Identifier
Mp00294:
Standard tableaux
—peak composition⟶
Integer compositions
Mp00184: Integer compositions —to threshold graph⟶ Graphs
Mp00184: Integer compositions —to threshold graph⟶ Graphs
Images
[[1]] => [1] => ([],1)
[[1,2]] => [2] => ([],2)
[[1],[2]] => [2] => ([],2)
[[1,2,3]] => [3] => ([],3)
[[1,3],[2]] => [3] => ([],3)
[[1,2],[3]] => [2,1] => ([(0,2),(1,2)],3)
[[1],[2],[3]] => [3] => ([],3)
[[1,2,3,4]] => [4] => ([],4)
[[1,3,4],[2]] => [4] => ([],4)
[[1,2,4],[3]] => [2,2] => ([(1,3),(2,3)],4)
[[1,2,3],[4]] => [3,1] => ([(0,3),(1,3),(2,3)],4)
[[1,3],[2,4]] => [3,1] => ([(0,3),(1,3),(2,3)],4)
[[1,2],[3,4]] => [2,2] => ([(1,3),(2,3)],4)
[[1,4],[2],[3]] => [4] => ([],4)
[[1,3],[2],[4]] => [3,1] => ([(0,3),(1,3),(2,3)],4)
[[1,2],[3],[4]] => [2,2] => ([(1,3),(2,3)],4)
[[1],[2],[3],[4]] => [4] => ([],4)
[[1,2,3,4,5]] => [5] => ([],5)
[[1,3,4,5],[2]] => [5] => ([],5)
[[1,2,4,5],[3]] => [2,3] => ([(2,4),(3,4)],5)
[[1,2,3,5],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5)
[[1,2,3,4],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5)
[[1,3,5],[2,4]] => [3,2] => ([(1,4),(2,4),(3,4)],5)
[[1,2,5],[3,4]] => [2,3] => ([(2,4),(3,4)],5)
[[1,3,4],[2,5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5)
[[1,2,4],[3,5]] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[[1,2,3],[4,5]] => [3,2] => ([(1,4),(2,4),(3,4)],5)
[[1,4,5],[2],[3]] => [5] => ([],5)
[[1,3,5],[2],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5)
[[1,2,5],[3],[4]] => [2,3] => ([(2,4),(3,4)],5)
[[1,3,4],[2],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5)
[[1,2,4],[3],[5]] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[[1,2,3],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5)
[[1,4],[2,5],[3]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5)
[[1,3],[2,5],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5)
[[1,2],[3,5],[4]] => [2,3] => ([(2,4),(3,4)],5)
[[1,3],[2,4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5)
[[1,2],[3,4],[5]] => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
[[1,5],[2],[3],[4]] => [5] => ([],5)
[[1,4],[2],[3],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5)
[[1,3],[2],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5)
[[1,2],[3],[4],[5]] => [2,3] => ([(2,4),(3,4)],5)
[[1],[2],[3],[4],[5]] => [5] => ([],5)
[[1,2,3,4,5,6]] => [6] => ([],6)
[[1,3,4,5,6],[2]] => [6] => ([],6)
[[1,2,4,5,6],[3]] => [2,4] => ([(3,5),(4,5)],6)
[[1,2,3,5,6],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,2,3,4,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,2,3,4,5],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[[1,3,5,6],[2,4]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,2,5,6],[3,4]] => [2,4] => ([(3,5),(4,5)],6)
[[1,3,4,6],[2,5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,2,4,6],[3,5]] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3,6],[4,5]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,3,4,5],[2,6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[[1,2,4,5],[3,6]] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3,5],[4,6]] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3,4],[5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,4,5,6],[2],[3]] => [6] => ([],6)
[[1,3,5,6],[2],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,2,5,6],[3],[4]] => [2,4] => ([(3,5),(4,5)],6)
[[1,3,4,6],[2],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,2,4,6],[3],[5]] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,3,4,5],[2],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[[1,2,4,5],[3],[6]] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3,5],[4],[6]] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3,4],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,3,5],[2,4,6]] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,5],[3,4,6]] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,4],[2,5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,2,4],[3,5,6]] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3],[4,5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6)
[[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,2,6],[3,4],[5]] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[[1,3,5],[2,6],[4]] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,5],[3,6],[4]] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,2,4],[3,6],[5]] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,3,5],[2,4],[6]] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,5],[3,4],[6]] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,2,4],[3,5],[6]] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3],[4,5],[6]] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,5,6],[2],[3],[4]] => [6] => ([],6)
[[1,4,6],[2],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,3,6],[2],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,2,6],[3],[4],[5]] => [2,4] => ([(3,5),(4,5)],6)
[[1,4,5],[2],[3],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[[1,3,5],[2],[4],[6]] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,5],[3],[4],[6]] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3,4],[2],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,2,4],[3],[5],[6]] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2,3],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,4],[2,5],[3,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,3],[2,5],[4,6]] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
>>> Load all 1921 entries. <<<
[[1,2],[3,5],[4,6]] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3],[2,4],[5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,2],[3,4],[5,6]] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,5],[2,6],[3],[4]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[[1,4],[2,6],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,3],[2,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,2],[3,6],[4],[5]] => [2,4] => ([(3,5),(4,5)],6)
[[1,4],[2,5],[3],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,3],[2,5],[4],[6]] => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,2],[3,5],[4],[6]] => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,3],[2,4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,2],[3,4],[5],[6]] => [2,2,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
[[1,6],[2],[3],[4],[5]] => [6] => ([],6)
[[1,5],[2],[3],[4],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[[1,4],[2],[3],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[1,3],[2],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6)
[[1,2],[3],[4],[5],[6]] => [2,4] => ([(3,5),(4,5)],6)
[[1],[2],[3],[4],[5],[6]] => [6] => ([],6)
[[1,2,3,4,5,6,7]] => [7] => ([],7)
[[1,3,4,5,6,7],[2]] => [7] => ([],7)
[[1,2,4,5,6,7],[3]] => [2,5] => ([(4,6),(5,6)],7)
[[1,2,3,5,6,7],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2,3,4,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,3,4,5,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,3,4,5,6],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7)
[[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,6,7],[3,5]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,5,7],[3,6]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,5,7],[4,6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,5,6],[3,7]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,5,6],[4,7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4,6],[5,7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,4,5,6,7],[2],[3]] => [7] => ([],7)
[[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7)
[[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,6,7],[3],[5]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,5,7],[3],[6]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,5,7],[4],[6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,5,6],[3],[7]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,5,6],[4],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4,6],[5],[7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5,7],[2,4,6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,7],[3,4,6]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,7],[3,5,6]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,3,5,6],[2,4,7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,6],[3,4,7]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,6],[2,5,7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4,6],[3,5,7]] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,6],[4,5,7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,5],[3,6,7]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,5],[4,6,7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7)
[[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2,6,7],[3,4],[5]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5,7],[2,6],[4]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,7],[3,6],[4]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,7],[3,6],[5]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,3,5,7],[2,4],[6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,7],[3,4],[6]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,7],[3,5],[6]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,7],[4,5],[6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5,6],[2,7],[4]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,6],[3,7],[4]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,6],[2,7],[5]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4,6],[3,7],[5]] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,6],[4,7],[5]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,5],[3,7],[6]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,5],[4,7],[6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5,6],[2,4],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,6],[3,4],[7]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,6],[2,5],[7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4,6],[3,5],[7]] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,6],[4,5],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,5],[3,6],[7]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,5],[4,6],[7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4],[5,6],[7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,5,6,7],[2],[3],[4]] => [7] => ([],7)
[[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7)
[[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5,7],[2],[4],[6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,7],[3],[4],[6]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,7],[3],[5],[6]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5,6],[2],[4],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5,6],[3],[4],[7]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,6],[2],[5],[7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4,6],[3],[5],[7]] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,6],[4],[5],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4,5],[3],[6],[7]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,5],[4],[6],[7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,4,6],[2,5,7],[3]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,5,7],[4]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,5,7],[4]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,4,7],[5]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,4,7],[5]] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5],[2,6,7],[4]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3,6,7],[4]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4],[3,6,7],[5]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,3,5],[2,4,7],[6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3,4,7],[6]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4],[3,5,7],[6]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4,5,7],[6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5],[2,4,6],[7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3,4,6],[7]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,5,6],[7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4],[3,5,6],[7]] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4,5,6],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,7],[2,5],[4,6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,7],[3,5],[4,6]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2,7],[3,4],[5,6]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,6],[2,5],[3,7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,5],[4,7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,5],[4,7]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,4],[5,7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,4],[5,7]] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5],[2,6],[4,7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3,6],[4,7]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,6],[5,7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4],[3,6],[5,7]] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4,6],[5,7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5],[2,4],[6,7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3,4],[6,7]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4],[3,5],[6,7]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4,5],[6,7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7)
[[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,7],[2,5],[4],[6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,7],[3,5],[4],[6]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2,7],[3,4],[5],[6]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,4,6],[2,7],[3],[5]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,7],[4],[5]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,7],[4],[5]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5],[2,7],[4],[6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3,7],[4],[6]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4],[3,7],[5],[6]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,4,6],[2,5],[3],[7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,5],[4],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,5],[4],[7]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2,4],[5],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3,4],[5],[7]] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5],[2,6],[4],[7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3,6],[4],[7]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,6],[5],[7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,4],[3,6],[5],[7]] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4,6],[5],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,5],[2,4],[6],[7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3,4],[6],[7]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4],[3,5],[6],[7]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4,5],[6],[7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,6,7],[2],[3],[4],[5]] => [7] => ([],7)
[[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7)
[[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,4,6],[2],[3],[5],[7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,6],[2],[4],[5],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,6],[3],[4],[5],[7]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,3,5],[2],[4],[6],[7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,5],[3],[4],[6],[7]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,2,4],[3],[5],[6],[7]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,4],[2,6],[3,7],[5]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,6],[4,7],[5]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2],[3,6],[4,7],[5]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3],[2,5],[4,7],[6]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2],[3,5],[4,7],[6]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2],[3,4],[5,7],[6]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3],[2,5],[4,6],[7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2],[3,5],[4,6],[7]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,4],[5,6],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2],[3,4],[5,6],[7]] => [2,2,2,1] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7)
[[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,4],[2,6],[3],[5],[7]] => [4,2,1] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,6],[4],[5],[7]] => [3,3,1] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2],[3,6],[4],[5],[7]] => [2,4,1] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3],[2,5],[4],[6],[7]] => [3,2,2] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,2],[3,5],[4],[6],[7]] => [2,3,2] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2],[3,4],[5],[6],[7]] => [2,2,3] => ([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7)
[[1,7],[2],[3],[4],[5],[6]] => [7] => ([],7)
[[1,6],[2],[3],[4],[5],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,5],[2],[3],[4],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,4],[2],[3],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[1,3],[2],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7)
[[1,2],[3],[4],[5],[6],[7]] => [2,5] => ([(4,6),(5,6)],7)
[[1],[2],[3],[4],[5],[6],[7]] => [7] => ([],7)
[[1,2,3,4,5,6,7,8]] => [8] => ([],8)
[[1,3,4,5,6,7,8],[2]] => [8] => ([],8)
[[1,2,4,5,6,7,8],[3]] => [2,6] => ([(5,7),(6,7)],8)
[[1,2,3,5,6,7,8],[4]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,3,4,6,7,8],[5]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,3,4,5,7,8],[6]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,3,4,5,6,8],[7]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,3,4,5,6,7],[8]] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6,7,8],[2,4]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,5,6,7,8],[3,4]] => [2,6] => ([(5,7),(6,7)],8)
