,7,2] => [2,2,2,1,1]
[8,3,7,2,1,6,5,4] => [1,2,1,2,1,1]
[8,4,7,6,2,5,1,3] => [1,2,1,2,2]
[8,4,7,3,6,2,1,5] => [1,2,2,1,2]
[3,8,7,5,6,4,1,2] => [2,1,2,1,2]
[3,8,7,5,6,2,1,4] => [2,1,2,1,2]
[3,8,7,5,6,2,4,1] => [2,1,2,2,1]
[2,8,7,5,6,4,1,3] => [2,1,2,1,2]
[1,5,6,3,8,2,7,4] => [3,2,2,1]
[2,6,3,8,4,7,1,5] => [2,2,2,2]
[2,6,3,5,7,8,1,4] => [2,4,2]
[1,5,6,3,7,2,8,4] => [3,2,2,1]
[1,7,5,3,6,2,8,4] => [2,1,2,2,1]
[1,5,7,3,4,2,8,6] => [3,2,2,1]
[1,5,8,3,4,2,7,6] => [3,2,2,1]
[1,4,5,3,7,2,8,6] => [3,2,2,1]
[1,4,5,3,8,2,7,6] => [3,2,2,1]
[6,5,1,4,2,7,8,3] => [1,1,2,3,1]
[6,5,1,4,2,8,7,3] => [1,1,2,2,1,1]
[1,7,5,4,2,8,6,3] => [2,1,1,2,1,1]
[4,1,2,7,5,3,6,8] => [1,3,1,3]
[5,1,6,8,3,7,2,4] => [1,3,2,2]
[6,1,3,7,2,4,5,8] => [1,3,4]
[4,1,5,6,8,3,2,7] => [1,4,1,2]
[3,8,5,2,1,4,7,6] => [2,1,1,3,1]
[3,4,8,2,1,6,7,5] => [3,1,3,1]
[3,5,4,8,2,6,7,1] => [2,2,3,1]
[5,4,7,1,8,6,3,2] => [1,2,2,1,1,1]
[3,1,5,6,8,4,7,2] => [1,4,2,1]
[3,6,1,8,2,5,4,7] => [2,2,2,2]
[5,8,3,2,1,7,4,6] => [2,1,1,2,2]
[1,4,8,2,6,5,3,7] => [3,2,1,2]
[8,5,1,3,6,2,4,7] => [1,1,3,3]
[3,8,1,2,6,5,4,7] => [2,3,1,2]
[1,2,8,5,6,4,3,7] => [3,2,1,2]
[7,5,1,8,3,4,2,6] => [1,1,2,2,2]
[5,2,8,1,7,4,3,6] => [1,2,2,1,2]
[5,4,7,1,2,3,8,6] => [1,2,4,1]
[1,4,8,2,6,7,3,5] => [3,3,2]
[1,2,5,6,8,7,3,4] => [5,1,2]
[1,5,6,8,2,7,4,3] => [4,2,1,1]
[3,6,1,8,2,7,4,5] => [2,2,2,2]
[2,6,7,3,4,1,8,5] => [3,2,2,1]
[1,6,5,7,8,2,4,3] => [2,3,2,1]
[1,5,6,7,2,8,4,3] => [4,2,1,1]
[3,6,1,2,8,7,5,4] => [2,3,1,1,1]
[3,7,6,1,8,2,4,5] => [2,1,2,3]
[1,3,7,2,6,4,8,5] => [3,2,2,1]
[1,4,7,2,6,3,8,5] => [3,2,2,1]
[2,6,8,1,4,7,3,5] => [3,3,2]
[1,4,6,8,3,7,2,5] => [4,2,2]
[1,5,8,6,7,3,4,2] => [3,2,2,1]
[1,6,5,8,7,2,4,3] => [2,2,1,2,1]
[1,5,7,6,2,8,3,4] => [3,1,2,2]
[1,2,5,8,6,7,4,3] => [4,2,1,1]
[1,2,6,5,7,3,8,4] => [3,2,2,1]
[1,7,5,8,6,4,2,3] => [2,2,1,1,2]
[7,3,8,6,4,2,1,5] => [1,2,1,1,1,2]
[2,7,6,3,4,8,1,5] => [2,1,3,2]
[3,6,5,8,1,2,7,4] => [2,2,3,1]
[5,4,7,8,1,6,3,2] => [1,3,2,1,1]
[2,5,6,8,1,3,7,4] => [4,3,1]
[5,3,6,8,1,2,7,4] => [1,3,3,1]
[4,6,5,8,3,2,7,1] => [2,2,1,2,1]
[4,5,6,8,2,3,7,1] => [4,3,1]
[2,5,8,7,1,6,4,3] => [3,1,2,1,1]
[4,7,5,8,3,6,2,1] => [2,2,2,1,1]
[7,3,6,8,5,2,1,4] => [1,3,1,1,2]
[8,3,6,7,5,2,4,1] => [1,3,1,2,1]
[8,4,5,7,3,6,2,1] => [1,3,2,1,1]
[2,4,7,8,5,6,3,1] => [4,2,1,1]
[3,6,8,7,5,2,4,1] => [3,1,1,2,1]
[6,4,7,8,5,1,3,2] => [1,3,1,2,1]
[7,8,4,6,5,3,1,2] => [2,2,1,1,2]
[6,8,4,7,5,1,3,2] => [2,2,1,2,1]
[2,7,5,4,3,1,6,8] => [2,1,1,1,3]
[1,2,6,4,3,8,7,5] => [3,1,2,1,1]
[6,5,8,3,1,4,2,7] => [1,2,1,2,2]
[7,6,3,5,4,1,2,8] => [1,1,2,1,3]
[2,7,4,6,1,5,3,8] => [2,2,2,2]
[2,7,3,1,6,5,4,8] => [2,1,2,1,2]
[7,6,1,2,3,5,4,8] => [1,1,4,2]
[1,8,5,7,2,3,6,4] => [2,2,3,1]
[2,3,6,8,1,7,5,4] => [4,2,1,1]
[6,1,3,8,4,2,5,7] => [1,3,1,3]
[2,8,7,5,1,6,3,4] => [2,1,1,2,2]
[5,8,1,7,2,3,4,6] => [2,2,4]
[8,7,6,4,2,1,5,3] => [1,1,1,1,1,2,1]
[5,8,7,2,3,1,6,4] => [2,1,2,2,1]
[3,5,8,1,4,7,2,6] => [3,3,2]
[8,5,3,7,4,6,1,2] => [1,1,2,2,2]
[3,8,7,5,2,6,4,1] => [2,1,1,2,1,1]
[4,6,3,1,8,7,2,5] => [2,1,2,1,2]
[8,3,6,7,1,5,2,4] => [1,3,2,2]
[3,8,7,5,1,2,6,4] => [2,1,1,3,1]
[8,1,3,5,6,2,4,7] => [1,4,3]
[5,8,3,7,1,4,6,2] => [2,2,3,1]
[3,8,7,4,2,6,5,1] => [2,1,1,2,1,1]
[5,8,3,2,4,7,6,1] => [2,1,3,1,1]
[8,4,5,3,7,6,1,2] => [1,2,2,1,2]
[5,8,2,1,3,4,7,6] => [2,1,4,1]
[2,5,1,4,3,6,7,8] => [2,2,4]
[5,3,8,2,4,6,1,7] => [1,2,3,2]
[4,5,8,3,2,6,1,7] => [3,1,2,2]
[1,5,3,7,2,8,6,4] => [2,2,2,1,1]
[3,4,7,1,2,8,6,5] => [3,3,1,1]
[5,8,2,1,4,6,3,7] => [2,1,3,2]
[4,1,5,8,3,6,2,7] => [1,3,2,2]
[4,5,8,3,6,1,2,7] => [3,2,3]
[6,1,7,8,3,5,2,4] => [1,3,2,2]
[5,2,7,8,1,3,6,4] => [1,3,3,1]
[2,6,7,8,3,1,5,4] => [4,1,2,1]
[3,2,7,1,8,5,4,6] => [1,2,2,1,2]
[4,7,8,5,2,3,1,6] => [3,1,2,2]
[6,2,7,8,1,5,3,4] => [1,3,2,2]
[2,7,1,3,8,5,4,6] => [2,3,1,2]
[2,6,7,8,4,1,3,5] => [4,1,3]
[2,6,7,8,4,3,1,5] => [4,1,1,2]
[7,1,2,6,3,8,4,5] => [1,3,2,2]
[8,1,2,6,5,3,7,4] => [1,3,1,2,1]
[8,1,4,6,7,2,3,5] => [1,4,3]
[8,3,5,6,1,2,7,4] => [1,3,3,1]
[8,5,1,7,2,6,3,4] => [1,1,2,2,2]
[8,5,4,6,1,2,7,3] => [1,1,2,3,1]
[7,3,8,1,2,5,4,6] => [1,2,3,2]
[7,4,1,8,2,5,3,6] => [1,1,2,2,2]
[6,4,1,7,2,8,3,5] => [1,1,2,2,2]
[6,8,1,2,3,5,7,4] => [2,5,1]
[7,3,4,1,2,8,6,5] => [1,2,3,1,1]
[7,3,8,1,2,5,6,4] => [1,2,4,1]
[7,2,1,8,3,6,4,5] => [1,1,2,2,2]
[7,2,4,5,1,3,8,6] => [1,3,3,1]
[7,1,8,3,2,4,5,6] => [1,2,1,4]
[8,1,5,6,3,2,7,4] => [1,3,1,2,1]
[8,1,2,5,7,6,3,4] => [1,4,1,2]
[6,8,7,3,1,2,4,5] => [2,1,1,4]
[7,4,8,3,1,2,6,5] => [1,2,1,3,1]
[8,4,5,3,1,6,7,2] => [1,2,1,3,1]
[8,2,3,1,6,7,4,5] => [1,2,3,2]
[8,2,1,7,4,3,5,6] => [1,1,2,1,3]
[7,2,6,8,4,1,3,5] => [1,3,1,3]
[7,2,5,1,6,8,3,4] => [1,2,3,2]
[8,1,7,3,4,2,5,6] => [1,2,2,3]
[6,1,8,3,2,7,4,5] => [1,2,1,2,2]
[7,5,1,6,4,8,2,3] => [1,1,2,2,2]
[7,2,3,1,8,5,4,6] => [1,2,2,1,2]
[6,2,1,7,4,8,3,5] => [1,1,2,2,2]
[1,4,2,5,7,6,8,3] => [2,3,2,1]
[1,3,4,6,8,5,2,7] => [5,1,2]
[1,4,6,8,5,2,7,3] => [4,1,2,1]
[1,3,4,6,8,5,7,2] => [5,2,1]
[1,4,5,7,2,8,6,3] => [4,2,1,1]
[1,7,4,3,2,5,6,8] => [2,1,1,4]
[1,7,4,3,6,2,5,8] => [2,1,2,3]
[3,7,5,8,2,4,6,1] => [2,2,3,1]
[5,2,1,6,3,4,8,7] => [1,1,2,3,1]
[5,1,3,4,6,2,8,7] => [1,4,2,1]
[3,8,4,5,7,2,6,1] => [2,3,2,1]
[3,8,4,7,5,6,2,1] => [2,2,2,1,1]
[4,2,8,6,3,7,5,1] => [1,2,1,2,1,1]
[4,1,7,6,3,8,5,2] => [1,2,1,2,1,1]
[7,4,1,8,5,3,6,2] => [1,1,2,1,2,1]
[3,5,6,8,4,7,1,2] => [4,2,2]
[5,4,1,8,6,7,2,3] => [1,1,2,2,2]
[6,2,8,4,5,3,7,1] => [1,2,2,2,1]
[4,5,2,1,8,7,3,6] => [2,1,2,1,2]
[4,7,3,8,2,6,5,1] => [2,2,2,1,1]
[4,7,3,1,8,6,2,5] => [2,1,2,1,2]
[6,2,1,3,7,4,8,5] => [1,1,3,2,1]
[6,3,7,1,2,5,8,4] => [1,2,4,1]
[5,1,4,7,8,2,6,3] => [1,4,2,1]
[7,2,5,8,1,3,6,4] => [1,3,3,1]
[8,3,6,7,2,4,5,1] => [1,3,3,1]
[3,8,7,5,2,1,6,4] => [2,1,1,1,2,1]
[3,8,5,6,2,7,4,1] => [2,2,2,1,1]
[3,6,5,8,4,2,7,1] => [2,2,1,2,1]
[6,8,3,2,5,7,4,1] => [2,1,3,1,1]
[4,1,5,6,8,7,3,2] => [1,4,1,1,1]
[8,4,2,3,6,7,5,1] => [1,1,4,1,1]
[6,1,2,4,5,7,8,3] => [1,6,1]
[4,5,1,3,7,6,8,2] => [2,3,2,1]
[3,5,4,8,6,2,7,1] => [2,2,1,2,1]
[3,6,2,4,5,8,7,1] => [2,4,1,1]
[8,1,3,7,4,5,6,2] => [1,3,3,1]
[5,1,2,8,7,4,6,3] => [1,3,1,2,1]
[7,1,3,4,8,5,6,2] => [1,4,2,1]
[4,1,7,5,3,8,6,2] => [1,2,1,2,1,1]
[5,1,2,8,6,7,4,3] => [1,3,2,1,1]
[3,8,7,4,2,5,6,1] => [2,1,1,3,1]
[7,6,3,5,1,8,4,2] => [1,1,2,2,1,1]
[8,1,5,3,4,6,7,2] => [1,2,4,1]
[8,1,5,3,6,4,7,2] => [1,2,2,2,1]
[4,5,1,3,7,8,6,2] => [2,4,1,1]
[2,6,4,8,3,1,5,7] => [2,2,1,3]
[7,2,3,8,1,4,5,6] => [1,3,4]
[7,2,3,8,1,4,6,5] => [1,3,3,1]
[7,6,5,2,3,8,4,1] => [1,1,1,3,1,1]
[2,6,4,1,5,8,7,3] => [2,1,3,1,1]
[3,5,1,4,6,2,7,8] => [2,3,3]
[7,6,5,2,4,3,8,1] => [1,1,1,2,2,1]
[7,6,5,2,4,3,1,8] => [1,1,1,2,1,2]
[7,2,3,5,1,4,8,6] => [1,3,3,1]
[3,6,4,5,2,8,1,7] => [2,2,2,2]
[7,5,1,8,3,6,2,4] => [1,1,2,2,2]
[8,1,5,6,3,7,2,4] => [1,3,2,2]
[8,1,5,6,3,7,4,2] => [1,3,2,1,1]
[3,6,4,5,2,7,8,1] => [2,2,3,1]
[7,2,3,5,1,4,6,8] => [1,3,4]
[8,1,5,4,7,3,6,2] => [1,2,2,2,1]
[3,5,1,4,6,8,7,2] => [2,4,1,1]
[7,6,5,4,1,3,8,2] => [1,1,1,1,3,1]
[7,6,5,3,4,1,8,2] => [1,1,1,2,2,1]
[7,6,5,2,8,3,1,4] => [1,1,1,2,1,2]
[7,6,5,4,1,8,2,3] => [1,1,1,1,2,2]
[3,6,4,1,5,7,2,8] => [2,1,3,2]
[2,5,1,4,6,7,8,3] => [2,5,1]
[8,1,5,4,7,6,3,2] => [1,2,2,1,1,1]
[2,5,1,4,6,7,3,8] => [2,4,2]
[3,6,4,1,5,7,8,2] => [2,1,4,1]
[7,6,5,2,8,4,1,3] => [1,1,1,2,1,2]
[1,4,3,7,5,2,8,6] => [2,2,1,2,1]
[3,1,6,5,2,8,7,4] => [1,2,1,2,1,1]
[6,2,7,4,3,1,8,5] => [1,2,1,1,2,1]
[1,7,2,4,3,5,8,6] => [2,2,3,1]
[2,7,3,4,5,1,8,6] => [2,3,2,1]
[3,8,1,7,4,2,6,5] => [2,2,1,2,1]
[8,1,7,4,3,5,6,2] => [1,2,1,3,1]
[6,8,2,4,5,3,7,1] => [2,3,2,1]
[4,8,5,3,6,1,7,2] => [2,1,2,2,1]
[2,8,3,1,4,7,5,6] => [2,1,3,2]
[6,4,3,1,8,7,2,5] => [1,1,1,2,1,2]
[5,7,3,8,6,4,2,1] => [2,2,1,1,1,1]
[8,6,3,2,7,4,1,5] => [1,1,1,2,1,2]
[1,4,2,3,8,6,7,5] => [2,3,2,1]
[2,7,3,1,8,4,5,6] => [2,1,2,3]
[6,3,1,8,2,5,7,4] => [1,1,2,3,1]
[3,6,1,8,4,5,7,2] => [2,2,3,1]
[2,4,8,7,3,6,1,5] => [3,1,2,2]
[1,6,8,4,5,3,7,2] => [3,2,2,1]
[1,2,8,3,5,6,4,7] => [3,3,2]
[3,5,7,4,8,1,6,2] => [3,2,2,1]
[4,2,8,3,1,5,7,6] => [1,2,1,3,1]
[2,8,1,3,5,4,6,7] => [2,3,3]
[1,5,2,8,6,4,3,7] => [2,2,1,1,2]
[7,4,8,6,3,1,2,5] => [1,2,1,1,3]
[3,6,8,4,1,2,5,7] => [3,1,4]
[4,7,8,5,2,1,3,6] => [3,1,1,3]
[6,1,5,2,8,7,3,4] => [1,2,2,1,2]
[8,1,3,5,7,4,2,6] => [1,4,1,2]
[3,1,8,5,4,7,2,6] => [1,2,1,2,2]
[3,1,6,4,8,5,2,7] => [1,2,2,1,2]
[5,1,3,4,2,6,8,7] => [1,3,3,1]
[3,2,6,4,1,5,7,8] => [1,2,1,4]
[5,4,2,1,8,3,6,7] => [1,1,1,2,3]
[4,2,5,1,8,7,3,6] => [1,2,2,1,2]
[6,8,2,7,1,4,3,5] => [2,2,2,2]
[1,8,4,7,3,2,5,6] => [2,2,1,3]
[8,6,3,1,5,7,2,4] => [1,1,1,3,2]
[5,8,3,1,4,7,6,2] => [2,1,3,1,1]
[1,2,5,4,7,8,3,6] => [3,3,2]
[1,8,3,2,6,4,7,5] => [2,1,2,2,1]
[4,7,1,2,5,3,6,8] => [2,3,3]
[6,8,4,1,3,7,2,5] => [2,1,3,2]
[3,2,6,1,7,8,5,4] => [1,2,3,1,1]
[7,6,4,1,8,3,5,2] => [1,1,1,2,2,1]
[5,4,1,6,7,3,2,8] => [1,1,3,1,2]
[7,4,1,6,5,8,2,3] => [1,1,2,2,2]
[8,5,4,1,6,7,3,2] => [1,1,1,3,1,1]
[6,5,7,3,2,8,4,1] => [1,2,1,2,1,1]
[6,4,1,2,7,5,3,8] => [1,1,3,1,2]
[7,4,3,5,2,8,6,1] => [1,1,2,2,1,1]
[5,2,8,3,6,4,7,1] => [1,2,2,2,1]
[5,4,6,1,2,7,3,8] => [1,2,3,2]
[8,5,4,6,2,1,7,3] => [1,1,2,1,2,1]
[8,5,1,7,2,3,6,4] => [1,1,2,3,1]
[5,2,6,4,8,1,3,7] => [1,2,2,3]
[5,2,1,6,4,7,8,3] => [1,1,2,3,1]
[1,6,2,3,5,7,8,4] => [2,5,1]
[7,2,5,1,3,4,8,6] => [1,2,4,1]
[1,3,4,8,5,2,6,7] => [4,1,3]
[8,2,4,6,1,7,3,5] => [1,3,2,2]
[6,2,7,5,1,3,4,8] => [1,2,1,4]
[6,5,7,1,2,3,8,4] => [1,2,4,1]
[3,2,7,4,1,5,6,8] => [1,2,1,4]
[4,7,2,1,5,6,8,3] => [2,1,4,1]
[7,2,3,5,8,6,1,4] => [1,4,1,2]
[5,8,2,3,6,7,1,4] => [2,4,2]
[1,5,7,2,3,6,8,4] => [3,4,1]
[8,4,1,7,2,5,3,6] => [1,1,2,2,2]
[4,2,7,1,5,3,6,8] => [1,2,2,3]
[7,3,1,4,2,5,8,6] => [1,1,2,3,1]
[3,2,5,7,8,4,1,6] => [1,4,1,2]
[3,4,7,8,2,5,1,6] => [4,2,2]
[4,2,5,3,7,8,1,6] => [1,2,3,2]
[4,3,5,1,6,2,7,8] => [1,2,2,3]
[8,6,3,5,4,1,2,7] => [1,1,2,1,3]
[8,3,2,6,1,5,4,7] => [1,1,2,2,2]
[8,5,1,7,4,6,2,3] => [1,1,2,2,2]
[4,8,1,7,6,3,5,2] => [2,2,1,2,1]
[8,5,1,7,4,3,6,2] => [1,1,2,1,2,1]
[8,5,7,6,2,1,3,4] => [1,2,1,1,3]
[5,4,8,3,1,7,2,6] => [1,2,1,2,2]
[5,1,4,8,3,2,7,6] => [1,3,1,2,1]
[4,8,1,7,6,5,2,3] => [2,2,1,1,2]
[4,3,8,7,2,6,1,5] => [1,2,1,2,2]
[3,8,7,2,6,4,1,5] => [2,1,2,1,2]
[8,2,5,7,4,3,6,1] => [1,3,1,2,1]
[3,8,7,4,6,1,2,5] => [2,1,2,3]
[8,7,6,3,5,4,1,2] => [1,1,1,2,1,2]
[2,8,4,7,6,1,5,3] => [2,2,1,2,1]
[2,5,4,8,3,1,7,6] => [2,2,1,2,1]
[5,4,8,2,1,3,7,6] => [1,2,1,3,1]
[3,8,7,2,6,1,5,4] => [2,1,2,2,1]
[1,8,4,7,6,3,5,2] => [2,2,1,2,1]
[1,8,3,7,6,5,2,4] => [2,2,1,1,2]
[1,4,3,8,7,2,6,5] => [2,2,1,2,1]
[7,1,5,4,6,2,3,8] => [1,2,2,3]
[7,8,1,5,2,3,6,4] => [2,2,3,1]
[7,4,1,3,6,2,5,8] => [1,1,3,3]
[5,6,1,8,4,2,7,3] => [2,2,1,2,1]
[7,8,6,4,1,5,3,2] => [2,1,1,2,1,1]
[5,4,3,1,7,6,2,8] => [1,1,1,2,1,2]
[3,1,6,5,7,4,2,8] => [1,2,2,1,2]
[4,1,3,7,5,6,2,8] => [1,3,2,2]
[5,6,1,7,4,2,3,8] => [2,2,1,3]
[4,2,7,8,5,1,6,3] => [1,3,1,2,1]
[7,3,8,6,4,5,2,1] => [1,2,1,2,1,1]
[3,8,6,1,7,4,2,5] => [2,1,2,1,2]
[2,6,8,3,1,7,4,5] => [3,1,2,2]
[2,5,4,8,1,7,3,6] => [2,2,2,2]
[7,5,2,4,8,3,6,1] => [1,1,3,2,1]
[7,6,2,8,4,3,5,1] => [1,1,2,1,2,1]
[6,8,1,2,5,7,3,4] => [2,4,2]
[7,8,2,6,3,5,4,1] => [2,2,2,1,1]
[3,8,6,4,7,5,2,1] => [2,1,2,1,1,1]
[7,2,6,5,8,3,4,1] => [1,2,2,2,1]
[5,6,3,1,4,2,7,8] => [2,1,2,3]
[2,6,5,3,4,8,7,1] => [2,1,3,1,1]
[3,1,5,4,2,6,7,8] => [1,2,1,4]
[2,6,1,5,3,4,7,8] => [2,2,4]
[5,2,3,6,7,4,1,8] => [1,4,1,2]
[3,6,2,7,4,5,1,8] => [2,2,2,2]
[2,3,7,1,6,4,5,8] => [3,2,3]
[3,4,7,8,5,1,6,2] => [4,1,2,1]
[3,6,2,4,7,8,5,1] => [2,4,1,1]
[5,2,3,6,4,8,7,1] => [1,3,2,1,1]
[8,7,5,4,2,6,3,1] => [1,1,1,1,2,1,1]
[3,7,6,2,5,4,8,1] => [2,1,2,2,1]
[5,3,6,4,8,7,2,1] => [1,2,2,1,1,1]
[1,5,4,8,6,2,7,3] => [2,2,1,2,1]
[4,5,2,7,6,3,8,1] => [2,2,1,2,1]
[7,5,1,2,6,4,8,3] => [1,1,3,2,1]
[5,3,8,1,2,7,6,4] => [1,2,3,1,1]
[2,1,8,6,5,3,7,4] => [1,2,1,1,2,1]
[5,8,3,1,2,7,6,4] => [2,1,3,1,1]
[7,6,2,5,3,8,4,1] => [1,1,2,2,1,1]
[7,3,4,6,5,8,2,1] => [1,3,2,1,1]
[6,5,2,4,7,3,8,1] => [1,1,3,2,1]
[6,1,5,7,4,8,2,3] => [1,3,2,2]
[8,1,4,3,7,5,2,6] => [1,2,2,1,2]
[8,4,5,7,2,1,3,6] => [1,3,1,3]
[8,4,6,1,3,7,2,5] => [1,2,3,2]
[7,4,6,1,5,8,2,3] => [1,2,3,2]
[4,8,5,1,2,3,6,7] => [2,1,5]
[8,6,2,4,5,1,3,7] => [1,1,3,3]
[4,5,1,3,8,6,2,7] => [2,3,1,2]
[8,5,1,3,4,7,2,6] => [1,1,4,2]
[4,2,7,1,3,6,8,5] => [1,2,4,1]
[8,3,6,5,2,7,4,1] => [1,2,1,2,1,1]
[8,4,5,6,2,7,3,1] => [1,3,2,1,1]
[5,8,3,6,4,7,2,1] => [2,2,2,1,1]
[1,5,8,4,6,2,7,3] => [3,2,2,1]
[1,7,5,6,2,8,4,3] => [2,2,2,1,1]
[7,3,6,5,8,4,2,1] => [1,2,2,1,1,1]
[5,4,6,8,3,2,7,1] => [1,3,1,2,1]
[7,4,2,3,6,8,5,1] => [1,1,4,1,1]
[2,7,3,8,5,4,6,1] => [2,2,1,2,1]
[2,1,6,7,4,8,3,5] => [1,3,2,2]
[7,4,8,5,1,2,6,3] => [1,2,1,3,1]
[6,4,5,7,2,8,3,1] => [1,3,2,1,1]
[1,5,6,4,7,2,8,3] => [3,2,2,1]
[7,8,1,3,6,4,5,2] => [2,3,2,1]
[7,2,6,8,4,5,3,1] => [1,3,2,1,1]
[7,3,6,8,5,1,4,2] => [1,3,1,2,1]
[7,5,8,1,6,2,4,3] => [1,2,2,2,1]
[7,5,2,4,8,3,1,6] => [1,1,3,1,2]
[7,8,3,1,6,2,5,4] => [2,1,2,2,1]
[6,7,8,4,3,1,5,2] => [3,1,1,2,1]
[7,3,8,1,6,4,5,2] => [1,2,2,2,1]
[1,7,5,8,2,4,6,3] => [2,2,3,1]
[7,5,2,8,1,4,6,3] => [1,1,2,3,1]
[3,7,8,2,1,6,4,5] => [3,1,2,2]
[7,8,1,6,3,5,4,2] => [2,2,2,1,1]
[6,7,8,2,5,4,3,1] => [3,2,1,1,1]
[6,7,8,3,1,5,4,2] => [3,1,2,1,1]
[7,8,1,6,2,5,4,3] => [2,2,2,1,1]
[4,1,8,3,7,6,5,2] => [1,2,2,1,1,1]
[5,1,6,8,3,4,7,2] => [1,3,3,1]
[7,1,6,8,5,4,3,2] => [1,3,1,1,1,1]
[8,7,1,6,5,4,2,3] => [1,1,2,1,1,2]
[4,7,6,2,5,3,1,8] => [2,1,2,1,2]
[7,8,1,6,5,4,2,3] => [2,2,1,1,2]
[3,5,2,8,4,1,7,6] => [2,2,1,2,1]
[3,6,2,8,5,4,1,7] => [2,2,1,1,2]
[8,4,6,3,5,2,1,7] => [1,2,2,1,2]
[4,6,8,2,5,3,1,7] => [3,2,1,2]
[4,5,8,2,3,6,1,7] => [3,3,2]
[7,6,8,1,5,3,2,4] => [1,2,2,1,2]
[8,6,7,4,1,3,2,5] => [1,2,1,2,2]
[6,8,7,4,1,2,3,5] => [2,1,1,4]
[5,6,8,1,2,3,7,4] => [3,4,1]
[5,6,1,8,2,4,7,3] => [2,2,3,1]
[8,5,7,1,3,6,2,4] => [1,2,3,2]
[4,8,1,2,7,6,5,3] => [2,3,1,1,1]
[4,6,1,2,8,5,7,3] => [2,3,2,1]
[3,6,2,1,8,5,7,4] => [2,1,2,2,1]
[3,7,2,1,8,6,5,4] => [2,1,2,1,1,1]
[5,4,7,3,2,6,1,8] => [1,2,1,2,2]
[6,4,7,3,5,2,1,8] => [1,2,2,1,2]
[3,8,2,7,5,1,4,6] => [2,2,1,3]
[3,6,2,8,1,4,7,5] => [2,2,3,1]
[4,7,8,2,1,6,3,5] => [3,1,2,2]
[5,7,8,4,2,1,3,6] => [3,1,1,3]
[7,5,8,4,3,1,2,6] => [1,2,1,1,3]
[6,4,8,3,1,2,7,5] => [1,2,1,3,1]
[6,4,8,3,5,2,1,7] => [1,2,2,1,2]
[3,1,6,2,5,7,8,4] => [1,2,4,1]
[3,1,6,5,7,8,2,4] => [1,2,3,2]
[2,1,6,3,5,7,4,8] => [1,2,3,2]
[1,6,4,5,2,7,3,8] => [2,2,2,2]
[1,6,5,2,7,3,4,8] => [2,1,2,3]
[1,4,7,3,2,5,6,8] => [3,1,4]
[2,1,6,5,7,3,4,8] => [1,2,2,3]
[2,1,6,7,4,3,5,8] => [1,3,1,3]
[2,7,4,3,5,1,6,8] => [2,1,2,3]
[7,1,4,3,5,2,6,8] => [1,2,2,3]
[3,1,6,7,4,2,5,8] => [1,3,1,3]
[6,1,7,2,4,3,5,8] => [1,2,2,3]
[1,3,7,4,5,2,6,8] => [3,2,3]
[1,5,7,2,6,3,4,8] => [3,2,3]
[6,2,1,4,5,3,7,8] => [1,1,3,3]
[6,2,1,5,7,3,4,8] => [1,1,3,3]
[6,2,4,8,3,5,1,7] => [1,3,2,2]
[2,7,4,5,3,1,6,8] => [2,2,1,3]
[5,3,7,4,2,1,6,8] => [1,2,1,1,3]
[1,2,4,6,8,3,7,5] => [5,2,1]
[1,3,5,8,2,6,7,4] => [4,3,1]
[6,1,3,7,2,8,5,4] => [1,3,2,1,1]
[2,1,8,3,6,5,4,7] => [1,2,2,1,2]
[2,8,7,3,6,5,4,1] => [2,1,2,1,1,1]
[6,4,5,8,3,7,1,2] => [1,3,2,2]
[8,1,4,3,6,7,2,5] => [1,2,3,2]
[2,6,8,4,3,1,7,5] => [3,1,1,2,1]
[3,8,5,1,6,2,4,7] => [2,1,2,3]
[8,1,5,2,6,4,3,7] => [1,2,2,1,2]
[8,1,6,5,2,4,3,7] => [1,2,1,2,2]
[3,8,6,5,1,2,4,7] => [2,1,1,4]
[1,4,5,7,8,3,2,6] => [5,1,2]
[1,6,7,4,2,8,3,5] => [3,1,2,2]
[1,7,8,4,3,6,2,5] => [3,1,2,2]
[5,7,8,1,4,3,2,6] => [3,2,1,2]
[1,5,8,7,4,3,2,6] => [3,1,1,1,2]
[5,1,3,7,8,2,4,6] => [1,4,3]
[1,7,8,4,3,2,6,5] => [3,1,1,2,1]
[1,4,7,2,3,6,8,5] => [3,4,1]
[3,1,2,6,7,8,5,4] => [1,5,1,1]
[2,7,1,4,3,5,8,6] => [2,2,3,1]
[8,1,5,7,3,4,2,6] => [1,3,2,2]
[3,8,1,6,4,2,7,5] => [2,2,1,2,1]
[8,5,1,3,2,7,4,6] => [1,1,2,2,2]
[2,1,6,3,8,7,5,4] => [1,2,2,1,1,1]
[1,6,3,4,7,8,2,5] => [2,4,2]
[3,1,5,7,6,2,8,4] => [1,3,1,2,1]
[6,3,1,4,2,7,8,5] => [1,1,2,3,1]
[2,4,3,7,6,1,8,5] => [2,2,1,2,1]
[3,1,7,6,5,2,8,4] => [1,2,1,1,2,1]
[1,4,7,6,8,3,2,5] => [3,2,1,2]
[7,2,1,5,6,3,8,4] => [1,1,3,2,1]
[4,3,1,8,6,2,7,5] => [1,1,2,1,2,1]
[3,1,5,2,8,7,6,4] => [1,2,2,1,1,1]
[1,2,8,4,3,7,6,5] => [3,1,2,1,1]
[2,6,1,8,7,4,3,5] => [2,2,1,1,2]
[7,5,1,8,3,2,6,4] => [1,1,2,1,2,1]
[4,7,6,3,1,8,2,5] => [2,1,1,2,2]
[5,3,1,8,6,2,4,7] => [1,1,2,1,3]
[5,1,8,6,3,2,4,7] => [1,2,1,1,3]
[1,5,4,2,8,6,3,7] => [2,1,2,1,2]
[1,4,2,8,5,3,7,6] => [2,2,1,2,1]
[8,3,1,6,4,2,5,7] => [1,1,2,1,3]
[1,7,4,8,3,5,2,6] => [2,2,2,2]
[7,3,2,4,8,5,1,6] => [1,1,3,1,2]
[5,7,8,1,4,2,6,3] => [3,2,2,1]
[2,6,3,8,1,7,5,4] => [2,2,2,1,1]
[2,5,1,8,6,3,7,4] => [2,2,1,2,1]
[2,8,6,4,1,7,3,5] => [2,1,1,2,2]
[1,8,4,2,7,5,3,6] => [2,1,2,1,2]
[6,5,1,7,2,8,4,3] => [1,1,2,2,1,1]
[2,8,1,7,5,3,6,4] => [2,2,1,2,1]
[1,2,8,7,6,4,3,5] => [3,1,1,1,2]
[4,1,7,8,6,3,5,2] => [1,3,1,2,1]
[1,6,5,7,8,4,2,3] => [2,3,1,2]
[4,1,8,7,6,3,5,2] => [1,2,1,1,2,1]
[4,8,2,6,3,5,1,7] => [2,2,2,2]
[4,3,5,7,1,6,2,8] => [1,3,2,2]
[4,1,8,5,3,6,2,7] => [1,2,1,2,2]
[6,4,2,5,3,1,7,8] => [1,1,2,1,3]
[3,1,5,8,2,7,4,6] => [1,3,2,2]
[6,4,1,5,3,2,7,8] => [1,1,2,1,3]
[6,2,1,5,4,3,7,8] => [1,1,2,1,3]
[3,1,8,5,4,6,2,7] => [1,2,1,2,2]
[6,1,8,4,5,3,2,7] => [1,2,2,1,2]
[4,5,2,7,1,6,3,8] => [2,2,2,2]
[4,3,5,7,1,6,8,2] => [1,3,3,1]
[4,1,8,5,3,6,7,2] => [1,2,1,3,1]
[6,3,8,4,5,1,7,2] => [1,2,2,2,1]
[3,1,6,8,5,7,4,2] => [1,3,2,1,1]
[2,6,1,8,5,7,4,3] => [2,2,2,1,1]
[6,3,8,4,5,2,1,7] => [1,2,2,1,2]
[6,5,8,7,2,3,4,1] => [1,2,1,3,1]
[6,3,8,4,5,2,7,1] => [1,2,2,2,1]
[2,1,6,8,5,3,7,4] => [1,3,1,2,1]
[3,2,6,8,5,4,7,1] => [1,3,1,2,1]
[4,1,8,5,2,6,3,7] => [1,2,1,2,2]
[3,1,6,8,5,2,4,7] => [1,3,1,3]
[6,5,8,7,4,1,2,3] => [1,2,1,1,3]
[6,5,8,7,4,2,1,3] => [1,2,1,1,1,2]
[6,5,8,7,2,4,1,3] => [1,2,1,2,2]
[6,2,8,4,5,7,1,3] => [1,2,3,2]
[6,1,8,4,5,7,3,2] => [1,2,3,1,1]
[4,2,7,3,5,8,6,1] => [1,2,3,1,1]
[3,6,2,4,8,5,7,1] => [2,3,2,1]
[4,7,3,5,2,8,6,1] => [2,2,2,1,1]
[2,7,5,4,3,8,6,1] => [2,1,1,2,1,1]
[3,5,1,8,4,7,6,2] => [2,2,2,1,1]
[3,6,1,8,5,4,7,2] => [2,2,1,2,1]
[4,7,2,3,8,6,5,1] => [2,3,1,1,1]
[2,4,8,3,7,6,5,1] => [3,2,1,1,1]
[3,6,8,2,5,7,4,1] => [3,3,1,1]
[5,1,7,8,4,6,3,2] => [1,3,2,1,1]
[5,7,4,8,3,2,6,1] => [2,2,1,2,1]
[2,6,8,5,4,3,7,1] => [3,1,1,2,1]
[3,6,8,2,5,4,7,1] => [3,2,2,1]
[4,6,8,3,2,5,7,1] => [3,1,3,1]
[4,6,2,8,3,5,7,1] => [2,2,3,1]
[3,6,1,8,5,7,4,2] => [2,2,2,1,1]
[5,2,6,8,4,1,7,3] => [1,3,1,2,1]
[4,6,3,8,7,2,5,1] => [2,2,1,2,1]
[5,7,2,4,8,6,3,1] => [2,3,1,1,1]
[3,5,8,2,7,4,6,1] => [3,2,2,1]
[2,6,7,8,5,1,4,3] => [4,1,2,1]
[2,6,8,5,7,4,3,1] => [3,2,1,1,1]
[2,4,8,7,6,3,5,1] => [3,1,1,2,1]
[6,5,3,1,7,4,8,2] => [1,1,1,2,2,1]
[6,4,1,7,2,5,8,3] => [1,1,2,3,1]
[7,5,1,6,3,2,8,4] => [1,1,2,1,2,1]
[2,7,6,3,4,1,8,5] => [2,1,2,2,1]
[5,7,6,3,1,2,8,4] => [2,1,1,3,1]
[7,8,5,4,2,6,3,1] => [2,1,1,2,1,1]
[4,8,2,1,7,5,6,3] => [2,1,2,2,1]
[6,3,8,5,7,2,4,1] => [1,2,2,2,1]
[1,5,4,8,6,2,3,7] => [2,2,1,3]
[8,2,1,7,5,3,6,4] => [1,1,2,1,2,1]
[8,3,4,7,1,5,6,2] => [1,3,3,1]
[5,1,7,4,2,8,3,6] => [1,2,1,2,2]
[8,2,1,6,7,3,5,4] => [1,1,3,2,1]
[6,2,8,1,7,5,3,4] => [1,2,2,1,2]
[4,2,8,7,5,1,6,3] => [1,2,1,1,2,1]
[8,3,7,6,4,5,2,1] => [1,2,1,2,1,1]
[5,2,8,7,6,3,1,4] => [1,2,1,1,1,2]
[3,5,1,8,7,6,2,4] => [2,2,1,1,2]
[5,6,2,7,8,1,3,4] => [2,3,3]
[2,7,5,1,3,4,6,8] => [2,1,5]
[4,7,3,1,2,5,6,8] => [2,1,5]
[4,7,3,5,6,1,2,8] => [2,3,3]
[4,7,3,5,6,8,1,2] => [2,4,2]
[4,7,8,3,5,6,1,2] => [3,3,2]
[4,7,8,3,5,1,2,6] => [3,2,3]
[7,8,5,2,6,1,3,4] => [2,1,2,3]
[3,2,5,1,4,8,6,7] => [1,2,3,2]
[3,2,5,6,8,4,7,1] => [1,4,2,1]
[8,4,6,5,2,3,7,1] => [1,2,1,3,1]
[8,4,5,2,6,3,7,1] => [1,2,2,2,1]
[2,5,6,4,8,3,7,1] => [3,2,2,1]
[5,3,2,4,7,8,1,6] => [1,1,4,2]
[4,2,5,7,3,8,1,6] => [1,3,2,2]
[4,7,3,1,6,8,2,5] => [2,1,3,2]
[4,2,3,6,7,1,8,5] => [1,4,2,1]
[4,2,7,6,8,1,3,5] => [1,2,2,3]
[1,7,4,6,8,3,2,5] => [2,3,1,2]
[1,2,5,7,6,3,8,4] => [4,1,2,1]
[6,4,3,2,7,1,8,5] => [1,1,1,2,2,1]
[1,3,7,8,6,5,2,4] => [4,1,1,2]
[1,6,5,7,3,2,8,4] => [2,2,1,2,1]
[5,2,6,8,1,7,3,4] => [1,3,2,2]
[5,2,6,7,1,3,8,4] => [1,3,3,1]
[6,2,4,3,7,1,8,5] => [1,2,2,2,1]
[5,2,7,6,1,8,3,4] => [1,2,1,2,2]
[5,6,3,7,1,2,8,4] => [2,2,3,1]
[4,7,2,5,6,3,1,8] => [2,3,1,2]
[1,3,2,7,6,4,8,5] => [2,2,1,2,1]
[6,2,1,7,3,4,5,8] => [1,1,2,4]
[5,4,1,3,7,8,2,6] => [1,1,4,2]
[5,1,3,6,7,8,2,4] => [1,5,2]
[6,1,5,8,3,7,2,4] => [1,3,2,2]
[4,1,2,7,5,3,8,6] => [1,3,1,2,1]
[4,1,3,5,7,8,2,6] => [1,5,2]
[1,2,4,7,5,3,8,6] => [4,1,2,1]
[6,1,5,8,4,3,2,7] => [1,3,1,1,2]
[7,2,1,6,8,3,5,4] => [1,1,3,2,1]
[5,1,4,3,7,8,2,6] => [1,2,3,2]
[6,1,3,7,2,4,8,5] => [1,3,3,1]
[5,6,4,1,8,3,2,7] => [2,1,2,1,2]
[4,5,2,1,7,8,3,6] => [2,1,3,2]
[7,2,5,6,3,4,1,8] => [1,3,2,2]
[2,3,7,8,5,1,6,4] => [4,1,2,1]
[6,2,8,5,7,4,3,1] => [1,2,2,1,1,1]
[4,1,7,6,2,3,8,5] => [1,2,1,3,1]
[1,2,6,7,4,3,5,8] => [4,1,3]
[3,6,7,4,5,1,8,2] => [3,2,2,1]
[5,8,6,3,4,1,2,7] => [2,1,2,3]
[6,2,3,1,8,5,4,7] => [1,2,2,1,2]
[5,1,2,6,4,8,3,7] => [1,3,2,2]
[8,6,2,3,7,5,1,4] => [1,1,3,1,2]
[4,5,2,8,6,1,3,7] => [2,2,1,3]
[3,4,8,2,5,6,1,7] => [3,3,2]
[8,5,6,3,7,1,4,2] => [1,2,2,2,1]
[2,8,3,6,7,4,5,1] => [2,3,2,1]
[2,5,7,8,3,4,6,1] => [4,3,1]
[8,1,3,6,5,4,7,2] => [1,3,1,2,1]
[8,1,3,2,5,7,4,6] => [1,2,3,2]
[6,3,7,8,5,1,4,2] => [1,3,1,2,1]
[6,8,2,7,5,3,1,4] => [2,2,1,1,2]
[6,3,2,5,8,4,1,7] => [1,1,3,1,2]
[5,6,7,2,8,4,1,3] => [3,2,1,2]
[3,4,1,7,6,2,8,5] => [2,2,1,2,1]
[6,8,7,1,3,5,2,4] => [2,1,3,2]
[5,8,3,6,4,1,7,2] => [2,2,1,2,1]
[7,5,4,6,1,3,8,2] => [1,1,2,3,1]
[4,3,8,5,2,7,1,6] => [1,2,1,2,2]
[5,6,8,2,4,3,1,7] => [3,2,1,2]
[7,5,8,3,2,1,4,6] => [1,2,1,1,3]
[3,6,4,5,7,2,1,8] => [2,3,1,2]
[3,6,7,4,5,2,1,8] => [3,2,1,2]
[4,6,8,5,7,1,3,2] => [3,2,2,1]
[2,4,7,1,5,8,3,6] => [3,3,2]
[8,1,4,7,5,3,6,2] => [1,3,1,2,1]
[3,5,7,1,6,4,8,2] => [3,2,2,1]
[3,6,5,1,7,4,2,8] => [2,1,2,1,2]
[2,8,4,5,1,6,3,7] => [2,2,2,2]
[2,6,7,4,1,5,3,8] => [3,1,2,2]
[3,2,5,8,4,7,1,6] => [1,3,2,2]
[8,5,1,2,4,6,3,7] => [1,1,4,2]
[2,5,8,1,3,4,7,6] => [3,4,1]
[3,5,1,8,7,4,2,6] => [2,2,1,1,2]
[1,4,8,7,5,2,3,6] => [3,1,1,3]
[6,7,1,2,5,3,8,4] => [2,3,2,1]
[7,8,6,1,2,5,3,4] => [2,1,3,2]
[4,6,1,3,8,2,7,5] => [2,3,2,1]
[8,5,1,2,3,7,6,4] => [1,1,4,1,1]
[6,8,1,2,3,7,5,4] => [2,4,1,1]
[2,3,7,4,8,6,1,5] => [3,2,1,2]
[7,3,1,8,4,6,2,5] => [1,1,2,2,2]
[2,3,7,6,8,1,4,5] => [3,2,3]
[3,5,1,8,4,7,2,6] => [2,2,2,2]
[7,6,1,2,3,5,8,4] => [1,1,5,1]
[8,6,1,2,3,5,7,4] => [1,1,5,1]
[8,2,6,7,4,3,1,5] => [1,3,1,1,2]
[7,5,1,2,6,3,8,4] => [1,1,3,2,1]
[5,1,7,8,3,2,4,6] => [1,3,1,3]
[3,1,7,6,2,8,5,4] => [1,2,1,2,1,1]
[5,3,6,7,4,2,8,1] => [1,3,1,2,1]
[2,4,5,1,8,7,6,3] => [3,2,1,1,1]
[6,8,7,3,1,5,2,4] => [2,1,1,2,2]
[5,4,2,8,6,7,3,1] => [1,1,2,2,1,1]
[6,1,4,2,8,7,3,5] => [1,2,2,1,2]
[3,2,4,6,8,5,7,1] => [1,4,2,1]
[3,7,2,6,8,4,5,1] => [2,3,2,1]
[4,6,5,2,7,8,3,1] => [2,1,3,1,1]
[5,4,6,2,7,8,3,1] => [1,2,3,1,1]
[5,1,8,6,4,2,7,3] => [1,2,1,1,2,1]
[3,7,1,8,2,4,6,5] => [2,2,3,1]
[7,2,8,3,1,5,6,4] => [1,2,1,3,1]
[6,2,1,8,5,7,4,3] => [1,1,2,2,1,1]
[2,6,3,8,5,7,4,1] => [2,2,2,1,1]
[5,4,7,2,3,8,6,1] => [1,2,3,1,1]
[5,4,6,2,3,1,8,7] => [1,2,2,2,1]
[6,5,7,8,1,3,4,2] => [1,3,3,1]
[2,1,7,6,8,4,5,3] => [1,2,2,2,1]
[6,5,7,8,1,3,2,4] => [1,3,2,2]
[6,4,7,2,8,3,1,5] => [1,2,2,1,2]
[6,3,2,7,8,4,5,1] => [1,1,3,2,1]
[6,5,7,8,2,4,3,1] => [1,3,2,1,1]
[6,4,7,1,8,5,3,2] => [1,2,2,1,1,1]
[1,4,8,2,7,6,5,3] => [3,2,1,1,1]
[4,7,3,1,5,2,8,6] => [2,1,2,2,1]
[4,6,3,1,7,5,8,2] => [2,1,2,2,1]
[5,7,4,3,1,2,8,6] => [2,1,1,3,1]
[2,1,4,7,5,3,8,6] => [1,3,1,2,1]
[4,7,3,6,5,2,8,1] => [2,2,1,2,1]
[4,7,6,3,1,5,8,2] => [2,1,1,3,1]
[2,4,7,3,8,5,1,6] => [3,2,1,2]
[2,7,3,1,8,5,4,6] => [2,1,2,1,2]
[2,5,3,1,7,4,8,6] => [2,1,2,2,1]
[2,4,3,1,7,5,8,6] => [2,1,2,2,1]
[2,7,3,8,6,5,1,4] => [2,2,1,1,2]
[2,8,3,1,7,4,5,6] => [2,1,2,3]
[6,7,5,2,1,4,8,3] => [2,1,1,3,1]
[7,8,6,2,1,5,3,4] => [2,1,1,2,2]
[7,8,6,3,2,5,1,4] => [2,1,1,2,2]
[7,1,6,3,8,4,2,5] => [1,2,2,1,2]
[5,8,4,2,6,1,7,3] => [2,1,2,2,1]
[6,7,4,8,5,3,1,2] => [2,2,1,1,2]
[7,8,6,3,5,2,1,4] => [2,1,2,1,2]
[1,6,2,5,7,8,3,4] => [2,4,2]
[1,7,8,2,5,4,6,3] => [3,2,2,1]
[1,2,6,8,3,4,7,5] => [4,3,1]
[1,6,2,5,3,7,8,4] => [2,2,3,1]
[1,8,2,6,7,3,5,4] => [2,3,2,1]
[1,3,6,8,4,7,2,5] => [4,2,2]
[1,5,6,8,3,2,4,7] => [4,1,3]
[1,7,3,5,4,2,8,6] => [2,2,1,2,1]
[1,8,2,7,3,5,6,4] => [2,2,3,1]
[1,8,3,2,7,4,6,5] => [2,1,2,2,1]
[1,2,8,5,3,4,7,6] => [3,1,3,1]
[1,7,4,8,6,5,3,2] => [2,2,1,1,1,1]
[1,6,8,7,2,4,3,5] => [3,1,2,2]
[1,6,3,7,2,5,8,4] => [2,2,3,1]
[1,3,6,5,4,8,2,7] => [3,1,2,2]
[1,6,3,5,7,4,8,2] => [2,3,2,1]
[1,8,2,3,7,4,6,5] => [2,3,2,1]
[1,7,2,3,8,4,6,5] => [2,3,2,1]
[1,5,4,7,2,8,3,6] => [2,2,2,2]
[8,4,5,6,2,7,1,3] => [1,3,2,2]
[4,6,7,1,5,2,8,3] => [3,2,2,1]
[3,8,4,7,5,2,6,1] => [2,2,1,2,1]
[3,7,5,2,6,1,8,4] => [2,1,2,2,1]
[3,8,5,2,6,1,7,4] => [2,1,2,2,1]
[3,7,4,8,5,2,6,1] => [2,2,1,2,1]
[3,6,1,5,2,8,7,4] => [2,2,2,1,1]
[8,1,2,6,5,3,4,7] => [1,3,1,3]
[3,7,4,2,5,6,1,8] => [2,1,3,2]
[3,4,2,7,5,1,6,8] => [2,2,1,3]
[6,7,1,3,4,2,5,8] => [2,3,3]
[6,8,7,1,3,4,2,5] => [2,1,3,2]
[3,4,2,8,6,7,5,1] => [2,2,2,1,1]
[3,7,8,6,1,4,2,5] => [3,1,2,2]
[3,6,1,5,2,7,8,4] => [2,2,3,1]
[3,8,4,2,5,7,6,1] => [2,1,3,1,1]
[7,1,6,8,3,4,2,5] => [1,3,2,2]
[8,1,2,6,3,5,7,4] => [1,3,3,1]
[7,4,8,1,2,6,3,5] => [1,2,3,2]
[6,2,8,4,7,1,3,5] => [1,2,2,3]
[8,3,4,2,5,7,1,6] => [1,2,3,2]
[3,7,8,4,2,5,6,1] => [3,1,3,1]
[3,8,4,2,5,6,1,7] => [2,1,3,2]
[3,6,1,5,2,8,4,7] => [2,2,2,2]
[7,1,3,4,8,5,2,6] => [1,4,1,2]
[7,1,3,4,2,5,8,6] => [1,3,3,1]
[3,4,2,8,5,1,6,7] => [2,2,1,3]
[3,4,2,6,8,5,1,7] => [2,3,1,2]
[8,7,1,3,4,2,5,6] => [1,1,3,3]
[7,1,3,4,2,5,6,8] => [1,3,4]
[3,6,1,4,2,5,7,8] => [2,2,4]
[6,8,2,7,5,4,1,3] => [2,2,1,1,2]
[1,8,4,3,7,6,2,5] => [2,1,2,1,2]
[4,3,8,7,1,2,6,5] => [1,2,1,3,1]
[1,8,4,5,7,6,2,3] => [2,3,1,2]
[4,3,8,5,7,1,6,2] => [1,2,2,2,1]
[6,3,4,8,7,2,1,5] => [1,3,1,1,2]
[5,3,8,4,7,1,6,2] => [1,2,2,2,1]
[5,2,8,7,1,4,6,3] => [1,2,1,3,1]
[3,2,8,7,1,6,4,5] => [1,2,1,2,2]
[2,7,8,3,1,6,4,5] => [3,1,2,2]
[2,7,8,5,1,4,6,3] => [3,1,3,1]
[3,5,8,7,4,1,6,2] => [3,1,1,2,1]
[7,4,6,8,3,5,1,2] => [1,3,2,2]
[2,7,8,1,3,6,4,5] => [3,3,2]
[2,7,8,1,5,4,6,3] => [3,2,2,1]
[2,7,8,1,4,5,6,3] => [3,4,1]
[3,6,7,8,2,4,1,5] => [4,2,2]
[4,5,7,8,6,3,1,2] => [4,1,1,2]
[5,4,6,8,7,3,1,2] => [1,3,1,1,2]
[4,5,8,6,7,1,3,2] => [3,2,2,1]
[5,7,6,8,2,1,3,4] => [2,2,1,3]
[3,7,6,8,2,4,1,5] => [2,2,2,2]
[5,4,7,8,6,3,1,2] => [1,3,1,1,2]
[4,5,7,8,2,6,1,3] => [4,2,2]
[4,5,6,8,7,3,1,2] => [4,1,1,2]
[8,1,7,5,4,3,6,2] => [1,2,1,1,2,1]
[6,1,3,4,8,5,7,2] => [1,4,2,1]
[5,7,3,4,2,1,6,8] => [2,2,1,3]
[8,1,6,5,3,7,4,2] => [1,2,1,2,1,1]
[7,1,6,4,5,3,8,2] => [1,2,2,2,1]
[6,1,5,3,8,4,7,2] => [1,2,2,2,1]
[4,1,8,6,7,2,5,3] => [1,2,2,2,1]
[1,2,8,3,6,7,5,4] => [3,3,1,1]
[6,8,5,4,1,2,3,7] => [2,1,1,4]
[6,4,1,7,3,2,5,8] => [1,1,2,1,3]
[8,3,6,1,2,5,4,7] => [1,2,3,2]
[4,6,7,1,2,5,3,8] => [3,3,2]
[6,1,7,3,2,5,8,4] => [1,2,1,3,1]
[4,1,7,2,8,6,3,5] => [1,2,2,1,2]
[7,4,1,8,2,3,6,5] => [1,1,2,3,1]
[1,4,6,7,8,2,5,3] => [5,2,1]
[3,7,1,6,2,4,5,8] => [2,2,4]
[7,1,3,4,8,6,2,5] => [1,4,1,2]
[5,2,7,4,8,1,3,6] => [1,2,2,3]
[1,8,6,2,5,4,7,3] => [2,1,2,2,1]
[8,3,1,2,5,6,4,7] => [1,1,4,2]
[5,3,4,1,6,7,2,8] => [1,2,3,2]
[5,2,1,6,4,3,8,7] => [1,1,2,1,2,1]
[5,2,8,3,4,7,1,6] => [1,2,3,2]
[3,8,4,1,7,5,2,6] => [2,1,2,1,2]
[4,7,6,5,1,2,3,8] => [2,1,1,4]
[6,2,7,4,8,3,1,5] => [1,2,2,1,2]
[6,4,5,2,8,1,3,7] => [1,2,2,3]
[2,8,5,1,4,3,7,6] => [2,1,2,2,1]
[4,8,6,5,2,1,7,3] => [2,1,1,1,2,1]
[5,6,4,8,7,2,3,1] => [2,2,1,2,1]
[1,6,8,2,5,7,3,4] => [3,3,2]
[1,5,4,2,7,6,8,3] => [2,1,2,2,1]
[8,5,2,3,7,6,1,4] => [1,1,3,1,2]
[6,8,2,7,5,1,4,3] => [2,2,1,2,1]
[8,3,4,5,6,1,7,2] => [1,4,2,1]
[7,4,2,5,6,8,1,3] => [1,1,4,2]
[5,3,6,4,7,2,1,8] => [1,2,2,1,2]
[4,2,6,5,7,3,1,8] => [1,2,2,1,2]
[5,4,6,2,7,3,1,8] => [1,2,2,1,2]
[3,2,6,5,8,4,1,7] => [1,2,2,1,2]
[3,2,6,5,8,7,1,4] => [1,2,2,1,2]
[4,2,6,5,8,7,1,3] => [1,2,2,1,2]
[5,2,6,4,8,7,1,3] => [1,2,2,1,2]
[5,4,7,6,8,2,1,3] => [1,2,2,1,2]
[6,4,7,5,8,3,1,2] => [1,2,2,1,2]
[4,2,7,5,8,6,1,3] => [1,2,2,1,2]
[3,2,7,5,8,4,1,6] => [1,2,2,1,2]
[4,3,7,2,8,5,1,6] => [1,2,2,1,2]
[4,3,6,2,8,5,1,7] => [1,2,2,1,2]
[4,3,7,6,8,5,1,2] => [1,2,2,1,2]
[5,3,7,6,8,2,1,4] => [1,2,2,1,2]
[5,3,7,2,8,6,1,4] => [1,2,2,1,2]
[3,2,6,4,8,7,1,5] => [1,2,2,1,2]
[4,2,7,3,8,6,1,5] => [1,2,2,1,2]
[5,2,7,6,8,3,1,4] => [1,2,2,1,2]
[3,2,7,6,8,4,1,5] => [1,2,2,1,2]
[3,2,7,6,8,5,1,4] => [1,2,2,1,2]
[6,2,7,5,8,4,1,3] => [1,2,2,1,2]
[4,8,1,7,3,2,5,6] => [2,2,1,3]
[3,7,4,8,2,1,5,6] => [2,2,1,3]
[3,7,8,2,5,4,6,1] => [3,2,2,1]
[4,7,5,8,3,2,6,1] => [2,2,1,2,1]
[6,7,1,3,2,5,8,4] => [2,2,3,1]
[8,7,6,4,1,5,3,2] => [1,1,1,1,2,1,1]
[3,8,5,2,6,4,7,1] => [2,1,2,2,1]
[7,2,5,3,4,8,1,6] => [1,2,3,2]
[7,4,8,3,5,1,6,2] => [1,2,2,2,1]
[5,4,6,8,7,1,2,3] => [1,3,1,3]
[6,4,7,8,5,1,2,3] => [1,3,1,3]
[4,2,5,3,7,8,6,1] => [1,2,3,1,1]
[5,3,6,2,4,1,8,7] => [1,2,2,2,1]
[7,8,6,2,3,5,4,1] => [2,1,3,1,1]
[5,8,2,6,3,7,4,1] => [2,2,2,1,1]
[4,8,2,3,7,5,6,1] => [2,3,2,1]
[7,5,6,2,3,8,4,1] => [1,2,3,1,1]
[2,7,5,6,4,3,8,1] => [2,2,1,2,1]
[2,8,4,3,7,5,6,1] => [2,1,2,2,1]
[3,8,5,7,6,4,2,1] => [2,2,1,1,1,1]
[7,8,6,3,5,4,2,1] => [2,1,2,1,1,1]
[2,7,6,3,8,5,4,1] => [2,1,2,1,1,1]
[7,4,2,5,6,3,8,1] => [1,1,3,2,1]
[6,2,7,5,3,8,4,1] => [1,2,1,2,1,1]
[2,4,8,3,7,5,6,1] => [3,2,2,1]
[4,8,3,7,5,6,2,1] => [2,2,2,1,1]
[6,2,5,8,3,7,4,1] => [1,3,2,1,1]
[4,7,3,8,2,5,6,1] => [2,2,3,1]
[8,2,5,6,3,7,4,1] => [1,3,2,1,1]
[4,5,3,7,1,2,6,8] => [2,2,4]
[6,4,7,3,1,2,5,8] => [1,2,1,4]
[6,8,4,1,3,5,2,7] => [2,1,3,2]
[8,5,3,6,1,4,2,7] => [1,1,2,2,2]
[5,6,3,7,4,1,2,8] => [2,2,1,3]
[5,2,6,7,4,1,3,8] => [1,3,1,3]
[5,6,2,7,4,1,3,8] => [2,2,1,3]
[8,5,6,4,1,3,2,7] => [1,2,1,2,2]
[7,8,5,1,4,3,2,6] => [2,1,2,1,2]
[6,7,2,8,4,3,1,5] => [2,2,1,1,2]
[6,7,3,2,8,4,1,5] => [2,1,2,1,2]
[8,5,3,6,2,1,4,7] => [1,1,2,1,3]
[4,7,8,3,1,5,2,6] => [3,1,2,2]
[4,5,8,1,3,2,6,7] => [3,2,3]
[4,7,8,1,6,3,2,5] => [3,2,1,2]
[5,7,8,1,2,6,4,3] => [3,3,1,1]
[6,5,4,7,2,8,1,3] => [1,1,2,2,2]
[6,2,7,3,5,8,1,4] => [1,2,3,2]
[6,2,7,5,4,8,1,3] => [1,2,1,2,2]
[4,7,1,3,8,6,5,2] => [2,3,1,1,1]
[2,6,7,4,3,8,1,5] => [3,1,2,2]
[3,7,6,4,5,8,1,2] => [2,1,3,2]
[3,7,6,5,4,8,1,2] => [2,1,1,2,2]
[5,7,2,8,3,4,6,1] => [2,2,3,1]
[3,7,2,8,5,6,4,1] => [2,2,2,1,1]
[3,1,5,8,4,7,6,2] => [1,3,2,1,1]
[1,5,6,8,4,3,7,2] => [4,1,2,1]
[3,1,5,8,6,4,7,2] => [1,3,1,2,1]
[4,7,2,8,5,3,6,1] => [2,2,1,2,1]
[2,3,8,6,4,5,7,1] => [3,1,3,1]
[2,3,8,6,4,7,5,1] => [3,1,2,1,1]
[4,6,1,7,8,3,2,5] => [2,3,1,2]
[3,6,2,8,7,4,5,1] => [2,2,1,2,1]
[2,5,6,1,8,7,3,4] => [3,2,1,2]
[3,6,2,8,4,7,5,1] => [2,2,2,1,1]
[2,3,8,6,7,4,5,1] => [3,2,2,1]
[2,3,8,7,4,6,5,1] => [3,1,2,1,1]
[2,3,8,5,7,4,6,1] => [3,2,2,1]
[3,5,2,8,7,4,6,1] => [2,2,1,2,1]
[1,5,6,8,7,3,4,2] => [4,1,2,1]
[2,3,8,6,7,5,4,1] => [3,2,1,1,1]
[2,3,8,7,6,4,5,1] => [3,1,1,2,1]
[8,5,6,3,1,4,2,7] => [1,2,1,2,2]
[8,5,6,1,3,4,2,7] => [1,2,3,2]
[8,1,5,6,3,4,2,7] => [1,3,2,2]
[8,1,5,3,6,4,2,7] => [1,2,2,1,2]
[8,3,5,6,4,1,2,7] => [1,3,1,3]
[8,3,5,1,6,4,2,7] => [1,2,2,1,2]
[1,3,8,5,6,2,4,7] => [3,2,3]
[3,8,5,6,1,4,2,7] => [2,2,2,2]
[3,8,5,6,4,1,2,7] => [2,2,1,3]
[5,7,8,3,4,6,2,1] => [3,3,1,1]
[3,5,8,6,4,1,2,7] => [3,1,1,3]
[3,5,1,8,6,4,2,7] => [2,2,1,1,2]
[1,3,5,8,6,2,4,7] => [4,1,3]
[7,5,3,8,6,4,2,1] => [1,1,2,1,1,1,1]
[1,5,3,8,6,4,2,7] => [2,2,1,1,2]
[5,1,3,8,6,4,2,7] => [1,3,1,1,2]
[5,3,8,1,6,4,2,7] => [1,2,2,1,2]
[5,3,8,6,4,1,2,7] => [1,2,1,1,3]
[5,8,3,1,6,4,2,7] => [2,1,2,1,2]
[5,8,1,3,6,4,2,7] => [2,3,1,2]
[5,1,8,3,6,4,2,7] => [1,2,2,1,2]
[1,5,8,3,6,4,2,7] => [3,2,1,2]
[7,5,8,3,6,4,2,1] => [1,2,2,1,1,1]
[1,5,8,6,3,4,2,7] => [3,1,2,2]
[1,7,8,2,5,6,4,3] => [3,3,1,1]
[7,1,8,3,6,4,2,5] => [1,2,2,1,2]
[7,8,3,6,4,1,2,5] => [2,2,1,3]
[7,1,3,8,6,4,2,5] => [1,3,1,1,2]
[3,7,5,8,2,6,4,1] => [2,2,2,1,1]
[3,1,7,8,4,2,6,5] => [1,3,1,2,1]
[5,7,8,1,4,6,2,3] => [3,3,2]
[5,7,8,4,6,1,2,3] => [3,2,3]
[1,3,7,8,4,2,6,5] => [4,1,2,1]
[6,1,2,5,3,4,7,8] => [1,3,4]
[5,1,2,4,6,3,7,8] => [1,4,3]
[7,1,6,5,2,3,4,8] => [1,2,1,4]
[6,1,2,5,4,3,7,8] => [1,3,1,3]
[5,1,4,6,7,3,2,8] => [1,4,1,2]
[1,4,6,5,7,2,3,8] => [3,2,3]
[6,7,3,5,4,1,2,8] => [2,2,1,3]
[8,1,6,7,3,5,4,2] => [1,3,2,1,1]
[7,2,4,1,6,5,3,8] => [1,2,2,1,2]
[4,2,5,1,3,7,6,8] => [1,2,3,2]
[1,3,2,6,8,4,7,5] => [2,3,2,1]
[4,2,6,5,7,1,3,8] => [1,2,2,3]
[6,2,5,7,3,1,4,8] => [1,3,1,3]
[8,2,5,6,3,4,7,1] => [1,3,3,1]
[8,2,5,4,1,6,7,3] => [1,2,1,3,1]
[2,8,5,1,3,6,7,4] => [2,1,4,1]
[8,7,4,3,5,1,6,2] => [1,1,1,2,2,1]
[8,7,3,5,2,6,4,1] => [1,1,2,2,1,1]
[3,8,5,6,1,2,7,4] => [2,2,3,1]
[8,1,7,5,4,2,6,3] => [1,2,1,1,2,1]
[1,2,6,4,7,3,5,8] => [3,2,3]
[6,3,1,7,2,4,5,8] => [1,1,2,4]
[1,6,4,3,7,2,5,8] => [2,1,2,3]
[2,4,5,7,1,6,3,8] => [4,2,2]
[5,7,8,3,2,6,1,4] => [3,1,2,2]
[5,6,8,3,2,4,7,1] => [3,1,3,1]
[4,8,5,2,3,7,6,1] => [2,1,3,1,1]
[6,8,4,3,7,2,5,1] => [2,1,2,2,1]
[6,7,4,3,8,2,1,5] => [2,1,2,1,2]
[7,4,5,1,3,8,2,6] => [1,2,3,2]
[8,4,5,1,3,7,6,2] => [1,2,3,1,1]
[8,6,4,3,7,1,5,2] => [1,1,1,2,2,1]
[8,6,5,7,3,1,4,2] => [1,1,2,1,2,1]
[8,5,6,7,1,3,4,2] => [1,3,3,1]
[8,3,1,6,7,4,5,2] => [1,1,3,2,1]
[7,5,6,8,1,3,2,4] => [1,3,2,2]
[6,8,5,7,3,2,4,1] => [2,2,1,2,1]
[4,7,8,2,6,5,1,3] => [3,2,1,2]
[6,8,7,5,4,2,3,1] => [2,1,1,1,2,1]
[7,3,1,8,6,5,2,4] => [1,1,2,1,1,2]
[7,1,3,2,4,6,5,8] => [1,2,3,2]
[7,2,3,5,1,6,8,4] => [1,3,3,1]
[7,2,3,1,4,6,8,5] => [1,2,4,1]
[6,5,2,1,4,8,3,7] => [1,1,1,3,2]
[2,7,3,1,4,8,6,5] => [2,1,3,1,1]
[1,4,6,3,7,8,5,2] => [3,3,1,1]
[3,1,6,5,7,8,4,2] => [1,2,3,1,1]
[1,2,6,5,8,4,7,3] => [3,2,2,1]
[4,3,1,5,8,7,6,2] => [1,1,3,1,1,1]
[4,7,6,8,1,3,5,2] => [2,2,3,1]
[3,7,2,5,1,6,8,4] => [2,2,3,1]
[4,7,1,3,2,5,6,8] => [2,2,4]
[4,1,6,7,3,2,8,5] => [1,3,1,2,1]
[1,7,2,5,6,8,4,3] => [2,4,1,1]
[3,2,1,5,8,4,7,6] => [1,1,3,2,1]
[4,7,6,8,3,1,5,2] => [2,2,1,2,1]
[2,1,6,5,8,4,3,7] => [1,2,2,1,2]
[7,4,6,3,5,1,8,2] => [1,2,2,2,1]
[2,5,4,7,3,1,6,8] => [2,2,1,3]
[5,4,8,6,1,7,3,2] => [1,2,1,2,1,1]
[7,4,1,8,5,6,3,2] => [1,1,2,2,1,1]
[3,6,4,5,7,1,8,2] => [2,3,2,1]
[3,5,4,7,1,8,6,2] => [2,2,2,1,1]
[3,8,2,4,5,7,1,6] => [2,4,2]
[6,3,2,4,1,8,5,7] => [1,1,2,2,2]
[7,1,5,4,2,3,6,8] => [1,2,1,4]
[7,1,3,6,4,5,2,8] => [1,3,2,2]
[6,4,5,1,3,8,2,7] => [1,2,3,2]
[6,1,3,8,4,5,2,7] => [1,3,2,2]
[7,4,5,1,3,6,2,8] => [1,2,3,2]
[7,3,6,4,5,1,2,8] => [1,2,2,3]
[2,1,8,7,3,6,5,4] => [1,2,1,2,1,1]
[5,8,6,3,1,2,7,4] => [2,1,1,3,1]
[5,8,2,7,1,3,6,4] => [2,2,3,1]
[2,6,5,4,1,3,7,8] => [2,1,1,4]
[4,1,5,7,6,3,2,8] => [1,3,1,1,2]
[6,3,4,2,1,8,7,5] => [1,2,1,2,1,1]
[4,5,1,7,6,3,2,8] => [2,2,1,1,2]
[2,5,4,1,7,8,3,6] => [2,1,3,2]
[3,5,4,7,8,2,1,6] => [2,3,1,2]
[7,3,6,1,4,5,2,8] => [1,2,3,2]
[7,1,4,5,2,8,3,6] => [1,3,2,2]
[5,4,2,1,8,7,3,6] => [1,1,1,2,1,2]
[4,8,6,3,1,5,2,7] => [2,1,1,2,2]
[6,2,1,5,4,3,8,7] => [1,1,2,1,2,1]
[5,1,4,8,3,6,2,7] => [1,3,2,2]
[6,1,4,5,3,8,2,7] => [1,3,2,2]
[1,7,2,6,8,4,5,3] => [2,3,2,1]
[1,4,2,6,7,8,5,3] => [2,4,1,1]
[1,4,2,5,6,8,7,3] => [2,4,1,1]
[1,4,6,5,7,2,8,3] => [3,2,2,1]
[2,5,3,6,7,8,4,1] => [2,4,1,1]
[6,4,2,7,8,3,5,1] => [1,1,3,2,1]
[5,3,1,6,8,7,2,4] => [1,1,3,1,2]
[6,2,1,7,4,3,5,8] => [1,1,2,1,3]
[1,8,6,2,4,3,5,7] => [2,1,2,3]
[8,3,1,4,2,6,7,5] => [1,1,2,3,1]
[7,4,2,5,3,8,6,1] => [1,1,2,2,1,1]
[6,5,8,3,1,7,2,4] => [1,2,1,2,2]
[3,2,4,5,7,8,1,6] => [1,5,2]
[2,3,4,7,5,8,6,1] => [4,2,1,1]
[3,6,2,4,8,5,1,7] => [2,3,1,2]
[1,8,2,4,7,3,5,6] => [2,3,3]
[8,1,3,2,7,4,5,6] => [1,2,2,3]
[6,5,2,8,7,4,3,1] => [1,1,2,1,1,1,1]
[7,8,5,4,2,1,6,3] => [2,1,1,1,2,1]
[7,5,2,8,6,4,3,1] => [1,1,2,1,1,1,1]
[7,8,3,2,6,5,4,1] => [2,1,2,1,1,1]
[6,5,2,8,1,4,7,3] => [1,1,2,3,1]
[8,5,2,6,4,1,7,3] => [1,1,2,1,2,1]
[5,1,8,6,4,3,7,2] => [1,2,1,1,2,1]
[5,8,6,1,3,2,7,4] => [2,1,2,2,1]
[1,7,6,3,8,2,5,4] => [2,1,2,2,1]
[8,2,6,3,7,5,1,4] => [1,2,2,1,2]
[8,2,6,7,3,4,1,5] => [1,3,2,2]
[7,2,6,8,3,1,4,5] => [1,3,1,3]
[6,1,3,7,8,4,5,2] => [1,4,2,1]
[6,8,7,4,1,3,2,5] => [2,1,1,2,2]
[8,6,7,2,5,3,1,4] => [1,2,2,1,2]
[1,6,2,7,8,4,5,3] => [2,3,2,1]
[8,6,2,7,5,4,1,3] => [1,1,2,1,1,2]
[1,6,8,2,7,5,3,4] => [3,2,1,2]
[7,6,3,2,8,1,5,4] => [1,1,1,2,2,1]
[5,7,3,1,2,8,6,4] => [2,1,3,1,1]
[5,1,7,4,3,8,6,2] => [1,2,1,2,1,1]
[6,7,1,4,8,2,5,3] => [2,3,2,1]
[8,6,3,7,2,4,1,5] => [1,1,2,2,2]
[1,7,8,6,4,2,3,5] => [3,1,1,3]
[7,2,8,6,4,1,3,5] => [1,2,1,1,3]
[7,4,2,6,5,3,1,8] => [1,1,2,1,1,2]
[1,5,3,7,4,2,6,8] => [2,2,1,3]
[1,7,6,4,3,2,8,5] => [2,1,1,1,2,1]
[1,7,6,4,3,2,5,8] => [2,1,1,1,3]
[7,4,3,6,2,5,1,8] => [1,1,2,2,2]
[1,7,6,3,4,2,5,8] => [2,1,2,3]
[1,2,7,4,3,8,6,5] => [3,1,2,1,1]
[1,7,6,3,5,2,4,8] => [2,1,2,3]
[1,5,4,7,3,2,8,6] => [2,2,1,2,1]
[1,7,6,3,5,2,8,4] => [2,1,2,2,1]
[1,2,7,4,3,6,5,8] => [3,1,2,2]
[1,5,4,2,3,8,7,6] => [2,1,3,1,1]
[1,7,6,4,5,2,3,8] => [2,1,2,3]
[1,5,3,2,4,6,7,8] => [2,1,5]
[1,5,3,7,6,2,4,8] => [2,2,1,3]
[1,2,7,5,3,6,8,4] => [3,1,3,1]
[1,2,7,6,3,5,4,8] => [3,1,2,2]
[1,5,4,2,3,7,8,6] => [2,1,4,1]
[1,2,7,6,3,5,8,4] => [3,1,3,1]
[8,1,3,2,6,5,7,4] => [1,2,2,2,1]
[4,3,7,2,8,1,6,5] => [1,2,2,2,1]
[3,2,7,5,6,1,8,4] => [1,2,2,2,1]
[7,5,6,1,3,2,8,4] => [1,2,2,2,1]
[7,3,4,1,8,2,6,5] => [1,2,2,2,1]
[7,4,5,1,6,3,8,2] => [1,2,2,2,1]
[7,5,6,1,4,3,8,2] => [1,2,2,2,1]
[4,2,7,6,8,3,5,1] => [1,2,2,2,1]
[3,2,6,4,8,5,7,1] => [1,2,2,2,1]
[4,2,8,3,6,5,7,1] => [1,2,2,2,1]
[8,1,4,3,5,2,7,6] => [1,2,2,2,1]
[6,2,8,5,7,1,4,3] => [1,2,2,2,1]
[6,4,8,5,7,1,3,2] => [1,2,2,2,1]
[5,3,4,1,6,2,8,7] => [1,2,2,2,1]
[5,2,7,6,8,1,4,3] => [1,2,2,2,1]
[7,5,6,1,8,2,4,3] => [1,2,2,2,1]
[7,3,6,1,8,2,5,4] => [1,2,2,2,1]
[7,2,8,1,6,3,5,4] => [1,2,2,2,1]
[5,8,4,1,2,6,3,7] => [2,1,3,2]
[6,4,7,1,2,8,3,5] => [1,2,3,2]
[3,8,1,7,4,2,5,6] => [2,2,1,3]
[3,7,4,8,2,5,6,1] => [2,2,3,1]
[8,3,4,5,1,6,2,7] => [1,3,2,2]
[8,4,1,2,3,6,5,7] => [1,1,4,2]
[8,3,6,5,4,1,2,7] => [1,2,1,1,3]
[8,2,1,5,3,4,6,7] => [1,1,2,4]
[8,2,5,6,4,1,3,7] => [1,3,1,3]
[2,7,8,5,4,3,6,1] => [3,1,1,2,1]
[3,8,2,6,4,7,5,1] => [2,2,2,1,1]
[1,2,5,7,4,8,3,6] => [4,2,2]
[4,3,7,5,8,1,2,6] => [1,2,2,3]
[4,7,1,5,3,6,8,2] => [2,2,3,1]
[1,7,5,8,4,6,3,2] => [2,2,2,1,1]
[7,3,6,8,4,1,5,2] => [1,3,1,2,1]
[8,3,6,7,4,5,2,1] => [1,3,2,1,1]
[6,8,5,3,1,4,7,2] => [2,1,1,3,1]
[1,8,3,4,7,5,6,2] => [2,3,2,1]
[6,1,4,7,3,5,8,2] => [1,3,3,1]
[5,8,6,2,7,3,4,1] => [2,1,2,2,1]
[6,5,8,3,2,7,4,1] => [1,2,1,2,1,1]
[6,5,7,1,2,8,3,4] => [1,2,3,2]
[7,1,4,2,3,8,6,5] => [1,2,3,1,1]
[2,3,5,4,8,1,7,6] => [3,2,2,1]
[6,2,4,7,8,3,5,1] => [1,4,2,1]
[1,7,2,6,5,3,8,4] => [2,2,1,2,1]
[4,2,6,7,1,8,5,3] => [1,3,2,1,1]
[2,7,1,6,3,8,5,4] => [2,2,2,1,1]
[3,7,5,6,8,1,2,4] => [2,3,3]
[8,1,2,5,3,7,6,4] => [1,3,2,1,1]
[1,6,2,4,5,7,8,3] => [2,5,1]
[8,6,5,2,4,1,7,3] => [1,1,1,2,2,1]
[7,8,5,1,2,4,6,3] => [2,1,4,1]
[7,1,6,4,2,5,8,3] => [1,2,1,3,1]
[1,7,6,5,3,4,8,2] => [2,1,1,3,1]
[8,1,6,4,5,3,7,2] => [1,2,2,2,1]
[8,6,7,5,1,3,4,2] => [1,2,1,3,1]
[7,4,8,5,3,6,2,1] => [1,2,1,2,1,1]
[6,2,5,7,4,3,1,8] => [1,3,1,1,2]
[6,2,5,8,1,7,4,3] => [1,3,2,1,1]
[6,7,5,2,4,3,1,8] => [2,1,2,1,2]
[4,3,8,6,7,5,2,1] => [1,2,2,1,1,1]
[3,6,5,2,4,1,7,8] => [2,1,2,3]
[8,6,5,2,4,3,1,7] => [1,1,1,2,1,2]
[6,8,5,2,4,3,1,7] => [2,1,2,1,2]
[6,2,5,8,4,3,1,7] => [1,3,1,1,2]
[4,7,2,5,6,1,8,3] => [2,3,2,1]
[3,8,1,6,5,2,4,7] => [2,2,1,3]
[3,4,2,8,6,7,1,5] => [2,2,2,2]
[3,7,1,6,2,5,8,4] => [2,2,3,1]
[3,8,4,1,6,2,5,7] => [2,1,2,3]
[3,8,5,2,4,1,6,7] => [2,1,2,3]
[3,4,2,7,6,8,1,5] => [2,2,2,2]
[7,5,2,4,3,1,8,6] => [1,1,2,1,2,1]
[3,8,7,5,2,4,1,6] => [2,1,1,2,2]
[3,8,1,6,2,5,7,4] => [2,2,3,1]
[3,7,4,1,6,2,5,8] => [2,1,2,3]
[3,6,2,5,1,8,7,4] => [2,2,2,1,1]
[3,6,2,5,1,7,4,8] => [2,2,2,2]
[7,6,1,8,5,2,4,3] => [1,1,2,1,2,1]
[4,6,7,2,5,1,8,3] => [3,2,2,1]
[3,6,2,5,1,7,8,4] => [2,2,3,1]
[3,4,2,7,6,1,5,8] => [2,2,1,3]
[3,4,2,8,1,5,7,6] => [2,2,3,1]
[3,4,2,7,8,1,5,6] => [2,3,3]
[3,4,2,6,1,5,7,8] => [2,2,4]
[3,6,2,5,1,8,4,7] => [2,2,2,2]
[8,3,4,7,2,5,1,6] => [1,3,2,2]
[3,8,5,2,4,7,1,6] => [2,1,3,2]
[3,4,2,7,1,5,8,6] => [2,2,3,1]
[3,4,2,8,7,1,5,6] => [2,2,1,3]
[7,3,4,6,5,8,1,2] => [1,3,2,2]
[7,3,6,8,1,4,5,2] => [1,3,3,1]
[6,3,4,1,7,5,2,8] => [1,2,2,1,2]
[3,4,6,7,2,1,8,5] => [4,1,2,1]
[5,7,1,8,6,4,3,2] => [2,2,1,1,1,1]
[5,1,8,6,7,2,4,3] => [1,2,2,2,1]
[6,1,8,5,2,4,7,3] => [1,2,1,3,1]
[7,1,4,2,5,8,6,3] => [1,2,3,1,1]
[7,8,5,1,2,4,3,6] => [2,1,3,2]
[2,5,3,1,4,8,6,7] => [2,1,3,2]
[3,6,1,2,5,4,8,7] => [2,3,2,1]
[5,8,1,4,3,6,7,2] => [2,2,3,1]
[1,7,3,4,6,8,2,5] => [2,4,2]
[7,2,3,8,6,4,1,5] => [1,3,1,1,2]
[5,2,3,8,7,4,1,6] => [1,3,1,1,2]
[6,5,8,2,1,4,3,7] => [1,2,1,2,2]
[5,7,6,3,1,2,4,8] => [2,1,1,4]
[1,4,3,7,2,6,8,5] => [2,2,3,1]
[5,8,6,3,2,4,1,7] => [2,1,1,2,2]
[4,6,2,7,8,1,3,5] => [2,3,3]
[6,2,3,7,1,4,5,8] => [1,3,4]
[4,6,7,8,2,1,3,5] => [4,1,3]
[8,6,3,2,1,7,5,4] => [1,1,1,1,2,1,1]
[5,3,4,1,7,8,2,6] => [1,2,3,2]
[4,8,6,1,2,3,5,7] => [2,1,5]
[6,7,3,5,8,4,1,2] => [2,3,1,2]
[7,5,8,2,3,1,6,4] => [1,2,2,2,1]
[6,5,1,4,8,2,3,7] => [1,1,3,3]
[6,8,1,4,3,2,5,7] => [2,2,1,3]
[6,1,3,4,2,5,8,7] => [1,3,3,1]
[5,1,3,6,2,4,8,7] => [1,3,3,1]
[2,6,1,3,5,7,8,4] => [2,5,1]
[7,8,4,2,3,1,6,5] => [2,1,2,2,1]
[8,6,3,4,2,1,7,5] => [1,1,2,1,2,1]
[1,5,7,6,8,2,4,3] => [3,2,2,1]
[3,7,1,8,5,2,6,4] => [2,2,1,2,1]
[5,7,1,3,8,4,2,6] => [2,3,1,2]
[2,6,1,4,3,7,8,5] => [2,2,3,1]
[1,6,2,4,3,5,8,7] => [2,2,3,1]
[3,8,5,7,6,4,1,2] => [2,2,1,1,2]
[1,8,5,7,6,3,4,2] => [2,2,1,2,1]
[5,8,1,7,6,3,4,2] => [2,2,1,2,1]
[1,7,6,3,8,5,4,2] => [2,1,2,1,1,1]
[5,3,7,6,1,8,4,2] => [1,2,1,2,1,1]
[5,1,7,6,3,8,4,2] => [1,2,1,2,1,1]
[1,5,6,3,7,8,4,2] => [3,3,1,1]
[1,5,7,6,3,8,4,2] => [3,1,2,1,1]
[7,3,5,6,1,8,4,2] => [1,3,2,1,1]
[7,3,6,1,5,8,4,2] => [1,2,3,1,1]
[1,6,3,7,8,5,4,2] => [2,3,1,1,1]
[1,7,8,6,3,5,4,2] => [3,1,2,1,1]
[3,6,1,7,5,8,4,2] => [2,2,2,1,1]
[3,7,5,6,1,8,4,2] => [2,2,2,1,1]
[7,4,5,1,8,3,2,6] => [1,2,2,1,2]
[7,2,1,8,5,4,3,6] => [1,1,2,1,1,2]
[2,7,3,4,6,8,1,5] => [2,4,2]
[5,6,2,8,4,7,3,1] => [2,2,2,1,1]
[5,6,8,2,3,7,4,1] => [3,3,1,1]
[3,1,7,6,8,5,2,4] => [1,2,2,1,2]
[2,7,1,8,6,4,3,5] => [2,2,1,1,2]
[8,4,5,7,1,2,6,3] => [1,3,3,1]
[5,6,8,1,7,3,4,2] => [3,2,2,1]
[8,3,1,5,7,4,6,2] => [1,1,3,2,1]
[8,1,3,4,7,5,6,2] => [1,4,2,1]
[1,4,5,7,8,6,2,3] => [5,1,2]
[2,4,5,8,6,7,3,1] => [4,2,1,1]
[5,7,6,3,4,8,1,2] => [2,1,3,2]
[3,7,5,4,6,1,2,8] => [2,1,2,3]
[5,3,4,7,6,8,1,2] => [1,3,2,2]
[5,3,7,4,6,1,2,8] => [1,2,2,3]
[7,3,5,4,6,1,2,8] => [1,2,2,3]
[7,8,3,5,4,1,2,6] => [2,2,1,3]
[7,3,5,4,1,2,6,8] => [1,2,1,4]
[5,7,6,3,4,1,2,8] => [2,1,2,3]
[3,5,4,1,2,7,6,8] => [2,1,3,2]
[5,7,6,1,3,2,4,8] => [2,1,2,3]
[5,3,4,1,2,7,6,8] => [1,2,3,2]
[7,8,3,1,2,5,4,6] => [2,1,3,2]
[7,8,5,1,3,2,4,6] => [2,1,2,3]
[7,5,6,1,3,2,4,8] => [1,2,2,3]
[7,8,5,1,3,6,2,4] => [2,1,3,2]
[7,8,3,1,5,4,2,6] => [2,1,2,1,2]
[3,5,4,1,7,6,2,8] => [2,1,2,1,2]
[3,5,1,4,7,6,2,8] => [2,3,1,2]
[7,3,8,5,1,4,6,2] => [1,2,1,3,1]
[7,5,1,3,8,6,2,4] => [1,1,3,1,2]
[7,1,3,8,2,5,4,6] => [1,3,2,2]
[7,5,8,6,1,3,2,4] => [1,2,1,2,2]
[5,7,6,8,3,1,4,2] => [2,2,1,2,1]
[3,1,5,4,2,7,6,8] => [1,2,1,2,2]
[3,1,5,4,7,2,6,8] => [1,2,2,3]
[5,7,6,1,3,8,2,4] => [2,1,3,2]
[5,7,6,3,8,1,4,2] => [2,1,2,2,1]
[3,1,5,7,4,2,6,8] => [1,3,1,3]
[3,7,5,4,8,6,1,2] => [2,1,2,1,2]
[5,1,3,7,6,2,4,8] => [1,3,1,3]
[7,1,6,8,2,3,5,4] => [1,3,3,1]
[1,6,3,7,2,4,5,8] => [2,2,4]
[3,8,1,4,7,6,2,5] => [2,3,1,2]
[1,7,3,4,5,2,6,8] => [2,3,3]
[1,6,7,5,4,2,3,8] => [3,1,1,3]
[4,7,8,5,1,3,2,6] => [3,1,2,2]
[4,2,1,8,7,5,3,6] => [1,1,2,1,1,2]
[8,2,5,1,7,4,6,3] => [1,2,2,2,1]
[5,1,4,8,2,3,6,7] => [1,3,4]
[5,3,2,4,8,1,7,6] => [1,1,3,2,1]
[8,2,5,7,4,1,6,3] => [1,3,1,2,1]
[8,7,5,1,6,3,4,2] => [1,1,1,2,2,1]
[7,4,1,3,6,5,8,2] => [1,1,3,2,1]
[4,2,8,5,3,1,6,7] => [1,2,1,1,3]
[6,8,5,3,2,7,1,4] => [2,1,1,2,2]
[8,3,7,2,6,5,1,4] => [1,2,2,1,2]
[4,6,2,7,1,3,8,5] => [2,2,3,1]
[7,2,5,3,6,1,8,4] => [1,2,2,2,1]
[8,2,4,5,6,7,1,3] => [1,5,2]
[3,4,6,5,1,8,7,2] => [3,1,2,1,1]
[3,4,6,5,1,7,2,8] => [3,1,2,2]
[8,7,1,5,3,2,6,4] => [1,1,2,1,2,1]
[3,5,1,4,8,6,7,2] => [2,3,2,1]
[3,5,1,4,7,2,8,6] => [2,3,2,1]
[4,5,1,8,7,3,2,6] => [2,2,1,1,2]
[5,1,4,7,3,2,6,8] => [1,3,1,3]
[5,1,4,8,7,3,2,6] => [1,3,1,1,2]
[7,2,5,3,1,4,8,6] => [1,2,1,3,1]
[7,1,4,8,5,3,2,6] => [1,3,1,1,2]
[3,8,2,6,7,1,5,4] => [2,3,2,1]
[8,3,2,6,7,1,5,4] => [1,1,3,2,1]
[5,2,8,7,3,1,4,6] => [1,2,1,1,3]
[6,7,2,5,3,1,4,8] => [2,2,1,3]
[6,1,3,4,5,2,8,7] => [1,4,2,1]
[6,1,3,4,2,7,8,5] => [1,3,3,1]
[6,5,2,3,1,4,8,7] => [1,1,2,3,1]
[6,1,3,4,8,2,7,5] => [1,4,2,1]
[6,5,2,3,7,8,1,4] => [1,1,4,2]
[8,4,2,7,3,5,1,6] => [1,1,2,2,2]
[1,5,3,8,4,2,7,6] => [2,2,1,2,1]
[7,4,2,6,3,8,1,5] => [1,1,2,2,2]
[8,5,2,7,3,4,1,6] => [1,1,2,2,2]
[5,4,2,1,8,3,7,6] => [1,1,1,2,2,1]
[1,5,3,7,8,2,6,4] => [2,3,2,1]
[3,1,6,4,2,7,8,5] => [1,2,1,3,1]
[3,1,7,4,2,6,8,5] => [1,2,1,3,1]
[3,8,1,4,2,6,7,5] => [2,2,3,1]
[7,4,8,2,3,5,1,6] => [1,2,3,2]
[8,4,5,2,7,3,1,6] => [1,2,2,1,2]
[8,4,1,3,2,6,7,5] => [1,1,2,3,1]
[8,1,7,3,2,5,6,4] => [1,2,1,3,1]
[8,6,5,2,7,3,1,4] => [1,1,1,2,1,2]
[6,4,5,2,1,3,8,7] => [1,2,1,3,1]
[3,4,7,6,2,8,1,5] => [3,1,2,2]
[3,8,5,1,4,6,7,2] => [2,1,4,1]
[3,8,1,7,4,5,6,2] => [2,2,3,1]
[3,1,6,8,4,2,7,5] => [1,3,1,2,1]
[3,1,8,7,4,2,6,5] => [1,2,1,1,2,1]
[3,7,5,6,2,8,1,4] => [2,2,2,2]
[8,4,5,1,3,6,7,2] => [1,2,4,1]
[8,4,5,7,2,3,1,6] => [1,3,2,2]
[8,1,6,7,3,4,5,2] => [1,3,3,1]
[8,1,6,2,4,5,7,3] => [1,2,4,1]
[1,5,6,8,3,2,7,4] => [4,1,2,1]
[7,4,5,6,2,8,1,3] => [1,3,2,2]
[3,1,6,7,2,5,8,4] => [1,3,3,1]
[1,5,2,8,3,6,7,4] => [2,2,3,1]
[5,6,2,3,7,4,1,8] => [2,3,1,2]
[6,2,4,7,3,5,1,8] => [1,3,2,2]
[1,4,8,5,3,6,7,2] => [3,1,3,1]
[2,5,6,3,1,8,4,7] => [3,1,2,2]
[4,5,1,2,7,8,6,3] => [2,4,1,1]
[4,8,5,1,2,6,7,3] => [2,1,4,1]
[4,6,7,5,1,2,8,3] => [3,1,3,1]
[7,2,8,1,4,5,3,6] => [1,2,3,2]
[6,1,4,7,3,8,2,5] => [1,3,2,2]
[7,1,6,3,4,8,2,5] => [1,2,3,2]
[2,8,4,6,3,1,5,7] => [2,2,1,3]
[8,2,6,3,5,1,4,7] => [1,2,2,3]
[3,7,4,1,5,8,2,6] => [2,1,3,2]
[3,8,4,1,7,2,5,6] => [2,1,2,3]
[6,7,5,1,3,8,2,4] => [2,1,3,2]
[8,5,1,3,6,7,2,4] => [1,1,4,2]
[7,8,6,2,4,1,3,5] => [2,1,2,3]
[8,2,4,1,3,6,7,5] => [1,2,4,1]
[8,1,3,6,2,5,7,4] => [1,3,3,1]
[1,5,6,3,8,4,7,2] => [3,2,2,1]
[5,6,1,3,7,2,8,4] => [2,3,2,1]
[5,6,1,8,2,3,7,4] => [2,2,3,1]
[5,6,1,2,8,4,7,3] => [2,3,2,1]
[3,7,8,6,4,1,2,5] => [3,1,1,3]
[5,7,8,3,6,4,2,1] => [3,2,1,1,1]
[5,7,8,1,6,4,2,3] => [3,2,1,2]
[3,7,8,1,6,4,2,5] => [3,2,1,2]
[1,7,8,6,3,4,2,5] => [3,1,2,2]
[3,7,5,8,6,4,2,1] => [2,2,1,1,1,1]
[1,7,3,8,6,4,2,5] => [2,2,1,1,2]
[5,7,1,8,6,4,2,3] => [2,2,1,1,2]
[7,8,1,5,6,4,2,3] => [2,3,1,2]
[7,8,3,5,6,4,2,1] => [2,3,1,1,1]
[7,1,8,5,6,4,2,3] => [1,2,2,1,2]
[7,1,5,8,6,4,2,3] => [1,3,1,1,2]
[7,3,5,8,6,4,2,1] => [1,3,1,1,1,1]
[5,3,7,8,6,4,2,1] => [1,3,1,1,1,1]
[3,1,8,5,6,4,2,7] => [1,2,2,1,2]
[8,3,1,5,6,4,2,7] => [1,1,3,1,2]
[8,1,3,5,6,4,2,7] => [1,4,1,2]
[1,8,3,5,6,4,2,7] => [2,3,1,2]
[1,3,8,5,6,4,2,7] => [3,2,1,2]
[1,3,5,8,6,4,2,7] => [4,1,1,2]
[1,5,7,8,6,4,2,3] => [4,1,1,2]
[1,8,2,6,5,3,4,7] => [2,2,1,3]
[8,6,1,5,2,3,4,7] => [1,1,2,4]
[8,5,1,6,2,3,4,7] => [1,1,2,4]
[7,6,1,2,3,8,4,5] => [1,1,4,2]
[2,7,8,4,1,3,5,6] => [3,1,4]
[6,8,1,2,3,7,4,5] => [2,4,2]
[8,1,5,4,2,3,7,6] => [1,2,1,3,1]
[7,5,2,3,1,8,4,6] => [1,1,2,2,2]
[8,1,3,5,6,7,2,4] => [1,5,2]
[8,1,2,5,3,4,7,6] => [1,3,3,1]
[8,1,5,6,4,2,7,3] => [1,3,1,2,1]
[2,7,3,5,8,4,1,6] => [2,3,1,2]
[3,7,6,2,5,8,4,1] => [2,1,3,1,1]
[5,2,7,3,4,8,1,6] => [1,2,3,2]
[8,6,4,7,3,5,2,1] => [1,1,2,2,1,1]
[4,7,2,3,5,8,1,6] => [2,4,2]
[2,5,8,3,6,4,1,7] => [3,2,1,2]
[7,4,2,1,5,3,8,6] => [1,1,1,2,2,1]
[7,4,6,8,2,3,5,1] => [1,3,3,1]
[3,6,8,7,1,2,4,5] => [3,1,4]
[3,2,7,1,5,6,4,8] => [1,2,3,2]
[4,8,7,1,6,5,2,3] => [2,1,2,1,2]
[4,2,1,6,5,7,8,3] => [1,1,2,3,1]
[4,3,1,5,6,7,2,8] => [1,1,4,2]
[4,5,8,2,6,3,7,1] => [3,2,2,1]
[5,2,1,4,7,3,6,8] => [1,1,3,3]
[2,7,5,4,1,3,6,8] => [2,1,1,4]
[3,7,4,5,6,1,2,8] => [2,3,3]
[2,7,4,6,5,1,8,3] => [2,2,1,2,1]
[2,3,7,4,5,1,6,8] => [3,2,3]
[6,7,3,1,2,8,5,4] => [2,1,3,1,1]
[6,8,7,5,2,1,4,3] => [2,1,1,1,2,1]
[7,8,2,6,3,1,4,5] => [2,2,1,3]
[2,8,6,3,5,1,4,7] => [2,1,2,3]
[7,2,6,3,1,4,5,8] => [1,2,1,4]
[7,8,6,4,1,5,2,3] => [2,1,1,2,2]
[2,7,6,5,3,4,1,8] => [2,1,1,2,2]
[8,2,6,4,5,3,1,7] => [1,2,2,1,2]
[8,7,2,6,4,3,1,5] => [1,1,2,1,1,2]
[1,2,8,6,4,5,3,7] => [3,1,2,2]
[1,5,8,7,6,3,4,2] => [3,1,1,2,1]
[1,4,6,8,5,3,2,7] => [4,1,1,2]
[1,4,7,8,5,6,3,2] => [4,2,1,1]
[1,2,5,8,6,4,7,3] => [4,1,2,1]
[1,8,6,7,2,3,5,4] => [2,2,3,1]
[1,4,8,5,6,3,2,7] => [3,2,1,2]
[1,6,4,8,5,7,3,2] => [2,2,2,1,1]
[1,7,3,2,6,8,5,4] => [2,1,3,1,1]
[1,7,3,6,4,2,5,8] => [2,2,1,3]
[1,6,8,5,2,7,3,4] => [3,1,2,2]
[1,6,8,5,4,2,3,7] => [3,1,1,3]
[1,6,3,2,4,5,8,7] => [2,1,4,1]
[1,7,4,5,8,6,2,3] => [2,3,1,2]
[1,2,8,6,5,3,4,7] => [3,1,1,3]
[1,3,6,7,2,8,5,4] => [4,2,1,1]
[1,8,5,2,6,7,3,4] => [2,1,3,2]
[1,3,4,8,5,2,7,6] => [4,1,2,1]
[1,3,8,5,2,4,7,6] => [3,1,3,1]
[3,5,8,7,6,2,4,1] => [3,1,1,2,1]
[3,1,5,4,6,8,7,2] => [1,2,3,1,1]
[3,1,6,4,2,5,8,7] => [1,2,1,3,1]
[3,6,1,4,5,7,8,2] => [2,5,1]
[5,7,8,2,4,6,1,3] => [3,3,2]
[5,4,2,3,6,8,1,7] => [1,1,4,2]
[3,8,1,6,4,2,5,7] => [2,2,1,3]
[7,3,2,1,8,6,4,5] => [1,1,1,2,1,2]
[8,7,2,4,1,3,6,5] => [1,1,2,3,1]
[8,2,6,3,5,7,1,4] => [1,2,3,2]
[3,1,7,8,6,2,5,4] => [1,3,1,2,1]
[5,6,1,8,3,7,2,4] => [2,2,2,2]
[2,8,1,6,5,3,7,4] => [2,2,1,2,1]
[2,1,5,7,6,3,8,4] => [1,3,1,2,1]
[4,3,5,1,7,8,6,2] => [1,2,3,1,1]
[1,8,5,2,3,4,7,6] => [2,1,4,1]
[1,5,8,2,3,4,7,6] => [3,4,1]
[1,2,7,8,4,5,6,3] => [4,3,1]
[4,3,8,7,6,2,5,1] => [1,2,1,1,2,1]
[5,4,8,2,7,6,3,1] => [1,2,2,1,1,1]
[2,3,6,4,1,7,5,8] => [3,1,2,2]
[2,3,6,1,7,5,8,4] => [3,2,2,1]
[3,6,4,2,1,5,7,8] => [2,1,1,4]
[4,6,5,2,1,7,8,3] => [2,1,1,3,1]
[4,6,1,7,5,8,3,2] => [2,2,2,1,1]
[4,1,5,7,6,8,3,2] => [1,3,2,1,1]
[3,5,6,2,1,4,7,8] => [3,1,4]
[4,3,6,5,1,7,8,2] => [1,2,1,3,1]
[3,6,4,5,2,1,7,8] => [2,2,1,3]
[3,5,6,4,2,8,1,7] => [3,1,2,2]
[4,6,5,3,1,7,8,2] => [2,1,1,3,1]
[5,8,1,4,2,3,6,7] => [2,2,4]
[4,5,8,2,3,1,6,7] => [3,2,3]
[3,5,4,8,1,7,2,6] => [2,2,2,2]
[5,3,6,8,1,4,7,2] => [1,3,3,1]
[3,5,1,8,6,4,7,2] => [2,2,1,2,1]
[4,7,2,8,3,1,6,5] => [2,2,1,2,1]
[1,2,5,6,8,3,7,4] => [5,2,1]
[5,3,8,4,6,2,7,1] => [1,2,2,2,1]
[7,4,8,1,5,2,6,3] => [1,2,2,2,1]
[8,3,2,1,6,5,7,4] => [1,1,1,2,2,1]
[4,1,5,6,8,7,2,3] => [1,4,1,2]
[1,2,5,6,8,4,7,3] => [5,2,1]
[1,5,6,8,4,7,2,3] => [4,2,2]
[5,6,8,1,2,4,7,3] => [3,4,1]
[6,8,1,4,5,7,2,3] => [2,4,2]
[4,3,5,1,8,6,7,2] => [1,2,2,2,1]
[1,3,5,6,8,4,7,2] => [5,2,1]
[5,6,8,2,3,4,7,1] => [3,4,1]
[6,5,1,2,4,8,7,3] => [1,1,4,1,1]
[5,8,7,2,1,3,6,4] => [2,1,1,3,1]
[5,1,7,2,8,6,3,4] => [1,2,2,1,2]
[6,1,5,3,4,8,7,2] => [1,2,3,1,1]
[5,8,6,3,2,1,4,7] => [2,1,1,1,3]
[8,7,1,6,3,5,4,2] => [1,1,2,2,1,1]
[3,2,1,7,8,6,4,5] => [1,1,3,1,2]
[8,6,7,1,2,5,3,4] => [1,2,3,2]
[1,5,6,4,2,8,7,3] => [3,1,2,1,1]
[7,5,1,4,8,2,3,6] => [1,1,3,3]
[3,2,8,1,7,5,6,4] => [1,2,2,2,1]
[8,4,3,1,7,5,6,2] => [1,1,1,2,2,1]
[6,1,7,8,4,2,3,5] => [1,3,1,3]
[7,4,3,1,8,5,2,6] => [1,1,1,2,1,2]
[7,8,1,6,3,4,5,2] => [2,2,3,1]
[6,8,1,7,3,4,2,5] => [2,2,2,2]
[4,6,5,3,8,2,7,1] => [2,1,2,2,1]
[4,5,6,3,8,1,7,2] => [3,2,2,1]
[1,3,7,6,4,5,8,2] => [3,1,3,1]
[3,2,5,8,4,7,6,1] => [1,3,2,1,1]
[1,4,5,3,8,6,2,7] => [3,2,1,2]
[1,3,5,8,4,7,6,2] => [4,2,1,1]
[1,4,2,6,7,5,8,3] => [2,3,2,1]
[7,8,3,5,2,1,6,4] => [2,2,1,2,1]
[7,8,6,3,5,2,4,1] => [2,1,2,2,1]
[6,3,7,5,2,4,1,8] => [1,2,1,2,2]
[1,8,2,4,5,7,3,6] => [2,4,2]
[6,2,4,5,7,3,1,8] => [1,4,1,2]
[7,8,2,4,6,5,3,1] => [2,3,1,1,1]
[7,8,1,5,6,4,3,2] => [2,3,1,1,1]
[6,1,7,4,5,3,2,8] => [1,2,2,1,2]
[6,3,7,5,1,4,2,8] => [1,2,1,2,2]
[3,8,5,7,4,2,1,6] => [2,2,1,1,2]
[2,8,3,7,5,1,4,6] => [2,2,1,3]
[2,8,5,4,7,3,6,1] => [2,1,2,2,1]
[5,3,1,2,6,7,4,8] => [1,1,4,2]
[1,3,8,2,4,6,7,5] => [3,4,1]
[6,1,7,3,4,2,5,8] => [1,2,2,3]
[6,4,7,2,1,3,5,8] => [1,2,1,4]
[4,8,3,6,7,2,1,5] => [2,3,1,2]
[4,3,7,8,6,2,1,5] => [1,3,1,1,2]
[3,8,5,4,7,2,6,1] => [2,1,2,2,1]
[4,8,5,3,7,1,6,2] => [2,1,2,2,1]
[3,8,2,6,5,7,4,1] => [2,2,2,1,1]
[3,1,7,2,5,8,6,4] => [1,2,3,1,1]
[4,3,7,8,1,6,5,2] => [1,3,2,1,1]
[2,8,7,6,3,5,1,4] => [2,1,1,2,2]
[2,8,4,7,6,5,1,3] => [2,2,1,1,2]
[2,8,7,1,5,6,4,3] => [2,1,3,1,1]
[3,5,6,2,8,1,7,4] => [3,2,2,1]
[5,3,1,8,6,2,7,4] => [1,1,2,1,2,1]
[3,1,4,6,8,2,7,5] => [1,4,2,1]
[4,1,5,7,3,8,2,6] => [1,3,2,2]
[6,2,5,8,4,7,3,1] => [1,3,2,1,1]
[7,2,8,5,4,3,6,1] => [1,2,1,1,2,1]
[7,1,6,8,2,5,3,4] => [1,3,2,2]
[2,6,5,7,8,4,1,3] => [2,3,1,2]
[3,6,5,7,4,1,8,2] => [2,2,1,2,1]
[1,6,5,7,4,2,3,8] => [2,2,1,3]
[3,4,7,5,2,1,8,6] => [3,1,1,2,1]
[3,6,7,5,8,4,1,2] => [3,2,1,2]
[3,4,7,2,5,6,8,1] => [3,4,1]
[2,5,3,7,8,6,4,1] => [2,3,1,1,1]
[7,2,8,4,5,6,3,1] => [1,2,3,1,1]
[6,2,3,8,5,4,7,1] => [1,3,1,2,1]
[5,1,4,7,8,6,3,2] => [1,4,1,1,1]
[5,7,8,6,4,1,3,2] => [3,1,1,2,1]
[6,8,7,3,2,4,5,1] => [2,1,1,3,1]
[5,1,4,8,6,7,3,2] => [1,3,2,1,1]
[3,8,6,1,4,5,7,2] => [2,1,4,1]
[2,7,4,1,3,8,5,6] => [2,1,3,2]
[6,1,4,8,5,7,2,3] => [1,3,2,2]
[2,8,5,1,4,6,7,3] => [2,1,4,1]
[2,3,1,6,5,8,4,7] => [2,2,2,2]
[7,5,8,6,4,1,3,2] => [1,2,1,1,2,1]
[2,8,5,6,4,1,3,7] => [2,2,1,3]
[2,8,5,1,4,6,3,7] => [2,1,3,2]
[2,7,6,3,8,5,1,4] => [2,1,2,1,2]
[2,6,3,7,8,5,1,4] => [2,3,1,2]
[2,3,1,7,8,4,6,5] => [2,3,2,1]
[2,3,1,8,4,6,5,7] => [2,2,2,2]
[2,3,1,7,6,8,4,5] => [2,2,2,2]
[2,3,1,8,4,6,7,5] => [2,2,3,1]
[2,7,3,6,8,5,1,4] => [2,3,1,2]
[5,2,3,1,8,4,6,7] => [1,2,2,3]
[4,2,3,5,1,8,6,7] => [1,3,2,2]
[5,8,7,2,6,4,1,3] => [2,1,2,1,2]
[5,8,7,3,6,2,1,4] => [2,1,2,1,2]
[6,8,5,1,7,4,3,2] => [2,1,2,1,1,1]
[6,8,5,2,7,4,1,3] => [2,1,2,1,2]
[6,8,5,3,7,1,4,2] => [2,1,2,2,1]
[6,8,5,4,1,7,3,2] => [2,1,1,2,1,1]
[7,3,8,6,5,2,1,4] => [1,2,1,1,1,2]
[7,4,8,6,3,2,1,5] => [1,2,1,1,1,2]
[7,5,8,1,6,4,3,2] => [1,2,2,1,1,1]
[7,5,8,2,6,4,1,3] => [1,2,2,1,2]
[7,6,2,8,5,4,1,3] => [1,1,2,1,1,2]
[6,5,4,2,1,8,7,3] => [1,1,1,1,2,1,1]
[6,5,4,2,8,1,7,3] => [1,1,1,2,2,1]
[6,3,2,8,1,7,5,4] => [1,1,2,2,1,1]
[2,6,8,7,1,3,5,4] => [3,1,3,1]
[5,3,8,7,6,2,1,4] => [1,2,1,1,1,2]
[3,7,6,1,4,5,2,8] => [2,1,3,2]
[4,1,6,2,7,5,3,8] => [1,2,2,1,2]
[7,6,2,5,3,1,4,8] => [1,1,2,1,3]
[4,3,1,7,6,2,5,8] => [1,1,2,1,3]
[4,5,3,1,2,8,6,7] => [2,1,3,2]
[2,4,5,3,1,8,6,7] => [3,1,2,2]
[5,7,6,2,3,1,4,8] => [2,1,2,3]
[4,1,3,7,5,2,6,8] => [1,3,1,3]
[4,1,6,3,2,7,5,8] => [1,2,1,2,2]
[7,5,4,1,3,2,6,8] => [1,1,1,2,3]
[2,4,8,5,6,3,1,7] => [3,2,1,2]
[2,5,7,4,1,3,6,8] => [3,1,4]
[5,7,4,1,3,2,6,8] => [2,1,2,3]
[2,6,8,4,5,3,1,7] => [3,2,1,2]
[5,2,3,7,4,1,6,8] => [1,3,1,3]
[4,5,1,6,3,2,7,8] => [2,2,1,3]
[5,1,6,3,2,4,7,8] => [1,2,1,4]
[4,2,5,1,6,3,7,8] => [1,2,2,3]
[5,1,6,2,4,3,7,8] => [1,2,2,3]
[3,5,4,2,1,8,6,7] => [2,1,1,2,2]
[5,3,4,8,7,6,2,1] => [1,3,1,1,1,1]
[8,3,1,6,7,5,4,2] => [1,1,3,1,1,1]
[8,4,6,5,7,2,3,1] => [1,2,2,2,1]
[1,8,2,6,7,4,5,3] => [2,3,2,1]
[8,5,7,2,4,3,6,1] => [1,2,2,2,1]
[8,5,3,6,4,7,2,1] => [1,1,2,2,1,1]
[8,2,5,3,6,7,4,1] => [1,2,3,1,1]
[1,2,8,3,4,7,6,5] => [3,3,1,1]
[6,8,5,2,7,1,3,4] => [2,1,2,3]
[1,5,7,2,6,8,4,3] => [3,3,1,1]
[7,6,4,5,2,1,8,3] => [1,1,2,1,2,1]
[8,2,4,7,6,3,1,5] => [1,3,1,1,2]
[8,7,5,1,4,6,3,2] => [1,1,1,3,1,1]
[7,3,8,5,4,2,1,6] => [1,2,1,1,1,2]
[6,3,4,7,2,8,5,1] => [1,3,2,1,1]
[8,1,7,3,6,4,2,5] => [1,2,2,1,2]
[7,1,8,5,3,4,2,6] => [1,2,1,2,2]
[6,8,4,3,1,5,2,7] => [2,1,1,2,2]
[5,6,4,1,8,2,3,7] => [2,1,2,3]
[1,4,5,8,3,2,6,7] => [4,1,3]
[1,5,2,4,7,8,6,3] => [2,4,1,1]
[5,2,7,4,3,8,6,1] => [1,2,1,2,1,1]
[2,7,3,4,8,5,6,1] => [2,3,2,1]
[2,7,6,8,3,5,4,1] => [2,2,2,1,1]
[2,7,4,5,3,8,6,1] => [2,2,2,1,1]
[4,6,7,3,1,2,8,5] => [3,1,3,1]
[6,2,3,7,4,5,8,1] => [1,3,3,1]
[1,6,3,2,7,5,8,4] => [2,1,2,2,1]
[7,3,5,2,6,8,1,4] => [1,2,3,2]
[6,4,2,7,1,5,8,3] => [1,1,2,3,1]
[2,5,3,6,4,7,8,1] => [2,2,3,1]
[4,2,5,3,6,7,8,1] => [1,2,4,1]
[1,6,5,2,4,7,3,8] => [2,1,3,2]
[1,8,7,2,4,6,3,5] => [2,1,3,2]
[1,8,7,2,5,4,3,6] => [2,1,2,1,2]
[1,5,4,2,7,3,6,8] => [2,1,2,3]
[1,5,4,2,8,7,3,6] => [2,1,2,1,2]
[1,6,8,3,5,2,4,7] => [3,2,3]
[1,7,6,2,3,5,8,4] => [2,1,4,1]
[1,2,8,3,6,5,4,7] => [3,2,1,2]
[1,3,8,6,5,2,4,7] => [3,1,1,3]
[1,4,7,3,2,8,6,5] => [3,1,2,1,1]
[1,8,6,5,2,4,7,3] => [2,1,1,3,1]
[1,6,8,4,3,2,5,7] => [3,1,1,3]
[1,7,5,3,2,6,4,8] => [2,1,1,2,2]
[1,2,6,5,3,8,4,7] => [3,1,2,2]
[1,7,3,2,8,4,6,5] => [2,1,2,2,1]
[1,6,5,2,8,4,7,3] => [2,1,2,2,1]
[1,8,3,7,2,4,6,5] => [2,2,3,1]
[5,4,2,8,7,6,1,3] => [1,1,2,1,1,2]
[8,6,3,2,5,7,4,1] => [1,1,1,3,1,1]
[7,3,2,1,6,5,8,4] => [1,1,1,2,2,1]
[7,3,2,6,1,5,8,4] => [1,1,2,3,1]
[6,8,5,2,7,1,4,3] => [2,1,2,2,1]
[6,8,2,5,1,7,4,3] => [2,2,2,1,1]
[6,7,5,2,8,1,3,4] => [2,1,2,3]
[5,8,1,2,6,7,4,3] => [2,4,1,1]
[6,8,5,7,2,1,4,3] => [2,2,1,2,1]
[6,5,8,2,7,4,1,3] => [1,2,2,1,2]
[6,2,5,7,3,1,8,4] => [1,3,1,2,1]
[8,4,6,5,3,2,7,1] => [1,2,1,1,2,1]
[6,2,1,7,5,8,4,3] => [1,1,2,2,1,1]
[8,6,3,1,5,2,7,4] => [1,1,1,2,2,1]
[1,6,4,8,5,3,7,2] => [2,2,1,2,1]
[2,8,1,6,5,4,7,3] => [2,2,1,2,1]
[3,5,6,2,8,7,1,4] => [3,2,1,2]
[8,2,7,5,1,3,6,4] => [1,2,1,3,1]
[5,2,8,6,1,3,7,4] => [1,2,1,3,1]
[5,2,3,8,6,1,7,4] => [1,3,1,2,1]
[1,6,5,3,4,7,8,2] => [2,1,4,1]
[2,5,1,7,6,4,8,3] => [2,2,1,2,1]
[4,2,6,7,8,1,3,5] => [1,4,3]
[4,6,5,1,3,7,8,2] => [2,1,4,1]
[5,1,8,3,6,2,7,4] => [1,2,2,2,1]
[5,1,7,2,6,4,8,3] => [1,2,2,2,1]
[7,4,5,2,6,3,8,1] => [1,2,2,2,1]
[2,5,1,8,7,6,4,3] => [2,2,1,1,1,1]
[4,7,6,1,3,5,8,2] => [2,1,4,1]
[4,2,5,7,6,8,1,3] => [1,3,2,2]
[4,1,7,6,2,5,8,3] => [1,2,1,3,1]
[4,1,7,6,5,8,2,3] => [1,2,1,2,2]
[8,2,7,5,6,3,1,4] => [1,2,2,1,2]
[6,5,4,1,3,7,8,2] => [1,1,1,4,1]
[5,2,1,7,6,4,8,3] => [1,1,2,1,2,1]
[4,2,3,6,7,8,1,5] => [1,5,2]
[4,7,2,1,6,5,8,3] => [2,1,2,2,1]
[2,7,6,4,1,5,8,3] => [2,1,1,3,1]
[2,4,3,6,7,8,1,5] => [2,4,2]
[5,4,1,7,2,8,3,6] => [1,1,2,2,2]
[6,8,5,2,7,3,1,4] => [2,1,2,1,2]
[6,7,5,2,8,3,1,4] => [2,1,2,1,2]
[4,1,7,6,8,2,3,5] => [1,2,2,3]
[7,5,2,4,1,8,3,6] => [1,1,2,2,2]
[5,2,1,3,7,8,4,6] => [1,1,4,2]
[8,4,2,6,1,7,3,5] => [1,1,2,2,2]
[8,5,1,7,6,2,4,3] => [1,1,2,1,2,1]
[7,2,1,3,8,4,5,6] => [1,1,3,3]
[7,1,2,8,5,4,6,3] => [1,3,1,2,1]
[8,2,1,6,3,7,4,5] => [1,1,2,2,2]
[7,1,6,8,2,4,3,5] => [1,3,2,2]
[4,8,1,7,3,2,6,5] => [2,2,1,2,1]
[4,7,1,8,3,2,6,5] => [2,2,1,2,1]
[7,8,5,2,6,3,1,4] => [2,1,2,1,2]
[5,1,8,6,7,4,2,3] => [1,2,2,1,2]
[5,1,7,2,6,8,3,4] => [1,2,3,2]
[4,7,1,6,3,8,2,5] => [2,2,2,2]
[6,5,1,3,7,8,2,4] => [1,1,4,2]
[7,2,1,4,3,5,8,6] => [1,1,2,3,1]
[6,1,2,7,4,8,3,5] => [1,3,2,2]
[7,1,2,5,4,3,8,6] => [1,3,1,2,1]
[7,2,1,3,5,4,8,6] => [1,1,3,2,1]
[4,1,2,8,6,5,7,3] => [1,3,1,2,1]
[4,1,2,6,8,7,3,5] => [1,4,1,2]
[5,1,2,7,8,6,3,4] => [1,4,1,2]
[7,6,2,3,5,1,8,4] => [1,1,3,2,1]
[6,1,2,4,3,7,8,5] => [1,3,3,1]
[8,1,5,4,2,3,6,7] => [1,2,1,4]
[7,1,2,4,6,3,8,5] => [1,4,2,1]
[7,1,2,6,5,3,8,4] => [1,3,1,2,1]
[7,5,6,1,2,4,8,3] => [1,2,4,1]
[7,1,4,5,2,3,6,8] => [1,3,4]
[6,1,4,8,7,2,3,5] => [1,3,1,3]
[6,1,8,5,7,2,3,4] => [1,2,2,3]
[1,6,7,5,8,3,4,2] => [3,2,2,1]
[6,1,7,5,8,2,3,4] => [1,2,2,3]
[6,1,4,7,8,2,3,5] => [1,4,3]
[8,1,2,3,7,5,4,6] => [1,4,1,2]
[5,8,6,1,2,4,7,3] => [2,1,4,1]
[1,6,8,7,5,3,4,2] => [3,1,1,2,1]
[6,1,8,7,5,2,3,4] => [1,2,1,1,3]
[8,3,1,2,4,6,5,7] => [1,1,4,2]
[8,3,1,2,4,5,7,6] => [1,1,5,1]
[6,3,1,2,4,7,5,8] => [1,1,4,2]
[6,7,1,4,2,3,5,8] => [2,2,4]
[6,1,7,4,8,2,3,5] => [1,2,2,3]
[6,7,8,5,1,2,4,3] => [3,1,3,1]
[4,3,8,5,6,2,7,1] => [1,2,2,2,1]
[4,3,8,6,7,2,5,1] => [1,2,2,2,1]
[7,6,8,1,5,3,4,2] => [1,2,2,2,1]
[7,4,6,1,5,3,8,2] => [1,2,2,2,1]
[6,1,8,3,7,4,5,2] => [1,2,2,2,1]
[6,3,8,1,7,2,5,4] => [1,2,2,2,1]
[8,3,4,2,7,1,6,5] => [1,2,2,2,1]
[7,2,3,1,5,4,8,6] => [1,2,2,2,1]
[6,1,5,4,8,2,7,3] => [1,2,2,2,1]
[6,1,8,5,7,3,4,2] => [1,2,2,2,1]
[6,2,5,4,7,1,8,3] => [1,2,2,2,1]
[2,6,3,4,8,7,5,1] => [2,3,1,1,1]
[2,7,4,5,1,8,3,6] => [2,2,2,2]
[8,4,5,7,6,1,2,3] => [1,3,1,3]
[8,4,5,7,1,3,6,2] => [1,3,3,1]
[8,1,3,4,6,7,5,2] => [1,5,1,1]
[8,7,6,2,3,5,4,1] => [1,1,1,3,1,1]
[8,3,6,7,5,1,2,4] => [1,3,1,3]
[8,2,1,6,5,7,4,3] => [1,1,2,2,1,1]
[2,7,1,8,5,6,4,3] => [2,2,2,1,1]
[2,7,8,6,1,5,3,4] => [3,1,2,2]
[4,6,8,2,3,5,1,7] => [3,3,2]
[6,8,2,1,3,5,4,7] => [2,1,3,2]
[3,5,1,6,4,8,2,7] => [2,2,2,2]
[3,5,8,6,2,1,4,7] => [3,1,1,3]
[2,4,8,5,6,1,3,7] => [3,2,3]
[4,8,2,5,6,1,3,7] => [2,3,3]
[5,3,8,4,2,7,6,1] => [1,2,1,2,1,1]
[2,8,5,3,1,4,7,6] => [2,1,1,3,1]
[1,7,8,4,6,3,2,5] => [3,2,1,2]
[8,7,2,4,6,3,1,5] => [1,1,3,1,2]
[8,7,3,2,1,6,4,5] => [1,1,1,1,2,2]
[7,8,3,4,6,5,2,1] => [2,3,1,1,1]
[8,7,3,6,5,2,4,1] => [1,1,2,1,2,1]
[3,1,2,8,6,5,7,4] => [1,3,1,2,1]
[3,8,2,7,5,4,6,1] => [2,2,1,2,1]
[8,7,1,4,5,3,6,2] => [1,1,3,2,1]
[2,8,7,4,6,3,5,1] => [2,1,2,2,1]
[2,8,7,4,6,3,1,5] => [2,1,2,1,2]
[8,3,4,1,2,5,7,6] => [1,2,4,1]
[8,4,1,3,2,5,7,6] => [1,1,2,3,1]
[7,3,8,6,2,1,4,5] => [1,2,1,1,3]
[7,2,8,4,6,5,1,3] => [1,2,2,1,2]
[5,8,6,4,7,2,3,1] => [2,1,2,2,1]
[4,7,2,6,5,8,3,1] => [2,2,2,1,1]
[3,6,8,5,7,4,2,1] => [3,2,1,1,1]
[6,7,5,2,4,8,3,1] => [2,1,3,1,1]
[8,1,2,7,5,6,3,4] => [1,3,2,2]
[8,2,7,3,4,6,1,5] => [1,2,3,2]
[6,7,5,4,8,1,3,2] => [2,1,2,2,1]
[8,3,5,6,4,7,2,1] => [1,3,2,1,1]
[8,5,6,2,4,3,7,1] => [1,2,2,2,1]
[6,5,8,1,3,4,2,7] => [1,2,3,2]
[6,8,4,5,1,3,2,7] => [2,2,2,2]
[6,4,8,7,5,3,2,1] => [1,2,1,1,1,1,1]
[6,7,1,4,3,2,8,5] => [2,2,1,2,1]
[7,2,5,1,4,8,3,6] => [1,2,3,2]
[5,8,1,3,4,2,7,6] => [2,3,2,1]
[1,5,6,3,2,8,7,4] => [3,1,2,1,1]
[1,3,7,6,8,4,2,5] => [3,2,1,2]
[1,6,7,3,2,8,5,4] => [3,1,2,1,1]
[3,2,7,6,8,4,5,1] => [1,2,2,2,1]
[1,3,8,5,2,7,6,4] => [3,1,2,1,1]
[6,4,1,5,2,8,7,3] => [1,1,2,2,1,1]
[7,6,5,3,1,8,2,4] => [1,1,1,1,2,2]
[2,5,1,4,7,3,6,8] => [2,3,3]
[3,1,6,5,7,2,4,8] => [1,2,2,3]
[2,6,1,5,7,4,8,3] => [2,3,2,1]
[2,5,7,1,6,3,8,4] => [3,2,2,1]
[2,6,1,5,7,4,3,8] => [2,3,1,2]
[3,1,6,5,2,4,7,8] => [1,2,1,4]
[3,6,5,1,4,2,7,8] => [2,1,2,3]
[3,6,5,1,7,2,4,8] => [2,1,2,3]
[3,6,5,2,1,4,7,8] => [2,1,1,4]
[5,4,3,6,1,7,2,8] => [1,1,2,2,2]
[4,5,2,7,6,1,3,8] => [2,2,1,3]
[4,6,5,3,1,2,7,8] => [2,1,1,4]
[5,4,1,6,3,7,2,8] => [1,1,2,2,2]
[5,4,2,6,3,7,8,1] => [1,1,2,3,1]
[3,6,5,7,1,4,2,8] => [2,2,2,2]
[3,6,5,1,4,7,2,8] => [2,1,3,2]
[4,3,6,5,7,1,2,8] => [1,2,2,3]
[4,2,6,5,1,3,7,8] => [1,2,1,4]
[4,1,6,5,3,7,8,2] => [1,2,1,3,1]
[4,2,5,7,6,1,3,8] => [1,3,1,3]
[3,4,7,6,1,2,5,8] => [3,1,4]
[4,2,5,7,6,3,8,1] => [1,3,1,2,1]
[4,1,6,5,2,7,3,8] => [1,2,1,2,2]
[3,6,5,7,2,1,4,8] => [2,2,1,3]
[3,5,7,6,2,4,1,8] => [3,1,2,2]
[5,4,2,6,3,7,1,8] => [1,1,2,2,2]
[4,6,5,2,7,3,1,8] => [2,1,2,1,2]
[4,6,5,2,1,7,3,8] => [2,1,1,2,2]
[3,5,8,2,1,4,6,7] => [3,1,4]
[3,5,8,2,4,6,7,1] => [3,4,1]
[5,3,8,2,1,4,6,7] => [1,2,1,4]
[5,3,1,8,2,4,6,7] => [1,1,2,4]
[5,1,3,8,2,4,6,7] => [1,3,4]
[1,5,8,4,2,3,6,7] => [3,1,4]
[5,8,2,1,4,3,6,7] => [2,1,2,3]
[5,8,2,4,1,6,7,3] => [2,2,3,1]
[5,8,2,4,6,3,1,7] => [2,3,1,2]
[5,8,2,4,3,6,1,7] => [2,2,2,2]
[5,8,1,4,6,2,3,7] => [2,3,3]
[1,5,8,4,6,7,2,3] => [3,3,2]
[5,1,8,4,6,7,2,3] => [1,2,3,2]
[5,8,2,4,6,3,7,1] => [2,3,2,1]
[3,8,4,6,7,2,1,5] => [2,3,1,2]
[3,8,4,6,7,2,5,1] => [2,3,2,1]
[8,4,3,6,7,2,5,1] => [1,1,3,2,1]
[8,4,3,6,7,2,1,5] => [1,1,3,1,2]
[8,6,2,4,5,3,7,1] => [1,1,3,2,1]
[1,8,6,4,5,7,2,3] => [2,1,3,2]
[8,6,2,4,5,3,1,7] => [1,1,3,1,2]
[1,8,6,4,2,3,5,7] => [2,1,1,4]
[3,8,1,6,2,4,5,7] => [2,2,4]
[3,8,6,2,1,4,5,7] => [2,1,1,4]
[3,8,6,2,4,1,5,7] => [2,1,2,3]
[3,8,6,2,4,5,7,1] => [2,1,4,1]
[8,3,6,2,4,5,1,7] => [1,2,3,2]
[8,1,3,6,2,4,5,7] => [1,3,4]
[8,3,6,7,2,1,4,5] => [1,3,1,3]
[3,8,6,7,2,1,4,5] => [2,2,1,3]
[8,2,6,4,5,1,7,3] => [1,2,2,2,1]
[1,8,4,6,7,5,2,3] => [2,3,1,2]
[8,4,6,2,3,7,5,1] => [1,2,3,1,1]
[8,4,7,2,1,3,6,5] => [1,2,1,3,1]
[8,3,1,7,2,4,6,5] => [1,1,2,3,1]
[2,7,1,6,3,5,8,4] => [2,2,3,1]
[1,8,4,2,6,3,7,5] => [2,1,2,2,1]
[8,4,2,1,5,3,7,6] => [1,1,1,2,2,1]
[8,2,1,4,7,3,6,5] => [1,1,3,2,1]
[8,4,3,1,5,7,2,6] => [1,1,1,3,2]
[8,4,2,1,5,7,3,6] => [1,1,1,3,2]
[1,6,2,5,8,4,7,3] => [2,3,2,1]
[4,7,2,1,6,8,3,5] => [2,1,3,2]
[1,7,4,2,6,8,3,5] => [2,1,3,2]
[3,1,8,4,6,7,2,5] => [1,2,3,2]
[4,3,1,8,5,6,2,7] => [1,1,2,2,2]
[3,2,1,7,4,5,8,6] => [1,1,2,3,1]
[4,2,1,7,5,3,8,6] => [1,1,2,1,2,1]
[5,2,1,8,6,3,4,7] => [1,1,2,1,3]
[3,2,7,6,1,4,8,5] => [1,2,1,3,1]
[3,2,8,6,1,4,7,5] => [1,2,1,3,1]
[3,8,7,2,1,5,6,4] => [2,1,1,3,1]
[2,6,8,5,1,7,4,3] => [3,1,2,1,1]
[3,2,6,8,1,4,7,5] => [1,3,3,1]
[2,1,5,8,7,3,6,4] => [1,3,1,2,1]
[4,2,1,6,7,3,8,5] => [1,1,3,2,1]
[3,2,1,6,7,4,8,5] => [1,1,3,2,1]
[4,3,1,7,8,5,2,6] => [1,1,3,1,2]
[3,1,5,2,6,8,7,4] => [1,2,3,1,1]
[2,6,5,1,7,4,3,8] => [2,1,2,1,2]
[7,2,3,1,4,8,5,6] => [1,2,3,2]
[5,6,8,2,4,3,7,1] => [3,2,2,1]
[6,8,5,1,4,2,7,3] => [2,1,2,2,1]
[3,5,8,6,4,1,7,2] => [3,1,1,2,1]
[5,1,7,6,4,2,3,8] => [1,2,1,1,3]
[1,4,3,6,8,2,7,5] => [2,3,2,1]
[5,1,8,6,4,2,3,7] => [1,2,1,1,3]
[2,8,5,3,6,4,7,1] => [2,1,2,2,1]
[1,2,8,6,4,7,3,5] => [3,1,2,2]
[4,2,3,6,7,1,5,8] => [1,4,3]
[5,3,2,7,8,6,4,1] => [1,1,3,1,1,1]
[4,2,7,8,3,5,6,1] => [1,3,3,1]
[1,4,8,7,2,5,6,3] => [3,1,3,1]
[2,8,3,7,1,4,6,5] => [2,2,3,1]
[2,8,7,1,5,3,6,4] => [2,1,2,2,1]
[5,4,7,6,1,2,8,3] => [1,2,1,3,1]
[3,1,7,4,2,5,6,8] => [1,2,1,4]
[1,7,2,8,3,5,6,4] => [2,2,3,1]
[2,8,7,3,5,4,6,1] => [2,1,2,2,1]
[2,8,4,5,6,3,1,7] => [2,3,1,2]
[7,3,5,6,4,2,8,1] => [1,3,1,2,1]
[1,4,6,7,8,5,2,3] => [5,1,2]
[3,8,4,2,7,6,5,1] => [2,1,2,1,1,1]
[5,1,6,4,3,7,2,8] => [1,2,1,2,2]
[1,2,8,7,3,6,4,5] => [3,1,2,2]
[7,3,2,6,4,1,8,5] => [1,1,2,1,2,1]
[4,8,3,7,1,5,6,2] => [2,2,3,1]
[4,8,3,2,7,5,6,1] => [2,1,2,2,1]
[2,4,3,7,1,5,6,8] => [2,2,4]
[3,2,4,8,7,5,6,1] => [1,3,1,2,1]
[2,6,8,1,5,3,4,7] => [3,2,3]
[3,2,5,6,8,1,4,7] => [1,4,3]
[3,8,1,6,4,5,2,7] => [2,2,2,2]
[8,1,3,6,5,4,2,7] => [1,3,1,1,2]
[7,4,3,6,2,1,8,5] => [1,1,2,1,2,1]
[1,2,4,8,6,3,7,5] => [4,1,2,1]
[7,2,1,5,3,4,8,6] => [1,1,2,3,1]
[5,7,2,3,1,4,8,6] => [2,2,3,1]
[7,1,5,2,4,6,8,3] => [1,2,4,1]
[8,4,2,7,3,5,6,1] => [1,1,2,3,1]
[1,8,6,4,7,5,3,2] => [2,1,2,1,1,1]
[7,4,1,5,8,6,3,2] => [1,1,3,1,1,1]
[4,5,8,7,3,1,2,6] => [3,1,1,3]
[1,3,8,7,6,4,2,5] => [3,1,1,1,2]
[2,8,5,1,7,4,6,3] => [2,1,2,2,1]
[1,8,6,4,7,5,2,3] => [2,1,2,1,2]
[2,7,4,6,3,8,5,1] => [2,2,2,1,1]
[1,2,8,6,4,7,5,3] => [3,1,2,1,1]
[4,1,8,6,3,7,5,2] => [1,2,1,2,1,1]
[7,1,8,4,3,2,5,6] => [1,2,1,1,3]
[1,7,5,4,8,2,3,6] => [2,1,2,3]
[3,5,1,7,4,2,6,8] => [2,2,1,3]
[7,4,1,6,3,2,5,8] => [1,1,2,1,3]
[8,4,3,1,6,2,5,7] => [1,1,1,2,3]
[1,6,5,4,2,8,3,7] => [2,1,1,2,2]
[7,5,4,3,8,1,6,2] => [1,1,1,2,2,1]
[8,5,4,3,7,1,6,2] => [1,1,1,2,2,1]
[5,7,2,8,6,3,1,4] => [2,2,1,1,2]
[1,7,2,8,6,4,3,5] => [2,2,1,1,2]
[5,2,1,7,8,3,6,4] => [1,1,3,2,1]
[8,4,3,1,5,2,7,6] => [1,1,1,2,2,1]
[6,5,4,2,7,3,8,1] => [1,1,1,2,2,1]
[6,5,4,2,7,1,8,3] => [1,1,1,2,2,1]
[5,3,1,6,2,8,7,4] => [1,1,2,2,1,1]
[3,5,4,1,7,8,2,6] => [2,1,3,2]
[7,5,4,3,1,6,8,2] => [1,1,1,1,3,1]
[6,4,2,1,5,7,3,8] => [1,1,1,3,2]
[3,1,5,8,7,2,4,6] => [1,3,1,3]
[3,2,5,7,8,4,6,1] => [1,4,2,1]
[5,3,7,4,2,6,8,1] => [1,2,1,3,1]
[5,3,7,4,2,6,1,8] => [1,2,1,2,2]
[5,3,8,4,2,1,6,7] => [1,2,1,1,3]
[5,2,8,4,3,1,6,7] => [1,2,1,1,3]
[5,1,8,4,3,2,6,7] => [1,2,1,1,3]
[5,2,7,4,3,6,1,8] => [1,2,1,2,2]
[5,2,7,4,3,6,8,1] => [1,2,1,3,1]
[5,3,7,4,1,6,8,2] => [1,2,1,3,1]
[3,1,5,7,8,4,6,2] => [1,4,2,1]
[3,1,5,7,8,4,2,6] => [1,4,1,2]
[5,2,7,4,1,3,8,6] => [1,2,1,3,1]
[6,2,3,7,4,8,5,1] => [1,3,2,1,1]
[6,2,3,7,4,8,1,5] => [1,3,2,2]
[6,2,3,7,4,5,1,8] => [1,3,2,2]
[6,1,3,7,4,5,8,2] => [1,3,3,1]
[1,2,8,6,4,3,5,7] => [3,1,1,3]
[6,1,3,7,4,5,2,8] => [1,3,2,2]
[6,5,8,1,2,4,3,7] => [1,2,3,2]
[3,5,8,7,2,1,4,6] => [3,1,1,3]
[1,8,6,3,5,4,2,7] => [2,1,2,1,2]
[5,6,8,2,1,4,3,7] => [3,1,2,2]
[2,6,1,8,5,3,4,7] => [2,2,1,3]
[4,7,2,8,5,1,3,6] => [2,2,1,3]
[4,5,7,8,1,6,3,2] => [4,2,1,1]
[2,5,7,8,4,6,3,1] => [4,2,1,1]
[1,8,6,7,5,2,4,3] => [2,2,1,2,1]
[1,8,2,7,5,3,4,6] => [2,2,1,3]
[2,5,4,1,8,6,7,3] => [2,1,2,2,1]
[7,4,5,8,2,6,1,3] => [1,3,2,2]
[2,4,1,5,8,6,7,3] => [2,3,2,1]
[5,4,2,1,8,6,7,3] => [1,1,1,2,2,1]
[4,7,5,8,1,6,2,3] => [2,2,2,2]
[5,6,8,3,4,2,7,1] => [3,2,2,1]
[4,1,5,3,8,6,7,2] => [1,2,2,2,1]
[2,3,5,1,8,6,7,4] => [3,2,2,1]
[7,3,4,8,2,6,1,5] => [1,3,2,2]
[7,4,2,8,3,6,1,5] => [1,1,2,2,2]
[3,5,2,1,8,6,7,4] => [2,1,2,2,1]
[7,3,5,1,4,8,6,2] => [1,2,3,1,1]
[7,1,3,2,4,5,6,8] => [1,2,5]
[8,5,4,6,1,7,2,3] => [1,1,2,2,2]
[3,8,7,1,4,2,5,6] => [2,1,2,3]
[5,1,7,8,2,4,3,6] => [1,3,2,2]
[8,5,4,6,1,7,3,2] => [1,1,2,2,1,1]
[5,3,2,8,4,1,7,6] => [1,1,2,1,2,1]
[5,3,2,1,4,6,8,7] => [1,1,1,4,1]
[5,3,2,4,8,1,6,7] => [1,1,3,3]
[5,3,2,4,8,6,1,7] => [1,1,3,1,2]
[5,3,2,4,7,1,8,6] => [1,1,3,2,1]
[8,4,3,5,1,7,6,2] => [1,1,2,2,1,1]
[5,3,2,8,4,6,7,1] => [1,1,2,3,1]
[4,7,8,6,3,2,5,1] => [3,1,1,2,1]
[8,4,5,3,7,1,6,2] => [1,2,2,2,1]
[5,3,1,7,2,4,8,6] => [1,1,2,3,1]
[8,4,5,3,7,1,2,6] => [1,2,2,3]
[5,3,2,8,4,7,1,6] => [1,1,2,2,2]
[4,8,7,1,5,3,6,2] => [2,1,2,2,1]
[4,8,1,7,3,5,6,2] => [2,2,3,1]
[5,3,2,4,8,7,1,6] => [1,1,3,1,2]
[5,3,2,4,6,8,1,7] => [1,1,4,2]
[5,1,2,8,4,7,3,6] => [1,3,2,2]
[5,8,1,7,4,6,3,2] => [2,2,2,1,1]
[2,7,6,3,1,4,8,5] => [2,1,1,3,1]
[3,7,4,5,6,8,2,1] => [2,4,1,1]
[8,7,1,4,2,5,3,6] => [1,1,2,2,2]
[4,6,8,3,7,1,5,2] => [3,2,2,1]
[4,7,3,5,8,1,6,2] => [2,3,2,1]
[8,4,3,5,7,1,6,2] => [1,1,3,2,1]
[1,7,6,4,2,5,3,8] => [2,1,1,2,2]
[8,7,1,2,5,6,3,4] => [1,1,4,2]
[8,6,1,5,2,7,3,4] => [1,1,2,2,2]
[1,2,6,5,7,8,3,4] => [3,3,2]
[7,6,4,2,8,3,1,5] => [1,1,1,2,1,2]
[8,5,2,4,3,7,6,1] => [1,1,2,2,1,1]
[8,5,2,4,3,7,1,6] => [1,1,2,2,2]
[8,5,1,4,3,7,6,2] => [1,1,2,2,1,1]
[8,5,1,4,3,2,7,6] => [1,1,2,1,2,1]
[8,5,1,4,3,2,6,7] => [1,1,2,1,3]
[8,5,1,4,3,6,2,7] => [1,1,2,2,2]
[8,5,1,4,3,6,7,2] => [1,1,2,3,1]
[7,5,4,1,3,6,8,2] => [1,1,1,4,1]
[7,5,4,1,3,6,2,8] => [1,1,1,3,2]
[1,2,6,4,8,3,5,7] => [3,2,3]
[6,5,4,3,1,7,2,8] => [1,1,1,1,2,2]
[8,5,2,4,3,6,7,1] => [1,1,2,3,1]
[3,6,7,2,5,1,8,4] => [3,2,2,1]
[2,6,5,7,1,4,8,3] => [2,2,3,1]
[3,5,1,7,8,4,6,2] => [2,3,2,1]
[1,5,2,4,6,8,7,3] => [2,4,1,1]
[8,1,2,4,7,6,5,3] => [1,4,1,1,1]
[3,4,1,8,6,7,5,2] => [2,2,2,1,1]
[4,3,8,5,1,7,6,2] => [1,2,1,2,1,1]
[6,1,3,2,8,5,7,4] => [1,2,2,2,1]
[8,5,3,2,4,7,1,6] => [1,1,1,3,2]
[6,7,4,2,5,8,3,1] => [2,1,3,1,1]
[8,5,4,2,6,3,1,7] => [1,1,1,2,1,2]
[8,5,2,1,6,4,3,7] => [1,1,1,2,1,2]
[8,4,6,5,1,3,2,7] => [1,2,1,2,2]
[1,3,8,4,7,5,2,6] => [3,2,1,2]
[5,3,7,1,4,6,8,2] => [1,2,4,1]
[5,7,2,6,1,4,8,3] => [2,2,3,1]
[3,8,5,7,6,1,2,4] => [2,2,1,3]
[8,4,7,5,2,1,3,6] => [1,2,1,1,3]
[3,8,6,4,7,2,1,5] => [2,1,2,1,2]
[5,2,7,4,6,8,3,1] => [1,2,3,1,1]
[4,8,6,3,7,2,1,5] => [2,1,2,1,2]
[2,8,3,1,7,6,4,5] => [2,1,2,1,2]
[2,5,6,4,8,1,7,3] => [3,2,2,1]
[5,7,2,1,6,8,3,4] => [2,1,3,2]
[4,7,8,5,1,6,2,3] => [3,1,2,2]
[4,5,2,1,6,7,8,3] => [2,1,4,1]
[4,5,6,3,1,7,8,2] => [3,1,3,1]
[3,5,6,7,4,1,8,2] => [4,1,2,1]
[3,5,1,4,2,8,7,6] => [2,2,2,1,1]
[3,5,1,4,2,6,8,7] => [2,2,3,1]
[3,5,1,4,2,6,7,8] => [2,2,4]
[1,3,8,4,6,2,5,7] => [3,2,3]
[1,4,7,5,6,2,3,8] => [3,2,3]
[1,7,3,6,4,5,2,8] => [2,2,2,2]
[1,8,4,2,3,7,5,6] => [2,1,3,2]
[1,5,2,3,8,6,7,4] => [2,3,2,1]
[1,6,5,3,7,4,2,8] => [2,1,2,1,2]
[1,5,2,7,6,4,3,8] => [2,2,1,1,2]
[1,4,8,3,2,7,6,5] => [3,1,2,1,1]
[1,3,7,6,5,2,4,8] => [3,1,1,3]
[1,5,3,8,4,2,6,7] => [2,2,1,3]
[1,8,2,4,7,5,3,6] => [2,3,1,2]
[1,7,5,2,4,3,6,8] => [2,1,2,3]
[1,8,6,5,2,4,3,7] => [2,1,1,2,2]
[1,6,5,4,2,7,3,8] => [2,1,1,2,2]
[1,7,3,2,6,4,5,8] => [2,1,2,3]
[1,2,8,6,7,5,4,3] => [3,2,1,1,1]
[1,3,8,6,5,4,2,7] => [3,1,1,1,2]
[1,7,5,4,3,2,6,8] => [2,1,1,1,3]
[3,8,5,7,4,6,2,1] => [2,2,2,1,1]
[8,6,2,4,5,7,1,3] => [1,1,4,2]
[7,6,3,2,5,1,8,4] => [1,1,1,2,2,1]
[4,2,7,8,3,6,1,5] => [1,3,2,2]
[4,6,3,7,5,8,2,1] => [2,2,2,1,1]
[4,2,5,7,8,6,3,1] => [1,4,1,1,1]
[8,2,5,7,3,6,1,4] => [1,3,2,2]
[4,2,5,8,7,6,3,1] => [1,3,1,1,1,1]
[6,7,2,4,5,1,8,3] => [2,3,2,1]
[5,2,7,8,3,6,1,4] => [1,3,2,2]
[7,2,8,3,1,6,4,5] => [1,2,1,2,2]
[7,1,3,8,6,2,5,4] => [1,3,1,2,1]
[2,4,7,8,1,3,6,5] => [4,3,1]
[2,7,3,8,6,1,5,4] => [2,2,1,2,1]
[8,5,1,2,3,7,4,6] => [1,1,4,2]
[8,2,3,5,1,4,7,6] => [1,3,3,1]
[6,2,1,3,8,5,4,7] => [1,1,3,1,2]
[8,4,2,3,1,7,6,5] => [1,1,2,2,1,1]
[5,2,8,3,1,4,7,6] => [1,2,1,3,1]
[8,7,2,5,1,4,3,6] => [1,1,2,2,2]
[8,5,3,4,1,2,7,6] => [1,1,2,3,1]
[8,3,5,4,1,2,7,6] => [1,2,1,3,1]
[8,2,4,3,1,7,6,5] => [1,2,1,2,1,1]
[8,4,1,3,2,7,6,5] => [1,1,2,2,1,1]
[6,2,8,4,1,3,7,5] => [1,2,1,3,1]
[6,3,5,2,8,7,1,4] => [1,2,2,1,2]
[3,1,6,2,8,5,4,7] => [1,2,2,1,2]
[8,1,3,5,2,4,7,6] => [1,3,3,1]
[8,3,5,1,2,4,7,6] => [1,2,4,1]
[8,6,5,1,7,4,2,3] => [1,1,1,2,1,2]
[8,7,4,5,1,2,6,3] => [1,1,2,3,1]
[5,8,3,1,2,7,4,6] => [2,1,3,2]
[3,8,6,2,7,1,5,4] => [2,1,2,2,1]
[8,4,3,5,1,2,7,6] => [1,1,2,3,1]
[3,2,8,5,1,4,7,6] => [1,2,1,3,1]
[3,4,8,2,1,7,6,5] => [3,1,2,1,1]
[8,3,4,1,7,2,6,5] => [1,2,2,2,1]
[8,3,4,2,1,7,6,5] => [1,2,1,2,1,1]
[3,8,4,2,1,7,6,5] => [2,1,1,2,1,1]
[8,4,5,2,7,1,6,3] => [1,2,2,2,1]
[8,3,1,7,5,6,2,4] => [1,1,2,2,2]
[8,4,1,7,5,2,6,3] => [1,1,2,1,2,1]
[8,4,2,7,5,3,1,6] => [1,1,2,1,1,2]
[8,4,3,7,5,1,2,6] => [1,1,2,1,3]
[8,5,7,6,4,3,1,2] => [1,2,1,1,1,2]
[8,4,7,6,5,2,1,3] => [1,2,1,1,1,2]
[8,3,1,4,7,6,2,5] => [1,1,3,1,2]
[8,3,5,7,6,2,4,1] => [1,3,1,2,1]
[1,4,6,8,2,5,7,3] => [4,3,1]
[4,2,6,8,1,5,7,3] => [1,3,3,1]
[3,6,2,4,8,1,7,5] => [2,3,2,1]
[7,3,8,2,4,6,1,5] => [1,2,3,2]
[4,2,5,8,3,6,1,7] => [1,3,2,2]
[5,2,1,6,8,3,7,4] => [1,1,3,2,1]
[1,5,2,6,8,3,7,4] => [2,3,2,1]
[4,5,3,1,8,2,6,7] => [2,1,2,3]
[3,5,8,1,4,6,2,7] => [3,3,2]
[5,1,7,8,3,6,2,4] => [1,3,2,2]
[7,4,8,3,5,2,1,6] => [1,2,2,1,2]
[1,6,7,3,8,4,2,5] => [3,2,1,2]
[7,8,3,1,4,5,2,6] => [2,1,3,2]
[7,2,8,4,1,3,5,6] => [1,2,1,4]
[6,1,7,3,2,8,4,5] => [1,2,1,2,2]
[6,2,1,7,3,8,4,5] => [1,1,2,2,2]
[5,8,2,1,3,4,6,7] => [2,1,5]
[7,3,1,8,2,4,6,5] => [1,1,2,3,1]
[4,2,5,1,8,3,6,7] => [1,2,2,3]
[7,4,2,8,3,1,5,6] => [1,1,2,1,3]
[7,4,2,8,3,5,1,6] => [1,1,2,2,2]
[7,3,8,2,1,4,6,5] => [1,2,1,3,1]
[4,7,8,2,1,5,6,3] => [3,1,3,1]
[6,7,2,8,5,1,4,3] => [2,2,1,2,1]
[6,7,8,5,2,1,4,3] => [3,1,1,2,1]
[4,7,8,2,1,5,3,6] => [3,1,2,2]
[4,1,7,8,2,5,3,6] => [1,3,2,2]
[1,6,2,7,8,4,3,5] => [2,3,1,2]
[6,7,1,8,4,3,2,5] => [2,2,1,1,2]
[8,2,1,5,6,3,4,7] => [1,1,3,3]
[7,3,4,1,8,6,2,5] => [1,2,2,1,2]
[4,7,6,3,5,8,2,1] => [2,1,3,1,1]
[3,7,6,5,2,4,8,1] => [2,1,1,3,1]
[1,4,7,8,6,2,5,3] => [4,1,2,1]
[1,6,7,8,3,2,5,4] => [4,1,2,1]
[1,3,2,7,8,4,6,5] => [2,3,2,1]
[2,7,4,8,5,1,3,6] => [2,2,1,3]
[2,1,5,3,4,8,7,6] => [1,2,3,1,1]
[6,8,2,3,5,7,4,1] => [2,4,1,1]
[3,5,4,1,2,6,8,7] => [2,1,4,1]
[6,2,4,3,8,7,1,5] => [1,2,2,1,2]
[5,6,1,3,8,7,2,4] => [2,3,1,2]
[5,7,1,4,6,2,8,3] => [2,3,2,1]
[8,5,1,4,7,6,2,3] => [1,1,3,1,2]
[5,6,4,2,7,1,3,8] => [2,1,2,3]
[4,5,7,1,6,2,3,8] => [3,2,3]
[7,4,5,2,8,6,1,3] => [1,2,2,1,2]
[6,3,1,4,7,8,2,5] => [1,1,4,2]
[8,2,4,1,5,6,3,7] => [1,2,3,2]
[8,7,1,5,4,6,3,2] => [1,1,2,2,1,1]
[4,5,7,1,8,6,2,3] => [3,2,1,2]
[2,5,7,3,8,1,6,4] => [3,2,2,1]
[4,3,8,6,5,2,7,1] => [1,2,1,1,2,1]
[2,3,8,6,5,1,7,4] => [3,1,1,2,1]
[8,4,1,6,5,7,2,3] => [1,1,2,2,2]
[4,1,8,6,5,7,2,3] => [1,2,1,2,2]
[8,1,4,7,5,6,2,3] => [1,3,2,2]
[8,7,4,6,5,1,2,3] => [1,1,2,1,3]
[2,1,3,6,8,4,7,5] => [1,4,2,1]
[7,2,3,6,5,8,1,4] => [1,3,2,2]
[5,2,7,3,1,8,6,4] => [1,2,1,2,1,1]
[5,4,7,3,1,2,6,8] => [1,2,1,4]
[3,4,1,6,5,2,7,8] => [2,2,1,3]
[7,6,2,1,5,4,3,8] => [1,1,1,2,1,2]
[3,5,2,6,7,4,1,8] => [2,3,1,2]
[4,5,7,2,6,1,3,8] => [3,2,3]
[2,7,1,8,5,4,3,6] => [2,2,1,1,2]
[7,1,2,8,5,4,3,6] => [1,3,1,1,2]
[8,1,2,7,6,4,3,5] => [1,3,1,1,2]
[3,1,2,6,5,7,8,4] => [1,3,3,1]
[7,3,2,6,1,4,8,5] => [1,1,2,3,1]
[7,3,5,6,2,4,8,1] => [1,3,3,1]
[8,3,4,6,5,2,1,7] => [1,3,1,1,2]
[8,1,2,5,7,4,3,6] => [1,4,1,2]
[3,2,5,6,8,4,1,7] => [1,4,1,2]
[8,2,6,1,5,4,3,7] => [1,2,2,1,2]
[6,2,1,8,5,4,3,7] => [1,1,2,1,1,2]
[7,2,6,8,5,4,3,1] => [1,3,1,1,1,1]
[7,6,8,2,5,4,3,1] => [1,2,2,1,1,1]
[3,5,8,6,2,4,1,7] => [3,1,2,2]
[8,1,5,7,2,4,3,6] => [1,3,2,2]
[3,7,5,6,2,4,1,8] => [2,2,2,2]
[4,2,5,1,3,6,8,7] => [1,2,4,1]
[3,7,1,5,6,2,4,8] => [2,3,3]
[2,7,1,5,6,8,3,4] => [2,4,2]
[7,2,5,8,6,3,4,1] => [1,3,1,2,1]
[5,8,2,6,7,3,4,1] => [2,3,2,1]
[3,2,6,7,4,5,8,1] => [1,3,3,1]
[2,3,6,7,8,4,5,1] => [5,2,1]
[7,2,4,3,8,6,5,1] => [1,2,2,1,1,1]
[7,3,4,2,8,6,1,5] => [1,2,2,1,2]
[5,3,4,2,7,1,8,6] => [1,2,2,2,1]
[2,4,5,3,7,8,1,6] => [3,3,2]
[3,6,4,8,1,2,7,5] => [2,2,3,1]
[3,7,1,4,8,2,6,5] => [2,3,2,1]
[7,6,1,2,8,3,4,5] => [1,1,3,3]
[5,6,8,2,1,3,4,7] => [3,1,4]
[6,5,2,1,3,8,4,7] => [1,1,1,3,2]
[2,4,3,5,6,8,1,7] => [2,4,2]
[6,3,2,4,8,5,1,7] => [1,1,3,1,2]
[6,3,1,2,7,8,4,5] => [1,1,4,2]
[6,3,1,7,4,8,2,5] => [1,1,2,2,2]
[7,4,6,2,8,1,3,5] => [1,2,2,3]
[7,4,6,1,3,8,2,5] => [1,2,3,2]
[8,4,7,1,2,5,3,6] => [1,2,3,2]
[7,4,6,1,2,8,5,3] => [1,2,3,1,1]
[7,4,6,1,8,5,2,3] => [1,2,2,1,2]
[8,5,6,7,2,1,4,3] => [1,3,1,2,1]
[8,5,6,7,2,4,1,3] => [1,3,2,2]
[8,5,6,7,1,2,4,3] => [1,3,3,1]
[5,1,3,7,6,2,8,4] => [1,3,1,2,1]
[6,1,3,5,7,4,8,2] => [1,4,2,1]
[7,1,3,6,5,4,8,2] => [1,3,1,2,1]
[2,5,6,3,8,4,7,1] => [3,2,2,1]
[4,3,5,1,7,2,6,8] => [1,2,2,3]
[6,4,8,1,5,3,2,7] => [1,2,2,1,2]
[4,8,3,1,5,2,6,7] => [2,1,2,3]
[3,7,6,2,5,1,4,8] => [2,1,2,3]
[6,5,4,1,2,7,3,8] => [1,1,1,3,2]
[6,8,4,2,3,1,7,5] => [2,1,2,2,1]
[1,7,6,2,8,3,5,4] => [2,1,2,2,1]
[7,2,6,3,1,4,8,5] => [1,2,1,3,1]
[7,5,1,3,4,8,2,6] => [1,1,4,2]
[7,1,5,6,3,2,8,4] => [1,3,1,2,1]
[2,4,1,7,6,5,3,8] => [2,2,1,1,2]
[4,1,3,8,5,2,7,6] => [1,3,1,2,1]
[1,8,5,4,7,2,3,6] => [2,1,2,3]
[8,2,5,6,4,3,1,7] => [1,3,1,1,2]
[2,4,3,8,6,5,1,7] => [2,2,1,1,2]
[3,1,4,5,8,6,2,7] => [1,4,1,2]
[1,8,3,2,5,4,6,7] => [2,1,2,3]
[5,1,7,3,2,8,4,6] => [1,2,1,2,2]
[5,7,8,1,3,2,4,6] => [3,2,3]
[8,2,4,1,6,7,3,5] => [1,2,3,2]
[4,1,6,7,3,5,8,2] => [1,3,3,1]
[8,7,3,6,2,4,1,5] => [1,1,2,2,2]
[1,7,4,8,3,6,2,5] => [2,2,2,2]
[7,8,6,1,3,5,4,2] => [2,1,3,1,1]
[1,7,5,8,4,3,2,6] => [2,2,1,1,2]
[6,3,1,2,7,8,5,4] => [1,1,4,1,1]
[8,2,7,5,3,4,1,6] => [1,2,1,2,2]
[6,3,1,2,8,7,5,4] => [1,1,3,1,1,1]
[8,4,7,2,6,3,1,5] => [1,2,2,1,2]
[1,2,5,7,8,3,6,4] => [5,2,1]
[7,6,3,4,2,1,8,5] => [1,1,2,1,2,1]
[8,4,6,2,3,7,1,5] => [1,2,3,2]
[2,3,5,8,7,1,4,6] => [4,1,3]
[3,4,5,8,1,7,2,6] => [4,2,2]
[1,8,4,5,3,7,2,6] => [2,2,2,2]
[6,3,4,2,7,8,1,5] => [1,2,3,2]
[6,3,4,2,7,1,5,8] => [1,2,2,3]
[5,6,3,7,8,2,1,4] => [2,3,1,2]
[6,8,3,4,7,2,1,5] => [2,3,1,2]
[8,6,3,4,7,2,1,5] => [1,1,3,1,2]
[4,3,8,6,7,5,1,2] => [1,2,2,1,2]
[4,5,6,2,7,8,3,1] => [3,3,1,1]
[4,5,6,2,7,1,8,3] => [3,2,2,1]
[4,5,6,2,1,7,8,3] => [3,1,3,1]
[4,5,6,2,1,7,3,8] => [3,1,2,2]
[5,8,6,2,1,7,3,4] => [2,1,1,2,2]
[8,6,3,4,1,7,2,5] => [1,1,2,2,2]
[5,6,3,1,7,2,4,8] => [2,1,2,3]
[8,4,6,7,2,1,3,5] => [1,3,1,3]
[6,8,7,2,3,1,4,5] => [2,1,2,3]
[2,5,6,7,4,1,3,8] => [4,1,3]
[5,3,6,7,1,4,8,2] => [1,3,3,1]
[4,5,1,6,7,3,2,8] => [2,3,1,2]
[5,6,1,8,7,4,2,3] => [2,2,1,1,2]
[6,7,3,1,2,5,4,8] => [2,1,3,2]
[3,7,4,8,1,5,6,2] => [2,2,3,1]
[2,5,1,8,3,7,4,6] => [2,2,2,2]
[2,3,8,6,5,7,1,4] => [3,1,2,2]
[6,3,8,4,1,5,7,2] => [1,2,1,3,1]
[6,3,4,1,7,5,8,2] => [1,2,2,2,1]
[6,7,2,5,8,3,1,4] => [2,3,1,2]
[5,7,2,1,3,8,4,6] => [2,1,3,2]
[3,7,5,4,1,6,8,2] => [2,1,1,3,1]
[3,8,5,4,1,6,7,2] => [2,1,1,3,1]
[5,2,1,4,6,8,7,3] => [1,1,4,1,1]
[4,1,7,6,3,2,5,8] => [1,2,1,1,3]
[4,6,1,3,2,5,8,7] => [2,2,3,1]
[1,8,6,4,7,3,5,2] => [2,1,2,2,1]
[7,1,5,4,2,6,3,8] => [1,2,1,2,2]
[5,6,1,8,3,2,4,7] => [2,2,1,3]
[8,5,6,3,7,2,1,4] => [1,2,2,1,2]
[2,5,3,6,7,1,8,4] => [2,3,2,1]
[2,7,4,5,6,8,1,3] => [2,4,2]
[2,3,4,6,8,1,7,5] => [5,2,1]
[2,3,5,8,1,6,7,4] => [4,3,1]
[2,4,7,5,6,8,1,3] => [3,3,2]
[7,3,4,6,2,8,1,5] => [1,3,2,2]
[4,7,6,5,2,8,3,1] => [2,1,1,2,1,1]
[2,5,4,8,6,7,3,1] => [2,2,2,1,1]
[7,5,4,1,6,8,2,3] => [1,1,1,3,2]
[8,5,2,1,7,6,3,4] => [1,1,1,2,1,2]
[6,5,4,8,2,1,3,7] => [1,1,2,1,3]
[4,3,6,2,1,5,8,7] => [1,2,1,3,1]
[5,4,7,3,2,1,8,6] => [1,2,1,1,2,1]
[2,7,3,6,4,1,8,5] => [2,2,1,2,1]
[2,6,7,5,3,1,8,4] => [3,1,1,2,1]
[8,7,3,6,5,4,1,2] => [1,1,2,1,1,2]
[5,8,4,1,7,3,6,2] => [2,1,2,2,1]
[5,1,4,6,8,7,3,2] => [1,4,1,1,1]
[7,2,1,8,5,6,4,3] => [1,1,2,2,1,1]
[3,6,5,1,4,8,2,7] => [2,1,3,2]
[6,2,1,5,4,8,3,7] => [1,1,2,2,2]
[6,3,5,4,8,1,2,7] => [1,2,2,3]
[4,6,5,2,3,8,1,7] => [2,1,3,2]
[1,5,4,6,2,3,8,7] => [2,2,3,1]
[8,5,7,6,3,4,2,1] => [1,2,1,2,1,1]
[8,2,1,5,7,3,6,4] => [1,1,3,2,1]
[3,2,8,5,1,7,6,4] => [1,2,1,2,1,1]
[1,7,8,4,6,3,5,2] => [3,2,2,1]
[2,5,1,4,6,3,8,7] => [2,3,2,1]
[3,1,5,6,4,2,8,7] => [1,3,1,2,1]
[8,5,6,4,3,1,7,2] => [1,2,1,1,2,1]
[8,3,5,6,7,1,2,4] => [1,4,3]
[2,1,4,7,3,6,8,5] => [1,3,3,1]
[5,3,7,6,4,8,2,1] => [1,2,1,2,1,1]
[3,7,6,4,2,8,1,5] => [2,1,1,2,2]
[8,6,1,4,3,7,2,5] => [1,1,2,2,2]
[8,4,7,5,1,6,3,2] => [1,2,1,2,1,1]
[2,1,5,3,7,8,6,4] => [1,2,3,1,1]
[5,1,4,7,6,8,2,3] => [1,3,2,2]
[8,4,1,3,7,6,5,2] => [1,1,3,1,1,1]
[8,3,4,1,6,7,5,2] => [1,2,3,1,1]
[8,1,4,2,6,5,7,3] => [1,2,2,2,1]
[3,7,6,8,1,4,5,2] => [2,2,3,1]
[3,7,5,8,4,1,6,2] => [2,2,1,2,1]
[1,6,5,3,8,7,2,4] => [2,1,2,1,2]
[3,6,5,4,8,7,1,2] => [2,1,2,1,2]
[3,6,5,4,1,7,8,2] => [2,1,1,3,1]
[3,6,5,4,7,8,1,2] => [2,1,3,2]
[4,7,5,1,3,6,2,8] => [2,1,3,2]
[8,6,5,3,1,7,2,4] => [1,1,1,1,2,2]
[8,6,4,3,7,2,1,5] => [1,1,1,2,1,2]
[8,6,4,3,1,2,7,5] => [1,1,1,1,3,1]
[7,8,1,4,3,2,6,5] => [2,2,1,2,1]
[5,8,1,4,3,2,6,7] => [2,2,1,3]
[4,6,5,3,8,1,2,7] => [2,1,2,3]
[5,6,4,3,8,2,7,1] => [2,1,2,2,1]
[1,6,4,3,8,2,7,5] => [2,1,2,2,1]
[5,8,1,6,7,3,2,4] => [2,3,1,2]
[1,5,4,3,2,8,6,7] => [2,1,1,2,2]
[6,7,4,1,3,2,5,8] => [2,1,2,3]
[7,8,1,4,3,2,5,6] => [2,2,1,3]
[8,7,4,1,3,2,5,6] => [1,1,1,2,3]
[7,1,8,4,5,3,6,2] => [1,2,2,2,1]
[4,3,1,8,6,5,7,2] => [1,1,2,1,2,1]
[4,3,2,7,5,1,8,6] => [1,1,2,1,2,1]
[5,2,3,7,4,1,8,6] => [1,3,1,2,1]
[2,1,7,4,3,6,8,5] => [1,2,1,3,1]
[7,1,2,4,5,6,8,3] => [1,6,1]
[2,8,7,1,4,5,6,3] => [2,1,4,1]
[8,7,1,3,4,5,6,2] => [1,1,5,1]
[5,8,3,1,4,6,7,2] => [2,1,4,1]
[1,7,2,5,4,6,8,3] => [2,2,3,1]
[2,5,3,8,1,6,7,4] => [2,2,3,1]
[1,6,4,2,5,7,8,3] => [2,1,4,1]
[6,5,3,4,1,7,8,2] => [1,1,2,3,1]
[5,6,3,4,1,7,8,2] => [2,2,3,1]
[2,5,3,1,4,7,8,6] => [2,1,4,1]
[6,8,2,3,1,5,7,4] => [2,2,3,1]
[4,3,1,5,2,7,8,6] => [1,1,2,3,1]
[5,2,3,1,4,7,8,6] => [1,2,4,1]
[7,2,1,3,5,6,8,4] => [1,1,5,1]
[7,3,6,4,5,8,1,2] => [1,2,3,2]
[5,2,4,7,8,6,3,1] => [1,4,1,1,1]
[5,4,8,7,2,3,1,6] => [1,2,1,2,2]
[8,1,4,5,3,6,2,7] => [1,3,2,2]
[8,3,5,1,4,6,2,7] => [1,2,3,2]
[5,8,2,1,7,4,3,6] => [2,1,2,1,2]
[6,5,7,2,1,8,4,3] => [1,2,1,2,1,1]
[1,5,4,7,3,8,6,2] => [2,2,2,1,1]
[7,4,1,3,8,5,6,2] => [1,1,3,2,1]
[3,6,8,4,1,7,2,5] => [3,1,2,2]
[2,1,8,4,7,6,3,5] => [1,2,2,1,2]
[2,7,5,6,8,4,3,1] => [2,3,1,1,1]
[3,5,2,4,7,8,6,1] => [2,4,1,1]
[7,5,6,3,8,2,1,4] => [1,2,2,1,2]
[1,6,2,7,4,5,8,3] => [2,2,3,1]
[7,4,2,6,1,5,8,3] => [1,1,2,3,1]
[8,4,1,6,2,5,7,3] => [1,1,2,3,1]
[7,3,4,5,1,6,8,2] => [1,3,3,1]
[6,2,3,7,5,4,8,1] => [1,3,1,2,1]
[7,6,2,4,3,5,8,1] => [1,1,2,3,1]
[6,3,1,7,5,8,4,2] => [1,1,2,2,1,1]
[3,5,8,7,1,6,4,2] => [3,1,2,1,1]
[8,4,2,7,6,1,5,3] => [1,1,2,1,2,1]
[8,4,7,1,2,6,5,3] => [1,2,3,1,1]
[8,7,6,2,3,5,1,4] => [1,1,1,3,2]
[7,6,3,4,8,1,5,2] => [1,1,3,2,1]
[7,8,4,6,1,2,5,3] => [2,2,3,1]
[4,1,6,7,5,8,3,2] => [1,3,2,1,1]
[5,7,2,8,1,6,4,3] => [2,2,2,1,1]
[8,4,7,1,6,5,2,3] => [1,2,2,1,2]
[8,4,7,6,1,2,5,3] => [1,2,1,3,1]
[3,8,7,4,6,1,5,2] => [2,1,2,2,1]
[8,7,6,2,1,5,3,4] => [1,1,1,1,2,2]
[5,7,8,1,6,2,4,3] => [3,2,2,1]
[8,7,6,2,1,3,5,4] => [1,1,1,1,3,1]
[6,8,4,7,5,2,1,3] => [2,2,1,1,2]
[6,8,2,7,1,5,4,3] => [2,2,2,1,1]
[6,8,7,4,2,5,1,3] => [2,1,1,2,2]
[6,8,4,5,2,1,3,7] => [2,2,1,3]
[6,8,4,5,7,2,1,3] => [2,3,1,2]
[6,8,4,2,5,7,1,3] => [2,1,3,2]
[6,8,4,2,5,1,3,7] => [2,1,2,3]
[8,1,4,6,2,3,7,5] => [1,3,3,1]
[4,8,6,2,3,7,1,5] => [2,1,3,2]
[2,5,3,7,6,4,8,1] => [2,2,1,2,1]
[3,1,5,7,6,4,2,8] => [1,3,1,1,2]
[3,1,6,5,4,7,2,8] => [1,2,1,2,2]
[2,5,6,8,3,4,7,1] => [4,3,1]
[4,1,3,6,5,2,7,8] => [1,3,1,3]
[3,6,2,4,5,7,1,8] => [2,4,2]
[3,6,2,5,4,7,1,8] => [2,2,2,2]
[3,5,1,7,6,4,2,8] => [2,2,1,1,2]
[3,6,1,4,5,7,2,8] => [2,4,2]
[4,3,1,6,5,2,7,8] => [1,1,2,1,3]
[4,1,2,6,5,3,7,8] => [1,3,1,3]
[4,6,1,3,5,2,7,8] => [2,3,3]
[3,6,4,2,5,7,1,8] => [2,1,3,2]
[4,2,6,3,5,1,7,8] => [1,2,2,3]
[3,4,7,6,5,1,2,8] => [3,1,1,3]
[4,5,2,7,1,3,6,8] => [2,2,4]
[4,6,1,2,5,3,7,8] => [2,3,3]
[2,5,4,7,3,6,8,1] => [2,2,3,1]
[2,5,4,8,6,1,7,3] => [2,2,1,2,1]
[2,4,3,7,5,8,6,1] => [2,2,2,1,1]
[2,6,5,1,4,8,7,3] => [2,1,3,1,1]
[2,6,5,1,7,3,8,4] => [2,1,2,2,1]
[5,8,4,7,1,3,6,2] => [2,2,3,1]
[6,4,7,1,3,5,2,8] => [1,2,3,2]
[6,8,1,3,5,7,4,2] => [2,4,1,1]
[5,8,3,2,7,4,6,1] => [2,1,2,2,1]
[6,8,3,1,5,4,7,2] => [2,1,2,2,1]
[6,8,1,2,5,3,7,4] => [2,3,2,1]
[5,2,8,3,4,6,7,1] => [1,2,4,1]
[5,2,7,1,6,4,8,3] => [1,2,2,2,1]
[4,5,2,6,1,3,7,8] => [2,2,4]
[4,3,5,8,6,1,7,2] => [1,3,1,2,1]
[5,1,3,6,7,4,2,8] => [1,4,1,2]
[4,2,8,3,6,7,5,1] => [1,2,3,1,1]
[3,1,7,8,5,6,2,4] => [1,3,2,2]
[6,2,1,7,5,3,4,8] => [1,1,2,1,3]
[3,7,1,8,5,2,4,6] => [2,2,1,3]
[4,2,8,6,7,1,3,5] => [1,2,2,3]
[6,1,2,4,7,3,5,8] => [1,4,3]
[5,3,1,6,4,7,2,8] => [1,1,2,2,2]
[1,2,4,5,8,7,3,6] => [5,1,2]
[1,3,4,7,5,8,6,2] => [4,2,1,1]
[1,5,2,3,7,8,6,4] => [2,4,1,1]
[4,2,8,1,6,5,7,3] => [1,2,2,2,1]
[5,6,1,4,8,3,2,7] => [2,3,1,2]
[3,6,4,1,7,2,8,5] => [2,1,2,2,1]
[5,2,6,3,7,8,4,1] => [1,2,3,1,1]
[2,4,1,3,7,8,6,5] => [2,4,1,1]
[2,6,1,5,7,8,4,3] => [2,4,1,1]
[5,1,6,4,7,8,2,3] => [1,2,3,2]
[8,4,6,3,7,5,1,2] => [1,2,2,1,2]
[4,7,6,8,2,3,5,1] => [2,2,3,1]
[5,7,4,8,1,2,6,3] => [2,2,3,1]
[3,6,7,5,8,1,4,2] => [3,2,2,1]
[3,7,5,6,8,2,4,1] => [2,3,2,1]
[2,7,1,6,8,4,5,3] => [2,3,2,1]
[1,5,4,7,2,6,3,8] => [2,2,2,2]
[2,4,5,8,3,1,7,6] => [4,1,2,1]
[1,4,7,5,8,3,6,2] => [3,2,2,1]
[2,6,8,7,3,5,1,4] => [3,1,2,2]
[4,7,8,6,2,5,1,3] => [3,1,2,2]
[4,8,7,3,5,6,2,1] => [2,1,3,1,1]
[1,7,6,3,5,4,2,8] => [2,1,2,1,2]
[4,3,8,1,6,5,7,2] => [1,2,2,2,1]
[1,3,6,2,5,8,7,4] => [3,3,1,1]
[5,8,7,1,4,6,3,2] => [2,1,3,1,1]
[6,2,5,1,3,4,8,7] => [1,2,4,1]
[2,6,5,1,3,4,8,7] => [2,1,4,1]
[4,6,5,1,2,7,3,8] => [2,1,3,2]
[5,6,4,1,2,7,3,8] => [2,1,3,2]
[8,1,5,6,2,4,3,7] => [1,3,2,2]
[6,4,5,1,2,7,3,8] => [1,2,3,2]
[5,4,6,1,3,2,7,8] => [1,2,2,3]
[5,7,1,4,3,2,6,8] => [2,2,1,3]
[2,6,4,1,3,7,5,8] => [2,1,3,2]
[7,5,4,3,8,6,1,2] => [1,1,1,2,1,2]
[5,8,2,3,7,1,4,6] => [2,3,3]
[2,7,4,3,1,8,6,5] => [2,1,1,2,1,1]
[7,8,5,3,2,1,6,4] => [2,1,1,1,2,1]
[1,5,8,3,4,2,6,7] => [3,2,3]
[7,1,6,5,2,4,8,3] => [1,2,1,3,1]
[5,1,3,8,2,6,7,4] => [1,3,3,1]
[1,2,6,7,8,4,5,3] => [5,2,1]
[6,1,4,8,2,7,5,3] => [1,3,2,1,1]
[7,4,8,1,2,5,3,6] => [1,2,3,2]
[6,2,8,1,5,4,3,7] => [1,2,2,1,2]
[1,3,5,6,8,2,7,4] => [5,2,1]
[7,6,4,1,3,2,5,8] => [1,1,1,2,3]
[3,4,5,7,1,6,8,2] => [4,3,1]
[5,2,3,7,1,8,4,6] => [1,3,2,2]
[3,5,4,8,2,1,6,7] => [2,2,1,3]
[7,2,3,1,8,4,6,5] => [1,2,2,2,1]
[3,5,4,1,6,8,7,2] => [2,1,3,1,1]
[1,8,6,7,4,3,2,5] => [2,2,1,1,2]
[2,5,3,1,4,8,7,6] => [2,1,3,1,1]
[5,4,1,7,3,2,8,6] => [1,1,2,1,2,1]
[7,3,4,5,1,8,6,2] => [1,3,2,1,1]
[1,5,6,7,4,8,2,3] => [4,2,2]
[5,7,1,8,4,6,3,2] => [2,2,2,1,1]
[7,8,1,5,4,3,2,6] => [2,2,1,1,2]
[3,1,4,7,2,6,5,8] => [1,3,2,2]
[3,2,7,5,1,6,4,8] => [1,2,1,2,2]
[6,3,2,5,7,4,8,1] => [1,1,3,2,1]
[5,7,3,8,1,2,4,6] => [2,2,4]
[4,5,2,7,6,3,1,8] => [2,2,1,1,2]
[4,5,2,1,7,6,3,8] => [2,1,2,1,2]
[2,7,5,1,3,6,4,8] => [2,1,3,2]
[2,7,5,6,1,4,3,8] => [2,2,2,2]
[7,4,5,3,8,1,2,6] => [1,2,2,3]
[3,6,1,5,7,4,8,2] => [2,3,2,1]
[5,6,7,2,8,3,4,1] => [3,2,2,1]
[2,6,7,8,3,1,4,5] => [4,1,3]
[5,6,1,7,8,3,2,4] => [2,3,1,2]
[6,3,2,5,1,7,8,4] => [1,1,2,3,1]
[4,6,3,7,8,2,1,5] => [2,3,1,2]
[4,6,3,7,8,2,5,1] => [2,3,2,1]
[6,7,3,4,8,2,5,1] => [2,3,2,1]
[6,7,3,4,8,2,1,5] => [2,3,1,2]
[7,3,4,1,5,8,2,6] => [1,2,3,2]
[5,6,7,1,8,4,2,3] => [3,2,1,2]
[1,7,8,4,6,5,2,3] => [3,2,1,2]
[1,7,3,2,8,6,5,4] => [2,1,2,1,1,1]
[3,7,1,2,8,6,5,4] => [2,3,1,1,1]
[2,7,3,1,8,6,5,4] => [2,1,2,1,1,1]
[2,7,8,1,6,5,3,4] => [3,2,1,2]
[6,8,1,3,4,7,5,2] => [2,4,1,1]
[6,2,8,7,1,5,3,4] => [1,2,1,2,2]
[2,5,8,1,7,6,3,4] => [3,2,1,2]
[2,4,8,7,6,3,1,5] => [3,1,1,1,2]
[5,1,8,7,3,4,6,2] => [1,2,1,3,1]
[8,1,5,7,3,4,6,2] => [1,3,3,1]
[5,8,2,7,6,3,1,4] => [2,2,1,1,2]
[2,8,4,7,6,3,1,5] => [2,2,1,1,2]
[1,8,2,4,7,6,3,5] => [2,3,1,2]
[1,4,8,7,6,3,2,5] => [3,1,1,1,2]
[1,8,4,7,6,3,2,5] => [2,2,1,1,2]
[8,3,1,5,6,7,4,2] => [1,1,4,1,1]
[2,5,1,6,8,7,4,3] => [2,3,1,1,1]
[4,5,8,7,1,6,2,3] => [3,1,2,2]
[3,2,6,1,8,7,5,4] => [1,2,2,1,1,1]
[3,1,4,8,7,5,6,2] => [1,3,1,2,1]
[1,3,5,8,6,7,4,2] => [4,2,1,1]
[1,8,2,4,6,7,5,3] => [2,4,1,1]
[1,4,7,3,8,5,6,2] => [3,2,2,1]
[1,4,7,8,2,5,6,3] => [4,3,1]
[2,3,7,8,1,5,6,4] => [4,3,1]
[2,5,1,8,4,7,6,3] => [2,2,2,1,1]
[2,1,7,4,8,6,5,3] => [1,2,2,1,1,1]
[1,7,3,8,4,2,6,5] => [2,2,1,2,1]
[2,3,7,1,8,6,5,4] => [3,2,1,1,1]
[3,4,2,8,1,7,6,5] => [2,2,2,1,1]
[2,4,5,8,1,7,6,3] => [4,2,1,1]
[2,3,8,5,1,7,6,4] => [3,1,2,1,1]
[1,8,3,5,2,7,6,4] => [2,2,2,1,1]
[3,1,8,2,6,7,5,4] => [1,2,3,1,1]
[3,1,7,2,8,6,5,4] => [1,2,2,1,1,1]
[2,6,8,1,4,3,7,5] => [3,2,2,1]
[4,1,8,2,6,7,3,5] => [1,2,3,2]
[1,6,5,2,8,7,3,4] => [2,1,2,1,2]
[2,6,1,5,8,7,3,4] => [2,3,1,2]
[8,1,7,3,5,2,4,6] => [1,2,2,3]
[8,1,3,2,7,6,4,5] => [1,2,2,1,2]
[8,1,6,5,3,2,7,4] => [1,2,1,1,2,1]
[8,1,7,6,3,2,5,4] => [1,2,1,1,2,1]
[7,3,4,8,6,2,5,1] => [1,3,1,2,1]
[7,4,6,8,1,2,5,3] => [1,3,3,1]
[7,5,8,1,6,2,3,4] => [1,2,2,3]
[5,7,1,4,3,2,8,6] => [2,2,1,2,1]
[6,7,5,3,2,8,1,4] => [2,1,1,2,2]
[6,8,4,5,3,1,7,2] => [2,2,1,2,1]
[6,7,4,5,3,1,8,2] => [2,2,1,2,1]
[6,2,5,3,4,1,7,8] => [1,2,2,3]
[7,5,6,1,8,2,3,4] => [1,2,2,3]
[7,4,6,5,1,2,8,3] => [1,2,1,3,1]
[6,5,4,8,3,1,7,2] => [1,1,2,1,2,1]
[6,7,5,3,2,8,4,1] => [2,1,1,2,1,1]
[6,2,5,3,8,1,4,7] => [1,2,2,3]
[6,2,5,3,7,1,4,8] => [1,2,2,3]
[7,6,1,3,5,2,4,8] => [1,1,3,3]
[7,6,1,4,5,2,3,8] => [1,1,3,3]
[7,6,8,1,4,2,5,3] => [1,2,2,2,1]
[6,3,5,1,8,7,4,2] => [1,2,2,1,1,1]
[6,8,5,3,2,7,4,1] => [2,1,1,2,1,1]
[6,3,4,7,2,8,1,5] => [1,3,2,2]
[6,3,4,8,2,7,1,5] => [1,3,2,2]
[6,1,5,4,8,2,3,7] => [1,2,2,3]
[6,2,4,5,3,8,1,7] => [1,3,2,2]
[5,2,7,4,3,1,8,6] => [1,2,1,1,2,1]
[5,8,6,4,3,2,7,1] => [2,1,1,1,2,1]
[6,1,5,4,7,2,3,8] => [1,2,2,3]
[6,8,5,4,7,1,3,2] => [2,1,2,2,1]
[5,8,7,4,3,2,6,1] => [2,1,1,1,2,1]
[8,1,2,6,3,5,4,7] => [1,3,2,2]
[6,1,5,4,7,8,3,2] => [1,2,3,1,1]
[8,2,5,4,1,3,6,7] => [1,2,1,4]
[8,1,5,4,6,3,2,7] => [1,2,2,1,2]
[3,8,5,4,2,7,6,1] => [2,1,1,2,1,1]
[3,6,1,4,7,5,8,2] => [2,3,2,1]
[3,6,8,4,7,5,2,1] => [3,2,1,1,1]
[5,6,1,4,8,7,2,3] => [2,3,1,2]
[5,6,2,4,8,1,7,3] => [2,3,2,1]
[7,6,5,3,1,4,8,2] => [1,1,1,1,3,1]
[1,6,2,4,5,8,7,3] => [2,4,1,1]
[7,1,2,5,3,8,6,4] => [1,3,2,1,1]
[1,6,8,4,2,5,7,3] => [3,1,3,1]
[2,8,1,6,3,7,5,4] => [2,2,2,1,1]
[3,6,8,4,1,5,7,2] => [3,1,3,1]
[2,6,1,4,5,7,8,3] => [2,5,1]
[1,8,2,6,3,5,7,4] => [2,2,3,1]
[7,5,8,1,3,4,2,6] => [1,2,3,2]
[1,4,2,8,3,5,7,6] => [2,2,3,1]
[7,5,2,1,3,6,8,4] => [1,1,1,4,1]
[5,6,1,4,8,3,7,2] => [2,3,2,1]
[1,3,5,4,8,7,2,6] => [3,2,1,2]
[1,6,3,4,8,5,7,2] => [2,3,2,1]
[7,6,5,2,1,3,8,4] => [1,1,1,1,3,1]
[1,6,2,4,8,3,7,5] => [2,3,2,1]
[7,1,2,8,3,4,6,5] => [1,3,3,1]
[7,6,3,8,4,1,2,5] => [1,1,2,1,3]
[7,1,3,2,6,5,4,8] => [1,2,2,1,2]
[1,3,6,2,7,5,8,4] => [3,2,2,1]
[1,4,2,7,6,5,3,8] => [2,2,1,1,2]
[1,5,4,2,7,6,3,8] => [2,1,2,1,2]
[1,6,2,7,5,4,8,3] => [2,2,1,2,1]
[1,7,8,5,4,2,6,3] => [3,1,1,2,1]
[1,5,2,8,6,4,7,3] => [2,2,1,2,1]
[1,8,4,2,6,5,7,3] => [2,1,2,2,1]
[1,6,5,2,7,4,8,3] => [2,1,2,2,1]
[1,7,5,6,4,2,8,3] => [2,2,1,2,1]
[1,8,5,6,4,2,7,3] => [2,2,1,2,1]
[5,1,6,7,4,2,8,3] => [1,3,1,2,1]
[6,7,1,8,4,2,5,3] => [2,2,1,2,1]
[4,1,7,8,5,2,6,3] => [1,3,1,2,1]
[7,1,8,6,4,2,5,3] => [1,2,1,1,2,1]
[4,1,6,8,5,2,7,3] => [1,3,1,2,1]
[6,8,1,5,2,3,7,4] => [2,2,3,1]
[1,5,4,2,8,6,7,3] => [2,1,2,2,1]
[1,3,5,2,8,6,7,4] => [3,2,2,1]
[1,3,8,5,6,2,7,4] => [3,2,2,1]
[1,5,3,6,7,2,8,4] => [2,3,2,1]
[1,8,5,4,6,2,7,3] => [2,1,2,2,1]
[1,7,5,4,6,2,8,3] => [2,1,2,2,1]
[5,8,4,1,6,2,7,3] => [2,1,2,2,1]
[6,4,5,1,7,2,8,3] => [1,2,2,2,1]
[4,8,1,3,7,6,2,5] => [2,3,1,2]
[4,5,3,1,2,8,7,6] => [2,1,3,1,1]
[6,4,2,3,1,8,7,5] => [1,1,2,2,1,1]
[6,5,2,1,3,8,7,4] => [1,1,1,3,1,1]
[7,6,1,8,2,5,3,4] => [1,1,2,2,2]
[8,4,2,3,7,6,1,5] => [1,1,3,1,2]
[5,7,8,1,2,4,3,6] => [3,3,2]
[1,7,6,8,3,5,4,2] => [2,2,2,1,1]
[5,7,6,4,2,1,3,8] => [2,1,1,1,3]
[6,5,7,4,1,3,2,8] => [1,2,1,2,2]
[4,6,1,8,3,5,2,7] => [2,2,2,2]
[7,1,6,8,2,5,4,3] => [1,3,2,1,1]
[4,7,1,8,3,2,5,6] => [2,2,1,3]
[4,8,3,6,1,5,2,7] => [2,2,2,2]
[1,7,8,6,4,5,3,2] => [3,1,2,1,1]
[3,2,8,6,4,5,1,7] => [1,2,1,2,2]
[8,4,3,6,2,5,1,7] => [1,1,2,2,2]
[1,6,8,7,4,3,5,2] => [3,1,1,2,1]
[7,1,4,3,5,8,2,6] => [1,2,3,2]
[8,4,6,7,3,5,1,2] => [1,3,2,2]
[3,1,2,6,8,7,5,4] => [1,4,1,1,1]
[8,5,6,3,7,4,1,2] => [1,2,2,1,2]
[5,7,4,2,1,8,6,3] => [2,1,1,2,1,1]
[8,6,5,7,2,4,3,1] => [1,1,2,2,1,1]
[7,4,6,1,8,5,3,2] => [1,2,2,1,1,1]
[7,4,6,3,8,1,5,2] => [1,2,2,2,1]
[7,4,8,1,6,3,2,5] => [1,2,2,1,2]
[7,4,8,3,6,2,1,5] => [1,2,2,1,2]
[6,4,8,2,3,5,7,1] => [1,2,4,1]
[6,2,4,1,5,8,3,7] => [1,2,3,2]
[6,2,4,8,1,5,7,3] => [1,3,3,1]
[6,8,2,4,1,5,3,7] => [2,2,2,2]
[4,6,8,2,5,7,1,3] => [3,3,2]
[6,4,8,2,5,7,1,3] => [1,2,3,2]
[6,2,4,5,8,3,7,1] => [1,4,2,1]
[6,8,2,4,7,3,5,1] => [2,3,2,1]
[6,8,4,2,3,5,1,7] => [2,1,3,2]
[6,8,4,2,3,5,7,1] => [2,1,4,1]
[4,6,8,2,3,1,5,7] => [3,2,3]
[4,6,8,2,5,1,7,3] => [3,2,2,1]
[4,6,8,2,5,7,3,1] => [3,3,1,1]
[6,8,4,2,3,7,1,5] => [2,1,3,2]
[6,4,8,2,3,7,1,5] => [1,2,3,2]
[8,4,6,2,7,1,3,5] => [1,2,2,3]
[6,8,4,2,7,1,3,5] => [2,1,2,3]
[4,8,2,6,7,5,1,3] => [2,3,1,2]
[8,2,4,6,7,5,1,3] => [1,4,1,2]
[8,2,6,7,4,1,3,5] => [1,3,1,3]
[8,2,6,7,1,4,3,5] => [1,3,2,2]
[6,8,2,4,1,7,3,5] => [2,2,2,2]
[8,6,2,4,1,7,3,5] => [1,1,2,2,2]
[3,7,2,6,1,5,8,4] => [2,2,3,1]
[7,5,1,6,2,4,8,3] => [1,1,2,3,1]
[4,2,5,7,1,6,8,3] => [1,3,3,1]
[3,6,5,7,2,8,1,4] => [2,2,2,2]
[4,7,5,8,1,3,6,2] => [2,2,3,1]
[7,6,2,1,8,4,5,3] => [1,1,1,2,2,1]
[3,1,5,6,4,8,2,7] => [1,3,2,2]
[2,7,6,8,4,5,3,1] => [2,2,2,1,1]
[2,4,8,6,5,3,7,1] => [3,1,1,2,1]
[5,4,8,2,6,7,1,3] => [1,2,3,2]
[2,4,8,5,6,7,3,1] => [3,3,1,1]
[2,7,4,8,6,3,5,1] => [2,2,1,2,1]
[4,5,2,3,8,7,1,6] => [2,3,1,2]
[8,5,1,3,6,7,4,2] => [1,1,4,1,1]
[3,1,5,4,6,7,2,8] => [1,2,3,2]
[2,5,4,7,6,1,3,8] => [2,2,1,3]
[5,2,3,7,6,1,4,8] => [1,3,1,3]
[4,2,3,7,6,1,5,8] => [1,3,1,3]
[4,2,7,3,5,1,6,8] => [1,2,2,3]
[5,6,2,3,8,4,7,1] => [2,3,2,1]
[5,6,2,3,1,7,8,4] => [2,2,3,1]
[5,7,2,3,4,1,6,8] => [2,3,3]
[6,2,7,3,5,1,4,8] => [1,2,2,3]
[7,2,6,3,5,1,4,8] => [1,2,2,3]
[6,5,2,3,1,7,8,4] => [1,1,2,3,1]
[6,5,2,3,8,4,7,1] => [1,1,3,2,1]
[7,5,2,1,4,6,8,3] => [1,1,1,4,1]
[8,5,2,3,1,6,4,7] => [1,1,2,2,2]
[8,6,2,3,1,5,4,7] => [1,1,2,2,2]
[8,2,6,3,1,7,4,5] => [1,2,1,2,2]
[1,6,3,4,2,7,5,8] => [2,2,2,2]
[8,5,2,7,3,4,6,1] => [1,1,2,3,1]
[1,7,2,4,5,6,8,3] => [2,5,1]
[1,8,3,2,5,6,4,7] => [2,1,3,2]
[7,2,8,1,4,6,3,5] => [1,2,3,2]
[2,7,8,1,5,6,3,4] => [3,3,2]
[6,8,2,3,1,5,4,7] => [2,2,2,2]
[5,8,2,3,1,6,4,7] => [2,2,2,2]
[5,7,2,1,4,6,8,3] => [2,1,4,1]
[4,2,7,1,5,6,8,3] => [1,2,4,1]
[4,2,3,8,1,7,5,6] => [1,3,2,2]
[4,2,1,5,3,7,6,8] => [1,1,2,2,2]
[5,1,3,8,4,6,7,2] => [1,3,3,1]
[5,1,3,2,6,7,8,4] => [1,2,4,1]
[5,1,3,4,2,7,6,8] => [1,3,2,2]
[6,1,3,4,2,7,5,8] => [1,3,2,2]
[7,2,1,3,5,8,4,6] => [1,1,4,2]
[6,8,7,2,3,4,5,1] => [2,1,4,1]
[3,7,2,8,1,4,5,6] => [2,2,4]
[5,2,3,7,4,6,1,8] => [1,3,2,2]
[2,5,3,7,4,6,1,8] => [2,2,2,2]
[2,6,7,3,4,5,1,8] => [3,3,2]
[6,2,7,3,4,5,1,8] => [1,2,3,2]
[3,8,4,5,2,1,6,7] => [2,2,1,3]
[2,7,6,3,4,5,1,8] => [2,1,3,2]
[2,8,7,5,1,3,4,6] => [2,1,1,4]
[4,5,7,2,8,3,6,1] => [3,2,2,1]
[7,5,2,6,1,8,3,4] => [1,1,2,2,2]
[6,2,5,3,7,8,4,1] => [1,2,3,1,1]
[6,2,4,3,1,7,8,5] => [1,2,1,3,1]
[5,2,1,3,6,7,8,4] => [1,1,5,1]
[1,6,5,7,2,8,3,4] => [2,2,2,2]
[6,2,5,3,7,8,1,4] => [1,2,3,2]
[7,5,2,6,1,8,4,3] => [1,1,2,2,1,1]
[6,1,5,2,7,8,4,3] => [1,2,3,1,1]
[1,6,5,7,2,8,4,3] => [2,2,2,1,1]
[7,5,6,8,1,2,4,3] => [1,3,3,1]
[7,5,6,2,8,1,4,3] => [1,2,2,2,1]
[5,2,1,4,8,7,6,3] => [1,1,3,1,1,1]
[6,2,3,5,8,7,1,4] => [1,4,1,2]
[1,5,4,6,2,8,7,3] => [2,2,2,1,1]
[7,5,1,3,6,8,4,2] => [1,1,4,1,1]
[1,5,4,6,2,8,3,7] => [2,2,2,2]
[1,5,6,4,8,2,3,7] => [3,2,3]
[7,5,6,8,2,4,3,1] => [1,3,2,1,1]
[7,5,6,2,8,4,1,3] => [1,2,2,1,2]
[6,2,1,5,8,4,7,3] => [1,1,3,2,1]
[7,5,6,8,4,1,3,2] => [1,3,1,2,1]
[8,3,7,5,1,4,2,6] => [1,2,1,2,2]
[5,4,1,8,6,2,3,7] => [1,1,2,1,3]
[5,4,1,7,6,2,3,8] => [1,1,2,1,3]
[8,1,5,7,3,6,2,4] => [1,3,2,2]
[8,3,2,6,4,5,1,7] => [1,1,2,2,2]
[8,5,3,7,4,1,2,6] => [1,1,2,1,3]
[8,5,6,2,7,1,3,4] => [1,2,2,3]
[8,4,7,2,6,5,1,3] => [1,2,2,1,2]
[8,5,7,3,2,6,1,4] => [1,2,1,2,2]
[8,1,2,3,6,4,7,5] => [1,4,2,1]
[7,6,2,3,5,8,1,4] => [1,1,4,2]
[4,5,3,7,8,1,6,2] => [2,3,2,1]
[3,4,2,8,1,6,7,5] => [2,2,3,1]
[8,3,4,1,5,7,6,2] => [1,2,3,1,1]
[4,3,7,5,1,6,2,8] => [1,2,1,2,2]
[5,2,6,1,4,3,7,8] => [1,2,2,3]
[3,5,2,8,6,7,4,1] => [2,2,2,1,1]
[5,3,7,4,2,8,6,1] => [1,2,1,2,1,1]
[3,1,5,7,4,6,8,2] => [1,3,3,1]
[7,2,5,8,6,1,4,3] => [1,3,1,2,1]
[4,3,6,1,5,7,8,2] => [1,2,4,1]
[5,3,1,4,6,7,8,2] => [1,1,5,1]
[4,6,7,1,3,5,8,2] => [3,4,1]
[5,6,1,3,4,7,2,8] => [2,4,2]
[2,5,3,7,8,4,6,1] => [2,3,2,1]
[4,6,2,1,3,7,8,5] => [2,1,4,1]
[7,1,3,8,4,5,2,6] => [1,3,2,2]
[7,1,8,3,4,6,2,5] => [1,2,3,2]
[6,3,2,7,5,8,4,1] => [1,1,2,2,1,1]
[2,5,4,1,3,6,7,8] => [2,1,5]
[5,4,1,2,6,7,3,8] => [1,1,4,2]
[6,5,2,7,4,1,3,8] => [1,1,2,1,3]
[6,7,4,3,1,5,8,2] => [2,1,1,3,1]
[3,1,6,7,8,4,5,2] => [1,4,2,1]
[7,4,5,6,2,1,8,3] => [1,3,1,2,1]
[8,2,5,6,7,3,1,4] => [1,4,1,2]
[6,4,5,2,7,1,8,3] => [1,2,2,2,1]
[3,7,5,6,2,1,8,4] => [2,2,1,2,1]
[1,7,6,3,8,4,5,2] => [2,1,2,2,1]
[5,7,8,4,2,3,1,6] => [3,1,2,2]
[6,3,1,4,5,2,7,8] => [1,1,3,3]
[6,4,1,2,7,8,3,5] => [1,1,4,2]
[6,4,1,3,5,2,7,8] => [1,1,3,3]
[6,3,4,1,7,8,2,5] => [1,2,3,2]
[5,3,4,2,6,8,1,7] => [1,2,3,2]
[6,8,1,5,3,4,2,7] => [2,2,2,2]
[4,3,5,6,1,8,2,7] => [1,3,2,2]
[5,1,8,3,4,6,2,7] => [1,2,3,2]
[6,2,8,3,4,7,1,5] => [1,2,3,2]
[5,7,3,6,1,4,2,8] => [2,2,2,2]
[4,5,8,2,3,7,1,6] => [3,3,2]
[7,3,4,8,2,5,1,6] => [1,3,2,2]
[6,2,3,5,1,8,4,7] => [1,3,2,2]
[6,8,1,5,4,2,3,7] => [2,2,1,3]
[6,2,4,7,3,1,5,8] => [1,3,1,3]
[4,7,2,5,1,6,8,3] => [2,2,3,1]
[3,1,4,5,8,2,7,6] => [1,4,2,1]
[4,7,3,1,8,2,6,5] => [2,1,2,2,1]
[6,2,3,8,5,1,4,7] => [1,3,1,3]
[6,2,3,8,4,7,1,5] => [1,3,2,2]
[6,2,5,1,3,8,4,7] => [1,2,3,2]
[5,1,2,8,4,6,3,7] => [1,3,2,2]
[5,1,3,7,4,6,2,8] => [1,3,2,2]
[5,1,4,6,2,8,3,7] => [1,3,2,2]
[3,2,4,6,5,8,1,7] => [1,3,2,2]
[6,3,1,7,4,2,5,8] => [1,1,2,1,3]
[8,7,2,1,5,3,6,4] => [1,1,1,2,2,1]
[6,8,5,3,7,4,2,1] => [2,1,2,1,1,1]
[7,2,8,1,5,6,4,3] => [1,2,3,1,1]
[7,5,6,1,4,8,2,3] => [1,2,3,2]
[5,6,4,2,1,8,3,7] => [2,1,1,2,2]
[6,8,1,3,2,7,5,4] => [2,2,2,1,1]
[5,7,3,6,4,1,2,8] => [2,2,1,3]
[7,2,4,3,8,1,5,6] => [1,2,2,3]
[2,4,3,5,8,1,6,7] => [2,3,3]
[5,8,2,6,7,4,3,1] => [2,3,1,1,1]
[3,7,5,1,6,4,2,8] => [2,1,2,1,2]
[8,2,5,7,3,4,6,1] => [1,3,3,1]
[2,6,5,3,8,1,4,7] => [2,1,2,3]
[5,2,7,4,8,6,3,1] => [1,2,2,1,1,1]
[6,2,5,8,1,7,3,4] => [1,3,2,2]
[6,1,2,4,3,5,7,8] => [1,3,4]
[5,6,7,4,1,3,8,2] => [3,1,3,1]
[8,5,6,1,4,2,7,3] => [1,2,2,2,1]
[5,8,6,1,4,2,7,3] => [2,1,2,2,1]
[6,5,8,2,7,3,4,1] => [1,2,2,2,1]
[7,6,1,2,4,3,5,8] => [1,1,3,3]
[5,6,7,4,1,3,2,8] => [3,1,2,2]
[1,7,6,8,4,3,2,5] => [2,2,1,1,2]
[1,7,6,5,3,8,2,4] => [2,1,1,2,2]
[6,4,5,7,1,3,2,8] => [1,3,2,2]
[6,1,2,4,3,5,8,7] => [1,3,3,1]
[6,1,2,4,3,7,5,8] => [1,3,2,2]
[7,4,5,8,2,3,6,1] => [1,3,3,1]
[4,6,1,3,7,8,5,2] => [2,4,1,1]
[8,4,1,5,2,6,7,3] => [1,1,2,3,1]
[7,1,2,4,3,5,8,6] => [1,3,3,1]
[1,5,6,3,8,7,2,4] => [3,2,1,2]
[5,6,8,4,7,1,3,2] => [3,2,2,1]
[5,3,2,6,8,7,1,4] => [1,1,3,1,2]
[6,3,5,2,7,1,4,8] => [1,2,2,3]
[8,5,2,6,7,1,4,3] => [1,1,3,2,1]
[6,8,7,2,4,1,5,3] => [2,1,2,2,1]
[5,3,8,7,1,4,2,6] => [1,2,1,2,2]
[6,4,5,3,1,8,7,2] => [1,2,1,2,1,1]
[8,5,1,2,3,6,7,4] => [1,1,5,1]
[2,8,6,1,5,4,7,3] => [2,1,2,2,1]
[8,3,2,6,1,5,7,4] => [1,1,2,3,1]
[3,8,6,4,7,1,2,5] => [2,1,2,3]
[1,8,7,5,4,3,2,6] => [2,1,1,1,1,2]
[8,6,4,7,1,3,2,5] => [1,1,2,2,2]
[3,1,4,7,6,2,5,8] => [1,3,1,3]
[5,4,7,1,6,3,2,8] => [1,2,2,1,2]
[5,3,4,1,6,2,7,8] => [1,2,2,3]
[2,7,1,4,6,3,5,8] => [2,3,3]
[7,3,1,6,5,2,4,8] => [1,1,2,1,3]
[7,1,5,2,4,6,3,8] => [1,2,3,2]
[6,1,4,5,2,7,3,8] => [1,3,2,2]
[6,1,5,8,2,7,4,3] => [1,3,2,1,1]
[7,1,2,3,6,4,5,8] => [1,4,3]
[6,3,1,8,5,4,7,2] => [1,1,2,1,2,1]
[3,1,8,7,5,4,6,2] => [1,2,1,1,2,1]
[1,8,3,7,5,4,6,2] => [2,2,1,2,1]
[6,1,3,8,7,4,5,2] => [1,3,1,2,1]
[5,6,1,3,7,4,8,2] => [2,3,2,1]
[1,6,3,8,5,4,7,2] => [2,2,1,2,1]
[8,2,5,6,1,3,7,4] => [1,3,3,1]
[2,8,4,6,5,1,7,3] => [2,2,1,2,1]
[7,4,1,3,6,5,2,8] => [1,1,3,1,2]
[5,3,4,7,1,8,2,6] => [1,3,2,2]
[7,8,1,6,4,3,2,5] => [2,2,1,1,2]
[8,5,1,7,6,3,2,4] => [1,1,2,1,1,2]
[6,8,7,2,1,3,5,4] => [2,1,1,3,1]
[5,7,2,8,1,3,6,4] => [2,2,3,1]
[7,6,8,3,1,5,2,4] => [1,2,1,2,2]
[3,1,4,8,2,7,6,5] => [1,3,2,1,1]
[5,4,1,2,6,3,8,7] => [1,1,3,2,1]
[3,8,4,6,1,2,7,5] => [2,2,3,1]
[6,3,1,4,8,7,2,5] => [1,1,3,1,2]
[3,4,7,5,1,8,2,6] => [3,1,2,2]
[6,5,1,4,7,3,2,8] => [1,1,3,1,2]
[8,4,5,1,7,3,2,6] => [1,2,2,1,2]
[2,7,8,4,1,3,6,5] => [3,1,3,1]
[2,4,6,5,7,8,1,3] => [3,3,2]
[2,4,6,7,5,8,1,3] => [4,2,2]
[2,4,6,3,7,8,1,5] => [3,3,2]
[2,4,5,6,8,7,1,3] => [5,1,2]
[2,4,5,6,8,3,7,1] => [5,2,1]
[2,4,5,6,3,8,1,7] => [4,2,2]
[2,3,4,6,8,5,1,7] => [5,1,2]
[1,8,6,3,4,7,5,2] => [2,1,3,1,1]
[8,6,5,1,4,2,7,3] => [1,1,1,2,2,1]
[1,6,3,5,8,4,7,2] => [2,3,2,1]
[5,2,8,3,4,1,6,7] => [1,2,2,3]
[3,6,4,1,2,7,8,5] => [2,1,4,1]
[4,1,7,3,8,6,2,5] => [1,2,2,1,2]
[6,1,8,5,4,3,2,7] => [1,2,1,1,1,2]
[8,2,1,6,4,5,3,7] => [1,1,2,2,2]
[5,3,6,4,1,8,2,7] => [1,2,1,2,2]
[8,4,1,2,5,3,7,6] => [1,1,3,2,1]
[1,5,2,7,6,8,4,3] => [2,2,2,1,1]
[8,1,5,6,2,7,3,4] => [1,3,2,2]
[6,5,2,8,1,3,7,4] => [1,1,2,3,1]
[4,5,2,1,6,3,7,8] => [2,1,2,3]
[8,2,1,5,4,6,7,3] => [1,1,2,3,1]
[7,2,5,4,1,6,8,3] => [1,2,1,3,1]
[5,7,6,4,3,1,2,8] => [2,1,1,1,3]
[4,6,8,7,1,3,2,5] => [3,1,2,2]
[4,7,6,8,3,1,2,5] => [2,2,1,3]
[1,7,8,6,3,5,2,4] => [3,1,2,2]
[4,8,2,7,6,5,1,3] => [2,2,1,1,2]
[7,4,2,8,6,5,1,3] => [1,1,2,1,1,2]
[8,6,5,2,7,1,4,3] => [1,1,1,2,2,1]
[6,5,8,2,7,1,4,3] => [1,2,2,2,1]
[7,5,8,2,1,6,4,3] => [1,2,1,2,1,1]
[3,2,1,6,5,8,4,7] => [1,1,2,2,2]
[2,6,4,8,5,7,3,1] => [2,2,2,1,1]
[6,3,1,4,5,8,2,7] => [1,1,4,2]
[3,4,8,5,2,1,7,6] => [3,1,1,2,1]
[4,8,7,1,3,2,6,5] => [2,1,2,2,1]
[5,8,7,4,6,1,3,2] => [2,1,2,2,1]
[3,4,1,8,7,6,2,5] => [2,2,1,1,2]
[1,3,5,6,8,7,2,4] => [5,1,2]
[2,8,7,5,4,1,6,3] => [2,1,1,1,2,1]
[8,1,5,7,4,2,6,3] => [1,3,1,2,1]
[5,8,7,3,4,1,6,2] => [2,1,2,2,1]
[4,6,1,3,2,8,5,7] => [2,2,2,2]
[2,6,5,8,3,1,4,7] => [2,2,1,3]
[6,7,8,2,4,5,3,1] => [3,3,1,1]
[3,2,8,4,5,7,1,6] => [1,2,3,2]
[6,1,8,2,4,5,3,7] => [1,2,3,2]
[8,3,6,4,2,7,1,5] => [1,2,1,2,2]
[1,3,8,4,7,6,2,5] => [3,2,1,2]
[8,3,7,5,4,1,2,6] => [1,2,1,1,3]
[2,6,4,7,8,5,1,3] => [2,3,1,2]
[5,4,3,7,6,1,8,2] => [1,1,2,1,2,1]
[8,6,3,7,1,4,2,5] => [1,1,2,2,2]
[3,1,2,8,7,6,4,5] => [1,3,1,1,2]
[8,5,4,1,2,3,7,6] => [1,1,1,4,1]
[8,3,2,1,6,4,7,5] => [1,1,1,2,2,1]
[2,3,8,4,1,7,5,6] => [3,1,2,2]
[4,6,1,3,2,7,8,5] => [2,2,3,1]
[6,7,2,5,8,4,1,3] => [2,3,1,2]
[4,1,7,8,2,5,6,3] => [1,3,3,1]
[3,4,6,7,1,5,8,2] => [4,3,1]
[3,4,5,7,8,1,6,2] => [5,2,1]
[1,8,7,4,3,5,2,6] => [2,1,1,2,2]
[2,6,7,5,1,4,3,8] => [3,1,2,2]
[4,5,2,8,1,3,7,6] => [2,2,3,1]
[8,3,6,5,1,4,7,2] => [1,2,1,3,1]
[2,4,5,8,1,3,7,6] => [4,3,1]
[1,4,3,5,8,7,2,6] => [2,3,1,2]
[6,2,3,1,7,4,5,8] => [1,2,2,3]
[7,2,3,8,1,6,4,5] => [1,3,2,2]
[8,2,7,4,6,3,1,5] => [1,2,2,1,2]
[6,1,3,4,7,8,2,5] => [1,5,2]
[2,5,3,6,7,8,1,4] => [2,4,2]
[1,5,6,2,7,8,4,3] => [3,3,1,1]
[5,1,8,4,3,7,6,2] => [1,2,1,2,1,1]
[8,4,3,1,6,7,5,2] => [1,1,1,3,1,1]
[5,2,4,1,6,7,3,8] => [1,2,3,2]
[8,2,1,3,6,7,5,4] => [1,1,4,1,1]
[4,2,1,8,6,7,5,3] => [1,1,2,2,1,1]
[1,7,8,2,6,3,4,5] => [3,2,3]
[2,7,8,6,5,3,1,4] => [3,1,1,1,2]
[6,5,7,1,2,4,8,3] => [1,2,4,1]
[8,6,2,5,3,4,1,7] => [1,1,2,2,2]
[7,2,8,1,3,5,4,6] => [1,2,3,2]
[5,2,4,6,7,8,1,3] => [1,5,2]
[8,5,1,4,6,7,2,3] => [1,1,4,2]
[8,1,4,6,5,7,3,2] => [1,3,2,1,1]
[6,3,1,5,8,4,2,7] => [1,1,3,1,2]
[2,8,3,5,6,1,4,7] => [2,3,3]
[1,3,6,4,2,7,5,8] => [3,1,2,2]
[2,3,7,5,8,1,4,6] => [3,2,3]
[3,2,8,5,6,1,4,7] => [1,2,2,3]
[7,2,5,8,1,4,6,3] => [1,3,3,1]
[4,7,5,8,1,2,6,3] => [2,2,3,1]
[4,7,5,8,1,2,3,6] => [2,2,4]
[3,4,7,5,2,8,1,6] => [3,1,2,2]
[4,3,2,5,7,8,1,6] => [1,1,4,2]
[2,4,7,5,8,3,1,6] => [3,2,1,2]
[2,5,4,7,3,8,1,6] => [2,2,2,2]
[3,7,8,4,2,1,6,5] => [3,1,1,2,1]
[4,3,5,6,8,1,2,7] => [1,4,3]
[4,6,5,8,1,2,3,7] => [2,2,4]
[4,8,2,7,6,3,1,5] => [2,2,1,1,2]
[8,5,4,7,6,3,1,2] => [1,1,2,1,1,2]
[6,1,3,4,8,7,5,2] => [1,4,1,1,1]
[6,3,4,8,7,5,2,1] => [1,3,1,1,1,1]
[6,8,1,4,5,2,7,3] => [2,3,2,1]
[3,6,1,8,5,7,2,4] => [2,2,2,2]
[1,5,4,8,7,6,2,3] => [2,2,1,1,2]
[3,2,4,5,8,1,6,7] => [1,4,3]
[1,4,7,8,2,5,3,6] => [4,2,2]
[3,8,4,2,7,6,1,5] => [2,1,2,1,2]
[3,6,8,4,2,7,1,5] => [3,1,2,2]
[3,7,5,1,6,2,8,4] => [2,1,2,2,1]
[4,8,3,7,6,2,1,5] => [2,2,1,1,2]
[1,4,7,6,3,8,2,5] => [3,1,2,2]
[4,6,8,3,7,2,1,5] => [3,2,1,2]
[3,6,5,1,7,2,8,4] => [2,1,2,2,1]
[7,4,1,6,2,8,5,3] => [1,1,2,2,1,1]
[7,4,2,8,5,1,6,3] => [1,1,2,1,2,1]
[1,3,6,8,2,4,7,5] => [4,3,1]
[6,8,3,7,4,2,1,5] => [2,2,1,1,2]
[1,6,7,4,3,8,2,5] => [3,1,2,2]
[7,3,1,6,5,2,8,4] => [1,1,2,1,2,1]
[6,1,8,5,4,2,7,3] => [1,2,1,1,2,1]
[8,5,4,2,7,1,6,3] => [1,1,1,2,2,1]
[4,6,1,8,5,2,7,3] => [2,2,1,2,1]
[4,8,5,1,6,2,7,3] => [2,1,2,2,1]
[8,5,4,1,6,2,7,3] => [1,1,1,2,2,1]
[5,7,3,1,6,2,8,4] => [2,1,2,2,1]
[1,5,8,2,6,3,7,4] => [3,2,2,1]
[5,6,3,1,7,2,8,4] => [2,1,2,2,1]
[4,7,2,8,5,1,6,3] => [2,2,1,2,1]
[4,6,1,7,2,8,5,3] => [2,2,2,1,1]
[2,4,3,8,7,5,1,6] => [2,2,1,1,2]
[3,5,4,1,8,6,2,7] => [2,1,2,1,2]
[6,5,7,3,1,4,8,2] => [1,2,1,3,1]
[4,1,5,8,2,6,3,7] => [1,3,2,2]
[3,2,4,7,5,1,8,6] => [1,3,1,2,1]
[4,3,5,8,6,1,2,7] => [1,3,1,3]
[2,8,1,3,4,7,6,5] => [2,4,1,1]
[4,3,5,8,6,2,1,7] => [1,3,1,1,2]
[7,8,6,2,1,5,4,3] => [2,1,1,2,1,1]
[7,8,6,2,1,4,5,3] => [2,1,1,3,1]
[2,1,3,7,5,8,6,4] => [1,3,2,1,1]
[3,2,4,8,6,5,1,7] => [1,3,1,1,2]
[8,6,2,7,3,5,1,4] => [1,1,2,2,2]
[2,8,6,1,3,7,5,4] => [2,1,3,1,1]
[6,7,5,2,4,8,1,3] => [2,1,3,2]
[7,6,8,4,2,5,1,3] => [1,2,1,2,2]
[8,6,7,2,3,5,1,4] => [1,2,3,2]
[7,8,6,2,4,5,1,3] => [2,1,3,2]
[2,1,3,8,7,5,6,4] => [1,3,1,2,1]
[8,1,7,3,6,5,2,4] => [1,2,2,1,2]
[1,6,4,7,3,8,5,2] => [2,2,2,1,1]
[4,5,7,6,1,2,3,8] => [3,1,4]
[3,6,5,7,1,2,4,8] => [2,2,4]
[4,8,1,6,3,7,2,5] => [2,2,2,2]
[4,8,5,6,3,2,7,1] => [2,2,1,2,1]
[1,7,8,6,4,5,2,3] => [3,1,2,2]
[6,7,2,1,4,8,5,3] => [2,1,3,1,1]
[2,6,4,8,5,7,1,3] => [2,2,2,2]
[6,4,2,5,8,7,1,3] => [1,1,3,1,2]
[8,5,4,1,6,3,7,2] => [1,1,1,2,2,1]
[1,8,6,3,4,5,7,2] => [2,1,4,1]
[3,7,8,6,4,5,1,2] => [3,1,2,2]
[1,7,6,2,4,8,5,3] => [2,1,3,1,1]
[8,2,7,3,6,5,1,4] => [1,2,2,1,2]
[7,2,8,6,1,4,5,3] => [1,2,1,3,1]
[5,2,7,3,4,8,6,1] => [1,2,3,1,1]
[5,7,3,2,4,8,6,1] => [2,1,3,1,1]
[2,6,8,5,4,3,1,7] => [3,1,1,1,2]
[2,8,4,6,3,5,1,7] => [2,2,2,2]
[1,8,4,3,5,6,2,7] => [2,1,3,2]
[2,7,8,3,6,4,5,1] => [3,2,2,1]
[8,3,1,4,2,5,6,7] => [1,1,2,4]
[2,6,4,8,5,3,1,7] => [2,2,1,1,2]
[3,8,1,4,6,5,2,7] => [2,3,1,2]
[2,7,5,4,1,8,3,6] => [2,1,1,2,2]
[4,6,1,8,5,3,2,7] => [2,2,1,1,2]
[3,8,5,2,1,6,4,7] => [2,1,1,2,2]
[5,1,4,8,2,6,3,7] => [1,3,2,2]
[4,5,8,1,3,7,6,2] => [3,3,1,1]
[8,6,7,1,4,3,2,5] => [1,2,2,1,2]
[1,4,7,8,6,3,5,2] => [4,1,2,1]
[8,5,2,6,3,4,7,1] => [1,1,2,3,1]
[8,3,6,1,2,7,4,5] => [1,2,3,2]
[3,8,6,1,2,5,7,4] => [2,1,4,1]
[3,7,6,2,1,8,5,4] => [2,1,1,2,1,1]
[4,3,7,6,1,8,5,2] => [1,2,1,2,1,1]
[8,6,3,2,7,1,5,4] => [1,1,1,2,2,1]
[6,8,1,5,4,7,2,3] => [2,2,2,2]
[6,7,2,5,4,8,1,3] => [2,2,2,2]
[7,6,2,4,8,5,1,3] => [1,1,3,1,2]
[4,6,8,7,3,1,2,5] => [3,1,1,3]
[8,7,5,2,1,4,3,6] => [1,1,1,1,2,2]
[5,7,2,1,6,3,4,8] => [2,1,2,3]
[5,3,6,8,7,4,1,2] => [1,3,1,1,2]
[4,3,1,7,2,5,6,8] => [1,1,2,4]
[7,8,4,6,2,3,5,1] => [2,2,3,1]
[5,7,2,6,8,3,4,1] => [2,3,2,1]
[2,6,8,1,7,3,5,4] => [3,2,2,1]
[7,3,4,5,2,1,8,6] => [1,3,1,2,1]
[7,3,4,5,2,8,6,1] => [1,3,2,1,1]
[4,7,5,2,6,3,8,1] => [2,1,2,2,1]
[3,5,6,2,8,1,4,7] => [3,2,3]
[4,8,5,2,6,3,7,1] => [2,1,2,2,1]
[2,7,4,6,1,3,5,8] => [2,2,4]
[3,1,8,6,7,2,5,4] => [1,2,2,2,1]
[8,7,2,5,6,4,1,3] => [1,1,3,1,2]
[2,7,4,6,8,3,1,5] => [2,3,1,2]
[7,1,5,6,8,4,2,3] => [1,4,1,2]
[8,1,2,5,6,4,7,3] => [1,4,2,1]
[2,8,5,1,6,3,7,4] => [2,1,2,2,1]
[5,1,2,4,3,7,6,8] => [1,3,2,2]
[6,1,8,2,4,3,5,7] => [1,2,2,3]
[7,6,1,5,3,4,2,8] => [1,1,2,2,2]
[7,6,1,3,5,4,2,8] => [1,1,3,1,2]
[7,2,4,1,3,6,5,8] => [1,2,3,2]
[7,6,2,3,1,5,4,8] => [1,1,2,2,2]
[1,6,8,2,5,3,4,7] => [3,2,3]
[8,5,2,7,3,6,4,1] => [1,1,2,2,1,1]
[3,6,4,1,8,2,5,7] => [2,1,2,3]
[8,7,6,2,4,5,1,3] => [1,1,1,3,2]
[8,5,2,7,3,6,1,4] => [1,1,2,2,2]
[5,3,8,1,7,4,6,2] => [1,2,2,2,1]
[8,7,6,2,4,5,3,1] => [1,1,1,3,1,1]
[8,7,4,6,3,1,5,2] => [1,1,2,1,2,1]
[8,7,5,6,1,3,2,4] => [1,1,2,2,2]
[5,4,8,7,1,2,6,3] => [1,2,1,3,1]
[1,8,7,5,4,2,6,3] => [2,1,1,1,2,1]
[8,1,2,6,5,4,7,3] => [1,3,1,2,1]
[2,5,6,4,3,8,1,7] => [3,1,2,2]
[1,2,5,6,4,8,3,7] => [4,2,2]
[4,1,8,5,2,7,3,6] => [1,2,1,2,2]
[8,7,3,5,1,4,6,2] => [1,1,2,3,1]
[8,6,3,5,2,1,4,7] => [1,1,2,1,3]
[4,6,3,1,8,2,5,7] => [2,1,2,3]
[8,4,5,2,1,7,3,6] => [1,2,1,2,2]
[8,7,3,5,2,6,1,4] => [1,1,2,2,2]
[8,7,3,5,2,4,6,1] => [1,1,2,3,1]
[8,4,2,7,6,5,1,3] => [1,1,2,1,1,2]
[3,2,1,7,4,8,6,5] => [1,1,2,2,1,1]
[2,6,3,4,8,1,7,5] => [2,3,2,1]
[7,5,3,4,2,8,6,1] => [1,1,2,2,1,1]
[4,6,3,8,5,2,7,1] => [2,2,1,2,1]
[1,8,7,6,2,3,5,4] => [2,1,1,3,1]
[8,7,1,4,5,6,2,3] => [1,1,4,2]
[8,4,3,1,5,6,2,7] => [1,1,1,3,2]
[4,1,3,8,5,6,2,7] => [1,3,2,2]
[7,1,8,4,5,6,2,3] => [1,2,3,2]
[2,7,8,4,5,6,1,3] => [3,3,2]
[5,2,4,7,1,6,3,8] => [1,3,2,2]
[3,2,1,5,8,7,4,6] => [1,1,3,1,2]
[5,2,8,3,1,6,7,4] => [1,2,1,3,1]
[6,8,3,4,2,1,5,7] => [2,2,1,3]
[7,8,3,4,2,6,5,1] => [2,2,2,1,1]
[1,7,8,6,3,2,5,4] => [3,1,1,2,1]
[3,7,2,4,5,6,1,8] => [2,4,2]
[2,7,1,4,5,6,3,8] => [2,4,2]
[3,2,8,1,5,7,4,6] => [1,2,3,2]
[8,1,7,4,5,6,3,2] => [1,2,3,1,1]
[3,4,6,7,2,1,5,8] => [4,1,3]
[2,3,1,7,4,6,8,5] => [2,2,3,1]
[1,2,6,5,7,3,4,8] => [3,2,3]
[7,8,6,5,1,3,4,2] => [2,1,1,3,1]
[7,2,5,4,6,8,3,1] => [1,2,3,1,1]
[4,3,5,1,6,7,2,8] => [1,2,3,2]
[6,4,1,7,8,3,5,2] => [1,1,3,2,1]
[2,6,7,1,4,3,8,5] => [3,2,2,1]
[5,7,6,2,1,8,3,4] => [2,1,1,2,2]
[6,3,7,4,5,1,2,8] => [1,2,2,3]
[4,2,5,3,8,6,7,1] => [1,2,2,2,1]
[3,2,7,4,8,5,6,1] => [1,2,2,2,1]
[6,3,8,5,4,2,7,1] => [1,2,1,1,2,1]
[7,4,6,1,3,5,2,8] => [1,2,3,2]
[1,5,3,8,7,4,6,2] => [2,2,1,2,1]
[5,1,3,8,7,4,6,2] => [1,3,1,2,1]
[2,5,3,8,7,4,1,6] => [2,2,1,1,2]
[6,8,3,5,1,2,7,4] => [2,2,3,1]
[5,8,2,7,4,6,3,1] => [2,2,2,1,1]
[4,5,2,8,3,7,1,6] => [2,2,2,2]
[7,8,5,1,6,4,3,2] => [2,1,2,1,1,1]
[8,7,5,1,6,4,3,2] => [1,1,1,2,1,1,1]
[4,5,8,3,1,2,7,6] => [3,1,3,1]
[4,6,8,3,2,1,7,5] => [3,1,1,2,1]
[4,6,8,3,5,1,2,7] => [3,2,3]
[4,5,8,3,1,6,2,7] => [3,1,2,2]
[4,6,7,3,5,2,1,8] => [3,2,1,2]
[5,4,2,6,1,7,3,8] => [1,1,2,2,2]
[7,2,6,3,4,8,1,5] => [1,2,3,2]
[1,8,5,2,4,3,7,6] => [2,1,2,2,1]
[2,5,1,3,4,8,7,6] => [2,4,1,1]
[1,4,6,3,7,5,2,8] => [3,2,1,2]
[6,5,8,3,4,7,2,1] => [1,2,3,1,1]
[4,5,2,6,8,7,3,1] => [2,3,1,1,1]
[4,7,6,3,1,5,2,8] => [2,1,1,2,2]
[1,7,6,3,8,5,2,4] => [2,1,2,1,2]
[3,7,8,1,4,5,6,2] => [3,4,1]
[2,7,3,1,4,5,6,8] => [2,1,5]
[1,8,7,4,2,5,6,3] => [2,1,1,3,1]
[1,8,4,2,7,5,6,3] => [2,1,2,2,1]
[6,4,1,3,7,5,8,2] => [1,1,3,2,1]
[1,3,8,7,4,5,6,2] => [3,1,3,1]
[7,3,1,8,4,5,6,2] => [1,1,2,3,1]
[3,2,8,7,4,5,6,1] => [1,2,1,3,1]
[6,2,4,3,7,5,8,1] => [1,2,2,2,1]
[2,6,4,3,7,5,1,8] => [2,1,2,1,2]
[6,4,2,5,1,7,8,3] => [1,1,2,3,1]
[3,8,2,1,5,7,6,4] => [2,1,3,1,1]
[1,8,3,2,5,7,6,4] => [2,1,3,1,1]
[1,3,2,8,7,4,6,5] => [2,2,1,2,1]
[3,8,2,1,7,4,6,5] => [2,1,2,2,1]
[7,5,2,8,3,1,6,4] => [1,1,2,1,2,1]
[4,6,7,3,2,5,1,8] => [3,1,2,2]
[1,8,4,7,3,5,6,2] => [2,2,3,1]
[5,4,2,7,3,8,6,1] => [1,1,2,2,1,1]
[5,7,2,1,3,8,6,4] => [2,1,3,1,1]
[4,6,3,7,8,1,2,5] => [2,3,3]
[4,6,2,7,1,5,8,3] => [2,2,3,1]
[2,7,5,4,1,6,8,3] => [2,1,1,3,1]
[6,8,5,4,7,1,2,3] => [2,1,2,3]
[8,3,5,4,7,1,2,6] => [1,2,2,3]
[6,2,5,4,8,7,3,1] => [1,2,2,1,1,1]
[6,2,5,4,1,7,8,3] => [1,2,1,3,1]
[8,2,5,1,3,6,7,4] => [1,2,4,1]
[8,1,6,4,3,2,7,5] => [1,2,1,1,2,1]
[5,1,8,4,3,2,7,6] => [1,2,1,1,2,1]
[4,1,5,6,3,8,7,2] => [1,3,2,1,1]
[8,5,1,6,3,2,4,7] => [1,1,2,1,3]
[6,8,7,4,3,2,5,1] => [2,1,1,1,2,1]
[1,7,8,4,3,2,5,6] => [3,1,1,3]
[1,8,6,4,3,2,5,7] => [2,1,1,1,3]
[8,1,6,5,3,2,4,7] => [1,2,1,1,3]
[8,2,1,4,5,6,3,7] => [1,1,4,2]
[8,1,5,4,6,7,3,2] => [1,2,3,1,1]
[2,8,5,6,3,7,4,1] => [2,2,2,1,1]
[5,6,8,3,1,2,4,7] => [3,1,4]
[2,8,5,1,3,7,6,4] => [2,1,3,1,1]
[2,4,5,8,3,7,6,1] => [4,2,1,1]
[8,3,5,4,1,7,6,2] => [1,2,1,2,1,1]
[8,2,3,4,1,6,5,7] => [1,3,2,2]
[8,1,4,6,3,2,5,7] => [1,3,1,3]
[5,6,4,1,8,2,7,3] => [2,1,2,2,1]
[6,4,5,1,3,8,7,2] => [1,2,3,1,1]
[6,1,3,5,4,8,2,7] => [1,3,2,2]
[1,3,8,7,2,5,6,4] => [3,1,3,1]
[2,5,4,1,8,3,7,6] => [2,1,2,2,1]
[5,1,4,8,3,7,6,2] => [1,3,2,1,1]
[8,4,1,2,7,6,5,3] => [1,1,3,1,1,1]
[4,8,3,2,7,6,5,1] => [2,1,2,1,1,1]
[1,8,7,3,4,6,5,2] => [2,1,3,1,1]
[5,3,1,2,4,6,8,7] => [1,1,5,1]
[8,5,7,3,1,2,4,6] => [1,2,1,4]
[3,1,2,8,7,5,4,6] => [1,3,1,1,2]
[2,5,8,4,1,3,6,7] => [3,1,4]
[5,1,3,2,8,4,6,7] => [1,2,2,3]
[1,4,8,3,5,2,6,7] => [3,2,3]
[1,4,3,8,5,7,2,6] => [2,2,2,2]
[1,8,3,4,7,5,2,6] => [2,3,1,2]
[6,7,1,5,2,8,4,3] => [2,2,2,1,1]
[1,5,3,7,6,4,8,2] => [2,2,1,2,1]
[4,8,1,3,6,2,7,5] => [2,3,2,1]
[2,7,3,4,8,6,5,1] => [2,3,1,1,1]
[1,8,2,4,7,3,6,5] => [2,3,2,1]
[5,8,1,7,3,2,4,6] => [2,2,1,3]
[2,7,4,3,5,8,6,1] => [2,1,3,1,1]
[8,7,3,6,2,1,4,5] => [1,1,2,1,3]
[2,1,5,8,3,4,7,6] => [1,3,3,1]
[3,8,5,1,2,7,4,6] => [2,1,3,2]
[2,7,1,6,5,8,3,4] => [2,2,2,2]
[6,2,3,8,1,5,7,4] => [1,3,3,1]
[6,2,3,5,7,4,8,1] => [1,4,2,1]
[6,4,7,5,3,8,2,1] => [1,2,1,2,1,1]
[2,5,7,4,8,3,6,1] => [3,2,2,1]
[8,5,6,2,4,7,1,3] => [1,2,3,2]
[6,3,1,5,8,2,7,4] => [1,1,3,2,1]
[5,6,1,7,3,4,8,2] => [2,2,3,1]
[4,8,5,6,7,1,3,2] => [2,3,2,1]
[5,1,2,6,8,7,4,3] => [1,4,1,1,1]
[1,3,4,6,8,2,7,5] => [5,2,1]
[4,2,8,7,5,6,3,1] => [1,2,1,2,1,1]
[5,1,7,2,6,8,4,3] => [1,2,3,1,1]
[8,1,5,7,3,6,4,2] => [1,3,2,1,1]
[6,5,1,8,2,4,7,3] => [1,1,2,3,1]
[4,3,7,1,2,8,5,6] => [1,2,3,2]
[2,6,7,3,8,4,5,1] => [3,2,2,1]
[2,7,6,4,3,8,5,1] => [2,1,1,2,1,1]
[5,1,7,4,6,2,3,8] => [1,2,2,3]
[4,2,7,5,3,6,1,8] => [1,2,1,2,2]
[3,8,6,2,7,5,4,1] => [2,1,2,1,1,1]
[3,1,7,6,5,2,4,8] => [1,2,1,1,3]
[4,8,1,6,2,5,3,7] => [2,2,2,2]
[6,8,2,7,5,1,3,4] => [2,2,1,3]
[1,8,4,2,5,7,3,6] => [2,1,3,2]
[5,8,3,1,2,4,6,7] => [2,1,5]
[8,5,3,1,4,2,6,7] => [1,1,1,2,3]
[1,4,8,5,2,3,6,7] => [3,1,4]
[1,4,8,5,2,3,7,6] => [3,1,3,1]
[7,2,5,8,1,4,3,6] => [1,3,2,2]
[7,1,4,2,6,8,3,5] => [1,2,3,2]
[1,7,5,8,6,2,3,4] => [2,2,1,3]
[8,4,6,1,2,7,3,5] => [1,2,3,2]
[8,4,7,1,2,6,3,5] => [1,2,3,2]
[1,5,8,7,2,4,3,6] => [3,1,2,2]
[1,5,4,2,8,3,7,6] => [2,1,2,2,1]
[1,2,8,7,3,5,4,6] => [3,1,2,2]
[8,7,1,3,2,5,4,6] => [1,1,2,2,2]
[3,7,1,2,6,8,4,5] => [2,4,2]
[6,7,4,2,8,1,3,5] => [2,1,2,3]
[4,1,6,8,7,2,3,5] => [1,3,1,3]
[4,1,6,8,2,7,3,5] => [1,3,2,2]
[6,8,3,7,4,1,2,5] => [2,2,1,3]
[1,2,5,7,6,8,3,4] => [4,2,2]
[4,7,5,6,2,8,3,1] => [2,2,2,1,1]
[8,4,3,6,7,5,2,1] => [1,1,3,1,1,1]
[6,7,5,2,8,4,3,1] => [2,1,2,1,1,1]
[6,8,4,3,2,7,5,1] => [2,1,1,2,1,1]
[6,5,1,4,7,8,2,3] => [1,1,4,2]
[2,7,6,3,5,4,8,1] => [2,1,2,2,1]
[3,8,1,5,7,6,2,4] => [2,3,1,2]
[6,1,7,3,5,8,2,4] => [1,2,3,2]
[7,5,4,1,8,3,6,2] => [1,1,1,2,2,1]
[7,1,2,8,4,6,3,5] => [1,3,2,2]
[8,6,1,7,5,3,4,2] => [1,1,2,1,2,1]
[8,2,6,3,5,7,4,1] => [1,2,3,1,1]
[1,3,7,6,4,8,2,5] => [3,1,2,2]
[1,8,6,5,7,2,4,3] => [2,1,2,2,1]
[2,8,7,6,4,1,5,3] => [2,1,1,1,2,1]
[2,6,4,8,7,3,1,5] => [2,2,1,1,2]
[2,1,8,7,3,5,4,6] => [1,2,1,2,2]
[5,4,2,8,7,6,3,1] => [1,1,2,1,1,1,1]
[6,2,5,8,7,4,3,1] => [1,3,1,1,1,1]
[6,1,5,8,7,4,3,2] => [1,3,1,1,1,1]
[6,1,8,5,7,4,3,2] => [1,2,2,1,1,1]
[8,5,1,4,7,6,3,2] => [1,1,3,1,1,1]
[8,1,4,2,7,6,5,3] => [1,2,2,1,1,1]
[8,6,1,2,5,7,4,3] => [1,1,4,1,1]
[8,1,3,7,2,4,6,5] => [1,3,3,1]
[2,6,7,3,5,8,4,1] => [3,3,1,1]
[2,6,7,3,5,8,1,4] => [3,3,2]
[5,3,1,6,4,8,2,7] => [1,1,2,2,2]
[2,5,6,7,1,4,8,3] => [4,3,1]
[2,7,3,5,8,4,6,1] => [2,3,2,1]
[4,7,5,3,2,8,1,6] => [2,1,1,2,2]
[5,2,3,6,8,4,1,7] => [1,4,1,2]
[4,7,5,2,8,6,1,3] => [2,1,2,1,2]
[3,7,6,4,8,2,5,1] => [2,1,2,2,1]
[3,4,2,5,7,1,8,6] => [2,3,2,1]
[5,1,3,6,8,2,4,7] => [1,4,3]
[5,1,3,6,8,2,7,4] => [1,4,2,1]
[2,7,6,1,5,4,8,3] => [2,1,2,2,1]
[3,8,6,7,2,5,4,1] => [2,2,2,1,1]
[5,8,1,2,7,4,3,6] => [2,3,1,2]
[6,3,1,8,2,4,5,7] => [1,1,2,4]
[7,2,1,4,6,8,5,3] => [1,1,4,1,1]
[4,6,3,7,8,1,5,2] => [2,3,2,1]
[6,3,1,8,4,5,2,7] => [1,1,2,2,2]
[4,2,3,6,8,1,7,5] => [1,4,2,1]
[3,6,2,4,8,7,5,1] => [2,3,1,1,1]
[4,3,2,7,5,8,6,1] => [1,1,2,2,1,1]
[7,1,3,5,8,4,6,2] => [1,4,2,1]
[2,1,4,7,5,8,6,3] => [1,3,2,1,1]
[3,6,8,5,2,1,4,7] => [3,1,1,3]
[7,2,6,4,8,3,5,1] => [1,2,2,2,1]
[7,6,2,4,8,3,1,5] => [1,1,3,1,2]
[6,5,8,1,4,3,7,2] => [1,2,2,2,1]
[8,1,4,2,7,5,6,3] => [1,2,2,2,1]
[6,3,4,2,7,5,8,1] => [1,2,2,2,1]
[6,2,7,5,8,3,4,1] => [1,2,2,2,1]
[4,2,7,5,8,1,6,3] => [1,2,2,2,1]
[8,3,4,1,6,2,7,5] => [1,2,2,2,1]
[8,6,3,5,2,1,7,4] => [1,1,2,1,2,1]
[6,8,3,1,2,5,4,7] => [2,1,3,2]
[5,8,6,4,7,1,2,3] => [2,1,2,3]
[2,5,1,8,7,3,4,6] => [2,2,1,3]
[7,2,4,3,8,6,1,5] => [1,2,2,1,2]
[6,8,4,3,5,1,7,2] => [2,1,2,2,1]
[4,2,6,7,1,5,8,3] => [1,3,3,1]
[1,7,5,6,8,4,2,3] => [2,3,1,2]
[6,3,8,1,7,4,5,2] => [1,2,2,2,1]
[2,5,7,6,8,4,1,3] => [3,2,1,2]
[7,6,1,4,5,2,8,3] => [1,1,3,2,1]
[1,4,6,7,2,5,8,3] => [4,3,1]
[1,4,7,3,6,8,2,5] => [3,3,2]
[3,7,1,4,6,8,2,5] => [2,4,2]
[2,4,7,3,6,8,1,5] => [3,3,2]
[5,3,7,2,6,8,1,4] => [1,2,3,2]
[7,6,1,5,2,8,3,4] => [1,1,2,2,2]
[2,1,6,7,4,5,8,3] => [1,3,3,1]
[8,5,7,6,1,3,2,4] => [1,2,1,2,2]
[2,7,5,6,1,8,4,3] => [2,2,2,1,1]
[1,2,6,7,4,5,8,3] => [4,3,1]
[6,5,2,8,7,1,4,3] => [1,1,2,1,2,1]
[3,8,6,5,7,2,1,4] => [2,1,2,1,2]
[3,8,7,2,5,1,6,4] => [2,1,2,2,1]
[3,7,1,2,5,6,8,4] => [2,5,1]
[2,7,1,4,6,8,3,5] => [2,4,2]
[7,2,3,6,8,1,4,5] => [1,4,3]
[8,3,1,7,5,2,6,4] => [1,1,2,1,2,1]
[2,6,1,3,8,5,4,7] => [2,3,1,2]
[6,4,1,8,3,2,5,7] => [1,1,2,1,3]
[5,8,1,4,2,7,3,6] => [2,2,2,2]
[5,7,1,4,2,8,3,6] => [2,2,2,2]
[6,1,4,8,3,5,2,7] => [1,3,2,2]
[2,3,8,6,1,5,4,7] => [3,1,2,2]
[7,3,2,1,8,4,6,5] => [1,1,1,2,2,1]
[8,3,2,1,6,7,4,5] => [1,1,1,3,2]
[5,8,7,4,2,3,1,6] => [2,1,1,2,2]
[2,7,3,8,1,4,5,6] => [2,2,4]
[7,3,2,1,6,8,4,5] => [1,1,1,3,2]
[2,3,1,6,8,7,4,5] => [2,3,1,2]
[6,4,8,2,1,7,3,5] => [1,2,1,2,2]
[2,3,1,8,7,5,6,4] => [2,2,1,2,1]
[6,4,1,2,7,8,5,3] => [1,1,4,1,1]
[6,1,4,3,2,8,7,5] => [1,2,1,2,1,1]
[7,1,4,3,2,6,8,5] => [1,2,1,3,1]
[7,4,8,2,3,6,1,5] => [1,2,3,2]
[1,5,6,7,2,4,3,8] => [4,2,2]
[6,8,3,7,1,2,5,4] => [2,2,3,1]
[6,8,2,1,4,7,3,5] => [2,1,3,2]
[2,7,3,5,1,8,6,4] => [2,2,2,1,1]
[3,7,8,1,6,5,4,2] => [3,2,1,1,1]
[8,3,4,7,2,1,6,5] => [1,3,1,2,1]
[1,6,7,5,2,4,3,8] => [3,1,2,2]
[5,7,2,4,1,8,3,6] => [2,2,2,2]
[2,8,6,4,1,5,3,7] => [2,1,1,2,2]
[1,5,7,3,6,2,4,8] => [3,2,3]
[7,6,1,8,2,4,3,5] => [1,1,2,2,2]
[6,7,4,5,1,3,8,2] => [2,2,3,1]
[4,1,3,2,6,8,5,7] => [1,2,3,2]
[1,6,5,3,8,2,4,7] => [2,1,2,3]
[7,8,3,2,5,4,1,6] => [2,1,2,1,2]
[8,7,3,2,5,4,1,6] => [1,1,1,2,1,2]
[8,1,5,7,4,3,2,6] => [1,3,1,1,2]
[5,6,1,2,4,8,3,7] => [2,4,2]
[5,1,2,4,6,8,3,7] => [1,5,2]
[6,1,2,4,5,8,3,7] => [1,5,2]
[8,7,4,5,1,3,2,6] => [1,1,2,2,2]
[1,4,7,8,6,3,2,5] => [4,1,1,2]
[5,7,1,2,8,4,3,6] => [2,3,1,2]
[3,1,5,7,4,2,8,6] => [1,3,1,2,1]
[8,5,1,2,7,4,3,6] => [1,1,3,1,2]
[4,1,8,7,2,5,3,6] => [1,2,1,2,2]
[7,8,6,1,2,3,5,4] => [2,1,4,1]
[6,8,7,1,2,3,5,4] => [2,1,4,1]
[2,6,3,8,4,1,7,5] => [2,2,1,2,1]
[1,6,3,7,4,8,2,5] => [2,2,2,2]
[2,7,3,1,6,4,8,5] => [2,1,2,2,1]
[4,8,5,1,3,2,7,6] => [2,1,2,2,1]
[2,7,1,6,8,3,4,5] => [2,3,3]
[8,7,1,2,3,5,6,4] => [1,1,5,1]
[3,2,4,7,6,1,8,5] => [1,3,1,2,1]
[2,8,1,6,7,3,4,5] => [2,3,3]
[3,2,4,6,1,8,7,5] => [1,3,2,1,1]
[7,1,8,3,6,5,2,4] => [1,2,2,1,2]
[3,6,7,4,1,2,5,8] => [3,1,4]
[7,4,3,8,5,1,6,2] => [1,1,2,1,2,1]
[1,4,3,6,2,8,7,5] => [2,2,2,1,1]
[2,4,8,5,3,6,1,7] => [3,1,2,2]
[2,5,4,8,7,1,3,6] => [2,2,1,3]
[2,8,1,4,7,6,3,5] => [2,3,1,2]
[4,6,8,5,2,1,3,7] => [3,1,1,3]
[5,3,7,6,8,1,4,2] => [1,2,2,2,1]
[5,3,6,7,2,1,4,8] => [1,3,1,3]
[6,1,5,7,2,8,4,3] => [1,3,2,1,1]
[1,4,7,5,8,2,3,6] => [3,2,3]
[2,6,8,1,7,4,3,5] => [3,2,1,2]
[1,6,8,4,7,3,2,5] => [3,2,1,2]
[3,6,7,5,4,8,1,2] => [3,1,2,2]
[4,5,7,2,6,3,8,1] => [3,2,2,1]
[6,7,5,4,2,8,1,3] => [2,1,1,2,2]
[5,4,1,7,8,6,3,2] => [1,1,3,1,1,1]
[7,1,5,6,8,3,2,4] => [1,4,1,2]
[7,5,6,4,1,8,2,3] => [1,2,1,2,2]
[2,3,6,8,5,7,4,1] => [4,2,1,1]
[4,6,8,5,7,2,1,3] => [3,2,1,2]
[8,4,5,6,2,1,7,3] => [1,3,1,2,1]
[2,1,5,7,4,6,8,3] => [1,3,3,1]
[5,7,4,6,8,2,1,3] => [2,3,1,2]
[5,7,1,2,3,6,8,4] => [2,5,1]
[2,3,5,7,8,1,6,4] => [5,2,1]
[8,2,3,5,6,4,1,7] => [1,4,1,2]
[1,5,7,4,2,3,6,8] => [3,1,4]
[2,4,7,5,1,3,6,8] => [3,1,4]
[2,4,7,5,3,6,8,1] => [3,1,3,1]
[4,7,1,3,6,2,5,8] => [2,3,3]
[1,5,2,4,7,3,6,8] => [2,3,3]
[8,1,7,2,4,6,3,5] => [1,2,3,2]
[2,5,8,1,4,7,3,6] => [3,3,2]
[4,7,1,2,5,8,3,6] => [2,4,2]
[2,3,6,8,5,7,1,4] => [4,2,2]
[1,2,4,7,8,6,3,5] => [5,1,2]
[2,3,5,7,8,4,1,6] => [5,1,2]
[2,4,7,8,3,5,1,6] => [4,2,2]
[1,3,6,2,5,8,4,7] => [3,3,2]
[3,6,2,5,8,4,7,1] => [2,3,2,1]
[2,5,8,3,6,4,7,1] => [3,2,2,1]
[2,5,8,1,3,6,4,7] => [3,3,2]
[1,5,3,6,8,2,4,7] => [2,3,3]
[3,5,2,4,7,8,1,6] => [2,4,2]
[8,3,5,2,4,6,1,7] => [1,2,3,2]
[3,6,4,7,1,2,5,8] => [2,2,4]
[4,8,1,2,6,3,7,5] => [2,3,2,1]
[5,8,1,2,6,3,7,4] => [2,3,2,1]
[1,6,2,3,7,5,8,4] => [2,3,2,1]
[4,1,2,6,5,7,8,3] => [1,3,3,1]
[1,8,4,2,7,3,6,5] => [2,1,2,2,1]
[1,7,5,2,3,8,6,4] => [2,1,3,1,1]
[8,1,4,7,3,5,2,6] => [1,3,2,2]
[8,4,3,6,1,7,2,5] => [1,1,2,2,2]
[2,6,1,8,3,7,4,5] => [2,2,2,2]
[8,4,2,1,3,7,5,6] => [1,1,1,3,2]
[2,5,1,7,6,8,3,4] => [2,2,2,2]
[5,3,1,8,2,4,7,6] => [1,1,2,3,1]
[1,2,6,3,7,5,8,4] => [3,2,2,1]
[5,1,8,3,2,4,7,6] => [1,2,1,3,1]
[3,1,5,4,6,7,8,2] => [1,2,4,1]
[2,8,5,7,3,1,4,6] => [2,2,1,3]
[2,6,8,7,3,1,4,5] => [3,1,1,3]
[7,4,2,1,3,8,5,6] => [1,1,1,3,2]
[7,2,1,3,8,5,4,6] => [1,1,3,1,2]
[2,1,7,3,8,6,4,5] => [1,2,2,1,2]
[1,7,5,3,2,4,8,6] => [2,1,1,3,1]
[1,4,2,7,6,5,8,3] => [2,2,1,2,1]
[3,4,1,6,5,7,8,2] => [2,2,3,1]
[2,8,7,3,4,1,5,6] => [2,1,2,3]
[5,7,6,2,3,8,1,4] => [2,1,3,2]
[4,5,7,6,2,8,1,3] => [3,1,2,2]
[3,1,8,7,5,2,6,4] => [1,2,1,1,2,1]
[4,5,6,8,7,2,1,3] => [4,1,1,2]
[2,8,3,1,5,4,7,6] => [2,1,2,2,1]
[4,8,2,1,5,3,7,6] => [2,1,2,2,1]
[5,8,2,1,4,3,7,6] => [2,1,2,2,1]
[5,8,3,1,4,2,7,6] => [2,1,2,2,1]
[3,8,4,1,5,2,7,6] => [2,1,2,2,1]
[3,8,5,1,4,2,7,6] => [2,1,2,2,1]
[4,1,5,8,3,2,7,6] => [1,3,1,2,1]
[4,1,7,8,3,2,6,5] => [1,3,1,2,1]
[5,1,7,8,3,2,6,4] => [1,3,1,2,1]
[1,8,6,2,4,3,7,5] => [2,1,2,2,1]
[1,8,7,2,4,3,6,5] => [2,1,2,2,1]
[1,8,6,2,5,3,7,4] => [2,1,2,2,1]
[3,8,4,1,6,2,7,5] => [2,1,2,2,1]
[4,8,3,1,6,2,7,5] => [2,1,2,2,1]
[5,8,2,1,6,3,7,4] => [2,1,2,2,1]
[3,8,2,1,6,4,7,5] => [2,1,2,2,1]
[2,8,3,1,6,4,7,5] => [2,1,2,2,1]
[2,8,3,1,7,4,6,5] => [2,1,2,2,1]
[4,8,2,1,7,3,6,5] => [2,1,2,2,1]
[7,3,6,8,2,1,5,4] => [1,3,1,2,1]
[7,2,6,8,3,1,5,4] => [1,3,1,2,1]
[5,8,3,1,7,2,6,4] => [2,1,2,2,1]
[3,8,5,1,7,2,6,4] => [2,1,2,2,1]
[7,2,6,1,5,8,4,3] => [1,2,3,1,1]
[1,8,6,3,7,2,5,4] => [2,1,2,2,1]
[6,2,7,1,5,8,4,3] => [1,2,3,1,1]
[3,6,7,2,5,4,8,1] => [3,2,2,1]
[4,8,5,1,3,2,6,7] => [2,1,2,3]
[5,4,3,1,2,7,6,8] => [1,1,1,3,2]
[4,1,6,5,2,3,7,8] => [1,2,1,4]
[7,1,5,2,3,6,4,8] => [1,2,3,2]
[4,1,6,3,7,2,5,8] => [1,2,2,3]
[4,6,1,2,8,3,7,5] => [2,3,2,1]
[4,1,3,6,7,2,5,8] => [1,4,3]
[2,6,5,1,3,4,7,8] => [2,1,5]
[2,6,7,4,3,1,5,8] => [3,1,1,3]
[2,6,3,1,7,4,5,8] => [2,1,2,3]
[6,5,3,7,2,4,1,8] => [1,1,2,2,2]
[2,3,6,7,1,5,4,8] => [4,2,2]
[2,7,5,8,1,3,6,4] => [2,2,3,1]
[5,1,6,7,3,2,4,8] => [1,3,1,3]
[5,6,1,4,7,2,3,8] => [2,3,3]
[1,2,5,7,8,6,3,4] => [5,1,2]
[1,2,5,8,6,4,3,7] => [4,1,1,2]
[1,8,2,3,5,7,6,4] => [2,4,1,1]
[1,2,6,7,4,5,3,8] => [4,2,2]
[1,7,2,6,8,5,3,4] => [2,3,1,2]
[1,2,7,8,4,6,3,5] => [4,2,2]
[1,8,5,6,3,2,4,7] => [2,2,1,3]
[1,8,3,6,4,2,5,7] => [2,2,1,3]
[3,2,6,7,1,4,8,5] => [1,3,3,1]
[8,6,5,2,1,7,4,3] => [1,1,1,1,2,1,1]
[5,7,3,2,1,8,4,6] => [2,1,1,2,2]
[3,8,1,6,4,7,5,2] => [2,2,2,1,1]
[4,3,8,6,7,1,5,2] => [1,2,2,2,1]
[3,4,1,8,6,2,5,7] => [2,2,1,3]
[4,2,5,6,8,1,3,7] => [1,4,3]
[8,3,2,4,7,1,6,5] => [1,1,3,2,1]
[7,3,2,8,6,1,5,4] => [1,1,2,1,2,1]
[7,5,8,2,6,1,4,3] => [1,2,2,2,1]
[5,1,8,7,6,3,2,4] => [1,2,1,1,1,2]
[4,6,8,7,3,5,1,2] => [3,1,2,2]
[5,6,8,2,7,4,1,3] => [3,2,1,2]
[6,2,5,4,1,3,8,7] => [1,2,1,3,1]
[5,2,1,4,6,3,8,7] => [1,1,3,2,1]
[6,4,1,2,3,5,8,7] => [1,1,5,1]
[7,4,1,2,6,5,8,3] => [1,1,3,2,1]
[5,2,7,4,6,1,8,3] => [1,2,2,2,1]
[4,2,7,1,6,5,8,3] => [1,2,2,2,1]
[8,2,6,3,1,4,5,7] => [1,2,1,4]
[5,2,8,4,7,6,3,1] => [1,2,2,1,1,1]
[7,4,1,2,3,6,8,5] => [1,1,5,1]
[6,2,1,4,7,3,8,5] => [1,1,3,2,1]
[3,6,8,4,2,5,1,7] => [3,1,2,2]
[8,5,1,4,6,2,3,7] => [1,1,3,3]
[5,4,8,6,3,2,1,7] => [1,2,1,1,1,2]
[7,2,5,6,8,4,3,1] => [1,4,1,1,1]
[8,4,6,7,3,1,5,2] => [1,3,1,2,1]
[7,6,8,3,4,1,5,2] => [1,2,2,2,1]
[4,6,8,5,1,2,7,3] => [3,1,3,1]
[2,5,1,8,4,6,3,7] => [2,2,2,2]
[7,2,4,6,3,5,8,1] => [1,3,3,1]
[5,2,3,1,7,6,4,8] => [1,2,2,1,2]
[3,7,2,4,1,8,5,6] => [2,2,2,2]
[8,5,6,1,2,7,3,4] => [1,2,3,2]
[6,7,3,4,1,8,5,2] => [2,2,2,1,1]
[2,6,3,1,8,4,7,5] => [2,1,2,2,1]
[3,6,2,8,4,1,7,5] => [2,2,1,2,1]
[4,5,3,8,7,2,1,6] => [2,2,1,1,2]
[4,1,3,6,8,5,2,7] => [1,4,1,2]
[6,2,5,7,4,8,1,3] => [1,3,2,2]
[6,3,5,7,1,2,8,4] => [1,3,3,1]
[5,2,4,6,1,8,3,7] => [1,3,2,2]
[5,4,6,1,2,7,8,3] => [1,2,4,1]
[4,5,3,6,1,7,8,2] => [2,2,3,1]
[2,5,3,1,6,7,8,4] => [2,1,4,1]
[3,1,8,4,2,7,5,6] => [1,2,1,2,2]
[4,5,2,1,7,8,6,3] => [2,1,3,1,1]
[1,8,5,3,2,4,6,7] => [2,1,1,4]
[1,6,7,3,4,2,5,8] => [3,2,3]
[1,6,8,3,4,2,5,7] => [3,2,3]
[1,8,7,5,3,4,2,6] => [2,1,1,2,2]
[1,7,8,5,3,4,2,6] => [3,1,2,2]
[1,7,6,8,4,2,3,5] => [2,2,1,3]
[1,7,8,6,4,3,2,5] => [3,1,1,1,2]
[2,4,8,5,7,1,6,3] => [3,2,2,1]
[2,3,8,7,1,5,6,4] => [3,1,3,1]
[7,2,8,6,4,1,5,3] => [1,2,1,1,2,1]
[5,1,7,8,4,2,3,6] => [1,3,1,3]
[3,1,4,2,7,6,5,8] => [1,2,2,1,2]
[3,8,2,1,6,7,5,4] => [2,1,3,1,1]
[2,8,3,1,7,5,6,4] => [2,1,2,2,1]
[7,2,3,1,6,5,8,4] => [1,2,2,2,1]
[7,6,2,5,4,1,8,3] => [1,1,2,1,2,1]
[1,6,4,3,2,7,5,8] => [2,1,1,2,2]
[3,8,7,1,2,6,4,5] => [2,1,3,2]
[2,8,7,1,3,4,6,5] => [2,1,4,1]
[6,5,4,1,8,2,3,7] => [1,1,1,2,3]
[8,2,1,3,4,7,6,5] => [1,1,4,1,1]
[8,5,6,2,1,4,7,3] => [1,2,1,3,1]
[7,8,3,2,5,1,6,4] => [2,1,2,2,1]
[7,8,2,4,5,6,3,1] => [2,4,1,1]
[6,4,1,5,3,7,2,8] => [1,1,2,2,2]
[2,7,4,1,5,8,3,6] => [2,1,3,2]
[2,1,6,4,7,8,3,5] => [1,2,3,2]
[5,4,2,6,7,8,3,1] => [1,1,4,1,1]
[6,3,7,4,2,1,5,8] => [1,2,1,1,3]
[5,7,8,3,4,2,1,6] => [3,2,1,2]
[4,7,5,3,8,2,6,1] => [2,1,2,2,1]
[4,6,3,2,7,1,8,5] => [2,1,2,2,1]
[2,6,4,7,8,5,3,1] => [2,3,1,1,1]
[7,8,3,5,2,6,4,1] => [2,2,2,1,1]
[1,6,8,4,5,7,2,3] => [3,3,2]
[7,8,4,5,6,1,3,2] => [2,3,2,1]
[1,6,8,4,5,7,3,2] => [3,3,1,1]
[6,1,3,8,4,5,7,2] => [1,3,3,1]
[2,5,1,8,4,6,7,3] => [2,2,3,1]
[1,2,5,8,4,6,7,3] => [4,3,1]
[5,3,4,8,2,1,6,7] => [1,3,1,3]
[5,2,8,4,6,7,1,3] => [1,2,3,2]
[1,5,3,8,4,6,7,2] => [2,2,3,1]
[5,4,1,8,3,6,2,7] => [1,1,2,2,2]
[5,2,8,1,4,6,3,7] => [1,2,3,2]
[6,5,8,3,4,2,1,7] => [1,2,2,1,2]
[1,3,5,8,4,6,7,2] => [4,3,1]
[3,1,5,8,4,6,7,2] => [1,3,3,1]
[3,2,5,8,4,6,7,1] => [1,3,3,1]
[3,4,5,8,2,1,6,7] => [4,1,3]
[8,2,7,6,3,4,5,1] => [1,2,1,3,1]
[6,8,7,3,2,1,4,5] => [2,1,1,1,3]
[3,4,8,2,7,1,5,6] => [3,2,3]
[7,2,6,1,4,8,3,5] => [1,2,3,2]
[7,8,1,2,4,6,3,5] => [2,4,2]
[7,2,8,3,4,5,1,6] => [1,2,3,2]
[6,1,8,3,4,2,5,7] => [1,2,2,3]
[7,5,1,2,4,3,8,6] => [1,1,3,2,1]
[7,6,8,1,4,2,3,5] => [1,2,2,3]
[7,1,5,2,4,8,6,3] => [1,2,3,1,1]
[3,1,6,2,5,8,7,4] => [1,2,3,1,1]
[2,8,5,3,7,4,6,1] => [2,1,2,2,1]
[5,4,1,7,2,3,6,8] => [1,1,2,4]
[2,8,6,7,3,4,5,1] => [2,2,3,1]
[2,7,6,8,3,4,5,1] => [2,2,3,1]
[2,6,7,8,3,4,5,1] => [4,3,1]
[2,4,3,7,8,5,6,1] => [2,3,2,1]
[5,1,8,7,2,4,6,3] => [1,2,1,3,1]
[3,8,1,2,7,4,6,5] => [2,3,2,1]
[4,8,7,1,2,3,5,6] => [2,1,5]
[2,7,8,6,3,4,5,1] => [3,1,3,1]
[2,1,7,6,3,4,5,8] => [1,2,1,4]
[6,3,5,2,1,8,4,7] => [1,2,1,2,2]
[6,1,5,3,8,2,4,7] => [1,2,2,3]
[2,3,6,8,5,1,7,4] => [4,1,2,1]
[3,2,4,8,6,1,7,5] => [1,3,1,2,1]
[2,1,3,8,4,5,7,6] => [1,3,3,1]
[3,1,2,8,6,7,4,5] => [1,3,2,2]
[1,4,5,2,3,8,7,6] => [3,3,1,1]
[4,2,1,5,3,6,8,7] => [1,1,2,3,1]
[2,1,6,3,8,7,4,5] => [1,2,2,1,2]
[3,1,2,8,5,4,7,6] => [1,3,1,2,1]
[2,1,3,7,8,4,6,5] => [1,4,2,1]
[2,1,3,8,4,7,6,5] => [1,3,2,1,1]
[3,1,2,8,4,5,7,6] => [1,3,3,1]
[1,2,8,7,5,4,6,3] => [3,1,1,2,1]
[4,6,7,2,3,8,1,5] => [3,3,2]
[3,6,1,4,8,2,7,5] => [2,3,2,1]
[3,2,6,5,7,8,1,4] => [1,2,3,2]
[7,3,2,4,5,8,1,6] => [1,1,4,2]
[3,2,7,5,6,8,1,4] => [1,2,3,2]
[3,1,5,6,8,7,2,4] => [1,4,1,2]
[2,1,5,8,6,7,3,4] => [1,3,2,2]
[3,1,7,5,8,6,2,4] => [1,2,2,1,2]
[3,7,1,4,8,6,2,5] => [2,3,1,2]
[2,7,1,8,4,3,6,5] => [2,2,1,2,1]
[2,6,1,8,7,3,4,5] => [2,2,1,3]
[2,7,1,8,6,3,4,5] => [2,2,1,3]
[2,1,8,7,4,6,5,3] => [1,2,1,2,1,1]
[7,2,1,8,3,5,4,6] => [1,1,2,2,2]
[2,7,1,8,3,4,6,5] => [2,2,3,1]
[2,1,7,8,3,5,6,4] => [1,3,3,1]
[2,1,8,7,4,5,6,3] => [1,2,1,3,1]
[3,7,5,2,6,4,8,1] => [2,1,2,2,1]
[5,2,7,4,6,3,8,1] => [1,2,2,2,1]
[6,1,5,8,4,7,3,2] => [1,3,2,1,1]
[1,4,6,8,5,7,2,3] => [4,2,2]
[8,3,5,7,6,4,1,2] => [1,3,1,1,2]
[2,8,5,1,6,4,3,7] => [2,1,2,1,2]
[2,4,7,1,8,3,6,5] => [3,2,2,1]
[2,5,8,3,7,1,4,6] => [3,2,3]
[8,3,5,4,7,6,1,2] => [1,2,2,1,2]
[4,2,1,7,5,8,6,3] => [1,1,2,2,1,1]
[8,5,2,3,4,1,7,6] => [1,1,3,2,1]
[1,6,8,4,3,5,2,7] => [3,1,2,2]
[6,5,7,1,4,8,2,3] => [1,2,3,2]
[3,7,5,4,2,6,8,1] => [2,1,1,3,1]
[8,4,1,6,5,3,7,2] => [1,1,2,1,2,1]
[4,1,2,7,6,8,5,3] => [1,3,2,1,1]
[4,8,2,5,6,3,1,7] => [2,3,1,2]
[8,4,3,5,6,1,7,2] => [1,1,3,2,1]
[6,1,5,4,2,3,8,7] => [1,2,1,3,1]
[6,4,5,1,2,8,3,7] => [1,2,3,2]
[8,4,1,5,7,6,3,2] => [1,1,3,1,1,1]
[8,1,6,3,5,2,4,7] => [1,2,2,3]
[4,6,2,5,3,8,1,7] => [2,2,2,2]
[4,6,5,2,1,8,3,7] => [2,1,1,2,2]
[5,8,4,3,6,7,2,1] => [2,1,3,1,1]
[6,8,2,1,5,3,4,7] => [2,1,2,3]
[2,5,3,8,6,7,4,1] => [2,2,2,1,1]
[3,2,6,5,1,8,4,7] => [1,2,1,2,2]
[7,4,5,8,1,6,2,3] => [1,3,2,2]
[4,5,8,1,6,7,3,2] => [3,3,1,1]
[5,1,8,4,6,7,3,2] => [1,2,3,1,1]
[5,4,1,7,2,3,8,6] => [1,1,2,3,1]
[1,7,6,2,3,4,8,5] => [2,1,4,1]
[4,3,6,5,8,1,2,7] => [1,2,2,3]
[6,5,3,8,1,7,2,4] => [1,1,2,2,2]
[8,3,7,1,6,2,4,5] => [1,2,2,3]
[4,7,2,8,6,1,3,5] => [2,2,1,3]
[4,2,8,7,6,1,3,5] => [1,2,1,1,3]
[8,1,4,6,5,7,2,3] => [1,3,2,2]
[8,1,7,5,6,4,2,3] => [1,2,2,1,2]
[8,6,1,5,3,7,2,4] => [1,1,2,2,2]
[7,8,1,5,2,6,4,3] => [2,2,2,1,1]
[8,3,6,7,4,2,1,5] => [1,3,1,1,2]
[8,7,2,5,6,3,4,1] => [1,1,3,2,1]
[1,7,2,8,3,4,6,5] => [2,2,3,1]
[7,2,3,6,8,1,5,4] => [1,4,2,1]
[2,6,3,7,8,1,4,5] => [2,3,3]
[6,3,8,7,2,1,5,4] => [1,2,1,1,2,1]
[7,2,5,6,3,4,8,1] => [1,3,3,1]
[7,2,8,6,3,1,5,4] => [1,2,1,1,2,1]
[7,2,4,5,8,6,3,1] => [1,4,1,1,1]
[6,3,8,4,7,2,5,1] => [1,2,2,2,1]
[7,2,3,6,8,5,4,1] => [1,4,1,1,1]
[7,2,8,5,4,1,3,6] => [1,2,1,1,3]
[7,4,5,2,8,1,6,3] => [1,2,2,2,1]
[7,5,4,2,8,1,6,3] => [1,1,1,2,2,1]
[7,6,3,2,8,4,5,1] => [1,1,1,2,2,1]
[7,2,3,6,8,4,5,1] => [1,4,2,1]
[7,2,5,4,8,3,6,1] => [1,2,2,2,1]
[7,2,8,3,6,1,4,5] => [1,2,2,3]
[7,4,5,2,8,3,6,1] => [1,2,2,2,1]
[3,1,6,7,4,5,2,8] => [1,3,2,2]
[3,1,5,4,7,6,2,8] => [1,2,2,1,2]
[7,3,6,8,2,4,5,1] => [1,3,3,1]
[5,1,3,2,4,6,8,7] => [1,2,4,1]
[8,4,2,5,1,7,3,6] => [1,1,2,2,2]
[6,4,2,5,7,3,8,1] => [1,1,3,2,1]
[5,7,8,4,2,3,6,1] => [3,1,3,1]
[6,4,5,2,8,3,7,1] => [1,2,2,2,1]
[6,5,2,4,3,8,7,1] => [1,1,2,2,1,1]
[6,5,3,4,1,8,2,7] => [1,1,2,2,2]
[6,4,5,3,8,1,2,7] => [1,2,2,3]
[5,6,4,8,3,1,2,7] => [2,2,1,3]
[6,3,4,7,5,2,8,1] => [1,3,1,2,1]
[7,2,6,3,4,8,5,1] => [1,2,3,1,1]
[7,3,2,6,4,8,5,1] => [1,1,2,2,1,1]
[4,7,2,6,5,3,8,1] => [2,2,1,2,1]
[7,2,4,6,3,8,5,1] => [1,3,2,1,1]
[8,1,3,7,6,2,5,4] => [1,3,1,2,1]
[2,8,3,7,6,1,5,4] => [2,2,1,2,1]
[2,8,7,3,1,6,5,4] => [2,1,1,2,1,1]
[5,4,2,6,8,7,3,1] => [1,1,3,1,1,1]
[3,7,2,5,8,6,4,1] => [2,3,1,1,1]
[7,2,3,5,8,6,4,1] => [1,4,1,1,1]
[4,6,5,3,8,1,7,2] => [2,1,2,2,1]
[6,3,4,8,1,7,5,2] => [1,3,2,1,1]
[7,2,3,8,4,6,5,1] => [1,3,2,1,1]
[2,4,8,7,6,1,5,3] => [3,1,1,2,1]
[8,3,1,4,7,6,5,2] => [1,1,3,1,1,1]
[3,2,8,7,4,6,5,1] => [1,2,1,2,1,1]
[5,4,2,8,3,7,6,1] => [1,1,2,2,1,1]
[3,8,1,7,4,6,5,2] => [2,2,2,1,1]
[8,6,1,2,4,5,3,7] => [1,1,4,2]
[8,2,5,6,1,4,3,7] => [1,3,2,2]
[8,2,6,5,1,4,3,7] => [1,2,1,2,2]
[8,6,2,5,1,4,3,7] => [1,1,2,2,2]
[4,8,5,2,7,6,3,1] => [2,1,2,1,1,1]
[5,8,6,2,7,1,3,4] => [2,1,2,3]
[4,7,8,6,5,2,1,3] => [3,1,1,1,2]
[7,2,8,5,6,4,1,3] => [1,2,2,1,2]
[3,8,2,7,4,1,6,5] => [2,2,1,2,1]
[2,8,6,5,7,1,3,4] => [2,1,2,3]
[3,7,8,6,2,5,4,1] => [3,1,2,1,1]
[1,4,8,6,2,5,7,3] => [3,1,3,1]
[3,8,4,7,2,1,6,5] => [2,2,1,2,1]
[6,8,7,2,4,1,3,5] => [2,1,2,3]
[3,4,8,6,2,5,1,7] => [3,1,2,2]
[7,3,8,6,2,5,4,1] => [1,2,1,2,1,1]
[5,3,8,1,6,4,7,2] => [1,2,2,2,1]
[3,5,8,1,6,4,7,2] => [3,2,2,1]
[4,8,5,1,7,6,3,2] => [2,1,2,1,1,1]
[5,8,1,7,6,2,3,4] => [2,2,1,3]
[3,1,8,5,6,4,7,2] => [1,2,2,2,1]
[2,3,8,6,4,5,1,7] => [3,1,2,2]
[1,4,8,6,5,2,3,7] => [3,1,1,3]
[7,6,2,8,5,4,3,1] => [1,1,2,1,1,1,1]
[3,4,6,2,5,7,1,8] => [3,3,2]
[1,7,5,2,6,8,3,4] => [2,1,3,2]
[3,5,7,1,6,2,4,8] => [3,2,3]
[4,6,8,7,1,2,3,5] => [3,1,4]
[7,8,6,1,2,4,3,5] => [2,1,3,2]
[4,5,6,1,3,8,7,2] => [3,3,1,1]
[2,3,7,8,6,5,1,4] => [4,1,1,2]
[1,7,4,8,2,6,3,5] => [2,2,2,2]
[5,1,7,2,4,6,3,8] => [1,2,3,2]
[7,1,5,6,2,8,3,4] => [1,3,2,2]
[7,3,2,1,4,8,5,6] => [1,1,1,3,2]
[6,8,2,1,3,4,7,5] => [2,1,4,1]
[5,2,1,7,6,4,3,8] => [1,1,2,1,1,2]
[7,4,8,3,6,5,1,2] => [1,2,2,1,2]
[6,4,8,5,1,7,2,3] => [1,2,1,2,2]
[5,2,8,1,3,6,7,4] => [1,2,4,1]
[6,3,2,7,4,5,8,1] => [1,1,2,3,1]
[7,4,3,8,5,6,1,2] => [1,1,2,2,2]
[6,2,1,8,7,4,5,3] => [1,1,2,1,2,1]
[6,2,1,8,7,3,5,4] => [1,1,2,1,2,1]
[5,2,1,7,6,3,4,8] => [1,1,2,1,3]
[4,2,6,8,5,7,1,3] => [1,3,2,2]
[8,6,4,3,2,7,5,1] => [1,1,1,1,2,1,1]
[5,1,8,6,2,4,7,3] => [1,2,1,3,1]
[1,3,4,7,8,2,6,5] => [5,2,1]
[1,5,4,3,8,7,2,6] => [2,1,2,1,2]
[1,2,5,8,4,3,6,7] => [4,1,3]
[1,5,8,2,6,4,3,7] => [3,2,1,2]
[3,5,6,2,4,7,8,1] => [3,4,1]
[3,5,6,7,2,4,8,1] => [4,3,1]
[3,5,7,6,8,2,4,1] => [3,2,2,1]
[3,5,7,2,6,8,4,1] => [3,3,1,1]
[3,5,2,7,6,8,4,1] => [2,2,2,1,1]
[3,5,7,4,2,6,8,1] => [3,1,3,1]
[3,5,4,7,2,6,8,1] => [2,2,3,1]
[3,4,5,7,2,6,8,1] => [4,3,1]
[3,4,5,7,2,8,6,1] => [4,2,1,1]
[3,5,4,7,8,2,6,1] => [2,3,2,1]
[3,5,4,7,2,8,6,1] => [2,2,2,1,1]
[3,2,5,7,4,8,6,1] => [1,3,2,1,1]
[3,5,7,4,2,8,6,1] => [3,1,2,1,1]
[3,5,7,8,4,2,6,1] => [4,1,2,1]
[2,3,5,7,8,4,6,1] => [5,2,1]
[3,5,2,7,8,6,4,1] => [2,3,1,1,1]
[3,5,7,8,2,6,4,1] => [4,2,1,1]
[3,5,7,8,6,2,4,1] => [4,1,2,1]
[4,2,5,6,7,3,8,1] => [1,4,2,1]
[8,6,1,4,3,5,2,7] => [1,1,2,2,2]
[6,1,8,4,3,5,2,7] => [1,2,1,2,2]
[5,1,6,4,8,2,3,7] => [1,2,2,3]
[8,1,4,2,5,3,6,7] => [1,2,2,3]
[2,8,4,1,5,3,6,7] => [2,1,2,3]
[8,4,1,3,5,2,6,7] => [1,1,3,3]
[4,1,8,3,5,2,6,7] => [1,2,2,3]
[8,3,1,2,5,4,6,7] => [1,1,3,3]
[3,1,8,2,5,4,6,7] => [1,2,2,3]
[4,2,5,1,8,7,6,3] => [1,2,2,1,1,1]
[5,2,4,8,1,7,6,3] => [1,3,2,1,1]
[7,3,2,4,6,8,1,5] => [1,1,4,2]
[1,4,8,6,7,2,5,3] => [3,2,2,1]
[1,4,5,7,3,8,2,6] => [4,2,2]
[4,6,8,1,2,5,3,7] => [3,3,2]
[3,5,6,8,2,1,4,7] => [4,1,3]
[8,2,5,4,1,3,7,6] => [1,2,1,3,1]
[2,4,5,8,6,3,1,7] => [4,1,1,2]
[5,4,8,2,3,1,7,6] => [1,2,2,2,1]
[4,7,5,8,2,3,1,6] => [2,2,2,2]
[4,6,7,5,1,8,3,2] => [3,1,2,1,1]
[1,7,3,6,5,8,2,4] => [2,2,2,2]
[8,3,4,2,6,7,1,5] => [1,2,3,2]
[7,5,3,8,6,2,1,4] => [1,1,2,1,1,2]
[7,3,1,8,2,6,5,4] => [1,1,2,2,1,1]
[4,6,7,5,2,8,3,1] => [3,1,2,1,1]
[5,8,7,2,4,3,1,6] => [2,1,2,1,2]
[5,1,2,8,6,7,3,4] => [1,3,2,2]
[2,5,7,8,6,1,4,3] => [4,1,2,1]
[7,2,6,8,4,5,1,3] => [1,3,2,2]
[5,1,7,6,8,2,3,4] => [1,2,2,3]
[5,4,7,1,6,8,2,3] => [1,2,3,2]
[4,3,1,6,5,2,8,7] => [1,1,2,1,2,1]
[4,6,7,2,1,5,3,8] => [3,1,2,2]
[8,7,1,5,4,3,2,6] => [1,1,2,1,1,2]
[1,7,6,2,4,3,8,5] => [2,1,2,2,1]
[7,1,6,2,4,5,3,8] => [1,2,3,2]
[3,6,7,2,1,5,4,8] => [3,1,2,2]
[5,7,1,6,2,3,4,8] => [2,2,4]
[4,3,6,7,1,5,2,8] => [1,3,2,2]
[2,3,6,7,4,5,1,8] => [4,2,2]
[1,7,4,8,5,3,6,2] => [2,2,1,2,1]
[8,7,4,1,5,3,6,2] => [1,1,1,2,2,1]
[8,2,5,6,3,1,4,7] => [1,3,1,3]
[8,2,1,4,3,5,6,7] => [1,1,2,4]
[6,2,5,8,3,4,1,7] => [1,3,2,2]
[5,6,8,7,1,3,2,4] => [3,1,2,2]
[2,3,8,6,5,1,4,7] => [3,1,1,3]
[6,4,1,3,5,2,8,7] => [1,1,3,2,1]
[7,6,1,4,5,8,2,3] => [1,1,4,2]
[1,5,3,4,8,2,6,7] => [2,3,3]
[8,1,3,4,2,5,6,7] => [1,3,4]
[2,1,3,6,5,8,4,7] => [1,3,2,2]
[2,8,6,5,7,4,3,1] => [2,1,2,1,1,1]
[2,8,6,5,7,4,1,3] => [2,1,2,1,2]
[6,5,2,7,4,3,1,8] => [1,1,2,1,1,2]
[6,5,2,8,4,3,7,1] => [1,1,2,1,2,1]
[7,5,8,3,4,2,1,6] => [1,2,2,1,2]
[7,6,8,5,2,4,1,3] => [1,2,1,2,2]
[5,3,7,2,4,1,8,6] => [1,2,2,2,1]
[5,1,2,8,6,3,7,4] => [1,3,1,2,1]
[6,1,5,7,2,4,3,8] => [1,3,2,2]
[4,1,8,2,6,5,7,3] => [1,2,2,2,1]
[6,1,4,7,8,5,3,2] => [1,4,1,1,1]
[6,1,5,7,8,4,2,3] => [1,4,1,2]
[5,6,8,3,7,4,2,1] => [3,2,1,1,1]
[4,6,1,5,7,2,8,3] => [2,3,2,1]
[2,5,8,4,6,3,7,1] => [3,2,2,1]
[4,8,3,6,7,5,2,1] => [2,3,1,1,1]
[4,3,7,1,2,6,8,5] => [1,2,4,1]
[8,1,6,5,2,7,4,3] => [1,2,1,2,1,1]
[6,8,1,5,2,7,4,3] => [2,2,2,1,1]
[4,5,6,2,8,3,7,1] => [3,2,2,1]
[4,5,8,2,3,7,6,1] => [3,3,1,1]
[5,6,2,1,3,8,4,7] => [2,1,3,2]
[7,1,4,8,2,5,3,6] => [1,3,2,2]
[6,3,4,7,2,5,8,1] => [1,3,3,1]
[8,5,3,6,7,2,4,1] => [1,1,3,2,1]
[3,5,8,6,7,2,4,1] => [3,2,2,1]
[2,5,6,8,3,7,4,1] => [4,2,1,1]
[8,6,2,3,1,4,7,5] => [1,1,2,3,1]
[6,7,8,2,3,1,5,4] => [3,2,2,1]
[6,3,4,7,5,1,8,2] => [1,3,1,2,1]
[5,2,8,6,7,1,4,3] => [1,2,2,2,1]
[5,6,2,7,4,8,3,1] => [2,2,2,1,1]
[1,7,3,2,4,8,6,5] => [2,1,3,1,1]
[4,3,1,8,2,6,7,5] => [1,1,2,3,1]
[4,8,1,3,2,5,7,6] => [2,2,3,1]
[1,7,5,3,8,6,2,4] => [2,1,2,1,2]
[2,5,3,8,1,4,7,6] => [2,2,3,1]
[4,2,5,8,1,3,7,6] => [1,3,3,1]
[8,1,2,4,3,5,7,6] => [1,3,3,1]
