[6,3,2] => [3,2] => [2] => [[2],[]] => 0
[6,3,1,1] => [3,1,1] => [1,1] => [[1,1],[]] => 0
[6,2,2,1] => [2,2,1] => [2,1] => [[2,1],[]] => 0
[6,2,1,1,1] => [2,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[6,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[5,5,1] => [5,1] => [1] => [[1],[]] => 0
[5,4,2] => [4,2] => [2] => [[2],[]] => 0
[5,4,1,1] => [4,1,1] => [1,1] => [[1,1],[]] => 0
[5,3,3] => [3,3] => [3] => [[3],[]] => 0
[5,3,2,1] => [3,2,1] => [2,1] => [[2,1],[]] => 0
[5,3,1,1,1] => [3,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[5,2,2,2] => [2,2,2] => [2,2] => [[2,2],[]] => 0
[5,2,2,1,1] => [2,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[5,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[5,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[4,4,3] => [4,3] => [3] => [[3],[]] => 0
[4,4,2,1] => [4,2,1] => [2,1] => [[2,1],[]] => 0
[4,4,1,1,1] => [4,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[4,3,3,1] => [3,3,1] => [3,1] => [[3,1],[]] => 0
[4,3,2,2] => [3,2,2] => [2,2] => [[2,2],[]] => 0
[4,3,2,1,1] => [3,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[4,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[4,2,2,2,1] => [2,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[4,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[4,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[3,3,3,2] => [3,3,2] => [3,2] => [[3,2],[]] => 0
[3,3,3,1,1] => [3,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[3,3,2,2,1] => [3,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[3,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[3,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[10,1,1] => [1,1] => [1] => [[1],[]] => 0
[9,2,1] => [2,1] => [1] => [[1],[]] => 0
[9,1,1,1] => [1,1,1] => [1,1] => [[1,1],[]] => 0
[8,3,1] => [3,1] => [1] => [[1],[]] => 0
[8,2,2] => [2,2] => [2] => [[2],[]] => 0
[8,2,1,1] => [2,1,1] => [1,1] => [[1,1],[]] => 0
[8,1,1,1,1] => [1,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[7,4,1] => [4,1] => [1] => [[1],[]] => 0
[7,3,2] => [3,2] => [2] => [[2],[]] => 0
[7,3,1,1] => [3,1,1] => [1,1] => [[1,1],[]] => 0
[7,2,2,1] => [2,2,1] => [2,1] => [[2,1],[]] => 0
[7,2,1,1,1] => [2,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[7,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[6,5,1] => [5,1] => [1] => [[1],[]] => 0
[6,4,2] => [4,2] => [2] => [[2],[]] => 0
[6,4,1,1] => [4,1,1] => [1,1] => [[1,1],[]] => 0
[6,3,3] => [3,3] => [3] => [[3],[]] => 0
[6,3,2,1] => [3,2,1] => [2,1] => [[2,1],[]] => 0
[6,3,1,1,1] => [3,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[6,2,2,2] => [2,2,2] => [2,2] => [[2,2],[]] => 0
[6,2,2,1,1] => [2,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[6,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[6,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[5,5,2] => [5,2] => [2] => [[2],[]] => 0
[5,5,1,1] => [5,1,1] => [1,1] => [[1,1],[]] => 0
[5,4,3] => [4,3] => [3] => [[3],[]] => 0
[5,4,2,1] => [4,2,1] => [2,1] => [[2,1],[]] => 0
[5,4,1,1,1] => [4,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[5,3,3,1] => [3,3,1] => [3,1] => [[3,1],[]] => 0
[5,3,2,2] => [3,2,2] => [2,2] => [[2,2],[]] => 0
[5,3,2,1,1] => [3,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[5,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[5,2,2,2,1] => [2,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[5,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[5,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[4,4,4] => [4,4] => [4] => [[4],[]] => 0