[[1,3,4,6,7,8],[2,5]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,6,7,8],[3,5]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6,7,8],[4,5]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,3,4,5,7,8],[2,6]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,7,8],[3,6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,7,8],[4,6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,7,8],[5,6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,4,5,6,8],[2,7]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,6,8],[3,7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,6,8],[4,7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,6,8],[5,7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5,8],[6,7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,4,5,6,7],[2,8]] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,6,7],[3,8]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,6,7],[4,8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,6,7],[5,8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5,7],[6,8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5,6],[7,8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,5,6,7,8],[2],[3]] => [8] => ([],8)
[[1,3,5,6,7,8],[2],[4]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,5,6,7,8],[3],[4]] => [2,6] => ([(5,7),(6,7)],8)
[[1,3,4,6,7,8],[2],[5]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,6,7,8],[3],[5]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6,7,8],[4],[5]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,3,4,5,7,8],[2],[6]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,7,8],[3],[6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,7,8],[4],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,7,8],[5],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,4,5,6,8],[2],[7]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,6,8],[3],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,6,8],[4],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,6,8],[5],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5,8],[6],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,4,5,6,7],[2],[8]] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,6,7],[3],[8]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,6,7],[4],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,6,7],[5],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5,7],[6],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5,6],[7],[8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,7,8],[2,4,6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7,8],[3,4,6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7,8],[2,5,6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,7,8],[3,5,6]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7,8],[4,5,6]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,3,5,6,8],[2,4,7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6,8],[3,4,7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,8],[2,5,7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6,8],[3,5,7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6,8],[4,5,7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,8],[2,6,7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,8],[3,6,7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,8],[4,6,7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,8],[5,6,7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6,7],[2,4,8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6,7],[3,4,8]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,7],[2,5,8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6,7],[3,5,8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6,7],[4,5,8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,7],[2,6,8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5,7],[3,6,8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,7],[4,6,8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,7],[5,6,8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,6],[2,7,8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,6],[3,7,8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,6],[4,7,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,6],[5,7,8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5],[6,7,8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6,7,8],[2,5],[3]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,6,7,8],[2,5],[4]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,6,7,8],[3,5],[4]] => [2,6] => ([(5,7),(6,7)],8)
[[1,3,6,7,8],[2,4],[5]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,6,7,8],[3,4],[5]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,7,8],[2,6],[3]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,7,8],[2,6],[4]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7,8],[3,6],[4]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7,8],[2,6],[5]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,7,8],[3,6],[5]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7,8],[4,6],[5]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,3,5,7,8],[2,4],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7,8],[3,4],[6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7,8],[2,5],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,7,8],[3,5],[6]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7,8],[4,5],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,6,8],[2,7],[3]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6,8],[2,7],[4]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6,8],[3,7],[4]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,8],[2,7],[5]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6,8],[3,7],[5]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6,8],[4,7],[5]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,8],[2,7],[6]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,8],[3,7],[6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,8],[4,7],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,8],[5,7],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6,8],[2,4],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6,8],[3,4],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,8],[2,5],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6,8],[3,5],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6,8],[4,5],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,8],[2,6],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,8],[3,6],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,8],[4,6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,8],[5,6],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,6,7],[2,8],[3]] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6,7],[2,8],[4]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6,7],[3,8],[4]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,7],[2,8],[5]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6,7],[3,8],[5]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6,7],[4,8],[5]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,7],[2,8],[6]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5,7],[3,8],[6]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,7],[4,8],[6]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,7],[5,8],[6]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,6],[2,8],[7]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,6],[3,8],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,6],[4,8],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,6],[5,8],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5],[6,8],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6,7],[2,4],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6,7],[3,4],[8]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,7],[2,5],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6,7],[3,5],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6,7],[4,5],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,7],[2,6],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5,7],[3,6],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,7],[4,6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,7],[5,6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,6],[2,7],[8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,6],[3,7],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,6],[4,7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,6],[5,7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5],[6,7],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6,7,8],[2],[3],[4]] => [8] => ([],8)
[[1,4,6,7,8],[2],[3],[5]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,6,7,8],[2],[4],[5]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,6,7,8],[3],[4],[5]] => [2,6] => ([(5,7),(6,7)],8)
[[1,4,5,7,8],[2],[3],[6]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,7,8],[2],[4],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7,8],[3],[4],[6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7,8],[2],[5],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,7,8],[3],[5],[6]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7,8],[4],[5],[6]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,4,5,6,8],[2],[3],[7]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6,8],[2],[4],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6,8],[3],[4],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,8],[2],[5],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6,8],[3],[5],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6,8],[4],[5],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,8],[2],[6],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,8],[3],[6],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,8],[4],[6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,8],[5],[6],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,5,6,7],[2],[3],[8]] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6,7],[2],[4],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6,7],[3],[4],[8]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6,7],[2],[5],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6,7],[3],[5],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6,7],[4],[5],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,7],[2],[6],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5,7],[3],[6],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,7],[4],[6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,7],[5],[6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5,6],[2],[7],[8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5,6],[3],[7],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5,6],[4],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,6],[5],[7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4,5],[6],[7],[8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,7],[2,4,6,8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7],[3,4,6,8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7],[2,5,6,8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,7],[3,5,6,8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,5,6,8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,6],[2,4,7,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,4,7,8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,5,7,8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,5,7,8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4,5,7,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,6,7,8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5],[3,6,7,8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,6,7,8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,6,7,8]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6,8],[2,5,7],[3]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,8],[2,5,7],[4]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,8],[3,5,7],[4]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,8],[2,4,7],[5]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,8],[3,4,7],[5]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,8],[2,6,7],[3]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,8],[2,6,7],[4]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3,6,7],[4]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,8],[2,6,7],[5]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,8],[3,6,7],[5]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,8],[4,6,7],[5]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,3,5,8],[2,4,7],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3,4,7],[6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,8],[2,5,7],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,8],[3,5,7],[6]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,8],[4,5,7],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,8],[2,4,6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3,4,6],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,8],[2,5,6],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,8],[3,5,6],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,8],[4,5,6],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6,7],[2,5,8],[3]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2,5,8],[4]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,7],[3,5,8],[4]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2,4,8],[5]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,7],[3,4,8],[5]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,7],[2,6,8],[3]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,6,8],[4]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7],[3,6,8],[4]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7],[2,6,8],[5]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,7],[3,6,8],[5]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,6,8],[5]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,4,8],[6]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7],[3,4,8],[6]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7],[2,5,8],[6]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,7],[3,5,8],[6]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,5,8],[6]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,6],[2,7,8],[3]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6],[2,7,8],[4]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,7,8],[4]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,7,8],[5]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,7,8],[5]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4,7,8],[5]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,7,8],[6]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5],[3,7,8],[6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,7,8],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,7,8],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6],[2,4,8],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,4,8],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,5,8],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,5,8],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4,5,8],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,6,8],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5],[3,6,8],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,6,8],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,6,8],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,4,6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7],[3,4,6],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7],[2,5,6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,7],[3,5,6],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,5,6],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,6],[2,4,7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,4,7],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,5,7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,5,7],[8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4,5,7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,6,7],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5],[3,6,7],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,6,7],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,6,7],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7,8],[2,5],[3,6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,7,8],[2,5],[4,6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7,8],[3,5],[4,6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7,8],[2,4],[5,6]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,7,8],[3,4],[5,6]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6,8],[2,5],[3,7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,8],[2,5],[4,7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,8],[3,5],[4,7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,8],[2,4],[5,7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,8],[3,4],[5,7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,8],[2,6],[3,7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,8],[2,6],[4,7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3,6],[4,7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,8],[2,6],[5,7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,8],[3,6],[5,7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,8],[4,6],[5,7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,8],[2,4],[6,7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3,4],[6,7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,8],[2,5],[6,7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,8],[3,5],[6,7]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,8],[4,5],[6,7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6,7],[2,5],[3,8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2,5],[4,8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,7],[3,5],[4,8]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2,4],[5,8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,7],[3,4],[5,8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,7],[2,6],[3,8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,6],[4,8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7],[3,6],[4,8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7],[2,6],[5,8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,7],[3,6],[5,8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,6],[5,8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,4],[6,8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7],[3,4],[6,8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7],[2,5],[6,8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,7],[3,5],[6,8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,5],[6,8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,6],[2,7],[3,8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6],[2,7],[4,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,7],[4,8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,7],[5,8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,7],[5,8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4,7],[5,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,7],[6,8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5],[3,7],[6,8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,7],[6,8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,7],[6,8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,6],[2,4],[7,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,4],[7,8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,5],[7,8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,5],[7,8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4,5],[7,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,6],[7,8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5],[3,6],[7,8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,6],[7,8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,6],[7,8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,7,8],[2,6],[3],[4]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,7,8],[2,6],[3],[5]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,7,8],[2,6],[4],[5]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,7,8],[3,6],[4],[5]] => [2,6] => ([(5,7),(6,7)],8)