[2,4,3,8,1,5,7,6] => [2,2,3,1]
[3,1,7,4,8,6,5,2] => [1,2,2,1,1,1]
[6,4,5,3,2,8,7,1] => [1,2,1,2,1,1]
[2,7,3,8,5,1,6,4] => [2,2,1,2,1]
[8,7,3,2,5,6,4,1] => [1,1,1,3,1,1]
[3,1,8,2,6,5,4,7] => [1,2,2,1,2]
[7,6,2,8,1,4,5,3] => [1,1,2,3,1]
[2,3,8,4,1,5,7,6] => [3,1,3,1]
[8,4,2,3,1,5,7,6] => [1,1,2,3,1]
[8,2,3,4,1,5,7,6] => [1,3,3,1]
[7,1,6,2,4,8,3,5] => [1,2,3,2]
[2,7,8,1,4,3,6,5] => [3,2,2,1]
[6,5,8,1,3,2,4,7] => [1,2,2,3]
[2,1,8,5,3,4,6,7] => [1,2,1,4]
[8,4,1,3,2,5,6,7] => [1,1,2,4]
[8,6,1,2,3,5,4,7] => [1,1,4,2]
[7,8,1,5,2,4,6,3] => [2,2,3,1]
[2,8,6,3,1,5,4,7] => [2,1,1,2,2]
[5,7,2,8,4,1,6,3] => [2,2,1,2,1]
[2,5,6,3,8,1,4,7] => [3,2,3]
[7,4,5,6,8,1,3,2] => [1,4,2,1]
[7,6,8,1,4,5,3,2] => [1,2,3,1,1]
[7,5,1,8,4,6,3,2] => [1,1,2,2,1,1]
[7,2,5,3,6,4,8,1] => [1,2,2,2,1]
[7,3,1,2,6,8,4,5] => [1,1,4,2]
[7,4,5,1,8,6,3,2] => [1,2,2,1,1,1]
[2,4,8,6,1,5,3,7] => [3,1,2,2]
[3,5,4,1,8,6,7,2] => [2,1,2,2,1]
[4,3,5,8,1,6,7,2] => [1,3,3,1]
[8,5,1,6,7,4,3,2] => [1,1,3,1,1,1]
[1,7,8,5,6,4,3,2] => [3,2,1,1,1]
[2,7,1,3,5,8,4,6] => [2,4,2]
[2,1,8,6,4,5,3,7] => [1,2,1,2,2]
[2,8,1,7,4,5,3,6] => [2,2,2,2]
[2,7,8,6,5,1,4,3] => [3,1,1,2,1]
[4,2,5,8,6,1,7,3] => [1,3,1,2,1]
[7,5,4,6,8,1,3,2] => [1,1,3,2,1]
[2,4,5,8,6,1,7,3] => [4,1,2,1]
[7,3,6,2,5,4,8,1] => [1,2,2,2,1]
[1,2,6,4,8,5,3,7] => [3,2,1,2]
[7,1,8,5,6,4,3,2] => [1,2,2,1,1,1]
[6,8,1,5,7,4,3,2] => [2,3,1,1,1]
[8,6,1,5,7,4,3,2] => [1,1,3,1,1,1]
[5,7,8,1,6,4,3,2] => [3,2,1,1,1]
[1,6,2,3,5,8,4,7] => [2,4,2]
[7,1,2,4,8,5,3,6] => [1,4,1,2]
[1,8,5,6,4,3,7,2] => [2,2,1,2,1]
[2,6,8,4,5,1,7,3] => [3,2,2,1]
[4,6,5,7,8,1,3,2] => [2,3,2,1]
[2,5,8,6,4,7,1,3] => [3,1,2,2]
[3,6,5,1,4,2,8,7] => [2,1,2,2,1]
[5,8,1,7,2,3,6,4] => [2,2,3,1]
[5,3,6,4,2,1,8,7] => [1,2,1,1,2,1]
[3,8,4,5,7,1,6,2] => [2,3,2,1]
[3,7,4,5,8,2,6,1] => [2,3,2,1]
[6,5,7,4,1,8,3,2] => [1,2,1,2,1,1]
[6,1,7,4,5,2,8,3] => [1,2,2,2,1]
[5,3,2,1,7,8,4,6] => [1,1,1,3,2]
[4,1,5,7,8,3,6,2] => [1,4,2,1]
[8,3,6,7,1,4,5,2] => [1,3,3,1]
[7,8,3,5,2,1,4,6] => [2,2,1,3]
[3,7,6,1,4,5,8,2] => [2,1,4,1]
[8,6,5,7,1,3,4,2] => [1,1,2,3,1]
[5,3,8,6,4,2,7,1] => [1,2,1,1,2,1]
[8,4,1,3,6,7,2,5] => [1,1,4,2]
[6,4,3,8,5,2,7,1] => [1,1,2,1,2,1]
[1,6,5,3,8,4,7,2] => [2,1,2,2,1]
[7,6,2,3,5,1,4,8] => [1,1,3,3]
[6,2,5,3,4,8,1,7] => [1,2,3,2]
[6,2,5,3,4,8,7,1] => [1,2,3,1,1]
[2,6,5,3,4,8,1,7] => [2,1,3,2]
[5,3,4,8,1,7,2,6] => [1,3,2,2]
[5,1,3,4,8,7,2,6] => [1,4,1,2]
[1,5,3,4,8,7,2,6] => [2,3,1,2]
[5,1,3,8,4,7,6,2] => [1,3,2,1,1]
[5,3,8,1,4,7,6,2] => [1,2,3,1,1]
[4,3,5,8,1,7,6,2] => [1,3,2,1,1]
[3,6,5,4,8,1,2,7] => [2,1,2,3]
[3,6,5,4,8,2,7,1] => [2,1,2,2,1]
[3,5,2,4,8,7,6,1] => [2,3,1,1,1]
[2,4,6,1,5,7,8,3] => [3,4,1]
[2,6,3,1,5,7,8,4] => [2,1,4,1]
[2,5,3,6,8,4,1,7] => [2,3,1,2]
[2,5,3,6,4,1,8,7] => [2,2,1,2,1]
[4,6,2,5,1,7,8,3] => [2,2,3,1]
[6,2,5,3,1,7,8,4] => [1,2,1,3,1]
[2,6,3,1,7,5,8,4] => [2,1,2,2,1]
[2,3,6,5,8,4,1,7] => [3,2,1,2]
[2,3,5,1,7,6,4,8] => [3,2,1,2]
[2,3,1,7,4,8,6,5] => [2,2,2,1,1]
[5,2,3,1,8,6,4,7] => [1,2,2,1,2]
[2,3,6,4,1,5,7,8] => [3,1,4]
[4,7,5,1,3,2,8,6] => [2,1,2,2,1]
[2,8,6,3,7,4,1,5] => [2,1,2,1,2]
[2,3,8,7,6,4,1,5] => [3,1,1,1,2]
[2,3,7,6,4,1,5,8] => [3,1,1,3]
[2,6,3,7,4,1,5,8] => [2,2,1,3]
[2,6,3,8,7,4,1,5] => [2,2,1,1,2]
[2,7,6,3,8,4,1,5] => [2,1,2,1,2]
[2,7,8,3,1,6,5,4] => [3,1,2,1,1]
[7,4,8,2,5,1,6,3] => [1,2,2,2,1]
[7,2,3,1,6,5,4,8] => [1,2,2,1,2]
[7,5,2,3,1,6,4,8] => [1,1,2,2,2]
[6,1,3,5,2,7,8,4] => [1,3,3,1]
[1,8,3,5,4,6,2,7] => [2,2,2,2]
[2,3,1,6,4,8,7,5] => [2,2,2,1,1]
[1,8,3,6,4,2,7,5] => [2,2,1,2,1]
[2,1,7,4,8,5,3,6] => [1,2,2,1,2]
[2,3,1,7,5,4,6,8] => [2,2,1,3]
[2,3,7,4,1,5,6,8] => [3,1,4]
[2,7,3,8,4,1,5,6] => [2,2,1,3]
[8,2,3,1,4,7,6,5] => [1,2,3,1,1]
[8,5,2,3,1,4,7,6] => [1,1,2,3,1]
[5,3,1,4,2,6,8,7] => [1,1,2,3,1]
[8,2,1,6,3,5,4,7] => [1,1,2,2,2]
[8,2,1,7,3,6,4,5] => [1,1,2,2,2]
[8,1,6,4,3,2,5,7] => [1,2,1,1,3]
[8,1,7,3,2,5,4,6] => [1,2,1,2,2]
[8,1,6,2,5,4,3,7] => [1,2,2,1,2]
[7,8,5,2,6,4,3,1] => [2,1,2,1,1,1]
[4,2,7,5,1,3,6,8] => [1,2,1,4]
[4,2,8,1,3,6,7,5] => [1,2,4,1]
[7,1,3,6,4,2,5,8] => [1,3,1,3]
[8,1,2,5,7,4,6,3] => [1,4,2,1]
[1,7,4,6,3,5,8,2] => [2,2,3,1]
[7,1,3,6,2,5,8,4] => [1,3,3,1]
[5,2,7,1,4,8,3,6] => [1,2,3,2]
[5,2,7,3,6,1,4,8] => [1,2,2,3]
[7,4,6,3,1,2,5,8] => [1,2,1,4]
[6,4,8,3,1,2,5,7] => [1,2,1,4]
[6,4,1,3,7,2,5,8] => [1,1,3,3]
[6,4,1,3,8,2,5,7] => [1,1,3,3]
[7,4,6,1,2,5,8,3] => [1,2,4,1]
[6,1,3,8,2,5,7,4] => [1,3,3,1]
[7,2,5,3,6,1,4,8] => [1,2,2,3]
[8,2,5,3,6,1,4,7] => [1,2,2,3]
[6,4,7,1,2,5,8,3] => [1,2,4,1]
[6,4,8,1,2,5,7,3] => [1,2,4,1]
[5,7,3,1,6,2,4,8] => [2,1,2,3]
[5,8,3,4,1,2,7,6] => [2,2,3,1]
[4,7,8,3,6,5,1,2] => [3,2,1,2]
[5,2,4,8,3,7,1,6] => [1,3,2,2]
[3,5,8,4,7,1,2,6] => [3,2,3]
[4,6,1,5,7,8,2,3] => [2,4,2]
[4,6,7,8,3,2,5,1] => [4,1,2,1]
[4,2,1,7,6,5,3,8] => [1,1,2,1,1,2]
[3,7,5,1,4,6,2,8] => [2,1,3,2]
[8,7,5,6,2,4,3,1] => [1,1,2,2,1,1]
[7,8,5,2,3,1,6,4] => [2,1,2,2,1]
[6,8,7,4,1,5,2,3] => [2,1,1,2,2]
[5,2,7,3,1,4,8,6] => [1,2,1,3,1]
[8,7,4,1,3,6,2,5] => [1,1,1,3,2]
[8,2,5,3,7,6,1,4] => [1,2,2,1,2]
[8,6,4,7,5,1,3,2] => [1,1,2,1,2,1]
[6,1,2,4,7,8,3,5] => [1,5,2]
[2,4,6,5,7,1,8,3] => [3,2,2,1]
[4,6,7,5,2,3,8,1] => [3,1,3,1]
[2,6,7,4,5,3,8,1] => [3,2,2,1]
[2,6,4,7,5,8,3,1] => [2,2,2,1,1]
[4,6,2,7,5,3,8,1] => [2,2,1,2,1]
[6,7,4,2,5,3,8,1] => [2,1,2,2,1]
[4,2,6,7,8,5,3,1] => [1,4,1,1,1]
[6,2,7,4,5,8,3,1] => [1,2,3,1,1]
[6,2,4,7,8,5,3,1] => [1,4,1,1,1]
[6,7,4,5,2,8,3,1] => [2,2,2,1,1]
[1,5,3,6,4,8,2,7] => [2,2,2,2]
[3,5,2,1,7,8,6,4] => [2,1,3,1,1]
[3,4,1,8,7,5,6,2] => [2,2,1,2,1]
[4,2,7,8,6,5,1,3] => [1,3,1,1,2]
[1,2,7,8,6,4,5,3] => [4,1,2,1]
[3,1,8,6,5,2,4,7] => [1,2,1,1,3]
[4,8,1,2,6,5,3,7] => [2,3,1,2]
[6,8,5,1,2,4,3,7] => [2,1,3,2]
[4,7,1,6,2,8,3,5] => [2,2,2,2]
[8,1,5,2,3,6,7,4] => [1,2,4,1]
[8,6,7,1,3,2,4,5] => [1,2,2,3]
[7,1,6,3,2,4,8,5] => [1,2,1,3,1]
[7,5,1,2,3,6,8,4] => [1,1,5,1]
[8,2,1,5,3,4,7,6] => [1,1,2,3,1]
[6,2,8,7,1,3,4,5] => [1,2,1,4]
[6,4,8,1,2,3,7,5] => [1,2,4,1]
[8,6,7,1,2,3,5,4] => [1,2,4,1]
[6,7,1,2,3,8,5,4] => [2,4,1,1]
[7,8,5,1,2,3,6,4] => [2,1,4,1]
[8,1,7,5,2,3,6,4] => [1,2,1,3,1]
[5,3,4,1,6,8,7,2] => [1,2,3,1,1]
[7,4,1,3,6,8,5,2] => [1,1,4,1,1]
[7,1,8,3,2,6,5,4] => [1,2,1,2,1,1]
[1,2,4,8,3,7,5,6] => [4,2,2]
[7,3,4,2,5,1,8,6] => [1,2,2,2,1]
[7,2,5,1,6,4,3,8] => [1,2,2,1,2]
[5,2,7,1,4,6,3,8] => [1,2,3,2]
[5,2,6,8,4,7,3,1] => [1,3,2,1,1]
[6,2,1,4,5,8,7,3] => [1,1,4,1,1]
[6,3,8,5,7,1,4,2] => [1,2,2,2,1]
[2,4,3,8,5,7,1,6] => [2,2,2,2]
[2,8,3,1,4,6,5,7] => [2,1,3,2]
[2,3,7,4,8,6,5,1] => [3,2,1,1,1]
[5,6,7,3,1,4,2,8] => [3,1,2,2]
[4,5,7,6,1,3,8,2] => [3,1,3,1]
[4,6,7,5,1,3,2,8] => [3,1,2,2]
[6,5,8,1,4,7,3,2] => [1,2,3,1,1]
[5,8,7,2,3,1,4,6] => [2,1,2,3]
[4,7,8,1,5,3,6,2] => [3,2,2,1]
[4,3,1,7,6,5,2,8] => [1,1,2,1,1,2]
[3,6,5,2,7,4,1,8] => [2,1,2,1,2]
[3,7,1,6,5,8,2,4] => [2,2,2,2]
[7,4,3,6,8,2,1,5] => [1,1,3,1,2]
[3,8,5,4,7,6,1,2] => [2,1,2,1,2]
[1,4,6,8,7,3,5,2] => [4,1,2,1]
[4,6,5,1,3,8,7,2] => [2,1,3,1,1]
[5,4,6,2,1,8,7,3] => [1,2,1,2,1,1]
[3,2,8,5,1,4,6,7] => [1,2,1,4]
[3,5,4,1,2,8,6,7] => [2,1,3,2]
[5,3,8,1,4,2,6,7] => [1,2,2,3]
[5,3,8,1,4,2,7,6] => [1,2,2,2,1]
[1,4,7,5,8,6,2,3] => [3,2,1,2]
[8,5,7,6,3,4,1,2] => [1,2,1,2,2]
[7,5,2,6,1,4,8,3] => [1,1,2,3,1]
[2,4,5,1,8,3,7,6] => [3,2,2,1]
[7,2,8,5,3,4,1,6] => [1,2,1,2,2]
[6,4,5,3,1,7,8,2] => [1,2,1,3,1]
[7,3,5,6,4,1,8,2] => [1,3,1,2,1]
[4,1,3,5,2,6,8,7] => [1,3,3,1]
[3,1,8,5,6,7,4,2] => [1,2,3,1,1]
[4,3,7,6,1,8,2,5] => [1,2,1,2,2]
[5,1,7,6,2,3,4,8] => [1,2,1,4]
[4,3,7,6,2,8,1,5] => [1,2,1,2,2]
[5,2,7,6,4,1,8,3] => [1,2,1,1,2,1]
[3,6,5,7,8,4,1,2] => [2,3,1,2]
[6,5,2,4,7,3,1,8] => [1,1,3,1,2]
[6,1,2,5,7,8,3,4] => [1,5,2]
[6,4,3,1,8,5,7,2] => [1,1,1,2,2,1]
[2,4,3,5,8,1,7,6] => [2,3,2,1]
[4,2,5,3,1,6,8,7] => [1,2,1,3,1]
[3,2,7,6,1,5,8,4] => [1,2,1,3,1]
[1,2,7,6,4,3,8,5] => [3,1,1,2,1]
[3,4,7,6,8,1,5,2] => [3,2,2,1]
[2,4,7,6,8,1,5,3] => [3,2,2,1]
[2,1,7,6,4,5,3,8] => [1,2,1,2,2]
[1,4,7,6,8,5,2,3] => [3,2,1,2]
[2,5,6,3,4,1,8,7] => [3,2,2,1]
[4,6,2,1,5,8,3,7] => [2,1,3,2]
[4,6,7,2,3,8,5,1] => [3,3,1,1]
[2,3,6,8,7,1,5,4] => [4,1,2,1]
[2,3,7,8,4,5,1,6] => [4,2,2]
[2,3,5,8,7,4,1,6] => [4,1,1,2]
[2,3,5,8,7,4,6,1] => [4,1,2,1]
[2,3,7,8,6,4,1,5] => [4,1,1,2]
[5,6,4,1,8,3,7,2] => [2,1,2,2,1]
[5,7,4,1,8,6,2,3] => [2,1,2,1,2]
[4,5,3,7,8,1,2,6] => [2,3,3]
[2,3,5,8,1,7,4,6] => [4,2,2]
[5,4,2,7,8,3,1,6] => [1,1,3,1,2]
[2,3,5,8,1,6,4,7] => [4,2,2]
[1,5,8,7,3,6,4,2] => [3,1,2,1,1]
[6,2,5,4,7,1,3,8] => [1,2,2,3]
[8,6,1,5,7,4,2,3] => [1,1,3,1,2]
[1,8,4,5,7,3,6,2] => [2,3,2,1]
[1,6,4,5,8,7,2,3] => [2,3,1,2]
[1,7,4,5,8,3,6,2] => [2,3,2,1]
[8,6,1,5,4,2,7,3] => [1,1,2,1,2,1]
[7,3,6,1,8,5,2,4] => [1,2,2,1,2]
[2,8,5,6,3,1,4,7] => [2,2,1,3]
[2,3,6,8,7,4,1,5] => [4,1,1,2]
[2,5,8,1,3,6,7,4] => [3,4,1]
[4,8,2,6,1,5,7,3] => [2,2,3,1]
[6,3,2,7,4,1,5,8] => [1,1,2,1,3]
[2,5,3,1,4,7,6,8] => [2,1,3,2]
[2,5,7,8,3,4,1,6] => [4,2,2]
[2,3,7,4,1,5,8,6] => [3,1,3,1]
[2,3,7,8,1,5,4,6] => [4,2,2]
[2,5,8,1,3,7,4,6] => [3,3,2]
[2,5,3,1,4,6,8,7] => [2,1,4,1]
[5,2,6,7,8,3,1,4] => [1,4,1,2]
[2,8,5,6,3,4,1,7] => [2,2,2,2]
[5,6,2,7,8,3,1,4] => [2,3,1,2]
[7,4,2,8,3,5,6,1] => [1,1,2,3,1]
[6,2,7,8,5,3,4,1] => [1,3,1,2,1]
[4,2,8,6,3,5,1,7] => [1,2,1,2,2]
[7,8,4,1,2,5,6,3] => [2,1,4,1]
[3,8,6,1,4,5,2,7] => [2,1,3,2]
[6,7,3,8,1,4,5,2] => [2,2,3,1]
[6,7,8,4,1,2,5,3] => [3,1,3,1]
[2,6,8,4,3,1,5,7] => [3,1,1,3]
[8,4,5,1,6,3,2,7] => [1,2,2,1,2]
[2,6,7,8,4,1,5,3] => [4,1,2,1]
[2,3,7,5,8,4,6,1] => [3,2,2,1]
[2,5,3,1,6,8,4,7] => [2,1,3,2]
[5,6,7,2,8,1,4,3] => [3,2,2,1]
[3,7,8,5,1,4,6,2] => [3,1,3,1]
[2,5,6,7,1,8,4,3] => [4,2,1,1]
[8,5,3,6,4,2,1,7] => [1,1,2,1,1,2]
[2,3,7,4,8,5,6,1] => [3,2,2,1]
[2,3,7,8,5,4,6,1] => [4,1,2,1]
[7,3,8,5,4,2,6,1] => [1,2,1,1,2,1]
[6,4,7,8,1,2,5,3] => [1,3,3,1]
[4,8,6,1,2,5,3,7] => [2,1,3,2]
[3,4,8,6,1,5,2,7] => [3,1,2,2]
[7,5,8,1,2,3,6,4] => [1,2,4,1]
[1,2,8,7,4,6,5,3] => [3,1,2,1,1]
[5,1,4,8,7,3,6,2] => [1,3,1,2,1]
[4,3,1,8,7,5,6,2] => [1,1,2,1,2,1]
[4,3,2,7,6,1,5,8] => [1,1,2,1,3]
[7,2,6,5,3,1,4,8] => [1,2,1,1,3]
[1,3,7,6,2,4,8,5] => [3,1,3,1]
[1,3,8,2,7,4,6,5] => [3,2,2,1]
[8,2,7,1,6,4,3,5] => [1,2,2,1,2]
[4,3,2,8,1,7,5,6] => [1,1,2,2,2]
[7,5,4,1,6,3,8,2] => [1,1,1,2,2,1]
[1,6,5,3,2,4,8,7] => [2,1,1,3,1]
[1,7,3,5,2,4,8,6] => [2,2,3,1]
[4,3,7,2,5,1,6,8] => [1,2,2,3]
[5,1,4,3,2,6,8,7] => [1,2,1,3,1]
[7,2,1,3,5,4,6,8] => [1,1,3,3]
[8,3,7,5,4,2,6,1] => [1,2,1,1,2,1]
[8,5,4,6,2,7,3,1] => [1,1,2,2,1,1]
[3,8,1,4,5,2,7,6] => [2,3,2,1]
[5,3,1,7,6,4,8,2] => [1,1,2,1,2,1]
[1,6,8,7,5,2,3,4] => [3,1,1,3]
[7,2,4,8,5,6,3,1] => [1,3,2,1,1]
[2,5,3,4,8,7,1,6] => [2,3,1,2]
[6,5,4,8,2,3,7,1] => [1,1,2,3,1]
[1,6,3,7,8,4,5,2] => [2,3,2,1]
[4,3,6,1,8,5,2,7] => [1,2,2,1,2]
[2,7,3,5,6,8,4,1] => [2,4,1,1]
[1,3,6,2,5,4,8,7] => [3,2,2,1]
[1,4,8,7,3,6,2,5] => [3,1,2,2]
[1,4,8,6,2,5,3,7] => [3,1,2,2]
[4,5,7,6,3,1,8,2] => [3,1,1,2,1]
[4,6,7,5,1,3,8,2] => [3,1,3,1]
[3,6,5,1,4,7,8,2] => [2,1,4,1]
[4,6,7,3,1,5,8,2] => [3,1,3,1]
[5,4,1,8,7,3,6,2] => [1,1,2,1,2,1]
[2,5,8,1,6,7,4,3] => [3,3,1,1]
[8,3,2,5,4,6,1,7] => [1,1,2,2,2]
[6,2,4,7,5,3,1,8] => [1,3,1,1,2]
[6,2,5,1,8,7,3,4] => [1,2,2,1,2]
[3,2,6,1,5,8,7,4] => [1,2,3,1,1]
[6,2,1,8,4,5,7,3] => [1,1,2,3,1]
[5,1,8,7,6,4,2,3] => [1,2,1,1,1,2]
[7,1,4,5,3,8,2,6] => [1,3,2,2]
[6,5,4,2,3,8,1,7] => [1,1,1,3,2]
[6,1,4,8,3,7,2,5] => [1,3,2,2]
[4,5,3,8,6,2,1,7] => [2,2,1,1,2]
[3,6,4,2,8,5,1,7] => [2,1,2,1,2]
[2,6,5,3,1,8,4,7] => [2,1,1,2,2]
[4,2,3,6,7,5,1,8] => [1,4,1,2]
[6,2,3,5,7,4,1,8] => [1,4,1,2]
[7,2,4,6,3,5,1,8] => [1,3,2,2]
[1,5,3,8,6,2,4,7] => [2,2,1,3]
[8,1,2,4,7,5,3,6] => [1,4,1,2]
[8,5,1,2,4,7,3,6] => [1,1,4,2]
[5,1,8,2,4,7,3,6] => [1,2,3,2]
[1,6,3,8,4,7,2,5] => [2,2,2,2]
[6,1,8,3,5,2,4,7] => [1,2,2,3]
[8,1,5,2,4,7,3,6] => [1,2,3,2]
[8,5,7,1,4,2,3,6] => [1,2,2,3]
[7,5,8,1,4,2,3,6] => [1,2,2,3]
[5,1,3,8,6,2,4,7] => [1,3,1,3]
[7,2,4,8,5,1,3,6] => [1,3,1,3]
[6,1,3,8,4,7,2,5] => [1,3,2,2]
[8,2,4,7,5,1,3,6] => [1,3,1,3]
[1,3,4,8,5,6,2,7] => [4,2,2]
[8,2,3,5,1,7,4,6] => [1,3,2,2]
[2,3,1,5,8,7,4,6] => [2,3,1,2]
[8,1,3,4,5,7,2,6] => [1,5,2]
[5,2,1,4,8,7,3,6] => [1,1,3,1,2]
[2,8,3,5,4,7,1,6] => [2,2,2,2]
[8,3,6,1,5,2,7,4] => [1,2,2,2,1]
[7,2,4,8,1,6,3,5] => [1,3,2,2]
[1,5,4,6,7,2,8,3] => [2,3,2,1]
[4,3,5,6,1,7,2,8] => [1,3,2,2]
[3,8,2,4,7,5,6,1] => [2,3,2,1]
[3,2,7,1,8,6,5,4] => [1,2,2,1,1,1]
[2,8,1,4,6,5,7,3] => [2,3,2,1]
[6,1,2,7,4,5,3,8] => [1,3,2,2]
[1,7,2,3,8,5,6,4] => [2,3,2,1]
[1,3,8,5,6,7,2,4] => [3,3,2]
[2,7,4,5,6,1,3,8] => [2,3,3]
[6,2,4,1,5,7,8,3] => [1,2,4,1]
[3,1,4,6,7,5,2,8] => [1,4,1,2]
[8,1,4,7,5,6,3,2] => [1,3,2,1,1]
[4,2,1,5,7,6,8,3] => [1,1,3,2,1]
[1,4,2,5,7,8,6,3] => [2,4,1,1]
[4,3,2,7,6,1,8,5] => [1,1,2,1,2,1]
[7,2,6,5,3,1,8,4] => [1,2,1,1,2,1]
[2,8,7,1,5,4,6,3] => [2,1,2,2,1]
[7,2,8,1,3,5,6,4] => [1,2,4,1]
[5,2,3,1,8,7,6,4] => [1,2,2,1,1,1]
[6,1,7,3,5,2,4,8] => [1,2,2,3]
[2,7,6,4,3,5,8,1] => [2,1,1,3,1]
[6,7,2,5,3,4,8,1] => [2,2,3,1]
[5,8,4,1,3,6,7,2] => [2,1,4,1]
[1,8,5,3,7,6,4,2] => [2,1,2,1,1,1]
[6,7,2,3,8,1,4,5] => [2,3,3]
[8,2,5,3,7,1,4,6] => [1,2,2,3]
[3,2,7,4,8,1,5,6] => [1,2,2,3]
[2,8,5,6,4,7,1,3] => [2,2,2,2]
[3,1,5,8,7,4,6,2] => [1,3,1,2,1]
[5,2,8,1,7,4,6,3] => [1,2,2,2,1]
[1,5,3,8,6,4,7,2] => [2,2,1,2,1]
[4,7,5,6,2,1,8,3] => [2,2,1,2,1]
[8,1,3,4,6,2,7,5] => [1,4,2,1]
[1,3,5,6,2,8,7,4] => [4,2,1,1]
[2,5,4,7,3,1,8,6] => [2,2,1,2,1]
[4,6,3,1,2,5,7,8] => [2,1,5]
[7,4,6,8,3,1,2,5] => [1,3,1,3]
[8,5,4,7,3,1,2,6] => [1,1,2,1,3]
[7,3,2,1,5,4,8,6] => [1,1,1,2,2,1]
[1,5,6,3,4,2,8,7] => [3,2,2,1]
[6,1,4,3,5,2,7,8] => [1,2,2,3]
[4,1,5,3,6,7,2,8] => [1,2,3,2]
[2,5,6,4,8,1,3,7] => [3,2,3]
[5,1,6,3,7,2,4,8] => [1,2,2,3]
[5,4,1,6,2,3,7,8] => [1,1,2,4]
[5,1,4,6,2,3,7,8] => [1,3,4]
[6,4,1,3,5,7,2,8] => [1,1,4,2]
[5,3,1,4,7,2,6,8] => [1,1,3,3]
[7,1,3,2,6,4,5,8] => [1,2,2,3]
[5,2,4,7,3,1,6,8] => [1,3,1,3]
[2,5,6,3,4,1,7,8] => [3,2,3]
[5,4,6,2,1,7,3,8] => [1,2,1,2,2]
[5,1,7,2,4,3,6,8] => [1,2,2,3]
[1,3,6,5,2,4,7,8] => [3,1,4]
[5,1,7,3,4,2,6,8] => [1,2,2,3]
[2,5,6,8,3,1,4,7] => [4,1,3]
[1,6,5,4,2,3,7,8] => [2,1,1,4]
[8,5,6,2,7,4,1,3] => [1,2,2,1,2]
[6,4,5,1,2,8,7,3] => [1,2,3,1,1]
[6,8,3,5,2,1,4,7] => [2,2,1,3]
[6,2,3,5,7,8,1,4] => [1,5,2]
[6,3,4,7,8,5,1,2] => [1,4,1,2]
[5,8,1,4,2,6,7,3] => [2,2,3,1]
[2,3,8,4,6,5,1,7] => [3,2,1,2]
[6,3,8,5,1,4,7,2] => [1,2,1,3,1]
[8,2,7,4,1,6,3,5] => [1,2,1,2,2]
[5,7,3,4,8,6,2,1] => [2,3,1,1,1]
[7,1,4,3,8,6,2,5] => [1,2,2,1,2]
[5,4,1,2,7,6,3,8] => [1,1,3,1,2]
[5,4,1,3,2,7,6,8] => [1,1,2,2,2]
[8,2,5,4,3,1,7,6] => [1,2,1,1,2,1]
[5,3,1,4,6,8,7,2] => [1,1,4,1,1]
[6,4,3,5,1,8,7,2] => [1,1,2,2,1,1]
[8,2,4,5,6,1,7,3] => [1,4,2,1]
[8,2,6,5,7,3,1,4] => [1,2,2,1,2]
[7,6,3,5,1,2,8,4] => [1,1,2,3,1]
[2,3,7,1,6,8,4,5] => [3,3,2]
[8,2,4,5,3,7,1,6] => [1,3,2,2]
[8,2,4,3,5,6,1,7] => [1,2,3,2]
[4,3,1,5,6,2,7,8] => [1,1,3,3]
[2,6,3,8,7,1,4,5] => [2,2,1,3]
[5,8,7,3,1,2,4,6] => [2,1,1,4]
[2,7,8,1,4,5,3,6] => [3,3,2]
[4,1,2,8,7,3,6,5] => [1,3,1,2,1]
[2,5,6,3,8,7,1,4] => [3,2,1,2]
[6,1,2,4,3,8,7,5] => [1,3,2,1,1]
[3,7,8,1,2,4,6,5] => [3,4,1]
[7,3,4,1,2,6,8,5] => [1,2,4,1]
[8,4,3,1,2,6,5,7] => [1,1,1,3,2]
[3,8,2,7,4,5,1,6] => [2,2,2,2]
[8,6,2,3,5,4,1,7] => [1,1,3,1,2]
[8,2,6,1,3,5,4,7] => [1,2,3,2]
[8,4,3,7,2,5,6,1] => [1,1,2,3,1]
[8,3,1,7,4,5,2,6] => [1,1,2,2,2]
[8,2,4,5,1,7,3,6] => [1,3,2,2]
[6,8,2,4,5,1,7,3] => [2,3,2,1]
[4,3,8,1,7,5,6,2] => [1,2,2,2,1]
[8,4,3,7,1,5,6,2] => [1,1,2,3,1]
[8,3,4,7,2,6,5,1] => [1,3,2,1,1]
[8,1,3,7,6,4,5,2] => [1,3,1,2,1]
[8,3,7,1,4,5,6,2] => [1,2,4,1]
[8,7,3,6,1,2,5,4] => [1,1,2,3,1]
[8,3,7,6,2,4,5,1] => [1,2,1,3,1]
[8,7,2,3,6,1,5,4] => [1,1,3,2,1]
[8,2,7,1,3,4,6,5] => [1,2,4,1]
[5,1,8,4,2,3,7,6] => [1,2,1,3,1]
[8,2,4,7,3,1,6,5] => [1,3,1,2,1]
[8,2,7,6,3,1,4,5] => [1,2,1,1,3]
[6,8,1,4,7,3,2,5] => [2,3,1,2]
[8,5,7,2,6,3,1,4] => [1,2,2,1,2]
[5,8,2,7,3,1,6,4] => [2,2,1,2,1]
[8,1,2,6,7,5,4,3] => [1,4,1,1,1]
[8,4,1,7,5,6,2,3] => [1,1,2,2,2]
[8,2,4,7,6,5,1,3] => [1,3,1,1,2]
[8,2,7,6,4,5,1,3] => [1,2,1,2,2]
[8,4,7,2,3,6,5,1] => [1,2,3,1,1]
[8,2,4,7,3,6,5,1] => [1,3,2,1,1]
[8,1,7,6,4,5,2,3] => [1,2,1,2,2]
[8,1,2,7,6,4,5,3] => [1,3,1,2,1]
[8,1,4,7,3,6,5,2] => [1,3,2,1,1]
[2,5,1,8,7,3,6,4] => [2,2,1,2,1]
[2,8,1,5,3,7,6,4] => [2,2,2,1,1]
[4,2,1,8,7,3,6,5] => [1,1,2,1,2,1]
[1,4,8,5,2,7,6,3] => [3,1,2,1,1]
[1,8,2,4,7,5,6,3] => [2,3,2,1]
[1,3,8,4,7,5,6,2] => [3,2,2,1]
[2,3,8,1,7,5,6,4] => [3,2,2,1]
[2,3,8,4,7,1,6,5] => [3,2,2,1]
[2,8,1,7,3,4,6,5] => [2,2,3,1]
[1,8,2,3,5,6,4,7] => [2,4,2]
[1,6,8,4,2,3,5,7] => [3,1,4]
[1,6,7,4,2,3,5,8] => [3,1,4]
[1,7,2,3,5,6,4,8] => [2,4,2]
[1,6,2,3,5,7,4,8] => [2,4,2]
[1,5,2,3,7,6,4,8] => [2,3,1,2]
[1,4,7,6,2,3,5,8] => [3,1,4]
[1,8,6,2,3,5,4,7] => [2,1,3,2]
[1,7,6,2,3,8,4,5] => [2,1,3,2]
[1,8,2,3,7,6,4,5] => [2,3,1,2]
[1,8,2,3,5,4,7,6] => [2,3,2,1]
[1,7,3,8,6,2,5,4] => [2,2,1,2,1]
[7,3,8,6,2,1,5,4] => [1,2,1,1,2,1]
[2,1,3,6,8,5,4,7] => [1,4,1,2]
[3,6,8,1,4,2,5,7] => [3,2,3]
[5,8,2,7,3,1,4,6] => [2,2,1,3]
[5,1,3,8,4,7,2,6] => [1,3,2,2]
[5,8,2,3,7,4,1,6] => [2,3,1,2]
[4,2,8,3,7,6,1,5] => [1,2,2,1,2]
[8,1,2,4,7,6,3,5] => [1,4,1,2]
[8,4,3,7,6,1,2,5] => [1,1,2,1,3]
[1,3,6,2,8,5,4,7] => [3,2,1,2]
[1,3,5,6,4,8,2,7] => [4,2,2]
[8,3,6,7,5,2,1,4] => [1,3,1,1,2]
[4,3,6,1,8,2,5,7] => [1,2,2,3]
[3,8,7,4,6,2,1,5] => [2,1,2,1,2]
[3,1,8,7,4,6,2,5] => [1,2,1,2,2]
[1,4,8,3,7,2,5,6] => [3,2,3]
[8,1,3,4,7,2,5,6] => [1,4,3]
[8,4,2,6,3,5,7,1] => [1,1,2,3,1]
[8,5,4,2,6,7,3,1] => [1,1,1,3,1,1]
[1,7,3,2,5,6,8,4] => [2,1,4,1]
[5,8,3,1,4,6,2,7] => [2,1,3,2]
[4,3,7,1,2,8,6,5] => [1,2,3,1,1]
[5,4,3,7,2,1,8,6] => [1,1,2,1,2,1]
[5,4,3,8,7,1,2,6] => [1,1,2,1,3]
[4,2,7,5,1,3,8,6] => [1,2,1,3,1]
[2,1,6,7,3,5,8,4] => [1,3,3,1]
[1,6,2,8,7,4,5,3] => [2,2,1,2,1]
[3,1,7,8,5,2,4,6] => [1,3,1,3]
[4,3,1,6,7,2,8,5] => [1,1,3,2,1]
[2,5,3,8,6,7,1,4] => [2,2,2,2]
[6,5,2,4,3,8,1,7] => [1,1,2,2,2]
[7,5,2,4,3,6,1,8] => [1,1,2,2,2]
[6,4,3,2,8,5,1,7] => [1,1,1,2,1,2]
[7,2,3,8,6,5,1,4] => [1,3,1,1,2]
[1,8,4,3,7,5,2,6] => [2,1,2,1,2]
[1,5,6,8,4,3,2,7] => [4,1,1,2]
[6,4,2,3,7,1,8,5] => [1,1,3,2,1]
[4,5,8,7,1,3,2,6] => [3,1,2,2]
[1,5,4,7,8,3,2,6] => [2,3,1,2]
[4,7,1,3,6,5,2,8] => [2,3,1,2]
[4,6,1,8,2,7,5,3] => [2,2,2,1,1]
[6,3,2,1,5,7,8,4] => [1,1,1,4,1]
[3,4,8,1,5,6,2,7] => [3,3,2]
[8,4,1,6,7,3,2,5] => [1,1,3,1,2]
[6,3,5,2,8,4,7,1] => [1,2,2,2,1]
[1,6,3,5,2,8,4,7] => [2,2,2,2]
[5,4,8,6,3,7,2,1] => [1,2,1,2,1,1]
[6,4,5,8,1,3,7,2] => [1,3,3,1]
[6,3,5,1,8,4,7,2] => [1,2,2,2,1]
[2,6,3,1,5,8,4,7] => [2,1,3,2]
[2,5,4,8,6,3,1,7] => [2,2,1,1,2]
[2,5,4,8,6,3,7,1] => [2,2,1,2,1]
[1,2,5,4,8,6,3,7] => [3,2,1,2]
[6,4,5,8,2,1,7,3] => [1,3,1,2,1]
[5,3,4,1,2,6,8,7] => [1,2,4,1]
[1,4,3,5,2,8,6,7] => [2,2,2,2]
[1,3,5,4,8,2,6,7] => [3,2,3]
[3,5,4,8,2,6,1,7] => [2,2,2,2]
[3,6,4,5,1,2,8,7] => [2,2,3,1]
[4,3,5,1,8,6,2,7] => [1,2,2,1,2]
[3,5,4,8,1,6,2,7] => [2,2,2,2]
[3,4,8,5,6,1,2,7] => [3,2,3]
[3,4,8,5,6,2,1,7] => [3,2,1,2]
[3,5,4,8,1,6,7,2] => [2,2,3,1]
[2,4,3,1,5,8,6,7] => [2,1,3,2]
[1,7,6,2,5,4,8,3] => [2,1,2,2,1]
[5,6,1,7,4,3,8,2] => [2,2,1,2,1]
[2,8,3,1,5,7,6,4] => [2,1,3,1,1]
[3,7,2,1,5,6,8,4] => [2,1,4,1]
[7,4,2,1,5,6,8,3] => [1,1,1,4,1]
[3,8,1,7,2,5,4,6] => [2,2,2,2]
[3,8,4,1,2,7,5,6] => [2,1,3,2]
[3,1,5,6,4,2,7,8] => [1,3,1,3]
[4,8,6,1,2,5,7,3] => [2,1,4,1]
[5,2,1,4,6,7,3,8] => [1,1,4,2]
[6,7,1,5,2,4,3,8] => [2,2,2,2]
[4,8,2,1,6,5,7,3] => [2,1,2,2,1]
[8,2,4,1,5,7,6,3] => [1,2,3,1,1]
[7,5,1,3,6,4,2,8] => [1,1,3,1,2]
[3,1,5,4,6,2,7,8] => [1,2,2,3]
[8,3,4,1,6,5,7,2] => [1,2,2,2,1]
[1,4,3,7,8,2,6,5] => [2,3,2,1]
[8,2,1,5,4,6,3,7] => [1,1,2,2,2]
[8,1,6,4,3,5,2,7] => [1,2,1,2,2]
[4,1,3,7,8,2,5,6] => [1,4,3]
[1,3,7,8,2,6,4,5] => [4,2,2]
[1,5,6,2,8,3,7,4] => [3,2,2,1]
[5,2,1,3,7,8,6,4] => [1,1,4,1,1]
[2,1,6,5,3,8,7,4] => [1,2,1,2,1,1]
[5,2,1,7,4,6,8,3] => [1,1,2,3,1]
[2,4,1,5,7,6,8,3] => [2,3,2,1]
[4,5,3,1,6,2,8,7] => [2,1,2,2,1]
[5,4,1,3,7,6,8,2] => [1,1,3,2,1]
[3,1,4,2,8,7,5,6] => [1,2,2,1,2]
[1,4,3,2,8,7,5,6] => [2,1,2,1,2]
[1,3,7,8,6,2,4,5] => [4,1,3]
[1,3,8,5,4,7,2,6] => [3,1,2,2]
[1,4,2,7,6,8,5,3] => [2,2,2,1,1]
[4,7,8,1,3,5,2,6] => [3,3,2]
[4,2,3,5,7,8,1,6] => [1,5,2]
[2,6,7,5,1,4,8,3] => [3,1,3,1]
[5,6,8,2,1,4,7,3] => [3,1,3,1]
[3,7,5,6,4,2,1,8] => [2,2,1,1,2]
[5,6,1,3,7,4,2,8] => [2,3,1,2]
[7,8,2,5,3,6,4,1] => [2,2,2,1,1]
[6,1,3,2,7,4,5,8] => [1,2,2,3]
[7,2,6,1,3,5,4,8] => [1,2,3,2]
[7,2,5,8,3,6,4,1] => [1,3,2,1,1]
[7,4,5,2,6,8,3,1] => [1,2,3,1,1]
[6,1,4,3,7,5,8,2] => [1,2,2,2,1]
[1,4,6,7,5,8,2,3] => [4,2,2]
[5,1,2,8,7,6,4,3] => [1,3,1,1,1,1]
[7,1,3,6,5,8,2,4] => [1,3,2,2]
[3,6,1,4,7,5,2,8] => [2,3,1,2]
[7,1,3,4,6,5,8,2] => [1,4,2,1]
[3,8,6,4,5,2,7,1] => [2,1,2,2,1]
[4,5,8,6,2,3,7,1] => [3,1,3,1]
[4,6,8,5,3,7,2,1] => [3,1,2,1,1]
[4,5,7,2,8,6,3,1] => [3,2,1,1,1]
[3,7,4,5,1,6,8,2] => [2,2,3,1]
[4,6,8,1,2,5,7,3] => [3,4,1]
[4,6,8,5,1,3,7,2] => [3,1,3,1]
[3,7,4,5,2,8,6,1] => [2,2,2,1,1]
[3,7,8,4,6,1,5,2] => [3,2,2,1]
[4,5,7,2,1,6,8,3] => [3,1,3,1]
[4,5,1,6,8,3,7,2] => [2,3,2,1]
[8,3,5,4,6,1,2,7] => [1,2,2,3]
[1,7,4,5,2,6,8,3] => [2,2,3,1]
[1,4,2,6,5,3,8,7] => [2,2,1,2,1]
[3,1,5,8,4,6,2,7] => [1,3,2,2]
[8,2,6,3,4,1,5,7] => [1,2,2,3]
[4,6,5,8,2,1,3,7] => [2,2,1,3]
[1,4,8,3,5,6,2,7] => [3,3,2]
[1,8,7,4,2,3,6,5] => [2,1,1,3,1]
[4,3,1,8,5,7,2,6] => [1,1,2,2,2]
[7,3,2,4,8,1,6,5] => [1,1,3,2,1]
[3,7,2,4,5,8,1,6] => [2,4,2]
[3,2,7,4,6,1,8,5] => [1,2,2,2,1]
[8,3,2,4,6,1,7,5] => [1,1,3,2,1]
[8,3,2,4,5,7,1,6] => [1,1,4,2]
[7,4,6,2,1,3,8,5] => [1,2,1,3,1]
[3,6,7,2,4,1,8,5] => [3,2,2,1]
[8,4,7,2,3,5,6,1] => [1,2,4,1]
[4,3,2,8,6,1,5,7] => [1,1,2,1,3]
[5,7,1,8,4,3,6,2] => [2,2,1,2,1]
[5,4,8,7,6,2,3,1] => [1,2,1,1,2,1]
[3,6,1,5,2,4,7,8] => [2,2,4]
[3,7,6,2,5,4,1,8] => [2,1,2,1,2]
[2,7,1,5,3,4,6,8] => [2,2,4]
[5,2,3,8,7,1,6,4] => [1,3,1,2,1]
[7,5,2,4,1,3,8,6] => [1,1,2,3,1]
[7,2,6,8,5,1,3,4] => [1,3,1,3]
[8,6,5,4,1,3,7,2] => [1,1,1,1,3,1]
[8,2,3,4,1,6,7,5] => [1,3,3,1]
[3,8,7,5,4,2,1,6] => [2,1,1,1,1,2]
[3,6,4,8,5,2,1,7] => [2,2,1,1,2]
[5,3,6,2,1,4,8,7] => [1,2,1,3,1]
[7,3,6,5,8,1,4,2] => [1,2,2,2,1]
[7,3,4,8,6,1,5,2] => [1,3,1,2,1]
[5,2,3,1,6,8,4,7] => [1,2,3,2]
[7,4,3,8,1,6,5,2] => [1,1,2,2,1,1]
[5,1,4,2,7,8,6,3] => [1,2,3,1,1]
[5,4,1,2,7,6,8,3] => [1,1,3,2,1]
[2,8,7,4,1,5,3,6] => [2,1,1,2,2]
[2,1,7,5,8,4,3,6] => [1,2,2,1,2]
[3,6,1,2,8,5,7,4] => [2,3,2,1]
[6,5,1,4,3,8,7,2] => [1,1,2,2,1,1]
[6,3,1,2,7,5,8,4] => [1,1,3,2,1]
[7,5,8,1,4,3,6,2] => [1,2,2,2,1]
[7,2,1,6,5,8,4,3] => [1,1,2,2,1,1]
[7,4,5,3,8,6,2,1] => [1,2,2,1,1,1]
[2,4,7,8,6,3,1,5] => [4,1,1,2]
[6,2,4,3,5,8,1,7] => [1,2,3,2]
[2,4,5,8,1,7,3,6] => [4,2,2]
[5,2,3,8,4,7,6,1] => [1,3,2,1,1]
[4,7,3,5,8,2,1,6] => [2,3,1,2]
[7,2,5,4,8,3,1,6] => [1,2,2,1,2]
[5,2,8,7,4,6,3,1] => [1,2,1,2,1,1]
[2,4,7,6,3,1,8,5] => [3,1,1,2,1]
[4,7,6,2,5,8,1,3] => [2,1,3,2]
[6,3,2,5,7,1,8,4] => [1,1,3,2,1]
[7,6,3,1,5,8,2,4] => [1,1,1,3,2]
[7,4,1,6,8,3,5,2] => [1,1,3,2,1]
[3,6,2,4,5,8,1,7] => [2,4,2]
[6,3,2,4,5,8,1,7] => [1,1,4,2]
[7,4,2,3,6,8,1,5] => [1,1,4,2]
[2,6,4,5,8,3,1,7] => [2,3,1,2]
[3,7,4,8,6,2,5,1] => [2,2,1,2,1]
[4,8,7,1,3,6,2,5] => [2,1,3,2]
[7,3,5,2,8,1,4,6] => [1,2,2,3]
[1,5,8,7,4,2,3,6] => [3,1,1,3]
[1,7,2,4,5,8,6,3] => [2,4,1,1]
[1,4,6,8,7,2,5,3] => [4,1,2,1]
[1,6,2,7,5,3,4,8] => [2,2,1,3]
[1,3,7,2,6,4,5,8] => [3,2,3]
[1,7,3,2,8,5,6,4] => [2,1,2,2,1]
[1,6,5,2,4,8,3,7] => [2,1,3,2]
[1,7,3,8,4,2,5,6] => [2,2,1,3]
[1,6,2,4,7,5,8,3] => [2,3,2,1]
[1,6,2,7,4,3,8,5] => [2,2,1,2,1]
[1,5,8,2,3,6,4,7] => [3,3,2]
[2,5,3,6,7,1,4,8] => [2,3,3]
[6,4,1,5,7,2,3,8] => [1,1,3,3]
[7,5,6,2,1,4,8,3] => [1,2,1,3,1]
[6,4,1,5,7,3,8,2] => [1,1,3,2,1]
[2,5,3,6,7,4,8,1] => [2,3,2,1]
[6,1,5,7,3,4,2,8] => [1,3,2,2]
[1,2,7,3,8,5,6,4] => [3,2,2,1]
[8,1,6,3,2,7,5,4] => [1,2,1,2,1,1]
[7,4,1,6,3,8,2,5] => [1,1,2,2,2]
[7,5,6,2,4,8,1,3] => [1,2,3,2]
[7,8,5,1,4,2,3,6] => [2,1,2,3]
[5,7,6,1,4,8,2,3] => [2,1,3,2]
[1,5,7,4,3,8,6,2] => [3,1,2,1,1]
[3,7,8,4,2,1,5,6] => [3,1,1,3]
[5,4,1,3,6,2,7,8] => [1,1,3,3]
[6,5,2,1,4,7,3,8] => [1,1,1,3,2]
[5,6,2,3,7,1,4,8] => [2,3,3]
[5,6,2,3,7,4,8,1] => [2,3,2,1]
[1,6,2,3,7,5,4,8] => [2,3,1,2]
[7,6,2,3,1,5,8,4] => [1,1,2,3,1]
[2,7,3,1,4,5,8,6] => [2,1,4,1]
[6,5,8,3,2,7,1,4] => [1,2,1,2,2]
[8,4,3,1,7,6,5,2] => [1,1,1,2,1,1,1]
[1,2,7,6,5,3,4,8] => [3,1,1,3]
[1,2,7,6,4,5,3,8] => [3,1,2,2]
[1,2,8,7,6,4,5,3] => [3,1,1,2,1]
[1,2,8,7,5,3,4,6] => [3,1,1,3]
[1,2,6,5,3,4,8,7] => [3,1,3,1]
[1,2,7,4,5,3,6,8] => [3,2,3]
[1,2,6,7,5,3,4,8] => [4,1,3]
[1,2,7,5,4,3,6,8] => [3,1,1,3]
[1,2,6,8,7,4,5,3] => [4,1,2,1]
[1,2,8,6,7,4,5,3] => [3,2,2,1]
[3,4,5,6,8,2,7,1] => [5,2,1]
[3,7,5,2,1,6,4,8] => [2,1,1,2,2]
[6,1,3,5,8,4,2,7] => [1,4,1,2]
[5,2,4,8,1,6,3,7] => [1,3,2,2]
[7,2,1,4,5,6,3,8] => [1,1,4,2]
[4,6,1,3,7,5,2,8] => [2,3,1,2]
[5,6,8,1,3,4,2,7] => [3,3,2]
[1,5,6,7,3,4,2,8] => [4,2,2]
[5,6,7,1,4,3,2,8] => [3,2,1,2]
[5,7,8,1,4,2,3,6] => [3,2,3]
[4,6,8,5,2,1,7,3] => [3,1,1,2,1]
[1,6,7,8,2,4,5,3] => [4,3,1]
[4,7,8,2,1,3,5,6] => [3,1,4]
[5,7,8,3,2,4,6,1] => [3,1,3,1]
[3,5,4,1,8,2,6,7] => [2,1,2,3]
[3,5,4,1,8,2,7,6] => [2,1,2,2,1]
[3,6,1,8,4,2,7,5] => [2,2,1,2,1]
[5,7,8,2,3,1,6,4] => [3,2,2,1]
[6,7,8,2,3,5,1,4] => [3,3,2]
[6,7,8,2,5,1,3,4] => [3,2,3]
[6,7,8,2,5,3,4,1] => [3,2,2,1]
[5,7,8,2,6,4,3,1] => [3,2,1,1,1]
[1,6,7,8,2,5,4,3] => [4,2,1,1]
[6,7,8,2,5,4,1,3] => [3,2,1,2]
[4,5,2,7,8,6,1,3] => [2,3,1,2]
[2,6,5,3,4,7,1,8] => [2,1,3,2]
[1,4,7,3,6,5,8,2] => [3,2,2,1]
[2,4,7,3,6,5,1,8] => [3,2,1,2]
[4,7,1,3,6,5,8,2] => [2,3,2,1]
[1,8,5,3,4,2,6,7] => [2,1,2,3]
[1,3,5,8,7,2,6,4] => [4,1,2,1]
[2,3,5,7,4,6,1,8] => [4,2,2]
[6,4,1,8,5,7,3,2] => [1,1,2,2,1,1]
[4,1,3,8,7,5,2,6] => [1,3,1,1,2]
[6,7,3,1,2,5,8,4] => [2,1,4,1]
[2,8,1,4,7,5,6,3] => [2,3,2,1]
[6,5,8,2,1,4,7,3] => [1,2,1,3,1]
[8,5,1,6,7,2,4,3] => [1,1,3,2,1]
[6,1,8,5,7,3,2,4] => [1,2,2,1,2]
[3,6,7,2,1,5,8,4] => [3,1,3,1]
[7,8,4,3,5,1,6,2] => [2,1,2,2,1]
[3,1,7,6,2,5,8,4] => [1,2,1,3,1]
[2,5,6,1,3,8,7,4] => [3,3,1,1]
[2,8,1,3,5,7,6,4] => [2,4,1,1]
[3,1,5,4,6,8,2,7] => [1,2,3,2]
[5,8,3,2,6,4,7,1] => [2,1,2,2,1]
[6,7,1,4,5,2,8,3] => [2,3,2,1]
[7,2,5,6,1,3,8,4] => [1,3,3,1]
[6,4,1,2,5,8,3,7] => [1,1,4,2]
[5,7,2,6,3,1,8,4] => [2,2,1,2,1]
[4,6,3,5,7,1,8,2] => [2,3,2,1]
[4,7,3,5,2,6,8,1] => [2,2,3,1]
[7,3,6,5,2,4,8,1] => [1,2,1,3,1]
[7,3,6,4,5,1,8,2] => [1,2,2,2,1]
[2,6,3,5,7,1,8,4] => [2,3,2,1]
[2,3,5,4,7,1,8,6] => [3,2,2,1]
[4,5,6,8,1,7,2,3] => [4,2,2]
[4,5,8,2,7,3,6,1] => [3,2,2,1]
[4,1,5,7,2,6,8,3] => [1,3,3,1]
[1,3,7,4,2,5,8,6] => [3,1,3,1]
[8,7,2,6,5,3,4,1] => [1,1,2,1,2,1]
[6,8,4,1,5,7,3,2] => [2,1,3,1,1]
[4,5,1,7,2,6,8,3] => [2,2,3,1]
[8,1,6,2,3,7,5,4] => [1,2,3,1,1]
[7,3,1,2,6,5,8,4] => [1,1,3,2,1]
[7,1,3,5,6,4,8,2] => [1,4,2,1]
[7,2,3,6,4,5,8,1] => [1,3,3,1]
[6,1,2,5,3,7,4,8] => [1,3,2,2]
[7,3,4,2,8,1,6,5] => [1,2,2,2,1]
[1,3,4,7,8,5,6,2] => [5,2,1]
[1,8,5,3,6,4,7,2] => [2,1,2,2,1]
[1,6,4,5,8,3,7,2] => [2,3,2,1]
[1,3,6,5,8,4,7,2] => [3,2,2,1]
[8,3,1,6,5,4,2,7] => [1,1,2,1,1,2]
[4,5,7,3,2,1,8,6] => [3,1,1,2,1]
[2,5,8,1,6,4,3,7] => [3,2,1,2]
[4,6,1,2,5,3,8,7] => [2,3,2,1]
[2,5,6,7,3,1,4,8] => [4,1,3]
[7,2,5,6,1,4,3,8] => [1,3,2,2]
[6,7,5,1,3,2,8,4] => [2,1,2,2,1]
[3,5,8,6,7,2,1,4] => [3,2,1,2]
[2,8,3,6,4,1,7,5] => [2,2,1,2,1]
[8,5,7,1,3,4,2,6] => [1,2,3,2]
[5,1,8,7,3,2,6,4] => [1,2,1,1,2,1]
[6,5,3,4,8,2,1,7] => [1,1,3,1,2]
[6,4,8,7,3,1,2,5] => [1,2,1,1,3]
[5,4,8,7,3,6,2,1] => [1,2,1,2,1,1]
[3,8,5,6,2,4,7,1] => [2,2,3,1]
[4,8,5,6,2,1,7,3] => [2,2,1,2,1]
[5,8,6,3,7,4,2,1] => [2,1,2,1,1,1]
[6,8,7,1,2,5,3,4] => [2,1,3,2]
[5,2,7,6,8,3,4,1] => [1,2,2,2,1]
[8,4,5,2,7,3,6,1] => [1,2,2,2,1]
[6,3,7,4,5,2,8,1] => [1,2,2,2,1]
[7,3,4,2,8,5,6,1] => [1,2,2,2,1]
[4,3,6,5,8,2,7,1] => [1,2,2,2,1]
[8,2,7,4,5,3,6,1] => [1,2,2,2,1]
[7,2,8,4,5,3,6,1] => [1,2,2,2,1]
[6,3,8,2,7,4,5,1] => [1,2,2,2,1]
[3,2,8,4,7,5,6,1] => [1,2,2,2,1]
[8,3,6,2,7,4,5,1] => [1,2,2,2,1]
[3,4,7,8,2,6,5,1] => [4,2,1,1]
[3,2,6,8,4,5,7,1] => [1,3,3,1]
[2,6,5,8,4,7,3,1] => [2,2,2,1,1]
[4,3,5,6,8,2,1,7] => [1,4,1,2]
[2,6,5,8,7,4,1,3] => [2,2,1,1,2]
[3,4,6,8,5,2,1,7] => [4,1,1,2]
[1,7,8,4,3,6,5,2] => [3,1,2,1,1]
[1,7,8,3,6,5,4,2] => [3,2,1,1,1]
[6,4,5,8,7,2,1,3] => [1,3,1,1,2]
[5,8,1,7,2,4,3,6] => [2,2,2,2]
[4,6,7,8,3,1,2,5] => [4,1,3]
[5,3,4,6,8,1,2,7] => [1,4,3]
[3,6,4,5,8,1,2,7] => [2,3,3]
[6,4,1,3,7,5,2,8] => [1,1,3,1,2]
[5,7,1,6,4,3,2,8] => [2,2,1,1,2]
[6,8,5,4,2,3,1,7] => [2,1,1,2,2]
[5,8,1,6,4,2,3,7] => [2,2,1,3]
[3,8,6,5,2,1,4,7] => [2,1,1,1,3]
[1,4,8,7,2,5,3,6] => [3,1,2,2]
[6,8,1,7,2,4,3,5] => [2,2,2,2]
[2,7,6,8,4,1,3,5] => [2,2,1,3]
[6,5,8,3,2,4,1,7] => [1,2,1,2,2]
[2,5,7,3,8,1,4,6] => [3,2,3]
[6,4,1,3,2,8,7,5] => [1,1,2,2,1,1]
[6,5,2,3,8,7,4,1] => [1,1,3,1,1,1]
[1,5,6,2,3,8,7,4] => [3,3,1,1]
[8,3,5,2,1,6,7,4] => [1,2,1,3,1]
[5,6,8,3,4,7,1,2] => [3,3,2]
[2,5,1,6,3,8,7,4] => [2,2,2,1,1]
[3,5,2,7,6,8,1,4] => [2,2,2,2]
[3,6,2,7,5,8,1,4] => [2,2,2,2]
[1,5,4,7,2,8,6,3] => [2,2,2,1,1]
[3,6,4,7,1,8,2,5] => [2,2,2,2]
[2,6,3,7,1,8,4,5] => [2,2,2,2]
[2,6,1,7,3,8,5,4] => [2,2,2,1,1]
[2,6,4,7,1,8,5,3] => [2,2,2,1,1]
[2,5,1,7,6,8,4,3] => [2,2,2,1,1]
[2,6,5,7,4,8,1,3] => [2,2,2,2]
[2,6,4,7,1,8,3,5] => [2,2,2,2]
[2,6,4,7,3,8,1,5] => [2,2,2,2]
[1,6,5,7,3,8,2,4] => [2,2,2,2]
[1,8,2,4,5,6,3,7] => [2,4,2]
[1,8,5,3,7,6,2,4] => [2,1,2,1,2]
[1,8,5,7,6,4,2,3] => [2,2,1,1,2]
[1,8,3,7,4,2,6,5] => [2,2,1,2,1]
[6,1,4,2,7,3,5,8] => [1,2,2,3]
[6,5,1,3,7,4,2,8] => [1,1,3,1,2]
[7,6,1,8,3,4,2,5] => [1,1,2,2,2]
[6,4,2,3,8,7,5,1] => [1,1,3,1,1,1]
[6,1,4,2,7,8,3,5] => [1,2,3,2]
[6,5,1,3,7,8,4,2] => [1,1,4,1,1]
[5,1,3,2,7,8,6,4] => [1,2,3,1,1]
[5,6,8,2,4,7,1,3] => [3,3,2]
[5,6,7,1,4,8,2,3] => [3,3,2]
[6,7,4,2,3,8,5,1] => [2,1,3,1,1]
[5,8,7,3,2,4,6,1] => [2,1,1,3,1]
[4,1,3,2,5,8,6,7] => [1,2,3,2]
[5,1,3,2,6,8,4,7] => [1,2,3,2]
[5,7,1,4,6,8,2,3] => [2,4,2]
[4,1,3,2,5,6,8,7] => [1,2,4,1]
[6,1,4,8,3,7,5,2] => [1,3,2,1,1]
[7,8,2,3,6,4,1,5] => [2,3,1,2]
[6,7,4,3,2,8,1,5] => [2,1,1,2,2]
[2,5,8,6,4,3,1,7] => [3,1,1,1,2]
[2,4,1,7,5,6,3,8] => [2,2,2,2]
[6,5,1,3,2,7,8,4] => [1,1,2,3,1]
[4,1,3,5,2,8,7,6] => [1,3,2,1,1]
[4,5,8,6,3,7,1,2] => [3,1,2,2]
[6,2,7,4,1,8,3,5] => [1,2,1,2,2]
[3,2,4,6,8,1,7,5] => [1,4,2,1]
[6,1,7,8,3,4,2,5] => [1,3,2,2]
[2,4,7,8,5,1,6,3] => [4,1,2,1]
[1,3,2,5,8,4,7,6] => [2,3,2,1]
[2,1,3,5,8,4,7,6] => [1,4,2,1]
[1,4,3,7,6,2,8,5] => [2,2,1,2,1]
[1,4,2,7,6,3,8,5] => [2,2,1,2,1]
[1,5,4,2,7,3,8,6] => [2,1,2,2,1]
[3,6,5,1,7,8,2,4] => [2,1,3,2]
[1,6,2,5,7,3,8,4] => [2,3,2,1]
[1,4,7,8,2,6,3,5] => [4,2,2]
[1,2,7,6,8,5,3,4] => [3,2,1,2]
[2,4,6,1,7,8,5,3] => [3,3,1,1]
[1,4,3,8,2,5,7,6] => [2,2,3,1]
[1,5,7,3,6,4,2,8] => [3,2,1,2]
[1,6,7,2,4,8,3,5] => [3,3,2]
[3,7,2,8,4,1,5,6] => [2,2,1,3]
[5,1,4,6,3,8,2,7] => [1,3,2,2]
[5,4,3,6,2,8,1,7] => [1,1,2,2,2]
[2,6,3,5,8,1,4,7] => [2,3,3]
[2,7,1,6,8,4,3,5] => [2,3,1,2]
[7,2,6,4,1,8,3,5] => [1,2,1,2,2]
[3,6,1,5,8,2,7,4] => [2,3,2,1]
[5,3,4,1,7,8,6,2] => [1,2,3,1,1]
[4,7,6,5,8,2,3,1] => [2,1,2,2,1]
[5,3,4,7,8,6,2,1] => [1,4,1,1,1]
[2,3,8,4,5,6,1,7] => [3,3,2]
[2,3,8,4,5,7,1,6] => [3,3,2]
[4,3,5,7,2,1,8,6] => [1,3,1,2,1]
[4,3,5,7,2,8,6,1] => [1,3,2,1,1]
[2,3,8,4,7,1,5,6] => [3,2,3]
[3,4,1,7,6,5,8,2] => [2,2,1,2,1]
[4,1,8,3,2,6,5,7] => [1,2,1,2,2]
[4,3,7,5,1,6,8,2] => [1,2,1,3,1]
[6,1,3,8,2,4,5,7] => [1,3,4]
[8,2,7,4,3,5,1,6] => [1,2,1,2,2]
[5,7,2,8,3,1,4,6] => [2,2,1,3]
[4,2,7,5,6,8,3,1] => [1,2,3,1,1]
[1,2,6,8,4,3,5,7] => [4,1,3]
[7,2,6,3,1,8,4,5] => [1,2,1,2,2]
[5,8,4,1,3,7,2,6] => [2,1,3,2]
[7,2,4,6,5,8,3,1] => [1,3,2,1,1]
[5,8,4,1,7,3,2,6] => [2,1,2,1,2]
[6,2,3,5,8,4,7,1] => [1,4,2,1]
[3,4,2,1,6,8,5,7] => [2,1,3,2]
[6,8,4,3,1,2,5,7] => [2,1,1,4]
[5,7,2,8,4,3,1,6] => [2,2,1,1,2]
[8,1,3,5,6,4,7,2] => [1,4,2,1]
[3,4,7,1,5,6,2,8] => [3,3,2]
[4,8,2,6,5,3,7,1] => [2,2,1,2,1]
[4,8,7,2,5,6,1,3] => [2,1,3,2]
[5,8,6,4,7,3,2,1] => [2,1,2,1,1,1]
[8,5,2,3,1,6,7,4] => [1,1,2,3,1]
[2,8,6,3,5,1,7,4] => [2,1,2,2,1]
[8,3,2,6,4,1,7,5] => [1,1,2,1,2,1]
[8,4,1,5,3,6,7,2] => [1,1,2,3,1]
[8,3,5,1,4,6,7,2] => [1,2,4,1]
[8,5,1,3,4,6,7,2] => [1,1,5,1]
[3,8,6,2,5,4,7,1] => [2,1,2,2,1]
[3,8,4,6,5,2,7,1] => [2,2,1,2,1]
[8,1,7,4,2,5,3,6] => [1,2,1,2,2]
[8,3,2,5,1,4,7,6] => [1,1,2,3,1]
[8,4,5,1,2,6,7,3] => [1,2,4,1]
[8,1,5,3,2,6,7,4] => [1,2,1,3,1]
[8,1,5,2,4,6,7,3] => [1,2,4,1]
[5,2,6,4,1,3,8,7] => [1,2,1,3,1]
[7,1,3,5,2,8,6,4] => [1,3,2,1,1]
[8,6,4,7,1,3,5,2] => [1,1,2,3,1]
[8,6,3,5,7,2,1,4] => [1,1,3,1,2]
[5,8,6,2,1,4,7,3] => [2,1,1,3,1]
[8,5,3,1,4,6,2,7] => [1,1,1,3,2]
[6,8,4,3,2,1,7,5] => [2,1,1,1,2,1]
[2,1,8,5,4,3,7,6] => [1,2,1,1,2,1]
[7,1,6,4,8,5,3,2] => [1,2,2,1,1,1]
[6,2,8,5,4,1,3,7] => [1,2,1,1,3]
[6,4,8,5,3,2,7,1] => [1,2,1,1,2,1]
[3,6,1,8,5,4,2,7] => [2,2,1,1,2]
[4,7,8,5,3,2,6,1] => [3,1,1,2,1]
[3,8,5,4,2,6,7,1] => [2,1,1,3,1]
[7,4,2,6,3,8,5,1] => [1,1,2,2,1,1]
[4,8,5,6,2,7,1,3] => [2,2,2,2]
[4,5,8,6,2,7,1,3] => [3,1,2,2]
[7,5,6,3,2,8,4,1] => [1,2,1,2,1,1]
[4,8,6,5,7,3,1,2] => [2,1,2,1,2]
[5,3,2,8,6,7,1,4] => [1,1,2,2,2]
[5,7,6,3,8,4,2,1] => [2,1,2,1,1,1]
[8,5,4,6,2,7,1,3] => [1,1,2,2,2]
[8,4,7,5,6,3,1,2] => [1,2,2,1,2]
[4,6,8,5,7,3,1,2] => [3,2,1,2]
[6,8,5,4,7,2,3,1] => [2,1,2,2,1]
[2,6,7,1,8,5,4,3] => [3,2,1,1,1]
[3,4,8,1,2,6,5,7] => [3,3,2]
[3,2,5,6,7,1,4,8] => [1,4,3]
[2,5,7,3,4,8,1,6] => [3,3,2]
[2,7,3,5,6,1,4,8] => [2,3,3]
[5,2,4,7,8,1,3,6] => [1,4,3]
[4,8,5,6,1,2,7,3] => [2,2,3,1]
[2,5,6,8,7,1,4,3] => [4,1,2,1]
[1,7,8,5,4,6,2,3] => [3,1,2,2]
[4,6,8,1,5,2,7,3] => [3,2,2,1]
[6,3,1,4,5,8,7,2] => [1,1,4,1,1]
[6,1,2,5,3,8,7,4] => [1,3,2,1,1]
[6,1,3,4,8,7,2,5] => [1,4,1,2]
[6,8,7,1,5,2,4,3] => [2,1,2,2,1]
[5,3,8,1,2,6,7,4] => [1,2,4,1]
[2,8,5,3,7,6,4,1] => [2,1,2,1,1,1]
[1,6,4,2,7,8,5,3] => [2,1,3,1,1]
[5,1,2,4,6,7,3,8] => [1,5,2]
[5,1,3,6,7,2,4,8] => [1,4,3]
[3,1,4,7,5,8,6,2] => [1,3,2,1,1]
[8,3,1,7,4,6,5,2] => [1,1,2,2,1,1]
[8,2,3,6,4,1,7,5] => [1,3,1,2,1]
[2,3,7,5,8,6,1,4] => [3,2,1,2]
[3,8,5,1,2,4,7,6] => [2,1,4,1]
[3,4,7,5,2,8,6,1] => [3,1,2,1,1]
[1,3,6,4,8,2,7,5] => [3,2,2,1]
[1,6,2,7,8,3,5,4] => [2,3,2,1]
[6,8,1,5,3,4,7,2] => [2,2,3,1]
[1,7,6,2,8,5,3,4] => [2,1,2,1,2]
[6,4,7,3,5,8,2,1] => [1,2,3,1,1]
[1,5,8,6,4,7,2,3] => [3,1,2,2]
[8,6,1,2,3,7,5,4] => [1,1,4,1,1]
[5,6,2,8,1,7,3,4] => [2,2,2,2]
[6,8,4,5,1,3,7,2] => [2,2,3,1]
[7,3,8,1,6,2,5,4] => [1,2,2,2,1]
[2,5,3,7,4,1,6,8] => [2,2,1,3]
[2,6,7,3,4,1,5,8] => [3,2,3]
[2,7,6,3,4,1,5,8] => [2,1,2,3]
[5,1,3,7,4,2,6,8] => [1,3,1,3]
[6,2,7,3,4,1,5,8] => [1,2,2,3]
[5,2,3,8,1,4,6,7] => [1,3,4]
[1,6,8,3,2,4,5,7] => [3,1,4]
[2,5,3,8,1,4,6,7] => [2,2,4]
[2,5,3,1,8,4,6,7] => [2,1,2,3]
[8,6,5,2,4,3,7,1] => [1,1,1,2,2,1]
[6,2,5,3,7,4,8,1] => [1,2,2,2,1]
[8,5,4,2,6,3,7,1] => [1,1,1,2,2,1]
[8,5,3,2,6,4,7,1] => [1,1,1,2,2,1]
[7,4,6,5,8,2,3,1] => [1,2,2,2,1]
[7,3,6,5,8,2,4,1] => [1,2,2,2,1]
[7,3,6,4,8,2,5,1] => [1,2,2,2,1]
[7,3,5,4,8,2,6,1] => [1,2,2,2,1]
[7,3,6,8,4,5,1,2] => [1,3,2,2]
[2,6,5,7,4,1,8,3] => [2,2,1,2,1]
[1,6,5,7,4,2,8,3] => [2,2,1,2,1]
[2,3,5,7,1,8,6,4] => [4,2,1,1]
[6,4,5,1,8,2,3,7] => [1,2,2,3]
[1,2,7,4,8,5,6,3] => [3,2,2,1]
[7,2,5,6,3,8,4,1] => [1,3,2,1,1]
[1,6,7,4,8,5,2,3] => [3,2,1,2]
[2,6,7,4,8,5,1,3] => [3,2,1,2]
[4,7,8,5,1,3,6,2] => [3,1,3,1]
[1,4,8,2,5,3,6,7] => [3,2,3]
[1,5,3,6,2,8,4,7] => [2,2,2,2]
[4,6,1,3,7,2,8,5] => [2,3,2,1]
[2,6,3,4,8,5,1,7] => [2,3,1,2]
[7,6,3,4,8,5,2,1] => [1,1,3,1,1,1]
[1,6,3,4,8,5,2,7] => [2,3,1,2]
[1,7,3,4,8,5,6,2] => [2,3,2,1]
[7,4,8,2,5,3,6,1] => [1,2,2,2,1]
[3,5,4,6,8,1,7,2] => [2,3,2,1]
[2,5,8,6,4,3,7,1] => [3,1,1,2,1]
[6,4,2,5,7,1,8,3] => [1,1,3,2,1]
[2,7,5,4,6,8,1,3] => [2,1,3,2]
[8,1,4,7,3,5,6,2] => [1,3,3,1]
[8,3,7,2,4,5,6,1] => [1,2,4,1]
[8,1,4,5,7,3,6,2] => [1,4,2,1]
[6,8,4,5,3,7,2,1] => [2,2,2,1,1]
[7,5,4,6,2,8,3,1] => [1,1,2,2,1,1]
[8,4,6,3,2,7,5,1] => [1,2,1,2,1,1]
[6,8,4,5,3,2,7,1] => [2,2,1,2,1]
[6,7,5,4,2,8,3,1] => [2,1,1,2,1,1]
[5,7,6,4,8,2,3,1] => [2,1,2,2,1]
[5,6,3,4,2,8,7,1] => [2,2,2,1,1]
[7,5,8,2,3,6,4,1] => [1,2,3,1,1]
[7,2,4,6,5,8,1,3] => [1,3,2,2]
[4,6,1,5,3,7,8,2] => [2,2,3,1]
[6,3,5,4,7,8,1,2] => [1,2,3,2]
[2,5,7,4,6,8,1,3] => [3,3,2]
[2,7,8,1,5,3,6,4] => [3,2,2,1]
[6,5,7,1,2,4,3,8] => [1,2,3,2]
[2,5,6,4,1,3,8,7] => [3,1,3,1]
[4,6,1,3,5,7,2,8] => [2,4,2]
[3,4,6,2,5,1,8,7] => [3,2,2,1]
[3,2,7,5,8,1,6,4] => [1,2,2,2,1]
[4,3,6,8,5,2,1,7] => [1,3,1,1,2]
[4,5,3,2,1,8,6,7] => [2,1,1,2,2]
[3,6,5,8,1,7,4,2] => [2,2,2,1,1]
[4,1,6,8,5,2,3,7] => [1,3,1,3]
[4,5,2,8,6,7,1,3] => [2,2,2,2]
[4,5,2,8,6,7,3,1] => [2,2,2,1,1]
[3,5,8,6,2,4,7,1] => [3,1,3,1]
[2,5,1,6,4,8,3,7] => [2,2,2,2]
[3,2,4,5,8,6,1,7] => [1,4,1,2]
[4,5,2,1,3,8,6,7] => [2,1,3,2]
[4,2,3,6,8,5,1,7] => [1,4,1,2]
[4,5,1,3,2,8,6,7] => [2,2,2,2]
[3,4,5,8,6,1,7,2] => [4,1,2,1]
[3,4,5,8,6,1,2,7] => [4,1,3]
[6,8,5,2,4,7,1,3] => [2,1,3,2]
[6,4,1,3,7,8,2,5] => [1,1,4,2]
[4,3,7,8,1,5,6,2] => [1,3,3,1]
[8,3,7,6,1,5,2,4] => [1,2,1,2,2]
[6,3,1,2,5,4,8,7] => [1,1,3,2,1]
[7,3,1,2,5,4,8,6] => [1,1,3,2,1]
[8,2,6,4,1,3,7,5] => [1,2,1,3,1]
[1,5,8,2,4,3,7,6] => [3,2,2,1]
[1,4,8,2,5,3,7,6] => [3,2,2,1]
[6,2,5,3,1,4,8,7] => [1,2,1,3,1]
[5,2,6,3,1,4,8,7] => [1,2,1,3,1]
[3,2,6,4,1,5,8,7] => [1,2,1,3,1]
[3,2,7,4,1,5,8,6] => [1,2,1,3,1]
[4,2,7,3,1,5,8,6] => [1,2,1,3,1]
[6,2,7,3,1,4,8,5] => [1,2,1,3,1]
[8,3,7,4,1,2,6,5] => [1,2,1,3,1]
[4,3,7,8,2,6,5,1] => [1,3,2,1,1]
[3,8,5,1,2,6,7,4] => [2,1,4,1]
[2,4,7,8,3,6,5,1] => [4,2,1,1]
[5,4,7,8,3,6,1,2] => [1,3,2,2]
[6,8,1,3,2,5,7,4] => [2,2,3,1]
[1,4,8,5,7,2,3,6] => [3,2,3]
[1,8,7,3,2,4,5,6] => [2,1,1,4]
[8,6,2,7,3,4,1,5] => [1,1,2,2,2]
[8,6,2,7,3,4,5,1] => [1,1,2,3,1]
[5,6,3,2,8,7,1,4] => [2,1,2,1,2]
[5,1,6,7,8,3,2,4] => [1,4,1,2]
[1,5,6,3,7,2,4,8] => [3,2,3]
[1,5,6,7,4,2,3,8] => [4,1,3]
[5,1,6,7,3,4,2,8] => [1,3,2,2]
[8,6,1,7,3,4,5,2] => [1,1,2,3,1]
[6,8,5,1,7,4,2,3] => [2,1,2,1,2]
[8,4,2,3,5,7,6,1] => [1,1,4,1,1]
[4,8,5,2,3,1,6,7] => [2,1,2,3]
[5,4,8,3,1,2,6,7] => [1,2,1,4]
[8,4,7,3,2,5,6,1] => [1,2,1,3,1]
[6,8,5,1,7,3,4,2] => [2,1,2,2,1]
[6,2,7,3,8,1,4,5] => [1,2,2,3]
[8,4,2,6,7,1,5,3] => [1,1,3,2,1]
[1,7,8,3,6,5,2,4] => [3,2,1,2]
[4,6,7,5,1,8,2,3] => [3,1,2,2]
[3,5,2,6,8,7,4,1] => [2,3,1,1,1]
[7,3,6,8,4,1,2,5] => [1,3,1,3]
[6,4,2,3,7,5,8,1] => [1,1,3,2,1]
[6,3,7,5,1,2,8,4] => [1,2,1,3,1]
[7,2,5,4,8,6,3,1] => [1,2,2,1,1,1]
[6,2,3,8,7,4,5,1] => [1,3,1,2,1]
[7,1,2,8,4,6,5,3] => [1,3,2,1,1]
[3,5,8,1,2,7,6,4] => [3,3,1,1]
[1,4,3,6,8,5,2,7] => [2,3,1,2]
[7,6,2,8,5,3,4,1] => [1,1,2,1,2,1]
[6,8,3,5,4,7,2,1] => [2,2,2,1,1]
[8,2,7,6,4,1,3,5] => [1,2,1,1,3]
[8,3,7,5,1,6,2,4] => [1,2,1,2,2]
[8,5,7,1,4,2,6,3] => [1,2,2,2,1]
[4,8,2,5,6,3,7,1] => [2,3,2,1]
[4,7,1,5,6,3,2,8] => [2,3,1,2]
[4,5,7,1,6,3,8,2] => [3,2,2,1]
[2,7,1,5,6,8,4,3] => [2,4,1,1]
[2,3,1,8,7,4,6,5] => [2,2,1,2,1]
[4,5,7,3,6,1,2,8] => [3,2,3]
[4,5,7,2,6,1,8,3] => [3,2,2,1]
[3,4,5,8,1,6,2,7] => [4,2,2]
[4,6,5,7,2,3,8,1] => [2,2,3,1]
[3,6,7,2,5,8,4,1] => [3,3,1,1]
[5,3,6,7,4,8,1,2] => [1,3,2,2]
[4,2,7,8,3,6,5,1] => [1,3,2,1,1]
[4,2,7,8,5,6,1,3] => [1,3,2,2]
[5,4,3,7,8,1,6,2] => [1,1,3,2,1]
[3,5,7,8,4,2,1,6] => [4,1,1,2]
[4,6,7,3,2,8,1,5] => [3,1,2,2]
[4,6,5,3,7,8,1,2] => [2,1,3,2]
[5,6,2,4,7,8,3,1] => [2,4,1,1]
[5,6,3,2,8,4,7,1] => [2,1,2,2,1]
[5,6,2,8,3,4,7,1] => [2,2,3,1]
[3,7,4,8,1,6,5,2] => [2,2,2,1,1]
[5,2,4,8,6,7,3,1] => [1,3,2,1,1]
[5,2,6,4,8,7,3,1] => [1,2,2,1,1,1]
[2,4,7,8,6,5,1,3] => [4,1,1,2]
[3,4,2,5,8,1,7,6] => [2,3,2,1]
[5,2,6,7,8,1,4,3] => [1,4,2,1]
[3,2,4,7,8,1,6,5] => [1,4,2,1]
[3,6,4,7,1,5,8,2] => [2,2,3,1]
[2,5,3,1,7,8,4,6] => [2,1,3,2]
[4,8,1,6,5,2,3,7] => [2,2,1,3]
[4,5,7,6,2,3,1,8] => [3,1,2,2]
[4,8,2,7,5,3,1,6] => [2,2,1,1,2]
[2,4,7,6,5,1,8,3] => [3,1,1,2,1]
[1,2,4,6,5,8,3,7] => [4,2,2]
[2,8,7,1,6,4,3,5] => [2,1,2,1,2]
[1,3,7,8,6,4,5,2] => [4,1,2,1]
[4,8,5,6,3,1,2,7] => [2,2,1,3]
[5,4,2,3,1,7,8,6] => [1,1,2,3,1]
[2,5,1,7,6,3,4,8] => [2,2,1,3]
[4,3,1,5,2,6,7,8] => [1,1,2,4]
[3,5,2,1,4,7,8,6] => [2,1,4,1]
[6,3,5,1,4,8,7,2] => [1,2,3,1,1]
[6,2,5,1,8,7,4,3] => [1,2,2,1,1,1]
[3,5,8,1,7,4,2,6] => [3,2,1,2]
[5,7,1,2,4,8,3,6] => [2,4,2]
[5,7,8,1,2,3,6,4] => [3,4,1]
[7,5,1,4,3,8,2,6] => [1,1,2,2,2]
[6,7,8,3,5,2,4,1] => [3,2,2,1]
[1,3,7,8,4,2,5,6] => [4,1,3]
[4,7,8,3,6,1,2,5] => [3,2,3]
[4,7,3,2,6,5,8,1] => [2,1,2,2,1]
[5,1,4,3,7,6,8,2] => [1,2,2,2,1]
[5,8,6,1,7,2,3,4] => [2,1,2,3]
[6,1,4,8,2,5,7,3] => [1,3,3,1]
[8,1,7,2,3,4,6,5] => [1,2,4,1]
[4,8,3,7,2,6,5,1] => [2,2,2,1,1]
[5,8,2,6,3,4,7,1] => [2,2,3,1]
[5,1,4,3,8,2,6,7] => [1,2,2,3]
[8,4,7,5,6,2,1,3] => [1,2,2,1,2]
[3,8,6,7,5,2,4,1] => [2,2,1,2,1]
[8,2,5,4,7,3,6,1] => [1,2,2,2,1]
[4,2,8,7,3,6,5,1] => [1,2,1,2,1,1]
[3,7,8,6,1,4,5,2] => [3,1,3,1]
[4,6,7,8,2,1,5,3] => [4,1,2,1]
[4,7,6,3,8,1,5,2] => [2,1,2,2,1]
[2,5,7,4,3,6,8,1] => [3,1,3,1]
[5,2,6,4,3,7,8,1] => [1,2,1,3,1]
[3,7,1,4,8,2,5,6] => [2,3,3]
[3,8,1,4,6,2,5,7] => [2,3,3]
[5,8,4,6,3,2,1,7] => [2,2,1,1,2]
[1,8,3,4,6,2,7,5] => [2,3,2,1]
[2,3,5,6,8,7,1,4] => [5,1,2]
[2,4,5,3,8,7,1,6] => [3,2,1,2]
[1,3,5,2,6,8,7,4] => [3,3,1,1]
[4,7,5,6,2,8,1,3] => [2,2,2,2]
[2,3,5,8,4,7,1,6] => [4,2,2]
[6,7,4,8,5,2,1,3] => [2,2,1,1,2]
[8,7,5,1,6,3,2,4] => [1,1,1,2,1,2]
[7,8,6,2,3,5,1,4] => [2,1,3,2]
[2,8,4,6,7,3,5,1] => [2,3,2,1]
[4,1,6,7,8,2,5,3] => [1,4,2,1]
[8,6,3,4,1,2,7,5] => [1,1,2,3,1]
[2,5,8,4,6,1,3,7] => [3,2,3]
[4,7,8,6,5,1,3,2] => [3,1,1,2,1]
[8,5,7,3,6,2,1,4] => [1,2,2,1,2]
[8,4,6,7,3,5,2,1] => [1,3,2,1,1]
[7,8,4,6,3,5,2,1] => [2,2,2,1,1]
[5,8,4,6,7,3,2,1] => [2,3,1,1,1]
[6,8,4,7,3,5,2,1] => [2,2,2,1,1]
[7,4,5,8,3,6,2,1] => [1,3,2,1,1]
[8,4,7,3,5,6,2,1] => [1,2,3,1,1]
[4,5,8,7,3,2,6,1] => [3,1,1,2,1]
[3,6,4,2,8,1,7,5] => [2,1,2,2,1]
[2,1,6,5,3,4,7,8] => [1,2,1,4]
[4,2,6,5,3,7,8,1] => [1,2,1,3,1]
[6,1,7,3,5,8,4,2] => [1,2,3,1,1]
[5,7,1,3,6,8,4,2] => [2,4,1,1]
[6,7,2,3,5,4,1,8] => [2,3,1,2]
[6,7,8,3,5,4,1,2] => [3,2,1,2]
[5,8,7,3,6,4,1,2] => [2,1,2,1,2]
[2,5,7,3,6,4,1,8] => [3,2,1,2]
[5,2,1,7,8,6,4,3] => [1,1,3,1,1,1]
[4,5,1,7,6,8,3,2] => [2,2,2,1,1]
[8,3,4,7,6,5,1,2] => [1,3,1,1,2]
[8,2,4,7,6,1,5,3] => [1,3,1,2,1]
[8,3,2,4,1,6,7,5] => [1,1,2,3,1]
[6,8,7,4,2,3,1,5] => [2,1,1,2,2]
[3,1,8,7,4,2,5,6] => [1,2,1,1,3]
[3,4,8,6,2,1,7,5] => [3,1,1,2,1]
[8,4,6,2,1,7,3,5] => [1,2,1,2,2]
[2,7,3,1,6,8,4,5] => [2,1,3,2]
[2,4,7,3,1,6,8,5] => [3,1,3,1]
[7,2,4,3,1,8,6,5] => [1,2,1,2,1,1]
[4,3,1,2,7,5,8,6] => [1,1,3,2,1]
[7,4,3,1,2,5,8,6] => [1,1,1,4,1]
[7,3,4,6,2,1,8,5] => [1,3,1,2,1]
[3,8,6,2,1,7,4,5] => [2,1,1,2,2]
[3,1,8,2,4,6,5,7] => [1,2,3,2]
[8,1,7,6,2,5,4,3] => [1,2,1,2,1,1]
[8,5,4,3,7,6,1,2] => [1,1,1,2,1,2]
[4,8,1,3,6,7,5,2] => [2,4,1,1]
[3,5,8,6,1,7,4,2] => [3,1,2,1,1]
[8,1,4,7,5,2,6,3] => [1,3,1,2,1]
[1,4,8,6,7,3,5,2] => [3,2,2,1]
[4,1,6,7,8,5,3,2] => [1,4,1,1,1]
[3,7,8,6,4,1,5,2] => [3,1,1,2,1]
[5,6,7,1,3,4,8,2] => [3,4,1]
[4,6,1,5,7,2,3,8] => [2,3,3]
[6,5,1,2,7,3,4,8] => [1,1,3,3]
[4,2,7,6,3,8,5,1] => [1,2,1,2,1,1]
[5,8,3,7,6,1,2,4] => [2,2,1,3]
[6,8,7,3,5,4,1,2] => [2,1,2,1,2]
[4,5,8,3,7,1,6,2] => [3,2,2,1]
[4,7,2,1,3,5,6,8] => [2,1,5]
[4,7,1,6,5,2,3,8] => [2,2,1,3]
[6,7,2,4,5,1,3,8] => [2,3,3]
[7,1,3,4,2,6,5,8] => [1,3,2,2]
[8,6,2,1,5,3,7,4] => [1,1,1,2,2,1]
[4,8,5,3,2,7,1,6] => [2,1,1,2,2]
[5,4,8,1,3,7,2,6] => [1,2,3,2]
[8,4,5,3,1,7,2,6] => [1,2,1,2,2]
[7,4,5,3,1,8,6,2] => [1,2,1,2,1,1]
[5,6,8,7,2,4,3,1] => [3,1,2,1,1]
[5,7,8,6,4,2,3,1] => [3,1,1,2,1]
[6,8,7,5,1,3,2,4] => [2,1,1,2,2]
[3,8,2,6,7,5,1,4] => [2,3,1,2]
[4,7,6,3,8,2,5,1] => [2,1,2,2,1]
[6,7,4,1,8,2,5,3] => [2,1,2,2,1]
[5,7,6,8,3,2,4,1] => [2,2,1,2,1]
[7,6,4,2,8,1,5,3] => [1,1,1,2,2,1]
[7,3,4,8,6,1,2,5] => [1,3,1,3]
[6,3,4,8,7,1,2,5] => [1,3,1,3]
[7,4,3,8,6,1,2,5] => [1,1,2,1,3]
[1,7,5,3,6,8,2,4] => [2,1,3,2]
[3,6,4,8,7,1,2,5] => [2,2,1,3]
[2,7,4,8,1,6,3,5] => [2,2,2,2]
[5,7,4,6,8,2,3,1] => [2,3,2,1]
[2,6,5,7,8,1,3,4] => [2,3,3]
[4,6,5,7,8,2,3,1] => [2,3,2,1]
[5,3,1,6,7,8,2,4] => [1,1,4,2]
[6,3,1,5,7,8,2,4] => [1,1,4,2]
[7,3,1,5,6,8,2,4] => [1,1,4,2]
[3,4,7,8,6,1,2,5] => [4,1,3]
[2,1,4,7,8,6,3,5] => [1,4,1,2]
[2,1,5,7,6,8,3,4] => [1,3,2,2]
[3,5,7,6,8,1,2,4] => [3,2,3]
[2,4,5,8,1,6,3,7] => [4,2,2]
[3,4,6,8,2,5,7,1] => [4,3,1]
[1,8,7,5,2,6,4,3] => [2,1,1,2,1,1]
[4,3,5,8,1,6,2,7] => [1,3,2,2]
[1,8,4,6,3,2,5,7] => [2,2,1,3]
[1,8,5,6,4,2,3,7] => [2,2,1,3]
[6,7,1,8,2,4,3,5] => [2,2,2,2]
[2,4,5,3,8,1,6,7] => [3,2,3]
[2,6,8,3,7,5,4,1] => [3,2,1,1,1]
[3,5,8,1,6,7,4,2] => [3,3,1,1]
[1,8,7,6,2,4,5,3] => [2,1,1,3,1]
[3,4,2,5,8,1,6,7] => [2,3,3]
[6,4,8,5,7,3,1,2] => [1,2,2,1,2]
[6,2,4,7,1,5,8,3] => [1,3,3,1]
[1,6,4,7,2,5,8,3] => [2,2,3,1]
[2,7,5,1,8,6,3,4] => [2,1,2,1,2]
[6,8,1,3,2,4,7,5] => [2,2,3,1]
[8,5,1,3,4,2,7,6] => [1,1,3,2,1]
[8,3,4,5,1,7,6,2] => [1,3,2,1,1]
[4,7,1,6,5,3,8,2] => [2,2,1,2,1]
[8,2,1,4,5,3,6,7] => [1,1,3,3]
[8,4,1,5,3,6,2,7] => [1,1,2,2,2]
[4,1,5,6,3,7,8,2] => [1,3,3,1]
[5,6,1,7,4,8,3,2] => [2,2,2,1,1]
[1,7,5,6,4,8,2,3] => [2,2,2,2]
[2,4,8,3,5,1,6,7] => [3,2,3]
[2,4,8,5,7,3,1,6] => [3,2,1,2]
[4,3,6,7,1,2,8,5] => [1,3,3,1]
[8,3,1,4,6,2,7,5] => [1,1,3,2,1]
[7,2,5,3,1,6,8,4] => [1,2,1,3,1]
[8,3,6,1,2,7,5,4] => [1,2,3,1,1]
[6,3,1,7,2,8,4,5] => [1,1,2,2,2]
[2,3,5,4,7,8,1,6] => [3,3,2]
[4,3,5,2,7,8,1,6] => [1,2,3,2]
[1,3,6,7,4,8,2,5] => [4,2,2]
[7,2,6,4,5,8,1,3] => [1,2,3,2]
[5,4,2,3,7,8,1,6] => [1,1,4,2]
[2,1,4,7,6,8,3,5] => [1,3,2,2]
[4,1,2,7,6,8,3,5] => [1,3,2,2]
[6,2,1,5,8,7,4,3] => [1,1,3,1,1,1]
[7,2,6,5,4,8,1,3] => [1,2,1,2,2]
[4,5,2,3,7,8,1,6] => [2,4,2]
[3,4,2,5,7,8,1,6] => [2,4,2]
[7,2,5,4,6,8,1,3] => [1,2,3,2]
[5,3,4,2,7,8,1,6] => [1,2,3,2]
[5,3,4,6,1,8,2,7] => [1,3,2,2]
[4,7,8,5,1,2,6,3] => [3,1,3,1]
[2,5,7,4,8,3,1,6] => [3,2,1,2]
[4,1,6,8,7,2,5,3] => [1,3,1,2,1]
[7,3,4,8,6,5,2,1] => [1,3,1,1,1,1]
[4,5,7,1,8,2,6,3] => [3,2,2,1]
[2,3,5,8,4,1,7,6] => [4,1,2,1]
[7,2,4,1,3,8,6,5] => [1,2,3,1,1]
[6,1,3,5,2,8,7,4] => [1,3,2,1,1]
[2,7,1,5,3,8,6,4] => [2,2,2,1,1]
[7,4,6,5,2,3,1,8] => [1,2,1,2,2]
[3,5,7,2,8,4,1,6] => [3,2,1,2]
[2,4,3,8,5,1,7,6] => [2,2,1,2,1]
[7,4,8,2,3,1,6,5] => [1,2,2,2,1]
[7,3,2,1,4,8,6,5] => [1,1,1,3,1,1]
[2,8,3,4,1,7,6,5] => [2,2,2,1,1]
[4,2,7,3,5,1,8,6] => [1,2,2,2,1]
[7,2,6,1,8,4,5,3] => [1,2,2,2,1]
[6,1,7,2,4,8,5,3] => [1,2,3,1,1]
[4,7,6,8,2,5,3,1] => [2,2,2,1,1]
[2,6,7,1,4,5,8,3] => [3,4,1]
[6,3,7,1,8,5,4,2] => [1,2,2,1,1,1]
[7,3,4,6,2,5,8,1] => [1,3,3,1]
[5,7,1,6,8,3,4,2] => [2,3,2,1]
[1,6,7,3,5,8,4,2] => [3,3,1,1]
[8,7,1,6,3,5,2,4] => [1,1,2,2,2]
[8,7,2,3,6,5,1,4] => [1,1,3,1,2]
[2,8,1,5,7,6,4,3] => [2,3,1,1,1]
[8,1,2,5,7,6,4,3] => [1,4,1,1,1]
[8,7,2,6,1,3,5,4] => [1,1,2,3,1]
[8,7,2,6,1,5,3,4] => [1,1,2,2,2]
[7,1,2,5,8,6,4,3] => [1,4,1,1,1]
[7,1,3,8,2,6,4,5] => [1,3,2,2]
[2,5,8,3,6,7,1,4] => [3,3,2]
[2,6,8,5,4,7,1,3] => [3,1,2,2]
[2,4,7,6,1,3,8,5] => [3,1,3,1]
[5,2,6,7,1,4,3,8] => [1,3,2,2]
[2,4,1,5,7,6,3,8] => [2,3,1,2]
[6,2,5,3,4,7,1,8] => [1,2,3,2]
[6,4,8,3,1,5,2,7] => [1,2,1,2,2]
[2,7,3,4,1,5,8,6] => [2,2,3,1]
[7,3,1,6,2,5,8,4] => [1,1,2,3,1]
[1,8,4,3,5,2,6,7] => [2,1,2,3]
[2,5,8,1,6,7,3,4] => [3,3,2]
[4,1,7,2,5,6,3,8] => [1,2,3,2]
[1,7,2,6,5,3,4,8] => [2,2,1,3]
[2,6,1,7,4,3,5,8] => [2,2,1,3]
[4,2,6,8,3,5,1,7] => [1,3,2,2]
[6,2,8,3,4,5,1,7] => [1,2,3,2]
[3,8,2,6,4,5,1,7] => [2,2,2,2]
[2,8,3,4,6,5,1,7] => [2,3,1,2]
[7,1,5,8,2,4,3,6] => [1,3,2,2]
[3,6,1,8,2,5,7,4] => [2,2,3,1]
[7,2,1,8,5,3,6,4] => [1,1,2,1,2,1]
[7,2,4,1,3,5,8,6] => [1,2,4,1]
[7,3,4,6,8,2,1,5] => [1,4,1,2]
[5,1,3,7,2,8,4,6] => [1,3,2,2]
[5,2,4,6,1,7,8,3] => [1,3,3,1]
[3,8,4,6,1,5,7,2] => [2,2,3,1]
[8,7,3,2,5,1,6,4] => [1,1,1,2,2,1]
[3,6,4,1,2,5,8,7] => [2,1,4,1]
[5,2,7,1,4,3,6,8] => [1,2,2,3]
[6,3,1,4,2,5,8,7] => [1,1,2,3,1]
[5,2,3,1,4,6,8,7] => [1,2,4,1]
[4,2,7,1,3,5,8,6] => [1,2,4,1]
[3,5,4,1,6,2,8,7] => [2,1,2,2,1]
[4,5,7,2,8,3,1,6] => [3,2,1,2]
[3,5,1,7,6,2,8,4] => [2,2,1,2,1]
[4,6,7,3,1,8,2,5] => [3,1,2,2]
[8,3,6,2,7,5,4,1] => [1,2,2,1,1,1]
[8,4,2,6,5,3,7,1] => [1,1,2,1,2,1]
[5,4,2,7,1,8,6,3] => [1,1,2,2,1,1]
[4,1,7,6,5,3,2,8] => [1,2,1,1,1,2]
[2,3,6,7,1,8,5,4] => [4,2,1,1]
[3,6,1,2,7,8,5,4] => [2,4,1,1]
[4,5,1,8,7,6,3,2] => [2,2,1,1,1,1]
[8,4,5,2,7,6,3,1] => [1,2,2,1,1,1]
[4,1,3,6,7,5,2,8] => [1,4,1,2]
[3,1,4,5,7,6,2,8] => [1,4,1,2]
[4,5,1,3,6,8,7,2] => [2,4,1,1]
[3,8,5,1,2,4,6,7] => [2,1,5]
[8,5,1,2,4,3,6,7] => [1,1,3,3]
[5,8,4,1,2,3,6,7] => [2,1,5]
[3,5,8,1,4,2,7,6] => [3,2,2,1]
[2,8,5,7,1,4,3,6] => [2,2,2,2]
[4,8,7,5,1,2,3,6] => [2,1,1,4]
[8,1,2,4,6,3,7,5] => [1,4,2,1]
[7,6,1,4,2,3,8,5] => [1,1,2,3,1]
[6,1,2,7,8,4,3,5] => [1,4,1,2]
[7,8,1,2,5,3,4,6] => [2,3,3]
[1,8,4,7,5,2,3,6] => [2,2,1,3]
[8,4,7,2,1,6,3,5] => [1,2,1,2,2]
[4,5,8,2,1,6,7,3] => [3,1,3,1]
[7,4,2,5,3,6,1,8] => [1,1,2,2,2]
[3,1,6,7,5,2,4,8] => [1,3,1,3]
[8,4,2,5,3,6,7,1] => [1,1,2,3,1]
[4,8,1,5,3,6,7,2] => [2,2,3,1]
[4,1,7,5,2,6,3,8] => [1,2,1,2,2]
[5,1,4,6,3,7,8,2] => [1,3,3,1]
[7,1,5,3,6,8,2,4] => [1,2,3,2]
[8,1,5,3,6,7,2,4] => [1,2,3,2]
[3,6,5,2,4,7,8,1] => [2,1,4,1]
[1,7,5,4,6,8,2,3] => [2,1,3,2]
[4,7,8,2,5,6,1,3] => [3,3,2]
[2,8,5,4,6,7,1,3] => [2,1,3,2]
[5,2,8,7,3,1,6,4] => [1,2,1,1,2,1]
[4,5,2,6,1,8,3,7] => [2,2,2,2]
[3,2,4,7,1,6,5,8] => [1,3,2,2]
[7,1,5,6,8,3,4,2] => [1,4,2,1]
[5,1,8,6,7,3,4,2] => [1,2,2,2,1]
[8,4,5,2,6,7,1,3] => [1,2,3,2]
[1,8,6,5,7,4,2,3] => [2,1,2,1,2]
[6,8,5,3,7,4,1,2] => [2,1,2,1,2]
[6,3,2,4,1,7,5,8] => [1,1,2,2,2]
[6,3,2,4,1,5,8,7] => [1,1,2,3,1]
[8,5,3,2,1,7,4,6] => [1,1,1,1,2,2]
[6,8,3,2,4,1,5,7] => [2,1,2,3]
[7,3,2,4,1,5,8,6] => [1,1,2,3,1]
[8,7,3,5,6,4,1,2] => [1,1,3,1,2]
[1,5,8,7,6,4,2,3] => [3,1,1,1,2]
[6,5,2,4,1,7,8,3] => [1,1,2,3,1]
[2,6,1,7,5,4,8,3] => [2,2,1,2,1]
[5,4,3,1,7,2,6,8] => [1,1,1,2,3]
[5,4,8,2,1,3,6,7] => [1,2,1,4]
[7,5,1,3,2,8,4,6] => [1,1,2,2,2]
[1,4,8,3,2,6,5,7] => [3,1,2,2]
[1,8,3,4,2,5,7,6] => [2,2,3,1]
[1,3,8,4,2,7,5,6] => [3,1,2,2]
[7,2,8,3,1,4,5,6] => [1,2,1,4]
[2,8,1,7,4,3,5,6] => [2,2,1,3]
[8,1,3,2,7,5,4,6] => [1,2,2,1,2]
[7,2,4,6,3,1,8,5] => [1,3,1,2,1]
[7,4,3,6,5,1,2,8] => [1,1,2,1,3]
[4,6,1,7,2,5,3,8] => [2,2,2,2]
[7,6,1,8,2,5,4,3] => [1,1,2,2,1,1]
[4,6,1,7,2,5,8,3] => [2,2,3,1]
[8,4,1,6,7,3,5,2] => [1,1,3,2,1]
[4,8,2,3,7,1,5,6] => [2,3,3]
[3,1,7,8,6,5,4,2] => [1,3,1,1,1,1]
[7,4,3,1,5,8,2,6] => [1,1,1,3,2]
[5,8,4,2,1,6,3,7] => [2,1,1,2,2]
[8,6,7,1,2,5,4,3] => [1,2,3,1,1]
[6,7,4,1,2,8,5,3] => [2,1,3,1,1]
[4,6,7,8,2,5,1,3] => [4,2,2]
[7,6,4,1,2,5,3,8] => [1,1,1,3,2]
[5,4,2,8,1,6,3,7] => [1,1,2,2,2]
[4,7,2,1,6,5,3,8] => [2,1,2,1,2]
[7,6,3,8,2,5,4,1] => [1,1,2,2,1,1]
[6,5,7,1,3,2,4,8] => [1,2,2,3]
[8,7,2,6,4,5,3,1] => [1,1,2,2,1,1]
[2,6,1,7,4,5,3,8] => [2,2,2,2]
[6,3,1,7,4,5,2,8] => [1,1,2,2,2]
[3,7,8,6,4,5,2,1] => [3,1,2,1,1]
[7,2,8,4,3,6,1,5] => [1,2,1,2,2]
[2,7,8,6,4,5,1,3] => [3,1,2,2]
[1,6,3,5,8,2,7,4] => [2,3,2,1]
[1,7,5,4,8,6,2,3] => [2,1,2,1,2]
[5,8,3,4,7,6,1,2] => [2,3,1,2]
[1,4,2,8,5,6,7,3] => [2,2,3,1]
[2,4,5,1,8,6,7,3] => [3,2,2,1]
[6,7,3,2,8,5,4,1] => [2,1,2,1,1,1]
[6,8,7,3,2,5,4,1] => [2,1,1,2,1,1]
[7,3,8,6,4,2,5,1] => [1,2,1,1,2,1]
[6,4,2,8,5,7,3,1] => [1,1,2,2,1,1]
[5,6,2,1,7,3,4,8] => [2,1,2,3]
[5,4,3,8,6,1,2,7] => [1,1,2,1,3]
[5,4,2,8,6,7,1,3] => [1,1,2,2,2]
[4,8,6,3,2,7,1,5] => [2,1,1,2,2]
[4,8,5,3,6,1,2,7] => [2,1,2,3]
[4,8,6,3,5,2,1,7] => [2,1,2,1,2]
[5,8,6,3,2,7,1,4] => [2,1,1,2,2]
[5,7,6,3,2,4,8,1] => [2,1,1,3,1]
[5,7,3,2,8,6,4,1] => [2,1,2,1,1,1]
[5,4,3,7,1,8,6,2] => [1,1,2,2,1,1]
[4,6,5,8,2,7,1,3] => [2,2,2,2]
[4,5,1,8,3,7,6,2] => [2,2,2,1,1]
[5,3,1,6,8,4,2,7] => [1,1,3,1,2]
[4,5,1,6,8,2,7,3] => [2,3,2,1]
[4,5,1,7,8,3,2,6] => [2,3,1,2]
[6,2,1,3,8,4,7,5] => [1,1,3,2,1]
[1,6,3,7,2,4,8,5] => [2,2,3,1]
[3,5,8,4,6,1,2,7] => [3,2,3]
[4,3,8,1,5,6,2,7] => [1,2,3,2]
[4,7,2,1,6,3,5,8] => [2,1,2,3]
[3,6,1,5,7,2,4,8] => [2,3,3]
[4,3,7,1,6,2,5,8] => [1,2,2,3]
[4,3,1,6,7,2,5,8] => [1,1,3,3]
[6,3,1,5,7,2,4,8] => [1,1,3,3]
[3,2,6,5,1,4,7,8] => [1,2,1,4]
[4,3,6,2,1,5,7,8] => [1,2,1,4]
[6,1,5,8,4,2,3,7] => [1,3,1,3]
[2,5,1,4,8,6,7,3] => [2,3,2,1]
[2,5,4,1,3,7,6,8] => [2,1,3,2]
[5,2,4,1,3,7,6,8] => [1,2,3,2]
[5,2,1,4,8,6,7,3] => [1,1,3,2,1]
[5,2,1,8,4,6,3,7] => [1,1,2,2,2]
[5,2,1,3,7,4,6,8] => [1,1,3,3]
[8,4,1,2,6,5,7,3] => [1,1,3,2,1]
[4,5,2,1,3,7,6,8] => [2,1,3,2]
[4,7,8,1,5,2,3,6] => [3,2,3]
[5,2,8,1,6,4,3,7] => [1,2,2,1,2]
[5,2,3,1,4,7,6,8] => [1,2,3,2]
[5,4,2,3,1,7,6,8] => [1,1,2,2,2]
[5,4,2,1,3,7,6,8] => [1,1,1,3,2]
[5,3,1,7,4,2,6,8] => [1,1,2,1,3]
[7,3,1,5,8,4,6,2] => [1,1,3,2,1]
[8,4,3,1,5,7,6,2] => [1,1,1,3,1,1]
[6,2,7,4,1,5,8,3] => [1,2,1,3,1]
[7,2,4,6,1,3,8,5] => [1,3,3,1]
[8,2,7,4,1,6,5,3] => [1,2,1,2,1,1]
[2,1,5,4,8,6,3,7] => [1,2,2,1,2]
[5,4,1,2,8,6,3,7] => [1,1,3,1,2]
[5,2,8,4,3,6,1,7] => [1,2,1,2,2]
[3,2,8,4,1,6,5,7] => [1,2,1,2,2]
[3,7,5,4,6,1,8,2] => [2,1,2,2,1]
[3,7,6,4,1,5,8,2] => [2,1,1,3,1]
[3,7,6,4,8,1,5,2] => [2,1,2,2,1]
[8,2,7,6,3,4,1,5] => [1,2,1,2,2]
[4,1,2,8,3,5,7,6] => [1,3,3,1]
[6,5,2,4,1,7,3,8] => [1,1,2,2,2]
[7,1,2,4,8,6,3,5] => [1,4,1,2]
[7,1,8,5,4,6,2,3] => [1,2,1,2,2]
[6,3,5,4,1,2,7,8] => [1,2,1,4]
[7,1,6,5,4,2,8,3] => [1,2,1,1,2,1]
[3,6,1,4,8,2,5,7] => [2,3,3]
[7,2,6,5,1,4,3,8] => [1,2,1,2,2]
[7,1,8,4,2,3,6,5] => [1,2,1,3,1]
[2,1,5,4,7,3,6,8] => [1,2,2,3]
[8,6,3,1,5,4,7,2] => [1,1,1,2,2,1]
[6,2,1,8,3,4,5,7] => [1,1,2,4]
[2,7,6,4,5,1,8,3] => [2,1,2,2,1]
[1,7,5,6,4,3,8,2] => [2,2,1,2,1]
[7,1,5,2,8,4,3,6] => [1,2,2,1,2]
[7,3,4,6,2,5,1,8] => [1,3,2,2]
[5,7,2,3,6,4,1,8] => [2,3,1,2]
[4,6,8,1,7,3,5,2] => [3,2,2,1]
[6,8,2,7,4,1,3,5] => [2,2,1,3]
[8,1,4,5,7,2,6,3] => [1,4,2,1]
[6,8,3,7,1,4,5,2] => [2,2,3,1]
[3,6,8,1,5,7,4,2] => [3,3,1,1]
[3,8,2,6,4,1,5,7] => [2,2,1,3]
[3,8,1,5,7,4,2,6] => [2,3,1,2]
[8,3,7,1,4,5,2,6] => [1,2,3,2]
[8,2,7,1,4,5,3,6] => [1,2,3,2]
[8,1,5,7,2,6,3,4] => [1,3,2,2]
[2,8,3,1,6,7,4,5] => [2,1,3,2]
[4,5,6,8,2,1,7,3] => [4,1,2,1]
[4,5,6,8,1,3,7,2] => [4,3,1]
[4,5,8,3,2,1,7,6] => [3,1,1,2,1]
[4,5,1,3,2,6,7,8] => [2,2,4]
[4,7,3,2,1,6,5,8] => [2,1,1,2,2]
[4,7,8,3,5,1,6,2] => [3,2,2,1]
[4,7,1,3,5,6,2,8] => [2,4,2]
[4,8,3,2,1,6,7,5] => [2,1,1,3,1]
[5,2,8,1,4,6,7,3] => [1,2,4,1]
[5,6,3,7,8,1,4,2] => [2,3,2,1]
[5,7,1,4,3,6,2,8] => [2,2,2,2]
[6,2,3,7,1,5,4,8] => [1,3,2,2]
[6,2,8,1,5,4,7,3] => [1,2,2,2,1]
[6,1,3,4,5,2,7,8] => [1,4,3]
[7,1,3,4,5,6,2,8] => [1,5,2]
[6,4,2,5,3,7,8,1] => [1,1,2,3,1]
[7,2,5,1,3,6,4,8] => [1,2,3,2]
[7,2,5,1,3,8,6,4] => [1,2,3,1,1]
[3,6,2,1,8,7,4,5] => [2,1,2,1,2]
[6,5,2,7,8,4,3,1] => [1,1,3,1,1,1]
[7,5,3,6,4,2,1,8] => [1,1,2,1,1,2]
[1,6,8,7,5,4,2,3] => [3,1,1,1,2]
[1,3,6,7,5,2,4,8] => [4,1,3]
[1,5,2,6,8,7,3,4] => [2,3,1,2]
[6,8,4,1,3,2,7,5] => [2,1,2,2,1]
[6,1,5,2,4,3,7,8] => [1,2,2,3]
[5,3,4,7,2,1,6,8] => [1,3,1,3]
[6,5,8,1,4,7,2,3] => [1,2,3,2]
[8,6,5,3,4,1,7,2] => [1,1,1,2,2,1]
[8,3,6,5,4,1,7,2] => [1,2,1,1,2,1]
[6,7,3,5,4,1,8,2] => [2,2,1,2,1]
[5,4,7,8,6,1,2,3] => [1,3,1,3]
[7,1,2,4,5,3,6,8] => [1,4,3]
[7,2,4,5,8,1,3,6] => [1,4,3]
[4,7,3,1,2,8,6,5] => [2,1,3,1,1]
[4,8,5,7,1,2,3,6] => [2,2,4]
[6,2,5,8,1,3,7,4] => [1,3,3,1]
[2,7,5,1,4,6,8,3] => [2,1,4,1]
[5,8,6,4,3,1,2,7] => [2,1,1,1,3]
[6,2,5,1,7,8,3,4] => [1,2,3,2]
[6,7,4,3,1,2,8,5] => [2,1,1,3,1]
[4,2,3,7,6,1,8,5] => [1,3,1,2,1]
[4,2,6,3,1,5,7,8] => [1,2,1,4]
[7,5,2,3,4,1,8,6] => [1,1,3,2,1]
[1,6,2,3,8,4,7,5] => [2,3,2,1]
[8,2,7,1,3,5,6,4] => [1,2,4,1]
[5,8,2,3,1,4,7,6] => [2,2,3,1]
[5,7,2,1,3,4,6,8] => [2,1,5]
[1,2,8,7,3,5,6,4] => [3,1,3,1]
[1,3,8,5,2,6,4,7] => [3,1,2,2]
[7,1,6,4,3,2,5,8] => [1,2,1,1,3]
[8,4,1,6,3,2,7,5] => [1,1,2,1,2,1]
[4,6,3,2,5,8,7,1] => [2,1,3,1,1]
[1,4,6,3,2,5,7,8] => [3,1,4]
[7,1,6,4,3,2,8,5] => [1,2,1,1,2,1]
[4,6,3,2,7,5,8,1] => [2,1,2,2,1]
[5,8,4,3,2,6,1,7] => [2,1,1,2,2]
[1,3,6,5,2,4,8,7] => [3,1,3,1]
[4,6,3,2,7,1,5,8] => [2,1,2,3]
[1,5,7,4,8,6,2,3] => [3,2,1,2]
[6,1,5,7,3,8,2,4] => [1,3,2,2]
[1,6,5,4,7,8,2,3] => [2,1,3,2]
[7,1,8,3,2,5,6,4] => [1,2,1,3,1]
[7,6,2,3,1,8,5,4] => [1,1,2,2,1,1]
[2,3,5,1,7,8,6,4] => [3,3,1,1]
[2,7,3,4,1,6,8,5] => [2,2,3,1]
[5,3,1,2,7,8,6,4] => [1,1,4,1,1]
[1,2,7,8,6,4,3,5] => [4,1,1,2]
[4,7,8,6,2,1,3,5] => [3,1,1,3]
[8,6,7,1,5,4,2,3] => [1,2,2,1,2]
[3,5,1,7,8,6,2,4] => [2,3,1,2]
[5,2,4,1,7,6,8,3] => [1,2,2,2,1]
[3,1,8,6,7,4,2,5] => [1,2,2,1,2]
[8,5,7,6,2,4,1,3] => [1,2,1,2,2]
[1,7,6,8,5,2,3,4] => [2,2,1,3]
[8,3,5,6,4,7,1,2] => [1,3,2,2]
[8,4,1,3,5,7,6,2] => [1,1,4,1,1]
[8,4,1,5,6,3,7,2] => [1,1,3,2,1]
[5,7,1,3,4,8,6,2] => [2,4,1,1]
[8,5,6,1,3,7,2,4] => [1,2,3,2]
[5,1,3,4,8,7,6,2] => [1,4,1,1,1]
[5,4,3,8,1,7,2,6] => [1,1,2,2,2]
[7,2,4,6,5,1,8,3] => [1,3,1,2,1]
[4,5,7,6,2,1,8,3] => [3,1,1,2,1]
[2,5,7,6,1,8,4,3] => [3,1,2,1,1]
[7,3,1,5,6,8,4,2] => [1,1,4,1,1]
[4,8,7,2,3,1,6,5] => [2,1,2,2,1]
[5,6,8,1,2,4,3,7] => [3,3,2]
[8,1,2,4,3,7,5,6] => [1,3,2,2]
[3,8,4,7,6,1,2,5] => [2,2,1,3]
[1,6,8,5,3,7,2,4] => [3,1,2,2]
[5,6,2,8,3,1,4,7] => [2,2,1,3]
[2,4,5,7,8,3,1,6] => [5,1,2]
[3,5,4,7,1,8,2,6] => [2,2,2,2]
[3,4,6,5,8,1,2,7] => [3,2,3]
[3,2,6,7,5,1,8,4] => [1,3,1,2,1]
[3,4,6,7,5,1,2,8] => [4,1,3]
[2,5,6,7,3,4,1,8] => [4,2,2]
[4,3,5,7,6,1,2,8] => [1,3,1,3]
[4,3,5,7,1,8,2,6] => [1,3,2,2]
[4,3,2,5,8,7,1,6] => [1,1,3,1,2]
[2,5,4,3,8,7,1,6] => [2,1,2,1,2]
[5,2,6,4,1,8,3,7] => [1,2,1,2,2]
[5,2,6,4,7,1,3,8] => [1,2,2,3]
[4,3,2,7,1,8,6,5] => [1,1,2,2,1,1]
[4,6,2,5,7,1,3,8] => [2,3,3]
[2,5,6,7,3,1,8,4] => [4,1,2,1]
[4,5,7,1,3,6,2,8] => [3,3,2]
[5,7,8,3,6,2,4,1] => [3,2,2,1]
[7,2,3,1,6,8,4,5] => [1,2,3,2]
[5,7,8,6,2,1,3,4] => [3,1,1,3]
[4,1,8,2,5,6,3,7] => [1,2,3,2]
[6,2,1,3,7,8,5,4] => [1,1,4,1,1]
[6,2,3,1,5,7,4,8] => [1,2,3,2]
[5,7,8,1,6,2,3,4] => [3,2,3]
[1,5,4,3,8,2,6,7] => [2,1,2,3]
[1,5,4,3,7,2,6,8] => [2,1,2,3]
[1,5,3,8,7,2,6,4] => [2,2,1,2,1]
[1,6,4,2,7,3,8,5] => [2,1,2,2,1]
[1,4,2,5,8,6,3,7] => [2,3,1,2]
[1,6,2,7,5,4,3,8] => [2,2,1,1,2]
[6,4,8,7,1,5,3,2] => [1,2,1,2,1,1]
[4,8,2,1,5,7,3,6] => [2,1,3,2]
[5,2,7,1,6,3,4,8] => [1,2,2,3]
[4,8,2,5,1,6,3,7] => [2,2,2,2]
[5,8,1,2,4,6,3,7] => [2,4,2]
[5,1,7,3,6,4,2,8] => [1,2,2,1,2]
[3,2,7,5,6,1,4,8] => [1,2,2,3]
[3,2,7,1,6,4,5,8] => [1,2,2,3]
[6,3,1,7,5,4,2,8] => [1,1,2,1,1,2]
[6,2,8,7,3,4,5,1] => [1,2,1,3,1]
[7,3,4,8,5,6,2,1] => [1,3,2,1,1]
[7,3,6,8,4,5,2,1] => [1,3,2,1,1]
[5,6,2,8,3,1,7,4] => [2,2,1,2,1]
[6,1,3,4,8,5,2,7] => [1,4,1,2]
[5,7,3,2,4,6,8,1] => [2,1,4,1]
[5,3,1,6,8,2,7,4] => [1,1,3,2,1]
[1,4,7,5,6,2,8,3] => [3,2,2,1]
[4,5,7,8,2,3,6,1] => [4,3,1]
[3,4,5,7,8,2,1,6] => [5,1,2]
[1,3,4,7,2,6,8,5] => [4,3,1]
[1,6,5,2,8,4,3,7] => [2,1,2,1,2]
[6,4,1,2,5,8,7,3] => [1,1,4,1,1]
[7,6,1,2,8,4,5,3] => [1,1,3,2,1]
[3,7,2,8,5,1,6,4] => [2,2,1,2,1]
[3,6,5,7,1,2,8,4] => [2,2,3,1]
[1,8,6,2,5,4,3,7] => [2,1,2,1,2]
[1,3,6,8,4,2,7,5] => [4,1,2,1]
[1,6,5,8,2,7,3,4] => [2,2,2,2]
[1,7,4,8,3,5,6,2] => [2,2,3,1]
[7,5,2,8,3,6,1,4] => [1,1,2,2,2]
[4,6,2,3,8,1,7,5] => [2,3,2,1]
[6,2,8,4,7,3,1,5] => [1,2,2,1,2]
[1,6,7,2,5,3,8,4] => [3,2,2,1]
[1,7,5,6,8,3,2,4] => [2,3,1,2]
[6,4,7,5,1,8,3,2] => [1,2,1,2,1,1]
[5,2,4,8,3,7,6,1] => [1,3,2,1,1]
[7,6,8,3,5,4,1,2] => [1,2,2,1,2]
[5,3,1,4,8,6,2,7] => [1,1,3,1,2]
[8,3,4,1,5,6,2,7] => [1,2,3,2]
[1,3,5,8,4,6,2,7] => [4,2,2]
[5,2,4,8,3,1,6,7] => [1,3,1,3]
[8,7,3,5,4,1,6,2] => [1,1,2,1,2,1]
[8,4,7,5,3,1,6,2] => [1,2,1,1,2,1]
[6,3,8,4,1,7,5,2] => [1,2,1,2,1,1]
[7,4,5,1,8,6,2,3] => [1,2,2,1,2]
[1,5,6,2,8,7,3,4] => [3,2,1,2]
[6,8,3,1,2,7,5,4] => [2,1,3,1,1]
[2,7,8,3,6,4,1,5] => [3,2,1,2]
[3,8,4,7,6,2,1,5] => [2,2,1,1,2]
[8,5,3,7,6,2,1,4] => [1,1,2,1,1,2]
[8,1,5,7,6,3,2,4] => [1,3,1,1,2]
[1,8,6,7,5,3,2,4] => [2,2,1,1,2]
[5,2,8,6,1,7,4,3] => [1,2,1,2,1,1]
[5,8,6,1,2,7,3,4] => [2,1,3,2]
[8,5,3,1,7,6,2,4] => [1,1,1,2,1,2]
[7,3,2,6,1,8,4,5] => [1,1,2,2,2]
[6,2,7,1,3,8,4,5] => [1,2,3,2]
[7,4,8,3,1,6,5,2] => [1,2,1,2,1,1]
[5,8,4,2,7,6,3,1] => [2,1,2,1,1,1]
[5,8,4,2,7,6,1,3] => [2,1,2,1,2]
[4,7,8,1,5,2,6,3] => [3,2,2,1]
[5,4,8,2,3,7,1,6] => [1,2,3,2]
[1,3,4,7,8,6,2,5] => [5,1,2]
[2,6,1,5,8,3,7,4] => [2,3,2,1]
[1,2,4,7,8,3,6,5] => [5,2,1]
[1,3,7,8,2,4,6,5] => [4,3,1]
[2,7,8,1,3,4,6,5] => [3,4,1]
[8,1,6,3,5,4,2,7] => [1,2,2,1,2]
[8,1,2,5,3,6,4,7] => [1,3,2,2]
[7,2,5,3,6,8,4,1] => [1,2,3,1,1]
[2,7,4,6,3,1,5,8] => [2,2,1,3]
[7,2,4,8,6,5,3,1] => [1,3,1,1,1,1]
[8,1,5,3,7,6,2,4] => [1,2,2,1,2]
[2,6,8,1,3,4,7,5] => [3,4,1]
[2,3,5,7,6,1,4,8] => [4,1,3]
[3,6,8,2,5,4,1,7] => [3,2,1,2]
[5,2,3,6,4,7,8,1] => [1,3,3,1]
[6,4,8,7,3,5,1,2] => [1,2,1,2,2]
[6,1,4,2,3,5,7,8] => [1,2,5]
[5,2,6,1,3,8,4,7] => [1,2,3,2]
[4,3,7,6,2,1,5,8] => [1,2,1,1,3]
[5,4,6,1,2,8,3,7] => [1,2,3,2]
[4,5,2,7,8,3,6,1] => [2,3,2,1]
[2,4,5,3,7,1,6,8] => [3,2,3]
[3,2,4,5,7,1,6,8] => [1,4,3]
[6,5,1,8,3,7,4,2] => [1,1,2,2,1,1]
[7,1,4,3,8,6,5,2] => [1,2,2,1,1,1]
[5,7,6,3,8,2,4,1] => [2,1,2,2,1]
[6,1,5,7,2,8,3,4] => [1,3,2,2]
[1,8,2,6,7,4,3,5] => [2,3,1,2]
[2,5,4,8,7,6,1,3] => [2,2,1,1,2]
[7,2,4,1,8,5,3,6] => [1,2,2,1,2]
[1,4,3,5,8,6,2,7] => [2,3,1,2]
[4,2,8,5,6,1,3,7] => [1,2,2,3]
[7,3,2,1,4,6,8,5] => [1,1,1,4,1]
[1,4,3,5,7,2,8,6] => [2,3,2,1]
[3,7,2,1,4,6,8,5] => [2,1,4,1]
[4,7,2,6,1,8,3,5] => [2,2,2,2]
[8,7,3,5,2,1,6,4] => [1,1,2,1,2,1]
[6,8,5,3,2,1,7,4] => [2,1,1,1,2,1]
[6,2,4,1,7,8,3,5] => [1,2,3,2]
[6,7,3,2,1,5,8,4] => [2,1,1,3,1]
[7,5,3,2,1,6,8,4] => [1,1,1,1,3,1]
[8,6,7,3,2,1,5,4] => [1,2,1,1,2,1]
[1,4,8,3,2,6,7,5] => [3,1,3,1]
[3,1,6,4,8,5,7,2] => [1,2,2,2,1]
[8,2,6,1,3,7,4,5] => [1,2,3,2]
[8,7,1,3,4,6,5,2] => [1,1,4,1,1]
[1,7,5,3,6,2,4,8] => [2,1,2,3]
[7,4,6,1,3,5,8,2] => [1,2,4,1]
[8,2,1,5,4,7,3,6] => [1,1,2,2,2]
[6,8,1,3,4,2,5,7] => [2,3,3]
[6,1,3,5,2,4,8,7] => [1,3,3,1]
[6,1,3,5,8,7,2,4] => [1,4,1,2]
[4,2,5,7,8,1,3,6] => [1,4,3]
[1,3,6,2,5,7,4,8] => [3,3,2]
[2,8,4,6,3,5,7,1] => [2,2,3,1]
[4,8,1,3,6,2,5,7] => [2,3,3]
[3,6,8,1,4,7,2,5] => [3,3,2]
[3,6,1,4,7,8,2,5] => [2,4,2]
[4,1,3,6,2,5,7,8] => [1,3,4]
[4,6,8,3,1,2,5,7] => [3,1,4]
[3,8,4,6,1,2,5,7] => [2,2,4]
[2,5,3,6,8,1,4,7] => [2,3,3]
[2,5,7,1,3,6,4,8] => [3,3,2]
[2,8,3,5,7,4,6,1] => [2,3,2,1]
[1,4,7,2,5,3,6,8] => [3,2,3]
[4,5,3,1,2,6,8,7] => [2,1,4,1]
[4,5,1,3,8,2,6,7] => [2,3,3]
[4,1,5,3,2,7,6,8] => [1,2,1,2,2]
[7,3,5,1,4,2,6,8] => [1,2,2,3]
[6,2,1,7,4,3,8,5] => [1,1,2,1,2,1]
[2,4,3,6,7,1,5,8] => [2,3,3]
[7,3,5,2,1,6,4,8] => [1,2,1,2,2]
[4,6,5,2,1,3,7,8] => [2,1,1,4]
[2,5,6,1,4,3,7,8] => [3,2,3]
[6,1,5,3,7,2,4,8] => [1,2,2,3]
[3,6,5,4,1,7,2,8] => [2,1,1,2,2]
[6,8,7,5,4,2,1,3] => [2,1,1,1,1,2]
[1,6,8,7,3,2,4,5] => [3,1,1,3]
[8,7,5,4,6,1,3,2] => [1,1,1,2,2,1]
[1,7,8,2,4,6,3,5] => [3,3,2]
[7,5,4,8,1,3,6,2] => [1,1,2,3,1]
[5,6,1,8,4,3,7,2] => [2,2,1,2,1]
[1,8,2,6,7,5,4,3] => [2,3,1,1,1]
[2,7,5,1,6,8,3,4] => [2,1,3,2]
[4,7,3,6,2,8,5,1] => [2,2,2,1,1]
[8,5,4,2,7,3,6,1] => [1,1,1,2,2,1]
[8,4,3,7,6,2,5,1] => [1,1,2,1,2,1]
[5,1,8,3,4,7,6,2] => [1,2,3,1,1]
[4,1,8,3,5,7,6,2] => [1,2,3,1,1]
[3,8,4,7,6,2,5,1] => [2,2,1,2,1]
[1,8,2,6,7,5,3,4] => [2,3,1,2]
[7,6,1,4,8,3,5,2] => [1,1,3,2,1]
[7,4,3,6,2,8,5,1] => [1,1,2,2,1,1]
[8,5,2,7,4,3,6,1] => [1,1,2,1,2,1]
[8,5,3,6,4,2,7,1] => [1,1,2,1,2,1]
[7,4,2,8,5,3,6,1] => [1,1,2,1,2,1]
[7,3,2,1,6,5,4,8] => [1,1,1,2,1,2]
[7,2,6,1,4,3,5,8] => [1,2,2,3]
[6,2,1,8,5,3,4,7] => [1,1,2,1,3]
[3,8,6,1,2,4,5,7] => [2,1,5]
[2,8,1,6,5,3,4,7] => [2,2,1,3]
[5,3,2,1,8,7,4,6] => [1,1,1,2,1,2]
[1,8,5,3,2,7,4,6] => [2,1,1,2,2]
[1,8,4,7,2,3,5,6] => [2,2,4]
[3,1,8,7,2,5,4,6] => [1,2,1,2,2]
[3,8,1,6,2,5,4,7] => [2,2,2,2]
[3,8,1,4,2,7,6,5] => [2,2,2,1,1]
[3,2,8,1,7,5,4,6] => [1,2,2,1,2]
[7,1,5,6,2,3,4,8] => [1,3,4]
[6,5,1,7,2,3,4,8] => [1,1,2,4]
[1,6,8,2,7,3,4,5] => [3,2,3]
[6,5,1,2,4,7,3,8] => [1,1,4,2]
[7,5,8,2,6,4,3,1] => [1,2,2,1,1,1]
[8,5,2,1,4,7,3,6] => [1,1,1,3,2]
[8,2,5,7,6,3,4,1] => [1,3,1,2,1]
[6,1,5,7,2,3,4,8] => [1,3,4]
[1,6,8,7,3,4,2,5] => [3,1,2,2]
[2,1,5,7,6,3,4,8] => [1,3,1,3]
[2,8,6,5,7,3,4,1] => [2,1,2,2,1]
[2,5,6,3,7,1,4,8] => [3,2,3]
[4,1,3,6,7,8,5,2] => [1,5,1,1]
[4,2,3,6,7,8,5,1] => [1,5,1,1]
[1,6,5,7,3,2,4,8] => [2,2,1,3]
[7,4,1,5,6,8,3,2] => [1,1,4,1,1]
[7,6,4,1,2,8,3,5] => [1,1,1,3,2]
[7,6,4,5,2,8,3,1] => [1,1,2,2,1,1]
[8,3,6,5,7,2,4,1] => [1,2,2,2,1]
[4,1,2,6,7,8,5,3] => [1,5,1,1]
[2,3,6,5,7,1,4,8] => [3,2,3]
[7,6,2,1,4,8,5,3] => [1,1,1,3,1,1]
[3,6,2,4,5,7,8,1] => [2,5,1]
[3,7,8,2,1,4,5,6] => [3,1,4]
[6,3,7,1,8,2,4,5] => [1,2,2,3]
[8,4,7,1,3,5,6,2] => [1,2,4,1]
[4,8,3,5,6,2,1,7] => [2,3,1,2]
[4,8,3,5,6,2,7,1] => [2,3,2,1]
[1,8,6,7,2,4,5,3] => [2,2,3,1]
[5,7,8,1,4,3,6,2] => [3,2,2,1]
[3,7,8,1,5,2,6,4] => [3,2,2,1]
[1,7,8,6,2,4,5,3] => [3,1,3,1]
[7,6,8,5,1,3,4,2] => [1,2,1,3,1]
[3,6,7,1,4,5,8,2] => [3,4,1]
[3,6,8,1,4,5,7,2] => [3,4,1]
[1,8,5,6,3,4,7,2] => [2,2,3,1]
[5,1,4,6,3,7,2,8] => [1,3,2,2]
[1,4,6,5,2,3,7,8] => [3,1,4]
[1,5,4,7,8,3,6,2] => [2,3,2,1]
[2,5,4,7,8,3,6,1] => [2,3,2,1]
[1,4,8,5,7,3,6,2] => [3,2,2,1]
[5,2,4,7,8,3,6,1] => [1,4,2,1]
[5,1,4,7,8,3,6,2] => [1,4,2,1]
[3,8,6,1,2,7,5,4] => [2,1,3,1,1]
[7,1,2,5,6,8,4,3] => [1,5,1,1]
[4,8,1,5,6,2,3,7] => [2,3,3]
[3,6,1,5,8,7,2,4] => [2,3,1,2]
[4,1,8,5,3,7,2,6] => [1,2,1,2,2]
[6,1,4,3,7,2,8,5] => [1,2,2,2,1]
[5,6,4,1,7,3,8,2] => [2,1,2,2,1]
[4,3,7,8,2,5,1,6] => [1,3,2,2]
[7,1,4,6,2,8,5,3] => [1,3,2,1,1]
[3,7,8,5,4,2,1,6] => [3,1,1,1,2]
[7,1,4,5,8,6,3,2] => [1,4,1,1,1]
[1,7,4,5,6,8,3,2] => [2,4,1,1]
[7,2,4,5,6,8,3,1] => [1,5,1,1]
[2,7,4,5,6,8,3,1] => [2,4,1,1]
[5,7,4,3,1,6,8,2] => [2,1,1,3,1]
[5,4,1,6,3,8,2,7] => [1,1,2,2,2]
[2,4,7,8,3,1,6,5] => [4,1,2,1]
[5,4,3,6,8,1,7,2] => [1,1,3,2,1]
[3,4,6,2,5,8,1,7] => [3,3,2]
[3,7,4,5,8,1,6,2] => [2,3,2,1]
[1,4,3,5,6,8,2,7] => [2,4,2]
[1,4,6,5,8,2,7,3] => [3,2,2,1]
[4,6,1,7,3,2,8,5] => [2,2,1,2,1]
[1,7,3,6,4,2,8,5] => [2,2,1,2,1]
[4,7,3,5,1,2,8,6] => [2,2,3,1]
[1,6,4,2,3,5,8,7] => [2,1,4,1]
[4,8,3,5,2,1,6,7] => [2,2,1,3]
[1,6,8,4,7,5,3,2] => [3,2,1,1,1]
[8,7,3,1,5,2,6,4] => [1,1,1,2,2,1]
[8,7,1,5,6,4,2,3] => [1,1,3,1,2]
[8,7,3,6,1,4,5,2] => [1,1,2,3,1]
[8,7,1,4,6,3,5,2] => [1,1,3,2,1]
[8,3,7,1,5,6,4,2] => [1,2,3,1,1]
[8,2,6,7,1,5,4,3] => [1,3,2,1,1]
[6,8,2,1,3,7,5,4] => [2,1,3,1,1]
[8,2,3,6,7,5,4,1] => [1,4,1,1,1]
[8,7,3,6,2,4,5,1] => [1,1,2,3,1]
[2,8,7,1,3,5,4,6] => [2,1,3,2]
[4,7,1,6,8,2,3,5] => [2,3,3]
[4,6,5,8,2,3,7,1] => [2,2,3,1]
[7,1,8,2,4,5,3,6] => [1,2,3,2]
[5,7,8,2,3,4,1,6] => [3,3,2]
[5,2,3,8,7,1,4,6] => [1,3,1,3]
[5,6,1,2,8,7,3,4] => [2,3,1,2]
[6,5,7,2,3,8,1,4] => [1,2,3,2]
[3,7,5,4,6,2,1,8] => [2,1,2,1,2]
[1,4,7,5,3,6,8,2] => [3,1,3,1]
[8,1,7,5,2,6,3,4] => [1,2,1,2,2]
[8,7,1,6,2,4,3,5] => [1,1,2,2,2]
[4,1,8,2,7,6,3,5] => [1,2,2,1,2]
[3,8,5,1,7,6,2,4] => [2,1,2,1,2]
[8,7,1,3,2,6,4,5] => [1,1,2,2,2]
[3,8,5,7,6,2,1,4] => [2,2,1,1,2]
[8,2,7,3,6,4,1,5] => [1,2,2,1,2]
[2,7,6,4,8,3,1,5] => [2,1,2,1,2]
[2,6,3,7,5,8,4,1] => [2,2,2,1,1]
[7,5,1,2,3,8,4,6] => [1,1,4,2]
[8,6,2,1,3,7,4,5] => [1,1,1,3,2]
[2,8,3,5,6,1,7,4] => [2,3,2,1]
[6,8,2,5,3,1,7,4] => [2,2,1,2,1]
[5,1,2,4,7,3,6,8] => [1,4,3]
[4,2,3,6,8,5,7,1] => [1,4,2,1]
[6,1,3,5,2,4,7,8] => [1,3,4]
[4,7,3,2,6,5,1,8] => [2,1,2,1,2]
[4,3,7,8,2,1,6,5] => [1,3,1,2,1]
[4,8,7,2,1,5,6,3] => [2,1,1,3,1]
[7,3,8,2,5,1,6,4] => [1,2,2,2,1]
[4,5,3,8,6,1,2,7] => [2,2,1,3]
[6,3,5,8,4,1,2,7] => [1,3,1,3]
[7,3,8,4,5,1,2,6] => [1,2,2,3]
[4,8,7,5,1,2,6,3] => [2,1,1,3,1]
[7,8,4,6,1,3,5,2] => [2,2,3,1]
[4,8,7,5,1,3,6,2] => [2,1,1,3,1]
[4,5,3,6,8,1,2,7] => [2,3,3]
[7,8,6,2,1,4,3,5] => [2,1,1,2,2]
[7,8,6,3,1,2,5,4] => [2,1,1,3,1]
[7,2,5,4,3,1,6,8] => [1,2,1,1,3]
[3,7,6,4,1,5,2,8] => [2,1,1,2,2]
[8,6,3,1,2,7,5,4] => [1,1,1,3,1,1]
[5,8,3,1,4,7,2,6] => [2,1,3,2]
[7,1,8,5,2,6,4,3] => [1,2,1,2,1,1]
[7,6,4,1,5,8,2,3] => [1,1,1,3,2]
[3,1,2,5,8,7,6,4] => [1,4,1,1,1]
[5,2,8,4,7,1,3,6] => [1,2,2,3]
[7,3,1,2,8,6,5,4] => [1,1,3,1,1,1]
[8,3,7,6,4,1,2,5] => [1,2,1,1,3]
[5,1,6,4,8,3,2,7] => [1,2,2,1,2]
[4,3,8,6,2,1,5,7] => [1,2,1,1,3]
[4,6,8,5,2,3,1,7] => [3,1,2,2]
[6,1,4,5,7,2,8,3] => [1,4,2,1]
[8,7,1,3,2,6,5,4] => [1,1,2,2,1,1]
[8,7,1,3,2,4,5,6] => [1,1,2,4]
[4,1,3,6,5,7,2,8] => [1,3,2,2]
[4,1,3,5,7,2,8,6] => [1,4,2,1]
[5,1,8,2,4,6,3,7] => [1,2,3,2]
[6,8,2,1,4,5,3,7] => [2,1,3,2]
[4,2,7,3,6,8,5,1] => [1,2,3,1,1]
[3,1,5,8,6,7,2,4] => [1,3,2,2]
[6,8,2,1,4,5,7,3] => [2,1,4,1]
[1,5,4,8,7,3,2,6] => [2,2,1,1,2]
[5,2,4,6,7,3,1,8] => [1,4,1,2]
[4,7,1,3,5,8,2,6] => [2,4,2]
[4,3,1,2,6,5,7,8] => [1,1,3,3]
[2,5,1,7,3,6,4,8] => [2,2,2,2]
[2,7,5,1,4,3,8,6] => [2,1,2,2,1]
[3,6,4,1,5,8,2,7] => [2,1,3,2]
[7,2,4,8,3,5,6,1] => [1,3,3,1]
[7,1,2,4,3,6,8,5] => [1,3,3,1]
[7,3,6,1,4,5,8,2] => [1,2,4,1]
[7,1,4,5,8,3,6,2] => [1,4,2,1]
[7,3,6,5,1,2,4,8] => [1,2,1,4]
[7,5,8,1,2,4,3,6] => [1,2,3,2]
[7,1,2,4,3,6,5,8] => [1,3,2,2]
[7,5,8,1,2,4,6,3] => [1,2,4,1]
[3,5,8,1,4,2,6,7] => [3,2,3]
[5,3,4,6,8,7,1,2] => [1,4,1,2]
[3,4,8,5,1,2,6,7] => [3,1,4]
[5,8,3,1,2,6,7,4] => [2,1,4,1]
[5,7,1,6,3,4,8,2] => [2,2,3,1]
[3,5,2,1,6,7,4,8] => [2,1,3,2]
[6,1,5,2,8,7,4,3] => [1,2,2,1,1,1]
[2,6,1,5,8,7,4,3] => [2,3,1,1,1]
[7,4,1,2,6,3,5,8] => [1,1,3,3]
[6,2,5,1,4,3,7,8] => [1,2,2,3]
[6,1,4,7,5,3,2,8] => [1,3,1,1,2]
[4,5,2,1,7,3,6,8] => [2,1,2,3]
[3,1,2,8,4,7,6,5] => [1,3,2,1,1]
[5,4,6,7,1,3,2,8] => [1,3,2,2]
[6,4,1,3,8,5,2,7] => [1,1,3,1,2]
[7,1,4,3,8,5,2,6] => [1,2,2,1,2]
[5,3,1,4,6,7,2,8] => [1,1,4,2]
[6,5,1,3,4,7,2,8] => [1,1,4,2]
[6,5,1,2,4,3,7,8] => [1,1,3,3]
[4,5,1,8,6,3,2,7] => [2,2,1,1,2]
[8,4,6,3,1,2,7,5] => [1,2,1,3,1]
[3,8,6,4,1,5,7,2] => [2,1,1,3,1]
[8,7,1,4,5,2,3,6] => [1,1,3,3]
[3,8,6,4,5,1,7,2] => [2,1,2,2,1]
[3,7,6,4,5,1,2,8] => [2,1,2,3]
[7,4,6,3,1,2,8,5] => [1,2,1,3,1]
[4,6,2,5,7,8,1,3] => [2,4,2]
[4,6,3,5,7,1,2,8] => [2,3,3]
[4,7,3,5,8,6,1,2] => [2,3,1,2]
[4,8,3,5,7,1,6,2] => [2,3,2,1]
[4,8,3,5,6,1,2,7] => [2,3,3]
[4,7,2,5,6,8,1,3] => [2,4,2]
[4,8,2,5,6,7,1,3] => [2,4,2]
[1,4,7,2,6,5,8,3] => [3,2,2,1]
[1,5,7,2,6,4,8,3] => [3,2,2,1]
[7,2,4,6,1,8,3,5] => [1,3,2,2]
[4,5,6,2,1,8,3,7] => [3,1,2,2]
[1,2,7,8,3,5,4,6] => [4,2,2]
[6,1,4,5,8,2,3,7] => [1,4,3]
[1,7,6,2,8,5,4,3] => [2,1,2,1,1,1]
[1,2,7,8,3,4,6,5] => [4,3,1]
[1,7,6,8,3,4,2,5] => [2,2,2,2]
[7,6,2,5,8,4,1,3] => [1,1,3,1,2]
[7,1,4,5,8,3,2,6] => [1,4,1,2]
[3,4,1,7,8,6,5,2] => [2,3,1,1,1]
[2,4,8,6,5,7,1,3] => [3,1,2,2]
[5,1,3,4,8,2,7,6] => [1,4,2,1]
[8,7,3,6,1,4,2,5] => [1,1,2,2,2]
[6,5,1,8,3,4,7,2] => [1,1,2,3,1]
[8,2,1,5,6,4,7,3] => [1,1,3,2,1]
[7,5,6,1,3,4,8,2] => [1,2,4,1]
[5,7,2,4,6,1,8,3] => [2,3,2,1]
[2,1,5,6,3,8,7,4] => [1,3,2,1,1]
[3,2,7,5,8,6,4,1] => [1,2,2,1,1,1]
[2,4,5,3,8,1,7,6] => [3,2,2,1]
[7,2,5,4,3,8,6,1] => [1,2,1,2,1,1]
[8,5,3,1,2,6,7,4] => [1,1,1,4,1]
[7,2,5,1,3,6,8,4] => [1,2,4,1]
[8,4,3,7,1,6,2,5] => [1,1,2,2,2]
[8,4,7,3,1,2,6,5] => [1,2,1,3,1]
[1,8,7,3,5,2,6,4] => [2,1,2,2,1]
[4,8,1,6,2,5,7,3] => [2,2,3,1]
[2,4,8,3,6,5,7,1] => [3,2,2,1]
[4,2,1,8,6,5,7,3] => [1,1,2,1,2,1]
[4,7,8,5,2,1,6,3] => [3,1,1,2,1]
[3,1,8,2,6,5,7,4] => [1,2,2,2,1]
[2,8,3,6,1,5,7,4] => [2,2,3,1]
[2,8,4,7,3,5,1,6] => [2,2,2,2]
[6,2,8,3,5,4,1,7] => [1,2,2,1,2]
[7,3,8,4,6,5,2,1] => [1,2,2,1,1,1]
[2,4,1,8,6,5,7,3] => [2,2,1,2,1]
[3,4,2,8,6,5,7,1] => [2,2,1,2,1]
[1,4,8,2,6,5,7,3] => [3,2,2,1]
[1,3,8,4,6,5,2,7] => [3,2,1,2]
[3,4,8,5,1,6,2,7] => [3,1,2,2]
[4,6,7,8,5,2,1,3] => [4,1,1,2]
[4,7,2,1,8,6,5,3] => [2,1,2,1,1,1]
[5,6,2,8,4,1,7,3] => [2,2,1,2,1]
[5,7,2,4,8,6,1,3] => [2,3,1,2]
[6,7,2,4,8,5,1,3] => [2,3,1,2]
[6,7,3,2,8,5,1,4] => [2,1,2,1,2]
[7,2,3,1,8,6,5,4] => [1,2,2,1,1,1]
[7,2,8,3,5,6,1,4] => [1,2,3,2]
[7,2,3,8,4,6,1,5] => [1,3,2,2]
[1,7,3,4,8,5,2,6] => [2,3,1,2]
[1,7,3,8,5,4,2,6] => [2,2,1,1,2]
[7,2,8,4,5,3,1,6] => [1,2,2,1,2]
[2,8,6,4,3,1,7,5] => [2,1,1,1,2,1]
[1,7,3,4,8,2,5,6] => [2,3,3]
[1,5,8,3,4,6,2,7] => [3,3,2]
[1,3,8,4,2,5,7,6] => [3,1,3,1]
[1,4,7,6,2,3,8,5] => [3,1,3,1]
[1,8,4,6,7,2,3,5] => [2,3,3]
[2,7,4,5,1,8,6,3] => [2,2,2,1,1]
[1,4,2,3,7,8,6,5] => [2,4,1,1]
[6,7,1,2,4,8,3,5] => [2,4,2]
[7,5,6,2,1,8,3,4] => [1,2,1,2,2]
[3,2,4,8,5,6,1,7] => [1,3,2,2]
[3,8,4,6,2,7,1,5] => [2,2,2,2]
[3,1,7,4,5,2,6,8] => [1,2,2,3]
[7,3,4,8,1,2,6,5] => [1,3,3,1]
[6,2,1,5,7,8,4,3] => [1,1,4,1,1]
[5,7,1,6,4,8,3,2] => [2,2,2,1,1]
[3,5,4,1,2,7,8,6] => [2,1,4,1]
[1,5,8,6,7,4,3,2] => [3,2,1,1,1]
[1,3,4,8,6,2,5,7] => [4,1,3]
[1,7,8,4,5,6,3,2] => [3,3,1,1]
[7,3,6,5,4,1,2,8] => [1,2,1,1,3]
[1,2,6,3,5,7,4,8] => [3,3,2]
[4,6,3,7,5,1,2,8] => [2,2,1,3]
[7,4,5,8,1,3,6,2] => [1,3,3,1]
[1,7,8,6,4,2,5,3] => [3,1,1,2,1]
[7,2,5,8,4,6,1,3] => [1,3,2,2]
[3,6,8,7,5,1,4,2] => [3,1,1,2,1]
[3,1,5,7,4,8,2,6] => [1,3,2,2]
[7,2,4,6,1,5,8,3] => [1,3,3,1]
[8,7,1,6,4,2,5,3] => [1,1,2,1,2,1]
[2,6,3,5,1,7,8,4] => [2,2,3,1]
[1,4,3,6,2,5,8,7] => [2,2,3,1]
[1,4,6,3,2,5,8,7] => [3,1,3,1]
[1,3,6,5,8,2,4,7] => [3,2,3]
[1,4,6,3,2,8,5,7] => [3,1,2,2]
[6,8,4,1,5,7,2,3] => [2,1,3,2]
[5,2,6,7,4,1,8,3] => [1,3,1,2,1]
[8,5,6,4,1,7,3,2] => [1,2,1,2,1,1]
[7,8,3,1,6,4,5,2] => [2,1,2,2,1]
[5,8,2,6,3,1,7,4] => [2,2,1,2,1]
[4,5,8,1,6,3,7,2] => [3,2,2,1]
[8,1,4,6,2,5,7,3] => [1,3,3,1]
[4,5,8,1,6,2,7,3] => [3,2,2,1]
[5,2,6,8,1,4,3,7] => [1,3,2,2]
[6,7,3,8,2,1,4,5] => [2,2,1,3]
[2,6,3,7,4,5,8,1] => [2,2,3,1]
[2,7,3,6,4,5,8,1] => [2,2,3,1]
[2,7,3,1,5,8,6,4] => [2,1,3,1,1]
[2,7,3,5,4,1,8,6] => [2,2,1,2,1]
[2,6,3,7,4,1,8,5] => [2,2,1,2,1]
[2,1,4,8,5,3,7,6] => [1,3,1,2,1]
[2,7,3,8,4,1,6,5] => [2,2,1,2,1]
[2,6,3,1,5,4,8,7] => [2,1,2,2,1]
[2,7,3,1,5,4,8,6] => [2,1,2,2,1]
[1,5,8,3,4,7,2,6] => [3,3,2]
[5,3,8,1,4,6,2,7] => [1,2,3,2]
[4,5,8,1,3,6,2,7] => [3,3,2]
[7,4,6,5,2,8,3,1] => [1,2,1,2,1,1]
[4,1,3,8,5,7,6,2] => [1,3,2,1,1]
[4,1,3,7,2,8,6,5] => [1,3,2,1,1]
[4,6,3,1,7,2,8,5] => [2,1,2,2,1]
[7,2,6,3,1,8,5,4] => [1,2,1,2,1,1]
[4,8,7,2,5,3,1,6] => [2,1,2,1,2]
[1,6,3,2,8,7,4,5] => [2,1,2,1,2]
[2,8,1,7,5,4,6,3] => [2,2,1,2,1]
[6,8,3,1,5,7,2,4] => [2,1,3,2]
[7,2,6,1,3,8,5,4] => [1,2,3,1,1]
[3,7,4,2,6,5,8,1] => [2,1,2,2,1]
[7,6,2,1,3,8,5,4] => [1,1,1,3,1,1]
[8,7,3,1,2,5,6,4] => [1,1,1,4,1]
[2,7,3,6,1,8,5,4] => [2,2,2,1,1]
[5,4,8,7,1,3,6,2] => [1,2,1,3,1]
[1,8,6,2,5,7,4,3] => [2,1,3,1,1]
[8,1,3,6,4,2,7,5] => [1,3,1,2,1]
[6,1,8,2,5,7,4,3] => [1,2,3,1,1]
[2,8,5,7,1,6,4,3] => [2,2,2,1,1]
[6,3,1,5,2,8,7,4] => [1,1,2,2,1,1]
[7,6,4,2,5,3,8,1] => [1,1,1,2,2,1]
[7,4,5,1,2,6,8,3] => [1,2,4,1]
[4,7,6,8,5,2,1,3] => [2,2,1,1,2]
[4,7,6,8,5,2,3,1] => [2,2,1,2,1]
[7,4,5,1,2,6,3,8] => [1,2,3,2]
[4,7,5,8,2,6,3,1] => [2,2,2,1,1]
[4,3,1,8,7,6,2,5] => [1,1,2,1,1,2]
[5,4,6,1,8,2,7,3] => [1,2,2,2,1]
[6,4,7,1,5,8,2,3] => [1,2,3,2]
[5,6,4,2,8,1,7,3] => [2,1,2,2,1]
[6,4,3,7,8,1,5,2] => [1,1,3,2,1]
[2,4,6,7,1,5,3,8] => [4,2,2]
[5,4,3,1,8,6,7,2] => [1,1,1,2,2,1]
[5,4,3,6,1,7,8,2] => [1,1,2,3,1]
[3,2,7,5,8,1,4,6] => [1,2,2,3]
[3,2,7,8,5,6,1,4] => [1,3,2,2]
[4,8,3,2,1,7,5,6] => [2,1,1,2,2]
[5,1,2,6,4,7,8,3] => [1,3,3,1]
[1,8,4,5,6,3,2,7] => [2,3,1,2]
[7,4,3,6,1,8,5,2] => [1,1,2,2,1,1]
[4,7,6,1,5,8,2,3] => [2,1,3,2]
[2,4,7,6,3,5,8,1] => [3,1,3,1]
[2,6,7,3,4,5,8,1] => [3,4,1]
[4,7,6,5,1,8,2,3] => [2,1,1,2,2]
[3,7,4,6,5,8,2,1] => [2,2,2,1,1]
[2,1,4,7,8,3,6,5] => [1,4,2,1]
[1,6,5,4,8,7,2,3] => [2,1,2,1,2]
[1,4,6,5,8,7,2,3] => [3,2,1,2]
[8,5,1,7,4,6,3,2] => [1,1,2,2,1,1]
[3,4,8,1,6,7,2,5] => [3,3,2]
[3,6,7,8,4,1,5,2] => [4,1,2,1]
[2,3,7,8,4,6,1,5] => [4,2,2]
[1,3,7,8,4,6,2,5] => [4,2,2]
[3,1,7,8,4,6,2,5] => [1,3,2,2]
[4,3,8,1,6,7,2,5] => [1,2,3,2]
[4,8,7,3,6,1,2,5] => [2,1,2,3]
[5,8,4,3,7,1,2,6] => [2,1,2,3]
[4,1,8,3,7,5,2,6] => [1,2,2,1,2]
[2,4,8,3,6,7,1,5] => [3,3,2]
[1,6,5,8,7,3,2,4] => [2,2,1,1,2]
[5,6,4,8,7,2,1,3] => [2,2,1,1,2]
[7,2,6,8,3,5,1,4] => [1,3,2,2]
[7,2,8,6,5,3,1,4] => [1,2,1,1,1,2]
[4,8,3,7,6,1,2,5] => [2,2,1,3]
[2,8,4,7,1,3,6,5] => [2,2,3,1]
[6,8,3,4,5,2,1,7] => [2,3,1,2]
[3,7,1,4,5,6,2,8] => [2,4,2]
[3,6,1,4,5,2,7,8] => [2,3,3]
[3,8,2,4,5,1,7,6] => [2,3,2,1]
[3,7,2,1,5,6,4,8] => [2,1,3,2]
[3,6,8,1,5,4,7,2] => [3,2,2,1]
[1,7,4,6,3,5,2,8] => [2,2,2,2]
[1,3,6,5,7,2,4,8] => [3,2,3]
[1,7,4,6,2,5,3,8] => [2,2,2,2]
[1,7,2,5,6,4,3,8] => [2,3,1,2]
[1,6,8,5,4,3,7,2] => [3,1,1,2,1]
[2,5,7,8,4,3,1,6] => [4,1,1,2]
[6,5,8,4,2,1,3,7] => [1,2,1,1,3]
[6,8,5,3,2,4,1,7] => [2,1,1,2,2]
[1,6,8,5,3,2,7,4] => [3,1,1,2,1]
[4,6,1,8,7,5,3,2] => [2,2,1,1,1,1]
[1,4,7,8,3,2,6,5] => [4,1,2,1]
[3,8,5,1,2,7,6,4] => [2,1,3,1,1]
[1,3,7,6,8,5,2,4] => [3,2,1,2]
[3,8,1,7,2,4,6,5] => [2,2,3,1]
[6,7,8,3,1,2,5,4] => [3,1,3,1]
[4,3,1,2,7,5,6,8] => [1,1,3,3]
[4,1,7,6,8,5,3,2] => [1,2,2,1,1,1]
[1,7,6,8,5,3,4,2] => [2,2,1,2,1]
[4,1,7,8,6,5,2,3] => [1,3,1,1,2]
[4,3,7,6,5,8,1,2] => [1,2,1,2,2]
[5,4,3,7,6,1,2,8] => [1,1,2,1,3]
[6,2,4,8,3,5,7,1] => [1,3,3,1]
[6,5,1,7,3,2,4,8] => [1,1,2,1,3]
[4,7,8,5,2,3,6,1] => [3,1,3,1]
[4,7,6,1,2,3,8,5] => [2,1,4,1]
[4,3,1,7,8,6,2,5] => [1,1,3,1,2]
[3,1,7,8,6,5,2,4] => [1,3,1,1,2]
[4,5,2,6,7,8,1,3] => [2,4,2]
[3,6,2,1,7,8,4,5] => [2,1,3,2]
[7,3,1,8,5,2,6,4] => [1,1,2,1,2,1]
[7,5,8,4,2,1,3,6] => [1,2,1,1,3]
[5,7,1,8,3,2,4,6] => [2,2,1,3]
[5,3,2,7,8,4,1,6] => [1,1,3,1,2]
[1,7,6,2,3,8,5,4] => [2,1,3,1,1]
[1,5,2,8,7,3,6,4] => [2,2,1,2,1]
[4,5,1,3,7,6,2,8] => [2,3,1,2]
[7,2,3,8,6,4,5,1] => [1,3,1,2,1]
[1,5,4,3,8,6,2,7] => [2,1,2,1,2]
[1,7,4,5,8,2,3,6] => [2,3,3]
[1,3,7,5,8,4,6,2] => [3,2,2,1]
[1,6,2,5,4,3,8,7] => [2,2,1,2,1]
[1,7,4,5,6,2,3,8] => [2,3,3]
[1,7,5,6,4,2,3,8] => [2,2,1,3]
[1,7,6,4,2,3,8,5] => [2,1,1,3,1]
[1,5,6,2,4,3,8,7] => [3,2,2,1]
[1,6,2,5,7,4,3,8] => [2,3,1,2]
[7,8,1,5,3,4,6,2] => [2,2,3,1]
[7,3,5,4,1,6,2,8] => [1,2,1,2,2]
[3,5,7,1,6,4,2,8] => [3,2,1,2]
[3,7,5,6,1,4,2,8] => [2,2,2,2]
[1,7,5,6,3,4,8,2] => [2,2,3,1]
[5,3,1,2,7,8,4,6] => [1,1,4,2]
[5,1,3,7,8,2,6,4] => [1,4,2,1]
[1,6,2,7,8,5,4,3] => [2,3,1,1,1]
[5,8,1,2,7,6,4,3] => [2,3,1,1,1]
[1,6,7,4,5,3,2,8] => [3,2,1,2]
[1,4,7,5,6,3,2,8] => [3,2,1,2]
[7,2,6,3,5,4,1,8] => [1,2,2,1,2]
[7,5,6,2,4,3,1,8] => [1,2,2,1,2]
[1,6,7,3,5,4,2,8] => [3,2,1,2]
[1,4,2,6,7,5,3,8] => [2,3,1,2]
[1,4,5,3,2,8,6,7] => [3,1,2,2]
[1,8,2,4,6,5,3,7] => [2,3,1,2]
[3,2,1,5,4,8,6,7] => [1,1,2,2,2]
[1,3,5,4,2,8,6,7] => [3,1,2,2]
[8,2,7,6,4,3,5,1] => [1,2,1,1,2,1]
[1,8,3,7,4,5,2,6] => [2,2,2,2]
[8,5,7,3,2,6,4,1] => [1,2,1,2,1,1]
[7,5,2,3,6,8,1,4] => [1,1,4,2]
[2,8,7,1,5,3,4,6] => [2,1,2,3]
[8,1,5,2,4,3,6,7] => [1,2,2,3]
[8,6,4,3,1,5,2,7] => [1,1,1,1,2,2]
[7,2,1,6,4,3,8,5] => [1,1,2,1,2,1]
[1,7,2,6,4,3,8,5] => [2,2,1,2,1]
[5,8,2,3,1,7,6,4] => [2,2,2,1,1]
[6,8,2,5,4,1,7,3] => [2,2,1,2,1]
[6,8,2,1,3,7,4,5] => [2,1,3,2]
[5,6,1,3,4,8,2,7] => [2,4,2]
[6,7,1,8,2,4,5,3] => [2,2,3,1]
[6,1,7,8,2,3,5,4] => [1,3,3,1]
[1,4,8,7,2,3,6,5] => [3,1,3,1]
[8,5,6,3,1,4,7,2] => [1,2,1,3,1]
[8,5,1,6,2,4,7,3] => [1,1,2,3,1]
[8,5,6,2,3,7,1,4] => [1,2,3,2]
[1,8,4,6,2,3,7,5] => [2,2,3,1]
[1,8,3,2,6,5,7,4] => [2,1,2,2,1]
[8,4,2,6,5,7,1,3] => [1,1,2,2,2]
[3,8,1,2,6,4,5,7] => [2,3,3]
[4,2,7,8,1,5,3,6] => [1,3,2,2]
[4,1,3,6,5,8,2,7] => [1,3,2,2]
[4,3,7,1,5,8,2,6] => [1,2,3,2]
[2,5,6,8,7,1,3,4] => [4,1,3]
[2,8,1,3,4,6,5,7] => [2,4,2]
[3,8,4,5,7,6,1,2] => [2,3,1,2]
[2,8,3,4,6,1,7,5] => [2,3,2,1]
[6,5,3,4,1,7,2,8] => [1,1,2,2,2]
[1,5,6,4,7,8,2,3] => [3,3,2]
[2,8,4,5,7,6,1,3] => [2,3,1,2]
[1,2,4,8,7,5,6,3] => [4,1,2,1]
[2,5,4,8,6,1,3,7] => [2,2,1,3]
[2,4,7,1,8,6,3,5] => [3,2,1,2]
[1,8,6,5,2,7,4,3] => [2,1,1,2,1,1]
[1,8,6,2,7,4,3,5] => [2,1,2,1,2]
[2,7,3,4,8,6,1,5] => [2,3,1,2]
[7,2,6,4,1,8,5,3] => [1,2,1,2,1,1]
[1,4,8,6,5,3,7,2] => [3,1,1,2,1]
[1,7,2,8,6,5,4,3] => [2,2,1,1,1,1]
[3,4,2,7,5,6,8,1] => [2,2,3,1]
[3,7,4,2,1,6,8,5] => [2,1,1,3,1]
[7,2,4,5,1,8,6,3] => [1,3,2,1,1]
[2,4,1,8,5,3,6,7] => [2,2,1,3]
[6,2,7,4,3,5,1,8] => [1,2,1,2,2]
[7,3,4,8,2,6,5,1] => [1,3,2,1,1]
[6,8,2,3,4,5,7,1] => [2,5,1]
[2,1,7,3,4,6,5,8] => [1,2,3,2]
[5,8,2,7,1,4,6,3] => [2,2,3,1]
[7,3,8,2,4,5,1,6] => [1,2,3,2]
[5,7,2,3,8,6,4,1] => [2,3,1,1,1]
[6,4,1,8,3,7,5,2] => [1,1,2,2,1,1]
[4,5,8,7,3,6,2,1] => [3,1,2,1,1]
[3,5,4,1,7,8,6,2] => [2,1,3,1,1]
[8,5,6,1,7,2,3,4] => [1,2,2,3]
[6,8,7,2,1,5,4,3] => [2,1,1,2,1,1]
[6,7,3,5,4,2,8,1] => [2,2,1,2,1]
[6,5,1,7,3,8,4,2] => [1,1,2,2,1,1]
[6,2,7,5,4,3,8,1] => [1,2,1,1,2,1]
[7,8,6,2,5,4,3,1] => [2,1,2,1,1,1]
[6,1,8,3,7,5,4,2] => [1,2,2,1,1,1]
[6,2,8,3,7,5,4,1] => [1,2,2,1,1,1]
[6,1,2,8,7,5,4,3] => [1,3,1,1,1,1]
[8,1,6,3,7,5,4,2] => [1,2,2,1,1,1]
[8,2,6,5,3,7,4,1] => [1,2,1,2,1,1]
[8,5,1,3,7,6,4,2] => [1,1,3,1,1,1]
[7,8,4,6,5,3,2,1] => [2,2,1,1,1,1]
[2,8,6,3,7,5,4,1] => [2,1,2,1,1,1]
[2,7,5,8,6,4,3,1] => [2,2,1,1,1,1]
[8,3,6,5,4,2,1,7] => [1,2,1,1,1,2]
[2,4,5,1,7,6,8,3] => [3,2,2,1]
[6,2,3,5,7,1,8,4] => [1,4,2,1]
[6,3,4,2,7,1,8,5] => [1,2,2,2,1]
[6,1,3,5,7,2,8,4] => [1,4,2,1]
[5,1,3,6,7,2,8,4] => [1,4,2,1]
[5,1,3,6,7,4,8,2] => [1,4,2,1]
[3,2,4,6,7,1,8,5] => [1,4,2,1]
[2,8,1,5,6,4,3,7] => [2,3,1,2]
[2,6,8,3,4,7,5,1] => [3,3,1,1]
[6,1,5,7,4,3,8,2] => [1,3,1,2,1]
[6,8,3,4,7,5,1,2] => [2,3,1,2]
[6,8,3,7,4,2,5,1] => [2,2,1,2,1]
[6,7,5,1,2,4,8,3] => [2,1,4,1]
[8,2,4,7,5,6,1,3] => [1,3,2,2]
[2,6,7,5,8,4,1,3] => [3,2,1,2]
[1,6,7,5,8,4,2,3] => [3,2,1,2]
[8,3,1,6,5,2,7,4] => [1,1,2,1,2,1]
[7,4,1,6,5,2,8,3] => [1,1,2,1,2,1]
[5,4,8,3,1,6,7,2] => [1,2,1,3,1]
[6,4,2,8,1,5,3,7] => [1,1,2,2,2]
[7,4,2,8,6,5,3,1] => [1,1,2,1,1,1,1]
[6,8,4,7,3,2,5,1] => [2,2,1,2,1]
[5,8,7,3,2,1,6,4] => [2,1,1,1,2,1]
[5,8,7,2,6,4,3,1] => [2,1,2,1,1,1]
[6,8,7,3,5,1,4,2] => [2,1,2,2,1]
[4,2,5,8,6,1,3,7] => [1,3,1,3]
[1,6,4,8,7,3,2,5] => [2,2,1,1,2]
[7,2,5,6,8,3,4,1] => [1,4,2,1]
[6,2,5,7,8,3,1,4] => [1,4,1,2]
[1,6,5,7,8,3,2,4] => [2,3,1,2]
[7,5,3,6,8,2,4,1] => [1,1,3,2,1]
[8,6,7,2,3,5,4,1] => [1,2,3,1,1]
[5,4,8,6,7,3,1,2] => [1,2,2,1,2]
[4,2,7,3,1,6,8,5] => [1,2,1,3,1]
[7,3,6,4,2,1,8,5] => [1,2,1,1,2,1]
[4,8,5,2,7,3,1,6] => [2,1,2,1,2]
[6,4,3,1,8,5,2,7] => [1,1,1,2,1,2]
[7,4,3,1,5,8,6,2] => [1,1,1,3,1,1]
[7,4,8,6,5,3,1,2] => [1,2,1,1,1,2]
[4,8,5,2,6,7,3,1] => [2,1,3,1,1]
[7,3,2,1,8,5,6,4] => [1,1,1,2,2,1]
[1,5,7,2,4,3,8,6] => [3,2,2,1]
[1,2,7,5,8,4,3,6] => [3,2,1,2]
[5,1,3,8,2,7,4,6] => [1,3,2,2]
[5,7,1,3,2,8,4,6] => [2,2,2,2]
[7,1,6,3,2,8,4,5] => [1,2,1,2,2]
[8,1,7,2,3,6,5,4] => [1,2,3,1,1]
[7,1,2,6,4,3,8,5] => [1,3,1,2,1]
[1,4,7,8,3,2,5,6] => [4,1,3]
[8,7,1,3,2,4,6,5] => [1,1,2,3,1]
[8,1,6,3,2,4,7,5] => [1,2,1,3,1]
[1,8,2,7,6,3,5,4] => [2,2,1,2,1]
[8,1,6,3,2,7,4,5] => [1,2,1,2,2]
[8,2,1,7,6,3,4,5] => [1,1,2,1,3]
[6,8,4,3,5,1,2,7] => [2,1,2,3]
[8,7,3,5,4,1,2,6] => [1,1,2,1,3]
[6,3,8,5,7,2,1,4] => [1,2,2,1,2]
[8,7,3,6,4,1,2,5] => [1,1,2,1,3]
[5,2,7,4,6,1,3,8] => [1,2,2,3]
[8,7,2,3,5,1,4,6] => [1,1,3,3]
[7,6,3,4,1,8,2,5] => [1,1,2,2,2]
[6,3,5,2,8,1,4,7] => [1,2,2,3]
[6,4,5,3,1,7,2,8] => [1,2,1,2,2]
[8,7,2,4,3,1,5,6] => [1,1,2,1,3]
[7,6,2,3,1,4,8,5] => [1,1,2,3,1]
[2,8,3,6,5,1,4,7] => [2,2,1,3]
[3,7,4,2,6,5,1,8] => [2,1,2,1,2]
[4,7,6,5,2,3,1,8] => [2,1,1,2,2]
[3,7,6,1,2,5,4,8] => [2,1,3,2]
[2,5,1,3,8,7,6,4] => [2,3,1,1,1]
[2,7,3,4,8,1,5,6] => [2,3,3]
[4,7,6,1,3,8,5,2] => [2,1,3,1,1]
[4,7,6,2,3,1,5,8] => [2,1,2,3]
[5,7,4,2,6,8,3,1] => [2,1,3,1,1]
[5,1,6,4,8,7,2,3] => [1,2,2,1,2]
[2,7,6,4,3,8,1,5] => [2,1,1,2,2]
[4,7,1,5,3,2,8,6] => [2,2,1,2,1]
[4,7,6,1,3,2,8,5] => [2,1,2,2,1]
[2,8,1,3,5,6,4,7] => [2,4,2]
[2,6,3,4,7,8,5,1] => [2,4,1,1]
[7,6,3,1,8,5,2,4] => [1,1,1,2,1,2]
[7,2,1,3,6,8,5,4] => [1,1,4,1,1]
[7,6,3,8,1,5,2,4] => [1,1,2,2,2]
[1,6,4,7,8,5,3,2] => [2,3,1,1,1]
[7,2,5,8,6,1,3,4] => [1,3,1,3]
[5,1,6,4,2,7,8,3] => [1,2,1,3,1]
[6,7,3,8,1,4,2,5] => [2,2,2,2]
[4,1,3,6,2,5,8,7] => [1,3,3,1]
[7,1,4,6,3,2,5,8] => [1,3,1,3]
[2,5,6,4,7,8,1,3] => [3,3,2]
[6,3,5,2,1,7,8,4] => [1,2,1,3,1]
[6,1,5,3,2,7,8,4] => [1,2,1,3,1]
[3,5,2,8,7,4,1,6] => [2,2,1,1,2]
[7,4,1,8,6,3,2,5] => [1,1,2,1,1,2]
[3,7,4,1,5,2,8,6] => [2,1,2,2,1]
[2,7,3,5,1,4,8,6] => [2,2,3,1]
[7,4,5,8,6,2,3,1] => [1,3,1,2,1]
[2,3,4,7,8,5,1,6] => [5,1,2]
[5,2,4,7,8,3,1,6] => [1,4,1,2]
[5,6,1,3,4,8,7,2] => [2,4,1,1]
[5,6,1,3,8,2,7,4] => [2,3,2,1]
[5,1,6,4,7,8,3,2] => [1,2,3,1,1]
[5,3,1,2,6,8,7,4] => [1,1,4,1,1]
[6,4,7,8,1,3,2,5] => [1,3,2,2]
[6,7,2,3,8,4,1,5] => [2,3,1,2]
[6,1,4,7,5,8,3,2] => [1,3,2,1,1]
[6,3,4,8,2,1,5,7] => [1,3,1,3]
[2,7,3,4,8,5,1,6] => [2,3,1,2]
[2,7,8,1,5,4,3,6] => [3,2,1,2]
[1,4,5,6,2,8,7,3] => [4,2,1,1]
[7,3,4,8,1,5,2,6] => [1,3,2,2]
[1,5,2,6,8,7,4,3] => [2,3,1,1,1]
[1,8,3,7,5,2,6,4] => [2,2,1,2,1]
[8,1,3,6,5,2,7,4] => [1,3,1,2,1]
[7,1,3,8,5,2,6,4] => [1,3,1,2,1]
[4,7,1,5,2,6,8,3] => [2,2,3,1]
[7,4,1,5,2,6,8,3] => [1,1,2,3,1]
[3,1,6,7,5,2,8,4] => [1,3,1,2,1]
[8,6,2,4,5,1,7,3] => [1,1,3,2,1]
[8,6,7,5,2,1,4,3] => [1,2,1,1,2,1]
[7,1,4,5,2,6,8,3] => [1,3,3,1]
[4,1,6,2,3,8,7,5] => [1,2,3,1,1]
[3,1,7,4,2,8,5,6] => [1,2,1,2,2]
[3,1,6,4,2,8,7,5] => [1,2,1,2,1,1]
[6,5,1,8,2,3,7,4] => [1,1,2,3,1]
[4,2,1,7,6,3,8,5] => [1,1,2,1,2,1]
[5,3,1,8,7,6,2,4] => [1,1,2,1,1,2]
[4,3,1,6,2,8,7,5] => [1,1,2,2,1,1]
[6,5,3,1,8,7,2,4] => [1,1,1,2,1,2]
[4,1,7,5,2,8,3,6] => [1,2,1,2,2]
[4,1,6,5,2,8,7,3] => [1,2,1,2,1,1]
[4,1,7,6,5,2,8,3] => [1,2,1,1,2,1]
[5,4,2,1,7,3,8,6] => [1,1,1,2,2,1]
[5,4,1,6,2,8,7,3] => [1,1,2,2,1,1]
[7,5,6,4,2,8,3,1] => [1,2,1,2,1,1]
[5,7,4,6,3,2,8,1] => [2,2,1,2,1]
[2,7,3,5,4,1,6,8] => [2,2,1,3]
[6,2,4,5,1,7,3,8] => [1,3,2,2]
[2,3,6,1,5,7,4,8] => [3,3,2]
[5,6,2,3,4,8,7,1] => [2,4,1,1]
[7,5,6,2,3,8,1,4] => [1,2,3,2]
[3,8,5,4,6,1,7,2] => [2,1,2,2,1]
[8,4,1,5,6,2,7,3] => [1,1,3,2,1]
[6,1,4,7,3,2,5,8] => [1,3,1,3]
[8,4,5,3,6,1,7,2] => [1,2,2,2,1]
[5,2,3,1,6,7,4,8] => [1,2,3,2]
[2,8,4,7,3,5,6,1] => [2,2,3,1]
[1,5,4,8,3,2,6,7] => [2,2,1,3]
[1,5,7,6,3,8,2,4] => [3,1,2,2]
[2,6,3,1,7,8,4,5] => [2,1,3,2]
[2,1,7,8,3,5,4,6] => [1,3,2,2]
[1,5,8,6,7,4,2,3] => [3,2,1,2]
[8,7,1,3,5,2,6,4] => [1,1,3,2,1]
[3,7,8,2,5,4,1,6] => [3,2,1,2]
[4,7,6,5,8,1,3,2] => [2,1,2,2,1]
[4,7,8,6,2,1,5,3] => [3,1,1,2,1]
[4,8,6,3,2,1,7,5] => [2,1,1,1,2,1]
[5,1,4,7,6,8,3,2] => [1,3,2,1,1]
[5,6,4,7,1,8,3,2] => [2,2,2,1,1]
[5,3,7,4,6,1,8,2] => [1,2,2,2,1]
[4,1,5,7,8,6,3,2] => [1,4,1,1,1]
[3,6,7,1,5,4,8,2] => [3,2,2,1]
[3,6,4,7,5,8,2,1] => [2,2,2,1,1]
[8,1,7,3,2,4,5,6] => [1,2,1,4]
[1,7,4,5,3,8,2,6] => [2,2,2,2]
[5,6,7,4,1,8,3,2] => [3,1,2,1,1]
[6,5,3,7,8,1,4,2] => [1,1,3,2,1]
[1,5,6,7,3,8,4,2] => [4,2,1,1]
[6,5,7,3,1,8,2,4] => [1,2,1,2,2]
[6,4,7,1,5,2,8,3] => [1,2,2,2,1]
[5,6,7,4,2,1,8,3] => [3,1,1,2,1]
[5,3,4,7,8,2,6,1] => [1,4,2,1]
[4,6,1,8,2,5,3,7] => [2,2,2,2]
[5,8,3,7,4,1,2,6] => [2,2,1,3]
[3,2,6,1,8,5,4,7] => [1,2,2,1,2]
[5,7,3,1,4,2,8,6] => [2,1,2,2,1]
[5,7,3,8,4,2,1,6] => [2,2,1,1,2]
[3,2,8,4,5,1,7,6] => [1,2,2,2,1]
[4,8,1,3,5,2,7,6] => [2,3,2,1]
[4,1,6,8,2,5,3,7] => [1,3,2,2]
[6,1,4,8,2,5,3,7] => [1,3,2,2]
[3,2,7,4,5,1,8,6] => [1,2,2,2,1]
[1,7,4,3,5,8,2,6] => [2,1,3,2]
[7,4,8,5,2,3,6,1] => [1,2,1,3,1]
[7,3,1,8,4,5,2,6] => [1,1,2,2,2]
[7,2,8,5,4,3,1,6] => [1,2,1,1,1,2]
[5,3,7,1,4,6,2,8] => [1,2,3,2]
[2,7,1,5,4,6,3,8] => [2,2,2,2]
[2,3,7,4,8,1,5,6] => [3,2,3]
[4,8,5,2,3,6,7,1] => [2,1,4,1]
[3,4,6,8,2,5,1,7] => [4,2,2]
[3,7,2,5,4,6,8,1] => [2,2,3,1]
[3,8,6,5,7,4,2,1] => [2,1,2,1,1,1]
[1,6,5,2,8,7,4,3] => [2,1,2,1,1,1]
[4,1,7,2,5,8,3,6] => [1,2,3,2]
[3,1,7,5,2,8,6,4] => [1,2,1,2,1,1]
[3,2,5,8,6,1,7,4] => [1,3,1,2,1]
[4,5,1,7,2,8,6,3] => [2,2,2,1,1]
[2,6,3,1,8,7,5,4] => [2,1,2,1,1,1]
[2,8,5,3,6,7,4,1] => [2,1,3,1,1]
[8,3,5,2,6,7,4,1] => [1,2,3,1,1]
[2,8,6,3,4,7,5,1] => [2,1,3,1,1]
[1,8,6,4,7,2,5,3] => [2,1,2,2,1]
[5,4,2,3,8,7,1,6] => [1,1,3,1,2]
[7,3,6,4,1,8,2,5] => [1,2,1,2,2]
[6,4,7,2,5,3,1,8] => [1,2,2,1,2]
[7,1,4,3,6,8,2,5] => [1,2,3,2]
[3,8,6,1,7,5,4,2] => [2,1,2,1,1,1]
[1,8,6,3,5,4,7,2] => [2,1,2,2,1]
[5,4,1,8,6,3,7,2] => [1,1,2,1,2,1]
[6,3,5,4,1,8,7,2] => [1,2,1,2,1,1]
[4,8,6,3,5,1,7,2] => [2,1,2,2,1]
[6,1,2,4,3,8,5,7] => [1,3,2,2]
[6,3,1,5,4,8,7,2] => [1,1,2,2,1,1]
[6,3,5,8,4,1,7,2] => [1,3,1,2,1]
[7,2,1,8,5,4,6,3] => [1,1,2,1,2,1]
[1,6,3,7,5,4,8,2] => [2,2,1,2,1]
[7,1,3,8,5,4,2,6] => [1,3,1,1,2]
[6,8,2,7,3,4,5,1] => [2,2,3,1]
[2,1,6,3,5,4,7,8] => [1,2,2,3]
[4,8,7,3,5,1,6,2] => [2,1,2,2,1]
[5,3,8,7,1,6,2,4] => [1,2,1,2,2]
[5,6,2,4,7,3,1,8] => [2,3,1,2]
[4,1,6,7,2,5,3,8] => [1,3,2,2]
[4,5,1,7,8,2,6,3] => [2,3,2,1]
[3,5,1,7,4,2,8,6] => [2,2,1,2,1]
[4,2,5,7,1,3,8,6] => [1,3,3,1]
[3,4,2,7,6,1,8,5] => [2,2,1,2,1]
[3,4,1,6,2,8,7,5] => [2,2,2,1,1]
[3,5,2,6,1,8,4,7] => [2,2,2,2]
[5,2,6,7,4,3,1,8] => [1,3,1,1,2]
[8,5,1,6,4,3,2,7] => [1,1,2,1,1,2]
[8,6,3,5,2,7,1,4] => [1,1,2,2,2]
[8,4,6,2,1,5,7,3] => [1,2,1,3,1]
[8,5,2,1,6,4,7,3] => [1,1,1,2,2,1]
[1,7,2,8,5,4,6,3] => [2,2,1,2,1]
[6,7,1,4,8,5,3,2] => [2,3,1,1,1]
[7,3,2,8,5,1,4,6] => [1,1,2,1,3]
[4,1,7,3,2,8,5,6] => [1,2,1,2,2]
[8,3,5,2,4,7,1,6] => [1,2,3,2]
[4,3,7,8,6,1,5,2] => [1,3,1,2,1]
[1,2,6,3,7,8,5,4] => [3,3,1,1]
[6,1,3,7,8,5,4,2] => [1,4,1,1,1]
[4,3,5,7,8,2,1,6] => [1,4,1,2]
[3,6,8,5,4,2,1,7] => [3,1,1,1,2]
[8,2,7,6,3,5,1,4] => [1,2,1,2,2]
[1,6,7,3,5,8,2,4] => [3,3,2]
[6,4,1,7,5,8,2,3] => [1,1,2,2,2]
[7,2,5,1,4,3,6,8] => [1,2,2,3]
[4,6,5,2,3,1,7,8] => [2,1,2,3]
[4,5,7,1,3,2,8,6] => [3,2,2,1]
[1,6,5,8,3,4,7,2] => [2,2,3,1]
[5,2,4,7,6,1,3,8] => [1,3,1,3]
[6,1,8,4,7,5,2,3] => [1,2,2,1,2]
[6,5,1,4,3,7,2,8] => [1,1,2,2,2]
[2,6,4,7,5,3,1,8] => [2,2,1,1,2]
[4,6,2,5,7,3,1,8] => [2,3,1,2]
[6,3,4,2,8,7,1,5] => [1,2,2,1,2]
[5,6,3,7,2,8,4,1] => [2,2,2,1,1]
[4,5,1,8,6,2,7,3] => [2,2,1,2,1]
[5,6,1,8,7,2,3,4] => [2,2,1,3]
[4,6,2,8,7,1,3,5] => [2,2,1,3]
[4,2,6,7,8,5,1,3] => [1,4,1,2]
[5,3,8,6,7,1,4,2] => [1,2,2,2,1]
[4,5,1,6,8,7,3,2] => [2,3,1,1,1]
[2,8,3,4,5,6,1,7] => [2,4,2]
[3,8,6,1,5,2,4,7] => [2,1,2,3]
[3,2,8,1,5,6,4,7] => [1,2,3,2]
[5,8,7,3,2,1,4,6] => [2,1,1,1,3]
[3,4,7,6,8,2,1,5] => [3,2,1,2]
[2,8,1,3,7,5,6,4] => [2,3,2,1]
[1,8,7,2,5,6,4,3] => [2,1,3,1,1]
[2,3,6,4,7,8,1,5] => [3,3,2]
[2,3,7,4,5,8,1,6] => [3,3,2]
[3,4,7,1,5,8,2,6] => [3,3,2]
[4,2,7,1,5,8,3,6] => [1,2,3,2]
[2,4,6,3,5,1,7,8] => [3,2,3]
[4,1,6,2,5,8,3,7] => [1,2,3,2]
[1,8,2,5,7,3,4,6] => [2,3,3]
[1,4,6,3,8,5,2,7] => [3,2,1,2]
[4,5,6,3,1,7,2,8] => [3,1,2,2]
[3,4,6,2,5,1,7,8] => [3,2,3]
[1,4,7,5,2,3,6,8] => [3,1,4]
[1,4,6,5,8,2,3,7] => [3,2,3]
[1,4,8,3,7,6,2,5] => [3,2,1,2]
[1,4,5,3,7,2,6,8] => [3,2,3]
[3,5,7,2,1,8,4,6] => [3,1,2,2]
[2,5,7,3,8,6,1,4] => [3,2,1,2]
[2,4,7,8,3,6,1,5] => [4,2,2]
[2,5,7,6,8,3,4,1] => [3,2,2,1]
[2,5,7,6,8,3,1,4] => [3,2,1,2]
[2,8,6,7,1,3,4,5] => [2,2,4]
[6,3,4,8,5,2,1,7] => [1,3,1,1,2]
[2,3,5,4,8,1,6,7] => [3,2,3]
[8,3,6,5,4,7,1,2] => [1,2,1,2,2]
[1,6,8,3,5,4,7,2] => [3,2,2,1]
[6,7,1,3,5,4,8,2] => [2,3,2,1]
[5,6,8,2,7,1,3,4] => [3,2,3]
[6,7,1,5,4,8,3,2] => [2,2,2,1,1]
[6,5,4,7,1,8,3,2] => [1,1,2,2,1,1]
[8,3,1,6,5,4,7,2] => [1,1,2,1,2,1]
[3,1,6,7,2,8,5,4] => [1,3,2,1,1]
[1,6,8,5,3,4,7,2] => [3,1,3,1]
[1,5,3,6,8,4,7,2] => [2,3,2,1]
[8,3,6,4,7,1,5,2] => [1,2,2,2,1]
[6,5,1,3,8,4,7,2] => [1,1,3,2,1]
[5,1,3,6,8,4,7,2] => [1,4,2,1]
[3,8,4,6,5,1,7,2] => [2,2,1,2,1]
[7,3,1,2,6,8,5,4] => [1,1,4,1,1]
[1,7,4,8,5,3,2,6] => [2,2,1,1,2]
[7,3,1,6,8,4,5,2] => [1,1,3,2,1]
[6,8,4,5,1,7,3,2] => [2,2,2,1,1]
[8,4,5,1,6,7,3,2] => [1,2,3,1,1]
[8,5,1,4,6,7,3,2] => [1,1,4,1,1]
[7,4,8,5,3,1,2,6] => [1,2,1,1,3]
[3,4,7,5,6,8,2,1] => [3,3,1,1]
[3,4,7,8,5,2,6,1] => [4,1,2,1]
[4,5,8,6,1,7,2,3] => [3,1,2,2]
[2,5,8,6,3,7,4,1] => [3,1,2,1,1]
[3,4,7,2,8,6,5,1] => [3,2,1,1,1]
[2,8,1,5,7,4,3,6] => [2,3,1,2]
[2,3,8,4,7,5,1,6] => [3,2,1,2]
[7,4,1,2,5,3,6,8] => [1,1,3,3]
[4,1,3,5,2,8,6,7] => [1,3,2,2]
[4,3,7,5,1,2,6,8] => [1,2,1,4]
[4,5,3,1,6,2,7,8] => [2,1,2,3]
[7,4,2,1,5,3,6,8] => [1,1,1,2,3]
[6,7,3,5,4,2,1,8] => [2,2,1,1,2]
[3,7,4,2,1,6,5,8] => [2,1,1,2,2]
[6,3,7,5,4,2,1,8] => [1,2,1,1,1,2]
[2,7,3,1,4,6,5,8] => [2,1,3,2]
[4,3,1,8,7,2,6,5] => [1,1,2,1,2,1]
[2,5,3,1,7,6,4,8] => [2,1,2,1,2]
[5,3,1,2,7,6,4,8] => [1,1,3,1,2]
[4,5,1,3,6,2,7,8] => [2,3,3]
[5,6,4,1,3,2,7,8] => [2,1,2,3]
[7,4,2,3,6,5,1,8] => [1,1,3,1,2]
[7,2,4,3,1,5,6,8] => [1,2,1,4]
[6,3,1,4,8,5,7,2] => [1,1,3,2,1]
[6,3,5,4,8,7,1,2] => [1,2,2,1,2]
[2,6,4,3,1,7,5,8] => [2,1,1,2,2]
[4,8,1,7,5,6,3,2] => [2,2,2,1,1]
[1,5,7,2,8,4,6,3] => [3,2,2,1]
[5,8,7,2,3,6,4,1] => [2,1,3,1,1]
[4,6,5,1,2,3,7,8] => [2,1,5]
[1,8,7,5,2,6,3,4] => [2,1,1,2,2]
[1,7,6,3,4,5,8,2] => [2,1,4,1]
[1,8,7,4,5,6,2,3] => [2,1,3,2]
[1,8,7,3,6,4,2,5] => [2,1,2,1,2]
[1,4,7,5,8,2,6,3] => [3,2,2,1]
[1,4,7,2,3,6,5,8] => [3,3,2]
[1,7,2,5,6,3,4,8] => [2,3,3]
[1,2,6,5,8,3,4,7] => [3,2,3]
[1,5,8,2,6,3,4,7] => [3,2,3]
[6,3,5,1,4,2,7,8] => [1,2,2,3]
[6,8,3,2,7,5,1,4] => [2,1,2,1,2]
[7,4,2,1,3,8,6,5] => [1,1,1,3,1,1]
[8,1,6,7,3,5,2,4] => [1,3,2,2]
[7,3,6,8,1,2,5,4] => [1,3,3,1]
[7,3,5,6,8,2,4,1] => [1,4,2,1]
[7,2,6,4,8,1,5,3] => [1,2,2,2,1]
[7,3,2,1,5,8,6,4] => [1,1,1,3,1,1]
[4,1,5,7,2,6,3,8] => [1,3,2,2]
[5,7,2,1,3,6,4,8] => [2,1,3,2]
[6,1,8,7,2,5,3,4] => [1,2,1,2,2]
[7,2,5,8,6,4,3,1] => [1,3,1,1,1,1]
[7,6,3,5,1,4,2,8] => [1,1,2,2,2]
[4,1,5,3,7,6,2,8] => [1,2,2,1,2]
[2,5,4,1,7,6,3,8] => [2,1,2,1,2]
[5,1,6,8,3,2,4,7] => [1,3,1,3]
[2,6,8,7,3,5,4,1] => [3,1,2,1,1]
[2,1,8,6,5,3,4,7] => [1,2,1,1,3]
[2,7,8,6,5,3,4,1] => [3,1,1,2,1]
[3,5,6,7,2,4,1,8] => [4,2,2]
[6,4,7,5,2,3,1,8] => [1,2,1,2,2]
[1,5,6,4,8,3,2,7] => [3,2,1,2]
[2,1,5,6,4,8,3,7] => [1,3,2,2]
[5,1,4,7,8,6,2,3] => [1,4,1,2]
[1,6,7,2,8,5,4,3] => [3,2,1,1,1]
[5,3,2,1,7,8,6,4] => [1,1,1,3,1,1]
[7,4,3,8,6,1,5,2] => [1,1,2,1,2,1]
[4,3,7,1,5,8,6,2] => [1,2,3,1,1]
[8,2,4,5,3,1,7,6] => [1,3,1,2,1]
[1,4,3,2,7,5,8,6] => [2,1,2,2,1]
[4,8,7,2,6,1,3,5] => [2,1,2,3]
[4,5,8,2,1,7,3,6] => [3,1,2,2]
[6,8,4,1,7,3,2,5] => [2,1,2,1,2]
[6,3,1,8,2,7,5,4] => [1,1,2,2,1,1]
[3,8,5,2,1,7,6,4] => [2,1,1,2,1,1]
[2,4,8,7,5,1,6,3] => [3,1,1,2,1]
[6,4,1,3,2,5,7,8] => [1,1,2,4]
[4,1,7,8,3,2,5,6] => [1,3,1,3]
[5,4,7,1,3,6,2,8] => [1,2,3,2]
[1,8,2,4,5,3,6,7] => [2,3,3]
[1,8,2,4,5,3,7,6] => [2,3,2,1]
[3,5,8,6,2,1,7,4] => [3,1,1,2,1]
[2,8,6,1,3,4,7,5] => [2,1,4,1]
[6,5,7,2,3,8,4,1] => [1,2,3,1,1]
[5,6,8,2,7,4,3,1] => [3,2,1,1,1]
[7,6,2,8,4,5,3,1] => [1,1,2,2,1,1]
[5,8,2,1,3,6,4,7] => [2,1,3,2]
[5,8,2,1,7,4,6,3] => [2,1,2,2,1]
[5,7,6,2,8,4,3,1] => [2,1,2,1,1,1]
[7,8,6,2,3,1,5,4] => [2,1,2,2,1]
[2,8,6,1,7,5,4,3] => [2,1,2,1,1,1]
[8,2,4,3,7,1,5,6] => [1,2,2,3]
[1,4,8,5,7,3,2,6] => [3,2,1,2]
[8,2,3,7,1,6,4,5] => [1,3,2,2]
[6,5,1,4,8,7,3,2] => [1,1,3,1,1,1]
[8,5,1,7,3,4,6,2] => [1,1,2,3,1]
[5,1,2,4,7,3,8,6] => [1,4,2,1]
[6,2,5,4,1,7,3,8] => [1,2,1,2,2]
[6,2,8,7,4,1,5,3] => [1,2,1,1,2,1]
[8,4,6,1,5,3,7,2] => [1,2,2,2,1]
[4,1,2,6,5,7,3,8] => [1,3,2,2]
[8,6,5,4,1,7,3,2] => [1,1,1,1,2,1,1]
[5,7,6,3,4,1,8,2] => [2,1,2,2,1]
[5,3,1,6,4,7,8,2] => [1,1,2,3,1]
[1,5,6,2,7,4,8,3] => [3,2,2,1]
[8,3,5,6,4,1,7,2] => [1,3,1,2,1]
[2,1,5,7,3,6,4,8] => [1,3,2,2]
[6,4,5,8,2,1,3,7] => [1,3,1,3]
[7,3,8,2,1,5,4,6] => [1,2,1,2,2]
[1,3,6,2,8,5,7,4] => [3,2,2,1]
[5,3,8,6,1,7,2,4] => [1,2,1,2,2]
[2,5,3,6,8,1,7,4] => [2,3,2,1]
[7,1,5,6,4,8,2,3] => [1,3,2,2]
[1,8,3,6,2,5,7,4] => [2,2,3,1]
[3,1,8,6,2,5,7,4] => [1,2,1,3,1]
[6,4,2,3,1,7,8,5] => [1,1,2,3,1]
[1,8,3,5,2,6,4,7] => [2,2,2,2]
[3,4,6,1,8,5,7,2] => [3,2,2,1]
[2,3,8,7,4,5,1,6] => [3,1,2,2]
[1,8,3,5,7,4,2,6] => [2,3,1,2]
[2,5,8,4,6,7,1,3] => [3,3,2]
[7,1,2,6,4,3,5,8] => [1,3,1,3]
[7,1,2,6,5,3,4,8] => [1,3,1,3]
[3,4,6,2,7,1,8,5] => [3,2,2,1]
[5,4,6,8,3,7,1,2] => [1,3,2,2]
[2,7,4,6,3,5,8,1] => [2,2,3,1]
[7,1,4,6,3,5,8,2] => [1,3,3,1]
[4,3,6,7,2,5,8,1] => [1,3,3,1]
[4,3,6,8,2,5,1,7] => [1,3,2,2]
[4,7,8,6,2,3,5,1] => [3,1,3,1]
[4,8,6,2,3,5,7,1] => [2,1,4,1]
[2,4,8,7,1,5,6,3] => [3,1,3,1]
[3,2,8,6,4,7,5,1] => [1,2,1,2,1,1]
[2,8,4,7,3,1,5,6] => [2,2,1,3]
[2,3,1,4,8,7,5,6] => [2,3,1,2]
[3,1,5,8,2,6,4,7] => [1,3,2,2]
[7,1,2,4,8,6,5,3] => [1,4,1,1,1]
[3,5,4,1,8,7,6,2] => [2,1,2,1,1,1]
[5,2,4,1,8,7,6,3] => [1,2,2,1,1,1]
[5,3,4,1,8,7,6,2] => [1,2,2,1,1,1]
[7,1,3,2,8,6,5,4] => [1,2,2,1,1,1]
[2,5,3,1,8,7,6,4] => [2,1,2,1,1,1]
[4,3,5,1,8,7,6,2] => [1,2,2,1,1,1]
[4,6,1,8,7,2,3,5] => [2,2,1,3]
[2,7,5,6,4,8,1,3] => [2,2,2,2]
[2,7,3,5,6,1,8,4] => [2,3,2,1]
[4,8,2,5,6,1,7,3] => [2,3,2,1]
[3,8,4,7,1,5,6,2] => [2,2,3,1]
[3,6,7,1,5,8,4,2] => [3,3,1,1]
[2,8,3,6,5,7,1,4] => [2,2,2,2]
[4,3,7,1,8,6,2,5] => [1,2,2,1,2]
[3,8,1,6,2,4,7,5] => [2,2,3,1]
[2,5,8,4,1,6,7,3] => [3,1,3,1]
[7,4,3,1,6,5,2,8] => [1,1,1,2,1,2]
[3,5,1,2,6,8,7,4] => [2,4,1,1]
[3,1,2,4,8,7,5,6] => [1,4,1,2]
[1,6,8,4,7,3,5,2] => [3,2,2,1]
[1,6,8,5,4,7,3,2] => [3,1,2,1,1]
[6,8,5,4,7,3,1,2] => [2,1,2,1,2]
[6,8,5,1,4,7,3,2] => [2,1,3,1,1]
[5,6,8,3,1,4,7,2] => [3,1,3,1]
[1,5,6,8,3,4,7,2] => [4,3,1]
[1,3,6,8,5,4,7,2] => [4,1,2,1]
[5,6,7,1,4,8,3,2] => [3,3,1,1]
[5,4,1,2,3,7,8,6] => [1,1,5,1]
[1,6,7,2,5,8,3,4] => [3,3,2]
[7,8,5,6,2,4,3,1] => [2,2,2,1,1]
[5,3,8,6,2,4,1,7] => [1,2,1,2,2]
[2,7,4,6,3,8,1,5] => [2,2,2,2]
[5,4,7,8,6,2,1,3] => [1,3,1,1,2]
[2,7,4,8,3,1,5,6] => [2,2,1,3]
[8,2,1,3,7,4,6,5] => [1,1,3,2,1]
[6,5,8,2,3,4,7,1] => [1,2,4,1]
[7,8,2,3,6,4,5,1] => [2,3,2,1]
[8,1,2,7,5,3,4,6] => [1,3,1,3]
[4,2,8,1,3,7,5,6] => [1,2,3,2]
[7,5,1,8,2,3,4,6] => [1,1,2,4]
[8,2,4,1,3,7,5,6] => [1,2,3,2]
[8,1,6,2,3,7,4,5] => [1,2,3,2]
[7,1,8,2,3,6,4,5] => [1,2,3,2]
[4,2,6,7,5,1,8,3] => [1,3,1,2,1]
[4,7,2,5,3,8,1,6] => [2,2,2,2]
[3,5,7,4,2,8,1,6] => [3,1,2,2]
[2,4,7,6,3,8,1,5] => [3,1,2,2]
[4,6,8,5,1,2,3,7] => [3,1,4]
[4,6,5,7,1,2,3,8] => [2,2,4]
[4,6,5,7,1,3,8,2] => [2,2,3,1]
[3,4,7,6,1,8,2,5] => [3,1,2,2]
[5,8,6,1,4,2,3,7] => [2,1,2,3]
[5,7,2,4,1,6,8,3] => [2,2,3,1]
[8,5,3,4,7,6,1,2] => [1,1,3,1,2]
[8,5,3,4,1,7,6,2] => [1,1,2,2,1,1]
[8,5,3,4,7,1,6,2] => [1,1,3,2,1]
[8,5,2,3,6,4,1,7] => [1,1,3,1,2]
[5,6,2,1,8,7,4,3] => [2,1,2,1,1,1]
[8,5,2,3,4,7,1,6] => [1,1,4,2]
[1,6,5,8,3,2,4,7] => [2,2,1,3]
[8,5,2,1,6,3,4,7] => [1,1,1,2,3]
[7,1,8,5,3,2,4,6] => [1,2,1,1,3]
[8,6,1,3,2,7,5,4] => [1,1,2,2,1,1]
[8,1,7,5,2,4,6,3] => [1,2,1,3,1]
[8,2,7,5,4,1,6,3] => [1,2,1,1,2,1]
[8,6,1,2,7,3,5,4] => [1,1,3,2,1]
[6,2,1,5,7,8,3,4] => [1,1,4,2]
[7,3,1,6,4,8,2,5] => [1,1,2,2,2]
[2,6,1,8,7,4,5,3] => [2,2,1,2,1]
[4,2,8,5,7,1,6,3] => [1,2,2,2,1]
[4,8,5,1,2,6,3,7] => [2,1,3,2]
[6,8,2,5,7,3,4,1] => [2,3,2,1]
[8,6,7,2,4,3,5,1] => [1,2,2,2,1]
[7,2,5,8,4,6,3,1] => [1,3,2,1,1]
[6,8,7,4,5,3,2,1] => [2,1,2,1,1,1]
[5,2,6,7,4,8,3,1] => [1,3,2,1,1]
[2,6,5,8,3,7,4,1] => [2,2,2,1,1]
[4,2,7,8,5,3,6,1] => [1,3,1,2,1]
[3,6,5,7,8,1,4,2] => [2,3,2,1]
[4,5,7,1,8,6,3,2] => [3,2,1,1,1]
[3,7,6,5,4,1,2,8] => [2,1,1,1,3]
[7,6,8,3,1,4,2,5] => [1,2,1,2,2]
[8,5,1,7,3,6,4,2] => [1,1,2,2,1,1]
[2,6,4,7,5,1,3,8] => [2,2,1,3]
[6,5,8,1,7,3,2,4] => [1,2,2,1,2]
[8,3,1,4,6,5,7,2] => [1,1,3,2,1]
[6,4,8,1,5,2,3,7] => [1,2,2,3]
[1,4,7,3,8,6,5,2] => [3,2,1,1,1]
[7,2,4,1,6,3,5,8] => [1,2,2,3]
[5,2,4,1,3,6,8,7] => [1,2,4,1]
[2,6,1,5,3,4,8,7] => [2,2,3,1]
[3,8,7,5,4,2,6,1] => [2,1,1,1,2,1]
[5,7,8,2,3,6,4,1] => [3,3,1,1]
[2,8,7,3,1,4,5,6] => [2,1,1,4]
[5,6,1,2,4,7,8,3] => [2,5,1]
[3,8,6,7,5,4,2,1] => [2,2,1,1,1,1]
[7,8,5,1,4,6,2,3] => [2,1,3,2]
[8,2,7,5,4,6,1,3] => [1,2,1,2,2]
[8,4,7,6,3,1,2,5] => [1,2,1,1,3]
[4,6,7,1,3,2,8,5] => [3,2,2,1]
[6,4,7,5,3,2,8,1] => [1,2,1,1,2,1]
[8,4,6,3,1,5,7,2] => [1,2,1,3,1]
[7,3,1,4,5,6,8,2] => [1,1,5,1]
[7,8,1,2,4,5,3,6] => [2,4,2]
[1,8,5,7,3,2,6,4] => [2,2,1,2,1]
[1,7,5,8,3,2,6,4] => [2,2,1,2,1]
[8,3,2,4,1,6,5,7] => [1,1,2,2,2]
[7,3,2,4,1,8,5,6] => [1,1,2,2,2]
[7,2,4,3,6,1,5,8] => [1,2,2,3]
[6,3,2,4,7,1,5,8] => [1,1,3,3]
[6,7,3,4,2,1,8,5] => [2,2,1,2,1]
[6,4,8,3,1,5,7,2] => [1,2,1,3,1]
[7,4,2,3,5,1,8,6] => [1,1,3,2,1]
[3,1,6,5,2,4,8,7] => [1,2,1,3,1]
[5,2,8,7,6,3,4,1] => [1,2,1,1,2,1]
[3,6,8,7,4,5,1,2] => [3,1,2,2]
[1,6,8,7,4,5,2,3] => [3,1,2,2]
[8,3,5,7,1,4,2,6] => [1,3,2,2]
[4,5,2,8,6,3,1,7] => [2,2,1,1,2]
[5,8,4,2,6,3,1,7] => [2,1,2,1,2]
[2,5,3,8,6,4,1,7] => [2,2,1,1,2]
[7,4,2,8,5,3,1,6] => [1,1,2,1,1,2]
[7,8,3,2,6,4,1,5] => [2,1,2,1,2]
[6,8,3,2,7,4,1,5] => [2,1,2,1,2]
[7,2,8,3,6,4,1,5] => [1,2,2,1,2]
[5,3,8,2,6,4,1,7] => [1,2,2,1,2]
[5,2,3,8,6,4,1,7] => [1,3,1,1,2]
[4,2,5,8,6,3,1,7] => [1,3,1,1,2]
[5,8,3,4,6,2,1,7] => [2,3,1,2]
[5,7,4,1,8,3,6,2] => [2,1,2,2,1]
[6,7,1,5,8,3,2,4] => [2,3,1,2]
[6,8,1,7,3,4,5,2] => [2,2,3,1]
[5,7,3,1,6,4,2,8] => [2,1,2,1,2]
[6,7,1,5,4,3,2,8] => [2,2,1,1,2]
[5,8,4,1,3,2,7,6] => [2,1,2,2,1]
[5,8,4,1,3,2,6,7] => [2,1,2,3]
[5,6,4,3,1,7,2,8] => [2,1,1,2,2]
[4,3,6,5,1,7,2,8] => [1,2,1,2,2]
[5,6,4,3,1,7,8,2] => [2,1,1,3,1]
[5,7,4,1,6,3,8,2] => [2,1,2,2,1]
[5,8,4,1,3,6,2,7] => [2,1,3,2]
[6,8,1,5,3,7,4,2] => [2,2,2,1,1]
[7,8,1,3,4,2,5,6] => [2,3,3]
[6,8,1,4,3,5,2,7] => [2,2,2,2]
[4,7,6,3,1,8,5,2] => [2,1,1,2,1,1]
[5,3,4,7,6,1,8,2] => [1,3,1,2,1]
[4,2,5,3,6,7,1,8] => [1,2,3,2]
[8,2,6,5,3,7,1,4] => [1,2,1,2,2]
[6,2,3,5,1,7,4,8] => [1,3,2,2]
[7,3,8,4,6,1,2,5] => [1,2,2,3]
[8,4,6,2,7,1,5,3] => [1,2,2,2,1]
[1,4,6,3,5,2,8,7] => [3,2,2,1]
[5,4,3,8,6,2,1,7] => [1,1,2,1,1,2]
[5,7,2,1,4,8,3,6] => [2,1,3,2]
[2,7,4,8,3,1,6,5] => [2,2,1,2,1]
[4,5,2,1,6,3,8,7] => [2,1,2,2,1]
[4,5,2,1,6,7,3,8] => [2,1,3,2]
[5,3,8,6,2,4,7,1] => [1,2,1,3,1]
[2,5,1,6,4,3,8,7] => [2,2,1,2,1]
[3,6,2,8,5,7,1,4] => [2,2,2,2]
[4,6,8,1,5,7,2,3] => [3,3,2]
[4,1,2,5,7,6,3,8] => [1,4,1,2]
[4,6,5,8,1,7,3,2] => [2,2,2,1,1]
[2,1,3,6,4,8,7,5] => [1,3,2,1,1]
[4,8,1,2,7,5,6,3] => [2,3,2,1]
[6,4,5,2,7,8,3,1] => [1,2,3,1,1]
[1,6,4,3,8,7,5,2] => [2,1,2,1,1,1]
[8,1,2,3,7,4,6,5] => [1,4,2,1]
[7,4,2,6,5,3,8,1] => [1,1,2,1,2,1]
[8,1,3,6,5,7,2,4] => [1,3,2,2]
[7,3,2,6,5,8,4,1] => [1,1,2,2,1,1]
[2,4,7,3,5,8,1,6] => [3,3,2]
[4,5,1,6,8,7,2,3] => [2,3,1,2]
[3,4,7,2,5,8,6,1] => [3,3,1,1]
[3,2,7,4,5,1,6,8] => [1,2,2,3]
[6,8,3,5,2,4,7,1] => [2,2,3,1]
[7,2,5,3,1,4,6,8] => [1,2,1,4]
[4,3,1,6,5,7,2,8] => [1,1,2,2,2]
[4,2,7,3,5,6,1,8] => [1,2,3,2]
[3,8,7,6,1,5,2,4] => [2,1,1,2,2]
[3,1,5,8,2,4,7,6] => [1,3,3,1]
[1,3,8,6,4,5,7,2] => [3,1,3,1]
[2,5,1,8,6,4,7,3] => [2,2,1,2,1]
[3,1,2,8,5,4,6,7] => [1,3,1,3]
[2,5,8,7,3,1,4,6] => [3,1,1,3]
[7,2,5,3,8,1,6,4] => [1,2,2,2,1]
[5,2,1,6,4,8,7,3] => [1,1,2,2,1,1]
[8,4,2,5,1,7,6,3] => [1,1,2,2,1,1]
[2,7,4,8,5,1,6,3] => [2,2,1,2,1]
[3,8,7,2,6,1,4,5] => [2,1,2,3]
[8,1,5,7,2,3,4,6] => [1,3,4]
[8,4,5,1,6,7,2,3] => [1,2,3,2]
[8,4,7,3,1,5,2,6] => [1,2,1,2,2]
[2,5,1,8,3,6,4,7] => [2,2,2,2]
[5,3,8,1,6,2,7,4] => [1,2,2,2,1]
[5,2,8,7,1,3,6,4] => [1,2,1,3,1]
[4,1,5,8,2,3,7,6] => [1,3,3,1]
[4,8,1,2,6,3,5,7] => [2,3,3]
[8,2,5,4,3,6,1,7] => [1,2,1,2,2]
[2,5,1,4,6,8,3,7] => [2,4,2]
[7,6,1,8,3,4,5,2] => [1,1,2,3,1]
[5,8,4,7,3,2,1,6] => [2,2,1,1,2]
[8,5,4,2,7,3,1,6] => [1,1,1,2,1,2]
[5,6,8,4,2,7,1,3] => [3,1,2,2]
[4,3,8,6,1,2,5,7] => [1,2,1,4]
[4,8,6,5,7,1,3,2] => [2,1,2,2,1]
[7,2,3,5,6,8,4,1] => [1,5,1,1]
[5,8,1,3,4,7,2,6] => [2,4,2]
[4,7,1,8,6,3,2,5] => [2,2,1,1,2]
[8,2,3,7,6,1,4,5] => [1,3,1,3]
[7,2,3,5,6,1,8,4] => [1,4,2,1]
[7,3,4,1,5,6,8,2] => [1,2,4,1]
[8,3,4,2,7,6,1,5] => [1,2,2,1,2]
[8,7,5,6,4,1,3,2] => [1,1,2,1,2,1]
[8,7,4,2,3,6,5,1] => [1,1,1,3,1,1]
[8,4,2,3,7,6,5,1] => [1,1,3,1,1,1]
[7,2,4,5,3,1,6,8] => [1,3,1,3]
[6,3,4,1,7,2,5,8] => [1,2,2,3]
[7,4,2,6,3,5,8,1] => [1,1,2,3,1]
[7,2,4,3,6,8,1,5] => [1,2,3,2]
[4,6,2,8,5,3,1,7] => [2,2,1,1,2]
[6,4,5,8,2,7,1,3] => [1,3,2,2]
[6,5,3,2,1,7,4,8] => [1,1,1,1,2,2]
[7,6,3,1,4,5,8,2] => [1,1,1,4,1]
[7,2,4,1,5,6,8,3] => [1,2,4,1]
[7,2,3,5,6,8,1,4] => [1,5,2]
[1,6,7,3,4,8,2,5] => [3,3,2]
[4,1,3,8,5,7,2,6] => [1,3,2,2]
[3,7,4,6,2,1,8,5] => [2,2,1,2,1]
[3,7,8,1,2,5,4,6] => [3,3,2]
[5,1,3,6,4,7,8,2] => [1,3,3,1]
[5,4,1,7,8,6,2,3] => [1,1,3,1,2]
[5,3,4,7,8,1,6,2] => [1,4,2,1]
[4,3,7,6,5,1,8,2] => [1,2,1,1,2,1]
[2,4,1,7,3,6,5,8] => [2,2,2,2]
[7,6,1,5,3,8,2,4] => [1,1,2,2,2]
[5,1,4,8,2,3,7,6] => [1,3,3,1]
[2,7,4,1,3,5,6,8] => [2,1,5]
[6,7,8,4,5,1,3,2] => [3,2,2,1]
[3,8,5,6,7,1,4,2] => [2,3,2,1]
[7,5,6,1,4,2,3,8] => [1,2,2,3]
[7,1,4,2,3,8,5,6] => [1,2,3,2]
[3,2,8,5,4,1,6,7] => [1,2,1,1,3]
[4,5,7,2,6,8,3,1] => [3,3,1,1]
[1,2,8,3,4,6,5,7] => [3,3,2]
[8,1,2,7,3,5,4,6] => [1,3,2,2]
[5,7,1,2,6,3,4,8] => [2,3,3]
[1,2,7,5,6,3,4,8] => [3,2,3]
[5,1,4,7,2,3,6,8] => [1,3,4]
[4,8,1,2,3,6,5,7] => [2,4,2]
[6,2,3,8,7,1,4,5] => [1,3,1,3]
[8,2,3,6,4,7,5,1] => [1,3,2,1,1]
[7,2,3,6,4,8,1,5] => [1,3,2,2]
[5,2,1,6,4,7,3,8] => [1,1,2,2,2]
[5,4,1,6,2,7,8,3] => [1,1,2,3,1]
[7,1,4,2,5,8,3,6] => [1,2,3,2]
[2,4,5,7,6,1,3,8] => [4,1,3]
[6,3,5,7,4,1,8,2] => [1,3,1,2,1]
[7,5,2,3,8,1,4,6] => [1,1,3,3]
[5,1,3,6,7,8,4,2] => [1,5,1,1]
[7,1,3,5,4,2,8,6] => [1,3,1,2,1]
[7,4,5,2,1,8,3,6] => [1,2,1,2,2]
[6,7,2,3,8,1,5,4] => [2,3,2,1]
[7,6,8,2,4,5,3,1] => [1,2,3,1,1]
[4,2,8,6,5,1,3,7] => [1,2,1,1,3]
[3,8,5,4,7,1,2,6] => [2,1,2,3]
[1,4,8,3,6,2,7,5] => [3,2,2,1]
[6,3,2,4,8,7,1,5] => [1,1,3,1,2]
[8,3,2,7,4,1,5,6] => [1,1,2,1,3]
[7,3,2,6,5,8,1,4] => [1,1,2,2,2]
[3,6,2,5,7,4,8,1] => [2,3,2,1]
[2,7,1,5,8,6,4,3] => [2,3,1,1,1]
[7,2,4,1,6,8,5,3] => [1,2,3,1,1]
[6,4,7,2,3,8,5,1] => [1,2,3,1,1]
[6,1,8,5,7,4,2,3] => [1,2,2,1,2]
[7,1,4,3,6,5,8,2] => [1,2,2,2,1]
[7,1,5,6,3,4,8,2] => [1,3,3,1]
[6,1,8,5,4,7,3,2] => [1,2,1,2,1,1]
[7,6,1,5,4,2,8,3] => [1,1,2,1,2,1]
[5,1,6,8,7,2,4,3] => [1,3,1,2,1]
[4,6,7,5,3,1,8,2] => [3,1,1,2,1]
[5,3,2,6,8,7,4,1] => [1,1,3,1,1,1]
[5,4,6,2,8,7,3,1] => [1,2,2,1,1,1]
[4,5,8,6,7,2,3,1] => [3,2,2,1]
[4,5,7,6,1,2,8,3] => [3,1,3,1]
[4,6,5,7,2,1,8,3] => [2,2,1,2,1]
[1,8,3,4,2,6,5,7] => [2,2,2,2]
[5,2,8,6,3,4,1,7] => [1,2,1,2,2]
[5,2,4,6,7,1,8,3] => [1,4,2,1]
[7,4,8,6,3,5,1,2] => [1,2,1,2,2]
[8,3,4,6,1,5,7,2] => [1,3,3,1]
[8,4,5,6,1,7,2,3] => [1,3,2,2]
[7,1,5,4,2,3,8,6] => [1,2,1,3,1]
[7,2,4,3,6,1,8,5] => [1,2,2,2,1]
[6,2,4,8,5,7,3,1] => [1,3,2,1,1]
[6,2,4,7,3,1,8,5] => [1,3,1,2,1]
[6,1,8,4,2,5,7,3] => [1,2,1,3,1]
[6,2,8,1,4,5,7,3] => [1,2,4,1]
[6,4,8,1,5,2,7,3] => [1,2,2,2,1]
[2,3,4,7,8,6,1,5] => [5,1,2]
[3,4,8,7,5,1,2,6] => [3,1,1,3]
[3,7,6,8,4,1,2,5] => [2,2,1,3]
[5,8,6,4,2,7,3,1] => [2,1,1,2,1,1]
[5,8,3,2,6,7,4,1] => [2,1,3,1,1]
[6,3,7,1,4,2,8,5] => [1,2,2,2,1]
[7,1,2,6,8,4,5,3] => [1,4,2,1]
[8,5,3,1,6,7,2,4] => [1,1,1,3,2]
[3,7,5,1,8,4,2,6] => [2,1,2,1,2]
[8,2,4,6,7,3,1,5] => [1,4,1,2]
[4,8,1,6,7,2,3,5] => [2,3,3]
[4,7,2,1,5,8,3,6] => [2,1,3,2]
[3,8,1,4,5,7,6,2] => [2,4,1,1]
[5,7,2,1,3,4,8,6] => [2,1,4,1]
[5,6,2,3,1,4,8,7] => [2,2,3,1]
[4,7,3,1,5,8,2,6] => [2,1,3,2]
[4,6,3,5,1,8,2,7] => [2,2,2,2]
[5,3,4,6,1,2,8,7] => [1,3,3,1]
[8,7,2,5,3,6,4,1] => [1,1,2,2,1,1]
[8,5,7,6,2,3,4,1] => [1,2,1,3,1]
[7,8,5,2,6,1,4,3] => [2,1,2,2,1]
[3,5,1,4,8,7,6,2] => [2,3,1,1,1]
[7,4,1,8,3,6,5,2] => [1,1,2,2,1,1]
[6,5,3,7,4,8,1,2] => [1,1,2,2,2]
[8,7,5,1,6,2,4,3] => [1,1,1,2,2,1]
[2,7,4,6,8,1,5,3] => [2,3,2,1]
[8,2,4,6,5,1,7,3] => [1,3,1,2,1]
[1,8,4,6,5,2,7,3] => [2,2,1,2,1]
[3,4,6,7,8,2,5,1] => [5,2,1]
[2,5,6,7,3,8,1,4] => [4,2,2]
[1,7,5,4,6,8,3,2] => [2,1,3,1,1]
[5,2,3,7,8,6,1,4] => [1,4,1,2]
[7,2,6,4,8,5,3,1] => [1,2,2,1,1,1]
[2,8,3,4,7,1,6,5] => [2,3,2,1]
[1,2,8,5,7,6,3,4] => [3,2,1,2]
[6,8,2,3,7,4,5,1] => [2,3,2,1]
[5,7,1,4,3,6,8,2] => [2,2,3,1]
[5,8,4,6,2,1,7,3] => [2,2,1,2,1]
[5,7,4,6,2,3,8,1] => [2,2,3,1]
[1,6,8,3,4,2,7,5] => [3,2,2,1]
[1,5,8,4,2,3,7,6] => [3,1,3,1]
[4,1,7,6,2,8,3,5] => [1,2,1,2,2]
[4,1,8,2,7,5,3,6] => [1,2,2,1,2]
[4,1,7,2,8,5,3,6] => [1,2,2,1,2]
[2,5,6,3,7,4,8,1] => [3,2,2,1]
[2,6,5,3,8,4,7,1] => [2,1,2,2,1]
[2,6,5,3,7,4,8,1] => [2,1,2,2,1]
[7,1,6,3,5,4,8,2] => [1,2,2,2,1]
[5,7,3,2,8,4,1,6] => [2,1,2,1,2]
[2,8,6,1,7,5,3,4] => [2,1,2,1,2]
[8,1,5,2,7,4,3,6] => [1,2,2,1,2]
[7,1,4,2,8,5,3,6] => [1,2,2,1,2]
[2,6,8,1,7,5,3,4] => [3,2,1,2]
[1,4,6,5,3,8,2,7] => [3,1,2,2]
[2,4,5,8,7,1,3,6] => [4,1,3]
[3,1,6,8,7,5,4,2] => [1,3,1,1,1,1]
[3,1,8,7,5,6,4,2] => [1,2,1,2,1,1]
[5,1,8,7,6,3,4,2] => [1,2,1,1,2,1]
[8,2,7,5,3,6,4,1] => [1,2,1,2,1,1]
[8,7,2,3,1,5,6,4] => [1,1,2,3,1]
[2,8,5,7,6,1,3,4] => [2,2,1,3]
[1,8,7,2,6,4,5,3] => [2,1,2,2,1]
[8,7,2,1,6,4,5,3] => [1,1,1,2,2,1]
[1,8,4,7,6,2,5,3] => [2,2,1,2,1]
[8,7,1,6,4,3,5,2] => [1,1,2,1,2,1]
[8,4,1,7,3,6,5,2] => [1,1,2,2,1,1]
[5,4,3,1,8,2,6,7] => [1,1,1,2,3]
[1,3,5,8,4,2,6,7] => [4,1,3]
[4,3,8,1,7,5,2,6] => [1,2,2,1,2]
[3,7,8,2,1,5,6,4] => [3,1,3,1]
[3,7,1,4,6,2,5,8] => [2,3,3]
[8,2,5,7,1,6,4,3] => [1,3,2,1,1]
[8,3,6,2,1,5,4,7] => [1,2,1,2,2]
[1,6,8,2,7,4,3,5] => [3,2,1,2]
[4,7,2,3,6,8,5,1] => [2,4,1,1]
[4,5,2,3,7,8,6,1] => [2,4,1,1]
[4,3,8,6,1,7,5,2] => [1,2,1,2,1,1]
[8,5,2,3,4,7,6,1] => [1,1,4,1,1]
[6,3,8,1,4,5,7,2] => [1,2,4,1]
[6,4,1,7,3,5,2,8] => [1,1,2,2,2]
[6,4,1,7,3,5,8,2] => [1,1,2,3,1]
[4,3,8,5,2,7,6,1] => [1,2,1,2,1,1]
[2,4,6,7,3,5,1,8] => [4,2,2]
[6,5,2,3,4,8,7,1] => [1,1,4,1,1]
[1,7,3,6,8,2,5,4] => [2,3,2,1]
[4,3,7,6,2,5,8,1] => [1,2,1,3,1]
[3,4,5,8,7,2,6,1] => [4,1,2,1]
[4,5,1,8,7,3,6,2] => [2,2,1,2,1]
[6,4,2,5,7,8,1,3] => [1,1,4,2]
[3,8,4,6,2,7,5,1] => [2,2,2,1,1]
[3,8,5,2,6,7,4,1] => [2,1,3,1,1]
[5,4,1,6,7,3,8,2] => [1,1,3,2,1]
[2,6,5,8,3,4,7,1] => [2,2,3,1]
[4,3,8,5,2,6,1,7] => [1,2,1,2,2]
[3,6,5,4,1,8,2,7] => [2,1,1,2,2]
[3,6,4,7,5,2,1,8] => [2,2,1,1,2]
[8,5,4,7,3,1,6,2] => [1,1,2,1,2,1]
[2,8,4,5,3,1,7,6] => [2,2,1,2,1]
[7,2,5,3,4,1,8,6] => [1,2,2,2,1]
[2,6,5,4,1,8,7,3] => [2,1,1,2,1,1]
[2,6,5,4,1,7,3,8] => [2,1,1,2,2]
[5,6,4,1,2,8,7,3] => [2,1,3,1,1]
[7,6,4,1,5,8,3,2] => [1,1,1,3,1,1]
[5,7,4,1,2,6,8,3] => [2,1,4,1]
[6,7,4,1,5,2,3,8] => [2,1,2,3]
[2,8,6,7,5,3,1,4] => [2,2,1,1,2]
[7,4,5,2,6,3,1,8] => [1,2,2,1,2]
[8,6,3,4,5,1,7,2] => [1,1,3,2,1]
[8,6,3,5,4,1,7,2] => [1,1,2,1,2,1]
[8,7,4,5,1,3,6,2] => [1,1,2,3,1]
[8,6,2,5,3,1,4,7] => [1,1,2,1,3]
[8,4,7,3,1,2,5,6] => [1,2,1,4]
[8,7,3,5,1,6,4,2] => [1,1,2,2,1,1]
[4,8,3,2,6,1,7,5] => [2,1,2,2,1]
[4,3,7,6,1,5,2,8] => [1,2,1,2,2]
[7,5,4,3,6,1,8,2] => [1,1,1,2,2,1]
[4,6,8,5,3,1,2,7] => [3,1,1,3]
[5,6,8,4,3,7,2,1] => [3,1,2,1,1]
[7,5,8,4,2,1,6,3] => [1,2,1,1,2,1]
[1,4,8,7,6,2,5,3] => [3,1,1,2,1]
[7,2,4,1,5,3,8,6] => [1,2,2,2,1]
[8,5,3,4,1,7,2,6] => [1,1,2,2,2]
[2,8,5,4,3,6,1,7] => [2,1,1,2,2]
[8,6,5,3,1,2,7,4] => [1,1,1,1,3,1]
[7,4,6,5,3,2,8,1] => [1,2,1,1,2,1]
[5,6,7,2,3,8,4,1] => [3,3,1,1]
[8,4,2,6,5,7,3,1] => [1,1,2,2,1,1]
[1,7,4,2,8,5,6,3] => [2,1,2,2,1]
[3,2,1,7,4,6,8,5] => [1,1,2,3,1]
[6,2,5,7,1,4,3,8] => [1,3,2,2]
[4,8,5,3,1,2,6,7] => [2,1,1,4]
[8,5,2,4,6,1,3,7] => [1,1,3,3]
[1,5,3,4,7,2,6,8] => [2,3,3]
[8,4,6,1,5,7,3,2] => [1,2,3,1,1]
[6,4,7,2,1,3,8,5] => [1,2,1,3,1]
[6,7,3,1,2,4,8,5] => [2,1,4,1]
[3,1,8,7,6,2,5,4] => [1,2,1,1,2,1]
[1,3,8,6,7,2,5,4] => [3,2,2,1]
[5,2,3,6,1,8,4,7] => [1,3,2,2]
[3,2,6,4,7,1,5,8] => [1,2,2,3]
[3,6,2,5,7,8,4,1] => [2,4,1,1]
[2,7,4,6,8,3,5,1] => [2,3,2,1]
[3,7,6,8,1,5,4,2] => [2,2,2,1,1]
[1,5,7,6,8,4,2,3] => [3,2,1,2]
[2,7,4,6,8,5,3,1] => [2,3,1,1,1]
[3,7,6,8,5,1,4,2] => [2,2,1,2,1]
[7,1,3,8,6,2,4,5] => [1,3,1,3]
[2,7,1,8,6,5,3,4] => [2,2,1,1,2]
[6,2,3,4,1,5,8,7] => [1,3,3,1]
[8,1,6,5,4,3,7,2] => [1,2,1,1,2,1]
[8,1,5,2,6,4,7,3] => [1,2,2,2,1]
[4,1,7,2,5,3,6,8] => [1,2,2,3]
[5,3,4,1,8,6,2,7] => [1,2,2,1,2]
[1,7,3,6,2,4,8,5] => [2,2,3,1]
[4,6,7,5,1,2,3,8] => [3,1,4]
[4,3,8,5,2,1,7,6] => [1,2,1,1,2,1]
[5,3,4,7,6,2,1,8] => [1,3,1,1,2]
[6,3,4,7,5,1,2,8] => [1,3,1,3]
[5,3,4,6,1,7,2,8] => [1,3,2,2]
[6,3,4,8,2,1,7,5] => [1,3,1,2,1]
[5,2,4,6,3,1,7,8] => [1,3,1,3]
[7,2,5,6,8,1,4,3] => [1,4,2,1]
[3,1,5,8,4,7,2,6] => [1,3,2,2]
[8,2,1,4,5,7,3,6] => [1,1,4,2]
[8,7,5,2,6,4,1,3] => [1,1,1,2,1,2]
[8,2,1,4,3,6,7,5] => [1,1,2,3,1]
[8,2,1,4,7,6,5,3] => [1,1,3,1,1,1]
[4,1,8,5,7,2,6,3] => [1,2,2,2,1]
[4,1,8,2,7,5,6,3] => [1,2,2,2,1]
[7,6,8,2,4,3,5,1] => [1,2,2,2,1]
[7,4,5,3,8,1,6,2] => [1,2,2,2,1]
[7,3,6,1,4,2,8,5] => [1,2,2,2,1]
[6,4,2,3,8,7,1,5] => [1,1,3,1,2]
[1,3,8,6,5,7,2,4] => [3,1,2,2]
[5,1,7,2,4,8,6,3] => [1,2,3,1,1]
[7,3,8,2,4,6,5,1] => [1,2,3,1,1]
[5,1,3,7,8,4,6,2] => [1,4,2,1]
[6,5,8,4,1,3,2,7] => [1,2,1,2,2]
[4,8,2,3,6,5,1,7] => [2,3,1,2]
[4,2,5,8,1,6,3,7] => [1,3,2,2]
[8,7,2,6,4,5,1,3] => [1,1,2,2,2]
[5,4,8,2,3,1,6,7] => [1,2,2,3]
[2,6,4,8,3,5,1,7] => [2,2,2,2]
[1,4,8,5,3,2,7,6] => [3,1,1,2,1]
[3,5,8,4,6,7,1,2] => [3,3,2]
[1,2,4,8,5,7,3,6] => [4,2,2]
[7,3,4,1,8,2,5,6] => [1,2,2,3]
[5,6,3,1,8,2,4,7] => [2,1,2,3]
[7,3,6,5,1,8,4,2] => [1,2,1,2,1,1]
[5,7,2,1,4,8,6,3] => [2,1,3,1,1]
[7,6,3,5,2,1,8,4] => [1,1,2,1,2,1]
[3,6,5,2,7,1,8,4] => [2,1,2,2,1]
[3,5,7,4,1,8,6,2] => [3,1,2,1,1]
[6,5,7,2,1,3,8,4] => [1,2,1,3,1]
[5,1,2,7,6,4,8,3] => [1,3,1,2,1]
[4,1,2,6,7,5,8,3] => [1,4,2,1]
[4,3,2,6,8,7,1,5] => [1,1,3,1,2]
[4,3,2,7,8,5,6,1] => [1,1,3,2,1]
[7,5,6,4,1,8,3,2] => [1,2,1,2,1,1]
[7,1,3,5,6,8,4,2] => [1,5,1,1]
[7,1,3,5,6,8,2,4] => [1,5,2]
[2,5,4,3,8,1,7,6] => [2,1,2,2,1]
[3,1,2,8,4,6,5,7] => [1,3,2,2]
[2,5,4,3,8,6,1,7] => [2,1,2,1,2]
[6,2,8,1,7,4,3,5] => [1,2,2,1,2]
[3,8,5,7,4,2,6,1] => [2,2,1,2,1]
[5,4,8,3,1,2,7,6] => [1,2,1,3,1]
[5,3,7,4,1,8,2,6] => [1,2,1,2,2]
[5,1,7,4,6,3,8,2] => [1,2,2,2,1]
[7,6,2,8,1,3,5,4] => [1,1,2,3,1]
[7,3,2,5,1,6,8,4] => [1,1,2,3,1]
[3,6,2,1,8,4,7,5] => [2,1,2,2,1]
[3,5,1,7,6,4,8,2] => [2,2,1,2,1]
[8,7,4,2,1,6,5,3] => [1,1,1,1,2,1,1]
[5,4,7,6,2,1,8,3] => [1,2,1,1,2,1]
[3,5,2,8,7,1,6,4] => [2,2,1,2,1]
[3,7,6,5,4,1,8,2] => [2,1,1,1,2,1]
[4,6,5,3,1,8,7,2] => [2,1,1,2,1,1]
[4,5,2,6,7,3,8,1] => [2,3,2,1]
[8,6,4,5,1,3,2,7] => [1,1,2,2,2]
[8,6,7,4,3,1,5,2] => [1,2,1,1,2,1]
[4,7,1,8,5,3,2,6] => [2,2,1,1,2]
[5,1,8,4,3,6,2,7] => [1,2,1,2,2]
[8,6,7,1,4,3,5,2] => [1,2,2,2,1]
[8,6,7,2,1,3,5,4] => [1,2,1,3,1]
[8,6,4,5,7,1,3,2] => [1,1,3,2,1]
[6,7,5,1,8,3,2,4] => [2,1,2,1,2]
[8,7,3,2,6,5,4,1] => [1,1,1,2,1,1,1]
[8,7,2,3,1,4,6,5] => [1,1,2,3,1]
[8,5,1,6,4,7,3,2] => [1,1,2,2,1,1]
[8,3,4,1,2,7,6,5] => [1,2,3,1,1]
[8,5,6,1,7,4,2,3] => [1,2,2,1,2]
[4,1,6,8,2,7,5,3] => [1,3,2,1,1]
[5,4,1,3,8,7,6,2] => [1,1,3,1,1,1]
[6,4,1,2,5,7,8,3] => [1,1,5,1]
[6,1,5,4,2,7,3,8] => [1,2,1,2,2]
[6,4,2,3,1,7,5,8] => [1,1,2,2,2]
[3,4,6,1,8,2,7,5] => [3,2,2,1]
[5,3,1,4,7,6,2,8] => [1,1,3,1,2]
[6,4,5,2,7,1,3,8] => [1,2,2,3]
[7,4,3,5,1,6,2,8] => [1,1,2,2,2]
[7,5,3,6,2,1,4,8] => [1,1,2,1,3]
[6,4,3,7,1,8,2,5] => [1,1,2,2,2]
[3,1,2,7,6,4,5,8] => [1,3,1,3]
[5,1,2,7,6,3,4,8] => [1,3,1,3]
[5,6,1,7,2,4,3,8] => [2,2,2,2]
[3,5,6,8,1,2,7,4] => [4,3,1]
[2,6,5,7,1,3,4,8] => [2,2,4]
[2,3,7,1,5,6,4,8] => [3,3,2]
[2,6,5,3,4,1,7,8] => [2,1,2,3]
[2,6,1,3,5,4,7,8] => [2,3,3]
[4,6,1,5,2,8,7,3] => [2,2,2,1,1]
[6,1,5,4,2,7,8,3] => [1,2,1,3,1]
[4,6,1,5,2,7,8,3] => [2,2,3,1]
[2,8,6,5,1,3,7,4] => [2,1,1,3,1]
[5,1,8,6,2,7,4,3] => [1,2,1,2,1,1]
[3,6,8,2,7,5,1,4] => [3,2,1,2]
[5,6,4,1,7,2,8,3] => [2,1,2,2,1]
[1,4,5,3,8,7,2,6] => [3,2,1,2]
[1,4,5,3,6,8,2,7] => [3,3,2]
[3,4,1,6,8,5,7,2] => [2,3,2,1]
[3,8,6,1,5,7,4,2] => [2,1,3,1,1]
[8,6,7,1,3,5,4,2] => [1,2,3,1,1]
[3,4,1,6,7,5,8,2] => [2,3,2,1]
[3,5,8,2,1,6,4,7] => [3,1,2,2]
[6,1,3,8,5,7,4,2] => [1,3,2,1,1]
[8,1,6,3,4,2,5,7] => [1,2,2,3]
[3,4,1,5,8,7,6,2] => [2,3,1,1,1]
[3,4,1,5,7,8,6,2] => [2,4,1,1]
[3,4,1,5,8,6,7,2] => [2,3,2,1]
[2,5,8,3,6,1,7,4] => [3,2,2,1]
[5,1,6,2,4,7,3,8] => [1,2,3,2]
[6,1,4,7,2,5,3,8] => [1,3,2,2]
[2,5,7,3,6,1,4,8] => [3,2,3]
[7,4,2,3,1,6,8,5] => [1,1,2,3,1]
[3,7,4,5,1,8,2,6] => [2,2,2,2]
[6,7,2,5,4,3,8,1] => [2,2,1,2,1]
[2,3,5,6,8,4,1,7] => [5,1,2]
[3,7,5,6,4,1,2,8] => [2,2,1,3]
[6,7,1,5,3,4,2,8] => [2,2,2,2]
[5,4,2,3,7,1,6,8] => [1,1,3,3]
[6,4,3,7,1,8,5,2] => [1,1,2,2,1,1]
[7,3,1,6,2,4,5,8] => [1,1,2,4]
[4,3,6,2,5,8,1,7] => [1,2,3,2]
[1,6,7,2,8,5,3,4] => [3,2,1,2]
[1,6,4,5,7,3,2,8] => [2,3,1,2]
[1,6,4,5,7,2,8,3] => [2,3,2,1]
[1,7,5,6,4,8,3,2] => [2,2,2,1,1]
[1,5,6,7,3,2,4,8] => [4,1,3]
[3,1,5,4,2,7,8,6] => [1,2,1,3,1]
[4,3,5,7,8,1,2,6] => [1,4,3]
[6,3,5,4,1,7,2,8] => [1,2,1,2,2]
[5,4,7,2,6,3,1,8] => [1,2,2,1,2]
[5,4,1,6,8,3,2,7] => [1,1,3,1,2]
[5,4,1,3,7,6,2,8] => [1,1,3,1,2]
[5,4,7,6,1,3,2,8] => [1,2,1,2,2]
[7,4,6,5,8,3,1,2] => [1,2,2,1,2]
[8,2,7,6,1,5,3,4] => [1,2,1,2,2]
[1,4,6,5,8,3,2,7] => [3,2,1,2]
[4,3,1,6,8,5,2,7] => [1,1,3,1,2]
[4,3,1,5,7,6,2,8] => [1,1,3,1,2]
[5,2,4,3,8,7,1,6] => [1,2,2,1,2]
[3,2,8,4,1,7,5,6] => [1,2,1,2,2]
[8,2,4,3,1,7,5,6] => [1,2,1,2,2]
[8,2,1,4,3,7,5,6] => [1,1,2,2,2]
[7,6,8,2,1,5,3,4] => [1,2,1,2,2]
[5,4,6,7,2,1,8,3] => [1,3,1,2,1]
[6,7,2,5,4,1,8,3] => [2,2,1,2,1]
[3,1,8,4,7,5,6,2] => [1,2,2,2,1]
[8,6,2,5,1,3,7,4] => [1,1,2,3,1]
[3,8,2,4,1,6,5,7] => [2,2,2,2]
[2,4,3,5,8,6,1,7] => [2,3,1,2]
[8,4,3,1,5,2,6,7] => [1,1,1,2,3]
[7,1,6,8,3,2,4,5] => [1,3,1,3]
[7,8,3,6,1,2,5,4] => [2,2,3,1]
[7,2,8,6,1,3,5,4] => [1,2,1,3,1]
[5,7,2,6,4,1,8,3] => [2,2,1,2,1]
[8,1,7,6,2,3,5,4] => [1,2,1,3,1]
[7,4,3,1,6,8,2,5] => [1,1,1,3,2]
[4,5,6,1,3,8,2,7] => [3,3,2]
[6,3,5,7,4,2,8,1] => [1,3,1,2,1]
[7,6,4,8,5,3,1,2] => [1,1,2,1,1,2]
[8,2,1,6,4,7,3,5] => [1,1,2,2,2]
[1,3,8,6,5,2,7,4] => [3,1,1,2,1]
[2,7,3,8,5,6,4,1] => [2,2,2,1,1]
[1,2,8,5,7,4,6,3] => [3,2,2,1]
[1,6,8,5,4,7,2,3] => [3,1,2,2]
[3,8,4,5,6,7,1,2] => [2,4,2]
[2,1,3,7,4,6,8,5] => [1,3,3,1]
[5,7,1,8,3,2,6,4] => [2,2,1,2,1]
[7,2,4,1,8,6,5,3] => [1,2,2,1,1,1]
[7,2,3,5,1,6,4,8] => [1,3,2,2]
[2,1,3,8,6,4,7,5] => [1,3,1,2,1]
[7,4,8,1,3,2,5,6] => [1,2,2,3]
[4,7,6,1,3,2,5,8] => [2,1,2,3]
[8,2,5,4,3,7,1,6] => [1,2,1,2,2]
[5,8,4,3,7,6,2,1] => [2,1,2,1,1,1]
[8,1,5,3,4,7,2,6] => [1,2,3,2]
[6,1,8,7,4,5,3,2] => [1,2,1,2,1,1]
[1,5,8,6,4,3,7,2] => [3,1,1,2,1]
[5,8,6,4,2,1,7,3] => [2,1,1,1,2,1]
[2,6,1,8,4,7,5,3] => [2,2,2,1,1]
[5,3,8,6,1,2,7,4] => [1,2,1,3,1]
[5,8,1,4,6,2,7,3] => [2,3,2,1]
[3,7,6,2,1,4,8,5] => [2,1,1,3,1]
[4,6,2,3,7,1,8,5] => [2,3,2,1]
[6,8,7,5,1,3,4,2] => [2,1,1,3,1]
[6,4,3,2,7,8,5,1] => [1,1,1,3,1,1]
[2,7,6,1,5,3,8,4] => [2,1,2,2,1]
[7,8,6,4,2,5,3,1] => [2,1,1,2,1,1]
[6,4,5,8,7,1,3,2] => [1,3,1,2,1]
[6,4,1,7,8,3,2,5] => [1,1,3,1,2]
[7,5,6,3,2,1,8,4] => [1,2,1,1,2,1]
[7,5,6,2,3,1,8,4] => [1,2,2,2,1]
[1,7,4,6,2,5,8,3] => [2,2,3,1]
[7,5,2,3,6,1,8,4] => [1,1,3,2,1]
[7,5,3,6,2,1,8,4] => [1,1,2,1,2,1]
[6,5,7,1,4,2,8,3] => [1,2,2,2,1]
[3,8,2,5,7,6,1,4] => [2,3,1,2]
[3,8,1,2,7,5,6,4] => [2,3,2,1]
[7,5,2,6,1,3,8,4] => [1,1,2,3,1]
[7,6,3,2,1,4,8,5] => [1,1,1,1,3,1]
[7,5,2,1,6,3,8,4] => [1,1,1,2,2,1]
[6,4,2,1,5,7,8,3] => [1,1,1,4,1]
[6,3,2,8,4,7,5,1] => [1,1,2,2,1,1]
[6,4,3,8,7,2,5,1] => [1,1,2,1,2,1]
[5,4,7,2,1,3,8,6] => [1,2,1,3,1]
[2,6,4,5,7,1,8,3] => [2,3,2,1]
[3,7,4,6,1,5,8,2] => [2,2,3,1]
[3,4,6,5,2,8,1,7] => [3,1,2,2]
[4,6,7,5,8,2,1,3] => [3,2,1,2]
[5,6,3,1,4,7,2,8] => [2,1,3,2]
[2,7,8,3,5,6,4,1] => [3,3,1,1]
[2,3,5,8,4,7,6,1] => [4,2,1,1]
[8,2,6,5,1,4,7,3] => [1,2,1,3,1]
[5,6,3,1,8,4,2,7] => [2,1,2,1,2]
[7,3,2,8,4,5,6,1] => [1,1,2,3,1]
[7,4,1,8,3,6,2,5] => [1,1,2,2,2]
[7,1,6,4,3,8,2,5] => [1,2,1,2,2]
[6,7,2,1,4,8,3,5] => [2,1,3,2]
[2,5,7,6,4,1,8,3] => [3,1,1,2,1]
[5,1,4,6,2,7,8,3] => [1,3,3,1]
[1,2,5,3,7,8,6,4] => [3,3,1,1]
[4,8,3,5,1,2,7,6] => [2,2,3,1]
[6,1,3,7,2,8,4,5] => [1,3,2,2]
[3,8,5,4,1,7,2,6] => [2,1,1,2,2]
[3,1,5,8,2,6,7,4] => [1,3,3,1]
[2,8,5,3,1,7,4,6] => [2,1,1,2,2]
[6,5,2,3,7,1,8,4] => [1,1,3,2,1]
[7,2,1,6,4,8,3,5] => [1,1,2,2,2]
[2,1,3,7,5,8,4,6] => [1,3,2,2]
[6,2,4,5,7,1,8,3] => [1,4,2,1]
[2,3,8,7,1,4,6,5] => [3,1,3,1]
[4,2,7,5,6,8,1,3] => [1,2,3,2]
[1,4,7,6,5,2,3,8] => [3,1,1,3]
[2,7,3,5,1,4,6,8] => [2,2,4]
[2,7,8,3,5,1,4,6] => [3,2,3]
[7,4,5,1,3,6,8,2] => [1,2,4,1]
[8,2,7,4,5,1,3,6] => [1,2,2,3]
[2,4,1,3,7,6,5,8] => [2,3,1,2]
[6,2,5,4,7,3,1,8] => [1,2,2,1,2]
[2,6,7,4,1,3,5,8] => [3,1,4]
[6,7,4,1,3,5,8,2] => [2,1,4,1]
[7,2,8,3,5,6,4,1] => [1,2,3,1,1]
[6,8,2,5,4,7,3,1] => [2,2,2,1,1]
[5,6,8,1,4,7,3,2] => [3,3,1,1]
[7,1,3,8,6,5,2,4] => [1,3,1,1,2]
[6,3,4,1,8,2,5,7] => [1,2,2,3]
[5,1,8,7,3,6,2,4] => [1,2,1,2,2]
[2,7,6,3,8,4,5,1] => [2,1,2,2,1]
[4,6,8,2,3,1,7,5] => [3,2,2,1]
[4,7,2,3,5,1,8,6] => [2,3,2,1]
[6,4,2,1,3,7,5,8] => [1,1,1,3,2]
[5,3,2,7,6,1,8,4] => [1,1,2,1,2,1]
[5,6,4,2,8,7,1,3] => [2,1,2,1,2]
[5,7,4,2,6,1,8,3] => [2,1,2,2,1]
[5,4,7,1,6,2,8,3] => [1,2,2,2,1]
[4,5,8,7,6,2,1,3] => [3,1,1,1,2]
[6,4,7,1,2,3,8,5] => [1,2,4,1]
[5,7,1,8,2,4,3,6] => [2,2,2,2]
[6,7,1,2,5,8,4,3] => [2,4,1,1]
[8,1,4,6,5,2,3,7] => [1,3,1,3]
[4,8,6,3,7,2,5,1] => [2,1,2,2,1]
[1,8,7,2,3,4,6,5] => [2,1,4,1]
[1,8,3,7,6,2,5,4] => [2,2,1,2,1]
[1,3,8,2,5,6,4,7] => [3,3,2]
[1,3,2,7,4,6,8,5] => [2,2,3,1]
[1,3,8,4,6,2,7,5] => [3,2,2,1]
[6,4,3,5,1,7,2,8] => [1,1,2,2,2]
[6,3,1,5,4,7,2,8] => [1,1,2,2,2]
[2,3,5,8,4,1,6,7] => [4,1,3]
[2,5,8,4,3,6,7,1] => [3,1,3,1]
[4,5,3,8,2,6,7,1] => [2,2,3,1]
[5,8,4,6,7,2,3,1] => [2,3,2,1]
[4,2,5,8,6,7,3,1] => [1,3,2,1,1]
[8,2,3,6,7,4,5,1] => [1,4,2,1]
[5,8,4,6,2,7,3,1] => [2,2,2,1,1]
[6,8,3,7,2,4,5,1] => [2,2,3,1]
[6,1,3,8,5,4,2,7] => [1,3,1,1,2]
[8,6,2,1,5,4,7,3] => [1,1,1,2,2,1]
[3,6,1,2,5,4,7,8] => [2,3,3]
[5,6,4,2,1,7,3,8] => [2,1,1,2,2]
[4,2,7,6,5,3,8,1] => [1,2,1,1,2,1]
[3,2,7,6,5,1,8,4] => [1,2,1,1,2,1]
[2,3,7,6,4,8,5,1] => [3,1,2,1,1]
[2,5,7,6,3,8,4,1] => [3,1,2,1,1]
[4,5,7,8,6,2,3,1] => [4,1,2,1]
[6,4,7,1,2,5,3,8] => [1,2,3,2]
[3,6,7,5,4,1,8,2] => [3,1,1,2,1]
[8,4,3,6,5,7,1,2] => [1,1,2,2,2]
[8,2,4,6,5,7,1,3] => [1,3,2,2]
[7,2,6,4,3,1,8,5] => [1,2,1,1,2,1]
[6,8,5,2,1,4,3,7] => [2,1,1,2,2]
[3,2,8,5,7,4,1,6] => [1,2,2,1,2]
[8,2,3,6,4,7,1,5] => [1,3,2,2]
[8,4,6,5,2,7,1,3] => [1,2,1,2,2]
[8,2,1,5,7,4,3,6] => [1,1,3,1,2]
[8,7,1,2,3,5,4,6] => [1,1,4,2]
[1,8,7,5,4,2,3,6] => [2,1,1,1,3]
[8,4,5,1,2,3,7,6] => [1,2,4,1]
[4,1,7,2,3,8,6,5] => [1,2,3,1,1]
[1,6,5,2,7,8,3,4] => [2,1,3,2]
[1,2,7,5,8,6,3,4] => [3,2,1,2]
[1,6,2,5,7,8,4,3] => [2,4,1,1]
[7,4,5,1,6,8,2,3] => [1,2,3,2]
[1,6,4,5,2,7,8,3] => [2,2,3,1]
[1,7,8,4,2,6,3,5] => [3,1,2,2]
[6,3,2,5,7,4,1,8] => [1,1,3,1,2]
[7,4,3,2,6,8,1,5] => [1,1,1,3,2]
[5,2,8,4,6,3,1,7] => [1,2,2,1,2]
[6,4,7,5,3,1,2,8] => [1,2,1,1,3]
[6,2,1,4,5,8,3,7] => [1,1,4,2]
[6,4,8,5,2,7,3,1] => [1,2,1,2,1,1]
[5,2,6,3,1,8,4,7] => [1,2,1,2,2]
[6,2,3,1,8,4,5,7] => [1,2,2,3]
[5,4,2,7,1,3,8,6] => [1,1,2,3,1]
[3,7,1,5,2,4,8,6] => [2,2,3,1]
[6,4,7,5,1,2,3,8] => [1,2,1,4]
[5,2,1,7,4,6,3,8] => [1,1,2,2,2]
[6,2,1,5,3,7,8,4] => [1,1,2,3,1]
[3,8,1,6,2,7,4,5] => [2,2,2,2]
[6,5,8,2,7,4,3,1] => [1,2,2,1,1,1]
[1,8,6,2,3,4,7,5] => [2,1,4,1]
[1,5,2,7,3,6,8,4] => [2,2,3,1]
[1,4,7,6,2,8,5,3] => [3,1,2,1,1]
[1,5,8,3,2,6,4,7] => [3,1,2,2]
[6,2,5,1,3,8,7,4] => [1,2,3,1,1]
[6,2,8,5,1,3,7,4] => [1,2,1,3,1]
[4,1,7,8,3,6,5,2] => [1,3,2,1,1]
[6,4,2,1,7,3,5,8] => [1,1,1,2,3]
[5,8,4,2,1,3,6,7] => [2,1,1,4]
[6,7,1,4,8,2,3,5] => [2,3,3]
[6,8,1,2,3,5,4,7] => [2,4,2]
[6,3,5,7,1,8,2,4] => [1,3,2,2]
[6,4,2,5,7,8,3,1] => [1,1,4,1,1]
[6,3,5,7,1,8,4,2] => [1,3,2,1,1]
[7,4,1,2,3,6,5,8] => [1,1,4,2]
[7,2,1,6,3,4,5,8] => [1,1,2,4]
[7,3,6,2,4,1,5,8] => [1,2,2,3]
[5,4,1,2,3,6,8,7] => [1,1,5,1]
[7,2,4,3,1,8,5,6] => [1,2,1,2,2]
[1,7,5,8,4,3,6,2] => [2,2,1,2,1]
[2,7,8,5,1,6,3,4] => [3,1,2,2]
[2,7,8,3,5,1,6,4] => [3,2,2,1]
[2,3,7,8,5,6,4,1] => [4,2,1,1]
[2,3,7,5,8,1,6,4] => [3,2,2,1]
[2,3,7,5,8,6,4,1] => [3,2,1,1,1]
[4,3,1,7,8,2,5,6] => [1,1,3,3]
[2,5,7,8,1,3,6,4] => [4,3,1]
[2,5,7,8,3,6,4,1] => [4,2,1,1]
[6,1,3,5,7,8,2,4] => [1,5,2]
[5,8,1,6,4,7,2,3] => [2,2,2,2]
[2,4,7,5,1,8,6,3] => [3,1,2,1,1]
[2,3,7,1,8,5,6,4] => [3,2,2,1]
[6,5,1,2,7,4,8,3] => [1,1,3,2,1]
[3,6,5,7,8,2,4,1] => [2,3,2,1]
[3,6,5,1,8,7,4,2] => [2,1,2,1,1,1]
[7,4,5,8,1,3,2,6] => [1,3,2,2]
[5,7,2,1,6,4,3,8] => [2,1,2,1,2]
[8,7,2,1,6,4,3,5] => [1,1,1,2,1,2]
[7,8,1,2,5,4,3,6] => [2,3,1,2]
[8,7,1,2,6,4,3,5] => [1,1,3,1,2]
[8,1,7,2,6,5,3,4] => [1,2,2,1,2]
[4,2,7,8,6,5,3,1] => [1,3,1,1,1,1]
[3,1,2,7,6,5,4,8] => [1,3,1,1,2]
[2,7,8,1,6,4,3,5] => [3,2,1,2]
[4,2,7,1,6,5,3,8] => [1,2,2,1,2]
[3,4,7,6,1,5,2,8] => [3,1,2,2]
[5,7,1,6,8,4,2,3] => [2,3,1,2]
[4,1,7,6,8,5,2,3] => [1,2,2,1,2]
[3,4,7,6,5,8,1,2] => [3,1,2,2]
[2,8,4,3,5,1,7,6] => [2,1,2,2,1]
[3,8,4,2,6,5,7,1] => [2,1,2,2,1]
[3,2,5,8,6,4,7,1] => [1,3,1,2,1]
[4,2,5,3,6,8,7,1] => [1,2,3,1,1]
[3,8,4,1,6,5,7,2] => [2,1,2,2,1]
[1,8,5,2,6,4,7,3] => [2,1,2,2,1]
[3,8,5,1,6,4,7,2] => [2,1,2,2,1]
[4,8,5,1,6,3,7,2] => [2,1,2,2,1]
[4,1,5,8,6,3,7,2] => [1,3,1,2,1]
[4,1,5,3,6,2,7,8] => [1,2,2,3]
[3,8,5,4,6,2,7,1] => [2,1,2,2,1]
[5,2,4,7,6,8,1,3] => [1,3,2,2]
[3,1,5,7,4,8,6,2] => [1,3,2,1,1]
[4,1,7,6,8,2,5,3] => [1,2,2,2,1]
[7,2,6,4,1,5,3,8] => [1,2,1,2,2]
[1,2,6,5,8,3,7,4] => [3,2,2,1]
[7,3,5,6,1,4,2,8] => [1,3,2,2]
[5,8,3,1,6,7,4,2] => [2,1,3,1,1]
[4,5,8,1,7,3,6,2] => [3,2,2,1]
[4,7,1,6,8,5,2,3] => [2,3,1,2]
[5,8,7,1,6,4,2,3] => [2,1,2,1,2]
[4,1,8,3,2,5,7,6] => [1,2,1,3,1]
[1,7,3,8,2,5,4,6] => [2,2,2,2]
[8,4,2,1,6,3,7,5] => [1,1,1,2,2,1]
[8,2,6,1,5,7,4,3] => [1,2,3,1,1]
[5,1,8,4,3,6,7,2] => [1,2,1,3,1]
[8,2,1,3,5,7,6,4] => [1,1,4,1,1]
[8,4,1,3,6,7,5,2] => [1,1,4,1,1]
[1,8,4,6,2,3,5,7] => [2,2,4]
[4,1,3,5,6,2,7,8] => [1,4,3]
[2,6,1,3,7,5,8,4] => [2,3,2,1]
[2,5,1,7,6,3,8,4] => [2,2,1,2,1]
[5,8,2,4,6,1,7,3] => [2,3,2,1]
[1,4,7,8,5,2,6,3] => [4,1,2,1]
[3,8,5,2,6,4,1,7] => [2,1,2,1,2]
[8,2,5,7,6,1,4,3] => [1,3,1,2,1]
[5,3,1,8,6,7,4,2] => [1,1,2,2,1,1]
[5,7,1,6,4,2,8,3] => [2,2,1,2,1]
[5,7,3,2,1,4,8,6] => [2,1,1,3,1]
[5,8,6,3,2,4,7,1] => [2,1,1,3,1]
[6,2,7,1,4,3,5,8] => [1,2,2,3]
[7,6,2,8,5,3,1,4] => [1,1,2,1,1,2]
[6,1,5,7,3,4,8,2] => [1,3,3,1]
[7,1,2,3,8,4,6,5] => [1,4,2,1]
[3,5,8,1,6,2,7,4] => [3,2,2,1]
[4,1,3,5,2,7,6,8] => [1,3,2,2]
[4,1,5,7,2,8,6,3] => [1,3,2,1,1]
[4,5,7,6,2,8,3,1] => [3,1,2,1,1]
[4,5,6,2,8,7,1,3] => [3,2,1,2]
[6,2,8,5,4,3,7,1] => [1,2,1,1,2,1]
[3,7,4,8,6,5,2,1] => [2,2,1,1,1,1]
[3,8,6,5,4,2,7,1] => [2,1,1,1,2,1]
[5,8,4,7,6,1,2,3] => [2,2,1,3]
[8,3,2,7,5,1,6,4] => [1,1,2,1,2,1]
[4,8,5,7,3,2,6,1] => [2,2,1,2,1]
[2,6,7,4,8,1,5,3] => [3,2,2,1]
[2,8,6,5,4,1,3,7] => [2,1,1,1,3]
[8,3,4,2,1,6,7,5] => [1,2,1,3,1]
[8,7,4,3,1,2,6,5] => [1,1,1,1,3,1]
[6,8,4,3,1,2,7,5] => [2,1,1,3,1]
[8,3,2,6,5,1,7,4] => [1,1,2,1,2,1]
[7,3,2,6,5,1,4,8] => [1,1,2,1,3]
[8,3,6,5,1,2,7,4] => [1,2,1,3,1]
[2,5,4,6,8,3,7,1] => [2,3,2,1]
[2,6,5,8,7,1,4,3] => [2,2,1,2,1]
[2,5,3,7,1,4,6,8] => [2,2,4]
[2,6,8,4,7,1,3,5] => [3,2,3]
[2,8,3,7,5,4,1,6] => [2,2,1,1,2]
[2,7,8,4,1,5,3,6] => [3,1,2,2]
[8,3,4,2,1,5,7,6] => [1,2,1,3,1]
[7,8,6,3,2,5,4,1] => [2,1,1,2,1,1]
[6,1,3,8,4,7,5,2] => [1,3,2,1,1]
[5,4,2,8,1,6,7,3] => [1,1,2,3,1]
[5,3,1,8,7,4,6,2] => [1,1,2,1,2,1]
[5,2,8,6,3,1,4,7] => [1,2,1,1,3]
[4,5,1,7,8,6,3,2] => [2,3,1,1,1]
[4,2,5,6,8,3,7,1] => [1,4,2,1]
[7,4,8,1,2,6,5,3] => [1,2,3,1,1]
[1,6,4,8,2,3,5,7] => [2,2,4]
[1,6,8,3,7,5,4,2] => [3,2,1,1,1]
[7,3,6,5,1,8,2,4] => [1,2,1,2,2]
[7,2,4,1,8,6,3,5] => [1,2,2,1,2]
[1,6,8,2,7,3,5,4] => [3,2,2,1]
[4,8,7,2,1,3,6,5] => [2,1,1,3,1]
[5,8,1,3,7,4,6,2] => [2,3,2,1]
[5,4,8,1,7,2,3,6] => [1,2,2,3]
[2,8,5,6,4,1,7,3] => [2,2,1,2,1]
[1,4,7,3,5,8,6,2] => [3,3,1,1]
[3,7,8,2,5,1,6,4] => [3,2,2,1]
[8,6,1,4,3,2,7,5] => [1,1,2,1,2,1]
[7,3,8,2,4,1,5,6] => [1,2,2,3]
[6,3,7,8,1,2,5,4] => [1,3,3,1]
[7,6,1,5,2,3,8,4] => [1,1,2,3,1]
[5,1,8,6,7,2,3,4] => [1,2,2,3]
[5,7,1,6,8,2,3,4] => [2,3,3]
[6,8,4,2,1,7,3,5] => [2,1,1,2,2]
[6,3,2,8,1,7,4,5] => [1,1,2,2,2]
[1,8,5,6,3,7,4,2] => [2,2,2,1,1]
[6,7,8,2,4,1,5,3] => [3,2,2,1]
[5,4,2,1,7,6,8,3] => [1,1,1,2,2,1]
[6,4,1,3,7,8,5,2] => [1,1,4,1,1]
[2,3,1,7,4,6,5,8] => [2,2,2,2]
[2,8,3,7,5,4,6,1] => [2,2,1,2,1]
[6,8,5,4,3,7,1,2] => [2,1,1,2,2]
[1,8,3,2,7,4,5,6] => [2,1,2,3]
[4,5,1,7,3,2,8,6] => [2,2,1,2,1]
[1,8,6,7,4,3,5,2] => [2,2,1,2,1]
[1,7,8,2,3,4,6,5] => [3,4,1]
[3,7,2,1,6,5,8,4] => [2,1,2,2,1]
[1,6,3,4,2,8,5,7] => [2,2,2,2]
[5,2,3,8,1,6,4,7] => [1,3,2,2]
[3,2,4,7,6,8,1,5] => [1,3,2,2]
[2,7,8,4,3,1,5,6] => [3,1,1,3]
[7,4,2,1,6,3,8,5] => [1,1,1,2,2,1]
[3,5,8,4,2,7,1,6] => [3,1,2,2]
[3,5,6,7,4,1,2,8] => [4,1,3]
[5,1,3,6,8,4,2,7] => [1,4,1,2]
[5,6,4,8,7,1,2,3] => [2,2,1,3]
[6,5,4,2,8,7,3,1] => [1,1,1,2,1,1,1]
[1,8,5,2,7,6,3,4] => [2,1,2,1,2]
[8,2,4,6,3,1,5,7] => [1,3,1,3]
[5,3,6,4,8,1,2,7] => [1,2,2,3]
[3,6,5,2,1,7,8,4] => [2,1,1,3,1]
[5,7,4,8,3,1,2,6] => [2,2,1,3]
[4,5,8,3,6,2,1,7] => [3,2,1,2]
[6,3,7,5,1,2,4,8] => [1,2,1,4]
[5,3,7,1,2,6,4,8] => [1,2,3,2]
[5,1,2,6,4,7,3,8] => [1,3,2,2]
[6,1,2,4,8,3,7,5] => [1,4,2,1]
[6,7,2,8,1,4,5,3] => [2,2,3,1]
[7,1,4,5,6,3,8,2] => [1,4,2,1]
[2,5,6,3,1,4,7,8] => [3,1,4]
[6,7,1,3,5,2,4,8] => [2,3,3]
[7,1,4,5,6,2,3,8] => [1,4,3]
[2,5,6,8,1,4,7,3] => [4,3,1]
[7,4,1,6,5,2,3,8] => [1,1,2,1,3]
[4,1,6,5,2,3,8,7] => [1,2,1,3,1]
[4,5,1,7,8,6,2,3] => [2,3,1,2]
[8,5,7,3,4,6,2,1] => [1,2,3,1,1]
[6,8,7,4,3,5,2,1] => [2,1,1,2,1,1]
[6,8,7,5,3,4,2,1] => [2,1,1,2,1,1]
[5,8,6,2,4,7,3,1] => [2,1,3,1,1]
[4,8,6,2,5,7,3,1] => [2,1,3,1,1]
[1,6,4,7,5,3,2,8] => [2,2,1,1,2]
[1,6,5,3,2,7,4,8] => [2,1,1,2,2]
[1,6,8,7,4,5,3,2] => [3,1,2,1,1]
[1,4,7,5,3,2,6,8] => [3,1,1,3]
[1,7,5,4,3,2,8,6] => [2,1,1,1,2,1]
[1,4,7,5,3,2,8,6] => [3,1,1,2,1]
[1,7,4,6,8,5,3,2] => [2,3,1,1,1]
[6,8,7,2,3,5,4,1] => [2,1,3,1,1]
[5,7,6,1,8,2,4,3] => [2,1,2,2,1]
[4,8,6,5,7,2,3,1] => [2,1,2,2,1]
[2,7,8,5,1,4,3,6] => [3,1,2,2]
[3,6,4,8,1,2,5,7] => [2,2,4]
[8,5,6,4,7,1,3,2] => [1,2,2,2,1]
[5,7,2,1,6,4,8,3] => [2,1,2,2,1]
[5,3,7,6,2,8,4,1] => [1,2,1,2,1,1]
[2,7,5,6,1,4,8,3] => [2,2,3,1]
[2,4,1,7,6,8,3,5] => [2,2,2,2]
[2,4,3,7,6,8,1,5] => [2,2,2,2]
[5,1,6,4,3,7,8,2] => [1,2,1,3,1]
[5,7,1,6,4,3,8,2] => [2,2,1,2,1]
[8,4,6,1,3,7,5,2] => [1,2,3,1,1]
[8,5,6,2,4,7,3,1] => [1,2,3,1,1]
[3,5,8,4,2,6,1,7] => [3,1,2,2]
[8,1,3,6,4,5,2,7] => [1,3,2,2]
[1,5,4,7,8,2,6,3] => [2,3,2,1]
[8,3,6,5,1,7,4,2] => [1,2,1,2,1,1]
[4,3,1,6,2,5,8,7] => [1,1,2,3,1]
[7,5,2,1,8,4,3,6] => [1,1,1,2,1,2]
[5,3,1,4,7,8,2,6] => [1,1,4,2]
[7,1,2,4,8,3,5,6] => [1,4,3]
[8,6,1,3,5,7,4,2] => [1,1,4,1,1]
[7,1,5,8,2,3,4,6] => [1,3,4]
[3,6,8,5,1,4,2,7] => [3,1,2,2]
[5,2,4,1,6,8,3,7] => [1,2,3,2]
[7,1,5,2,3,4,6,8] => [1,2,5]
[2,5,3,4,6,8,1,7] => [2,4,2]
[4,7,1,2,5,6,3,8] => [2,4,2]
[6,7,3,1,8,2,4,5] => [2,1,2,3]
[7,3,1,4,6,2,8,5] => [1,1,3,2,1]
[7,4,1,2,5,6,3,8] => [1,1,4,2]
[5,4,1,3,6,8,7,2] => [1,1,4,1,1]
[5,7,4,8,1,6,3,2] => [2,2,2,1,1]
[5,7,3,4,6,2,1,8] => [2,3,1,2]
[7,3,5,6,2,4,1,8] => [1,3,2,2]
[3,7,2,5,6,1,4,8] => [2,3,3]
[3,1,2,7,5,8,6,4] => [1,3,2,1,1]
[3,7,2,5,1,6,4,8] => [2,2,2,2]
[4,5,8,2,7,6,3,1] => [3,2,1,1,1]
[1,5,7,2,6,4,3,8] => [3,2,1,2]
[6,3,5,1,4,7,2,8] => [1,2,3,2]
[7,3,4,6,1,5,2,8] => [1,3,2,2]
[5,3,6,8,1,7,4,2] => [1,3,2,1,1]
[8,3,5,7,4,6,1,2] => [1,3,2,2]
[8,4,7,2,3,5,1,6] => [1,2,3,2]
[2,3,7,8,1,6,4,5] => [4,2,2]
[2,7,3,8,5,4,1,6] => [2,2,1,1,2]
[6,5,3,8,2,4,7,1] => [1,1,2,3,1]
[8,3,7,6,5,4,1,2] => [1,2,1,1,1,2]
[4,3,1,2,5,7,6,8] => [1,1,4,2]
[1,2,4,7,8,5,6,3] => [5,2,1]
[8,3,6,5,7,4,2,1] => [1,2,2,1,1,1]
[8,2,6,5,7,4,3,1] => [1,2,2,1,1,1]
[8,4,7,1,5,2,6,3] => [1,2,2,2,1]
[8,2,6,3,7,5,4,1] => [1,2,2,1,1,1]
[8,2,5,3,7,6,4,1] => [1,2,2,1,1,1]
[8,5,7,1,4,3,6,2] => [1,2,2,2,1]
[4,3,6,7,5,1,8,2] => [1,3,1,2,1]
[2,6,7,1,4,3,5,8] => [3,2,3]
[8,6,2,1,4,5,3,7] => [1,1,1,3,2]
[4,1,5,3,2,6,7,8] => [1,2,1,4]
[5,1,2,6,4,3,7,8] => [1,3,1,3]
[5,1,2,7,4,3,6,8] => [1,3,1,3]
[5,1,2,7,6,4,3,8] => [1,3,1,1,2]
[5,3,8,1,7,4,2,6] => [1,2,2,1,2]
[5,8,7,2,4,6,3,1] => [2,1,3,1,1]
[8,5,3,1,2,6,4,7] => [1,1,1,3,2]
[5,6,3,1,2,8,4,7] => [2,1,3,2]
[5,3,8,4,6,1,2,7] => [1,2,2,3]
[5,3,1,8,4,2,6,7] => [1,1,2,1,3]
[5,8,3,1,6,2,4,7] => [2,1,2,3]
[5,6,8,3,1,4,2,7] => [3,1,2,2]
[5,3,6,8,4,1,2,7] => [1,3,1,3]
[5,3,1,2,6,4,8,7] => [1,1,3,2,1]
[5,3,4,8,6,1,2,7] => [1,3,1,3]
[5,3,1,4,6,8,2,7] => [1,1,4,2]
[4,3,6,5,1,2,8,7] => [1,2,1,3,1]
[5,4,1,6,8,7,2,3] => [1,1,3,1,2]
[3,5,4,7,8,1,6,2] => [2,3,2,1]
[4,5,3,6,8,7,1,2] => [2,3,1,2]
[4,1,6,7,2,8,5,3] => [1,3,2,1,1]
[2,1,6,5,8,7,3,4] => [1,2,2,1,2]
[6,4,5,7,1,8,3,2] => [1,3,2,1,1]
[4,8,2,5,7,3,6,1] => [2,3,2,1]
[4,5,2,7,8,3,1,6] => [2,3,1,2]
[3,7,8,1,6,2,5,4] => [3,2,2,1]
[3,4,6,1,7,5,8,2] => [3,2,2,1]
[6,1,5,4,7,3,8,2] => [1,2,2,2,1]
[3,2,5,6,7,1,8,4] => [1,4,2,1]
[3,6,5,2,7,4,8,1] => [2,1,2,2,1]
[6,4,5,1,7,3,8,2] => [1,2,2,2,1]
[6,1,5,3,7,2,8,4] => [1,2,2,2,1]
[6,1,5,3,7,4,8,2] => [1,2,2,2,1]
[6,2,5,4,7,3,8,1] => [1,2,2,2,1]
[5,1,7,6,3,2,4,8] => [1,2,1,1,3]
[8,5,7,6,1,3,4,2] => [1,2,1,3,1]
[8,6,5,1,7,3,4,2] => [1,1,1,2,2,1]
[6,8,5,7,1,3,4,2] => [2,2,3,1]
[8,4,7,6,1,5,3,2] => [1,2,1,2,1,1]
[8,4,2,7,6,3,5,1] => [1,1,2,1,2,1]
[8,7,2,1,6,3,5,4] => [1,1,1,2,2,1]
[3,1,8,4,2,7,6,5] => [1,2,1,2,1,1]
[2,8,7,4,1,3,6,5] => [2,1,1,3,1]
[8,2,3,1,7,6,4,5] => [1,2,2,1,2]
[8,7,2,3,1,6,4,5] => [1,1,2,2,2]
[7,2,5,8,3,1,4,6] => [1,3,1,3]
[6,8,2,3,1,7,4,5] => [2,2,2,2]
[8,2,5,7,3,1,4,6] => [1,3,1,3]
[8,2,7,3,1,4,5,6] => [1,2,1,4]
[3,1,6,2,7,8,5,4] => [1,2,3,1,1]
[5,3,1,7,8,2,6,4] => [1,1,3,2,1]
[6,7,4,3,8,5,1,2] => [2,1,2,1,2]
[6,2,3,7,1,8,5,4] => [1,3,2,1,1]
[5,3,2,8,7,1,6,4] => [1,1,2,1,2,1]
[8,6,7,4,1,3,5,2] => [1,2,1,3,1]
[4,1,3,6,5,2,8,7] => [1,3,1,2,1]
[4,6,3,2,5,1,8,7] => [2,1,2,2,1]
[4,8,3,2,6,5,7,1] => [2,1,2,2,1]
[4,8,3,6,5,2,7,1] => [2,2,1,2,1]
[8,1,6,2,5,4,7,3] => [1,2,2,2,1]
[2,4,3,8,6,1,7,5] => [2,2,1,2,1]
[2,6,3,8,5,4,7,1] => [2,2,1,2,1]
[6,1,3,2,5,8,7,4] => [1,2,3,1,1]
[6,8,4,2,5,3,7,1] => [2,1,2,2,1]
[6,8,4,3,5,2,7,1] => [2,1,2,2,1]
[8,1,4,6,5,3,7,2] => [1,3,1,2,1]
[3,5,4,6,1,2,8,7] => [2,2,3,1]
[7,3,5,6,1,8,2,4] => [1,3,2,2]
[5,7,6,3,4,2,8,1] => [2,1,2,2,1]
[4,6,7,2,3,5,8,1] => [3,4,1]
[6,5,4,8,7,2,3,1] => [1,1,2,1,2,1]
[3,8,4,1,7,5,6,2] => [2,1,2,2,1]
[4,5,2,1,3,6,8,7] => [2,1,4,1]
[8,5,2,4,1,7,3,6] => [1,1,2,2,2]
[4,8,7,1,2,6,3,5] => [2,1,3,2]
[4,6,1,5,2,3,7,8] => [2,2,4]
[5,7,4,3,6,2,1,8] => [2,1,2,1,2]
[4,5,3,8,1,6,2,7] => [2,2,2,2]
[4,7,1,2,6,8,5,3] => [2,4,1,1]
[1,8,5,6,2,3,7,4] => [2,2,3,1]
[7,2,4,6,8,1,5,3] => [1,4,2,1]
[6,2,5,4,7,8,1,3] => [1,2,3,2]
[3,8,2,6,1,7,4,5] => [2,2,2,2]
[4,3,7,8,5,2,6,1] => [1,3,1,2,1]
[5,6,1,8,4,2,3,7] => [2,2,1,3]
[7,4,2,6,1,3,8,5] => [1,1,2,3,1]
[6,1,7,4,2,3,8,5] => [1,2,1,3,1]
[8,5,6,1,3,2,7,4] => [1,2,2,2,1]
[4,3,7,5,2,8,6,1] => [1,2,1,2,1,1]
[3,1,8,7,4,6,5,2] => [1,2,1,2,1,1]
[5,1,7,6,2,4,3,8] => [1,2,1,2,2]
[7,4,8,1,5,3,6,2] => [1,2,2,2,1]
[4,6,5,1,8,2,3,7] => [2,1,2,3]
[2,1,6,8,3,5,4,7] => [1,3,2,2]
[6,2,3,4,1,7,5,8] => [1,3,2,2]
[5,3,7,8,2,6,1,4] => [1,3,2,2]
[2,1,7,6,3,5,4,8] => [1,2,1,2,2]
[7,6,2,1,3,5,8,4] => [1,1,1,4,1]
[2,7,1,6,4,3,5,8] => [2,2,1,3]
[2,8,5,3,7,4,1,6] => [2,1,2,1,2]
[5,4,3,8,7,2,1,6] => [1,1,2,1,1,2]
[3,8,1,6,4,5,7,2] => [2,2,3,1]
[4,5,8,3,6,1,7,2] => [3,2,2,1]
[3,7,1,4,2,5,6,8] => [2,2,4]
[5,4,6,1,2,8,7,3] => [1,2,3,1,1]
[4,7,5,3,2,6,8,1] => [2,1,1,3,1]
[2,6,3,4,1,5,7,8] => [2,2,4]
[3,7,4,6,8,1,2,5] => [2,3,3]
[3,8,4,5,7,2,1,6] => [2,3,1,2]
[4,5,8,7,2,3,1,6] => [3,1,2,2]
[5,6,1,3,7,8,2,4] => [2,4,2]
[3,8,4,6,5,7,2,1] => [2,2,2,1,1]
[2,6,4,5,8,7,1,3] => [2,3,1,2]
[8,2,6,4,3,7,5,1] => [1,2,1,2,1,1]
[6,3,1,8,7,4,5,2] => [1,1,2,1,2,1]
[8,6,3,2,7,4,5,1] => [1,1,1,2,2,1]
[1,3,6,8,7,4,5,2] => [4,1,2,1]
[5,7,1,3,6,2,4,8] => [2,3,3]
[4,7,5,2,3,6,8,1] => [2,1,4,1]
[3,6,4,1,2,5,7,8] => [2,1,5]
[4,7,1,3,2,5,8,6] => [2,2,3,1]
[4,7,1,3,2,6,8,5] => [2,2,3,1]
[5,7,1,3,6,2,8,4] => [2,3,2,1]
[6,8,2,5,7,3,1,4] => [2,3,1,2]
[4,8,5,2,3,6,1,7] => [2,1,3,2]
[5,8,6,3,4,7,2,1] => [2,1,3,1,1]
[3,7,5,4,2,8,1,6] => [2,1,1,2,2]
[4,6,5,1,7,8,2,3] => [2,1,3,2]
[4,7,1,3,2,8,5,6] => [2,2,2,2]
[3,6,5,1,8,2,4,7] => [2,1,2,3]
[5,8,7,3,4,2,6,1] => [2,1,2,2,1]
[5,7,1,8,6,2,4,3] => [2,2,1,2,1]
[3,8,5,6,4,1,7,2] => [2,2,1,2,1]
[5,2,8,1,6,7,4,3] => [1,2,3,1,1]
[5,7,8,4,2,1,6,3] => [3,1,1,2,1]
[1,4,6,8,7,5,2,3] => [4,1,1,2]
[6,4,3,8,7,5,2,1] => [1,1,2,1,1,1,1]
[8,5,2,3,7,4,6,1] => [1,1,3,2,1]
[8,5,2,3,6,4,7,1] => [1,1,3,2,1]
[4,7,2,3,5,8,6,1] => [2,4,1,1]
[3,8,2,7,4,5,6,1] => [2,2,3,1]
[4,7,2,6,8,5,3,1] => [2,3,1,1,1]
[3,7,2,4,5,8,6,1] => [2,4,1,1]
[4,8,2,5,6,7,3,1] => [2,4,1,1]
[6,8,3,2,4,5,7,1] => [2,1,4,1]
[4,5,8,3,2,6,7,1] => [3,1,3,1]
[3,8,5,2,7,4,6,1] => [2,1,2,2,1]
[4,2,8,6,3,5,7,1] => [1,2,1,3,1]
[7,2,5,8,4,3,6,1] => [1,3,1,2,1]
[4,2,7,6,8,5,3,1] => [1,2,2,1,1,1]
[5,2,6,8,7,4,3,1] => [1,3,1,1,1,1]
[3,7,4,6,8,5,2,1] => [2,3,1,1,1]
[3,8,4,5,6,2,7,1] => [2,3,2,1]
[6,3,1,5,4,8,2,7] => [1,1,2,2,2]
[4,7,6,3,5,2,8,1] => [2,1,2,2,1]
[1,7,5,3,4,8,6,2] => [2,1,3,1,1]
[5,8,2,3,4,7,6,1] => [2,4,1,1]
[8,7,3,2,6,4,5,1] => [1,1,1,2,2,1]
[8,3,1,4,7,5,2,6] => [1,1,3,1,2]
[5,3,1,6,4,8,7,2] => [1,1,2,2,1,1]
[3,4,8,5,7,2,6,1] => [3,2,2,1]