[4,4,3,1] => [4,3,1] => [3,1] => [[3,1],[]] => 0
[4,4,2,2] => [4,2,2] => [2,2] => [[2,2],[]] => 0
[4,4,2,1,1] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[4,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[4,3,3,2] => [3,3,2] => [3,2] => [[3,2],[]] => 0
[4,3,3,1,1] => [3,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[4,3,2,2,1] => [3,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[4,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[4,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[11,1,1] => [1,1] => [1] => [[1],[]] => 0
[10,2,1] => [2,1] => [1] => [[1],[]] => 0
[10,1,1,1] => [1,1,1] => [1,1] => [[1,1],[]] => 0
[9,3,1] => [3,1] => [1] => [[1],[]] => 0
[9,2,2] => [2,2] => [2] => [[2],[]] => 0
[9,2,1,1] => [2,1,1] => [1,1] => [[1,1],[]] => 0
[9,1,1,1,1] => [1,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[8,4,1] => [4,1] => [1] => [[1],[]] => 0
[8,3,2] => [3,2] => [2] => [[2],[]] => 0
[8,3,1,1] => [3,1,1] => [1,1] => [[1,1],[]] => 0
[8,2,2,1] => [2,2,1] => [2,1] => [[2,1],[]] => 0
[8,2,1,1,1] => [2,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[8,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[7,5,1] => [5,1] => [1] => [[1],[]] => 0
[7,4,2] => [4,2] => [2] => [[2],[]] => 0
[7,4,1,1] => [4,1,1] => [1,1] => [[1,1],[]] => 0
[7,3,3] => [3,3] => [3] => [[3],[]] => 0
[7,3,2,1] => [3,2,1] => [2,1] => [[2,1],[]] => 0
[7,3,1,1,1] => [3,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[7,2,2,2] => [2,2,2] => [2,2] => [[2,2],[]] => 0
[7,2,2,1,1] => [2,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[7,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[7,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[6,6,1] => [6,1] => [1] => [[1],[]] => 0
[6,5,2] => [5,2] => [2] => [[2],[]] => 0
[6,5,1,1] => [5,1,1] => [1,1] => [[1,1],[]] => 0
[6,4,3] => [4,3] => [3] => [[3],[]] => 0
[6,4,2,1] => [4,2,1] => [2,1] => [[2,1],[]] => 0
[6,4,1,1,1] => [4,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[6,3,3,1] => [3,3,1] => [3,1] => [[3,1],[]] => 0
[6,3,2,2] => [3,2,2] => [2,2] => [[2,2],[]] => 0
[6,3,2,1,1] => [3,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[6,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[6,2,2,2,1] => [2,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[6,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[6,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[5,5,3] => [5,3] => [3] => [[3],[]] => 0
[5,5,2,1] => [5,2,1] => [2,1] => [[2,1],[]] => 0
[5,5,1,1,1] => [5,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[5,4,4] => [4,4] => [4] => [[4],[]] => 0
[5,4,3,1] => [4,3,1] => [3,1] => [[3,1],[]] => 0
[5,4,2,2] => [4,2,2] => [2,2] => [[2,2],[]] => 0
[5,4,2,1,1] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[5,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[5,3,3,2] => [3,3,2] => [3,2] => [[3,2],[]] => 0
[5,3,3,1,1] => [3,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[5,3,2,2,1] => [3,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[5,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[5,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[4,4,4,1] => [4,4,1] => [4,1] => [[4,1],[]] => 0
[4,4,3,2] => [4,3,2] => [3,2] => [[3,2],[]] => 0
[4,4,3,1,1] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[4,4,2,2,1] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[4,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[4,4,1,1,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[12,1,1] => [1,1] => [1] => [[1],[]] => 0