[[1,4,7,8],[2,5],[3],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,7,8],[2,5],[4],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7,8],[3,5],[4],[6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7,8],[2,4],[5],[6]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,7,8],[3,4],[5],[6]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6,8],[2,7],[3],[4]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6,8],[2,7],[3],[5]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,8],[2,7],[4],[5]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,8],[3,7],[4],[5]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,8],[2,7],[3],[6]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,8],[2,7],[4],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3,7],[4],[6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,8],[2,7],[5],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,8],[3,7],[5],[6]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,8],[4,7],[5],[6]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,4,6,8],[2,5],[3],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,8],[2,5],[4],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,8],[3,5],[4],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,8],[2,4],[5],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,8],[3,4],[5],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,8],[2,6],[3],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,8],[2,6],[4],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3,6],[4],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,8],[2,6],[5],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,8],[3,6],[5],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,8],[4,6],[5],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,8],[2,4],[6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3,4],[6],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,8],[2,5],[6],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,8],[3,5],[6],[7]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,8],[4,5],[6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6,7],[2,8],[3],[4]] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6,7],[2,8],[3],[5]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2,8],[4],[5]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,7],[3,8],[4],[5]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,7],[2,8],[3],[6]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,8],[4],[6]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7],[3,8],[4],[6]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7],[2,8],[5],[6]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,7],[3,8],[5],[6]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,8],[5],[6]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,6],[2,8],[3],[7]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6],[2,8],[4],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,8],[4],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,8],[5],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,8],[5],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4,8],[5],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,8],[6],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5],[3,8],[6],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,8],[6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,8],[6],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6,7],[2,5],[3],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2,5],[4],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,7],[3,5],[4],[8]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2,4],[5],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,7],[3,4],[5],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,7],[2,6],[3],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,6],[4],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7],[3,6],[4],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7],[2,6],[5],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,7],[3,6],[5],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,6],[5],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2,4],[6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7],[3,4],[6],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7],[2,5],[6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,7],[3,5],[6],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4,5],[6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,6],[2,7],[3],[8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6],[2,7],[4],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,7],[4],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,7],[5],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,7],[5],[8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4,7],[5],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,7],[6],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,5],[3,7],[6],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,7],[6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,7],[6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,6],[2,4],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3,4],[7],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2,5],[7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3,5],[7],[8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4,5],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2,6],[7],[8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5],[3,6],[7],[8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4,6],[7],[8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5,6],[7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,6,7,8],[2],[3],[4],[5]] => [8] => ([],8)
[[1,5,7,8],[2],[3],[4],[6]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,7,8],[2],[3],[5],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,7,8],[2],[4],[5],[6]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,7,8],[3],[4],[5],[6]] => [2,6] => ([(5,7),(6,7)],8)
[[1,5,6,8],[2],[3],[4],[7]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6,8],[2],[3],[5],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,8],[2],[4],[5],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,8],[3],[4],[5],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,8],[2],[3],[6],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,8],[2],[4],[6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,8],[3],[4],[6],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,8],[2],[5],[6],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,8],[3],[5],[6],[7]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,8],[4],[5],[6],[7]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,5,6,7],[2],[3],[4],[8]] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6,7],[2],[3],[5],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6,7],[2],[4],[5],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6,7],[3],[4],[5],[8]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,7],[2],[3],[6],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5,7],[2],[4],[6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,7],[3],[4],[6],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,7],[2],[5],[6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,7],[3],[5],[6],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,7],[4],[5],[6],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5,6],[2],[3],[7],[8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5,6],[2],[4],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5,6],[3],[4],[7],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,6],[2],[5],[7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4,6],[3],[5],[7],[8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,6],[4],[5],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4,5],[2],[6],[7],[8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4,5],[3],[6],[7],[8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,5],[4],[6],[7],[8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3,4],[5],[6],[7],[8]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,7],[2,5,8],[3,6]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,5,8],[4,6]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,5,8],[4,6]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,4,8],[5,6]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,4,8],[5,6]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6],[2,5,8],[3,7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,5,8],[4,7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,5,8],[4,7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,4,8],[5,7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,4,8],[5,7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,6,8],[3,7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5],[2,6,8],[4,7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,6,8],[4,7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,6,8],[5,7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,6,8],[5,7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,6,8],[5,7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,4,8],[6,7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,4,8],[6,7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,5,8],[6,7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4],[3,5,8],[6,7]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,5,8],[6,7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6],[2,5,7],[3,8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,5,7],[4,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,5,7],[4,8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,4,7],[5,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,4,7],[5,8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,6,7],[3,8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,6,7],[4,8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,6,7],[4,8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,6,7],[5,8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,6,7],[5,8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,6,7],[5,8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,4,7],[6,8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,4,7],[6,8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,5,7],[6,8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,5,7],[6,8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,5,7],[6,8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,4,6],[7,8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,4,6],[7,8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,5,6],[7,8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,5,6],[7,8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,5,6],[7,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,7],[2,6,8],[3],[4]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,6,8],[3],[5]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,6,8],[4],[5]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,6,8],[4],[5]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,5,8],[3],[6]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,5,8],[4],[6]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,5,8],[4],[6]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,4,8],[5],[6]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,4,8],[5],[6]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6],[2,7,8],[3],[4]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6],[2,7,8],[3],[5]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,7,8],[4],[5]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,7,8],[4],[5]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,7,8],[3],[6]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5],[2,7,8],[4],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,7,8],[4],[6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,7,8],[5],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4],[3,7,8],[5],[6]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,7,8],[5],[6]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,4,6],[2,5,8],[3],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,5,8],[4],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,5,8],[4],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,4,8],[5],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,4,8],[5],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,6,8],[3],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5],[2,6,8],[4],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,6,8],[4],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,6,8],[5],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,6,8],[5],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,6,8],[5],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,4,8],[6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,4,8],[6],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,5,8],[6],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4],[3,5,8],[6],[7]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,5,8],[6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6],[2,5,7],[3],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,5,7],[4],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,5,7],[4],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,4,7],[5],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,4,7],[5],[8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,6,7],[3],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,6,7],[4],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,6,7],[4],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,6,7],[5],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,6,7],[5],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,6,7],[5],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,4,7],[6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,4,7],[6],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,5,7],[6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,5,7],[6],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,5,7],[6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,4,6],[7],[8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,4,6],[7],[8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,5,6],[7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,5,6],[7],[8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,5,6],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,8],[2,6],[3,7],[4]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,8],[2,6],[3,7],[5]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,8],[2,6],[4,7],[5]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,8],[3,6],[4,7],[5]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,8],[2,5],[3,7],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,8],[2,5],[4,7],[6]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,8],[3,5],[4,7],[6]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,8],[2,4],[5,7],[6]