Identifier
Images
[] => [[],[]]
[1] => [[1],[]]
[2] => [[2],[]]
[1,1] => [[1,1],[]]
[3] => [[3],[]]
[2,1] => [[2,1],[]]
[1,1,1] => [[1,1,1],[]]
[4] => [[4],[]]
[3,1] => [[3,1],[]]
[2,2] => [[2,2],[]]
[2,1,1] => [[2,1,1],[]]
[1,1,1,1] => [[1,1,1,1],[]]
[5] => [[5],[]]
[4,1] => [[4,1],[]]
[3,2] => [[3,2],[]]
[3,1,1] => [[3,1,1],[]]
[2,2,1] => [[2,2,1],[]]
[2,1,1,1] => [[2,1,1,1],[]]
[1,1,1,1,1] => [[1,1,1,1,1],[]]
[6] => [[6],[]]
[5,1] => [[5,1],[]]
[4,2] => [[4,2],[]]
[4,1,1] => [[4,1,1],[]]
[3,3] => [[3,3],[]]
[3,2,1] => [[3,2,1],[]]
[3,1,1,1] => [[3,1,1,1],[]]
[2,2,2] => [[2,2,2],[]]
[2,2,1,1] => [[2,2,1,1],[]]
[2,1,1,1,1] => [[2,1,1,1,1],[]]
[1,1,1,1,1,1] => [[1,1,1,1,1,1],[]]
[7] => [[7],[]]
[6,1] => [[6,1],[]]
[5,2] => [[5,2],[]]
[5,1,1] => [[5,1,1],[]]
[4,3] => [[4,3],[]]
[4,2,1] => [[4,2,1],[]]
[4,1,1,1] => [[4,1,1,1],[]]
[3,3,1] => [[3,3,1],[]]
[3,2,2] => [[3,2,2],[]]
[3,2,1,1] => [[3,2,1,1],[]]
[3,1,1,1,1] => [[3,1,1,1,1],[]]
[2,2,2,1] => [[2,2,2,1],[]]
[2,2,1,1,1] => [[2,2,1,1,1],[]]
[2,1,1,1,1,1] => [[2,1,1,1,1,1],[]]
[1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1],[]]
[8] => [[8],[]]
[7,1] => [[7,1],[]]
[6,2] => [[6,2],[]]
[6,1,1] => [[6,1,1],[]]
[5,3] => [[5,3],[]]
[5,2,1] => [[5,2,1],[]]
[5,1,1,1] => [[5,1,1,1],[]]
[4,4] => [[4,4],[]]
[4,3,1] => [[4,3,1],[]]
[4,2,2] => [[4,2,2],[]]
[4,2,1,1] => [[4,2,1,1],[]]
[4,1,1,1,1] => [[4,1,1,1,1],[]]
[3,3,2] => [[3,3,2],[]]
[3,3,1,1] => [[3,3,1,1],[]]
[3,2,2,1] => [[3,2,2,1],[]]
[3,2,1,1,1] => [[3,2,1,1,1],[]]
[3,1,1,1,1,1] => [[3,1,1,1,1,1],[]]
[2,2,2,2] => [[2,2,2,2],[]]
[2,2,2,1,1] => [[2,2,2,1,1],[]]
[2,2,1,1,1,1] => [[2,2,1,1,1,1],[]]
[2,1,1,1,1,1,1] => [[2,1,1,1,1,1,1],[]]
[1,1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1,1],[]]
[9] => [[9],[]]
[8,1] => [[8,1],[]]
[7,2] => [[7,2],[]]
[7,1,1] => [[7,1,1],[]]
[6,3] => [[6,3],[]]
[6,2,1] => [[6,2,1],[]]
[6,1,1,1] => [[6,1,1,1],[]]
[5,4] => [[5,4],[]]
[5,3,1] => [[5,3,1],[]]
[5,2,2] => [[5,2,2],[]]
[5,2,1,1] => [[5,2,1,1],[]]
[5,1,1,1,1] => [[5,1,1,1,1],[]]
[4,4,1] => [[4,4,1],[]]
[4,3,2] => [[4,3,2],[]]
[4,3,1,1] => [[4,3,1,1],[]]
[4,2,2,1] => [[4,2,2,1],[]]
[4,2,1,1,1] => [[4,2,1,1,1],[]]
[4,1,1,1,1,1] => [[4,1,1,1,1,1],[]]
[3,3,3] => [[3,3,3],[]]
[3,3,2,1] => [[3,3,2,1],[]]
[3,3,1,1,1] => [[3,3,1,1,1],[]]
[3,2,2,2] => [[3,2,2,2],[]]
[3,2,2,1,1] => [[3,2,2,1,1],[]]
[3,2,1,1,1,1] => [[3,2,1,1,1,1],[]]
[3,1,1,1,1,1,1] => [[3,1,1,1,1,1,1],[]]
[2,2,2,2,1] => [[2,2,2,2,1],[]]
[2,2,2,1,1,1] => [[2,2,2,1,1,1],[]]
[2,2,1,1,1,1,1] => [[2,2,1,1,1,1,1],[]]
[2,1,1,1,1,1,1,1] => [[2,1,1,1,1,1,1,1],[]]
[1,1,1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1,1,1],[]]
[10] => [[10],[]]
[9,1] => [[9,1],[]]
[8,2] => [[8,2],[]]
[8,1,1] => [[8,1,1],[]]
>>> Load all 1578 entries. <<<
[7,3] => [[7,3],[]]
[7,2,1] => [[7,2,1],[]]
[7,1,1,1] => [[7,1,1,1],[]]
[6,4] => [[6,4],[]]
[6,3,1] => [[6,3,1],[]]
[6,2,2] => [[6,2,2],[]]
[6,2,1,1] => [[6,2,1,1],[]]
[6,1,1,1,1] => [[6,1,1,1,1],[]]
[5,5] => [[5,5],[]]
[5,4,1] => [[5,4,1],[]]
[5,3,2] => [[5,3,2],[]]
[5,3,1,1] => [[5,3,1,1],[]]
[5,2,2,1] => [[5,2,2,1],[]]
[5,2,1,1,1] => [[5,2,1,1,1],[]]
[5,1,1,1,1,1] => [[5,1,1,1,1,1],[]]
[4,4,2] => [[4,4,2],[]]
[4,4,1,1] => [[4,4,1,1],[]]
[4,3,3] => [[4,3,3],[]]
[4,3,2,1] => [[4,3,2,1],[]]
[4,3,1,1,1] => [[4,3,1,1,1],[]]
[4,2,2,2] => [[4,2,2,2],[]]
[4,2,2,1,1] => [[4,2,2,1,1],[]]
[4,2,1,1,1,1] => [[4,2,1,1,1,1],[]]
[4,1,1,1,1,1,1] => [[4,1,1,1,1,1,1],[]]
[3,3,3,1] => [[3,3,3,1],[]]
[3,3,2,2] => [[3,3,2,2],[]]
[3,3,2,1,1] => [[3,3,2,1,1],[]]
[3,3,1,1,1,1] => [[3,3,1,1,1,1],[]]
[3,2,2,2,1] => [[3,2,2,2,1],[]]
[3,2,2,1,1,1] => [[3,2,2,1,1,1],[]]
[3,2,1,1,1,1,1] => [[3,2,1,1,1,1,1],[]]
[3,1,1,1,1,1,1,1] => [[3,1,1,1,1,1,1,1],[]]
[2,2,2,2,2] => [[2,2,2,2,2],[]]
[2,2,2,2,1,1] => [[2,2,2,2,1,1],[]]
[2,2,2,1,1,1,1] => [[2,2,2,1,1,1,1],[]]
[2,2,1,1,1,1,1,1] => [[2,2,1,1,1,1,1,1],[]]
[2,1,1,1,1,1,1,1,1] => [[2,1,1,1,1,1,1,1,1],[]]
[1,1,1,1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1,1,1,1],[]]
[11] => [[11],[]]
[10,1] => [[10,1],[]]
[9,2] => [[9,2],[]]
[9,1,1] => [[9,1,1],[]]
[8,3] => [[8,3],[]]
[8,2,1] => [[8,2,1],[]]
[8,1,1,1] => [[8,1,1,1],[]]
[7,4] => [[7,4],[]]
[7,3,1] => [[7,3,1],[]]
[7,2,2] => [[7,2,2],[]]
[7,2,1,1] => [[7,2,1,1],[]]
[7,1,1,1,1] => [[7,1,1,1,1],[]]
[6,5] => [[6,5],[]]
[6,4,1] => [[6,4,1],[]]
[6,3,2] => [[6,3,2],[]]
[6,3,1,1] => [[6,3,1,1],[]]
[6,2,2,1] => [[6,2,2,1],[]]
[6,2,1,1,1] => [[6,2,1,1,1],[]]
[6,1,1,1,1,1] => [[6,1,1,1,1,1],[]]
[5,5,1] => [[5,5,1],[]]
[5,4,2] => [[5,4,2],[]]
[5,4,1,1] => [[5,4,1,1],[]]
[5,3,3] => [[5,3,3],[]]
[5,3,2,1] => [[5,3,2,1],[]]
[5,3,1,1,1] => [[5,3,1,1,1],[]]
[5,2,2,2] => [[5,2,2,2],[]]
[5,2,2,1,1] => [[5,2,2,1,1],[]]
[5,2,1,1,1,1] => [[5,2,1,1,1,1],[]]
[5,1,1,1,1,1,1] => [[5,1,1,1,1,1,1],[]]
[4,4,3] => [[4,4,3],[]]
[4,4,2,1] => [[4,4,2,1],[]]
[4,4,1,1,1] => [[4,4,1,1,1],[]]
[4,3,3,1] => [[4,3,3,1],[]]
[4,3,2,2] => [[4,3,2,2],[]]
[4,3,2,1,1] => [[4,3,2,1,1],[]]
[4,3,1,1,1,1] => [[4,3,1,1,1,1],[]]
[4,2,2,2,1] => [[4,2,2,2,1],[]]
[4,2,2,1,1,1] => [[4,2,2,1,1,1],[]]
[4,2,1,1,1,1,1] => [[4,2,1,1,1,1,1],[]]
[4,1,1,1,1,1,1,1] => [[4,1,1,1,1,1,1,1],[]]
[3,3,3,2] => [[3,3,3,2],[]]
[3,3,3,1,1] => [[3,3,3,1,1],[]]
[3,3,2,2,1] => [[3,3,2,2,1],[]]
[3,3,2,1,1,1] => [[3,3,2,1,1,1],[]]
[3,3,1,1,1,1,1] => [[3,3,1,1,1,1,1],[]]
[3,2,2,2,2] => [[3,2,2,2,2],[]]
[3,2,2,2,1,1] => [[3,2,2,2,1,1],[]]
[3,2,2,1,1,1,1] => [[3,2,2,1,1,1,1],[]]
[3,2,1,1,1,1,1,1] => [[3,2,1,1,1,1,1,1],[]]
[3,1,1,1,1,1,1,1,1] => [[3,1,1,1,1,1,1,1,1],[]]
[2,2,2,2,2,1] => [[2,2,2,2,2,1],[]]
[2,2,2,2,1,1,1] => [[2,2,2,2,1,1,1],[]]
[2,2,2,1,1,1,1,1] => [[2,2,2,1,1,1,1,1],[]]
[2,2,1,1,1,1,1,1,1] => [[2,2,1,1,1,1,1,1,1],[]]
[2,1,1,1,1,1,1,1,1,1] => [[2,1,1,1,1,1,1,1,1,1],[]]
[1,1,1,1,1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1,1,1,1,1],[]]
[12] => [[12],[]]
[11,1] => [[11,1],[]]
[10,2] => [[10,2],[]]
[10,1,1] => [[10,1,1],[]]
[9,3] => [[9,3],[]]
[9,2,1] => [[9,2,1],[]]
[9,1,1,1] => [[9,1,1,1],[]]
[8,4] => [[8,4],[]]
[8,3,1] => [[8,3,1],[]]
[8,2,2] => [[8,2,2],[]]
[8,2,1,1] => [[8,2,1,1],[]]
[8,1,1,1,1] => [[8,1,1,1,1],[]]
[7,5] => [[7,5],[]]
[7,4,1] => [[7,4,1],[]]
[7,3,2] => [[7,3,2],[]]
[7,3,1,1] => [[7,3,1,1],[]]
[7,2,2,1] => [[7,2,2,1],[]]
[7,2,1,1,1] => [[7,2,1,1,1],[]]
[7,1,1,1,1,1] => [[7,1,1,1,1,1],[]]
[6,6] => [[6,6],[]]
[6,5,1] => [[6,5,1],[]]
[6,4,2] => [[6,4,2],[]]
[6,4,1,1] => [[6,4,1,1],[]]
[6,3,3] => [[6,3,3],[]]
[6,3,2,1] => [[6,3,2,1],[]]
[6,3,1,1,1] => [[6,3,1,1,1],[]]
[6,2,2,2] => [[6,2,2,2],[]]
[6,2,2,1,1] => [[6,2,2,1,1],[]]
[6,2,1,1,1,1] => [[6,2,1,1,1,1],[]]
[6,1,1,1,1,1,1] => [[6,1,1,1,1,1,1],[]]
[5,5,2] => [[5,5,2],[]]
[5,5,1,1] => [[5,5,1,1],[]]
[5,4,3] => [[5,4,3],[]]
[5,4,2,1] => [[5,4,2,1],[]]
[5,4,1,1,1] => [[5,4,1,1,1],[]]
[5,3,3,1] => [[5,3,3,1],[]]
[5,3,2,2] => [[5,3,2,2],[]]
[5,3,2,1,1] => [[5,3,2,1,1],[]]
[5,3,1,1,1,1] => [[5,3,1,1,1,1],[]]
[5,2,2,2,1] => [[5,2,2,2,1],[]]
[5,2,2,1,1,1] => [[5,2,2,1,1,1],[]]
[5,2,1,1,1,1,1] => [[5,2,1,1,1,1,1],[]]
[5,1,1,1,1,1,1,1] => [[5,1,1,1,1,1,1,1],[]]
[4,4,4] => [[4,4,4],[]]
[4,4,3,1] => [[4,4,3,1],[]]
[4,4,2,2] => [[4,4,2,2],[]]
[4,4,2,1,1] => [[4,4,2,1,1],[]]
[4,4,1,1,1,1] => [[4,4,1,1,1,1],[]]
[4,3,3,2] => [[4,3,3,2],[]]
[4,3,3,1,1] => [[4,3,3,1,1],[]]
[4,3,2,2,1] => [[4,3,2,2,1],[]]
[4,3,2,1,1,1] => [[4,3,2,1,1,1],[]]
[4,3,1,1,1,1,1] => [[4,3,1,1,1,1,1],[]]
[4,2,2,2,2] => [[4,2,2,2,2],[]]
[4,2,2,2,1,1] => [[4,2,2,2,1,1],[]]