[11,2,1] => [2,1] => [1] => [[1],[]] => 0
[11,1,1,1] => [1,1,1] => [1,1] => [[1,1],[]] => 0
[10,3,1] => [3,1] => [1] => [[1],[]] => 0
[10,2,2] => [2,2] => [2] => [[2],[]] => 0
[10,2,1,1] => [2,1,1] => [1,1] => [[1,1],[]] => 0
[10,1,1,1,1] => [1,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[9,4,1] => [4,1] => [1] => [[1],[]] => 0
[9,3,2] => [3,2] => [2] => [[2],[]] => 0
[9,3,1,1] => [3,1,1] => [1,1] => [[1,1],[]] => 0
[9,2,2,1] => [2,2,1] => [2,1] => [[2,1],[]] => 0
[9,2,1,1,1] => [2,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[9,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[8,5,1] => [5,1] => [1] => [[1],[]] => 0
[8,4,2] => [4,2] => [2] => [[2],[]] => 0
[8,4,1,1] => [4,1,1] => [1,1] => [[1,1],[]] => 0
[8,3,3] => [3,3] => [3] => [[3],[]] => 0
[8,3,2,1] => [3,2,1] => [2,1] => [[2,1],[]] => 0
[8,3,1,1,1] => [3,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[8,2,2,2] => [2,2,2] => [2,2] => [[2,2],[]] => 0
[8,2,2,1,1] => [2,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[8,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[8,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[7,6,1] => [6,1] => [1] => [[1],[]] => 0
[7,5,2] => [5,2] => [2] => [[2],[]] => 0
[7,5,1,1] => [5,1,1] => [1,1] => [[1,1],[]] => 0
[7,4,3] => [4,3] => [3] => [[3],[]] => 0
[7,4,2,1] => [4,2,1] => [2,1] => [[2,1],[]] => 0
[7,4,1,1,1] => [4,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[7,3,3,1] => [3,3,1] => [3,1] => [[3,1],[]] => 0
[7,3,2,2] => [3,2,2] => [2,2] => [[2,2],[]] => 0
[7,3,2,1,1] => [3,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[7,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[7,2,2,2,1] => [2,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[7,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[7,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[6,6,2] => [6,2] => [2] => [[2],[]] => 0
[6,6,1,1] => [6,1,1] => [1,1] => [[1,1],[]] => 0
[6,5,3] => [5,3] => [3] => [[3],[]] => 0
[6,5,2,1] => [5,2,1] => [2,1] => [[2,1],[]] => 0
[6,5,1,1,1] => [5,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[6,4,4] => [4,4] => [4] => [[4],[]] => 0
[6,4,3,1] => [4,3,1] => [3,1] => [[3,1],[]] => 0
[6,4,2,2] => [4,2,2] => [2,2] => [[2,2],[]] => 0
[6,4,2,1,1] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[6,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[6,3,3,2] => [3,3,2] => [3,2] => [[3,2],[]] => 0
[6,3,3,1,1] => [3,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[6,3,2,2,1] => [3,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[6,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[6,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[5,5,4] => [5,4] => [4] => [[4],[]] => 0
[5,5,3,1] => [5,3,1] => [3,1] => [[3,1],[]] => 0
[5,5,2,2] => [5,2,2] => [2,2] => [[2,2],[]] => 0
[5,5,2,1,1] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[5,5,1,1,1,1] => [5,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[5,4,4,1] => [4,4,1] => [4,1] => [[4,1],[]] => 0
[5,4,3,2] => [4,3,2] => [3,2] => [[3,2],[]] => 0
[5,4,3,1,1] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[5,4,2,2,1] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[5,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[5,4,1,1,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[13,1,1] => [1,1] => [1] => [[1],[]] => 0
[12,2,1] => [2,1] => [1] => [[1],[]] => 0