[8,3,4,1,7,6,5,2] => [1,2,2,1,1,1]
[2,3,8,6,1,7,5,4] => [3,1,2,1,1]
[8,5,1,2,7,6,4,3] => [1,1,3,1,1,1]
[6,5,8,3,1,4,7,2] => [1,2,1,3,1]
[5,6,7,1,2,4,8,3] => [3,4,1]
[7,1,6,8,3,2,5,4] => [1,3,1,2,1]
[8,1,5,4,6,2,3,7] => [1,2,2,3]
[8,2,6,3,1,5,4,7] => [1,2,1,2,2]
[2,7,1,6,4,3,8,5] => [2,2,1,2,1]
[2,7,6,8,1,3,4,5] => [2,2,4]
[5,7,3,6,8,2,4,1] => [2,3,2,1]
[2,3,8,4,5,1,7,6] => [3,2,2,1]
[4,5,7,8,1,2,6,3] => [4,3,1]
[7,2,6,4,5,8,3,1] => [1,2,3,1,1]
[7,8,3,5,4,6,2,1] => [2,2,2,1,1]
[4,3,7,5,2,8,1,6] => [1,2,1,2,2]
[3,7,8,5,6,2,4,1] => [3,2,2,1]
[3,5,8,2,1,7,6,4] => [3,1,2,1,1]
[4,5,7,3,8,1,2,6] => [3,2,3]
[7,4,3,6,2,5,8,1] => [1,1,2,3,1]
[4,3,8,7,1,6,2,5] => [1,2,1,2,2]
[1,5,3,8,4,7,2,6] => [2,2,2,2]
[8,2,3,1,6,5,7,4] => [1,2,2,2,1]
[8,4,2,7,1,3,6,5] => [1,1,2,3,1]
[8,4,2,3,1,6,7,5] => [1,1,2,3,1]
[4,7,2,3,6,5,8,1] => [2,3,2,1]
[3,8,2,6,4,7,1,5] => [2,2,2,2]
[1,7,5,8,6,2,4,3] => [2,2,1,2,1]
[6,5,1,7,4,8,3,2] => [1,1,2,2,1,1]
[5,3,6,1,8,4,7,2] => [1,2,2,2,1]
[4,2,1,8,5,7,6,3] => [1,1,2,2,1,1]
[5,2,1,7,8,4,6,3] => [1,1,3,2,1]
[4,2,8,6,3,7,1,5] => [1,2,1,2,2]
[1,3,2,8,6,4,7,5] => [2,2,1,2,1]
[4,8,2,6,7,3,1,5] => [2,3,1,2]
[7,8,2,1,5,6,3,4] => [2,1,3,2]
[7,2,6,4,8,5,1,3] => [1,2,2,1,2]
[2,5,7,1,6,4,3,8] => [3,2,1,2]
[5,1,4,6,3,8,7,2] => [1,3,2,1,1]
[5,2,6,4,3,7,1,8] => [1,2,1,2,2]
[1,4,8,7,5,6,3,2] => [3,1,2,1,1]
[4,2,3,7,6,8,1,5] => [1,3,2,2]
[3,1,7,4,2,6,5,8] => [1,2,1,2,2]
[4,6,7,1,3,5,2,8] => [3,3,2]
[3,6,1,4,8,5,7,2] => [2,3,2,1]
[7,3,2,6,4,1,5,8] => [1,1,2,1,3]
[6,2,7,5,3,4,8,1] => [1,2,1,3,1]
[3,2,4,8,1,7,5,6] => [1,3,2,2]
[7,6,3,5,1,4,8,2] => [1,1,2,3,1]
[6,5,4,1,7,2,3,8] => [1,1,1,2,3]
[8,3,6,1,7,4,5,2] => [1,2,2,2,1]
[7,1,2,6,4,8,3,5] => [1,3,2,2]
[3,5,1,8,6,2,4,7] => [2,2,1,3]
[5,4,6,2,1,8,3,7] => [1,2,1,2,2]
[5,6,4,8,1,2,3,7] => [2,2,4]
[4,6,1,3,7,8,2,5] => [2,4,2]
[5,4,7,3,8,6,2,1] => [1,2,2,1,1,1]
[2,7,5,6,1,3,8,4] => [2,2,3,1]
[7,2,4,5,1,6,8,3] => [1,3,3,1]
[4,2,5,8,7,6,1,3] => [1,3,1,1,2]
[4,7,2,5,8,6,1,3] => [2,3,1,2]
[1,8,7,5,4,6,2,3] => [2,1,1,2,2]
[3,8,1,4,7,5,6,2] => [2,3,2,1]
[6,4,1,5,3,8,7,2] => [1,1,2,2,1,1]
[8,1,6,7,4,5,3,2] => [1,3,2,1,1]
[4,6,7,2,3,5,1,8] => [3,3,2]
[8,6,1,4,7,5,3,2] => [1,1,3,1,1,1]
[8,1,6,4,7,5,3,2] => [1,2,2,1,1,1]
[6,4,8,1,5,3,7,2] => [1,2,2,2,1]
[2,6,3,8,1,5,7,4] => [2,2,3,1]
[4,1,3,8,6,7,5,2] => [1,3,2,1,1]
[4,8,5,2,3,7,1,6] => [2,1,3,2]
[4,8,6,1,3,7,5,2] => [2,1,3,1,1]
[6,2,4,7,5,1,3,8] => [1,3,1,3]
[8,2,4,5,7,1,3,6] => [1,4,3]
[5,1,8,6,3,7,2,4] => [1,2,1,2,2]
[8,1,3,7,4,6,2,5] => [1,3,2,2]
[8,1,5,7,4,3,6,2] => [1,3,1,2,1]
[8,3,6,2,7,1,4,5] => [1,2,2,3]
[3,1,4,7,5,2,6,8] => [1,3,1,3]
[7,1,4,6,2,3,5,8] => [1,3,4]
[1,6,4,3,5,8,2,7] => [2,1,3,2]
[5,1,4,3,7,8,6,2] => [1,2,3,1,1]
[6,4,1,5,8,2,3,7] => [1,1,3,3]
[5,7,6,2,1,8,4,3] => [2,1,1,2,1,1]
[5,7,1,8,6,3,2,4] => [2,2,1,1,2]
[5,8,1,6,3,2,7,4] => [2,2,1,2,1]
[7,4,6,8,2,5,1,3] => [1,3,2,2]
[2,7,6,3,5,1,8,4] => [2,1,2,2,1]
[8,4,3,1,6,7,2,5] => [1,1,1,3,2]
[2,8,7,5,3,4,6,1] => [2,1,1,3,1]
[5,7,6,3,4,2,1,8] => [2,1,2,1,2]
[1,5,7,3,4,2,6,8] => [3,2,3]
[2,5,7,6,3,4,1,8] => [3,1,2,2]
[4,6,5,1,7,8,3,2] => [2,1,3,1,1]
[2,1,6,4,3,7,5,8] => [1,2,1,2,2]
[2,6,7,3,5,1,4,8] => [3,2,3]
[8,4,7,6,1,3,2,5] => [1,2,1,2,2]
[5,6,2,4,7,1,3,8] => [2,3,3]
[5,7,8,1,3,6,2,4] => [3,3,2]
[4,1,3,7,6,5,2,8] => [1,3,1,1,2]
[3,4,1,7,2,6,5,8] => [2,2,2,2]
[2,8,3,5,1,6,7,4] => [2,2,3,1]
[3,4,6,2,7,5,1,8] => [3,2,1,2]
[4,3,6,1,2,7,8,5] => [1,2,4,1]
[3,7,6,2,5,1,8,4] => [2,1,2,2,1]
[3,4,1,8,7,2,5,6] => [2,2,1,3]
[2,7,8,6,4,3,1,5] => [3,1,1,1,2]
[5,7,6,2,1,3,4,8] => [2,1,1,4]
[2,7,4,3,6,1,5,8] => [2,1,2,3]
[4,7,2,5,3,1,6,8] => [2,2,1,3]
[4,1,6,5,3,2,8,7] => [1,2,1,1,2,1]
[7,4,3,6,1,8,2,5] => [1,1,2,2,2]
[6,8,5,3,2,4,7,1] => [2,1,1,3,1]
[2,5,7,4,6,1,8,3] => [3,2,2,1]
[5,8,3,4,6,2,7,1] => [2,3,2,1]
[7,8,6,1,5,4,2,3] => [2,1,2,1,2]
[7,3,6,1,5,2,8,4] => [1,2,2,2,1]
[8,6,3,4,1,5,7,2] => [1,1,2,3,1]
[5,8,3,6,7,2,4,1] => [2,3,2,1]
[8,1,6,2,5,7,4,3] => [1,2,3,1,1]
[2,7,1,5,3,6,8,4] => [2,2,3,1]
[6,8,7,3,4,2,5,1] => [2,1,2,2,1]
[1,8,6,2,4,7,5,3] => [2,1,3,1,1]
[4,1,6,3,2,8,7,5] => [1,2,1,2,1,1]
[2,4,1,8,7,5,6,3] => [2,2,1,2,1]
[2,8,7,5,1,4,6,3] => [2,1,1,3,1]
[5,7,3,6,4,2,1,8] => [2,2,1,1,2]
[5,7,3,6,4,1,8,2] => [2,2,1,2,1]
[3,7,5,6,4,1,8,2] => [2,2,1,2,1]
[2,8,1,4,5,3,6,7] => [2,3,3]
[6,2,5,3,8,1,7,4] => [1,2,2,2,1]
[5,3,2,6,7,8,1,4] => [1,1,4,2]
[8,4,5,7,3,2,1,6] => [1,3,1,1,2]
[7,4,6,5,3,2,1,8] => [1,2,1,1,1,2]
[7,5,1,3,4,2,8,6] => [1,1,3,2,1]
[2,8,5,7,3,4,6,1] => [2,2,3,1]
[8,5,1,3,4,2,6,7] => [1,1,3,3]
[6,1,5,3,4,2,7,8] => [1,2,2,3]
[5,2,3,6,4,7,1,8] => [1,3,2,2]
[6,8,4,5,3,2,1,7] => [2,2,1,1,2]
[2,8,7,4,3,6,5,1] => [2,1,1,2,1,1]
[4,8,1,3,5,2,6,7] => [2,3,3]
[2,1,3,8,5,4,6,7] => [1,3,1,3]
[5,3,6,8,2,4,1,7] => [1,3,2,2]
[1,7,8,6,3,2,4,5] => [3,1,1,3]
[7,1,2,5,3,8,4,6] => [1,3,2,2]
[3,7,4,2,5,1,8,6] => [2,1,2,2,1]
[1,8,3,4,5,7,2,6] => [2,4,2]
[7,5,8,2,3,4,6,1] => [1,2,4,1]
[4,7,5,8,2,3,6,1] => [2,2,3,1]
[2,6,7,5,3,8,1,4] => [3,1,2,2]
[4,5,2,6,8,7,1,3] => [2,3,1,2]
[4,5,2,6,8,3,1,7] => [2,3,1,2]
[4,6,5,7,2,1,3,8] => [2,2,1,3]
[6,7,5,2,1,4,3,8] => [2,1,1,2,2]
[3,1,2,5,8,6,7,4] => [1,4,2,1]
[7,6,2,5,4,3,8,1] => [1,1,2,1,2,1]
[8,2,6,7,3,5,4,1] => [1,3,2,1,1]
[4,1,2,5,7,8,6,3] => [1,5,1,1]
[4,5,7,6,2,1,3,8] => [3,1,1,3]
[7,8,2,6,5,4,3,1] => [2,2,1,1,1,1]
[5,3,7,8,4,2,1,6] => [1,3,1,1,2]
[7,3,6,8,1,5,4,2] => [1,3,2,1,1]
[3,4,6,7,2,5,1,8] => [4,2,2]
[7,5,8,2,4,3,6,1] => [1,2,2,2,1]
[6,5,8,2,3,4,1,7] => [1,2,3,2]
[8,1,5,3,4,6,2,7] => [1,2,3,2]
[5,8,7,2,4,3,6,1] => [2,1,2,2,1]
[1,7,2,4,8,5,6,3] => [2,3,2,1]
[5,8,2,3,7,4,6,1] => [2,3,2,1]
[7,8,2,3,5,4,6,1] => [2,3,2,1]
[8,4,1,3,2,6,5,7] => [1,1,2,2,2]
[8,7,2,3,5,4,6,1] => [1,1,3,2,1]
[1,7,6,8,4,5,3,2] => [2,2,2,1,1]
[2,7,3,1,8,5,6,4] => [2,1,2,2,1]
[3,8,5,2,1,6,7,4] => [2,1,1,3,1]
[6,4,5,2,1,8,7,3] => [1,2,1,2,1,1]
[7,4,1,3,8,6,2,5] => [1,1,3,1,2]
[6,1,2,4,7,8,5,3] => [1,5,1,1]
[4,3,8,6,1,5,7,2] => [1,2,1,3,1]
[2,6,3,4,8,5,7,1] => [2,3,2,1]
[5,3,8,2,1,7,4,6] => [1,2,1,2,2]
[6,5,4,2,3,8,7,1] => [1,1,1,3,1,1]
[1,5,3,4,2,8,6,7] => [2,2,2,2]
[5,6,4,1,2,8,3,7] => [2,1,3,2]
[2,8,6,1,5,7,4,3] => [2,1,3,1,1]
[8,3,5,1,7,6,4,2] => [1,2,2,1,1,1]
[8,3,5,4,7,1,6,2] => [1,2,2,2,1]
[6,4,1,5,7,8,2,3] => [1,1,4,2]
[4,8,7,1,2,5,3,6] => [2,1,3,2]
[8,7,2,6,1,4,3,5] => [1,1,2,2,2]
[6,1,7,3,8,2,4,5] => [1,2,2,3]
[7,1,8,6,4,2,3,5] => [1,2,1,1,3]
[1,5,6,4,3,8,2,7] => [3,1,2,2]
[4,1,3,5,8,2,6,7] => [1,4,3]
[1,6,2,4,5,3,8,7] => [2,3,2,1]
[1,8,2,4,6,5,7,3] => [2,3,2,1]
[1,8,2,6,4,3,7,5] => [2,2,1,2,1]
[1,6,4,3,8,7,2,5] => [2,1,2,1,2]
[8,4,6,1,5,7,2,3] => [1,2,3,2]
[3,8,2,4,6,5,7,1] => [2,3,2,1]
[8,4,2,1,6,5,7,3] => [1,1,1,2,2,1]
[6,8,7,1,4,2,3,5] => [2,1,2,3]
[6,8,7,4,5,2,1,3] => [2,1,2,1,2]
[1,8,5,7,4,6,3,2] => [2,2,2,1,1]
[1,4,7,6,8,3,5,2] => [3,2,2,1]
[1,7,2,8,6,5,3,4] => [2,2,1,1,2]
[5,7,1,6,4,2,3,8] => [2,2,1,3]
[4,8,2,7,5,1,6,3] => [2,2,1,2,1]
[2,8,4,6,7,1,5,3] => [2,3,2,1]
[3,8,5,1,4,2,6,7] => [2,1,2,3]
[1,7,6,2,5,3,8,4] => [2,1,2,2,1]
[1,7,5,2,4,3,8,6] => [2,1,2,2,1]
[2,8,5,1,4,3,6,7] => [2,1,2,3]
[7,1,2,4,5,3,8,6] => [1,4,2,1]
[7,6,8,1,2,4,5,3] => [1,2,4,1]
[7,1,3,5,2,4,8,6] => [1,3,3,1]
[2,5,7,1,3,6,8,4] => [3,4,1]
[3,6,5,2,8,4,7,1] => [2,1,2,2,1]
[3,8,7,1,4,6,2,5] => [2,1,3,2]
[3,4,8,6,1,7,2,5] => [3,1,2,2]
[4,7,6,2,3,5,8,1] => [2,1,4,1]
[4,7,1,6,2,5,8,3] => [2,2,3,1]
[5,4,1,8,2,6,7,3] => [1,1,2,3,1]
[2,7,6,1,5,3,4,8] => [2,1,2,3]
[7,2,4,5,3,8,6,1] => [1,3,2,1,1]
[2,7,1,4,6,5,8,3] => [2,3,2,1]
[6,3,5,7,8,4,1,2] => [1,4,1,2]
[7,6,3,5,4,8,2,1] => [1,1,2,2,1,1]
[4,2,6,8,3,7,5,1] => [1,3,2,1,1]
[5,4,8,1,3,6,2,7] => [1,2,3,2]
[5,2,4,8,3,6,7,1] => [1,3,3,1]
[3,4,2,5,7,1,6,8] => [2,3,3]
[3,2,4,6,1,7,5,8] => [1,3,2,2]
[3,7,6,2,1,5,4,8] => [2,1,1,2,2]
[2,6,8,3,4,1,5,7] => [3,2,3]
[3,1,6,5,8,4,2,7] => [1,2,2,1,2]
[2,7,1,4,8,5,3,6] => [2,3,1,2]
[5,1,3,8,6,4,7,2] => [1,3,1,2,1]
[1,5,6,7,4,2,8,3] => [4,1,2,1]
[6,1,7,8,3,5,4,2] => [1,3,2,1,1]
[6,4,1,3,5,7,8,2] => [1,1,5,1]
[4,3,5,7,8,6,1,2] => [1,4,1,2]
[7,2,1,3,6,4,5,8] => [1,1,3,3]
[7,4,3,6,1,5,8,2] => [1,1,2,3,1]
[6,2,1,3,5,7,8,4] => [1,1,5,1]
[2,3,7,6,1,4,5,8] => [3,1,4]
[7,8,2,1,3,5,6,4] => [2,1,4,1]
[3,6,2,1,5,7,8,4] => [2,1,4,1]
[7,2,4,1,5,6,3,8] => [1,2,3,2]
[3,1,2,5,7,6,8,4] => [1,4,2,1]
[5,1,7,3,2,6,8,4] => [1,2,1,3,1]
[4,7,2,3,5,1,6,8] => [2,3,3]
[4,8,2,3,7,5,1,6] => [2,3,1,2]
[8,7,2,4,3,5,6,1] => [1,1,2,3,1]
[8,6,2,4,3,5,1,7] => [1,1,2,2,2]
[8,1,2,4,7,3,5,6] => [1,4,3]
[7,6,2,8,4,5,1,3] => [1,1,2,2,2]
[2,5,7,3,1,6,4,8] => [3,1,2,2]
[8,2,6,4,3,7,1,5] => [1,2,1,2,2]
[2,4,3,6,1,5,7,8] => [2,2,4]
[8,7,3,4,2,1,6,5] => [1,1,2,1,2,1]
[4,5,6,8,2,1,3,7] => [4,1,3]
[8,7,1,3,6,4,5,2] => [1,1,3,2,1]
[2,1,5,7,4,6,3,8] => [1,3,2,2]
[6,8,1,5,7,3,2,4] => [2,3,1,2]
[8,2,3,5,7,6,1,4] => [1,4,1,2]
[5,8,6,1,2,3,7,4] => [2,1,4,1]
[5,4,8,6,1,3,7,2] => [1,2,1,3,1]
[8,4,5,6,7,1,3,2] => [1,4,2,1]
[7,8,4,6,5,2,1,3] => [2,2,1,1,2]
[7,2,6,4,1,5,8,3] => [1,2,1,3,1]
[5,2,7,1,6,3,8,4] => [1,2,2,2,1]
[1,7,2,5,3,6,8,4] => [2,2,3,1]
[7,4,6,3,2,5,1,8] => [1,2,1,2,2]
[6,2,5,7,1,8,3,4] => [1,3,2,2]
[4,1,3,5,7,2,6,8] => [1,4,3]
[4,1,8,2,7,6,5,3] => [1,2,2,1,1,1]
[1,5,8,4,3,6,2,7] => [3,1,2,2]
[1,5,2,6,7,4,8,3] => [2,3,2,1]
[6,1,7,3,2,5,4,8] => [1,2,1,2,2]
[1,6,5,3,8,7,4,2] => [2,1,2,1,1,1]
[4,1,7,5,6,8,2,3] => [1,2,3,2]
[7,8,2,3,1,4,6,5] => [2,2,3,1]
[6,2,3,8,1,4,7,5] => [1,3,3,1]
[5,2,7,6,1,4,8,3] => [1,2,1,3,1]
[3,7,6,2,1,4,5,8] => [2,1,1,4]
[4,2,1,6,7,5,8,3] => [1,1,3,2,1]
[5,1,7,6,4,3,8,2] => [1,2,1,1,2,1]
[1,5,8,3,7,2,4,6] => [3,2,3]
[5,8,2,6,7,3,1,4] => [2,3,1,2]
[4,7,2,3,6,1,5,8] => [2,3,3]
[5,1,3,7,6,8,2,4] => [1,3,2,2]
[1,6,8,7,2,5,4,3] => [3,1,2,1,1]
[3,4,1,6,5,2,8,7] => [2,2,1,2,1]
[4,2,3,6,1,7,5,8] => [1,3,2,2]
[5,3,1,6,7,2,8,4] => [1,1,3,2,1]
[4,1,8,5,3,7,6,2] => [1,2,1,2,1,1]
[3,8,4,5,2,6,1,7] => [2,2,2,2]
[5,1,6,8,7,4,3,2] => [1,3,1,1,1,1]
[3,8,2,4,5,6,1,7] => [2,4,2]
[1,4,8,7,6,3,5,2] => [3,1,1,2,1]
[8,1,6,3,7,5,2,4] => [1,2,2,1,2]
[4,5,8,6,2,3,1,7] => [3,1,2,2]
[5,4,7,1,8,2,3,6] => [1,2,2,3]
[5,1,3,6,2,8,4,7] => [1,3,2,2]
[4,3,2,7,6,8,1,5] => [1,1,2,2,2]
[4,8,3,2,1,6,5,7] => [2,1,1,2,2]
[1,4,3,2,7,5,6,8] => [2,1,2,3]
[4,3,2,8,6,7,1,5] => [1,1,2,2,2]
[4,3,1,2,5,7,8,6] => [1,1,5,1]
[2,5,3,6,1,4,8,7] => [2,2,3,1]
[3,4,2,1,5,8,6,7] => [2,1,3,2]
[2,5,3,7,1,4,8,6] => [2,2,3,1]
[2,5,3,6,1,7,8,4] => [2,2,3,1]
[5,4,3,1,7,6,8,2] => [1,1,1,2,2,1]
[4,5,2,7,1,8,3,6] => [2,2,2,2]
[6,5,2,8,7,4,1,3] => [1,1,2,1,1,2]
[3,1,8,4,5,2,7,6] => [1,2,2,2,1]
[2,3,7,6,1,8,4,5] => [3,1,2,2]
[4,8,5,2,1,3,7,6] => [2,1,1,3,1]
[5,8,4,2,1,3,7,6] => [2,1,1,3,1]
[4,6,7,5,2,3,1,8] => [3,1,2,2]
[6,2,5,3,1,8,7,4] => [1,2,1,2,1,1]
[6,2,5,3,8,7,1,4] => [1,2,2,1,2]
[6,4,5,3,8,7,1,2] => [1,2,2,1,2]
[1,6,4,5,8,7,3,2] => [2,3,1,1,1]
[8,4,7,5,2,3,1,6] => [1,2,1,2,2]
[8,2,7,4,5,3,1,6] => [1,2,2,1,2]
[8,2,4,7,5,3,1,6] => [1,3,1,1,2]
[8,2,6,7,5,3,1,4] => [1,3,1,1,2]
[8,4,6,7,5,3,1,2] => [1,3,1,1,2]
[6,4,5,8,7,3,1,2] => [1,3,1,1,2]
[6,2,8,7,5,3,1,4] => [1,2,1,1,1,2]
[4,6,5,3,8,7,1,2] => [2,1,2,1,2]
[6,7,2,4,5,3,1,8] => [2,3,1,2]
[6,8,7,4,5,3,1,2] => [2,1,2,1,2]
[2,8,4,7,5,3,1,6] => [2,2,1,1,2]
[5,8,7,4,6,3,1,2] => [2,1,2,1,2]
[6,5,8,4,7,2,1,3] => [1,2,2,1,2]
[4,8,6,2,5,7,1,3] => [2,1,3,2]
[8,1,6,2,5,7,3,4] => [1,2,3,2]
[6,8,1,2,4,7,3,5] => [2,4,2]
[8,1,5,3,2,7,4,6] => [1,2,1,2,2]
[5,2,8,6,1,4,7,3] => [1,2,1,3,1]
[8,6,1,3,4,7,2,5] => [1,1,4,2]
[5,3,7,8,1,2,6,4] => [1,3,3,1]
[8,6,1,3,7,4,2,5] => [1,1,3,1,2]
[6,1,2,8,3,7,5,4] => [1,3,2,1,1]
[7,8,1,2,6,4,3,5] => [2,3,1,2]
[8,7,2,5,3,4,1,6] => [1,1,2,2,2]
[4,6,2,3,8,7,1,5] => [2,3,1,2]
[6,7,4,2,8,5,1,3] => [2,1,2,1,2]
[6,4,2,8,5,7,1,3] => [1,1,2,2,2]
[8,3,7,6,2,5,4,1] => [1,2,1,2,1,1]
[8,6,1,2,5,4,7,3] => [1,1,3,2,1]
[8,7,1,2,5,6,4,3] => [1,1,4,1,1]
[4,6,1,3,5,8,2,7] => [2,4,2]
[4,5,1,3,8,7,2,6] => [2,3,1,2]
[6,2,7,1,8,3,4,5] => [1,2,2,3]
[6,4,5,8,1,7,2,3] => [1,3,2,2]
[6,2,8,5,1,4,7,3] => [1,2,1,3,1]
[2,4,7,6,1,8,3,5] => [3,1,2,2]
[7,4,5,8,6,3,2,1] => [1,3,1,1,1,1]
[1,6,2,3,8,5,7,4] => [2,3,2,1]
[1,6,3,2,5,4,8,7] => [2,1,2,2,1]
[7,1,3,4,5,2,6,8] => [1,4,3]
[7,3,1,6,5,8,2,4] => [1,1,2,2,2]
[6,1,2,7,4,3,5,8] => [1,3,1,3]
[2,7,3,6,5,8,4,1] => [2,2,2,1,1]
[1,6,7,5,3,2,8,4] => [3,1,1,2,1]
[7,3,4,6,1,8,2,5] => [1,3,2,2]
[3,7,4,1,2,8,6,5] => [2,1,3,1,1]
[3,7,4,1,2,6,8,5] => [2,1,4,1]
[5,7,1,2,4,6,8,3] => [2,5,1]
[7,4,1,3,6,8,2,5] => [1,1,4,2]
[6,8,1,2,7,3,4,5] => [2,3,3]
[1,6,2,8,7,3,4,5] => [2,2,1,3]
[1,6,8,5,7,4,3,2] => [3,2,1,1,1]
[3,8,1,2,4,7,6,5] => [2,4,1,1]
[1,4,5,7,3,6,8,2] => [4,3,1]
[4,6,8,7,1,5,3,2] => [3,1,2,1,1]
[1,3,8,7,5,2,6,4] => [3,1,1,2,1]
[8,7,6,4,1,3,5,2] => [1,1,1,1,3,1]
[3,2,1,6,4,5,8,7] => [1,1,2,3,1]
[3,2,4,5,7,1,8,6] => [1,4,2,1]
[3,2,4,6,1,7,8,5] => [1,3,3,1]
[3,2,4,6,1,8,5,7] => [1,3,2,2]
[2,3,8,1,4,6,5,7] => [3,3,2]
[3,6,2,4,7,5,8,1] => [2,3,2,1]
[3,1,8,4,6,2,5,7] => [1,2,2,3]
[4,2,7,3,5,8,1,6] => [1,2,3,2]
[3,1,8,4,5,6,2,7] => [1,2,3,2]
[4,2,7,8,6,3,1,5] => [1,3,1,1,2]
[7,1,4,2,8,6,3,5] => [1,2,2,1,2]
[2,3,7,4,8,1,6,5] => [3,2,2,1]
[7,1,3,6,8,4,5,2] => [1,4,2,1]
[7,4,3,1,2,6,8,5] => [1,1,1,4,1]
[1,6,3,5,8,7,4,2] => [2,3,1,1,1]
[8,4,6,3,5,1,7,2] => [1,2,2,2,1]
[7,3,2,6,8,4,5,1] => [1,1,3,2,1]
[2,4,5,7,1,6,8,3] => [4,3,1]
[8,4,2,6,7,3,5,1] => [1,1,3,2,1]
[1,4,2,7,5,6,3,8] => [2,2,2,2]
[8,1,7,6,3,5,2,4] => [1,2,1,2,2]
[4,3,2,8,7,5,6,1] => [1,1,2,1,2,1]
[5,2,4,8,7,3,6,1] => [1,3,1,2,1]
[1,3,8,7,4,5,2,6] => [3,1,2,2]
[5,1,4,2,6,3,7,8] => [1,2,2,3]
[7,1,2,4,6,3,5,8] => [1,4,3]
[1,6,5,2,4,3,7,8] => [2,1,2,3]
[1,6,5,3,4,7,2,8] => [2,1,3,2]
[7,8,2,3,5,6,4,1] => [2,4,1,1]
[7,1,3,4,6,5,2,8] => [1,4,1,2]
[6,1,3,5,4,7,2,8] => [1,3,2,2]
[4,1,5,7,8,6,2,3] => [1,4,1,2]
[6,1,4,8,2,3,7,5] => [1,3,3,1]
[7,6,2,3,5,8,4,1] => [1,1,4,1,1]
[2,8,5,7,6,3,4,1] => [2,2,1,2,1]
[2,5,7,8,6,4,1,3] => [4,1,1,2]
[7,4,1,6,2,5,8,3] => [1,1,2,3,1]
[8,7,4,6,2,5,3,1] => [1,1,2,2,1,1]
[8,1,7,4,6,5,2,3] => [1,2,2,1,2]
[8,4,1,7,6,2,5,3] => [1,1,2,1,2,1]
[1,7,5,4,6,2,3,8] => [2,1,2,3]
[6,2,7,5,3,1,4,8] => [1,2,1,1,3]
[6,1,7,4,8,5,2,3] => [1,2,2,1,2]
[8,2,4,6,3,1,7,5] => [1,3,1,2,1]
[7,4,1,8,6,2,5,3] => [1,1,2,1,2,1]
[1,8,6,2,7,5,3,4] => [2,1,2,1,2]
[2,8,5,1,7,6,3,4] => [2,1,2,1,2]
[4,8,7,1,6,2,5,3] => [2,1,2,2,1]
[5,2,8,6,4,3,1,7] => [1,2,1,1,1,2]
[1,8,3,7,5,4,2,6] => [2,2,1,1,2]
[3,8,7,1,6,2,4,5] => [2,1,2,3]
[2,8,4,3,1,7,5,6] => [2,1,1,2,2]
[5,6,2,4,8,7,3,1] => [2,3,1,1,1]
[3,6,5,8,4,1,2,7] => [2,2,1,3]
[8,5,6,2,3,7,4,1] => [1,2,3,1,1]
[7,8,1,4,5,6,2,3] => [2,4,2]
[2,7,1,4,5,6,8,3] => [2,5,1]
[5,4,7,8,6,2,3,1] => [1,3,1,2,1]
[3,7,5,6,4,8,2,1] => [2,2,2,1,1]
[7,4,8,3,5,6,2,1] => [1,2,3,1,1]
[3,1,8,6,4,5,7,2] => [1,2,1,3,1]
[2,6,1,4,7,5,8,3] => [2,3,2,1]
[3,1,5,7,2,6,8,4] => [1,3,3,1]
[3,1,7,5,2,6,8,4] => [1,2,1,3,1]
[3,2,7,5,1,6,8,4] => [1,2,1,3,1]
[5,2,7,3,1,6,8,4] => [1,2,1,3,1]
[6,7,2,1,3,4,8,5] => [2,1,4,1]
[4,6,3,1,2,7,8,5] => [2,1,4,1]
[5,3,4,6,8,1,7,2] => [1,4,2,1]
[4,5,6,8,2,7,1,3] => [4,2,2]
[1,7,2,5,8,4,6,3] => [2,3,2,1]
[4,7,1,3,8,5,2,6] => [2,3,1,2]
[2,5,3,8,7,1,4,6] => [2,2,1,3]
[5,1,3,7,6,8,4,2] => [1,3,2,1,1]
[5,7,2,4,6,8,3,1] => [2,4,1,1]
[8,2,6,4,3,1,5,7] => [1,2,1,1,3]
[2,3,5,6,8,4,7,1] => [5,2,1]
[2,4,5,8,3,6,7,1] => [4,3,1]
[3,1,6,4,2,7,5,8] => [1,2,1,2,2]
[4,5,7,8,3,6,1,2] => [4,2,2]
[8,4,6,2,5,3,1,7] => [1,2,2,1,2]
[4,1,7,5,3,6,8,2] => [1,2,1,3,1]
[7,3,8,5,1,6,2,4] => [1,2,1,2,2]
[4,6,3,1,2,5,8,7] => [2,1,4,1]
[1,6,5,3,4,2,7,8] => [2,1,2,3]
[1,7,5,4,2,3,8,6] => [2,1,1,3,1]
[8,1,6,5,4,2,3,7] => [1,2,1,1,3]
[5,1,7,6,4,8,2,3] => [1,2,1,2,2]
[5,7,3,6,2,4,8,1] => [2,2,3,1]
[2,3,7,1,4,6,8,5] => [3,4,1]
[2,6,5,1,7,4,8,3] => [2,1,2,2,1]
[5,7,1,6,2,4,8,3] => [2,2,3,1]
[6,1,2,4,7,5,8,3] => [1,4,2,1]
[4,6,1,7,5,3,8,2] => [2,2,1,2,1]
[6,1,7,5,3,4,8,2] => [1,2,1,3,1]
[4,5,8,7,6,3,1,2] => [3,1,1,1,2]
[8,7,4,6,5,3,1,2] => [1,1,2,1,1,2]
[5,2,8,3,6,1,7,4] => [1,2,2,2,1]
[8,1,4,3,6,2,5,7] => [1,2,2,3]
[5,2,3,6,8,1,4,7] => [1,4,3]
[4,5,7,8,2,3,1,6] => [4,2,2]
[6,7,1,2,4,3,5,8] => [2,3,3]
[5,3,7,2,1,6,4,8] => [1,2,1,2,2]
[7,1,2,8,6,3,4,5] => [1,3,1,3]
[8,7,1,3,5,6,4,2] => [1,1,4,1,1]
[8,1,4,6,7,5,3,2] => [1,4,1,1,1]
[4,6,8,1,7,5,3,2] => [3,2,1,1,1]
[8,1,5,7,6,4,3,2] => [1,3,1,1,1,1]
[6,1,5,7,4,2,3,8] => [1,3,1,3]
[1,4,7,8,3,6,5,2] => [4,2,1,1]
[1,4,6,7,5,2,3,8] => [4,1,3]
[1,3,5,8,2,6,4,7] => [4,2,2]
[4,7,1,3,5,2,8,6] => [2,3,2,1]
[1,6,3,7,8,4,2,5] => [2,3,1,2]
[5,3,8,4,6,7,2,1] => [1,2,3,1,1]
[4,3,5,8,6,7,2,1] => [1,3,2,1,1]
[3,2,7,8,5,6,4,1] => [1,3,2,1,1]
[4,7,3,8,5,6,2,1] => [2,2,2,1,1]
[7,1,4,8,5,6,3,2] => [1,3,2,1,1]
[4,3,8,7,2,5,6,1] => [1,2,1,3,1]
[1,7,3,8,6,4,5,2] => [2,2,1,2,1]
[7,4,2,8,5,6,3,1] => [1,1,2,2,1,1]
[3,4,8,2,6,7,5,1] => [3,3,1,1]
[1,6,3,8,7,4,5,2] => [2,2,1,2,1]
[1,4,5,8,7,6,2,3] => [4,1,1,2]
[5,2,1,3,8,4,6,7] => [1,1,3,3]
[1,4,3,5,8,2,6,7] => [2,3,3]
[2,1,3,8,6,4,5,7] => [1,3,1,3]
[1,3,6,4,5,8,2,7] => [3,3,2]
[6,1,4,3,5,8,2,7] => [1,2,3,2]
[6,5,1,3,8,2,4,7] => [1,1,3,3]
[1,4,3,8,6,2,5,7] => [2,2,1,3]
[4,1,3,8,6,2,5,7] => [1,3,1,3]
[8,3,5,6,2,1,7,4] => [1,3,1,2,1]
[3,5,8,7,6,1,4,2] => [3,1,1,2,1]
[7,1,5,4,6,3,8,2] => [1,2,2,2,1]
[7,3,6,5,4,8,2,1] => [1,2,1,2,1,1]
[6,4,7,8,3,5,1,2] => [1,3,2,2]
[3,5,6,7,1,8,4,2] => [4,2,1,1]
[2,5,3,1,4,6,7,8] => [2,1,5]
[2,7,8,3,6,1,5,4] => [3,2,2,1]
[1,7,8,3,6,2,5,4] => [3,2,2,1]
[7,4,3,5,8,1,6,2] => [1,1,3,2,1]
[7,3,6,4,1,8,5,2] => [1,2,1,2,1,1]
[7,8,4,3,6,1,5,2] => [2,1,2,2,1]
[7,1,6,4,3,8,5,2] => [1,2,1,2,1,1]
[8,7,3,4,1,5,2,6] => [1,1,2,2,2]
[7,2,6,4,3,8,5,1] => [1,2,1,2,1,1]
[1,7,5,4,3,8,2,6] => [2,1,1,2,2]
[7,4,5,1,8,2,6,3] => [1,2,2,2,1]
[6,3,1,2,8,5,4,7] => [1,1,3,1,2]
[1,6,4,8,5,2,3,7] => [2,2,1,3]
[2,6,3,8,4,5,1,7] => [2,2,2,2]
[7,3,6,4,2,5,8,1] => [1,2,1,3,1]
[7,2,8,5,3,6,1,4] => [1,2,1,2,2]
[5,8,6,4,2,7,1,3] => [2,1,1,2,2]
[7,1,5,3,8,2,4,6] => [1,2,2,3]
[1,3,8,7,6,4,5,2] => [3,1,1,2,1]
[1,6,4,5,2,8,3,7] => [2,2,2,2]
[2,8,3,4,6,7,1,5] => [2,4,2]
[7,2,3,4,6,1,5,8] => [1,4,3]
[4,5,1,6,3,8,7,2] => [2,2,2,1,1]
[3,7,5,2,8,1,6,4] => [2,1,2,2,1]
[7,2,1,6,3,8,4,5] => [1,1,2,2,2]
[4,5,8,1,7,3,2,6] => [3,2,1,2]
[4,6,7,1,3,8,2,5] => [3,3,2]
[2,6,3,1,4,7,8,5] => [2,1,4,1]
[2,7,3,4,1,8,5,6] => [2,2,2,2]
[4,8,5,3,2,1,6,7] => [2,1,1,1,3]
[8,5,3,2,7,4,6,1] => [1,1,1,2,2,1]
[4,8,7,1,5,6,2,3] => [2,1,3,2]
[8,6,3,7,4,5,2,1] => [1,1,2,2,1,1]
[7,4,3,6,8,5,2,1] => [1,1,3,1,1,1]
[7,2,6,8,5,3,4,1] => [1,3,1,2,1]
[6,8,2,7,5,3,4,1] => [2,2,1,2,1]
[7,8,2,6,5,3,4,1] => [2,2,1,2,1]
[2,5,3,4,7,8,6,1] => [2,4,1,1]
[2,6,7,8,3,5,4,1] => [4,2,1,1]
[8,4,6,5,1,3,7,2] => [1,2,1,3,1]
[7,5,8,2,4,3,1,6] => [1,2,2,1,2]
[4,7,8,6,1,5,3,2] => [3,1,2,1,1]
[1,4,3,5,7,2,6,8] => [2,3,3]
[2,3,7,8,1,4,6,5] => [4,3,1]
[8,2,3,5,4,1,7,6] => [1,3,1,2,1]
[7,1,3,8,2,4,6,5] => [1,3,3,1]
[7,2,3,6,4,1,8,5] => [1,3,1,2,1]
[6,5,2,4,1,8,3,7] => [1,1,2,2,2]
[5,7,2,4,1,3,8,6] => [2,2,3,1]
[6,2,5,4,1,8,3,7] => [1,2,1,2,2]
[4,2,6,3,5,8,1,7] => [1,2,3,2]
[2,7,8,6,3,5,1,4] => [3,1,2,2]
[8,5,3,1,4,7,6,2] => [1,1,1,3,1,1]
[8,4,1,2,3,7,6,5] => [1,1,4,1,1]
[8,4,1,5,3,7,6,2] => [1,1,2,2,1,1]
[8,3,1,4,2,7,6,5] => [1,1,2,2,1,1]
[2,5,8,7,3,1,6,4] => [3,1,1,2,1]
[8,1,2,5,4,3,7,6] => [1,3,1,2,1]
[1,6,2,5,7,4,8,3] => [2,3,2,1]
[8,3,6,4,2,7,5,1] => [1,2,1,2,1,1]
[7,1,8,3,6,4,5,2] => [1,2,2,2,1]
[7,1,2,6,3,5,8,4] => [1,3,3,1]
[8,6,2,1,4,5,7,3] => [1,1,1,4,1]
[7,2,1,8,4,3,6,5] => [1,1,2,1,2,1]
[6,7,2,1,4,5,8,3] => [2,1,4,1]
[3,7,5,2,8,4,6,1] => [2,1,2,2,1]
[1,7,2,5,6,4,8,3] => [2,3,2,1]
[7,4,2,6,8,5,3,1] => [1,1,3,1,1,1]
[8,5,2,4,6,3,1,7] => [1,1,3,1,2]
[7,4,1,2,8,5,6,3] => [1,1,3,2,1]
[6,4,1,8,5,2,3,7] => [1,1,2,1,3]
[8,4,1,6,3,5,2,7] => [1,1,2,2,2]
[7,3,4,1,6,8,5,2] => [1,2,3,1,1]
[8,6,2,3,5,7,4,1] => [1,1,4,1,1]
[8,6,2,5,7,3,4,1] => [1,1,3,2,1]
[6,3,4,8,5,1,2,7] => [1,3,1,3]
[8,5,1,2,7,4,6,3] => [1,1,3,2,1]
[7,2,6,8,3,4,5,1] => [1,3,3,1]
[1,6,7,5,4,8,2,3] => [3,1,2,2]
[3,5,8,4,6,2,7,1] => [3,2,2,1]
[3,5,8,4,2,7,6,1] => [3,1,2,1,1]
[7,4,6,2,5,3,8,1] => [1,2,2,2,1]
[7,4,3,8,6,5,1,2] => [1,1,2,1,1,2]
[7,2,6,5,8,3,1,4] => [1,2,2,1,2]
[1,8,5,4,2,6,3,7] => [2,1,1,2,2]
[5,4,2,6,8,3,1,7] => [1,1,3,1,2]
[3,5,6,7,4,8,1,2] => [4,2,2]
[5,7,3,6,2,1,4,8] => [2,2,1,3]
[2,3,8,5,4,6,1,7] => [3,1,2,2]
[6,8,7,1,4,5,3,2] => [2,1,3,1,1]
[8,1,3,6,4,7,5,2] => [1,3,2,1,1]
[6,8,7,1,2,5,4,3] => [2,1,3,1,1]
[2,7,3,1,8,4,6,5] => [2,1,2,2,1]
[4,7,2,5,6,1,3,8] => [2,3,3]
[8,3,5,4,1,2,6,7] => [1,2,1,4]
[7,1,3,5,4,2,6,8] => [1,3,1,3]
[5,3,1,7,6,2,4,8] => [1,1,2,1,3]
[7,5,1,6,2,4,3,8] => [1,1,2,2,2]
[5,8,6,1,2,4,3,7] => [2,1,3,2]
[4,1,5,7,3,6,8,2] => [1,3,3,1]
[1,4,5,7,6,8,2,3] => [4,2,2]
[5,7,2,1,6,8,4,3] => [2,1,3,1,1]
[2,6,3,1,7,8,5,4] => [2,1,3,1,1]
[6,2,5,7,4,1,8,3] => [1,3,1,2,1]
[3,6,1,8,7,4,5,2] => [2,2,1,2,1]
[4,2,7,5,1,6,3,8] => [1,2,1,2,2]
[4,1,3,5,7,6,8,2] => [1,4,2,1]
[5,7,6,1,4,2,3,8] => [2,1,2,3]
[4,8,7,5,2,1,6,3] => [2,1,1,1,2,1]
[3,7,1,2,6,4,5,8] => [2,3,3]
[4,1,7,6,3,5,8,2] => [1,2,1,3,1]
[7,5,6,2,1,4,3,8] => [1,2,1,2,2]
[6,5,1,4,7,2,8,3] => [1,1,3,2,1]
[6,5,1,3,7,4,8,2] => [1,1,3,2,1]
[4,7,1,3,5,6,8,2] => [2,5,1]
[4,3,5,7,8,2,6,1] => [1,4,2,1]
[7,1,6,2,5,8,4,3] => [1,2,3,1,1]
[8,5,1,3,4,6,2,7] => [1,1,4,2]
[4,1,6,7,3,5,2,8] => [1,3,2,2]
[7,2,5,4,1,3,6,8] => [1,2,1,4]
[2,5,1,4,7,6,3,8] => [2,3,1,2]
[4,7,5,1,6,2,3,8] => [2,1,2,3]
[3,8,1,4,6,2,7,5] => [2,3,2,1]
[5,3,2,7,6,4,1,8] => [1,1,2,1,1,2]
[5,3,7,4,6,2,1,8] => [1,2,2,1,2]
[5,7,3,2,1,8,6,4] => [2,1,1,2,1,1]
[5,7,6,3,2,1,8,4] => [2,1,1,1,2,1]
[3,2,7,5,4,1,8,6] => [1,2,1,1,2,1]
[1,7,3,5,4,2,6,8] => [2,2,1,3]
[5,3,7,4,1,8,6,2] => [1,2,1,2,1,1]
[7,3,5,4,1,6,8,2] => [1,2,1,3,1]
[7,5,1,6,8,3,2,4] => [1,1,3,1,2]
[5,3,1,7,6,8,2,4] => [1,1,2,2,2]
[7,1,5,3,2,4,8,6] => [1,2,1,3,1]
[1,3,6,2,5,4,7,8] => [3,2,3]
[3,1,4,8,5,7,6,2] => [1,3,2,1,1]
[7,4,1,8,2,6,5,3] => [1,1,2,2,1,1]
[7,1,8,3,5,2,6,4] => [1,2,2,2,1]
[7,1,2,8,4,3,5,6] => [1,3,1,3]
[5,6,2,1,4,7,3,8] => [2,1,3,2]
[3,6,2,5,4,8,7,1] => [2,2,2,1,1]
[3,1,5,8,4,2,7,6] => [1,3,1,2,1]
[7,3,6,2,1,4,8,5] => [1,2,1,3,1]
[7,3,1,4,2,8,5,6] => [1,1,2,2,2]
[8,3,1,4,2,7,5,6] => [1,1,2,2,2]
[8,2,1,3,7,4,5,6] => [1,1,3,3]
[5,1,3,4,8,6,2,7] => [1,4,1,2]
[2,7,4,1,8,5,3,6] => [2,1,2,1,2]
[2,7,3,8,1,4,6,5] => [2,2,3,1]
[7,1,5,2,4,3,6,8] => [1,2,2,3]
[6,8,7,3,2,1,5,4] => [2,1,1,1,2,1]
[3,6,8,7,2,4,1,5] => [3,1,2,2]
[5,7,3,6,2,1,8,4] => [2,2,1,2,1]
[3,6,5,2,4,8,1,7] => [2,1,3,2]
[5,2,6,1,7,4,3,8] => [1,2,2,1,2]
[6,3,4,5,1,7,2,8] => [1,3,2,2]
[3,4,6,2,1,5,7,8] => [3,1,4]
[2,1,5,4,7,8,3,6] => [1,2,3,2]
[2,6,1,7,5,3,8,4] => [2,2,1,2,1]
[6,3,8,2,5,7,1,4] => [1,2,3,2]
[7,5,8,2,3,6,1,4] => [1,2,3,2]
[1,5,4,8,3,6,7,2] => [2,2,3,1]
[4,8,6,5,2,3,7,1] => [2,1,1,3,1]
[1,4,5,8,2,6,7,3] => [4,3,1]
[7,3,5,2,8,6,1,4] => [1,2,2,1,2]
[1,8,3,6,2,4,7,5] => [2,2,3,1]
[1,8,7,5,6,4,2,3] => [2,1,2,1,2]
[6,8,2,1,5,4,3,7] => [2,1,2,1,2]
[1,3,6,5,8,7,2,4] => [3,2,1,2]
[1,4,8,7,6,2,3,5] => [3,1,1,3]
[1,4,5,2,7,6,3,8] => [3,2,1,2]
[1,4,7,6,2,5,3,8] => [3,1,2,2]
[1,3,7,2,6,5,4,8] => [3,2,1,2]
[1,6,7,2,5,4,3,8] => [3,2,1,2]
[7,5,6,3,2,8,1,4] => [1,2,1,2,2]
[7,5,1,4,6,3,2,8] => [1,1,3,1,2]
[7,5,1,2,6,3,4,8] => [1,1,3,3]
[7,5,1,8,3,2,4,6] => [1,1,2,1,3]
[7,5,1,4,6,3,8,2] => [1,1,3,2,1]
[7,5,4,1,2,6,3,8] => [1,1,1,3,2]
[7,5,1,4,2,8,3,6] => [1,1,2,2,2]
[2,4,7,5,3,8,1,6] => [3,1,2,2]
[7,5,2,1,4,8,3,6] => [1,1,1,3,2]
[7,1,2,6,8,4,3,5] => [1,4,1,2]
[8,5,1,2,6,7,4,3] => [1,1,4,1,1]
[5,4,1,8,6,7,3,2] => [1,1,2,2,1,1]
[6,3,2,1,5,8,4,7] => [1,1,1,3,2]
[4,3,5,6,2,8,1,7] => [1,3,2,2]
[6,3,5,2,7,8,4,1] => [1,2,3,1,1]
[4,5,3,1,6,8,2,7] => [2,1,3,2]
[3,4,6,7,5,1,8,2] => [4,1,2,1]
[7,4,1,2,5,6,8,3] => [1,1,5,1]
[4,8,2,6,7,1,5,3] => [2,3,2,1]
[6,5,8,3,7,1,4,2] => [1,2,2,2,1]
[5,6,7,1,2,4,3,8] => [3,3,2]
[4,8,6,5,3,7,1,2] => [2,1,1,2,2]
[4,8,6,5,3,7,2,1] => [2,1,1,2,1,1]
[4,1,5,7,6,2,8,3] => [1,3,1,2,1]
[3,2,4,7,1,5,8,6] => [1,3,3,1]
[4,7,5,8,6,2,3,1] => [2,2,1,2,1]
[3,2,6,8,7,5,1,4] => [1,3,1,1,2]
[7,2,4,5,8,1,6,3] => [1,4,2,1]
[2,7,5,6,1,8,3,4] => [2,2,2,2]
[4,2,3,5,7,8,6,1] => [1,5,1,1]
[5,6,1,3,8,4,7,2] => [2,3,2,1]
[5,4,7,1,6,2,3,8] => [1,2,2,3]
[3,1,7,4,6,5,2,8] => [1,2,2,1,2]
[2,7,4,3,5,1,8,6] => [2,1,2,2,1]
[3,6,8,5,2,4,1,7] => [3,1,2,2]
[2,8,6,7,1,4,5,3] => [2,2,3,1]
[4,8,2,5,7,6,1,3] => [2,3,1,2]
[5,1,4,7,2,6,3,8] => [1,3,2,2]
[4,7,1,5,6,2,3,8] => [2,3,3]
[4,2,5,6,3,7,1,8] => [1,3,2,2]
[4,7,3,1,6,5,2,8] => [2,1,2,1,2]
[7,2,6,4,3,5,1,8] => [1,2,1,2,2]
[3,6,8,5,7,1,2,4] => [3,2,3]
[2,6,1,8,7,3,5,4] => [2,2,1,2,1]
[3,6,8,7,4,2,5,1] => [3,1,1,2,1]
[1,5,2,4,6,7,3,8] => [2,4,2]
[1,6,2,8,5,7,4,3] => [2,2,2,1,1]
[1,8,4,7,2,5,6,3] => [2,2,3,1]
[6,8,4,5,7,3,1,2] => [2,3,1,2]
[7,5,6,1,3,8,2,4] => [1,2,3,2]
[5,4,8,3,6,7,2,1] => [1,2,3,1,1]
[5,8,4,6,3,7,2,1] => [2,2,2,1,1]
[8,5,2,6,3,1,4,7] => [1,1,2,1,3]
[7,3,2,8,5,4,1,6] => [1,1,2,1,1,2]
[2,6,8,3,5,7,4,1] => [3,3,1,1]
[7,3,4,8,5,1,2,6] => [1,3,1,3]
[7,4,8,1,3,5,2,6] => [1,2,3,2]
[7,6,2,4,1,8,3,5] => [1,1,2,2,2]
[8,3,6,4,1,2,7,5] => [1,2,1,3,1]
[8,2,5,4,6,1,7,3] => [1,2,2,2,1]
[8,2,5,6,1,7,3,4] => [1,3,2,2]
[6,8,4,1,7,3,5,2] => [2,1,2,2,1]
[2,8,5,6,1,3,4,7] => [2,2,4]
[7,6,8,5,1,2,4,3] => [1,2,1,3,1]
[7,2,5,1,8,4,6,3] => [1,2,2,2,1]
[2,8,5,3,6,4,1,7] => [2,1,2,1,2]
[8,4,5,1,6,3,7,2] => [1,2,2,2,1]
[8,2,1,5,7,4,6,3] => [1,1,3,2,1]
[8,6,5,3,7,1,4,2] => [1,1,1,2,2,1]
[1,5,2,4,7,6,8,3] => [2,3,2,1]
[1,5,4,3,8,2,7,6] => [2,1,2,2,1]
[4,5,7,1,6,3,2,8] => [3,2,1,2]
[4,7,8,3,6,2,1,5] => [3,2,1,2]
[3,4,2,6,8,1,7,5] => [2,3,2,1]
[4,8,6,2,7,5,1,3] => [2,1,2,1,2]
[1,7,5,3,2,6,8,4] => [2,1,1,3,1]
[7,6,1,5,2,3,4,8] => [1,1,2,4]
[7,5,1,6,2,3,4,8] => [1,1,2,4]
[7,2,6,5,1,3,4,8] => [1,2,1,4]
[6,1,7,2,4,5,8,3] => [1,2,4,1]
[6,2,1,8,4,7,3,5] => [1,1,2,2,2]
[7,6,2,8,3,4,5,1] => [1,1,2,3,1]
[2,5,4,7,1,8,3,6] => [2,2,2,2]
[6,2,7,4,3,8,5,1] => [1,2,1,2,1,1]
[1,5,4,7,3,8,2,6] => [2,2,2,2]
[1,2,6,7,3,5,4,8] => [4,2,2]
[5,6,8,7,4,2,3,1] => [3,1,1,2,1]
[2,3,8,5,7,4,1,6] => [3,2,1,2]
[4,2,5,6,3,1,7,8] => [1,3,1,3]
[5,2,3,7,6,8,4,1] => [1,3,2,1,1]
[8,1,2,4,6,3,5,7] => [1,4,3]
[4,2,5,6,3,7,8,1] => [1,3,3,1]
[3,7,8,4,5,6,1,2] => [3,3,2]
[6,3,5,7,4,8,1,2] => [1,3,2,2]
[5,6,3,8,1,7,4,2] => [2,2,2,1,1]
[5,8,3,7,1,2,6,4] => [2,2,3,1]
[4,5,2,1,8,3,6,7] => [2,1,2,3]
[7,4,2,1,6,5,8,3] => [1,1,1,2,2,1]
[8,5,2,1,7,3,6,4] => [1,1,1,2,2,1]
[5,4,3,6,1,8,2,7] => [1,1,2,2,2]
[3,5,4,1,7,2,8,6] => [2,1,2,2,1]
[1,3,8,6,7,4,5,2] => [3,2,2,1]
[2,6,5,3,7,1,8,4] => [2,1,2,2,1]
[5,7,1,3,6,4,8,2] => [2,3,2,1]
[8,2,5,4,1,7,3,6] => [1,2,1,2,2]
[8,1,7,6,4,2,3,5] => [1,2,1,1,3]
[7,5,3,2,1,4,8,6] => [1,1,1,1,3,1]
[6,1,7,2,5,8,4,3] => [1,2,3,1,1]
[2,6,8,4,5,3,7,1] => [3,2,2,1]
[1,8,6,3,7,4,5,2] => [2,1,2,2,1]
[4,5,7,1,6,2,8,3] => [3,2,2,1]
[5,7,3,4,2,8,6,1] => [2,2,2,1,1]
[5,8,3,4,2,7,6,1] => [2,2,2,1,1]
[7,6,4,2,3,8,5,1] => [1,1,1,3,1,1]
[3,5,6,8,2,4,7,1] => [4,3,1]
[4,8,7,3,2,5,6,1] => [2,1,1,3,1]
[3,7,4,2,6,8,5,1] => [2,1,3,1,1]
[6,4,8,7,3,2,5,1] => [1,2,1,1,2,1]
[5,6,2,8,7,4,3,1] => [2,2,1,1,1,1]
[2,5,7,6,4,8,1,3] => [3,1,2,2]
[2,5,6,4,8,7,1,3] => [3,2,1,2]
[6,2,8,3,7,4,5,1] => [1,2,2,2,1]
[3,7,5,6,4,2,8,1] => [2,2,1,2,1]
[5,2,3,8,6,1,4,7] => [1,3,1,3]
[1,4,3,8,5,6,2,7] => [2,2,2,2]
[7,8,2,6,4,3,5,1] => [2,2,1,2,1]
[4,5,8,7,2,3,6,1] => [3,1,3,1]
[7,8,6,1,4,2,5,3] => [2,1,2,2,1]
[8,3,6,4,7,2,1,5] => [1,2,2,1,2]
[2,7,1,4,6,8,5,3] => [2,4,1,1]
[7,2,5,1,6,8,4,3] => [1,2,3,1,1]
[7,6,2,5,8,3,4,1] => [1,1,3,2,1]
[5,1,8,7,2,4,3,6] => [1,2,1,2,2]
[5,8,1,3,6,7,4,2] => [2,4,1,1]
[3,6,8,1,5,2,7,4] => [3,2,2,1]
[7,3,6,8,1,5,2,4] => [1,3,2,2]
[8,3,6,5,2,7,1,4] => [1,2,1,2,2]
[5,1,3,6,4,2,7,8] => [1,3,1,3]
[6,1,2,4,7,5,3,8] => [1,4,1,2]
[3,8,5,1,4,6,2,7] => [2,1,3,2]
[6,2,8,5,7,4,1,3] => [1,2,2,1,2]
[2,7,8,5,6,4,3,1] => [3,2,1,1,1]
[8,4,6,7,1,3,5,2] => [1,3,3,1]
[3,1,5,8,7,4,2,6] => [1,3,1,1,2]
[1,3,8,4,5,2,6,7] => [3,2,3]
[8,3,1,4,6,7,2,5] => [1,1,4,2]
[7,8,5,1,2,6,3,4] => [2,1,3,2]
[6,4,5,1,8,7,3,2] => [1,2,2,1,1,1]
[8,6,2,1,7,3,5,4] => [1,1,1,2,2,1]
[7,2,8,4,6,5,3,1] => [1,2,2,1,1,1]
[4,8,6,3,1,7,2,5] => [2,1,1,2,2]
[3,1,8,4,5,7,2,6] => [1,2,3,2]
[3,7,8,4,6,5,2,1] => [3,2,1,1,1]
[7,8,6,1,4,3,5,2] => [2,1,2,2,1]
[2,5,8,3,4,6,1,7] => [3,3,2]
[7,8,4,3,6,1,2,5] => [2,1,2,3]
[8,4,3,5,1,6,7,2] => [1,1,2,3,1]
[5,6,1,2,4,8,7,3] => [2,4,1,1]
[4,3,6,2,5,7,1,8] => [1,2,3,2]
[1,6,5,7,3,4,8,2] => [2,2,3,1]
[5,2,8,6,7,4,1,3] => [1,2,2,1,2]
[8,2,6,5,1,7,4,3] => [1,2,1,2,1,1]
[7,6,4,1,2,5,8,3] => [1,1,1,4,1]
[7,6,3,2,5,8,4,1] => [1,1,1,3,1,1]
[8,3,2,1,7,5,4,6] => [1,1,1,2,1,2]
[1,8,4,5,7,3,2,6] => [2,3,1,2]
[6,1,3,2,8,7,5,4] => [1,2,2,1,1,1]
[2,4,8,5,6,3,7,1] => [3,2,2,1]
[7,2,1,3,8,4,6,5] => [1,1,3,2,1]
[4,1,8,6,2,7,3,5] => [1,2,1,2,2]
[1,7,3,8,6,5,2,4] => [2,2,1,1,2]
[2,6,5,4,8,7,1,3] => [2,1,2,1,2]
[5,6,7,1,3,2,4,8] => [3,2,3]
[7,1,8,4,3,2,6,5] => [1,2,1,1,2,1]
[8,1,5,4,2,6,7,3] => [1,2,1,3,1]
[7,4,1,6,8,5,3,2] => [1,1,3,1,1,1]
[7,5,3,8,2,1,4,6] => [1,1,2,1,3]
[6,5,3,7,2,8,1,4] => [1,1,2,2,2]
[8,6,3,7,5,4,2,1] => [1,1,2,1,1,1,1]
[8,3,5,7,4,6,2,1] => [1,3,2,1,1]
[8,3,2,4,7,5,6,1] => [1,1,3,2,1]
[4,8,6,2,5,1,3,7] => [2,1,2,3]
[6,2,8,7,3,5,1,4] => [1,2,1,2,2]
[4,6,8,7,3,5,2,1] => [3,1,2,1,1]
[3,8,2,5,7,6,4,1] => [2,3,1,1,1]
[5,8,3,4,2,1,6,7] => [2,2,1,3]
[6,5,8,3,2,4,7,1] => [1,2,1,3,1]
[3,1,7,8,4,5,6,2] => [1,3,3,1]
[3,2,7,8,4,5,6,1] => [1,3,3,1]
[1,3,8,2,6,7,5,4] => [3,3,1,1]
[3,1,7,2,6,8,5,4] => [1,2,3,1,1]
[5,4,1,8,3,7,6,2] => [1,1,2,2,1,1]
[3,8,6,4,1,2,5,7] => [2,1,1,4]
[2,8,3,4,5,7,1,6] => [2,4,2]
[1,8,5,2,7,6,4,3] => [2,1,2,1,1,1]
[1,7,6,8,2,5,4,3] => [2,2,2,1,1]
[1,7,8,6,2,5,4,3] => [3,1,2,1,1]
[4,6,5,7,1,8,2,3] => [2,2,2,2]
[7,5,3,6,8,4,2,1] => [1,1,3,1,1,1]
[7,2,5,6,4,8,3,1] => [1,3,2,1,1]
[7,4,6,2,8,5,3,1] => [1,2,2,1,1,1]
[5,3,4,7,6,8,2,1] => [1,3,2,1,1]
[5,3,4,8,2,1,7,6] => [1,3,1,2,1]
[5,2,3,6,1,7,4,8] => [1,3,2,2]
[7,8,4,6,5,1,2,3] => [2,2,1,3]
[6,3,7,5,4,1,2,8] => [1,2,1,1,3]
[1,6,3,4,2,5,8,7] => [2,2,3,1]
[1,5,7,6,2,3,8,4] => [3,1,3,1]
[1,4,3,7,6,2,5,8] => [2,2,1,3]
[1,3,7,4,6,8,5,2] => [3,3,1,1]
[1,5,3,4,7,2,8,6] => [2,3,2,1]
[6,1,5,4,7,8,2,3] => [1,2,3,2]
[6,7,1,5,2,3,4,8] => [2,2,4]
[7,6,3,5,1,8,2,4] => [1,1,2,2,2]
[2,7,3,6,1,4,8,5] => [2,2,3,1]
[7,4,2,3,1,6,5,8] => [1,1,2,2,2]
[5,6,2,1,7,4,3,8] => [2,1,2,1,2]
[3,7,4,6,8,1,5,2] => [2,3,2,1]
[4,1,5,6,2,8,7,3] => [1,3,2,1,1]
[3,4,7,8,1,5,2,6] => [4,2,2]
[4,8,3,1,7,6,2,5] => [2,1,2,1,2]
[2,6,7,5,3,4,1,8] => [3,1,2,2]
[2,4,1,7,5,6,8,3] => [2,2,3,1]
[7,2,4,8,3,5,1,6] => [1,3,2,2]
[4,7,6,3,2,1,5,8] => [2,1,1,1,3]
[3,2,6,1,7,5,4,8] => [1,2,2,1,2]
[5,6,1,4,3,8,7,2] => [2,2,2,1,1]
[5,8,6,4,3,1,7,2] => [2,1,1,1,2,1]
[4,1,3,7,8,6,5,2] => [1,4,1,1,1]
[5,1,2,8,7,4,3,6] => [1,3,1,1,2]
[4,1,7,5,3,8,2,6] => [1,2,1,2,2]
[4,6,5,1,8,7,3,2] => [2,1,2,1,1,1]
[5,7,6,1,2,4,3,8] => [2,1,3,2]
[4,3,7,6,2,5,1,8] => [1,2,1,2,2]
[5,8,1,2,6,4,3,7] => [2,3,1,2]
[9,1,2,3,4,5,6,7,8] => [1,8]
[8,1,2,3,4,5,6,9,7] => [1,7,1]
[7,1,2,3,4,5,9,6,8] => [1,6,2]
[9,1,2,3,4,5,8,6,7] => [1,6,2]
[7,1,2,3,4,5,8,9,6] => [1,7,1]
[6,1,2,3,4,9,5,7,8] => [1,5,3]
[6,1,2,3,4,8,5,9,7] => [1,5,2,1]
[9,1,2,3,4,7,5,6,8] => [1,5,3]
[9,1,2,3,4,8,5,6,7] => [1,5,3]
[8,1,2,3,4,7,5,9,6] => [1,5,2,1]
[6,1,2,3,4,7,9,5,8] => [1,6,2]
[6,1,2,3,4,9,8,5,7] => [1,5,1,2]
[9,1,2,3,4,7,8,5,6] => [1,6,2]
[6,1,2,3,4,7,8,9,5] => [1,7,1]
[5,1,2,3,8,4,6,9,7] => [1,4,3,1]
[9,1,2,3,6,4,5,7,8] => [1,4,4]
[8,1,2,3,6,4,5,9,7] => [1,4,3,1]
[8,1,2,3,9,4,5,6,7] => [1,4,4]
[5,1,2,3,6,8,4,9,7] => [1,5,2,1]
[5,1,2,3,9,8,4,6,7] => [1,4,1,3]
[9,1,2,3,6,8,4,5,7] => [1,5,3]
[5,1,2,3,6,9,8,4,7] => [1,5,1,2]
[9,1,2,3,6,7,8,4,5] => [1,6,2]
[5,1,2,3,6,7,8,9,4] => [1,7,1]
[4,1,2,8,3,5,6,9,7] => [1,3,4,1]
[4,1,2,9,3,5,8,6,7] => [1,3,3,2]
[4,1,2,6,3,8,5,9,7] => [1,3,2,2,1]
[4,1,2,9,3,8,5,6,7] => [1,3,2,3]
[9,1,2,5,3,4,6,7,8] => [1,3,5]
[8,1,2,5,3,4,6,9,7] => [1,3,4,1]
[9,1,2,8,3,4,5,6,7] => [1,3,5]
[7,1,2,8,3,4,5,9,6] => [1,3,4,1]
[4,1,2,5,9,3,6,7,8] => [1,4,4]
[4,1,2,8,9,3,5,6,7] => [1,4,4]
[8,1,2,5,9,3,4,6,7] => [1,4,4]
[8,1,2,9,6,3,4,5,7] => [1,3,1,4]
[8,1,2,7,6,3,4,9,5] => [1,3,1,3,1]
[9,1,2,5,6,3,8,4,7] => [1,4,2,2]
[9,1,2,7,6,3,8,4,5] => [1,3,1,2,2]
[4,1,2,5,6,8,3,9,7] => [1,5,2,1]
[4,1,2,5,9,8,3,6,7] => [1,4,1,3]
[9,1,2,5,6,8,3,4,7] => [1,5,3]
[9,1,2,8,6,7,3,4,5] => [1,3,2,3]
[4,1,2,5,6,7,9,3,8] => [1,6,2]
[4,1,2,5,6,9,8,3,7] => [1,5,1,2]
[4,1,2,9,6,7,8,3,5] => [1,3,3,2]
[9,1,2,5,6,7,8,3,4] => [1,6,2]
[4,1,2,5,6,7,8,9,3] => [1,7,1]
[3,1,9,2,4,5,6,7,8] => [1,2,6]
[3,1,8,2,4,5,6,9,7] => [1,2,5,1]
[3,1,9,2,4,5,8,6,7] => [1,2,4,2]
[3,1,5,2,8,4,6,9,7] => [1,2,2,3,1]
[3,1,5,2,7,4,9,6,8] => [1,2,2,2,2]
[3,1,5,2,7,4,8,9,6] => [1,2,2,3,1]
[3,1,5,2,6,7,8,9,4] => [1,2,5,1]
[9,1,4,2,3,5,6,7,8] => [1,2,6]
[8,1,4,2,3,5,6,9,7] => [1,2,5,1]
[9,1,4,2,3,5,8,6,7] => [1,2,4,2]
[6,1,4,2,3,7,8,9,5] => [1,2,5,1]
[9,1,8,2,3,4,5,6,7] => [1,2,6]
[8,1,7,2,3,4,5,9,6] => [1,2,5,1]
[9,1,8,2,7,3,4,5,6] => [1,2,2,4]
[7,1,9,2,6,3,8,4,5] => [1,2,2,2,2]
[9,1,5,2,8,7,3,4,6] => [1,2,2,1,3]
[3,1,4,9,2,5,6,7,8] => [1,3,5]
[3,1,4,9,2,5,8,6,7] => [1,3,3,2]
[3,1,4,7,2,5,8,9,6] => [1,3,4,1]
[3,1,4,6,2,8,5,9,7] => [1,3,2,2,1]
[3,1,4,6,2,7,8,9,5] => [1,3,4,1]
[3,1,7,5,2,4,9,6,8] => [1,2,1,3,2]
[3,1,9,8,2,4,5,6,7] => [1,2,1,5]
[3,1,9,5,2,7,4,6,8] => [1,2,1,2,3]
[9,1,4,5,2,3,6,7,8] => [1,3,5]
[7,1,4,5,2,3,8,9,6] => [1,3,4,1]
[7,1,4,9,2,3,5,6,8] => [1,3,5]
[9,1,4,8,2,3,5,6,7] => [1,3,5]
[7,1,4,9,2,3,8,5,6] => [1,3,3,2]
[9,1,6,5,2,3,4,7,8] => [1,2,1,5]
[9,1,8,5,2,3,4,6,7] => [1,2,1,5]
[7,1,9,6,2,3,4,5,8] => [1,2,1,5]
[9,1,8,6,2,3,4,5,7] => [1,2,1,5]
[7,1,8,9,2,3,4,5,6] => [1,3,5]
[9,1,6,5,2,3,8,4,7] => [1,2,1,3,2]
[7,1,9,6,2,3,8,4,5] => [1,2,1,3,2]
[9,1,4,5,2,7,3,6,8] => [1,3,2,3]
[9,1,4,5,2,8,3,6,7] => [1,3,2,3]
[9,1,6,5,2,8,3,4,7] => [1,2,1,2,3]
[6,1,4,5,2,9,8,3,7] => [1,3,2,1,2]
[9,1,4,6,2,7,8,3,5] => [1,3,3,2]
[3,1,4,8,9,2,5,6,7] => [1,4,4]
[3,1,8,9,7,2,4,5,6] => [1,3,1,4]
[8,1,4,5,6,2,3,9,7] => [1,4,3,1]
[8,1,4,9,6,2,3,5,7] => [1,3,1,4]
[8,1,4,9,7,2,3,5,6] => [1,3,1,4]
[8,1,9,5,6,2,3,4,7] => [1,2,2,4]
[8,1,9,7,6,2,3,4,5] => [1,2,1,1,4]
[7,1,4,5,6,2,8,9,3] => [1,4,3,1]
[3,1,4,5,6,9,2,7,8] => [1,5,3]
[3,1,4,5,6,8,2,9,7] => [1,5,2,1]
[3,1,4,5,9,8,2,6,7] => [1,4,1,3]
[3,1,4,9,8,7,2,5,6] => [1,3,1,1,3]
[3,1,9,5,6,8,2,4,7] => [1,2,3,3]
[3,1,9,8,6,7,2,4,5] => [1,2,1,2,3]
[9,1,4,5,6,7,2,3,8] => [1,5,3]
[9,1,4,8,6,7,2,3,5] => [1,3,2,3]
[9,1,8,5,6,7,2,3,4] => [1,2,3,3]
[8,1,4,5,6,7,2,9,3] => [1,5,2,1]
[3,1,4,5,6,7,9,2,8] => [1,6,2]
[3,1,4,9,6,7,8,2,5] => [1,3,3,2]
[3,1,9,5,6,7,8,2,4] => [1,2,4,2]
[9,1,4,5,6,7,8,2,3] => [1,6,2]
[3,1,4,5,6,7,8,9,2] => [1,7,1]
[2,9,1,3,4,5,6,7,8] => [2,7]
[2,8,1,3,4,5,6,9,7] => [2,6,1]
[2,7,1,3,4,5,9,6,8] => [2,5,2]
[2,9,1,3,4,5,8,6,7] => [2,5,2]
[2,7,1,3,4,5,8,9,6] => [2,6,1]
[2,6,1,3,4,9,5,7,8] => [2,4,3]
[2,9,1,3,4,8,5,6,7] => [2,4,3]
[2,8,1,3,9,4,5,6,7] => [2,3,4]
[2,5,1,3,6,9,4,7,8] => [2,4,3]
[2,9,1,3,8,7,4,5,6] => [2,3,1,3]
[2,9,1,3,6,7,8,4,5] => [2,5,2]
[2,5,1,3,6,7,8,9,4] => [2,6,1]
[2,4,1,9,3,5,6,7,8] => [2,2,5]
[2,4,1,6,3,9,5,7,8] => [2,2,2,3]
[2,4,1,6,3,8,5,9,7] => [2,2,2,2,1]
[2,4,1,9,3,7,8,5,6] => [2,2,3,2]
[2,4,1,6,3,7,8,9,5] => [2,2,4,1]
[2,9,1,5,3,4,6,7,8] => [2,2,5]
[2,9,1,8,3,4,5,6,7] => [2,2,5]
[2,7,1,6,3,4,8,9,5] => [2,2,4,1]
[2,6,1,5,3,7,8,9,4] => [2,2,4,1]
[2,4,1,5,9,3,6,7,8] => [2,3,4]
[2,4,1,8,9,3,5,6,7] => [2,3,4]
[2,8,1,5,6,3,4,9,7] => [2,3,3,1]
[2,8,1,9,7,3,4,5,6] => [2,2,1,4]
[2,9,1,5,7,3,8,4,6] => [2,3,2,2]
[2,7,1,5,6,3,8,9,4] => [2,3,3,1]
[2,4,1,5,6,8,3,9,7] => [2,4,2,1]
[2,9,1,8,6,7,3,4,5] => [2,2,2,3]
[2,8,1,5,6,7,3,9,4] => [2,4,2,1]
[2,4,1,5,6,7,9,3,8] => [2,5,2]
[2,4,1,5,6,9,8,3,7] => [2,4,1,2]
[2,4,1,5,9,7,8,3,6] => [2,3,2,2]
[2,4,1,9,6,7,8,3,5] => [2,2,3,2]
[2,9,1,5,6,7,8,3,4] => [2,5,2]
[2,4,1,5,6,7,8,9,3] => [2,6,1]
[9,3,1,2,4,5,6,7,8] => [1,1,7]
[8,3,1,2,4,5,6,9,7] => [1,1,6,1]
[9,3,1,2,4,5,8,6,7] => [1,1,5,2]
[6,3,1,2,4,7,8,9,5] => [1,1,6,1]
[5,3,1,2,9,4,6,7,8] => [1,1,3,4]
[5,3,1,2,7,4,9,6,8] => [1,1,3,2,2]
[9,3,1,2,6,4,5,7,8] => [1,1,3,4]
[8,3,1,2,9,4,5,6,7] => [1,1,3,4]
[9,3,1,2,7,4,8,5,6] => [1,1,3,2,2]
[5,3,1,2,6,9,4,7,8] => [1,1,4,3]
[5,3,1,2,9,7,4,6,8] => [1,1,3,1,3]
[5,3,1,2,8,7,4,9,6] => [1,1,3,1,2,1]
[9,3,1,2,6,8,4,5,7] => [1,1,4,3]
[8,3,1,2,6,7,4,9,5] => [1,1,4,2,1]
[9,3,1,2,6,7,8,4,5] => [1,1,5,2]
[5,3,1,2,6,7,8,9,4] => [1,1,6,1]
[9,4,1,2,3,5,6,7,8] => [1,1,7]
[9,4,1,2,3,5,8,6,7] => [1,1,5,2]
[7,4,1,2,3,5,8,9,6] => [1,1,6,1]
[6,4,1,2,3,9,5,7,8] => [1,1,4,3]
[9,4,1,2,3,7,5,6,8] => [1,1,4,3]
[9,4,1,2,3,8,5,6,7] => [1,1,4,3]
[6,4,1,2,3,7,9,5,8] => [1,1,5,2]
[6,4,1,2,3,7,8,9,5] => [1,1,6,1]
[5,9,1,2,3,4,6,7,8] => [2,7]
[5,8,1,2,3,4,6,9,7] => [2,6,1]
[5,7,1,2,3,4,9,6,8] => [2,5,2]
[5,9,1,2,3,4,8,6,7] => [2,5,2]
[5,7,1,2,3,4,8,9,6] => [2,6,1]
[9,6,1,2,3,4,5,7,8] => [1,1,7]
[8,6,1,2,3,4,5,9,7] => [1,1,6,1]
[9,7,1,2,3,4,5,6,8] => [1,1,7]
[8,9,1,2,3,4,5,6,7] => [2,7]
[8,7,1,2,3,4,5,9,6] => [1,1,6,1]
[7,6,1,2,3,4,9,5,8] => [1,1,5,2]
[9,6,1,2,3,4,8,5,7] => [1,1,5,2]
[9,7,1,2,3,4,8,5,6] => [1,1,5,2]
[7,6,1,2,3,4,8,9,5] => [1,1,6,1]
[5,6,1,2,3,9,4,7,8] => [2,4,3]
[5,9,1,2,3,8,4,6,7] => [2,4,3]
[9,6,1,2,3,7,4,5,8] => [1,1,4,3]
[9,8,1,2,3,7,4,5,6] => [1,1,4,3]
[8,6,1,2,3,7,4,9,5] => [1,1,4,2,1]
[5,6,1,2,3,7,9,4,8] => [2,5,2]
[5,9,1,2,3,7,8,4,6] => [2,5,2]
[9,6,1,2,3,7,8,4,5] => [1,1,5,2]
[5,6,1,2,3,7,8,9,4] => [2,6,1]
[5,4,1,2,9,3,6,7,8] => [1,1,3,4]
[8,4,1,2,9,3,5,6,7] => [1,1,3,4]
[5,9,1,2,6,3,4,7,8] => [2,3,4]
[5,8,1,2,9,3,4,6,7] => [2,3,4]
[9,8,1,2,6,3,4,5,7] => [1,1,3,4]
[9,8,1,2,7,3,4,5,6] => [1,1,3,4]
[9,7,1,2,6,3,8,4,5] => [1,1,3,2,2]
[5,4,1,2,6,9,3,7,8] => [1,1,4,3]
[9,4,1,2,8,7,3,5,6] => [1,1,3,1,3]
[5,9,1,2,8,7,3,4,6] => [2,3,1,3]
[9,8,1,2,6,7,3,4,5] => [1,1,4,3]
[5,8,1,2,6,7,3,9,4] => [2,4,2,1]
[5,4,1,2,6,7,9,3,8] => [1,1,5,2]
[5,4,1,2,9,7,8,3,6] => [1,1,3,2,2]
[5,9,1,2,6,7,8,3,4] => [2,5,2]
[5,4,1,2,6,7,8,9,3] => [1,1,6,1]
[4,3,1,9,2,5,6,7,8] => [1,1,2,5]
[4,3,1,6,2,8,5,9,7] => [1,1,2,2,2,1]
[9,3,1,5,2,4,6,7,8] => [1,1,2,5]
[8,3,1,5,2,4,6,9,7] => [1,1,2,4,1]
[7,3,1,5,2,4,9,6,8] => [1,1,2,3,2]
[7,3,1,5,2,4,8,9,6] => [1,1,2,4,1]
[9,3,1,8,2,4,5,6,7] => [1,1,2,5]
[6,3,1,5,2,8,4,9,7] => [1,1,2,2,2,1]
[9,3,1,5,2,7,4,6,8] => [1,1,2,2,3]
[9,3,1,5,2,8,4,6,7] => [1,1,2,2,3]
[8,3,1,5,2,7,4,9,6] => [1,1,2,2,2,1]
[6,3,1,5,2,9,8,4,7] => [1,1,2,2,1,2]
[9,3,1,5,2,7,8,4,6] => [1,1,2,3,2]
[9,3,1,6,2,7,8,4,5] => [1,1,2,3,2]
[9,4,1,5,2,3,6,7,8] => [1,1,2,5]
[9,4,1,5,2,3,8,6,7] => [1,1,2,3,2]
[9,4,1,8,2,3,5,6,7] => [1,1,2,5]
[6,9,1,5,2,3,4,7,8] => [2,2,5]
[9,7,1,6,2,3,4,5,8] => [1,1,2,5]
[9,8,1,6,2,3,4,5,7] => [1,1,2,5]
[8,7,1,9,2,3,4,5,6] => [1,1,2,5]
[8,7,1,6,2,3,4,9,5] => [1,1,2,4,1]
[9,4,1,6,2,8,3,5,7] => [1,1,2,2,3]
[6,9,1,5,2,7,3,4,8] => [2,2,2,3]
[9,8,1,6,2,7,3,4,5] => [1,1,2,2,3]
[6,9,1,5,2,7,8,3,4] => [2,2,3,2]
[6,4,1,5,2,7,8,9,3] => [1,1,2,4,1]
[4,3,1,5,9,2,6,7,8] => [1,1,3,4]
[8,3,1,5,6,2,4,9,7] => [1,1,3,3,1]
[8,3,1,9,7,2,4,5,6] => [1,1,2,1,4]
[9,3,1,5,7,2,8,4,6] => [1,1,3,2,2]
[9,4,1,7,6,2,3,5,8] => [1,1,2,1,4]
[8,4,1,9,7,2,3,5,6] => [1,1,2,1,4]
[9,8,1,5,7,2,3,4,6] => [1,1,3,4]
[9,8,1,7,6,2,3,4,5] => [1,1,2,1,4]
[9,4,1,5,7,2,8,3,6] => [1,1,3,2,2]
[7,9,1,5,6,2,8,3,4] => [2,3,2,2]
[7,4,1,5,6,2,8,9,3] => [1,1,3,3,1]
[4,3,1,5,6,8,2,9,7] => [1,1,4,2,1]
[4,3,1,5,9,8,2,6,7] => [1,1,3,1,3]
[4,3,1,5,8,7,2,9,6] => [1,1,3,1,2,1]
[4,3,1,9,8,7,2,5,6] => [1,1,2,1,1,3]
[8,3,1,5,6,7,2,9,4] => [1,1,4,2,1]
[9,4,1,5,8,7,2,3,6] => [1,1,3,1,3]
[9,4,1,8,6,7,2,3,5] => [1,1,2,2,3]
[8,9,1,5,6,7,2,3,4] => [2,4,3]
[8,4,1,5,6,7,2,9,3] => [1,1,4,2,1]
[4,3,1,5,6,7,9,2,8] => [1,1,5,2]
[4,3,1,5,6,9,8,2,7] => [1,1,4,1,2]
[4,3,1,5,9,7,8,2,6] => [1,1,3,2,2]
[4,3,1,9,6,7,8,2,5] => [1,1,2,3,2]
[9,3,1,5,6,7,8,2,4] => [1,1,5,2]
[9,4,1,5,6,7,8,2,3] => [1,1,5,2]
[4,3,1,5,6,7,8,9,2] => [1,1,6,1]
[2,3,9,1,4,5,6,7,8] => [3,6]
[2,3,8,1,4,5,6,9,7] => [3,5,1]
[2,3,9,1,4,5,8,6,7] => [3,4,2]
[2,3,9,1,4,7,8,5,6] => [3,4,2]
[2,3,9,1,8,7,4,5,6] => [3,2,1,3]
[2,3,8,1,6,7,4,9,5] => [3,3,2,1]
[2,3,5,1,6,7,9,4,8] => [3,4,2]
[2,3,9,1,6,7,8,4,5] => [3,4,2]
[2,3,5,1,6,7,8,9,4] => [3,5,1]
[2,9,4,1,3,5,6,7,8] => [2,1,6]
[2,6,4,1,3,7,8,9,5] => [2,1,5,1]
[2,9,5,1,3,4,6,7,8] => [2,1,6]
[2,6,9,1,3,4,5,7,8] => [3,6]
[2,9,7,1,3,4,5,6,8] => [2,1,6]
[2,9,8,1,3,4,5,6,7] => [2,1,6]
[2,6,7,1,3,4,8,9,5] => [3,5,1]
[2,9,4,1,6,3,5,7,8] => [2,1,2,4]
[2,8,4,1,9,3,5,6,7] => [2,1,2,4]
[2,9,4,1,6,3,8,5,7] => [2,1,2,2,2]
[2,9,8,1,7,3,4,5,6] => [2,1,2,4]
[2,9,5,1,6,7,8,3,4] => [2,1,4,2]
[2,5,4,1,6,7,8,9,3] => [2,1,5,1]
[9,3,4,1,2,5,6,7,8] => [1,2,6]
[9,3,4,1,2,5,8,6,7] => [1,2,4,2]
[6,3,4,1,2,8,5,9,7] => [1,2,3,2,1]
[9,3,4,1,2,7,8,5,6] => [1,2,4,2]
[6,3,4,1,2,7,8,9,5] => [1,2,5,1]
[9,3,5,1,2,4,8,6,7] => [1,2,4,2]
[9,3,7,1,2,4,5,6,8] => [1,2,6]
[9,3,8,1,2,4,5,6,7] => [1,2,6]
[6,3,9,1,2,7,4,5,8] => [1,2,3,3]
[9,5,4,1,2,3,6,7,8] => [1,1,1,6]
[8,5,4,1,2,3,6,9,7] => [1,1,1,5,1]
[6,9,4,1,2,3,5,7,8] => [2,1,6]
[6,8,4,1,2,3,5,9,7] => [2,1,5,1]
[9,7,4,1,2,3,5,6,8] => [1,1,1,6]
[9,8,4,1,2,3,5,6,7] => [1,1,1,6]
[6,9,5,1,2,3,4,7,8] => [2,1,6]
[6,8,5,1,2,3,4,9,7] => [2,1,5,1]
[8,7,5,1,2,3,4,9,6] => [1,1,1,5,1]
[6,7,9,1,2,3,4,5,8] => [3,6]
[6,9,8,1,2,3,4,5,7] => [2,1,6]
[9,7,8,1,2,3,4,5,6] => [1,2,6]
[6,7,8,1,2,3,4,9,5] => [3,5,1]
[9,7,5,1,2,3,8,4,6] => [1,1,1,4,2]
[6,7,9,1,2,3,8,4,5] => [3,4,2]
[6,7,5,1,2,3,8,9,4] => [2,1,5,1]
[6,5,4,1,2,8,3,9,7] => [1,1,1,3,2,1]
[9,5,4,1,2,8,3,6,7] => [1,1,1,3,3]
[9,8,4,1,2,7,3,5,6] => [1,1,1,3,3]
[6,8,4,1,2,7,3,9,5] => [2,1,3,2,1]
[6,9,5,1,2,8,3,4,7] => [2,1,3,3]
[9,8,5,1,2,7,3,4,6] => [1,1,1,3,3]
[6,8,9,1,2,7,3,4,5] => [3,3,3]
[6,8,5,1,2,7,3,9,4] => [2,1,3,2,1]
[9,5,4,1,2,7,8,3,6] => [1,1,1,4,2]
[6,9,4,1,2,7,8,3,5] => [2,1,4,2]
[6,9,5,1,2,7,8,3,4] => [2,1,4,2]
[6,5,4,1,2,7,8,9,3] => [1,1,1,5,1]
[8,3,5,1,6,2,4,9,7] => [1,2,2,3,1]
[9,3,8,1,7,2,4,5,6] => [1,2,2,4]
[7,3,8,1,6,2,4,9,5] => [1,2,2,3,1]
[9,3,5,1,7,2,8,4,6] => [1,2,2,2,2]
[7,3,9,1,6,2,8,4,5] => [1,2,2,2,2]
[7,3,5,1,6,2,8,9,4] => [1,2,2,3,1]
[9,5,4,1,7,2,3,6,8] => [1,1,1,2,4]
[8,5,4,1,9,2,3,6,7] => [1,1,1,2,4]
[9,8,4,1,7,2,3,5,6] => [1,1,1,2,4]
[7,8,4,1,6,2,3,9,5] => [2,1,2,3,1]
[9,8,5,1,6,2,3,4,7] => [1,1,1,2,4]
[9,8,5,1,7,2,3,4,6] => [1,1,1,2,4]
[7,8,9,1,6,2,3,4,5] => [3,2,4]
[7,8,5,1,6,2,3,9,4] => [2,1,2,3,1]
[9,5,4,1,7,2,8,3,6] => [1,1,1,2,2,2]
[7,9,4,1,6,2,8,3,5] => [2,1,2,2,2]
[7,9,5,1,6,2,8,3,4] => [2,1,2,2,2]
[7,5,4,1,6,2,8,9,3] => [1,1,1,2,3,1]
[5,3,4,1,6,8,2,9,7] => [1,2,3,2,1]
[5,3,4,1,9,8,2,6,7] => [1,2,2,1,3]
[9,3,4,1,8,7,2,5,6] => [1,2,2,1,3]
[8,3,4,1,6,7,2,9,5] => [1,2,3,2,1]
[9,3,5,1,6,8,2,4,7] => [1,2,3,3]
[9,3,5,1,8,7,2,4,6] => [1,2,2,1,3]
[8,3,9,1,6,7,2,4,5] => [1,2,3,3]
[8,3,5,1,6,7,2,9,4] => [1,2,3,2,1]
[9,5,4,1,6,8,2,3,7] => [1,1,1,3,3]
[9,5,4,1,8,7,2,3,6] => [1,1,1,2,1,3]
[8,9,4,1,6,7,2,3,5] => [2,1,3,3]
[8,9,5,1,6,7,2,3,4] => [2,1,3,3]
[8,5,4,1,6,7,2,9,3] => [1,1,1,3,2,1]
[5,3,4,1,6,7,9,2,8] => [1,2,4,2]
[5,3,4,1,6,9,8,2,7] => [1,2,3,1,2]
[5,3,4,1,9,7,8,2,6] => [1,2,2,2,2]
[9,3,4,1,6,7,8,2,5] => [1,2,4,2]
[9,3,5,1,6,7,8,2,4] => [1,2,4,2]
[9,5,4,1,6,7,8,2,3] => [1,1,1,4,2]
[5,3,4,1,6,7,8,9,2] => [1,2,5,1]
[2,3,4,9,1,5,6,7,8] => [4,5]
[2,3,4,9,1,5,8,6,7] => [4,3,2]
[2,3,4,6,1,8,5,9,7] => [4,2,2,1]
[2,3,4,9,1,7,8,5,6] => [4,3,2]
[2,3,4,6,1,7,8,9,5] => [4,4,1]
[2,3,9,5,1,4,6,7,8] => [3,1,5]
[2,3,9,6,1,4,5,7,8] => [3,1,5]
[2,3,7,9,1,4,5,6,8] => [4,5]
[2,3,9,8,1,4,5,6,7] => [3,1,5]
[2,3,9,5,1,7,4,6,8] => [3,1,2,3]
[2,3,9,6,1,7,8,4,5] => [3,1,3,2]
[2,9,4,5,1,3,6,7,8] => [2,2,5]
[2,7,4,5,1,3,8,9,6] => [2,2,4,1]
[2,9,8,6,1,3,4,5,7] => [2,1,1,5]
[2,7,8,9,1,3,4,5,6] => [4,5]
[2,7,8,6,1,3,4,9,5] => [3,1,4,1]
[2,7,9,5,1,3,8,4,6] => [3,1,3,2]
[2,7,9,6,1,3,8,4,5] => [3,1,3,2]
[2,7,6,5,1,3,8,9,4] => [2,1,1,4,1]
[2,8,4,9,1,7,3,5,6] => [2,2,2,3]
[2,8,4,6,1,7,3,9,5] => [2,2,2,2,1]
[2,8,9,5,1,7,3,4,6] => [3,1,2,3]
[2,8,9,6,1,7,3,4,5] => [3,1,2,3]
[2,8,6,5,1,7,3,9,4] => [2,1,1,2,2,1]
[2,9,4,5,1,7,8,3,6] => [2,2,3,2]
[2,9,4,6,1,7,8,3,5] => [2,2,3,2]
[2,9,6,5,1,7,8,3,4] => [2,1,1,3,2]
[2,6,4,5,1,7,8,9,3] => [2,2,4,1]
[7,3,4,5,1,2,8,9,6] => [1,3,4,1]
[9,3,4,8,1,2,5,6,7] => [1,3,5]
[7,3,4,8,1,2,5,9,6] => [1,3,4,1]
[7,3,9,5,1,2,4,6,8] => [1,2,1,5]
[7,3,8,9,1,2,4,5,6] => [1,3,5]
[7,3,8,6,1,2,4,9,5] => [1,2,1,4,1]
[7,3,9,5,1,2,8,4,6] => [1,2,1,3,2]
[7,3,9,6,1,2,8,4,5] => [1,2,1,3,2]
[7,3,6,5,1,2,8,9,4] => [1,2,1,4,1]
[8,6,4,5,1,2,3,9,7] => [1,1,2,4,1]
[9,8,4,5,1,2,3,6,7] => [1,1,2,5]
[7,8,4,9,1,2,3,5,6] => [2,2,5]
[7,8,4,6,1,2,3,9,5] => [2,2,4,1]
[9,8,6,5,1,2,3,4,7] => [1,1,1,1,5]
[7,8,9,5,1,2,3,4,6] => [3,1,5]
[7,8,9,6,1,2,3,4,5] => [3,1,5]
[7,8,6,5,1,2,3,9,4] => [2,1,1,4,1]
[7,6,4,5,1,2,9,3,8] => [1,1,2,3,2]
[7,9,4,5,1,2,8,3,6] => [2,2,3,2]
[7,9,4,6,1,2,8,3,5] => [2,2,3,2]
[7,9,6,5,1,2,8,3,4] => [2,1,1,3,2]
[7,6,4,5,1,2,8,9,3] => [1,1,2,4,1]
[6,3,4,5,1,8,2,9,7] => [1,3,2,2,1]
[8,3,4,9,1,7,2,5,6] => [1,3,2,3]
[8,3,4,6,1,7,2,9,5] => [1,3,2,2,1]
[8,3,9,5,1,7,2,4,6] => [1,2,1,2,3]
[8,3,9,6,1,7,2,4,5] => [1,2,1,2,3]
[8,3,6,5,1,7,2,9,4] => [1,2,1,2,2,1]
[9,6,4,5,1,8,2,3,7] => [1,1,2,2,3]
[8,9,4,5,1,7,2,3,6] => [2,2,2,3]
[8,9,4,6,1,7,2,3,5] => [2,2,2,3]
[8,9,6,5,1,7,2,3,4] => [2,1,1,2,3]
[8,6,4,5,1,7,2,9,3] => [1,1,2,2,2,1]
[6,3,4,5,1,7,9,2,8] => [1,3,3,2]
[6,3,4,5,1,9,8,2,7] => [1,3,2,1,2]
[9,3,4,5,1,7,8,2,6] => [1,3,3,2]
[9,3,4,6,1,7,8,2,5] => [1,3,3,2]
[9,3,6,5,1,7,8,2,4] => [1,2,1,3,2]
[9,6,4,5,1,7,8,2,3] => [1,1,2,3,2]
[6,3,4,5,1,7,8,9,2] => [1,3,4,1]
[2,3,4,5,9,1,6,7,8] => [5,4]
[2,3,4,5,8,1,6,9,7] => [5,3,1]
[2,3,4,5,9,1,8,6,7] => [5,2,2]
[2,3,4,5,7,1,8,9,6] => [5,3,1]
[2,3,4,9,6,1,5,7,8] => [4,1,4]
[2,3,4,9,7,1,5,6,8] => [4,1,4]
[2,3,4,9,6,1,8,5,7] => [4,1,2,2]
[2,3,4,9,7,1,8,5,6] => [4,1,2,2]
[2,3,9,5,6,1,4,7,8] => [3,2,4]
[2,3,8,5,6,1,4,9,7] => [3,2,3,1]
[2,3,8,9,7,1,4,5,6] => [4,1,4]
[2,3,8,7,6,1,4,9,5] => [3,1,1,3,1]
[2,3,7,5,6,1,9,4,8] => [3,2,2,2]
[2,3,9,5,6,1,8,4,7] => [3,2,2,2]
[2,3,9,5,7,1,8,4,6] => [3,2,2,2]
[2,3,9,7,6,1,8,4,5] => [3,1,1,2,2]
[2,3,7,5,6,1,8,9,4] => [3,2,3,1]
[2,8,4,5,6,1,3,9,7] => [2,3,3,1]
[2,8,4,9,7,1,3,5,6] => [2,2,1,4]
[2,8,4,7,6,1,3,9,5] => [2,2,1,3,1]
[2,8,9,5,7,1,3,4,6] => [3,2,4]
[2,8,9,7,6,1,3,4,5] => [3,1,1,4]
[2,8,7,5,6,1,3,9,4] => [2,1,2,3,1]
[2,7,4,5,6,1,9,3,8] => [2,3,2,2]
[2,9,4,5,6,1,8,3,7] => [2,3,2,2]
[2,9,4,5,7,1,8,3,6] => [2,3,2,2]
[2,9,4,7,6,1,8,3,5] => [2,2,1,2,2]
[2,9,7,5,6,1,8,3,4] => [2,1,2,2,2]
[2,7,4,5,6,1,8,9,3] => [2,3,3,1]
[8,3,4,5,6,1,2,9,7] => [1,4,3,1]
[8,3,4,9,6,1,2,5,7] => [1,3,1,4]
[8,3,4,9,7,1,2,5,6] => [1,3,1,4]
[8,3,4,7,6,1,2,9,5] => [1,3,1,3,1]
[8,3,9,5,6,1,2,4,7] => [1,2,2,4]
[8,3,9,5,7,1,2,4,6] => [1,2,2,4]
[8,3,9,7,6,1,2,4,5] => [1,2,1,1,4]
[8,3,7,5,6,1,2,9,4] => [1,2,2,3,1]
[9,7,4,5,6,1,2,3,8] => [1,1,3,4]
[8,9,4,5,6,1,2,3,7] => [2,3,4]
[8,9,4,5,7,1,2,3,6] => [2,3,4]
[8,9,4,7,6,1,2,3,5] => [2,2,1,4]
[8,9,7,5,6,1,2,3,4] => [2,1,2,4]
[8,7,4,5,6,1,2,9,3] => [1,1,3,3,1]
[7,3,4,5,6,1,9,2,8] => [1,4,2,2]
[9,3,4,5,6,1,8,2,7] => [1,4,2,2]
[9,3,4,5,7,1,8,2,6] => [1,4,2,2]
[9,3,4,7,6,1,8,2,5] => [1,3,1,2,2]
[9,3,7,5,6,1,8,2,4] => [1,2,2,2,2]
[9,7,4,5,6,1,8,2,3] => [1,1,3,2,2]
[7,3,4,5,6,1,8,9,2] => [1,4,3,1]
[2,3,4,5,6,9,1,7,8] => [6,3]
[2,3,4,5,6,8,1,9,7] => [6,2,1]
[2,3,4,5,9,7,1,6,8] => [5,1,3]
[2,3,4,5,9,8,1,6,7] => [5,1,3]
[2,3,4,5,8,7,1,9,6] => [5,1,2,1]
[2,3,4,9,6,7,1,5,8] => [4,2,3]
[2,3,4,9,6,8,1,5,7] => [4,2,3]
[2,3,4,9,8,7,1,5,6] => [4,1,1,3]
[2,3,4,8,6,7,1,9,5] => [4,2,2,1]
[2,3,9,5,6,7,1,4,8] => [3,3,3]
[2,3,9,5,6,8,1,4,7] => [3,3,3]
[2,3,9,5,8,7,1,4,6] => [3,2,1,3]
[2,3,9,8,6,7,1,4,5] => [3,1,2,3]
[2,3,8,5,6,7,1,9,4] => [3,3,2,1]
[2,9,4,5,6,7,1,3,8] => [2,4,3]
[2,9,4,5,6,8,1,3,7] => [2,4,3]
[2,9,4,5,8,7,1,3,6] => [2,3,1,3]
[2,9,4,8,6,7,1,3,5] => [2,2,2,3]
[2,9,8,5,6,7,1,3,4] => [2,1,3,3]
[2,8,4,5,6,7,1,9,3] => [2,4,2,1]
[9,3,4,5,6,7,1,2,8] => [1,5,3]
[9,3,4,5,6,8,1,2,7] => [1,5,3]
[9,3,4,5,8,7,1,2,6] => [1,4,1,3]
[9,3,4,8,6,7,1,2,5] => [1,3,2,3]
[9,3,8,5,6,7,1,2,4] => [1,2,3,3]
[9,8,4,5,6,7,1,2,3] => [1,1,4,3]
[8,3,4,5,6,7,1,9,2] => [1,5,2,1]
[2,3,4,5,6,7,9,1,8] => [7,2]
[2,3,4,5,6,9,8,1,7] => [6,1,2]
[2,3,4,5,9,7,8,1,6] => [5,2,2]
[2,3,4,9,6,7,8,1,5] => [4,3,2]
[2,3,9,5,6,7,8,1,4] => [3,4,2]
[2,9,4,5,6,7,8,1,3] => [2,5,2]
[9,3,4,5,6,7,8,1,2] => [1,6,2]
[2,3,4,5,6,7,8,9,1] => [8,1]
[2,3,4,5,6,7,8,1,9] => [7,2]
[2,3,4,5,6,8,9,1,7] => [7,2]
[2,3,4,5,7,8,9,1,6] => [7,2]
[2,3,4,6,7,8,9,1,5] => [7,2]
[2,3,5,6,7,8,9,1,4] => [7,2]
[2,4,5,6,7,8,9,1,3] => [7,2]
[3,4,5,6,7,8,9,1,2] => [7,2]
[2,3,4,5,6,7,1,8,9] => [6,3]
[2,3,4,5,6,1,9,7,8] => [5,2,2]
[2,3,4,5,1,8,9,6,7] => [4,3,2]
[2,3,4,1,7,8,9,5,6] => [3,4,2]
[2,3,1,6,7,8,9,4,5] => [2,5,2]
[2,1,5,6,7,8,9,3,4] => [1,6,2]
[1,4,5,6,7,8,9,2,3] => [7,2]
[1,2,3,4,5,6,7,9,8] => [8,1]
[2,1,3,4,5,6,7,8,9] => [1,8]
[1,8,2,3,4,5,6,9,7] => [2,6,1]
[7,1,2,3,4,5,6,9,8] => [1,7,1]
[2,1,9,3,4,5,6,7,8] => [1,2,6]
[2,8,1,3,4,5,6,7,9] => [2,7]
[1,2,3,4,5,6,7,8,9] => [9]
[1,2,3,4,5,6,8,9,7] => [8,1]
[1,2,3,4,5,7,8,9,6] => [8,1]
[1,2,3,4,6,7,8,9,5] => [8,1]
[1,2,3,5,6,7,8,9,4] => [8,1]
[1,2,4,5,6,7,8,9,3] => [8,1]
[1,3,4,5,6,7,8,9,2] => [8,1]
[1,2,3,4,5,6,9,8,7] => [7,1,1]
[1,2,3,4,5,8,7,9,6] => [6,2,1]
[1,2,3,4,7,6,8,9,5] => [5,3,1]
[1,2,3,6,5,7,8,9,4] => [4,4,1]
[1,2,5,4,6,7,8,9,3] => [3,5,1]
[1,4,3,5,6,7,8,9,2] => [2,6,1]
[3,2,4,5,6,7,8,9,1] => [1,7,1]
[9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1]
[8,9,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1]
[8,7,9,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1]
[8,7,6,9,5,4,3,2,1] => [1,1,2,1,1,1,1,1]
[8,7,6,5,9,4,3,2,1] => [1,1,1,2,1,1,1,1]
[8,7,6,5,4,9,3,2,1] => [1,1,1,1,2,1,1,1]
[8,7,6,5,4,3,9,2,1] => [1,1,1,1,1,2,1,1]
[8,7,6,5,4,3,2,9,1] => [1,1,1,1,1,1,2,1]
[8,7,6,5,4,3,2,1,9] => [1,1,1,1,1,1,1,2]
[7,8,9,6,5,4,3,2,1] => [3,1,1,1,1,1,1]
[8,6,7,9,5,4,3,2,1] => [1,3,1,1,1,1,1]
[8,7,5,6,9,4,3,2,1] => [1,1,3,1,1,1,1]
[8,7,6,4,5,9,3,2,1] => [1,1,1,3,1,1,1]
[8,7,6,5,3,4,9,2,1] => [1,1,1,1,3,1,1]
[8,7,6,5,4,2,3,9,1] => [1,1,1,1,1,3,1]
[8,7,6,5,4,3,1,2,9] => [1,1,1,1,1,1,3]
[1,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1]
[8,7,6,4,5,3,2,1,9] => [1,1,1,2,1,1,2]
[1,9,8,7,5,6,4,3,2] => [2,1,1,2,1,1,1]
[8,7,5,4,6,3,2,1,9] => [1,1,1,2,1,1,2]
[8,7,4,6,5,3,2,1,9] => [1,1,2,1,1,1,2]
[1,9,8,6,5,7,4,3,2] => [2,1,1,2,1,1,1]
[1,9,8,5,7,6,4,3,2] => [2,1,2,1,1,1,1]
[9,2,1,3,4,5,6,7,8] => [1,1,7]
[9,2,3,1,4,5,6,7,8] => [1,2,6]
[4,2,3,5,6,7,8,9,1] => [1,7,1]
[3,4,2,5,6,7,8,9,1] => [2,6,1]
[1,2,3,4,5,6,9,7,8] => [7,2]
[1,2,3,4,5,8,6,9,7] => [6,2,1]
[1,2,3,4,7,5,8,9,6] => [5,3,1]
[1,2,3,6,4,7,8,9,5] => [4,4,1]
[1,2,5,3,6,7,8,9,4] => [3,5,1]
[1,4,2,5,6,7,8,9,3] => [2,6,1]
[9,8,1,2,3,4,5,6,7] => [1,1,7]
[7,8,9,1,2,3,4,5,6] => [3,6]
[9,8,7,1,2,3,4,5,6] => [1,1,1,6]
[6,7,8,9,1,2,3,4,5] => [4,5]
[9,6,7,8,1,2,3,4,5] => [1,3,5]
[8,9,6,7,1,2,3,4,5] => [2,2,5]
[9,8,6,7,1,2,3,4,5] => [1,1,2,5]
[9,8,7,6,1,2,3,4,5] => [1,1,1,1,5]
[9,5,6,7,8,1,2,3,4] => [1,4,4]
[8,9,5,6,7,1,2,3,4] => [2,3,4]
[9,8,5,6,7,1,2,3,4] => [1,1,3,4]
[9,7,8,5,6,1,2,3,4] => [1,2,2,4]
[9,8,7,5,6,1,2,3,4] => [1,1,1,2,4]
[9,8,7,6,5,1,2,3,4] => [1,1,1,1,1,4]
[7,8,9,4,5,6,1,2,3] => [3,3,3]
[9,7,8,4,5,6,1,2,3] => [1,2,3,3]
[9,8,7,4,5,6,1,2,3] => [1,1,1,3,3]
[8,9,6,7,4,5,1,2,3] => [2,2,2,3]
[9,8,6,7,4,5,1,2,3] => [1,1,2,2,3]
[9,8,7,6,4,5,1,2,3] => [1,1,1,1,2,3]
[9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,3]
[9,7,8,5,6,3,4,1,2] => [1,2,2,2,2]
[9,8,7,5,6,3,4,1,2] => [1,1,1,2,2,2]
[9,8,7,6,5,3,4,1,2] => [1,1,1,1,1,2,2]
[9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,2]
[7,8,6,5,4,3,2,1,9] => [2,1,1,1,1,1,2]
[1,8,9,7,6,5,4,3,2] => [3,1,1,1,1,1,1]
[7,6,8,5,4,3,2,1,9] => [1,2,1,1,1,1,2]
[6,8,7,5,4,3,2,1,9] => [2,1,1,1,1,1,2]
[1,8,7,9,6,5,4,3,2] => [2,2,1,1,1,1,1]
[1,7,9,8,6,5,4,3,2] => [3,1,1,1,1,1,1]
[8,1,2,3,4,5,6,7,9] => [1,8]
[1,9,2,3,4,5,6,7,8] => [2,7]
[7,8,1,2,3,4,5,6,9] => [2,7]
[1,8,9,2,3,4,5,6,7] => [3,6]
[7,1,8,2,3,4,5,6,9] => [1,2,6]
[6,8,1,2,3,4,5,7,9] => [2,7]
[1,8,2,9,3,4,5,6,7] => [2,2,5]
[1,7,9,2,3,4,5,6,8] => [3,6]
[2,1,4,3,6,5,8,7,9] => [1,2,2,2,2]
[2,4,1,3,6,5,8,7,9] => [2,3,2,2]
[2,4,1,6,3,5,8,7,9] => [2,2,3,2]
[2,4,1,6,3,8,5,7,9] => [2,2,2,3]
[2,4,1,6,3,7,5,9,8] => [2,2,2,2,1]
[2,4,1,5,3,7,6,9,8] => [2,2,2,2,1]
[2,3,1,5,4,7,6,9,8] => [2,2,2,2,1]
[1,3,2,5,4,7,6,9,8] => [2,2,2,2,1]
[2,4,6,1,3,5,8,7,9] => [3,4,2]
[2,4,1,6,8,3,5,7,9] => [2,3,4]
[2,4,1,6,3,8,9,5,7] => [2,2,3,2]
[2,4,1,6,3,7,5,8,9] => [2,2,2,3]
[2,4,1,5,3,8,6,9,7] => [2,2,2,2,1]
[2,3,1,6,4,7,5,9,8] => [2,2,2,2,1]
[1,4,2,5,3,7,6,9,8] => [2,2,2,2,1]
[7,1,2,3,4,5,6,8,9] => [1,8]
[3,4,1,2,5,6,7,8,9] => [2,7]
[3,2,1,4,5,6,7,8,9] => [1,1,7]
[4,5,6,1,2,3,7,8,9] => [3,6]
[4,2,5,1,3,6,7,8,9] => [1,2,6]
[4,3,2,1,5,6,7,8,9] => [1,1,1,6]
[5,6,7,8,1,2,3,4,9] => [4,5]
[5,2,6,7,1,3,4,8,9] => [1,3,5]
[5,6,3,4,1,2,7,8,9] => [2,2,5]
[5,3,2,6,1,4,7,8,9] => [1,1,2,5]
[5,4,3,2,1,6,7,8,9] => [1,1,1,1,5]
[6,2,7,8,9,1,3,4,5] => [1,4,4]
[6,7,3,4,8,1,2,5,9] => [2,3,4]
[6,3,2,7,8,1,4,5,9] => [1,1,3,4]
[6,4,7,2,5,1,3,8,9] => [1,2,2,4]
[6,4,3,2,7,1,5,8,9] => [1,1,1,2,4]
[6,5,4,3,2,1,7,8,9] => [1,1,1,1,1,4]
[7,4,8,2,5,9,1,3,6] => [1,2,3,3]
[7,4,3,2,8,9,1,5,6] => [1,1,1,3,3]
[7,8,5,6,3,4,1,2,9] => [2,2,2,3]
[7,5,3,8,2,6,1,4,9] => [1,1,2,2,3]
[7,5,4,3,2,8,1,6,9] => [1,1,1,1,2,3]
[7,6,5,4,3,2,1,8,9] => [1,1,1,1,1,1,3]
[8,6,9,4,7,2,5,1,3] => [1,2,2,2,2]
[8,6,4,3,9,2,7,1,5] => [1,1,1,2,2,2]
[8,6,5,4,3,2,9,1,7] => [1,1,1,1,1,2,2]
[2,3,1,4,5,6,7,8,9] => [2,7]
[2,3,4,1,5,6,7,8,9] => [3,6]
[2,3,4,5,1,6,7,8,9] => [4,5]
[2,3,4,5,6,1,7,8,9] => [5,4]
[2,4,3,1,5,6,7,8,9] => [2,1,6]
[2,3,5,4,1,6,7,8,9] => [3,1,5]
[2,3,4,6,5,1,7,8,9] => [4,1,4]
[2,3,4,5,7,6,1,8,9] => [5,1,3]
[2,3,4,5,6,8,7,1,9] => [6,1,2]
[2,3,4,5,6,7,9,8,1] => [7,1,1]
[3,4,1,5,6,7,8,9,2] => [2,6,1]
[3,4,5,1,6,7,8,9,2] => [3,5,1]
[3,4,5,6,1,7,8,9,2] => [4,4,1]
[3,4,5,6,7,1,8,9,2] => [5,3,1]
[3,4,5,6,7,8,1,9,2] => [6,2,1]
[3,1,2,5,6,7,8,9,4] => [1,7,1]
[3,4,1,2,6,7,8,9,5] => [2,6,1]
[3,4,5,1,2,7,8,9,6] => [3,5,1]
[3,4,5,6,1,2,8,9,7] => [4,4,1]
[3,4,5,6,7,1,2,9,8] => [5,3,1]
[3,4,5,6,7,8,1,2,9] => [6,3]
[8,7,6,5,4,3,1,9,2] => [1,1,1,1,1,1,2,1]
[7,9,6,5,4,3,2,1,8] => [2,1,1,1,1,1,2]
[1,7,6,5,4,3,9,8,2] => [2,1,1,1,2,1,1]
[1,9,6,5,4,3,2,8,7] => [2,1,1,1,1,2,1]
[8,1,6,5,4,3,9,7,2] => [1,2,1,1,2,1,1]
[3,7,6,5,4,9,1,8,2] => [2,1,1,2,2,1]
[7,9,1,5,4,3,2,8,6] => [2,2,1,1,2,1]
[2,9,6,5,4,3,8,1,7] => [2,1,1,1,2,2]
[8,7,1,5,4,3,9,6,2] => [1,1,2,1,2,1,1]
[1,3,6,5,4,9,8,7,2] => [3,1,2,1,1,1]
[4,7,6,5,9,3,1,8,2] => [2,1,2,1,2,1]
[7,9,6,1,4,3,2,8,5] => [2,1,2,1,2,1]
[1,9,2,5,4,3,8,7,6] => [2,2,1,2,1,1]
[3,9,6,5,4,8,2,1,7] => [2,1,1,2,1,2]
[7,9,6,5,4,3,2,8,1] => [2,1,1,1,1,2,1]
[8,9,6,5,4,3,2,1,7] => [2,1,1,1,1,1,2]
[8,7,6,5,4,3,9,1,2] => [1,1,1,1,1,2,2]
[9,7,6,5,4,3,1,8,2] => [1,1,1,1,1,1,2,1]
[7,9,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1]
[6,9,8,7,5,4,3,2,1] => [2,1,1,1,1,1,1,1]
[5,9,8,7,6,4,3,2,1] => [2,1,1,1,1,1,1,1]
[4,9,8,7,6,5,3,2,1] => [2,1,1,1,1,1,1,1]
[3,9,8,7,6,5,4,2,1] => [2,1,1,1,1,1,1,1]
[2,9,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1,1]
[6,9,7,8,5,4,3,2,1] => [2,2,1,1,1,1,1]
[5,9,8,6,7,4,3,2,1] => [2,1,2,1,1,1,1]
[4,9,8,7,5,6,3,2,1] => [2,1,1,2,1,1,1]
[3,9,8,7,6,4,5,2,1] => [2,1,1,1,2,1,1]
[2,9,8,7,6,5,3,4,1] => [2,1,1,1,1,2,1]
[1,9,8,7,6,5,4,2,3] => [2,1,1,1,1,1,2]
[1,2,3,4,5,9,6,7,8] => [6,3]
[1,2,3,4,9,5,6,7,8] => [5,4]
[1,2,3,9,4,5,6,7,8] => [4,5]
[1,2,9,3,4,5,6,7,8] => [3,6]
[1,2,3,4,5,9,7,6,8] => [6,1,2]
[1,2,3,4,9,6,5,7,8] => [5,1,3]
[1,2,3,9,5,4,6,7,8] => [4,1,4]
[1,2,9,4,3,5,6,7,8] => [3,1,5]
[1,9,3,2,4,5,6,7,8] => [2,1,6]
[7,6,9,8,5,4,3,2,1] => [1,2,1,1,1,1,1,1]
[6,5,4,9,8,7,3,2,1] => [1,1,2,1,1,1,1,1]
[6,8,5,9,7,4,3,2,1] => [2,2,1,1,1,1,1]
[6,7,8,9,5,4,3,2,1] => [4,1,1,1,1,1]
[5,4,3,2,9,8,7,6,1] => [1,1,1,2,1,1,1,1]
[5,8,4,3,9,7,6,2,1] => [2,1,2,1,1,1,1]
[5,4,7,6,9,8,3,2,1] => [1,2,2,1,1,1,1]
[5,7,8,4,9,6,3,2,1] => [3,2,1,1,1,1]
[5,6,7,8,9,4,3,2,1] => [5,1,1,1,1]
[4,8,3,2,1,9,7,6,5] => [2,1,1,2,1,1,1]
[4,3,7,6,2,9,8,5,1] => [1,2,1,2,1,1,1]
[4,7,8,3,2,9,6,5,1] => [3,1,2,1,1,1]
[4,6,3,8,5,9,7,2,1] => [2,2,2,1,1,1]
[4,6,7,8,3,9,5,2,1] => [4,2,1,1,1]
[4,5,6,7,8,9,3,2,1] => [6,1,1,1]
[3,2,1,6,5,4,9,8,7] => [1,1,2,1,2,1,1]
[3,6,2,8,5,1,9,7,4] => [2,2,1,2,1,1]
[3,6,7,8,2,1,9,5,4] => [4,1,2,1,1]
[3,2,5,4,7,6,9,8,1] => [1,2,2,2,1,1]
[3,5,7,2,8,4,9,6,1] => [3,2,2,1,1]
[3,5,6,7,8,2,9,4,1] => [5,2,1,1]
[3,4,5,6,7,8,9,2,1] => [7,1,1]
[2,4,6,7,1,8,3,9,5] => [4,2,2,1]
[2,4,5,6,7,8,1,9,3] => [6,2,1]
[3,1,2,4,5,6,7,8,9] => [1,8]
[2,4,1,3,5,6,7,8,9] => [2,7]
[2,3,5,1,4,6,7,8,9] => [3,6]
[2,3,4,6,1,5,7,8,9] => [4,5]
[2,3,4,5,7,1,6,8,9] => [5,4]
[2,3,4,5,6,8,1,7,9] => [6,3]
[7,6,5,4,3,2,9,1,8] => [1,1,1,1,1,2,2]
[6,5,4,3,9,2,8,1,7] => [1,1,1,2,2,2]
[6,5,4,3,2,8,1,7,9] => [1,1,1,1,2,3]
[5,4,9,3,8,2,7,1,6] => [1,2,2,2,2]
[5,4,3,8,2,7,1,6,9] => [1,1,2,2,3]
[5,4,3,2,7,9,1,6,8] => [1,1,1,3,3]
[5,4,3,2,7,1,6,8,9] => [1,1,1,2,4]
[4,8,3,7,2,6,1,5,9] => [2,2,2,3]
[4,3,7,2,6,9,1,5,8] => [1,2,3,3]
[4,3,7,2,6,1,5,8,9] => [1,2,2,4]
[4,3,2,6,8,1,5,7,9] => [1,1,3,4]
[4,3,2,6,1,5,7,8,9] => [1,1,2,5]
[3,6,9,2,5,8,1,4,7] => [3,3,3]
[3,6,2,5,8,1,4,7,9] => [2,3,4]
[3,6,2,5,1,4,7,8,9] => [2,2,5]
[3,2,5,7,9,1,4,6,8] => [1,4,4]
[3,2,5,7,1,4,6,8,9] => [1,3,5]
[3,2,5,1,4,6,7,8,9] => [1,2,6]
[2,4,6,8,1,3,5,7,9] => [4,5]
[2,4,6,1,3,5,7,8,9] => [3,6]
[8,7,6,5,4,2,1,9,3] => [1,1,1,1,1,1,2,1]
[8,7,6,5,3,2,1,9,4] => [1,1,1,1,1,1,2,1]
[8,7,6,4,3,2,1,9,5] => [1,1,1,1,1,1,2,1]
[8,7,5,4,3,2,1,9,6] => [1,1,1,1,1,1,2,1]
[8,6,5,4,3,2,1,9,7] => [1,1,1,1,1,1,2,1]
[7,6,5,4,3,2,1,9,8] => [1,1,1,1,1,1,2,1]
[8,7,6,5,4,9,1,3,2] => [1,1,1,1,2,2,1]
[8,7,6,5,9,2,1,4,3] => [1,1,1,2,1,2,1]
[8,7,6,9,3,2,1,5,4] => [1,1,2,1,1,2,1]
[8,7,9,4,3,2,1,6,5] => [1,2,1,1,1,2,1]
[8,9,5,4,3,2,1,7,6] => [2,1,1,1,1,2,1]
[9,6,5,4,3,2,1,8,7] => [1,1,1,1,1,1,2,1]
[2,9,8,7,6,5,4,1,3] => [2,1,1,1,1,1,2]
[2,4,5,6,7,8,1,3,9] => [6,3]
[3,4,5,6,7,1,8,2,9] => [5,2,2]
[1,3,5,6,7,8,9,2,4] => [7,2]
[1,4,5,6,7,8,2,9,3] => [6,2,1]
[9,7,8,5,6,3,1,4,2] => [1,2,2,1,2,1]
[9,7,8,5,3,6,1,4,2] => [1,2,1,2,2,1]
[9,7,5,8,3,6,1,4,2] => [1,1,2,2,2,1]
[7,9,5,8,3,6,1,4,2] => [2,2,2,2,1]
[8,9,5,7,3,6,1,4,2] => [2,2,2,2,1]
[8,9,6,7,3,5,1,4,2] => [2,2,2,2,1]
[8,9,6,7,4,5,1,3,2] => [2,2,2,2,1]
[8,9,6,7,4,5,2,3,1] => [2,2,2,2,1]
[9,7,8,5,3,1,6,4,2] => [1,2,1,1,2,1,1]
[9,7,5,3,8,6,1,4,2] => [1,1,1,2,1,2,1]
[7,5,9,8,3,6,1,4,2] => [1,2,1,2,2,1]
[9,8,5,7,3,6,1,4,2] => [1,1,2,2,2,1]
[7,9,6,8,3,5,1,4,2] => [2,2,2,2,1]
[8,9,5,7,4,6,1,3,2] => [2,2,2,2,1]
[8,9,6,7,3,5,2,4,1] => [2,2,2,2,1]
[6,5,4,3,2,1,9,8,7] => [1,1,1,1,1,2,1,1]
[6,5,4,3,2,1,8,7,9] => [1,1,1,1,1,2,2]
[5,4,3,2,1,9,8,7,6] => [1,1,1,1,2,1,1,1]
[5,4,3,2,1,8,7,6,9] => [1,1,1,1,2,1,2]
[5,4,3,2,1,7,6,9,8] => [1,1,1,1,2,2,1]
[5,4,3,2,1,7,6,8,9] => [1,1,1,1,2,3]
[4,3,2,1,8,7,6,5,9] => [1,1,1,2,1,1,2]
[4,3,2,1,7,6,5,9,8] => [1,1,1,2,1,2,1]
[4,3,2,1,7,6,5,8,9] => [1,1,1,2,1,3]
[4,3,2,1,6,5,8,7,9] => [1,1,1,2,2,2]
[4,3,2,1,6,5,7,8,9] => [1,1,1,2,4]
[3,2,1,6,5,4,8,7,9] => [1,1,2,1,2,2]
[3,2,1,6,5,4,7,8,9] => [1,1,2,1,4]
[3,2,1,5,4,7,6,9,8] => [1,1,2,2,2,1]
[3,2,1,5,4,7,6,8,9] => [1,1,2,2,3]
[3,2,1,5,4,6,7,8,9] => [1,1,2,5]
[2,1,4,3,6,5,7,8,9] => [1,2,2,4]
[2,1,4,3,5,6,7,8,9] => [1,2,6]
[3,1,4,2,6,5,8,7,9] => [1,2,2,2,2]
[3,1,5,2,6,4,8,7,9] => [1,2,2,2,2]
[3,1,5,2,7,4,8,6,9] => [1,2,2,2,2]
[3,1,5,2,7,4,6,9,8] => [1,2,2,3,1]
[3,1,5,2,4,7,6,9,8] => [1,2,3,2,1]
[3,1,2,5,4,7,6,9,8] => [1,3,2,2,1]
[4,1,5,2,6,3,8,7,9] => [1,2,2,2,2]
[3,1,6,2,7,4,8,5,9] => [1,2,2,2,2]
[3,1,5,2,8,4,9,6,7] => [1,2,2,2,2]
[3,1,5,2,7,4,6,8,9] => [1,2,2,4]
[3,1,5,2,4,7,9,6,8] => [1,2,4,2]
[3,1,2,5,7,4,6,9,8] => [1,4,3,1]
[1,3,5,2,4,7,6,9,8] => [3,3,2,1]
[4,5,6,7,8,9,1,2,3] => [6,3]
[4,5,6,7,8,9,2,3,1] => [6,2,1]
[5,6,7,8,9,1,2,3,4] => [5,4]
[5,6,7,8,9,2,3,4,1] => [5,3,1]
[5,6,7,8,9,3,4,1,2] => [5,2,2]
[5,6,7,8,9,3,4,2,1] => [5,2,1,1]
[6,7,8,9,2,3,4,5,1] => [4,4,1]
[6,7,8,9,3,4,5,1,2] => [4,3,2]
[6,7,8,9,3,4,5,2,1] => [4,3,1,1]
[6,7,8,9,4,5,2,3,1] => [4,2,2,1]
[6,7,8,9,4,5,3,2,1] => [4,2,1,1,1]
[7,8,9,4,5,6,2,3,1] => [3,3,2,1]
[7,8,9,4,5,6,3,2,1] => [3,3,1,1,1]
[7,8,9,5,6,3,4,1,2] => [3,2,2,2]
[7,8,9,5,6,3,4,2,1] => [3,2,2,1,1]
[7,8,9,5,6,4,3,2,1] => [3,2,1,1,1,1]
[8,9,6,7,4,5,3,2,1] => [2,2,2,1,1,1]
[8,9,6,7,5,4,3,2,1] => [2,2,1,1,1,1,1]
[9,8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,2]
[9,8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,2]
[9,8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,2]
[9,8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,2]
[9,8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,1,2]
[9,7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,1,2]
[9,8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,2,1]
[9,8,7,6,5,2,4,1,3] => [1,1,1,1,1,2,2]
[9,8,7,6,3,5,2,1,4] => [1,1,1,1,2,1,2]
[9,8,7,4,6,3,2,1,5] => [1,1,1,2,1,1,2]
[9,8,5,7,4,3,2,1,6] => [1,1,2,1,1,1,2]
[9,6,8,5,4,3,2,1,7] => [1,2,1,1,1,1,2]
[9,8,7,3,6,2,5,1,4] => [1,1,1,2,2,2]
[9,8,7,6,3,5,1,2,4] => [1,1,1,1,2,3]
[9,4,8,3,7,2,6,1,5] => [1,2,2,2,2]
[9,8,4,7,3,6,1,2,5] => [1,1,2,2,3]
[9,8,7,2,4,6,1,3,5] => [1,1,1,3,3]
[9,8,7,4,6,1,2,3,5] => [1,1,1,2,4]
[5,9,4,8,3,7,1,2,6] => [2,2,2,3]
[9,5,8,2,4,7,1,3,6] => [1,2,3,3]
[9,5,8,4,7,1,2,3,6] => [1,2,2,4]
[9,8,3,5,7,1,2,4,6] => [1,1,3,4]
[9,8,5,7,1,2,3,4,6] => [1,1,2,5]
[6,9,3,5,8,1,2,4,7] => [2,3,4]
[6,9,5,8,1,2,3,4,7] => [2,2,5]
[9,2,4,6,8,1,3,5,7] => [1,4,4]
[9,4,6,8,1,2,3,5,7] => [1,3,5]
[9,6,8,1,2,3,4,5,7] => [1,2,6]
[3,5,7,9,1,2,4,6,8] => [4,5]
[5,7,9,1,2,3,4,6,8] => [3,6]
[7,9,1,2,3,4,5,6,8] => [2,7]
[7,6,5,4,3,2,9,8,1] => [1,1,1,1,1,2,1,1]
[9,6,5,4,3,2,8,1,7] => [1,1,1,1,1,2,2]
[9,7,5,4,3,2,1,8,6] => [1,1,1,1,1,1,2,1]
[7,6,5,4,3,9,2,8,1] => [1,1,1,1,2,2,1]
[8,6,5,4,3,2,9,7,1] => [1,1,1,1,1,2,1,1]
[9,1,2,3,5,4,6,7,8] => [1,4,4]
[2,3,4,6,5,7,8,9,1] => [4,4,1]
[9,1,2,3,5,6,4,7,8] => [1,5,3]
[2,3,4,7,5,6,8,9,1] => [4,4,1]
[2,3,4,6,7,5,8,9,1] => [5,3,1]
[8,7,6,4,3,5,2,1,9] => [1,1,1,1,2,1,2]
[8,7,6,3,5,4,2,1,9] => [1,1,1,2,1,1,2]
[1,9,8,7,5,4,6,3,2] => [2,1,1,1,2,1,1]
[1,9,8,7,4,6,5,3,2] => [2,1,1,2,1,1,1]
[7,6,5,8,4,3,2,1,9] => [1,1,2,1,1,1,2]
[7,6,5,4,9,3,2,1,8] => [1,1,1,2,1,1,2]
[7,6,5,4,3,8,2,1,9] => [1,1,1,1,2,1,2]
[7,6,5,4,3,2,8,1,9] => [1,1,1,1,1,2,2]
[6,9,8,5,4,3,2,1,7] => [2,1,1,1,1,1,2]
[7,5,8,9,4,3,2,1,6] => [1,3,1,1,1,2]
[7,6,4,8,9,3,2,1,5] => [1,1,3,1,1,2]
[7,6,5,3,9,8,2,1,4] => [1,1,1,2,1,1,2]
[7,6,5,4,2,8,9,1,3] => [1,1,1,1,3,2]
[7,6,5,4,3,1,8,9,2] => [1,1,1,1,1,3,1]
[6,5,8,7,4,3,2,1,9] => [1,2,1,1,1,1,2]
[7,5,4,8,6,3,2,1,9] => [1,1,2,1,1,1,2]
[5,9,8,7,4,3,2,1,6] => [2,1,1,1,1,1,2]
[7,6,4,3,9,5,2,1,8] => [1,1,1,2,1,1,2]
[7,4,8,9,6,3,2,1,5] => [1,3,1,1,1,2]
[7,6,5,3,2,8,4,1,9] => [1,1,1,1,2,1,2]
[7,6,3,8,9,5,2,1,4] => [1,1,3,1,1,2]
[7,6,5,4,2,1,8,3,9] => [1,1,1,1,1,2,2]
[7,6,5,2,9,8,4,1,3] => [1,1,1,2,1,1,2]
[7,6,5,4,1,8,9,3,2] => [1,1,1,1,3,1,1]
[2,3,4,5,6,8,9,7,1] => [7,1,1]
[2,3,4,5,7,8,9,6,1] => [7,1,1]
[2,3,5,6,7,8,9,4,1] => [7,1,1]
[2,4,5,6,7,8,9,3,1] => [7,1,1]
[2,3,4,5,8,1,9,7,6] => [5,2,1,1]
[2,3,4,7,1,8,9,6,5] => [4,3,1,1]
[2,3,6,1,7,8,9,4,5] => [3,4,2]
[2,5,1,6,7,8,9,4,3] => [2,5,1,1]
[4,1,5,6,7,8,9,3,2] => [1,6,1,1]
[2,3,4,5,8,9,6,7,1] => [6,2,1]
[2,3,4,7,8,5,9,6,1] => [5,2,1,1]
[2,3,6,7,4,8,9,1,5] => [4,3,2]
[2,3,4,8,1,5,9,7,6] => [4,3,1,1]
[2,5,6,3,7,8,9,4,1] => [3,4,1,1]
[2,3,7,1,4,8,9,6,5] => [3,4,1,1]
[4,5,2,6,7,8,9,3,1] => [2,5,1,1]
[2,6,1,3,7,8,9,4,5] => [2,5,2]
[5,1,2,6,7,8,9,4,3] => [1,6,1,1]
[8,1,9,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1]
[9,2,8,7,6,5,4,1,3] => [1,2,1,1,1,1,2]
[3,9,8,7,6,5,4,1,2] => [2,1,1,1,1,1,2]
[8,9,1,7,6,5,4,3,2] => [2,2,1,1,1,1,1]
[8,2,9,7,6,5,4,3,1] => [1,2,1,1,1,1,1,1]
[8,1,2,3,4,5,9,6,7] => [1,6,2]
[8,1,2,3,4,9,5,6,7] => [1,5,3]
[8,1,2,9,3,4,5,6,7] => [1,3,5]
[8,1,9,2,3,4,5,6,7] => [1,2,6]
[6,1,2,3,4,5,8,9,7] => [1,7,1]
[5,1,2,3,4,8,9,6,7] => [1,6,2]
[4,1,2,3,8,9,5,6,7] => [1,5,3]
[3,1,2,8,9,4,5,6,7] => [1,4,4]
[2,1,8,9,3,4,5,6,7] => [1,3,5]
[9,8,7,6,5,2,3,1,4] => [1,1,1,1,1,2,2]
[9,8,7,6,3,4,2,1,5] => [1,1,1,1,2,1,2]
[9,8,7,4,5,3,2,1,6] => [1,1,1,2,1,1,2]
[9,8,5,6,4,3,2,1,7] => [1,1,2,1,1,1,2]
[9,6,7,5,4,3,2,1,8] => [1,2,1,1,1,1,2]
[8,2,1,7,6,5,4,3,9] => [1,1,2,1,1,1,2]
[3,2,8,7,6,5,4,1,9] => [1,2,1,1,1,1,2]
[8,3,1,7,6,5,4,9,2] => [1,1,2,1,1,2,1]
[8,2,9,1,6,5,4,3,7] => [1,2,2,1,1,2]
[4,2,8,7,6,5,9,1,3] => [1,2,1,1,2,2]
[3,9,2,7,6,5,4,1,8] => [2,2,1,1,1,2]
[8,4,1,7,6,5,9,3,2] => [1,1,2,1,2,1,1]
[8,3,2,1,6,5,4,7,9] => [1,1,1,2,1,3]
[8,2,9,7,1,5,4,3,6] => [1,2,1,2,1,2]
[5,2,8,7,6,9,4,1,3] => [1,2,1,2,1,2]
[4,3,2,7,6,5,8,1,9] => [1,1,2,1,2,2]
[3,9,8,2,6,5,4,1,7] => [2,1,2,1,1,2]
[7,8,2,3,4,5,6,9,1] => [2,6,1]
[2,8,9,3,4,5,6,7,1] => [3,5,1]
[7,1,8,3,4,5,6,9,2] => [1,2,5,1]
[6,8,2,3,4,5,1,9,7] => [2,4,2,1]
[2,8,1,9,4,5,6,7,3] => [2,2,4,1]
[2,7,9,3,4,5,6,1,8] => [3,4,2]
[7,1,2,8,4,5,6,9,3] => [1,3,4,1]
[6,7,8,3,4,5,2,9,1] => [3,3,2,1]
[5,8,2,3,4,1,6,9,7] => [2,3,3,1]
[2,8,1,3,9,5,6,7,4] => [2,3,3,1]
[2,7,8,9,4,5,6,3,1] => [4,3,1,1]
[2,6,9,3,4,5,1,7,8] => [3,3,3]
[8,7,6,5,4,2,1,3,9] => [1,1,1,1,1,1,3]
[1,9,8,7,6,5,3,2,4] => [2,1,1,1,1,1,2]
[1,9,8,7,6,5,2,4,3] => [2,1,1,1,1,2,1]
[2,1,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1]
[1,2,9,8,7,6,5,4,3] => [3,1,1,1,1,1,1]
[3,2,1,9,8,7,6,5,4] => [1,1,2,1,1,1,1,1]
[1,3,2,9,8,7,6,5,4] => [2,2,1,1,1,1,1]
[1,2,3,9,8,7,6,5,4] => [4,1,1,1,1,1]
[4,3,2,1,9,8,7,6,5] => [1,1,1,2,1,1,1,1]
[1,4,3,2,9,8,7,6,5] => [2,1,2,1,1,1,1]
[2,1,4,3,9,8,7,6,5] => [1,2,2,1,1,1,1]
[1,2,4,3,9,8,7,6,5] => [3,2,1,1,1,1]
[1,2,3,4,9,8,7,6,5] => [5,1,1,1,1]
[1,5,4,3,2,9,8,7,6] => [2,1,1,2,1,1,1]
[2,1,5,4,3,9,8,7,6] => [1,2,1,2,1,1,1]
[1,2,5,4,3,9,8,7,6] => [3,1,2,1,1,1]
[1,3,2,5,4,9,8,7,6] => [2,2,2,1,1,1]
[1,2,3,5,4,9,8,7,6] => [4,2,1,1,1]
[1,2,3,4,5,9,8,7,6] => [6,1,1,1]
[1,3,2,6,5,4,9,8,7] => [2,2,1,2,1,1]
[1,2,3,6,5,4,9,8,7] => [4,1,2,1,1]
[2,1,4,3,6,5,9,8,7] => [1,2,2,2,1,1]
[1,2,4,3,6,5,9,8,7] => [3,2,2,1,1]
[1,2,3,4,6,5,9,8,7] => [5,2,1,1]
[1,2,3,5,4,7,6,9,8] => [4,2,2,1]
[1,2,3,4,5,7,6,9,8] => [6,2,1]
[9,8,7,6,5,2,1,4,3] => [1,1,1,1,1,1,2,1]
[9,8,7,3,2,1,6,5,4] => [1,1,1,1,1,2,1,1]
[9,8,7,6,3,1,5,2,4] => [1,1,1,1,1,2,2]
[9,4,3,2,1,8,7,6,5] => [1,1,1,1,2,1,1,1]
[9,8,4,3,1,7,6,2,5] => [1,1,1,1,2,1,2]
[9,8,7,2,1,4,3,6,5] => [1,1,1,1,2,2,1]
[9,8,7,4,1,6,2,3,5] => [1,1,1,1,2,3]
[5,4,3,1,9,8,7,2,6] => [1,1,1,2,1,1,2]
[9,5,2,1,8,4,3,7,6] => [1,1,1,2,1,2,1]
[9,8,3,1,5,2,7,4,6] => [1,1,1,2,2,2]
[6,3,1,9,5,2,8,4,7] => [1,1,2,1,2,2]
[6,5,1,9,8,2,3,4,7] => [1,1,2,1,4]
[9,2,1,4,3,6,5,8,7] => [1,1,2,2,2,1]
[9,6,1,8,2,3,4,5,7] => [1,1,2,5]
[5,1,7,2,9,3,4,6,8] => [1,2,2,4]
[7,1,9,2,3,4,5,6,8] => [1,2,6]
[9,1,8,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1]
[7,1,9,8,6,5,4,3,2] => [1,2,1,1,1,1,1,1]
[6,1,9,8,7,5,4,3,2] => [1,2,1,1,1,1,1,1]
[5,1,9,8,7,6,4,3,2] => [1,2,1,1,1,1,1,1]
[4,1,9,8,7,6,5,3,2] => [1,2,1,1,1,1,1,1]
[3,1,9,8,7,6,5,4,2] => [1,2,1,1,1,1,1,1]
[9,8,1,7,6,5,4,3,2] => [1,1,2,1,1,1,1,1]
[8,7,9,1,6,5,4,3,2] => [1,2,2,1,1,1,1]
[7,6,9,8,1,5,4,3,2] => [1,2,1,2,1,1,1]
[6,5,9,8,7,1,4,3,2] => [1,2,1,1,2,1,1]
[5,4,9,8,7,6,1,3,2] => [1,2,1,1,1,2,1]
[4,3,9,8,7,6,5,1,2] => [1,2,1,1,1,1,2]
[3,2,9,8,7,6,5,4,1] => [1,2,1,1,1,1,1,1]
[9,1,2,3,4,5,6,8,7] => [1,7,1]
[9,1,2,3,4,5,7,8,6] => [1,7,1]
[2,3,4,5,6,9,7,8,1] => [6,2,1]
[9,2,1,8,7,6,5,4,3] => [1,1,2,1,1,1,1,1]
[3,9,2,8,7,6,5,4,1] => [2,2,1,1,1,1,1]
[4,2,9,8,7,6,5,3,1] => [1,2,1,1,1,1,1,1]
[9,2,8,1,7,6,5,4,3] => [1,2,2,1,1,1,1]
[9,3,1,8,7,6,5,4,2] => [1,1,2,1,1,1,1,1]
[2,3,5,6,4,7,8,9,1] => [4,4,1]
[2,3,6,4,5,7,8,9,1] => [3,5,1]
[9,1,2,4,5,3,6,7,8] => [1,4,4]
[7,9,6,8,5,4,3,2,1] => [2,2,1,1,1,1,1]
[6,9,8,5,7,4,3,2,1] => [2,1,2,1,1,1,1]
[5,9,8,7,4,6,3,2,1] => [2,1,1,2,1,1,1]
[4,9,8,7,6,3,5,2,1] => [2,1,1,1,2,1,1]
[3,9,8,7,6,5,2,4,1] => [2,1,1,1,1,2,1]
[8,6,9,7,4,5,2,3,1] => [1,2,1,2,2,1]
[8,6,9,4,7,5,2,3,1] => [1,2,2,1,2,1]
[8,6,9,4,7,2,5,3,1] => [1,2,2,2,1,1]
[8,6,9,4,7,3,5,1,2] => [1,2,2,2,2]
[8,6,9,5,7,3,4,1,2] => [1,2,2,2,2]
[8,7,9,5,6,3,4,1,2] => [1,2,2,2,2]
[8,6,4,9,7,5,2,3,1] => [1,1,2,1,1,2,1]
[8,6,9,4,2,7,5,3,1] => [1,2,1,2,1,1,1]
[8,6,9,4,7,2,1,5,3] => [1,2,2,1,2,1]
[8,6,9,4,7,3,5,2,1] => [1,2,2,2,1,1]
[8,6,9,5,7,2,4,1,3] => [1,2,2,2,2]
[8,7,9,4,6,3,5,1,2] => [1,2,2,2,2]
[9,6,8,5,7,3,4,1,2] => [1,2,2,2,2]
[1,3,4,5,6,7,9,2,8] => [7,2]
[2,3,4,5,6,7,1,9,8] => [6,2,1]
[2,1,4,5,6,7,8,9,3] => [1,7,1]
[3,1,4,5,6,7,8,2,9] => [1,6,2]
[1,2,3,4,5,7,9,6,8] => [7,2]
[1,2,3,4,6,9,5,7,8] => [6,3]
[1,2,3,5,9,4,6,7,8] => [5,4]
[1,2,4,9,3,5,6,7,8] => [4,5]
[1,3,9,2,4,5,6,7,8] => [3,6]
[1,9,8,7,6,2,5,4,3] => [2,1,1,1,2,1,1]
[2,9,8,7,1,6,5,4,3] => [2,1,1,2,1,1,1]
[1,9,8,2,7,6,5,4,3] => [2,1,2,1,1,1,1]
[1,9,2,8,7,6,5,4,3] => [2,2,1,1,1,1,1]
[3,9,8,7,6,5,2,1,4] => [2,1,1,1,1,1,2]
[4,9,8,7,6,1,2,5,3] => [2,1,1,1,3,1]
[5,9,8,7,1,2,6,4,3] => [2,1,1,3,1,1]
[6,9,8,2,1,7,5,4,3] => [2,1,1,2,1,1,1]
[7,9,1,2,8,6,5,4,3] => [2,3,1,1,1,1]
[8,1,2,9,7,6,5,4,3] => [1,3,1,1,1,1,1]
[1,9,8,7,6,3,2,5,4] => [2,1,1,1,1,2,1]
[1,9,8,7,4,2,6,5,3] => [2,1,1,1,2,1,1]
[4,9,8,7,6,3,2,1,5] => [2,1,1,1,1,1,2]
[2,9,8,5,1,7,6,4,3] => [2,1,1,2,1,1,1]
[5,9,8,7,4,1,2,6,3] => [2,1,1,1,3,1]
[1,9,6,2,8,7,5,4,3] => [2,1,2,1,1,1,1]
[6,9,8,5,1,2,7,4,3] => [2,1,1,3,1,1]
[1,7,2,9,8,6,5,4,3] => [2,2,1,1,1,1,1]
[7,9,6,2,1,8,5,4,3] => [2,1,1,2,1,1,1]
[8,7,1,2,9,6,5,4,3] => [1,1,3,1,1,1,1]
[1,6,7,8,9,2,3,4,5] => [5,4]
[6,7,8,1,2,3,4,5,9] => [3,6]
[1,7,8,9,2,3,4,5,6] => [4,5]
[5,6,7,1,8,2,3,4,9] => [3,2,4]
[4,6,7,8,1,2,3,5,9] => [4,5]
[1,6,7,8,2,9,3,4,5] => [4,2,3]
[1,5,7,8,9,2,3,4,6] => [5,4]
[9,2,3,4,5,6,7,8,1] => [1,7,1]
[8,2,3,4,5,6,7,1,9] => [1,6,2]
[7,2,3,4,5,6,1,8,9] => [1,5,3]
[6,2,3,4,5,1,7,8,9] => [1,4,4]
[5,2,3,4,1,6,7,8,9] => [1,3,5]
[4,2,3,1,5,6,7,8,9] => [1,2,6]
[1,2,4,3,5,6,7,8,9] => [3,6]
[1,2,4,6,5,3,7,8,9] => [4,1,4]
[1,2,4,6,8,7,5,3,9] => [5,1,1,2]
[1,2,4,6,8,9,7,5,3] => [6,1,1,1]
[1,2,4,6,7,5,3,8,9] => [5,1,3]
[1,2,4,5,3,6,7,8,9] => [4,5]
[1,2,4,3,6,5,7,8,9] => [3,2,4]
[1,2,4,6,3,5,8,7,9] => [4,3,2]
[1,2,4,6,8,5,3,7,9] => [5,1,3]
[1,2,4,5,3,6,8,9,7] => [4,4,1]
[1,2,3,4,6,7,5,8,9] => [6,3]
[2,4,1,3,6,8,5,7,9] => [2,4,3]
[2,4,1,3,6,9,5,7,8] => [2,4,3]
[2,4,1,3,6,8,9,5,7] => [2,5,2]
[2,4,1,3,8,9,5,6,7] => [2,4,3]
[4,5,1,2,6,9,3,7,8] => [2,4,3]
[8,2,1,3,4,5,6,7,9] => [1,1,7]
[3,2,4,5,6,7,8,1,9] => [1,6,2]
[1,9,3,4,5,6,7,8,2] => [2,6,1]
[8,7,3,4,5,6,2,1,9] => [1,1,4,1,2]
[1,9,8,4,5,6,7,3,2] => [2,1,4,1,1]
[8,2,7,4,5,6,3,1,9] => [1,2,3,1,2]
[7,8,3,4,5,6,1,2,9] => [2,4,3]
[1,9,3,8,5,6,7,4,2] => [2,2,3,1,1]
[1,8,9,4,5,6,7,2,3] => [3,4,2]
[1,7,2,3,4,5,6,9,8] => [2,6,1]
[6,9,1,2,3,4,5,7,8] => [2,7]
[1,3,4,5,6,7,9,8,2] => [7,1,1]
[7,3,4,5,6,8,1,2,9] => [1,5,3]
[2,3,4,5,7,6,8,1,9] => [5,2,2]
[1,8,4,5,6,7,9,2,3] => [2,5,2]
[1,3,4,5,6,8,7,9,2] => [6,2,1]
[1,2,3,4,5,9,7,8,6] => [6,2,1]
[1,2,3,4,9,6,7,8,5] => [5,3,1]
[1,2,3,9,5,6,7,8,4] => [4,4,1]
[1,2,9,4,5,6,7,8,3] => [3,5,1]
[1,2,3,4,9,7,6,8,5] => [5,1,2,1]
[1,2,3,9,6,5,7,8,4] => [4,1,3,1]
[1,2,9,5,4,6,7,8,3] => [3,1,4,1]
[1,9,4,3,5,6,7,8,2] => [2,1,5,1]
[9,3,2,4,5,6,7,8,1] => [1,1,6,1]
[6,8,9,7,5,4,3,2,1] => [3,1,1,1,1,1,1]
[5,7,8,9,6,4,3,2,1] => [4,1,1,1,1,1]
[4,6,7,8,9,5,3,2,1] => [5,1,1,1,1]
[3,5,6,7,8,9,4,2,1] => [6,1,1,1]
[1,2,3,5,7,4,6,9,8] => [5,3,1]
[1,2,3,6,4,7,5,9,8] => [4,2,2,1]
[1,2,3,4,6,8,5,7,9] => [6,3]
[1,2,3,4,7,5,8,6,9] => [5,2,2]
[1,2,5,7,3,4,6,9,8] => [4,4,1]
[1,2,4,5,7,3,6,9,8] => [5,3,1]
[1,2,6,3,4,7,5,9,8] => [3,3,2,1]
[1,2,5,6,3,7,4,9,8] => [4,2,2,1]
[2,3,1,9,4,5,6,7,8] => [2,2,5]
[4,9,1,2,3,5,6,7,8] => [2,7]
[3,9,1,2,4,5,6,7,8] => [2,7]
[1,8,2,3,4,5,6,7,9] => [2,7]
[9,8,7,5,6,4,3,2,1] => [1,1,1,2,1,1,1,1]
[2,1,9,8,6,7,5,4,3] => [1,2,1,2,1,1,1]
[9,8,7,5,4,6,3,2,1] => [1,1,1,1,2,1,1,1]
[9,8,7,4,6,5,3,2,1] => [1,1,1,2,1,1,1,1]
[2,1,9,8,6,5,7,4,3] => [1,2,1,1,2,1,1]
[2,1,9,8,5,7,6,4,3] => [1,2,1,2,1,1,1]
[1,8,7,6,5,4,3,2,9] => [2,1,1,1,1,1,2]
[2,1,8,7,6,5,4,3,9] => [1,2,1,1,1,1,2]
[2,8,9,7,6,5,4,3,1] => [3,1,1,1,1,1,1]
[4,5,6,7,8,1,2,9,3] => [5,3,1]
[4,5,6,7,1,2,8,9,3] => [4,4,1]
[4,5,6,1,2,7,8,9,3] => [3,5,1]
[4,5,1,2,6,7,8,9,3] => [2,6,1]
[7,8,1,2,3,4,5,9,6] => [2,6,1]
[2,8,9,1,3,4,5,6,7] => [3,6]
[7,1,8,2,9,3,4,5,6] => [1,2,2,4]
[6,1,7,2,8,3,9,4,5] => [1,2,2,2,2]
[5,1,6,2,7,3,8,4,9] => [1,2,2,2,2]
[7,1,8,2,3,9,4,5,6] => [1,2,3,3]
[6,1,7,2,8,3,4,9,5] => [1,2,2,3,1]
[5,1,6,2,7,3,9,4,8] => [1,2,2,2,2]
[4,1,5,2,7,3,8,6,9] => [1,2,2,2,2]
[2,1,3,4,5,6,8,9,7] => [1,7,1]
[2,1,3,4,5,6,7,9,8] => [1,7,1]
[2,3,1,4,5,6,8,9,7] => [2,6,1]
[1,3,2,4,5,6,8,9,7] => [2,6,1]
[2,3,1,4,5,6,7,9,8] => [2,6,1]
[1,3,2,4,5,6,7,9,8] => [2,6,1]
[6,7,1,2,3,4,8,9,5] => [2,6,1]
[7,8,6,5,4,3,2,9,1] => [2,1,1,1,1,2,1]
[9,7,6,5,4,3,1,2,8] => [1,1,1,1,1,1,3]
[2,4,3,5,6,7,8,9,1] => [2,6,1]
[4,5,6,7,8,9,2,1,3] => [6,1,2]
[5,6,7,8,9,2,1,3,4] => [5,1,3]
[8,6,4,3,2,1,9,7,5] => [1,1,1,1,1,2,1,1]
[7,5,4,3,2,1,8,6,9] => [1,1,1,1,1,2,2]
[8,6,4,2,1,9,7,5,3] => [1,1,1,1,2,1,1,1]
[7,5,3,2,1,8,6,4,9] => [1,1,1,1,2,1,2]
[7,4,3,2,1,8,5,9,6] => [1,1,1,1,2,2,1]
[6,4,3,2,1,7,5,8,9] => [1,1,1,1,2,3]
[7,5,3,1,8,6,4,2,9] => [1,1,1,2,1,1,2]
[7,4,2,1,8,5,3,9,6] => [1,1,1,2,1,2,1]
[6,4,2,1,7,5,3,8,9] => [1,1,1,2,1,3]
[6,3,2,1,7,4,8,5,9] => [1,1,1,2,2,2]
[5,3,2,1,6,4,7,8,9] => [1,1,1,2,4]
[7,4,1,8,5,2,9,6,3] => [1,1,2,1,2,1,1]
[6,3,1,7,4,2,8,5,9] => [1,1,2,1,2,2]
[5,3,1,6,4,2,7,8,9] => [1,1,2,1,4]
[6,2,1,7,3,8,4,9,5] => [1,1,2,2,2,1]
[5,2,1,6,3,7,4,8,9] => [1,1,2,2,3]
[4,2,1,5,3,6,7,8,9] => [1,1,2,5]
[4,1,5,2,6,3,7,8,9] => [1,2,2,4]
[3,1,4,2,5,6,7,8,9] => [1,2,6]
[1,7,2,3,4,5,6,8,9] => [2,7]
[1,2,3,4,5,6,8,7,9] => [7,2]
[1,2,3,4,5,7,6,8,9] => [6,3]
[9,2,3,4,5,6,7,1,8] => [1,6,2]
[8,2,3,4,5,6,9,1,7] => [1,6,2]
[8,2,3,4,5,9,7,1,6] => [1,5,1,2]
[8,2,3,4,9,6,7,1,5] => [1,4,2,2]
[8,2,3,9,5,6,7,1,4] => [1,3,3,2]
[8,2,9,4,5,6,7,1,3] => [1,2,4,2]
[8,9,3,4,5,6,7,1,2] => [2,5,2]
[9,8,3,4,5,6,7,2,1] => [1,1,5,1,1]
[6,2,3,4,5,1,9,8,7] => [1,4,2,1,1]
[5,2,3,4,1,9,8,7,6] => [1,3,2,1,1,1]
[4,2,3,1,9,8,7,6,5] => [1,2,2,1,1,1,1]
[3,2,1,9,8,6,7,5,4] => [1,1,2,1,2,1,1]
[2,1,9,8,5,6,7,4,3] => [1,2,1,3,1,1]
[1,3,2,4,5,6,7,8,9] => [2,7]
[1,4,2,5,3,6,7,8,9] => [2,2,5]
[1,4,2,3,5,6,7,8,9] => [2,7]
[1,5,2,6,3,7,4,8,9] => [2,2,2,3]
[1,5,2,3,6,4,7,8,9] => [2,3,4]
[1,5,2,6,3,4,7,8,9] => [2,2,5]
[1,5,2,3,4,6,7,8,9] => [2,7]
[1,5,2,4,3,6,7,8,9] => [2,2,5]
[1,6,2,3,7,4,8,5,9] => [2,3,2,2]
[1,6,2,7,3,4,5,8,9] => [2,2,5]
[1,6,2,3,4,7,5,8,9] => [2,4,3]
[1,6,2,4,3,7,5,8,9] => [2,2,2,3]
[1,6,2,4,3,5,7,8,9] => [2,2,5]
[1,6,2,5,3,4,7,8,9] => [2,2,5]
[1,7,2,8,3,9,4,5,6] => [2,2,2,3]
[1,7,2,4,3,8,5,6,9] => [2,2,2,3]
[1,7,2,4,3,5,8,6,9] => [2,2,3,2]
[1,7,2,8,3,5,4,6,9] => [2,2,2,3]
[1,7,2,5,3,4,8,6,9] => [2,2,3,2]
[1,7,2,5,3,4,6,8,9] => [2,2,5]
[1,7,2,6,3,5,4,8,9] => [2,2,2,3]
[1,8,2,6,3,9,4,5,7] => [2,2,2,3]
[1,8,2,6,3,4,5,9,7] => [2,2,4,1]
[1,8,2,6,3,5,4,7,9] => [2,2,2,3]
[1,8,2,7,3,6,4,5,9] => [2,2,2,3]
[1,9,2,8,3,7,4,6,5] => [2,2,2,2,1]
[8,2,3,4,5,6,7,9,1] => [1,7,1]
[7,2,3,4,5,6,9,8,1] => [1,6,1,1]
[6,2,3,4,5,9,7,8,1] => [1,5,2,1]
[5,2,3,4,9,6,7,8,1] => [1,4,3,1]
[4,2,3,9,5,6,7,8,1] => [1,3,4,1]
[3,2,9,4,5,6,7,8,1] => [1,2,5,1]
[2,9,3,4,5,6,7,8,1] => [2,6,1]
[6,2,3,4,5,1,8,9,7] => [1,4,3,1]
[5,2,3,4,1,7,9,8,6] => [1,3,3,1,1]
[4,2,3,1,6,9,7,8,5] => [1,2,3,2,1]
[3,2,1,5,9,6,7,8,4] => [1,1,3,3,1]
[2,1,4,9,5,6,7,8,3] => [1,3,4,1]
[1,3,9,4,5,6,7,8,2] => [3,5,1]
[2,3,5,6,4,7,8,1,9] => [4,3,2]
[1,3,4,6,7,5,8,9,2] => [5,3,1]
[2,3,6,5,7,4,8,1,9] => [3,2,2,2]
[2,3,5,6,7,1,8,4,9] => [5,2,2]
[1,3,4,7,6,8,5,9,2] => [4,2,2,1]
[1,3,4,6,7,8,2,9,5] => [6,2,1]
[2,3,4,5,6,1,8,7,9] => [5,2,2]
[2,3,4,5,1,7,6,8,9] => [4,2,3]
[2,3,4,1,6,5,7,8,9] => [3,2,4]
[2,3,1,5,4,6,7,8,9] => [2,2,5]
[1,8,6,4,2,9,7,5,3] => [2,1,1,2,1,1,1]
[8,6,4,2,1,7,5,3,9] => [1,1,1,1,2,1,2]
[8,7,5,3,1,6,4,2,9] => [1,1,1,1,2,1,2]
[1,9,7,5,3,2,8,6,4] => [2,1,1,1,2,1,1]
[1,9,8,6,4,2,7,5,3] => [2,1,1,1,2,1,1]
[1,9,2,3,4,5,8,6,7] => [2,5,2]
[6,3,5,1,2,4,7,8,9] => [1,2,6]
[2,4,6,9,1,3,5,7,8] => [4,5]
[8,6,5,4,3,2,1,7,9] => [1,1,1,1,1,1,3]
[9,4,3,2,5,6,7,8,1] => [1,1,1,5,1]
[8,1,2,3,4,5,7,6,9] => [1,6,2]
[1,9,2,3,4,5,6,8,7] => [2,6,1]
[8,1,2,3,4,7,6,5,9] => [1,5,1,2]
[8,1,2,3,4,6,5,7,9] => [1,5,3]
[1,9,2,3,4,5,8,7,6] => [2,5,1,1]
[1,9,2,3,4,5,7,6,8] => [2,5,2]
[1,3,4,5,6,7,8,2,9] => [7,2]
[2,1,4,5,6,7,9,3,8] => [1,6,2]
[2,1,4,5,6,7,8,3,9] => [1,6,2]
[1,6,9,8,7,5,4,3,2] => [3,1,1,1,1,1,1]
[1,4,9,8,7,6,5,3,2] => [3,1,1,1,1,1,1]
[1,3,9,8,7,6,5,4,2] => [3,1,1,1,1,1,1]
[8,7,1,9,6,5,4,3,2] => [1,1,2,1,1,1,1,1]
[6,7,9,1,8,5,4,3,2] => [3,2,1,1,1,1]
[5,6,9,8,1,7,4,3,2] => [3,1,2,1,1,1]
[5,4,9,8,7,1,6,3,2] => [1,2,1,1,2,1,1]
[3,4,9,8,7,6,1,5,2] => [3,1,1,1,2,1]
[2,3,9,8,7,6,5,1,4] => [3,1,1,1,1,2]
[1,7,6,9,8,5,4,3,2] => [2,2,1,1,1,1,1]
[1,6,9,5,8,7,4,3,2] => [3,2,1,1,1,1]
[8,7,6,1,9,5,4,3,2] => [1,1,1,2,1,1,1,1]
[5,1,9,8,4,7,6,3,2] => [1,2,1,2,1,1,1]
[6,7,9,5,1,8,4,3,2] => [3,1,2,1,1,1]
[1,4,9,8,7,3,6,5,2] => [3,1,1,2,1,1]
[5,6,9,8,4,1,7,3,2] => [3,1,1,2,1,1]
[1,3,9,8,7,6,2,5,4] => [3,1,1,1,2,1]
[5,4,9,8,7,3,1,6,2] => [1,2,1,1,1,2,1]
[3,4,9,8,7,6,2,1,5] => [3,1,1,1,1,2]
[9,3,4,2,5,6,7,8,1] => [1,2,5,1]
[1,2,3,4,5,7,9,8,6] => [7,1,1]
[1,2,3,4,6,7,9,8,5] => [7,1,1]
[1,2,3,4,6,8,9,7,5] => [7,1,1]
[1,2,3,4,6,9,8,7,5] => [6,1,1,1]
[1,2,3,5,6,7,9,8,4] => [7,1,1]
[1,2,3,5,6,8,9,7,4] => [7,1,1]
[1,2,3,5,6,9,8,7,4] => [6,1,1,1]
[1,2,3,5,7,9,8,6,4] => [6,1,1,1]
[1,2,3,5,9,8,7,6,4] => [5,1,1,1,1]
[1,2,4,5,7,8,9,6,3] => [7,1,1]
[1,2,4,5,7,9,8,6,3] => [6,1,1,1]
[1,2,4,5,9,8,7,6,3] => [5,1,1,1,1]
[1,2,4,6,9,8,7,5,3] => [5,1,1,1,1]
[1,2,4,9,8,7,6,5,3] => [4,1,1,1,1,1]
[1,3,5,7,9,8,6,4,2] => [5,1,1,1,1]
[1,3,5,9,8,7,6,4,2] => [4,1,1,1,1,1]
[6,5,1,2,3,7,8,9,4] => [1,1,6,1]
[4,1,3,2,5,6,7,8,9] => [1,2,6]
[6,1,2,4,5,3,7,8,9] => [1,4,4]
[5,4,1,2,3,6,7,8,9] => [1,1,7]
[8,1,2,3,5,6,7,4,9] => [1,6,2]
[7,5,1,2,4,6,3,8,9] => [1,1,4,3]
[4,1,6,3,5,2,7,8,9] => [1,2,2,4]
[9,6,1,2,3,4,7,8,5] => [1,1,6,1]
[8,1,7,3,2,6,4,5,9] => [1,2,1,2,3]
[8,3,6,1,2,5,7,4,9] => [1,2,4,2]
[5,7,1,6,2,4,3,8,9] => [2,2,2,3]
[7,3,4,6,1,2,5,8,9] => [1,3,5]
[6,1,2,9,4,5,7,8,3] => [1,3,4,1]
[9,8,1,7,3,2,4,6,5] => [1,1,2,1,3,1]
[9,3,4,7,1,2,6,8,5] => [1,3,4,1]
[4,1,6,3,8,5,7,2,9] => [1,2,2,2,2]
[6,8,5,1,7,2,3,4,9] => [2,1,2,4]
[8,3,4,5,7,1,2,6,9] => [1,4,4]
[5,7,1,9,2,8,4,6,3] => [2,2,2,2,1]
[7,9,4,6,1,8,2,3,5] => [2,2,2,3]
[3,4,1,6,2,5,8,7,9] => [2,2,3,2]
[3,4,1,2,6,5,8,7,9] => [2,3,2,2]
[3,5,1,6,2,4,8,7,9] => [2,2,3,2]
[2,5,1,6,3,4,8,7,9] => [2,2,3,2]
[3,5,1,2,6,4,8,7,9] => [2,3,2,2]
[2,5,1,3,6,4,8,7,9] => [2,3,2,2]
[8,6,4,2,1,3,5,7,9] => [1,1,1,1,5]
[8,6,2,1,4,3,5,7,9] => [1,1,1,2,4]
[8,4,2,1,6,3,5,7,9] => [1,1,1,2,4]
[6,4,2,1,8,3,5,7,9] => [1,1,1,2,4]
[8,6,4,2,9,1,3,5,7] => [1,1,1,2,4]
[9,6,4,2,7,1,3,5,8] => [1,1,1,2,4]
[9,7,4,2,5,1,3,6,8] => [1,1,1,2,4]
[9,7,5,2,3,1,4,6,8] => [1,1,1,2,4]
[9,7,5,3,1,2,4,6,8] => [1,1,1,1,5]
[8,2,1,4,3,6,5,7,9] => [1,1,2,2,3]
[4,2,1,6,3,5,8,7,9] => [1,1,2,3,2]
[6,4,2,1,8,3,5,9,7] => [1,1,1,2,3,1]
[6,4,2,7,1,3,5,8,9] => [1,1,2,5]
[8,9,4,2,5,1,3,6,7] => [2,1,2,4]
[9,6,7,2,3,1,4,5,8] => [1,2,2,4]
[9,7,4,5,1,2,3,6,8] => [1,1,2,5]
[1,2,9,3,4,5,6,8,7] => [3,5,1]
[1,2,3,8,4,5,9,6,7] => [4,3,2]
[1,2,3,4,9,5,6,8,7] => [5,3,1]
[1,2,3,4,5,9,6,8,7] => [6,2,1]
[7,1,2,3,4,8,5,9,6] => [1,5,2,1]
[6,9,1,2,3,4,8,5,7] => [2,5,2]
[5,1,9,2,3,4,8,6,7] => [1,2,4,2]
[4,1,2,3,5,8,6,9,7] => [1,5,2,1]
[3,1,2,4,9,5,8,6,7] => [1,4,2,2]
[2,1,3,4,5,9,6,8,7] => [1,5,2,1]
[1,7,2,3,4,5,9,8,6] => [2,5,1,1]
[1,6,2,3,4,5,9,8,7] => [2,5,1,1]
[6,1,2,3,7,4,8,9,5] => [1,4,3,1]
[1,2,3,8,5,4,6,9,7] => [4,1,3,1]
[5,9,1,2,6,3,4,8,7] => [2,3,3,1]
[1,4,2,3,5,6,9,8,7] => [2,5,1,1]
[4,1,9,5,2,3,6,8,7] => [1,2,1,4,1]
[1,3,2,4,5,6,9,8,7] => [2,5,1,1]
[3,4,1,2,5,6,8,9,7] => [2,6,1]
[2,3,1,4,9,5,6,8,7] => [2,3,3,1]
[8,7,6,1,5,4,3,2,9] => [1,1,1,2,1,1,2]
[7,9,8,6,1,5,4,3,2] => [2,1,1,2,1,1,1]
[8,7,6,4,1,5,3,2,9] => [1,1,1,1,2,1,2]
[8,7,6,2,5,4,3,1,9] => [1,1,1,2,1,1,2]
[7,9,8,6,4,1,5,3,2] => [2,1,1,1,2,1,1]
[7,9,8,6,2,5,4,3,1] => [2,1,1,2,1,1,1]
[8,1,2,3,4,6,9,5,7] => [1,6,2]
[8,1,2,4,6,9,3,5,7] => [1,5,3]
[6,1,2,3,4,5,9,8,7] => [1,6,1,1]
[5,1,2,3,4,8,6,9,7] => [1,5,2,1]
[4,1,2,3,9,6,8,5,7] => [1,4,2,2]
[3,1,2,8,4,6,9,5,7] => [1,3,3,2]
[2,1,9,4,6,8,3,5,7] => [1,2,3,3]
[1,8,2,4,6,9,3,5,7] => [2,4,3]
[2,3,4,5,8,7,9,1,6] => [5,2,2]
[2,3,4,7,6,8,9,1,5] => [4,3,2]
[2,3,6,5,7,8,9,1,4] => [3,4,2]
[2,5,4,6,7,8,9,1,3] => [2,5,2]
[4,3,5,6,7,8,9,1,2] => [1,6,2]
[7,8,9,5,4,3,2,1,6] => [3,1,1,1,1,2]
[6,7,8,9,4,3,2,1,5] => [4,1,1,1,2]
[6,5,4,3,2,7,8,9,1] => [1,1,1,1,4,1]
[8,7,6,5,3,2,1,4,9] => [1,1,1,1,1,1,3]
[8,7,6,4,3,2,1,5,9] => [1,1,1,1,1,1,3]
[8,7,5,4,3,2,1,6,9] => [1,1,1,1,1,1,3]
[8,7,6,5,4,1,2,3,9] => [1,1,1,1,1,4]
[8,7,6,5,2,3,1,4,9] => [1,1,1,1,2,3]
[8,7,6,3,4,2,1,5,9] => [1,1,1,2,1,3]
[8,7,4,5,3,2,1,6,9] => [1,1,2,1,1,3]
[8,5,6,4,3,2,1,7,9] => [1,2,1,1,1,3]
[6,7,5,4,3,2,1,8,9] => [2,1,1,1,1,3]
[6,8,7,9,5,4,3,2,1] => [2,2,1,1,1,1,1]
[5,8,7,6,9,4,3,2,1] => [2,1,2,1,1,1,1]
[4,8,7,6,5,9,3,2,1] => [2,1,1,2,1,1,1]
[3,8,7,6,5,4,9,2,1] => [2,1,1,1,2,1,1]
[2,8,7,6,5,4,3,9,1] => [2,1,1,1,1,2,1]
[7,6,5,8,4,3,2,9,1] => [1,1,2,1,1,2,1]
[5,8,7,6,4,3,2,9,1] => [2,1,1,1,1,2,1]
[2,8,7,6,9,5,4,3,1] => [2,1,2,1,1,1,1]
[2,6,9,8,7,5,4,3,1] => [3,1,1,1,1,1,1]
[1,2,3,4,9,5,7,8,6] => [5,3,1]
[1,2,3,9,4,6,7,8,5] => [4,4,1]
[1,2,9,3,5,6,7,8,4] => [3,5,1]
[1,9,2,4,5,6,7,8,3] => [2,6,1]
[9,1,3,4,5,6,7,8,2] => [1,7,1]
[1,8,3,4,5,6,9,2,7] => [2,5,2]
[8,2,3,4,5,1,9,7,6] => [1,4,2,1,1]
[8,1,9,4,5,6,7,3,2] => [1,2,4,1,1]
[7,9,3,4,5,6,1,8,2] => [2,4,2,1]
[1,2,8,4,5,6,9,3,7] => [3,4,2]
[7,8,3,4,5,2,9,1,6] => [2,3,2,2]
[8,2,3,4,1,6,9,7,5] => [1,3,3,1,1]
[8,1,3,9,5,6,7,4,2] => [1,3,3,1,1]
[7,8,9,4,5,6,3,1,2] => [3,3,1,2]
[6,9,3,4,5,1,7,8,2] => [2,3,3,1]
[1,4,7,6,8,5,3,9,2] => [3,2,1,2,1]
[1,2,7,6,8,5,4,9,3] => [3,2,1,2,1]
[1,4,5,7,8,6,3,9,2] => [5,1,2,1]
[1,2,5,7,8,6,4,9,3] => [5,1,2,1]
[1,2,3,7,8,6,5,9,4] => [5,1,2,1]
[1,4,7,6,5,3,8,9,2] => [3,1,1,3,1]
[1,2,7,6,5,4,8,9,3] => [3,1,1,3,1]
[1,4,5,7,6,3,8,9,2] => [4,1,3,1]
[1,2,5,7,6,4,8,9,3] => [4,1,3,1]
[1,2,3,7,6,5,8,9,4] => [4,1,3,1]
[1,4,5,6,3,7,8,9,2] => [4,4,1]
[1,2,5,6,4,7,8,9,3] => [4,4,1]
[2,3,4,5,8,1,9,6,7] => [5,2,2]
[2,3,4,7,1,8,9,5,6] => [4,3,2]
[2,5,1,6,7,8,9,3,4] => [2,5,2]
[4,1,5,6,7,8,9,2,3] => [1,6,2]
[2,3,4,5,8,9,1,6,7] => [6,3]
[2,3,4,7,8,1,9,5,6] => [5,2,2]
[2,3,6,7,1,8,9,4,5] => [4,3,2]
[2,3,4,8,1,5,9,6,7] => [4,3,2]
[2,5,6,1,7,8,9,3,4] => [3,4,2]
[2,3,7,1,4,8,9,5,6] => [3,4,2]
[4,5,1,6,7,8,9,2,3] => [2,5,2]
[5,1,2,6,7,8,9,3,4] => [1,6,2]
[9,8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,2,1]
[2,3,9,8,7,6,5,4,1] => [3,1,1,1,1,1,1]
[9,1,3,2,4,5,6,7,8] => [1,2,6]
[7,9,8,1,6,5,4,3,2] => [2,1,2,1,1,1,1]
[9,7,8,1,6,5,4,3,2] => [1,2,2,1,1,1,1]
[9,8,7,1,6,5,4,3,2] => [1,1,1,2,1,1,1,1]
[6,9,8,7,1,5,4,3,2] => [2,1,1,2,1,1,1]
[9,6,8,7,1,5,4,3,2] => [1,2,1,2,1,1,1]
[8,9,6,7,1,5,4,3,2] => [2,2,2,1,1,1]
[9,8,6,7,1,5,4,3,2] => [1,1,2,2,1,1,1]
[9,8,7,6,1,5,4,3,2] => [1,1,1,1,2,1,1,1]
[9,5,8,7,6,1,4,3,2] => [1,2,1,1,2,1,1]
[8,9,5,7,6,1,4,3,2] => [2,2,1,2,1,1]
[9,8,5,7,6,1,4,3,2] => [1,1,2,1,2,1,1]
[9,7,8,5,6,1,4,3,2] => [1,2,2,2,1,1]
[9,8,7,5,6,1,4,3,2] => [1,1,1,2,2,1,1]
[9,8,7,6,5,1,4,3,2] => [1,1,1,1,1,2,1,1]
[7,9,8,4,6,5,1,3,2] => [2,1,2,1,2,1]
[9,7,8,4,6,5,1,3,2] => [1,2,2,1,2,1]
[9,8,7,4,6,5,1,3,2] => [1,1,1,2,1,2,1]
[9,8,6,7,4,5,1,3,2] => [1,1,2,2,2,1]
[9,8,7,6,4,5,1,3,2] => [1,1,1,1,2,2,1]
[3,5,2,4,7,6,9,8,1] => [2,3,2,1,1]
[3,5,2,7,4,6,9,8,1] => [2,2,3,1,1]
[3,5,2,7,4,9,6,8,1] => [2,2,2,2,1]
[3,5,2,7,4,9,6,1,8] => [2,2,2,1,2]
[3,5,2,7,4,8,6,1,9] => [2,2,2,1,2]
[3,5,2,6,4,8,7,1,9] => [2,2,2,1,2]
[3,4,2,6,5,8,7,1,9] => [2,2,2,1,2]
[2,4,3,6,5,8,7,1,9] => [2,2,2,1,2]
[3,5,7,2,4,6,9,8,1] => [3,4,1,1]
[3,5,2,7,9,4,6,8,1] => [2,3,3,1]
[3,5,2,7,4,9,1,8,6] => [2,2,2,2,1]
[3,5,2,7,4,8,6,9,1] => [2,2,2,2,1]
[3,5,2,6,4,9,7,1,8] => [2,2,2,1,2]
[3,4,2,7,5,8,6,1,9] => [2,2,2,1,2]
[2,5,3,6,4,8,7,1,9] => [2,2,2,1,2]
[3,5,1,2,4,7,6,9,8] => [2,4,2,1]
[3,1,5,7,2,4,6,9,8] => [1,3,4,1]
[3,1,5,2,7,9,4,6,8] => [1,2,3,3]
[3,1,5,2,6,4,9,7,8] => [1,2,2,2,2]
[3,1,4,2,7,5,8,6,9] => [1,2,2,2,2]
[2,1,5,3,6,4,8,7,9] => [1,2,2,2,2]
[3,4,5,6,7,8,2,9,1] => [6,2,1]
[1,4,5,6,7,8,3,9,2] => [6,2,1]
[3,4,5,6,7,2,1,9,8] => [5,1,2,1]
[2,1,5,6,7,8,9,4,3] => [1,6,1,1]
[2,4,5,6,7,8,3,1,9] => [6,1,2]
[8,7,6,4,5,3,2,9,1] => [1,1,1,2,1,2,1]
[2,9,8,7,5,6,4,3,1] => [2,1,1,2,1,1,1]
[8,7,5,4,3,6,2,9,1] => [1,1,1,1,2,2,1]
[8,7,3,6,5,4,2,9,1] => [1,1,2,1,1,2,1]
[2,9,8,6,5,4,7,3,1] => [2,1,1,1,2,1,1]
[2,9,8,4,7,6,5,3,1] => [2,1,2,1,1,1,1]
[1,8,3,6,5,7,4,9,2] => [2,2,2,2,1]
[1,2,8,6,5,7,4,9,3] => [3,1,2,2,1]
[1,8,3,4,6,7,5,9,2] => [2,4,2,1]
[1,2,8,4,6,7,5,9,3] => [3,3,2,1]
[1,2,3,8,6,7,5,9,4] => [4,2,2,1]
[1,7,3,6,5,4,8,9,2] => [2,2,1,3,1]
[1,7,3,4,6,5,8,9,2] => [2,3,3,1]
[1,2,7,4,6,5,8,9,3] => [3,2,3,1]
[1,6,3,4,5,7,8,9,2] => [2,6,1]
[1,2,6,4,5,7,8,9,3] => [3,5,1]
[5,4,2,1,3,6,7,8,9] => [1,1,1,6]
[7,5,2,1,3,6,4,8,9] => [1,1,1,3,3]
[6,3,5,2,1,4,7,8,9] => [1,2,1,5]
[9,6,2,1,3,4,7,8,5] => [1,1,1,5,1]
[8,1,7,3,4,6,2,5,9] => [1,2,3,3]
[8,3,6,2,1,4,7,5,9] => [1,2,1,3,2]
[5,7,2,6,4,1,3,8,9] => [2,2,1,4]
[7,3,4,6,2,1,5,8,9] => [1,3,1,4]
[9,8,2,7,4,1,5,3,6] => [1,1,2,1,2,2]
[9,3,4,7,2,1,5,8,6] => [1,3,1,3,1]
[6,8,5,3,7,2,1,4,9] => [2,1,2,1,3]
[8,3,4,5,7,2,1,6,9] => [1,4,1,3]
[5,7,2,9,4,8,6,1,3] => [2,2,2,1,2]
[7,9,4,6,3,8,2,1,5] => [2,2,2,1,2]
[9,3,4,5,6,8,2,1,7] => [1,5,1,2]
[8,6,9,7,5,4,3,2,1] => [1,2,1,1,1,1,1,1]
[8,7,5,9,6,4,3,2,1] => [1,1,2,1,1,1,1,1]
[8,7,6,4,9,5,3,2,1] => [1,1,1,2,1,1,1,1]
[8,7,6,5,3,9,4,2,1] => [1,1,1,1,2,1,1,1]
[8,7,6,5,4,2,9,3,1] => [1,1,1,1,1,2,1,1]
[5,6,4,7,3,8,2,9,1] => [2,2,2,2,1]
[5,6,4,7,3,9,2,8,1] => [2,2,2,2,1]
[5,6,4,9,3,7,2,8,1] => [2,2,2,2,1]
[5,9,4,6,3,7,2,8,1] => [2,2,2,2,1]
[9,5,4,6,3,7,2,8,1] => [1,1,2,2,2,1]
[5,4,9,6,3,7,2,8,1] => [1,2,1,2,2,1]
[5,4,6,3,9,7,2,8,1] => [1,2,2,1,2,1]
[5,4,6,3,7,2,9,8,1] => [1,2,2,2,1,1]
[5,4,6,3,7,2,8,1,9] => [1,2,2,2,2]
[5,6,4,9,3,8,2,7,1] => [2,2,2,2,1]
[5,9,4,7,3,6,2,8,1] => [2,2,2,2,1]
[9,4,6,5,3,7,2,8,1] => [1,2,1,2,2,1]
[4,5,9,6,3,7,2,8,1] => [3,1,2,2,1]
[5,3,6,4,9,7,2,8,1] => [1,2,2,1,2,1]
[5,4,6,2,7,3,9,8,1] => [1,2,2,2,1,1]
[5,4,6,3,7,1,8,2,9] => [1,2,2,2,2]
[1,8,3,4,5,6,7,9,2] => [2,6,1]
[7,2,3,4,5,6,1,9,8] => [1,5,2,1]
[2,1,9,4,5,6,7,8,3] => [1,2,5,1]
[2,8,3,4,5,6,7,1,9] => [2,5,2]
[2,9,1,8,7,6,5,4,3] => [2,2,1,1,1,1,1]
[2,9,8,1,7,6,5,4,3] => [2,1,2,1,1,1,1]
[7,6,5,4,3,1,9,2,8] => [1,1,1,1,1,2,2]
[8,7,6,5,4,1,2,9,3] => [1,1,1,1,1,3,1]
[7,6,5,4,2,1,9,3,8] => [1,1,1,1,1,2,2]
[6,5,4,3,1,9,7,2,8] => [1,1,1,1,2,1,2]
[8,7,6,5,3,1,2,9,4] => [1,1,1,1,1,3,1]
[7,6,5,4,1,2,9,8,3] => [1,1,1,1,3,1,1]
[7,6,5,3,2,1,9,4,8] => [1,1,1,1,1,2,2]
[6,5,4,1,7,2,9,3,8] => [1,1,1,2,2,2]
[5,4,3,1,9,7,6,2,8] => [1,1,1,2,1,1,2]
[8,7,6,4,3,1,2,9,5] => [1,1,1,1,1,3,1]
[7,6,5,1,2,8,3,9,4] => [1,1,1,3,2,1]
[6,5,4,1,2,9,8,7,3] => [1,1,1,3,1,1,1]
[8,7,1,2,3,4,5,6,9] => [1,1,7]
[7,8,5,6,1,2,3,4,9] => [2,2,5]
[2,5,1,8,3,4,9,6,7] => [2,2,3,2]
[2,3,1,8,4,5,9,6,7] => [2,2,3,2]
[2,5,6,8,1,3,9,4,7] => [4,3,2]
[2,3,6,8,1,4,9,5,7] => [4,3,2]
[2,5,1,3,4,8,9,6,7] => [2,5,2]
[2,3,1,4,5,8,9,6,7] => [2,5,2]
[2,5,6,1,3,8,9,4,7] => [3,4,2]
[2,3,6,1,4,8,9,5,7] => [3,4,2]
[2,3,4,1,5,8,9,6,7] => [3,4,2]
[6,1,2,3,4,5,7,8,9] => [1,8]
[5,1,2,3,4,6,7,8,9] => [1,8]
[4,1,2,3,5,6,7,8,9] => [1,8]
[9,8,2,3,4,5,6,7,1] => [1,1,6,1]
[8,9,2,3,4,5,6,7,1] => [2,6,1]
[9,8,7,3,4,5,6,2,1] => [1,1,1,4,1,1]
[7,9,8,3,4,5,6,2,1] => [2,1,4,1,1]
[7,8,9,3,4,5,6,2,1] => [3,4,1,1]
[9,8,7,6,4,5,3,2,1] => [1,1,1,1,2,1,1,1]
[6,9,8,7,4,5,3,2,1] => [2,1,1,2,1,1,1]
[7,6,9,8,4,5,3,2,1] => [1,2,1,2,1,1,1]
[6,7,9,8,4,5,3,2,1] => [3,1,2,1,1,1]
[6,5,9,8,7,4,3,2,1] => [1,2,1,1,1,1,1,1]
[5,6,9,8,7,4,3,2,1] => [3,1,1,1,1,1,1]
[5,7,6,9,8,4,3,2,1] => [2,2,1,1,1,1,1]
[5,6,7,9,8,4,3,2,1] => [4,1,1,1,1,1]
[6,5,4,7,8,9,3,2,1] => [1,1,4,1,1,1]
[4,6,5,7,8,9,3,2,1] => [2,4,1,1,1]
[7,6,9,8,1,2,5,4,3] => [1,2,1,3,1,1]
[6,7,9,8,1,2,5,4,3] => [3,1,3,1,1]
[6,7,8,9,1,2,5,4,3] => [4,3,1,1]
[5,6,7,8,9,1,4,3,2] => [5,2,1,1]
[5,7,6,9,8,2,1,4,3] => [2,2,1,1,2,1]
[5,6,7,9,8,2,1,4,3] => [4,1,1,2,1]
[5,6,7,8,9,2,1,4,3] => [5,1,2,1]
[5,6,7,8,9,1,2,4,3] => [5,3,1]
[2,4,3,1,6,5,8,7,9] => [2,1,2,2,2]
[2,4,3,6,5,1,8,7,9] => [2,2,1,2,2]
[2,4,3,6,5,8,7,9,1] => [2,2,2,2,1]
[2,4,3,6,5,7,1,9,8] => [2,2,2,2,1]
[2,4,3,5,1,7,6,9,8] => [2,2,2,2,1]
[2,6,4,3,5,1,8,7,9] => [2,1,2,2,2]
[2,4,3,8,6,5,7,1,9] => [2,2,1,2,2]
[2,4,3,6,5,9,8,7,1] => [2,2,2,1,1,1]
[2,4,3,6,5,7,1,8,9] => [2,2,2,3]
[2,4,3,5,1,8,7,9,6] => [2,2,2,2,1]
[2,3,1,6,5,7,4,9,8] => [2,2,2,2,1]
[1,4,3,5,2,7,6,9,8] => [2,2,2,2,1]
[1,8,2,9,3,7,4,6,5] => [2,2,2,2,1]
[1,8,2,7,3,9,4,6,5] => [2,2,2,2,1]
[1,8,2,7,3,6,4,9,5] => [2,2,2,2,1]
[1,8,2,7,3,6,9,4,5] => [2,2,3,2]
[1,8,2,7,9,3,6,4,5] => [2,3,2,2]
[1,8,9,2,7,3,6,4,5] => [3,2,2,2]
[1,7,3,9,2,8,4,6,5] => [2,2,2,2,1]
[1,8,2,6,4,9,3,7,5] => [2,2,2,2,1]
[1,8,2,7,3,5,9,4,6] => [2,2,3,2]
[1,9,8,2,3,4,5,6,7] => [2,1,6]
[1,2,9,8,3,4,5,6,7] => [3,1,5]
[1,7,9,8,2,3,4,5,6] => [3,1,5]
[1,8,9,3,4,5,6,7,2] => [3,5,1]
[1,2,3,9,8,4,5,6,7] => [4,1,4]
[1,9,8,3,4,5,6,2,7] => [2,1,4,2]
[1,6,7,9,8,2,3,4,5] => [4,1,4]
[1,3,4,9,5,6,7,8,2] => [4,4,1]
[1,9,4,5,6,7,2,3,8] => [2,4,3]
[1,7,8,9,3,4,5,6,2] => [4,4,1]
[1,2,3,4,6,9,7,8,5] => [6,2,1]
[1,2,3,5,9,6,7,8,4] => [5,3,1]
[1,2,4,9,5,6,7,8,3] => [4,4,1]
[3,4,5,6,1,8,9,2,7] => [4,3,2]
[3,4,5,6,8,1,9,2,7] => [5,2,2]
[3,4,5,6,8,9,1,2,7] => [6,3]
[2,4,5,1,6,7,8,9,3] => [3,5,1]
[2,3,4,1,6,7,8,9,5] => [3,5,1]
[3,4,5,6,1,2,9,7,8] => [4,3,2]
[3,4,5,6,8,1,2,7,9] => [5,4]
[3,4,5,1,6,7,8,2,9] => [3,4,2]
[5,6,1,7,8,9,2,3,4] => [2,4,3]
[1,3,5,2,6,7,8,9,4] => [3,5,1]
[2,1,4,3,6,7,8,9,5] => [1,2,5,1]
[2,3,1,5,6,7,8,9,4] => [2,6,1]
[9,7,8,5,4,3,2,1,6] => [1,2,1,1,1,1,2]
[1,2,3,4,6,5,7,8,9] => [5,4]
[1,2,3,5,4,6,7,8,9] => [4,5]
[1,8,2,3,4,5,9,6,7] => [2,5,2]
[1,6,2,3,4,5,7,8,9] => [2,7]
[1,3,4,5,6,2,7,8,9] => [5,4]
[1,3,4,5,6,8,9,2,7] => [7,2]
[4,5,2,3,6,7,8,9,1] => [2,6,1]
[4,3,2,5,6,7,8,9,1] => [1,1,6,1]
[5,6,7,2,3,4,8,9,1] => [3,5,1]
[5,3,6,2,4,7,8,9,1] => [1,2,5,1]
[5,4,3,2,6,7,8,9,1] => [1,1,1,5,1]
[6,3,7,8,2,4,5,9,1] => [1,3,4,1]
[6,7,4,5,2,3,8,9,1] => [2,2,4,1]
[6,4,3,7,2,5,8,9,1] => [1,1,2,4,1]
[7,3,8,9,1,4,5,6,2] => [1,3,4,1]
[7,8,4,5,9,2,3,6,1] => [2,3,3,1]
[7,4,3,8,9,2,5,6,1] => [1,1,3,3,1]
[7,5,8,3,6,2,4,9,1] => [1,2,2,3,1]
[7,5,4,3,8,2,6,9,1] => [1,1,1,2,3,1]
[7,6,5,4,3,2,8,9,1] => [1,1,1,1,1,3,1]
[8,9,1,6,7,2,4,5,3] => [2,3,3,1]
[8,5,9,3,6,1,4,7,2] => [1,2,2,3,1]
[8,5,4,3,9,1,6,7,2] => [1,1,1,2,3,1]
[8,6,4,9,3,7,2,5,1] => [1,1,2,2,2,1]
[8,6,5,4,3,9,2,7,1] => [1,1,1,1,2,2,1]
[9,7,1,6,2,5,3,8,4] => [1,1,2,2,2,1]
[9,7,5,4,1,6,2,8,3] => [1,1,1,1,2,2,1]
[3,1,6,2,4,7,5,9,8] => [1,2,3,2,1]
[2,3,1,4,6,7,5,8,9] => [2,4,3]
[2,4,1,5,6,7,3,8,9] => [2,4,3]
[2,3,1,4,6,8,5,9,7] => [2,4,2,1]
[2,4,1,6,7,8,3,9,5] => [2,4,2,1]
[2,3,1,6,4,5,7,8,9] => [2,2,5]
[2,4,1,5,3,6,7,8,9] => [2,2,5]
[2,3,1,6,4,5,8,9,7] => [2,2,4,1]
[2,4,1,5,3,6,8,9,7] => [2,2,4,1]
[2,3,1,6,4,8,5,7,9] => [2,2,2,3]
[2,4,1,5,3,8,6,7,9] => [2,2,2,3]
[8,9,2,3,4,5,1,6,7] => [2,4,3]
[6,5,7,8,9,1,2,3,4] => [1,4,4]
[7,1,2,3,4,5,8,6,9] => [1,6,2]
[6,1,2,3,4,7,5,8,9] => [1,5,3]
[5,1,2,3,6,4,7,8,9] => [1,4,4]
[4,1,2,5,3,6,7,8,9] => [1,3,5]
[8,1,2,3,4,5,9,7,6] => [1,6,1,1]
[8,1,2,3,4,9,6,7,5] => [1,5,2,1]
[9,1,2,3,8,5,6,7,4] => [1,4,3,1]
[8,1,2,9,4,5,6,7,3] => [1,3,4,1]
[8,1,9,3,4,5,6,7,2] => [1,2,5,1]
[8,1,2,3,4,6,9,7,5] => [1,6,1,1]
[8,1,2,3,5,9,6,7,4] => [1,5,2,1]
[9,1,2,4,8,5,6,7,3] => [1,4,3,1]
[8,1,3,9,4,5,6,7,2] => [1,3,4,1]
[8,2,9,3,4,5,6,7,1] => [1,2,5,1]
[7,1,2,3,4,9,8,6,5] => [1,5,1,1,1]
[6,1,2,3,9,8,5,7,4] => [1,4,1,2,1]
[9,1,2,3,4,6,7,8,5] => [1,7,1]
[8,1,2,9,5,4,6,7,3] => [1,3,1,3,1]
[8,1,2,3,5,6,9,7,4] => [1,6,1,1]
[4,1,9,8,3,5,6,7,2] => [1,2,1,4,1]
[8,1,2,4,5,9,6,7,3] => [1,5,2,1]
[3,9,8,2,4,5,6,7,1] => [2,1,5,1]
[9,1,3,4,8,5,6,7,2] => [1,4,3,1]
[8,2,3,9,4,5,6,7,1] => [1,3,4,1]
[1,2,3,4,5,8,9,6,7] => [7,2]
[1,2,3,4,7,9,5,8,6] => [6,2,1]
[1,2,3,6,9,4,7,8,5] => [5,3,1]
[1,2,5,9,3,6,7,8,4] => [4,4,1]
[1,4,9,2,5,6,7,8,3] => [3,5,1]
[3,9,1,4,5,6,7,8,2] => [2,6,1]
[2,8,1,9,3,4,5,6,7] => [2,2,5]
[1,4,2,3,6,5,8,7,9] => [2,3,2,2]
[1,3,4,2,6,5,8,7,9] => [3,2,2,2]
[2,3,1,4,6,5,8,7,9] => [2,3,2,2]
[4,6,1,2,3,5,8,7,9] => [2,5,2]
[3,4,5,1,6,2,8,7,9] => [3,2,2,2]
[3,1,2,4,6,5,8,7,9] => [1,4,2,2]
[1,2,3,4,5,8,6,7,9] => [6,3]
[2,1,3,4,5,6,9,7,8] => [1,6,2]
[3,1,2,4,5,8,6,7,9] => [1,5,3]
[1,2,3,4,5,7,8,6,9] => [7,2]
[3,4,1,2,5,6,9,7,8] => [2,5,2]
[7,1,9,3,4,5,6,2,8] => [1,2,4,2]
[9,8,2,1,3,4,5,6,7] => [1,1,1,6]
[7,2,1,9,4,5,6,3,8] => [1,1,2,3,2]
[6,9,7,3,4,5,1,2,8] => [2,1,3,3]
[3,8,1,2,9,5,6,7,4] => [2,3,3,1]
[8,7,9,1,2,3,4,5,6] => [1,2,6]
[7,2,3,1,9,5,6,4,8] => [1,2,2,2,2]
[6,1,2,7,4,5,9,3,8] => [1,3,3,2]
[5,9,6,3,4,1,7,2,8] => [2,1,2,2,2]
[3,8,1,4,2,9,6,7,5] => [2,2,2,2,1]
[9,7,2,3,8,5,6,1,4] => [1,1,3,2,2]
[7,6,9,1,2,3,4,8,5] => [1,2,5,1]
[5,6,7,9,1,2,3,8,4] => [4,4,1]
[5,9,3,8,1,7,6,4,2] => [2,2,2,1,1,1]
[3,9,1,8,7,6,5,4,2] => [2,2,1,1,1,1,1]
[7,6,8,9,1,2,3,4,5] => [1,3,5]
[5,4,6,7,8,9,1,2,3] => [1,5,3]
[1,4,3,2,5,6,7,8,9] => [2,1,6]
[8,1,7,2,3,4,5,6,9] => [1,2,6]
[2,3,4,6,7,8,9,5,1] => [7,1,1]
[2,3,4,5,6,9,8,7,1] => [6,1,1,1]
[2,3,4,5,8,7,9,6,1] => [5,2,1,1]
[2,3,4,7,6,8,9,5,1] => [4,3,1,1]
[2,3,6,5,7,8,9,4,1] => [3,4,1,1]
[2,5,4,6,7,8,9,3,1] => [2,5,1,1]
[4,3,5,6,7,8,9,2,1] => [1,6,1,1]
[2,3,4,5,8,9,7,6,1] => [6,1,1,1]
[2,3,4,7,8,6,9,5,1] => [5,2,1,1]
[2,3,4,5,9,8,7,6,1] => [5,1,1,1,1]
[2,3,6,7,5,8,9,4,1] => [4,3,1,1]
[2,3,4,8,7,6,9,5,1] => [4,1,2,1,1]
[2,5,6,4,7,8,9,3,1] => [3,4,1,1]
[2,3,7,6,5,8,9,4,1] => [3,1,3,1,1]
[4,5,3,6,7,8,9,2,1] => [2,5,1,1]
[2,6,5,4,7,8,9,3,1] => [2,1,4,1,1]
[5,4,3,6,7,8,9,2,1] => [1,1,5,1,1]
[3,4,5,6,7,1,2,8,9] => [5,4]
[1,3,2,9,4,5,6,7,8] => [2,2,5]
[1,3,8,2,4,5,6,7,9] => [3,6]
[2,3,5,1,4,7,6,9,8] => [3,3,2,1]
[3,4,1,5,2,7,6,9,8] => [2,2,2,2,1]
[4,1,2,5,3,7,6,9,8] => [1,3,2,2,1]
[4,2,6,8,1,3,5,7,9] => [1,3,5]
[4,6,2,8,1,3,5,7,9] => [2,2,5]
[4,6,8,2,1,3,5,7,9] => [3,1,5]
[4,6,8,2,9,1,3,5,7] => [3,2,4]
[4,6,2,7,9,1,3,5,8] => [2,3,4]
[4,2,5,7,9,1,3,6,8] => [1,4,4]
[2,3,5,7,9,1,4,6,8] => [5,4]
[6,4,2,8,1,3,5,7,9] => [1,1,2,5]
[8,4,6,2,1,3,5,7,9] => [1,2,1,5]
[4,6,8,9,2,1,3,5,7] => [4,1,4]
[4,6,2,7,1,3,5,8,9] => [2,2,5]
[4,8,2,5,9,1,3,6,7] => [2,3,4]
[6,2,3,7,9,1,4,5,8] => [1,4,4]
[1,4,5,7,9,2,3,6,8] => [5,4]
[8,6,4,9,7,5,3,2,1] => [1,1,2,1,1,1,1,1]
[7,8,5,9,6,4,3,2,1] => [2,2,1,1,1,1,1]
[8,6,4,2,9,7,5,3,1] => [1,1,1,2,1,1,1,1]
[7,8,5,3,9,6,4,2,1] => [2,1,2,1,1,1,1]
[7,4,8,5,9,6,3,2,1] => [1,2,2,1,1,1,1]
[6,7,8,4,9,5,3,2,1] => [3,2,1,1,1,1]
[7,8,5,3,1,9,6,4,2] => [2,1,1,2,1,1,1]
[7,4,8,5,2,9,6,3,1] => [1,2,1,2,1,1,1]
[6,7,8,4,2,9,5,3,1] => [3,1,2,1,1,1]
[6,7,3,8,4,9,5,2,1] => [2,2,2,1,1,1]
[5,6,7,8,3,9,4,2,1] => [4,2,1,1,1]
[6,7,3,8,4,1,9,5,2] => [2,2,1,2,1,1]
[5,6,7,8,3,1,9,4,2] => [4,1,2,1,1]
[6,2,7,3,8,4,9,5,1] => [1,2,2,2,1,1]
[5,6,7,2,8,3,9,4,1] => [3,2,2,1,1]
[4,5,6,7,8,2,9,3,1] => [5,2,1,1]
[5,6,1,7,2,8,3,9,4] => [2,2,2,2,1]
[4,5,6,7,1,8,2,9,3] => [4,2,2,1]
[2,3,4,5,9,6,7,8,1] => [5,3,1]
[2,3,4,9,5,6,7,8,1] => [4,4,1]
[2,3,9,4,5,6,7,8,1] => [3,5,1]
[2,3,4,5,9,7,6,8,1] => [5,1,2,1]
[2,3,4,9,6,5,7,8,1] => [4,1,3,1]
[2,3,9,5,4,6,7,8,1] => [3,1,4,1]
[2,9,4,3,5,6,7,8,1] => [2,1,5,1]
[2,3,4,5,9,7,8,6,1] => [5,2,1,1]
[2,3,4,9,6,7,5,8,1] => [4,2,2,1]
[2,3,9,5,6,4,7,8,1] => [3,2,3,1]
[2,3,4,9,7,6,5,8,1] => [4,1,1,2,1]
[2,9,4,5,3,6,7,8,1] => [2,2,4,1]
[2,3,9,6,5,4,7,8,1] => [3,1,1,3,1]
[2,9,5,4,3,6,7,8,1] => [2,1,1,4,1]
[2,1,8,3,4,5,6,7,9] => [1,2,6]
[1,9,6,2,3,4,5,8,7] => [2,1,5,1]
[1,2,8,9,3,5,6,7,4] => [4,4,1]
[1,3,4,5,6,9,2,8,7] => [6,2,1]
[3,4,5,8,1,2,6,9,7] => [4,4,1]
[9,8,7,4,5,6,3,2,1] => [1,1,1,3,1,1,1]
[1,5,6,7,8,9,2,3,4] => [6,3]
[1,7,2,8,9,3,4,5,6] => [2,3,4]
[1,6,2,7,8,9,3,4,5] => [2,4,3]
[1,5,2,6,7,8,9,3,4] => [2,5,2]
[3,4,2,1,5,6,7,8,9] => [2,1,6]
[4,3,1,2,5,6,7,8,9] => [1,1,7]
[3,4,2,5,1,6,7,8,9] => [2,2,5]
[5,6,1,2,3,4,7,8,9] => [2,7]
[6,3,7,1,2,4,5,8,9] => [1,2,6]
[5,4,3,1,2,6,7,8,9] => [1,1,1,6]
[8,3,9,1,2,4,5,6,7] => [1,2,6]
[7,4,3,8,1,2,5,6,9] => [1,1,2,5]
[6,5,4,3,1,2,7,8,9] => [1,1,1,1,5]
[9,5,6,1,2,3,4,7,8] => [1,2,6]
[9,4,3,1,2,5,6,7,8] => [1,1,1,6]
[8,6,9,3,7,1,2,4,5] => [1,2,2,4]
[8,5,4,3,9,1,2,6,7] => [1,1,1,2,4]
[7,6,5,4,3,1,2,8,9] => [1,1,1,1,1,4]
[9,7,4,3,8,1,2,5,6] => [1,1,1,2,4]
[9,6,5,4,3,1,2,7,8] => [1,1,1,1,1,4]
[1,3,4,5,6,9,2,7,8] => [6,3]
[1,3,4,5,9,2,6,7,8] => [5,4]
[1,3,4,9,2,5,6,7,8] => [4,5]
[6,2,3,4,5,1,9,7,8] => [1,4,2,2]
[5,2,3,4,1,9,6,7,8] => [1,3,2,3]
[4,2,3,1,9,5,6,7,8] => [1,2,2,4]
[3,2,1,9,4,5,6,7,8] => [1,1,2,5]
[2,3,4,5,9,7,1,8,6] => [5,1,2,1]
[2,3,4,9,6,7,1,8,5] => [4,2,2,1]
[2,3,9,5,6,1,7,8,4] => [3,2,3,1]
[2,3,9,5,1,7,4,8,6] => [3,1,2,2,1]
[2,1,3,4,5,6,8,7,9] => [1,6,2]
[2,3,4,5,6,8,7,9,1] => [6,2,1]
[9,2,3,4,5,6,1,7,8] => [1,5,3]
[3,1,5,6,7,8,9,2,4] => [1,6,2]
[2,1,3,5,6,7,8,9,4] => [1,7,1]
[3,4,5,6,7,9,1,2,8] => [6,3]
[3,4,5,7,8,9,1,2,6] => [6,3]
[3,4,6,7,8,9,1,2,5] => [6,3]
[3,5,6,7,8,9,1,2,4] => [6,3]
[3,4,5,6,1,9,2,7,8] => [4,2,3]
[3,4,5,1,8,9,2,6,7] => [3,3,3]
[3,4,1,7,8,9,2,5,6] => [2,4,3]
[3,1,6,7,8,9,2,4,5] => [1,5,3]
[3,4,5,6,9,1,2,7,8] => [5,4]
[3,4,5,8,1,9,2,6,7] => [4,2,3]
[3,4,5,6,1,2,7,8,9] => [4,5]
[3,4,7,1,8,9,2,5,6] => [3,3,3]
[3,4,5,1,2,9,6,7,8] => [3,3,3]
[3,6,1,7,8,9,2,4,5] => [2,4,3]
[3,4,1,2,8,9,5,6,7] => [2,4,3]
[5,1,6,7,8,9,2,3,4] => [1,5,3]
[3,1,2,7,8,9,4,5,6] => [1,5,3]
[1,2,6,7,8,9,3,4,5] => [6,3]
[1,2,4,3,5,7,8,9,6] => [3,5,1]
[2,3,5,6,7,4,8,1,9] => [5,2,2]
[1,3,4,6,7,8,5,9,2] => [6,2,1]
[3,1,2,4,5,6,7,9,8] => [1,7,1]
[3,5,1,7,2,8,4,6,9] => [2,2,2,3]
[3,5,1,7,2,9,4,8,6] => [2,2,2,2,1]
[3,5,1,7,2,6,4,9,8] => [2,2,2,2,1]
[3,5,1,4,2,7,6,9,8] => [2,2,2,2,1]
[4,5,6,1,2,3,8,7,9] => [3,4,2]
[3,6,1,7,8,2,4,5,9] => [2,3,4]
[3,5,1,8,2,9,7,4,6] => [2,2,2,1,2]
[3,5,1,7,2,6,4,8,9] => [2,2,2,3]
[3,5,1,4,2,9,7,8,6] => [2,2,2,2,1]
[3,2,1,7,5,6,4,9,8] => [1,1,2,2,2,1]
[1,5,3,4,2,7,6,9,8] => [2,2,2,2,1]
[9,2,3,4,5,6,8,7,1] => [1,6,1,1]
[9,2,3,4,5,8,7,6,1] => [1,5,1,1,1]
[9,2,3,4,8,6,7,5,1] => [1,4,2,1,1]
[9,2,3,8,5,6,7,4,1] => [1,3,3,1,1]
[9,2,8,4,5,6,7,3,1] => [1,2,4,1,1]
[7,2,3,4,9,8,1,6,5] => [1,4,1,2,1]
[6,2,3,9,8,1,7,5,4] => [1,3,1,2,1,1]
[5,2,9,8,1,6,7,4,3] => [1,2,1,3,1,1]
[4,9,8,1,5,6,7,3,2] => [2,1,4,1,1]
[9,2,3,4,8,7,6,5,1] => [1,4,1,1,1,1]
[9,2,3,7,8,6,4,5,1] => [1,4,1,2,1]
[9,2,6,8,5,3,7,4,1] => [1,3,1,2,1,1]
[9,5,8,4,2,6,7,3,1] => [1,2,1,3,1,1]
[9,8,7,6,5,1,3,4,2] => [1,1,1,1,1,3,1]
[9,8,7,6,1,4,5,3,2] => [1,1,1,1,3,1,1]
[9,8,7,1,5,6,4,3,2] => [1,1,1,3,1,1,1]
[9,8,1,6,7,5,4,3,2] => [1,1,3,1,1,1,1]
[9,1,7,8,6,5,4,3,2] => [1,3,1,1,1,1,1]
[1,3,4,5,6,7,2,9,8] => [6,2,1]
[3,2,4,1,6,5,8,7,9] => [1,2,2,2,2]
[4,2,5,1,6,3,8,7,9] => [1,2,2,2,2]
[4,2,6,1,7,3,8,5,9] => [1,2,2,2,2]
[4,2,6,1,8,3,9,5,7] => [1,2,2,2,2]
[4,2,6,1,7,3,5,9,8] => [1,2,2,3,1]
[4,2,5,1,3,7,6,9,8] => [1,2,3,2,1]
[3,2,5,4,6,1,8,7,9] => [1,2,2,2,2]
[4,2,5,1,7,6,8,3,9] => [1,2,2,2,2]
[4,2,6,1,7,3,9,8,5] => [1,2,2,2,1,1]
[4,2,6,1,7,3,5,8,9] => [1,2,2,4]
[4,2,5,1,3,8,9,6,7] => [1,2,4,2]
[3,2,1,6,7,4,5,9,8] => [1,1,3,3,1]
[1,4,5,2,3,7,6,9,8] => [3,3,2,1]
[7,6,5,4,3,1,2,9,8] => [1,1,1,1,1,3,1]
[7,6,5,4,2,1,3,9,8] => [1,1,1,1,1,3,1]
[7,6,5,4,1,3,2,9,8] => [1,1,1,1,2,2,1]
[9,8,7,6,5,3,2,4,1] => [1,1,1,1,1,1,2,1]
[9,8,7,6,5,2,4,3,1] => [1,1,1,1,1,2,1,1]
[2,3,4,8,6,7,9,5,1] => [4,3,1,1]
[2,3,8,5,6,7,9,1,4] => [3,4,2]
[2,8,4,5,6,7,9,3,1] => [2,5,1,1]
[8,3,4,5,6,7,9,2,1] => [1,6,1,1]
[2,3,4,5,7,9,1,8,6] => [6,2,1]
[2,3,4,6,7,1,9,5,8] => [5,2,2]
[2,3,5,6,1,7,9,4,8] => [4,3,2]
[2,4,5,1,6,7,9,8,3] => [3,4,1,1]
[3,4,1,5,6,7,9,2,8] => [2,5,2]
[3,2,4,5,6,7,9,1,8] => [1,6,2]
[2,3,4,7,6,9,8,5,1] => [4,2,1,1,1]
[2,3,4,6,9,1,7,8,5] => [5,3,1]
[2,5,4,6,8,7,9,1,3] => [2,3,2,2]
[2,3,5,7,1,6,9,4,8] => [4,3,2]
[4,3,5,8,6,7,9,2,1] => [1,3,3,1,1]
[2,4,6,1,5,7,9,3,8] => [3,4,2]
[2,4,8,5,6,7,9,1,3] => [3,4,2]
[3,5,1,4,6,7,9,8,2] => [2,5,1,1]
[4,2,3,5,6,7,9,1,8] => [1,6,2]
[1,4,2,6,3,7,5,9,8] => [2,2,2,2,1]
[1,3,2,6,4,7,5,9,8] => [2,2,2,2,1]
[2,1,6,3,7,4,8,5,9] => [1,2,2,2,2]
[7,9,6,8,4,5,2,3,1] => [2,2,2,2,1]
[7,9,5,8,4,6,2,3,1] => [2,2,2,2,1]
[7,9,5,8,3,6,2,4,1] => [2,2,2,2,1]
[7,9,5,8,3,6,4,1,2] => [2,2,2,1,2]
[7,9,5,8,6,3,4,1,2] => [2,2,1,2,2]
[7,9,8,5,6,3,4,1,2] => [2,1,2,2,2]
[6,9,5,8,4,7,2,3,1] => [2,2,2,2,1]
[7,9,4,8,3,6,2,5,1] => [2,2,2,2,1]
[7,9,5,8,2,6,1,4,3] => [2,2,2,2,1]
[7,9,5,8,3,6,4,2,1] => [2,2,2,1,1,1]
[7,9,5,8,6,3,1,4,2] => [2,2,1,1,2,1]
[7,9,8,5,3,6,4,1,2] => [2,1,1,2,1,2]
[9,7,5,8,6,3,4,1,2] => [1,1,2,1,2,2]
[6,5,4,3,2,7,1,8,9] => [1,1,1,1,2,3]
[5,4,3,2,6,1,7,8,9] => [1,1,1,2,4]
[4,3,2,5,1,6,7,8,9] => [1,1,2,5]
[3,2,4,1,5,6,7,8,9] => [1,2,6]
[1,3,5,2,7,4,6,9,8] => [3,2,3,1]
[1,3,5,2,7,4,9,6,8] => [3,2,2,2]
[1,3,5,2,7,4,8,6,9] => [3,2,2,2]
[1,3,5,2,6,4,8,7,9] => [3,2,2,2]
[1,2,4,3,6,5,8,7,9] => [3,2,2,2]
[1,3,5,7,2,4,6,9,8] => [4,4,1]
[1,3,5,2,7,9,4,6,8] => [3,3,3]
[1,3,5,2,7,4,8,9,6] => [3,2,3,1]
[1,3,5,2,6,4,9,7,8] => [3,2,2,2]
[1,3,4,2,7,5,8,6,9] => [3,2,2,2]
[1,2,5,3,6,4,8,7,9] => [3,2,2,2]
[1,3,5,7,2,9,4,6,8] => [4,2,3]
[1,3,5,2,7,8,4,9,6] => [3,3,2,1]
[1,3,5,7,9,2,4,6,8] => [5,4]
[1,3,5,2,6,4,7,9,8] => [3,2,3,1]
[1,3,5,2,7,8,9,4,6] => [3,4,2]
[1,3,4,2,7,5,9,6,8] => [3,2,2,2]
[1,3,5,2,6,4,7,8,9] => [3,2,4]
[1,2,5,3,7,4,8,6,9] => [3,2,2,2]
[1,3,4,2,8,5,9,6,7] => [3,2,2,2]
[1,2,6,3,7,4,8,5,9] => [3,2,2,2]
[5,6,2,1,3,7,4,8,9] => [2,1,3,3]
[3,2,5,1,6,4,7,8,9] => [1,2,2,4]
[6,7,2,1,8,3,4,9,5] => [2,1,2,3,1]
[3,6,4,1,7,2,8,5,9] => [2,1,2,2,2]
[3,6,7,2,1,4,8,5,9] => [3,1,3,2]
[4,2,6,1,7,5,3,8,9] => [1,2,2,1,3]
[4,3,2,6,1,7,5,8,9] => [1,1,2,2,3]
[4,7,2,5,1,8,3,9,6] => [2,2,2,2,1]
[4,3,7,8,2,1,5,9,6] => [1,3,1,3,1]
[3,5,2,7,1,8,6,4,9] => [2,2,2,1,2]
[5,4,3,2,7,1,8,6,9] => [1,1,1,2,2,2]
[6,4,2,8,1,9,7,5,3] => [1,1,2,2,1,1,1]
[4,3,6,2,8,1,9,7,5] => [1,2,2,2,1,1]
[6,5,4,3,2,8,1,9,7] => [1,1,1,1,2,2,1]
[2,8,7,9,6,5,4,3,1] => [2,2,1,1,1,1,1]
[3,1,2,9,4,5,6,7,8] => [1,3,5]
[4,1,2,3,9,5,6,7,8] => [1,4,4]
[5,1,2,3,4,9,6,7,8] => [1,5,3]
[6,1,2,3,4,5,9,7,8] => [1,6,2]
[3,4,1,2,9,5,6,7,8] => [2,3,4]
[4,5,1,2,3,9,6,7,8] => [2,4,3]
[5,6,1,2,3,4,9,7,8] => [2,5,2]
[6,7,1,2,3,4,5,9,8] => [2,6,1]
[9,7,5,3,1,8,6,4,2] => [1,1,1,1,2,1,1,1]
[9,6,3,8,5,2,7,4,1] => [1,1,2,1,2,1,1]
[8,5,2,9,6,3,7,4,1] => [1,1,2,1,2,1,1]
[9,5,1,6,2,7,3,8,4] => [1,1,2,2,2,1]
[9,5,1,8,4,7,3,6,2] => [1,1,2,2,2,1]
[8,4,7,3,6,2,9,5,1] => [1,2,2,2,1,1]
[7,3,8,4,6,2,9,5,1] => [1,2,2,2,1,1]
[9,4,7,2,5,8,3,6,1] => [1,2,3,2,1]
[9,4,6,1,8,3,5,7,2] => [1,2,2,3,1]
[8,3,5,7,2,9,4,6,1] => [1,3,2,2,1]
[7,2,8,3,9,4,5,6,1] => [1,2,2,3,1]
[8,3,7,2,9,4,5,6,1] => [1,2,2,3,1]
[5,8,3,7,2,9,4,6,1] => [2,2,2,2,1]
[4,5,6,9,3,8,2,7,1] => [4,2,2,1]
[4,5,6,8,2,9,3,7,1] => [4,2,2,1]
[9,3,6,5,4,7,1,8,2] => [1,2,1,2,2,1]
[8,2,9,3,6,5,4,7,1] => [1,2,2,1,2,1]
[6,5,4,8,2,9,3,7,1] => [1,1,2,2,2,1]
[5,6,4,8,2,9,3,7,1] => [2,2,2,2,1]
[9,2,7,4,5,6,3,8,1] => [1,2,3,2,1]
[7,4,5,6,3,9,2,8,1] => [1,3,2,2,1]
[5,7,4,6,3,9,2,8,1] => [2,2,2,2,1]
[4,2,5,6,7,8,9,1,3] => [1,6,2]
[1,5,6,7,8,9,3,4,2] => [6,2,1]
[1,3,6,7,8,9,2,5,4] => [6,2,1]
[3,1,6,7,8,9,4,5,2] => [1,5,2,1]
[8,4,5,6,7,2,1,9,3] => [1,4,1,2,1]
[4,2,1,7,8,9,3,6,5] => [1,1,4,2,1]
[9,2,5,6,7,8,3,1,4] => [1,5,1,2]
[3,4,1,7,8,9,5,6,2] => [2,4,2,1]
[1,9,6,7,8,3,4,5,2] => [2,3,3,1]
[7,4,5,6,2,8,1,9,3] => [1,3,2,2,1]
[4,2,5,1,8,9,3,7,6] => [1,2,3,2,1]
[1,3,2,8,9,4,6,7,5] => [2,3,3,1]
[8,2,5,6,7,3,9,1,4] => [1,4,2,2]
[5,6,7,9,1,2,3,4,8] => [4,5]
[4,5,6,7,9,1,2,3,8] => [5,4]
[7,6,9,1,2,3,4,5,8] => [1,2,6]
[6,5,7,9,1,2,3,4,8] => [1,3,5]
[5,4,6,7,9,1,2,3,8] => [1,4,4]
[4,3,5,6,7,9,1,2,8] => [1,5,3]
[1,6,5,7,4,8,3,9,2] => [2,2,2,2,1]
[5,4,6,3,8,2,7,1,9] => [1,2,2,2,2]
[1,6,5,7,4,9,3,8,2] => [2,2,2,2,1]
[5,4,8,3,6,2,7,1,9] => [1,2,2,2,2]
[5,4,7,3,8,2,6,1,9] => [1,2,2,2,2]
[1,6,5,9,4,7,3,8,2] => [2,2,2,2,1]
[1,6,5,8,4,9,3,7,2] => [2,2,2,2,1]
[1,2,3,5,7,9,4,6,8] => [6,3]
[1,2,4,6,8,3,5,7,9] => [5,4]
[3,4,5,6,7,8,2,1,9] => [6,1,2]
[3,4,5,6,7,2,1,8,9] => [5,1,3]
[4,5,6,7,8,1,2,3,9] => [5,4]
[4,5,6,8,7,1,2,3,9] => [4,1,4]
[4,5,7,6,8,1,2,3,9] => [3,2,4]
[1,5,6,7,9,8,2,3,4] => [5,1,3]
[1,5,6,8,7,9,2,3,4] => [4,2,3]
[2,8,3,4,5,6,7,9,1] => [2,6,1]
[2,3,7,4,5,6,8,9,1] => [3,5,1]
[2,3,4,1,5,7,8,9,6] => [3,5,1]
[4,3,1,2,6,5,8,7,9] => [1,1,3,2,2]
[6,5,3,1,2,4,8,7,9] => [1,1,1,4,2]
[8,7,5,3,1,2,4,6,9] => [1,1,1,1,5]
[7,5,3,1,2,4,6,9,8] => [1,1,1,5,1]
[5,3,1,2,4,7,6,9,8] => [1,1,4,2,1]
[4,1,2,6,5,3,8,7,9] => [1,3,1,2,2]
[6,3,1,2,4,8,7,5,9] => [1,1,4,1,2]
[8,5,3,1,2,4,6,9,7] => [1,1,1,5,1]
[7,5,3,1,2,4,6,8,9] => [1,1,1,6]
[5,3,1,2,4,9,7,6,8] => [1,1,4,1,2]
[3,1,2,7,5,4,6,9,8] => [1,3,1,3,1]
[1,5,3,2,4,7,6,9,8] => [2,1,3,2,1]
[9,3,8,7,6,5,1,4,2] => [1,2,1,1,1,2,1]
[2,9,8,7,6,5,1,4,3] => [2,1,1,1,1,2,1]
[7,3,9,8,6,1,5,4,2] => [1,2,1,1,2,1,1]
[9,7,4,8,6,1,5,3,2] => [1,1,2,1,2,1,1]
[6,3,9,8,1,7,5,4,2] => [1,2,1,2,1,1,1]
[1,2,9,3,8,4,7,5,6] => [3,2,2,2]
[1,7,2,8,3,6,4,5,9] => [2,2,2,3]
[1,2,8,3,9,4,7,5,6] => [3,2,2,2]
[1,7,2,6,3,8,4,5,9] => [2,2,2,3]
[1,6,3,7,2,8,4,5,9] => [2,2,2,3]
[1,2,8,3,7,4,9,5,6] => [3,2,2,2]
[1,2,7,4,8,3,9,5,6] => [3,2,2,2]
[1,7,6,5,4,3,2,9,8] => [2,1,1,1,1,2,1]
[6,7,3,1,8,2,4,9,5] => [2,1,2,3,1]
[2,6,7,3,1,4,8,5,9] => [3,1,3,2]
[2,7,4,5,1,8,3,9,6] => [2,2,2,2,1]
[3,2,7,8,4,1,5,9,6] => [1,3,1,3,1]
[1,7,8,9,6,5,4,3,2] => [4,1,1,1,1,1]
[1,6,7,8,9,5,4,3,2] => [5,1,1,1,1]
[1,5,6,7,8,9,4,3,2] => [6,1,1,1]
[1,4,5,6,7,8,9,3,2] => [7,1,1]
[1,7,6,8,9,5,4,3,2] => [2,3,1,1,1,1]
[1,6,5,7,8,9,4,3,2] => [2,4,1,1,1]
[1,5,4,6,7,8,9,3,2] => [2,5,1,1]
[9,8,6,4,7,2,5,1,3] => [1,1,1,2,2,2]
[9,7,8,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1]
[3,2,5,6,7,8,9,1,4] => [1,6,2]
[4,2,5,6,7,8,9,3,1] => [1,6,1,1]
[1,3,4,5,6,7,2,8,9] => [6,3]
[2,3,4,7,8,9,1,5,6] => [6,3]
[2,3,6,7,8,9,1,4,5] => [6,3]
[2,5,6,7,8,9,1,3,4] => [6,3]
[2,3,4,5,1,9,6,7,8] => [4,2,3]
[2,3,4,1,8,9,5,6,7] => [3,3,3]
[2,3,1,7,8,9,4,5,6] => [2,4,3]
[2,1,6,7,8,9,3,4,5] => [1,5,3]
[4,1,2,3,6,5,8,7,9] => [1,4,2,2]
[4,1,6,2,3,5,8,7,9] => [1,2,4,2]
[1,7,2,3,4,5,8,6,9] => [2,5,2]
[6,1,2,3,4,5,8,7,9] => [1,6,2]
[2,3,1,9,8,7,6,5,4] => [2,2,1,1,1,1,1]
[3,4,2,1,9,8,7,6,5] => [2,1,2,1,1,1,1]
[4,5,3,2,1,9,8,7,6] => [2,1,1,2,1,1,1]
[5,6,4,3,2,1,9,8,7] => [2,1,1,1,2,1,1]
[6,7,5,4,3,2,1,9,8] => [2,1,1,1,1,2,1]
[3,4,5,6,7,9,2,1,8] => [6,1,2]
[3,4,5,6,9,2,1,7,8] => [5,1,3]
[3,4,5,6,1,7,2,9,8] => [4,2,2,1]
[1,4,5,9,6,7,2,8,3] => [4,2,2,1]
[2,4,5,9,6,1,7,3,8] => [4,1,2,2]
[3,4,5,7,6,1,9,2,8] => [4,1,2,2]
[3,5,6,9,7,1,8,2,4] => [4,1,2,2]
[1,4,8,5,6,2,7,9,3] => [3,2,3,1]
[2,5,9,6,7,3,1,4,8] => [3,2,1,3]
[4,1,5,2,7,6,3,9,8] => [1,2,2,1,2,1]
[3,4,1,6,9,5,7,2,8] => [2,3,2,2]
[6,7,9,8,1,3,4,2,5] => [3,1,3,2]
[9,1,5,2,8,6,3,7,4] => [1,2,2,1,2,1]
[1,7,4,5,2,6,8,9,3] => [2,2,4,1]
[9,2,3,4,5,6,1,8,7] => [1,5,2,1]
[9,2,3,4,5,1,7,8,6] => [1,4,3,1]
[9,2,3,4,1,6,7,8,5] => [1,3,4,1]
[9,2,3,1,5,6,7,8,4] => [1,2,5,1]
[9,2,1,4,5,6,7,8,3] => [1,1,6,1]
[5,2,3,4,1,9,6,8,7] => [1,3,2,2,1]
[4,2,3,1,9,5,7,8,6] => [1,2,2,3,1]
[3,2,1,9,4,6,7,8,5] => [1,1,2,4,1]
[2,1,9,3,5,6,7,8,4] => [1,2,5,1]
[3,8,1,2,4,5,6,7,9] => [2,7]
[1,2,8,3,4,5,9,6,7] => [3,4,2]
[7,8,1,2,3,4,9,5,6] => [2,5,2]
[3,8,9,1,2,4,5,6,7] => [3,6]
[3,7,1,2,4,5,6,8,9] => [2,7]
[6,8,9,1,2,3,4,5,7] => [3,6]
[5,8,9,1,2,3,4,6,7] => [3,6]
[2,3,4,5,1,7,6,9,8] => [4,2,2,1]
[2,3,4,1,6,5,8,7,9] => [3,2,2,2]
[2,3,4,5,1,8,6,9,7] => [4,2,2,1]
[2,3,4,1,7,5,8,6,9] => [3,2,2,2]
[3,4,5,6,7,9,1,8,2] => [6,2,1]
[3,4,5,6,7,9,2,8,1] => [6,2,1]
[3,4,5,6,7,1,9,8,2] => [5,2,1,1]
[5,3,4,2,1,9,8,7,6] => [1,2,1,2,1,1,1]
[6,5,3,4,2,1,9,8,7] => [1,1,2,1,2,1,1]
[7,6,4,5,3,2,1,9,8] => [1,1,2,1,1,2,1]
[8,7,2,3,4,5,6,1,9] => [1,1,5,2]
[1,9,8,3,4,5,6,7,2] => [2,1,5,1]
[8,1,7,3,4,5,6,2,9] => [1,2,4,2]
[8,6,2,3,4,5,1,7,9] => [1,1,4,3]
[1,9,2,8,4,5,6,7,3] => [2,2,4,1]
[1,9,7,3,4,5,6,2,8] => [2,1,4,2]
[3,4,5,1,2,6,7,8,9] => [3,6]
[2,4,1,5,3,6,8,7,9] => [2,2,3,2]
[2,4,1,7,3,8,5,6,9] => [2,2,2,3]
[8,5,9,3,6,1,2,4,7] => [1,2,2,4]
[9,7,1,5,8,3,6,2,4] => [1,1,3,2,2]
[9,7,5,4,1,3,8,2,6] => [1,1,1,1,3,2]
[9,6,5,4,3,2,1,7,8] => [1,1,1,1,1,1,3]
[9,1,2,3,4,5,8,7,6] => [1,6,1,1]
[9,1,2,3,4,8,6,7,5] => [1,5,2,1]
[9,1,2,8,4,5,6,7,3] => [1,3,4,1]
[9,1,8,3,4,5,6,7,2] => [1,2,5,1]
[9,1,2,3,4,7,8,6,5] => [1,6,1,1]
[9,1,2,3,6,8,5,7,4] => [1,5,2,1]
[9,1,2,5,8,4,6,7,3] => [1,4,3,1]
[9,1,4,8,3,5,6,7,2] => [1,3,4,1]
[9,3,8,2,4,5,6,7,1] => [1,2,5,1]
[1,2,3,4,5,9,8,6,7] => [6,1,2]
[1,2,3,4,9,8,7,5,6] => [5,1,1,2]
[1,2,3,9,8,7,6,4,5] => [4,1,1,1,2]
[1,2,9,8,7,6,5,3,4] => [3,1,1,1,1,2]
[3,4,5,9,2,1,6,7,8] => [4,1,4]
[3,4,9,2,1,5,6,7,8] => [3,1,5]
[3,9,2,1,4,5,6,7,8] => [2,1,6]
[3,4,5,6,8,9,1,7,2] => [6,2,1]
[3,4,5,7,8,9,1,6,2] => [6,2,1]
[3,4,6,7,8,9,1,5,2] => [6,2,1]
[3,5,6,7,8,9,1,4,2] => [6,2,1]
[4,5,6,7,8,9,1,3,2] => [6,2,1]
[3,4,5,6,2,9,1,8,7] => [4,2,2,1]
[3,4,5,2,8,9,1,7,6] => [3,3,2,1]
[3,4,2,7,8,9,1,6,5] => [2,4,2,1]
[3,2,6,7,8,9,1,5,4] => [1,5,2,1]
[2,5,6,7,8,9,1,4,3] => [6,2,1]
[2,3,4,7,5,8,6,9,1] => [4,2,2,1]
[3,4,5,8,6,9,2,7,1] => [4,2,2,1]
[3,4,7,5,8,1,6,9,2] => [3,2,3,1]
[2,3,4,8,5,1,9,6,7] => [4,1,2,2]
[4,5,8,1,6,9,7,2,3] => [3,3,1,2]
[3,4,5,9,7,2,6,1,8] => [4,1,2,2]
[4,7,5,8,1,2,6,9,3] => [2,2,4,1]
[6,3,7,4,8,5,2,9,1] => [1,2,2,1,2,1]
[2,3,6,4,1,8,9,5,7] => [3,1,3,2]
[5,8,1,6,9,3,7,2,4] => [2,3,2,2]
[7,4,8,5,9,6,2,3,1] => [1,2,2,1,2,1]
[3,4,7,5,9,2,1,6,8] => [3,2,1,3]
[2,3,4,5,1,6,8,7,9] => [4,3,2]
[1,2,8,9,7,6,5,4,3] => [4,1,1,1,1,1]
[1,7,6,5,4,3,2,8,9] => [2,1,1,1,1,3]
[1,2,8,7,6,5,4,3,9] => [3,1,1,1,1,2]
[4,6,7,8,9,1,2,3,5] => [5,4]
[5,7,8,9,1,2,3,4,6] => [4,5]
[3,5,6,4,7,2,8,1,9] => [3,2,2,2]
[5,3,2,6,7,4,8,1,9] => [1,1,3,2,2]
[5,3,6,2,1,7,8,4,9] => [1,2,1,3,2]
[6,4,7,3,8,2,9,1,5] => [1,2,2,2,2]
[6,4,7,3,8,2,5,9,1] => [1,2,2,3,1]
[6,4,7,3,5,8,2,9,1] => [1,2,3,2,1]
[6,4,5,7,3,8,2,9,1] => [1,3,2,2,1]
[2,4,3,6,7,5,8,1,9] => [2,3,2,2]
[4,2,1,5,3,7,8,6,9] => [1,1,2,3,2]
[5,3,6,2,1,7,9,4,8] => [1,2,1,3,2]
[5,3,6,2,7,1,4,8,9] => [1,2,2,4]
[6,4,7,3,5,8,9,1,2] => [1,2,4,2]
[6,4,5,7,8,2,3,9,1] => [1,4,3,1]
[5,6,7,3,4,8,2,9,1] => [3,3,2,1]
[7,5,1,3,2,6,4,8,9] => [1,1,2,2,3]
[9,6,1,3,4,2,7,8,5] => [1,1,3,3,1]
[8,3,6,1,4,2,7,5,9] => [1,2,2,2,2]
[9,8,1,7,2,3,4,5,6] => [1,1,2,5]
[9,3,4,7,1,5,2,8,6] => [1,3,2,2,1]
[8,7,5,4,6,3,2,9,1] => [1,1,1,2,1,2,1]
[8,7,4,6,5,3,2,9,1] => [1,1,2,1,1,2,1]
[2,3,4,7,8,9,6,5,1] => [6,1,1,1]
[2,3,6,7,8,9,5,4,1] => [6,1,1,1]
[2,5,6,7,8,9,4,3,1] => [6,1,1,1]
[2,3,4,5,6,1,9,8,7] => [5,2,1,1]
[2,3,4,5,1,9,8,7,6] => [4,2,1,1,1]
[2,3,4,1,8,9,7,6,5] => [3,3,1,1,1]
[2,3,1,7,8,9,6,5,4] => [2,4,1,1,1]
[2,1,6,7,8,9,5,4,3] => [1,5,1,1,1]
[9,3,1,4,5,6,7,8,2] => [1,1,6,1]
[8,9,7,6,5,4,3,1,2] => [2,1,1,1,1,1,2]
[8,6,7,5,4,3,2,1,9] => [1,2,1,1,1,1,2]
[8,7,9,6,5,4,3,1,2] => [1,2,1,1,1,1,2]
[9,7,8,6,5,4,3,1,2] => [1,2,1,1,1,1,2]
[3,2,1,5,6,7,8,9,4] => [1,1,6,1]
[3,2,6,1,4,7,8,9,5] => [1,2,5,1]
[4,3,2,1,6,7,8,9,5] => [1,1,1,5,1]
[3,2,7,8,1,4,5,9,6] => [1,3,4,1]
[4,7,2,5,1,3,8,9,6] => [2,2,4,1]
[4,3,2,7,1,5,8,9,6] => [1,1,2,4,1]
[5,4,3,2,1,7,8,9,6] => [1,1,1,1,4,1]
[4,3,2,8,9,1,5,6,7] => [1,1,3,4]
[8,5,6,3,4,1,2,9,7] => [1,2,2,3,1]
[5,3,8,2,6,1,4,9,7] => [1,2,2,3,1]
[5,4,3,2,8,1,6,9,7] => [1,1,1,2,3,1]
[6,5,4,3,2,1,8,9,7] => [1,1,1,1,1,3,1]
[6,9,4,7,2,5,1,3,8] => [2,2,2,3]
[6,4,3,9,2,7,1,5,8] => [1,1,2,2,3]
[6,5,4,3,2,9,1,7,8] => [1,1,1,1,2,3]
[7,6,9,5,4,3,2,1,8] => [1,2,1,1,1,1,2]
[2,3,4,9,6,7,8,5,1] => [4,3,1,1]
[2,3,9,5,6,7,8,4,1] => [3,4,1,1]
[2,9,4,5,6,7,8,3,1] => [2,5,1,1]
[9,3,4,5,6,7,8,2,1] => [1,6,1,1]
[2,3,4,1,9,7,8,6,5] => [3,2,2,1,1]
[2,3,1,9,6,7,8,5,4] => [2,2,3,1,1]
[2,1,9,5,6,7,8,4,3] => [1,2,4,1,1]
[1,9,4,5,6,7,8,3,2] => [2,5,1,1]
[5,6,4,7,3,9,1,8,2] => [2,2,2,2,1]
[5,6,4,9,1,8,2,7,3] => [2,2,2,2,1]
[5,9,1,8,2,7,3,6,4] => [2,2,2,2,1]
[9,1,8,2,7,3,6,4,5] => [1,2,2,2,2]
[5,4,9,1,8,2,7,3,6] => [1,2,2,2,2]
[5,4,6,3,9,1,8,2,7] => [1,2,2,2,2]
[5,4,6,3,7,2,9,1,8] => [1,2,2,2,2]
[5,6,4,8,2,9,1,7,3] => [2,2,2,2,1]
[5,7,3,9,1,8,2,6,4] => [2,2,2,2,1]
[6,4,9,1,8,2,7,3,5] => [1,2,2,2,2]
[4,5,9,1,8,2,7,3,6] => [3,2,2,2]
[6,4,5,3,9,1,8,2,7] => [1,2,2,2,2]
[5,4,7,3,6,2,9,1,8] => [1,2,2,2,2]
[4,3,2,1,8,9,7,6,5] => [1,1,1,3,1,1,1]
[2,1,8,9,7,6,5,4,3] => [1,3,1,1,1,1,1]
[9,8,3,4,5,6,7,1,2] => [1,1,5,2]
[9,8,2,3,4,5,6,1,7] => [1,1,5,2]
[9,4,5,6,7,8,2,1,3] => [1,5,1,2]
[9,3,4,5,6,7,2,1,8] => [1,5,1,2]
[7,2,9,8,3,4,5,6,1] => [1,2,1,4,1]
[9,8,2,3,4,5,1,6,7] => [1,1,4,3]
[9,5,6,7,8,2,1,3,4] => [1,4,1,3]
[8,3,9,4,5,6,7,2,1] => [1,2,4,1,1]
[9,3,4,5,6,2,1,7,8] => [1,4,1,3]
[1,7,4,2,8,5,3,9,6] => [2,1,2,1,2,1]
[1,9,6,3,8,5,2,7,4] => [2,1,2,1,2,1]
[1,9,6,3,7,4,2,8,5] => [2,1,2,1,2,1]
[1,6,2,7,3,8,4,9,5] => [2,2,2,2,1]
[1,9,5,2,6,3,7,4,8] => [2,1,2,2,2]
[1,8,4,7,3,6,2,9,5] => [2,2,2,2,1]
[1,9,5,2,8,4,7,3,6] => [2,1,2,2,2]
[1,9,5,2,8,4,6,3,7] => [2,1,2,2,2]
[1,9,4,7,2,5,8,3,6] => [2,2,3,2]
[1,8,3,5,7,2,9,4,6] => [2,3,2,2]
[1,9,4,6,2,8,3,5,7] => [2,2,2,3]
[1,9,4,5,6,2,7,3,8] => [2,3,2,2]
[1,9,4,5,6,2,8,3,7] => [2,3,2,2]
[1,9,4,6,2,8,3,7,5] => [2,2,2,2,1]
[1,9,3,8,2,7,4,5,6] => [2,2,2,3]
[1,9,3,7,2,8,4,5,6] => [2,2,2,3]
[1,8,2,9,3,6,5,4,7] => [2,2,2,1,2]
[1,9,3,6,5,4,7,2,8] => [2,2,1,2,2]
[1,9,3,7,2,8,4,6,5] => [2,2,2,2,1]
[1,9,2,7,4,5,6,3,8] => [2,2,3,2]
[1,9,2,8,3,7,4,5,6] => [2,2,2,3]
[6,7,1,9,2,3,4,5,8] => [2,2,5]
[6,1,8,9,2,3,4,5,7] => [1,3,5]
[3,4,5,6,2,1,7,8,9] => [4,1,4]
[3,4,5,2,1,6,7,8,9] => [3,1,5]
[3,4,5,8,9,1,2,6,7] => [5,4]
[3,4,7,8,9,1,2,5,6] => [5,4]
[3,6,7,8,9,1,2,4,5] => [5,4]
[3,4,5,6,1,7,2,8,9] => [4,2,3]
[3,4,5,1,6,2,7,8,9] => [3,2,4]
[3,4,1,5,9,2,6,7,8] => [2,3,4]
[1,3,7,8,9,2,4,5,6] => [5,4]
[2,6,7,8,9,1,3,4,5] => [5,4]
[8,5,1,2,3,4,9,6,7] => [1,1,5,2]
[8,2,1,9,3,4,5,6,7] => [1,1,2,5]
[8,6,1,2,3,4,9,5,7] => [1,1,5,2]
[9,5,1,2,3,8,4,6,7] => [1,1,4,3]
[8,6,5,1,2,3,4,9,7] => [1,1,1,5,1]
[8,5,4,1,2,3,9,6,7] => [1,1,1,4,2]
[8,3,1,9,2,4,5,6,7] => [1,1,2,5]
[9,4,3,1,2,8,5,6,7] => [1,1,1,3,3]
[8,3,2,1,9,4,5,6,7] => [1,1,1,2,4]
[6,1,5,2,4,3,7,8,9] => [1,2,2,4]
[2,5,1,4,3,6,7,8,9] => [2,2,5]
[8,1,7,2,6,3,5,4,9] => [1,2,2,2,2]
[2,7,1,6,3,5,4,8,9] => [2,2,2,3]
[3,4,6,1,5,2,7,8,9] => [3,2,4]
[3,2,6,1,5,4,7,8,9] => [1,2,2,4]
[2,9,1,8,3,7,4,6,5] => [2,2,2,2,1]
[3,4,8,1,7,2,6,5,9] => [3,2,2,2]
[3,2,8,1,7,4,6,5,9] => [1,2,2,2,2]
[5,7,2,4,1,6,3,8,9] => [2,2,2,3]
[3,4,2,7,1,6,5,8,9] => [2,2,2,3]
[4,3,5,2,6,1,7,8,9] => [1,2,2,4]
[4,5,6,9,1,8,2,7,3] => [4,2,2,1]
[5,9,2,4,1,8,3,7,6] => [2,2,2,2,1]
[3,4,2,9,1,8,5,7,6] => [2,2,2,2,1]
[6,3,5,4,8,1,7,2,9] => [1,2,2,2,2]
[3,6,8,2,5,1,7,4,9] => [3,2,2,2]
[4,3,5,2,8,1,7,6,9] => [1,2,2,2,2]
[4,5,3,6,2,7,1,8,9] => [2,2,2,3]
[4,7,2,9,5,6,1,8,3] => [2,2,2,2,1]
[4,3,7,9,2,6,1,8,5] => [1,3,2,2,1]
[4,5,3,6,2,9,1,8,7] => [2,2,2,2,1]
[1,9,7,8,6,5,4,3,2] => [2,2,1,1,1,1,1]
[1,9,7,5,4,3,2,6,8] => [2,1,1,1,1,3]
[1,8,6,4,3,2,5,9,7] => [2,1,1,1,3,1]
[1,9,7,5,3,2,4,8,6] => [2,1,1,1,3,1]
[1,9,7,5,3,8,6,4,2] => [2,1,1,2,1,1,1]
[1,6,9,7,8,5,4,3,2] => [3,2,1,1,1,1]
[1,5,9,7,4,3,2,6,8] => [3,1,1,1,3]
[1,4,8,6,3,2,5,9,7] => [3,1,1,3,1]
[1,3,9,7,5,2,4,8,6] => [3,1,1,3,1]
[1,2,9,7,5,3,8,6,4] => [3,1,1,2,1,1]
[1,9,6,7,8,5,4,3,2] => [2,3,1,1,1,1]
[1,9,7,4,3,2,5,6,8] => [2,1,1,1,4]
[1,8,6,3,2,4,5,9,7] => [2,1,1,4,1]
[1,5,6,9,7,8,4,3,2] => [4,2,1,1,1]
[1,9,7,5,2,3,4,8,6] => [2,1,1,4,1]
[1,4,5,9,7,3,2,6,8] => [4,1,1,3]
[1,9,7,5,2,3,8,6,4] => [2,1,1,3,1,1]
[1,3,4,8,6,2,5,9,7] => [4,1,3,1]
[1,2,3,9,7,5,4,8,6] => [4,1,1,2,1]
[1,3,5,7,2,8,4,9,6] => [4,2,2,1]
[1,3,5,6,2,7,4,9,8] => [4,2,2,1]
[1,3,4,5,2,7,6,9,8] => [4,2,2,1]
[3,5,7,1,2,4,6,9,8] => [3,5,1]
[3,5,7,8,1,9,2,4,6] => [4,2,3]
[3,5,6,7,1,8,2,9,4] => [4,2,2,1]
[7,1,2,3,4,9,6,8,5] => [1,5,2,1]
[7,1,2,3,4,8,6,9,5] => [1,5,2,1]
[8,1,2,3,9,5,6,7,4] => [1,4,3,1]
[7,1,2,3,9,5,6,8,4] => [1,4,3,1]
[7,1,2,3,8,5,6,9,4] => [1,4,3,1]
[6,1,2,3,8,5,9,7,4] => [1,4,2,1,1]
[6,1,2,3,7,5,8,9,4] => [1,4,3,1]
[6,1,2,8,4,5,9,7,3] => [1,3,3,1,1]
[6,1,2,7,4,5,8,9,3] => [1,3,4,1]
[5,1,2,7,4,9,6,8,3] => [1,3,2,2,1]
[5,1,2,7,4,8,6,9,3] => [1,3,2,2,1]
[5,1,2,6,4,7,8,9,3] => [1,3,4,1]
[4,1,6,3,8,5,9,7,2] => [1,2,2,2,1,1]
[4,1,6,3,7,5,8,9,2] => [1,2,2,3,1]
[4,1,5,3,6,7,8,9,2] => [1,2,5,1]
[1,9,8,7,6,4,3,2,5] => [2,1,1,1,1,1,2]
[1,9,8,7,5,4,3,2,6] => [2,1,1,1,1,1,2]
[1,9,8,6,5,4,3,2,7] => [2,1,1,1,1,1,2]
[1,9,7,6,5,4,3,2,8] => [2,1,1,1,1,1,2]
[1,9,8,7,6,5,2,3,4] => [2,1,1,1,1,3]
[1,9,8,7,6,3,4,2,5] => [2,1,1,1,2,2]
[1,9,8,7,4,5,3,2,6] => [2,1,1,2,1,2]
[1,9,8,5,6,4,3,2,7] => [2,1,2,1,1,2]
[1,9,6,7,5,4,3,2,8] => [2,2,1,1,1,2]
[1,7,8,6,5,4,3,2,9] => [3,1,1,1,1,2]
[1,2,3,4,9,7,5,8,6] => [5,1,2,1]
[1,2,3,9,6,4,7,8,5] => [4,1,3,1]
[1,2,9,5,3,6,7,8,4] => [3,1,4,1]
[1,9,4,2,5,6,7,8,3] => [2,1,5,1]
[8,9,2,3,4,5,6,1,7] => [2,5,2]
[7,8,9,2,3,4,5,1,6] => [3,4,2]
[6,7,8,9,2,3,4,1,5] => [4,3,2]
[5,6,7,8,9,2,3,1,4] => [5,2,2]
[7,8,9,2,3,4,1,5,6] => [3,3,3]
[6,7,8,9,2,3,1,4,5] => [4,2,3]
[4,5,6,7,8,1,9,2,3] => [5,2,2]
[7,9,3,4,5,6,2,1,8] => [2,4,1,2]
[3,9,2,1,5,6,7,8,4] => [2,1,5,1]
[3,8,1,4,5,6,7,2,9] => [2,5,2]
[6,9,3,4,5,2,7,1,8] => [2,3,2,2]
[3,9,2,4,1,6,7,8,5] => [2,2,4,1]
[3,8,9,1,5,6,7,4,2] => [3,4,1,1]
[3,7,1,4,5,6,2,8,9] => [2,4,3]
[4,5,6,7,8,2,9,1,3] => [5,2,2]
[4,5,6,7,8,2,1,3,9] => [5,1,3]
[3,4,5,6,1,7,8,2,9] => [4,3,2]
[5,6,7,8,9,3,1,2,4] => [5,1,3]
[4,5,6,7,2,8,9,1,3] => [4,3,2]
[2,8,7,6,5,4,3,1,9] => [2,1,1,1,1,1,2]
[2,1,4,9,8,7,6,5,3] => [1,3,1,1,1,1,1]
[3,7,6,5,4,2,1,9,8] => [2,1,1,1,1,2,1]
[3,2,1,6,9,8,7,5,4] => [1,1,3,1,1,1,1]
[4,6,5,3,2,1,9,8,7] => [2,1,1,1,2,1,1]
[2,9,8,7,6,1,5,4,3] => [2,1,1,1,2,1,1]
[4,9,8,7,6,5,2,1,3] => [2,1,1,1,1,1,2]
[5,9,8,7,6,2,1,4,3] => [2,1,1,1,1,2,1]
[6,9,8,7,2,1,5,4,3] => [2,1,1,1,2,1,1]
[7,9,8,2,1,6,5,4,3] => [2,1,1,2,1,1,1]
[8,9,2,1,7,6,5,4,3] => [2,1,2,1,1,1,1]
[1,4,7,2,8,3,5,9,6] => [3,2,3,1]
[1,2,7,3,8,4,5,9,6] => [3,2,3,1]
[1,4,5,7,8,2,3,9,6] => [5,3,1]
[1,2,5,7,8,3,4,9,6] => [5,3,1]
[1,2,3,7,8,4,5,9,6] => [5,3,1]
[1,4,7,2,3,5,8,9,6] => [3,5,1]
[1,2,7,3,4,5,8,9,6] => [3,5,1]
[1,4,5,7,2,3,8,9,6] => [4,4,1]
[1,2,5,7,3,4,8,9,6] => [4,4,1]
[1,2,3,7,4,5,8,9,6] => [4,4,1]
[1,4,5,6,2,7,8,9,3] => [4,4,1]
[1,2,5,6,3,7,8,9,4] => [4,4,1]
[7,8,1,9,2,3,4,5,6] => [2,2,5]
[6,7,8,1,9,2,3,4,5] => [3,2,4]
[5,6,7,8,1,9,2,3,4] => [4,2,3]
[9,1,2,3,4,5,7,6,8] => [1,6,2]
[2,1,3,4,5,9,6,7,8] => [1,5,3]
[7,2,6,5,4,3,1,9,8] => [1,2,1,1,1,2,1]
[3,2,1,9,5,8,7,6,4] => [1,1,2,2,1,1,1]
[6,3,5,4,2,1,9,8,7] => [1,2,1,1,2,1,1]
[4,3,2,1,9,7,8,6,5] => [1,1,1,2,2,1,1]
[1,2,3,4,6,7,8,5,9] => [7,2]
[9,1,2,3,4,8,6,5,7] => [1,5,1,2]
[9,1,2,3,8,5,6,4,7] => [1,4,2,2]
[8,1,2,9,4,5,6,3,7] => [1,3,3,2]
[9,1,8,3,4,5,6,2,7] => [1,2,4,2]
[7,1,2,3,4,9,5,8,6] => [1,5,2,1]
[6,1,2,3,8,4,5,9,7] => [1,4,3,1]
[5,1,2,8,3,4,6,9,7] => [1,3,4,1]
[4,1,9,2,3,5,6,8,7] => [1,2,5,1]
[3,8,1,2,4,5,6,9,7] => [2,6,1]
[8,2,1,3,4,5,6,9,7] => [1,1,6,1]
[9,1,2,3,8,5,4,7,6] => [1,4,1,2,1]
[9,1,2,8,4,3,6,7,5] => [1,3,1,3,1]
[6,1,2,3,9,4,7,8,5] => [1,4,3,1]
[8,1,9,3,2,5,6,7,4] => [1,2,1,4,1]
[5,1,2,8,3,6,4,9,7] => [1,3,2,2,1]
[9,8,2,1,4,5,6,7,3] => [1,1,1,5,1]
[4,1,8,2,5,3,6,9,7] => [1,2,2,3,1]
[8,1,9,2,3,4,5,7,6] => [1,2,5,1]
[3,9,1,4,2,5,6,8,7] => [2,2,4,1]
[8,2,3,1,4,5,6,9,7] => [1,2,5,1]
[2,3,4,5,7,8,1,9,6] => [6,2,1]
[1,3,4,5,2,6,7,8,9] => [4,5]
[2,3,4,5,7,9,1,6,8] => [6,3]
[2,3,4,5,1,6,7,9,8] => [4,4,1]
[4,5,6,1,7,8,9,2,3] => [3,4,2]
[2,1,4,5,3,6,7,8,9] => [1,3,5]
[1,3,2,5,4,6,7,8,9] => [2,2,5]
[2,3,4,5,9,8,6,7,1] => [5,1,2,1]
[2,3,4,9,7,5,8,6,1] => [4,1,2,1,1]
[2,3,9,6,4,7,8,5,1] => [3,1,3,1,1]
[2,9,5,3,6,7,8,4,1] => [2,1,4,1,1]
[9,4,2,5,6,7,8,3,1] => [1,1,5,1,1]
[4,1,6,2,8,3,5,7,9] => [1,2,2,4]
[4,1,6,2,8,3,9,5,7] => [1,2,2,2,2]
[4,1,6,2,7,3,8,5,9] => [1,2,2,2,2]
[8,7,9,1,4,5,6,2,3] => [1,2,4,2]
[7,6,9,1,4,5,2,8,3] => [1,2,3,2,1]
[3,4,5,1,6,2,8,9,7] => [3,2,3,1]
[3,4,1,5,2,7,8,9,6] => [2,2,4,1]
[3,1,4,2,6,7,8,9,5] => [1,2,5,1]
[1,3,2,5,6,7,8,9,4] => [2,6,1]
[2,9,3,4,5,6,7,1,8] => [2,5,2]
[3,9,2,4,5,6,7,8,1] => [2,6,1]
[2,3,4,5,6,9,7,1,8] => [6,1,2]
[2,3,4,5,8,6,9,1,7] => [5,2,2]
[2,3,4,7,5,8,9,1,6] => [4,3,2]
[2,3,6,4,7,8,9,1,5] => [3,4,2]
[2,5,3,6,7,8,9,1,4] => [2,5,2]
[4,5,8,1,2,3,6,9,7] => [3,5,1]
[5,8,1,2,3,6,9,4,7] => [2,5,2]
[4,5,8,1,2,6,9,3,7] => [3,4,2]
[3,4,5,8,1,6,9,2,7] => [4,3,2]
[1,3,5,2,4,6,7,8,9] => [3,6]
[4,1,2,3,5,6,8,7,9] => [1,6,2]
[1,2,4,7,3,5,6,8,9] => [4,5]
[5,1,2,3,4,7,6,8,9] => [1,5,3]
[6,7,9,8,5,4,3,2,1] => [3,1,1,1,1,1,1]
[7,6,8,9,5,4,3,2,1] => [1,3,1,1,1,1,1]
[6,7,5,9,8,4,3,2,1] => [2,2,1,1,1,1,1]
[5,7,9,8,6,4,3,2,1] => [3,1,1,1,1,1,1]
[7,6,8,5,9,4,3,2,1] => [1,2,2,1,1,1,1]
[6,5,8,9,7,4,3,2,1] => [1,3,1,1,1,1,1]
[7,6,4,3,5,2,1,9,8] => [1,1,1,2,1,2,1]
[7,6,3,5,4,2,1,9,8] => [1,1,2,1,1,2,1]
[9,8,4,7,6,5,3,2,1] => [1,1,2,1,1,1,1,1]
[9,8,3,7,6,5,4,2,1] => [1,1,2,1,1,1,1,1]
[9,3,8,7,6,5,4,2,1] => [1,2,1,1,1,1,1,1]
[9,2,8,7,6,5,4,3,1] => [1,2,1,1,1,1,1,1]
[9,8,4,6,5,7,3,2,1] => [1,1,2,2,1,1,1]
[9,8,3,6,5,4,7,2,1] => [1,1,2,1,2,1,1]
[9,3,7,6,5,4,8,2,1] => [1,2,1,1,2,1,1]
[9,2,7,6,5,4,3,8,1] => [1,2,1,1,1,2,1]
[2,1,8,3,9,4,5,6,7] => [1,2,2,4]
[2,1,7,9,3,4,5,6,8] => [1,3,5]
[4,2,1,3,6,5,8,7,9] => [1,1,3,2,2]
[6,2,4,1,3,5,8,7,9] => [1,2,4,2]
[8,2,4,1,6,3,5,7,9] => [1,2,2,4]
[9,2,4,1,6,3,8,5,7] => [1,2,2,2,2]
[7,2,4,1,6,3,5,9,8] => [1,2,2,3,1]
[5,2,4,1,3,7,6,9,8] => [1,2,3,2,1]
[6,2,1,4,3,5,8,7,9] => [1,1,2,3,2]
[8,2,4,1,3,6,5,7,9] => [1,2,3,3]
[9,2,4,1,6,3,5,8,7] => [1,2,2,3,1]
[7,2,4,1,6,3,5,8,9] => [1,2,2,4]
[5,2,4,1,3,9,8,6,7] => [1,2,3,1,2]
[3,2,1,7,6,4,5,9,8] => [1,1,2,1,3,1]
[1,5,4,2,3,7,6,9,8] => [2,1,3,2,1]
[9,2,3,4,1,5,6,7,8] => [1,3,5]
[9,8,4,5,7,6,3,2,1] => [1,1,3,1,1,1,1]
[9,8,5,4,6,7,3,2,1] => [1,1,1,3,1,1,1]
[9,8,4,5,3,7,6,2,1] => [1,1,2,2,1,1,1]
[9,8,3,5,7,6,4,2,1] => [1,1,3,1,1,1,1]
[9,8,5,4,6,3,7,2,1] => [1,1,1,2,2,1,1]
[9,8,4,3,6,7,5,2,1] => [1,1,1,3,1,1,1]
[9,1,2,3,4,7,5,8,6] => [1,5,2,1]
[9,1,4,2,3,5,6,8,7] => [1,2,5,1]
[8,1,2,3,9,4,5,7,6] => [1,4,3,1]
[8,1,2,9,3,4,6,5,7] => [1,3,3,2]
[9,1,2,3,6,4,7,8,5] => [1,4,3,1]
[9,1,8,2,3,5,4,6,7] => [1,2,3,3]
[8,1,2,5,3,6,4,9,7] => [1,3,2,2,1]
[8,9,1,2,4,3,5,6,7] => [2,3,4]
[8,1,4,2,5,3,6,9,7] => [1,2,2,3,1]
[8,1,9,3,2,4,5,6,7] => [1,2,1,5]
[9,3,1,4,2,5,6,8,7] => [1,1,2,4,1]
[2,1,9,3,4,5,6,8,7] => [1,2,5,1]
[1,4,8,2,3,5,6,9,7] => [3,5,1]
[7,1,3,4,5,8,6,9,2] => [1,5,2,1]
[4,1,5,9,2,3,6,8,7] => [1,3,4,1]
[3,8,9,1,2,4,6,5,7] => [3,4,2]
[1,4,5,8,2,3,6,9,7] => [4,4,1]
[1,2,8,3,4,7,5,9,6] => [3,3,2,1]
[6,1,3,4,7,5,8,9,2] => [1,4,3,1]
[4,1,5,6,9,2,3,8,7] => [1,4,3,1]
[3,1,2,9,4,5,8,7,6] => [1,3,3,1,1]
[3,7,9,1,2,5,4,6,8] => [3,3,3]
[8,9,1,3,4,5,6,7,2] => [2,6,1]
[7,8,9,1,3,4,5,6,2] => [3,5,1]
[1,8,9,2,4,5,6,7,3] => [3,5,1]
[9,1,8,2,4,5,6,7,3] => [1,2,5,1]
[1,7,8,9,2,4,5,6,3] => [4,4,1]
[9,1,7,8,2,4,5,6,3] => [1,3,4,1]
[1,9,2,8,3,5,6,7,4] => [2,2,4,1]
[1,9,2,7,8,3,5,6,4] => [2,3,3,1]
[1,2,3,8,9,4,6,7,5] => [5,3,1]
[9,1,8,2,7,3,5,6,4] => [1,2,2,3,1]
[1,2,9,3,8,4,6,7,5] => [3,2,3,1]
[1,2,3,9,4,8,5,7,6] => [4,2,2,1]
[9,8,6,7,4,1,2,3,5] => [1,1,2,1,4]
[9,7,8,5,2,3,4,6,1] => [1,2,1,4,1]
[9,8,6,7,4,2,1,3,5] => [1,1,2,1,1,3]
[9,7,8,5,3,2,4,6,1] => [1,2,1,1,3,1]
[9,8,6,7,3,4,1,2,5] => [1,1,2,2,3]
[8,7,5,6,9,3,1,2,4] => [1,1,3,1,3]
[9,7,8,4,5,2,3,6,1] => [1,2,2,3,1]
[8,6,7,9,4,2,3,5,1] => [1,3,1,3,1]
[1,3,4,2,5,6,7,8,9] => [3,6]
[1,2,4,5,6,3,7,8,9] => [5,4]
[1,2,3,5,6,7,8,4,9] => [7,2]
[2,1,5,3,6,7,4,8,9] => [1,2,3,3]
[1,3,5,6,4,2,7,8,9] => [4,1,4]
[3,5,2,1,6,4,7,8,9] => [2,1,2,4]
[2,1,3,6,4,7,8,9,5] => [1,3,4,1]
[1,3,4,6,7,2,8,5,9] => [5,2,2]
[3,2,6,1,4,7,8,5,9] => [1,2,4,2]
[2,4,6,1,7,5,3,8,9] => [3,2,1,3]
[4,6,3,2,1,7,5,8,9] => [2,1,1,2,3]
[2,4,1,7,5,8,3,9,6] => [2,2,2,2,1]
[4,3,7,2,1,5,8,9,6] => [1,2,1,4,1]
[1,3,5,7,8,6,4,2,9] => [5,1,1,2]
[3,5,7,2,1,8,6,4,9] => [3,1,2,1,2]
[5,7,4,3,2,1,8,6,9] => [2,1,1,1,2,2]
[2,4,6,8,1,9,7,5,3] => [4,2,1,1,1]
[4,6,8,3,2,1,9,7,5] => [3,1,1,2,1,1]
[6,8,5,4,3,2,1,9,7] => [2,1,1,1,1,2,1]
[4,5,6,3,7,2,8,1,9] => [3,2,2,2]
[1,5,6,7,4,8,3,9,2] => [4,2,2,1]
[4,6,5,3,7,2,8,1,9] => [2,1,2,2,2]
[5,6,4,3,7,2,8,1,9] => [2,1,2,2,2]
[1,5,7,6,4,8,3,9,2] => [3,1,2,2,1]
[1,6,7,5,4,8,3,9,2] => [3,1,2,2,1]
[3,5,6,7,8,9,2,4,1] => [6,2,1]
[2,4,6,7,8,9,1,3,5] => [6,3]
[2,5,6,7,8,9,3,1,4] => [6,1,2]
[5,4,6,3,8,1,7,2,9] => [1,2,2,2,2]
[1,6,5,7,4,9,2,8,3] => [2,2,2,2,1]
[5,4,8,1,7,2,6,3,9] => [1,2,2,2,2]
[5,4,8,1,6,3,7,2,9] => [1,2,2,2,2]
[1,6,5,9,2,8,3,7,4] => [2,2,2,2,1]
[1,6,5,9,2,7,4,8,3] => [2,2,2,2,1]
[1,8,2,7,3,5,6,4,9] => [2,2,3,2]
[1,8,2,7,3,4,6,5,9] => [2,2,3,2]
[1,2,9,3,8,4,5,7,6] => [3,2,3,1]
[2,5,6,7,8,1,9,3,4] => [5,2,2]
[4,5,6,7,1,2,8,3,9] => [4,3,2]
[1,3,6,7,8,9,2,4,5] => [6,3]
[3,5,6,7,8,1,2,9,4] => [5,3,1]
[1,3,4,5,6,2,8,9,7] => [5,3,1]
[1,3,4,2,6,7,8,9,5] => [3,5,1]
[7,2,3,4,5,1,6,9,8] => [1,4,3,1]
[6,2,3,4,1,5,8,9,7] => [1,3,4,1]
[5,2,3,9,1,6,7,8,4] => [1,3,4,1]
[4,2,1,3,6,7,8,9,5] => [1,1,6,1]
[1,3,4,5,8,2,7,9,6] => [5,3,1]
[7,2,3,4,5,8,9,1,6] => [1,6,2]
[9,2,3,6,1,5,7,8,4] => [1,3,4,1]
[6,2,3,4,7,1,5,9,8] => [1,4,3,1]
[1,3,6,2,5,7,8,9,4] => [3,5,1]
[5,2,3,6,1,4,8,9,7] => [1,3,4,1]
[1,5,2,4,6,7,8,9,3] => [2,6,1]
[4,2,5,9,1,6,7,8,3] => [1,3,4,1]
[2,3,4,5,7,6,8,9,1] => [5,3,1]
[2,3,4,5,7,8,6,9,1] => [6,2,1]
[2,3,4,5,8,7,6,9,1] => [5,1,2,1]
[2,3,4,5,7,9,8,6,1] => [6,1,1,1]
[4,5,6,3,7,8,9,2,1] => [3,4,1,1]
[7,2,1,4,3,6,5,9,8] => [1,1,2,2,2,1]
[5,2,1,4,3,7,6,9,8] => [1,1,2,2,2,1]
[6,2,4,3,1,5,8,7,9] => [1,2,1,3,2]
[8,2,1,4,6,5,3,7,9] => [1,1,3,1,3]
[9,2,1,4,3,6,8,7,5] => [1,1,2,3,1,1]
[7,2,1,4,3,6,5,8,9] => [1,1,2,2,3]
[5,2,1,4,3,9,6,8,7] => [1,1,2,2,2,1]
[3,2,1,7,4,6,5,9,8] => [1,1,2,2,2,1]
[1,5,2,4,3,7,6,9,8] => [2,2,2,2,1]
[1,2,3,4,7,9,5,6,8] => [6,3]
[1,2,3,4,6,7,9,5,8] => [7,2]
[1,2,3,4,8,5,6,9,7] => [5,3,1]
[1,2,3,4,7,8,5,9,6] => [6,2,1]
[2,5,4,6,3,1,8,7,9] => [2,2,1,2,2]
[2,4,3,7,6,8,5,1,9] => [2,2,2,1,2]
[2,3,4,5,8,6,7,9,1] => [5,3,1]
[2,3,4,5,9,6,8,7,1] => [5,2,1,1]
[9,3,4,5,2,6,7,8,1] => [1,3,4,1]
[7,8,2,3,4,5,1,6,9] => [2,4,3]
[1,8,9,3,4,5,6,2,7] => [3,4,2]
[2,1,3,4,5,8,6,7,9] => [1,5,3]
[9,3,8,1,7,6,5,4,2] => [1,2,2,1,1,1,1]
[4,9,8,1,7,6,5,3,2] => [2,1,2,1,1,1,1]
[4,2,9,1,8,7,6,5,3] => [1,2,2,1,1,1,1]
[5,9,8,7,1,6,4,3,2] => [2,1,1,2,1,1,1]
[5,2,9,8,1,7,6,4,3] => [1,2,1,2,1,1,1]
[5,3,2,9,1,8,7,6,4] => [1,1,2,2,1,1,1]
[6,2,9,8,7,1,5,4,3] => [1,2,1,1,2,1,1]
[6,9,3,8,7,1,5,4,2] => [2,2,1,2,1,1]
[6,3,2,9,8,1,7,5,4] => [1,1,2,1,2,1,1]
[6,4,9,2,8,1,7,5,3] => [1,2,2,2,1,1]
[6,4,3,2,9,1,8,7,5] => [1,1,1,2,2,1,1]
[7,4,9,2,8,6,1,5,3] => [1,2,2,1,2,1]
[7,4,3,2,9,8,1,6,5] => [1,1,1,2,1,2,1]
[7,5,3,9,2,8,1,6,4] => [1,1,2,2,2,1]
[7,5,4,3,2,9,1,8,6] => [1,1,1,1,2,2,1]
[9,2,3,4,5,1,6,7,8] => [1,4,4]
[7,2,3,4,5,6,9,1,8] => [1,6,2]
[6,2,3,4,5,9,1,7,8] => [1,5,3]
[5,2,3,4,9,1,6,7,8] => [1,4,4]
[4,2,3,9,1,5,6,7,8] => [1,3,5]
[3,2,9,1,4,5,6,7,8] => [1,2,6]
[4,5,6,7,8,1,3,9,2] => [5,3,1]
[2,1,9,8,7,6,5,3,4] => [1,2,1,1,1,1,2]
[2,1,9,8,7,6,4,3,5] => [1,2,1,1,1,1,2]
[2,1,9,8,7,6,3,5,4] => [1,2,1,1,1,2,1]
[4,5,3,6,7,8,9,1,2] => [2,5,2]
[5,3,4,6,7,8,9,1,2] => [1,6,2]
[2,1,8,7,9,6,5,4,3] => [1,2,2,1,1,1,1]
[2,1,7,9,8,6,5,4,3] => [1,3,1,1,1,1,1]
[3,4,9,1,2,5,6,7,8] => [3,6]
[9,5,4,3,2,1,6,7,8] => [1,1,1,1,1,4]
[2,5,4,3,1,6,7,8,9] => [2,1,1,5]
[2,7,6,5,4,3,1,8,9] => [2,1,1,1,1,3]
[4,3,5,6,2,1,7,8,9] => [1,3,1,4]
[3,6,1,5,4,2,7,8,9] => [2,2,1,4]
[4,3,7,8,6,5,2,1,9] => [1,3,1,1,1,2]
[3,8,1,7,6,5,4,2,9] => [2,2,1,1,1,2]
[5,6,4,2,7,3,1,8,9] => [2,1,2,1,3]
[3,4,7,1,6,5,2,8,9] => [3,2,1,3]
[5,8,4,2,9,7,6,3,1] => [2,1,2,1,1,1,1]
[3,4,9,1,8,7,6,5,2] => [3,2,1,1,1,1]
[6,5,8,7,2,1,4,3,9] => [1,2,1,1,2,2]
[3,6,7,5,2,8,4,1,9] => [3,1,2,1,2]
[4,5,8,1,2,7,6,3,9] => [3,3,1,2]
[4,5,6,7,1,2,3,8,9] => [4,5]
[6,7,4,9,8,3,1,5,2] => [2,2,1,1,2,1]
[4,7,8,1,6,3,9,5,2] => [3,2,2,1,1]
[4,5,6,9,1,2,8,7,3] => [4,3,1,1]
[7,5,9,1,2,3,4,6,8] => [1,2,6]
[6,4,7,9,1,2,3,5,8] => [1,3,5]
[5,3,6,7,9,1,2,4,8] => [1,4,4]
[4,2,5,6,7,9,1,3,8] => [1,5,3]
[1,2,3,7,4,8,5,9,6] => [4,2,2,1]
[1,2,3,4,7,5,9,8,6] => [5,2,1,1]
[1,2,6,3,7,4,9,8,5] => [3,2,2,1,1]
[1,2,3,8,6,4,9,7,5] => [4,1,2,1,1]
[1,2,3,6,4,9,8,7,5] => [4,2,1,1,1]
[5,1,6,2,7,3,9,8,4] => [1,2,2,2,1,1]
[1,5,2,8,6,3,9,7,4] => [2,2,1,2,1,1]
[1,5,2,6,3,9,8,7,4] => [2,2,2,1,1,1]
[1,2,7,5,3,9,8,6,4] => [3,1,2,1,1,1]
[1,2,5,3,9,8,7,6,4] => [3,2,1,1,1,1]
[4,1,7,5,2,9,8,6,3] => [1,2,1,2,1,1,1]
[4,1,5,2,9,8,7,6,3] => [1,2,2,1,1,1,1]
[1,6,4,2,9,8,7,5,3] => [2,1,2,1,1,1,1]
[1,4,2,9,8,7,6,5,3] => [2,2,1,1,1,1,1]
[7,5,3,1,9,8,6,4,2] => [1,1,1,2,1,1,1,1]
[5,3,1,9,8,7,6,4,2] => [1,1,2,1,1,1,1,1]
[1,9,2,8,3,4,5,6,7] => [2,2,5]
[8,1,2,7,3,4,5,6,9] => [1,3,5]
[8,1,6,2,3,4,5,7,9] => [1,2,6]
[1,9,2,3,8,4,5,6,7] => [2,3,4]
[1,9,2,7,3,4,5,6,8] => [2,2,5]
[2,3,4,5,8,7,6,1,9] => [5,1,1,2]
[1,3,4,5,6,9,8,7,2] => [6,1,1,1]
[1,2,3,4,5,8,9,7,6] => [7,1,1]
[1,2,3,4,8,9,6,7,5] => [6,2,1]
[1,2,3,8,9,5,6,7,4] => [5,3,1]
[1,2,8,9,4,5,6,7,3] => [4,4,1]
[9,4,2,3,5,6,7,8,1] => [1,1,6,1]
[3,1,6,7,2,4,8,9,5] => [1,3,4,1]
[3,1,6,7,2,4,5,8,9] => [1,3,5]
[3,1,2,6,7,4,5,8,9] => [1,4,4]
[1,3,2,6,7,4,5,8,9] => [2,3,4]
[3,6,1,2,4,7,5,8,9] => [2,4,3]
[3,6,1,2,7,9,4,5,8] => [2,4,3]
[3,5,1,2,6,9,4,7,8] => [2,4,3]
[3,1,7,8,2,4,5,6,9] => [1,3,5]
[3,1,2,6,7,4,8,9,5] => [1,4,3,1]
[1,3,6,7,2,4,5,8,9] => [4,5]
[3,1,6,2,4,7,5,8,9] => [1,2,3,3]
[3,6,1,7,9,2,4,5,8] => [2,3,4]
[3,5,1,2,6,7,4,8,9] => [2,4,3]
[2,6,1,3,7,9,4,5,8] => [2,4,3]
[1,7,5,3,2,8,6,4,9] => [2,1,1,2,1,2]
[1,2,8,6,4,3,9,7,5] => [3,1,1,2,1,1]
[1,7,5,3,8,6,4,2,9] => [2,1,2,1,1,2]
[1,6,4,2,8,7,5,3,9] => [2,1,2,1,1,2]
[1,2,8,6,4,9,7,5,3] => [3,1,2,1,1,1]
[1,4,2,5,6,7,9,8,3] => [2,5,1,1]
[2,1,4,5,6,9,7,3,8] => [1,5,1,2]
[3,1,5,2,9,6,7,8,4] => [1,2,2,3,1]
[4,5,1,6,8,7,9,2,3] => [2,3,2,2]
[2,3,1,5,9,6,7,4,8] => [2,3,2,2]
[1,2,4,5,7,9,6,3,8] => [6,1,2]
[3,4,6,5,7,1,2,9,8] => [3,2,3,1]
[3,1,9,4,2,6,7,8,5] => [1,2,1,4,1]
[1,2,5,3,9,6,8,7,4] => [3,2,2,1,1]
[4,5,1,7,6,8,2,9,3] => [2,2,2,2,1]
[4,8,7,6,5,3,2,1,9] => [2,1,1,1,1,1,2]
[5,8,7,4,6,3,2,1,9] => [2,1,2,1,1,2]
[8,4,7,6,5,3,2,1,9] => [1,2,1,1,1,1,2]
[6,9,8,5,7,4,1,3,2] => [2,1,2,1,2,1]
[9,8,7,5,1,6,4,3,2] => [1,1,1,1,2,1,1,1]
[1,2,8,3,4,5,6,9,7] => [3,5,1]
[1,9,5,2,3,8,4,6,7] => [2,1,3,3]
[1,8,2,9,4,3,5,6,7] => [2,2,1,4]
[1,3,2,4,9,8,5,6,7] => [2,3,1,3]
[2,1,3,4,5,9,8,6,7] => [1,5,1,2]
[9,1,7,2,3,4,5,8,6] => [1,2,5,1]
[1,8,5,2,3,4,6,9,7] => [2,1,5,1]
[9,8,1,2,3,5,6,4,7] => [1,1,5,2]
[1,4,2,3,9,5,6,8,7] => [2,3,3,1]
[4,9,8,1,2,5,3,6,7] => [2,1,3,3]
[1,3,2,4,5,9,6,8,7] => [2,4,2,1]
[1,8,3,9,4,2,5,6,7] => [2,2,1,4]
[2,3,1,4,9,8,5,6,7] => [2,3,1,3]
[8,7,6,5,4,1,9,3,2] => [1,1,1,1,1,2,1,1]
[8,7,6,5,2,9,1,3,4] => [1,1,1,1,2,3]
[8,7,6,3,9,2,1,4,5] => [1,1,1,2,1,3]
[8,7,4,9,3,2,1,6,5] => [1,1,2,1,1,2,1]
[8,5,9,4,3,2,1,6,7] => [1,2,1,1,1,3]
[6,9,5,4,3,2,1,7,8] => [2,1,1,1,1,3]
[8,7,6,5,2,1,4,3,9] => [1,1,1,1,1,2,2]
[8,7,6,3,2,5,1,4,9] => [1,1,1,1,2,3]
[8,7,6,5,1,9,4,3,2] => [1,1,1,1,2,1,1,1]
[8,7,4,3,6,2,1,9,5] => [1,1,1,2,1,2,1]
[8,7,6,2,9,5,1,3,4] => [1,1,1,2,1,3]
[8,5,4,7,3,2,1,6,9] => [1,1,2,1,1,3]
[8,7,3,9,6,2,1,4,5] => [1,1,2,1,1,3]
[6,5,8,4,3,2,1,7,9] => [1,2,1,1,1,3]
[8,4,9,7,3,2,1,6,5] => [1,2,1,1,1,2,1]
[5,9,8,4,3,2,1,6,7] => [2,1,1,1,1,3]
[9,5,4,3,2,1,8,7,6] => [1,1,1,1,1,2,1,1]
[9,3,2,1,8,7,6,5,4] => [1,1,1,2,1,1,1,1]
[6,5,4,3,2,1,9,7,8] => [1,1,1,1,1,2,2]
[5,4,3,2,1,9,6,8,7] => [1,1,1,1,2,2,1]
[4,3,2,1,9,5,8,7,6] => [1,1,1,2,2,1,1]
[3,2,1,9,4,8,7,6,5] => [1,1,2,2,1,1,1]
[2,1,9,3,8,7,6,5,4] => [1,2,2,1,1,1,1]
[6,1,7,2,3,4,5,9,8] => [1,2,5,1]
[5,7,1,2,3,4,6,9,8] => [2,6,1]
[2,1,3,4,9,5,6,7,8] => [1,4,4]
[9,8,6,5,7,4,3,2,1] => [1,1,1,2,1,1,1,1]
[9,8,5,7,6,4,3,2,1] => [1,1,2,1,1,1,1,1]
[2,1,3,9,8,4,5,6,7] => [1,3,1,4]
[2,1,3,8,4,5,6,7,9] => [1,3,5]
[8,9,1,2,4,5,6,7,3] => [2,6,1]
[9,6,7,3,4,5,1,2,8] => [1,2,3,3]
[8,3,1,2,9,5,6,7,4] => [1,1,3,3,1]
[9,7,8,1,4,5,6,2,3] => [1,2,4,2]
[9,5,6,3,4,1,7,2,8] => [1,2,2,2,2]
[8,3,1,4,2,9,6,7,5] => [1,1,2,2,2,1]
[7,8,1,2,9,3,5,6,4] => [2,3,3,1]
[9,6,7,1,4,5,2,8,3] => [1,2,3,2,1]
[2,9,8,6,5,7,4,3,1] => [2,1,1,2,1,1,1]
[7,1,8,2,3,4,5,9,6] => [1,2,5,1]
[6,8,1,2,3,4,5,9,7] => [2,6,1]
[2,7,9,1,3,4,5,6,8] => [3,6]
[9,6,7,4,5,2,3,1,8] => [1,2,2,2,2]
[8,9,6,7,4,5,2,1,3] => [2,2,2,1,2]
[7,5,6,4,2,3,1,8,9] => [1,2,1,2,3]
[6,5,3,4,2,1,7,8,9] => [1,1,2,1,4]
[9,6,8,7,5,2,4,3,1] => [1,2,1,1,2,1,1]
[8,6,3,7,5,2,4,1,9] => [1,1,2,1,2,2]
[7,6,4,3,5,2,1,8,9] => [1,1,1,2,1,3]
[9,7,4,3,8,6,2,5,1] => [1,1,1,2,1,2,1]
[8,7,5,4,3,6,2,1,9] => [1,1,1,1,2,1,2]
[9,8,6,5,4,3,7,2,1] => [1,1,1,1,1,2,1,1]
[1,3,5,8,2,4,6,7,9] => [4,5]
[5,1,2,8,3,4,6,7,9] => [1,3,5]
[2,8,1,5,3,4,6,7,9] => [2,2,5]
[2,7,1,4,8,3,5,6,9] => [2,3,4]
[2,4,9,1,7,3,5,6,8] => [3,2,4]
[2,6,1,4,9,3,5,7,8] => [2,3,4]
[4,1,2,6,9,3,5,7,8] => [1,4,4]
[1,2,4,6,9,3,5,7,8] => [5,4]
[2,8,1,4,5,3,6,7,9] => [2,3,4]
[2,6,1,4,7,8,3,5,9] => [2,4,3]
[2,4,8,1,6,9,3,5,7] => [3,3,3]
[2,7,1,5,3,4,6,8,9] => [2,2,5]
[2,9,1,4,7,3,5,6,8] => [2,3,4]
[6,1,2,4,9,3,5,7,8] => [1,4,4]
[4,2,6,9,1,3,5,7,8] => [1,3,5]
[2,3,6,4,5,1,7,8,9] => [3,2,4]
[2,3,4,8,5,6,7,1,9] => [4,3,2]
[3,5,4,7,2,6,1,8,9] => [2,2,2,3]
[2,6,4,1,5,3,7,8,9] => [2,1,2,4]
[4,5,2,6,3,1,7,8,9] => [2,2,1,4]
[3,6,4,5,9,2,7,8,1] => [2,3,3,1]
[2,5,4,7,8,6,3,1,9] => [2,3,1,1,2]
[4,6,2,5,8,3,7,1,9] => [2,3,2,2]
[3,5,7,6,1,4,2,8,9] => [3,1,2,3]
[5,6,2,3,7,4,1,8,9] => [2,3,1,3]
[5,7,2,3,6,9,4,8,1] => [2,4,2,1]
[2,8,4,1,6,3,7,5,9] => [2,1,2,2,2]
[4,6,7,8,3,1,5,2,9] => [4,1,2,2]
[6,7,2,3,4,8,5,1,9] => [2,4,1,2]
[3,5,9,7,1,8,2,6,4] => [3,1,2,2,1]
[5,7,8,3,9,4,1,6,2] => [3,2,1,2,1]
[7,8,2,3,4,5,9,6,1] => [2,5,1,1]
[7,8,9,2,3,4,5,6,1] => [3,5,1]
[7,9,2,3,4,5,1,6,8] => [2,4,3]
[8,9,7,2,3,1,4,5,6] => [2,1,2,4]
[7,8,1,9,6,2,3,4,5] => [2,2,1,4]
[6,1,7,8,4,9,2,3,5] => [1,3,2,3]
[1,5,6,7,8,9,4,2,3] => [6,1,2]
[8,6,9,2,3,4,5,7,1] => [1,2,5,1]
[7,5,8,9,2,3,4,6,1] => [1,3,4,1]
[6,7,9,2,3,1,4,5,8] => [3,2,4]
[6,4,7,8,9,2,3,1,5] => [1,4,2,2]
[8,9,5,1,7,2,3,4,6] => [2,1,2,4]
[5,3,6,7,8,9,2,4,1] => [1,5,2,1]
[7,1,8,9,4,6,2,3,5] => [1,3,2,3]
[1,6,7,8,3,4,9,2,5] => [4,3,2]
[8,7,6,4,9,3,2,1,5] => [1,1,1,2,1,1,2]
[8,7,5,4,9,3,2,1,6] => [1,1,1,2,1,1,2]