[4,2,2,1,1,1,1] => [[4,2,2,1,1,1,1],[]]
[4,2,1,1,1,1,1,1] => [[4,2,1,1,1,1,1,1],[]]
[4,1,1,1,1,1,1,1,1] => [[4,1,1,1,1,1,1,1,1],[]]
[3,3,3,3] => [[3,3,3,3],[]]
[3,3,3,2,1] => [[3,3,3,2,1],[]]
[3,3,3,1,1,1] => [[3,3,3,1,1,1],[]]
[3,3,2,2,2] => [[3,3,2,2,2],[]]
[3,3,2,2,1,1] => [[3,3,2,2,1,1],[]]
[3,3,2,1,1,1,1] => [[3,3,2,1,1,1,1],[]]
[3,3,1,1,1,1,1,1] => [[3,3,1,1,1,1,1,1],[]]
[3,2,2,2,2,1] => [[3,2,2,2,2,1],[]]
[3,2,2,2,1,1,1] => [[3,2,2,2,1,1,1],[]]
[3,2,2,1,1,1,1,1] => [[3,2,2,1,1,1,1,1],[]]
[3,2,1,1,1,1,1,1,1] => [[3,2,1,1,1,1,1,1,1],[]]
[3,1,1,1,1,1,1,1,1,1] => [[3,1,1,1,1,1,1,1,1,1],[]]
[2,2,2,2,2,2] => [[2,2,2,2,2,2],[]]
[2,2,2,2,2,1,1] => [[2,2,2,2,2,1,1],[]]
[2,2,2,2,1,1,1,1] => [[2,2,2,2,1,1,1,1],[]]
[2,2,2,1,1,1,1,1,1] => [[2,2,2,1,1,1,1,1,1],[]]
[2,2,1,1,1,1,1,1,1,1] => [[2,2,1,1,1,1,1,1,1,1],[]]
[2,1,1,1,1,1,1,1,1,1,1] => [[2,1,1,1,1,1,1,1,1,1,1],[]]
[1,1,1,1,1,1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1,1,1,1,1,1],[]]
[13] => [[13],[]]
[12,1] => [[12,1],[]]
[11,2] => [[11,2],[]]
[11,1,1] => [[11,1,1],[]]
[10,3] => [[10,3],[]]
[10,2,1] => [[10,2,1],[]]
[10,1,1,1] => [[10,1,1,1],[]]
[9,4] => [[9,4],[]]
[9,3,1] => [[9,3,1],[]]
[9,2,2] => [[9,2,2],[]]
[9,2,1,1] => [[9,2,1,1],[]]
[9,1,1,1,1] => [[9,1,1,1,1],[]]
[8,5] => [[8,5],[]]
[8,4,1] => [[8,4,1],[]]
[8,3,2] => [[8,3,2],[]]
[8,3,1,1] => [[8,3,1,1],[]]
[8,2,2,1] => [[8,2,2,1],[]]
[8,2,1,1,1] => [[8,2,1,1,1],[]]
[8,1,1,1,1,1] => [[8,1,1,1,1,1],[]]
[7,6] => [[7,6],[]]
[7,5,1] => [[7,5,1],[]]
[7,4,2] => [[7,4,2],[]]
[7,4,1,1] => [[7,4,1,1],[]]
[7,3,3] => [[7,3,3],[]]
[7,3,2,1] => [[7,3,2,1],[]]
[7,3,1,1,1] => [[7,3,1,1,1],[]]
[7,2,2,2] => [[7,2,2,2],[]]
[7,2,2,1,1] => [[7,2,2,1,1],[]]
[7,2,1,1,1,1] => [[7,2,1,1,1,1],[]]
[7,1,1,1,1,1,1] => [[7,1,1,1,1,1,1],[]]
[6,6,1] => [[6,6,1],[]]
[6,5,2] => [[6,5,2],[]]
[6,5,1,1] => [[6,5,1,1],[]]
[6,4,3] => [[6,4,3],[]]
[6,4,2,1] => [[6,4,2,1],[]]
[6,4,1,1,1] => [[6,4,1,1,1],[]]
[6,3,3,1] => [[6,3,3,1],[]]
[6,3,2,2] => [[6,3,2,2],[]]
[6,3,2,1,1] => [[6,3,2,1,1],[]]
[6,3,1,1,1,1] => [[6,3,1,1,1,1],[]]
[6,2,2,2,1] => [[6,2,2,2,1],[]]
[6,2,2,1,1,1] => [[6,2,2,1,1,1],[]]
[6,2,1,1,1,1,1] => [[6,2,1,1,1,1,1],[]]
[6,1,1,1,1,1,1,1] => [[6,1,1,1,1,1,1,1],[]]
[5,5,3] => [[5,5,3],[]]
[5,5,2,1] => [[5,5,2,1],[]]
[5,5,1,1,1] => [[5,5,1,1,1],[]]
[5,4,4] => [[5,4,4],[]]
[5,4,3,1] => [[5,4,3,1],[]]
[5,4,2,2] => [[5,4,2,2],[]]
[5,4,2,1,1] => [[5,4,2,1,1],[]]
[5,4,1,1,1,1] => [[5,4,1,1,1,1],[]]
[5,3,3,2] => [[5,3,3,2],[]]
[5,3,3,1,1] => [[5,3,3,1,1],[]]
[5,3,2,2,1] => [[5,3,2,2,1],[]]
[5,3,2,1,1,1] => [[5,3,2,1,1,1],[]]
[5,3,1,1,1,1,1] => [[5,3,1,1,1,1,1],[]]
[5,2,2,2,2] => [[5,2,2,2,2],[]]
[5,2,2,2,1,1] => [[5,2,2,2,1,1],[]]
[5,2,2,1,1,1,1] => [[5,2,2,1,1,1,1],[]]
[5,2,1,1,1,1,1,1] => [[5,2,1,1,1,1,1,1],[]]
[5,1,1,1,1,1,1,1,1] => [[5,1,1,1,1,1,1,1,1],[]]
[4,4,4,1] => [[4,4,4,1],[]]
[4,4,3,2] => [[4,4,3,2],[]]
[4,4,3,1,1] => [[4,4,3,1,1],[]]
[4,4,2,2,1] => [[4,4,2,2,1],[]]
[4,4,2,1,1,1] => [[4,4,2,1,1,1],[]]
[4,4,1,1,1,1,1] => [[4,4,1,1,1,1,1],[]]
[4,3,3,3] => [[4,3,3,3],[]]
[4,3,3,2,1] => [[4,3,3,2,1],[]]
[4,3,3,1,1,1] => [[4,3,3,1,1,1],[]]
[4,3,2,2,2] => [[4,3,2,2,2],[]]
[4,3,2,2,1,1] => [[4,3,2,2,1,1],[]]
[4,3,2,1,1,1,1] => [[4,3,2,1,1,1,1],[]]
[4,3,1,1,1,1,1,1] => [[4,3,1,1,1,1,1,1],[]]
[4,2,2,2,2,1] => [[4,2,2,2,2,1],[]]
[4,2,2,2,1,1,1] => [[4,2,2,2,1,1,1],[]]
[4,2,2,1,1,1,1,1] => [[4,2,2,1,1,1,1,1],[]]
[4,2,1,1,1,1,1,1,1] => [[4,2,1,1,1,1,1,1,1],[]]
[4,1,1,1,1,1,1,1,1,1] => [[4,1,1,1,1,1,1,1,1,1],[]]
[3,3,3,3,1] => [[3,3,3,3,1],[]]
[3,3,3,2,2] => [[3,3,3,2,2],[]]
[3,3,3,2,1,1] => [[3,3,3,2,1,1],[]]
[3,3,3,1,1,1,1] => [[3,3,3,1,1,1,1],[]]
[3,3,2,2,2,1] => [[3,3,2,2,2,1],[]]
[3,3,2,2,1,1,1] => [[3,3,2,2,1,1,1],[]]
[3,3,2,1,1,1,1,1] => [[3,3,2,1,1,1,1,1],[]]
[3,3,1,1,1,1,1,1,1] => [[3,3,1,1,1,1,1,1,1],[]]
[3,2,2,2,2,2] => [[3,2,2,2,2,2],[]]
[3,2,2,2,2,1,1] => [[3,2,2,2,2,1,1],[]]
[3,2,2,2,1,1,1,1] => [[3,2,2,2,1,1,1,1],[]]
[3,2,2,1,1,1,1,1,1] => [[3,2,2,1,1,1,1,1,1],[]]
[3,2,1,1,1,1,1,1,1,1] => [[3,2,1,1,1,1,1,1,1,1],[]]
[3,1,1,1,1,1,1,1,1,1,1] => [[3,1,1,1,1,1,1,1,1,1,1],[]]
[2,2,2,2,2,2,1] => [[2,2,2,2,2,2,1],[]]
[2,2,2,2,2,1,1,1] => [[2,2,2,2,2,1,1,1],[]]
[2,2,2,2,1,1,1,1,1] => [[2,2,2,2,1,1,1,1,1],[]]
[2,2,2,1,1,1,1,1,1,1] => [[2,2,2,1,1,1,1,1,1,1],[]]
[2,2,1,1,1,1,1,1,1,1,1] => [[2,2,1,1,1,1,1,1,1,1,1],[]]
[2,1,1,1,1,1,1,1,1,1,1,1] => [[2,1,1,1,1,1,1,1,1,1,1,1],[]]
[1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[14] => [[14],[]]
[13,1] => [[13,1],[]]
[12,2] => [[12,2],[]]
[12,1,1] => [[12,1,1],[]]
[11,3] => [[11,3],[]]
[11,2,1] => [[11,2,1],[]]
[11,1,1,1] => [[11,1,1,1],[]]
[10,4] => [[10,4],[]]
[10,3,1] => [[10,3,1],[]]
[10,2,2] => [[10,2,2],[]]
[10,2,1,1] => [[10,2,1,1],[]]
[10,1,1,1,1] => [[10,1,1,1,1],[]]
[9,5] => [[9,5],[]]
[9,4,1] => [[9,4,1],[]]
[9,3,2] => [[9,3,2],[]]
[9,3,1,1] => [[9,3,1,1],[]]
[9,2,2,1] => [[9,2,2,1],[]]
[9,2,1,1,1] => [[9,2,1,1,1],[]]
[9,1,1,1,1,1] => [[9,1,1,1,1,1],[]]
[8,6] => [[8,6],[]]
[8,5,1] => [[8,5,1],[]]
[8,4,2] => [[8,4,2],[]]
[8,4,1,1] => [[8,4,1,1],[]]
[8,3,3] => [[8,3,3],[]]
[8,3,2,1] => [[8,3,2,1],[]]
[8,3,1,1,1] => [[8,3,1,1,1],[]]
[8,2,2,2] => [[8,2,2,2],[]]
[8,2,2,1,1] => [[8,2,2,1,1],[]]
[8,2,1,1,1,1] => [[8,2,1,1,1,1],[]]
[8,1,1,1,1,1,1] => [[8,1,1,1,1,1,1],[]]
[7,7] => [[7,7],[]]
[7,6,1] => [[7,6,1],[]]
[7,5,2] => [[7,5,2],[]]
[7,5,1,1] => [[7,5,1,1],[]]
[7,4,3] => [[7,4,3],[]]
[7,4,2,1] => [[7,4,2,1],[]]
[7,4,1,1,1] => [[7,4,1,1,1],[]]
[7,3,3,1] => [[7,3,3,1],[]]
[7,3,2,2] => [[7,3,2,2],[]]
[7,3,2,1,1] => [[7,3,2,1,1],[]]
[7,3,1,1,1,1] => [[7,3,1,1,1,1],[]]
[7,2,2,2,1] => [[7,2,2,2,1],[]]
[7,2,2,1,1,1] => [[7,2,2,1,1,1],[]]
[7,2,1,1,1,1,1] => [[7,2,1,1,1,1,1],[]]
[7,1,1,1,1,1,1,1] => [[7,1,1,1,1,1,1,1],[]]
[6,6,2] => [[6,6,2],[]]
[6,6,1,1] => [[6,6,1,1],[]]
[6,5,3] => [[6,5,3],[]]
[6,5,2,1] => [[6,5,2,1],[]]
[6,5,1,1,1] => [[6,5,1,1,1],[]]
[6,4,4] => [[6,4,4],[]]
[6,4,3,1] => [[6,4,3,1],[]]
[6,4,2,2] => [[6,4,2,2],[]]
[6,4,2,1,1] => [[6,4,2,1,1],[]]
[6,4,1,1,1,1] => [[6,4,1,1,1,1],[]]
[6,3,3,2] => [[6,3,3,2],[]]
[6,3,3,1,1] => [[6,3,3,1,1],[]]
[6,3,2,2,1] => [[6,3,2,2,1],[]]
[6,3,2,1,1,1] => [[6,3,2,1,1,1],[]]
[6,3,1,1,1,1,1] => [[6,3,1,1,1,1,1],[]]
[6,2,2,2,2] => [[6,2,2,2,2],[]]
[6,2,2,2,1,1] => [[6,2,2,2,1,1],[]]
[6,2,2,1,1,1,1] => [[6,2,2,1,1,1,1],[]]
[6,2,1,1,1,1,1,1] => [[6,2,1,1,1,1,1,1],[]]
[6,1,1,1,1,1,1,1,1] => [[6,1,1,1,1,1,1,1,1],[]]
[5,5,4] => [[5,5,4],[]]
[5,5,3,1] => [[5,5,3,1],[]]
[5,5,2,2] => [[5,5,2,2],[]]
[5,5,2,1,1] => [[5,5,2,1,1],[]]
[5,5,1,1,1,1] => [[5,5,1,1,1,1],[]]
[5,4,4,1] => [[5,4,4,1],[]]
[5,4,3,2] => [[5,4,3,2],[]]
[5,4,3,1,1] => [[5,4,3,1,1],[]]
[5,4,2,2,1] => [[5,4,2,2,1],[]]
[5,4,2,1,1,1] => [[5,4,2,1,1,1],[]]
[5,4,1,1,1,1,1] => [[5,4,1,1,1,1,1],[]]
[5,3,3,3] => [[5,3,3,3],[]]
[5,3,3,2,1] => [[5,3,3,2,1],[]]
[5,3,3,1,1,1] => [[5,3,3,1,1,1],[]]
[5,3,2,2,2] => [[5,3,2,2,2],[]]
[5,3,2,2,1,1] => [[5,3,2,2,1,1],[]]
[5,3,2,1,1,1,1] => [[5,3,2,1,1,1,1],[]]
[5,3,1,1,1,1,1,1] => [[5,3,1,1,1,1,1,1],[]]
[5,2,2,2,2,1] => [[5,2,2,2,2,1],[]]
[5,2,2,2,1,1,1] => [[5,2,2,2,1,1,1],[]]
[5,2,2,1,1,1,1,1] => [[5,2,2,1,1,1,1,1],[]]
[5,2,1,1,1,1,1,1,1] => [[5,2,1,1,1,1,1,1,1],[]]
[5,1,1,1,1,1,1,1,1,1] => [[5,1,1,1,1,1,1,1,1,1],[]]
[4,4,4,2] => [[4,4,4,2],[]]
[4,4,4,1,1] => [[4,4,4,1,1],[]]
[4,4,3,3] => [[4,4,3,3],[]]
[4,4,3,2,1] => [[4,4,3,2,1],[]]
[4,4,3,1,1,1] => [[4,4,3,1,1,1],[]]
[4,4,2,2,2] => [[4,4,2,2,2],[]]
[4,4,2,2,1,1] => [[4,4,2,2,1,1],[]]