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,8],[3,4],[5,7],[6]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,8],[2,5],[3,6],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,8],[2,5],[4,6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,8],[3,5],[4,6],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,8],[2,4],[5,6],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,8],[3,4],[5,6],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,7],[2,6],[3,8],[4]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,6],[3,8],[5]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,6],[4,8],[5]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,6],[4,8],[5]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,5],[3,8],[6]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,5],[4,8],[6]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,5],[4,8],[6]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,4],[5,8],[6]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,4],[5,8],[6]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6],[2,7],[3,8],[4]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6],[2,7],[3,8],[5]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,7],[4,8],[5]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,7],[4,8],[5]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,7],[3,8],[6]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,7],[4,8],[6]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,7],[4,8],[6]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,7],[5,8],[6]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,7],[5,8],[6]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,7],[5,8],[6]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6],[2,5],[3,8],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,5],[4,8],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,5],[4,8],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,4],[5,8],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,4],[5,8],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,6],[3,8],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5],[2,6],[4,8],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,6],[4,8],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,6],[5,8],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,6],[5,8],[7]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,6],[5,8],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,4],[6,8],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,4],[6,8],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,5],[6,8],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4],[3,5],[6,8],[7]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,5],[6,8],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,5],[3,6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,5],[4,6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,5],[4,6],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,4],[5,6],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,4],[5,6],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6],[2,5],[3,7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,5],[4,7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,5],[4,7],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,4],[5,7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,4],[5,7],[8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,6],[3,7],[8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5],[2,6],[4,7],[8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,6],[4,7],[8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,6],[5,7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,6],[5,7],[8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,6],[5,7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,4],[6,7],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,4],[6,7],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,5],[6,7],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,5],[6,7],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,5],[6,7],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,6,8],[2,7],[3],[4],[5]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,5,8],[2,7],[3],[4],[6]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,8],[2,7],[3],[5],[6]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,8],[2,7],[4],[5],[6]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,8],[3,7],[4],[5],[6]] => [2,6] => ([(5,7),(6,7)],8)
[[1,5,8],[2,6],[3],[4],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,8],[2,6],[3],[5],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,8],[2,6],[4],[5],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,8],[3,6],[4],[5],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,8],[2,5],[3],[6],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,8],[2,5],[4],[6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,8],[3,5],[4],[6],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,8],[2,4],[5],[6],[7]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,8],[3,4],[5],[6],[7]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,6,7],[2,8],[3],[4],[5]] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,5,7],[2,8],[3],[4],[6]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,8],[3],[5],[6]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,8],[4],[5],[6]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,8],[4],[5],[6]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6],[2,8],[3],[4],[7]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6],[2,8],[3],[5],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,8],[4],[5],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,8],[4],[5],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,8],[3],[6],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5],[2,8],[4],[6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,8],[4],[6],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,8],[5],[6],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4],[3,8],[5],[6],[7]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,8],[5],[6],[7]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,5,7],[2,6],[3],[4],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,6],[3],[5],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,6],[4],[5],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,6],[4],[5],[8]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2,5],[3],[6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,5],[4],[6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,5],[4],[6],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2,4],[5],[6],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3,4],[5],[6],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6],[2,7],[3],[4],[8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6],[2,7],[3],[5],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,7],[4],[5],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,7],[4],[5],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,7],[3],[6],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,7],[4],[6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,7],[4],[6],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,7],[5],[6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,7],[5],[6],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,7],[5],[6],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,6],[2,5],[3],[7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,5],[4],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,5],[4],[7],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2,4],[5],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3,4],[5],[7],[8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2,6],[3],[7],[8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5],[2,6],[4],[7],[8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,6],[4],[7],[8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,6],[5],[7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,4],[3,6],[5],[7],[8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,6],[5],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,5],[2,4],[6],[7],[8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3,4],[6],[7],[8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2,5],[6],[7],[8]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4],[3,5],[6],[7],[8]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4,5],[6],[7],[8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,7,8],[2],[3],[4],[5],[6]] => [8] => ([],8)
[[1,6,8],[2],[3],[4],[5],[7]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,5,8],[2],[3],[4],[6],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,8],[2],[3],[5],[6],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,8],[2],[4],[5],[6],[7]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2,8],[3],[4],[5],[6],[7]] => [2,6] => ([(5,7),(6,7)],8)
[[1,6,7],[2],[3],[4],[5],[8]] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,5,7],[2],[3],[4],[6],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,7],[2],[3],[5],[6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,7],[2],[4],[5],[6],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,7],[3],[4],[5],[6],[8]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5,6],[2],[3],[4],[7],[8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4,6],[2],[3],[5],[7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,6],[2],[4],[5],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,6],[3],[4],[5],[7],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4,5],[2],[3],[6],[7],[8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3,5],[2],[4],[6],[7],[8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,5],[3],[4],[6],[7],[8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3,4],[2],[5],[6],[7],[8]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,4],[3],[5],[6],[7],[8]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2,3],[4],[5],[6],[7],[8]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,5],[2,6],[3,7],[4,8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4],[2,6],[3,7],[5,8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,6],[4,7],[5,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,6],[4,7],[5,8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,5],[3,7],[6,8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,5],[4,7],[6,8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,5],[4,7],[6,8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,4],[5,7],[6,8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,4],[5,7],[6,8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,5],[3,6],[7,8]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3],[2,5],[4,6],[7,8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,5],[4,6],[7,8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,4],[5,6],[7,8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,4],[5,6],[7,8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,6],[2,7],[3,8],[4],[5]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,5],[2,7],[3,8],[4],[6]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,7],[3,8],[5],[6]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,7],[4,8],[5],[6]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,7],[4,8],[5],[6]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5],[2,6],[3,8],[4],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4],[2,6],[3,8],[5],[7]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,6],[4,8],[5],[7]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,6],[4,8],[5],[7]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,5],[3,8],[6],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3],[2,5],[4,8],[6],[7]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,5],[4,8],[6],[7]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,4],[5,8],[6],[7]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2],[3,4],[5,8],[6],[7]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5],[2,6],[3,7],[4],[8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4],[2,6],[3,7],[5],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,6],[4,7],[5],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,6],[4,7],[5],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,5],[3,7],[6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,5],[4,7],[6],[8]] => [3,2,2,1] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,5],[4,7],[6],[8]] => [2,3,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,4],[5,7],[6],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,4],[5,7],[6],[8]] => [2,2,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,5],[3,6],[7],[8]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3],[2,5],[4,6],[7],[8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,5],[4,6],[7],[8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,4],[5,6],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,4],[5,6],[7],[8]] => [2,2,2,2] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,7],[2,8],[3],[4],[5],[6]] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,6],[2,8],[3],[4],[5],[7]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,5],[2,8],[3],[4],[6],[7]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4],[2,8],[3],[5],[6],[7]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3],[2,8],[4],[5],[6],[7]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2],[3,8],[4],[5],[6],[7]] => [2,6] => ([(5,7),(6,7)],8)
[[1,6],[2,7],[3],[4],[5],[8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,5],[2,7],[3],[4],[6],[8]] => [5,2,1] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,7],[3],[5],[6],[8]] => [4,3,1] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,7],[4],[5],[6],[8]] => [3,4,1] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,7],[4],[5],[6],[8]] => [2,5,1] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,5],[2,6],[3],[4],[7],[8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4],[2,6],[3],[5],[7],[8]] => [4,2,2] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,6],[4],[5],[7],[8]] => [3,3,2] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,6],[4],[5],[7],[8]] => [2,4,2] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,4],[2,5],[3],[6],[7],[8]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3],[2,5],[4],[6],[7],[8]] => [3,2,3] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,2],[3,5],[4],[6],[7],[8]] => [2,3,3] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,3],[2,4],[5],[6],[7],[8]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2],[3,4],[5],[6],[7],[8]] => [2,2,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7),(6,7)],8)
[[1,8],[2],[3],[4],[5],[6],[7]] => [8] => ([],8)
[[1,7],[2],[3],[4],[5],[6],[8]] => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,6],[2],[3],[4],[5],[7],[8]] => [6,2] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,5],[2],[3],[4],[6],[7],[8]] => [5,3] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,4],[2],[3],[5],[6],[7],[8]] => [4,4] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[1,3],[2],[4],[5],[6],[7],[8]] => [3,5] => ([(4,7),(5,7),(6,7)],8)
[[1,2],[3],[4],[5],[6],[7],[8]] => [2,6] => ([(5,7),(6,7)],8)
[[1],[2],[3],[4],[5],[6],[7],[8]] => [8] => ([],8)