[8,7,4,9,6,3,2,1,5] => [1,1,2,1,1,1,2]
[9,7,8,5,6,2,4,1,3] => [1,2,2,2,2]
[9,7,8,4,6,2,5,1,3] => [1,2,2,2,2]
[9,6,8,4,7,2,5,1,3] => [1,2,2,2,2]
[8,9,6,4,7,2,5,1,3] => [2,1,2,2,2]
[8,9,6,7,4,2,5,1,3] => [2,2,1,2,2]
[9,7,8,3,6,2,5,1,4] => [1,2,2,2,2]
[9,5,8,4,7,2,6,1,3] => [1,2,2,2,2]
[7,6,9,4,8,2,5,1,3] => [1,2,2,2,2]
[8,6,9,7,4,2,5,1,3] => [1,2,1,1,2,2]
[8,9,6,4,7,5,2,1,3] => [2,1,2,1,1,2]
[8,9,6,7,4,2,5,3,1] => [2,2,1,2,1,1]
[9,7,6,5,4,3,2,8,1] => [1,1,1,1,1,1,2,1]
[3,1,4,6,2,5,8,7,9] => [1,3,3,2]
[1,3,2,5,7,4,6,9,8] => [2,3,3,1]
[1,9,8,5,6,7,4,3,2] => [2,1,3,1,1,1]
[1,9,8,5,4,6,7,3,2] => [2,1,1,3,1,1]
[1,9,5,4,6,7,8,3,2] => [2,1,4,1,1]
[6,7,5,8,9,1,2,3,4] => [2,3,4]
[6,7,8,5,9,1,2,3,4] => [3,2,4]
[6,7,8,9,5,1,2,3,4] => [4,1,4]
[5,7,8,9,1,6,2,3,4] => [4,2,3]
[5,6,8,9,1,2,7,3,4] => [4,3,2]
[7,6,5,8,9,1,2,3,4] => [1,1,3,4]
[6,8,7,5,9,1,2,3,4] => [2,1,2,4]
[6,7,9,8,5,1,2,3,4] => [3,1,1,4]
[4,5,7,8,9,6,1,2,3] => [5,1,3]
[5,6,8,9,2,1,7,3,4] => [4,1,2,2]
[5,6,7,9,1,3,2,8,4] => [4,2,2,1]
[5,6,7,8,1,2,4,3,9] => [4,3,2]
[3,9,4,5,6,7,2,1,8] => [2,4,1,2]
[4,1,9,5,6,7,8,3,2] => [1,2,4,1,1]
[4,2,9,5,6,7,3,1,8] => [1,2,3,1,2]
[3,9,4,5,6,2,7,1,8] => [2,3,2,2]
[5,1,3,9,6,7,8,4,2] => [1,3,3,1,1]
[4,1,9,5,6,7,3,8,2] => [1,2,3,2,1]
[5,2,3,9,6,7,4,1,8] => [1,3,2,1,2]
[4,5,9,6,7,3,2,1,8] => [3,2,1,1,2]
[3,9,4,5,2,6,7,1,8] => [2,2,3,2]
[6,1,3,4,9,7,8,5,2] => [1,4,2,1,1]
[5,1,6,9,7,8,4,3,2] => [1,3,2,1,1,1]
[4,1,9,5,6,3,7,8,2] => [1,2,2,3,1]
[1,2,4,3,6,9,8,7,5] => [3,3,1,1,1]
[2,3,5,4,7,9,8,6,1] => [3,3,1,1,1]
[2,1,4,3,6,9,8,7,5] => [1,2,3,1,1,1]
[3,2,5,4,7,9,8,6,1] => [1,2,3,1,1,1]
[1,3,4,2,6,9,8,7,5] => [3,3,1,1,1]
[1,3,2,5,8,7,6,9,4] => [2,3,1,2,1]
[2,4,5,3,7,9,8,6,1] => [3,3,1,1,1]
[2,4,3,6,8,7,9,5,1] => [2,3,2,1,1]
[1,2,3,4,7,5,6,9,8] => [5,3,1]
[1,2,5,3,4,7,6,9,8] => [3,3,2,1]
[9,8,7,6,5,3,1,4,2] => [1,1,1,1,1,1,2,1]
[9,8,7,6,4,1,5,3,2] => [1,1,1,1,1,2,1,1]
[9,8,6,1,7,5,4,3,2] => [1,1,1,2,1,1,1,1]
[9,7,1,8,6,5,4,3,2] => [1,1,2,1,1,1,1,1]
[1,2,7,4,5,6,8,9,3] => [3,5,1]
[1,2,3,4,7,8,5,6,9] => [6,3]
[1,2,3,4,6,5,8,7,9] => [5,2,2]
[1,2,3,4,8,9,5,6,7] => [6,3]
[2,1,7,8,9,3,4,5,6] => [1,4,4]
[9,7,5,3,8,6,4,2,1] => [1,1,1,2,1,1,1,1]
[8,6,9,7,4,3,2,1,5] => [1,2,1,1,1,1,2]
[8,6,3,2,1,4,9,7,5] => [1,1,1,1,3,1,1]
[8,6,4,9,7,5,2,1,3] => [1,1,2,1,1,1,2]
[9,7,5,3,8,6,4,1,2] => [1,1,1,2,1,1,2]
[9,6,7,8,5,4,3,2,1] => [1,3,1,1,1,1,1]
[8,5,6,9,7,4,3,2,1] => [1,3,1,1,1,1,1]
[8,6,3,2,1,9,7,4,5] => [1,1,1,1,2,1,2]
[9,7,8,4,3,2,1,5,6] => [1,2,1,1,1,3]
[8,6,3,4,9,7,5,2,1] => [1,1,3,1,1,1,1]
[8,6,9,7,3,2,1,4,5] => [1,2,1,1,1,3]
[9,7,5,2,3,8,6,4,1] => [1,1,1,3,1,1,1]
[8,6,2,1,3,4,9,7,5] => [1,1,1,4,1,1]
[8,6,4,9,7,5,1,2,3] => [1,1,2,1,1,3]
[2,5,1,6,3,7,4,8,9] => [2,2,2,3]
[2,6,1,7,3,8,4,9,5] => [2,2,2,2,1]
[3,4,6,1,7,2,8,5,9] => [3,2,2,2]
[3,2,6,1,7,4,8,5,9] => [1,2,2,2,2]
[4,2,5,6,1,7,3,8,9] => [1,3,2,3]
[3,4,2,6,1,7,5,8,9] => [2,2,2,3]
[4,2,5,7,1,8,3,9,6] => [1,3,2,2,1]
[3,4,2,7,1,8,5,9,6] => [2,2,2,2,1]
[5,3,6,4,7,1,8,2,9] => [1,2,2,2,2]
[3,5,2,6,7,1,8,4,9] => [2,3,2,2]
[4,3,5,2,7,1,8,6,9] => [1,2,2,2,2]
[4,6,2,7,5,8,1,9,3] => [2,2,2,2,1]
[4,3,6,2,7,8,1,9,5] => [1,2,3,2,1]
[4,5,3,6,2,8,1,9,7] => [2,2,2,2,1]
[7,6,5,9,4,3,2,1,8] => [1,1,2,1,1,1,2]
[7,6,5,4,3,9,2,1,8] => [1,1,1,1,2,1,2]
[7,9,8,5,4,3,2,1,6] => [2,1,1,1,1,1,2]
[7,6,9,8,4,3,2,1,5] => [1,2,1,1,1,1,2]
[7,6,5,9,8,3,2,1,4] => [1,1,2,1,1,1,2]
[7,6,5,4,9,8,2,1,3] => [1,1,1,2,1,1,2]
[7,6,5,4,3,9,8,1,2] => [1,1,1,1,2,1,2]
[6,1,7,8,9,2,3,4,5] => [1,4,4]
[4,5,6,7,1,9,2,3,8] => [4,2,3]
[3,5,6,7,9,1,2,4,8] => [5,4]
[5,1,6,7,8,2,9,3,4] => [1,4,2,2]
[4,1,6,7,8,9,2,3,5] => [1,5,3]
[6,5,7,4,3,2,1,9,8] => [1,2,1,1,1,2,1]
[5,7,6,4,3,2,1,9,8] => [2,1,1,1,1,2,1]
[5,6,7,8,9,1,3,4,2] => [5,3,1]
[6,7,8,9,1,3,4,5,2] => [4,4,1]
[6,7,8,9,1,4,5,2,3] => [4,3,2]
[6,7,8,9,1,4,5,3,2] => [4,3,1,1]
[6,7,8,9,1,5,4,3,2] => [4,2,1,1,1]
[7,8,9,1,4,5,6,2,3] => [3,4,2]
[7,8,9,1,4,5,6,3,2] => [3,4,1,1]
[7,8,9,1,5,6,3,4,2] => [3,3,2,1]
[7,8,9,1,5,6,4,3,2] => [3,3,1,1,1]
[7,8,9,1,6,5,4,3,2] => [3,2,1,1,1,1]
[8,9,1,5,6,7,3,4,2] => [2,4,2,1]
[8,9,1,5,6,7,4,3,2] => [2,4,1,1,1]
[8,9,1,6,7,4,5,2,3] => [2,3,2,2]
[8,9,1,6,7,4,5,3,2] => [2,3,2,1,1]
[8,9,1,6,7,5,4,3,2] => [2,3,1,1,1,1]
[9,1,7,8,5,6,3,4,2] => [1,3,2,2,1]
[9,1,7,8,5,6,4,3,2] => [1,3,2,1,1,1]
[2,9,1,4,5,6,7,8,3] => [2,6,1]
[7,9,2,3,4,5,6,8,1] => [2,6,1]
[2,9,3,1,5,6,7,8,4] => [2,1,5,1]
[2,8,1,4,5,6,7,9,3] => [2,6,1]
[2,3,4,5,7,9,6,8,1] => [6,2,1]
[2,3,4,6,9,5,7,8,1] => [5,3,1]
[2,3,5,9,4,6,7,8,1] => [4,4,1]
[2,4,9,3,5,6,7,8,1] => [3,5,1]
[5,9,8,7,6,4,3,1,2] => [2,1,1,1,1,1,2]
[5,4,8,7,6,3,2,1,9] => [1,2,1,1,1,1,2]
[6,5,9,8,7,4,3,1,2] => [1,2,1,1,1,1,2]
[9,5,8,7,6,4,3,1,2] => [1,2,1,1,1,1,2]
[7,6,8,5,4,3,2,9,1] => [1,2,1,1,1,2,1]
[6,8,7,5,4,3,2,9,1] => [2,1,1,1,1,2,1]
[2,7,9,8,6,5,4,3,1] => [3,1,1,1,1,1,1]
[6,7,8,5,4,3,2,9,1] => [3,1,1,1,2,1]
[2,7,8,9,6,5,4,3,1] => [4,1,1,1,1,1]
[2,3,4,5,6,1,8,9,7] => [5,3,1]
[2,3,4,5,1,7,8,9,6] => [4,4,1]
[2,9,3,4,5,6,1,7,8] => [2,4,3]
[2,8,3,4,5,1,6,9,7] => [2,3,3,1]
[2,7,3,4,1,5,8,9,6] => [2,2,4,1]
[2,6,3,1,4,7,8,9,5] => [2,1,5,1]
[1,3,2,4,6,5,8,7,9] => [2,3,2,2]
[1,3,2,5,4,6,8,7,9] => [2,2,3,2]
[1,3,2,5,4,7,6,8,9] => [2,2,2,3]
[4,2,5,3,7,6,9,8,1] => [1,2,2,2,1,1]
[4,2,6,3,7,5,9,8,1] => [1,2,2,2,1,1]
[4,2,6,3,8,5,9,7,1] => [1,2,2,2,1,1]
[4,2,6,3,8,5,1,7,9] => [1,2,2,1,3]
[4,2,6,3,8,5,7,1,9] => [1,2,2,2,2]
[4,2,6,3,5,8,7,1,9] => [1,2,3,1,2]
[4,2,3,6,5,8,7,1,9] => [1,3,2,1,2]
[5,2,6,3,7,4,9,8,1] => [1,2,2,2,1,1]
[4,2,7,3,8,5,9,6,1] => [1,2,2,2,1,1]
[4,2,6,3,9,5,1,7,8] => [1,2,2,1,3]
[4,2,6,3,8,5,7,9,1] => [1,2,2,3,1]
[4,2,6,3,5,8,1,7,9] => [1,2,3,3]
[4,2,3,6,8,5,7,1,9] => [1,4,2,2]
[2,4,6,3,5,8,7,1,9] => [3,3,1,2]
[7,9,1,8,6,5,4,3,2] => [2,2,1,1,1,1,1]
[6,9,1,8,7,5,4,3,2] => [2,2,1,1,1,1,1]
[3,4,5,6,9,2,1,8,7] => [5,1,2,1]
[3,4,5,8,2,9,1,7,6] => [4,2,2,1]
[3,4,7,2,8,9,1,5,6] => [3,3,3]
[3,6,2,7,8,9,1,5,4] => [2,4,2,1]
[5,2,6,7,8,9,1,4,3] => [1,5,2,1]
[3,4,5,6,9,1,7,8,2] => [5,3,1]
[3,4,5,8,9,6,1,7,2] => [5,1,2,1]
[3,4,7,8,5,9,1,2,6] => [4,2,3]
[3,4,5,9,2,6,1,8,7] => [4,2,2,1]
[3,6,7,4,8,9,1,5,2] => [3,3,2,1]
[3,4,8,2,5,9,1,7,6] => [3,3,2,1]
[5,6,3,7,8,9,1,4,2] => [2,4,2,1]
[3,7,2,4,8,9,1,5,6] => [2,4,3]
[6,2,3,7,8,9,1,5,4] => [1,5,2,1]
[2,9,8,5,7,6,4,3,1] => [2,1,2,1,1,1,1]
[8,7,4,5,6,3,2,9,1] => [1,1,3,1,2,1]
[2,9,8,5,6,7,4,3,1] => [2,1,3,1,1,1]
[8,9,7,6,5,4,1,3,2] => [2,1,1,1,1,2,1]
[8,7,9,6,5,4,1,3,2] => [1,2,1,1,1,2,1]
[9,7,8,6,5,4,1,3,2] => [1,2,1,1,1,2,1]
[9,2,8,7,5,6,4,3,1] => [1,2,1,2,1,1,1]
[7,9,8,4,5,6,1,3,2] => [2,1,3,2,1]
[8,2,9,7,5,6,4,1,3] => [1,2,1,2,1,2]
[7,2,9,8,5,6,1,4,3] => [1,2,1,2,2,1]
[8,5,4,3,2,6,9,1,7] => [1,1,1,1,3,2]
[8,2,3,9,7,6,5,1,4] => [1,3,1,1,1,2]
[9,2,6,5,4,3,7,8,1] => [1,2,1,1,3,1]
[1,3,2,4,5,6,9,7,8] => [2,5,2]
[2,3,1,4,5,6,9,7,8] => [2,5,2]
[3,2,4,5,6,8,9,1,7] => [1,6,2]
[3,2,1,4,5,6,7,9,8] => [1,1,6,1]
[1,3,2,4,5,6,8,7,9] => [2,5,2]
[3,4,5,9,1,2,6,7,8] => [4,5]
[4,3,9,5,6,7,8,2,1] => [1,2,4,1,1]
[3,2,8,5,6,7,1,9,4] => [1,2,3,2,1]
[7,8,4,5,6,1,3,9,2] => [2,3,3,1]
[3,4,1,9,6,7,8,2,5] => [2,2,3,2]
[4,8,9,5,6,7,2,1,3] => [3,3,1,2]
[4,2,3,8,6,7,1,9,5] => [1,3,2,2,1]
[6,8,4,5,1,3,7,9,2] => [2,2,4,1]
[3,5,1,4,9,7,8,2,6] => [2,3,2,2]
[8,3,4,9,6,7,2,5,1] => [1,3,2,2,1]
[4,7,9,5,6,2,1,8,3] => [3,2,1,2,1]
[8,1,2,5,3,4,6,7,9] => [1,3,5]
[1,9,2,3,6,4,5,7,8] => [2,3,4]
[8,1,2,6,4,3,5,7,9] => [1,3,1,4]
[8,1,2,6,3,5,4,7,9] => [1,3,2,3]
[1,9,2,3,7,5,4,6,8] => [2,3,1,3]
[1,9,2,3,7,4,6,5,8] => [2,3,2,2]
[4,3,8,7,6,5,2,1,9] => [1,2,1,1,1,1,2]
[8,3,7,6,5,4,2,1,9] => [1,2,1,1,1,1,2]
[5,4,9,8,7,6,3,1,2] => [1,2,1,1,1,1,2]
[9,4,8,7,6,5,3,1,2] => [1,2,1,1,1,1,2]
[5,6,7,8,9,3,2,1,4] => [5,1,1,2]
[6,7,8,9,3,4,1,2,5] => [4,2,3]
[6,7,8,9,3,4,2,1,5] => [4,2,1,2]
[7,8,9,3,4,5,1,2,6] => [3,3,3]
[7,8,9,3,4,5,2,1,6] => [3,3,1,2]
[7,8,9,4,5,2,3,1,6] => [3,2,2,2]
[7,8,9,4,5,3,2,1,6] => [3,2,1,1,2]
[8,9,4,5,6,2,3,1,7] => [2,3,2,2]
[8,9,4,5,6,3,2,1,7] => [2,3,1,1,2]
[8,9,5,6,3,4,1,2,7] => [2,2,2,3]
[8,9,5,6,3,4,2,1,7] => [2,2,2,1,2]
[8,9,5,6,4,3,2,1,7] => [2,2,1,1,1,2]
[9,6,7,4,5,3,2,1,8] => [1,2,2,1,1,2]
[1,5,3,4,6,7,8,9,2] => [2,6,1]
[1,4,5,3,6,7,8,9,2] => [3,5,1]
[4,2,6,1,3,5,8,7,9] => [1,2,4,2]
[4,2,6,1,8,3,5,7,9] => [1,2,2,4]
[4,2,8,1,3,6,5,7,9] => [1,2,3,3]
[4,2,6,1,9,3,5,8,7] => [1,2,2,3,1]
[9,7,1,8,2,3,4,5,6] => [1,1,2,5]
[9,6,1,7,2,8,3,4,5] => [1,1,2,2,3]
[8,6,1,9,7,2,3,4,5] => [1,1,2,1,4]
[9,8,6,1,7,2,3,4,5] => [1,1,1,2,4]
[8,5,1,9,6,2,7,3,4] => [1,1,2,1,2,2]
[9,8,5,1,6,2,7,3,4] => [1,1,1,2,2,2]
[9,7,5,1,8,6,2,3,4] => [1,1,1,2,1,3]
[9,8,7,5,1,6,2,3,4] => [1,1,1,1,2,3]
[9,7,4,1,8,5,2,6,3] => [1,1,1,2,1,2,1]
[9,8,7,4,1,5,2,6,3] => [1,1,1,1,2,2,1]
[8,6,4,1,9,7,5,2,3] => [1,1,1,2,1,1,2]
[9,8,6,4,1,7,5,2,3] => [1,1,1,1,2,1,2]
[9,8,7,6,4,1,5,2,3] => [1,1,1,1,1,2,2]
[9,8,7,5,3,1,6,4,2] => [1,1,1,1,1,2,1,1]
[9,1,2,8,4,3,5,6,7] => [1,3,1,4]
[8,1,9,3,2,4,6,5,7] => [1,2,1,3,2]
[9,8,2,1,3,5,6,4,7] => [1,1,1,4,2]
[8,1,9,2,4,5,6,3,7] => [1,2,4,2]
[1,4,3,6,5,8,7,9,2] => [2,2,2,2,1]
[1,4,2,6,5,8,7,9,3] => [2,2,2,2,1]
[1,5,2,6,4,8,7,9,3] => [2,2,2,2,1]
[1,5,2,7,4,8,6,9,3] => [2,2,2,2,1]
[1,5,2,7,4,9,6,8,3] => [2,2,2,2,1]
[1,5,2,7,4,6,9,8,3] => [2,2,3,1,1]
[1,5,2,4,7,6,9,8,3] => [2,3,2,1,1]
[1,2,5,4,7,6,9,8,3] => [3,2,2,1,1]
[1,5,2,6,3,8,7,9,4] => [2,2,2,2,1]
[1,6,2,7,4,8,5,9,3] => [2,2,2,2,1]
[1,5,2,8,4,9,6,7,3] => [2,2,2,2,1]
[1,5,2,7,4,6,8,9,3] => [2,2,4,1]
[1,5,2,4,7,9,6,8,3] => [2,4,2,1]
[1,2,5,7,4,6,9,8,3] => [4,3,1,1]
[4,5,6,7,9,8,3,2,1] => [5,1,1,1,1]
[5,4,6,7,8,9,3,2,1] => [1,5,1,1,1]
[6,5,7,8,9,4,3,2,1] => [1,4,1,1,1,1]
[4,5,6,7,3,9,8,2,1] => [4,2,1,1,1]
[3,5,6,7,9,8,4,2,1] => [5,1,1,1,1]
[5,4,6,7,8,3,9,2,1] => [1,4,2,1,1]
[4,3,6,7,8,9,5,2,1] => [1,5,1,1,1]
[3,4,5,6,8,9,7,1,2] => [6,1,2]
[3,4,5,7,8,9,6,1,2] => [6,1,2]
[3,5,6,7,8,9,4,1,2] => [6,1,2]
[4,5,6,7,8,9,3,1,2] => [6,1,2]
[3,4,5,8,1,9,7,6,2] => [4,2,1,1,1]
[3,4,7,1,8,9,6,5,2] => [3,3,1,1,1]
[3,6,1,7,8,9,4,5,2] => [2,4,2,1]
[5,1,6,7,8,9,4,3,2] => [1,5,1,1,1]
[1,5,6,7,8,9,3,2,4] => [6,1,2]
[3,4,5,8,9,6,7,1,2] => [5,2,2]
[3,4,7,8,5,9,6,1,2] => [4,2,1,2]
[3,4,5,9,1,6,7,8,2] => [4,4,1]
[3,4,8,1,5,9,7,6,2] => [3,3,1,1,1]
[5,6,3,7,8,9,4,1,2] => [2,4,1,2]
[3,7,1,4,8,9,6,5,2] => [2,4,1,1,1]
[5,2,6,7,8,9,3,1,4] => [1,5,1,2]
[6,1,3,7,8,9,4,5,2] => [1,5,2,1]
[1,2,6,7,8,9,4,3,5] => [6,1,2]
[1,2,3,4,9,5,8,6,7] => [5,2,2]
[1,2,3,4,9,5,8,7,6] => [5,2,1,1]
[1,2,3,9,4,5,6,8,7] => [4,4,1]
[1,2,3,9,4,5,8,6,7] => [4,3,2]
[1,2,3,9,4,5,8,7,6] => [4,3,1,1]
[1,2,3,9,4,8,7,6,5] => [4,2,1,1,1]
[1,2,9,3,4,8,5,6,7] => [3,3,3]
[1,2,9,3,4,8,5,7,6] => [3,3,2,1]
[1,2,9,3,4,8,7,6,5] => [3,3,1,1,1]
[1,2,9,3,8,4,7,6,5] => [3,2,2,1,1]
[1,2,9,3,8,7,6,5,4] => [3,2,1,1,1,1]
[1,9,2,8,3,7,6,5,4] => [2,2,2,1,1,1]
[8,1,7,2,9,3,4,5,6] => [1,2,2,4]
[8,1,7,2,6,3,9,4,5] => [1,2,2,2,2]
[7,1,6,2,9,3,8,4,5] => [1,2,2,2,2]
[7,1,6,2,8,3,9,4,5] => [1,2,2,2,2]
[8,1,7,2,6,5,3,9,4] => [1,2,2,1,2,1]
[7,1,6,5,2,9,3,8,4] => [1,2,1,2,2,1]
[7,1,6,5,2,8,3,9,4] => [1,2,1,2,2,1]
[6,5,1,8,2,7,3,9,4] => [1,1,2,2,2,1]
[6,5,1,7,2,8,3,9,4] => [1,1,2,2,2,1]
[4,5,6,8,1,7,2,9,3] => [4,2,2,1]
[7,4,5,6,1,9,2,8,3] => [1,3,2,2,1]
[7,4,5,6,1,8,2,9,3] => [1,3,2,2,1]
[6,4,5,7,1,8,2,9,3] => [1,3,2,2,1]
[5,6,4,7,1,8,2,9,3] => [2,2,2,2,1]
[6,5,3,8,4,7,1,9,2] => [1,1,2,2,2,1]
[6,5,3,7,4,8,1,9,2] => [1,1,2,2,2,1]
[5,6,3,7,4,8,1,9,2] => [2,2,2,2,1]
[5,6,4,7,3,8,1,9,2] => [2,2,2,2,1]
[9,3,4,5,6,8,7,2,1] => [1,5,1,1,1]
[9,4,3,5,6,7,8,2,1] => [1,1,5,1,1]
[9,8,3,4,5,7,6,2,1] => [1,1,4,1,1,1]
[9,8,4,3,5,6,7,2,1] => [1,1,1,4,1,1]
[9,3,4,5,6,2,8,7,1] => [1,4,2,1,1]
[9,2,4,5,6,8,7,3,1] => [1,5,1,1,1]
[9,4,3,5,6,7,2,8,1] => [1,1,4,2,1]
[9,3,2,5,6,7,8,4,1] => [1,1,5,1,1]
[4,6,3,5,7,2,8,1,9] => [2,3,2,2]
[5,6,3,4,7,2,8,1,9] => [2,3,2,2]
[1,5,7,4,6,8,3,9,2] => [3,3,2,1]
[1,6,7,4,5,8,3,9,2] => [3,3,2,1]
[1,2,3,4,8,5,9,6,7] => [5,2,2]
[1,2,3,7,4,5,8,6,9] => [4,3,2]
[1,2,3,4,8,6,5,7,9] => [5,1,3]
[1,2,3,4,9,7,5,6,8] => [5,1,3]
[2,1,4,9,3,5,6,7,8] => [1,3,5]
[3,7,1,2,4,5,6,9,8] => [2,6,1]
[3,1,2,6,9,4,5,7,8] => [1,4,4]
[4,6,1,2,3,5,9,7,8] => [2,5,2]
[9,7,6,5,4,3,8,2,1] => [1,1,1,1,1,2,1,1]
[9,8,6,5,4,7,3,2,1] => [1,1,1,1,2,1,1,1]
[5,4,3,2,1,9,7,8,6] => [1,1,1,1,2,2,1]
[6,4,2,1,3,5,8,7,9] => [1,1,1,4,2]
[9,8,6,4,2,1,3,5,7] => [1,1,1,1,1,4]
[7,6,4,2,1,3,5,9,8] => [1,1,1,1,4,1]
[5,4,2,1,3,7,6,9,8] => [1,1,1,3,2,1]
[8,4,2,1,3,6,5,7,9] => [1,1,1,3,3]
[9,6,4,2,1,3,5,8,7] => [1,1,1,1,4,1]
[7,6,4,2,1,3,5,8,9] => [1,1,1,1,5]
[5,4,2,1,3,9,8,6,7] => [1,1,1,3,1,2]
[9,8,4,7,5,6,3,2,1] => [1,1,2,2,1,1,1]
[8,7,4,3,6,5,2,1,9] => [1,1,1,2,1,1,2]
[8,7,3,6,5,4,2,1,9] => [1,1,2,1,1,1,2]
[9,8,3,7,5,6,4,2,1] => [1,1,2,2,1,1,1]
[6,5,7,8,1,2,3,4,9] => [1,3,5]
[1,7,6,8,9,2,3,4,5] => [2,3,4]
[6,7,5,8,1,2,3,4,9] => [2,2,5]
[7,5,6,8,1,2,3,4,9] => [1,3,5]
[1,7,8,6,9,2,3,4,5] => [3,2,4]
[1,8,6,7,9,2,3,4,5] => [2,3,4]
[2,3,4,5,1,6,9,8,7] => [4,3,1,1]
[2,3,5,1,4,6,9,7,8] => [3,4,2]
[2,3,1,4,5,6,9,8,7] => [2,5,1,1]
[2,1,3,4,5,6,9,8,7] => [1,6,1,1]
[3,4,5,7,1,8,9,6,2] => [4,3,1,1]
[3,4,6,1,7,2,9,8,5] => [3,2,2,1,1]
[2,4,1,5,3,6,9,7,8] => [2,2,3,2]
[4,1,5,2,3,6,9,8,7] => [1,2,4,1,1]
[2,3,4,5,1,9,6,8,7] => [4,2,2,1]
[2,3,4,1,5,7,9,8,6] => [3,4,1,1]
[2,3,4,6,9,1,5,7,8] => [5,4]
[2,3,1,4,7,5,9,6,8] => [2,3,2,2]
[3,4,6,1,7,8,9,5,2] => [3,4,1,1]
[2,1,3,5,4,6,9,8,7] => [1,3,3,1,1]
[3,5,1,6,7,2,9,8,4] => [2,3,2,1,1]
[1,2,4,3,5,6,9,8,7] => [3,4,1,1]
[3,1,4,5,2,6,9,7,8] => [1,3,3,2]
[1,4,5,2,3,6,9,8,7] => [3,4,1,1]
[1,2,6,3,4,5,7,8,9] => [3,6]
[1,4,5,2,3,6,7,8,9] => [3,6]
[1,2,3,8,4,5,6,7,9] => [4,5]
[1,4,2,7,3,5,6,8,9] => [2,2,5]
[1,5,4,6,2,3,7,8,9] => [2,2,5]
[1,4,2,3,9,5,6,7,8] => [2,3,4]
[1,2,4,7,8,3,5,6,9] => [5,4]
[1,5,4,2,8,3,6,7,9] => [2,1,2,4]
[1,3,7,5,6,2,4,8,9] => [3,2,4]
[1,6,5,4,7,2,3,8,9] => [2,1,2,4]
[1,3,2,7,8,9,4,5,6] => [2,4,3]
[1,6,5,4,2,9,3,7,8] => [2,1,1,2,3]
[1,3,7,8,5,6,2,4,9] => [4,2,3]
[1,7,6,5,4,8,2,3,9] => [2,1,1,2,3]
[1,3,9,4,8,6,7,2,5] => [3,2,2,2]
[1,3,8,7,9,5,6,2,4] => [3,2,2,2]
[1,8,7,6,5,4,9,2,3] => [2,1,1,1,2,2]
[2,1,4,3,6,5,8,7,10,9] => [1,2,2,2,2,1]
[3,4,1,2,6,5,8,7,10,9] => [2,3,2,2,1]
[4,3,2,1,6,5,8,7,10,9] => [1,1,1,2,2,2,1]
[6,3,2,5,4,1,8,7,10,9] => [1,1,2,1,2,2,1]
[8,3,2,5,4,7,6,1,10,9] => [1,1,2,2,1,2,1]
[10,3,2,5,4,7,6,9,8,1] => [1,1,2,2,2,1,1]
[4,5,6,1,2,3,8,7,10,9] => [3,4,2,1]
[3,5,1,6,2,4,8,7,10,9] => [2,2,3,2,1]
[2,1,5,6,3,4,8,7,10,9] => [1,3,3,2,1]
[2,1,6,5,4,3,8,7,10,9] => [1,2,1,1,2,2,1]
[6,5,4,3,2,1,8,7,10,9] => [1,1,1,1,1,2,2,1]
[8,5,4,3,2,7,6,1,10,9] => [1,1,1,1,2,1,2,1]
[10,5,4,3,2,7,6,9,8,1] => [1,1,1,1,2,2,1,1]
[2,1,8,5,4,7,6,3,10,9] => [1,2,1,2,1,2,1]
[8,7,4,3,6,5,2,1,10,9] => [1,1,1,2,1,1,2,1]
[10,7,4,3,6,5,2,9,8,1] => [1,1,1,2,1,2,1,1]
[2,1,10,5,4,7,6,9,8,3] => [1,2,1,2,2,1,1]
[10,9,4,3,6,5,8,7,2,1] => [1,1,1,2,2,1,1,1]
[8,9,5,6,3,4,10,1,2,7] => [2,2,3,3]
[5,6,7,8,1,2,3,4,10,9] => [4,5,1]
[4,6,7,1,8,2,3,5,10,9] => [3,2,4,1]
[3,6,1,7,8,2,4,5,10,9] => [2,3,4,1]
[2,1,6,7,8,3,4,5,10,9] => [1,4,4,1]
[2,1,5,7,3,8,4,6,10,9] => [1,3,2,3,1]
[3,5,1,7,2,8,4,6,10,9] => [2,2,2,3,1]
[4,5,7,1,2,8,3,6,10,9] => [3,3,3,1]
[3,4,1,2,7,8,5,6,10,9] => [2,4,3,1]
[2,1,4,3,7,8,5,6,10,9] => [1,2,3,3,1]
[2,1,4,3,8,7,6,5,10,9] => [1,2,2,1,1,2,1]
[4,3,2,1,8,7,6,5,10,9] => [1,1,1,2,1,1,2,1]
[8,3,2,7,6,5,4,1,10,9] => [1,1,2,1,1,1,2,1]
[10,3,2,7,6,5,4,9,8,1] => [1,1,2,1,1,2,1,1]
[2,1,8,7,6,5,4,3,10,9] => [1,2,1,1,1,1,2,1]
[8,7,6,5,4,3,2,1,10,9] => [1,1,1,1,1,1,1,2,1]
[9,7,6,5,4,3,2,10,1,8] => [1,1,1,1,1,1,2,2]
[10,7,6,5,4,3,2,9,8,1] => [1,1,1,1,1,1,2,1,1]
[2,1,10,7,6,5,4,9,8,3] => [1,2,1,1,1,2,1,1]
[10,9,6,5,4,3,8,7,2,1] => [1,1,1,1,1,2,1,1,1]
[2,1,4,3,10,7,6,9,8,5] => [1,2,2,1,2,1,1]
[4,3,2,1,10,7,6,9,8,5] => [1,1,1,2,1,2,1,1]
[10,3,2,9,6,5,8,7,4,1] => [1,1,2,1,2,1,1,1]
[2,1,10,9,6,5,8,7,4,3] => [1,2,1,1,2,1,1,1]
[10,9,8,5,4,7,6,3,2,1] => [1,1,1,1,2,1,1,1,1]
[10,8,9,6,7,4,5,2,3,1] => [1,2,2,2,2,1]
[7,6,9,8,10,2,1,4,3,5] => [1,2,2,1,2,2]
[6,7,9,8,10,1,2,4,3,5] => [3,2,3,2]
[6,8,9,7,10,1,4,2,3,5] => [3,2,2,3]
[7,8,9,6,10,4,1,2,3,5] => [3,2,1,4]
[8,7,9,6,10,4,2,1,3,5] => [1,2,2,1,1,3]
[9,8,7,6,10,4,3,2,1,5] => [1,1,1,2,1,1,1,2]
[8,9,7,6,10,4,3,1,2,5] => [2,1,2,1,1,3]
[7,9,8,6,10,4,1,3,2,5] => [2,1,2,1,2,2]
[6,9,8,7,10,1,4,3,2,5] => [2,1,2,2,1,2]
[8,7,6,9,10,3,2,1,4,5] => [1,1,3,1,1,3]
[7,8,6,9,10,3,1,2,4,5] => [2,3,1,4]
[6,8,7,9,10,1,3,2,4,5] => [2,3,2,3]
[2,1,7,8,9,10,3,4,5,6] => [1,5,4]
[3,7,1,8,9,10,2,4,5,6] => [2,4,4]
[4,7,8,1,9,10,2,3,5,6] => [3,3,4]
[5,7,8,9,1,10,2,3,4,6] => [4,2,4]
[6,7,8,9,10,1,2,3,4,5] => [5,5]
[7,6,8,9,10,2,1,3,4,5] => [1,4,1,4]
[5,6,8,9,1,2,10,3,4,7] => [4,3,3]
[4,6,8,1,9,2,10,3,5,7] => [3,2,2,3]
[3,6,1,8,9,2,10,4,5,7] => [2,3,2,3]
[2,1,6,8,9,3,10,4,5,7] => [1,4,2,3]
[2,1,5,8,3,9,10,4,6,7] => [1,3,3,3]
[3,5,1,8,2,9,10,4,6,7] => [2,2,3,3]
[4,5,8,1,2,9,10,3,6,7] => [3,4,3]
[7,3,2,8,9,10,1,4,5,6] => [1,1,4,4]
[3,4,1,2,8,9,10,5,6,7] => [2,5,3]
[2,1,4,3,8,9,10,5,6,7] => [1,2,4,3]
[2,1,4,3,7,9,5,10,6,8] => [1,2,3,2,2]
[3,4,1,2,7,9,5,10,6,8] => [2,4,2,2]
[4,5,7,1,2,9,3,10,6,8] => [3,3,2,2]
[3,5,1,7,2,9,4,10,6,8] => [2,2,2,2,2]
[2,1,5,7,3,9,4,10,6,8] => [1,3,2,2,2]
[2,1,6,7,9,3,4,10,5,8] => [1,4,3,2]
[3,6,1,7,9,2,4,10,5,8] => [2,3,3,2]
[4,6,7,1,9,2,3,10,5,8] => [3,2,3,2]
[5,6,7,9,1,2,3,10,4,8] => [4,4,2]
[8,5,4,3,2,9,10,1,6,7] => [1,1,1,1,3,3]
[2,1,5,6,3,4,9,10,7,8] => [1,3,4,2]
[3,5,1,6,2,4,9,10,7,8] => [2,2,4,2]
[4,5,6,1,2,3,9,10,7,8] => [3,5,2]
[3,4,1,2,6,5,9,10,7,8] => [2,3,3,2]
[2,1,4,3,6,5,9,10,7,8] => [1,2,2,3,2]
[2,1,4,3,6,5,10,9,8,7] => [1,2,2,2,1,1,1]
[4,3,2,1,6,5,10,9,8,7] => [1,1,1,2,2,1,1,1]
[6,3,2,5,4,1,10,9,8,7] => [1,1,2,1,2,1,1,1]
[10,3,2,5,4,9,8,7,6,1] => [1,1,2,2,1,1,1,1]
[2,1,6,5,4,3,10,9,8,7] => [1,2,1,1,2,1,1,1]
[6,5,4,3,2,1,10,9,8,7] => [1,1,1,1,1,2,1,1,1]
[7,5,4,3,2,10,1,9,8,6] => [1,1,1,1,2,2,1,1]
[8,5,4,3,2,10,9,1,7,6] => [1,1,1,1,2,1,2,1]
[10,5,4,3,2,9,8,7,6,1] => [1,1,1,1,2,1,1,1,1]
[8,6,4,3,10,2,9,1,7,5] => [1,1,1,2,2,2,1]
[8,7,4,3,10,9,2,1,6,5] => [1,1,1,2,1,1,2,1]
[10,7,4,3,9,8,2,6,5,1] => [1,1,1,2,1,2,1,1]
[2,1,10,5,4,9,8,7,6,3] => [1,2,1,2,1,1,1,1]
[10,9,4,3,8,7,6,5,2,1] => [1,1,1,2,1,1,1,1,1]
[8,10,5,9,3,7,6,1,4,2] => [2,2,2,1,2,1]
[7,10,5,9,3,8,1,6,4,2] => [2,2,2,2,1,1]
[9,7,5,10,3,8,2,6,1,4] => [1,1,2,2,2,2]
[5,6,7,10,1,2,3,9,8,4] => [4,4,1,1]
[7,6,8,10,9,2,1,3,5,4] => [1,3,1,1,3,1]
[6,7,8,10,9,1,2,3,5,4] => [4,1,4,1]
[6,8,7,10,9,1,3,2,5,4] => [2,2,1,2,2,1]
[7,8,6,10,9,3,1,2,5,4] => [2,2,1,1,3,1]
[8,7,6,10,9,3,2,1,5,4] => [1,1,2,1,1,1,2,1]
[6,9,8,10,7,1,5,3,2,4] => [2,2,1,2,1,2]
[7,9,8,10,6,5,1,3,2,4] => [2,2,1,1,2,2]
[8,9,7,10,6,5,3,1,2,4] => [2,2,1,1,1,3]
[9,8,7,10,6,5,3,2,1,4] => [1,1,2,1,1,1,1,2]
[8,7,9,10,6,5,2,1,3,4] => [1,3,1,1,1,3]
[7,8,9,10,6,5,1,2,3,4] => [4,1,1,4]
[6,8,9,10,7,1,5,2,3,4] => [4,1,2,3]
[6,7,9,10,8,1,2,5,3,4] => [4,1,3,2]
[7,6,9,10,8,2,1,5,3,4] => [1,3,1,1,2,2]
[2,1,4,3,10,9,8,7,6,5] => [1,2,2,1,1,1,1,1]
[4,3,2,1,10,9,8,7,6,5] => [1,1,1,2,1,1,1,1,1]
[5,3,2,10,1,9,8,7,6,4] => [1,1,2,2,1,1,1,1]
[6,3,2,10,9,1,8,7,5,4] => [1,1,2,1,2,1,1,1]
[7,3,2,10,9,8,1,6,5,4] => [1,1,2,1,1,2,1,1]
[8,3,2,10,9,7,6,1,5,4] => [1,1,2,1,1,1,2,1]
[10,3,2,9,8,7,6,5,4,1] => [1,1,2,1,1,1,1,1,1]
[7,4,10,2,9,8,1,6,5,3] => [1,2,2,1,2,1,1]
[6,4,10,2,9,1,8,7,5,3] => [1,2,2,2,1,1,1]
[4,5,10,1,2,9,8,7,6,3] => [3,3,1,1,1,1]
[6,5,10,9,2,1,8,7,4,3] => [1,2,1,1,2,1,1,1]
[8,5,10,9,2,7,6,1,4,3] => [1,2,1,2,1,2,1]
[7,6,10,9,8,2,1,5,4,3] => [1,2,1,1,1,2,1,1]
[6,7,10,9,8,1,2,5,4,3] => [3,1,1,3,1,1]
[6,8,10,9,7,1,5,2,4,3] => [3,1,1,2,2,1]
[7,8,10,9,6,5,1,2,4,3] => [3,1,1,1,3,1]
[8,7,10,9,6,5,2,1,4,3] => [1,2,1,1,1,1,2,1]
[9,8,10,7,6,5,4,2,1,3] => [1,2,1,1,1,1,1,2]
[8,9,10,7,6,5,4,1,2,3] => [3,1,1,1,1,3]
[7,9,10,8,6,5,1,4,2,3] => [3,1,1,1,2,2]
[6,9,10,8,7,1,5,4,2,3] => [3,1,1,2,1,2]
[2,1,10,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1]
[3,10,1,9,8,7,6,5,4,2] => [2,2,1,1,1,1,1,1]
[4,10,9,1,8,7,6,5,3,2] => [2,1,2,1,1,1,1,1]
[5,10,9,8,1,7,6,4,3,2] => [2,1,1,2,1,1,1,1]
[6,10,9,8,7,1,5,4,3,2] => [2,1,1,1,2,1,1,1]
[7,10,9,8,6,5,1,4,3,2] => [2,1,1,1,1,2,1,1]
[8,10,9,7,6,5,4,1,3,2] => [2,1,1,1,1,1,2,1]
[9,10,8,7,6,5,4,3,1,2] => [2,1,1,1,1,1,1,2]
[10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1]
[3,4,2,1,6,5,8,7,10,9] => [2,1,2,2,2,1]
[3,5,2,6,4,1,8,7,10,9] => [2,2,1,2,2,1]
[3,5,2,7,4,8,6,1,10,9] => [2,2,2,1,2,1]
[3,5,2,7,4,9,6,10,8,1] => [2,2,2,2,1,1]
[2,1,5,6,4,3,8,7,10,9] => [1,3,1,2,2,1]
[4,5,6,3,2,1,8,7,10,9] => [3,1,1,2,2,1]
[4,5,7,3,2,8,6,1,10,9] => [3,1,2,1,2,1]
[4,5,7,3,2,9,6,10,8,1] => [3,1,2,2,1,1]
[2,1,5,7,4,8,6,3,10,9] => [1,3,2,1,2,1]
[4,6,7,3,8,5,2,1,10,9] => [3,2,1,1,2,1]
[4,6,7,3,9,5,2,10,8,1] => [3,2,1,2,1,1]
[2,1,5,7,4,9,6,10,8,3] => [1,3,2,2,1,1]
[4,6,8,3,9,5,10,7,2,1] => [3,2,2,1,1,1]
[2,1,4,3,7,8,6,5,10,9] => [1,2,3,1,2,1]
[3,4,2,1,7,8,6,5,10,9] => [2,1,3,1,2,1]
[3,6,2,7,8,5,4,1,10,9] => [2,3,1,1,2,1]
[3,6,2,7,9,5,4,10,8,1] => [2,3,1,2,1,1]
[2,1,6,7,8,5,4,3,10,9] => [1,4,1,1,2,1]
[5,6,7,8,4,3,2,1,10,9] => [4,1,1,1,2,1]
[5,6,7,9,4,3,2,10,8,1] => [4,1,1,2,1,1]
[2,1,6,7,9,5,4,10,8,3] => [1,4,1,2,1,1]
[5,6,8,9,4,3,10,7,2,1] => [4,1,2,1,1,1]
[2,1,4,3,7,9,6,10,8,5] => [1,2,3,2,1,1]
[3,4,2,1,7,9,6,10,8,5] => [2,1,3,2,1,1]
[3,6,2,8,9,5,10,7,4,1] => [2,3,2,1,1,1]
[2,1,6,8,9,5,10,7,4,3] => [1,4,2,1,1,1]
[5,7,8,9,4,10,6,3,2,1] => [4,2,1,1,1,1]
[6,7,8,9,10,4,5,3,2,1] => [5,2,1,1,1]
[6,7,8,9,10,1,4,5,3,2] => [5,3,1,1]
[6,7,8,9,10,1,4,5,2,3] => [5,3,2]
[6,7,8,9,10,4,5,2,3,1] => [5,2,2,1]
[6,7,8,9,10,4,3,2,1,5] => [5,1,1,1,2]
[6,7,8,9,10,3,4,5,2,1] => [5,3,1,1]
[6,7,8,9,10,3,4,5,1,2] => [5,3,2]
[6,7,8,9,10,1,3,4,5,2] => [5,4,1]
[6,7,8,9,10,3,4,1,2,5] => [5,2,3]
[6,7,8,9,10,3,4,2,1,5] => [5,2,1,2]
[6,7,8,9,10,2,3,4,1,5] => [5,3,2]
[6,7,8,9,10,2,3,4,5,1] => [5,4,1]
[2,1,4,3,6,5,9,10,8,7] => [1,2,2,3,1,1]
[3,4,2,1,6,5,9,10,8,7] => [2,1,2,3,1,1]
[3,5,2,6,4,1,9,10,8,7] => [2,2,1,3,1,1]
[3,5,2,8,4,9,10,7,6,1] => [2,2,3,1,1,1]
[2,1,5,6,4,3,9,10,8,7] => [1,3,1,3,1,1]
[4,5,6,3,2,1,9,10,8,7] => [3,1,1,3,1,1]
[4,5,8,3,2,9,10,7,6,1] => [3,1,3,1,1,1]
[2,1,5,8,4,9,10,7,6,3] => [1,3,3,1,1,1]
[4,7,8,3,9,10,6,5,2,1] => [3,3,1,1,1,1]
[6,7,8,9,10,1,2,3,5,4] => [5,4,1]
[6,7,8,9,10,1,3,2,5,4] => [5,2,2,1]
[2,1,4,3,8,9,10,7,6,5] => [1,2,4,1,1,1]
[3,4,2,1,8,9,10,7,6,5] => [2,1,4,1,1,1]
[3,7,2,8,9,10,6,5,4,1] => [2,4,1,1,1,1]
[6,7,8,9,10,2,1,5,4,3] => [5,1,2,1,1]
[6,7,8,9,10,1,2,5,4,3] => [5,3,1,1]
[2,1,7,8,9,10,6,5,4,3] => [1,5,1,1,1,1]
[6,7,8,9,10,1,5,4,3,2] => [5,2,1,1,1]
[6,7,8,9,10,5,4,3,2,1] => [5,1,1,1,1,1]
[2,3,4,5,6,7,8,9,10,1] => [9,1]
[2,3,4,5,6,7,8,9,1,10] => [8,2]
[2,3,4,5,6,7,8,10,1,9] => [8,2]
[2,3,4,5,6,7,9,10,1,8] => [8,2]
[2,3,4,5,6,8,9,10,1,7] => [8,2]
[2,3,4,5,7,8,9,10,1,6] => [8,2]
[2,3,4,6,7,8,9,10,1,5] => [8,2]
[2,3,5,6,7,8,9,10,1,4] => [8,2]
[2,4,5,6,7,8,9,10,1,3] => [8,2]
[3,4,5,6,7,8,9,10,1,2] => [8,2]
[10,8,9,5,6,7,1,2,3,4] => [1,2,3,4]
[10,8,9,4,5,6,1,2,3,7] => [1,2,3,4]
[10,7,8,5,6,9,1,2,3,4] => [1,2,3,4]
[10,7,8,4,5,9,1,2,3,6] => [1,2,3,4]
[10,6,7,4,5,8,1,2,3,9] => [1,2,3,4]
[10,7,8,3,4,9,1,2,5,6] => [1,2,3,4]
[10,6,7,3,4,8,1,2,5,9] => [1,2,3,4]
[9,8,10,5,6,7,1,2,3,4] => [1,2,3,4]
[9,8,10,4,5,6,1,2,3,7] => [1,2,3,4]
[9,7,10,5,6,8,1,2,3,4] => [1,2,3,4]
[9,7,10,4,5,8,1,2,3,6] => [1,2,3,4]
[9,6,10,4,5,7,1,2,3,8] => [1,2,3,4]
[9,7,10,3,4,8,1,2,5,6] => [1,2,3,4]
[9,6,10,3,4,7,1,2,5,8] => [1,2,3,4]
[8,7,9,5,6,10,1,2,3,4] => [1,2,3,4]
[8,7,9,4,5,10,1,2,3,6] => [1,2,3,4]
[8,6,9,4,5,10,1,2,3,7] => [1,2,3,4]
[7,6,8,4,5,9,1,2,3,10] => [1,2,3,4]
[8,7,9,3,4,10,1,2,5,6] => [1,2,3,4]
[8,6,9,3,4,10,1,2,5,7] => [1,2,3,4]
[7,6,8,3,4,9,1,2,5,10] => [1,2,3,4]
[9,6,10,5,7,8,1,2,3,4] => [1,2,3,4]
[9,6,10,4,7,8,1,2,3,5] => [1,2,3,4]
[9,5,10,4,6,7,1,2,3,8] => [1,2,3,4]
[9,6,10,3,7,8,1,2,4,5] => [1,2,3,4]
[9,5,10,3,6,7,1,2,4,8] => [1,2,3,4]
[8,6,9,5,7,10,1,2,3,4] => [1,2,3,4]
[8,6,9,4,7,10,1,2,3,5] => [1,2,3,4]
[8,5,9,4,6,10,1,2,3,7] => [1,2,3,4]
[7,5,8,4,6,9,1,2,3,10] => [1,2,3,4]
[8,6,9,3,7,10,1,2,4,5] => [1,2,3,4]
[8,5,9,3,6,10,1,2,4,7] => [1,2,3,4]
[7,5,8,3,6,9,1,2,4,10] => [1,2,3,4]
[8,4,9,3,5,10,1,2,6,7] => [1,2,3,4]
[7,4,8,3,5,9,1,2,6,10] => [1,2,3,4]
[9,6,10,2,7,8,1,3,4,5] => [1,2,3,4]
[9,5,10,2,6,7,1,3,4,8] => [1,2,3,4]
[8,6,9,2,7,10,1,3,4,5] => [1,2,3,4]
[8,5,9,2,6,10,1,3,4,7] => [1,2,3,4]
[7,5,8,2,6,9,1,3,4,10] => [1,2,3,4]
[8,4,9,2,5,10,1,3,6,7] => [1,2,3,4]
[7,4,8,2,5,9,1,3,6,10] => [1,2,3,4]
[1,2,3,4,5,6,7,8,10,9] => [9,1]
[2,1,3,4,5,6,7,8,9,10] => [1,9]
[9,1,2,3,4,5,6,7,10,8] => [1,8,1]
[2,10,1,3,4,5,6,7,8,9] => [2,8]
[1,2,3,4,5,6,7,8,9,10] => [10]
[1,2,3,4,5,6,7,9,10,8] => [9,1]
[1,2,3,4,5,6,8,9,10,7] => [9,1]
[1,2,3,4,5,7,8,9,10,6] => [9,1]
[1,2,3,4,6,7,8,9,10,5] => [9,1]
[1,2,3,5,6,7,8,9,10,4] => [9,1]
[1,2,4,5,6,7,8,9,10,3] => [9,1]
[1,3,4,5,6,7,8,9,10,2] => [9,1]
[9,10,8,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1]
[9,8,10,7,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1]
[9,8,7,10,6,5,4,3,2,1] => [1,1,2,1,1,1,1,1,1]
[9,8,7,6,10,5,4,3,2,1] => [1,1,1,2,1,1,1,1,1]
[9,8,7,6,5,10,4,3,2,1] => [1,1,1,1,2,1,1,1,1]
[9,8,7,6,5,4,10,3,2,1] => [1,1,1,1,1,2,1,1,1]
[9,8,7,6,5,4,3,10,2,1] => [1,1,1,1,1,1,2,1,1]
[9,8,7,6,5,4,3,2,10,1] => [1,1,1,1,1,1,1,2,1]
[9,8,7,6,5,4,3,2,1,10] => [1,1,1,1,1,1,1,1,2]
[10,1,2,3,4,5,6,7,8,9] => [1,9]
[10,1,2,3,4,5,6,9,7,8] => [1,7,2]
[10,1,2,3,4,5,9,6,7,8] => [1,6,3]
[9,1,2,3,4,10,5,6,7,8] => [1,5,4]
[10,1,2,3,9,4,5,6,7,8] => [1,4,5]
[10,1,2,9,3,4,5,6,7,8] => [1,3,6]
[9,1,10,2,3,4,5,6,7,8] => [1,2,7]
[10,9,1,2,3,4,5,6,7,8] => [1,1,8]
[8,1,2,3,4,5,6,9,10,7] => [1,8,1]
[7,1,2,3,4,5,10,9,6,8] => [1,6,1,2]
[6,1,2,3,4,10,9,5,7,8] => [1,5,1,3]
[5,1,2,3,9,10,4,6,7,8] => [1,5,4]
[4,1,2,10,9,3,5,6,7,8] => [1,3,1,5]
[3,1,10,9,2,4,5,6,7,8] => [1,2,1,6]
[2,9,10,1,3,4,5,6,7,8] => [3,7]
[1,10,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1,1]
[9,8,7,5,6,4,3,2,1,10] => [1,1,1,2,1,1,1,2]
[1,10,9,8,6,7,5,4,3,2] => [2,1,1,2,1,1,1,1]
[10,2,1,3,4,5,6,7,8,9] => [1,1,8]
[3,2,4,5,6,7,8,9,10,1] => [1,8,1]
[2,4,6,8,10,1,3,5,7,9] => [5,5]
[2,4,6,9,10,1,3,5,7,8] => [5,5]
[2,4,7,8,10,1,3,5,6,9] => [5,5]
[2,4,7,9,10,1,3,5,6,8] => [5,5]
[2,4,8,9,10,1,3,5,6,7] => [5,5]
[2,5,6,8,10,1,3,4,7,9] => [5,5]
[2,5,6,9,10,1,3,4,7,8] => [5,5]
[2,5,7,8,10,1,3,4,6,9] => [5,5]
[2,5,7,9,10,1,3,4,6,8] => [5,5]
[2,5,8,9,10,1,3,4,6,7] => [5,5]
[2,6,7,8,10,1,3,4,5,9] => [5,5]
[2,6,7,9,10,1,3,4,5,8] => [5,5]
[2,6,8,9,10,1,3,4,5,7] => [5,5]
[2,7,8,9,10,1,3,4,5,6] => [5,5]
[3,4,6,8,10,1,2,5,7,9] => [5,5]
[3,4,6,9,10,1,2,5,7,8] => [5,5]
[3,4,7,8,10,1,2,5,6,9] => [5,5]
[3,4,7,9,10,1,2,5,6,8] => [5,5]
[3,4,8,9,10,1,2,5,6,7] => [5,5]
[3,5,6,8,10,1,2,4,7,9] => [5,5]
[3,5,6,9,10,1,2,4,7,8] => [5,5]
[3,5,7,8,10,1,2,4,6,9] => [5,5]
[3,5,7,9,10,1,2,4,6,8] => [5,5]
[3,5,8,9,10,1,2,4,6,7] => [5,5]
[3,6,7,8,10,1,2,4,5,9] => [5,5]
[3,6,7,9,10,1,2,4,5,8] => [5,5]
[3,6,8,9,10,1,2,4,5,7] => [5,5]
[3,7,8,9,10,1,2,4,5,6] => [5,5]
[4,5,6,8,10,1,2,3,7,9] => [5,5]
[4,5,6,9,10,1,2,3,7,8] => [5,5]
[4,5,7,8,10,1,2,3,6,9] => [5,5]
[4,5,7,9,10,1,2,3,6,8] => [5,5]
[4,5,8,9,10,1,2,3,6,7] => [5,5]
[4,6,7,8,10,1,2,3,5,9] => [5,5]
[4,6,7,9,10,1,2,3,5,8] => [5,5]
[4,6,8,9,10,1,2,3,5,7] => [5,5]
[4,7,8,9,10,1,2,3,5,6] => [5,5]
[5,6,7,8,10,1,2,3,4,9] => [5,5]
[5,6,7,9,10,1,2,3,4,8] => [5,5]
[5,6,8,9,10,1,2,3,4,7] => [5,5]
[5,7,8,9,10,1,2,3,4,6] => [5,5]
[3,1,4,5,6,7,8,9,10,2] => [1,8,1]
[10,3,4,5,6,7,8,1,2,9] => [1,6,3]
[10,1,4,5,6,7,8,9,2,3] => [1,7,2]
[2,10,4,5,6,7,8,1,3,9] => [2,5,3]
[8,3,4,5,6,7,1,10,2,9] => [1,5,2,2]
[3,1,10,5,6,7,8,9,2,4] => [1,2,5,2]
[9,1,4,5,6,7,8,2,10,3] => [1,6,2,1]
[9,10,1,2,3,4,5,6,7,8] => [2,8]
[8,9,10,1,2,3,4,5,6,7] => [3,7]
[10,8,9,1,2,3,4,5,6,7] => [1,2,7]
[10,9,8,1,2,3,4,5,6,7] => [1,1,1,7]
[7,8,9,10,1,2,3,4,5,6] => [4,6]
[10,7,8,9,1,2,3,4,5,6] => [1,3,6]
[9,10,7,8,1,2,3,4,5,6] => [2,2,6]
[10,9,7,8,1,2,3,4,5,6] => [1,1,2,6]
[10,9,8,7,1,2,3,4,5,6] => [1,1,1,1,6]
[10,6,7,8,9,1,2,3,4,5] => [1,4,5]
[9,10,6,7,8,1,2,3,4,5] => [2,3,5]
[10,9,6,7,8,1,2,3,4,5] => [1,1,3,5]
[10,8,9,6,7,1,2,3,4,5] => [1,2,2,5]
[10,9,8,6,7,1,2,3,4,5] => [1,1,1,2,5]
[10,9,8,7,6,1,2,3,4,5] => [1,1,1,1,1,5]
[9,10,5,6,7,8,1,2,3,4] => [2,4,4]
[10,9,5,6,7,8,1,2,3,4] => [1,1,4,4]
[8,9,10,5,6,7,1,2,3,4] => [3,3,4]
[10,9,8,5,6,7,1,2,3,4] => [1,1,1,3,4]
[9,10,7,8,5,6,1,2,3,4] => [2,2,2,4]
[10,9,7,8,5,6,1,2,3,4] => [1,1,2,2,4]
[10,9,8,7,5,6,1,2,3,4] => [1,1,1,1,2,4]
[10,9,8,7,6,5,1,2,3,4] => [1,1,1,1,1,1,4]
[10,7,8,9,4,5,6,1,2,3] => [1,3,3,3]
[9,10,7,8,4,5,6,1,2,3] => [2,2,3,3]
[10,9,7,8,4,5,6,1,2,3] => [1,1,2,3,3]
[10,9,8,7,4,5,6,1,2,3] => [1,1,1,1,3,3]
[10,8,9,6,7,4,5,1,2,3] => [1,2,2,2,3]
[10,9,8,6,7,4,5,1,2,3] => [1,1,1,2,2,3]
[10,9,8,7,6,4,5,1,2,3] => [1,1,1,1,1,2,3]
[10,9,8,7,6,5,4,1,2,3] => [1,1,1,1,1,1,1,3]
[9,10,7,8,5,6,3,4,1,2] => [2,2,2,2,2]
[10,9,7,8,5,6,3,4,1,2] => [1,1,2,2,2,2]
[10,9,8,7,5,6,3,4,1,2] => [1,1,1,1,2,2,2]
[10,9,8,7,6,5,3,4,1,2] => [1,1,1,1,1,1,2,2]
[10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,2]
[8,9,7,6,5,4,3,2,1,10] => [2,1,1,1,1,1,1,2]
[1,9,10,8,7,6,5,4,3,2] => [3,1,1,1,1,1,1,1]
[9,1,2,3,4,5,6,7,8,10] => [1,9]
[1,10,2,3,4,5,6,7,8,9] => [2,8]
[8,9,1,2,3,4,5,6,7,10] => [2,8]
[1,9,10,2,3,4,5,6,7,8] => [3,7]
[2,4,1,3,6,5,8,7,10,9] => [2,3,2,2,1]
[2,4,1,6,3,5,8,7,10,9] => [2,2,3,2,1]
[2,4,1,6,3,8,5,7,10,9] => [2,2,2,3,1]
[2,4,1,6,3,8,5,10,7,9] => [2,2,2,2,2]
[2,4,1,6,3,8,5,9,7,10] => [2,2,2,2,2]
[2,4,1,6,3,7,5,9,8,10] => [2,2,2,2,2]
[2,4,1,5,3,7,6,9,8,10] => [2,2,2,2,2]
[2,3,1,5,4,7,6,9,8,10] => [2,2,2,2,2]
[1,3,2,5,4,7,6,9,8,10] => [2,2,2,2,2]
[3,4,1,2,5,6,7,8,9,10] => [2,8]
[3,2,1,4,5,6,7,8,9,10] => [1,1,8]
[4,5,6,1,2,3,7,8,9,10] => [3,7]
[4,2,5,1,3,6,7,8,9,10] => [1,2,7]
[4,3,2,1,5,6,7,8,9,10] => [1,1,1,7]
[5,6,7,8,1,2,3,4,9,10] => [4,6]
[5,2,6,7,1,3,4,8,9,10] => [1,3,6]
[5,6,3,4,1,2,7,8,9,10] => [2,2,6]
[5,3,2,6,1,4,7,8,9,10] => [1,1,2,6]
[5,4,3,2,1,6,7,8,9,10] => [1,1,1,1,6]
[6,2,7,8,9,1,3,4,5,10] => [1,4,5]
[6,7,3,4,8,1,2,5,9,10] => [2,3,5]
[6,3,2,7,8,1,4,5,9,10] => [1,1,3,5]
[6,4,7,2,5,1,3,8,9,10] => [1,2,2,5]
[6,4,3,2,7,1,5,8,9,10] => [1,1,1,2,5]
[6,5,4,3,2,1,7,8,9,10] => [1,1,1,1,1,5]
[7,8,3,4,9,10,1,2,5,6] => [2,4,4]
[7,8,9,4,5,6,1,2,3,10] => [3,3,4]
[7,4,3,2,8,9,1,5,6,10] => [1,1,1,3,4]
[7,8,5,6,3,4,1,2,9,10] => [2,2,2,4]
[7,5,3,8,2,6,1,4,9,10] => [1,1,2,2,4]
[7,5,4,3,2,8,1,6,9,10] => [1,1,1,1,2,4]
[7,6,5,4,3,2,1,8,9,10] => [1,1,1,1,1,1,4]
[8,5,9,10,2,6,7,1,3,4] => [1,3,3,3]
[8,5,3,9,2,6,10,1,4,7] => [1,1,2,3,3]
[8,6,9,4,7,2,5,1,3,10] => [1,2,2,2,3]
[8,6,4,3,9,2,7,1,5,10] => [1,1,1,2,2,3]
[8,6,5,4,3,2,9,1,7,10] => [1,1,1,1,1,2,3]
[8,7,6,5,4,3,2,1,9,10] => [1,1,1,1,1,1,1,3]
[9,7,5,4,3,10,2,8,1,6] => [1,1,1,1,2,2,2]
[2,3,1,4,5,6,7,8,9,10] => [2,8]
[2,3,4,1,5,6,7,8,9,10] => [3,7]
[2,3,4,5,1,6,7,8,9,10] => [4,6]
[2,3,4,5,6,1,7,8,9,10] => [5,5]
[2,3,4,5,6,7,1,8,9,10] => [6,4]
[2,3,4,5,6,7,8,1,9,10] => [7,3]
[3,4,1,5,6,7,8,9,10,2] => [2,7,1]
[3,4,5,1,6,7,8,9,10,2] => [3,6,1]
[3,4,5,6,1,7,8,9,10,2] => [4,5,1]
[3,4,5,6,7,1,8,9,10,2] => [5,4,1]
[3,4,5,6,7,8,1,9,10,2] => [6,3,1]
[3,4,5,6,7,8,9,1,10,2] => [7,2,1]
[9,8,7,6,5,4,3,1,10,2] => [1,1,1,1,1,1,1,2,1]
[8,10,7,6,5,4,3,2,1,9] => [2,1,1,1,1,1,1,2]
[1,8,7,6,5,4,3,10,9,2] => [2,1,1,1,1,2,1,1]
[1,10,7,6,5,4,3,2,9,8] => [2,1,1,1,1,1,2,1]
[9,1,7,6,5,4,3,10,8,2] => [1,2,1,1,1,2,1,1]
[3,8,7,6,5,4,10,1,9,2] => [2,1,1,1,2,2,1]
[8,10,1,6,5,4,3,2,9,7] => [2,2,1,1,1,2,1]
[2,10,7,6,5,4,3,9,1,8] => [2,1,1,1,1,2,2]
[8,10,9,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1]
[7,10,9,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1]
[6,10,9,8,7,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1]
[5,10,9,8,7,6,4,3,2,1] => [2,1,1,1,1,1,1,1,1]
[4,10,9,8,7,6,5,3,2,1] => [2,1,1,1,1,1,1,1,1]
[3,10,9,8,7,6,5,4,2,1] => [2,1,1,1,1,1,1,1,1]
[2,10,9,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1,1,1]
[1,2,3,4,5,6,7,10,8,9] => [8,2]
[1,2,3,4,5,6,10,7,8,9] => [7,3]
[1,2,3,4,5,10,6,7,8,9] => [6,4]
[1,2,3,4,10,5,6,7,8,9] => [5,5]
[1,2,3,10,4,5,6,7,8,9] => [4,6]
[1,2,10,3,4,5,6,7,8,9] => [3,7]
[8,7,10,9,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1]
[8,9,10,7,6,5,4,3,2,1] => [3,1,1,1,1,1,1,1]
[7,6,5,10,9,8,4,3,2,1] => [1,1,2,1,1,1,1,1,1]
[7,9,6,10,8,5,4,3,2,1] => [2,2,1,1,1,1,1,1]
[7,8,9,10,6,5,4,3,2,1] => [4,1,1,1,1,1,1]
[6,5,4,3,10,9,8,7,2,1] => [1,1,1,2,1,1,1,1,1]
[6,9,5,4,10,8,7,3,2,1] => [2,1,2,1,1,1,1,1]
[6,5,8,7,10,9,4,3,2,1] => [1,2,2,1,1,1,1,1]
[6,8,9,5,10,7,4,3,2,1] => [3,2,1,1,1,1,1]
[5,4,3,2,1,10,9,8,7,6] => [1,1,1,1,2,1,1,1,1]
[5,9,4,3,2,10,8,7,6,1] => [2,1,1,2,1,1,1,1]
[5,4,8,7,3,10,9,6,2,1] => [1,2,1,2,1,1,1,1]
[5,8,9,4,3,10,7,6,2,1] => [3,1,2,1,1,1,1]
[5,7,4,9,6,10,8,3,2,1] => [2,2,2,1,1,1,1]
[5,6,7,8,9,10,4,3,2,1] => [6,1,1,1,1]
[4,3,8,7,2,1,10,9,6,5] => [1,2,1,1,2,1,1,1]
[4,8,9,3,2,1,10,7,6,5] => [3,1,1,2,1,1,1]
[4,3,2,7,6,5,10,9,8,1] => [1,1,2,1,2,1,1,1]
[4,7,3,9,6,2,10,8,5,1] => [2,2,1,2,1,1,1]
[4,7,8,9,3,2,10,6,5,1] => [4,1,2,1,1,1]
[4,3,6,5,8,7,10,9,2,1] => [1,2,2,2,1,1,1]
[4,6,7,8,9,3,10,5,2,1] => [5,2,1,1,1]
[4,5,6,7,8,9,10,3,2,1] => [7,1,1,1]
[3,6,2,1,9,5,4,10,8,7] => [2,1,2,1,2,1,1]
[3,2,6,5,8,7,1,10,9,4] => [1,2,2,1,2,1,1]
[3,6,8,2,9,5,1,10,7,4] => [3,2,1,2,1,1]
[3,6,7,8,9,2,1,10,5,4] => [5,1,2,1,1]
[3,5,7,8,2,9,4,10,6,1] => [4,2,2,1,1]
[3,5,6,7,8,9,2,10,4,1] => [6,2,1,1]
[3,4,5,6,7,8,9,10,2,1] => [8,1,1]
[2,4,6,1,8,3,9,5,10,7] => [3,2,2,2,1]
[2,4,6,7,8,1,9,3,10,5] => [5,2,2,1]
[2,4,5,6,7,8,9,1,10,3] => [7,2,1]
[7,8,10,9,5,6,3,4,1,2] => [3,1,2,2,2]
[9,10,5,6,8,7,3,4,1,2] => [2,3,1,2,2]
[5,8,10,6,9,7,3,4,1,2] => [3,2,1,2,2]
[5,6,7,10,9,8,3,4,1,2] => [4,1,1,2,2]
[9,10,7,8,3,4,6,5,1,2] => [2,2,3,1,2]
[7,8,10,9,3,4,6,5,1,2] => [3,1,3,1,2]
[9,10,3,6,8,4,7,5,1,2] => [2,3,2,1,2]
[3,8,10,6,9,4,7,5,1,2] => [3,2,2,1,2]
[3,6,7,10,9,4,8,5,1,2] => [4,1,2,1,2]
[9,10,3,4,5,8,7,6,1,2] => [2,4,1,1,2]
[3,8,10,4,5,9,7,6,1,2] => [3,3,1,1,2]
[3,4,7,10,5,9,8,6,1,2] => [4,2,1,1,2]
[3,4,5,6,10,9,8,7,1,2] => [5,1,1,1,2]
[9,10,7,8,5,6,1,2,4,3] => [2,2,2,3,1]
[7,8,10,9,5,6,1,2,4,3] => [3,1,2,3,1]
[9,10,5,6,8,7,1,2,4,3] => [2,3,1,3,1]
[5,8,10,6,9,7,1,2,4,3] => [3,2,1,3,1]
[5,6,7,10,9,8,1,2,4,3] => [4,1,1,3,1]
[9,10,7,8,1,4,6,2,5,3] => [2,2,3,2,1]
[7,8,10,9,1,4,6,2,5,3] => [3,1,3,2,1]
[9,10,1,6,8,4,7,2,5,3] => [2,3,2,2,1]
[1,8,10,6,9,4,7,2,5,3] => [3,2,2,2,1]
[1,6,7,10,9,4,8,2,5,3] => [4,1,2,2,1]
[9,10,1,4,5,8,7,2,6,3] => [2,4,1,2,1]
[1,8,10,4,5,9,7,2,6,3] => [3,3,1,2,1]
[1,4,7,10,5,9,8,2,6,3] => [4,2,1,2,1]
[1,4,5,6,10,9,8,2,7,3] => [5,1,1,2,1]
[9,10,7,8,1,2,3,6,5,4] => [2,2,4,1,1]
[7,8,10,9,1,2,3,6,5,4] => [3,1,4,1,1]
[9,10,1,6,8,2,3,7,5,4] => [2,3,3,1,1]
[1,8,10,6,9,2,3,7,5,4] => [3,2,3,1,1]
[1,6,7,10,9,2,3,8,5,4] => [4,1,3,1,1]
[9,10,1,2,5,8,3,7,6,4] => [2,4,2,1,1]
[1,8,10,2,5,9,3,7,6,4] => [3,3,2,1,1]
[1,2,7,10,5,9,3,8,6,4] => [4,2,2,1,1]
[1,2,5,6,10,9,3,8,7,4] => [5,1,2,1,1]
[9,10,1,2,3,4,8,7,6,5] => [2,5,1,1,1]
[1,8,10,2,3,4,9,7,6,5] => [3,4,1,1,1]
[1,2,7,10,3,4,9,8,6,5] => [4,3,1,1,1]
[1,2,3,6,10,4,9,8,7,5] => [5,2,1,1,1]
[1,2,3,4,5,10,9,8,7,6] => [6,1,1,1,1]
[4,3,2,1,7,6,5,9,8,10] => [1,1,1,2,1,2,2]
[7,3,2,1,6,5,4,9,8,10] => [1,1,1,2,1,2,2]
[4,3,2,1,9,6,5,8,7,10] => [1,1,1,2,1,2,2]
[6,3,2,1,9,5,4,8,7,10] => [1,1,1,2,1,2,2]
[9,3,2,1,8,5,4,7,6,10] => [1,1,1,2,1,2,2]
[6,5,2,1,9,4,3,8,7,10] => [1,1,1,2,1,2,2]
[9,5,2,1,8,4,3,7,6,10] => [1,1,1,2,1,2,2]
[4,3,2,1,7,6,5,10,8,9] => [1,1,1,2,1,2,2]
[7,3,2,1,6,5,4,10,8,9] => [1,1,1,2,1,2,2]
[4,3,2,1,8,6,5,10,7,9] => [1,1,1,2,1,2,2]
[6,3,2,1,8,5,4,10,7,9] => [1,1,1,2,1,2,2]
[8,3,2,1,7,5,4,10,6,9] => [1,1,1,2,1,2,2]
[6,5,2,1,8,4,3,10,7,9] => [1,1,1,2,1,2,2]
[8,5,2,1,7,4,3,10,6,9] => [1,1,1,2,1,2,2]
[4,3,2,1,10,6,5,9,7,8] => [1,1,1,2,1,2,2]
[6,3,2,1,10,5,4,9,7,8] => [1,1,1,2,1,2,2]
[7,3,2,1,10,5,4,9,6,8] => [1,1,1,2,1,2,2]
[10,3,2,1,9,5,4,8,6,7] => [1,1,1,2,1,2,2]
[6,5,2,1,10,4,3,9,7,8] => [1,1,1,2,1,2,2]
[7,5,2,1,10,4,3,9,6,8] => [1,1,1,2,1,2,2]
[10,5,2,1,9,4,3,8,6,7] => [1,1,1,2,1,2,2]
[4,3,2,1,8,7,5,10,6,9] => [1,1,1,2,1,2,2]
[5,3,2,1,8,7,4,10,6,9] => [1,1,1,2,1,2,2]
[8,3,2,1,7,6,4,10,5,9] => [1,1,1,2,1,2,2]
[5,4,2,1,8,7,3,10,6,9] => [1,1,1,2,1,2,2]
[8,4,2,1,7,6,3,10,5,9] => [1,1,1,2,1,2,2]
[4,3,2,1,10,7,5,9,6,8] => [1,1,1,2,1,2,2]
[5,3,2,1,10,7,4,9,6,8] => [1,1,1,2,1,2,2]
[7,3,2,1,10,6,4,9,5,8] => [1,1,1,2,1,2,2]
[10,3,2,1,9,6,4,8,5,7] => [1,1,1,2,1,2,2]
[5,4,2,1,10,7,3,9,6,8] => [1,1,1,2,1,2,2]
[7,4,2,1,10,6,3,9,5,8] => [1,1,1,2,1,2,2]
[10,4,2,1,9,6,3,8,5,7] => [1,1,1,2,1,2,2]
[7,6,2,1,10,5,3,9,4,8] => [1,1,1,2,1,2,2]
[10,6,2,1,9,5,3,8,4,7] => [1,1,1,2,1,2,2]
[5,4,3,1,8,7,2,10,6,9] => [1,1,1,2,1,2,2]
[8,4,3,1,7,6,2,10,5,9] => [1,1,1,2,1,2,2]
[5,4,3,1,10,7,2,9,6,8] => [1,1,1,2,1,2,2]
[7,4,3,1,10,6,2,9,5,8] => [1,1,1,2,1,2,2]
[10,4,3,1,9,6,2,8,5,7] => [1,1,1,2,1,2,2]
[7,6,3,1,10,5,2,9,4,8] => [1,1,1,2,1,2,2]
[10,6,3,1,9,5,2,8,4,7] => [1,1,1,2,1,2,2]
[2,1,4,3,6,5,10,9,7,8] => [1,2,2,2,1,2]
[2,1,4,3,8,7,5,6,10,9] => [1,2,2,1,3,1]
[2,1,4,3,10,7,5,9,6,8] => [1,2,2,1,2,2]
[2,1,4,3,10,9,8,5,6,7] => [1,2,2,1,1,3]
[2,1,6,5,3,4,8,7,10,9] => [1,2,1,3,2,1]
[2,1,6,5,3,4,10,9,7,8] => [1,2,1,3,1,2]
[2,1,8,5,3,7,4,6,10,9] => [1,2,1,2,3,1]
[2,1,10,5,3,7,4,9,6,8] => [1,2,1,2,2,2]
[2,1,10,5,3,9,8,4,6,7] => [1,2,1,2,1,3]
[2,1,8,7,6,3,4,5,10,9] => [1,2,1,1,4,1]
[2,1,10,7,6,3,4,9,5,8] => [1,2,1,1,3,2]
[2,1,10,9,6,3,8,4,5,7] => [1,2,1,1,2,3]
[2,1,10,9,8,7,3,4,5,6] => [1,2,1,1,1,4]
[4,3,1,2,6,5,8,7,10,9] => [1,1,3,2,2,1]
[4,3,1,2,6,5,10,9,7,8] => [1,1,3,2,1,2]
[4,3,1,2,8,7,5,6,10,9] => [1,1,3,1,3,1]
[4,3,1,2,10,7,5,9,6,8] => [1,1,3,1,2,2]
[4,3,1,2,10,9,8,5,6,7] => [1,1,3,1,1,3]
[6,3,1,5,2,4,8,7,10,9] => [1,1,2,3,2,1]
[6,3,1,5,2,4,10,9,7,8] => [1,1,2,3,1,2]
[8,3,1,5,2,7,4,6,10,9] => [1,1,2,2,3,1]
[10,3,1,5,2,7,4,9,6,8] => [1,1,2,2,2,2]
[10,3,1,5,2,9,8,4,6,7] => [1,1,2,2,1,3]
[8,3,1,7,6,2,4,5,10,9] => [1,1,2,1,4,1]
[10,3,1,7,6,2,4,9,5,8] => [1,1,2,1,3,2]
[10,3,1,9,6,2,8,4,5,7] => [1,1,2,1,2,3]
[10,3,1,9,8,7,2,4,5,6] => [1,1,2,1,1,4]
[6,5,4,1,2,3,8,7,10,9] => [1,1,1,4,2,1]
[6,5,4,1,2,3,10,9,7,8] => [1,1,1,4,1,2]
[8,5,4,1,2,7,3,6,10,9] => [1,1,1,3,3,1]
[10,5,4,1,2,7,3,9,6,8] => [1,1,1,3,2,2]
[10,5,4,1,2,9,8,3,6,7] => [1,1,1,3,1,3]
[8,7,4,1,6,2,3,5,10,9] => [1,1,1,2,4,1]
[10,7,4,1,6,2,3,9,5,8] => [1,1,1,2,3,2]
[10,9,4,1,6,2,8,3,5,7] => [1,1,1,2,2,3]
[10,9,4,1,8,7,2,3,5,6] => [1,1,1,2,1,4]
[8,7,6,5,1,2,3,4,10,9] => [1,1,1,1,5,1]
[10,7,6,5,1,2,3,9,4,8] => [1,1,1,1,4,2]
[10,9,6,5,1,2,8,3,4,7] => [1,1,1,1,3,3]
[10,9,8,5,1,7,2,3,4,6] => [1,1,1,1,2,4]
[8,7,6,5,4,3,2,10,1,9] => [1,1,1,1,1,1,2,2]
[7,6,5,4,3,10,2,9,1,8] => [1,1,1,1,2,2,2]
[7,6,5,4,3,2,9,1,8,10] => [1,1,1,1,1,2,3]
[6,5,4,10,3,9,2,8,1,7] => [1,1,2,2,2,2]
[6,5,4,3,9,2,8,1,7,10] => [1,1,1,2,2,3]
[6,5,4,3,2,8,10,1,7,9] => [1,1,1,1,3,3]
[6,5,4,3,2,8,1,7,9,10] => [1,1,1,1,2,4]
[5,10,4,9,3,8,2,7,1,6] => [2,2,2,2,2]
[5,4,9,3,8,2,7,1,6,10] => [1,2,2,2,3]
[5,4,3,8,2,7,10,1,6,9] => [1,1,2,3,3]
[5,4,3,8,2,7,1,6,9,10] => [1,1,2,2,4]
[5,4,3,2,7,9,1,6,8,10] => [1,1,1,3,4]
[5,4,3,2,7,1,6,8,9,10] => [1,1,1,2,5]
[4,8,3,7,2,6,10,1,5,9] => [2,2,3,3]
[4,8,3,7,2,6,1,5,9,10] => [2,2,2,4]
[4,3,7,10,2,6,9,1,5,8] => [1,3,3,3]
[4,3,7,2,6,9,1,5,8,10] => [1,2,3,4]
[4,3,7,2,6,1,5,8,9,10] => [1,2,2,5]
[4,3,2,6,8,10,1,5,7,9] => [1,1,4,4]
[4,3,2,6,8,1,5,7,9,10] => [1,1,3,5]
[4,3,2,6,1,5,7,8,9,10] => [1,1,2,6]
[3,6,9,2,5,8,1,4,7,10] => [3,3,4]
[3,6,2,5,8,10,1,4,7,9] => [2,4,4]
[3,6,2,5,8,1,4,7,9,10] => [2,3,5]
[3,6,2,5,1,4,7,8,9,10] => [2,2,6]
[3,2,5,7,9,1,4,6,8,10] => [1,4,5]
[3,2,5,7,1,4,6,8,9,10] => [1,3,6]
[3,2,5,1,4,6,7,8,9,10] => [1,2,7]
[2,4,6,8,1,3,5,7,9,10] => [4,6]
[2,4,6,1,3,5,7,8,9,10] => [3,7]
[2,4,1,3,5,6,7,8,9,10] => [2,8]
[9,8,7,6,5,4,2,1,10,3] => [1,1,1,1,1,1,1,2,1]
[9,8,7,6,5,3,2,1,10,4] => [1,1,1,1,1,1,1,2,1]
[9,8,7,6,4,3,2,1,10,5] => [1,1,1,1,1,1,1,2,1]
[9,8,7,5,4,3,2,1,10,6] => [1,1,1,1,1,1,1,2,1]
[9,8,6,5,4,3,2,1,10,7] => [1,1,1,1,1,1,1,2,1]
[9,7,6,5,4,3,2,1,10,8] => [1,1,1,1,1,1,1,2,1]
[7,8,9,10,4,5,6,2,3,1] => [4,3,2,1]
[7,8,9,4,5,6,10,2,3,1] => [3,4,2,1]
[7,8,9,10,4,5,2,3,6,1] => [4,2,3,1]
[7,8,9,4,5,10,2,3,6,1] => [3,3,3,1]
[7,8,9,4,5,2,3,6,10,1] => [3,2,4,1]
[7,8,4,5,9,10,2,3,6,1] => [2,4,3,1]
[7,8,4,5,9,2,3,6,10,1] => [2,3,4,1]
[7,8,9,10,4,5,6,2,1,3] => [4,3,1,2]
[7,8,9,4,5,6,10,2,1,3] => [3,4,1,2]
[7,8,9,10,4,5,2,6,1,3] => [4,2,2,2]
[7,8,9,4,5,10,2,6,1,3] => [3,3,2,2]
[7,8,9,4,5,2,6,10,1,3] => [3,2,3,2]
[7,8,4,5,9,10,2,6,1,3] => [2,4,2,2]
[7,8,4,5,9,2,6,10,1,3] => [2,3,3,2]
[7,8,9,10,4,5,2,1,3,6] => [4,2,1,3]
[7,8,9,4,5,10,2,1,3,6] => [3,3,1,3]
[7,8,9,4,5,2,10,1,3,6] => [3,2,2,3]
[7,8,9,4,5,2,1,3,6,10] => [3,2,1,4]
[7,8,4,5,9,10,2,1,3,6] => [2,4,1,3]
[7,8,4,5,9,2,10,1,3,6] => [2,3,2,3]
[7,8,4,5,9,2,1,3,6,10] => [2,3,1,4]
[7,8,9,10,4,2,5,6,1,3] => [4,1,3,2]
[7,8,9,4,10,2,5,6,1,3] => [3,2,3,2]
[7,8,9,4,2,5,6,10,1,3] => [3,1,4,2]
[7,8,4,9,10,2,5,6,1,3] => [2,3,3,2]
[7,8,4,9,2,5,6,10,1,3] => [2,2,4,2]
[7,8,9,10,4,2,5,1,3,6] => [4,1,2,3]
[7,8,9,4,10,2,5,1,3,6] => [3,2,2,3]
[7,8,9,4,2,5,10,1,3,6] => [3,1,3,3]
[7,8,9,4,2,5,1,3,6,10] => [3,1,2,4]
[7,8,4,9,10,2,5,1,3,6] => [2,3,2,3]
[7,8,4,9,2,5,10,1,3,6] => [2,2,3,3]
[7,8,4,9,2,5,1,3,6,10] => [2,2,2,4]
[7,8,4,2,5,9,10,1,3,6] => [2,1,4,3]
[7,8,4,2,5,9,1,3,6,10] => [2,1,3,4]
[7,4,8,9,10,2,5,6,1,3] => [1,4,3,2]
[7,4,8,9,2,5,6,10,1,3] => [1,3,4,2]
[7,4,8,9,10,2,5,1,3,6] => [1,4,2,3]
[7,4,8,9,2,5,10,1,3,6] => [1,3,3,3]
[7,4,8,9,2,5,1,3,6,10] => [1,3,2,4]
[7,4,8,2,5,9,10,1,3,6] => [1,2,4,3]
[8,10,7,9,5,6,3,4,1,2] => [2,2,2,2,2]
[9,10,6,8,5,7,3,4,1,2] => [2,2,2,2,2]
[8,10,6,9,5,7,3,4,1,2] => [2,2,2,2,2]
[7,10,6,9,5,8,3,4,1,2] => [2,2,2,2,2]
[9,10,7,8,4,6,3,5,1,2] => [2,2,2,2,2]
[8,10,7,9,4,6,3,5,1,2] => [2,2,2,2,2]
[9,10,6,8,4,7,3,5,1,2] => [2,2,2,2,2]
[8,10,6,9,4,7,3,5,1,2] => [2,2,2,2,2]
[7,10,6,9,4,8,3,5,1,2] => [2,2,2,2,2]
[9,10,5,8,4,7,3,6,1,2] => [2,2,2,2,2]
[8,10,5,9,4,7,3,6,1,2] => [2,2,2,2,2]
[7,10,5,9,4,8,3,6,1,2] => [2,2,2,2,2]
[6,10,5,9,4,8,3,7,1,2] => [2,2,2,2,2]
[9,10,7,8,5,6,2,4,1,3] => [2,2,2,2,2]
[8,10,7,9,5,6,2,4,1,3] => [2,2,2,2,2]
[9,10,6,8,5,7,2,4,1,3] => [2,2,2,2,2]
[8,10,6,9,5,7,2,4,1,3] => [2,2,2,2,2]
[7,10,6,9,5,8,2,4,1,3] => [2,2,2,2,2]
[9,10,7,8,4,6,2,5,1,3] => [2,2,2,2,2]
[8,10,7,9,4,6,2,5,1,3] => [2,2,2,2,2]
[9,10,6,8,4,7,2,5,1,3] => [2,2,2,2,2]
[8,10,6,9,4,7,2,5,1,3] => [2,2,2,2,2]
[7,10,6,9,4,8,2,5,1,3] => [2,2,2,2,2]
[9,10,5,8,4,7,2,6,1,3] => [2,2,2,2,2]
[8,10,5,9,4,7,2,6,1,3] => [2,2,2,2,2]
[7,10,5,9,4,8,2,6,1,3] => [2,2,2,2,2]
[6,10,5,9,4,8,2,7,1,3] => [2,2,2,2,2]
[9,10,7,8,3,6,2,5,1,4] => [2,2,2,2,2]
[8,10,7,9,3,6,2,5,1,4] => [2,2,2,2,2]
[9,10,6,8,3,7,2,5,1,4] => [2,2,2,2,2]
[8,10,6,9,3,7,2,5,1,4] => [2,2,2,2,2]
[7,10,6,9,3,8,2,5,1,4] => [2,2,2,2,2]
[9,10,5,8,3,7,2,6,1,4] => [2,2,2,2,2]
[8,10,5,9,3,7,2,6,1,4] => [2,2,2,2,2]
[7,10,5,9,3,8,2,6,1,4] => [2,2,2,2,2]
[6,10,5,9,3,8,2,7,1,4] => [2,2,2,2,2]
[9,10,4,8,3,7,2,6,1,5] => [2,2,2,2,2]
[8,10,4,9,3,7,2,6,1,5] => [2,2,2,2,2]
[7,10,4,9,3,8,2,6,1,5] => [2,2,2,2,2]
[6,10,4,9,3,8,2,7,1,5] => [2,2,2,2,2]
[3,4,5,6,7,8,9,1,2,10] => [7,3]
[1,4,5,6,7,8,9,10,2,3] => [8,2]
[9,10,7,8,5,6,3,1,4,2] => [2,2,2,1,2,1]
[9,10,7,8,5,3,6,1,4,2] => [2,2,1,2,2,1]
[9,10,7,5,8,3,6,1,4,2] => [2,1,2,2,2,1]
[9,7,10,5,8,3,6,1,4,2] => [1,2,2,2,2,1]
[10,7,9,5,8,3,6,1,4,2] => [1,2,2,2,2,1]
[10,8,9,5,7,3,6,1,4,2] => [1,2,2,2,2,1]
[10,8,9,6,7,3,5,1,4,2] => [1,2,2,2,2,1]
[10,8,9,6,7,4,5,1,3,2] => [1,2,2,2,2,1]
[7,6,5,4,3,2,1,10,9,8] => [1,1,1,1,1,1,2,1,1]
[7,6,5,4,3,2,1,9,8,10] => [1,1,1,1,1,1,2,2]
[6,5,4,3,2,1,9,8,7,10] => [1,1,1,1,1,2,1,2]
[6,5,4,3,2,1,8,7,9,10] => [1,1,1,1,1,2,3]
[5,4,3,2,1,9,8,7,6,10] => [1,1,1,1,2,1,1,2]
[5,4,3,2,1,8,7,6,10,9] => [1,1,1,1,2,1,2,1]
[5,4,3,2,1,8,7,6,9,10] => [1,1,1,1,2,1,3]
[5,4,3,2,1,7,6,9,8,10] => [1,1,1,1,2,2,2]
[5,4,3,2,1,7,6,8,9,10] => [1,1,1,1,2,4]
[4,3,2,1,8,7,6,5,9,10] => [1,1,1,2,1,1,3]
[4,3,2,1,7,6,5,10,9,8] => [1,1,1,2,1,2,1,1]
[4,3,2,1,7,6,5,8,9,10] => [1,1,1,2,1,4]
[4,3,2,1,6,5,8,7,9,10] => [1,1,1,2,2,3]
[4,3,2,1,6,5,7,8,9,10] => [1,1,1,2,5]
[3,2,1,6,5,4,9,8,7,10] => [1,1,2,1,2,1,2]
[3,2,1,6,5,4,8,7,10,9] => [1,1,2,1,2,2,1]
[3,2,1,6,5,4,8,7,9,10] => [1,1,2,1,2,3]
[3,2,1,6,5,4,7,8,9,10] => [1,1,2,1,5]
[3,2,1,5,4,7,6,9,8,10] => [1,1,2,2,2,2]
[3,2,1,5,4,7,6,8,9,10] => [1,1,2,2,4]
[3,2,1,5,4,6,7,8,9,10] => [1,1,2,6]
[2,1,4,3,6,5,8,7,9,10] => [1,2,2,2,3]
[2,1,4,3,6,5,7,8,9,10] => [1,2,2,5]
[2,1,4,3,5,6,7,8,9,10] => [1,2,7]
[3,1,4,2,6,5,8,7,10,9] => [1,2,2,2,2,1]
[3,1,5,2,6,4,8,7,10,9] => [1,2,2,2,2,1]
[3,1,5,2,7,4,8,6,10,9] => [1,2,2,2,2,1]
[3,1,5,2,7,4,9,6,10,8] => [1,2,2,2,2,1]
[3,1,5,2,7,4,9,6,8,10] => [1,2,2,2,3]
[3,1,5,2,7,4,6,9,8,10] => [1,2,2,3,2]
[3,1,5,2,4,7,6,9,8,10] => [1,2,3,2,2]
[3,1,2,5,4,7,6,9,8,10] => [1,3,2,2,2]
[4,5,6,7,8,9,10,1,2,3] => [7,3]
[4,5,6,7,8,9,10,2,3,1] => [7,2,1]
[5,6,7,8,9,10,1,2,3,4] => [6,4]
[5,6,7,8,9,10,2,3,4,1] => [6,3,1]
[5,6,7,8,9,10,3,4,1,2] => [6,2,2]
[5,6,7,8,9,10,3,4,2,1] => [6,2,1,1]
[7,8,9,10,3,4,5,6,1,2] => [4,4,2]
[7,8,9,10,3,4,5,6,2,1] => [4,4,1,1]
[7,8,9,10,4,5,6,1,2,3] => [4,3,3]
[7,8,9,10,4,5,6,3,2,1] => [4,3,1,1,1]
[7,8,9,10,5,6,3,4,1,2] => [4,2,2,2]
[7,8,9,10,5,6,3,4,2,1] => [4,2,2,1,1]
[7,8,9,10,5,6,4,3,2,1] => [4,2,1,1,1,1]
[8,9,10,5,6,7,2,3,4,1] => [3,3,3,1]
[8,9,10,5,6,7,3,4,1,2] => [3,3,2,2]
[8,9,10,5,6,7,3,4,2,1] => [3,3,2,1,1]
[8,9,10,5,6,7,4,3,2,1] => [3,3,1,1,1,1]
[8,9,10,6,7,4,5,2,3,1] => [3,2,2,2,1]
[8,9,10,6,7,4,5,3,2,1] => [3,2,2,1,1,1]
[8,9,10,6,7,5,4,3,2,1] => [3,2,1,1,1,1,1]
[9,10,7,8,5,6,3,4,2,1] => [2,2,2,2,1,1]
[9,10,7,8,5,6,4,3,2,1] => [2,2,2,1,1,1,1]
[9,10,7,8,6,5,4,3,2,1] => [2,2,1,1,1,1,1,1]
[9,7,5,3,1,10,8,6,4,2] => [1,1,1,1,2,1,1,1,1]
[8,7,5,3,1,10,9,6,4,2] => [1,1,1,1,2,1,1,1,1]
[9,6,5,3,1,10,8,7,4,2] => [1,1,1,1,2,1,1,1,1]
[8,6,5,3,1,10,9,7,4,2] => [1,1,1,1,2,1,1,1,1]
[7,6,5,3,1,10,9,8,4,2] => [1,1,1,1,2,1,1,1,1]
[9,7,4,3,1,10,8,6,5,2] => [1,1,1,1,2,1,1,1,1]
[8,7,4,3,1,10,9,6,5,2] => [1,1,1,1,2,1,1,1,1]
[9,6,4,3,1,10,8,7,5,2] => [1,1,1,1,2,1,1,1,1]
[8,6,4,3,1,10,9,7,5,2] => [1,1,1,1,2,1,1,1,1]
[7,6,4,3,1,10,9,8,5,2] => [1,1,1,1,2,1,1,1,1]
[9,5,4,3,1,10,8,7,6,2] => [1,1,1,1,2,1,1,1,1]
[8,5,4,3,1,10,9,7,6,2] => [1,1,1,1,2,1,1,1,1]
[7,5,4,3,1,10,9,8,6,2] => [1,1,1,1,2,1,1,1,1]
[6,5,4,3,1,10,9,8,7,2] => [1,1,1,1,2,1,1,1,1]
[9,7,5,2,1,10,8,6,4,3] => [1,1,1,1,2,1,1,1,1]
[8,7,5,2,1,10,9,6,4,3] => [1,1,1,1,2,1,1,1,1]
[9,6,5,2,1,10,8,7,4,3] => [1,1,1,1,2,1,1,1,1]
[8,6,5,2,1,10,9,7,4,3] => [1,1,1,1,2,1,1,1,1]
[7,6,5,2,1,10,9,8,4,3] => [1,1,1,1,2,1,1,1,1]
[9,7,4,2,1,10,8,6,5,3] => [1,1,1,1,2,1,1,1,1]
[8,7,4,2,1,10,9,6,5,3] => [1,1,1,1,2,1,1,1,1]
[9,6,4,2,1,10,8,7,5,3] => [1,1,1,1,2,1,1,1,1]
[8,6,4,2,1,10,9,7,5,3] => [1,1,1,1,2,1,1,1,1]
[7,6,4,2,1,10,9,8,5,3] => [1,1,1,1,2,1,1,1,1]
[9,5,4,2,1,10,8,7,6,3] => [1,1,1,1,2,1,1,1,1]
[8,5,4,2,1,10,9,7,6,3] => [1,1,1,1,2,1,1,1,1]
[7,5,4,2,1,10,9,8,6,3] => [1,1,1,1,2,1,1,1,1]
[6,5,4,2,1,10,9,8,7,3] => [1,1,1,1,2,1,1,1,1]
[9,7,3,2,1,10,8,6,5,4] => [1,1,1,1,2,1,1,1,1]
[8,7,3,2,1,10,9,6,5,4] => [1,1,1,1,2,1,1,1,1]
[9,6,3,2,1,10,8,7,5,4] => [1,1,1,1,2,1,1,1,1]
[8,6,3,2,1,10,9,7,5,4] => [1,1,1,1,2,1,1,1,1]
[7,6,3,2,1,10,9,8,5,4] => [1,1,1,1,2,1,1,1,1]
[9,5,3,2,1,10,8,7,6,4] => [1,1,1,1,2,1,1,1,1]
[8,5,3,2,1,10,9,7,6,4] => [1,1,1,1,2,1,1,1,1]
[7,5,3,2,1,10,9,8,6,4] => [1,1,1,1,2,1,1,1,1]
[6,5,3,2,1,10,9,8,7,4] => [1,1,1,1,2,1,1,1,1]
[9,4,3,2,1,10,8,7,6,5] => [1,1,1,1,2,1,1,1,1]
[8,4,3,2,1,10,9,7,6,5] => [1,1,1,1,2,1,1,1,1]
[7,4,3,2,1,10,9,8,6,5] => [1,1,1,1,2,1,1,1,1]
[6,4,3,2,1,10,9,8,7,5] => [1,1,1,1,2,1,1,1,1]
[6,1,7,2,8,3,9,4,10,5] => [1,2,2,2,2,1]
[6,1,7,2,8,3,9,10,4,5] => [1,2,2,3,2]
[6,1,7,2,8,9,3,4,10,5] => [1,2,3,3,1]
[6,1,7,2,8,9,3,10,4,5] => [1,2,3,2,2]
[6,1,7,2,8,9,10,3,4,5] => [1,2,4,3]
[6,1,7,8,2,3,9,4,10,5] => [1,3,3,2,1]
[6,1,7,8,2,3,9,10,4,5] => [1,3,4,2]
[6,1,7,8,2,9,3,4,10,5] => [1,3,2,3,1]
[6,1,7,8,2,9,3,10,4,5] => [1,3,2,2,2]
[6,1,7,8,2,9,10,3,4,5] => [1,3,3,3]
[6,1,7,8,9,2,3,4,10,5] => [1,4,4,1]
[6,1,7,8,9,2,3,10,4,5] => [1,4,3,2]
[6,1,7,8,9,2,10,3,4,5] => [1,4,2,3]
[6,1,7,8,9,10,2,3,4,5] => [1,5,4]
[6,7,1,2,8,3,9,4,10,5] => [2,3,2,2,1]
[6,7,1,2,8,3,9,10,4,5] => [2,3,3,2]
[6,7,1,2,8,9,3,4,10,5] => [2,4,3,1]
[6,7,1,2,8,9,3,10,4,5] => [2,4,2,2]
[6,7,1,2,8,9,10,3,4,5] => [2,5,3]
[6,7,1,8,2,3,9,4,10,5] => [2,2,3,2,1]
[6,7,1,8,2,3,9,10,4,5] => [2,2,4,2]
[6,7,1,8,2,9,3,4,10,5] => [2,2,2,3,1]
[6,7,1,8,2,9,3,10,4,5] => [2,2,2,2,2]
[6,7,1,8,2,9,10,3,4,5] => [2,2,3,3]
[6,7,1,8,9,2,3,4,10,5] => [2,3,4,1]
[6,7,1,8,9,2,3,10,4,5] => [2,3,3,2]
[6,7,1,8,9,2,10,3,4,5] => [2,3,2,3]
[6,7,1,8,9,10,2,3,4,5] => [2,4,4]
[6,7,8,1,2,3,9,4,10,5] => [3,4,2,1]
[6,7,8,1,2,3,9,10,4,5] => [3,5,2]
[6,7,8,1,2,9,3,4,10,5] => [3,3,3,1]
[6,7,8,1,2,9,3,10,4,5] => [3,3,2,2]
[6,7,8,1,2,9,10,3,4,5] => [3,4,3]
[6,7,8,1,9,2,3,4,10,5] => [3,2,4,1]
[6,7,8,1,9,2,3,10,4,5] => [3,2,3,2]
[6,7,8,1,9,2,10,3,4,5] => [3,2,2,3]
[6,7,8,1,9,10,2,3,4,5] => [3,3,4]
[6,7,8,9,1,2,3,4,10,5] => [4,5,1]
[6,7,8,9,1,2,3,10,4,5] => [4,4,2]
[6,7,8,9,1,2,10,3,4,5] => [4,3,3]
[6,7,8,9,1,10,2,3,4,5] => [4,2,4]
[10,9,8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,1,2]
[10,9,8,7,6,5,3,2,1,4] => [1,1,1,1,1,1,1,1,2]
[10,9,8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,1,2]
[10,9,8,7,5,4,3,2,1,6] => [1,1,1,1,1,1,1,1,2]
[10,9,8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,1,1,2]
[10,9,7,6,5,4,3,2,1,8] => [1,1,1,1,1,1,1,1,2]
[10,8,7,6,5,4,3,2,1,9] => [1,1,1,1,1,1,1,1,2]
[10,3,1,2,4,5,6,7,8,9] => [1,1,8]
[10,4,1,2,3,5,6,7,8,9] => [1,1,8]
[5,10,1,2,3,4,6,7,8,9] => [2,8]
[10,6,1,2,3,4,5,7,8,9] => [1,1,8]
[10,7,1,2,3,4,5,6,8,9] => [1,1,8]
[8,10,1,2,3,4,5,6,7,9] => [2,8]
[2,3,10,1,4,5,6,7,8,9] => [3,7]
[4,3,1,10,2,5,6,7,8,9] => [1,1,2,6]
[5,4,1,2,10,3,6,7,8,9] => [1,1,3,5]
[5,6,1,2,3,10,4,7,8,9] => [2,4,4]
[7,6,1,2,3,4,10,5,8,9] => [1,1,5,3]
[8,7,1,2,3,4,5,10,6,9] => [1,1,6,2]
[8,9,1,2,3,4,5,6,10,7] => [2,7,1]
[10,9,8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,2,2]
[10,9,8,7,3,6,2,5,1,4] => [1,1,1,1,2,2,2]
[10,9,8,7,6,3,5,1,2,4] => [1,1,1,1,1,2,3]
[10,9,4,8,3,7,2,6,1,5] => [1,1,2,2,2,2]
[10,9,8,4,7,3,6,1,2,5] => [1,1,1,2,2,3]
[10,9,8,7,2,4,6,1,3,5] => [1,1,1,1,3,3]
[10,9,8,7,4,6,1,2,3,5] => [1,1,1,1,2,4]
[10,5,9,4,8,3,7,1,2,6] => [1,2,2,2,3]
[10,9,5,8,2,4,7,1,3,6] => [1,1,2,3,3]
[10,9,5,8,4,7,1,2,3,6] => [1,1,2,2,4]
[10,9,8,3,5,7,1,2,4,6] => [1,1,1,3,4]
[10,9,8,5,7,1,2,3,4,6] => [1,1,1,2,5]
[6,10,5,9,2,4,8,1,3,7] => [2,2,3,3]
[6,10,5,9,4,8,1,2,3,7] => [2,2,2,4]
[10,3,6,9,2,5,8,1,4,7] => [1,3,3,3]
[10,6,9,3,5,8,1,2,4,7] => [1,2,3,4]
[10,6,9,5,8,1,2,3,4,7] => [1,2,2,5]
[10,9,2,4,6,8,1,3,5,7] => [1,1,4,4]
[10,9,4,6,8,1,2,3,5,7] => [1,1,3,5]
[10,9,6,8,1,2,3,4,5,7] => [1,1,2,6]
[4,7,10,3,6,9,1,2,5,8] => [3,3,4]
[7,10,2,4,6,9,1,3,5,8] => [2,4,4]
[7,10,4,6,9,1,2,3,5,8] => [2,3,5]
[7,10,6,9,1,2,3,4,5,8] => [2,2,6]
[10,3,5,7,9,1,2,4,6,8] => [1,4,5]
[10,5,7,9,1,2,3,4,6,8] => [1,3,6]
[10,7,9,1,2,3,4,5,6,8] => [1,2,7]
[4,6,8,10,1,2,3,5,7,9] => [4,6]
[6,8,10,1,2,3,4,5,7,9] => [3,7]
[10,7,6,5,4,3,2,1,9,8] => [1,1,1,1,1,1,1,2,1]
[8,7,6,5,4,3,2,10,9,1] => [1,1,1,1,1,1,2,1,1]
[10,1,2,3,4,6,5,7,8,9] => [1,5,4]
[2,3,4,5,7,6,8,9,10,1] => [5,4,1]
[9,10,5,6,7,8,3,4,1,2] => [2,4,2,2]
[5,8,9,6,7,10,3,4,1,2] => [3,3,2,2]
[9,10,7,8,3,4,5,6,1,2] => [2,2,4,2]
[9,10,3,6,7,4,5,8,1,2] => [2,3,3,2]
[3,8,9,6,7,4,5,10,1,2] => [3,2,3,2]
[3,6,7,8,9,4,5,10,1,2] => [5,3,2]
[9,10,3,4,5,6,7,8,1,2] => [2,6,2]
[3,8,9,4,5,6,7,10,1,2] => [3,5,2]
[3,4,7,8,5,6,9,10,1,2] => [4,4,2]
[7,8,9,10,5,6,1,2,3,4] => [4,2,4]
[5,8,9,6,7,10,1,2,3,4] => [3,3,4]
[9,10,7,8,1,4,5,2,3,6] => [2,2,3,3]
[7,8,9,10,1,4,5,2,3,6] => [4,3,3]
[9,10,1,6,7,4,5,2,3,8] => [2,3,2,3]
[1,8,9,6,7,4,5,2,3,10] => [3,2,2,3]
[1,6,7,8,9,4,5,2,3,10] => [5,2,3]
[9,10,1,4,5,6,7,2,3,8] => [2,5,3]
[1,8,9,4,5,6,7,2,3,10] => [3,4,3]
[1,4,7,8,5,6,9,2,3,10] => [4,3,3]
[1,4,5,6,7,8,9,2,3,10] => [7,3]
[9,10,1,6,7,2,3,4,5,8] => [2,3,5]
[1,8,9,6,7,2,3,4,5,10] => [3,2,5]
[1,6,7,8,9,2,3,4,5,10] => [5,5]
[9,10,1,2,5,6,3,4,7,8] => [2,4,4]
[1,8,9,2,5,6,3,4,7,10] => [3,3,4]
[1,2,7,8,5,6,3,4,9,10] => [4,2,4]
[1,2,5,6,7,8,3,4,9,10] => [6,4]
[1,8,9,2,3,4,5,6,7,10] => [3,7]
[1,2,7,8,3,4,5,6,9,10] => [4,6]
[1,2,3,6,7,4,5,8,9,10] => [5,5]
[9,8,7,6,4,5,3,2,1,10] => [1,1,1,1,2,1,1,2]
[1,10,9,8,7,5,6,4,3,2] => [2,1,1,1,2,1,1,1]
[8,7,9,6,5,4,3,2,1,10] => [1,2,1,1,1,1,1,2]
[8,7,6,9,5,4,3,2,1,10] => [1,1,2,1,1,1,1,2]
[8,7,6,5,10,4,3,2,1,9] => [1,1,1,2,1,1,1,2]
[8,7,6,5,4,9,3,2,1,10] => [1,1,1,1,2,1,1,2]
[8,7,6,5,4,3,9,2,1,10] => [1,1,1,1,1,2,1,2]
[7,10,9,6,5,4,3,2,1,8] => [2,1,1,1,1,1,1,2]
[8,6,9,10,5,4,3,2,1,7] => [1,3,1,1,1,1,2]
[8,7,5,9,10,4,3,2,1,6] => [1,1,3,1,1,1,2]
[8,7,6,4,10,9,3,2,1,5] => [1,1,1,2,1,1,1,2]
[8,7,6,5,3,9,10,2,1,4] => [1,1,1,1,3,1,2]
[8,7,6,5,4,2,9,10,1,3] => [1,1,1,1,1,3,2]
[8,7,6,5,4,3,1,10,9,2] => [1,1,1,1,1,1,2,1,1]
[2,3,4,5,6,7,9,10,8,1] => [8,1,1]
[2,3,4,5,6,8,9,10,7,1] => [8,1,1]
[2,3,4,6,7,8,9,10,5,1] => [8,1,1]
[2,3,5,6,7,8,9,10,4,1] => [8,1,1]
[2,3,4,5,6,7,10,1,8,9] => [7,3]
[2,3,4,5,6,9,1,10,8,7] => [6,2,1,1]
[2,3,4,5,8,1,9,10,7,6] => [5,3,1,1]
[2,3,4,7,1,8,9,10,5,6] => [4,4,2]
[2,3,6,1,7,8,9,10,5,4] => [3,5,1,1]
[2,5,1,6,7,8,9,10,4,3] => [2,6,1,1]
[4,1,5,6,7,8,9,10,2,3] => [1,7,2]
[2,10,9,8,7,6,5,4,1,3] => [2,1,1,1,1,1,1,2]
[9,1,10,8,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1,1]
[9,1,2,3,4,5,6,10,7,8] => [1,7,2]
[9,1,2,3,4,5,10,6,7,8] => [1,6,3]
[9,1,2,3,10,4,5,6,7,8] => [1,4,5]
[9,1,2,10,3,4,5,6,7,8] => [1,3,6]
[9,2,1,8,7,6,5,4,3,10] => [1,1,2,1,1,1,1,2]
[3,2,9,8,7,6,5,4,1,10] => [1,2,1,1,1,1,1,2]
[9,3,1,8,7,6,5,4,10,2] => [1,1,2,1,1,1,2,1]
[9,2,10,1,7,6,5,4,3,8] => [1,2,2,1,1,1,2]
[4,2,9,8,7,6,5,10,1,3] => [1,2,1,1,1,2,2]
[3,10,2,8,7,6,5,4,1,9] => [2,2,1,1,1,1,2]
[8,9,2,3,4,5,6,7,10,1] => [2,7,1]
[2,9,10,3,4,5,6,7,8,1] => [3,6,1]
[8,1,9,3,4,5,6,7,10,2] => [1,2,6,1]
[7,9,2,3,4,5,6,1,10,8] => [2,5,2,1]
[2,9,1,10,4,5,6,7,8,3] => [2,2,5,1]
[2,8,10,3,4,5,6,7,1,9] => [3,5,2]
[9,8,7,6,5,4,3,1,2,10] => [1,1,1,1,1,1,1,3]
[1,10,9,8,7,6,5,4,2,3] => [2,1,1,1,1,1,1,2]
[1,2,10,9,8,7,6,5,4,3] => [3,1,1,1,1,1,1,1]
[3,2,1,10,9,8,7,6,5,4] => [1,1,2,1,1,1,1,1,1]
[1,3,2,10,9,8,7,6,5,4] => [2,2,1,1,1,1,1,1]
[1,2,3,10,9,8,7,6,5,4] => [4,1,1,1,1,1,1]
[1,4,3,2,10,9,8,7,6,5] => [2,1,2,1,1,1,1,1]
[1,2,4,3,10,9,8,7,6,5] => [3,2,1,1,1,1,1]
[1,2,3,4,10,9,8,7,6,5] => [5,1,1,1,1,1]
[1,5,4,3,2,10,9,8,7,6] => [2,1,1,2,1,1,1,1]
[2,1,5,4,3,10,9,8,7,6] => [1,2,1,2,1,1,1,1]
[1,2,5,4,3,10,9,8,7,6] => [3,1,2,1,1,1,1]
[1,3,2,5,4,10,9,8,7,6] => [2,2,2,1,1,1,1]
[1,2,3,5,4,10,9,8,7,6] => [4,2,1,1,1,1]
[1,2,6,5,4,3,10,9,8,7] => [3,1,1,2,1,1,1]
[3,2,1,6,5,4,10,9,8,7] => [1,1,2,1,2,1,1,1]
[1,3,2,6,5,4,10,9,8,7] => [2,2,1,2,1,1,1]
[1,2,3,6,5,4,10,9,8,7] => [4,1,2,1,1,1]
[1,2,4,3,6,5,10,9,8,7] => [3,2,2,1,1,1]
[1,2,3,4,6,5,10,9,8,7] => [5,2,1,1,1]
[1,2,3,4,5,6,10,9,8,7] => [7,1,1,1]
[1,4,3,2,7,6,5,10,9,8] => [2,1,2,1,2,1,1]
[2,1,4,3,7,6,5,10,9,8] => [1,2,2,1,2,1,1]
[1,2,4,3,7,6,5,10,9,8] => [3,2,1,2,1,1]
[1,2,3,4,7,6,5,10,9,8] => [5,1,2,1,1]
[1,3,2,5,4,7,6,10,9,8] => [2,2,2,2,1,1]
[1,2,3,5,4,7,6,10,9,8] => [4,2,2,1,1]
[1,2,3,4,5,7,6,10,9,8] => [6,2,1,1]
[1,2,3,4,5,6,7,10,9,8] => [8,1,1]
[1,2,4,3,6,5,8,7,10,9] => [3,2,2,2,1]
[1,2,3,4,6,5,8,7,10,9] => [5,2,2,1]
[1,2,3,4,5,6,8,7,10,9] => [7,2,1]
[10,9,8,7,6,5,2,1,4,3] => [1,1,1,1,1,1,1,2,1]
[10,9,8,7,3,2,1,6,5,4] => [1,1,1,1,1,1,2,1,1]
[10,9,8,7,6,3,1,5,2,4] => [1,1,1,1,1,1,2,2]
[10,9,4,3,2,1,8,7,6,5] => [1,1,1,1,1,2,1,1,1]
[10,9,8,4,3,1,7,6,2,5] => [1,1,1,1,1,2,1,2]
[10,9,8,7,2,1,4,3,6,5] => [1,1,1,1,1,2,2,1]
[10,9,8,7,4,1,6,2,3,5] => [1,1,1,1,1,2,3]
[10,5,4,3,1,9,8,7,2,6] => [1,1,1,1,2,1,1,2]
[10,9,5,2,1,8,4,3,7,6] => [1,1,1,1,2,1,2,1]
[10,9,5,4,1,8,7,2,3,6] => [1,1,1,1,2,1,3]
[10,9,8,3,1,5,2,7,4,6] => [1,1,1,1,2,2,2]
[6,5,2,1,10,9,4,3,8,7] => [1,1,1,2,1,1,2,1]
[6,5,4,1,10,9,8,2,3,7] => [1,1,1,2,1,1,3]
[10,3,2,1,6,5,4,9,8,7] => [1,1,1,2,1,2,1,1]
[10,6,5,1,9,8,2,3,4,7] => [1,1,1,2,1,4]
[10,9,2,1,4,3,6,5,8,7] => [1,1,1,2,2,2,1]
[10,9,6,1,8,2,3,4,5,7] => [1,1,1,2,5]
[4,3,1,7,6,2,10,9,5,8] => [1,1,2,1,2,1,2]
[7,2,1,10,4,3,6,5,9,8] => [1,1,2,1,2,2,1]
[7,4,1,10,6,2,9,3,5,8] => [1,1,2,1,2,3]
[7,6,1,10,9,2,3,4,5,8] => [1,1,2,1,5]
[10,5,1,7,2,9,3,4,6,8] => [1,1,2,2,4]
[10,7,1,9,2,3,4,5,6,8] => [1,1,2,6]
[4,1,6,2,8,3,10,5,7,9] => [1,2,2,2,3]
[6,1,8,2,10,3,4,5,7,9] => [1,2,2,5]
[8,1,10,2,3,4,5,6,7,9] => [1,2,7]
[10,1,9,8,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1,1]
[8,1,10,9,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1,1]
[7,1,10,9,8,6,5,4,3,2] => [1,2,1,1,1,1,1,1,1]
[6,1,10,9,8,7,5,4,3,2] => [1,2,1,1,1,1,1,1,1]
[5,1,10,9,8,7,6,4,3,2] => [1,2,1,1,1,1,1,1,1]
[4,1,10,9,8,7,6,5,3,2] => [1,2,1,1,1,1,1,1,1]
[3,1,10,9,8,7,6,5,4,2] => [1,2,1,1,1,1,1,1,1]
[9,10,7,8,5,6,2,1,3,4] => [2,2,2,1,3]
[9,10,7,8,4,3,5,6,1,2] => [2,2,1,3,2]
[9,10,7,8,4,2,5,1,3,6] => [2,2,1,2,3]
[9,10,7,8,3,2,1,4,5,6] => [2,2,1,1,4]
[9,10,6,5,7,8,3,4,1,2] => [2,1,3,2,2]
[9,10,6,5,7,8,2,1,3,4] => [2,1,3,1,3]
[9,10,6,4,7,3,5,8,1,2] => [2,1,2,3,2]
[9,10,6,4,7,2,5,1,3,8] => [2,1,2,2,3]
[9,10,6,3,7,2,1,4,5,8] => [2,1,2,1,4]
[9,10,5,4,3,6,7,8,1,2] => [2,1,1,4,2]
[9,10,5,4,2,6,7,1,3,8] => [2,1,1,3,3]
[9,10,5,3,2,6,1,4,7,8] => [2,1,1,2,4]
[9,10,4,3,2,1,5,6,7,8] => [2,1,1,1,5]
[8,7,9,10,5,6,3,4,1,2] => [1,3,2,2,2]
[8,7,9,10,5,6,2,1,3,4] => [1,3,2,1,3]
[8,7,9,10,4,3,5,6,1,2] => [1,3,1,3,2]
[8,7,9,10,4,2,5,1,3,6] => [1,3,1,2,3]
[8,7,9,10,3,2,1,4,5,6] => [1,3,1,1,4]
[8,6,9,5,7,10,3,4,1,2] => [1,2,3,2,2]
[8,6,9,5,7,10,2,1,3,4] => [1,2,3,1,3]
[8,6,9,4,7,3,5,10,1,2] => [1,2,2,3,2]
[8,6,9,3,7,2,1,4,5,10] => [1,2,2,1,4]
[8,5,9,4,3,6,7,10,1,2] => [1,2,1,4,2]
[8,5,9,4,2,6,7,1,3,10] => [1,2,1,3,3]
[8,5,9,3,2,6,1,4,7,10] => [1,2,1,2,4]
[8,4,9,3,2,1,5,6,7,10] => [1,2,1,1,5]
[7,6,5,8,9,10,3,4,1,2] => [1,1,4,2,2]
[7,6,5,8,9,10,2,1,3,4] => [1,1,4,1,3]
[7,6,4,8,9,3,5,10,1,2] => [1,1,3,3,2]
[7,6,4,8,9,2,5,1,3,10] => [1,1,3,2,3]
[7,6,3,8,9,2,1,4,5,10] => [1,1,3,1,4]
[7,5,4,8,3,6,9,10,1,2] => [1,1,2,4,2]
[7,5,4,8,2,6,9,1,3,10] => [1,1,2,3,3]
[7,4,3,8,2,1,5,6,9,10] => [1,1,2,1,5]
[6,5,4,3,7,8,9,10,1,2] => [1,1,1,5,2]
[6,5,4,2,7,8,9,1,3,10] => [1,1,1,4,3]
[6,5,3,2,7,8,1,4,9,10] => [1,1,1,3,4]
[1,3,2,7,6,5,10,9,8,4] => [2,2,1,2,1,1,1]
[1,4,3,6,5,2,10,9,8,7] => [2,2,1,2,1,1,1]
[1,4,3,7,6,2,10,9,8,5] => [2,2,1,2,1,1,1]
[1,5,4,7,6,3,10,9,8,2] => [2,2,1,2,1,1,1]
[1,4,3,8,7,2,10,9,6,5] => [2,2,1,2,1,1,1]
[1,5,4,8,7,3,10,9,6,2] => [2,2,1,2,1,1,1]
[2,3,1,6,5,4,10,9,8,7] => [2,2,1,2,1,1,1]
[2,3,1,7,6,5,10,9,8,4] => [2,2,1,2,1,1,1]
[2,4,1,6,5,3,10,9,8,7] => [2,2,1,2,1,1,1]
[2,4,1,7,6,3,10,9,8,5] => [2,2,1,2,1,1,1]
[2,5,1,7,6,4,10,9,8,3] => [2,2,1,2,1,1,1]
[2,4,1,8,7,3,10,9,6,5] => [2,2,1,2,1,1,1]
[2,5,1,8,7,4,10,9,6,3] => [2,2,1,2,1,1,1]
[3,4,2,6,5,1,10,9,8,7] => [2,2,1,2,1,1,1]
[3,4,2,7,6,1,10,9,8,5] => [2,2,1,2,1,1,1]
[3,5,2,7,6,1,10,9,8,4] => [2,2,1,2,1,1,1]
[4,5,3,7,6,2,10,9,8,1] => [2,2,1,2,1,1,1]
[3,4,2,8,7,1,10,9,6,5] => [2,2,1,2,1,1,1]
[3,5,2,8,7,1,10,9,6,4] => [2,2,1,2,1,1,1]
[4,5,3,8,7,2,10,9,6,1] => [2,2,1,2,1,1,1]
[2,5,1,6,4,3,10,9,8,7] => [2,2,1,2,1,1,1]
[2,5,1,7,4,3,10,9,8,6] => [2,2,1,2,1,1,1]
[2,6,1,7,5,4,10,9,8,3] => [2,2,1,2,1,1,1]
[2,5,1,8,4,3,10,9,7,6] => [2,2,1,2,1,1,1]
[2,6,1,8,5,4,10,9,7,3] => [2,2,1,2,1,1,1]
[3,5,2,6,4,1,10,9,8,7] => [2,2,1,2,1,1,1]
[3,5,2,7,4,1,10,9,8,6] => [2,2,1,2,1,1,1]
[3,6,2,7,5,1,10,9,8,4] => [2,2,1,2,1,1,1]
[4,6,3,7,5,2,10,9,8,1] => [2,2,1,2,1,1,1]
[3,5,2,8,4,1,10,9,7,6] => [2,2,1,2,1,1,1]
[3,6,2,8,5,1,10,9,7,4] => [2,2,1,2,1,1,1]
[4,6,3,8,5,2,10,9,7,1] => [2,2,1,2,1,1,1]
[3,7,2,8,6,1,10,9,5,4] => [2,2,1,2,1,1,1]
[4,7,3,8,6,2,10,9,5,1] => [2,2,1,2,1,1,1]
[2,5,1,9,4,3,10,8,7,6] => [2,2,1,2,1,1,1]
[2,6,1,9,5,4,10,8,7,3] => [2,2,1,2,1,1,1]
[3,5,2,9,4,1,10,8,7,6] => [2,2,1,2,1,1,1]
[3,6,2,9,5,1,10,8,7,4] => [2,2,1,2,1,1,1]
[4,6,3,9,5,2,10,8,7,1] => [2,2,1,2,1,1,1]
[3,7,2,9,6,1,10,8,5,4] => [2,2,1,2,1,1,1]
[10,1,2,3,4,5,6,7,9,8] => [1,8,1]
[2,3,4,5,6,7,8,10,9,1] => [8,1,1]
[3,2,10,9,8,7,6,5,4,1] => [1,2,1,1,1,1,1,1,1]
[10,2,1,9,8,7,6,5,4,3] => [1,1,2,1,1,1,1,1,1]
[2,3,4,6,5,7,8,9,10,1] => [4,5,1]
[10,1,2,3,5,4,6,7,8,9] => [1,4,5]
[9,7,10,8,5,6,3,4,1,2] => [1,2,1,2,2,2]
[9,7,10,5,8,6,3,4,1,2] => [1,2,2,1,2,2]
[9,7,10,5,8,3,6,4,1,2] => [1,2,2,2,1,2]
[9,7,10,5,8,3,6,2,4,1] => [1,2,2,2,2,1]
[9,7,10,5,8,4,6,2,3,1] => [1,2,2,2,2,1]
[9,7,10,6,8,4,5,2,3,1] => [1,2,2,2,2,1]
[9,8,10,6,7,4,5,2,3,1] => [1,2,2,2,2,1]
[1,10,9,8,7,6,5,2,4,3] => [2,1,1,1,1,1,2,1]
[1,10,9,8,7,6,2,5,4,3] => [2,1,1,1,1,2,1,1]
[2,10,9,8,7,1,6,5,4,3] => [2,1,1,1,2,1,1,1]
[1,10,9,8,2,7,6,5,4,3] => [2,1,1,2,1,1,1,1]
[1,10,9,2,8,7,6,5,4,3] => [2,1,2,1,1,1,1,1]
[2,10,1,9,8,7,6,5,4,3] => [2,2,1,1,1,1,1,1]
[3,10,9,8,7,6,5,2,1,4] => [2,1,1,1,1,1,1,2]
[4,10,9,8,7,6,1,2,5,3] => [2,1,1,1,1,3,1]
[5,10,9,8,7,1,2,6,4,3] => [2,1,1,1,3,1,1]
[6,10,9,8,2,1,7,5,4,3] => [2,1,1,1,2,1,1,1]
[7,10,9,1,2,8,6,5,4,3] => [2,1,3,1,1,1,1]
[8,10,1,2,9,7,6,5,4,3] => [2,3,1,1,1,1,1]
[9,2,1,10,8,7,6,5,4,3] => [1,1,2,1,1,1,1,1,1]
[10,2,1,4,3,6,5,8,7,9] => [1,1,2,2,2,2]
[10,2,1,4,3,6,5,7,9,8] => [1,1,2,2,3,1]
[10,2,1,4,3,5,7,8,6,9] => [1,1,2,4,2]
[10,2,1,4,3,5,7,6,9,8] => [1,1,2,3,2,1]
[10,2,1,4,3,5,6,8,9,7] => [1,1,2,5,1]
[10,2,1,3,5,6,4,8,7,9] => [1,1,4,2,2]
[10,2,1,3,5,6,4,7,9,8] => [1,1,4,3,1]
[10,2,1,3,5,4,7,8,6,9] => [1,1,3,3,2]
[10,2,1,3,5,4,7,6,9,8] => [1,1,3,2,2,1]
[10,2,1,3,5,4,6,8,9,7] => [1,1,3,4,1]
[10,2,1,3,4,6,7,8,5,9] => [1,1,6,2]
[10,2,1,3,4,6,7,5,9,8] => [1,1,5,2,1]
[10,2,1,3,4,6,5,8,9,7] => [1,1,4,3,1]
[10,2,1,3,4,5,7,8,9,6] => [1,1,7,1]
[10,1,3,4,2,6,5,8,7,9] => [1,3,2,2,2]
[10,1,3,4,2,6,5,7,9,8] => [1,3,2,3,1]
[10,1,3,4,2,5,7,8,6,9] => [1,3,4,2]
[10,1,3,4,2,5,7,6,9,8] => [1,3,3,2,1]
[10,1,3,4,2,5,6,8,9,7] => [1,3,5,1]
[10,1,3,2,5,6,4,8,7,9] => [1,2,3,2,2]
[10,1,3,2,5,6,4,7,9,8] => [1,2,3,3,1]
[10,1,3,2,5,4,7,8,6,9] => [1,2,2,3,2]
[10,1,3,2,5,4,7,6,9,8] => [1,2,2,2,2,1]
[10,1,3,2,5,4,6,8,9,7] => [1,2,2,4,1]
[10,1,3,2,4,6,7,8,5,9] => [1,2,5,2]
[10,1,3,2,4,6,7,5,9,8] => [1,2,4,2,1]
[10,1,3,2,4,6,5,8,9,7] => [1,2,3,3,1]
[10,1,3,2,4,5,7,8,9,6] => [1,2,6,1]
[10,1,2,4,5,6,3,8,7,9] => [1,5,2,2]
[10,1,2,4,5,6,3,7,9,8] => [1,5,3,1]
[10,1,2,4,5,3,7,8,6,9] => [1,4,3,2]
[10,1,2,4,5,3,7,6,9,8] => [1,4,2,2,1]
[10,1,2,4,5,3,6,8,9,7] => [1,4,4,1]
[10,1,2,4,3,6,7,8,5,9] => [1,3,4,2]
[10,1,2,4,3,6,7,5,9,8] => [1,3,3,2,1]
[10,1,2,4,3,6,5,8,9,7] => [1,3,2,3,1]
[10,1,2,4,3,5,7,8,9,6] => [1,3,5,1]
[10,1,2,3,5,6,7,8,4,9] => [1,7,2]
[10,1,2,3,5,6,7,4,9,8] => [1,6,2,1]
[10,1,2,3,5,6,4,8,9,7] => [1,5,3,1]
[10,1,2,3,5,4,7,8,9,6] => [1,4,4,1]
[10,1,2,3,4,6,7,8,9,5] => [1,8,1]
[6,7,8,9,1,2,3,4,5,10] => [4,6]
[1,7,8,9,10,2,3,4,5,6] => [5,5]
[5,6,7,8,9,1,2,3,4,10] => [5,5]
[1,6,7,8,9,10,2,3,4,5] => [6,4]
[1,2,4,3,5,6,7,8,9,10] => [3,7]
[1,2,4,6,5,3,7,8,9,10] => [4,1,5]
[1,2,4,6,8,7,5,3,9,10] => [5,1,1,3]
[1,2,4,6,8,10,9,7,5,3] => [6,1,1,1,1]
[1,2,4,6,8,9,7,5,3,10] => [6,1,1,2]
[1,2,4,6,7,5,3,8,9,10] => [5,1,4]
[1,2,4,5,3,6,7,8,9,10] => [4,6]
[2,4,1,3,6,8,5,7,10,9] => [2,4,3,1]
[2,4,1,3,6,8,5,7,9,10] => [2,4,4]
[2,4,1,3,7,8,5,6,9,10] => [2,4,4]
[3,4,1,2,7,8,5,6,9,10] => [2,4,4]
[2,4,1,5,6,7,8,9,10,3] => [2,7,1]
[2,3,4,5,6,7,9,1,10,8] => [7,2,1]
[2,3,5,1,6,7,8,9,10,4] => [3,6,1]
[2,3,4,5,6,8,1,9,10,7] => [6,3,1]
[2,3,4,6,1,7,8,9,10,5] => [4,5,1]
[2,3,4,5,7,1,8,9,10,6] => [5,4,1]
[4,1,2,5,6,7,8,9,10,3] => [1,8,1]
[4,3,1,5,6,7,8,10,2,9] => [1,1,6,2]
[2,6,1,5,3,7,8,9,10,4] => [2,2,5,1]
[5,3,4,1,6,7,9,2,10,8] => [1,2,4,2,1]
[2,3,8,1,6,7,4,9,10,5] => [3,3,3,1]
[6,3,4,5,1,8,2,9,10,7] => [1,3,2,3,1]
[2,3,4,10,1,7,8,9,5,6] => [4,4,2]
[8,7,2,4,6,10,1,3,5,9] => [1,1,4,4]
[2,10,7,9,4,6,8,1,3,5] => [2,2,3,3]
[6,5,2,4,8,10,1,3,7,9] => [1,1,4,4]
[2,8,5,7,4,6,10,1,3,9] => [2,2,3,3]
[10,5,2,4,7,9,6,8,1,3] => [1,1,4,2,2]
[10,9,2,8,5,7,4,6,1,3] => [1,1,2,2,2,2]
[8,7,6,5,2,4,10,1,3,9] => [1,1,1,1,3,3]
[10,7,2,6,5,9,4,8,1,3] => [1,1,2,2,2,2]
[6,10,5,9,8,7,2,4,1,3] => [2,2,1,1,2,2]
[4,10,3,9,2,6,8,1,5,7] => [2,2,3,3]
[4,3,10,7,9,2,6,8,1,5] => [1,2,2,3,2]
[3,6,2,5,4,8,10,1,7,9] => [2,2,3,3]
[3,6,10,2,5,9,4,8,1,7] => [3,3,2,2]
[3,5,8,2,4,7,6,10,1,9] => [3,3,2,2]
[3,5,7,10,2,4,6,9,8,1] => [4,4,1,1]
[10,9,3,5,8,2,4,7,6,1] => [1,1,3,3,1,1]
[8,7,3,6,2,5,4,10,1,9] => [1,1,2,2,2,2]
[7,6,3,5,10,2,4,9,8,1] => [1,1,3,3,1,1]
[3,6,10,9,8,2,5,7,4,1] => [3,1,1,3,1,1]
[10,9,8,7,3,6,2,5,4,1] => [1,1,1,1,2,2,1,1]
[5,4,3,8,2,7,6,10,1,9] => [1,1,2,2,2,2]
[5,4,3,7,10,2,6,9,8,1] => [1,1,3,3,1,1]
[5,10,4,9,3,8,2,7,6,1] => [2,2,2,2,1,1]
[4,8,3,7,6,5,2,10,1,9] => [2,2,1,1,2,2]
[4,7,3,6,5,10,2,9,8,1] => [2,2,2,2,1,1]
[4,6,10,3,5,9,8,7,2,1] => [3,3,1,1,1,1]
[10,9,4,8,3,7,6,5,2,1] => [1,1,2,2,1,1,1,1]
[7,6,5,4,3,10,2,9,8,1] => [1,1,1,1,2,2,1,1]
[6,5,4,10,3,9,8,7,2,1] => [1,1,2,2,1,1,1,1]
[5,10,4,9,8,7,6,3,2,1] => [2,2,1,1,1,1,1,1]
[9,2,3,4,5,6,7,8,1,10] => [1,7,2]
[1,10,3,4,5,6,7,8,9,2] => [2,7,1]
[9,8,3,4,5,6,7,2,1,10] => [1,1,5,1,2]
[1,10,9,4,5,6,7,8,3,2] => [2,1,5,1,1]
[8,1,2,3,4,5,6,7,10,9] => [1,8,1]
[2,3,4,5,6,7,9,8,1,10] => [7,1,2]
[1,3,4,5,6,7,8,10,9,2] => [8,1,1]
[1,2,3,4,5,6,10,8,9,7] => [7,2,1]
[1,2,3,4,5,10,7,8,9,6] => [6,3,1]
[1,2,3,4,10,6,7,8,9,5] => [5,4,1]
[1,2,3,10,5,6,7,8,9,4] => [4,5,1]
[1,2,10,4,5,6,7,8,9,3] => [3,6,1]
[10,2,3,4,5,6,7,8,9,1] => [1,8,1]
[1,2,3,4,6,8,5,7,10,9] => [6,3,1]
[1,2,3,4,7,5,8,6,10,9] => [5,2,2,1]
[1,2,3,5,7,4,6,9,8,10] => [5,3,2]
[1,2,3,6,4,7,5,9,8,10] => [4,2,2,2]
[3,10,1,2,4,5,6,7,8,9] => [2,8]
[10,9,8,7,5,6,4,3,2,1] => [1,1,1,1,2,1,1,1,1]
[2,1,10,9,8,6,7,5,4,3] => [1,2,1,1,2,1,1,1]
[1,9,8,7,6,5,4,3,2,10] => [2,1,1,1,1,1,1,2]
[7,8,9,1,2,3,4,5,10,6] => [3,6,1]
[2,8,9,10,1,3,4,5,6,7] => [4,6]
[8,1,9,2,10,3,4,5,6,7] => [1,2,2,5]
[7,1,8,2,9,3,10,4,5,6] => [1,2,2,2,3]
[5,1,6,2,7,3,8,4,10,9] => [1,2,2,2,2,1]
[4,1,5,2,6,3,8,7,10,9] => [1,2,2,2,2,1]
[5,7,6,10,8,9,4,3,2,1] => [2,2,2,1,1,1,1]
[4,6,5,8,9,10,3,7,2,1] => [2,4,2,1,1]
[5,8,6,10,9,7,4,3,2,1] => [2,2,1,1,1,1,1,1]
[4,7,5,9,10,8,6,3,2,1] => [2,3,1,1,1,1,1]
[4,6,5,8,10,7,3,2,1,9] => [2,3,1,1,1,2]
[6,10,8,1,2,7,5,4,3,9] => [2,1,3,1,1,2]
[6,7,5,10,8,9,4,3,2,1] => [2,2,2,1,1,1,1]
[5,6,4,8,9,10,3,7,2,1] => [2,4,2,1,1]
[6,7,5,10,9,8,4,3,2,1] => [2,2,1,1,1,1,1,1]
[5,7,4,8,10,9,6,3,2,1] => [2,3,1,1,1,1,1]
[5,6,4,7,10,9,3,2,8,1] => [2,3,1,1,2,1]
[8,10,7,1,2,9,6,5,4,3] => [2,1,3,1,1,1,1]
[7,10,6,1,2,9,5,4,8,3] => [2,1,3,1,2,1]
[7,8,5,10,9,6,4,3,2,1] => [2,2,1,1,1,1,1,1]
[5,8,4,9,10,7,6,3,2,1] => [2,3,1,1,1,1,1]
[5,8,4,9,10,6,3,7,2,1] => [2,3,1,2,1,1]
[5,7,4,8,9,6,3,2,1,10] => [2,3,1,1,1,2]
[9,10,8,1,2,7,6,5,4,3] => [2,1,3,1,1,1,1]
[9,10,8,1,2,6,5,7,4,3] => [2,1,3,2,1,1]
[8,9,7,1,2,6,5,4,3,10] => [2,1,3,1,1,2]
[6,9,5,10,7,8,4,3,2,1] => [2,2,2,1,1,1,1]
[6,7,4,10,9,8,5,3,2,1] => [2,2,1,1,1,1,1,1]
[5,6,4,10,7,9,3,2,8,1] => [2,2,2,1,2,1]
[7,10,6,1,9,8,5,4,3,2] => [2,1,2,1,1,1,1,1]
[6,10,5,1,7,9,4,3,8,2] => [2,1,3,1,2,1]
[7,9,5,10,8,6,4,3,2,1] => [2,2,1,1,1,1,1,1]
[7,8,4,10,9,6,5,3,2,1] => [2,2,1,1,1,1,1,1]
[5,8,4,10,9,6,3,7,2,1] => [2,2,1,1,2,1,1]
[5,7,4,9,8,6,3,2,1,10] => [2,2,1,1,1,1,2]
[8,10,7,1,9,6,5,4,3,2] => [2,1,2,1,1,1,1,1]
[8,10,5,1,9,6,4,7,3,2] => [2,1,2,1,2,1,1]
[7,9,5,1,8,6,4,3,2,10] => [2,1,2,1,1,1,2]
[5,9,4,1,10,8,6,7,3,2] => [2,1,2,1,2,1,1]
[5,8,4,1,9,7,6,3,2,10] => [2,1,2,1,1,1,2]
[7,10,6,2,9,8,5,4,3,1] => [2,1,2,1,1,1,1,1]
[6,10,5,2,7,9,4,3,8,1] => [2,1,3,1,2,1]
[8,10,7,2,9,6,5,4,3,1] => [2,1,2,1,1,1,1,1]
[8,10,5,2,9,6,4,7,3,1] => [2,1,2,1,2,1,1]
[7,9,5,2,8,6,4,3,1,10] => [2,1,2,1,1,1,2]
[5,9,4,2,10,8,6,7,3,1] => [2,1,2,1,2,1,1]
[5,8,4,2,9,7,6,3,1,10] => [2,1,2,1,1,1,2]
[2,1,3,4,5,6,7,9,10,8] => [1,8,1]
[2,1,3,4,5,6,7,8,10,9] => [1,8,1]
[7,1,2,3,4,5,8,9,10,6] => [1,8,1]
[6,1,2,3,4,7,8,9,10,5] => [1,8,1]
[5,1,2,3,6,7,8,9,10,4] => [1,8,1]
[1,3,5,7,10,2,4,6,8,9] => [5,5]
[7,10,1,3,5,9,2,4,6,8] => [2,4,4]
[5,7,1,3,6,10,2,4,8,9] => [2,4,4]
[10,5,7,1,3,6,9,2,4,8] => [1,2,4,3]
[5,6,10,9,1,3,8,2,4,7] => [3,1,3,3]
[3,5,1,4,7,10,2,6,8,9] => [2,4,4]
[3,4,7,10,1,5,9,2,6,8] => [4,3,3]
[7,3,5,1,4,6,10,2,8,9] => [1,2,4,3]
[4,10,3,7,1,5,6,9,2,8] => [2,2,4,2]
[6,4,10,3,9,1,5,8,2,7] => [1,2,2,3,2]
[3,4,7,6,1,5,10,2,8,9] => [3,1,3,3]
[3,4,6,10,7,1,5,9,2,8] => [4,1,3,2]
[4,10,3,6,5,9,1,8,2,7] => [2,2,2,2,2]
[3,4,5,10,9,8,1,7,2,6] => [4,1,1,2,2]
[1,3,2,5,7,10,4,6,8,9] => [2,4,4]
[1,2,7,10,3,5,9,4,6,8] => [4,3,3]
[1,2,5,7,3,6,10,4,8,9] => [4,3,3]
[10,1,2,5,7,3,6,9,4,8] => [1,4,3,2]
[5,6,10,1,2,9,3,8,4,7] => [3,3,2,2]
[5,1,3,2,4,7,10,6,8,9] => [1,2,4,3]
[4,1,2,7,10,3,5,9,6,8] => [1,4,3,2]
[2,7,1,5,3,4,6,10,8,9] => [2,2,4,2]
[2,4,10,1,7,3,5,6,9,8] => [3,2,4,1]
[6,2,4,10,1,9,3,5,8,7] => [1,3,2,3,1]
[4,2,7,1,6,3,5,10,8,9] => [1,2,2,3,2]
[4,2,6,10,1,7,3,5,9,8] => [1,3,2,3,1]
[2,4,10,6,1,5,9,3,8,7] => [3,1,3,2,1]
[4,2,5,10,9,1,8,3,7,6] => [1,3,1,2,2,1]
[1,2,5,4,3,7,10,6,8,9] => [3,1,3,3]
[1,2,4,3,7,10,5,9,6,8] => [3,3,2,2]
[1,2,4,7,5,3,6,10,8,9] => [4,1,3,2]
[10,1,2,4,3,7,5,6,9,8] => [1,3,2,3,1]
[6,10,1,2,4,3,9,5,8,7] => [2,3,2,2,1]
[2,7,1,4,3,6,5,10,8,9] => [2,2,2,2,2]
[2,6,1,3,10,4,7,5,9,8] => [2,3,2,2,1]
[10,2,6,1,4,3,5,9,8,7] => [1,2,2,3,1,1]
[2,5,3,10,1,9,4,8,7,6] => [2,2,2,2,1,1]
[1,2,3,7,6,5,4,10,8,9] => [4,1,1,2,2]
[1,2,3,6,5,10,7,4,9,8] => [4,2,1,2,1]
[5,1,2,3,10,6,4,9,8,7] => [1,4,1,2,1,1]
[2,3,10,1,5,4,9,8,7,6] => [3,2,2,1,1,1]
[9,7,5,4,3,2,1,10,8,6] => [1,1,1,1,1,1,2,1,1]
[8,6,5,4,3,2,1,9,7,10] => [1,1,1,1,1,1,2,2]
[9,7,5,3,2,1,10,8,6,4] => [1,1,1,1,1,2,1,1,1]
[8,6,4,3,2,1,9,7,5,10] => [1,1,1,1,1,2,1,2]
[8,5,4,3,2,1,9,6,10,7] => [1,1,1,1,1,2,2,1]
[7,5,4,3,2,1,8,6,9,10] => [1,1,1,1,1,2,3]
[8,6,4,2,1,9,7,5,3,10] => [1,1,1,1,2,1,1,2]
[8,5,3,2,1,9,6,4,10,7] => [1,1,1,1,2,1,2,1]
[7,5,3,2,1,8,6,4,9,10] => [1,1,1,1,2,1,3]
[7,4,3,2,1,8,5,9,6,10] => [1,1,1,1,2,2,2]
[6,4,3,2,1,7,5,8,9,10] => [1,1,1,1,2,4]
[8,5,3,1,9,6,4,2,10,7] => [1,1,1,2,1,1,2,1]
[7,5,3,1,8,6,4,2,9,10] => [1,1,1,2,1,1,3]
[8,5,2,1,9,6,3,10,7,4] => [1,1,1,2,1,2,1,1]
[7,4,2,1,8,5,3,9,6,10] => [1,1,1,2,1,2,2]
[6,4,2,1,7,5,3,8,9,10] => [1,1,1,2,1,4]
[7,3,2,1,8,4,9,5,10,6] => [1,1,1,2,2,2,1]
[6,3,2,1,7,4,8,5,9,10] => [1,1,1,2,2,3]
[5,3,2,1,6,4,7,8,9,10] => [1,1,1,2,5]
[7,4,1,8,5,2,9,6,3,10] => [1,1,2,1,2,1,2]
[7,3,1,8,4,2,9,5,10,6] => [1,1,2,1,2,2,1]
[6,3,1,7,4,2,8,5,9,10] => [1,1,2,1,2,3]
[5,3,1,6,4,2,7,8,9,10] => [1,1,2,1,5]
[6,2,1,7,3,8,4,9,5,10] => [1,1,2,2,2,2]
[5,2,1,6,3,7,4,8,9,10] => [1,1,2,2,4]
[4,2,1,5,3,6,7,8,9,10] => [1,1,2,6]
[5,1,6,2,7,3,8,4,9,10] => [1,2,2,2,3]
[4,1,5,2,6,3,7,8,9,10] => [1,2,2,5]
[3,1,4,2,5,6,7,8,9,10] => [1,2,7]
[1,9,2,3,4,5,6,7,8,10] => [2,8]
[10,2,8,4,6,5,3,7,1,9] => [1,2,2,1,2,2]
[10,2,9,4,6,5,3,7,8,1] => [1,2,2,1,3,1]
[10,2,8,4,7,5,6,3,1,9] => [1,2,2,2,1,2]
[10,2,9,4,7,5,6,3,8,1] => [1,2,2,2,2,1]
[10,2,9,4,8,5,6,7,3,1] => [1,2,2,3,1,1]
[10,2,8,6,5,4,3,7,1,9] => [1,2,1,1,1,2,2]
[10,2,9,6,5,4,3,7,8,1] => [1,2,1,1,1,3,1]
[10,2,8,7,5,4,6,3,1,9] => [1,2,1,1,2,1,2]
[10,2,9,7,5,4,6,3,8,1] => [1,2,1,1,2,2,1]
[10,2,9,8,5,4,6,7,3,1] => [1,2,1,1,3,1,1]
[10,2,8,7,6,5,4,3,1,9] => [1,2,1,1,1,1,1,2]
[10,2,9,7,6,5,4,3,8,1] => [1,2,1,1,1,1,2,1]
[10,2,9,8,6,5,4,7,3,1] => [1,2,1,1,1,2,1,1]
[10,2,9,8,7,5,6,4,3,1] => [1,2,1,1,2,1,1,1]
[10,8,3,4,6,5,2,7,1,9] => [1,1,3,1,2,2]
[10,9,3,4,6,5,2,7,8,1] => [1,1,3,1,3,1]
[10,8,3,4,7,5,6,2,1,9] => [1,1,3,2,1,2]
[10,9,3,4,7,5,6,2,8,1] => [1,1,3,2,2,1]
[10,9,3,4,8,5,6,7,2,1] => [1,1,3,3,1,1]
[10,8,3,6,5,4,2,7,1,9] => [1,1,2,1,1,2,2]
[10,9,3,6,5,4,2,7,8,1] => [1,1,2,1,1,3,1]
[10,8,3,7,5,4,6,2,1,9] => [1,1,2,1,2,1,2]
[10,9,3,7,5,4,6,2,8,1] => [1,1,2,1,2,2,1]
[10,9,3,8,5,4,6,7,2,1] => [1,1,2,1,3,1,1]
[10,8,3,7,6,5,4,2,1,9] => [1,1,2,1,1,1,1,2]
[10,9,3,7,6,5,4,2,8,1] => [1,1,2,1,1,1,2,1]
[10,9,3,8,6,5,4,7,2,1] => [1,1,2,1,1,2,1,1]
[10,9,3,8,7,5,6,4,2,1] => [1,1,2,1,2,1,1,1]
[10,8,6,4,5,3,2,7,1,9] => [1,1,1,2,1,2,2]
[10,9,6,4,5,3,2,7,8,1] => [1,1,1,2,1,3,1]
[10,8,7,4,5,3,6,2,1,9] => [1,1,1,2,2,1,2]
[10,9,7,4,5,3,6,2,8,1] => [1,1,1,2,2,2,1]
[10,9,8,4,5,3,6,7,2,1] => [1,1,1,2,3,1,1]
[10,8,7,4,6,5,3,2,1,9] => [1,1,1,2,1,1,1,2]
[10,9,7,4,6,5,3,2,8,1] => [1,1,1,2,1,1,2,1]
[10,9,8,4,6,5,3,7,2,1] => [1,1,1,2,1,2,1,1]
[10,9,8,4,7,5,6,3,2,1] => [1,1,1,2,2,1,1,1]
[10,9,7,6,5,4,3,2,8,1] => [1,1,1,1,1,1,1,2,1]
[10,9,8,6,5,4,3,7,2,1] => [1,1,1,1,1,1,2,1,1]
[10,9,8,7,5,4,6,3,2,1] => [1,1,1,1,1,2,1,1,1]
[1,2,3,4,5,6,7,9,8,10] => [8,2]
[10,3,4,5,6,7,8,9,1,2] => [1,7,2]
[9,3,4,5,6,7,8,1,10,2] => [1,6,2,1]
[8,3,4,5,6,7,1,9,10,2] => [1,5,3,1]
[7,3,4,5,6,1,8,9,10,2] => [1,4,4,1]
[6,3,4,5,1,7,8,9,10,2] => [1,3,5,1]
[5,3,4,1,6,7,8,9,10,2] => [1,2,6,1]
[4,3,1,5,6,7,8,9,10,2] => [1,1,7,1]
[10,9,4,5,6,7,8,1,2,3] => [1,1,5,3]
[10,3,8,5,6,7,1,9,2,4] => [1,2,3,2,2]
[10,3,4,7,6,1,8,9,2,5] => [1,3,1,3,2]
[10,3,4,5,1,7,8,9,2,6] => [1,3,4,2]
[5,3,4,1,6,10,8,9,2,7] => [1,2,3,2,2]
[4,3,1,5,6,7,10,9,2,8] => [1,1,5,1,2]
[3,1,4,5,6,7,8,10,2,9] => [1,7,2]
[10,9,1,3,5,8,2,4,6,7] => [1,1,4,4]
[7,6,1,3,5,10,2,4,8,9] => [1,1,4,4]
[6,10,7,9,1,3,8,2,4,5] => [2,2,3,3]
[10,9,8,7,1,3,6,2,4,5] => [1,1,1,1,3,3]
[5,4,1,3,7,10,2,6,8,9] => [1,1,4,4]
[3,10,4,9,1,5,8,2,6,7] => [2,2,3,3]
[4,7,5,6,1,3,10,2,8,9] => [2,2,3,3]
[4,6,10,5,7,9,1,8,2,3] => [3,3,2,2]
[10,9,4,8,5,7,1,6,2,3] => [1,1,2,2,2,2]
[7,6,5,4,1,3,10,2,8,9] => [1,1,1,1,3,3]
[6,5,4,10,7,9,1,8,2,3] => [1,1,2,2,2,2]
[5,10,6,9,8,7,1,4,2,3] => [2,2,1,1,2,2]
[10,9,8,7,6,5,1,4,2,3] => [1,1,1,1,1,1,2,2]
[3,2,1,5,7,10,4,6,8,9] => [1,1,4,4]
[1,10,2,9,3,5,8,4,6,7] => [2,2,3,3]
[1,7,2,6,3,5,10,4,8,9] => [2,2,3,3]
[1,6,10,2,7,9,3,8,4,5] => [3,3,2,2]
[10,9,1,8,2,7,3,6,4,5] => [1,1,2,2,2,2]
[2,5,3,4,1,7,10,6,8,9] => [2,2,3,3]
[10,2,4,1,9,3,5,8,6,7] => [1,2,2,3,2]
[2,4,7,3,5,6,1,10,8,9] => [3,3,2,2]
[2,4,6,10,3,5,7,9,8,1] => [4,4,1,1]
[10,9,2,4,8,3,5,7,6,1] => [1,1,3,3,1,1]
[7,6,2,5,3,4,1,10,8,9] => [1,1,2,2,2,2]
[6,5,2,4,10,3,7,9,8,1] => [1,1,3,3,1,1]
[5,10,6,9,2,8,3,7,4,1] => [2,2,2,2,1,1]
[10,9,8,7,2,6,3,5,4,1] => [1,1,1,1,2,2,1,1]
[5,4,3,2,1,7,10,6,8,9] => [1,1,1,1,3,3]
[3,2,1,10,4,9,5,8,6,7] => [1,1,2,2,2,2]
[4,3,2,7,5,6,1,10,8,9] => [1,1,2,2,2,2]
[4,3,2,6,10,5,7,9,8,1] => [1,1,3,3,1,1]
[2,10,3,9,4,8,5,7,6,1] => [2,2,2,2,1,1]
[3,7,4,6,5,2,1,10,8,9] => [2,2,1,1,2,2]
[3,6,4,5,2,10,7,9,8,1] => [2,2,2,2,1,1]
[3,5,10,4,6,9,8,7,2,1] => [3,3,1,1,1,1]
[10,9,3,8,4,7,6,5,2,1] => [1,1,2,2,1,1,1,1]
[7,6,5,4,3,2,1,10,8,9] => [1,1,1,1,1,1,2,2]
[6,5,4,3,2,10,7,9,8,1] => [1,1,1,1,2,2,1,1]
[5,4,3,10,6,9,8,7,2,1] => [1,1,2,2,1,1,1,1]
[4,10,5,9,8,7,6,3,2,1] => [2,2,1,1,1,1,1,1]
[9,2,3,4,5,6,7,10,1,8] => [1,7,2]
[9,2,3,4,5,6,10,8,1,7] => [1,6,1,2]
[9,2,3,4,5,10,7,8,1,6] => [1,5,2,2]
[9,2,3,4,10,6,7,8,1,5] => [1,4,3,2]
[9,2,3,10,5,6,7,8,1,4] => [1,3,4,2]
[9,2,10,4,5,6,7,8,1,3] => [1,2,5,2]
[10,9,3,4,5,6,7,8,2,1] => [1,1,6,1,1]
[2,10,4,5,6,7,8,9,1,3] => [2,6,2]
[9,8,4,5,6,7,1,2,10,3] => [1,1,4,3,1]
[2,10,9,5,6,7,8,1,3,4] => [2,1,4,3]
[9,3,8,5,6,7,1,2,10,4] => [1,2,3,3,1]
[9,7,4,5,6,1,8,2,10,3] => [1,1,3,2,2,1]
[2,10,4,9,6,7,8,1,3,5] => [2,2,3,3]
[2,10,8,5,6,7,1,9,3,4] => [2,1,3,2,2]
[1,3,2,4,5,6,7,8,9,10] => [2,8]
[1,4,2,5,3,6,7,8,9,10] => [2,2,6]
[1,4,2,3,5,6,7,8,9,10] => [2,8]
[1,5,2,6,3,7,4,8,9,10] => [2,2,2,4]
[1,5,2,3,6,4,7,8,9,10] => [2,3,5]
[1,5,2,6,3,4,7,8,9,10] => [2,2,6]
[1,5,2,3,4,6,7,8,9,10] => [2,8]
[1,5,2,4,3,6,7,8,9,10] => [2,2,6]
[1,6,2,7,3,8,4,9,5,10] => [2,2,2,2,2]
[1,6,2,3,7,4,8,5,9,10] => [2,3,2,3]
[1,6,2,7,3,4,5,8,9,10] => [2,2,6]
[1,6,2,3,4,7,5,8,9,10] => [2,4,4]
[1,6,2,4,3,7,5,8,9,10] => [2,2,2,4]
[1,6,2,4,3,5,7,8,9,10] => [2,2,6]
[1,6,2,5,3,4,7,8,9,10] => [2,2,6]
[1,7,2,8,3,4,5,9,6,10] => [2,2,4,2]
[1,7,2,3,4,8,5,9,6,10] => [2,4,2,2]
[1,7,2,8,3,9,4,5,6,10] => [2,2,2,4]
[1,7,2,4,3,8,5,6,9,10] => [2,2,2,4]
[1,7,2,4,3,5,8,6,9,10] => [2,2,3,3]
[1,7,2,8,3,5,4,6,9,10] => [2,2,2,4]
[1,7,2,5,3,4,8,6,9,10] => [2,2,3,3]
[1,7,2,5,3,4,6,8,9,10] => [2,2,6]
[1,7,2,6,3,5,4,8,9,10] => [2,2,2,4]
[1,8,2,5,3,9,4,10,6,7] => [2,2,2,2,2]
[1,8,2,9,3,5,4,6,7,10] => [2,2,2,4]
[1,8,2,5,3,4,9,6,7,10] => [2,2,3,3]
[1,8,2,5,3,4,6,9,7,10] => [2,2,4,2]
[1,8,2,6,3,9,4,5,7,10] => [2,2,2,4]
[1,8,2,6,3,4,5,9,7,10] => [2,2,4,2]
[1,8,2,6,3,5,4,7,9,10] => [2,2,2,4]
[1,8,2,7,3,6,4,5,9,10] => [2,2,2,4]
[1,9,2,10,3,7,4,8,5,6] => [2,2,2,2,2]
[1,9,2,7,3,5,4,10,6,8] => [2,2,2,2,2]
[1,9,2,7,3,5,4,6,10,8] => [2,2,2,3,1]
[1,9,2,7,3,6,4,5,8,10] => [2,2,2,4]
[1,9,2,8,3,7,4,6,5,10] => [2,2,2,2,2]
[1,10,2,9,3,8,4,7,5,6] => [2,2,2,2,2]
[9,2,3,4,5,6,7,8,10,1] => [1,8,1]
[8,2,3,4,5,6,7,10,9,1] => [1,7,1,1]
[7,2,3,4,5,6,10,8,9,1] => [1,6,2,1]
[6,2,3,4,5,10,7,8,9,1] => [1,5,3,1]
[5,2,3,4,10,6,7,8,9,1] => [1,4,4,1]
[4,2,3,10,5,6,7,8,9,1] => [1,3,5,1]
[3,2,10,4,5,6,7,8,9,1] => [1,2,6,1]
[2,10,3,4,5,6,7,8,9,1] => [2,7,1]
[2,3,4,6,7,5,8,9,1,10] => [5,3,2]
[1,3,4,5,7,8,6,9,10,2] => [6,3,1]
[9,7,5,3,1,8,6,4,2,10] => [1,1,1,1,2,1,1,2]
[1,10,8,6,4,2,9,7,5,3] => [2,1,1,1,2,1,1,1]
[3,1,2,4,5,6,7,8,9,10] => [1,9]
[6,3,5,1,2,4,7,8,9,10] => [1,2,7]
[2,4,6,9,1,3,5,7,8,10] => [4,6]
[9,7,6,5,4,3,2,1,8,10] => [1,1,1,1,1,1,1,3]
[10,8,6,9,4,7,2,5,1,3] => [1,1,2,2,2,2]
[10,3,2,4,5,6,7,8,9,1] => [1,1,7,1]
[9,1,2,3,4,5,6,8,7,10] => [1,7,2]
[1,10,2,3,4,5,6,7,9,8] => [2,7,1]
[1,3,4,5,6,7,8,10,2,9] => [8,2]
[1,3,4,5,6,7,8,9,2,10] => [8,2]
[1,8,10,9,7,6,5,4,3,2] => [3,1,1,1,1,1,1,1]
[1,7,10,9,8,6,5,4,3,2] => [3,1,1,1,1,1,1,1]
[1,5,10,9,8,7,6,4,3,2] => [3,1,1,1,1,1,1,1]
[1,4,10,9,8,7,6,5,3,2] => [3,1,1,1,1,1,1,1]
[9,8,1,10,7,6,5,4,3,2] => [1,1,2,1,1,1,1,1,1]
[7,8,10,1,9,6,5,4,3,2] => [3,2,1,1,1,1,1]
[6,7,10,9,1,8,5,4,3,2] => [3,1,2,1,1,1,1]
[6,5,10,9,8,1,7,4,3,2] => [1,2,1,1,2,1,1,1]
[4,5,10,9,8,7,1,6,3,2] => [3,1,1,1,2,1,1]
[3,4,10,9,8,7,6,1,5,2] => [3,1,1,1,1,2,1]
[3,2,10,9,8,7,6,5,1,4] => [1,2,1,1,1,1,1,2]
[1,2,3,4,5,6,8,10,9,7] => [8,1,1]
[1,2,3,4,5,7,8,10,9,6] => [8,1,1]
[1,2,3,4,5,7,9,10,8,6] => [8,1,1]
[1,2,3,4,5,7,10,9,8,6] => [7,1,1,1]
[1,2,3,4,6,7,8,10,9,5] => [8,1,1]
[1,2,3,4,6,7,9,10,8,5] => [8,1,1]
[1,2,3,4,6,7,10,9,8,5] => [7,1,1,1]
[1,2,3,4,6,8,10,9,7,5] => [7,1,1,1]
[1,2,3,4,6,10,9,8,7,5] => [6,1,1,1,1]
[1,2,3,5,6,7,9,10,8,4] => [8,1,1]
[1,2,3,5,6,7,10,9,8,4] => [7,1,1,1]
[1,2,3,5,6,8,9,10,7,4] => [8,1,1]
[1,2,3,5,6,8,10,9,7,4] => [7,1,1,1]
[1,2,3,5,6,10,9,8,7,4] => [6,1,1,1,1]
[1,2,3,5,7,9,10,8,6,4] => [7,1,1,1]
[1,2,3,5,7,10,9,8,6,4] => [6,1,1,1,1]
[1,2,3,5,10,9,8,7,6,4] => [5,1,1,1,1,1]
[1,2,4,5,7,8,10,9,6,3] => [7,1,1,1]
[1,2,4,5,7,9,10,8,6,3] => [7,1,1,1]
[1,2,4,5,7,10,9,8,6,3] => [6,1,1,1,1]
[1,2,4,5,10,9,8,7,6,3] => [5,1,1,1,1,1]
[1,2,4,6,10,9,8,7,5,3] => [5,1,1,1,1,1]
[1,2,4,10,9,8,7,6,5,3] => [4,1,1,1,1,1,1]
[1,3,5,7,9,10,8,6,4,2] => [6,1,1,1,1]
[1,3,5,7,10,9,8,6,4,2] => [5,1,1,1,1,1]
[1,3,5,10,9,8,7,6,4,2] => [4,1,1,1,1,1,1]
[1,3,10,9,8,7,6,5,4,2] => [3,1,1,1,1,1,1,1]
[9,1,8,2,3,4,5,6,10,7] => [1,2,6,1]
[9,7,1,2,3,4,5,6,10,8] => [1,1,7,1]
[2,10,1,9,3,4,5,6,7,8] => [2,2,6]
[2,10,8,1,3,4,5,6,7,9] => [2,1,7]
[4,1,3,2,5,6,7,8,9,10] => [1,2,7]
[6,1,2,4,5,3,7,8,9,10] => [1,4,5]
[5,4,1,2,3,6,7,8,9,10] => [1,1,8]
[8,1,2,3,5,6,7,4,9,10] => [1,6,3]
[7,5,1,2,4,6,3,8,9,10] => [1,1,4,4]
[4,1,6,3,5,2,7,8,9,10] => [1,2,2,5]
[9,6,1,2,3,4,7,8,5,10] => [1,1,6,2]
[8,1,7,3,2,6,4,5,9,10] => [1,2,1,2,4]
[8,3,6,1,2,5,7,4,9,10] => [1,2,4,3]
[5,7,1,6,2,4,3,8,9,10] => [2,2,2,4]
[7,3,4,6,1,2,5,8,9,10] => [1,3,6]
[10,1,8,3,2,4,7,6,9,5] => [1,2,1,3,2,1]
[10,3,7,1,2,4,5,8,9,6] => [1,2,6,1]
[6,1,2,9,4,5,7,8,3,10] => [1,3,4,2]
[9,8,1,7,3,2,4,6,5,10] => [1,1,2,1,3,2]
[9,3,4,7,1,2,6,8,5,10] => [1,3,4,2]
[4,1,6,3,8,5,7,2,9,10] => [1,2,2,2,3]
[6,8,5,1,7,2,3,4,9,10] => [2,1,2,5]
[8,3,4,5,7,1,2,6,9,10] => [1,4,5]
[7,10,1,2,8,4,5,3,9,6] => [2,3,2,2,1]
[10,1,6,3,9,5,2,8,4,7] => [1,2,2,1,2,2]
[10,9,5,1,8,3,2,6,7,4] => [1,1,1,2,1,3,1]
[10,3,4,5,8,1,2,7,9,6] => [1,4,4,1]
[5,7,1,9,2,8,4,6,3,10] => [2,2,2,2,2]
[7,9,4,6,1,8,2,3,5,10] => [2,2,2,4]
[9,3,4,5,6,8,1,2,7,10] => [1,5,4]
[4,1,6,3,8,5,10,7,9,2] => [1,2,2,2,2,1]
[6,8,10,1,7,2,9,3,5,4] => [3,2,2,2,1]
[8,10,4,5,7,1,9,2,3,6] => [2,3,2,3]
[10,3,4,5,6,7,9,1,2,8] => [1,6,3]
[3,5,7,9,1,2,4,6,8,10] => [4,6]
[3,5,7,1,2,4,6,8,9,10] => [3,7]
[3,5,9,1,2,4,6,7,8,10] => [3,7]
[3,5,8,1,2,4,6,7,9,10] => [3,7]
[3,5,1,2,4,6,7,8,9,10] => [2,8]
[3,7,9,1,2,4,5,6,8,10] => [3,7]
[3,7,8,1,2,4,5,6,9,10] => [3,7]
[3,6,9,1,2,4,5,7,8,10] => [3,7]
[3,6,8,1,2,4,5,7,9,10] => [3,7]
[3,6,1,2,4,5,7,8,9,10] => [2,8]
[3,9,1,2,4,5,6,7,8,10] => [2,8]
[3,8,1,2,4,5,6,7,9,10] => [2,8]
[3,7,1,2,4,5,6,8,9,10] => [2,8]
[5,7,9,1,2,3,4,6,8,10] => [3,7]
[5,7,8,1,2,3,4,6,9,10] => [3,7]
[5,6,9,1,2,3,4,7,8,10] => [3,7]
[5,6,8,1,2,3,4,7,9,10] => [3,7]
[5,6,1,2,3,4,7,8,9,10] => [2,8]
[4,7,9,1,2,3,5,6,8,10] => [3,7]
[4,7,8,1,2,3,5,6,9,10] => [3,7]
[4,6,9,1,2,3,5,7,8,10] => [3,7]
[4,6,8,1,2,3,5,7,9,10] => [3,7]
[4,6,1,2,3,5,7,8,9,10] => [2,8]
[4,9,1,2,3,5,6,7,8,10] => [2,8]
[4,8,1,2,3,5,6,7,9,10] => [2,8]
[4,7,1,2,3,5,6,8,9,10] => [2,8]
[4,1,2,3,5,6,7,8,9,10] => [1,9]
[7,9,1,2,3,4,5,6,8,10] => [2,8]
[7,8,1,2,3,4,5,6,9,10] => [2,8]
[6,9,1,2,3,4,5,7,8,10] => [2,8]
[6,8,1,2,3,4,5,7,9,10] => [2,8]
[6,7,1,2,3,4,5,8,9,10] => [2,8]
[5,9,1,2,3,4,6,7,8,10] => [2,8]
[5,8,1,2,3,4,6,7,9,10] => [2,8]
[5,7,1,2,3,4,6,8,9,10] => [2,8]
[5,1,2,3,4,6,7,8,9,10] => [1,9]
[8,1,2,3,4,5,6,7,9,10] => [1,9]
[7,1,2,3,4,5,6,8,9,10] => [1,9]
[6,1,2,3,4,5,7,8,9,10] => [1,9]
[3,4,1,6,2,5,8,7,10,9] => [2,2,3,2,1]
[10,8,6,4,2,1,3,5,7,9] => [1,1,1,1,1,5]
[10,8,6,2,1,4,3,5,7,9] => [1,1,1,1,2,4]
[10,8,4,2,1,6,3,5,7,9] => [1,1,1,1,2,4]
[10,6,4,2,1,8,3,5,7,9] => [1,1,1,1,2,4]
[8,6,4,2,1,10,3,5,7,9] => [1,1,1,1,2,4]
[8,6,4,2,9,1,3,5,7,10] => [1,1,1,2,5]
[9,6,4,2,7,1,3,5,8,10] => [1,1,1,2,5]
[9,7,4,2,5,1,3,6,8,10] => [1,1,1,2,5]
[9,7,5,2,3,1,4,6,8,10] => [1,1,1,2,5]
[9,7,5,3,1,2,4,6,8,10] => [1,1,1,1,6]
[1,2,10,3,4,5,6,7,9,8] => [3,6,1]
[1,2,3,9,4,5,6,10,7,8] => [4,4,2]
[1,2,3,4,10,5,6,7,9,8] => [5,4,1]
[1,2,3,4,5,10,6,7,9,8] => [6,3,1]
[1,2,3,4,5,6,9,10,7,8] => [8,2]
[8,1,2,3,4,5,9,6,10,7] => [1,6,2,1]
[7,10,1,2,3,4,5,9,6,8] => [2,6,2]
[6,1,10,2,3,4,5,9,7,8] => [1,2,5,2]
[5,1,2,3,4,6,9,7,10,8] => [1,6,2,1]
[4,1,2,3,10,5,6,9,7,8] => [1,4,3,2]
[3,1,2,4,5,10,6,9,7,8] => [1,5,2,2]
[9,8,7,6,1,5,4,3,2,10] => [1,1,1,1,2,1,1,2]
[8,10,9,7,6,1,5,4,3,2] => [2,1,1,1,2,1,1,1]
[9,1,2,3,4,5,7,10,6,8] => [1,7,2]
[9,1,2,3,5,7,10,4,6,8] => [1,6,3]
[9,1,3,5,7,10,2,4,6,8] => [1,5,4]
[9,8,7,6,5,4,2,1,3,10] => [1,1,1,1,1,1,1,3]
[9,8,7,6,5,3,2,1,4,10] => [1,1,1,1,1,1,1,3]
[9,8,7,6,4,3,2,1,5,10] => [1,1,1,1,1,1,1,3]
[9,8,7,5,4,3,2,1,6,10] => [1,1,1,1,1,1,1,3]
[9,8,6,5,4,3,2,1,7,10] => [1,1,1,1,1,1,1,3]
[7,8,9,6,5,4,3,2,10,1] => [3,1,1,1,1,2,1]
[2,8,9,10,7,6,5,4,3,1] => [4,1,1,1,1,1,1]
[10,1,3,4,5,6,7,8,9,2] => [1,8,1]
[1,9,3,4,5,6,7,10,2,8] => [2,6,2]
[9,2,3,4,5,6,1,10,8,7] => [1,5,2,1,1]
[9,1,10,4,5,6,7,8,3,2] => [1,2,5,1,1]
[8,10,3,4,5,6,7,1,9,2] => [2,5,2,1]
[10,6,1,2,3,4,9,5,7,8] => [1,1,5,3]
[10,7,1,2,3,4,9,5,6,8] => [1,1,5,3]
[9,10,1,2,3,4,8,5,6,7] => [2,5,3]
[10,1,5,2,3,4,6,7,8,9] => [1,2,7]
[10,1,2,5,3,4,6,7,8,9] => [1,3,6]
[5,1,2,3,10,4,6,7,8,9] => [1,4,5]
[7,6,1,2,3,4,10,9,5,8] => [1,1,5,1,2]
[9,7,1,2,3,4,8,5,10,6] => [1,1,5,2,1]
[5,9,1,2,3,4,6,7,10,8] => [2,7,1]
[10,8,4,9,1,2,3,5,6,7] => [1,1,2,6]
[2,10,1,5,3,4,6,7,8,9] => [2,2,6]
[3,1,5,2,10,4,6,7,8,9] => [1,2,2,5]
[4,1,2,10,3,5,6,7,8,9] => [1,3,6]
[2,3,4,5,6,9,1,10,7,8] => [6,2,2]
[2,3,4,5,8,1,9,10,6,7] => [5,3,2]
[2,3,6,1,7,8,9,10,4,5] => [3,5,2]
[2,5,1,6,7,8,9,10,3,4] => [2,6,2]
[9,10,1,8,7,6,5,4,3,2] => [2,2,1,1,1,1,1,1]
[10,9,1,8,7,6,5,4,3,2] => [1,1,2,1,1,1,1,1,1]
[8,10,9,1,7,6,5,4,3,2] => [2,1,2,1,1,1,1,1]
[10,8,9,1,7,6,5,4,3,2] => [1,2,2,1,1,1,1,1]
[10,9,8,1,7,6,5,4,3,2] => [1,1,1,2,1,1,1,1,1]
[7,10,9,8,1,6,5,4,3,2] => [2,1,1,2,1,1,1,1]
[10,7,9,8,1,6,5,4,3,2] => [1,2,1,2,1,1,1,1]
[9,10,7,8,1,6,5,4,3,2] => [2,2,2,1,1,1,1]
[10,9,7,8,1,6,5,4,3,2] => [1,1,2,2,1,1,1,1]
[10,9,8,7,1,6,5,4,3,2] => [1,1,1,1,2,1,1,1,1]
[10,6,9,8,7,1,5,4,3,2] => [1,2,1,1,2,1,1,1]
[9,10,6,8,7,1,5,4,3,2] => [2,2,1,2,1,1,1]
[10,9,6,8,7,1,5,4,3,2] => [1,1,2,1,2,1,1,1]
[10,8,9,6,7,1,5,4,3,2] => [1,2,2,2,1,1,1]
[10,9,8,6,7,1,5,4,3,2] => [1,1,1,2,2,1,1,1]
[10,9,8,7,6,1,5,4,3,2] => [1,1,1,1,1,2,1,1,1]
[9,10,5,8,7,6,1,4,3,2] => [2,2,1,1,2,1,1]
[10,9,5,8,7,6,1,4,3,2] => [1,1,2,1,1,2,1,1]
[8,10,9,5,7,6,1,4,3,2] => [2,1,2,1,2,1,1]
[10,8,9,5,7,6,1,4,3,2] => [1,2,2,1,2,1,1]
[10,9,8,5,7,6,1,4,3,2] => [1,1,1,2,1,2,1,1]
[9,10,7,8,5,6,1,4,3,2] => [2,2,2,2,1,1]
[10,9,7,8,5,6,1,4,3,2] => [1,1,2,2,2,1,1]
[10,9,8,7,5,6,1,4,3,2] => [1,1,1,1,2,2,1,1]
[10,9,8,7,6,5,1,4,3,2] => [1,1,1,1,1,1,2,1,1]
[10,7,9,8,4,6,5,1,3,2] => [1,2,1,2,1,2,1]
[9,10,7,8,4,6,5,1,3,2] => [2,2,2,1,2,1]
[10,9,7,8,4,6,5,1,3,2] => [1,1,2,2,1,2,1]
[10,9,8,7,4,6,5,1,3,2] => [1,1,1,1,2,1,2,1]
[10,9,8,6,7,4,5,1,3,2] => [1,1,1,2,2,2,1]
[10,9,8,7,6,4,5,1,3,2] => [1,1,1,1,1,2,2,1]
[10,9,8,7,6,5,4,1,3,2] => [1,1,1,1,1,1,1,2,1]
[3,2,5,4,7,6,9,8,1,10] => [1,2,2,2,1,2]
[3,5,2,4,7,6,9,8,1,10] => [2,3,2,1,2]
[3,5,2,7,4,6,9,8,1,10] => [2,2,3,1,2]
[3,5,2,7,4,9,6,8,1,10] => [2,2,2,2,2]
[3,5,2,7,4,9,6,1,10,8] => [2,2,2,1,2,1]
[3,5,2,7,4,8,6,10,9,1] => [2,2,2,2,1,1]
[3,5,2,6,4,8,7,10,9,1] => [2,2,2,2,1,1]
[3,4,2,6,5,8,7,10,9,1] => [2,2,2,2,1,1]
[2,4,3,6,5,8,7,10,9,1] => [2,2,2,2,1,1]
[3,4,5,6,7,8,9,2,10,1] => [7,2,1]
[2,4,5,6,7,8,9,10,3,1] => [8,1,1]
[9,8,7,4,5,6,3,2,10,1] => [1,1,1,3,1,2,1]
[2,10,9,8,5,6,7,4,3,1] => [2,1,1,3,1,1,1]
[3,2,5,4,7,6,1,10,8,9] => [1,2,2,1,2,2]
[3,2,5,4,9,8,6,7,1,10] => [1,2,2,1,2,2]
[3,2,5,4,1,8,6,10,7,9] => [1,2,1,2,2,2]
[3,2,5,4,1,10,9,6,7,8] => [1,2,1,2,1,3]
[3,2,7,6,4,5,9,8,1,10] => [1,2,1,3,1,2]
[3,2,7,6,4,5,1,10,8,9] => [1,2,1,2,2,2]
[3,2,9,6,4,8,5,7,1,10] => [1,2,1,2,2,2]
[3,2,1,6,4,8,5,10,7,9] => [1,1,2,2,2,2]
[3,2,1,6,4,10,9,5,7,8] => [1,1,2,2,1,3]
[3,2,9,8,7,4,5,6,1,10] => [1,2,1,1,3,2]
[3,2,1,8,7,4,5,10,6,9] => [1,1,2,1,3,2]
[3,2,1,10,7,4,9,5,6,8] => [1,1,2,1,2,3]
[3,2,1,10,9,8,4,5,6,7] => [1,1,2,1,1,4]
[5,4,2,3,7,6,9,8,1,10] => [1,1,3,2,1,2]
[5,4,2,3,7,6,1,10,8,9] => [1,1,3,1,2,2]
[5,4,2,3,9,8,6,7,1,10] => [1,1,3,1,2,2]
[5,4,2,3,1,8,6,10,7,9] => [1,1,2,2,2,2]
[5,4,2,3,1,10,9,6,7,8] => [1,1,2,2,1,3]
[7,4,2,6,3,5,9,8,1,10] => [1,1,2,3,1,2]
[7,4,2,6,3,5,1,10,8,9] => [1,1,2,2,2,2]
[9,4,2,6,3,8,5,7,1,10] => [1,1,2,2,2,2]
[1,4,2,6,3,8,5,10,7,9] => [2,2,2,2,2]
[1,4,2,6,3,10,9,5,7,8] => [2,2,2,1,3]
[9,4,2,8,7,3,5,6,1,10] => [1,1,2,1,3,2]
[1,4,2,8,7,3,5,10,6,9] => [2,2,1,3,2]
[1,4,2,10,7,3,9,5,6,8] => [2,2,1,2,3]
[1,4,2,10,9,8,3,5,6,7] => [2,2,1,1,4]
[7,6,5,2,3,4,9,8,1,10] => [1,1,1,4,1,2]
[7,6,5,2,3,4,1,10,8,9] => [1,1,1,3,2,2]
[9,6,5,2,3,8,4,7,1,10] => [1,1,1,3,2,2]
[1,6,5,2,3,8,4,10,7,9] => [2,1,3,2,2]
[1,6,5,2,3,10,9,4,7,8] => [2,1,3,1,3]
[9,8,5,2,7,3,4,6,1,10] => [1,1,1,2,3,2]
[1,8,5,2,7,3,4,10,6,9] => [2,1,2,3,2]
[1,10,5,2,7,3,9,4,6,8] => [2,1,2,2,3]
[1,10,5,2,9,8,3,4,6,7] => [2,1,2,1,4]
[9,8,7,6,2,3,4,5,1,10] => [1,1,1,1,4,2]
[1,8,7,6,2,3,4,10,5,9] => [2,1,1,4,2]
[1,10,7,6,2,3,9,4,5,8] => [2,1,1,3,3]
[1,10,9,6,2,8,3,4,5,7] => [2,1,1,2,4]
[1,10,9,8,7,2,3,4,5,6] => [2,1,1,1,5]
[1,3,10,4,6,9,7,8,5,2] => [3,3,2,1,1]
[1,3,10,4,8,6,7,9,5,2] => [3,2,3,1,1]
[1,3,10,5,6,4,8,9,7,2] => [3,2,3,1,1]
[1,3,10,5,8,6,7,4,9,2] => [3,2,2,2,1]
[1,3,10,7,5,6,8,4,9,2] => [3,1,3,2,1]
[1,5,3,4,10,6,8,9,7,2] => [2,3,3,1,1]
[1,5,3,4,10,7,8,6,9,2] => [2,3,2,2,1]
[1,7,3,5,6,4,10,8,9,2] => [2,3,2,2,1]
[1,7,4,5,3,6,10,8,9,2] => [2,2,3,2,1]
[1,9,3,5,8,6,7,4,10,2] => [2,3,2,2,1]
[1,9,3,7,5,6,8,4,10,2] => [2,2,3,2,1]
[1,9,4,5,3,7,8,6,10,2] => [2,2,3,2,1]
[1,9,4,7,5,6,3,8,10,2] => [2,2,2,3,1]
[1,9,6,4,5,7,3,8,10,2] => [2,1,3,3,1]
[2,3,1,5,10,6,8,9,7,4] => [2,3,3,1,1]
[2,3,1,5,10,7,8,6,9,4] => [2,3,2,2,1]
[2,3,1,7,5,6,10,8,9,4] => [2,2,3,2,1]
[2,3,1,9,5,7,8,6,10,4] => [2,2,3,2,1]
[2,3,1,9,6,7,5,8,10,4] => [2,2,2,3,1]
[2,5,3,4,1,7,10,8,9,6] => [2,2,3,2,1]
[2,5,3,4,1,9,7,8,10,6] => [2,2,2,3,1]
[4,2,3,5,1,7,10,8,9,6] => [1,3,3,2,1]
[4,2,3,5,1,9,7,8,10,6] => [1,3,2,3,1]
[2,7,3,5,6,4,1,9,10,8] => [2,3,1,3,1]
[2,7,4,5,3,6,1,9,10,8] => [2,2,2,3,1]
[4,2,3,7,5,6,1,9,10,8] => [1,3,2,3,1]
[6,2,4,5,3,7,1,9,10,8] => [1,3,2,3,1]
[6,3,4,2,5,7,1,9,10,8] => [1,2,3,3,1]
[2,9,3,5,8,6,7,4,1,10] => [2,3,2,1,2]
[2,9,3,7,5,6,8,4,1,10] => [2,2,3,1,2]
[2,9,4,5,3,7,8,6,1,10] => [2,2,3,1,2]
[2,9,4,7,5,6,3,8,1,10] => [2,2,2,2,2]
[2,9,6,4,5,7,3,8,1,10] => [2,1,3,2,2]
[4,2,3,9,5,7,8,6,1,10] => [1,3,3,1,2]
[4,2,3,9,6,7,5,8,1,10] => [1,3,2,2,2]
[6,2,4,5,3,9,7,8,1,10] => [1,3,2,2,2]
[6,3,4,2,5,9,7,8,1,10] => [1,2,3,2,2]
[8,2,4,7,5,6,3,9,1,10] => [1,3,2,2,2]
[8,2,6,4,5,7,3,9,1,10] => [1,2,3,2,2]
[8,3,4,2,6,7,5,9,1,10] => [1,2,3,2,2]
[8,3,6,4,5,2,7,9,1,10] => [1,2,2,3,2]
[8,5,3,4,6,2,7,9,1,10] => [1,1,3,3,2]
[5,4,2,1,3,6,7,8,9,10] => [1,1,1,7]
[7,5,2,1,3,6,4,8,9,10] => [1,1,1,3,4]
[6,3,5,2,1,4,7,8,9,10] => [1,2,1,6]
[9,6,2,1,3,4,7,8,5,10] => [1,1,1,5,2]
[8,1,7,3,4,6,2,5,9,10] => [1,2,3,4]
[8,3,6,2,1,4,7,5,9,10] => [1,2,1,3,3]
[5,7,2,6,4,1,3,8,9,10] => [2,2,1,5]
[7,3,4,6,2,1,5,8,9,10] => [1,3,1,5]
[10,1,8,3,4,2,7,5,9,6] => [1,2,2,2,2,1]
[10,3,7,2,1,4,5,8,9,6] => [1,2,1,5,1]
[9,8,2,7,4,1,5,3,6,10] => [1,1,2,1,2,3]
[9,3,4,7,2,1,5,8,6,10] => [1,3,1,3,2]
[6,8,5,3,7,2,1,4,9,10] => [2,1,2,1,4]
[8,3,4,5,7,2,1,6,9,10] => [1,4,1,4]
[7,10,2,1,8,5,3,6,9,4] => [2,1,2,1,3,1]
[10,1,6,3,9,5,4,8,2,7] => [1,2,2,1,2,2]
[10,9,5,3,8,2,1,6,4,7] => [1,1,1,2,1,2,2]
[10,3,4,5,8,2,1,6,9,7] => [1,4,1,3,1]
[5,7,2,9,4,8,6,1,3,10] => [2,2,2,1,3]
[7,9,4,6,3,8,2,1,5,10] => [2,2,2,1,3]
[9,3,4,5,6,8,2,1,7,10] => [1,5,1,3]
[6,8,10,3,7,5,9,2,1,4] => [3,2,2,1,2]
[8,10,4,5,7,3,9,2,1,6] => [2,3,2,1,2]
[10,3,4,5,6,7,9,2,1,8] => [1,6,1,2]
[3,2,5,4,7,6,1,10,9,8] => [1,2,2,1,2,1,1]
[3,2,5,4,9,8,7,6,1,10] => [1,2,2,1,1,1,2]
[3,2,5,4,1,8,7,10,9,6] => [1,2,1,2,2,1,1]
[3,2,5,4,1,10,9,8,7,6] => [1,2,1,2,1,1,1,1]
[3,2,7,6,5,4,9,8,1,10] => [1,2,1,1,2,1,2]
[3,2,7,6,5,4,1,10,9,8] => [1,2,1,1,1,2,1,1]
[3,2,9,6,5,8,7,4,1,10] => [1,2,1,2,1,1,2]
[3,2,1,6,5,8,7,10,9,4] => [1,1,2,2,2,1,1]
[3,2,1,6,5,10,9,8,7,4] => [1,1,2,2,1,1,1,1]
[3,2,1,8,7,6,5,10,9,4] => [1,1,2,1,1,2,1,1]
[3,2,1,10,7,6,9,8,5,4] => [1,1,2,1,2,1,1,1]
[5,4,3,2,7,6,9,8,1,10] => [1,1,1,2,2,1,2]
[5,4,3,2,7,6,1,10,9,8] => [1,1,1,2,1,2,1,1]
[5,4,3,2,9,8,7,6,1,10] => [1,1,1,2,1,1,1,2]
[5,4,3,2,1,8,7,10,9,6] => [1,1,1,1,2,2,1,1]
[7,4,3,6,5,2,9,8,1,10] => [1,1,2,1,2,1,2]
[7,4,3,6,5,2,1,10,9,8] => [1,1,2,1,1,2,1,1]
[9,4,3,6,5,8,7,2,1,10] => [1,1,2,2,1,1,2]
[1,4,3,6,5,8,7,10,9,2] => [2,2,2,2,1,1]
[1,4,3,6,5,10,9,8,7,2] => [2,2,2,1,1,1,1]
[9,4,3,8,7,6,5,2,1,10] => [1,1,2,1,1,1,1,2]
[1,4,3,8,7,6,5,10,9,2] => [2,2,1,1,2,1,1]
[1,4,3,10,7,6,9,8,5,2] => [2,2,1,2,1,1,1]
[1,4,3,10,9,8,7,6,5,2] => [2,2,1,1,1,1,1,1]
[7,6,5,4,3,2,9,8,1,10] => [1,1,1,1,1,2,1,2]
[9,6,5,4,3,8,7,2,1,10] => [1,1,1,1,2,1,1,2]
[1,6,5,4,3,8,7,10,9,2] => [2,1,1,2,2,1,1]
[1,6,5,4,3,10,9,8,7,2] => [2,1,1,2,1,1,1,1]
[9,8,5,4,7,6,3,2,1,10] => [1,1,1,2,1,1,1,2]
[1,8,5,4,7,6,3,10,9,2] => [2,1,2,1,2,1,1]
[1,10,5,4,7,6,9,8,3,2] => [2,1,2,2,1,1,1]
[1,10,5,4,9,8,7,6,3,2] => [2,1,2,1,1,1,1,1]
[1,10,7,6,5,4,9,8,3,2] => [2,1,1,1,2,1,1,1]
[1,10,9,6,5,8,7,4,3,2] => [2,1,1,2,1,1,1,1]
[6,5,7,4,8,3,9,2,10,1] => [1,2,2,2,2,1]
[6,5,7,4,8,3,10,2,9,1] => [1,2,2,2,2,1]
[6,5,7,4,10,3,8,2,9,1] => [1,2,2,2,2,1]
[6,5,10,4,7,3,8,2,9,1] => [1,2,2,2,2,1]
[10,5,6,4,7,3,8,2,9,1] => [1,2,2,2,2,1]
[5,10,6,4,7,3,8,2,9,1] => [2,1,2,2,2,1]
[5,6,4,10,7,3,8,2,9,1] => [2,2,1,2,2,1]
[5,6,4,7,3,10,8,2,9,1] => [2,2,2,1,2,1]
[5,6,4,7,3,8,2,10,9,1] => [2,2,2,2,1,1]
[5,6,4,7,3,8,2,9,1,10] => [2,2,2,2,2]
[8,7,6,5,4,3,1,10,2,9] => [1,1,1,1,1,1,2,2]
[9,8,7,6,5,4,1,2,10,3] => [1,1,1,1,1,1,3,1]
[8,7,6,5,4,2,1,10,3,9] => [1,1,1,1,1,1,2,2]
[7,6,5,4,3,1,10,8,2,9] => [1,1,1,1,1,2,1,2]
[9,8,7,6,5,3,1,2,10,4] => [1,1,1,1,1,1,3,1]
[8,7,6,5,4,1,2,10,9,3] => [1,1,1,1,1,3,1,1]
[7,8,9,1,2,3,4,5,6,10] => [3,7]
[9,8,7,6,1,2,3,4,5,10] => [1,1,1,1,6]
[8,10,1,2,3,4,5,9,6,7] => [2,6,2]
[9,10,1,2,3,8,4,5,6,7] => [2,4,4]
[9,8,1,2,10,3,4,5,6,7] => [1,1,3,5]
[10,8,1,9,2,3,4,5,6,7] => [1,1,2,6]
[8,7,1,2,3,4,5,9,10,6] => [1,1,7,1]
[10,6,1,2,3,4,8,9,5,7] => [1,1,6,2]
[5,10,1,2,3,9,8,4,6,7] => [2,4,1,3]
[9,4,1,2,10,8,3,5,6,7] => [1,1,3,1,4]
[8,3,1,9,10,2,4,5,6,7] => [1,1,3,5]
[2,10,8,9,1,3,4,5,6,7] => [2,2,6]
[2,10,1,5,6,7,8,9,3,4] => [2,6,2]
[2,4,1,10,6,7,8,9,3,5] => [2,2,4,2]
[2,9,1,5,6,7,8,3,10,4] => [2,5,2,1]
[2,4,6,9,1,10,3,5,7,8] => [4,2,4]
[2,4,7,1,8,10,3,5,6,9] => [3,3,4]
[2,4,7,9,1,3,10,5,6,8] => [4,3,3]
[2,4,8,1,9,3,10,5,6,7] => [3,2,2,3]
[2,5,1,6,8,10,3,4,7,9] => [2,4,4]
[2,5,1,6,9,3,10,4,7,8] => [2,3,2,3]
[2,5,7,1,3,8,10,4,6,9] => [3,4,3]
[2,6,1,7,3,8,10,4,5,9] => [2,2,3,3]
[2,5,7,9,1,3,4,10,6,8] => [4,4,2]
[2,5,8,1,9,3,4,10,6,7] => [3,2,3,2]
[2,6,1,7,9,3,4,10,5,8] => [2,3,3,2]
[2,6,8,1,3,9,4,10,5,7] => [3,3,2,2]
[2,7,1,8,3,9,4,10,5,6] => [2,2,2,2,2]
[3,1,4,6,8,10,2,5,7,9] => [1,5,4]
[3,1,4,6,9,2,10,5,7,8] => [1,4,2,3]
[3,1,4,7,2,8,10,5,6,9] => [1,3,3,3]
[3,1,4,7,9,2,5,10,6,8] => [1,4,3,2]
[3,1,4,8,2,9,5,10,6,7] => [1,3,2,2,2]
[3,5,1,2,6,8,10,4,7,9] => [2,5,3]
[3,5,1,2,6,9,4,10,7,8] => [2,4,2,2]
[4,1,5,2,6,8,10,3,7,9] => [1,2,4,3]
[4,1,5,2,6,9,3,10,7,8] => [1,2,3,2,2]
[3,5,7,1,2,4,8,10,6,9] => [3,5,2]
[3,6,1,7,2,4,8,10,5,9] => [2,2,4,2]
[4,1,5,7,2,3,8,10,6,9] => [1,3,4,2]
[4,6,1,2,7,3,8,10,5,9] => [2,3,3,2]
[5,1,6,2,7,3,8,10,4,9] => [1,2,2,3,2]
[3,5,7,9,1,2,4,6,10,8] => [4,5,1]
[3,5,8,1,9,2,4,6,10,7] => [3,2,4,1]
[3,6,1,7,9,2,4,5,10,8] => [2,3,4,1]
[3,6,8,1,2,9,4,5,10,7] => [3,3,3,1]
[3,7,1,8,2,9,4,5,10,6] => [2,2,2,3,1]
[4,1,5,7,9,2,3,6,10,8] => [1,4,4,1]
[4,1,5,8,2,9,3,6,10,7] => [1,3,2,3,1]
[4,6,1,2,7,9,3,5,10,8] => [2,4,3,1]
[5,1,6,2,7,9,3,4,10,8] => [1,2,3,3,1]
[4,6,8,1,2,3,9,5,10,7] => [3,4,2,1]
[4,7,1,8,2,3,9,5,10,6] => [2,2,3,2,1]
[5,1,6,8,2,3,9,4,10,7] => [1,3,3,2,1]
[5,7,1,2,8,3,9,4,10,6] => [2,3,2,2,1]
[10,9,2,3,4,5,6,7,8,1] => [1,1,7,1]
[9,10,2,3,4,5,6,7,8,1] => [2,7,1]
[10,9,8,3,4,5,6,7,2,1] => [1,1,1,5,1,1]
[8,10,9,3,4,5,6,7,2,1] => [2,1,5,1,1]
[8,9,10,3,4,5,6,7,2,1] => [3,5,1,1]
[10,9,8,7,4,5,6,3,2,1] => [1,1,1,1,3,1,1,1]
[7,10,9,8,4,5,6,3,2,1] => [2,1,1,3,1,1,1]
[8,7,10,9,4,5,6,3,2,1] => [1,2,1,3,1,1,1]
[7,8,10,9,4,5,6,3,2,1] => [3,1,3,1,1,1]
[7,6,10,9,8,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1]
[6,7,10,9,8,5,4,3,2,1] => [3,1,1,1,1,1,1,1]
[6,8,7,10,9,5,4,3,2,1] => [2,2,1,1,1,1,1,1]
[6,7,8,10,9,5,4,3,2,1] => [4,1,1,1,1,1,1]
[6,5,10,9,7,8,4,3,2,1] => [1,2,1,2,1,1,1,1]
[5,6,10,9,7,8,4,3,2,1] => [3,1,2,1,1,1,1]
[7,6,5,10,8,9,4,3,2,1] => [1,1,2,2,1,1,1,1]
[5,6,7,10,8,9,4,3,2,1] => [4,2,1,1,1,1]
[6,5,8,7,9,10,4,3,2,1] => [1,2,3,1,1,1,1]
[5,6,8,7,9,10,4,3,2,1] => [3,3,1,1,1,1]
[7,10,9,8,1,2,3,6,5,4] => [2,1,1,4,1,1]
[8,7,10,9,1,2,3,6,5,4] => [1,2,1,4,1,1]
[7,8,9,10,1,2,3,6,5,4] => [4,4,1,1]
[6,8,7,10,9,2,1,5,4,3] => [2,2,1,1,2,1,1]
[6,7,8,10,9,2,1,5,4,3] => [4,1,1,2,1,1]
[6,5,8,7,9,10,2,1,4,3] => [1,2,3,1,2,1]
[5,6,8,7,9,10,2,1,4,3] => [3,3,1,2,1]
[5,6,7,8,9,10,2,1,4,3] => [6,1,2,1]
[2,4,3,1,6,5,8,7,10,9] => [2,1,2,2,2,1]
[2,4,3,6,5,1,8,7,10,9] => [2,2,1,2,2,1]
[2,4,3,6,5,8,7,1,10,9] => [2,2,2,1,2,1]
[2,4,3,6,5,8,7,9,1,10] => [2,2,2,2,2]
[2,4,3,6,5,7,1,9,8,10] => [2,2,2,2,2]
[2,4,3,5,1,7,6,9,8,10] => [2,2,2,2,2]
[1,9,2,10,3,8,4,7,5,6] => [2,2,2,2,2]
[1,9,2,8,3,10,4,7,5,6] => [2,2,2,2,2]
[1,9,2,8,3,7,4,10,5,6] => [2,2,2,2,2]
[1,9,2,8,3,7,4,6,10,5] => [2,2,2,3,1]
[1,9,2,8,3,7,10,4,6,5] => [2,2,3,2,1]
[1,9,2,8,10,3,7,4,6,5] => [2,3,2,2,1]
[1,9,10,2,8,3,7,4,6,5] => [3,2,2,2,1]
[7,8,4,9,5,2,10,6,3,1] => [2,2,1,2,1,1,1]
[7,4,8,5,9,6,2,10,3,1] => [1,2,2,1,2,1,1]
[7,8,4,2,9,5,3,10,6,1] => [2,1,2,1,2,1,1]
[7,4,8,5,2,9,3,10,6,1] => [1,2,1,2,2,1,1]
[7,4,2,8,5,3,9,6,10,1] => [1,1,2,1,2,2,1]
[4,7,5,8,2,9,3,10,6,1] => [2,2,2,2,1,1]
[4,7,5,2,8,3,9,6,10,1] => [2,1,2,2,2,1]
[7,8,4,9,5,2,1,10,6,3] => [2,2,1,1,2,1,1]
[7,4,8,5,9,6,2,1,10,3] => [1,2,2,1,1,2,1]
[7,8,4,2,9,5,1,10,6,3] => [2,1,2,1,2,1,1]
[7,4,8,5,2,9,1,10,6,3] => [1,2,1,2,2,1,1]
[7,4,2,8,5,9,6,1,10,3] => [1,1,2,2,1,2,1]
[4,7,5,8,2,9,1,10,6,3] => [2,2,2,2,1,1]
[4,7,5,2,8,9,6,1,10,3] => [2,1,3,1,2,1]
[7,8,4,2,1,9,5,3,10,6] => [2,1,1,2,1,2,1]
[7,4,8,5,2,1,9,3,10,6] => [1,2,1,1,2,2,1]
[7,4,2,8,5,1,9,3,10,6] => [1,1,2,1,2,2,1]
[4,7,5,8,2,1,9,3,10,6] => [2,2,1,2,2,1]
[4,7,5,2,8,1,9,3,10,6] => [2,1,2,2,2,1]
[4,7,5,2,1,8,3,9,6,10] => [2,1,1,2,2,2]
[7,2,8,4,9,5,1,10,6,3] => [1,2,2,1,2,1,1]
[7,4,2,8,9,5,1,10,6,3] => [1,1,3,1,2,1,1]
[2,7,4,8,5,9,6,1,10,3] => [2,2,2,1,2,1]
[4,7,2,8,9,5,1,10,6,3] => [2,3,1,2,1,1]
[4,2,7,8,5,9,6,1,10,3] => [1,3,2,1,2,1]
[7,2,8,4,1,9,5,3,10,6] => [1,2,1,2,1,2,1]
[7,4,2,8,1,9,5,3,10,6] => [1,1,2,2,1,2,1]
[2,7,4,8,5,1,9,3,10,6] => [2,2,1,2,2,1]
[2,7,4,1,8,5,3,9,6,10] => [2,1,2,1,2,2]
[4,7,2,8,1,9,5,3,10,6] => [2,2,2,1,2,1]
[4,2,7,8,5,1,9,3,10,6] => [1,3,1,2,2,1]
[4,2,7,1,8,5,3,9,6,10] => [1,2,2,1,2,2]
[2,4,7,5,8,1,9,3,10,6] => [3,2,2,2,1]
[2,4,7,5,1,8,3,9,6,10] => [3,1,2,2,2]
[7,8,2,9,4,5,1,10,6,3] => [2,2,2,2,1,1]
[7,2,8,4,5,9,6,1,10,3] => [1,2,3,1,2,1]
[7,8,2,9,4,1,5,3,10,6] => [2,2,1,2,2,1]
[7,2,8,4,5,1,9,3,10,6] => [1,2,2,2,2,1]
[7,2,8,4,1,5,3,9,6,10] => [1,2,1,2,2,2]
[2,7,4,5,8,1,9,3,10,6] => [2,3,2,2,1]
[2,7,4,5,1,8,3,9,6,10] => [2,2,2,2,2]
[1,10,9,2,3,4,5,6,7,8] => [2,1,7]
[1,2,10,9,3,4,5,6,7,8] => [3,1,6]
[1,8,10,9,2,3,4,5,6,7] => [3,1,6]
[1,3,10,4,5,6,7,8,9,2] => [3,6,1]
[1,9,10,3,4,5,6,7,8,2] => [3,6,1]
[2,1,4,3,6,5,8,10,9,7] => [1,2,2,3,1,1]
[2,1,4,3,6,8,7,5,10,9] => [1,2,3,1,2,1]
[2,1,4,3,8,10,7,9,5,6] => [1,2,3,2,2]
[2,1,4,3,6,7,10,8,9,5] => [1,2,4,2,1]
[2,1,4,6,5,3,8,7,10,9] => [1,3,1,2,2,1]
[2,1,4,6,5,3,8,10,9,7] => [1,3,1,3,1,1]
[2,1,6,8,5,7,3,4,10,9] => [1,3,2,3,1]
[2,1,8,7,5,10,4,9,3,6] => [1,2,1,2,2,2]
[2,1,6,7,5,10,8,4,9,3] => [1,3,2,1,2,1]
[2,1,4,5,8,6,7,3,10,9] => [1,4,2,2,1]
[2,1,8,5,10,6,7,9,3,4] => [1,2,2,3,2]
[2,1,4,7,10,6,9,8,3,5] => [1,4,2,1,2]
[2,1,4,5,6,10,7,8,9,3] => [1,5,3,1]
[2,4,3,1,6,5,8,10,9,7] => [2,1,2,3,1,1]
[2,4,3,1,6,8,7,5,10,9] => [2,1,3,1,2,1]
[2,4,3,1,8,10,7,9,5,6] => [2,1,3,2,2]
[2,4,3,1,6,7,10,8,9,5] => [2,1,4,2,1]
[4,6,3,5,1,2,8,7,10,9] => [2,2,3,2,1]
[4,6,3,5,1,2,8,10,9,7] => [2,2,4,1,1]
[6,5,3,8,2,7,1,4,10,9] => [1,1,2,2,3,1]
[8,5,3,7,2,10,4,9,1,6] => [1,1,2,2,2,2]
[6,5,3,7,2,10,8,4,9,1] => [1,1,2,2,1,2,1]
[4,5,3,8,6,2,7,1,10,9] => [2,2,1,2,2,1]
[8,6,3,5,10,2,7,9,1,4] => [1,1,3,3,2]
[4,7,3,6,10,1,9,8,2,5] => [2,3,2,1,2]
[4,5,3,6,10,7,1,8,9,2] => [2,3,1,3,1]
[2,3,6,4,5,1,8,7,10,9] => [3,2,2,2,1]
[2,3,6,4,5,1,8,10,9,7] => [3,2,3,1,1]
[6,3,8,4,5,7,1,2,10,9] => [1,2,3,3,1]
[8,3,7,4,5,10,2,9,1,6] => [1,2,3,2,2]
[6,3,7,4,5,10,8,2,9,1] => [1,2,3,1,2,1]
[2,5,8,4,7,6,1,3,10,9] => [3,2,1,3,1]
[8,5,10,4,7,6,2,9,1,3] => [1,2,2,1,2,2]
[2,7,10,4,8,6,9,5,1,3] => [3,2,2,1,2]
[2,5,6,4,10,8,7,3,9,1] => [3,2,1,1,2,1]
[2,3,4,8,5,6,7,1,10,9] => [4,3,2,1]
[8,3,4,10,5,6,7,9,1,2] => [1,3,4,2]
[2,7,4,10,5,6,9,8,1,3] => [2,2,3,1,2]
[2,3,6,10,5,9,7,8,1,4] => [4,2,2,2]
[2,3,4,5,10,6,7,8,9,1] => [5,4,1]
[2,3,4,5,6,1,8,9,10,7] => [5,4,1]
[2,3,4,5,6,8,9,1,10,7] => [7,2,1]
[4,5,6,1,7,8,9,10,2,3] => [3,5,2]
[3,5,6,1,7,8,9,10,2,4] => [3,5,2]
[3,4,6,1,7,8,9,10,2,5] => [3,5,2]
[3,4,5,1,7,8,9,10,2,6] => [3,5,2]
[2,1,4,3,6,5,8,9,10,7] => [1,2,2,4,1]
[2,1,4,3,6,7,8,5,10,9] => [1,2,4,2,1]
[2,1,4,3,8,7,9,10,5,6] => [1,2,2,3,2]
[2,1,4,3,6,7,8,9,10,5] => [1,2,6,1]
[2,1,4,5,6,3,8,7,10,9] => [1,4,2,2,1]
[2,1,4,5,6,3,8,9,10,7] => [1,4,4,1]
[2,1,6,5,7,8,3,4,10,9] => [1,2,3,3,1]
[2,1,8,5,9,7,3,10,6,4] => [1,2,2,1,2,1,1]
[2,1,6,5,7,8,9,10,3,4] => [1,2,5,2]
[2,1,4,5,6,7,8,3,10,9] => [1,6,2,1]
[2,1,8,5,6,7,9,10,3,4] => [1,2,5,2]
[2,1,4,7,6,8,9,3,10,5] => [1,3,3,2,1]
[2,1,4,5,6,7,8,9,10,3] => [1,8,1]
[2,3,4,1,6,5,8,7,10,9] => [3,2,2,2,1]
[2,3,4,1,6,5,8,9,10,7] => [3,2,4,1]
[2,3,4,1,6,7,8,5,10,9] => [3,4,2,1]
[2,3,4,1,8,7,9,10,5,6] => [3,2,3,2]
[2,3,4,1,6,7,8,9,10,5] => [3,6,1]
[4,3,5,6,1,2,8,7,10,9] => [1,3,3,2,1]
[4,3,5,6,1,2,8,9,10,7] => [1,3,5,1]
[6,3,7,5,1,8,4,2,10,9] => [1,2,1,2,1,2,1]
[8,3,9,5,1,7,4,10,6,2] => [1,2,1,2,2,1,1]
[6,3,7,5,1,8,9,10,4,2] => [1,2,1,4,1,1]
[4,3,5,6,7,8,1,2,10,9] => [1,5,3,1]
[8,3,9,5,6,7,1,10,4,2] => [1,2,3,2,1,1]
[4,3,7,8,6,10,9,2,5,1] => [1,3,2,1,2,1]
[4,3,5,6,7,8,9,10,1,2] => [1,7,2]
[2,3,4,5,6,1,8,7,10,9] => [5,2,2,1]
[6,3,4,5,7,8,1,2,10,9] => [1,5,3,1]
[8,3,4,5,9,7,1,10,6,2] => [1,4,1,2,1,1]
[6,3,4,5,7,8,9,10,1,2] => [1,7,2]
[2,5,4,6,7,1,8,3,10,9] => [2,3,2,2,1]
[8,5,4,6,7,1,9,10,3,2] => [1,1,3,3,1,1]
[2,7,4,8,6,1,9,5,10,3] => [2,2,1,2,2,1]
[2,5,4,6,7,8,9,1,10,3] => [2,5,2,1]
[2,3,4,5,6,7,8,1,10,9] => [7,2,1]
[8,3,4,5,6,7,9,10,1,2] => [1,7,2]
[2,7,4,5,6,8,9,1,10,3] => [2,5,2,1]
[2,3,6,5,7,8,1,9,10,4] => [3,3,3,1]
[1,8,2,3,4,5,6,7,10,9] => [2,7,1]
[1,3,4,5,6,7,8,2,10,9] => [7,2,1]
[4,5,2,3,6,7,8,9,10,1] => [2,7,1]
[4,3,2,5,6,7,8,9,10,1] => [1,1,7,1]
[5,6,7,2,3,4,8,9,10,1] => [3,6,1]
[5,3,6,2,4,7,8,9,10,1] => [1,2,6,1]
[5,4,3,2,6,7,8,9,10,1] => [1,1,1,6,1]
[6,7,8,9,2,3,4,5,10,1] => [4,5,1]
[6,3,7,8,2,4,5,9,10,1] => [1,3,5,1]
[6,7,4,5,2,3,8,9,10,1] => [2,2,5,1]
[6,4,3,7,2,5,8,9,10,1] => [1,1,2,5,1]
[6,5,4,3,2,7,8,9,10,1] => [1,1,1,1,5,1]
[7,8,9,10,1,3,4,5,6,2] => [4,5,1]
[7,3,8,9,10,2,4,5,6,1] => [1,4,4,1]
[7,4,3,8,9,2,5,6,10,1] => [1,1,3,4,1]
[7,5,8,3,6,2,4,9,10,1] => [1,2,2,4,1]
[7,5,4,3,8,2,6,9,10,1] => [1,1,1,2,4,1]
[7,6,5,4,3,2,8,9,10,1] => [1,1,1,1,1,4,1]
[8,9,4,5,10,1,3,6,7,2] => [2,3,4,1]
[8,4,3,9,10,1,5,6,7,2] => [1,1,3,4,1]
[8,5,9,3,6,10,2,4,7,1] => [1,2,3,3,1]
[8,5,4,3,9,10,2,6,7,1] => [1,1,1,3,3,1]
[8,9,6,7,4,5,2,3,10,1] => [2,2,2,3,1]
[8,6,4,9,3,7,2,5,10,1] => [1,1,2,2,3,1]
[8,6,5,4,3,9,2,7,10,1] => [1,1,1,1,2,3,1]
[8,7,6,5,4,3,2,9,10,1] => [1,1,1,1,1,1,3,1]
[9,6,10,1,4,8,2,5,7,3] => [1,2,3,3,1]
[9,10,6,7,4,5,1,3,8,2] => [2,2,2,3,1]
[9,6,4,10,3,7,1,5,8,2] => [1,1,2,2,3,1]
[9,6,5,4,3,10,1,7,8,2] => [1,1,1,1,2,3,1]
[9,7,5,4,10,3,8,2,6,1] => [1,1,1,2,2,2,1]
[9,7,6,5,4,3,10,2,8,1] => [1,1,1,1,1,2,2,1]
[10,1,9,2,8,3,7,4,6,5] => [1,2,2,2,2,1]
[10,8,6,1,5,2,7,3,9,4] => [1,1,1,2,2,2,1]
[10,8,6,5,4,1,7,2,9,3] => [1,1,1,1,1,2,2,1]
[10,8,7,6,5,4,3,1,9,2] => [1,1,1,1,1,1,1,2,1]
[1,4,3,6,5,10,9,7,8,2] => [2,2,2,1,2,1]
[1,4,3,8,7,5,6,10,9,2] => [2,2,1,3,1,1]
[1,4,3,10,7,5,9,6,8,2] => [2,2,1,2,2,1]
[1,4,3,10,9,8,5,6,7,2] => [2,2,1,1,3,1]
[1,6,5,3,4,8,7,10,9,2] => [2,1,3,2,1,1]
[1,6,5,3,4,10,9,7,8,2] => [2,1,3,1,2,1]
[1,8,5,3,7,4,6,10,9,2] => [2,1,2,3,1,1]
[1,10,5,3,7,4,9,6,8,2] => [2,1,2,2,2,1]
[1,10,5,3,9,8,4,6,7,2] => [2,1,2,1,3,1]
[1,8,7,6,3,4,5,10,9,2] => [2,1,1,4,1,1]
[1,10,7,6,3,4,9,5,8,2] => [2,1,1,3,2,1]
[1,10,9,6,3,8,4,5,7,2] => [2,1,1,2,3,1]
[1,10,9,8,7,3,4,5,6,2] => [2,1,1,1,4,1]
[3,1,2,6,5,8,7,10,9,4] => [1,3,2,2,1,1]
[3,1,2,6,5,10,9,7,8,4] => [1,3,2,1,2,1]
[3,1,2,8,7,5,6,10,9,4] => [1,3,1,3,1,1]
[3,1,2,10,7,5,9,6,8,4] => [1,3,1,2,2,1]
[3,1,2,10,9,8,5,6,7,4] => [1,3,1,1,3,1]
[3,1,5,2,4,8,7,10,9,6] => [1,2,3,2,1,1]
[3,1,5,2,4,10,9,7,8,6] => [1,2,3,1,2,1]
[3,1,5,2,7,4,6,10,9,8] => [1,2,2,3,1,1]
[3,1,5,2,9,8,4,6,7,10] => [1,2,2,1,4]
[3,1,7,6,2,4,5,10,9,8] => [1,2,1,4,1,1]
[3,1,7,6,2,4,9,5,8,10] => [1,2,1,3,3]
[3,1,9,6,2,8,4,5,7,10] => [1,2,1,2,4]
[3,1,9,8,7,2,4,5,6,10] => [1,2,1,1,5]
[5,4,1,2,3,8,7,10,9,6] => [1,1,4,2,1,1]
[5,4,1,2,3,10,9,7,8,6] => [1,1,4,1,2,1]
[5,4,1,2,7,3,6,10,9,8] => [1,1,3,3,1,1]
[5,4,1,2,7,3,9,6,8,10] => [1,1,3,2,3]
[5,4,1,2,9,8,3,6,7,10] => [1,1,3,1,4]
[7,4,1,6,2,3,5,10,9,8] => [1,1,2,4,1,1]
[7,4,1,6,2,3,9,5,8,10] => [1,1,2,3,3]
[9,4,1,6,2,8,3,5,7,10] => [1,1,2,2,4]
[9,4,1,8,7,2,3,5,6,10] => [1,1,2,1,5]
[7,6,5,1,2,3,4,10,9,8] => [1,1,1,5,1,1]
[7,6,5,1,2,3,9,4,8,10] => [1,1,1,4,3]
[9,6,5,1,2,8,3,4,7,10] => [1,1,1,3,4]
[9,8,5,1,7,2,3,4,6,10] => [1,1,1,2,5]
[9,1,2,3,4,5,6,10,8,7] => [1,7,1,1]
[9,1,2,3,4,5,10,7,8,6] => [1,6,2,1]
[10,1,2,3,4,9,6,7,8,5] => [1,5,3,1]
[9,1,2,3,10,5,6,7,8,4] => [1,4,4,1]
[9,1,2,10,4,5,6,7,8,3] => [1,3,5,1]
[10,1,9,3,4,5,6,7,8,2] => [1,2,6,1]
[10,1,2,3,4,5,6,8,9,7] => [1,8,1]
[9,1,2,3,4,5,7,10,8,6] => [1,7,1,1]
[9,1,2,3,4,6,10,7,8,5] => [1,6,2,1]
[10,1,2,3,5,9,6,7,8,4] => [1,5,3,1]
[9,1,2,4,10,5,6,7,8,3] => [1,4,4,1]
[9,1,3,10,4,5,6,7,8,2] => [1,3,5,1]
[10,2,9,3,4,5,6,7,8,1] => [1,2,6,1]
[1,3,2,10,6,5,4,9,8,7] => [2,2,1,1,2,1,1]
[1,6,3,2,5,4,10,9,8,7] => [2,1,2,2,1,1,1]
[1,6,3,2,10,5,4,9,8,7] => [2,1,2,1,2,1,1]
[1,10,6,3,2,5,4,9,8,7] => [2,1,1,2,2,1,1]
[1,6,3,2,10,9,5,4,8,7] => [2,1,2,1,1,2,1]
[1,10,6,3,2,9,5,4,8,7] => [2,1,1,2,1,2,1]
[3,1,2,6,5,4,10,9,8,7] => [1,3,1,2,1,1,1]
[3,1,2,10,6,5,4,9,8,7] => [1,3,1,1,2,1,1]
[3,1,6,2,5,4,10,9,8,7] => [1,2,2,2,1,1,1]
[3,1,6,2,10,5,4,9,8,7] => [1,2,2,1,2,1,1]
[3,1,10,6,2,5,4,9,8,7] => [1,2,1,2,2,1,1]
[3,1,6,2,10,9,5,4,8,7] => [1,2,2,1,1,2,1]
[3,1,10,6,2,9,5,4,8,7] => [1,2,1,2,1,2,1]
[6,3,1,2,5,4,10,9,8,7] => [1,1,3,2,1,1,1]
[6,3,1,2,10,5,4,9,8,7] => [1,1,3,1,2,1,1]
[6,3,1,10,2,5,4,9,8,7] => [1,1,2,2,2,1,1]
[10,6,3,1,2,5,4,9,8,7] => [1,1,1,3,2,1,1]
[6,3,1,2,10,9,5,4,8,7] => [1,1,3,1,1,2,1]
[6,3,1,10,2,9,5,4,8,7] => [1,1,2,2,1,2,1]
[10,6,3,1,2,9,5,4,8,7] => [1,1,1,3,1,2,1]
[3,1,6,5,2,4,10,9,8,7] => [1,2,1,3,1,1,1]
[3,1,6,5,2,10,4,9,8,7] => [1,2,1,2,2,1,1]
[3,1,10,6,5,2,4,9,8,7] => [1,2,1,1,3,1,1]
[3,1,6,5,2,10,9,4,8,7] => [1,2,1,2,1,2,1]
[3,1,10,6,5,2,9,4,8,7] => [1,2,1,1,2,2,1]
[6,3,1,5,2,4,10,9,8,7] => [1,1,2,3,1,1,1]
[6,3,1,5,2,10,4,9,8,7] => [1,1,2,2,2,1,1]
[6,3,1,10,5,2,4,9,8,7] => [1,1,2,1,3,1,1]
[10,6,3,1,5,2,4,9,8,7] => [1,1,1,2,3,1,1]
[6,3,1,5,2,10,9,4,8,7] => [1,1,2,2,1,2,1]
[6,3,1,10,5,2,9,4,8,7] => [1,1,2,1,2,2,1]
[10,6,3,1,5,2,9,4,8,7] => [1,1,1,2,2,2,1]
[6,3,1,10,9,5,2,4,8,7] => [1,1,2,1,1,3,1]
[10,6,3,1,9,5,2,4,8,7] => [1,1,1,2,1,3,1]
[3,1,6,5,2,10,9,8,4,7] => [1,2,1,2,1,1,2]
[3,1,10,6,5,2,9,8,4,7] => [1,2,1,1,2,1,2]
[6,3,1,5,2,10,9,8,4,7] => [1,1,2,2,1,1,2]
[6,3,1,10,5,2,9,8,4,7] => [1,1,2,1,2,1,2]
[10,6,3,1,5,2,9,8,4,7] => [1,1,1,2,2,1,2]
[6,3,1,10,9,5,2,8,4,7] => [1,1,2,1,1,2,2]
[1,9,2,10,3,4,5,6,7,8] => [2,2,6]
[1,4,2,3,6,5,8,7,10,9] => [2,3,2,2,1]
[1,3,4,2,6,5,8,7,10,9] => [3,2,2,2,1]
[1,2,3,4,5,6,9,7,8,10] => [7,3]
[2,1,3,4,5,6,7,10,8,9] => [1,7,2]
[5,7,6,4,8,3,9,2,10,1] => [2,1,2,2,2,1]
[4,6,5,8,7,3,9,2,10,1] => [2,2,1,2,2,1]
[3,5,4,7,9,8,6,2,10,1] => [2,3,1,1,2,1]
[4,6,5,3,7,9,8,2,10,1] => [2,1,3,1,2,1]
[3,5,4,7,6,9,8,2,10,1] => [2,2,2,1,2,1]
[2,4,3,7,9,8,6,10,5,1] => [2,3,1,2,1,1]
[2,4,3,6,8,7,10,9,5,1] => [2,3,2,1,1,1]
[3,5,4,2,6,8,10,9,7,1] => [2,1,4,1,1,1]
[2,4,3,6,5,8,10,9,7,1] => [2,2,3,1,1,1]
[4,6,5,3,7,2,8,10,9,1] => [2,1,2,3,1,1]
[3,5,4,7,6,2,8,10,9,1] => [2,2,1,3,1,1]
[2,4,3,6,8,7,5,10,9,1] => [2,3,1,2,1,1]
[3,5,4,2,6,8,7,10,9,1] => [2,1,3,2,1,1]
[2,1,6,8,7,5,9,4,10,3] => [1,3,1,2,2,1]
[2,1,5,7,6,9,8,4,10,3] => [1,3,2,1,2,1]
[2,1,4,6,5,8,10,9,7,3] => [1,3,3,1,1,1]
[2,1,5,7,6,4,8,10,9,3] => [1,3,1,3,1,1]
[2,1,4,6,5,8,7,10,9,3] => [1,3,2,2,1,1]
[3,2,6,8,7,5,9,4,1,10] => [1,3,1,2,1,2]
[3,2,5,7,6,9,8,4,1,10] => [1,3,2,1,1,2]
[2,1,5,7,6,4,8,3,10,9] => [1,3,1,2,2,1]
[2,1,4,6,5,8,7,3,10,9] => [1,3,2,1,2,1]
[4,3,6,8,7,5,2,9,1,10] => [1,3,1,1,2,2]
[3,2,5,7,6,4,9,8,1,10] => [1,3,1,2,1,2]
[3,2,5,7,6,4,1,8,10,9] => [1,3,1,1,3,1]
[5,4,7,6,3,8,2,9,1,10] => [1,2,1,2,2,2]
[4,3,6,5,8,7,2,9,1,10] => [1,2,2,1,2,2]
[2,4,3,7,9,8,6,5,1,10] => [2,3,1,1,1,2]
[4,3,6,5,2,7,9,8,1,10] => [1,2,1,3,1,2]
[1,3,2,7,9,8,6,10,5,4] => [2,3,1,2,1,1]
[1,3,2,6,8,7,10,9,5,4] => [2,3,2,1,1,1]
[2,4,3,1,5,8,10,9,7,6] => [2,1,4,1,1,1]
[1,3,2,5,4,8,10,9,7,6] => [2,2,3,1,1,1]
[4,3,6,5,2,7,1,8,10,9] => [1,2,1,2,3,1]
[3,2,5,4,7,6,1,8,10,9] => [1,2,2,1,3,1]
[1,3,2,6,8,7,5,4,10,9] => [2,3,1,1,2,1]
[3,2,5,4,1,6,8,7,10,9] => [1,2,1,3,2,1]
[10,2,3,4,5,6,7,8,1,9] => [1,7,2]
[3,10,1,4,5,6,7,8,9,2] => [2,7,1]
[8,1,10,3,4,5,6,7,2,9] => [1,2,5,2]
[10,9,2,1,3,4,5,6,8,7] => [1,1,1,6,1]
[8,2,1,10,4,5,6,7,3,9] => [1,1,2,4,2]
[7,10,8,3,4,5,6,1,2,9] => [2,1,4,3]
[3,9,1,2,10,5,6,7,8,4] => [2,3,4,1]
[9,8,10,1,2,3,4,6,7,5] => [1,2,6,1]
[5,10,3,9,1,8,7,6,4,2] => [2,2,2,1,1,1,1]
[2,3,4,5,7,8,9,10,6,1] => [8,1,1]
[2,3,4,5,6,7,10,9,8,1] => [7,1,1,1]
[2,3,4,5,6,9,8,10,7,1] => [6,2,1,1]
[2,3,4,5,8,7,9,10,6,1] => [5,3,1,1]
[2,3,4,7,6,8,9,10,5,1] => [4,4,1,1]
[2,3,6,5,7,8,9,10,4,1] => [3,5,1,1]
[2,5,4,6,7,8,9,10,3,1] => [2,6,1,1]
[4,3,5,6,7,8,9,10,2,1] => [1,7,1,1]
[1,3,10,2,4,5,6,7,8,9] => [3,7]
[10,5,9,4,8,3,7,2,6,1] => [1,2,2,2,2,1]
[1,3,5,2,4,7,6,9,8,10] => [3,3,2,2]
[1,4,2,5,3,7,6,9,8,10] => [2,2,2,2,2]
[10,3,1,5,6,7,8,9,2,4] => [1,1,6,2]
[10,4,1,5,6,7,8,9,2,3] => [1,1,6,2]
[4,2,6,8,10,1,3,5,7,9] => [1,4,5]
[4,6,2,8,10,1,3,5,7,9] => [2,3,5]
[4,6,8,2,10,1,3,5,7,9] => [3,2,5]
[4,6,8,10,2,1,3,5,7,9] => [4,1,5]
[4,6,8,2,9,1,3,5,7,10] => [3,2,5]
[4,6,2,7,9,1,3,5,8,10] => [2,3,5]
[4,2,5,7,9,1,3,6,8,10] => [1,4,5]
[2,3,5,7,9,1,4,6,8,10] => [5,5]
[9,7,10,8,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1]
[9,7,5,10,8,6,4,3,2,1] => [1,1,2,1,1,1,1,1,1]
[8,9,6,10,7,5,4,3,2,1] => [2,2,1,1,1,1,1,1]
[9,7,5,3,10,8,6,4,2,1] => [1,1,1,2,1,1,1,1,1]
[8,9,6,4,10,7,5,3,2,1] => [2,1,2,1,1,1,1,1]
[8,5,9,6,10,7,4,3,2,1] => [1,2,2,1,1,1,1,1]
[7,8,9,5,10,6,4,3,2,1] => [3,2,1,1,1,1,1]
[8,9,6,4,2,10,7,5,3,1] => [2,1,1,2,1,1,1,1]
[8,5,9,6,3,10,7,4,2,1] => [1,2,1,2,1,1,1,1]
[7,8,9,5,3,10,6,4,2,1] => [3,1,2,1,1,1,1]
[7,8,4,9,5,10,6,3,2,1] => [2,2,2,1,1,1,1]
[6,7,8,9,4,10,5,3,2,1] => [4,2,1,1,1,1]
[8,5,9,6,3,1,10,7,4,2] => [1,2,1,1,2,1,1,1]
[7,8,9,5,3,1,10,6,4,2] => [3,1,1,2,1,1,1]
[8,5,2,9,6,3,10,7,4,1] => [1,1,2,1,2,1,1,1]
[6,7,8,9,4,2,10,5,3,1] => [4,1,2,1,1,1]
[7,3,8,4,9,5,10,6,2,1] => [1,2,2,2,1,1,1]
[6,7,8,3,9,4,10,5,2,1] => [3,2,2,1,1,1]
[5,6,7,8,9,3,10,4,2,1] => [5,2,1,1,1]
[7,8,4,1,9,5,2,10,6,3] => [2,1,2,1,2,1,1]
[7,3,8,4,9,5,1,10,6,2] => [1,2,2,1,2,1,1]
[6,7,8,3,9,4,1,10,5,2] => [3,2,1,2,1,1]
[5,6,7,8,9,3,1,10,4,2] => [5,1,2,1,1]
[6,7,2,8,3,9,4,10,5,1] => [2,2,2,2,1,1]
[5,6,7,8,2,9,3,10,4,1] => [4,2,2,1,1]
[4,5,6,7,8,9,2,10,3,1] => [6,2,1,1]
[5,6,7,1,8,2,9,3,10,4] => [3,2,2,2,1]
[4,5,6,7,8,1,9,2,10,3] => [5,2,2,1]
[2,3,4,5,6,7,10,8,9,1] => [7,2,1]
[2,3,4,5,6,10,7,8,9,1] => [6,3,1]
[2,3,4,10,5,6,7,8,9,1] => [4,5,1]
[2,3,10,4,5,6,7,8,9,1] => [3,6,1]
[2,3,4,5,6,10,8,7,9,1] => [6,1,2,1]
[2,3,4,5,10,7,6,8,9,1] => [5,1,3,1]
[2,3,4,10,6,5,7,8,9,1] => [4,1,4,1]
[2,3,10,5,4,6,7,8,9,1] => [3,1,5,1]
[2,10,4,3,5,6,7,8,9,1] => [2,1,6,1]
[2,1,4,3,6,5,9,8,10,7] => [1,2,2,2,2,1]
[2,1,4,3,7,6,8,5,10,9] => [1,2,2,2,2,1]
[2,1,4,3,7,6,9,8,10,5] => [1,2,2,2,2,1]
[2,1,4,3,8,7,9,6,10,5] => [1,2,2,2,2,1]
[2,1,5,4,6,3,8,7,10,9] => [1,2,2,2,2,1]
[2,1,5,4,6,3,9,8,10,7] => [1,2,2,2,2,1]
[2,1,5,4,7,6,8,3,10,9] => [1,2,2,2,2,1]
[2,1,5,4,7,6,9,8,10,3] => [1,2,2,2,2,1]
[2,1,5,4,8,7,9,6,10,3] => [1,2,2,2,2,1]
[2,1,6,5,7,4,8,3,10,9] => [1,2,2,2,2,1]
[2,1,6,5,7,4,9,8,10,3] => [1,2,2,2,2,1]
[2,1,6,5,8,7,9,4,10,3] => [1,2,2,2,2,1]
[2,1,7,6,8,5,9,4,10,3] => [1,2,2,2,2,1]
[3,2,4,1,6,5,8,7,10,9] => [1,2,2,2,2,1]
[3,2,4,1,6,5,9,8,10,7] => [1,2,2,2,2,1]
[3,2,4,1,7,6,8,5,10,9] => [1,2,2,2,2,1]
[3,2,4,1,7,6,9,8,10,5] => [1,2,2,2,2,1]
[3,2,4,1,8,7,9,6,10,5] => [1,2,2,2,2,1]
[3,2,5,4,6,1,8,7,10,9] => [1,2,2,2,2,1]
[3,2,5,4,6,1,9,8,10,7] => [1,2,2,2,2,1]
[3,2,5,4,7,6,8,1,10,9] => [1,2,2,2,2,1]
[3,2,5,4,7,6,9,8,10,1] => [1,2,2,2,2,1]
[3,2,5,4,8,7,9,6,10,1] => [1,2,2,2,2,1]
[3,2,6,5,7,4,8,1,10,9] => [1,2,2,2,2,1]
[3,2,6,5,7,4,9,8,10,1] => [1,2,2,2,2,1]
[3,2,6,5,8,7,9,4,10,1] => [1,2,2,2,2,1]
[3,2,7,6,8,5,9,4,10,1] => [1,2,2,2,2,1]
[4,3,5,2,6,1,8,7,10,9] => [1,2,2,2,2,1]
[4,3,5,2,6,1,9,8,10,7] => [1,2,2,2,2,1]
[4,3,5,2,7,6,8,1,10,9] => [1,2,2,2,2,1]
[4,3,5,2,7,6,9,8,10,1] => [1,2,2,2,2,1]
[4,3,5,2,8,7,9,6,10,1] => [1,2,2,2,2,1]
[4,3,6,5,7,2,8,1,10,9] => [1,2,2,2,2,1]
[4,3,6,5,7,2,9,8,10,1] => [1,2,2,2,2,1]
[4,3,6,5,8,7,9,2,10,1] => [1,2,2,2,2,1]
[4,3,7,6,8,5,9,2,10,1] => [1,2,2,2,2,1]
[5,4,6,3,7,2,8,1,10,9] => [1,2,2,2,2,1]
[5,4,6,3,7,2,9,8,10,1] => [1,2,2,2,2,1]
[5,4,6,3,8,7,9,2,10,1] => [1,2,2,2,2,1]
[5,4,7,6,8,3,9,2,10,1] => [1,2,2,2,2,1]
[1,2,3,4,5,6,9,7,10,8] => [7,2,1]
[2,3,4,5,6,9,10,1,7,8] => [7,3]
[1,2,3,4,5,7,6,8,9,10] => [6,4]
[1,2,3,4,5,7,6,9,8,10] => [6,2,2]
[1,2,3,4,5,8,7,10,6,9] => [6,2,2]
[1,2,3,5,4,6,7,8,9,10] => [4,6]
[1,2,3,5,4,6,7,9,8,10] => [4,4,2]
[1,2,3,5,4,7,6,8,9,10] => [4,2,4]
[1,2,3,5,4,7,6,9,8,10] => [4,2,2,2]
[1,2,3,5,4,8,7,10,6,9] => [4,2,2,2]
[1,2,3,6,5,8,4,7,9,10] => [4,2,4]
[1,2,3,6,5,9,8,10,4,7] => [4,2,2,2]
[1,2,3,6,5,9,4,8,7,10] => [4,2,2,2]
[1,2,3,7,6,10,4,8,5,9] => [4,2,2,2]
[1,3,2,4,5,6,7,9,8,10] => [2,6,2]
[1,3,2,4,5,7,6,8,9,10] => [2,4,4]
[1,3,2,4,5,7,6,9,8,10] => [2,4,2,2]
[1,3,2,4,5,8,7,10,6,9] => [2,4,2,2]
[1,3,2,5,4,6,7,8,9,10] => [2,2,6]
[1,3,2,5,4,6,7,9,8,10] => [2,2,4,2]
[1,3,2,5,4,7,6,8,9,10] => [2,2,2,4]
[1,3,2,5,4,8,7,10,6,9] => [2,2,2,2,2]
[1,3,2,6,5,8,4,7,9,10] => [2,2,2,4]
[1,3,2,6,5,9,8,10,4,7] => [2,2,2,2,2]
[1,3,2,6,5,9,4,8,7,10] => [2,2,2,2,2]
[1,3,2,7,6,10,4,8,5,9] => [2,2,2,2,2]
[1,4,3,6,2,5,7,8,9,10] => [2,2,6]
[1,4,3,6,2,5,7,9,8,10] => [2,2,4,2]
[1,4,3,7,6,8,2,5,9,10] => [2,2,2,4]
[1,4,3,7,6,9,8,10,2,5] => [2,2,2,2,2]
[1,4,3,8,7,10,2,5,6,9] => [2,2,2,4]
[1,4,3,7,2,6,5,8,9,10] => [2,2,2,4]
[1,4,3,7,2,6,5,9,8,10] => [2,2,2,2,2]
[1,4,3,8,7,10,2,6,5,9] => [2,2,2,2,2]
[1,4,3,8,5,9,2,7,6,10] => [2,2,2,2,2]
[1,5,4,8,2,6,3,7,9,10] => [2,2,2,4]
[1,5,4,9,8,10,2,6,3,7] => [2,2,2,2,2]
[1,5,4,9,2,6,3,8,7,10] => [2,2,2,2,2]
[1,5,4,9,2,7,6,10,3,8] => [2,2,2,2,2]
[1,6,5,10,2,7,4,9,3,8] => [2,2,2,2,2]
[10,9,8,4,5,6,7,3,2,1] => [1,1,1,4,1,1,1]
[1,8,9,10,2,3,4,5,6,7] => [4,6]
[1,5,6,7,8,9,10,2,3,4] => [7,3]
[4,3,1,2,5,6,7,8,9,10] => [1,1,8]
[6,3,7,1,2,4,5,8,9,10] => [1,2,7]
[5,4,3,1,2,6,7,8,9,10] => [1,1,1,7]
[8,3,9,10,1,2,4,5,6,7] => [1,3,6]
[7,8,5,6,1,2,3,4,9,10] => [2,2,6]
[7,4,3,8,1,2,5,6,9,10] => [1,1,2,6]
[6,5,4,3,1,2,7,8,9,10] => [1,1,1,1,6]
[9,10,5,6,1,2,3,4,7,8] => [2,2,6]
[9,4,3,10,1,2,5,6,7,8] => [1,1,2,6]
[8,6,9,3,7,1,2,4,5,10] => [1,2,2,5]
[8,5,4,3,9,1,2,6,7,10] => [1,1,1,2,5]
[7,6,5,4,3,1,2,8,9,10] => [1,1,1,1,1,5]
[10,6,3,7,1,2,4,5,8,9] => [1,1,2,6]
[10,5,4,3,1,2,6,7,8,9] => [1,1,1,1,6]
[9,7,4,10,3,8,1,2,5,6] => [1,1,2,2,4]
[9,6,5,4,3,10,1,2,7,8] => [1,1,1,1,2,4]
[8,7,6,5,4,3,1,2,9,10] => [1,1,1,1,1,1,4]
[10,8,6,9,3,7,1,2,4,5] => [1,1,2,2,4]
[10,8,5,4,3,9,1,2,6,7] => [1,1,1,1,2,4]
[10,7,6,5,4,3,1,2,8,9] => [1,1,1,1,1,1,4]
[1,3,4,5,6,7,10,2,8,9] => [7,3]
[1,3,4,5,6,10,2,7,8,9] => [6,4]
[1,3,4,5,10,2,6,7,8,9] => [5,5]
[1,3,4,10,2,5,6,7,8,9] => [4,6]
[2,3,4,5,6,7,10,9,1,8] => [7,1,2]
[2,3,4,5,6,10,8,9,1,7] => [6,2,2]
[2,3,4,5,6,10,8,1,9,7] => [6,1,2,1]
[2,3,4,5,6,10,8,1,7,9] => [6,1,3]
[2,3,4,5,6,10,1,7,8,9] => [6,4]
[2,3,4,5,10,7,8,9,1,6] => [5,3,2]
[2,3,4,5,10,7,8,1,9,6] => [5,2,2,1]
[2,3,4,5,10,7,8,1,6,9] => [5,2,3]
[2,3,4,5,10,7,1,9,6,8] => [5,1,2,2]
[2,3,4,5,10,7,1,6,8,9] => [5,1,4]
[2,3,4,5,10,1,6,7,8,9] => [5,5]
[2,3,4,10,6,7,8,1,9,5] => [4,3,2,1]
[2,3,4,10,6,7,8,1,5,9] => [4,3,3]
[2,3,4,10,6,7,1,8,9,5] => [4,2,3,1]
[2,3,4,10,6,7,1,9,5,8] => [4,2,2,2]
[2,3,4,10,6,7,1,5,8,9] => [4,2,4]
[2,3,4,10,6,1,8,5,9,7] => [4,1,2,2,1]
[2,3,4,10,6,1,8,5,7,9] => [4,1,2,3]
[2,3,4,10,6,1,5,7,8,9] => [4,1,5]
[2,3,4,10,1,5,6,7,8,9] => [4,6]
[2,3,10,5,6,1,8,9,4,7] => [3,2,3,2]
[2,3,10,5,6,1,8,4,9,7] => [3,2,2,2,1]
[2,3,10,5,6,1,8,4,7,9] => [3,2,2,3]
[2,3,10,5,6,1,4,7,8,9] => [3,2,5]
[2,3,10,5,1,7,4,9,6,8] => [3,1,2,2,2]
[2,3,10,5,1,7,4,6,8,9] => [3,1,2,4]
[2,3,10,5,1,4,6,7,8,9] => [3,1,6]
[2,10,4,1,6,3,8,5,9,7] => [2,1,2,2,2,1]
[2,10,4,1,6,3,8,5,7,9] => [2,1,2,2,3]
[2,10,4,1,6,3,5,7,8,9] => [2,1,2,5]
[2,10,4,1,3,5,6,7,8,9] => [2,1,7]
[3,4,5,6,7,8,10,1,2,9] => [7,3]
[3,4,5,6,7,9,10,1,2,8] => [7,3]
[3,4,5,6,8,9,10,1,2,7] => [7,3]
[3,4,5,7,8,9,10,1,2,6] => [7,3]
[3,4,6,7,8,9,10,1,2,5] => [7,3]
[3,5,6,7,8,9,10,1,2,4] => [7,3]
[3,4,5,6,7,8,1,2,9,10] => [6,4]
[3,4,5,6,7,1,10,2,8,9] => [5,2,3]
[3,4,5,6,1,9,10,2,7,8] => [4,3,3]
[3,4,5,1,8,9,10,2,6,7] => [3,4,3]
[3,4,1,7,8,9,10,2,5,6] => [2,5,3]
[3,1,6,7,8,9,10,2,4,5] => [1,6,3]
[3,5,1,7,2,9,4,8,6,10] => [2,2,2,2,2]
[3,5,1,7,2,6,4,9,8,10] => [2,2,2,2,2]
[3,5,1,4,2,7,6,9,8,10] => [2,2,2,2,2]
[8,9,10,1,5,6,7,3,4,2] => [3,4,2,1]
[8,9,10,5,6,7,1,3,4,2] => [3,3,3,1]
[8,9,10,1,5,6,3,4,7,2] => [3,3,3,1]
[8,9,10,5,6,1,3,4,7,2] => [3,2,4,1]
[8,9,10,5,6,3,4,7,1,2] => [3,2,3,2]
[8,9,5,6,10,1,3,4,7,2] => [2,3,4,1]
[8,9,5,6,10,3,4,7,1,2] => [2,3,3,2]
[8,9,10,1,5,6,7,3,2,4] => [3,4,1,2]
[8,9,10,5,6,7,1,3,2,4] => [3,3,2,2]
[8,9,10,1,5,6,3,7,2,4] => [3,3,2,2]
[8,9,10,5,6,1,3,7,2,4] => [3,2,3,2]
[8,9,10,5,6,3,7,1,2,4] => [3,2,2,3]
[8,9,5,6,10,1,3,7,2,4] => [2,3,3,2]
[8,9,5,6,10,3,7,1,2,4] => [2,3,2,3]
[8,9,10,1,5,6,3,2,4,7] => [3,3,1,3]
[8,9,10,5,6,1,3,2,4,7] => [3,2,2,3]
[8,9,10,5,6,3,1,2,4,7] => [3,2,1,4]
[8,9,10,5,6,3,2,4,7,1] => [3,2,1,3,1]
[8,9,5,6,10,1,3,2,4,7] => [2,3,2,3]
[8,9,5,6,10,3,1,2,4,7] => [2,3,1,4]
[8,9,5,6,10,3,2,4,7,1] => [2,3,1,3,1]
[8,9,10,1,5,3,6,7,2,4] => [3,2,3,2]
[8,9,10,5,1,3,6,7,2,4] => [3,1,4,2]
[8,9,10,5,3,6,7,1,2,4] => [3,1,3,3]
[8,9,5,10,1,3,6,7,2,4] => [2,2,4,2]
[8,9,5,10,3,6,7,1,2,4] => [2,2,3,3]
[8,9,10,1,5,3,6,2,4,7] => [3,2,2,3]
[8,9,10,5,1,3,6,2,4,7] => [3,1,3,3]
[8,9,10,5,3,6,1,2,4,7] => [3,1,2,4]
[8,9,10,5,3,6,2,4,7,1] => [3,1,2,3,1]
[8,9,5,10,1,3,6,2,4,7] => [2,2,3,3]
[8,9,5,10,3,6,1,2,4,7] => [2,2,2,4]
[8,9,5,10,3,6,2,4,7,1] => [2,2,2,3,1]
[8,9,5,3,6,10,1,2,4,7] => [2,1,3,4]
[8,9,5,3,6,10,2,4,7,1] => [2,1,3,3,1]
[8,5,9,10,1,3,6,7,2,4] => [1,3,4,2]
[8,5,9,10,3,6,7,1,2,4] => [1,3,3,3]
[8,5,9,10,1,3,6,2,4,7] => [1,3,3,3]
[8,5,9,10,3,6,1,2,4,7] => [1,3,2,4]
[8,5,9,10,3,6,2,4,7,1] => [1,3,2,3,1]
[10,1,9,5,6,7,8,2,3,4] => [1,2,4,3]
[9,1,10,8,6,7,2,3,4,5] => [1,2,1,2,4]
[8,1,9,10,7,2,3,4,5,6] => [1,3,1,5]
[10,1,8,9,2,3,4,5,6,7] => [1,3,6]
[3,1,10,9,6,7,8,2,4,5] => [1,2,1,3,3]
[3,1,9,10,8,7,2,4,5,6] => [1,3,1,1,4]
[3,1,8,9,10,2,4,5,6,7] => [1,4,5]
[10,2,3,4,5,6,7,9,8,1] => [1,7,1,1]
[10,2,3,4,5,6,9,8,7,1] => [1,6,1,1,1]
[10,2,3,4,5,9,7,8,6,1] => [1,5,2,1,1]
[10,2,3,4,9,6,7,8,5,1] => [1,4,3,1,1]
[10,2,3,9,5,6,7,8,4,1] => [1,3,4,1,1]
[10,2,9,4,5,6,7,8,3,1] => [1,2,5,1,1]
[8,2,3,4,5,10,9,1,7,6] => [1,5,1,2,1]
[7,2,3,4,10,9,1,8,6,5] => [1,4,1,2,1,1]
[6,2,3,10,9,1,7,8,5,4] => [1,3,1,3,1,1]
[5,2,10,9,1,6,7,8,4,3] => [1,2,1,4,1,1]
[4,10,9,1,5,6,7,8,3,2] => [2,1,5,1,1]
[4,2,5,1,6,3,8,7,10,9] => [1,2,2,2,2,1]
[4,2,6,1,7,3,8,5,10,9] => [1,2,2,2,2,1]
[4,2,6,1,8,3,9,5,10,7] => [1,2,2,2,2,1]
[4,2,6,1,8,3,9,5,7,10] => [1,2,2,2,3]
[4,2,6,1,7,3,5,9,8,10] => [1,2,2,3,2]
[4,2,5,1,3,7,6,9,8,10] => [1,2,3,2,2]
[8,7,6,5,4,3,1,2,10,9] => [1,1,1,1,1,1,3,1]
[10,9,8,7,6,5,4,2,3,1] => [1,1,1,1,1,1,1,2,1]
[2,3,4,5,9,7,8,10,6,1] => [5,3,1,1]
[2,3,4,9,6,7,8,10,1,5] => [4,4,2]
[2,3,9,5,6,7,8,10,4,1] => [3,5,1,1]
[2,9,4,5,6,7,8,10,3,1] => [2,6,1,1]
[9,3,4,5,6,7,8,10,1,2] => [1,7,2]
[2,3,4,5,6,8,10,1,9,7] => [7,2,1]
[2,3,4,5,7,8,1,10,6,9] => [6,2,2]
[2,3,4,6,7,1,8,10,5,9] => [5,3,2]
[2,3,5,6,1,7,8,10,9,4] => [4,4,1,1]
[2,4,5,1,6,7,8,10,3,9] => [3,5,2]
[3,4,1,5,6,7,8,10,2,9] => [2,6,2]
[3,2,4,5,6,7,8,10,9,1] => [1,7,1,1]
[8,10,6,9,4,7,2,5,3,1] => [2,2,2,2,1,1]
[8,10,6,9,4,7,5,2,3,1] => [2,2,2,1,2,1]
[8,10,6,9,7,4,5,2,3,1] => [2,2,1,2,2,1]
[8,10,9,6,7,4,5,2,3,1] => [2,1,2,2,2,1]
[1,3,5,2,7,4,6,9,8,10] => [3,2,3,2]
[1,3,5,2,7,4,9,6,8,10] => [3,2,2,3]
[1,3,5,2,7,4,9,6,10,8] => [3,2,2,2,1]
[1,3,5,2,7,4,8,6,10,9] => [3,2,2,2,1]
[1,3,5,2,6,4,8,7,10,9] => [3,2,2,2,1]
[1,3,5,7,2,4,6,9,8,10] => [4,4,2]
[1,3,5,2,7,9,4,6,8,10] => [3,3,4]
[1,3,5,2,7,4,9,10,6,8] => [3,2,3,2]
[1,3,5,2,7,4,8,6,9,10] => [3,2,2,3]
[1,3,5,2,6,4,9,7,10,8] => [3,2,2,2,1]
[1,3,4,2,7,5,8,6,10,9] => [3,2,2,2,1]
[1,2,5,3,6,4,8,7,10,9] => [3,2,2,2,1]
[2,4,1,5,3,6,7,8,9,10] => [2,2,6]
[5,6,2,1,3,7,4,8,9,10] => [2,1,3,4]
[3,2,5,1,6,4,7,8,9,10] => [1,2,2,5]
[6,7,2,1,8,3,4,9,5,10] => [2,1,2,3,2]
[3,6,4,1,7,2,8,5,9,10] => [2,1,2,2,3]
[3,6,7,2,1,4,8,5,9,10] => [3,1,3,3]
[4,2,6,1,7,5,3,8,9,10] => [1,2,2,1,4]
[4,3,2,6,1,7,5,8,9,10] => [1,1,2,2,4]
[3,4,7,1,8,2,9,5,10,6] => [3,2,2,2,1]
[7,8,9,3,2,1,4,5,10,6] => [3,1,1,4,1]
[4,7,2,5,1,8,3,9,6,10] => [2,2,2,2,2]
[4,3,7,8,2,1,5,9,6,10] => [1,3,1,3,2]
[3,5,2,7,1,8,6,4,9,10] => [2,2,2,1,3]
[5,4,3,2,7,1,8,6,9,10] => [1,1,1,2,2,3]
[5,8,9,2,1,6,3,10,7,4] => [3,1,2,2,1,1]
[5,3,8,6,4,1,9,2,10,7] => [1,2,1,1,2,2,1]
[3,5,8,2,6,1,9,4,10,7] => [3,2,2,2,1]
[5,4,3,8,9,2,1,6,10,7] => [1,1,3,1,3,1]
[6,4,2,8,1,9,7,5,3,10] => [1,1,2,2,1,1,2]
[4,3,6,2,8,1,9,7,5,10] => [1,2,2,2,1,2]
[6,5,4,3,2,8,1,9,7,10] => [1,1,1,1,2,2,2]
[5,3,7,2,9,1,10,8,6,4] => [1,2,2,2,1,1,1]
[5,4,3,7,2,9,1,10,8,6] => [1,1,2,2,2,1,1]
[7,6,5,4,3,2,9,1,10,8] => [1,1,1,1,1,2,2,1]
[1,9,8,10,7,6,5,4,3,2] => [2,2,1,1,1,1,1,1]
[2,1,10,3,4,5,6,7,8,9] => [1,2,7]
[3,1,2,10,4,5,6,7,8,9] => [1,3,6]
[4,1,2,3,10,5,6,7,8,9] => [1,4,5]
[5,1,2,3,4,10,6,7,8,9] => [1,5,4]
[6,1,2,3,4,5,10,7,8,9] => [1,6,3]
[7,1,2,3,4,5,6,10,8,9] => [1,7,2]
[10,8,6,4,2,9,7,5,3,1] => [1,1,1,1,2,1,1,1,1]
[10,7,4,1,8,5,2,9,6,3] => [1,1,1,2,1,2,1,1]
[9,6,3,8,5,2,10,7,4,1] => [1,1,2,1,2,1,1,1]
[9,5,1,7,3,10,6,2,8,4] => [1,1,2,2,1,2,1]
[10,6,2,7,3,8,4,9,5,1] => [1,1,2,2,2,1,1]
[7,3,8,4,10,6,2,9,5,1] => [1,2,2,1,2,1,1]
[8,4,7,3,10,6,2,9,5,1] => [1,2,2,1,2,1,1]
[10,5,8,3,6,1,9,4,7,2] => [1,2,2,2,2,1]
[9,4,7,2,10,5,8,3,6,1] => [1,2,2,2,2,1]
[10,5,7,2,8,3,9,4,6,1] => [1,2,2,2,2,1]
[8,3,10,5,7,2,9,4,6,1] => [1,2,2,2,2,1]
[8,3,9,4,7,2,10,5,6,1] => [1,2,2,2,2,1]
[9,3,5,7,1,10,4,6,8,2] => [1,3,2,3,1]
[10,4,6,8,2,9,3,5,7,1] => [1,3,2,3,1]
[10,4,5,6,7,1,8,2,9,3] => [1,4,2,2,1]
[8,2,9,3,10,4,5,6,7,1] => [1,2,2,4,1]
[9,3,8,2,10,4,5,6,7,1] => [1,2,2,4,1]
[5,6,9,3,7,1,10,4,8,2] => [3,2,2,2,1]
[5,6,10,4,8,2,9,3,7,1] => [3,2,2,2,1]
[5,6,9,3,8,2,10,4,7,1] => [3,2,2,2,1]
[6,5,9,3,8,2,10,4,7,1] => [1,2,2,2,2,1]
[9,2,7,6,5,4,10,3,8,1] => [1,2,1,1,2,2,1]
[10,3,7,6,5,4,8,1,9,2] => [1,2,1,1,2,2,1]
[9,2,10,3,7,6,5,4,8,1] => [1,2,2,1,1,2,1]
[7,6,5,4,9,2,10,3,8,1] => [1,1,1,2,2,2,1]
[6,4,7,5,10,3,9,2,8,1] => [1,2,2,2,2,1]
[6,4,7,5,9,2,10,3,8,1] => [1,2,2,2,2,1]
[7,5,6,4,9,2,10,3,8,1] => [1,2,2,2,2,1]
[6,5,7,4,9,2,10,3,8,1] => [1,2,2,2,2,1]
[5,6,7,3,8,4,9,1,10,2] => [3,2,2,2,1]
[5,6,7,3,8,4,10,2,9,1] => [3,2,2,2,1]
[5,6,8,4,7,3,10,2,9,1] => [3,2,2,2,1]
[6,5,8,4,7,3,10,2,9,1] => [1,2,2,2,2,1]
[4,2,5,6,7,8,9,10,1,3] => [1,7,2]
[1,5,6,7,8,9,10,3,4,2] => [7,2,1]
[1,3,6,7,8,9,10,2,5,4] => [7,2,1]
[3,1,6,7,8,9,10,4,5,2] => [1,6,2,1]
[9,4,5,6,7,8,2,1,10,3] => [1,5,1,2,1]
[4,2,1,7,8,9,10,3,6,5] => [1,1,5,2,1]
[10,2,5,6,7,8,9,3,1,4] => [1,6,1,2]
[7,1,2,3,9,5,6,10,8,4] => [1,4,3,1,1]
[6,1,2,9,4,5,3,10,8,7] => [1,3,2,2,1,1]
[9,1,2,3,8,5,10,7,6,4] => [1,4,2,1,1,1]
[9,1,2,8,4,3,10,7,5,6] => [1,3,1,2,1,2]
[8,1,2,7,4,10,6,5,3,9] => [1,3,2,1,1,2]
[9,1,8,3,2,5,10,7,4,6] => [1,2,1,3,1,2]
[8,1,7,3,2,10,6,4,5,9] => [1,2,1,2,1,3]
[7,1,2,3,10,5,6,9,8,4] => [1,4,3,1,1]
[6,1,2,10,4,5,3,9,8,7] => [1,3,2,2,1,1]
[8,1,2,3,10,5,9,6,7,4] => [1,4,2,2,1]
[8,1,2,10,4,3,9,5,7,6] => [1,3,1,2,2,1]
[7,1,2,10,4,9,5,3,6,8] => [1,3,2,1,3]
[8,1,10,3,2,5,9,4,7,6] => [1,2,1,3,2,1]
[7,1,10,3,2,9,4,5,6,8] => [1,2,1,2,4]
[10,1,2,3,9,5,8,7,6,4] => [1,4,2,1,1,1]
[10,1,2,9,4,3,8,7,5,6] => [1,3,1,2,1,2]
[10,1,2,9,4,8,3,6,5,7] => [1,3,2,2,2]
[9,1,2,8,4,7,6,5,3,10] => [1,3,2,1,1,2]
[10,1,9,3,2,5,8,7,4,6] => [1,2,1,3,1,2]
[10,1,9,3,2,8,5,6,4,7] => [1,2,1,2,2,2]
[9,1,8,3,2,7,6,4,5,10] => [1,2,1,2,1,3]
[8,1,2,3,10,9,5,7,6,4] => [1,4,1,2,1,1]
[8,1,2,10,3,9,4,7,6,5] => [1,3,2,2,1,1]
[7,1,2,10,9,4,6,3,5,8] => [1,3,1,2,3]
[8,1,10,2,4,9,3,7,6,5] => [1,2,3,2,1,1]
[7,1,10,2,9,3,6,4,5,8] => [1,2,2,2,3]
[10,1,2,3,9,8,5,6,7,4] => [1,4,1,3,1]
[10,1,2,9,3,8,4,6,7,5] => [1,3,2,3,1]
[10,1,2,9,8,4,3,5,6,7] => [1,3,1,1,4]
[9,1,2,8,7,4,5,6,3,10] => [1,3,1,3,2]
[10,1,9,2,4,8,3,6,7,5] => [1,2,3,3,1]
[10,1,9,2,8,3,4,5,6,7] => [1,2,2,5]
[9,1,8,2,7,3,5,6,4,10] => [1,2,2,3,2]
[10,1,9,8,3,2,6,4,5,7] => [1,2,1,1,2,3]
[9,1,8,7,3,2,4,5,6,10] => [1,2,1,1,5]
[8,10,1,3,4,9,2,7,6,5] => [2,4,2,1,1]
[7,10,1,3,9,2,6,4,5,8] => [2,3,2,3]
[10,9,1,3,4,8,2,6,7,5] => [1,1,4,3,1]
[10,9,1,3,8,2,4,5,6,7] => [1,1,3,5]
[9,8,1,3,7,2,5,6,4,10] => [1,1,3,3,2]
[10,9,1,8,2,3,6,4,5,7] => [1,1,2,3,3]
[9,8,1,7,2,3,4,5,6,10] => [1,1,2,6]
[7,8,10,1,2,3,4,5,6,9] => [3,7]
[6,7,8,10,1,2,3,4,5,9] => [4,6]
[4,5,6,7,8,10,1,2,3,9] => [6,4]
[1,6,7,5,8,4,9,3,10,2] => [3,2,2,2,1]
[5,6,4,7,3,9,2,8,1,10] => [2,2,2,2,2]
[1,6,7,5,8,4,10,3,9,2] => [3,2,2,2,1]
[1,2,3,4,5,6,8,10,7,9] => [8,2]
[1,2,3,4,5,7,9,6,8,10] => [7,3]
[1,2,3,4,6,8,10,5,7,9] => [7,3]
[1,2,3,5,7,9,4,6,8,10] => [6,4]
[1,2,4,6,8,10,3,5,7,9] => [6,4]
[1,3,5,7,9,2,4,6,8,10] => [5,5]
[3,4,5,6,7,8,9,2,1,10] => [7,1,2]
[5,6,7,9,8,1,2,3,4,10] => [4,1,5]
[1,6,7,8,10,9,2,3,4,5] => [5,1,4]
[8,9,10,4,5,6,2,3,1,7] => [3,3,2,2]
[8,9,4,5,6,10,2,3,1,7] => [2,4,2,2]
[8,9,10,4,5,2,3,6,1,7] => [3,2,3,2]
[8,9,4,5,10,2,3,6,1,7] => [2,3,3,2]
[8,9,4,5,2,3,6,10,1,7] => [2,2,4,2]
[8,4,5,9,10,2,3,6,1,7] => [1,4,3,2]
[8,4,5,9,2,3,6,10,1,7] => [1,3,4,2]
[8,9,10,4,5,6,2,1,3,7] => [3,3,1,3]
[8,9,4,5,6,10,2,1,3,7] => [2,4,1,3]
[8,9,10,4,5,2,6,1,3,7] => [3,2,2,3]
[8,9,4,5,10,2,6,1,3,7] => [2,3,2,3]
[8,9,4,5,2,6,10,1,3,7] => [2,2,3,3]
[8,4,5,9,10,2,6,1,3,7] => [1,4,2,3]
[8,4,5,9,2,6,10,1,3,7] => [1,3,3,3]
[8,9,10,4,5,2,1,3,6,7] => [3,2,1,4]
[8,9,4,5,10,2,1,3,6,7] => [2,3,1,4]
[8,9,4,5,2,10,1,3,6,7] => [2,2,2,4]
[8,9,4,5,2,1,3,6,10,7] => [2,2,1,4,1]
[8,4,5,9,10,2,1,3,6,7] => [1,4,1,4]
[8,4,5,9,2,10,1,3,6,7] => [1,3,2,4]
[8,4,5,9,2,1,3,6,10,7] => [1,3,1,4,1]
[8,9,10,4,2,5,6,1,3,7] => [3,1,3,3]
[8,9,4,10,2,5,6,1,3,7] => [2,2,3,3]
[8,9,4,2,5,6,10,1,3,7] => [2,1,4,3]
[8,4,9,10,2,5,6,1,3,7] => [1,3,3,3]
[8,4,9,2,5,6,10,1,3,7] => [1,2,4,3]
[8,9,10,4,2,5,1,3,6,7] => [3,1,2,4]
[8,9,4,10,2,5,1,3,6,7] => [2,2,2,4]
[8,9,4,2,5,10,1,3,6,7] => [2,1,3,4]
[8,9,4,2,5,1,3,6,10,7] => [2,1,2,4,1]
[8,4,9,10,2,5,1,3,6,7] => [1,3,2,4]
[8,4,9,2,5,1,3,6,10,7] => [1,2,2,4,1]
[8,4,2,5,9,10,1,3,6,7] => [1,1,4,4]
[8,4,2,5,9,1,3,6,10,7] => [1,1,3,4,1]
[4,8,9,10,2,5,6,1,3,7] => [4,3,3]
[4,8,9,2,5,6,10,1,3,7] => [3,4,3]
[4,8,9,10,2,5,1,3,6,7] => [4,2,4]
[4,8,9,2,5,10,1,3,6,7] => [3,3,4]
[4,8,9,2,5,1,3,6,10,7] => [3,2,4,1]
[4,8,2,5,9,10,1,3,6,7] => [2,4,4]
[4,8,2,5,9,1,3,6,10,7] => [2,3,4,1]
[6,5,3,1,2,4,8,7,10,9] => [1,1,1,4,2,1]
[8,7,5,3,1,2,4,6,10,9] => [1,1,1,1,5,1]
[10,9,7,5,3,1,2,4,6,8] => [1,1,1,1,1,5]
[7,5,3,1,2,4,6,9,8,10] => [1,1,1,5,2]
[5,3,1,2,4,7,6,9,8,10] => [1,1,4,2,2]
[2,1,4,3,6,5,9,7,10,8] => [1,2,2,2,2,1]
[2,1,4,3,7,5,8,6,10,9] => [1,2,2,2,2,1]
[2,1,4,3,7,5,9,6,10,8] => [1,2,2,2,2,1]
[2,1,4,3,8,5,9,6,10,7] => [1,2,2,2,2,1]
[2,1,5,3,6,4,8,7,10,9] => [1,2,2,2,2,1]
[2,1,5,3,6,4,9,7,10,8] => [1,2,2,2,2,1]
[2,1,5,3,7,4,8,6,10,9] => [1,2,2,2,2,1]
[2,1,5,3,7,4,9,6,10,8] => [1,2,2,2,2,1]
[2,1,5,3,8,4,9,6,10,7] => [1,2,2,2,2,1]
[2,1,6,3,7,4,8,5,10,9] => [1,2,2,2,2,1]
[2,1,6,3,7,4,9,5,10,8] => [1,2,2,2,2,1]
[2,1,6,3,8,4,9,5,10,7] => [1,2,2,2,2,1]
[2,1,7,3,8,4,9,5,10,6] => [1,2,2,2,2,1]
[3,1,4,2,6,5,9,7,10,8] => [1,2,2,2,2,1]
[3,1,4,2,7,5,8,6,10,9] => [1,2,2,2,2,1]
[3,1,4,2,7,5,9,6,10,8] => [1,2,2,2,2,1]
[3,1,4,2,8,5,9,6,10,7] => [1,2,2,2,2,1]
[3,1,5,2,6,4,9,7,10,8] => [1,2,2,2,2,1]
[3,1,5,2,8,4,9,6,10,7] => [1,2,2,2,2,1]
[3,1,6,2,7,4,8,5,10,9] => [1,2,2,2,2,1]
[3,1,6,2,7,4,9,5,10,8] => [1,2,2,2,2,1]
[3,1,6,2,8,4,9,5,10,7] => [1,2,2,2,2,1]
[3,1,7,2,8,4,9,5,10,6] => [1,2,2,2,2,1]
[4,1,5,2,6,3,9,7,10,8] => [1,2,2,2,2,1]
[4,1,5,2,7,3,8,6,10,9] => [1,2,2,2,2,1]
[4,1,5,2,7,3,9,6,10,8] => [1,2,2,2,2,1]
[4,1,5,2,8,3,9,6,10,7] => [1,2,2,2,2,1]
[4,1,6,2,7,3,8,5,10,9] => [1,2,2,2,2,1]
[4,1,6,2,7,3,9,5,10,8] => [1,2,2,2,2,1]
[4,1,6,2,8,3,9,5,10,7] => [1,2,2,2,2,1]
[4,1,7,2,8,3,9,5,10,6] => [1,2,2,2,2,1]
[5,1,6,2,7,3,9,4,10,8] => [1,2,2,2,2,1]
[5,1,6,2,8,3,9,4,10,7] => [1,2,2,2,2,1]
[5,1,7,2,8,3,9,4,10,6] => [1,2,2,2,2,1]
[10,3,9,8,7,6,5,1,4,2] => [1,2,1,1,1,1,2,1]
[2,10,9,8,7,6,5,1,4,3] => [2,1,1,1,1,1,2,1]
[8,3,10,9,7,6,1,5,4,2] => [1,2,1,1,1,2,1,1]
[1,2,10,3,9,4,8,5,7,6] => [3,2,2,2,1]
[1,8,2,9,3,7,4,6,5,10] => [2,2,2,2,2]
[1,2,9,3,10,4,8,5,7,6] => [3,2,2,2,1]
[9,3,4,5,6,7,1,2,10,8] => [1,5,3,1]
[2,9,4,5,6,7,1,3,10,8] => [2,4,3,1]
[7,3,4,5,6,1,9,2,10,8] => [1,4,2,2,1]
[1,7,2,8,3,9,4,10,5,6] => [2,2,2,2,2]
[1,7,2,8,3,9,10,4,5,6] => [2,2,3,3]
[1,7,2,8,9,3,4,10,5,6] => [2,3,3,2]
[1,7,2,8,9,3,10,4,5,6] => [2,3,2,3]
[1,7,2,8,9,10,3,4,5,6] => [2,4,4]
[1,7,8,2,3,9,4,10,5,6] => [3,3,2,2]
[1,7,8,2,3,9,10,4,5,6] => [3,4,3]
[1,7,8,2,9,3,4,10,5,6] => [3,2,3,2]
[1,7,8,2,9,3,10,4,5,6] => [3,2,2,3]
[1,7,8,2,9,10,3,4,5,6] => [3,3,4]
[1,7,8,9,2,3,4,10,5,6] => [4,4,2]
[1,7,8,9,2,3,10,4,5,6] => [4,3,3]
[1,7,8,9,2,10,3,4,5,6] => [4,2,4]
[7,1,2,8,3,9,4,10,5,6] => [1,3,2,2,2]
[7,1,2,8,3,9,10,4,5,6] => [1,3,3,3]
[7,1,2,8,9,3,4,10,5,6] => [1,4,3,2]
[7,1,2,8,9,3,10,4,5,6] => [1,4,2,3]
[7,1,2,8,9,10,3,4,5,6] => [1,5,4]
[7,1,8,2,3,9,4,10,5,6] => [1,2,3,2,2]
[7,1,8,2,3,9,10,4,5,6] => [1,2,4,3]
[7,1,8,2,9,3,4,10,5,6] => [1,2,2,3,2]
[7,1,8,2,9,10,3,4,5,6] => [1,2,3,4]
[7,1,8,9,2,3,4,10,5,6] => [1,3,4,2]
[7,1,8,9,2,3,10,4,5,6] => [1,3,3,3]
[7,1,8,9,2,10,3,4,5,6] => [1,3,2,4]
[7,1,8,9,10,2,3,4,5,6] => [1,4,5]
[7,8,1,2,3,9,4,10,5,6] => [2,4,2,2]
[7,8,1,2,3,9,10,4,5,6] => [2,5,3]
[7,8,1,2,9,3,4,10,5,6] => [2,3,3,2]
[7,8,1,2,9,3,10,4,5,6] => [2,3,2,3]
[7,8,1,2,9,10,3,4,5,6] => [2,4,4]
[7,8,1,9,2,3,4,10,5,6] => [2,2,4,2]
[7,8,1,9,2,3,10,4,5,6] => [2,2,3,3]
[7,8,1,9,2,10,3,4,5,6] => [2,2,2,4]
[7,8,1,9,10,2,3,4,5,6] => [2,3,5]
[7,8,9,1,2,3,4,10,5,6] => [3,5,2]
[7,8,9,1,2,3,10,4,5,6] => [3,4,3]
[7,8,9,1,2,10,3,4,5,6] => [3,3,4]
[7,8,9,1,10,2,3,4,5,6] => [3,2,5]
[6,7,3,1,8,2,4,9,5,10] => [2,1,2,3,2]
[2,6,7,3,1,4,8,5,9,10] => [3,1,3,3]
[7,8,2,4,1,9,3,5,10,6] => [2,2,2,3,1]
[3,2,7,8,4,1,5,9,6,10] => [1,3,1,3,2]
[2,8,9,5,1,6,3,10,7,4] => [3,1,2,2,1,1]
[8,3,2,5,6,1,9,4,10,7] => [1,1,3,2,2,1]
[4,3,2,8,9,5,1,6,10,7] => [1,1,3,1,3,1]
[1,8,9,10,7,6,5,4,3,2] => [4,1,1,1,1,1,1]
[1,7,8,9,10,6,5,4,3,2] => [5,1,1,1,1,1]
[1,6,7,8,9,10,5,4,3,2] => [6,1,1,1,1]
[1,5,6,7,8,9,10,4,3,2] => [7,1,1,1]
[1,4,5,6,7,8,9,10,3,2] => [8,1,1]
[7,2,8,9,10,1,3,4,5,6] => [1,4,5]
[10,9,8,6,2,7,1,3,4,5] => [1,1,1,1,2,4]
[9,10,6,4,2,1,3,5,8,7] => [2,1,1,1,4,1]
[10,7,8,4,2,1,3,6,5,9] => [1,2,1,1,3,2]
[9,7,10,4,2,1,3,6,8,5] => [1,2,1,1,4,1]
[8,9,10,4,2,1,3,7,6,5] => [3,1,1,3,1,1]
[10,8,5,6,2,1,4,3,7,9] => [1,1,2,1,2,3]
[9,10,5,6,2,1,4,3,8,7] => [2,2,1,2,2,1]
[10,7,5,8,2,1,4,6,3,9] => [1,1,2,1,3,2]
[9,7,5,10,2,1,4,6,8,3] => [1,1,2,1,4,1]
[8,9,5,10,2,1,4,7,6,3] => [2,2,1,3,1,1]
[10,6,7,8,2,1,5,4,3,9] => [1,3,1,2,1,2]
[9,6,7,10,2,1,5,4,8,3] => [1,3,1,2,2,1]
[8,6,9,10,2,1,5,7,4,3] => [1,3,1,3,1,1]
[7,8,9,10,2,1,6,5,4,3] => [4,1,2,1,1,1]
[10,8,6,3,4,2,1,5,7,9] => [1,1,1,2,1,4]
[9,10,6,3,4,2,1,5,8,7] => [2,1,2,1,3,1]
[10,7,8,3,4,2,1,6,5,9] => [1,2,2,1,2,2]
[9,7,10,3,4,2,1,6,8,5] => [1,2,2,1,3,1]
[8,9,10,3,4,2,1,7,6,5] => [3,2,1,2,1,1]
[10,8,5,3,6,2,4,1,7,9] => [1,1,1,2,2,3]
[9,10,5,3,6,2,4,1,8,7] => [2,1,2,2,2,1]
[10,7,5,3,8,2,4,6,1,9] => [1,1,1,2,3,2]
[9,7,5,3,10,2,4,6,8,1] => [1,1,1,2,4,1]
[8,9,5,3,10,2,4,7,6,1] => [2,1,2,3,1,1]
[10,6,7,3,8,2,5,4,1,9] => [1,2,2,2,1,2]
[9,6,7,3,10,2,5,4,8,1] => [1,2,2,2,2,1]
[8,6,9,3,10,2,5,7,4,1] => [1,2,2,3,1,1]
[7,8,9,3,10,2,6,5,4,1] => [3,2,2,1,1,1]
[10,8,4,5,6,3,2,1,7,9] => [1,1,3,1,1,3]
[9,10,4,5,6,3,2,1,8,7] => [2,3,1,1,2,1]
[10,7,4,5,8,3,2,6,1,9] => [1,1,3,1,2,2]
[9,7,4,5,10,3,2,6,8,1] => [1,1,3,1,3,1]
[8,9,4,5,10,3,2,7,6,1] => [2,3,1,2,1,1]
[10,6,4,7,8,3,5,2,1,9] => [1,1,3,2,1,2]
[9,6,4,7,10,3,5,2,8,1] => [1,1,3,2,2,1]
[8,6,4,9,10,3,5,7,2,1] => [1,1,3,3,1,1]
[7,8,4,9,10,3,6,5,2,1] => [2,3,2,1,1,1]
[10,5,6,7,8,4,3,2,1,9] => [1,4,1,1,1,2]
[9,5,6,7,10,4,3,2,8,1] => [1,4,1,1,2,1]
[8,5,6,9,10,4,3,7,2,1] => [1,4,1,2,1,1]
[7,5,8,9,10,4,6,3,2,1] => [1,4,2,1,1,1]
[2,10,4,5,6,7,9,1,3,8] => [2,5,3]
[10,3,4,5,6,7,1,9,2,8] => [1,5,2,2]
[9,4,1,5,6,7,8,2,10,3] => [1,1,5,2,1]
[2,3,10,5,6,7,9,1,4,8] => [3,4,3]
[9,10,4,5,6,7,1,2,3,8] => [2,4,4]
[7,3,4,5,6,1,10,9,2,8] => [1,4,2,1,2]
[4,3,1,10,6,7,8,9,2,5] => [1,1,2,4,2]
[9,10,1,5,6,7,8,2,3,4] => [2,5,3]
[8,4,1,5,6,7,2,9,10,3] => [1,1,4,3,1]
[7,6,5,1,9,2,8,3,10,4] => [1,1,1,2,2,2,1]
[4,5,6,9,1,8,2,10,3,7] => [4,2,2,2]
[9,6,5,1,8,2,7,3,10,4] => [1,1,1,2,2,2,1]
[4,5,9,1,8,2,7,3,10,6] => [3,2,2,2,1]
[4,5,8,1,7,6,2,10,3,9] => [3,2,1,2,2]
[9,3,4,8,1,7,2,5,10,6] => [1,3,2,3,1]
[8,3,4,7,6,1,10,2,5,9] => [1,3,1,2,3]
[7,6,5,1,10,2,8,3,9,4] => [1,1,1,2,2,2,1]
[4,5,6,10,1,8,2,9,3,7] => [4,2,2,2]
[8,6,5,1,10,2,7,3,9,4] => [1,1,1,2,2,2,1]
[4,5,8,1,10,2,7,3,9,6] => [3,2,2,2,1]
[4,5,7,1,10,6,2,9,3,8] => [3,2,1,2,2]
[8,3,4,10,1,7,2,5,9,6] => [1,3,2,3,1]
[7,3,4,10,6,1,9,2,5,8] => [1,3,1,2,3]
[10,6,5,1,9,2,7,3,8,4] => [1,1,1,2,2,2,1]
[4,5,10,1,9,2,7,3,8,6] => [3,2,2,2,1]
[4,5,10,1,9,6,2,8,3,7] => [3,2,1,2,2]
[4,5,9,1,8,6,2,7,3,10] => [3,2,1,2,2]
[10,3,4,9,1,7,2,5,8,6] => [1,3,2,3,1]
[10,3,4,9,6,1,8,2,5,7] => [1,3,1,2,3]
[9,3,4,8,6,1,7,2,5,10] => [1,3,1,2,3]
[8,5,1,7,2,10,6,3,9,4] => [1,1,2,2,1,2,1]
[4,8,1,7,2,10,6,3,9,5] => [2,2,2,1,2,1]
[4,7,6,1,10,5,2,9,3,8] => [2,1,2,1,2,2]
[8,3,7,1,10,6,2,4,9,5] => [1,2,2,1,3,1]
[7,6,3,10,5,1,9,2,4,8] => [1,1,2,1,2,3]
[10,5,1,7,2,9,6,3,8,4] => [1,1,2,2,1,2,1]
[4,10,1,7,2,9,6,3,8,5] => [2,2,2,1,2,1]
[4,10,6,1,9,5,2,8,3,7] => [2,1,2,1,2,2]
[4,9,6,1,8,5,2,7,3,10] => [2,1,2,1,2,2]
[10,3,7,1,9,6,2,4,8,5] => [1,2,2,1,3,1]
[10,6,3,9,5,1,8,2,4,7] => [1,1,2,1,2,3]
[9,6,3,8,5,1,7,2,4,10] => [1,1,2,1,2,3]
[5,10,3,4,1,9,2,8,6,7] => [2,2,2,2,2]
[5,9,3,4,1,8,2,7,6,10] => [2,2,2,2,2]
[8,2,7,1,10,6,3,4,9,5] => [1,2,2,1,3,1]
[7,6,2,10,5,1,9,3,4,8] => [1,1,2,1,2,3]
[10,2,7,1,9,6,3,4,8,5] => [1,2,2,1,3,1]
[10,6,2,9,5,1,8,3,4,7] => [1,1,2,1,2,3]
[9,6,2,8,5,1,7,3,4,10] => [1,1,2,1,2,3]
[5,10,2,4,1,9,3,8,6,7] => [2,2,2,2,2]
[5,9,2,4,1,8,3,7,6,10] => [2,2,2,2,2]
[10,9,8,6,4,2,1,3,5,7] => [1,1,1,1,1,1,4]
[10,8,7,6,4,2,1,3,5,9] => [1,1,1,1,1,1,4]
[10,7,9,6,4,2,1,3,8,5] => [1,2,1,1,1,3,1]
[10,9,8,7,6,4,2,1,3,5] => [1,1,1,1,1,1,1,3]
[10,8,6,5,4,2,1,3,7,9] => [1,1,1,1,1,1,4]
[10,9,8,6,5,4,2,1,3,7] => [1,1,1,1,1,1,1,3]
[10,8,5,7,4,2,1,6,3,9] => [1,1,2,1,1,2,2]