[4,4,2,1,1,1,1] => [[4,4,2,1,1,1,1],[]]
[4,4,1,1,1,1,1,1] => [[4,4,1,1,1,1,1,1],[]]
[4,3,3,3,1] => [[4,3,3,3,1],[]]
[4,3,3,2,2] => [[4,3,3,2,2],[]]
[4,3,3,2,1,1] => [[4,3,3,2,1,1],[]]
[4,3,3,1,1,1,1] => [[4,3,3,1,1,1,1],[]]
[4,3,2,2,2,1] => [[4,3,2,2,2,1],[]]
[4,3,2,2,1,1,1] => [[4,3,2,2,1,1,1],[]]
[4,3,2,1,1,1,1,1] => [[4,3,2,1,1,1,1,1],[]]
[4,3,1,1,1,1,1,1,1] => [[4,3,1,1,1,1,1,1,1],[]]
[4,2,2,2,2,2] => [[4,2,2,2,2,2],[]]
[4,2,2,2,2,1,1] => [[4,2,2,2,2,1,1],[]]
[4,2,2,2,1,1,1,1] => [[4,2,2,2,1,1,1,1],[]]
[4,2,2,1,1,1,1,1,1] => [[4,2,2,1,1,1,1,1,1],[]]
[4,2,1,1,1,1,1,1,1,1] => [[4,2,1,1,1,1,1,1,1,1],[]]
[4,1,1,1,1,1,1,1,1,1,1] => [[4,1,1,1,1,1,1,1,1,1,1],[]]
[3,3,3,3,2] => [[3,3,3,3,2],[]]
[3,3,3,3,1,1] => [[3,3,3,3,1,1],[]]
[3,3,3,2,2,1] => [[3,3,3,2,2,1],[]]
[3,3,3,2,1,1,1] => [[3,3,3,2,1,1,1],[]]
[3,3,3,1,1,1,1,1] => [[3,3,3,1,1,1,1,1],[]]
[3,3,2,2,2,2] => [[3,3,2,2,2,2],[]]
[3,3,2,2,2,1,1] => [[3,3,2,2,2,1,1],[]]
[3,3,2,2,1,1,1,1] => [[3,3,2,2,1,1,1,1],[]]
[3,3,2,1,1,1,1,1,1] => [[3,3,2,1,1,1,1,1,1],[]]
[3,3,1,1,1,1,1,1,1,1] => [[3,3,1,1,1,1,1,1,1,1],[]]
[3,2,2,2,2,2,1] => [[3,2,2,2,2,2,1],[]]
[3,2,2,2,2,1,1,1] => [[3,2,2,2,2,1,1,1],[]]
[3,2,2,2,1,1,1,1,1] => [[3,2,2,2,1,1,1,1,1],[]]
[3,2,2,1,1,1,1,1,1,1] => [[3,2,2,1,1,1,1,1,1,1],[]]
[3,2,1,1,1,1,1,1,1,1,1] => [[3,2,1,1,1,1,1,1,1,1,1],[]]
[3,1,1,1,1,1,1,1,1,1,1,1] => [[3,1,1,1,1,1,1,1,1,1,1,1],[]]
[2,2,2,2,2,2,2] => [[2,2,2,2,2,2,2],[]]
[2,2,2,2,2,2,1,1] => [[2,2,2,2,2,2,1,1],[]]
[2,2,2,2,2,1,1,1,1] => [[2,2,2,2,2,1,1,1,1],[]]
[2,2,2,2,1,1,1,1,1,1] => [[2,2,2,2,1,1,1,1,1,1],[]]
[2,2,2,1,1,1,1,1,1,1,1] => [[2,2,2,1,1,1,1,1,1,1,1],[]]
[2,2,1,1,1,1,1,1,1,1,1,1] => [[2,2,1,1,1,1,1,1,1,1,1,1],[]]
[2,1,1,1,1,1,1,1,1,1,1,1,1] => [[2,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[15] => [[15],[]]
[14,1] => [[14,1],[]]
[13,2] => [[13,2],[]]
[13,1,1] => [[13,1,1],[]]
[12,3] => [[12,3],[]]
[12,2,1] => [[12,2,1],[]]
[12,1,1,1] => [[12,1,1,1],[]]
[11,4] => [[11,4],[]]
[11,3,1] => [[11,3,1],[]]
[11,2,2] => [[11,2,2],[]]
[11,2,1,1] => [[11,2,1,1],[]]
[11,1,1,1,1] => [[11,1,1,1,1],[]]
[10,5] => [[10,5],[]]
[10,4,1] => [[10,4,1],[]]
[10,3,2] => [[10,3,2],[]]
[10,3,1,1] => [[10,3,1,1],[]]
[10,2,2,1] => [[10,2,2,1],[]]
[10,2,1,1,1] => [[10,2,1,1,1],[]]
[10,1,1,1,1,1] => [[10,1,1,1,1,1],[]]
[9,6] => [[9,6],[]]
[9,5,1] => [[9,5,1],[]]
[9,4,2] => [[9,4,2],[]]
[9,4,1,1] => [[9,4,1,1],[]]
[9,3,3] => [[9,3,3],[]]
[9,3,2,1] => [[9,3,2,1],[]]
[9,3,1,1,1] => [[9,3,1,1,1],[]]
[9,2,2,2] => [[9,2,2,2],[]]
[9,2,2,1,1] => [[9,2,2,1,1],[]]
[9,2,1,1,1,1] => [[9,2,1,1,1,1],[]]
[9,1,1,1,1,1,1] => [[9,1,1,1,1,1,1],[]]
[8,7] => [[8,7],[]]
[8,6,1] => [[8,6,1],[]]
[8,5,2] => [[8,5,2],[]]
[8,5,1,1] => [[8,5,1,1],[]]
[8,4,3] => [[8,4,3],[]]
[8,4,2,1] => [[8,4,2,1],[]]
[8,4,1,1,1] => [[8,4,1,1,1],[]]
[8,3,3,1] => [[8,3,3,1],[]]
[8,3,2,2] => [[8,3,2,2],[]]
[8,3,2,1,1] => [[8,3,2,1,1],[]]
[8,3,1,1,1,1] => [[8,3,1,1,1,1],[]]
[8,2,2,2,1] => [[8,2,2,2,1],[]]
[8,2,2,1,1,1] => [[8,2,2,1,1,1],[]]
[8,2,1,1,1,1,1] => [[8,2,1,1,1,1,1],[]]
[8,1,1,1,1,1,1,1] => [[8,1,1,1,1,1,1,1],[]]
[7,7,1] => [[7,7,1],[]]
[7,6,2] => [[7,6,2],[]]
[7,6,1,1] => [[7,6,1,1],[]]
[7,5,3] => [[7,5,3],[]]
[7,5,2,1] => [[7,5,2,1],[]]
[7,5,1,1,1] => [[7,5,1,1,1],[]]
[7,4,4] => [[7,4,4],[]]
[7,4,3,1] => [[7,4,3,1],[]]
[7,4,2,2] => [[7,4,2,2],[]]
[7,4,2,1,1] => [[7,4,2,1,1],[]]
[7,4,1,1,1,1] => [[7,4,1,1,1,1],[]]
[7,3,3,2] => [[7,3,3,2],[]]
[7,3,3,1,1] => [[7,3,3,1,1],[]]
[7,3,2,2,1] => [[7,3,2,2,1],[]]
[7,3,2,1,1,1] => [[7,3,2,1,1,1],[]]
[7,3,1,1,1,1,1] => [[7,3,1,1,1,1,1],[]]
[7,2,2,2,2] => [[7,2,2,2,2],[]]
[7,2,2,2,1,1] => [[7,2,2,2,1,1],[]]
[7,2,2,1,1,1,1] => [[7,2,2,1,1,1,1],[]]
[7,2,1,1,1,1,1,1] => [[7,2,1,1,1,1,1,1],[]]
[7,1,1,1,1,1,1,1,1] => [[7,1,1,1,1,1,1,1,1],[]]
[6,6,3] => [[6,6,3],[]]
[6,6,2,1] => [[6,6,2,1],[]]
[6,6,1,1,1] => [[6,6,1,1,1],[]]
[6,5,4] => [[6,5,4],[]]
[6,5,3,1] => [[6,5,3,1],[]]
[6,5,2,2] => [[6,5,2,2],[]]
[6,5,2,1,1] => [[6,5,2,1,1],[]]
[6,5,1,1,1,1] => [[6,5,1,1,1,1],[]]
[6,4,4,1] => [[6,4,4,1],[]]
[6,4,3,2] => [[6,4,3,2],[]]
[6,4,3,1,1] => [[6,4,3,1,1],[]]
[6,4,2,2,1] => [[6,4,2,2,1],[]]
[6,4,2,1,1,1] => [[6,4,2,1,1,1],[]]
[6,4,1,1,1,1,1] => [[6,4,1,1,1,1,1],[]]
[6,3,3,3] => [[6,3,3,3],[]]
[6,3,3,2,1] => [[6,3,3,2,1],[]]
[6,3,3,1,1,1] => [[6,3,3,1,1,1],[]]
[6,3,2,2,2] => [[6,3,2,2,2],[]]
[6,3,2,2,1,1] => [[6,3,2,2,1,1],[]]
[6,3,2,1,1,1,1] => [[6,3,2,1,1,1,1],[]]
[6,3,1,1,1,1,1,1] => [[6,3,1,1,1,1,1,1],[]]
[6,2,2,2,2,1] => [[6,2,2,2,2,1],[]]
[6,2,2,2,1,1,1] => [[6,2,2,2,1,1,1],[]]
[6,2,2,1,1,1,1,1] => [[6,2,2,1,1,1,1,1],[]]
[6,2,1,1,1,1,1,1,1] => [[6,2,1,1,1,1,1,1,1],[]]
[6,1,1,1,1,1,1,1,1,1] => [[6,1,1,1,1,1,1,1,1,1],[]]
[5,5,5] => [[5,5,5],[]]
[5,5,4,1] => [[5,5,4,1],[]]
[5,5,3,2] => [[5,5,3,2],[]]
[5,5,3,1,1] => [[5,5,3,1,1],[]]
[5,5,2,2,1] => [[5,5,2,2,1],[]]
[5,5,2,1,1,1] => [[5,5,2,1,1,1],[]]
[5,5,1,1,1,1,1] => [[5,5,1,1,1,1,1],[]]
[5,4,4,2] => [[5,4,4,2],[]]
[5,4,4,1,1] => [[5,4,4,1,1],[]]
[5,4,3,3] => [[5,4,3,3],[]]
[5,4,3,2,1] => [[5,4,3,2,1],[]]
[5,4,3,1,1,1] => [[5,4,3,1,1,1],[]]
[5,4,2,2,2] => [[5,4,2,2,2],[]]
[5,4,2,2,1,1] => [[5,4,2,2,1,1],[]]
[5,4,2,1,1,1,1] => [[5,4,2,1,1,1,1],[]]
[5,4,1,1,1,1,1,1] => [[5,4,1,1,1,1,1,1],[]]
[5,3,3,3,1] => [[5,3,3,3,1],[]]
[5,3,3,2,2] => [[5,3,3,2,2],[]]
[5,3,3,2,1,1] => [[5,3,3,2,1,1],[]]
[5,3,3,1,1,1,1] => [[5,3,3,1,1,1,1],[]]
[5,3,2,2,2,1] => [[5,3,2,2,2,1],[]]
[5,3,2,2,1,1,1] => [[5,3,2,2,1,1,1],[]]
[5,3,2,1,1,1,1,1] => [[5,3,2,1,1,1,1,1],[]]
[5,3,1,1,1,1,1,1,1] => [[5,3,1,1,1,1,1,1,1],[]]
[5,2,2,2,2,2] => [[5,2,2,2,2,2],[]]
[5,2,2,2,2,1,1] => [[5,2,2,2,2,1,1],[]]
[5,2,2,2,1,1,1,1] => [[5,2,2,2,1,1,1,1],[]]
[5,2,2,1,1,1,1,1,1] => [[5,2,2,1,1,1,1,1,1],[]]
[5,2,1,1,1,1,1,1,1,1] => [[5,2,1,1,1,1,1,1,1,1],[]]
[5,1,1,1,1,1,1,1,1,1,1] => [[5,1,1,1,1,1,1,1,1,1,1],[]]
[4,4,4,3] => [[4,4,4,3],[]]
[4,4,4,2,1] => [[4,4,4,2,1],[]]
[4,4,4,1,1,1] => [[4,4,4,1,1,1],[]]
[4,4,3,3,1] => [[4,4,3,3,1],[]]
[4,4,3,2,2] => [[4,4,3,2,2],[]]
[4,4,3,2,1,1] => [[4,4,3,2,1,1],[]]
[4,4,3,1,1,1,1] => [[4,4,3,1,1,1,1],[]]
[4,4,2,2,2,1] => [[4,4,2,2,2,1],[]]
[4,4,2,2,1,1,1] => [[4,4,2,2,1,1,1],[]]
[4,4,2,1,1,1,1,1] => [[4,4,2,1,1,1,1,1],[]]
[4,4,1,1,1,1,1,1,1] => [[4,4,1,1,1,1,1,1,1],[]]
[4,3,3,3,2] => [[4,3,3,3,2],[]]
[4,3,3,3,1,1] => [[4,3,3,3,1,1],[]]
[4,3,3,2,2,1] => [[4,3,3,2,2,1],[]]
[4,3,3,2,1,1,1] => [[4,3,3,2,1,1,1],[]]
[4,3,3,1,1,1,1,1] => [[4,3,3,1,1,1,1,1],[]]
[4,3,2,2,2,2] => [[4,3,2,2,2,2],[]]
[4,3,2,2,2,1,1] => [[4,3,2,2,2,1,1],[]]
[4,3,2,2,1,1,1,1] => [[4,3,2,2,1,1,1,1],[]]
[4,3,2,1,1,1,1,1,1] => [[4,3,2,1,1,1,1,1,1],[]]
[4,3,1,1,1,1,1,1,1,1] => [[4,3,1,1,1,1,1,1,1,1],[]]
[4,2,2,2,2,2,1] => [[4,2,2,2,2,2,1],[]]
[4,2,2,2,2,1,1,1] => [[4,2,2,2,2,1,1,1],[]]
[4,2,2,2,1,1,1,1,1] => [[4,2,2,2,1,1,1,1,1],[]]
[4,2,2,1,1,1,1,1,1,1] => [[4,2,2,1,1,1,1,1,1,1],[]]
[4,2,1,1,1,1,1,1,1,1,1] => [[4,2,1,1,1,1,1,1,1,1,1],[]]
[4,1,1,1,1,1,1,1,1,1,1,1] => [[4,1,1,1,1,1,1,1,1,1,1,1],[]]
[3,3,3,3,3] => [[3,3,3,3,3],[]]
[3,3,3,3,2,1] => [[3,3,3,3,2,1],[]]
[3,3,3,3,1,1,1] => [[3,3,3,3,1,1,1],[]]
[3,3,3,2,2,2] => [[3,3,3,2,2,2],[]]
[3,3,3,2,2,1,1] => [[3,3,3,2,2,1,1],[]]
[3,3,3,2,1,1,1,1] => [[3,3,3,2,1,1,1,1],[]]
[3,3,3,1,1,1,1,1,1] => [[3,3,3,1,1,1,1,1,1],[]]
[3,3,2,2,2,2,1] => [[3,3,2,2,2,2,1],[]]
[3,3,2,2,2,1,1,1] => [[3,3,2,2,2,1,1,1],[]]
[3,3,2,2,1,1,1,1,1] => [[3,3,2,2,1,1,1,1,1],[]]
[3,3,2,1,1,1,1,1,1,1] => [[3,3,2,1,1,1,1,1,1,1],[]]
[3,3,1,1,1,1,1,1,1,1,1] => [[3,3,1,1,1,1,1,1,1,1,1],[]]