[[1,3,5,7,9],[2,4,6,8,10]] => [3,2,2,2,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,5,7,8],[2,4,6,9,10]] => [3,2,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,5,6,9],[2,4,7,8,10]] => [3,3,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,5,6,8],[2,4,7,9,10]] => [3,3,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,5,6,7],[2,4,8,9,10]] => [3,4,3] => ([(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,7,9],[2,5,6,8,10]] => [4,3,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,7,8],[2,5,6,9,10]] => [4,4,2] => ([(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,6,9],[2,5,7,8,10]] => [4,2,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,6,8],[2,5,7,9,10]] => [4,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,6,7],[2,5,8,9,10]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,9],[2,6,7,8,10]] => [5,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,8],[2,6,7,9,10]] => [5,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,7],[2,6,8,9,10]] => [5,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,6],[2,7,8,9,10]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,5,7,9],[3,4,6,8,10]] => [2,3,2,2,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,7,8],[3,4,6,9,10]] => [2,3,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,6,9],[3,4,7,8,10]] => [2,4,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,6,8],[3,4,7,9,10]] => [2,4,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,6,7],[3,4,8,9,10]] => [2,5,3] => ([(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,7,9],[3,5,6,8,10]] => [2,2,3,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,7,8],[3,5,6,9,10]] => [2,2,4,2] => ([(1,9),(2,9),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,6,9],[3,5,7,8,10]] => [2,2,2,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,6,8],[3,5,7,9,10]] => [2,2,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,6,7],[3,5,8,9,10]] => [2,2,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,9],[3,6,7,8,10]] => [2,3,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,8],[3,6,7,9,10]] => [2,3,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,7],[3,6,8,9,10]] => [2,3,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,6],[3,7,8,9,10]] => [2,4,4] => ([(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,7,9],[4,5,6,8,10]] => [3,4,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,7,8],[4,5,6,9,10]] => [3,5,2] => ([(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,6,9],[4,5,7,8,10]] => [3,3,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,6,8],[4,5,7,9,10]] => [3,3,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,6,7],[4,5,8,9,10]] => [3,4,3] => ([(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,9],[4,6,7,8,10]] => [3,2,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,8],[4,6,7,9,10]] => [3,2,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,7],[4,6,8,9,10]] => [3,2,2,3] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,6],[4,7,8,9,10]] => [3,3,4] => ([(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,9],[5,6,7,8,10]] => [4,5,1] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,8],[5,6,7,9,10]] => [4,4,2] => ([(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,7],[5,6,8,9,10]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,6],[5,7,8,9,10]] => [4,2,4] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5],[6,7,8,9,10]] => [5,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,5,7,9,11],[2,4,6,8,10,12]] => [3,2,2,2,2,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,7),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,7,9,10],[2,4,6,8,11,12]] => [3,2,2,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,7,8,11],[2,4,6,9,10,12]] => [3,2,3,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,7,8,10],[2,4,6,9,11,12]] => [3,2,3,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,7,8,9],[2,4,6,10,11,12]] => [3,2,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,6,9,11],[2,4,7,8,10,12]] => [3,3,3,2,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,6,9,10],[2,4,7,8,11,12]] => [3,3,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,6,8,11],[2,4,7,9,10,12]] => [3,3,2,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,6,8,10],[2,4,7,9,11,12]] => [3,3,2,2,2] => ([(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,6,8,9],[2,4,7,10,11,12]] => [3,3,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,6,7,11],[2,4,8,9,10,12]] => [3,4,4,1] => ([(0,11),(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,6,7,10],[2,4,8,9,11,12]] => [3,4,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,6,7,9],[2,4,8,10,11,12]] => [3,4,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,5,6,7,8],[2,4,9,10,11,12]] => [3,5,4] => ([(3,11),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,7,9,11],[2,5,6,8,10,12]] => [4,3,2,2,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,7,9,10],[2,5,6,8,11,12]] => [4,3,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,7,8,11],[2,5,6,9,10,12]] => [4,4,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,7,8,10],[2,5,6,9,11,12]] => [4,4,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,7,8,9],[2,5,6,10,11,12]] => [4,5,3] => ([(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,6,9,11],[2,5,7,8,10,12]] => [4,2,3,2,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,6,9,10],[2,5,7,8,11,12]] => [4,2,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,6,8,11],[2,5,7,9,10,12]] => [4,2,2,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,6,8,10],[2,5,7,9,11,12]] => [4,2,2,2,2] => ([(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,6,8,9],[2,5,7,10,11,12]] => [4,2,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,6,7,11],[2,5,8,9,10,12]] => [4,3,4,1] => ([(0,11),(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,6,7,10],[2,5,8,9,11,12]] => [4,3,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,6,7,9],[2,5,8,10,11,12]] => [4,3,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,6,7,8],[2,5,9,10,11,12]] => [4,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,9,11],[2,6,7,8,10,12]] => [5,4,2,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,9,10],[2,6,7,8,11,12]] => [5,5,2] => ([(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,8,11],[2,6,7,9,10,12]] => [5,3,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,8,10],[2,6,7,9,11,12]] => [5,3,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,8,9],[2,6,7,10,11,12]] => [5,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,7,11],[2,6,8,9,10,12]] => [5,2,4,1] => ([(0,11),(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,7,10],[2,6,8,9,11,12]] => [5,2,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,7,9],[2,6,8,10,11,12]] => [5,2,2,3] => ([(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,7,8],[2,6,9,10,11,12]] => [5,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,6,11],[2,7,8,9,10,12]] => [6,5,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,6,10],[2,7,8,9,11,12]] => [6,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,6,9],[2,7,8,10,11,12]] => [6,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,6,8],[2,7,9,10,11,12]] => [6,2,4] => ([(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,6,7],[2,8,9,10,11,12]] => [7,5] => ([(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,5,7,9,11],[3,4,6,8,10,12]] => [2,3,2,2,2,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,7,9,10],[3,4,6,8,11,12]] => [2,3,2,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,7,8,11],[3,4,6,9,10,12]] => [2,3,3,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,7,8,10],[3,4,6,9,11,12]] => [2,3,3,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,7,8,9],[3,4,6,10,11,12]] => [2,3,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,6,9,11],[3,4,7,8,10,12]] => [2,4,3,2,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,6,9,10],[3,4,7,8,11,12]] => [2,4,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,6,8,11],[3,4,7,9,10,12]] => [2,4,2,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,6,8,10],[3,4,7,9,11,12]] => [2,4,2,2,2] => ([(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,6,8,9],[3,4,7,10,11,12]] => [2,4,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,6,7,11],[3,4,8,9,10,12]] => [2,5,4,1] => ([(0,11),(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,6,7,10],[3,4,8,9,11,12]] => [2,5,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,6,7,9],[3,4,8,10,11,12]] => [2,5,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,6,7,8],[3,4,9,10,11,12]] => [2,6,4] => ([(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,7,9,11],[3,5,6,8,10,12]] => [2,2,3,2,2,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,7,9,10],[3,5,6,8,11,12]] => [2,2,3,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,7,8,11],[3,5,6,9,10,12]] => [2,2,4,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,7,8,10],[3,5,6,9,11,12]] => [2,2,4,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,7,8,9],[3,5,6,10,11,12]] => [2,2,5,3] => ([(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,9,11],[3,5,7,8,10,12]] => [2,2,2,3,2,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,9,10],[3,5,7,8,11,12]] => [2,2,2,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,8,11],[3,5,7,9,10,12]] => [2,2,2,2,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,8,10],[3,5,7,9,11,12]] => [2,2,2,2,2,2] => ([(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,8,9],[3,5,7,10,11,12]] => [2,2,2,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,11],[3,5,8,9,10,12]] => [2,2,3,4,1] => ([(0,11),(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,10],[3,5,8,9,11,12]] => [2,2,3,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,9],[3,5,8,10,11,12]] => [2,2,3,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,8],[3,5,9,10,11,12]] => [2,2,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,9,11],[3,6,7,8,10,12]] => [2,3,4,2,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,9,10],[3,6,7,8,11,12]] => [2,3,5,2] => ([(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,8,11],[3,6,7,9,10,12]] => [2,3,3,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,8,10],[3,6,7,9,11,12]] => [2,3,3,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,8,9],[3,6,7,10,11,12]] => [2,3,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,11],[3,6,8,9,10,12]] => [2,3,2,4,1] => ([(0,11),(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,10],[3,6,8,9,11,12]] => [2,3,2,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,9],[3,6,8,10,11,12]] => [2,3,2,2,3] => ([(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,8],[3,6,9,10,11,12]] => [2,3,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,11],[3,7,8,9,10,12]] => [2,4,5,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,10],[3,7,8,9,11,12]] => [2,4,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,9],[3,7,8,10,11,12]] => [2,4,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,8],[3,7,9,10,11,12]] => [2,4,2,4] => ([(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,7],[3,8,9,10,11,12]] => [2,5,5] => ([(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,7,9,11],[4,5,6,8,10,12]] => [3,4,2,2,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,7,9,10],[4,5,6,8,11,12]] => [3,4,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,7,8,11],[4,5,6,9,10,12]] => [3,5,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,7,8,10],[4,5,6,9,11,12]] => [3,5,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,7,8,9],[4,5,6,10,11,12]] => [3,6,3] => ([(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,6,9,11],[4,5,7,8,10,12]] => [3,3,3,2,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,6,9,10],[4,5,7,8,11,12]] => [3,3,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,6,8,11],[4,5,7,9,10,12]] => [3,3,2,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,6,8,10],[4,5,7,9,11,12]] => [3,3,2,2,2] => ([(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,6,8,9],[4,5,7,10,11,12]] => [3,3,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,6,7,11],[4,5,8,9,10,12]] => [3,4,4,1] => ([(0,11),(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,6,7,10],[4,5,8,9,11,12]] => [3,4,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,6,7,9],[4,5,8,10,11,12]] => [3,4,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,6,7,8],[4,5,9,10,11,12]] => [3,5,4] => ([(3,11),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,9,11],[4,6,7,8,10,12]] => [3,2,4,2,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,9,10],[4,6,7,8,11,12]] => [3,2,5,2] => ([(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,8,11],[4,6,7,9,10,12]] => [3,2,3,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,8,10],[4,6,7,9,11,12]] => [3,2,3,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,8,9],[4,6,7,10,11,12]] => [3,2,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,11],[4,6,8,9,10,12]] => [3,2,2,4,1] => ([(0,11),(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,10],[4,6,8,9,11,12]] => [3,2,2,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,9],[4,6,8,10,11,12]] => [3,2,2,2,3] => ([(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,8],[4,6,9,10,11,12]] => [3,2,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,11],[4,7,8,9,10,12]] => [3,3,5,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,10],[4,7,8,9,11,12]] => [3,3,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,9],[4,7,8,10,11,12]] => [3,3,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,8],[4,7,9,10,11,12]] => [3,3,2,4] => ([(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,7],[4,8,9,10,11,12]] => [3,4,5] => ([(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,9,11],[5,6,7,8,10,12]] => [4,5,2,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,9,10],[5,6,7,8,11,12]] => [4,6,2] => ([(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,8,11],[5,6,7,9,10,12]] => [4,4,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,8,10],[5,6,7,9,11,12]] => [4,4,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,8,9],[5,6,7,10,11,12]] => [4,5,3] => ([(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,11],[5,6,8,9,10,12]] => [4,3,4,1] => ([(0,11),(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,10],[5,6,8,9,11,12]] => [4,3,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,9],[5,6,8,10,11,12]] => [4,3,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,8],[5,6,9,10,11,12]] => [4,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,11],[5,7,8,9,10,12]] => [4,2,5,1] => ([(0,11),(1,11),(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,10],[5,7,8,9,11,12]] => [4,2,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,9],[5,7,8,10,11,12]] => [4,2,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,8],[5,7,9,10,11,12]] => [4,2,2,4] => ([(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,7],[5,8,9,10,11,12]] => [4,3,5] => ([(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,11],[6,7,8,9,10,12]] => [5,6,1] => ([(0,11),(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,10],[6,7,8,9,11,12]] => [5,5,2] => ([(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,9],[6,7,8,10,11,12]] => [5,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,8],[6,7,9,10,11,12]] => [5,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,7],[6,8,9,10,11,12]] => [5,2,5] => ([(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6],[7,8,9,10,11,12]] => [6,6] => ([(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3,4,5,6,7,8,9]] => [9] => ([],9)
[[1,2,3,4,5,6,7,8],[9]] => [8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,5,6,7],[8,9]] => [7,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,5,6,7],[8],[9]] => [7,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,5,6],[7,8,9]] => [6,3] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,5,6],[7,8],[9]] => [6,2,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,5,6],[7],[8],[9]] => [6,3] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,5],[6,7,8,9]] => [5,4] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,5],[6,7,8],[9]] => [5,3,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,5],[6,7],[8,9]] => [5,2,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,5],[6,7],[8],[9]] => [5,2,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,5],[6],[7],[8],[9]] => [5,4] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4],[5,6,7,8],[9]] => [4,4,1] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4],[5,6,7],[8,9]] => [4,3,2] => ([(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4],[5,6,7],[8],[9]] => [4,3,2] => ([(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4],[5,6],[7,8],[9]] => [4,2,2,1] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4],[5,6],[7],[8],[9]] => [4,2,3] => ([(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4],[5],[6],[7],[8],[9]] => [4,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3],[4,5,6],[7,8,9]] => [3,3,3] => ([(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3],[4,5,6],[7,8],[9]] => [3,3,2,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3],[4,5,6],[7],[8],[9]] => [3,3,3] => ([(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3],[4,5],[6,7],[8,9]] => [3,2,2,2] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3],[4,5],[6,7],[8],[9]] => [3,2,2,2] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3],[4,5],[6],[7],[8],[9]] => [3,2,4] => ([(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3],[4],[5],[6],[7],[8],[9]] => [3,6] => ([(5,8),(6,8),(7,8)],9)
[[1,2],[3,4],[5,6],[7,8],[9]] => [2,2,2,2,1] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,5),(3,6),(3,7),(3,8),(4,5),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2],[3,4],[5,6],[7],[8],[9]] => [2,2,2,3] => ([(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2],[3,4],[5],[6],[7],[8],[9]] => [2,2,5] => ([(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2],[3],[4],[5],[6],[7],[8],[9]] => [2,7] => ([(6,8),(7,8)],9)
[[1],[2],[3],[4],[5],[6],[7],[8],[9]] => [9] => ([],9)
[[1,2,3,4,5,6,7,8,9,10]] => [10] => ([],10)
[[1,2,3,4,5,6,7,8,9],[10]] => [9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7,8],[9,10]] => [8,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7,8],[9],[10]] => [8,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7],[8,9,10]] => [7,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7],[8,9],[10]] => [7,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7],[8],[9],[10]] => [7,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6],[7,8,9,10]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6],[7,8,9],[10]] => [6,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6],[7,8],[9,10]] => [6,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6],[7,8],[9],[10]] => [6,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6],[7],[8],[9],[10]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5],[6,7,8,9],[10]] => [5,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5],[6,7,8],[9,10]] => [5,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5],[6,7,8],[9],[10]] => [5,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5],[6,7],[8,9],[10]] => [5,2,2,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5],[6,7],[8],[9],[10]] => [5,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5],[6],[7],[8],[9],[10]] => [5,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4],[5,6,7,8],[9,10]] => [4,4,2] => ([(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5,6,7,8],[9],[10]] => [4,4,2] => ([(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5,6,7],[8,9,10]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5,6,7],[8,9],[10]] => [4,3,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5,6,7],[8],[9],[10]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5,6],[7,8],[9,10]] => [4,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5,6],[7,8],[9],[10]] => [4,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5,6],[7],[8],[9],[10]] => [4,2,4] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4],[5],[6],[7],[8],[9],[10]] => [4,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3],[4,5,6],[7,8,9],[10]] => [3,3,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4,5,6],[7,8],[9,10]] => [3,3,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4,5,6],[7,8],[9],[10]] => [3,3,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4,5,6],[7],[8],[9],[10]] => [3,3,4] => ([(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4,5],[6,7],[8,9],[10]] => [3,2,2,2,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4,5],[6,7],[8],[9],[10]] => [3,2,2,3] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4,5],[6],[7],[8],[9],[10]] => [3,2,5] => ([(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3],[4],[5],[6],[7],[8],[9],[10]] => [3,7] => ([(6,9),(7,9),(8,9)],10)