[12,1,1,1] => [1,1,1] => [1,1] => [[1,1],[]] => 0
[11,3,1] => [3,1] => [1] => [[1],[]] => 0
[11,2,2] => [2,2] => [2] => [[2],[]] => 0
[11,2,1,1] => [2,1,1] => [1,1] => [[1,1],[]] => 0
[11,1,1,1,1] => [1,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[10,4,1] => [4,1] => [1] => [[1],[]] => 0
[10,3,2] => [3,2] => [2] => [[2],[]] => 0
[10,3,1,1] => [3,1,1] => [1,1] => [[1,1],[]] => 0
[10,2,2,1] => [2,2,1] => [2,1] => [[2,1],[]] => 0
[10,2,1,1,1] => [2,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[10,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[9,5,1] => [5,1] => [1] => [[1],[]] => 0
[9,4,2] => [4,2] => [2] => [[2],[]] => 0
[9,4,1,1] => [4,1,1] => [1,1] => [[1,1],[]] => 0
[9,3,3] => [3,3] => [3] => [[3],[]] => 0
[9,3,2,1] => [3,2,1] => [2,1] => [[2,1],[]] => 0
[9,3,1,1,1] => [3,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[9,2,2,2] => [2,2,2] => [2,2] => [[2,2],[]] => 0
[9,2,2,1,1] => [2,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[9,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[9,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[8,6,1] => [6,1] => [1] => [[1],[]] => 0
[8,5,2] => [5,2] => [2] => [[2],[]] => 0
[8,5,1,1] => [5,1,1] => [1,1] => [[1,1],[]] => 0
[8,4,3] => [4,3] => [3] => [[3],[]] => 0
[8,4,2,1] => [4,2,1] => [2,1] => [[2,1],[]] => 0
[8,4,1,1,1] => [4,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[8,3,3,1] => [3,3,1] => [3,1] => [[3,1],[]] => 0
[8,3,2,2] => [3,2,2] => [2,2] => [[2,2],[]] => 0
[8,3,2,1,1] => [3,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[8,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[8,2,2,2,1] => [2,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[8,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[8,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[7,7,1] => [7,1] => [1] => [[1],[]] => 0
[7,6,2] => [6,2] => [2] => [[2],[]] => 0
[7,6,1,1] => [6,1,1] => [1,1] => [[1,1],[]] => 0
[7,5,3] => [5,3] => [3] => [[3],[]] => 0
[7,5,2,1] => [5,2,1] => [2,1] => [[2,1],[]] => 0
[7,5,1,1,1] => [5,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[7,4,4] => [4,4] => [4] => [[4],[]] => 0
[7,4,3,1] => [4,3,1] => [3,1] => [[3,1],[]] => 0
[7,4,2,2] => [4,2,2] => [2,2] => [[2,2],[]] => 0
[7,4,2,1,1] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[7,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[7,3,3,2] => [3,3,2] => [3,2] => [[3,2],[]] => 0
[7,3,3,1,1] => [3,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[7,3,2,2,1] => [3,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[7,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[7,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[6,6,3] => [6,3] => [3] => [[3],[]] => 0
[6,6,2,1] => [6,2,1] => [2,1] => [[2,1],[]] => 0
[6,6,1,1,1] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[6,5,4] => [5,4] => [4] => [[4],[]] => 0
[6,5,3,1] => [5,3,1] => [3,1] => [[3,1],[]] => 0
[6,5,2,2] => [5,2,2] => [2,2] => [[2,2],[]] => 0
[6,5,2,1,1] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[6,5,1,1,1,1] => [5,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[6,4,4,1] => [4,4,1] => [4,1] => [[4,1],[]] => 0
[6,4,3,2] => [4,3,2] => [3,2] => [[3,2],[]] => 0
[6,4,3,1,1] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[6,4,2,2,1] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[6,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[6,4,1,1,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[5,5,5] => [5,5] => [5] => [[5],[]] => 0