[3,2,2,2,2,2,2] => [[3,2,2,2,2,2,2],[]]
[3,2,2,2,2,2,1,1] => [[3,2,2,2,2,2,1,1],[]]
[3,2,2,2,2,1,1,1,1] => [[3,2,2,2,2,1,1,1,1],[]]
[3,2,2,2,1,1,1,1,1,1] => [[3,2,2,2,1,1,1,1,1,1],[]]
[3,2,2,1,1,1,1,1,1,1,1] => [[3,2,2,1,1,1,1,1,1,1,1],[]]
[3,2,1,1,1,1,1,1,1,1,1,1] => [[3,2,1,1,1,1,1,1,1,1,1,1],[]]
[3,1,1,1,1,1,1,1,1,1,1,1,1] => [[3,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[2,2,2,2,2,2,2,1] => [[2,2,2,2,2,2,2,1],[]]
[2,2,2,2,2,2,1,1,1] => [[2,2,2,2,2,2,1,1,1],[]]
[2,2,2,2,2,1,1,1,1,1] => [[2,2,2,2,2,1,1,1,1,1],[]]
[2,2,2,2,1,1,1,1,1,1,1] => [[2,2,2,2,1,1,1,1,1,1,1],[]]
[2,2,2,1,1,1,1,1,1,1,1,1] => [[2,2,2,1,1,1,1,1,1,1,1,1],[]]
[2,2,1,1,1,1,1,1,1,1,1,1,1] => [[2,2,1,1,1,1,1,1,1,1,1,1,1],[]]
[2,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[2,1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[16] => [[16],[]]
[15,1] => [[15,1],[]]
[14,2] => [[14,2],[]]
[14,1,1] => [[14,1,1],[]]
[13,3] => [[13,3],[]]
[13,2,1] => [[13,2,1],[]]
[13,1,1,1] => [[13,1,1,1],[]]
[12,4] => [[12,4],[]]
[12,3,1] => [[12,3,1],[]]
[12,2,2] => [[12,2,2],[]]
[12,2,1,1] => [[12,2,1,1],[]]
[12,1,1,1,1] => [[12,1,1,1,1],[]]
[11,5] => [[11,5],[]]
[11,4,1] => [[11,4,1],[]]
[11,3,2] => [[11,3,2],[]]
[11,3,1,1] => [[11,3,1,1],[]]
[11,2,2,1] => [[11,2,2,1],[]]
[11,2,1,1,1] => [[11,2,1,1,1],[]]
[11,1,1,1,1,1] => [[11,1,1,1,1,1],[]]
[10,6] => [[10,6],[]]
[10,5,1] => [[10,5,1],[]]
[10,4,2] => [[10,4,2],[]]
[10,4,1,1] => [[10,4,1,1],[]]
[10,3,3] => [[10,3,3],[]]
[10,3,2,1] => [[10,3,2,1],[]]
[10,3,1,1,1] => [[10,3,1,1,1],[]]
[10,2,2,2] => [[10,2,2,2],[]]
[10,2,2,1,1] => [[10,2,2,1,1],[]]
[10,2,1,1,1,1] => [[10,2,1,1,1,1],[]]
[10,1,1,1,1,1,1] => [[10,1,1,1,1,1,1],[]]
[9,7] => [[9,7],[]]
[9,6,1] => [[9,6,1],[]]
[9,5,2] => [[9,5,2],[]]
[9,5,1,1] => [[9,5,1,1],[]]
[9,4,3] => [[9,4,3],[]]
[9,4,2,1] => [[9,4,2,1],[]]
[9,4,1,1,1] => [[9,4,1,1,1],[]]
[9,3,3,1] => [[9,3,3,1],[]]
[9,3,2,2] => [[9,3,2,2],[]]
[9,3,2,1,1] => [[9,3,2,1,1],[]]
[9,3,1,1,1,1] => [[9,3,1,1,1,1],[]]
[9,2,2,2,1] => [[9,2,2,2,1],[]]
[9,2,2,1,1,1] => [[9,2,2,1,1,1],[]]
[9,2,1,1,1,1,1] => [[9,2,1,1,1,1,1],[]]
[9,1,1,1,1,1,1,1] => [[9,1,1,1,1,1,1,1],[]]
[8,8] => [[8,8],[]]
[8,7,1] => [[8,7,1],[]]
[8,6,2] => [[8,6,2],[]]
[8,6,1,1] => [[8,6,1,1],[]]
[8,5,3] => [[8,5,3],[]]
[8,5,2,1] => [[8,5,2,1],[]]
[8,5,1,1,1] => [[8,5,1,1,1],[]]
[8,4,4] => [[8,4,4],[]]
[8,4,3,1] => [[8,4,3,1],[]]
[8,4,2,2] => [[8,4,2,2],[]]
[8,4,2,1,1] => [[8,4,2,1,1],[]]
[8,4,1,1,1,1] => [[8,4,1,1,1,1],[]]
[8,3,3,2] => [[8,3,3,2],[]]
[8,3,3,1,1] => [[8,3,3,1,1],[]]
[8,3,2,2,1] => [[8,3,2,2,1],[]]
[8,3,2,1,1,1] => [[8,3,2,1,1,1],[]]
[8,3,1,1,1,1,1] => [[8,3,1,1,1,1,1],[]]
[8,2,2,2,2] => [[8,2,2,2,2],[]]
[8,2,2,2,1,1] => [[8,2,2,2,1,1],[]]
[8,2,2,1,1,1,1] => [[8,2,2,1,1,1,1],[]]
[8,2,1,1,1,1,1,1] => [[8,2,1,1,1,1,1,1],[]]
[8,1,1,1,1,1,1,1,1] => [[8,1,1,1,1,1,1,1,1],[]]
[7,7,2] => [[7,7,2],[]]
[7,7,1,1] => [[7,7,1,1],[]]
[7,6,3] => [[7,6,3],[]]
[7,6,2,1] => [[7,6,2,1],[]]
[7,6,1,1,1] => [[7,6,1,1,1],[]]
[7,5,4] => [[7,5,4],[]]
[7,5,3,1] => [[7,5,3,1],[]]
[7,5,2,2] => [[7,5,2,2],[]]
[7,5,2,1,1] => [[7,5,2,1,1],[]]
[7,5,1,1,1,1] => [[7,5,1,1,1,1],[]]
[7,4,4,1] => [[7,4,4,1],[]]
[7,4,3,2] => [[7,4,3,2],[]]
[7,4,3,1,1] => [[7,4,3,1,1],[]]
[7,4,2,2,1] => [[7,4,2,2,1],[]]
[7,4,2,1,1,1] => [[7,4,2,1,1,1],[]]
[7,4,1,1,1,1,1] => [[7,4,1,1,1,1,1],[]]
[7,3,3,3] => [[7,3,3,3],[]]
[7,3,3,2,1] => [[7,3,3,2,1],[]]
[7,3,3,1,1,1] => [[7,3,3,1,1,1],[]]
[7,3,2,2,2] => [[7,3,2,2,2],[]]
[7,3,2,2,1,1] => [[7,3,2,2,1,1],[]]
[7,3,2,1,1,1,1] => [[7,3,2,1,1,1,1],[]]
[7,3,1,1,1,1,1,1] => [[7,3,1,1,1,1,1,1],[]]
[7,2,2,2,2,1] => [[7,2,2,2,2,1],[]]
[7,2,2,2,1,1,1] => [[7,2,2,2,1,1,1],[]]
[7,2,2,1,1,1,1,1] => [[7,2,2,1,1,1,1,1],[]]
[7,2,1,1,1,1,1,1,1] => [[7,2,1,1,1,1,1,1,1],[]]
[7,1,1,1,1,1,1,1,1,1] => [[7,1,1,1,1,1,1,1,1,1],[]]
[6,6,4] => [[6,6,4],[]]
[6,6,3,1] => [[6,6,3,1],[]]
[6,6,2,2] => [[6,6,2,2],[]]
[6,6,2,1,1] => [[6,6,2,1,1],[]]
[6,6,1,1,1,1] => [[6,6,1,1,1,1],[]]
[6,5,5] => [[6,5,5],[]]
[6,5,4,1] => [[6,5,4,1],[]]
[6,5,3,2] => [[6,5,3,2],[]]
[6,5,3,1,1] => [[6,5,3,1,1],[]]
[6,5,2,2,1] => [[6,5,2,2,1],[]]
[6,5,2,1,1,1] => [[6,5,2,1,1,1],[]]
[6,5,1,1,1,1,1] => [[6,5,1,1,1,1,1],[]]
[6,4,4,2] => [[6,4,4,2],[]]
[6,4,4,1,1] => [[6,4,4,1,1],[]]
[6,4,3,3] => [[6,4,3,3],[]]
[6,4,3,2,1] => [[6,4,3,2,1],[]]
[6,4,3,1,1,1] => [[6,4,3,1,1,1],[]]
[6,4,2,2,2] => [[6,4,2,2,2],[]]
[6,4,2,2,1,1] => [[6,4,2,2,1,1],[]]
[6,4,2,1,1,1,1] => [[6,4,2,1,1,1,1],[]]
[6,4,1,1,1,1,1,1] => [[6,4,1,1,1,1,1,1],[]]
[6,3,3,3,1] => [[6,3,3,3,1],[]]
[6,3,3,2,2] => [[6,3,3,2,2],[]]
[6,3,3,2,1,1] => [[6,3,3,2,1,1],[]]
[6,3,3,1,1,1,1] => [[6,3,3,1,1,1,1],[]]
[6,3,2,2,2,1] => [[6,3,2,2,2,1],[]]
[6,3,2,2,1,1,1] => [[6,3,2,2,1,1,1],[]]
[6,3,2,1,1,1,1,1] => [[6,3,2,1,1,1,1,1],[]]
[6,3,1,1,1,1,1,1,1] => [[6,3,1,1,1,1,1,1,1],[]]
[6,2,2,2,2,2] => [[6,2,2,2,2,2],[]]
[6,2,2,2,2,1,1] => [[6,2,2,2,2,1,1],[]]
[6,2,2,2,1,1,1,1] => [[6,2,2,2,1,1,1,1],[]]
[6,2,2,1,1,1,1,1,1] => [[6,2,2,1,1,1,1,1,1],[]]
[6,2,1,1,1,1,1,1,1,1] => [[6,2,1,1,1,1,1,1,1,1],[]]
[6,1,1,1,1,1,1,1,1,1,1] => [[6,1,1,1,1,1,1,1,1,1,1],[]]
[5,5,5,1] => [[5,5,5,1],[]]
[5,5,4,2] => [[5,5,4,2],[]]
[5,5,4,1,1] => [[5,5,4,1,1],[]]
[5,5,3,3] => [[5,5,3,3],[]]
[5,5,3,2,1] => [[5,5,3,2,1],[]]
[5,5,3,1,1,1] => [[5,5,3,1,1,1],[]]
[5,5,2,2,2] => [[5,5,2,2,2],[]]
[5,5,2,2,1,1] => [[5,5,2,2,1,1],[]]
[5,5,2,1,1,1,1] => [[5,5,2,1,1,1,1],[]]
[5,5,1,1,1,1,1,1] => [[5,5,1,1,1,1,1,1],[]]
[5,4,4,3] => [[5,4,4,3],[]]
[5,4,4,2,1] => [[5,4,4,2,1],[]]
[5,4,4,1,1,1] => [[5,4,4,1,1,1],[]]
[5,4,3,3,1] => [[5,4,3,3,1],[]]
[5,4,3,2,2] => [[5,4,3,2,2],[]]
[5,4,3,2,1,1] => [[5,4,3,2,1,1],[]]
[5,4,3,1,1,1,1] => [[5,4,3,1,1,1,1],[]]
[5,4,2,2,2,1] => [[5,4,2,2,2,1],[]]
[5,4,2,2,1,1,1] => [[5,4,2,2,1,1,1],[]]
[5,4,2,1,1,1,1,1] => [[5,4,2,1,1,1,1,1],[]]
[5,4,1,1,1,1,1,1,1] => [[5,4,1,1,1,1,1,1,1],[]]
[5,3,3,3,2] => [[5,3,3,3,2],[]]
[5,3,3,3,1,1] => [[5,3,3,3,1,1],[]]
[5,3,3,2,2,1] => [[5,3,3,2,2,1],[]]
[5,3,3,2,1,1,1] => [[5,3,3,2,1,1,1],[]]
[5,3,3,1,1,1,1,1] => [[5,3,3,1,1,1,1,1],[]]
[5,3,2,2,2,2] => [[5,3,2,2,2,2],[]]
[5,3,2,2,2,1,1] => [[5,3,2,2,2,1,1],[]]
[5,3,2,2,1,1,1,1] => [[5,3,2,2,1,1,1,1],[]]
[5,3,2,1,1,1,1,1,1] => [[5,3,2,1,1,1,1,1,1],[]]
[5,3,1,1,1,1,1,1,1,1] => [[5,3,1,1,1,1,1,1,1,1],[]]
[5,2,2,2,2,2,1] => [[5,2,2,2,2,2,1],[]]
[5,2,2,2,2,1,1,1] => [[5,2,2,2,2,1,1,1],[]]
[5,2,2,2,1,1,1,1,1] => [[5,2,2,2,1,1,1,1,1],[]]
[5,2,2,1,1,1,1,1,1,1] => [[5,2,2,1,1,1,1,1,1,1],[]]
[5,2,1,1,1,1,1,1,1,1,1] => [[5,2,1,1,1,1,1,1,1,1,1],[]]
[5,1,1,1,1,1,1,1,1,1,1,1] => [[5,1,1,1,1,1,1,1,1,1,1,1],[]]
[4,4,4,4] => [[4,4,4,4],[]]
[4,4,4,3,1] => [[4,4,4,3,1],[]]
[4,4,4,2,2] => [[4,4,4,2,2],[]]
[4,4,4,2,1,1] => [[4,4,4,2,1,1],[]]
[4,4,4,1,1,1,1] => [[4,4,4,1,1,1,1],[]]
[4,4,3,3,2] => [[4,4,3,3,2],[]]
[4,4,3,3,1,1] => [[4,4,3,3,1,1],[]]
[4,4,3,2,2,1] => [[4,4,3,2,2,1],[]]
[4,4,3,2,1,1,1] => [[4,4,3,2,1,1,1],[]]
[4,4,3,1,1,1,1,1] => [[4,4,3,1,1,1,1,1],[]]
[4,4,2,2,2,2] => [[4,4,2,2,2,2],[]]
[4,4,2,2,2,1,1] => [[4,4,2,2,2,1,1],[]]
[4,4,2,2,1,1,1,1] => [[4,4,2,2,1,1,1,1],[]]
[4,4,2,1,1,1,1,1,1] => [[4,4,2,1,1,1,1,1,1],[]]
[4,4,1,1,1,1,1,1,1,1] => [[4,4,1,1,1,1,1,1,1,1],[]]
[4,3,3,3,3] => [[4,3,3,3,3],[]]
[4,3,3,3,2,1] => [[4,3,3,3,2,1],[]]
[4,3,3,3,1,1,1] => [[4,3,3,3,1,1,1],[]]
[4,3,3,2,2,2] => [[4,3,3,2,2,2],[]]
[4,3,3,2,2,1,1] => [[4,3,3,2,2,1,1],[]]
[4,3,3,2,1,1,1,1] => [[4,3,3,2,1,1,1,1],[]]
[4,3,3,1,1,1,1,1,1] => [[4,3,3,1,1,1,1,1,1],[]]
[4,3,2,2,2,2,1] => [[4,3,2,2,2,2,1],[]]