[[1,2],[3,4],[5,6],[7,8],[9,10]] => [2,2,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,4],[5,6],[7,8],[9],[10]] => [2,2,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [2,2,2,4] => ([(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,4],[5],[6],[7],[8],[9],[10]] => [2,2,6] => ([(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]] => [2,8] => ([(7,9),(8,9)],10)
[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => [10] => ([],10)
[[1,2,3,4],[5,6,7,8],[9,10,11]] => [4,4,3] => ([(2,10),(3,10),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[[1,2,3,4],[5,6,7,8],[9],[10],[11]] => [4,4,3] => ([(2,10),(3,10),(4,10),(5,9),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[[1,2,3],[4,5,6],[7,8,9],[10,11]] => [3,3,3,2] => ([(1,10),(2,10),(3,9),(3,10),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[[1,2,3],[4,5,6],[7,8,9],[10],[11]] => [3,3,3,2] => ([(1,10),(2,10),(3,9),(3,10),(4,9),(4,10),(5,8),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[[1,2,3,4,5,6,7,8,9,10,11,12]] => [12] => ([],12)
[[1,2,3,4,5,6],[7,8,9,10],[11,12]] => [6,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5],[6,7,8,9],[10,11,12]] => [5,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5],[6,7,8,9],[10,11],[12]] => [5,4,2,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5],[6,7,8,9],[10],[11],[12]] => [5,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5],[6,7,8],[9,10,11],[12]] => [5,3,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5],[6,7,8],[9,10],[11,12]] => [5,3,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5],[6,7,8],[9,10],[11],[12]] => [5,3,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5],[6,7],[8,9],[10,11],[12]] => [5,2,2,2,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,8),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => [4,4,3,1] => ([(0,11),(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => [4,4,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4],[5,6,7,8],[9,10],[11],[12]] => [4,4,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4],[5,6,7],[8,9,10],[11,12]] => [4,3,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4],[5,6,7],[8,9,10],[11],[12]] => [4,3,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4],[5,6,7],[8,9],[10,11],[12]] => [4,3,2,2,1] => ([(0,11),(1,10),(1,11),(2,9),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3],[4,5,6],[7,8,9],[10,11],[12]] => [3,3,3,2,1] => ([(0,11),(1,10),(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]] => [3,3,2,2,2] => ([(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,5,6,7,8,9],[2]] => [9] => ([],9)
[[1,2,5,6,7,8,9],[3,4]] => [2,7] => ([(6,8),(7,8)],9)
[[1,4,5,6,7,8,9],[2],[3]] => [9] => ([],9)
[[1,2,3,7,8,9],[4,5,6]] => [3,6] => ([(5,8),(6,8),(7,8)],9)
[[1,3,6,7,8,9],[2,5],[4]] => [3,6] => ([(5,8),(6,8),(7,8)],9)
[[1,5,6,7,8,9],[2],[3],[4]] => [9] => ([],9)
[[1,2,3,4,9],[5,6,7,8]] => [4,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4,8,9],[2,6,7],[5]] => [4,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,7,8,9],[3,4],[5,6]] => [2,2,5] => ([(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,7,8,9],[2,6],[3],[5]] => [4,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[[1,6,7,8,9],[2],[3],[4],[5]] => [9] => ([],9)
[[1,3,4,5],[2,7,8,9],[6]] => [5,4] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,5,9],[3,4,8],[6,7]] => [2,3,4] => ([(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,5,9],[2,7,8],[3],[6]] => [5,4] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,8,9],[2,5],[4,7],[6]] => [3,2,4] => ([(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,8,9],[2,7],[3],[4],[6]] => [5,4] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,7,8,9],[2],[3],[4],[5],[6]] => [9] => ([],9)
[[1,3,6],[2,5,9],[4,8],[7]] => [3,3,3] => ([(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,6],[2,8,9],[3],[4],[7]] => [6,3] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,9],[3,4],[5,6],[7,8]] => [2,2,2,3] => ([(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,9],[2,6],[3,8],[5],[7]] => [4,2,3] => ([(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6,9],[2,8],[3],[4],[5],[7]] => [6,3] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,8,9],[2],[3],[4],[5],[6],[7]] => [9] => ([],9)
[[1,3],[2,5],[4,7],[6,9],[8]] => [3,2,2,2] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5],[2,7],[3,9],[4],[6],[8]] => [5,2,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,7],[2,9],[3],[4],[5],[6],[8]] => [7,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,9],[2],[3],[4],[5],[6],[7],[8]] => [9] => ([],9)
[[1,3,4,5,6,7,8,9,10],[2]] => [10] => ([],10)
[[1,2,5,6,7,8,9,10],[3,4]] => [2,8] => ([(7,9),(8,9)],10)
[[1,4,5,6,7,8,9,10],[2],[3]] => [10] => ([],10)
[[1,2,3,7,8,9,10],[4,5,6]] => [3,7] => ([(6,9),(7,9),(8,9)],10)
[[1,3,6,7,8,9,10],[2,5],[4]] => [3,7] => ([(6,9),(7,9),(8,9)],10)
[[1,5,6,7,8,9,10],[2],[3],[4]] => [10] => ([],10)
[[1,2,3,4,9,10],[5,6,7,8]] => [4,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,8,9,10],[2,6,7],[5]] => [4,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,7,8,9,10],[3,4],[5,6]] => [2,2,6] => ([(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,7,8,9,10],[2,6],[3],[5]] => [4,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,6,7,8,9,10],[2],[3],[4],[5]] => [10] => ([],10)
[[1,3,4,5,10],[2,7,8,9],[6]] => [5,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,5,9,10],[3,4,8],[6,7]] => [2,3,5] => ([(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,5,9,10],[2,7,8],[3],[6]] => [5,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,8,9,10],[2,5],[4,7],[6]] => [3,2,5] => ([(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,8,9,10],[2,7],[3],[4],[6]] => [5,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,7,8,9,10],[2],[3],[4],[5],[6]] => [10] => ([],10)
[[1,2,5,6],[3,4,9,10],[7,8]] => [2,4,4] => ([(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,5,6],[2,8,9,10],[3],[7]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,10],[4,5,6],[7,8,9]] => [3,3,4] => ([(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,6,10],[2,5,9],[4,8],[7]] => [3,3,4] => ([(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,6,10],[2,8,9],[3],[4],[7]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,9,10],[3,4],[5,6],[7,8]] => [2,2,2,4] => ([(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,9,10],[2,6],[3,8],[5],[7]] => [4,2,4] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,9,10],[2,8],[3],[4],[5],[7]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,8,9,10],[2],[3],[4],[5],[6],[7]] => [10] => ([],10)
[[1,3,4],[2,6,7],[5,9,10],[8]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,7],[3,4,10],[5,6],[8,9]] => [2,2,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,7],[2,6,10],[3,9],[5],[8]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,7],[2,9,10],[3],[4],[5],[8]] => [7,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,10],[2,5],[4,7],[6,9],[8]] => [3,2,2,3] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,10],[2,7],[3,9],[4],[6],[8]] => [5,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,7,10],[2,9],[3],[4],[5],[6],[8]] => [7,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,9,10],[2],[3],[4],[5],[6],[7],[8]] => [10] => ([],10)
[[1,4],[2,6],[3,8],[5,10],[7],[9]] => [4,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [6,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,8],[2,10],[3],[4],[5],[6],[7],[9]] => [8,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]] => [10] => ([],10)
[[1,2,3,7],[4,5,6,11],[8,9,10]] => [3,4,4] => ([(3,10),(4,10),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[[1,3,6,7],[2,5,10,11],[4,9],[8]] => [3,4,4] => ([(3,10),(4,10),(5,10),(6,9),(6,10),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[[1,2,5],[3,4,8],[6,7,11],[9,10]] => [2,3,3,3] => ([(2,10),(3,10),(4,9),(4,10),(5,9),(5,10),(6,8),(6,9),(6,10),(7,8),(7,9),(7,10),(8,9),(8,10),(9,10)],11)
[[1,2,3,7,12],[4,5,6,11],[8,9,10]] => [3,4,5] => ([(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,6,7,12],[2,5,10,11],[4,9],[8]] => [3,4,5] => ([(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,5,6,7,12],[2,9,10,11],[3],[4],[8]] => [7,5] => ([(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,3,4,11,12],[2,6,7],[5,9,10],[8]] => [4,3,5] => ([(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,7,11,12],[3,4,10],[5,6],[8,9]] => [2,2,3,5] => ([(4,11),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4,7,11,12],[2,6,10],[3,9],[5],[8]] => [4,3,5] => ([(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,4,8],[2,6,7,12],[5,10,11],[9]] => [4,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => [2,2,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4,7,8],[2,6,11,12],[3,10],[5],[9]] => [4,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,5,12],[3,4,8],[6,7,11],[9,10]] => [2,3,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4,5,12],[2,7,8],[3,10,11],[6],[9]] => [5,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,8,12],[2,5,11],[4,7],[6,10],[9]] => [3,2,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,3,6],[2,5,9],[4,8,12],[7,11],[10]] => [3,3,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]] => [4,2,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,4,7],[2,5,8],[3,6,9]] => [4,3,2] => ([(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6],[2,7],[3,8],[4,9],[5,10]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,4,7],[3,5,8],[6,9],[10]] => [2,2,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2,5],[4,7],[6,9],[8,10]] => [3,2,2,2,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7,9],[8]] => [7,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,5,6,9],[7,8]] => [6,3] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,5,6,9],[7],[8]] => [6,3] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,5,9],[6,7,8]] => [5,4] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,5,9],[6,7],[8]] => [5,2,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,5,9],[6],[7],[8]] => [5,4] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,4,9],[5,6,7],[8]] => [4,3,2] => ([(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,9],[5,6],[7,8]] => [4,2,3] => ([(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,9],[5,6],[7],[8]] => [4,2,3] => ([(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,9],[5],[6],[7],[8]] => [4,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,7],[4,5,6,9],[8]] => [3,4,2] => ([(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,9],[4,5,6],[7,8]] => [3,3,3] => ([(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,9],[4,5,6],[7],[8]] => [3,3,3] => ([(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,9],[4,5],[6,7],[8]] => [3,2,2,2] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,9],[4,5],[6],[7],[8]] => [3,2,4] => ([(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,9],[4],[5],[6],[7],[8]] => [3,6] => ([(5,8),(6,8),(7,8)],9)
[[1,2,5],[3,4,8],[6,7,9]] => [2,3,3,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5],[3,4,9],[6,7],[8]] => [2,3,2,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5],[3,4,9],[6],[7],[8]] => [2,3,4] => ([(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,9],[3,4],[5,6],[7],[8]] => [2,2,2,3] => ([(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,9],[3,4],[5],[6],[7],[8]] => [2,2,5] => ([(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,9],[3],[4],[5],[6],[7],[8]] => [2,7] => ([(6,8),(7,8)],9)
[[1,3],[2,5],[4,9],[6],[7],[8]] => [3,2,4] => ([(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3],[2,9],[4],[5],[6],[7],[8]] => [3,6] => ([(5,8),(6,8),(7,8)],9)
[[1,2,3,4,5,6,7,8,10],[9]] => [8,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7,10],[8,9]] => [7,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7,10],[8],[9]] => [7,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,10],[7,8,9]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,10],[7,8],[9]] => [6,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6,10],[7],[8],[9]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,10],[6,7,8,9]] => [5,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,10],[6,7,8],[9]] => [5,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,10],[6,7],[8,9]] => [5,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,10],[6,7],[8],[9]] => [5,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,10],[6],[7],[8],[9]] => [5,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,10],[5,6,7,8],[9]] => [4,4,2] => ([(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,10],[5,6,7],[8,9]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,10],[5,6,7],[8],[9]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,10],[5,6],[7,8],[9]] => [4,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,10],[5,6],[7],[8],[9]] => [4,2,4] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,10],[5],[6],[7],[8],[9]] => [4,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,7],[4,5,6,10],[8,9]] => [3,4,3] => ([(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,7],[4,5,6,10],[8],[9]] => [3,4,3] => ([(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,10],[4,5,6],[7,8],[9]] => [3,3,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,10],[4,5,6],[7],[8],[9]] => [3,3,4] => ([(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,10],[4,5],[6,7],[8,9]] => [3,2,2,3] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,10],[4,5],[6,7],[8],[9]] => [3,2,2,3] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,10],[4,5],[6],[7],[8],[9]] => [3,2,5] => ([(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,10],[4],[5],[6],[7],[8],[9]] => [3,7] => ([(6,9),(7,9),(8,9)],10)
[[1,2,5],[3,4,8],[6,7,10],[9]] => [2,3,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5],[3,4,10],[6,7],[8,9]] => [2,3,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5],[3,4,10],[6,7],[8],[9]] => [2,3,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5],[3,4,10],[6],[7],[8],[9]] => [2,3,5] => ([(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,10],[3,4],[5,6],[7,8],[9]] => [2,2,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,10],[3,4],[5,6],[7],[8],[9]] => [2,2,2,4] => ([(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,10],[3,4],[5],[6],[7],[8],[9]] => [2,2,6] => ([(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,10],[3],[4],[5],[6],[7],[8],[9]] => [2,8] => ([(7,9),(8,9)],10)
[[1,3],[2,5],[4,7],[6,10],[8],[9]] => [3,2,2,3] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2,5],[4,10],[6],[7],[8],[9]] => [3,2,5] => ([(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2,10],[4],[5],[6],[7],[8],[9]] => [3,7] => ([(6,9),(7,9),(8,9)],10)
[[1,2,4,5,6,7,8,9],[3]] => [2,7] => ([(6,8),(7,8)],9)
[[1,3,4,6,7,8,9],[2,5]] => [4,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,5,6,7,8,9],[2],[4]] => [3,6] => ([(5,8),(6,8),(7,8)],9)
[[1,3,5,6,8,9],[2,4,7]] => [3,3,3] => ([(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,4,7,8,9],[3,5],[6]] => [2,2,5] => ([(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,6,7,8,9],[2],[3],[5]] => [4,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,5,7,8],[2,4,6,9]] => [3,2,3,1] => ([(0,8),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5,7,9],[3,6,8],[4]] => [2,3,2,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,6,8,9],[2,5],[3,7]] => [4,2,3] => ([(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,5,8,9],[2,6],[4],[7]] => [3,2,4] => ([(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,7,8,9],[2],[3],[4],[6]] => [5,4] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,5,6],[3,7,8,9],[4]] => [2,4,3] => ([(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,7],[2,6,8],[5,9]] => [4,3,2] => ([(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,6,8],[2,7,9],[4],[5]] => [3,3,2,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,6,9],[3,4],[5,7],[8]] => [2,2,2,3] => ([(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,6,9],[2,7],[3],[5],[8]] => [4,2,3] => ([(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6,8,9],[2],[3],[4],[5],[7]] => [6,3] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,4],[3,5,7],[6,8],[9]] => [2,2,3,2] => ([(1,8),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,7],[2,8,9],[3],[5],[6]] => [4,3,2] => ([(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,8],[2,6],[3,7],[4,9]] => [5,3,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,7],[2,5],[4,8],[6],[9]] => [3,2,2,2] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,7],[2,8],[3],[4],[6],[9]] => [5,2,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,7,9],[2],[3],[4],[5],[6],[8]] => [7,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,4],[2,6],[3,8],[5],[7],[9]] => [4,2,2,1] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6],[2,8],[3],[4],[5],[7],[9]] => [6,2,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,8],[2],[3],[4],[5],[6],[7],[9]] => [8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,4,5,6,7,8,9,10],[3]] => [2,8] => ([(7,9),(8,9)],10)