[5,5,4,1] => [5,4,1] => [4,1] => [[4,1],[]] => 0
[5,5,3,2] => [5,3,2] => [3,2] => [[3,2],[]] => 0
[5,5,3,1,1] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[5,5,2,2,1] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[5,5,2,1,1,1] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[5,5,1,1,1,1,1] => [5,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[14,1,1] => [1,1] => [1] => [[1],[]] => 0
[13,2,1] => [2,1] => [1] => [[1],[]] => 0
[13,1,1,1] => [1,1,1] => [1,1] => [[1,1],[]] => 0
[12,3,1] => [3,1] => [1] => [[1],[]] => 0
[12,2,2] => [2,2] => [2] => [[2],[]] => 0
[12,2,1,1] => [2,1,1] => [1,1] => [[1,1],[]] => 0
[12,1,1,1,1] => [1,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[11,4,1] => [4,1] => [1] => [[1],[]] => 0
[11,3,2] => [3,2] => [2] => [[2],[]] => 0
[11,3,1,1] => [3,1,1] => [1,1] => [[1,1],[]] => 0
[11,2,2,1] => [2,2,1] => [2,1] => [[2,1],[]] => 0
[11,2,1,1,1] => [2,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[11,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[10,5,1] => [5,1] => [1] => [[1],[]] => 0
[10,4,2] => [4,2] => [2] => [[2],[]] => 0
[10,4,1,1] => [4,1,1] => [1,1] => [[1,1],[]] => 0
[10,3,3] => [3,3] => [3] => [[3],[]] => 0
[10,3,2,1] => [3,2,1] => [2,1] => [[2,1],[]] => 0
[10,3,1,1,1] => [3,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[10,2,2,2] => [2,2,2] => [2,2] => [[2,2],[]] => 0
[10,2,2,1,1] => [2,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[10,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[10,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[9,6,1] => [6,1] => [1] => [[1],[]] => 0
[9,5,2] => [5,2] => [2] => [[2],[]] => 0
[9,5,1,1] => [5,1,1] => [1,1] => [[1,1],[]] => 0
[9,4,3] => [4,3] => [3] => [[3],[]] => 0
[9,4,2,1] => [4,2,1] => [2,1] => [[2,1],[]] => 0
[9,4,1,1,1] => [4,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[9,3,3,1] => [3,3,1] => [3,1] => [[3,1],[]] => 0
[9,3,2,2] => [3,2,2] => [2,2] => [[2,2],[]] => 0
[9,3,2,1,1] => [3,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[9,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[9,2,2,2,1] => [2,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[9,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[9,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[8,7,1] => [7,1] => [1] => [[1],[]] => 0
[8,6,2] => [6,2] => [2] => [[2],[]] => 0
[8,6,1,1] => [6,1,1] => [1,1] => [[1,1],[]] => 0
[8,5,3] => [5,3] => [3] => [[3],[]] => 0
[8,5,2,1] => [5,2,1] => [2,1] => [[2,1],[]] => 0
[8,5,1,1,1] => [5,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[8,4,4] => [4,4] => [4] => [[4],[]] => 0
[8,4,3,1] => [4,3,1] => [3,1] => [[3,1],[]] => 0
[8,4,2,2] => [4,2,2] => [2,2] => [[2,2],[]] => 0
[8,4,2,1,1] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[8,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[8,3,3,2] => [3,3,2] => [3,2] => [[3,2],[]] => 0
[8,3,3,1,1] => [3,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[8,3,2,2,1] => [3,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[8,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[8,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[7,7,2] => [7,2] => [2] => [[2],[]] => 0
[7,7,1,1] => [7,1,1] => [1,1] => [[1,1],[]] => 0
[7,6,3] => [6,3] => [3] => [[3],[]] => 0
[7,6,2,1] => [6,2,1] => [2,1] => [[2,1],[]] => 0
[7,6,1,1,1] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[7,5,4] => [5,4] => [4] => [[4],[]] => 0
[7,5,3,1] => [5,3,1] => [3,1] => [[3,1],[]] => 0