[4,3,2,2,2,1,1,1] => [[4,3,2,2,2,1,1,1],[]]
[4,3,2,2,1,1,1,1,1] => [[4,3,2,2,1,1,1,1,1],[]]
[4,3,2,1,1,1,1,1,1,1] => [[4,3,2,1,1,1,1,1,1,1],[]]
[4,3,1,1,1,1,1,1,1,1,1] => [[4,3,1,1,1,1,1,1,1,1,1],[]]
[4,2,2,2,2,2,2] => [[4,2,2,2,2,2,2],[]]
[4,2,2,2,2,2,1,1] => [[4,2,2,2,2,2,1,1],[]]
[4,2,2,2,2,1,1,1,1] => [[4,2,2,2,2,1,1,1,1],[]]
[4,2,2,2,1,1,1,1,1,1] => [[4,2,2,2,1,1,1,1,1,1],[]]
[4,2,2,1,1,1,1,1,1,1,1] => [[4,2,2,1,1,1,1,1,1,1,1],[]]
[4,2,1,1,1,1,1,1,1,1,1,1] => [[4,2,1,1,1,1,1,1,1,1,1,1],[]]
[4,1,1,1,1,1,1,1,1,1,1,1,1] => [[4,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[3,3,3,3,3,1] => [[3,3,3,3,3,1],[]]
[3,3,3,3,2,2] => [[3,3,3,3,2,2],[]]
[3,3,3,3,2,1,1] => [[3,3,3,3,2,1,1],[]]
[3,3,3,3,1,1,1,1] => [[3,3,3,3,1,1,1,1],[]]
[3,3,3,2,2,2,1] => [[3,3,3,2,2,2,1],[]]
[3,3,3,2,2,1,1,1] => [[3,3,3,2,2,1,1,1],[]]
[3,3,3,2,1,1,1,1,1] => [[3,3,3,2,1,1,1,1,1],[]]
[3,3,3,1,1,1,1,1,1,1] => [[3,3,3,1,1,1,1,1,1,1],[]]
[3,3,2,2,2,2,2] => [[3,3,2,2,2,2,2],[]]
[3,3,2,2,2,2,1,1] => [[3,3,2,2,2,2,1,1],[]]
[3,3,2,2,2,1,1,1,1] => [[3,3,2,2,2,1,1,1,1],[]]
[3,3,2,2,1,1,1,1,1,1] => [[3,3,2,2,1,1,1,1,1,1],[]]
[3,3,2,1,1,1,1,1,1,1,1] => [[3,3,2,1,1,1,1,1,1,1,1],[]]
[3,3,1,1,1,1,1,1,1,1,1,1] => [[3,3,1,1,1,1,1,1,1,1,1,1],[]]
[3,2,2,2,2,2,2,1] => [[3,2,2,2,2,2,2,1],[]]
[3,2,2,2,2,2,1,1,1] => [[3,2,2,2,2,2,1,1,1],[]]
[3,2,2,2,2,1,1,1,1,1] => [[3,2,2,2,2,1,1,1,1,1],[]]
[3,2,2,2,1,1,1,1,1,1,1] => [[3,2,2,2,1,1,1,1,1,1,1],[]]
[3,2,2,1,1,1,1,1,1,1,1,1] => [[3,2,2,1,1,1,1,1,1,1,1,1],[]]
[3,2,1,1,1,1,1,1,1,1,1,1,1] => [[3,2,1,1,1,1,1,1,1,1,1,1,1],[]]
[3,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[3,1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[2,2,2,2,2,2,2,2] => [[2,2,2,2,2,2,2,2],[]]
[2,2,2,2,2,2,2,1,1] => [[2,2,2,2,2,2,2,1,1],[]]
[2,2,2,2,2,2,1,1,1,1] => [[2,2,2,2,2,2,1,1,1,1],[]]
[2,2,2,2,2,1,1,1,1,1,1] => [[2,2,2,2,2,1,1,1,1,1,1],[]]
[2,2,2,2,1,1,1,1,1,1,1,1] => [[2,2,2,2,1,1,1,1,1,1,1,1],[]]
[2,2,2,1,1,1,1,1,1,1,1,1,1] => [[2,2,2,1,1,1,1,1,1,1,1,1,1],[]]
[2,2,1,1,1,1,1,1,1,1,1,1,1,1] => [[2,2,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[17] => [[17],[]]
[16,1] => [[16,1],[]]
[15,2] => [[15,2],[]]
[15,1,1] => [[15,1,1],[]]
[14,3] => [[14,3],[]]
[14,2,1] => [[14,2,1],[]]
[14,1,1,1] => [[14,1,1,1],[]]
[13,4] => [[13,4],[]]
[13,3,1] => [[13,3,1],[]]
[13,2,2] => [[13,2,2],[]]
[13,2,1,1] => [[13,2,1,1],[]]
[13,1,1,1,1] => [[13,1,1,1,1],[]]
[12,5] => [[12,5],[]]
[12,4,1] => [[12,4,1],[]]
[12,3,2] => [[12,3,2],[]]
[12,3,1,1] => [[12,3,1,1],[]]
[12,2,2,1] => [[12,2,2,1],[]]
[12,2,1,1,1] => [[12,2,1,1,1],[]]
[12,1,1,1,1,1] => [[12,1,1,1,1,1],[]]
[11,6] => [[11,6],[]]
[11,5,1] => [[11,5,1],[]]
[11,4,2] => [[11,4,2],[]]
[11,4,1,1] => [[11,4,1,1],[]]
[11,3,3] => [[11,3,3],[]]
[11,3,2,1] => [[11,3,2,1],[]]
[11,3,1,1,1] => [[11,3,1,1,1],[]]
[11,2,2,2] => [[11,2,2,2],[]]
[11,2,2,1,1] => [[11,2,2,1,1],[]]
[11,2,1,1,1,1] => [[11,2,1,1,1,1],[]]
[11,1,1,1,1,1,1] => [[11,1,1,1,1,1,1],[]]
[10,7] => [[10,7],[]]
[10,6,1] => [[10,6,1],[]]
[10,5,2] => [[10,5,2],[]]
[10,5,1,1] => [[10,5,1,1],[]]
[10,4,3] => [[10,4,3],[]]
[10,4,2,1] => [[10,4,2,1],[]]
[10,4,1,1,1] => [[10,4,1,1,1],[]]
[10,3,3,1] => [[10,3,3,1],[]]
[10,3,2,2] => [[10,3,2,2],[]]
[10,3,2,1,1] => [[10,3,2,1,1],[]]
[10,3,1,1,1,1] => [[10,3,1,1,1,1],[]]
[10,2,2,2,1] => [[10,2,2,2,1],[]]
[10,2,2,1,1,1] => [[10,2,2,1,1,1],[]]
[10,2,1,1,1,1,1] => [[10,2,1,1,1,1,1],[]]
[10,1,1,1,1,1,1,1] => [[10,1,1,1,1,1,1,1],[]]
[9,8] => [[9,8],[]]
[9,7,1] => [[9,7,1],[]]
[9,6,2] => [[9,6,2],[]]
[9,6,1,1] => [[9,6,1,1],[]]
[9,5,3] => [[9,5,3],[]]
[9,5,2,1] => [[9,5,2,1],[]]
[9,5,1,1,1] => [[9,5,1,1,1],[]]
[9,4,4] => [[9,4,4],[]]
[9,4,3,1] => [[9,4,3,1],[]]
[9,4,2,2] => [[9,4,2,2],[]]
[9,4,2,1,1] => [[9,4,2,1,1],[]]
[9,4,1,1,1,1] => [[9,4,1,1,1,1],[]]
[9,3,3,2] => [[9,3,3,2],[]]
[9,3,3,1,1] => [[9,3,3,1,1],[]]
[9,3,2,2,1] => [[9,3,2,2,1],[]]
[9,3,2,1,1,1] => [[9,3,2,1,1,1],[]]
[9,3,1,1,1,1,1] => [[9,3,1,1,1,1,1],[]]
[9,2,2,2,2] => [[9,2,2,2,2],[]]
[9,2,2,2,1,1] => [[9,2,2,2,1,1],[]]
[9,2,2,1,1,1,1] => [[9,2,2,1,1,1,1],[]]
[9,2,1,1,1,1,1,1] => [[9,2,1,1,1,1,1,1],[]]
[9,1,1,1,1,1,1,1,1] => [[9,1,1,1,1,1,1,1,1],[]]
[8,8,1] => [[8,8,1],[]]
[8,7,2] => [[8,7,2],[]]
[8,7,1,1] => [[8,7,1,1],[]]
[8,6,3] => [[8,6,3],[]]
[8,6,2,1] => [[8,6,2,1],[]]
[8,6,1,1,1] => [[8,6,1,1,1],[]]
[8,5,4] => [[8,5,4],[]]
[8,5,3,1] => [[8,5,3,1],[]]
[8,5,2,2] => [[8,5,2,2],[]]
[8,5,2,1,1] => [[8,5,2,1,1],[]]
[8,5,1,1,1,1] => [[8,5,1,1,1,1],[]]
[8,4,4,1] => [[8,4,4,1],[]]
[8,4,3,2] => [[8,4,3,2],[]]
[8,4,3,1,1] => [[8,4,3,1,1],[]]
[8,4,2,2,1] => [[8,4,2,2,1],[]]
[8,4,2,1,1,1] => [[8,4,2,1,1,1],[]]
[8,4,1,1,1,1,1] => [[8,4,1,1,1,1,1],[]]
[8,3,3,3] => [[8,3,3,3],[]]
[8,3,3,2,1] => [[8,3,3,2,1],[]]
[8,3,3,1,1,1] => [[8,3,3,1,1,1],[]]
[8,3,2,2,2] => [[8,3,2,2,2],[]]
[8,3,2,2,1,1] => [[8,3,2,2,1,1],[]]
[8,3,2,1,1,1,1] => [[8,3,2,1,1,1,1],[]]
[8,3,1,1,1,1,1,1] => [[8,3,1,1,1,1,1,1],[]]
[8,2,2,2,2,1] => [[8,2,2,2,2,1],[]]
[8,2,2,2,1,1,1] => [[8,2,2,2,1,1,1],[]]
[8,2,2,1,1,1,1,1] => [[8,2,2,1,1,1,1,1],[]]
[8,2,1,1,1,1,1,1,1] => [[8,2,1,1,1,1,1,1,1],[]]
[8,1,1,1,1,1,1,1,1,1] => [[8,1,1,1,1,1,1,1,1,1],[]]
[7,7,3] => [[7,7,3],[]]
[7,7,2,1] => [[7,7,2,1],[]]
[7,7,1,1,1] => [[7,7,1,1,1],[]]
[7,6,4] => [[7,6,4],[]]
[7,6,3,1] => [[7,6,3,1],[]]
[7,6,2,2] => [[7,6,2,2],[]]
[7,6,2,1,1] => [[7,6,2,1,1],[]]
[7,6,1,1,1,1] => [[7,6,1,1,1,1],[]]
[7,5,5] => [[7,5,5],[]]
[7,5,4,1] => [[7,5,4,1],[]]
[7,5,3,2] => [[7,5,3,2],[]]
[7,5,3,1,1] => [[7,5,3,1,1],[]]
[7,5,2,2,1] => [[7,5,2,2,1],[]]
[7,5,2,1,1,1] => [[7,5,2,1,1,1],[]]
[7,5,1,1,1,1,1] => [[7,5,1,1,1,1,1],[]]
[7,4,4,2] => [[7,4,4,2],[]]
[7,4,4,1,1] => [[7,4,4,1,1],[]]
[7,4,3,3] => [[7,4,3,3],[]]
[7,4,3,2,1] => [[7,4,3,2,1],[]]
[7,4,3,1,1,1] => [[7,4,3,1,1,1],[]]
[7,4,2,2,2] => [[7,4,2,2,2],[]]
[7,4,2,2,1,1] => [[7,4,2,2,1,1],[]]
[7,4,2,1,1,1,1] => [[7,4,2,1,1,1,1],[]]
[7,4,1,1,1,1,1,1] => [[7,4,1,1,1,1,1,1],[]]
[7,3,3,3,1] => [[7,3,3,3,1],[]]
[7,3,3,2,2] => [[7,3,3,2,2],[]]
[7,3,3,2,1,1] => [[7,3,3,2,1,1],[]]
[7,3,3,1,1,1,1] => [[7,3,3,1,1,1,1],[]]
[7,3,2,2,2,1] => [[7,3,2,2,2,1],[]]
[7,3,2,2,1,1,1] => [[7,3,2,2,1,1,1],[]]
[7,3,2,1,1,1,1,1] => [[7,3,2,1,1,1,1,1],[]]
[7,3,1,1,1,1,1,1,1] => [[7,3,1,1,1,1,1,1,1],[]]
[7,2,2,2,2,2] => [[7,2,2,2,2,2],[]]
[7,2,2,2,2,1,1] => [[7,2,2,2,2,1,1],[]]
[7,2,2,2,1,1,1,1] => [[7,2,2,2,1,1,1,1],[]]
[7,2,2,1,1,1,1,1,1] => [[7,2,2,1,1,1,1,1,1],[]]
[7,2,1,1,1,1,1,1,1,1] => [[7,2,1,1,1,1,1,1,1,1],[]]
[7,1,1,1,1,1,1,1,1,1,1] => [[7,1,1,1,1,1,1,1,1,1,1],[]]
[6,6,5] => [[6,6,5],[]]
[6,6,4,1] => [[6,6,4,1],[]]
[6,6,3,2] => [[6,6,3,2],[]]
[6,6,3,1,1] => [[6,6,3,1,1],[]]
[6,6,2,2,1] => [[6,6,2,2,1],[]]
[6,6,2,1,1,1] => [[6,6,2,1,1,1],[]]
[6,6,1,1,1,1,1] => [[6,6,1,1,1,1,1],[]]
[6,5,5,1] => [[6,5,5,1],[]]
[6,5,4,2] => [[6,5,4,2],[]]
[6,5,4,1,1] => [[6,5,4,1,1],[]]
[6,5,3,3] => [[6,5,3,3],[]]
[6,5,3,2,1] => [[6,5,3,2,1],[]]
[6,5,3,1,1,1] => [[6,5,3,1,1,1],[]]
[6,5,2,2,2] => [[6,5,2,2,2],[]]
[6,5,2,2,1,1] => [[6,5,2,2,1,1],[]]
[6,5,2,1,1,1,1] => [[6,5,2,1,1,1,1],[]]
[6,5,1,1,1,1,1,1] => [[6,5,1,1,1,1,1,1],[]]
[6,4,4,3] => [[6,4,4,3],[]]
[6,4,4,2,1] => [[6,4,4,2,1],[]]
[6,4,4,1,1,1] => [[6,4,4,1,1,1],[]]
[6,4,3,3,1] => [[6,4,3,3,1],[]]
[6,4,3,2,2] => [[6,4,3,2,2],[]]
[6,4,3,2,1,1] => [[6,4,3,2,1,1],[]]
[6,4,3,1,1,1,1] => [[6,4,3,1,1,1,1],[]]
[6,4,2,2,2,1] => [[6,4,2,2,2,1],[]]
[6,4,2,2,1,1,1] => [[6,4,2,2,1,1,1],[]]
[6,4,2,1,1,1,1,1] => [[6,4,2,1,1,1,1,1],[]]