[10,5,9,7,4,2,1,6,8,3] => [1,2,1,1,1,3,1]
[10,9,8,5,7,4,2,1,6,3] => [1,1,1,2,1,1,2,1]
[10,8,7,6,5,4,2,1,3,9] => [1,1,1,1,1,1,1,3]
[10,7,9,6,5,4,2,1,8,3] => [1,2,1,1,1,1,2,1]
[10,6,9,8,5,7,2,1,4,3] => [1,2,1,2,1,2,1]
[10,8,6,4,3,2,1,5,7,9] => [1,1,1,1,1,1,4]
[10,9,8,6,4,3,2,1,5,7] => [1,1,1,1,1,1,1,3]
[10,8,7,6,4,3,2,1,5,9] => [1,1,1,1,1,1,1,3]
[10,7,9,6,4,3,2,1,8,5] => [1,2,1,1,1,1,2,1]
[10,8,6,3,5,2,4,1,7,9] => [1,1,1,2,2,3]
[10,9,8,6,3,5,2,4,1,7] => [1,1,1,1,2,2,2]
[10,8,3,7,5,2,4,6,1,9] => [1,1,2,1,3,2]
[10,3,9,7,5,2,4,6,8,1] => [1,2,1,1,4,1]
[10,9,8,3,7,5,2,4,6,1] => [1,1,1,2,1,3,1]
[10,8,7,6,3,5,2,4,1,9] => [1,1,1,1,2,2,2]
[10,7,9,6,3,5,2,4,8,1] => [1,2,1,2,3,1]
[10,9,3,8,6,5,2,7,4,1] => [1,1,2,1,1,2,1,1]
[10,9,8,7,6,3,5,2,4,1] => [1,1,1,1,1,2,2,1]
[10,8,6,5,4,3,2,1,7,9] => [1,1,1,1,1,1,1,3]
[10,8,5,7,4,3,2,6,1,9] => [1,1,2,1,1,2,2]
[10,5,9,7,4,3,2,6,8,1] => [1,2,1,1,1,3,1]
[10,9,8,5,7,4,3,2,6,1] => [1,1,1,2,1,1,2,1]
[10,8,4,7,6,3,5,2,1,9] => [1,1,2,1,2,1,2]
[10,4,9,7,6,3,5,2,8,1] => [1,2,1,1,2,2,1]
[10,4,9,6,8,3,5,7,2,1] => [1,2,2,3,1,1]
[10,9,8,4,7,6,3,5,2,1] => [1,1,1,2,1,2,1,1]
[10,7,9,6,5,4,3,2,8,1] => [1,2,1,1,1,1,2,1]
[10,6,9,8,5,4,3,7,2,1] => [1,2,1,1,1,2,1,1]
[10,5,9,8,7,4,6,3,2,1] => [1,2,1,1,2,1,1,1]
[1,10,4,5,6,7,2,8,3,9] => [2,4,2,2]
[1,10,7,2,8,3,9,4,5,6] => [2,1,2,2,3]
[1,10,4,5,6,9,3,8,2,7] => [2,4,2,2]
[1,10,6,9,3,8,2,7,4,5] => [2,2,2,2,2]
[1,10,9,3,7,2,6,8,4,5] => [2,1,2,3,2]
[1,10,6,9,5,4,3,8,2,7] => [2,2,1,1,2,2]
[1,10,9,5,4,3,7,2,6,8] => [2,1,1,1,2,3]
[1,9,3,10,4,5,6,7,2,8] => [2,2,4,2]
[1,9,3,10,7,2,8,4,5,6] => [2,2,1,2,3]
[1,9,3,10,4,5,6,8,2,7] => [2,2,4,2]
[1,9,3,10,6,8,2,7,4,5] => [2,2,2,2,2]
[1,9,3,10,8,2,6,7,4,5] => [2,2,1,3,2]
[1,9,5,4,3,10,6,8,2,7] => [2,1,1,2,2,2]
[1,9,5,4,3,10,8,2,6,7] => [2,1,1,2,1,3]
[1,8,2,7,3,9,4,5,6,10] => [2,2,2,4]
[1,8,2,6,10,7,3,9,4,5] => [2,3,1,2,2]
[1,7,2,6,9,3,8,4,5,10] => [2,3,2,3]
[1,8,2,7,3,9,5,4,6,10] => [2,2,2,1,3]
[1,8,2,6,10,7,3,9,5,4] => [2,3,1,2,1,1]
[1,7,2,6,9,5,4,3,8,10] => [2,3,1,1,3]
[1,9,3,10,4,5,7,2,6,8] => [2,2,3,3]
[1,9,3,10,5,7,2,6,8,4] => [2,2,2,3,1]
[1,9,3,10,8,2,5,6,7,4] => [2,2,1,4,1]
[1,9,4,3,10,5,7,2,6,8] => [2,1,2,2,3]
[1,9,4,3,10,8,2,5,6,7] => [2,1,2,1,4]
[1,8,2,6,10,4,5,7,3,9] => [2,3,3,2]
[1,8,2,6,10,5,7,3,9,4] => [2,3,2,2,1]
[1,8,2,5,6,10,7,3,9,4] => [2,4,1,2,1]
[1,7,2,5,6,9,3,8,4,10] => [2,4,2,2]
[1,7,2,5,6,9,4,3,8,10] => [2,4,1,3]
[1,8,2,4,3,9,6,10,7,5] => [2,2,2,2,1,1]
[1,9,4,2,6,8,3,10,5,7] => [2,1,3,2,2]
[1,9,4,2,5,6,7,3,10,8] => [2,1,4,2,1]
[1,8,3,9,4,2,6,10,5,7] => [2,2,1,3,2]
[1,8,3,9,4,2,5,6,10,7] => [2,2,1,4,1]
[1,8,3,9,6,10,7,2,4,5] => [2,2,2,1,3]
[10,2,1,8,4,3,6,5,7,9] => [1,1,2,1,2,3]
[10,2,1,9,4,3,6,5,7,8] => [1,1,2,1,2,3]
[10,2,1,8,4,3,7,5,6,9] => [1,1,2,1,2,3]
[10,2,1,9,4,3,7,5,6,8] => [1,1,2,1,2,3]
[10,2,1,9,4,3,8,5,6,7] => [1,1,2,1,2,3]
[10,2,1,8,3,6,5,4,7,9] => [1,1,2,2,1,3]
[10,2,1,9,3,6,5,4,7,8] => [1,1,2,2,1,3]
[10,2,1,8,3,7,5,4,6,9] => [1,1,2,2,1,3]
[10,2,1,9,3,7,5,4,6,8] => [1,1,2,2,1,3]
[10,2,1,9,3,8,5,4,6,7] => [1,1,2,2,1,3]
[10,2,1,8,3,7,4,6,5,9] => [1,1,2,2,2,2]
[10,2,1,9,3,7,4,6,5,8] => [1,1,2,2,2,2]
[10,2,1,9,3,8,4,6,5,7] => [1,1,2,2,2,2]
[10,2,1,9,3,8,4,7,5,6] => [1,1,2,2,2,2]
[10,1,8,4,3,2,6,5,7,9] => [1,2,1,1,2,3]
[10,1,9,4,3,2,6,5,7,8] => [1,2,1,1,2,3]
[10,1,8,4,3,2,7,5,6,9] => [1,2,1,1,2,3]
[10,1,9,4,3,2,7,5,6,8] => [1,2,1,1,2,3]
[10,1,9,4,3,2,8,5,6,7] => [1,2,1,1,2,3]
[10,1,8,3,2,6,5,4,7,9] => [1,2,1,2,1,3]
[10,1,9,3,2,6,5,4,7,8] => [1,2,1,2,1,3]
[10,1,8,3,2,7,5,4,6,9] => [1,2,1,2,1,3]
[10,1,9,3,2,7,5,4,6,8] => [1,2,1,2,1,3]
[10,1,9,3,2,8,5,4,6,7] => [1,2,1,2,1,3]
[10,1,8,3,2,7,4,6,5,9] => [1,2,1,2,2,2]
[10,1,9,3,2,7,4,6,5,8] => [1,2,1,2,2,2]
[10,1,9,3,2,8,4,6,5,7] => [1,2,1,2,2,2]
[10,1,9,3,2,8,4,7,5,6] => [1,2,1,2,2,2]
[10,1,8,2,6,5,4,3,7,9] => [1,2,2,1,1,3]
[10,1,9,2,6,5,4,3,7,8] => [1,2,2,1,1,3]
[10,1,8,2,7,5,4,3,6,9] => [1,2,2,1,1,3]
[10,1,9,2,7,5,4,3,6,8] => [1,2,2,1,1,3]
[10,1,9,2,8,5,4,3,6,7] => [1,2,2,1,1,3]
[10,1,8,2,7,4,3,6,5,9] => [1,2,2,1,2,2]
[10,1,9,2,7,4,3,6,5,8] => [1,2,2,1,2,2]
[10,1,9,2,8,4,3,6,5,7] => [1,2,2,1,2,2]
[10,1,9,2,8,4,3,7,5,6] => [1,2,2,1,2,2]
[10,1,8,2,7,3,6,5,4,9] => [1,2,2,2,1,2]
[10,1,9,2,7,3,6,5,4,8] => [1,2,2,2,1,2]
[10,1,9,2,8,3,6,5,4,7] => [1,2,2,2,1,2]
[10,1,9,2,8,3,7,5,4,6] => [1,2,2,2,1,2]
[3,2,5,4,7,6,10,1,8,9] => [1,2,2,2,3]
[3,2,5,4,8,9,7,6,1,10] => [1,2,3,1,1,2]
[3,2,5,4,8,10,7,1,6,9] => [1,2,3,1,3]
[3,2,5,4,9,10,1,6,7,8] => [1,2,3,4]
[3,2,6,7,5,4,9,8,1,10] => [1,3,1,2,1,2]
[3,2,6,7,5,4,10,1,8,9] => [1,3,1,2,3]
[3,2,6,8,5,9,7,4,1,10] => [1,3,2,1,1,2]
[3,2,6,8,5,10,7,1,4,9] => [1,3,2,1,3]
[3,2,6,9,5,10,1,4,7,8] => [1,3,2,4]
[3,2,7,8,9,6,5,4,1,10] => [1,4,1,1,1,2]
[3,2,7,8,10,6,5,1,4,9] => [1,4,1,1,3]
[3,2,7,9,10,6,1,4,5,8] => [1,4,1,4]
[3,2,8,9,10,1,4,5,6,7] => [1,4,5]
[4,5,3,2,7,6,9,8,1,10] => [2,1,2,2,1,2]
[4,5,3,2,7,6,10,1,8,9] => [2,1,2,2,3]
[4,5,3,2,8,9,7,6,1,10] => [2,1,3,1,1,2]
[4,5,3,2,8,10,7,1,6,9] => [2,1,3,1,3]
[4,5,3,2,9,10,1,6,7,8] => [2,1,3,4]
[4,6,3,7,5,2,9,8,1,10] => [2,2,1,2,1,2]
[4,6,3,7,5,2,10,1,8,9] => [2,2,1,2,3]
[4,6,3,8,5,9,7,2,1,10] => [2,2,2,1,1,2]
[4,6,3,8,5,10,7,1,2,9] => [2,2,2,1,3]
[4,6,3,9,5,10,1,2,7,8] => [2,2,2,4]
[4,7,3,8,9,6,5,2,1,10] => [2,3,1,1,1,2]
[4,7,3,8,10,6,5,1,2,9] => [2,3,1,1,3]
[4,7,3,9,10,6,1,2,5,8] => [2,3,1,4]
[4,8,3,9,10,1,2,5,6,7] => [2,3,5]
[5,6,7,4,3,2,9,8,1,10] => [3,1,1,2,1,2]
[5,6,7,4,3,2,10,1,8,9] => [3,1,1,2,3]
[5,6,8,4,3,9,7,2,1,10] => [3,1,2,1,1,2]
[5,6,8,4,3,10,7,1,2,9] => [3,1,2,1,3]
[5,6,9,4,3,10,1,2,7,8] => [3,1,2,4]
[5,7,8,4,9,6,3,2,1,10] => [3,2,1,1,1,2]
[5,7,8,4,10,6,3,1,2,9] => [3,2,1,1,3]
[5,7,9,4,10,6,1,2,3,8] => [3,2,1,4]
[5,8,9,4,10,1,2,3,6,7] => [3,2,5]
[6,7,8,9,5,4,3,2,1,10] => [4,1,1,1,1,2]
[6,7,8,10,5,4,3,1,2,9] => [4,1,1,1,3]
[6,7,9,10,5,4,1,2,3,8] => [4,1,1,4]
[6,8,9,10,5,1,2,3,4,7] => [4,1,5]
[2,3,4,5,8,9,10,1,6,7] => [7,3]
[2,3,4,7,8,9,10,1,5,6] => [7,3]
[2,3,6,7,8,9,10,1,4,5] => [7,3]
[2,5,6,7,8,9,10,1,3,4] => [7,3]
[1,2,4,8,5,10,9,7,3,6] => [4,2,1,1,2]
[1,2,4,9,7,3,6,5,10,8] => [4,1,2,2,1]
[1,2,4,8,5,10,9,6,3,7] => [4,2,1,1,2]
[1,2,4,9,6,3,7,5,10,8] => [4,1,2,2,1]
[1,2,4,9,6,3,8,5,10,7] => [4,1,2,2,1]
[1,2,5,10,9,7,3,6,4,8] => [4,1,1,2,2]
[1,2,5,10,8,4,9,7,3,6] => [4,1,2,1,2]
[1,2,5,10,9,6,3,7,4,8] => [4,1,1,2,2]
[1,2,5,10,8,4,9,6,3,7] => [4,1,2,1,2]
[1,2,5,10,7,3,8,4,9,6] => [4,1,2,2,1]
[1,2,6,3,7,4,8,5,10,9] => [3,2,2,2,1]
[1,2,6,3,7,4,9,5,10,8] => [3,2,2,2,1]
[1,2,6,3,8,4,9,5,10,7] => [3,2,2,2,1]
[1,2,7,3,8,4,9,5,10,6] => [3,2,2,2,1]
[1,3,6,2,4,8,5,10,9,7] => [3,3,2,1,1]
[1,3,6,2,4,9,7,5,10,8] => [3,3,1,2,1]
[1,3,7,2,4,8,5,10,9,6] => [3,3,2,1,1]
[1,3,7,2,4,9,6,5,10,8] => [3,3,1,2,1]
[1,3,8,5,10,7,2,4,9,6] => [3,2,1,3,1]
[1,3,6,2,5,10,9,7,4,8] => [3,3,1,1,2]
[1,3,6,2,5,10,8,4,9,7] => [3,3,1,2,1]
[1,3,7,2,5,10,9,6,4,8] => [3,3,1,1,2]
[1,3,7,2,5,10,8,4,9,6] => [3,3,1,2,1]
[1,3,8,4,9,6,2,5,10,7] => [3,2,1,3,1]
[1,3,7,2,6,4,8,5,10,9] => [3,2,2,2,1]
[1,3,7,2,6,4,9,5,10,8] => [3,2,2,2,1]
[1,3,8,4,9,5,10,7,2,6] => [3,2,2,1,2]
[1,3,8,4,9,5,10,6,2,7] => [3,2,2,1,2]
[1,4,8,3,6,2,5,10,9,7] => [3,2,3,1,1]
[1,4,9,7,2,5,10,8,3,6] => [3,1,3,1,2]
[1,4,8,3,7,2,5,10,9,6] => [3,2,3,1,1]
[1,4,9,6,2,5,10,8,3,7] => [3,1,3,1,2]
[1,4,9,6,2,5,10,7,3,8] => [3,1,3,1,2]
[1,4,8,3,7,2,6,5,10,9] => [3,2,2,2,1]
[1,4,9,5,10,8,3,7,2,6] => [3,2,1,2,2]
[1,4,9,5,10,7,2,6,3,8] => [3,2,1,2,2]
[1,4,9,5,10,6,2,7,3,8] => [3,2,1,2,2]
[1,5,10,9,4,8,3,7,2,6] => [3,1,2,2,2]
[1,5,10,8,3,7,2,6,4,9] => [3,1,2,2,2]
[1,5,10,7,2,6,3,8,4,9] => [3,1,2,2,2]
[1,5,10,6,2,7,3,8,4,9] => [3,1,2,2,2]
[4,1,2,3,6,5,8,7,10,9] => [1,4,2,2,1]
[8,1,2,3,4,5,6,9,7,10] => [1,7,2]
[7,1,2,3,4,5,9,6,10,8] => [1,6,2,1]
[5,1,2,3,7,4,9,6,10,8] => [1,4,2,2,1]
[6,1,2,3,4,7,9,5,10,8] => [1,6,2,1]
[4,1,2,5,7,3,9,6,10,8] => [1,4,2,2,1]
[2,3,5,1,7,4,9,6,10,8] => [3,2,2,2,1]
[3,10,2,1,9,8,7,6,5,4] => [2,1,2,1,1,1,1,1]
[3,10,2,9,8,1,7,6,5,4] => [2,2,1,2,1,1,1]
[3,10,2,9,8,7,6,1,5,4] => [2,2,1,1,1,2,1]
[3,10,2,9,8,7,6,5,4,1] => [2,2,1,1,1,1,1,1]
[4,10,9,3,2,1,8,7,6,5] => [2,1,1,1,2,1,1,1]
[4,10,9,3,2,8,7,1,6,5] => [2,1,1,2,1,2,1]
[4,10,9,3,2,8,7,6,5,1] => [2,1,1,2,1,1,1,1]
[4,10,9,3,8,7,2,1,6,5] => [2,1,2,1,1,2,1]
[4,10,9,3,8,7,2,6,5,1] => [2,1,2,1,2,1,1]
[4,10,9,3,8,7,6,5,2,1] => [2,1,2,1,1,1,1,1]
[5,10,9,8,4,3,2,1,7,6] => [2,1,1,1,1,1,2,1]
[5,10,9,8,4,3,2,7,6,1] => [2,1,1,1,1,2,1,1]
[5,10,9,8,4,3,7,6,2,1] => [2,1,1,1,2,1,1,1]
[5,10,9,8,4,7,6,3,2,1] => [2,1,1,2,1,1,1,1]
[3,4,5,6,7,1,8,2,10,9] => [5,2,2,1]
[1,4,5,6,10,7,8,2,9,3] => [5,2,2,1]
[2,4,5,6,10,7,1,8,3,9] => [5,1,2,2]
[3,4,5,6,8,7,1,10,2,9] => [5,1,2,2]
[3,5,6,7,10,8,1,9,2,4] => [5,1,2,2]
[1,4,5,9,6,7,2,8,10,3] => [4,2,3,1]
[10,2,3,4,5,6,7,1,9,8] => [1,6,2,1]
[10,2,3,4,5,6,1,8,9,7] => [1,5,3,1]
[10,2,3,4,5,1,7,8,9,6] => [1,4,4,1]
[10,2,3,4,1,6,7,8,9,5] => [1,3,5,1]
[10,2,3,1,5,6,7,8,9,4] => [1,2,6,1]
[10,2,1,4,5,6,7,8,9,3] => [1,1,7,1]
[1,9,2,3,4,5,6,10,7,8] => [2,6,2]
[8,1,2,3,4,5,6,10,7,9] => [1,7,2]
[3,1,10,2,4,5,6,7,8,9] => [1,2,7]
[2,3,4,5,6,7,1,9,8,10] => [6,2,2]
[2,3,4,5,1,7,6,9,8,10] => [4,2,2,2]
[3,4,5,6,7,8,10,1,9,2] => [7,2,1]
[9,8,2,3,4,5,6,7,1,10] => [1,1,6,2]
[1,10,9,3,4,5,6,7,8,2] => [2,1,6,1]
[7,8,9,6,1,2,3,4,10,5] => [3,1,5,1]
[2,8,9,10,7,1,3,4,5,6] => [4,1,5]
[8,9,7,5,6,1,2,3,10,4] => [2,1,2,4,1]
[2,9,10,8,6,7,1,3,4,5] => [3,1,2,4]
[7,8,9,5,1,2,3,4,10,6] => [3,1,5,1]
[7,8,9,1,6,2,3,4,10,5] => [3,2,4,1]
[2,8,9,10,6,1,3,4,5,7] => [4,1,5]
[2,8,9,10,1,7,3,4,5,6] => [4,2,4]
[8,9,7,10,5,6,3,4,1,2] => [2,2,2,2,2]
[9,10,6,7,5,8,3,4,1,2] => [2,2,2,2,2]
[8,9,6,7,5,10,3,4,1,2] => [2,2,2,2,2]
[7,8,6,9,5,10,3,4,1,2] => [2,2,2,2,2]
[9,10,7,8,4,5,3,6,1,2] => [2,2,2,2,2]
[8,9,7,10,4,5,3,6,1,2] => [2,2,2,2,2]
[9,10,6,7,4,5,3,8,1,2] => [2,2,2,2,2]
[9,10,5,6,4,7,3,8,1,2] => [2,2,2,2,2]
[8,9,6,7,4,5,3,10,1,2] => [2,2,2,2,2]
[7,8,6,9,4,5,3,10,1,2] => [2,2,2,2,2]
[8,9,5,6,4,7,3,10,1,2] => [2,2,2,2,2]
[7,8,5,6,4,9,3,10,1,2] => [2,2,2,2,2]
[6,7,5,8,4,9,3,10,1,2] => [2,2,2,2,2]
[9,10,7,8,5,6,2,3,1,4] => [2,2,2,2,2]
[8,9,7,10,5,6,2,3,1,4] => [2,2,2,2,2]
[9,10,6,7,5,8,2,3,1,4] => [2,2,2,2,2]
[8,9,6,7,5,10,2,3,1,4] => [2,2,2,2,2]
[7,8,6,9,5,10,2,3,1,4] => [2,2,2,2,2]
[9,10,7,8,4,5,2,3,1,6] => [2,2,2,2,2]
[8,9,7,10,4,5,2,3,1,6] => [2,2,2,2,2]
[9,10,7,8,3,4,2,5,1,6] => [2,2,2,2,2]
[8,9,7,10,3,4,2,5,1,6] => [2,2,2,2,2]
[9,10,6,7,4,5,2,3,1,8] => [2,2,2,2,2]
[9,10,5,6,4,7,2,3,1,8] => [2,2,2,2,2]
[9,10,6,7,3,4,2,5,1,8] => [2,2,2,2,2]
[9,10,5,6,3,4,2,7,1,8] => [2,2,2,2,2]
[9,10,4,5,3,6,2,7,1,8] => [2,2,2,2,2]
[8,9,6,7,4,5,2,3,1,10] => [2,2,2,2,2]
[7,8,6,9,4,5,2,3,1,10] => [2,2,2,2,2]
[8,9,5,6,4,7,2,3,1,10] => [2,2,2,2,2]
[7,8,5,6,4,9,2,3,1,10] => [2,2,2,2,2]
[6,7,5,8,4,9,2,3,1,10] => [2,2,2,2,2]
[8,9,6,7,3,4,2,5,1,10] => [2,2,2,2,2]
[7,8,6,9,3,4,2,5,1,10] => [2,2,2,2,2]
[8,9,5,6,3,4,2,7,1,10] => [2,2,2,2,2]
[8,9,4,5,3,6,2,7,1,10] => [2,2,2,2,2]
[7,8,5,6,3,4,2,9,1,10] => [2,2,2,2,2]
[6,7,5,8,3,4,2,9,1,10] => [2,2,2,2,2]
[7,8,4,5,3,6,2,9,1,10] => [2,2,2,2,2]
[6,7,4,5,3,8,2,9,1,10] => [2,2,2,2,2]
[10,8,4,5,6,7,1,9,2,3] => [1,1,4,2,2]
[2,8,4,5,6,7,1,10,3,9] => [2,4,2,2]
[7,3,4,5,6,1,8,10,2,9] => [1,4,3,2]
[10,7,4,5,6,1,8,9,2,3] => [1,1,3,3,2]
[8,9,4,5,10,1,2,3,6,7] => [2,3,5]
[8,4,3,9,10,1,2,5,6,7] => [1,1,3,5]
[9,6,10,1,3,7,8,2,4,5] => [1,2,4,3]
[9,10,6,7,4,5,1,2,3,8] => [2,2,2,4]
[9,6,4,10,3,7,1,2,5,8] => [1,1,2,2,4]
[10,1,8,9,6,7,4,5,2,3] => [1,3,2,2,2]
[10,8,6,1,4,9,3,7,2,5] => [1,1,1,3,2,2]
[10,8,6,5,4,1,3,9,2,7] => [1,1,1,1,1,3,2]
[10,8,7,6,5,4,3,1,2,9] => [1,1,1,1,1,1,1,3]
[1,2,3,4,6,5,7,8,9,10] => [5,5]
[1,2,3,4,5,6,8,7,9,10] => [7,3]
[10,7,6,5,4,3,2,1,8,9] => [1,1,1,1,1,1,1,3]
[10,1,2,3,4,5,6,9,8,7] => [1,7,1,1]
[10,1,2,3,4,5,9,7,8,6] => [1,6,2,1]
[10,1,2,3,9,5,6,7,8,4] => [1,4,4,1]
[10,1,2,9,4,5,6,7,8,3] => [1,3,5,1]
[3,4,5,6,7,9,10,1,8,2] => [7,2,1]
[3,4,5,6,8,9,10,1,7,2] => [7,2,1]
[3,4,5,7,8,9,10,1,6,2] => [7,2,1]
[3,4,6,7,8,9,10,1,5,2] => [7,2,1]
[3,5,6,7,8,9,10,1,4,2] => [7,2,1]
[4,5,6,7,8,9,10,1,3,2] => [7,2,1]
[2,3,4,5,8,6,9,7,10,1] => [5,2,2,1]
[3,4,5,6,9,7,10,2,8,1] => [5,2,2,1]
[3,4,5,8,6,9,1,7,10,2] => [4,2,3,1]
[2,3,4,5,9,6,1,10,7,8] => [5,1,2,2]
[4,5,6,9,1,7,10,8,2,3] => [4,3,1,2]
[3,4,5,6,10,8,2,7,1,9] => [5,1,2,2]
[4,6,7,5,8,3,9,2,10,1] => [3,2,2,2,1]
[6,4,3,7,8,5,9,2,10,1] => [1,1,3,2,2,1]
[6,4,7,3,2,8,9,5,10,1] => [1,2,1,3,2,1]
[6,4,7,3,8,2,1,9,10,5] => [1,2,2,1,3,1]
[6,4,7,3,8,2,9,1,5,10] => [1,2,2,2,3]
[6,4,7,3,8,2,5,9,1,10] => [1,2,2,3,2]
[6,4,7,3,5,8,2,9,1,10] => [1,2,3,2,2]
[6,4,5,7,3,8,2,9,1,10] => [1,3,2,2,2]
[7,5,1,3,2,6,4,8,9,10] => [1,1,2,2,4]
[9,6,1,3,4,2,7,8,5,10] => [1,1,3,3,2]
[8,3,6,1,4,2,7,5,9,10] => [1,2,2,2,3]
[10,1,8,3,2,5,7,4,9,6] => [1,2,1,3,2,1]
[10,3,7,1,4,5,2,8,9,6] => [1,2,3,3,1]
[9,3,4,7,1,5,2,8,6,10] => [1,3,2,2,2]
[7,10,1,3,8,2,6,5,9,4] => [2,3,2,2,1]
[10,9,5,1,8,2,4,3,6,7] => [1,1,1,2,2,3]
[10,3,4,5,8,1,6,2,9,7] => [1,4,2,2,1]
[9,8,7,5,6,4,3,2,10,1] => [1,1,1,2,1,1,2,1]
[2,3,4,5,6,9,10,8,7,1] => [7,1,1,1]
[2,3,4,5,8,9,10,7,6,1] => [7,1,1,1]
[2,3,4,7,8,9,10,6,5,1] => [7,1,1,1]
[2,3,6,7,8,9,10,5,4,1] => [7,1,1,1]
[2,5,6,7,8,9,10,4,3,1] => [7,1,1,1]
[9,10,2,4,6,8,1,3,5,7] => [2,4,4]
[7,8,2,4,6,10,1,3,5,9] => [2,4,4]
[9,7,10,2,4,6,8,1,3,5] => [1,2,4,3]
[8,9,10,7,2,4,6,1,3,5] => [3,1,3,3]
[5,6,2,4,8,10,1,3,7,9] => [2,4,4]
[5,6,9,10,2,4,8,1,3,7] => [4,3,3]
[7,5,8,2,4,6,10,1,3,9] => [1,2,4,3]
[7,9,5,10,2,4,6,8,1,3] => [2,2,4,2]
[5,8,9,10,7,2,4,6,1,3] => [4,1,3,2]
[6,7,8,5,2,4,10,1,3,9] => [3,1,3,3]
[9,6,7,5,10,2,4,8,1,3] => [1,2,2,3,2]
[8,9,6,10,5,7,2,4,1,3] => [2,2,2,2,2]
[7,8,9,10,6,5,2,4,1,3] => [4,1,1,2,2]
[3,4,2,6,8,10,1,5,7,9] => [2,4,4]
[3,4,9,10,2,6,8,1,5,7] => [4,3,3]
[3,4,7,8,2,6,10,1,5,9] => [4,3,3]
[9,3,4,7,10,2,6,8,1,5] => [1,4,3,2]
[8,9,10,3,4,7,2,6,1,5] => [3,3,2,2]
[5,3,6,2,4,8,10,1,7,9] => [1,2,4,3]
[5,3,6,9,10,2,4,8,1,7] => [1,4,3,2]
[5,7,3,8,2,4,6,10,1,9] => [2,2,4,2]
[5,7,9,3,10,2,4,6,8,1] => [3,2,4,1]
[8,5,9,10,3,7,2,4,6,1] => [1,3,2,3,1]
[3,6,7,8,5,2,4,10,1,9] => [4,1,3,2]
[9,3,6,7,5,10,2,4,8,1] => [1,3,2,3,1]
[6,8,3,9,10,5,7,2,4,1] => [2,3,2,2,1]
[7,8,9,10,3,6,5,2,4,1] => [4,2,1,2,1]
[4,5,6,3,2,8,10,1,7,9] => [3,1,3,3]
[4,5,6,3,9,10,2,8,1,7] => [3,3,2,2]
[7,4,5,3,8,2,6,10,1,9] => [1,2,2,3,2]
[7,4,5,9,3,10,2,6,8,1] => [1,3,2,3,1]
[4,8,5,9,10,3,7,2,6,1] => [2,3,2,2,1]
[6,7,4,8,3,5,2,10,1,9] => [2,2,2,2,2]
[6,7,9,4,3,5,10,2,8,1] => [3,1,3,2,1]
[8,6,9,4,10,3,5,7,2,1] => [1,2,2,3,1,1]
[7,4,8,9,10,6,3,5,2,1] => [1,4,1,2,1,1]
[5,6,7,8,4,3,2,10,1,9] => [4,1,1,2,2]
[9,5,6,7,4,3,10,2,8,1] => [1,3,1,2,2,1]
[8,9,5,6,4,10,3,7,2,1] => [2,2,2,2,1,1]
[7,8,9,5,10,4,6,3,2,1] => [3,2,2,1,1,1]
[1,2,4,5,6,8,10,9,3,7] => [7,1,2]
[1,2,3,5,7,8,10,6,9,4] => [7,2,1]
[1,2,4,5,7,8,10,3,9,6] => [7,2,1]
[1,2,4,6,7,5,10,8,3,9] => [5,2,1,2]
[1,3,4,2,7,8,10,5,9,6] => [3,4,2,1]
[1,3,4,6,7,2,10,8,5,9] => [5,2,1,2]
[1,2,3,5,6,9,8,10,7,4] => [6,2,1,1]
[1,2,4,5,6,9,8,10,3,7] => [6,2,2]
[1,2,3,5,7,9,6,10,8,4] => [6,2,1,1]
[1,2,4,5,7,9,3,10,8,6] => [6,2,1,1]
[1,2,4,6,5,9,7,10,3,8] => [4,2,2,2]
[1,3,4,2,7,9,5,10,8,6] => [3,3,2,1,1]
[1,3,4,6,2,9,7,10,5,8] => [4,2,2,2]
[1,2,3,5,8,7,9,6,10,4] => [5,2,2,1]
[1,2,4,5,8,7,9,3,10,6] => [5,2,2,1]
[1,2,4,6,8,5,9,3,10,7] => [5,2,2,1]
[1,2,4,7,6,8,5,9,3,10] => [4,2,2,2]
[1,3,4,2,8,7,9,5,10,6] => [3,2,2,2,1]
[1,3,4,6,8,2,9,5,10,7] => [5,2,2,1]
[1,3,4,7,6,8,2,9,5,10] => [4,2,2,2]
[1,2,3,6,5,9,7,10,8,4] => [4,2,2,1,1]
[1,2,4,6,3,9,7,10,8,5] => [4,2,2,1,1]
[1,2,5,4,6,9,7,10,3,8] => [3,3,2,2]
[1,3,2,6,4,9,7,10,8,5] => [2,2,2,2,1,1]
[1,3,5,2,6,9,7,10,4,8] => [3,3,2,2]
[1,2,3,6,8,5,9,7,10,4] => [5,2,2,1]
[1,2,4,6,8,3,9,7,10,5] => [5,2,2,1]
[1,2,5,4,8,6,9,3,10,7] => [3,2,2,2,1]
[1,2,5,7,4,8,6,9,3,10] => [4,2,2,2]
[1,3,2,6,8,4,9,7,10,5] => [2,3,2,2,1]
[1,3,5,2,8,6,9,4,10,7] => [3,2,2,2,1]
[1,3,5,7,2,8,6,9,4,10] => [4,2,2,2]
[1,4,3,5,8,2,9,6,10,7] => [2,3,2,2,1]
[1,4,3,7,5,8,2,9,6,10] => [2,2,2,2,2]
[2,1,3,6,4,9,7,10,8,5] => [1,3,2,2,1,1]
[2,1,5,3,6,9,7,10,4,8] => [1,2,3,2,2]
[2,1,3,6,8,4,9,7,10,5] => [1,4,2,2,1]
[2,1,5,3,8,6,9,4,10,7] => [1,2,2,2,2,1]
[2,1,5,7,3,8,6,9,4,10] => [1,3,2,2,2]
[2,4,1,5,8,3,9,6,10,7] => [2,3,2,2,1]
[2,4,1,7,5,8,3,9,6,10] => [2,2,2,2,2]
[5,6,1,2,3,7,8,9,10,4] => [2,7,1]
[2,5,1,3,6,7,8,9,10,4] => [2,7,1]
[3,2,1,5,6,7,8,9,10,4] => [1,1,7,1]
[6,7,8,1,2,3,4,9,10,5] => [3,6,1]
[2,6,7,1,3,4,8,9,10,5] => [3,6,1]
[6,3,4,1,2,7,8,9,10,5] => [1,2,6,1]
[3,2,6,1,4,7,8,9,10,5] => [1,2,6,1]
[4,3,2,1,6,7,8,9,10,5] => [1,1,1,6,1]
[2,7,8,9,1,3,4,5,10,6] => [4,5,1]
[7,3,4,8,1,2,5,9,10,6] => [1,3,5,1]
[3,2,7,8,1,4,5,9,10,6] => [1,3,5,1]
[4,7,2,5,1,3,8,9,10,6] => [2,2,5,1]
[4,3,2,7,1,5,8,9,10,6] => [1,1,2,5,1]
[5,4,3,2,1,7,8,9,10,6] => [1,1,1,1,5,1]
[8,3,4,9,10,1,2,5,6,7] => [1,4,5]
[8,9,4,5,6,1,2,3,10,7] => [2,3,4,1]
[4,3,2,8,9,1,5,6,10,7] => [1,1,3,4,1]
[8,5,6,3,4,1,2,9,10,7] => [1,2,2,4,1]
[5,3,8,2,6,1,4,9,10,7] => [1,2,2,4,1]
[5,4,3,2,8,1,6,9,10,7] => [1,1,1,2,4,1]
[6,5,4,3,2,1,8,9,10,7] => [1,1,1,1,1,4,1]
[5,9,10,2,6,7,1,3,4,8] => [3,3,4]
[9,5,6,3,4,10,1,2,7,8] => [1,2,3,4]
[5,3,9,2,6,10,1,4,7,8] => [1,2,3,4]
[5,4,3,2,9,10,1,6,7,8] => [1,1,1,3,4]
[6,9,4,7,2,5,1,3,10,8] => [2,2,2,3,1]
[6,4,3,9,2,7,1,5,10,8] => [1,1,2,2,3,1]
[6,5,4,3,2,9,1,7,10,8] => [1,1,1,1,2,3,1]
[7,6,5,4,3,2,1,9,10,8] => [1,1,1,1,1,1,3,1]
[10,7,8,5,6,3,4,1,2,9] => [1,2,2,2,3]
[7,5,10,3,8,2,6,1,4,9] => [1,2,2,2,3]
[7,5,4,3,10,2,8,1,6,9] => [1,1,1,2,2,3]
[7,6,5,4,3,2,10,1,8,9] => [1,1,1,1,1,2,3]
[2,1,8,7,4,3,6,5,10,9] => [1,2,1,1,2,2,1]
[2,1,4,3,6,5,7,9,10,8] => [1,2,2,4,1]
[2,1,4,3,5,7,8,6,10,9] => [1,2,4,2,1]
[2,1,4,3,5,7,6,9,10,8] => [1,2,3,3,1]
[2,1,4,3,5,6,8,9,10,7] => [1,2,6,1]
[2,1,3,5,6,4,8,7,10,9] => [1,4,2,2,1]
[2,1,3,5,6,4,7,9,10,8] => [1,4,4,1]
[2,1,3,5,4,7,8,6,10,9] => [1,3,3,2,1]
[2,1,3,5,4,7,6,9,10,8] => [1,3,2,3,1]
[2,1,3,5,4,6,8,9,10,7] => [1,3,5,1]
[2,1,3,4,6,7,8,5,10,9] => [1,6,2,1]
[2,1,3,4,6,7,5,9,10,8] => [1,5,3,1]
[2,1,3,4,6,5,8,9,10,7] => [1,4,4,1]
[2,1,3,4,5,7,8,9,10,6] => [1,8,1]
[1,3,4,2,6,5,7,9,10,8] => [3,2,4,1]
[1,3,4,2,5,7,8,6,10,9] => [3,4,2,1]
[1,3,4,2,5,7,6,9,10,8] => [3,3,3,1]
[1,3,4,2,5,6,8,9,10,7] => [3,6,1]
[1,3,2,5,6,4,8,7,10,9] => [2,3,2,2,1]
[1,3,2,5,6,4,7,9,10,8] => [2,3,4,1]
[1,3,2,5,4,7,8,6,10,9] => [2,2,3,2,1]
[1,3,2,5,4,7,6,9,10,8] => [2,2,2,3,1]
[1,3,2,5,4,6,8,9,10,7] => [2,2,5,1]
[1,3,2,4,6,7,8,5,10,9] => [2,5,2,1]
[1,3,2,4,6,7,5,9,10,8] => [2,4,3,1]
[1,3,2,4,6,5,8,9,10,7] => [2,3,4,1]
[1,3,2,4,5,7,8,9,10,6] => [2,7,1]
[1,2,4,5,6,3,8,7,10,9] => [5,2,2,1]
[1,2,4,5,6,3,7,9,10,8] => [5,4,1]
[1,2,4,5,3,7,8,6,10,9] => [4,3,2,1]
[1,2,4,5,3,7,6,9,10,8] => [4,2,3,1]
[1,2,4,5,3,6,8,9,10,7] => [4,5,1]
[1,2,4,3,6,7,8,5,10,9] => [3,4,2,1]
[1,2,4,3,6,7,5,9,10,8] => [3,3,3,1]
[1,2,4,3,6,5,8,9,10,7] => [3,2,4,1]
[1,2,4,3,5,7,8,9,10,6] => [3,6,1]
[1,2,3,5,6,7,8,4,10,9] => [7,2,1]
[1,2,3,5,6,7,4,9,10,8] => [6,3,1]
[1,2,3,5,6,4,8,9,10,7] => [5,4,1]
[1,2,3,5,4,7,8,9,10,6] => [4,5,1]
[2,3,4,5,6,10,8,9,7,1] => [6,2,1,1]
[2,3,4,5,10,7,8,9,6,1] => [5,3,1,1]
[2,3,4,10,6,7,8,9,5,1] => [4,4,1,1]
[2,3,10,5,6,7,8,9,4,1] => [3,5,1,1]
[2,10,4,5,6,7,8,9,3,1] => [2,6,1,1]
[10,3,4,5,6,7,8,9,2,1] => [1,7,1,1]
[6,5,7,4,8,3,10,1,9,2] => [1,2,2,2,2,1]
[6,5,7,4,10,1,9,2,8,3] => [1,2,2,2,2,1]
[6,5,10,1,9,2,8,3,7,4] => [1,2,2,2,2,1]
[5,10,1,9,2,8,3,7,4,6] => [2,2,2,2,2]
[5,6,4,10,1,9,2,8,3,7] => [2,2,2,2,2]
[5,6,4,7,3,10,1,9,2,8] => [2,2,2,2,2]
[5,6,4,7,3,8,2,10,1,9] => [2,2,2,2,2]
[2,10,1,3,4,5,6,9,7,8] => [2,6,2]
[2,9,1,3,4,5,6,7,10,8] => [2,7,1]
[10,3,1,2,4,5,6,9,7,8] => [1,1,6,2]
[3,1,10,2,4,5,6,9,7,8] => [1,2,5,2]
[9,3,1,2,4,5,6,7,10,8] => [1,1,7,1]
[3,1,9,2,4,5,6,7,10,8] => [1,2,6,1]
[10,9,3,4,5,6,7,8,1,2] => [1,1,6,2]
[10,9,2,3,4,5,6,7,1,8] => [1,1,6,2]
[10,4,5,6,7,8,9,2,1,3] => [1,6,1,2]
[10,3,4,5,6,7,8,2,1,9] => [1,6,1,2]
[1,10,2,8,9,3,5,6,7,4] => [2,3,4,1]
[1,10,2,7,8,9,4,5,6,3] => [2,4,3,1]
[1,9,10,7,8,2,4,5,6,3] => [3,2,4,1]
[1,9,10,6,7,2,4,5,8,3] => [3,2,4,1]
[1,8,9,6,7,10,3,4,5,2] => [3,3,3,1]
[1,9,10,5,6,2,4,7,8,3] => [3,2,4,1]
[1,8,9,5,6,10,3,4,7,2] => [3,3,3,1]
[10,9,1,7,8,2,4,5,6,3] => [1,1,3,4,1]
[10,9,1,6,7,8,3,4,5,2] => [1,1,4,3,1]
[10,8,1,7,9,2,4,5,6,3] => [1,1,3,4,1]
[10,8,1,6,7,2,4,5,9,3] => [1,1,3,4,1]
[10,7,1,6,8,9,3,4,5,2] => [1,1,4,3,1]
[10,8,1,5,6,2,4,7,9,3] => [1,1,3,4,1]
[10,7,1,5,6,9,3,4,8,2] => [1,1,4,3,1]
[9,8,10,6,7,1,3,4,5,2] => [1,2,2,4,1]
[9,8,10,5,6,1,3,4,7,2] => [1,2,2,4,1]
[9,7,10,5,6,1,3,4,8,2] => [1,2,2,4,1]
[8,7,9,5,6,10,2,3,4,1] => [1,2,3,3,1]
[9,8,10,4,5,1,3,6,7,2] => [1,2,2,4,1]
[9,7,10,4,5,1,3,6,8,2] => [1,2,2,4,1]
[8,7,9,4,5,10,2,3,6,1] => [1,2,3,3,1]
[10,7,1,8,9,2,4,5,6,3] => [1,1,3,4,1]
[10,7,1,6,9,2,4,5,8,3] => [1,1,3,4,1]
[10,6,1,7,8,9,3,4,5,2] => [1,1,4,3,1]
[10,7,1,5,9,2,4,6,8,3] => [1,1,3,4,1]
[10,6,1,5,8,9,3,4,7,2] => [1,1,4,3,1]
[9,7,10,6,8,1,3,4,5,2] => [1,2,2,4,1]
[9,7,10,5,8,1,3,4,6,2] => [1,2,2,4,1]
[9,6,10,5,7,1,3,4,8,2] => [1,2,2,4,1]
[8,6,9,5,7,10,2,3,4,1] => [1,2,3,3,1]
[9,7,10,4,8,1,3,5,6,2] => [1,2,2,4,1]
[9,6,10,4,7,1,3,5,8,2] => [1,2,2,4,1]
[8,6,9,4,7,10,2,3,5,1] => [1,2,3,3,1]
[9,5,10,4,6,1,3,7,8,2] => [1,2,2,4,1]
[8,5,9,4,6,10,2,3,7,1] => [1,2,3,3,1]
[10,7,1,4,9,2,5,6,8,3] => [1,1,3,4,1]
[10,6,1,4,8,9,3,5,7,2] => [1,1,4,3,1]
[9,7,10,3,8,1,4,5,6,2] => [1,2,2,4,1]
[9,6,10,3,7,1,4,5,8,2] => [1,2,2,4,1]
[8,6,9,3,7,10,2,4,5,1] => [1,2,3,3,1]
[9,5,10,3,6,1,4,7,8,2] => [1,2,2,4,1]
[1,9,7,5,3,2,10,8,6,4] => [2,1,1,1,2,1,1,1]
[1,8,5,2,9,6,3,10,7,4] => [2,1,2,1,2,1,1]
[1,10,7,4,2,8,5,3,9,6] => [2,1,1,2,1,2,1]
[1,10,7,4,2,9,6,3,8,5] => [2,1,1,2,1,2,1]
[1,7,3,9,5,2,8,4,10,6] => [2,2,1,2,2,1]
[1,10,6,2,7,3,8,4,9,5] => [2,1,2,2,2,1]
[1,9,5,2,10,6,3,7,4,8] => [2,1,2,1,2,2]
[1,10,6,2,9,5,3,7,4,8] => [2,1,2,1,2,2]
[1,10,6,2,9,5,3,8,4,7] => [2,1,2,1,2,2]
[1,10,5,9,4,8,3,7,2,6] => [2,2,2,2,2]
[1,9,4,7,2,10,5,8,3,6] => [2,2,2,2,2]
[1,10,5,8,3,6,2,9,4,7] => [2,2,2,2,2]
[1,10,5,7,2,8,3,9,4,6] => [2,2,2,2,2]
[1,10,5,7,2,9,4,6,3,8] => [2,2,2,2,2]
[1,10,5,6,2,9,4,7,3,8] => [2,2,2,2,2]
[1,9,3,5,7,2,10,4,6,8] => [2,3,2,3]
[1,10,4,6,8,2,9,3,5,7] => [2,3,2,3]
[1,8,2,9,3,10,4,5,6,7] => [2,2,2,4]
[1,10,4,5,6,7,2,9,3,8] => [2,4,2,2]
[1,9,3,7,2,10,4,8,5,6] => [2,2,2,2,2]
[1,10,4,8,2,9,3,7,5,6] => [2,2,2,2,2]
[1,10,4,7,2,9,3,8,5,6] => [2,2,2,2,2]
[1,10,3,8,2,7,6,5,4,9] => [2,2,2,1,1,2]
[1,9,2,10,3,7,6,5,4,8] => [2,2,2,1,1,2]
[1,10,3,7,6,5,4,8,2,9] => [2,2,1,1,2,2]
[1,10,3,8,2,9,4,7,6,5] => [2,2,2,2,1,1]
[1,10,3,9,2,8,4,6,5,7] => [2,2,2,2,2]
[1,10,3,8,2,9,4,6,5,7] => [2,2,2,2,2]
[1,10,3,8,2,9,4,7,5,6] => [2,2,2,2,2]
[1,10,2,9,3,7,4,8,5,6] => [2,2,2,2,2]
[2,1,4,3,10,9,7,8,6,5] => [1,2,2,1,2,1,1]
[2,1,8,7,5,6,4,3,10,9] => [1,2,1,2,1,2,1]
[2,1,10,7,5,9,4,8,6,3] => [1,2,1,2,2,1,1]
[2,1,10,9,5,8,7,6,4,3] => [1,2,1,2,1,1,1,1]
[2,1,10,7,9,6,4,8,5,3] => [1,2,2,1,2,1,1]
[4,3,2,1,10,9,7,8,6,5] => [1,1,1,2,1,2,1,1]
[6,5,3,4,2,1,8,7,10,9] => [1,1,2,1,2,2,1]
[6,5,3,4,2,1,10,9,8,7] => [1,1,2,1,2,1,1,1]
[8,5,3,7,2,6,4,1,10,9] => [1,1,2,2,1,2,1]
[10,5,3,7,2,9,4,8,6,1] => [1,1,2,2,2,1,1]
[10,5,3,9,2,8,7,6,4,1] => [1,1,2,2,1,1,1,1]
[8,7,3,6,5,4,2,1,10,9] => [1,1,2,1,1,1,2,1]
[10,7,3,6,9,4,2,8,5,1] => [1,1,3,1,2,1,1]
[10,9,3,8,6,5,7,4,2,1] => [1,1,2,1,2,1,1,1]
[10,9,3,8,7,6,5,4,2,1] => [1,1,2,1,1,1,1,1,1]
[8,5,7,4,2,6,3,1,10,9] => [1,2,1,2,1,2,1]
[10,5,7,4,2,9,3,8,6,1] => [1,2,1,2,2,1,1]
[10,5,9,4,2,8,7,6,3,1] => [1,2,1,2,1,1,1,1]
[8,7,6,4,5,3,2,1,10,9] => [1,1,1,2,1,1,2,1]
[10,7,6,4,9,3,2,8,5,1] => [1,1,1,2,1,2,1,1]
[10,9,8,6,5,4,7,3,2,1] => [1,1,1,1,1,2,1,1,1]
[10,7,6,9,5,3,2,8,4,1] => [1,1,2,1,1,2,1,1]
[8,1,9,10,2,3,4,5,6,7] => [1,3,6]
[5,10,4,9,3,8,2,1,7,6] => [2,2,2,1,2,1]
[5,10,4,9,3,2,8,7,1,6] => [2,2,1,2,1,2]
[5,10,4,9,3,2,8,1,7,6] => [2,2,1,2,2,1]
[5,10,4,9,3,2,1,8,7,6] => [2,2,1,1,2,1,1]
[5,10,4,3,9,8,2,7,1,6] => [2,1,2,1,2,2]
[5,10,4,3,9,8,2,1,7,6] => [2,1,2,1,1,2,1]
[5,10,4,3,9,2,8,7,1,6] => [2,1,2,2,1,2]
[5,10,4,3,9,2,8,1,7,6] => [2,1,2,2,2,1]
[5,10,4,3,9,2,1,8,7,6] => [2,1,2,1,2,1,1]
[5,10,4,3,2,9,8,7,1,6] => [2,1,1,2,1,1,2]
[5,10,4,3,2,9,8,1,7,6] => [2,1,1,2,1,2,1]
[5,10,4,3,2,9,1,8,7,6] => [2,1,1,2,2,1,1]
[5,10,4,3,2,1,9,8,7,6] => [2,1,1,1,2,1,1,1]
[5,4,10,9,3,8,2,7,1,6] => [1,2,1,2,2,2]
[5,4,10,9,3,8,2,1,7,6] => [1,2,1,2,1,2,1]
[5,4,10,9,3,2,8,7,1,6] => [1,2,1,1,2,1,2]
[5,4,10,9,3,2,8,1,7,6] => [1,2,1,1,2,2,1]
[5,4,10,9,3,2,1,8,7,6] => [1,2,1,1,1,2,1,1]
[5,4,10,3,9,8,2,7,1,6] => [1,2,2,1,2,2]
[5,4,10,3,9,8,2,1,7,6] => [1,2,2,1,1,2,1]
[5,4,10,3,9,2,8,7,1,6] => [1,2,2,2,1,2]
[5,4,10,3,9,2,8,1,7,6] => [1,2,2,2,2,1]
[5,4,10,3,9,2,1,8,7,6] => [1,2,2,1,2,1,1]
[5,4,10,3,2,9,8,7,1,6] => [1,2,1,2,1,1,2]
[5,4,10,3,2,9,8,1,7,6] => [1,2,1,2,1,2,1]
[5,4,10,3,2,9,1,8,7,6] => [1,2,1,2,2,1,1]
[5,4,10,3,2,1,9,8,7,6] => [1,2,1,1,2,1,1,1]
[5,4,3,10,9,8,2,7,1,6] => [1,1,2,1,1,2,2]
[5,4,3,10,9,8,2,1,7,6] => [1,1,2,1,1,1,2,1]
[5,4,3,10,9,2,8,7,1,6] => [1,1,2,1,2,1,2]
[5,4,3,10,9,2,8,1,7,6] => [1,1,2,1,2,2,1]
[5,4,3,10,9,2,1,8,7,6] => [1,1,2,1,1,2,1,1]
[5,4,3,10,2,9,8,7,1,6] => [1,1,2,2,1,1,2]
[5,4,3,10,2,9,8,1,7,6] => [1,1,2,2,1,2,1]
[5,4,3,10,2,9,1,8,7,6] => [1,1,2,2,2,1,1]
[5,4,3,10,2,1,9,8,7,6] => [1,1,2,1,2,1,1,1]
[5,4,3,2,10,9,8,7,1,6] => [1,1,1,2,1,1,1,2]
[5,4,3,2,10,9,8,1,7,6] => [1,1,1,2,1,1,2,1]
[5,4,3,2,10,9,1,8,7,6] => [1,1,1,2,1,2,1,1]
[5,4,3,2,10,1,9,8,7,6] => [1,1,1,2,2,1,1,1]
[3,4,5,6,7,10,1,2,8,9] => [6,4]
[3,4,5,6,9,10,1,2,7,8] => [6,4]
[3,4,5,8,9,10,1,2,6,7] => [6,4]
[3,4,7,8,9,10,1,2,5,6] => [6,4]
[3,6,7,8,9,10,1,2,4,5] => [6,4]
[3,5,7,9,1,4,6,8,10,2] => [4,5,1]
[3,5,7,10,1,4,6,8,9,2] => [4,5,1]
[3,5,8,9,1,4,6,7,10,2] => [4,5,1]
[3,5,8,10,1,4,6,7,9,2] => [4,5,1]
[3,5,9,10,1,4,6,7,8,2] => [4,5,1]
[3,6,7,9,1,4,5,8,10,2] => [4,5,1]
[3,6,7,10,1,4,5,8,9,2] => [4,5,1]
[3,6,8,9,1,4,5,7,10,2] => [4,5,1]
[3,6,8,10,1,4,5,7,9,2] => [4,5,1]
[3,6,9,10,1,4,5,7,8,2] => [4,5,1]
[3,7,8,9,1,4,5,6,10,2] => [4,5,1]
[3,7,8,10,1,4,5,6,9,2] => [4,5,1]
[3,7,9,10,1,4,5,6,8,2] => [4,5,1]
[3,8,9,10,1,4,5,6,7,2] => [4,5,1]
[4,5,7,9,1,3,6,8,10,2] => [4,5,1]
[4,5,7,10,1,3,6,8,9,2] => [4,5,1]
[4,5,8,9,1,3,6,7,10,2] => [4,5,1]
[4,5,8,10,1,3,6,7,9,2] => [4,5,1]
[4,5,9,10,1,3,6,7,8,2] => [4,5,1]
[4,6,7,9,1,3,5,8,10,2] => [4,5,1]
[4,6,7,10,1,3,5,8,9,2] => [4,5,1]
[4,6,8,9,1,3,5,7,10,2] => [4,5,1]
[4,6,8,10,1,3,5,7,9,2] => [4,5,1]
[4,6,9,10,1,3,5,7,8,2] => [4,5,1]
[4,7,8,9,1,3,5,6,10,2] => [4,5,1]
[4,7,8,10,1,3,5,6,9,2] => [4,5,1]
[4,7,9,10,1,3,5,6,8,2] => [4,5,1]
[4,8,9,10,1,3,5,6,7,2] => [4,5,1]
[5,6,7,9,1,3,4,8,10,2] => [4,5,1]
[5,6,7,10,1,3,4,8,9,2] => [4,5,1]
[5,6,8,9,1,3,4,7,10,2] => [4,5,1]
[5,6,8,10,1,3,4,7,9,2] => [4,5,1]
[5,6,9,10,1,3,4,7,8,2] => [4,5,1]
[5,7,8,9,1,3,4,6,10,2] => [4,5,1]
[5,7,8,10,1,3,4,6,9,2] => [4,5,1]
[5,7,9,10,1,3,4,6,8,2] => [4,5,1]
[5,8,9,10,1,3,4,6,7,2] => [4,5,1]
[6,7,8,9,1,3,4,5,10,2] => [4,5,1]
[6,7,8,10,1,3,4,5,9,2] => [4,5,1]
[6,7,9,10,1,3,4,5,8,2] => [4,5,1]
[6,8,9,10,1,3,4,5,7,2] => [4,5,1]
[2,1,4,3,6,5,10,7,9,8] => [1,2,2,2,2,1]
[2,1,4,3,8,5,7,6,10,9] => [1,2,2,2,2,1]
[2,1,4,3,10,9,7,5,6,8] => [1,2,2,1,1,3]
[2,1,4,3,10,5,6,8,9,7] => [1,2,2,4,1]
[2,1,6,3,5,4,8,7,10,9] => [1,2,2,2,2,1]
[2,1,6,3,5,4,10,7,9,8] => [1,2,2,2,2,1]
[2,1,8,7,5,3,4,6,10,9] => [1,2,1,1,4,1]
[2,1,10,7,5,9,4,3,6,8] => [1,2,1,2,1,3]
[2,1,10,8,5,3,6,4,9,7] => [1,2,1,1,2,2,1]
[2,1,8,3,4,6,7,5,10,9] => [1,2,4,2,1]
[2,1,10,9,4,6,7,3,5,8] => [1,2,1,3,3]
[2,1,10,3,9,6,4,8,5,7] => [1,2,2,1,2,2]
[2,1,10,3,4,5,7,8,9,6] => [1,2,6,1]
[4,1,3,2,6,5,8,7,10,9] => [1,2,2,2,2,1]
[4,1,3,2,6,5,10,7,9,8] => [1,2,2,2,2,1]
[4,1,3,2,8,5,7,6,10,9] => [1,2,2,2,2,1]
[4,1,3,2,10,9,7,5,6,8] => [1,2,2,1,1,3]
[4,1,3,2,10,5,6,8,9,7] => [1,2,2,4,1]
[6,5,3,1,2,4,10,7,9,8] => [1,1,1,4,2,1]
[8,5,3,7,2,1,4,6,10,9] => [1,1,2,1,4,1]
[10,5,3,7,2,9,4,1,6,8] => [1,1,2,2,1,3]
[10,5,3,8,2,1,6,4,9,7] => [1,1,2,1,2,2,1]
[8,6,3,1,4,2,7,5,10,9] => [1,1,1,2,2,2,1]
[10,6,3,9,4,2,7,1,5,8] => [1,1,2,1,2,3]
[10,6,3,1,9,2,4,8,5,7] => [1,1,1,2,3,2]
[10,7,3,1,4,5,2,8,9,6] => [1,1,1,3,3,1]
[6,1,2,4,5,3,8,7,10,9] => [1,4,2,2,1]
[6,1,2,4,5,3,10,7,9,8] => [1,4,2,2,1]
[8,7,2,4,5,1,3,6,10,9] => [1,1,3,4,1]
[10,7,2,4,5,9,3,1,6,8] => [1,1,4,1,3]
[10,8,2,4,5,1,6,3,9,7] => [1,1,3,2,2,1]
[8,1,7,4,2,6,3,5,10,9] => [1,2,1,2,3,1]
[10,9,7,4,2,6,3,1,5,8] => [1,1,1,1,2,1,3]
[10,1,8,4,9,6,2,3,5,7] => [1,2,2,1,4]
[10,1,8,4,2,5,7,3,9,6] => [1,2,1,3,2,1]
[8,1,2,3,5,6,7,4,10,9] => [1,6,2,1]
[10,9,2,3,5,6,7,1,4,8] => [1,1,5,3]
[10,1,9,3,5,6,2,8,4,7] => [1,2,3,2,2]
[10,1,2,9,5,3,7,8,4,6] => [1,3,1,3,2]
[2,1,10,9,5,7,6,8,4,3] => [1,2,1,2,2,1,1]
[2,1,10,9,7,6,5,8,4,3] => [1,2,1,1,1,2,1,1]
[8,7,3,5,4,6,2,1,10,9] => [1,1,2,2,1,2,1]
[10,9,3,5,4,7,6,8,2,1] => [1,1,2,2,2,1,1]
[10,9,3,5,4,8,7,6,2,1] => [1,1,2,2,1,1,1,1]
[10,9,3,7,6,5,4,8,2,1] => [1,1,2,1,1,2,1,1]
[8,7,5,4,3,6,2,1,10,9] => [1,1,1,1,2,1,2,1]
[10,9,5,4,3,7,6,8,2,1] => [1,1,1,1,2,2,1,1]
[10,9,5,4,3,8,7,6,2,1] => [1,1,1,1,2,1,1,1,1]
[10,9,7,6,5,4,3,8,2,1] => [1,1,1,1,1,1,2,1,1]
[9,6,1,2,3,4,5,10,7,8] => [1,1,6,2]
[10,5,1,2,3,4,9,6,7,8] => [1,1,5,3]
[9,4,1,2,3,10,5,6,7,8] => [1,1,4,4]
[9,3,1,2,10,4,5,6,7,8] => [1,1,3,5]
[10,2,1,9,3,4,5,6,7,8] => [1,1,2,6]
[6,1,5,2,4,3,7,8,9,10] => [1,2,2,5]
[2,5,1,4,3,6,7,8,9,10] => [2,2,6]
[3,2,4,1,5,6,7,8,9,10] => [1,2,7]
[8,1,7,2,6,3,5,4,9,10] => [1,2,2,2,3]
[2,7,1,6,3,5,4,8,9,10] => [2,2,2,4]
[3,4,6,1,5,2,7,8,9,10] => [3,2,5]
[3,2,6,1,5,4,7,8,9,10] => [1,2,2,5]
[3,4,2,5,1,6,7,8,9,10] => [2,2,6]
[2,9,1,8,3,7,4,6,5,10] => [2,2,2,2,2]
[3,4,8,1,7,2,6,5,9,10] => [3,2,2,3]
[3,2,8,1,7,4,6,5,9,10] => [1,2,2,2,3]
[5,7,2,4,1,6,3,8,9,10] => [2,2,2,4]
[3,4,2,7,1,6,5,8,9,10] => [2,2,2,4]
[4,3,5,2,6,1,7,8,9,10] => [1,2,2,5]
[3,4,10,1,9,2,8,5,7,6] => [3,2,2,2,1]
[3,2,10,1,9,4,8,5,7,6] => [1,2,2,2,2,1]
[4,5,6,9,1,8,2,7,3,10] => [4,2,2,2]
[3,4,2,9,1,8,5,7,6,10] => [2,2,2,2,2]
[6,3,5,4,8,1,7,2,9,10] => [1,2,2,2,3]
[3,6,8,2,5,1,7,4,9,10] => [3,2,2,3]
[4,3,5,2,8,1,7,6,9,10] => [1,2,2,2,3]
[4,5,3,6,2,7,1,8,9,10] => [2,2,2,4]
[6,7,10,2,9,1,5,3,8,4] => [3,2,2,2,1]
[6,3,5,4,10,1,9,2,8,7] => [1,2,2,2,2,1]
[3,6,10,2,5,1,9,4,8,7] => [3,2,2,2,1]
[4,3,5,2,10,1,9,6,8,7] => [1,2,2,2,2,1]
[4,7,2,9,5,6,1,8,3,10] => [2,2,2,2,2]
[4,3,7,9,2,6,1,8,5,10] => [1,3,2,2,2]
[4,5,3,6,2,9,1,8,7,10] => [2,2,2,2,2]
[5,4,6,3,7,2,8,1,9,10] => [1,2,2,2,3]
[5,6,8,3,7,4,10,1,9,2] => [3,2,2,2,1]
[8,3,5,2,10,6,7,1,9,4] => [1,2,2,2,2,1]
[4,5,3,8,10,2,7,1,9,6] => [2,3,2,2,1]
[5,4,6,3,7,2,10,1,9,8] => [1,2,2,2,2,1]
[10,8,9,4,7,6,1,5,3,2] => [1,2,2,1,2,1,1]
[10,7,9,5,8,6,1,4,3,2] => [1,2,2,1,2,1,1]
[10,7,9,4,8,6,1,5,3,2] => [1,2,2,1,2,1,1]
[10,6,9,4,8,7,1,5,3,2] => [1,2,2,1,2,1,1]
[10,7,9,3,8,6,1,5,4,2] => [1,2,2,1,2,1,1]
[10,6,9,3,8,7,1,5,4,2] => [1,2,2,1,2,1,1]
[9,8,10,5,7,6,1,4,3,2] => [1,2,2,1,2,1,1]
[9,8,10,4,7,6,1,5,3,2] => [1,2,2,1,2,1,1]
[9,7,10,5,8,6,1,4,3,2] => [1,2,2,1,2,1,1]
[9,7,10,4,8,6,1,5,3,2] => [1,2,2,1,2,1,1]
[9,6,10,4,8,7,1,5,3,2] => [1,2,2,1,2,1,1]
[9,7,10,3,8,6,1,5,4,2] => [1,2,2,1,2,1,1]
[9,6,10,3,8,7,1,5,4,2] => [1,2,2,1,2,1,1]
[8,7,10,5,9,6,1,4,3,2] => [1,2,2,1,2,1,1]
[8,7,10,4,9,6,1,5,3,2] => [1,2,2,1,2,1,1]
[8,6,10,4,9,7,1,5,3,2] => [1,2,2,1,2,1,1]
[7,6,10,4,9,8,1,5,3,2] => [1,2,2,1,2,1,1]
[8,7,10,3,9,6,1,5,4,2] => [1,2,2,1,2,1,1]
[8,6,10,3,9,7,1,5,4,2] => [1,2,2,1,2,1,1]
[7,6,10,3,9,8,1,5,4,2] => [1,2,2,1,2,1,1]
[9,6,10,5,8,7,1,4,3,2] => [1,2,2,1,2,1,1]
[9,5,10,4,8,7,1,6,3,2] => [1,2,2,1,2,1,1]
[9,5,10,3,8,7,1,6,4,2] => [1,2,2,1,2,1,1]
[8,6,10,5,9,7,1,4,3,2] => [1,2,2,1,2,1,1]
[8,5,10,4,9,7,1,6,3,2] => [1,2,2,1,2,1,1]
[7,5,10,4,9,8,1,6,3,2] => [1,2,2,1,2,1,1]
[8,5,10,3,9,7,1,6,4,2] => [1,2,2,1,2,1,1]
[7,5,10,3,9,8,1,6,4,2] => [1,2,2,1,2,1,1]
[8,4,10,3,9,7,1,6,5,2] => [1,2,2,1,2,1,1]
[7,4,10,3,9,8,1,6,5,2] => [1,2,2,1,2,1,1]
[9,6,10,2,8,7,1,5,4,3] => [1,2,2,1,2,1,1]
[9,5,10,2,8,7,1,6,4,3] => [1,2,2,1,2,1,1]
[8,6,10,2,9,7,1,5,4,3] => [1,2,2,1,2,1,1]
[8,5,10,2,9,7,1,6,4,3] => [1,2,2,1,2,1,1]
[7,5,10,2,9,8,1,6,4,3] => [1,2,2,1,2,1,1]
[8,4,10,2,9,7,1,6,5,3] => [1,2,2,1,2,1,1]
[2,1,4,3,6,5,10,7,8,9] => [1,2,2,2,3]
[2,1,4,3,8,5,6,7,10,9] => [1,2,2,4,1]
[2,1,4,3,10,9,6,5,8,7] => [1,2,2,1,1,2,1]
[2,1,4,3,10,5,6,7,8,9] => [1,2,2,5]
[2,1,6,3,4,5,8,7,10,9] => [1,2,4,2,1]
[2,1,6,3,4,5,10,7,8,9] => [1,2,4,3]
[2,1,10,7,4,9,6,3,8,5] => [1,2,1,2,1,2,1]
[2,1,10,9,4,3,6,7,8,5] => [1,2,1,1,4,1]
[2,1,8,3,4,5,6,7,10,9] => [1,2,6,1]
[2,1,10,9,4,5,6,3,8,7] => [1,2,1,3,2,1]
[2,1,10,3,8,5,4,7,6,9] => [1,2,2,1,2,2]
[4,1,2,3,6,5,10,7,8,9] => [1,4,2,3]
[4,1,2,3,8,5,6,7,10,9] => [1,4,4,1]
[4,1,2,3,10,9,6,5,8,7] => [1,4,1,1,2,1]
[6,5,2,1,4,3,8,7,10,9] => [1,1,1,2,2,2,1]
[6,5,2,1,4,3,10,7,8,9] => [1,1,1,2,2,3]
[8,5,2,7,4,1,6,3,10,9] => [1,1,2,1,2,2,1]
[10,5,2,7,4,9,6,1,8,3] => [1,1,2,2,1,2,1]
[10,5,2,9,4,1,6,7,8,3] => [1,1,2,1,4,1]
[8,7,2,1,4,5,6,3,10,9] => [1,1,1,4,2,1]
[10,7,2,9,4,5,6,1,8,3] => [1,1,2,3,2,1]
[10,9,2,1,8,5,4,7,6,3] => [1,1,1,2,1,2,1,1]
[10,9,2,1,4,5,6,7,8,3] => [1,1,1,6,1]
[6,1,2,3,4,5,8,7,10,9] => [1,6,2,1]
[8,7,2,3,4,1,6,5,10,9] => [1,1,3,2,2,1]
[10,7,2,3,4,9,6,1,8,5] => [1,1,4,1,2,1]
[10,9,2,3,4,1,6,7,8,5] => [1,1,3,4,1]
[8,1,6,3,2,5,4,7,10,9] => [1,2,1,2,3,1]
[10,9,6,3,2,5,4,1,8,7] => [1,1,1,1,2,1,2,1]
[10,1,6,3,8,5,2,7,4,9] => [1,2,2,1,2,2]
[10,1,8,3,2,5,6,7,4,9] => [1,2,1,4,2]
[10,9,2,3,4,5,6,1,8,7] => [1,1,5,2,1]
[10,1,8,3,4,5,2,7,6,9] => [1,2,3,2,2]
[10,1,2,7,4,3,6,5,8,9] => [1,3,1,2,3]
[8,6,1,2,3,4,5,10,7,9] => [1,1,6,2]
[5,7,1,2,3,4,10,6,8,9] => [2,5,3]
[6,4,1,2,3,10,5,7,8,9] => [1,1,4,4]
[5,3,1,2,10,4,6,7,8,9] => [1,1,3,5]
[2,4,1,10,3,5,6,7,8,9] => [2,2,6]
[7,5,6,4,8,3,9,2,10,1] => [1,2,2,2,2,1]
[8,6,4,5,7,3,9,2,10,1] => [1,1,3,2,2,1]
[9,7,8,5,3,4,6,2,10,1] => [1,2,1,3,2,1]
[9,6,4,5,3,7,8,2,10,1] => [1,1,2,3,2,1]
[9,7,5,3,4,6,8,2,10,1] => [1,1,1,4,2,1]
[9,7,8,6,10,4,2,3,5,1] => [1,2,2,1,3,1]
[10,8,6,7,9,4,2,3,5,1] => [1,1,3,1,3,1]
[10,8,9,5,3,4,2,6,7,1] => [1,2,1,2,3,1]
[10,8,9,6,4,2,3,5,7,1] => [1,2,1,1,4,1]
[10,6,4,5,3,7,2,8,9,1] => [1,1,2,2,3,1]
[10,7,5,3,4,6,2,8,9,1] => [1,1,1,3,3,1]
[10,8,6,7,4,2,3,5,9,1] => [1,1,2,1,4,1]
[10,8,5,3,4,2,6,7,9,1] => [1,1,1,2,4,1]
[10,8,6,4,2,3,5,7,9,1] => [1,1,1,1,5,1]
[8,6,7,5,9,4,10,2,1,3] => [1,2,2,2,1,2]
[9,7,5,6,8,4,10,2,1,3] => [1,1,3,2,1,2]
[10,8,9,6,4,5,7,2,1,3] => [1,2,1,3,1,2]
[10,7,5,6,4,8,9,2,1,3] => [1,1,2,3,1,2]
[10,8,6,4,5,7,9,2,1,3] => [1,1,1,4,1,2]
[8,6,7,5,9,3,2,4,1,10] => [1,2,2,1,2,2]
[9,7,5,6,8,3,2,4,1,10] => [1,1,3,1,2,2]
[10,7,5,6,4,8,2,1,3,9] => [1,1,2,2,1,3]
[10,8,6,4,5,7,2,1,3,9] => [1,1,1,3,1,3]
[8,6,7,4,3,5,2,9,1,10] => [1,2,1,2,2,2]
[9,7,5,6,3,2,4,8,1,10] => [1,1,2,1,3,2]
[10,8,9,6,4,5,2,1,3,7] => [1,2,1,2,1,3]
[10,7,5,6,3,2,4,1,8,9] => [1,1,2,1,2,3]
[10,8,6,4,5,2,1,3,7,9] => [1,1,1,2,1,4]
[7,5,4,6,3,8,2,9,1,10] => [1,1,2,2,2,2]
[8,6,4,3,5,7,2,9,1,10] => [1,1,1,3,2,2]
[9,7,8,6,4,2,3,5,1,10] => [1,2,1,1,3,2]
[9,6,4,3,5,2,7,8,1,10] => [1,1,1,2,3,2]
[9,7,5,3,2,4,6,8,1,10] => [1,1,1,1,4,2]
[9,7,8,6,10,5,3,1,2,4] => [1,2,2,1,1,3]
[10,8,6,7,9,5,3,1,2,4] => [1,1,3,1,1,3]
[10,8,9,7,4,2,3,1,5,6] => [1,2,1,1,2,3]
[10,8,9,7,5,3,1,2,4,6] => [1,2,1,1,1,4]
[10,6,4,3,5,2,7,1,8,9] => [1,1,1,2,2,3]
[10,7,5,3,2,4,6,1,8,9] => [1,1,1,1,3,3]
[10,8,6,7,5,3,1,2,4,9] => [1,1,2,1,1,4]
[10,8,5,3,2,4,1,6,7,9] => [1,1,1,1,2,4]
[1,10,8,9,7,6,5,4,3,2] => [2,2,1,1,1,1,1,1]
[1,10,8,6,5,4,3,2,7,9] => [2,1,1,1,1,1,3]
[1,9,7,5,4,3,2,6,10,8] => [2,1,1,1,1,3,1]
[1,10,8,6,4,3,2,5,9,7] => [2,1,1,1,1,3,1]
[1,10,8,6,4,9,7,5,3,2] => [2,1,1,2,1,1,1,1]
[1,9,7,5,3,10,8,6,4,2] => [2,1,1,2,1,1,1,1]
[1,7,10,8,9,6,5,4,3,2] => [3,2,1,1,1,1,1]
[1,6,10,8,5,4,3,2,7,9] => [3,1,1,1,1,3]
[1,5,9,7,4,3,2,6,10,8] => [3,1,1,1,3,1]
[1,4,10,8,6,3,2,5,9,7] => [3,1,1,1,3,1]
[1,3,10,8,6,4,9,7,5,2] => [3,1,1,2,1,1,1]
[1,2,9,7,5,3,10,8,6,4] => [3,1,1,2,1,1,1]
[2,4,1,5,6,7,8,10,3,9] => [2,6,2]
[3,1,5,2,6,7,8,9,10,4] => [1,2,6,1]
[3,10,9,8,7,1,6,5,4,2] => [2,1,1,1,2,1,1,1]
[4,10,9,8,7,1,6,5,3,2] => [2,1,1,1,2,1,1,1]
[5,10,9,8,7,1,6,4,3,2] => [2,1,1,1,2,1,1,1]
[1,3,5,7,2,9,4,6,8,10] => [4,2,4]
[1,3,5,7,2,9,4,10,6,8] => [4,2,2,2]
[1,3,5,7,2,8,4,9,6,10] => [4,2,2,2]
[1,3,5,6,2,7,4,9,8,10] => [4,2,2,2]
[1,3,4,5,2,7,6,9,8,10] => [4,2,2,2]
[10,1,2,3,4,5,7,8,9,6] => [1,8,1]
[8,1,2,3,4,5,10,7,9,6] => [1,6,2,1]
[8,1,2,3,4,5,9,7,10,6] => [1,6,2,1]
[9,1,2,3,4,10,6,7,8,5] => [1,5,3,1]
[8,1,2,3,4,10,6,7,9,5] => [1,5,3,1]
[8,1,2,3,4,9,6,7,10,5] => [1,5,3,1]
[7,1,2,3,4,9,6,10,8,5] => [1,5,2,1,1]
[7,1,2,3,4,8,6,9,10,5] => [1,5,3,1]
[8,1,2,3,10,5,6,7,9,4] => [1,4,4,1]
[8,1,2,3,9,5,6,7,10,4] => [1,4,4,1]
[7,1,2,3,10,5,6,8,9,4] => [1,4,4,1]
[7,1,2,3,8,5,6,9,10,4] => [1,4,4,1]
[6,1,2,3,8,5,10,7,9,4] => [1,4,2,2,1]
[6,1,2,3,8,5,9,7,10,4] => [1,4,2,2,1]
[6,1,2,3,7,5,8,9,10,4] => [1,4,4,1]
[6,1,2,9,4,5,10,7,8,3] => [1,3,3,2,1]
[6,1,2,8,4,5,10,7,9,3] => [1,3,3,2,1]
[6,1,2,8,4,5,9,7,10,3] => [1,3,3,2,1]
[6,1,2,7,4,5,8,9,10,3] => [1,3,5,1]
[5,1,2,7,4,9,6,10,8,3] => [1,3,2,2,1,1]
[5,1,2,7,4,8,6,9,10,3] => [1,3,2,3,1]
[5,1,2,6,4,7,8,9,10,3] => [1,3,5,1]
[4,1,6,3,8,5,9,7,10,2] => [1,2,2,2,2,1]
[4,1,6,3,7,5,8,9,10,2] => [1,2,2,4,1]
[4,1,5,3,6,7,8,9,10,2] => [1,2,6,1]
[1,10,9,8,7,6,5,3,2,4] => [2,1,1,1,1,1,1,2]
[1,10,9,8,7,6,4,3,2,5] => [2,1,1,1,1,1,1,2]
[1,10,9,8,7,5,4,3,2,6] => [2,1,1,1,1,1,1,2]
[1,10,9,8,6,5,4,3,2,7] => [2,1,1,1,1,1,1,2]
[1,10,9,7,6,5,4,3,2,8] => [2,1,1,1,1,1,1,2]
[1,10,8,7,6,5,4,3,2,9] => [2,1,1,1,1,1,1,2]
[9,10,2,3,4,5,6,7,1,8] => [2,6,2]
[8,9,10,2,3,4,5,6,1,7] => [3,5,2]
[7,8,9,10,2,3,4,5,1,6] => [4,4,2]
[5,6,7,8,9,10,2,3,1,4] => [6,2,2]
[4,5,6,7,8,9,10,2,1,3] => [7,1,2]
[8,10,3,4,5,6,7,2,1,9] => [2,5,1,2]
[3,10,2,1,5,6,7,8,9,4] => [2,1,6,1]
[3,9,1,4,5,6,7,8,2,10] => [2,6,2]
[3,4,5,6,7,8,1,9,2,10] => [6,2,2]
[4,5,6,7,8,9,2,10,1,3] => [6,2,2]
[2,10,9,8,7,6,1,5,4,3] => [2,1,1,1,1,2,1,1]
[2,10,9,8,1,7,6,5,4,3] => [2,1,1,2,1,1,1,1]
[2,10,9,1,8,7,6,5,4,3] => [2,1,2,1,1,1,1,1]
[1,3,5,7,9,10,2,4,6,8] => [6,4]
[1,3,5,8,9,2,10,4,6,7] => [5,2,3]
[1,3,6,7,2,9,10,4,5,8] => [4,3,3]
[1,3,6,8,9,2,4,10,5,7] => [5,3,2]
[1,3,7,8,2,9,4,10,5,6] => [4,2,2,2]
[1,4,5,2,7,9,10,3,6,8] => [3,4,3]
[1,4,5,2,8,9,3,10,6,7] => [3,3,2,2]
[1,4,6,7,2,3,9,10,5,8] => [4,4,2]
[1,5,6,2,7,3,9,10,4,8] => [3,2,3,2]
[1,4,6,8,9,2,3,5,10,7] => [5,4,1]
[1,4,7,8,2,9,3,5,10,6] => [4,2,3,1]
[1,5,6,2,8,9,3,4,10,7] => [3,3,3,1]
[1,5,7,8,2,3,9,4,10,6] => [4,3,2,1]
[1,6,7,2,8,3,9,4,10,5] => [3,2,2,2,1]
[2,3,1,5,7,9,10,4,6,8] => [2,5,3]
[2,3,1,5,8,9,4,10,6,7] => [2,4,2,2]
[2,3,1,6,7,4,9,10,5,8] => [2,3,3,2]
[2,3,1,6,8,9,4,5,10,7] => [2,4,3,1]
[2,3,1,7,8,4,9,5,10,6] => [2,3,2,2,1]
[2,4,5,1,3,7,9,10,6,8] => [3,5,2]
[2,4,5,1,3,8,9,6,10,7] => [3,4,2,1]
[3,4,1,5,2,7,9,10,6,8] => [2,2,4,2]
[3,4,1,5,2,8,9,6,10,7] => [2,2,3,2,1]
[2,4,6,7,1,3,5,9,10,8] => [4,5,1]
[2,5,6,1,7,3,4,9,10,8] => [3,2,4,1]
[3,4,1,6,7,2,5,9,10,8] => [2,3,4,1]
[3,5,6,1,2,7,4,9,10,8] => [3,3,3,1]
[4,5,1,6,2,7,3,9,10,8] => [2,2,2,3,1]
[2,4,6,8,9,1,3,5,7,10] => [5,5]
[2,4,7,8,1,9,3,5,6,10] => [4,2,4]
[2,5,6,1,8,9,3,4,7,10] => [3,3,4]
[2,5,7,8,1,3,9,4,6,10] => [4,3,3]
[2,6,7,1,8,3,9,4,5,10] => [3,2,2,3]
[3,4,1,6,8,9,2,5,7,10] => [2,4,4]
[3,4,1,7,8,2,9,5,6,10] => [2,3,2,3]
[3,5,6,1,2,8,9,4,7,10] => [3,4,3]
[4,5,1,6,2,8,9,3,7,10] => [2,2,3,3]
[3,5,7,8,1,2,4,9,6,10] => [4,4,2]
[3,6,7,1,8,2,4,9,5,10] => [3,2,3,2]
[4,5,1,7,8,2,3,9,6,10] => [2,3,3,2]
[4,6,7,1,2,8,3,9,5,10] => [3,3,2,2]
[5,6,1,7,2,8,3,9,4,10] => [2,2,2,2,2]
[1,2,3,4,5,6,8,9,7,10] => [8,2]
[10,1,2,3,4,5,9,7,6,8] => [1,6,1,2]
[10,1,2,3,4,9,6,7,5,8] => [1,5,2,2]
[9,1,2,3,10,5,6,7,4,8] => [1,4,3,2]
[10,1,2,9,4,5,6,7,3,8] => [1,3,4,2]
[10,1,9,3,4,5,6,7,2,8] => [1,2,5,2]
[8,1,2,3,4,5,10,6,9,7] => [1,6,2,1]
[7,1,2,3,4,9,5,6,10,8] => [1,5,3,1]
[6,1,2,3,9,4,5,7,10,8] => [1,4,4,1]
[5,1,2,10,3,4,6,7,9,8] => [1,3,5,1]
[4,1,9,2,3,5,6,7,10,8] => [1,2,6,1]
[3,9,1,2,4,5,6,7,10,8] => [2,7,1]
[10,2,1,3,4,5,6,7,9,8] => [1,1,7,1]
[1,2,3,4,5,7,8,6,9,10] => [7,3]
[1,2,3,4,5,7,8,9,6,10] => [8,2]
[2,4,5,6,1,7,8,9,10,3] => [4,5,1]
[2,3,5,6,1,7,8,9,10,4] => [4,5,1]
[10,1,4,6,2,7,9,3,5,8] => [1,3,3,3]
[4,1,2,10,6,7,9,3,5,8] => [1,3,3,3]
[7,1,10,6,2,3,9,4,5,8] => [1,2,1,3,3]
[10,1,2,7,6,3,9,4,5,8] => [1,3,1,2,3]
[10,1,2,3,6,7,9,4,5,8] => [1,6,3]
[6,1,4,5,2,10,9,3,7,8] => [1,3,2,1,3]
[4,1,2,5,6,10,9,3,7,8] => [1,5,1,3]
[10,1,6,5,2,3,9,4,7,8] => [1,2,1,3,3]
[10,1,2,5,6,3,9,4,7,8] => [1,4,2,3]
[5,1,2,3,6,10,9,4,7,8] => [1,5,1,3]
[10,1,9,5,2,3,4,6,7,8] => [1,2,1,6]
[10,1,2,5,9,3,4,6,7,8] => [1,4,5]
[9,8,10,1,4,5,6,7,2,3] => [1,2,5,2]
[6,9,1,2,3,4,5,7,10,8] => [2,7,1]
[5,6,9,1,2,3,4,7,10,8] => [3,6,1]
[4,5,6,9,1,2,3,7,10,8] => [4,5,1]
[3,4,5,6,9,1,2,7,10,8] => [5,4,1]
[2,3,4,5,6,9,1,7,10,8] => [6,3,1]
[7,1,10,9,2,3,4,5,6,8] => [1,2,1,6]
[6,7,9,1,2,3,4,5,10,8] => [3,6,1]
[2,8,1,9,10,3,4,5,6,7] => [2,3,5]
[8,7,1,10,2,3,4,5,6,9] => [1,1,2,6]
[1,5,2,8,6,3,10,9,7,4] => [2,2,1,2,1,1,1]
[4,1,5,2,8,6,3,10,9,7] => [1,2,2,1,2,1,1]
[1,7,5,2,8,6,3,10,9,4] => [2,1,2,1,2,1,1]
[4,1,7,5,2,8,3,10,9,6] => [1,2,1,2,2,1,1]
[6,4,1,7,5,2,8,3,10,9] => [1,1,2,1,2,2,1]
[3,4,1,7,2,8,5,10,9,6] => [2,2,2,2,1,1]
[3,6,4,1,7,2,8,5,10,9] => [2,1,2,2,2,1]
[1,5,2,9,8,6,3,10,7,4] => [2,2,1,1,2,1,1]
[4,1,5,2,9,8,6,3,10,7] => [1,2,2,1,1,2,1]
[1,7,5,2,9,6,3,10,8,4] => [2,1,2,1,2,1,1]
[4,1,7,5,2,9,3,10,8,6] => [1,2,1,2,2,1,1]
[4,1,9,6,5,2,7,3,10,8] => [1,2,1,1,2,2,1]
[3,4,1,7,2,9,5,10,8,6] => [2,2,2,2,1,1]
[3,6,1,9,4,2,7,5,10,8] => [2,2,1,2,2,1]
[1,8,7,5,2,9,6,3,10,4] => [2,1,1,2,1,2,1]
[4,1,8,7,5,2,9,3,10,6] => [1,2,1,1,2,2,1]
[6,4,1,8,5,2,9,3,10,7] => [1,1,2,1,2,2,1]
[7,6,4,1,8,5,2,9,3,10] => [1,1,1,2,1,2,2]
[3,4,1,8,7,2,9,5,10,6] => [2,2,1,2,2,1]
[3,6,4,1,8,2,9,5,10,7] => [2,1,2,2,2,1]
[3,7,6,4,1,8,2,9,5,10] => [2,1,1,2,2,2]
[1,9,6,5,2,7,3,10,8,4] => [2,1,1,2,2,1,1]
[6,1,9,4,2,7,3,10,8,5] => [1,2,1,2,2,1,1]
[5,4,1,9,6,2,7,3,10,8] => [1,1,2,1,2,2,1]
[9,3,1,6,2,7,4,10,8,5] => [1,1,2,2,2,1,1]
[9,5,3,1,6,2,7,4,10,8] => [1,1,1,2,2,2,1]
[6,1,8,5,2,9,7,3,10,4] => [1,2,1,2,1,2,1]
[6,4,1,8,2,9,7,3,10,5] => [1,1,2,2,1,2,1]
[8,5,4,1,6,2,9,3,10,7] => [1,1,1,2,2,2,1]
[5,7,4,1,8,6,2,9,3,10] => [2,1,2,1,2,2]
[3,6,1,8,2,9,7,4,10,5] => [2,2,2,1,2,1]
[5,8,3,1,6,2,9,4,10,7] => [2,1,2,2,2,1]
[5,3,7,1,8,6,2,9,4,10] => [1,2,2,1,2,2]
[4,3,8,1,9,5,2,6,10,7] => [1,2,2,1,3,1]
[7,4,3,5,1,8,2,9,6,10] => [1,1,2,2,2,2]
[9,6,2,1,3,7,4,10,8,5] => [1,1,1,3,2,1,1]
[5,9,2,1,6,3,7,4,10,8] => [2,1,2,2,2,1]
[6,8,2,1,3,9,7,4,10,5] => [2,1,3,1,2,1]
[8,2,5,1,6,3,9,4,10,7] => [1,2,2,2,2,1]
[2,5,7,1,8,6,3,9,4,10] => [3,2,1,2,2]
[2,4,8,1,9,5,3,6,10,7] => [3,2,1,3,1]
[7,8,10,9,6,5,4,3,2,1] => [3,1,1,1,1,1,1,1]
[8,7,9,10,6,5,4,3,2,1] => [1,3,1,1,1,1,1,1]
[7,8,9,10,1,5,6,3,4,2] => [4,3,2,1]
[4,3,1,6,2,8,5,10,7,9] => [1,1,2,2,2,2]
[6,3,1,5,2,8,4,10,7,9] => [1,1,2,2,2,2]
[8,3,1,5,2,7,4,10,6,9] => [1,1,2,2,2,2]
[9,3,1,5,2,7,4,6,10,8] => [1,1,2,2,3,1]
[7,3,1,5,2,4,9,6,10,8] => [1,1,2,3,2,1]
[5,3,1,2,7,4,9,6,10,8] => [1,1,3,2,2,1]
[8,3,1,5,6,2,4,10,7,9] => [1,1,3,3,2]
[10,3,1,5,2,7,8,4,6,9] => [1,1,2,3,3]
[8,3,1,5,2,7,4,9,10,6] => [1,1,2,2,3,1]
[10,3,1,5,2,7,4,6,8,9] => [1,1,2,2,4]
[7,3,1,5,2,4,10,9,6,8] => [1,1,2,3,1,2]
[5,3,1,2,9,7,4,6,10,8] => [1,1,3,1,3,1]
[3,1,7,5,2,4,9,6,10,8] => [1,2,1,3,2,1]
[10,9,8,5,7,6,4,3,2,1] => [1,1,1,2,1,1,1,1,1]
[10,9,8,4,7,6,5,3,2,1] => [1,1,1,2,1,1,1,1,1]
[10,9,4,8,7,6,5,3,2,1] => [1,1,2,1,1,1,1,1,1]
[10,3,9,8,7,6,5,4,2,1] => [1,2,1,1,1,1,1,1,1]
[10,2,9,8,7,6,5,4,3,1] => [1,2,1,1,1,1,1,1,1]
[9,10,2,1,6,4,3,5,7,8] => [2,1,2,1,4]
[7,10,2,1,8,4,3,5,6,9] => [2,1,2,1,4]
[2,9,1,10,7,4,3,5,6,8] => [2,2,1,1,4]
[2,8,1,9,4,3,10,5,6,7] => [2,2,1,2,3]
[10,8,5,2,1,6,3,4,7,9] => [1,1,1,1,2,4]
[9,5,2,1,10,6,3,4,7,8] => [1,1,1,2,1,4]
[10,7,2,1,8,5,3,4,6,9] => [1,1,1,2,1,4]
[9,2,1,10,7,5,3,4,6,8] => [1,1,2,1,1,4]
[2,8,1,9,3,10,5,4,6,7] => [2,2,2,1,3]
[10,6,2,1,7,3,8,4,5,9] => [1,1,1,2,2,3]
[9,2,1,10,6,3,7,4,5,8] => [1,1,2,1,2,3]
[8,2,1,9,3,10,6,4,5,7] => [1,1,2,2,1,3]
[7,2,1,8,3,9,4,10,5,6] => [1,1,2,2,2,2]
[10,8,6,3,1,4,2,5,7,9] => [1,1,1,1,2,4]
[3,9,1,10,6,4,2,5,7,8] => [2,2,1,1,4]
[10,7,3,1,8,4,2,5,6,9] => [1,1,1,2,1,4]
[9,3,1,10,7,4,2,5,6,8] => [1,1,2,1,1,4]
[8,3,1,9,4,2,10,5,6,7] => [1,1,2,1,2,3]
[10,8,5,1,6,3,2,4,7,9] => [1,1,1,2,1,4]
[9,5,1,10,6,3,2,4,7,8] => [1,1,2,1,1,4]
[10,7,1,8,5,3,2,4,6,9] => [1,1,2,1,1,4]
[9,1,10,7,5,3,2,4,6,8] => [1,2,1,1,1,4]
[8,3,1,9,2,10,5,4,6,7] => [1,1,2,2,1,3]
[10,6,1,7,3,2,8,4,5,9] => [1,1,2,1,2,3]
[9,1,10,6,3,2,7,4,5,8] => [1,2,1,1,2,3]
[8,1,9,3,2,10,6,4,5,7] => [1,2,1,2,1,3]
[7,1,8,3,2,9,4,10,5,6] => [1,2,1,2,2,2]
[10,8,4,1,5,2,6,3,7,9] => [1,1,1,2,2,3]
[9,4,1,10,5,2,6,3,7,8] => [1,1,2,1,2,3]
[10,7,1,8,4,2,5,3,6,9] => [1,1,2,1,2,3]
[9,1,10,7,4,2,5,3,6,8] => [1,2,1,1,2,3]
[8,1,9,4,2,10,5,3,6,7] => [1,2,1,2,1,3]
[10,6,1,7,2,8,4,3,5,9] => [1,1,2,2,1,3]
[9,1,10,6,2,7,4,3,5,8] => [1,2,1,2,1,3]
[8,1,9,2,10,6,4,3,5,7] => [1,2,2,1,1,3]
[7,1,8,2,9,4,3,10,5,6] => [1,2,2,1,2,2]
[10,5,1,6,2,7,3,8,4,9] => [1,1,2,2,2,2]
[9,1,10,5,2,6,3,7,4,8] => [1,2,1,2,2,2]
[8,1,9,2,10,5,3,6,4,7] => [1,2,2,1,2,2]
[7,1,8,2,9,3,10,5,4,6] => [1,2,2,2,1,2]
[2,1,9,10,3,4,5,6,7,8] => [1,3,6]
[4,2,1,3,6,5,8,7,10,9] => [1,1,3,2,2,1]
[6,2,4,1,3,5,8,7,10,9] => [1,2,4,2,1]
[8,2,4,1,6,3,5,7,10,9] => [1,2,2,4,1]
[10,2,4,1,6,3,8,5,7,9] => [1,2,2,2,3]
[9,2,4,1,6,3,8,5,7,10] => [1,2,2,2,3]
[7,2,4,1,6,3,5,9,8,10] => [1,2,2,3,2]
[5,2,4,1,3,7,6,9,8,10] => [1,2,3,2,2]
[10,2,3,1,4,5,6,7,8,9] => [1,2,7]
[10,9,8,6,5,7,4,3,2,1] => [1,1,1,1,2,1,1,1,1]
[10,9,8,4,5,7,6,3,2,1] => [1,1,1,3,1,1,1,1]
[10,9,8,5,4,6,7,3,2,1] => [1,1,1,1,3,1,1,1]
[10,1,2,3,4,5,8,6,9,7] => [1,6,2,1]
[9,1,2,3,4,7,5,6,10,8] => [1,5,3,1]
[9,1,2,3,6,4,5,7,10,8] => [1,4,4,1]
[10,1,2,5,3,4,6,7,9,8] => [1,3,5,1]
[9,1,4,2,3,5,6,7,10,8] => [1,2,6,1]
[1,9,2,3,4,5,6,7,10,8] => [2,7,1]
[2,1,10,3,4,5,6,7,9,8] => [1,2,6,1]
[1,4,9,2,3,5,6,7,10,8] => [3,6,1]
[8,1,3,4,5,6,9,7,10,2] => [1,6,2,1]
[4,1,5,10,2,3,6,7,9,8] => [1,3,5,1]
[3,9,10,1,2,4,5,7,6,8] => [3,5,2]
[1,3,5,8,9,7,10,6,4,2] => [5,2,1,1,1]
[1,3,6,7,5,9,10,8,4,2] => [4,3,1,1,1]
[1,3,6,8,9,7,5,10,4,2] => [5,1,2,1,1]
[1,3,7,8,6,9,5,10,4,2] => [4,2,2,1,1]
[1,4,5,3,7,9,10,8,6,2] => [3,4,1,1,1]
[1,4,5,3,8,9,7,10,6,2] => [3,3,2,1,1]
[1,4,6,7,5,3,9,10,8,2] => [4,1,3,1,1]
[1,5,6,4,7,3,9,10,8,2] => [3,2,3,1,1]
[1,4,6,8,9,7,5,3,10,2] => [5,1,1,2,1]
[1,4,7,8,6,9,5,3,10,2] => [4,2,1,2,1]
[1,5,6,4,8,9,7,3,10,2] => [3,3,1,2,1]
[1,5,7,8,6,4,9,3,10,2] => [4,1,2,2,1]
[2,3,1,5,7,9,10,8,6,4] => [2,5,1,1,1]
[2,3,1,5,8,9,7,10,6,4] => [2,4,2,1,1]
[2,3,1,6,7,5,9,10,8,4] => [2,3,3,1,1]
[2,3,1,6,8,9,7,5,10,4] => [2,4,1,2,1]
[2,3,1,7,8,6,9,5,10,4] => [2,3,2,2,1]
[2,4,5,3,1,7,9,10,8,6] => [3,1,4,1,1]
[2,4,5,3,1,8,9,7,10,6] => [3,1,3,2,1]
[3,4,2,5,1,7,9,10,8,6] => [2,2,4,1,1]
[3,4,2,5,1,8,9,7,10,6] => [2,2,3,2,1]
[2,4,6,7,5,3,1,9,10,8] => [4,1,1,3,1]
[2,5,6,4,7,3,1,9,10,8] => [3,2,1,3,1]
[3,4,2,6,7,5,1,9,10,8] => [2,3,1,3,1]
[3,5,6,4,2,7,1,9,10,8] => [3,1,2,3,1]
[4,5,3,6,2,7,1,9,10,8] => [2,2,2,3,1]
[2,4,6,8,9,7,5,3,1,10] => [5,1,1,1,2]
[2,4,7,8,6,9,5,3,1,10] => [4,2,1,1,2]
[2,5,6,4,8,9,7,3,1,10] => [3,3,1,1,2]
[2,5,7,8,6,4,9,3,1,10] => [4,1,2,1,2]
[2,6,7,5,8,4,9,3,1,10] => [3,2,2,1,2]
[3,4,2,6,8,9,7,5,1,10] => [2,4,1,1,2]
[3,4,2,7,8,6,9,5,1,10] => [2,3,2,1,2]
[3,5,6,4,2,8,9,7,1,10] => [3,1,3,1,2]
[4,5,3,6,2,8,9,7,1,10] => [2,2,3,1,2]
[3,5,7,8,6,4,2,9,1,10] => [4,1,1,2,2]
[3,6,7,5,8,4,2,9,1,10] => [3,2,1,2,2]
[4,5,3,7,8,6,2,9,1,10] => [2,3,1,2,2]
[4,6,7,5,3,8,2,9,1,10] => [3,1,2,2,2]
[9,10,1,3,4,5,6,7,8,2] => [2,7,1]
[1,10,2,4,5,6,7,8,9,3] => [2,7,1]
[8,9,10,1,3,4,5,6,7,2] => [3,6,1]
[1,9,10,2,4,5,6,7,8,3] => [3,6,1]
[10,1,9,2,4,5,6,7,8,3] => [1,2,6,1]
[1,2,10,3,5,6,7,8,9,4] => [3,6,1]
[1,8,9,10,2,4,5,6,7,3] => [4,5,1]
[10,1,8,9,2,4,5,6,7,3] => [1,3,5,1]
[1,2,9,10,3,5,6,7,8,4] => [4,5,1]
[1,10,2,9,3,5,6,7,8,4] => [2,2,5,1]
[1,2,3,10,4,6,7,8,9,5] => [4,5,1]
[10,1,7,8,9,2,4,5,6,3] => [1,4,4,1]
[1,2,8,9,10,3,5,6,7,4] => [5,4,1]
[9,10,1,7,8,2,4,5,6,3] => [2,3,4,1]
[1,2,3,9,10,4,6,7,8,5] => [5,4,1]
[10,1,9,2,8,3,5,6,7,4] => [1,2,2,4,1]
[1,2,10,3,9,4,6,7,8,5] => [3,2,4,1]
[1,2,3,4,10,5,7,8,9,6] => [5,4,1]
[1,9,10,2,7,8,3,5,6,4] => [3,3,3,1]
[10,1,9,2,7,8,3,5,6,4] => [1,2,3,3,1]
[1,2,10,3,8,9,4,6,7,5] => [3,3,3,1]
[1,2,3,4,9,10,5,7,8,6] => [6,3,1]
[1,10,2,9,3,8,4,6,7,5] => [2,2,2,3,1]
[1,2,3,10,4,9,5,7,8,6] => [4,2,3,1]
[1,2,3,4,5,10,6,8,9,7] => [6,3,1]
[1,2,3,4,10,5,9,6,8,7] => [5,2,2,1]
[1,2,3,4,5,6,10,7,9,8] => [7,2,1]
[9,8,7,5,4,6,3,2,1,10] => [1,1,1,1,2,1,1,2]
[10,8,9,7,5,6,4,2,3,1] => [1,2,1,2,1,2,1]
[10,9,7,8,5,3,1,2,4,6] => [1,1,2,1,1,4]
[10,9,7,8,5,1,2,3,4,6] => [1,1,2,1,5]
[10,8,9,6,2,3,4,5,7,1] => [1,2,1,5,1]
[8,9,1,2,3,4,5,10,6,7] => [2,6,2]
[3,9,10,1,2,4,5,6,7,8] => [3,7]
[1,3,4,2,5,6,7,8,9,10] => [3,7]
[1,2,4,5,6,3,7,8,9,10] => [5,5]
[1,2,3,5,6,7,8,4,9,10] => [7,3]
[2,1,5,3,6,7,4,8,9,10] => [1,2,3,4]
[1,3,5,6,4,2,7,8,9,10] => [4,1,5]
[3,5,2,1,6,4,7,8,9,10] => [2,1,2,5]
[2,1,3,6,4,7,8,9,5,10] => [1,3,4,2]
[1,3,4,6,7,2,8,5,9,10] => [5,2,3]
[3,2,6,1,4,7,8,5,9,10] => [1,2,4,3]
[2,4,6,1,7,5,3,8,9,10] => [3,2,1,4]
[4,6,3,2,1,7,5,8,9,10] => [2,1,1,2,4]
[1,3,4,2,7,8,5,9,10,6] => [3,3,3,1]
[3,2,1,7,4,5,8,9,10,6] => [1,1,2,5,1]
[1,2,4,5,7,8,9,6,3,10] => [7,1,2]
[4,3,7,2,1,5,8,9,6,10] => [1,2,1,4,2]
[1,3,5,7,8,6,4,2,9,10] => [5,1,1,3]
[3,5,7,2,1,8,6,4,9,10] => [3,1,2,1,3]
[5,7,4,3,2,1,8,6,9,10] => [2,1,1,1,2,3]
[2,1,5,3,8,6,9,10,7,4] => [1,2,2,3,1,1]
[1,3,5,6,8,9,4,2,10,7] => [6,1,2,1]
[3,5,2,8,1,6,9,4,10,7] => [2,2,3,2,1]
[5,4,8,3,2,1,6,9,10,7] => [1,2,1,1,4,1]
[2,4,6,8,1,9,7,5,3,10] => [4,2,1,1,2]
[4,6,8,3,2,1,9,7,5,10] => [3,1,1,2,1,2]
[6,8,5,4,3,2,1,9,7,10] => [2,1,1,1,1,2,2]
[3,5,7,9,2,1,10,8,6,4] => [4,1,2,1,1,1]
[5,7,9,4,3,2,1,10,8,6] => [3,1,1,1,2,1,1]
[7,9,6,5,4,3,2,1,10,8] => [2,1,1,1,1,1,2,1]
[6,5,4,7,3,8,2,9,1,10] => [1,1,2,2,2,2]
[1,7,6,5,8,4,9,3,10,2] => [2,1,2,2,2,1]
[2,3,7,5,6,1,10,9,4,8] => [3,2,2,1,2]
[2,3,4,10,6,9,8,5,1,7] => [4,2,1,1,2]
[2,3,6,5,9,10,8,4,1,7] => [3,3,1,1,2]
[2,3,9,5,8,7,4,1,10,6] => [3,2,1,1,2,1]
[2,5,4,9,6,10,8,3,1,7] => [2,2,2,1,1,2]
[2,5,4,8,9,7,3,1,10,6] => [2,3,1,1,2,1]
[2,3,4,10,6,7,1,9,8,5] => [4,2,2,1,1]
[2,3,7,5,6,1,10,9,8,4] => [3,2,2,1,1,1]
[2,3,4,10,6,8,9,1,7,5] => [4,3,2,1]
[2,3,6,5,8,10,9,1,7,4] => [3,3,1,2,1]
[2,3,8,5,7,9,1,10,6,4] => [3,3,2,1,1]
[2,5,4,8,6,10,9,1,7,3] => [2,2,2,1,2,1]
[2,5,4,7,8,9,1,10,6,3] => [2,4,2,1,1]
[2,3,4,10,6,9,8,7,5,1] => [4,2,1,1,1,1]
[2,3,6,5,9,10,8,7,4,1] => [3,3,1,1,1,1]
[2,3,7,5,9,8,10,6,4,1] => [3,2,2,1,1,1]
[2,3,9,5,8,7,6,4,1,10] => [3,2,1,1,1,2]
[2,5,4,9,6,10,8,7,3,1] => [2,2,2,1,1,1,1]
[2,5,4,9,7,8,10,6,3,1] => [2,2,3,1,1,1]
[2,5,4,8,9,7,6,3,1,10] => [2,3,1,1,1,2]
[2,3,4,10,7,9,8,1,6,5] => [4,2,1,2,1]
[2,3,5,7,10,9,8,1,6,4] => [5,1,1,2,1]
[2,3,8,6,9,7,1,10,5,4] => [3,2,1,2,1,1]
[2,4,7,5,10,9,8,1,6,3] => [3,2,1,1,2,1]
[2,4,6,8,9,7,1,10,5,3] => [5,1,2,1,1]
[2,3,4,10,7,8,9,6,5,1] => [4,3,1,1,1]
[2,3,5,7,10,8,9,6,4,1] => [5,2,1,1,1]
[2,3,7,6,8,9,10,5,4,1] => [3,4,1,1,1]
[2,3,9,6,7,8,5,4,1,10] => [3,3,1,1,2]
[2,4,7,5,10,8,9,6,3,1] => [3,2,2,1,1,1]
[2,4,6,7,8,9,10,5,3,1] => [7,1,1,1]
[2,4,6,9,7,8,5,3,1,10] => [4,2,1,1,2]
[2,6,5,8,9,7,10,4,3,1] => [2,3,2,1,1,1]
[2,6,5,7,8,9,4,3,1,10] => [2,4,1,1,2]
[3,7,4,5,10,9,8,1,6,2] => [2,3,1,1,2,1]
[3,6,4,8,9,7,1,10,5,2] => [2,3,1,2,1,1]
[3,7,4,5,10,8,9,6,2,1] => [2,3,2,1,1,1]
[3,6,4,7,8,9,10,5,2,1] => [2,5,1,1,1]
[3,6,4,9,7,8,5,2,1,10] => [2,2,2,1,1,2]
[3,5,6,8,9,7,10,4,2,1] => [5,2,1,1,1]
[3,5,6,7,8,9,4,2,1,10] => [6,1,1,2]
[4,3,2,7,6,5,1,9,8,10] => [1,1,2,1,1,2,2]
[4,3,2,1,7,6,9,8,5,10] => [1,1,1,2,2,1,2]
[4,3,2,7,6,1,9,8,5,10] => [1,1,2,1,2,1,2]
[4,3,2,7,6,9,8,5,1,10] => [1,1,2,2,1,1,2]
[4,3,7,6,2,1,9,8,5,10] => [1,2,1,1,2,1,2]
[4,3,7,6,2,9,8,5,1,10] => [1,2,1,2,1,1,2]
[4,3,2,1,7,6,5,9,10,8] => [1,1,1,2,1,3,1]
[4,3,2,7,6,5,1,9,10,8] => [1,1,2,1,1,3,1]
[4,3,2,1,7,6,9,5,10,8] => [1,1,1,2,2,2,1]
[4,3,2,7,6,1,9,5,10,8] => [1,1,2,1,2,2,1]
[4,3,2,7,6,9,5,1,10,8] => [1,1,2,2,1,2,1]
[4,3,7,6,2,1,9,5,10,8] => [1,2,1,1,2,2,1]
[4,3,7,6,2,9,5,1,10,8] => [1,2,1,2,1,2,1]
[4,3,2,1,7,6,9,10,8,5] => [1,1,1,2,3,1,1]
[4,3,2,7,6,1,9,10,8,5] => [1,1,2,1,3,1,1]
[4,3,2,7,6,9,1,10,8,5] => [1,1,2,2,2,1,1]
[4,3,2,7,6,9,10,8,5,1] => [1,1,2,3,1,1,1]
[4,3,7,6,2,1,9,10,8,5] => [1,2,1,1,3,1,1]
[4,3,7,6,2,9,1,10,8,5] => [1,2,1,2,2,1,1]
[4,3,7,6,2,9,10,8,5,1] => [1,2,1,3,1,1,1]
[4,3,2,1,7,9,6,5,10,8] => [1,1,1,3,1,2,1]
[4,3,2,7,1,9,6,5,10,8] => [1,1,2,2,1,2,1]
[4,3,2,7,9,6,5,1,10,8] => [1,1,3,1,1,2,1]
[4,3,7,2,1,9,6,5,10,8] => [1,2,1,2,1,2,1]
[4,3,7,2,9,6,5,1,10,8] => [1,2,2,1,1,2,1]
[4,3,2,1,7,9,6,10,8,5] => [1,1,1,3,2,1,1]
[4,3,2,7,1,9,6,10,8,5] => [1,1,2,2,2,1,1]
[4,3,2,7,9,6,1,10,8,5] => [1,1,3,1,2,1,1]
[4,3,2,7,9,6,10,8,5,1] => [1,1,3,2,1,1,1]
[4,3,7,2,1,9,6,10,8,5] => [1,2,1,2,2,1,1]
[4,3,7,2,9,6,1,10,8,5] => [1,2,2,1,2,1,1]
[4,3,7,2,9,6,10,8,5,1] => [1,2,2,2,1,1,1]
[4,3,7,9,6,2,1,10,8,5] => [1,3,1,1,2,1,1]
[4,3,7,9,6,2,10,8,5,1] => [1,3,1,2,1,1,1]
[4,7,3,2,1,9,6,5,10,8] => [2,1,1,2,1,2,1]
[4,7,3,2,9,6,5,1,10,8] => [2,1,2,1,1,2,1]
[4,7,3,2,1,9,6,10,8,5] => [2,1,1,2,2,1,1]
[4,7,3,2,9,6,1,10,8,5] => [2,1,2,1,2,1,1]
[4,7,3,2,9,6,10,8,5,1] => [2,1,2,2,1,1,1]
[4,7,3,9,6,2,1,10,8,5] => [2,2,1,1,2,1,1]
[5,6,4,7,3,9,1,8,2,10] => [2,2,2,2,2]
[1,6,7,5,8,4,10,2,9,3] => [3,2,2,2,1]
[1,9,2,8,3,7,4,5,6,10] => [2,2,2,4]
[1,2,10,3,9,4,8,5,6,7] => [3,2,2,3]
[4,5,6,7,8,9,1,10,2,3] => [6,2,2]
[3,2,5,4,7,6,8,10,9,1] => [1,2,2,3,1,1]
[3,2,5,4,6,9,7,8,10,1] => [1,2,3,3,1]
[3,2,5,4,6,8,7,10,9,1] => [1,2,3,2,1,1]
[3,2,5,4,6,7,10,8,9,1] => [1,2,4,2,1]
[3,2,4,7,5,6,9,8,10,1] => [1,3,3,2,1]
[3,2,4,7,5,6,8,10,9,1] => [1,3,4,1,1]
[3,2,4,6,5,9,7,8,10,1] => [1,3,2,3,1]
[3,2,4,6,5,8,7,10,9,1] => [1,3,2,2,1,1]
[3,2,4,6,5,7,10,8,9,1] => [1,3,3,2,1]
[3,2,4,5,9,6,7,8,10,1] => [1,4,4,1]
[3,2,4,5,8,6,7,10,9,1] => [1,4,3,1,1]
[3,2,4,5,7,6,10,8,9,1] => [1,4,2,2,1]
[3,2,4,5,6,10,7,8,9,1] => [1,5,3,1]
[2,5,3,4,7,6,9,8,10,1] => [2,3,2,2,1]
[2,5,3,4,7,6,8,10,9,1] => [2,3,3,1,1]
[2,5,3,4,6,9,7,8,10,1] => [2,4,3,1]
[2,5,3,4,6,8,7,10,9,1] => [2,4,2,1,1]
[2,5,3,4,6,7,10,8,9,1] => [2,5,2,1]
[2,4,3,7,5,6,9,8,10,1] => [2,2,3,2,1]
[2,4,3,7,5,6,8,10,9,1] => [2,2,4,1,1]
[2,4,3,6,5,9,7,8,10,1] => [2,2,2,3,1]
[2,4,3,6,5,7,10,8,9,1] => [2,2,3,2,1]
[2,4,3,5,9,6,7,8,10,1] => [2,3,4,1]
[2,4,3,5,8,6,7,10,9,1] => [2,3,3,1,1]
[2,4,3,5,7,6,10,8,9,1] => [2,3,2,2,1]
[2,4,3,5,6,10,7,8,9,1] => [2,4,3,1]
[2,3,7,4,5,6,9,8,10,1] => [3,4,2,1]
[2,3,7,4,5,6,8,10,9,1] => [3,5,1,1]
[2,3,6,4,5,9,7,8,10,1] => [3,3,3,1]
[2,3,6,4,5,8,7,10,9,1] => [3,3,2,1,1]
[2,3,6,4,5,7,10,8,9,1] => [3,4,2,1]
[2,3,5,4,9,6,7,8,10,1] => [3,2,4,1]
[2,3,5,4,8,6,7,10,9,1] => [3,2,3,1,1]
[2,3,5,4,7,6,10,8,9,1] => [3,2,2,2,1]
[2,3,5,4,6,10,7,8,9,1] => [3,3,3,1]
[2,3,4,9,5,6,7,8,10,1] => [4,5,1]
[2,3,4,8,5,6,7,10,9,1] => [4,4,1,1]
[2,3,4,7,5,6,10,8,9,1] => [4,3,2,1]
[2,3,4,6,5,10,7,8,9,1] => [4,2,3,1]
[6,2,3,7,8,1,4,9,10,5] => [1,4,4,1]
[6,2,3,7,8,9,1,4,10,5] => [1,5,3,1]
[6,7,2,3,8,1,4,9,10,5] => [2,3,4,1]
[6,7,2,3,8,9,1,4,10,5] => [2,4,3,1]
[6,7,8,2,3,9,1,4,10,5] => [3,3,3,1]
[2,6,3,7,8,1,4,9,10,5] => [2,3,4,1]
[2,6,3,7,8,9,1,4,10,5] => [2,4,3,1]
[2,6,7,3,8,1,4,9,10,5] => [3,2,4,1]
[2,6,7,3,8,9,1,4,10,5] => [3,3,3,1]
[2,6,7,8,3,9,1,4,10,5] => [4,2,3,1]
[6,2,7,3,8,1,4,9,10,5] => [1,2,2,4,1]
[6,2,7,3,8,9,1,4,10,5] => [1,2,3,3,1]
[6,2,7,8,3,9,1,4,10,5] => [1,3,2,3,1]
[6,7,2,8,3,9,1,4,10,5] => [2,2,2,3,1]
[6,1,2,3,7,8,4,9,10,5] => [1,5,3,1]
[6,1,2,3,7,8,9,4,10,5] => [1,6,2,1]
[6,7,1,2,3,8,4,9,10,5] => [2,4,3,1]
[6,7,1,2,3,8,9,4,10,5] => [2,5,2,1]
[2,6,1,3,7,8,4,9,10,5] => [2,4,3,1]
[2,6,1,3,7,8,9,4,10,5] => [2,5,2,1]
[2,6,7,1,3,8,4,9,10,5] => [3,3,3,1]
[2,6,7,1,3,8,9,4,10,5] => [3,4,2,1]
[2,6,7,8,1,3,9,4,10,5] => [4,3,2,1]
[6,2,7,1,3,8,4,9,10,5] => [1,2,3,3,1]
[6,2,7,1,3,8,9,4,10,5] => [1,2,4,2,1]
[6,2,7,8,1,3,9,4,10,5] => [1,3,3,2,1]
[6,7,2,8,1,3,9,4,10,5] => [2,2,3,2,1]
[1,2,6,3,7,8,4,9,10,5] => [3,3,3,1]
[1,2,6,3,7,8,9,4,10,5] => [3,4,2,1]
[1,2,6,7,3,8,4,9,10,5] => [4,2,3,1]
[1,2,6,7,3,8,9,4,10,5] => [4,3,2,1]
[1,2,6,7,8,3,9,4,10,5] => [5,2,2,1]
[6,1,2,7,3,8,4,9,10,5] => [1,3,2,3,1]
[6,1,2,7,3,8,9,4,10,5] => [1,3,3,2,1]
[6,1,2,7,8,3,9,4,10,5] => [1,4,2,2,1]
[1,6,2,7,3,8,4,9,10,5] => [2,2,2,3,1]
[1,6,2,7,3,8,9,4,10,5] => [2,2,3,2,1]
[1,6,2,7,8,3,9,4,10,5] => [2,3,2,2,1]
[1,3,4,5,6,7,2,9,10,8] => [6,3,1]
[1,3,4,5,2,7,8,9,10,6] => [4,5,1]
[1,3,4,2,6,7,8,9,10,5] => [3,6,1]
[8,2,3,4,5,6,1,7,10,9] => [1,5,3,1]
[7,2,3,4,5,1,6,9,10,8] => [1,4,4,1]
[6,2,3,4,10,1,7,8,9,5] => [1,4,4,1]
[5,2,3,1,4,7,8,9,10,6] => [1,2,6,1]
[4,2,1,3,6,7,8,9,10,5] => [1,1,7,1]
[3,4,5,6,2,7,8,9,10,1] => [4,5,1]
[2,4,5,6,3,7,8,9,10,1] => [4,5,1]
[2,3,5,6,4,7,8,9,10,1] => [4,5,1]
[6,2,1,4,3,5,8,7,10,9] => [1,1,2,3,2,1]
[8,2,1,4,3,6,5,7,10,9] => [1,1,2,2,3,1]
[9,2,1,4,3,6,5,8,7,10] => [1,1,2,2,2,2]
[7,2,1,4,3,6,5,9,8,10] => [1,1,2,2,2,2]
[5,2,1,4,3,7,6,9,8,10] => [1,1,2,2,2,2]
[9,3,10,1,2,4,5,6,7,8] => [1,2,7]
[10,3,1,9,2,4,5,6,7,8] => [1,1,2,6]
[3,1,4,10,2,5,6,7,8,9] => [1,3,6]
[10,7,1,2,3,4,8,9,5,6] => [1,1,6,2]
[10,6,1,2,3,9,8,4,5,7] => [1,1,4,1,3]
[7,6,1,2,3,4,8,9,10,5] => [1,1,7,1]
[5,9,1,2,10,8,3,4,6,7] => [2,3,1,4]
[5,6,1,2,3,10,8,9,4,7] => [2,4,2,2]
[8,4,1,9,10,2,3,5,6,7] => [1,1,3,5]
[5,4,1,2,10,9,8,3,6,7] => [1,1,3,1,1,3]
[10,3,8,9,1,2,4,5,6,7] => [1,3,6]
[4,3,1,9,10,8,2,5,6,7] => [1,1,3,1,4]
[2,3,8,9,10,1,4,5,6,7] => [5,5]
[6,2,3,4,5,7,8,9,10,1] => [1,8,1]
[2,6,3,4,5,7,8,9,10,1] => [2,7,1]
[2,3,6,4,5,7,8,9,10,1] => [3,6,1]
[4,2,10,1,9,8,7,6,5,3] => [1,2,2,1,1,1,1,1]
[5,2,10,9,1,8,7,6,4,3] => [1,2,1,2,1,1,1,1]
[6,2,10,9,8,1,7,5,4,3] => [1,2,1,1,2,1,1,1]
[6,10,3,9,8,1,7,5,4,2] => [2,2,1,2,1,1,1]
[6,4,3,2,10,1,9,8,7,5] => [1,1,1,2,2,1,1,1]
[7,10,3,9,8,6,1,5,4,2] => [2,2,1,1,2,1,1]
[7,10,9,4,8,6,1,5,3,2] => [2,1,2,1,2,1,1]
[7,4,3,2,10,9,1,8,6,5] => [1,1,1,2,1,2,1,1]
[7,5,3,10,2,9,1,8,6,4] => [1,1,2,2,2,1,1]
[8,5,3,10,2,9,7,1,6,4] => [1,1,2,2,1,2,1]
[8,6,10,4,9,2,7,1,5,3] => [1,2,2,2,2,1]
[8,6,5,4,3,2,10,1,9,7] => [1,1,1,1,1,2,2,1]
[10,2,3,4,5,6,7,1,8,9] => [1,6,3]
[10,2,3,4,5,6,1,7,8,9] => [1,5,4]
[10,2,3,4,5,1,6,7,8,9] => [1,4,5]
[10,2,3,4,1,5,6,7,8,9] => [1,3,6]
[2,8,1,3,4,5,6,10,7,9] => [2,6,2]
[10,7,1,2,3,4,5,9,6,8] => [1,1,6,2]
[4,5,6,8,2,9,3,10,7,1] => [4,2,2,1,1]
[10,4,5,6,9,3,8,2,7,1] => [1,4,2,2,1]
[4,5,10,6,9,3,8,2,7,1] => [3,2,2,2,1]
[4,5,8,2,6,10,9,3,7,1] => [3,3,1,2,1]
[10,6,9,5,4,3,8,2,7,1] => [1,2,1,1,2,2,1]
[8,2,6,10,9,5,4,3,7,1] => [1,3,1,1,1,2,1]
[8,2,10,4,5,6,7,1,9,3] => [1,2,4,2,1]
[4,5,6,8,2,10,7,1,9,3] => [4,2,1,2,1]
[10,4,5,6,8,2,7,1,9,3] => [1,4,2,2,1]
[4,5,10,6,8,2,7,1,9,3] => [3,2,2,2,1]
[4,5,10,8,2,6,7,1,9,3] => [3,1,3,2,1]
[10,6,8,2,7,1,9,5,4,3] => [1,2,2,2,1,1,1]
[10,8,2,6,7,1,9,5,4,3] => [1,1,3,2,1,1,1]
[8,2,7,1,9,3,10,4,5,6] => [1,2,2,2,3]
[4,5,8,2,7,1,9,3,10,6] => [3,2,2,2,1]
[4,5,9,3,10,7,1,8,2,6] => [3,2,1,2,2]
[4,5,7,1,9,3,8,2,6,10] => [3,2,2,3]
[8,2,7,1,9,5,4,3,10,6] => [1,2,2,1,1,2,1]
[9,5,4,3,10,7,1,8,2,6] => [1,1,1,2,1,2,2]
[7,1,9,5,4,3,8,2,6,10] => [1,2,1,1,2,3]
[8,2,6,10,4,5,7,1,9,3] => [1,3,3,2,1]
[4,8,2,6,10,5,7,1,9,3] => [2,3,2,2,1]
[4,10,8,2,5,6,7,1,9,3] => [2,1,4,2,1]
[8,2,6,10,5,7,1,9,4,3] => [1,3,2,2,1,1]
[10,8,2,5,6,7,1,9,4,3] => [1,1,4,2,1,1]
[9,3,10,4,5,7,1,8,2,6] => [1,2,3,2,2]
[4,9,3,10,5,7,1,8,2,6] => [2,2,2,2,2]
[4,9,3,10,7,1,8,2,5,6] => [2,2,1,2,3]
[4,7,1,9,3,8,2,5,6,10] => [2,2,2,4]
[9,4,3,10,5,7,1,8,2,6] => [1,1,2,2,2,2]
[9,4,3,10,7,1,8,2,5,6] => [1,1,2,1,2,3]
[7,1,9,4,3,8,2,5,6,10] => [1,2,1,2,4]
[5,10,7,1,8,2,4,3,9,6] => [2,1,2,2,2,1]
[5,7,1,8,2,4,3,9,6,10] => [2,2,2,2,2]
[10,5,7,1,9,4,2,6,8,3] => [1,2,2,1,3,1]
[9,4,2,5,6,7,1,10,8,3] => [1,1,4,2,1,1]
[10,5,7,1,8,3,9,4,2,6] => [1,2,2,2,1,2]
[10,7,1,8,3,9,4,2,5,6] => [1,1,2,2,1,3]
[7,1,8,3,9,4,2,5,6,10] => [1,2,2,1,4]
[4,2,5,10,7,1,8,3,9,6] => [1,3,1,2,2,1]
[4,2,5,7,1,8,3,9,6,10] => [1,3,2,2,2]
[4,5,6,7,8,9,1,2,10,3] => [6,3,1]
[6,5,7,4,8,3,10,9,1,2] => [1,2,2,2,1,2]
[6,5,7,4,9,8,2,3,10,1] => [1,2,2,1,3,1]
[6,5,7,4,10,8,2,9,1,3] => [1,2,2,1,2,2]
[6,5,7,4,10,9,8,1,2,3] => [1,2,2,1,1,3]
[6,5,8,7,3,4,9,2,10,1] => [1,2,1,3,2,1]
[6,5,8,7,3,4,10,9,1,2] => [1,2,1,3,1,2]
[6,5,9,7,3,8,2,4,10,1] => [1,2,1,2,3,1]
[6,5,10,7,3,8,2,9,1,4] => [1,2,1,2,2,2]
[6,5,10,7,3,9,8,1,2,4] => [1,2,1,2,1,3]
[6,5,9,8,7,2,3,4,10,1] => [1,2,1,1,4,1]
[6,5,10,8,7,2,3,9,1,4] => [1,2,1,1,3,2]
[6,5,10,9,7,2,8,1,3,4] => [1,2,1,1,2,3]
[6,5,10,9,8,7,1,2,3,4] => [1,2,1,1,1,4]
[7,6,4,5,8,3,9,2,10,1] => [1,1,3,2,2,1]
[7,6,4,5,8,3,10,9,1,2] => [1,1,3,2,1,2]
[7,6,4,5,9,8,2,3,10,1] => [1,1,3,1,3,1]
[7,6,4,5,10,8,2,9,1,3] => [1,1,3,1,2,2]
[7,6,4,5,10,9,8,1,2,3] => [1,1,3,1,1,3]
[8,6,4,7,3,5,9,2,10,1] => [1,1,2,3,2,1]
[8,6,4,7,3,5,10,9,1,2] => [1,1,2,3,1,2]
[9,6,4,7,3,8,2,5,10,1] => [1,1,2,2,3,1]
[10,6,4,7,3,8,2,9,1,5] => [1,1,2,2,2,2]
[10,6,4,7,3,9,8,1,2,5] => [1,1,2,2,1,3]
[9,6,4,8,7,2,3,5,10,1] => [1,1,2,1,4,1]
[10,6,4,8,7,2,3,9,1,5] => [1,1,2,1,3,2]
[10,6,4,9,7,2,8,1,3,5] => [1,1,2,1,2,3]
[10,6,4,9,8,7,1,2,3,5] => [1,1,2,1,1,4]
[8,7,6,3,4,5,9,2,10,1] => [1,1,1,4,2,1]
[8,7,6,3,4,5,10,9,1,2] => [1,1,1,4,1,2]
[9,7,6,3,4,8,2,5,10,1] => [1,1,1,3,3,1]
[10,7,6,3,4,8,2,9,1,5] => [1,1,1,3,2,2]
[10,7,6,3,4,9,8,1,2,5] => [1,1,1,3,1,3]
[9,8,6,3,7,2,4,5,10,1] => [1,1,1,2,4,1]
[10,8,6,3,7,2,4,9,1,5] => [1,1,1,2,3,2]
[10,9,6,3,7,2,8,1,4,5] => [1,1,1,2,2,3]
[10,9,6,3,8,7,1,2,4,5] => [1,1,1,2,1,4]
[9,8,7,6,2,3,4,5,10,1] => [1,1,1,1,5,1]
[10,8,7,6,2,3,4,9,1,5] => [1,1,1,1,4,2]
[10,9,7,6,2,3,8,1,4,5] => [1,1,1,1,3,3]
[2,1,10,9,8,7,6,5,3,4] => [1,2,1,1,1,1,1,2]
[10,9,7,3,6,1,2,4,8,5] => [1,1,1,2,4,1]
[9,7,3,6,1,2,4,10,8,5] => [1,1,2,4,1,1]
[7,3,10,9,6,1,2,4,8,5] => [1,2,1,1,4,1]
[7,3,9,6,1,2,4,10,8,5] => [1,2,1,4,1,1]
[9,6,1,2,4,10,7,3,8,5] => [1,1,4,1,2,1]
[8,4,10,9,7,3,6,1,2,5] => [1,2,1,1,2,3]
[10,8,4,9,7,3,6,1,2,5] => [1,1,2,1,2,3]
[7,3,8,4,10,9,6,1,2,5] => [1,2,2,1,1,3]
[7,3,10,8,4,9,6,1,2,5] => [1,2,1,2,1,3]
[10,7,3,8,4,9,6,1,2,5] => [1,1,2,2,1,3]
[6,1,2,7,3,8,4,10,9,5] => [1,3,2,2,1,1]
[6,1,2,7,3,10,8,4,9,5] => [1,3,2,1,2,1]
[6,1,2,10,7,3,8,4,9,5] => [1,3,1,2,2,1]
[10,6,1,2,7,3,8,4,9,5] => [1,1,3,2,2,1]
[6,1,3,10,9,7,2,4,8,5] => [1,3,1,1,3,1]
[6,1,3,9,7,2,4,10,8,5] => [1,3,1,3,1,1]
[10,9,6,1,3,7,2,4,8,5] => [1,1,1,3,3,1]
[9,6,1,3,7,2,4,10,8,5] => [1,1,3,3,1,1]
[10,7,2,4,9,6,1,3,8,5] => [1,1,3,1,3,1]
[6,1,3,8,4,10,9,7,2,5] => [1,3,2,1,1,2]
[6,1,3,10,8,4,9,7,2,5] => [1,3,1,2,1,2]
[8,4,10,9,6,1,3,7,2,5] => [1,2,1,1,3,2]
[10,8,4,9,6,1,3,7,2,5] => [1,1,2,1,3,2]
[9,6,1,3,8,4,10,7,2,5] => [1,1,3,2,1,2]
[7,2,6,1,3,8,4,10,9,5] => [1,2,3,2,1,1]
[7,2,6,1,3,10,8,4,9,5] => [1,2,3,1,2,1]
[10,7,2,6,1,3,8,4,9,5] => [1,1,2,3,2,1]
[7,2,10,6,1,3,8,4,9,5] => [1,2,1,3,2,1]
[8,3,6,1,4,10,9,7,2,5] => [1,2,3,1,1,2]
[10,8,3,6,1,4,9,7,2,5] => [1,1,2,3,1,2]
[10,9,6,1,4,8,3,7,2,5] => [1,1,1,3,2,2]
[9,6,1,4,10,8,3,7,2,5] => [1,1,3,1,2,2]
[8,3,9,6,1,4,10,7,2,5] => [1,2,1,3,1,2]
[8,3,7,2,6,1,4,10,9,5] => [1,2,2,3,1,1]
[10,8,3,7,2,6,1,4,9,5] => [1,1,2,2,3,1]
[8,3,10,7,2,6,1,4,9,5] => [1,2,1,2,3,1]
[7,2,8,3,10,6,1,4,9,5] => [1,2,2,1,3,1]
[9,4,10,8,3,7,2,6,1,5] => [1,2,1,2,2,2]
[8,3,9,4,10,7,2,6,1,5] => [1,2,2,1,2,2]
[7,2,8,3,9,4,10,6,1,5] => [1,2,2,2,1,2]
[2,1,9,10,8,7,6,5,4,3] => [1,3,1,1,1,1,1,1]
[7,6,8,5,9,4,10,3,2,1] => [1,2,2,2,1,1,1]
[7,6,8,5,9,4,3,2,10,1] => [1,2,2,1,1,2,1]
[7,6,8,5,10,4,2,9,3,1] => [1,2,2,1,2,1,1]
[8,7,9,6,10,5,4,3,2,1] => [1,2,2,1,1,1,1,1]
[7,6,8,5,4,3,9,2,10,1] => [1,2,1,1,2,2,1]
[8,7,9,6,5,4,10,3,2,1] => [1,2,1,1,2,1,1,1]
[7,6,9,5,3,8,4,2,10,1] => [1,2,1,2,1,2,1]
[7,6,10,5,3,8,2,9,4,1] => [1,2,1,2,2,1,1]
[8,7,10,6,4,9,5,3,2,1] => [1,2,1,2,1,1,1,1]
[8,7,9,6,5,4,3,2,10,1] => [1,2,1,1,1,1,2,1]
[8,7,10,6,5,4,2,9,3,1] => [1,2,1,1,1,2,1,1]
[8,7,10,9,5,2,6,4,3,1] => [1,2,1,1,2,1,1,1]
[7,6,5,4,8,3,9,2,10,1] => [1,1,1,2,2,2,1]
[8,7,6,5,9,4,10,3,2,1] => [1,1,1,2,2,1,1,1]
[8,7,6,5,9,4,3,2,10,1] => [1,1,1,2,1,1,2,1]
[8,7,6,5,10,4,2,9,3,1] => [1,1,1,2,1,2,1,1]
[8,6,4,7,5,3,9,2,10,1] => [1,1,2,1,2,2,1]
[9,7,5,8,6,4,10,3,2,1] => [1,1,2,1,2,1,1,1]
[9,6,4,7,3,8,5,2,10,1] => [1,1,2,2,1,2,1]
[10,6,4,7,3,8,2,9,5,1] => [1,1,2,2,2,1,1]
[10,7,5,8,4,9,6,3,2,1] => [1,1,2,2,1,1,1,1]
[9,7,5,8,6,4,3,2,10,1] => [1,1,2,1,1,1,2,1]
[10,7,5,8,6,4,2,9,3,1] => [1,1,2,1,1,2,1,1]
[10,7,5,9,6,2,8,4,3,1] => [1,1,2,1,2,1,1,1]
[10,8,6,9,7,5,4,3,2,1] => [1,1,2,1,1,1,1,1,1]
[8,7,6,5,4,3,9,2,10,1] => [1,1,1,1,1,2,2,1]
[9,7,6,5,3,8,4,2,10,1] => [1,1,1,1,2,1,2,1]
[10,7,6,5,3,8,2,9,4,1] => [1,1,1,1,2,2,1,1]
[10,8,7,6,4,9,5,3,2,1] => [1,1,1,1,2,1,1,1,1]
[9,8,6,3,7,5,4,2,10,1] => [1,1,1,2,1,1,2,1]
[10,8,6,3,7,5,2,9,4,1] => [1,1,1,2,1,2,1,1]
[10,9,6,3,7,2,8,5,4,1] => [1,1,1,2,2,1,1,1]
[10,9,7,4,8,6,5,3,2,1] => [1,1,1,2,1,1,1,1,1]
[10,8,7,6,5,4,2,9,3,1] => [1,1,1,1,1,1,2,1,1]
[10,9,7,6,5,2,8,4,3,1] => [1,1,1,1,1,2,1,1,1]
[10,9,8,6,2,7,5,4,3,1] => [1,1,1,1,2,1,1,1,1]
[10,3,4,1,2,5,6,7,8,9] => [1,2,7]
[2,3,5,6,8,1,9,4,7,10] => [5,2,3]
[2,3,5,6,1,8,9,4,10,7] => [4,3,2,1]
[2,3,5,6,1,9,4,7,8,10] => [4,2,4]
[2,3,5,1,6,7,9,4,10,8] => [3,4,2,1]
[2,3,5,1,6,7,4,8,10,9] => [3,3,3,1]
[2,3,6,8,1,9,4,5,10,7] => [4,2,3,1]
[2,3,6,1,8,9,4,10,5,7] => [3,3,2,2]
[2,3,6,1,9,4,5,7,8,10] => [3,2,5]
[2,3,7,1,9,4,5,6,10,8] => [3,2,4,1]
[2,3,1,4,6,7,9,5,10,8] => [2,5,2,1]
[2,3,1,4,6,7,5,8,10,9] => [2,4,3,1]
[2,3,1,4,7,9,5,10,6,8] => [2,4,2,2]
[2,3,1,4,7,5,6,8,10,9] => [2,3,4,1]
[2,3,1,4,8,5,6,10,7,9] => [2,3,3,2]
[3,5,6,7,1,9,2,4,10,8] => [4,2,3,1]
[3,5,6,1,7,9,2,10,4,8] => [3,3,2,2]
[3,5,6,1,7,2,4,8,10,9] => [3,2,4,1]
[3,5,1,6,7,8,2,10,4,9] => [2,4,2,2]
[3,5,1,6,7,2,8,9,4,10] => [2,3,3,2]
[3,6,8,1,9,2,4,10,5,7] => [3,2,3,2]
[4,6,1,7,9,2,10,3,5,8] => [2,3,2,3]
[3,6,1,9,2,4,5,7,8,10] => [2,2,6]
[3,7,1,9,2,4,5,6,10,8] => [2,2,5,1]
[4,6,1,7,2,3,5,8,10,9] => [2,2,5,1]
[4,7,1,9,2,3,5,10,6,8] => [2,2,4,2]
[5,7,1,8,2,3,4,10,6,9] => [2,2,4,2]
[3,1,2,4,6,7,9,5,10,8] => [1,6,2,1]
[3,1,2,4,6,7,5,8,10,9] => [1,5,3,1]
[3,1,2,4,7,9,5,10,6,8] => [1,5,2,2]
[3,1,2,4,7,5,6,8,10,9] => [1,4,4,1]
[3,1,2,4,8,5,6,10,7,9] => [1,4,3,2]
[4,1,2,6,7,8,3,10,5,9] => [1,5,2,2]
[4,1,2,6,7,3,8,9,5,10] => [1,4,3,2]
[4,1,2,7,9,3,10,5,6,8] => [1,4,2,3]
[5,1,2,7,8,3,10,4,6,9] => [1,4,2,3]
[4,1,2,7,3,5,6,8,10,9] => [1,3,5,1]
[4,1,2,8,3,5,6,10,7,9] => [1,3,4,2]
[5,1,2,7,3,4,8,9,6,10] => [1,3,4,2]
[5,1,2,8,3,4,10,6,7,9] => [1,3,3,3]
[6,1,2,8,3,4,9,5,7,10] => [1,3,3,3]
[2,5,4,3,1,6,7,8,9,10] => [2,1,1,6]
[2,7,6,5,4,3,1,8,9,10] => [2,1,1,1,1,4]
[4,3,5,6,2,1,7,8,9,10] => [1,3,1,5]
[3,6,1,5,4,2,7,8,9,10] => [2,2,1,5]
[3,4,5,1,2,6,7,8,9,10] => [3,7]
[2,9,8,7,6,5,4,3,1,10] => [2,1,1,1,1,1,1,2]
[4,3,7,8,6,5,2,1,9,10] => [1,3,1,1,1,3]
[3,8,1,7,6,5,4,2,9,10] => [2,2,1,1,1,3]
[5,6,4,2,7,3,1,8,9,10] => [2,1,2,1,4]
[3,4,7,1,6,5,2,8,9,10] => [3,2,1,4]
[4,3,9,10,8,7,6,5,2,1] => [1,3,1,1,1,1,1,1]
[6,5,4,7,8,9,3,2,1,10] => [1,1,4,1,1,2]
[3,4,9,1,8,7,6,5,2,10] => [3,2,1,1,1,2]
[6,5,8,7,2,1,4,3,9,10] => [1,2,1,1,2,3]
[3,6,7,5,2,8,4,1,9,10] => [3,1,2,1,3]
[4,5,8,1,2,7,6,3,9,10] => [3,3,1,3]
[4,5,6,7,1,2,3,8,9,10] => [4,6]
[7,8,6,5,3,9,10,4,2,1] => [2,1,1,3,1,1,1]
[3,6,9,5,2,10,8,7,4,1] => [3,1,2,1,1,1,1]
[6,7,4,9,8,3,1,5,2,10] => [2,2,1,1,2,2]
[4,7,8,1,6,3,9,5,2,10] => [3,2,2,1,2]
[4,5,6,9,1,2,8,7,3,10] => [4,3,1,2]
[7,8,10,5,2,9,4,1,6,3] => [3,1,2,1,2,1]
[4,5,8,9,1,7,3,10,6,2] => [4,2,2,1,1]
[1,2,3,4,8,5,9,6,10,7] => [5,2,2,1]
[1,2,3,4,5,8,6,10,9,7] => [6,2,1,1]
[1,2,3,7,4,8,5,10,9,6] => [4,2,2,1,1]
[1,2,3,4,9,7,5,10,8,6] => [5,1,2,1,1]
[1,2,3,4,7,5,10,9,8,6] => [5,2,1,1,1]
[1,6,2,7,3,8,4,10,9,5] => [2,2,2,2,1,1]
[1,2,6,3,9,7,4,10,8,5] => [3,2,1,2,1,1]
[1,2,6,3,7,4,10,9,8,5] => [3,2,2,1,1,1]
[1,2,3,8,6,4,10,9,7,5] => [4,1,2,1,1,1]
[1,2,3,6,4,10,9,8,7,5] => [4,2,1,1,1,1]
[5,1,6,2,9,7,3,10,8,4] => [1,2,2,1,2,1,1]
[5,1,6,2,7,3,10,9,8,4] => [1,2,2,2,1,1,1]
[1,5,2,6,3,10,9,8,7,4] => [2,2,2,1,1,1,1]
[1,2,7,5,3,10,9,8,6,4] => [3,1,2,1,1,1,1]
[1,2,5,3,10,9,8,7,6,4] => [3,2,1,1,1,1,1]
[7,4,1,8,5,2,10,9,6,3] => [1,1,2,1,2,1,1,1]
[4,1,9,7,5,2,10,8,6,3] => [1,2,1,1,2,1,1,1]
[4,1,7,5,2,10,9,8,6,3] => [1,2,1,2,1,1,1,1]
[4,1,5,2,10,9,8,7,6,3] => [1,2,2,1,1,1,1,1]
[1,8,6,4,2,10,9,7,5,3] => [2,1,1,2,1,1,1,1]
[1,6,4,2,10,9,8,7,5,3] => [2,1,2,1,1,1,1,1]
[1,4,2,10,9,8,7,6,5,3] => [2,2,1,1,1,1,1,1]
[7,5,3,1,10,9,8,6,4,2] => [1,1,1,2,1,1,1,1,1]
[5,3,1,10,9,8,7,6,4,2] => [1,1,2,1,1,1,1,1,1]
[1,3,2,5,4,7,6,10,8,9] => [2,2,2,2,2]
[9,1,8,2,3,4,5,6,7,10] => [1,2,7]
[1,10,2,9,3,4,5,6,7,8] => [2,2,6]
[3,6,1,2,7,8,4,5,9,10] => [2,4,4]
[3,6,1,2,7,10,4,5,8,9] => [2,4,4]
[3,6,1,2,4,7,10,5,8,9] => [2,5,3]
[1,3,6,2,4,7,10,5,8,9] => [3,4,3]
[3,1,2,6,4,7,10,5,8,9] => [1,3,3,3]
[3,1,6,7,2,4,5,10,8,9] => [1,3,4,2]
[3,1,6,7,2,4,9,10,5,8] => [1,3,4,2]
[3,1,5,6,2,4,9,10,7,8] => [1,3,4,2]
[1,8,6,4,2,9,7,5,3,10] => [2,1,1,2,1,1,2]
[1,4,2,5,6,7,8,10,9,3] => [2,6,1,1]
[2,1,4,5,6,7,10,8,3,9] => [1,6,1,2]
[3,1,5,2,6,10,7,8,9,4] => [1,2,3,3,1]
[4,5,1,6,7,9,8,10,2,3] => [2,4,2,2]
[7,2,8,3,9,4,10,5,1,6] => [1,2,2,2,1,2]
[7,2,8,3,9,4,10,1,5,6] => [1,2,2,2,3]
[7,2,8,3,9,10,4,5,1,6] => [1,2,3,2,2]
[7,2,8,3,9,10,4,1,5,6] => [1,2,3,1,3]
[7,2,8,3,9,10,1,4,5,6] => [1,2,3,4]
[7,2,8,9,3,4,10,5,1,6] => [1,3,3,1,2]
[7,2,8,9,3,4,10,1,5,6] => [1,3,3,3]
[7,2,8,9,3,10,4,5,1,6] => [1,3,2,2,2]
[7,2,8,9,3,10,4,1,5,6] => [1,3,2,1,3]
[7,2,8,9,3,10,1,4,5,6] => [1,3,2,4]
[7,2,8,9,10,3,4,5,1,6] => [1,4,3,2]
[7,2,8,9,10,3,4,1,5,6] => [1,4,2,3]
[7,2,8,9,10,3,1,4,5,6] => [1,4,1,4]
[7,8,2,3,9,4,10,5,1,6] => [2,3,2,1,2]
[7,8,2,3,9,4,10,1,5,6] => [2,3,2,3]
[7,8,2,3,9,10,4,5,1,6] => [2,4,2,2]
[7,8,2,3,9,10,4,1,5,6] => [2,4,1,3]
[7,8,2,3,9,10,1,4,5,6] => [2,4,4]
[7,8,2,9,3,4,10,5,1,6] => [2,2,3,1,2]
[7,8,2,9,3,4,10,1,5,6] => [2,2,3,3]
[7,8,2,9,3,10,4,5,1,6] => [2,2,2,2,2]
[7,8,2,9,3,10,4,1,5,6] => [2,2,2,1,3]
[7,8,2,9,3,10,1,4,5,6] => [2,2,2,4]
[7,8,2,9,10,3,4,5,1,6] => [2,3,3,2]
[7,8,2,9,10,3,4,1,5,6] => [2,3,2,3]
[7,8,2,9,10,3,1,4,5,6] => [2,3,1,4]
[7,8,2,9,10,1,3,4,5,6] => [2,3,5]
[7,8,9,2,3,4,10,5,1,6] => [3,4,1,2]
[7,8,9,2,3,4,10,1,5,6] => [3,4,3]
[7,8,9,2,3,10,4,5,1,6] => [3,3,2,2]
[7,8,9,2,3,10,4,1,5,6] => [3,3,1,3]
[7,8,9,2,3,10,1,4,5,6] => [3,3,4]
[7,8,9,2,10,3,4,5,1,6] => [3,2,3,2]
[7,8,9,2,10,3,4,1,5,6] => [3,2,2,3]
[7,8,9,2,10,3,1,4,5,6] => [3,2,1,4]
[7,8,9,2,10,1,3,4,5,6] => [3,2,5]
[7,8,9,10,2,3,4,1,5,6] => [4,3,3]
[7,8,9,10,2,3,1,4,5,6] => [4,2,4]
[7,8,9,10,2,1,3,4,5,6] => [4,1,5]
[5,9,8,7,6,4,3,2,1,10] => [2,1,1,1,1,1,1,2]
[10,9,8,6,1,7,5,4,3,2] => [1,1,1,1,2,1,1,1,1]
[1,2,9,3,4,5,6,7,10,8] => [3,6,1]
[1,2,3,4,5,9,6,7,10,8] => [6,3,1]
[1,10,6,2,3,4,9,5,7,8] => [2,1,4,3]
[1,5,2,9,3,10,4,6,7,8] => [2,2,2,4]
[1,2,4,3,10,9,5,6,7,8] => [3,2,1,4]
[1,3,2,4,5,10,9,6,7,8] => [2,4,1,3]
[2,1,3,4,5,9,6,10,7,8] => [1,5,2,2]
[9,10,1,2,6,3,4,5,7,8] => [2,3,5]
[5,9,1,2,3,10,4,6,7,8] => [2,4,4]
[10,4,1,2,3,5,9,6,7,8] => [1,1,5,3]
[9,8,7,6,5,4,1,10,3,2] => [1,1,1,1,1,1,2,1,1]
[9,8,7,6,5,2,10,1,3,4] => [1,1,1,1,1,2,3]
[9,8,7,6,3,10,2,1,4,5] => [1,1,1,1,2,1,3]
[9,8,7,4,10,3,2,1,6,5] => [1,1,1,2,1,1,2,1]
[9,8,5,10,4,3,2,1,6,7] => [1,1,2,1,1,1,3]
[9,6,10,5,4,3,2,1,7,8] => [1,2,1,1,1,1,3]
[7,10,6,5,4,3,2,1,9,8] => [2,1,1,1,1,1,2,1]
[10,7,8,1,2,3,4,5,6,9] => [1,2,7]
[6,7,10,1,2,3,4,5,8,9] => [3,7]
[10,6,5,4,3,2,1,9,8,7] => [1,1,1,1,1,1,2,1,1]
[10,5,4,3,2,1,9,8,7,6] => [1,1,1,1,1,2,1,1,1]
[10,4,3,2,1,9,8,7,6,5] => [1,1,1,1,2,1,1,1,1]
[10,3,2,1,9,8,7,6,5,4] => [1,1,1,2,1,1,1,1,1]
[1,2,3,4,5,8,6,7,9,10] => [6,4]
[1,2,3,4,5,10,6,9,7,8] => [6,2,2]
[1,2,3,6,4,5,7,8,9,10] => [4,6]
[1,2,3,6,4,5,7,10,8,9] => [4,4,2]
[1,2,3,8,4,5,6,7,9,10] => [4,6]
[1,2,3,10,4,5,6,9,7,8] => [4,4,2]
[1,2,3,8,4,7,5,6,9,10] => [4,2,4]
[1,2,3,10,4,7,5,6,8,9] => [4,2,4]
[1,2,3,10,4,9,5,6,7,8] => [4,2,4]
[1,2,3,10,4,9,5,8,6,7] => [4,2,2,2]
[1,4,2,3,5,6,7,10,8,9] => [2,6,2]
[1,4,2,3,5,8,6,7,9,10] => [2,4,4]
[1,4,2,3,5,10,6,7,8,9] => [2,4,4]
[1,4,2,3,5,10,6,9,7,8] => [2,4,2,2]
[1,6,2,3,4,5,7,8,9,10] => [2,8]
[1,6,2,3,4,5,7,10,8,9] => [2,6,2]
[1,8,2,3,4,5,6,7,9,10] => [2,8]
[1,10,2,3,4,5,6,9,7,8] => [2,6,2]
[1,8,2,3,4,7,5,6,9,10] => [2,4,4]
[1,10,2,3,4,7,5,6,8,9] => [2,4,4]
[1,10,2,3,4,9,5,6,7,8] => [2,4,4]
[1,10,2,3,4,9,5,8,6,7] => [2,4,2,2]
[1,6,2,5,3,4,7,10,8,9] => [2,2,4,2]
[1,8,2,5,3,4,6,7,9,10] => [2,2,6]
[1,10,2,5,3,4,6,7,8,9] => [2,2,6]
[1,10,2,5,3,4,6,9,7,8] => [2,2,4,2]
[1,8,2,7,3,4,5,6,9,10] => [2,2,6]
[1,10,2,7,3,4,5,6,8,9] => [2,2,6]
[1,10,2,9,3,4,5,8,6,7] => [2,2,4,2]
[1,10,2,7,3,6,4,5,8,9] => [2,2,2,4]
[1,10,2,9,3,6,4,5,7,8] => [2,2,2,4]
[1,10,2,9,3,8,4,5,6,7] => [2,2,2,4]
[7,8,1,2,3,4,5,6,10,9] => [2,7,1]
[10,9,8,6,7,5,4,3,2,1] => [1,1,1,2,1,1,1,1,1]
[2,1,3,4,10,5,6,7,8,9] => [1,4,5]
[10,3,1,4,5,6,7,8,9,2] => [1,1,7,1]
[9,10,1,2,4,5,6,7,8,3] => [2,7,1]
[10,7,8,3,4,5,6,1,2,9] => [1,2,4,3]
[9,3,1,2,10,5,6,7,8,4] => [1,1,3,4,1]
[10,8,9,1,4,5,6,7,2,3] => [1,2,5,2]
[1,10,9,8,6,5,7,4,3,2] => [2,1,1,1,2,1,1,1]
[3,1,4,5,6,7,9,2,10,8] => [1,6,2,1]
[8,1,9,2,3,4,5,6,10,7] => [1,2,6,1]
[7,9,1,2,3,4,5,6,10,8] => [2,7,1]
[2,9,1,10,3,4,5,6,7,8] => [2,2,6]
[2,8,10,1,3,4,5,6,7,9] => [3,7]
[10,8,9,6,7,4,5,2,1,3] => [1,2,2,2,1,2]
[7,5,6,4,2,3,1,8,9,10] => [1,2,1,2,4]
[6,5,3,4,2,1,7,8,9,10] => [1,1,2,1,5]
[9,6,8,7,5,2,4,3,1,10] => [1,2,1,1,2,1,2]
[8,7,6,4,5,3,2,1,9,10] => [1,1,1,2,1,1,3]
[8,6,3,7,5,2,4,1,9,10] => [1,1,2,1,2,3]
[7,6,4,3,5,2,1,8,9,10] => [1,1,1,2,1,4]
[10,7,3,9,8,6,2,5,4,1] => [1,1,2,1,1,2,1,1]
[9,7,4,3,8,6,2,5,1,10] => [1,1,1,2,1,2,2]
[8,7,5,4,3,6,2,1,9,10] => [1,1,1,1,2,1,3]
[10,8,5,4,3,9,7,2,6,1] => [1,1,1,1,2,1,2,1]
[9,8,6,5,4,3,7,2,1,10] => [1,1,1,1,1,2,1,2]
[5,1,2,7,10,3,4,6,8,9] => [1,4,5]
[2,7,1,4,10,3,5,6,8,9] => [2,3,5]
[2,4,10,1,7,3,5,6,8,9] => [3,2,5]
[2,4,9,1,6,10,3,5,7,8] => [3,3,4]
[2,4,9,1,7,3,5,6,8,10] => [3,2,5]
[2,6,1,4,9,3,5,7,8,10] => [2,3,5]
[4,1,2,6,9,3,5,7,8,10] => [1,4,5]
[1,2,4,6,9,3,5,7,8,10] => [5,5]
[2,4,3,1,5,6,7,8,9,10] => [2,1,7]
[2,3,6,4,5,1,7,8,9,10] => [3,2,5]
[3,4,5,2,1,6,7,8,9,10] => [3,1,6]
[2,3,4,8,5,6,7,1,9,10] => [4,3,3]
[3,5,4,7,2,6,1,8,9,10] => [2,2,2,4]
[2,6,4,1,5,3,7,8,9,10] => [2,1,2,5]
[4,5,2,6,3,1,7,8,9,10] => [2,2,1,5]
[3,6,4,5,9,2,7,8,1,10] => [2,3,3,2]
[2,5,4,7,8,6,3,1,9,10] => [2,3,1,1,3]
[4,6,2,5,8,3,7,1,9,10] => [2,3,2,3]
[3,5,7,6,1,4,2,8,9,10] => [3,1,2,4]
[5,6,2,3,7,4,1,8,9,10] => [2,3,1,4]
[2,5,4,8,6,10,7,3,9,1] => [2,2,2,1,2,1]
[4,7,2,5,6,10,3,8,9,1] => [2,4,3,1]
[2,3,9,5,6,1,7,8,4,10] => [3,2,3,2]
[5,7,2,3,6,9,4,8,1,10] => [2,4,2,2]
[2,8,4,1,6,3,7,5,9,10] => [2,1,2,2,3]
[4,6,7,8,3,1,5,2,9,10] => [4,1,2,3]
[6,7,2,3,4,8,5,1,9,10] => [2,4,1,3]
[3,6,4,10,8,7,1,5,9,2] => [2,2,1,1,3,1]
[2,7,4,9,6,3,10,8,5,1] => [2,2,1,2,1,1,1]
[4,6,8,7,3,9,10,5,2,1] => [3,1,3,1,1,1]
[6,8,2,3,4,7,10,5,9,1] => [2,5,2,1]
[3,5,9,7,1,8,2,6,4,10] => [3,1,2,2,2]
[5,7,8,3,9,4,1,6,2,10] => [3,2,1,2,2]
[7,8,2,3,4,5,9,6,1,10] => [2,5,1,2]
[4,6,8,10,9,1,5,2,7,3] => [4,1,2,2,1]
[6,8,9,3,4,10,5,1,7,2] => [3,3,1,2,1]
[8,9,2,3,4,5,6,10,7,1] => [2,6,1,1]
[8,9,10,2,3,4,5,6,7,1] => [3,6,1]
[8,10,2,3,4,5,6,1,7,9] => [2,5,3]
[9,10,8,2,3,4,1,5,6,7] => [2,1,3,4]
[8,9,10,7,2,1,3,4,5,6] => [3,1,1,5]
[7,8,1,9,5,10,2,3,4,6] => [2,2,2,4]
[6,1,7,8,9,10,5,2,3,4] => [1,5,1,3]
[1,5,6,7,8,9,10,4,2,3] => [7,1,2]
[9,8,7,5,10,4,3,2,1,6] => [1,1,1,2,1,1,1,2]
[10,8,9,6,4,7,2,5,1,3] => [1,2,1,2,2,2]
[10,8,9,6,7,4,2,5,1,3] => [1,2,2,1,2,2]
[2,1,8,5,9,7,4,10,3,6] => [1,2,2,1,2,2]
[6,3,7,5,2,8,1,4,10,9] => [1,2,1,2,3,1]
[8,3,9,5,2,7,4,10,1,6] => [1,2,1,2,2,2]
[6,3,7,5,2,8,9,10,1,4] => [1,2,1,4,2]
[8,3,9,5,6,7,2,10,1,4] => [1,2,3,2,2]
[4,3,7,8,6,10,9,5,1,2] => [1,3,2,1,1,2]
[8,3,4,5,9,7,2,10,1,6] => [1,4,1,2,2]
[8,5,4,6,7,2,9,10,1,3] => [1,1,3,3,2]
[2,7,4,8,6,3,9,1,10,5] => [2,2,1,2,2,1]
[10,1,2,9,6,3,4,5,7,8] => [1,3,1,5]
[4,1,2,10,3,5,9,6,7,8] => [1,3,3,3]
[1,2,3,10,4,5,9,6,8,7] => [4,3,2,1]
[1,2,9,3,4,5,10,6,8,7] => [3,4,2,1]
[1,2,3,10,4,8,5,6,9,7] => [4,2,3,1]
[1,2,3,5,9,10,4,6,8,7] => [6,3,1]
[1,2,9,3,7,4,5,6,10,8] => [3,2,4,1]
[1,2,4,8,3,10,5,6,9,7] => [4,2,3,1]
[1,2,4,8,9,3,5,6,10,7] => [5,4,1]
[1,2,3,10,4,5,9,7,6,8] => [4,3,1,2]
[1,2,9,3,4,5,10,7,6,8] => [3,4,1,2]
[1,2,3,10,4,5,8,9,6,7] => [4,4,2]
[1,2,3,5,6,10,8,9,4,7] => [6,2,2]
[1,2,9,3,4,7,5,10,6,8] => [3,3,2,2]
[1,2,4,5,3,10,8,9,6,7] => [4,2,2,2]
[1,2,4,5,9,7,3,10,6,8] => [5,1,2,2]
[1,2,3,10,4,8,6,5,7,9] => [4,2,1,3]
[1,2,3,5,9,10,6,4,7,8] => [6,1,3]
[1,2,3,5,9,7,10,4,6,8] => [5,2,3]
[1,2,9,3,7,5,4,6,8,10] => [3,2,1,4]
[1,2,4,8,3,10,6,5,7,9] => [4,2,1,3]
[1,2,4,8,3,7,10,5,6,9] => [4,3,3]
[1,2,4,8,9,5,3,6,7,10] => [5,1,4]
[1,2,3,10,4,7,5,9,6,8] => [4,2,2,2]
[1,2,3,5,10,7,4,9,6,8] => [5,1,2,2]
[1,2,9,3,6,4,5,10,7,8] => [3,2,3,2]
[1,2,4,3,10,7,5,9,6,8] => [3,2,1,2,2]
[1,2,4,9,6,3,5,10,7,8] => [4,1,3,2]
[1,2,3,10,4,7,8,5,6,9] => [4,3,3]
[1,2,3,5,10,7,8,4,6,9] => [5,2,3]
[1,2,3,5,8,9,10,4,6,7] => [7,3]
[1,2,9,3,6,7,4,5,8,10] => [3,3,4]
[1,2,4,3,10,7,8,5,6,9] => [3,2,2,3]
[1,2,4,3,8,9,10,5,6,7] => [3,4,3]
[1,2,4,9,6,7,3,5,8,10] => [4,2,4]
[1,2,4,7,8,3,10,5,6,9] => [5,2,3]
[1,2,4,7,8,9,3,5,6,10] => [6,4]
[1,3,2,4,10,7,5,9,6,8] => [2,3,1,2,2]
[1,3,2,9,6,4,5,10,7,8] => [2,2,1,3,2]
[1,3,2,4,10,7,8,5,6,9] => [2,3,2,3]
[1,3,2,4,8,9,10,5,6,7] => [2,5,3]
[1,3,2,9,6,7,4,5,8,10] => [2,2,2,4]
[1,3,2,7,8,4,10,5,6,9] => [2,3,2,3]
[1,3,2,7,8,9,4,5,6,10] => [2,4,4]
[1,10,9,8,5,6,7,4,3,2] => [2,1,1,3,1,1,1]
[1,10,9,5,6,7,8,4,3,2] => [2,1,4,1,1,1]
[1,10,4,5,6,7,8,9,3,2] => [2,6,1,1]
[7,6,8,9,10,1,2,3,4,5] => [1,4,5]
[7,8,6,9,10,1,2,3,4,5] => [2,3,5]
[7,8,9,6,10,1,2,3,4,5] => [3,2,5]
[7,8,9,10,6,1,2,3,4,5] => [4,1,5]
[5,7,8,9,10,6,1,2,3,4] => [5,1,4]
[5,6,8,9,10,1,7,2,3,4] => [5,2,3]
[5,6,7,9,10,1,2,8,3,4] => [5,3,2]
[5,6,7,8,10,1,2,3,9,4] => [5,4,1]
[3,10,4,5,6,7,8,2,1,9] => [2,5,1,2]
[4,1,10,5,6,7,8,9,3,2] => [1,2,5,1,1]
[4,2,10,5,6,7,8,3,1,9] => [1,2,4,1,2]
[3,10,4,5,6,7,2,8,1,9] => [2,4,2,2]
[5,1,3,10,6,7,8,9,4,2] => [1,3,4,1,1]
[4,1,10,5,6,7,8,3,9,2] => [1,2,4,2,1]
[1,3,2,5,4,7,10,9,8,6] => [2,2,3,1,1,1]
[1,2,3,5,4,7,10,9,8,6] => [4,3,1,1,1]
[2,3,4,6,5,8,10,9,7,1] => [4,3,1,1,1]
[1,3,2,5,4,6,8,10,7,9] => [2,2,4,2]
[1,3,2,5,4,6,10,7,8,9] => [2,2,3,3]
[1,3,2,4,6,7,5,10,8,9] => [2,4,2,2]
[1,3,2,4,6,5,8,10,7,9] => [2,3,3,2]
[1,3,2,4,6,5,10,7,8,9] => [2,3,2,3]
[1,3,2,4,5,7,8,10,6,9] => [2,6,2]
[1,3,2,4,5,7,10,6,8,9] => [2,5,3]
[1,3,2,4,5,10,6,7,8,9] => [2,4,4]
[1,2,4,5,3,7,6,10,8,9] => [4,2,2,2]
[1,2,4,5,3,6,8,10,7,9] => [4,4,2]
[1,2,4,5,3,6,10,7,8,9] => [4,3,3]
[1,2,4,3,6,7,5,10,8,9] => [3,3,2,2]
[1,2,4,3,6,5,8,10,7,9] => [3,2,3,2]
[1,2,4,3,6,5,10,7,8,9] => [3,2,2,3]
[1,2,4,3,5,7,8,10,6,9] => [3,5,2]
[1,2,4,3,5,7,10,6,8,9] => [3,4,3]
[1,2,4,3,5,10,6,7,8,9] => [3,3,4]
[1,2,3,5,6,7,4,10,8,9] => [6,2,2]
[1,2,3,5,6,4,8,10,7,9] => [5,3,2]
[1,2,3,5,6,4,10,7,8,9] => [5,2,3]
[1,2,3,5,4,7,8,10,6,9] => [4,4,2]
[1,2,3,5,4,7,10,6,8,9] => [4,3,3]
[1,2,3,5,4,10,6,7,8,9] => [4,2,4]
[1,2,3,4,6,7,8,10,5,9] => [8,2]
[1,2,3,4,6,7,10,5,8,9] => [7,3]
[1,2,3,4,6,10,5,7,8,9] => [6,4]
[5,3,1,2,6,7,8,9,10,4] => [1,1,7,1]
[7,3,4,5,1,2,8,9,10,6] => [1,3,5,1]
[8,3,4,5,6,1,2,9,10,7] => [1,4,4,1]
[2,6,7,8,9,10,1,3,4,5] => [6,4]
[2,1,4,3,8,10,7,9,6,5] => [1,2,3,2,1,1]
[2,1,6,8,5,7,4,3,10,9] => [1,3,2,1,2,1]
[2,1,8,10,5,7,4,9,6,3] => [1,3,2,2,1,1]
[2,1,8,5,10,6,7,9,4,3] => [1,2,2,3,1,1]
[2,1,4,7,10,6,9,8,5,3] => [1,4,2,1,1,1]
[2,4,3,1,8,10,7,9,6,5] => [2,1,3,2,1,1]
[4,6,3,5,2,1,8,7,10,9] => [2,2,1,2,2,1]
[4,6,3,5,2,1,8,10,9,7] => [2,2,1,3,1,1]
[6,8,3,5,2,7,4,1,10,9] => [2,2,2,1,2,1]
[8,10,3,5,2,7,4,9,6,1] => [2,2,2,2,1,1]
[6,7,3,5,2,10,8,4,9,1] => [2,2,2,1,2,1]
[8,5,3,10,6,2,7,9,4,1] => [1,1,2,1,3,1,1]
[4,7,3,10,6,2,9,8,5,1] => [2,2,1,2,1,1,1]
[4,5,3,6,10,7,2,8,9,1] => [2,3,1,3,1]
[6,3,8,4,5,7,2,1,10,9] => [1,2,3,1,2,1]
[8,3,10,4,5,7,2,9,6,1] => [1,2,3,2,1,1]
[2,5,8,4,7,6,3,1,10,9] => [3,2,1,1,2,1]
[8,5,10,4,7,6,3,9,2,1] => [1,2,2,1,2,1,1]
[2,7,10,4,9,6,8,3,5,1] => [3,2,2,2,1]
[8,3,4,10,5,6,7,9,2,1] => [1,3,4,1,1]
[2,7,4,10,5,6,9,8,3,1] => [2,2,3,1,1,1]
[2,3,6,10,5,9,7,8,4,1] => [4,2,2,1,1]
[10,8,9,7,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1]
[10,8,6,4,9,7,5,3,2,1] => [1,1,1,2,1,1,1,1,1]
[10,8,6,4,2,1,9,7,5,3] => [1,1,1,1,1,2,1,1,1]
[10,8,9,6,5,4,3,2,1,7] => [1,2,1,1,1,1,1,2]
[9,7,10,8,5,4,3,2,1,6] => [1,2,1,1,1,1,1,2]
[9,7,4,3,2,1,5,10,8,6] => [1,1,1,1,1,3,1,1]
[9,7,5,10,8,6,3,2,1,4] => [1,1,2,1,1,1,1,2]
[10,8,6,4,9,7,5,2,1,3] => [1,1,1,2,1,1,1,2]
[10,8,6,4,1,2,9,7,5,3] => [1,1,1,1,3,1,1,1]
[2,5,1,6,3,7,4,8,9,10] => [2,2,2,4]
[3,4,5,1,6,2,7,8,9,10] => [3,2,5]
[2,6,1,7,3,8,4,9,5,10] => [2,2,2,2,2]
[3,4,6,1,7,2,8,5,9,10] => [3,2,2,3]
[3,2,6,1,7,4,8,5,9,10] => [1,2,2,2,3]
[4,2,5,6,1,7,3,8,9,10] => [1,3,2,4]
[3,4,2,6,1,7,5,8,9,10] => [2,2,2,4]
[3,2,7,1,8,4,9,5,10,6] => [1,2,2,2,2,1]
[4,5,6,7,1,8,2,9,3,10] => [4,2,2,2]
[3,4,2,7,1,8,5,9,6,10] => [2,2,2,2,2]
[5,3,6,4,7,1,8,2,9,10] => [1,2,2,2,3]
[3,5,2,6,7,1,8,4,9,10] => [2,3,2,3]
[4,3,5,2,7,1,8,6,9,10] => [1,2,2,2,3]
[5,2,6,7,8,1,9,3,10,4] => [1,4,2,2,1]
[5,3,6,4,8,1,9,2,10,7] => [1,2,2,2,2,1]
[3,5,2,6,8,1,9,4,10,7] => [2,3,2,2,1]
[4,3,5,2,8,1,9,6,10,7] => [1,2,2,2,2,1]
[4,6,2,7,5,8,1,9,3,10] => [2,2,2,2,2]
[4,3,6,2,7,8,1,9,5,10] => [1,2,3,2,2]
[4,5,3,6,2,8,1,9,7,10] => [2,2,2,2,2]
[5,3,7,2,8,6,9,1,10,4] => [1,2,2,2,2,1]
[4,5,3,7,2,8,9,1,10,6] => [2,2,3,2,1]
[5,4,6,3,7,2,9,1,10,8] => [1,2,2,2,2,1]
[8,7,10,6,5,4,3,2,1,9] => [1,2,1,1,1,1,1,2]
[8,7,6,10,5,4,3,2,1,9] => [1,1,2,1,1,1,1,2]
[8,7,6,5,4,10,3,2,1,9] => [1,1,1,1,2,1,1,2]
[8,7,6,5,4,3,10,2,1,9] => [1,1,1,1,1,2,1,2]
[10,6,7,1,2,3,4,5,8,9] => [1,2,7]
[9,8,10,1,2,3,4,5,6,7] => [1,2,7]
[9,7,10,1,2,3,4,5,6,8] => [1,2,7]
[9,6,7,10,1,2,3,4,5,8] => [1,3,6]
[8,7,9,1,2,3,4,5,6,10] => [1,2,7]
[8,6,7,1,2,3,4,5,9,10] => [1,2,7]
[7,6,8,1,2,3,4,5,9,10] => [1,2,7]
[9,6,10,1,2,3,4,5,7,8] => [1,2,7]
[9,5,10,1,2,3,4,6,7,8] => [1,2,7]
[8,6,9,1,2,3,4,5,7,10] => [1,2,7]
[8,5,9,1,2,3,4,6,7,10] => [1,2,7]
[7,5,8,1,2,3,4,6,9,10] => [1,2,7]
[8,4,9,1,2,3,5,6,7,10] => [1,2,7]
[7,4,8,1,2,3,5,6,9,10] => [1,2,7]
[5,1,6,7,8,9,10,2,3,4] => [1,6,3]
[2,1,4,3,8,7,9,10,6,5] => [1,2,2,3,1,1]
[2,1,6,5,7,8,4,3,10,9] => [1,2,3,1,2,1]
[2,1,8,5,7,9,4,10,6,3] => [1,2,3,2,1,1]
[2,1,6,5,7,8,9,10,4,3] => [1,2,5,1,1]
[2,1,8,5,6,7,9,10,4,3] => [1,2,5,1,1]
[2,1,4,7,6,8,9,5,10,3] => [1,3,3,2,1]
[2,3,4,1,8,7,9,10,6,5] => [3,2,3,1,1]
[4,3,5,6,2,1,8,7,10,9] => [1,3,1,2,2,1]
[4,3,5,6,2,1,8,9,10,7] => [1,3,1,4,1]
[6,3,5,7,2,8,4,1,10,9] => [1,3,2,1,2,1]
[8,3,5,7,2,9,4,10,6,1] => [1,3,2,2,1,1]
[6,3,5,7,2,8,9,10,4,1] => [1,3,4,1,1]
[4,3,5,6,7,8,2,1,10,9] => [1,5,1,2,1]
[8,3,5,6,7,9,2,10,4,1] => [1,5,2,1,1]
[4,3,7,6,8,9,10,2,5,1] => [1,2,4,2,1]
[6,3,4,5,7,8,2,1,10,9] => [1,5,1,2,1]
[8,3,4,5,7,9,2,10,6,1] => [1,5,2,1,1]
[6,3,4,5,7,8,9,10,2,1] => [1,7,1,1]
[2,5,4,6,7,3,8,1,10,9] => [2,3,2,2,1]
[8,5,4,6,7,3,9,10,2,1] => [1,1,3,3,1,1]
[2,7,4,6,8,3,9,5,10,1] => [2,3,2,2,1]
[2,5,4,6,7,8,9,3,10,1] => [2,5,2,1]
[8,3,4,5,6,7,9,10,2,1] => [1,7,1,1]
[2,7,4,5,6,8,9,3,10,1] => [2,5,2,1]
[2,3,6,5,7,8,4,9,10,1] => [3,3,3,1]
[7,8,6,5,4,3,2,1,10,9] => [2,1,1,1,1,1,2,1]
[5,6,7,8,9,10,1,3,4,2] => [6,3,1]
[5,6,7,8,9,10,1,4,3,2] => [6,2,1,1]
[7,8,9,10,1,4,5,6,2,3] => [4,4,2]
[7,8,9,10,1,4,5,6,3,2] => [4,4,1,1]
[7,8,9,10,1,5,6,4,3,2] => [4,3,1,1,1]
[7,8,9,10,1,6,5,4,3,2] => [4,2,1,1,1,1]
[8,9,10,1,4,5,6,7,2,3] => [3,5,2]
[8,9,10,1,4,5,6,7,3,2] => [3,5,1,1]
[8,9,10,1,5,6,7,2,3,4] => [3,4,3]
[8,9,10,1,5,6,7,4,3,2] => [3,4,1,1,1]
[8,9,10,1,6,7,4,5,2,3] => [3,3,2,2]
[8,9,10,1,6,7,4,5,3,2] => [3,3,2,1,1]
[8,9,10,1,6,7,5,4,3,2] => [3,3,1,1,1,1]
[8,9,10,1,7,6,5,4,3,2] => [3,2,1,1,1,1,1]
[9,10,1,6,7,8,3,4,5,2] => [2,4,3,1]
[9,10,1,6,7,8,4,5,2,3] => [2,4,2,2]
[9,10,1,6,7,8,4,5,3,2] => [2,4,2,1,1]
[9,10,1,6,7,8,5,4,3,2] => [2,4,1,1,1,1]
[9,10,1,7,8,5,6,3,4,2] => [2,3,2,2,1]
[9,10,1,7,8,5,6,4,3,2] => [2,3,2,1,1,1]
[9,10,1,7,8,6,5,4,3,2] => [2,3,1,1,1,1,1]
[10,1,8,9,6,7,4,5,3,2] => [1,3,2,2,1,1]
[10,1,8,9,6,7,5,4,3,2] => [1,3,2,1,1,1,1]
[10,1,8,9,7,6,5,4,3,2] => [1,3,1,1,1,1,1,1]
[2,10,1,4,5,6,7,8,9,3] => [2,7,1]
[6,10,9,8,7,5,4,3,1,2] => [2,1,1,1,1,1,1,2]
[8,9,7,6,5,4,3,2,10,1] => [2,1,1,1,1,1,2,1]
[2,9,10,8,7,6,5,4,3,1] => [3,1,1,1,1,1,1,1]
[7,9,8,6,5,4,3,2,10,1] => [2,1,1,1,1,1,2,1]
[2,9,8,10,7,6,5,4,3,1] => [2,2,1,1,1,1,1,1]
[2,8,10,9,7,6,5,4,3,1] => [3,1,1,1,1,1,1,1]
[2,3,4,5,6,7,1,9,10,8] => [6,3,1]
[2,3,4,5,1,7,8,9,10,6] => [4,5,1]
[2,3,1,5,6,7,8,9,10,4] => [2,7,1]
[4,2,5,3,7,6,9,8,1,10] => [1,2,2,2,1,2]
[4,2,6,3,7,5,9,8,1,10] => [1,2,2,2,1,2]
[4,2,6,3,8,5,9,7,1,10] => [1,2,2,2,1,2]
[4,2,6,3,8,5,10,7,1,9] => [1,2,2,2,1,2]
[4,2,6,3,8,5,10,7,9,1] => [1,2,2,2,2,1]
[4,2,6,3,8,5,7,10,9,1] => [1,2,2,3,1,1]
[4,2,6,3,5,8,7,10,9,1] => [1,2,3,2,1,1]
[4,2,3,6,5,8,7,10,9,1] => [1,3,2,2,1,1]
[8,10,1,9,7,6,5,4,3,2] => [2,2,1,1,1,1,1,1]
[3,4,5,6,7,10,2,1,9,8] => [6,1,2,1]
[3,4,5,6,9,2,10,1,8,7] => [5,2,2,1]
[3,4,5,8,2,9,10,1,6,7] => [4,3,3]
[3,4,7,2,8,9,10,1,6,5] => [3,4,2,1]
[3,6,2,7,8,9,10,1,5,4] => [2,5,2,1]
[5,2,6,7,8,9,10,1,3,4] => [1,6,3]
[2,10,9,8,6,7,5,4,3,1] => [2,1,1,2,1,1,1,1]
[9,8,7,5,4,6,3,2,10,1] => [1,1,1,1,2,1,2,1]
[9,8,7,4,6,5,3,2,10,1] => [1,1,1,2,1,1,2,1]
[2,10,9,8,6,5,7,4,3,1] => [2,1,1,1,2,1,1,1]
[2,10,9,8,5,7,6,4,3,1] => [2,1,1,2,1,1,1,1]
[9,10,8,7,6,5,4,1,3,2] => [2,1,1,1,1,1,2,1]
[10,8,7,6,5,4,3,2,9,1] => [1,1,1,1,1,1,1,2,1]
[3,2,5,4,7,6,1,8,9,10] => [1,2,2,1,4]
[3,2,5,4,1,9,8,6,7,10] => [1,2,1,2,1,3]
[3,2,5,4,1,6,7,8,9,10] => [1,2,1,6]
[3,2,7,6,5,4,1,8,9,10] => [1,2,1,1,1,4]
[3,2,1,7,6,9,8,4,5,10] => [1,1,2,2,1,3]
[3,2,1,7,6,4,5,8,9,10] => [1,1,2,1,5]
[3,2,1,9,8,7,6,4,5,10] => [1,1,2,1,1,1,3]
[3,2,1,4,9,8,5,6,7,10] => [1,1,3,1,4]
[5,4,3,2,7,6,1,8,9,10] => [1,1,1,2,1,4]
[5,4,3,2,1,9,8,6,7,10] => [1,1,1,1,2,1,3]
[7,4,3,6,5,2,1,8,9,10] => [1,1,2,1,1,4]
[1,5,4,7,6,9,8,2,3,10] => [2,2,2,1,3]
[1,5,4,7,6,2,3,8,9,10] => [2,2,1,5]
[1,5,4,9,8,7,6,2,3,10] => [2,2,1,1,1,3]
[1,5,4,2,9,8,3,6,7,10] => [2,1,2,1,4]
[1,5,4,2,3,6,7,8,9,10] => [2,1,7]
[1,7,6,5,4,9,8,2,3,10] => [2,1,1,2,1,3]
[1,7,6,5,4,2,3,8,9,10] => [2,1,1,1,5]
[1,9,6,5,8,7,4,2,3,10] => [2,1,2,1,1,3]
[1,2,7,6,9,8,3,4,5,10] => [3,2,1,4]
[1,2,7,6,3,4,5,8,9,10] => [3,1,6]
[1,9,8,7,6,5,4,2,3,10] => [2,1,1,1,1,1,3]
[1,2,9,8,7,6,3,4,5,10] => [3,1,1,1,4]
[1,2,3,9,8,4,5,6,7,10] => [4,1,5]
[10,2,9,8,5,6,7,4,3,1] => [1,2,1,3,1,1,1]
[8,10,9,4,5,6,7,1,3,2] => [2,1,4,2,1]
[9,7,6,4,5,3,2,10,1,8] => [1,1,1,2,1,2,2]
[9,2,10,8,5,6,7,4,1,3] => [1,2,1,3,1,2]
[10,2,8,7,5,6,4,3,9,1] => [1,2,1,2,1,2,1]
[1,3,2,4,5,6,7,8,10,9] => [2,7,1]
[2,9,4,5,6,7,8,1,10,3] => [2,5,2,1]
[4,3,10,5,6,7,8,9,2,1] => [1,2,5,1,1]
[3,2,9,5,6,7,8,1,10,4] => [1,2,4,2,1]
[8,9,4,5,6,7,1,3,10,2] => [2,4,3,1]
[3,4,1,10,6,7,8,9,2,5] => [2,2,4,2]
[4,9,10,5,6,7,8,2,1,3] => [3,4,1,2]
[9,1,2,3,6,4,5,7,8,10] => [1,4,5]
[4,9,8,7,6,5,3,2,1,10] => [2,1,1,1,1,1,1,2]
[5,10,9,8,7,6,4,3,1,2] => [2,1,1,1,1,1,1,2]
[5,6,7,8,9,10,3,2,1,4] => [6,1,1,2]
[7,8,9,10,3,4,5,1,2,6] => [4,3,3]
[7,8,9,10,3,4,5,2,1,6] => [4,3,1,2]
[7,8,9,10,4,5,2,3,1,6] => [4,2,2,2]
[7,8,9,10,4,5,3,2,1,6] => [4,2,1,1,2]
[7,8,9,10,5,4,3,2,1,6] => [4,1,1,1,1,2]
[8,9,10,3,4,5,6,1,2,7] => [3,4,3]
[8,9,10,3,4,5,6,2,1,7] => [3,4,1,2]
[8,9,10,4,5,6,1,2,3,7] => [3,3,4]
[8,9,10,4,5,6,3,2,1,7] => [3,3,1,1,2]
[8,9,10,5,6,3,4,1,2,7] => [3,2,2,3]
[8,9,10,5,6,3,4,2,1,7] => [3,2,2,1,2]
[8,9,10,5,6,4,3,2,1,7] => [3,2,1,1,1,2]
[8,9,10,6,5,4,3,2,1,7] => [3,1,1,1,1,1,2]
[9,10,5,6,7,2,3,4,1,8] => [2,3,3,2]
[9,10,5,6,7,3,4,1,2,8] => [2,3,2,3]
[9,10,5,6,7,3,4,2,1,8] => [2,3,2,1,2]
[9,10,5,6,7,4,3,2,1,8] => [2,3,1,1,1,2]
[9,10,6,7,4,5,3,2,1,8] => [2,2,2,1,1,2]
[9,10,6,7,5,4,3,2,1,8] => [2,2,1,1,1,1,2]
[9,10,7,6,5,4,3,2,1,8] => [2,1,1,1,1,1,1,2]
[10,7,8,5,6,3,4,2,1,9] => [1,2,2,2,1,2]
[10,7,8,5,6,4,3,2,1,9] => [1,2,2,1,1,1,2]
[10,7,8,6,5,4,3,2,1,9] => [1,2,1,1,1,1,1,2]
[10,9,1,2,3,7,8,4,5,6] => [1,1,5,3]
[10,9,1,2,8,7,3,4,5,6] => [1,1,3,1,4]
[9,8,1,10,7,2,3,4,5,6] => [1,1,2,1,5]
[8,6,1,2,3,4,5,9,10,7] => [1,1,7,1]
[5,7,1,2,3,4,8,9,10,6] => [2,7,1]
[10,4,1,2,3,7,8,9,5,6] => [1,1,6,2]
[10,3,1,2,9,7,8,4,5,6] => [1,1,3,2,3]
[2,9,1,10,8,7,3,4,5,6] => [2,2,1,1,4]
[9,1,8,3,2,4,10,7,6,5] => [1,2,1,3,1,1,1]
[8,1,10,3,2,4,9,6,7,5] => [1,2,1,3,2,1]
[10,1,9,3,2,4,8,7,6,5] => [1,2,1,3,1,1,1]
[10,1,9,3,2,8,4,6,7,5] => [1,2,1,2,3,1]
[8,1,2,3,10,9,5,6,4,7] => [1,4,1,2,2]
[8,1,2,10,3,9,5,4,6,7] => [1,3,2,1,3]
[7,1,2,10,9,4,5,3,8,6] => [1,3,1,2,2,1]
[8,1,10,2,3,9,5,6,4,7] => [1,2,3,2,2]
[7,1,10,2,9,4,3,5,8,6] => [1,2,2,1,3,1]
[10,1,2,9,3,8,5,6,4,7] => [1,3,2,2,2]
[10,1,9,2,3,8,5,6,7,4] => [1,2,3,3,1]
[10,1,9,2,8,4,3,5,7,6] => [1,2,2,1,3,1]
[9,1,8,2,7,4,5,3,6,10] => [1,2,2,2,3]
[10,1,9,8,3,2,4,7,5,6] => [1,2,1,1,3,2]
[8,10,1,2,3,9,5,4,6,7] => [2,4,1,3]
[7,10,1,2,9,4,5,3,8,6] => [2,3,2,2,1]
[10,9,1,2,3,8,5,6,4,7] => [1,1,4,2,2]
[10,9,1,2,8,4,3,5,6,7] => [1,1,3,1,4]
[9,8,1,2,7,4,5,6,3,10] => [1,1,3,3,2]
[10,9,1,8,3,2,4,7,6,5] => [1,1,2,1,3,1,1]
[1,4,3,5,6,7,8,9,10,2] => [2,7,1]
[4,2,6,1,3,5,8,7,10,9] => [1,2,4,2,1]
[4,2,6,1,8,3,5,7,10,9] => [1,2,2,4,1]
[4,2,6,1,8,3,10,5,7,9] => [1,2,2,2,3]
[10,7,1,8,2,9,3,4,5,6] => [1,1,2,2,4]
[9,7,1,10,8,2,3,4,5,6] => [1,1,2,1,5]
[10,9,7,1,8,2,3,4,5,6] => [1,1,1,2,5]
[10,6,1,7,2,8,3,9,4,5] => [1,1,2,2,2,2]
[9,6,1,10,7,2,8,3,4,5] => [1,1,2,1,2,3]
[10,9,6,1,7,2,8,3,4,5] => [1,1,1,2,2,3]
[10,8,6,1,9,7,2,3,4,5] => [1,1,1,2,1,4]
[10,9,8,6,1,7,2,3,4,5] => [1,1,1,1,2,4]
[9,5,1,10,6,2,7,3,8,4] => [1,1,2,1,2,2,1]
[10,9,5,1,6,2,7,3,8,4] => [1,1,1,2,2,2,1]
[8,5,1,9,6,2,10,7,3,4] => [1,1,2,1,2,1,2]
[10,8,5,1,9,6,2,7,3,4] => [1,1,1,2,1,2,2]
[10,9,8,5,1,6,2,7,3,4] => [1,1,1,1,2,2,2]
[9,7,5,1,10,8,6,2,3,4] => [1,1,1,2,1,1,3]
[10,9,7,5,1,8,6,2,3,4] => [1,1,1,1,2,1,3]
[10,9,8,7,5,1,6,2,3,4] => [1,1,1,1,1,2,3]
[9,7,4,1,10,8,5,2,6,3] => [1,1,1,2,1,1,2,1]
[10,9,7,4,1,8,5,2,6,3] => [1,1,1,1,2,1,2,1]
[10,9,8,7,4,1,5,2,6,3] => [1,1,1,1,1,2,2,1]
[10,8,6,4,1,9,7,5,2,3] => [1,1,1,1,2,1,1,2]
[10,9,8,6,4,1,7,5,2,3] => [1,1,1,1,1,2,1,2]
[10,9,8,7,6,4,1,5,2,3] => [1,1,1,1,1,1,2,2]
[10,9,7,5,3,1,8,6,4,2] => [1,1,1,1,1,2,1,1,1]
[10,9,8,7,5,3,1,6,4,2] => [1,1,1,1,1,1,2,1,1]
[10,9,8,7,6,5,3,1,4,2] => [1,1,1,1,1,1,1,2,1]
[3,10,9,8,7,6,5,4,1,2] => [2,1,1,1,1,1,1,2]
[2,3,4,10,6,7,8,9,1,5] => [4,4,2]
[2,3,10,5,6,7,8,9,1,4] => [3,5,2]
[2,3,4,5,6,10,1,9,7,8] => [6,2,2]
[2,3,4,5,10,1,8,9,6,7] => [5,3,2]
[2,3,10,1,6,7,8,9,4,5] => [3,5,2]
[1,4,2,6,5,8,7,10,9,3] => [2,2,2,2,1,1]
[1,5,2,6,4,8,7,10,9,3] => [2,2,2,2,1,1]
[1,5,2,7,4,8,6,10,9,3] => [2,2,2,2,1,1]
[1,5,2,7,4,9,6,10,8,3] => [2,2,2,2,1,1]
[1,5,2,7,4,9,6,8,10,3] => [2,2,2,3,1]
[1,5,2,7,4,6,9,8,10,3] => [2,2,3,2,1]
[1,5,2,4,7,6,9,8,10,3] => [2,3,2,2,1]
[1,2,5,4,7,6,9,8,10,3] => [3,2,2,2,1]
[9,10,7,8,5,3,6,4,1,2] => [2,2,1,2,1,2]
[9,10,7,8,5,3,1,6,4,2] => [2,2,1,1,2,1,1]
[9,10,7,5,8,6,3,4,1,2] => [2,1,2,1,2,2]
[9,10,7,5,8,6,3,1,4,2] => [2,1,2,1,1,2,1]
[9,10,7,5,8,3,6,4,1,2] => [2,1,2,2,1,2]
[9,10,7,5,8,3,1,6,4,2] => [2,1,2,1,2,1,1]
[9,10,7,5,3,8,6,4,1,2] => [2,1,1,2,1,1,2]
[9,10,7,5,3,8,6,1,4,2] => [2,1,1,2,1,2,1]
[9,10,7,5,3,8,1,6,4,2] => [2,1,1,2,2,1,1]
[9,10,7,5,3,1,8,6,4,2] => [2,1,1,1,2,1,1,1]
[9,7,10,8,5,6,3,1,4,2] => [1,2,1,2,1,2,1]
[9,7,10,8,5,3,6,4,1,2] => [1,2,1,1,2,1,2]
[9,7,10,8,5,3,6,1,4,2] => [1,2,1,1,2,2,1]
[9,7,10,8,5,3,1,6,4,2] => [1,2,1,1,1,2,1,1]
[9,7,10,5,8,6,3,1,4,2] => [1,2,2,1,1,2,1]
[9,7,10,5,8,3,1,6,4,2] => [1,2,2,1,2,1,1]
[9,7,10,5,3,8,6,4,1,2] => [1,2,1,2,1,1,2]
[9,7,10,5,3,8,6,1,4,2] => [1,2,1,2,1,2,1]
[9,7,10,5,3,8,1,6,4,2] => [1,2,1,2,2,1,1]
[9,7,10,5,3,1,8,6,4,2] => [1,2,1,1,2,1,1,1]
[9,7,5,10,8,6,3,4,1,2] => [1,1,2,1,1,2,2]
[9,7,5,10,8,6,3,1,4,2] => [1,1,2,1,1,1,2,1]
[9,7,5,10,8,3,6,4,1,2] => [1,1,2,1,2,1,2]
[9,7,5,10,8,3,6,1,4,2] => [1,1,2,1,2,2,1]
[9,7,5,10,8,3,1,6,4,2] => [1,1,2,1,1,2,1,1]
[9,7,5,10,3,8,6,4,1,2] => [1,1,2,2,1,1,2]
[9,7,5,10,3,8,6,1,4,2] => [1,1,2,2,1,2,1]
[9,7,5,10,3,8,1,6,4,2] => [1,1,2,2,2,1,1]
[9,7,5,10,3,1,8,6,4,2] => [1,1,2,1,2,1,1,1]
[9,7,5,3,10,8,6,4,1,2] => [1,1,1,2,1,1,1,2]
[9,7,5,3,10,8,6,1,4,2] => [1,1,1,2,1,1,2,1]
[9,7,5,3,10,8,1,6,4,2] => [1,1,1,2,1,2,1,1]
[9,7,5,3,10,1,8,6,4,2] => [1,1,1,2,2,1,1,1]
[5,6,7,8,10,9,4,3,2,1] => [5,1,1,1,1,1]
[6,5,7,8,9,10,4,3,2,1] => [1,5,1,1,1,1]
[4,5,6,7,8,10,9,3,2,1] => [6,1,1,1,1]
[5,4,6,7,8,9,10,3,2,1] => [1,6,1,1,1]
[3,4,5,6,7,9,10,8,1,2] => [7,1,2]
[3,4,5,6,8,9,10,7,1,2] => [7,1,2]
[3,4,6,7,8,9,10,5,1,2] => [7,1,2]
[3,5,6,7,8,9,10,4,1,2] => [7,1,2]
[3,4,5,6,7,10,1,8,9,2] => [6,3,1]
[3,4,5,6,9,1,10,8,7,2] => [5,2,1,1,1]
[3,4,5,8,1,9,10,7,6,2] => [4,3,1,1,1]
[3,4,7,1,8,9,10,5,6,2] => [3,4,2,1]
[3,6,1,7,8,9,10,5,4,2] => [2,5,1,1,1]
[5,1,6,7,8,9,10,4,3,2] => [1,6,1,1,1]
[1,3,4,5,6,7,8,2,9,10] => [7,3]
[1,2,3,4,5,10,6,9,8,7] => [6,2,1,1]
[1,2,3,4,10,5,6,9,7,8] => [5,3,2]
[1,2,3,4,10,5,6,9,8,7] => [5,3,1,1]
[1,2,3,4,10,5,9,8,7,6] => [5,2,1,1,1]
[1,2,3,10,4,5,6,9,8,7] => [4,4,1,1]
[1,2,3,10,4,5,9,6,7,8] => [4,3,3]
[1,2,3,10,4,5,9,8,7,6] => [4,3,1,1,1]
[1,2,3,10,4,9,5,8,7,6] => [4,2,2,1,1]
[1,2,3,10,4,9,8,7,6,5] => [4,2,1,1,1,1]
[1,2,10,3,4,9,5,6,8,7] => [3,3,3,1]
[1,2,10,3,4,9,5,8,6,7] => [3,3,2,2]
[1,2,10,3,4,9,5,8,7,6] => [3,3,2,1,1]
[1,2,10,3,4,9,8,7,6,5] => [3,3,1,1,1,1]
[1,2,10,3,9,4,8,7,6,5] => [3,2,2,1,1,1]
[1,2,10,3,9,8,7,6,5,4] => [3,2,1,1,1,1,1]
[1,10,2,9,3,8,4,7,6,5] => [2,2,2,2,1,1]
[1,10,2,9,3,8,7,6,5,4] => [2,2,2,1,1,1,1]
[1,10,2,9,8,7,6,5,4,3] => [2,2,1,1,1,1,1,1]
[10,1,9,2,3,4,5,6,7,8] => [1,2,7]
[9,1,8,2,10,3,4,5,6,7] => [1,2,2,5]
[10,1,9,2,8,3,7,4,5,6] => [1,2,2,2,3]
[9,1,8,2,7,3,10,4,5,6] => [1,2,2,2,3]
[8,1,7,2,10,3,9,4,5,6] => [1,2,2,2,3]
[8,1,7,2,9,3,10,4,5,6] => [1,2,2,2,3]
[9,1,8,2,7,3,6,4,10,5] => [1,2,2,2,2,1]
[8,1,7,2,6,3,10,4,9,5] => [1,2,2,2,2,1]
[8,1,7,2,6,3,9,4,10,5] => [1,2,2,2,2,1]
[7,1,6,2,9,3,8,4,10,5] => [1,2,2,2,2,1]
[7,1,6,2,8,3,9,4,10,5] => [1,2,2,2,2,1]
[8,1,7,6,5,2,10,3,9,4] => [1,2,1,1,2,2,1]
[8,1,7,6,5,2,9,3,10,4] => [1,2,1,1,2,2,1]
[7,6,5,1,10,2,9,3,8,4] => [1,1,1,2,2,2,1]
[7,6,5,1,8,2,9,3,10,4] => [1,1,1,2,2,2,1]
[5,6,8,1,7,2,10,3,9,4] => [3,2,2,2,1]
[5,6,8,1,7,2,9,3,10,4] => [3,2,2,2,1]
[6,5,7,1,8,2,9,3,10,4] => [1,2,2,2,2,1]
[9,4,5,6,8,1,7,2,10,3] => [1,4,2,2,1]
[8,4,5,6,7,1,10,2,9,3] => [1,4,2,2,1]
[8,4,5,6,7,1,9,2,10,3] => [1,4,2,2,1]
[7,4,5,6,8,1,9,2,10,3] => [1,4,2,2,1]
[7,4,6,5,9,1,8,2,10,3] => [1,2,2,2,2,1]
[7,4,6,5,8,1,9,2,10,3] => [1,2,2,2,2,1]
[6,4,7,5,8,1,9,2,10,3] => [1,2,2,2,2,1]
[6,5,7,4,8,1,9,2,10,3] => [1,2,2,2,2,1]
[5,6,8,3,7,4,9,1,10,2] => [3,2,2,2,1]
[6,5,7,3,8,4,9,1,10,2] => [1,2,2,2,2,1]
[6,5,7,4,8,3,9,1,10,2] => [1,2,2,2,2,1]
[6,10,5,1,2,3,4,7,8,9] => [2,1,7]
[10,5,4,1,2,3,6,7,8,9] => [1,1,1,7]
[10,9,3,4,5,6,8,7,2,1] => [1,1,5,1,1,1]
[10,9,4,3,5,6,7,8,2,1] => [1,1,1,5,1,1]
[10,3,4,5,6,7,9,8,2,1] => [1,6,1,1,1]
[10,4,3,5,6,7,8,9,2,1] => [1,1,6,1,1]
[1,7,5,6,8,4,9,3,10,2] => [2,3,2,2,1]
[1,2,3,4,5,8,6,9,7,10] => [6,2,2]
[1,2,3,4,5,9,6,10,7,8] => [6,2,2]
[9,1,2,8,4,5,10,7,3,6] => [1,3,3,1,2]
[9,1,8,3,4,2,10,7,5,6] => [1,2,2,2,1,2]
[8,1,7,3,4,10,6,2,5,9] => [1,2,3,1,3]
[8,1,2,3,10,5,9,7,6,4] => [1,4,2,1,1,1]
[8,1,2,10,4,5,9,7,3,6] => [1,3,3,1,2]
[7,1,2,10,4,9,6,5,3,8] => [1,3,2,1,1,2]
[8,1,10,3,4,2,9,7,5,6] => [1,2,2,2,1,2]
[7,1,10,3,4,9,6,2,5,8] => [1,2,3,1,3]
[10,1,2,9,4,5,8,7,3,6] => [1,3,3,1,2]
[10,1,2,9,4,8,6,5,3,7] => [1,3,2,1,1,2]
[10,1,9,3,4,2,8,7,5,6] => [1,2,2,2,1,2]
[10,1,9,3,4,8,6,2,5,7] => [1,2,3,1,3]
[9,1,8,3,4,7,6,2,5,10] => [1,2,3,1,3]
[8,1,2,3,10,9,6,5,7,4] => [1,4,1,1,2,1]
[8,1,2,10,4,9,6,3,7,5] => [1,3,2,1,2,1]
[7,1,2,10,9,5,4,6,3,8] => [1,3,1,1,2,2]
[8,1,10,3,2,9,6,4,7,5] => [1,2,1,2,1,2,1]
[7,1,10,3,9,5,2,6,4,8] => [1,2,2,1,2,2]
[10,1,2,3,9,8,6,5,7,4] => [1,4,1,1,2,1]
[10,1,2,9,4,8,6,3,7,5] => [1,3,2,1,2,1]
[10,1,2,9,8,5,4,6,3,7] => [1,3,1,1,2,2]
[9,1,2,8,7,5,4,6,3,10] => [1,3,1,1,2,2]
[10,1,9,3,2,8,6,4,7,5] => [1,2,1,2,1,2,1]
[10,1,9,3,8,5,2,6,4,7] => [1,2,2,1,2,2]
[9,1,8,3,7,5,2,6,4,10] => [1,2,2,1,2,2]
[10,1,9,8,4,3,5,2,6,7] => [1,2,1,1,2,3]
[9,1,8,7,4,3,5,2,6,10] => [1,2,1,1,2,3]
[8,10,2,1,3,9,6,4,7,5] => [2,1,3,1,2,1]
[7,10,2,1,9,5,3,6,4,8] => [2,1,2,1,2,2]
[10,9,2,1,3,8,6,4,7,5] => [1,1,1,3,1,2,1]
[10,9,2,1,8,5,3,6,4,7] => [1,1,1,2,1,2,2]
[9,8,2,1,7,5,3,6,4,10] => [1,1,1,2,1,2,2]
[10,9,2,8,4,1,5,3,6,7] => [1,1,2,1,2,3]
[10,8,7,6,5,4,3,9,2,1] => [1,1,1,1,1,1,2,1,1]
[10,9,7,6,5,4,8,3,2,1] => [1,1,1,1,1,2,1,1,1]
[6,4,2,1,3,5,8,7,10,9] => [1,1,1,4,2,1]
[8,6,4,2,1,3,5,7,10,9] => [1,1,1,1,5,1]
[9,8,6,4,2,1,3,5,7,10] => [1,1,1,1,1,5]
[7,6,4,2,1,3,5,9,8,10] => [1,1,1,1,4,2]
[5,4,2,1,3,7,6,9,8,10] => [1,1,1,3,2,2]
[9,8,7,4,6,5,3,2,1,10] => [1,1,1,2,1,1,1,2]
[10,9,8,4,6,7,5,3,2,1] => [1,1,1,3,1,1,1,1]
[6,5,7,8,9,1,2,3,4,10] => [1,4,5]
[1,7,6,8,9,10,2,3,4,5] => [2,4,4]
[2,3,4,5,6,7,1,10,9,8] => [6,2,1,1]
[2,3,4,5,6,1,7,10,9,8] => [5,3,1,1]
[2,3,4,6,1,5,7,10,8,9] => [4,4,2]
[2,3,4,1,5,6,7,10,9,8] => [3,5,1,1]
[2,3,1,4,5,6,7,10,9,8] => [2,6,1,1]
[3,1,2,4,5,6,7,10,8,9] => [1,7,2]
[2,3,4,5,6,8,10,1,7,9] => [7,3]
[3,4,5,6,8,1,9,10,7,2] => [5,3,1,1]
[3,4,5,7,1,8,2,10,9,6] => [4,2,2,1,1]
[2,3,5,1,6,4,7,10,8,9] => [3,2,3,2]
[3,5,1,6,2,4,7,10,9,8] => [2,2,4,1,1]
[4,1,5,2,3,6,7,10,9,8] => [1,2,5,1,1]
[1,3,2,4,5,6,7,10,8,9] => [2,6,2]
[1,2,6,3,4,5,7,8,9,10] => [3,7]
[1,4,5,2,3,6,7,8,9,10] => [3,7]
[1,4,2,7,3,5,6,8,9,10] => [2,2,6]
[1,5,4,6,2,3,7,8,9,10] => [2,2,6]
[1,4,2,3,9,5,6,7,8,10] => [2,3,5]
[1,2,4,7,8,3,5,6,9,10] => [5,5]
[1,5,4,2,8,3,6,7,9,10] => [2,1,2,5]
[1,3,7,5,6,2,4,8,9,10] => [3,2,5]
[1,6,5,4,7,2,3,8,9,10] => [2,1,2,5]
[1,2,4,7,3,10,5,6,8,9] => [4,2,4]
[1,5,4,2,3,10,6,7,8,9] => [2,1,3,4]
[1,2,9,3,4,8,5,6,7,10] => [3,3,4]
[1,6,5,4,2,9,3,7,8,10] => [2,1,1,2,4]
[1,3,7,8,5,6,2,4,9,10] => [4,2,4]
[1,7,6,5,4,8,2,3,9,10] => [2,1,1,2,4]
[1,3,2,10,6,4,9,5,7,8] => [2,2,1,2,3]
[1,2,4,9,5,8,10,3,6,7] => [4,3,3]
[1,3,7,2,8,9,10,4,5,6] => [3,4,3]
[1,7,6,5,4,2,10,3,8,9] => [2,1,1,1,2,3]
[1,3,9,4,8,6,7,2,5,10] => [3,2,2,3]
[1,3,8,7,9,5,6,2,4,10] => [3,2,2,3]
[1,8,7,6,5,4,9,2,3,10] => [2,1,1,1,2,3]
[1,3,5,10,8,9,6,7,2,4] => [4,2,2,2]
[1,3,9,8,7,10,5,6,2,4] => [3,1,2,2,2]
[1,9,8,7,6,5,4,10,2,3] => [2,1,1,1,1,2,2]
[1,2,3,4,5,6,7,8,9,11,10] => [10,1]
[2,1,3,4,5,6,7,8,9,10,11] => [1,10]
[11,1,2,3,4,5,6,7,8,9,10] => [1,10]
[10,1,2,3,4,5,6,7,8,11,9] => [1,9,1]
[11,1,2,3,4,5,6,7,10,8,9] => [1,8,2]
[11,1,2,3,4,5,6,10,7,8,9] => [1,7,3]
[10,1,2,3,4,5,11,6,7,8,9] => [1,6,4]
[11,1,2,3,4,10,5,6,7,8,9] => [1,5,5]
[11,1,2,3,10,4,5,6,7,8,9] => [1,4,6]
[10,1,2,11,3,4,5,6,7,8,9] => [1,3,7]
[11,1,10,2,3,4,5,6,7,8,9] => [1,2,8]
[11,10,1,2,3,4,5,6,7,8,9] => [1,1,9]
[10,9,8,7,6,5,4,3,2,1,11] => [1,1,1,1,1,1,1,1,1,2]
[1,11,10,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1,1,1]
[2,3,4,5,6,7,8,9,10,11,1] => [10,1]
[2,3,4,5,6,7,8,9,11,1,10] => [9,2]
[3,1,4,5,6,7,8,9,10,11,2] => [1,9,1]
[11,3,4,5,6,7,8,9,1,2,10] => [1,7,3]
[11,1,4,5,6,7,8,9,10,2,3] => [1,8,2]
[10,1,2,3,4,5,6,7,8,9,11] => [1,10]
[1,11,2,3,4,5,6,7,8,9,10] => [2,9]
[10,9,8,7,6,5,4,3,1,11,2] => [1,1,1,1,1,1,1,1,2,1]
[9,11,8,7,6,5,4,3,2,1,10] => [2,1,1,1,1,1,1,1,2]
[1,9,8,7,6,5,4,3,11,10,2] => [2,1,1,1,1,1,2,1,1]
[1,11,8,7,6,5,4,3,2,10,9] => [2,1,1,1,1,1,1,2,1]
[10,11,9,8,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1,1]
[11,10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,2]
[2,3,4,5,6,7,8,9,10,1,11] => [9,2]
[1,3,4,5,6,7,8,9,10,11,2] => [10,1]
[2,11,1,3,4,5,6,7,8,9,10] => [2,9]
[11,3,1,2,4,5,6,7,8,9,10] => [1,1,9]
[11,4,1,2,3,5,6,7,8,9,10] => [1,1,9]
[5,11,1,2,3,4,6,7,8,9,10] => [2,9]
[11,6,1,2,3,4,5,7,8,9,10] => [1,1,9]
[11,7,1,2,3,4,5,6,8,9,10] => [1,1,9]
[8,11,1,2,3,4,5,6,7,9,10] => [2,9]
[11,9,1,2,3,4,5,6,7,8,10] => [1,1,9]
[11,9,8,7,6,5,4,3,2,1,10] => [1,1,1,1,1,1,1,1,1,2]
[10,9,8,7,6,5,4,3,2,11,1] => [1,1,1,1,1,1,1,1,2,1]
[9,8,10,7,6,5,4,3,2,1,11] => [1,2,1,1,1,1,1,1,2]
[9,8,7,10,6,5,4,3,2,1,11] => [1,1,2,1,1,1,1,1,2]
[9,8,7,6,11,5,4,3,2,1,10] => [1,1,1,2,1,1,1,1,2]
[9,8,7,6,5,10,4,3,2,1,11] => [1,1,1,1,2,1,1,1,2]
[9,8,7,6,5,4,10,3,2,1,11] => [1,1,1,1,1,2,1,1,2]
[9,8,7,6,5,4,3,11,2,1,10] => [1,1,1,1,1,1,2,1,2]
[9,8,7,6,5,4,3,2,10,1,11] => [1,1,1,1,1,1,1,2,2]
[9,8,7,6,5,4,3,2,1,10,11] => [1,1,1,1,1,1,1,1,3]
[2,3,4,5,6,7,8,10,11,9,1] => [9,1,1]
[2,3,4,5,6,7,9,10,11,8,1] => [9,1,1]
[2,3,4,5,6,8,9,10,11,1,7] => [9,2]
[2,3,4,5,7,8,9,10,11,6,1] => [9,1,1]
[2,3,4,6,7,8,9,10,11,5,1] => [9,1,1]
[2,3,5,6,7,8,9,10,11,1,4] => [9,2]
[2,4,5,6,7,8,9,10,11,3,1] => [9,1,1]
[3,4,5,6,7,8,9,10,11,2,1] => [9,1,1]
[10,1,11,9,8,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1,1,1]
[2,11,10,9,8,7,6,5,4,1,3] => [2,1,1,1,1,1,1,1,2]
[10,2,1,9,8,7,6,5,4,3,11] => [1,1,2,1,1,1,1,1,2]
[3,2,10,9,8,7,6,5,4,1,11] => [1,2,1,1,1,1,1,1,2]
[9,10,2,3,4,5,6,7,8,11,1] => [2,8,1]
[2,10,11,3,4,5,6,7,8,9,1] => [3,7,1]
[2,11,10,9,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1,1,1,1]
[11,1,10,9,8,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1,1,1]
[1,11,10,9,8,7,6,5,2,4,3] => [2,1,1,1,1,1,1,2,1]
[1,11,10,9,8,7,6,2,5,4,3] => [2,1,1,1,1,1,2,1,1]
[2,11,10,9,8,7,1,6,5,4,3] => [2,1,1,1,1,2,1,1,1]
[1,11,10,9,8,2,7,6,5,4,3] => [2,1,1,1,2,1,1,1,1]
[1,11,10,9,2,8,7,6,5,4,3] => [2,1,1,2,1,1,1,1,1]
[2,11,10,1,9,8,7,6,5,4,3] => [2,1,2,1,1,1,1,1,1]
[1,11,2,10,9,8,7,6,5,4,3] => [2,2,1,1,1,1,1,1,1]
[1,2,11,10,9,8,7,6,5,4,3] => [3,1,1,1,1,1,1,1,1]
[6,7,8,9,10,1,2,3,4,5,11] => [5,6]
[1,7,8,9,10,11,2,3,4,5,6] => [6,5]
[2,4,1,5,6,7,8,9,10,11,3] => [2,8,1]
[2,3,4,5,6,7,8,10,1,11,9] => [8,2,1]
[2,3,5,1,6,7,8,9,10,11,4] => [3,7,1]
[2,3,4,5,6,7,9,1,10,11,8] => [7,3,1]
[2,3,4,6,1,7,8,9,10,11,5] => [4,6,1]
[2,3,4,5,6,8,1,9,10,11,7] => [6,4,1]
[2,3,4,5,7,1,8,9,10,11,6] => [5,5,1]
[10,2,3,4,5,6,7,8,9,1,11] => [1,8,2]
[1,11,3,4,5,6,7,8,9,10,2] => [2,8,1]
[1,2,3,4,6,8,5,7,10,9,11] => [6,3,2]
[1,2,3,4,7,5,8,6,10,9,11] => [5,2,2,2]
[11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1]
[2,1,11,10,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1,1]
[9,10,1,2,3,4,5,6,7,11,8] => [2,8,1]
[2,10,11,1,3,4,5,6,7,8,9] => [3,8]
[1,2,3,4,5,6,7,8,10,11,9] => [10,1]
[2,4,1,3,6,5,8,7,10,9,11] => [2,3,2,2,2]
[11,3,4,5,6,7,8,9,10,1,2] => [1,8,2]
[10,3,4,5,6,7,8,9,1,11,2] => [1,7,2,1]
[9,3,4,5,6,7,8,1,10,11,2] => [1,6,3,1]
[8,3,4,5,6,7,1,9,10,11,2] => [1,5,4,1]
[7,3,4,5,6,1,8,9,10,11,2] => [1,4,5,1]
[6,3,4,5,1,7,8,9,10,11,2] => [1,3,6,1]
[5,3,4,1,6,7,8,9,10,11,2] => [1,2,7,1]
[4,3,1,5,6,7,8,9,10,11,2] => [1,1,8,1]
[2,11,4,5,6,7,8,9,10,1,3] => [2,7,2]
[10,9,4,5,6,7,8,1,2,11,3] => [1,1,5,3,1]
[2,11,10,5,6,7,8,9,1,3,4] => [2,1,5,3]
[11,2,3,4,5,6,7,8,9,10,1] => [1,9,1]
[1,9,11,10,8,7,6,5,4,3,2] => [3,1,1,1,1,1,1,1,1]
[1,8,11,10,9,7,6,5,4,3,2] => [3,1,1,1,1,1,1,1,1]
[7,1,11,10,9,8,6,5,4,3,2] => [1,2,1,1,1,1,1,1,1,1]
[1,6,11,10,9,8,7,5,4,3,2] => [3,1,1,1,1,1,1,1,1]
[1,5,11,10,9,8,7,6,4,3,2] => [3,1,1,1,1,1,1,1,1]
[4,1,11,10,9,8,7,6,5,3,2] => [1,2,1,1,1,1,1,1,1,1]
[1,3,11,10,9,8,7,6,5,4,2] => [3,1,1,1,1,1,1,1,1]
[10,9,1,2,3,4,5,6,7,11,8] => [1,1,8,1]
[2,11,10,1,3,4,5,6,7,8,9] => [2,1,8]
[2,4,1,6,3,5,8,7,10,9,11] => [2,2,3,2,2]
[10,1,2,3,4,5,6,7,11,8,9] => [1,8,2]
[1,11,2,3,4,5,6,7,8,10,9] => [2,8,1]
[1,2,11,3,4,5,6,7,8,10,9] => [3,7,1]
[1,2,3,10,4,5,6,7,11,8,9] => [4,5,2]
[1,2,3,4,11,5,6,7,8,10,9] => [5,5,1]
[1,2,3,4,5,11,6,7,8,10,9] => [6,4,1]
[1,2,3,4,5,6,10,7,11,8,9] => [7,2,2]
[1,2,3,4,5,6,7,11,8,10,9] => [8,2,1]
[1,2,3,4,5,6,7,8,11,10,9] => [9,1,1]
[9,10,8,7,6,5,4,3,2,11,1] => [2,1,1,1,1,1,1,2,1]
[2,10,11,9,8,7,6,5,4,3,1] => [3,1,1,1,1,1,1,1,1]
[1,2,3,4,5,6,7,8,11,9,10] => [9,2]
[11,1,3,4,5,6,7,8,9,10,2] => [1,9,1]
[10,2,3,4,5,6,7,8,11,1,9] => [1,8,2]
[10,11,3,4,5,6,7,8,9,1,2] => [2,7,2]
[7,1,2,3,4,5,11,6,8,9,10] => [1,6,4]
[11,1,2,3,4,5,8,6,7,9,10] => [1,6,4]
[11,1,2,3,4,5,9,6,7,8,10] => [1,6,4]
[11,10,5,1,2,3,4,6,7,8,9] => [1,1,1,8]
[11,10,1,5,2,3,4,6,7,8,9] => [1,1,2,7]
[5,11,1,2,10,3,4,6,7,8,9] => [2,3,6]
[5,11,1,2,3,10,4,6,7,8,9] => [2,4,5]
[2,3,4,5,6,7,8,10,11,1,9] => [9,2]
[2,3,4,5,6,7,9,10,11,1,8] => [9,2]
[2,3,4,5,7,8,9,10,11,1,6] => [9,2]
[2,3,4,6,7,8,9,10,11,1,5] => [9,2]
[2,4,5,6,7,8,9,10,11,1,3] => [9,2]
[3,4,5,6,7,8,9,10,11,1,2] => [9,2]
[10,9,8,7,5,6,4,3,2,11,1] => [1,1,1,1,2,1,1,2,1]
[2,11,10,9,8,6,7,5,4,3,1] => [2,1,1,1,2,1,1,1,1]
[9,8,7,6,5,4,3,1,11,2,10] => [1,1,1,1,1,1,1,2,2]
[10,9,8,7,6,5,4,1,2,11,3] => [1,1,1,1,1,1,1,3,1]
[9,6,10,4,7,2,5,11,1,3,8] => [1,2,2,3,3]
[8,6,9,4,7,2,5,1,3,10,11] => [1,2,2,2,4]
[9,6,3,10,11,2,7,8,1,4,5] => [1,1,3,3,3]
[8,5,3,9,2,6,10,1,4,7,11] => [1,1,2,3,4]
[7,5,3,8,2,6,1,4,9,10,11] => [1,1,2,2,5]
[8,4,3,2,9,10,11,1,5,6,7] => [1,1,1,4,4]
[7,4,3,2,8,9,1,5,6,10,11] => [1,1,1,3,5]
[9,10,6,7,11,3,4,8,1,2,5] => [2,3,3,3]
[8,9,5,6,3,4,10,1,2,7,11] => [2,2,3,4]
[7,8,5,6,3,4,1,2,9,10,11] => [2,2,2,5]
[8,5,9,10,2,6,7,1,3,4,11] => [1,3,3,4]
[8,4,9,2,5,10,11,1,3,6,7] => [1,2,4,4]
[7,4,8,2,5,9,1,3,6,10,11] => [1,2,3,5]
[7,3,2,8,9,10,1,4,5,6,11] => [1,1,4,5]
[8,9,10,4,5,6,11,1,2,3,7] => [3,4,4]
[7,8,9,4,5,6,1,2,3,10,11] => [3,3,5]
[7,8,3,4,9,10,1,2,5,6,11] => [2,4,5]
[11,9,1,2,3,4,5,6,10,7,8] => [1,1,7,2]
[11,10,1,2,3,4,5,9,6,7,8] => [1,1,6,3]
[11,10,1,2,3,4,9,5,6,7,8] => [1,1,5,4]
[9,10,1,2,3,11,4,5,6,7,8] => [2,4,5]
[9,11,1,2,10,3,4,5,6,7,8] => [2,3,6]
[10,11,1,9,2,3,4,5,6,7,8] => [2,2,7]
[10,11,9,1,2,3,4,5,6,7,8] => [2,1,8]
[2,11,1,5,6,7,8,9,10,3,4] => [2,7,2]
[1,11,10,2,3,4,5,6,7,8,9] => [2,1,8]
[1,10,2,3,4,5,6,7,8,9,11] => [2,9]
[1,3,4,5,6,7,8,9,10,2,11] => [9,2]
[1,2,3,4,5,6,7,8,9,10,11] => [11]
[11,1,2,3,4,5,6,7,8,10,9] => [1,9,1]
[10,1,2,3,4,5,6,7,11,9,8] => [1,8,1,1]
[10,1,2,3,4,5,6,11,8,9,7] => [1,7,2,1]
[11,1,2,3,4,5,10,7,8,9,6] => [1,6,3,1]
[10,1,2,3,4,11,6,7,8,9,5] => [1,5,4,1]
[10,1,2,3,11,5,6,7,8,9,4] => [1,4,5,1]
[11,1,2,10,4,5,6,7,8,9,3] => [1,3,6,1]
[10,1,11,3,4,5,6,7,8,9,2] => [1,2,7,1]
[10,11,2,3,4,5,6,7,8,9,1] => [2,8,1]
[11,9,10,6,7,8,1,2,3,4,5] => [1,2,3,5]
[10,11,6,7,8,9,1,2,3,4,5] => [2,4,5]
[11,9,10,5,6,7,8,1,2,3,4] => [1,2,4,4]
[9,10,11,5,6,7,8,1,2,3,4] => [3,4,4]
[11,8,9,10,5,6,7,1,2,3,4] => [1,3,3,4]
[10,11,7,8,9,4,5,6,1,2,3] => [2,3,3,3]
[10,11,8,9,5,6,7,1,2,3,4] => [2,2,3,4]
[11,9,10,7,8,4,5,6,1,2,3] => [1,2,2,3,3]
[11,10,8,9,5,6,7,1,2,3,4] => [1,1,2,3,4]
[10,1,11,2,3,4,5,6,7,8,9] => [1,2,8]
[10,11,1,2,3,4,5,6,7,8,9] => [2,9]
[3,1,4,2,6,5,8,7,10,9,11] => [1,2,2,2,2,2]
[1,2,3,4,5,6,7,8,10,9,11] => [9,2]
[2,1,3,4,5,6,7,8,9,11,10] => [1,9,1]
[11,2,3,4,5,6,7,8,9,1,10] => [1,8,2]
[3,11,1,4,5,6,7,8,9,10,2] => [2,8,1]
[9,1,11,3,4,5,6,7,8,2,10] => [1,2,6,2]
[11,10,2,1,3,4,5,6,7,8,9] => [1,1,1,8]
[2,3,4,5,6,7,8,9,11,10,1] => [9,1,1]
[2,3,4,5,6,8,9,10,11,7,1] => [9,1,1]
[2,3,5,6,7,8,9,10,11,4,1] => [9,1,1]
[1,3,2,4,5,6,7,8,9,10,11] => [2,9]
[3,1,11,5,6,7,8,9,10,2,4] => [1,2,6,2]
[2,3,4,5,6,7,8,11,9,10,1] => [8,2,1]
[2,3,4,5,6,7,11,8,9,10,1] => [7,3,1]
[2,3,4,5,6,11,7,8,9,10,1] => [6,4,1]
[2,3,4,5,11,6,7,8,9,10,1] => [5,5,1]
[2,3,4,11,5,6,7,8,9,10,1] => [4,6,1]
[2,3,11,4,5,6,7,8,9,10,1] => [3,7,1]
[2,11,3,4,5,6,7,8,9,10,1] => [2,8,1]
[3,1,2,4,5,6,7,8,9,10,11] => [1,10]
[3,4,5,6,7,8,9,10,1,2,11] => [8,3]
[3,4,5,6,7,8,9,11,1,2,10] => [8,3]
[3,4,5,6,7,8,10,11,1,2,9] => [8,3]
[3,4,5,6,7,9,10,11,1,2,8] => [8,3]
[3,4,5,6,8,9,10,11,1,2,7] => [8,3]
[3,4,5,7,8,9,10,11,1,2,6] => [8,3]
[3,4,6,7,8,9,10,11,1,2,5] => [8,3]
[3,5,6,7,8,9,10,11,1,2,4] => [8,3]
[4,5,6,7,8,9,10,11,1,2,3] => [8,3]
[11,1,10,5,6,7,8,9,2,3,4] => [1,2,5,3]
[10,1,11,9,6,7,8,2,3,4,5] => [1,2,1,3,4]
[9,1,10,11,8,7,2,3,4,5,6] => [1,3,1,1,5]
[8,1,9,10,11,2,3,4,5,6,7] => [1,4,6]
[11,1,10,9,2,3,4,5,6,7,8] => [1,2,1,7]
[11,2,3,4,5,6,7,8,10,9,1] => [1,8,1,1]
[11,2,3,4,5,6,7,10,9,8,1] => [1,7,1,1,1]
[11,2,3,4,5,6,10,8,9,7,1] => [1,6,2,1,1]
[11,2,3,4,5,10,7,8,9,6,1] => [1,5,3,1,1]
[11,2,3,4,10,6,7,8,9,5,1] => [1,4,4,1,1]
[11,2,3,10,5,6,7,8,9,4,1] => [1,3,5,1,1]
[11,2,10,4,5,6,7,8,9,3,1] => [1,2,6,1,1]
[11,10,3,4,5,6,7,8,9,2,1] => [1,1,7,1,1]
[9,8,7,6,5,4,3,2,1,11,10] => [1,1,1,1,1,1,1,1,2,1]
[2,3,4,5,6,7,10,9,11,8,1] => [7,2,1,1]
[2,3,4,5,6,10,8,9,11,7,1] => [6,3,1,1]
[2,3,4,5,10,7,8,9,11,1,6] => [5,4,2]
[2,3,4,10,6,7,8,9,11,5,1] => [4,5,1,1]
[2,3,10,5,6,7,8,9,11,4,1] => [3,6,1,1]
[2,10,4,5,6,7,8,9,11,1,3] => [2,7,2]
[10,3,4,5,6,7,8,9,11,2,1] => [1,8,1,1]
[1,3,2,5,4,7,6,9,8,11,10] => [2,2,2,2,2,1]
[1,3,5,2,4,7,6,9,8,11,10] => [3,3,2,2,1]
[1,3,5,2,7,4,6,9,8,11,10] => [3,2,3,2,1]
[1,3,5,2,7,4,9,6,8,11,10] => [3,2,2,3,1]
[1,3,5,2,7,4,9,6,11,8,10] => [3,2,2,2,2]
[1,3,5,2,7,4,9,6,10,8,11] => [3,2,2,2,2]
[1,3,5,2,7,4,8,6,10,9,11] => [3,2,2,2,2]
[1,3,5,2,6,4,8,7,10,9,11] => [3,2,2,2,2]
[1,3,4,2,6,5,8,7,10,9,11] => [3,2,2,2,2]
[1,2,4,3,6,5,8,7,10,9,11] => [3,2,2,2,2]
[10,9,11,8,7,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1,1]
[3,4,5,6,7,8,9,10,1,11,2] => [8,2,1]
[4,2,5,6,7,8,9,10,11,1,3] => [1,8,2]
[1,5,6,7,8,9,10,11,3,4,2] => [8,2,1]
[1,3,6,7,8,9,10,11,2,5,4] => [8,2,1]
[6,5,7,4,8,3,9,2,10,1,11] => [1,2,2,2,2,2]
[1,7,6,8,5,9,4,10,3,11,2] => [2,2,2,2,2,1]
[3,1,11,10,9,8,7,6,5,4,2] => [1,2,1,1,1,1,1,1,1,1]
[11,3,10,9,8,7,6,5,1,4,2] => [1,2,1,1,1,1,1,2,1]
[1,10,2,9,3,8,4,7,5,6,11] => [2,2,2,2,3]
[1,2,11,3,10,4,9,5,8,6,7] => [3,2,2,2,2]
[10,3,4,5,6,7,8,1,2,11,9] => [1,6,3,1]
[2,3,4,5,6,7,8,11,10,1,9] => [8,1,2]
[11,3,4,5,6,7,8,10,1,2,9] => [1,7,3]
[11,4,1,5,6,7,8,9,10,2,3] => [1,1,7,2]
[2,11,4,5,6,7,8,10,1,3,9] => [2,6,3]
[11,3,4,5,6,7,8,1,10,2,9] => [1,6,2,2]
[11,3,1,5,6,7,8,9,10,2,4] => [1,1,7,2]
[10,4,1,5,6,7,8,9,2,11,3] => [1,1,6,2,1]
[3,2,4,5,6,7,8,9,10,11,1] => [1,9,1]
[8,1,2,3,4,5,6,10,7,11,9] => [1,7,2,1]
[6,1,2,3,4,8,5,10,7,11,9] => [1,5,2,2,1]
[4,1,2,6,3,8,5,10,7,11,9] => [1,3,2,2,2,1]
[2,4,1,6,3,8,5,10,7,11,9] => [2,2,2,2,2,1]
[3,4,5,6,7,8,1,9,2,11,10] => [6,2,2,1]
[1,4,5,6,7,11,8,9,2,10,3] => [6,2,2,1]
[3,11,1,2,4,5,6,7,8,9,10] => [2,9]
[8,9,10,7,6,1,2,3,4,11,5] => [3,1,1,5,1]
[2,9,10,11,8,7,1,3,4,5,6] => [4,1,1,5]
[7,8,9,10,1,2,3,4,5,11,6] => [4,6,1]
[2,8,9,10,11,1,3,4,5,6,7] => [5,6]
[2,3,4,5,6,7,8,11,1,9,10] => [8,3]
[2,3,4,5,6,7,11,1,8,9,10] => [7,4]
[2,3,4,5,6,11,1,7,8,9,10] => [6,5]
[2,3,4,5,11,1,6,7,8,9,10] => [5,6]
[2,3,4,11,1,5,6,7,8,9,10] => [4,7]
[2,3,11,1,4,5,6,7,8,9,10] => [3,8]
[9,3,4,5,6,7,8,1,11,2,10] => [1,6,2,2]
[11,9,4,5,6,7,8,1,10,2,3] => [1,1,5,2,2]
[3,1,4,5,6,7,8,9,11,2,10] => [1,8,2]
[2,3,4,5,6,9,7,10,8,11,1] => [6,2,2,1]
[3,4,5,6,7,10,8,11,2,9,1] => [6,2,2,1]
[2,11,1,3,4,5,6,7,10,8,9] => [2,7,2]
[2,10,1,3,4,5,6,7,8,11,9] => [2,8,1]
[11,2,1,3,4,5,6,7,8,9,10] => [1,1,9]
[11,10,2,3,4,5,6,7,8,9,1] => [1,1,8,1]
[11,3,4,5,6,7,8,9,10,2,1] => [1,8,1,1]
[9,11,1,2,3,4,5,6,7,8,10] => [2,9]
[11,10,9,8,6,7,5,4,3,2,1] => [1,1,1,1,2,1,1,1,1,1]
[10,1,2,3,4,11,5,6,7,8,9] => [1,5,5]
[1,10,11,9,8,7,6,5,4,3,2] => [3,1,1,1,1,1,1,1,1]
[1,11,9,10,8,7,6,5,4,3,2] => [2,2,1,1,1,1,1,1,1]
[1,11,9,7,6,5,4,3,2,8,10] => [2,1,1,1,1,1,1,3]
[1,10,8,6,5,4,3,2,7,11,9] => [2,1,1,1,1,1,3,1]
[1,11,9,7,5,4,3,2,6,10,8] => [2,1,1,1,1,1,3,1]
[1,11,9,7,5,10,8,6,4,3,2] => [2,1,1,2,1,1,1,1,1]
[1,10,8,6,4,11,9,7,5,3,2] => [2,1,1,2,1,1,1,1,1]
[1,11,9,7,5,3,10,8,6,4,2] => [2,1,1,1,2,1,1,1,1]
[1,11,9,7,5,3,2,10,8,6,4] => [2,1,1,1,1,2,1,1,1]
[4,1,2,5,6,7,8,9,10,11,3] => [1,9,1]
[11,1,2,3,4,5,6,10,8,7,9] => [1,7,1,2]
[11,1,2,3,4,5,10,7,8,6,9] => [1,6,2,2]
[10,1,2,3,4,11,6,7,8,5,9] => [1,5,3,2]
[11,1,2,3,10,5,6,7,8,4,9] => [1,4,4,2]
[11,1,2,10,4,5,6,7,8,3,9] => [1,3,5,2]
[10,1,11,3,4,5,6,7,8,2,9] => [1,2,6,2]
[11,10,2,3,4,5,6,7,8,1,9] => [1,1,7,2]
[10,11,4,5,6,7,8,1,2,3,9] => [2,5,4]
[10,11,1,5,6,7,8,9,2,3,4] => [2,6,3]
[11,10,2,1,4,5,6,7,8,9,3] => [1,1,1,7,1]
[11,1,9,2,7,3,8,4,10,5,6] => [1,2,2,2,2,2]
[11,1,10,2,6,3,8,9,4,5,7] => [1,2,2,3,3]
[9,1,5,2,11,8,3,4,10,6,7] => [1,2,2,1,3,2]
[11,1,10,2,6,7,3,9,4,5,8] => [1,2,3,2,3]
[10,1,5,2,11,7,9,3,4,6,8] => [1,2,2,2,4]
[11,1,4,9,2,3,8,5,10,6,7] => [1,3,3,2,2]
[7,1,4,11,2,3,10,9,5,6,8] => [1,3,3,1,3]
[9,1,6,5,2,11,3,4,10,7,8] => [1,2,1,2,3,2]
[11,1,4,9,6,2,3,5,10,7,8] => [1,3,1,4,2]
[8,1,11,6,2,7,3,10,4,5,9] => [1,2,1,2,2,3]
[11,1,10,5,2,7,8,3,4,6,9] => [1,2,1,3,4]
[8,1,4,11,7,2,3,10,5,6,9] => [1,3,1,3,3]
[11,1,10,5,6,2,8,3,4,7,9] => [1,2,2,2,4]
[11,1,4,10,6,8,2,3,5,7,9] => [1,3,2,5]
[9,3,1,2,11,4,8,5,10,6,7] => [1,1,3,2,2,2]
[11,3,1,2,7,4,10,9,5,6,8] => [1,1,3,2,1,3]
[9,3,1,2,6,11,4,5,10,7,8] => [1,1,4,3,2]
[11,3,1,2,8,7,4,10,5,6,9] => [1,1,3,1,2,3]
[10,3,1,2,6,11,8,4,5,7,9] => [1,1,4,1,4]
[11,4,1,5,2,3,9,6,10,7,8] => [1,1,2,3,2,2]
[11,4,1,5,2,3,8,10,6,7,9] => [1,1,2,4,3]
[11,3,5,1,2,4,9,6,10,7,8] => [1,2,4,2,2]
[11,3,5,1,2,4,8,10,6,7,9] => [1,2,5,3]
[6,11,1,5,2,7,3,4,10,8,9] => [2,2,2,3,2]
[11,4,1,7,6,2,3,5,10,8,9] => [1,1,2,1,4,2]
[6,3,11,1,2,7,4,5,10,8,9] => [1,2,3,3,2]
[11,5,4,1,7,2,3,6,10,8,9] => [1,1,1,2,4,2]
[7,3,11,5,1,2,4,6,10,8,9] => [1,2,1,5,2]
[11,8,1,6,2,7,3,9,4,5,10] => [1,1,2,2,2,3]
[11,9,1,5,2,7,8,3,4,6,10] => [1,1,2,3,4]
[8,4,1,11,7,2,3,9,5,6,10] => [1,1,2,1,3,3]
[11,9,1,5,6,2,8,3,4,7,10] => [1,1,3,2,4]
[9,4,1,11,6,8,2,3,5,7,10] => [1,1,2,2,5]
[11,3,8,1,2,7,4,9,5,6,10] => [1,2,3,2,3]
[6,3,11,1,2,9,8,4,5,7,10] => [1,2,3,1,4]
[8,5,4,1,11,2,3,9,6,7,10] => [1,1,1,2,3,3]
[11,3,8,5,1,2,4,9,6,7,10] => [1,2,1,4,3]
[7,11,5,1,6,2,9,3,4,8,10] => [2,1,2,2,4]
[11,9,4,1,6,7,2,3,5,8,10] => [1,1,1,3,5]
[7,3,11,6,1,2,9,4,5,8,10] => [1,2,1,3,4]
[11,9,4,5,1,7,2,3,6,8,10] => [1,1,2,2,5]
[11,3,9,5,7,1,2,4,6,8,10] => [1,2,2,6]
[10,11,8,1,2,3,4,5,6,7,9] => [2,1,8]
[9,11,10,8,7,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1,1]
[4,3,1,6,2,8,5,10,7,11,9] => [1,1,2,2,2,2,1]
[6,3,1,5,2,8,4,10,7,11,9] => [1,1,2,2,2,2,1]
[8,3,1,5,2,7,4,10,6,11,9] => [1,1,2,2,2,2,1]
[10,3,1,5,2,7,4,9,6,11,8] => [1,1,2,2,2,2,1]
[11,3,1,5,2,7,4,9,6,8,10] => [1,1,2,2,2,3]
[9,3,1,5,2,7,4,6,11,8,10] => [1,1,2,2,3,2]
[7,3,1,5,2,4,9,6,11,8,10] => [1,1,2,3,2,2]
[5,3,1,2,7,4,9,6,11,8,10] => [1,1,3,2,2,2]
[3,1,5,2,7,4,9,6,11,8,10] => [1,2,2,2,2,2]
[2,1,11,3,4,5,6,7,8,9,10] => [1,2,8]
[11,10,9,8,5,7,6,4,3,2,1] => [1,1,1,1,2,1,1,1,1,1]
[11,10,9,8,6,5,7,4,3,2,1] => [1,1,1,1,1,2,1,1,1,1]
[10,1,2,3,4,5,6,11,7,8,9] => [1,7,3]
[10,1,2,3,11,4,5,6,7,8,9] => [1,4,6]
[1,10,2,3,4,5,6,7,8,11,9] => [2,8,1]
[2,1,11,3,4,5,6,7,8,10,9] => [1,2,7,1]
[11,10,8,9,5,6,3,1,2,4,7] => [1,1,2,2,1,4]
[11,9,10,6,7,4,2,3,5,8,1] => [1,2,2,1,4,1]
[1,3,4,5,6,7,8,9,2,11,10] => [8,2,1]
[1,3,4,5,6,7,8,2,10,11,9] => [7,3,1]
[11,2,3,4,5,6,1,8,9,10,7] => [1,5,4,1]
[1,3,4,5,6,2,8,9,10,11,7] => [5,5,1]
[1,3,4,5,2,7,8,9,10,11,6] => [4,6,1]
[11,2,3,1,5,6,7,8,9,10,4] => [1,2,7,1]
[1,3,2,5,6,7,8,9,10,11,4] => [2,8,1]
[1,2,4,5,6,7,8,9,10,11,3] => [10,1]
[8,9,1,2,3,4,5,6,10,11,7] => [2,8,1]
[11,7,1,2,3,4,5,9,10,6,8] => [1,1,7,2]
[11,6,1,2,3,4,10,9,5,7,8] => [1,1,5,1,3]
[5,10,1,2,3,11,9,4,6,7,8] => [2,4,1,4]
[9,4,1,2,10,11,3,5,6,7,8] => [1,1,4,5]
[11,3,1,9,10,2,4,5,6,7,8] => [1,1,3,6]
[2,11,10,9,1,3,4,5,6,7,8] => [2,1,1,7]
[11,10,1,9,8,7,6,5,4,3,2] => [1,1,2,1,1,1,1,1,1,1]
[1,10,9,8,7,6,5,4,3,2,11] => [2,1,1,1,1,1,1,1,2]
[2,3,4,5,6,7,8,9,1,11,10] => [8,2,1]
[3,4,1,5,6,7,8,9,10,11,2] => [2,8,1]
[1,3,4,5,6,7,8,9,11,2,10] => [9,2]
[1,4,2,5,6,7,8,9,11,10,3] => [2,7,1,1]
[1,2,10,3,4,5,6,7,8,11,9] => [3,7,1]
[1,2,3,4,5,10,6,7,8,11,9] => [6,4,1]
[10,9,8,7,6,5,4,2,1,3,11] => [1,1,1,1,1,1,1,1,3]
[10,9,8,7,6,5,3,2,1,4,11] => [1,1,1,1,1,1,1,1,3]
[10,9,8,7,6,4,3,2,1,11,5] => [1,1,1,1,1,1,1,1,2,1]
[10,9,8,7,5,4,3,2,1,6,11] => [1,1,1,1,1,1,1,1,3]
[10,9,8,6,5,4,3,2,1,7,11] => [1,1,1,1,1,1,1,1,3]
[10,9,7,6,5,4,3,2,1,11,8] => [1,1,1,1,1,1,1,1,2,1]
[10,8,7,6,5,4,3,2,1,9,11] => [1,1,1,1,1,1,1,1,3]
[11,9,8,1,2,3,4,5,6,7,10] => [1,1,1,8]
[9,1,2,3,4,5,6,7,8,11,10] => [1,9,1]
[11,3,1,4,5,6,7,8,9,10,2] => [1,1,8,1]
[10,11,1,2,4,5,6,7,8,9,3] => [2,8,1]
[9,10,11,2,3,4,5,6,7,8,1] => [3,7,1]
[8,9,10,11,2,3,4,5,6,1,7] => [4,5,2]
[7,8,9,10,11,2,3,4,5,6,1] => [5,5,1]
[6,7,8,9,10,11,2,3,4,5,1] => [6,4,1]
[5,6,7,8,9,10,11,2,3,1,4] => [7,2,2]
[4,5,6,7,8,9,10,11,2,3,1] => [8,2,1]
[3,11,4,5,6,7,8,9,2,1,10] => [2,6,1,2]
[4,1,11,5,6,7,8,9,10,3,2] => [1,2,6,1,1]
[1,3,2,5,6,4,8,11,10,9,7] => [2,3,3,1,1,1]
[2,4,3,6,7,5,9,11,10,8,1] => [2,3,3,1,1,1]
[11,9,10,7,8,5,6,1,2,3,4] => [1,2,2,2,4]
[11,10,7,8,9,4,5,6,1,2,3] => [1,1,3,3,3]
[11,10,8,9,6,7,1,2,3,4,5] => [1,1,2,2,5]
[11,10,9,5,6,7,8,1,2,3,4] => [1,1,1,4,4]
[11,10,9,6,7,8,1,2,3,4,5] => [1,1,1,3,5]
[10,11,8,9,6,7,1,2,3,4,5] => [2,2,2,5]
[11,10,6,7,8,9,1,2,3,4,5] => [1,1,4,5]
[9,10,11,6,7,8,1,2,3,4,5] => [3,3,5]
[11,9,10,8,7,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1,1]
[10,8,11,9,7,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1,1]
[10,8,6,5,4,3,2,1,11,9,7] => [1,1,1,1,1,1,1,2,1,1]
[10,8,6,11,9,7,5,4,3,2,1] => [1,1,2,1,1,1,1,1,1,1]
[11,9,7,5,10,8,6,4,3,2,1] => [1,1,1,2,1,1,1,1,1,1]
[11,9,7,5,3,2,1,10,8,6,4] => [1,1,1,1,1,1,2,1,1,1]
[11,9,7,5,3,10,8,6,4,2,1] => [1,1,1,1,2,1,1,1,1,1]
[10,8,6,4,2,11,9,7,5,3,1] => [1,1,1,1,2,1,1,1,1,1]
[5,6,7,8,9,11,1,2,3,4,10] => [6,5]
[6,1,7,8,9,10,11,2,3,4,5] => [1,6,4]
[2,1,4,5,6,7,8,9,10,11,3] => [1,9,1]
[3,4,5,6,7,8,9,11,1,10,2] => [8,2,1]
[3,4,5,6,7,8,10,11,1,9,2] => [8,2,1]
[3,4,5,6,8,9,10,11,1,7,2] => [8,2,1]
[3,4,5,7,8,9,10,11,1,6,2] => [8,2,1]
[3,5,6,7,8,9,10,11,1,4,2] => [8,2,1]
[4,5,6,7,8,9,10,11,1,3,2] => [8,2,1]
[11,10,9,4,5,6,7,8,3,2,1] => [1,1,1,5,1,1,1]
[11,2,10,9,5,6,7,8,4,3,1] => [1,2,1,4,1,1,1]
[10,2,3,4,5,6,7,8,9,11,1] => [1,9,1]
[2,10,4,5,6,7,8,9,1,11,3] => [2,6,2,1]
[4,3,11,5,6,7,8,9,10,2,1] => [1,2,6,1,1]
[8,11,1,2,3,4,5,9,10,6,7] => [2,7,2]
[10,11,1,2,3,4,8,9,5,6,7] => [2,6,3]
[10,11,1,2,3,9,8,4,5,6,7] => [2,4,1,4]
[10,9,1,2,11,8,3,4,5,6,7] => [1,1,3,1,5]
[9,8,1,10,11,2,3,4,5,6,7] => [1,1,3,6]
[11,8,9,10,1,2,3,4,5,6,7] => [1,3,7]
[2,3,4,5,6,7,11,9,10,1,8] => [7,2,2]
[2,3,4,5,6,11,8,9,10,1,7] => [6,3,2]
[2,3,4,5,11,7,8,9,10,1,6] => [5,4,2]
[2,3,4,11,6,7,8,9,10,1,5] => [4,5,2]
[2,3,11,5,6,7,8,9,10,1,4] => [3,6,2]
[5,6,7,8,9,11,10,4,3,2,1] => [6,1,1,1,1,1]
[6,5,7,8,9,10,11,4,3,2,1] => [1,6,1,1,1,1]
[3,4,5,6,7,8,10,11,9,1,2] => [8,1,2]
[3,4,5,6,7,9,10,11,8,1,2] => [8,1,2]
[3,4,5,7,8,9,10,11,6,1,2] => [8,1,2]
[3,4,6,7,8,9,10,11,5,1,2] => [8,1,2]
[4,5,6,7,8,9,10,11,3,1,2] => [8,1,2]
[4,5,6,7,8,9,10,11,2,1,3] => [8,1,2]
[11,10,3,4,5,6,7,9,8,2,1] => [1,1,6,1,1,1]
[11,10,4,3,5,6,7,8,9,2,1] => [1,1,1,6,1,1]
[2,3,4,5,6,7,8,1,11,10,9] => [7,2,1,1]
[2,3,4,5,6,7,1,8,11,10,9] => [6,3,1,1]
[2,3,4,5,7,1,6,8,11,9,10] => [5,4,2]
[2,3,4,5,1,6,7,8,11,10,9] => [4,5,1,1]
[2,3,4,1,5,6,7,8,11,10,9] => [3,6,1,1]
[2,4,1,3,5,6,7,8,11,9,10] => [2,7,2]
[2,1,3,4,5,6,7,8,11,10,9] => [1,8,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[2,1,4,3,6,5,8,7,12,11,10,9] => [1,2,2,2,2,1,1,1]
[2,1,4,3,6,5,10,9,8,7,12,11] => [1,2,2,2,1,1,2,1]
[2,1,4,3,6,5,12,9,8,11,10,7] => [1,2,2,2,1,2,1,1]
[2,1,4,3,6,5,12,11,10,9,8,7] => [1,2,2,2,1,1,1,1,1]
[2,1,4,3,8,7,6,5,10,9,12,11] => [1,2,2,1,1,2,2,1]
[2,1,4,3,8,7,6,5,12,11,10,9] => [1,2,2,1,1,2,1,1,1]
[2,1,4,3,10,7,6,9,8,5,12,11] => [1,2,2,1,2,1,2,1]
[2,1,4,3,12,7,6,9,8,11,10,5] => [1,2,2,1,2,2,1,1]
[2,1,4,3,12,7,6,11,10,9,8,5] => [1,2,2,1,2,1,1,1,1]
[2,1,4,3,10,9,8,7,6,5,12,11] => [1,2,2,1,1,1,1,2,1]
[2,1,4,3,12,9,8,7,6,11,10,5] => [1,2,2,1,1,1,2,1,1]
[2,1,4,3,12,11,8,7,10,9,6,5] => [1,2,2,1,1,2,1,1,1]
[2,1,4,3,12,11,10,9,8,7,6,5] => [1,2,2,1,1,1,1,1,1,1]
[2,1,6,5,4,3,8,7,10,9,12,11] => [1,2,1,1,2,2,2,1]
[2,1,6,5,4,3,8,7,12,11,10,9] => [1,2,1,1,2,2,1,1,1]
[2,1,6,5,4,3,10,9,8,7,12,11] => [1,2,1,1,2,1,1,2,1]
[2,1,6,5,4,3,12,9,8,11,10,7] => [1,2,1,1,2,1,2,1,1]
[2,1,6,5,4,3,12,11,10,9,8,7] => [1,2,1,1,2,1,1,1,1,1]
[2,1,8,5,4,7,6,3,10,9,12,11] => [1,2,1,2,1,2,2,1]
[2,1,8,5,4,7,6,3,12,11,10,9] => [1,2,1,2,1,2,1,1,1]
[2,1,10,5,4,7,6,9,8,3,12,11] => [1,2,1,2,2,1,2,1]
[2,1,12,5,4,7,6,9,8,11,10,3] => [1,2,1,2,2,2,1,1]
[2,1,12,5,4,7,6,11,10,9,8,3] => [1,2,1,2,2,1,1,1,1]
[2,1,10,5,4,9,8,7,6,3,12,11] => [1,2,1,2,1,1,1,2,1]
[2,1,12,5,4,9,8,7,6,11,10,3] => [1,2,1,2,1,1,2,1,1]
[2,1,12,5,4,11,8,7,10,9,6,3] => [1,2,1,2,1,2,1,1,1]
[2,1,12,5,4,11,10,9,8,7,6,3] => [1,2,1,2,1,1,1,1,1,1]
[2,1,8,7,6,5,4,3,10,9,12,11] => [1,2,1,1,1,1,2,2,1]
[2,1,8,7,6,5,4,3,12,11,10,9] => [1,2,1,1,1,1,2,1,1,1]
[2,1,10,7,6,5,4,9,8,3,12,11] => [1,2,1,1,1,2,1,2,1]
[2,1,12,7,6,5,4,9,8,11,10,3] => [1,2,1,1,1,2,2,1,1]
[2,1,12,7,6,5,4,11,10,9,8,3] => [1,2,1,1,1,2,1,1,1,1]
[2,1,10,9,6,5,8,7,4,3,12,11] => [1,2,1,1,2,1,1,2,1]
[2,1,12,9,6,5,8,7,4,11,10,3] => [1,2,1,1,2,1,2,1,1]
[2,1,12,11,6,5,8,7,10,9,4,3] => [1,2,1,1,2,2,1,1,1]
[2,1,12,11,6,5,10,9,8,7,4,3] => [1,2,1,1,2,1,1,1,1,1]
[2,1,10,9,8,7,6,5,4,3,12,11] => [1,2,1,1,1,1,1,1,2,1]
[2,1,12,9,8,7,6,5,4,11,10,3] => [1,2,1,1,1,1,1,2,1,1]
[2,1,12,11,8,7,6,5,10,9,4,3] => [1,2,1,1,1,1,2,1,1,1]
[2,1,12,11,10,7,6,9,8,5,4,3] => [1,2,1,1,1,2,1,1,1,1]
[2,1,12,11,10,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1,1,1]
[4,3,2,1,6,5,8,7,10,9,12,11] => [1,1,1,2,2,2,2,1]
[4,3,2,1,6,5,8,7,12,11,10,9] => [1,1,1,2,2,2,1,1,1]
[4,3,2,1,6,5,10,9,8,7,12,11] => [1,1,1,2,2,1,1,2,1]
[4,3,2,1,6,5,12,9,8,11,10,7] => [1,1,1,2,2,1,2,1,1]
[4,3,2,1,6,5,12,11,10,9,8,7] => [1,1,1,2,2,1,1,1,1,1]
[4,3,2,1,8,7,6,5,10,9,12,11] => [1,1,1,2,1,1,2,2,1]
[4,3,2,1,8,7,6,5,12,11,10,9] => [1,1,1,2,1,1,2,1,1,1]
[4,3,2,1,10,7,6,9,8,5,12,11] => [1,1,1,2,1,2,1,2,1]
[4,3,2,1,12,7,6,9,8,11,10,5] => [1,1,1,2,1,2,2,1,1]
[4,3,2,1,12,7,6,11,10,9,8,5] => [1,1,1,2,1,2,1,1,1,1]
[4,3,2,1,10,9,8,7,6,5,12,11] => [1,1,1,2,1,1,1,1,2,1]
[4,3,2,1,12,9,8,7,6,11,10,5] => [1,1,1,2,1,1,1,2,1,1]
[4,3,2,1,12,11,8,7,10,9,6,5] => [1,1,1,2,1,1,2,1,1,1]
[4,3,2,1,12,11,10,9,8,7,6,5] => [1,1,1,2,1,1,1,1,1,1,1]
[6,3,2,5,4,1,8,7,10,9,12,11] => [1,1,2,1,2,2,2,1]
[6,3,2,5,4,1,8,7,12,11,10,9] => [1,1,2,1,2,2,1,1,1]
[6,3,2,5,4,1,10,9,8,7,12,11] => [1,1,2,1,2,1,1,2,1]
[6,3,2,5,4,1,12,9,8,11,10,7] => [1,1,2,1,2,1,2,1,1]
[6,3,2,5,4,1,12,11,10,9,8,7] => [1,1,2,1,2,1,1,1,1,1]
[8,3,2,5,4,7,6,1,10,9,12,11] => [1,1,2,2,1,2,2,1]
[8,3,2,5,4,7,6,1,12,11,10,9] => [1,1,2,2,1,2,1,1,1]
[10,3,2,5,4,7,6,9,8,1,12,11] => [1,1,2,2,2,1,2,1]
[12,3,2,5,4,7,6,9,8,11,10,1] => [1,1,2,2,2,2,1,1]
[12,3,2,5,4,7,6,11,10,9,8,1] => [1,1,2,2,2,1,1,1,1]
[10,3,2,5,4,9,8,7,6,1,12,11] => [1,1,2,2,1,1,1,2,1]
[12,3,2,5,4,9,8,7,6,11,10,1] => [1,1,2,2,1,1,2,1,1]
[12,3,2,5,4,11,8,7,10,9,6,1] => [1,1,2,2,1,2,1,1,1]
[12,3,2,5,4,11,10,9,8,7,6,1] => [1,1,2,2,1,1,1,1,1,1]
[8,3,2,7,6,5,4,1,10,9,12,11] => [1,1,2,1,1,1,2,2,1]
[8,3,2,7,6,5,4,1,12,11,10,9] => [1,1,2,1,1,1,2,1,1,1]
[10,3,2,7,6,5,4,9,8,1,12,11] => [1,1,2,1,1,2,1,2,1]
[12,3,2,7,6,5,4,9,8,11,10,1] => [1,1,2,1,1,2,2,1,1]
[12,3,2,7,6,5,4,11,10,9,8,1] => [1,1,2,1,1,2,1,1,1,1]
[10,3,2,9,6,5,8,7,4,1,12,11] => [1,1,2,1,2,1,1,2,1]
[12,3,2,9,6,5,8,7,4,11,10,1] => [1,1,2,1,2,1,2,1,1]
[12,3,2,11,6,5,8,7,10,9,4,1] => [1,1,2,1,2,2,1,1,1]
[12,3,2,11,6,5,10,9,8,7,4,1] => [1,1,2,1,2,1,1,1,1,1]
[10,3,2,9,8,7,6,5,4,1,12,11] => [1,1,2,1,1,1,1,1,2,1]
[12,3,2,9,8,7,6,5,4,11,10,1] => [1,1,2,1,1,1,1,2,1,1]
[12,3,2,11,8,7,6,5,10,9,4,1] => [1,1,2,1,1,1,2,1,1,1]
[12,3,2,11,10,7,6,9,8,5,4,1] => [1,1,2,1,1,2,1,1,1,1]
[12,3,2,11,10,9,8,7,6,5,4,1] => [1,1,2,1,1,1,1,1,1,1,1]
[6,5,4,3,2,1,8,7,10,9,12,11] => [1,1,1,1,1,2,2,2,1]
[6,5,4,3,2,1,8,7,12,11,10,9] => [1,1,1,1,1,2,2,1,1,1]
[6,5,4,3,2,1,10,9,8,7,12,11] => [1,1,1,1,1,2,1,1,2,1]
[6,5,4,3,2,1,12,9,8,11,10,7] => [1,1,1,1,1,2,1,2,1,1]
[6,5,4,3,2,1,12,11,10,9,8,7] => [1,1,1,1,1,2,1,1,1,1,1]
[8,5,4,3,2,7,6,1,10,9,12,11] => [1,1,1,1,2,1,2,2,1]
[8,5,4,3,2,7,6,1,12,11,10,9] => [1,1,1,1,2,1,2,1,1,1]
[10,5,4,3,2,7,6,9,8,1,12,11] => [1,1,1,1,2,2,1,2,1]
[12,5,4,3,2,7,6,9,8,11,10,1] => [1,1,1,1,2,2,2,1,1]
[12,5,4,3,2,7,6,11,10,9,8,1] => [1,1,1,1,2,2,1,1,1,1]
[10,5,4,3,2,9,8,7,6,1,12,11] => [1,1,1,1,2,1,1,1,2,1]
[12,5,4,3,2,9,8,7,6,11,10,1] => [1,1,1,1,2,1,1,2,1,1]
[12,5,4,3,2,11,8,7,10,9,6,1] => [1,1,1,1,2,1,2,1,1,1]
[12,5,4,3,2,11,10,9,8,7,6,1] => [1,1,1,1,2,1,1,1,1,1,1]
[8,7,4,3,6,5,2,1,10,9,12,11] => [1,1,1,2,1,1,2,2,1]
[8,7,4,3,6,5,2,1,12,11,10,9] => [1,1,1,2,1,1,2,1,1,1]
[10,7,4,3,6,5,2,9,8,1,12,11] => [1,1,1,2,1,2,1,2,1]
[12,7,4,3,6,5,2,9,8,11,10,1] => [1,1,1,2,1,2,2,1,1]
[12,7,4,3,6,5,2,11,10,9,8,1] => [1,1,1,2,1,2,1,1,1,1]
[10,9,4,3,6,5,8,7,2,1,12,11] => [1,1,1,2,2,1,1,2,1]
[12,9,4,3,6,5,8,7,2,11,10,1] => [1,1,1,2,2,1,2,1,1]
[12,11,4,3,6,5,8,7,10,9,2,1] => [1,1,1,2,2,2,1,1,1]
[12,11,4,3,6,5,10,9,8,7,2,1] => [1,1,1,2,2,1,1,1,1,1]
[10,9,4,3,8,7,6,5,2,1,12,11] => [1,1,1,2,1,1,1,1,2,1]
[12,9,4,3,8,7,6,5,2,11,10,1] => [1,1,1,2,1,1,1,2,1,1]
[12,11,4,3,8,7,6,5,10,9,2,1] => [1,1,1,2,1,1,2,1,1,1]
[12,11,4,3,10,7,6,9,8,5,2,1] => [1,1,1,2,1,2,1,1,1,1]
[12,11,4,3,10,9,8,7,6,5,2,1] => [1,1,1,2,1,1,1,1,1,1,1]
[8,7,6,5,4,3,2,1,10,9,12,11] => [1,1,1,1,1,1,1,2,2,1]
[8,7,6,5,4,3,2,1,12,11,10,9] => [1,1,1,1,1,1,1,2,1,1,1]
[10,7,6,5,4,3,2,9,8,1,12,11] => [1,1,1,1,1,1,2,1,2,1]
[12,7,6,5,4,3,2,9,8,11,10,1] => [1,1,1,1,1,1,2,2,1,1]
[12,7,6,5,4,3,2,11,10,9,8,1] => [1,1,1,1,1,1,2,1,1,1,1]
[10,9,6,5,4,3,8,7,2,1,12,11] => [1,1,1,1,1,2,1,1,2,1]
[12,9,6,5,4,3,8,7,2,11,10,1] => [1,1,1,1,1,2,1,2,1,1]
[12,11,6,5,4,3,8,7,10,9,2,1] => [1,1,1,1,1,2,2,1,1,1]
[12,11,6,5,4,3,10,9,8,7,2,1] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,8,5,4,7,6,3,2,1,12,11] => [1,1,1,1,2,1,1,1,2,1]
[12,9,8,5,4,7,6,3,2,11,10,1] => [1,1,1,1,2,1,1,2,1,1]
[12,11,8,5,4,7,6,3,10,9,2,1] => [1,1,1,1,2,1,2,1,1,1]
[12,11,10,5,4,7,6,9,8,3,2,1] => [1,1,1,1,2,2,1,1,1,1]
[12,11,10,5,4,9,8,7,6,3,2,1] => [1,1,1,1,2,1,1,1,1,1,1]
[10,9,8,7,6,5,4,3,2,1,12,11] => [1,1,1,1,1,1,1,1,1,2,1]
[12,9,8,7,6,5,4,3,2,11,10,1] => [1,1,1,1,1,1,1,1,2,1,1]
[12,11,8,7,6,5,4,3,10,9,2,1] => [1,1,1,1,1,1,1,2,1,1,1]
[12,11,10,7,6,5,4,9,8,3,2,1] => [1,1,1,1,1,1,2,1,1,1,1]
[12,11,10,9,6,5,8,7,4,3,2,1] => [1,1,1,1,1,2,1,1,1,1,1]
[12,11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1]
[2,4,6,8,10,12,1,3,5,7,9,11] => [6,6]
[2,4,6,8,11,12,1,3,5,7,9,10] => [6,6]
[2,4,6,9,10,12,1,3,5,7,8,11] => [6,6]
[2,4,6,9,11,12,1,3,5,7,8,10] => [6,6]
[2,4,6,10,11,12,1,3,5,7,8,9] => [6,6]
[2,4,7,8,10,12,1,3,5,6,9,11] => [6,6]
[2,4,7,8,11,12,1,3,5,6,9,10] => [6,6]
[2,4,7,9,10,12,1,3,5,6,8,11] => [6,6]
[2,4,7,9,11,12,1,3,5,6,8,10] => [6,6]
[2,4,7,10,11,12,1,3,5,6,8,9] => [6,6]
[2,4,8,9,10,12,1,3,5,6,7,11] => [6,6]
[2,4,8,9,11,12,1,3,5,6,7,10] => [6,6]
[2,4,8,10,11,12,1,3,5,6,7,9] => [6,6]
[2,4,9,10,11,12,1,3,5,6,7,8] => [6,6]
[2,5,6,8,10,12,1,3,4,7,9,11] => [6,6]
[2,5,6,8,11,12,1,3,4,7,9,10] => [6,6]
[2,5,6,9,10,12,1,3,4,7,8,11] => [6,6]
[2,5,6,9,11,12,1,3,4,7,8,10] => [6,6]
[2,5,6,10,11,12,1,3,4,7,8,9] => [6,6]
[2,5,7,8,10,12,1,3,4,6,9,11] => [6,6]
[2,5,7,8,11,12,1,3,4,6,9,10] => [6,6]
[2,5,7,9,10,12,1,3,4,6,8,11] => [6,6]
[2,5,7,9,11,12,1,3,4,6,8,10] => [6,6]
[2,5,7,10,11,12,1,3,4,6,8,9] => [6,6]
[2,5,8,9,10,12,1,3,4,6,7,11] => [6,6]
[2,5,8,9,11,12,1,3,4,6,7,10] => [6,6]
[2,5,8,10,11,12,1,3,4,6,7,9] => [6,6]
[2,5,9,10,11,12,1,3,4,6,7,8] => [6,6]
[2,6,7,8,10,12,1,3,4,5,9,11] => [6,6]
[2,6,7,8,11,12,1,3,4,5,9,10] => [6,6]
[2,6,7,9,10,12,1,3,4,5,8,11] => [6,6]
[2,6,7,9,11,12,1,3,4,5,8,10] => [6,6]
[2,6,7,10,11,12,1,3,4,5,8,9] => [6,6]
[2,6,8,9,10,12,1,3,4,5,7,11] => [6,6]
[2,6,8,9,11,12,1,3,4,5,7,10] => [6,6]
[2,6,8,10,11,12,1,3,4,5,7,9] => [6,6]
[2,6,9,10,11,12,1,3,4,5,7,8] => [6,6]
[2,7,8,9,10,12,1,3,4,5,6,11] => [6,6]
[2,7,8,9,11,12,1,3,4,5,6,10] => [6,6]
[2,7,8,10,11,12,1,3,4,5,6,9] => [6,6]
[2,7,9,10,11,12,1,3,4,5,6,8] => [6,6]
[2,8,9,10,11,12,1,3,4,5,6,7] => [6,6]
[3,4,6,8,10,12,1,2,5,7,9,11] => [6,6]
[3,4,6,8,11,12,1,2,5,7,9,10] => [6,6]
[3,4,6,9,10,12,1,2,5,7,8,11] => [6,6]
[3,4,6,9,11,12,1,2,5,7,8,10] => [6,6]
[3,4,6,10,11,12,1,2,5,7,8,9] => [6,6]
[3,4,7,8,10,12,1,2,5,6,9,11] => [6,6]
[3,4,7,8,11,12,1,2,5,6,9,10] => [6,6]
[3,4,7,9,10,12,1,2,5,6,8,11] => [6,6]
[3,4,7,9,11,12,1,2,5,6,8,10] => [6,6]
[3,4,7,10,11,12,1,2,5,6,8,9] => [6,6]
[3,4,8,9,10,12,1,2,5,6,7,11] => [6,6]
[3,4,8,9,11,12,1,2,5,6,7,10] => [6,6]
[3,4,8,10,11,12,1,2,5,6,7,9] => [6,6]
[3,4,9,10,11,12,1,2,5,6,7,8] => [6,6]
[3,5,6,8,10,12,1,2,4,7,9,11] => [6,6]
[3,5,6,8,11,12,1,2,4,7,9,10] => [6,6]
[3,5,6,9,10,12,1,2,4,7,8,11] => [6,6]
[3,5,6,9,11,12,1,2,4,7,8,10] => [6,6]
[3,5,6,10,11,12,1,2,4,7,8,9] => [6,6]
[3,5,7,8,10,12,1,2,4,6,9,11] => [6,6]
[3,5,7,8,11,12,1,2,4,6,9,10] => [6,6]
[3,5,7,9,10,12,1,2,4,6,8,11] => [6,6]
[3,5,7,9,11,12,1,2,4,6,8,10] => [6,6]
[3,5,7,10,11,12,1,2,4,6,8,9] => [6,6]
[3,5,8,9,10,12,1,2,4,6,7,11] => [6,6]
[3,5,8,9,11,12,1,2,4,6,7,10] => [6,6]
[3,5,8,10,11,12,1,2,4,6,7,9] => [6,6]
[3,5,9,10,11,12,1,2,4,6,7,8] => [6,6]
[3,6,7,8,10,12,1,2,4,5,9,11] => [6,6]
[3,6,7,8,11,12,1,2,4,5,9,10] => [6,6]
[3,6,7,9,10,12,1,2,4,5,8,11] => [6,6]
[3,6,7,9,11,12,1,2,4,5,8,10] => [6,6]
[3,6,7,10,11,12,1,2,4,5,8,9] => [6,6]
[3,6,8,9,10,12,1,2,4,5,7,11] => [6,6]
[3,6,8,9,11,12,1,2,4,5,7,10] => [6,6]
[3,6,8,10,11,12,1,2,4,5,7,9] => [6,6]
[3,6,9,10,11,12,1,2,4,5,7,8] => [6,6]
[3,7,8,9,10,12,1,2,4,5,6,11] => [6,6]
[3,7,8,9,11,12,1,2,4,5,6,10] => [6,6]
[3,7,8,10,11,12,1,2,4,5,6,9] => [6,6]
[3,7,9,10,11,12,1,2,4,5,6,8] => [6,6]
[3,8,9,10,11,12,1,2,4,5,6,7] => [6,6]
[4,5,6,8,10,12,1,2,3,7,9,11] => [6,6]
[4,5,6,8,11,12,1,2,3,7,9,10] => [6,6]
[4,5,6,9,10,12,1,2,3,7,8,11] => [6,6]
[4,5,6,9,11,12,1,2,3,7,8,10] => [6,6]
[4,5,6,10,11,12,1,2,3,7,8,9] => [6,6]
[4,5,7,8,10,12,1,2,3,6,9,11] => [6,6]
[4,5,7,8,11,12,1,2,3,6,9,10] => [6,6]
[4,5,7,9,10,12,1,2,3,6,8,11] => [6,6]
[4,5,7,9,11,12,1,2,3,6,8,10] => [6,6]
[4,5,7,10,11,12,1,2,3,6,8,9] => [6,6]
[4,5,8,9,10,12,1,2,3,6,7,11] => [6,6]
[4,5,8,9,11,12,1,2,3,6,7,10] => [6,6]
[4,5,8,10,11,12,1,2,3,6,7,9] => [6,6]
[4,5,9,10,11,12,1,2,3,6,7,8] => [6,6]
[4,6,7,8,10,12,1,2,3,5,9,11] => [6,6]
[4,6,7,8,11,12,1,2,3,5,9,10] => [6,6]
[4,6,7,9,10,12,1,2,3,5,8,11] => [6,6]
[4,6,7,9,11,12,1,2,3,5,8,10] => [6,6]
[4,6,7,10,11,12,1,2,3,5,8,9] => [6,6]
[4,6,8,9,10,12,1,2,3,5,7,11] => [6,6]
[4,6,8,9,11,12,1,2,3,5,7,10] => [6,6]
[4,6,8,10,11,12,1,2,3,5,7,9] => [6,6]
[4,6,9,10,11,12,1,2,3,5,7,8] => [6,6]
[4,7,8,9,10,12,1,2,3,5,6,11] => [6,6]
[4,7,8,9,11,12,1,2,3,5,6,10] => [6,6]
[4,7,8,10,11,12,1,2,3,5,6,9] => [6,6]
[4,7,9,10,11,12,1,2,3,5,6,8] => [6,6]
[4,8,9,10,11,12,1,2,3,5,6,7] => [6,6]
[5,6,7,8,10,12,1,2,3,4,9,11] => [6,6]
[5,6,7,8,11,12,1,2,3,4,9,10] => [6,6]
[5,6,7,9,10,12,1,2,3,4,8,11] => [6,6]
[5,6,7,9,11,12,1,2,3,4,8,10] => [6,6]
[5,6,7,10,11,12,1,2,3,4,8,9] => [6,6]
[5,6,8,9,10,12,1,2,3,4,7,11] => [6,6]
[5,6,8,9,11,12,1,2,3,4,7,10] => [6,6]
[5,6,8,10,11,12,1,2,3,4,7,9] => [6,6]
[5,6,9,10,11,12,1,2,3,4,7,8] => [6,6]
[5,7,8,9,10,12,1,2,3,4,6,11] => [6,6]
[5,7,8,9,11,12,1,2,3,4,6,10] => [6,6]
[5,7,8,10,11,12,1,2,3,4,6,9] => [6,6]
[5,7,9,10,11,12,1,2,3,4,6,8] => [6,6]
[5,8,9,10,11,12,1,2,3,4,6,7] => [6,6]
[6,7,8,9,10,12,1,2,3,4,5,11] => [6,6]
[6,7,8,9,11,12,1,2,3,4,5,10] => [6,6]
[6,7,8,10,11,12,1,2,3,4,5,9] => [6,6]
[6,7,9,10,11,12,1,2,3,4,5,8] => [6,6]
[6,8,9,10,11,12,1,2,3,4,5,7] => [6,6]
[7,8,9,10,11,12,1,2,3,4,5,6] => [6,6]
[2,3,4,5,6,7,8,9,10,12,1,11] => [10,2]
[3,1,4,5,6,7,8,9,10,11,12,2] => [1,10,1]
[2,1,4,3,6,5,8,7,11,12,10,9] => [1,2,2,2,3,1,1]
[2,1,4,3,6,5,9,10,8,7,12,11] => [1,2,2,3,1,2,1]
[2,1,4,3,6,5,9,11,8,12,10,7] => [1,2,2,3,2,1,1]
[2,1,4,3,6,5,10,11,12,9,8,7] => [1,2,2,4,1,1,1]
[2,1,4,3,7,8,6,5,10,9,12,11] => [1,2,3,1,2,2,1]
[2,1,4,3,7,8,6,5,11,12,10,9] => [1,2,3,1,3,1,1]
[2,1,4,3,7,9,6,10,8,5,12,11] => [1,2,3,2,1,2,1]
[2,1,4,3,7,9,6,11,8,12,10,5] => [1,2,3,2,2,1,1]
[2,1,4,3,7,10,6,11,12,9,8,5] => [1,2,3,3,1,1,1]
[2,1,4,3,8,9,10,7,6,5,12,11] => [1,2,4,1,1,2,1]
[2,1,4,3,8,9,11,7,6,12,10,5] => [1,2,4,1,2,1,1]
[2,1,4,3,8,10,11,7,12,9,6,5] => [1,2,4,2,1,1,1]
[2,1,4,3,9,10,11,12,8,7,6,5] => [1,2,5,1,1,1,1]
[2,1,5,6,4,3,8,7,10,9,12,11] => [1,3,1,2,2,2,1]
[2,1,5,6,4,3,8,7,11,12,10,9] => [1,3,1,2,3,1,1]
[2,1,5,6,4,3,9,10,8,7,12,11] => [1,3,1,3,1,2,1]
[2,1,5,6,4,3,9,11,8,12,10,7] => [1,3,1,3,2,1,1]
[2,1,5,6,4,3,10,11,12,9,8,7] => [1,3,1,4,1,1,1]
[2,1,5,7,4,8,6,3,10,9,12,11] => [1,3,2,1,2,2,1]
[2,1,5,7,4,8,6,3,11,12,10,9] => [1,3,2,1,3,1,1]
[2,1,5,7,4,9,6,10,8,3,12,11] => [1,3,2,2,1,2,1]
[2,1,5,7,4,9,6,11,8,12,10,3] => [1,3,2,2,2,1,1]
[2,1,5,7,4,10,6,11,12,9,8,3] => [1,3,2,3,1,1,1]
[2,1,5,8,4,9,10,7,6,3,12,11] => [1,3,3,1,1,2,1]
[2,1,5,8,4,9,11,7,6,12,10,3] => [1,3,3,1,2,1,1]
[2,1,5,8,4,10,11,7,12,9,6,3] => [1,3,3,2,1,1,1]
[2,1,5,9,4,10,11,12,8,7,6,3] => [1,3,4,1,1,1,1]
[2,1,6,7,8,5,4,3,10,9,12,11] => [1,4,1,1,2,2,1]
[2,1,6,7,8,5,4,3,11,12,10,9] => [1,4,1,1,3,1,1]
[2,1,6,7,9,5,4,10,8,3,12,11] => [1,4,1,2,1,2,1]
[2,1,6,7,9,5,4,11,8,12,10,3] => [1,4,1,2,2,1,1]
[2,1,6,7,10,5,4,11,12,9,8,3] => [1,4,1,3,1,1,1]
[2,1,6,8,9,5,10,7,4,3,12,11] => [1,4,2,1,1,2,1]
[2,1,6,8,9,5,11,7,4,12,10,3] => [1,4,2,1,2,1,1]
[2,1,6,8,10,5,11,7,12,9,4,3] => [1,4,2,2,1,1,1]
[2,1,6,9,10,5,11,12,8,7,4,3] => [1,4,3,1,1,1,1]
[2,1,7,8,9,10,6,5,4,3,12,11] => [1,5,1,1,1,2,1]
[2,1,7,8,9,11,6,5,4,12,10,3] => [1,5,1,1,2,1,1]
[2,1,7,8,10,11,6,5,12,9,4,3] => [1,5,1,2,1,1,1]
[2,1,7,9,10,11,6,12,8,5,4,3] => [1,5,2,1,1,1,1]
[2,1,8,9,10,11,12,7,6,5,4,3] => [1,6,1,1,1,1,1]
[3,4,2,1,6,5,8,7,10,9,12,11] => [2,1,2,2,2,2,1]
[3,4,2,1,6,5,8,7,11,12,10,9] => [2,1,2,2,3,1,1]
[3,4,2,1,6,5,9,10,8,7,12,11] => [2,1,2,3,1,2,1]
[3,4,2,1,6,5,9,11,8,12,10,7] => [2,1,2,3,2,1,1]
[3,4,2,1,6,5,10,11,12,9,8,7] => [2,1,2,4,1,1,1]
[3,4,2,1,7,8,6,5,10,9,12,11] => [2,1,3,1,2,2,1]
[3,4,2,1,7,8,6,5,11,12,10,9] => [2,1,3,1,3,1,1]
[3,4,2,1,7,9,6,10,8,5,12,11] => [2,1,3,2,1,2,1]
[3,4,2,1,7,9,6,11,8,12,10,5] => [2,1,3,2,2,1,1]
[3,4,2,1,7,10,6,11,12,9,8,5] => [2,1,3,3,1,1,1]
[3,4,2,1,8,9,10,7,6,5,12,11] => [2,1,4,1,1,2,1]
[3,4,2,1,8,9,11,7,6,12,10,5] => [2,1,4,1,2,1,1]
[3,4,2,1,8,10,11,7,12,9,6,5] => [2,1,4,2,1,1,1]
[3,4,2,1,9,10,11,12,8,7,6,5] => [2,1,5,1,1,1,1]
[3,5,2,6,4,1,8,7,10,9,12,11] => [2,2,1,2,2,2,1]
[3,5,2,6,4,1,8,7,11,12,10,9] => [2,2,1,2,3,1,1]
[3,5,2,6,4,1,9,10,8,7,12,11] => [2,2,1,3,1,2,1]
[3,5,2,6,4,1,9,11,8,12,10,7] => [2,2,1,3,2,1,1]
[3,5,2,6,4,1,10,11,12,9,8,7] => [2,2,1,4,1,1,1]
[3,5,2,7,4,8,6,1,10,9,12,11] => [2,2,2,1,2,2,1]
[3,5,2,7,4,8,6,1,11,12,10,9] => [2,2,2,1,3,1,1]
[3,5,2,7,4,9,6,10,8,1,12,11] => [2,2,2,2,1,2,1]
[3,5,2,7,4,9,6,11,8,12,10,1] => [2,2,2,2,2,1,1]