[[1,3,4,6,7,8,9,10],[2,5]] => [4,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,5,6,7,8,9,10],[2],[4]] => [3,7] => ([(6,9),(7,9),(8,9)],10)
[[1,3,5,6,8,9,10],[2,4,7]] => [3,3,4] => ([(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,7,8,9,10],[3,5],[6]] => [2,2,6] => ([(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,6,7,8,9,10],[2],[3],[5]] => [4,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,5,7,8,10],[2,4,6,9]] => [3,2,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,7,9,10],[3,6,8],[4]] => [2,3,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,6,8,9,10],[2,5],[3,7]] => [4,2,4] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,5,8,9,10],[2,6],[4],[7]] => [3,2,5] => ([(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,7,8,9,10],[2],[3],[4],[6]] => [5,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,5,6,9],[3,7,8,10],[4]] => [2,4,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,7,10],[2,6,8],[5,9]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,6,8,10],[2,7,9],[4],[5]] => [3,3,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,6,9,10],[3,4],[5,7],[8]] => [2,2,2,4] => ([(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,6,9,10],[2,7],[3],[5],[8]] => [4,2,4] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,8,9,10],[2],[3],[4],[5],[7]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,8],[2,6,9,10],[5,7]] => [4,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,6,7],[2,8,9,10],[4],[5]] => [3,4,3] => ([(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,7,9],[2,5,8],[3,6,10]] => [4,3,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,7,9],[2,8,10],[3],[5],[6]] => [4,3,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,8,10],[2,6],[3,7],[4,9]] => [5,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,7,10],[2,5],[4,8],[6],[9]] => [3,2,2,3] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,7,10],[2,8],[3],[4],[6],[9]] => [5,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,7,9,10],[2],[3],[4],[5],[6],[8]] => [7,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,5],[3,7,8],[4,9,10],[6]] => [2,3,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,6],[2,5,9],[3,8],[7,10]] => [4,2,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,5],[2,6,8],[4,9],[7],[10]] => [3,2,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,8],[2,9,10],[3],[4],[6],[7]] => [5,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,8],[3,4],[5,6],[7,9],[10]] => [2,2,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,8],[2,6],[3,9],[5],[7],[10]] => [4,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,8],[2,9],[3],[4],[5],[7],[10]] => [6,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,8,10],[2],[3],[4],[5],[6],[7],[9]] => [8,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3],[2,5],[4,7],[6,9],[8],[10]] => [3,2,2,2,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5],[2,7],[3,9],[4],[6],[8],[10]] => [5,2,2,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,7],[2,9],[3],[4],[5],[6],[8],[10]] => [7,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,9],[2],[3],[4],[5],[6],[7],[8],[10]] => [9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,6,7,8],[2,9]] => [8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4,5,6,7,8],[2],[9]] => [8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4,5,6,7],[2,8,9]] => [7,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4,5,6,7],[2,9],[8]] => [7,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4,5,6,7],[2],[8],[9]] => [7,2] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4,5,6],[2,7,8,9]] => [6,3] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4,5,6],[2,8,9],[7]] => [6,3] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4,5,6],[2,8],[7,9]] => [6,2,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,5,6],[2,8],[7],[9]] => [6,2,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,5,6],[2],[7],[8],[9]] => [6,3] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4,5],[2,7,8],[6,9]] => [5,3,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,5],[2,7,8],[6],[9]] => [5,3,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,5],[2,7],[6,9],[8]] => [5,2,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,5],[2,7],[6],[8],[9]] => [5,2,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,5],[2],[6],[7],[8],[9]] => [5,4] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4],[2,6,7],[5,8,9]] => [4,3,2] => ([(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4],[2,6,7],[5,9],[8]] => [4,3,2] => ([(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4],[2,6,7],[5],[8],[9]] => [4,3,2] => ([(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4],[2,6],[5,8],[7,9]] => [4,2,2,1] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4],[2,6],[5,8],[7],[9]] => [4,2,2,1] => ([(0,8),(1,7),(1,8),(2,6),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4],[2,6],[5],[7],[8],[9]] => [4,2,3] => ([(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4],[2],[5],[6],[7],[8],[9]] => [4,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[[1,3],[2,5],[4,7],[6],[8],[9]] => [3,2,2,2] => ([(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3],[2,5],[4],[6],[7],[8],[9]] => [3,2,4] => ([(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3],[2],[4],[5],[6],[7],[8],[9]] => [3,6] => ([(5,8),(6,8),(7,8)],9)
[[1,3,4,5,6,7,8,9],[2,10]] => [9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,6,7,8,9],[2],[10]] => [9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,6,7,8],[2,9,10]] => [8,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,6,7,8],[2,10],[9]] => [8,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,6,7,8],[2],[9],[10]] => [8,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,6,7],[2,8,9,10]] => [7,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,6,7],[2,9,10],[8]] => [7,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,6,7],[2,9],[8,10]] => [7,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,6,7],[2,9],[8],[10]] => [7,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,6,7],[2],[8],[9],[10]] => [7,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,6],[2,8,9,10],[7]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5,6],[2,8,9],[7,10]] => [6,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,6],[2,8,9],[7],[10]] => [6,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,6],[2,8],[7,10],[9]] => [6,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,6],[2,8],[7],[9],[10]] => [6,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5,6],[2],[7],[8],[9],[10]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4,5],[2,7,8,9],[6,10]] => [5,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5],[2,7,8,9],[6],[10]] => [5,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5],[2,7,8],[6,9,10]] => [5,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5],[2,7,8],[6,10],[9]] => [5,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5],[2,7,8],[6],[9],[10]] => [5,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5],[2,7],[6,9],[8,10]] => [5,2,2,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5],[2,7],[6,9],[8],[10]] => [5,2,2,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5],[2,7],[6],[8],[9],[10]] => [5,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,5],[2],[6],[7],[8],[9],[10]] => [5,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,4],[2,6,7],[5,9],[8,10]] => [4,3,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4],[2,6,7],[5,9],[8],[10]] => [4,3,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4],[2,6,7],[5],[8],[9],[10]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4],[2,6],[5,8],[7,10],[9]] => [4,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4],[2,6],[5,8],[7],[9],[10]] => [4,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4],[2,6],[5],[7],[8],[9],[10]] => [4,2,4] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4],[2],[5],[6],[7],[8],[9],[10]] => [4,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,3],[2,5],[4,7],[6],[8],[9],[10]] => [3,2,2,3] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2,5],[4],[6],[7],[8],[9],[10]] => [3,2,5] => ([(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3],[2],[4],[5],[6],[7],[8],[9],[10]] => [3,7] => ([(6,9),(7,9),(8,9)],10)
[[1,2,4,6,8,10],[3,5,7,9]] => [2,2,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,6,8,9,10],[3,5,7]] => [2,2,2,4] => ([(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,6,7,8,10],[3,5,9]] => [2,2,4,2] => ([(1,9),(2,9),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,6,7,9,10],[3,5,8]] => [2,2,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,6,7,8,9,10],[3,5]] => [2,2,6] => ([(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,6,8,10],[3,7,9]] => [2,4,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,6,9,10],[3,7,8]] => [2,4,4] => ([(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,7,8,10],[3,6,9]] => [2,3,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,7,9,10],[3,6,8]] => [2,3,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,7,8,9,10],[3,6]] => [2,3,5] => ([(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,6,7,8,10],[3,9]] => [2,6,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,6,7,9,10],[3,8]] => [2,5,3] => ([(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,6,8,9,10],[3,7]] => [2,4,4] => ([(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,6,8,10],[5,7,9]] => [4,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,6,9,10],[5,7,8]] => [4,2,4] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,7,8,10],[5,6,9]] => [4,4,2] => ([(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,7,9,10],[5,6,8]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,7,8,9,10],[5,6]] => [4,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,5,6,8,10],[4,7,9]] => [3,3,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,6,9,10],[4,7,8]] => [3,3,4] => ([(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,7,8,10],[4,6,9]] => [3,2,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,7,9,10],[4,6,8]] => [3,2,2,3] => ([(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,7,8,9,10],[4,6]] => [3,2,5] => ([(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,6,7,8,10],[4,9]] => [3,5,2] => ([(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,6,7,9,10],[4,8]] => [3,4,3] => ([(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,6,8,9,10],[4,7]] => [3,3,4] => ([(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,5,6,7,8,9,10],[4]] => [3,7] => ([(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,8,10],[7,9]] => [6,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,6,9,10],[7,8]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,7,8,10],[6,9]] => [5,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,7,9,10],[6,8]] => [5,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,5,8,9,10],[6,7]] => [5,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,6,7,8,10],[5,9]] => [4,4,2] => ([(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,6,7,9,10],[5,8]] => [4,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,6,8,9,10],[5,7]] => [4,2,4] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,6,7,8,9,10],[5]] => [4,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,7,9,10],[8]] => [7,3] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,6,8,9,10],[7]] => [6,4] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,5,7,8,9,10],[6]] => [5,5] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,4,6,8,10,12],[3,5,7,9,11]] => [2,2,2,2,2,2] => ([(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,7),(5,8),(5,9),(5,10),(5,11),(6,7),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,8,10,11,12],[3,5,7,9]] => [2,2,2,2,4] => ([(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,8,9,10,12],[3,5,7,11]] => [2,2,2,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,8,9,11,12],[3,5,7,10]] => [2,2,2,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,8,9,10,11,12],[3,5,7]] => [2,2,2,6] => ([(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,8,10,12],[3,5,9,11]] => [2,2,4,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,8,11,12],[3,5,9,10]] => [2,2,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,9,10,12],[3,5,8,11]] => [2,2,3,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,9,11,12],[3,5,8,10]] => [2,2,3,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,9,10,11,12],[3,5,8]] => [2,2,3,5] => ([(4,11),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,8,9,10,12],[3,5,11]] => [2,2,6,2] => ([(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,8,9,11,12],[3,5,10]] => [2,2,5,3] => ([(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,6,7,8,10,11,12],[3,5,9]] => [2,2,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,8,10,12],[3,7,9,11]] => [2,4,2,2,2] => ([(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,8,11,12],[3,7,9,10]] => [2,4,2,4] => ([(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,9,10,12],[3,7,8,11]] => [2,4,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,9,11,12],[3,7,8,10]] => [2,4,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,8,10,12],[3,6,9,11]] => [2,3,3,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,8,11,12],[3,6,9,10]] => [2,3,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,9,10,12],[3,6,8,11]] => [2,3,2,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,9,11,12],[3,6,8,10]] => [2,3,2,2,3] => ([(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,9,10,11,12],[3,6,8]] => [2,3,2,5] => ([(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,8,9,10,12],[3,6,11]] => [2,3,5,2] => ([(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,8,9,11,12],[3,6,10]] => [2,3,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,7,8,10,11,12],[3,6,9]] => [2,3,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,7,8,10,12],[3,9,11]] => [2,6,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,7,8,11,12],[3,9,10]] => [2,6,4] => ([(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,7,9,10,12],[3,8,11]] => [2,5,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,7,9,11,12],[3,8,10]] => [2,5,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,7,10,11,12],[3,8,9]] => [2,5,5] => ([(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,8,9,10,12],[3,7,11]] => [2,4,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,8,9,11,12],[3,7,10]] => [2,4,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,8,10,11,12],[3,7,9]] => [2,4,2,4] => ([(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,7,8,10,11,12],[3,9]] => [2,6,4] => ([(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,4,5,6,7,9,10,11,12],[3,8]] => [2,5,5] => ([(4,11),(5,11),(6,11),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,8,10,12],[5,7,9,11]] => [4,2,2,2,2] => ([(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,8),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,8,11,12],[5,7,9,10]] => [4,2,2,4] => ([(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,9,10,12],[5,7,8,11]] => [4,2,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,9,11,12],[5,7,8,10]] => [4,2,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,8,10,12],[5,6,9,11]] => [4,4,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,8,11,12],[5,6,9,10]] => [4,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,9,10,12],[5,6,8,11]] => [4,3,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,9,11,12],[5,6,8,10]] => [4,3,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,9,10,11,12],[5,6,8]] => [4,3,5] => ([(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,8,9,10,12],[5,6,11]] => [4,6,2] => ([(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,8,9,11,12],[5,6,10]] => [4,5,3] => ([(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,7,8,10,11,12],[5,6,9]] => [4,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,8,10,12],[4,7,9,11]] => [3,3,2,2,2] => ([(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,8,11,12],[4,7,9,10]] => [3,3,2,4] => ([(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,9,10,12],[4,7,8,11]] => [3,3,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,9,11,12],[4,7,8,10]] => [3,3,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,8,10,12],[4,6,9,11]] => [3,2,3,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,8,11,12],[4,6,9,10]] => [3,2,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,9,10,12],[4,6,8,11]] => [3,2,2,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,9,11,12],[4,6,8,10]] => [3,2,2,2,3] => ([(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,8),(5,9),(5,10),(5,11),(6,8),(6,9),(6,10),(6,11),(7,8),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,8,9,10,12],[4,6,11]] => [3,2,5,2] => ([(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,8,9,11,12],[4,6,10]] => [3,2,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,8,10,11,12],[4,6,9]] => [3,2,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,7,8,9,10,11,12],[4,6]] => [3,2,7] => ([(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,7,8,10,12],[4,9,11]] => [3,5,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,7,8,11,12],[4,9,10]] => [3,5,4] => ([(3,11),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,7,9,10,12],[4,8,11]] => [3,4,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