[6,4,1,1,1,1,1,1,1] => [[6,4,1,1,1,1,1,1,1],[]]
[6,3,3,3,2] => [[6,3,3,3,2],[]]
[6,3,3,3,1,1] => [[6,3,3,3,1,1],[]]
[6,3,3,2,2,1] => [[6,3,3,2,2,1],[]]
[6,3,3,2,1,1,1] => [[6,3,3,2,1,1,1],[]]
[6,3,3,1,1,1,1,1] => [[6,3,3,1,1,1,1,1],[]]
[6,3,2,2,2,2] => [[6,3,2,2,2,2],[]]
[6,3,2,2,2,1,1] => [[6,3,2,2,2,1,1],[]]
[6,3,2,2,1,1,1,1] => [[6,3,2,2,1,1,1,1],[]]
[6,3,2,1,1,1,1,1,1] => [[6,3,2,1,1,1,1,1,1],[]]
[6,3,1,1,1,1,1,1,1,1] => [[6,3,1,1,1,1,1,1,1,1],[]]
[6,2,2,2,2,2,1] => [[6,2,2,2,2,2,1],[]]
[6,2,2,2,2,1,1,1] => [[6,2,2,2,2,1,1,1],[]]
[6,2,2,2,1,1,1,1,1] => [[6,2,2,2,1,1,1,1,1],[]]
[6,2,2,1,1,1,1,1,1,1] => [[6,2,2,1,1,1,1,1,1,1],[]]
[6,2,1,1,1,1,1,1,1,1,1] => [[6,2,1,1,1,1,1,1,1,1,1],[]]
[6,1,1,1,1,1,1,1,1,1,1,1] => [[6,1,1,1,1,1,1,1,1,1,1,1],[]]
[5,5,5,2] => [[5,5,5,2],[]]
[5,5,5,1,1] => [[5,5,5,1,1],[]]
[5,5,4,3] => [[5,5,4,3],[]]
[5,5,4,2,1] => [[5,5,4,2,1],[]]
[5,5,4,1,1,1] => [[5,5,4,1,1,1],[]]
[5,5,3,3,1] => [[5,5,3,3,1],[]]
[5,5,3,2,2] => [[5,5,3,2,2],[]]
[5,5,3,2,1,1] => [[5,5,3,2,1,1],[]]
[5,5,3,1,1,1,1] => [[5,5,3,1,1,1,1],[]]
[5,5,2,2,2,1] => [[5,5,2,2,2,1],[]]
[5,5,2,2,1,1,1] => [[5,5,2,2,1,1,1],[]]
[5,5,2,1,1,1,1,1] => [[5,5,2,1,1,1,1,1],[]]
[5,5,1,1,1,1,1,1,1] => [[5,5,1,1,1,1,1,1,1],[]]
[5,4,4,4] => [[5,4,4,4],[]]
[5,4,4,3,1] => [[5,4,4,3,1],[]]
[5,4,4,2,2] => [[5,4,4,2,2],[]]
[5,4,4,2,1,1] => [[5,4,4,2,1,1],[]]
[5,4,4,1,1,1,1] => [[5,4,4,1,1,1,1],[]]
[5,4,3,3,2] => [[5,4,3,3,2],[]]
[5,4,3,3,1,1] => [[5,4,3,3,1,1],[]]
[5,4,3,2,2,1] => [[5,4,3,2,2,1],[]]
[5,4,3,2,1,1,1] => [[5,4,3,2,1,1,1],[]]
[5,4,3,1,1,1,1,1] => [[5,4,3,1,1,1,1,1],[]]
[5,4,2,2,2,2] => [[5,4,2,2,2,2],[]]
[5,4,2,2,2,1,1] => [[5,4,2,2,2,1,1],[]]
[5,4,2,2,1,1,1,1] => [[5,4,2,2,1,1,1,1],[]]
[5,4,2,1,1,1,1,1,1] => [[5,4,2,1,1,1,1,1,1],[]]
[5,4,1,1,1,1,1,1,1,1] => [[5,4,1,1,1,1,1,1,1,1],[]]
[5,3,3,3,3] => [[5,3,3,3,3],[]]
[5,3,3,3,2,1] => [[5,3,3,3,2,1],[]]
[5,3,3,3,1,1,1] => [[5,3,3,3,1,1,1],[]]
[5,3,3,2,2,2] => [[5,3,3,2,2,2],[]]
[5,3,3,2,2,1,1] => [[5,3,3,2,2,1,1],[]]
[5,3,3,2,1,1,1,1] => [[5,3,3,2,1,1,1,1],[]]
[5,3,3,1,1,1,1,1,1] => [[5,3,3,1,1,1,1,1,1],[]]
[5,3,2,2,2,2,1] => [[5,3,2,2,2,2,1],[]]
[5,3,2,2,2,1,1,1] => [[5,3,2,2,2,1,1,1],[]]
[5,3,2,2,1,1,1,1,1] => [[5,3,2,2,1,1,1,1,1],[]]
[5,3,2,1,1,1,1,1,1,1] => [[5,3,2,1,1,1,1,1,1,1],[]]
[5,3,1,1,1,1,1,1,1,1,1] => [[5,3,1,1,1,1,1,1,1,1,1],[]]
[5,2,2,2,2,2,2] => [[5,2,2,2,2,2,2],[]]
[5,2,2,2,2,2,1,1] => [[5,2,2,2,2,2,1,1],[]]
[5,2,2,2,2,1,1,1,1] => [[5,2,2,2,2,1,1,1,1],[]]
[5,2,2,2,1,1,1,1,1,1] => [[5,2,2,2,1,1,1,1,1,1],[]]
[5,2,2,1,1,1,1,1,1,1,1] => [[5,2,2,1,1,1,1,1,1,1,1],[]]
[5,2,1,1,1,1,1,1,1,1,1,1] => [[5,2,1,1,1,1,1,1,1,1,1,1],[]]
[5,1,1,1,1,1,1,1,1,1,1,1,1] => [[5,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[4,4,4,4,1] => [[4,4,4,4,1],[]]
[4,4,4,3,2] => [[4,4,4,3,2],[]]
[4,4,4,3,1,1] => [[4,4,4,3,1,1],[]]
[4,4,4,2,2,1] => [[4,4,4,2,2,1],[]]
[4,4,4,2,1,1,1] => [[4,4,4,2,1,1,1],[]]
[4,4,4,1,1,1,1,1] => [[4,4,4,1,1,1,1,1],[]]
[4,4,3,3,3] => [[4,4,3,3,3],[]]
[4,4,3,3,2,1] => [[4,4,3,3,2,1],[]]
[4,4,3,3,1,1,1] => [[4,4,3,3,1,1,1],[]]
[4,4,3,2,2,2] => [[4,4,3,2,2,2],[]]
[4,4,3,2,2,1,1] => [[4,4,3,2,2,1,1],[]]
[4,4,3,2,1,1,1,1] => [[4,4,3,2,1,1,1,1],[]]
[4,4,3,1,1,1,1,1,1] => [[4,4,3,1,1,1,1,1,1],[]]
[4,4,2,2,2,2,1] => [[4,4,2,2,2,2,1],[]]
[4,4,2,2,2,1,1,1] => [[4,4,2,2,2,1,1,1],[]]
[4,4,2,2,1,1,1,1,1] => [[4,4,2,2,1,1,1,1,1],[]]
[4,4,2,1,1,1,1,1,1,1] => [[4,4,2,1,1,1,1,1,1,1],[]]
[4,4,1,1,1,1,1,1,1,1,1] => [[4,4,1,1,1,1,1,1,1,1,1],[]]
[4,3,3,3,3,1] => [[4,3,3,3,3,1],[]]
[4,3,3,3,2,2] => [[4,3,3,3,2,2],[]]
[4,3,3,3,2,1,1] => [[4,3,3,3,2,1,1],[]]
[4,3,3,3,1,1,1,1] => [[4,3,3,3,1,1,1,1],[]]
[4,3,3,2,2,2,1] => [[4,3,3,2,2,2,1],[]]
[4,3,3,2,2,1,1,1] => [[4,3,3,2,2,1,1,1],[]]
[4,3,3,2,1,1,1,1,1] => [[4,3,3,2,1,1,1,1,1],[]]
[4,3,3,1,1,1,1,1,1,1] => [[4,3,3,1,1,1,1,1,1,1],[]]
[4,3,2,2,2,2,2] => [[4,3,2,2,2,2,2],[]]
[4,3,2,2,2,2,1,1] => [[4,3,2,2,2,2,1,1],[]]
[4,3,2,2,2,1,1,1,1] => [[4,3,2,2,2,1,1,1,1],[]]
[4,3,2,2,1,1,1,1,1,1] => [[4,3,2,2,1,1,1,1,1,1],[]]
[4,3,2,1,1,1,1,1,1,1,1] => [[4,3,2,1,1,1,1,1,1,1,1],[]]
[4,3,1,1,1,1,1,1,1,1,1,1] => [[4,3,1,1,1,1,1,1,1,1,1,1],[]]
[4,2,2,2,2,2,2,1] => [[4,2,2,2,2,2,2,1],[]]
[4,2,2,2,2,2,1,1,1] => [[4,2,2,2,2,2,1,1,1],[]]
[4,2,2,2,2,1,1,1,1,1] => [[4,2,2,2,2,1,1,1,1,1],[]]
[4,2,2,2,1,1,1,1,1,1,1] => [[4,2,2,2,1,1,1,1,1,1,1],[]]
[4,2,2,1,1,1,1,1,1,1,1,1] => [[4,2,2,1,1,1,1,1,1,1,1,1],[]]
[4,2,1,1,1,1,1,1,1,1,1,1,1] => [[4,2,1,1,1,1,1,1,1,1,1,1,1],[]]
[4,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[4,1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[3,3,3,3,3,2] => [[3,3,3,3,3,2],[]]
[3,3,3,3,3,1,1] => [[3,3,3,3,3,1,1],[]]
[3,3,3,3,2,2,1] => [[3,3,3,3,2,2,1],[]]
[3,3,3,3,2,1,1,1] => [[3,3,3,3,2,1,1,1],[]]
[3,3,3,3,1,1,1,1,1] => [[3,3,3,3,1,1,1,1,1],[]]
[3,3,3,2,2,2,2] => [[3,3,3,2,2,2,2],[]]
[3,3,3,2,2,2,1,1] => [[3,3,3,2,2,2,1,1],[]]
[3,3,3,2,2,1,1,1,1] => [[3,3,3,2,2,1,1,1,1],[]]
[3,3,3,2,1,1,1,1,1,1] => [[3,3,3,2,1,1,1,1,1,1],[]]
[3,3,3,1,1,1,1,1,1,1,1] => [[3,3,3,1,1,1,1,1,1,1,1],[]]
[3,3,2,2,2,2,2,1] => [[3,3,2,2,2,2,2,1],[]]
[3,3,2,2,2,2,1,1,1] => [[3,3,2,2,2,2,1,1,1],[]]
[3,3,2,2,2,1,1,1,1,1] => [[3,3,2,2,2,1,1,1,1,1],[]]
[3,3,2,2,1,1,1,1,1,1,1] => [[3,3,2,2,1,1,1,1,1,1,1],[]]
[3,3,2,1,1,1,1,1,1,1,1,1] => [[3,3,2,1,1,1,1,1,1,1,1,1],[]]
[3,3,1,1,1,1,1,1,1,1,1,1,1] => [[3,3,1,1,1,1,1,1,1,1,1,1,1],[]]
[3,2,2,2,2,2,2,2] => [[3,2,2,2,2,2,2,2],[]]
[3,2,2,2,2,2,2,1,1] => [[3,2,2,2,2,2,2,1,1],[]]
[3,2,2,2,2,2,1,1,1,1] => [[3,2,2,2,2,2,1,1,1,1],[]]
[3,2,2,2,2,1,1,1,1,1,1] => [[3,2,2,2,2,1,1,1,1,1,1],[]]
[3,2,2,2,1,1,1,1,1,1,1,1] => [[3,2,2,2,1,1,1,1,1,1,1,1],[]]
[3,2,2,1,1,1,1,1,1,1,1,1,1] => [[3,2,2,1,1,1,1,1,1,1,1,1,1],[]]
[3,2,1,1,1,1,1,1,1,1,1,1,1,1] => [[3,2,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[3,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[3,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[2,2,2,2,2,2,2,2,1] => [[2,2,2,2,2,2,2,2,1],[]]
[2,2,2,2,2,2,2,1,1,1] => [[2,2,2,2,2,2,2,1,1,1],[]]
[2,2,2,2,2,2,1,1,1,1,1] => [[2,2,2,2,2,2,1,1,1,1,1],[]]
[2,2,2,2,2,1,1,1,1,1,1,1] => [[2,2,2,2,2,1,1,1,1,1,1,1],[]]
[2,2,2,2,1,1,1,1,1,1,1,1,1] => [[2,2,2,2,1,1,1,1,1,1,1,1,1],[]]
[2,2,2,1,1,1,1,1,1,1,1,1,1,1] => [[2,2,2,1,1,1,1,1,1,1,1,1,1,1],[]]
[2,2,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[2,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => [[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[]]
[4,4,4,3,2,1] => [[4,4,4,3,2,1],[]]
[5,4,3,3,2,1] => [[5,4,3,3,2,1],[]]
[6,3,3,3,2,1] => [[6,3,3,3,2,1],[]]
[5,4,4,2,2,1] => [[5,4,4,2,2,1],[]]
[5,5,3,2,2,1] => [[5,5,3,2,2,1],[]]
[6,4,3,2,2,1] => [[6,4,3,2,2,1],[]]
[6,5,2,2,2,1] => [[6,5,2,2,2,1],[]]
[5,4,4,3,1,1] => [[5,4,4,3,1,1],[]]
[5,5,3,3,1,1] => [[5,5,3,3,1,1],[]]
[6,4,3,3,1,1] => [[6,4,3,3,1,1],[]]
[5,5,4,2,1,1] => [[5,5,4,2,1,1],[]]
[6,4,4,2,1,1] => [[6,4,4,2,1,1],[]]
[6,5,3,2,1,1] => [[6,5,3,2,1,1],[]]
[6,5,4,1,1,1] => [[6,5,4,1,1,1],[]]
[5,4,4,3,2] => [[5,4,4,3,2],[]]
[5,5,3,3,2] => [[5,5,3,3,2],[]]
[6,4,3,3,2] => [[6,4,3,3,2],[]]
[5,5,4,2,2] => [[5,5,4,2,2],[]]
[6,4,4,2,2] => [[6,4,4,2,2],[]]
[6,5,3,2,2] => [[6,5,3,2,2],[]]
[5,5,4,3,1] => [[5,5,4,3,1],[]]
[6,4,4,3,1] => [[6,4,4,3,1],[]]
[6,5,3,3,1] => [[6,5,3,3,1],[]]
[6,5,4,2,1] => [[6,5,4,2,1],[]]
[6,5,4,3] => [[6,5,4,3],[]]
[3,3,3,3,3,2,1] => [[3,3,3,3,3,2,1],[]]
[7,2,2,2,2,2,1] => [[7,2,2,2,2,2,1],[]]
[6,4,3,2,1,1,1] => [[6,4,3,2,1,1,1],[]]
[6,6,2,1,1,1,1] => [[6,6,2,1,1,1,1],[]]