[3,5,2,7,4,10,6,11,12,9,8,1] => [2,2,2,3,1,1,1]
[3,5,2,8,4,9,10,7,6,1,12,11] => [2,2,3,1,1,2,1]
[3,5,2,8,4,9,11,7,6,12,10,1] => [2,2,3,1,2,1,1]
[3,5,2,8,4,10,11,7,12,9,6,1] => [2,2,3,2,1,1,1]
[3,5,2,9,4,10,11,12,8,7,6,1] => [2,2,4,1,1,1,1]
[3,6,2,7,8,5,4,1,10,9,12,11] => [2,3,1,1,2,2,1]
[3,6,2,7,8,5,4,1,11,12,10,9] => [2,3,1,1,3,1,1]
[3,6,2,7,9,5,4,10,8,1,12,11] => [2,3,1,2,1,2,1]
[3,6,2,7,9,5,4,11,8,12,10,1] => [2,3,1,2,2,1,1]
[3,6,2,7,10,5,4,11,12,9,8,1] => [2,3,1,3,1,1,1]
[3,6,2,8,9,5,10,7,4,1,12,11] => [2,3,2,1,1,2,1]
[3,6,2,8,9,5,11,7,4,12,10,1] => [2,3,2,1,2,1,1]
[3,6,2,8,10,5,11,7,12,9,4,1] => [2,3,2,2,1,1,1]
[3,6,2,9,10,5,11,12,8,7,4,1] => [2,3,3,1,1,1,1]
[3,7,2,8,9,10,6,5,4,1,12,11] => [2,4,1,1,1,2,1]
[3,7,2,8,9,11,6,5,4,12,10,1] => [2,4,1,1,2,1,1]
[3,7,2,8,10,11,6,5,12,9,4,1] => [2,4,1,2,1,1,1]
[3,7,2,9,10,11,6,12,8,5,4,1] => [2,4,2,1,1,1,1]
[3,8,2,9,10,11,12,7,6,5,4,1] => [2,5,1,1,1,1,1]
[4,5,6,3,2,1,8,7,10,9,12,11] => [3,1,1,2,2,2,1]
[4,5,6,3,2,1,8,7,11,12,10,9] => [3,1,1,2,3,1,1]
[4,5,6,3,2,1,9,10,8,7,12,11] => [3,1,1,3,1,2,1]
[4,5,6,3,2,1,9,11,8,12,10,7] => [3,1,1,3,2,1,1]
[4,5,6,3,2,1,10,11,12,9,8,7] => [3,1,1,4,1,1,1]
[4,5,7,3,2,8,6,1,10,9,12,11] => [3,1,2,1,2,2,1]
[4,5,7,3,2,8,6,1,11,12,10,9] => [3,1,2,1,3,1,1]
[4,5,7,3,2,9,6,10,8,1,12,11] => [3,1,2,2,1,2,1]
[4,5,7,3,2,9,6,11,8,12,10,1] => [3,1,2,2,2,1,1]
[4,5,7,3,2,10,6,11,12,9,8,1] => [3,1,2,3,1,1,1]
[4,5,8,3,2,9,10,7,6,1,12,11] => [3,1,3,1,1,2,1]
[4,5,8,3,2,9,11,7,6,12,10,1] => [3,1,3,1,2,1,1]
[4,5,8,3,2,10,11,7,12,9,6,1] => [3,1,3,2,1,1,1]
[4,5,9,3,2,10,11,12,8,7,6,1] => [3,1,4,1,1,1,1]
[4,6,7,3,8,5,2,1,10,9,12,11] => [3,2,1,1,2,2,1]
[4,6,7,3,8,5,2,1,11,12,10,9] => [3,2,1,1,3,1,1]
[4,6,7,3,9,5,2,10,8,1,12,11] => [3,2,1,2,1,2,1]
[4,6,7,3,9,5,2,11,8,12,10,1] => [3,2,1,2,2,1,1]
[4,6,7,3,10,5,2,11,12,9,8,1] => [3,2,1,3,1,1,1]
[4,6,8,3,9,5,10,7,2,1,12,11] => [3,2,2,1,1,2,1]
[4,6,8,3,9,5,11,7,2,12,10,1] => [3,2,2,1,2,1,1]
[4,6,8,3,10,5,11,7,12,9,2,1] => [3,2,2,2,1,1,1]
[4,6,9,3,10,5,11,12,8,7,2,1] => [3,2,3,1,1,1,1]
[4,7,8,3,9,10,6,5,2,1,12,11] => [3,3,1,1,1,2,1]
[4,7,8,3,9,11,6,5,2,12,10,1] => [3,3,1,1,2,1,1]
[4,7,8,3,10,11,6,5,12,9,2,1] => [3,3,1,2,1,1,1]
[4,7,9,3,10,11,6,12,8,5,2,1] => [3,3,2,1,1,1,1]
[4,8,9,3,10,11,12,7,6,5,2,1] => [3,4,1,1,1,1,1]
[5,6,7,8,4,3,2,1,10,9,12,11] => [4,1,1,1,2,2,1]
[5,6,7,8,4,3,2,1,11,12,10,9] => [4,1,1,1,3,1,1]
[5,6,7,9,4,3,2,10,8,1,12,11] => [4,1,1,2,1,2,1]
[5,6,7,9,4,3,2,11,8,12,10,1] => [4,1,1,2,2,1,1]
[5,6,7,10,4,3,2,11,12,9,8,1] => [4,1,1,3,1,1,1]
[5,6,8,9,4,3,10,7,2,1,12,11] => [4,1,2,1,1,2,1]
[5,6,8,9,4,3,11,7,2,12,10,1] => [4,1,2,1,2,1,1]
[5,6,8,10,4,3,11,7,12,9,2,1] => [4,1,2,2,1,1,1]
[5,6,9,10,4,3,11,12,8,7,2,1] => [4,1,3,1,1,1,1]
[5,7,8,9,4,10,6,3,2,1,12,11] => [4,2,1,1,1,2,1]
[5,7,8,9,4,11,6,3,2,12,10,1] => [4,2,1,1,2,1,1]
[5,7,8,10,4,11,6,3,12,9,2,1] => [4,2,1,2,1,1,1]
[5,7,9,10,4,11,6,12,8,3,2,1] => [4,2,2,1,1,1,1]
[5,8,9,10,4,11,12,7,6,3,2,1] => [4,3,1,1,1,1,1]
[6,7,8,9,10,5,4,3,2,1,12,11] => [5,1,1,1,1,2,1]
[6,7,8,9,11,5,4,3,2,12,10,1] => [5,1,1,1,2,1,1]
[6,7,8,10,11,5,4,3,12,9,2,1] => [5,1,1,2,1,1,1]
[6,7,9,10,11,5,4,12,8,3,2,1] => [5,1,2,1,1,1,1]
[6,8,9,10,11,5,12,7,4,3,2,1] => [5,2,1,1,1,1,1]
[7,8,9,10,11,12,6,5,4,3,2,1] => [6,1,1,1,1,1,1]
[11,10,9,8,7,6,5,4,3,1,12,2] => [1,1,1,1,1,1,1,1,1,2,1]
[10,12,9,8,7,6,5,4,3,2,1,11] => [2,1,1,1,1,1,1,1,1,2]
[11,12,9,10,7,8,5,6,3,4,1,2] => [2,2,2,2,2,2]
[9,10,12,11,7,8,5,6,3,4,1,2] => [3,1,2,2,2,2]
[11,12,7,8,10,9,5,6,3,4,1,2] => [2,3,1,2,2,2]
[7,10,12,8,11,9,5,6,3,4,1,2] => [3,2,1,2,2,2]
[7,8,9,12,11,10,5,6,3,4,1,2] => [4,1,1,2,2,2]
[11,12,9,10,5,6,8,7,3,4,1,2] => [2,2,3,1,2,2]
[9,10,12,11,5,6,8,7,3,4,1,2] => [3,1,3,1,2,2]
[11,12,5,8,10,6,9,7,3,4,1,2] => [2,3,2,1,2,2]
[5,10,12,8,11,6,9,7,3,4,1,2] => [3,2,2,1,2,2]
[5,8,9,12,11,6,10,7,3,4,1,2] => [4,1,2,1,2,2]
[11,12,5,6,7,10,9,8,3,4,1,2] => [2,4,1,1,2,2]
[5,10,12,6,7,11,9,8,3,4,1,2] => [3,3,1,1,2,2]
[5,6,9,12,7,11,10,8,3,4,1,2] => [4,2,1,1,2,2]
[5,6,7,8,12,11,10,9,3,4,1,2] => [5,1,1,1,2,2]
[11,12,9,10,7,8,3,4,6,5,1,2] => [2,2,2,3,1,2]
[9,10,12,11,7,8,3,4,6,5,1,2] => [3,1,2,3,1,2]
[11,12,7,8,10,9,3,4,6,5,1,2] => [2,3,1,3,1,2]
[7,10,12,8,11,9,3,4,6,5,1,2] => [3,2,1,3,1,2]
[7,8,9,12,11,10,3,4,6,5,1,2] => [4,1,1,3,1,2]
[11,12,9,10,3,6,8,4,7,5,1,2] => [2,2,3,2,1,2]
[9,10,12,11,3,6,8,4,7,5,1,2] => [3,1,3,2,1,2]
[11,12,3,8,10,6,9,4,7,5,1,2] => [2,3,2,2,1,2]
[3,10,12,8,11,6,9,4,7,5,1,2] => [3,2,2,2,1,2]
[3,8,9,12,11,6,10,4,7,5,1,2] => [4,1,2,2,1,2]
[11,12,3,6,7,10,9,4,8,5,1,2] => [2,4,1,2,1,2]
[3,10,12,6,7,11,9,4,8,5,1,2] => [3,3,1,2,1,2]
[3,6,9,12,7,11,10,4,8,5,1,2] => [4,2,1,2,1,2]
[3,6,7,8,12,11,10,4,9,5,1,2] => [5,1,1,2,1,2]
[11,12,9,10,3,4,5,8,7,6,1,2] => [2,2,4,1,1,2]
[9,10,12,11,3,4,5,8,7,6,1,2] => [3,1,4,1,1,2]
[11,12,3,8,10,4,5,9,7,6,1,2] => [2,3,3,1,1,2]
[3,10,12,8,11,4,5,9,7,6,1,2] => [3,2,3,1,1,2]
[3,8,9,12,11,4,5,10,7,6,1,2] => [4,1,3,1,1,2]
[11,12,3,4,7,10,5,9,8,6,1,2] => [2,4,2,1,1,2]
[3,10,12,4,7,11,5,9,8,6,1,2] => [3,3,2,1,1,2]
[3,4,9,12,7,11,5,10,8,6,1,2] => [4,2,2,1,1,2]
[3,4,7,8,12,11,5,10,9,6,1,2] => [5,1,2,1,1,2]
[11,12,3,4,5,6,10,9,8,7,1,2] => [2,5,1,1,1,2]
[3,10,12,4,5,6,11,9,8,7,1,2] => [3,4,1,1,1,2]
[3,4,9,12,5,6,11,10,8,7,1,2] => [4,3,1,1,1,2]
[3,4,5,8,12,6,11,10,9,7,1,2] => [5,2,1,1,1,2]
[3,4,5,6,7,12,11,10,9,8,1,2] => [6,1,1,1,1,2]
[11,12,9,10,7,8,5,6,1,2,4,3] => [2,2,2,2,3,1]
[9,10,12,11,7,8,5,6,1,2,4,3] => [3,1,2,2,3,1]
[11,12,7,8,10,9,5,6,1,2,4,3] => [2,3,1,2,3,1]
[7,10,12,8,11,9,5,6,1,2,4,3] => [3,2,1,2,3,1]
[7,8,9,12,11,10,5,6,1,2,4,3] => [4,1,1,2,3,1]
[11,12,9,10,5,6,8,7,1,2,4,3] => [2,2,3,1,3,1]
[9,10,12,11,5,6,8,7,1,2,4,3] => [3,1,3,1,3,1]
[11,12,5,8,10,6,9,7,1,2,4,3] => [2,3,2,1,3,1]
[5,10,12,8,11,6,9,7,1,2,4,3] => [3,2,2,1,3,1]
[5,8,9,12,11,6,10,7,1,2,4,3] => [4,1,2,1,3,1]
[11,12,5,6,7,10,9,8,1,2,4,3] => [2,4,1,1,3,1]
[5,10,12,6,7,11,9,8,1,2,4,3] => [3,3,1,1,3,1]
[5,6,9,12,7,11,10,8,1,2,4,3] => [4,2,1,1,3,1]
[5,6,7,8,12,11,10,9,1,2,4,3] => [5,1,1,1,3,1]
[11,12,9,10,7,8,1,4,6,2,5,3] => [2,2,2,3,2,1]
[9,10,12,11,7,8,1,4,6,2,5,3] => [3,1,2,3,2,1]
[11,12,7,8,10,9,1,4,6,2,5,3] => [2,3,1,3,2,1]
[7,10,12,8,11,9,1,4,6,2,5,3] => [3,2,1,3,2,1]
[7,8,9,12,11,10,1,4,6,2,5,3] => [4,1,1,3,2,1]
[11,12,9,10,1,6,8,4,7,2,5,3] => [2,2,3,2,2,1]
[9,10,12,11,1,6,8,4,7,2,5,3] => [3,1,3,2,2,1]
[11,12,1,8,10,6,9,4,7,2,5,3] => [2,3,2,2,2,1]
[1,10,12,8,11,6,9,4,7,2,5,3] => [3,2,2,2,2,1]
[1,8,9,12,11,6,10,4,7,2,5,3] => [4,1,2,2,2,1]
[11,12,1,6,7,10,9,4,8,2,5,3] => [2,4,1,2,2,1]
[1,10,12,6,7,11,9,4,8,2,5,3] => [3,3,1,2,2,1]
[1,6,9,12,7,11,10,4,8,2,5,3] => [4,2,1,2,2,1]
[1,6,7,8,12,11,10,4,9,2,5,3] => [5,1,1,2,2,1]
[11,12,9,10,1,4,5,8,7,2,6,3] => [2,2,4,1,2,1]
[9,10,12,11,1,4,5,8,7,2,6,3] => [3,1,4,1,2,1]
[11,12,1,8,10,4,5,9,7,2,6,3] => [2,3,3,1,2,1]
[1,10,12,8,11,4,5,9,7,2,6,3] => [3,2,3,1,2,1]
[1,8,9,12,11,4,5,10,7,2,6,3] => [4,1,3,1,2,1]
[11,12,1,4,7,10,5,9,8,2,6,3] => [2,4,2,1,2,1]
[1,10,12,4,7,11,5,9,8,2,6,3] => [3,3,2,1,2,1]
[1,4,9,12,7,11,5,10,8,2,6,3] => [4,2,2,1,2,1]
[1,4,7,8,12,11,5,10,9,2,6,3] => [5,1,2,1,2,1]
[11,12,1,4,5,6,10,9,8,2,7,3] => [2,5,1,1,2,1]
[1,10,12,4,5,6,11,9,8,2,7,3] => [3,4,1,1,2,1]
[1,4,9,12,5,6,11,10,8,2,7,3] => [4,3,1,1,2,1]
[1,4,5,8,12,6,11,10,9,2,7,3] => [5,2,1,1,2,1]
[1,4,5,6,7,12,11,10,9,2,8,3] => [6,1,1,1,2,1]
[11,12,9,10,7,8,1,2,3,6,5,4] => [2,2,2,4,1,1]
[9,10,12,11,7,8,1,2,3,6,5,4] => [3,1,2,4,1,1]
[11,12,7,8,10,9,1,2,3,6,5,4] => [2,3,1,4,1,1]
[7,10,12,8,11,9,1,2,3,6,5,4] => [3,2,1,4,1,1]
[7,8,9,12,11,10,1,2,3,6,5,4] => [4,1,1,4,1,1]
[11,12,9,10,1,6,8,2,3,7,5,4] => [2,2,3,3,1,1]
[9,10,12,11,1,6,8,2,3,7,5,4] => [3,1,3,3,1,1]
[11,12,1,8,10,6,9,2,3,7,5,4] => [2,3,2,3,1,1]
[1,10,12,8,11,6,9,2,3,7,5,4] => [3,2,2,3,1,1]
[1,8,9,12,11,6,10,2,3,7,5,4] => [4,1,2,3,1,1]
[11,12,1,6,7,10,9,2,3,8,5,4] => [2,4,1,3,1,1]
[1,10,12,6,7,11,9,2,3,8,5,4] => [3,3,1,3,1,1]
[1,6,9,12,7,11,10,2,3,8,5,4] => [4,2,1,3,1,1]
[1,6,7,8,12,11,10,2,3,9,5,4] => [5,1,1,3,1,1]
[11,12,9,10,1,2,5,8,3,7,6,4] => [2,2,4,2,1,1]
[9,10,12,11,1,2,5,8,3,7,6,4] => [3,1,4,2,1,1]
[11,12,1,8,10,2,5,9,3,7,6,4] => [2,3,3,2,1,1]
[1,10,12,8,11,2,5,9,3,7,6,4] => [3,2,3,2,1,1]
[1,8,9,12,11,2,5,10,3,7,6,4] => [4,1,3,2,1,1]
[11,12,1,2,7,10,5,9,3,8,6,4] => [2,4,2,2,1,1]
[1,10,12,2,7,11,5,9,3,8,6,4] => [3,3,2,2,1,1]
[1,2,9,12,7,11,5,10,3,8,6,4] => [4,2,2,2,1,1]
[1,2,7,8,12,11,5,10,3,9,6,4] => [5,1,2,2,1,1]
[11,12,1,2,5,6,10,9,3,8,7,4] => [2,5,1,2,1,1]
[1,10,12,2,5,6,11,9,3,8,7,4] => [3,4,1,2,1,1]
[1,2,9,12,5,6,11,10,3,8,7,4] => [4,3,1,2,1,1]
[1,2,5,8,12,6,11,10,3,9,7,4] => [5,2,1,2,1,1]
[1,2,5,6,7,12,11,10,3,9,8,4] => [6,1,1,2,1,1]
[11,12,9,10,1,2,3,4,8,7,6,5] => [2,2,5,1,1,1]
[9,10,12,11,1,2,3,4,8,7,6,5] => [3,1,5,1,1,1]
[11,12,1,8,10,2,3,4,9,7,6,5] => [2,3,4,1,1,1]
[1,10,12,8,11,2,3,4,9,7,6,5] => [3,2,4,1,1,1]
[1,8,9,12,11,2,3,4,10,7,6,5] => [4,1,4,1,1,1]
[11,12,1,2,7,10,3,4,9,8,6,5] => [2,4,3,1,1,1]
[1,10,12,2,7,11,3,4,9,8,6,5] => [3,3,3,1,1,1]
[1,2,9,12,7,11,3,4,10,8,6,5] => [4,2,3,1,1,1]
[1,2,7,8,12,11,3,4,10,9,6,5] => [5,1,3,1,1,1]
[11,12,1,2,3,6,10,4,9,8,7,5] => [2,5,2,1,1,1]
[1,10,12,2,3,6,11,4,9,8,7,5] => [3,4,2,1,1,1]
[1,2,9,12,3,6,11,4,10,8,7,5] => [4,3,2,1,1,1]
[1,2,3,8,12,6,11,4,10,9,7,5] => [5,2,2,1,1,1]
[1,2,3,6,7,12,11,4,10,9,8,5] => [6,1,2,1,1,1]
[11,12,1,2,3,4,5,10,9,8,7,6] => [2,6,1,1,1,1]
[1,10,12,2,3,4,5,11,9,8,7,6] => [3,5,1,1,1,1]
[1,2,9,12,3,4,5,11,10,8,7,6] => [4,4,1,1,1,1]
[1,2,3,8,12,4,5,11,10,9,7,6] => [5,3,1,1,1,1]
[1,2,3,4,7,12,5,11,10,9,8,6] => [6,2,1,1,1,1]
[1,2,3,4,5,6,12,11,10,9,8,7] => [7,1,1,1,1,1]
[2,1,4,3,6,5,8,7,12,11,9,10] => [1,2,2,2,2,1,2]
[2,1,4,3,6,5,10,9,7,8,12,11] => [1,2,2,2,1,3,1]
[2,1,4,3,6,5,12,9,7,11,8,10] => [1,2,2,2,1,2,2]
[2,1,4,3,6,5,12,11,10,7,8,9] => [1,2,2,2,1,1,3]
[2,1,4,3,8,7,5,6,10,9,12,11] => [1,2,2,1,3,2,1]
[2,1,4,3,8,7,5,6,12,11,9,10] => [1,2,2,1,3,1,2]
[2,1,4,3,10,7,5,9,6,8,12,11] => [1,2,2,1,2,3,1]
[2,1,4,3,12,7,5,9,6,11,8,10] => [1,2,2,1,2,2,2]
[2,1,4,3,12,7,5,11,10,6,8,9] => [1,2,2,1,2,1,3]
[2,1,4,3,10,9,8,5,6,7,12,11] => [1,2,2,1,1,4,1]
[2,1,4,3,12,9,8,5,6,11,7,10] => [1,2,2,1,1,3,2]
[2,1,4,3,12,11,8,5,10,6,7,9] => [1,2,2,1,1,2,3]
[2,1,4,3,12,11,10,9,5,6,7,8] => [1,2,2,1,1,1,4]
[2,1,6,5,3,4,8,7,10,9,12,11] => [1,2,1,3,2,2,1]
[2,1,6,5,3,4,8,7,12,11,9,10] => [1,2,1,3,2,1,2]
[2,1,6,5,3,4,10,9,7,8,12,11] => [1,2,1,3,1,3,1]
[2,1,6,5,3,4,12,9,7,11,8,10] => [1,2,1,3,1,2,2]
[2,1,6,5,3,4,12,11,10,7,8,9] => [1,2,1,3,1,1,3]
[2,1,8,5,3,7,4,6,10,9,12,11] => [1,2,1,2,3,2,1]
[2,1,8,5,3,7,4,6,12,11,9,10] => [1,2,1,2,3,1,2]
[2,1,10,5,3,7,4,9,6,8,12,11] => [1,2,1,2,2,3,1]
[2,1,12,5,3,7,4,9,6,11,8,10] => [1,2,1,2,2,2,2]
[2,1,12,5,3,7,4,11,10,6,8,9] => [1,2,1,2,2,1,3]
[2,1,10,5,3,9,8,4,6,7,12,11] => [1,2,1,2,1,4,1]
[2,1,12,5,3,9,8,4,6,11,7,10] => [1,2,1,2,1,3,2]
[2,1,12,5,3,11,8,4,10,6,7,9] => [1,2,1,2,1,2,3]
[2,1,12,5,3,11,10,9,4,6,7,8] => [1,2,1,2,1,1,4]
[2,1,8,7,6,3,4,5,10,9,12,11] => [1,2,1,1,4,2,1]
[2,1,8,7,6,3,4,5,12,11,9,10] => [1,2,1,1,4,1,2]
[2,1,10,7,6,3,4,9,5,8,12,11] => [1,2,1,1,3,3,1]
[2,1,12,7,6,3,4,9,5,11,8,10] => [1,2,1,1,3,2,2]
[2,1,12,7,6,3,4,11,10,5,8,9] => [1,2,1,1,3,1,3]
[2,1,10,9,6,3,8,4,5,7,12,11] => [1,2,1,1,2,4,1]
[2,1,12,9,6,3,8,4,5,11,7,10] => [1,2,1,1,2,3,2]
[2,1,12,11,6,3,8,4,10,5,7,9] => [1,2,1,1,2,2,3]
[2,1,12,11,6,3,10,9,4,5,7,8] => [1,2,1,1,2,1,4]
[2,1,10,9,8,7,3,4,5,6,12,11] => [1,2,1,1,1,5,1]
[2,1,12,9,8,7,3,4,5,11,6,10] => [1,2,1,1,1,4,2]
[2,1,12,11,8,7,3,4,10,5,6,9] => [1,2,1,1,1,3,3]
[2,1,12,11,10,7,3,9,4,5,6,8] => [1,2,1,1,1,2,4]
[2,1,12,11,10,9,8,3,4,5,6,7] => [1,2,1,1,1,1,5]
[4,3,1,2,6,5,8,7,10,9,12,11] => [1,1,3,2,2,2,1]
[4,3,1,2,6,5,8,7,12,11,9,10] => [1,1,3,2,2,1,2]
[4,3,1,2,6,5,10,9,7,8,12,11] => [1,1,3,2,1,3,1]
[4,3,1,2,6,5,12,9,7,11,8,10] => [1,1,3,2,1,2,2]
[4,3,1,2,6,5,12,11,10,7,8,9] => [1,1,3,2,1,1,3]
[4,3,1,2,8,7,5,6,10,9,12,11] => [1,1,3,1,3,2,1]
[4,3,1,2,8,7,5,6,12,11,9,10] => [1,1,3,1,3,1,2]
[4,3,1,2,10,7,5,9,6,8,12,11] => [1,1,3,1,2,3,1]
[4,3,1,2,12,7,5,9,6,11,8,10] => [1,1,3,1,2,2,2]
[4,3,1,2,12,7,5,11,10,6,8,9] => [1,1,3,1,2,1,3]
[4,3,1,2,10,9,8,5,6,7,12,11] => [1,1,3,1,1,4,1]
[4,3,1,2,12,9,8,5,6,11,7,10] => [1,1,3,1,1,3,2]
[4,3,1,2,12,11,8,5,10,6,7,9] => [1,1,3,1,1,2,3]
[4,3,1,2,12,11,10,9,5,6,7,8] => [1,1,3,1,1,1,4]
[6,3,1,5,2,4,8,7,10,9,12,11] => [1,1,2,3,2,2,1]
[6,3,1,5,2,4,8,7,12,11,9,10] => [1,1,2,3,2,1,2]
[6,3,1,5,2,4,10,9,7,8,12,11] => [1,1,2,3,1,3,1]
[6,3,1,5,2,4,12,9,7,11,8,10] => [1,1,2,3,1,2,2]
[6,3,1,5,2,4,12,11,10,7,8,9] => [1,1,2,3,1,1,3]
[8,3,1,5,2,7,4,6,10,9,12,11] => [1,1,2,2,3,2,1]
[8,3,1,5,2,7,4,6,12,11,9,10] => [1,1,2,2,3,1,2]
[10,3,1,5,2,7,4,9,6,8,12,11] => [1,1,2,2,2,3,1]
[12,3,1,5,2,7,4,9,6,11,8,10] => [1,1,2,2,2,2,2]
[12,3,1,5,2,7,4,11,10,6,8,9] => [1,1,2,2,2,1,3]
[10,3,1,5,2,9,8,4,6,7,12,11] => [1,1,2,2,1,4,1]
[12,3,1,5,2,9,8,4,6,11,7,10] => [1,1,2,2,1,3,2]
[12,3,1,5,2,11,8,4,10,6,7,9] => [1,1,2,2,1,2,3]
[12,3,1,5,2,11,10,9,4,6,7,8] => [1,1,2,2,1,1,4]
[8,3,1,7,6,2,4,5,10,9,12,11] => [1,1,2,1,4,2,1]
[8,3,1,7,6,2,4,5,12,11,9,10] => [1,1,2,1,4,1,2]
[10,3,1,7,6,2,4,9,5,8,12,11] => [1,1,2,1,3,3,1]
[12,3,1,7,6,2,4,9,5,11,8,10] => [1,1,2,1,3,2,2]
[12,3,1,7,6,2,4,11,10,5,8,9] => [1,1,2,1,3,1,3]
[10,3,1,9,6,2,8,4,5,7,12,11] => [1,1,2,1,2,4,1]
[12,3,1,9,6,2,8,4,5,11,7,10] => [1,1,2,1,2,3,2]
[12,3,1,11,6,2,8,4,10,5,7,9] => [1,1,2,1,2,2,3]
[12,3,1,11,6,2,10,9,4,5,7,8] => [1,1,2,1,2,1,4]
[10,3,1,9,8,7,2,4,5,6,12,11] => [1,1,2,1,1,5,1]
[12,3,1,9,8,7,2,4,5,11,6,10] => [1,1,2,1,1,4,2]
[12,3,1,11,8,7,2,4,10,5,6,9] => [1,1,2,1,1,3,3]
[12,3,1,11,10,7,2,9,4,5,6,8] => [1,1,2,1,1,2,4]
[12,3,1,11,10,9,8,2,4,5,6,7] => [1,1,2,1,1,1,5]
[6,5,4,1,2,3,8,7,10,9,12,11] => [1,1,1,4,2,2,1]
[6,5,4,1,2,3,8,7,12,11,9,10] => [1,1,1,4,2,1,2]
[6,5,4,1,2,3,10,9,7,8,12,11] => [1,1,1,4,1,3,1]
[6,5,4,1,2,3,12,9,7,11,8,10] => [1,1,1,4,1,2,2]
[6,5,4,1,2,3,12,11,10,7,8,9] => [1,1,1,4,1,1,3]
[8,5,4,1,2,7,3,6,10,9,12,11] => [1,1,1,3,3,2,1]
[8,5,4,1,2,7,3,6,12,11,9,10] => [1,1,1,3,3,1,2]
[10,5,4,1,2,7,3,9,6,8,12,11] => [1,1,1,3,2,3,1]
[12,5,4,1,2,7,3,9,6,11,8,10] => [1,1,1,3,2,2,2]
[12,5,4,1,2,7,3,11,10,6,8,9] => [1,1,1,3,2,1,3]
[10,5,4,1,2,9,8,3,6,7,12,11] => [1,1,1,3,1,4,1]
[12,5,4,1,2,9,8,3,6,11,7,10] => [1,1,1,3,1,3,2]
[12,5,4,1,2,11,8,3,10,6,7,9] => [1,1,1,3,1,2,3]
[12,5,4,1,2,11,10,9,3,6,7,8] => [1,1,1,3,1,1,4]
[8,7,4,1,6,2,3,5,10,9,12,11] => [1,1,1,2,4,2,1]
[8,7,4,1,6,2,3,5,12,11,9,10] => [1,1,1,2,4,1,2]
[10,7,4,1,6,2,3,9,5,8,12,11] => [1,1,1,2,3,3,1]
[12,7,4,1,6,2,3,9,5,11,8,10] => [1,1,1,2,3,2,2]
[12,7,4,1,6,2,3,11,10,5,8,9] => [1,1,1,2,3,1,3]
[10,9,4,1,6,2,8,3,5,7,12,11] => [1,1,1,2,2,4,1]
[12,9,4,1,6,2,8,3,5,11,7,10] => [1,1,1,2,2,3,2]
[12,11,4,1,6,2,8,3,10,5,7,9] => [1,1,1,2,2,2,3]
[12,11,4,1,6,2,10,9,3,5,7,8] => [1,1,1,2,2,1,4]
[10,9,4,1,8,7,2,3,5,6,12,11] => [1,1,1,2,1,5,1]
[12,9,4,1,8,7,2,3,5,11,6,10] => [1,1,1,2,1,4,2]
[12,11,4,1,8,7,2,3,10,5,6,9] => [1,1,1,2,1,3,3]
[12,11,4,1,10,7,2,9,3,5,6,8] => [1,1,1,2,1,2,4]
[12,11,4,1,10,9,8,2,3,5,6,7] => [1,1,1,2,1,1,5]
[8,7,6,5,1,2,3,4,10,9,12,11] => [1,1,1,1,5,2,1]
[8,7,6,5,1,2,3,4,12,11,9,10] => [1,1,1,1,5,1,2]
[10,7,6,5,1,2,3,9,4,8,12,11] => [1,1,1,1,4,3,1]
[12,7,6,5,1,2,3,9,4,11,8,10] => [1,1,1,1,4,2,2]
[12,7,6,5,1,2,3,11,10,4,8,9] => [1,1,1,1,4,1,3]
[10,9,6,5,1,2,8,3,4,7,12,11] => [1,1,1,1,3,4,1]
[12,9,6,5,1,2,8,3,4,11,7,10] => [1,1,1,1,3,3,2]
[12,11,6,5,1,2,8,3,10,4,7,9] => [1,1,1,1,3,2,3]
[12,11,6,5,1,2,10,9,3,4,7,8] => [1,1,1,1,3,1,4]
[10,9,8,5,1,7,2,3,4,6,12,11] => [1,1,1,1,2,5,1]
[12,9,8,5,1,7,2,3,4,11,6,10] => [1,1,1,1,2,4,2]
[12,11,8,5,1,7,2,3,10,4,6,9] => [1,1,1,1,2,3,3]
[12,11,10,5,1,7,2,9,3,4,6,8] => [1,1,1,1,2,2,4]
[12,11,10,5,1,9,8,2,3,4,6,7] => [1,1,1,1,2,1,5]
[10,9,8,7,6,1,2,3,4,5,12,11] => [1,1,1,1,1,6,1]
[12,9,8,7,6,1,2,3,4,11,5,10] => [1,1,1,1,1,5,2]
[12,11,8,7,6,1,2,3,10,4,5,9] => [1,1,1,1,1,4,3]
[12,11,10,7,6,1,2,9,3,4,5,8] => [1,1,1,1,1,3,4]
[12,11,10,9,6,1,8,2,3,4,5,7] => [1,1,1,1,1,2,5]
[12,11,10,9,8,7,1,2,3,4,5,6] => [1,1,1,1,1,1,6]
[10,12,9,11,7,8,5,6,3,4,1,2] => [2,2,2,2,2,2]
[11,12,8,10,7,9,5,6,3,4,1,2] => [2,2,2,2,2,2]
[10,12,8,11,7,9,5,6,3,4,1,2] => [2,2,2,2,2,2]
[9,12,8,11,7,10,5,6,3,4,1,2] => [2,2,2,2,2,2]
[11,12,9,10,6,8,5,7,3,4,1,2] => [2,2,2,2,2,2]
[10,12,9,11,6,8,5,7,3,4,1,2] => [2,2,2,2,2,2]
[11,12,8,10,6,9,5,7,3,4,1,2] => [2,2,2,2,2,2]
[10,12,8,11,6,9,5,7,3,4,1,2] => [2,2,2,2,2,2]
[9,12,8,11,6,10,5,7,3,4,1,2] => [2,2,2,2,2,2]
[11,12,7,10,6,9,5,8,3,4,1,2] => [2,2,2,2,2,2]
[10,12,7,11,6,9,5,8,3,4,1,2] => [2,2,2,2,2,2]
[9,12,7,11,6,10,5,8,3,4,1,2] => [2,2,2,2,2,2]
[8,12,7,11,6,10,5,9,3,4,1,2] => [2,2,2,2,2,2]
[11,12,9,10,7,8,4,6,3,5,1,2] => [2,2,2,2,2,2]
[10,12,9,11,7,8,4,6,3,5,1,2] => [2,2,2,2,2,2]
[11,12,8,10,7,9,4,6,3,5,1,2] => [2,2,2,2,2,2]
[10,12,8,11,7,9,4,6,3,5,1,2] => [2,2,2,2,2,2]
[9,12,8,11,7,10,4,6,3,5,1,2] => [2,2,2,2,2,2]
[11,12,9,10,6,8,4,7,3,5,1,2] => [2,2,2,2,2,2]
[10,12,9,11,6,8,4,7,3,5,1,2] => [2,2,2,2,2,2]
[11,12,8,10,6,9,4,7,3,5,1,2] => [2,2,2,2,2,2]
[10,12,8,11,6,9,4,7,3,5,1,2] => [2,2,2,2,2,2]
[9,12,8,11,6,10,4,7,3,5,1,2] => [2,2,2,2,2,2]
[11,12,7,10,6,9,4,8,3,5,1,2] => [2,2,2,2,2,2]
[10,12,7,11,6,9,4,8,3,5,1,2] => [2,2,2,2,2,2]
[9,12,7,11,6,10,4,8,3,5,1,2] => [2,2,2,2,2,2]
[8,12,7,11,6,10,4,9,3,5,1,2] => [2,2,2,2,2,2]
[11,12,9,10,5,8,4,7,3,6,1,2] => [2,2,2,2,2,2]
[10,12,9,11,5,8,4,7,3,6,1,2] => [2,2,2,2,2,2]
[11,12,8,10,5,9,4,7,3,6,1,2] => [2,2,2,2,2,2]
[10,12,8,11,5,9,4,7,3,6,1,2] => [2,2,2,2,2,2]
[9,12,8,11,5,10,4,7,3,6,1,2] => [2,2,2,2,2,2]
[11,12,7,10,5,9,4,8,3,6,1,2] => [2,2,2,2,2,2]
[10,12,7,11,5,9,4,8,3,6,1,2] => [2,2,2,2,2,2]
[9,12,7,11,5,10,4,8,3,6,1,2] => [2,2,2,2,2,2]
[8,12,7,11,5,10,4,9,3,6,1,2] => [2,2,2,2,2,2]
[11,12,6,10,5,9,4,8,3,7,1,2] => [2,2,2,2,2,2]
[10,12,6,11,5,9,4,8,3,7,1,2] => [2,2,2,2,2,2]
[9,12,6,11,5,10,4,8,3,7,1,2] => [2,2,2,2,2,2]
[8,12,6,11,5,10,4,9,3,7,1,2] => [2,2,2,2,2,2]
[7,12,6,11,5,10,4,9,3,8,1,2] => [2,2,2,2,2,2]
[11,12,9,10,7,8,5,6,2,4,1,3] => [2,2,2,2,2,2]
[10,12,9,11,7,8,5,6,2,4,1,3] => [2,2,2,2,2,2]
[11,12,8,10,7,9,5,6,2,4,1,3] => [2,2,2,2,2,2]
[10,12,8,11,7,9,5,6,2,4,1,3] => [2,2,2,2,2,2]
[9,12,8,11,7,10,5,6,2,4,1,3] => [2,2,2,2,2,2]
[11,12,9,10,6,8,5,7,2,4,1,3] => [2,2,2,2,2,2]
[10,12,9,11,6,8,5,7,2,4,1,3] => [2,2,2,2,2,2]
[11,12,8,10,6,9,5,7,2,4,1,3] => [2,2,2,2,2,2]
[10,12,8,11,6,9,5,7,2,4,1,3] => [2,2,2,2,2,2]
[9,12,8,11,6,10,5,7,2,4,1,3] => [2,2,2,2,2,2]
[11,12,7,10,6,9,5,8,2,4,1,3] => [2,2,2,2,2,2]
[10,12,7,11,6,9,5,8,2,4,1,3] => [2,2,2,2,2,2]
[9,12,7,11,6,10,5,8,2,4,1,3] => [2,2,2,2,2,2]
[8,12,7,11,6,10,5,9,2,4,1,3] => [2,2,2,2,2,2]
[11,12,9,10,7,8,4,6,2,5,1,3] => [2,2,2,2,2,2]
[10,12,9,11,7,8,4,6,2,5,1,3] => [2,2,2,2,2,2]
[11,12,8,10,7,9,4,6,2,5,1,3] => [2,2,2,2,2,2]
[10,12,8,11,7,9,4,6,2,5,1,3] => [2,2,2,2,2,2]
[9,12,8,11,7,10,4,6,2,5,1,3] => [2,2,2,2,2,2]
[11,12,9,10,6,8,4,7,2,5,1,3] => [2,2,2,2,2,2]
[10,12,9,11,6,8,4,7,2,5,1,3] => [2,2,2,2,2,2]
[11,12,8,10,6,9,4,7,2,5,1,3] => [2,2,2,2,2,2]
[10,12,8,11,6,9,4,7,2,5,1,3] => [2,2,2,2,2,2]
[9,12,8,11,6,10,4,7,2,5,1,3] => [2,2,2,2,2,2]
[11,12,7,10,6,9,4,8,2,5,1,3] => [2,2,2,2,2,2]
[10,12,7,11,6,9,4,8,2,5,1,3] => [2,2,2,2,2,2]
[9,12,7,11,6,10,4,8,2,5,1,3] => [2,2,2,2,2,2]
[8,12,7,11,6,10,4,9,2,5,1,3] => [2,2,2,2,2,2]
[11,12,9,10,5,8,4,7,2,6,1,3] => [2,2,2,2,2,2]
[10,12,9,11,5,8,4,7,2,6,1,3] => [2,2,2,2,2,2]
[11,12,8,10,5,9,4,7,2,6,1,3] => [2,2,2,2,2,2]
[10,12,8,11,5,9,4,7,2,6,1,3] => [2,2,2,2,2,2]
[9,12,8,11,5,10,4,7,2,6,1,3] => [2,2,2,2,2,2]
[11,12,7,10,5,9,4,8,2,6,1,3] => [2,2,2,2,2,2]
[10,12,7,11,5,9,4,8,2,6,1,3] => [2,2,2,2,2,2]
[9,12,7,11,5,10,4,8,2,6,1,3] => [2,2,2,2,2,2]
[8,12,7,11,5,10,4,9,2,6,1,3] => [2,2,2,2,2,2]
[11,12,6,10,5,9,4,8,2,7,1,3] => [2,2,2,2,2,2]
[10,12,6,11,5,9,4,8,2,7,1,3] => [2,2,2,2,2,2]
[9,12,6,11,5,10,4,8,2,7,1,3] => [2,2,2,2,2,2]
[8,12,6,11,5,10,4,9,2,7,1,3] => [2,2,2,2,2,2]
[7,12,6,11,5,10,4,9,2,8,1,3] => [2,2,2,2,2,2]
[11,12,9,10,7,8,3,6,2,5,1,4] => [2,2,2,2,2,2]
[10,12,9,11,7,8,3,6,2,5,1,4] => [2,2,2,2,2,2]
[11,12,8,10,7,9,3,6,2,5,1,4] => [2,2,2,2,2,2]
[10,12,8,11,7,9,3,6,2,5,1,4] => [2,2,2,2,2,2]
[9,12,8,11,7,10,3,6,2,5,1,4] => [2,2,2,2,2,2]
[11,12,9,10,6,8,3,7,2,5,1,4] => [2,2,2,2,2,2]
[10,12,9,11,6,8,3,7,2,5,1,4] => [2,2,2,2,2,2]
[11,12,8,10,6,9,3,7,2,5,1,4] => [2,2,2,2,2,2]
[10,12,8,11,6,9,3,7,2,5,1,4] => [2,2,2,2,2,2]
[9,12,8,11,6,10,3,7,2,5,1,4] => [2,2,2,2,2,2]
[11,12,7,10,6,9,3,8,2,5,1,4] => [2,2,2,2,2,2]
[10,12,7,11,6,9,3,8,2,5,1,4] => [2,2,2,2,2,2]
[9,12,7,11,6,10,3,8,2,5,1,4] => [2,2,2,2,2,2]
[8,12,7,11,6,10,3,9,2,5,1,4] => [2,2,2,2,2,2]
[11,12,9,10,5,8,3,7,2,6,1,4] => [2,2,2,2,2,2]
[10,12,9,11,5,8,3,7,2,6,1,4] => [2,2,2,2,2,2]
[11,12,8,10,5,9,3,7,2,6,1,4] => [2,2,2,2,2,2]
[10,12,8,11,5,9,3,7,2,6,1,4] => [2,2,2,2,2,2]
[9,12,8,11,5,10,3,7,2,6,1,4] => [2,2,2,2,2,2]
[11,12,7,10,5,9,3,8,2,6,1,4] => [2,2,2,2,2,2]
[10,12,7,11,5,9,3,8,2,6,1,4] => [2,2,2,2,2,2]
[9,12,7,11,5,10,3,8,2,6,1,4] => [2,2,2,2,2,2]
[8,12,7,11,5,10,3,9,2,6,1,4] => [2,2,2,2,2,2]
[11,12,6,10,5,9,3,8,2,7,1,4] => [2,2,2,2,2,2]
[10,12,6,11,5,9,3,8,2,7,1,4] => [2,2,2,2,2,2]
[9,12,6,11,5,10,3,8,2,7,1,4] => [2,2,2,2,2,2]
[8,12,6,11,5,10,3,9,2,7,1,4] => [2,2,2,2,2,2]
[7,12,6,11,5,10,3,9,2,8,1,4] => [2,2,2,2,2,2]
[11,12,9,10,4,8,3,7,2,6,1,5] => [2,2,2,2,2,2]
[10,12,9,11,4,8,3,7,2,6,1,5] => [2,2,2,2,2,2]
[11,12,8,10,4,9,3,7,2,6,1,5] => [2,2,2,2,2,2]
[10,12,8,11,4,9,3,7,2,6,1,5] => [2,2,2,2,2,2]
[9,12,8,11,4,10,3,7,2,6,1,5] => [2,2,2,2,2,2]
[11,12,7,10,4,9,3,8,2,6,1,5] => [2,2,2,2,2,2]
[10,12,7,11,4,9,3,8,2,6,1,5] => [2,2,2,2,2,2]
[9,12,7,11,4,10,3,8,2,6,1,5] => [2,2,2,2,2,2]
[8,12,7,11,4,10,3,9,2,6,1,5] => [2,2,2,2,2,2]
[11,12,6,10,4,9,3,8,2,7,1,5] => [2,2,2,2,2,2]
[10,12,6,11,4,9,3,8,2,7,1,5] => [2,2,2,2,2,2]
[9,12,6,11,4,10,3,8,2,7,1,5] => [2,2,2,2,2,2]
[8,12,6,11,4,10,3,9,2,7,1,5] => [2,2,2,2,2,2]
[7,12,6,11,4,10,3,9,2,8,1,5] => [2,2,2,2,2,2]
[11,12,5,10,4,9,3,8,2,7,1,6] => [2,2,2,2,2,2]
[10,12,5,11,4,9,3,8,2,7,1,6] => [2,2,2,2,2,2]
[9,12,5,11,4,10,3,8,2,7,1,6] => [2,2,2,2,2,2]
[8,12,5,11,4,10,3,9,2,7,1,6] => [2,2,2,2,2,2]
[7,12,5,11,4,10,3,9,2,8,1,6] => [2,2,2,2,2,2]
[6,12,5,11,4,10,3,9,2,8,1,7] => [2,2,2,2,2,2]
[11,9,7,5,3,1,12,10,8,6,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,7,5,3,1,12,11,8,6,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,7,5,3,1,12,10,9,6,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,7,5,3,1,12,11,9,6,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,7,5,3,1,12,11,10,6,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,6,5,3,1,12,10,8,7,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,6,5,3,1,12,11,8,7,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,6,5,3,1,12,10,9,7,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,6,5,3,1,12,11,9,7,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,6,5,3,1,12,11,10,7,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,7,6,5,3,1,12,10,9,8,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,7,6,5,3,1,12,11,9,8,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[9,7,6,5,3,1,12,11,10,8,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[8,7,6,5,3,1,12,11,10,9,4,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,7,4,3,1,12,10,8,6,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,7,4,3,1,12,11,8,6,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,7,4,3,1,12,10,9,6,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,7,4,3,1,12,11,9,6,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,7,4,3,1,12,11,10,6,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,6,4,3,1,12,10,8,7,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,6,4,3,1,12,11,8,7,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,6,4,3,1,12,10,9,7,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,6,4,3,1,12,11,9,7,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,6,4,3,1,12,11,10,7,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,7,6,4,3,1,12,10,9,8,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,7,6,4,3,1,12,11,9,8,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[9,7,6,4,3,1,12,11,10,8,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[8,7,6,4,3,1,12,11,10,9,5,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,5,4,3,1,12,10,8,7,6,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,5,4,3,1,12,11,8,7,6,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,5,4,3,1,12,10,9,7,6,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,5,4,3,1,12,11,9,7,6,2] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,5,4,3,1,12,11,10,7,6,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,7,5,4,3,1,12,10,9,8,6,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,7,5,4,3,1,12,11,9,8,6,2] => [1,1,1,1,1,2,1,1,1,1,1]
[9,7,5,4,3,1,12,11,10,8,6,2] => [1,1,1,1,1,2,1,1,1,1,1]
[8,7,5,4,3,1,12,11,10,9,6,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,6,5,4,3,1,12,10,9,8,7,2] => [1,1,1,1,1,2,1,1,1,1,1]
[10,6,5,4,3,1,12,11,9,8,7,2] => [1,1,1,1,1,2,1,1,1,1,1]
[9,6,5,4,3,1,12,11,10,8,7,2] => [1,1,1,1,1,2,1,1,1,1,1]
[8,6,5,4,3,1,12,11,10,9,7,2] => [1,1,1,1,1,2,1,1,1,1,1]
[7,6,5,4,3,1,12,11,10,9,8,2] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,7,5,2,1,12,10,8,6,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,7,5,2,1,12,11,8,6,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,7,5,2,1,12,10,9,6,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,7,5,2,1,12,11,9,6,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,7,5,2,1,12,11,10,6,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,6,5,2,1,12,10,8,7,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,6,5,2,1,12,11,8,7,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,6,5,2,1,12,10,9,7,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,6,5,2,1,12,11,9,7,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,6,5,2,1,12,11,10,7,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,7,6,5,2,1,12,10,9,8,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,7,6,5,2,1,12,11,9,8,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[9,7,6,5,2,1,12,11,10,8,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[8,7,6,5,2,1,12,11,10,9,4,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,7,4,2,1,12,10,8,6,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,7,4,2,1,12,11,8,6,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,7,4,2,1,12,10,9,6,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,7,4,2,1,12,11,9,6,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,7,4,2,1,12,11,10,6,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,6,4,2,1,12,10,8,7,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,6,4,2,1,12,11,8,7,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,6,4,2,1,12,10,9,7,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,6,4,2,1,12,11,9,7,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,6,4,2,1,12,11,10,7,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,7,6,4,2,1,12,10,9,8,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,7,6,4,2,1,12,11,9,8,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[9,7,6,4,2,1,12,11,10,8,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[8,7,6,4,2,1,12,11,10,9,5,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,5,4,2,1,12,10,8,7,6,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,5,4,2,1,12,11,8,7,6,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,5,4,2,1,12,10,9,7,6,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,5,4,2,1,12,11,9,7,6,3] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,5,4,2,1,12,11,10,7,6,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,7,5,4,2,1,12,10,9,8,6,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,7,5,4,2,1,12,11,9,8,6,3] => [1,1,1,1,1,2,1,1,1,1,1]
[9,7,5,4,2,1,12,11,10,8,6,3] => [1,1,1,1,1,2,1,1,1,1,1]
[8,7,5,4,2,1,12,11,10,9,6,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,6,5,4,2,1,12,10,9,8,7,3] => [1,1,1,1,1,2,1,1,1,1,1]
[10,6,5,4,2,1,12,11,9,8,7,3] => [1,1,1,1,1,2,1,1,1,1,1]
[9,6,5,4,2,1,12,11,10,8,7,3] => [1,1,1,1,1,2,1,1,1,1,1]
[8,6,5,4,2,1,12,11,10,9,7,3] => [1,1,1,1,1,2,1,1,1,1,1]
[7,6,5,4,2,1,12,11,10,9,8,3] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,7,3,2,1,12,10,8,6,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,7,3,2,1,12,11,8,6,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,7,3,2,1,12,10,9,6,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,7,3,2,1,12,11,9,6,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,7,3,2,1,12,11,10,6,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,6,3,2,1,12,10,8,7,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,6,3,2,1,12,11,8,7,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,6,3,2,1,12,10,9,7,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,6,3,2,1,12,11,9,7,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,6,3,2,1,12,11,10,7,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[11,7,6,3,2,1,12,10,9,8,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[10,7,6,3,2,1,12,11,9,8,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[9,7,6,3,2,1,12,11,10,8,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[8,7,6,3,2,1,12,11,10,9,5,4] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,5,3,2,1,12,10,8,7,6,4] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,5,3,2,1,12,11,8,7,6,4] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,5,3,2,1,12,10,9,7,6,4] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,5,3,2,1,12,11,9,7,6,4] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,5,3,2,1,12,11,10,7,6,4] => [1,1,1,1,1,2,1,1,1,1,1]
[11,7,5,3,2,1,12,10,9,8,6,4] => [1,1,1,1,1,2,1,1,1,1,1]
[10,7,5,3,2,1,12,11,9,8,6,4] => [1,1,1,1,1,2,1,1,1,1,1]
[9,7,5,3,2,1,12,11,10,8,6,4] => [1,1,1,1,1,2,1,1,1,1,1]
[8,7,5,3,2,1,12,11,10,9,6,4] => [1,1,1,1,1,2,1,1,1,1,1]
[11,6,5,3,2,1,12,10,9,8,7,4] => [1,1,1,1,1,2,1,1,1,1,1]
[10,6,5,3,2,1,12,11,9,8,7,4] => [1,1,1,1,1,2,1,1,1,1,1]
[9,6,5,3,2,1,12,11,10,8,7,4] => [1,1,1,1,1,2,1,1,1,1,1]
[8,6,5,3,2,1,12,11,10,9,7,4] => [1,1,1,1,1,2,1,1,1,1,1]
[7,6,5,3,2,1,12,11,10,9,8,4] => [1,1,1,1,1,2,1,1,1,1,1]
[11,9,4,3,2,1,12,10,8,7,6,5] => [1,1,1,1,1,2,1,1,1,1,1]
[10,9,4,3,2,1,12,11,8,7,6,5] => [1,1,1,1,1,2,1,1,1,1,1]
[11,8,4,3,2,1,12,10,9,7,6,5] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,4,3,2,1,12,11,9,7,6,5] => [1,1,1,1,1,2,1,1,1,1,1]
[9,8,4,3,2,1,12,11,10,7,6,5] => [1,1,1,1,1,2,1,1,1,1,1]
[11,7,4,3,2,1,12,10,9,8,6,5] => [1,1,1,1,1,2,1,1,1,1,1]
[10,7,4,3,2,1,12,11,9,8,6,5] => [1,1,1,1,1,2,1,1,1,1,1]
[9,7,4,3,2,1,12,11,10,8,6,5] => [1,1,1,1,1,2,1,1,1,1,1]
[8,7,4,3,2,1,12,11,10,9,6,5] => [1,1,1,1,1,2,1,1,1,1,1]
[11,6,4,3,2,1,12,10,9,8,7,5] => [1,1,1,1,1,2,1,1,1,1,1]
[10,6,4,3,2,1,12,11,9,8,7,5] => [1,1,1,1,1,2,1,1,1,1,1]
[9,6,4,3,2,1,12,11,10,8,7,5] => [1,1,1,1,1,2,1,1,1,1,1]
[8,6,4,3,2,1,12,11,10,9,7,5] => [1,1,1,1,1,2,1,1,1,1,1]
[7,6,4,3,2,1,12,11,10,9,8,5] => [1,1,1,1,1,2,1,1,1,1,1]
[11,5,4,3,2,1,12,10,9,8,7,6] => [1,1,1,1,1,2,1,1,1,1,1]
[10,5,4,3,2,1,12,11,9,8,7,6] => [1,1,1,1,1,2,1,1,1,1,1]
[9,5,4,3,2,1,12,11,10,8,7,6] => [1,1,1,1,1,2,1,1,1,1,1]
[8,5,4,3,2,1,12,11,10,9,7,6] => [1,1,1,1,1,2,1,1,1,1,1]
[7,5,4,3,2,1,12,11,10,9,8,6] => [1,1,1,1,1,2,1,1,1,1,1]
[7,1,8,2,9,3,10,4,11,5,12,6] => [1,2,2,2,2,2,1]
[7,1,8,2,9,3,10,4,11,12,5,6] => [1,2,2,2,3,2]
[7,1,8,2,9,3,10,11,4,5,12,6] => [1,2,2,3,3,1]
[7,1,8,2,9,3,10,11,4,12,5,6] => [1,2,2,3,2,2]
[7,1,8,2,9,3,10,11,12,4,5,6] => [1,2,2,4,3]
[7,1,8,2,9,10,3,4,11,5,12,6] => [1,2,3,3,2,1]
[7,1,8,2,9,10,3,4,11,12,5,6] => [1,2,3,4,2]
[7,1,8,2,9,10,3,11,4,5,12,6] => [1,2,3,2,3,1]
[7,1,8,2,9,10,3,11,4,12,5,6] => [1,2,3,2,2,2]
[7,1,8,2,9,10,3,11,12,4,5,6] => [1,2,3,3,3]
[7,1,8,2,9,10,11,3,4,5,12,6] => [1,2,4,4,1]
[7,1,8,2,9,10,11,3,4,12,5,6] => [1,2,4,3,2]
[7,1,8,2,9,10,11,3,12,4,5,6] => [1,2,4,2,3]
[7,1,8,2,9,10,11,12,3,4,5,6] => [1,2,5,4]
[7,1,8,9,2,3,10,4,11,5,12,6] => [1,3,3,2,2,1]
[7,1,8,9,2,3,10,4,11,12,5,6] => [1,3,3,3,2]
[7,1,8,9,2,3,10,11,4,5,12,6] => [1,3,4,3,1]
[7,1,8,9,2,3,10,11,4,12,5,6] => [1,3,4,2,2]
[7,1,8,9,2,3,10,11,12,4,5,6] => [1,3,5,3]
[7,1,8,9,2,10,3,4,11,5,12,6] => [1,3,2,3,2,1]
[7,1,8,9,2,10,3,4,11,12,5,6] => [1,3,2,4,2]
[7,1,8,9,2,10,3,11,4,5,12,6] => [1,3,2,2,3,1]
[7,1,8,9,2,10,3,11,4,12,5,6] => [1,3,2,2,2,2]
[7,1,8,9,2,10,3,11,12,4,5,6] => [1,3,2,3,3]
[7,1,8,9,2,10,11,3,4,5,12,6] => [1,3,3,4,1]
[7,1,8,9,2,10,11,3,4,12,5,6] => [1,3,3,3,2]
[7,1,8,9,2,10,11,3,12,4,5,6] => [1,3,3,2,3]
[7,1,8,9,2,10,11,12,3,4,5,6] => [1,3,4,4]
[7,1,8,9,10,2,3,4,11,5,12,6] => [1,4,4,2,1]
[7,1,8,9,10,2,3,4,11,12,5,6] => [1,4,5,2]
[7,1,8,9,10,2,3,11,4,5,12,6] => [1,4,3,3,1]
[7,1,8,9,10,2,3,11,4,12,5,6] => [1,4,3,2,2]
[7,1,8,9,10,2,3,11,12,4,5,6] => [1,4,4,3]
[7,1,8,9,10,2,11,3,4,5,12,6] => [1,4,2,4,1]
[7,1,8,9,10,2,11,3,4,12,5,6] => [1,4,2,3,2]
[7,1,8,9,10,2,11,3,12,4,5,6] => [1,4,2,2,3]
[7,1,8,9,10,2,11,12,3,4,5,6] => [1,4,3,4]
[7,1,8,9,10,11,2,3,4,5,12,6] => [1,5,5,1]
[7,1,8,9,10,11,2,3,4,12,5,6] => [1,5,4,2]
[7,1,8,9,10,11,2,3,12,4,5,6] => [1,5,3,3]
[7,1,8,9,10,11,2,12,3,4,5,6] => [1,5,2,4]
[7,1,8,9,10,11,12,2,3,4,5,6] => [1,6,5]
[7,8,1,2,9,3,10,4,11,5,12,6] => [2,3,2,2,2,1]
[7,8,1,2,9,3,10,4,11,12,5,6] => [2,3,2,3,2]
[7,8,1,2,9,3,10,11,4,5,12,6] => [2,3,3,3,1]
[7,8,1,2,9,3,10,11,4,12,5,6] => [2,3,3,2,2]
[7,8,1,2,9,3,10,11,12,4,5,6] => [2,3,4,3]
[7,8,1,2,9,10,3,4,11,5,12,6] => [2,4,3,2,1]
[7,8,1,2,9,10,3,4,11,12,5,6] => [2,4,4,2]
[7,8,1,2,9,10,3,11,4,5,12,6] => [2,4,2,3,1]
[7,8,1,2,9,10,3,11,4,12,5,6] => [2,4,2,2,2]
[7,8,1,2,9,10,3,11,12,4,5,6] => [2,4,3,3]
[7,8,1,2,9,10,11,3,4,5,12,6] => [2,5,4,1]
[7,8,1,2,9,10,11,3,4,12,5,6] => [2,5,3,2]
[7,8,1,2,9,10,11,3,12,4,5,6] => [2,5,2,3]
[7,8,1,2,9,10,11,12,3,4,5,6] => [2,6,4]
[7,8,1,9,2,3,10,4,11,5,12,6] => [2,2,3,2,2,1]
[7,8,1,9,2,3,10,4,11,12,5,6] => [2,2,3,3,2]
[7,8,1,9,2,3,10,11,4,5,12,6] => [2,2,4,3,1]
[7,8,1,9,2,3,10,11,4,12,5,6] => [2,2,4,2,2]
[7,8,1,9,2,3,10,11,12,4,5,6] => [2,2,5,3]
[7,8,1,9,2,10,3,4,11,5,12,6] => [2,2,2,3,2,1]
[7,8,1,9,2,10,3,4,11,12,5,6] => [2,2,2,4,2]
[7,8,1,9,2,10,3,11,4,5,12,6] => [2,2,2,2,3,1]
[7,8,1,9,2,10,3,11,4,12,5,6] => [2,2,2,2,2,2]
[7,8,1,9,2,10,3,11,12,4,5,6] => [2,2,2,3,3]
[7,8,1,9,2,10,11,3,4,5,12,6] => [2,2,3,4,1]
[7,8,1,9,2,10,11,3,4,12,5,6] => [2,2,3,3,2]
[7,8,1,9,2,10,11,3,12,4,5,6] => [2,2,3,2,3]
[7,8,1,9,2,10,11,12,3,4,5,6] => [2,2,4,4]
[7,8,1,9,10,2,3,4,11,5,12,6] => [2,3,4,2,1]
[7,8,1,9,10,2,3,4,11,12,5,6] => [2,3,5,2]
[7,8,1,9,10,2,3,11,4,5,12,6] => [2,3,3,3,1]
[7,8,1,9,10,2,3,11,4,12,5,6] => [2,3,3,2,2]
[7,8,1,9,10,2,3,11,12,4,5,6] => [2,3,4,3]
[7,8,1,9,10,2,11,3,4,5,12,6] => [2,3,2,4,1]
[7,8,1,9,10,2,11,3,4,12,5,6] => [2,3,2,3,2]
[7,8,1,9,10,2,11,3,12,4,5,6] => [2,3,2,2,3]
[7,8,1,9,10,2,11,12,3,4,5,6] => [2,3,3,4]
[7,8,1,9,10,11,2,3,4,5,12,6] => [2,4,5,1]
[7,8,1,9,10,11,2,3,4,12,5,6] => [2,4,4,2]
[7,8,1,9,10,11,2,3,12,4,5,6] => [2,4,3,3]
[7,8,1,9,10,11,2,12,3,4,5,6] => [2,4,2,4]
[7,8,1,9,10,11,12,2,3,4,5,6] => [2,5,5]
[7,8,9,1,2,3,10,4,11,5,12,6] => [3,4,2,2,1]
[7,8,9,1,2,3,10,4,11,12,5,6] => [3,4,3,2]
[7,8,9,1,2,3,10,11,4,5,12,6] => [3,5,3,1]
[7,8,9,1,2,3,10,11,4,12,5,6] => [3,5,2,2]
[7,8,9,1,2,3,10,11,12,4,5,6] => [3,6,3]
[7,8,9,1,2,10,3,4,11,5,12,6] => [3,3,3,2,1]
[7,8,9,1,2,10,3,4,11,12,5,6] => [3,3,4,2]
[7,8,9,1,2,10,3,11,4,5,12,6] => [3,3,2,3,1]
[7,8,9,1,2,10,3,11,4,12,5,6] => [3,3,2,2,2]
[7,8,9,1,2,10,3,11,12,4,5,6] => [3,3,3,3]
[7,8,9,1,2,10,11,3,4,5,12,6] => [3,4,4,1]
[7,8,9,1,2,10,11,3,4,12,5,6] => [3,4,3,2]
[7,8,9,1,2,10,11,3,12,4,5,6] => [3,4,2,3]
[7,8,9,1,2,10,11,12,3,4,5,6] => [3,5,4]
[7,8,9,1,10,2,3,4,11,5,12,6] => [3,2,4,2,1]
[7,8,9,1,10,2,3,4,11,12,5,6] => [3,2,5,2]
[7,8,9,1,10,2,3,11,4,5,12,6] => [3,2,3,3,1]
[7,8,9,1,10,2,3,11,4,12,5,6] => [3,2,3,2,2]
[7,8,9,1,10,2,3,11,12,4,5,6] => [3,2,4,3]
[7,8,9,1,10,2,11,3,4,5,12,6] => [3,2,2,4,1]
[7,8,9,1,10,2,11,3,4,12,5,6] => [3,2,2,3,2]
[7,8,9,1,10,2,11,3,12,4,5,6] => [3,2,2,2,3]
[7,8,9,1,10,2,11,12,3,4,5,6] => [3,2,3,4]
[7,8,9,1,10,11,2,3,4,5,12,6] => [3,3,5,1]
[7,8,9,1,10,11,2,3,4,12,5,6] => [3,3,4,2]
[7,8,9,1,10,11,2,3,12,4,5,6] => [3,3,3,3]
[7,8,9,1,10,11,2,12,3,4,5,6] => [3,3,2,4]
[7,8,9,1,10,11,12,2,3,4,5,6] => [3,4,5]
[7,8,9,10,1,2,3,4,11,5,12,6] => [4,5,2,1]
[7,8,9,10,1,2,3,4,11,12,5,6] => [4,6,2]
[7,8,9,10,1,2,3,11,4,5,12,6] => [4,4,3,1]
[7,8,9,10,1,2,3,11,4,12,5,6] => [4,4,2,2]
[7,8,9,10,1,2,3,11,12,4,5,6] => [4,5,3]
[7,8,9,10,1,2,11,3,4,5,12,6] => [4,3,4,1]
[7,8,9,10,1,2,11,3,4,12,5,6] => [4,3,3,2]
[7,8,9,10,1,2,11,3,12,4,5,6] => [4,3,2,3]
[7,8,9,10,1,2,11,12,3,4,5,6] => [4,4,4]
[7,8,9,10,1,11,2,3,4,5,12,6] => [4,2,5,1]
[7,8,9,10,1,11,2,3,4,12,5,6] => [4,2,4,2]
[7,8,9,10,1,11,2,3,12,4,5,6] => [4,2,3,3]
[7,8,9,10,1,11,2,12,3,4,5,6] => [4,2,2,4]
[7,8,9,10,1,11,12,2,3,4,5,6] => [4,3,5]
[7,8,9,10,11,1,2,3,4,5,12,6] => [5,6,1]
[7,8,9,10,11,1,2,3,4,12,5,6] => [5,5,2]
[7,8,9,10,11,1,2,3,12,4,5,6] => [5,4,3]
[7,8,9,10,11,1,2,12,3,4,5,6] => [5,3,4]
[7,8,9,10,11,1,12,2,3,4,5,6] => [5,2,5]
[9,10,11,12,7,8,5,6,3,4,1,2] => [4,2,2,2,2]
[11,12,7,8,9,10,5,6,3,4,1,2] => [2,4,2,2,2]
[7,10,11,8,9,12,5,6,3,4,1,2] => [3,3,2,2,2]
[7,8,9,10,11,12,5,6,3,4,1,2] => [6,2,2,2]
[11,12,9,10,5,6,7,8,3,4,1,2] => [2,2,4,2,2]
[9,10,11,12,5,6,7,8,3,4,1,2] => [4,4,2,2]
[11,12,5,8,9,6,7,10,3,4,1,2] => [2,3,3,2,2]
[5,10,11,8,9,6,7,12,3,4,1,2] => [3,2,3,2,2]
[5,8,9,10,11,6,7,12,3,4,1,2] => [5,3,2,2]
[11,12,5,6,7,8,9,10,3,4,1,2] => [2,6,2,2]
[5,10,11,6,7,8,9,12,3,4,1,2] => [3,5,2,2]
[5,6,9,10,7,8,11,12,3,4,1,2] => [4,4,2,2]
[5,6,7,8,9,10,11,12,3,4,1,2] => [8,2,2]
[11,12,9,10,7,8,3,4,5,6,1,2] => [2,2,2,4,2]
[9,10,11,12,7,8,3,4,5,6,1,2] => [4,2,4,2]
[11,12,7,8,9,10,3,4,5,6,1,2] => [2,4,4,2]
[7,10,11,8,9,12,3,4,5,6,1,2] => [3,3,4,2]
[7,8,9,10,11,12,3,4,5,6,1,2] => [6,4,2]
[11,12,9,10,3,6,7,4,5,8,1,2] => [2,2,3,3,2]
[9,10,11,12,3,6,7,4,5,8,1,2] => [4,3,3,2]
[11,12,3,8,9,6,7,4,5,10,1,2] => [2,3,2,3,2]
[3,10,11,8,9,6,7,4,5,12,1,2] => [3,2,2,3,2]
[3,8,9,10,11,6,7,4,5,12,1,2] => [5,2,3,2]
[11,12,3,6,7,8,9,4,5,10,1,2] => [2,5,3,2]
[3,10,11,6,7,8,9,4,5,12,1,2] => [3,4,3,2]
[3,6,9,10,7,8,11,4,5,12,1,2] => [4,3,3,2]
[3,6,7,8,9,10,11,4,5,12,1,2] => [7,3,2]
[11,12,9,10,3,4,5,6,7,8,1,2] => [2,2,6,2]
[9,10,11,12,3,4,5,6,7,8,1,2] => [4,6,2]
[11,12,3,8,9,4,5,6,7,10,1,2] => [2,3,5,2]
[3,10,11,8,9,4,5,6,7,12,1,2] => [3,2,5,2]
[3,8,9,10,11,4,5,6,7,12,1,2] => [5,5,2]
[11,12,3,4,7,8,5,6,9,10,1,2] => [2,4,4,2]
[3,10,11,4,7,8,5,6,9,12,1,2] => [3,3,4,2]
[3,4,9,10,7,8,5,6,11,12,1,2] => [4,2,4,2]
[3,4,7,8,9,10,5,6,11,12,1,2] => [6,4,2]
[11,12,3,4,5,6,7,8,9,10,1,2] => [2,8,2]
[3,10,11,4,5,6,7,8,9,12,1,2] => [3,7,2]
[3,4,9,10,5,6,7,8,11,12,1,2] => [4,6,2]
[3,4,5,8,9,6,7,10,11,12,1,2] => [5,5,2]
[3,4,5,6,7,8,9,10,11,12,1,2] => [10,2]
[11,12,9,10,7,8,5,6,1,2,3,4] => [2,2,2,2,4]
[9,10,11,12,7,8,5,6,1,2,3,4] => [4,2,2,4]
[11,12,7,8,9,10,5,6,1,2,3,4] => [2,4,2,4]
[7,10,11,8,9,12,5,6,1,2,3,4] => [3,3,2,4]
[7,8,9,10,11,12,5,6,1,2,3,4] => [6,2,4]
[11,12,9,10,5,6,7,8,1,2,3,4] => [2,2,4,4]
[9,10,11,12,5,6,7,8,1,2,3,4] => [4,4,4]
[11,12,5,8,9,6,7,10,1,2,3,4] => [2,3,3,4]
[5,10,11,8,9,6,7,12,1,2,3,4] => [3,2,3,4]
[5,8,9,10,11,6,7,12,1,2,3,4] => [5,3,4]
[11,12,5,6,7,8,9,10,1,2,3,4] => [2,6,4]
[5,10,11,6,7,8,9,12,1,2,3,4] => [3,5,4]
[5,6,9,10,7,8,11,12,1,2,3,4] => [4,4,4]
[5,6,7,8,9,10,11,12,1,2,3,4] => [8,4]
[11,12,9,10,7,8,1,4,5,2,3,6] => [2,2,2,3,3]
[9,10,11,12,7,8,1,4,5,2,3,6] => [4,2,3,3]
[11,12,7,8,9,10,1,4,5,2,3,6] => [2,4,3,3]
[7,10,11,8,9,12,1,4,5,2,3,6] => [3,3,3,3]
[7,8,9,10,11,12,1,4,5,2,3,6] => [6,3,3]
[11,12,9,10,1,6,7,4,5,2,3,8] => [2,2,3,2,3]
[9,10,11,12,1,6,7,4,5,2,3,8] => [4,3,2,3]
[11,12,1,8,9,6,7,4,5,2,3,10] => [2,3,2,2,3]
[1,10,11,8,9,6,7,4,5,2,3,12] => [3,2,2,2,3]
[1,8,9,10,11,6,7,4,5,2,3,12] => [5,2,2,3]
[11,12,1,6,7,8,9,4,5,2,3,10] => [2,5,2,3]
[1,10,11,6,7,8,9,4,5,2,3,12] => [3,4,2,3]
[1,6,9,10,7,8,11,4,5,2,3,12] => [4,3,2,3]
[1,6,7,8,9,10,11,4,5,2,3,12] => [7,2,3]
[11,12,9,10,1,4,5,6,7,2,3,8] => [2,2,5,3]
[9,10,11,12,1,4,5,6,7,2,3,8] => [4,5,3]
[11,12,1,8,9,4,5,6,7,2,3,10] => [2,3,4,3]
[1,10,11,8,9,4,5,6,7,2,3,12] => [3,2,4,3]
[1,8,9,10,11,4,5,6,7,2,3,12] => [5,4,3]
[11,12,1,4,7,8,5,6,9,2,3,10] => [2,4,3,3]
[1,10,11,4,7,8,5,6,9,2,3,12] => [3,3,3,3]
[1,4,9,10,7,8,5,6,11,2,3,12] => [4,2,3,3]
[1,4,7,8,9,10,5,6,11,2,3,12] => [6,3,3]
[11,12,1,4,5,6,7,8,9,2,3,10] => [2,7,3]
[1,10,11,4,5,6,7,8,9,2,3,12] => [3,6,3]
[1,4,9,10,5,6,7,8,11,2,3,12] => [4,5,3]
[1,4,5,8,9,6,7,10,11,2,3,12] => [5,4,3]
[1,4,5,6,7,8,9,10,11,2,3,12] => [9,3]
[11,12,9,10,7,8,1,2,3,4,5,6] => [2,2,2,6]
[9,10,11,12,7,8,1,2,3,4,5,6] => [4,2,6]
[11,12,7,8,9,10,1,2,3,4,5,6] => [2,4,6]
[7,10,11,8,9,12,1,2,3,4,5,6] => [3,3,6]
[11,12,9,10,1,6,7,2,3,4,5,8] => [2,2,3,5]
[9,10,11,12,1,6,7,2,3,4,5,8] => [4,3,5]
[11,12,1,8,9,6,7,2,3,4,5,10] => [2,3,2,5]
[1,10,11,8,9,6,7,2,3,4,5,12] => [3,2,2,5]
[1,8,9,10,11,6,7,2,3,4,5,12] => [5,2,5]
[11,12,1,6,7,8,9,2,3,4,5,10] => [2,5,5]
[1,10,11,6,7,8,9,2,3,4,5,12] => [3,4,5]
[1,6,9,10,7,8,11,2,3,4,5,12] => [4,3,5]
[1,6,7,8,9,10,11,2,3,4,5,12] => [7,5]
[11,12,9,10,1,2,5,6,3,4,7,8] => [2,2,4,4]
[9,10,11,12,1,2,5,6,3,4,7,8] => [4,4,4]
[11,12,1,8,9,2,5,6,3,4,7,10] => [2,3,3,4]
[1,10,11,8,9,2,5,6,3,4,7,12] => [3,2,3,4]
[1,8,9,10,11,2,5,6,3,4,7,12] => [5,3,4]
[11,12,1,2,7,8,5,6,3,4,9,10] => [2,4,2,4]
[1,10,11,2,7,8,5,6,3,4,9,12] => [3,3,2,4]
[1,2,9,10,7,8,5,6,3,4,11,12] => [4,2,2,4]
[1,2,7,8,9,10,5,6,3,4,11,12] => [6,2,4]
[11,12,1,2,5,6,7,8,3,4,9,10] => [2,6,4]
[1,10,11,2,5,6,7,8,3,4,9,12] => [3,5,4]
[1,2,9,10,5,6,7,8,3,4,11,12] => [4,4,4]
[1,2,5,8,9,6,7,10,3,4,11,12] => [5,3,4]
[1,2,5,6,7,8,9,10,3,4,11,12] => [8,4]
[11,12,9,10,1,2,3,4,5,6,7,8] => [2,2,8]
[9,10,11,12,1,2,3,4,5,6,7,8] => [4,8]
[11,12,1,8,9,2,3,4,5,6,7,10] => [2,3,7]
[1,10,11,8,9,2,3,4,5,6,7,12] => [3,2,7]
[1,8,9,10,11,2,3,4,5,6,7,12] => [5,7]
[11,12,1,2,7,8,3,4,5,6,9,10] => [2,4,6]
[1,10,11,2,7,8,3,4,5,6,9,12] => [3,3,6]
[1,2,9,10,7,8,3,4,5,6,11,12] => [4,2,6]
[1,2,7,8,9,10,3,4,5,6,11,12] => [6,6]
[11,12,1,2,3,6,7,4,5,8,9,10] => [2,5,5]
[1,10,11,2,3,6,7,4,5,8,9,12] => [3,4,5]
[1,2,9,10,3,6,7,4,5,8,11,12] => [4,3,5]
[1,2,3,8,9,6,7,4,5,10,11,12] => [5,2,5]
[1,2,3,6,7,8,9,4,5,10,11,12] => [7,5]
[11,12,1,2,3,4,5,6,7,8,9,10] => [2,10]
[1,10,11,2,3,4,5,6,7,8,9,12] => [3,9]
[1,2,9,10,3,4,5,6,7,8,11,12] => [4,8]
[1,2,3,8,9,4,5,6,7,10,11,12] => [5,7]
[1,2,3,4,7,8,5,6,9,10,11,12] => [6,6]
[1,2,3,4,5,6,7,8,9,10,11,12] => [12]
[11,1,12,10,9,8,7,6,5,4,3,2] => [1,2,1,1,1,1,1,1,1,1,1]
[2,12,11,10,9,8,7,6,5,4,1,3] => [2,1,1,1,1,1,1,1,1,2]
[11,1,2,3,4,5,6,7,8,9,12,10] => [1,10,1]
[2,12,1,3,4,5,6,7,8,9,10,11] => [2,10]
[11,12,9,10,7,8,5,6,2,1,3,4] => [2,2,2,2,1,3]
[11,12,9,10,7,8,4,3,5,6,1,2] => [2,2,2,1,3,2]
[11,12,9,10,7,8,4,2,5,1,3,6] => [2,2,2,1,2,3]
[11,12,9,10,7,8,3,2,1,4,5,6] => [2,2,2,1,1,4]
[11,12,9,10,6,5,7,8,3,4,1,2] => [2,2,1,3,2,2]
[11,12,9,10,6,5,7,8,2,1,3,4] => [2,2,1,3,1,3]
[11,12,9,10,6,4,7,3,5,8,1,2] => [2,2,1,2,3,2]
[11,12,9,10,6,4,7,2,5,1,3,8] => [2,2,1,2,2,3]
[11,12,9,10,6,3,7,2,1,4,5,8] => [2,2,1,2,1,4]
[11,12,9,10,5,4,3,6,7,8,1,2] => [2,2,1,1,4,2]
[11,12,9,10,5,4,2,6,7,1,3,8] => [2,2,1,1,3,3]
[11,12,9,10,5,3,2,6,1,4,7,8] => [2,2,1,1,2,4]
[11,12,9,10,4,3,2,1,5,6,7,8] => [2,2,1,1,1,5]
[11,12,8,7,9,10,5,6,3,4,1,2] => [2,1,3,2,2,2]
[11,12,8,7,9,10,5,6,2,1,3,4] => [2,1,3,2,1,3]
[11,12,8,7,9,10,4,3,5,6,1,2] => [2,1,3,1,3,2]
[11,12,8,7,9,10,4,2,5,1,3,6] => [2,1,3,1,2,3]
[11,12,8,7,9,10,3,2,1,4,5,6] => [2,1,3,1,1,4]
[11,12,8,6,9,5,7,10,3,4,1,2] => [2,1,2,3,2,2]
[11,12,8,6,9,5,7,10,2,1,3,4] => [2,1,2,3,1,3]
[11,12,8,6,9,4,7,3,5,10,1,2] => [2,1,2,2,3,2]
[11,12,8,6,9,4,7,2,5,1,3,10] => [2,1,2,2,2,3]
[11,12,8,6,9,3,7,2,1,4,5,10] => [2,1,2,2,1,4]
[11,12,8,5,9,4,3,6,7,10,1,2] => [2,1,2,1,4,2]
[11,12,8,5,9,4,2,6,7,1,3,10] => [2,1,2,1,3,3]
[11,12,8,5,9,3,2,6,1,4,7,10] => [2,1,2,1,2,4]
[11,12,8,4,9,3,2,1,5,6,7,10] => [2,1,2,1,1,5]
[11,12,7,6,5,8,9,10,3,4,1,2] => [2,1,1,4,2,2]
[11,12,7,6,5,8,9,10,2,1,3,4] => [2,1,1,4,1,3]
[11,12,7,6,4,8,9,3,5,10,1,2] => [2,1,1,3,3,2]
[11,12,7,6,4,8,9,2,5,1,3,10] => [2,1,1,3,2,3]
[11,12,7,6,3,8,9,2,1,4,5,10] => [2,1,1,3,1,4]
[11,12,7,5,4,8,3,6,9,10,1,2] => [2,1,1,2,4,2]
[11,12,7,5,4,8,2,6,9,1,3,10] => [2,1,1,2,3,3]
[11,12,7,5,3,8,2,6,1,4,9,10] => [2,1,1,2,2,4]
[11,12,7,4,3,8,2,1,5,6,9,10] => [2,1,1,2,1,5]
[11,12,6,5,4,3,7,8,9,10,1,2] => [2,1,1,1,5,2]
[11,12,6,5,4,2,7,8,9,1,3,10] => [2,1,1,1,4,3]
[11,12,6,5,3,2,7,8,1,4,9,10] => [2,1,1,1,3,4]
[11,12,6,4,3,2,7,1,5,8,9,10] => [2,1,1,1,2,5]
[11,12,5,4,3,2,1,6,7,8,9,10] => [2,1,1,1,1,6]
[10,9,11,12,7,8,5,6,3,4,1,2] => [1,3,2,2,2,2]
[10,9,11,12,7,8,5,6,2,1,3,4] => [1,3,2,2,1,3]
[10,9,11,12,7,8,4,3,5,6,1,2] => [1,3,2,1,3,2]
[10,9,11,12,7,8,4,2,5,1,3,6] => [1,3,2,1,2,3]
[10,9,11,12,7,8,3,2,1,4,5,6] => [1,3,2,1,1,4]
[10,9,11,12,6,5,7,8,3,4,1,2] => [1,3,1,3,2,2]
[10,9,11,12,6,5,7,8,2,1,3,4] => [1,3,1,3,1,3]
[10,9,11,12,6,4,7,3,5,8,1,2] => [1,3,1,2,3,2]
[10,9,11,12,6,4,7,2,5,1,3,8] => [1,3,1,2,2,3]
[10,9,11,12,6,3,7,2,1,4,5,8] => [1,3,1,2,1,4]
[10,9,11,12,5,4,3,6,7,8,1,2] => [1,3,1,1,4,2]
[10,9,11,12,5,4,2,6,7,1,3,8] => [1,3,1,1,3,3]
[10,9,11,12,5,3,2,6,1,4,7,8] => [1,3,1,1,2,4]
[10,9,11,12,4,3,2,1,5,6,7,8] => [1,3,1,1,1,5]
[10,8,11,7,9,12,5,6,3,4,1,2] => [1,2,3,2,2,2]
[10,8,11,7,9,12,5,6,2,1,3,4] => [1,2,3,2,1,3]
[10,8,11,7,9,12,4,3,5,6,1,2] => [1,2,3,1,3,2]
[10,8,11,7,9,12,4,2,5,1,3,6] => [1,2,3,1,2,3]
[10,8,11,7,9,12,3,2,1,4,5,6] => [1,2,3,1,1,4]
[10,8,11,6,9,5,7,12,3,4,1,2] => [1,2,2,3,2,2]
[10,8,11,6,9,5,7,12,2,1,3,4] => [1,2,2,3,1,3]
[10,8,11,6,9,4,7,3,5,12,1,2] => [1,2,2,2,3,2]
[10,8,11,6,9,4,7,2,5,1,3,12] => [1,2,2,2,2,3]
[10,8,11,6,9,3,7,2,1,4,5,12] => [1,2,2,2,1,4]
[10,8,11,5,9,4,3,6,7,12,1,2] => [1,2,2,1,4,2]
[10,8,11,5,9,4,2,6,7,1,3,12] => [1,2,2,1,3,3]
[10,8,11,5,9,3,2,6,1,4,7,12] => [1,2,2,1,2,4]
[10,8,11,4,9,3,2,1,5,6,7,12] => [1,2,2,1,1,5]
[10,7,11,6,5,8,9,12,3,4,1,2] => [1,2,1,4,2,2]
[10,7,11,6,5,8,9,12,2,1,3,4] => [1,2,1,4,1,3]
[10,7,11,6,4,8,9,3,5,12,1,2] => [1,2,1,3,3,2]
[10,7,11,6,4,8,9,2,5,1,3,12] => [1,2,1,3,2,3]
[10,7,11,6,3,8,9,2,1,4,5,12] => [1,2,1,3,1,4]
[10,7,11,5,4,8,3,6,9,12,1,2] => [1,2,1,2,4,2]
[10,7,11,5,4,8,2,6,9,1,3,12] => [1,2,1,2,3,3]
[10,7,11,5,3,8,2,6,1,4,9,12] => [1,2,1,2,2,4]
[10,7,11,4,3,8,2,1,5,6,9,12] => [1,2,1,2,1,5]
[10,6,11,5,4,3,7,8,9,12,1,2] => [1,2,1,1,5,2]
[10,6,11,5,4,2,7,8,9,1,3,12] => [1,2,1,1,4,3]
[10,6,11,5,3,2,7,8,1,4,9,12] => [1,2,1,1,3,4]
[10,6,11,4,3,2,7,1,5,8,9,12] => [1,2,1,1,2,5]
[10,5,11,4,3,2,1,6,7,8,9,12] => [1,2,1,1,1,6]
[9,8,7,10,11,12,5,6,3,4,1,2] => [1,1,4,2,2,2]
[9,8,7,10,11,12,5,6,2,1,3,4] => [1,1,4,2,1,3]
[9,8,7,10,11,12,4,3,5,6,1,2] => [1,1,4,1,3,2]
[9,8,7,10,11,12,4,2,5,1,3,6] => [1,1,4,1,2,3]
[9,8,7,10,11,12,3,2,1,4,5,6] => [1,1,4,1,1,4]
[9,8,6,10,11,5,7,12,3,4,1,2] => [1,1,3,3,2,2]
[9,8,6,10,11,5,7,12,2,1,3,4] => [1,1,3,3,1,3]
[9,8,6,10,11,4,7,3,5,12,1,2] => [1,1,3,2,3,2]
[9,8,6,10,11,4,7,2,5,1,3,12] => [1,1,3,2,2,3]
[9,8,6,10,11,3,7,2,1,4,5,12] => [1,1,3,2,1,4]
[9,8,5,10,11,4,3,6,7,12,1,2] => [1,1,3,1,4,2]
[9,8,5,10,11,4,2,6,7,1,3,12] => [1,1,3,1,3,3]
[9,8,5,10,11,3,2,6,1,4,7,12] => [1,1,3,1,2,4]
[9,8,4,10,11,3,2,1,5,6,7,12] => [1,1,3,1,1,5]
[9,7,6,10,5,8,11,12,3,4,1,2] => [1,1,2,4,2,2]
[9,7,6,10,5,8,11,12,2,1,3,4] => [1,1,2,4,1,3]
[9,7,6,10,4,8,11,3,5,12,1,2] => [1,1,2,3,3,2]
[9,7,6,10,4,8,11,2,5,1,3,12] => [1,1,2,3,2,3]
[9,7,6,10,3,8,11,2,1,4,5,12] => [1,1,2,3,1,4]
[9,7,5,10,4,8,3,6,11,12,1,2] => [1,1,2,2,4,2]
[9,7,5,10,4,8,2,6,11,1,3,12] => [1,1,2,2,3,3]
[9,7,5,10,3,8,2,6,1,4,11,12] => [1,1,2,2,2,4]
[9,7,4,10,3,8,2,1,5,6,11,12] => [1,1,2,2,1,5]
[9,6,5,10,4,3,7,8,11,12,1,2] => [1,1,2,1,5,2]
[9,6,5,10,4,2,7,8,11,1,3,12] => [1,1,2,1,4,3]
[9,6,5,10,3,2,7,8,1,4,11,12] => [1,1,2,1,3,4]
[9,6,4,10,3,2,7,1,5,8,11,12] => [1,1,2,1,2,5]
[9,5,4,10,3,2,1,6,7,8,11,12] => [1,1,2,1,1,6]
[8,7,6,5,9,10,11,12,3,4,1,2] => [1,1,1,5,2,2]
[8,7,6,5,9,10,11,12,2,1,3,4] => [1,1,1,5,1,3]
[8,7,6,4,9,10,11,3,5,12,1,2] => [1,1,1,4,3,2]
[8,7,6,4,9,10,11,2,5,1,3,12] => [1,1,1,4,2,3]
[8,7,6,3,9,10,11,2,1,4,5,12] => [1,1,1,4,1,4]
[8,7,5,4,9,10,3,6,11,12,1,2] => [1,1,1,3,4,2]
[8,7,5,4,9,10,2,6,11,1,3,12] => [1,1,1,3,3,3]
[8,7,5,3,9,10,2,6,1,4,11,12] => [1,1,1,3,2,4]
[8,7,4,3,9,10,2,1,5,6,11,12] => [1,1,1,3,1,5]
[8,6,5,4,9,3,7,10,11,12,1,2] => [1,1,1,2,5,2]
[8,6,5,4,9,2,7,10,11,1,3,12] => [1,1,1,2,4,3]
[8,6,5,3,9,2,7,10,1,4,11,12] => [1,1,1,2,3,4]
[8,6,4,3,9,2,7,1,5,10,11,12] => [1,1,1,2,2,5]
[8,5,4,3,9,2,1,6,7,10,11,12] => [1,1,1,2,1,6]
[7,6,5,4,3,8,9,10,11,12,1,2] => [1,1,1,1,6,2]
[7,6,5,4,2,8,9,10,11,1,3,12] => [1,1,1,1,5,3]
[7,6,5,3,2,8,9,10,1,4,11,12] => [1,1,1,1,4,4]
[7,6,4,3,2,8,9,1,5,10,11,12] => [1,1,1,1,3,5]
[7,5,4,3,2,8,1,6,9,10,11,12] => [1,1,1,1,2,6]
[6,5,4,3,2,1,7,8,9,10,11,12] => [1,1,1,1,1,7]
[12,2,1,4,3,6,5,8,7,10,9,11] => [1,1,2,2,2,2,2]
[12,2,1,4,3,6,5,8,7,9,11,10] => [1,1,2,2,2,3,1]
[12,2,1,4,3,6,5,7,9,10,8,11] => [1,1,2,2,4,2]
[12,2,1,4,3,6,5,7,9,8,11,10] => [1,1,2,2,3,2,1]
[12,2,1,4,3,6,5,7,8,10,11,9] => [1,1,2,2,5,1]
[12,2,1,4,3,5,7,8,6,10,9,11] => [1,1,2,4,2,2]
[12,2,1,4,3,5,7,8,6,9,11,10] => [1,1,2,4,3,1]
[12,2,1,4,3,5,7,6,9,10,8,11] => [1,1,2,3,3,2]
[12,2,1,4,3,5,7,6,9,8,11,10] => [1,1,2,3,2,2,1]
[12,2,1,4,3,5,7,6,8,10,11,9] => [1,1,2,3,4,1]
[12,2,1,4,3,5,6,8,9,10,7,11] => [1,1,2,6,2]
[12,2,1,4,3,5,6,8,9,7,11,10] => [1,1,2,5,2,1]
[12,2,1,4,3,5,6,8,7,10,11,9] => [1,1,2,4,3,1]
[12,2,1,4,3,5,6,7,9,10,11,8] => [1,1,2,7,1]
[12,2,1,3,5,6,4,8,7,10,9,11] => [1,1,4,2,2,2]
[12,2,1,3,5,6,4,8,7,9,11,10] => [1,1,4,2,3,1]
[12,2,1,3,5,6,4,7,9,10,8,11] => [1,1,4,4,2]
[12,2,1,3,5,6,4,7,9,8,11,10] => [1,1,4,3,2,1]
[12,2,1,3,5,6,4,7,8,10,11,9] => [1,1,4,5,1]
[12,2,1,3,5,4,7,8,6,10,9,11] => [1,1,3,3,2,2]
[12,2,1,3,5,4,7,8,6,9,11,10] => [1,1,3,3,3,1]
[12,2,1,3,5,4,7,6,9,10,8,11] => [1,1,3,2,3,2]
[12,2,1,3,5,4,7,6,9,8,11,10] => [1,1,3,2,2,2,1]
[12,2,1,3,5,4,7,6,8,10,11,9] => [1,1,3,2,4,1]
[12,2,1,3,5,4,6,8,9,10,7,11] => [1,1,3,5,2]
[12,2,1,3,5,4,6,8,9,7,11,10] => [1,1,3,4,2,1]
[12,2,1,3,5,4,6,8,7,10,11,9] => [1,1,3,3,3,1]
[12,2,1,3,5,4,6,7,9,10,11,8] => [1,1,3,6,1]
[12,2,1,3,4,6,7,8,5,10,9,11] => [1,1,6,2,2]
[12,2,1,3,4,6,7,8,5,9,11,10] => [1,1,6,3,1]
[12,2,1,3,4,6,7,5,9,10,8,11] => [1,1,5,3,2]
[12,2,1,3,4,6,7,5,9,8,11,10] => [1,1,5,2,2,1]
[12,2,1,3,4,6,7,5,8,10,11,9] => [1,1,5,4,1]
[12,2,1,3,4,6,5,8,9,10,7,11] => [1,1,4,4,2]
[12,2,1,3,4,6,5,8,9,7,11,10] => [1,1,4,3,2,1]
[12,2,1,3,4,6,5,8,7,10,11,9] => [1,1,4,2,3,1]
[12,2,1,3,4,6,5,7,9,10,11,8] => [1,1,4,5,1]
[12,2,1,3,4,5,7,8,9,10,6,11] => [1,1,8,2]
[12,2,1,3,4,5,7,8,9,6,11,10] => [1,1,7,2,1]
[12,2,1,3,4,5,7,8,6,10,11,9] => [1,1,6,3,1]
[12,2,1,3,4,5,7,6,9,10,11,8] => [1,1,5,4,1]
[12,2,1,3,4,5,6,8,9,10,11,7] => [1,1,9,1]
[12,1,3,4,2,6,5,8,7,10,9,11] => [1,3,2,2,2,2]
[12,1,3,4,2,6,5,8,7,9,11,10] => [1,3,2,2,3,1]
[12,1,3,4,2,6,5,7,9,10,8,11] => [1,3,2,4,2]
[12,1,3,4,2,6,5,7,9,8,11,10] => [1,3,2,3,2,1]
[12,1,3,4,2,6,5,7,8,10,11,9] => [1,3,2,5,1]
[12,1,3,4,2,5,7,8,6,10,9,11] => [1,3,4,2,2]
[12,1,3,4,2,5,7,8,6,9,11,10] => [1,3,4,3,1]
[12,1,3,4,2,5,7,6,9,10,8,11] => [1,3,3,3,2]
[12,1,3,4,2,5,7,6,9,8,11,10] => [1,3,3,2,2,1]
[12,1,3,4,2,5,7,6,8,10,11,9] => [1,3,3,4,1]
[12,1,3,4,2,5,6,8,9,10,7,11] => [1,3,6,2]
[12,1,3,4,2,5,6,8,9,7,11,10] => [1,3,5,2,1]
[12,1,3,4,2,5,6,8,7,10,11,9] => [1,3,4,3,1]
[12,1,3,4,2,5,6,7,9,10,11,8] => [1,3,7,1]
[12,1,3,2,5,6,4,8,7,10,9,11] => [1,2,3,2,2,2]
[12,1,3,2,5,6,4,8,7,9,11,10] => [1,2,3,2,3,1]
[12,1,3,2,5,6,4,7,9,10,8,11] => [1,2,3,4,2]
[12,1,3,2,5,6,4,7,9,8,11,10] => [1,2,3,3,2,1]
[12,1,3,2,5,6,4,7,8,10,11,9] => [1,2,3,5,1]
[12,1,3,2,5,4,7,8,6,10,9,11] => [1,2,2,3,2,2]
[12,1,3,2,5,4,7,8,6,9,11,10] => [1,2,2,3,3,1]
[12,1,3,2,5,4,7,6,9,10,8,11] => [1,2,2,2,3,2]
[12,1,3,2,5,4,7,6,9,8,11,10] => [1,2,2,2,2,2,1]
[12,1,3,2,5,4,7,6,8,10,11,9] => [1,2,2,2,4,1]
[12,1,3,2,5,4,6,8,9,10,7,11] => [1,2,2,5,2]
[12,1,3,2,5,4,6,8,9,7,11,10] => [1,2,2,4,2,1]
[12,1,3,2,5,4,6,8,7,10,11,9] => [1,2,2,3,3,1]
[12,1,3,2,5,4,6,7,9,10,11,8] => [1,2,2,6,1]
[12,1,3,2,4,6,7,8,5,10,9,11] => [1,2,5,2,2]
[12,1,3,2,4,6,7,8,5,9,11,10] => [1,2,5,3,1]
[12,1,3,2,4,6,7,5,9,10,8,11] => [1,2,4,3,2]
[12,1,3,2,4,6,7,5,9,8,11,10] => [1,2,4,2,2,1]
[12,1,3,2,4,6,7,5,8,10,11,9] => [1,2,4,4,1]
[12,1,3,2,4,6,5,8,9,10,7,11] => [1,2,3,4,2]
[12,1,3,2,4,6,5,8,9,7,11,10] => [1,2,3,3,2,1]
[12,1,3,2,4,6,5,8,7,10,11,9] => [1,2,3,2,3,1]
[12,1,3,2,4,6,5,7,9,10,11,8] => [1,2,3,5,1]
[12,1,3,2,4,5,7,8,9,10,6,11] => [1,2,7,2]
[12,1,3,2,4,5,7,8,9,6,11,10] => [1,2,6,2,1]
[12,1,3,2,4,5,7,8,6,10,11,9] => [1,2,5,3,1]
[12,1,3,2,4,5,7,6,9,10,11,8] => [1,2,4,4,1]
[12,1,3,2,4,5,6,8,9,10,11,7] => [1,2,8,1]
[12,1,2,4,5,6,3,8,7,10,9,11] => [1,5,2,2,2]
[12,1,2,4,5,6,3,8,7,9,11,10] => [1,5,2,3,1]
[12,1,2,4,5,6,3,7,9,10,8,11] => [1,5,4,2]
[12,1,2,4,5,6,3,7,9,8,11,10] => [1,5,3,2,1]
[12,1,2,4,5,6,3,7,8,10,11,9] => [1,5,5,1]
[12,1,2,4,5,3,7,8,6,10,9,11] => [1,4,3,2,2]
[12,1,2,4,5,3,7,8,6,9,11,10] => [1,4,3,3,1]
[12,1,2,4,5,3,7,6,9,10,8,11] => [1,4,2,3,2]
[12,1,2,4,5,3,7,6,9,8,11,10] => [1,4,2,2,2,1]
[12,1,2,4,5,3,7,6,8,10,11,9] => [1,4,2,4,1]
[12,1,2,4,5,3,6,8,9,10,7,11] => [1,4,5,2]
[12,1,2,4,5,3,6,8,9,7,11,10] => [1,4,4,2,1]
[12,1,2,4,5,3,6,8,7,10,11,9] => [1,4,3,3,1]
[12,1,2,4,5,3,6,7,9,10,11,8] => [1,4,6,1]
[12,1,2,4,3,6,7,8,5,10,9,11] => [1,3,4,2,2]
[12,1,2,4,3,6,7,8,5,9,11,10] => [1,3,4,3,1]
[12,1,2,4,3,6,7,5,9,10,8,11] => [1,3,3,3,2]
[12,1,2,4,3,6,7,5,9,8,11,10] => [1,3,3,2,2,1]
[12,1,2,4,3,6,7,5,8,10,11,9] => [1,3,3,4,1]
[12,1,2,4,3,6,5,8,9,10,7,11] => [1,3,2,4,2]
[12,1,2,4,3,6,5,8,9,7,11,10] => [1,3,2,3,2,1]
[12,1,2,4,3,6,5,8,7,10,11,9] => [1,3,2,2,3,1]
[12,1,2,4,3,6,5,7,9,10,11,8] => [1,3,2,5,1]
[12,1,2,4,3,5,7,8,9,10,6,11] => [1,3,6,2]
[12,1,2,4,3,5,7,8,9,6,11,10] => [1,3,5,2,1]
[12,1,2,4,3,5,7,8,6,10,11,9] => [1,3,4,3,1]
[12,1,2,4,3,5,7,6,9,10,11,8] => [1,3,3,4,1]
[12,1,2,4,3,5,6,8,9,10,11,7] => [1,3,7,1]
[12,1,2,3,5,6,7,8,4,10,9,11] => [1,7,2,2]
[12,1,2,3,5,6,7,8,4,9,11,10] => [1,7,3,1]
[12,1,2,3,5,6,7,4,9,10,8,11] => [1,6,3,2]
[12,1,2,3,5,6,7,4,9,8,11,10] => [1,6,2,2,1]
[12,1,2,3,5,6,7,4,8,10,11,9] => [1,6,4,1]
[12,1,2,3,5,6,4,8,9,10,7,11] => [1,5,4,2]
[12,1,2,3,5,6,4,8,9,7,11,10] => [1,5,3,2,1]
[12,1,2,3,5,6,4,8,7,10,11,9] => [1,5,2,3,1]
[12,1,2,3,5,6,4,7,9,10,11,8] => [1,5,5,1]
[12,1,2,3,5,4,7,8,9,10,6,11] => [1,4,5,2]
[12,1,2,3,5,4,7,8,9,6,11,10] => [1,4,4,2,1]
[12,1,2,3,5,4,7,8,6,10,11,9] => [1,4,3,3,1]
[12,1,2,3,5,4,7,6,9,10,11,8] => [1,4,2,4,1]
[12,1,2,3,5,4,6,8,9,10,11,7] => [1,4,6,1]
[12,1,2,3,4,6,7,8,9,10,5,11] => [1,9,2]
[12,1,2,3,4,6,7,8,9,5,11,10] => [1,8,2,1]
[12,1,2,3,4,6,7,8,5,10,11,9] => [1,7,3,1]
[12,1,2,3,4,6,7,5,9,10,11,8] => [1,6,4,1]
[12,1,2,3,4,6,5,8,9,10,11,7] => [1,5,5,1]
[12,1,2,3,4,5,7,8,9,10,11,6] => [1,10,1]
[11,1,2,3,4,5,6,7,8,9,10,12] => [1,11]
[12,11,2,4,6,8,10,1,3,5,7,9] => [1,1,5,5]
[10,9,2,4,6,8,12,1,3,5,7,11] => [1,1,5,5]
[2,12,9,11,4,6,8,10,1,3,5,7] => [2,2,4,4]
[12,11,10,9,2,4,6,8,1,3,5,7] => [1,1,1,1,4,4]
[8,7,2,4,6,10,12,1,3,5,9,11] => [1,1,5,5]
[8,12,7,11,2,4,6,10,1,3,5,9] => [2,2,4,4]
[2,10,7,9,4,6,8,12,1,3,5,11] => [2,2,4,4]
[2,4,12,7,9,11,6,8,10,1,3,5] => [3,3,3,3]
[12,11,2,10,7,9,4,6,8,1,3,5] => [1,1,2,2,3,3]
[10,9,8,7,2,4,6,12,1,3,5,11] => [1,1,1,1,4,4]
[12,9,2,8,7,11,4,6,10,1,3,5] => [1,1,2,2,3,3]
[8,12,7,11,10,9,2,4,6,1,3,5] => [2,2,1,1,3,3]
[12,11,10,9,8,7,2,4,6,1,3,5] => [1,1,1,1,1,1,3,3]
[6,5,2,4,8,10,12,1,3,7,9,11] => [1,1,5,5]
[6,12,5,11,2,4,8,10,1,3,7,9] => [2,2,4,4]
[6,10,5,9,2,4,8,12,1,3,7,11] => [2,2,4,4]
[6,5,12,9,11,2,4,8,10,1,3,7] => [1,2,2,4,3]
[12,11,6,10,5,9,2,4,8,1,3,7] => [1,1,2,2,3,3]
[2,8,5,7,4,6,10,12,1,3,9,11] => [2,2,4,4]
[2,8,12,5,7,11,4,6,10,1,3,9] => [3,3,3,3]
[10,5,2,4,7,9,6,8,12,1,3,11] => [1,1,4,3,3]
[12,5,7,2,4,6,9,11,8,10,1,3] => [1,2,5,2,2]
[12,5,11,10,2,4,7,9,6,8,1,3] => [1,2,1,4,2,2]
[10,9,2,8,5,7,4,6,12,1,3,11] => [1,1,2,2,3,3]
[12,5,9,8,2,4,7,11,6,10,1,3] => [1,2,1,4,2,2]
[2,12,5,11,8,10,7,9,4,6,1,3] => [2,2,2,2,2,2]
[12,11,10,9,2,8,5,7,4,6,1,3] => [1,1,1,1,2,2,2,2]
[8,7,6,5,2,4,10,12,1,3,9,11] => [1,1,1,1,4,4]
[8,7,6,12,5,11,2,4,10,1,3,9] => [1,1,2,2,3,3]
[10,7,2,6,5,9,4,8,12,1,3,11] => [1,1,2,2,3,3]
[7,6,12,5,2,4,9,11,8,10,1,3] => [1,2,1,4,2,2]
[2,12,7,11,6,10,5,9,4,8,1,3] => [2,2,2,2,2,2]
[6,10,5,9,8,7,2,4,12,1,3,11] => [2,2,1,1,3,3]
[2,12,6,9,5,8,7,11,4,10,1,3] => [2,2,2,2,2,2]
[6,8,12,5,7,11,10,9,2,4,1,3] => [3,3,1,1,2,2]
[12,11,6,10,5,9,8,7,2,4,1,3] => [1,1,2,2,1,1,2,2]
[10,9,8,7,6,5,2,4,12,1,3,11] => [1,1,1,1,1,1,3,3]
[12,9,8,7,2,6,5,11,4,10,1,3] => [1,1,1,1,2,2,2,2]
[8,7,6,12,5,11,10,9,2,4,1,3] => [1,1,2,2,1,1,2,2]
[7,12,6,11,10,9,8,5,2,4,1,3] => [2,2,1,1,1,1,2,2]
[12,11,10,9,8,7,6,5,2,4,1,3] => [1,1,1,1,1,1,1,1,2,2]
[4,3,2,6,8,10,12,1,5,7,9,11] => [1,1,5,5]
[4,12,3,11,2,6,8,10,1,5,7,9] => [2,2,4,4]
[4,10,3,9,2,6,8,12,1,5,7,11] => [2,2,4,4]
[4,3,12,9,11,2,6,8,10,1,5,7] => [1,2,2,4,3]
[12,11,4,10,3,9,2,6,8,1,5,7] => [1,1,2,2,3,3]
[4,8,3,7,2,6,10,12,1,5,9,11] => [2,2,4,4]
[4,8,12,3,7,11,2,6,10,1,5,9] => [3,3,3,3]
[4,3,10,7,9,2,6,8,12,1,5,11] => [1,2,2,4,3]
[4,3,7,9,12,11,2,6,8,10,1,5] => [1,4,1,4,2]
[12,4,11,3,10,7,9,2,6,8,1,5] => [1,2,2,2,3,2]
[10,9,4,8,3,7,2,6,12,1,5,11] => [1,1,2,2,3,3]
[12,4,9,3,8,7,11,2,6,10,1,5] => [1,2,2,2,3,2]
[4,8,12,11,10,3,7,9,2,6,1,5] => [3,1,1,3,2,2]
[12,11,10,9,4,8,3,7,2,6,1,5] => [1,1,1,1,2,2,2,2]
[3,6,2,5,4,8,10,12,1,7,9,11] => [2,2,4,4]
[3,6,12,2,5,11,4,8,10,1,7,9] => [3,3,3,3]
[3,6,10,2,5,9,4,8,12,1,7,11] => [3,3,3,3]
[3,12,6,2,5,9,11,4,8,10,1,7] => [2,1,4,3,2]
[12,11,3,6,10,2,5,9,4,8,1,7] => [1,1,3,3,2,2]
[3,5,8,2,4,7,6,10,12,1,9,11] => [3,3,3,3]
[3,5,8,12,2,4,7,11,6,10,1,9] => [4,4,2,2]
[3,5,7,10,2,4,6,9,8,12,1,11] => [4,4,2,2]
[3,5,7,9,12,2,4,6,8,11,10,1] => [5,5,1,1]
[12,11,3,5,7,10,2,4,6,9,8,1] => [1,1,4,4,1,1]
[10,9,3,5,8,2,4,7,6,12,1,11] => [1,1,3,3,2,2]
[9,8,3,5,7,12,2,4,6,11,10,1] => [1,1,4,4,1,1]
[3,5,12,11,8,10,2,4,7,9,6,1] => [3,1,2,4,1,1]
[12,11,10,9,3,5,8,2,4,7,6,1] => [1,1,1,1,3,3,1,1]
[8,7,3,6,2,5,4,10,12,1,9,11] => [1,1,2,2,3,3]
[8,7,3,6,12,2,5,11,4,10,1,9] => [1,1,3,3,2,2]
[7,6,3,5,10,2,4,9,8,12,1,11] => [1,1,3,3,2,2]
[7,6,3,5,9,12,2,4,8,11,10,1] => [1,1,4,4,1,1]
[7,12,6,11,3,5,10,2,4,9,8,1] => [2,2,3,3,1,1]
[3,6,10,9,8,2,5,7,4,12,1,11] => [3,1,1,3,2,2]
[3,9,6,8,5,7,12,2,4,11,10,1] => [2,2,3,3,1,1]
[3,2,12,6,8,11,10,5,7,9,4,1] => [1,2,3,1,3,1,1]
[12,11,3,6,10,9,8,2,5,7,4,1] => [1,1,3,1,1,3,1,1]
[10,9,8,7,3,6,2,5,4,12,1,11] => [1,1,1,1,2,2,2,2]
[9,8,7,6,3,5,12,2,4,11,10,1] => [1,1,1,1,3,3,1,1]
[8,7,3,6,12,11,10,2,5,9,4,1] => [1,1,3,1,1,3,1,1]
[3,12,7,11,10,9,6,8,2,5,4,1] => [2,2,1,1,2,2,1,1]
[12,11,10,9,8,7,3,6,2,5,4,1] => [1,1,1,1,1,1,2,2,1,1]
[6,5,4,3,2,8,10,12,1,7,9,11] => [1,1,1,1,4,4]
[6,5,4,12,3,11,2,8,10,1,7,9] => [1,1,2,2,3,3]
[6,5,4,10,3,9,2,8,12,1,7,11] => [1,1,2,2,3,3]
[6,12,5,4,3,9,11,2,8,10,1,7] => [2,1,1,3,3,2]
[5,4,3,8,2,7,6,10,12,1,9,11] => [1,1,2,2,3,3]
[5,4,3,8,12,2,7,11,6,10,1,9] => [1,1,3,3,2,2]
[5,4,3,7,10,2,6,9,8,12,1,11] => [1,1,3,3,2,2]
[5,4,3,7,9,12,2,6,8,11,10,1] => [1,1,4,4,1,1]
[5,12,4,11,3,7,10,2,6,9,8,1] => [2,2,3,3,1,1]
[5,10,4,9,3,8,2,7,6,12,1,11] => [2,2,2,2,2,2]
[5,9,4,8,3,7,12,2,6,11,10,1] => [2,2,3,3,1,1]
[12,11,5,4,3,8,10,2,7,9,6,1] => [1,1,1,1,3,3,1,1]
[12,11,5,10,4,9,3,8,2,7,6,1] => [1,1,2,2,2,2,1,1]
[4,8,3,7,6,5,2,10,12,1,9,11] => [2,2,1,1,3,3]
[4,8,3,7,6,12,5,11,2,10,1,9] => [2,2,2,2,2,2]
[4,7,3,6,5,10,2,9,8,12,1,11] => [2,2,2,2,2,2]
[4,7,3,6,5,9,12,2,8,11,10,1] => [2,2,3,3,1,1]
[4,7,12,3,6,11,5,10,2,9,8,1] => [3,3,2,2,1,1]
[4,6,10,3,5,9,8,7,2,12,1,11] => [3,3,1,1,2,2]
[4,6,9,3,5,8,7,12,2,11,10,1] => [3,3,2,2,1,1]
[4,6,8,12,3,5,7,11,10,9,2,1] => [4,4,1,1,1,1]
[12,11,4,6,10,3,5,9,8,7,2,1] => [1,1,3,3,1,1,1,1]
[10,9,4,8,3,7,6,5,2,12,1,11] => [1,1,2,2,1,1,2,2]
[9,8,4,7,3,6,5,12,2,11,10,1] => [1,1,2,2,2,2,1,1]
[8,7,4,6,12,3,5,11,10,9,2,1] => [1,1,3,3,1,1,1,1]
[4,7,12,11,10,3,6,9,8,5,2,1] => [3,1,1,3,1,1,1,1]
[12,11,10,9,4,8,3,7,6,5,2,1] => [1,1,1,1,2,2,1,1,1,1]
[8,7,6,5,4,3,2,10,12,1,9,11] => [1,1,1,1,1,1,3,3]
[8,7,6,5,4,12,3,11,2,10,1,9] => [1,1,1,1,2,2,2,2]
[7,6,5,4,3,10,2,9,8,12,1,11] => [1,1,1,1,2,2,2,2]
[7,6,5,4,3,9,12,2,8,11,10,1] => [1,1,1,1,3,3,1,1]
[7,6,5,12,4,11,3,10,2,9,8,1] => [1,1,2,2,2,2,1,1]
[6,5,4,10,3,9,8,7,2,12,1,11] => [1,1,2,2,1,1,2,2]
[6,5,4,9,3,8,7,12,2,11,10,1] => [1,1,2,2,2,2,1,1]
[6,5,4,8,12,3,7,11,10,9,2,1] => [1,1,3,3,1,1,1,1]
[6,12,5,11,4,10,3,9,8,7,2,1] => [2,2,2,2,1,1,1,1]
[5,10,4,9,8,7,6,3,2,12,1,11] => [2,2,1,1,1,1,2,2]
[5,9,4,8,7,6,3,12,2,11,10,1] => [2,2,1,1,2,2,1,1]
[5,8,4,7,6,12,3,11,10,9,2,1] => [2,2,2,2,1,1,1,1]
[5,7,12,4,6,11,10,9,8,3,2,1] => [3,3,1,1,1,1,1,1]
[12,11,5,10,4,9,8,7,6,3,2,1] => [1,1,2,2,1,1,1,1,1,1]
[10,9,8,7,6,5,4,3,2,12,1,11] => [1,1,1,1,1,1,1,1,2,2]
[9,8,7,6,5,4,3,12,2,11,10,1] => [1,1,1,1,1,1,2,2,1,1]
[8,7,6,5,4,12,3,11,10,9,2,1] => [1,1,1,1,2,2,1,1,1,1]
[7,6,5,12,4,11,10,9,8,3,2,1] => [1,1,2,2,1,1,1,1,1,1]
[6,12,5,11,10,9,8,7,4,3,2,1] => [2,2,1,1,1,1,1,1,1,1]
[1,3,5,7,9,12,2,4,6,8,10,11] => [6,6]
[9,12,1,3,5,7,11,2,4,6,8,10] => [2,5,5]
[7,9,1,3,5,8,12,2,4,6,10,11] => [2,5,5]
[12,7,9,1,3,5,8,11,2,4,6,10] => [1,2,5,4]
[7,8,12,11,1,3,5,10,2,4,6,9] => [3,1,4,4]
[5,7,1,3,6,9,12,2,4,8,10,11] => [2,5,5]
[5,6,9,12,1,3,7,11,2,4,8,10] => [4,4,4]
[9,5,7,1,3,6,8,12,2,4,10,11] => [1,2,5,4]
[6,12,5,9,1,3,7,8,11,2,4,10] => [2,2,5,3]
[8,6,12,5,11,1,3,7,10,2,4,9] => [1,2,2,4,3]
[5,6,9,8,1,3,7,12,2,4,10,11] => [3,1,4,4]
[5,6,8,12,9,1,3,7,11,2,4,10] => [4,1,4,3]
[6,12,5,8,7,11,1,3,10,2,4,9] => [2,2,2,3,3]
[5,6,7,12,11,10,1,3,9,2,4,8] => [4,1,1,3,3]
[3,5,1,4,7,9,12,2,6,8,10,11] => [2,5,5]
[3,4,9,12,1,5,7,11,2,6,8,10] => [4,4,4]
[3,4,7,9,1,5,8,12,2,6,10,11] => [4,4,4]
[12,3,4,7,9,1,5,8,11,2,6,10] => [1,4,4,3]
[7,8,12,3,4,11,1,5,10,2,6,9] => [3,3,3,3]
[7,3,5,1,4,6,9,12,2,8,10,11] => [1,2,5,4]
[6,3,4,9,12,1,5,7,11,2,8,10] => [1,4,4,3]
[4,9,3,7,1,5,6,8,12,2,10,11] => [2,2,5,3]
[4,6,12,3,9,1,5,7,8,11,2,10] => [3,2,5,2]
[8,4,6,12,3,11,1,5,7,10,2,9] => [1,3,2,4,2]
[6,4,9,3,8,1,5,7,12,2,10,11] => [1,2,2,4,3]
[6,4,8,12,3,9,1,5,7,11,2,10] => [1,3,2,4,2]
[4,6,12,8,3,7,11,1,5,10,2,9] => [3,1,3,3,2]
[6,4,7,12,11,3,10,1,5,9,2,8] => [1,3,1,2,3,2]
[3,4,7,6,1,5,9,12,2,8,10,11] => [3,1,4,4]
[3,4,6,5,9,12,1,7,11,2,8,10] => [3,3,3,3]
[3,4,6,9,7,1,5,8,12,2,10,11] => [4,1,4,3]
[12,3,4,6,5,9,1,7,8,11,2,10] => [1,3,2,4,2]
[8,12,3,4,6,5,11,1,7,10,2,9] => [2,3,2,3,2]
[4,9,3,6,5,8,1,7,12,2,10,11] => [2,2,2,3,3]
[4,8,3,5,12,6,9,1,7,11,2,10] => [2,3,2,3,2]
[12,4,8,3,6,5,7,11,1,10,2,9] => [1,2,2,3,2,2]
[4,7,5,12,3,11,6,10,1,9,2,8] => [2,2,2,2,2,2]
[3,4,5,9,8,7,1,6,12,2,10,11] => [4,1,1,3,3]
[3,4,5,8,7,12,9,1,6,11,2,10] => [4,2,1,3,2]
[7,3,4,5,12,8,6,11,1,10,2,9] => [1,4,1,2,2,2]
[4,5,12,3,7,6,11,10,1,9,2,8] => [3,2,2,1,2,2]
[3,4,5,6,12,11,10,9,1,8,2,7] => [5,1,1,1,2,2]
[1,3,2,5,7,9,12,4,6,8,10,11] => [2,5,5]
[1,2,9,12,3,5,7,11,4,6,8,10] => [4,4,4]
[1,2,7,9,3,5,8,12,4,6,10,11] => [4,4,4]
[12,1,2,7,9,3,5,8,11,4,6,10] => [1,4,4,3]
[7,8,12,1,2,11,3,5,10,4,6,9] => [3,3,3,3]
[1,2,5,7,3,6,9,12,4,8,10,11] => [4,4,4]
[1,2,5,6,9,12,3,7,11,4,8,10] => [6,3,3]
[9,1,2,5,7,3,6,8,12,4,10,11] => [1,4,4,3]
[6,12,1,2,5,9,3,7,8,11,4,10] => [2,4,4,2]
[8,6,12,1,2,5,11,3,7,10,4,9] => [1,2,4,3,2]
[5,6,9,1,2,8,3,7,12,4,10,11] => [3,3,3,3]
[5,6,8,12,1,2,9,3,7,11,4,10] => [4,3,3,2]
[6,12,5,8,1,2,7,11,3,10,4,9] => [2,2,4,2,2]
[5,6,7,12,11,1,2,10,3,9,4,8] => [4,1,3,2,2]
[5,1,3,2,4,7,9,12,6,8,10,11] => [1,2,5,4]
[4,1,2,9,12,3,5,7,11,6,8,10] => [1,4,4,3]
[4,1,2,7,9,3,5,8,12,6,10,11] => [1,4,4,3]
[2,12,1,4,7,9,3,5,8,11,6,10] => [2,4,4,2]
[2,7,8,12,1,4,11,3,5,10,6,9] => [4,3,3,2]
[2,7,1,5,3,4,6,9,12,8,10,11] => [2,2,5,3]
[2,6,1,4,9,12,3,5,7,11,8,10] => [2,4,4,2]
[2,4,9,1,7,3,5,6,8,12,10,11] => [3,2,5,2]
[2,4,6,12,1,9,3,5,7,8,11,10] => [4,2,5,1]
[8,2,4,6,12,1,11,3,5,7,10,9] => [1,4,2,4,1]
[6,2,4,9,1,8,3,5,7,12,10,11] => [1,3,2,4,2]
[6,2,4,8,12,1,9,3,5,7,11,10] => [1,4,2,4,1]
[4,6,12,2,8,1,7,11,3,5,10,9] => [3,2,3,3,1]
[6,4,7,12,2,11,1,10,3,5,9,8] => [1,3,2,2,3,1]
[4,2,7,1,6,3,5,9,12,8,10,11] => [1,2,2,4,3]
[4,2,6,1,5,9,12,3,7,11,8,10] => [1,2,4,3,2]
[4,2,6,9,1,7,3,5,8,12,10,11] => [1,3,2,4,2]
[2,12,4,6,1,5,9,3,7,8,11,10] => [2,2,3,4,1]
[2,8,12,4,6,1,5,11,3,7,10,9] => [3,2,3,3,1]
[2,4,9,6,1,5,8,3,7,12,10,11] => [3,1,3,3,2]
[2,4,8,5,12,1,6,9,3,7,11,10] => [3,2,3,3,1]
[12,2,4,8,6,1,5,7,11,3,10,9] => [1,3,1,4,2,1]
[4,7,2,5,12,11,1,6,10,3,9,8] => [2,3,1,3,2,1]
[4,2,5,9,8,1,7,3,6,12,10,11] => [1,3,1,2,3,2]
[4,2,5,8,7,12,1,9,3,6,11,10] => [1,3,2,2,3,1]
[2,7,4,5,12,8,1,6,11,3,10,9] => [2,3,1,3,2,1]
[2,4,5,12,7,6,11,1,10,3,9,8] => [4,1,2,2,2,1]
[4,2,5,6,12,11,10,1,9,3,8,7] => [1,4,1,1,2,2,1]
[1,2,5,4,3,7,9,12,6,8,10,11] => [3,1,4,4]
[1,2,4,3,9,12,5,7,11,6,8,10] => [3,3,3,3]
[1,2,4,3,7,9,5,8,12,6,10,11] => [3,3,3,3]
[1,2,3,12,4,7,9,5,8,11,6,10] => [4,3,3,2]
[1,2,3,7,8,12,4,11,5,10,6,9] => [6,2,2,2]
[1,2,4,7,5,3,6,9,12,8,10,11] => [4,1,4,3]
[1,2,4,6,3,9,12,5,7,11,8,10] => [4,3,3,2]
[9,1,2,4,3,7,5,6,8,12,10,11] => [1,3,2,4,2]
[6,1,2,3,12,4,9,5,7,8,11,10] => [1,4,2,4,1]
[3,8,1,2,6,12,4,11,5,7,10,9] => [2,4,2,3,1]
[6,9,1,2,4,3,8,5,7,12,10,11] => [2,3,2,3,2]
[6,8,1,2,3,12,4,9,5,7,11,10] => [2,4,2,3,1]
[6,3,12,1,2,8,4,7,11,5,10,9] => [1,2,3,3,2,1]
[6,7,3,12,1,2,11,4,10,5,9,8] => [2,2,3,2,2,1]
[2,7,1,4,3,6,5,9,12,8,10,11] => [2,2,2,3,3]
[2,6,1,4,3,5,9,12,7,11,8,10] => [2,2,4,2,2]
[2,6,1,3,9,4,7,5,8,12,10,11] => [2,3,2,3,2]
[2,3,12,1,6,4,5,9,7,8,11,10] => [3,2,3,3,1]
[2,3,8,12,1,6,4,5,11,7,10,9] => [4,2,3,2,1]
[9,2,6,1,4,3,5,8,7,12,10,11] => [1,2,2,3,2,2]
[8,2,5,1,3,12,4,6,9,7,11,10] => [1,2,3,3,2,1]
[3,12,2,8,1,6,4,5,7,11,10,9] => [2,2,2,4,1,1]
[7,5,2,3,12,1,11,4,6,10,9,8] => [1,1,3,2,3,1,1]
[2,5,3,9,1,8,4,7,6,12,10,11] => [2,2,2,2,2,2]
[2,5,3,8,1,7,12,4,9,6,11,10] => [2,2,3,2,2,1]
[2,3,7,5,12,1,8,4,6,11,10,9] => [3,2,2,3,1,1]
[5,2,3,12,7,1,6,11,4,10,9,8] => [1,3,1,3,2,1,1]
[2,5,3,6,12,11,1,10,4,9,8,7] => [2,3,1,2,2,1,1]
[1,2,3,7,6,5,4,9,12,8,10,11] => [4,1,1,3,3]
[1,2,3,6,5,4,9,12,7,11,8,10] => [4,1,3,2,2]
[1,2,3,6,5,9,7,4,8,12,10,11] => [4,2,1,3,2]
[1,2,3,5,12,6,4,9,7,8,11,10] => [5,1,2,3,1]
[1,2,3,5,8,12,6,4,11,7,10,9] => [6,1,2,2,1]
[5,1,2,3,9,6,4,8,7,12,10,11] => [1,4,1,2,2,2]
[5,1,2,3,8,4,12,6,9,7,11,10] => [1,4,2,2,2,1]
[3,12,1,2,5,8,6,4,7,11,10,9] => [2,4,1,3,1,1]
[7,3,12,1,2,5,4,11,6,10,9,8] => [1,2,3,2,2,1,1]
[2,3,9,1,5,4,8,7,6,12,10,11] => [3,2,2,1,2,2]
[2,3,8,1,5,4,7,12,9,6,11,10] => [3,2,3,1,2,1]
[2,3,7,12,1,5,4,8,6,11,10,9] => [4,2,2,2,1,1]
[3,12,2,7,1,5,4,6,11,10,9,8] => [2,2,2,3,1,1,1]
[2,3,6,4,12,1,11,5,10,9,8,7] => [3,2,2,2,1,1,1]
[1,2,3,4,9,8,7,6,5,12,10,11] => [5,1,1,1,2,2]
[1,2,3,4,8,7,6,12,9,5,11,10] => [5,1,2,1,2,1]
[7,1,2,3,6,4,12,8,5,11,10,9] => [1,4,2,1,2,1,1]
[3,6,1,2,4,12,7,5,11,10,9,8] => [2,4,1,2,1,1,1]
[2,3,4,12,1,6,5,11,10,9,8,7] => [4,2,2,1,1,1,1]
[1,2,3,4,5,12,11,10,9,8,7,6] => [6,1,1,1,1,1,1]
[12,2,10,4,8,6,5,7,3,9,1,11] => [1,2,2,1,2,2,2]
[12,2,11,4,8,6,5,7,3,9,10,1] => [1,2,2,1,2,3,1]
[12,2,10,4,9,6,5,7,8,3,1,11] => [1,2,2,1,3,1,2]
[12,2,11,4,9,6,5,7,8,3,10,1] => [1,2,2,1,3,2,1]
[12,2,11,4,10,6,5,7,8,9,3,1] => [1,2,2,1,4,1,1]
[12,2,10,4,8,7,6,5,3,9,1,11] => [1,2,2,1,1,1,2,2]
[12,2,11,4,8,7,6,5,3,9,10,1] => [1,2,2,1,1,1,3,1]
[12,2,10,4,9,7,6,5,8,3,1,11] => [1,2,2,1,1,2,1,2]
[12,2,11,4,9,7,6,5,8,3,10,1] => [1,2,2,1,1,2,2,1]
[12,2,11,4,10,7,6,5,8,9,3,1] => [1,2,2,1,1,3,1,1]
[12,2,10,4,9,8,6,7,5,3,1,11] => [1,2,2,1,2,1,1,2]
[12,2,11,4,9,8,6,7,5,3,10,1] => [1,2,2,1,2,1,2,1]
[12,2,11,4,10,8,6,7,5,9,3,1] => [1,2,2,1,2,2,1,1]
[12,2,11,4,10,9,6,7,8,5,3,1] => [1,2,2,1,3,1,1,1]
[12,2,10,8,5,6,4,7,3,9,1,11] => [1,2,1,2,2,2,2]
[12,2,11,8,5,6,4,7,3,9,10,1] => [1,2,1,2,2,3,1]
[12,2,10,9,5,6,4,7,8,3,1,11] => [1,2,1,2,3,1,2]
[12,2,11,9,5,6,4,7,8,3,10,1] => [1,2,1,2,3,2,1]
[12,2,11,10,5,6,4,7,8,9,3,1] => [1,2,1,2,4,1,1]
[12,2,10,8,5,7,6,4,3,9,1,11] => [1,2,1,2,1,1,2,2]
[12,2,11,8,5,7,6,4,3,9,10,1] => [1,2,1,2,1,1,3,1]
[12,2,10,9,5,7,6,4,8,3,1,11] => [1,2,1,2,1,2,1,2]
[12,2,11,9,5,7,6,4,8,3,10,1] => [1,2,1,2,1,2,2,1]
[12,2,11,10,5,7,6,4,8,9,3,1] => [1,2,1,2,1,3,1,1]
[12,2,10,9,5,8,6,7,4,3,1,11] => [1,2,1,2,2,1,1,2]
[12,2,11,9,5,8,6,7,4,3,10,1] => [1,2,1,2,2,1,2,1]
[12,2,11,10,5,8,6,7,4,9,3,1] => [1,2,1,2,2,2,1,1]
[12,2,11,10,5,9,6,7,8,4,3,1] => [1,2,1,2,3,1,1,1]
[12,2,10,8,7,6,5,4,3,9,1,11] => [1,2,1,1,1,1,1,2,2]
[12,2,11,8,7,6,5,4,3,9,10,1] => [1,2,1,1,1,1,1,3,1]
[12,2,10,9,7,6,5,4,8,3,1,11] => [1,2,1,1,1,1,2,1,2]
[12,2,11,9,7,6,5,4,8,3,10,1] => [1,2,1,1,1,1,2,2,1]
[12,2,11,10,7,6,5,4,8,9,3,1] => [1,2,1,1,1,1,3,1,1]
[12,2,10,9,8,6,5,7,4,3,1,11] => [1,2,1,1,1,2,1,1,2]
[12,2,11,9,8,6,5,7,4,3,10,1] => [1,2,1,1,1,2,1,2,1]
[12,2,11,10,8,6,5,7,4,9,3,1] => [1,2,1,1,1,2,2,1,1]
[12,2,11,10,9,6,5,7,8,4,3,1] => [1,2,1,1,1,3,1,1,1]
[12,2,10,9,8,7,6,5,4,3,1,11] => [1,2,1,1,1,1,1,1,1,2]
[12,2,11,9,8,7,6,5,4,3,10,1] => [1,2,1,1,1,1,1,1,2,1]
[12,2,11,10,8,7,6,5,4,9,3,1] => [1,2,1,1,1,1,1,2,1,1]
[12,2,11,10,9,7,6,5,8,4,3,1] => [1,2,1,1,1,1,2,1,1,1]
[12,2,11,10,9,8,6,7,5,4,3,1] => [1,2,1,1,1,2,1,1,1,1]
[12,10,3,4,8,6,5,7,2,9,1,11] => [1,1,3,1,2,2,2]
[12,11,3,4,8,6,5,7,2,9,10,1] => [1,1,3,1,2,3,1]
[12,10,3,4,9,6,5,7,8,2,1,11] => [1,1,3,1,3,1,2]
[12,11,3,4,9,6,5,7,8,2,10,1] => [1,1,3,1,3,2,1]
[12,11,3,4,10,6,5,7,8,9,2,1] => [1,1,3,1,4,1,1]
[12,10,3,4,8,7,6,5,2,9,1,11] => [1,1,3,1,1,1,2,2]
[12,11,3,4,8,7,6,5,2,9,10,1] => [1,1,3,1,1,1,3,1]
[12,10,3,4,9,7,6,5,8,2,1,11] => [1,1,3,1,1,2,1,2]
[12,11,3,4,9,7,6,5,8,2,10,1] => [1,1,3,1,1,2,2,1]
[12,11,3,4,10,7,6,5,8,9,2,1] => [1,1,3,1,1,3,1,1]
[12,10,3,4,9,8,6,7,5,2,1,11] => [1,1,3,1,2,1,1,2]
[12,11,3,4,9,8,6,7,5,2,10,1] => [1,1,3,1,2,1,2,1]
[12,11,3,4,10,8,6,7,5,9,2,1] => [1,1,3,1,2,2,1,1]
[12,11,3,4,10,9,6,7,8,5,2,1] => [1,1,3,1,3,1,1,1]
[12,10,3,8,5,6,4,7,2,9,1,11] => [1,1,2,2,2,2,2]
[12,11,3,8,5,6,4,7,2,9,10,1] => [1,1,2,2,2,3,1]
[12,10,3,9,5,6,4,7,8,2,1,11] => [1,1,2,2,3,1,2]
[12,11,3,9,5,6,4,7,8,2,10,1] => [1,1,2,2,3,2,1]
[12,11,3,10,5,6,4,7,8,9,2,1] => [1,1,2,2,4,1,1]
[12,10,3,8,5,7,6,4,2,9,1,11] => [1,1,2,2,1,1,2,2]
[12,11,3,8,5,7,6,4,2,9,10,1] => [1,1,2,2,1,1,3,1]
[12,10,3,9,5,7,6,4,8,2,1,11] => [1,1,2,2,1,2,1,2]
[12,11,3,9,5,7,6,4,8,2,10,1] => [1,1,2,2,1,2,2,1]
[12,11,3,10,5,7,6,4,8,9,2,1] => [1,1,2,2,1,3,1,1]
[12,10,3,9,5,8,6,7,4,2,1,11] => [1,1,2,2,2,1,1,2]
[12,11,3,9,5,8,6,7,4,2,10,1] => [1,1,2,2,2,1,2,1]
[12,11,3,10,5,8,6,7,4,9,2,1] => [1,1,2,2,2,2,1,1]
[12,11,3,10,5,9,6,7,8,4,2,1] => [1,1,2,2,3,1,1,1]
[12,10,3,8,7,6,5,4,2,9,1,11] => [1,1,2,1,1,1,1,2,2]
[12,11,3,8,7,6,5,4,2,9,10,1] => [1,1,2,1,1,1,1,3,1]
[12,10,3,9,7,6,5,4,8,2,1,11] => [1,1,2,1,1,1,2,1,2]
[12,11,3,9,7,6,5,4,8,2,10,1] => [1,1,2,1,1,1,2,2,1]
[12,11,3,10,7,6,5,4,8,9,2,1] => [1,1,2,1,1,1,3,1,1]
[12,10,3,9,8,6,5,7,4,2,1,11] => [1,1,2,1,1,2,1,1,2]
[12,11,3,9,8,6,5,7,4,2,10,1] => [1,1,2,1,1,2,1,2,1]
[12,11,3,10,8,6,5,7,4,9,2,1] => [1,1,2,1,1,2,2,1,1]
[12,11,3,10,9,6,5,7,8,4,2,1] => [1,1,2,1,1,3,1,1,1]
[12,10,3,9,8,7,6,5,4,2,1,11] => [1,1,2,1,1,1,1,1,1,2]
[12,11,3,9,8,7,6,5,4,2,10,1] => [1,1,2,1,1,1,1,1,2,1]
[12,11,3,10,8,7,6,5,4,9,2,1] => [1,1,2,1,1,1,1,2,1,1]
[12,11,3,10,9,7,6,5,8,4,2,1] => [1,1,2,1,1,1,2,1,1,1]
[12,11,3,10,9,8,6,7,5,4,2,1] => [1,1,2,1,1,2,1,1,1,1]
[12,10,8,4,5,6,3,7,2,9,1,11] => [1,1,1,3,2,2,2]
[12,11,8,4,5,6,3,7,2,9,10,1] => [1,1,1,3,2,3,1]
[12,10,9,4,5,6,3,7,8,2,1,11] => [1,1,1,3,3,1,2]
[12,11,9,4,5,6,3,7,8,2,10,1] => [1,1,1,3,3,2,1]
[12,11,10,4,5,6,3,7,8,9,2,1] => [1,1,1,3,4,1,1]
[12,10,8,4,5,7,6,3,2,9,1,11] => [1,1,1,3,1,1,2,2]
[12,11,8,4,5,7,6,3,2,9,10,1] => [1,1,1,3,1,1,3,1]
[12,10,9,4,5,7,6,3,8,2,1,11] => [1,1,1,3,1,2,1,2]
[12,11,9,4,5,7,6,3,8,2,10,1] => [1,1,1,3,1,2,2,1]
[12,11,10,4,5,7,6,3,8,9,2,1] => [1,1,1,3,1,3,1,1]
[12,10,9,4,5,8,6,7,3,2,1,11] => [1,1,1,3,2,1,1,2]
[12,11,9,4,5,8,6,7,3,2,10,1] => [1,1,1,3,2,1,2,1]
[12,11,10,4,5,8,6,7,3,9,2,1] => [1,1,1,3,2,2,1,1]
[12,11,10,4,5,9,6,7,8,3,2,1] => [1,1,1,3,3,1,1,1]
[12,10,8,4,7,6,5,3,2,9,1,11] => [1,1,1,2,1,1,1,2,2]
[12,11,8,4,7,6,5,3,2,9,10,1] => [1,1,1,2,1,1,1,3,1]
[12,10,9,4,7,6,5,3,8,2,1,11] => [1,1,1,2,1,1,2,1,2]
[12,11,9,4,7,6,5,3,8,2,10,1] => [1,1,1,2,1,1,2,2,1]
[12,11,10,4,7,6,5,3,8,9,2,1] => [1,1,1,2,1,1,3,1,1]
[12,10,9,4,8,6,5,7,3,2,1,11] => [1,1,1,2,1,2,1,1,2]
[12,11,9,4,8,6,5,7,3,2,10,1] => [1,1,1,2,1,2,1,2,1]
[12,11,10,4,8,6,5,7,3,9,2,1] => [1,1,1,2,1,2,2,1,1]
[12,11,10,4,9,6,5,7,8,3,2,1] => [1,1,1,2,1,3,1,1,1]
[12,10,9,4,8,7,6,5,3,2,1,11] => [1,1,1,2,1,1,1,1,1,2]
[12,11,9,4,8,7,6,5,3,2,10,1] => [1,1,1,2,1,1,1,1,2,1]
[12,11,10,4,8,7,6,5,3,9,2,1] => [1,1,1,2,1,1,1,2,1,1]
[12,11,10,4,9,7,6,5,8,3,2,1] => [1,1,1,2,1,1,2,1,1,1]
[12,11,10,4,9,8,6,7,5,3,2,1] => [1,1,1,2,1,2,1,1,1,1]
[12,10,8,7,5,6,4,3,2,9,1,11] => [1,1,1,1,2,1,1,2,2]
[12,11,8,7,5,6,4,3,2,9,10,1] => [1,1,1,1,2,1,1,3,1]
[12,10,9,7,5,6,4,3,8,2,1,11] => [1,1,1,1,2,1,2,1,2]
[12,11,9,7,5,6,4,3,8,2,10,1] => [1,1,1,1,2,1,2,2,1]
[12,11,10,7,5,6,4,3,8,9,2,1] => [1,1,1,1,2,1,3,1,1]
[12,10,9,8,5,6,4,7,3,2,1,11] => [1,1,1,1,2,2,1,1,2]
[12,11,9,8,5,6,4,7,3,2,10,1] => [1,1,1,1,2,2,1,2,1]
[12,11,10,8,5,6,4,7,3,9,2,1] => [1,1,1,1,2,2,2,1,1]
[12,11,10,9,5,6,4,7,8,3,2,1] => [1,1,1,1,2,3,1,1,1]
[12,10,9,8,5,7,6,4,3,2,1,11] => [1,1,1,1,2,1,1,1,1,2]
[12,11,9,8,5,7,6,4,3,2,10,1] => [1,1,1,1,2,1,1,1,2,1]
[12,11,10,8,5,7,6,4,3,9,2,1] => [1,1,1,1,2,1,1,2,1,1]
[12,11,10,9,5,7,6,4,8,3,2,1] => [1,1,1,1,2,1,2,1,1,1]
[12,11,10,9,5,8,6,7,4,3,2,1] => [1,1,1,1,2,2,1,1,1,1]
[12,10,9,8,7,6,5,4,3,2,1,11] => [1,1,1,1,1,1,1,1,1,1,2]
[12,11,9,8,7,6,5,4,3,2,10,1] => [1,1,1,1,1,1,1,1,1,2,1]
[12,11,10,8,7,6,5,4,3,9,2,1] => [1,1,1,1,1,1,1,1,2,1,1]
[12,11,10,9,7,6,5,4,8,3,2,1] => [1,1,1,1,1,1,1,2,1,1,1]
[12,11,10,9,8,6,5,7,4,3,2,1] => [1,1,1,1,1,1,2,1,1,1,1]
[12,11,1,3,5,7,10,2,4,6,8,9] => [1,1,5,5]
[9,8,1,3,5,7,12,2,4,6,10,11] => [1,1,5,5]
[8,12,9,11,1,3,5,10,2,4,6,7] => [2,2,4,4]
[12,11,10,9,1,3,5,8,2,4,6,7] => [1,1,1,1,4,4]
[7,6,1,3,5,9,12,2,4,8,10,11] => [1,1,5,5]
[5,12,6,11,1,3,7,10,2,4,8,9] => [2,2,4,4]
[6,9,7,8,1,3,5,12,2,4,10,11] => [2,2,4,4]
[6,8,12,7,9,11,1,3,10,2,4,5] => [3,3,3,3]
[12,11,6,10,7,9,1,3,8,2,4,5] => [1,1,2,2,3,3]
[9,8,7,6,1,3,5,12,2,4,10,11] => [1,1,1,1,4,4]
[8,7,6,12,9,11,1,3,10,2,4,5] => [1,1,2,2,3,3]
[7,12,8,11,10,9,1,3,6,2,4,5] => [2,2,1,1,3,3]
[12,11,10,9,8,7,1,3,6,2,4,5] => [1,1,1,1,1,1,3,3]
[5,4,1,3,7,9,12,2,6,8,10,11] => [1,1,5,5]
[3,12,4,11,1,5,7,10,2,6,8,9] => [2,2,4,4]
[3,9,4,8,1,5,7,12,2,6,10,11] => [2,2,4,4]
[3,8,12,4,9,11,1,5,10,2,6,7] => [3,3,3,3]
[12,11,3,10,4,9,1,5,8,2,6,7] => [1,1,2,2,3,3]
[4,7,5,6,1,3,9,12,2,8,10,11] => [2,2,4,4]
[12,4,6,3,11,1,5,7,10,2,8,9] => [1,2,2,4,3]
[4,6,9,5,7,8,1,3,12,2,10,11] => [3,3,3,3]
[4,6,8,12,5,7,9,11,1,10,2,3] => [4,4,2,2]
[12,11,4,6,10,5,7,9,1,8,2,3] => [1,1,3,3,2,2]
[9,8,4,7,5,6,1,3,12,2,10,11] => [1,1,2,2,3,3]
[8,7,4,6,12,5,9,11,1,10,2,3] => [1,1,3,3,2,2]
[7,12,8,11,4,10,5,9,1,6,2,3] => [2,2,2,2,2,2]
[12,11,10,9,4,8,5,7,1,6,2,3] => [1,1,1,1,2,2,2,2]
[7,6,5,4,1,3,9,12,2,8,10,11] => [1,1,1,1,4,4]
[5,4,3,12,6,11,1,7,10,2,8,9] => [1,1,2,2,3,3]
[6,5,4,9,7,8,1,3,12,2,10,11] => [1,1,2,2,3,3]
[6,5,4,8,12,7,9,11,1,10,2,3] => [1,1,3,3,2,2]
[4,12,5,11,6,10,7,9,1,8,2,3] => [2,2,2,2,2,2]
[5,9,6,8,7,4,1,3,12,2,10,11] => [2,2,1,1,3,3]
[5,8,6,7,4,12,9,11,1,10,2,3] => [2,2,2,2,2,2]
[5,7,12,6,8,11,10,9,1,4,2,3] => [3,3,1,1,2,2]
[12,11,5,10,6,9,8,7,1,4,2,3] => [1,1,2,2,1,1,2,2]
[9,8,7,6,5,4,1,3,12,2,10,11] => [1,1,1,1,1,1,3,3]
[8,7,6,5,4,12,9,11,1,10,2,3] => [1,1,1,1,2,2,2,2]
[7,6,5,12,8,11,10,9,1,4,2,3] => [1,1,2,2,1,1,2,2]
[6,12,7,11,10,9,8,5,1,4,2,3] => [2,2,1,1,1,1,2,2]
[12,11,10,9,8,7,6,5,1,4,2,3] => [1,1,1,1,1,1,1,1,2,2]
[3,2,1,5,7,9,12,4,6,8,10,11] => [1,1,5,5]
[1,12,2,11,3,5,7,10,4,6,8,9] => [2,2,4,4]
[1,9,2,8,3,5,7,12,4,6,10,11] => [2,2,4,4]
[1,8,12,2,9,11,3,5,10,4,6,7] => [3,3,3,3]
[12,11,1,10,2,9,3,5,8,4,6,7] => [1,1,2,2,3,3]
[1,7,2,6,3,5,9,12,4,8,10,11] => [2,2,4,4]
[1,5,12,2,6,11,3,7,10,4,8,9] => [3,3,3,3]
[1,6,9,2,7,8,3,5,12,4,10,11] => [3,3,3,3]
[1,6,8,12,2,7,9,11,3,10,4,5] => [4,4,2,2]
[12,11,1,6,10,2,7,9,3,8,4,5] => [1,1,3,3,2,2]
[9,8,1,7,2,6,3,5,12,4,10,11] => [1,1,2,2,3,3]
[8,7,1,6,12,2,9,11,3,10,4,5] => [1,1,3,3,2,2]
[7,12,8,11,1,10,2,9,3,6,4,5] => [2,2,2,2,2,2]
[12,11,10,9,1,8,2,7,3,6,4,5] => [1,1,1,1,2,2,2,2]
[2,5,3,4,1,7,9,12,6,8,10,11] => [2,2,4,4]
[12,2,4,1,11,3,5,7,10,6,8,9] => [1,2,2,4,3]
[9,2,4,1,8,3,5,7,12,6,10,11] => [1,2,2,4,3]
[8,12,2,1,4,9,11,3,5,10,6,7] => [2,1,4,3,2]
[1,12,11,10,2,4,9,3,5,8,6,7] => [2,1,1,3,3,2]
[2,4,7,3,5,6,1,9,12,8,10,11] => [3,3,3,3]
[12,2,4,6,11,3,1,5,7,10,8,9] => [1,4,1,4,2]
[2,4,6,9,3,5,7,8,1,12,10,11] => [4,4,2,2]
[2,4,6,8,12,3,5,7,9,11,10,1] => [5,5,1,1]
[12,11,2,4,6,10,3,5,7,9,8,1] => [1,1,4,4,1,1]
[9,8,2,4,7,3,5,6,1,12,10,11] => [1,1,3,3,2,2]
[8,7,2,4,6,12,3,5,9,11,10,1] => [1,1,4,4,1,1]
[7,12,8,11,2,4,10,3,5,9,6,1] => [2,2,3,3,1,1]
[12,11,10,9,2,4,8,3,5,7,6,1] => [1,1,1,1,3,3,1,1]
[7,6,2,5,3,4,1,9,12,8,10,11] => [1,1,2,2,3,3]
[5,4,12,2,6,1,11,3,7,10,8,9] => [1,2,2,2,3,2]
[6,5,2,4,9,3,7,8,1,12,10,11] => [1,1,3,3,2,2]
[6,5,2,4,8,12,3,7,9,11,10,1] => [1,1,4,4,1,1]
[4,12,5,11,2,6,10,3,7,9,8,1] => [2,2,3,3,1,1]
[5,9,6,8,2,7,3,4,1,12,10,11] => [2,2,2,2,2,2]
[5,8,6,7,2,4,12,3,9,11,10,1] => [2,2,3,3,1,1]
[5,7,12,6,8,11,2,10,3,9,4,1] => [3,3,2,2,1,1]
[12,11,5,10,6,9,2,8,3,7,4,1] => [1,1,2,2,2,2,1,1]
[9,8,7,6,2,5,3,4,1,12,10,11] => [1,1,1,1,2,2,2,2]
[8,7,6,5,2,4,12,3,9,11,10,1] => [1,1,1,1,3,3,1,1]
[7,6,5,12,8,11,2,10,3,9,4,1] => [1,1,2,2,2,2,1,1]
[6,12,7,11,10,9,2,8,3,5,4,1] => [2,2,1,1,2,2,1,1]
[12,11,10,9,8,7,2,6,3,5,4,1] => [1,1,1,1,1,1,2,2,1,1]
[5,4,3,2,1,7,9,12,6,8,10,11] => [1,1,1,1,4,4]
[3,2,1,12,4,11,5,7,10,6,8,9] => [1,1,2,2,3,3]
[3,2,1,9,4,8,5,7,12,6,10,11] => [1,1,2,2,3,3]
[3,2,1,8,12,4,9,11,5,10,6,7] => [1,1,3,3,2,2]
[1,12,2,11,3,10,4,9,5,8,6,7] => [2,2,2,2,2,2]
[4,3,2,7,5,6,1,9,12,8,10,11] => [1,1,2,2,3,3]
[3,2,12,4,6,1,11,5,7,10,8,9] => [1,2,2,2,3,2]
[4,3,2,6,9,5,7,8,1,12,10,11] => [1,1,3,3,2,2]
[4,3,2,6,8,12,5,7,9,11,10,1] => [1,1,4,4,1,1]
[2,12,3,11,4,6,10,5,7,9,8,1] => [2,2,3,3,1,1]
[2,9,3,8,4,7,5,6,1,12,10,11] => [2,2,2,2,2,2]
[2,8,3,7,4,6,12,5,9,11,10,1] => [2,2,3,3,1,1]
[2,7,12,3,8,11,4,10,5,9,6,1] => [3,3,2,2,1,1]
[12,11,2,10,3,9,4,8,5,7,6,1] => [1,1,2,2,2,2,1,1]
[3,7,4,6,5,2,1,9,12,8,10,11] => [2,2,1,1,3,3]
[3,5,12,4,2,1,6,11,7,10,8,9] => [3,1,1,3,2,2]
[3,6,4,5,2,9,7,8,1,12,10,11] => [2,2,2,2,2,2]
[3,6,4,5,2,8,12,7,9,11,10,1] => [2,2,3,3,1,1]
[12,3,5,2,11,4,6,10,7,9,8,1] => [1,2,2,3,2,1,1]
[3,5,9,4,6,8,7,2,1,12,10,11] => [3,3,1,1,2,2]
[3,5,8,4,6,7,2,12,9,11,10,1] => [3,3,2,2,1,1]
[3,5,7,12,4,6,8,11,10,9,2,1] => [4,4,1,1,1,1]
[12,11,3,5,10,4,6,9,8,7,2,1] => [1,1,3,3,1,1,1,1]
[9,8,3,7,4,6,5,2,1,12,10,11] => [1,1,2,2,1,1,2,2]
[8,7,3,6,4,5,2,12,9,11,10,1] => [1,1,2,2,2,2,1,1]
[7,6,3,5,12,4,8,11,10,9,2,1] => [1,1,3,3,1,1,1,1]
[6,12,7,11,3,10,4,9,8,5,2,1] => [2,2,2,2,1,1,1,1]
[12,11,10,9,3,8,4,7,6,5,2,1] => [1,1,1,1,2,2,1,1,1,1]
[7,6,5,4,3,2,1,9,12,8,10,11] => [1,1,1,1,1,1,3,3]
[5,4,3,2,1,12,6,11,7,10,8,9] => [1,1,1,1,2,2,2,2]
[6,5,4,3,2,9,7,8,1,12,10,11] => [1,1,1,1,2,2,2,2]
[6,5,4,3,2,8,12,7,9,11,10,1] => [1,1,1,1,3,3,1,1]
[4,3,2,12,5,11,6,10,7,9,8,1] => [1,1,2,2,2,2,1,1]
[5,4,3,9,6,8,7,2,1,12,10,11] => [1,1,2,2,1,1,2,2]
[5,4,3,8,6,7,2,12,9,11,10,1] => [1,1,2,2,2,2,1,1]
[5,4,3,7,12,6,8,11,10,9,2,1] => [1,1,3,3,1,1,1,1]
[3,12,4,11,5,10,6,9,8,7,2,1] => [2,2,2,2,1,1,1,1]
[4,9,5,8,7,6,3,2,1,12,10,11] => [2,2,1,1,1,1,2,2]
[4,8,5,7,6,3,2,12,9,11,10,1] => [2,2,1,1,2,2,1,1]
[4,7,5,6,3,12,8,11,10,9,2,1] => [2,2,2,2,1,1,1,1]
[4,6,12,5,7,11,10,9,8,3,2,1] => [3,3,1,1,1,1,1,1]
[12,11,4,10,5,9,8,7,6,3,2,1] => [1,1,2,2,1,1,1,1,1,1]
[9,8,7,6,5,4,3,2,1,12,10,11] => [1,1,1,1,1,1,1,1,2,2]
[8,7,6,5,4,3,2,12,9,11,10,1] => [1,1,1,1,1,1,2,2,1,1]
[7,6,5,4,3,12,8,11,10,9,2,1] => [1,1,1,1,2,2,1,1,1,1]
[6,5,4,12,7,11,10,9,8,3,2,1] => [1,1,2,2,1,1,1,1,1,1]
[5,12,6,11,10,9,8,7,4,3,2,1] => [2,2,1,1,1,1,1,1,1,1]
[11,3,4,5,6,7,8,9,10,1,12,2] => [1,8,2,1]
[2,12,4,5,6,7,8,9,10,11,1,3] => [2,8,2]
[3,5,7,9,11,1,2,4,6,8,10,12] => [5,7]
[3,5,7,9,1,2,4,6,8,10,11,12] => [4,8]
[3,5,7,11,1,2,4,6,8,9,10,12] => [4,8]
[3,5,7,10,1,2,4,6,8,9,11,12] => [4,8]
[3,5,7,1,2,4,6,8,9,10,11,12] => [3,9]
[3,5,9,11,1,2,4,6,7,8,10,12] => [4,8]
[3,5,9,10,1,2,4,6,7,8,11,12] => [4,8]
[3,5,8,11,1,2,4,6,7,9,10,12] => [4,8]
[3,5,8,10,1,2,4,6,7,9,11,12] => [4,8]
[3,5,8,1,2,4,6,7,9,10,11,12] => [3,9]
[3,5,11,1,2,4,6,7,8,9,10,12] => [3,9]
[3,5,10,1,2,4,6,7,8,9,11,12] => [3,9]
[3,5,9,1,2,4,6,7,8,10,11,12] => [3,9]
[3,5,1,2,4,6,7,8,9,10,11,12] => [2,10]
[3,7,9,11,1,2,4,5,6,8,10,12] => [4,8]
[3,7,9,10,1,2,4,5,6,8,11,12] => [4,8]
[3,7,8,11,1,2,4,5,6,9,10,12] => [4,8]
[3,7,8,10,1,2,4,5,6,9,11,12] => [4,8]
[3,7,8,1,2,4,5,6,9,10,11,12] => [3,9]
[3,6,9,11,1,2,4,5,7,8,10,12] => [4,8]
[3,6,9,10,1,2,4,5,7,8,11,12] => [4,8]
[3,6,8,11,1,2,4,5,7,9,10,12] => [4,8]
[3,6,8,10,1,2,4,5,7,9,11,12] => [4,8]
[3,6,8,1,2,4,5,7,9,10,11,12] => [3,9]
[3,6,11,1,2,4,5,7,8,9,10,12] => [3,9]
[3,6,10,1,2,4,5,7,8,9,11,12] => [3,9]
[3,6,9,1,2,4,5,7,8,10,11,12] => [3,9]
[3,6,1,2,4,5,7,8,9,10,11,12] => [2,10]
[3,9,11,1,2,4,5,6,7,8,10,12] => [3,9]
[3,9,10,1,2,4,5,6,7,8,11,12] => [3,9]
[3,8,11,1,2,4,5,6,7,9,10,12] => [3,9]
[3,8,10,1,2,4,5,6,7,9,11,12] => [3,9]
[3,8,9,1,2,4,5,6,7,10,11,12] => [3,9]
[3,7,11,1,2,4,5,6,8,9,10,12] => [3,9]
[3,7,10,1,2,4,5,6,8,9,11,12] => [3,9]
[3,7,9,1,2,4,5,6,8,10,11,12] => [3,9]
[3,7,1,2,4,5,6,8,9,10,11,12] => [2,10]
[3,11,1,2,4,5,6,7,8,9,10,12] => [2,10]
[3,10,1,2,4,5,6,7,8,9,11,12] => [2,10]
[3,9,1,2,4,5,6,7,8,10,11,12] => [2,10]
[3,8,1,2,4,5,6,7,9,10,11,12] => [2,10]
[3,1,2,4,5,6,7,8,9,10,11,12] => [1,11]
[5,7,9,11,1,2,3,4,6,8,10,12] => [4,8]
[5,7,9,10,1,2,3,4,6,8,11,12] => [4,8]
[5,7,8,11,1,2,3,4,6,9,10,12] => [4,8]
[5,7,8,10,1,2,3,4,6,9,11,12] => [4,8]
[5,7,8,1,2,3,4,6,9,10,11,12] => [3,9]
[5,6,9,11,1,2,3,4,7,8,10,12] => [4,8]
[5,6,9,10,1,2,3,4,7,8,11,12] => [4,8]
[5,6,8,11,1,2,3,4,7,9,10,12] => [4,8]
[5,6,8,10,1,2,3,4,7,9,11,12] => [4,8]
[5,6,8,1,2,3,4,7,9,10,11,12] => [3,9]
[5,6,11,1,2,3,4,7,8,9,10,12] => [3,9]
[5,6,10,1,2,3,4,7,8,9,11,12] => [3,9]
[5,6,9,1,2,3,4,7,8,10,11,12] => [3,9]
[5,6,1,2,3,4,7,8,9,10,11,12] => [2,10]
[4,7,9,11,1,2,3,5,6,8,10,12] => [4,8]
[4,7,9,10,1,2,3,5,6,8,11,12] => [4,8]
[4,7,8,11,1,2,3,5,6,9,10,12] => [4,8]
[4,7,8,10,1,2,3,5,6,9,11,12] => [4,8]
[4,7,8,1,2,3,5,6,9,10,11,12] => [3,9]
[4,6,9,11,1,2,3,5,7,8,10,12] => [4,8]
[4,6,9,10,1,2,3,5,7,8,11,12] => [4,8]
[4,6,8,11,1,2,3,5,7,9,10,12] => [4,8]
[4,6,8,10,1,2,3,5,7,9,11,12] => [4,8]
[4,6,8,1,2,3,5,7,9,10,11,12] => [3,9]
[4,6,11,1,2,3,5,7,8,9,10,12] => [3,9]
[4,6,10,1,2,3,5,7,8,9,11,12] => [3,9]
[4,6,9,1,2,3,5,7,8,10,11,12] => [3,9]
[4,6,1,2,3,5,7,8,9,10,11,12] => [2,10]
[4,9,11,1,2,3,5,6,7,8,10,12] => [3,9]
[4,9,10,1,2,3,5,6,7,8,11,12] => [3,9]
[4,8,11,1,2,3,5,6,7,9,10,12] => [3,9]
[4,8,10,1,2,3,5,6,7,9,11,12] => [3,9]
[4,8,9,1,2,3,5,6,7,10,11,12] => [3,9]
[4,7,11,1,2,3,5,6,8,9,10,12] => [3,9]
[4,7,10,1,2,3,5,6,8,9,11,12] => [3,9]
[4,7,9,1,2,3,5,6,8,10,11,12] => [3,9]
[4,7,1,2,3,5,6,8,9,10,11,12] => [2,10]
[4,11,1,2,3,5,6,7,8,9,10,12] => [2,10]
[4,10,1,2,3,5,6,7,8,9,11,12] => [2,10]
[4,9,1,2,3,5,6,7,8,10,11,12] => [2,10]
[4,8,1,2,3,5,6,7,9,10,11,12] => [2,10]
[4,1,2,3,5,6,7,8,9,10,11,12] => [1,11]
[7,9,11,1,2,3,4,5,6,8,10,12] => [3,9]
[7,9,10,1,2,3,4,5,6,8,11,12] => [3,9]
[7,8,11,1,2,3,4,5,6,9,10,12] => [3,9]
[7,8,10,1,2,3,4,5,6,9,11,12] => [3,9]
[7,8,9,1,2,3,4,5,6,10,11,12] => [3,9]
[6,9,11,1,2,3,4,5,7,8,10,12] => [3,9]
[6,9,10,1,2,3,4,5,7,8,11,12] => [3,9]
[6,8,11,1,2,3,4,5,7,9,10,12] => [3,9]
[6,8,10,1,2,3,4,5,7,9,11,12] => [3,9]
[6,8,9,1,2,3,4,5,7,10,11,12] => [3,9]
[6,7,11,1,2,3,4,5,8,9,10,12] => [3,9]
[6,7,10,1,2,3,4,5,8,9,11,12] => [3,9]
[6,7,9,1,2,3,4,5,8,10,11,12] => [3,9]
[6,7,1,2,3,4,5,8,9,10,11,12] => [2,10]
[5,9,11,1,2,3,4,6,7,8,10,12] => [3,9]
[5,9,10,1,2,3,4,6,7,8,11,12] => [3,9]
[5,8,11,1,2,3,4,6,7,9,10,12] => [3,9]
[5,8,10,1,2,3,4,6,7,9,11,12] => [3,9]
[5,8,9,1,2,3,4,6,7,10,11,12] => [3,9]
[5,7,11,1,2,3,4,6,8,9,10,12] => [3,9]
[5,7,10,1,2,3,4,6,8,9,11,12] => [3,9]
[5,7,9,1,2,3,4,6,8,10,11,12] => [3,9]
[5,7,1,2,3,4,6,8,9,10,11,12] => [2,10]
[5,11,1,2,3,4,6,7,8,9,10,12] => [2,10]
[5,10,1,2,3,4,6,7,8,9,11,12] => [2,10]
[5,9,1,2,3,4,6,7,8,10,11,12] => [2,10]
[5,8,1,2,3,4,6,7,9,10,11,12] => [2,10]
[5,1,2,3,4,6,7,8,9,10,11,12] => [1,11]
[9,11,1,2,3,4,5,6,7,8,10,12] => [2,10]
[9,10,1,2,3,4,5,6,7,8,11,12] => [2,10]
[8,11,1,2,3,4,5,6,7,9,10,12] => [2,10]
[8,10,1,2,3,4,5,6,7,9,11,12] => [2,10]
[8,9,1,2,3,4,5,6,7,10,11,12] => [2,10]
[7,11,1,2,3,4,5,6,8,9,10,12] => [2,10]
[7,10,1,2,3,4,5,6,8,9,11,12] => [2,10]
[7,9,1,2,3,4,5,6,8,10,11,12] => [2,10]
[7,8,1,2,3,4,5,6,9,10,11,12] => [2,10]
[6,11,1,2,3,4,5,7,8,9,10,12] => [2,10]
[6,10,1,2,3,4,5,7,8,9,11,12] => [2,10]
[6,9,1,2,3,4,5,7,8,10,11,12] => [2,10]
[6,8,1,2,3,4,5,7,9,10,11,12] => [2,10]
[6,1,2,3,4,5,7,8,9,10,11,12] => [1,11]
[10,1,2,3,4,5,6,7,8,9,11,12] => [1,11]
[9,1,2,3,4,5,6,7,8,10,11,12] => [1,11]
[8,1,2,3,4,5,6,7,9,10,11,12] => [1,11]
[7,1,2,3,4,5,6,8,9,10,11,12] => [1,11]
[2,1,4,3,6,5,8,7,11,12,9,10] => [1,2,2,2,3,2]
[2,1,4,3,6,5,9,10,7,8,12,11] => [1,2,2,3,3,1]
[2,1,4,3,6,5,9,11,7,12,8,10] => [1,2,2,3,2,2]
[2,1,4,3,6,5,10,11,12,7,8,9] => [1,2,2,4,3]
[2,1,4,3,7,8,5,6,10,9,12,11] => [1,2,3,3,2,1]
[2,1,4,3,7,8,5,6,11,12,9,10] => [1,2,3,4,2]
[2,1,4,3,7,9,5,10,6,8,12,11] => [1,2,3,2,3,1]
[2,1,4,3,7,9,5,11,6,12,8,10] => [1,2,3,2,2,2]
[2,1,4,3,7,10,5,11,12,6,8,9] => [1,2,3,3,3]
[2,1,4,3,8,9,10,5,6,7,12,11] => [1,2,4,4,1]
[2,1,4,3,8,9,11,5,6,12,7,10] => [1,2,4,3,2]
[2,1,4,3,8,10,11,5,12,6,7,9] => [1,2,4,2,3]
[2,1,4,3,9,10,11,12,5,6,7,8] => [1,2,5,4]
[2,1,5,6,3,4,8,7,10,9,12,11] => [1,3,3,2,2,1]
[2,1,5,6,3,4,8,7,11,12,9,10] => [1,3,3,3,2]
[2,1,5,6,3,4,9,10,7,8,12,11] => [1,3,4,3,1]
[2,1,5,6,3,4,9,11,7,12,8,10] => [1,3,4,2,2]
[2,1,5,6,3,4,10,11,12,7,8,9] => [1,3,5,3]
[2,1,5,7,3,8,4,6,10,9,12,11] => [1,3,2,3,2,1]
[2,1,5,7,3,8,4,6,11,12,9,10] => [1,3,2,4,2]
[2,1,5,7,3,9,4,10,6,8,12,11] => [1,3,2,2,3,1]
[2,1,5,7,3,9,4,11,6,12,8,10] => [1,3,2,2,2,2]
[2,1,5,7,3,10,4,11,12,6,8,9] => [1,3,2,3,3]
[2,1,5,8,3,9,10,4,6,7,12,11] => [1,3,3,4,1]
[2,1,5,8,3,9,11,4,6,12,7,10] => [1,3,3,3,2]
[2,1,5,8,3,10,11,4,12,6,7,9] => [1,3,3,2,3]
[2,1,5,9,3,10,11,12,4,6,7,8] => [1,3,4,4]
[2,1,6,7,8,3,4,5,10,9,12,11] => [1,4,4,2,1]
[2,1,6,7,8,3,4,5,11,12,9,10] => [1,4,5,2]
[2,1,6,7,9,3,4,10,5,8,12,11] => [1,4,3,3,1]
[2,1,6,7,9,3,4,11,5,12,8,10] => [1,4,3,2,2]
[2,1,6,7,10,3,4,11,12,5,8,9] => [1,4,4,3]
[2,1,6,8,9,3,10,4,5,7,12,11] => [1,4,2,4,1]
[2,1,6,8,9,3,11,4,5,12,7,10] => [1,4,2,3,2]
[2,1,6,8,10,3,11,4,12,5,7,9] => [1,4,2,2,3]
[2,1,6,9,10,3,11,12,4,5,7,8] => [1,4,3,4]
[2,1,7,8,9,10,3,4,5,6,12,11] => [1,5,5,1]
[2,1,7,8,9,11,3,4,5,12,6,10] => [1,5,4,2]
[2,1,7,8,10,11,3,4,12,5,6,9] => [1,5,3,3]
[2,1,7,9,10,11,3,12,4,5,6,8] => [1,5,2,4]
[2,1,8,9,10,11,12,3,4,5,6,7] => [1,6,5]
[3,4,1,2,6,5,8,7,10,9,12,11] => [2,3,2,2,2,1]
[3,4,1,2,6,5,8,7,11,12,9,10] => [2,3,2,3,2]
[3,4,1,2,6,5,9,10,7,8,12,11] => [2,3,3,3,1]
[3,4,1,2,6,5,9,11,7,12,8,10] => [2,3,3,2,2]
[3,4,1,2,6,5,10,11,12,7,8,9] => [2,3,4,3]
[3,4,1,2,7,8,5,6,10,9,12,11] => [2,4,3,2,1]
[3,4,1,2,7,8,5,6,11,12,9,10] => [2,4,4,2]
[3,4,1,2,7,9,5,10,6,8,12,11] => [2,4,2,3,1]
[3,4,1,2,7,9,5,11,6,12,8,10] => [2,4,2,2,2]
[3,4,1,2,7,10,5,11,12,6,8,9] => [2,4,3,3]
[3,4,1,2,8,9,10,5,6,7,12,11] => [2,5,4,1]
[3,4,1,2,8,9,11,5,6,12,7,10] => [2,5,3,2]
[3,4,1,2,8,10,11,5,12,6,7,9] => [2,5,2,3]
[3,4,1,2,9,10,11,12,5,6,7,8] => [2,6,4]
[3,5,1,6,2,4,8,7,10,9,12,11] => [2,2,3,2,2,1]
[3,5,1,6,2,4,8,7,11,12,9,10] => [2,2,3,3,2]
[3,5,1,6,2,4,9,10,7,8,12,11] => [2,2,4,3,1]
[3,5,1,6,2,4,9,11,7,12,8,10] => [2,2,4,2,2]
[3,5,1,6,2,4,10,11,12,7,8,9] => [2,2,5,3]
[3,5,1,7,2,8,4,6,10,9,12,11] => [2,2,2,3,2,1]
[3,5,1,7,2,8,4,6,11,12,9,10] => [2,2,2,4,2]
[3,5,1,7,2,9,4,10,6,8,12,11] => [2,2,2,2,3,1]
[3,5,1,7,2,9,4,11,6,12,8,10] => [2,2,2,2,2,2]
[3,5,1,7,2,10,4,11,12,6,8,9] => [2,2,2,3,3]
[3,5,1,8,2,9,10,4,6,7,12,11] => [2,2,3,4,1]
[3,5,1,8,2,9,11,4,6,12,7,10] => [2,2,3,3,2]
[3,5,1,8,2,10,11,4,12,6,7,9] => [2,2,3,2,3]
[3,5,1,9,2,10,11,12,4,6,7,8] => [2,2,4,4]
[3,6,1,7,8,2,4,5,10,9,12,11] => [2,3,4,2,1]
[3,6,1,7,8,2,4,5,11,12,9,10] => [2,3,5,2]
[3,6,1,7,9,2,4,10,5,8,12,11] => [2,3,3,3,1]
[3,6,1,7,9,2,4,11,5,12,8,10] => [2,3,3,2,2]
[3,6,1,7,10,2,4,11,12,5,8,9] => [2,3,4,3]
[3,6,1,8,9,2,10,4,5,7,12,11] => [2,3,2,4,1]
[3,6,1,8,9,2,11,4,5,12,7,10] => [2,3,2,3,2]
[3,6,1,8,10,2,11,4,12,5,7,9] => [2,3,2,2,3]
[3,6,1,9,10,2,11,12,4,5,7,8] => [2,3,3,4]
[3,7,1,8,9,10,2,4,5,6,12,11] => [2,4,5,1]
[3,7,1,8,9,11,2,4,5,12,6,10] => [2,4,4,2]
[3,7,1,8,10,11,2,4,12,5,6,9] => [2,4,3,3]
[3,7,1,9,10,11,2,12,4,5,6,8] => [2,4,2,4]
[3,8,1,9,10,11,12,2,4,5,6,7] => [2,5,5]
[4,5,6,1,2,3,8,7,10,9,12,11] => [3,4,2,2,1]
[4,5,6,1,2,3,8,7,11,12,9,10] => [3,4,3,2]
[4,5,6,1,2,3,9,10,7,8,12,11] => [3,5,3,1]
[4,5,6,1,2,3,9,11,7,12,8,10] => [3,5,2,2]
[4,5,6,1,2,3,10,11,12,7,8,9] => [3,6,3]
[4,5,7,1,2,8,3,6,10,9,12,11] => [3,3,3,2,1]
[4,5,7,1,2,8,3,6,11,12,9,10] => [3,3,4,2]
[4,5,7,1,2,9,3,10,6,8,12,11] => [3,3,2,3,1]
[4,5,7,1,2,9,3,11,6,12,8,10] => [3,3,2,2,2]
[4,5,7,1,2,10,3,11,12,6,8,9] => [3,3,3,3]
[4,5,8,1,2,9,10,3,6,7,12,11] => [3,4,4,1]
[4,5,8,1,2,9,11,3,6,12,7,10] => [3,4,3,2]
[4,5,8,1,2,10,11,3,12,6,7,9] => [3,4,2,3]
[4,5,9,1,2,10,11,12,3,6,7,8] => [3,5,4]
[4,6,7,1,8,2,3,5,10,9,12,11] => [3,2,4,2,1]
[4,6,7,1,8,2,3,5,11,12,9,10] => [3,2,5,2]
[4,6,7,1,9,2,3,10,5,8,12,11] => [3,2,3,3,1]
[4,6,7,1,9,2,3,11,5,12,8,10] => [3,2,3,2,2]
[4,6,7,1,10,2,3,11,12,5,8,9] => [3,2,4,3]
[4,6,8,1,9,2,10,3,5,7,12,11] => [3,2,2,4,1]
[4,6,8,1,9,2,11,3,5,12,7,10] => [3,2,2,3,2]
[4,6,8,1,10,2,11,3,12,5,7,9] => [3,2,2,2,3]
[4,6,9,1,10,2,11,12,3,5,7,8] => [3,2,3,4]
[4,7,8,1,9,10,2,3,5,6,12,11] => [3,3,5,1]
[4,7,8,1,9,11,2,3,5,12,6,10] => [3,3,4,2]
[4,7,8,1,10,11,2,3,12,5,6,9] => [3,3,3,3]
[4,7,9,1,10,11,2,12,3,5,6,8] => [3,3,2,4]
[4,8,9,1,10,11,12,2,3,5,6,7] => [3,4,5]
[5,6,7,8,1,2,3,4,10,9,12,11] => [4,5,2,1]
[5,6,7,8,1,2,3,4,11,12,9,10] => [4,6,2]
[5,6,7,9,1,2,3,10,4,8,12,11] => [4,4,3,1]
[5,6,7,9,1,2,3,11,4,12,8,10] => [4,4,2,2]
[5,6,7,10,1,2,3,11,12,4,8,9] => [4,5,3]
[5,6,8,9,1,2,10,3,4,7,12,11] => [4,3,4,1]
[5,6,8,9,1,2,11,3,4,12,7,10] => [4,3,3,2]
[5,6,8,10,1,2,11,3,12,4,7,9] => [4,3,2,3]
[5,6,9,10,1,2,11,12,3,4,7,8] => [4,4,4]
[5,7,8,9,1,10,2,3,4,6,12,11] => [4,2,5,1]
[5,7,8,9,1,11,2,3,4,12,6,10] => [4,2,4,2]
[5,7,8,10,1,11,2,3,12,4,6,9] => [4,2,3,3]
[5,7,9,10,1,11,2,12,3,4,6,8] => [4,2,2,4]
[5,8,9,10,1,11,12,2,3,4,6,7] => [4,3,5]
[6,7,8,9,10,1,2,3,4,5,12,11] => [5,6,1]
[6,7,8,9,11,1,2,3,4,12,5,10] => [5,5,2]
[6,7,8,10,11,1,2,3,12,4,5,9] => [5,4,3]
[6,7,9,10,11,1,2,12,3,4,5,8] => [5,3,4]
[6,8,9,10,11,1,12,2,3,4,5,7] => [5,2,5]
[7,8,9,10,12,11,1,2,3,4,6,5] => [5,1,5,1]
[7,8,9,11,10,12,1,2,3,5,4,6] => [4,2,4,2]
[7,8,9,11,12,10,1,2,3,6,4,5] => [5,1,4,2]
[7,8,10,9,11,12,1,2,4,3,5,6] => [3,3,3,3]
[7,8,10,9,12,11,1,2,4,3,6,5] => [3,2,1,3,2,1]
[7,8,10,11,9,12,1,2,5,3,4,6] => [4,2,3,3]
[7,8,10,11,12,9,1,2,6,3,4,5] => [5,1,3,3]
[7,8,10,12,11,9,1,2,6,3,5,4] => [4,1,1,3,2,1]
[7,8,11,10,9,12,1,2,5,4,3,6] => [3,1,2,3,1,2]
[7,8,11,10,12,9,1,2,6,4,3,5] => [3,2,1,3,1,2]
[7,8,11,12,10,9,1,2,6,5,3,4] => [4,1,1,3,1,2]
[7,8,12,11,10,9,1,2,6,5,4,3] => [3,1,1,1,3,1,1,1]
[7,9,8,10,11,12,1,3,2,4,5,6] => [2,4,2,4]
[7,9,8,10,12,11,1,3,2,4,6,5] => [2,3,1,2,3,1]
[7,9,8,11,10,12,1,3,2,5,4,6] => [2,2,2,2,2,2]
[7,9,8,11,12,10,1,3,2,6,4,5] => [2,3,1,2,2,2]
[7,9,8,12,11,10,1,3,2,6,5,4] => [2,2,1,1,2,2,1,1]
[7,9,10,8,11,12,1,4,2,3,5,6] => [3,3,2,4]
[7,9,10,8,12,11,1,4,2,3,6,5] => [3,2,1,2,3,1]
[7,9,10,11,8,12,1,5,2,3,4,6] => [4,2,2,4]
[7,9,10,11,12,8,1,6,2,3,4,5] => [5,1,2,4]
[7,9,10,12,11,8,1,6,2,3,5,4] => [4,1,1,2,3,1]
[7,9,11,10,8,12,1,5,2,4,3,6] => [3,1,2,2,2,2]
[7,9,11,10,12,8,1,6,2,4,3,5] => [3,2,1,2,2,2]
[7,9,11,12,10,8,1,6,2,5,3,4] => [4,1,1,2,2,2]
[7,9,12,11,10,8,1,6,2,5,4,3] => [3,1,1,1,2,2,1,1]
[7,10,9,8,11,12,1,4,3,2,5,6] => [2,1,3,2,1,3]
[7,10,9,8,12,11,1,4,3,2,6,5] => [2,1,2,1,2,1,2,1]
[7,10,9,11,8,12,1,5,3,2,4,6] => [2,2,2,2,1,3]
[7,10,9,11,12,8,1,6,3,2,4,5] => [2,3,1,2,1,3]
[7,10,9,12,11,8,1,6,3,2,5,4] => [2,2,1,1,2,1,2,1]
[7,10,11,9,8,12,1,5,4,2,3,6] => [3,1,2,2,1,3]
[7,10,11,9,12,8,1,6,4,2,3,5] => [3,2,1,2,1,3]
[7,10,11,12,9,8,1,6,5,2,3,4] => [4,1,1,2,1,3]
[7,10,12,11,9,8,1,6,5,2,4,3] => [3,1,1,1,2,1,2,1]
[7,11,10,9,8,12,1,5,4,3,2,6] => [2,1,1,2,2,1,1,2]
[7,11,10,9,12,8,1,6,4,3,2,5] => [2,1,2,1,2,1,1,2]
[7,11,10,12,9,8,1,6,5,3,2,4] => [2,2,1,1,2,1,1,2]
[7,11,12,10,9,8,1,6,5,4,2,3] => [3,1,1,1,2,1,1,2]
[7,12,11,10,9,8,1,6,5,4,3,2] => [2,1,1,1,1,2,1,1,1,1]
[8,7,9,10,11,12,2,1,3,4,5,6] => [1,5,1,5]
[8,7,9,10,12,11,2,1,3,4,6,5] => [1,4,1,1,4,1]
[8,7,9,11,10,12,2,1,3,5,4,6] => [1,3,2,1,3,2]
[8,7,9,11,12,10,2,1,3,6,4,5] => [1,4,1,1,3,2]
[8,7,9,12,11,10,2,1,3,6,5,4] => [1,3,1,1,1,3,1,1]
[8,7,10,9,11,12,2,1,4,3,5,6] => [1,2,3,1,2,3]
[8,7,10,9,12,11,2,1,4,3,6,5] => [1,2,2,1,1,2,2,1]
[8,7,10,11,9,12,2,1,5,3,4,6] => [1,3,2,1,2,3]
[8,7,10,11,12,9,2,1,6,3,4,5] => [1,4,1,1,2,3]
[8,7,10,12,11,9,2,1,6,3,5,4] => [1,3,1,1,1,2,2,1]
[8,7,11,10,9,12,2,1,5,4,3,6] => [1,2,1,2,1,2,1,2]
[8,7,11,10,12,9,2,1,6,4,3,5] => [1,2,2,1,1,2,1,2]
[8,7,11,12,10,9,2,1,6,5,3,4] => [1,3,1,1,1,2,1,2]
[8,7,12,11,10,9,2,1,6,5,4,3] => [1,2,1,1,1,1,2,1,1,1]
[8,9,7,10,11,12,3,1,2,4,5,6] => [2,4,1,5]
[8,9,7,10,12,11,3,1,2,4,6,5] => [2,3,1,1,4,1]
[8,9,7,11,10,12,3,1,2,5,4,6] => [2,2,2,1,3,2]
[8,9,7,11,12,10,3,1,2,6,4,5] => [2,3,1,1,3,2]
[8,9,7,12,11,10,3,1,2,6,5,4] => [2,2,1,1,1,3,1,1]
[8,9,10,7,11,12,4,1,2,3,5,6] => [3,3,1,5]
[8,9,10,7,12,11,4,1,2,3,6,5] => [3,2,1,1,4,1]
[8,9,10,11,7,12,5,1,2,3,4,6] => [4,2,1,5]
[8,9,10,11,12,7,6,1,2,3,4,5] => [5,1,1,5]
[8,9,10,12,11,7,6,1,2,3,5,4] => [4,1,1,1,4,1]
[8,9,11,10,7,12,5,1,2,4,3,6] => [3,1,2,1,3,2]
[8,9,11,10,12,7,6,1,2,4,3,5] => [3,2,1,1,3,2]
[8,9,11,12,10,7,6,1,2,5,3,4] => [4,1,1,1,3,2]
[8,9,12,11,10,7,6,1,2,5,4,3] => [3,1,1,1,1,3,1,1]
[8,10,9,7,11,12,4,1,3,2,5,6] => [2,1,3,1,2,3]
[8,10,9,7,12,11,4,1,3,2,6,5] => [2,1,2,1,1,2,2,1]
[8,10,9,11,7,12,5,1,3,2,4,6] => [2,2,2,1,2,3]
[8,10,9,11,12,7,6,1,3,2,4,5] => [2,3,1,1,2,3]
[8,10,9,12,11,7,6,1,3,2,5,4] => [2,2,1,1,1,2,2,1]
[8,10,11,9,7,12,5,1,4,2,3,6] => [3,1,2,1,2,3]
[8,10,11,9,12,7,6,1,4,2,3,5] => [3,2,1,1,2,3]
[8,10,11,12,9,7,6,1,5,2,3,4] => [4,1,1,1,2,3]
[8,10,12,11,9,7,6,1,5,2,4,3] => [3,1,1,1,1,2,2,1]
[8,11,10,9,7,12,5,1,4,3,2,6] => [2,1,1,2,1,2,1,2]
[8,11,10,9,12,7,6,1,4,3,2,5] => [2,1,2,1,1,2,1,2]
[8,11,10,12,9,7,6,1,5,3,2,4] => [2,2,1,1,1,2,1,2]
[8,11,12,10,9,7,6,1,5,4,2,3] => [3,1,1,1,1,2,1,2]
[8,12,11,10,9,7,6,1,5,4,3,2] => [2,1,1,1,1,1,2,1,1,1]
[9,8,7,10,12,11,3,2,1,4,6,5] => [1,1,3,1,1,1,3,1]
[9,8,7,11,10,12,3,2,1,5,4,6] => [1,1,2,2,1,1,2,2]
[9,8,7,11,12,10,3,2,1,6,4,5] => [1,1,3,1,1,1,2,2]
[9,8,7,12,11,10,3,2,1,6,5,4] => [1,1,2,1,1,1,1,2,1,1]
[9,8,10,7,11,12,4,2,1,3,5,6] => [1,2,3,1,1,4]
[9,8,10,7,12,11,4,2,1,3,6,5] => [1,2,2,1,1,1,3,1]
[9,8,10,11,7,12,5,2,1,3,4,6] => [1,3,2,1,1,4]
[9,8,10,11,12,7,6,2,1,3,4,5] => [1,4,1,1,1,4]
[9,8,10,12,11,7,6,2,1,3,5,4] => [1,3,1,1,1,1,3,1]
[9,8,11,10,7,12,5,2,1,4,3,6] => [1,2,1,2,1,1,2,2]
[9,8,11,10,12,7,6,2,1,4,3,5] => [1,2,2,1,1,1,2,2]
[9,8,11,12,10,7,6,2,1,5,3,4] => [1,3,1,1,1,1,2,2]
[9,8,12,11,10,7,6,2,1,5,4,3] => [1,2,1,1,1,1,1,2,1,1]
[9,10,8,7,11,12,4,3,1,2,5,6] => [2,1,3,1,1,4]
[9,10,8,7,12,11,4,3,1,2,6,5] => [2,1,2,1,1,1,3,1]
[9,10,8,11,7,12,5,3,1,2,4,6] => [2,2,2,1,1,4]
[9,10,8,11,12,7,6,3,1,2,4,5] => [2,3,1,1,1,4]
[9,10,8,12,11,7,6,3,1,2,5,4] => [2,2,1,1,1,1,3,1]
[9,10,11,8,7,12,5,4,1,2,3,6] => [3,1,2,1,1,4]
[9,10,11,8,12,7,6,4,1,2,3,5] => [3,2,1,1,1,4]
[9,10,11,12,8,7,6,5,1,2,3,4] => [4,1,1,1,1,4]
[9,10,12,11,8,7,6,5,1,2,4,3] => [3,1,1,1,1,1,3,1]
[9,11,10,8,7,12,5,4,1,3,2,6] => [2,1,1,2,1,1,2,2]
[9,11,10,8,12,7,6,4,1,3,2,5] => [2,1,2,1,1,1,2,2]
[9,11,10,12,8,7,6,5,1,3,2,4] => [2,2,1,1,1,1,2,2]
[9,11,12,10,8,7,6,5,1,4,2,3] => [3,1,1,1,1,1,2,2]
[9,12,11,10,8,7,6,5,1,4,3,2] => [2,1,1,1,1,1,1,2,1,1]
[10,9,8,7,11,12,4,3,2,1,5,6] => [1,1,1,3,1,1,1,3]
[10,9,8,7,12,11,4,3,2,1,6,5] => [1,1,1,2,1,1,1,1,2,1]
[10,9,8,11,7,12,5,3,2,1,4,6] => [1,1,2,2,1,1,1,3]
[10,9,8,11,12,7,6,3,2,1,4,5] => [1,1,3,1,1,1,1,3]
[10,9,8,12,11,7,6,3,2,1,5,4] => [1,1,2,1,1,1,1,1,2,1]
[10,9,11,8,7,12,5,4,2,1,3,6] => [1,2,1,2,1,1,1,3]
[10,9,11,8,12,7,6,4,2,1,3,5] => [1,2,2,1,1,1,1,3]
[10,9,11,12,8,7,6,5,2,1,3,4] => [1,3,1,1,1,1,1,3]
[10,9,12,11,8,7,6,5,2,1,4,3] => [1,2,1,1,1,1,1,1,2,1]
[10,11,9,8,7,12,5,4,3,1,2,6] => [2,1,1,2,1,1,1,3]
[10,11,9,8,12,7,6,4,3,1,2,5] => [2,1,2,1,1,1,1,3]
[10,11,9,12,8,7,6,5,3,1,2,4] => [2,2,1,1,1,1,1,3]
[10,11,12,9,8,7,6,5,4,1,2,3] => [3,1,1,1,1,1,1,3]
[10,12,11,9,8,7,6,5,4,1,3,2] => [2,1,1,1,1,1,1,1,2,1]
[11,10,9,8,7,12,5,4,3,2,1,6] => [1,1,1,1,2,1,1,1,1,2]
[11,10,9,8,12,7,6,4,3,2,1,5] => [1,1,1,2,1,1,1,1,1,2]
[11,10,9,12,8,7,6,5,3,2,1,4] => [1,1,2,1,1,1,1,1,1,2]
[11,10,12,9,8,7,6,5,4,2,1,3] => [1,2,1,1,1,1,1,1,1,2]
[11,12,10,9,8,7,6,5,4,3,1,2] => [2,1,1,1,1,1,1,1,1,2]
[1,2,3,4,5,6,7,8,9,12,10,11] => [10,2]
[12,1,3,4,5,6,7,8,9,10,11,2] => [1,10,1]
[3,2,5,4,7,6,9,8,11,10,1,12] => [1,2,2,2,2,1,2]
[3,2,5,4,7,6,9,8,1,12,10,11] => [1,2,2,2,1,2,2]
[3,2,5,4,7,6,11,10,8,9,1,12] => [1,2,2,2,1,2,2]
[3,2,5,4,7,6,1,10,8,12,9,11] => [1,2,2,1,2,2,2]
[3,2,5,4,7,6,1,12,11,8,9,10] => [1,2,2,1,2,1,3]
[3,2,5,4,9,8,6,7,11,10,1,12] => [1,2,2,1,3,1,2]
[3,2,5,4,9,8,6,7,1,12,10,11] => [1,2,2,1,2,2,2]
[3,2,5,4,11,8,6,10,7,9,1,12] => [1,2,2,1,2,2,2]
[3,2,5,4,1,8,6,10,7,12,9,11] => [1,2,1,2,2,2,2]
[3,2,5,4,1,8,6,12,11,7,9,10] => [1,2,1,2,2,1,3]
[3,2,5,4,11,10,9,6,7,8,1,12] => [1,2,2,1,1,3,2]
[3,2,5,4,1,10,9,6,7,12,8,11] => [1,2,1,2,1,3,2]
[3,2,5,4,1,12,9,6,11,7,8,10] => [1,2,1,2,1,2,3]
[3,2,5,4,1,12,11,10,6,7,8,9] => [1,2,1,2,1,1,4]
[3,2,7,6,4,5,9,8,11,10,1,12] => [1,2,1,3,2,1,2]
[3,2,7,6,4,5,9,8,1,12,10,11] => [1,2,1,3,1,2,2]
[3,2,7,6,4,5,11,10,8,9,1,12] => [1,2,1,3,1,2,2]
[3,2,7,6,4,5,1,10,8,12,9,11] => [1,2,1,2,2,2,2]
[3,2,7,6,4,5,1,12,11,8,9,10] => [1,2,1,2,2,1,3]
[3,2,9,6,4,8,5,7,11,10,1,12] => [1,2,1,2,3,1,2]
[3,2,9,6,4,8,5,7,1,12,10,11] => [1,2,1,2,2,2,2]
[3,2,11,6,4,8,5,10,7,9,1,12] => [1,2,1,2,2,2,2]
[3,2,1,6,4,8,5,10,7,12,9,11] => [1,1,2,2,2,2,2]
[3,2,1,6,4,8,5,12,11,7,9,10] => [1,1,2,2,2,1,3]
[3,2,11,6,4,10,9,5,7,8,1,12] => [1,2,1,2,1,3,2]
[3,2,1,6,4,10,9,5,7,12,8,11] => [1,1,2,2,1,3,2]
[3,2,1,6,4,12,9,5,11,7,8,10] => [1,1,2,2,1,2,3]
[3,2,1,6,4,12,11,10,5,7,8,9] => [1,1,2,2,1,1,4]
[3,2,9,8,7,4,5,6,11,10,1,12] => [1,2,1,1,4,1,2]
[3,2,9,8,7,4,5,6,1,12,10,11] => [1,2,1,1,3,2,2]
[3,2,11,8,7,4,5,10,6,9,1,12] => [1,2,1,1,3,2,2]
[3,2,1,8,7,4,5,10,6,12,9,11] => [1,1,2,1,3,2,2]
[3,2,1,8,7,4,5,12,11,6,9,10] => [1,1,2,1,3,1,3]
[3,2,11,10,7,4,9,5,6,8,1,12] => [1,2,1,1,2,3,2]
[3,2,1,10,7,4,9,5,6,12,8,11] => [1,1,2,1,2,3,2]
[3,2,1,12,7,4,9,5,11,6,8,10] => [1,1,2,1,2,2,3]
[3,2,1,12,7,4,11,10,5,6,8,9] => [1,1,2,1,2,1,4]
[3,2,11,10,9,8,4,5,6,7,1,12] => [1,2,1,1,1,4,2]
[3,2,1,10,9,8,4,5,6,12,7,11] => [1,1,2,1,1,4,2]
[3,2,1,12,9,8,4,5,11,6,7,10] => [1,1,2,1,1,3,3]
[3,2,1,12,11,8,4,10,5,6,7,9] => [1,1,2,1,1,2,4]
[3,2,1,12,11,10,9,4,5,6,7,8] => [1,1,2,1,1,1,5]
[5,4,2,3,7,6,9,8,11,10,1,12] => [1,1,3,2,2,1,2]
[5,4,2,3,7,6,9,8,1,12,10,11] => [1,1,3,2,1,2,2]
[5,4,2,3,7,6,11,10,8,9,1,12] => [1,1,3,2,1,2,2]
[5,4,2,3,7,6,1,10,8,12,9,11] => [1,1,3,1,2,2,2]
[5,4,2,3,7,6,1,12,11,8,9,10] => [1,1,3,1,2,1,3]
[5,4,2,3,9,8,6,7,11,10,1,12] => [1,1,3,1,3,1,2]
[5,4,2,3,9,8,6,7,1,12,10,11] => [1,1,3,1,2,2,2]
[5,4,2,3,11,8,6,10,7,9,1,12] => [1,1,3,1,2,2,2]
[5,4,2,3,1,8,6,10,7,12,9,11] => [1,1,2,2,2,2,2]
[5,4,2,3,1,8,6,12,11,7,9,10] => [1,1,2,2,2,1,3]
[5,4,2,3,11,10,9,6,7,8,1,12] => [1,1,3,1,1,3,2]
[5,4,2,3,1,10,9,6,7,12,8,11] => [1,1,2,2,1,3,2]
[5,4,2,3,1,12,9,6,11,7,8,10] => [1,1,2,2,1,2,3]
[5,4,2,3,1,12,11,10,6,7,8,9] => [1,1,2,2,1,1,4]
[7,4,2,6,3,5,9,8,11,10,1,12] => [1,1,2,3,2,1,2]
[7,4,2,6,3,5,9,8,1,12,10,11] => [1,1,2,3,1,2,2]
[7,4,2,6,3,5,11,10,8,9,1,12] => [1,1,2,3,1,2,2]
[7,4,2,6,3,5,1,10,8,12,9,11] => [1,1,2,2,2,2,2]
[7,4,2,6,3,5,1,12,11,8,9,10] => [1,1,2,2,2,1,3]
[9,4,2,6,3,8,5,7,11,10,1,12] => [1,1,2,2,3,1,2]
[9,4,2,6,3,8,5,7,1,12,10,11] => [1,1,2,2,2,2,2]
[11,4,2,6,3,8,5,10,7,9,1,12] => [1,1,2,2,2,2,2]
[1,4,2,6,3,8,5,10,7,12,9,11] => [2,2,2,2,2,2]
[1,4,2,6,3,8,5,12,11,7,9,10] => [2,2,2,2,1,3]
[11,4,2,6,3,10,9,5,7,8,1,12] => [1,1,2,2,1,3,2]
[1,4,2,6,3,10,9,5,7,12,8,11] => [2,2,2,1,3,2]
[1,4,2,6,3,12,9,5,11,7,8,10] => [2,2,2,1,2,3]
[1,4,2,6,3,12,11,10,5,7,8,9] => [2,2,2,1,1,4]
[9,4,2,8,7,3,5,6,11,10,1,12] => [1,1,2,1,4,1,2]
[9,4,2,8,7,3,5,6,1,12,10,11] => [1,1,2,1,3,2,2]
[11,4,2,8,7,3,5,10,6,9,1,12] => [1,1,2,1,3,2,2]
[1,4,2,8,7,3,5,10,6,12,9,11] => [2,2,1,3,2,2]
[1,4,2,8,7,3,5,12,11,6,9,10] => [2,2,1,3,1,3]
[11,4,2,10,7,3,9,5,6,8,1,12] => [1,1,2,1,2,3,2]
[1,4,2,10,7,3,9,5,6,12,8,11] => [2,2,1,2,3,2]
[1,4,2,12,7,3,9,5,11,6,8,10] => [2,2,1,2,2,3]
[1,4,2,12,7,3,11,10,5,6,8,9] => [2,2,1,2,1,4]
[11,4,2,10,9,8,3,5,6,7,1,12] => [1,1,2,1,1,4,2]
[1,4,2,10,9,8,3,5,6,12,7,11] => [2,2,1,1,4,2]
[1,4,2,12,9,8,3,5,11,6,7,10] => [2,2,1,1,3,3]
[1,4,2,12,11,8,3,10,5,6,7,9] => [2,2,1,1,2,4]
[1,4,2,12,11,10,9,3,5,6,7,8] => [2,2,1,1,1,5]
[7,6,5,2,3,4,9,8,11,10,1,12] => [1,1,1,4,2,1,2]
[7,6,5,2,3,4,9,8,1,12,10,11] => [1,1,1,4,1,2,2]
[7,6,5,2,3,4,11,10,8,9,1,12] => [1,1,1,4,1,2,2]
[7,6,5,2,3,4,1,10,8,12,9,11] => [1,1,1,3,2,2,2]
[7,6,5,2,3,4,1,12,11,8,9,10] => [1,1,1,3,2,1,3]
[9,6,5,2,3,8,4,7,11,10,1,12] => [1,1,1,3,3,1,2]
[9,6,5,2,3,8,4,7,1,12,10,11] => [1,1,1,3,2,2,2]
[11,6,5,2,3,8,4,10,7,9,1,12] => [1,1,1,3,2,2,2]
[1,6,5,2,3,8,4,10,7,12,9,11] => [2,1,3,2,2,2]
[1,6,5,2,3,8,4,12,11,7,9,10] => [2,1,3,2,1,3]
[11,6,5,2,3,10,9,4,7,8,1,12] => [1,1,1,3,1,3,2]
[1,6,5,2,3,10,9,4,7,12,8,11] => [2,1,3,1,3,2]
[1,6,5,2,3,12,9,4,11,7,8,10] => [2,1,3,1,2,3]
[1,6,5,2,3,12,11,10,4,7,8,9] => [2,1,3,1,1,4]
[9,8,5,2,7,3,4,6,11,10,1,12] => [1,1,1,2,4,1,2]
[9,8,5,2,7,3,4,6,1,12,10,11] => [1,1,1,2,3,2,2]
[11,8,5,2,7,3,4,10,6,9,1,12] => [1,1,1,2,3,2,2]
[1,8,5,2,7,3,4,10,6,12,9,11] => [2,1,2,3,2,2]
[1,8,5,2,7,3,4,12,11,6,9,10] => [2,1,2,3,1,3]
[11,10,5,2,7,3,9,4,6,8,1,12] => [1,1,1,2,2,3,2]
[1,10,5,2,7,3,9,4,6,12,8,11] => [2,1,2,2,3,2]
[1,12,5,2,7,3,9,4,11,6,8,10] => [2,1,2,2,2,3]
[1,12,5,2,7,3,11,10,4,6,8,9] => [2,1,2,2,1,4]
[11,10,5,2,9,8,3,4,6,7,1,12] => [1,1,1,2,1,4,2]
[1,10,5,2,9,8,3,4,6,12,7,11] => [2,1,2,1,4,2]
[1,12,5,2,9,8,3,4,11,6,7,10] => [2,1,2,1,3,3]
[1,12,5,2,11,8,3,10,4,6,7,9] => [2,1,2,1,2,4]
[1,12,5,2,11,10,9,3,4,6,7,8] => [2,1,2,1,1,5]
[9,8,7,6,2,3,4,5,11,10,1,12] => [1,1,1,1,5,1,2]
[9,8,7,6,2,3,4,5,1,12,10,11] => [1,1,1,1,4,2,2]
[11,8,7,6,2,3,4,10,5,9,1,12] => [1,1,1,1,4,2,2]
[1,8,7,6,2,3,4,10,5,12,9,11] => [2,1,1,4,2,2]
[1,8,7,6,2,3,4,12,11,5,9,10] => [2,1,1,4,1,3]
[11,10,7,6,2,3,9,4,5,8,1,12] => [1,1,1,1,3,3,2]
[1,10,7,6,2,3,9,4,5,12,8,11] => [2,1,1,3,3,2]
[1,12,7,6,2,3,9,4,11,5,8,10] => [2,1,1,3,2,3]
[1,12,7,6,2,3,11,10,4,5,8,9] => [2,1,1,3,1,4]
[11,10,9,6,2,8,3,4,5,7,1,12] => [1,1,1,1,2,4,2]
[1,10,9,6,2,8,3,4,5,12,7,11] => [2,1,1,2,4,2]
[1,12,9,6,2,8,3,4,11,5,7,10] => [2,1,1,2,3,3]
[1,12,11,6,2,8,3,10,4,5,7,9] => [2,1,1,2,2,4]
[1,12,11,6,2,10,9,3,4,5,7,8] => [2,1,1,2,1,5]
[11,10,9,8,7,2,3,4,5,6,1,12] => [1,1,1,1,1,5,2]
[1,10,9,8,7,2,3,4,5,12,6,11] => [2,1,1,1,5,2]
[1,12,9,8,7,2,3,4,11,5,6,10] => [2,1,1,1,4,3]
[1,12,11,8,7,2,3,10,4,5,6,9] => [2,1,1,1,3,4]
[1,12,11,10,7,2,9,3,4,5,6,8] => [2,1,1,1,2,5]
[1,12,11,10,9,8,2,3,4,5,6,7] => [2,1,1,1,1,6]
[1,3,12,4,6,11,7,9,10,8,5,2] => [3,3,3,1,1,1]
[1,3,12,4,6,11,8,9,7,10,5,2] => [3,3,2,2,1,1]
[1,3,12,4,8,6,7,11,9,10,5,2] => [3,2,3,2,1,1]
[1,3,12,4,10,6,8,9,7,11,5,2] => [3,2,3,2,1,1]
[1,3,12,4,10,7,8,6,9,11,5,2] => [3,2,2,3,1,1]
[1,3,12,5,6,4,8,11,9,10,7,2] => [3,2,3,2,1,1]
[1,3,12,5,6,4,10,8,9,11,7,2] => [3,2,2,3,1,1]
[1,3,12,5,8,6,7,4,10,11,9,2] => [3,2,2,3,1,1]
[1,3,12,7,5,6,8,4,10,11,9,2] => [3,1,3,3,1,1]
[1,3,12,5,10,6,8,9,7,4,11,2] => [3,2,3,1,2,1]
[1,3,12,5,10,7,8,6,9,4,11,2] => [3,2,2,2,2,1]
[1,3,12,7,5,6,10,8,9,4,11,2] => [3,1,3,2,2,1]
[1,3,12,9,5,7,8,6,10,4,11,2] => [3,1,3,2,2,1]
[1,3,12,9,6,7,5,8,10,4,11,2] => [3,1,2,3,2,1]
[1,5,3,4,12,6,8,11,9,10,7,2] => [2,3,3,2,1,1]
[1,5,3,4,12,6,10,8,9,11,7,2] => [2,3,2,3,1,1]
[1,5,3,4,12,7,8,6,10,11,9,2] => [2,3,2,3,1,1]
[1,5,3,4,12,7,10,8,9,6,11,2] => [2,3,2,2,2,1]
[1,5,3,4,12,9,7,8,10,6,11,2] => [2,3,1,3,2,1]
[1,7,3,5,6,4,12,8,10,11,9,2] => [2,3,2,3,1,1]
[1,7,3,5,6,4,12,9,10,8,11,2] => [2,3,2,2,2,1]
[1,7,4,5,3,6,12,8,10,11,9,2] => [2,2,3,3,1,1]
[1,7,4,5,3,6,12,9,10,8,11,2] => [2,2,3,2,2,1]
[1,9,3,5,8,6,7,4,12,10,11,2] => [2,3,2,2,2,1]
[1,9,3,7,5,6,8,4,12,10,11,2] => [2,2,3,2,2,1]
[1,9,4,5,3,7,8,6,12,10,11,2] => [2,2,3,2,2,1]
[1,9,4,7,5,6,3,8,12,10,11,2] => [2,2,2,3,2,1]
[1,9,6,4,5,7,3,8,12,10,11,2] => [2,1,3,3,2,1]
[1,11,3,5,10,6,8,9,7,4,12,2] => [2,3,3,1,2,1]
[1,11,3,5,10,7,8,6,9,4,12,2] => [2,3,2,2,2,1]
[1,11,3,7,5,6,10,8,9,4,12,2] => [2,2,3,2,2,1]
[1,11,3,9,5,7,8,6,10,4,12,2] => [2,2,3,2,2,1]
[1,11,3,9,6,7,5,8,10,4,12,2] => [2,2,2,3,2,1]
[1,11,4,5,3,7,10,8,9,6,12,2] => [2,2,3,2,2,1]
[1,11,4,5,3,9,7,8,10,6,12,2] => [2,2,2,3,2,1]
[1,11,4,7,5,6,3,9,10,8,12,2] => [2,2,2,3,2,1]
[1,11,6,4,5,7,3,9,10,8,12,2] => [2,1,3,3,2,1]
[1,11,4,9,5,7,8,6,3,10,12,2] => [2,2,3,1,3,1]
[1,11,4,9,6,7,5,8,3,10,12,2] => [2,2,2,2,3,1]
[1,11,6,4,5,9,7,8,3,10,12,2] => [2,1,3,2,3,1]
[1,11,8,4,6,7,5,9,3,10,12,2] => [2,1,3,2,3,1]
[1,11,8,5,6,4,7,9,3,10,12,2] => [2,1,2,3,3,1]
[2,3,1,5,12,6,8,11,9,10,7,4] => [2,3,3,2,1,1]
[2,3,1,5,12,6,10,8,9,11,7,4] => [2,3,2,3,1,1]
[2,3,1,5,12,7,8,6,10,11,9,4] => [2,3,2,3,1,1]
[2,3,1,5,12,7,10,8,9,6,11,4] => [2,3,2,2,2,1]
[2,3,1,5,12,9,7,8,10,6,11,4] => [2,3,1,3,2,1]
[2,3,1,7,5,6,12,8,10,11,9,4] => [2,2,3,3,1,1]
[2,3,1,7,5,6,12,9,10,8,11,4] => [2,2,3,2,2,1]
[2,3,1,9,5,7,8,6,12,10,11,4] => [2,2,3,2,2,1]
[2,3,1,9,6,7,5,8,12,10,11,4] => [2,2,2,3,2,1]
[2,3,1,11,5,7,10,8,9,6,12,4] => [2,2,3,2,2,1]
[2,3,1,11,5,9,7,8,10,6,12,4] => [2,2,2,3,2,1]
[2,3,1,11,6,7,5,9,10,8,12,4] => [2,2,2,3,2,1]
[2,3,1,11,6,9,7,8,5,10,12,4] => [2,2,2,2,3,1]
[2,3,1,11,8,6,7,9,5,10,12,4] => [2,2,1,3,3,1]
[2,5,3,4,1,7,12,8,10,11,9,6] => [2,2,3,3,1,1]
[2,5,3,4,1,7,12,9,10,8,11,6] => [2,2,3,2,2,1]
[2,5,3,4,1,9,7,8,12,10,11,6] => [2,2,2,3,2,1]
[2,5,3,4,1,11,7,9,10,8,12,6] => [2,2,2,3,2,1]
[2,5,3,4,1,11,8,9,7,10,12,6] => [2,2,2,2,3,1]
[4,2,3,5,1,7,12,8,10,11,9,6] => [1,3,3,3,1,1]
[4,2,3,5,1,7,12,9,10,8,11,6] => [1,3,3,2,2,1]
[4,2,3,5,1,9,7,8,12,10,11,6] => [1,3,2,3,2,1]
[4,2,3,5,1,11,7,9,10,8,12,6] => [1,3,2,3,2,1]
[4,2,3,5,1,11,8,9,7,10,12,6] => [1,3,2,2,3,1]
[2,7,3,5,6,4,1,9,12,10,11,8] => [2,3,1,3,2,1]
[2,7,3,5,6,4,1,11,9,10,12,8] => [2,3,1,2,3,1]
[2,7,4,5,3,6,1,9,12,10,11,8] => [2,2,2,3,2,1]
[2,7,4,5,3,6,1,11,9,10,12,8] => [2,2,2,2,3,1]
[4,2,3,7,5,6,1,9,12,10,11,8] => [1,3,2,3,2,1]
[4,2,3,7,5,6,1,11,9,10,12,8] => [1,3,2,2,3,1]
[6,2,4,5,3,7,1,9,12,10,11,8] => [1,3,2,3,2,1]
[6,2,4,5,3,7,1,11,9,10,12,8] => [1,3,2,2,3,1]
[6,3,4,2,5,7,1,9,12,10,11,8] => [1,2,3,3,2,1]
[6,3,4,2,5,7,1,11,9,10,12,8] => [1,2,3,2,3,1]
[2,9,3,5,8,6,7,4,1,11,12,10] => [2,3,2,1,3,1]
[2,9,3,7,5,6,8,4,1,11,12,10] => [2,2,3,1,3,1]
[2,9,4,5,3,7,8,6,1,11,12,10] => [2,2,3,1,3,1]
[2,9,4,7,5,6,3,8,1,11,12,10] => [2,2,2,2,3,1]
[2,9,6,4,5,7,3,8,1,11,12,10] => [2,1,3,2,3,1]
[4,2,3,9,5,7,8,6,1,11,12,10] => [1,3,3,1,3,1]
[4,2,3,9,6,7,5,8,1,11,12,10] => [1,3,2,2,3,1]
[6,2,4,5,3,9,7,8,1,11,12,10] => [1,3,2,2,3,1]
[6,3,4,2,5,9,7,8,1,11,12,10] => [1,2,3,2,3,1]
[8,2,4,7,5,6,3,9,1,11,12,10] => [1,3,2,2,3,1]
[8,2,6,4,5,7,3,9,1,11,12,10] => [1,2,3,2,3,1]
[8,3,4,2,6,7,5,9,1,11,12,10] => [1,2,3,2,3,1]
[8,3,6,4,5,2,7,9,1,11,12,10] => [1,2,2,3,3,1]
[8,5,3,4,6,2,7,9,1,11,12,10] => [1,1,3,3,3,1]
[2,11,3,5,10,6,8,9,7,4,1,12] => [2,3,3,1,1,2]
[2,11,3,5,10,7,8,6,9,4,1,12] => [2,3,2,2,1,2]
[2,11,3,7,5,6,10,8,9,4,1,12] => [2,2,3,2,1,2]
[2,11,3,9,5,7,8,6,10,4,1,12] => [2,2,3,2,1,2]
[2,11,3,9,6,7,5,8,10,4,1,12] => [2,2,2,3,1,2]
[2,11,4,5,3,7,10,8,9,6,1,12] => [2,2,3,2,1,2]
[2,11,4,5,3,9,7,8,10,6,1,12] => [2,2,2,3,1,2]
[2,11,4,7,5,6,3,9,10,8,1,12] => [2,2,2,3,1,2]
[2,11,6,4,5,7,3,9,10,8,1,12] => [2,1,3,3,1,2]
[2,11,4,9,5,7,8,6,3,10,1,12] => [2,2,3,1,2,2]
[2,11,4,9,6,7,5,8,3,10,1,12] => [2,2,2,2,2,2]
[2,11,6,4,5,9,7,8,3,10,1,12] => [2,1,3,2,2,2]
[2,11,8,4,6,7,5,9,3,10,1,12] => [2,1,3,2,2,2]
[2,11,8,5,6,4,7,9,3,10,1,12] => [2,1,2,3,2,2]
[4,2,3,11,5,7,10,8,9,6,1,12] => [1,3,3,2,1,2]
[4,2,3,11,5,9,7,8,10,6,1,12] => [1,3,2,3,1,2]
[4,2,3,11,6,7,5,9,10,8,1,12] => [1,3,2,3,1,2]
[4,2,3,11,6,9,7,8,5,10,1,12] => [1,3,2,2,2,2]
[4,2,3,11,8,6,7,9,5,10,1,12] => [1,3,1,3,2,2]
[6,2,4,5,3,11,7,9,10,8,1,12] => [1,3,2,3,1,2]
[6,2,4,5,3,11,8,9,7,10,1,12] => [1,3,2,2,2,2]
[6,3,4,2,5,11,7,9,10,8,1,12] => [1,2,3,3,1,2]
[6,3,4,2,5,11,8,9,7,10,1,12] => [1,2,3,2,2,2]
[8,2,4,7,5,6,3,11,9,10,1,12] => [1,3,2,2,2,2]
[8,2,6,4,5,7,3,11,9,10,1,12] => [1,2,3,2,2,2]
[8,3,4,2,6,7,5,11,9,10,1,12] => [1,2,3,2,2,2]
[8,3,6,4,5,2,7,11,9,10,1,12] => [1,2,2,3,2,2]
[8,5,3,4,6,2,7,11,9,10,1,12] => [1,1,3,3,2,2]
[10,2,4,9,5,7,8,6,3,11,1,12] => [1,3,3,1,2,2]
[10,2,4,9,6,7,5,8,3,11,1,12] => [1,3,2,2,2,2]
[10,2,6,4,5,9,7,8,3,11,1,12] => [1,2,3,2,2,2]
[10,2,8,4,6,7,5,9,3,11,1,12] => [1,2,3,2,2,2]
[10,2,8,5,6,4,7,9,3,11,1,12] => [1,2,2,3,2,2]
[10,3,4,2,6,9,7,8,5,11,1,12] => [1,2,3,2,2,2]
[10,3,4,2,8,6,7,9,5,11,1,12] => [1,2,2,3,2,2]
[10,3,6,4,5,2,8,9,7,11,1,12] => [1,2,2,3,2,2]
[10,5,3,4,6,2,8,9,7,11,1,12] => [1,1,3,3,2,2]
[10,3,8,4,6,7,5,2,9,11,1,12] => [1,2,3,1,3,2]
[10,3,8,5,6,4,7,2,9,11,1,12] => [1,2,2,2,3,2]
[10,5,3,4,8,6,7,2,9,11,1,12] => [1,1,3,2,3,2]
[10,7,3,5,6,4,8,2,9,11,1,12] => [1,1,3,2,3,2]
[10,7,4,5,3,6,8,2,9,11,1,12] => [1,1,2,3,3,2]
[3,2,5,4,7,6,9,8,1,12,11,10] => [1,2,2,2,1,2,1,1]
[3,2,5,4,7,6,11,10,9,8,1,12] => [1,2,2,2,1,1,1,2]
[3,2,5,4,7,6,1,10,9,12,11,8] => [1,2,2,1,2,2,1,1]
[3,2,5,4,7,6,1,12,11,10,9,8] => [1,2,2,1,2,1,1,1,1]
[3,2,5,4,9,8,7,6,11,10,1,12] => [1,2,2,1,1,2,1,2]
[3,2,5,4,9,8,7,6,1,12,11,10] => [1,2,2,1,1,1,2,1,1]
[3,2,5,4,11,8,7,10,9,6,1,12] => [1,2,2,1,2,1,1,2]
[3,2,5,4,1,8,7,10,9,12,11,6] => [1,2,1,2,2,2,1,1]
[3,2,5,4,1,8,7,12,11,10,9,6] => [1,2,1,2,2,1,1,1,1]
[3,2,5,4,11,10,9,8,7,6,1,12] => [1,2,2,1,1,1,1,1,2]
[3,2,5,4,1,10,9,8,7,12,11,6] => [1,2,1,2,1,1,2,1,1]
[3,2,5,4,1,12,9,8,11,10,7,6] => [1,2,1,2,1,2,1,1,1]
[3,2,5,4,1,12,11,10,9,8,7,6] => [1,2,1,2,1,1,1,1,1,1]
[3,2,7,6,5,4,9,8,11,10,1,12] => [1,2,1,1,2,2,1,2]
[3,2,7,6,5,4,9,8,1,12,11,10] => [1,2,1,1,2,1,2,1,1]
[3,2,7,6,5,4,11,10,9,8,1,12] => [1,2,1,1,2,1,1,1,2]
[3,2,7,6,5,4,1,10,9,12,11,8] => [1,2,1,1,1,2,2,1,1]
[3,2,7,6,5,4,1,12,11,10,9,8] => [1,2,1,1,1,2,1,1,1,1]
[3,2,9,6,5,8,7,4,11,10,1,12] => [1,2,1,2,1,2,1,2]
[3,2,9,6,5,8,7,4,1,12,11,10] => [1,2,1,2,1,1,2,1,1]
[3,2,11,6,5,8,7,10,9,4,1,12] => [1,2,1,2,2,1,1,2]
[3,2,1,6,5,8,7,10,9,12,11,4] => [1,1,2,2,2,2,1,1]
[3,2,1,6,5,8,7,12,11,10,9,4] => [1,1,2,2,2,1,1,1,1]
[3,2,11,6,5,10,9,8,7,4,1,12] => [1,2,1,2,1,1,1,1,2]
[3,2,1,6,5,10,9,8,7,12,11,4] => [1,1,2,2,1,1,2,1,1]
[3,2,1,6,5,12,9,8,11,10,7,4] => [1,1,2,2,1,2,1,1,1]
[3,2,1,6,5,12,11,10,9,8,7,4] => [1,1,2,2,1,1,1,1,1,1]
[3,2,9,8,7,6,5,4,11,10,1,12] => [1,2,1,1,1,1,2,1,2]
[3,2,9,8,7,6,5,4,1,12,11,10] => [1,2,1,1,1,1,1,2,1,1]
[3,2,11,8,7,6,5,10,9,4,1,12] => [1,2,1,1,1,2,1,1,2]
[3,2,1,8,7,6,5,10,9,12,11,4] => [1,1,2,1,1,2,2,1,1]
[3,2,1,8,7,6,5,12,11,10,9,4] => [1,1,2,1,1,2,1,1,1,1]
[3,2,11,10,7,6,9,8,5,4,1,12] => [1,2,1,1,2,1,1,1,2]
[3,2,1,10,7,6,9,8,5,12,11,4] => [1,1,2,1,2,1,2,1,1]
[3,2,1,12,7,6,9,8,11,10,5,4] => [1,1,2,1,2,2,1,1,1]
[3,2,1,12,7,6,11,10,9,8,5,4] => [1,1,2,1,2,1,1,1,1,1]
[3,2,11,10,9,8,7,6,5,4,1,12] => [1,2,1,1,1,1,1,1,1,2]
[3,2,1,10,9,8,7,6,5,12,11,4] => [1,1,2,1,1,1,1,2,1,1]
[3,2,1,12,9,8,7,6,11,10,5,4] => [1,1,2,1,1,1,2,1,1,1]
[3,2,1,12,11,8,7,10,9,6,5,4] => [1,1,2,1,1,2,1,1,1,1]
[3,2,1,12,11,10,9,8,7,6,5,4] => [1,1,2,1,1,1,1,1,1,1,1]
[5,4,3,2,7,6,9,8,11,10,1,12] => [1,1,1,2,2,2,1,2]
[5,4,3,2,7,6,9,8,1,12,11,10] => [1,1,1,2,2,1,2,1,1]
[5,4,3,2,7,6,11,10,9,8,1,12] => [1,1,1,2,2,1,1,1,2]
[5,4,3,2,7,6,1,10,9,12,11,8] => [1,1,1,2,1,2,2,1,1]
[5,4,3,2,7,6,1,12,11,10,9,8] => [1,1,1,2,1,2,1,1,1,1]
[5,4,3,2,9,8,7,6,11,10,1,12] => [1,1,1,2,1,1,2,1,2]
[5,4,3,2,9,8,7,6,1,12,11,10] => [1,1,1,2,1,1,1,2,1,1]
[5,4,3,2,11,8,7,10,9,6,1,12] => [1,1,1,2,1,2,1,1,2]
[5,4,3,2,1,8,7,10,9,12,11,6] => [1,1,1,1,2,2,2,1,1]
[5,4,3,2,1,8,7,12,11,10,9,6] => [1,1,1,1,2,2,1,1,1,1]
[5,4,3,2,11,10,9,8,7,6,1,12] => [1,1,1,2,1,1,1,1,1,2]
[5,4,3,2,1,10,9,8,7,12,11,6] => [1,1,1,1,2,1,1,2,1,1]
[5,4,3,2,1,12,9,8,11,10,7,6] => [1,1,1,1,2,1,2,1,1,1]
[5,4,3,2,1,12,11,10,9,8,7,6] => [1,1,1,1,2,1,1,1,1,1,1]
[7,4,3,6,5,2,9,8,11,10,1,12] => [1,1,2,1,2,2,1,2]
[7,4,3,6,5,2,9,8,1,12,11,10] => [1,1,2,1,2,1,2,1,1]
[7,4,3,6,5,2,11,10,9,8,1,12] => [1,1,2,1,2,1,1,1,2]
[7,4,3,6,5,2,1,10,9,12,11,8] => [1,1,2,1,1,2,2,1,1]
[7,4,3,6,5,2,1,12,11,10,9,8] => [1,1,2,1,1,2,1,1,1,1]
[9,4,3,6,5,8,7,2,11,10,1,12] => [1,1,2,2,1,2,1,2]
[9,4,3,6,5,8,7,2,1,12,11,10] => [1,1,2,2,1,1,2,1,1]
[11,4,3,6,5,8,7,10,9,2,1,12] => [1,1,2,2,2,1,1,2]
[1,4,3,6,5,8,7,10,9,12,11,2] => [2,2,2,2,2,1,1]
[1,4,3,6,5,8,7,12,11,10,9,2] => [2,2,2,2,1,1,1,1]
[11,4,3,6,5,10,9,8,7,2,1,12] => [1,1,2,2,1,1,1,1,2]
[1,4,3,6,5,10,9,8,7,12,11,2] => [2,2,2,1,1,2,1,1]
[1,4,3,6,5,12,9,8,11,10,7,2] => [2,2,2,1,2,1,1,1]
[1,4,3,6,5,12,11,10,9,8,7,2] => [2,2,2,1,1,1,1,1,1]
[9,4,3,8,7,6,5,2,11,10,1,12] => [1,1,2,1,1,1,2,1,2]
[9,4,3,8,7,6,5,2,1,12,11,10] => [1,1,2,1,1,1,1,2,1,1]
[11,4,3,8,7,6,5,10,9,2,1,12] => [1,1,2,1,1,2,1,1,2]
[1,4,3,8,7,6,5,10,9,12,11,2] => [2,2,1,1,2,2,1,1]
[1,4,3,8,7,6,5,12,11,10,9,2] => [2,2,1,1,2,1,1,1,1]
[11,4,3,10,7,6,9,8,5,2,1,12] => [1,1,2,1,2,1,1,1,2]
[1,4,3,10,7,6,9,8,5,12,11,2] => [2,2,1,2,1,2,1,1]
[1,4,3,12,7,6,9,8,11,10,5,2] => [2,2,1,2,2,1,1,1]
[1,4,3,12,7,6,11,10,9,8,5,2] => [2,2,1,2,1,1,1,1,1]
[11,4,3,10,9,8,7,6,5,2,1,12] => [1,1,2,1,1,1,1,1,1,2]
[1,4,3,10,9,8,7,6,5,12,11,2] => [2,2,1,1,1,1,2,1,1]
[1,4,3,12,9,8,7,6,11,10,5,2] => [2,2,1,1,1,2,1,1,1]
[1,4,3,12,11,8,7,10,9,6,5,2] => [2,2,1,1,2,1,1,1,1]
[1,4,3,12,11,10,9,8,7,6,5,2] => [2,2,1,1,1,1,1,1,1,1]
[7,6,5,4,3,2,9,8,11,10,1,12] => [1,1,1,1,1,2,2,1,2]
[7,6,5,4,3,2,9,8,1,12,11,10] => [1,1,1,1,1,2,1,2,1,1]
[7,6,5,4,3,2,11,10,9,8,1,12] => [1,1,1,1,1,2,1,1,1,2]
[7,6,5,4,3,2,1,10,9,12,11,8] => [1,1,1,1,1,1,2,2,1,1]
[7,6,5,4,3,2,1,12,11,10,9,8] => [1,1,1,1,1,1,2,1,1,1,1]
[9,6,5,4,3,8,7,2,11,10,1,12] => [1,1,1,1,2,1,2,1,2]
[9,6,5,4,3,8,7,2,1,12,11,10] => [1,1,1,1,2,1,1,2,1,1]
[11,6,5,4,3,8,7,10,9,2,1,12] => [1,1,1,1,2,2,1,1,2]
[1,6,5,4,3,8,7,10,9,12,11,2] => [2,1,1,2,2,2,1,1]
[1,6,5,4,3,8,7,12,11,10,9,2] => [2,1,1,2,2,1,1,1,1]
[11,6,5,4,3,10,9,8,7,2,1,12] => [1,1,1,1,2,1,1,1,1,2]
[1,6,5,4,3,10,9,8,7,12,11,2] => [2,1,1,2,1,1,2,1,1]
[1,6,5,4,3,12,9,8,11,10,7,2] => [2,1,1,2,1,2,1,1,1]
[1,6,5,4,3,12,11,10,9,8,7,2] => [2,1,1,2,1,1,1,1,1,1]
[9,8,5,4,7,6,3,2,11,10,1,12] => [1,1,1,2,1,1,2,1,2]
[9,8,5,4,7,6,3,2,1,12,11,10] => [1,1,1,2,1,1,1,2,1,1]
[11,8,5,4,7,6,3,10,9,2,1,12] => [1,1,1,2,1,2,1,1,2]
[1,8,5,4,7,6,3,10,9,12,11,2] => [2,1,2,1,2,2,1,1]
[1,8,5,4,7,6,3,12,11,10,9,2] => [2,1,2,1,2,1,1,1,1]
[11,10,5,4,7,6,9,8,3,2,1,12] => [1,1,1,2,2,1,1,1,2]
[1,10,5,4,7,6,9,8,3,12,11,2] => [2,1,2,2,1,2,1,1]
[1,12,5,4,7,6,9,8,11,10,3,2] => [2,1,2,2,2,1,1,1]
[1,12,5,4,7,6,11,10,9,8,3,2] => [2,1,2,2,1,1,1,1,1]
[11,10,5,4,9,8,7,6,3,2,1,12] => [1,1,1,2,1,1,1,1,1,2]
[1,10,5,4,9,8,7,6,3,12,11,2] => [2,1,2,1,1,1,2,1,1]
[1,12,5,4,9,8,7,6,11,10,3,2] => [2,1,2,1,1,2,1,1,1]
[1,12,5,4,11,8,7,10,9,6,3,2] => [2,1,2,1,2,1,1,1,1]
[1,12,5,4,11,10,9,8,7,6,3,2] => [2,1,2,1,1,1,1,1,1,1]
[9,8,7,6,5,4,3,2,11,10,1,12] => [1,1,1,1,1,1,1,2,1,2]
[9,8,7,6,5,4,3,2,1,12,11,10] => [1,1,1,1,1,1,1,1,2,1,1]
[11,8,7,6,5,4,3,10,9,2,1,12] => [1,1,1,1,1,1,2,1,1,2]
[1,8,7,6,5,4,3,10,9,12,11,2] => [2,1,1,1,1,2,2,1,1]
[1,8,7,6,5,4,3,12,11,10,9,2] => [2,1,1,1,1,2,1,1,1,1]
[11,10,7,6,5,4,9,8,3,2,1,12] => [1,1,1,1,1,2,1,1,1,2]
[1,10,7,6,5,4,9,8,3,12,11,2] => [2,1,1,1,2,1,2,1,1]
[1,12,7,6,5,4,9,8,11,10,3,2] => [2,1,1,1,2,2,1,1,1]
[1,12,7,6,5,4,11,10,9,8,3,2] => [2,1,1,1,2,1,1,1,1,1]
[11,10,9,6,5,8,7,4,3,2,1,12] => [1,1,1,1,2,1,1,1,1,2]
[1,10,9,6,5,8,7,4,3,12,11,2] => [2,1,1,2,1,1,2,1,1]
[1,12,9,6,5,8,7,4,11,10,3,2] => [2,1,1,2,1,2,1,1,1]
[1,12,11,6,5,8,7,10,9,4,3,2] => [2,1,1,2,2,1,1,1,1]
[1,12,11,6,5,10,9,8,7,4,3,2] => [2,1,1,2,1,1,1,1,1,1]
[11,10,9,8,7,6,5,4,3,2,1,12] => [1,1,1,1,1,1,1,1,1,1,2]
[1,10,9,8,7,6,5,4,3,12,11,2] => [2,1,1,1,1,1,1,2,1,1]
[1,12,9,8,7,6,5,4,11,10,3,2] => [2,1,1,1,1,1,2,1,1,1]
[1,12,11,8,7,6,5,10,9,4,3,2] => [2,1,1,1,1,2,1,1,1,1]
[1,12,11,10,7,6,9,8,5,4,3,2] => [2,1,1,1,2,1,1,1,1,1]
[1,12,11,10,9,8,7,6,5,4,3,2] => [2,1,1,1,1,1,1,1,1,1,1]
[12,11,10,9,8,7,6,5,4,3,1,2] => [1,1,1,1,1,1,1,1,1,1,2]
[10,7,11,4,8,12,2,5,9,1,3,6] => [1,2,3,3,3]
[9,6,10,4,7,2,5,11,1,3,8,12] => [1,2,2,3,4]
[8,6,9,4,7,2,5,1,3,10,11,12] => [1,2,2,2,5]
[9,6,3,10,11,2,7,8,1,4,5,12] => [1,1,3,3,4]
[9,5,3,10,2,6,11,12,1,4,7,8] => [1,1,2,4,4]
[8,5,3,9,2,6,10,1,4,7,11,12] => [1,1,2,3,5]
[8,4,3,2,9,10,11,1,5,6,7,12] => [1,1,1,4,5]
[9,10,6,7,11,3,4,8,1,2,5,12] => [2,3,3,4]
[9,10,5,6,3,4,11,12,1,2,7,8] => [2,2,4,4]
[8,9,5,6,3,4,10,1,2,7,11,12] => [2,2,3,5]
[9,5,10,11,2,6,7,12,1,3,4,8] => [1,3,4,4]
[8,5,9,10,2,6,7,1,3,4,11,12] => [1,3,3,5]
[8,4,9,2,5,10,11,1,3,6,7,12] => [1,2,4,5]
[8,9,10,4,5,6,11,1,2,3,7,12] => [3,4,5]
[2,3,4,5,6,7,8,9,10,11,12,1] => [11,1]
[2,4,1,5,6,7,8,9,10,11,12,3] => [2,9,1]
[2,4,6,8,11,1,12,3,5,7,9,10] => [5,2,5]
[2,4,6,9,1,10,12,3,5,7,8,11] => [4,3,5]
[2,4,6,9,11,1,3,12,5,7,8,10] => [5,3,4]
[2,4,6,10,1,11,3,12,5,7,8,9] => [4,2,2,4]
[2,4,7,1,8,10,12,3,5,6,9,11] => [3,4,5]
[2,4,7,1,8,11,3,12,5,6,9,10] => [3,3,2,4]
[2,4,7,9,1,3,10,12,5,6,8,11] => [4,4,4]
[2,4,8,1,9,3,10,12,5,6,7,11] => [3,2,3,4]
[2,4,7,9,11,1,3,5,12,6,8,10] => [5,4,3]
[2,4,7,10,1,11,3,5,12,6,8,9] => [4,2,3,3]
[2,4,8,1,9,11,3,5,12,6,7,10] => [3,3,3,3]
[2,4,8,10,1,3,11,5,12,6,7,9] => [4,3,2,3]
[2,4,9,1,10,3,11,5,12,6,7,8] => [3,2,2,2,3]
[2,5,1,6,8,10,12,3,4,7,9,11] => [2,5,5]
[2,5,1,6,8,11,3,12,4,7,9,10] => [2,4,2,4]
[2,5,1,6,9,3,10,12,4,7,8,11] => [2,3,3,4]
[2,5,1,6,9,11,3,4,12,7,8,10] => [2,4,3,3]
[2,5,1,6,10,3,11,4,12,7,8,9] => [2,3,2,2,3]
[2,5,7,1,3,8,10,12,4,6,9,11] => [3,5,4]
[2,5,7,1,3,8,11,4,12,6,9,10] => [3,4,2,3]
[2,6,1,7,3,8,10,12,4,5,9,11] => [2,2,4,4]
[2,6,1,7,3,8,11,4,12,5,9,10] => [2,2,3,2,3]
[2,5,7,9,1,3,4,10,12,6,8,11] => [4,5,3]
[2,5,8,1,9,3,4,10,12,6,7,11] => [3,2,4,3]
[2,6,1,7,9,3,4,10,12,5,8,11] => [2,3,4,3]
[2,6,8,1,3,9,4,10,12,5,7,11] => [3,3,3,3]
[2,7,1,8,3,9,4,10,12,5,6,11] => [2,2,2,3,3]
[2,5,7,9,11,1,3,4,6,12,8,10] => [5,5,2]
[2,5,7,10,1,11,3,4,6,12,8,9] => [4,2,4,2]
[2,5,8,1,9,11,3,4,6,12,7,10] => [3,3,4,2]
[2,5,8,10,1,3,11,4,6,12,7,9] => [4,3,3,2]
[2,5,9,1,10,3,11,4,6,12,7,8] => [3,2,2,3,2]
[2,6,1,7,9,11,3,4,5,12,8,10] => [2,4,4,2]
[2,6,1,7,10,3,11,4,5,12,8,9] => [2,3,2,3,2]
[2,6,8,1,3,9,11,4,5,12,7,10] => [3,4,3,2]
[2,7,1,8,3,9,11,4,5,12,6,10] => [2,2,3,3,2]
[2,6,8,10,1,3,4,11,5,12,7,9] => [4,4,2,2]
[2,6,9,1,10,3,4,11,5,12,7,8] => [3,2,3,2,2]
[2,7,1,8,10,3,4,11,5,12,6,9] => [2,3,3,2,2]
[2,7,9,1,3,10,4,11,5,12,6,8] => [3,3,2,2,2]
[2,8,1,9,3,10,4,11,5,12,6,7] => [2,2,2,2,2,2]
[3,1,4,6,8,10,12,2,5,7,9,11] => [1,6,5]
[3,1,4,6,8,11,2,12,5,7,9,10] => [1,5,2,4]
[3,1,4,6,9,2,10,12,5,7,8,11] => [1,4,3,4]
[3,1,4,6,9,11,2,5,12,7,8,10] => [1,5,3,3]
[3,1,4,6,10,2,11,5,12,7,8,9] => [1,4,2,2,3]
[3,1,4,7,2,8,10,12,5,6,9,11] => [1,3,4,4]
[3,1,4,7,2,8,11,5,12,6,9,10] => [1,3,3,2,3]
[3,1,4,7,9,2,5,10,12,6,8,11] => [1,4,4,3]
[3,1,4,8,2,9,5,10,12,6,7,11] => [1,3,2,3,3]
[3,1,4,7,9,11,2,5,6,12,8,10] => [1,5,4,2]
[3,1,4,7,10,2,11,5,6,12,8,9] => [1,4,2,3,2]
[3,1,4,8,2,9,11,5,6,12,7,10] => [1,3,3,3,2]
[3,1,4,8,10,2,5,11,6,12,7,9] => [1,4,3,2,2]
[3,1,4,9,2,10,5,11,6,12,7,8] => [1,3,2,2,2,2]
[3,5,1,2,6,8,10,12,4,7,9,11] => [2,6,4]
[3,5,1,2,6,8,11,4,12,7,9,10] => [2,5,2,3]
[3,5,1,2,6,9,4,10,12,7,8,11] => [2,4,3,3]
[3,5,1,2,6,9,11,4,7,12,8,10] => [2,5,3,2]
[3,5,1,2,6,10,4,11,7,12,8,9] => [2,4,2,2,2]
[4,1,5,2,6,8,10,12,3,7,9,11] => [1,2,5,4]
[4,1,5,2,6,8,11,3,12,7,9,10] => [1,2,4,2,3]
[4,1,5,2,6,9,3,10,12,7,8,11] => [1,2,3,3,3]
[4,1,5,2,6,9,11,3,7,12,8,10] => [1,2,4,3,2]
[4,1,5,2,6,10,3,11,7,12,8,9] => [1,2,3,2,2,2]
[3,5,7,1,2,4,8,10,12,6,9,11] => [3,6,3]
[3,5,7,1,2,4,8,11,6,12,9,10] => [3,5,2,2]
[3,6,1,7,2,4,8,10,12,5,9,11] => [2,2,5,3]
[3,6,1,7,2,4,8,11,5,12,9,10] => [2,2,4,2,2]
[4,1,5,7,2,3,8,10,12,6,9,11] => [1,3,5,3]
[4,1,5,7,2,3,8,11,6,12,9,10] => [1,3,4,2,2]
[4,6,1,2,7,3,8,10,12,5,9,11] => [2,3,4,3]
[4,6,1,2,7,3,8,11,5,12,9,10] => [2,3,3,2,2]
[5,1,6,2,7,3,8,10,12,4,9,11] => [1,2,2,4,3]
[5,1,6,2,7,3,8,11,4,12,9,10] => [1,2,2,3,2,2]
[3,5,7,9,1,2,4,6,10,12,8,11] => [4,6,2]
[3,5,8,1,9,2,4,6,10,12,7,11] => [3,2,5,2]
[3,6,1,7,9,2,4,5,10,12,8,11] => [2,3,5,2]
[3,6,8,1,2,9,4,5,10,12,7,11] => [3,3,4,2]
[3,7,1,8,2,9,4,5,10,12,6,11] => [2,2,2,4,2]
[4,1,5,7,9,2,3,6,10,12,8,11] => [1,4,5,2]
[4,1,5,8,2,9,3,6,10,12,7,11] => [1,3,2,4,2]
[4,6,1,2,7,9,3,5,10,12,8,11] => [2,4,4,2]
[5,1,6,2,7,9,3,4,10,12,8,11] => [1,2,3,4,2]
[4,6,8,1,2,3,9,5,10,12,7,11] => [3,4,3,2]
[4,7,1,8,2,3,9,5,10,12,6,11] => [2,2,3,3,2]
[5,1,6,8,2,3,9,4,10,12,7,11] => [1,3,3,3,2]
[5,7,1,2,8,3,9,4,10,12,6,11] => [2,3,2,3,2]
[6,1,7,2,8,3,9,4,10,12,5,11] => [1,2,2,2,3,2]
[3,5,7,9,11,1,2,4,6,8,12,10] => [5,6,1]
[3,5,7,10,1,11,2,4,6,8,12,9] => [4,2,5,1]
[3,5,8,1,9,11,2,4,6,7,12,10] => [3,3,5,1]
[3,5,8,10,1,2,11,4,6,7,12,9] => [4,3,4,1]
[3,5,9,1,10,2,11,4,6,7,12,8] => [3,2,2,4,1]
[3,6,1,7,9,11,2,4,5,8,12,10] => [2,4,5,1]
[3,6,1,7,10,2,11,4,5,8,12,9] => [2,3,2,4,1]
[3,6,8,1,2,9,11,4,5,7,12,10] => [3,4,4,1]
[3,7,1,8,2,9,11,4,5,6,12,10] => [2,2,3,4,1]
[3,6,8,10,1,2,4,11,5,7,12,9] => [4,4,3,1]
[3,6,9,1,10,2,4,11,5,7,12,8] => [3,2,3,3,1]
[3,7,1,8,10,2,4,11,5,6,12,9] => [2,3,3,3,1]
[3,7,9,1,2,10,4,11,5,6,12,8] => [3,3,2,3,1]
[3,8,1,9,2,10,4,11,5,6,12,7] => [2,2,2,2,3,1]
[4,1,5,7,9,11,2,3,6,8,12,10] => [1,5,5,1]
[4,1,5,7,10,2,11,3,6,8,12,9] => [1,4,2,4,1]
[4,1,5,8,2,9,11,3,6,7,12,10] => [1,3,3,4,1]
[4,1,5,8,10,2,3,11,6,7,12,9] => [1,4,3,3,1]
[4,1,5,9,2,10,3,11,6,7,12,8] => [1,3,2,2,3,1]
[4,6,1,2,7,9,11,3,5,8,12,10] => [2,5,4,1]
[4,6,1,2,7,10,3,11,5,8,12,9] => [2,4,2,3,1]
[5,1,6,2,7,9,11,3,4,8,12,10] => [1,2,4,4,1]
[5,1,6,2,7,10,3,11,4,8,12,9] => [1,2,3,2,3,1]
[4,6,8,1,2,3,9,11,5,7,12,10] => [3,5,3,1]
[4,7,1,8,2,3,9,11,5,6,12,10] => [2,2,4,3,1]
[5,1,6,8,2,3,9,11,4,7,12,10] => [1,3,4,3,1]
[5,7,1,2,8,3,9,11,4,6,12,10] => [2,3,3,3,1]
[6,1,7,2,8,3,9,11,4,5,12,10] => [1,2,2,3,3,1]
[4,6,8,10,1,2,3,5,11,7,12,9] => [4,5,2,1]
[4,6,9,1,10,2,3,5,11,7,12,8] => [3,2,4,2,1]
[4,7,1,8,10,2,3,5,11,6,12,9] => [2,3,4,2,1]
[4,7,9,1,2,10,3,5,11,6,12,8] => [3,3,3,2,1]
[4,8,1,9,2,10,3,5,11,6,12,7] => [2,2,2,3,2,1]
[5,1,6,8,10,2,3,4,11,7,12,9] => [1,4,4,2,1]
[5,1,6,9,2,10,3,4,11,7,12,8] => [1,3,2,3,2,1]
[5,7,1,2,8,10,3,4,11,6,12,9] => [2,4,3,2,1]
[6,1,7,2,8,10,3,4,11,5,12,9] => [1,2,3,3,2,1]
[5,7,9,1,2,3,10,4,11,6,12,8] => [3,4,2,2,1]
[5,8,1,9,2,3,10,4,11,6,12,7] => [2,2,3,2,2,1]
[6,1,7,9,2,3,10,4,11,5,12,8] => [1,3,3,2,2,1]
[6,8,1,2,9,3,10,4,11,5,12,7] => [2,3,2,2,2,1]
[1,2,3,4,5,6,7,8,9,10,12,11] => [11,1]
[1,3,4,5,6,7,8,9,10,11,12,2] => [11,1]
[2,1,4,3,6,5,8,7,10,12,11,9] => [1,2,2,2,3,1,1]
[2,1,4,3,6,5,8,10,9,7,12,11] => [1,2,2,3,1,2,1]
[2,1,4,3,6,5,10,12,9,11,7,8] => [1,2,2,3,2,2]
[2,1,4,3,6,5,8,9,12,10,11,7] => [1,2,2,4,2,1]
[2,1,4,3,6,8,7,5,10,9,12,11] => [1,2,3,1,2,2,1]
[2,1,4,3,6,8,7,5,10,12,11,9] => [1,2,3,1,3,1,1]
[2,1,4,3,8,10,7,9,5,6,12,11] => [1,2,3,2,3,1]
[2,1,4,3,10,9,7,12,6,11,5,8] => [1,2,2,1,2,2,2]
[2,1,4,3,8,9,7,12,10,6,11,5] => [1,2,3,2,1,2,1]
[2,1,4,3,6,7,10,8,9,5,12,11] => [1,2,4,2,2,1]
[2,1,4,3,10,7,12,8,9,11,5,6] => [1,2,2,2,3,2]
[2,1,4,3,6,9,12,8,11,10,5,7] => [1,2,4,2,1,2]
[2,1,4,3,6,7,8,12,9,10,11,5] => [1,2,5,3,1]
[2,1,4,6,5,3,8,7,10,9,12,11] => [1,3,1,2,2,2,1]
[2,1,4,6,5,3,8,7,10,12,11,9] => [1,3,1,2,3,1,1]
[2,1,4,6,5,3,8,10,9,7,12,11] => [1,3,1,3,1,2,1]
[2,1,4,6,5,3,10,12,9,11,7,8] => [1,3,1,3,2,2]
[2,1,4,6,5,3,8,9,12,10,11,7] => [1,3,1,4,2,1]
[2,1,6,8,5,7,3,4,10,9,12,11] => [1,3,2,3,2,1]
[2,1,6,8,5,7,3,4,10,12,11,9] => [1,3,2,4,1,1]
[2,1,8,7,5,10,4,9,3,6,12,11] => [1,2,1,2,2,3,1]
[2,1,10,7,5,9,4,12,6,11,3,8] => [1,2,1,2,2,2,2]
[2,1,8,7,5,9,4,12,10,6,11,3] => [1,2,1,2,2,1,2,1]
[2,1,6,7,5,10,8,4,9,3,12,11] => [1,3,2,1,2,2,1]
[2,1,10,8,5,7,12,4,9,11,3,6] => [1,2,1,3,3,2]
[2,1,6,9,5,8,12,3,11,10,4,7] => [1,3,3,2,1,2]
[2,1,6,7,5,8,12,9,3,10,11,4] => [1,3,3,1,3,1]
[2,1,4,5,8,6,7,3,10,9,12,11] => [1,4,2,2,2,1]
[2,1,4,5,8,6,7,3,10,12,11,9] => [1,4,2,3,1,1]
[2,1,8,5,10,6,7,9,3,4,12,11] => [1,2,2,3,3,1]
[2,1,10,5,9,6,7,12,4,11,3,8] => [1,2,2,3,2,2]
[2,1,8,5,9,6,7,12,10,4,11,3] => [1,2,2,3,1,2,1]
[2,1,4,7,10,6,9,8,3,5,12,11] => [1,4,2,1,3,1]
[2,1,10,7,12,6,9,8,4,11,3,5] => [1,2,2,2,1,2,2]
[2,1,4,9,12,6,10,8,11,7,3,5] => [1,4,2,2,1,2]
[2,1,4,7,8,6,12,10,9,5,11,3] => [1,4,2,1,1,2,1]
[2,1,4,5,6,10,7,8,9,3,12,11] => [1,5,3,2,1]
[2,1,10,5,6,12,7,8,9,11,3,4] => [1,2,3,4,2]
[2,1,4,9,6,12,7,8,11,10,3,5] => [1,3,2,3,1,2]
[2,1,4,5,8,12,7,11,9,10,3,6] => [1,5,2,2,2]
[2,1,4,5,6,7,12,8,9,10,11,3] => [1,6,4,1]
[2,4,3,1,6,5,8,7,10,9,12,11] => [2,1,2,2,2,2,1]
[2,4,3,1,6,5,8,7,10,12,11,9] => [2,1,2,2,3,1,1]
[2,4,3,1,6,5,8,10,9,7,12,11] => [2,1,2,3,1,2,1]
[2,4,3,1,6,5,10,12,9,11,7,8] => [2,1,2,3,2,2]
[2,4,3,1,6,5,8,9,12,10,11,7] => [2,1,2,4,2,1]
[2,4,3,1,6,8,7,5,10,9,12,11] => [2,1,3,1,2,2,1]
[2,4,3,1,6,8,7,5,10,12,11,9] => [2,1,3,1,3,1,1]
[2,4,3,1,8,10,7,9,5,6,12,11] => [2,1,3,2,3,1]
[2,4,3,1,10,9,7,12,6,11,5,8] => [2,1,2,1,2,2,2]
[2,4,3,1,8,9,7,12,10,6,11,5] => [2,1,3,2,1,2,1]
[2,4,3,1,6,7,10,8,9,5,12,11] => [2,1,4,2,2,1]
[2,4,3,1,10,7,12,8,9,11,5,6] => [2,1,2,2,3,2]
[2,4,3,1,6,9,12,8,11,10,5,7] => [2,1,4,2,1,2]
[2,4,3,1,6,7,8,12,9,10,11,5] => [2,1,5,3,1]
[4,6,3,5,1,2,8,7,10,9,12,11] => [2,2,3,2,2,1]
[4,6,3,5,1,2,8,7,10,12,11,9] => [2,2,3,3,1,1]
[4,6,3,5,1,2,8,10,9,7,12,11] => [2,2,4,1,2,1]
[4,6,3,5,1,2,10,12,9,11,7,8] => [2,2,4,2,2]
[4,6,3,5,1,2,8,9,12,10,11,7] => [2,2,5,2,1]
[6,5,3,8,2,7,1,4,10,9,12,11] => [1,1,2,2,3,2,1]
[6,5,3,8,2,7,1,4,10,12,11,9] => [1,1,2,2,4,1,1]
[8,5,3,7,2,10,4,9,1,6,12,11] => [1,1,2,2,2,3,1]
[10,5,3,7,2,9,4,12,6,11,1,8] => [1,1,2,2,2,2,2]
[8,5,3,7,2,9,4,12,10,6,11,1] => [1,1,2,2,2,1,2,1]
[6,5,3,7,2,10,8,4,9,1,12,11] => [1,1,2,2,1,2,2,1]
[10,5,3,8,2,7,12,4,9,11,1,6] => [1,1,2,3,3,2]
[6,5,3,9,2,8,12,1,11,10,4,7] => [1,1,2,3,2,1,2]
[6,5,3,7,2,8,12,9,1,10,11,4] => [1,1,2,3,1,3,1]
[4,5,3,8,6,2,7,1,10,9,12,11] => [2,2,1,2,2,2,1]
[4,5,3,8,6,2,7,1,10,12,11,9] => [2,2,1,2,3,1,1]
[8,6,3,5,10,2,7,9,1,4,12,11] => [1,1,3,3,3,1]
[10,6,3,5,9,2,7,12,4,11,1,8] => [1,1,3,3,2,2]
[8,6,3,5,9,2,7,12,10,4,11,1] => [1,1,3,3,1,2,1]
[4,7,3,6,10,1,9,8,2,5,12,11] => [2,3,2,1,3,1]
[10,6,3,7,12,2,9,8,4,11,1,5] => [1,1,3,2,1,2,2]
[4,9,3,6,12,1,10,8,11,7,2,5] => [2,3,2,2,1,2]
[4,7,3,6,8,1,12,10,9,5,11,2] => [2,3,2,1,1,2,1]
[4,5,3,6,10,7,1,8,9,2,12,11] => [2,3,1,3,2,1]
[10,7,3,5,6,12,2,8,9,11,1,4] => [1,1,4,4,2]
[4,9,3,7,6,12,1,8,11,10,2,5] => [2,2,2,3,1,2]
[4,5,3,8,7,12,2,11,9,10,1,6] => [2,2,2,2,2,2]
[4,5,3,6,7,12,8,2,9,10,11,1] => [2,4,1,4,1]
[2,3,6,4,5,1,8,7,10,9,12,11] => [3,2,2,2,2,1]
[2,3,6,4,5,1,8,7,10,12,11,9] => [3,2,2,3,1,1]
[2,3,6,4,5,1,8,10,9,7,12,11] => [3,2,3,1,2,1]
[2,3,6,4,5,1,10,12,9,11,7,8] => [3,2,3,2,2]
[2,3,6,4,5,1,8,9,12,10,11,7] => [3,2,4,2,1]
[6,3,8,4,5,7,1,2,10,9,12,11] => [1,2,3,3,2,1]
[6,3,8,4,5,7,1,2,10,12,11,9] => [1,2,3,4,1,1]
[8,3,7,4,5,10,2,9,1,6,12,11] => [1,2,3,2,3,1]
[10,3,7,4,5,9,2,12,6,11,1,8] => [1,2,3,2,2,2]
[8,3,7,4,5,9,2,12,10,6,11,1] => [1,2,3,2,1,2,1]
[6,3,7,4,5,10,8,2,9,1,12,11] => [1,2,3,1,2,2,1]
[10,3,8,4,5,7,12,2,9,11,1,6] => [1,2,4,3,2]
[6,3,9,4,5,8,12,1,11,10,2,7] => [1,2,4,2,1,2]
[6,3,7,4,5,8,12,9,1,10,11,2] => [1,2,4,1,3,1]
[2,5,8,4,7,6,1,3,10,9,12,11] => [3,2,1,3,2,1]
[2,5,8,4,7,6,1,3,10,12,11,9] => [3,2,1,4,1,1]
[8,5,10,4,7,6,2,9,1,3,12,11] => [1,2,2,1,2,3,1]
[10,5,9,4,7,6,2,12,3,11,1,8] => [1,2,2,1,2,2,2]
[8,5,9,4,7,6,2,12,10,3,11,1] => [1,2,2,1,2,1,2,1]
[2,7,10,4,8,6,9,5,1,3,12,11] => [3,2,2,1,3,1]
[10,7,12,4,8,6,9,5,2,11,1,3] => [1,2,2,2,1,2,2]
[2,9,8,4,12,6,10,3,11,7,1,5] => [2,1,2,2,2,1,2]
[2,7,8,4,12,6,9,10,1,3,11,5] => [3,2,3,3,1]
[2,5,6,4,10,8,7,3,9,1,12,11] => [3,2,1,1,2,2,1]
[10,5,6,4,12,8,7,3,9,11,1,2] => [1,2,2,1,1,3,2]
[2,9,8,4,6,12,7,3,11,10,1,5] => [2,1,3,1,2,1,2]
[2,5,8,4,12,9,7,11,6,10,3,1] => [3,2,1,2,2,1,1]
[2,5,6,4,7,12,9,8,1,10,11,3] => [3,3,1,1,3,1]
[2,3,4,8,5,6,7,1,10,9,12,11] => [4,3,2,2,1]
[2,3,4,8,5,6,7,1,10,12,11,9] => [4,3,3,1,1]
[8,3,4,10,5,6,7,9,1,2,12,11] => [1,3,4,3,1]
[10,3,4,9,5,6,7,12,2,11,1,8] => [1,3,4,2,2]
[8,3,4,9,5,6,7,12,10,2,11,1] => [1,3,4,1,2,1]
[2,7,4,10,5,6,9,8,1,3,12,11] => [2,2,3,1,3,1]
[10,7,4,12,5,6,9,8,2,11,1,3] => [1,1,2,3,1,2,2]
[2,9,4,12,5,6,10,8,11,7,1,3] => [2,2,3,2,1,2]
[2,7,4,8,5,6,12,10,9,3,11,1] => [2,2,3,1,1,2,1]
[2,3,6,10,5,9,7,8,1,4,12,11] => [4,2,2,3,1]
[10,3,6,12,5,9,7,8,2,11,1,4] => [1,3,2,2,2,2]
[2,9,6,12,5,11,7,8,10,1,3,4] => [2,2,2,3,3]
[2,3,8,12,5,10,7,11,9,6,1,4] => [4,2,2,1,1,2]
[2,3,6,7,5,12,10,8,9,4,11,1] => [4,2,1,2,2,1]
[2,3,4,5,10,6,7,8,9,1,12,11] => [5,4,2,1]
[10,3,4,5,12,6,7,8,9,11,1,2] => [1,4,5,2]
[2,9,4,5,12,6,7,8,11,10,1,3] => [2,3,4,1,2]
[2,3,8,5,12,6,7,11,9,10,1,4] => [3,2,3,2,2]
[2,3,4,7,12,6,11,8,9,10,1,5] => [5,2,3,2]
[2,3,4,5,6,12,7,8,9,10,11,1] => [6,5,1]
[2,1,4,3,6,5,8,7,10,11,12,9] => [1,2,2,2,4,1]
[2,1,4,3,6,5,8,9,10,7,12,11] => [1,2,2,4,2,1]
[2,1,4,3,6,5,10,9,11,12,7,8] => [1,2,2,2,3,2]
[2,1,4,3,6,5,8,9,10,11,12,7] => [1,2,2,6,1]
[2,1,4,3,6,7,8,5,10,9,12,11] => [1,2,4,2,2,1]
[2,1,4,3,6,7,8,5,10,11,12,9] => [1,2,4,4,1]
[2,1,4,3,8,7,9,10,5,6,12,11] => [1,2,2,3,3,1]
[2,1,4,3,10,7,11,9,5,12,8,6] => [1,2,2,2,1,2,1,1]
[2,1,4,3,8,7,9,10,11,12,5,6] => [1,2,2,5,2]
[2,1,4,3,6,7,8,9,10,5,12,11] => [1,2,6,2,1]
[2,1,4,3,10,7,8,9,11,12,5,6] => [1,2,2,5,2]
[2,1,4,3,6,9,8,10,11,5,12,7] => [1,2,3,3,2,1]
[2,1,4,3,6,7,8,9,10,11,12,5] => [1,2,8,1]
[2,1,4,5,6,3,8,7,10,9,12,11] => [1,4,2,2,2,1]
[2,1,4,5,6,3,8,7,10,11,12,9] => [1,4,2,4,1]
[2,1,4,5,6,3,8,9,10,7,12,11] => [1,4,4,2,1]
[2,1,4,5,6,3,10,9,11,12,7,8] => [1,4,2,3,2]
[2,1,4,5,6,3,8,9,10,11,12,7] => [1,4,6,1]
[2,1,6,5,7,8,3,4,10,9,12,11] => [1,2,3,3,2,1]
[2,1,6,5,7,8,3,4,10,11,12,9] => [1,2,3,5,1]
[2,1,8,5,9,7,3,10,6,4,12,11] => [1,2,2,1,2,1,2,1]
[2,1,10,5,11,7,3,9,6,12,8,4] => [1,2,2,1,2,2,1,1]
[2,1,8,5,9,7,3,10,11,12,6,4] => [1,2,2,1,4,1,1]
[2,1,6,5,7,8,9,10,3,4,12,11] => [1,2,5,3,1]
[2,1,10,5,11,7,8,9,3,12,6,4] => [1,2,2,3,2,1,1]
[2,1,6,5,9,10,8,12,11,4,7,3] => [1,2,3,2,1,2,1]
[2,1,6,5,7,8,9,10,11,12,3,4] => [1,2,7,2]
[2,1,4,5,6,7,8,3,10,9,12,11] => [1,6,2,2,1]
[2,1,4,5,6,7,8,3,10,11,12,9] => [1,6,4,1]
[2,1,8,5,6,7,9,10,3,4,12,11] => [1,2,5,3,1]
[2,1,10,5,6,7,11,9,3,12,8,4] => [1,2,4,1,2,1,1]
[2,1,8,5,6,7,9,10,11,12,3,4] => [1,2,7,2]
[2,1,4,7,6,8,9,3,10,5,12,11] => [1,3,3,2,2,1]
[2,1,10,7,6,8,9,3,11,12,5,4] => [1,2,1,3,3,1,1]
[2,1,4,9,6,10,8,3,11,7,12,5] => [1,3,2,1,2,2,1]
[2,1,4,7,6,8,9,10,11,3,12,5] => [1,3,5,2,1]
[2,1,4,5,6,7,8,9,10,3,12,11] => [1,8,2,1]
[2,1,10,5,6,7,8,9,11,12,3,4] => [1,2,7,2]
[2,1,4,9,6,7,8,10,11,3,12,5] => [1,3,5,2,1]
[2,1,4,5,8,7,9,10,3,11,12,6] => [1,4,3,3,1]
[2,1,4,5,6,7,8,9,10,11,12,3] => [1,10,1]
[2,3,4,1,6,5,8,7,10,9,12,11] => [3,2,2,2,2,1]
[2,3,4,1,6,5,8,7,10,11,12,9] => [3,2,2,4,1]
[2,3,4,1,6,5,8,9,10,7,12,11] => [3,2,4,2,1]
[2,3,4,1,6,5,10,9,11,12,7,8] => [3,2,2,3,2]
[2,3,4,1,6,5,8,9,10,11,12,7] => [3,2,6,1]
[2,3,4,1,6,7,8,5,10,9,12,11] => [3,4,2,2,1]
[2,3,4,1,6,7,8,5,10,11,12,9] => [3,4,4,1]
[2,3,4,1,8,7,9,10,5,6,12,11] => [3,2,3,3,1]
[2,3,4,1,10,7,11,9,5,12,8,6] => [3,2,2,1,2,1,1]
[2,3,4,1,8,7,9,10,11,12,5,6] => [3,2,5,2]
[2,3,4,1,6,7,8,9,10,5,12,11] => [3,6,2,1]
[2,3,4,1,10,7,8,9,11,12,5,6] => [3,2,5,2]
[2,3,4,1,6,9,8,10,11,5,12,7] => [3,3,3,2,1]
[2,3,4,1,6,7,8,9,10,11,12,5] => [3,8,1]
[4,3,5,6,1,2,8,7,10,9,12,11] => [1,3,3,2,2,1]
[4,3,5,6,1,2,8,7,10,11,12,9] => [1,3,3,4,1]
[4,3,5,6,1,2,8,9,10,7,12,11] => [1,3,5,2,1]
[4,3,5,6,1,2,10,9,11,12,7,8] => [1,3,3,3,2]
[4,3,5,6,1,2,8,9,10,11,12,7] => [1,3,7,1]
[6,3,7,5,1,8,4,2,10,9,12,11] => [1,2,1,2,1,2,2,1]
[6,3,7,5,1,8,4,2,10,11,12,9] => [1,2,1,2,1,4,1]
[8,3,9,5,1,7,4,10,6,2,12,11] => [1,2,1,2,2,1,2,1]
[10,3,11,5,1,7,4,9,6,12,8,2] => [1,2,1,2,2,2,1,1]
[8,3,9,5,1,7,4,10,11,12,6,2] => [1,2,1,2,4,1,1]
[6,3,7,5,1,8,9,10,4,2,12,11] => [1,2,1,4,1,2,1]
[10,3,11,5,1,7,8,9,4,12,6,2] => [1,2,1,4,2,1,1]
[6,3,9,5,2,10,8,12,11,4,7,1] => [1,2,1,2,2,1,2,1]
[6,3,7,5,1,8,9,10,11,12,4,2] => [1,2,1,6,1,1]
[4,3,5,6,7,8,1,2,10,9,12,11] => [1,5,3,2,1]
[4,3,5,6,7,8,1,2,10,11,12,9] => [1,5,5,1]
[8,3,9,5,6,7,1,10,4,2,12,11] => [1,2,3,2,1,2,1]
[10,3,11,5,6,7,1,9,4,12,8,2] => [1,2,3,2,2,1,1]
[8,3,9,5,6,7,1,10,11,12,4,2] => [1,2,3,4,1,1]
[4,3,7,8,6,10,9,2,5,1,12,11] => [1,3,2,1,2,2,1]
[10,3,11,7,6,8,9,4,1,12,5,2] => [1,2,1,3,1,2,1,1]
[4,3,9,10,6,12,8,2,11,7,5,1] => [1,3,2,1,2,1,1,1]
[4,3,7,8,6,9,10,12,11,5,1,2] => [1,3,4,1,1,2]
[4,3,5,6,7,8,9,10,1,2,12,11] => [1,7,3,1]
[10,3,11,5,6,7,8,9,1,12,4,2] => [1,2,5,2,1,1]
[4,3,9,10,6,7,8,12,11,2,5,1] => [1,3,4,1,2,1]
[4,3,5,8,9,7,12,10,1,11,6,2] => [1,4,2,1,2,1,1]
[4,3,5,6,7,8,9,10,11,12,1,2] => [1,9,2]