,7,9,11,12],[4,8,10]] => [3,4,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,7,10,11,12],[4,8,9]] => [3,4,5] => ([(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,8,9,10,12],[4,7,11]] => [3,3,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,8,9,11,12],[4,7,10]] => [3,3,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,8,10,11,12],[4,7,9]] => [3,3,2,4] => ([(3,11),(4,10),(4,11),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,7,8,9,11,12],[4,10]] => [3,6,3] => ([(2,11),(3,11),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,7,8,10,11,12],[4,9]] => [3,5,4] => ([(3,11),(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,5,6,7,9,10,11,12],[4,8]] => [3,4,5] => ([(4,11),(5,11),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,8,10,12],[7,9,11]] => [6,2,2,2] => ([(1,11),(2,10),(2,11),(3,9),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,8,11,12],[7,9,10]] => [6,2,4] => ([(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,9,10,12],[7,8,11]] => [6,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,9,11,12],[7,8,10]] => [6,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,10,11,12],[7,8,9]] => [6,6] => ([(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3,4,5,7,8,10,12],[6,9,11]] => [5,3,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,7,8,11,12],[6,9,10]] => [5,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,7,9,10,12],[6,8,11]] => [5,2,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,7,9,11,12],[6,8,10]] => [5,2,2,3] => ([(2,11),(3,10),(3,11),(4,9),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,7,10,11,12],[6,8,9]] => [5,2,5] => ([(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,8,9,10,12],[6,7,11]] => [5,5,2] => ([(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,8,9,11,12],[6,7,10]] => [5,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,8,10,11,12],[6,7,9]] => [5,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,7,8,10,12],[5,9,11]] => [4,4,2,2] => ([(1,11),(2,10),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,7,8,11,12],[5,9,10]] => [4,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,7,9,10,12],[5,8,11]] => [4,3,3,2] => ([(1,11),(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,7,9,11,12],[5,8,10]] => [4,3,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,7,10,11,12],[5,8,9]] => [4,3,5] => ([(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,8,9,10,12],[5,7,11]] => [4,2,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,8,9,11,12],[5,7,10]] => [4,2,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,8,10,11,12],[5,7,9]] => [4,2,2,4] => ([(3,11),(4,10),(4,11),(5,9),(5,10),(5,11),(6,9),(6,10),(6,11),(7,9),(7,10),(7,11),(8,9),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,7,8,9,10,12],[5,11]] => [4,6,2] => ([(1,11),(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,7,8,9,11,12],[5,10]] => [4,5,3] => ([(2,11),(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,7,8,10,11,12],[5,9]] => [4,4,4] => ([(3,11),(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,6,7,9,10,11,12],[5,8]] => [4,3,5] => ([(4,11),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,7,9,11,12],[8,10]] => [7,2,3] => ([(2,11),(3,10),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,7,10,11,12],[8,9]] => [7,5] => ([(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3,4,5,6,8,9,10,12],[7,11]] => [6,4,2] => ([(1,11),(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,8,9,11,12],[7,10]] => [6,3,3] => ([(2,11),(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,8,10,11,12],[7,9]] => [6,2,4] => ([(3,11),(4,10),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,9,10,11,12],[7,8]] => [6,6] => ([(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3,4,5,7,8,9,10,12],[6,11]] => [5,5,2] => ([(1,11),(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,7,8,9,11,12],[6,10]] => [5,4,3] => ([(2,11),(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,7,8,10,11,12],[6,9]] => [5,3,4] => ([(3,11),(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,7,9,10,11,12],[6,8]] => [5,2,5] => ([(4,11),(5,10),(5,11),(6,10),(6,11),(7,10),(7,11),(8,10),(8,11),(9,10),(9,11),(10,11)],12)
[[1,2,3,4,5,6,7,8,9,10,12],[11]] => [10,2] => ([(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3,4,5,6,7,9,10,11,12],[8]] => [7,5] => ([(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3,4,5,6,8,9,10,11,12],[7]] => [6,6] => ([(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,5,6,7,8],[3,4,9]] => [2,6,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5,6,7,8],[3,4],[9]] => [2,6,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,5,6,7,8],[2],[3],[9]] => [8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,3,7,8],[4,5,6,9]] => [3,5,1] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,7,8],[4,5,6],[9]] => [3,5,1] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,6,7,8],[2,5],[4,9]] => [3,5,1] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,6,7,8],[2,5],[4],[9]] => [3,5,1] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,6,7,8],[2],[3],[4],[9]] => [8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,4,8],[2,6,7],[5,9]] => [4,4,1] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,4,8],[2,6,7],[5],[9]] => [4,4,1] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,7,8],[3,4],[5,6],[9]] => [2,2,4,1] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,7,8],[2,6],[3],[5],[9]] => [4,4,1] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,6,7,8],[2],[3],[4],[5],[9]] => [8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,5],[3,4,8],[6,7],[9]] => [2,3,3,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,4,5],[2,7,8],[3],[6],[9]] => [5,3,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,8],[2,5],[4,7],[6,9]] => [3,2,3,1] => ([(0,8),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,3,8],[2,5],[4,7],[6],[9]] => [3,2,3,1] => ([(0,8),(1,8),(2,7),(2,8),(3,6),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,5,8],[2,7],[3],[4],[6],[9]] => [5,3,1] => ([(0,8),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,7,8],[2],[3],[4],[5],[6],[9]] => [8,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,5,6,7,8,9],[3,4,10]] => [2,7,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,6,7,8,9],[3,4],[10]] => [2,7,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,5,6,7,8,9],[2],[3],[10]] => [9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,7,8,9],[4,5,6,10]] => [3,6,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,7,8,9],[4,5,6],[10]] => [3,6,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,6,7,8,9],[2,5],[4,10]] => [3,6,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,6,7,8,9],[2,5],[4],[10]] => [3,6,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,6,7,8,9],[2],[3],[4],[10]] => [9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,4,9],[5,6,7,8],[10]] => [4,5,1] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,8,9],[2,6,7],[5,10]] => [4,5,1] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,4,8,9],[2,6,7],[5],[10]] => [4,5,1] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,7,8,9],[3,4],[5,6],[10]] => [2,2,5,1] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,7,8,9],[2,6],[3],[5],[10]] => [4,5,1] => ([(0,9),(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,7,8,9],[2],[3],[4],[5],[10]] => [9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,5,9],[3,4,8],[6,7,10]] => [2,3,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,9],[3,4,8],[6,7],[10]] => [2,3,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,5,9],[2,7,8],[3],[6],[10]] => [5,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,8,9],[2,5],[4,7],[6,10]] => [3,2,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,8,9],[2,5],[4,7],[6],[10]] => [3,2,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,8,9],[2,7],[3],[4],[6],[10]] => [5,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,7,8,9],[2],[3],[4],[5],[6],[10]] => [9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3,6],[2,5,9],[4,8],[7,10]] => [3,3,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,3,6],[2,5,9],[4,8],[7],[10]] => [3,3,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,5,6],[2,8,9],[3],[4],[7],[10]] => [6,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,9],[3,4],[5,6],[7,8],[10]] => [2,2,2,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,4,9],[2,6],[3,8],[5],[7],[10]] => [4,2,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,6,9],[2,8],[3],[4],[5],[7],[10]] => [6,3,1] => ([(0,9),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,8,9],[2],[3],[4],[5],[6],[7],[10]] => [9,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3,6,7,8,9],[4,5]] => [3,6] => ([(5,8),(6,8),(7,8)],9)
[[1,2,5,6,7,8,9],[3],[4]] => [2,7] => ([(6,8),(7,8)],9)
[[1,2,3,4,8,9],[5,6,7]] => [4,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,4,7,8,9],[3,6],[5]] => [2,2,5] => ([(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,6,7,8,9],[3],[4],[5]] => [2,7] => ([(6,8),(7,8)],9)
[[1,2,4,5,9],[3,7,8],[6]] => [2,3,4] => ([(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,8,9],[4,5],[6,7]] => [3,2,4] => ([(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5,8,9],[3,7],[4],[6]] => [2,3,4] => ([(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,7,8,9],[3],[4],[5],[6]] => [2,7] => ([(6,8),(7,8)],9)
[[1,2,5,6],[3,4,8,9],[7]] => [2,4,3] => ([(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,6],[4,5,9],[7,8]] => [3,3,3] => ([(2,8),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5,6],[3,8,9],[4],[7]] => [2,4,3] => ([(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,4,9],[3,6],[5,8],[7]] => [2,2,2,3] => ([(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,6,9],[3,8],[4],[5],[7]] => [2,4,3] => ([(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,8,9],[3],[4],[5],[6],[7]] => [2,7] => ([(6,8),(7,8)],9)
[[1,2,4],[3,6,7],[5,9],[8]] => [2,2,3,2] => ([(1,8),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,7],[3,6,9],[4],[5],[8]] => [2,5,2] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5],[3,7],[4,9],[6],[8]] => [2,3,2,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,7],[3,9],[4],[5],[6],[8]] => [2,5,2] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2],[3,6],[4,8],[5],[7],[9]] => [2,4,2,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2],[3,8],[4],[5],[6],[7],[9]] => [2,6,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,6,7,8,9,10],[4,5]] => [3,7] => ([(6,9),(7,9),(8,9)],10)
[[1,2,5,6,7,8,9,10],[3],[4]] => [2,8] => ([(7,9),(8,9)],10)
[[1,2,3,4,8,9,10],[5,6,7]] => [4,6] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,4,7,8,9,10],[3,6],[5]] => [2,2,6] => ([(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,6,7,8,9,10],[3],[4],[5]] => [2,8] => ([(7,9),(8,9)],10)
[[1,2,4,5,9,10],[3,7,8],[6]] => [2,3,5] => ([(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,8,9,10],[4,5],[6,7]] => [3,2,5] => ([(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,8,9,10],[3,7],[4],[6]] => [2,3,5] => ([(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,7,8,9,10],[3],[4],[5],[6]] => [2,8] => ([(7,9),(8,9)],10)
[[1,2,4,5,6],[3,8,9,10],[7]] => [2,4,4] => ([(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,6,10],[4,5,9],[7,8]] => [3,3,4] => ([(3,9),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,6,10],[3,8,9],[4],[7]] => [2,4,4] => ([(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,9,10],[3,6],[5,8],[7]] => [2,2,2,4] => ([(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,6,9,10],[3,8],[4],[5],[7]] => [2,4,4] => ([(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,8,9,10],[3],[4],[5],[6],[7]] => [2,8] => ([(7,9),(8,9)],10)
[[1,2,6,7],[3,5,9,10],[4],[8]] => [2,5,3] => ([(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,7],[3,6,10],[5,9],[8]] => [2,2,3,3] => ([(2,9),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,6,7],[3,9,10],[4],[5],[8]] => [2,5,3] => ([(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,10],[3,7],[4,9],[6],[8]] => [2,3,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,7,10],[3,9],[4],[5],[6],[8]] => [2,5,3] => ([(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,9,10],[3],[4],[5],[6],[7],[8]] => [2,8] => ([(7,9),(8,9)],10)
[[1,2,3],[4,5,8],[6,7],[9,10]] => [3,2,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,7),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5],[3,7,8],[4,10],[6],[9]] => [2,3,3,2] => ([(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,8],[3,7,10],[4],[5],[6],[9]] => [2,6,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4],[3,6],[5,8],[7,10],[9]] => [2,2,2,2,2] => ([(1,9),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,6],[3,8],[4,10],[5],[7],[9]] => [2,4,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,8],[3,10],[4],[5],[6],[7],[9]] => [2,6,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,5],[4,7],[6,9],[8],[10]] => [2,3,2,2,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,7],[4,9],[5],[6],[8],[10]] => [2,5,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2],[3,9],[4],[5],[6],[7],[8],[10]] => [2,7,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,7,8,9],[5,6]] => [4,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,4,5,8,9],[3,7],[6]] => [2,3,4] => ([(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,4,5,6,7],[3,9],[8]] => [2,5,2] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5,6,9],[3,8],[4],[7]] => [2,4,3] => ([(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,3,4,7,8],[5,6],[9]] => [4,4,1] => ([(0,8),(1,8),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5,6,7,8],[3],[4],[9]] => [2,6,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,4,5],[3,7],[6,9],[8]] => [2,3,2,2] => ([(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,6,7],[3,9],[4],[5],[8]] => [2,5,2] => ([(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,5,6],[3,8],[4],[7],[9]] => [2,4,2,1] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,6),(4,7),(4,8),(5,6),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,7,8],[3],[4],[5],[6],[9]] => [2,6,1] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(5,8),(6,7),(6,8),(7,8)],9)
[[1,2,4,5,8,9,10],[3,7],[6]] => [2,3,5] => ([(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,6,7],[3,9,10],[8]] => [2,5,3] => ([(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,9,10],[5,6],[7,8]] => [4,2,4] => ([(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,6,9,10],[3,8],[4],[7]] => [2,4,4] => ([(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,6,7,8,9],[3],[10]] => [2,7,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,3,4,7,8],[5,6],[9,10]] => [4,4,2] => ([(1,9),(2,9),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,6,7,8],[3,10],[4],[9]] => [2,6,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,10],[3,7],[6,9],[8]] => [2,3,2,3] => ([(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,6,7,10],[3,9],[4],[5],[8]] => [2,5,3] => ([(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5,8,9],[3,7],[6],[10]] => [2,3,4,1] => ([(0,9),(1,9),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,6,7,8,9],[3],[4],[5],[10]] => [2,7,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,5,6],[3,8],[4,10],[7],[9]] => [2,4,2,2] => ([(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,7,8],[3,10],[4],[5],[6],[9]] => [2,6,2] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,4,5],[3,7],[6,9],[8],[10]] => [2,3,2,2,1] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,7),(3,8),(3,9),(4,6),(4,7),(4,8),(4,9),(5,6),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,6,7],[3,9],[4],[5],[8],[10]] => [2,5,2,1] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,7),(5,8),(5,9),(6,7),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
[[1,2,8,9],[3],[4],[5],[6],[7],[10]] => [2,7,1] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(6,9),(7,8),(7,9),(8,9)],10)
Map
peak composition
Description
The composition corresponding to the peak set of a standard tableau.
Let $T$ be a standard tableau of size $n$.
An entry $i$ of $T$ is a descent if $i+1$ is in a lower row (in English notation), otherwise $i$ is an ascent.
An entry $2 \leq i \leq n-1$ is a peak, if $i-1$ is an ascent and $i$ is a descent.
This map returns the composition $c_1,\dots,c_k$ of $n$ such that $\{c_1, c_1+c_2,\dots, c_1+\dots+c_k\}$ is the peak set of $T$.
Let $T$ be a standard tableau of size $n$.
An entry $i$ of $T$ is a descent if $i+1$ is in a lower row (in English notation), otherwise $i$ is an ascent.
An entry $2 \leq i \leq n-1$ is a peak, if $i-1$ is an ascent and $i$ is a descent.
This map returns the composition $c_1,\dots,c_k$ of $n$ such that $\{c_1, c_1+c_2,\dots, c_1+\dots+c_k\}$ is the peak set of $T$.
Map
to threshold graph
Description
The threshold graph corresponding to the composition.
A threshold graph is a graph that can be obtained from the empty graph by adding successively isolated and dominating vertices.
A threshold graph is uniquely determined by its degree sequence.
The Laplacian spectrum of a threshold graph is integral. Interpreting it as an integer partition, it is the conjugate of the partition given by its degree sequence.
A threshold graph is a graph that can be obtained from the empty graph by adding successively isolated and dominating vertices.
A threshold graph is uniquely determined by its degree sequence.
The Laplacian spectrum of a threshold graph is integral. Interpreting it as an integer partition, it is the conjugate of the partition given by its degree sequence.
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