[7,6,1,1,1,1,1] => [[7,6,1,1,1,1,1],[]]
[4,3,3,3,3,2] => [[4,3,3,3,3,2],[]]
[5,4,3,2,2,2] => [[5,4,3,2,2,2],[]]
[7,4,3,2,1,1] => [[7,4,3,2,1,1],[]]
[5,4,3,3,3] => [[5,4,3,3,3],[]]
[4,4,4,4,2] => [[4,4,4,4,2],[]]
[6,6,3,2,1] => [[6,6,3,2,1],[]]
[7,6,5] => [[7,6,5],[]]
[2,2,2,2,2,2,2,2,2] => [[2,2,2,2,2,2,2,2,2],[]]
[3,3,3,3,3,3] => [[3,3,3,3,3,3],[]]
[6,2,2,2,2,2,2] => [[6,2,2,2,2,2,2],[]]
[6,6,6] => [[6,6,6],[]]
[10,4,4] => [[10,4,4],[]]
[9,6,3] => [[9,6,3],[]]
[8,6,4] => [[8,6,4],[]]
[3,3,3,3,1,1,1,1,1,1] => [[3,3,3,3,1,1,1,1,1,1],[]]
[9,9] => [[9,9],[]]
[7,7,1,1,1,1] => [[7,7,1,1,1,1],[]]
[5,4,3,2,1,1,1,1] => [[5,4,3,2,1,1,1,1],[]]
[5,4,4,3,2,1] => [[5,4,4,3,2,1],[]]
[5,5,3,3,2,1] => [[5,5,3,3,2,1],[]]
[6,4,3,3,2,1] => [[6,4,3,3,2,1],[]]
[5,5,4,2,2,1] => [[5,5,4,2,2,1],[]]
[6,4,4,2,2,1] => [[6,4,4,2,2,1],[]]
[6,5,3,2,2,1] => [[6,5,3,2,2,1],[]]
[5,5,4,3,1,1] => [[5,5,4,3,1,1],[]]
[6,4,4,3,1,1] => [[6,4,4,3,1,1],[]]
[6,5,3,3,1,1] => [[6,5,3,3,1,1],[]]
[6,5,4,2,1,1] => [[6,5,4,2,1,1],[]]
[5,5,4,3,2] => [[5,5,4,3,2],[]]
[6,4,4,3,2] => [[6,4,4,3,2],[]]
[6,5,3,3,2] => [[6,5,3,3,2],[]]
[6,5,4,2,2] => [[6,5,4,2,2],[]]
[6,5,4,3,1] => [[6,5,4,3,1],[]]
[5,4,3,2,2,2,1] => [[5,4,3,2,2,2,1],[]]
[7,4,3,2,1,1,1] => [[7,4,3,2,1,1,1],[]]
[6,5,4,1,1,1,1] => [[6,5,4,1,1,1,1],[]]
[4,4,4,3,2,2] => [[4,4,4,3,2,2],[]]
[4,4,4,4,2,1] => [[4,4,4,4,2,1],[]]
[7,3,3,3,2,1] => [[7,3,3,3,2,1],[]]
[7,3,3,3,3] => [[7,3,3,3,3],[]]
[6,6,4,2,1] => [[6,6,4,2,1],[]]
[7,5,4,2,1] => [[7,5,4,2,1],[]]
[7,6,3,2,1] => [[7,6,3,2,1],[]]
[7,5,4,3] => [[7,5,4,3],[]]
[3,3,3,3,3,3,1] => [[3,3,3,3,3,3,1],[]]
[3,3,3,3,3,2,2] => [[3,3,3,3,3,2,2],[]]
[4,3,3,3,3,3] => [[4,3,3,3,3,3],[]]
[7,6,6] => [[7,6,6],[]]
[9,6,4] => [[9,6,4],[]]
[8,5,4,2] => [[8,5,4,2],[]]
[8,5,5,1] => [[8,5,5,1],[]]
[5,4,3,2,1,1,1,1,1] => [[5,4,3,2,1,1,1,1,1],[]]
[6,6,6,1] => [[6,6,6,1],[]]
[5,5,4,3,2,1] => [[5,5,4,3,2,1],[]]
[6,4,4,3,2,1] => [[6,4,4,3,2,1],[]]
[6,5,3,3,2,1] => [[6,5,3,3,2,1],[]]
[6,5,4,2,2,1] => [[6,5,4,2,2,1],[]]
[6,5,4,3,1,1] => [[6,5,4,3,1,1],[]]
[6,5,4,3,2] => [[6,5,4,3,2],[]]
[6,4,3,2,2,2,1] => [[6,4,3,2,2,2,1],[]]
[6,5,2,2,2,2,1] => [[6,5,2,2,2,2,1],[]]
[4,4,4,4,2,1,1] => [[4,4,4,4,2,1,1],[]]
[5,4,4,3,2,1,1] => [[5,4,4,3,2,1,1],[]]
[5,5,5,2,1,1,1] => [[5,5,5,2,1,1,1],[]]
[6,5,4,2,1,1,1] => [[6,5,4,2,1,1,1],[]]
[5,4,3,3,3,2] => [[5,4,3,3,3,2],[]]
[6,6,2,2,2,2] => [[6,6,2,2,2,2],[]]
[4,4,4,4,3,1] => [[4,4,4,4,3,1],[]]
[7,4,3,3,2,1] => [[7,4,3,3,2,1],[]]
[7,6,2,2,2,1] => [[7,6,2,2,2,1],[]]
[7,6,3,2,1,1] => [[7,6,3,2,1,1],[]]
[5,4,4,4,3] => [[5,4,4,4,3],[]]
[7,5,4,3,1] => [[7,5,4,3,1],[]]
[6,6,5,2,1] => [[6,6,5,2,1],[]]
[7,6,4,2,1] => [[7,6,4,2,1],[]]
[6,5,5,4] => [[6,5,5,4],[]]
[7,6,4,3] => [[7,6,4,3],[]]
[7,6,5,2] => [[7,6,5,2],[]]
[2,2,2,2,2,2,2,2,2,2] => [[2,2,2,2,2,2,2,2,2,2],[]]
[4,4,4,4,4] => [[4,4,4,4,4],[]]
[5,5,5,5] => [[5,5,5,5],[]]
[10,10] => [[10,10],[]]
[8,2,2,2,2,2,2] => [[8,2,2,2,2,2,2],[]]
[8,6,4,2] => [[8,6,4,2],[]]
[10,6,4] => [[10,6,4],[]]
[10,7,3] => [[10,7,3],[]]
[9,7,4] => [[9,7,4],[]]
[9,5,5,1] => [[9,5,5,1],[]]
[7,7,1,1,1,1,1,1] => [[7,7,1,1,1,1,1,1],[]]
[5,4,3,2,2,2,2] => [[5,4,3,2,2,2,2],[]]
[8,7,5] => [[8,7,5],[]]
[6,6,6,1,1] => [[6,6,6,1,1],[]]
[6,5,4,3,2,1] => [[6,5,4,3,2,1],[]]
[5,4,3,3,3,2,1] => [[5,4,3,3,3,2,1],[]]
[6,3,3,3,3,2,1] => [[6,3,3,3,3,2,1],[]]
[6,5,3,2,2,2,1] => [[6,5,3,2,2,2,1],[]]
[5,5,4,3,2,1,1] => [[5,5,4,3,2,1,1],[]]
[6,5,4,3,1,1,1] => [[6,5,4,3,1,1,1],[]]
[7,5,4,2,1,1,1] => [[7,5,4,2,1,1,1],[]]
[7,6,3,2,1,1,1] => [[7,6,3,2,1,1,1],[]]
[6,5,4,2,2,2] => [[6,5,4,2,2,2],[]]
[5,5,5,3,2,1] => [[5,5,5,3,2,1],[]]
[7,4,4,3,2,1] => [[7,4,4,3,2,1],[]]
[7,6,3,2,2,1] => [[7,6,3,2,2,1],[]]
[7,6,5,1,1,1] => [[7,6,5,1,1,1],[]]
[7,5,4,3,2] => [[7,5,4,3,2],[]]
[7,6,5,2,1] => [[7,6,5,2,1],[]]
[7,6,5,3] => [[7,6,5,3],[]]
[3,3,3,3,3,3,3] => [[3,3,3,3,3,3,3],[]]
[4,4,4,3,3,3] => [[4,4,4,3,3,3],[]]
[11,7,3] => [[11,7,3],[]]
[8,7,6] => [[8,7,6],[]]
[7,7,7] => [[7,7,7],[]]
[6,5,5,5] => [[6,5,5,5],[]]
[5,4,4,4,4] => [[5,4,4,4,4],[]]
[4,4,4,4,4,1] => [[4,4,4,4,4,1],[]]
[5,5,5,5,1] => [[5,5,5,5,1],[]]
[4,4,4,4,3,2,1] => [[4,4,4,4,3,2,1],[]]
[6,4,3,3,3,2,1] => [[6,4,3,3,3,2,1],[]]
[5,5,4,3,2,2,1] => [[5,5,4,3,2,2,1],[]]
[6,5,4,2,2,2,1] => [[6,5,4,2,2,2,1],[]]
[6,5,4,3,2,1,1] => [[6,5,4,3,2,1,1],[]]
[6,5,4,3,2,2] => [[6,5,4,3,2,2],[]]
[5,5,5,4,2,1] => [[5,5,5,4,2,1],[]]
[6,6,4,3,2,1] => [[6,6,4,3,2,1],[]]
[7,5,4,3,2,1] => [[7,5,4,3,2,1],[]]
[7,6,3,3,2,1] => [[7,6,3,3,2,1],[]]
[7,6,5,2,1,1] => [[7,6,5,2,1,1],[]]
[7,6,4,3,2] => [[7,6,4,3,2],[]]
[7,6,5,4] => [[7,6,5,4],[]]
[9,6,4,3] => [[9,6,4,3],[]]
[6,5,4,3,1,1,1,1] => [[6,5,4,3,1,1,1,1],[]]
[5,4,3,3,3,3,1] => [[5,4,3,3,3,3,1],[]]
[5,4,4,4,3,2,1] => [[5,4,4,4,3,2,1],[]]
[6,5,3,3,3,2,1] => [[6,5,3,3,3,2,1],[]]
[6,5,4,3,2,2,1] => [[6,5,4,3,2,2,1],[]]
[6,5,5,4,1,1,1] => [[6,5,5,4,1,1,1],[]]
[7,6,5,2,1,1,1] => [[7,6,5,2,1,1,1],[]]
[6,5,4,3,3,2] => [[6,5,4,3,3,2],[]]
[6,6,5,3,2,1] => [[6,6,5,3,2,1],[]]
[7,6,4,3,2,1] => [[7,6,4,3,2,1],[]]
[7,6,5,2,2,1] => [[7,6,5,2,2,1],[]]
[6,5,5,4,3] => [[6,5,5,4,3],[]]
[7,6,5,3,2] => [[7,6,5,3,2],[]]
[7,6,5,4,1] => [[7,6,5,4,1],[]]
[9,6,5,3] => [[9,6,5,3],[]]
[8,6,5,3,1] => [[8,6,5,3,1],[]]
[8,5,4,3,2,1] => [[8,5,4,3,2,1],[]]
[6,5,4,3,2,1,1,1] => [[6,5,4,3,2,1,1,1],[]]
[5,5,4,4,3,2,1] => [[5,5,4,4,3,2,1],[]]
[6,4,4,4,3,2,1] => [[6,4,4,4,3,2,1],[]]
[6,5,4,3,3,2,1] => [[6,5,4,3,3,2,1],[]]
[6,5,4,4,2,2,1] => [[6,5,4,4,2,2,1],[]]
[6,5,5,4,2,1,1] => [[6,5,5,4,2,1,1],[]]
[5,5,5,4,3,2] => [[5,5,5,4,3,2],[]]
[6,5,4,4,3,2] => [[6,5,4,4,3,2],[]]
[7,6,5,2,2,2] => [[7,6,5,2,2,2],[]]
[6,5,5,4,3,1] => [[6,5,5,4,3,1],[]]
[7,6,5,3,2,1] => [[7,6,5,3,2,1],[]]
[7,6,5,4,1,1] => [[7,6,5,4,1,1],[]]
[6,6,5,4,3] => [[6,6,5,4,3],[]]
[7,6,5,4,2] => [[7,6,5,4,2],[]]
[3,3,3,3,3,3,3,3] => [[3,3,3,3,3,3,3,3],[]]
[4,4,4,4,4,4] => [[4,4,4,4,4,4],[]]
[6,6,6,6] => [[6,6,6,6],[]]
[9,8,7] => [[9,8,7],[]]
[11,7,5,1] => [[11,7,5,1],[]]
[9,7,5,3] => [[9,7,5,3],[]]
[4,3,3,3,3,2,2,1,1,1,1] => [[4,3,3,3,3,2,2,1,1,1,1],[]]
[8,8,8] => [[8,8,8],[]]
[6,5,4,3,2,1,1,1,1] => [[6,5,4,3,2,1,1,1,1],[]]
[7,5,4,3,2,1,1,1] => [[7,5,4,3,2,1,1,1],[]]
[5,4,4,4,4,2,1] => [[5,4,4,4,4,2,1],[]]
[7,7,4,3,2,1] => [[7,7,4,3,2,1],[]]
[6,5,4,3,2,2,2] => [[6,5,4,3,2,2,2],[]]
[8,5,4,3,2,1,1] => [[8,5,4,3,2,1,1],[]]
[5,5,5,4,3,2,1] => [[5,5,5,4,3,2,1],[]]
[6,5,4,4,3,2,1] => [[6,5,4,4,3,2,1],[]]
[7,4,4,4,3,2,1] => [[7,4,4,4,3,2,1],[]]
[6,5,5,4,2,2,1] => [[6,5,5,4,2,2,1],[]]
[7,6,5,2,2,2,1] => [[7,6,5,2,2,2,1],[]]
[6,5,5,4,3,1,1] => [[6,5,5,4,3,1,1],[]]
[6,6,5,4,2,1,1] => [[6,6,5,4,2,1,1],[]]
[7,6,5,4,1,1,1] => [[7,6,5,4,1,1,1],[]]
[6,5,5,4,3,2] => [[6,5,5,4,3,2],[]]
[6,6,5,4,3,1] => [[6,6,5,4,3,1],[]]
[7,6,5,4,2,1] => [[7,6,5,4,2,1],[]]
[7,6,5,4,3] => [[7,6,5,4,3],[]]
[15,5,5] => [[15,5,5],[]]
[9,7,5,3,1] => [[9,7,5,3,1],[]]
[10,7,5,3] => [[10,7,5,3],[]]
[3,3,3,3,3,1,1,1,1,1,1,1,1,1,1] => [[3,3,3,3,3,1,1,1,1,1,1,1,1,1,1],[]]
[5,4,4,3,3,2,2,1,1] => [[5,4,4,3,3,2,2,1,1],[]]
[5,5,5,5,5] => [[5,5,5,5,5],[]]
[8,7,4,3,2,1] => [[8,7,4,3,2,1],[]]
[6,5,4,3,2,2,2,1] => [[6,5,4,3,2,2,2,1],[]]
[8,7,6,4] => [[8,7,6,4],[]]
[6,5,5,4,3,2,1] => [[6,5,5,4,3,2,1],[]]
[6,6,4,4,3,2,1] => [[6,6,4,4,3,2,1],[]]
[7,5,4,4,3,2,1] => [[7,5,4,4,3,2,1],[]]
[6,6,5,3,3,2,1] => [[6,6,5,3,3,2,1],[]]
[6,6,5,4,2,2,1] => [[6,6,5,4,2,2,1],[]]
[6,6,5,4,3,1,1] => [[6,6,5,4,3,1,1],[]]
[6,6,5,4,3,2] => [[6,6,5,4,3,2],[]]
[7,5,5,4,3,2] => [[7,5,5,4,3,2],[]]
[7,6,4,4,3,2] => [[7,6,4,4,3,2],[]]