[2,3,4,5,6,1,8,7,10,9,12,11] => [5,2,2,2,1]
[2,3,4,5,6,1,8,7,10,11,12,9] => [5,2,4,1]
[2,3,4,5,6,1,8,9,10,7,12,11] => [5,4,2,1]
[2,3,4,5,6,1,10,9,11,12,7,8] => [5,2,3,2]
[2,3,4,5,6,1,8,9,10,11,12,7] => [5,6,1]
[6,3,4,5,7,8,1,2,10,9,12,11] => [1,5,3,2,1]
[6,3,4,5,7,8,1,2,10,11,12,9] => [1,5,5,1]
[8,3,4,5,9,7,1,10,6,2,12,11] => [1,4,1,2,1,2,1]
[10,3,4,5,11,7,1,9,6,12,8,2] => [1,4,1,2,2,1,1]
[8,3,4,5,9,7,1,10,11,12,6,2] => [1,4,1,4,1,1]
[6,3,4,5,7,8,9,10,1,2,12,11] => [1,7,3,1]
[10,3,4,5,11,7,8,9,1,12,6,2] => [1,4,3,2,1,1]
[6,3,4,5,9,10,8,12,11,2,7,1] => [1,5,2,1,2,1]
[6,3,4,5,7,8,9,10,11,12,1,2] => [1,9,2]
[2,5,4,6,7,1,8,3,10,9,12,11] => [2,3,2,2,2,1]
[2,5,4,6,7,1,8,3,10,11,12,9] => [2,3,2,4,1]
[8,5,4,6,7,1,9,10,3,2,12,11] => [1,1,3,3,1,2,1]
[10,5,4,6,7,1,11,9,3,12,8,2] => [1,1,3,2,1,2,1,1]
[8,5,4,6,7,1,9,10,11,12,3,2] => [1,1,3,5,1,1]
[2,7,4,8,6,1,9,5,10,3,12,11] => [2,2,1,2,2,2,1]
[10,7,4,8,6,1,9,5,11,12,3,2] => [1,1,2,1,2,3,1,1]
[2,9,4,10,6,1,8,5,11,7,12,3] => [2,2,1,2,2,2,1]
[2,7,4,8,6,1,9,10,11,5,12,3] => [2,2,1,4,2,1]
[2,5,4,6,7,8,9,1,10,3,12,11] => [2,5,2,2,1]
[10,5,4,6,7,8,9,1,11,12,3,2] => [1,1,5,3,1,1]
[2,9,4,10,6,7,8,1,11,5,12,3] => [2,2,3,2,2,1]
[2,5,4,8,9,7,11,10,3,6,12,1] => [2,3,2,1,3,1]
[2,5,4,6,7,8,9,10,11,1,12,3] => [2,7,2,1]
[2,3,4,5,6,7,8,1,10,9,12,11] => [7,2,2,1]
[2,3,4,5,6,7,8,1,10,11,12,9] => [7,4,1]
[8,3,4,5,6,7,9,10,1,2,12,11] => [1,7,3,1]
[10,3,4,5,6,7,11,9,1,12,8,2] => [1,6,1,2,1,1]
[8,3,4,5,6,7,9,10,11,12,1,2] => [1,9,2]
[2,7,4,5,6,8,9,1,10,3,12,11] => [2,5,2,2,1]
[10,7,4,5,6,8,9,1,11,12,3,2] => [1,1,5,3,1,1]
[2,9,4,5,6,10,8,1,11,7,12,3] => [2,4,1,2,2,1]
[2,7,4,5,6,8,9,10,11,1,12,3] => [2,7,2,1]
[2,3,6,5,7,8,1,9,10,4,12,11] => [3,3,3,2,1]
[10,3,6,5,7,8,1,9,11,12,4,2] => [1,2,3,4,1,1]
[2,9,6,5,7,8,1,10,11,4,12,3] => [2,1,3,3,2,1]
[2,3,8,5,9,7,1,10,6,11,12,4] => [3,2,1,2,3,1]
[2,3,6,5,7,8,9,10,1,11,12,4] => [3,5,3,1]
[2,3,4,5,6,7,8,9,10,1,12,11] => [9,2,1]
[10,3,4,5,6,7,8,9,11,12,1,2] => [1,9,2]
[2,9,4,5,6,7,8,10,11,1,12,3] => [2,7,2,1]
[2,3,8,5,6,7,9,10,1,11,12,4] => [3,5,3,1]
[2,3,4,7,6,8,9,1,10,11,12,5] => [4,3,4,1]
[1,4,3,6,5,8,7,12,11,9,10,2] => [2,2,2,2,1,2,1]
[1,4,3,6,5,10,9,7,8,12,11,2] => [2,2,2,1,3,1,1]
[1,4,3,6,5,12,9,7,11,8,10,2] => [2,2,2,1,2,2,1]
[1,4,3,6,5,12,11,10,7,8,9,2] => [2,2,2,1,1,3,1]
[1,4,3,8,7,5,6,10,9,12,11,2] => [2,2,1,3,2,1,1]
[1,4,3,8,7,5,6,12,11,9,10,2] => [2,2,1,3,1,2,1]
[1,4,3,10,7,5,9,6,8,12,11,2] => [2,2,1,2,3,1,1]
[1,4,3,12,7,5,9,6,11,8,10,2] => [2,2,1,2,2,2,1]
[1,4,3,12,7,5,11,10,6,8,9,2] => [2,2,1,2,1,3,1]
[1,4,3,10,9,8,5,6,7,12,11,2] => [2,2,1,1,4,1,1]
[1,4,3,12,9,8,5,6,11,7,10,2] => [2,2,1,1,3,2,1]
[1,4,3,12,11,8,5,10,6,7,9,2] => [2,2,1,1,2,3,1]
[1,4,3,12,11,10,9,5,6,7,8,2] => [2,2,1,1,1,4,1]
[1,6,5,3,4,8,7,10,9,12,11,2] => [2,1,3,2,2,1,1]
[1,6,5,3,4,8,7,12,11,9,10,2] => [2,1,3,2,1,2,1]
[1,6,5,3,4,10,9,7,8,12,11,2] => [2,1,3,1,3,1,1]
[1,6,5,3,4,12,9,7,11,8,10,2] => [2,1,3,1,2,2,1]
[1,6,5,3,4,12,11,10,7,8,9,2] => [2,1,3,1,1,3,1]
[1,8,5,3,7,4,6,10,9,12,11,2] => [2,1,2,3,2,1,1]
[1,8,5,3,7,4,6,12,11,9,10,2] => [2,1,2,3,1,2,1]
[1,10,5,3,7,4,9,6,8,12,11,2] => [2,1,2,2,3,1,1]
[1,12,5,3,7,4,9,6,11,8,10,2] => [2,1,2,2,2,2,1]
[1,12,5,3,7,4,11,10,6,8,9,2] => [2,1,2,2,1,3,1]
[1,10,5,3,9,8,4,6,7,12,11,2] => [2,1,2,1,4,1,1]
[1,12,5,3,9,8,4,6,11,7,10,2] => [2,1,2,1,3,2,1]
[1,12,5,3,11,8,4,10,6,7,9,2] => [2,1,2,1,2,3,1]
[1,12,5,3,11,10,9,4,6,7,8,2] => [2,1,2,1,1,4,1]
[1,8,7,6,3,4,5,10,9,12,11,2] => [2,1,1,4,2,1,1]
[1,8,7,6,3,4,5,12,11,9,10,2] => [2,1,1,4,1,2,1]
[1,10,7,6,3,4,9,5,8,12,11,2] => [2,1,1,3,3,1,1]
[1,12,7,6,3,4,9,5,11,8,10,2] => [2,1,1,3,2,2,1]
[1,12,7,6,3,4,11,10,5,8,9,2] => [2,1,1,3,1,3,1]
[1,10,9,6,3,8,4,5,7,12,11,2] => [2,1,1,2,4,1,1]
[1,12,9,6,3,8,4,5,11,7,10,2] => [2,1,1,2,3,2,1]
[1,12,11,6,3,8,4,10,5,7,9,2] => [2,1,1,2,2,3,1]
[1,12,11,6,3,10,9,4,5,7,8,2] => [2,1,1,2,1,4,1]
[1,10,9,8,7,3,4,5,6,12,11,2] => [2,1,1,1,5,1,1]
[1,12,9,8,7,3,4,5,11,6,10,2] => [2,1,1,1,4,2,1]
[1,12,11,8,7,3,4,10,5,6,9,2] => [2,1,1,1,3,3,1]
[1,12,11,10,7,3,9,4,5,6,8,2] => [2,1,1,1,2,4,1]
[1,12,11,10,9,8,3,4,5,6,7,2] => [2,1,1,1,1,5,1]
[3,1,2,6,5,8,7,10,9,12,11,4] => [1,3,2,2,2,1,1]
[3,1,2,6,5,8,7,12,11,9,10,4] => [1,3,2,2,1,2,1]
[3,1,2,6,5,10,9,7,8,12,11,4] => [1,3,2,1,3,1,1]
[3,1,2,6,5,12,9,7,11,8,10,4] => [1,3,2,1,2,2,1]
[3,1,2,6,5,12,11,10,7,8,9,4] => [1,3,2,1,1,3,1]
[3,1,2,8,7,5,6,10,9,12,11,4] => [1,3,1,3,2,1,1]
[3,1,2,8,7,5,6,12,11,9,10,4] => [1,3,1,3,1,2,1]
[3,1,2,10,7,5,9,6,8,12,11,4] => [1,3,1,2,3,1,1]
[3,1,2,12,7,5,9,6,11,8,10,4] => [1,3,1,2,2,2,1]
[3,1,2,12,7,5,11,10,6,8,9,4] => [1,3,1,2,1,3,1]
[3,1,2,10,9,8,5,6,7,12,11,4] => [1,3,1,1,4,1,1]
[3,1,2,12,9,8,5,6,11,7,10,4] => [1,3,1,1,3,2,1]
[3,1,2,12,11,8,5,10,6,7,9,4] => [1,3,1,1,2,3,1]
[3,1,2,12,11,10,9,5,6,7,8,4] => [1,3,1,1,1,4,1]
[3,1,5,2,4,8,7,10,9,12,11,6] => [1,2,3,2,2,1,1]
[3,1,5,2,4,8,7,12,11,9,10,6] => [1,2,3,2,1,2,1]
[3,1,5,2,4,10,9,7,8,12,11,6] => [1,2,3,1,3,1,1]
[3,1,5,2,4,12,9,7,11,8,10,6] => [1,2,3,1,2,2,1]
[3,1,5,2,4,12,11,10,7,8,9,6] => [1,2,3,1,1,3,1]
[3,1,5,2,7,4,6,10,9,12,11,8] => [1,2,2,3,2,1,1]
[3,1,5,2,7,4,6,12,11,9,10,8] => [1,2,2,3,1,2,1]
[3,1,5,2,7,4,9,6,8,12,11,10] => [1,2,2,2,3,1,1]
[3,1,5,2,7,4,9,6,11,8,10,12] => [1,2,2,2,2,3]
[3,1,5,2,7,4,11,10,6,8,9,12] => [1,2,2,2,1,4]
[3,1,5,2,9,8,4,6,7,12,11,10] => [1,2,2,1,4,1,1]
[3,1,5,2,9,8,4,6,11,7,10,12] => [1,2,2,1,3,3]
[3,1,5,2,11,8,4,10,6,7,9,12] => [1,2,2,1,2,4]
[3,1,5,2,11,10,9,4,6,7,8,12] => [1,2,2,1,1,5]
[3,1,7,6,2,4,5,10,9,12,11,8] => [1,2,1,4,2,1,1]
[3,1,7,6,2,4,5,12,11,9,10,8] => [1,2,1,4,1,2,1]
[3,1,7,6,2,4,9,5,8,12,11,10] => [1,2,1,3,3,1,1]
[3,1,7,6,2,4,9,5,11,8,10,12] => [1,2,1,3,2,3]
[3,1,7,6,2,4,11,10,5,8,9,12] => [1,2,1,3,1,4]
[3,1,9,6,2,8,4,5,7,12,11,10] => [1,2,1,2,4,1,1]
[3,1,9,6,2,8,4,5,11,7,10,12] => [1,2,1,2,3,3]
[3,1,11,6,2,8,4,10,5,7,9,12] => [1,2,1,2,2,4]
[3,1,11,6,2,10,9,4,5,7,8,12] => [1,2,1,2,1,5]
[3,1,9,8,7,2,4,5,6,12,11,10] => [1,2,1,1,5,1,1]
[3,1,9,8,7,2,4,5,11,6,10,12] => [1,2,1,1,4,3]
[3,1,11,8,7,2,4,10,5,6,9,12] => [1,2,1,1,3,4]
[3,1,11,10,7,2,9,4,5,6,8,12] => [1,2,1,1,2,5]
[3,1,11,10,9,8,2,4,5,6,7,12] => [1,2,1,1,1,6]
[5,4,1,2,3,8,7,10,9,12,11,6] => [1,1,4,2,2,1,1]
[5,4,1,2,3,8,7,12,11,9,10,6] => [1,1,4,2,1,2,1]
[5,4,1,2,3,10,9,7,8,12,11,6] => [1,1,4,1,3,1,1]
[5,4,1,2,3,12,9,7,11,8,10,6] => [1,1,4,1,2,2,1]
[5,4,1,2,3,12,11,10,7,8,9,6] => [1,1,4,1,1,3,1]
[5,4,1,2,7,3,6,10,9,12,11,8] => [1,1,3,3,2,1,1]
[5,4,1,2,7,3,6,12,11,9,10,8] => [1,1,3,3,1,2,1]
[5,4,1,2,7,3,9,6,8,12,11,10] => [1,1,3,2,3,1,1]
[5,4,1,2,7,3,9,6,11,8,10,12] => [1,1,3,2,2,3]
[5,4,1,2,7,3,11,10,6,8,9,12] => [1,1,3,2,1,4]
[5,4,1,2,9,8,3,6,7,12,11,10] => [1,1,3,1,4,1,1]
[5,4,1,2,9,8,3,6,11,7,10,12] => [1,1,3,1,3,3]
[5,4,1,2,11,8,3,10,6,7,9,12] => [1,1,3,1,2,4]
[5,4,1,2,11,10,9,3,6,7,8,12] => [1,1,3,1,1,5]
[7,4,1,6,2,3,5,10,9,12,11,8] => [1,1,2,4,2,1,1]
[7,4,1,6,2,3,5,12,11,9,10,8] => [1,1,2,4,1,2,1]
[7,4,1,6,2,3,9,5,8,12,11,10] => [1,1,2,3,3,1,1]
[7,4,1,6,2,3,9,5,11,8,10,12] => [1,1,2,3,2,3]
[7,4,1,6,2,3,11,10,5,8,9,12] => [1,1,2,3,1,4]
[9,4,1,6,2,8,3,5,7,12,11,10] => [1,1,2,2,4,1,1]
[9,4,1,6,2,8,3,5,11,7,10,12] => [1,1,2,2,3,3]
[11,4,1,6,2,8,3,10,5,7,9,12] => [1,1,2,2,2,4]
[11,4,1,6,2,10,9,3,5,7,8,12] => [1,1,2,2,1,5]
[9,4,1,8,7,2,3,5,6,12,11,10] => [1,1,2,1,5,1,1]
[9,4,1,8,7,2,3,5,11,6,10,12] => [1,1,2,1,4,3]
[11,4,1,8,7,2,3,10,5,6,9,12] => [1,1,2,1,3,4]
[11,4,1,10,7,2,9,3,5,6,8,12] => [1,1,2,1,2,5]
[11,4,1,10,9,8,2,3,5,6,7,12] => [1,1,2,1,1,6]
[7,6,5,1,2,3,4,10,9,12,11,8] => [1,1,1,5,2,1,1]
[7,6,5,1,2,3,4,12,11,9,10,8] => [1,1,1,5,1,2,1]
[7,6,5,1,2,3,9,4,8,12,11,10] => [1,1,1,4,3,1,1]
[7,6,5,1,2,3,9,4,11,8,10,12] => [1,1,1,4,2,3]
[7,6,5,1,2,3,11,10,4,8,9,12] => [1,1,1,4,1,4]
[9,6,5,1,2,8,3,4,7,12,11,10] => [1,1,1,3,4,1,1]
[9,6,5,1,2,8,3,4,11,7,10,12] => [1,1,1,3,3,3]
[11,6,5,1,2,8,3,10,4,7,9,12] => [1,1,1,3,2,4]
[11,6,5,1,2,10,9,3,4,7,8,12] => [1,1,1,3,1,5]
[9,8,5,1,7,2,3,4,6,12,11,10] => [1,1,1,2,5,1,1]
[9,8,5,1,7,2,3,4,11,6,10,12] => [1,1,1,2,4,3]
[11,8,5,1,7,2,3,10,4,6,9,12] => [1,1,1,2,3,4]
[11,10,5,1,7,2,9,3,4,6,8,12] => [1,1,1,2,2,5]
[11,10,5,1,9,8,2,3,4,6,7,12] => [1,1,1,2,1,6]
[9,8,7,6,1,2,3,4,5,12,11,10] => [1,1,1,1,6,1,1]
[9,8,7,6,1,2,3,4,11,5,10,12] => [1,1,1,1,5,3]
[11,8,7,6,1,2,3,10,4,5,9,12] => [1,1,1,1,4,4]
[11,10,7,6,1,2,9,3,4,5,8,12] => [1,1,1,1,3,5]
[11,10,9,6,1,8,2,3,4,5,7,12] => [1,1,1,1,2,6]
[11,10,9,8,7,1,2,3,4,5,6,12] => [1,1,1,1,1,7]
[12,10,11,6,7,8,9,1,2,3,4,5] => [1,2,4,5]
[10,11,12,6,7,8,9,1,2,3,4,5] => [3,4,5]
[12,9,10,11,5,6,7,8,1,2,3,4] => [1,3,4,4]
[11,12,8,9,10,5,6,7,1,2,3,4] => [2,3,3,4]
[12,10,11,7,8,9,4,5,6,1,2,3] => [1,2,3,3,3]
[12,10,11,8,9,5,6,7,1,2,3,4] => [1,2,2,3,4]
[12,11,9,10,7,8,4,5,6,1,2,3] => [1,1,2,2,3,3]
[6,8,7,5,9,4,10,3,11,2,12,1] => [2,1,2,2,2,2,1]
[5,7,6,9,8,4,10,3,11,2,12,1] => [2,2,1,2,2,2,1]
[4,6,5,8,10,9,7,3,11,2,12,1] => [2,3,1,1,2,2,1]
[5,7,6,4,8,10,9,3,11,2,12,1] => [2,1,3,1,2,2,1]
[4,6,5,8,7,10,9,3,11,2,12,1] => [2,2,2,1,2,2,1]
[3,5,4,8,10,9,7,11,6,2,12,1] => [2,3,1,2,1,2,1]
[3,5,4,7,9,8,11,10,6,2,12,1] => [2,3,2,1,1,2,1]
[4,6,5,3,7,9,11,10,8,2,12,1] => [2,1,4,1,1,2,1]
[3,5,4,7,6,9,11,10,8,2,12,1] => [2,2,3,1,1,2,1]
[5,7,6,4,8,3,9,11,10,2,12,1] => [2,1,2,3,1,2,1]
[4,6,5,8,7,3,9,11,10,2,12,1] => [2,2,1,3,1,2,1]
[3,5,4,7,9,8,6,11,10,2,12,1] => [2,3,1,2,1,2,1]
[4,6,5,3,7,9,8,11,10,2,12,1] => [2,1,3,2,1,2,1]
[3,5,4,7,6,9,8,11,10,2,12,1] => [2,2,2,2,1,2,1]
[2,4,3,8,10,9,7,11,6,12,5,1] => [2,3,1,2,2,1,1]
[2,4,3,7,9,8,11,10,6,12,5,1] => [2,3,2,1,2,1,1]
[3,2,5,7,6,9,11,10,8,4,12,1] => [1,3,3,1,1,2,1]
[2,4,3,7,9,8,6,10,12,11,5,1] => [2,3,1,3,1,1,1]
[2,4,3,6,8,7,10,9,12,11,5,1] => [2,3,2,2,1,1,1]
[3,5,4,2,6,9,11,10,8,12,7,1] => [2,1,4,1,2,1,1]
[3,5,4,2,6,8,10,9,12,11,7,1] => [2,1,4,2,1,1,1]
[2,4,3,6,5,9,11,10,8,12,7,1] => [2,2,3,1,2,1,1]
[2,4,3,6,5,8,10,9,12,11,7,1] => [2,2,3,2,1,1,1]
[4,6,5,3,7,2,8,10,12,11,9,1] => [2,1,2,4,1,1,1]
[3,5,4,7,6,2,8,10,12,11,9,1] => [2,2,1,4,1,1,1]
[2,4,3,6,8,7,5,10,12,11,9,1] => [2,3,1,3,1,1,1]
[3,5,4,2,6,8,7,10,12,11,9,1] => [2,1,3,3,1,1,1]
[2,4,3,6,5,8,7,10,12,11,9,1] => [2,2,2,3,1,1,1]
[5,7,6,4,8,3,9,2,10,12,11,1] => [2,1,2,2,3,1,1]
[4,6,5,8,7,3,9,2,10,12,11,1] => [2,2,1,2,3,1,1]
[3,5,4,7,9,8,6,2,10,12,11,1] => [2,3,1,1,3,1,1]
[4,6,5,3,7,9,8,2,10,12,11,1] => [2,1,3,1,3,1,1]
[3,5,4,7,6,9,8,2,10,12,11,1] => [2,2,2,1,3,1,1]
[2,4,3,7,9,8,6,10,5,12,11,1] => [2,3,1,2,2,1,1]
[2,4,3,6,8,7,10,9,5,12,11,1] => [2,3,2,1,2,1,1]
[3,5,4,2,6,8,10,9,7,12,11,1] => [2,1,4,1,2,1,1]
[2,4,3,6,5,8,10,9,7,12,11,1] => [2,2,3,1,2,1,1]
[4,6,5,3,7,2,8,10,9,12,11,1] => [2,1,2,3,2,1,1]
[3,5,4,7,6,2,8,10,9,12,11,1] => [2,2,1,3,2,1,1]
[2,4,3,6,8,7,5,10,9,12,11,1] => [2,3,1,2,2,1,1]
[3,5,4,2,6,8,7,10,9,12,11,1] => [2,1,3,2,2,1,1]
[2,4,3,6,5,8,7,10,9,12,11,1] => [2,2,2,2,2,1,1]
[2,1,7,9,8,6,10,5,11,4,12,3] => [1,3,1,2,2,2,1]
[2,1,6,8,7,10,9,5,11,4,12,3] => [1,3,2,1,2,2,1]
[2,1,5,7,6,9,11,10,8,4,12,3] => [1,3,3,1,1,2,1]
[2,1,6,8,7,5,9,11,10,4,12,3] => [1,3,1,3,1,2,1]
[2,1,5,7,6,9,8,11,10,4,12,3] => [1,3,2,2,1,2,1]
[2,1,4,6,5,9,11,10,8,12,7,3] => [1,3,3,1,2,1,1]
[2,1,4,6,5,8,10,9,12,11,7,3] => [1,3,3,2,1,1,1]
[2,1,5,7,6,4,8,10,12,11,9,3] => [1,3,1,4,1,1,1]
[2,1,4,6,5,8,7,10,12,11,9,3] => [1,3,2,3,1,1,1]
[2,1,6,8,7,5,9,4,10,12,11,3] => [1,3,1,2,3,1,1]
[2,1,5,7,6,9,8,4,10,12,11,3] => [1,3,2,1,3,1,1]
[2,1,4,6,5,8,10,9,7,12,11,3] => [1,3,3,1,2,1,1]
[2,1,5,7,6,4,8,10,9,12,11,3] => [1,3,1,3,2,1,1]
[2,1,4,6,5,8,7,10,9,12,11,3] => [1,3,2,2,2,1,1]
[3,2,7,9,8,6,10,5,11,4,1,12] => [1,3,1,2,2,1,2]
[3,2,6,8,7,10,9,5,11,4,1,12] => [1,3,2,1,2,1,2]
[2,4,3,1,6,8,7,10,12,11,9,5] => [2,1,3,3,1,1,1]
[3,2,6,8,7,5,9,11,10,4,1,12] => [1,3,1,3,1,1,2]
[3,2,5,7,6,9,8,11,10,4,1,12] => [1,3,2,2,1,1,2]
[2,1,6,8,7,5,9,4,10,3,12,11] => [1,3,1,2,2,2,1]
[2,1,5,7,6,9,8,4,10,3,12,11] => [1,3,2,1,2,2,1]
[2,1,4,3,6,8,7,10,12,11,9,5] => [1,2,3,3,1,1,1]
[2,1,5,7,6,4,8,10,9,3,12,11] => [1,3,1,3,1,2,1]
[2,1,4,6,5,8,7,10,9,3,12,11] => [1,3,2,2,1,2,1]
[4,3,7,9,8,6,10,5,2,11,1,12] => [1,3,1,2,1,2,2]
[4,3,6,8,7,10,9,5,2,11,1,12] => [1,3,2,1,1,2,2]
[3,2,6,8,7,5,9,4,11,10,1,12] => [1,3,1,2,2,1,2]
[3,2,5,7,6,9,8,4,11,10,1,12] => [1,3,2,1,2,1,2]
[2,1,4,6,5,3,9,11,10,8,12,7] => [1,3,1,3,1,2,1]
[2,1,4,6,5,3,8,10,9,12,11,7] => [1,3,1,3,2,1,1]
[3,2,6,8,7,5,9,4,1,10,12,11] => [1,3,1,2,1,3,1]
[3,2,5,7,6,9,8,4,1,10,12,11] => [1,3,2,1,1,3,1]
[2,1,5,7,6,4,8,3,10,9,12,11] => [1,3,1,2,2,2,1]
[2,1,4,6,5,8,7,3,10,9,12,11] => [1,3,2,1,2,2,1]
[5,4,7,9,8,6,3,10,2,11,1,12] => [1,3,1,1,2,2,2]
[4,3,6,8,7,5,10,9,2,11,1,12] => [1,3,1,2,1,2,2]
[3,2,5,7,6,4,9,11,10,8,1,12] => [1,3,1,3,1,1,2]
[4,3,6,8,7,5,2,9,11,10,1,12] => [1,3,1,1,3,1,2]
[3,2,5,7,6,4,9,8,11,10,1,12] => [1,3,1,2,2,1,2]
[2,1,5,7,6,4,8,3,10,12,11,9] => [1,3,1,2,3,1,1]
[2,1,4,6,5,8,7,3,10,12,11,9] => [1,3,2,1,3,1,1]
[3,2,5,7,6,4,1,8,10,12,11,9] => [1,3,1,1,4,1,1]
[4,3,6,8,7,5,2,9,1,10,12,11] => [1,3,1,1,2,3,1]
[3,2,5,7,6,4,9,8,1,10,12,11] => [1,3,1,2,1,3,1]
[3,2,5,7,6,4,1,8,10,9,12,11] => [1,3,1,1,3,2,1]
[6,5,8,7,4,9,3,10,2,11,1,12] => [1,2,1,2,2,2,2]
[5,4,7,6,9,8,3,10,2,11,1,12] => [1,2,2,1,2,2,2]
[3,5,4,8,10,9,7,6,2,11,1,12] => [2,3,1,1,1,2,2]
[5,4,7,6,3,8,10,9,2,11,1,12] => [1,2,1,3,1,2,2]
[4,3,6,5,8,7,10,9,2,11,1,12] => [1,2,2,2,1,2,2]
[2,4,3,8,10,9,7,11,6,5,1,12] => [2,3,1,2,1,1,2]
[2,4,3,7,9,8,11,10,6,5,1,12] => [2,3,2,1,1,1,2]
[3,5,4,2,6,9,11,10,8,7,1,12] => [2,1,4,1,1,1,2]
[2,4,3,6,5,9,11,10,8,7,1,12] => [2,2,3,1,1,1,2]
[5,4,7,6,3,8,2,9,11,10,1,12] => [1,2,1,2,3,1,2]
[4,3,6,5,8,7,2,9,11,10,1,12] => [1,2,2,1,3,1,2]
[2,4,3,7,9,8,6,5,11,10,1,12] => [2,3,1,1,2,1,2]
[4,3,6,5,2,7,9,8,11,10,1,12] => [1,2,1,3,2,1,2]
[1,3,2,8,10,9,7,11,6,12,5,4] => [2,3,1,2,2,1,1]
[1,3,2,7,9,8,11,10,6,12,5,4] => [2,3,2,1,2,1,1]
[2,1,4,6,5,9,11,10,8,7,3,12] => [1,3,3,1,1,1,2]
[1,3,2,7,9,8,6,10,12,11,5,4] => [2,3,1,3,1,1,1]
[1,3,2,6,8,7,10,9,12,11,5,4] => [2,3,2,2,1,1,1]
[2,4,3,1,5,9,11,10,8,12,7,6] => [2,1,4,1,2,1,1]
[2,4,3,1,5,8,10,9,12,11,7,6] => [2,1,4,2,1,1,1]
[1,3,2,5,4,9,11,10,8,12,7,6] => [2,2,3,1,2,1,1]
[1,3,2,5,4,8,10,9,12,11,7,6] => [2,2,3,2,1,1,1]
[3,5,4,2,6,1,7,10,12,11,9,8] => [2,1,2,4,1,1,1]
[2,4,3,6,5,1,7,10,12,11,9,8] => [2,2,1,4,1,1,1]
[1,3,2,6,8,7,5,4,10,12,11,9] => [2,3,1,1,3,1,1]
[2,4,3,1,5,7,6,10,12,11,9,8] => [2,1,3,3,1,1,1]
[1,3,2,5,4,7,6,10,12,11,9,8] => [2,2,2,3,1,1,1]
[5,4,7,6,3,8,2,9,1,10,12,11] => [1,2,1,2,2,3,1]
[4,3,6,5,8,7,2,9,1,10,12,11] => [1,2,2,1,2,3,1]
[2,4,3,7,9,8,6,5,1,10,12,11] => [2,3,1,1,1,3,1]
[4,3,6,5,2,7,9,8,1,10,12,11] => [1,2,1,3,1,3,1]
[3,2,5,4,7,6,9,8,1,10,12,11] => [1,2,2,2,1,3,1]
[1,3,2,7,9,8,6,10,5,4,12,11] => [2,3,1,2,1,2,1]
[1,3,2,6,8,7,10,9,5,4,12,11] => [2,3,2,1,1,2,1]
[2,4,3,1,5,8,10,9,7,6,12,11] => [2,1,4,1,1,2,1]
[1,3,2,5,4,8,10,9,7,6,12,11] => [2,2,3,1,1,2,1]
[4,3,6,5,2,7,1,8,10,9,12,11] => [1,2,1,2,3,2,1]
[3,2,5,4,7,6,1,8,10,9,12,11] => [1,2,2,1,3,2,1]
[1,3,2,6,8,7,5,4,10,9,12,11] => [2,3,1,1,2,2,1]
[3,2,5,4,1,6,8,7,10,9,12,11] => [1,2,1,3,2,2,1]
[12,2,3,4,5,6,7,8,9,10,1,11] => [1,9,2]
[3,12,1,4,5,6,7,8,9,10,11,2] => [2,9,1]
[12,3,4,5,6,7,8,9,10,11,1,2] => [1,9,2]
[2,1,4,3,6,5,8,7,11,10,12,9] => [1,2,2,2,2,2,1]
[2,1,4,3,6,5,9,8,10,7,12,11] => [1,2,2,2,2,2,1]
[2,1,4,3,6,5,9,8,11,10,12,7] => [1,2,2,2,2,2,1]
[2,1,4,3,6,5,10,9,11,8,12,7] => [1,2,2,2,2,2,1]
[2,1,4,3,7,6,8,5,10,9,12,11] => [1,2,2,2,2,2,1]
[2,1,4,3,7,6,8,5,11,10,12,9] => [1,2,2,2,2,2,1]
[2,1,4,3,7,6,9,8,10,5,12,11] => [1,2,2,2,2,2,1]
[2,1,4,3,7,6,9,8,11,10,12,5] => [1,2,2,2,2,2,1]
[2,1,4,3,7,6,10,9,11,8,12,5] => [1,2,2,2,2,2,1]
[2,1,4,3,8,7,9,6,10,5,12,11] => [1,2,2,2,2,2,1]
[2,1,4,3,8,7,9,6,11,10,12,5] => [1,2,2,2,2,2,1]
[2,1,4,3,8,7,10,9,11,6,12,5] => [1,2,2,2,2,2,1]
[2,1,4,3,9,8,10,7,11,6,12,5] => [1,2,2,2,2,2,1]
[2,1,5,4,6,3,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[2,1,5,4,6,3,8,7,11,10,12,9] => [1,2,2,2,2,2,1]
[2,1,5,4,6,3,9,8,10,7,12,11] => [1,2,2,2,2,2,1]
[2,1,5,4,6,3,9,8,11,10,12,7] => [1,2,2,2,2,2,1]
[2,1,5,4,6,3,10,9,11,8,12,7] => [1,2,2,2,2,2,1]
[2,1,5,4,7,6,8,3,10,9,12,11] => [1,2,2,2,2,2,1]
[2,1,5,4,7,6,8,3,11,10,12,9] => [1,2,2,2,2,2,1]
[2,1,5,4,7,6,9,8,10,3,12,11] => [1,2,2,2,2,2,1]
[2,1,5,4,7,6,9,8,11,10,12,3] => [1,2,2,2,2,2,1]
[2,1,5,4,7,6,10,9,11,8,12,3] => [1,2,2,2,2,2,1]
[2,1,5,4,8,7,9,6,10,3,12,11] => [1,2,2,2,2,2,1]
[2,1,5,4,8,7,9,6,11,10,12,3] => [1,2,2,2,2,2,1]
[2,1,5,4,8,7,10,9,11,6,12,3] => [1,2,2,2,2,2,1]
[2,1,5,4,9,8,10,7,11,6,12,3] => [1,2,2,2,2,2,1]
[2,1,6,5,7,4,8,3,10,9,12,11] => [1,2,2,2,2,2,1]
[2,1,6,5,7,4,8,3,11,10,12,9] => [1,2,2,2,2,2,1]
[2,1,6,5,7,4,9,8,10,3,12,11] => [1,2,2,2,2,2,1]
[2,1,6,5,7,4,9,8,11,10,12,3] => [1,2,2,2,2,2,1]
[2,1,6,5,7,4,10,9,11,8,12,3] => [1,2,2,2,2,2,1]
[2,1,6,5,8,7,9,4,10,3,12,11] => [1,2,2,2,2,2,1]
[2,1,6,5,8,7,9,4,11,10,12,3] => [1,2,2,2,2,2,1]
[2,1,6,5,8,7,10,9,11,4,12,3] => [1,2,2,2,2,2,1]
[2,1,6,5,9,8,10,7,11,4,12,3] => [1,2,2,2,2,2,1]
[2,1,7,6,8,5,9,4,10,3,12,11] => [1,2,2,2,2,2,1]
[2,1,7,6,8,5,9,4,11,10,12,3] => [1,2,2,2,2,2,1]
[2,1,7,6,8,5,10,9,11,4,12,3] => [1,2,2,2,2,2,1]
[2,1,7,6,9,8,10,5,11,4,12,3] => [1,2,2,2,2,2,1]
[2,1,8,7,9,6,10,5,11,4,12,3] => [1,2,2,2,2,2,1]
[3,2,4,1,6,5,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[3,2,4,1,6,5,8,7,11,10,12,9] => [1,2,2,2,2,2,1]
[3,2,4,1,6,5,9,8,10,7,12,11] => [1,2,2,2,2,2,1]
[3,2,4,1,6,5,9,8,11,10,12,7] => [1,2,2,2,2,2,1]
[3,2,4,1,6,5,10,9,11,8,12,7] => [1,2,2,2,2,2,1]
[3,2,4,1,7,6,8,5,10,9,12,11] => [1,2,2,2,2,2,1]
[3,2,4,1,7,6,8,5,11,10,12,9] => [1,2,2,2,2,2,1]
[3,2,4,1,7,6,9,8,10,5,12,11] => [1,2,2,2,2,2,1]
[3,2,4,1,7,6,9,8,11,10,12,5] => [1,2,2,2,2,2,1]
[3,2,4,1,7,6,10,9,11,8,12,5] => [1,2,2,2,2,2,1]
[3,2,4,1,8,7,9,6,10,5,12,11] => [1,2,2,2,2,2,1]
[3,2,4,1,8,7,9,6,11,10,12,5] => [1,2,2,2,2,2,1]
[3,2,4,1,8,7,10,9,11,6,12,5] => [1,2,2,2,2,2,1]
[3,2,4,1,9,8,10,7,11,6,12,5] => [1,2,2,2,2,2,1]
[3,2,5,4,6,1,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[3,2,5,4,6,1,8,7,11,10,12,9] => [1,2,2,2,2,2,1]
[3,2,5,4,6,1,9,8,10,7,12,11] => [1,2,2,2,2,2,1]
[3,2,5,4,6,1,9,8,11,10,12,7] => [1,2,2,2,2,2,1]
[3,2,5,4,6,1,10,9,11,8,12,7] => [1,2,2,2,2,2,1]
[3,2,5,4,7,6,8,1,10,9,12,11] => [1,2,2,2,2,2,1]
[3,2,5,4,7,6,8,1,11,10,12,9] => [1,2,2,2,2,2,1]
[3,2,5,4,7,6,9,8,10,1,12,11] => [1,2,2,2,2,2,1]
[3,2,5,4,7,6,9,8,11,10,12,1] => [1,2,2,2,2,2,1]
[3,2,5,4,7,6,10,9,11,8,12,1] => [1,2,2,2,2,2,1]
[3,2,5,4,8,7,9,6,10,1,12,11] => [1,2,2,2,2,2,1]
[3,2,5,4,8,7,9,6,11,10,12,1] => [1,2,2,2,2,2,1]
[3,2,5,4,8,7,10,9,11,6,12,1] => [1,2,2,2,2,2,1]
[3,2,5,4,9,8,10,7,11,6,12,1] => [1,2,2,2,2,2,1]
[3,2,6,5,7,4,8,1,10,9,12,11] => [1,2,2,2,2,2,1]
[3,2,6,5,7,4,8,1,11,10,12,9] => [1,2,2,2,2,2,1]
[3,2,6,5,7,4,9,8,10,1,12,11] => [1,2,2,2,2,2,1]
[3,2,6,5,7,4,9,8,11,10,12,1] => [1,2,2,2,2,2,1]
[3,2,6,5,7,4,10,9,11,8,12,1] => [1,2,2,2,2,2,1]
[3,2,6,5,8,7,9,4,10,1,12,11] => [1,2,2,2,2,2,1]
[3,2,6,5,8,7,9,4,11,10,12,1] => [1,2,2,2,2,2,1]
[3,2,6,5,8,7,10,9,11,4,12,1] => [1,2,2,2,2,2,1]
[3,2,6,5,9,8,10,7,11,4,12,1] => [1,2,2,2,2,2,1]
[3,2,7,6,8,5,9,4,10,1,12,11] => [1,2,2,2,2,2,1]
[3,2,7,6,8,5,9,4,11,10,12,1] => [1,2,2,2,2,2,1]
[3,2,7,6,8,5,10,9,11,4,12,1] => [1,2,2,2,2,2,1]
[3,2,7,6,9,8,10,5,11,4,12,1] => [1,2,2,2,2,2,1]
[3,2,8,7,9,6,10,5,11,4,12,1] => [1,2,2,2,2,2,1]
[4,3,5,2,6,1,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[4,3,5,2,6,1,8,7,11,10,12,9] => [1,2,2,2,2,2,1]
[4,3,5,2,6,1,9,8,10,7,12,11] => [1,2,2,2,2,2,1]
[4,3,5,2,6,1,9,8,11,10,12,7] => [1,2,2,2,2,2,1]
[4,3,5,2,6,1,10,9,11,8,12,7] => [1,2,2,2,2,2,1]
[4,3,5,2,7,6,8,1,10,9,12,11] => [1,2,2,2,2,2,1]
[4,3,5,2,7,6,8,1,11,10,12,9] => [1,2,2,2,2,2,1]
[4,3,5,2,7,6,9,8,10,1,12,11] => [1,2,2,2,2,2,1]
[4,3,5,2,7,6,9,8,11,10,12,1] => [1,2,2,2,2,2,1]
[4,3,5,2,7,6,10,9,11,8,12,1] => [1,2,2,2,2,2,1]
[4,3,5,2,8,7,9,6,10,1,12,11] => [1,2,2,2,2,2,1]
[4,3,5,2,8,7,9,6,11,10,12,1] => [1,2,2,2,2,2,1]
[4,3,5,2,8,7,10,9,11,6,12,1] => [1,2,2,2,2,2,1]
[4,3,5,2,9,8,10,7,11,6,12,1] => [1,2,2,2,2,2,1]
[4,3,6,5,7,2,8,1,10,9,12,11] => [1,2,2,2,2,2,1]
[4,3,6,5,7,2,8,1,11,10,12,9] => [1,2,2,2,2,2,1]
[4,3,6,5,7,2,9,8,10,1,12,11] => [1,2,2,2,2,2,1]
[4,3,6,5,7,2,9,8,11,10,12,1] => [1,2,2,2,2,2,1]
[4,3,6,5,7,2,10,9,11,8,12,1] => [1,2,2,2,2,2,1]
[4,3,6,5,8,7,9,2,10,1,12,11] => [1,2,2,2,2,2,1]
[4,3,6,5,8,7,9,2,11,10,12,1] => [1,2,2,2,2,2,1]
[4,3,6,5,8,7,10,9,11,2,12,1] => [1,2,2,2,2,2,1]
[4,3,6,5,9,8,10,7,11,2,12,1] => [1,2,2,2,2,2,1]
[4,3,7,6,8,5,9,2,10,1,12,11] => [1,2,2,2,2,2,1]
[4,3,7,6,8,5,9,2,11,10,12,1] => [1,2,2,2,2,2,1]
[4,3,7,6,8,5,10,9,11,2,12,1] => [1,2,2,2,2,2,1]
[4,3,7,6,9,8,10,5,11,2,12,1] => [1,2,2,2,2,2,1]
[4,3,8,7,9,6,10,5,11,2,12,1] => [1,2,2,2,2,2,1]
[5,4,6,3,7,2,8,1,10,9,12,11] => [1,2,2,2,2,2,1]
[5,4,6,3,7,2,8,1,11,10,12,9] => [1,2,2,2,2,2,1]
[5,4,6,3,7,2,9,8,10,1,12,11] => [1,2,2,2,2,2,1]
[5,4,6,3,7,2,9,8,11,10,12,1] => [1,2,2,2,2,2,1]
[5,4,6,3,7,2,10,9,11,8,12,1] => [1,2,2,2,2,2,1]
[5,4,6,3,8,7,9,2,10,1,12,11] => [1,2,2,2,2,2,1]
[5,4,6,3,8,7,9,2,11,10,12,1] => [1,2,2,2,2,2,1]
[5,4,6,3,8,7,10,9,11,2,12,1] => [1,2,2,2,2,2,1]
[5,4,6,3,9,8,10,7,11,2,12,1] => [1,2,2,2,2,2,1]
[5,4,7,6,8,3,9,2,10,1,12,11] => [1,2,2,2,2,2,1]
[5,4,7,6,8,3,9,2,11,10,12,1] => [1,2,2,2,2,2,1]
[5,4,7,6,8,3,10,9,11,2,12,1] => [1,2,2,2,2,2,1]
[5,4,7,6,9,8,10,3,11,2,12,1] => [1,2,2,2,2,2,1]
[5,4,8,7,9,6,10,3,11,2,12,1] => [1,2,2,2,2,2,1]
[6,5,7,4,8,3,9,2,10,1,12,11] => [1,2,2,2,2,2,1]
[6,5,7,4,8,3,9,2,11,10,12,1] => [1,2,2,2,2,2,1]
[6,5,7,4,8,3,10,9,11,2,12,1] => [1,2,2,2,2,2,1]
[6,5,7,4,9,8,10,3,11,2,12,1] => [1,2,2,2,2,2,1]
[6,5,8,7,9,4,10,3,11,2,12,1] => [1,2,2,2,2,2,1]
[7,6,8,5,9,4,10,3,11,2,12,1] => [1,2,2,2,2,2,1]
[1,2,3,4,5,6,7,8,9,11,10,12] => [10,2]
[1,2,3,4,5,6,7,9,8,10,11,12] => [8,4]
[1,2,3,4,5,6,7,9,8,11,10,12] => [8,2,2]
[1,2,3,4,5,6,7,10,9,12,8,11] => [8,2,2]
[1,2,3,4,5,7,6,8,9,10,11,12] => [6,6]
[1,2,3,4,5,7,6,8,9,11,10,12] => [6,4,2]
[1,2,3,4,5,7,6,9,8,10,11,12] => [6,2,4]
[1,2,3,4,5,7,6,9,8,11,10,12] => [6,2,2,2]
[1,2,3,4,5,7,6,10,9,12,8,11] => [6,2,2,2]
[1,2,3,4,5,8,7,10,6,9,11,12] => [6,2,4]
[1,2,3,4,5,8,7,11,10,12,6,9] => [6,2,2,2]
[1,2,3,4,5,8,7,11,6,10,9,12] => [6,2,2,2]
[1,2,3,4,5,9,8,12,6,10,7,11] => [6,2,2,2]
[1,2,3,5,4,6,7,8,9,10,11,12] => [4,8]
[1,2,3,5,4,6,7,8,9,11,10,12] => [4,6,2]
[1,2,3,5,4,6,7,9,8,10,11,12] => [4,4,4]
[1,2,3,5,4,6,7,9,8,11,10,12] => [4,4,2,2]
[1,2,3,5,4,6,7,10,9,12,8,11] => [4,4,2,2]
[1,2,3,5,4,7,6,8,9,10,11,12] => [4,2,6]
[1,2,3,5,4,7,6,8,9,11,10,12] => [4,2,4,2]
[1,2,3,5,4,7,6,9,8,10,11,12] => [4,2,2,4]
[1,2,3,5,4,7,6,9,8,11,10,12] => [4,2,2,2,2]
[1,2,3,5,4,7,6,10,9,12,8,11] => [4,2,2,2,2]
[1,2,3,5,4,8,7,10,6,9,11,12] => [4,2,2,4]
[1,2,3,5,4,8,7,11,10,12,6,9] => [4,2,2,2,2]
[1,2,3,5,4,8,7,11,6,10,9,12] => [4,2,2,2,2]
[1,2,3,5,4,9,8,12,6,10,7,11] => [4,2,2,2,2]
[1,2,3,6,5,8,4,7,9,10,11,12] => [4,2,6]
[1,2,3,6,5,8,4,7,9,11,10,12] => [4,2,4,2]
[1,2,3,6,5,9,8,10,4,7,11,12] => [4,2,2,4]
[1,2,3,6,5,9,8,11,10,12,4,7] => [4,2,2,2,2]
[1,2,3,6,5,10,9,12,4,7,8,11] => [4,2,2,4]
[1,2,3,6,5,9,4,8,7,10,11,12] => [4,2,2,4]
[1,2,3,6,5,9,4,8,7,11,10,12] => [4,2,2,2,2]
[1,2,3,6,5,10,9,12,4,8,7,11] => [4,2,2,2,2]
[1,2,3,6,5,10,7,11,4,9,8,12] => [4,2,2,2,2]
[1,2,3,7,6,10,4,8,5,9,11,12] => [4,2,2,4]
[1,2,3,7,6,11,10,12,4,8,5,9] => [4,2,2,2,2]
[1,2,3,7,6,11,4,8,5,10,9,12] => [4,2,2,2,2]
[1,2,3,7,6,11,4,9,8,12,5,10] => [4,2,2,2,2]
[1,2,3,8,7,12,4,9,6,11,5,10] => [4,2,2,2,2]
[1,3,2,4,5,6,7,8,9,10,11,12] => [2,10]
[1,3,2,4,5,6,7,8,9,11,10,12] => [2,8,2]
[1,3,2,4,5,6,7,9,8,10,11,12] => [2,6,4]
[1,3,2,4,5,6,7,9,8,11,10,12] => [2,6,2,2]
[1,3,2,4,5,6,7,10,9,12,8,11] => [2,6,2,2]
[1,3,2,4,5,7,6,8,9,10,11,12] => [2,4,6]
[1,3,2,4,5,7,6,8,9,11,10,12] => [2,4,4,2]
[1,3,2,4,5,7,6,9,8,10,11,12] => [2,4,2,4]
[1,3,2,4,5,7,6,9,8,11,10,12] => [2,4,2,2,2]
[1,3,2,4,5,7,6,10,9,12,8,11] => [2,4,2,2,2]
[1,3,2,4,5,8,7,10,6,9,11,12] => [2,4,2,4]
[1,3,2,4,5,8,7,11,10,12,6,9] => [2,4,2,2,2]
[1,3,2,4,5,8,7,11,6,10,9,12] => [2,4,2,2,2]
[1,3,2,4,5,9,8,12,6,10,7,11] => [2,4,2,2,2]
[1,3,2,5,4,6,7,8,9,10,11,12] => [2,2,8]
[1,3,2,5,4,6,7,8,9,11,10,12] => [2,2,6,2]
[1,3,2,5,4,6,7,9,8,10,11,12] => [2,2,4,4]
[1,3,2,5,4,6,7,9,8,11,10,12] => [2,2,4,2,2]
[1,3,2,5,4,6,7,10,9,12,8,11] => [2,2,4,2,2]
[1,3,2,5,4,7,6,8,9,10,11,12] => [2,2,2,6]
[1,3,2,5,4,7,6,8,9,11,10,12] => [2,2,2,4,2]
[1,3,2,5,4,7,6,9,8,10,11,12] => [2,2,2,2,4]
[1,3,2,5,4,7,6,9,8,11,10,12] => [2,2,2,2,2,2]
[1,3,2,5,4,7,6,10,9,12,8,11] => [2,2,2,2,2,2]
[1,3,2,5,4,8,7,10,6,9,11,12] => [2,2,2,2,4]
[1,3,2,5,4,8,7,11,10,12,6,9] => [2,2,2,2,2,2]
[1,3,2,5,4,8,7,11,6,10,9,12] => [2,2,2,2,2,2]
[1,3,2,5,4,9,8,12,6,10,7,11] => [2,2,2,2,2,2]
[1,3,2,6,5,8,4,7,9,10,11,12] => [2,2,2,6]
[1,3,2,6,5,8,4,7,9,11,10,12] => [2,2,2,4,2]
[1,3,2,6,5,9,8,10,4,7,11,12] => [2,2,2,2,4]
[1,3,2,6,5,9,8,11,10,12,4,7] => [2,2,2,2,2,2]
[1,3,2,6,5,10,9,12,4,7,8,11] => [2,2,2,2,4]
[1,3,2,6,5,9,4,8,7,10,11,12] => [2,2,2,2,4]
[1,3,2,6,5,9,4,8,7,11,10,12] => [2,2,2,2,2,2]
[1,3,2,6,5,10,9,12,4,8,7,11] => [2,2,2,2,2,2]
[1,3,2,6,5,10,7,11,4,9,8,12] => [2,2,2,2,2,2]
[1,3,2,7,6,10,4,8,5,9,11,12] => [2,2,2,2,4]
[1,3,2,7,6,11,10,12,4,8,5,9] => [2,2,2,2,2,2]
[1,3,2,7,6,11,4,8,5,10,9,12] => [2,2,2,2,2,2]
[1,3,2,7,6,11,4,9,8,12,5,10] => [2,2,2,2,2,2]
[1,3,2,8,7,12,4,9,6,11,5,10] => [2,2,2,2,2,2]
[1,4,3,6,2,5,7,8,9,10,11,12] => [2,2,8]
[1,4,3,6,2,5,7,8,9,11,10,12] => [2,2,6,2]
[1,4,3,6,2,5,7,9,8,10,11,12] => [2,2,4,4]
[1,4,3,6,2,5,7,9,8,11,10,12] => [2,2,4,2,2]
[1,4,3,6,2,5,7,10,9,12,8,11] => [2,2,4,2,2]
[1,4,3,7,6,8,2,5,9,10,11,12] => [2,2,2,6]
[1,4,3,7,6,8,2,5,9,11,10,12] => [2,2,2,4,2]
[1,4,3,7,6,9,8,10,2,5,11,12] => [2,2,2,2,4]
[1,4,3,7,6,9,8,11,10,12,2,5] => [2,2,2,2,2,2]
[1,4,3,7,6,10,9,12,2,5,8,11] => [2,2,2,2,4]
[1,4,3,8,7,10,2,5,6,9,11,12] => [2,2,2,6]
[1,4,3,8,7,11,10,12,2,5,6,9] => [2,2,2,2,4]
[1,4,3,8,7,11,6,10,9,12,2,5] => [2,2,2,2,2,2]
[1,4,3,9,8,12,2,5,6,10,7,11] => [2,2,2,4,2]
[1,4,3,7,2,6,5,8,9,10,11,12] => [2,2,2,6]
[1,4,3,7,2,6,5,8,9,11,10,12] => [2,2,2,4,2]
[1,4,3,7,2,6,5,9,8,10,11,12] => [2,2,2,2,4]
[1,4,3,7,2,6,5,9,8,11,10,12] => [2,2,2,2,2,2]
[1,4,3,7,2,6,5,10,9,12,8,11] => [2,2,2,2,2,2]
[1,4,3,8,7,10,2,6,5,9,11,12] => [2,2,2,2,4]
[1,4,3,8,7,11,10,12,2,6,5,9] => [2,2,2,2,2,2]
[1,4,3,8,7,11,2,6,5,10,9,12] => [2,2,2,2,2,2]
[1,4,3,9,8,12,2,6,5,10,7,11] => [2,2,2,2,2,2]
[1,4,3,8,5,9,2,7,6,10,11,12] => [2,2,2,2,4]
[1,4,3,8,5,9,2,7,6,11,10,12] => [2,2,2,2,2,2]
[1,4,3,8,5,10,9,12,2,7,6,11] => [2,2,2,2,2,2]
[1,4,3,9,8,12,2,7,6,11,5,10] => [2,2,2,2,2,2]
[1,4,3,9,6,11,2,8,7,12,5,10] => [2,2,2,2,2,2]
[1,5,4,8,2,6,3,7,9,10,11,12] => [2,2,2,6]
[1,5,4,8,2,6,3,7,9,11,10,12] => [2,2,2,4,2]
[1,5,4,9,8,10,2,6,3,7,11,12] => [2,2,2,2,4]
[1,5,4,9,8,11,10,12,2,6,3,7] => [2,2,2,2,2,2]
[1,5,4,10,9,12,2,6,3,7,8,11] => [2,2,2,2,4]
[1,5,4,9,2,6,3,8,7,10,11,12] => [2,2,2,2,4]
[1,5,4,9,2,6,3,8,7,11,10,12] => [2,2,2,2,2,2]
[1,5,4,10,9,12,2,6,3,8,7,11] => [2,2,2,2,2,2]
[1,5,4,10,7,11,2,6,3,9,8,12] => [2,2,2,2,2,2]
[1,5,4,9,2,7,6,10,3,8,11,12] => [2,2,2,2,4]
[1,5,4,9,2,7,6,11,10,12,3,8] => [2,2,2,2,2,2]
[1,5,4,10,9,12,2,7,6,11,3,8] => [2,2,2,2,2,2]
[1,5,4,10,3,9,8,12,2,7,6,11] => [2,2,2,2,2,2]
[1,5,4,10,3,9,6,11,2,8,7,12] => [2,2,2,2,2,2]
[1,6,5,10,2,7,4,9,3,8,11,12] => [2,2,2,2,4]
[1,6,5,11,10,12,2,7,4,9,3,8] => [2,2,2,2,2,2]
[1,6,5,11,2,7,4,10,9,12,3,8] => [2,2,2,2,2,2]
[1,6,5,11,2,7,4,10,3,9,8,12] => [2,2,2,2,2,2]
[1,6,5,11,2,8,7,12,3,9,4,10] => [2,2,2,2,2,2]
[1,7,6,12,2,8,5,11,3,9,4,10] => [2,2,2,2,2,2]
[3,4,5,6,7,8,9,10,11,1,12,2] => [9,2,1]
[4,2,5,6,7,8,9,10,11,12,1,3] => [1,9,2]
[2,1,4,3,6,5,8,7,11,9,12,10] => [1,2,2,2,2,2,1]
[2,1,4,3,6,5,9,7,10,8,12,11] => [1,2,2,2,2,2,1]
[2,1,4,3,6,5,9,7,11,8,12,10] => [1,2,2,2,2,2,1]
[2,1,4,3,6,5,10,7,11,8,12,9] => [1,2,2,2,2,2,1]
[2,1,4,3,7,5,8,6,10,9,12,11] => [1,2,2,2,2,2,1]
[2,1,4,3,7,5,8,6,11,9,12,10] => [1,2,2,2,2,2,1]
[2,1,4,3,7,5,9,6,10,8,12,11] => [1,2,2,2,2,2,1]
[2,1,4,3,7,5,9,6,11,8,12,10] => [1,2,2,2,2,2,1]
[2,1,4,3,7,5,10,6,11,8,12,9] => [1,2,2,2,2,2,1]
[2,1,4,3,8,5,9,6,10,7,12,11] => [1,2,2,2,2,2,1]
[2,1,4,3,8,5,9,6,11,7,12,10] => [1,2,2,2,2,2,1]
[2,1,4,3,8,5,10,6,11,7,12,9] => [1,2,2,2,2,2,1]
[2,1,4,3,9,5,10,6,11,7,12,8] => [1,2,2,2,2,2,1]
[2,1,5,3,6,4,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[2,1,5,3,6,4,8,7,11,9,12,10] => [1,2,2,2,2,2,1]
[2,1,5,3,6,4,9,7,10,8,12,11] => [1,2,2,2,2,2,1]
[2,1,5,3,6,4,9,7,11,8,12,10] => [1,2,2,2,2,2,1]
[2,1,5,3,6,4,10,7,11,8,12,9] => [1,2,2,2,2,2,1]
[2,1,5,3,7,4,8,6,10,9,12,11] => [1,2,2,2,2,2,1]
[2,1,5,3,7,4,8,6,11,9,12,10] => [1,2,2,2,2,2,1]
[2,1,5,3,7,4,9,6,10,8,12,11] => [1,2,2,2,2,2,1]
[2,1,5,3,7,4,9,6,11,8,12,10] => [1,2,2,2,2,2,1]
[2,1,5,3,7,4,10,6,11,8,12,9] => [1,2,2,2,2,2,1]
[2,1,5,3,8,4,9,6,10,7,12,11] => [1,2,2,2,2,2,1]
[2,1,5,3,8,4,9,6,11,7,12,10] => [1,2,2,2,2,2,1]
[2,1,5,3,8,4,10,6,11,7,12,9] => [1,2,2,2,2,2,1]
[2,1,5,3,9,4,10,6,11,7,12,8] => [1,2,2,2,2,2,1]
[2,1,6,3,7,4,8,5,10,9,12,11] => [1,2,2,2,2,2,1]
[2,1,6,3,7,4,8,5,11,9,12,10] => [1,2,2,2,2,2,1]
[2,1,6,3,7,4,9,5,10,8,12,11] => [1,2,2,2,2,2,1]
[2,1,6,3,7,4,9,5,11,8,12,10] => [1,2,2,2,2,2,1]
[2,1,6,3,7,4,10,5,11,8,12,9] => [1,2,2,2,2,2,1]
[2,1,6,3,8,4,9,5,10,7,12,11] => [1,2,2,2,2,2,1]
[2,1,6,3,8,4,9,5,11,7,12,10] => [1,2,2,2,2,2,1]
[2,1,6,3,8,4,10,5,11,7,12,9] => [1,2,2,2,2,2,1]
[2,1,6,3,9,4,10,5,11,7,12,8] => [1,2,2,2,2,2,1]
[2,1,7,3,8,4,9,5,10,6,12,11] => [1,2,2,2,2,2,1]
[2,1,7,3,8,4,9,5,11,6,12,10] => [1,2,2,2,2,2,1]
[2,1,7,3,8,4,10,5,11,6,12,9] => [1,2,2,2,2,2,1]
[2,1,7,3,9,4,10,5,11,6,12,8] => [1,2,2,2,2,2,1]
[2,1,8,3,9,4,10,5,11,6,12,7] => [1,2,2,2,2,2,1]
[3,1,4,2,6,5,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[3,1,4,2,6,5,8,7,11,9,12,10] => [1,2,2,2,2,2,1]
[3,1,4,2,6,5,9,7,10,8,12,11] => [1,2,2,2,2,2,1]
[3,1,4,2,6,5,9,7,11,8,12,10] => [1,2,2,2,2,2,1]
[3,1,4,2,6,5,10,7,11,8,12,9] => [1,2,2,2,2,2,1]
[3,1,4,2,7,5,8,6,10,9,12,11] => [1,2,2,2,2,2,1]
[3,1,4,2,7,5,8,6,11,9,12,10] => [1,2,2,2,2,2,1]
[3,1,4,2,7,5,9,6,10,8,12,11] => [1,2,2,2,2,2,1]
[3,1,4,2,7,5,9,6,11,8,12,10] => [1,2,2,2,2,2,1]
[3,1,4,2,7,5,10,6,11,8,12,9] => [1,2,2,2,2,2,1]
[3,1,4,2,8,5,9,6,10,7,12,11] => [1,2,2,2,2,2,1]
[3,1,4,2,8,5,9,6,11,7,12,10] => [1,2,2,2,2,2,1]
[3,1,4,2,8,5,10,6,11,7,12,9] => [1,2,2,2,2,2,1]
[3,1,4,2,9,5,10,6,11,7,12,8] => [1,2,2,2,2,2,1]
[3,1,5,2,6,4,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[3,1,5,2,6,4,8,7,11,9,12,10] => [1,2,2,2,2,2,1]
[3,1,5,2,6,4,9,7,10,8,12,11] => [1,2,2,2,2,2,1]
[3,1,5,2,6,4,9,7,11,8,12,10] => [1,2,2,2,2,2,1]
[3,1,5,2,6,4,10,7,11,8,12,9] => [1,2,2,2,2,2,1]
[3,1,5,2,7,4,8,6,10,9,12,11] => [1,2,2,2,2,2,1]
[3,1,5,2,7,4,8,6,11,9,12,10] => [1,2,2,2,2,2,1]
[3,1,5,2,7,4,9,6,10,8,12,11] => [1,2,2,2,2,2,1]
[3,1,5,2,7,4,9,6,11,8,12,10] => [1,2,2,2,2,2,1]
[3,1,5,2,7,4,10,6,11,8,12,9] => [1,2,2,2,2,2,1]
[3,1,5,2,8,4,9,6,10,7,12,11] => [1,2,2,2,2,2,1]
[3,1,5,2,8,4,9,6,11,7,12,10] => [1,2,2,2,2,2,1]
[3,1,5,2,8,4,10,6,11,7,12,9] => [1,2,2,2,2,2,1]
[3,1,5,2,9,4,10,6,11,7,12,8] => [1,2,2,2,2,2,1]
[3,1,6,2,7,4,8,5,10,9,12,11] => [1,2,2,2,2,2,1]
[3,1,6,2,7,4,8,5,11,9,12,10] => [1,2,2,2,2,2,1]
[3,1,6,2,7,4,9,5,10,8,12,11] => [1,2,2,2,2,2,1]
[3,1,6,2,7,4,9,5,11,8,12,10] => [1,2,2,2,2,2,1]
[3,1,6,2,7,4,10,5,11,8,12,9] => [1,2,2,2,2,2,1]
[3,1,6,2,8,4,9,5,10,7,12,11] => [1,2,2,2,2,2,1]
[3,1,6,2,8,4,9,5,11,7,12,10] => [1,2,2,2,2,2,1]
[3,1,6,2,8,4,10,5,11,7,12,9] => [1,2,2,2,2,2,1]
[3,1,6,2,9,4,10,5,11,7,12,8] => [1,2,2,2,2,2,1]
[3,1,7,2,8,4,9,5,10,6,12,11] => [1,2,2,2,2,2,1]
[3,1,7,2,8,4,9,5,11,6,12,10] => [1,2,2,2,2,2,1]
[3,1,7,2,8,4,10,5,11,6,12,9] => [1,2,2,2,2,2,1]
[3,1,7,2,9,4,10,5,11,6,12,8] => [1,2,2,2,2,2,1]
[3,1,8,2,9,4,10,5,11,6,12,7] => [1,2,2,2,2,2,1]
[4,1,5,2,6,3,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[4,1,5,2,6,3,8,7,11,9,12,10] => [1,2,2,2,2,2,1]
[4,1,5,2,6,3,9,7,10,8,12,11] => [1,2,2,2,2,2,1]
[4,1,5,2,6,3,9,7,11,8,12,10] => [1,2,2,2,2,2,1]
[4,1,5,2,6,3,10,7,11,8,12,9] => [1,2,2,2,2,2,1]
[4,1,5,2,7,3,8,6,10,9,12,11] => [1,2,2,2,2,2,1]
[4,1,5,2,7,3,8,6,11,9,12,10] => [1,2,2,2,2,2,1]
[4,1,5,2,7,3,9,6,10,8,12,11] => [1,2,2,2,2,2,1]
[4,1,5,2,7,3,9,6,11,8,12,10] => [1,2,2,2,2,2,1]
[4,1,5,2,7,3,10,6,11,8,12,9] => [1,2,2,2,2,2,1]
[4,1,5,2,8,3,9,6,10,7,12,11] => [1,2,2,2,2,2,1]
[4,1,5,2,8,3,9,6,11,7,12,10] => [1,2,2,2,2,2,1]
[4,1,5,2,8,3,10,6,11,7,12,9] => [1,2,2,2,2,2,1]
[4,1,5,2,9,3,10,6,11,7,12,8] => [1,2,2,2,2,2,1]
[4,1,6,2,7,3,8,5,10,9,12,11] => [1,2,2,2,2,2,1]
[4,1,6,2,7,3,8,5,11,9,12,10] => [1,2,2,2,2,2,1]
[4,1,6,2,7,3,9,5,10,8,12,11] => [1,2,2,2,2,2,1]
[4,1,6,2,7,3,9,5,11,8,12,10] => [1,2,2,2,2,2,1]
[4,1,6,2,7,3,10,5,11,8,12,9] => [1,2,2,2,2,2,1]
[4,1,6,2,8,3,9,5,10,7,12,11] => [1,2,2,2,2,2,1]
[4,1,6,2,8,3,9,5,11,7,12,10] => [1,2,2,2,2,2,1]
[4,1,6,2,8,3,10,5,11,7,12,9] => [1,2,2,2,2,2,1]
[4,1,6,2,9,3,10,5,11,7,12,8] => [1,2,2,2,2,2,1]
[4,1,7,2,8,3,9,5,10,6,12,11] => [1,2,2,2,2,2,1]
[4,1,7,2,8,3,9,5,11,6,12,10] => [1,2,2,2,2,2,1]
[4,1,7,2,8,3,10,5,11,6,12,9] => [1,2,2,2,2,2,1]
[4,1,7,2,9,3,10,5,11,6,12,8] => [1,2,2,2,2,2,1]
[4,1,8,2,9,3,10,5,11,6,12,7] => [1,2,2,2,2,2,1]
[5,1,6,2,7,3,8,4,10,9,12,11] => [1,2,2,2,2,2,1]
[5,1,6,2,7,3,8,4,11,9,12,10] => [1,2,2,2,2,2,1]
[5,1,6,2,7,3,9,4,10,8,12,11] => [1,2,2,2,2,2,1]
[5,1,6,2,7,3,9,4,11,8,12,10] => [1,2,2,2,2,2,1]
[5,1,6,2,7,3,10,4,11,8,12,9] => [1,2,2,2,2,2,1]
[5,1,6,2,8,3,9,4,10,7,12,11] => [1,2,2,2,2,2,1]
[5,1,6,2,8,3,9,4,11,7,12,10] => [1,2,2,2,2,2,1]
[5,1,6,2,8,3,10,4,11,7,12,9] => [1,2,2,2,2,2,1]
[5,1,6,2,9,3,10,4,11,7,12,8] => [1,2,2,2,2,2,1]
[5,1,7,2,8,3,9,4,10,6,12,11] => [1,2,2,2,2,2,1]
[5,1,7,2,8,3,9,4,11,6,12,10] => [1,2,2,2,2,2,1]
[5,1,7,2,8,3,10,4,11,6,12,9] => [1,2,2,2,2,2,1]
[5,1,7,2,9,3,10,4,11,6,12,8] => [1,2,2,2,2,2,1]
[5,1,8,2,9,3,10,4,11,6,12,7] => [1,2,2,2,2,2,1]
[6,1,7,2,8,3,9,4,10,5,12,11] => [1,2,2,2,2,2,1]
[6,1,7,2,8,3,9,4,11,5,12,10] => [1,2,2,2,2,2,1]
[6,1,7,2,8,3,10,4,11,5,12,9] => [1,2,2,2,2,2,1]
[6,1,7,2,9,3,10,4,11,5,12,8] => [1,2,2,2,2,2,1]
[6,1,8,2,9,3,10,4,11,5,12,7] => [1,2,2,2,2,2,1]
[3,1,12,11,10,9,8,7,6,5,4,2] => [1,2,1,1,1,1,1,1,1,1,1]
[2,3,4,5,6,7,8,9,11,1,12,10] => [9,2,1]
[1,8,2,9,3,10,4,11,5,12,6,7] => [2,2,2,2,2,2]
[1,8,2,9,3,10,4,11,12,5,6,7] => [2,2,2,3,3]
[1,8,2,9,3,10,11,4,5,12,6,7] => [2,2,3,3,2]
[1,8,2,9,3,10,11,4,12,5,6,7] => [2,2,3,2,3]
[1,8,2,9,3,10,11,12,4,5,6,7] => [2,2,4,4]
[1,8,2,9,10,3,4,11,5,12,6,7] => [2,3,3,2,2]
[1,8,2,9,10,3,4,11,12,5,6,7] => [2,3,4,3]
[1,8,2,9,10,3,11,4,5,12,6,7] => [2,3,2,3,2]
[1,8,2,9,10,3,11,4,12,5,6,7] => [2,3,2,2,3]
[1,8,2,9,10,3,11,12,4,5,6,7] => [2,3,3,4]
[1,8,2,9,10,11,3,4,5,12,6,7] => [2,4,4,2]
[1,8,2,9,10,11,3,4,12,5,6,7] => [2,4,3,3]
[1,8,2,9,10,11,3,12,4,5,6,7] => [2,4,2,4]
[1,8,2,9,10,11,12,3,4,5,6,7] => [2,5,5]
[1,8,9,2,3,10,4,11,5,12,6,7] => [3,3,2,2,2]
[1,8,9,2,3,10,4,11,12,5,6,7] => [3,3,3,3]
[1,8,9,2,3,10,11,4,5,12,6,7] => [3,4,3,2]
[1,8,9,2,3,10,11,4,12,5,6,7] => [3,4,2,3]
[1,8,9,2,3,10,11,12,4,5,6,7] => [3,5,4]
[1,8,9,2,10,3,4,11,5,12,6,7] => [3,2,3,2,2]
[1,8,9,2,10,3,4,11,12,5,6,7] => [3,2,4,3]
[1,8,9,2,10,3,11,4,5,12,6,7] => [3,2,2,3,2]
[1,8,9,2,10,3,11,4,12,5,6,7] => [3,2,2,2,3]
[1,8,9,2,10,3,11,12,4,5,6,7] => [3,2,3,4]
[1,8,9,2,10,11,3,4,5,12,6,7] => [3,3,4,2]
[1,8,9,2,10,11,3,4,12,5,6,7] => [3,3,3,3]
[1,8,9,2,10,11,3,12,4,5,6,7] => [3,3,2,4]
[1,8,9,2,10,11,12,3,4,5,6,7] => [3,4,5]
[1,8,9,10,2,3,4,11,5,12,6,7] => [4,4,2,2]
[1,8,9,10,2,3,4,11,12,5,6,7] => [4,5,3]
[1,8,9,10,2,3,11,4,5,12,6,7] => [4,3,3,2]
[1,8,9,10,2,3,11,4,12,5,6,7] => [4,3,2,3]
[1,8,9,10,2,3,11,12,4,5,6,7] => [4,4,4]
[1,8,9,10,2,11,3,4,5,12,6,7] => [4,2,4,2]
[1,8,9,10,2,11,3,4,12,5,6,7] => [4,2,3,3]
[1,8,9,10,2,11,3,12,4,5,6,7] => [4,2,2,4]
[1,8,9,10,2,11,12,3,4,5,6,7] => [4,3,5]
[1,8,9,10,11,2,3,4,5,12,6,7] => [5,5,2]
[1,8,9,10,11,2,3,4,12,5,6,7] => [5,4,3]
[1,8,9,10,11,2,3,12,4,5,6,7] => [5,3,4]
[1,8,9,10,11,2,12,3,4,5,6,7] => [5,2,5]
[1,8,9,10,11,12,2,3,4,5,6,7] => [6,6]
[8,1,2,9,3,10,4,11,5,12,6,7] => [1,3,2,2,2,2]
[8,1,2,9,3,10,4,11,12,5,6,7] => [1,3,2,3,3]
[8,1,2,9,3,10,11,4,5,12,6,7] => [1,3,3,3,2]
[8,1,2,9,3,10,11,4,12,5,6,7] => [1,3,3,2,3]
[8,1,2,9,3,10,11,12,4,5,6,7] => [1,3,4,4]
[8,1,2,9,10,3,4,11,5,12,6,7] => [1,4,3,2,2]
[8,1,2,9,10,3,4,11,12,5,6,7] => [1,4,4,3]
[8,1,2,9,10,3,11,4,5,12,6,7] => [1,4,2,3,2]
[8,1,2,9,10,3,11,4,12,5,6,7] => [1,4,2,2,3]
[8,1,2,9,10,3,11,12,4,5,6,7] => [1,4,3,4]
[8,1,2,9,10,11,3,4,5,12,6,7] => [1,5,4,2]
[8,1,2,9,10,11,3,4,12,5,6,7] => [1,5,3,3]
[8,1,2,9,10,11,3,12,4,5,6,7] => [1,5,2,4]
[8,1,2,9,10,11,12,3,4,5,6,7] => [1,6,5]
[8,1,9,2,3,10,4,11,5,12,6,7] => [1,2,3,2,2,2]
[8,1,9,2,3,10,4,11,12,5,6,7] => [1,2,3,3,3]
[8,1,9,2,3,10,11,4,5,12,6,7] => [1,2,4,3,2]
[8,1,9,2,3,10,11,4,12,5,6,7] => [1,2,4,2,3]
[8,1,9,2,3,10,11,12,4,5,6,7] => [1,2,5,4]
[8,1,9,2,10,3,4,11,5,12,6,7] => [1,2,2,3,2,2]
[8,1,9,2,10,3,4,11,12,5,6,7] => [1,2,2,4,3]
[8,1,9,2,10,3,11,4,5,12,6,7] => [1,2,2,2,3,2]
[8,1,9,2,10,3,11,4,12,5,6,7] => [1,2,2,2,2,3]
[8,1,9,2,10,3,11,12,4,5,6,7] => [1,2,2,3,4]
[8,1,9,2,10,11,3,4,5,12,6,7] => [1,2,3,4,2]
[8,1,9,2,10,11,3,4,12,5,6,7] => [1,2,3,3,3]
[8,1,9,2,10,11,3,12,4,5,6,7] => [1,2,3,2,4]
[8,1,9,2,10,11,12,3,4,5,6,7] => [1,2,4,5]
[8,1,9,10,2,3,4,11,5,12,6,7] => [1,3,4,2,2]
[8,1,9,10,2,3,4,11,12,5,6,7] => [1,3,5,3]
[8,1,9,10,2,3,11,4,5,12,6,7] => [1,3,3,3,2]
[8,1,9,10,2,3,11,4,12,5,6,7] => [1,3,3,2,3]
[8,1,9,10,2,3,11,12,4,5,6,7] => [1,3,4,4]
[8,1,9,10,2,11,3,4,5,12,6,7] => [1,3,2,4,2]
[8,1,9,10,2,11,3,4,12,5,6,7] => [1,3,2,3,3]
[8,1,9,10,2,11,3,12,4,5,6,7] => [1,3,2,2,4]
[8,1,9,10,2,11,12,3,4,5,6,7] => [1,3,3,5]
[8,1,9,10,11,2,3,4,5,12,6,7] => [1,4,5,2]
[8,1,9,10,11,2,3,4,12,5,6,7] => [1,4,4,3]
[8,1,9,10,11,2,3,12,4,5,6,7] => [1,4,3,4]
[8,1,9,10,11,2,12,3,4,5,6,7] => [1,4,2,5]
[8,1,9,10,11,12,2,3,4,5,6,7] => [1,5,6]
[8,9,1,2,3,10,4,11,5,12,6,7] => [2,4,2,2,2]
[8,9,1,2,3,10,4,11,12,5,6,7] => [2,4,3,3]
[8,9,1,2,3,10,11,4,5,12,6,7] => [2,5,3,2]
[8,9,1,2,3,10,11,4,12,5,6,7] => [2,5,2,3]
[8,9,1,2,3,10,11,12,4,5,6,7] => [2,6,4]
[8,9,1,2,10,3,4,11,5,12,6,7] => [2,3,3,2,2]
[8,9,1,2,10,3,4,11,12,5,6,7] => [2,3,4,3]
[8,9,1,2,10,3,11,4,5,12,6,7] => [2,3,2,3,2]
[8,9,1,2,10,3,11,4,12,5,6,7] => [2,3,2,2,3]
[8,9,1,2,10,3,11,12,4,5,6,7] => [2,3,3,4]
[8,9,1,2,10,11,3,4,5,12,6,7] => [2,4,4,2]
[8,9,1,2,10,11,3,4,12,5,6,7] => [2,4,3,3]
[8,9,1,2,10,11,3,12,4,5,6,7] => [2,4,2,4]
[8,9,1,2,10,11,12,3,4,5,6,7] => [2,5,5]
[8,9,1,10,2,3,4,11,5,12,6,7] => [2,2,4,2,2]
[8,9,1,10,2,3,4,11,12,5,6,7] => [2,2,5,3]
[8,9,1,10,2,3,11,4,5,12,6,7] => [2,2,3,3,2]
[8,9,1,10,2,3,11,4,12,5,6,7] => [2,2,3,2,3]
[8,9,1,10,2,3,11,12,4,5,6,7] => [2,2,4,4]
[8,9,1,10,2,11,3,4,5,12,6,7] => [2,2,2,4,2]
[8,9,1,10,2,11,3,4,12,5,6,7] => [2,2,2,3,3]
[8,9,1,10,2,11,3,12,4,5,6,7] => [2,2,2,2,4]
[8,9,1,10,2,11,12,3,4,5,6,7] => [2,2,3,5]
[8,9,1,10,11,2,3,4,5,12,6,7] => [2,3,5,2]
[8,9,1,10,11,2,3,4,12,5,6,7] => [2,3,4,3]
[8,9,1,10,11,2,3,12,4,5,6,7] => [2,3,3,4]
[8,9,1,10,11,2,12,3,4,5,6,7] => [2,3,2,5]
[8,9,1,10,11,12,2,3,4,5,6,7] => [2,4,6]
[8,9,10,1,2,3,4,11,5,12,6,7] => [3,5,2,2]
[8,9,10,1,2,3,4,11,12,5,6,7] => [3,6,3]
[8,9,10,1,2,3,11,4,5,12,6,7] => [3,4,3,2]
[8,9,10,1,2,3,11,4,12,5,6,7] => [3,4,2,3]
[8,9,10,1,2,3,11,12,4,5,6,7] => [3,5,4]
[8,9,10,1,2,11,3,4,5,12,6,7] => [3,3,4,2]
[8,9,10,1,2,11,3,4,12,5,6,7] => [3,3,3,3]
[8,9,10,1,2,11,3,12,4,5,6,7] => [3,3,2,4]
[8,9,10,1,2,11,12,3,4,5,6,7] => [3,4,5]
[8,9,10,1,11,2,3,4,5,12,6,7] => [3,2,5,2]
[8,9,10,1,11,2,3,4,12,5,6,7] => [3,2,4,3]
[8,9,10,1,11,2,3,12,4,5,6,7] => [3,2,3,4]
[8,9,10,1,11,2,12,3,4,5,6,7] => [3,2,2,5]
[8,9,10,1,11,12,2,3,4,5,6,7] => [3,3,6]
[8,9,10,11,1,2,3,4,5,12,6,7] => [4,6,2]
[8,9,10,11,1,2,3,4,12,5,6,7] => [4,5,3]
[8,9,10,11,1,2,3,12,4,5,6,7] => [4,4,4]
[8,9,10,11,1,2,12,3,4,5,6,7] => [4,3,5]
[8,9,10,11,1,12,2,3,4,5,6,7] => [4,2,6]
[8,9,10,11,12,1,2,3,4,5,6,7] => [5,7]
[12,10,8,6,4,2,1,3,5,7,9,11] => [1,1,1,1,1,1,6]
[11,12,8,6,4,2,1,3,5,7,10,9] => [2,1,1,1,1,5,1]
[12,9,10,6,4,2,1,3,5,8,7,11] => [1,2,1,1,1,4,2]
[11,9,12,6,4,2,1,3,5,8,10,7] => [1,2,1,1,1,5,1]
[10,11,12,6,4,2,1,3,5,9,8,7] => [3,1,1,1,4,1,1]
[12,10,7,8,4,2,1,3,6,5,9,11] => [1,1,2,1,1,3,3]
[11,12,7,8,4,2,1,3,6,5,10,9] => [2,2,1,1,3,2,1]
[12,9,7,10,4,2,1,3,6,8,5,11] => [1,1,2,1,1,4,2]
[11,9,7,12,4,2,1,3,6,8,10,5] => [1,1,2,1,1,5,1]
[10,11,7,12,4,2,1,3,6,9,8,5] => [2,2,1,1,4,1,1]
[12,8,9,10,4,2,1,3,7,6,5,11] => [1,3,1,1,3,1,2]
[11,8,9,12,4,2,1,3,7,6,10,5] => [1,3,1,1,3,2,1]
[10,8,11,12,4,2,1,3,7,9,6,5] => [1,3,1,1,4,1,1]
[9,10,11,12,4,2,1,3,8,7,6,5] => [4,1,1,3,1,1,1]
[12,10,8,5,6,2,1,4,3,7,9,11] => [1,1,1,2,1,2,4]
[11,12,8,5,6,2,1,4,3,7,10,9] => [2,1,2,1,2,3,1]
[12,9,10,5,6,2,1,4,3,8,7,11] => [1,2,2,1,2,2,2]
[11,9,12,5,6,2,1,4,3,8,10,7] => [1,2,2,1,2,3,1]
[10,11,12,5,6,2,1,4,3,9,8,7] => [3,2,1,2,2,1,1]
[12,10,7,5,8,2,1,4,6,3,9,11] => [1,1,1,2,1,3,3]
[11,12,7,5,8,2,1,4,6,3,10,9] => [2,1,2,1,3,2,1]
[12,9,7,5,10,2,1,4,6,8,3,11] => [1,1,1,2,1,4,2]
[11,9,7,5,12,2,1,4,6,8,10,3] => [1,1,1,2,1,5,1]
[10,11,7,5,12,2,1,4,6,9,8,3] => [2,1,2,1,4,1,1]
[12,8,9,5,10,2,1,4,7,6,3,11] => [1,2,2,1,3,1,2]
[11,8,9,5,12,2,1,4,7,6,10,3] => [1,2,2,1,3,2,1]
[10,8,11,5,12,2,1,4,7,9,6,3] => [1,2,2,1,4,1,1]
[9,10,11,5,12,2,1,4,8,7,6,3] => [3,2,1,3,1,1,1]
[12,10,6,7,8,2,1,5,4,3,9,11] => [1,1,3,1,2,1,3]
[11,12,6,7,8,2,1,5,4,3,10,9] => [2,3,1,2,1,2,1]
[12,9,6,7,10,2,1,5,4,8,3,11] => [1,1,3,1,2,2,2]
[11,9,6,7,12,2,1,5,4,8,10,3] => [1,1,3,1,2,3,1]
[10,11,6,7,12,2,1,5,4,9,8,3] => [2,3,1,2,2,1,1]
[12,8,6,9,10,2,1,5,7,4,3,11] => [1,1,3,1,3,1,2]
[11,8,6,9,12,2,1,5,7,4,10,3] => [1,1,3,1,3,2,1]
[10,8,6,11,12,2,1,5,7,9,4,3] => [1,1,3,1,4,1,1]
[9,10,6,11,12,2,1,5,8,7,4,3] => [2,3,1,3,1,1,1]
[12,7,8,9,10,2,1,6,5,4,3,11] => [1,4,1,2,1,1,2]
[11,7,8,9,12,2,1,6,5,4,10,3] => [1,4,1,2,1,2,1]
[10,7,8,11,12,2,1,6,5,9,4,3] => [1,4,1,2,2,1,1]
[9,7,10,11,12,2,1,6,8,5,4,3] => [1,4,1,3,1,1,1]
[8,9,10,11,12,2,1,7,6,5,4,3] => [5,1,2,1,1,1,1]
[12,10,8,6,3,4,2,1,5,7,9,11] => [1,1,1,1,2,1,5]
[11,12,8,6,3,4,2,1,5,7,10,9] => [2,1,1,2,1,4,1]
[12,9,10,6,3,4,2,1,5,8,7,11] => [1,2,1,2,1,3,2]
[11,9,12,6,3,4,2,1,5,8,10,7] => [1,2,1,2,1,4,1]
[10,11,12,6,3,4,2,1,5,9,8,7] => [3,1,2,1,3,1,1]
[12,10,7,8,3,4,2,1,6,5,9,11] => [1,1,2,2,1,2,3]
[11,12,7,8,3,4,2,1,6,5,10,9] => [2,2,2,1,2,2,1]
[12,9,7,10,3,4,2,1,6,8,5,11] => [1,1,2,2,1,3,2]
[11,9,7,12,3,4,2,1,6,8,10,5] => [1,1,2,2,1,4,1]
[10,11,7,12,3,4,2,1,6,9,8,5] => [2,2,2,1,3,1,1]
[12,8,9,10,3,4,2,1,7,6,5,11] => [1,3,2,1,2,1,2]
[11,8,9,12,3,4,2,1,7,6,10,5] => [1,3,2,1,2,2,1]
[10,8,11,12,3,4,2,1,7,9,6,5] => [1,3,2,1,3,1,1]
[9,10,11,12,3,4,2,1,8,7,6,5] => [4,2,1,2,1,1,1]
[12,10,8,5,3,6,2,4,1,7,9,11] => [1,1,1,1,2,2,4]
[11,12,8,5,3,6,2,4,1,7,10,9] => [2,1,1,2,2,3,1]
[12,9,10,5,3,6,2,4,1,8,7,11] => [1,2,1,2,2,2,2]
[11,9,12,5,3,6,2,4,1,8,10,7] => [1,2,1,2,2,3,1]
[10,11,12,5,3,6,2,4,1,9,8,7] => [3,1,2,2,2,1,1]
[12,10,7,5,3,8,2,4,6,1,9,11] => [1,1,1,1,2,3,3]
[11,12,7,5,3,8,2,4,6,1,10,9] => [2,1,1,2,3,2,1]
[12,9,7,5,3,10,2,4,6,8,1,11] => [1,1,1,1,2,4,2]
[11,9,7,5,3,12,2,4,6,8,10,1] => [1,1,1,1,2,5,1]
[10,11,7,5,3,12,2,4,6,9,8,1] => [2,1,1,2,4,1,1]
[12,8,9,5,3,10,2,4,7,6,1,11] => [1,2,1,2,3,1,2]
[11,8,9,5,3,12,2,4,7,6,10,1] => [1,2,1,2,3,2,1]
[10,8,11,5,3,12,2,4,7,9,6,1] => [1,2,1,2,4,1,1]
[9,10,11,5,3,12,2,4,8,7,6,1] => [3,1,2,3,1,1,1]
[12,10,6,7,3,8,2,5,4,1,9,11] => [1,1,2,2,2,1,3]
[11,12,6,7,3,8,2,5,4,1,10,9] => [2,2,2,2,1,2,1]
[12,9,6,7,3,10,2,5,4,8,1,11] => [1,1,2,2,2,2,2]
[11,9,6,7,3,12,2,5,4,8,10,1] => [1,1,2,2,2,3,1]
[10,11,6,7,3,12,2,5,4,9,8,1] => [2,2,2,2,2,1,1]
[12,8,6,9,3,10,2,5,7,4,1,11] => [1,1,2,2,3,1,2]
[11,8,6,9,3,12,2,5,7,4,10,1] => [1,1,2,2,3,2,1]
[10,8,6,11,3,12,2,5,7,9,4,1] => [1,1,2,2,4,1,1]
[9,10,6,11,3,12,2,5,8,7,4,1] => [2,2,2,3,1,1,1]
[12,7,8,9,3,10,2,6,5,4,1,11] => [1,3,2,2,1,1,2]
[11,7,8,9,3,12,2,6,5,4,10,1] => [1,3,2,2,1,2,1]
[10,7,8,11,3,12,2,6,5,9,4,1] => [1,3,2,2,2,1,1]
[9,7,10,11,3,12,2,6,8,5,4,1] => [1,3,2,3,1,1,1]
[8,9,10,11,3,12,2,7,6,5,4,1] => [4,2,2,1,1,1,1]
[12,10,8,4,5,6,3,2,1,7,9,11] => [1,1,1,3,1,1,4]
[11,12,8,4,5,6,3,2,1,7,10,9] => [2,1,3,1,1,3,1]
[12,9,10,4,5,6,3,2,1,8,7,11] => [1,2,3,1,1,2,2]
[11,9,12,4,5,6,3,2,1,8,10,7] => [1,2,3,1,1,3,1]
[10,11,12,4,5,6,3,2,1,9,8,7] => [3,3,1,1,2,1,1]
[12,10,7,4,5,8,3,2,6,1,9,11] => [1,1,1,3,1,2,3]
[11,12,7,4,5,8,3,2,6,1,10,9] => [2,1,3,1,2,2,1]
[12,9,7,4,5,10,3,2,6,8,1,11] => [1,1,1,3,1,3,2]
[11,9,7,4,5,12,3,2,6,8,10,1] => [1,1,1,3,1,4,1]
[10,11,7,4,5,12,3,2,6,9,8,1] => [2,1,3,1,3,1,1]
[12,8,9,4,5,10,3,2,7,6,1,11] => [1,2,3,1,2,1,2]
[11,8,9,4,5,12,3,2,7,6,10,1] => [1,2,3,1,2,2,1]
[10,8,11,4,5,12,3,2,7,9,6,1] => [1,2,3,1,3,1,1]
[9,10,11,4,5,12,3,2,8,7,6,1] => [3,3,1,2,1,1,1]
[12,10,6,4,7,8,3,5,2,1,9,11] => [1,1,1,3,2,1,3]
[11,12,6,4,7,8,3,5,2,1,10,9] => [2,1,3,2,1,2,1]
[12,9,6,4,7,10,3,5,2,8,1,11] => [1,1,1,3,2,2,2]
[11,9,6,4,7,12,3,5,2,8,10,1] => [1,1,1,3,2,3,1]
[10,11,6,4,7,12,3,5,2,9,8,1] => [2,1,3,2,2,1,1]
[12,8,6,4,9,10,3,5,7,2,1,11] => [1,1,1,3,3,1,2]
[11,8,6,4,9,12,3,5,7,2,10,1] => [1,1,1,3,3,2,1]
[10,8,6,4,11,12,3,5,7,9,2,1] => [1,1,1,3,4,1,1]
[9,10,6,4,11,12,3,5,8,7,2,1] => [2,1,3,3,1,1,1]
[12,7,8,4,9,10,3,6,5,2,1,11] => [1,2,3,2,1,1,2]
[11,7,8,4,9,12,3,6,5,2,10,1] => [1,2,3,2,1,2,1]
[10,7,8,4,11,12,3,6,5,9,2,1] => [1,2,3,2,2,1,1]
[9,7,10,4,11,12,3,6,8,5,2,1] => [1,2,3,3,1,1,1]
[8,9,10,4,11,12,3,7,6,5,2,1] => [3,3,2,1,1,1,1]
[12,10,5,6,7,8,4,3,2,1,9,11] => [1,1,4,1,1,1,3]
[11,12,5,6,7,8,4,3,2,1,10,9] => [2,4,1,1,1,2,1]
[12,9,5,6,7,10,4,3,2,8,1,11] => [1,1,4,1,1,2,2]
[11,9,5,6,7,12,4,3,2,8,10,1] => [1,1,4,1,1,3,1]
[10,11,5,6,7,12,4,3,2,9,8,1] => [2,4,1,1,2,1,1]
[12,8,5,6,9,10,4,3,7,2,1,11] => [1,1,4,1,2,1,2]
[11,8,5,6,9,12,4,3,7,2,10,1] => [1,1,4,1,2,2,1]
[10,8,5,6,11,12,4,3,7,9,2,1] => [1,1,4,1,3,1,1]
[9,10,5,6,11,12,4,3,8,7,2,1] => [2,4,1,2,1,1,1]
[12,7,5,8,9,10,4,6,3,2,1,11] => [1,1,4,2,1,1,2]
[11,7,5,8,9,12,4,6,3,2,10,1] => [1,1,4,2,1,2,1]
[10,7,5,8,11,12,4,6,3,9,2,1] => [1,1,4,2,2,1,1]
[9,7,5,10,11,12,4,6,8,3,2,1] => [1,1,4,3,1,1,1]
[8,9,5,10,11,12,4,7,6,3,2,1] => [2,4,2,1,1,1,1]
[12,6,7,8,9,10,5,4,3,2,1,11] => [1,5,1,1,1,1,2]
[11,6,7,8,9,12,5,4,3,2,10,1] => [1,5,1,1,1,2,1]
[10,6,7,8,11,12,5,4,3,9,2,1] => [1,5,1,1,2,1,1]
[9,6,7,10,11,12,5,4,8,3,2,1] => [1,5,1,2,1,1,1]
[8,6,9,10,11,12,5,7,4,3,2,1] => [1,5,2,1,1,1,1]
[2,3,4,5,6,7,8,9,12,11,1,10] => [9,1,2]
[4,3,1,5,6,7,8,9,10,11,12,2] => [1,1,9,1]
[12,3,4,5,6,7,8,9,11,1,2,10] => [1,8,3]
[12,4,1,5,6,7,8,9,10,11,2,3] => [1,1,8,2]
[12,11,10,8,6,4,2,1,3,5,7,9] => [1,1,1,1,1,1,1,5]
[12,10,9,8,6,4,2,1,3,5,7,11] => [1,1,1,1,1,1,1,5]
[12,9,11,8,6,4,2,1,3,5,10,7] => [1,2,1,1,1,1,4,1]
[12,11,10,9,8,6,4,2,1,3,5,7] => [1,1,1,1,1,1,1,1,4]
[12,10,8,7,6,4,2,1,3,5,9,11] => [1,1,1,1,1,1,1,5]
[12,11,10,8,7,6,4,2,1,3,5,9] => [1,1,1,1,1,1,1,1,4]
[12,10,7,9,6,4,2,1,3,8,5,11] => [1,1,2,1,1,1,3,2]
[12,7,11,9,6,4,2,1,3,8,10,5] => [1,2,1,1,1,1,4,1]
[12,11,10,7,9,6,4,2,1,3,8,5] => [1,1,1,2,1,1,1,3,1]
[12,10,9,8,7,6,4,2,1,3,5,11] => [1,1,1,1,1,1,1,1,4]
[12,9,11,8,7,6,4,2,1,3,10,5] => [1,2,1,1,1,1,1,3,1]
[12,8,11,10,7,9,4,2,1,3,6,5] => [1,2,1,2,1,1,3,1]
[12,11,10,9,8,7,6,4,2,1,3,5] => [1,1,1,1,1,1,1,1,1,3]
[12,10,8,6,5,4,2,1,3,7,9,11] => [1,1,1,1,1,1,1,5]
[12,11,10,8,6,5,4,2,1,3,7,9] => [1,1,1,1,1,1,1,1,4]
[12,10,9,8,6,5,4,2,1,3,7,11] => [1,1,1,1,1,1,1,1,4]
[12,9,11,8,6,5,4,2,1,3,10,7] => [1,2,1,1,1,1,1,3,1]
[12,11,10,9,8,6,5,4,2,1,3,7] => [1,1,1,1,1,1,1,1,1,3]
[12,10,8,5,7,4,2,1,6,3,9,11] => [1,1,1,2,1,1,2,3]
[12,11,10,8,5,7,4,2,1,6,3,9] => [1,1,1,1,2,1,1,2,2]
[12,10,5,9,7,4,2,1,6,8,3,11] => [1,1,2,1,1,1,3,2]
[12,5,11,9,7,4,2,1,6,8,10,3] => [1,2,1,1,1,1,4,1]
[12,11,10,5,9,7,4,2,1,6,8,3] => [1,1,1,2,1,1,1,3,1]
[12,10,9,8,5,7,4,2,1,6,3,11] => [1,1,1,1,2,1,1,2,2]
[12,9,11,8,5,7,4,2,1,6,10,3] => [1,2,1,2,1,1,3,1]
[12,11,5,10,8,7,4,2,1,9,6,3] => [1,1,2,1,1,1,1,2,1,1]
[12,11,10,9,8,5,7,4,2,1,6,3] => [1,1,1,1,1,2,1,1,2,1]
[12,10,8,7,6,5,4,2,1,3,9,11] => [1,1,1,1,1,1,1,1,4]
[12,11,10,8,7,6,5,4,2,1,3,9] => [1,1,1,1,1,1,1,1,1,3]
[12,10,7,9,6,5,4,2,1,8,3,11] => [1,1,2,1,1,1,1,2,2]
[12,7,11,9,6,5,4,2,1,8,10,3] => [1,2,1,1,1,1,1,3,1]
[12,11,10,7,9,6,5,4,2,1,8,3] => [1,1,1,2,1,1,1,1,2,1]
[12,10,6,9,8,5,7,2,1,4,3,11] => [1,1,2,1,2,1,2,2]
[12,6,11,9,8,5,7,2,1,4,10,3] => [1,2,1,1,2,1,3,1]
[12,6,11,8,10,5,7,2,1,9,4,3] => [1,2,2,2,1,2,1,1]
[12,11,10,6,9,8,5,7,2,1,4,3] => [1,1,1,2,1,2,1,2,1]
[12,10,9,8,7,6,5,4,2,1,3,11] => [1,1,1,1,1,1,1,1,1,3]
[12,9,11,8,7,6,5,4,2,1,10,3] => [1,2,1,1,1,1,1,1,2,1]
[12,8,11,10,7,6,5,9,2,1,4,3] => [1,2,1,1,1,2,1,2,1]
[12,7,11,10,9,6,8,5,2,1,4,3] => [1,2,1,1,2,1,1,2,1]
[12,11,10,9,8,7,6,5,4,2,1,3] => [1,1,1,1,1,1,1,1,1,1,2]
[12,10,8,6,4,3,2,1,5,7,9,11] => [1,1,1,1,1,1,1,5]
[12,11,10,8,6,4,3,2,1,5,7,9] => [1,1,1,1,1,1,1,1,4]
[12,10,9,8,6,4,3,2,1,5,7,11] => [1,1,1,1,1,1,1,1,4]
[12,9,11,8,6,4,3,2,1,5,10,7] => [1,2,1,1,1,1,1,3,1]
[12,11,10,9,8,6,4,3,2,1,5,7] => [1,1,1,1,1,1,1,1,1,3]
[12,10,8,7,6,4,3,2,1,5,9,11] => [1,1,1,1,1,1,1,1,4]
[12,11,10,8,7,6,4,3,2,1,5,9] => [1,1,1,1,1,1,1,1,1,3]
[12,10,7,9,6,4,3,2,1,8,5,11] => [1,1,2,1,1,1,1,2,2]
[12,7,11,9,6,4,3,2,1,8,10,5] => [1,2,1,1,1,1,1,3,1]
[12,11,10,7,9,6,4,3,2,1,8,5] => [1,1,1,2,1,1,1,1,2,1]
[12,10,9,8,7,6,4,3,2,1,5,11] => [1,1,1,1,1,1,1,1,1,3]
[12,9,11,8,7,6,4,3,2,1,10,5] => [1,2,1,1,1,1,1,1,2,1]
[12,8,11,10,7,9,4,3,2,1,6,5] => [1,2,1,2,1,1,1,2,1]
[12,11,10,9,8,7,6,4,3,2,1,5] => [1,1,1,1,1,1,1,1,1,1,2]
[12,10,8,6,3,5,2,4,1,7,9,11] => [1,1,1,1,2,2,4]
[12,11,10,8,6,3,5,2,4,1,7,9] => [1,1,1,1,1,2,2,3]
[12,10,9,8,6,3,5,2,4,1,7,11] => [1,1,1,1,1,2,2,3]
[12,9,11,8,6,3,5,2,4,1,10,7] => [1,2,1,1,2,2,2,1]
[12,11,10,9,8,6,3,5,2,4,1,7] => [1,1,1,1,1,1,2,2,2]
[12,10,8,3,7,5,2,4,6,1,9,11] => [1,1,1,2,1,3,3]
[12,11,10,8,3,7,5,2,4,6,1,9] => [1,1,1,1,2,1,3,2]
[12,10,3,9,7,5,2,4,6,8,1,11] => [1,1,2,1,1,4,2]
[12,3,11,9,7,5,2,4,6,8,10,1] => [1,2,1,1,1,5,1]
[12,11,10,3,9,7,5,2,4,6,8,1] => [1,1,1,2,1,1,4,1]
[12,10,9,8,3,7,5,2,4,6,1,11] => [1,1,1,1,2,1,3,2]
[12,9,11,8,3,7,5,2,4,6,10,1] => [1,2,1,2,1,4,1]
[12,11,3,10,8,7,5,2,4,9,6,1] => [1,1,2,1,1,1,3,1,1]
[12,11,10,9,8,3,7,5,2,4,6,1] => [1,1,1,1,1,2,1,3,1]
[12,10,8,7,6,3,5,2,4,1,9,11] => [1,1,1,1,1,2,2,3]
[12,11,10,8,7,6,3,5,2,4,1,9] => [1,1,1,1,1,1,2,2,2]
[12,10,7,9,6,3,5,2,4,8,1,11] => [1,1,2,1,2,3,2]
[12,7,11,9,6,3,5,2,4,8,10,1] => [1,2,1,1,2,4,1]
[12,11,10,7,9,6,3,5,2,4,8,1] => [1,1,1,2,1,2,3,1]
[12,10,9,3,8,6,5,2,7,4,1,11] => [1,1,1,2,1,1,2,1,2]
[12,9,11,3,8,6,5,2,7,4,10,1] => [1,2,2,1,1,2,2,1]
[12,11,3,8,10,6,5,2,7,9,4,1] => [1,1,3,1,1,3,1,1]
[12,11,10,9,3,8,6,5,2,7,4,1] => [1,1,1,1,2,1,1,2,1,1]
[12,10,9,8,7,6,3,5,2,4,1,11] => [1,1,1,1,1,1,2,2,2]
[12,9,11,8,7,6,3,5,2,4,10,1] => [1,2,1,1,1,2,3,1]
[12,8,11,10,7,6,3,5,2,9,4,1] => [1,2,1,1,1,2,2,1,1]
[12,11,10,3,9,7,6,8,2,5,4,1] => [1,1,1,2,1,2,2,1,1]
[12,11,10,9,8,7,6,3,5,2,4,1] => [1,1,1,1,1,1,1,2,2,1]
[12,10,8,6,5,4,3,2,1,7,9,11] => [1,1,1,1,1,1,1,1,4]
[12,11,10,8,6,5,4,3,2,1,7,9] => [1,1,1,1,1,1,1,1,1,3]
[12,10,9,8,6,5,4,3,2,1,7,11] => [1,1,1,1,1,1,1,1,1,3]
[12,9,11,8,6,5,4,3,2,1,10,7] => [1,2,1,1,1,1,1,1,2,1]
[12,11,10,9,8,6,5,4,3,2,1,7] => [1,1,1,1,1,1,1,1,1,1,2]
[12,10,8,5,7,4,3,2,6,1,9,11] => [1,1,1,2,1,1,2,3]
[12,11,10,8,5,7,4,3,2,6,1,9] => [1,1,1,1,2,1,1,2,2]
[12,10,5,9,7,4,3,2,6,8,1,11] => [1,1,2,1,1,1,3,2]
[12,5,11,9,7,4,3,2,6,8,10,1] => [1,2,1,1,1,1,4,1]
[12,11,10,5,9,7,4,3,2,6,8,1] => [1,1,1,2,1,1,1,3,1]
[12,10,9,8,5,7,4,3,2,6,1,11] => [1,1,1,1,2,1,1,2,2]
[12,9,11,8,5,7,4,3,2,6,10,1] => [1,2,1,2,1,1,3,1]
[12,11,5,10,8,7,4,3,2,9,6,1] => [1,1,2,1,1,1,1,2,1,1]
[12,11,10,9,8,5,7,4,3,2,6,1] => [1,1,1,1,1,2,1,1,2,1]
[12,10,8,4,7,6,3,5,2,1,9,11] => [1,1,1,2,1,2,1,3]
[12,11,10,8,4,7,6,3,5,2,1,9] => [1,1,1,1,2,1,2,1,2]
[12,10,4,9,7,6,3,5,2,8,1,11] => [1,1,2,1,1,2,2,2]
[12,4,11,9,7,6,3,5,2,8,10,1] => [1,2,1,1,1,2,3,1]
[12,11,10,4,9,7,6,3,5,2,8,1] => [1,1,1,2,1,1,2,2,1]
[12,10,4,9,6,8,3,5,7,2,1,11] => [1,1,2,2,3,1,2]
[12,4,11,9,6,8,3,5,7,2,10,1] => [1,2,1,2,3,2,1]
[12,4,11,6,10,8,3,5,7,9,2,1] => [1,2,2,1,4,1,1]
[12,11,10,4,9,6,8,3,5,7,2,1] => [1,1,1,2,2,3,1,1]
[12,10,9,8,4,7,6,3,5,2,1,11] => [1,1,1,1,2,1,2,1,2]
[12,9,11,8,4,7,6,3,5,2,10,1] => [1,2,1,2,1,2,2,1]
[12,8,11,10,4,7,6,3,5,9,2,1] => [1,2,1,2,1,3,1,1]
[12,11,4,10,7,9,6,3,8,5,2,1] => [1,1,2,2,1,2,1,1,1]
[12,11,10,9,8,4,7,6,3,5,2,1] => [1,1,1,1,1,2,1,2,1,1]
[12,10,8,7,6,5,4,3,2,1,9,11] => [1,1,1,1,1,1,1,1,1,3]
[12,11,10,8,7,6,5,4,3,2,1,9] => [1,1,1,1,1,1,1,1,1,1,2]
[12,10,7,9,6,5,4,3,2,8,1,11] => [1,1,2,1,1,1,1,2,2]
[12,7,11,9,6,5,4,3,2,8,10,1] => [1,2,1,1,1,1,1,3,1]
[12,11,10,7,9,6,5,4,3,2,8,1] => [1,1,1,2,1,1,1,1,2,1]
[12,10,6,9,8,5,4,3,7,2,1,11] => [1,1,2,1,1,1,2,1,2]
[12,6,11,9,8,5,4,3,7,2,10,1] => [1,2,1,1,1,1,2,2,1]
[12,6,11,8,10,5,4,3,7,9,2,1] => [1,2,2,1,1,3,1,1]
[12,11,10,6,9,8,5,4,3,7,2,1] => [1,1,1,2,1,1,1,2,1,1]
[12,10,5,9,8,7,4,6,3,2,1,11] => [1,1,2,1,1,2,1,1,2]
[12,5,11,9,8,7,4,6,3,2,10,1] => [1,2,1,1,1,2,1,2,1]
[12,5,11,8,10,7,4,6,3,9,2,1] => [1,2,2,1,2,2,1,1]
[12,5,11,7,10,9,4,6,8,3,2,1] => [1,2,2,1,3,1,1,1]
[12,11,10,5,9,8,7,4,6,3,2,1] => [1,1,1,2,1,1,2,1,1,1]
[12,9,11,8,7,6,5,4,3,2,10,1] => [1,2,1,1,1,1,1,1,2,1]
[12,8,11,10,7,6,5,4,3,9,2,1] => [1,2,1,1,1,1,1,2,1,1]
[12,7,11,10,9,6,5,4,8,3,2,1] => [1,2,1,1,1,1,2,1,1,1]
[12,6,11,10,9,8,5,7,4,3,2,1] => [1,2,1,1,1,2,1,1,1,1]
[12,2,1,10,4,3,8,6,5,7,9,11] => [1,1,2,1,2,1,4]
[12,2,1,11,4,3,8,6,5,7,9,10] => [1,1,2,1,2,1,4]
[12,2,1,10,4,3,9,6,5,7,8,11] => [1,1,2,1,2,1,4]
[12,2,1,11,4,3,9,6,5,7,8,10] => [1,1,2,1,2,1,4]
[12,2,1,11,4,3,10,6,5,7,8,9] => [1,1,2,1,2,1,4]
[12,2,1,10,4,3,8,5,7,6,9,11] => [1,1,2,1,2,2,3]
[12,2,1,11,4,3,8,5,7,6,9,10] => [1,1,2,1,2,2,3]
[12,2,1,10,4,3,9,5,7,6,8,11] => [1,1,2,1,2,2,3]
[12,2,1,11,4,3,9,5,7,6,8,10] => [1,1,2,1,2,2,3]
[12,2,1,11,4,3,10,5,7,6,8,9] => [1,1,2,1,2,2,3]
[12,2,1,10,4,3,9,5,8,6,7,11] => [1,1,2,1,2,2,3]
[12,2,1,11,4,3,9,5,8,6,7,10] => [1,1,2,1,2,2,3]
[12,2,1,11,4,3,10,5,8,6,7,9] => [1,1,2,1,2,2,3]
[12,2,1,11,4,3,10,5,9,6,7,8] => [1,1,2,1,2,2,3]
[12,2,1,10,3,8,6,5,4,7,9,11] => [1,1,2,2,1,1,4]
[12,2,1,11,3,8,6,5,4,7,9,10] => [1,1,2,2,1,1,4]
[12,2,1,10,3,9,6,5,4,7,8,11] => [1,1,2,2,1,1,4]
[12,2,1,11,3,9,6,5,4,7,8,10] => [1,1,2,2,1,1,4]
[12,2,1,11,3,10,6,5,4,7,8,9] => [1,1,2,2,1,1,4]
[12,2,1,10,3,8,5,4,7,6,9,11] => [1,1,2,2,1,2,3]
[12,2,1,11,3,8,5,4,7,6,9,10] => [1,1,2,2,1,2,3]
[12,2,1,10,3,9,5,4,7,6,8,11] => [1,1,2,2,1,2,3]
[12,2,1,11,3,9,5,4,7,6,8,10] => [1,1,2,2,1,2,3]
[12,2,1,11,3,10,5,4,7,6,8,9] => [1,1,2,2,1,2,3]
[12,2,1,10,3,9,5,4,8,6,7,11] => [1,1,2,2,1,2,3]
[12,2,1,11,3,9,5,4,8,6,7,10] => [1,1,2,2,1,2,3]
[12,2,1,11,3,10,5,4,8,6,7,9] => [1,1,2,2,1,2,3]
[12,2,1,11,3,10,5,4,9,6,7,8] => [1,1,2,2,1,2,3]
[12,2,1,10,3,8,4,7,6,5,9,11] => [1,1,2,2,2,1,3]
[12,2,1,11,3,8,4,7,6,5,9,10] => [1,1,2,2,2,1,3]
[12,2,1,10,3,9,4,7,6,5,8,11] => [1,1,2,2,2,1,3]
[12,2,1,11,3,9,4,7,6,5,8,10] => [1,1,2,2,2,1,3]
[12,2,1,11,3,10,4,7,6,5,8,9] => [1,1,2,2,2,1,3]
[12,2,1,10,3,9,4,8,6,5,7,11] => [1,1,2,2,2,1,3]
[12,2,1,11,3,9,4,8,6,5,7,10] => [1,1,2,2,2,1,3]
[12,2,1,11,3,10,4,8,6,5,7,9] => [1,1,2,2,2,1,3]
[12,2,1,11,3,10,4,9,6,5,7,8] => [1,1,2,2,2,1,3]
[12,2,1,10,3,9,4,8,5,7,6,11] => [1,1,2,2,2,2,2]
[12,2,1,11,3,9,4,8,5,7,6,10] => [1,1,2,2,2,2,2]
[12,2,1,11,3,10,4,8,5,7,6,9] => [1,1,2,2,2,2,2]
[12,2,1,11,3,10,4,9,5,7,6,8] => [1,1,2,2,2,2,2]
[12,2,1,11,3,10,4,9,5,8,6,7] => [1,1,2,2,2,2,2]
[12,1,10,4,3,2,8,6,5,7,9,11] => [1,2,1,1,2,1,4]
[12,1,11,4,3,2,8,6,5,7,9,10] => [1,2,1,1,2,1,4]
[12,1,10,4,3,2,9,6,5,7,8,11] => [1,2,1,1,2,1,4]
[12,1,11,4,3,2,9,6,5,7,8,10] => [1,2,1,1,2,1,4]
[12,1,11,4,3,2,10,6,5,7,8,9] => [1,2,1,1,2,1,4]
[12,1,10,4,3,2,8,5,7,6,9,11] => [1,2,1,1,2,2,3]
[12,1,11,4,3,2,8,5,7,6,9,10] => [1,2,1,1,2,2,3]
[12,1,10,4,3,2,9,5,7,6,8,11] => [1,2,1,1,2,2,3]
[12,1,11,4,3,2,9,5,7,6,8,10] => [1,2,1,1,2,2,3]
[12,1,11,4,3,2,10,5,7,6,8,9] => [1,2,1,1,2,2,3]
[12,1,10,4,3,2,9,5,8,6,7,11] => [1,2,1,1,2,2,3]
[12,1,11,4,3,2,9,5,8,6,7,10] => [1,2,1,1,2,2,3]
[12,1,11,4,3,2,10,5,8,6,7,9] => [1,2,1,1,2,2,3]
[12,1,11,4,3,2,10,5,9,6,7,8] => [1,2,1,1,2,2,3]
[12,1,10,3,2,8,6,5,4,7,9,11] => [1,2,1,2,1,1,4]
[12,1,11,3,2,8,6,5,4,7,9,10] => [1,2,1,2,1,1,4]
[12,1,10,3,2,9,6,5,4,7,8,11] => [1,2,1,2,1,1,4]
[12,1,11,3,2,9,6,5,4,7,8,10] => [1,2,1,2,1,1,4]
[12,1,11,3,2,10,6,5,4,7,8,9] => [1,2,1,2,1,1,4]
[12,1,10,3,2,8,5,4,7,6,9,11] => [1,2,1,2,1,2,3]
[12,1,11,3,2,8,5,4,7,6,9,10] => [1,2,1,2,1,2,3]
[12,1,10,3,2,9,5,4,7,6,8,11] => [1,2,1,2,1,2,3]
[12,1,11,3,2,9,5,4,7,6,8,10] => [1,2,1,2,1,2,3]
[12,1,11,3,2,10,5,4,7,6,8,9] => [1,2,1,2,1,2,3]
[12,1,10,3,2,9,5,4,8,6,7,11] => [1,2,1,2,1,2,3]
[12,1,11,3,2,9,5,4,8,6,7,10] => [1,2,1,2,1,2,3]
[12,1,11,3,2,10,5,4,8,6,7,9] => [1,2,1,2,1,2,3]
[12,1,11,3,2,10,5,4,9,6,7,8] => [1,2,1,2,1,2,3]
[12,1,10,3,2,8,4,7,6,5,9,11] => [1,2,1,2,2,1,3]
[12,1,11,3,2,8,4,7,6,5,9,10] => [1,2,1,2,2,1,3]
[12,1,10,3,2,9,4,7,6,5,8,11] => [1,2,1,2,2,1,3]
[12,1,11,3,2,9,4,7,6,5,8,10] => [1,2,1,2,2,1,3]
[12,1,11,3,2,10,4,7,6,5,8,9] => [1,2,1,2,2,1,3]
[12,1,10,3,2,9,4,8,6,5,7,11] => [1,2,1,2,2,1,3]
[12,1,11,3,2,9,4,8,6,5,7,10] => [1,2,1,2,2,1,3]
[12,1,11,3,2,10,4,8,6,5,7,9] => [1,2,1,2,2,1,3]
[12,1,11,3,2,10,4,9,6,5,7,8] => [1,2,1,2,2,1,3]
[12,1,10,3,2,9,4,8,5,7,6,11] => [1,2,1,2,2,2,2]
[12,1,11,3,2,9,4,8,5,7,6,10] => [1,2,1,2,2,2,2]
[12,1,11,3,2,10,4,8,5,7,6,9] => [1,2,1,2,2,2,2]
[12,1,11,3,2,10,4,9,5,7,6,8] => [1,2,1,2,2,2,2]
[12,1,11,3,2,10,4,9,5,8,6,7] => [1,2,1,2,2,2,2]
[12,1,10,2,8,6,5,4,3,7,9,11] => [1,2,2,1,1,1,4]
[12,1,11,2,8,6,5,4,3,7,9,10] => [1,2,2,1,1,1,4]
[12,1,10,2,9,6,5,4,3,7,8,11] => [1,2,2,1,1,1,4]
[12,1,11,2,9,6,5,4,3,7,8,10] => [1,2,2,1,1,1,4]
[12,1,11,2,10,6,5,4,3,7,8,9] => [1,2,2,1,1,1,4]
[12,1,10,2,8,5,4,3,7,6,9,11] => [1,2,2,1,1,2,3]
[12,1,11,2,8,5,4,3,7,6,9,10] => [1,2,2,1,1,2,3]
[12,1,10,2,9,5,4,3,7,6,8,11] => [1,2,2,1,1,2,3]
[12,1,11,2,9,5,4,3,7,6,8,10] => [1,2,2,1,1,2,3]
[12,1,11,2,10,5,4,3,7,6,8,9] => [1,2,2,1,1,2,3]
[12,1,10,2,9,5,4,3,8,6,7,11] => [1,2,2,1,1,2,3]
[12,1,11,2,9,5,4,3,8,6,7,10] => [1,2,2,1,1,2,3]
[12,1,11,2,10,5,4,3,8,6,7,9] => [1,2,2,1,1,2,3]
[12,1,11,2,10,5,4,3,9,6,7,8] => [1,2,2,1,1,2,3]
[12,1,10,2,8,4,3,7,6,5,9,11] => [1,2,2,1,2,1,3]
[12,1,11,2,8,4,3,7,6,5,9,10] => [1,2,2,1,2,1,3]
[12,1,10,2,9,4,3,7,6,5,8,11] => [1,2,2,1,2,1,3]
[12,1,11,2,9,4,3,7,6,5,8,10] => [1,2,2,1,2,1,3]
[12,1,11,2,10,4,3,7,6,5,8,9] => [1,2,2,1,2,1,3]
[12,1,10,2,9,4,3,8,6,5,7,11] => [1,2,2,1,2,1,3]
[12,1,11,2,9,4,3,8,6,5,7,10] => [1,2,2,1,2,1,3]
[12,1,11,2,10,4,3,8,6,5,7,9] => [1,2,2,1,2,1,3]
[12,1,11,2,10,4,3,9,6,5,7,8] => [1,2,2,1,2,1,3]
[12,1,10,2,9,4,3,8,5,7,6,11] => [1,2,2,1,2,2,2]
[12,1,11,2,9,4,3,8,5,7,6,10] => [1,2,2,1,2,2,2]
[12,1,11,2,10,4,3,8,5,7,6,9] => [1,2,2,1,2,2,2]
[12,1,11,2,10,4,3,9,5,7,6,8] => [1,2,2,1,2,2,2]
[12,1,11,2,10,4,3,9,5,8,6,7] => [1,2,2,1,2,2,2]
[12,1,10,2,8,3,7,6,5,4,9,11] => [1,2,2,2,1,1,3]
[12,1,11,2,8,3,7,6,5,4,9,10] => [1,2,2,2,1,1,3]
[12,1,10,2,9,3,7,6,5,4,8,11] => [1,2,2,2,1,1,3]
[12,1,11,2,9,3,7,6,5,4,8,10] => [1,2,2,2,1,1,3]
[12,1,11,2,10,3,7,6,5,4,8,9] => [1,2,2,2,1,1,3]
[12,1,10,2,9,3,8,6,5,4,7,11] => [1,2,2,2,1,1,3]
[12,1,11,2,9,3,8,6,5,4,7,10] => [1,2,2,2,1,1,3]
[12,1,11,2,10,3,8,6,5,4,7,9] => [1,2,2,2,1,1,3]
[12,1,11,2,10,3,9,6,5,4,7,8] => [1,2,2,2,1,1,3]
[12,1,10,2,9,3,8,5,4,7,6,11] => [1,2,2,2,1,2,2]
[12,1,11,2,9,3,8,5,4,7,6,10] => [1,2,2,2,1,2,2]
[12,1,11,2,10,3,8,5,4,7,6,9] => [1,2,2,2,1,2,2]
[12,1,11,2,10,3,9,5,4,7,6,8] => [1,2,2,2,1,2,2]
[12,1,11,2,10,3,9,5,4,8,6,7] => [1,2,2,2,1,2,2]
[12,1,10,2,9,3,8,4,7,6,5,11] => [1,2,2,2,2,1,2]
[12,1,11,2,9,3,8,4,7,6,5,10] => [1,2,2,2,2,1,2]
[12,1,11,2,10,3,8,4,7,6,5,9] => [1,2,2,2,2,1,2]
[12,1,11,2,10,3,9,4,7,6,5,8] => [1,2,2,2,2,1,2]
[12,1,11,2,10,3,9,4,8,6,5,7] => [1,2,2,2,2,1,2]
[12,1,11,2,10,3,9,4,8,5,7,6] => [1,2,2,2,2,2,1]
[3,2,5,4,7,6,9,8,12,1,10,11] => [1,2,2,2,2,3]
[3,2,5,4,7,6,10,11,9,8,1,12] => [1,2,2,3,1,1,2]
[3,2,5,4,7,6,10,12,9,1,8,11] => [1,2,2,3,1,3]
[3,2,5,4,7,6,11,12,1,8,9,10] => [1,2,2,3,4]
[3,2,5,4,8,9,7,6,11,10,1,12] => [1,2,3,1,2,1,2]
[3,2,5,4,8,9,7,6,12,1,10,11] => [1,2,3,1,2,3]
[3,2,5,4,8,10,7,11,9,6,1,12] => [1,2,3,2,1,1,2]
[3,2,5,4,8,10,7,12,9,1,6,11] => [1,2,3,2,1,3]
[3,2,5,4,8,11,7,12,1,6,9,10] => [1,2,3,2,4]
[3,2,5,4,9,10,11,8,7,6,1,12] => [1,2,4,1,1,1,2]
[3,2,5,4,9,10,12,8,7,1,6,11] => [1,2,4,1,1,3]
[3,2,5,4,9,11,12,8,1,6,7,10] => [1,2,4,1,4]
[3,2,5,4,10,11,12,1,6,7,8,9] => [1,2,4,5]
[3,2,6,7,5,4,9,8,11,10,1,12] => [1,3,1,2,2,1,2]
[3,2,6,7,5,4,9,8,12,1,10,11] => [1,3,1,2,2,3]
[3,2,6,7,5,4,10,11,9,8,1,12] => [1,3,1,3,1,1,2]
[3,2,6,7,5,4,10,12,9,1,8,11] => [1,3,1,3,1,3]
[3,2,6,7,5,4,11,12,1,8,9,10] => [1,3,1,3,4]
[3,2,6,8,5,9,7,4,11,10,1,12] => [1,3,2,1,2,1,2]
[3,2,6,8,5,9,7,4,12,1,10,11] => [1,3,2,1,2,3]
[3,2,6,8,5,10,7,11,9,4,1,12] => [1,3,2,2,1,1,2]
[3,2,6,8,5,10,7,12,9,1,4,11] => [1,3,2,2,1,3]
[3,2,6,8,5,11,7,12,1,4,9,10] => [1,3,2,2,4]
[3,2,6,9,5,10,11,8,7,4,1,12] => [1,3,3,1,1,1,2]
[3,2,6,9,5,10,12,8,7,1,4,11] => [1,3,3,1,1,3]
[3,2,6,9,5,11,12,8,1,4,7,10] => [1,3,3,1,4]
[3,2,6,10,5,11,12,1,4,7,8,9] => [1,3,3,5]
[3,2,7,8,9,6,5,4,11,10,1,12] => [1,4,1,1,2,1,2]
[3,2,7,8,9,6,5,4,12,1,10,11] => [1,4,1,1,2,3]
[3,2,7,8,10,6,5,11,9,4,1,12] => [1,4,1,2,1,1,2]
[3,2,7,8,10,6,5,12,9,1,4,11] => [1,4,1,2,1,3]
[3,2,7,8,11,6,5,12,1,4,9,10] => [1,4,1,2,4]
[3,2,7,9,10,6,11,8,5,4,1,12] => [1,4,2,1,1,1,2]
[3,2,7,9,10,6,12,8,5,1,4,11] => [1,4,2,1,1,3]
[3,2,7,9,11,6,12,8,1,4,5,10] => [1,4,2,1,4]
[3,2,7,10,11,6,12,1,4,5,8,9] => [1,4,2,5]
[3,2,8,9,10,11,7,6,5,4,1,12] => [1,5,1,1,1,1,2]
[3,2,8,9,10,12,7,6,5,1,4,11] => [1,5,1,1,1,3]
[3,2,8,9,11,12,7,6,1,4,5,10] => [1,5,1,1,4]
[3,2,8,10,11,12,7,1,4,5,6,9] => [1,5,1,5]
[3,2,9,10,11,12,1,4,5,6,7,8] => [1,5,6]
[4,5,3,2,7,6,9,8,11,10,1,12] => [2,1,2,2,2,1,2]
[4,5,3,2,7,6,9,8,12,1,10,11] => [2,1,2,2,2,3]
[4,5,3,2,7,6,10,11,9,8,1,12] => [2,1,2,3,1,1,2]
[4,5,3,2,7,6,10,12,9,1,8,11] => [2,1,2,3,1,3]
[4,5,3,2,7,6,11,12,1,8,9,10] => [2,1,2,3,4]
[4,5,3,2,8,9,7,6,11,10,1,12] => [2,1,3,1,2,1,2]
[4,5,3,2,8,9,7,6,12,1,10,11] => [2,1,3,1,2,3]
[4,5,3,2,8,10,7,11,9,6,1,12] => [2,1,3,2,1,1,2]
[4,5,3,2,8,10,7,12,9,1,6,11] => [2,1,3,2,1,3]
[4,5,3,2,8,11,7,12,1,6,9,10] => [2,1,3,2,4]
[4,5,3,2,9,10,11,8,7,6,1,12] => [2,1,4,1,1,1,2]
[4,5,3,2,9,10,12,8,7,1,6,11] => [2,1,4,1,1,3]
[4,5,3,2,9,11,12,8,1,6,7,10] => [2,1,4,1,4]
[4,5,3,2,10,11,12,1,6,7,8,9] => [2,1,4,5]
[4,6,3,7,5,2,9,8,11,10,1,12] => [2,2,1,2,2,1,2]
[4,6,3,7,5,2,9,8,12,1,10,11] => [2,2,1,2,2,3]
[4,6,3,7,5,2,10,11,9,8,1,12] => [2,2,1,3,1,1,2]
[4,6,3,7,5,2,10,12,9,1,8,11] => [2,2,1,3,1,3]
[4,6,3,7,5,2,11,12,1,8,9,10] => [2,2,1,3,4]
[4,6,3,8,5,9,7,2,11,10,1,12] => [2,2,2,1,2,1,2]
[4,6,3,8,5,9,7,2,12,1,10,11] => [2,2,2,1,2,3]
[4,6,3,8,5,10,7,11,9,2,1,12] => [2,2,2,2,1,1,2]
[4,6,3,8,5,10,7,12,9,1,2,11] => [2,2,2,2,1,3]
[4,6,3,8,5,11,7,12,1,2,9,10] => [2,2,2,2,4]
[4,6,3,9,5,10,11,8,7,2,1,12] => [2,2,3,1,1,1,2]
[4,6,3,9,5,10,12,8,7,1,2,11] => [2,2,3,1,1,3]
[4,6,3,9,5,11,12,8,1,2,7,10] => [2,2,3,1,4]
[4,6,3,10,5,11,12,1,2,7,8,9] => [2,2,3,5]
[4,7,3,8,9,6,5,2,11,10,1,12] => [2,3,1,1,2,1,2]
[4,7,3,8,9,6,5,2,12,1,10,11] => [2,3,1,1,2,3]
[4,7,3,8,10,6,5,11,9,2,1,12] => [2,3,1,2,1,1,2]
[4,7,3,8,10,6,5,12,9,1,2,11] => [2,3,1,2,1,3]
[4,7,3,8,11,6,5,12,1,2,9,10] => [2,3,1,2,4]
[4,7,3,9,10,6,11,8,5,2,1,12] => [2,3,2,1,1,1,2]
[4,7,3,9,10,6,12,8,5,1,2,11] => [2,3,2,1,1,3]
[4,7,3,9,11,6,12,8,1,2,5,10] => [2,3,2,1,4]
[4,7,3,10,11,6,12,1,2,5,8,9] => [2,3,2,5]
[4,8,3,9,10,11,7,6,5,2,1,12] => [2,4,1,1,1,1,2]
[4,8,3,9,10,12,7,6,5,1,2,11] => [2,4,1,1,1,3]
[4,8,3,9,11,12,7,6,1,2,5,10] => [2,4,1,1,4]
[4,8,3,10,11,12,7,1,2,5,6,9] => [2,4,1,5]
[4,9,3,10,11,12,1,2,5,6,7,8] => [2,4,6]
[5,6,7,4,3,2,9,8,11,10,1,12] => [3,1,1,2,2,1,2]
[5,6,7,4,3,2,9,8,12,1,10,11] => [3,1,1,2,2,3]
[5,6,7,4,3,2,10,11,9,8,1,12] => [3,1,1,3,1,1,2]
[5,6,7,4,3,2,10,12,9,1,8,11] => [3,1,1,3,1,3]
[5,6,7,4,3,2,11,12,1,8,9,10] => [3,1,1,3,4]
[5,6,8,4,3,9,7,2,11,10,1,12] => [3,1,2,1,2,1,2]
[5,6,8,4,3,9,7,2,12,1,10,11] => [3,1,2,1,2,3]
[5,6,8,4,3,10,7,11,9,2,1,12] => [3,1,2,2,1,1,2]
[5,6,8,4,3,10,7,12,9,1,2,11] => [3,1,2,2,1,3]
[5,6,8,4,3,11,7,12,1,2,9,10] => [3,1,2,2,4]
[5,6,9,4,3,10,11,8,7,2,1,12] => [3,1,3,1,1,1,2]
[5,6,9,4,3,10,12,8,7,1,2,11] => [3,1,3,1,1,3]
[5,6,9,4,3,11,12,8,1,2,7,10] => [3,1,3,1,4]
[5,6,10,4,3,11,12,1,2,7,8,9] => [3,1,3,5]
[5,7,8,4,9,6,3,2,11,10,1,12] => [3,2,1,1,2,1,2]
[5,7,8,4,9,6,3,2,12,1,10,11] => [3,2,1,1,2,3]
[5,7,8,4,10,6,3,11,9,2,1,12] => [3,2,1,2,1,1,2]
[5,7,8,4,10,6,3,12,9,1,2,11] => [3,2,1,2,1,3]
[5,7,8,4,11,6,3,12,1,2,9,10] => [3,2,1,2,4]
[5,7,9,4,10,6,11,8,3,2,1,12] => [3,2,2,1,1,1,2]
[5,7,9,4,10,6,12,8,3,1,2,11] => [3,2,2,1,1,3]
[5,7,9,4,11,6,12,8,1,2,3,10] => [3,2,2,1,4]
[5,7,10,4,11,6,12,1,2,3,8,9] => [3,2,2,5]
[5,8,9,4,10,11,7,6,3,2,1,12] => [3,3,1,1,1,1,2]
[5,8,9,4,10,12,7,6,3,1,2,11] => [3,3,1,1,1,3]
[5,8,9,4,11,12,7,6,1,2,3,10] => [3,3,1,1,4]
[5,8,10,4,11,12,7,1,2,3,6,9] => [3,3,1,5]
[5,9,10,4,11,12,1,2,3,6,7,8] => [3,3,6]
[6,7,8,9,5,4,3,2,11,10,1,12] => [4,1,1,1,2,1,2]
[6,7,8,9,5,4,3,2,12,1,10,11] => [4,1,1,1,2,3]
[6,7,8,10,5,4,3,11,9,2,1,12] => [4,1,1,2,1,1,2]
[6,7,8,10,5,4,3,12,9,1,2,11] => [4,1,1,2,1,3]
[6,7,8,11,5,4,3,12,1,2,9,10] => [4,1,1,2,4]
[6,7,9,10,5,4,11,8,3,2,1,12] => [4,1,2,1,1,1,2]
[6,7,9,10,5,4,12,8,3,1,2,11] => [4,1,2,1,1,3]
[6,7,9,11,5,4,12,8,1,2,3,10] => [4,1,2,1,4]
[6,7,10,11,5,4,12,1,2,3,8,9] => [4,1,2,5]
[6,8,9,10,5,11,7,4,3,2,1,12] => [4,2,1,1,1,1,2]
[6,8,9,10,5,12,7,4,3,1,2,11] => [4,2,1,1,1,3]
[6,8,9,11,5,12,7,4,1,2,3,10] => [4,2,1,1,4]
[6,8,10,11,5,12,7,1,2,3,4,9] => [4,2,1,5]
[6,9,10,11,5,12,1,2,3,4,7,8] => [4,2,6]
[7,8,9,10,11,6,5,4,3,2,1,12] => [5,1,1,1,1,1,2]
[7,8,9,10,12,6,5,4,3,1,2,11] => [5,1,1,1,1,3]
[7,8,9,11,12,6,5,4,1,2,3,10] => [5,1,1,1,4]
[7,8,10,11,12,6,5,1,2,3,4,9] => [5,1,1,5]
[7,9,10,11,12,6,1,2,3,4,5,8] => [5,1,6]
[7,8,3,4,9,10,1,2,5,6,11,12] => [2,4,6]
[10,7,5,11,3,8,2,6,12,1,4,9] => [1,1,2,2,3,3]
[1,2,4,8,3,6,12,11,9,5,10,7] => [4,3,1,1,2,1]
[1,2,4,8,3,6,12,10,7,5,11,9] => [4,3,1,1,2,1]
[1,2,4,9,5,10,7,3,6,12,11,8] => [4,2,1,3,1,1]
[1,2,4,9,5,11,8,3,6,12,10,7] => [4,2,1,3,1,1]
[1,2,4,10,7,3,6,12,9,5,11,8] => [4,1,3,1,2,1]
[1,2,4,8,3,7,5,10,6,12,11,9] => [4,2,2,2,1,1]
[1,2,4,8,3,7,5,11,9,6,12,10] => [4,2,2,1,2,1]
[1,2,4,9,5,10,6,12,11,8,3,7] => [4,2,2,1,1,2]
[1,2,4,9,5,11,8,3,7,6,12,10] => [4,2,1,2,2,1]
[1,2,4,10,6,12,9,5,11,8,3,7] => [4,2,1,2,1,2]
[1,2,4,9,5,10,6,12,11,7,3,8] => [4,2,2,1,1,2]
[1,2,4,9,5,11,7,3,8,6,12,10] => [4,2,1,2,2,1]
[1,2,4,10,6,12,9,5,11,7,3,8] => [4,2,1,2,1,2]
[1,2,4,10,6,12,8,3,9,5,11,7] => [4,2,1,2,2,1]
[1,2,5,10,7,3,6,12,11,9,4,8] => [4,1,3,1,1,2]
[1,2,5,11,9,4,8,3,6,12,10,7] => [4,1,2,3,1,1]
[1,2,5,10,7,3,6,12,11,8,4,9] => [4,1,3,1,1,2]
[1,2,5,11,8,3,6,12,10,7,4,9] => [4,1,3,1,1,2]
[1,2,5,11,8,3,6,12,9,4,10,7] => [4,1,3,1,2,1]
[1,2,5,10,6,12,11,9,4,8,3,7] => [4,2,1,1,2,2]
[1,2,5,11,9,4,8,3,7,6,12,10] => [4,1,2,2,2,1]
[1,2,5,10,6,12,11,8,3,7,4,9] => [4,2,1,1,2,2]
[1,2,5,11,8,3,7,4,9,6,12,10] => [4,1,2,2,2,1]
[1,2,5,11,8,3,7,4,10,6,12,9] => [4,1,2,2,2,1]
[1,2,5,10,6,12,11,7,3,8,4,9] => [4,2,1,1,2,2]
[1,2,5,11,7,3,8,4,9,6,12,10] => [4,1,2,2,2,1]
[1,2,5,11,7,3,8,4,10,6,12,9] => [4,1,2,2,2,1]
[1,2,5,11,7,3,9,4,10,6,12,8] => [4,1,2,2,2,1]
[1,2,6,12,11,9,4,8,3,7,5,10] => [4,1,1,2,2,2]
[1,2,6,12,10,5,11,9,4,8,3,7] => [4,1,2,1,2,2]
[1,2,6,12,11,8,3,7,4,9,5,10] => [4,1,1,2,2,2]
[1,2,6,12,10,5,11,8,3,7,4,9] => [4,1,2,1,2,2]
[1,2,6,12,9,4,10,5,11,8,3,7] => [4,1,2,2,1,2]
[1,2,6,12,11,7,3,8,4,9,5,10] => [4,1,1,2,2,2]
[1,2,6,12,10,5,11,7,3,8,4,9] => [4,1,2,1,2,2]
[1,2,6,12,9,4,10,5,11,7,3,8] => [4,1,2,2,1,2]
[1,2,6,12,8,3,9,4,10,5,11,7] => [4,1,2,2,2,1]
[1,2,7,3,8,4,9,5,10,6,12,11] => [3,2,2,2,2,1]
[1,2,7,3,8,4,9,5,11,6,12,10] => [3,2,2,2,2,1]
[1,2,7,3,8,4,10,5,11,6,12,9] => [3,2,2,2,2,1]
[1,2,7,3,9,4,10,5,11,6,12,8] => [3,2,2,2,2,1]
[1,2,8,3,9,4,10,5,11,6,12,7] => [3,2,2,2,2,1]
[1,3,6,12,11,9,5,10,7,2,4,8] => [4,1,1,2,1,3]
[1,3,6,12,10,7,2,4,8,5,11,9] => [4,1,1,3,2,1]
[1,3,6,12,11,8,2,4,9,5,10,7] => [4,1,1,3,2,1]
[1,3,6,12,10,7,2,4,9,5,11,8] => [4,1,1,3,2,1]
[1,3,6,12,9,5,11,8,2,4,10,7] => [4,1,2,1,3,1]
[1,3,7,2,4,8,5,10,6,12,11,9] => [3,3,2,2,1,1]
[1,3,7,2,4,8,5,11,9,6,12,10] => [3,3,2,1,2,1]
[1,3,7,2,4,9,5,10,6,12,11,8] => [3,3,2,2,1,1]
[1,3,7,2,4,9,5,11,8,6,12,10] => [3,3,2,1,2,1]
[1,3,7,2,4,10,6,12,9,5,11,8] => [3,3,2,1,2,1]
[1,3,8,2,4,9,5,10,6,12,11,7] => [3,3,2,2,1,1]
[1,3,8,2,4,9,5,11,7,6,12,10] => [3,3,2,1,2,1]
[1,3,8,2,4,10,6,12,9,5,11,7] => [3,3,2,1,2,1]
[1,3,9,5,11,7,2,4,10,6,12,8] => [3,2,1,3,2,1]
[1,3,6,12,11,9,4,8,2,5,10,7] => [4,1,1,2,3,1]
[1,3,6,12,10,7,2,5,11,9,4,8] => [4,1,1,3,1,2]
[1,3,6,12,11,8,2,5,10,7,4,9] => [4,1,1,3,1,2]
[1,3,6,12,10,7,2,5,11,8,4,9] => [4,1,1,3,1,2]
[1,3,6,12,9,4,10,7,2,5,11,8] => [4,1,2,1,3,1]
[1,3,7,2,5,10,6,12,11,9,4,8] => [3,3,2,1,1,2]
[1,3,7,2,5,11,9,4,8,6,12,10] => [3,3,1,2,2,1]
[1,3,7,2,5,10,6,12,11,8,4,9] => [3,3,2,1,1,2]
[1,3,7,2,5,11,8,4,9,6,12,10] => [3,3,1,2,2,1]
[1,3,7,2,5,11,8,4,10,6,12,9] => [3,3,1,2,2,1]
[1,3,8,2,5,10,6,12,11,7,4,9] => [3,3,2,1,1,2]
[1,3,8,2,5,11,7,4,9,6,12,10] => [3,3,1,2,2,1]
[1,3,8,2,5,11,7,4,10,6,12,9] => [3,3,1,2,2,1]
[1,3,9,4,10,6,12,8,2,5,11,7] => [3,2,2,1,3,1]
[1,3,7,2,6,12,11,9,4,8,5,10] => [3,3,1,1,2,2]
[1,3,7,2,6,12,10,5,11,9,4,8] => [3,3,1,2,1,2]
[1,3,7,2,6,12,11,8,4,9,5,10] => [3,3,1,1,2,2]
[1,3,7,2,6,12,10,5,11,8,4,9] => [3,3,1,2,1,2]
[1,3,7,2,6,12,9,4,10,5,11,8] => [3,3,1,2,2,1]
[1,3,8,2,6,12,11,7,4,9,5,10] => [3,3,1,1,2,2]
[1,3,8,2,6,12,10,5,11,7,4,9] => [3,3,1,2,1,2]
[1,3,8,2,6,12,9,4,10,5,11,7] => [3,3,1,2,2,1]
[1,3,9,4,10,5,11,7,2,6,12,8] => [3,2,2,1,3,1]
[1,3,8,2,7,4,9,5,10,6,12,11] => [3,2,2,2,2,1]
[1,3,8,2,7,4,9,5,11,6,12,10] => [3,2,2,2,2,1]
[1,3,8,2,7,4,10,5,11,6,12,9] => [3,2,2,2,2,1]
[1,3,9,4,10,5,11,6,12,8,2,7] => [3,2,2,2,1,2]
[1,3,9,4,10,5,11,6,12,7,2,8] => [3,2,2,2,1,2]
[1,4,8,2,5,10,7,3,6,12,11,9] => [3,3,1,3,1,1]
[1,4,8,2,5,11,9,3,6,12,10,7] => [3,3,1,3,1,1]
[1,4,9,3,6,12,11,8,2,5,10,7] => [3,3,1,1,3,1]
[1,4,9,3,6,12,10,7,2,5,11,8] => [3,3,1,1,3,1]
[1,4,10,7,2,5,11,8,3,6,12,9] => [3,1,3,1,3,1]
[1,4,8,2,5,10,6,12,11,9,3,7] => [3,3,2,1,1,2]
[1,4,8,2,5,11,9,3,7,6,12,10] => [3,3,1,2,2,1]
[1,4,9,3,7,2,5,10,6,12,11,8] => [3,2,3,2,1,1]
[1,4,9,3,7,2,5,11,8,6,12,10] => [3,2,3,1,2,1]
[1,4,10,6,12,9,3,7,2,5,11,8] => [3,2,1,2,3,1]
[1,4,9,3,8,2,5,10,6,12,11,7] => [3,2,3,2,1,1]
[1,4,9,3,8,2,5,11,7,6,12,10] => [3,2,3,1,2,1]
[1,4,10,6,12,9,3,8,2,5,11,7] => [3,2,1,2,3,1]
[1,4,10,6,12,8,2,5,11,7,3,9] => [3,2,1,3,1,2]
[1,4,8,2,6,12,11,9,3,7,5,10] => [3,3,1,1,2,2]
[1,4,8,2,6,12,10,5,11,9,3,7] => [3,3,1,2,1,2]
[1,4,9,3,7,2,6,12,11,8,5,10] => [3,2,3,1,1,2]
[1,4,9,3,7,2,6,12,10,5,11,8] => [3,2,3,1,2,1]
[1,4,10,5,11,8,2,6,12,9,3,7] => [3,2,1,3,1,2]
[1,4,9,3,8,2,6,12,11,7,5,10] => [3,2,3,1,1,2]
[1,4,9,3,8,2,6,12,10,5,11,7] => [3,2,3,1,2,1]
[1,4,10,5,11,7,2,6,12,9,3,8] => [3,2,1,3,1,2]
[1,4,10,5,11,7,2,6,12,8,3,9] => [3,2,1,3,1,2]
[1,4,9,3,8,2,7,5,10,6,12,11] => [3,2,2,2,2,1]
[1,4,9,3,8,2,7,5,11,6,12,10] => [3,2,2,2,2,1]
[1,4,10,5,11,6,12,9,3,8,2,7] => [3,2,2,1,2,2]
[1,4,10,5,11,6,12,8,2,7,3,9] => [3,2,2,1,2,2]
[1,4,10,5,11,6,12,7,2,8,3,9] => [3,2,2,1,2,2]
[1,5,10,4,8,2,6,12,11,9,3,7] => [3,2,3,1,1,2]
[1,5,11,9,3,7,2,6,12,10,4,8] => [3,1,2,3,1,2]
[1,5,10,4,9,3,7,2,6,12,11,8] => [3,2,2,3,1,1]
[1,5,11,8,2,6,12,10,4,9,3,7] => [3,1,3,1,2,2]
[1,5,11,8,2,6,12,9,3,7,4,10] => [3,1,3,1,2,2]
[1,5,10,4,9,3,8,2,6,12,11,7] => [3,2,2,3,1,1]
[1,5,11,7,2,6,12,10,4,9,3,8] => [3,1,3,1,2,2]
[1,5,11,7,2,6,12,9,3,8,4,10] => [3,1,3,1,2,2]
[1,5,11,7,2,6,12,8,3,9,4,10] => [3,1,3,1,2,2]
[1,5,10,4,9,3,8,2,7,6,12,11] => [3,2,2,2,2,1]
[1,5,11,6,12,10,4,9,3,8,2,7] => [3,2,1,2,2,2]
[1,5,11,6,12,9,3,8,2,7,4,10] => [3,2,1,2,2,2]
[1,5,11,6,12,8,2,7,3,9,4,10] => [3,2,1,2,2,2]
[1,5,11,6,12,7,2,8,3,9,4,10] => [3,2,1,2,2,2]
[1,6,12,11,5,10,4,9,3,8,2,7] => [3,1,2,2,2,2]
[1,6,12,10,4,9,3,8,2,7,5,11] => [3,1,2,2,2,2]
[1,6,12,9,3,8,2,7,4,10,5,11] => [3,1,2,2,2,2]
[1,6,12,8,2,7,3,9,4,10,5,11] => [3,1,2,2,2,2]
[1,6,12,7,2,8,3,9,4,10,5,11] => [3,1,2,2,2,2]
[1,7,2,8,3,9,4,10,5,11,6,12] => [2,2,2,2,2,2]
[3,12,2,1,11,10,9,8,7,6,5,4] => [2,1,2,1,1,1,1,1,1,1]
[3,12,2,11,10,1,9,8,7,6,5,4] => [2,2,1,2,1,1,1,1,1]
[3,12,2,11,10,9,8,1,7,6,5,4] => [2,2,1,1,1,2,1,1,1]
[3,12,2,11,10,9,8,7,6,1,5,4] => [2,2,1,1,1,1,1,2,1]
[3,12,2,11,10,9,8,7,6,5,4,1] => [2,2,1,1,1,1,1,1,1,1]
[4,12,11,3,2,1,10,9,8,7,6,5] => [2,1,1,1,2,1,1,1,1,1]
[4,12,11,3,2,10,9,1,8,7,6,5] => [2,1,1,2,1,2,1,1,1]
[4,12,11,3,2,10,9,8,7,1,6,5] => [2,1,1,2,1,1,1,2,1]
[4,12,11,3,2,10,9,8,7,6,5,1] => [2,1,1,2,1,1,1,1,1,1]
[4,12,11,3,10,9,2,1,8,7,6,5] => [2,1,2,1,1,2,1,1,1]
[4,12,11,3,10,9,2,8,7,1,6,5] => [2,1,2,1,2,1,2,1]
[4,12,11,3,10,9,2,8,7,6,5,1] => [2,1,2,1,2,1,1,1,1]
[4,12,11,3,10,9,8,7,2,1,6,5] => [2,1,2,1,1,1,1,2,1]
[4,12,11,3,10,9,8,7,2,6,5,1] => [2,1,2,1,1,1,2,1,1]
[4,12,11,3,10,9,8,7,6,5,2,1] => [2,1,2,1,1,1,1,1,1,1]
[5,12,11,10,4,3,2,1,9,8,7,6] => [2,1,1,1,1,1,2,1,1,1]
[5,12,11,10,4,3,2,9,8,1,7,6] => [2,1,1,1,1,2,1,2,1]
[5,12,11,10,4,3,2,9,8,7,6,1] => [2,1,1,1,1,2,1,1,1,1]
[5,12,11,10,4,3,9,8,2,1,7,6] => [2,1,1,1,2,1,1,2,1]
[5,12,11,10,4,3,9,8,2,7,6,1] => [2,1,1,1,2,1,2,1,1]
[5,12,11,10,4,3,9,8,7,6,2,1] => [2,1,1,1,2,1,1,1,1,1]
[5,12,11,10,4,9,8,3,2,1,7,6] => [2,1,1,2,1,1,1,2,1]
[5,12,11,10,4,9,8,3,2,7,6,1] => [2,1,1,2,1,1,2,1,1]
[5,12,11,10,4,9,8,3,7,6,2,1] => [2,1,1,2,1,2,1,1,1]
[5,12,11,10,4,9,8,7,6,3,2,1] => [2,1,1,2,1,1,1,1,1,1]
[6,12,11,10,9,5,4,3,2,1,8,7] => [2,1,1,1,1,1,1,1,2,1]
[6,12,11,10,9,5,4,3,2,8,7,1] => [2,1,1,1,1,1,1,2,1,1]
[6,12,11,10,9,5,4,3,8,7,2,1] => [2,1,1,1,1,1,2,1,1,1]
[6,12,11,10,9,5,4,8,7,3,2,1] => [2,1,1,1,1,2,1,1,1,1]
[6,12,11,10,9,5,8,7,4,3,2,1] => [2,1,1,1,2,1,1,1,1,1]
[7,12,11,10,9,8,6,5,4,3,2,1] => [2,1,1,1,1,1,1,1,1,1,1]
[6,3,2,12,11,1,10,9,8,7,5,4] => [1,1,2,1,2,1,1,1,1,1]
[8,3,2,12,11,10,9,1,7,6,5,4] => [1,1,2,1,1,1,2,1,1,1]
[10,3,2,12,11,9,8,7,6,1,5,4] => [1,1,2,1,1,1,1,1,2,1]
[8,5,4,3,2,12,11,1,10,9,7,6] => [1,1,1,1,2,1,2,1,1,1]
[10,5,4,3,2,12,11,9,8,1,7,6] => [1,1,1,1,2,1,1,1,2,1]
[8,7,4,3,12,11,2,1,10,9,6,5] => [1,1,1,2,1,1,2,1,1,1]
[10,7,4,3,12,11,2,9,8,1,6,5] => [1,1,1,2,1,2,1,2,1]
[12,7,4,3,11,10,2,9,8,6,5,1] => [1,1,1,2,1,2,1,1,1,1]
[10,9,4,3,12,11,8,7,2,1,6,5] => [1,1,1,2,1,1,1,1,2,1]
[12,9,4,3,11,10,8,7,2,6,5,1] => [1,1,1,2,1,1,1,2,1,1]
[10,7,6,5,4,3,2,12,11,1,9,8] => [1,1,1,1,1,1,2,1,2,1]
[10,9,6,5,4,3,12,11,2,1,8,7] => [1,1,1,1,1,2,1,1,2,1]
[12,9,6,5,4,3,11,10,2,8,7,1] => [1,1,1,1,1,2,1,2,1,1]
[10,9,8,5,4,12,11,3,2,1,7,6] => [1,1,1,1,2,1,1,1,2,1]
[12,9,8,5,4,11,10,3,2,7,6,1] => [1,1,1,1,2,1,1,2,1,1]
[12,11,8,5,4,10,9,3,7,6,2,1] => [1,1,1,1,2,1,2,1,1,1]
[8,9,10,11,7,1,2,3,4,5,12,6] => [4,1,6,1]
[2,9,10,11,12,8,1,3,4,5,6,7] => [5,1,6]
[10,11,9,12,7,8,5,6,3,4,1,2] => [2,2,2,2,2,2]
[11,12,8,9,7,10,5,6,3,4,1,2] => [2,2,2,2,2,2]
[10,11,8,9,7,12,5,6,3,4,1,2] => [2,2,2,2,2,2]
[9,10,8,11,7,12,5,6,3,4,1,2] => [2,2,2,2,2,2]
[11,12,9,10,6,7,5,8,3,4,1,2] => [2,2,2,2,2,2]
[10,11,9,12,6,7,5,8,3,4,1,2] => [2,2,2,2,2,2]
[11,12,8,9,6,7,5,10,3,4,1,2] => [2,2,2,2,2,2]
[11,12,7,8,6,9,5,10,3,4,1,2] => [2,2,2,2,2,2]
[10,11,8,9,6,7,5,12,3,4,1,2] => [2,2,2,2,2,2]
[9,10,8,11,6,7,5,12,3,4,1,2] => [2,2,2,2,2,2]
[10,11,7,8,6,9,5,12,3,4,1,2] => [2,2,2,2,2,2]
[9,10,7,8,6,11,5,12,3,4,1,2] => [2,2,2,2,2,2]
[8,9,7,10,6,11,5,12,3,4,1,2] => [2,2,2,2,2,2]
[11,12,9,10,7,8,4,5,3,6,1,2] => [2,2,2,2,2,2]
[10,11,9,12,7,8,4,5,3,6,1,2] => [2,2,2,2,2,2]
[11,12,8,9,7,10,4,5,3,6,1,2] => [2,2,2,2,2,2]
[10,11,8,9,7,12,4,5,3,6,1,2] => [2,2,2,2,2,2]
[9,10,8,11,7,12,4,5,3,6,1,2] => [2,2,2,2,2,2]
[11,12,9,10,6,7,4,5,3,8,1,2] => [2,2,2,2,2,2]
[10,11,9,12,6,7,4,5,3,8,1,2] => [2,2,2,2,2,2]
[11,12,9,10,5,6,4,7,3,8,1,2] => [2,2,2,2,2,2]
[10,11,9,12,5,6,4,7,3,8,1,2] => [2,2,2,2,2,2]
[11,12,8,9,6,7,4,5,3,10,1,2] => [2,2,2,2,2,2]
[11,12,7,8,6,9,4,5,3,10,1,2] => [2,2,2,2,2,2]
[11,12,8,9,5,6,4,7,3,10,1,2] => [2,2,2,2,2,2]
[11,12,7,8,5,6,4,9,3,10,1,2] => [2,2,2,2,2,2]
[11,12,6,7,5,8,4,9,3,10,1,2] => [2,2,2,2,2,2]
[10,11,8,9,6,7,4,5,3,12,1,2] => [2,2,2,2,2,2]
[9,10,8,11,6,7,4,5,3,12,1,2] => [2,2,2,2,2,2]
[10,11,7,8,6,9,4,5,3,12,1,2] => [2,2,2,2,2,2]
[9,10,7,8,6,11,4,5,3,12,1,2] => [2,2,2,2,2,2]
[8,9,7,10,6,11,4,5,3,12,1,2] => [2,2,2,2,2,2]
[10,11,8,9,5,6,4,7,3,12,1,2] => [2,2,2,2,2,2]
[9,10,8,11,5,6,4,7,3,12,1,2] => [2,2,2,2,2,2]
[10,11,7,8,5,6,4,9,3,12,1,2] => [2,2,2,2,2,2]
[10,11,6,7,5,8,4,9,3,12,1,2] => [2,2,2,2,2,2]
[9,10,7,8,5,6,4,11,3,12,1,2] => [2,2,2,2,2,2]
[8,9,7,10,5,6,4,11,3,12,1,2] => [2,2,2,2,2,2]
[9,10,6,7,5,8,4,11,3,12,1,2] => [2,2,2,2,2,2]
[8,9,6,7,5,10,4,11,3,12,1,2] => [2,2,2,2,2,2]
[7,8,6,9,5,10,4,11,3,12,1,2] => [2,2,2,2,2,2]
[11,12,9,10,7,8,5,6,2,3,1,4] => [2,2,2,2,2,2]
[10,11,9,12,7,8,5,6,2,3,1,4] => [2,2,2,2,2,2]
[11,12,8,9,7,10,5,6,2,3,1,4] => [2,2,2,2,2,2]
[10,11,8,9,7,12,5,6,2,3,1,4] => [2,2,2,2,2,2]
[9,10,8,11,7,12,5,6,2,3,1,4] => [2,2,2,2,2,2]
[11,12,9,10,6,7,5,8,2,3,1,4] => [2,2,2,2,2,2]
[10,11,9,12,6,7,5,8,2,3,1,4] => [2,2,2,2,2,2]
[11,12,8,9,6,7,5,10,2,3,1,4] => [2,2,2,2,2,2]
[11,12,7,8,6,9,5,10,2,3,1,4] => [2,2,2,2,2,2]
[10,11,8,9,6,7,5,12,2,3,1,4] => [2,2,2,2,2,2]
[9,10,8,11,6,7,5,12,2,3,1,4] => [2,2,2,2,2,2]
[10,11,7,8,6,9,5,12,2,3,1,4] => [2,2,2,2,2,2]
[9,10,7,8,6,11,5,12,2,3,1,4] => [2,2,2,2,2,2]
[8,9,7,10,6,11,5,12,2,3,1,4] => [2,2,2,2,2,2]
[11,12,9,10,7,8,4,5,2,3,1,6] => [2,2,2,2,2,2]
[10,11,9,12,7,8,4,5,2,3,1,6] => [2,2,2,2,2,2]
[11,12,8,9,7,10,4,5,2,3,1,6] => [2,2,2,2,2,2]
[10,11,8,9,7,12,4,5,2,3,1,6] => [2,2,2,2,2,2]
[9,10,8,11,7,12,4,5,2,3,1,6] => [2,2,2,2,2,2]
[11,12,9,10,7,8,3,4,2,5,1,6] => [2,2,2,2,2,2]
[10,11,9,12,7,8,3,4,2,5,1,6] => [2,2,2,2,2,2]
[11,12,8,9,7,10,3,4,2,5,1,6] => [2,2,2,2,2,2]
[10,11,8,9,7,12,3,4,2,5,1,6] => [2,2,2,2,2,2]
[9,10,8,11,7,12,3,4,2,5,1,6] => [2,2,2,2,2,2]
[11,12,9,10,6,7,4,5,2,3,1,8] => [2,2,2,2,2,2]
[10,11,9,12,6,7,4,5,2,3,1,8] => [2,2,2,2,2,2]
[11,12,9,10,5,6,4,7,2,3,1,8] => [2,2,2,2,2,2]
[10,11,9,12,5,6,4,7,2,3,1,8] => [2,2,2,2,2,2]
[11,12,9,10,6,7,3,4,2,5,1,8] => [2,2,2,2,2,2]
[10,11,9,12,6,7,3,4,2,5,1,8] => [2,2,2,2,2,2]
[11,12,9,10,5,6,3,4,2,7,1,8] => [2,2,2,2,2,2]
[10,11,9,12,5,6,3,4,2,7,1,8] => [2,2,2,2,2,2]
[11,12,9,10,4,5,3,6,2,7,1,8] => [2,2,2,2,2,2]
[10,11,9,12,4,5,3,6,2,7,1,8] => [2,2,2,2,2,2]
[11,12,8,9,6,7,4,5,2,3,1,10] => [2,2,2,2,2,2]
[11,12,7,8,6,9,4,5,2,3,1,10] => [2,2,2,2,2,2]
[11,12,8,9,5,6,4,7,2,3,1,10] => [2,2,2,2,2,2]
[11,12,7,8,5,6,4,9,2,3,1,10] => [2,2,2,2,2,2]
[11,12,6,7,5,8,4,9,2,3,1,10] => [2,2,2,2,2,2]
[11,12,8,9,6,7,3,4,2,5,1,10] => [2,2,2,2,2,2]
[11,12,7,8,6,9,3,4,2,5,1,10] => [2,2,2,2,2,2]
[11,12,8,9,5,6,3,4,2,7,1,10] => [2,2,2,2,2,2]
[11,12,8,9,4,5,3,6,2,7,1,10] => [2,2,2,2,2,2]
[11,12,7,8,5,6,3,4,2,9,1,10] => [2,2,2,2,2,2]
[11,12,6,7,5,8,3,4,2,9,1,10] => [2,2,2,2,2,2]
[11,12,7,8,4,5,3,6,2,9,1,10] => [2,2,2,2,2,2]
[11,12,6,7,4,5,3,8,2,9,1,10] => [2,2,2,2,2,2]
[11,12,5,6,4,7,3,8,2,9,1,10] => [2,2,2,2,2,2]
[10,11,8,9,6,7,4,5,2,3,1,12] => [2,2,2,2,2,2]
[9,10,8,11,6,7,4,5,2,3,1,12] => [2,2,2,2,2,2]
[10,11,7,8,6,9,4,5,2,3,1,12] => [2,2,2,2,2,2]
[9,10,7,8,6,11,4,5,2,3,1,12] => [2,2,2,2,2,2]
[8,9,7,10,6,11,4,5,2,3,1,12] => [2,2,2,2,2,2]
[10,11,8,9,5,6,4,7,2,3,1,12] => [2,2,2,2,2,2]
[9,10,8,11,5,6,4,7,2,3,1,12] => [2,2,2,2,2,2]
[10,11,7,8,5,6,4,9,2,3,1,12] => [2,2,2,2,2,2]
[10,11,6,7,5,8,4,9,2,3,1,12] => [2,2,2,2,2,2]
[9,10,7,8,5,6,4,11,2,3,1,12] => [2,2,2,2,2,2]
[8,9,7,10,5,6,4,11,2,3,1,12] => [2,2,2,2,2,2]
[9,10,6,7,5,8,4,11,2,3,1,12] => [2,2,2,2,2,2]
[8,9,6,7,5,10,4,11,2,3,1,12] => [2,2,2,2,2,2]
[7,8,6,9,5,10,4,11,2,3,1,12] => [2,2,2,2,2,2]
[10,11,8,9,6,7,3,4,2,5,1,12] => [2,2,2,2,2,2]
[9,10,8,11,6,7,3,4,2,5,1,12] => [2,2,2,2,2,2]
[10,11,7,8,6,9,3,4,2,5,1,12] => [2,2,2,2,2,2]
[9,10,7,8,6,11,3,4,2,5,1,12] => [2,2,2,2,2,2]
[8,9,7,10,6,11,3,4,2,5,1,12] => [2,2,2,2,2,2]
[10,11,8,9,5,6,3,4,2,7,1,12] => [2,2,2,2,2,2]
[9,10,8,11,5,6,3,4,2,7,1,12] => [2,2,2,2,2,2]
[10,11,8,9,4,5,3,6,2,7,1,12] => [2,2,2,2,2,2]
[9,10,8,11,4,5,3,6,2,7,1,12] => [2,2,2,2,2,2]
[10,11,7,8,5,6,3,4,2,9,1,12] => [2,2,2,2,2,2]
[10,11,6,7,5,8,3,4,2,9,1,12] => [2,2,2,2,2,2]
[10,11,7,8,4,5,3,6,2,9,1,12] => [2,2,2,2,2,2]
[10,11,6,7,4,5,3,8,2,9,1,12] => [2,2,2,2,2,2]
[10,11,5,6,4,7,3,8,2,9,1,12] => [2,2,2,2,2,2]
[9,10,7,8,5,6,3,4,2,11,1,12] => [2,2,2,2,2,2]
[8,9,7,10,5,6,3,4,2,11,1,12] => [2,2,2,2,2,2]
[9,10,6,7,5,8,3,4,2,11,1,12] => [2,2,2,2,2,2]
[8,9,6,7,5,10,3,4,2,11,1,12] => [2,2,2,2,2,2]
[7,8,6,9,5,10,3,4,2,11,1,12] => [2,2,2,2,2,2]
[9,10,7,8,4,5,3,6,2,11,1,12] => [2,2,2,2,2,2]
[8,9,7,10,4,5,3,6,2,11,1,12] => [2,2,2,2,2,2]
[9,10,6,7,4,5,3,8,2,11,1,12] => [2,2,2,2,2,2]
[9,10,5,6,4,7,3,8,2,11,1,12] => [2,2,2,2,2,2]
[8,9,6,7,4,5,3,10,2,11,1,12] => [2,2,2,2,2,2]
[7,8,6,9,4,5,3,10,2,11,1,12] => [2,2,2,2,2,2]
[8,9,5,6,4,7,3,10,2,11,1,12] => [2,2,2,2,2,2]
[7,8,5,6,4,9,3,10,2,11,1,12] => [2,2,2,2,2,2]
[6,7,5,8,4,9,3,10,2,11,1,12] => [2,2,2,2,2,2]
[1,2,3,4,5,6,7,8,9,11,12,10] => [11,1]
[3,1,4,5,6,7,8,9,10,12,2,11] => [1,9,2]
[11,12,2,4,6,8,10,1,3,5,7,9] => [2,5,5]
[9,10,2,4,6,8,12,1,3,5,7,11] => [2,5,5]
[11,9,12,2,4,6,8,10,1,3,5,7] => [1,2,5,4]
[10,11,12,9,2,4,6,8,1,3,5,7] => [3,1,4,4]
[7,8,2,4,6,10,12,1,3,5,9,11] => [2,5,5]
[7,8,11,12,2,4,6,10,1,3,5,9] => [4,4,4]
[9,7,10,2,4,6,8,12,1,3,5,11] => [1,2,5,4]
[9,11,7,12,2,4,6,8,10,1,3,5] => [2,2,5,3]
[7,10,11,12,9,2,4,6,8,1,3,5] => [4,1,4,3]
[8,9,10,7,2,4,6,12,1,3,5,11] => [3,1,4,4]
[11,8,9,7,12,2,4,6,10,1,3,5] => [1,2,2,4,3]
[10,11,8,12,7,9,2,4,6,1,3,5] => [2,2,2,3,3]
[9,10,11,12,8,7,2,4,6,1,3,5] => [4,1,1,3,3]
[5,6,2,4,8,10,12,1,3,7,9,11] => [2,5,5]
[5,6,11,12,2,4,8,10,1,3,7,9] => [4,4,4]
[5,6,9,10,2,4,8,12,1,3,7,11] => [4,4,4]
[11,5,6,9,12,2,4,8,10,1,3,7] => [1,4,4,3]
[10,11,12,5,6,9,2,4,8,1,3,7] => [3,3,3,3]
[7,5,8,2,4,6,10,12,1,3,9,11] => [1,2,5,4]
[7,5,8,11,12,2,4,6,10,1,3,9] => [1,4,4,3]
[7,9,5,10,2,4,6,8,12,1,3,11] => [2,2,5,3]
[7,9,11,5,12,2,4,6,8,10,1,3] => [3,2,5,2]
[10,7,11,12,5,9,2,4,6,8,1,3] => [1,3,2,4,2]
[5,8,9,10,7,2,4,6,12,1,3,11] => [4,1,4,3]
[11,5,8,9,7,12,2,4,6,10,1,3] => [1,3,2,4,2]
[8,10,5,11,12,7,9,2,4,6,1,3] => [2,3,2,3,2]
[9,10,11,12,5,8,7,2,4,6,1,3] => [4,2,1,3,2]
[6,7,8,5,2,4,10,12,1,3,9,11] => [3,1,4,4]
[6,7,8,5,11,12,2,4,10,1,3,9] => [3,3,3,3]
[9,6,7,5,10,2,4,8,12,1,3,11] => [1,2,2,4,3]
[9,6,7,11,5,12,2,4,8,10,1,3] => [1,3,2,4,2]
[6,10,7,11,12,5,9,2,4,8,1,3] => [2,3,2,3,2]
[8,9,6,10,5,7,2,4,12,1,3,11] => [2,2,2,3,3]
[8,9,11,6,5,7,12,2,4,10,1,3] => [3,1,3,3,2]
[10,8,11,6,12,5,7,9,2,4,1,3] => [1,2,2,3,2,2]
[9,6,10,11,12,8,5,7,2,4,1,3] => [1,4,1,2,2,2]
[7,8,9,10,6,5,2,4,12,1,3,11] => [4,1,1,3,3]
[11,7,8,9,6,5,12,2,4,10,1,3] => [1,3,1,2,3,2]
[10,11,7,8,6,12,5,9,2,4,1,3] => [2,2,2,2,2,2]
[9,10,11,7,12,6,8,5,2,4,1,3] => [3,2,2,1,2,2]
[8,9,10,11,12,7,6,5,2,4,1,3] => [5,1,1,1,2,2]
[3,4,2,6,8,10,12,1,5,7,9,11] => [2,5,5]
[3,4,11,12,2,6,8,10,1,5,7,9] => [4,4,4]
[3,4,9,10,2,6,8,12,1,5,7,11] => [4,4,4]
[11,3,4,9,12,2,6,8,10,1,5,7] => [1,4,4,3]
[10,11,12,3,4,9,2,6,8,1,5,7] => [3,3,3,3]
[3,4,7,8,2,6,10,12,1,5,9,11] => [4,4,4]
[3,4,7,8,11,12,2,6,10,1,5,9] => [6,3,3]
[9,3,4,7,10,2,6,8,12,1,5,11] => [1,4,4,3]
[9,11,3,4,7,12,2,6,8,10,1,5] => [2,4,4,2]
[3,10,11,12,4,7,9,2,6,8,1,5] => [4,3,3,2]
[8,9,10,3,4,7,2,6,12,1,5,11] => [3,3,3,3]
[11,8,9,3,4,7,12,2,6,10,1,5] => [1,2,4,3,2]
[10,11,8,12,3,4,7,9,2,6,1,5] => [2,2,4,2,2]
[9,10,11,12,8,3,4,7,2,6,1,5] => [4,1,3,2,2]
[5,3,6,2,4,8,10,12,1,7,9,11] => [1,2,5,4]
[5,3,6,11,12,2,4,8,10,1,7,9] => [1,4,4,3]
[5,3,6,9,10,2,4,8,12,1,7,11] => [1,4,4,3]
[5,11,3,6,9,12,2,4,8,10,1,7] => [2,4,4,2]
[5,10,11,12,3,6,9,2,4,8,1,7] => [4,3,3,2]
[5,7,3,8,2,4,6,10,12,1,9,11] => [2,2,5,3]
[5,7,3,8,11,12,2,4,6,10,1,9] => [2,4,4,2]
[5,7,9,3,10,2,4,6,8,12,1,11] => [3,2,5,2]
[5,7,9,11,3,12,2,4,6,8,10,1] => [4,2,5,1]
[10,5,7,11,12,3,9,2,4,6,8,1] => [1,4,2,4,1]
[8,5,9,10,3,7,2,4,6,12,1,11] => [1,3,2,4,2]
[8,11,5,9,3,7,12,2,4,6,10,1] => [2,2,3,4,1]
[8,10,11,5,12,3,7,9,2,4,6,1] => [3,2,3,3,1]
[5,9,10,11,12,8,3,7,2,4,6,1] => [5,1,2,3,1]
[3,6,7,8,5,2,4,10,12,1,9,11] => [4,1,4,3]
[3,6,7,8,5,11,12,2,4,10,1,9] => [4,3,3,2]
[9,3,6,7,5,10,2,4,8,12,1,11] => [1,3,2,4,2]
[9,3,6,7,11,5,12,2,4,8,10,1] => [1,4,2,4,1]
[6,10,3,7,11,12,5,9,2,4,8,1] => [2,4,2,3,1]
[6,8,3,9,10,5,7,2,4,12,1,11] => [2,3,2,3,2]
[6,8,9,3,11,5,7,12,2,4,10,1] => [3,2,3,3,1]
[10,6,8,3,11,12,5,7,9,2,4,1] => [1,2,3,3,2,1]
[9,6,10,11,12,3,8,5,7,2,4,1] => [1,4,2,2,2,1]
[7,8,9,10,3,6,5,2,4,12,1,11] => [4,2,1,3,2]
[11,7,8,9,3,6,5,12,2,4,10,1] => [1,3,2,2,3,1]
[10,11,7,8,3,6,12,5,9,2,4,1] => [2,2,3,2,2,1]
[9,10,11,7,12,3,6,8,5,2,4,1] => [3,2,3,1,2,1]
[8,9,10,11,12,7,3,6,5,2,4,1] => [5,1,2,1,2,1]
[4,5,6,3,2,8,10,12,1,7,9,11] => [3,1,4,4]
[4,5,6,3,11,12,2,8,10,1,7,9] => [3,3,3,3]
[4,5,6,3,9,10,2,8,12,1,7,11] => [3,3,3,3]
[4,5,6,11,3,9,12,2,8,10,1,7] => [4,3,3,2]
[4,5,6,10,11,12,3,9,2,8,1,7] => [6,2,2,2]
[7,4,5,3,8,2,6,10,12,1,9,11] => [1,2,2,4,3]
[7,4,5,3,8,11,12,2,6,10,1,9] => [1,2,4,3,2]
[7,4,5,9,3,10,2,6,8,12,1,11] => [1,3,2,4,2]
[7,4,5,9,11,3,12,2,6,8,10,1] => [1,4,2,4,1]
[7,10,4,5,11,12,3,9,2,6,8,1] => [2,4,2,3,1]
[4,8,5,9,10,3,7,2,6,12,1,11] => [2,3,2,3,2]
[4,8,11,5,9,3,7,12,2,6,10,1] => [3,2,3,3,1]
[4,8,10,11,5,12,3,7,9,2,6,1] => [4,2,3,2,1]
[4,5,9,10,11,12,8,3,7,2,6,1] => [6,1,2,2,1]
[6,7,4,8,3,5,2,10,12,1,9,11] => [2,2,2,3,3]
[6,7,4,8,3,5,11,12,2,10,1,9] => [2,2,4,2,2]
[6,7,9,4,3,5,10,2,8,12,1,11] => [3,1,3,3,2]
[6,7,9,4,11,3,5,12,2,8,10,1] => [3,2,3,3,1]
[10,6,7,4,11,12,3,5,9,2,8,1] => [1,2,3,3,2,1]
[8,6,9,4,10,3,5,7,2,12,1,11] => [1,2,2,3,2,2]
[8,6,9,11,4,3,5,7,12,2,10,1] => [1,3,1,4,2,1]
[8,10,6,11,4,12,3,5,7,9,2,1] => [2,2,2,4,1,1]
[6,9,4,10,11,12,8,3,5,7,2,1] => [2,4,1,3,1,1]
[7,4,8,9,10,6,3,5,2,12,1,11] => [1,4,1,2,2,2]
[7,11,4,8,9,6,3,5,12,2,10,1] => [2,3,1,3,2,1]
[7,8,10,4,11,6,12,3,5,9,2,1] => [3,2,2,3,1,1]
[9,7,10,4,11,12,6,8,3,5,2,1] => [1,2,3,2,2,1,1]
[4,8,9,10,11,12,7,6,3,5,2,1] => [6,1,1,2,1,1]
[5,6,7,8,4,3,2,10,12,1,9,11] => [4,1,1,3,3]
[5,6,7,8,4,3,11,12,2,10,1,9] => [4,1,3,2,2]
[9,5,6,7,4,3,10,2,8,12,1,11] => [1,3,1,2,3,2]
[9,5,6,7,4,11,3,12,2,8,10,1] => [1,3,2,2,3,1]
[5,10,6,7,4,11,12,3,9,2,8,1] => [2,2,3,2,2,1]
[8,9,5,6,4,10,3,7,2,12,1,11] => [2,2,2,2,2,2]
[8,9,5,6,11,4,3,7,12,2,10,1] => [2,3,1,3,2,1]
[10,8,5,6,11,4,12,3,7,9,2,1] => [1,1,3,2,3,1,1]
[9,5,10,6,11,12,4,8,3,7,2,1] => [1,2,3,2,2,1,1]
[7,8,9,5,10,4,6,3,2,12,1,11] => [3,2,2,1,2,2]
[7,8,9,11,5,4,6,3,12,2,10,1] => [4,1,2,2,2,1]
[10,7,8,11,5,4,6,12,3,9,2,1] => [1,3,1,3,2,1,1]
[9,10,7,11,5,12,4,6,8,3,2,1] => [2,2,2,3,1,1,1]
[8,9,5,10,11,12,7,4,6,3,2,1] => [2,4,1,2,1,1,1]
[6,7,8,9,10,5,4,3,2,12,1,11] => [5,1,1,1,2,2]
[11,6,7,8,9,5,4,3,12,2,10,1] => [1,4,1,1,2,2,1]
[10,11,6,7,8,5,4,12,3,9,2,1] => [2,3,1,2,2,1,1]
[9,10,11,6,7,5,12,4,8,3,2,1] => [3,2,2,2,1,1,1]
[8,9,10,11,6,12,5,7,4,3,2,1] => [4,2,2,1,1,1,1]
[7,6,5,4,3,2,1,8,9,10,11,12] => [1,1,1,1,1,1,6]
[6,5,2,1,4,3,12,11,8,7,10,9] => [1,1,1,2,2,1,1,2,1]
[2,1,4,3,6,5,8,7,9,11,12,10] => [1,2,2,2,4,1]
[2,1,4,3,6,5,7,9,10,8,12,11] => [1,2,2,4,2,1]
[2,1,4,3,6,5,7,9,8,11,12,10] => [1,2,2,3,3,1]
[2,1,4,3,6,5,7,8,10,11,12,9] => [1,2,2,6,1]
[2,1,4,3,5,7,8,6,10,9,12,11] => [1,2,4,2,2,1]
[2,1,4,3,5,7,8,6,9,11,12,10] => [1,2,4,4,1]
[2,1,4,3,5,7,6,9,10,8,12,11] => [1,2,3,3,2,1]
[2,1,4,3,5,7,6,9,8,11,12,10] => [1,2,3,2,3,1]
[2,1,4,3,5,7,6,8,10,11,12,9] => [1,2,3,5,1]
[2,1,4,3,5,6,8,9,10,7,12,11] => [1,2,6,2,1]
[2,1,4,3,5,6,8,9,7,11,12,10] => [1,2,5,3,1]
[2,1,4,3,5,6,8,7,10,11,12,9] => [1,2,4,4,1]
[2,1,4,3,5,6,7,9,10,11,12,8] => [1,2,8,1]
[2,1,3,5,6,4,8,7,10,9,12,11] => [1,4,2,2,2,1]
[2,1,3,5,6,4,8,7,9,11,12,10] => [1,4,2,4,1]
[2,1,3,5,6,4,7,9,10,8,12,11] => [1,4,4,2,1]
[2,1,3,5,6,4,7,9,8,11,12,10] => [1,4,3,3,1]
[2,1,3,5,6,4,7,8,10,11,12,9] => [1,4,6,1]
[2,1,3,5,4,7,8,6,10,9,12,11] => [1,3,3,2,2,1]
[2,1,3,5,4,7,8,6,9,11,12,10] => [1,3,3,4,1]
[2,1,3,5,4,7,6,9,10,8,12,11] => [1,3,2,3,2,1]
[2,1,3,5,4,7,6,9,8,11,12,10] => [1,3,2,2,3,1]
[2,1,3,5,4,7,6,8,10,11,12,9] => [1,3,2,5,1]
[2,1,3,5,4,6,8,9,10,7,12,11] => [1,3,5,2,1]
[2,1,3,5,4,6,8,9,7,11,12,10] => [1,3,4,3,1]
[2,1,3,5,4,6,8,7,10,11,12,9] => [1,3,3,4,1]
[2,1,3,5,4,6,7,9,10,11,12,8] => [1,3,7,1]
[2,1,3,4,6,7,8,5,10,9,12,11] => [1,6,2,2,1]
[2,1,3,4,6,7,8,5,9,11,12,10] => [1,6,4,1]
[2,1,3,4,6,7,5,9,10,8,12,11] => [1,5,3,2,1]
[2,1,3,4,6,7,5,9,8,11,12,10] => [1,5,2,3,1]
[2,1,3,4,6,7,5,8,10,11,12,9] => [1,5,5,1]
[2,1,3,4,6,5,8,9,10,7,12,11] => [1,4,4,2,1]
[2,1,3,4,6,5,8,9,7,11,12,10] => [1,4,3,3,1]
[2,1,3,4,6,5,8,7,10,11,12,9] => [1,4,2,4,1]
[2,1,3,4,6,5,7,9,10,11,12,8] => [1,4,6,1]
[2,1,3,4,5,7,8,9,10,6,12,11] => [1,8,2,1]
[2,1,3,4,5,7,8,9,6,11,12,10] => [1,7,3,1]
[2,1,3,4,5,7,8,6,10,11,12,9] => [1,6,4,1]
[2,1,3,4,5,7,6,9,10,11,12,8] => [1,5,5,1]
[2,1,3,4,5,6,8,9,10,11,12,7] => [1,10,1]
[1,3,4,2,6,5,8,7,10,9,12,11] => [3,2,2,2,2,1]
[1,3,4,2,6,5,8,7,9,11,12,10] => [3,2,2,4,1]
[1,3,4,2,6,5,7,9,10,8,12,11] => [3,2,4,2,1]
[1,3,4,2,6,5,7,9,8,11,12,10] => [3,2,3,3,1]
[1,3,4,2,6,5,7,8,10,11,12,9] => [3,2,6,1]
[1,3,4,2,5,7,8,6,10,9,12,11] => [3,4,2,2,1]
[1,3,4,2,5,7,8,6,9,11,12,10] => [3,4,4,1]
[1,3,4,2,5,7,6,9,10,8,12,11] => [3,3,3,2,1]
[1,3,4,2,5,7,6,9,8,11,12,10] => [3,3,2,3,1]
[1,3,4,2,5,7,6,8,10,11,12,9] => [3,3,5,1]
[1,3,4,2,5,6,8,9,10,7,12,11] => [3,6,2,1]
[1,3,4,2,5,6,8,9,7,11,12,10] => [3,5,3,1]
[1,3,4,2,5,6,8,7,10,11,12,9] => [3,4,4,1]
[1,3,4,2,5,6,7,9,10,11,12,8] => [3,8,1]
[1,3,2,5,6,4,8,7,10,9,12,11] => [2,3,2,2,2,1]
[1,3,2,5,6,4,8,7,9,11,12,10] => [2,3,2,4,1]
[1,3,2,5,6,4,7,9,10,8,12,11] => [2,3,4,2,1]
[1,3,2,5,6,4,7,9,8,11,12,10] => [2,3,3,3,1]
[1,3,2,5,6,4,7,8,10,11,12,9] => [2,3,6,1]
[1,3,2,5,4,7,8,6,10,9,12,11] => [2,2,3,2,2,1]
[1,3,2,5,4,7,8,6,9,11,12,10] => [2,2,3,4,1]
[1,3,2,5,4,7,6,9,10,8,12,11] => [2,2,2,3,2,1]
[1,3,2,5,4,7,6,9,8,11,12,10] => [2,2,2,2,3,1]
[1,3,2,5,4,7,6,8,10,11,12,9] => [2,2,2,5,1]
[1,3,2,5,4,6,8,9,10,7,12,11] => [2,2,5,2,1]
[1,3,2,5,4,6,8,9,7,11,12,10] => [2,2,4,3,1]
[1,3,2,5,4,6,8,7,10,11,12,9] => [2,2,3,4,1]
[1,3,2,5,4,6,7,9,10,11,12,8] => [2,2,7,1]
[1,3,2,4,6,7,8,5,10,9,12,11] => [2,5,2,2,1]
[1,3,2,4,6,7,8,5,9,11,12,10] => [2,5,4,1]
[1,3,2,4,6,7,5,9,10,8,12,11] => [2,4,3,2,1]
[1,3,2,4,6,7,5,9,8,11,12,10] => [2,4,2,3,1]
[1,3,2,4,6,7,5,8,10,11,12,9] => [2,4,5,1]
[1,3,2,4,6,5,8,9,10,7,12,11] => [2,3,4,2,1]
[1,3,2,4,6,5,8,9,7,11,12,10] => [2,3,3,3,1]
[1,3,2,4,6,5,8,7,10,11,12,9] => [2,3,2,4,1]
[1,3,2,4,6,5,7,9,10,11,12,8] => [2,3,6,1]
[1,3,2,4,5,7,8,9,10,6,12,11] => [2,7,2,1]
[1,3,2,4,5,7,8,9,6,11,12,10] => [2,6,3,1]
[1,3,2,4,5,7,8,6,10,11,12,9] => [2,5,4,1]
[1,3,2,4,5,7,6,9,10,11,12,8] => [2,4,5,1]
[1,3,2,4,5,6,8,9,10,11,12,7] => [2,9,1]
[1,2,4,5,6,3,8,7,10,9,12,11] => [5,2,2,2,1]
[1,2,4,5,6,3,8,7,9,11,12,10] => [5,2,4,1]
[1,2,4,5,6,3,7,9,10,8,12,11] => [5,4,2,1]
[1,2,4,5,6,3,7,9,8,11,12,10] => [5,3,3,1]
[1,2,4,5,6,3,7,8,10,11,12,9] => [5,6,1]
[1,2,4,5,3,7,8,6,10,9,12,11] => [4,3,2,2,1]
[1,2,4,5,3,7,8,6,9,11,12,10] => [4,3,4,1]
[1,2,4,5,3,7,6,9,10,8,12,11] => [4,2,3,2,1]
[1,2,4,5,3,7,6,9,8,11,12,10] => [4,2,2,3,1]
[1,2,4,5,3,7,6,8,10,11,12,9] => [4,2,5,1]
[1,2,4,5,3,6,8,9,10,7,12,11] => [4,5,2,1]
[1,2,4,5,3,6,8,9,7,11,12,10] => [4,4,3,1]
[1,2,4,5,3,6,8,7,10,11,12,9] => [4,3,4,1]
[1,2,4,5,3,6,7,9,10,11,12,8] => [4,7,1]
[1,2,4,3,6,7,8,5,10,9,12,11] => [3,4,2,2,1]
[1,2,4,3,6,7,8,5,9,11,12,10] => [3,4,4,1]
[1,2,4,3,6,7,5,9,10,8,12,11] => [3,3,3,2,1]
[1,2,4,3,6,7,5,9,8,11,12,10] => [3,3,2,3,1]
[1,2,4,3,6,7,5,8,10,11,12,9] => [3,3,5,1]
[1,2,4,3,6,5,8,9,10,7,12,11] => [3,2,4,2,1]
[1,2,4,3,6,5,8,9,7,11,12,10] => [3,2,3,3,1]
[1,2,4,3,6,5,8,7,10,11,12,9] => [3,2,2,4,1]
[1,2,4,3,6,5,7,9,10,11,12,8] => [3,2,6,1]
[1,2,4,3,5,7,8,9,10,6,12,11] => [3,6,2,1]
[1,2,4,3,5,7,8,9,6,11,12,10] => [3,5,3,1]
[1,2,4,3,5,7,8,6,10,11,12,9] => [3,4,4,1]
[1,2,4,3,5,7,6,9,10,11,12,8] => [3,3,5,1]
[1,2,4,3,5,6,8,9,10,11,12,7] => [3,8,1]
[1,2,3,5,6,7,8,4,10,9,12,11] => [7,2,2,1]
[1,2,3,5,6,7,8,4,9,11,12,10] => [7,4,1]
[1,2,3,5,6,7,4,9,10,8,12,11] => [6,3,2,1]
[1,2,3,5,6,7,4,9,8,11,12,10] => [6,2,3,1]
[1,2,3,5,6,7,4,8,10,11,12,9] => [6,5,1]
[1,2,3,5,6,4,8,9,10,7,12,11] => [5,4,2,1]
[1,2,3,5,6,4,8,9,7,11,12,10] => [5,3,3,1]
[1,2,3,5,6,4,8,7,10,11,12,9] => [5,2,4,1]
[1,2,3,5,6,4,7,9,10,11,12,8] => [5,6,1]
[1,2,3,5,4,7,8,9,10,6,12,11] => [4,5,2,1]
[1,2,3,5,4,7,8,9,6,11,12,10] => [4,4,3,1]
[1,2,3,5,4,7,8,6,10,11,12,9] => [4,3,4,1]
[1,2,3,5,4,7,6,9,10,11,12,8] => [4,2,5,1]
[1,2,3,5,4,6,8,9,10,11,12,7] => [4,7,1]
[1,2,3,4,6,7,8,9,10,5,12,11] => [9,2,1]
[1,2,3,4,6,7,8,9,5,11,12,10] => [8,3,1]
[1,2,3,4,6,7,8,5,10,11,12,9] => [7,4,1]
[1,2,3,4,6,7,5,9,10,11,12,8] => [6,5,1]
[1,2,3,4,6,5,8,9,10,11,12,7] => [5,6,1]
[1,2,3,4,5,7,8,9,10,11,12,6] => [11,1]
[12,1,2,3,4,5,6,7,8,11,9,10] => [1,9,2]
[12,11,1,2,3,4,5,6,7,8,9,10] => [1,1,10]
[12,2,1,3,4,5,6,7,8,9,10,11] => [1,1,10]
[2,1,4,3,6,5,12,11,9,10,8,7] => [1,2,2,2,1,2,1,1]
[2,1,4,3,10,9,7,8,6,5,12,11] => [1,2,2,1,2,1,2,1]
[2,1,4,3,12,9,7,11,6,10,8,5] => [1,2,2,1,2,2,1,1]
[2,1,4,3,12,11,7,10,9,8,6,5] => [1,2,2,1,2,1,1,1,1]
[2,1,4,3,12,9,11,8,6,10,7,5] => [1,2,2,2,1,2,1,1]
[2,1,4,3,12,11,10,8,9,7,6,5] => [1,2,2,1,1,2,1,1,1]
[2,1,6,5,4,3,12,11,9,10,8,7] => [1,2,1,1,2,1,2,1,1]
[2,1,8,7,5,6,4,3,10,9,12,11] => [1,2,1,2,1,2,2,1]
[2,1,8,7,5,6,4,3,12,11,10,9] => [1,2,1,2,1,2,1,1,1]
[2,1,10,7,5,9,4,8,6,3,12,11] => [1,2,1,2,2,1,2,1]
[2,1,12,7,5,9,4,11,6,10,8,3] => [1,2,1,2,2,2,1,1]
[2,1,12,7,5,11,4,10,9,8,6,3] => [1,2,1,2,2,1,1,1,1]
[2,1,10,9,5,8,7,6,4,3,12,11] => [1,2,1,2,1,1,1,2,1]
[2,1,12,9,5,8,11,6,4,10,7,3] => [1,2,1,3,1,2,1,1]
[2,1,12,11,5,10,8,7,9,6,4,3] => [1,2,1,2,1,2,1,1,1]
[2,1,12,11,5,10,9,8,7,6,4,3] => [1,2,1,2,1,1,1,1,1,1]
[2,1,10,7,9,6,4,8,5,3,12,11] => [1,2,2,1,2,1,2,1]
[2,1,12,7,9,6,4,11,5,10,8,3] => [1,2,2,1,2,2,1,1]
[2,1,12,7,11,6,4,10,9,8,5,3] => [1,2,2,1,2,1,1,1,1]
[2,1,10,9,8,6,7,5,4,3,12,11] => [1,2,1,1,2,1,1,2,1]
[2,1,12,9,8,6,11,5,4,10,7,3] => [1,2,1,1,2,1,2,1,1]
[2,1,12,11,10,8,7,6,9,5,4,3] => [1,2,1,1,1,1,2,1,1,1]
[2,1,12,11,10,9,7,8,6,5,4,3] => [1,2,1,1,1,2,1,1,1,1]
[2,1,12,9,8,11,7,5,4,10,6,3] => [1,2,1,2,1,1,2,1,1]
[4,3,2,1,6,5,12,11,9,10,8,7] => [1,1,1,2,2,1,2,1,1]
[4,3,2,1,10,9,7,8,6,5,12,11] => [1,1,1,2,1,2,1,2,1]
[4,3,2,1,12,9,7,11,6,10,8,5] => [1,1,1,2,1,2,2,1,1]
[4,3,2,1,12,11,7,10,9,8,6,5] => [1,1,1,2,1,2,1,1,1,1]
[4,3,2,1,12,9,11,8,6,10,7,5] => [1,1,1,2,2,1,2,1,1]
[4,3,2,1,12,11,10,8,9,7,6,5] => [1,1,1,2,1,1,2,1,1,1]
[6,5,3,4,2,1,8,7,10,9,12,11] => [1,1,2,1,2,2,2,1]
[6,5,3,4,2,1,8,7,12,11,10,9] => [1,1,2,1,2,2,1,1,1]
[6,5,3,4,2,1,10,9,8,7,12,11] => [1,1,2,1,2,1,1,2,1]
[6,5,3,4,2,1,12,11,9,10,8,7] => [1,1,2,1,2,1,2,1,1]
[6,5,3,4,2,1,12,11,10,9,8,7] => [1,1,2,1,2,1,1,1,1,1]
[8,5,3,7,2,6,4,1,10,9,12,11] => [1,1,2,2,1,2,2,1]
[8,5,3,7,2,6,4,1,12,11,10,9] => [1,1,2,2,1,2,1,1,1]
[10,5,3,7,2,9,4,8,6,1,12,11] => [1,1,2,2,2,1,2,1]
[12,5,3,7,2,9,4,11,6,10,8,1] => [1,1,2,2,2,2,1,1]
[12,5,3,7,2,11,4,10,9,8,6,1] => [1,1,2,2,2,1,1,1,1]
[10,5,3,9,2,8,7,6,4,1,12,11] => [1,1,2,2,1,1,1,2,1]
[12,5,3,9,2,8,11,6,4,10,7,1] => [1,1,2,3,1,2,1,1]
[12,5,3,11,2,10,8,7,9,6,4,1] => [1,1,2,2,1,2,1,1,1]
[12,5,3,11,2,10,9,8,7,6,4,1] => [1,1,2,2,1,1,1,1,1,1]
[8,7,3,6,5,4,2,1,10,9,12,11] => [1,1,2,1,1,1,2,2,1]
[8,7,3,6,5,4,2,1,12,11,10,9] => [1,1,2,1,1,1,2,1,1,1]
[10,7,3,6,9,4,2,8,5,1,12,11] => [1,1,3,1,2,1,2,1]
[12,7,3,6,9,4,2,11,5,10,8,1] => [1,1,3,1,2,2,1,1]
[12,7,3,6,11,4,2,10,9,8,5,1] => [1,1,3,1,2,1,1,1,1]
[10,9,3,8,6,5,7,4,2,1,12,11] => [1,1,2,1,2,1,1,2,1]
[12,9,3,8,6,5,11,4,2,10,7,1] => [1,1,2,1,2,1,2,1,1]
[12,11,3,8,10,6,7,4,9,5,2,1] => [1,1,3,2,2,1,1,1]
[12,11,3,10,9,6,7,8,5,4,2,1] => [1,1,2,1,3,1,1,1,1]
[10,9,3,8,7,6,5,4,2,1,12,11] => [1,1,2,1,1,1,1,1,2,1]
[12,9,3,8,7,11,5,4,2,10,6,1] => [1,1,2,2,1,1,2,1,1]
[12,11,3,8,10,7,6,4,9,5,2,1] => [1,1,3,1,1,2,1,1,1]
[12,11,3,10,9,7,6,8,5,4,2,1] => [1,1,2,1,1,2,1,1,1,1]
[12,11,3,10,9,8,7,6,5,4,2,1] => [1,1,2,1,1,1,1,1,1,1,1]
[6,5,4,3,2,1,12,11,9,10,8,7] => [1,1,1,1,1,2,1,2,1,1]
[8,5,7,4,2,6,3,1,10,9,12,11] => [1,2,1,2,1,2,2,1]
[8,5,7,4,2,6,3,1,12,11,10,9] => [1,2,1,2,1,2,1,1,1]
[10,5,7,4,2,9,3,8,6,1,12,11] => [1,2,1,2,2,1,2,1]
[12,5,7,4,2,9,3,11,6,10,8,1] => [1,2,1,2,2,2,1,1]
[12,5,7,4,2,11,3,10,9,8,6,1] => [1,2,1,2,2,1,1,1,1]
[10,5,9,4,2,8,7,6,3,1,12,11] => [1,2,1,2,1,1,1,2,1]
[12,5,9,4,2,8,11,6,3,10,7,1] => [1,2,1,3,1,2,1,1]
[12,5,11,4,2,10,8,7,9,6,3,1] => [1,2,1,2,1,2,1,1,1]
[12,5,11,4,2,10,9,8,7,6,3,1] => [1,2,1,2,1,1,1,1,1,1]
[8,7,6,4,5,3,2,1,10,9,12,11] => [1,1,1,2,1,1,2,2,1]
[8,7,6,4,5,3,2,1,12,11,10,9] => [1,1,1,2,1,1,2,1,1,1]
[10,7,6,4,9,3,2,8,5,1,12,11] => [1,1,1,2,1,2,1,2,1]
[12,7,6,4,9,3,2,11,5,10,8,1] => [1,1,1,2,1,2,2,1,1]
[12,7,6,4,11,3,2,10,9,8,5,1] => [1,1,1,2,1,2,1,1,1,1]
[10,9,8,6,5,4,7,3,2,1,12,11] => [1,1,1,1,1,2,1,1,2,1]
[12,9,8,6,5,4,11,3,2,10,7,1] => [1,1,1,1,1,2,1,2,1,1]
[12,11,8,6,10,4,7,3,9,5,2,1] => [1,1,1,2,2,2,1,1,1]
[12,11,10,6,9,4,7,8,5,3,2,1] => [1,1,1,2,3,1,1,1,1]
[10,9,8,7,5,6,4,3,2,1,12,11] => [1,1,1,1,2,1,1,1,2,1]
[12,9,8,7,5,11,4,3,2,10,6,1] => [1,1,1,1,2,1,1,2,1,1]
[12,11,8,7,10,6,4,3,9,5,2,1] => [1,1,1,2,1,1,2,1,1,1]
[12,11,10,9,7,6,5,8,4,3,2,1] => [1,1,1,1,1,1,2,1,1,1,1]
[12,11,10,9,8,6,7,5,4,3,2,1] => [1,1,1,1,1,2,1,1,1,1,1]
[10,7,6,9,5,3,2,8,4,1,12,11] => [1,1,2,1,1,2,1,2,1]
[12,7,6,9,5,3,2,11,4,10,8,1] => [1,1,2,1,1,2,2,1,1]
[12,7,6,11,5,3,2,10,9,8,4,1] => [1,1,2,1,1,2,1,1,1,1]
[12,11,8,10,6,5,7,3,9,4,2,1] => [1,1,2,1,2,2,1,1,1]
[12,11,10,9,6,5,7,8,4,3,2,1] => [1,1,1,1,1,3,1,1,1,1]
[12,11,8,10,7,6,5,3,9,4,2,1] => [1,1,2,1,1,1,2,1,1,1]
[12,9,8,7,11,6,4,3,2,10,5,1] => [1,1,1,2,1,1,1,2,1,1]
[6,12,5,11,4,10,3,9,2,1,8,7] => [2,2,2,2,1,2,1]
[6,12,5,11,4,10,3,2,9,8,1,7] => [2,2,2,1,2,1,2]
[6,12,5,11,4,10,3,2,9,1,8,7] => [2,2,2,1,2,2,1]
[6,12,5,11,4,10,3,2,1,9,8,7] => [2,2,2,1,1,2,1,1]
[6,12,5,11,4,3,10,9,2,8,1,7] => [2,2,1,2,1,2,2]
[6,12,5,11,4,3,10,9,2,1,8,7] => [2,2,1,2,1,1,2,1]
[6,12,5,11,4,3,10,2,9,8,1,7] => [2,2,1,2,2,1,2]
[6,12,5,11,4,3,10,2,9,1,8,7] => [2,2,1,2,2,2,1]
[6,12,5,11,4,3,10,2,1,9,8,7] => [2,2,1,2,1,2,1,1]
[6,12,5,11,4,3,2,10,9,8,1,7] => [2,2,1,1,2,1,1,2]
[6,12,5,11,4,3,2,10,9,1,8,7] => [2,2,1,1,2,1,2,1]
[6,12,5,11,4,3,2,10,1,9,8,7] => [2,2,1,1,2,2,1,1]
[6,12,5,11,4,3,2,1,10,9,8,7] => [2,2,1,1,1,2,1,1,1]
[6,12,5,4,11,10,3,9,2,8,1,7] => [2,1,2,1,2,2,2]
[6,12,5,4,11,10,3,9,2,1,8,7] => [2,1,2,1,2,1,2,1]
[6,12,5,4,11,10,3,2,9,8,1,7] => [2,1,2,1,1,2,1,2]
[6,12,5,4,11,10,3,2,9,1,8,7] => [2,1,2,1,1,2,2,1]
[6,12,5,4,11,10,3,2,1,9,8,7] => [2,1,2,1,1,1,2,1,1]
[6,12,5,4,11,3,10,9,2,8,1,7] => [2,1,2,2,1,2,2]
[6,12,5,4,11,3,10,9,2,1,8,7] => [2,1,2,2,1,1,2,1]
[6,12,5,4,11,3,10,2,9,8,1,7] => [2,1,2,2,2,1,2]
[6,12,5,4,11,3,10,2,9,1,8,7] => [2,1,2,2,2,2,1]
[6,12,5,4,11,3,10,2,1,9,8,7] => [2,1,2,2,1,2,1,1]
[6,12,5,4,11,3,2,10,9,8,1,7] => [2,1,2,1,2,1,1,2]
[6,12,5,4,11,3,2,10,9,1,8,7] => [2,1,2,1,2,1,2,1]
[6,12,5,4,11,3,2,10,1,9,8,7] => [2,1,2,1,2,2,1,1]
[6,12,5,4,11,3,2,1,10,9,8,7] => [2,1,2,1,1,2,1,1,1]
[6,12,5,4,3,11,10,9,2,8,1,7] => [2,1,1,2,1,1,2,2]
[6,12,5,4,3,11,10,9,2,1,8,7] => [2,1,1,2,1,1,1,2,1]
[6,12,5,4,3,11,10,2,9,8,1,7] => [2,1,1,2,1,2,1,2]
[6,12,5,4,3,11,10,2,9,1,8,7] => [2,1,1,2,1,2,2,1]
[6,12,5,4,3,11,10,2,1,9,8,7] => [2,1,1,2,1,1,2,1,1]
[6,12,5,4,3,11,2,10,9,8,1,7] => [2,1,1,2,2,1,1,2]
[6,12,5,4,3,11,2,10,9,1,8,7] => [2,1,1,2,2,1,2,1]
[6,12,5,4,3,11,2,10,1,9,8,7] => [2,1,1,2,2,2,1,1]
[6,12,5,4,3,11,2,1,10,9,8,7] => [2,1,1,2,1,2,1,1,1]
[6,12,5,4,3,2,11,10,9,8,1,7] => [2,1,1,1,2,1,1,1,2]
[6,12,5,4,3,2,11,10,9,1,8,7] => [2,1,1,1,2,1,1,2,1]
[6,12,5,4,3,2,11,10,1,9,8,7] => [2,1,1,1,2,1,2,1,1]
[6,12,5,4,3,2,11,1,10,9,8,7] => [2,1,1,1,2,2,1,1,1]
[6,12,5,4,3,2,1,11,10,9,8,7] => [2,1,1,1,1,2,1,1,1,1]
[6,5,12,11,4,10,3,9,2,8,1,7] => [1,2,1,2,2,2,2]
[6,5,12,11,4,10,3,9,2,1,8,7] => [1,2,1,2,2,1,2,1]
[6,5,12,11,4,10,3,2,9,8,1,7] => [1,2,1,2,1,2,1,2]
[6,5,12,11,4,10,3,2,9,1,8,7] => [1,2,1,2,1,2,2,1]
[6,5,12,11,4,10,3,2,1,9,8,7] => [1,2,1,2,1,1,2,1,1]
[6,5,12,11,4,3,10,9,2,8,1,7] => [1,2,1,1,2,1,2,2]
[6,5,12,11,4,3,10,9,2,1,8,7] => [1,2,1,1,2,1,1,2,1]
[6,5,12,11,4,3,10,2,9,8,1,7] => [1,2,1,1,2,2,1,2]
[6,5,12,11,4,3,10,2,9,1,8,7] => [1,2,1,1,2,2,2,1]
[6,5,12,11,4,3,10,2,1,9,8,7] => [1,2,1,1,2,1,2,1,1]
[6,5,12,11,4,3,2,10,9,8,1,7] => [1,2,1,1,1,2,1,1,2]
[6,5,12,11,4,3,2,10,9,1,8,7] => [1,2,1,1,1,2,1,2,1]
[6,5,12,11,4,3,2,10,1,9,8,7] => [1,2,1,1,1,2,2,1,1]
[6,5,12,11,4,3,2,1,10,9,8,7] => [1,2,1,1,1,1,2,1,1,1]
[6,5,12,4,11,10,3,9,2,8,1,7] => [1,2,2,1,2,2,2]
[6,5,12,4,11,10,3,9,2,1,8,7] => [1,2,2,1,2,1,2,1]
[6,5,12,4,11,10,3,2,9,8,1,7] => [1,2,2,1,1,2,1,2]
[6,5,12,4,11,10,3,2,9,1,8,7] => [1,2,2,1,1,2,2,1]
[6,5,12,4,11,10,3,2,1,9,8,7] => [1,2,2,1,1,1,2,1,1]
[6,5,12,4,11,3,10,9,2,8,1,7] => [1,2,2,2,1,2,2]
[6,5,12,4,11,3,10,9,2,1,8,7] => [1,2,2,2,1,1,2,1]
[6,5,12,4,11,3,10,2,9,8,1,7] => [1,2,2,2,2,1,2]
[6,5,12,4,11,3,10,2,9,1,8,7] => [1,2,2,2,2,2,1]
[6,5,12,4,11,3,10,2,1,9,8,7] => [1,2,2,2,1,2,1,1]
[6,5,12,4,11,3,2,10,9,8,1,7] => [1,2,2,1,2,1,1,2]
[6,5,12,4,11,3,2,10,9,1,8,7] => [1,2,2,1,2,1,2,1]
[6,5,12,4,11,3,2,10,1,9,8,7] => [1,2,2,1,2,2,1,1]
[6,5,12,4,11,3,2,1,10,9,8,7] => [1,2,2,1,1,2,1,1,1]
[6,5,12,4,3,11,10,9,2,8,1,7] => [1,2,1,2,1,1,2,2]
[6,5,12,4,3,11,10,9,2,1,8,7] => [1,2,1,2,1,1,1,2,1]
[6,5,12,4,3,11,10,2,9,8,1,7] => [1,2,1,2,1,2,1,2]
[6,5,12,4,3,11,10,2,9,1,8,7] => [1,2,1,2,1,2,2,1]
[6,5,12,4,3,11,10,2,1,9,8,7] => [1,2,1,2,1,1,2,1,1]
[6,5,12,4,3,11,2,10,9,8,1,7] => [1,2,1,2,2,1,1,2]
[6,5,12,4,3,11,2,10,9,1,8,7] => [1,2,1,2,2,1,2,1]
[6,5,12,4,3,11,2,10,1,9,8,7] => [1,2,1,2,2,2,1,1]
[6,5,12,4,3,11,2,1,10,9,8,7] => [1,2,1,2,1,2,1,1,1]
[6,5,12,4,3,2,11,10,9,8,1,7] => [1,2,1,1,2,1,1,1,2]
[6,5,12,4,3,2,11,10,9,1,8,7] => [1,2,1,1,2,1,1,2,1]
[6,5,12,4,3,2,11,10,1,9,8,7] => [1,2,1,1,2,1,2,1,1]
[6,5,12,4,3,2,11,1,10,9,8,7] => [1,2,1,1,2,2,1,1,1]
[6,5,12,4,3,2,1,11,10,9,8,7] => [1,2,1,1,1,2,1,1,1,1]
[6,5,4,12,11,10,3,9,2,8,1,7] => [1,1,2,1,1,2,2,2]
[6,5,4,12,11,10,3,9,2,1,8,7] => [1,1,2,1,1,2,1,2,1]
[6,5,4,12,11,10,3,2,9,8,1,7] => [1,1,2,1,1,1,2,1,2]
[6,5,4,12,11,10,3,2,9,1,8,7] => [1,1,2,1,1,1,2,2,1]
[6,5,4,12,11,10,3,2,1,9,8,7] => [1,1,2,1,1,1,1,2,1,1]
[6,5,4,12,11,3,10,9,2,8,1,7] => [1,1,2,1,2,1,2,2]
[6,5,4,12,11,3,10,9,2,1,8,7] => [1,1,2,1,2,1,1,2,1]
[6,5,4,12,11,3,10,2,9,8,1,7] => [1,1,2,1,2,2,1,2]
[6,5,4,12,11,3,10,2,9,1,8,7] => [1,1,2,1,2,2,2,1]
[6,5,4,12,11,3,10,2,1,9,8,7] => [1,1,2,1,2,1,2,1,1]
[6,5,4,12,11,3,2,10,9,8,1,7] => [1,1,2,1,1,2,1,1,2]
[6,5,4,12,11,3,2,10,9,1,8,7] => [1,1,2,1,1,2,1,2,1]
[6,5,4,12,11,3,2,10,1,9,8,7] => [1,1,2,1,1,2,2,1,1]
[6,5,4,12,11,3,2,1,10,9,8,7] => [1,1,2,1,1,1,2,1,1,1]
[6,5,4,12,3,11,10,9,2,8,1,7] => [1,1,2,2,1,1,2,2]
[6,5,4,12,3,11,10,9,2,1,8,7] => [1,1,2,2,1,1,1,2,1]
[6,5,4,12,3,11,10,2,9,8,1,7] => [1,1,2,2,1,2,1,2]
[6,5,4,12,3,11,10,2,9,1,8,7] => [1,1,2,2,1,2,2,1]
[6,5,4,12,3,11,10,2,1,9,8,7] => [1,1,2,2,1,1,2,1,1]
[6,5,4,12,3,11,2,10,9,8,1,7] => [1,1,2,2,2,1,1,2]
[6,5,4,12,3,11,2,10,9,1,8,7] => [1,1,2,2,2,1,2,1]
[6,5,4,12,3,11,2,10,1,9,8,7] => [1,1,2,2,2,2,1,1]
[6,5,4,12,3,11,2,1,10,9,8,7] => [1,1,2,2,1,2,1,1,1]
[6,5,4,12,3,2,11,10,9,8,1,7] => [1,1,2,1,2,1,1,1,2]
[6,5,4,12,3,2,11,10,9,1,8,7] => [1,1,2,1,2,1,1,2,1]
[6,5,4,12,3,2,11,10,1,9,8,7] => [1,1,2,1,2,1,2,1,1]
[6,5,4,12,3,2,11,1,10,9,8,7] => [1,1,2,1,2,2,1,1,1]
[6,5,4,12,3,2,1,11,10,9,8,7] => [1,1,2,1,1,2,1,1,1,1]
[6,5,4,3,12,11,10,9,2,8,1,7] => [1,1,1,2,1,1,1,2,2]
[6,5,4,3,12,11,10,9,2,1,8,7] => [1,1,1,2,1,1,1,1,2,1]
[6,5,4,3,12,11,10,2,9,8,1,7] => [1,1,1,2,1,1,2,1,2]
[6,5,4,3,12,11,10,2,9,1,8,7] => [1,1,1,2,1,1,2,2,1]
[6,5,4,3,12,11,10,2,1,9,8,7] => [1,1,1,2,1,1,1,2,1,1]
[6,5,4,3,12,11,2,10,9,8,1,7] => [1,1,1,2,1,2,1,1,2]
[6,5,4,3,12,11,2,10,9,1,8,7] => [1,1,1,2,1,2,1,2,1]
[6,5,4,3,12,11,2,10,1,9,8,7] => [1,1,1,2,1,2,2,1,1]
[6,5,4,3,12,11,2,1,10,9,8,7] => [1,1,1,2,1,1,2,1,1,1]
[6,5,4,3,12,2,11,10,9,8,1,7] => [1,1,1,2,2,1,1,1,2]
[6,5,4,3,12,2,11,10,9,1,8,7] => [1,1,1,2,2,1,1,2,1]
[6,5,4,3,12,2,11,10,1,9,8,7] => [1,1,1,2,2,1,2,1,1]
[6,5,4,3,12,2,11,1,10,9,8,7] => [1,1,1,2,2,2,1,1,1]
[6,5,4,3,12,2,1,11,10,9,8,7] => [1,1,1,2,1,2,1,1,1,1]
[6,5,4,3,2,12,11,10,9,8,1,7] => [1,1,1,1,2,1,1,1,1,2]
[6,5,4,3,2,12,11,10,9,1,8,7] => [1,1,1,1,2,1,1,1,2,1]
[6,5,4,3,2,12,11,10,1,9,8,7] => [1,1,1,1,2,1,1,2,1,1]
[6,5,4,3,2,12,11,1,10,9,8,7] => [1,1,1,1,2,1,2,1,1,1]
[6,5,4,3,2,12,1,11,10,9,8,7] => [1,1,1,1,2,2,1,1,1,1]
[3,5,7,9,11,1,4,6,8,10,12,2] => [5,6,1]
[3,5,7,9,12,1,4,6,8,10,11,2] => [5,6,1]
[3,5,7,10,11,1,4,6,8,9,12,2] => [5,6,1]
[3,5,7,10,12,1,4,6,8,9,11,2] => [5,6,1]
[3,5,7,11,12,1,4,6,8,9,10,2] => [5,6,1]
[3,5,8,9,11,1,4,6,7,10,12,2] => [5,6,1]
[3,5,8,9,12,1,4,6,7,10,11,2] => [5,6,1]
[3,5,8,10,11,1,4,6,7,9,12,2] => [5,6,1]
[3,5,8,10,12,1,4,6,7,9,11,2] => [5,6,1]
[3,5,8,11,12,1,4,6,7,9,10,2] => [5,6,1]
[3,5,9,10,11,1,4,6,7,8,12,2] => [5,6,1]
[3,5,9,10,12,1,4,6,7,8,11,2] => [5,6,1]
[3,5,9,11,12,1,4,6,7,8,10,2] => [5,6,1]
[3,5,10,11,12,1,4,6,7,8,9,2] => [5,6,1]
[3,6,7,9,11,1,4,5,8,10,12,2] => [5,6,1]
[3,6,7,9,12,1,4,5,8,10,11,2] => [5,6,1]
[3,6,7,10,11,1,4,5,8,9,12,2] => [5,6,1]
[3,6,7,10,12,1,4,5,8,9,11,2] => [5,6,1]
[3,6,7,11,12,1,4,5,8,9,10,2] => [5,6,1]
[3,6,8,9,11,1,4,5,7,10,12,2] => [5,6,1]
[3,6,8,9,12,1,4,5,7,10,11,2] => [5,6,1]
[3,6,8,10,11,1,4,5,7,9,12,2] => [5,6,1]
[3,6,8,10,12,1,4,5,7,9,11,2] => [5,6,1]
[3,6,8,11,12,1,4,5,7,9,10,2] => [5,6,1]
[3,6,9,10,11,1,4,5,7,8,12,2] => [5,6,1]
[3,6,9,10,12,1,4,5,7,8,11,2] => [5,6,1]
[3,6,9,11,12,1,4,5,7,8,10,2] => [5,6,1]
[3,6,10,11,12,1,4,5,7,8,9,2] => [5,6,1]
[3,7,8,9,11,1,4,5,6,10,12,2] => [5,6,1]
[3,7,8,9,12,1,4,5,6,10,11,2] => [5,6,1]
[3,7,8,10,11,1,4,5,6,9,12,2] => [5,6,1]
[3,7,8,10,12,1,4,5,6,9,11,2] => [5,6,1]
[3,7,8,11,12,1,4,5,6,9,10,2] => [5,6,1]
[3,7,9,10,11,1,4,5,6,8,12,2] => [5,6,1]
[3,7,9,10,12,1,4,5,6,8,11,2] => [5,6,1]
[3,7,9,11,12,1,4,5,6,8,10,2] => [5,6,1]
[3,7,10,11,12,1,4,5,6,8,9,2] => [5,6,1]
[3,8,9,10,11,1,4,5,6,7,12,2] => [5,6,1]
[3,8,9,10,12,1,4,5,6,7,11,2] => [5,6,1]
[3,8,9,11,12,1,4,5,6,7,10,2] => [5,6,1]
[3,8,10,11,12,1,4,5,6,7,9,2] => [5,6,1]
[3,9,10,11,12,1,4,5,6,7,8,2] => [5,6,1]
[4,5,7,9,11,1,3,6,8,10,12,2] => [5,6,1]
[4,5,7,9,12,1,3,6,8,10,11,2] => [5,6,1]
[4,5,7,10,11,1,3,6,8,9,12,2] => [5,6,1]
[4,5,7,10,12,1,3,6,8,9,11,2] => [5,6,1]
[4,5,7,11,12,1,3,6,8,9,10,2] => [5,6,1]
[4,5,8,9,11,1,3,6,7,10,12,2] => [5,6,1]
[4,5,8,9,12,1,3,6,7,10,11,2] => [5,6,1]
[4,5,8,10,11,1,3,6,7,9,12,2] => [5,6,1]
[4,5,8,10,12,1,3,6,7,9,11,2] => [5,6,1]
[4,5,8,11,12,1,3,6,7,9,10,2] => [5,6,1]
[4,5,9,10,11,1,3,6,7,8,12,2] => [5,6,1]
[4,5,9,10,12,1,3,6,7,8,11,2] => [5,6,1]
[4,5,9,11,12,1,3,6,7,8,10,2] => [5,6,1]
[4,5,10,11,12,1,3,6,7,8,9,2] => [5,6,1]
[4,6,7,9,11,1,3,5,8,10,12,2] => [5,6,1]
[4,6,7,9,12,1,3,5,8,10,11,2] => [5,6,1]
[4,6,7,10,11,1,3,5,8,9,12,2] => [5,6,1]
[4,6,7,10,12,1,3,5,8,9,11,2] => [5,6,1]
[4,6,7,11,12,1,3,5,8,9,10,2] => [5,6,1]
[4,6,8,9,11,1,3,5,7,10,12,2] => [5,6,1]
[4,6,8,9,12,1,3,5,7,10,11,2] => [5,6,1]
[4,6,8,10,11,1,3,5,7,9,12,2] => [5,6,1]
[4,6,8,10,12,1,3,5,7,9,11,2] => [5,6,1]
[4,6,8,11,12,1,3,5,7,9,10,2] => [5,6,1]
[4,6,9,10,11,1,3,5,7,8,12,2] => [5,6,1]
[4,6,9,10,12,1,3,5,7,8,11,2] => [5,6,1]
[4,6,9,11,12,1,3,5,7,8,10,2] => [5,6,1]
[4,6,10,11,12,1,3,5,7,8,9,2] => [5,6,1]
[4,7,8,9,11,1,3,5,6,10,12,2] => [5,6,1]
[4,7,8,9,12,1,3,5,6,10,11,2] => [5,6,1]
[4,7,8,10,11,1,3,5,6,9,12,2] => [5,6,1]
[4,7,8,10,12,1,3,5,6,9,11,2] => [5,6,1]
[4,7,8,11,12,1,3,5,6,9,10,2] => [5,6,1]
[4,7,9,10,11,1,3,5,6,8,12,2] => [5,6,1]
[4,7,9,10,12,1,3,5,6,8,11,2] => [5,6,1]
[4,7,9,11,12,1,3,5,6,8,10,2] => [5,6,1]
[4,7,10,11,12,1,3,5,6,8,9,2] => [5,6,1]
[4,8,9,10,11,1,3,5,6,7,12,2] => [5,6,1]
[4,8,9,10,12,1,3,5,6,7,11,2] => [5,6,1]
[4,8,9,11,12,1,3,5,6,7,10,2] => [5,6,1]
[4,8,10,11,12,1,3,5,6,7,9,2] => [5,6,1]
[4,9,10,11,12,1,3,5,6,7,8,2] => [5,6,1]
[5,6,7,9,11,1,3,4,8,10,12,2] => [5,6,1]
[5,6,7,9,12,1,3,4,8,10,11,2] => [5,6,1]
[5,6,7,10,11,1,3,4,8,9,12,2] => [5,6,1]
[5,6,7,10,12,1,3,4,8,9,11,2] => [5,6,1]
[5,6,7,11,12,1,3,4,8,9,10,2] => [5,6,1]
[5,6,8,9,11,1,3,4,7,10,12,2] => [5,6,1]
[5,6,8,9,12,1,3,4,7,10,11,2] => [5,6,1]
[5,6,8,10,11,1,3,4,7,9,12,2] => [5,6,1]
[5,6,8,10,12,1,3,4,7,9,11,2] => [5,6,1]
[5,6,8,11,12,1,3,4,7,9,10,2] => [5,6,1]
[5,6,9,10,11,1,3,4,7,8,12,2] => [5,6,1]
[5,6,9,10,12,1,3,4,7,8,11,2] => [5,6,1]
[5,6,9,11,12,1,3,4,7,8,10,2] => [5,6,1]
[5,6,10,11,12,1,3,4,7,8,9,2] => [5,6,1]
[5,7,8,9,11,1,3,4,6,10,12,2] => [5,6,1]
[5,7,8,9,12,1,3,4,6,10,11,2] => [5,6,1]
[5,7,8,10,11,1,3,4,6,9,12,2] => [5,6,1]
[5,7,8,10,12,1,3,4,6,9,11,2] => [5,6,1]
[5,7,8,11,12,1,3,4,6,9,10,2] => [5,6,1]
[5,7,9,10,11,1,3,4,6,8,12,2] => [5,6,1]
[5,7,9,10,12,1,3,4,6,8,11,2] => [5,6,1]
[5,7,9,11,12,1,3,4,6,8,10,2] => [5,6,1]
[5,7,10,11,12,1,3,4,6,8,9,2] => [5,6,1]
[5,8,9,10,11,1,3,4,6,7,12,2] => [5,6,1]
[5,8,9,10,12,1,3,4,6,7,11,2] => [5,6,1]
[5,8,9,11,12,1,3,4,6,7,10,2] => [5,6,1]
[5,8,10,11,12,1,3,4,6,7,9,2] => [5,6,1]
[5,9,10,11,12,1,3,4,6,7,8,2] => [5,6,1]
[6,7,8,9,11,1,3,4,5,10,12,2] => [5,6,1]
[6,7,8,9,12,1,3,4,5,10,11,2] => [5,6,1]
[6,7,8,10,11,1,3,4,5,9,12,2] => [5,6,1]
[6,7,8,10,12,1,3,4,5,9,11,2] => [5,6,1]
[6,7,8,11,12,1,3,4,5,9,10,2] => [5,6,1]
[6,7,9,10,11,1,3,4,5,8,12,2] => [5,6,1]
[6,7,9,10,12,1,3,4,5,8,11,2] => [5,6,1]
[6,7,9,11,12,1,3,4,5,8,10,2] => [5,6,1]
[6,7,10,11,12,1,3,4,5,8,9,2] => [5,6,1]
[6,8,9,10,11,1,3,4,5,7,12,2] => [5,6,1]
[6,8,9,10,12,1,3,4,5,7,11,2] => [5,6,1]
[6,8,9,11,12,1,3,4,5,7,10,2] => [5,6,1]
[6,8,10,11,12,1,3,4,5,7,9,2] => [5,6,1]
[6,9,10,11,12,1,3,4,5,7,8,2] => [5,6,1]
[7,8,9,10,11,1,3,4,5,6,12,2] => [5,6,1]
[7,8,9,10,12,1,3,4,5,6,11,2] => [5,6,1]
[7,8,9,11,12,1,3,4,5,6,10,2] => [5,6,1]
[7,8,10,11,12,1,3,4,5,6,9,2] => [5,6,1]
[7,9,10,11,12,1,3,4,5,6,8,2] => [5,6,1]
[8,9,10,11,12,1,3,4,5,6,7,2] => [5,6,1]
[2,1,4,3,6,5,8,7,12,9,11,10] => [1,2,2,2,2,2,1]
[2,1,4,3,6,5,10,7,9,8,12,11] => [1,2,2,2,2,2,1]
[2,1,4,3,6,5,12,11,9,7,8,10] => [1,2,2,2,1,1,3]
[2,1,4,3,6,5,12,7,8,10,11,9] => [1,2,2,2,4,1]
[2,1,4,3,8,5,7,6,10,9,12,11] => [1,2,2,2,2,2,1]
[2,1,4,3,8,5,7,6,12,9,11,10] => [1,2,2,2,2,2,1]
[2,1,4,3,10,9,7,5,6,8,12,11] => [1,2,2,1,1,4,1]
[2,1,4,3,12,9,7,11,6,5,8,10] => [1,2,2,1,2,1,3]
[2,1,4,3,12,10,7,5,8,6,11,9] => [1,2,2,1,1,2,2,1]
[2,1,4,3,10,5,6,8,9,7,12,11] => [1,2,2,4,2,1]
[2,1,4,3,12,11,6,8,9,5,7,10] => [1,2,2,1,3,3]
[2,1,4,3,12,5,11,8,6,10,7,9] => [1,2,2,2,1,2,2]
[2,1,4,3,12,5,6,7,9,10,11,8] => [1,2,2,6,1]
[2,1,6,3,5,4,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[2,1,6,3,5,4,8,7,12,9,11,10] => [1,2,2,2,2,2,1]
[2,1,6,3,5,4,10,7,9,8,12,11] => [1,2,2,2,2,2,1]
[2,1,6,3,5,4,12,11,9,7,8,10] => [1,2,2,2,1,1,3]
[2,1,6,3,5,4,12,7,8,10,11,9] => [1,2,2,2,4,1]
[2,1,8,7,5,3,4,6,10,9,12,11] => [1,2,1,1,4,2,1]
[2,1,8,7,5,3,4,6,12,9,11,10] => [1,2,1,1,4,2,1]
[2,1,10,7,5,9,4,3,6,8,12,11] => [1,2,1,2,1,4,1]
[2,1,12,7,5,9,4,11,6,3,8,10] => [1,2,1,2,2,1,3]
[2,1,12,7,5,10,4,3,8,6,11,9] => [1,2,1,2,1,2,2,1]
[2,1,10,8,5,3,6,4,9,7,12,11] => [1,2,1,1,2,2,2,1]
[2,1,12,8,5,11,6,4,9,3,7,10] => [1,2,1,2,1,2,3]
[2,1,12,8,5,3,11,4,6,10,7,9] => [1,2,1,1,2,3,2]
[2,1,12,9,5,3,6,7,4,10,11,8] => [1,2,1,1,3,3,1]
[2,1,8,3,4,6,7,5,10,9,12,11] => [1,2,4,2,2,1]
[2,1,8,3,4,6,7,5,12,9,11,10] => [1,2,4,2,2,1]
[2,1,10,9,4,6,7,3,5,8,12,11] => [1,2,1,3,4,1]
[2,1,12,9,4,6,7,11,5,3,8,10] => [1,2,1,4,1,3]
[2,1,12,10,4,6,7,3,8,5,11,9] => [1,2,1,3,2,2,1]
[2,1,10,3,9,6,4,8,5,7,12,11] => [1,2,2,1,2,3,1]
[2,1,12,11,9,6,4,8,5,3,7,10] => [1,2,1,1,1,2,1,3]
[2,1,12,3,10,6,11,8,4,5,7,9] => [1,2,2,2,1,4]
[2,1,12,3,10,6,4,7,9,5,11,8] => [1,2,2,1,3,2,1]
[2,1,10,3,4,5,7,8,9,6,12,11] => [1,2,6,2,1]
[2,1,12,11,4,5,7,8,9,3,6,10] => [1,2,1,5,3]
[2,1,12,3,11,5,7,8,4,10,6,9] => [1,2,2,3,2,2]
[2,1,12,3,4,11,7,5,9,10,6,8] => [1,2,3,1,3,2]
[2,1,12,3,4,5,6,8,9,10,11,7] => [1,2,8,1]
[4,1,3,2,6,5,8,7,10,9,12,11] => [1,2,2,2,2,2,1]
[4,1,3,2,6,5,8,7,12,9,11,10] => [1,2,2,2,2,2,1]
[4,1,3,2,6,5,10,7,9,8,12,11] => [1,2,2,2,2,2,1]
[4,1,3,2,6,5,12,11,9,7,8,10] => [1,2,2,2,1,1,3]
[4,1,3,2,6,5,12,7,8,10,11,9] => [1,2,2,2,4,1]
[4,1,3,2,8,5,7,6,10,9,12,11] => [1,2,2,2,2,2,1]
[4,1,3,2,8,5,7,6,12,9,11,10] => [1,2,2,2,2,2,1]
[4,1,3,2,10,9,7,5,6,8,12,11] => [1,2,2,1,1,4,1]
[4,1,3,2,12,9,7,11,6,5,8,10] => [1,2,2,1,2,1,3]
[4,1,3,2,12,10,7,5,8,6,11,9] => [1,2,2,1,1,2,2,1]
[4,1,3,2,10,5,6,8,9,7,12,11] => [1,2,2,4,2,1]
[4,1,3,2,12,11,6,8,9,5,7,10] => [1,2,2,1,3,3]
[4,1,3,2,12,5,11,8,6,10,7,9] => [1,2,2,2,1,2,2]
[4,1,3,2,12,5,6,7,9,10,11,8] => [1,2,2,6,1]
[6,5,3,1,2,4,8,7,10,9,12,11] => [1,1,1,4,2,2,1]
[6,5,3,1,2,4,8,7,12,9,11,10] => [1,1,1,4,2,2,1]
[6,5,3,1,2,4,10,7,9,8,12,11] => [1,1,1,4,2,2,1]
[6,5,3,1,2,4,12,11,9,7,8,10] => [1,1,1,4,1,1,3]
[6,5,3,1,2,4,12,7,8,10,11,9] => [1,1,1,4,4,1]
[8,5,3,7,2,1,4,6,10,9,12,11] => [1,1,2,1,4,2,1]
[8,5,3,7,2,1,4,6,12,9,11,10] => [1,1,2,1,4,2,1]
[10,5,3,7,2,9,4,1,6,8,12,11] => [1,1,2,2,1,4,1]
[12,5,3,7,2,9,4,11,6,1,8,10] => [1,1,2,2,2,1,3]
[12,5,3,7,2,10,4,1,8,6,11,9] => [1,1,2,2,1,2,2,1]
[10,5,3,8,2,1,6,4,9,7,12,11] => [1,1,2,1,2,2,2,1]
[12,5,3,8,2,11,6,4,9,1,7,10] => [1,1,2,2,1,2,3]
[12,5,3,8,2,1,11,4,6,10,7,9] => [1,1,2,1,2,3,2]
[12,5,3,9,2,1,6,7,4,10,11,8] => [1,1,2,1,3,3,1]
[8,6,3,1,4,2,7,5,10,9,12,11] => [1,1,1,2,2,2,2,1]
[8,6,3,1,4,2,7,5,12,9,11,10] => [1,1,1,2,2,2,2,1]
[10,6,3,9,4,2,7,1,5,8,12,11] => [1,1,2,1,2,4,1]
[12,6,3,9,4,2,7,11,5,1,8,10] => [1,1,2,1,3,1,3]
[12,6,3,10,4,2,7,1,8,5,11,9] => [1,1,2,1,2,2,2,1]
[10,6,3,1,9,2,4,8,5,7,12,11] => [1,1,1,2,3,3,1]
[12,6,3,11,9,2,4,8,5,1,7,10] => [1,1,2,1,3,1,3]
[12,6,3,1,10,2,11,8,4,5,7,9] => [1,1,1,2,2,1,4]
[12,6,3,1,10,2,4,7,9,5,11,8] => [1,1,1,2,4,2,1]
[10,7,3,1,4,5,2,8,9,6,12,11] => [1,1,1,3,3,2,1]
[12,7,3,11,4,5,2,8,9,1,6,10] => [1,1,2,2,3,3]
[12,7,3,1,11,5,2,8,4,10,6,9] => [1,1,1,2,1,2,2,2]
[12,7,3,1,4,11,2,5,9,10,6,8] => [1,1,1,3,4,2]
[12,8,3,1,4,5,6,2,9,10,11,7] => [1,1,1,4,4,1]
[6,1,2,4,5,3,8,7,10,9,12,11] => [1,4,2,2,2,1]
[6,1,2,4,5,3,8,7,12,9,11,10] => [1,4,2,2,2,1]
[6,1,2,4,5,3,10,7,9,8,12,11] => [1,4,2,2,2,1]
[6,1,2,4,5,3,12,11,9,7,8,10] => [1,4,2,1,1,3]
[6,1,2,4,5,3,12,7,8,10,11,9] => [1,4,2,4,1]
[8,7,2,4,5,1,3,6,10,9,12,11] => [1,1,3,4,2,1]
[8,7,2,4,5,1,3,6,12,9,11,10] => [1,1,3,4,2,1]
[10,7,2,4,5,9,3,1,6,8,12,11] => [1,1,4,1,4,1]
[12,7,2,4,5,9,3,11,6,1,8,10] => [1,1,4,2,1,3]
[12,7,2,4,5,10,3,1,8,6,11,9] => [1,1,4,1,2,2,1]
[10,8,2,4,5,1,6,3,9,7,12,11] => [1,1,3,2,2,2,1]
[12,8,2,4,5,11,6,3,9,1,7,10] => [1,1,4,1,2,3]
[12,8,2,4,5,1,11,3,6,10,7,9] => [1,1,3,2,3,2]
[12,9,2,4,5,1,6,7,3,10,11,8] => [1,1,3,3,3,1]
[8,1,7,4,2,6,3,5,10,9,12,11] => [1,2,1,2,3,2,1]
[8,1,7,4,2,6,3,5,12,9,11,10] => [1,2,1,2,3,2,1]
[10,9,7,4,2,6,3,1,5,8,12,11] => [1,1,1,1,2,1,4,1]
[12,9,7,4,2,6,3,11,5,1,8,10] => [1,1,1,1,2,2,1,3]
[12,10,7,4,2,6,3,1,8,5,11,9] => [1,1,1,1,2,1,2,2,1]
[10,1,8,4,9,6,2,3,5,7,12,11] => [1,2,2,1,5,1]
[12,11,8,4,9,6,2,3,5,1,7,10] => [1,1,1,2,1,3,3]
[12,1,8,4,10,6,11,3,2,5,7,9] => [1,2,2,2,1,4]
[12,1,9,4,10,6,2,7,3,5,11,8] => [1,2,2,1,2,3,1]
[10,1,8,4,2,5,7,3,9,6,12,11] => [1,2,1,3,2,2,1]
[12,11,8,4,2,5,7,3,9,1,6,10] => [1,1,1,1,3,2,3]
[12,1,8,4,11,5,7,3,2,10,6,9] => [1,2,2,2,1,2,2]
[12,1,9,4,2,11,7,5,3,10,6,8] => [1,2,1,2,1,1,2,2]
[12,1,9,4,2,5,6,8,3,10,11,7] => [1,2,1,4,3,1]
[8,1,2,3,5,6,7,4,10,9,12,11] => [1,6,2,2,1]
[8,1,2,3,5,6,7,4,12,9,11,10] => [1,6,2,2,1]
[10,9,2,3,5,6,7,1,4,8,12,11] => [1,1,5,4,1]
[12,9,2,3,5,6,7,11,4,1,8,10] => [1,1,6,1,3]
[12,10,2,3,5,6,7,1,8,4,11,9] => [1,1,5,2,2,1]
[10,1,9,3,5,6,2,8,4,7,12,11] => [1,2,3,2,3,1]
[12,11,9,3,5,6,2,8,4,1,7,10] => [1,1,1,3,2,1,3]
[12,1,10,3,5,6,11,8,2,4,7,9] => [1,2,4,1,4]
[12,1,10,3,5,6,2,7,9,4,11,8] => [1,2,3,3,2,1]
[10,1,2,9,5,3,7,8,4,6,12,11] => [1,3,1,3,3,1]
[12,11,2,9,5,3,7,8,4,1,6,10] => [1,1,2,1,3,1,3]
[12,1,11,10,5,3,7,8,2,4,6,9] => [1,2,1,1,3,4]
[12,1,2,10,5,11,7,3,9,4,6,8] => [1,3,2,1,2,3]
[12,1,2,10,5,3,6,8,9,4,11,7] => [1,3,1,4,2,1]
[10,1,2,3,4,6,7,8,9,5,12,11] => [1,8,2,1]
[12,11,2,3,4,6,7,8,9,1,5,10] => [1,1,7,3]
[12,1,11,3,4,6,7,8,2,10,5,9] => [1,2,5,2,2]
[12,1,2,11,4,6,7,3,9,10,5,8] => [1,3,3,3,2]
[12,1,2,3,11,6,4,8,9,10,5,7] => [1,4,1,4,2]
[2,1,4,3,12,11,7,9,8,10,6,5] => [1,2,2,1,2,2,1,1]
[2,1,4,3,12,11,9,8,7,10,6,5] => [1,2,2,1,1,1,2,1,1]
[2,1,10,9,5,7,6,8,4,3,12,11] => [1,2,1,2,2,1,2,1]
[2,1,12,11,5,7,6,9,8,10,4,3] => [1,2,1,2,2,2,1,1]
[2,1,12,11,5,7,6,10,9,8,4,3] => [1,2,1,2,2,1,1,1,1]
[2,1,12,11,5,9,8,7,6,10,4,3] => [1,2,1,2,1,1,2,1,1]
[2,1,10,9,7,6,5,8,4,3,12,11] => [1,2,1,1,1,2,1,2,1]
[2,1,12,11,7,6,5,9,8,10,4,3] => [1,2,1,1,1,2,2,1,1]
[2,1,12,11,7,6,5,10,9,8,4,3] => [1,2,1,1,1,2,1,1,1,1]
[2,1,12,11,9,8,7,6,5,10,4,3] => [1,2,1,1,1,1,1,2,1,1]
[4,3,2,1,12,11,7,9,8,10,6,5] => [1,1,1,2,1,2,2,1,1]
[4,3,2,1,12,11,9,8,7,10,6,5] => [1,1,1,2,1,1,1,2,1,1]
[8,7,3,5,4,6,2,1,10,9,12,11] => [1,1,2,2,1,2,2,1]
[8,7,3,5,4,6,2,1,12,11,10,9] => [1,1,2,2,1,2,1,1,1]
[10,9,3,5,4,7,6,8,2,1,12,11] => [1,1,2,2,2,1,2,1]
[12,11,3,5,4,7,6,9,8,10,2,1] => [1,1,2,2,2,2,1,1]
[12,11,3,5,4,7,6,10,9,8,2,1] => [1,1,2,2,2,1,1,1,1]
[10,9,3,5,4,8,7,6,2,1,12,11] => [1,1,2,2,1,1,1,2,1]
[12,11,3,5,4,9,8,7,6,10,2,1] => [1,1,2,2,1,1,2,1,1]
[12,11,3,5,4,10,9,8,7,6,2,1] => [1,1,2,2,1,1,1,1,1,1]
[10,9,3,7,6,5,4,8,2,1,12,11] => [1,1,2,1,1,2,1,2,1]
[12,11,3,7,6,5,4,9,8,10,2,1] => [1,1,2,1,1,2,2,1,1]
[12,11,3,7,6,5,4,10,9,8,2,1] => [1,1,2,1,1,2,1,1,1,1]
[12,11,3,9,8,6,7,5,4,10,2,1] => [1,1,2,1,2,1,2,1,1]
[12,11,3,10,9,6,8,7,5,4,2,1] => [1,1,2,1,2,1,1,1,1,1]
[12,11,3,9,8,7,6,5,4,10,2,1] => [1,1,2,1,1,1,1,2,1,1]
[8,7,5,4,3,6,2,1,10,9,12,11] => [1,1,1,1,2,1,2,2,1]
[8,7,5,4,3,6,2,1,12,11,10,9] => [1,1,1,1,2,1,2,1,1,1]
[10,9,5,4,3,7,6,8,2,1,12,11] => [1,1,1,1,2,2,1,2,1]
[12,11,5,4,3,7,6,9,8,10,2,1] => [1,1,1,1,2,2,2,1,1]
[12,11,5,4,3,7,6,10,9,8,2,1] => [1,1,1,1,2,2,1,1,1,1]
[10,9,5,4,3,8,7,6,2,1,12,11] => [1,1,1,1,2,1,1,1,2,1]
[12,11,5,4,3,9,8,7,6,10,2,1] => [1,1,1,1,2,1,1,2,1,1]
[12,11,5,4,3,10,9,8,7,6,2,1] => [1,1,1,1,2,1,1,1,1,1,1]
[10,9,7,6,5,4,3,8,2,1,12,11] => [1,1,1,1,1,1,2,1,2,1]
[12,11,7,6,5,4,3,9,8,10,2,1] => [1,1,1,1,1,1,2,2,1,1]
[12,11,7,6,5,4,3,10,9,8,2,1] => [1,1,1,1,1,1,2,1,1,1,1]
[12,11,9,8,6,5,7,4,3,10,2,1] => [1,1,1,1,1,2,1,2,1,1]
[12,11,9,8,7,6,5,4,3,10,2,1] => [1,1,1,1,1,1,1,1,2,1,1]
[2,1,4,3,6,5,8,7,12,9,10,11] => [1,2,2,2,2,3]
[2,1,4,3,6,5,10,7,8,9,12,11] => [1,2,2,2,4,1]
[2,1,4,3,6,5,12,11,8,7,10,9] => [1,2,2,2,1,1,2,1]
[2,1,4,3,6,5,12,7,8,9,10,11] => [1,2,2,2,5]
[2,1,4,3,8,5,6,7,10,9,12,11] => [1,2,2,4,2,1]
[2,1,4,3,8,5,6,7,12,9,10,11] => [1,2,2,4,3]
[2,1,4,3,10,9,6,5,8,7,12,11] => [1,2,2,1,1,2,2,1]
[2,1,4,3,12,9,6,11,8,5,10,7] => [1,2,2,1,2,1,2,1]
[2,1,4,3,12,11,6,5,8,9,10,7] => [1,2,2,1,1,4,1]
[2,1,4,3,10,5,6,7,8,9,12,11] => [1,2,2,6,1]
[2,1,4,3,12,11,6,7,8,5,10,9] => [1,2,2,1,3,2,1]
[2,1,4,3,12,5,10,7,6,9,8,11] => [1,2,2,2,1,2,2]
[2,1,4,3,12,5,6,7,8,9,10,11] => [1,2,2,7]
[2,1,6,3,4,5,8,7,10,9,12,11] => [1,2,4,2,2,1]
[2,1,6,3,4,5,8,7,12,9,10,11] => [1,2,4,2,3]
[2,1,6,3,4,5,10,7,8,9,12,11] => [1,2,4,4,1]
[2,1,6,3,4,5,12,11,8,7,10,9] => [1,2,4,1,1,2,1]
[2,1,6,3,4,5,12,7,8,9,10,11] => [1,2,4,5]
[2,1,8,7,4,3,6,5,10,9,12,11] => [1,2,1,1,2,2,2,1]
[2,1,8,7,4,3,6,5,12,9,10,11] => [1,2,1,1,2,2,3]
[2,1,10,7,4,9,6,3,8,5,12,11] => [1,2,1,2,1,2,2,1]
[2,1,12,7,4,9,6,11,8,3,10,5] => [1,2,1,2,2,1,2,1]
[2,1,12,7,4,11,6,3,8,9,10,5] => [1,2,1,2,1,4,1]
[2,1,10,9,4,3,6,7,8,5,12,11] => [1,2,1,1,4,2,1]
[2,1,12,9,4,11,6,7,8,3,10,5] => [1,2,1,2,3,2,1]
[2,1,12,11,4,3,10,7,6,9,8,5] => [1,2,1,1,2,1,2,1,1]
[2,1,12,11,4,3,6,7,8,9,10,5] => [1,2,1,1,6,1]
[2,1,8,3,4,5,6,7,10,9,12,11] => [1,2,6,2,1]
[2,1,8,3,4,5,6,7,12,9,10,11] => [1,2,6,3]
[2,1,10,9,4,5,6,3,8,7,12,11] => [1,2,1,3,2,2,1]
[2,1,12,9,4,5,6,11,8,3,10,7] => [1,2,1,4,1,2,1]
[2,1,12,11,4,5,6,3,8,9,10,7] => [1,2,1,3,4,1]
[2,1,10,3,8,5,4,7,6,9,12,11] => [1,2,2,1,2,3,1]
[2,1,12,11,8,5,4,7,6,3,10,9] => [1,2,1,1,1,2,1,2,1]
[2,1,12,3,8,5,10,7,4,9,6,11] => [1,2,2,2,1,2,2]
[2,1,12,3,10,5,4,7,8,9,6,11] => [1,2,2,1,4,2]
[2,1,10,3,4,5,6,7,8,9,12,11] => [1,2,8,1]
[2,1,12,11,4,5,6,7,8,3,10,9] => [1,2,1,5,2,1]
[2,1,12,3,10,5,6,7,4,9,8,11] => [1,2,2,3,2,2]
[2,1,12,3,4,9,6,5,8,7,10,11] => [1,2,3,1,2,3]
[2,1,12,3,4,5,6,7,8,9,10,11] => [1,2,9]
[4,1,2,3,6,5,8,7,10,9,12,11] => [1,4,2,2,2,1]
[4,1,2,3,6,5,8,7,12,9,10,11] => [1,4,2,2,3]
[4,1,2,3,6,5,10,7,8,9,12,11] => [1,4,2,4,1]
[4,1,2,3,6,5,12,11,8,7,10,9] => [1,4,2,1,1,2,1]
[4,1,2,3,6,5,12,7,8,9,10,11] => [1,4,2,5]
[4,1,2,3,8,5,6,7,10,9,12,11] => [1,4,4,2,1]
[4,1,2,3,8,5,6,7,12,9,10,11] => [1,4,4,3]
[4,1,2,3,10,9,6,5,8,7,12,11] => [1,4,1,1,2,2,1]
[4,1,2,3,12,9,6,11,8,5,10,7] => [1,4,1,2,1,2,1]
[4,1,2,3,12,11,6,5,8,9,10,7] => [1,4,1,1,4,1]
[4,1,2,3,10,5,6,7,8,9,12,11] => [1,4,6,1]
[4,1,2,3,12,11,6,7,8,5,10,9] => [1,4,1,3,2,1]
[4,1,2,3,12,5,10,7,6,9,8,11] => [1,4,2,1,2,2]
[4,1,2,3,12,5,6,7,8,9,10,11] => [1,4,7]
[6,5,2,1,4,3,8,7,10,9,12,11] => [1,1,1,2,2,2,2,1]
[6,5,2,1,4,3,8,7,12,9,10,11] => [1,1,1,2,2,2,3]
[6,5,2,1,4,3,10,7,8,9,12,11] => [1,1,1,2,2,4,1]
[6,5,2,1,4,3,12,7,8,9,10,11] => [1,1,1,2,2,5]
[8,5,2,7,4,1,6,3,10,9,12,11] => [1,1,2,1,2,2,2,1]
[8,5,2,7,4,1,6,3,12,9,10,11] => [1,1,2,1,2,2,3]
[10,5,2,7,4,9,6,1,8,3,12,11] => [1,1,2,2,1,2,2,1]
[12,5,2,7,4,9,6,11,8,1,10,3] => [1,1,2,2,2,1,2,1]
[12,5,2,7,4,11,6,1,8,9,10,3] => [1,1,2,2,1,4,1]
[10,5,2,9,4,1,6,7,8,3,12,11] => [1,1,2,1,4,2,1]
[12,5,2,9,4,11,6,7,8,1,10,3] => [1,1,2,2,3,2,1]
[12,5,2,11,4,1,10,7,6,9,8,3] => [1,1,2,1,2,1,2,1,1]
[12,5,2,11,4,1,6,7,8,9,10,3] => [1,1,2,1,6,1]
[8,7,2,1,4,5,6,3,10,9,12,11] => [1,1,1,4,2,2,1]
[8,7,2,1,4,5,6,3,12,9,10,11] => [1,1,1,4,2,3]
[10,7,2,9,4,5,6,1,8,3,12,11] => [1,1,2,3,2,2,1]
[12,7,2,9,4,5,6,11,8,1,10,3] => [1,1,2,4,1,2,1]
[12,7,2,11,4,5,6,1,8,9,10,3] => [1,1,2,3,4,1]
[10,9,2,1,8,5,4,7,6,3,12,11] => [1,1,1,2,1,2,1,2,1]
[12,9,2,11,8,5,4,7,6,1,10,3] => [1,1,2,1,1,2,1,2,1]
[12,11,2,1,8,5,10,7,4,9,6,3] => [1,1,1,2,2,1,2,1,1]
[12,11,2,1,10,5,4,7,8,9,6,3] => [1,1,1,2,1,4,1,1]
[10,9,2,1,4,5,6,7,8,3,12,11] => [1,1,1,6,2,1]
[12,9,2,11,4,5,6,7,8,1,10,3] => [1,1,2,5,2,1]
[12,11,2,1,10,5,6,7,4,9,8,3] => [1,1,1,2,3,2,1,1]
[12,11,2,1,4,9,6,5,8,7,10,3] => [1,1,1,3,1,2,2,1]
[12,11,2,1,4,5,6,7,8,9,10,3] => [1,1,1,8,1]
[6,1,2,3,4,5,8,7,10,9,12,11] => [1,6,2,2,1]
[6,1,2,3,4,5,8,7,12,9,10,11] => [1,6,2,3]
[6,1,2,3,4,5,10,7,8,9,12,11] => [1,6,4,1]
[6,1,2,3,4,5,12,11,8,7,10,9] => [1,6,1,1,2,1]
[6,1,2,3,4,5,12,7,8,9,10,11] => [1,6,5]
[8,7,2,3,4,1,6,5,10,9,12,11] => [1,1,3,2,2,2,1]
[8,7,2,3,4,1,6,5,12,9,10,11] => [1,1,3,2,2,3]
[10,7,2,3,4,9,6,1,8,5,12,11] => [1,1,4,1,2,2,1]
[12,7,2,3,4,9,6,11,8,1,10,5] => [1,1,4,2,1,2,1]
[12,7,2,3,4,11,6,1,8,9,10,5] => [1,1,4,1,4,1]
[10,9,2,3,4,1,6,7,8,5,12,11] => [1,1,3,4,2,1]
[12,9,2,3,4,11,6,7,8,1,10,5] => [1,1,4,3,2,1]
[12,11,2,3,4,1,10,7,6,9,8,5] => [1,1,3,2,1,2,1,1]
[12,11,2,3,4,1,6,7,8,9,10,5] => [1,1,3,6,1]
[8,1,6,3,2,5,4,7,10,9,12,11] => [1,2,1,2,3,2,1]
[8,1,6,3,2,5,4,7,12,9,10,11] => [1,2,1,2,3,3]
[10,9,6,3,2,5,4,1,8,7,12,11] => [1,1,1,1,2,1,2,2,1]
[12,9,6,3,2,5,4,11,8,1,10,7] => [1,1,1,1,2,2,1,2,1]
[12,11,6,3,2,5,4,1,8,9,10,7] => [1,1,1,1,2,1,4,1]
[10,1,6,3,8,5,2,7,4,9,12,11] => [1,2,2,1,2,3,1]
[12,11,6,3,8,5,2,7,4,1,10,9] => [1,1,1,2,1,2,1,2,1]
[12,1,6,3,8,5,10,7,2,9,4,11] => [1,2,2,2,1,2,2]
[12,1,6,3,10,5,2,7,8,9,4,11] => [1,2,2,1,4,2]
[10,1,8,3,2,5,6,7,4,9,12,11] => [1,2,1,4,3,1]
[12,11,8,3,2,5,6,7,4,1,10,9] => [1,1,1,1,4,1,2,1]
[12,1,8,3,10,5,6,7,2,9,4,11] => [1,2,2,3,2,2]
[12,1,10,3,2,9,6,5,8,7,4,11] => [1,2,1,2,1,2,1,2]
[12,1,10,3,2,5,6,7,8,9,4,11] => [1,2,1,6,2]
[8,1,2,3,4,5,6,7,10,9,12,11] => [1,8,2,1]
[8,1,2,3,4,5,6,7,12,9,10,11] => [1,8,3]
[10,9,2,3,4,5,6,1,8,7,12,11] => [1,1,5,2,2,1]
[12,9,2,3,4,5,6,11,8,1,10,7] => [1,1,6,1,2,1]
[12,11,2,3,4,5,6,1,8,9,10,7] => [1,1,5,4,1]
[10,1,8,3,4,5,2,7,6,9,12,11] => [1,2,3,2,3,1]
[12,11,8,3,4,5,2,7,6,1,10,9] => [1,1,1,3,2,1,2,1]
[12,1,8,3,4,5,10,7,2,9,6,11] => [1,2,4,1,2,2]
[12,1,10,3,4,5,2,7,8,9,6,11] => [1,2,3,4,2]
[10,1,2,7,4,3,6,5,8,9,12,11] => [1,3,1,2,4,1]
[12,11,2,7,4,3,6,5,8,1,10,9] => [1,1,2,1,2,2,2,1]
[12,1,10,7,4,3,6,5,2,9,8,11] => [1,2,1,1,2,1,2,2]
[12,1,2,7,4,9,6,3,8,5,10,11] => [1,3,2,1,2,3]
[12,1,2,9,4,3,6,7,8,5,10,11] => [1,3,1,4,3]
[10,1,2,3,4,5,6,7,8,9,12,11] => [1,10,1]
[12,11,2,3,4,5,6,7,8,1,10,9] => [1,1,7,2,1]
[12,1,10,3,4,5,6,7,2,9,8,11] => [1,2,5,2,2]
[12,1,2,9,4,5,6,3,8,7,10,11] => [1,3,3,2,3]
[12,1,2,3,8,5,4,7,6,9,10,11] => [1,4,1,2,4]
[12,1,2,3,4,5,6,7,8,9,10,11] => [1,11]
[8,6,7,5,9,4,10,3,11,2,12,1] => [1,2,2,2,2,2,1]
[9,7,5,6,8,4,10,3,11,2,12,1] => [1,1,3,2,2,2,1]
[10,8,9,6,4,5,7,3,11,2,12,1] => [1,2,1,3,2,2,1]
[10,7,5,6,4,8,9,3,11,2,12,1] => [1,1,2,3,2,2,1]
[10,8,6,4,5,7,9,3,11,2,12,1] => [1,1,1,4,2,2,1]
[10,8,9,7,11,5,3,4,6,2,12,1] => [1,2,2,1,3,2,1]
[11,9,7,8,10,5,3,4,6,2,12,1] => [1,1,3,1,3,2,1]
[11,9,10,6,4,5,3,7,8,2,12,1] => [1,2,1,2,3,2,1]
[11,9,10,7,5,3,4,6,8,2,12,1] => [1,2,1,1,4,2,1]
[11,7,5,6,4,8,3,9,10,2,12,1] => [1,1,2,2,3,2,1]
[11,8,6,4,5,7,3,9,10,2,12,1] => [1,1,1,3,3,2,1]
[11,9,7,8,5,3,4,6,10,2,12,1] => [1,1,2,1,4,2,1]
[11,9,6,4,5,3,7,8,10,2,12,1] => [1,1,1,2,4,2,1]
[11,9,7,5,3,4,6,8,10,2,12,1] => [1,1,1,1,5,2,1]
[10,8,9,7,11,6,12,4,2,3,5,1] => [1,2,2,2,1,3,1]
[11,9,7,8,10,6,12,4,2,3,5,1] => [1,1,3,2,1,3,1]
[11,9,10,7,5,6,8,3,2,4,12,1] => [1,2,1,3,1,3,1]
[12,9,7,8,6,10,11,4,2,3,5,1] => [1,1,2,3,1,3,1]
[12,10,8,6,7,9,11,4,2,3,5,1] => [1,1,1,4,1,3,1]
[11,9,10,8,12,5,3,4,2,6,7,1] => [1,2,2,1,2,3,1]
[12,10,8,9,11,5,3,4,2,6,7,1] => [1,1,3,1,2,3,1]
[11,9,10,8,12,6,4,2,3,5,7,1] => [1,2,2,1,1,4,1]
[12,10,8,9,11,6,4,2,3,5,7,1] => [1,1,3,1,1,4,1]
[12,10,11,6,4,5,3,7,2,8,9,1] => [1,2,1,2,2,3,1]
[12,10,11,7,5,3,4,6,2,8,9,1] => [1,2,1,1,3,3,1]
[12,10,11,8,6,7,4,2,3,5,9,1] => [1,2,1,2,1,4,1]
[12,10,11,8,5,3,4,2,6,7,9,1] => [1,2,1,1,2,4,1]
[12,10,11,8,6,4,2,3,5,7,9,1] => [1,2,1,1,1,5,1]
[12,7,5,6,4,8,3,9,2,10,11,1] => [1,1,2,2,2,3,1]
[12,8,6,4,5,7,3,9,2,10,11,1] => [1,1,1,3,2,3,1]
[12,9,7,8,5,3,4,6,2,10,11,1] => [1,1,2,1,3,3,1]
[12,9,6,4,5,3,7,8,2,10,11,1] => [1,1,1,2,3,3,1]
[12,9,7,5,3,4,6,8,2,10,11,1] => [1,1,1,1,4,3,1]
[12,9,7,8,6,10,4,2,3,5,11,1] => [1,1,2,2,1,4,1]
[12,10,8,6,7,9,4,2,3,5,11,1] => [1,1,1,3,1,4,1]
[12,10,8,9,5,3,4,2,6,7,11,1] => [1,1,2,1,2,4,1]
[12,10,8,9,6,4,2,3,5,7,11,1] => [1,1,2,1,1,5,1]
[12,10,6,4,5,3,7,2,8,9,11,1] => [1,1,1,2,2,4,1]
[12,10,7,5,3,4,6,2,8,9,11,1] => [1,1,1,1,3,4,1]
[12,10,8,6,7,4,2,3,5,9,11,1] => [1,1,1,2,1,5,1]
[12,10,8,5,3,4,2,6,7,9,11,1] => [1,1,1,1,2,5,1]
[12,10,8,6,4,2,3,5,7,9,11,1] => [1,1,1,1,1,6,1]
[9,7,8,6,10,5,11,4,12,2,1,3] => [1,2,2,2,2,1,2]
[10,8,6,7,9,5,11,4,12,2,1,3] => [1,1,3,2,2,1,2]
[11,9,10,7,5,6,8,4,12,2,1,3] => [1,2,1,3,2,1,2]
[11,8,6,7,5,9,10,4,12,2,1,3] => [1,1,2,3,2,1,2]
[11,9,7,5,6,8,10,4,12,2,1,3] => [1,1,1,4,2,1,2]
[11,9,10,8,12,6,4,5,7,2,1,3] => [1,2,2,1,3,1,2]
[12,10,8,9,11,6,4,5,7,2,1,3] => [1,1,3,1,3,1,2]
[12,10,11,7,5,6,4,8,9,2,1,3] => [1,2,1,2,3,1,2]
[12,10,11,8,6,4,5,7,9,2,1,3] => [1,2,1,1,4,1,2]
[12,8,6,7,5,9,4,10,11,2,1,3] => [1,1,2,2,3,1,2]
[12,9,7,5,6,8,4,10,11,2,1,3] => [1,1,1,3,3,1,2]
[12,10,8,9,6,4,5,7,11,2,1,3] => [1,1,2,1,4,1,2]
[12,10,7,5,6,4,8,9,11,2,1,3] => [1,1,1,2,4,1,2]
[12,10,8,6,4,5,7,9,11,2,1,3] => [1,1,1,1,5,1,2]
[9,7,8,6,10,5,11,3,2,4,1,12] => [1,2,2,2,1,2,2]
[10,8,6,7,9,5,11,3,2,4,1,12] => [1,1,3,2,1,2,2]
[12,10,11,8,6,7,9,4,2,3,1,5] => [1,2,1,3,1,2,2]
[11,8,6,7,5,9,10,3,2,4,1,12] => [1,1,2,3,1,2,2]
[11,9,7,5,6,8,10,3,2,4,1,12] => [1,1,1,4,1,2,2]
[12,8,6,7,5,9,4,10,2,1,3,11] => [1,1,2,2,2,1,3]
[12,9,7,5,6,8,4,10,2,1,3,11] => [1,1,1,3,2,1,3]
[12,10,11,8,6,7,9,4,2,1,3,5] => [1,2,1,3,1,1,3]
[12,10,7,5,6,4,8,9,2,1,3,11] => [1,1,1,2,3,1,3]
[12,10,8,6,4,5,7,9,2,1,3,11] => [1,1,1,1,4,1,3]
[9,7,8,6,10,4,3,5,2,11,1,12] => [1,2,2,1,2,2,2]
[10,8,6,7,9,4,3,5,2,11,1,12] => [1,1,3,1,2,2,2]
[11,8,6,7,5,9,3,2,4,10,1,12] => [1,1,2,2,1,3,2]
[11,9,7,5,6,8,3,2,4,10,1,12] => [1,1,1,3,1,3,2]
[11,9,10,8,12,6,4,5,2,1,3,7] => [1,2,2,1,2,1,3]
[12,10,8,9,11,6,4,5,2,1,3,7] => [1,1,3,1,2,1,3]
[12,8,6,7,5,9,3,2,4,1,10,11] => [1,1,2,2,1,2,3]
[12,9,7,5,6,8,3,2,4,1,10,11] => [1,1,1,3,1,2,3]
[12,10,7,5,6,4,8,2,1,3,9,11] => [1,1,1,2,2,1,4]
[12,10,8,6,4,5,7,2,1,3,9,11] => [1,1,1,1,3,1,4]
[9,7,8,5,4,6,3,10,2,11,1,12] => [1,2,1,2,2,2,2]
[10,8,6,7,4,3,5,9,2,11,1,12] => [1,1,2,1,3,2,2]
[11,9,10,7,5,6,3,2,4,8,1,12] => [1,2,1,2,1,3,2]
[11,8,6,7,4,3,5,2,9,10,1,12] => [1,1,2,1,2,3,2]
[11,9,7,5,6,3,2,4,8,10,1,12] => [1,1,1,2,1,4,2]
[12,10,11,7,5,6,4,8,2,1,3,9] => [1,2,1,2,2,1,3]
[12,10,11,8,6,4,5,7,2,1,3,9] => [1,2,1,1,3,1,3]
[12,10,11,7,5,6,3,2,4,1,8,9] => [1,2,1,2,1,2,3]
[12,10,11,8,6,4,5,2,1,3,7,9] => [1,2,1,1,2,1,4]
[12,8,6,7,4,3,5,2,9,1,10,11] => [1,1,2,1,2,2,3]
[12,9,7,5,6,3,2,4,8,1,10,11] => [1,1,1,2,1,3,3]
[12,10,8,9,6,4,5,2,1,3,7,11] => [1,1,2,1,2,1,4]
[12,10,7,5,6,3,2,4,1,8,9,11] => [1,1,1,2,1,2,4]
[12,10,8,6,4,5,2,1,3,7,9,11] => [1,1,1,1,2,1,5]
[8,6,5,7,4,9,3,10,2,11,1,12] => [1,1,2,2,2,2,2]
[9,7,5,4,6,8,3,10,2,11,1,12] => [1,1,1,3,2,2,2]
[10,8,9,7,5,3,4,6,2,11,1,12] => [1,2,1,1,3,2,2]
[10,7,5,4,6,3,8,9,2,11,1,12] => [1,1,1,2,3,2,2]
[10,8,6,4,3,5,7,9,2,11,1,12] => [1,1,1,1,4,2,2]
[10,8,9,7,11,6,4,2,3,5,1,12] => [1,2,2,1,1,3,2]
[11,9,7,8,10,6,4,2,3,5,1,12] => [1,1,3,1,1,3,2]
[11,9,10,8,5,3,4,2,6,7,1,12] => [1,2,1,1,2,3,2]
[11,9,10,8,6,4,2,3,5,7,1,12] => [1,2,1,1,1,4,2]
[11,7,5,4,6,3,8,2,9,10,1,12] => [1,1,1,2,2,3,2]
[11,8,6,4,3,5,7,2,9,10,1,12] => [1,1,1,1,3,3,2]
[11,9,7,8,6,4,2,3,5,10,1,12] => [1,1,2,1,1,4,2]
[11,9,6,4,3,5,2,7,8,10,1,12] => [1,1,1,1,2,4,2]
[11,9,7,5,3,2,4,6,8,10,1,12] => [1,1,1,1,1,5,2]
[10,8,9,7,11,6,12,5,3,1,2,4] => [1,2,2,2,1,1,3]
[11,9,7,8,10,6,12,5,3,1,2,4] => [1,1,3,2,1,1,3]
[11,9,10,8,6,4,5,7,2,1,3,12] => [1,2,1,1,3,1,3]
[12,9,7,8,6,10,11,5,3,1,2,4] => [1,1,2,3,1,1,3]
[12,10,8,6,7,9,11,5,3,1,2,4] => [1,1,1,4,1,1,3]
[11,9,10,8,12,7,4,2,3,1,5,6] => [1,2,2,1,1,2,3]
[12,10,8,9,11,7,4,2,3,1,5,6] => [1,1,3,1,1,2,3]
[11,9,10,8,12,7,5,3,1,2,4,6] => [1,2,2,1,1,1,4]
[12,10,8,9,11,7,5,3,1,2,4,6] => [1,1,3,1,1,1,4]
[12,10,11,9,5,3,4,2,6,1,7,8] => [1,2,1,1,2,2,3]
[12,10,11,9,6,4,2,3,5,1,7,8] => [1,2,1,1,1,3,3]
[12,10,11,8,6,7,5,3,1,2,4,9] => [1,2,1,2,1,1,4]
[12,10,11,9,7,4,2,3,1,5,6,8] => [1,2,1,1,1,2,4]
[12,10,11,9,7,5,3,1,2,4,6,8] => [1,2,1,1,1,1,5]
[12,7,5,4,6,3,8,2,9,1,10,11] => [1,1,1,2,2,2,3]
[12,8,6,4,3,5,7,2,9,1,10,11] => [1,1,1,1,3,2,3]
[12,9,7,8,6,4,2,3,5,1,10,11] => [1,1,2,1,1,3,3]
[12,9,6,4,3,5,2,7,8,1,10,11] => [1,1,1,1,2,3,3]
[12,9,7,5,3,2,4,6,8,1,10,11] => [1,1,1,1,1,4,3]
[12,9,7,8,6,10,5,3,1,2,4,11] => [1,1,2,2,1,1,4]
[12,10,8,6,7,9,5,3,1,2,4,11] => [1,1,1,3,1,1,4]
[12,10,8,9,7,4,2,3,1,5,6,11] => [1,1,2,1,1,2,4]
[12,10,8,9,7,5,3,1,2,4,6,11] => [1,1,2,1,1,1,5]
[12,10,6,4,3,5,2,7,1,8,9,11] => [1,1,1,1,2,2,4]
[12,10,7,5,3,2,4,6,1,8,9,11] => [1,1,1,1,1,3,4]
[12,10,8,6,7,5,3,1,2,4,9,11] => [1,1,1,2,1,1,5]
[12,10,8,5,3,2,4,1,6,7,9,11] => [1,1,1,1,1,2,5]
[2,12,11,10,9,8,1,7,6,5,4,3] => [2,1,1,1,1,2,1,1,1,1]
[3,12,11,10,9,8,1,7,6,5,4,2] => [2,1,1,1,1,2,1,1,1,1]
[4,12,11,10,9,8,1,7,6,5,3,2] => [2,1,1,1,1,2,1,1,1,1]
[5,12,11,10,9,8,1,7,6,4,3,2] => [2,1,1,1,1,2,1,1,1,1]
[6,12,11,10,9,8,1,7,5,4,3,2] => [2,1,1,1,1,2,1,1,1,1]
[1,3,5,7,9,11,12,2,4,6,8,10] => [7,5]
[1,3,5,7,10,11,2,12,4,6,8,9] => [6,2,4]
[1,3,5,8,9,2,11,12,4,6,7,10] => [5,3,4]
[1,3,5,8,10,11,2,4,12,6,7,9] => [6,3,3]
[1,3,5,9,10,2,11,4,12,6,7,8] => [5,2,2,3]
[1,3,6,7,2,9,11,12,4,5,8,10] => [4,4,4]
[1,3,6,7,2,10,11,4,12,5,8,9] => [4,3,2,3]
[1,3,6,8,9,2,4,11,12,5,7,10] => [5,4,3]
[1,3,7,8,2,9,4,11,12,5,6,10] => [4,2,3,3]
[1,3,6,8,10,11,2,4,5,12,7,9] => [6,4,2]
[1,3,6,9,10,2,11,4,5,12,7,8] => [5,2,3,2]
[1,3,7,8,2,10,11,4,5,12,6,9] => [4,3,3,2]
[1,3,7,9,10,2,4,11,5,12,6,8] => [5,3,2,2]
[1,3,8,9,2,10,4,11,5,12,6,7] => [4,2,2,2,2]
[1,4,5,2,7,9,11,12,3,6,8,10] => [3,5,4]
[1,4,5,2,7,10,11,3,12,6,8,9] => [3,4,2,3]
[1,4,5,2,8,9,3,11,12,6,7,10] => [3,3,3,3]
[1,4,5,2,8,10,11,3,6,12,7,9] => [3,4,3,2]
[1,4,5,2,9,10,3,11,6,12,7,8] => [3,3,2,2,2]
[1,4,6,7,2,3,9,11,12,5,8,10] => [4,5,3]
[1,4,6,7,2,3,10,11,5,12,8,9] => [4,4,2,2]
[1,5,6,2,7,3,9,11,12,4,8,10] => [3,2,4,3]
[1,5,6,2,7,3,10,11,4,12,8,9] => [3,2,3,2,2]
[1,4,6,8,9,2,3,5,11,12,7,10] => [5,5,2]
[1,4,7,8,2,9,3,5,11,12,6,10] => [4,2,4,2]
[1,5,6,2,8,9,3,4,11,12,7,10] => [3,3,4,2]
[1,5,7,8,2,3,9,4,11,12,6,10] => [4,3,3,2]
[1,6,7,2,8,3,9,4,11,12,5,10] => [3,2,2,3,2]
[1,4,6,8,10,11,2,3,5,7,12,9] => [6,5,1]
[1,4,6,9,10,2,11,3,5,7,12,8] => [5,2,4,1]
[1,4,7,8,2,10,11,3,5,6,12,9] => [4,3,4,1]
[1,4,7,9,10,2,3,11,5,6,12,8] => [5,3,3,1]
[1,4,8,9,2,10,3,11,5,6,12,7] => [4,2,2,3,1]
[1,5,6,2,8,10,11,3,4,7,12,9] => [3,4,4,1]
[1,5,6,2,9,10,3,11,4,7,12,8] => [3,3,2,3,1]
[1,5,7,8,2,3,10,11,4,6,12,9] => [4,4,3,1]
[1,6,7,2,8,3,10,11,4,5,12,9] => [3,2,3,3,1]
[1,5,7,9,10,2,3,4,11,6,12,8] => [5,4,2,1]
[1,5,8,9,2,10,3,4,11,6,12,7] => [4,2,3,2,1]
[1,6,7,2,9,10,3,4,11,5,12,8] => [3,3,3,2,1]
[1,6,8,9,2,3,10,4,11,5,12,7] => [4,3,2,2,1]
[1,7,8,2,9,3,10,4,11,5,12,6] => [3,2,2,2,2,1]
[2,3,1,5,7,9,11,12,4,6,8,10] => [2,6,4]
[2,3,1,5,7,10,11,4,12,6,8,9] => [2,5,2,3]
[2,3,1,5,8,9,4,11,12,6,7,10] => [2,4,3,3]
[2,3,1,5,8,10,11,4,6,12,7,9] => [2,5,3,2]
[2,3,1,5,9,10,4,11,6,12,7,8] => [2,4,2,2,2]
[2,3,1,6,7,4,9,11,12,5,8,10] => [2,3,4,3]
[2,3,1,6,7,4,10,11,5,12,8,9] => [2,3,3,2,2]
[2,3,1,6,8,9,4,5,11,12,7,10] => [2,4,4,2]
[2,3,1,7,8,4,9,5,11,12,6,10] => [2,3,2,3,2]
[2,3,1,6,8,10,11,4,5,7,12,9] => [2,5,4,1]
[2,3,1,6,9,10,4,11,5,7,12,8] => [2,4,2,3,1]
[2,3,1,7,8,4,10,11,5,6,12,9] => [2,3,3,3,1]
[2,3,1,7,9,10,4,5,11,6,12,8] => [2,4,3,2,1]
[2,3,1,8,9,4,10,5,11,6,12,7] => [2,3,2,2,2,1]
[2,4,5,1,3,7,9,11,12,6,8,10] => [3,6,3]
[2,4,5,1,3,7,10,11,6,12,8,9] => [3,5,2,2]
[2,4,5,1,3,8,9,6,11,12,7,10] => [3,4,3,2]
[2,4,5,1,3,8,10,11,6,7,12,9] => [3,5,3,1]
[2,4,5,1,3,9,10,6,11,7,12,8] => [3,4,2,2,1]