[7,5,2,2] => [5,2,2] => [2,2] => [[2,2],[]] => 0
[7,5,2,1,1] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[7,5,1,1,1,1] => [5,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[7,4,4,1] => [4,4,1] => [4,1] => [[4,1],[]] => 0
[7,4,3,2] => [4,3,2] => [3,2] => [[3,2],[]] => 0
[7,4,3,1,1] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[7,4,2,2,1] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[7,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[7,4,1,1,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[6,6,4] => [6,4] => [4] => [[4],[]] => 0
[6,6,3,1] => [6,3,1] => [3,1] => [[3,1],[]] => 0
[6,6,2,2] => [6,2,2] => [2,2] => [[2,2],[]] => 0
[6,6,2,1,1] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[6,6,1,1,1,1] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[6,5,5] => [5,5] => [5] => [[5],[]] => 0
[6,5,4,1] => [5,4,1] => [4,1] => [[4,1],[]] => 0
[6,5,3,2] => [5,3,2] => [3,2] => [[3,2],[]] => 0
[6,5,3,1,1] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[6,5,2,2,1] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[6,5,2,1,1,1] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[6,5,1,1,1,1,1] => [5,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[15,1,1] => [1,1] => [1] => [[1],[]] => 0
[14,2,1] => [2,1] => [1] => [[1],[]] => 0
[14,1,1,1] => [1,1,1] => [1,1] => [[1,1],[]] => 0
[13,3,1] => [3,1] => [1] => [[1],[]] => 0
[13,2,2] => [2,2] => [2] => [[2],[]] => 0
[13,2,1,1] => [2,1,1] => [1,1] => [[1,1],[]] => 0
[13,1,1,1,1] => [1,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[12,4,1] => [4,1] => [1] => [[1],[]] => 0
[12,3,2] => [3,2] => [2] => [[2],[]] => 0
[12,3,1,1] => [3,1,1] => [1,1] => [[1,1],[]] => 0
[12,2,2,1] => [2,2,1] => [2,1] => [[2,1],[]] => 0
[12,2,1,1,1] => [2,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[12,1,1,1,1,1] => [1,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[11,5,1] => [5,1] => [1] => [[1],[]] => 0
[11,4,2] => [4,2] => [2] => [[2],[]] => 0
[11,4,1,1] => [4,1,1] => [1,1] => [[1,1],[]] => 0
[11,3,3] => [3,3] => [3] => [[3],[]] => 0
[11,3,2,1] => [3,2,1] => [2,1] => [[2,1],[]] => 0
[11,3,1,1,1] => [3,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[11,2,2,2] => [2,2,2] => [2,2] => [[2,2],[]] => 0
[11,2,2,1,1] => [2,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[11,2,1,1,1,1] => [2,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[11,1,1,1,1,1,1] => [1,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[10,6,1] => [6,1] => [1] => [[1],[]] => 0
[10,5,2] => [5,2] => [2] => [[2],[]] => 0
[10,5,1,1] => [5,1,1] => [1,1] => [[1,1],[]] => 0
[10,4,3] => [4,3] => [3] => [[3],[]] => 0
[10,4,2,1] => [4,2,1] => [2,1] => [[2,1],[]] => 0
[10,4,1,1,1] => [4,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[10,3,3,1] => [3,3,1] => [3,1] => [[3,1],[]] => 0
[10,3,2,2] => [3,2,2] => [2,2] => [[2,2],[]] => 0
[10,3,2,1,1] => [3,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[10,3,1,1,1,1] => [3,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[10,2,2,2,1] => [2,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[10,2,2,1,1,1] => [2,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[10,2,1,1,1,1,1] => [2,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[9,7,1] => [7,1] => [1] => [[1],[]] => 0
[9,6,2] => [6,2] => [2] => [[2],[]] => 0
[9,6,1,1] => [6,1,1] => [1,1] => [[1,1],[]] => 0
[9,5,3] => [5,3] => [3] => [[3],[]] => 0
[9,5,2,1] => [5,2,1] => [2,1] => [[2,1],[]] => 0