[7,6,5,4,3,1] => [[7,6,5,4,3,1],[]]
[9,7,5,4,1] => [[9,7,5,4,1],[]]
[5,5,5,5,3,2,1] => [[5,5,5,5,3,2,1],[]]
[8,7,6,5] => [[8,7,6,5],[]]
[6,6,5,4,3,2,1] => [[6,6,5,4,3,2,1],[]]
[7,5,5,4,3,2,1] => [[7,5,5,4,3,2,1],[]]
[7,6,4,4,3,2,1] => [[7,6,4,4,3,2,1],[]]
[7,6,5,4,3,1,1] => [[7,6,5,4,3,1,1],[]]
[7,6,5,4,3,2] => [[7,6,5,4,3,2],[]]
[7,6,4,3,2,2,2,1] => [[7,6,4,3,2,2,2,1],[]]
[6,5,4,3,3,3,2,1] => [[6,5,4,3,3,3,2,1],[]]
[8,7,6,3,2,1] => [[8,7,6,3,2,1],[]]
[7,6,5,4,3,2,1] => [[7,6,5,4,3,2,1],[]]
[7,7,7,7] => [[7,7,7,7],[]]
[7,6,5,4,3,1,1,1] => [[7,6,5,4,3,1,1,1],[]]
[8,5,5,4,3,2,1] => [[8,5,5,4,3,2,1],[]]
[10,7,6,4,1] => [[10,7,6,4,1],[]]
[9,7,6,4,2] => [[9,7,6,4,2],[]]
[10,8,5,4,1] => [[10,8,5,4,1],[]]
[4,4,4,4,4,4,4] => [[4,4,4,4,4,4,4],[]]
[8,6,5,4,3,2] => [[8,6,5,4,3,2],[]]
[6,6,6,4,3,2,1] => [[6,6,6,4,3,2,1],[]]
[6,6,5,4,3,2,1,1] => [[6,6,5,4,3,2,1,1],[]]
[7,6,5,4,3,2,1,1] => [[7,6,5,4,3,2,1,1],[]]
[7,6,5,4,2,2,2,1] => [[7,6,5,4,2,2,2,1],[]]
[8,6,5,4,3,2,1] => [[8,6,5,4,3,2,1],[]]
[8,7,4,4,3,2,1] => [[8,7,4,4,3,2,1],[]]
[10,8,6,4,1] => [[10,8,6,4,1],[]]
[6,5,4,4,4,3,2,1] => [[6,5,4,4,4,3,2,1],[]]
[8,7,6,5,2,1] => [[8,7,6,5,2,1],[]]
[8,7,6,5,3] => [[8,7,6,5,3],[]]
[7,7,5,4,3,2,1] => [[7,7,5,4,3,2,1],[]]
[7,6,5,4,3,2,2] => [[7,6,5,4,3,2,2],[]]
[6,6,6,6,6] => [[6,6,6,6,6],[]]
[15,15] => [[15,15],[]]
[5,5,5,5,5,5] => [[5,5,5,5,5,5],[]]
[9,7,5,5,3,1] => [[9,7,5,5,3,1],[]]
[7,6,5,4,3,2,2,1] => [[7,6,5,4,3,2,2,1],[]]
[7,6,5,3,3,3,2,1] => [[7,6,5,3,3,3,2,1],[]]
[8,7,5,4,3,2,1] => [[8,7,5,4,3,2,1],[]]
[8,7,6,3,3,2,1] => [[8,7,6,3,3,2,1],[]]
[11,8,6,4,1] => [[11,8,6,4,1],[]]
[10,8,6,4,2] => [[10,8,6,4,2],[]]
[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => [[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[]]
[6,5,5,4,4,2,2,1,1] => [[6,5,5,4,4,2,2,1,1],[]]
[7,6,5,4,3,2,1,1,1] => [[7,6,5,4,3,2,1,1,1],[]]
[8,7,6,5,4] => [[8,7,6,5,4],[]]
[9,8,7,6] => [[9,8,7,6],[]]
[7,6,5,4,3,3,2,1] => [[7,6,5,4,3,3,2,1],[]]
[7,6,4,4,4,3,2,1] => [[7,6,4,4,4,3,2,1],[]]
[8,7,6,4,3,2,1] => [[8,7,6,4,3,2,1],[]]
[8,7,6,5,2,2,1] => [[8,7,6,5,2,2,1],[]]
[11,8,6,5,1] => [[11,8,6,5,1],[]]
[6,5,5,5,4,3,2,1] => [[6,5,5,5,4,3,2,1],[]]
[8,7,6,5,4,1] => [[8,7,6,5,4,1],[]]
[7,7,6,5,3,2,1] => [[7,7,6,5,3,2,1],[]]
[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2] => [[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[]]
[7,6,5,4,4,3,2,1] => [[7,6,5,4,4,3,2,1],[]]
[7,5,5,5,4,3,2,1] => [[7,5,5,5,4,3,2,1],[]]
[8,7,6,5,3,2,1] => [[8,7,6,5,3,2,1],[]]
[8,7,6,5,4,1,1] => [[8,7,6,5,4,1,1],[]]
[16,16] => [[16,16],[]]
[7,6,5,5,4,2,2,1] => [[7,6,5,5,4,2,2,1],[]]
[7,6,6,5,4,3,1] => [[7,6,6,5,4,3,1],[]]
[8,7,6,5,4,2] => [[8,7,6,5,4,2],[]]
[7,6,5,5,4,3,2,1] => [[7,6,5,5,4,3,2,1],[]]
[6,6,6,5,4,3,2,1] => [[6,6,6,5,4,3,2,1],[]]
[8,7,6,5,4,2,1] => [[8,7,6,5,4,2,1],[]]
[8,7,6,5,4,3] => [[8,7,6,5,4,3],[]]
[7,6,6,5,4,3,1,1] => [[7,6,6,5,4,3,1,1],[]]
[7,6,6,5,4,3,2] => [[7,6,6,5,4,3,2],[]]
[7,7,6,5,4,3,1] => [[7,7,6,5,4,3,1],[]]
[8,7,6,5,3,2,1,1] => [[8,7,6,5,3,2,1,1],[]]
[8,7,6,5,3,2,2] => [[8,7,6,5,3,2,2],[]]
[8,7,6,5,4,1,1,1] => [[8,7,6,5,4,1,1,1],[]]
[7,6,6,5,4,3,2,1] => [[7,6,6,5,4,3,2,1],[]]
[8,7,6,5,4,3,1] => [[8,7,6,5,4,3,1],[]]
[12,9,7,5,1] => [[12,9,7,5,1],[]]
[7,7,6,5,4,3,2] => [[7,7,6,5,4,3,2],[]]
[7,7,6,5,4,3,1,1] => [[7,7,6,5,4,3,1,1],[]]
[8,7,6,5,3,2,2,1] => [[8,7,6,5,3,2,2,1],[]]
[8,7,6,5,3,3,1,1] => [[8,7,6,5,3,3,1,1],[]]
[8,6,6,5,4,3,2] => [[8,6,6,5,4,3,2],[]]
[7,7,5,5,4,3,2,1] => [[7,7,5,5,4,3,2,1],[]]
[7,7,6,5,4,3,2,1] => [[7,7,6,5,4,3,2,1],[]]
[8,7,6,5,4,3,2] => [[8,7,6,5,4,3,2],[]]
[13,9,7,5,1] => [[13,9,7,5,1],[]]
[8,7,6,5,3,3,2,1] => [[8,7,6,5,3,3,2,1],[]]
[8,7,6,5,4,2,2,1] => [[8,7,6,5,4,2,2,1],[]]
[9,8,7,6,5] => [[9,8,7,6,5],[]]
[11,9,7,5,3,1] => [[11,9,7,5,3,1],[]]
[11,8,7,5,4,1] => [[11,8,7,5,4,1],[]]
[8,7,6,5,4,3,2,1] => [[8,7,6,5,4,3,2,1],[]]
[6,5,5,4,4,3,3,2,2,1,1] => [[6,5,5,4,4,3,3,2,2,1,1],[]]
[6,5,5,5,4,3,3,2,1,1,1] => [[6,5,5,5,4,3,3,2,1,1,1],[]]
[8,7,6,5,4,3,2,1,1] => [[8,7,6,5,4,3,2,1,1],[]]
[9,7,6,5,4,3,2,1] => [[9,7,6,5,4,3,2,1],[]]
[8,7,6,5,4,3,2,2,1] => [[8,7,6,5,4,3,2,2,1],[]]
[9,8,6,5,4,3,2,1] => [[9,8,6,5,4,3,2,1],[]]
[8,7,6,5,4,3,3,2,1] => [[8,7,6,5,4,3,3,2,1],[]]
[9,8,7,5,4,3,2,1] => [[9,8,7,5,4,3,2,1],[]]
[9,8,7,6,5,4] => [[9,8,7,6,5,4],[]]
[10,10,10,10] => [[10,10,10,10],[]]
[8,7,6,5,4,4,3,2,1] => [[8,7,6,5,4,4,3,2,1],[]]
[9,8,7,6,4,3,2,1] => [[9,8,7,6,4,3,2,1],[]]
[11,9,7,5,5,3] => [[11,9,7,5,5,3],[]]
[4,4,4,4,4,4,4,4,4,4] => [[4,4,4,4,4,4,4,4,4,4],[]]
[8,7,6,5,5,4,3,2,1] => [[8,7,6,5,5,4,3,2,1],[]]
[9,8,7,6,5,3,2,1] => [[9,8,7,6,5,3,2,1],[]]
[8,7,6,6,5,4,3,2,1] => [[8,7,6,6,5,4,3,2,1],[]]
[9,8,7,6,5,4,2,1] => [[9,8,7,6,5,4,2,1],[]]
[8,7,7,6,5,4,3,2] => [[8,7,7,6,5,4,3,2],[]]
[9,7,6,5,5,4,3,2,1] => [[9,7,6,5,5,4,3,2,1],[]]
[9,8,7,6,5,4,3] => [[9,8,7,6,5,4,3],[]]
[8,7,7,6,5,4,3,2,1] => [[8,7,7,6,5,4,3,2,1],[]]
[9,8,7,6,5,4,3,1] => [[9,8,7,6,5,4,3,1],[]]
[8,8,7,6,5,4,3,2] => [[8,8,7,6,5,4,3,2],[]]
[9,8,6,5,5,4,3,2,1] => [[9,8,6,5,5,4,3,2,1],[]]
[8,8,7,6,5,4,3,2,1] => [[8,8,7,6,5,4,3,2,1],[]]
[9,8,7,6,5,4,3,2] => [[9,8,7,6,5,4,3,2],[]]
[9,8,7,5,5,4,3,2,1] => [[9,8,7,5,5,4,3,2,1],[]]
[9,8,7,6,5,4,3,2,1] => [[9,8,7,6,5,4,3,2,1],[]]
[11,9,7,7,5,3,3] => [[11,9,7,7,5,3,3],[]]
[9,8,8,7,6,5,4,3,2,1] => [[9,8,8,7,6,5,4,3,2,1],[]]
[9,9,8,7,6,5,4,3,2,1] => [[9,9,8,7,6,5,4,3,2,1],[]]
[10,9,8,7,6,5,4,3,2] => [[10,9,8,7,6,5,4,3,2],[]]
[5,5,5,5,5,5,5,5,5,5,5,5] => [[5,5,5,5,5,5,5,5,5,5,5,5],[]]
[12,12,12,12,12] => [[12,12,12,12,12],[]]
[5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5] => [[5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5],[]]
[24,24,24,24,24] => [[24,24,24,24,24],[]]
Identities
click to show experimental identities
(only identities of compositions of up to three maps are shown)
Inverses
Mp00182outer shape ∘ Mp00179to skew partition = id : Integer partitions ⟶ Integer partitions
Mp00186dominating partition ∘ Mp00179to skew partition = id : Integer partitions ⟶ Integer partitions
Intertwining relations
Mp00187conjugate ∘ Mp00179to skew partition = Mp00179to skew partition ∘ Mp00044conjugate : Integer partitions ⟶ Skew partitions
Absorbing relations
Mp00185cell poset ∘ Mp00179to skew partition ∘ Mp00044conjugate = Mp00185cell poset ∘ Mp00179to skew partition : Integer partitions ⟶ Posets
Mp00183inner shape ∘ Mp00189rotate ∘ Mp00179to skew partition ∘ Mp00182outer shape = Mp00183inner shape ∘ Mp00189rotate : Skew partitions ⟶ Integer partitions
Constant maps
Mp00183inner shape ∘ Mp00179to skew partition = const : Integer partitions ⟶ Integer partitions
Mp00192dominating sublattice ∘ Mp00179to skew partition = const : Integer partitions ⟶ Lattices
Other relations
Mp00181row lengths ∘ Mp00179to skew partition = Mp00207horizontal strip sizes ∘ Mp00042initial tableau : Integer partitions ⟶ Integer compositions
Mp00233skew partition ∘ Mp00230parallelogram polyomino = Mp00179to skew partition ∘ Mp00044conjugate : Integer partitions ⟶ Skew partitions
Mp00233skew partition ∘ Mp00028reverse ∘ Mp00230parallelogram polyomino = Mp00189rotate ∘ Mp00179to skew partition ∘ Mp00044conjugate : Integer partitions ⟶ Skew partitions
Description
The partition regarded as a skew partition.
Properties
injective, graded
Sage code
def mapping(la):
return SkewPartition((la, []))
Weight
26
Created
Sep 22, 2020 at 11:07 by Martin Rubey
Updated
Sep 22, 2020 at 11:07 by Martin Rubey
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