[3,4,1,5,2,7,9,11,12,6,8,10] => [2,2,5,3]
[3,4,1,5,2,7,10,11,6,12,8,9] => [2,2,4,2,2]
[3,4,1,5,2,8,9,6,11,12,7,10] => [2,2,3,3,2]
[3,4,1,5,2,8,10,11,6,7,12,9] => [2,2,4,3,1]
[3,4,1,5,2,9,10,6,11,7,12,8] => [2,2,3,2,2,1]
[2,4,6,7,1,3,5,9,11,12,8,10] => [4,6,2]
[2,4,6,7,1,3,5,10,11,8,12,9] => [4,5,2,1]
[2,5,6,1,7,3,4,9,11,12,8,10] => [3,2,5,2]
[2,5,6,1,7,3,4,10,11,8,12,9] => [3,2,4,2,1]
[3,4,1,6,7,2,5,9,11,12,8,10] => [2,3,5,2]
[3,4,1,6,7,2,5,10,11,8,12,9] => [2,3,4,2,1]
[3,5,6,1,2,7,4,9,11,12,8,10] => [3,3,4,2]
[3,5,6,1,2,7,4,10,11,8,12,9] => [3,3,3,2,1]
[4,5,1,6,2,7,3,9,11,12,8,10] => [2,2,2,4,2]
[4,5,1,6,2,7,3,10,11,8,12,9] => [2,2,2,3,2,1]
[2,4,6,8,9,1,3,5,7,11,12,10] => [5,6,1]
[2,4,7,8,1,9,3,5,6,11,12,10] => [4,2,5,1]
[2,5,6,1,8,9,3,4,7,11,12,10] => [3,3,5,1]
[2,5,7,8,1,3,9,4,6,11,12,10] => [4,3,4,1]
[2,6,7,1,8,3,9,4,5,11,12,10] => [3,2,2,4,1]
[3,4,1,6,8,9,2,5,7,11,12,10] => [2,4,5,1]
[3,4,1,7,8,2,9,5,6,11,12,10] => [2,3,2,4,1]
[3,5,6,1,2,8,9,4,7,11,12,10] => [3,4,4,1]
[4,5,1,6,2,8,9,3,7,11,12,10] => [2,2,3,4,1]
[3,5,7,8,1,2,4,9,6,11,12,10] => [4,4,3,1]
[3,6,7,1,8,2,4,9,5,11,12,10] => [3,2,3,3,1]
[4,5,1,7,8,2,3,9,6,11,12,10] => [2,3,3,3,1]
[4,6,7,1,2,8,3,9,5,11,12,10] => [3,3,2,3,1]
[5,6,1,7,2,8,3,9,4,11,12,10] => [2,2,2,2,3,1]
[2,4,6,8,10,11,1,3,5,7,9,12] => [6,6]
[2,4,6,9,10,1,11,3,5,7,8,12] => [5,2,5]
[2,4,7,8,1,10,11,3,5,6,9,12] => [4,3,5]
[2,4,7,9,10,1,3,11,5,6,8,12] => [5,3,4]
[2,4,8,9,1,10,3,11,5,6,7,12] => [4,2,2,4]
[2,5,6,1,8,10,11,3,4,7,9,12] => [3,4,5]
[2,5,6,1,9,10,3,11,4,7,8,12] => [3,3,2,4]
[2,5,7,8,1,3,10,11,4,6,9,12] => [4,4,4]
[2,6,7,1,8,3,10,11,4,5,9,12] => [3,2,3,4]
[2,5,7,9,10,1,3,4,11,6,8,12] => [5,4,3]
[2,5,8,9,1,10,3,4,11,6,7,12] => [4,2,3,3]
[2,6,7,1,9,10,3,4,11,5,8,12] => [3,3,3,3]
[2,6,8,9,1,3,10,4,11,5,7,12] => [4,3,2,3]
[2,7,8,1,9,3,10,4,11,5,6,12] => [3,2,2,2,3]
[3,4,1,6,8,10,11,2,5,7,9,12] => [2,5,5]
[3,4,1,6,9,10,2,11,5,7,8,12] => [2,4,2,4]
[3,4,1,7,8,2,10,11,5,6,9,12] => [2,3,3,4]
[3,4,1,7,9,10,2,5,11,6,8,12] => [2,4,3,3]
[3,4,1,8,9,2,10,5,11,6,7,12] => [2,3,2,2,3]
[3,5,6,1,2,8,10,11,4,7,9,12] => [3,5,4]
[3,5,6,1,2,9,10,4,11,7,8,12] => [3,4,2,3]
[4,5,1,6,2,8,10,11,3,7,9,12] => [2,2,4,4]
[4,5,1,6,2,9,10,3,11,7,8,12] => [2,2,3,2,3]
[3,5,7,8,1,2,4,10,11,6,9,12] => [4,5,3]
[3,6,7,1,8,2,4,10,11,5,9,12] => [3,2,4,3]
[4,5,1,7,8,2,3,10,11,6,9,12] => [2,3,4,3]
[4,6,7,1,2,8,3,10,11,5,9,12] => [3,3,3,3]
[5,6,1,7,2,8,3,10,11,4,9,12] => [2,2,2,3,3]
[3,5,7,9,10,1,2,4,6,11,8,12] => [5,5,2]
[3,5,8,9,1,10,2,4,6,11,7,12] => [4,2,4,2]
[3,6,7,1,9,10,2,4,5,11,8,12] => [3,3,4,2]
[3,6,8,9,1,2,10,4,5,11,7,12] => [4,3,3,2]
[3,7,8,1,9,2,10,4,5,11,6,12] => [3,2,2,3,2]
[4,5,1,7,9,10,2,3,6,11,8,12] => [2,4,4,2]
[4,5,1,8,9,2,10,3,6,11,7,12] => [2,3,2,3,2]
[4,6,7,1,2,9,10,3,5,11,8,12] => [3,4,3,2]
[5,6,1,7,2,9,10,3,4,11,8,12] => [2,2,3,3,2]
[4,6,8,9,1,2,3,10,5,11,7,12] => [4,4,2,2]
[4,7,8,1,9,2,3,10,5,11,6,12] => [3,2,3,2,2]
[5,6,1,8,9,2,3,10,4,11,7,12] => [2,3,3,2,2]
[5,7,8,1,2,9,3,10,4,11,6,12] => [3,3,2,2,2]
[6,7,1,8,2,9,3,10,4,11,5,12] => [2,2,2,2,2,2]
[11,12,8,2,1,6,4,3,5,7,9,10] => [2,1,1,2,1,5]
[12,2,9,1,10,6,4,3,5,7,8,11] => [1,2,2,1,1,5]
[11,12,2,1,9,6,4,3,5,7,8,10] => [2,1,2,1,1,5]
[10,2,4,1,11,3,12,6,5,7,8,9] => [1,2,2,2,1,4]
[7,12,10,2,1,8,4,3,5,6,9,11] => [2,1,1,2,1,5]
[2,11,7,1,12,8,4,3,5,6,9,10] => [2,1,2,1,1,5]
[9,12,2,1,10,7,4,3,5,6,8,11] => [2,1,2,1,1,5]
[2,11,1,12,9,7,4,3,5,6,8,10] => [2,2,1,1,1,5]
[10,11,2,1,4,3,12,7,5,6,8,9] => [2,1,2,2,1,4]
[8,12,2,1,9,4,3,10,5,6,7,11] => [2,1,2,1,2,4]
[2,11,1,12,8,4,3,9,5,6,7,10] => [2,2,1,1,2,4]
[2,10,1,11,4,3,12,8,5,6,7,9] => [2,2,1,2,1,4]
[2,9,1,10,4,3,11,5,12,6,7,8] => [2,2,1,2,2,3]
[12,10,8,5,2,1,6,3,4,7,9,11] => [1,1,1,1,1,2,5]
[5,11,2,1,12,8,6,3,4,7,9,10] => [2,1,2,1,1,5]
[12,9,5,2,1,10,6,3,4,7,8,11] => [1,1,1,1,2,1,5]
[11,5,2,1,12,9,6,3,4,7,8,10] => [1,1,1,2,1,1,5]
[10,11,2,1,5,3,12,6,4,7,8,9] => [2,1,2,2,1,4]
[12,10,7,2,1,8,5,3,4,6,9,11] => [1,1,1,1,2,1,5]
[11,7,2,1,12,8,5,3,4,6,9,10] => [1,1,1,2,1,1,5]
[12,9,2,1,10,7,5,3,4,6,8,11] => [1,1,1,2,1,1,5]
[11,2,1,12,9,7,5,3,4,6,8,10] => [1,1,2,1,1,1,5]
[10,11,2,1,3,12,7,5,4,6,8,9] => [2,1,3,1,1,4]
[8,9,2,1,12,3,10,5,4,6,7,11] => [2,1,2,2,1,4]
[11,8,2,1,12,3,9,5,4,6,7,10] => [1,1,1,2,2,1,4]
[2,10,1,11,3,12,8,5,4,6,7,9] => [2,2,2,1,1,4]
[2,9,1,10,3,11,5,4,12,6,7,8] => [2,2,2,1,2,3]
[12,10,6,2,1,7,3,8,4,5,9,11] => [1,1,1,1,2,2,4]
[11,6,2,1,12,7,3,8,4,5,9,10] => [1,1,1,2,1,2,4]
[12,9,2,1,10,6,3,7,4,5,8,11] => [1,1,1,2,1,2,4]
[11,2,1,12,9,6,3,7,4,5,8,10] => [1,1,2,1,1,2,4]
[10,2,1,11,6,3,12,7,4,5,8,9] => [1,1,2,1,2,1,4]
[12,8,2,1,9,3,10,6,4,5,7,11] => [1,1,1,2,2,1,4]
[11,2,1,12,8,3,9,6,4,5,7,10] => [1,1,2,1,2,1,4]
[10,2,1,11,3,12,8,6,4,5,7,9] => [1,1,2,2,1,1,4]
[2,9,1,10,3,11,4,12,6,5,7,8] => [2,2,2,2,1,3]
[12,7,2,1,8,3,9,4,10,5,6,11] => [1,1,1,2,2,2,3]
[11,2,1,12,7,3,8,4,9,5,6,10] => [1,1,2,1,2,2,3]
[10,2,1,11,3,12,7,4,8,5,6,9] => [1,1,2,2,1,2,3]
[9,2,1,10,3,11,4,12,7,5,6,8] => [1,1,2,2,2,1,3]
[8,2,1,9,3,10,4,11,5,12,6,7] => [1,1,2,2,2,2,2]
[12,10,8,6,3,1,4,2,5,7,9,11] => [1,1,1,1,1,2,5]
[11,12,3,1,8,6,4,2,5,7,9,10] => [2,1,2,1,1,5]
[9,12,3,1,10,6,4,2,5,7,8,11] => [2,1,2,1,1,5]
[3,11,1,12,9,6,4,2,5,7,8,10] => [2,2,1,1,1,5]
[3,10,4,1,11,2,12,6,5,7,8,9] => [2,1,2,2,1,4]
[12,10,7,3,1,8,4,2,5,6,9,11] => [1,1,1,1,2,1,5]
[11,7,3,1,12,8,4,2,5,6,9,10] => [1,1,1,2,1,1,5]
[12,9,3,1,10,7,4,2,5,6,8,11] => [1,1,1,2,1,1,5]
[11,3,1,12,9,7,4,2,5,6,8,10] => [1,1,2,1,1,1,5]
[3,10,1,11,4,2,12,7,5,6,8,9] => [2,2,1,2,1,4]
[12,8,3,1,9,4,2,10,5,6,7,11] => [1,1,1,2,1,2,4]
[11,3,1,12,8,4,2,9,5,6,7,10] => [1,1,2,1,1,2,4]
[10,3,1,11,4,2,12,8,5,6,7,9] => [1,1,2,1,2,1,4]
[9,3,1,10,4,2,11,5,12,6,7,8] => [1,1,2,1,2,2,3]
[12,10,8,5,1,6,3,2,4,7,9,11] => [1,1,1,1,2,1,5]
[5,11,1,12,8,6,3,2,4,7,9,10] => [2,2,1,1,1,5]
[12,9,5,1,10,6,3,2,4,7,8,11] => [1,1,1,2,1,1,5]
[11,5,1,12,9,6,3,2,4,7,8,10] => [1,1,2,1,1,1,5]
[3,10,1,11,5,2,12,6,4,7,8,9] => [2,2,1,2,1,4]
[12,10,7,1,8,5,3,2,4,6,9,11] => [1,1,1,2,1,1,5]
[11,7,1,12,8,5,3,2,4,6,9,10] => [1,1,2,1,1,1,5]
[12,9,1,10,7,5,3,2,4,6,8,11] => [1,1,2,1,1,1,5]
[11,1,12,9,7,5,3,2,4,6,8,10] => [1,2,1,1,1,1,5]
[3,10,1,11,2,12,7,5,4,6,8,9] => [2,2,2,1,1,4]
[8,9,1,12,3,2,10,5,4,6,7,11] => [2,2,1,2,1,4]
[11,8,1,12,3,2,9,5,4,6,7,10] => [1,1,2,1,2,1,4]
[10,3,1,11,2,12,8,5,4,6,7,9] => [1,1,2,2,1,1,4]
[9,3,1,10,2,11,5,4,12,6,7,8] => [1,1,2,2,1,2,3]
[12,10,6,1,7,3,2,8,4,5,9,11] => [1,1,1,2,1,2,4]
[11,6,1,12,7,3,2,8,4,5,9,10] => [1,1,2,1,1,2,4]
[12,9,1,10,6,3,2,7,4,5,8,11] => [1,1,2,1,1,2,4]
[11,1,12,9,6,3,2,7,4,5,8,10] => [1,2,1,1,1,2,4]
[10,1,11,6,3,2,12,7,4,5,8,9] => [1,2,1,1,2,1,4]
[12,8,1,9,3,2,10,6,4,5,7,11] => [1,1,2,1,2,1,4]
[11,1,12,8,3,2,9,6,4,5,7,10] => [1,2,1,1,2,1,4]
[10,1,11,3,2,12,8,6,4,5,7,9] => [1,2,1,2,1,1,4]
[9,3,1,10,2,11,4,12,6,5,7,8] => [1,1,2,2,2,1,3]
[12,7,1,8,3,2,9,4,10,5,6,11] => [1,1,2,1,2,2,3]
[11,1,12,7,3,2,8,4,9,5,6,10] => [1,2,1,1,2,2,3]
[10,1,11,3,2,12,7,4,8,5,6,9] => [1,2,1,2,1,2,3]
[9,1,10,3,2,11,4,12,7,5,6,8] => [1,2,1,2,2,1,3]
[8,1,9,3,2,10,4,11,5,12,6,7] => [1,2,1,2,2,2,2]
[12,10,8,4,1,5,2,6,3,7,9,11] => [1,1,1,1,2,2,4]
[4,11,1,12,8,5,2,6,3,7,9,10] => [2,2,1,1,2,4]
[12,9,4,1,10,5,2,6,3,7,8,11] => [1,1,1,2,1,2,4]
[11,4,1,12,9,5,2,6,3,7,8,10] => [1,1,2,1,1,2,4]
[10,4,1,11,5,2,12,6,3,7,8,9] => [1,1,2,1,2,1,4]
[12,10,7,1,8,4,2,5,3,6,9,11] => [1,1,1,2,1,2,4]
[11,7,1,12,8,4,2,5,3,6,9,10] => [1,1,2,1,1,2,4]
[12,9,1,10,7,4,2,5,3,6,8,11] => [1,1,2,1,1,2,4]
[11,1,12,9,7,4,2,5,3,6,8,10] => [1,2,1,1,1,2,4]
[10,4,1,11,2,12,7,5,3,6,8,9] => [1,1,2,2,1,1,4]
[12,8,1,9,4,2,10,5,3,6,7,11] => [1,1,2,1,2,1,4]
[11,1,12,8,4,2,9,5,3,6,7,10] => [1,2,1,1,2,1,4]
[10,1,11,4,2,12,8,5,3,6,7,9] => [1,2,1,2,1,1,4]
[9,1,10,4,2,11,5,3,12,6,7,8] => [1,2,1,2,1,2,3]
[12,10,6,1,7,2,8,4,3,5,9,11] => [1,1,1,2,2,1,4]
[11,6,1,12,7,2,8,4,3,5,9,10] => [1,1,2,1,2,1,4]
[12,9,1,10,6,2,7,4,3,5,8,11] => [1,1,2,1,2,1,4]
[11,1,12,9,6,2,7,4,3,5,8,10] => [1,2,1,1,2,1,4]
[10,1,11,6,2,12,7,4,3,5,8,9] => [1,2,1,2,1,1,4]
[12,8,1,9,2,10,6,4,3,5,7,11] => [1,1,2,2,1,1,4]
[11,1,12,8,2,9,6,4,3,5,7,10] => [1,2,1,2,1,1,4]
[10,1,11,2,12,8,6,4,3,5,7,9] => [1,2,2,1,1,1,4]
[9,1,10,4,2,11,3,12,6,5,7,8] => [1,2,1,2,2,1,3]
[12,7,1,8,2,9,4,3,10,5,6,11] => [1,1,2,2,1,2,3]
[11,1,12,7,2,8,4,3,9,5,6,10] => [1,2,1,2,1,2,3]
[10,1,11,2,12,7,4,3,8,5,6,9] => [1,2,2,1,1,2,3]
[9,1,10,2,11,4,3,12,7,5,6,8] => [1,2,2,1,2,1,3]
[8,1,9,2,10,4,3,11,5,12,6,7] => [1,2,2,1,2,2,2]
[12,10,5,1,6,2,7,3,8,4,9,11] => [1,1,1,2,2,2,3]
[11,5,1,12,6,2,7,3,8,4,9,10] => [1,1,2,1,2,2,3]
[12,9,1,10,5,2,6,3,7,4,8,11] => [1,1,2,1,2,2,3]
[11,1,12,9,5,2,6,3,7,4,8,10] => [1,2,1,1,2,2,3]
[10,1,11,5,2,12,6,3,7,4,8,9] => [1,2,1,2,1,2,3]
[12,8,1,9,2,10,5,3,6,4,7,11] => [1,1,2,2,1,2,3]
[11,1,12,8,2,9,5,3,6,4,7,10] => [1,2,1,2,1,2,3]
[10,1,11,2,12,8,5,3,6,4,7,9] => [1,2,2,1,1,2,3]
[9,1,10,2,11,5,3,12,6,4,7,8] => [1,2,2,1,2,1,3]
[12,7,1,8,2,9,3,10,5,4,6,11] => [1,1,2,2,2,1,3]
[11,1,12,7,2,8,3,9,5,4,6,10] => [1,2,1,2,2,1,3]
[10,1,11,2,12,7,3,8,5,4,6,9] => [1,2,2,1,2,1,3]
[9,1,10,2,11,3,12,7,5,4,6,8] => [1,2,2,2,1,1,3]
[8,1,9,2,10,3,11,5,4,12,6,7] => [1,2,2,2,1,2,2]
[12,6,1,7,2,8,3,9,4,10,5,11] => [1,1,2,2,2,2,2]
[11,1,12,6,2,7,3,8,4,9,5,10] => [1,2,1,2,2,2,2]
[10,1,11,2,12,6,3,7,4,8,5,9] => [1,2,2,1,2,2,2]
[9,1,10,2,11,3,12,6,4,7,5,8] => [1,2,2,2,1,2,2]
[8,1,9,2,10,3,11,4,12,6,5,7] => [1,2,2,2,2,1,2]
[3,12,1,2,4,5,6,7,8,9,10,11] => [2,10]
[1,3,5,7,9,11,12,10,8,6,4,2] => [7,1,1,1,1,1]
[1,3,5,7,10,11,9,12,8,6,4,2] => [6,2,1,1,1,1]
[1,3,5,8,9,7,11,12,10,6,4,2] => [5,3,1,1,1,1]
[1,3,5,8,10,11,9,7,12,6,4,2] => [6,1,2,1,1,1]
[1,3,5,9,10,8,11,7,12,6,4,2] => [5,2,2,1,1,1]
[1,3,6,7,5,9,11,12,10,8,4,2] => [4,4,1,1,1,1]
[1,3,6,7,5,10,11,9,12,8,4,2] => [4,3,2,1,1,1]
[1,3,6,8,9,7,5,11,12,10,4,2] => [5,1,3,1,1,1]
[1,3,7,8,6,9,5,11,12,10,4,2] => [4,2,3,1,1,1]
[1,3,6,8,10,11,9,7,5,12,4,2] => [6,1,1,2,1,1]
[1,3,6,9,10,8,11,7,5,12,4,2] => [5,2,1,2,1,1]
[1,3,7,8,6,10,11,9,5,12,4,2] => [4,3,1,2,1,1]
[1,3,7,9,10,8,6,11,5,12,4,2] => [5,1,2,2,1,1]
[1,3,8,9,7,10,6,11,5,12,4,2] => [4,2,2,2,1,1]
[1,4,5,3,7,9,11,12,10,8,6,2] => [3,5,1,1,1,1]
[1,4,5,3,7,10,11,9,12,8,6,2] => [3,4,2,1,1,1]
[1,4,5,3,8,9,7,11,12,10,6,2] => [3,3,3,1,1,1]
[1,4,5,3,8,10,11,9,7,12,6,2] => [3,4,1,2,1,1]
[1,4,5,3,9,10,8,11,7,12,6,2] => [3,3,2,2,1,1]
[1,4,6,7,5,3,9,11,12,10,8,2] => [4,1,4,1,1,1]
[1,4,6,7,5,3,10,11,9,12,8,2] => [4,1,3,2,1,1]
[1,5,6,4,7,3,9,11,12,10,8,2] => [3,2,4,1,1,1]
[1,5,6,4,7,3,10,11,9,12,8,2] => [3,2,3,2,1,1]
[1,4,6,8,9,7,5,3,11,12,10,2] => [5,1,1,3,1,1]
[1,4,7,8,6,9,5,3,11,12,10,2] => [4,2,1,3,1,1]
[1,5,6,4,8,9,7,3,11,12,10,2] => [3,3,1,3,1,1]
[1,5,7,8,6,4,9,3,11,12,10,2] => [4,1,2,3,1,1]
[1,6,7,5,8,4,9,3,11,12,10,2] => [3,2,2,3,1,1]
[1,4,6,8,10,11,9,7,5,3,12,2] => [6,1,1,1,2,1]
[1,4,6,9,10,8,11,7,5,3,12,2] => [5,2,1,1,2,1]
[1,4,7,8,6,10,11,9,5,3,12,2] => [4,3,1,1,2,1]
[1,4,7,9,10,8,6,11,5,3,12,2] => [5,1,2,1,2,1]
[1,4,8,9,7,10,6,11,5,3,12,2] => [4,2,2,1,2,1]
[1,5,6,4,8,10,11,9,7,3,12,2] => [3,4,1,1,2,1]
[1,5,6,4,9,10,8,11,7,3,12,2] => [3,3,2,1,2,1]
[1,5,7,8,6,4,10,11,9,3,12,2] => [4,1,3,1,2,1]
[1,6,7,5,8,4,10,11,9,3,12,2] => [3,2,3,1,2,1]
[1,5,7,9,10,8,6,4,11,3,12,2] => [5,1,1,2,2,1]
[1,5,8,9,7,10,6,4,11,3,12,2] => [4,2,1,2,2,1]
[1,6,7,5,9,10,8,4,11,3,12,2] => [3,3,1,2,2,1]
[1,6,8,9,7,5,10,4,11,3,12,2] => [4,1,2,2,2,1]
[1,7,8,6,9,5,10,4,11,3,12,2] => [3,2,2,2,2,1]
[2,3,1,5,7,9,11,12,10,8,6,4] => [2,6,1,1,1,1]
[2,3,1,5,7,10,11,9,12,8,6,4] => [2,5,2,1,1,1]
[2,3,1,5,8,9,7,11,12,10,6,4] => [2,4,3,1,1,1]
[2,3,1,5,8,10,11,9,7,12,6,4] => [2,5,1,2,1,1]
[2,3,1,5,9,10,8,11,7,12,6,4] => [2,4,2,2,1,1]
[2,3,1,6,7,5,9,11,12,10,8,4] => [2,3,4,1,1,1]
[2,3,1,6,7,5,10,11,9,12,8,4] => [2,3,3,2,1,1]
[2,3,1,6,8,9,7,5,11,12,10,4] => [2,4,1,3,1,1]
[2,3,1,7,8,6,9,5,11,12,10,4] => [2,3,2,3,1,1]
[2,3,1,6,8,10,11,9,7,5,12,4] => [2,5,1,1,2,1]
[2,3,1,6,9,10,8,11,7,5,12,4] => [2,4,2,1,2,1]
[2,3,1,7,8,6,10,11,9,5,12,4] => [2,3,3,1,2,1]
[2,3,1,7,9,10,8,6,11,5,12,4] => [2,4,1,2,2,1]
[2,3,1,8,9,7,10,6,11,5,12,4] => [2,3,2,2,2,1]
[2,4,5,3,1,7,9,11,12,10,8,6] => [3,1,5,1,1,1]
[2,4,5,3,1,7,10,11,9,12,8,6] => [3,1,4,2,1,1]
[2,4,5,3,1,8,9,7,11,12,10,6] => [3,1,3,3,1,1]
[2,4,5,3,1,8,10,11,9,7,12,6] => [3,1,4,1,2,1]
[2,4,5,3,1,9,10,8,11,7,12,6] => [3,1,3,2,2,1]
[3,4,2,5,1,7,9,11,12,10,8,6] => [2,2,5,1,1,1]
[3,4,2,5,1,7,10,11,9,12,8,6] => [2,2,4,2,1,1]
[3,4,2,5,1,8,9,7,11,12,10,6] => [2,2,3,3,1,1]
[3,4,2,5,1,8,10,11,9,7,12,6] => [2,2,4,1,2,1]
[3,4,2,5,1,9,10,8,11,7,12,6] => [2,2,3,2,2,1]
[2,4,6,7,5,3,1,9,11,12,10,8] => [4,1,1,4,1,1]
[2,4,6,7,5,3,1,10,11,9,12,8] => [4,1,1,3,2,1]
[2,5,6,4,7,3,1,9,11,12,10,8] => [3,2,1,4,1,1]
[2,5,6,4,7,3,1,10,11,9,12,8] => [3,2,1,3,2,1]
[3,4,2,6,7,5,1,9,11,12,10,8] => [2,3,1,4,1,1]
[3,4,2,6,7,5,1,10,11,9,12,8] => [2,3,1,3,2,1]
[3,5,6,4,2,7,1,9,11,12,10,8] => [3,1,2,4,1,1]
[3,5,6,4,2,7,1,10,11,9,12,8] => [3,1,2,3,2,1]
[4,5,3,6,2,7,1,9,11,12,10,8] => [2,2,2,4,1,1]
[4,5,3,6,2,7,1,10,11,9,12,8] => [2,2,2,3,2,1]
[2,4,6,8,9,7,5,3,1,11,12,10] => [5,1,1,1,3,1]
[2,4,7,8,6,9,5,3,1,11,12,10] => [4,2,1,1,3,1]
[2,5,6,4,8,9,7,3,1,11,12,10] => [3,3,1,1,3,1]
[2,5,7,8,6,4,9,3,1,11,12,10] => [4,1,2,1,3,1]
[2,6,7,5,8,4,9,3,1,11,12,10] => [3,2,2,1,3,1]
[3,4,2,6,8,9,7,5,1,11,12,10] => [2,4,1,1,3,1]
[3,4,2,7,8,6,9,5,1,11,12,10] => [2,3,2,1,3,1]
[3,5,6,4,2,8,9,7,1,11,12,10] => [3,1,3,1,3,1]
[4,5,3,6,2,8,9,7,1,11,12,10] => [2,2,3,1,3,1]
[3,5,7,8,6,4,2,9,1,11,12,10] => [4,1,1,2,3,1]
[3,6,7,5,8,4,2,9,1,11,12,10] => [3,2,1,2,3,1]
[4,5,3,7,8,6,2,9,1,11,12,10] => [2,3,1,2,3,1]
[4,6,7,5,3,8,2,9,1,11,12,10] => [3,1,2,2,3,1]
[5,6,4,7,3,8,2,9,1,11,12,10] => [2,2,2,2,3,1]
[2,4,6,8,10,11,9,7,5,3,1,12] => [6,1,1,1,1,2]
[2,4,6,9,10,8,11,7,5,3,1,12] => [5,2,1,1,1,2]
[2,4,7,8,6,10,11,9,5,3,1,12] => [4,3,1,1,1,2]
[2,4,7,9,10,8,6,11,5,3,1,12] => [5,1,2,1,1,2]
[2,4,8,9,7,10,6,11,5,3,1,12] => [4,2,2,1,1,2]
[2,5,6,4,8,10,11,9,7,3,1,12] => [3,4,1,1,1,2]
[2,5,6,4,9,10,8,11,7,3,1,12] => [3,3,2,1,1,2]
[2,5,7,8,6,4,10,11,9,3,1,12] => [4,1,3,1,1,2]
[2,6,7,5,8,4,10,11,9,3,1,12] => [3,2,3,1,1,2]
[2,5,7,9,10,8,6,4,11,3,1,12] => [5,1,1,2,1,2]
[2,5,8,9,7,10,6,4,11,3,1,12] => [4,2,1,2,1,2]
[2,6,7,5,9,10,8,4,11,3,1,12] => [3,3,1,2,1,2]
[2,6,8,9,7,5,10,4,11,3,1,12] => [4,1,2,2,1,2]
[2,7,8,6,9,5,10,4,11,3,1,12] => [3,2,2,2,1,2]
[3,4,2,6,8,10,11,9,7,5,1,12] => [2,5,1,1,1,2]
[3,4,2,6,9,10,8,11,7,5,1,12] => [2,4,2,1,1,2]
[3,4,2,7,8,6,10,11,9,5,1,12] => [2,3,3,1,1,2]
[3,4,2,7,9,10,8,6,11,5,1,12] => [2,4,1,2,1,2]
[3,4,2,8,9,7,10,6,11,5,1,12] => [2,3,2,2,1,2]
[3,5,6,4,2,8,10,11,9,7,1,12] => [3,1,4,1,1,2]
[3,5,6,4,2,9,10,8,11,7,1,12] => [3,1,3,2,1,2]
[4,5,3,6,2,8,10,11,9,7,1,12] => [2,2,4,1,1,2]
[4,5,3,6,2,9,10,8,11,7,1,12] => [2,2,3,2,1,2]
[3,5,7,8,6,4,2,10,11,9,1,12] => [4,1,1,3,1,2]
[3,6,7,5,8,4,2,10,11,9,1,12] => [3,2,1,3,1,2]
[4,5,3,7,8,6,2,10,11,9,1,12] => [2,3,1,3,1,2]
[4,6,7,5,3,8,2,10,11,9,1,12] => [3,1,2,3,1,2]
[5,6,4,7,3,8,2,10,11,9,1,12] => [2,2,2,3,1,2]
[3,5,7,9,10,8,6,4,2,11,1,12] => [5,1,1,1,2,2]
[3,5,8,9,7,10,6,4,2,11,1,12] => [4,2,1,1,2,2]
[3,6,7,5,9,10,8,4,2,11,1,12] => [3,3,1,1,2,2]
[3,6,8,9,7,5,10,4,2,11,1,12] => [4,1,2,1,2,2]
[3,7,8,6,9,5,10,4,2,11,1,12] => [3,2,2,1,2,2]
[4,5,3,7,9,10,8,6,2,11,1,12] => [2,4,1,1,2,2]
[4,5,3,8,9,7,10,6,2,11,1,12] => [2,3,2,1,2,2]
[4,6,7,5,3,9,10,8,2,11,1,12] => [3,1,3,1,2,2]
[5,6,4,7,3,9,10,8,2,11,1,12] => [2,2,3,1,2,2]
[4,6,8,9,7,5,3,10,2,11,1,12] => [4,1,1,2,2,2]
[4,7,8,6,9,5,3,10,2,11,1,12] => [3,2,1,2,2,2]
[5,6,4,8,9,7,3,10,2,11,1,12] => [2,3,1,2,2,2]
[5,7,8,6,4,9,3,10,2,11,1,12] => [3,1,2,2,2,2]
[3,2,5,4,7,6,9,8,10,12,11,1] => [1,2,2,2,3,1,1]
[3,2,5,4,7,6,8,11,9,10,12,1] => [1,2,2,3,3,1]
[3,2,5,4,7,6,8,10,9,12,11,1] => [1,2,2,3,2,1,1]
[3,2,5,4,7,6,8,9,12,10,11,1] => [1,2,2,4,2,1]
[3,2,5,4,6,9,7,8,11,10,12,1] => [1,2,3,3,2,1]
[3,2,5,4,6,9,7,8,10,12,11,1] => [1,2,3,4,1,1]
[3,2,5,4,6,8,7,11,9,10,12,1] => [1,2,3,2,3,1]
[3,2,5,4,6,8,7,10,9,12,11,1] => [1,2,3,2,2,1,1]
[3,2,5,4,6,8,7,9,12,10,11,1] => [1,2,3,3,2,1]
[3,2,5,4,6,7,11,8,9,10,12,1] => [1,2,4,4,1]
[3,2,5,4,6,7,10,8,9,12,11,1] => [1,2,4,3,1,1]
[3,2,5,4,6,7,9,8,12,10,11,1] => [1,2,4,2,2,1]
[3,2,5,4,6,7,8,12,9,10,11,1] => [1,2,5,3,1]
[3,2,4,7,5,6,9,8,11,10,12,1] => [1,3,3,2,2,1]
[3,2,4,7,5,6,9,8,10,12,11,1] => [1,3,3,3,1,1]
[3,2,4,7,5,6,8,11,9,10,12,1] => [1,3,4,3,1]
[3,2,4,7,5,6,8,10,9,12,11,1] => [1,3,4,2,1,1]
[3,2,4,7,5,6,8,9,12,10,11,1] => [1,3,5,2,1]
[3,2,4,6,5,9,7,8,11,10,12,1] => [1,3,2,3,2,1]
[3,2,4,6,5,9,7,8,10,12,11,1] => [1,3,2,4,1,1]
[3,2,4,6,5,8,7,11,9,10,12,1] => [1,3,2,2,3,1]
[3,2,4,6,5,8,7,10,9,12,11,1] => [1,3,2,2,2,1,1]
[3,2,4,6,5,8,7,9,12,10,11,1] => [1,3,2,3,2,1]
[3,2,4,6,5,7,11,8,9,10,12,1] => [1,3,3,4,1]
[3,2,4,6,5,7,10,8,9,12,11,1] => [1,3,3,3,1,1]
[3,2,4,6,5,7,9,8,12,10,11,1] => [1,3,3,2,2,1]
[3,2,4,6,5,7,8,12,9,10,11,1] => [1,3,4,3,1]
[3,2,4,5,9,6,7,8,11,10,12,1] => [1,4,4,2,1]
[3,2,4,5,9,6,7,8,10,12,11,1] => [1,4,5,1,1]
[3,2,4,5,8,6,7,11,9,10,12,1] => [1,4,3,3,1]
[3,2,4,5,8,6,7,10,9,12,11,1] => [1,4,3,2,1,1]
[3,2,4,5,8,6,7,9,12,10,11,1] => [1,4,4,2,1]
[3,2,4,5,7,6,11,8,9,10,12,1] => [1,4,2,4,1]
[3,2,4,5,7,6,10,8,9,12,11,1] => [1,4,2,3,1,1]
[3,2,4,5,7,6,9,8,12,10,11,1] => [1,4,2,2,2,1]
[3,2,4,5,7,6,8,12,9,10,11,1] => [1,4,3,3,1]
[3,2,4,5,6,11,7,8,9,10,12,1] => [1,5,5,1]
[3,2,4,5,6,10,7,8,9,12,11,1] => [1,5,4,1,1]
[3,2,4,5,6,9,7,8,12,10,11,1] => [1,5,3,2,1]
[3,2,4,5,6,8,7,12,9,10,11,1] => [1,5,2,3,1]
[3,2,4,5,6,7,12,8,9,10,11,1] => [1,6,4,1]
[2,5,3,4,7,6,9,8,11,10,12,1] => [2,3,2,2,2,1]
[2,5,3,4,7,6,9,8,10,12,11,1] => [2,3,2,3,1,1]
[2,5,3,4,7,6,8,11,9,10,12,1] => [2,3,3,3,1]
[2,5,3,4,7,6,8,10,9,12,11,1] => [2,3,3,2,1,1]
[2,5,3,4,7,6,8,9,12,10,11,1] => [2,3,4,2,1]
[2,5,3,4,6,9,7,8,11,10,12,1] => [2,4,3,2,1]
[2,5,3,4,6,9,7,8,10,12,11,1] => [2,4,4,1,1]
[2,5,3,4,6,8,7,11,9,10,12,1] => [2,4,2,3,1]
[2,5,3,4,6,8,7,10,9,12,11,1] => [2,4,2,2,1,1]
[2,5,3,4,6,8,7,9,12,10,11,1] => [2,4,3,2,1]
[2,5,3,4,6,7,11,8,9,10,12,1] => [2,5,4,1]
[2,5,3,4,6,7,10,8,9,12,11,1] => [2,5,3,1,1]
[2,5,3,4,6,7,9,8,12,10,11,1] => [2,5,2,2,1]
[2,5,3,4,6,7,8,12,9,10,11,1] => [2,6,3,1]
[2,4,3,7,5,6,9,8,11,10,12,1] => [2,2,3,2,2,1]
[2,4,3,7,5,6,9,8,10,12,11,1] => [2,2,3,3,1,1]
[2,4,3,7,5,6,8,11,9,10,12,1] => [2,2,4,3,1]
[2,4,3,7,5,6,8,10,9,12,11,1] => [2,2,4,2,1,1]
[2,4,3,7,5,6,8,9,12,10,11,1] => [2,2,5,2,1]
[2,4,3,6,5,9,7,8,11,10,12,1] => [2,2,2,3,2,1]
[2,4,3,6,5,9,7,8,10,12,11,1] => [2,2,2,4,1,1]
[2,4,3,6,5,8,7,11,9,10,12,1] => [2,2,2,2,3,1]
[2,4,3,6,5,8,7,9,12,10,11,1] => [2,2,2,3,2,1]
[2,4,3,6,5,7,11,8,9,10,12,1] => [2,2,3,4,1]
[2,4,3,6,5,7,10,8,9,12,11,1] => [2,2,3,3,1,1]
[2,4,3,6,5,7,9,8,12,10,11,1] => [2,2,3,2,2,1]
[2,4,3,6,5,7,8,12,9,10,11,1] => [2,2,4,3,1]
[2,4,3,5,9,6,7,8,11,10,12,1] => [2,3,4,2,1]
[2,4,3,5,9,6,7,8,10,12,11,1] => [2,3,5,1,1]
[2,4,3,5,8,6,7,11,9,10,12,1] => [2,3,3,3,1]
[2,4,3,5,8,6,7,10,9,12,11,1] => [2,3,3,2,1,1]
[2,4,3,5,8,6,7,9,12,10,11,1] => [2,3,4,2,1]
[2,4,3,5,7,6,11,8,9,10,12,1] => [2,3,2,4,1]
[2,4,3,5,7,6,10,8,9,12,11,1] => [2,3,2,3,1,1]
[2,4,3,5,7,6,9,8,12,10,11,1] => [2,3,2,2,2,1]
[2,4,3,5,7,6,8,12,9,10,11,1] => [2,3,3,3,1]
[2,4,3,5,6,11,7,8,9,10,12,1] => [2,4,5,1]
[2,4,3,5,6,10,7,8,9,12,11,1] => [2,4,4,1,1]
[2,4,3,5,6,9,7,8,12,10,11,1] => [2,4,3,2,1]
[2,4,3,5,6,8,7,12,9,10,11,1] => [2,4,2,3,1]
[2,4,3,5,6,7,12,8,9,10,11,1] => [2,5,4,1]
[2,3,7,4,5,6,9,8,11,10,12,1] => [3,4,2,2,1]
[2,3,7,4,5,6,9,8,10,12,11,1] => [3,4,3,1,1]
[2,3,7,4,5,6,8,11,9,10,12,1] => [3,5,3,1]
[2,3,7,4,5,6,8,10,9,12,11,1] => [3,5,2,1,1]
[2,3,7,4,5,6,8,9,12,10,11,1] => [3,6,2,1]
[2,3,6,4,5,9,7,8,11,10,12,1] => [3,3,3,2,1]
[2,3,6,4,5,9,7,8,10,12,11,1] => [3,3,4,1,1]
[2,3,6,4,5,8,7,11,9,10,12,1] => [3,3,2,3,1]
[2,3,6,4,5,8,7,10,9,12,11,1] => [3,3,2,2,1,1]
[2,3,6,4,5,8,7,9,12,10,11,1] => [3,3,3,2,1]
[2,3,6,4,5,7,11,8,9,10,12,1] => [3,4,4,1]
[2,3,6,4,5,7,10,8,9,12,11,1] => [3,4,3,1,1]
[2,3,6,4,5,7,9,8,12,10,11,1] => [3,4,2,2,1]
[2,3,6,4,5,7,8,12,9,10,11,1] => [3,5,3,1]
[2,3,5,4,9,6,7,8,11,10,12,1] => [3,2,4,2,1]
[2,3,5,4,9,6,7,8,10,12,11,1] => [3,2,5,1,1]
[2,3,5,4,8,6,7,11,9,10,12,1] => [3,2,3,3,1]
[2,3,5,4,8,6,7,10,9,12,11,1] => [3,2,3,2,1,1]
[2,3,5,4,8,6,7,9,12,10,11,1] => [3,2,4,2,1]
[2,3,5,4,7,6,11,8,9,10,12,1] => [3,2,2,4,1]
[2,3,5,4,7,6,10,8,9,12,11,1] => [3,2,2,3,1,1]
[2,3,5,4,7,6,9,8,12,10,11,1] => [3,2,2,2,2,1]
[2,3,5,4,7,6,8,12,9,10,11,1] => [3,2,3,3,1]
[2,3,5,4,6,11,7,8,9,10,12,1] => [3,3,5,1]
[2,3,5,4,6,10,7,8,9,12,11,1] => [3,3,4,1,1]
[2,3,5,4,6,9,7,8,12,10,11,1] => [3,3,3,2,1]
[2,3,5,4,6,8,7,12,9,10,11,1] => [3,3,2,3,1]
[2,3,5,4,6,7,12,8,9,10,11,1] => [3,4,4,1]
[2,3,4,9,5,6,7,8,11,10,12,1] => [4,5,2,1]
[2,3,4,9,5,6,7,8,10,12,11,1] => [4,6,1,1]
[2,3,4,8,5,6,7,11,9,10,12,1] => [4,4,3,1]
[2,3,4,8,5,6,7,10,9,12,11,1] => [4,4,2,1,1]
[2,3,4,8,5,6,7,9,12,10,11,1] => [4,5,2,1]
[2,3,4,7,5,6,11,8,9,10,12,1] => [4,3,4,1]
[2,3,4,7,5,6,10,8,9,12,11,1] => [4,3,3,1,1]
[2,3,4,7,5,6,9,8,12,10,11,1] => [4,3,2,2,1]
[2,3,4,7,5,6,8,12,9,10,11,1] => [4,4,3,1]
[2,3,4,6,5,11,7,8,9,10,12,1] => [4,2,5,1]
[2,3,4,6,5,10,7,8,9,12,11,1] => [4,2,4,1,1]
[2,3,4,6,5,9,7,8,12,10,11,1] => [4,2,3,2,1]
[2,3,4,6,5,8,7,12,9,10,11,1] => [4,2,2,3,1]
[2,3,4,6,5,7,12,8,9,10,11,1] => [4,3,4,1]
[2,3,4,5,11,6,7,8,9,10,12,1] => [5,6,1]
[2,3,4,5,10,6,7,8,9,12,11,1] => [5,5,1,1]
[2,3,4,5,9,6,7,8,12,10,11,1] => [5,4,2,1]
[2,3,4,5,8,6,7,12,9,10,11,1] => [5,3,3,1]
[2,3,4,5,7,6,12,8,9,10,11,1] => [5,2,4,1]
[3,7,8,2,4,9,10,1,5,11,12,6] => [3,4,4,1]
[3,7,8,2,4,9,10,11,1,5,12,6] => [3,5,3,1]
[3,7,8,9,2,4,10,1,5,11,12,6] => [4,3,4,1]
[3,7,8,9,2,4,10,11,1,5,12,6] => [4,4,3,1]
[3,7,8,9,10,2,4,11,1,5,12,6] => [5,3,3,1]
[7,3,8,2,4,9,10,1,5,11,12,6] => [1,2,4,4,1]
[7,3,8,2,4,9,10,11,1,5,12,6] => [1,2,5,3,1]
[7,3,8,9,2,4,10,1,5,11,12,6] => [1,3,3,4,1]
[7,3,8,9,2,4,10,11,1,5,12,6] => [1,3,4,3,1]
[7,3,8,9,10,2,4,11,1,5,12,6] => [1,4,3,3,1]
[7,8,3,9,2,4,10,1,5,11,12,6] => [2,2,3,4,1]
[7,8,3,9,2,4,10,11,1,5,12,6] => [2,2,4,3,1]
[7,8,3,9,10,2,4,11,1,5,12,6] => [2,3,3,3,1]
[7,8,9,3,10,2,4,11,1,5,12,6] => [3,2,3,3,1]
[2,3,7,8,4,9,10,1,5,11,12,6] => [4,3,4,1]
[2,3,7,8,4,9,10,11,1,5,12,6] => [4,4,3,1]
[2,3,7,8,9,4,10,1,5,11,12,6] => [5,2,4,1]
[2,3,7,8,9,4,10,11,1,5,12,6] => [5,3,3,1]
[2,3,7,8,9,10,4,11,1,5,12,6] => [6,2,3,1]
[7,2,3,8,4,9,10,1,5,11,12,6] => [1,3,3,4,1]
[7,2,3,8,4,9,10,11,1,5,12,6] => [1,3,4,3,1]
[7,2,3,8,9,4,10,1,5,11,12,6] => [1,4,2,4,1]
[7,2,3,8,9,4,10,11,1,5,12,6] => [1,4,3,3,1]
[7,2,3,8,9,10,4,11,1,5,12,6] => [1,5,2,3,1]
[7,8,2,3,9,4,10,1,5,11,12,6] => [2,3,2,4,1]
[7,8,2,3,9,4,10,11,1,5,12,6] => [2,3,3,3,1]
[7,8,2,3,9,10,4,11,1,5,12,6] => [2,4,2,3,1]
[7,8,9,2,3,10,4,11,1,5,12,6] => [3,3,2,3,1]
[2,7,3,8,4,9,10,1,5,11,12,6] => [2,2,3,4,1]
[2,7,3,8,4,9,10,11,1,5,12,6] => [2,2,4,3,1]
[2,7,3,8,9,4,10,1,5,11,12,6] => [2,3,2,4,1]
[2,7,3,8,9,4,10,11,1,5,12,6] => [2,3,3,3,1]
[2,7,3,8,9,10,4,11,1,5,12,6] => [2,4,2,3,1]
[2,7,8,3,9,4,10,1,5,11,12,6] => [3,2,2,4,1]
[2,7,8,3,9,4,10,11,1,5,12,6] => [3,2,3,3,1]
[2,7,8,3,9,10,4,11,1,5,12,6] => [3,3,2,3,1]
[2,7,8,9,3,10,4,11,1,5,12,6] => [4,2,2,3,1]
[7,2,8,3,9,4,10,1,5,11,12,6] => [1,2,2,2,4,1]
[7,2,8,3,9,4,10,11,1,5,12,6] => [1,2,2,3,3,1]
[7,2,8,3,9,10,4,11,1,5,12,6] => [1,2,3,2,3,1]
[7,2,8,9,3,10,4,11,1,5,12,6] => [1,3,2,2,3,1]
[7,8,2,9,3,10,4,11,1,5,12,6] => [2,2,2,2,3,1]
[3,7,8,1,2,4,9,10,5,11,12,6] => [3,5,3,1]
[3,7,8,1,2,4,9,10,11,5,12,6] => [3,6,2,1]
[3,7,8,9,1,2,4,10,5,11,12,6] => [4,4,3,1]
[3,7,8,9,1,2,4,10,11,5,12,6] => [4,5,2,1]
[3,7,8,9,10,1,2,4,11,5,12,6] => [5,4,2,1]
[7,3,8,1,2,4,9,10,5,11,12,6] => [1,2,5,3,1]
[7,3,8,1,2,4,9,10,11,5,12,6] => [1,2,6,2,1]
[7,3,8,9,1,2,4,10,5,11,12,6] => [1,3,4,3,1]
[7,3,8,9,1,2,4,10,11,5,12,6] => [1,3,5,2,1]
[7,3,8,9,10,1,2,4,11,5,12,6] => [1,4,4,2,1]
[7,8,3,9,1,2,4,10,5,11,12,6] => [2,2,4,3,1]
[7,8,3,9,1,2,4,10,11,5,12,6] => [2,2,5,2,1]
[7,8,3,9,10,1,2,4,11,5,12,6] => [2,3,4,2,1]
[7,8,9,3,10,1,2,4,11,5,12,6] => [3,2,4,2,1]
[2,3,7,8,1,4,9,10,5,11,12,6] => [4,4,3,1]
[2,3,7,8,1,4,9,10,11,5,12,6] => [4,5,2,1]
[2,3,7,8,9,1,4,10,5,11,12,6] => [5,3,3,1]
[2,3,7,8,9,1,4,10,11,5,12,6] => [5,4,2,1]
[2,3,7,8,9,10,1,4,11,5,12,6] => [6,3,2,1]
[7,2,3,8,1,4,9,10,5,11,12,6] => [1,3,4,3,1]
[7,2,3,8,1,4,9,10,11,5,12,6] => [1,3,5,2,1]
[7,2,3,8,9,1,4,10,5,11,12,6] => [1,4,3,3,1]
[7,2,3,8,9,1,4,10,11,5,12,6] => [1,4,4,2,1]
[7,2,3,8,9,10,1,4,11,5,12,6] => [1,5,3,2,1]
[7,8,2,3,9,1,4,10,5,11,12,6] => [2,3,3,3,1]
[7,8,2,3,9,1,4,10,11,5,12,6] => [2,3,4,2,1]
[7,8,2,3,9,10,1,4,11,5,12,6] => [2,4,3,2,1]
[7,8,9,2,3,10,1,4,11,5,12,6] => [3,3,3,2,1]
[2,7,3,8,1,4,9,10,5,11,12,6] => [2,2,4,3,1]
[2,7,3,8,1,4,9,10,11,5,12,6] => [2,2,5,2,1]
[2,7,3,8,9,1,4,10,5,11,12,6] => [2,3,3,3,1]
[2,7,3,8,9,1,4,10,11,5,12,6] => [2,3,4,2,1]
[2,7,3,8,9,10,1,4,11,5,12,6] => [2,4,3,2,1]
[2,7,8,3,9,1,4,10,5,11,12,6] => [3,2,3,3,1]
[2,7,8,3,9,1,4,10,11,5,12,6] => [3,2,4,2,1]
[2,7,8,3,9,10,1,4,11,5,12,6] => [3,3,3,2,1]
[2,7,8,9,3,10,1,4,11,5,12,6] => [4,2,3,2,1]
[7,2,8,3,9,1,4,10,5,11,12,6] => [1,2,2,3,3,1]
[7,2,8,3,9,1,4,10,11,5,12,6] => [1,2,2,4,2,1]
[7,2,8,3,9,10,1,4,11,5,12,6] => [1,2,3,3,2,1]
[7,2,8,9,3,10,1,4,11,5,12,6] => [1,3,2,3,2,1]
[7,8,2,9,3,10,1,4,11,5,12,6] => [2,2,2,3,2,1]
[1,2,3,7,8,4,9,10,5,11,12,6] => [5,3,3,1]
[1,2,3,7,8,4,9,10,11,5,12,6] => [5,4,2,1]
[1,2,3,7,8,9,4,10,5,11,12,6] => [6,2,3,1]
[1,2,3,7,8,9,4,10,11,5,12,6] => [6,3,2,1]
[1,2,3,7,8,9,10,4,11,5,12,6] => [7,2,2,1]
[7,1,2,3,8,4,9,10,5,11,12,6] => [1,4,3,3,1]
[7,1,2,3,8,4,9,10,11,5,12,6] => [1,4,4,2,1]
[7,1,2,3,8,9,4,10,5,11,12,6] => [1,5,2,3,1]
[7,1,2,3,8,9,4,10,11,5,12,6] => [1,5,3,2,1]
[7,1,2,3,8,9,10,4,11,5,12,6] => [1,6,2,2,1]
[7,8,1,2,3,9,4,10,5,11,12,6] => [2,4,2,3,1]
[7,8,1,2,3,9,4,10,11,5,12,6] => [2,4,3,2,1]
[7,8,1,2,3,9,10,4,11,5,12,6] => [2,5,2,2,1]
[2,7,1,3,8,4,9,10,5,11,12,6] => [2,3,3,3,1]
[2,7,1,3,8,4,9,10,11,5,12,6] => [2,3,4,2,1]
[2,7,1,3,8,9,4,10,5,11,12,6] => [2,4,2,3,1]
[2,7,1,3,8,9,4,10,11,5,12,6] => [2,4,3,2,1]
[2,7,1,3,8,9,10,4,11,5,12,6] => [2,5,2,2,1]
[2,7,8,1,3,9,4,10,5,11,12,6] => [3,3,2,3,1]
[2,7,8,1,3,9,4,10,11,5,12,6] => [3,3,3,2,1]
[2,7,8,1,3,9,10,4,11,5,12,6] => [3,4,2,2,1]
[2,7,8,9,1,3,10,4,11,5,12,6] => [4,3,2,2,1]
[7,2,8,1,3,9,4,10,5,11,12,6] => [1,2,3,2,3,1]
[7,2,8,1,3,9,4,10,11,5,12,6] => [1,2,3,3,2,1]
[7,2,8,1,3,9,10,4,11,5,12,6] => [1,2,4,2,2,1]
[7,2,8,9,1,3,10,4,11,5,12,6] => [1,3,3,2,2,1]
[7,8,2,9,1,3,10,4,11,5,12,6] => [2,2,3,2,2,1]
[1,2,7,3,8,4,9,10,5,11,12,6] => [3,2,3,3,1]
[1,2,7,3,8,4,9,10,11,5,12,6] => [3,2,4,2,1]
[1,2,7,3,8,9,4,10,5,11,12,6] => [3,3,2,3,1]
[1,2,7,3,8,9,4,10,11,5,12,6] => [3,3,3,2,1]
[1,2,7,3,8,9,10,4,11,5,12,6] => [3,4,2,2,1]
[1,2,7,8,3,9,4,10,5,11,12,6] => [4,2,2,3,1]
[1,2,7,8,3,9,4,10,11,5,12,6] => [4,2,3,2,1]
[1,2,7,8,3,9,10,4,11,5,12,6] => [4,3,2,2,1]
[1,2,7,8,9,3,10,4,11,5,12,6] => [5,2,2,2,1]
[7,1,2,8,3,9,4,10,5,11,12,6] => [1,3,2,2,3,1]
[7,1,2,8,3,9,4,10,11,5,12,6] => [1,3,2,3,2,1]
[7,1,2,8,3,9,10,4,11,5,12,6] => [1,3,3,2,2,1]
[7,1,2,8,9,3,10,4,11,5,12,6] => [1,4,2,2,2,1]
[1,7,2,8,3,9,4,10,5,11,12,6] => [2,2,2,2,3,1]
[1,7,2,8,3,9,4,10,11,5,12,6] => [2,2,2,3,2,1]
[1,7,2,8,3,9,10,4,11,5,12,6] => [2,2,3,2,2,1]
[1,7,2,8,9,3,10,4,11,5,12,6] => [2,3,2,2,2,1]
[11,10,1,2,3,4,5,6,7,8,12,9] => [1,1,9,1]
[12,10,1,2,3,4,5,6,7,11,8,9] => [1,1,8,2]
[12,11,1,2,3,4,5,6,10,7,8,9] => [1,1,7,3]
[12,11,1,2,3,4,5,10,6,7,8,9] => [1,1,6,4]
[11,10,1,2,3,4,12,5,6,7,8,9] => [1,1,5,5]
[12,10,1,2,3,11,4,5,6,7,8,9] => [1,1,4,6]
[12,11,1,2,10,3,4,5,6,7,8,9] => [1,1,3,7]
[12,11,1,10,2,3,4,5,6,7,8,9] => [1,1,2,8]
[10,11,12,1,2,3,4,5,6,7,8,9] => [3,9]
[7,6,8,5,9,4,10,3,12,11,1,2] => [1,2,2,2,2,1,2]
[7,6,8,5,9,4,11,10,2,3,12,1] => [1,2,2,2,1,3,1]
[7,6,8,5,9,4,12,10,2,11,1,3] => [1,2,2,2,1,2,2]
[7,6,8,5,9,4,12,11,10,1,2,3] => [1,2,2,2,1,1,3]
[7,6,8,5,10,9,3,4,11,2,12,1] => [1,2,2,1,3,2,1]
[7,6,8,5,10,9,3,4,12,11,1,2] => [1,2,2,1,3,1,2]
[7,6,8,5,11,9,3,10,2,4,12,1] => [1,2,2,1,2,3,1]
[7,6,8,5,12,9,3,10,2,11,1,4] => [1,2,2,1,2,2,2]
[7,6,8,5,12,9,3,11,10,1,2,4] => [1,2,2,1,2,1,3]
[7,6,8,5,11,10,9,2,3,4,12,1] => [1,2,2,1,1,4,1]
[7,6,8,5,12,10,9,2,3,11,1,4] => [1,2,2,1,1,3,2]
[7,6,8,5,12,11,9,2,10,1,3,4] => [1,2,2,1,1,2,3]
[7,6,8,5,12,11,10,9,1,2,3,4] => [1,2,2,1,1,1,4]
[7,6,9,8,4,5,10,3,11,2,12,1] => [1,2,1,3,2,2,1]
[7,6,9,8,4,5,10,3,12,11,1,2] => [1,2,1,3,2,1,2]
[7,6,9,8,4,5,11,10,2,3,12,1] => [1,2,1,3,1,3,1]
[7,6,9,8,4,5,12,10,2,11,1,3] => [1,2,1,3,1,2,2]
[7,6,9,8,4,5,12,11,10,1,2,3] => [1,2,1,3,1,1,3]
[7,6,10,8,4,9,3,5,11,2,12,1] => [1,2,1,2,3,2,1]
[7,6,10,8,4,9,3,5,12,11,1,2] => [1,2,1,2,3,1,2]
[7,6,11,8,4,9,3,10,2,5,12,1] => [1,2,1,2,2,3,1]
[7,6,12,8,4,9,3,10,2,11,1,5] => [1,2,1,2,2,2,2]
[7,6,12,8,4,9,3,11,10,1,2,5] => [1,2,1,2,2,1,3]
[7,6,11,8,4,10,9,2,3,5,12,1] => [1,2,1,2,1,4,1]
[7,6,12,8,4,10,9,2,3,11,1,5] => [1,2,1,2,1,3,2]
[7,6,12,8,4,11,9,2,10,1,3,5] => [1,2,1,2,1,2,3]
[7,6,12,8,4,11,10,9,1,2,3,5] => [1,2,1,2,1,1,4]
[7,6,10,9,8,3,4,5,11,2,12,1] => [1,2,1,1,4,2,1]
[7,6,10,9,8,3,4,5,12,11,1,2] => [1,2,1,1,4,1,2]
[7,6,11,9,8,3,4,10,2,5,12,1] => [1,2,1,1,3,3,1]
[7,6,12,9,8,3,4,10,2,11,1,5] => [1,2,1,1,3,2,2]
[7,6,12,9,8,3,4,11,10,1,2,5] => [1,2,1,1,3,1,3]
[7,6,11,10,8,3,9,2,4,5,12,1] => [1,2,1,1,2,4,1]
[7,6,12,10,8,3,9,2,4,11,1,5] => [1,2,1,1,2,3,2]
[7,6,12,11,8,3,9,2,10,1,4,5] => [1,2,1,1,2,2,3]
[7,6,12,11,8,3,10,9,1,2,4,5] => [1,2,1,1,2,1,4]
[7,6,11,10,9,8,2,3,4,5,12,1] => [1,2,1,1,1,5,1]
[7,6,12,10,9,8,2,3,4,11,1,5] => [1,2,1,1,1,4,2]
[7,6,12,11,9,8,2,3,10,1,4,5] => [1,2,1,1,1,3,3]
[7,6,12,11,10,8,2,9,1,3,4,5] => [1,2,1,1,1,2,4]
[7,6,12,11,10,9,8,1,2,3,4,5] => [1,2,1,1,1,1,5]
[8,7,5,6,9,4,10,3,11,2,12,1] => [1,1,3,2,2,2,1]
[8,7,5,6,9,4,10,3,12,11,1,2] => [1,1,3,2,2,1,2]
[8,7,5,6,9,4,11,10,2,3,12,1] => [1,1,3,2,1,3,1]
[8,7,5,6,9,4,12,10,2,11,1,3] => [1,1,3,2,1,2,2]
[8,7,5,6,9,4,12,11,10,1,2,3] => [1,1,3,2,1,1,3]
[8,7,5,6,10,9,3,4,11,2,12,1] => [1,1,3,1,3,2,1]
[8,7,5,6,10,9,3,4,12,11,1,2] => [1,1,3,1,3,1,2]
[8,7,5,6,11,9,3,10,2,4,12,1] => [1,1,3,1,2,3,1]
[8,7,5,6,12,9,3,10,2,11,1,4] => [1,1,3,1,2,2,2]
[8,7,5,6,12,9,3,11,10,1,2,4] => [1,1,3,1,2,1,3]
[8,7,5,6,11,10,9,2,3,4,12,1] => [1,1,3,1,1,4,1]
[8,7,5,6,12,10,9,2,3,11,1,4] => [1,1,3,1,1,3,2]
[8,7,5,6,12,11,9,2,10,1,3,4] => [1,1,3,1,1,2,3]
[8,7,5,6,12,11,10,9,1,2,3,4] => [1,1,3,1,1,1,4]
[9,7,5,8,4,6,10,3,11,2,12,1] => [1,1,2,3,2,2,1]
[9,7,5,8,4,6,10,3,12,11,1,2] => [1,1,2,3,2,1,2]
[9,7,5,8,4,6,11,10,2,3,12,1] => [1,1,2,3,1,3,1]
[9,7,5,8,4,6,12,10,2,11,1,3] => [1,1,2,3,1,2,2]
[9,7,5,8,4,6,12,11,10,1,2,3] => [1,1,2,3,1,1,3]
[10,7,5,8,4,9,3,6,11,2,12,1] => [1,1,2,2,3,2,1]
[10,7,5,8,4,9,3,6,12,11,1,2] => [1,1,2,2,3,1,2]
[11,7,5,8,4,9,3,10,2,6,12,1] => [1,1,2,2,2,3,1]
[12,7,5,8,4,9,3,10,2,11,1,6] => [1,1,2,2,2,2,2]
[12,7,5,8,4,9,3,11,10,1,2,6] => [1,1,2,2,2,1,3]
[11,7,5,8,4,10,9,2,3,6,12,1] => [1,1,2,2,1,4,1]
[12,7,5,8,4,10,9,2,3,11,1,6] => [1,1,2,2,1,3,2]
[12,7,5,8,4,11,9,2,10,1,3,6] => [1,1,2,2,1,2,3]
[12,7,5,8,4,11,10,9,1,2,3,6] => [1,1,2,2,1,1,4]
[10,7,5,9,8,3,4,6,11,2,12,1] => [1,1,2,1,4,2,1]
[10,7,5,9,8,3,4,6,12,11,1,2] => [1,1,2,1,4,1,2]
[11,7,5,9,8,3,4,10,2,6,12,1] => [1,1,2,1,3,3,1]
[12,7,5,9,8,3,4,10,2,11,1,6] => [1,1,2,1,3,2,2]
[12,7,5,9,8,3,4,11,10,1,2,6] => [1,1,2,1,3,1,3]
[11,7,5,10,8,3,9,2,4,6,12,1] => [1,1,2,1,2,4,1]
[12,7,5,10,8,3,9,2,4,11,1,6] => [1,1,2,1,2,3,2]
[12,7,5,11,8,3,9,2,10,1,4,6] => [1,1,2,1,2,2,3]
[12,7,5,11,8,3,10,9,1,2,4,6] => [1,1,2,1,2,1,4]
[11,7,5,10,9,8,2,3,4,6,12,1] => [1,1,2,1,1,5,1]
[12,7,5,10,9,8,2,3,4,11,1,6] => [1,1,2,1,1,4,2]
[12,7,5,11,9,8,2,3,10,1,4,6] => [1,1,2,1,1,3,3]
[12,7,5,11,10,8,2,9,1,3,4,6] => [1,1,2,1,1,2,4]
[12,7,5,11,10,9,8,1,2,3,4,6] => [1,1,2,1,1,1,5]
[9,8,7,4,5,6,10,3,11,2,12,1] => [1,1,1,4,2,2,1]
[9,8,7,4,5,6,10,3,12,11,1,2] => [1,1,1,4,2,1,2]
[9,8,7,4,5,6,11,10,2,3,12,1] => [1,1,1,4,1,3,1]
[9,8,7,4,5,6,12,10,2,11,1,3] => [1,1,1,4,1,2,2]
[9,8,7,4,5,6,12,11,10,1,2,3] => [1,1,1,4,1,1,3]
[10,8,7,4,5,9,3,6,11,2,12,1] => [1,1,1,3,3,2,1]
[10,8,7,4,5,9,3,6,12,11,1,2] => [1,1,1,3,3,1,2]
[11,8,7,4,5,9,3,10,2,6,12,1] => [1,1,1,3,2,3,1]
[12,8,7,4,5,9,3,10,2,11,1,6] => [1,1,1,3,2,2,2]
[12,8,7,4,5,9,3,11,10,1,2,6] => [1,1,1,3,2,1,3]
[11,8,7,4,5,10,9,2,3,6,12,1] => [1,1,1,3,1,4,1]
[12,8,7,4,5,10,9,2,3,11,1,6] => [1,1,1,3,1,3,2]
[12,8,7,4,5,11,9,2,10,1,3,6] => [1,1,1,3,1,2,3]
[12,8,7,4,5,11,10,9,1,2,3,6] => [1,1,1,3,1,1,4]
[10,9,7,4,8,3,5,6,11,2,12,1] => [1,1,1,2,4,2,1]
[10,9,7,4,8,3,5,6,12,11,1,2] => [1,1,1,2,4,1,2]
[11,9,7,4,8,3,5,10,2,6,12,1] => [1,1,1,2,3,3,1]
[12,9,7,4,8,3,5,10,2,11,1,6] => [1,1,1,2,3,2,2]
[12,9,7,4,8,3,5,11,10,1,2,6] => [1,1,1,2,3,1,3]
[11,10,7,4,8,3,9,2,5,6,12,1] => [1,1,1,2,2,4,1]
[12,10,7,4,8,3,9,2,5,11,1,6] => [1,1,1,2,2,3,2]
[12,11,7,4,8,3,9,2,10,1,5,6] => [1,1,1,2,2,2,3]
[12,11,7,4,8,3,10,9,1,2,5,6] => [1,1,1,2,2,1,4]
[11,10,7,4,9,8,2,3,5,6,12,1] => [1,1,1,2,1,5,1]
[12,10,7,4,9,8,2,3,5,11,1,6] => [1,1,1,2,1,4,2]
[12,11,7,4,9,8,2,3,10,1,5,6] => [1,1,1,2,1,3,3]
[12,11,7,4,10,8,2,9,1,3,5,6] => [1,1,1,2,1,2,4]
[12,11,7,4,10,9,8,1,2,3,5,6] => [1,1,1,2,1,1,5]
[10,9,8,7,3,4,5,6,11,2,12,1] => [1,1,1,1,5,2,1]
[10,9,8,7,3,4,5,6,12,11,1,2] => [1,1,1,1,5,1,2]
[11,9,8,7,3,4,5,10,2,6,12,1] => [1,1,1,1,4,3,1]
[12,9,8,7,3,4,5,10,2,11,1,6] => [1,1,1,1,4,2,2]
[12,9,8,7,3,4,5,11,10,1,2,6] => [1,1,1,1,4,1,3]
[11,10,8,7,3,4,9,2,5,6,12,1] => [1,1,1,1,3,4,1]
[12,10,8,7,3,4,9,2,5,11,1,6] => [1,1,1,1,3,3,2]
[12,11,8,7,3,4,9,2,10,1,5,6] => [1,1,1,1,3,2,3]
[12,11,8,7,3,4,10,9,1,2,5,6] => [1,1,1,1,3,1,4]
[11,10,9,7,3,8,2,4,5,6,12,1] => [1,1,1,1,2,5,1]
[12,10,9,7,3,8,2,4,5,11,1,6] => [1,1,1,1,2,4,2]
[12,11,9,7,3,8,2,4,10,1,5,6] => [1,1,1,1,2,3,3]
[12,11,10,7,3,8,2,9,1,4,5,6] => [1,1,1,1,2,2,4]
[12,11,10,7,3,9,8,1,2,4,5,6] => [1,1,1,1,2,1,5]
[11,10,9,8,7,2,3,4,5,6,12,1] => [1,1,1,1,1,6,1]
[12,10,9,8,7,2,3,4,5,11,1,6] => [1,1,1,1,1,5,2]
[12,11,9,8,7,2,3,4,10,1,5,6] => [1,1,1,1,1,4,3]
[12,11,10,8,7,2,3,9,1,4,5,6] => [1,1,1,1,1,3,4]
[12,11,10,9,7,2,8,1,3,4,5,6] => [1,1,1,1,1,2,5]
[12,11,9,5,10,7,1,2,4,8,3,6] => [1,1,1,2,1,4,2]
[11,9,5,12,10,7,1,2,4,8,3,6] => [1,1,2,1,1,4,2]
[10,7,1,2,4,9,5,12,11,8,3,6] => [1,1,4,2,1,1,2]
[12,10,7,1,2,4,9,5,11,8,3,6] => [1,1,1,4,2,1,2]
[10,7,1,2,4,12,9,5,11,8,3,6] => [1,1,4,1,2,1,2]
[8,3,7,1,2,4,12,11,9,5,10,6] => [1,2,4,1,1,2,1]
[8,3,7,1,2,4,11,9,5,12,10,6] => [1,2,4,1,2,1,1]
[12,11,8,3,7,1,2,4,9,5,10,6] => [1,1,1,2,4,2,1]
[11,8,3,7,1,2,4,9,5,12,10,6] => [1,1,2,4,2,1,1]
[12,9,5,11,8,3,7,1,2,4,10,6] => [1,1,2,1,2,4,1]
[8,3,12,11,7,1,2,4,9,5,10,6] => [1,2,1,1,4,2,1]
[8,3,11,7,1,2,4,9,5,12,10,6] => [1,2,1,4,2,1,1]
[8,3,12,9,5,11,7,1,2,4,10,6] => [1,2,1,2,1,4,1]
[12,8,3,9,5,11,7,1,2,4,10,6] => [1,1,2,2,1,4,1]
[10,7,1,2,5,12,11,9,4,8,3,6] => [1,1,4,1,1,2,2]
[12,10,7,1,2,5,11,9,4,8,3,6] => [1,1,1,4,1,2,2]
[9,4,10,7,1,2,5,12,11,8,3,6] => [1,2,1,4,1,1,2]
[9,4,12,10,7,1,2,5,11,8,3,6] => [1,2,1,1,4,1,2]
[12,9,4,10,7,1,2,5,11,8,3,6] => [1,1,2,1,4,1,2]
[12,11,9,4,8,3,7,1,2,5,10,6] => [1,1,1,2,2,4,1]
[11,9,4,8,3,7,1,2,5,12,10,6] => [1,1,2,2,4,1,1]
[9,4,12,11,8,3,7,1,2,5,10,6] => [1,2,1,1,2,4,1]
[9,4,11,8,3,7,1,2,5,12,10,6] => [1,2,1,2,4,1,1]
[11,8,3,7,1,2,5,12,9,4,10,6] => [1,1,2,4,1,2,1]
[8,3,9,4,12,11,7,1,2,5,10,6] => [1,2,2,1,1,4,1]
[8,3,9,4,11,7,1,2,5,12,10,6] => [1,2,2,1,4,1,1]
[8,3,11,7,1,2,5,12,9,4,10,6] => [1,2,1,4,1,2,1]
[11,7,1,2,5,12,8,3,9,4,10,6] => [1,1,4,1,2,2,1]
[10,5,12,11,9,4,8,3,7,1,2,6] => [1,2,1,1,2,2,3]
[12,10,5,11,9,4,8,3,7,1,2,6] => [1,1,2,1,2,2,3]
[9,4,10,5,12,11,8,3,7,1,2,6] => [1,2,2,1,1,2,3]
[9,4,12,10,5,11,8,3,7,1,2,6] => [1,2,1,2,1,2,3]
[12,9,4,10,5,11,8,3,7,1,2,6] => [1,1,2,2,1,2,3]
[8,3,9,4,10,5,12,11,7,1,2,6] => [1,2,2,2,1,1,3]
[8,3,9,4,12,10,5,11,7,1,2,6] => [1,2,2,1,2,1,3]
[8,3,12,9,4,10,5,11,7,1,2,6] => [1,2,1,2,2,1,3]
[12,8,3,9,4,10,5,11,7,1,2,6] => [1,1,2,2,2,1,3]
[7,1,2,8,3,9,4,10,5,12,11,6] => [1,3,2,2,2,1,1]
[7,1,2,8,3,9,4,12,10,5,11,6] => [1,3,2,2,1,2,1]
[7,1,2,8,3,12,9,4,10,5,11,6] => [1,3,2,1,2,2,1]
[7,1,2,12,8,3,9,4,10,5,11,6] => [1,3,1,2,2,2,1]
[12,7,1,2,8,3,9,4,10,5,11,6] => [1,1,3,2,2,2,1]
[8,2,4,12,11,9,5,10,7,1,3,6] => [1,3,1,1,2,1,3]
[8,2,4,11,9,5,12,10,7,1,3,6] => [1,3,1,2,1,1,3]
[12,11,8,2,4,9,5,10,7,1,3,6] => [1,1,1,3,2,1,3]
[11,8,2,4,9,5,12,10,7,1,3,6] => [1,1,3,2,1,1,3]
[12,9,5,11,8,2,4,10,7,1,3,6] => [1,1,2,1,3,1,3]
[7,1,3,8,2,4,12,11,9,5,10,6] => [1,3,3,1,1,2,1]
[7,1,3,8,2,4,11,9,5,12,10,6] => [1,3,3,1,2,1,1]
[7,1,3,12,11,8,2,4,9,5,10,6] => [1,3,1,1,3,2,1]
[7,1,3,11,8,2,4,9,5,12,10,6] => [1,3,1,3,2,1,1]
[7,1,3,12,9,5,11,8,2,4,10,6] => [1,3,1,2,1,3,1]
[12,11,7,1,3,8,2,4,9,5,10,6] => [1,1,1,3,3,2,1]
[11,7,1,3,8,2,4,9,5,12,10,6] => [1,1,3,3,2,1,1]
[12,9,5,11,7,1,3,8,2,4,10,6] => [1,1,2,1,3,3,1]
[11,7,1,3,9,5,12,8,2,4,10,6] => [1,1,3,2,1,3,1]
[12,11,9,4,8,2,5,10,7,1,3,6] => [1,1,1,2,3,1,3]
[11,9,4,8,2,5,12,10,7,1,3,6] => [1,1,2,3,1,1,3]
[9,4,12,11,8,2,5,10,7,1,3,6] => [1,2,1,1,3,1,3]
[9,4,11,8,2,5,12,10,7,1,3,6] => [1,2,1,3,1,1,3]
[11,8,2,5,12,9,4,10,7,1,3,6] => [1,1,3,1,2,1,3]
[7,1,3,12,11,9,4,8,2,5,10,6] => [1,3,1,1,2,3,1]
[7,1,3,11,9,4,8,2,5,12,10,6] => [1,3,1,2,3,1,1]
[7,1,3,9,4,12,11,8,2,5,10,6] => [1,3,2,1,1,3,1]
[7,1,3,9,4,11,8,2,5,12,10,6] => [1,3,2,1,3,1,1]
[7,1,3,11,8,2,5,12,9,4,10,6] => [1,3,1,3,1,2,1]
[9,4,12,11,7,1,3,8,2,5,10,6] => [1,2,1,1,3,3,1]
[9,4,11,7,1,3,8,2,5,12,10,6] => [1,2,1,3,3,1,1]
[11,7,1,3,8,2,5,12,9,4,10,6] => [1,1,3,3,1,2,1]
[12,8,2,5,11,7,1,3,9,4,10,6] => [1,1,3,1,3,2,1]
[7,1,3,10,5,12,11,9,4,8,2,6] => [1,3,2,1,1,2,2]
[7,1,3,12,10,5,11,9,4,8,2,6] => [1,3,1,2,1,2,2]
[7,1,3,9,4,10,5,12,11,8,2,6] => [1,3,2,2,1,1,2]
[7,1,3,9,4,12,10,5,11,8,2,6] => [1,3,2,1,2,1,2]
[7,1,3,12,9,4,10,5,11,8,2,6] => [1,3,1,2,2,1,2]
[9,4,10,5,12,11,7,1,3,8,2,6] => [1,2,2,1,1,3,2]
[9,4,12,10,5,11,7,1,3,8,2,6] => [1,2,1,2,1,3,2]
[12,9,4,10,5,11,7,1,3,8,2,6] => [1,1,2,2,1,3,2]
[11,7,1,3,9,4,10,5,12,8,2,6] => [1,1,3,2,2,1,2]
[8,2,7,1,3,9,4,10,5,12,11,6] => [1,2,3,2,2,1,1]
[8,2,7,1,3,9,4,12,10,5,11,6] => [1,2,3,2,1,2,1]
[8,2,7,1,3,12,9,4,10,5,11,6] => [1,2,3,1,2,2,1]
[12,8,2,7,1,3,9,4,10,5,11,6] => [1,1,2,3,2,2,1]
[8,2,12,7,1,3,9,4,10,5,11,6] => [1,2,1,3,2,2,1]
[10,7,1,4,8,2,5,12,11,9,3,6] => [1,1,3,3,1,1,2]
[12,10,7,1,4,8,2,5,11,9,3,6] => [1,1,1,3,3,1,2]
[12,11,8,2,5,10,7,1,4,9,3,6] => [1,1,1,3,1,3,2]
[11,8,2,5,12,10,7,1,4,9,3,6] => [1,1,3,1,1,3,2]
[10,7,1,4,11,8,2,5,12,9,3,6] => [1,1,3,1,3,1,2]
[12,11,9,3,7,1,4,8,2,5,10,6] => [1,1,1,2,3,3,1]
[11,9,3,7,1,4,8,2,5,12,10,6] => [1,1,2,3,3,1,1]
[9,3,7,1,4,12,11,8,2,5,10,6] => [1,2,3,1,1,3,1]
[9,3,7,1,4,11,8,2,5,12,10,6] => [1,2,3,1,3,1,1]
[11,8,2,5,12,9,3,7,1,4,10,6] => [1,1,3,1,2,3,1]
[12,11,7,1,4,9,3,8,2,5,10,6] => [1,1,1,3,2,3,1]
[11,7,1,4,9,3,8,2,5,12,10,6] => [1,1,3,2,3,1,1]
[12,9,3,8,2,5,11,7,1,4,10,6] => [1,1,2,3,1,3,1]
[9,3,12,8,2,5,11,7,1,4,10,6] => [1,2,1,3,1,3,1]
[10,5,12,11,9,3,7,1,4,8,2,6] => [1,2,1,1,2,3,2]
[12,10,5,11,9,3,7,1,4,8,2,6] => [1,1,2,1,2,3,2]
[9,3,7,1,4,10,5,12,11,8,2,6] => [1,2,3,2,1,1,2]
[9,3,7,1,4,12,10,5,11,8,2,6] => [1,2,3,1,2,1,2]
[12,9,3,7,1,4,10,5,11,8,2,6] => [1,1,2,3,2,1,2]
[10,5,12,11,7,1,4,9,3,8,2,6] => [1,2,1,1,3,2,2]
[12,10,5,11,7,1,4,9,3,8,2,6] => [1,1,2,1,3,2,2]
[11,7,1,4,10,5,12,9,3,8,2,6] => [1,1,3,2,1,2,2]
[9,3,11,7,1,4,10,5,12,8,2,6] => [1,2,1,3,2,1,2]
[9,3,8,2,7,1,4,10,5,12,11,6] => [1,2,2,3,2,1,1]
[9,3,8,2,7,1,4,12,10,5,11,6] => [1,2,2,3,1,2,1]
[12,9,3,8,2,7,1,4,10,5,11,6] => [1,1,2,2,3,2,1]
[9,3,12,8,2,7,1,4,10,5,11,6] => [1,2,1,2,3,2,1]
[8,2,9,3,12,7,1,4,10,5,11,6] => [1,2,2,1,3,2,1]
[12,11,9,3,7,1,5,10,4,8,2,6] => [1,1,1,2,3,2,2]
[11,9,3,7,1,5,12,10,4,8,2,6] => [1,1,2,3,1,2,2]
[10,4,9,3,7,1,5,12,11,8,2,6] => [1,2,2,3,1,1,2]
[12,10,4,9,3,7,1,5,11,8,2,6] => [1,1,2,2,3,1,2]
[10,4,12,9,3,7,1,5,11,8,2,6] => [1,2,1,2,3,1,2]
[12,11,7,1,5,10,4,9,3,8,2,6] => [1,1,1,3,2,2,2]
[11,7,1,5,12,10,4,9,3,8,2,6] => [1,1,3,1,2,2,2]
[10,4,11,7,1,5,12,9,3,8,2,6] => [1,2,1,3,1,2,2]
[9,3,10,4,11,7,1,5,12,8,2,6] => [1,2,2,1,3,1,2]
[10,4,9,3,8,2,7,1,5,12,11,6] => [1,2,2,2,3,1,1]
[12,10,4,9,3,8,2,7,1,5,11,6] => [1,1,2,2,2,3,1]
[10,4,12,9,3,8,2,7,1,5,11,6] => [1,2,1,2,2,3,1]
[9,3,10,4,12,8,2,7,1,5,11,6] => [1,2,2,1,2,3,1]
[8,2,9,3,10,4,12,7,1,5,11,6] => [1,2,2,2,1,3,1]
[12,11,5,10,4,9,3,8,2,7,1,6] => [1,1,2,2,2,2,2]
[11,5,12,10,4,9,3,8,2,7,1,6] => [1,2,1,2,2,2,2]
[10,4,11,5,12,9,3,8,2,7,1,6] => [1,2,2,1,2,2,2]
[9,3,10,4,11,5,12,8,2,7,1,6] => [1,2,2,2,1,2,2]
[8,2,9,3,10,4,11,5,12,7,1,6] => [1,2,2,2,2,1,2]
[8,7,9,6,10,5,11,4,12,3,2,1] => [1,2,2,2,2,1,1,1]
[8,7,9,6,10,5,11,4,3,2,12,1] => [1,2,2,2,1,1,2,1]
[8,7,9,6,10,5,12,4,2,11,3,1] => [1,2,2,2,1,2,1,1]
[9,8,10,7,11,6,12,5,4,3,2,1] => [1,2,2,2,1,1,1,1,1]
[8,7,9,6,10,5,4,3,11,2,12,1] => [1,2,2,1,1,2,2,1]
[9,8,10,7,11,6,5,4,12,3,2,1] => [1,2,2,1,1,2,1,1,1]
[8,7,9,6,11,5,3,10,4,2,12,1] => [1,2,2,1,2,1,2,1]
[8,7,9,6,12,5,3,10,2,11,4,1] => [1,2,2,1,2,2,1,1]
[9,8,10,7,12,6,4,11,5,3,2,1] => [1,2,2,1,2,1,1,1,1]
[9,8,10,7,11,6,5,4,3,2,12,1] => [1,2,2,1,1,1,1,2,1]
[9,8,10,7,12,6,5,4,2,11,3,1] => [1,2,2,1,1,1,2,1,1]
[9,8,10,7,12,11,5,2,6,4,3,1] => [1,2,2,1,1,2,1,1,1]
[10,9,11,8,12,7,6,5,4,3,2,1] => [1,2,2,1,1,1,1,1,1,1]
[8,7,9,6,5,4,10,3,11,2,12,1] => [1,2,1,1,2,2,2,1]
[9,8,10,7,6,5,11,4,12,3,2,1] => [1,2,1,1,2,2,1,1,1]
[9,8,10,7,6,5,11,4,3,2,12,1] => [1,2,1,1,2,1,1,2,1]
[9,8,10,7,6,5,12,4,2,11,3,1] => [1,2,1,1,2,1,2,1,1]
[10,9,11,8,7,6,12,5,4,3,2,1] => [1,2,1,1,2,1,1,1,1,1]
[8,7,10,6,4,9,5,3,11,2,12,1] => [1,2,1,2,1,2,2,1]
[9,8,11,7,5,10,6,4,12,3,2,1] => [1,2,1,2,1,2,1,1,1]
[8,7,11,6,4,9,3,10,5,2,12,1] => [1,2,1,2,2,1,2,1]
[8,7,12,6,4,9,3,10,2,11,5,1] => [1,2,1,2,2,2,1,1]
[9,8,12,7,5,10,4,11,6,3,2,1] => [1,2,1,2,2,1,1,1,1]
[9,8,11,7,5,10,6,4,3,2,12,1] => [1,2,1,2,1,1,1,2,1]
[9,8,12,7,5,10,6,4,2,11,3,1] => [1,2,1,2,1,1,2,1,1]
[9,8,12,7,5,11,6,2,10,4,3,1] => [1,2,1,2,1,2,1,1,1]
[10,9,12,8,6,11,7,5,4,3,2,1] => [1,2,1,2,1,1,1,1,1,1]
[9,8,10,7,6,5,4,3,11,2,12,1] => [1,2,1,1,1,1,2,2,1]
[10,9,11,8,7,6,5,4,12,3,2,1] => [1,2,1,1,1,1,2,1,1,1]
[9,8,11,7,6,5,3,10,4,2,12,1] => [1,2,1,1,1,2,1,2,1]
[9,8,12,7,6,5,3,10,2,11,4,1] => [1,2,1,1,1,2,2,1,1]
[10,9,12,8,7,6,4,11,5,3,2,1] => [1,2,1,1,1,2,1,1,1,1]
[9,8,11,10,6,3,7,5,4,2,12,1] => [1,2,1,1,2,1,1,2,1]
[9,8,12,10,6,3,7,5,2,11,4,1] => [1,2,1,1,2,1,2,1,1]
[9,8,12,11,6,3,7,2,10,5,4,1] => [1,2,1,1,2,2,1,1,1]
[10,9,12,11,7,4,8,6,5,3,2,1] => [1,2,1,1,2,1,1,1,1,1]
[10,9,11,8,7,6,5,4,3,2,12,1] => [1,2,1,1,1,1,1,1,2,1]
[10,9,12,8,7,6,5,4,2,11,3,1] => [1,2,1,1,1,1,1,2,1,1]
[10,9,12,11,7,6,5,2,8,4,3,1] => [1,2,1,1,1,1,2,1,1,1]
[10,9,12,11,8,6,2,7,5,4,3,1] => [1,2,1,1,1,2,1,1,1,1]
[11,10,12,9,8,7,6,5,4,3,2,1] => [1,2,1,1,1,1,1,1,1,1,1]
[8,7,6,5,9,4,10,3,11,2,12,1] => [1,1,1,2,2,2,2,1]
[9,8,7,6,10,5,11,4,12,3,2,1] => [1,1,1,2,2,2,1,1,1]
[9,8,7,6,10,5,11,4,3,2,12,1] => [1,1,1,2,2,1,1,2,1]
[9,8,7,6,10,5,12,4,2,11,3,1] => [1,1,1,2,2,1,2,1,1]
[10,9,8,7,11,6,12,5,4,3,2,1] => [1,1,1,2,2,1,1,1,1,1]
[9,8,7,6,10,5,4,3,11,2,12,1] => [1,1,1,2,1,1,2,2,1]
[10,9,8,7,11,6,5,4,12,3,2,1] => [1,1,1,2,1,1,2,1,1,1]
[9,8,7,6,11,5,3,10,4,2,12,1] => [1,1,1,2,1,2,1,2,1]
[9,8,7,6,12,5,3,10,2,11,4,1] => [1,1,1,2,1,2,2,1,1]
[10,9,8,7,12,6,4,11,5,3,2,1] => [1,1,1,2,1,2,1,1,1,1]
[10,9,8,7,11,6,5,4,3,2,12,1] => [1,1,1,2,1,1,1,1,2,1]
[10,9,8,7,12,6,5,4,2,11,3,1] => [1,1,1,2,1,1,1,2,1,1]
[10,9,8,7,12,11,5,2,6,4,3,1] => [1,1,1,2,1,1,2,1,1,1]
[11,10,9,8,12,7,6,5,4,3,2,1] => [1,1,1,2,1,1,1,1,1,1,1]
[9,7,5,8,6,4,10,3,11,2,12,1] => [1,1,2,1,2,2,2,1]
[10,8,6,9,7,5,11,4,12,3,2,1] => [1,1,2,1,2,2,1,1,1]
[10,8,6,9,7,5,11,4,3,2,12,1] => [1,1,2,1,2,1,1,2,1]
[10,8,6,9,7,5,12,4,2,11,3,1] => [1,1,2,1,2,1,2,1,1]
[11,9,7,10,8,6,12,5,4,3,2,1] => [1,1,2,1,2,1,1,1,1,1]
[10,7,5,8,4,9,6,3,11,2,12,1] => [1,1,2,2,1,2,2,1]
[11,8,6,9,5,10,7,4,12,3,2,1] => [1,1,2,2,1,2,1,1,1]
[11,7,5,8,4,9,3,10,6,2,12,1] => [1,1,2,2,2,1,2,1]
[12,7,5,8,4,9,3,10,2,11,6,1] => [1,1,2,2,2,2,1,1]
[12,8,6,9,5,10,4,11,7,3,2,1] => [1,1,2,2,2,1,1,1,1]
[11,8,6,9,5,10,7,4,3,2,12,1] => [1,1,2,2,1,1,1,2,1]
[12,8,6,9,5,10,7,4,2,11,3,1] => [1,1,2,2,1,1,2,1,1]
[12,8,6,9,5,11,7,2,10,4,3,1] => [1,1,2,2,1,2,1,1,1]
[12,9,7,10,6,11,8,5,4,3,2,1] => [1,1,2,2,1,1,1,1,1,1]
[10,8,6,9,7,5,4,3,11,2,12,1] => [1,1,2,1,1,1,2,2,1]
[11,9,7,10,8,6,5,4,12,3,2,1] => [1,1,2,1,1,1,2,1,1,1]
[11,8,6,9,7,5,3,10,4,2,12,1] => [1,1,2,1,1,2,1,2,1]
[12,8,6,9,7,5,3,10,2,11,4,1] => [1,1,2,1,1,2,2,1,1]
[12,9,7,10,8,6,4,11,5,3,2,1] => [1,1,2,1,1,2,1,1,1,1]
[11,8,6,10,7,3,9,5,4,2,12,1] => [1,1,2,1,2,1,1,2,1]
[12,8,6,10,7,3,9,5,2,11,4,1] => [1,1,2,1,2,1,2,1,1]
[12,8,6,11,7,3,9,2,10,5,4,1] => [1,1,2,1,2,2,1,1,1]
[12,9,7,11,8,4,10,6,5,3,2,1] => [1,1,2,1,2,1,1,1,1,1]
[11,9,7,10,8,6,5,4,3,2,12,1] => [1,1,2,1,1,1,1,1,2,1]
[12,9,7,10,8,6,5,4,2,11,3,1] => [1,1,2,1,1,1,1,2,1,1]
[12,9,7,11,8,6,5,2,10,4,3,1] => [1,1,2,1,1,1,2,1,1,1]
[12,9,7,11,10,6,2,8,5,4,3,1] => [1,1,2,1,1,2,1,1,1,1]
[12,10,8,11,9,7,6,5,4,3,2,1] => [1,1,2,1,1,1,1,1,1,1,1]
[9,8,7,6,5,4,10,3,11,2,12,1] => [1,1,1,1,1,2,2,2,1]
[10,9,8,7,6,5,11,4,12,3,2,1] => [1,1,1,1,1,2,2,1,1,1]
[10,9,8,7,6,5,11,4,3,2,12,1] => [1,1,1,1,1,2,1,1,2,1]
[10,9,8,7,6,5,12,4,2,11,3,1] => [1,1,1,1,1,2,1,2,1,1]
[11,10,9,8,7,6,12,5,4,3,2,1] => [1,1,1,1,1,2,1,1,1,1,1]
[10,8,7,6,4,9,5,3,11,2,12,1] => [1,1,1,1,2,1,2,2,1]
[11,9,8,7,5,10,6,4,12,3,2,1] => [1,1,1,1,2,1,2,1,1,1]
[11,8,7,6,4,9,3,10,5,2,12,1] => [1,1,1,1,2,2,1,2,1]
[12,8,7,6,4,9,3,10,2,11,5,1] => [1,1,1,1,2,2,2,1,1]
[12,9,8,7,5,10,4,11,6,3,2,1] => [1,1,1,1,2,2,1,1,1,1]
[11,9,8,7,5,10,6,4,3,2,12,1] => [1,1,1,1,2,1,1,1,2,1]
[12,9,8,7,5,10,6,4,2,11,3,1] => [1,1,1,1,2,1,1,2,1,1]
[12,9,8,7,5,11,6,2,10,4,3,1] => [1,1,1,1,2,1,2,1,1,1]
[12,10,9,8,6,11,7,5,4,3,2,1] => [1,1,1,1,2,1,1,1,1,1,1]
[10,9,7,4,8,6,5,3,11,2,12,1] => [1,1,1,2,1,1,2,2,1]
[11,10,8,5,9,7,6,4,12,3,2,1] => [1,1,1,2,1,1,2,1,1,1]
[11,9,7,4,8,6,3,10,5,2,12,1] => [1,1,1,2,1,2,1,2,1]
[12,9,7,4,8,6,3,10,2,11,5,1] => [1,1,1,2,1,2,2,1,1]
[12,10,8,5,9,7,4,11,6,3,2,1] => [1,1,1,2,1,2,1,1,1,1]
[11,10,7,4,8,3,9,6,5,2,12,1] => [1,1,1,2,2,1,1,2,1]
[12,10,7,4,8,3,9,6,2,11,5,1] => [1,1,1,2,2,1,2,1,1]
[12,11,7,4,8,3,9,2,10,6,5,1] => [1,1,1,2,2,2,1,1,1]
[12,11,8,5,9,4,10,7,6,3,2,1] => [1,1,1,2,2,1,1,1,1,1]
[11,10,8,5,9,7,6,4,3,2,12,1] => [1,1,1,2,1,1,1,1,2,1]
[12,10,8,5,9,7,6,4,2,11,3,1] => [1,1,1,2,1,1,1,2,1,1]
[12,11,8,5,9,7,6,2,10,4,3,1] => [1,1,1,2,1,1,2,1,1,1]
[12,11,8,5,10,7,2,9,6,4,3,1] => [1,1,1,2,1,2,1,1,1,1]
[12,11,9,6,10,8,7,5,4,3,2,1] => [1,1,1,2,1,1,1,1,1,1,1]
[10,9,8,7,6,5,4,3,11,2,12,1] => [1,1,1,1,1,1,1,2,2,1]
[11,10,9,8,7,6,5,4,12,3,2,1] => [1,1,1,1,1,1,1,2,1,1,1]
[11,9,8,7,6,5,3,10,4,2,12,1] => [1,1,1,1,1,1,2,1,2,1]
[12,9,8,7,6,5,3,10,2,11,4,1] => [1,1,1,1,1,1,2,2,1,1]
[12,10,9,8,7,6,4,11,5,3,2,1] => [1,1,1,1,1,1,2,1,1,1,1]
[11,10,8,7,6,3,9,5,4,2,12,1] => [1,1,1,1,1,2,1,1,2,1]
[12,10,8,7,6,3,9,5,2,11,4,1] => [1,1,1,1,1,2,1,2,1,1]
[12,11,8,7,6,3,9,2,10,5,4,1] => [1,1,1,1,1,2,2,1,1,1]
[12,11,9,8,7,4,10,6,5,3,2,1] => [1,1,1,1,1,2,1,1,1,1,1]
[11,10,9,7,3,8,6,5,4,2,12,1] => [1,1,1,1,2,1,1,1,2,1]
[12,10,9,7,3,8,6,5,2,11,4,1] => [1,1,1,1,2,1,1,2,1,1]
[12,11,9,7,3,8,6,2,10,5,4,1] => [1,1,1,1,2,1,2,1,1,1]
[12,11,10,7,3,8,2,9,6,5,4,1] => [1,1,1,1,2,2,1,1,1,1]
[12,11,10,8,4,9,7,6,5,3,2,1] => [1,1,1,1,2,1,1,1,1,1,1]
[11,10,9,8,7,6,5,4,3,2,12,1] => [1,1,1,1,1,1,1,1,1,2,1]
[12,10,9,8,7,6,5,4,2,11,3,1] => [1,1,1,1,1,1,1,1,2,1,1]
[12,11,9,8,7,6,5,2,10,4,3,1] => [1,1,1,1,1,1,1,2,1,1,1]
[12,11,10,8,7,6,2,9,5,4,3,1] => [1,1,1,1,1,1,2,1,1,1,1]
[12,11,10,9,7,2,8,6,5,4,3,1] => [1,1,1,1,1,2,1,1,1,1,1]
[2,3,5,6,8,9,1,11,4,7,12,10] => [6,2,3,1]
[2,3,5,6,8,1,9,11,4,12,7,10] => [5,3,2,2]
[2,3,5,6,8,1,9,4,7,10,12,11] => [5,2,4,1]
[2,3,5,6,1,8,9,10,4,12,7,11] => [4,4,2,2]
[2,3,5,6,1,8,9,4,10,11,7,12] => [4,3,3,2]
[2,3,5,6,9,1,11,4,7,12,8,10] => [5,2,3,2]
[2,3,5,6,1,9,11,4,12,7,8,10] => [4,3,2,3]
[2,3,5,6,1,9,4,7,8,10,12,11] => [4,2,5,1]
[2,3,5,6,1,10,4,7,8,12,9,11] => [4,2,4,2]
[2,3,5,1,6,7,9,10,4,12,8,11] => [3,5,2,2]
[2,3,5,1,6,7,9,4,10,11,8,12] => [3,4,3,2]
[2,3,5,1,6,7,10,4,12,8,9,11] => [3,4,2,3]
[2,3,5,1,6,7,4,8,10,11,9,12] => [3,3,4,2]
[2,3,5,1,6,7,4,8,11,9,10,12] => [3,3,3,3]
[2,3,6,8,9,1,10,4,5,12,7,11] => [5,2,3,2]
[2,3,6,8,1,9,10,4,12,5,7,11] => [4,3,2,3]
[2,3,6,8,1,9,4,5,10,11,7,12] => [4,2,4,2]
[2,3,6,1,8,9,10,4,11,5,7,12] => [3,4,2,3]
[2,3,6,1,8,9,4,10,11,5,12,7] => [3,3,3,2,1]
[2,3,6,9,1,11,4,5,12,7,8,10] => [4,2,3,3]
[2,3,6,1,9,11,4,12,5,7,8,10] => [3,3,2,4]
[2,3,7,9,1,10,4,5,12,6,8,11] => [4,2,3,3]
[2,3,7,1,9,10,4,12,5,6,8,11] => [3,3,2,4]
[2,3,6,1,9,4,5,7,8,10,12,11] => [3,2,6,1]
[2,3,6,1,10,4,5,7,8,12,9,11] => [3,2,5,2]
[2,3,7,1,9,4,5,6,10,11,8,12] => [3,2,5,2]
[2,3,7,1,10,4,5,6,12,8,9,11] => [3,2,4,3]
[2,3,8,1,10,4,5,6,11,7,9,12] => [3,2,4,3]
[2,3,1,4,6,7,9,10,5,12,8,11] => [2,6,2,2]
[2,3,1,4,6,7,9,5,10,11,8,12] => [2,5,3,2]
[2,3,1,4,6,7,10,5,12,8,9,11] => [2,5,2,3]
[2,3,1,4,6,7,5,8,10,11,9,12] => [2,4,4,2]
[2,3,1,4,6,7,5,8,11,9,10,12] => [2,4,3,3]
[2,3,1,4,7,9,10,5,11,6,8,12] => [2,5,2,3]
[2,3,1,4,7,9,5,10,11,6,12,8] => [2,4,3,2,1]
[2,3,1,4,7,10,5,12,6,8,9,11] => [2,4,2,4]
[2,3,1,4,8,10,5,11,6,7,9,12] => [2,4,2,4]
[2,3,1,4,7,5,6,8,10,11,9,12] => [2,3,5,2]
[2,3,1,4,7,5,6,8,11,9,10,12] => [2,3,4,3]
[2,3,1,4,8,5,6,10,11,7,12,9] => [2,3,4,2,1]
[2,3,1,4,8,5,6,11,7,9,10,12] => [2,3,3,4]
[2,3,1,4,9,5,6,11,7,8,12,10] => [2,3,3,3,1]
[3,5,6,7,9,1,10,2,4,12,8,11] => [5,2,3,2]
[3,5,6,7,1,9,10,2,12,4,8,11] => [4,3,2,3]
[3,5,6,7,1,9,2,4,10,11,8,12] => [4,2,4,2]
[3,5,6,1,7,9,10,2,11,4,8,12] => [3,4,2,3]
[3,5,6,1,7,9,2,10,11,4,12,8] => [3,3,3,2,1]
[3,5,6,7,1,10,2,4,12,8,9,11] => [4,2,3,3]
[3,5,6,1,7,10,2,12,4,8,9,11] => [3,3,2,4]
[3,5,6,1,7,2,4,8,10,11,9,12] => [3,2,5,2]
[3,5,6,1,7,2,4,8,11,9,10,12] => [3,2,4,3]
[3,5,1,6,7,8,10,2,11,4,9,12] => [2,5,2,3]
[3,5,1,6,7,8,2,10,11,4,12,9] => [2,4,3,2,1]
[3,5,1,6,7,8,2,11,4,9,10,12] => [2,4,2,4]
[3,5,1,6,7,2,8,9,11,4,12,10] => [2,3,4,2,1]
[3,5,1,6,7,2,8,9,4,10,12,11] => [2,3,3,3,1]
[3,6,8,9,1,10,2,4,11,5,7,12] => [4,2,3,3]
[3,6,8,1,9,10,2,11,4,5,7,12] => [3,3,2,4]
[3,6,8,1,9,2,4,10,11,5,12,7] => [3,2,4,2,1]
[3,6,1,8,9,10,2,11,4,5,12,7] => [2,4,2,3,1]
[3,6,1,8,9,2,10,11,4,12,5,7] => [2,3,3,2,2]
[4,6,7,9,1,10,2,3,11,5,8,12] => [4,2,3,3]
[4,6,7,1,9,10,2,11,3,5,8,12] => [3,3,2,4]
[4,6,7,1,9,2,3,10,11,5,12,8] => [3,2,4,2,1]
[4,6,1,7,9,10,2,11,3,5,12,8] => [2,4,2,3,1]
[4,6,1,7,9,2,10,11,3,12,5,8] => [2,3,3,2,2]
[3,6,9,1,11,2,4,12,5,7,8,10] => [3,2,3,4]
[3,6,1,9,11,2,12,4,5,7,8,10] => [2,3,2,5]
[3,7,9,1,10,2,4,12,5,6,8,11] => [3,2,3,4]
[3,7,1,9,10,2,12,4,5,6,8,11] => [2,3,2,5]
[4,6,7,1,10,2,3,12,5,8,9,11] => [3,2,3,4]
[4,6,1,7,10,2,12,3,5,8,9,11] => [2,3,2,5]
[4,7,9,1,10,2,3,11,5,6,8,12] => [3,2,3,4]
[4,7,1,9,10,2,11,3,5,6,8,12] => [2,3,2,5]
[5,7,8,1,10,2,3,11,4,6,9,12] => [3,2,3,4]
[5,7,1,8,10,2,11,3,4,6,9,12] => [2,3,2,5]
[3,6,1,9,2,4,5,7,8,10,12,11] => [2,2,7,1]
[3,6,1,10,2,4,5,7,8,12,9,11] => [2,2,6,2]
[3,7,1,9,2,4,5,6,10,11,8,12] => [2,2,6,2]
[3,7,1,10,2,4,5,6,12,8,9,11] => [2,2,5,3]
[3,8,1,10,2,4,5,6,11,7,9,12] => [2,2,5,3]
[4,6,1,7,2,3,5,8,10,11,9,12] => [2,2,6,2]
[4,6,1,7,2,3,5,8,11,9,10,12] => [2,2,5,3]
[4,7,1,9,2,3,5,10,11,6,12,8] => [2,2,5,2,1]
[5,7,1,8,2,3,4,10,11,6,12,9] => [2,2,5,2,1]
[4,7,1,10,2,3,5,12,6,8,9,11] => [2,2,4,4]
[4,8,1,10,2,3,5,11,6,7,9,12] => [2,2,4,4]
[5,7,1,8,2,3,4,11,6,9,10,12] => [2,2,4,4]
[5,8,1,10,2,3,4,11,6,7,12,9] => [2,2,4,3,1]
[6,8,1,9,2,3,4,11,5,7,12,10] => [2,2,4,3,1]
[3,1,2,4,6,7,9,10,5,12,8,11] => [1,7,2,2]
[3,1,2,4,6,7,9,5,10,11,8,12] => [1,6,3,2]
[3,1,2,4,6,7,10,5,12,8,9,11] => [1,6,2,3]
[3,1,2,4,6,7,5,8,10,11,9,12] => [1,5,4,2]
[3,1,2,4,6,7,5,8,11,9,10,12] => [1,5,3,3]
[3,1,2,4,7,9,10,5,11,6,8,12] => [1,6,2,3]
[3,1,2,4,7,9,5,10,11,6,12,8] => [1,5,3,2,1]
[3,1,2,4,7,10,5,12,6,8,9,11] => [1,5,2,4]
[3,1,2,4,8,10,5,11,6,7,9,12] => [1,5,2,4]
[3,1,2,4,7,5,6,8,10,11,9,12] => [1,4,5,2]
[3,1,2,4,7,5,6,8,11,9,10,12] => [1,4,4,3]
[3,1,2,4,8,5,6,10,11,7,12,9] => [1,4,4,2,1]
[3,1,2,4,8,5,6,11,7,9,10,12] => [1,4,3,4]
[3,1,2,4,9,5,6,11,7,8,12,10] => [1,4,3,3,1]
[4,1,2,6,7,8,10,3,11,5,9,12] => [1,6,2,3]
[4,1,2,6,7,8,3,10,11,5,12,9] => [1,5,3,2,1]
[4,1,2,6,7,8,3,11,5,9,10,12] => [1,5,2,4]
[4,1,2,6,7,3,8,9,11,5,12,10] => [1,4,4,2,1]
[4,1,2,6,7,3,8,9,5,10,12,11] => [1,4,3,3,1]
[4,1,2,7,9,10,3,11,5,6,12,8] => [1,5,2,3,1]
[4,1,2,7,9,3,10,11,5,12,6,8] => [1,4,3,2,2]
[5,1,2,7,8,10,3,11,4,6,12,9] => [1,5,2,3,1]
[5,1,2,7,8,3,10,11,4,12,6,9] => [1,4,3,2,2]
[4,1,2,7,10,3,12,5,6,8,9,11] => [1,4,2,5]
[4,1,2,8,10,3,11,5,6,7,9,12] => [1,4,2,5]
[5,1,2,7,8,3,11,4,6,9,10,12] => [1,4,2,5]
[5,1,2,8,10,3,11,4,6,7,12,9] => [1,4,2,4,1]
[6,1,2,8,9,3,11,4,5,7,12,10] => [1,4,2,4,1]
[4,1,2,7,3,5,6,8,10,11,9,12] => [1,3,6,2]
[4,1,2,7,3,5,6,8,11,9,10,12] => [1,3,5,3]
[4,1,2,8,3,5,6,10,11,7,12,9] => [1,3,5,2,1]
[4,1,2,8,3,5,6,11,7,9,10,12] => [1,3,4,4]
[4,1,2,9,3,5,6,11,7,8,12,10] => [1,3,4,3,1]
[5,1,2,7,3,4,8,9,11,6,12,10] => [1,3,5,2,1]
[5,1,2,7,3,4,8,9,6,10,12,11] => [1,3,4,3,1]
[5,1,2,8,3,4,10,11,6,12,7,9] => [1,3,4,2,2]
[6,1,2,8,3,4,9,11,5,12,7,10] => [1,3,4,2,2]
[5,1,2,8,3,4,11,6,7,9,10,12] => [1,3,3,5]
[5,1,2,9,3,4,11,6,7,8,12,10] => [1,3,3,4,1]
[6,1,2,8,3,4,9,5,7,10,12,11] => [1,3,3,4,1]
[6,1,2,9,3,4,11,5,7,12,8,10] => [1,3,3,3,2]
[7,1,2,9,3,4,10,5,6,12,8,11] => [1,3,3,3,2]
[3,4,1,5,6,7,8,9,10,11,12,2] => [2,9,1]
[8,2,9,3,10,4,11,5,12,6,1,7] => [1,2,2,2,2,1,2]
[8,2,9,3,10,4,11,5,12,1,6,7] => [1,2,2,2,2,3]
[8,2,9,3,10,4,11,12,5,6,1,7] => [1,2,2,3,2,2]
[8,2,9,3,10,4,11,12,5,1,6,7] => [1,2,2,3,1,3]
[8,2,9,3,10,4,11,12,1,5,6,7] => [1,2,2,3,4]
[8,2,9,3,10,11,4,5,12,6,1,7] => [1,2,3,3,1,2]
[8,2,9,3,10,11,4,5,12,1,6,7] => [1,2,3,3,3]
[8,2,9,3,10,11,4,12,5,6,1,7] => [1,2,3,2,2,2]
[8,2,9,3,10,11,4,12,5,1,6,7] => [1,2,3,2,1,3]
[8,2,9,3,10,11,4,12,1,5,6,7] => [1,2,3,2,4]
[8,2,9,3,10,11,12,4,5,6,1,7] => [1,2,4,3,2]
[8,2,9,3,10,11,12,4,5,1,6,7] => [1,2,4,2,3]
[8,2,9,3,10,11,12,4,1,5,6,7] => [1,2,4,1,4]
[8,2,9,3,10,11,12,1,4,5,6,7] => [1,2,4,5]
[8,2,9,10,3,4,11,5,12,6,1,7] => [1,3,3,2,1,2]
[8,2,9,10,3,4,11,5,12,1,6,7] => [1,3,3,2,3]
[8,2,9,10,3,4,11,12,5,6,1,7] => [1,3,4,2,2]
[8,2,9,10,3,4,11,12,5,1,6,7] => [1,3,4,1,3]
[8,2,9,10,3,4,11,12,1,5,6,7] => [1,3,4,4]
[8,2,9,10,3,11,4,5,12,6,1,7] => [1,3,2,3,1,2]
[8,2,9,10,3,11,4,5,12,1,6,7] => [1,3,2,3,3]
[8,2,9,10,3,11,4,12,5,6,1,7] => [1,3,2,2,2,2]
[8,2,9,10,3,11,4,12,5,1,6,7] => [1,3,2,2,1,3]
[8,2,9,10,3,11,4,12,1,5,6,7] => [1,3,2,2,4]
[8,2,9,10,3,11,12,4,5,6,1,7] => [1,3,3,3,2]
[8,2,9,10,3,11,12,4,5,1,6,7] => [1,3,3,2,3]
[8,2,9,10,3,11,12,4,1,5,6,7] => [1,3,3,1,4]
[8,2,9,10,3,11,12,1,4,5,6,7] => [1,3,3,5]
[8,2,9,10,11,3,4,5,12,6,1,7] => [1,4,4,1,2]
[8,2,9,10,11,3,4,5,12,1,6,7] => [1,4,4,3]
[8,2,9,10,11,3,4,12,5,6,1,7] => [1,4,3,2,2]
[8,2,9,10,11,3,4,12,5,1,6,7] => [1,4,3,1,3]
[8,2,9,10,11,3,4,12,1,5,6,7] => [1,4,3,4]
[8,2,9,10,11,3,12,4,5,6,1,7] => [1,4,2,3,2]
[8,2,9,10,11,3,12,4,5,1,6,7] => [1,4,2,2,3]
[8,2,9,10,11,3,12,4,1,5,6,7] => [1,4,2,1,4]
[8,2,9,10,11,3,12,1,4,5,6,7] => [1,4,2,5]
[8,2,9,10,11,12,3,4,5,6,1,7] => [1,5,4,2]
[8,2,9,10,11,12,3,4,5,1,6,7] => [1,5,3,3]
[8,2,9,10,11,12,3,4,1,5,6,7] => [1,5,2,4]
[8,2,9,10,11,12,3,1,4,5,6,7] => [1,5,1,5]
[8,2,9,10,11,12,1,3,4,5,6,7] => [1,5,6]
[8,9,2,3,10,4,11,5,12,6,1,7] => [2,3,2,2,1,2]
[8,9,2,3,10,4,11,5,12,1,6,7] => [2,3,2,2,3]
[8,9,2,3,10,4,11,12,5,6,1,7] => [2,3,3,2,2]
[8,9,2,3,10,4,11,12,5,1,6,7] => [2,3,3,1,3]
[8,9,2,3,10,4,11,12,1,5,6,7] => [2,3,3,4]
[8,9,2,3,10,11,4,5,12,6,1,7] => [2,4,3,1,2]
[8,9,2,3,10,11,4,5,12,1,6,7] => [2,4,3,3]
[8,9,2,3,10,11,4,12,5,6,1,7] => [2,4,2,2,2]
[8,9,2,3,10,11,4,12,5,1,6,7] => [2,4,2,1,3]
[8,9,2,3,10,11,4,12,1,5,6,7] => [2,4,2,4]
[8,9,2,3,10,11,12,4,5,6,1,7] => [2,5,3,2]
[8,9,2,3,10,11,12,4,5,1,6,7] => [2,5,2,3]
[8,9,2,3,10,11,12,4,1,5,6,7] => [2,5,1,4]
[8,9,2,3,10,11,12,1,4,5,6,7] => [2,5,5]
[8,9,2,10,3,4,11,5,12,6,1,7] => [2,2,3,2,1,2]
[8,9,2,10,3,4,11,5,12,1,6,7] => [2,2,3,2,3]
[8,9,2,10,3,4,11,12,5,6,1,7] => [2,2,4,2,2]
[8,9,2,10,3,4,11,12,5,1,6,7] => [2,2,4,1,3]
[8,9,2,10,3,4,11,12,1,5,6,7] => [2,2,4,4]
[8,9,2,10,3,11,4,5,12,6,1,7] => [2,2,2,3,1,2]
[8,9,2,10,3,11,4,5,12,1,6,7] => [2,2,2,3,3]
[8,9,2,10,3,11,4,12,5,6,1,7] => [2,2,2,2,2,2]
[8,9,2,10,3,11,4,12,5,1,6,7] => [2,2,2,2,1,3]
[8,9,2,10,3,11,4,12,1,5,6,7] => [2,2,2,2,4]
[8,9,2,10,3,11,12,4,5,6,1,7] => [2,2,3,3,2]
[8,9,2,10,3,11,12,4,5,1,6,7] => [2,2,3,2,3]
[8,9,2,10,3,11,12,4,1,5,6,7] => [2,2,3,1,4]
[8,9,2,10,3,11,12,1,4,5,6,7] => [2,2,3,5]
[8,9,2,10,11,3,4,5,12,6,1,7] => [2,3,4,1,2]
[8,9,2,10,11,3,4,5,12,1,6,7] => [2,3,4,3]
[8,9,2,10,11,3,4,12,5,6,1,7] => [2,3,3,2,2]
[8,9,2,10,11,3,4,12,5,1,6,7] => [2,3,3,1,3]
[8,9,2,10,11,3,4,12,1,5,6,7] => [2,3,3,4]
[8,9,2,10,11,3,12,4,5,6,1,7] => [2,3,2,3,2]
[8,9,2,10,11,3,12,4,5,1,6,7] => [2,3,2,2,3]
[8,9,2,10,11,3,12,4,1,5,6,7] => [2,3,2,1,4]
[8,9,2,10,11,3,12,1,4,5,6,7] => [2,3,2,5]
[8,9,2,10,11,12,3,4,5,6,1,7] => [2,4,4,2]
[8,9,2,10,11,12,3,4,5,1,6,7] => [2,4,3,3]
[8,9,2,10,11,12,3,4,1,5,6,7] => [2,4,2,4]
[8,9,2,10,11,12,3,1,4,5,6,7] => [2,4,1,5]
[8,9,2,10,11,12,1,3,4,5,6,7] => [2,4,6]
[8,9,10,2,3,4,11,5,12,6,1,7] => [3,4,2,1,2]
[8,9,10,2,3,4,11,5,12,1,6,7] => [3,4,2,3]
[8,9,10,2,3,4,11,12,5,6,1,7] => [3,5,2,2]
[8,9,10,2,3,4,11,12,5,1,6,7] => [3,5,1,3]
[8,9,10,2,3,4,11,12,1,5,6,7] => [3,5,4]
[8,9,10,2,3,11,4,5,12,6,1,7] => [3,3,3,1,2]
[8,9,10,2,3,11,4,5,12,1,6,7] => [3,3,3,3]
[8,9,10,2,3,11,4,12,5,6,1,7] => [3,3,2,2,2]
[8,9,10,2,3,11,4,12,5,1,6,7] => [3,3,2,1,3]
[8,9,10,2,3,11,4,12,1,5,6,7] => [3,3,2,4]
[8,9,10,2,3,11,12,4,5,6,1,7] => [3,4,3,2]
[8,9,10,2,3,11,12,4,5,1,6,7] => [3,4,2,3]
[8,9,10,2,3,11,12,4,1,5,6,7] => [3,4,1,4]
[8,9,10,2,3,11,12,1,4,5,6,7] => [3,4,5]
[8,9,10,2,11,3,4,5,12,6,1,7] => [3,2,4,1,2]
[8,9,10,2,11,3,4,5,12,1,6,7] => [3,2,4,3]
[8,9,10,2,11,3,4,12,5,6,1,7] => [3,2,3,2,2]
[8,9,10,2,11,3,4,12,5,1,6,7] => [3,2,3,1,3]
[8,9,10,2,11,3,4,12,1,5,6,7] => [3,2,3,4]
[8,9,10,2,11,3,12,4,5,6,1,7] => [3,2,2,3,2]
[8,9,10,2,11,3,12,4,5,1,6,7] => [3,2,2,2,3]
[8,9,10,2,11,3,12,4,1,5,6,7] => [3,2,2,1,4]
[8,9,10,2,11,3,12,1,4,5,6,7] => [3,2,2,5]
[8,9,10,2,11,12,3,4,5,6,1,7] => [3,3,4,2]
[8,9,10,2,11,12,3,4,5,1,6,7] => [3,3,3,3]
[8,9,10,2,11,12,3,4,1,5,6,7] => [3,3,2,4]
[8,9,10,2,11,12,3,1,4,5,6,7] => [3,3,1,5]
[8,9,10,2,11,12,1,3,4,5,6,7] => [3,3,6]
[8,9,10,11,2,3,4,5,12,6,1,7] => [4,5,1,2]
[8,9,10,11,2,3,4,5,12,1,6,7] => [4,5,3]
[8,9,10,11,2,3,4,12,5,6,1,7] => [4,4,2,2]
[8,9,10,11,2,3,4,12,5,1,6,7] => [4,4,1,3]
[8,9,10,11,2,3,4,12,1,5,6,7] => [4,4,4]
[8,9,10,11,2,3,12,4,5,6,1,7] => [4,3,3,2]
[8,9,10,11,2,3,12,4,5,1,6,7] => [4,3,2,3]
[8,9,10,11,2,3,12,4,1,5,6,7] => [4,3,1,4]
[8,9,10,11,2,3,12,1,4,5,6,7] => [4,3,5]
[8,9,10,11,2,12,3,4,5,6,1,7] => [4,2,4,2]
[8,9,10,11,2,12,3,4,5,1,6,7] => [4,2,3,3]
[8,9,10,11,2,12,3,4,1,5,6,7] => [4,2,2,4]
[8,9,10,11,2,12,3,1,4,5,6,7] => [4,2,1,5]
[8,9,10,11,2,12,1,3,4,5,6,7] => [4,2,6]
[8,9,10,11,12,2,3,4,5,6,1,7] => [5,5,2]
[8,9,10,11,12,2,3,4,5,1,6,7] => [5,4,3]
[8,9,10,11,12,2,3,4,1,5,6,7] => [5,3,4]
[8,9,10,11,12,2,3,1,4,5,6,7] => [5,2,5]
[8,9,10,11,12,2,1,3,4,5,6,7] => [5,1,6]
[1,2,3,4,5,6,7,10,8,9,11,12] => [8,4]
[1,2,3,4,5,6,7,12,8,9,10,11] => [8,4]
[1,2,3,4,5,6,7,12,8,11,9,10] => [8,2,2]
[1,2,3,4,5,8,6,7,9,10,11,12] => [6,6]
[1,2,3,4,5,8,6,7,9,12,10,11] => [6,4,2]
[1,2,3,4,5,10,6,7,8,9,11,12] => [6,6]
[1,2,3,4,5,12,6,7,8,9,10,11] => [6,6]
[1,2,3,4,5,12,6,7,8,11,9,10] => [6,4,2]
[1,2,3,4,5,10,6,9,7,8,11,12] => [6,2,4]
[1,2,3,4,5,12,6,9,7,8,10,11] => [6,2,4]
[1,2,3,4,5,12,6,11,7,8,9,10] => [6,2,4]
[1,2,3,4,5,12,6,11,7,10,8,9] => [6,2,2,2]
[1,2,3,6,4,5,7,8,9,10,11,12] => [4,8]
[1,2,3,6,4,5,7,8,9,12,10,11] => [4,6,2]
[1,2,3,6,4,5,7,10,8,9,11,12] => [4,4,4]
[1,2,3,6,4,5,7,12,8,9,10,11] => [4,4,4]
[1,2,3,6,4,5,7,12,8,11,9,10] => [4,4,2,2]
[1,2,3,8,4,5,6,7,9,10,11,12] => [4,8]
[1,2,3,8,4,5,6,7,9,12,10,11] => [4,6,2]
[1,2,3,10,4,5,6,7,8,9,11,12] => [4,8]
[1,2,3,12,4,5,6,7,8,9,10,11] => [4,8]
[1,2,3,12,4,5,6,7,8,11,9,10] => [4,6,2]
[1,2,3,10,4,5,6,9,7,8,11,12] => [4,4,4]
[1,2,3,12,4,5,6,9,7,8,10,11] => [4,4,4]
[1,2,3,12,4,5,6,11,7,8,9,10] => [4,4,4]
[1,2,3,12,4,5,6,11,7,10,8,9] => [4,4,2,2]
[1,2,3,8,4,7,5,6,9,10,11,12] => [4,2,6]
[1,2,3,8,4,7,5,6,9,12,10,11] => [4,2,4,2]
[1,2,3,10,4,7,5,6,8,9,11,12] => [4,2,6]
[1,2,3,12,4,7,5,6,8,9,10,11] => [4,2,6]
[1,2,3,12,4,7,5,6,8,11,9,10] => [4,2,4,2]
[1,2,3,10,4,9,5,6,7,8,11,12] => [4,2,6]
[1,2,3,12,4,9,5,6,7,8,10,11] => [4,2,6]
[1,2,3,12,4,11,5,6,7,8,9,10] => [4,2,6]
[1,2,3,12,4,11,5,6,7,10,8,9] => [4,2,4,2]
[1,2,3,10,4,9,5,8,6,7,11,12] => [4,2,2,4]
[1,2,3,12,4,9,5,8,6,7,10,11] => [4,2,2,4]
[1,2,3,12,4,11,5,8,6,7,9,10] => [4,2,2,4]
[1,2,3,12,4,11,5,10,6,7,8,9] => [4,2,2,4]
[1,2,3,12,4,11,5,10,6,9,7,8] => [4,2,2,2,2]
[1,4,2,3,5,6,7,8,9,10,11,12] => [2,10]
[1,4,2,3,5,6,7,8,9,12,10,11] => [2,8,2]
[1,4,2,3,5,6,7,10,8,9,11,12] => [2,6,4]
[1,4,2,3,5,6,7,12,8,9,10,11] => [2,6,4]
[1,4,2,3,5,6,7,12,8,11,9,10] => [2,6,2,2]
[1,4,2,3,5,8,6,7,9,10,11,12] => [2,4,6]
[1,4,2,3,5,8,6,7,9,12,10,11] => [2,4,4,2]
[1,4,2,3,5,10,6,7,8,9,11,12] => [2,4,6]
[1,4,2,3,5,12,6,7,8,9,10,11] => [2,4,6]
[1,4,2,3,5,12,6,7,8,11,9,10] => [2,4,4,2]
[1,4,2,3,5,10,6,9,7,8,11,12] => [2,4,2,4]
[1,4,2,3,5,12,6,9,7,8,10,11] => [2,4,2,4]
[1,4,2,3,5,12,6,11,7,8,9,10] => [2,4,2,4]
[1,4,2,3,5,12,6,11,7,10,8,9] => [2,4,2,2,2]
[1,6,2,3,4,5,7,8,9,10,11,12] => [2,10]
[1,6,2,3,4,5,7,8,9,12,10,11] => [2,8,2]
[1,6,2,3,4,5,7,10,8,9,11,12] => [2,6,4]
[1,6,2,3,4,5,7,12,8,9,10,11] => [2,6,4]
[1,6,2,3,4,5,7,12,8,11,9,10] => [2,6,2,2]
[1,8,2,3,4,5,6,7,9,10,11,12] => [2,10]
[1,8,2,3,4,5,6,7,9,12,10,11] => [2,8,2]
[1,10,2,3,4,5,6,7,8,9,11,12] => [2,10]
[1,12,2,3,4,5,6,7,8,9,10,11] => [2,10]
[1,12,2,3,4,5,6,7,8,11,9,10] => [2,8,2]
[1,10,2,3,4,5,6,9,7,8,11,12] => [2,6,4]
[1,12,2,3,4,5,6,9,7,8,10,11] => [2,6,4]
[1,12,2,3,4,5,6,11,7,8,9,10] => [2,6,4]
[1,12,2,3,4,5,6,11,7,10,8,9] => [2,6,2,2]
[1,8,2,3,4,7,5,6,9,10,11,12] => [2,4,6]
[1,8,2,3,4,7,5,6,9,12,10,11] => [2,4,4,2]
[1,10,2,3,4,7,5,6,8,9,11,12] => [2,4,6]
[1,12,2,3,4,7,5,6,8,9,10,11] => [2,4,6]
[1,12,2,3,4,7,5,6,8,11,9,10] => [2,4,4,2]
[1,10,2,3,4,9,5,6,7,8,11,12] => [2,4,6]
[1,12,2,3,4,9,5,6,7,8,10,11] => [2,4,6]
[1,12,2,3,4,11,5,6,7,8,9,10] => [2,4,6]
[1,12,2,3,4,11,5,6,7,10,8,9] => [2,4,4,2]
[1,10,2,3,4,9,5,8,6,7,11,12] => [2,4,2,4]
[1,12,2,3,4,9,5,8,6,7,10,11] => [2,4,2,4]
[1,12,2,3,4,11,5,8,6,7,9,10] => [2,4,2,4]
[1,12,2,3,4,11,5,10,6,7,8,9] => [2,4,2,4]
[1,12,2,3,4,11,5,10,6,9,7,8] => [2,4,2,2,2]
[1,6,2,5,3,4,7,8,9,10,11,12] => [2,2,8]
[1,6,2,5,3,4,7,8,9,12,10,11] => [2,2,6,2]
[1,6,2,5,3,4,7,10,8,9,11,12] => [2,2,4,4]
[1,6,2,5,3,4,7,12,8,9,10,11] => [2,2,4,4]
[1,6,2,5,3,4,7,12,8,11,9,10] => [2,2,4,2,2]
[1,8,2,5,3,4,6,7,9,10,11,12] => [2,2,8]
[1,8,2,5,3,4,6,7,9,12,10,11] => [2,2,6,2]
[1,10,2,5,3,4,6,7,8,9,11,12] => [2,2,8]
[1,12,2,5,3,4,6,7,8,9,10,11] => [2,2,8]
[1,12,2,5,3,4,6,7,8,11,9,10] => [2,2,6,2]
[1,10,2,5,3,4,6,9,7,8,11,12] => [2,2,4,4]
[1,12,2,5,3,4,6,9,7,8,10,11] => [2,2,4,4]
[1,12,2,5,3,4,6,11,7,8,9,10] => [2,2,4,4]
[1,12,2,5,3,4,6,11,7,10,8,9] => [2,2,4,2,2]
[1,8,2,7,3,4,5,6,9,10,11,12] => [2,2,8]
[1,8,2,7,3,4,5,6,9,12,10,11] => [2,2,6,2]
[1,10,2,7,3,4,5,6,8,9,11,12] => [2,2,8]
[1,12,2,7,3,4,5,6,8,9,10,11] => [2,2,8]
[1,12,2,7,3,4,5,6,8,11,9,10] => [2,2,6,2]
[1,10,2,9,3,4,5,6,7,8,11,12] => [2,2,8]
[1,12,2,9,3,4,5,6,7,8,10,11] => [2,2,8]
[1,12,2,11,3,4,5,6,7,8,9,10] => [2,2,8]
[1,12,2,11,3,4,5,6,7,10,8,9] => [2,2,6,2]
[1,10,2,9,3,4,5,8,6,7,11,12] => [2,2,4,4]
[1,12,2,9,3,4,5,8,6,7,10,11] => [2,2,4,4]
[1,12,2,11,3,4,5,8,6,7,9,10] => [2,2,4,4]
[1,12,2,11,3,4,5,10,6,7,8,9] => [2,2,4,4]
[1,12,2,11,3,4,5,10,6,9,7,8] => [2,2,4,2,2]
[1,8,2,7,3,6,4,5,9,10,11,12] => [2,2,2,6]
[1,8,2,7,3,6,4,5,9,12,10,11] => [2,2,2,4,2]
[1,10,2,7,3,6,4,5,8,9,11,12] => [2,2,2,6]
[1,12,2,7,3,6,4,5,8,9,10,11] => [2,2,2,6]
[1,12,2,7,3,6,4,5,8,11,9,10] => [2,2,2,4,2]
[1,10,2,9,3,6,4,5,7,8,11,12] => [2,2,2,6]
[1,12,2,9,3,6,4,5,7,8,10,11] => [2,2,2,6]
[1,12,2,11,3,6,4,5,7,8,9,10] => [2,2,2,6]
[1,12,2,11,3,6,4,5,7,10,8,9] => [2,2,2,4,2]
[1,10,2,9,3,8,4,5,6,7,11,12] => [2,2,2,6]
[1,12,2,9,3,8,4,5,6,7,10,11] => [2,2,2,6]
[1,12,2,11,3,8,4,5,6,7,9,10] => [2,2,2,6]
[1,12,2,11,3,10,4,5,6,7,8,9] => [2,2,2,6]
[1,12,2,11,3,10,4,5,6,9,7,8] => [2,2,2,4,2]
[1,10,2,9,3,8,4,7,5,6,11,12] => [2,2,2,2,4]
[1,12,2,9,3,8,4,7,5,6,10,11] => [2,2,2,2,4]
[1,12,2,11,3,8,4,7,5,6,9,10] => [2,2,2,2,4]
[1,12,2,11,3,10,4,7,5,6,8,9] => [2,2,2,2,4]
[1,12,2,11,3,10,4,9,5,6,7,8] => [2,2,2,2,4]
[12,3,1,4,5,6,7,8,9,10,11,2] => [1,1,9,1]
[2,1,4,3,10,7,11,9,6,12,5,8] => [1,2,2,2,1,2,2]
[2,1,8,5,9,7,4,10,3,6,12,11] => [1,2,2,1,2,3,1]
[2,1,10,5,11,7,4,9,6,12,3,8] => [1,2,2,1,2,2,2]
[2,1,8,5,9,7,4,10,11,12,3,6] => [1,2,2,1,4,2]
[2,1,10,5,11,7,8,9,4,12,3,6] => [1,2,2,3,2,2]
[2,1,6,5,9,10,8,12,11,7,3,4] => [1,2,3,2,1,1,2]
[2,1,10,5,6,7,11,9,4,12,3,8] => [1,2,4,1,2,2]
[2,1,10,7,6,8,9,4,11,12,3,5] => [1,2,1,3,3,2]
[2,1,4,9,6,10,8,5,11,3,12,7] => [1,3,2,1,2,2,1]
[2,3,4,1,10,7,11,9,6,12,5,8] => [3,2,2,1,2,2]
[6,3,7,5,2,8,1,4,10,9,12,11] => [1,2,1,2,3,2,1]
[6,3,7,5,2,8,1,4,10,11,12,9] => [1,2,1,2,5,1]
[8,3,9,5,2,7,4,10,1,6,12,11] => [1,2,1,2,2,3,1]
[10,3,11,5,2,7,4,9,6,12,1,8] => [1,2,1,2,2,2,2]
[8,3,9,5,2,7,4,10,11,12,1,6] => [1,2,1,2,4,2]
[6,3,7,5,2,8,9,10,1,4,12,11] => [1,2,1,4,3,1]
[10,3,11,5,2,7,8,9,4,12,1,6] => [1,2,1,4,2,2]
[6,3,9,5,2,10,8,12,11,7,1,4] => [1,2,1,2,2,1,1,2]
[6,3,7,5,2,8,9,10,11,12,1,4] => [1,2,1,6,2]
[8,3,9,5,6,7,2,10,1,4,12,11] => [1,2,3,2,3,1]
[10,3,11,5,6,7,2,9,4,12,1,8] => [1,2,3,2,2,2]
[8,3,9,5,6,7,2,10,11,12,1,4] => [1,2,3,4,2]
[4,3,7,8,6,10,9,5,1,2,12,11] => [1,3,2,1,1,3,1]
[10,3,11,7,6,8,9,4,2,12,1,5] => [1,2,1,3,1,2,2]
[4,3,9,10,6,12,8,5,11,7,1,2] => [1,3,2,1,2,1,2]
[10,3,11,5,6,7,8,9,2,12,1,4] => [1,2,5,2,2]
[4,3,9,10,6,7,8,12,11,5,1,2] => [1,3,4,1,1,2]
[4,3,5,8,9,7,12,10,6,11,2,1] => [1,4,2,1,2,1,1]
[8,3,4,5,9,7,2,10,1,6,12,11] => [1,4,1,2,3,1]
[10,3,4,5,11,7,2,9,6,12,1,8] => [1,4,1,2,2,2]
[8,3,4,5,9,7,2,10,11,12,1,6] => [1,4,1,4,2]
[10,3,4,5,11,7,8,9,2,12,1,6] => [1,4,3,2,2]
[6,3,4,5,9,10,8,12,11,7,1,2] => [1,5,2,1,1,2]
[8,5,4,6,7,2,9,10,1,3,12,11] => [1,1,3,3,3,1]
[10,5,4,6,7,2,11,9,3,12,1,8] => [1,1,3,2,1,2,2]
[8,5,4,6,7,2,9,10,11,12,1,3] => [1,1,3,5,2]
[2,7,4,8,6,3,9,1,10,5,12,11] => [2,2,1,2,2,2,1]
[10,7,4,8,6,3,9,2,11,12,1,5] => [1,1,2,1,2,3,2]
[2,9,4,10,6,3,8,5,11,1,12,7] => [2,2,1,2,2,2,1]
[2,7,4,8,6,3,9,10,11,1,12,5] => [2,2,1,4,2,1]
[10,5,4,6,7,8,9,2,11,12,1,3] => [1,1,5,3,2]
[2,9,4,10,6,7,8,3,11,1,12,5] => [2,2,3,2,2,1]
[2,5,4,8,9,7,11,10,6,1,12,3] => [2,3,2,1,1,2,1]
[10,3,4,5,6,7,11,9,2,12,1,8] => [1,6,1,2,2]
[10,7,4,5,6,8,9,2,11,12,1,3] => [1,1,5,3,2]
[2,9,4,5,6,10,8,3,11,1,12,7] => [2,4,1,2,2,1]
[10,3,6,5,7,8,2,9,11,12,1,4] => [1,2,3,4,2]
[2,9,6,5,7,8,3,10,11,1,12,4] => [2,1,3,3,2,1]
[2,3,8,5,9,7,4,10,1,11,12,6] => [3,2,1,2,3,1]
[1,3,2,5,4,7,6,9,8,12,10,11] => [2,2,2,2,2,2]
[1,3,2,5,4,7,6,8,10,12,9,11] => [2,2,2,4,2]
[1,3,2,5,4,7,6,8,12,9,10,11] => [2,2,2,3,3]
[1,3,2,5,4,6,8,9,7,12,10,11] => [2,2,4,2,2]
[1,3,2,5,4,6,8,7,10,12,9,11] => [2,2,3,3,2]
[1,3,2,5,4,6,8,7,12,9,10,11] => [2,2,3,2,3]
[1,3,2,5,4,6,7,9,10,12,8,11] => [2,2,6,2]
[1,3,2,5,4,6,7,9,12,8,10,11] => [2,2,5,3]
[1,3,2,5,4,6,7,12,8,9,10,11] => [2,2,4,4]
[1,3,2,4,6,7,5,9,8,12,10,11] => [2,4,2,2,2]
[1,3,2,4,6,7,5,8,10,12,9,11] => [2,4,4,2]
[1,3,2,4,6,7,5,8,12,9,10,11] => [2,4,3,3]
[1,3,2,4,6,5,8,9,7,12,10,11] => [2,3,3,2,2]
[1,3,2,4,6,5,8,7,10,12,9,11] => [2,3,2,3,2]
[1,3,2,4,6,5,8,7,12,9,10,11] => [2,3,2,2,3]
[1,3,2,4,6,5,7,9,10,12,8,11] => [2,3,5,2]
[1,3,2,4,6,5,7,9,12,8,10,11] => [2,3,4,3]
[1,3,2,4,6,5,7,12,8,9,10,11] => [2,3,3,4]
[1,3,2,4,5,7,8,9,6,12,10,11] => [2,6,2,2]
[1,3,2,4,5,7,8,6,10,12,9,11] => [2,5,3,2]
[1,3,2,4,5,7,8,6,12,9,10,11] => [2,5,2,3]
[1,3,2,4,5,7,6,9,10,12,8,11] => [2,4,4,2]
[1,3,2,4,5,7,6,9,12,8,10,11] => [2,4,3,3]
[1,3,2,4,5,7,6,12,8,9,10,11] => [2,4,2,4]
[1,3,2,4,5,6,8,9,10,12,7,11] => [2,8,2]
[1,3,2,4,5,6,8,9,12,7,10,11] => [2,7,3]
[1,3,2,4,5,6,8,12,7,9,10,11] => [2,6,4]
[1,3,2,4,5,6,12,7,8,9,10,11] => [2,5,5]
[1,2,4,5,3,7,6,9,8,12,10,11] => [4,2,2,2,2]
[1,2,4,5,3,7,6,8,10,12,9,11] => [4,2,4,2]
[1,2,4,5,3,7,6,8,12,9,10,11] => [4,2,3,3]
[1,2,4,5,3,6,8,9,7,12,10,11] => [4,4,2,2]
[1,2,4,5,3,6,8,7,10,12,9,11] => [4,3,3,2]
[1,2,4,5,3,6,8,7,12,9,10,11] => [4,3,2,3]
[1,2,4,5,3,6,7,9,10,12,8,11] => [4,6,2]
[1,2,4,5,3,6,7,9,12,8,10,11] => [4,5,3]
[1,2,4,5,3,6,7,12,8,9,10,11] => [4,4,4]
[1,2,4,3,6,7,5,9,8,12,10,11] => [3,3,2,2,2]
[1,2,4,3,6,7,5,8,10,12,9,11] => [3,3,4,2]
[1,2,4,3,6,7,5,8,12,9,10,11] => [3,3,3,3]
[1,2,4,3,6,5,8,9,7,12,10,11] => [3,2,3,2,2]
[1,2,4,3,6,5,8,7,10,12,9,11] => [3,2,2,3,2]
[1,2,4,3,6,5,8,7,12,9,10,11] => [3,2,2,2,3]
[1,2,4,3,6,5,7,9,10,12,8,11] => [3,2,5,2]
[1,2,4,3,6,5,7,9,12,8,10,11] => [3,2,4,3]
[1,2,4,3,6,5,7,12,8,9,10,11] => [3,2,3,4]
[1,2,4,3,5,7,8,9,6,12,10,11] => [3,5,2,2]
[1,2,4,3,5,7,8,6,10,12,9,11] => [3,4,3,2]
[1,2,4,3,5,7,8,6,12,9,10,11] => [3,4,2,3]
[1,2,4,3,5,7,6,9,10,12,8,11] => [3,3,4,2]
[1,2,4,3,5,7,6,9,12,8,10,11] => [3,3,3,3]
[1,2,4,3,5,7,6,12,8,9,10,11] => [3,3,2,4]
[1,2,4,3,5,6,8,9,10,12,7,11] => [3,7,2]
[1,2,4,3,5,6,8,9,12,7,10,11] => [3,6,3]
[1,2,4,3,5,6,8,12,7,9,10,11] => [3,5,4]
[1,2,4,3,5,6,12,7,8,9,10,11] => [3,4,5]
[1,2,3,5,6,7,4,9,8,12,10,11] => [6,2,2,2]
[1,2,3,5,6,7,4,8,10,12,9,11] => [6,4,2]
[1,2,3,5,6,7,4,8,12,9,10,11] => [6,3,3]
[1,2,3,5,6,4,8,9,7,12,10,11] => [5,3,2,2]
[1,2,3,5,6,4,8,7,10,12,9,11] => [5,2,3,2]
[1,2,3,5,6,4,8,7,12,9,10,11] => [5,2,2,3]
[1,2,3,5,6,4,7,9,10,12,8,11] => [5,5,2]
[1,2,3,5,6,4,7,9,12,8,10,11] => [5,4,3]
[1,2,3,5,6,4,7,12,8,9,10,11] => [5,3,4]
[1,2,3,5,4,7,8,9,6,12,10,11] => [4,4,2,2]
[1,2,3,5,4,7,8,6,10,12,9,11] => [4,3,3,2]
[1,2,3,5,4,7,8,6,12,9,10,11] => [4,3,2,3]
[1,2,3,5,4,7,6,9,10,12,8,11] => [4,2,4,2]
[1,2,3,5,4,7,6,9,12,8,10,11] => [4,2,3,3]
[1,2,3,5,4,7,6,12,8,9,10,11] => [4,2,2,4]
[1,2,3,5,4,6,8,9,10,12,7,11] => [4,6,2]
[1,2,3,5,4,6,8,9,12,7,10,11] => [4,5,3]
[1,2,3,5,4,6,8,12,7,9,10,11] => [4,4,4]
[1,2,3,5,4,6,12,7,8,9,10,11] => [4,3,5]
[1,2,3,4,6,7,8,9,5,12,10,11] => [8,2,2]
[1,2,3,4,6,7,8,5,10,12,9,11] => [7,3,2]
[1,2,3,4,6,7,8,5,12,9,10,11] => [7,2,3]
[1,2,3,4,6,7,5,9,10,12,8,11] => [6,4,2]
[1,2,3,4,6,7,5,9,12,8,10,11] => [6,3,3]
[1,2,3,4,6,7,5,12,8,9,10,11] => [6,2,4]
[1,2,3,4,6,5,8,9,10,12,7,11] => [5,5,2]
[1,2,3,4,6,5,8,9,12,7,10,11] => [5,4,3]
[1,2,3,4,6,5,8,12,7,9,10,11] => [5,3,4]
[1,2,3,4,6,5,12,7,8,9,10,11] => [5,2,5]
[1,2,3,4,5,7,8,9,10,12,6,11] => [10,2]
[1,2,3,4,5,7,8,9,12,6,10,11] => [9,3]
[1,2,3,4,5,7,8,12,6,9,10,11] => [8,4]
[1,2,3,4,5,7,12,6,8,9,10,11] => [7,5]
[12,10,11,8,9,6,7,1,2,3,4,5] => [1,2,2,2,5]
[12,11,8,9,10,5,6,7,1,2,3,4] => [1,1,3,3,4]
[12,11,9,10,5,6,7,8,1,2,3,4] => [1,1,2,4,4]
[12,11,9,10,6,7,8,1,2,3,4,5] => [1,1,2,3,5]
[12,11,10,6,7,8,9,1,2,3,4,5] => [1,1,1,4,5]
[11,12,9,10,6,7,8,1,2,3,4,5] => [2,2,3,5]
[12,9,10,11,6,7,8,1,2,3,4,5] => [1,3,3,5]
[2,1,4,3,6,5,10,12,9,11,8,7] => [1,2,2,3,2,1,1]
[2,1,4,3,8,10,7,9,6,5,12,11] => [1,2,3,2,1,2,1]
[2,1,4,3,10,12,7,9,6,11,8,5] => [1,2,3,2,2,1,1]
[2,1,4,3,10,7,12,8,9,11,6,5] => [1,2,2,2,3,1,1]
[2,1,4,3,6,9,12,8,11,10,7,5] => [1,2,4,2,1,1,1]
[2,1,4,6,5,3,10,12,9,11,8,7] => [1,3,1,3,2,1,1]
[2,1,6,8,5,7,4,3,10,9,12,11] => [1,3,2,1,2,2,1]
[2,1,6,8,5,7,4,3,10,12,11,9] => [1,3,2,1,3,1,1]
[2,1,8,10,5,7,4,9,6,3,12,11] => [1,3,2,2,1,2,1]
[2,1,10,12,5,7,4,9,6,11,8,3] => [1,3,2,2,2,1,1]
[2,1,8,9,5,7,4,12,10,6,11,3] => [1,3,2,2,1,2,1]
[2,1,10,7,5,12,8,4,9,11,6,3] => [1,2,1,2,1,3,1,1]
[2,1,6,9,5,12,8,4,11,10,7,3] => [1,3,2,1,2,1,1,1]
[2,1,6,7,5,8,12,9,4,10,11,3] => [1,3,3,1,3,1]
[2,1,8,5,10,6,7,9,4,3,12,11] => [1,2,2,3,1,2,1]
[2,1,10,5,12,6,7,9,4,11,8,3] => [1,2,2,3,2,1,1]
[2,1,4,7,10,6,9,8,5,3,12,11] => [1,4,2,1,1,2,1]
[2,1,10,7,12,6,9,8,5,11,4,3] => [1,2,2,2,1,2,1,1]
[2,1,4,9,12,6,11,8,10,5,7,3] => [1,4,2,2,2,1]
[2,1,10,5,6,12,7,8,9,11,4,3] => [1,2,3,4,1,1]
[2,1,4,9,6,12,7,8,11,10,5,3] => [1,3,2,3,1,1,1]
[2,1,4,5,8,12,7,11,9,10,6,3] => [1,5,2,2,1,1]
[2,4,3,1,6,5,10,12,9,11,8,7] => [2,1,2,3,2,1,1]
[2,4,3,1,8,10,7,9,6,5,12,11] => [2,1,3,2,1,2,1]
[2,4,3,1,10,12,7,9,6,11,8,5] => [2,1,3,2,2,1,1]
[2,4,3,1,10,7,12,8,9,11,6,5] => [2,1,2,2,3,1,1]
[2,4,3,1,6,9,12,8,11,10,7,5] => [2,1,4,2,1,1,1]
[4,6,3,5,2,1,8,7,10,9,12,11] => [2,2,1,2,2,2,1]
[4,6,3,5,2,1,8,7,10,12,11,9] => [2,2,1,2,3,1,1]
[4,6,3,5,2,1,8,10,9,7,12,11] => [2,2,1,3,1,2,1]
[4,6,3,5,2,1,10,12,9,11,8,7] => [2,2,1,3,2,1,1]
[4,6,3,5,2,1,8,9,12,10,11,7] => [2,2,1,4,2,1]
[6,8,3,5,2,7,4,1,10,9,12,11] => [2,2,2,1,2,2,1]
[6,8,3,5,2,7,4,1,10,12,11,9] => [2,2,2,1,3,1,1]
[8,10,3,5,2,7,4,9,6,1,12,11] => [2,2,2,2,1,2,1]
[10,12,3,5,2,7,4,9,6,11,8,1] => [2,2,2,2,2,1,1]
[8,9,3,5,2,7,4,12,10,6,11,1] => [2,2,2,2,1,2,1]
[6,7,3,5,2,10,8,4,9,1,12,11] => [2,2,2,1,2,2,1]
[10,7,3,5,2,12,8,4,9,11,6,1] => [1,1,2,2,1,3,1,1]
[6,9,3,5,2,12,8,4,11,10,7,1] => [2,2,2,1,2,1,1,1]
[6,7,3,5,2,8,12,9,4,10,11,1] => [2,2,3,1,3,1]
[8,5,3,10,6,2,7,9,4,1,12,11] => [1,1,2,1,3,1,2,1]
[10,5,3,12,6,2,7,9,4,11,8,1] => [1,1,2,1,3,2,1,1]
[8,5,3,9,6,2,7,12,10,4,11,1] => [1,1,2,1,3,1,2,1]
[4,7,3,10,6,2,9,8,5,1,12,11] => [2,2,1,2,1,1,2,1]
[10,7,3,12,6,2,9,8,5,11,4,1] => [1,1,2,1,2,1,2,1,1]
[4,9,3,12,6,2,11,8,10,5,7,1] => [2,2,1,2,2,2,1]
[4,7,3,8,6,2,12,10,9,5,11,1] => [2,2,1,2,1,1,2,1]
[4,5,3,6,10,7,2,8,9,1,12,11] => [2,3,1,3,2,1]
[10,5,3,6,12,7,2,8,9,11,4,1] => [1,1,3,1,4,1,1]
[4,9,3,6,12,7,2,8,11,10,5,1] => [2,3,1,3,1,1,1]
[4,5,3,8,12,7,2,11,9,10,6,1] => [2,3,1,2,2,1,1]
[2,3,6,4,5,1,10,12,9,11,8,7] => [3,2,3,2,1,1]
[6,3,8,4,5,7,2,1,10,9,12,11] => [1,2,3,1,2,2,1]
[6,3,8,4,5,7,2,1,10,12,11,9] => [1,2,3,1,3,1,1]
[8,3,10,4,5,7,2,9,6,1,12,11] => [1,2,3,2,1,2,1]
[10,3,12,4,5,7,2,9,6,11,8,1] => [1,2,3,2,2,1,1]
[8,3,9,4,5,7,2,12,10,6,11,1] => [1,2,3,2,1,2,1]
[10,3,7,4,5,12,8,2,9,11,6,1] => [1,2,3,1,3,1,1]
[6,3,9,4,5,12,8,2,11,10,7,1] => [1,2,3,1,2,1,1,1]
[6,3,7,4,5,8,12,9,2,10,11,1] => [1,2,4,1,3,1]
[2,5,8,4,7,6,3,1,10,9,12,11] => [3,2,1,1,2,2,1]
[2,5,8,4,7,6,3,1,10,12,11,9] => [3,2,1,1,3,1,1]
[8,5,10,4,7,6,3,9,2,1,12,11] => [1,2,2,1,2,1,2,1]
[10,5,12,4,7,6,3,9,2,11,8,1] => [1,2,2,1,2,2,1,1]
[8,5,9,4,7,6,3,12,10,2,11,1] => [1,2,2,1,2,1,2,1]
[2,7,10,4,9,6,8,3,5,1,12,11] => [3,2,2,2,2,1]
[10,7,12,4,9,6,8,3,5,11,2,1] => [1,2,2,2,3,1,1]
[2,9,12,4,11,6,8,3,10,5,7,1] => [3,2,2,2,2,1]
[2,7,8,4,12,6,10,9,3,5,11,1] => [3,2,2,1,3,1]
[10,5,6,4,12,8,7,3,9,11,2,1] => [1,2,2,1,1,3,1,1]
[2,9,6,4,12,8,7,3,11,10,5,1] => [2,1,2,1,1,2,1,1,1]
[2,5,8,4,12,11,7,9,3,10,6,1] => [3,2,1,2,2,1,1]
[2,5,6,4,7,12,9,8,3,10,11,1] => [3,3,1,1,3,1]
[8,3,4,10,5,6,7,9,2,1,12,11] => [1,3,4,1,2,1]
[10,3,4,12,5,6,7,9,2,11,8,1] => [1,3,4,2,1,1]
[2,7,4,10,5,6,9,8,3,1,12,11] => [2,2,3,1,1,2,1]
[10,7,4,12,5,6,9,8,3,11,2,1] => [1,1,2,3,1,2,1,1]
[2,9,4,12,5,6,11,8,10,3,7,1] => [2,2,3,2,2,1]
[2,3,6,10,5,9,7,8,4,1,12,11] => [4,2,2,1,2,1]
[10,3,6,12,5,9,7,8,4,11,2,1] => [1,3,2,2,2,1,1]
[2,9,6,12,5,11,7,8,10,4,3,1] => [2,2,2,3,1,1,1]
[2,3,8,12,5,11,7,10,9,4,6,1] => [4,2,2,1,2,1]
[10,3,4,5,12,6,7,8,9,11,2,1] => [1,4,5,1,1]
[2,9,4,5,12,6,7,8,11,10,3,1] => [2,3,4,1,1,1]
[2,3,8,5,12,6,7,11,9,10,4,1] => [3,2,3,2,1,1]
[2,3,4,7,12,6,11,8,9,10,5,1] => [5,2,3,1,1]
[2,1,4,3,6,5,10,9,11,12,8,7] => [1,2,2,2,3,1,1]
[2,1,4,3,8,7,9,10,6,5,12,11] => [1,2,2,3,1,2,1]
[2,1,4,3,10,7,9,11,6,12,8,5] => [1,2,2,3,2,1,1]
[2,1,4,3,8,7,9,10,11,12,6,5] => [1,2,2,5,1,1]
[2,1,4,3,10,7,8,9,11,12,6,5] => [1,2,2,5,1,1]
[2,1,4,3,6,9,8,10,11,7,12,5] => [1,2,3,3,2,1]
[2,1,4,5,6,3,10,9,11,12,8,7] => [1,4,2,3,1,1]
[2,1,6,5,7,8,4,3,10,9,12,11] => [1,2,3,1,2,2,1]
[2,1,6,5,7,8,4,3,10,11,12,9] => [1,2,3,1,4,1]
[2,1,8,5,7,9,4,10,6,3,12,11] => [1,2,3,2,1,2,1]
[2,1,10,5,7,9,4,11,6,12,8,3] => [1,2,3,2,2,1,1]
[2,1,8,5,7,9,4,10,11,12,6,3] => [1,2,3,4,1,1]
[2,1,6,5,7,8,9,10,4,3,12,11] => [1,2,5,1,2,1]
[2,1,10,5,7,8,9,11,4,12,6,3] => [1,2,5,2,1,1]
[2,1,6,5,9,8,10,11,12,4,7,3] => [1,2,2,4,2,1]
[2,1,6,5,7,8,9,10,11,12,4,3] => [1,2,7,1,1]
[2,1,8,5,6,7,9,10,4,3,12,11] => [1,2,5,1,2,1]
[2,1,10,5,6,7,9,11,4,12,8,3] => [1,2,5,2,1,1]
[2,1,8,5,6,7,9,10,11,12,4,3] => [1,2,7,1,1]
[2,1,4,7,6,8,9,5,10,3,12,11] => [1,3,3,2,2,1]
[2,1,10,7,6,8,9,5,11,12,4,3] => [1,2,1,3,3,1,1]
[2,1,4,9,6,8,10,5,11,7,12,3] => [1,3,3,2,2,1]
[2,1,4,7,6,8,9,10,11,5,12,3] => [1,3,5,2,1]
[2,1,10,5,6,7,8,9,11,12,4,3] => [1,2,7,1,1]
[2,1,4,9,6,7,8,10,11,5,12,3] => [1,3,5,2,1]
[2,1,4,5,8,7,9,10,6,11,12,3] => [1,4,3,3,1]
[2,3,4,1,6,5,10,9,11,12,8,7] => [3,2,2,3,1,1]
[2,3,4,1,8,7,9,10,6,5,12,11] => [3,2,3,1,2,1]
[2,3,4,1,10,7,9,11,6,12,8,5] => [3,2,3,2,1,1]
[2,3,4,1,8,7,9,10,11,12,6,5] => [3,2,5,1,1]
[2,3,4,1,10,7,8,9,11,12,6,5] => [3,2,5,1,1]
[2,3,4,1,6,9,8,10,11,7,12,5] => [3,3,3,2,1]
[4,3,5,6,2,1,8,7,10,9,12,11] => [1,3,1,2,2,2,1]
[4,3,5,6,2,1,8,7,10,11,12,9] => [1,3,1,2,4,1]
[4,3,5,6,2,1,8,9,10,7,12,11] => [1,3,1,4,2,1]
[4,3,5,6,2,1,10,9,11,12,8,7] => [1,3,1,2,3,1,1]
[4,3,5,6,2,1,8,9,10,11,12,7] => [1,3,1,6,1]
[6,3,5,7,2,8,4,1,10,9,12,11] => [1,3,2,1,2,2,1]
[6,3,5,7,2,8,4,1,10,11,12,9] => [1,3,2,1,4,1]
[8,3,5,7,2,9,4,10,6,1,12,11] => [1,3,2,2,1,2,1]
[10,3,5,7,2,9,4,11,6,12,8,1] => [1,3,2,2,2,1,1]
[8,3,5,7,2,9,4,10,11,12,6,1] => [1,3,2,4,1,1]
[6,3,5,7,2,8,9,10,4,1,12,11] => [1,3,4,1,2,1]
[10,3,5,7,2,8,9,11,4,12,6,1] => [1,3,4,2,1,1]
[6,3,5,9,2,8,10,11,12,4,7,1] => [1,3,5,2,1]
[6,3,5,7,2,8,9,10,11,12,4,1] => [1,3,6,1,1]
[4,3,5,6,7,8,2,1,10,9,12,11] => [1,5,1,2,2,1]
[4,3,5,6,7,8,2,1,10,11,12,9] => [1,5,1,4,1]
[8,3,5,6,7,9,2,10,4,1,12,11] => [1,5,2,1,2,1]
[10,3,5,6,7,9,2,11,4,12,8,1] => [1,5,2,2,1,1]
[8,3,5,6,7,9,2,10,11,12,4,1] => [1,5,4,1,1]
[4,3,7,6,8,9,10,2,5,1,12,11] => [1,2,4,2,2,1]
[10,3,7,6,8,9,11,2,5,12,4,1] => [1,2,4,3,1,1]
[4,3,9,6,8,10,11,2,12,5,7,1] => [1,2,4,2,2,1]
[4,3,7,6,8,9,10,11,12,2,5,1] => [1,2,6,2,1]
[4,3,5,6,7,8,9,10,2,1,12,11] => [1,7,1,2,1]
[10,3,5,6,7,8,9,11,2,12,4,1] => [1,7,2,1,1]
[4,3,9,6,7,8,10,11,12,2,5,1] => [1,2,6,2,1]
[4,3,5,8,7,9,10,11,2,12,6,1] => [1,3,4,2,1,1]
[4,3,5,6,7,8,9,10,11,12,2,1] => [1,9,1,1]
[2,3,4,5,6,1,10,9,11,12,8,7] => [5,2,3,1,1]
[6,3,4,5,7,8,2,1,10,9,12,11] => [1,5,1,2,2,1]
[6,3,4,5,7,8,2,1,10,11,12,9] => [1,5,1,4,1]
[8,3,4,5,7,9,2,10,6,1,12,11] => [1,5,2,1,2,1]
[10,3,4,5,7,9,2,11,6,12,8,1] => [1,5,2,2,1,1]
[8,3,4,5,7,9,2,10,11,12,6,1] => [1,5,4,1,1]
[6,3,4,5,7,8,9,10,2,1,12,11] => [1,7,1,2,1]
[10,3,4,5,7,8,9,11,2,12,6,1] => [1,7,2,1,1]
[6,3,4,5,9,8,10,11,12,2,7,1] => [1,4,4,2,1]
[6,3,4,5,7,8,9,10,11,12,2,1] => [1,9,1,1]
[2,5,4,6,7,3,8,1,10,9,12,11] => [2,3,2,2,2,1]
[2,5,4,6,7,3,8,1,10,11,12,9] => [2,3,2,4,1]
[8,5,4,6,7,3,9,10,2,1,12,11] => [1,1,3,3,1,2,1]
[10,5,4,6,7,3,9,11,2,12,8,1] => [1,1,3,3,2,1,1]
[8,5,4,6,7,3,9,10,11,12,2,1] => [1,1,3,5,1,1]
[2,7,4,6,8,3,9,5,10,1,12,11] => [2,3,2,2,2,1]
[10,7,4,6,8,3,9,5,11,12,2,1] => [1,1,3,2,3,1,1]
[2,9,4,6,8,3,10,5,11,7,12,1] => [2,3,2,2,2,1]
[2,7,4,6,8,3,9,10,11,5,12,1] => [2,3,4,2,1]
[2,5,4,6,7,8,9,3,10,1,12,11] => [2,5,2,2,1]
[10,5,4,6,7,8,9,3,11,12,2,1] => [1,1,5,3,1,1]
[2,9,4,6,7,8,10,3,11,5,12,1] => [2,5,2,2,1]
[2,5,4,8,7,9,10,11,3,6,12,1] => [2,2,4,3,1]
[2,5,4,6,7,8,9,10,11,3,12,1] => [2,7,2,1]
[8,3,4,5,6,7,9,10,2,1,12,11] => [1,7,1,2,1]
[10,3,4,5,6,7,9,11,2,12,8,1] => [1,7,2,1,1]
[8,3,4,5,6,7,9,10,11,12,2,1] => [1,9,1,1]
[2,7,4,5,6,8,9,3,10,1,12,11] => [2,5,2,2,1]
[10,7,4,5,6,8,9,3,11,12,2,1] => [1,1,5,3,1,1]
[2,9,4,5,6,8,10,3,11,7,12,1] => [2,5,2,2,1]
[2,7,4,5,6,8,9,10,11,3,12,1] => [2,7,2,1]
[2,3,6,5,7,8,4,9,10,1,12,11] => [3,3,3,2,1]
[10,3,6,5,7,8,4,9,11,12,2,1] => [1,2,3,4,1,1]
[2,9,6,5,7,8,4,10,11,3,12,1] => [2,1,3,3,2,1]
[2,3,8,5,7,9,4,10,6,11,12,1] => [3,3,2,3,1]
[2,3,6,5,7,8,9,10,4,11,12,1] => [3,5,3,1]
[10,3,4,5,6,7,8,9,11,12,2,1] => [1,9,1,1]
[2,9,4,5,6,7,8,10,11,3,12,1] => [2,7,2,1]
[2,3,8,5,6,7,9,10,4,11,12,1] => [3,5,3,1]
[2,3,4,7,6,8,9,5,10,11,12,1] => [4,3,4,1]
[2,12,11,10,9,8,7,6,5,4,3,1] => [2,1,1,1,1,1,1,1,1,1,1]
[3,2,5,4,7,6,9,8,1,10,11,12] => [1,2,2,2,1,4]
[3,2,5,4,7,6,1,11,10,8,9,12] => [1,2,2,1,2,1,3]
[3,2,5,4,7,6,1,8,9,10,11,12] => [1,2,2,1,6]
[3,2,5,4,9,8,7,6,1,10,11,12] => [1,2,2,1,1,1,4]
[3,2,5,4,1,9,8,11,10,6,7,12] => [1,2,1,2,2,1,3]
[3,2,5,4,1,9,8,6,7,10,11,12] => [1,2,1,2,1,5]
[3,2,5,4,1,11,10,9,8,6,7,12] => [1,2,1,2,1,1,1,3]
[3,2,5,4,1,6,11,10,7,8,9,12] => [1,2,1,3,1,4]
[3,2,5,4,1,6,7,8,9,10,11,12] => [1,2,1,8]
[3,2,7,6,5,4,9,8,1,10,11,12] => [1,2,1,1,2,1,4]
[3,2,7,6,5,4,1,11,10,8,9,12] => [1,2,1,1,1,2,1,3]
[3,2,7,6,5,4,1,8,9,10,11,12] => [1,2,1,1,1,6]
[3,2,9,6,5,8,7,4,1,10,11,12] => [1,2,1,2,1,1,4]
[3,2,1,7,6,9,8,11,10,4,5,12] => [1,1,2,2,2,1,3]
[3,2,1,7,6,9,8,4,5,10,11,12] => [1,1,2,2,1,5]
[3,2,1,7,6,11,10,9,8,4,5,12] => [1,1,2,2,1,1,1,3]
[3,2,1,7,6,4,11,10,5,8,9,12] => [1,1,2,1,2,1,4]
[3,2,1,7,6,4,5,8,9,10,11,12] => [1,1,2,1,7]
[3,2,9,8,7,6,5,4,1,10,11,12] => [1,2,1,1,1,1,1,4]
[3,2,1,9,8,7,6,11,10,4,5,12] => [1,1,2,1,1,2,1,3]
[3,2,1,9,8,7,6,4,5,10,11,12] => [1,1,2,1,1,1,5]
[3,2,1,11,8,7,10,9,6,4,5,12] => [1,1,2,1,2,1,1,3]
[3,2,1,4,9,8,11,10,5,6,7,12] => [1,1,3,2,1,4]
[3,2,1,4,9,8,5,6,7,10,11,12] => [1,1,3,1,6]
[3,2,1,11,10,9,8,7,6,4,5,12] => [1,1,2,1,1,1,1,1,3]
[3,2,1,4,11,10,9,8,5,6,7,12] => [1,1,3,1,1,1,4]
[3,2,1,4,5,11,10,6,7,8,9,12] => [1,1,4,1,5]
[3,2,1,4,5,6,7,8,9,10,11,12] => [1,1,10]
[5,4,3,2,7,6,9,8,1,10,11,12] => [1,1,1,2,2,1,4]
[5,4,3,2,7,6,1,11,10,8,9,12] => [1,1,1,2,1,2,1,3]
[5,4,3,2,7,6,1,8,9,10,11,12] => [1,1,1,2,1,6]
[5,4,3,2,9,8,7,6,1,10,11,12] => [1,1,1,2,1,1,1,4]
[5,4,3,2,1,9,8,11,10,6,7,12] => [1,1,1,1,2,2,1,3]
[5,4,3,2,1,9,8,6,7,10,11,12] => [1,1,1,1,2,1,5]
[5,4,3,2,1,11,10,9,8,6,7,12] => [1,1,1,1,2,1,1,1,3]
[5,4,3,2,1,6,11,10,7,8,9,12] => [1,1,1,1,3,1,4]
[5,4,3,2,1,6,7,8,9,10,11,12] => [1,1,1,1,8]
[7,4,3,6,5,2,9,8,1,10,11,12] => [1,1,2,1,2,1,4]
[7,4,3,6,5,2,1,11,10,8,9,12] => [1,1,2,1,1,2,1,3]
[7,4,3,6,5,2,1,8,9,10,11,12] => [1,1,2,1,1,6]
[9,4,3,6,5,8,7,2,1,10,11,12] => [1,1,2,2,1,1,4]
[1,5,4,7,6,9,8,11,10,2,3,12] => [2,2,2,2,1,3]
[1,5,4,7,6,9,8,2,3,10,11,12] => [2,2,2,1,5]
[1,5,4,7,6,11,10,9,8,2,3,12] => [2,2,2,1,1,1,3]
[1,5,4,7,6,2,11,10,3,8,9,12] => [2,2,1,2,1,4]
[1,5,4,7,6,2,3,8,9,10,11,12] => [2,2,1,7]
[9,4,3,8,7,6,5,2,1,10,11,12] => [1,1,2,1,1,1,1,4]
[1,5,4,9,8,7,6,11,10,2,3,12] => [2,2,1,1,2,1,3]
[1,5,4,9,8,7,6,2,3,10,11,12] => [2,2,1,1,1,5]
[1,5,4,11,8,7,10,9,6,2,3,12] => [2,2,1,2,1,1,3]
[1,5,4,2,9,8,11,10,3,6,7,12] => [2,1,2,2,1,4]
[1,5,4,2,9,8,3,6,7,10,11,12] => [2,1,2,1,6]
[1,5,4,11,10,9,8,7,6,2,3,12] => [2,2,1,1,1,1,1,3]
[1,5,4,2,11,10,9,8,3,6,7,12] => [2,1,2,1,1,1,4]
[1,5,4,2,3,11,10,6,7,8,9,12] => [2,1,3,1,5]
[1,5,4,2,3,6,7,8,9,10,11,12] => [2,1,9]
[7,6,5,4,3,2,9,8,1,10,11,12] => [1,1,1,1,1,2,1,4]
[7,6,5,4,3,2,1,11,10,8,9,12] => [1,1,1,1,1,1,2,1,3]
[9,6,5,4,3,8,7,2,1,10,11,12] => [1,1,1,1,2,1,1,4]
[1,7,6,5,4,9,8,11,10,2,3,12] => [2,1,1,2,2,1,3]
[1,7,6,5,4,9,8,2,3,10,11,12] => [2,1,1,2,1,5]
[1,7,6,5,4,11,10,9,8,2,3,12] => [2,1,1,2,1,1,1,3]
[1,7,6,5,4,2,11,10,3,8,9,12] => [2,1,1,1,2,1,4]
[1,7,6,5,4,2,3,8,9,10,11,12] => [2,1,1,1,7]
[9,8,5,4,7,6,3,2,1,10,11,12] => [1,1,1,2,1,1,1,4]
[1,9,6,5,8,7,4,11,10,2,3,12] => [2,1,2,1,2,1,3]
[1,9,6,5,8,7,4,2,3,10,11,12] => [2,1,2,1,1,5]
[1,11,6,5,8,7,10,9,4,2,3,12] => [2,1,2,2,1,1,3]
[1,2,7,6,9,8,11,10,3,4,5,12] => [3,2,2,1,4]
[1,2,7,6,9,8,3,4,5,10,11,12] => [3,2,1,6]
[1,11,6,5,10,9,8,7,4,2,3,12] => [2,1,2,1,1,1,1,3]
[1,2,7,6,11,10,9,8,3,4,5,12] => [3,2,1,1,1,4]
[1,2,7,6,3,11,10,4,5,8,9,12] => [3,1,2,1,5]
[1,2,7,6,3,4,5,8,9,10,11,12] => [3,1,8]
[9,8,7,6,5,4,3,2,1,10,11,12] => [1,1,1,1,1,1,1,1,4]
[1,9,8,7,6,5,4,11,10,2,3,12] => [2,1,1,1,1,2,1,3]
[1,9,8,7,6,5,4,2,3,10,11,12] => [2,1,1,1,1,1,5]
[1,11,8,7,6,5,10,9,4,2,3,12] => [2,1,1,1,2,1,1,3]
[1,2,9,8,7,6,11,10,3,4,5,12] => [3,1,1,2,1,4]
[1,2,9,8,7,6,3,4,5,10,11,12] => [3,1,1,1,6]
[1,11,10,7,6,9,8,5,4,2,3,12] => [2,1,1,2,1,1,1,3]
[1,2,11,8,7,10,9,6,3,4,5,12] => [3,1,2,1,1,4]
[1,2,3,9,8,11,10,4,5,6,7,12] => [4,2,1,5]
[1,2,3,9,8,4,5,6,7,10,11,12] => [4,1,7]
[1,11,10,9,8,7,6,5,4,2,3,12] => [2,1,1,1,1,1,1,1,3]
[1,2,11,10,9,8,7,6,3,4,5,12] => [3,1,1,1,1,1,4]
[1,2,3,11,10,9,8,4,5,6,7,12] => [4,1,1,1,5]
[1,2,3,4,11,10,5,6,7,8,9,12] => [5,1,6]
[11,2,3,4,5,6,7,8,9,12,1,10] => [1,9,2]
[12,2,3,4,5,6,7,8,9,10,11,1] => [1,10,1]
[11,2,3,4,5,6,7,8,9,10,12,1] => [1,10,1]
[11,12,9,10,7,8,5,6,3,1,4,2] => [2,2,2,2,1,2,1]
[11,12,9,10,7,8,5,3,6,4,1,2] => [2,2,2,1,2,1,2]
[11,12,9,10,7,8,5,3,6,1,4,2] => [2,2,2,1,2,2,1]
[11,12,9,10,7,8,5,3,1,6,4,2] => [2,2,2,1,1,2,1,1]
[11,12,9,10,7,5,8,6,3,4,1,2] => [2,2,1,2,1,2,2]
[11,12,9,10,7,5,8,6,3,1,4,2] => [2,2,1,2,1,1,2,1]
[11,12,9,10,7,5,8,3,6,4,1,2] => [2,2,1,2,2,1,2]
[11,12,9,10,7,5,8,3,6,1,4,2] => [2,2,1,2,2,2,1]
[11,12,9,10,7,5,8,3,1,6,4,2] => [2,2,1,2,1,2,1,1]
[11,12,9,10,7,5,3,8,6,4,1,2] => [2,2,1,1,2,1,1,2]
[11,12,9,10,7,5,3,8,6,1,4,2] => [2,2,1,1,2,1,2,1]
[11,12,9,10,7,5,3,8,1,6,4,2] => [2,2,1,1,2,2,1,1]
[11,12,9,10,7,5,3,1,8,6,4,2] => [2,2,1,1,1,2,1,1,1]
[11,12,9,7,10,8,5,6,3,4,1,2] => [2,1,2,1,2,2,2]
[11,12,9,7,10,8,5,6,3,1,4,2] => [2,1,2,1,2,1,2,1]
[11,12,9,7,10,8,5,3,6,4,1,2] => [2,1,2,1,1,2,1,2]
[11,12,9,7,10,8,5,3,6,1,4,2] => [2,1,2,1,1,2,2,1]
[11,12,9,7,10,8,5,3,1,6,4,2] => [2,1,2,1,1,1,2,1,1]
[11,12,9,7,10,5,8,6,3,4,1,2] => [2,1,2,2,1,2,2]
[11,12,9,7,10,5,8,6,3,1,4,2] => [2,1,2,2,1,1,2,1]
[11,12,9,7,10,5,8,3,6,4,1,2] => [2,1,2,2,2,1,2]
[11,12,9,7,10,5,8,3,6,1,4,2] => [2,1,2,2,2,2,1]
[11,12,9,7,10,5,8,3,1,6,4,2] => [2,1,2,2,1,2,1,1]
[11,12,9,7,10,5,3,8,6,4,1,2] => [2,1,2,1,2,1,1,2]
[11,12,9,7,10,5,3,8,6,1,4,2] => [2,1,2,1,2,1,2,1]
[11,12,9,7,10,5,3,8,1,6,4,2] => [2,1,2,1,2,2,1,1]
[11,12,9,7,10,5,3,1,8,6,4,2] => [2,1,2,1,1,2,1,1,1]
[11,12,9,7,5,10,8,6,3,4,1,2] => [2,1,1,2,1,1,2,2]
[11,12,9,7,5,10,8,6,3,1,4,2] => [2,1,1,2,1,1,1,2,1]
[11,12,9,7,5,10,8,3,6,4,1,2] => [2,1,1,2,1,2,1,2]
[11,12,9,7,5,10,8,3,6,1,4,2] => [2,1,1,2,1,2,2,1]
[11,12,9,7,5,10,8,3,1,6,4,2] => [2,1,1,2,1,1,2,1,1]
[11,12,9,7,5,10,3,8,6,4,1,2] => [2,1,1,2,2,1,1,2]
[11,12,9,7,5,10,3,8,6,1,4,2] => [2,1,1,2,2,1,2,1]
[11,12,9,7,5,10,3,8,1,6,4,2] => [2,1,1,2,2,2,1,1]
[11,12,9,7,5,10,3,1,8,6,4,2] => [2,1,1,2,1,2,1,1,1]
[11,12,9,7,5,3,10,8,6,4,1,2] => [2,1,1,1,2,1,1,1,2]
[11,12,9,7,5,3,10,8,6,1,4,2] => [2,1,1,1,2,1,1,2,1]
[11,12,9,7,5,3,10,8,1,6,4,2] => [2,1,1,1,2,1,2,1,1]
[11,12,9,7,5,3,10,1,8,6,4,2] => [2,1,1,1,2,2,1,1,1]
[11,12,9,7,5,3,1,10,8,6,4,2] => [2,1,1,1,1,2,1,1,1,1]
[11,9,12,10,7,8,5,6,3,4,1,2] => [1,2,1,2,2,2,2]
[11,9,12,10,7,8,5,6,3,1,4,2] => [1,2,1,2,2,1,2,1]
[11,9,12,10,7,8,5,3,6,4,1,2] => [1,2,1,2,1,2,1,2]
[11,9,12,10,7,8,5,3,6,1,4,2] => [1,2,1,2,1,2,2,1]
[11,9,12,10,7,8,5,3,1,6,4,2] => [1,2,1,2,1,1,2,1,1]
[11,9,12,10,7,5,8,6,3,4,1,2] => [1,2,1,1,2,1,2,2]
[11,9,12,10,7,5,8,6,3,1,4,2] => [1,2,1,1,2,1,1,2,1]
[11,9,12,10,7,5,8,3,6,4,1,2] => [1,2,1,1,2,2,1,2]
[11,9,12,10,7,5,8,3,6,1,4,2] => [1,2,1,1,2,2,2,1]
[11,9,12,10,7,5,8,3,1,6,4,2] => [1,2,1,1,2,1,2,1,1]
[11,9,12,10,7,5,3,8,6,4,1,2] => [1,2,1,1,1,2,1,1,2]
[11,9,12,10,7,5,3,8,6,1,4,2] => [1,2,1,1,1,2,1,2,1]
[11,9,12,10,7,5,3,8,1,6,4,2] => [1,2,1,1,1,2,2,1,1]
[11,9,12,10,7,5,3,1,8,6,4,2] => [1,2,1,1,1,1,2,1,1,1]
[11,9,12,7,10,8,5,6,3,4,1,2] => [1,2,2,1,2,2,2]
[11,9,12,7,10,8,5,6,3,1,4,2] => [1,2,2,1,2,1,2,1]
[11,9,12,7,10,8,5,3,6,4,1,2] => [1,2,2,1,1,2,1,2]
[11,9,12,7,10,8,5,3,6,1,4,2] => [1,2,2,1,1,2,2,1]
[11,9,12,7,10,8,5,3,1,6,4,2] => [1,2,2,1,1,1,2,1,1]
[11,9,12,7,10,5,8,6,3,4,1,2] => [1,2,2,2,1,2,2]
[11,9,12,7,10,5,8,6,3,1,4,2] => [1,2,2,2,1,1,2,1]
[11,9,12,7,10,5,8,3,6,4,1,2] => [1,2,2,2,2,1,2]
[11,9,12,7,10,5,8,3,6,1,4,2] => [1,2,2,2,2,2,1]
[11,9,12,7,10,5,8,3,1,6,4,2] => [1,2,2,2,1,2,1,1]
[11,9,12,7,10,5,3,8,6,4,1,2] => [1,2,2,1,2,1,1,2]
[11,9,12,7,10,5,3,8,6,1,4,2] => [1,2,2,1,2,1,2,1]
[11,9,12,7,10,5,3,8,1,6,4,2] => [1,2,2,1,2,2,1,1]
[11,9,12,7,10,5,3,1,8,6,4,2] => [1,2,2,1,1,2,1,1,1]
[11,9,12,7,5,10,8,6,3,4,1,2] => [1,2,1,2,1,1,2,2]
[11,9,12,7,5,10,8,6,3,1,4,2] => [1,2,1,2,1,1,1,2,1]
[11,9,12,7,5,10,8,3,6,4,1,2] => [1,2,1,2,1,2,1,2]
[11,9,12,7,5,10,8,3,6,1,4,2] => [1,2,1,2,1,2,2,1]
[11,9,12,7,5,10,8,3,1,6,4,2] => [1,2,1,2,1,1,2,1,1]
[11,9,12,7,5,10,3,8,6,4,1,2] => [1,2,1,2,2,1,1,2]
[11,9,12,7,5,10,3,8,6,1,4,2] => [1,2,1,2,2,1,2,1]
[11,9,12,7,5,10,3,8,1,6,4,2] => [1,2,1,2,2,2,1,1]
[11,9,12,7,5,10,3,1,8,6,4,2] => [1,2,1,2,1,2,1,1,1]
[11,9,12,7,5,3,10,8,6,4,1,2] => [1,2,1,1,2,1,1,1,2]
[11,9,12,7,5,3,10,8,6,1,4,2] => [1,2,1,1,2,1,1,2,1]
[11,9,12,7,5,3,10,8,1,6,4,2] => [1,2,1,1,2,1,2,1,1]
[11,9,12,7,5,3,10,1,8,6,4,2] => [1,2,1,1,2,2,1,1,1]
[11,9,12,7,5,3,1,10,8,6,4,2] => [1,2,1,1,1,2,1,1,1,1]
[11,9,7,12,10,8,5,6,3,4,1,2] => [1,1,2,1,1,2,2,2]
[11,9,7,12,10,8,5,6,3,1,4,2] => [1,1,2,1,1,2,1,2,1]
[11,9,7,12,10,8,5,3,6,4,1,2] => [1,1,2,1,1,1,2,1,2]
[11,9,7,12,10,8,5,3,6,1,4,2] => [1,1,2,1,1,1,2,2,1]
[11,9,7,12,10,8,5,3,1,6,4,2] => [1,1,2,1,1,1,1,2,1,1]
[11,9,7,12,10,5,8,6,3,4,1,2] => [1,1,2,1,2,1,2,2]
[11,9,7,12,10,5,8,6,3,1,4,2] => [1,1,2,1,2,1,1,2,1]
[11,9,7,12,10,5,8,3,6,4,1,2] => [1,1,2,1,2,2,1,2]
[11,9,7,12,10,5,8,3,6,1,4,2] => [1,1,2,1,2,2,2,1]
[11,9,7,12,10,5,8,3,1,6,4,2] => [1,1,2,1,2,1,2,1,1]
[11,9,7,12,10,5,3,8,6,4,1,2] => [1,1,2,1,1,2,1,1,2]
[11,9,7,12,10,5,3,8,6,1,4,2] => [1,1,2,1,1,2,1,2,1]
[11,9,7,12,10,5,3,8,1,6,4,2] => [1,1,2,1,1,2,2,1,1]
[11,9,7,12,10,5,3,1,8,6,4,2] => [1,1,2,1,1,1,2,1,1,1]
[11,9,7,12,5,10,8,6,3,4,1,2] => [1,1,2,2,1,1,2,2]
[11,9,7,12,5,10,8,6,3,1,4,2] => [1,1,2,2,1,1,1,2,1]
[11,9,7,12,5,10,8,3,6,4,1,2] => [1,1,2,2,1,2,1,2]
[11,9,7,12,5,10,8,3,6,1,4,2] => [1,1,2,2,1,2,2,1]
[11,9,7,12,5,10,8,3,1,6,4,2] => [1,1,2,2,1,1,2,1,1]
[11,9,7,12,5,10,3,8,6,4,1,2] => [1,1,2,2,2,1,1,2]
[11,9,7,12,5,10,3,8,6,1,4,2] => [1,1,2,2,2,1,2,1]
[11,9,7,12,5,10,3,8,1,6,4,2] => [1,1,2,2,2,2,1,1]
[11,9,7,12,5,10,3,1,8,6,4,2] => [1,1,2,2,1,2,1,1,1]
[11,9,7,12,5,3,10,8,6,4,1,2] => [1,1,2,1,2,1,1,1,2]
[11,9,7,12,5,3,10,8,6,1,4,2] => [1,1,2,1,2,1,1,2,1]
[11,9,7,12,5,3,10,8,1,6,4,2] => [1,1,2,1,2,1,2,1,1]
[11,9,7,12,5,3,10,1,8,6,4,2] => [1,1,2,1,2,2,1,1,1]
[11,9,7,12,5,3,1,10,8,6,4,2] => [1,1,2,1,1,2,1,1,1,1]
[11,9,7,5,12,10,8,6,3,4,1,2] => [1,1,1,2,1,1,1,2,2]
[11,9,7,5,12,10,8,6,3,1,4,2] => [1,1,1,2,1,1,1,1,2,1]
[11,9,7,5,12,10,8,3,6,4,1,2] => [1,1,1,2,1,1,2,1,2]
[11,9,7,5,12,10,8,3,6,1,4,2] => [1,1,1,2,1,1,2,2,1]
[11,9,7,5,12,10,8,3,1,6,4,2] => [1,1,1,2,1,1,1,2,1,1]
[11,9,7,5,12,10,3,8,6,4,1,2] => [1,1,1,2,1,2,1,1,2]
[11,9,7,5,12,10,3,8,6,1,4,2] => [1,1,1,2,1,2,1,2,1]
[11,9,7,5,12,10,3,8,1,6,4,2] => [1,1,1,2,1,2,2,1,1]
[11,9,7,5,12,10,3,1,8,6,4,2] => [1,1,1,2,1,1,2,1,1,1]
[11,9,7,5,12,3,10,8,6,4,1,2] => [1,1,1,2,2,1,1,1,2]
[11,9,7,5,12,3,10,8,6,1,4,2] => [1,1,1,2,2,1,1,2,1]
[11,9,7,5,12,3,10,8,1,6,4,2] => [1,1,1,2,2,1,2,1,1]
[11,9,7,5,12,3,10,1,8,6,4,2] => [1,1,1,2,2,2,1,1,1]
[11,9,7,5,12,3,1,10,8,6,4,2] => [1,1,1,2,1,2,1,1,1,1]
[11,9,7,5,3,12,10,8,6,4,1,2] => [1,1,1,1,2,1,1,1,1,2]
[11,9,7,5,3,12,10,8,6,1,4,2] => [1,1,1,1,2,1,1,1,2,1]
[11,9,7,5,3,12,10,8,1,6,4,2] => [1,1,1,1,2,1,1,2,1,1]
[11,9,7,5,3,12,10,1,8,6,4,2] => [1,1,1,1,2,1,2,1,1,1]
[11,9,7,5,3,12,1,10,8,6,4,2] => [1,1,1,1,2,2,1,1,1,1]
[10,7,11,4,8,12,2,5,9,1,3,6,13] => [1,2,3,3,4]
[10,6,11,4,7,2,5,12,13,1,3,8,9] => [1,2,2,4,4]
[9,6,10,4,7,2,5,11,1,3,8,12,13] => [1,2,2,3,5]
[10,6,3,11,12,2,7,8,13,1,4,5,9] => [1,1,3,4,4]
[9,6,3,10,11,2,7,8,1,4,5,12,13] => [1,1,3,3,5]
[9,5,3,10,2,6,11,12,1,4,7,8,13] => [1,1,2,4,5]
[10,11,6,7,12,3,4,8,13,1,2,5,9] => [2,3,4,4]
[9,10,6,7,11,3,4,8,1,2,5,12,13] => [2,3,3,5]
[9,10,5,6,3,4,11,12,1,2,7,8,13] => [2,2,4,5]
[9,5,10,11,2,6,7,12,1,3,4,8,13] => [1,3,4,5]
[13,10,11,12,6,7,8,9,1,2,3,4,5] => [1,3,4,5]
[12,13,9,10,11,5,6,7,8,1,2,3,4] => [2,3,4,4]
[13,11,12,8,9,10,5,6,7,1,2,3,4] => [1,2,3,3,4]
[2,3,4,5,6,7,8,9,10,13,12,1,11] => [10,1,2]
[4,3,1,5,6,7,8,9,10,11,12,13,2] => [1,1,10,1]
[11,1,9,2,13,3,8,4,10,5,12,6,7] => [1,2,2,2,2,2,2]
[13,1,12,2,7,3,9,4,10,11,5,6,8] => [1,2,2,2,3,3]
[13,1,11,2,6,3,10,9,4,5,12,7,8] => [1,2,2,2,1,3,2]
[13,1,12,2,7,3,8,10,4,11,5,6,9] => [1,2,2,3,2,3]
[13,1,12,2,6,3,8,11,10,4,5,7,9] => [1,2,2,3,1,4]
[9,1,5,2,11,13,3,4,10,6,12,7,8] => [1,2,3,3,2,2]
[13,1,5,2,12,8,3,4,10,11,6,7,9] => [1,2,2,1,4,3]
[13,1,11,2,6,7,3,10,4,5,12,8,9] => [1,2,3,2,3,2]
[10,1,5,2,11,7,13,3,4,6,12,8,9] => [1,2,2,2,4,2]
[13,1,12,2,8,7,3,9,4,11,5,6,10] => [1,2,2,1,2,2,3]
[13,1,12,2,6,8,3,9,11,4,5,7,10] => [1,2,3,3,4]
[13,1,5,2,12,9,8,3,4,11,6,7,10] => [1,2,2,1,1,3,3]
[13,1,12,2,6,7,9,3,11,4,5,8,10] => [1,2,4,2,4]
[11,1,5,2,12,7,13,9,3,4,6,8,10] => [1,2,2,2,1,5]
[13,1,4,11,2,3,9,5,10,6,12,7,8] => [1,3,3,2,2,2]
[13,1,4,12,2,3,8,5,10,11,6,7,9] => [1,3,3,3,3]
[7,1,4,11,2,3,13,10,5,6,12,8,9] => [1,3,3,1,3,2]
[13,1,4,12,2,3,8,9,5,11,6,7,10] => [1,3,4,2,3]
[7,1,4,12,2,3,13,9,11,5,6,8,10] => [1,3,3,2,4]
[13,1,6,5,2,11,3,4,10,7,12,8,9] => [1,2,1,2,3,2,2]
[9,1,6,5,2,13,3,4,12,11,7,8,10] => [1,2,1,2,3,1,3]
[13,1,4,11,6,2,3,5,10,7,12,8,9] => [1,3,1,4,2,2]
[13,1,4,9,6,2,3,5,12,11,7,8,10] => [1,3,1,4,1,3]
[8,1,11,6,2,7,3,13,4,5,12,9,10] => [1,2,1,2,2,3,2]
[13,1,11,5,2,7,8,3,4,6,12,9,10] => [1,2,1,3,4,2]
[8,1,4,11,7,2,3,13,5,6,12,9,10] => [1,3,1,3,3,2]
[13,1,11,5,6,2,8,3,4,7,12,9,10] => [1,2,2,2,4,2]
[13,1,4,11,6,8,2,3,5,7,12,9,10] => [1,3,2,5,2]
[8,1,10,13,2,7,3,9,4,12,5,6,11] => [1,3,2,2,2,3]
[13,1,12,6,2,8,3,9,10,4,5,7,11] => [1,2,1,2,3,4]
[13,1,10,5,2,9,8,3,4,12,6,7,11] => [1,2,1,2,1,3,3]
[13,1,12,6,2,7,9,3,10,4,5,8,11] => [1,2,1,3,2,4]
[13,1,12,5,2,7,10,9,3,4,6,8,11] => [1,2,1,3,1,5]
[8,1,4,10,13,2,3,9,5,12,6,7,11] => [1,4,3,2,3]
[13,1,4,12,7,2,3,9,10,5,6,8,11] => [1,3,1,4,4]
[13,1,10,5,6,2,9,3,4,12,7,8,11] => [1,2,2,2,3,3]
[9,1,4,10,6,13,2,3,5,12,7,8,11] => [1,3,2,4,3]
[13,1,12,7,6,2,8,3,10,4,5,9,11] => [1,2,1,1,2,2,4]
[13,1,12,5,7,2,8,10,3,4,6,9,11] => [1,2,2,3,5]
[13,1,4,12,8,7,2,3,10,5,6,9,11] => [1,3,1,1,3,4]
[13,1,12,5,6,8,2,10,3,4,7,9,11] => [1,2,3,2,5]
[10,1,4,13,6,12,8,2,3,5,7,9,11] => [1,3,2,1,6]
[13,3,1,2,11,4,9,5,10,6,12,7,8] => [1,1,3,2,2,2,2]
[13,3,1,2,12,4,8,5,10,11,6,7,9] => [1,1,3,2,3,3]
[11,3,1,2,7,4,13,10,5,6,12,8,9] => [1,1,3,2,1,3,2]
[13,3,1,2,12,4,8,9,5,11,6,7,10] => [1,1,3,3,2,3]
[12,3,1,2,7,4,13,9,11,5,6,8,10] => [1,1,3,2,2,4]
[13,3,1,2,6,11,4,5,10,7,12,8,9] => [1,1,4,3,2,2]
[9,3,1,2,6,13,4,5,12,11,7,8,10] => [1,1,4,3,1,3]
[11,3,1,2,8,7,4,13,5,6,12,9,10] => [1,1,3,1,2,3,2]
[13,3,1,2,6,11,8,4,5,7,12,9,10] => [1,1,4,1,4,2]
[10,3,1,2,13,8,4,9,5,12,6,7,11] => [1,1,3,1,2,2,3]
[13,3,1,2,12,7,4,9,10,5,6,8,11] => [1,1,3,1,3,4]
[10,3,1,2,6,13,9,4,5,12,7,8,11] => [1,1,4,1,3,3]
[13,3,1,2,12,7,8,4,10,5,6,9,11] => [1,1,3,2,2,4]
[13,3,1,2,6,12,8,10,4,5,7,9,11] => [1,1,4,2,5]
[11,4,1,5,2,3,13,6,10,7,12,8,9] => [1,1,2,3,2,2,2]
[13,4,1,5,2,3,9,6,12,11,7,8,10] => [1,1,2,3,2,1,3]
[11,4,1,5,2,3,8,13,6,7,12,9,10] => [1,1,2,4,3,2]
[13,4,1,5,2,3,10,9,6,12,7,8,11] => [1,1,2,3,1,2,3]
[12,4,1,5,2,3,8,13,10,6,7,9,11] => [1,1,2,4,1,4]
[11,3,5,1,2,4,13,6,10,7,12,8,9] => [1,2,4,2,2,2]
[13,3,5,1,2,4,9,6,12,11,7,8,10] => [1,2,4,2,1,3]
[11,3,5,1,2,4,8,13,6,7,12,9,10] => [1,2,5,3,2]
[13,3,5,1,2,4,10,9,6,12,7,8,11] => [1,2,4,1,2,3]
[12,3,5,1,2,4,8,13,10,6,7,9,11] => [1,2,5,1,4]
[6,13,1,5,2,7,3,4,11,8,12,9,10] => [2,2,2,3,2,2]
[6,13,1,5,2,7,3,4,10,12,8,9,11] => [2,2,2,4,3]
[13,4,1,7,6,2,3,5,11,8,12,9,10] => [1,1,2,1,4,2,2]
[13,4,1,7,6,2,3,5,10,12,8,9,11] => [1,1,2,1,5,3]
[6,3,13,1,2,7,4,5,11,8,12,9,10] => [1,2,3,3,2,2]
[6,3,13,1,2,7,4,5,10,12,8,9,11] => [1,2,3,4,3]
[13,5,4,1,7,2,3,6,11,8,12,9,10] => [1,1,1,2,4,2,2]
[13,5,4,1,7,2,3,6,10,12,8,9,11] => [1,1,1,2,5,3]
[7,3,13,5,1,2,4,6,11,8,12,9,10] => [1,2,1,5,2,2]
[7,3,13,5,1,2,4,6,10,12,8,9,11] => [1,2,1,6,3]
[13,8,1,6,2,7,3,9,4,5,12,10,11] => [1,1,2,2,2,3,2]
[13,9,1,5,2,7,8,3,4,6,12,10,11] => [1,1,2,3,4,2]
[8,4,1,13,7,2,3,9,5,6,12,10,11] => [1,1,2,1,3,3,2]
[13,9,1,5,6,2,8,3,4,7,12,10,11] => [1,1,3,2,4,2]
[9,4,1,13,6,8,2,3,5,7,12,10,11] => [1,1,2,2,5,2]
[13,3,8,1,2,7,4,9,5,6,12,10,11] => [1,2,3,2,3,2]
[6,3,13,1,2,9,8,4,5,7,12,10,11] => [1,2,3,1,4,2]
[8,5,4,1,13,2,3,9,6,7,12,10,11] => [1,1,1,2,3,3,2]
[13,3,8,5,1,2,4,9,6,7,12,10,11] => [1,2,1,4,3,2]
[7,13,5,1,6,2,9,3,4,8,12,10,11] => [2,1,2,2,4,2]
[13,9,4,1,6,7,2,3,5,8,12,10,11] => [1,1,1,3,5,2]
[7,3,13,6,1,2,9,4,5,8,12,10,11] => [1,2,1,3,4,2]
[13,9,4,5,1,7,2,3,6,8,12,10,11] => [1,1,2,2,5,2]
[13,3,9,5,7,1,2,4,6,8,12,10,11] => [1,2,2,6,2]
[10,8,1,13,2,7,3,9,4,11,5,6,12] => [1,1,2,2,2,2,3]
[13,11,1,6,2,8,3,9,10,4,5,7,12] => [1,1,2,2,3,4]
[13,10,1,5,2,9,8,3,4,11,6,7,12] => [1,1,2,2,1,3,3]
[13,11,1,6,2,7,9,3,10,4,5,8,12] => [1,1,2,3,2,4]
[13,11,1,5,2,7,10,9,3,4,6,8,12] => [1,1,2,3,1,5]
[8,4,1,10,13,2,3,9,5,11,6,7,12] => [1,1,3,3,2,3]
[13,4,1,11,7,2,3,9,10,5,6,8,12] => [1,1,2,1,4,4]
[13,10,1,5,6,2,9,3,4,11,7,8,12] => [1,1,3,2,3,3]
[9,4,1,10,6,13,2,3,5,11,7,8,12] => [1,1,2,2,4,3]
[13,11,1,7,6,2,8,3,10,4,5,9,12] => [1,1,2,1,2,2,4]
[13,11,1,5,7,2,8,10,3,4,6,9,12] => [1,1,3,3,5]
[13,4,1,11,8,7,2,3,10,5,6,9,12] => [1,1,2,1,1,3,4]
[13,11,1,5,6,8,2,10,3,4,7,9,12] => [1,1,4,2,5]
[10,4,1,11,6,13,8,2,3,5,7,9,12] => [1,1,2,2,1,6]
[13,3,10,1,2,8,4,9,5,11,6,7,12] => [1,2,3,2,2,3]
[13,3,11,1,2,7,4,9,10,5,6,8,12] => [1,2,3,3,4]
[6,3,10,1,2,13,9,4,5,11,7,8,12] => [1,2,3,1,3,3]
[13,3,11,1,2,7,8,4,10,5,6,9,12] => [1,2,4,2,4]
[6,3,11,1,2,13,8,10,4,5,7,9,12] => [1,2,3,2,5]
[13,5,4,1,10,2,3,9,6,11,7,8,12] => [1,1,1,2,3,2,3]
[8,5,4,1,13,2,3,11,10,6,7,9,12] => [1,1,1,2,3,1,4]
[13,3,10,5,1,2,4,9,6,11,7,8,12] => [1,2,1,4,2,3]
[13,3,8,5,1,2,4,11,10,6,7,9,12] => [1,2,1,4,1,4]
[7,10,5,1,6,2,13,3,4,11,8,9,12] => [2,1,2,2,3,3]
[13,10,4,1,6,7,2,3,5,11,8,9,12] => [1,1,1,3,4,3]
[7,3,10,6,1,2,13,4,5,11,8,9,12] => [1,2,1,3,3,3]
[13,10,4,5,1,7,2,3,6,11,8,9,12] => [1,1,2,2,4,3]
[13,3,10,5,7,1,2,4,6,11,8,9,12] => [1,2,2,5,3]
[7,9,13,1,6,2,8,3,11,4,5,10,12] => [3,2,2,2,4]
[13,11,5,1,7,2,8,9,3,4,6,10,12] => [1,1,1,2,3,5]
[13,9,4,1,8,7,2,3,11,5,6,10,12] => [1,1,1,2,1,3,4]
[13,11,5,1,6,8,2,9,3,4,7,10,12] => [1,1,1,3,2,5]
[13,11,4,1,6,9,8,2,3,5,7,10,12] => [1,1,1,3,1,6]
[7,3,9,13,1,2,8,4,11,5,6,10,12] => [1,3,3,2,4]
[13,3,11,6,1,2,8,9,4,5,7,10,12] => [1,2,1,4,5]
[13,9,4,5,1,8,2,3,11,6,7,10,12] => [1,1,2,2,3,4]
[8,3,9,5,13,1,2,4,11,6,7,10,12] => [1,2,2,4,4]
[13,11,6,5,1,7,2,9,3,4,8,10,12] => [1,1,1,1,2,2,5]
[13,11,4,6,1,7,9,2,3,5,8,10,12] => [1,1,2,3,6]
[13,3,11,7,6,1,2,9,4,5,8,10,12] => [1,2,1,1,3,5]
[13,11,4,5,7,1,9,2,3,6,8,10,12] => [1,1,3,2,6]
[9,3,13,5,11,7,1,2,4,6,8,10,12] => [1,2,2,1,7]
[13,11,12,9,10,5,6,7,8,1,2,3,4] => [1,2,2,4,4]
[13,11,12,9,10,6,7,8,1,2,3,4,5] => [1,2,2,3,5]
[13,12,9,10,11,5,6,7,8,1,2,3,4] => [1,1,3,4,4]
[13,12,9,10,11,6,7,8,1,2,3,4,5] => [1,1,3,3,5]
[13,12,10,11,6,7,8,9,1,2,3,4,5] => [1,1,2,4,5]
[12,13,9,10,11,6,7,8,1,2,3,4,5] => [2,3,3,5]
[12,13,10,11,6,7,8,9,1,2,3,4,5] => [2,2,4,5]
[14,3,2,5,4,7,6,9,8,11,10,13,12,1] => [1,1,2,2,2,2,2,1,1]
[14,3,2,5,4,7,6,9,8,13,12,11,10,1] => [1,1,2,2,2,2,1,1,1,1]
[14,3,2,5,4,7,6,11,10,9,8,13,12,1] => [1,1,2,2,2,1,1,2,1,1]
[14,3,2,5,4,7,6,13,10,9,12,11,8,1] => [1,1,2,2,2,1,2,1,1,1]
[14,3,2,5,4,7,6,13,12,11,10,9,8,1] => [1,1,2,2,2,1,1,1,1,1,1]
[14,3,2,5,4,9,8,7,6,11,10,13,12,1] => [1,1,2,2,1,1,2,2,1,1]
[14,3,2,5,4,9,8,7,6,13,12,11,10,1] => [1,1,2,2,1,1,2,1,1,1,1]
[14,3,2,5,4,11,8,7,10,9,6,13,12,1] => [1,1,2,2,1,2,1,2,1,1]
[14,3,2,5,4,13,8,7,10,9,12,11,6,1] => [1,1,2,2,1,2,2,1,1,1]
[14,3,2,5,4,13,8,7,12,11,10,9,6,1] => [1,1,2,2,1,2,1,1,1,1,1]
[14,3,2,5,4,11,10,9,8,7,6,13,12,1] => [1,1,2,2,1,1,1,1,2,1,1]
[14,3,2,5,4,13,10,9,8,7,12,11,6,1] => [1,1,2,2,1,1,1,2,1,1,1]
[14,3,2,5,4,13,12,9,8,11,10,7,6,1] => [1,1,2,2,1,1,2,1,1,1,1]
[14,3,2,5,4,13,12,11,10,9,8,7,6,1] => [1,1,2,2,1,1,1,1,1,1,1,1]
[14,3,2,7,6,5,4,9,8,11,10,13,12,1] => [1,1,2,1,1,2,2,2,1,1]
[14,3,2,7,6,5,4,9,8,13,12,11,10,1] => [1,1,2,1,1,2,2,1,1,1,1]
[14,3,2,7,6,5,4,11,10,9,8,13,12,1] => [1,1,2,1,1,2,1,1,2,1,1]
[14,3,2,7,6,5,4,13,10,9,12,11,8,1] => [1,1,2,1,1,2,1,2,1,1,1]
[14,3,2,7,6,5,4,13,12,11,10,9,8,1] => [1,1,2,1,1,2,1,1,1,1,1,1]
[14,3,2,9,6,5,8,7,4,11,10,13,12,1] => [1,1,2,1,2,1,2,2,1,1]
[14,3,2,9,6,5,8,7,4,13,12,11,10,1] => [1,1,2,1,2,1,2,1,1,1,1]
[14,3,2,11,6,5,8,7,10,9,4,13,12,1] => [1,1,2,1,2,2,1,2,1,1]
[14,3,2,13,6,5,8,7,10,9,12,11,4,1] => [1,1,2,1,2,2,2,1,1,1]
[14,3,2,13,6,5,8,7,12,11,10,9,4,1] => [1,1,2,1,2,2,1,1,1,1,1]
[14,3,2,11,6,5,10,9,8,7,4,13,12,1] => [1,1,2,1,2,1,1,1,2,1,1]
[14,3,2,13,6,5,10,9,8,7,12,11,4,1] => [1,1,2,1,2,1,1,2,1,1,1]
[14,3,2,13,6,5,12,9,8,11,10,7,4,1] => [1,1,2,1,2,1,2,1,1,1,1]
[14,3,2,13,6,5,12,11,10,9,8,7,4,1] => [1,1,2,1,2,1,1,1,1,1,1,1]
[14,3,2,9,8,7,6,5,4,11,10,13,12,1] => [1,1,2,1,1,1,1,2,2,1,1]
[14,3,2,9,8,7,6,5,4,13,12,11,10,1] => [1,1,2,1,1,1,1,2,1,1,1,1]
[14,3,2,11,8,7,6,5,10,9,4,13,12,1] => [1,1,2,1,1,1,2,1,2,1,1]
[14,3,2,13,8,7,6,5,10,9,12,11,4,1] => [1,1,2,1,1,1,2,2,1,1,1]
[14,3,2,13,8,7,6,5,12,11,10,9,4,1] => [1,1,2,1,1,1,2,1,1,1,1,1]
[14,3,2,11,10,7,6,9,8,5,4,13,12,1] => [1,1,2,1,1,2,1,1,2,1,1]
[14,3,2,13,10,7,6,9,8,5,12,11,4,1] => [1,1,2,1,1,2,1,2,1,1,1]
[14,3,2,13,12,7,6,9,8,11,10,5,4,1] => [1,1,2,1,1,2,2,1,1,1,1]
[14,3,2,13,12,7,6,11,10,9,8,5,4,1] => [1,1,2,1,1,2,1,1,1,1,1,1]
[14,3,2,11,10,9,8,7,6,5,4,13,12,1] => [1,1,2,1,1,1,1,1,1,2,1,1]
[14,3,2,13,10,9,8,7,6,5,12,11,4,1] => [1,1,2,1,1,1,1,1,2,1,1,1]
[14,3,2,13,12,9,8,7,6,11,10,5,4,1] => [1,1,2,1,1,1,1,2,1,1,1,1]
[14,3,2,13,12,11,8,7,10,9,6,5,4,1] => [1,1,2,1,1,1,2,1,1,1,1,1]
[14,3,2,13,12,11,10,9,8,7,6,5,4,1] => [1,1,2,1,1,1,1,1,1,1,1,1,1]
[14,5,4,3,2,7,6,9,8,11,10,13,12,1] => [1,1,1,1,2,2,2,2,1,1]
[14,5,4,3,2,7,6,9,8,13,12,11,10,1] => [1,1,1,1,2,2,2,1,1,1,1]
[14,5,4,3,2,7,6,11,10,9,8,13,12,1] => [1,1,1,1,2,2,1,1,2,1,1]
[14,5,4,3,2,7,6,13,10,9,12,11,8,1] => [1,1,1,1,2,2,1,2,1,1,1]
[14,5,4,3,2,7,6,13,12,11,10,9,8,1] => [1,1,1,1,2,2,1,1,1,1,1,1]
[14,5,4,3,2,9,8,7,6,11,10,13,12,1] => [1,1,1,1,2,1,1,2,2,1,1]
[14,5,4,3,2,9,8,7,6,13,12,11,10,1] => [1,1,1,1,2,1,1,2,1,1,1,1]
[14,5,4,3,2,11,8,7,10,9,6,13,12,1] => [1,1,1,1,2,1,2,1,2,1,1]
[14,5,4,3,2,13,8,7,10,9,12,11,6,1] => [1,1,1,1,2,1,2,2,1,1,1]
[14,5,4,3,2,13,8,7,12,11,10,9,6,1] => [1,1,1,1,2,1,2,1,1,1,1,1]
[14,5,4,3,2,11,10,9,8,7,6,13,12,1] => [1,1,1,1,2,1,1,1,1,2,1,1]
[14,5,4,3,2,13,10,9,8,7,12,11,6,1] => [1,1,1,1,2,1,1,1,2,1,1,1]
[14,5,4,3,2,13,12,9,8,11,10,7,6,1] => [1,1,1,1,2,1,1,2,1,1,1,1]
[14,5,4,3,2,13,12,11,10,9,8,7,6,1] => [1,1,1,1,2,1,1,1,1,1,1,1,1]
[14,7,4,3,6,5,2,9,8,11,10,13,12,1] => [1,1,1,2,1,2,2,2,1,1]
[14,7,4,3,6,5,2,9,8,13,12,11,10,1] => [1,1,1,2,1,2,2,1,1,1,1]
[14,7,4,3,6,5,2,11,10,9,8,13,12,1] => [1,1,1,2,1,2,1,1,2,1,1]
[14,7,4,3,6,5,2,13,10,9,12,11,8,1] => [1,1,1,2,1,2,1,2,1,1,1]
[14,7,4,3,6,5,2,13,12,11,10,9,8,1] => [1,1,1,2,1,2,1,1,1,1,1,1]
[14,9,4,3,6,5,8,7,2,11,10,13,12,1] => [1,1,1,2,2,1,2,2,1,1]
[14,9,4,3,6,5,8,7,2,13,12,11,10,1] => [1,1,1,2,2,1,2,1,1,1,1]
[14,11,4,3,6,5,8,7,10,9,2,13,12,1] => [1,1,1,2,2,2,1,2,1,1]
[14,13,4,3,6,5,8,7,10,9,12,11,2,1] => [1,1,1,2,2,2,2,1,1,1]
[14,13,4,3,6,5,8,7,12,11,10,9,2,1] => [1,1,1,2,2,2,1,1,1,1,1]
[14,11,4,3,6,5,10,9,8,7,2,13,12,1] => [1,1,1,2,2,1,1,1,2,1,1]
[14,13,4,3,6,5,10,9,8,7,12,11,2,1] => [1,1,1,2,2,1,1,2,1,1,1]
[14,13,4,3,6,5,12,9,8,11,10,7,2,1] => [1,1,1,2,2,1,2,1,1,1,1]
[14,13,4,3,6,5,12,11,10,9,8,7,2,1] => [1,1,1,2,2,1,1,1,1,1,1,1]
[14,9,4,3,8,7,6,5,2,11,10,13,12,1] => [1,1,1,2,1,1,1,2,2,1,1]
[14,9,4,3,8,7,6,5,2,13,12,11,10,1] => [1,1,1,2,1,1,1,2,1,1,1,1]
[14,11,4,3,8,7,6,5,10,9,2,13,12,1] => [1,1,1,2,1,1,2,1,2,1,1]
[14,13,4,3,8,7,6,5,10,9,12,11,2,1] => [1,1,1,2,1,1,2,2,1,1,1]
[14,13,4,3,8,7,6,5,12,11,10,9,2,1] => [1,1,1,2,1,1,2,1,1,1,1,1]
[14,11,4,3,10,7,6,9,8,5,2,13,12,1] => [1,1,1,2,1,2,1,1,2,1,1]
[14,13,4,3,10,7,6,9,8,5,12,11,2,1] => [1,1,1,2,1,2,1,2,1,1,1]
[14,13,4,3,12,7,6,9,8,11,10,5,2,1] => [1,1,1,2,1,2,2,1,1,1,1]
[14,13,4,3,12,7,6,11,10,9,8,5,2,1] => [1,1,1,2,1,2,1,1,1,1,1,1]
[14,11,4,3,10,9,8,7,6,5,2,13,12,1] => [1,1,1,2,1,1,1,1,1,2,1,1]
[14,13,4,3,10,9,8,7,6,5,12,11,2,1] => [1,1,1,2,1,1,1,1,2,1,1,1]
[14,13,4,3,12,9,8,7,6,11,10,5,2,1] => [1,1,1,2,1,1,1,2,1,1,1,1]
[14,13,4,3,12,11,8,7,10,9,6,5,2,1] => [1,1,1,2,1,1,2,1,1,1,1,1]
[14,13,4,3,12,11,10,9,8,7,6,5,2,1] => [1,1,1,2,1,1,1,1,1,1,1,1,1]
[14,7,6,5,4,3,2,9,8,11,10,13,12,1] => [1,1,1,1,1,1,2,2,2,1,1]
[14,7,6,5,4,3,2,9,8,13,12,11,10,1] => [1,1,1,1,1,1,2,2,1,1,1,1]
[14,7,6,5,4,3,2,11,10,9,8,13,12,1] => [1,1,1,1,1,1,2,1,1,2,1,1]
[14,7,6,5,4,3,2,13,10,9,12,11,8,1] => [1,1,1,1,1,1,2,1,2,1,1,1]
[14,7,6,5,4,3,2,13,12,11,10,9,8,1] => [1,1,1,1,1,1,2,1,1,1,1,1,1]
[14,9,6,5,4,3,8,7,2,11,10,13,12,1] => [1,1,1,1,1,2,1,2,2,1,1]
[14,9,6,5,4,3,8,7,2,13,12,11,10,1] => [1,1,1,1,1,2,1,2,1,1,1,1]
[14,11,6,5,4,3,8,7,10,9,2,13,12,1] => [1,1,1,1,1,2,2,1,2,1,1]
[14,13,6,5,4,3,8,7,10,9,12,11,2,1] => [1,1,1,1,1,2,2,2,1,1,1]
[14,13,6,5,4,3,8,7,12,11,10,9,2,1] => [1,1,1,1,1,2,2,1,1,1,1,1]
[14,11,6,5,4,3,10,9,8,7,2,13,12,1] => [1,1,1,1,1,2,1,1,1,2,1,1]
[14,13,6,5,4,3,10,9,8,7,12,11,2,1] => [1,1,1,1,1,2,1,1,2,1,1,1]
[14,13,6,5,4,3,12,9,8,11,10,7,2,1] => [1,1,1,1,1,2,1,2,1,1,1,1]
[14,13,6,5,4,3,12,11,10,9,8,7,2,1] => [1,1,1,1,1,2,1,1,1,1,1,1,1]
[14,9,8,5,4,7,6,3,2,11,10,13,12,1] => [1,1,1,1,2,1,1,2,2,1,1]
[14,9,8,5,4,7,6,3,2,13,12,11,10,1] => [1,1,1,1,2,1,1,2,1,1,1,1]
[14,11,8,5,4,7,6,3,10,9,2,13,12,1] => [1,1,1,1,2,1,2,1,2,1,1]
[14,13,8,5,4,7,6,3,10,9,12,11,2,1] => [1,1,1,1,2,1,2,2,1,1,1]
[14,13,8,5,4,7,6,3,12,11,10,9,2,1] => [1,1,1,1,2,1,2,1,1,1,1,1]
[14,11,10,5,4,7,6,9,8,3,2,13,12,1] => [1,1,1,1,2,2,1,1,2,1,1]
[14,13,10,5,4,7,6,9,8,3,12,11,2,1] => [1,1,1,1,2,2,1,2,1,1,1]
[14,13,12,5,4,7,6,9,8,11,10,3,2,1] => [1,1,1,1,2,2,2,1,1,1,1]
[14,13,12,5,4,7,6,11,10,9,8,3,2,1] => [1,1,1,1,2,2,1,1,1,1,1,1]
[14,11,10,5,4,9,8,7,6,3,2,13,12,1] => [1,1,1,1,2,1,1,1,1,2,1,1]
[14,13,10,5,4,9,8,7,6,3,12,11,2,1] => [1,1,1,1,2,1,1,1,2,1,1,1]
[14,13,12,5,4,9,8,7,6,11,10,3,2,1] => [1,1,1,1,2,1,1,2,1,1,1,1]
[14,13,12,5,4,11,8,7,10,9,6,3,2,1] => [1,1,1,1,2,1,2,1,1,1,1,1]
[14,13,12,5,4,11,10,9,8,7,6,3,2,1] => [1,1,1,1,2,1,1,1,1,1,1,1,1]
[14,9,8,7,6,5,4,3,2,11,10,13,12,1] => [1,1,1,1,1,1,1,1,2,2,1,1]
[14,9,8,7,6,5,4,3,2,13,12,11,10,1] => [1,1,1,1,1,1,1,1,2,1,1,1,1]
[14,11,8,7,6,5,4,3,10,9,2,13,12,1] => [1,1,1,1,1,1,1,2,1,2,1,1]
[14,13,8,7,6,5,4,3,10,9,12,11,2,1] => [1,1,1,1,1,1,1,2,2,1,1,1]
[14,13,8,7,6,5,4,3,12,11,10,9,2,1] => [1,1,1,1,1,1,1,2,1,1,1,1,1]
[14,11,10,7,6,5,4,9,8,3,2,13,12,1] => [1,1,1,1,1,1,2,1,1,2,1,1]
[14,13,10,7,6,5,4,9,8,3,12,11,2,1] => [1,1,1,1,1,1,2,1,2,1,1,1]
[14,13,12,7,6,5,4,9,8,11,10,3,2,1] => [1,1,1,1,1,1,2,2,1,1,1,1]
[14,13,12,7,6,5,4,11,10,9,8,3,2,1] => [1,1,1,1,1,1,2,1,1,1,1,1,1]
[14,11,10,9,6,5,8,7,4,3,2,13,12,1] => [1,1,1,1,1,2,1,1,1,2,1,1]
[14,13,10,9,6,5,8,7,4,3,12,11,2,1] => [1,1,1,1,1,2,1,1,2,1,1,1]
[14,13,12,9,6,5,8,7,4,11,10,3,2,1] => [1,1,1,1,1,2,1,2,1,1,1,1]
[14,13,12,11,6,5,8,7,10,9,4,3,2,1] => [1,1,1,1,1,2,2,1,1,1,1,1]
[14,13,12,11,6,5,10,9,8,7,4,3,2,1] => [1,1,1,1,1,2,1,1,1,1,1,1,1]
[14,11,10,9,8,7,6,5,4,3,2,13,12,1] => [1,1,1,1,1,1,1,1,1,1,2,1,1]
[14,13,10,9,8,7,6,5,4,3,12,11,2,1] => [1,1,1,1,1,1,1,1,1,2,1,1,1]
[14,13,12,9,8,7,6,5,4,11,10,3,2,1] => [1,1,1,1,1,1,1,1,2,1,1,1,1]
[14,13,12,11,8,7,6,5,10,9,4,3,2,1] => [1,1,1,1,1,1,1,2,1,1,1,1,1]
[14,13,12,11,10,7,6,9,8,5,4,3,2,1] => [1,1,1,1,1,1,2,1,1,1,1,1,1]
[14,13,12,11,10,9,8,7,6,5,4,3,2,1] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1]
[11,7,12,4,8,13,2,5,9,14,1,3,6,10] => [1,2,3,4,4]
[10,7,11,4,8,12,2,5,9,1,3,6,13,14] => [1,2,3,3,5]
[10,6,11,4,7,2,5,12,13,1,3,8,9,14] => [1,2,2,4,5]
[10,6,3,11,12,2,7,8,13,1,4,5,9,14] => [1,1,3,4,5]
[10,11,6,7,12,3,4,8,13,1,2,5,9,14] => [2,3,4,5]
[12,11,10,9,8,7,6,5,4,3,2,1,14,13] => [1,1,1,1,1,1,1,1,1,1,1,2,1]
[2,1,14,13,12,11,10,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1,1,1,1,1]
[12,11,10,9,6,5,8,7,4,3,2,1,14,13] => [1,1,1,1,1,2,1,1,1,1,2,1]
[2,1,14,13,12,11,8,7,10,9,6,5,4,3] => [1,2,1,1,1,1,2,1,1,1,1,1]
[12,11,10,7,6,5,4,9,8,3,2,1,14,13] => [1,1,1,1,1,1,2,1,1,1,2,1]
[12,11,10,5,4,9,8,7,6,3,2,1,14,13] => [1,1,1,1,2,1,1,1,1,1,2,1]
[2,1,14,13,12,9,8,7,6,11,10,5,4,3] => [1,2,1,1,1,1,1,2,1,1,1,1]
[2,1,14,13,12,7,6,11,10,9,8,5,4,3] => [1,2,1,1,1,2,1,1,1,1,1,1]
[12,11,8,7,6,5,4,3,10,9,2,1,14,13] => [1,1,1,1,1,1,1,2,1,1,2,1]
[12,11,10,5,4,7,6,9,8,3,2,1,14,13] => [1,1,1,1,2,2,1,1,1,2,1]
[12,11,4,3,10,9,8,7,6,5,2,1,14,13] => [1,1,1,2,1,1,1,1,1,1,2,1]
[2,1,14,13,10,9,8,7,6,5,12,11,4,3] => [1,2,1,1,1,1,1,1,2,1,1,1]
[2,1,14,13,12,7,6,9,8,11,10,5,4,3] => [1,2,1,1,1,2,2,1,1,1,1]
[2,1,14,13,6,5,12,11,10,9,8,7,4,3] => [1,2,1,1,2,1,1,1,1,1,1,1]
[12,9,8,7,6,5,4,3,2,11,10,1,14,13] => [1,1,1,1,1,1,1,1,2,1,2,1]
[12,11,8,5,4,7,6,3,10,9,2,1,14,13] => [1,1,1,1,2,1,2,1,1,2,1]
[12,11,6,5,4,3,10,9,8,7,2,1,14,13] => [1,1,1,1,1,2,1,1,1,1,2,1]
[12,11,4,3,10,7,6,9,8,5,2,1,14,13] => [1,1,1,2,1,2,1,1,1,2,1]
[12,3,2,11,10,9,8,7,6,5,4,1,14,13] => [1,1,2,1,1,1,1,1,1,1,2,1]
[10,9,8,7,6,5,4,3,2,1,14,13,12,11] => [1,1,1,1,1,1,1,1,1,2,1,1,1]
[2,1,14,11,10,9,8,7,6,5,4,13,12,3] => [1,2,1,1,1,1,1,1,1,2,1,1]
[2,1,14,13,10,7,6,9,8,5,12,11,4,3] => [1,2,1,1,1,2,1,2,1,1,1]
[2,1,14,13,8,7,6,5,12,11,10,9,4,3] => [1,2,1,1,1,1,2,1,1,1,1,1]
[2,1,14,13,6,5,12,9,8,11,10,7,4,3] => [1,2,1,1,2,1,2,1,1,1,1]
[4,3,2,1,14,13,12,11,10,9,8,7,6,5] => [1,1,1,2,1,1,1,1,1,1,1,1,1]
[2,1,14,5,4,13,12,11,10,9,8,7,6,3] => [1,2,1,2,1,1,1,1,1,1,1,1]
[13,14,10,11,12,6,7,8,9,1,2,3,4,5] => [2,3,4,5]
[14,12,13,9,10,11,5,6,7,8,1,2,3,4] => [1,2,3,4,4]
[3,5,2,7,4,9,6,11,8,13,10,14,12,1] => [2,2,2,2,2,2,1,1]
[3,5,2,7,4,9,6,12,8,13,14,11,10,1] => [2,2,2,2,3,1,1,1]
[3,5,2,7,4,10,6,11,13,9,8,14,12,1] => [2,2,2,3,1,2,1,1]
[3,5,2,7,4,10,6,12,13,9,14,11,8,1] => [2,2,2,3,2,1,1,1]
[3,5,2,7,4,11,6,12,13,14,10,9,8,1] => [2,2,2,4,1,1,1,1]
[3,5,2,8,4,9,11,7,6,13,10,14,12,1] => [2,2,3,1,2,2,1,1]
[3,5,2,8,4,9,12,7,6,13,14,11,10,1] => [2,2,3,1,3,1,1,1]
[3,5,2,8,4,10,11,7,13,9,6,14,12,1] => [2,2,3,2,1,2,1,1]
[3,5,2,8,4,10,12,7,13,9,14,11,6,1] => [2,2,3,2,2,1,1,1]
[3,5,2,8,4,11,12,7,13,14,10,9,6,1] => [2,2,3,3,1,1,1,1]
[3,5,2,9,4,10,11,13,8,7,6,14,12,1] => [2,2,4,1,1,2,1,1]
[3,5,2,9,4,10,12,13,8,7,14,11,6,1] => [2,2,4,1,2,1,1,1]
[3,5,2,9,4,11,12,13,8,14,10,7,6,1] => [2,2,4,2,1,1,1,1]
[3,5,2,10,4,11,12,13,14,9,8,7,6,1] => [2,2,5,1,1,1,1,1]
[3,6,2,7,9,5,4,11,8,13,10,14,12,1] => [2,3,1,2,2,2,1,1]
[3,6,2,7,9,5,4,12,8,13,14,11,10,1] => [2,3,1,2,3,1,1,1]
[3,6,2,7,10,5,4,11,13,9,8,14,12,1] => [2,3,1,3,1,2,1,1]
[3,6,2,7,10,5,4,12,13,9,14,11,8,1] => [2,3,1,3,2,1,1,1]
[3,6,2,7,11,5,4,12,13,14,10,9,8,1] => [2,3,1,4,1,1,1,1]
[3,6,2,8,9,5,11,7,4,13,10,14,12,1] => [2,3,2,1,2,2,1,1]
[3,6,2,8,9,5,12,7,4,13,14,11,10,1] => [2,3,2,1,3,1,1,1]
[3,6,2,8,10,5,11,7,13,9,4,14,12,1] => [2,3,2,2,1,2,1,1]
[3,6,2,8,10,5,12,7,13,9,14,11,4,1] => [2,3,2,2,2,1,1,1]
[3,6,2,8,11,5,12,7,13,14,10,9,4,1] => [2,3,2,3,1,1,1,1]
[3,6,2,9,10,5,11,13,8,7,4,14,12,1] => [2,3,3,1,1,2,1,1]
[3,6,2,9,10,5,12,13,8,7,14,11,4,1] => [2,3,3,1,2,1,1,1]
[3,6,2,9,11,5,12,13,8,14,10,7,4,1] => [2,3,3,2,1,1,1,1]
[3,6,2,10,11,5,12,13,14,9,8,7,4,1] => [2,3,4,1,1,1,1,1]
[3,7,2,8,9,11,6,5,4,13,10,14,12,1] => [2,4,1,1,2,2,1,1]
[3,7,2,8,9,12,6,5,4,13,14,11,10,1] => [2,4,1,1,3,1,1,1]
[3,7,2,8,10,11,6,5,13,9,4,14,12,1] => [2,4,1,2,1,2,1,1]
[3,7,2,8,10,12,6,5,13,9,14,11,4,1] => [2,4,1,2,2,1,1,1]
[3,7,2,8,11,12,6,5,13,14,10,9,4,1] => [2,4,1,3,1,1,1,1]
[3,7,2,9,10,11,6,13,8,5,4,14,12,1] => [2,4,2,1,1,2,1,1]
[3,7,2,9,10,12,6,13,8,5,14,11,4,1] => [2,4,2,1,2,1,1,1]
[3,7,2,9,11,12,6,13,8,14,10,5,4,1] => [2,4,2,2,1,1,1,1]
[3,7,2,10,11,12,6,13,14,9,8,5,4,1] => [2,4,3,1,1,1,1,1]
[3,8,2,9,10,11,13,7,6,5,4,14,12,1] => [2,5,1,1,1,2,1,1]
[3,8,2,9,10,12,13,7,6,5,14,11,4,1] => [2,5,1,1,2,1,1,1]
[3,8,2,9,11,12,13,7,6,14,10,5,4,1] => [2,5,1,2,1,1,1,1]
[3,8,2,10,11,12,13,7,14,9,6,5,4,1] => [2,5,2,1,1,1,1,1]
[3,9,2,10,11,12,13,14,8,7,6,5,4,1] => [2,6,1,1,1,1,1,1]
[4,5,7,3,2,9,6,11,8,13,10,14,12,1] => [3,1,2,2,2,2,1,1]
[4,5,7,3,2,9,6,12,8,13,14,11,10,1] => [3,1,2,2,3,1,1,1]
[4,5,7,3,2,10,6,11,13,9,8,14,12,1] => [3,1,2,3,1,2,1,1]
[4,5,7,3,2,10,6,12,13,9,14,11,8,1] => [3,1,2,3,2,1,1,1]
[4,5,7,3,2,11,6,12,13,14,10,9,8,1] => [3,1,2,4,1,1,1,1]
[4,5,8,3,2,9,11,7,6,13,10,14,12,1] => [3,1,3,1,2,2,1,1]
[4,5,8,3,2,9,12,7,6,13,14,11,10,1] => [3,1,3,1,3,1,1,1]
[4,5,8,3,2,10,11,7,13,9,6,14,12,1] => [3,1,3,2,1,2,1,1]
[4,5,8,3,2,10,12,7,13,9,14,11,6,1] => [3,1,3,2,2,1,1,1]
[4,5,8,3,2,11,12,7,13,14,10,9,6,1] => [3,1,3,3,1,1,1,1]
[4,5,9,3,2,10,11,13,8,7,6,14,12,1] => [3,1,4,1,1,2,1,1]
[4,5,9,3,2,10,12,13,8,7,14,11,6,1] => [3,1,4,1,2,1,1,1]
[4,5,9,3,2,11,12,13,8,14,10,7,6,1] => [3,1,4,2,1,1,1,1]
[4,5,10,3,2,11,12,13,14,9,8,7,6,1] => [3,1,5,1,1,1,1,1]
[4,6,7,3,9,5,2,11,8,13,10,14,12,1] => [3,2,1,2,2,2,1,1]
[4,6,7,3,9,5,2,12,8,13,14,11,10,1] => [3,2,1,2,3,1,1,1]
[4,6,7,3,10,5,2,11,13,9,8,14,12,1] => [3,2,1,3,1,2,1,1]
[4,6,7,3,10,5,2,12,13,9,14,11,8,1] => [3,2,1,3,2,1,1,1]
[4,6,7,3,11,5,2,12,13,14,10,9,8,1] => [3,2,1,4,1,1,1,1]
[4,6,8,3,9,5,11,7,2,13,10,14,12,1] => [3,2,2,1,2,2,1,1]
[4,6,8,3,9,5,12,7,2,13,14,11,10,1] => [3,2,2,1,3,1,1,1]
[4,6,8,3,10,5,11,7,13,9,2,14,12,1] => [3,2,2,2,1,2,1,1]
[4,6,8,3,10,5,12,7,13,9,14,11,2,1] => [3,2,2,2,2,1,1,1]
[4,6,8,3,11,5,12,7,13,14,10,9,2,1] => [3,2,2,3,1,1,1,1]
[4,6,9,3,10,5,11,13,8,7,2,14,12,1] => [3,2,3,1,1,2,1,1]
[4,6,9,3,10,5,12,13,8,7,14,11,2,1] => [3,2,3,1,2,1,1,1]
[4,6,9,3,11,5,12,13,8,14,10,7,2,1] => [3,2,3,2,1,1,1,1]
[4,6,10,3,11,5,12,13,14,9,8,7,2,1] => [3,2,4,1,1,1,1,1]
[4,7,8,3,9,11,6,5,2,13,10,14,12,1] => [3,3,1,1,2,2,1,1]
[4,7,8,3,9,12,6,5,2,13,14,11,10,1] => [3,3,1,1,3,1,1,1]
[4,7,8,3,10,11,6,5,13,9,2,14,12,1] => [3,3,1,2,1,2,1,1]
[4,7,8,3,10,12,6,5,13,9,14,11,2,1] => [3,3,1,2,2,1,1,1]
[4,7,8,3,11,12,6,5,13,14,10,9,2,1] => [3,3,1,3,1,1,1,1]
[4,7,9,3,10,11,6,13,8,5,2,14,12,1] => [3,3,2,1,1,2,1,1]
[4,7,9,3,10,12,6,13,8,5,14,11,2,1] => [3,3,2,1,2,1,1,1]
[4,7,9,3,11,12,6,13,8,14,10,5,2,1] => [3,3,2,2,1,1,1,1]
[4,7,10,3,11,12,6,13,14,9,8,5,2,1] => [3,3,3,1,1,1,1,1]
[4,8,9,3,10,11,13,7,6,5,2,14,12,1] => [3,4,1,1,1,2,1,1]
[4,8,9,3,10,12,13,7,6,5,14,11,2,1] => [3,4,1,1,2,1,1,1]
[4,8,9,3,11,12,13,7,6,14,10,5,2,1] => [3,4,1,2,1,1,1,1]
[4,8,10,3,11,12,13,7,14,9,6,5,2,1] => [3,4,2,1,1,1,1,1]
[4,9,10,3,11,12,13,14,8,7,6,5,2,1] => [3,5,1,1,1,1,1,1]
[5,6,7,9,4,3,2,11,8,13,10,14,12,1] => [4,1,1,2,2,2,1,1]
[5,6,7,9,4,3,2,12,8,13,14,11,10,1] => [4,1,1,2,3,1,1,1]
[5,6,7,10,4,3,2,11,13,9,8,14,12,1] => [4,1,1,3,1,2,1,1]
[5,6,7,10,4,3,2,12,13,9,14,11,8,1] => [4,1,1,3,2,1,1,1]
[5,6,7,11,4,3,2,12,13,14,10,9,8,1] => [4,1,1,4,1,1,1,1]
[5,6,8,9,4,3,11,7,2,13,10,14,12,1] => [4,1,2,1,2,2,1,1]
[5,6,8,9,4,3,12,7,2,13,14,11,10,1] => [4,1,2,1,3,1,1,1]
[5,6,8,10,4,3,11,7,13,9,2,14,12,1] => [4,1,2,2,1,2,1,1]
[5,6,8,10,4,3,12,7,13,9,14,11,2,1] => [4,1,2,2,2,1,1,1]
[5,6,8,11,4,3,12,7,13,14,10,9,2,1] => [4,1,2,3,1,1,1,1]
[5,6,9,10,4,3,11,13,8,7,2,14,12,1] => [4,1,3,1,1,2,1,1]
[5,6,9,10,4,3,12,13,8,7,14,11,2,1] => [4,1,3,1,2,1,1,1]
[5,6,9,11,4,3,12,13,8,14,10,7,2,1] => [4,1,3,2,1,1,1,1]
[5,6,10,11,4,3,12,13,14,9,8,7,2,1] => [4,1,4,1,1,1,1,1]
[5,7,8,9,4,11,6,3,2,13,10,14,12,1] => [4,2,1,1,2,2,1,1]
[5,7,8,9,4,12,6,3,2,13,14,11,10,1] => [4,2,1,1,3,1,1,1]
[5,7,8,10,4,11,6,3,13,9,2,14,12,1] => [4,2,1,2,1,2,1,1]
[5,7,8,10,4,12,6,3,13,9,14,11,2,1] => [4,2,1,2,2,1,1,1]
[5,7,8,11,4,12,6,3,13,14,10,9,2,1] => [4,2,1,3,1,1,1,1]
[5,7,9,10,4,11,6,13,8,3,2,14,12,1] => [4,2,2,1,1,2,1,1]
[5,7,9,10,4,12,6,13,8,3,14,11,2,1] => [4,2,2,1,2,1,1,1]
[5,7,9,11,4,12,6,13,8,14,10,3,2,1] => [4,2,2,2,1,1,1,1]
[5,7,10,11,4,12,6,13,14,9,8,3,2,1] => [4,2,3,1,1,1,1,1]
[5,8,9,10,4,11,13,7,6,3,2,14,12,1] => [4,3,1,1,1,2,1,1]
[5,8,9,10,4,12,13,7,6,3,14,11,2,1] => [4,3,1,1,2,1,1,1]
[5,8,9,11,4,12,13,7,6,14,10,3,2,1] => [4,3,1,2,1,1,1,1]
[5,8,10,11,4,12,13,7,14,9,6,3,2,1] => [4,3,2,1,1,1,1,1]
[5,9,10,11,4,12,13,14,8,7,6,3,2,1] => [4,4,1,1,1,1,1,1]
[6,7,8,9,11,5,4,3,2,13,10,14,12,1] => [5,1,1,1,2,2,1,1]
[6,7,8,9,12,5,4,3,2,13,14,11,10,1] => [5,1,1,1,3,1,1,1]
[6,7,8,10,11,5,4,3,13,9,2,14,12,1] => [5,1,1,2,1,2,1,1]
[6,7,8,10,12,5,4,3,13,9,14,11,2,1] => [5,1,1,2,2,1,1,1]
[6,7,8,11,12,5,4,3,13,14,10,9,2,1] => [5,1,1,3,1,1,1,1]
[6,7,9,10,11,5,4,13,8,3,2,14,12,1] => [5,1,2,1,1,2,1,1]
[6,7,9,10,12,5,4,13,8,3,14,11,2,1] => [5,1,2,1,2,1,1,1]
[6,7,9,11,12,5,4,13,8,14,10,3,2,1] => [5,1,2,2,1,1,1,1]
[6,7,10,11,12,5,4,13,14,9,8,3,2,1] => [5,1,3,1,1,1,1,1]
[6,8,9,10,11,5,13,7,4,3,2,14,12,1] => [5,2,1,1,1,2,1,1]
[6,8,9,10,12,5,13,7,4,3,14,11,2,1] => [5,2,1,1,2,1,1,1]
[6,8,9,11,12,5,13,7,4,14,10,3,2,1] => [5,2,1,2,1,1,1,1]
[6,8,10,11,12,5,13,7,14,9,4,3,2,1] => [5,2,2,1,1,1,1,1]
[6,9,10,11,12,5,13,14,8,7,4,3,2,1] => [5,3,1,1,1,1,1,1]
[7,8,9,10,11,13,6,5,4,3,2,14,12,1] => [6,1,1,1,1,2,1,1]
[7,8,9,10,12,13,6,5,4,3,14,11,2,1] => [6,1,1,1,2,1,1,1]
[7,8,9,11,12,13,6,5,4,14,10,3,2,1] => [6,1,1,2,1,1,1,1]
[7,8,10,11,12,13,6,5,14,9,4,3,2,1] => [6,1,2,1,1,1,1,1]
[7,9,10,11,12,13,6,14,8,5,4,3,2,1] => [6,2,1,1,1,1,1,1]
[8,9,10,11,12,13,14,7,6,5,4,3,2,1] => [7,1,1,1,1,1,1,1]
[7,8,9,10,11,12,6,5,4,3,2,1,14,13] => [6,1,1,1,1,1,2,1]
[2,1,9,10,11,12,13,14,8,7,6,5,4,3] => [1,7,1,1,1,1,1,1]
[6,8,9,10,11,5,12,7,4,3,2,1,14,13] => [5,2,1,1,1,1,2,1]
[2,1,8,10,11,12,13,7,14,9,6,5,4,3] => [1,6,2,1,1,1,1,1]
[6,7,9,10,11,5,4,12,8,3,2,1,14,13] => [5,1,2,1,1,1,2,1]
[5,8,9,10,4,11,12,7,6,3,2,1,14,13] => [4,3,1,1,1,1,2,1]
[2,1,8,9,11,12,13,7,6,14,10,5,4,3] => [1,6,1,2,1,1,1,1]
[2,1,7,10,11,12,6,13,14,9,8,5,4,3] => [1,5,3,1,1,1,1,1]
[6,7,8,10,11,5,4,3,12,9,2,1,14,13] => [5,1,1,2,1,1,2,1]
[5,7,9,10,4,11,6,12,8,3,2,1,14,13] => [4,2,2,1,1,1,2,1]
[4,8,9,3,10,11,12,7,6,5,2,1,14,13] => [3,4,1,1,1,1,2,1]
[2,1,8,9,10,12,13,7,6,5,14,11,4,3] => [1,6,1,1,2,1,1,1]
[2,1,7,9,11,12,6,13,8,14,10,5,4,3] => [1,5,2,2,1,1,1,1]
[2,1,6,10,11,5,12,13,14,9,8,7,4,3] => [1,4,4,1,1,1,1,1]
[6,7,8,9,11,5,4,3,2,12,10,1,14,13] => [5,1,1,1,2,1,2,1]
[5,7,8,10,4,11,6,3,12,9,2,1,14,13] => [4,2,1,2,1,1,2,1]
[5,6,9,10,4,3,11,12,8,7,2,1,14,13] => [4,1,3,1,1,1,2,1]
[4,7,9,3,10,11,6,12,8,5,2,1,14,13] => [3,3,2,1,1,1,2,1]
[3,8,2,9,10,11,12,7,6,5,4,1,14,13] => [2,5,1,1,1,1,2,1]
[6,7,8,9,10,5,4,3,2,1,13,14,12,11] => [5,1,1,1,1,3,1,1]
[2,1,8,9,10,11,13,7,6,5,4,14,12,3] => [1,6,1,1,1,2,1,1]
[2,1,7,9,10,12,6,13,8,5,14,11,4,3] => [1,5,2,1,2,1,1,1]
[2,1,7,8,11,12,6,5,13,14,10,9,4,3] => [1,5,1,3,1,1,1,1]
[2,1,6,9,11,5,12,13,8,14,10,7,4,3] => [1,4,3,2,1,1,1,1]
[3,4,2,1,10,11,12,13,14,9,8,7,6,5] => [2,1,6,1,1,1,1,1]
[2,1,5,10,4,11,12,13,14,9,8,7,6,3] => [1,3,5,1,1,1,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13] => [1,2,2,2,2,2,2,1]
[2,1,4,3,6,5,8,7,10,9,14,13,12,11] => [1,2,2,2,2,2,1,1,1]
[2,1,4,3,6,5,8,7,14,11,10,13,12,9] => [1,2,2,2,2,1,2,1,1]
[2,1,4,3,6,5,14,9,8,11,10,13,12,7] => [1,2,2,2,1,2,2,1,1]
[2,1,4,3,14,7,6,9,8,11,10,13,12,5] => [1,2,2,1,2,2,2,1,1]
[2,1,14,5,4,7,6,9,8,11,10,13,12,3] => [1,2,1,2,2,2,2,1,1]
[2,1,4,3,6,5,8,7,14,13,12,11,10,9] => [1,2,2,2,2,1,1,1,1,1]
[2,1,4,3,6,5,14,11,10,9,8,13,12,7] => [1,2,2,2,1,1,1,2,1,1]
[2,1,4,3,14,9,8,7,6,11,10,13,12,5] => [1,2,2,1,1,1,2,2,1,1]
[2,1,14,7,6,5,4,9,8,11,10,13,12,3] => [1,2,1,1,1,2,2,2,1,1]
[2,1,4,3,6,5,14,13,10,9,12,11,8,7] => [1,2,2,2,1,1,2,1,1,1]
[2,1,4,3,14,11,8,7,10,9,6,13,12,5] => [1,2,2,1,1,2,1,2,1,1]
[2,1,4,3,6,5,14,13,12,11,10,9,8,7] => [1,2,2,2,1,1,1,1,1,1,1]
[2,1,14,9,6,5,8,7,4,11,10,13,12,3] => [1,2,1,1,2,1,2,2,1,1]
[2,1,4,3,14,11,10,9,8,7,6,13,12,5] => [1,2,2,1,1,1,1,1,2,1,1]
[2,1,14,9,8,7,6,5,4,11,10,13,12,3] => [1,2,1,1,1,1,1,2,2,1,1]
[2,1,4,3,14,13,8,7,10,9,12,11,6,5] => [1,2,2,1,1,2,2,1,1,1]
[2,1,14,11,6,5,8,7,10,9,4,13,12,3] => [1,2,1,1,2,2,1,2,1,1]
[2,1,4,3,14,13,8,7,12,11,10,9,6,5] => [1,2,2,1,1,2,1,1,1,1,1]
[2,1,14,11,6,5,10,9,8,7,4,13,12,3] => [1,2,1,1,2,1,1,1,2,1,1]
[2,1,4,3,14,13,12,9,8,11,10,7,6,5] => [1,2,2,1,1,1,2,1,1,1,1]
[2,1,14,11,10,7,6,9,8,5,4,13,12,3] => [1,2,1,1,1,2,1,1,2,1,1]
[14,12,13,9,10,11,6,7,8,1,2,3,4,5] => [1,2,3,3,5]
[14,12,13,10,11,6,7,8,9,1,2,3,4,5] => [1,2,2,4,5]
[14,13,10,11,12,6,7,8,9,1,2,3,4,5] => [1,1,3,4,5]
[2,1,4,3,6,5,8,7,10,9,13,14,12,11] => [1,2,2,2,2,3,1,1]
[2,1,4,3,6,5,8,7,11,13,10,14,12,9] => [1,2,2,2,3,2,1,1]
[2,1,4,3,6,5,9,11,8,13,10,14,12,7] => [1,2,2,3,2,2,1,1]
[2,1,4,3,7,9,6,11,8,13,10,14,12,5] => [1,2,3,2,2,2,1,1]
[2,1,5,7,4,9,6,11,8,13,10,14,12,3] => [1,3,2,2,2,2,1,1]
[2,1,4,3,6,5,8,7,12,13,14,11,10,9] => [1,2,2,2,4,1,1,1]
[2,1,4,3,6,5,10,11,13,9,8,14,12,7] => [1,2,2,4,1,2,1,1]
[2,1,4,3,8,9,11,7,6,13,10,14,12,5] => [1,2,4,1,2,2,1,1]
[2,1,6,7,9,5,4,11,8,13,10,14,12,3] => [1,4,1,2,2,2,1,1]
[2,1,4,3,6,5,10,12,13,9,14,11,8,7] => [1,2,2,4,2,1,1,1]
[2,1,4,3,8,10,11,7,13,9,6,14,12,5] => [1,2,4,2,1,2,1,1]
[2,1,4,3,6,5,11,12,13,14,10,9,8,7] => [1,2,2,5,1,1,1,1]
[2,1,6,8,9,5,11,7,4,13,10,14,12,3] => [1,4,2,1,2,2,1,1]
[2,1,4,3,9,10,11,13,8,7,6,14,12,5] => [1,2,5,1,1,2,1,1]
[2,1,7,8,9,11,6,5,4,13,10,14,12,3] => [1,5,1,1,2,2,1,1]
[2,1,4,3,8,10,12,7,13,9,14,11,6,5] => [1,2,4,2,2,1,1,1]
[2,1,6,8,10,5,11,7,13,9,4,14,12,3] => [1,4,2,2,1,2,1,1]
[2,1,4,3,8,11,12,7,13,14,10,9,6,5] => [1,2,4,3,1,1,1,1]
[2,1,6,9,10,5,11,13,8,7,4,14,12,3] => [1,4,3,1,1,2,1,1]
[2,1,4,3,9,11,12,13,8,14,10,7,6,5] => [1,2,5,2,1,1,1,1]
[2,1,7,9,10,11,6,13,8,5,4,14,12,3] => [1,5,2,1,1,2,1,1]
[11,7,12,4,8,13,2,5,9,14,1,3,6,10,15] => [1,2,3,4,5]
[15,13,14,10,11,12,6,7,8,9,1,2,3,4,5] => [1,2,3,4,5]
[14,13,12,11,10,9,8,7,6,5,4,3,2,1,16,15] => [1,1,1,1,1,1,1,1,1,1,1,1,1,2,1]
[2,1,16,15,14,13,12,11,10,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1,1,1,1,1,1,1]
[14,13,12,11,10,7,6,9,8,5,4,3,2,1,16,15] => [1,1,1,1,1,1,2,1,1,1,1,1,2,1]
[2,1,16,15,14,13,12,9,8,11,10,7,6,5,4,3] => [1,2,1,1,1,1,1,2,1,1,1,1,1,1]
[14,13,12,11,8,7,6,5,10,9,4,3,2,1,16,15] => [1,1,1,1,1,1,1,2,1,1,1,1,2,1]
[14,13,12,11,6,5,10,9,8,7,4,3,2,1,16,15] => [1,1,1,1,1,2,1,1,1,1,1,1,2,1]
[2,1,16,15,14,13,10,9,8,7,12,11,6,5,4,3] => [1,2,1,1,1,1,1,1,2,1,1,1,1,1]
[2,1,16,15,14,13,8,7,12,11,10,9,6,5,4,3] => [1,2,1,1,1,1,2,1,1,1,1,1,1,1]
[14,13,12,9,8,7,6,5,4,11,10,3,2,1,16,15] => [1,1,1,1,1,1,1,1,2,1,1,1,2,1]
[14,13,12,11,6,5,8,7,10,9,4,3,2,1,16,15] => [1,1,1,1,1,2,2,1,1,1,1,2,1]
[14,13,12,5,4,11,10,9,8,7,6,3,2,1,16,15] => [1,1,1,1,2,1,1,1,1,1,1,1,2,1]
[2,1,16,15,14,11,10,9,8,7,6,13,12,5,4,3] => [1,2,1,1,1,1,1,1,1,2,1,1,1,1]
[2,1,16,15,14,13,8,7,10,9,12,11,6,5,4,3] => [1,2,1,1,1,1,2,2,1,1,1,1,1]
[2,1,16,15,14,7,6,13,12,11,10,9,8,5,4,3] => [1,2,1,1,1,2,1,1,1,1,1,1,1,1]
[8,9,10,11,12,13,14,7,6,5,4,3,2,1,16,15] => [7,1,1,1,1,1,1,2,1]
[2,1,10,11,12,13,14,15,16,9,8,7,6,5,4,3] => [1,8,1,1,1,1,1,1,1]
[7,9,10,11,12,13,6,14,8,5,4,3,2,1,16,15] => [6,2,1,1,1,1,1,2,1]
[2,1,9,11,12,13,14,15,8,16,10,7,6,5,4,3] => [1,7,2,1,1,1,1,1,1]
[7,8,10,11,12,13,6,5,14,9,4,3,2,1,16,15] => [6,1,2,1,1,1,1,2,1]
[6,9,10,11,12,5,13,14,8,7,4,3,2,1,16,15] => [5,3,1,1,1,1,1,2,1]
[2,1,9,10,12,13,14,15,8,7,16,11,6,5,4,3] => [1,7,1,2,1,1,1,1,1]
[2,1,8,11,12,13,14,7,15,16,10,9,6,5,4,3] => [1,6,3,1,1,1,1,1,1]
[7,8,9,11,12,13,6,5,4,14,10,3,2,1,16,15] => [6,1,1,2,1,1,1,2,1]
[6,8,10,11,12,5,13,7,14,9,4,3,2,1,16,15] => [5,2,2,1,1,1,1,2,1]
[5,9,10,11,4,12,13,14,8,7,6,3,2,1,16,15] => [4,4,1,1,1,1,1,2,1]
[2,1,9,10,11,13,14,15,8,7,6,16,12,5,4,3] => [1,7,1,1,2,1,1,1,1]
[2,1,8,10,12,13,14,7,15,9,16,11,6,5,4,3] => [1,6,2,2,1,1,1,1,1]
[2,1,7,11,12,13,6,14,15,16,10,9,8,5,4,3] => [1,5,4,1,1,1,1,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15] => [1,2,2,2,2,2,2,2,1]
[2,1,4,3,6,5,8,7,10,9,12,11,16,15,14,13] => [1,2,2,2,2,2,2,1,1,1]
[2,1,4,3,6,5,8,7,10,9,16,13,12,15,14,11] => [1,2,2,2,2,2,1,2,1,1]
[2,1,4,3,6,5,8,7,16,11,10,13,12,15,14,9] => [1,2,2,2,2,1,2,2,1,1]
[2,1,4,3,6,5,16,9,8,11,10,13,12,15,14,7] => [1,2,2,2,1,2,2,2,1,1]
[2,1,4,3,16,7,6,9,8,11,10,13,12,15,14,5] => [1,2,2,1,2,2,2,2,1,1]
[2,1,16,5,4,7,6,9,8,11,10,13,12,15,14,3] => [1,2,1,2,2,2,2,2,1,1]
[16,3,2,5,4,7,6,9,8,11,10,13,12,15,14,1] => [1,1,2,2,2,2,2,2,1,1]
[2,1,4,3,6,5,8,7,10,9,16,15,14,13,12,11] => [1,2,2,2,2,2,1,1,1,1,1]
[2,1,4,3,6,5,8,7,16,13,12,11,10,15,14,9] => [1,2,2,2,2,1,1,1,2,1,1]
[2,1,4,3,6,5,16,11,10,9,8,13,12,15,14,7] => [1,2,2,2,1,1,1,2,2,1,1]
[2,1,4,3,16,9,8,7,6,11,10,13,12,15,14,5] => [1,2,2,1,1,1,2,2,2,1,1]
[2,1,16,7,6,5,4,9,8,11,10,13,12,15,14,3] => [1,2,1,1,1,2,2,2,2,1,1]
[16,5,4,3,2,7,6,9,8,11,10,13,12,15,14,1] => [1,1,1,1,2,2,2,2,2,1,1]
[2,1,4,3,6,5,8,7,16,15,12,11,14,13,10,9] => [1,2,2,2,2,1,1,2,1,1,1]
[2,1,4,3,6,5,16,13,10,9,12,11,8,15,14,7] => [1,2,2,2,1,1,2,1,2,1,1]
[2,1,4,3,6,5,8,7,16,15,14,13,12,11,10,9] => [1,2,2,2,2,1,1,1,1,1,1,1]
[2,1,4,3,16,11,8,7,10,9,6,13,12,15,14,5] => [1,2,2,1,1,2,1,2,2,1,1]
[2,1,4,3,6,5,16,13,12,11,10,9,8,15,14,7] => [1,2,2,2,1,1,1,1,1,2,1,1]
[2,1,16,9,6,5,8,7,4,11,10,13,12,15,14,3] => [1,2,1,1,2,1,2,2,2,1,1]
[2,1,4,3,16,11,10,9,8,7,6,13,12,15,14,5] => [1,2,2,1,1,1,1,1,2,2,1,1]
[16,7,4,3,6,5,2,9,8,11,10,13,12,15,14,1] => [1,1,1,2,1,2,2,2,2,1,1]
[2,1,16,9,8,7,6,5,4,11,10,13,12,15,14,3] => [1,2,1,1,1,1,1,2,2,2,1,1]
[16,7,6,5,4,3,2,9,8,11,10,13,12,15,14,1] => [1,1,1,1,1,1,2,2,2,2,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,15,16,14,13] => [1,2,2,2,2,2,3,1,1]
[2,1,4,3,6,5,8,7,10,9,13,15,12,16,14,11] => [1,2,2,2,2,3,2,1,1]
[2,1,4,3,6,5,8,7,11,13,10,15,12,16,14,9] => [1,2,2,2,3,2,2,1,1]
[2,1,4,3,6,5,9,11,8,13,10,15,12,16,14,7] => [1,2,2,3,2,2,2,1,1]
[2,1,4,3,7,9,6,11,8,13,10,15,12,16,14,5] => [1,2,3,2,2,2,2,1,1]
[2,1,5,7,4,9,6,11,8,13,10,15,12,16,14,3] => [1,3,2,2,2,2,2,1,1]
[3,5,2,7,4,9,6,11,8,13,10,15,12,16,14,1] => [2,2,2,2,2,2,2,1,1]
[2,1,4,3,6,5,8,7,10,9,14,15,16,13,12,11] => [1,2,2,2,2,4,1,1,1]
[2,1,4,3,6,5,8,7,12,13,15,11,10,16,14,9] => [1,2,2,2,4,1,2,1,1]
[2,1,4,3,6,5,10,11,13,9,8,15,12,16,14,7] => [1,2,2,4,1,2,2,1,1]
[2,1,4,3,8,9,11,7,6,13,10,15,12,16,14,5] => [1,2,4,1,2,2,2,1,1]
[2,1,6,7,9,5,4,11,8,13,10,15,12,16,14,3] => [1,4,1,2,2,2,2,1,1]
[4,5,7,3,2,9,6,11,8,13,10,15,12,16,14,1] => [3,1,2,2,2,2,2,1,1]
[2,1,4,3,6,5,8,7,12,14,15,11,16,13,10,9] => [1,2,2,2,4,2,1,1,1]
[2,1,4,3,6,5,10,12,13,9,15,11,8,16,14,7] => [1,2,2,4,2,1,2,1,1]
[2,1,4,3,6,5,8,7,13,14,15,16,12,11,10,9] => [1,2,2,2,5,1,1,1,1]
[2,1,4,3,8,10,11,7,13,9,6,15,12,16,14,5] => [1,2,4,2,1,2,2,1,1]
[2,1,4,3,6,5,11,12,13,15,10,9,8,16,14,7] => [1,2,2,5,1,1,2,1,1]
[2,1,6,8,9,5,11,7,4,13,10,15,12,16,14,3] => [1,4,2,1,2,2,2,1,1]
[2,1,4,3,9,10,11,13,8,7,6,15,12,16,14,5] => [1,2,5,1,1,2,2,1,1]
[4,6,7,3,9,5,2,11,8,13,10,15,12,16,14,1] => [3,2,1,2,2,2,2,1,1]
[2,1,7,8,9,11,6,5,4,13,10,15,12,16,14,3] => [1,5,1,1,2,2,2,1,1]
[5,6,7,9,4,3,2,11,8,13,10,15,12,16,14,1] => [4,1,1,2,2,2,2,1,1]
[16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,18,17] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1]
[2,1,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
[16,15,14,13,12,11,8,7,10,9,6,5,4,3,2,1,18,17] => [1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1]
[2,1,18,17,16,15,14,13,10,9,12,11,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1]
[16,15,14,13,12,9,8,7,6,11,10,5,4,3,2,1,18,17] => [1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1]
[16,15,14,13,12,7,6,11,10,9,8,5,4,3,2,1,18,17] => [1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1]
[2,1,18,17,16,15,14,11,10,9,8,13,12,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1]
[2,1,18,17,16,15,14,9,8,13,12,11,10,7,6,5,4,3] => [1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1]
[9,10,11,12,13,14,15,16,8,7,6,5,4,3,2,1,18,17] => [8,1,1,1,1,1,1,1,2,1]
[2,1,11,12,13,14,15,16,17,18,10,9,8,7,6,5,4,3] => [1,9,1,1,1,1,1,1,1,1]
[8,10,11,12,13,14,15,7,16,9,6,5,4,3,2,1,18,17] => [7,2,1,1,1,1,1,1,2,1]
[2,1,10,12,13,14,15,16,17,9,18,11,8,7,6,5,4,3] => [1,8,2,1,1,1,1,1,1,1]
[8,9,11,12,13,14,15,7,6,16,10,5,4,3,2,1,18,17] => [7,1,2,1,1,1,1,1,2,1]
[7,10,11,12,13,14,6,15,16,9,8,5,4,3,2,1,18,17] => [6,3,1,1,1,1,1,1,2,1]
[2,1,10,11,13,14,15,16,17,9,8,18,12,7,6,5,4,3] => [1,8,1,2,1,1,1,1,1,1]
[2,1,9,12,13,14,15,16,8,17,18,11,10,7,6,5,4,3] => [1,7,3,1,1,1,1,1,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17] => [1,2,2,2,2,2,2,2,2,1]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,18,17,16,15] => [1,2,2,2,2,2,2,2,1,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,18,15,14,17,16,13] => [1,2,2,2,2,2,2,1,2,1,1]
[2,1,4,3,6,5,8,7,10,9,18,13,12,15,14,17,16,11] => [1,2,2,2,2,2,1,2,2,1,1]
[2,1,4,3,6,5,8,7,18,11,10,13,12,15,14,17,16,9] => [1,2,2,2,2,1,2,2,2,1,1]
[2,1,4,3,6,5,18,9,8,11,10,13,12,15,14,17,16,7] => [1,2,2,2,1,2,2,2,2,1,1]
[2,1,4,3,18,7,6,9,8,11,10,13,12,15,14,17,16,5] => [1,2,2,1,2,2,2,2,2,1,1]
[2,1,18,5,4,7,6,9,8,11,10,13,12,15,14,17,16,3] => [1,2,1,2,2,2,2,2,2,1,1]
[18,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,1] => [1,1,2,2,2,2,2,2,2,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,18,17,16,15,14,13] => [1,2,2,2,2,2,2,1,1,1,1,1]
[2,1,4,3,6,5,8,7,10,9,18,15,14,13,12,17,16,11] => [1,2,2,2,2,2,1,1,1,2,1,1]
[2,1,4,3,6,5,8,7,18,13,12,11,10,15,14,17,16,9] => [1,2,2,2,2,1,1,1,2,2,1,1]
[2,1,4,3,6,5,18,11,10,9,8,13,12,15,14,17,16,7] => [1,2,2,2,1,1,1,2,2,2,1,1]
[2,1,4,3,18,9,8,7,6,11,10,13,12,15,14,17,16,5] => [1,2,2,1,1,1,2,2,2,2,1,1]
[2,1,18,7,6,5,4,9,8,11,10,13,12,15,14,17,16,3] => [1,2,1,1,1,2,2,2,2,2,1,1]
[18,5,4,3,2,7,6,9,8,11,10,13,12,15,14,17,16,1] => [1,1,1,1,2,2,2,2,2,2,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,18,16,15] => [1,2,2,2,2,2,2,3,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,15,17,14,18,16,13] => [1,2,2,2,2,2,3,2,1,1]
[2,1,4,3,6,5,8,7,10,9,13,15,12,17,14,18,16,11] => [1,2,2,2,2,3,2,2,1,1]
[2,1,4,3,6,5,8,7,11,13,10,15,12,17,14,18,16,9] => [1,2,2,2,3,2,2,2,1,1]
[2,1,4,3,6,5,9,11,8,13,10,15,12,17,14,18,16,7] => [1,2,2,3,2,2,2,2,1,1]
[2,1,4,3,7,9,6,11,8,13,10,15,12,17,14,18,16,5] => [1,2,3,2,2,2,2,2,1,1]
[2,1,5,7,4,9,6,11,8,13,10,15,12,17,14,18,16,3] => [1,3,2,2,2,2,2,2,1,1]
[3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,18,16,1] => [2,2,2,2,2,2,2,2,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,16,17,18,15,14,13] => [1,2,2,2,2,2,4,1,1,1]
[2,1,4,3,6,5,8,7,10,9,14,15,17,13,12,18,16,11] => [1,2,2,2,2,4,1,2,1,1]
[2,1,4,3,6,5,8,7,12,13,15,11,10,17,14,18,16,9] => [1,2,2,2,4,1,2,2,1,1]
[2,1,4,3,6,5,10,11,13,9,8,15,12,17,14,18,16,7] => [1,2,2,4,1,2,2,2,1,1]
[2,1,4,3,8,9,11,7,6,13,10,15,12,17,14,18,16,5] => [1,2,4,1,2,2,2,2,1,1]
[2,1,6,7,9,5,4,11,8,13,10,15,12,17,14,18,16,3] => [1,4,1,2,2,2,2,2,1,1]
[4,5,7,3,2,9,6,11,8,13,10,15,12,17,14,18,16,1] => [3,1,2,2,2,2,2,2,1,1]
[18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,20,19] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1]
[2,1,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
[18,17,16,15,14,13,12,9,8,11,10,7,6,5,4,3,2,1,20,19] => [1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1]
[2,1,20,19,18,17,16,15,14,11,10,13,12,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1]
[10,11,12,13,14,15,16,17,18,9,8,7,6,5,4,3,2,1,20,19] => [9,1,1,1,1,1,1,1,1,2,1]
[2,1,12,13,14,15,16,17,18,19,20,11,10,9,8,7,6,5,4,3] => [1,10,1,1,1,1,1,1,1,1,1]
[9,11,12,13,14,15,16,17,8,18,10,7,6,5,4,3,2,1,20,19] => [8,2,1,1,1,1,1,1,1,2,1]
[2,1,11,13,14,15,16,17,18,19,10,20,12,9,8,7,6,5,4,3] => [1,9,2,1,1,1,1,1,1,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,18,17,20,19] => [1,2,2,2,2,2,2,2,2,2,1]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,20,19,18,17] => [1,2,2,2,2,2,2,2,2,1,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,20,17,16,19,18,15] => [1,2,2,2,2,2,2,2,1,2,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,20,15,14,17,16,19,18,13] => [1,2,2,2,2,2,2,1,2,2,1,1]
[2,1,4,3,6,5,8,7,10,9,20,13,12,15,14,17,16,19,18,11] => [1,2,2,2,2,2,1,2,2,2,1,1]
[2,1,4,3,6,5,8,7,20,11,10,13,12,15,14,17,16,19,18,9] => [1,2,2,2,2,1,2,2,2,2,1,1]
[2,1,4,3,6,5,20,9,8,11,10,13,12,15,14,17,16,19,18,7] => [1,2,2,2,1,2,2,2,2,2,1,1]
[2,1,4,3,20,7,6,9,8,11,10,13,12,15,14,17,16,19,18,5] => [1,2,2,1,2,2,2,2,2,2,1,1]
[2,1,20,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18,3] => [1,2,1,2,2,2,2,2,2,2,1,1]
[20,3,2,5,4,7,6,9,8,11,10,13,12,15,14,17,16,19,18,1] => [1,1,2,2,2,2,2,2,2,2,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,16,15,19,20,18,17] => [1,2,2,2,2,2,2,2,3,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,14,13,17,19,16,20,18,15] => [1,2,2,2,2,2,2,3,2,1,1]
[2,1,4,3,6,5,8,7,10,9,12,11,15,17,14,19,16,20,18,13] => [1,2,2,2,2,2,3,2,2,1,1]
[2,1,4,3,6,5,8,7,10,9,13,15,12,17,14,19,16,20,18,11] => [1,2,2,2,2,3,2,2,2,1,1]
[2,1,4,3,6,5,8,7,11,13,10,15,12,17,14,19,16,20,18,9] => [1,2,2,2,3,2,2,2,2,1,1]
[2,1,4,3,6,5,9,11,8,13,10,15,12,17,14,19,16,20,18,7] => [1,2,2,3,2,2,2,2,2,1,1]
[2,1,4,3,7,9,6,11,8,13,10,15,12,17,14,19,16,20,18,5] => [1,2,3,2,2,2,2,2,2,1,1]
[2,1,5,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18,3] => [1,3,2,2,2,2,2,2,2,1,1]
[3,5,2,7,4,9,6,11,8,13,10,15,12,17,14,19,16,20,18,1] => [2,2,2,2,2,2,2,2,2,1,1]
[20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,22,21] => [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1]
[2,1,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3] => [1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
[11,12,13,14,15,16,17,18,19,20,10,9,8,7,6,5,4,3,2,1,22,21] => [10,1,1,1,1,1,1,1,1,1,2,1]
[2,1,13,14,15,16,17,18,19,20,21,22,12,11,10,9,8,7,6,5,4,3] => [1,11,1,1,1,1,1,1,1,1,1,1]
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The descent composition of a permutation.
The descent composition of a permutation π of length n is the integer composition of n whose descent set equals the descent set of π. The descent set of a permutation π is {i1i<n,π(i)>π(i+1)}. The descent set of a composition c=(i1,i2,,ik) is the set {i1,i1+i2,i1+i2+i3,,i1+i2++ik1}.
Properties
surjective, graded
Sage code
def mapping(elt):
    return elt.descents_composition()
Weight
21
Created
Jan 26, 2020 at 12:32 by FindStatCrew
Updated
Jan 26, 2020 at 12:32 by Martin Rubey