[9,5,1,1,1] => [5,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[9,4,4] => [4,4] => [4] => [[4],[]] => 0
[9,4,3,1] => [4,3,1] => [3,1] => [[3,1],[]] => 0
[9,4,2,2] => [4,2,2] => [2,2] => [[2,2],[]] => 0
[9,4,2,1,1] => [4,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[9,4,1,1,1,1] => [4,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[9,3,3,2] => [3,3,2] => [3,2] => [[3,2],[]] => 0
[9,3,3,1,1] => [3,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[9,3,2,2,1] => [3,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[9,3,2,1,1,1] => [3,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[9,3,1,1,1,1,1] => [3,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[8,8,1] => [8,1] => [1] => [[1],[]] => 0
[8,7,2] => [7,2] => [2] => [[2],[]] => 0
[8,7,1,1] => [7,1,1] => [1,1] => [[1,1],[]] => 0
[8,6,3] => [6,3] => [3] => [[3],[]] => 0
[8,6,2,1] => [6,2,1] => [2,1] => [[2,1],[]] => 0
[8,6,1,1,1] => [6,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[8,5,4] => [5,4] => [4] => [[4],[]] => 0
[8,5,3,1] => [5,3,1] => [3,1] => [[3,1],[]] => 0
[8,5,2,2] => [5,2,2] => [2,2] => [[2,2],[]] => 0
[8,5,2,1,1] => [5,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[8,5,1,1,1,1] => [5,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[8,4,4,1] => [4,4,1] => [4,1] => [[4,1],[]] => 0
[8,4,3,2] => [4,3,2] => [3,2] => [[3,2],[]] => 0
[8,4,3,1,1] => [4,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[8,4,2,2,1] => [4,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[8,4,2,1,1,1] => [4,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[8,4,1,1,1,1,1] => [4,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[7,7,3] => [7,3] => [3] => [[3],[]] => 0
[7,7,2,1] => [7,2,1] => [2,1] => [[2,1],[]] => 0
[7,7,1,1,1] => [7,1,1,1] => [1,1,1] => [[1,1,1],[]] => 0
[7,6,4] => [6,4] => [4] => [[4],[]] => 0
[7,6,3,1] => [6,3,1] => [3,1] => [[3,1],[]] => 0
[7,6,2,2] => [6,2,2] => [2,2] => [[2,2],[]] => 0
[7,6,2,1,1] => [6,2,1,1] => [2,1,1] => [[2,1,1],[]] => 0
[7,6,1,1,1,1] => [6,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[7,5,5] => [5,5] => [5] => [[5],[]] => 0
[7,5,4,1] => [5,4,1] => [4,1] => [[4,1],[]] => 0
[7,5,3,2] => [5,3,2] => [3,2] => [[3,2],[]] => 0
[7,5,3,1,1] => [5,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[7,5,2,2,1] => [5,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[7,5,2,1,1,1] => [5,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[7,5,1,1,1,1,1] => [5,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[6,6,5] => [6,5] => [5] => [[5],[]] => 0
[6,6,4,1] => [6,4,1] => [4,1] => [[4,1],[]] => 0
[6,6,3,2] => [6,3,2] => [3,2] => [[3,2],[]] => 0
[6,6,3,1,1] => [6,3,1,1] => [3,1,1] => [[3,1,1],[]] => 0
[6,6,2,2,1] => [6,2,2,1] => [2,2,1] => [[2,2,1],[]] => 0
[6,6,2,1,1,1] => [6,2,1,1,1] => [2,1,1,1] => [[2,1,1,1],[]] => 0
[6,6,1,1,1,1,1] => [6,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[7,6,1,1,1,1,1] => [6,1,1,1,1,1] => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
[7,6,5] => [6,5] => [5] => [[5],[]] => 0
[10,4,4] => [4,4] => [4] => [[4],[]] => 0
[11,7,3] => [7,3] => [3] => [[3],[]] => 0
[9,6,3] => [6,3] => [3] => [[3],[]] => 0
[8,6,4] => [6,4] => [4] => [[4],[]] => 0
[10,6,4] => [6,4] => [4] => [[4],[]] => 0
[15,5,5] => [5,5] => [5] => [[5],[]] => 0
[9,6,4] => [6,4] => [4] => [[4],[]] => 0
[10,7,3] => [7,3] => [3] => [[3],[]] => 0
[9,7,4] => [7,4] => [4] => [[4],[]] => 0
[7,7,1,1,1,1] => [7,1,1,1,1] => [1,1,1,1] => [[1,1,1,1],[]] => 0
[8,7,5] => [7,5] => [5] => [[5],[]] => 0